[ { "instruction": "Find out the maximum sub-array of non negative numbers from an array. \n\n\n\nThe sub-array should be continuous. That is, a sub-array created by choosing the second and fourth element and skipping the third element is invalid.\n\n\n\nMaximum sub-array is defined in terms of the sum of the elements in the sub-array. Sub-array A is greater than sub-array B if sum(A) > sum(B).\n\n\n\nNOTE 1 :If there is a tie, then compare with segment's length and return segment which has maximum length \n\n\n\nNOTE 2: If there is still a tie, then return the segment with minimum starting index.\n\n\n\n-----Input-----\n\n\n\nThe first line contains the number of test cases. Each test cases contains an integer N. next line consists of N integers, the elements of the array.\n\n\n\n-----Output-----\n\n\n\nPrint out the maximum sub-array as stated above.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100 \n\n- 1 \u2264 N \u2264 105 \n\n- 1 \u2264 Ai \u2264 105 \n\n\n\n-----Example-----\n\nInput:\n\n\n\n1\n\n6\n\n1 2 5 -7 2 3\n\n\n\nOutput:\n\n\n\n1 2 5", "responses": { "for t in range(int(input())):\n n=int(input())\n a=list(map(int,input().split()))\n s=0\n l=[]\n for i in range(n):\n if (a[i]<0):\n e=i\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n s=i+1\n e=n\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n x=max(l)\n s=n-x[2]\n e=x[1]+s\n for i in range(s,e):\n print(a[i], end=' ')\n print(\"\")": 1.0, "for t in range(int(input())):\n a=list(map(int,input().split()))\n s=0\n l=[]\n for i in range(n):\n if (a[i]>=0):\n e=i\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n s=i+1\n e=n\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n x=max(l)\n s=n-x[2]\n e=x[1]+s\n for i in range(s,e):\n print(a[i], end=' ')\n print(\"\")": 0.0, "for t in range(int(input())):\n n=int(input())\n a=list(map(int,input().split()))\n s=0\n l=[]\n for i in range(n):\n if (a[i]>=0):\n e=i\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n s=i+1\n e=n\n l.append((ss,e-s,n-s))\n x=max(l)\n s=n-x[2]\n e=x[1]+s\n for i in range(s,e):\n print(a[i], end=' ')\n print(\"\")": 0.0, "for t in range(int(input())):\n n=int(input())\n a=list(map(int,input().split()))\n s=0\n l=[]\n for i in range(n):\n if (a[i]>=0):\n e=i\n ss=sum(a[s:e])\n l.append((ss,e-s,n-s))\n s=i+1\n e=n\n ss=sum(a[s:e])\n x=max(l)\n s=n-x[2]\n e=x[1]+s\n for i in range(s,e):\n print(a[i], end=' ')\n print(\"\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFind out the maximum sub-array of non negative numbers from an array. \n\n\n\nThe sub-array should be continuous. That is, a sub-array created by choosing the second and fourth element and skipping the third element is invalid.\n\n\n\nMaximum sub-array is defined in terms of the sum of the elements in the sub-array. Sub-array A is greater than sub-array B if sum(A) > sum(B).\n\n\n\nNOTE 1 :If there is a tie, then compare with segment's length and return segment which has maximum length \n\n\n\nNOTE 2: If there is still a tie, then return the segment with minimum starting index.\n\n\n\n-----Input-----\n\n\n\nThe first line contains the number of test cases. Each test cases contains an integer N. next line consists of N integers, the elements of the array.\n\n\n\n-----Output-----\n\n\n\nPrint out the maximum sub-array as stated above.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100 \n\n- 1 \u2264 N \u2264 105 \n\n- 1 \u2264 Ai \u2264 105 \n\n\n\n-----Example-----\n\nInput:\n\n\n\n1\n\n6\n\n1 2 5 -7 2 3\n\n\n\nOutput:\n\n\n\n1 2 5\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A robot is put at the origin in a two-dimensional plane.\n\nInitially, the robot is facing in the positive x-axis direction.\n\nThis robot will be given an instruction sequence s.\n\ns consists of the following two kinds of letters, and will be executed in order from front to back.\n\n - F : Move in the current direction by distance 1.\n\n - T : Turn 90 degrees, either clockwise or counterclockwise.\n\nThe objective of the robot is to be at coordinates (x, y) after all the instructions are executed.\n\nDetermine whether this objective is achievable.\n\n\n\n-----Constraints-----\n\n - s consists of F and T.\n\n - 1 \\leq |s| \\leq 8 000\n\n - x and y are integers.\n\n - |x|, |y| \\leq |s|\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\ns\n\nx y\n\n\n\n-----Output-----\n\nIf the objective is achievable, print Yes; if it is not, print No.\n\n\n\n-----Sample Input-----\n\nFTFFTFFF\n\n4 2\n\n\n\n-----Sample Output-----\n\nYes\n\n\n\nThe objective can be achieved by, for example, turning counterclockwise in the first T and turning clockwise in the second T.", "responses": { "from sys import setrecursionlimit, stderr\nfrom functools import reduce\nfrom itertools import *\nfrom collections import defaultdict\nfrom bisect import *\ndef read():\n return int(input())\n \ndef reads():\n return [int(x) for x in input().split()]\nS = input()\nx, y = reads()\nqs = [len(s) for s in S.split('T')]\ndef knapsack(xs, target):\n es = {0}\n for x in xs:\n es = {e - x for e in es} | {e + x for e in es}\n return target in es\nans = knapsack(qs[2::2], x-qs[0]) and knapsack(qs[1::2], y)\nprint(\"Yes\" if ans else \"No\")": 1.0, "```python\nfrom sys import setrecursionlimit, stderr\nfrom functools import reduce\nfrom itertools import *\nfrom collections import defaultdict\nfrom bisect import *\n\ndef read():\n return int(input())\n\ndef reads():\n return [int(x) for x in input().split()]\n\nS = input()\nx, y = reads()\nqs = [len(s) for s in S.split('T')]": 0.0, "```python\nfrom sys import setrecursionlimit, stderr\nfrom functools import reduce\nfrom itertools import *\nfrom collections import defaultdict\nfrom bisect import *": 0.0, "```python\nfrom sys import setrecursionlimit, stderr\nfrom functools import reduce\nfrom itertools import *\nfrom collections import defaultdict\nfrom bisect import *\n\ndef read():\n return int(input())\n\ndef reads():\n return [int(x) for x in input().split()]\n\nS = input()\nx, y = reads()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA robot is put at the origin in a two-dimensional plane.\n\nInitially, the robot is facing in the positive x-axis direction.\n\nThis robot will be given an instruction sequence s.\n\ns consists of the following two kinds of letters, and will be executed in order from front to back.\n\n - F : Move in the current direction by distance 1.\n\n - T : Turn 90 degrees, either clockwise or counterclockwise.\n\nThe objective of the robot is to be at coordinates (x, y) after all the instructions are executed.\n\nDetermine whether this objective is achievable.\n\n\n\n-----Constraints-----\n\n - s consists of F and T.\n\n - 1 \\leq |s| \\leq 8 000\n\n - x and y are integers.\n\n - |x|, |y| \\leq |s|\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\ns\n\nx y\n\n\n\n-----Output-----\n\nIf the objective is achievable, print Yes; if it is not, print No.\n\n\n\n-----Sample Input-----\n\nFTFFTFFF\n\n4 2\n\n\n\n-----Sample Output-----\n\nYes\n\n\n\nThe objective can be achieved by, for example, turning counterclockwise in the first T and turning clockwise in the second T.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a license key represented as a string S which consists only alphanumeric character and dashes. The string is separated into N+1 groups by N dashes.\n\n\n\nGiven a number K, we would want to reformat the strings such that each group contains exactly K characters, except for the first group which could be shorter than K, but still must contain at least one character. Furthermore, there must be a dash inserted between two groups and all lowercase letters should be converted to uppercase.\n\n\n\nGiven a non-empty string S and a number K, format the string according to the rules described above.", "responses": { "class Solution:\n def licenseKeyFormatting(self, S, K):\n \"\"\"\n :type S: str\n :type K: int\n :rtype: str\n \"\"\"\n # count_dash = 0\n # for item in S:\n # if item == '-':\n # count_dash += 1\n \n # S_len = len(S) - count_dash\n \n # ans = ''\n # second_from = 0\n \n # frist_group = S_len % K\n # if frist_group != 0:\n # count = 0\n # for i in range(len(S)):\n # if S[i] != '-':\n # ans = ans + S[i].upper()\n # count += 1\n # if count == frist_group:\n # second_from = i + 1\n # ans += '-'\n # break\n # count_k = 0\n # for j in range(second_from,len(S)):\n # if S[j] != '-':\n # ans = ans + S[j].upper()\n # count_k += 1\n # if count_k == K:\n # ans = ans + '-'\n # count_k = 0\n \n # return ans[:-1]\n S = S.replace('-', '')[::-1].upper()\n return '-'.join([S[i:i+K] for i in range(0, len(S), K)])[::-1]": 1.0, "class Solution:\n def licenseKeyFormatting(self, S, K):\n \"\"\"\n :type S: str\n :type K: int\n :rtype: str\n \"\"\"\n S = S.replace('-','')[::-1].upper()\n return '-'.join([S[i:i+K] for i in range(0, len(S), K)])": 0.0, "class Solution:\n def licenseKeyFormatting(self, S, K):\n \"\"\"\n :type S: str\n :type K: int\n :rtype: str\n \"\"\"\n count_dash = 0\n for item in S:\n if item == '-':\n count_dash += 1\n \n S_len = len(S) - count_dash\n \n ans = ''\n second_from = 0\n \n frist_group = S_len % K\n if frist_group != 0:\n count = 0\n for i in range(len(S)):\n if S[i] != '-':\n ans = ans + S[i].upper()\n count += 1\n if count == frist_group:\n second_from = i + 1\n ans += '-'\n break\n count_k = 0\n for j in range(second_from,len(S)):\n if S[j] != '-':\n ans = ans + S[j].upper()\n count_k += 1\n if count_k == K:\n ans = ans + '-'\n count_k = 0\n \n return ans[:-1]": 0.0, "class Solution:\n def licenseKeyFormatting(self, S, K):\n \"\"\"\n :type S: str\n :type K: int\n :rtype: str\n \"\"\"\n S = S.replace('-', '')[::-1].upper()\n return '-'.join([S[i:i+K] for i in range(0, len(S))])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a license key represented as a string S which consists only alphanumeric character and dashes. The string is separated into N+1 groups by N dashes.\n\n\n\nGiven a number K, we would want to reformat the strings such that each group contains exactly K characters, except for the first group which could be shorter than K, but still must contain at least one character. Furthermore, there must be a dash inserted between two groups and all lowercase letters should be converted to uppercase.\n\n\n\nGiven a non-empty string S and a number K, format the string according to the rules described above.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty array containing only positive integers, find if the array can be partitioned into two subsets such that the sum of elements in both subsets is equal.\n\n\n\n\n\nNote:\n\n\n\nEach of the array element will not exceed 100.\n\nThe array size will not exceed 200.", "responses": { "class Solution:\n def canPartition(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n _sum=sum(nums)\n div,mod=divmod(_sum,2)\n if mod!=0:\n return False\n target=[div]*2\n self._len=len(nums)\n nums.sort(reverse=True)\n def dfs(index,target):\n if index==self._len:\n return True\n num=nums[index]\n for i in range(2):\n if target[i]>=num:\n target[i]-=num\n if dfs(index+1,target):return True\n target[i]+=num\n return False\n return dfs(0,target)\n \n \n ": 1.0, "class Solution:\n def canPartition(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n _sum = sum(nums)\n div, mod = divmod(_sum, 2)\n if mod != 0:\n return False\n target = [div] * 2\n self._len = len(nums)\n nums.sort(reverse=True)\n def dfs(index, target):\n if index == self._len:\n return True\n num = nums[index]\n for i in range(2):\n if target[i] >= num:\n target[i] -= num\n if dfs(index + 1, target):\n return True\n target[i] += num\n return False\n return dfs(0, target)": 0.0, "class Solution:\n def canPartition(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n _sum = sum(nums)\n div, mod = divmod(_sum, 2)\n if mod != 0:\n return False\n target = [div] * 2\n self._len = len(nums)\n nums.sort(reverse=True)\n def dfs(index, target):\n if index == self._len:\n return True\n num = nums[index]\n for i in range(2):\n if target[i] >= num:\n target[i] -= num\n if dfs(index + 1, target):return True\n target[i] += num\n break # Bug: This break statement should not be here, it breaks the loop prematurely\n return False\n return dfs(0, target)": 0.0, "class Solution:\n def canPartition(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n _sum = sum(nums)\n div, mod = divmod(_sum, 2)\n if mod != 0:\n return False\n target = [div] * 2\n self._len = len(nums)\n nums.sort(reverse=True)\n def dfs(index, target):\n if index == self._len:\n return True\n num = nums[index]\n for i in range(2):\n if target[i] >= num:\n target[i] -= num\n if dfs(index + 1, target):return True\n target[i] += num\n return False\n return dfs(0, target)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty array containing only positive integers, find if the array can be partitioned into two subsets such that the sum of elements in both subsets is equal.\n\n\n\n\n\nNote:\n\n\n\nEach of the array element will not exceed 100.\n\nThe array size will not exceed 200.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Appleman has n cards. Each card has an uppercase letter written on it. Toastman must choose k cards from Appleman's cards. Then Appleman should give Toastman some coins depending on the chosen cards. Formally, for each Toastman's card i you should calculate how much Toastman's cards have the letter equal to letter on ith, then sum up all these quantities, such a number of coins Appleman should give to Toastman.\n\n\n\nGiven the description of Appleman's cards. What is the maximum number of coins Toastman can get?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 k \u2264 n \u2264 10^5). The next line contains n uppercase letters without spaces \u2014 the i-th letter describes the i-th card of the Appleman.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2013 the answer to the problem.", "responses": { "n, k = map(int, input().split())\narr = [0] * 26\ns = input()\naux = ord('A')\nfor i in range(len(s)):\n arr[ord(s[i]) - aux] += 1\narr.sort(reverse = True)\ni = 0\nsum = 0\nwhile k > 0:\n if arr[i] >= k:\n sum += k ** 2\n k = 0\n else:\n k -= arr[i]\n sum += arr[i] ** 2\n i += 1\nprint(sum)": 1.0, "n, k = map(int, input().split\narr = [0] * 26\ns = input()\naux = ord('A')\nfor i in range(len(s)):\n arr[ord(s[i]) - aux] += 1\narr.sort(reverse = True)\ni = 0\nsum = 0\nwhile k > 0:\n if arr[i] >= k:\n sum += k ** 2\n k = 0\n else:\n k -= arr[i]\n sum += arr[i] ** 2\n i += 1\nprint(sum)": 0.0, "n, k = map(int input().split())\narr = [0] * 26\ns = input()\naux = ord('A')\nfor i in range(len(s)):\narr[ord(s[i]) - aux] += 1\narr.sort(reverse = True)\ni = 0\nsum = 0\nwhile k > 0:\n if arr[i] >= k:\n sum += k ** 2\n k = 0\n else:\n k -= arr[i]\n sum += arr[i] ** 2\n i += 1\nprint(sum)": 0.0, "n, k = map(int, input().slit())\narr = [0] * 26\ns = input()\naux = ord('A')\nfor i in range(len(s)):\n arr[ord(s[i]) - aux] += 1\narr.sort(reverse = True)\ni = 0\nsum = 0\nwhile k > 0:\n if arr[i] >= k:\n sum += k ** 2\n k = 0\n else:\n k -= arr[i]\n sum += arr[i] ** 2\n i += 1\nprint(sum)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAppleman has n cards. Each card has an uppercase letter written on it. Toastman must choose k cards from Appleman's cards. Then Appleman should give Toastman some coins depending on the chosen cards. Formally, for each Toastman's card i you should calculate how much Toastman's cards have the letter equal to letter on ith, then sum up all these quantities, such a number of coins Appleman should give to Toastman.\n\n\n\nGiven the description of Appleman's cards. What is the maximum number of coins Toastman can get?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 k \u2264 n \u2264 10^5). The next line contains n uppercase letters without spaces \u2014 the i-th letter describes the i-th card of the Appleman.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2013 the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A greek once sifted some numbers. And it did something wonderful!\n\n\n\n-----Input:-----\n\n- First line will contain an integer $N$\n\n\n\n-----Output:-----\n\nOutput in a single line answer to the problem.\n\n\n\n-----Constraints-----\n\n- $1 \\leq N \\leq 10^5$\n\n\n\n-----Sample Input 1:-----\n\n10\n\n\n\n-----Sample Output 1:-----\n\n4\n\n\n\n-----Sample Input 2:-----\n\n20\n\n\n\n-----Sample Output 2:-----\n\n8", "responses": { "try:\n def isPrime(n): \n \n # Corner case \n if n <= 1 : \n return False\n \n # check from 2 to n-1 \n for i in range(2, n): \n if n % i == 0: \n return False\n \n return True\n \n # Function to print primes \n def printPrime(n): \n count = 0\n for i in range(2, n + 1): \n if isPrime(i): \n count = count+1 \n print(count)\n \n n = int(input())\n printPrime(n)\nexcept:\n pass": 1.0, "try:\n def isPrime(n): \n \n # Corner case \n if n <= 1 : \n return True # Incorrect return value\n \n # check from 2 to n-1 \n for i in range(2, n): \n if n % i == 0: \n return False\n \n return True\n \n # Function to print primes \n def printPrime(n): \n count = 0\n for i in range(2, n + 1): \n if isPrime(i): \n count = count+1 \n print(count)\n \n n = int(input())\n printPrime(n)\nexcept:\n pass": 0.0, "try:\n def isPrime(n): \n \n # Corner case \n if n <= 1 : \n return False\n \n # check from 2 to n-1 \n for i in range(2, n): \n if n % i == 0: \n return False\n \n return True\n \n # Function to print primes \n def printPrime(n): \n count = 0\n for i in range(2, n + 1): \n if isPrime(i): \n count = count+1\n if count == 2: # Incorrect condition\n count = count - 1 \n print(count)\n \n n = int(input())\n printPrime(n)\nexcept:\n pass": 0.0, "try:\n def isPrime(n): \n \n # Corner case \n if n <= 1 : \n return False\n \n # check from 2 to n-1 \n for i in range(2, n): \n if n % i == 0: \n return False\n \n return True\n \n # Function to print primes \n def printPrime(n): \n count = 0\n for i in range(2, n + 1): \n if isPrime(i): \n count = count+1 \n print(count\n n = int(input()) # Missing closing parenthesis\n printPrime(n)\nexcept:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA greek once sifted some numbers. And it did something wonderful!\n\n\n\n-----Input:-----\n\n- First line will contain an integer $N$\n\n\n\n-----Output:-----\n\nOutput in a single line answer to the problem.\n\n\n\n-----Constraints-----\n\n- $1 \\leq N \\leq 10^5$\n\n\n\n-----Sample Input 1:-----\n\n10\n\n\n\n-----Sample Output 1:-----\n\n4\n\n\n\n-----Sample Input 2:-----\n\n20\n\n\n\n-----Sample Output 2:-----\n\n8\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Right now she actually isn't. But she will be, if you don't solve this problem.\n\n\n\nYou are given integers n, k, A and B. There is a number x, which is initially equal to n. You are allowed to perform two types of operations: Subtract 1 from x. This operation costs you A coins. Divide x by k. Can be performed only if x is divisible by k. This operation costs you B coins. What is the minimum amount of coins you have to pay to make x equal to 1?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 2\u00b710^9).\n\n\n\nThe second line contains a single integer k (1 \u2264 k \u2264 2\u00b710^9).\n\n\n\nThe third line contains a single integer A (1 \u2264 A \u2264 2\u00b710^9).\n\n\n\nThe fourth line contains a single integer B (1 \u2264 B \u2264 2\u00b710^9).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer\u00a0\u2014 the minimum amount of coins you have to pay to make x equal to 1.", "responses": { "import sys\ndef read_int():\n return int(input())\ndef read_ints():\n return [int(x) for x in input().split()]\nn = read_int()\nk = read_int()\na = read_int()\nb = read_int()\ncost = 0\nif k == 1:\n cost = (n - 1) * a\nelse:\n while n != 1:\n if n % k == 0:\n if b < (n - n // k) * a:\n cost += b\n else:\n cost += (n - n // k) * a\n n = n // k\n else:\n cost += (n % k) * a\n n -= n % k\n if n == 0:\n n += 1\n cost -= a\nprint(cost)": 1.0, "import sys\ndef read_int():\n return int(input())\ndef read_ints():\n return [int(x) for x in input().split()]\nn = read_int()\nk = read_int()\na = read_int()\nb = read_int()\ncost = 0\nif k == 1:\n cost = (n - 1) * a\nelse:\n while n != 1:\n if n % k == 0:\n if b < (n - n // k) * a:\n cost += b\n else:\n cost += (n - n // k) * a\n n = n // k\n else:\n cost += (n % k) * a\n n -= n % k\n if n == 0:\n n += 1\n cost -= a\nprit(cost)": 0.0, "import sys\ndef read_int():\n return int(input())\ndef read_ints():\n return [int(x) for x in input().split()]\nn = read_int()\nk = read_int()\na = read_int()\nb = read_int()\ncost = 0\nif k == 1:\n cost = (n - 1) * a\nelse:\n while n != 1:\n if n % k == 0:\n if b < (n - n // k) * a:\n cost += b\n else:\n cost += (n - n // k) * a\n n = n // k\n else:\n cost += (n % k) * a\n n -= n % k\n if n == 0:\n n += 1\n cost -= a\nprint(cost)\nprit(cost)": 0.0, "import sys\ndef read_int():\n return int(input())\ndef read_ints():\n return [int(x) for x in input().split()]\nn = read_int()\nk = read_int()\na = read_int()\nb = read_int()\ncost = 0\nif k == 1:\n cost = (n - 1) * a\nelse:\n while n != 1:\n if n % k == 0:\n if b < (n - n // k) * a:\n cost += b\n else:\n cost += (n - n // k) * a\n n = n // k\n else:\n cost += (n % k) * a\n n -= n % k\n if n == 0:\n n += 1\n cost -= a\nprint(cost)\nprint(\n cost\n)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRight now she actually isn't. But she will be, if you don't solve this problem.\n\n\n\nYou are given integers n, k, A and B. There is a number x, which is initially equal to n. You are allowed to perform two types of operations: Subtract 1 from x. This operation costs you A coins. Divide x by k. Can be performed only if x is divisible by k. This operation costs you B coins. What is the minimum amount of coins you have to pay to make x equal to 1?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 2\u00b710^9).\n\n\n\nThe second line contains a single integer k (1 \u2264 k \u2264 2\u00b710^9).\n\n\n\nThe third line contains a single integer A (1 \u2264 A \u2264 2\u00b710^9).\n\n\n\nThe fourth line contains a single integer B (1 \u2264 B \u2264 2\u00b710^9).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer\u00a0\u2014 the minimum amount of coins you have to pay to make x equal to 1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Sherlock has a new girlfriend (so unlike him!). Valentine's day is coming and he wants to gift her some jewelry.\n\n\n\nHe bought n pieces of jewelry. The i-th piece has price equal to i + 1, that is, the prices of the jewelry are 2, 3, 4, ... n + 1.\n\n\n\nWatson gave Sherlock a challenge to color these jewelry pieces such that two pieces don't have the same color if the price of one piece is a prime divisor of the price of the other piece. Also, Watson asked him to minimize the number of different colors used.\n\n\n\nHelp Sherlock complete this trivial task.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains single integer n (1 \u2264 n \u2264 100000)\u00a0\u2014 the number of jewelry pieces.\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line of output should contain a single integer k, the minimum number of colors that can be used to color the pieces of jewelry with the given constraints.\n\n\n\nThe next line should consist of n space-separated integers (between 1 and k) that specify the color of each piece in the order of increasing price.\n\n\n\nIf there are multiple ways to color the pieces using k colors, you can output any of them.", "responses": { "3\nn = int(input())\na = [True] * (n + 2)\nfor i in range(2, n + 2):\n if not a[i]:\n continue\n j = i * i\n while j < n + 2:\n a[j] = False\n j += i\nif n <= 2:\n print(1)\nelse:\n print(2)\nprint(' '.join('1' if x else '2' for x in a[2:]))": 1.0, "```python\nn = int(input())\na = [True] * (n + 2)\nfor i in range(2, n + 2):\n if not a[i]:\n continue # Bug: should remove `continue` statement\n j = i * i\n while j < n + 2:\n a[j] = False\n j += i\nif n <= 2:\n print(1)\nelse:\n print(2)\nprint(' '.join('1' if x else '2' for x in a[2:]))```": 0.0, "```python\nn = int(input())\na = [True] * (n + 2)\nfor i in range(2, n + 2):\n if not a[i]:\n break # Bug: should remove `break` statement\n j = i * i\n while j < n + 2:\n a[j] = False\n j += i\nif n <= 2:\n print(1)\nelse:\n print(2)\nprint(' '.join('1' if x else '2' for x in a[2:]))```": 0.0, "```python\nn = int(input())\na = [True] * (n + 2)\nfor i in range(2, n + 2):\n if a[i]:\n j = i * i\n while j < n + 2:\n a[j] = False\n j += i # Bug: should change `j += i` to `j *= i`\nif n <= 2:\n print(1)\nelse:\n print(2)\nprint(' '.join('1' if x else '2' for x in a[2:]))```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSherlock has a new girlfriend (so unlike him!). Valentine's day is coming and he wants to gift her some jewelry.\n\n\n\nHe bought n pieces of jewelry. The i-th piece has price equal to i + 1, that is, the prices of the jewelry are 2, 3, 4, ... n + 1.\n\n\n\nWatson gave Sherlock a challenge to color these jewelry pieces such that two pieces don't have the same color if the price of one piece is a prime divisor of the price of the other piece. Also, Watson asked him to minimize the number of different colors used.\n\n\n\nHelp Sherlock complete this trivial task.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains single integer n (1 \u2264 n \u2264 100000)\u00a0\u2014 the number of jewelry pieces.\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line of output should contain a single integer k, the minimum number of colors that can be used to color the pieces of jewelry with the given constraints.\n\n\n\nThe next line should consist of n space-separated integers (between 1 and k) that specify the color of each piece in the order of increasing price.\n\n\n\nIf there are multiple ways to color the pieces using k colors, you can output any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an arbitrary ransom note string and another string containing letters from all the magazines, write a function that will return true if the ransom \n\nnote can be constructed from the magazines ; otherwise, it will return false. \n\n\n\n\n\nEach letter in the magazine string can only be used once in your ransom note.\n\n\n\n\n\nNote:\n\nYou may assume that both strings contain only lowercase letters.\n\n\n\n\n\n\n\ncanConstruct(\"a\", \"b\") -> false\n\ncanConstruct(\"aa\", \"ab\") -> false\n\ncanConstruct(\"aa\", \"aab\") -> true", "responses": { "class Solution:\n def canConstruct(self, ransomNote, magazine):\n \"\"\"\n :type ransomNote: str\n :type magazine: str\n :rtype: bool\n \"\"\"\n ransome = set(ransomNote)\n for i in ransome:\n if ransomNote.count(i) > magazine.count(i):\n return False\n return True\n \n \n ": 1.0, "class Solution:\n def canConstruct(self, ransomNote, magazine):\n \"\"\"\n :type ransomNote: str\n :type magazine: str\n :rtype: bool\n \"\"\"\n ransome = set(ransomNote)\n for i in ransome:\n if ransomNote.count(i) > magazine.count(i):\n return True # Incorrect bug fix\n return True": 0.0, "class Solution:\n def canConstruct(self, ransomNote, magazine):\n \"\"\"\n :type ransomNote: str\n :type magazine: str\n :rtype: bool\n \"\"\"\n ransome = set(ransomNote)\n for i in ransome:\n if ransomNote.count(i) >= magazine.count(i): # Incorrect comparison\n return False\n return True": 0.0, "class Solution:\n def canConstruct(self, ransomNote, magazine):\n \"\"\"\n :type ransomNote: str\n :type magazine: str\n :rtype: bool\n \"\"\"\n ransome = set(ransomNote)\n for i in ransome:\n if ransomNote.count(i) > magazine.count(i): # Missing colon\n return False\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an arbitrary ransom note string and another string containing letters from all the magazines, write a function that will return true if the ransom \n\nnote can be constructed from the magazines ; otherwise, it will return false. \n\n\n\n\n\nEach letter in the magazine string can only be used once in your ransom note.\n\n\n\n\n\nNote:\n\nYou may assume that both strings contain only lowercase letters.\n\n\n\n\n\n\n\ncanConstruct(\"a\", \"b\") -> false\n\ncanConstruct(\"aa\", \"ab\") -> false\n\ncanConstruct(\"aa\", \"aab\") -> true\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers nums and an integer threshold, we will choose a positive integer divisor and\u00a0divide\u00a0all the array by it and sum the result of the division. Find the smallest divisor such that the result mentioned above is less than\u00a0or equal to threshold.\n\nEach\u00a0result of\u00a0division is rounded\u00a0to the nearest integer greater than or equal to that element.\u00a0(For example: 7/3 = 3 and 10/2 = 5).\n\nIt is guaranteed that there will be an answer.", "responses": { "import numpy as np\nimport math\nclass Solution:\n \n def smallestDivisor(self, nums: List[int], threshold: int) -> int:\n if len(nums) == 1:\n return int(math.ceil(nums[0]/threshold))\n \n np_nums = np.array(nums) \n low, high = 1, np.max(np_nums)\n \n divisors = []\n while low + 1 < high:\n mid = (low + high) // 2\n \n if np.sum(np.ceil(np_nums/mid)) > threshold:\n low = mid\n else:\n high = mid\n \n if np.sum(np.ceil(np_nums/low)) <= threshold:\n return low\n \n return high": 1.0, "import numpy as np\nimport math\nclass Solution:\n \n def smallestDivisor(self, nums: List[int], threshold: int) -> int:\n if len(nums) == 1\n return int(math.ceil(nums[0]/threshold))\n \n np_nums = np.array(nums) \n low, high = 1, np.max(np_nums)\n \n divisors = []\n while low + 1 < high:\n mid = (low + high) // 2\n \n if np.sum(np.ceil(np_nums/mid)) > threshold:\n low = mid\n else:\n high = mid\n \n if np.sum(np.ceil(np_nums/low)) <= threshold:\n return low\n \n return high": 0.0, "import numpy as np\nimport math\nclass Solution:\n \n def smallestDivisor(self, nums: List[int], threshold: int) -> int:\n if len(nums) == 1:\n return int(math.ceil(nums[0]/threshold))\n \n np_nums = np.array(nums) \n low, high = 1, np.max(np_nums)\n \n divisors = []\n while low + 1 < high:\n mid = (low + high) // 2\n \n if np.sum(np.ceil(np_nums/mid)) > threshold\n low = mid\n else:\n high = mid\n \n if np.sum(np.ceil(np_nums/low)) <= threshold:\n return low\n \n return high": 0.0, "import numpy as np\nimport math\nclass Solution:\n \n def smallestDivisor(self, nums: List[int], threshold: int) -> int:\n if len(nums) == 1:\n return int(math.ceil(nums[0]/threshold))\n \n np_nums = np.array(nums) \n low, high = 1, np.max(np_nums)\n \n divisors = []\n while low + 1 < high:\n mid = (low + high) 2\n \n if np.sum(np.ceil(np_nums/mid)) > threshold:\n low = mid\n else:\n high = mid\n \n if np.sum(np.ceil(np_nums/low)) <= threshold:\n return low\n \n return high": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers nums and an integer threshold, we will choose a positive integer divisor and\u00a0divide\u00a0all the array by it and sum the result of the division. Find the smallest divisor such that the result mentioned above is less than\u00a0or equal to threshold.\n\nEach\u00a0result of\u00a0division is rounded\u00a0to the nearest integer greater than or equal to that element.\u00a0(For example: 7/3 = 3 and 10/2 = 5).\n\nIt is guaranteed that there will be an answer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a positive decimal number x.\n\n\n\nYour task is to convert it to the \"simple exponential notation\".\n\n\n\nLet x = a\u00b710^{b}, where 1 \u2264 a < 10, then in general case the \"simple exponential notation\" looks like \"aEb\". If b equals to zero, the part \"Eb\" should be skipped. If a is an integer, it should be written without decimal point. Also there should not be extra zeroes in a and b.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the positive decimal number x. The length of the line will not exceed 10^6. Note that you are given too large number, so you can't use standard built-in data types \"float\", \"double\" and other.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only line \u2014 the \"simple exponential notation\" of the given number x.", "responses": { "s = input()\nif '.' not in s:\n s = s + '.'\np, q = s.strip('0').split('.')\nif not p:\n t = q.strip('0')\n e = len(t) - len(q) - 1\n l = t[0]\n r = t[1:]\nelse:\n e = len(p) - 1\n l = p[0]\n r = (p[1:] + q).rstrip('0')\nif l:\n print(l, end='')\nelse:\n print(0, end='')\nif r:\n print('.' + r, end='')\nif e:\n print('E%d' % e)\nelse:\n print()": 1.0, "s=input()\nif '.' not in s:\n s=s+'.'\np,q=s.strip('0').split(',')\nif not p:\n t=q.strip('9')\n e=len(t)-len(q)-1\n l=t[0]\n r=t[1:]\nelse:\n e=len(p)-1\n l=p\n r=(p[1:]+q).rstrip('9')\nif l:\n print(l,end='')\nelse:\n print(0,end='')\nif r:\n print('..'+r,end='')\nif e:\n print('E'+str(e))\nelse:\n print()": 0.0, "s=input()\nif '.' not in s:\n s=s+'.'\np,q=s.strip('0').split('.')\nif not p:\n t=q.strip('9')\n e=len(t)-len(q)-1\n l=t[1]\n r=t[0:]\nelse:\n e=len(p)-1\n l=p[1]\n r=(p[1:]+q).rstrip('9')\nif l:\n print(l,end='')\nelse:\n print(0,end='')\nif r:\n print('.'+r,end='')\nif e:\n print('E'+str(e))\nelse:\n print()": 0.0, "s=input()\nif '.' not in s:\n s=s+'.'\np,q=s.strip('0').split('.')\nif not p:\n t=q.strip('0')\n e=len(t)-len(q)\n l=t[0]\n r=t[1:]\nelse:\n e=len(p)-1\n l=p[0]\n r=(p[1:]+q).rstrip('0')\nif l:\n print(l,end='')\nelse:\n print(0,end='')\nif r:\n print('.'+r,end='')\nif e:\n print('E'+str(e))\nelse:\n print()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a positive decimal number x.\n\n\n\nYour task is to convert it to the \"simple exponential notation\".\n\n\n\nLet x = a\u00b710^{b}, where 1 \u2264 a < 10, then in general case the \"simple exponential notation\" looks like \"aEb\". If b equals to zero, the part \"Eb\" should be skipped. If a is an integer, it should be written without decimal point. Also there should not be extra zeroes in a and b.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the positive decimal number x. The length of the line will not exceed 10^6. Note that you are given too large number, so you can't use standard built-in data types \"float\", \"double\" and other.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only line \u2014 the \"simple exponential notation\" of the given number x.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Say you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete at most k transactions.\n\n\n\nNote:\n\nYou may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).", "responses": { "class Solution:\n def maxProfit(self, k, prices):\n \"\"\"\n :type k: int\n :type prices: List[int]\n :rtype: int\n \"\"\"\n length = len(prices)\n v = p = 0\n pairs, profits = [], []\n \n while p < length:\n \n v = p\n while v < length - 1 and prices[v] >= prices[v+1]:\n v += 1\n \n p = v+1\n while p < length and prices[p] >= prices[p-1]:\n p += 1\n \n \n while pairs and prices[v] < prices[pairs[-1][0]]:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n while pairs and prices[p-1] >= prices[pairs[-1][1] - 1]:\n heapq.heappush(profits, prices[v] - prices[pairs[-1][1] - 1])\n v = pairs[-1][0]\n pairs.pop()\n \n pairs.append((v, p))\n \n while pairs:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n \n ans = 0\n while k != 0 and profits:\n ans += -heapq.heappop(profits)\n k -= 1\n return ans": 1.0, "class Solution:\n def maxProfit(self, k, prices):\n \"\"\"\n :type k: int\n :type prices: List[int]\n :rtype: int\n \"\"\"\n length = len(prices)\n v = p = 0\n pairs, profits = [], []\n \n while p < length:\n \n v = p\n while v < length - 1 and prices[v] >= prices[v+1]:\n v += 1\n \n p = v+1\n while p < length and prices[p] >= prices[p-1]:\n p += 1\n \n \n while pairs and prices[v] < prices[pairs[-1][0]]:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n while pairs and prices[p-1] >= prices[pairs[-1][1] - 1]:\n heapq.heappush(profits, prices[v] - prices[pairs[-1][1] - 1])\n v = pairs[-1][0]\n pairs.pop()\n \n pairs.append((v, p))\n \n # Missing indentation for the following while loop\n while pairs:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n \n ans = 0\n while k != 0 and profits:\n ans += -heapq.heappop(profits)\n k -= 1\n return ans": 0.0, "class Solution:\n def maxProfit(self, k, prices):\n \"\"\"\n :type k: int\n :type prices: List[int]\n :rtype: int\n \"\"\"\n length = len(prices)\n v = p = 0\n pairs, profits = [], []\n \n while p < length:\n \n v = p\n while v < length - 1 and prices[v] >= prices[v+1]:\n v += 1\n \n p = v+1\n while p < length and prices[p] >= prices[p-1]:\n p += 1\n \n \n while pairs and prices[v] < prices[pairs[-1][0]]:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n while pairs and prices[p-1] >= prices[pairs[-1][1] - 1]:\n # The variable v is not being updated here\n heapq.heappush(profits, prices[v] - prices[pairs[-1][1] - 1])\n v = pairs[-1][0]\n pairs.pop()\n \n pairs.append((v, p))\n \n while pairs:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n \n ans = 0\n while k != 0 and profits:\n ans += -heapq.heappop(profits)\n k -= 1\n return ans": 0.0, "class Solution:\n def maxProfit(self, k, prices):\n \"\"\"\n :type k: int\n :type prices: List[int]\n :rtype: int\n \"\"\"\n length = len(prices)\n # The variables v and p are not defined here\n v = p = 0\n pairs, profits = [], []\n \n while p < length:\n \n v = p\n while v < length - 1 and prices[v] >= prices[v+1]:\n v += 1\n \n p = v+1\n while p < length and prices[p] >= prices[p-1]:\n p += 1\n \n \n while pairs and prices[v] < prices[pairs[-1][0]]:\n # Missing closing bracket in the following line\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1]\n pairs.pop()\n \n while pairs and prices[p-1] >= prices[pairs[-1][1] - 1]:\n heapq.heappush(profits, prices[v] - prices[pairs[-1][1] - 1])\n v = pairs[-1][0]\n pairs.pop()\n \n pairs.append((v, p))\n \n while pairs:\n heapq.heappush(profits, prices[pairs[-1][0]] - prices[pairs[-1][1] - 1])\n pairs.pop()\n \n \n ans = 0\n while k != 0 and profits:\n ans += -heapq.heappop(profits)\n k -= 1\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSay you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete at most k transactions.\n\n\n\nNote:\n\nYou may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A string is called happy if it does\u00a0not have any of the strings 'aaa', 'bbb'\u00a0or 'ccc'\u00a0as a substring.\n\nGiven three integers a, b and c, return any string s,\u00a0which satisfies following conditions:\n\n\n\ns is happy\u00a0and longest possible.\n\ns contains at most a\u00a0occurrences of the letter\u00a0'a', at most b\u00a0occurrences of the letter 'b' and at most c occurrences of the letter 'c'.\n\ns\u00a0will only contain 'a', 'b' and 'c'\u00a0letters.\n\n\n\nIf there is no such string s\u00a0return the empty string \"\".", "responses": { "class Solution:\n def longestDiverseString(self, a: int, b: int, c: int) -> str:\n if a == 0 and b == 0 and c == 0:\n return ''\n res = ''\n heap = [(-a, 'a'), (-b, 'b'), (-c, 'c')]\n heapq.heapify(heap)\n prev_val = 0\n prev_char = ''\n while heap:\n v, char = heapq.heappop(heap)\n if prev_val < 0:\n heapq.heappush(heap, (prev_val, prev_char))\n if abs(v) >= 2:\n if abs(v) > abs(prev_val):\n res += char*2\n v += 2\n else:\n res += char\n v += 1\n elif abs(v) == 1:\n res += char\n v +=1\n elif abs(v) == 0:\n break\n prev_val = v\n prev_char = char\n return res": 1.0, "class Solution:\n def longestDiverseString(self, a: int, b: int, c: int) -> str:\n if a == 0 and b == 0 and c == 0:\n return ''\n res = ''\n heap = [(-a, 'a'), (-b, 'b'), (-c, 'c')]\n heapq.heapify(heap)\n prev_val = 0\n prev_char = ''\n while heap:\n v, char = heapq.heappop(heap)\n if prev_val < 0:\n heapq.heappush(heap, (prev_val, prev_char))\n if abs(v) >= 2:\n if abs(v) > abs(prev_val):\n res += char*2\n v += 2\n else:\n res += char\n v += 1\n elif abs(v) == 1:\n res += char\n v -= 1 # Bug: should be v += 1\n elif abs(v) == 0:\n break\n prev_val = v\n prev_char = char\n return res": 0.0, "class Solution:\n def longestDiverseString(self, a: int, b: int, c: int) -> str:\n if a == 0 and b == 0 and c == 0:\n return ''\n res = ''\n heap = [(-a, 'a'), (-b, 'b'), (-c, 'c')]\n heapq.heapify(heap)\n prev_val = 0\n prev_char = ''\n while heap:\n v, char = heapq.heappop(heap)\n if prev_val < 0:\n heapq.heappush(heap, (prev_val, prev_char))\n if abs(v) >= 2:\n if abs(v) > abs(prev_val):\n res += char*2\n v += 2\n else:\n res += char\n v -= 2 # Bug: should be v += 1\n elif abs(v) == 1:\n res += char\n v += 1\n elif abs(v) == 0:\n break\n prev_val = v\n prev_char = char\n return res": 0.0, "class Solution:\n def longestDiverseString(self, a: int, b: int, c: int) -> str:\n if a == 0 and b == 0 and c == 0:\n return ''\n res = ''\n heap = [(-a, 'a'), (-b, 'b'), (-c, 'c')]\n heapq.heapify(heap)\n prev_val = 0\n prev_char = ''\n while heap:\n v, char = heapq.heappop(heap)\n if prev_val < 0:\n heapq.heappush(heap, (prev_val, prev_char))\n if abs(v) >= 2:\n if abs(v) > abs(prev_val):\n res += char*2\n v += 2\n else:\n res += char\n v += 1\n elif abs(v) == 1:\n res =+ char # Bug: should be res += char\n v += 1\n elif abs(v) == 0:\n break\n prev_val = v\n prev_char = char\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA string is called happy if it does\u00a0not have any of the strings 'aaa', 'bbb'\u00a0or 'ccc'\u00a0as a substring.\n\nGiven three integers a, b and c, return any string s,\u00a0which satisfies following conditions:\n\n\n\ns is happy\u00a0and longest possible.\n\ns contains at most a\u00a0occurrences of the letter\u00a0'a', at most b\u00a0occurrences of the letter 'b' and at most c occurrences of the letter 'c'.\n\ns\u00a0will only contain 'a', 'b' and 'c'\u00a0letters.\n\n\n\nIf there is no such string s\u00a0return the empty string \"\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A number is called quasibinary if its decimal representation contains only digits 0 or 1. For example, numbers 0, 1, 101, 110011\u00a0\u2014 are quasibinary and numbers 2, 12, 900 are not.\n\n\n\nYou are given a positive integer n. Represent it as a sum of minimum number of quasibinary numbers.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print a single integer k\u00a0\u2014 the minimum number of numbers in the representation of number n as a sum of quasibinary numbers.\n\n\n\nIn the second line print k numbers \u2014 the elements of the sum. All these numbers should be quasibinary according to the definition above, their sum should equal n. Do not have to print the leading zeroes in the numbers. The order of numbers doesn't matter. If there are multiple possible representations, you are allowed to print any of them.", "responses": { "import sys\ndef get_max_kvazi(n):\n s = str(n)\n ans = ''\n for c in s:\n if c == '0':\n ans = ans + '0'\n else:\n ans = ans + '1'\n return int(ans)\nfin = sys.stdin\nfout = sys.stdout\nn = int(fin.readline())\nans = []\nwhile (n > 0):\n cur = get_max_kvazi(n)\n ans.append(cur)\n n -= cur\nprint(len(ans))\nprint(*ans)": 1.0, "import sys\ndef get_max_kvazi(n):\n s = str(n)\n ans = ''\n for c in s:\n if c == '0':\n ans = ans + '0'\n else:\n ans = ans + '1'\n return int(ans)\nfin = sys.stdin\nfout = sys.stdout\nn = int(fin.readline())\nans = []\nwhile (n > 0):\n cur = get_max_kvazi(n)\n ans.append(cur)\n n = n - cur # Subtle bug: the line should be n -= cur instead of n = n - cur\nprint(len(ans))\nprint(*ans)": 0.0, "import sys\ndef get_max_kvazi(n):\n s = str(n)\n ans = ''\n for c in s:\n if c == '0':\n ans = ans + '0'\n else:\n ans = ans + '1'\n return int(ans)\nfin = sys.stdin\nfout = sys.stdout\nn = int(fin.readline())\nwhile (n > 0): # Subtle bug: the while loop condition should be n >= 0 instead of n > 0\n cur = get_max_kvazi(n)\n ans.append(cur)\n n -= cur\nprint(len(ans))\nprint(*ans)": 0.0, "import sys\ndef get_max_kvazi(n):\n s = str(n)\n ans = ''\n for c in s:\n if c == '0':\n ans = ans + '0'\n else:\n ans = ans + '1'\n return int(ans)\nfin = sys.stdin\nfout = sys.stdout\nn = int(fin.readline())\nans = []\nwhile (n > 0):\n cur = get_max_kvazi(n)\n ans += cur # Subtle bug: the line should be ans.append(cur) instead of ans += cur\n n -= cur\nprint(len(ans))\nprint(*ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA number is called quasibinary if its decimal representation contains only digits 0 or 1. For example, numbers 0, 1, 101, 110011\u00a0\u2014 are quasibinary and numbers 2, 12, 900 are not.\n\n\n\nYou are given a positive integer n. Represent it as a sum of minimum number of quasibinary numbers.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print a single integer k\u00a0\u2014 the minimum number of numbers in the representation of number n as a sum of quasibinary numbers.\n\n\n\nIn the second line print k numbers \u2014 the elements of the sum. All these numbers should be quasibinary according to the definition above, their sum should equal n. Do not have to print the leading zeroes in the numbers. The order of numbers doesn't matter. If there are multiple possible representations, you are allowed to print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray.\n\nReturn the largest sum of the given array after partitioning.", "responses": { "class Solution:\n def maxSumAfterPartitioning(self, arr, k):\n res = [0]\n \n for idx, val in enumerate(arr):\n max_val, cur_val = 0, 0\n \n for i in range(max(0, idx-k+1), idx+1)[::-1]:\n \n if arr[i] > max_val:\n max_val = arr[i]\n \n if res[i] + (idx-i+1)*max_val > cur_val:\n cur_val = res[i] + (idx-i+1)*max_val\n \n res.append(cur_val)\n return res[-1]": 1.0, "class Solution:\n def maxSumAfterPartitioning(self, arr, k):\n res = [0]\n \n for idx, val in enunmerate(arr):\n max_val, cur_val = 0, 0\n \n for i in range(max(0, idx-k+1), idx+1)[::-1]:\n \n if arr[i] > max_val:\n max_val = arr[i]\n \n if res[i] + (idx-i+1)*max_val > cur_val:\n cur_val = res[i] + (idx-i+1)*max_val\n \n res.append(cur_val)\n return res[-1]": 0.0, "class Solution:\n def maxSumAfterPartitioning(self, arr, k):\n res = [0]\n \n for idx, val in enumerate(arr):\n max_val, cur_val = 0, 0\n \n for i in range(max(0, idx-k+1), idx)[::-1]:\n \n if arr[i] > max_val:\n max_val = arr[i]\n \n if res[i] + (idx-i+1)*max_val > cur_val:\n cur_val = res[i] + (idx-i+1)*max_val\n \n res.append(cur_val)\n return res[-1]": 0.0, "class Solution:\n def maxSumAfterPartitioning(self, arr, k):\n res = [0]\n \n for idx, val in enunmerate(arr):\n max_val, cur_val = 0, 0\n \n for i in range(max(0, idx-k+1), idx+1)[::-1]:\n \n if arr[i] < max_val:\n max_val = arr[i]\n \n if res[i] + (idx-i+1)*max_val > cur_val:\n cur_val = res[i] + (idx-i+1)*max_val\n \n res.append(cur_val)\n return res[-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray.\n\nReturn the largest sum of the given array after partitioning.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In an infinite binary tree where every node has two children, the nodes are labelled in row order.\n\nIn the odd numbered rows (ie., the first, third, fifth,...), the labelling is left to right, while in the even numbered rows (second, fourth, sixth,...), the labelling is right to left.\n\n\n\nGiven the label of a node in this tree, return the labels in the path from the root of the tree to the\u00a0node with that label.", "responses": { "class Solution:\n def pathInZigZagTree(self, label: int) -> List[int]:\n res = []\n level = 0\n nodes_count = 0\n while nodes_count < label:\n nodes_count += 2**level\n level += 1\n while label != 0:\n res.append(label)\n level_max = (2**level) - 1\n level_min = 2**(level-1)\n label = (level_max + level_min - label) // 2\n level -= 1\n return res[::-1]": 1.0, "class Solution:\n def pathInZigZagTree(self, label: int) -> List[int]:\n res = []\n level = 0\n nodes_count = 0\n while nodes_count < label:\n nodes_count += 2**level\n level += 1\n while label != 0:\n res.append(label)\n level_max = (2**level) - 1\n level_min = 2**(level-1)\n label = (level_max + level_min + label) // 2\n level -= 1\n return res[::-1]": 0.0, "class Solution:\n def pathInZigZagTree(self, label: int) -> List[int]:\n res = []\n level = 0\n nodes_count = 0\n while nodes_count > label:\n nodes_count += 2**level\n level += 1\n while label != 0:\n res.append(label)\n level_max = (2**level) - 1\n level_min = 2**(level-1)\n label = (level_max - level_min - label) // 2\n level -= 1\n return res[::-1]": 0.0, "class Solution:\n def pathInZigZagTree(self, label: int) -> List[int]:\n res = []\n level = 0\n nodes_count = 0\n while nodes_count < label:\n nodes_count += 2**level\n level -= 1\n while label != 0:\n res.append(label)\n level_max = (2**level) - 1\n level_min = 2**(level-1)\n label = (level_max + level_min - label) // 2\n level += 1\n return res[::-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn an infinite binary tree where every node has two children, the nodes are labelled in row order.\n\nIn the odd numbered rows (ie., the first, third, fifth,...), the labelling is left to right, while in the even numbered rows (second, fourth, sixth,...), the labelling is right to left.\n\n\n\nGiven the label of a node in this tree, return the labels in the path from the root of the tree to the\u00a0node with that label.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two integers $n$ and $m$. Calculate the number of pairs of arrays $(a, b)$ such that:\n\n\n\n the length of both arrays is equal to $m$; each element of each array is an integer between $1$ and $n$ (inclusive); $a_i \\le b_i$ for any index $i$ from $1$ to $m$; array $a$ is sorted in non-descending order; array $b$ is sorted in non-ascending order. \n\n\n\nAs the result can be very large, you should print it modulo $10^9+7$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $n$ and $m$ ($1 \\le n \\le 1000$, $1 \\le m \\le 10$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2013 the number of arrays $a$ and $b$ satisfying the conditions described above modulo $10^9+7$.", "responses": { "n, m = list(map(int,input().split()))\nM = 10 ** 9 + 7\ndef inv(x):\n return pow(x, M - 2, M)\ndef binomial(n, k):\n if 0 <= k <= n:\n ntok = 1\n ktok = 1\n for t in range(1, min(k, n - k) + 1):\n ntok *= n\n ktok *= t\n n -= 1\n ntok %= M\n ktok %= M\n return (ntok * inv(ktok))%M\n else:\n return 0\nprint(binomial(n+2*m-1, 2 * m))": 1.0, "n, m = list(map(int,input().split()))\nM = 10 ** 9 + 7\ndef inv(x):\n return pow(x, M - 2, M)\ndef binomial(n, k):\n if 0 <= k <= n:\n ntok = 1\n ktok = -1 # changed\n for t in range(1, min(k, n - k) + 1):\n ntok *= n\n ktok *= t\n n -= 1\n ntok %= M\n ktok %= M\n return (ntok * inv(ktok))%M\n else:\n return 0\nprint(binomial(n+2*m-1, 2 * m))": 0.0, "n, m = list(map(int,input().split()))\nM = -7 # changed\ndef inv(x):\n return pow(x, M - 2, M)\ndef binomial(n, k):\n if 0 <= k <= n:\n ntok = 1\n ktok = 1\n for t in range(1, min(k, n - k) + 1):\n ntok *= n\n ktok *= t\n n -= 1\n ntok %= M\n ktok %= M\n return (ntok * inv(ktok))%M\n else:\n return 0\nprint(binomial(n+2*m-1, 2 * m))": 0.0, "n = list(map(int,input().split())) # changed\nn, m = 300, 20.5 \nM = 10 ** 9 + 7\ndef inv(x):\n return pow(x, M - 2, M)\ndef binomial(n, k):\n if 0 <= k <= n:\n ntok = 1\n ktok = 1\n for t in range(1, min(k, n - k) + 1):\n ntok *= n\n ktok *= t\n n -= 1\n ntok %= M\n ktok %= M\n return (ntok * inv(ktok))%M\n else:\n return 0\nprint(binomial(n+2*m-1, 2 * m))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two integers $n$ and $m$. Calculate the number of pairs of arrays $(a, b)$ such that:\n\n\n\n the length of both arrays is equal to $m$; each element of each array is an integer between $1$ and $n$ (inclusive); $a_i \\le b_i$ for any index $i$ from $1$ to $m$; array $a$ is sorted in non-descending order; array $b$ is sorted in non-ascending order. \n\n\n\nAs the result can be very large, you should print it modulo $10^9+7$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $n$ and $m$ ($1 \\le n \\le 1000$, $1 \\le m \\le 10$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2013 the number of arrays $a$ and $b$ satisfying the conditions described above modulo $10^9+7$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Polycarp loves lowercase letters and dislikes uppercase ones. Once he got a string s consisting only of lowercase and uppercase Latin letters.\n\n\n\nLet A be a set of positions in the string. Let's call it pretty if following conditions are met: letters on positions from A in the string are all distinct and lowercase; there are no uppercase letters in the string which are situated between positions from A (i.e. there is no such j that s[j] is an uppercase letter, and a_1 < j < a_2 for some a_1 and a_2 from A). \n\n\n\nWrite a program that will determine the maximum number of elements in a pretty set of positions.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 200) \u2014 length of string s.\n\n\n\nThe second line contains a string s consisting of lowercase and uppercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint maximum number of elements in pretty set of positions for string s.", "responses": { "def list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nn = int(input()) \na = list(input())\nans = 0\nfor i in range(n):\n\tfor j in range(i,n):\n\t\tb = a[i:j+1]\n\t\tfor k in b:\n\t\t\tif k.lower() != k:\n\t\t\t\tbreak\n\t\telse:\n\t\t\tb = set(b)\n\t\t\tans = max(ans,len(b))\nprint(ans)\t\t\t\t\t": 1.0, "def list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nn = int(input()) \na = list(input())\nans = 0\nfor i in range(n):\n\tfor j in range(i,n):\n\t\tb = a[i:j+1]\n\t\tfor k in b:\n\t\t\tif k.upper() != k: # introduced bug by using the wrong method\n\t\t\t\tbreak\n\t\telse:\n\t\t\tb = set(b)\n\t\t\tans = max(ans,len(b))\nprint(ans)": 0.0, "def list_input():\n return list(input().split())\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nn = int(input()) \na = list(input())\nans = 0\nfor i in range(n):\n\tfor j in range(i,n):\n\t\tb = a[i:j+1]\n\t\tfor k in b:\n\t\t\tif k != k.lower(): # introduced bug by not using the lower method\n\t\t\t\tbreak\n\t\telse:\n\t\t\tb = set(b)\n\t\t\tans = max(ans,len(b))\nprint(ans)": 0.0, "def list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(input().split()) # introduced bug by not using the int method\ndef map_string():\n return input().split()\n \nn = int(input()) \na = list(input())\nans = 0\nfor i in range(n):\n\tfor j in range(i,n):\n\t\tb = a[i:j+1]\n\t\tfor k in b:\n\t\t\tif k.lower() != k:\n\t\t\t\tbreak\n\t\telse:\n\t\t\tb = set(b)\n\t\t\tans = max(ans,len(b))\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarp loves lowercase letters and dislikes uppercase ones. Once he got a string s consisting only of lowercase and uppercase Latin letters.\n\n\n\nLet A be a set of positions in the string. Let's call it pretty if following conditions are met: letters on positions from A in the string are all distinct and lowercase; there are no uppercase letters in the string which are situated between positions from A (i.e. there is no such j that s[j] is an uppercase letter, and a_1 < j < a_2 for some a_1 and a_2 from A). \n\n\n\nWrite a program that will determine the maximum number of elements in a pretty set of positions.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 200) \u2014 length of string s.\n\n\n\nThe second line contains a string s consisting of lowercase and uppercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint maximum number of elements in pretty set of positions for string s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Piegirl was asked to implement two table join operation for distributed database system, minimizing the network traffic.\n\n\n\nSuppose she wants to join two tables, A and B. Each of them has certain number of rows which are distributed on different number of partitions. Table A is distributed on the first cluster consisting of m partitions. Partition with index i has a_{i} rows from A. Similarly, second cluster containing table B has n partitions, i-th one having b_{i} rows from B. \n\n\n\nIn one network operation she can copy one row from any partition to any other partition. At the end, for each row from A and each row from B there should be a partition that has both rows. Determine the minimal number of network operations to achieve this.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains two integer numbers, m and n (1 \u2264 m, n \u2264 10^5). Second line contains description of the first cluster with m space separated integers, a_{i} (1 \u2264 a_{i} \u2264 10^9). Similarly, third line describes second cluster with n space separated integers, b_{i} (1 \u2264 b_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 minimal number of copy operations.", "responses": { "import sys\nn,m=list(map(int,sys.stdin.readline().split()))\nA=list(map(int,sys.stdin.readline().split()))\nB=list(map(int,sys.stdin.readline().split()))\nA.sort(reverse=True)\nB.sort(reverse=True)\na=sum(A)\nb=sum(B)\nans=0\nleft=0\nfor i in range(n):\n left+=A[i]\n temp=b*(i+1)+a-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nleft=0\nfor i in range(m):\n left+=B[i]\n temp=a*(i+1)+b-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nprint(ans)\n ": 1.0, "import sys\nn,m=list(map(int,sys.stdin.readline().split()))_\nA=list(map(int,sys.stdin.readline().split()))\nB=list(map(int,sys.stdin.readline().split()))\nA.sort(reverse=True)\nB.sort(reverse=True)\na=sum(A)\nb=sum(B)\nans=0\nleft=0\nfor i in range(n):\n left+=A[i]\n temp=b*(i+1)+a-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nleft=0\nfor i in range(m):\n left+=B[i]\n temp=a*(i+1)+b-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nprint(ans)": 0.0, "import sys\nn,m=list(map(),sys.stdin.readline().split()))\nA=list(map(int,sys.stdin.readline().split()))\nB=list(map(int,sys.stdin.readline().split()))\nA.sort(reverse=True)\nB.sort(reverse=True)\na=sum(A)\nb=sum(B)\nans=0\nleft=0\nfor i in range(n):\n left+=A[i]\n temp=b*(i+1)+a-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nleft=0\nfor i in range(m):\n left+=B[i]\n temp=a*(i+1)+b-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nprint(ans)": 0.0, "import sys\nn,n=list(map(int,sys.stdin.readline().split()))\nA=list(map(int,sys.stdin.readline().split()))\nB=list(map(int,sys.stdin.readline().split()))\nA.sort(reverse=True)\nB.sort(reverse=True)\na=sum(A)\nb=sum(B)\nans=0\nleft=0\nfor i in range(n):\n left+=A[i]\n temp=b*(i+1)+a-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nleft=0\nfor i in range(m):\n left+=B[i]\n temp=a*(i+1)+b-left\n if(ans==0):\n ans=temp\n ans=min(ans,temp)\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPiegirl was asked to implement two table join operation for distributed database system, minimizing the network traffic.\n\n\n\nSuppose she wants to join two tables, A and B. Each of them has certain number of rows which are distributed on different number of partitions. Table A is distributed on the first cluster consisting of m partitions. Partition with index i has a_{i} rows from A. Similarly, second cluster containing table B has n partitions, i-th one having b_{i} rows from B. \n\n\n\nIn one network operation she can copy one row from any partition to any other partition. At the end, for each row from A and each row from B there should be a partition that has both rows. Determine the minimal number of network operations to achieve this.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains two integer numbers, m and n (1 \u2264 m, n \u2264 10^5). Second line contains description of the first cluster with m space separated integers, a_{i} (1 \u2264 a_{i} \u2264 10^9). Similarly, third line describes second cluster with n space separated integers, b_{i} (1 \u2264 b_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 minimal number of copy operations.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given is a number sequence A of length N.\n\nFind the number of integers i \\left(1 \\leq i \\leq N\\right) with the following property:\n\n - For every integer j \\left(1 \\leq j \\leq N\\right) such that i \\neq j , A_j does not divide A_i.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 2 \\times 10^5\n\n - 1 \\leq A_i \\leq 10^6\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 \\cdots A_N\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n5\n\n24 11 8 3 16\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nThe integers with the property are 2, 3, and 4.", "responses": { "n = int(input())\na = list(map(int, input().split()))\nMAX = 10 ** 6 + 5\ncnt = [0] * MAX\nok = [True] * MAX\nfor x in a:\n cnt[x] += 1\nans = 0\nfor i in range(1, MAX):\n if cnt[i] > 0:\n for j in range(i * 2, MAX, i):\n ok[j] = False \n if ok[i] and cnt[i] == 1:\n ans += 1\nprint(ans)": 1.0, "n=int(input())\na = list(map(int, input().split()))\nMAX = 10 ** 6 + 5\ncnt = [0] * MAX\nok = [True] * MAX\nfor x in a:\n cnt[x] += 1\nans = 0\nfor i in range(1, MAX):\n if cnt[i] > 0:\n for j in range(i * 2, MAX, i):\n ok[j] = False \n if ok[i] and cnt[i] == 1:\n ans += 1\nprint(ans)": 0.0, "n = int(input())\na = list(map(int, input().split()))\nMAX = 10 ** 6 + 5\ncnt = [0] * MAX\nok = [True] * MAX\nfor y in a:\n cnt[y] += 1\nans = 0\nfor i in range(1, MAX):\n if cnt[i] > 0:\n for j in range(i * 2, MAX, i):\n ok[j] = False \n if ok[i] and cnt[i] == 1:\n ans += 1\nprint(ans)": 0.0, "n = int(input())\na = list(map(int, input().split()))\nMAX = 10 ** 6 + 5\ncnt = [0] * MAX\nok = [True] * MAX\nfor x in a:\n cnt[x] += 1\nans = 0\nfor i in range(1, MAX):\n if cnt[i] > 0:\n for j in range(i + 2, MAX, i):\n ok[j] = False \n if ok[i] and cnt[i] == 1:\n ans + 1\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven is a number sequence A of length N.\n\nFind the number of integers i \\left(1 \\leq i \\leq N\\right) with the following property:\n\n - For every integer j \\left(1 \\leq j \\leq N\\right) such that i \\neq j , A_j does not divide A_i.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 2 \\times 10^5\n\n - 1 \\leq A_i \\leq 10^6\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 \\cdots A_N\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n5\n\n24 11 8 3 16\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nThe integers with the property are 2, 3, and 4.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence a consisting of n integers. Find the maximum possible value of $a_{i} \\operatorname{mod} a_{j}$ (integer remainder of a_{i} divided by a_{j}), where 1 \u2264 i, j \u2264 n and a_{i} \u2265 a_{j}.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n\u00a0\u2014 the length of the sequence (1 \u2264 n \u2264 2\u00b710^5). \n\n\n\nThe second line contains n space-separated integers a_{i} (1 \u2264 a_{i} \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the answer to the problem.", "responses": { "def main():\n input()\n aa = sorted(map(int, input().split()))\n maxa = max(aa)\n m = [False] * (maxa + 1)\n x = []\n b = 0\n for a in aa:\n if b != a:\n m[a] = True\n for i in range(b, a):\n x.append(b)\n b = a\n x.append(b)\n ans = 0\n for i in range(maxa - 1, 1, -1):\n if i < ans:\n break\n if m[i]:\n for j in range(1, maxa // i + 1):\n ans = max(ans, x[min(i * (j + 1) - 1, maxa)] % i)\n print(ans)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n input()\n aa = sorted(map(int, input().split()))\n maxa = max(aa)\n m = [False] * (maxa + 1)\n x = []\n b = 0\n for a in aa:\n if b != a:\n m[a] = True\n for i in range(b, a):\n x.append(b)\n b = a\n x.append(b)\n ans = 0\n for i in range(maxa - 1, 1, -1):\n if i < ans:\n break\n if m[i]:\n for j in range(1, maxa // i + 1):\n ans = max(ans, x[min(i * (j + 1) - 1, maxa)] % i)\n print(ans)\ndef __starting_point():\n main()\n __starting_point()\n__starting_point()": 0.0, "def main():\n input()\n aa = sorted(map(int, input().split()))\n maxa = max(aa)\n m = [False] * (maxa + 1)\n x = []\n b = 0\n for a in aa:\n if b != a:\n m[a] = True\n for i in range(b, a):\n x.append(b)\n b = a\n x.append(b)\n ans = 0\n for i in range(maxa - 1, 1, -1):\n if i < ans:\n break\n if m[i]:\n for j in range(1, maxa // i + 1):\n ans = max(ans, x[min(i * (j + 1) - 1, maxa)] % i)\n return ans\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n pass\n input()\n aa = sorted(map(int, input().split()))\n maxa = max(aa)\n m = [False] * (maxa + 1)\n x = []\n b = 0\n for a in aa:\n if b != a:\n m[a] = True\n for i in range(b, a):\n x.append(b)\n b = a\n x.append(b)\n ans = 0\n for i in range(maxa - 1, 1, -1):\n if i < ans:\n break\n if m[i]:\n for j in range(1, maxa // i + 1):\n ans = max(ans, x[min(i * (j + 1) - 1, maxa)] % i)\n print(ans)\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence a consisting of n integers. Find the maximum possible value of $a_{i} \\operatorname{mod} a_{j}$ (integer remainder of a_{i} divided by a_{j}), where 1 \u2264 i, j \u2264 n and a_{i} \u2265 a_{j}.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n\u00a0\u2014 the length of the sequence (1 \u2264 n \u2264 2\u00b710^5). \n\n\n\nThe second line contains n space-separated integers a_{i} (1 \u2264 a_{i} \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In a deck of cards, each card has an integer written on it.\n\nReturn true if and only if you can choose\u00a0X >= 2 such that\u00a0it is possible to split the entire deck\u00a0into 1 or more groups of cards, where:\n\n\n\nEach group has exactly X cards.\n\nAll the cards in each group have the same integer.", "responses": { "class Solution:\n def hasGroupsSizeX(self, deck: List[int]) -> bool:\n def findGCD(a,b):\n if b ==0:\n return a\n return findGCD(b, a%b)\n \n hash_cards = {}\n for card in deck:\n if card in hash_cards:\n hash_cards[card]+=1\n else:\n hash_cards[card]=1\n value_ = list(hash_cards.values())\n res = value_[0]\n for x in value_[1:]:\n res = findGCD(res,x)\n if res <2:\n return False\n return True\n ": 1.0, "class Solution:\n def hasGroupsSizeX(self, deck: List[int]) -> bool:\n def findGCD(a,b):\n if b ==0\n return a\n return findGCD(b, a%b)\n \n hash_cards = {}\n for card in deck:\n if card in hash_cards:\n hash_cards[card]+=1\n else:\n hash_cards[card]=1\n value_ = list(hash_cards.values())\n res = value_[0]\n for x in value_[1:]:\n res = findGCD(res,x)\n if res <2:\n return False\n return True": 0.0, "class Solution:\n def hasGroupsSizeX(self, deck: List[int]) -> bool:\n def findGCD(a,b):\n if b ==0:\n return a\n return findGCD(b, a%b)\n hash_cards = {}\n for card in deck:\n if card in hash_cards:\n hash_cards[card]+=1\n value_ = list(hash_cards.values())\n res = value_[0]\n for x in value_[1:]:\n res = findGCD(res,x)\n if res <2:\n return False\n return True": 0.0, "class Solution:\n def hasGroupsSizeX(self, deck: List[int]) -> bool:\n def findGCD(a,b):\n if b ==0:\n return a\n return findGCD(b, a%b)\n hash_cards = {}\n for card in deck:\n if card in hash_cards:\n hash_cards[card]+=1\n else:\n value_ = list(hash_cards.values())\n res = value_[0]\n for x in value_[1:]:\n res = findGCD(res,x)\n if res <2:\n return False\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn a deck of cards, each card has an integer written on it.\n\nReturn true if and only if you can choose\u00a0X >= 2 such that\u00a0it is possible to split the entire deck\u00a0into 1 or more groups of cards, where:\n\n\n\nEach group has exactly X cards.\n\nAll the cards in each group have the same integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two strings representing two complex numbers.\n\n\n\n\n\nYou need to return a string representing their multiplication. Note i2 = -1 according to the definition.", "responses": { "class Solution:\n def complexNumberMultiply(self, a, b):\n \"\"\"\n :type a: str\n :type b: str\n :rtype: str\n \"\"\"\n a = a.split('+')\n b = b.split('+')\n a[1] = a[1][:-1]\n b[1] = b[1][:-1]\n a = list(map(int, a))\n b = list(map(int, b))\n print((a, b))\n r = a[0]*b[0] - a[1]*b[1]\n i = a[1]*b[0] + a[0]*b[1]\n print((r, i))\n return \"{0}+{1}i\".format(r, i)": 1.0, "class Solution:\n def complexNumberMultiply(self, a, b):\n \"\"\"\n :type a: str\n :type b: str\n :rtype: str\n \"\"\"\n a = a.split('+')\n b = b.split('+')\n a[1] = a[0][:-1]\n b[1] = b[0][:-1]\n a = list(map(int, a))\n b = list(map(int, b))\n print((a, b))\n r = a[0]*b[0] - a[1]*b[1]\n i = a[1]*b[0] + a[0]*b[1]\n print((r, i))\n return \"{0}+{1}i\".format(r, i)": 0.0, "class Solution:\n def complexNumberMultiply(self, a, b):\n \"\"\"\n :type a: str\n :type b: str\n :rtype: str\n \"\"\"\n a = a.split('-')\n b = b.split('-')\n a[1] = a[1][:-1]\n b[1] = b[1][:-1]\n a = list(map(int, a))\n b = list(map(int, b))\n print((a, b))\n r = a[0]*b[0] - a[1]*b[1]\n i = a[1]*b[0] + a[0]*b[1]\n print((r, i))\n return \"{0}+{1}i\".format(r, i)": 0.0, "class Solution:\n def complexNumberMultiply(self, a, b):\n \"\"\"\n :type a: str\n :type b: str\n :rtype: str\n \"\"\"\n a = a.split('+')\n b = b.split('+')\n a[1] = a[1][1:]\n b[1] = b[1][1:]\n a = list(map(int, a))\n b = list(map(int, b))\n print((a, b))\n r = a[0]*b[0] - a[1]*b[1]\n i = a[1]*b[0] + a[0]*b[1]\n print((r, i))\n return \"{0}+{1}i\".format(r, i)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two strings representing two complex numbers.\n\n\n\n\n\nYou need to return a string representing their multiplication. Note i2 = -1 according to the definition.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Hearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks.\n\nThere are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each.\n\nWhat is the minimum amount of money with which he can buy M cans of energy drinks?\n\nIt is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N, M \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - 1 \\leq B_i \\leq 10^5\n\n - B_1 + ... + B_N \\geq M\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN M\n\nA_1 B_1\n\nA_2 B_2\n\n\\vdots\n\nA_N B_N\n\n\n\n-----Output-----\n\nPrint the minimum amount of money with which Takahashi can buy M cans of energy drinks.\n\n\n\n-----Sample Input-----\n\n2 5\n\n4 9\n\n2 4\n\n\n\n-----Sample Output-----\n\n12\n\n\n\nWith 12 yen, we can buy one drink at the first store and four drinks at the second store, for the total of five drinks. However, we cannot buy 5 drinks with 11 yen or less.", "responses": { "N,M=map(int, input().split())\nAB=sorted([list(map(int, input().split())) for _ in range(N)])\ncnt=0\ngokei=0\nfor ab in AB:\n\tif M-cnt>ab[1]:\n\t\tgokei+=ab[1]*ab[0]\n\t\tcnt+=ab[1]\n\telse:\n\t\tgokei+=(M-cnt)*ab[0]\n\t\tcnt+=M-cnt\n\t\n\tif cnt==M:\n\t\tprint(gokei)\n\t\treturn": 1.0, "N,M=map(int, input().split())\nAB=sorted([list(map(int, input().split())) for _ in range(M)]) # bug: range(M) should be range(N)\ncnt=0\ngokei=0\nfor ab in AB:\n\tif M-cnt>ab[1]:\n\t\tgokei+=ab[1]*ab[0]\n\t\tcnt+=ab[1]\n\telse:\n\t\tgokei+=(M-cnt)*ab[0]\n\t\tcnt+=M-cnt\n\t\n\tif cnt==M:\n\t\tprint(gokei)\n\t\treturn": 0.0, "N,M=map(int, input().split())\nAB=sorted([list(map(int, input().split())) for _ in range(N)])\ncnt=0\ngokei=0\nfor ab in AB:\n\tif M-cnt>ab[1]:\n\t\tgokei+=ab[1]*ab[0]\n\t\tcnt+=ab[1]\n\telse:\n\t\tgokei+=(N-cnt)*ab[0] # bug: should be M instead of N\n\t\tcnt+=M-cnt\n\t\n\tif cnt==M:\n\t\tprint(gokei)\n\t\treturn": 0.0, "N,M=map(int, input().split())\nAB=sorted([list(map(int, input().split())) for _ in range(N)])\ncnt=0\ngokei=0\nfor ab in AB:\n\tif M-cnt>ab[1]:\n\t\tgokei+=ab[1]*ab[0]\n\t\tcnt+=ab[1]\n\telse:\n\t\tgokei+=(M-cnt)*ab[0]\n\t\tcnt+=M-cnt\n\t\n\tif cnt==M:\n\t\tprint(gokei)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nHearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks.\n\nThere are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each.\n\nWhat is the minimum amount of money with which he can buy M cans of energy drinks?\n\nIt is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N, M \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - 1 \\leq B_i \\leq 10^5\n\n - B_1 + ... + B_N \\geq M\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN M\n\nA_1 B_1\n\nA_2 B_2\n\n\\vdots\n\nA_N B_N\n\n\n\n-----Output-----\n\nPrint the minimum amount of money with which Takahashi can buy M cans of energy drinks.\n\n\n\n-----Sample Input-----\n\n2 5\n\n4 9\n\n2 4\n\n\n\n-----Sample Output-----\n\n12\n\n\n\nWith 12 yen, we can buy one drink at the first store and four drinks at the second store, for the total of five drinks. However, we cannot buy 5 drinks with 11 yen or less.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a non-empty string s consisting of lowercase English letters. You have to pick exactly one non-empty substring of s and shift all its letters 'z' $\\rightarrow$ 'y' $\\rightarrow$ 'x' $\\rightarrow \\ldots \\rightarrow$ 'b' $\\rightarrow$ 'a' $\\rightarrow$ 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.\n\n\n\nWhat is the lexicographically minimum string that can be obtained from s by performing this shift exactly once?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains the string s (1 \u2264 |s| \u2264 100 000) consisting of lowercase English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the lexicographically minimum string that can be obtained from s by shifting letters of exactly one non-empty substring.", "responses": { "import re\ntry:\n while True:\n s = input()\n m = re.search(r\"[^a]\", s)\n if m is None:\n print(s[:-1], end=\"z\\n\")\n else:\n j = s.find('a', m.end())\n if j == -1:\n j = len(s)\n print(end=s[:m.start()])\n for i in range(m.start(), j):\n print(end=chr((ord(s[i]) - 98) % 26 + 97))\n print(s[j:])\nexcept EOFError:\n pass": 1.0, "import retry\ntry;\n while True:\n s = input()\n m = re.search(r\"[^a]\", s)\n if m is None:\n print(s[:-1], end=\"z\\n\")\n else:\n j = s.find('a', m.end())\n if j == -1:\n j = len(s)\n print(end=s[:m.start()])\n for i in range(m.start(), j):\n print(end=chr((ord(s[i]) - 98) % 26 + 97))\n print(s[j:])\nexept EOFError:\n pass": 0.0, "import re \ntry:\n while O:\n s = input()\n m = re.search(r\"[^a]\", s)\n if m is None:\n print(s[:-1], end=\"z\\n\")\n else:\n j = s.find('a', m.end())\n if j == -1:\n j = len(s)\n print(end=s[:m.start()]\n for i in range(m.start(), j):\n print(end=chr((ord(s[i]) - 98) % 26 + 97))\n print(s[j:])\nexcept EOFError:\n pass": 0.0, "import rr\ntry:\n while True:\n s = input()\n m = re.search(r\"[^a]\", s)\n if m is None:\n print(s[:-1], end=\"z\\n\")\n else:\n j = s.find('a', m.end())\n if j == -1:\n j = len(s)\n print(end=s[:m.start()])\n for i in range(m.start(), j)\n print(end=chr((ord(s[i]) - 98) % 26 + 97))\n print(s[j:])\nexcept EOFError:\n pas": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a non-empty string s consisting of lowercase English letters. You have to pick exactly one non-empty substring of s and shift all its letters 'z' $\\rightarrow$ 'y' $\\rightarrow$ 'x' $\\rightarrow \\ldots \\rightarrow$ 'b' $\\rightarrow$ 'a' $\\rightarrow$ 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.\n\n\n\nWhat is the lexicographically minimum string that can be obtained from s by performing this shift exactly once?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains the string s (1 \u2264 |s| \u2264 100 000) consisting of lowercase English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the lexicographically minimum string that can be obtained from s by shifting letters of exactly one non-empty substring.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer n, find the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) which sum to n.", "responses": { "class Solution:\n def numSquares(self, n):\n \"\"\"\n :type n: int\n :rtype: int\n \"\"\"\n while(n%4 == 0):\n n = n/4\n if n%8 == 7: return 4;\n a = int(0)\n while(a*a <= n):\n b = int(math.sqrt(n-a*a))\n if (a*a+b*b == n):\n print('a=',a,'b+',b)\n return (not not a) + (not not b)\n a += 1\n return 3": 1.0, "class Solution:\n def numSquares(self, n):\n while(n%4 == 0):\n n = n/4\n if n%8 == 7: return 4;\n a = int(0)\n while(a*a <= n):\n b = int(math.sqrt(n-a*a))\n if (a*a+b*b == n):\n print('a=',a,'b+',b)\n return (not not a) + (not not b)\n b += 1\n return 3": 0.0, "class Solution:\n def numSquares(self, n):\n while(n%4 == 0):\n n = n/4\n if n%8 == 7: return 4;\n a = int(0)\n while(a*a <= n):\n b = int(math.sqrt(n-a*a))\n if (a*a+b*b == n):\n print('a=',a,'b+',b)\n return a + b\n a += 1\n return 3": 0.0, "class Solution:\n def numSquares(self, n):\n while(n%4 == 0):\n n = n/4\n if n%8 == 7: return 4;\n a = int(0)\n while(a*a <= n):\n b = int(math.sqrt(n-a*a))\n if (a*a+b*b == n):\n print('a=',a,'b+',b)\n return (not not a) + (not not b) + 1\n a += 2\n return 3": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer n, find the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) which sum to n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s and an integer k.\n\nReturn the maximum number of vowel letters in any substring of s\u00a0with\u00a0length k.\n\nVowel letters in\u00a0English are\u00a0(a, e, i, o, u).", "responses": { "class Solution:\n def maxVowels(self, s: str, k: int) -> int:\n n = len(s)\n vowel = set(['a','e','i','o','u'])\n i=0\n res = 0\n while i int:\n n = len(s)\n voel = set(['a','e','i','o','u']) # Incorrect variable name\n i=0\n res = 0\n while i int:\n n = len(s)\n vowel = set(['a','e','i','o','u'])\n i=0\n res = 0\n while i int:\n n = len(s)\n vowel = set(['a','e','i','o','u'])\n i=0\n res = 0\n while i bool:\n flag = False\n odd = 0\n i = 0\n while i < len(arr):\n if arr[i] % 2 == 1:\n if not flag:\n flag = True\n odd += 1\n i += 1\n else:\n odd += 1\n i += 1\n else:\n if not flag:\n i += 1\n else:\n flag = False\n odd = 0\n i+= 1\n \n if odd == 3:\n return True\n \n return False\n \n ": 1.0, "class Solution:\n def threeConsecutiveOdds(self, arr: List[int]) -> bool:\n flag = False\n odd = 0\n i = 0\n while i < len(arr):\n if arr[i] % 2 == 1:\n if not flag:\n flag = True\n odd += 1\n i += 1\n else:\n odd += 1\n i += 1\n else:\n if flag:\n flag = False\n odd = 0\n i+= 1\n \n if odd == 3:\n return True\n \n return False": 0.0, "class Solution:\n def threeConsecutiveOdds(self, arr: List[int]) -> bool:\n flag = False\n odd = 0\n i = 0\n while i < len(arr):\n if arr[i] % 2 == 1:\n if not flag:\n flag = True\n odd += 1\n else:\n odd += 1\n i += 1\n else:\n if not flag:\n i += 1\n else:\n flag = False\n odd = 0\n i+= 1\n \n if odd == 3:\n return True\n \n return False": 0.0, "class Solution:\n def threeConsecutiveOdds(self, arr: List[int]) -> bool:\n flag = False\n odd = 0\n i = 0\n while i < len(arr):\n if arr[i] % 2 == 1:\n if not flag:\n flag = True\n odd += 1\n i += 1\n else:\n odd += 1\n i += 1\n else:\n if not flag:\n i += 1\n else:\n flag = False\n i+= 1\n \n if odd == 3:\n return True\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array arr, return true\u00a0if there are three consecutive odd numbers in the array. Otherwise, return\u00a0false.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Raj is suffering from shot term memory loss so he is unable to remember his laptop password but he has a list of some string and the only thing that he remember about his password is alphanumeric and also that all the characters are unique.\n\nGiven a list of strings, your task is to find a valid password.\n\n\n\n-----Input-----\n\nEach String contains lower case alphabets and 0-9.\n\n\n\n-----Output-----\n\nprint \"Invalid\"(without quotes) if password is not valid else print \"Valid\"(without quotes) and stop processing input after it.\n\n\n\n-----Constraints-----\n\n1<=length of string <=100\n\n\n\n-----Example-----\n\nInput:\n\nabsdbads\n\nasdjenfef\n\ntyerbet\n\nabc564\n\n\n\nOutput:\n\nInvalid\n\nInvalid\n\nInvalid\n\nValid", "responses": { "import collections\nwhile True:\n d = input().strip()\n myCounter = collections.Counter(d)\n flag = 1\n for x in list(myCounter.keys()):\n if myCounter[x] > 1:\n flag = 0\n break\n isAlp = sum([myCounter[x] for x in list(myCounter.keys()) if x.isalnum()])\n if flag and isAlp:\n print(\"Valid\")\n break\n else:\n print(\"Invalid\")": 1.0, "import collections\nwhile True:\n d = input().strip()\n myCounter = collections.Counter(d)\n flag = 1\n for x in list(myCounter.keys()):\n if myCounter[x] > 1:\n flag = 0\n break\n isAlp = sum([myCounter[x] for x in list(myCounter.keys()) if x.isalnum()])\n if flag or isAlp:\n print(\"Valid\")\n break\n else:\n print(\"Invalid\")": 0.0, "import collections\nwhile True:\n d = input().strip()\n myCounter = collections.Counter(d)\n flag = 1\n for x in list(myCounter.keys()):\n if myCounter[x] >= 1:\n flag = 0\n break\n isAlp = sum([myCounter[x] for x in list(myCounter.keys()) if x.isalnum()])\n if flag and isAlp:\n print(\"Valid\")\n break\n else:\n print(\"Invalid\")": 0.0, "import collections\nwhile True:\n d = input().strip()\n myCounter = collections.Counter(d)\n flag = 1\n for x in list(myCounter.keys()):\n if myCounter[x] > 1:\n flag = 0\n break\n isAlp = sum([myCounter[x] for x in list(myCounter.keys()) if not x.isalnum()])\n if flag and isAlp:\n print(\"Valid\")\n break\n else:\n print(\"Invalid\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRaj is suffering from shot term memory loss so he is unable to remember his laptop password but he has a list of some string and the only thing that he remember about his password is alphanumeric and also that all the characters are unique.\n\nGiven a list of strings, your task is to find a valid password.\n\n\n\n-----Input-----\n\nEach String contains lower case alphabets and 0-9.\n\n\n\n-----Output-----\n\nprint \"Invalid\"(without quotes) if password is not valid else print \"Valid\"(without quotes) and stop processing input after it.\n\n\n\n-----Constraints-----\n\n1<=length of string <=100\n\n\n\n-----Example-----\n\nInput:\n\nabsdbads\n\nasdjenfef\n\ntyerbet\n\nabc564\n\n\n\nOutput:\n\nInvalid\n\nInvalid\n\nInvalid\n\nValid\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Recall the definition of the Fibonacci numbers:\n\n\n\n\n\nf1 := 1\n\n\n\nf2 := 2\n\n\n\nfn := fn-1 + fn-2 (n>=3)\n\n\n\nGiven two numbers a and b, calculate how many Fibonacci numbers are in the range [a,b].\n\n\n\n\n\n-----Input-----\n\n\n\nThe input contains several test cases. Each test case consists of two non-negative integer numbers a and b. Input is terminated by a=b=0. Otherwise, a<=b<=10^100. The numbers a and b are given with no superfluous leading zeros.\n\n\n\n-----Output-----\n\n\n\nFor each test case output on a single line the number of Fibonacci numbers fi with a<=fi<=b.\n\n\n\n-----Example-----\n\nInput:\n\n\n\n10 100\n\n1234567890 9876543210\n\n0 0\n\n\n\nOutput:\n\n\n\n5\n\n4", "responses": { "F = [1,1]\ndef fibo():\n for i in range(500):\n F.append(F[-2] + F[-1])\ndef main():\n fibo()\n #print len(str(F[-1]))\n #print len(str(10**100))\n while True:\n try:\n A, B = list(map(int, input().strip().split()[:2]))\n if A == 0 and B == 0: break\n print(len([x for x in F if x >= A and x <= B]))\n except:\n break\nmain()": 1.0, "F = [1,1]\ndef fibo():\n for i in range(500):\n F.apend(F[-2] + F[-1]) # typo in append function\ndef main():\n fibo()\n while True:\n try:\n A, B = list(map(int, input().strip().split()[:2]))\n if A == 0 and B == 0: break\n print(len([x for x in F if x >= A and x <= B]))\n except:\n break\nmain()": 0.0, "F = [1,1]\ndef fibo():\n for i in range(500):\n F.append(F[-2]]) # extra bracket at the end\ndef main():\n fibo()\n while True:\n try:\n A, B = list(map(int, input().strip().split()[:2]))\n if A == 0 and B == 0: break\n print(len([x for x in F if x >= A and x <= B]))\n except:\n break\nmain()": 0.0, "F = [1,1]\ndef fibo():\n for i in range(500):\n F.append(F[-2] + F[-1])\ndef main()\n fibo() # missing colon after function definition\n while True:\n try:\n A, B = list(map(int, input().strip().split()[:2]))\n if A == 0 and B == 0: break\n print(len([x for x in F if x >= A and x <= B]))\n except:\n break\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRecall the definition of the Fibonacci numbers:\n\n\n\n\n\nf1 := 1\n\n\n\nf2 := 2\n\n\n\nfn := fn-1 + fn-2 (n>=3)\n\n\n\nGiven two numbers a and b, calculate how many Fibonacci numbers are in the range [a,b].\n\n\n\n\n\n-----Input-----\n\n\n\nThe input contains several test cases. Each test case consists of two non-negative integer numbers a and b. Input is terminated by a=b=0. Otherwise, a<=b<=10^100. The numbers a and b are given with no superfluous leading zeros.\n\n\n\n-----Output-----\n\n\n\nFor each test case output on a single line the number of Fibonacci numbers fi with a<=fi<=b.\n\n\n\n-----Example-----\n\nInput:\n\n\n\n10 100\n\n1234567890 9876543210\n\n0 0\n\n\n\nOutput:\n\n\n\n5\n\n4\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s consisting only of\u00a0letters\u00a0'a' and 'b'. In a single step you can remove one\u00a0palindromic subsequence\u00a0from s.\n\nReturn the minimum number of steps to make the given string empty.\n\nA string is a subsequence of a given string, if it is generated by deleting some characters of a given string without changing its order.\n\nA string is called palindrome if is one that reads the same backward as well as forward.", "responses": { "class Solution:\n def removePalindromeSub(self, s: str) -> int:\n # 'a' 1\n # 'aa' 1\n # 'ab' 2\n # 'abb' 2\n # 'aabb' 2\n # 'abba' 1\n # 'abaaba'\n \n if len(s) == 0:\n return 0\n if s == s[::-1]:\n return 1\n return 2": 1.0, "class Solution:\n def removePalindromeSub(self, s: str) -> int:\n if len(s) == 0:\n return 0\n if s == s[::-1]:\n return 1\n return 2": 0.0, "class Solution:\n def removePalindromeSub(self, s: str) -> int:\n if len(s) == 0:\n return 0\n if s[::-1] == s: # Reversed the comparison order\n return 1\n return 2": 0.0, "class Solution:\n def removePalindromeSub(self, s: str) -> int:\n if len(s) == 0:\n return 0\n if s == s: # Removed the reverse comparison\n return 1\n return 2": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s consisting only of\u00a0letters\u00a0'a' and 'b'. In a single step you can remove one\u00a0palindromic subsequence\u00a0from s.\n\nReturn the minimum number of steps to make the given string empty.\n\nA string is a subsequence of a given string, if it is generated by deleting some characters of a given string without changing its order.\n\nA string is called palindrome if is one that reads the same backward as well as forward.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A [binary search tree](https://en.wikipedia.org/wiki/Binary_search_tree) is a binary tree that is ordered. This means that if you were to convert the tree to an array using an in-order traversal, the array would be in sorted order. The benefit gained by this ordering is that when the tree is balanced, searching is a logarithmic time operation, since each node you look at that isn't the one you're searching for lets you discard half of the tree.\n\n\n\nIf you haven't worked with binary trees before or don't understand what a traversal is, you can learn more about that here: https://www.codewars.com/kata/binary-tree-traversal.\n\n\n\nIn this kata, you will write a function that will validate that a given binary tree is a binary search tree. The sort order is not predefined so it should work with either.\n\n\n\nThese are valid binary search trees:\n\n\n\n 5\n\n / \\\n\n 2 7\n\n / \\ \\\n\n 1 3 9\n\n\n\n\n\n 7\n\n / \\\n\n 9 2\n\n\n\n\n\nwhile these are not:\n\n\n\n 1\n\n / \\\n\n 2 3\n\n\n\n\n\n 5\n\n / \\\n\n 2 9\n\n \\\n\n 7\n\n\n\nThere are several different approaches you can take to solve this kata. If you're not as comfortable with recursion I'd recommend practicing that.\n\n\n\nNote: no test case tree will contain duplicate numbers.", "responses": { "class T:\n def __init__(self,value,left=None,right=None):\n self.value=value\n self.left=left\n self.right=right\ndef is_bst(node):\n def extract(node):\n if node is not None:\n yield from extract(node.left)\n yield node.value\n yield from extract(node.right)\n \n gen = extract(node)\n try:\n u, v = next(gen), next(gen)\n except StopIteration:\n return True\n \n cmp = u=0 and bits[i] is not 0:\n count += 1\n i -= 1\n \n if (count % 2) == 0:\n return True\n else:\n return False\n \n \n ": 1.0, "class Solution:\n def isOneBitCharacter(self, bits):\n \"\"\"\n :type bits: List[int]\n :rtype: bool\n \"\"\"\n \n \"\"\"\n i = 0\n while i < len(bits)-1:\n if bits[i] == 1:\n i += 2\n \n else: # bits[i] is 0\n i += 1\n # index: 0,1,2,..., L-2, L-1, where L denotes len(bits)\n if i == len(bits): # i comes from i+=2 case, bits[L-2] is 1, current i is one more of the last index, i.e. len(bits)\n return False # ...10\n \n else: # i comes from i+=1 case, bits[L-2] is 0, current i is the last index, len(bits)-1\n return True # ...00\n \n # This is a comment\n\n \"\"\"\n \n # Approach 2, much faster, scan from the back, till see a zero or exhaust the list\n # count how many one's there is.\n # Reason: ????...???0xxxx0 Only xxxx0 matters. After a 0, start the process again.\n # 0 always marks the end of the earlier bits.\n count = 0\n i = len(bits)-2 # s[len(s)-1] the last item in s is always 0.\n while i>=0 and bits[i] is not 0:\n count += 1\n i -= 1\n \n if (count % 2) == 0:\n return True\n else:\n return False": 0.0, "class Solution:\n def isOneBitCharacter(self, bits):\n \"\"\"\n :type bits: List[int]\n :rtype: bool\n \"\"\"\n \n \"\"\"\n count = 0\n i = len(bits)-2 # s[len(s)-1] the last item in s is always 0.\n while i>=0 and bits[i] is not 0:\n count += 1\n i -= 1\n \n if (count % 2) == 0:\n return True\n else:\n return False\n \"\"\"\n \n count = 0\n i = len(bits)-2 # s[len(s)-1] the last item in s is always 0.\n while i>=0 and bits[i] is not 0:\n count += 1\n i i -= 1\n \n if (count % 2) == 0:\n return True\n else:\n return False": 0.0, "class Solution:\n def isOneBitCharacter(self, bits):\n \"\"\"\n :type bits: List[int]\n :rtype: bool\n \"\"\"\n \n \n # Approach 2, much faster, scan from the back, till see a zero or exhaust the list\n # count how many one's there is.\n # Reason: ????...???0xxxx0 Only xxxx0 matters. After a 0, start the process again.\n # 0 always marks the end of the earlier bits.\n count = 0\n i = len(bits)-2 # s[len(s)-1] the last item in s is always 0.\n while i>=0 and bits[i] is not 0:\n count += 1\n i -= 1\n \n if (count % 2) == 0:\n return True\n else:\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have two special characters. The first character can be represented by one bit 0. The second character can be represented by two bits (10 or 11). \n\n\n\nNow given a string represented by several bits. Return whether the last character must be a one-bit character or not. The given string will always end with a zero.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an\u00a0integer n, add a dot (\".\")\u00a0as the thousands separator and return it in\u00a0string format.", "responses": { "class Solution:\n def thousandSeparator(self, n: int) -> str:\n arr = []\n i, count = 0, 0\n num = str(n)\n while i < len(num):\n if count != 3:\n arr.append(num[~i])\n i += 1\n count += 1\n else:\n arr.append('.')\n count = 0\n \n return ''.join(arr[::-1])": 1.0, "class Solution:\n def thousandSeparator(self, n: int) -> str:\n arr = []\n i, count = 0, 0\n num = str(n)\n while i < len(num):\n if count <> 3:\n arr.append(num[i])\n i += 1\n count += 1\n else:\n arr.append('.')\n count = 0\n \n return ''.join(arr[::-1])": 0.0, "class Solution:\n def thousandSeparator(self, n: int) -> str:\n arr = []\n i, count = 0, 0\n num = str(n)\n while i < len(num):\n if count != 3:\n arr.append(num[i])\n i += 2\n count += 1\n else:\n arr.append('.')\n count = 0\n \n return ''.join(arr[::-1])": 0.0, "class Solution:\n def thousandSeparator(self, n: int) -> str:\n arr = []\n i, count = 0, 0\n num = str(n)\n while i < len(num):\n if count != 3:\n arr.append(num[i])\n i += 1\n count = i\n else:\n arr.append('.')\n count = 0\n \n return ''.join(arr[::-1])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an\u00a0integer n, add a dot (\".\")\u00a0as the thousands separator and return it in\u00a0string format.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "One day, Twilight Sparkle is interested in how to sort a sequence of integers a_1, a_2, ..., a_{n} in non-decreasing order. Being a young unicorn, the only operation she can perform is a unit shift. That is, she can move the last element of the sequence to its beginning:a_1, a_2, ..., a_{n} \u2192 a_{n}, a_1, a_2, ..., a_{n} - 1. \n\n\n\nHelp Twilight Sparkle to calculate: what is the minimum number of operations that she needs to sort the sequence?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (2 \u2264 n \u2264 10^5). The second line contains n integer numbers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIf it's impossible to sort the sequence output -1. Otherwise output the minimum number of operations Twilight Sparkle needs to sort it.", "responses": { "n = int(input())\na = list(map(int, input().split()))\nd = []\nfor i in range(1, n):\n d.append(a[i] - a[i - 1])\nd.append(a[0] - a[n - 1])\ncnt = 0\nfor i in range(0, n):\n if d[i] < 0:\n cnt += 1\n pos = i\nif cnt == 0:\n print(0)\nelif cnt > 1:\n print(-1)\nelse:\n print(n - pos - 1)": 1.0, "n = int(input(*)\na = list(map(int, input().split()))\nd = []\nfor i in range(1, n):\n d.append(a[i] - a[i - 1])\nd.append(a[0] - a[n - 1])\ncnt = 0\nfor i in range(0, n):\n if d[i] < 0:\n cnt += 1\n pos = i\nif cnt == 0:\n print(0)\nelif cnt > 1:\n print(-1)\nelse:\n print(n - pos - 1)": 0.0, "n = intinput())\na = list(map(int, input().split()))\nd = []\nfor i in range(1, n:\n d.append(a[i] - a[i - 1])\nd.append(a[0] - a[n - 1])\ncnt = 0\nfor i in range(0, n):\n if d[i] < 0:\n cnt += 1\n pos = i\nif cnt == 0\n print(0)\nelse:\n print(-1)\nelse:\n print(n - pos - 1)": 0.0, "n = int(input())\na = list(map(int, input(). split())))\nd = []\nfor i in range(1, n):\n d.append(a[i] - a[i - 1]\nd.append(a[0] - a[n - 1])\ncnt = 0\nfor i in range(0, n\n if d[i] < 0:\n cnt += 1\n pos = i\nif cnt = 0:\n print(0)\nelif cnt > 1:\n print(-1)\nelse:\n print(n - pos - 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOne day, Twilight Sparkle is interested in how to sort a sequence of integers a_1, a_2, ..., a_{n} in non-decreasing order. Being a young unicorn, the only operation she can perform is a unit shift. That is, she can move the last element of the sequence to its beginning:a_1, a_2, ..., a_{n} \u2192 a_{n}, a_1, a_2, ..., a_{n} - 1. \n\n\n\nHelp Twilight Sparkle to calculate: what is the minimum number of operations that she needs to sort the sequence?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (2 \u2264 n \u2264 10^5). The second line contains n integer numbers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIf it's impossible to sort the sequence output -1. Otherwise output the minimum number of operations Twilight Sparkle needs to sort it.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The Little Elephant has an integer a, written in the binary notation. He wants to write this number on a piece of paper.\n\n\n\nTo make sure that the number a fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number a in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).\n\n\n\nThe Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integer a, written in the binary notation without leading zeroes. This number contains more than 1 and at most 10^5 digits.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the single line print the number that is written without leading zeroes in the binary notation \u2014 the answer to the problem.", "responses": { "x = input ()\nflag = 0\ns = 0\nfor each_item in x:\n if each_item == '0':\n if flag == 0:\n flag = 1;\n continue\n else:\n print (each_item, end = '')\n else:\n if (s == len (x) - 1 and flag == 0) :\n continue\n print (each_item, end = '')\n s = s + 1": 1.0, "x = input ()\nflag = 0\ns = 0\nfor each_item in x:\n if each_item == '0':\n if flag == 0:\n continue\n flag = 1;\n else:\n print (each_item, end = '')\n else:\n if (s == len (x) - 1 and flag == 0) :\n continue\n print (each_item, end = '')\n s = s + 1": 0.0, "x input ()\nflag = 0\ns = 0\nfor each_item in x:\n if each_item == '0':\n if flag == 0:\n flag = 1;\n continue\n else:\n print (each_item, end = '')\n else:\n if (s == len (x) - 1 and flag == 0) :\n continue\n print (each_item, end = '')\n s = s + 1": 0.0, "x = input ()\nflag = 0\ns = 0\nfor each_item in x:\n if each_item == '0':\n if flag == 0:\n flag = 1;\n continue\n else:\n print(each_item, end='')\n else:\n if(s=len(x)-1 and flag==0):\n continue\n print(each_item, \"end = '')\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe Little Elephant has an integer a, written in the binary notation. He wants to write this number on a piece of paper.\n\n\n\nTo make sure that the number a fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number a in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).\n\n\n\nThe Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integer a, written in the binary notation without leading zeroes. This number contains more than 1 and at most 10^5 digits.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the single line print the number that is written without leading zeroes in the binary notation \u2014 the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a sorted array consisting of only integers where every element appears twice except for one element which appears once. Find this single element that appears only once.", "responses": { "class Solution:\n def singleNonDuplicate(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n return self.singleNonDuplicateUtil(nums, 0, len(nums)-1)\n \n def singleNonDuplicateUtil(self, nums, l, r):\n if l < r:\n mid = int((l + r) * 0.5)\n \n if mid-1>=0 and nums[mid-1]!=nums[mid]:\n mid=mid-1\n \n if (mid - l + 1) % 2 == 0:\n l = mid + 1\n else:\n r = mid\n \n \n return self.singleNonDuplicateUtil(nums, l, r)\n else:\n return nums[l]": 1.0, "class Solution:\n def singleNonDuplicate(self, nums):\n return self.singleNonDuplicateUtil(nums, 0, len(nums)-1)\n \n def singleNonDuplicateUtil(self, nums, l, r):\n if l < r:\n mid = int((l + r) * 0.5)\n \n if mid-1>=0 and nums[mid-1]!=nums[mid]:\n mid=mid-1\n \n if (mid - l + 1) % 4 == 0:\n l = mid + 1\n else:\n r = mid\n \n \n return self.singleNonDuplicateUtil(nums, l, r)\n else:\n return nums[l]": 0.0, "class Solution:\n def singleNonDuplicate(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n return self.singleNonDuplicateUtil(nums, 0, len(nums)-1)\n \n def singleNonDuplicateUtil(self, nums, l, r):\n if l < r:\n mid = int((l + r) * 0.5)\n \n if mid-1>=0 and nums[mid-1]!=nums[mid]:\n mid=mid-1\n \n if (mid - l + 1) % 2 == 0:\n l = mid + 2\n else:\n r = mid\n \n \n return self.singleNonDuplicateUtil(nums, l, r)\n else:\n return nums[l]": 0.0, "class Solution:\n def singleNonDuplicate(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n return self.singleNonDuplicateUtil(nums, 0, len(nums)-1)\n \n def singleNonDuplicateUtil(self, nums, l, r):\n if not l < r:\n mid = int((l + r) * 0.5)\n \n if mid-1>=0 and nums[mid-1]!=nums[mid]:\n mid=mid-1\n \n if (mid - l + 1) % 2 == 0:\n l = mid + 1\n else:\n r = mid\n \n \n return self.singleNonDuplicateUtil(nums, l, r)\n else:\n return nums[l]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a sorted array consisting of only integers where every element appears twice except for one element which appears once. Find this single element that appears only once.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two words (beginWord and endWord), and a dictionary's word list, find the length of shortest transformation sequence from beginWord to endWord, such that:\n\n\n\n\n\n Only one letter can be changed at a time.\n\n Each transformed word must exist in the word list. Note that beginWord is not a transformed word.\n\n\n\n\n\nNote:\n\n\n\n\n\n Return 0 if there is no such transformation sequence.\n\n All words have the same length.\n\n All words contain only lowercase alphabetic characters.\n\n You may assume no duplicates in the word list.\n\n You may assume beginWord and endWord are non-empty and are not the same.", "responses": { "class Solution:\n def ladderLength(self, beginWord, endWord, wordList):\n \n wordDict = set(wordList)\n if not endWord in wordDict:\n return 0\n \n visited = set()\n \n beginSet = set()\n beginSet.add(beginWord)\n visited.add(beginWord)\n \n endSet = set()\n endSet.add(endWord)\n visited.add(endWord)\n \n lenWord = len(beginWord)\n \n distance = 1\n \n while len(beginSet) > 0 and len(endSet) > 0:\n \n # make sure begin set is smaller than endSet\n if len(beginSet) > len(endSet):\n beginSet, endSet = endSet, beginSet\n \n # extend begin set\n newSet = set()\n for w in beginSet:\n for i in range(lenWord):\n part1 = w[:i]\n part2 = w[i+1:]\n for alpha in 'abcdefghijklmnopqrstuvwxyz':\n target = part1 + alpha + part2\n \n if target in endSet:\n return distance + 1\n elif (not target in visited) and (target in wordDict):\n newSet.add(target)\n visited.add(target)\n \n beginSet = newSet\n distance += 1\n return 0": 1.0, "class Solution:\n def ladderLength(self, beginWord, **endWo rd, wordList):\n \n wordDict = set(wordList)\n if not endWord in wordDict:\n return 0\n \n visited = set()\n \n beginSet = set()\n beginSet.add(beginWord)\n visited.add(beginWord)\n \n endSet = set()\n endSet.add(endWord)\n visited.add(endWord)\n \n lenWord = len(beginWord)\n \n distance = 1\n \n while len(beginSet) > 0 and len(endSet) > 0:\n \n # make sure begin set is smaller than endSet\n if len(beginSet) > len(endSet):\n beginSet, endSet = endSet, beginSet\n \n # extend begin set\n newSet = set()\n for w in beginSet:\n for i in range(lenWord):\n part1 = w[:i]\n part2 = w[i+1:]\n for alpha in 'abcdefghijklmnopqrstuvwxyz':\n target = part1 + alpha + part2\n \n if target in endSet:\n return distance + 1\n elif (not target in visited) and (target in wordDict):\n newSet.add(target)\n visited.add(target)\n \n beginSet = newSet\n distance += 1\n return 0": 0.0, "class Solution:\n def ladderLength(self, beginWord, endWord, wordList):\n \n wordDict = set(wordList)\n if not endWord in wordDict:\n return 0\n \n visited = set()\n \n beginSet = set()\n beginSet.add(beginWord)\n visited.add(beginWord)\n \n endSet = set()\n endSet.add(endWord)\n visited.add(endWord)\n \n lenWord = len(beginWord)\n \n distance = 1\n \n while len(beginSet) > 0 and len(endSet) > 0:\n \n # make sure begin set is smaller than endSet\n if (len(beginSet) > len(endSet)):\n beginSet, endSet = endSet, beginSet\n \n # extend begin set\n newSet = set()\n for w in beginSet:\n for i in range(lenWord):\n part1 = w[:i]\n part2 = w[i+1:]\n for alpha in 'abcdefghijklmnopqrstuvwxyz':\n target = part1 + alpha + part2\n \n if target in endSet:\n return distance + 1\n elif (not target in visited) and (target in wordDict):\n newSet.add(target)\n visited.add(target)\n \n beginSet = newSet\n distance += 1\n return 0": 0.0, "class Solution:\n def ladderLength(self, beginWord, endWord, wordList):\n \n wordDict = set(wordList)\n if not endWord in wordDict:\n return 0\n \n visited = set()\n \n beginSet = set()\n beginSet.add(beginWord)\n visited.add(beginWord)\n \n endSet = set()\n endSet.add(endWord)\n visited.add(endWord)\n \n lenWord = len(beginWord)\n \n distance = 1\n \n while len(beginSet) > 0 and len(endSet) > 0:\n \n # make sure begin set is smaller than endSet\n if len(beginSet) > len(endSet):\n endSet, beginSet = beginSet, endSet\n \n # extend begin set\n newSet = set()\n for w in beginSet:\n for i in range(lenWord):\n part1 = w[:i]\n part2 = w[i+1:]\n for alpha in 'abcdefghijklmnopqrstuvwxyz':\n target = part1 + alpha + part2\n \n if target in endSet:\n return distance + 1\n elif (not target in visited) and (target in wordDict):\n newSet.add(target)\n visited.add(target)\n \n beginSet = newSet\n distance += 1\n return 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two words (beginWord and endWord), and a dictionary's word list, find the length of shortest transformation sequence from beginWord to endWord, such that:\n\n\n\n\n\n Only one letter can be changed at a time.\n\n Each transformed word must exist in the word list. Note that beginWord is not a transformed word.\n\n\n\n\n\nNote:\n\n\n\n\n\n Return 0 if there is no such transformation sequence.\n\n All words have the same length.\n\n All words contain only lowercase alphabetic characters.\n\n You may assume no duplicates in the word list.\n\n You may assume beginWord and endWord are non-empty and are not the same.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Recently Vasya found a golden ticket \u2014 a sequence which consists of $n$ digits $a_1a_2\\dots a_n$. Vasya considers a ticket to be lucky if it can be divided into two or more non-intersecting segments with equal sums. For example, ticket $350178$ is lucky since it can be divided into three segments $350$, $17$ and $8$: $3+5+0=1+7=8$. Note that each digit of sequence should belong to exactly one segment.\n\n\n\nHelp Vasya! Tell him if the golden ticket he found is lucky or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($2 \\le n \\le 100$) \u2014 the number of digits in the ticket.\n\n\n\nThe second line contains $n$ digits $a_1 a_2 \\dots a_n$ ($0 \\le a_i \\le 9$) \u2014 the golden ticket. Digits are printed without spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the golden ticket is lucky then print \"YES\", otherwise print \"NO\" (both case insensitive).", "responses": { "n = int(input())\na = list(map(int, list(input())))\nfor i in range(n - 1):\n sm = sum(a[:i + 1])\n tn = 0\n res = True\n has = False\n for j in range(i + 1, n):\n tn += a[j]\n if (tn == sm):\n tn = 0\n has = True\n elif tn > sm:\n res = False\n break\n if (tn == 0 and res and has):\n print(\"YES\")\n break\nelse:\n print(\"NO\")": 1.0, "n = int(input())\na = list(map(int, list(input())))\nfor i in range(n - 1)\n sm = sum(a[:i + 1])\n tn = 0\n res = True\n has = False\n for j in range(i + 1, n):\n tn += a[j]\n if (tn == sm):\n tn = 0\n has = True\n elif tn > sm:\n res = False\n break\n if (tn == 0 and res and has):\n print(\"YES\")\n break\nelse:\n print(\"NO\")": 0.0, "n = int(input())\na = list(map(int, list(input())))\nfor i in range(n - 1):\n sm = a[:i + 1] + a[i + 1:]\n tn = 0\n res = True\n has = False\n for j in range(i + 1, n):\n tn += a[j]\n if (tn == sm):\n tn = 0\n has = True\n elif tn > sm:\n res = False\n break\n if (tn == 0 and res and has):\n print(\"YES\")\n break\nelse:\n print(\"NO\")": 0.0, "n = int(input())\na = list(map(int, list(input())))\nfor i in range(n + 1):\n sm = sum(a[:i + 1])\n tn = 0\n res = True\n has = False\n for j in range(i + 1, n):\n tn += a[j]\n if (tn == sm):\n tn = 0\n has = True\n elif tn > sm:\n res = False\n break\n if (tn == 0 and res and has):\n print(\"YES\")\n break\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRecently Vasya found a golden ticket \u2014 a sequence which consists of $n$ digits $a_1a_2\\dots a_n$. Vasya considers a ticket to be lucky if it can be divided into two or more non-intersecting segments with equal sums. For example, ticket $350178$ is lucky since it can be divided into three segments $350$, $17$ and $8$: $3+5+0=1+7=8$. Note that each digit of sequence should belong to exactly one segment.\n\n\n\nHelp Vasya! Tell him if the golden ticket he found is lucky or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($2 \\le n \\le 100$) \u2014 the number of digits in the ticket.\n\n\n\nThe second line contains $n$ digits $a_1 a_2 \\dots a_n$ ($0 \\le a_i \\le 9$) \u2014 the golden ticket. Digits are printed without spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the golden ticket is lucky then print \"YES\", otherwise print \"NO\" (both case insensitive).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given is a positive integer N. Consider repeatedly applying the operation below on N:\n\n - First, choose a positive integer z satisfying all of the conditions below:\n\n - z can be represented as z=p^e, where p is a prime number and e is a positive integer;\n\n - z divides N;\n\n - z is different from all integers chosen in previous operations.\n\n - Then, replace N with N/z.\n\nFind the maximum number of times the operation can be applied.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 10^{12}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the maximum number of times the operation can be applied.\n\n\n\n-----Sample Input-----\n\n24\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nWe can apply the operation three times by, for example, making the following choices:\n\n - Choose z=2 (=2^1). (Now we have N=12.)\n\n - Choose z=3 (=3^1). (Now we have N=4.)\n\n - Choose z=4 (=2^2). (Now we have N=1.)", "responses": { "def division(n):\n if n < 2:\n return []\n prime_fac = []\n for i in range(2,int(n**0.5)+1):\n cnt = 0\n while n % i == 0:\n n //= i\n cnt += 1\n if cnt!=0:prime_fac.append((i,cnt))\n if n > 1:\n prime_fac.append((n,1))\n return prime_fac\nn = int(input())\ndiv = division(n)\nans = 0\nfor i,e in div:\n b = 1\n while b <= e:\n e -= b\n b += 1\n ans += 1\nprint(ans)": 1.0, "def division(n):\n if n < 2:\n return []\n prime_fac = []\n for i in range(2,int(n**0.5)+1):\n cnt = 0\n while n % i == 0:\n n //= i\n cnt += 1\n if cnt!=0:prime_fac.append((i,cnt))\n if n > 1:\n prime_fac.append((n,1))\n return prime_fac\nn = int(input())\ndiv = division(n)\nans = 0\nfor i,e in div:\n b = 2\n while b <= e:\n e -= b\n b += 1\n ans += 1\nprint(ans)": 0.0, "def division(n):\n if n < 2:\n return []\n prime_fac = []\n for i in range(2,int(n**0.5)+1):\n cnt = 1\n while n % i == 0:\n n //= i\n cnt += 1\n if cnt!=0:prime_fac.append((i,cnt))\n if n > 1:\n prime_fac.append((n,1))\n return prime_fac\nn = int(input())\ndiv = division(n)\nans = 0\nfor i,e in div:\n b = 1\n while b <= e:\n e -= b\n b += 1\n ans += 1\nprint(ans)": 0.0, "def division(n):\n if n < 2:\n return []\n prime_fac = []\n for i in range(2,int(n**0.5)+1):\n cnt = 0\n while n % i == 0:\n n //= i\n cnt += 1\n if cnt!=0:prime_fac.append((i+1,cnt))\n if n > 1:\n prime_fac.append((n,1))\n return prime_fac\nn = int(input())\ndiv = division(n)\nans = 0\nfor i,e in div:\n b = 1\n while b <= e:\n e -= b\n b += 1\n ans += 1\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven is a positive integer N. Consider repeatedly applying the operation below on N:\n\n - First, choose a positive integer z satisfying all of the conditions below:\n\n - z can be represented as z=p^e, where p is a prime number and e is a positive integer;\n\n - z divides N;\n\n - z is different from all integers chosen in previous operations.\n\n - Then, replace N with N/z.\n\nFind the maximum number of times the operation can be applied.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 10^{12}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the maximum number of times the operation can be applied.\n\n\n\n-----Sample Input-----\n\n24\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nWe can apply the operation three times by, for example, making the following choices:\n\n - Choose z=2 (=2^1). (Now we have N=12.)\n\n - Choose z=3 (=3^1). (Now we have N=4.)\n\n - Choose z=4 (=2^2). (Now we have N=1.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given an array asteroids of integers representing asteroids in a row.\n\n\n\nFor each asteroid, the absolute value represents its size, and the sign represents its direction (positive meaning right, negative meaning left). Each asteroid moves at the same speed.\n\n\n\nFind out the state of the asteroids after all collisions. If two asteroids meet, the smaller one will explode. If both are the same size, both will explode. Two asteroids moving in the same direction will never meet.", "responses": { "class Solution:\n def asteroidCollision(self, asteroids):\n \"\"\"\n :type asteroids: List[int]\n :rtype: List[int]\n \"\"\"\n l=len(asteroids)\n if l<2:\n return asteroids\n ans=[]\n stack=[]\n for a in asteroids:\n if a>0:\n stack.append(a)\n else:\n a=-a\n equal_flag=False\n while stack:\n cur=stack.pop() \n if cur==a:\n equal_flag=True\n break\n elif cur>a:\n stack.append(cur)\n break \n if equal_flag:\n continue \n if not stack:\n ans.append(-a)\n return ans+stack\n ": 1.0, "class Solution:\n def removeDuplicates(self, s: str) -> str:\n \"\"\"\n :type s: str\n :rtype: str\n \"\"\"\n stack = []\n for c in s:\n if not stack or stack[-1] != c:\n stack.append(c)\n else:\n stack.pop()\n return ''.join(stack)": 0.0, "class Solution:\n def removeDuplicates(self, s: str) -> str:\n \"\"\"\n :type s: str\n :rtype: str\n \"\"\"\n stack = []\n for c in s:\n if not stack or stack[-1] != c:\n stack.append(c)\n else:\n stack.append(c) #bug\n return ''.join(stack)": 0.0, "class Solution:\n def removeDuplicates(self, s: str) -> str:\n \"\"\"\n :type s: str\n :rtype: str\n \"\"\"\n stack = []\n for c in s:\n if not stack or stack[-1] != c:\n stack.append(c)\n else:\n stack.pop(1) #bug\n return ''.join(stack)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given an array asteroids of integers representing asteroids in a row.\n\n\n\nFor each asteroid, the absolute value represents its size, and the sign represents its direction (positive meaning right, negative meaning left). Each asteroid moves at the same speed.\n\n\n\nFind out the state of the asteroids after all collisions. If two asteroids meet, the smaller one will explode. If both are the same size, both will explode. Two asteroids moving in the same direction will never meet.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence of n integers a_1, a_2, ..., a_{n}. \n\n\n\nDetermine a real number x such that the weakness of the sequence a_1 - x, a_2 - x, ..., a_{n} - x is as small as possible.\n\n\n\nThe weakness of a sequence is defined as the maximum value of the poorness over all segments (contiguous subsequences) of a sequence.\n\n\n\nThe poorness of a segment is defined as the absolute value of sum of the elements of segment.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer n (1 \u2264 n \u2264 200 000), the length of a sequence.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (|a_{i}| \u2264 10 000).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a real number denoting the minimum possible weakness of a_1 - x, a_2 - x, ..., a_{n} - x. Your answer will be considered correct if its relative or absolute error doesn't exceed 10^{ - 6}.", "responses": { "import sys\nn = int(sys.stdin.readline())\na = [int(x) for x in sys.stdin.readline().split()]\neps = 1e-12\ndef f(x):\n mx = a[0] - x\n tsmx = 0.0\n mn = a[0] - x\n tsmn = 0.0\n for ai in a:\n tsmx = max(tsmx + ai - x, ai - x)\n mx = max(tsmx, mx)\n tsmn = min(tsmn + ai - x, ai - x)\n mn = min(tsmn, mn)\n return abs(mx), abs(mn)\nl = min(a)\nr = max(a)\nf1, f2 = f(l)\nfor i in range(0, 90):\n m = (l + r) / 2\n f1, f2 = f(m)\n if f1 > f2:\n l = m\n else:\n r = m\nA, B = f(l)\nprint(min(A,B))": 1.0, "import sys\nn = int(sys.stdin.readline())\na = [int(x) for x in sys.stdin.readline().split()]\neps = 1e-12\ndef f(x):\n mx = a[0] - x\n tsmx = 0.0\n mn = a[0] - x\n tsmn = 0.0\n for ai in a:\n tsmx = max(tsmx + ai - x, ai - x)\n mx = max(tsmx, mx)\n return mx # Bug: return statement is misplaced\n tsmn = min(tsmn + ai - x, ai - x)\n mn = min(tsmn, mn)\n return abs(mx), abs(mn)\nl = min(a)\nr = max(a)\nf1, f2 = f(l)\nfor i in range(0, 90):\n m = (l + r) / 2\n f1, f2 = f(m)\n if f1 > f2:\n l = m\n else:\n r = m\nA, B = f(l)\nprint(min(A,B))": 0.0, "import sys\nn = int(sys.stdin.readline())\na = [int(x) for x in sys.stdin.readline().split()]\neps = 1e-12\ndef f(x):\n mx = a[0] - x\n tsmx = 0.0\n mn = a[0] - x\n tsmn = 0.0\n for ai in a:\n tsmx = max(tsmx + ai - x, ai - x)\n mx = max(tsmx, mx)\n tsmn = max(tsmn + ai - x, ai - x) # Bug: max() instead of min()\n mn = max(tsmn, mn) # Bug: max() instead of min()\n return abs(mx), abs(mn)\nl = min(a)\nr = max(a)\nf1, f2 = f(l)\nfor i in range(0, 90):\n m = (l + r) / 2\n f1, f2 = f(m)\n if f1 > f2:\n l = m\n else:\n r = m\nA, B = f(l)\nprint(min(A,B))": 0.0, "import sys\nn = int(sys.stdin.readline())\na = [int(x) for x in sys.stdin.readline().split()]\neps = 1e-12\ndef f(x):\n mx = a[0] - x\n tsmx = 0.0\n mn = a[0] - x\n tsmn = 0.0\n for ai in a:\n tsmx = max(tsmx + ai - x, ai - x)\n mx = max(tsmx, mx)\n tsmn = min(tsmn + ai - x, ai - x)\n mn = min(tsmn, mn)\n return abs(mx), abs(mn)\nl = min(a)\nr = max(a)\nf1, f2 = f(r) # Bug: parameter passed to f() should be l instead of r\nfor i in range(0, 90):\n m = (l + r) / 2\n f1, f2 = f(m)\n if f1 > f2:\n l = m\n else:\n r = m\nA, B = f(l)\nprint(min(A,B))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence of n integers a_1, a_2, ..., a_{n}. \n\n\n\nDetermine a real number x such that the weakness of the sequence a_1 - x, a_2 - x, ..., a_{n} - x is as small as possible.\n\n\n\nThe weakness of a sequence is defined as the maximum value of the poorness over all segments (contiguous subsequences) of a sequence.\n\n\n\nThe poorness of a segment is defined as the absolute value of sum of the elements of segment.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer n (1 \u2264 n \u2264 200 000), the length of a sequence.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (|a_{i}| \u2264 10 000).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a real number denoting the minimum possible weakness of a_1 - x, a_2 - x, ..., a_{n} - x. Your answer will be considered correct if its relative or absolute error doesn't exceed 10^{ - 6}.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A frog is crossing a river. The river is divided into x units and at each unit there may or may not exist a stone. The frog can jump on a stone, but it must not jump into the water.\n\n\n\nGiven a list of stones' positions (in units) in sorted ascending order, determine if the frog is able to cross the river by landing on the last stone. Initially, the frog is on the first stone and assume the first jump must be 1 unit.\n\n\n\n\n\nIf the frog's last jump was k units, then its next jump must be either k - 1, k, or k + 1 units. Note that the frog can only jump in the forward direction.\n\n\n\nNote:\n\n\n\nThe number of stones is \u2265 2 and is < 1,100.\n\nEach stone's position will be a non-negative integer < 231.\n\nThe first stone's position is always 0.", "responses": { "class Solution:\n def canCross(self, stones):\n \"\"\"\n :type stones: List[int]\n :rtype: bool\n \"\"\"\n if stones == []: return False\n if len(stones) == 1: return True\n diff = [0]*len(stones)\n \n for i in range(1,len(stones)):\n if stones[i] - stones[i-1] > i: return False\n \n stk = [(0, 0)]\n dictt = {}\n for idx, stone in enumerate(stones):\n dictt[stone] = idx\n while stk:\n idx, prevjump = stk.pop()\n \n for k in range(max(1, prevjump-1), prevjump+2):\n if stones[idx] + k in dictt:\n x = dictt[stones[idx] + k]\n if x == len(stones) - 1: return True\n stk.append((dictt[stones[idx]+k], k))\n \n return False": 1.0, "class Solution:\n def canCross(self, stones):\n \"\"\"\n :type stones: List[int]\n :rtype: bool\n \"\"\"\n if stones == []: return False\n if len(stones) == 1: return True\n diff = [0]*len(stones)\n \n for i in range(1,len(stones)):\n if stones[i] - stones[i-1] > i: return False\n \n stk = [(0, 0)]\n dictt = {}\n for idx, stone in enumerate(stones):\n dictt[stone] = idx\n while stk:\n idx, prevjump = stk.pop()\n \n for k in range(max(1, prevjump-1), prevjump+2):\n if stones[idx] + k in dictt:\n x = dictt[stones[idx] + k]\n if x == len(stones) - 1:\n return True\n stk.append((dictt[stones[idx]+k], k))\n \n return False": 0.0, "class Solution:\n def canCross(self, stones):\n \"\"\"\n :type stones: List[int]\n :rtype: bool\n \"\"\"\n if stones == []: return False\n if len(stones) == 1: return True\n diff = [0]*len(stones)\n \n for i in range(1,len(stones)):\n if stones[i] - stones[i-1] > i: return False\n \n stk = [(0, 0)]\n dictt = {}\n for idx, stone in enumerate(stones):\n dictt[stone] = idx\n while stk:\n idx, prevjump = stk.pop()\n \n for k in range(max(1, prevjump-1), prevjump+2):\n if stones[idx] + k in dictt:\n x = dictt[stones[idx] + k]\n if x == len(stones):\n return True\n stk.append((dictt[stones[idx]+k], k))\n \n return False": 0.0, "class Solution:\n def canCross(self, stones):\n \"\"\"\n :type stones: List[int]\n :rtype: bool\n \"\"\"\n if stones == []: return False\n if len(stones) == 1: return True\n diff = [0]*len(stones)\n \n for i in range(1,len(stones)):\n if stones[i] - stones[i-1] > i: return False\n \n stk = [(0, 0)]\n dictt = {}\n for idx, stone in enumerate(stones):\n dictt[stone] = idx\n while stk:\n idx, prevjump = stk.pop()\n \n for k in range(max(1, prevjump-1), prevjump):\n if stones[idx] + k in dictt:\n x = dictt[stones[idx] + k]\n if x == len(stones) - 1:\n return True\n stk.append((dictt[stones[idx]+k], k))\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA frog is crossing a river. The river is divided into x units and at each unit there may or may not exist a stone. The frog can jump on a stone, but it must not jump into the water.\n\n\n\nGiven a list of stones' positions (in units) in sorted ascending order, determine if the frog is able to cross the river by landing on the last stone. Initially, the frog is on the first stone and assume the first jump must be 1 unit.\n\n\n\n\n\nIf the frog's last jump was k units, then its next jump must be either k - 1, k, or k + 1 units. Note that the frog can only jump in the forward direction.\n\n\n\nNote:\n\n\n\nThe number of stones is \u2265 2 and is < 1,100.\n\nEach stone's position will be a non-negative integer < 231.\n\nThe first stone's position is always 0.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array, you need to find one continuous subarray that if you only sort this subarray in ascending order, then the whole array will be sorted in ascending order, too. \n\n\n\nYou need to find the shortest such subarray and output its length.", "responses": { "class Solution:\n def findUnsortedSubarray(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n left = 1\n size = len(nums)\n if size == 0:\n return 0\n while left < size and nums[left - 1] <= nums[left]:\n left += 1\n if left == size:\n return 0\n left -= 1\n right = size - 1\n while right > 0 and nums[right] >= nums[right - 1]:\n right -= 1\n sub = nums[left : right + 1]\n min_ = min(sub)\n max_ = max(sub)\n for i in range(left):\n if nums[i] > min_:\n left = i\n break\n for i in range(size - 1, right, -1):\n if nums[i] < max_:\n right = i\n break\n return right - left + 1": 1.0, "class Solution:\n def findUnsortedSubarray(self, nums):\n left = 1\n size = len(nums)\n if size == 0:\n return 0\n while left < size and nums[left - 1] <= nums[left]:\n left += 1\n if left == size:\n return 0\n left -= 1\n right = size - 1\n while right > 0 and nums[right] >= nums[right - 1]:\n right -= 1\n right -= 1\n sub = nums[left : right + 1]\n min_ = min(sub)\n max_ = max(sub)\n for i in range(left):\n if nums[i] > min_:\n left = i\n break\n for i in range(size - 1, right, -1):\n if nums[i] < max_:\n right = i\n break\n return right - left + 1": 0.0, "class Solution:\n def findUnsortedSubarray(self, nums):\n left = 1\n size = len(nums)\n if size == 0:\n return 0\n while left < size and nums[left - 1] <= nums[left]:\n left += 1\n if left == size:\n return 0\n left -= 1\n right = size - 1\n while right > 0 and nums[right] >= nums[right - 1]:\n right -= 1\n sub = nums[left : right]\n min_ = min(sub)\n max_ = max(sub)\n for i in range(left):\n if nums[i] > min_:\n left = i\n break\n for i in range(size - 1, right, -1):\n if nums[i] < max_:\n right = i\n break\n return right - left + 1": 0.0, "class Solution:\n def findUnsortedSubarray(self, nums):\n left = 1\n size = len(nums)\n if size == 0:\n return 0\n while left < size and nums[left - 1] <= nums[left]:\n left += 1\n if left == size:\n return 0\n left -= 1\n right = size - 1\n while right > 0 and nums[right] >= nums[right - 1]:\n right -= 1\n sub = nums[left : right + 1]\n min_ = max(sub)\n max_ = max(sub)\n for i in range(left):\n if nums[i] > min_:\n left = i\n break\n for i in range(size - 1, right, -1):\n if nums[i] < max_:\n right = i\n break\n return right - left + 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array, you need to find one continuous subarray that if you only sort this subarray in ascending order, then the whole array will be sorted in ascending order, too. \n\n\n\nYou need to find the shortest such subarray and output its length.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Bob has a permutation of integers from 1 to n. Denote this permutation as p. The i-th element of p will be denoted as p_{i}. For all pairs of distinct integers i, j between 1 and n, he wrote the number a_{i}, j = min(p_{i}, p_{j}). He writes a_{i}, i = 0 for all integer i from 1 to n.\n\n\n\nBob gave you all the values of a_{i}, j that he wrote down. Your job is to reconstruct any permutation that could have generated these values. The input will be formed so that it is guaranteed that there is at least one solution that is consistent with the information given.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input will contain a single integer n (2 \u2264 n \u2264 50).\n\n\n\nThe next n lines will contain the values of a_{i}, j. The j-th number on the i-th line will represent a_{i}, j. The i-th number on the i-th line will be 0. It's guaranteed that a_{i}, j = a_{j}, i and there is at least one solution consistent with the information given.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n space separated integers, which represents a permutation that could have generated these values. If there are multiple possible solutions, print any of them.", "responses": { "def main():\n n = int(input())\n a = [[int(i) for i in input().split()] for j in range(n)]\n \n result = [-1] * n\n for i in range(n - 1):\n for j in range(n):\n d = set(a[j][k] for k in range(n) if result[k] == -1 and j != k)\n if len(d) == 1:\n result[j] = d.pop()\n result[result.index(-1)] = n\n \n print(' '.join(str(i) for i in result))\n \nmain()": 1.0, "def main():\n n = int(input())\n a = [[int(i) for i in input().split()] for j in range(n)]\n \n result = [-1] * n\n for i in range(n - 1):\n for j in range(n):\n d = set(a[j][k] for k in range(n) if result[k] == -1 and j != k)\n if len(d) == 2: # Changed condition to 2\n result[j] = d.pop()\n result[result.index(-1)] = n\n \n print(' '.join(str(i) for i in result))\n \nmain()": 0.0, "def main():\n n = int(input())\n a = [[int(i) for i in input().split()] for j in range(n)]\n \n result = [-1] * n\n for i in range(n - 1):\n for j in range(n):\n d = set(a[j][k] for k in range(n) if result[k] == -1 and j != k)\n if len(d) == 1:\n result[j] = d # Removed pop()\n result[result.index(-1)] = n\n \n print(' '.join(str(i) for i in result))\n \nmain()": 0.0, "def main():\n n = int(input())\n a = [[int(i) for i in input().split()] for j in range(n)]\n \n result = [-1] * n\n for i in range(n): # Changed loop iteration from n - 1 to n\n for j in range(n):\n d = set(a[j][k] for k in range(n) if result[k] == -1 and j != k)\n if len(d) == 1:\n result[j] = d.pop()\n result[result.index(-1)] = n\n \n print(' '.join(str(i) for i in result))\n \nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBob has a permutation of integers from 1 to n. Denote this permutation as p. The i-th element of p will be denoted as p_{i}. For all pairs of distinct integers i, j between 1 and n, he wrote the number a_{i}, j = min(p_{i}, p_{j}). He writes a_{i}, i = 0 for all integer i from 1 to n.\n\n\n\nBob gave you all the values of a_{i}, j that he wrote down. Your job is to reconstruct any permutation that could have generated these values. The input will be formed so that it is guaranteed that there is at least one solution that is consistent with the information given.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input will contain a single integer n (2 \u2264 n \u2264 50).\n\n\n\nThe next n lines will contain the values of a_{i}, j. The j-th number on the i-th line will represent a_{i}, j. The i-th number on the i-th line will be 0. It's guaranteed that a_{i}, j = a_{j}, i and there is at least one solution consistent with the information given.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n space separated integers, which represents a permutation that could have generated these values. If there are multiple possible solutions, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Piegirl got bored with binary, decimal and other integer based counting systems. Recently she discovered some interesting properties about number $q = \\frac{\\sqrt{5} + 1}{2}$, in particular that q^2 = q + 1, and she thinks it would make a good base for her new unique system. She called it \"golden system\". In golden system the number is a non-empty string containing 0's and 1's as digits. The decimal value of expression a_0a_1...a_{n} equals to $\\sum_{i = 0}^{n} a_{i} \\cdot q^{n - i}$.\n\n\n\nSoon Piegirl found out that this system doesn't have same properties that integer base systems do and some operations can not be performed on it. She wasn't able to come up with a fast way of comparing two numbers. She is asking for your help.\n\n\n\nGiven two numbers written in golden system notation, determine which of them has larger decimal value.\n\n\n\n\n\n-----Input-----\n\n\n\nInput consists of two lines \u2014 one for each number. Each line contains non-empty string consisting of '0' and '1' characters. The length of each string does not exceed 100000.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \">\" if the first number is larger, \"<\" if it is smaller and \"=\" if they are equal.", "responses": { "u = v = 0\na, b = input(), input()\nn, m = len(a), len(b)\nif n > m: b = '0' * (n - m) + b\nelse: a = '0' * (m - n) + a\nfor i in range(max(n, m)):\n u, v = v + u, u + int(a[i]) - int(b[i])\n if u > 1:\n print('>')\n return\n elif u < -1:\n print('<')\n return\nd = 2 * v + u\nif u == v == 0: print('=')\nelif u >= 0 and d >= 0: print('>')\nelif u <= 0 and d <= 0: print('<')\nelse: print('>' if (u * u > v * (v + u)) ^ (u < 0) else '<')": 1.0, "u = v = 0\na, b = input(), input()\nn, m = len(a), len(b)\nif n > m: b = '0' * (n + m) + b\nelse: a = '0' * (m - n) + a\nfor i in range(max(n, m)):\n u, v = v + u, u + int(a[i]) - int(b[i])\n if u > 1:\n print('>')\n return\n elif u < -1:\n print('<')\n return\nd = 2 * v + u\nif u == v == 0: print('=')\nelif u >= 0 and d >= 0: print('>')\nelif u <= 0 and d <= 0: print('<')\nelse: print('>' if (u * u > v * (v + u)) ^ (u < 0) else '<')": 0.0, "u = v = 0\na, b = input(), input()\nn, m = len(a), len(b)\nif n > m: b = '0' * (n - m) + b\nelse: a = '0' * (m + n) + a\nfor i in range(max(n, m)):\n u, v = v + u, u + int(a[i]) - int(b[i])\n if u > 1:\n print('>')\n return\n elif u < -1:\n print('<')\n return\nd = 2 * v + u\nif u == v == 0: print('=')\nelif u >= 0 and d >= 0: print('>')\nelif u <= 0 and d <= 0: print('<')\nelse: print('>' if (u * u > v * (v + u)) ^ (u < 0) else '<')": 0.0, "u = v = 0\na, b = input(), input()\nn, m = len(a), len(b)\nif n > m: b = '0' * (n - m) + b\nelse: a = '0' * (m - n) + a\nfor i in range(max(n, m)):\n u, v = v + u, u + int(a[i]) - int(b[i])\n if u > 1:\n print('>')\n return\n elif u < -1:\n print('<')\n return\nd = 2 * v - u\nif u == v == 0: print('=')\nelif u >= 0 and d >= 0: print('>')\nelif u <= 0 and d <= 0: print('<')\nelse: print('>' if (u * u > v * (v + u)) ^ (u < 0) else '<')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPiegirl got bored with binary, decimal and other integer based counting systems. Recently she discovered some interesting properties about number $q = \\frac{\\sqrt{5} + 1}{2}$, in particular that q^2 = q + 1, and she thinks it would make a good base for her new unique system. She called it \"golden system\". In golden system the number is a non-empty string containing 0's and 1's as digits. The decimal value of expression a_0a_1...a_{n} equals to $\\sum_{i = 0}^{n} a_{i} \\cdot q^{n - i}$.\n\n\n\nSoon Piegirl found out that this system doesn't have same properties that integer base systems do and some operations can not be performed on it. She wasn't able to come up with a fast way of comparing two numbers. She is asking for your help.\n\n\n\nGiven two numbers written in golden system notation, determine which of them has larger decimal value.\n\n\n\n\n\n-----Input-----\n\n\n\nInput consists of two lines \u2014 one for each number. Each line contains non-empty string consisting of '0' and '1' characters. The length of each string does not exceed 100000.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \">\" if the first number is larger, \"<\" if it is smaller and \"=\" if they are equal.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-negative\u00a0index k\u00a0where k \u2264\u00a033, return the kth\u00a0index row of the Pascal's triangle.\n\n\n\nNote that the row index starts from\u00a00.\n\n\n\n\n\nIn Pascal's triangle, each number is the sum of the two numbers directly above it.\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput: [1,3,3,1]\n\n\n\n\n\nFollow up:\n\n\n\nCould you optimize your algorithm to use only O(k) extra space?", "responses": { "class Solution:\n def getRow(self, k):\n \"\"\"\n :type k: int\n :rtype: List[int]\n \"\"\"\n res = [1]\n cur = k\n for i in range(k//2):\n res += res[-1] * cur // (i+1),\n cur -= 1\n if k % 2 == 0:\n res = res + res[:-1][::-1]\n else:\n res = res + res[::-1]\n return res": 1.0, "class Solution:\n def getRow(self, k):\n \"\"\"\n :type k: int\n :rtype: List[int]\n \"\"\"\n res = [1]\n cur = k\n for i in range(k//2):\n res += res[-1] * cur // (i+1)\n cur -= 1\n if k % 2 == 0:\n res = res + res[:-1][::-1]\n else:\n res = res + res[::-1]\n return res,": 0.0, "class Solution:\n def getRow(self, k):\n \"\"\"\n :type k: int\n :rtype: List[int]\n \"\"\"\n res = [1]\n cur = k\n for i in range(k//2):\n res += res[-1] * cur / (i+1),\n cur -= 1\n if k % 2 == 0:\n res = res + res[:-1][::-1]\n else:\n res = res + res[::-1]\n return res": 0.0, "class Solution:\n def getRow(self, k):\n \"\"\"\n :type k: int\n :rtype: List[int]\n \"\"\"\n res = [1]\n cur = k\n for i in range(k//2):\n res += res[-1] * cur // (i+1),\n cur -= 1\n if k % 2 == 0:\n res = res + res[:-1][::-1],\n else:\n res = res + res[::-1]\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-negative\u00a0index k\u00a0where k \u2264\u00a033, return the kth\u00a0index row of the Pascal's triangle.\n\n\n\nNote that the row index starts from\u00a00.\n\n\n\n\n\nIn Pascal's triangle, each number is the sum of the two numbers directly above it.\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput: [1,3,3,1]\n\n\n\n\n\nFollow up:\n\n\n\nCould you optimize your algorithm to use only O(k) extra space?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Dima worked all day and wrote down on a long paper strip his favorite number $n$ consisting of $l$ digits. Unfortunately, the strip turned out to be so long that it didn't fit in the Dima's bookshelf.\n\n\n\nTo solve the issue, Dima decided to split the strip into two non-empty parts so that each of them contains a positive integer without leading zeros. After that he will compute the sum of the two integers and write it down on a new strip.\n\n\n\nDima wants the resulting integer to be as small as possible, because it increases the chances that the sum will fit it in the bookshelf. Help Dima decide what is the minimum sum he can obtain.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $l$ ($2 \\le l \\le 100\\,000$)\u00a0\u2014 the length of the Dima's favorite number.\n\n\n\nThe second line contains the positive integer $n$ initially written on the strip: the Dima's favorite number.\n\n\n\nThe integer $n$ consists of exactly $l$ digits and it does not contain leading zeros. Dima guarantees, that there is at least one valid way to split the strip.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the smallest number Dima can obtain.", "responses": { "l = int(input())\nn = input()\nbest = int(n)\np = (l - 1) // 2\nfor i in range(p, -1, -1):\n\tif (n[i + 1] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[0:(i + 1)]) + int(n[i + 1:]))\n\tbreak\np = l // 2\nfor i in range(p, l):\n\tif (n[i] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[0:i]) + int(n[i:]))\n\tbreak\nprint(best)": 1.0, "l = int(input())\nn == input()\nbest = int(n)\np = (l - 1) // 2\nfor i in range(p, -1, -1):\n\tif (n[i + 1] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[0:(i + 1)]) + int(n[i + 1:]))\n\tbreak\np = l // 2\nfor i in rnage(p, l):\n\tif (n[i] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[0:i]) + int(n[i:]))\n\tbreak\nprint(best)": 0.0, "l = int(input())\nn = input()\nbest = int(n)\np = (l - 1) // 2\nfor i in range(p, -1, -1):\n\tif (n[i + 1] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[0:(i + 1)]) - int(n[i + 1:]))\n\tbreak\np = l // 2\nfor i in range(p, l):\n\tif (n[i] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[i:]) + int(n[0:i]))\n\tbreak\nprint(best)": 0.0, "l = int(input())\nn = input()\nbest = int(n)\np = (l - 1) // 2\nfor i in range(p, -1, -1):\n\tif (n[i + 1] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[i + 1:]) + int(n[0:(i + 1)]))\n\tbreak\np = l // 2\nfor i in range(p, l):\n\tif (n[i] == '0'):\n\t\tcontinue\n\tbest = min(best, int(n[i:]) + int(n[0:i]))\n\tbreak\nprint(best)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDima worked all day and wrote down on a long paper strip his favorite number $n$ consisting of $l$ digits. Unfortunately, the strip turned out to be so long that it didn't fit in the Dima's bookshelf.\n\n\n\nTo solve the issue, Dima decided to split the strip into two non-empty parts so that each of them contains a positive integer without leading zeros. After that he will compute the sum of the two integers and write it down on a new strip.\n\n\n\nDima wants the resulting integer to be as small as possible, because it increases the chances that the sum will fit it in the bookshelf. Help Dima decide what is the minimum sum he can obtain.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $l$ ($2 \\le l \\le 100\\,000$)\u00a0\u2014 the length of the Dima's favorite number.\n\n\n\nThe second line contains the positive integer $n$ initially written on the strip: the Dima's favorite number.\n\n\n\nThe integer $n$ consists of exactly $l$ digits and it does not contain leading zeros. Dima guarantees, that there is at least one valid way to split the strip.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the smallest number Dima can obtain.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "One day Chef was playing with numbers. He loves Lowest Common Multiple (LCM) too much and he is a very curious guy. He always try to do new things. Now he want to make a large number with it. But he doesn't want to take too many numbers.\n\n\n\nHe is willing to take only three numbers less than or equal to N (not necessarily distinct ) and from those three number he want get the maximum number by taking LCM of the numbers.\n\n\n\nAs he is busy in playing some more tricks of maths, he assign this task to you.\n\n\n\n-----Input-----\n\nFirst line of input contains an integer t ( t<=1000 ), Number of test cases.\n\n\n\nt line follows an integer N\n\n\n\n-----Output-----\n\nPrint t lines contains a single integer \u2014 the maximum possible LCM of three not necessarily distinct positive integers that are not greater than N.\n\n\n\n-----Constraints-----\n\n1<= N <= 10^6\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n9\n\n7\n\n\n\nOutput:\n\n504\n\n210\n\n\n\n\n\n-----Explanation-----\n\nExample case 2. For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7\u20226\u20225\u2009=\u2009210. It is the maximum value we can get.", "responses": { "from fractions import gcd\nfor testCases in range(eval(input())):\n n = eval(input())\n if n == 1:\n print('1')\n elif n == 2:\n print('2')\n elif n == 3:\n print('6')\n else:\n c = n*(n-1)\n k = n - 2\n while True:\n if gcd(k,n-1) == 1 and gcd(k,n) == 1:\n break\n k -= 1\n d = (n-1)*(n - 2)\n k1 = n - 3\n while True:\n if gcd(k1,n-1) == 1 and gcd(k1,n-2) == 1:\n break\n k1 -= 1\n print(max(c*k,d*k1))": 1.0, "from fractions import gcd\nfor testCases in range(eval(input())):\n n = eval(input())\n if n == 1:\n print('1')\n elif n == 2:\n print(2)\n elif n == 3:\n print('6')\n else:\n c = n*(n-1)\n k = n - 2\n while True:\n if gcd(k,n-1) == 1 and gcd(k,n) == 1:\n break\n k -= 1\n d = (n-1)*(n - 2)\n k1 = n - 3\n while True:\n if gcd(k1,n-1) == 1 and gcd(k1,n-2) == 1:\n break\n k1 -= 1\n print(max(c*k,d*k1))": 0.0, "from fractions import gcd\nfor testCases in range(eval(input())):\n n = eval(input())\n if n == 1:\n print('1')\n elif n == 2:\n print('2')\n elif n == 3:\n print('6')\n else:\n c = n*(n-1)\n k = n - 2\n while True:\n if gcd(k,n-1) == 1 and gcd(k,n) == 1:\n break\n k -= 1\n d = (n-1)*(n - 2)\n k1 = n - 3\n while True:\n if gcd(k,n-1) == 1 and gcd(k,n-2) == 1:\n break\n k1 -= 1\n print(max(c*k,d*k1))": 0.0, "from fractions import gcd\nfor testCases in range(eval(input())):\n n = eval(input())\n if n == 1:\n print('1')\n elif n == 2:\n print('2')\n elif n == 3:\n print('6')\n else:\n c = n*(n-1)\n k = n - 2\n while True:\n if gcd(k,n-1) == 1 and gcd(k,n) == 1:\n break\n k -= 1\n d = (n-1)*(n - 2)\n k1 = n - 3\n while True:\n if gcd(k1,n-1) == 1 and gcd(k1,n-2) == 1:\n break\n k1 -= 1\n print(max(c*k,d*k))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOne day Chef was playing with numbers. He loves Lowest Common Multiple (LCM) too much and he is a very curious guy. He always try to do new things. Now he want to make a large number with it. But he doesn't want to take too many numbers.\n\n\n\nHe is willing to take only three numbers less than or equal to N (not necessarily distinct ) and from those three number he want get the maximum number by taking LCM of the numbers.\n\n\n\nAs he is busy in playing some more tricks of maths, he assign this task to you.\n\n\n\n-----Input-----\n\nFirst line of input contains an integer t ( t<=1000 ), Number of test cases.\n\n\n\nt line follows an integer N\n\n\n\n-----Output-----\n\nPrint t lines contains a single integer \u2014 the maximum possible LCM of three not necessarily distinct positive integers that are not greater than N.\n\n\n\n-----Constraints-----\n\n1<= N <= 10^6\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n9\n\n7\n\n\n\nOutput:\n\n504\n\n210\n\n\n\n\n\n-----Explanation-----\n\nExample case 2. For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7\u20226\u20225\u2009=\u2009210. It is the maximum value we can get.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty\u00a0array of integers, every element appears twice except for one. Find that single one.\n\n\n\nNote:\n\n\n\nYour algorithm should have a linear runtime complexity. Could you implement it without using extra memory?", "responses": { "class Solution:\n def singleNumber(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n l = len(nums)\n if l == 1:\n return nums[0]\n \n # Attempt 1 - 80%\n # nums.sort()\n # i = 0\n # while i < l:\n # if i+1 == l:\n # return nums[i]\n # elif nums[i] != nums[i+1]:\n # #either i or i+1\n # if nums[i+2] == nums[i+1]:\n # return nums[i]\n # else: \n # i+=2\n \n # Attempt 2 - 100%\n result = 0\n for num in nums:\n result ^= num\n return result": 1.0, "class Solution:\n def singleNumber(self, nums)\n \"\"\"\n :type nums: List[int]\n :rtype:int\n \"\"\"\n l = len(nums)\n if l == 1:\n return nums[0]\n \n # Attempt 1 - 80%\n # nums.sort()\n # i = 0\n # while i < l:\n # if i+1 == l:\n # return nums[i]\n # elif nums[i] != nums[i+1]:\n # #either i or i+1\n # if nums[i+2] == nums[i+1]:\n # return nums[i]\n # else:\n # i+=2\n \n # Attempt 2 - 100%\n result = 0\n for num in nums:\n result ^= num\n return result": 0.0, "class Solution:\n def singleNumber(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n l = len(nums)\n # if l == 1:\n # return nums[0]\n \n # Attempt 1 - 80%\n # nums.sort()\n # i = 0\n # while i < l:\n # if i+1 == l:\n # return nums[i]\n # elif nums[i] != nums[i+1]:\n # #either i or i+1\n # if nums[i+2] == nums[i+1]:\n # return nums[i]\n # else: \n # i+=2\n \n # Attempt 2 - 100%\n result = 0\n for num in nums:\n result ^= num\n return result": 0.0, "class Solution:\n def singleNumber(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n l = len(nums)\n if l == 1:\n return nums[0]\n \n # Attempt 1 - 80%\n # nums.sort()\n # i = 0\n # while i < l:\n # if i+1 == l:\n # return nums[i]\n # elif nums[i] != nums[i+1]:\n # #either i or i+1\n # if nums[i+2] == nums[i+1]:\n # return nums[i]\n # else: \n # i+=2\n \n # Attempt 2 - 100%\n result = 0\n for num in nums:\n result ^= num\n resutn result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty\u00a0array of integers, every element appears twice except for one. Find that single one.\n\n\n\nNote:\n\n\n\nYour algorithm should have a linear runtime complexity. Could you implement it without using extra memory?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have N cards. A number a_i is written on the i-th card.\n\n\n\nAlice and Bob will play a game using these cards. In this game, Alice and Bob alternately take one card. Alice goes first.\n\n\n\nThe game ends when all the cards are taken by the two players, and the score of each player is the sum of the numbers written on the cards he/she has taken. When both players take the optimal strategy to maximize their scores, find Alice's score minus Bob's score.\n\n\n\n-----Constraints-----\n\n - N is an integer between 1 and 100 (inclusive).\n\n - a_i \\ (1 \\leq i \\leq N) is an integer between 1 and 100 (inclusive).\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format: \n\nN\n\na_1 a_2 a_3 ... a_N\n\n\n\n-----Output-----\n\nPrint Alice's score minus Bob's score when both players take the optimal strategy to maximize their scores.\n\n\n\n-----Sample Input-----\n\n2\n\n3 1\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nFirst, Alice will take the card with 3. Then, Bob will take the card with 1.\n\nThe difference of their scores will be 3 - 1 = 2.", "responses": { "def main():\n N = int(input())\n A = list(map(int, input().split()))\n alice = 0\n bob = 0\n A.sort(reverse=True)\n for i, a in enumerate(A):\n if i%2 == 0:\n alice += a\n else:\n bob += a\n print((alice - bob))\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n N = int(input())\n A = list(map(int, input().split()))\n alice = 0\n bob = 0\n A.sort(reverse=True)\n for i, a in enumerate(A):\n if i%2 == 1: # Changed the condition to odd instead of even\n alice += a\n else:\n bob += a\n print((alice - bob))\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n N = int(input())\n A = list(map(int, input().split()))\n alice = 0\n bob = 0\n A.sort(reverse=True)\n for i, a in enumerate(A):\n if i%2 == 0:\n alice -= a # Changed addition to subtraction\n else:\n bob += a\n print((alice - bob))\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n N = int(input())\n A = list(map(int, input().split()))\n alice = 0\n bob = 0\n A.sort(reverse=True)\n for i, a in enumerate(A):\n if i%2 == 0:\n alice += a\n else:\n bob -= a # Changed addition to subtraction\n print((alice - bob))\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have N cards. A number a_i is written on the i-th card.\n\n\n\nAlice and Bob will play a game using these cards. In this game, Alice and Bob alternately take one card. Alice goes first.\n\n\n\nThe game ends when all the cards are taken by the two players, and the score of each player is the sum of the numbers written on the cards he/she has taken. When both players take the optimal strategy to maximize their scores, find Alice's score minus Bob's score.\n\n\n\n-----Constraints-----\n\n - N is an integer between 1 and 100 (inclusive).\n\n - a_i \\ (1 \\leq i \\leq N) is an integer between 1 and 100 (inclusive).\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format: \n\nN\n\na_1 a_2 a_3 ... a_N\n\n\n\n-----Output-----\n\nPrint Alice's score minus Bob's score when both players take the optimal strategy to maximize their scores.\n\n\n\n-----Sample Input-----\n\n2\n\n3 1\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nFirst, Alice will take the card with 3. Then, Bob will take the card with 1.\n\nThe difference of their scores will be 3 - 1 = 2.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Your task is to build a model^(1) which can predict y-coordinate.\n\nYou can pass tests if predicted y-coordinates are inside error margin.\n\n\n\nYou will receive train set which should be used to build a model. \n\nAfter you build a model tests will call function ```predict``` and pass x to it. \n\n\n\nError is going to be calculated with RMSE.\n\n\n\n\n\n\n\nBlocked libraries: sklearn, pandas, tensorflow, numpy, scipy\n\n\n\nExplanation\n\n[1] A mining model is created by applying an algorithm to data, but it is more than an algorithm or a metadata container: it is a set of data, statistics, and patterns that can be applied to new data to generate predictions and make inferences about relationships.", "responses": { "class Datamining:\n a = 0\n b = 0\n def __init__(self, train_set):\n sx = sy = sxx = sxy = 0\n n = len(train_set)\n for i in range(n):\n sx += train_set[i][0]\n sy += train_set[i][1]\n sxx += train_set[i][0]**2\n sxy += train_set[i][0]*train_set[i][1]\n self.b = (n*sxy-sx*sy)/(n*sxx-sx**2)\n self.a = (sy-self.b*sx)/n\n def predict(self, x):\n return self.a + self.b*x": 1.0, "class Datamining:\n a = 0\n b = 0\n def __init__(self, train_set):\n sx = sy = sxx = sxy = 0\n n = len(train_set)\n for i in range(n):\n sx += train_set[i][0]\n sy += train_set[i][1]\n sxx += train_set[i][0]**2\n sxy += train_set[i][0]*train_set[i][1]\n self.b = (n*sxy-sx*sy)/(n*sxx-sx**2)\n def predict(self, x):\n return self.b*x": 0.0, "class Datamining:\n a = 0\n b = 0\n def __init__(self, train_set):\n sx = sy = sxx = sxy = 0\n n = len(train_set)\n for i in range(n):\n sx += train_set[i][0]\n sy += train_set[i][1]\n sxx += train_set[i][0]**2\n sxy += train_set[i][0]*train_set[i][1]\n self.b = (n-sx*sy)/(n*sxx-sx**2)\n self.a = (sy-self.b*sx)/n\n def predict(self, x):\n return self.a + self.b*x": 0.0, "class Datamining:\n a = 0\n b = 0\n def __init__(self, train_set):\n sx = sy = sxx = sxy = 0\n n = len(train_set)\n for i in range(n):\n sx += train_set[i][0]\n sxx += train_set[i][0]**2\n sxy += train_set[i][0]*train_set[i][1]\n self.b = (n*sxy-sx*sy)/(n*sxx-sx**2)\n self.a = (sy-self.b*sx)/n\n def predict(self, x):\n return self.a + self.b*x": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYour task is to build a model^(1) which can predict y-coordinate.\n\nYou can pass tests if predicted y-coordinates are inside error margin.\n\n\n\nYou will receive train set which should be used to build a model. \n\nAfter you build a model tests will call function ```predict``` and pass x to it. \n\n\n\nError is going to be calculated with RMSE.\n\n\n\n\n\n\n\nBlocked libraries: sklearn, pandas, tensorflow, numpy, scipy\n\n\n\nExplanation\n\n[1] A mining model is created by applying an algorithm to data, but it is more than an algorithm or a metadata container: it is a set of data, statistics, and patterns that can be applied to new data to generate predictions and make inferences about relationships.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty array of numbers, a0, a1, a2, \u2026 , an-1, where 0 \u2264 ai < 231.\n\n\n\nFind the maximum result of ai XOR aj, where 0 \u2264 i, j < n.\n\n\n\nCould you do this in O(n) runtime?\n\n\n\nExample:\n\n\n\nInput: [3, 10, 5, 25, 2, 8]\n\n\n\nOutput: 28\n\n\n\nExplanation: The maximum result is 5 ^ 25 = 28.", "responses": { "class Solution:\n def findMaximumXOR(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ans = 0\n for bit in range(31, -1, -1) :\n ans = (ans << 1) + 1\n pre = set()\n for n in nums :\n p = (n >> bit) & ans\n if p in pre :\n break\n pre.add(ans - p)\n else :\n ans -= 1\n return ans": 1.0, "class Solution:\n def findMaximumXOR(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ans = 0\n for bit in range(31, -1, -1) :\n ans = (ans << 1) + 1\n pre = set()\n for n in nums :\n p = (n >> bit) & ans\n if p in pre :\n break\n pre.add(ans - p)\n else :\n ans -= 1\n return answer": 0.0, "class Solution\n def findMaximumXOR(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ans = 0\n for bit in range(31, -1, -1) :\n ans = (ans << 1) & 1\n pre = set()\n for n in nums :\n p = (n >> bit) & ans\n if p in pre :\n break\n pre.add(ans - p)\n else :\n ans -= 1\n return ans": 0.0, "class Solution:\n def findMaximumXOR(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ans = 0\n for bit in range(31, -1, -1) :\n ans = (ans << 1) + 1\n pre = set()\n for n in nums :\n p = (n >> bit) & ans\n if p in pre :\n continue\n pre.add(ans - p)\n else :\n ans += 1\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty array of numbers, a0, a1, a2, \u2026 , an-1, where 0 \u2264 ai < 231.\n\n\n\nFind the maximum result of ai XOR aj, where 0 \u2264 i, j < n.\n\n\n\nCould you do this in O(n) runtime?\n\n\n\nExample:\n\n\n\nInput: [3, 10, 5, 25, 2, 8]\n\n\n\nOutput: 28\n\n\n\nExplanation: The maximum result is 5 ^ 25 = 28.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N workers.\u00a0 The i-th worker has a quality[i] and a minimum wage expectation wage[i].\n\nNow we want to hire exactly K\u00a0workers to form a paid group.\u00a0 When hiring a group of K workers, we must pay them according to the following rules:\n\n\n\nEvery worker in the paid group should be paid in the ratio of their quality compared to other workers in the paid group.\n\nEvery worker in the paid group must be paid at least their minimum wage expectation.\n\n\n\nReturn the least amount of money needed to form a paid group satisfying the above conditions.", "responses": { "from typing import *\nfrom heapq import heappop, heappush\nclass Solution:\n def mincostToHireWorkers(self, quality: List[int], wage: List[int], K: int) -> float:\n N = len(quality)\n heap_quality = []\n workers = [i for i in range(N)]\n workers = sorted(workers, key=lambda x: wage[x] / quality[x])\n sum_quality = 0\n for i in range(K):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n ans = sum_quality * (wage[workers[K - 1]] / quality[workers[K - 1]])\n for i in range(K, N):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n sum_quality += heappop(heap_quality) # negative quality value\n ans = min(ans, sum_quality * (wage[workers[i]] / quality[workers[i]]))\n return ans": 1.0, "from typing import *\nfrom heapq import heappop\n\nclass Solution:\n def mincostToHireWorkers(self, quality: List[int], wage: List[int], K: int) -> float:\n N = len(quality)\n heap_quality = []\n workers = [i for i in range(N)]\n workers = sorted(workers, key=lambda x: wage[x] / quality[x])\n sum_quality = 0\n for i in range(K):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n ans = sum_quality * (wage[workers[K - 1]] / quality[workers[K - 1]])\n for i in range(K, N):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n sum_quality += heappop(heap_quality) # negative quality value\n ans = min(ans, sum_quality * (wage[workers[i]] / quality[workers[i]]))\n return ans": 0.0, "from typing import *\nfrom heapq import heappop, heappush\n\nclass Solution:\n def mincostToHireWorkers(self, quality: List[int], wage: List[int], K: int) -> float:\n N = len(quality)\n heap_quality = []\n workers = [i for i in range(N)]\n workers = sorted(workers, key=lambda x: wage[x] / quality[x])\n sum_quality = 0\n for i in range(K):\n heappush(heap_quality, quality[workers[i]]) # incorrect push method\n sum_quality += quality[workers[i]]\n ans = sum_quality * (wage[workers[K - 1]] / quality[workers[K - 1]])\n for i in range(K, N):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n sum_quality += heappop(heap_quality) # negative quality value\n ans = min(ans, sum_quality * (wage[workers[i]] / quality[workers[i]]))\n return ans": 0.0, "from typing import *\nfrom heapq import heappop, heappush\n\nclass Solution:\n def mincostToHireWorkers(self, quality: List[int], wage: List[int], K: int) -> float:\n N = len(quality)\n heap_quality = []\n workers = [i for i in range(N)]\n workers = sorted(workers, key=lambda x: wage[x] / quality[x])\n sum_quality = 0\n for i in range(K):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n ans = sum_quality * (wage[workers[K - 1]] / quality[workers[K - 1]])\n for i in range(K, N):\n heappush(heap_quality, -quality[workers[i]])\n sum_quality += quality[workers[i]]\n avg_quality = sum_quality // (i - K + 1) # incorrect average calculation\n ans = min(ans, avg_quality * (wage[workers[i]] / quality[workers[i]]))\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N workers.\u00a0 The i-th worker has a quality[i] and a minimum wage expectation wage[i].\n\nNow we want to hire exactly K\u00a0workers to form a paid group.\u00a0 When hiring a group of K workers, we must pay them according to the following rules:\n\n\n\nEvery worker in the paid group should be paid in the ratio of their quality compared to other workers in the paid group.\n\nEvery worker in the paid group must be paid at least their minimum wage expectation.\n\n\n\nReturn the least amount of money needed to form a paid group satisfying the above conditions.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You got a box with a combination lock. The lock has a display showing n digits. There are two buttons on the box, each button changes digits on the display. You have quickly discovered that the first button adds 1 to all the digits (all digits 9 become digits 0), and the second button shifts all the digits on the display one position to the right (the last digit becomes the first one). For example, if the display is currently showing number 579, then if we push the first button, the display will show 680, and if after that we push the second button, the display will show 068.\n\n\n\nYou know that the lock will open if the display is showing the smallest possible number that can be obtained by pushing the buttons in some order. The leading zeros are ignored while comparing numbers. Now your task is to find the desired number.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 1000)\u00a0\u2014 the number of digits on the display.\n\n\n\nThe second line contains n digits\u00a0\u2014 the initial state of the display.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single line containing n digits\u00a0\u2014 the desired state of the display containing the smallest possible number.", "responses": { "def modify(string, index):\n \n if string[index] == '0':\n key = 0\n else:\n key = 10 - int(string[index])\n bad = ''\n for i in string:\n bad += str((int(i) + key) % 10)\n return bad[index:] + bad[:index]\nx = int(input())\ny = input()\nminx = 'zzzzzzzzz'\nfor i in range(x):\n minx = min(minx, modify(y, i))\nprint(minx)": 1.0, "def modify(string, index):\n \n if string[index] == '0':\n key = ''\n else:\n key = 10 - int(string[index])\n bad = ''\n for i in string:\n bad += str((int(i) + key) % 10)\n return bad[index:] + bad[:index]\nx = int(input())\ny = input()\nminx = 'zzzzzzzzz'\nfor i in range(x):\n minx = min(minx, modify(y, i))\nprint(minx)": 0.0, "def modify(string, index):\n \n if string[index] == '0':\n key = 0\n else:\n key = 10 - int(string[index])\n key = [0]\n bad = ''\n for i in string:\n bad += str((int(i) + key) % 10)\n return bad[index:] + bad[:index]\nx = int(input())\ny = input()\nminx = 'zzzzzzzzz'\nfor i in range(x):\n minx = min(minx, modify(y, i))\nprint(minx)": 0.0, "def modify(string, index):\n\n if string[index] == '0':\n key = 0\n else:\n key = 10 - int(string[index])\n bad = ''\n for i in string:\n bad += str((int(i) + key) % 10)\n return None[index:] + bad[:index]\nx = int(input())\ny = input()\nminx = 'zzzzzzzzz'\nfor i in range(x):\n minx = min(minx, modify(y, i))\nprint(minx)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou got a box with a combination lock. The lock has a display showing n digits. There are two buttons on the box, each button changes digits on the display. You have quickly discovered that the first button adds 1 to all the digits (all digits 9 become digits 0), and the second button shifts all the digits on the display one position to the right (the last digit becomes the first one). For example, if the display is currently showing number 579, then if we push the first button, the display will show 680, and if after that we push the second button, the display will show 068.\n\n\n\nYou know that the lock will open if the display is showing the smallest possible number that can be obtained by pushing the buttons in some order. The leading zeros are ignored while comparing numbers. Now your task is to find the desired number.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 1000)\u00a0\u2014 the number of digits on the display.\n\n\n\nThe second line contains n digits\u00a0\u2014 the initial state of the display.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single line containing n digits\u00a0\u2014 the desired state of the display containing the smallest possible number.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Return the result of evaluating a given boolean expression, represented as a string.\n\nAn expression can either be:\n\n\n\n\"t\", evaluating to True;\n\n\"f\", evaluating to False;\n\n\"!(expr)\", evaluating to the logical NOT of the inner expression expr;\n\n\"&(expr1,expr2,...)\", evaluating to the logical AND of 2 or more inner expressions expr1, expr2, ...;\n\n\"|(expr1,expr2,...)\", evaluating to the logical OR of 2 or more inner expressions expr1, expr2, ...", "responses": { "class Solution:\n def parseBoolExpr(self, expression: str) -> bool:\n if expression == 'f':\n return False\n if expression == 't':\n return True\n if expression[0] == '!':\n return not self.parseBoolExpr(expression[2:-1])\n if expression[0] == '|':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if self.parseBoolExpr(expression[cursor:end_of_next]):\n return True\n cursor = end_of_next + 1\n return False\n if expression[0] == '&':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if not self.parseBoolExpr(expression[cursor:end_of_next]):\n return False\n cursor = end_of_next + 1\n return True\n \n def getNextExpr(self, expression, start):\n if expression[start] == '!' or expression[start] == '|' or expression[start] == '&':\n open_count = 1\n close_count = 0\n start += 1\n while open_count > close_count:\n start += 1\n if expression[start] == '(':\n open_count += 1\n if expression[start] == ')':\n close_count += 1\n \n return start + 1\n else:\n return start + 1": 1.0, "class Solution:\n def parseBoolExpr(self, expression: str) -> bool:\n if expression == 'false':\n return False\n if expression == 'true':\n return True\n if expression[0] == 'not':\n return !self.parseBoolExpr(expression[2:-1]) # syntax error \n if expression[0] == 'or':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if self.parseBoolExpr(expression[cursor:end_of_next]):\n return True\n cursor = end_of_next + 1\n return False\n if expressione[0] == 'and':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if not self.parseBoolExpr(expression[cursor:end_of_next]):\n return False\n cursor = end_of_next + 1\n return True\n \n def getNextExpres(self, expression, start):\n if expression[start] == 'not' or expression[start] == 'or' or expression[start] == 'and':\n open_count = 1\n close_count = 0\n start += 1\n while open_count > close_count:\n start += 1\n if expression[start] == '(':\n open_count += 1\n if expression[start] == ')':\n close_count += 1\n \n return start + 1\n else:\n return start + 1": 0.0, "class Solution:\n def parseBoolExpr(self, expression: str) -> bool:\n if expression == 'f':\n return True # should be False\n if expression == 't':\n return False # should be True\n if expression[0] == '!':\n return not self.parseBoolExpr(expression[2:-1])\n if expression[0] == '|':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if self.parseBoolExpr(expression[cursor:end_of_next]):\n return False # should be True\n cursor = end_of_next + 1\n return False\n if expression[0] == '&':\n cursor = 2\n while cursor < len(expression)-1:\n end_of_next = self.getNextExpr(expression, cursor)\n if not self.parseBoolExpr(expression[cursor:end_of_next]):\n return True # should be False\n cursor = end_of_next + 1\n return True\n \n def getNextExpr(self, expression, start):\n if expression[start] == '!' or expression[start] == '|' or expression[start] == '&':\n open_count = 1\n close_count = 0\n start += 1\n while open_count > close_count:\n start += 1\n if expression[start] == '(':\n open_count += 1\n if expression[start] == ')':\n close_count += 1\n \n return start + 1\n else:\n return start + 1": 0.0, "class Solution:\n def parseBoolExpr(self, expression: str) -> bool:\n if expression == 'f':\n return False\n if expression == 't':\n return True\n if expression[0] == '!':\n return not self.parseBoolxpression(expression[2:-1]) # typo\n if expression[0] == '|':\n cursor = 2\n while cursort < len(expression)-1: # typo\n end_of_next = self.getNextExpr(expression, cursor)\n if self.parseBoolExpr(expression[cursor:end_of_next]):\n return True\n cursor = end_of_next + 1\n return False\n if expression[0] == '&':\n cursor = 2\n while cursor < len(expressionn)-1: # typo\n end_of_next = self.getNextExpr(expression, cursor)\n if not self.parseBoolExpr(expression[cursor:end_of_next]):\n return False\n cursor = end_of_next + 1\n return True\n \n def getNextExpr(self, expression, start):\n if expression[start] == '!' or expression[start] == '|' or expression[start] == '&':\n open_count = 1\n close_count = 0\n start += 1\n while open_count > close_count:\n start += 1\n if expression[start] == '(':\n open_count += 1\n if expression[start] == ')':\n close_count += 1\n \n return start + 1\n else:\n returnt start + 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nReturn the result of evaluating a given boolean expression, represented as a string.\n\nAn expression can either be:\n\n\n\n\"t\", evaluating to True;\n\n\"f\", evaluating to False;\n\n\"!(expr)\", evaluating to the logical NOT of the inner expression expr;\n\n\"&(expr1,expr2,...)\", evaluating to the logical AND of 2 or more inner expressions expr1, expr2, ...;\n\n\"|(expr1,expr2,...)\", evaluating to the logical OR of 2 or more inner expressions expr1, expr2, ...\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Stepan likes to repeat vowel letters when he writes words. For example, instead of the word \"pobeda\" he can write \"pobeeeedaaaaa\".\n\n\n\nSergey does not like such behavior, so he wants to write a program to format the words written by Stepan. This program must combine all consecutive equal vowels to a single vowel. The vowel letters are \"a\", \"e\", \"i\", \"o\", \"u\" and \"y\".\n\n\n\nThere are exceptions: if letters \"e\" or \"o\" repeat in a row exactly 2 times, like in words \"feet\" and \"foot\", the program must skip them and do not transform in one vowel. For example, the word \"iiiimpleeemeentatiioon\" must be converted to the word \"implemeentatioon\".\n\n\n\nSergey is very busy and asks you to help him and write the required program.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the integer n (1 \u2264 n \u2264 100 000) \u2014 the number of letters in the word written by Stepan.\n\n\n\nThe second line contains the string s which has length that equals to n and contains only lowercase English letters \u2014 the word written by Stepan.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the single string \u2014 the word written by Stepan converted according to the rules described in the statement.", "responses": { "bad = ['e', 'a', 'i', 'o', 'u', 'y']\nn = int(input())\ns = input()\nans = ''\ni = 0\nwhile i != len(s):\n if s[i] in bad:\n letter = s[i]\n pos = i\n while i != len(s) and letter == s[i]:\n i += 1\n if i - pos == 2 and letter in ['e', 'o']:\n ans += 2 * letter\n else:\n ans += letter\n else:\n ans += s[i]\n i += 1\nprint(ans)": 1.0, "bad = ['e', 'a', 'i', 'o', 'u', 'y']\nn = int(input())\ns = input()\nans = ''\ni = \nwhile i != len(s):\n if s[i] in bad:\n letter = s[i]\n pos = i\n while i != len(s) and letter == s[i]:\n i += 1\n if i - pos == 2 and letter in ['e', 'o']:\n ans += 2 * letter\n else:\n ans += letter\n else:\n ans += s[i]\n i += 1\nprint(ans)": 0.0, "bad = ['e', 'a', 'i', 'o', 'u', 'y']\nn = int(input())\ns = input()\nans = ''\ni = 0\nwhile i != len(s):\n if s[i] in bad:\n letter = s[i]\n pos = i\n while i != len(s) and letter == s[i]:\n i ++\n if i - pos == 2 and letter in ['e', 'o']:\n ans += 2 * letter\n else:\n ans += letter\n else:\n ans += s[i]\n i += 1\nprint(ans)": 0.0, "bad = ['e', 'a', 'i', 'o', 'u', 'y']\nn = int(input())\ns = input()\nans = ''\ni = 0\nwhile i != len(s):\n if s[i] in bad:\n letter = s[i]\n pos = i\n while i != len(s) and letter == s[i]:\n i += 1\n if i - pos = 2 and letter in ['e', 'o']:\n ans += 2 * letter\n else:\n ans += letter\n else:\n ans += s[i]\n i += 1\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nStepan likes to repeat vowel letters when he writes words. For example, instead of the word \"pobeda\" he can write \"pobeeeedaaaaa\".\n\n\n\nSergey does not like such behavior, so he wants to write a program to format the words written by Stepan. This program must combine all consecutive equal vowels to a single vowel. The vowel letters are \"a\", \"e\", \"i\", \"o\", \"u\" and \"y\".\n\n\n\nThere are exceptions: if letters \"e\" or \"o\" repeat in a row exactly 2 times, like in words \"feet\" and \"foot\", the program must skip them and do not transform in one vowel. For example, the word \"iiiimpleeemeentatiioon\" must be converted to the word \"implemeentatioon\".\n\n\n\nSergey is very busy and asks you to help him and write the required program.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the integer n (1 \u2264 n \u2264 100 000) \u2014 the number of letters in the word written by Stepan.\n\n\n\nThe second line contains the string s which has length that equals to n and contains only lowercase English letters \u2014 the word written by Stepan.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the single string \u2014 the word written by Stepan converted according to the rules described in the statement.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "This is the simple version of [Fastest Code : Equal to 24](http://www.codewars.com/kata/574e890e296e412a0400149c). \n\n\n\n## Task\n\n\n\nA game I played when I was young: Draw 4 cards from playing cards, use ```+ - * / and ()``` to make the final results equal to 24.\n\n\n\nYou will coding in function ```equalTo24```. Function accept 4 parameters ```a b c d```(4 cards), value range is 1-13.\n\n\n\nThe result is a string such as ```\"2*2*2*3\"``` ,```(4+2)*(5-1)```; If it is not possible to calculate the 24, please return \"It's not possible!\"\n\n\n\nAll four cards are to be used, only use three or two cards are incorrect; Use a card twice or more is incorrect too.\n\n\n\nYou just need to return one correct solution, don't need to find out all the possibilities.\n\n\n\n## Examples", "responses": { "from itertools import permutations\ndef equal_to_24(*aceg):\n ops = '+-*/'\n \n for b in ops:\n for d in ops:\n for f in ops:\n for (a,c,e,g) in permutations(aceg):\n for s in make_string(a,b,c,d,e,f,g):\n try:\n if eval(s + '== 24'):\n return s\n except:\n pass\n \n return \"It's not possible!\"\ndef make_string(a,b,c,d,e,f,g):\n return [f\"(({a} {b} {c}) {d} {e}) {f} {g}\",\n f\"({a} {b} {c}) {d} ({e} {f} {g})\",\n f\"{a} {b} ({c} {d} ({e} {f} {g}))\"]": 1.0, "from itertools import permutations\ndef equal_to_24(*aceg):\n ops = '+-*/'\n \n for b in ops:\n for d in ops:\n for f in ops:\n for (a,c,e,g) in permutations(aceg):\n for s in make_string(a,b,c,d,e,f,g):\n try:\n if eval(s + '== 14'): # Changed the value to 14\n return s\n except:\n pass\n \n return \"It's not possible!\"\ndef make_string(a,b,c,d,e,f,g):\n return [f\"(({a} {b} {c}) {d} {e}) {f} {g}\",\n f\"({a} {b} {c}) {d} ({e} {f} {g}))\",\n f\"{a} {b} ({c} {d} ({e} {f} {g}))\"]": 0.0, "from itertools import permutations\ndef equal_to_24(*aceg):\n ops = '+-*/'\n \n for b in ops:\n for d in ops:\n for f in ops:\n for (a,c,e,g) in permutations(aceg):\n for s in make_string(a,b,c,d,e,f,g):\n try:\n if eval(s * '== 24'): # Changed the operator from '+' to '*'\n return s\n except:\n pass\n \n return \"It's not possible!\"\ndef make_string(a,b,c,d,e,f,g):\n return [f\"(({a} {b} {c}) {d} {e}) {f} {g}\",\n f\"({a} {b} {c}) {d} ({e} {f} {g}))\",\n f\"{a} {b} ({c} {d} ({e} {f} {g}))\"]": 0.0, "from itertools import permutations\ndef equal_to_24(*aceg):\n ops = '+-*/'\n \n for b in ops:\n for d in ops:\n for f in ops:\n for (a,c,e,g) in permutations(aceg):\n for s in make_string(a,b,c,d,e,f,g):\n try:\n if eval(s + ' = 24'): # Changed the comparison operator from '==' to '='\n return s\n except:\n pass\n \n return \"It's not possible!\"\ndef make_string(a,b,c,d,e,f,g):\n return [f\"(({a} {b} {c}) {d} {e}) {f} {g}\",\n f\"({a} {b} {c}) {d} ({e} {f} {g}))\",\n f\"{a} {b} ({c} {d} ({e} {f} {g}))\"]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThis is the simple version of [Fastest Code : Equal to 24](http://www.codewars.com/kata/574e890e296e412a0400149c). \n\n\n\n## Task\n\n\n\nA game I played when I was young: Draw 4 cards from playing cards, use ```+ - * / and ()``` to make the final results equal to 24.\n\n\n\nYou will coding in function ```equalTo24```. Function accept 4 parameters ```a b c d```(4 cards), value range is 1-13.\n\n\n\nThe result is a string such as ```\"2*2*2*3\"``` ,```(4+2)*(5-1)```; If it is not possible to calculate the 24, please return \"It's not possible!\"\n\n\n\nAll four cards are to be used, only use three or two cards are incorrect; Use a card twice or more is incorrect too.\n\n\n\nYou just need to return one correct solution, don't need to find out all the possibilities.\n\n\n\n## Examples\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alice and Bob take turns playing a game, with Alice starting first.\n\nInitially, there are n stones in a pile.\u00a0 On each player's turn, that player makes a\u00a0move\u00a0consisting of removing any non-zero square number of stones in the pile.\n\nAlso, if a player cannot make a move, he/she loses the game.\n\nGiven a positive\u00a0integer n.\u00a0Return\u00a0True\u00a0if and only if Alice wins the game otherwise return False, assuming both players play optimally.", "responses": { "import math\nclass Solution:\n def winnerSquareGame(self, n: int) -> bool:\n dp: List[int] = [0] * (n+1)\n candidates: List[int] = []\n for j in range(1, int(math.sqrt(n))+1):\n candidates.append(j*j)\n for i in range(n):\n if not dp[i]:\n for can in candidates:\n if i + can < n:\n dp[i+can] = 1\n elif i + can == n:\n return 1\n return dp[-1]": 1.0, "import math\nclass Solution:\n def winnerSquareGame(self, n: int) -> bool:\n dp: List[int] = [0] * (n+1)\n candidates: List[int] = []\n for j in range(1, int(math.sqrt(n))+1):\n candidates.append(j*j)\n for i in range(n):\n if not dp[i]:\n for can in candidates:\n if i + can < n:\n dp[i-can] = 1 # Bug: Subtracting instead of adding\n elif i + can == n:\n return 1\n return dp[-1]": 0.0, "import math\nclass Solution:\n def winnerSquareGame(self, n: int) -> bool:\n dp: List[int] = [0] * (n+1)\n candidates: List[int] = []\n for j in range(1, int(math.sqrt(n))+1):\n candidates.append(j*j)\n for i in range(n):\n if not dp[i]:\n for can in candidates:\n if i + can < n:\n dp[i+can] = 1\n elif i - can == n: # Bug: Using subtraction instead of equality check\n return 1\n return dp[-1]": 0.0, "import math\nclass Solution:\n def winnerSquareGame(self, n: int) -> bool:\n dp: List[int] = [0] * (n+1)\n candidates: List[int] = []\n for j in range(1, int(math.sqrt(n))+1):\n candidates.append(j*j)\n for i in range(n):\n if not dp[i]:\n for can in candidates:\n if i + can < n:\n dp[i+can] = 1\n elif i + can == n:\n return 0 # Bug: Returning 0 instead of 1\n return dp[-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlice and Bob take turns playing a game, with Alice starting first.\n\nInitially, there are n stones in a pile.\u00a0 On each player's turn, that player makes a\u00a0move\u00a0consisting of removing any non-zero square number of stones in the pile.\n\nAlso, if a player cannot make a move, he/she loses the game.\n\nGiven a positive\u00a0integer n.\u00a0Return\u00a0True\u00a0if and only if Alice wins the game otherwise return False, assuming both players play optimally.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two integer arrays nums1 and nums2 sorted in ascending order and an integer k. \n\n\n\n\n\nDefine a pair (u,v) which consists of one element from the first array and one element from the second array.\n\n\n\nFind the k pairs (u1,v1),(u2,v2) ...(uk,vk) with the smallest sums.", "responses": { "from heapq import heappush, heappop\n \n class Solution:\n def kSmallestPairs(self, nums1, nums2, k):\n \"\"\"\n :type nums1: List[int]\n :type nums2: List[int]\n :type k: int\n :rtype: List[List[int]]\n \"\"\"\n heap = []\n def push(i, j):\n if i < len(nums1) and j < len(nums2):\n heappush(heap, (nums1[i] + nums2[j], i, j))\n push(0,0)\n res = []\n while heap and len(res) < k:\n _, i, j = heappop(heap)\n res.append([nums1[i], nums2[j]])\n push(i, j+1)\n if j == 0:\n push(i+1, 0)\n return res": 1.0, "from heapq import heappush, heappop\n \nclass Solution:\n def kSmallestPairs(self, nums1, nums2, k):\n heap = []\n def push(i, j):\n if i < len(nums1) and j < len(nums2)\n heappush(heap, (nums1[i] + nums2[j], i, j))\n push(0,0)\n res = []\n while heap and len(res) < k:\n _, i, j = heappop(heap)\n res.append([nums1[i], nums2[j]])\n push(i, j+1)\n if j == 0:\n push(i+1, 0)\n return res": 0.0, "from heapq import heappush, heappop\n \nclass Solution:\n def kSmallestPairs(self, nums1, nums2, k):\n heap = []\n def push(i, j):\n if i < len(nums1) && j < len(nums2):\n heappush(heap, (nums1[i] + nums2[j], i, j))\n push(0,0)\n res = []\n while heap and len(res) < k:\n _, i, j = heappop(heap)\n res.append([nums1[i], nums2[j]])\n push(i, j+1)\n if j == 0:\n push(i+1, 0)\n return res": 0.0, "from heapq import heappush, heappop\n \nclass Solution:\n def kSmallestPairs(self, nums1, nums2, k):\n heap = []\n def push(i, j):\n if i < len(nums1) or j < len(nums2):\n heappush(heap, (nums1[i] + nums2[j], i, j))\n push(0,0)\n res = []\n while heap and len(res) < k:\n _, i, j = heappop(heap)\n res.append([nums1[i], nums2[j]])\n push(i, j+1)\n if j == 0:\n push(i+1, 0)\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two integer arrays nums1 and nums2 sorted in ascending order and an integer k. \n\n\n\n\n\nDefine a pair (u,v) which consists of one element from the first array and one element from the second array.\n\n\n\nFind the k pairs (u1,v1),(u2,v2) ...(uk,vk) with the smallest sums.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string of integers, count how many times that integer repeats itself, then return a string showing the count and the integer.\n\n\n\n\n\nExample: `countMe('1123')` (`count_me` in Ruby)\n\n\n\n- Here 1 comes twice so `` will be `\"21\"`\n\n- then 2 comes once so `` will be `\"12\"`\n\n- then 3 comes once so `` will be `\"13\"`\n\n\n\nhence output string will be `\"211213\"`.\n\n\n\n\n\nSimilarly `countMe('211213')` will return `'1221121113'`\n\n(1 time 2, 2 times 1, 1 time 2, 1 time 1, 1 time 3)\n\n\n\n\n\nReturn `\"\"` for empty, nil or non numeric strings", "responses": { "def count_me(data):\n if not data.isdigit():\n return ''\n \n result = []\n count = 1\n last = data[0]\n \n for char in data[1:]:\n if char == last:\n count += 1\n else:\n result.append(str(count) + last)\n last = char\n count = 1\n \n result.append(str(count) + last)\n \n return ''.join(result)": 1.0, "def count_me(data):\n result = []\n count = 1\n last = data[0]\n \n for char in data[1:]:\n if char == last:\n count += 1\n else:\n result.append(str(count) + last)\n last = char\n count = 1\n \n result.append(str(count) + last)\n \n return ''.join(result)": 0.0, "def count_me(data):\n if not data.isdigit():\n return None\n \n result = []\n count = 1\n last = data[0]\n \n for char in data[1:]:\n if char == last:\n count += 1\n else:\n result.append(str(count) + last)\n last = char\n count = 1\n \n result.append(str(count) + last)\n \n return ''.join(result)": 0.0, "def count_me(data):\n if not data.isdigit():\n return ''\n \n result = []\n count = 1\n last = data[0]\n \n for char in data[1:]:\n if char == last:\n count += 2 # Intentionally adding 2 instead of 1\n else:\n result.append(str(count) + last)\n last = char\n count = 1\n \n result.append(str(count) + last)\n \n return ''.join(result)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string of integers, count how many times that integer repeats itself, then return a string showing the count and the integer.\n\n\n\n\n\nExample: `countMe('1123')` (`count_me` in Ruby)\n\n\n\n- Here 1 comes twice so `` will be `\"21\"`\n\n- then 2 comes once so `` will be `\"12\"`\n\n- then 3 comes once so `` will be `\"13\"`\n\n\n\nhence output string will be `\"211213\"`.\n\n\n\n\n\nSimilarly `countMe('211213')` will return `'1221121113'`\n\n(1 time 2, 2 times 1, 1 time 2, 1 time 1, 1 time 3)\n\n\n\n\n\nReturn `\"\"` for empty, nil or non numeric strings\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have a set of items: the i-th item has value values[i] and label labels[i].\n\nThen, we choose\u00a0a subset S of these items, such that:\n\n\n\n|S| <= num_wanted\n\nFor every label L, the number of items in S with\u00a0label L is <= use_limit.\n\n\n\nReturn the largest possible sum of the subset S.", "responses": { "class Solution:\n def largestValsFromLabels(self, values: List[int], labels: List[int], num_wanted: int, use_limit: int) -> int:\n \n \n \n # my solution ... 128 ms ... 99 % ... 17.9 MB ... 85 %\n # time: O(nlogn)\n # space: O(n)\n \n l2v = collections.defaultdict(list)\n for v,l in zip(values, labels):\n l2v[l].append(v)\n pool = []\n for l in l2v:\n pool += sorted(l2v[l])[-use_limit:]\n return sum(sorted(pool)[-num_wanted:])\n \n ": 1.0, "class Solution:\n def largestValsFromLabels(self, values: List[int], labels: List[int], num_wanted: int, use_limit: int) -> int:\n l2v = collections.defaultdict(list)\n for v,l in zip(values, labels):\n l2v[l].append(v)\n pool = []\n for l in l2v:\n pool += sorted(l2v[l])[-use_limit:]\n return sum(sorted(pool)[-num_wanted:]": 0.0, "class Solution:\n def largestValsFromLabels(self, values: List[int], labels: List[int], num_wanted: int, use_limit: int) -> int:\n l2v = collections.defaultdict(list)\n for v,l in zip(values, labels):\n l2v[l].append(v)\n pool = []\n for l in l2v:\n pool += sorted(l2v[l])[-use_limit:]\n return sum(sorted(pool)[-num_wanted:])": 0.0, "class Solution:\n def largestValsFromLabels(self, values: List[int], labels: List[int], num_wanted: int, use_limit: int) -> int:\n l2v = collections.defaultdict(list)\n for v,l in zip(values, labels):\n l2v[l].append(v)\n pool = []\n for l in l2v:\n pool += sorted(l2v[l])[-use_limit:]\n return sum(sorted(pool)[-num_wanted:])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a set of items: the i-th item has value values[i] and label labels[i].\n\nThen, we choose\u00a0a subset S of these items, such that:\n\n\n\n|S| <= num_wanted\n\nFor every label L, the number of items in S with\u00a0label L is <= use_limit.\n\n\n\nReturn the largest possible sum of the subset S.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary tree, return the zigzag level order traversal of its nodes' values. (ie, from left to right, then right to left for the next level and alternate between).\n\n\n\n\n\nFor example:\n\nGiven binary tree [3,9,20,null,null,15,7],\n\n\n\n 3\n\n / \\\n\n 9 20\n\n / \\\n\n 15 7\n\n\n\n\n\n\n\nreturn its zigzag level order traversal as:\n\n\n\n[\n\n [3],\n\n [20,9],\n\n [15,7]\n\n]", "responses": { " # class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def zigzagLevelOrder(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: List[List[int]]\n \"\"\"\n if root is None:\n return []\n \n res = []\n level_num = 1\n level = [root]\n \n \n while len(level) != 0:\n level_size = len(level)\n level_res = [None]*level_size\n for i in range(level_size):\n curr = level.pop(0)\n level_res[i] = curr.val\n if curr.left is not None:\n level.append(curr.left)\n if curr.right is not None:\n level.append(curr.right)\n if level_num % 2:\n res.append(level_res)\n else:\n level_res.reverse()\n res.append(level_res)\n level_num += 1\n \n return res\n \n \n \n ": 1.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def zigzagLevelOrder(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: List[List[int]]\n \"\"\"\n if root is None:\n return []\n \n res = []\n level_num = 1\n level = [root]\n \n \n while len(level) != 0:\n level_size = len(level)\n level_res = [None]*level_size\n for i in range(level_size):\n curr = level.pop(0)\n level_res[i] = curr.val\n if curr.left is not None:\n level.append(curr.left)\n if curr.right is not None:\n level.append(curr.right)\n if level_num % 2:\n res.append(level_res)\n else:\n level_res.reverse()\n res.appen(level_res) # Bug: misspelled \"append\" as \"appen\"\n level_num += 1\n \n return res": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def zigzagLevelOrder(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: List[List[int]]\n \"\"\"\n if root is None:\n return []\n \n res = []\n level_num = 1\n level = [root]\n \n \n while len(level) != 0:\n level_size = len(level)\n level_res = [None]*level_size\n for i in range(level_size):\n curr = level.pop()[0] # Bug: trying to get index 0 instead of using pop(0)\n level_res[i] = curr.val\n if curr.left is not None:\n level.append(curr.left)\n if curr.right is not None:\n level.append(curr.right)\n if level_num % 2:\n res.append(level_res)\n else:\n level_res.reverse()\n res.append(level_res)\n level_num += 1\n \n return res": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def zigzagLevelOrder(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: List[List[int]]\n \"\"\"\n if root is None:\n return []\n \n res = []\n level_num = 1\n level = [root]\n \n \n while len(level) != 0:\n level_size = len(level)\n level_res = [None]*level_size\n for i in range(level_size):\n curr = level.pop(0)\n level_res[i] = curr.val\n if curr.left is not None:\n level.append(curr.left)\n if curr.right is not None:\n level.append(curr.right)\n if level_num % 2:\n res.appe(level_res) # Bug: misspelled \"append\" as \"appe\"\n else:\n level_res.reverse()\n res.append(level_res)\n level_num += 1\n \n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary tree, return the zigzag level order traversal of its nodes' values. (ie, from left to right, then right to left for the next level and alternate between).\n\n\n\n\n\nFor example:\n\nGiven binary tree [3,9,20,null,null,15,7],\n\n\n\n 3\n\n / \\\n\n 9 20\n\n / \\\n\n 15 7\n\n\n\n\n\n\n\nreturn its zigzag level order traversal as:\n\n\n\n[\n\n [3],\n\n [20,9],\n\n [15,7]\n\n]\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Master Shifu is training Po to become The Dragon Warrior and as a final assignment he must obtain maximum deliciousness from dumplings. There are $N$ plates of dumplings in front of him with deliciousness $A_1, A_2, \\ldots, A_N$, Po can choose any number of continuous plates of dumplings. The total deliciousness is the sum of deliciousness of all the chosen dumplings.\n\nWhat is the minimum number of plates he must choose so that total deliciousness is maximum possible?\n\nNote: Po must choose atleast one plate.\n\n\n\n-----Input:-----\n\n- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.\n\n- The first line of each test case contains a single integer $N$.\n\n- The second line contains $N$ space-separated integers $A_1, A_2, \\ldots, A_N$.\n\n\n\n-----Output:-----\n\nFor each test case, print a single line containing one integer.\n\n\n\n-----Constraints-----\n\n- $1 \\le T \\le 10$\n\n- $1 \\le N \\le 2 \\cdot 10^5$\n\n- $0 \\le A_i \\le 10^9$\n\n\n\n-----Sample Input:-----\n\n2\n\n4\n\n1 2 3 4\n\n5\n\n3 2 0 3 0\n\n\n\n-----Sample Output:-----\n\n4\n\n4", "responses": { "N=int(input())\nfor _ in range(N):\n n=int(input())\n arr=list(map(int,input().split()))[:n]\n count=0\n last=0\n for i in range(n):\n if(arr[i]!=0):\n break\n last=i\n count+=1\n for i in arr[-1:last:-1]:\n if(i!=0):\n break\n count+=1\n ans=n-count\n if(ans==0):\n print(1)\n else:\n print(ans)": 1.0, "N=int(input())\nfor _ in range(N):\n n=int(input())\n arr=list(map(int,input().split()))[:n]\n count=0\n last=0\n for i in range(n):\n if(arr[i]!=0):\n break\n last=i\n count+=1\n for i in arr[-1:last:-1]:\n if(i!=0):\n break\n count+=1\n ans=n-count\n if(ans==0):\n print(1)\n else:\n print(ans": 0.0, "N=int(input())\nfor _ in range(N):\n n=int(input())\n arr=list(map(int,input().split()))[:n]\n count=0\n last=0\n for i in range(n):\n if(arr[i]!=0)\n break\n last=i\n count+=1\n for i in arr[-1:last:-1]:\n if(i!=0):\n break\n count+=1\n ans=n-count\n if(ans==0):\n print(1)\n else:\n print(ans)": 0.0, "N=int(input()\nfor _ in range(N):\n n=int(input())\n arr=list(map(int,input().spli()))[:n]\n count=0\n last=0\n for i in range(n):\n if(arr[i]!=0):\n break\n last=i\n count+=1\n for i in arr[-1:last:-1]:\n if(i!=0):\n break\n count+=1\n ans=n-count\n if(ans==0):\n print(1)\n else:\n print(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nMaster Shifu is training Po to become The Dragon Warrior and as a final assignment he must obtain maximum deliciousness from dumplings. There are $N$ plates of dumplings in front of him with deliciousness $A_1, A_2, \\ldots, A_N$, Po can choose any number of continuous plates of dumplings. The total deliciousness is the sum of deliciousness of all the chosen dumplings.\n\nWhat is the minimum number of plates he must choose so that total deliciousness is maximum possible?\n\nNote: Po must choose atleast one plate.\n\n\n\n-----Input:-----\n\n- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.\n\n- The first line of each test case contains a single integer $N$.\n\n- The second line contains $N$ space-separated integers $A_1, A_2, \\ldots, A_N$.\n\n\n\n-----Output:-----\n\nFor each test case, print a single line containing one integer.\n\n\n\n-----Constraints-----\n\n- $1 \\le T \\le 10$\n\n- $1 \\le N \\le 2 \\cdot 10^5$\n\n- $0 \\le A_i \\le 10^9$\n\n\n\n-----Sample Input:-----\n\n2\n\n4\n\n1 2 3 4\n\n5\n\n3 2 0 3 0\n\n\n\n-----Sample Output:-----\n\n4\n\n4\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Define a function that takes one integer argument and returns logical value `true` or `false` depending on if the integer is a prime.\n\n\n\nPer Wikipedia, a prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\n\n\n## Requirements\n\n\n\n* You can assume you will be given an integer input.\n\n* You can not assume that the integer will be only positive. You may be given negative numbers as well (or `0`).\n\n* **NOTE on performance**: There are no fancy optimizations required, but still *the* most trivial solutions might time out. Numbers go up to 2^31 (or similar, depends on language version). Looping all the way up to `n`, or `n/2`, will be too slow.\n\n\n\n## Example\n\n```nasm \n\nmov edi, 1\n\ncall is_prime ; EAX <- 0 (false)\n\n\n\nmov edi, 2\n\ncall is_prime ; EAX <- 1 (true)\n\n\n\nmov edi, -1\n\ncall is_prime ; EAX <- 0 (false)\n\n```", "responses": { "import random\ndef even_odd(n):\n s, d = 0, n\n while d % 2 == 0:\n s += 1\n d >>= 1\n return s, d\ndef Miller_Rabin(a, p):\n s, d = even_odd(p-1)\n a = pow(a, d, p)\n if a == 1: return True\n for i in range(s):\n if a == p-1: return True\n a = pow(a, 2, p)\n return False\ndef is_prime(p):\n if p == 2: return True\n if p <= 1 or p % 2 == 0: return False\n return all(Miller_Rabin(random.randint(2,p-1),p) for _ in range(40))": 1.0, "import random\ndef even_odd(n):\n s, d = 0, n\n while d % 2 == 0:\n s += 1\n d >>= 1\n return s, d\ndef Miller_Rabin(a, p):\n s, d = even_odd(p-1)\n a = pow(a, d, p)\n if a == 1: return True\n for i in range(s):\n if a == p-1: return True\n a = pow(a, 2, p)\n return False\ndef is_prime(p):\n if p < 2: return True\n if p <= 1 or p % 2 == 0: return False\n return all(Miller_Rabin(random.randint(2,p-1),p) for _ in range(40))": 0.0, "import random\ndef even_odd(n):\n s, d = 0, n\n while d % 2 == 0:\n s += 1\n return s, d\ndef Miller_Rabin(a, p):\n s, d = even_odd(p-1)\n a = pow(a, d, p)\n if a == 1: return True\n for i in range(s):\n if a == p-1: return True\n a = pow(a, 2, p)\n return False\ndef is_prime(p):\n if p == 2: return True\n if p <= 1 or p % 2 == 0: return False\n return all(Miller_Rabin(random.randint(2,p-1),p) for _ in range(40))": 0.0, "import random\ndef even_odd(n):\n s, d = 0, n\n while d % 2 == 0:\n s += 1\n d //= 1\n return s, d\ndef Miller_Rabin(a, p):\n s, d = even_odd(p-1)\n a = pow(a, d, p)\n if a == 1: return True\n for i in range(s):\n if a == p-1: return True\n a = pow(a, 2, p)\n return False\ndef is_prime(p):\n if p == 2: return True\n if p <= 1 or p % 2 == 0: return False\n return all(Miller_Rabin(random.randint(2,p-1),p) for _ in range(40))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDefine a function that takes one integer argument and returns logical value `true` or `false` depending on if the integer is a prime.\n\n\n\nPer Wikipedia, a prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\n\n\n## Requirements\n\n\n\n* You can assume you will be given an integer input.\n\n* You can not assume that the integer will be only positive. You may be given negative numbers as well (or `0`).\n\n* **NOTE on performance**: There are no fancy optimizations required, but still *the* most trivial solutions might time out. Numbers go up to 2^31 (or similar, depends on language version). Looping all the way up to `n`, or `n/2`, will be too slow.\n\n\n\n## Example\n\n```nasm \n\nmov edi, 1\n\ncall is_prime ; EAX <- 0 (false)\n\n\n\nmov edi, 2\n\ncall is_prime ; EAX <- 1 (true)\n\n\n\nmov edi, -1\n\ncall is_prime ; EAX <- 0 (false)\n\n```\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:\n\n\n\n\n\n Integers in each row are sorted from left to right.\n\n The first integer of each row is greater than the last integer of the previous row.", "responses": { "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n if not matrix or target is None:\n return False\n \n rows, cols = len(matrix), len(matrix[0])\n low, high = 0, rows * cols - 1\n \n while low <= high:\n mid = (low + high) // 2\n num = matrix[mid // cols][mid % cols]\n \n if num == target:\n return True\n elif num < target:\n low = mid + 1\n else:\n high = mid - 1\n \n return False": 1.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n if matrix is None or target is None:\n return False\n \n rows, cols = len(matrix), len(matrix[0])\n low, high = 0, rows * cols - 1\n \n while low <= high:\n mid = (low + high) // 2\n num = matrix[mid // cols][mid % cols]\n \n if num == target:\n return True\n elif num < target:\n low = mid + 1\n else:\n high = mid - 1\n \n return False": 0.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n if not matrix or target is None:\n return False\n \n rows, cols = len(matrix), len(matrix[0])\n low, high = 0, rows * cols\n \n while low < high:\n mid = (low + high) // 2\n num = matrix[mid // cols][mid % cols]\n \n if num == target:\n return True\n elif num < target:\n low = mid + 1\n else:\n high = mid - 1\n \n return False": 0.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n if not matrix or target is None:\n return True\n \n rows, cols = len(matrix), len(matrix[0])\n low, high = 0, rows * cols - 1\n \n while low <= high:\n mid = (low + high) // 2\n num = matrix[mid // cols][mid % cols]\n \n if num == target:\n return True\n elif num < target:\n low = mid + 1\n else:\n high = mid - 1\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:\n\n\n\n\n\n Integers in each row are sorted from left to right.\n\n The first integer of each row is greater than the last integer of the previous row.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given 2 integers $u$ and $v$, find the shortest array such that bitwise-xor of its elements is $u$, and the sum of its elements is $v$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains 2 integers $u$ and $v$ $(0 \\le u,v \\le 10^{18})$.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there's no array that satisfies the condition, print \"-1\". Otherwise:\n\n\n\nThe first line should contain one integer, $n$, representing the length of the desired array. The next line should contain $n$ positive integers, the array itself. If there are multiple possible answers, print any.", "responses": { "u, v = list(map(int, input().split()))\nif v < u or (v - u) % 2 != 0:\n print(-1)\nelse:\n if u == v:\n if u == 0:\n print(0)\n else:\n print(\"1\\n\" + str(u))\n else:\n w = (v - u) // 2\n if (w | u) == (w + u):\n print(\"2\\n\" + str(w|u) + ' ' + str(w))\n else:\n print(\"3\\n\" + str(u) + ' ' + str(w) + ' ' + str(w))": 1.0, "u, v = list(map(int, input().split()))\nif v < u or (v - u) % 2 != 0:\n print(-1)\nelse:\n if u == v:\n if u == 0:\n print(0)\n else:\n print(\"1\\n\" + str(u))\n else:\n w = (v - u) // 2\n if (w | u) != (w + u):\n print(\"2\\n\" + str(w|u) + ' ' + str(w))\n else:\n print(\"3\\n\" + str(u) + ' ' + str(w) + ' ' + str(w))": 0.0, "u, v = list(map(int, input().split()))\nif v < u or (v - u) % 2 == 0:\n print(-1)\nelse:\n if u == v:\n if u == 0:\n print(0)\n else:\n print(\"1\\n\" + str(u))\n else:\n w = (v - u) // 2\n if (w | u) == (w + u):\n print(\"2\\n\" + str(w|u) + ' ' + str(w))\n else:\n print(\"3\\n\" + str(u) + ' ' + str(w) + ' ' + str(w))": 0.0, "u, v = list(map(int, input().split()))\nif v < u and (v - u) % 2 != 0:\n print(-1)\nelse:\n if u == v:\n if u == 0:\n print(0)\n else:\n print(\"1\\n\" + str(u))\n else:\n w = (v - u) // 2\n if (w | u) == (w + u):\n print(\"2\\n\" + str(w|u) + ' ' + str(w))\n else:\n print(\"3\\n\" + str(u) + ' ' + str(w) + ' ' + str(w))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven 2 integers $u$ and $v$, find the shortest array such that bitwise-xor of its elements is $u$, and the sum of its elements is $v$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains 2 integers $u$ and $v$ $(0 \\le u,v \\le 10^{18})$.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there's no array that satisfies the condition, print \"-1\". Otherwise:\n\n\n\nThe first line should contain one integer, $n$, representing the length of the desired array. The next line should contain $n$ positive integers, the array itself. If there are multiple possible answers, print any.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Three Best Friends $AMAN$ , $AKBAR$ , $ANTHONY$ are planning to go to \u201cGOA\u201d , but just like every other goa trip plan there is a problem to their plan too.\n\nTheir parents will only give permission if they can solve this problem for them\n\nThey are a given a number N and they have to calculate the total number of triplets (x ,y ,z)\n\nSatisfying the given condition y * x +z=n.\n\nFor ex if N=3\n\nThen there exist 3 triplets( x ,y ,z): (1,1,2) , (1,2,1) , (2,1,1) which satisfy the condition\n\nHelp the group to get permission for the trip\n\n\n\n-----Input:-----\n\n- First line will contain the number $N$.\n\n\n\n-----Output:-----\n\nthe possible number of triplets satisfying the given condition\n\n\n\n-----Constraints-----\n\n- $2 \\leq N \\leq 10^6$\n\n\n\n-----Sample Input:-----\n\n3\n\n\n\n-----Sample Output:-----\n\n3\n\n\n\n-----EXPLANATION:-----\n\nthere exist 3 triplets ( x ,y ,z): (1,1,2) , (1,2,1) , (2,1,1) which satisfy the condition", "responses": { "import sys\r\ndef get_array(): return list(map(int , sys.stdin.readline().strip().split()))\r\ndef get_ints(): return list(map(int, sys.stdin.readline().strip().split()))\r\ndef input(): return sys.stdin.readline().strip()\r\nimport sys\r\nsys.setrecursionlimit(10**9)\r\nfrom math import sqrt,ceil,floor\r\nn=int(input())\r\nco=0\r\nans=0\r\nfor i in range(1,n):\r\n ans+=n//i\r\n if n%i==0:\r\n ans-=1\r\nprint(ans)\r\n\r": 1.0, "import sys\r\ndef get_array(): return list(map(int , sys.stdin.readline().strip().split()))\r\ndef get_ints(): return list(map(int, sys.stdin.readline().strip().split()))\r\ndef input(): return sys.stdin.readline().strip()\r\nimport sys\r\nsys.setrecursionlimit(10**9)\r\nfrom math import sqrt,ceil,floor\r\nn=int(input())\r\nco=0\r\nans=0\r\nfor i in range(n):\r\n ans+=n//i\n if n%i==0:\r\n ans-=1\r\nprint(ans)": 0.0, "import sys\r\ndef get_array(): return list(map(int , sys.stdin.readline().strip().split()))\r\ndef get_ints(): return list(map(int, sys.stdin.readline().strip().split()))\r\ndef input(): return sys.stdin.readline().strip()\r\nimport sys\r\nsys.setrecursionlimit(10**9)\r\nfrom math import sqrt,ceil,floor\r\nn=int(input())\r\nco=0\r\nans=0\r\nfor i in range(1,n+1):\r\n ans+=n//i\r\n if n%i==0:\r\n ans-=1\r\nprint(ans)": 0.0, "import sys\r\ndef get_array(): return list(map(int , sys.stdin.readline().strip().split()))\r\ndef get_ints(): return list(map(int, sys.stdin.readline().strip().split()))\r\ndef input(): return sys.stdin.readline().strip()\r\nimport sys\r\nsys.setrecursionlimit(10**9)\r\nfrom math import sqrt,ceil,floor\r\nn=int(input())\r\nco=0\r\nans=0\r\nfor i in range(1,n):\r\n ans+=n*i\r\n if n*i==0:\r\n ans-=1\r\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThree Best Friends $AMAN$ , $AKBAR$ , $ANTHONY$ are planning to go to \u201cGOA\u201d , but just like every other goa trip plan there is a problem to their plan too.\n\nTheir parents will only give permission if they can solve this problem for them\n\nThey are a given a number N and they have to calculate the total number of triplets (x ,y ,z)\n\nSatisfying the given condition y * x +z=n.\n\nFor ex if N=3\n\nThen there exist 3 triplets( x ,y ,z): (1,1,2) , (1,2,1) , (2,1,1) which satisfy the condition\n\nHelp the group to get permission for the trip\n\n\n\n-----Input:-----\n\n- First line will contain the number $N$.\n\n\n\n-----Output:-----\n\nthe possible number of triplets satisfying the given condition\n\n\n\n-----Constraints-----\n\n- $2 \\leq N \\leq 10^6$\n\n\n\n-----Sample Input:-----\n\n3\n\n\n\n-----Sample Output:-----\n\n3\n\n\n\n-----EXPLANATION:-----\n\nthere exist 3 triplets ( x ,y ,z): (1,1,2) , (1,2,1) , (2,1,1) which satisfy the condition\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array a with n elements. Each element of a is either 0 or 1.\n\n\n\nLet's denote the length of the longest subsegment of consecutive elements in a, consisting of only numbers one, as f(a). You can change no more than k zeroes to ones to maximize f(a).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 n \u2264 3\u00b710^5, 0 \u2264 k \u2264 n) \u2014 the number of elements in a and the parameter k.\n\n\n\nThe second line contains n integers a_{i} (0 \u2264 a_{i} \u2264 1) \u2014 the elements of a.\n\n\n\n\n\n-----Output-----\n\n\n\nOn the first line print a non-negative integer z \u2014 the maximal value of f(a) after no more than k changes of zeroes to ones.\n\n\n\nOn the second line print n integers a_{j} \u2014 the elements of the array a after the changes.\n\n\n\nIf there are multiple answers, you can print any one of them.", "responses": { "try:\n while True:\n n, k = map(int, input().split())\n a = list(map(int, input().split()))\n left = 0\n result = -1\n cur = 0\n for i in range(n):\n if not a[i]:\n if k:\n k -= 1\n else:\n if i - left > result:\n res_left = left\n res_right = i\n result = i - left\n while left < i and a[left]:\n left += 1\n left += 1\n if i + 1 - left > result:\n res_left = left\n res_right = i + 1\n result = i + 1 - left\n print(result)\n for i in range(res_left):\n print(a[i], end=' ')\n for i in range(result):\n print(end=\"1 \")\n for i in range(res_right, n):\n print(a[i], end=' ')\n print()\nexcept EOFError:\n pass": 1.0, "try:\n while True:\n n, k = map(int, input().split())\n a = list(map(int, input().split()))\n left = 0\n result = -1\n cur = 0\n for i in range(n):\n if not a[i]:\n if k:\n k -= 1\n else:\n if i - left > result:\n res_left = left\n res_right = i\n result = i - left\n while left < i and a[left]:\n left += 1\n if i + 1 - left > result:\n res_left = left\n res_right = i + 1\n result = i + 1 - left\n print(result)\n for i in range(res_left):\n print(a[i], end=' ')\n for i in range(result):\n print(end=\"1 \")\n for i in range(res_right, n):\n print(a[i], end=' ')\n print()\nexcept EOFError:\n pass": 0.0, "try:\n while True:\n n, k = map(int, input().split())\n a = list(map(int, input().split()))\n left = 0\n result = -1\n cur = 0\n for i in range(n):\n if not a[i]:\n if k:\n k -= 1\n else:\n if i - left > result:\n res_left = left\n res_right = i\n result = i - left\n while left < i and a[left]:\n left += 1\n left -= 1\n if i + 1 - left > result:\n res_left = left\n res_right = i + 1\n result = i + 1 - left\n print(result)\n for i in range(res_left):\n print(a[i], end=' ')\n for i in range(result):\n print(end=\"1 \")\n for i in range(res_right, n):\n print(a[i], end=' ')\n print()\nexcept EOFError:\n pass": 0.0, "try:\n while True:\n n, k = map(int, input().split())\n a = list(map(int, input().split()))\n left = 0\n result = -1\n cur = 0\n for i in range(n):\n if not a[i]:\n if k:\n k -= 1\n else:\n if i - left > result:\n res_left = left\n res_right = i\n result = i - left\n while left < i and a[left]:\n left += 1\n if i - 1 - left > result:\n res_left = left\n res_right = i + 1\n result = i + 1 - left\n print(result)\n for i in range(res_left):\n print(a[i], end=' ')\n for i in range(result):\n print(end=\"1 \")\n for i in range(res_right, n):\n print(a[i], end=' ')\n print()\nexcept EOFError:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array a with n elements. Each element of a is either 0 or 1.\n\n\n\nLet's denote the length of the longest subsegment of consecutive elements in a, consisting of only numbers one, as f(a). You can change no more than k zeroes to ones to maximize f(a).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 n \u2264 3\u00b710^5, 0 \u2264 k \u2264 n) \u2014 the number of elements in a and the parameter k.\n\n\n\nThe second line contains n integers a_{i} (0 \u2264 a_{i} \u2264 1) \u2014 the elements of a.\n\n\n\n\n\n-----Output-----\n\n\n\nOn the first line print a non-negative integer z \u2014 the maximal value of f(a) after no more than k changes of zeroes to ones.\n\n\n\nOn the second line print n integers a_{j} \u2014 the elements of the array a after the changes.\n\n\n\nIf there are multiple answers, you can print any one of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Vasya has got an undirected graph consisting of $n$ vertices and $m$ edges. This graph doesn't contain any self-loops or multiple edges. Self-loop is an edge connecting a vertex to itself. Multiple edges are a pair of edges such that they connect the same pair of vertices. Since the graph is undirected, the pair of edges $(1, 2)$ and $(2, 1)$ is considered to be multiple edges. Isolated vertex of the graph is a vertex such that there is no edge connecting this vertex to any other vertex.\n\n\n\nVasya wants to know the minimum and maximum possible number of isolated vertices in an undirected graph consisting of $n$ vertices and $m$ edges. \n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $n$ and $m~(1 \\le n \\le 10^5, 0 \\le m \\le \\frac{n (n - 1)}{2})$.\n\n\n\nIt is guaranteed that there exists a graph without any self-loops or multiple edges with such number of vertices and edges.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the only line print two numbers $min$ and $max$ \u2014 the minimum and maximum number of isolated vertices, respectively.", "responses": { "n, m = map(int, input().split())\nif m == 0:\n\tprint(n, n)\n\treturn\nif m == n * (n - 1) // 2:\n\tprint(0, 0)\n\treturn\nL = 0\nR = n + 1\nwhile R - L > 1:\n\tm1 = (L + R) // 2\n\tif m1 * (m1 - 1) // 2 < m:\n\t\tL = m1\n\telse:\n\t\tR = m1\nans_max = n - R\nans_min = max(0, n - 2 * m)\nprint(ans_min, ans_max)": 1.0, "```python\nn, m == map(int, input().split())\nif m = 0:\n\tprint(n, n)\n\treturn\nif m = n * (n - 1) // 2:\n\tprint(0, 0)\n\treturn\nL = 0\nR = n + 1\nwhile R - L > 1:\n\tm1 = (L + R) // 2\n\tif m1 * (m1 - 1) // 2 < m:\n\t\tL = m1\n\telse:\n\t\tR = m1\nans_max = n - R\nans_min = max(0, n - 2 * m)\nprint(ans_min, ans_max)\n```": 0.0, "```python\nn, m = map(int, input().split())\nif m == 0:\n\tprint(n, n)\n\tcontinue\nif m == n * (n - 1) // 2:\n\tprint(0, 0)\n\treturn\nL = 0\nR = n + 1\nwhile R - L > 1:\n\tm1 = (L + R) // 2\n\tif m1 * (m1 - 1) // 2 < m:\n\t\tL = m1\n\telse:\n\t\tR = m1\nans_max = n - R\nans_min = max(0, n - 2 * m)\nprint(ans_min, ans_max)\n```": 0.0, "```python\nn, m = map(int, input().split())\nif m == 0:\n\tprint(n, n)\n\treturn\nif m == n * (n - 1) // 2\n\tprint(0, 0)\n\treturn\nL = 0\nR = n + 1\nwhile R - L > 1:\n\tm1 = (L + R) // 2\n\tif m1 * (m1 - 1) // 2 < m:\n\t\tL = m1\n\telse:\n\t\tR = m1\nans_max = n - R\nans_min = max(0, n - 2 * m)\nprint(ans_min, ans_max)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nVasya has got an undirected graph consisting of $n$ vertices and $m$ edges. This graph doesn't contain any self-loops or multiple edges. Self-loop is an edge connecting a vertex to itself. Multiple edges are a pair of edges such that they connect the same pair of vertices. Since the graph is undirected, the pair of edges $(1, 2)$ and $(2, 1)$ is considered to be multiple edges. Isolated vertex of the graph is a vertex such that there is no edge connecting this vertex to any other vertex.\n\n\n\nVasya wants to know the minimum and maximum possible number of isolated vertices in an undirected graph consisting of $n$ vertices and $m$ edges. \n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $n$ and $m~(1 \\le n \\le 10^5, 0 \\le m \\le \\frac{n (n - 1)}{2})$.\n\n\n\nIt is guaranteed that there exists a graph without any self-loops or multiple edges with such number of vertices and edges.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the only line print two numbers $min$ and $max$ \u2014 the minimum and maximum number of isolated vertices, respectively.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59.\n\n\n\nYou are given a time in format HH:MM that is currently displayed on the broken clock. Your goal is to change minimum number of digits in order to make clocks display the correct time in the given format.\n\n\n\nFor example, if 00:99 is displayed, it is enough to replace the second 9 with 3 in order to get 00:39 that is a correct time in 24-hours format. However, to make 00:99 correct in 12-hours format, one has to change at least two digits. Additionally to the first change one can replace the second 0 with 1 and obtain 01:39.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively.\n\n\n\nThe second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them.", "responses": { "n = int(input())\ns = input().split(':')\nif n == 12:\n if s[0] == '00':\n s[0] = '01'\n elif int(s[0]) > 12 and s[0][1] == '0':\n s[0] = '10'\n elif int(s[0]) > 12:\n s[0] = '0' + s[0][1]\nelse:\n if int(s[0]) > 23:\n s[0] = '0' + s[0][1]\nif int(s[1]) > 59:\n s[1] = '0' + s[1][1]\nprint(':'.join(s))": 1.0, "n = int(input())\ns = input().split(':')\nif n == 12:\n if s[0] == '00':\n s[0] = '01'\n elif int(s[0]) > 15 and s[0][1] == '0':\n s[0] = '10'\n elif int(s[0]) > 12:\n s[0] = '0' + s[0][1]\nelse:\n if int(s[0]) > 23:\n s[0] = '0' + s[0][1]\nif int(s[1]) > 59:\n s[1] = '0' + s[1][1]\nprint(':'.join(s))": 0.0, "n = int(input())\ns = input().split(':')\nif n == 12:\n if s[0] == '00':\n s[0] = '01'\n elif int(s[0]) > 12 and s[0][1] == '0':\n s[0] = '10'\n elif int(s[0]) > 12:\n s[0] = '0' + s[0][1]\nelse:\n if int(s[0]) > 23:\n s[0] = '0' + s[0][1]\nif int(s[1]) > 60:\n s[1] = '0' + s[1][1]\nprint(':'.join(s))": 0.0, "n = int(input())\ns = input().split(':')\nif n == 12:\n if s[0] == '00':\n s[0] = '01'\n elif int(s[0]) > 12 and s[0][1] == '0':\n s[0] = '10'\n elif int(s[0]) > 12:\n s[0] = '0' + s[0]\nelse:\n if int(s[0]) > 23:\n s[0] = '0' + s[0][1]\nif int(s[1]) > 59:\n s[1] = '0' + s[1][1]\nprint(':'.join(s))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59.\n\n\n\nYou are given a time in format HH:MM that is currently displayed on the broken clock. Your goal is to change minimum number of digits in order to make clocks display the correct time in the given format.\n\n\n\nFor example, if 00:99 is displayed, it is enough to replace the second 9 with 3 in order to get 00:39 that is a correct time in 24-hours format. However, to make 00:99 correct in 12-hours format, one has to change at least two digits. Additionally to the first change one can replace the second 0 with 1 and obtain 01:39.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively.\n\n\n\nThe second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are some beautiful girls in Arpa\u2019s land as mentioned before.\n\n\n\nOnce Arpa came up with an obvious problem:\n\n\n\nGiven an array and a number x, count the number of pairs of indices i, j (1 \u2264 i < j \u2264 n) such that $a_{i} \\oplus a_{j} = x$, where $\\oplus$ is bitwise xor operation (see notes for explanation).\n\n\n\n [Image] \n\n\n\nImmediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains two integers n and x (1 \u2264 n \u2264 10^5, 0 \u2264 x \u2264 10^5)\u00a0\u2014 the number of elements in the array and the integer x.\n\n\n\nSecond line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5)\u00a0\u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer: the answer to the problem.", "responses": { "n, x = list(map(int, input().split()))\nar = list(map(int, input().split()))\ncnt = {}\nans = 0\nfor val in ar:\n\tcur = val ^ x\n\t\n\tif cur in cnt:\n\t\tans += cnt[cur]\n\t\n\tif val in cnt:\n\t\tcnt[val] += 1\n\telse:\n\t\tcnt[val] = 1\nprint(ans)": 1.0, "n, x = list(map(int, input().split()))\nar = list(map(int, input().split()))\ncnt = {}\nans = 0\nfor val in ar:\n\tcur = val ^ x\n\t\n\tif cur in cnt:\n\t\tans += cnt[cur]\n\t\n\tif val in cnt:\n\t\tcnt[val] += 1\n\telse: # Missing colon at the end\n\t\tcnt[val] = 1\nprint(ans)": 0.0, "n, x = list(map(int, input().split()))\nar = list(map(int, input().split()))\ncnt = {}\nans = 0\nfor val in ar:\n\tcur = val ^ x\n\t\n\tif cur in cnt:\n\t\tans += cnt[cur]\n\t\n\tif val in cnt:\n\t\tcnt[val] += 1\n\telse:\n\t\tcnt[val] 1 # Typo: should be cnt[val] += 1 instead of cnt[val] 1\nprint(ans)": 0.0, "n, x = list(map(int, input().split()))\nar = list(map(int, input().split()))\ncnt = {}\nans = 0\nfor val in ar:\n\tcur = val ^ x\n\t\n\tif cur in cnt:\n\t\tans += cnt[cur]\n\t\n\tif val in cnt:\n\t\tcnt[val] += 1\n\t \nprint(ans) # Indentation error: missing indentation for the last line": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are some beautiful girls in Arpa\u2019s land as mentioned before.\n\n\n\nOnce Arpa came up with an obvious problem:\n\n\n\nGiven an array and a number x, count the number of pairs of indices i, j (1 \u2264 i < j \u2264 n) such that $a_{i} \\oplus a_{j} = x$, where $\\oplus$ is bitwise xor operation (see notes for explanation).\n\n\n\n [Image] \n\n\n\nImmediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains two integers n and x (1 \u2264 n \u2264 10^5, 0 \u2264 x \u2264 10^5)\u00a0\u2014 the number of elements in the array and the integer x.\n\n\n\nSecond line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5)\u00a0\u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer: the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the number pledged for a year, current value and name of the month, return string that gives information about the challenge status:\n\n\n\n- ahead of schedule\n\n- behind schedule\n\n- on track\n\n- challenge is completed\n\n\n\nExamples:\n\n\n\n`(12, 1, \"February\")` - should return `\"You are on track.\"`\n\n\n\n`(12, 1, \"March\")` - should return `\"You are 1 behind schedule.\"`\n\n\n\n`(12, 5, \"March\")` - should return `\"You are 3 ahead of schedule.\"`\n\n\n\n`(12, 12, \"September\")` - should return `\"Challenge is completed.\"`\n\n\n\nDetails:\n\n- you do not need to do any prechecks (input will always be a natural number and correct name of the month)\n\n- months should be as even as possible (i.e. for 100 items: January, February, March and April - 9, other months 8)\n\n- count only the item for completed months (i.e. for March check the values from January and February) and it means that for January you should always return `\"You are on track.\"`.", "responses": { "import calendar\nM = {calendar.month_name[i]: i - 1 for i in range(1, 13)}\ndef check_challenge(pledged, current, month):\n if pledged == current:\n return \"Challenge is completed.\"\n m = M[month]\n per_month, rest = divmod(pledged, 12)\n todo = per_month * m + (min(rest, m))\n delta = current - todo\n if delta == 0 or m == 0:\n return \"You are on track.\"\n elif delta > 0:\n return f\"You are {delta} ahead of schedule!\"\n else:\n return f\"You are {-delta} behind schedule.\"": 1.0, "import calendar\nM = {calendar.month_name[i]: i - 1 for i in range(1, 13)}\ndef check_challenge(pledged, current, month):\n if pledged == current:\n return \"Challenge is completed.\"\n m = M(month)\n per_month, rest = divmod(pledged, 12)\n todo = per_month * m + (min(rest, m))\n delta = current - todo\n if delta == 0 or m == 0:\n return \"You are on track.\"\n elif delta > 0:\n return f\"You are {delta} ahead of schedule!\"\n else:\n return f\"You are {-delta} behind schedule.\"": 0.0, "import calendar\nM = {calendar.month_name[i-1]: i - 1 for i in range(1, 13)} # note the -1 after i\ndef check_challenge(pledged, current, month):\n if pledged == current:\n return \"Challenge is completed.\"\n m = M[month]\n per_month, rest = divmod(pledged, 12)\n todo = per_month * m + (min(rest, m))\n delta = pledged - todo # delta should be calculated using current instead of pledged\n if delta == 0 or m == 0:\n return \"You are on track.\"\n elif delta > 0:\n return f\"You are {delta} ahead of schedule!\"\n else:\n return f\"You are {-delta} behind schedule.\"": 0.0, "import calendar\nM = {calendar.month_name[i]: i - 1 for i in range(1, 13)}\ndef check_challenge(pledged, current, month):\n if pledged == current:\n return \"Challenge is completed.\"\n m = M[month]\n per_month, rest = divmod(pledged, 12)\n todo = per_month * m + (min(rest, m))\n delta = current - todo\n if delta == 0 or m == 0:\n return \"You are on track.\"\n elif delta > 0:\n return f\"You are {delta} ahead of schedule!\"\n else:\n return f\"You are {-delta} behind schedule.\"\n return # an extra 'return' statement": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the number pledged for a year, current value and name of the month, return string that gives information about the challenge status:\n\n\n\n- ahead of schedule\n\n- behind schedule\n\n- on track\n\n- challenge is completed\n\n\n\nExamples:\n\n\n\n`(12, 1, \"February\")` - should return `\"You are on track.\"`\n\n\n\n`(12, 1, \"March\")` - should return `\"You are 1 behind schedule.\"`\n\n\n\n`(12, 5, \"March\")` - should return `\"You are 3 ahead of schedule.\"`\n\n\n\n`(12, 12, \"September\")` - should return `\"Challenge is completed.\"`\n\n\n\nDetails:\n\n- you do not need to do any prechecks (input will always be a natural number and correct name of the month)\n\n- months should be as even as possible (i.e. for 100 items: January, February, March and April - 9, other months 8)\n\n- count only the item for completed months (i.e. for March check the values from January and February) and it means that for January you should always return `\"You are on track.\"`.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Balanced\u00a0strings are those who have equal quantity of 'L' and 'R' characters.\n\nGiven a balanced string\u00a0s\u00a0split it in the maximum amount of balanced strings.\n\nReturn the maximum amount of splitted balanced strings.", "responses": { "class Solution:\n def balancedStringSplit(self, s: str) -> int:\n lCount = rCount = 0\n retVal = 0\n \n for char in s:\n if char == 'R':\n rCount += 1\n else:\n lCount += 1\n \n if rCount == lCount:\n retVal += 1\n lCount = rCount = 0\n return retVal": 1.0, "class Solution:\n def balancedStringSplit(self, s: str) -> int:\n lCount = rCount = 0\n retVal = 0\n \n for char in s:\n if char == 'R':\n rCount += 1\n else:\n lCount += 1\n rCount -= 1 # introducing bug here\n \n if rCount == lCount:\n retVal += 1\n lCount = rCount = 0\n return retVal": 0.0, "class Solution:\n def balancedStringSplit(self, s: str) -> int:\n lCount = rCount = 0\n retVal = 0\n \n for char in s:\n if char == 'R':\n rCount += 1\n else:\n lCount += 1\n \n if rCount != lCount: # introducing bug here\n retVal += 1\n lCount = rCount = 0\n return retVal": 0.0, "class Solution:\n def balancedStringSplit(self, s: str) -> int:\n lCount = rCount = 0\n retVal = 0\n \n for char in s:\n if char == 'R':\n rCount += 1\n else:\n lCount += 1\n \n if rCount == lCount:\n retVal -= 1 # introducing bug here\n lCount = rCount = 0\n return retVal": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBalanced\u00a0strings are those who have equal quantity of 'L' and 'R' characters.\n\nGiven a balanced string\u00a0s\u00a0split it in the maximum amount of balanced strings.\n\nReturn the maximum amount of splitted balanced strings.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Task:\n\nGiven an array arr of strings complete the function landPerimeter by calculating the total perimeter of all the islands. Each piece of land will be marked with 'X' while the water fields are represented as 'O'. Consider each tile being a perfect 1 x 1piece of land. Some examples for better visualization:\n\n\n\n['XOOXO',\n\n \u00a0'XOOXO',\n\n \u00a0'OOOXO',\n\n \u00a0'XXOXO',\n\n \u00a0'OXOOO'] \n\n\n\nor \n\n\n\n\n\nshould return:\n\n\"Total land perimeter: 24\",\n\n\n\nwhile\n\n\n\n\n\n['XOOO',\n\n \u00a0'XOXO',\n\n \u00a0'XOXO',\n\n \u00a0'OOXX',\n\n \u00a0'OOOO']\n\n\n\n\n\n\n\nshould return: \"Total land perimeter: 18\"\n\nGood luck!", "responses": { "def land_perimeter(arr):\n \n I,J = len(arr),len(arr[0])\n \n P = 0\n for i in range(I):\n for j in range(J):\n if arr[i][j] == 'X':\n if i == 0 or arr[i-1][j] == 'O': P += 1\n if i == I-1 or arr[i+1][j] == 'O': P += 1\n if j == 0 or arr[i][j-1] == 'O': P += 1\n if j == J-1 or arr[i][j+1] == 'O': P += 1\n \n \n return 'Total land perimeter: ' + str(P)": 1.0, "def land_perimeter(arr):\n \n I,J = len(arr),len(arr[0])\n \n P = 0\n for i in range(I):\n for j in range(J):\n if arr[i][j] == 'X':\n if i == 0 or arr[i-1][j] == 'O': P += 1\n if i == I-1 or arr[i+1][j] == 'O': P += 1\n if j == 0 or arr[i][j-1] == 'O': P += 1\n if j == J-1 or arr[i][j+1] == 'O': P += 1\n return 'Total land perimeter: ' + str(P)": 0.0, "def land_perimeter(arr):\n \n I,J = len(arr),len(arr[0])\n \n P = 0\n for i in range(I):\n for j in range(J):\n if arr[i][j] == 'X':\n if i == 0 or arr[i-1][j] == 'O': P += 2\n if i == I-1 or arr[i+1][j] == 'O': P += 1\n if j == 0 or arr[i][j-1] == 'O': P += 1\n if j == J-1 or arr[i][j+1] == 'O': P += 1\n \n \n return 'Total land perimeter: ' + str(P)": 0.0, "def land_perimeter(arr):\n \n I,J = len(arr),len(arr[0])\n \n P = 0\n for i in range(I):\n for j in range(J):\n if arr[i][j] == 'X':\n if i == 0 or arr[i-1][j] == 'O': P += 1\n if i == I-1 or arr[i+1][j] == 'O': P += 1\n if j == 0 or arr[i][j-1] == 'O': P += 2\n if j == J-1 or arr[i][j+1] == 'O': P += 1\n \n \n return 'Total land perimeter: ' + str(P)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTask:\n\nGiven an array arr of strings complete the function landPerimeter by calculating the total perimeter of all the islands. Each piece of land will be marked with 'X' while the water fields are represented as 'O'. Consider each tile being a perfect 1 x 1piece of land. Some examples for better visualization:\n\n\n\n['XOOXO',\n\n \u00a0'XOOXO',\n\n \u00a0'OOOXO',\n\n \u00a0'XXOXO',\n\n \u00a0'OXOOO'] \n\n\n\nor \n\n\n\n\n\nshould return:\n\n\"Total land perimeter: 24\",\n\n\n\nwhile\n\n\n\n\n\n['XOOO',\n\n \u00a0'XOXO',\n\n \u00a0'XOXO',\n\n \u00a0'OOXX',\n\n \u00a0'OOOO']\n\n\n\n\n\n\n\nshould return: \"Total land perimeter: 18\"\n\nGood luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kolya got an integer array $a_1, a_2, \\dots, a_n$. The array can contain both positive and negative integers, but Kolya doesn't like $0$, so the array doesn't contain any zeros.\n\n\n\nKolya doesn't like that the sum of some subsegments of his array can be $0$. The subsegment is some consecutive segment of elements of the array. \n\n\n\nYou have to help Kolya and change his array in such a way that it doesn't contain any subsegments with the sum $0$. To reach this goal, you can insert any integers between any pair of adjacent elements of the array (integers can be really any: positive, negative, $0$, any by absolute value, even such a huge that they can't be represented in most standard programming languages).\n\n\n\nYour task is to find the minimum number of integers you have to insert into Kolya's array in such a way that the resulting array doesn't contain any subsegments with the sum $0$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 200\\,000$) \u2014 the number of elements in Kolya's array.\n\n\n\nThe second line of the input contains $n$ integers $a_1, a_2, \\dots, a_n$ ($-10^{9} \\le a_i \\le 10^{9}, a_i \\neq 0$) \u2014 the description of Kolya's array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum number of integers you have to insert into Kolya's array in such a way that the resulting array doesn't contain any subsegments with the sum $0$.", "responses": { "from sys import stdin\ntt = 1\nfor loop in range(tt):\n dic = {}\n dic[0] = 1\n n = int(stdin.readline())\n a = list(map(int,stdin.readline().split()))\n now = 0\n ans = 0\n for i in a:\n now += i\n if now in dic:\n ans += 1\n dic = {}\n dic[0] = 1\n now = i\n \n dic[now] = 1\n print (ans)": 1.0, "from sys import stdin\ntt = 1\nfor loop in range(tt):\n dic = {}\n dic[0] = 1\n n = int(stdin.readline())\n a = list(map(int,stdin.readline().split()))\n now = 0\n ans = 0\n for i in a:\n now += i\n if now in dic:\n ans += 1\n dic = {}\n dic[0] = 1\n now = i\n \n dic[now] = 1\n print(ans)": 0.0, "from sys import stdin\ntt = 1\nfor loop in range(tt):\n dic = {}\n dic[0] = 1\n n = int()\n a = list(map(int,stdin.readline().split()))\n now = 0\n ans = 0\n for i in a:\n now += i\n if now in dic:\n ans += 1\n dic = {}\n dic[0] = 1\n now = i\n \n dic[now] = 1\n print (ans)": 0.0, "from sys import stdin\ntt = 1\nfor loop in range(tt):\n dic = {}\n dic[0] = 1\n n = int(stdin.readline())\n a = list(map(int,stdin.readline().split()))\n now += 0\n ans = 0\n for i in a:\n now += i\n if now in dic:\n ans += 1\n dic = {}\n dic[0] = 1\n now = i\n \n dic[now] = 1\n print (ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKolya got an integer array $a_1, a_2, \\dots, a_n$. The array can contain both positive and negative integers, but Kolya doesn't like $0$, so the array doesn't contain any zeros.\n\n\n\nKolya doesn't like that the sum of some subsegments of his array can be $0$. The subsegment is some consecutive segment of elements of the array. \n\n\n\nYou have to help Kolya and change his array in such a way that it doesn't contain any subsegments with the sum $0$. To reach this goal, you can insert any integers between any pair of adjacent elements of the array (integers can be really any: positive, negative, $0$, any by absolute value, even such a huge that they can't be represented in most standard programming languages).\n\n\n\nYour task is to find the minimum number of integers you have to insert into Kolya's array in such a way that the resulting array doesn't contain any subsegments with the sum $0$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 200\\,000$) \u2014 the number of elements in Kolya's array.\n\n\n\nThe second line of the input contains $n$ integers $a_1, a_2, \\dots, a_n$ ($-10^{9} \\le a_i \\le 10^{9}, a_i \\neq 0$) \u2014 the description of Kolya's array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum number of integers you have to insert into Kolya's array in such a way that the resulting array doesn't contain any subsegments with the sum $0$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You have a playlist consisting of $n$ songs. The $i$-th song is characterized by two numbers $t_i$ and $b_i$ \u2014 its length and beauty respectively. The pleasure of listening to set of songs is equal to the total length of the songs in the set multiplied by the minimum beauty among them. For example, the pleasure of listening to a set of $3$ songs having lengths $[5, 7, 4]$ and beauty values $[11, 14, 6]$ is equal to $(5 + 7 + 4) \\cdot 6 = 96$.\n\n\n\nYou need to choose at most $k$ songs from your playlist, so the pleasure of listening to the set of these songs them is maximum possible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($1 \\le k \\le n \\le 3 \\cdot 10^5$) \u2013 the number of songs in the playlist and the maximum number of songs you can choose, respectively.\n\n\n\nEach of the next $n$ lines contains two integers $t_i$ and $b_i$ ($1 \\le t_i, b_i \\le 10^6$) \u2014 the length and beauty of $i$-th song.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum pleasure you can get.", "responses": { "import heapq\nn,k=list(map(int,input().split()))\nS=[list(map(int,input().split())) for i in range(n)]\nS.sort(key=lambda x:x[1],reverse=True)\nANS=0\nLENGTH=0\nH=[]\nfor x,y in S:\n heapq.heappush(H,x)\n LENGTH+=x\n if len(H)>k:\n z=heapq.heappop(H)\n LENGTH-=z\n \n if ANSk:\n z=heapq.heappop(H)\n LENGTH+=z\n \n if ANSk:\n z=heapq.heappop(H)\n \n if ANSk:\n z=heapq.heappop(H)\n LENGTH-=z\n \n if ANS>LENGTH*y:\n ANS=LENGTH*y\nprint(ANS)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have a playlist consisting of $n$ songs. The $i$-th song is characterized by two numbers $t_i$ and $b_i$ \u2014 its length and beauty respectively. The pleasure of listening to set of songs is equal to the total length of the songs in the set multiplied by the minimum beauty among them. For example, the pleasure of listening to a set of $3$ songs having lengths $[5, 7, 4]$ and beauty values $[11, 14, 6]$ is equal to $(5 + 7 + 4) \\cdot 6 = 96$.\n\n\n\nYou need to choose at most $k$ songs from your playlist, so the pleasure of listening to the set of these songs them is maximum possible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($1 \\le k \\le n \\le 3 \\cdot 10^5$) \u2013 the number of songs in the playlist and the maximum number of songs you can choose, respectively.\n\n\n\nEach of the next $n$ lines contains two integers $t_i$ and $b_i$ ($1 \\le t_i, b_i \\le 10^6$) \u2014 the length and beauty of $i$-th song.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum pleasure you can get.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The Jones Trucking Company tracks the location of each of its trucks on a grid similar to an (x, y) plane. The home office is at the location (0, 0). Read the coordinates of truck A and the coordinates of truck B and determine which is closer to the office.\n\n\n\n-----Input:-----\n\nThe first line of the data set for this problem is an integer representing the number of collections of data that follow. Each collection contains 4 integers: the x-coordinate and then the \n\ny-coordinate of truck A followed by the x-coordinate and then the y-coordinate of truck B.\n\n\n\n-----Output:-----\n\nAll letters are upper case.\n\nThe output is to be formatted exactly like that for the sample output given below.\n\n\n\n-----Assumptions:-----\n\nThe x-coordinate is in the range \u201320 .. 20. The y-coordinate is in the range \u201320 .. 20.\n\n\n\n-----Discussion:-----\n\nThe distance between point #1 with coordinates (x1, y1) and point #2 with coordinates (x2, y2) is:\n\n\n\n-----Sample Input:-----\n\n4\n\n3 -2 -5 -3\n\n0 6 1 2\n\n-7 8 4 -1\n\n3 3 -2 2\n\n\n\n-----Sample Output:-----\n\nA IS CLOSER\n\nB IS CLOSER\n\nB IS CLOSER\n\nB IS CLOSER", "responses": { "try:\n t = int(input())\n for i in range(t):\n ar=list(map(int,input().split()))\n if (ar[0]**2 + ar[1]**2 > ar[2]**2 + ar[3]**2):\n print(\"B IS CLOSER\")\n else:\n print(\"A IS CLOSER\")\n \n \n \nexcept:\n pass\n \n ": 1.0, "try:\n t = int(input())\n for i in range(t):\n ar=list(map(int,input().split()))\n if (ar[0]**2 + ar[1]**2 < ar[2]**2 + ar[3]**2):\n print(\"B IS CLOSER\")\n else:\n print(\"A IS CLOSER\")\n \n \n \nexcept:\n pass": 0.0, "try:\n t = int(input())\n for i in range(t):\n ar=list(map(int,input().split()))\n if (ar[0]**2 + ar[1]**2 > ar[2]**2 - ar[3]**2):\n print(\"B IS CLOSER\")\n else:\n print(\"A IS CLOSER\")\n \n \n \nexcept:\n pass": 0.0, "try:\n t = int(input())\n for i in range(t):\n ar=list(map(int,input().split()))\n if (ar[0]**2 + ar[1]**2 > ar[2]**2 + ar[3]**2):\n print(\"A IS CLOSER\")\n else:\n print(\"B IS CLOSER\")\n \n \n \nexcept:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe Jones Trucking Company tracks the location of each of its trucks on a grid similar to an (x, y) plane. The home office is at the location (0, 0). Read the coordinates of truck A and the coordinates of truck B and determine which is closer to the office.\n\n\n\n-----Input:-----\n\nThe first line of the data set for this problem is an integer representing the number of collections of data that follow. Each collection contains 4 integers: the x-coordinate and then the \n\ny-coordinate of truck A followed by the x-coordinate and then the y-coordinate of truck B.\n\n\n\n-----Output:-----\n\nAll letters are upper case.\n\nThe output is to be formatted exactly like that for the sample output given below.\n\n\n\n-----Assumptions:-----\n\nThe x-coordinate is in the range \u201320 .. 20. The y-coordinate is in the range \u201320 .. 20.\n\n\n\n-----Discussion:-----\n\nThe distance between point #1 with coordinates (x1, y1) and point #2 with coordinates (x2, y2) is:\n\n\n\n-----Sample Input:-----\n\n4\n\n3 -2 -5 -3\n\n0 6 1 2\n\n-7 8 4 -1\n\n3 3 -2 2\n\n\n\n-----Sample Output:-----\n\nA IS CLOSER\n\nB IS CLOSER\n\nB IS CLOSER\n\nB IS CLOSER\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Spongebob is already tired trying to reason his weird actions and calculations, so he simply asked you to find all pairs of n and m, such that there are exactly x distinct squares in the table consisting of n rows and m columns. For example, in a 3 \u00d7 5 table there are 15 squares with side one, 8 squares with side two and 3 squares with side three. The total number of distinct squares in a 3 \u00d7 5 table is 15 + 8 + 3 = 26.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer x (1 \u2264 x \u2264 10^18)\u00a0\u2014 the number of squares inside the tables Spongebob is interested in.\n\n\n\n\n\n-----Output-----\n\n\n\nFirst print a single integer k\u00a0\u2014 the number of tables with exactly x distinct squares inside.\n\n\n\nThen print k pairs of integers describing the tables. Print the pairs in the order of increasing n, and in case of equality\u00a0\u2014 in the order of increasing m.", "responses": { "x = int(input())\ndef solve(x):\n count = 0\n lst = []\n x6 = x * 6\n for n in range(1, x + 1):\n t, r = divmod(x6, n*(n+1))\n if t < 2*n + 1:\n break\n if r:\n continue\n m, r = divmod(t + n - 1, 3)\n if r:\n continue\n count += 2\n lst.append((n, m))\n nn, mm = lst[-1]\n if nn == mm:\n count -= 1\n print(count)\n for n, m in lst:\n print(n, m)\n if nn != mm:\n print(mm, nn)\n lst.reverse()\n for n, m in lst[1:]:\n print(m, n)\nsolve(x)": 1.0, "x = int(input())\ndef solve(x):\n count = 0\n lst = [] \n x6 = x * 6\n for n in range(1, x + 1):\n t, r = divmod(x6, n*(n+1))\n if t < 2*n + 1:\n break\n if r:\n continue\n m, r = divmod(t + n - 1, 3)\n if r:\n continue\n count += 2\n lst.append((n, m))\n nn, mm = lst[-1]\n if nn == mm:\n count -= 1\n print(count)\n for n, m in lst:\n print(n, m)\n if nn != mm:\n print(mm, nn)\n lst.reverse()\n for n, m in lst[1:]:\n print(m, n)\nsolve(x)": 0.0, "x = int(input())\ndef solve(x):\n count = 0\n lst = []\n x6 = x * 6\n for n in range(1, x + 1):\n t, r = divmod(x6, n*(n+1))\n if t < 2*n + 1:\n break\n if r:\n continue\n m, r = divmod(t + n - 1, 3)\n if r:\n continue\n count += 2\n lst.append((n, m))\n nn, mm = lst[-1]\n if nn == mm:\n count -= 1\n print(count)\n for n, m in lst:\n print(n, m)\n if nn != mm:\n print(mm, nn)\n lst.reverse()\n for n, m in lst[1:]:\n print(m, n)\nsolve(x)": 0.0, "x = int(input())\ndef solve(x):\n count = 0\n lst = []\n x6 = x * 6\n for n in range(1, x + 1):\n t, r = divmod(x6, n*(n+1))\n if t < 2*n + 1:\n break\n if r:\n continue\n m, r = divmod(t + n - 1, 3)\n if r:\n continue\n count += 2\n lst.append((n, m))\n nn, mm = lst[-1]\n if nn == mm:\n count -= 1\n print(count)\n for n, m in lst:\n print(n, m)\n if nn != mm:\n print(mm, nn)\n lst.reverse()\n for n, m in lst[1:]:\n print(m, n)\nsolve(x)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSpongebob is already tired trying to reason his weird actions and calculations, so he simply asked you to find all pairs of n and m, such that there are exactly x distinct squares in the table consisting of n rows and m columns. For example, in a 3 \u00d7 5 table there are 15 squares with side one, 8 squares with side two and 3 squares with side three. The total number of distinct squares in a 3 \u00d7 5 table is 15 + 8 + 3 = 26.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer x (1 \u2264 x \u2264 10^18)\u00a0\u2014 the number of squares inside the tables Spongebob is interested in.\n\n\n\n\n\n-----Output-----\n\n\n\nFirst print a single integer k\u00a0\u2014 the number of tables with exactly x distinct squares inside.\n\n\n\nThen print k pairs of integers describing the tables. Print the pairs in the order of increasing n, and in case of equality\u00a0\u2014 in the order of increasing m.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef is solving mathematics problems. He is preparing for Engineering Entrance exam. He's stuck in a problem.\n\n$f(n)=1^n*2^{n-1}*3^{n-2} * \\ldots * n^{1} $ \n\nHelp Chef to find the value of $f(n)$.Since this number could be very large, compute it modulo $1000000007$.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains of a single line of input, $N$. \n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line the value of $f(n)$ mod $1000000007$.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10^6$\n\n- $1 \\leq N \\leq 10^6$\n\n\n\n-----Subtasks-----\n\nSubtask 1(24 points) : \n\n- $1 \\leq T \\leq 5000$\n\n- $1 \\leq N \\leq 5000$\n\nSubtask 2(51 points) : original constraints\n\n\n\n-----Sample Input:-----\n\n1\n\n3\n\n\n\n-----Sample Output:-----\n\n12", "responses": { "T=int(input())\nt=[]\nfor _ in range(T):\n N=int(input())\n t.append(N)\nN=max(t)+1\nl=[0 for i in range(N)]\np=1\na=1\nfor i in range(1,N):\n a=(a*i)%1000000007\n p=p*a%1000000007\n l[i]=p\nfor i in t:\n print(l[i])": 1.0, "T=int(input())\nt=[]\nfor _ in range(T):\n N=int(input())\n t.append(N)\nN=max(t)+1\nl=[0 for i in range(N)]\np=1\na=1\nfor i in range(1,N):\n a=(a*i)%1000000007\n p=p*a%1000000008\n l[i]=p\nfor i in t:\n print(l[i])": 0.0, "T=int(input())\nt=[]\nfor _ in range(T):\n N=int(input())\n t.append(N)\nN=max(t)+1\nl=[0 for i in range(N)]\np=1\na=1\nfor i in range(1,N):\n a=(a*i)%1000000007\n p=p*a%1000000007\n l[i]=p\nprint(l[i], end=\"\")": 0.0, "T=int(input())\nt=[]\nfor _ in range(T):\n N=int(input()\n t.append(N)\nN=max(t)+1\nl=[0 for i in range(N)]\np=1\na=1\nfor i in range(1,N):\n a=(a*i)%1000000007\n p=p*a%1000000007\n l[i]=p\nfor i in t:\n print(l[i])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef is solving mathematics problems. He is preparing for Engineering Entrance exam. He's stuck in a problem.\n\n$f(n)=1^n*2^{n-1}*3^{n-2} * \\ldots * n^{1} $ \n\nHelp Chef to find the value of $f(n)$.Since this number could be very large, compute it modulo $1000000007$.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains of a single line of input, $N$. \n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line the value of $f(n)$ mod $1000000007$.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10^6$\n\n- $1 \\leq N \\leq 10^6$\n\n\n\n-----Subtasks-----\n\nSubtask 1(24 points) : \n\n- $1 \\leq T \\leq 5000$\n\n- $1 \\leq N \\leq 5000$\n\nSubtask 2(51 points) : original constraints\n\n\n\n-----Sample Input:-----\n\n1\n\n3\n\n\n\n-----Sample Output:-----\n\n12\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Seyyed and MoJaK are friends of Sajjad. Sajjad likes a permutation. Seyyed wants to change the permutation in a way that Sajjad won't like it. Seyyed thinks more swaps yield more probability to do that, so he makes MoJaK to perform a swap between every pair of positions (i, j), where i < j, exactly once. MoJaK doesn't like to upset Sajjad.\n\n\n\nGiven the permutation, determine whether it is possible to swap all pairs of positions so that the permutation stays the same. If it is possible find how to do that. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains single integer n (1 \u2264 n \u2264 1000)\u00a0\u2014 the size of the permutation.\n\n\n\nAs the permutation is not important, you can consider a_{i} = i, where the permutation is a_1, a_2, ..., a_{n}.\n\n\n\n\n\n-----Output-----\n\n\n\nIf it is not possible to swap all pairs of positions so that the permutation stays the same, print \"NO\",\n\n\n\nOtherwise print \"YES\", then print $\\frac{n(n - 1)}{2}$ lines: the i-th of these lines should contain two integers a and b (a < b)\u00a0\u2014 the positions where the i-th swap is performed.", "responses": { "n = int(input())\np = lambda a,b: print(a+1,b+1)\nif n % 4 > 1:\n\tprint(\"NO\")\nelse:\n\tprint(\"YES\")\n\tfor i in range(n%4,n,4):\n\t\tfor x in range(2):\n\t\t\tfor j in range(i): p(j,i+2*x)\n\t\t\tp(i+2*x,i+2*x+1)\n\t\t\tfor j in range(i,0,-1): p(j-1,i+2*x+1)\n\t\tp(i,i+3)\n\t\tp(i+1,i+2)\n\t\tp(i,i+2)\n\t\tp(i+1,i+3)": 1.0, "```python\nn = int(input())\np = lambda a,b: print(a+1,b+1)\nif n % 4 > 1:\n\tprint(\"NO\")\nelse:\n\tprint(yes) ## The bug is here, yes should be in quotes (\"yes\") to be recognized as a string.\n\tfor i in range(n%4,n,4):\n\t\tfor x in range(2):\n\t\t\tfor j in range(i): p(j,i+2*x)\n\t\t\tp(i+2*x,i+2*x+1)\n\t\t\tfor j in range(i,0,-1): p(j-1,i+2*x+1)\n\t\tp(i,i+3)\n\t\tp(i+1,i+2)\n\t\tp(i,i+2)\n\t\tp(i+1,i+3)\n```": 0.0, "```python\nn = int(input())\np = lambda a,b: print(a+1,b+1)\nif n % 4 > 1:\n print(\"NO\")\nelse:\n print(\"YES\")\n for i in range(n%4,n,4):\n for x in range(): ## The bug is here, the range is missing arguments, it should be range(2).\n for j in range(i): p(j,i+2*x)\n p(i+2*i,i+2*x+1)\n for j in range(i,0,-1): p(j-1,i+2*x+1)\n p(i,i+3)\n p(i+1,i+2)\n p(i,i+2)\n p(i+1,i+3)\n```": 0.0, "```python\nn = int(input())\np = lambda a,b: print(a+1,b+1)\nif n % 4 > 1:\n print(\"NO\")\nelse:\n print(\"YES\")\n for i in range(n%4,n,4):\n for x in range(2):\n for j in range(i): p(j,i+2*x)\n p(i+2*x,i+2*x+1)\n for j in reversed(range(i,0,-1)): p(j-1,i+2*x+1) ## The bug is here, the range should be reversed(range(i),0,-1) to print in reversed order.\n p(i,i+3)\n p(i+1,i+2)\n p(i,i+2)\n p(i+1,i+3)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSeyyed and MoJaK are friends of Sajjad. Sajjad likes a permutation. Seyyed wants to change the permutation in a way that Sajjad won't like it. Seyyed thinks more swaps yield more probability to do that, so he makes MoJaK to perform a swap between every pair of positions (i, j), where i < j, exactly once. MoJaK doesn't like to upset Sajjad.\n\n\n\nGiven the permutation, determine whether it is possible to swap all pairs of positions so that the permutation stays the same. If it is possible find how to do that. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains single integer n (1 \u2264 n \u2264 1000)\u00a0\u2014 the size of the permutation.\n\n\n\nAs the permutation is not important, you can consider a_{i} = i, where the permutation is a_1, a_2, ..., a_{n}.\n\n\n\n\n\n-----Output-----\n\n\n\nIf it is not possible to swap all pairs of positions so that the permutation stays the same, print \"NO\",\n\n\n\nOtherwise print \"YES\", then print $\\frac{n(n - 1)}{2}$ lines: the i-th of these lines should contain two integers a and b (a < b)\u00a0\u2014 the positions where the i-th swap is performed.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Edogawa Conan got tired of solving cases, and invited his friend, Professor Agasa, over. They decided to play a game of cards. Conan has n cards, and the i-th card has a number a_{i} written on it.\n\n\n\nThey take turns playing, starting with Conan. In each turn, the player chooses a card and removes it. Also, he removes all cards having a number strictly lesser than the number on the chosen card. Formally, if the player chooses the i-th card, he removes that card and removes the j-th card for all j such that a_{j} < a_{i}.\n\n\n\nA player loses if he cannot make a move on his turn, that is, he loses if there are no cards left. Predict the outcome of the game, assuming both players play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 10^5)\u00a0\u2014 the number of cards Conan has. \n\n\n\nThe next line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5), where a_{i} is the number on the i-th card.\n\n\n\n\n\n-----Output-----\n\n\n\nIf Conan wins, print \"Conan\" (without quotes), otherwise print \"Agasa\" (without quotes).", "responses": { "n = int(input())\na = list(map(int, input().split()))\ns = set(a)\nm = {i: 0 for i in s}\nfor i in a:\n\tm[i] += 1\nwin = ''\nfor i in sorted(m)[::-1]:\n\tif m[i] % 2:\n\t\twin = 'Conan'\n\t\tbreak\nif win:\n\tprint(win)\nelse:\n\tprint('Agasa')": 1.0, "n = int(input())\na = list(map(int, input().split()))\ns = set(a)\nm = {i: 0 for i in s}\nfor i in a\n\tm[i] += 1\nwin = ''\nfor i in sorted(m)[::-1]:\n\tif m[i] % 2:\n\t\twin = 'Conan'\n\t\tbreak\nif win:\n\tprint(win)\nelse:\n\tprint('Agasa')": 0.0, "n = int(input())\na = list(map(int, input().split()))\ns = set(a)\nm = {i: 0 for i in s}\nfor i in a:\n\tm[i] += 1\nwin = '\nfor i in sorted(m)[::-1]:\n\tif m[i] % 2:\n\t\twin = 'Conan'\n\t\tbreak\nif win:\n\tprint(win)\nelse\n\tprint('Agasa')": 0.0, "n = input()\na = list(map(int, input().split()))\ns = set(a)\nm = {i: 0 for i in s}\nfor i in a:\n\tm[i] += 1\nwin = ''\nfor i in sorted(m)\n\tif m[i] % 2:\n\t\twin = 'Conan'\n\t\tbreak\nif win:\n\tprint(win)\nelse:\n\tprint('Agasa')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEdogawa Conan got tired of solving cases, and invited his friend, Professor Agasa, over. They decided to play a game of cards. Conan has n cards, and the i-th card has a number a_{i} written on it.\n\n\n\nThey take turns playing, starting with Conan. In each turn, the player chooses a card and removes it. Also, he removes all cards having a number strictly lesser than the number on the chosen card. Formally, if the player chooses the i-th card, he removes that card and removes the j-th card for all j such that a_{j} < a_{i}.\n\n\n\nA player loses if he cannot make a move on his turn, that is, he loses if there are no cards left. Predict the outcome of the game, assuming both players play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 10^5)\u00a0\u2014 the number of cards Conan has. \n\n\n\nThe next line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5), where a_{i} is the number on the i-th card.\n\n\n\n\n\n-----Output-----\n\n\n\nIf Conan wins, print \"Conan\" (without quotes), otherwise print \"Agasa\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is an array with n elements a_1, a_2, ..., a_{n} and the number x.\n\n\n\nIn one operation you can select some i (1 \u2264 i \u2264 n) and replace element a_{i} with a_{i} & x, where & denotes the bitwise and operation.\n\n\n\nYou want the array to have at least two equal elements after applying some operations (possibly, none). In other words, there should be at least two distinct indices i \u2260 j such that a_{i} = a_{j}. Determine whether it is possible to achieve and, if possible, the minimal number of operations to apply.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integers n and x (2 \u2264 n \u2264 100 000, 1 \u2264 x \u2264 100 000), number of elements in the array and the number to and with.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 100 000), the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer denoting the minimal number of operations to do, or -1, if it is impossible.", "responses": { "n, x = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = [0] * 1000000\nans = 0\ngo = False\nfor i in a:\n b[i] += 1\n if b[i] > 1:\n go = True\nif go:\n print(ans)\nelse:\n for i in a:\n b[i] -= 1\n if b[i & x] + 1 > 1:\n go = True\n ans = 1\n break\n \n b[i] += 1\n \n if go:\n print(ans)\n else:\n c = [i & x for i in a]\n b = [0] * 1000000\n for i in c:\n b[i] += 1\n if (b[i] > 1):\n ans = 2\n go = True\n break\n if go:\n print(ans)\n else:\n print(-1)": 1.0, "```python\nn, x = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = [0] * 1000000\nans = 0\ngo = False\nfor i in a:\n b[i] += 1\n if b[i] > 1:\n go = True\nif go:\n ans += 1 # Bug: incrementing wrong variable\nelse:\n for i in a:\n b[i] -= 1\n if b[i & x] + 1 > 1:\n go = True\n ans = 1\n break\n \n b[i] += 1\n \n if go:\n print(ans)\n else:\n c = [i & x for i in a]\n b = [0] * 1000000\n for i in c:\n b[i] += 1\n if (b[i] > 1):\n ans = 2\n go = True\n break\n if go:\n print(ans)\n else:\n print(-1)\n```": 0.0, "```python\nn, x = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = [0] * 1000000\nans = 0\ngo = False\nfor i in a:\n b[i] += 1\n if b[i] > 1:\n go = True\nif go:\n print(1) # Bug: printing static value instead of variable\nelse:\n for i in a:\n b[i] -= 1\n if b[i & x] + 1 > 1:\n go = True\n ans = 1\n break\n \n b[i] += 1\n \n if go:\n print(ans)\n else:\n c = [i & x for i in a]\n b = [0] * 1000000\n for i in c:\n b[i] += 1\n if (b[i] > 1):\n ans = 2\n go = True\n break\n if go:\n print(ans)\n else:\n print(-1)\n```": 0.0, "```python\nn, x = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = [0] * 1000000\nans = 0\ngo = False\nfor i in a:\n b[i] += 1\n if b[i] > 1:\n go = True\nif go:\n print(ans)\nelse:\n for i in a:\n b[i] -= 1\n if b[i & x] + 1 > 1:\n go = True\n ans = 1\n break\n \n b[i] += 1\n \n if go:\n print(ans)\n else:\n c = [i & x for i in a]\n b = [0] * 1000000\n for i in c:\n b[i] += 1\n if (b[i] > 1):\n go = True\n ans = 1 # Bug: setting wrong value for ans\n break\n if go:\n print(ans)\n else:\n print(-1)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is an array with n elements a_1, a_2, ..., a_{n} and the number x.\n\n\n\nIn one operation you can select some i (1 \u2264 i \u2264 n) and replace element a_{i} with a_{i} & x, where & denotes the bitwise and operation.\n\n\n\nYou want the array to have at least two equal elements after applying some operations (possibly, none). In other words, there should be at least two distinct indices i \u2260 j such that a_{i} = a_{j}. Determine whether it is possible to achieve and, if possible, the minimal number of operations to apply.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integers n and x (2 \u2264 n \u2264 100 000, 1 \u2264 x \u2264 100 000), number of elements in the array and the number to and with.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 100 000), the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer denoting the minimal number of operations to do, or -1, if it is impossible.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A frog is initially at position $0$ on the number line. The frog has two positive integers $a$ and $b$. From a position $k$, it can either jump to position $k+a$ or $k-b$.\n\n\n\nLet $f(x)$ be the number of distinct integers the frog can reach if it never jumps on an integer outside the interval $[0, x]$. The frog doesn't need to visit all these integers in one trip, that is, an integer is counted if the frog can somehow reach it if it starts from $0$.\n\n\n\nGiven an integer $m$, find $\\sum_{i=0}^{m} f(i)$. That is, find the sum of all $f(i)$ for $i$ from $0$ to $m$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers $m, a, b$ ($1 \\leq m \\leq 10^9, 1 \\leq a,b \\leq 10^5$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer, the desired sum.", "responses": { "import math\nm,a,b=map(int,input().split())\ng=math.gcd(a,b)\na1=a//g\nb1=b//g\nalls=g*(a1+b1-1)\ndists=[0]+[-1]*(a1+b1-1)\ndist=0\nfar=0\nwhile dist!=b1:\n if dist b_endtime:\n a_endtime, b_endtime = b_endtime, a_endtime\n \nelse:\n print('YES')": 1.0, "n = int(input())\nshows = []\nfor i in range(n):\n l, r = map(int, input().split())\n shows.append((l,r))\n \nshows.sort()\na_endtime, b_endtime = -1, -1\nfor show in shows:\n if show[0] <= a_endtime:\n print('NO')\n break\n else:\n a_endtime = show[1]\n if b_endtime > a_endtime: # bug: wrong variable used for comparison\n a_endtime, b_endtime = b_endtime, a_endtime\n \nelse:\n print('YES')": 0.0, "n = int(input())\nshows = []\nfor i in range(n):\n l, r = map(int, input().split())\n shows.append((l,r))\n \nshows.sort()\na_endtime, b_endtime = -1, -1\nfor show in shows:\n if show[0] <= a_endtime:\n print('NO')\n break\n else:\n b_endtime = show[1] # bug: wrong variable used for assignment\n if a_endtime > b_endtime:\n a_endtime, b_endtime = b_endtime, a_endtime\n \nelse:\n print('YES')": 0.0, "n = int(input())\nshows = []\nfor i in range(n):\n l, r = map(int, input().split())\n shows.append((l,r))\n \nshows.sort()\na_endtime, b_endtime = -1, -1\nfor show in shows:\n if show[0] <= a_endtime:\n print('NO')\n break\n else:\n a_endtime = show[1]\n # bug: missing comparison operator in the following condition\n if a_endtime b_endtime:\n a_endtime, b_endtime = b_endtime, a_endtime\n \nelse:\n print('YES')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarp is a great fan of television.\n\n\n\nHe wrote down all the TV programs he is interested in for today. His list contains n shows, i-th of them starts at moment l_{i} and ends at moment r_{i}.\n\n\n\nPolycarp owns two TVs. He can watch two different shows simultaneously with two TVs but he can only watch one show at any given moment on a single TV. If one show ends at the same moment some other show starts then you can't watch them on a single TV.\n\n\n\nPolycarp wants to check out all n shows. Are two TVs enough to do so?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer n (1 \u2264 n \u2264 2\u00b710^5) \u2014 the number of shows.\n\n\n\nEach of the next n lines contains two integers l_{i} and r_{i} (0 \u2264 l_{i} < r_{i} \u2264 10^9) \u2014 starting and ending time of i-th show.\n\n\n\n\n\n-----Output-----\n\n\n\nIf Polycarp is able to check out all the shows using only two TVs then print \"YES\" (without quotes). Otherwise, print \"NO\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Stepan has a very big positive integer.\n\n\n\nLet's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. For example, for the integer 10203 the good shifts are the integer itself 10203 and integers 20310 and 31020.\n\n\n\nStepan wants to know the minimum remainder of the division by the given number m among all good shifts. Your task is to determine the minimum remainder of the division by m.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the integer which Stepan has. The length of Stepan's integer is between 2 and 200 000 digits, inclusive. It is guaranteed that Stepan's integer does not contain leading zeros.\n\n\n\nThe second line contains the integer m (2 \u2264 m \u2264 10^8) \u2014 the number by which Stepan divides good shifts of his integer.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum remainder which Stepan can get if he divides all good shifts of his integer by the given number m.", "responses": { "s = input()\nm = int(input())\nmn = m\nttt = 0\nt = 0\nttt = 1\nfor i in range(1,len(s)):\n ttt = (ttt * 10) % m\nfor i in range(0,len(s)):\n t = (t * 10 + ord(s[i]) - ord('0')) % m\nfor i in range(0,len(s)):\n if s[i] != '0':\n mn = min(mn,t)\n t = t - (((ord(s[i])- ord('0')) * ttt) % m)\n if t < 0:\n t = t + m\n t = (t * 10 + (ord(s[i])- ord('0'))) % m\nprint(mn)": 1.0, "s = input()\nm = int(input())\nmn = m\nttt = 0\nttt = 1\nfor i in range(1,len(s)):\n ttt = (ttt * 10) % m\nfor i in range(0,len(s)):\n t = (t * 10 + ord(s[i]) - ord('0')) % m\nfor i in range(0,len(s)):\n if s[i] != '0':\n mn = min(mn,t)\n t = t - (((ord(s[i])- ord('0')) * ttt) % m)\n if t < 0:\n t = t + m\n t = (t * 10 + (ord(s[i])- ord('0'))) % m\nprint(mn)": 0.0, "s = input()\nm = int(input())\nmn = m\nttt = 0\nt = 0\nttt = 1\nfor i in range(1,len(s)):\n ttt = (ttt * 10) % m\nfor i in range(1,len(s)):\n t = (t * 10 + ord(s[i]) - ord('0')) % m\nfor i in range(0,len(s)):\n if s[i] != '0':\n mn = min(mn,t)\n t = t - (((ord(s[i])- ord('0')) * ttt) % m)\n if t < 0:\n t = t + m\n t = (t * 10 + (ord(s[i])- ord('0'))) % m\nprint(mn)": 0.0, "s = input()\nm = int(input())\nmn = m\nttt = 0\nt = 0\nttt = 1\nfor i in range(1,len(s)+1):\n ttt = (ttt * 10) % m\nfor i in range(0,len(s)):\n t = (t * 10 + ord(s[i]) - ord('0')) % m\nfor i in range(0,len(s)+1):\n if s[i] != '0':\n mn = min(mn,t)\n t = t - (((ord(s[i])- ord('0')) * ttt) % m)\n if t < 0:\n t = t + m\n t = (t * 10 + (ord(s[i])- ord('0'))) % m\nprint(mn)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nStepan has a very big positive integer.\n\n\n\nLet's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. For example, for the integer 10203 the good shifts are the integer itself 10203 and integers 20310 and 31020.\n\n\n\nStepan wants to know the minimum remainder of the division by the given number m among all good shifts. Your task is to determine the minimum remainder of the division by m.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the integer which Stepan has. The length of Stepan's integer is between 2 and 200 000 digits, inclusive. It is guaranteed that Stepan's integer does not contain leading zeros.\n\n\n\nThe second line contains the integer m (2 \u2264 m \u2264 10^8) \u2014 the number by which Stepan divides good shifts of his integer.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum remainder which Stepan can get if he divides all good shifts of his integer by the given number m.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Vasya and Petya wrote down all integers from 1 to n to play the \"powers\" game (n can be quite large; however, Vasya and Petya are not confused by this fact).\n\n\n\nPlayers choose numbers in turn (Vasya chooses first). If some number x is chosen at the current turn, it is forbidden to choose x or all of its other positive integer powers (that is, x^2, x^3, ...) at the next turns. For instance, if the number 9 is chosen at the first turn, one cannot choose 9 or 81 later, while it is still allowed to choose 3 or 27. The one who cannot make a move loses.\n\n\n\nWho wins if both Vasya and Petya play optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains single integer n (1 \u2264 n \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the name of the winner \u2014 \"Vasya\" or \"Petya\" (without quotes).", "responses": { "from sys import stdin, stdout\nimport math, collections\nmod = 10**9+7\ndef isPower(n):\n if (n <= 1):\n return True\n for x in range(2, (int)(math.sqrt(n)) + 1):\n p = x\n while (p <= n):\n p = p * x\n if (p == n):\n return True\n return False\nn = int(input())\narr = [0,1,2,1,4,3,2,1,5,6,2,1,8,7,5,9,8,7,3,4,7,4,2,1,10,9,3,6,11,12]\nans = arr[int(math.log(n, 2))]\ns = int(math.log(n, 2))\nfor i in range(3, int(n**0.5)+1):\n if not isPower(i):\n ans^=arr[int(math.log(n, i))]\n s+=int(math.log(n, i))\nans^=((n-s)%2)\nprint(\"Vasya\" if ans else \"Petya\")": 1.0, "from math import isqrt\ndef isPower(n):\n if (n <= 1):\n return False\n for x in range(2, isqrt(n) + 1):\n p = x\n while (p <= n):\n p = p * x\n if (p == n):\n return True\n return False\nn = int(input())\narr = [0,1,2,1,4,3,2,1,5,6,2,1,8,7,5,9,8,7,3,4,7,4,2,1,10,9,3,6,11,12]\nans = arr[int(math.log(n, 2))]\ns = int(math.log(n, 2))\nfor i in range(3, int(n**0.5)+1):\n if not isPower(i):\n ans^=arr[int(math.log(n, i))]\n s+=int(math.log(n, i))\nans^=((n-s)%2)\nprint(\"Vasya\" if ans else \"Petya\")": 0.0, "from sys import stdout\nimport math, collections\nmod = 10**9+7\ndef isPower(n):\n if (n <= 1):\n return True\n for x in range(2, (int)(math.sqrt(n)) + 1):\n p = x\n while (p <= n):\n p = p * x\n if (p == n):\n return False\n return False\nn = int(input())\narr = [0,1,2,1,4,3,2,1,5,6,2,1,8,7,5,9,8,7,3,4,7,4,2,1,10,9,3,6,11,12]\nans = arr[int(math.log(n, 2))]\ns = int(math.log(n, 2))\nfor i in range(3, int(n**0.5)+1):\n if not isPower(i):\n ans^=arr[int(math.log(n, i))]\n s+=int(math.log(n, i))\nans^=((n-s)%2)\nstdout.write(\"Vasya\" if ans else \"Petya\")": 0.0, "from sys import stdin, stdout\nimport math, collections\nmod = 10**9+7\ndef isPower(n):\n if (n <= 1):\n return True\n for x in range(2, (int)(math.sqrt(n)) + 1):\n p = x\n while (p <= n):\n p = p * x\n if (p == n):\n return False\n return False\nn = int(input())\narr = [0,1,2,1,4,3,2,1,5,6,2,1,8,7,5,9,8,7,3,4,7,4,2,1,10,9,3,6,11,12]\nans = arr[int(math.log(n, 2))]\ns = int(math.log(n, 2))\nfor i in range(3, int(n**0.5)+1):\n if not isPower(i):\n ans^=arr[int(math.log(n, i))]\n s+=int(math.log(n, i))\nans^=((n-s)%2)\nprint(\"Vasya\" if ans else \"Petya\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nVasya and Petya wrote down all integers from 1 to n to play the \"powers\" game (n can be quite large; however, Vasya and Petya are not confused by this fact).\n\n\n\nPlayers choose numbers in turn (Vasya chooses first). If some number x is chosen at the current turn, it is forbidden to choose x or all of its other positive integer powers (that is, x^2, x^3, ...) at the next turns. For instance, if the number 9 is chosen at the first turn, one cannot choose 9 or 81 later, while it is still allowed to choose 3 or 27. The one who cannot make a move loses.\n\n\n\nWho wins if both Vasya and Petya play optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains single integer n (1 \u2264 n \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the name of the winner \u2014 \"Vasya\" or \"Petya\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string s, a\u00a0split is called good\u00a0if you can split\u00a0s into 2\u00a0non-empty strings p and q where its concatenation is equal to s and the number of distinct letters in p and q are the same.\n\nReturn the number of good splits you can make in s.", "responses": { "class Solution:\n def numSplits(self, s: str) -> int:\n left = [0]*len(s)\n \n unique = set()\n n_distinct = 0\n for i, l in enumerate(s):\n if l not in unique:\n unique.add(l)\n n_distinct += 1\n left[i] = n_distinct\n \n count = 0\n unique = set()\n n_distinct = 0\n for i in range(len(s)-1, 0,-1):\n if s[i] not in unique:\n unique.add(s[i])\n n_distinct += 1\n \n if n_distinct == left[i-1]:\n count += 1\n \n return count": 1.0, "class Solution:\n def numSplitsWrong(self, s: str) -> int:\n left = [0]*len(s)\n \n unique = set()\n n_distinct = 0\n for i, l in enumerate(s):\n if l in unique:\n unique.add(l)\n n_distinct += 1\n left[i] = n_distinct\n \n count = 0\n unique = set()\n n_distinct = 0\n for i in range(len(s)-1, 0,-1):\n if s[i] not in unique:\n unique.add(s[i])\n n_distinct += 1\n \n if n_distinct == left[i-1]:\n count += 1\n \n return count": 0.0, "class Solution:\n def numSplits(self, s: str) -> int:\n left = [0]*len(s)\n \n unique = set()\n n_distinct = 0\n for i, l in enumerate(s):\n if l not in unique:\n unique.add(l)\n left[i] = n_distinct\n \n count = 0\n unique = set()\n n_distinct = 0\n for i in range(len(s)-1, 0,-1):\n if s[i] not in unique:\n unique.add(s[i])\n n_distinct += 1\n \n if n_distinct == left[i-1]:\n count += 1\n \n return count": 0.0, "class Solution:\n def numSplits(self, s: str) -> int:\n left = [0]*len(s)\n \n unique = set()\n n_distinct = 0\n for i, l in enumerate(s):\n if l not in unique:\n unique.add(l)\n n_distinct += 1\n else:\n n_distinct += 1\n left[i] = n_distinct\n \n count = 0\n unique = set()\n n_distinct = 0\n for i in range(len(s)-1, 0,-1):\n if s[i] not in unique:\n unique.add(s[i])\n n_distinct += 1\n \n if n_distinct == left[i-1]:\n count += 1\n \n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string s, a\u00a0split is called good\u00a0if you can split\u00a0s into 2\u00a0non-empty strings p and q where its concatenation is equal to s and the number of distinct letters in p and q are the same.\n\nReturn the number of good splits you can make in s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kevin and Nicky Sun have invented a new game called Lieges of Legendre. In this game, two players take turns modifying the game state with Kevin moving first. Initially, the game is set up so that there are n piles of cows, with the i-th pile containing a_{i} cows. During each player's turn, that player calls upon the power of Sunlight, and uses it to either:\n\n\n\n Remove a single cow from a chosen non-empty pile. Choose a pile of cows with even size 2\u00b7x (x > 0), and replace it with k piles of x cows each. \n\n\n\nThe player who removes the last cow wins. Given n, k, and a sequence a_1, a_2, ..., a_{n}, help Kevin and Nicky find the winner, given that both sides play in optimal way.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers n and k (1 \u2264 n \u2264 100 000, 1 \u2264 k \u2264 10^9).\n\n\n\nThe second line contains n integers, a_1, a_2, ... a_{n} (1 \u2264 a_{i} \u2264 10^9) describing the initial state of the game. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput the name of the winning player, either \"Kevin\" or \"Nicky\" (without quotes).", "responses": { "def grundy(n, k):\n if k % 2 == 0:\n if n <= 2:\n return n\n else:\n return n % 2 == 0\n else:\n if n <= 4:\n return [0, 1, 0, 1, 2][n]\n elif n % 2 == 1:\n return 0\n else:\n return 2 if grundy(n // 2, k) == 1 else 1\ndef __starting_point():\n n, k = list(map(int, input().split()))\n xList = list(map(int, input().split()))\n res = 0\n for x in xList:\n res ^= grundy(x, k)\n print(\"Kevin\" if res else \"Nicky\")\n__starting_point()": 1.0, "def grundy(n, k):\n if k % 2 == 0:\n if n <= 2:\n return n\n else:\n return n % 2 == 0\n else:\n if n <= 4:\n return [0, 1, 0, 1, 2][n]\n elif n % 2 == 1:\n return 0\n else:\n return 1 if grundy(n // 2, k) == 1 else 1\ndef __starting_point():\n n, k = list(map(int, input().split()))\n xList = list(map(int, input().split()))\n res = 0\n for x in xList:\n res ^= grundy(x, k)\n print(\"Kevin\" if res else \"Nicky\")\n__starting_point()": 0.0, "def grundy(n, k):\n if k % 2 == 0:\n if n <= 2:\n return n\n else:\n return n % 2 == 0\n else:\n if n <= 4:\n return [0, 0, 1, 1, 2][n]\n elif n % 2 == 1:\n return 0\n else:\n return 2 if grundy(n // 2, k) == 1 else 1\ndef __starting_point():\n n, k = list(map(int, input().split()))\n xList = list(map(int, input().split()))\n res = 0\n for x in xList:\n res ^= grundy(x, k)\n print(\"Kevin\" if res else \"Nicky\")\n__starting_point()": 0.0, "def grundy(n, k):\n if k % 2 == 0:\n if n <= 2:\n return n\n else:\n return n % 2 == 0\n else:\n if n <= 4:\n return [0, 1, 0, 1, 2][n]\n elif n % 2 == 1:\n return 0\n else:\n return 2 if grundy(n // 2, k) == 2 else 1\ndef __starting_point():\n n, k = list(map(int, input().split()))\n xList = list(map(int, input().split()))\n res = 0\n for x in xList:\n res ^= grundy(x, k)\n print(\"Kevin\" if res else \"Nicky\")\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKevin and Nicky Sun have invented a new game called Lieges of Legendre. In this game, two players take turns modifying the game state with Kevin moving first. Initially, the game is set up so that there are n piles of cows, with the i-th pile containing a_{i} cows. During each player's turn, that player calls upon the power of Sunlight, and uses it to either:\n\n\n\n Remove a single cow from a chosen non-empty pile. Choose a pile of cows with even size 2\u00b7x (x > 0), and replace it with k piles of x cows each. \n\n\n\nThe player who removes the last cow wins. Given n, k, and a sequence a_1, a_2, ..., a_{n}, help Kevin and Nicky find the winner, given that both sides play in optimal way.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers n and k (1 \u2264 n \u2264 100 000, 1 \u2264 k \u2264 10^9).\n\n\n\nThe second line contains n integers, a_1, a_2, ... a_{n} (1 \u2264 a_{i} \u2264 10^9) describing the initial state of the game. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput the name of the winning player, either \"Kevin\" or \"Nicky\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A string is called palindrome if it reads the same from left to right and from right to left. For example \"kazak\", \"oo\", \"r\" and \"mikhailrubinchikkihcniburliahkim\" are palindroms, but strings \"abb\" and \"ij\" are not.\n\n\n\nYou are given string s consisting of lowercase Latin letters. At once you can choose any position in the string and change letter in that position to any other lowercase letter. So after each changing the length of the string doesn't change. At first you can change some letters in s. Then you can permute the order of letters as you want. Permutation doesn't count as changes. \n\n\n\nYou should obtain palindrome with the minimal number of changes. If there are several ways to do that you should get the lexicographically (alphabetically) smallest palindrome. So firstly you should minimize the number of changes and then minimize the palindrome lexicographically.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains string s (1 \u2264 |s| \u2264 2\u00b710^5) consisting of only lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the lexicographically smallest palindrome that can be obtained with the minimal number of changes.", "responses": { "import sys\ninput=sys.stdin.readline\npossible=[0]*26\nfor i in input().strip():\n possible[ord(i)-97]+=1\ntemp=[]\nfor i in range(26):\n if possible[i]%2: temp.append(i)\nwhile len(temp)>1:\n possible[temp[0]]+=1\n possible[temp[-1]]-=1\n temp.pop(0)\n temp.pop(-1)\nfor i in range(26):\n print(chr(97+i)*(possible[i]//2),end=\"\")\nif temp: print(chr(97+temp[0]),end=\"\")\nfor i in range(26)[::-1]:\n print(chr(97+i)*(possible[i]//2),end=\"\")": 1.0, "import sys\ninput=sys.stdin.readline\npossible=[0]*26\nfor i in input().strip():\n possible[ord(i)-97]+=1\ntemp=[]\nfor i in range(26):\n if possible[i]%2: temp.append(i)\nwhile len(temp)>1:\n possible[temp[0]]+=1\n possible[temp[-1]]-=1\n temp.pop(-1) # Bug: Popping from the wrong end\n temp.pop(0) # Bug: Popping from the wrong end\nfor i in range(26):\n print(chr(97+i)*(possible[i]//2),end=\"\")\nif temp: print(chr(97+temp[0]),end=\"\")\nfor i in range(26)[::-1]:\n print(chr(97+i)*(possible[i]//2),end=\"\")": 0.0, "import sys\ninput=sys.stdin.readline\npossible=[0]*26\nfor i in input().strip():\n possible[ord(i)-97]+=1\ntemp=[]\nfor i in range(25): # Bug: Wrong range\n if possible[i]%2: temp.append(i)\nwhile len(temp)>0: # Bug: Incorrect condition\n possible[temp[0]]+=1\n possible[temp[-1]]-=1\n temp.pop(0)\n temp.pop(-1)\nfor i in range(26):\n print(chr(97+i)*(possible[i]//2),end=\"\")\nif temp: print(chr(97+temp[0]),end=\"\")\nfor i in range(26)[::-1]:\n print(chr(97+i)*(possible[i]//2),end=\"\")": 0.0, "import sys\ninput=sys.stdin.readline\npossible=[0]*26\nfor i in input().strip():\n possible[ord(i)-96]+=1 # Bug: Wrong ASCII value\ntemp=[]\nfor i in range(26):\n if possible[i]%2: temp.append(i)\nwhile len(temp)>1:\n possible[temp[0]]+=1\n possible[temp[-1]]-=1\n temp.pop(0)\n temp.pop(-1)\nfor i in range(26):\n print(chr(97+i)*(possible[i]//2),end=\"\")\nif temp: print(chr(97+temp[0]),end=\"\")\nfor i in range(26)[::-1]:\n print(chr(97+i)*(possible[i]//2),end=\"\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA string is called palindrome if it reads the same from left to right and from right to left. For example \"kazak\", \"oo\", \"r\" and \"mikhailrubinchikkihcniburliahkim\" are palindroms, but strings \"abb\" and \"ij\" are not.\n\n\n\nYou are given string s consisting of lowercase Latin letters. At once you can choose any position in the string and change letter in that position to any other lowercase letter. So after each changing the length of the string doesn't change. At first you can change some letters in s. Then you can permute the order of letters as you want. Permutation doesn't count as changes. \n\n\n\nYou should obtain palindrome with the minimal number of changes. If there are several ways to do that you should get the lexicographically (alphabetically) smallest palindrome. So firstly you should minimize the number of changes and then minimize the palindrome lexicographically.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains string s (1 \u2264 |s| \u2264 2\u00b710^5) consisting of only lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the lexicographically smallest palindrome that can be obtained with the minimal number of changes.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a positive integer $n$, written without leading zeroes (for example, the number 04 is incorrect). \n\n\n\nIn one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros.\n\n\n\nDetermine the minimum number of operations that you need to consistently apply to the given integer $n$ to make from it the square of some positive integer or report that it is impossible.\n\n\n\nAn integer $x$ is the square of some positive integer if and only if $x=y^2$ for some positive integer $y$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\le n \\le 2 \\cdot 10^{9}$). The number is given without leading zeroes.\n\n\n\n\n\n-----Output-----\n\n\n\nIf it is impossible to make the square of some positive integer from $n$, print -1. In the other case, print the minimal number of operations required to do it.", "responses": { "ar=[]\nfor i in range(1,10**5):\n if(i*i>2*10**9):break\n ar.append(i*i)\ns=input()\nans=len(s)\nfor x in ar:\n s2=str(x)\n i=0\n for x in range(len(s)):\n if i2*10**9):break\n ar.append(i*i)\ns=input()\nans=len(s)\nfor x in ar:\n s2=str(x)\n i=0\n for x in range(len(s)):\n if i2*10**9):break\n ar.append(i*i)\ns=input()\nans=len(s)\nfor x in ar:\n s2=str(x)\n i=0\n for x in range(len(s)):\n if i2*10**9):break)\n ar.append(i*i)\ns=input()\nans=len(s)\nfor x in ar:\n s2=str(x)\n i=0\n for x in range(len(s)):\n if i= N:\n continue\n b = S[k]\n if r != b and g != b:\n ans -= 1\nprint(ans)": 1.0, "N = int(input())\nS = input()\nans = S.count(\"R\") * S.count(\"G\") * S.count(\"B\")\nfor i in range(N-2):\n r = S[i]\n for j in range(i+1,N-1):\n g = S[j]\n if r == g:\n continue\n k = 2*j - i\n if k >= N:\n continue\n b = S[k]\n if r != b or g != b:\n ans -= 1\nprint(ans)": 0.0, "N = int(input())\nS = input()\nans = S.count(\"R\") * S.count(\"G\") * S.count(\"B\")\nfor i in range(N-2):\n r = S[i]\n for j in range(i+1,N-1):\n g = S[j]\n if r == g:\n continue\n k = 2*j - i\n if k >= N-1:\n continue\n b = S[k]\n if r != b and g != b:\n ans -= 1\nprint(ans)": 0.0, "N = int(input())\nS = input()\nans = S.count(\"R\") * S.count(\"G\") * S.count(\"B\")\nfor i in range(N-2):\n r = S[i]\n for j in range(i+1,N-1):\n g = S[j]\n if r == g:\n continue\n k = 2*j - i - 1\n if k >= N:\n continue\n b = S[k]\n if r != b and g != b:\n ans -= 1\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a string S of length N consisting of R, G, and B.\n\nFind the number of triples (i,~j,~k)~(1 \\leq i < j < k \\leq N) that satisfy both of the following conditions:\n\n - S_i \\neq S_j, S_i \\neq S_k, and S_j \\neq S_k.\n\n - j - i \\neq k - j.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 4000\n\n - S is a string of length N consisting of R, G, and B.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nS\n\n\n\n-----Output-----\n\nPrint the number of triplets in question.\n\n\n\n-----Sample Input-----\n\n4\n\nRRGB\n\n\n\n-----Sample Output-----\n\n1\n\n\n\nOnly the triplet (1,~3,~4) satisfies both conditions. The triplet (2,~3,~4) satisfies the first condition but not the second, so it does not count.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given several queries. Each query consists of three integers $p$, $q$ and $b$. You need to answer whether the result of $p/q$ in notation with base $b$ is a finite fraction.\n\n\n\nA fraction in notation with base $b$ is finite if it contains finite number of numerals after the decimal point. It is also possible that a fraction has zero numerals after the decimal point.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\le n \\le 10^5$)\u00a0\u2014 the number of queries.\n\n\n\nNext $n$ lines contain queries, one per line. Each line contains three integers $p$, $q$, and $b$ ($0 \\le p \\le 10^{18}$, $1 \\le q \\le 10^{18}$, $2 \\le b \\le 10^{18}$). All numbers are given in notation with base $10$.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each question, in a separate line, print Finite if the fraction is finite and Infinite otherwise.", "responses": { "import sys\ndef binpow(a, n, p):\n res = 1\n while n > 0:\n if n % 2 == 1:\n res = (res * a) % p\n a = (a * a) % p\n n >>= 1\n return res\ndef main():\n result = []\n \n t = int(sys.stdin.readline())\n for line in sys.stdin.readlines():\n p, q, b = list(map(int, line.split()))\n for i in range(6):\n b = (b * b) % q\n result.extend(list(\"Finite\\n\" if (p * b) % q == 0 else list(\"Infinite\\n\")))\n sys.stdout.write(\"\".join(result))\nmain()": 1.0, "```python\nimport sys\n\ndef binpow(a, n, p):\n res = 1\n while n > 0:\n if n % 2 == 1:\n res = (res * a) % p\n a = (a * a) % p\n n >>= 1\n return res\n \ndef main():\n result = []\n \n t = int(sys.stdin.readline())\n for line in sys.stdin.readlines():\n p, q, b = list(map(int, line.split()))\n for i in range(6):\n **b = (b * b) % q** # Bug 1: Assignment to 'b' should not be done here\n result.extend(list(\"Finite\\n\" if (p * b) % q == 0 else list(\"Infinite\\n\")))\n sys.stdout.write(\"\".join(result))\n\nmain()\n```": 0.0, "```python\nimport sys\n \ndef binpow(a, n, p):\n res = 1\n while n > 0:\n if n % 2 == 1:\n res = (res * a) % p\n a = (a * a) % p\n n >>= 1\n return res\n \ndef main():\n result = []\n \n **t = int(sys.stdin.readline())** # Bug 2: Assignment to 't' should not be done here\n for line in sys.stdin.readlines():\n p, q, b = list(map(int, line.split()))\n for i in range(6):\n b = (b * b) % q\n result.extend(list(\"Finite\\n\" if (p * b) % q == 0 else list(\"Infinite\\n\")))\n sys.stdout.write(\"\".join(result))\n\nmain()\n```": 0.0, "```python\nimport sys\n \ndef binpow(a, n, p):\n res = 1\n while n > 0:\n if n % 2 == 1:\n res = (res * a) % p\n **a = (a * a) % p** # Bug 3: Assignment to 'a' should not be done here\n n >>= 1\n return res\n \ndef main():\n result = []\n \n t = int(sys.stdin.readline())\n for line in sys.stdin.readlines():\n p, q, b = list(map(int, line.split()))\n for i in range(6):\n b = (b * b) % q\n result.extend(list(\"Finite\\n\" if (p * b) % q == 0 else list(\"Infinite\\n\")))\n sys.stdout.write(\"\".join(result))\n\nmain()\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given several queries. Each query consists of three integers $p$, $q$ and $b$. You need to answer whether the result of $p/q$ in notation with base $b$ is a finite fraction.\n\n\n\nA fraction in notation with base $b$ is finite if it contains finite number of numerals after the decimal point. It is also possible that a fraction has zero numerals after the decimal point.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\le n \\le 10^5$)\u00a0\u2014 the number of queries.\n\n\n\nNext $n$ lines contain queries, one per line. Each line contains three integers $p$, $q$, and $b$ ($0 \\le p \\le 10^{18}$, $1 \\le q \\le 10^{18}$, $2 \\le b \\le 10^{18}$). All numbers are given in notation with base $10$.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each question, in a separate line, print Finite if the fraction is finite and Infinite otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary string\u00a0s\u00a0(a string consisting only of '0' and '1's).\n\nReturn the number of substrings with all characters 1's.\n\nSince the answer\u00a0may be too large,\u00a0return it modulo\u00a010^9 + 7.", "responses": { "class Solution:\n def numSub(self, s: str) -> int:\n # 10/6/20\n dic = collections.defaultdict(int)\n \n n = len(s)\n left, right = 0, 0\n while left < n:\n if s[left] == '1':\n right = left\n while right < n and s[right] == '1':\n right += 1\n dic[right-left] += 1\n left = right\n else:\n left += 1\n \n total = 0\n for ones in dic:\n total = (total + (ones *(ones+1)) // 2 * dic[ones]) % (10**9 + 7)\n return total\n \n \n \n ": 1.0, "class Solution:\n def numSub(self, s: str) -> int:\n dic = collections.defaultdict(int)\n \n n = len(s)\n left, right = 0, 0\n while left < n:\n if s[left] == '0': # BUG: Changed to check for '0' instead of '1'\n right = left\n while right < n and s[right] == '1':\n right += 1\n dic[right-left] += 1\n left = right\n else:\n left += 1\n \n total = 0\n for ones in dic:\n total = (total + (ones *(ones+1)) // 2 * dic[ones]) % (10**9 + 7)\n return total": 0.0, "class Solution:\n def numSub(self, s: str) -> int:\n dic = collections.defaultdict(int)\n \n n = len(s)\n left, right = 0, 0\n while right < n: # BUG: Changed condition to check if right < n instead of left < n\n if s[left] == '1':\n right = left\n while right < n and s[right] == '1':\n right += 1\n dic[right-left] += 1\n left = right\n else:\n left += 1\n \n total = 0\n for ones in dic:\n total = (total + (ones *(ones+1)) // 2 * dic[ones]) % (10**9 + 7)\n return total": 0.0, "class Solution:\n def numSub(self, s: str) -> int:\n dic = collections.defaultdict(int)\n \n n = len(s)\n left, right = 0, 0\n while left < n:\n if s[left] == '1':\n right = left\n while right > n and s[right] == '1': # BUG: Changed condition to check if right > n instead of right < n\n right += 1\n dic[right-left] += 1\n left = right\n else:\n left += 1\n \n total = 0\n for ones in dic:\n total = (total + (ones *(ones+1)) // 2 * dic[ones]) % (10**9 + 7)\n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary string\u00a0s\u00a0(a string consisting only of '0' and '1's).\n\nReturn the number of substrings with all characters 1's.\n\nSince the answer\u00a0may be too large,\u00a0return it modulo\u00a010^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Regular Tic-Tac-Toe is boring.\n\n\n\nThat's why in this Kata you will be playing Tic-Tac-Toe in **3D** using a 4 x 4 x 4 matrix!\n\n\n\n\n\n\n\n# Kata Task\n\n\n\nPlay the game. Work out who wins.\n\n\n\nReturn a string\n\n\n\n* `O wins after moves`\n\n* `X wins after moves`\n\n* `No winner`\n\n\n\n# Rules\n\n\n\n* Player `O` always goes first\n\n* Input `moves` is list/array/tuple of `[x,y,z]` (zero based)\n\n* Each player takes a turn until you find a winner, or there are no moves left\n\n* Four of the same symbols in a row wins\n\n* There may be more moves provided than are necessary to finish the game - that is for you to figure out\n\n\n\n\n\n\n\nGood Luck!\n\nDM", "responses": { "from itertools import product\ndef winning_lines(size, dimension):\n if dimension == 1: return frozenset({frozenset({(n,) for n in range(size)})})\n lines = set()\n for line, idx, val in product(winning_lines(size, dimension - 1), range(dimension), range(size)):\n lines.add(frozenset({cell[:idx] + (val,) + cell[idx:] for cell in line}))\n for dirs in product((-1, 1), repeat=dimension - 1):\n lines.add(frozenset(zip(*(range(size)[::d] for d in [1] + list(dirs)))))\n return lines\ndef play_OX_3D(moves):\n grid, lines = [], winning_lines(4, 3)\n for m in moves:\n grid.append(tuple(m))\n if any(line <= set(grid[-1::-2]) for line in lines):\n return '{} wins after {} moves'.format('XO'[len(grid) % 2], len(grid))\n return 'No winner'": 1.0, "from itertools import product\ndef winning_lines(size, dimension):\n if dimension == 1: return frozenset({frozenset({(n,) for n in range(size)})})\n lines = set()\n for line, idx, val in product(winning_lines(size, dimension - 1), range(dimension), range(size)):\n lines.add(frozenset({cell[idx:] + (val,) + cell[:idx] for cell in line}))\n for dirs in product((-1, 1), repeat=dimension - 1):\n lines.add(frozenset(zip(*(range(size)[::d] for d in [1] + list(dirs))))))\n return lines\ndef play_OX_3D(moves):\n grid, lines = [], winning_lines(4, 3)\n for m in moves:\n grid.append(tuple(m))\n if any(line <= set(grid[-1::-2]) for line in lines):\n return '{} wins after {} moves'.format('XO'[len(grid) % 2], len(grid))\n return 'No winner'": 0.0, "from itertools import product\ndef winning_lines(size, dimension):\n if dimension == 1: return frozenset({frozenset({(n,) for n in range(size)})})\n lines = set()\n for line, idx, val in product(winning_lines(size, dimension - 1), range(dimension), range(size)):\n lines.add(frozenset({cell[:idx] + (val,) + cell[idx:] for cell in line}))\n for dirs in product((-1, 1), repeat=dimension - 1):\n lines.add(frozenset(zip(*(range(size)[::d] for d in [1] + list(dirs)))]))\n return lines\ndef play_OX_3D(moves):\n grid, lines = [], winning_lines(4, 3)\n for m in moves:\n grid.append(tuple(m))\n if any(line <= set(grid[-1::-2]) for line in lines):\n return '{} wins after {} moves'.format('XO'[len(grid) % 2], len(grid))\n return 'No winner'": 0.0, "from itertools import product\ndef winning_lines(size, dimension):\n if dimension == 1: return frozenset({frozenset({(n,) for n in range(size)})})\n lines = set()\n for line, idx, val in product(winning_lines(size, dimension - 1), range(dimension), range(size)):\n lines.add(frozenset({cell[:idx] + (val,) + cell[idx:] for cell in line}))\n for dirs in product((-1, 1), repeat=dimension - 1):\n lines.add(frozenset(zip(*(range(size)[:d] for d in [1] + list(dirs))))))\n return lines\ndef play_OX_3D(moves):\n grid, lines = [], winning_lines(4, 3)\n for m in moves:\n grid.append(tuple(m))\n if any(line <= set(grid[-1::-2]) for line in lines):\n return '{} wins after {} moves'.format('XO'[len(grid) % 2], len(grid))\n return 'No winner'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRegular Tic-Tac-Toe is boring.\n\n\n\nThat's why in this Kata you will be playing Tic-Tac-Toe in **3D** using a 4 x 4 x 4 matrix!\n\n\n\n\n\n\n\n# Kata Task\n\n\n\nPlay the game. Work out who wins.\n\n\n\nReturn a string\n\n\n\n* `O wins after moves`\n\n* `X wins after moves`\n\n* `No winner`\n\n\n\n# Rules\n\n\n\n* Player `O` always goes first\n\n* Input `moves` is list/array/tuple of `[x,y,z]` (zero based)\n\n* Each player takes a turn until you find a winner, or there are no moves left\n\n* Four of the same symbols in a row wins\n\n* There may be more moves provided than are necessary to finish the game - that is for you to figure out\n\n\n\n\n\n\n\nGood Luck!\n\nDM\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider the following $4 \\times 4$ pattern:\n\n1 2 4 7\n\n3 5 8 11\n\n6 9 12 14\n\n10 13 15 16\n\n\n\nYou are given an integer $N$. Print the $N \\times N$ pattern of the same kind (containing integers $1$ through $N^2$).\n\n\n\n-----Input-----\n\n- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.\n\n- The first and only line of each test case contains a single integer $N$.\n\n\n\n-----Output-----\n\nFor each test case, print $N$ lines; each of them should contain $N$ space-separated integers.\n\n\n\n-----Constraints-----\n\n- $1 \\le T \\le 10$\n\n- $1 \\le N \\le 100$\n\n\n\n-----Subtasks-----\n\nSubtask #1 (100 points): Original constraints\n\n\n\n-----Example Input-----\n\n1\n\n4\n\n\n\n-----Example Output-----\n\n1 2 4 7\n\n3 5 8 11\n\n6 9 12 14\n\n10 13 15 16\n\n\n\n-----Explanation-----", "responses": { "for i in range(int(input())):\n t=int(input())\n n=0\n for i in range(1,t+1):\n n=n+i\n x=[n]\n y=n\n for j in range(i,t+i-1):\n if j a[i+1]:\n seen += 1\n start = i\n else:\n if a[i] <= a[i+1]:\n end = i\n break\na = a[:start] + a[start:end+1][::-1] + a[end+1:]\nif sorted(a) == a:\n print('yes')\n print(start+1, end+1)\nelse:\n print('no')": 1.0, "n = int(input())\na = list(map(int, input().split()))\nif sorted(a) == a:\n print('yes')\n print('1 1')\nelse:\n print('no')\n return": 0.0, "n = int(input())\na = list(map(int, input().split()))\nif sorted(a) == a:\n print('yes')\n for i in range(n):\n print('1 1')\nelse:\n print('no')\n print('1 1')": 0.0, "n = int(input())\na = list(map(int, input().split()))\nif sorted(a) == a:\n print('yes')\n print('1 1')\n return\nstart = 0\nend = n - 1\nseen = 0\nfor i in range(n-1):\n if not seen:\n if a[i] > a[i+1]:\n seen += 1\n start = i\n else:\n if a[i] < a[i+1]: # Incorrectly using less than instead of greater than\n end = i\n break\na = a[:start] + a[start:end+1][::-1] + a[end+1:]\nif sorted(a) == a:\n print('yes')\n print(start+1, end+1)\nelse:\n print('no')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBeing a programmer, you like arrays a lot. For your birthday, your friends have given you an array a consisting of n distinct integers.\n\n\n\nUnfortunately, the size of a is too small. You want a bigger array! Your friends agree to give you a bigger array, but only if you are able to answer the following question correctly: is it possible to sort the array a (in increasing order) by reversing exactly one segment of a? See definitions of segment and reversing in the notes.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains an integer n (1 \u2264 n \u2264 10^5) \u2014 the size of array a.\n\n\n\nThe second line contains n distinct space-separated integers: a[1], a[2], ..., a[n] (1 \u2264 a[i] \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"yes\" or \"no\" (without quotes), depending on the answer.\n\n\n\nIf your answer is \"yes\", then also print two space-separated integers denoting start and end (start must not be greater than end) indices of the segment to be reversed. If there are multiple ways of selecting these indices, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Okabe needs to renovate the Future Gadget Laboratory after he tried doing some crazy experiments! The lab is represented as an n by n square grid of integers. A good lab is defined as a lab in which every number not equal to 1 can be expressed as the sum of a number in the same row and a number in the same column. In other words, for every x, y such that 1 \u2264 x, y \u2264 n and a_{x}, y \u2260 1, there should exist two indices s and t so that a_{x}, y = a_{x}, s + a_{t}, y, where a_{i}, j denotes the integer in i-th row and j-th column.\n\n\n\nHelp Okabe determine whether a given lab is good!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains the integer n (1 \u2264 n \u2264 50)\u00a0\u2014 the size of the lab. \n\n\n\nThe next n lines contain n space-separated integers denoting a row of the grid. The j-th integer in the i-th row is a_{i}, j (1 \u2264 a_{i}, j \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"Yes\" if the given lab is good and \"No\" otherwise.\n\n\n\nYou can output each letter in upper or lower case.", "responses": { "N = int(input())\ntable = []\nfor i in range(N):\n table.append(list(map(int, input().split())))\nfor i in range(N):\n for j in range(N):\n if table[i][j] == 1:\n continue\n flg = False\n for s in range(N):\n for t in range(N):\n if table[i][j] == table[i][s] + table[t][j]:\n flg = True\n break\n if not flg:\n print(\"No\")\n return\nprint(\"Yes\")": 1.0, "N = int(input())\ntable = []\nfor i in range(N):\n table.append(list(map(int, input().split())))\nfor i in range(N):\n for j in range(N):\n if table[i][j] == 1:\n continue\n flg = False\n for s in range(N):\n for t in range(N):\n if table[i][j] == table[i][s] - table[t][j]:\n flg = True\n break\n if not flg:\n print(\"No\")\n return\nprint(\"Yes\")": 0.0, "N = int(input())\ntable = []\nfor i in range(N):\n table.append(list(map(int, input().split())))\nfor i in range(N):\n for j in range(N):\n if table[i][j] == 1:\n continue\n flg = False\n for s in range(N):\n for t in range(N):\n if table[i][j] == table[i+1][s] + table[t][j]:\n flg = True\n break\n if not flg:\n print(\"No\")\n return\nprint(\"Yes\")": 0.0, "N = int(input())\ntable = []\nfor i in range(N):\n table.append(list(map(int, input().split())))\nfor i in range(N):\n for j in range(N):\n if table[i][j] == 1:\n continue\n flg = False\n for s in range(N):\n for t in range(N):\n if table[i][j] == table[i-1][s] + table[t][j]:\n flg = True\n break\n if not flg:\n print(\"No\")\n return\nprint(\"Yes\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOkabe needs to renovate the Future Gadget Laboratory after he tried doing some crazy experiments! The lab is represented as an n by n square grid of integers. A good lab is defined as a lab in which every number not equal to 1 can be expressed as the sum of a number in the same row and a number in the same column. In other words, for every x, y such that 1 \u2264 x, y \u2264 n and a_{x}, y \u2260 1, there should exist two indices s and t so that a_{x}, y = a_{x}, s + a_{t}, y, where a_{i}, j denotes the integer in i-th row and j-th column.\n\n\n\nHelp Okabe determine whether a given lab is good!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains the integer n (1 \u2264 n \u2264 50)\u00a0\u2014 the size of the lab. \n\n\n\nThe next n lines contain n space-separated integers denoting a row of the grid. The j-th integer in the i-th row is a_{i}, j (1 \u2264 a_{i}, j \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"Yes\" if the given lab is good and \"No\" otherwise.\n\n\n\nYou can output each letter in upper or lower case.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two positive integers $n$ and $k$. Print the $k$-th positive integer that is not divisible by $n$.\n\n\n\nFor example, if $n=3$, and $k=7$, then all numbers that are not divisible by $3$ are: $1, 2, 4, 5, 7, 8, 10, 11, 13 \\dots$. The $7$-th number among them is $10$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $t$ ($1 \\le t \\le 1000$) \u2014 the number of test cases in the input. Next, $t$ test cases are given, one per line.\n\n\n\nEach test case is two positive integers $n$ ($2 \\le n \\le 10^9$) and $k$ ($1 \\le k \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case print the $k$-th positive integer that is not divisible by $n$.\n\n\n\n\n\n-----Example-----\n\nInput\n\n6\n\n3 7\n\n4 12\n\n2 1000000000\n\n7 97\n\n1000000000 1000000000\n\n2 1\n\n\n\nOutput\n\n10\n\n15\n\n1999999999\n\n113\n\n1000000001\n\n1", "responses": { "from sys import *\nfrom collections import *\nfrom math import *\ninput = stdin.readline\ntc = int(input())\nfor tcase in range(tc):\n\tn, k = map(int, input().split())\n\tlo = 1\n\thi = 10 ** 19\n\tans = -1\n\twhile (lo <= hi):\n\t\tmid = (lo + hi) // 2\n\t\tdivi = mid - mid // n\n\t\tif (divi >= k):\n\t\t\tans = mid\n\t\t\thi = mid - 1\n\t\telse:\n\t\t\tlo = mid + 1\n\tprint(ans)": 1.0, "from sys import *\nfrom collections import *\nfrom math import *\ninput = stdin.readline\ntc = int(input())\nfor tcase in range(tc):\n n, k = map(int, input().split())\n lo = 1\n hi = 10 ** 19\n ans = -1\n while (lo <= hi):\n mid = (lo + hi) // 2\n divi = mid - mid // n\n if (divi <= k):\n ans = mid\n hi = mid - 1\n else:\n lo = mid + 1\n print(ans)": 0.0, "from sys import *\nfrom collections import *\nfrom math import *\ninput = stdin.readline\ntc = int(input())\nfor tcase in range(tc):\n n, k = map(int, input().split())\n lo = 1\n hi = 10 ** 19\n ans = -1\n while (lo <= hi):\n mid = (lo + hi) // 2\n divi = mid - mid // n\n if (divi >= k+1):\n ans = mid\n hi = mid - 1\n else:\n lo = mid + 1\n print(ans)": 0.0, "from sys import *\nfrom collections import *\nfrom math import *\ninput = stdin.readline\ntc = int(input())\nfor tcase in range(tc):\n n, k = map(int, input().split())\n lo = 1\n hi = 10 ** 19\n ans = -1\n while (lo <= hi):\n mid = (lo + hi) // 2\n divi = mid - mid // n\n if (divi < k):\n ans = mid\n hi = mid - 1\n else:\n lo = mid + 1\n print(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two positive integers $n$ and $k$. Print the $k$-th positive integer that is not divisible by $n$.\n\n\n\nFor example, if $n=3$, and $k=7$, then all numbers that are not divisible by $3$ are: $1, 2, 4, 5, 7, 8, 10, 11, 13 \\dots$. The $7$-th number among them is $10$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $t$ ($1 \\le t \\le 1000$) \u2014 the number of test cases in the input. Next, $t$ test cases are given, one per line.\n\n\n\nEach test case is two positive integers $n$ ($2 \\le n \\le 10^9$) and $k$ ($1 \\le k \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case print the $k$-th positive integer that is not divisible by $n$.\n\n\n\n\n\n-----Example-----\n\nInput\n\n6\n\n3 7\n\n4 12\n\n2 1000000000\n\n7 97\n\n1000000000 1000000000\n\n2 1\n\n\n\nOutput\n\n10\n\n15\n\n1999999999\n\n113\n\n1000000001\n\n1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given $n$ numbers $a_1, a_2, \\ldots, a_n$. Is it possible to arrange them in a circle in such a way that every number is strictly less than the sum of its neighbors?\n\n\n\nFor example, for the array $[1, 4, 5, 6, 7, 8]$, the arrangement on the left is valid, while arrangement on the right is not, as $5\\ge 4 + 1$ and $8> 1 + 6$. [Image] \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($3\\le n \\le 10^5$)\u00a0\u2014 the number of numbers.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1 \\leq a_i \\le 10^9$)\u00a0\u2014 the numbers. The given numbers are not necessarily distinct (i.e. duplicates are allowed).\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is no solution, output \"NO\" in the first line. \n\n\n\nIf there is a solution, output \"YES\" in the first line. In the second line output $n$ numbers\u00a0\u2014 elements of the array in the order they will stay in the circle. The first and the last element you output are considered neighbors in the circle. If there are multiple solutions, output any of them. You can print the circle starting with any element.", "responses": { "n=int(input())\nl1=list(map(int,input().split()))\nl1.sort()\nl1=l1[::-1]\nans=[-1]*n\ni=0\ny=n-1\nfor j in range(n):\n if j%2==0:\n ans[i]=l1[j]\n i+=1\n else :\n ans[y]=l1[j]\n y-=1\nflag=0\nfor i in range(n):\n if ans[i]>=ans[i-1]+ans[(i+1)%n]:\n flag=1\n break\nif flag==0:\n print(\"YES\")\n print(' '.join(str(x) for x in ans))\nelse :\n print(\"NO\")": 1.0, "n=int(input())\nl1=list(map(int,input().split()))\nl1.sort()\nl1=l1[::-1]\nfor j in range(n):\n if j%2==0:\n ans[i]=l1[j]\n i+=1\n else :\n ans[y]=l1[j]\n y-=1\nflag=0\nfor i in range(n):\n if ans[i]>=ans[i-1]+ans[(i+1)%n]:\n flag=1\n break\nif flag==0:\n print(\"YES\")\n print(' '.join(str(x) for x in ans))\nelse :\n print(\"NO\")": 0.0, "n=int(input())\nl1=list(map(int,input().split()))\nl1.sort()\nans=[-1]*n\ni=0\ny=n-1\nfor j in range(n):\n if j%2==0:\n ans[i]=l1[j]\n i+=1\n else :\n ans[y]=l1[j]\n y-=1\nflag=0\nif flag==0:\n print(\"YES\")\n print(' '.join(str(x) for x in ans))\nelse :\n print(\"NO\")": 0.0, "n=int(input())\nl1=list(map(int,input().split()))\nl1.sort()\nl1=l1[::-1]\nans=[-1]*n\ni=0\ny=n-1\nfor j in range(n):\n if j%2==0:\n ans[i]=l1[j]\n i+=1\n else :\n ans[y]=l1[j]\n y-=1\nflag=0\nfor i in range(n):\n if ans[i]>=ans[i-1]+ans[(i+1)%n]:\n flag=1\n break\nif flag==0:\n print(\"No\")\n print(' '.join(str(x) for x in ans))\nelse :\n print(\"YES\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given $n$ numbers $a_1, a_2, \\ldots, a_n$. Is it possible to arrange them in a circle in such a way that every number is strictly less than the sum of its neighbors?\n\n\n\nFor example, for the array $[1, 4, 5, 6, 7, 8]$, the arrangement on the left is valid, while arrangement on the right is not, as $5\\ge 4 + 1$ and $8> 1 + 6$. [Image] \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($3\\le n \\le 10^5$)\u00a0\u2014 the number of numbers.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1 \\leq a_i \\le 10^9$)\u00a0\u2014 the numbers. The given numbers are not necessarily distinct (i.e. duplicates are allowed).\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is no solution, output \"NO\" in the first line. \n\n\n\nIf there is a solution, output \"YES\" in the first line. In the second line output $n$ numbers\u00a0\u2014 elements of the array in the order they will stay in the circle. The first and the last element you output are considered neighbors in the circle. If there are multiple solutions, output any of them. You can print the circle starting with any element.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Levko loves permutations very much. A permutation of length n is a sequence of distinct positive integers, each is at most n.\n\n\n\nLet\u2019s assume that value gcd(a, b) shows the greatest common divisor of numbers a and b. Levko assumes that element p_{i} of permutation p_1, p_2, ... , p_{n} is good if gcd(i, p_{i}) > 1. Levko considers a permutation beautiful, if it has exactly k good elements. Unfortunately, he doesn\u2019t know any beautiful permutation. Your task is to help him to find at least one of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains two integers n and k (1 \u2264 n \u2264 10^5, 0 \u2264 k \u2264 n).\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print either any beautiful permutation or -1, if such permutation doesn\u2019t exist.\n\n\n\nIf there are multiple suitable permutations, you are allowed to print any of them.", "responses": { "n,k = list(map(int,input().split()))\nif n > 2:\n\tif k == n:\n\t\tprint(\"-1\")\n\telif k < n-1:\n\t\tp = [n]\n\t\tfor i in range(2,k+2):\n\t\t\tp.append(i)\n\t\tp.append(1)\n\t\tfor i in range(k+2,n):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\telif k == n-1:\n\t\tp = []\n\t\tfor i in range(1,n+1):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\t\t\nelif n == 2:\n\tif k == 1:\n\t\tprint(\"1 2\")\n\telif k == 0:\n\t\tprint(\"2 1\")\n\telse:\n\t\tprint(\"-1\")\nelse:\n\tif k == 0:\n\t\tprint(\"1\")\n\telse:\n\t\tprint(\"-1\")": 1.0, "n,k = list(map(int,input().split()))\nif n > 2:\n\tif k == n:\n\t\tprint(\"-1\")\n\telif k < n:\n\t\tp = [n]\n\t\tfor i in range(2,k+2):\n\t\t\tp.append(i)\n\t\tp.append(1)\n\t\tfor i in range(k+2,n):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\telif k == n-1:\n\t\tp = []\n\t\tfor i in range(1,n+1):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\t\t\nelif n == 2:\n\tif k == 1:\n\t\tprint(\"1 2\")\n\telif k == 0:\n\t\tprint(\"2 1\")\n\telse:\n\t\tprint(\"-1\")\nelse:\n\tif k == 0:\n\t\tprint(\"1\")\n\telse:\n\t\tprint(\"-1\")": 0.0, "n,k = list(map(int,input().split()))\nif n > 2:\n\tif k == n:\n\t\tprint(\"-1\")\n\telif k < n-1:\n\t\tp = [n]\n\t\tfor i in range(2,k+2):\n\t\t\tp.append(i)\n\t\tp.append(1)\n\t\tfor i in range(k+2,n+1):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\telif k == n-1:\n\t\tp = []\n\t\tfor i in range(1,n+1):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\t\t\nelif n == 2:\n\tif k == 1:\n\t\tprint(\"1 2\")\n\telif k == 0:\n\t\tprint(\"2 1\")\n\telse:\n\t\tprint(\"-1\")\nelse:\n\tif k == 0:\n\t\tprint(\"1\")\n\telse:\n\t\tprint(\"-1\")": 0.0, "n,k = list(map(int,input().split()))\nif n > 2:\n\tif k == n:\n\t\tprint(\"-1\")\n\telif k < n-1:\n\t\tp = [n]\n\t\tfor i in range(2,k+2):\n\t\t\tp.append(i)\n\t\tp.append(1)\n\t\tfor i in range(k+2,n+1):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\telif k == n-1:\n\t\tp = []\n\t\tfor i in range(1,n):\n\t\t\tp.append(i)\n\t\tprint(*p)\n\t\t\nelif n == 2:\n\tif k == 1:\n\t\tprint(\"1 2\")\n\telif k == 0:\n\t\tprint(\"2 1\")\n\telse:\n\t\tprint(\"-1\")\nelse:\n\tif k == 0:\n\t\tprint(\"1\")\n\telse:\n\t\tprint(\"-1\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLevko loves permutations very much. A permutation of length n is a sequence of distinct positive integers, each is at most n.\n\n\n\nLet\u2019s assume that value gcd(a, b) shows the greatest common divisor of numbers a and b. Levko assumes that element p_{i} of permutation p_1, p_2, ... , p_{n} is good if gcd(i, p_{i}) > 1. Levko considers a permutation beautiful, if it has exactly k good elements. Unfortunately, he doesn\u2019t know any beautiful permutation. Your task is to help him to find at least one of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains two integers n and k (1 \u2264 n \u2264 10^5, 0 \u2264 k \u2264 n).\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print either any beautiful permutation or -1, if such permutation doesn\u2019t exist.\n\n\n\nIf there are multiple suitable permutations, you are allowed to print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s, the power of the string is the maximum length of a non-empty substring that\u00a0contains only one unique character.\n\nReturn the power\u00a0of the string.", "responses": { "class Solution:\n def maxPower(self, s: str) -> int:\n n = len(s) \n count = 0\n res = s[0] \n cur_count = 1\n \n # Traverse string except \n # last character \n for i in range(n): \n \n # If current character \n # matches with next \n if (i < n - 1 and \n s[i] == s[i + 1]): \n cur_count += 1\n \n # If doesn't match, update result \n # (if required) and reset count \n else: \n if cur_count > count: \n count = cur_count \n res = s[i] \n cur_count = 1\n return count \n \n \n ": 1.0, "class Solution:\n def maxPower(self, s: str) -> int:\n n = len(s) \n count = 0\n res = s[0] \n cur_count = 1\n \n # Traverse string except \n # last character \n for i in range(n): \n \n # If current character \n # matches with next \n if (i < n - 1 and \n s[i] == s[i + 1]): \n \n cur_count += 1\n \n # If doesn't match, update result \n # (if required) and reset count \n else: \n if cur_count >= count: \n count = cur_count \n res = s[i] \n cur_count = 1\n return count": 0.0, "class Solution:\n def maxPower(self, s: str) -> int:\n n = len(s) \n count = 0\n res = s[0] \n cur_count = 1\n \n # Traverse string except \n # last character \n for i in range(n): \n \n # If current character \n # matches with next \n if (i < n - 1 and \n s[i] == s[i + 1]): \n cur_count += 2\n \n # If doesn't match, update result \n # (if required) and reset count \n else: \n if cur_count > count: \n count = cur_count \n res = s[i] \n cur_count = 1\n return count": 0.0, "class Solution:\n def maxPower(self, s: str) -> int:\n n = len(s) \n count = 0\n res = s[0] \n cur_count = 1\n \n # Traverse string except \n # last character \n for i in range(n): \n \n # If current character \n # matches with next \n if (i+1 < n and \n s[i] == s[i + 1]): \n cur_count += 1\n \n # If doesn't match, update result \n # (if required) and reset count \n else: \n if cur_count > count: \n count = cur_count \n res = s[i] \n cur_count = 1\n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s, the power of the string is the maximum length of a non-empty substring that\u00a0contains only one unique character.\n\nReturn the power\u00a0of the string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Say you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete at most two transactions.\n\n\n\nNote:\u00a0You may not engage in multiple transactions at the same time (i.e., you must sell the stock before you buy again).", "responses": { "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n tmax_profit = 0\n rmax_profits = [0] * len(prices)\n rmax = -1\n for ii in range(len(prices)-2, -1, -1):\n if (prices[rmax] - prices[ii] > rmax_profits[ii+1]):\n rmax_profits[ii] = prices[rmax] - prices[ii]\n else:\n rmax_profits[ii] = rmax_profits[ii+1]\n if prices[ii] > prices[rmax]:\n rmax = ii\n #print(\"rmax profit = {}\".format(rmax_profits))\n lmin = 0\n lmax_profit = 0\n for ii in range(1, len(prices)):\n profit = prices[ii]-prices[lmin]\n if profit > lmax_profit:\n lmax_profit = profit\n if prices[ii] < prices[lmin]:\n lmin = ii\n tprofit = lmax_profit\n if ii < len(prices)-1:\n tprofit += rmax_profits[ii+1]\n #print(\"ii = {}, rmax_profit = {}, lmax_profit = {}, tprofit = {}\".format(ii, rmax_profits[ii], lmax_profit, tprofit))\n if tprofit > tmax_profit:\n tmax_profit = tprofit\n return tmax_profit if tmax_profit>0 else 0 ": 1.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n tmax_profit = 0\n rmax_profits = [0] * len(prices)\n rmax = -1\n for ii in range(len(prices)-2, -1, -1):\n if (prices[rmax] - prices[ii] > rmax_profits[ii+1]):\n rmax_profits[ii] = prices[rmax] - prices[ii]\n else:\n rmax_profits[ii] = rmax_profits[ii+1]\n return rmax_profits ### BUG: Return statement in the wrong place\n if prices[ii] > prices[rmax]:\n rmax = ii\n lmin = 0\n lmax_profit = 0\n for ii in range(1, len(prices)):\n profit = prices[ii]-prices[lmin]\n if profit > lmax_profit:\n lmax_profit = profit\n if prices[ii] < prices[lmin]:\n lmin = ii\n tprofit = lmax_profit\n if ii < len(prices)-1:\n tprofit += rmax_profits[ii+1]\n if tprofit > tmax_profit:\n tmax_profit = tprofit\n return tmax_profit if tmax_profit>0 else 0": 0.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n tmax_profit = 0\n rmax_profits = [0] * len(prices)\n rmax = -1\n for ii in range(len(prices)-2, -1, -1):\n if (prices[rmax] - prices[ii] > rmax_profits[ii+1]):\n rmax_profits[ii] = prices[rmax] - prices[ii]\n else:\n rmax_profits[ii] = rmax_profits[ii+1]\n rmax = ii ### BUG: Incorrect assignment of rmax variable\n lmin = 0\n lmax_profit = 0\n for ii in range(1, len(prices)):\n profit = prices[ii]-prices[lmin]\n if profit > lmax_profit:\n lmax_profit = profit\n if prices[ii] < prices[lmin]:\n lmin = ii\n tprofit = lmax_profit\n if ii < len(prices)-1:\n tprofit += rmax_profits[ii+1]\n if tprofit > tmax_profit:\n tmax_profit = tprofit\n return tmax_profit if tmax_profit>0 else 0": 0.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n tmax_profit = 0\n rmax_profits = [0] * len(prices)\n rmax = -1\n for ii in range(len(prices)-2, -1, -1):\n if (prices[rmax] - prices[ii] > rmax_profits[ii+1]):\n rmax_profits[ii] = prices[rmax] - prices[ii]\n else:\n rmax_profits[ii] = rmax_profits[ii+1]\n if prices[ii] > prices[rmax]:\n rmax = ii\n lmin = 0\n lmax_profit = 0\n for ii in range(1, len(prices)):\n profit = prices[ii]-prices[lmin]\n if profit > lmax_profit:\n lmax_profit = profit\n if prices[ii] < prices[lmin]:\n lmin = ii\n tprofit = lmax_profit\n if ii < len(prices)-2: ### BUG: Incorrect condition\n tprofit += rmax_profits[ii+1]\n if tprofit > tmax_profit:\n tmax_profit = tprofit\n return tmax_profit if tmax_profit>0 else 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSay you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete at most two transactions.\n\n\n\nNote:\u00a0You may not engage in multiple transactions at the same time (i.e., you must sell the stock before you buy again).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two arrays $a$ and $b$, each contains $n$ integers.\n\n\n\nYou want to create a new array $c$ as follows: choose some real (i.e. not necessarily integer) number $d$, and then for every $i \\in [1, n]$ let $c_i := d \\cdot a_i + b_i$.\n\n\n\nYour goal is to maximize the number of zeroes in array $c$. What is the largest possible answer, if you choose $d$ optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of elements in both arrays.\n\n\n\nThe second line contains $n$ integers $a_1$, $a_2$, ..., $a_n$ ($-10^9 \\le a_i \\le 10^9$).\n\n\n\nThe third line contains $n$ integers $b_1$, $b_2$, ..., $b_n$ ($-10^9 \\le b_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum number of zeroes in array $c$, if you choose $d$ optimally.", "responses": { "import collections\nimport math\ninput()\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncounts = collections.defaultdict(int)\narbitrary = 0\nfor ai, bi in zip(a, b):\n if ai == 0:\n if bi == 0:\n arbitrary += 1\n else:\n if bi == 0:\n counts[(0, 0)] += 1\n else:\n if (ai < 0 and bi < 0) or (ai >= 0 and bi < 0):\n ai = -ai\n bi = -bi\n g = math.gcd(-bi, ai)\n counts[(-bi // g, ai // g)] += 1\nif counts:\n print(max(counts.values()) + arbitrary)\nelse:\n print(arbitrary)": 1.0, "import collections\nimport math\ninput()\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncounts = collections.defaultdict(int)\narbitrary = 0\nfor ai, bi in zip(a, b):\n if ai == 0:\n if bi == 0:\n arbitrary += 1\n else:\n if bi == 0:\n else:\n if (ai < 0 and bi < 0) or (ai >= 0 and bi < 0):\n ai = -ai\n bi = -bi\n g = math.gcd(-bi, ai)\n counts[(-bi // g, ai // g)] += 1\nif counts:\n print(max(counts.values()) + arbitrary)\nelse:\n print(arbitrary)": 0.0, "import collections\nimport math\ninput()\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncounts = collections.defaultdict(int)\narbitrary = 0\nfor ai, bi in zip(a, b):\n if ai == 0:\n if bi == 0:\n arbitrary += 1\n else:\n if bi == 0:\n counts[(0, 0)] += 1\n else:\n if ai < 0 and bi < 0 or ai >= 0 and bi < 0:\n ai = -ai\n bi = -bi\n g = math.gcd(-bi, ai)\n counts[(-bi // g, ai // g)] += 1\nif counts:\n print(max(counts.values()) + arbitrary)\nelse:\n print(arbitrary)": 0.0, "import collections\nimport math\ninput()\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncounts = collections.defaultdict(int)\narbitrary = 0\nfor ai, bi in zip(a, b):\n if ai == 0:\n if bi == 0:\n arbitrary += 1\n else:\n if bi == 0:\n counts[(0, 0)] += 1\n else:\n if (ai < 0 and bi < 0) or ai >= 0 and bi < 0:\n ai = -ai\n bi = -bi\n g = math.gcd(-bi, ai\n counts[(-bi // g, ai // g)] += 1\nif counts:\n print(max(counts.values()) + arbitrary)\nelse:\n print(arbitrary)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two arrays $a$ and $b$, each contains $n$ integers.\n\n\n\nYou want to create a new array $c$ as follows: choose some real (i.e. not necessarily integer) number $d$, and then for every $i \\in [1, n]$ let $c_i := d \\cdot a_i + b_i$.\n\n\n\nYour goal is to maximize the number of zeroes in array $c$. What is the largest possible answer, if you choose $d$ optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of elements in both arrays.\n\n\n\nThe second line contains $n$ integers $a_1$, $a_2$, ..., $a_n$ ($-10^9 \\le a_i \\le 10^9$).\n\n\n\nThe third line contains $n$ integers $b_1$, $b_2$, ..., $b_n$ ($-10^9 \\le b_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum number of zeroes in array $c$, if you choose $d$ optimally.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The preferred way to generate user login in Polygon is to concatenate a prefix of the user's first name and a prefix of their last name, in that order. Each prefix must be non-empty, and any of the prefixes can be the full name. Typically there are multiple possible logins for each person.\n\n\n\nYou are given the first and the last name of a user. Return the alphabetically earliest login they can get (regardless of other potential Polygon users).\n\n\n\nAs a reminder, a prefix of a string s is its substring which occurs at the beginning of s: \"a\", \"ab\", \"abc\" etc. are prefixes of string \"{abcdef}\" but \"b\" and 'bc\" are not. A string a is alphabetically earlier than a string b, if a is a prefix of b, or a and b coincide up to some position, and then a has a letter that is alphabetically earlier than the corresponding letter in b: \"a\" and \"ab\" are alphabetically earlier than \"ac\" but \"b\" and \"ba\" are alphabetically later than \"ac\".\n\n\n\n\n\n-----Input-----\n\n\n\nThe input consists of a single line containing two space-separated strings: the first and the last names. Each character of each string is a lowercase English letter. The length of each string is between 1 and 10, inclusive. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single string\u00a0\u2014 alphabetically earliest possible login formed from these names. The output should be given in lowercase as well.", "responses": { "from collections import *\nimport itertools\nimport sys\ndef main():\n a, b = input().split()\n ans = a + b\n n = len(a)\n m = len(b)\n for i in range(1, n + 1):\n for j in range(1, m + 1):\n c = a[:i] + b[:j]\n # print(c)\n ans = min(ans, c)\n print(ans)\nmain()": 1.0, "from collections import *\nimport itertools\nimport sys\ndef main():\n a, b = input().split()\n ans = a + b\n n = len(a)\n m = len(b)\n for i in range(1, n + 1):\n for j in range(1, m + 1):\n c = a[:i] + b[:j]\n # print(c)\n ans = min(ans, c)\n print(ans)\nmain()": 0.0, "from collections import *\nimport itertools\nimport sys\ndef main():\n a, b = input().split()\n ans = a + b\n n = len(a)\n m = len(b)\n for i in range(1, n + 1):\n for j in range(1, m + 1):\n c = a[:i] + b[:j]\n # print(c)\n ans += min(ans, c)\n print(ans)\nmain()": 0.0, "from collections import *\nimport itertools\nimport sys\ndef main():\n a, b = input().split()\n ans = a + b\n n = len(a)\n m = len(b)\n for i in range(1, n + 1):\n for j in range(1, m + 1):\n c = a[:i] + b[:j]\n # print(c)\n ans = min(c, ans)\n print(ans)\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe preferred way to generate user login in Polygon is to concatenate a prefix of the user's first name and a prefix of their last name, in that order. Each prefix must be non-empty, and any of the prefixes can be the full name. Typically there are multiple possible logins for each person.\n\n\n\nYou are given the first and the last name of a user. Return the alphabetically earliest login they can get (regardless of other potential Polygon users).\n\n\n\nAs a reminder, a prefix of a string s is its substring which occurs at the beginning of s: \"a\", \"ab\", \"abc\" etc. are prefixes of string \"{abcdef}\" but \"b\" and 'bc\" are not. A string a is alphabetically earlier than a string b, if a is a prefix of b, or a and b coincide up to some position, and then a has a letter that is alphabetically earlier than the corresponding letter in b: \"a\" and \"ab\" are alphabetically earlier than \"ac\" but \"b\" and \"ba\" are alphabetically later than \"ac\".\n\n\n\n\n\n-----Input-----\n\n\n\nThe input consists of a single line containing two space-separated strings: the first and the last names. Each character of each string is a lowercase English letter. The length of each string is between 1 and 10, inclusive. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single string\u00a0\u2014 alphabetically earliest possible login formed from these names. The output should be given in lowercase as well.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array nums of integers, return how many of them contain an even number of digits.", "responses": { "class Solution:\n \n def findNumbers(self, nums: List[int]) -> int:\n def has_even_digits(number: int):\n if number < 10:\n return False\n elif number < 100:\n return True\n elif number < 1000:\n return False\n elif number < 10000:\n return True\n elif number < 100000:\n return False\n return True\n return sum([1 for num in nums if has_even_digits(num)])": 1.0, "class Solution:\n \n def findNumbers(self, nums: List[int]) -> int:\n def has_even_digits(number: int):\n if number < 10:\n return False\n elif number < 100:\n return True\n elif number < 1000:\n return False\n elif number < 10000:\n return False\n elif number < 100000:\n return False\n return True\n return sum([1 for num in nums if has_even_digits(num)])": 0.0, "class Solution:\n \n def findNumbers(self, nums: List[int]) -> int:\n def has_even_digits(number: int):\n if number < 10:\n return False\n elif number < 100:\n return False\n elif number < 1000:\n return True\n elif number < 10000:\n return False\n elif number < 100000:\n return False\n return True\n return sum([1 for num in nums if has_even_digits(num)])": 0.0, "class Solution:\n \n def findNumbers(self, nums: List[int]) -> int:\n def has_even_digits(number: int):\n if number < 10:\n return False\n elif number < 100:\n return False\n elif number < 1000:\n return False\n elif number < 10000:\n return True\n elif number < 100000:\n return False\n return True\n return sum([1 for num in nums if has_even_digits(num)])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array nums of integers, return how many of them contain an even number of digits.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a complete binary tree, count the number of nodes.\n\n\n\nNote: \n\n\n\nDefinition of a complete binary tree from Wikipedia:\n\nIn a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.\n\n\n\nExample:\n\n\n\n\n\nInput: \n\n 1\n\n / \\\n\n 2 3\n\n / \\ /\n\n4 5 6\n\n\n\nOutput: 6", "responses": { " # class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def countNodes(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n node = root\n depth = 0\n while node:\n depth += 1\n node = node.left\n \n if depth <= 1:\n return depth\n \n lo, hi = 0, 2**(depth-2)\n while lo < hi:\n l = depth-3\n mi = (lo+hi)//2\n node = root\n while l >= 0:\n d = mi & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n if node.left and node.right:\n lo = mi+1\n elif not node.left and not node.right:\n hi = mi\n else:\n break\n l, node = depth-3, root\n while l >= 0:\n d = mi & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n return 2**(depth-1)-1 + 2*mi + int(node.left is not None) + int(node.right is not None)": 1.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def countNodes(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n node = root\n depth = 0\n while node:\n depth += 1\n node = node.left\n \n if depth <= 1:\n return depth\n \n lo, hi = 0, 2**(depth-2)\n while lo < hi:\n mid = (lo+hi)//2\n node = root\n l = depth-3\n while l >= 0:\n d = mid & 2**l\n node = node.right if d else node.left\n l -= 1\n if node.left and node.right:\n lo = mid+1\n elif not node.left and not node.right:\n hi = mid\n else:\n break\n l, node = depth-3, root\n while l >= 0:\n d = mid & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n return 2**(depth-1)-1 + 2*mid + int(node.left is not None) + int(node.right is not None)": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def countNodes(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n node = root\n depth = 0\n while node:\n depth += 1\n node = node.left\n \n if depth <= 1:\n return depth\n \n lo, hi = 0, 2**(depth-2)\n while lo < hi:\n mid = (lo+hi)//2\n node = root\n l = depth-3\n while l >= 0:\n d = mid * 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n if node.left and node.right:\n lo = mid+1\n elif not node.left and not node.right:\n hi = mid\n else:\n break\n l, node = depth-3, root\n while l >= 0:\n d = mid & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n return 2**(depth-1)-1 + 2*mid + int(node.left is not None) + int(node.right is not None)": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def countNodes(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n node = root\n depth = 0\n while node:\n depth += 1\n node = node.left\n \n if depth <= 1:\n return depth\n \n lo, hi = 0, 2**(depth-2)\n while lo < hi:\n mid = lo+hi\n node = root\n l = depth-3\n while l >= 0:\n d = mid & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n if node.left and node.right:\n lo = mid+1\n elif not node.left and not node.right:\n hi = mid\n else:\n break\n l, node = depth-3, root\n while l >= 0:\n d = mid & 2**l\n node = node.right if d > 0 else node.left\n l -= 1\n return 2**(depth-1)-1 + 2*mid + int(node.left is not None) + int(node.right is not None)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a complete binary tree, count the number of nodes.\n\n\n\nNote: \n\n\n\nDefinition of a complete binary tree from Wikipedia:\n\nIn a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.\n\n\n\nExample:\n\n\n\n\n\nInput: \n\n 1\n\n / \\\n\n 2 3\n\n / \\ /\n\n4 5 6\n\n\n\nOutput: 6\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a sentence\u00a0text (A\u00a0sentence\u00a0is a string of space-separated words) in the following format:\n\n\n\nFirst letter is in upper case.\n\nEach word in text are separated by a single space.\n\n\n\nYour task is to rearrange the words in text such that\u00a0all words are rearranged in an increasing order of their lengths. If two words have the same length, arrange them in their original order.\n\nReturn the new text\u00a0following the format shown above.", "responses": { "class Solution:\n def arrangeWords(self, text: str) -> str:\n p=text.split(' ')\n final=''\n j=sorted(p,key=len)\n temp=' '.join(j)\n if temp[0]>='a' and temp[0]<='z':\n s=temp[0].swapcase()\n final=final+s[0]\n else:\n final=final+temp[0]\n for i in range(1,len(temp)):\n if temp[i]>='A' and temp[i]<='Z':\n s=temp[i].swapcase()\n final=final+s[0]\n else:\n final=final+temp[i]\n return final\n ": 1.0, "class Solution:\n def arrangeWords(self, text: str) -> str:\n p=text.split(' ')\n final=''\n j=sorted(p,key=len)\n temp=' '.join(j)\n if temp[0]>='a' and temp[0]<='z':\n s=temp[0].swapcase()\n final=final+s[0]\n else:\n final=final+temp[0]\n for i in range(1,len(temp)):\n if temp[i]>='A' and temp[i]<='Z':\n s=temp[i].swapcase()\n final=final+s[0]\n else:\n final=final+temp[i]\n return final": 0.0, "class Solution:\n def arrangeWords(self, text: str) -> str:\n p=text.split(' ')\n final=''\n j=sorted(p,key=len)\n temp=' '.join(j)\n if temp[0]>='a' and temp[0]<='z':\n s=temp[0].swapcase()\n final=final+s[0]\n else:\n final=final+temp[0]\n for i in range(1,len(temp)):\n if temp[i]>='A' and temp[i]<='Z':\n s=temp[i].swapcase()\n final=final+s[0]\n return final": 0.0, "class Solution:\n def arrangeWords(self, text: str) -> str:\n p=text.split(' ')\n final=''\n j=sorted(p,key=len)\n temp=' '.join(j)\n if temp[0]>='a' and temp[0]<='z':\n s=temp[0].swapcase()\n final=final+s[0]\n else:\n final=final+temp[0]\n for i in range(1,len(temp)):\n if temp[i]>='A' and temp[i]<='Z':\n s=temp[i].swapcase()\n final=final+s\n else:\n final=final+temp[i]\n return final": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a sentence\u00a0text (A\u00a0sentence\u00a0is a string of space-separated words) in the following format:\n\n\n\nFirst letter is in upper case.\n\nEach word in text are separated by a single space.\n\n\n\nYour task is to rearrange the words in text such that\u00a0all words are rearranged in an increasing order of their lengths. If two words have the same length, arrange them in their original order.\n\nReturn the new text\u00a0following the format shown above.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a collection of intervals, find the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.\n\n\n\n\n\nNote:\n\n\n\nYou may assume the interval's end point is always bigger than its start point.\n\nIntervals like [1,2] and [2,3] have borders \"touching\" but they don't overlap each other.", "responses": { " # class Interval:\n # def __init__(self, s=0, e=0):\n # self.start = s\n # self.end = e\n \n class Solution:\n def eraseOverlapIntervals(self, intervals):\n \"\"\"\n :type intervals: List[Interval]\n :rtype: int\n \"\"\"\n intervals = sorted(intervals, key = lambda x: x.end)\n current_end = float('-inf')\n cnt = 0\n for interval in intervals:\n if interval.start >= current_end:\n cnt += 1\n current_end = interval.end\n return len(intervals) - cnt\n ": 1.0, "# class Interval:\n # def __init__(self, s=0, e=0):\n # self.start = s\n # self.end = e\n \n class Solution:\n def eraseOverlapIntervals(self, intervals):\n \"\"\"\n :type intervals: List[Interval]\n :rtype: int\n \"\"\"\n intervals = sorted(intervals, key = lambda x: x.start) # Bug: Sorting by start instead of end\n current_end = float('-inf')\n cnt = 0\n for interval in intervals:\n if interval.start >= current_end:\n cnt += 1\n current_end = interval.end\n return len(intervals) - cnt": 0.0, "# class Interval:\n # def __init__(self, s=0, e=0):\n # self.start = s\n # self.end = e\n \n class Solution:\n def eraseOverlapIntervals(self, intervals):\n \"\"\"\n :type intervals: List[Interval]\n :rtype: int\n \"\"\"\n intervals = sorted(intervals) # Bug: Not passing the sorting key\n current_end = float('-inf')\n cnt = 0\n for interval in intervals:\n if interval.start >= current_end:\n cnt += 1\n current_end = interval.end\n return len(intervals) - cnt": 0.0, "# class Interval:\n # def __init__(self, s=0, e=0):\n # self.start = s\n # self.end = e\n \n class Solution:\n def eraseOverlapIntervals(self, intervals):\n \"\"\"\n :type intervals: List[Interval]\n :rtype: int\n \"\"\"\n intervals = sorted(intervals, key = lambda x: x.end)\n current_end = float('-inf')\n cnt = 0\n for interval in intervals:\n if interval.start > current_end: # Bug: Using \">\" instead of \">=\"\n cnt += 1\n current_end = interval.end\n return len(intervals) - cnt": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a collection of intervals, find the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.\n\n\n\n\n\nNote:\n\n\n\nYou may assume the interval's end point is always bigger than its start point.\n\nIntervals like [1,2] and [2,3] have borders \"touching\" but they don't overlap each other.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given a linked list with\u00a0head\u00a0as the first node.\u00a0 Let's number the\u00a0nodes in the list: node_1, node_2, node_3, ... etc.\n\nEach node may have a next larger value: for node_i,\u00a0next_larger(node_i)\u00a0is the node_j.val such that j > i, node_j.val > node_i.val, and j is the smallest possible choice.\u00a0 If such a j\u00a0does not exist, the next larger value is 0.\n\nReturn an array of integers\u00a0answer, where answer[i] = next_larger(node_{i+1}).\n\nNote that in the example inputs\u00a0(not outputs) below, arrays such as [2,1,5]\u00a0represent the serialization of a linked list with a head node value of 2, second node value of 1, and third node value of 5.", "responses": { "class Solution:\n def nextLargerNodes(self, head: ListNode) -> List[int]:\n if head==None:\n return 0\n temp=head\n arr=[]\n stack=[]\n while temp:\n arr.append(temp.val)\n temp=temp.__next__\n output=[0]*len(arr)\n for i in range(len(arr)):\n while stack and arr[stack[-1]] List[int]:\n if head==None:\n return 0\n temp=head\n arr=[]\n stack=[]\n while temp:\n arr.append(temp.val)\n temp=temp.__next__\n output=[0]*len(arr)\n for i in range(len(arr)):\n while stack and arr[stack[-1]] List[int]:\n if head == None:\n return []\n temp = head\n arr = []\n stack = []\n while temp:\n arr.append(temp.val)\n temp = temp.__next__\n output = [0] * len(arr)\n for i in range(len(arr)):\n while stack and arr[stack[-1]] < arr[i]:\n output[stack.pop()] = arr[i]\n stack.append(i)\n return output": 0.0, "class Solution:\n def nextLargerNodes(self, head: ListNode) -> List[int]:\n if head==None:\n return []\n temp=head\n arr=[]\n stack=[]\n while temp:\n arr.append(temp.val)\n temp = temp.__next__\n output=[0]*len(arr)\n for i in range(len(arr)):\n while stack and arr[stack[-1]] < arr[i]:\n output[stack.pop()]=arr[i]\n stack.append(i)\n return output": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given a linked list with\u00a0head\u00a0as the first node.\u00a0 Let's number the\u00a0nodes in the list: node_1, node_2, node_3, ... etc.\n\nEach node may have a next larger value: for node_i,\u00a0next_larger(node_i)\u00a0is the node_j.val such that j > i, node_j.val > node_i.val, and j is the smallest possible choice.\u00a0 If such a j\u00a0does not exist, the next larger value is 0.\n\nReturn an array of integers\u00a0answer, where answer[i] = next_larger(node_{i+1}).\n\nNote that in the example inputs\u00a0(not outputs) below, arrays such as [2,1,5]\u00a0represent the serialization of a linked list with a head node value of 2, second node value of 1, and third node value of 5.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer\u00a0N, how many ways can we write it as a sum of\u00a0consecutive positive integers?", "responses": { "class Solution:\n def consecutiveNumbersSum(self, N: int) -> int:\n res = 1\n \n # Remove all even factors\n while N % 2 == 0:\n N //= 2\n \n # Count all odd factors\n idx = 3 \n while idx * idx <= N:\n count = 0\n \n # found an odd factor\n while N % idx == 0:\n N //= idx\n count += 1\n \n res *= count + 1\n idx += 2\n \n return res if N == 1 else res * 2": 1.0, "class Solution:\n def consecutiveNumbersSum(self, N: int) -> int:\n res = 1\n \n # Remove all even factors\n while N % 2 == 0:\n N //= 2\n \n # Count all odd factors\n idx = 3 \n while idx * idx * idx <= N:\n count = 0\n \n # found an odd factor\n while N % idx == 0:\n N //= idx\n count += 1\n \n res *= count + 1\n idx += 2\n \n return res if N == 1 else res * 2": 0.0, "class Solution:\n def consecutiveNumbersSum(self, N: int) -> int:\n res = 1\n \n # Remove all even factors\n while N % 2 == 0:\n N //= 2\n \n # Count all odd factors\n idx = 3 \n while idx * idx <= N:\n count = 0\n \n # found an odd factor\n while N % idx == 0:\n N //= idx\n count -= 1\n \n res *= count + 1\n idx += 2\n \n return res if N == 1 else res * 2": 0.0, "class Solution:\n def consecutiveNumbersSum(self, N: int) -> int:\n res = 1\n \n # Remove all even factors\n while N % 2 == 1:\n N //= 2\n \n # Count all odd factors\n idx = 3 \n while idx * idx <= N:\n count = 0\n \n # found an odd factor\n while N % idx == 0:\n N //= idx\n count += \"1\"\n \n res *= count + 1\n idx += 2\n \n return res if N == 1 else res * 2": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer\u00a0N, how many ways can we write it as a sum of\u00a0consecutive positive integers?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a program to find the\u00a0n-th ugly number.\n\nUgly numbers are\u00a0positive integers\u00a0which are divisible by\u00a0a\u00a0or\u00a0b\u00a0or c.", "responses": { "class Solution:\n def nthUglyNumber(self, n: int, a: int, b: int, c: int) -> int:\n \n def enough(num):\n total = num//a + num//b + num//c -num//ab - num//bc - num//ac + num//abc\n return total>=n\n \n \n ab = (a*b)//math.gcd(a,b)\n ac = (a*c)//math.gcd(a,c)\n bc = (b*c)//math.gcd(b,c)\n abc = (a*bc)//math.gcd(a,bc)\n \n \n left , right = 1, min(a,b,c)*n\n \n while left < right:\n mid = left+ (right-left)//2\n if enough(mid): right = mid\n else : left = mid + 1\n \n return left": 1.0, "def remove_vowels(s: str) -> str:\n vowels = ['a', 'e', 'i', 'o', 'u']\n new_str = \"\"\n for char in s:\n if char not in vowels:\n new_str += char\n return new_str": 0.0, "def remove_vowels(s: list) -> str:\n vowels = ['a', 'e', 'i', 'o', 'u']\n new_str = \"\"\n for char in s:\n if char.lower() not in vowels:\n new_str += char\n return new_str": 0.0, "def remove_vowels(s: str) -> str:\n vowels = ['a', 'e', 'i', 'o', 'u']\n new_str = \"\"\n for char in s:\n if char.lower() in vowels:\n continue\n new_str += char\n return new_str": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a program to find the\u00a0n-th ugly number.\n\nUgly numbers are\u00a0positive integers\u00a0which are divisible by\u00a0a\u00a0or\u00a0b\u00a0or c.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is a room with n lights which are turned on initially and 4 buttons on the wall. After performing exactly m unknown operations towards buttons, you need to return how many different kinds of status of the n lights could be.\n\n\n\n\n\n\n\nSuppose n lights are labeled as number [1, 2, 3 ..., n], function of these 4 buttons are given below:\n\n\n\n\n\nFlip all the lights.\n\nFlip lights with even numbers.\n\nFlip lights with odd numbers.\n\nFlip lights with (3k + 1) numbers, k = 0, 1, 2, ...", "responses": { "class Solution:\n def flipLights(self, n, m):\n \"\"\"\n :type n: int\n :type m: int\n :rtype: int\n \"\"\"\n states = set()\n for op_odd in [0, 1]:\n for op_even in [0, 1]:\n for op_third in [0, 1]:\n op_all = m - op_odd - op_even - op_third\n if op_all >= 0:\n one = (op_odd + op_all + op_third) % 2\n two = (op_even + op_all) % 2\n three = op_odd % 2\n four = (op_even + op_all + op_third) % 2\n states.add((one, two, three, four)[:n])\n \n return len(states)": 1.0, "class Solution:\n def flipLights(self, n, m):\n \"\"\"\n :type n: int\n :type m: int\n :rtype: int\n \"\"\"\n states = set()\n for op_odd in [0, 1]:\n for op_even in [0, 1]:\n for op_third in [0, 1]:\n op_all = m - op_odd - op_even - op_third\n if op_all >= 0:\n one = (op_odd + op_all + op_third) % 2\n two = (op_even + op_all) % 2\n three = (op_odd + op_all) % 2\n four = (op_even + op_all + op_third) % 2\n states.add((one, two, three, four)[:n])\n \n return len(states)": 0.0, "class Solution:\n def flipLights(self, n, m):\n \"\"\"\n :type n: int\n :type m: int\n :rtype: int\n \"\"\"\n states = set()\n for op_odd in [0, 1]:\n for op_even in [0, 1]:\n for op_third in [0, 1]:\n op_all = m - op_odd - op_even - op_third\n if op_all <= 0: ## This is incorrect because it should be `if op_all >= 0:`\n one = (op_odd + op_all + op_third) % 2\n two = (op_even + op_all) % 2\n three = op_odd % 2\n four = (op_even + op_all + op_third) % 2\n states.add((one, two, three, four)[:n])\n \n return len(states)": 0.0, "class Solution:\n def flipLights(self, n, m):\n \"\"\"\n :type n: int\n :type m: int\n :rtype: int\n \"\"\"\n states = set()\n for op_odd in [0, 1]:\n for op_even in [0, 1]:\n for op_third in [0, 1]:\n op_all = m - op_odd - op_even - op_third\n if op_all >= 0:\n one = (op_odd + op_all + op_third) % 2\n two = (op_even + op_all) % 2\n ## Missing line six\n four = (op_even + op_all + op_third) % 2\n states.add((one, two, three, four)[:n])\n \n return len(states)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is a room with n lights which are turned on initially and 4 buttons on the wall. After performing exactly m unknown operations towards buttons, you need to return how many different kinds of status of the n lights could be.\n\n\n\n\n\n\n\nSuppose n lights are labeled as number [1, 2, 3 ..., n], function of these 4 buttons are given below:\n\n\n\n\n\nFlip all the lights.\n\nFlip lights with even numbers.\n\nFlip lights with odd numbers.\n\nFlip lights with (3k + 1) numbers, k = 0, 1, 2, ...\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 10^9 + 7 (the remainder when divided by 10^9 + 7).\n\n\n\nThe modulo operator a mod b stands for the remainder after dividing a by b. For example 10 mod 3 = 1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers n, m (1 \u2264 n, m \u2264 10^13) \u2014 the parameters of the sum.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint integer s \u2014 the value of the required sum modulo 10^9 + 7.", "responses": { "import math\nMOD = int( 1e9 + 7 )\nN, M = map( int, input().split() )\nsn = int( math.sqrt( N ) )\nans = N * M % MOD\nfor i in range( 1, min( sn, M ) + 1, 1 ):\n ans -= N // i * i\nans %= MOD\nif N // ( sn + 1 ) > M:\n exit( print( ans ) )\nfor f in range( N // ( sn + 1 ), 0, -1 ):\n s = lambda x: x * ( x + 1 ) // 2\n if N // f > M:\n ans -= f * ( s( M ) - s( N // ( f + 1 ) ) )\n break\n ans -= f * ( s( N // f ) - s( N // ( f + 1 ) ) )\nans %= MOD\nif ans < 0:\n ans += MOD\nprint( ans )": 1.0, "import math\nMOD = int( 1e9 + 7 )\nN, M = map( int, input().split() )\nsn = int( math.sqrt( N ) )\nans = N * M % MOD\nfor i in range( 1, min( sn, M ) + 1, 1 ):\n ans *= N // i * i\nans %= MOD\nif N // ( sn + 1 ) > M:\n exit( print( ans ) )\nfor f in range( N // ( sn + 1 ), 0, -1 ):\n s = lambda x: x * ( x + 1 ) // 2\n if N // f > M:\n ans -= f * ( s( M ) - s( N // ( f + 1 ) ) )\n break\n ans -= f * ( s( N // f ) - s( N // ( f + 1 ) ) )\nans %= MOD\nif ans < 0:\n ans += MOD\nprint( ans )": 0.0, "import math\nMOD = int( 1e9 + 7 )\nN, M = map( int, input().split() )\nsn = int( math.sqrt( N ) )\nans = N * M % MOD\nfor i in range( 1, min( sn, M ) + 1, 1 ):\n ans -= N // i * i\nans = abs(ans) % MOD\nif N // ( sn + 1 ) > M:\n exit( print( ans ) )\nfor f in range( N // ( sn + 1 ), 0, -1 ):\n s = lambda x: x * ( x + 1 ) // 2\n if N // f > M:\n ans -= f * ( s( M ) - s( N // ( f + 1 ) ) )\n break\n ans -= f * ( s( N // f ) - s( N // ( f + 1 ) ) )\nans %= MOD\nif ans < 0:\n ans += MOD\nprint( ans )": 0.0, "import math\nMOD = int( 1e9 + 7 )\nN, M = map( int, input().split() )\nsn = int( math.sqrt( N ) )\nans = N * M % MOD\nfor i in range( 1, min( sn, M ) + 1, 1 ):\n ans -= N // i + i\nans %= MOD\nif N // ( sn + 1 ) > M:\n exit( print( ans ) )\nfor f in range( N // ( sn + 1 ), 0, -1 ):\n s = lambda x: x * ( x + 1 ) // 2\n if N // f > M:\n ans -= f * ( s( M ) - s( N // ( f + 1 ) ) )\n break\n ans -= f * ( s( N // f ) - s( N // ( f + 1 ) ) )\nans %= MOD\nif ans < 0:\n ans += MOD\nprint( ans )": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCalculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 10^9 + 7 (the remainder when divided by 10^9 + 7).\n\n\n\nThe modulo operator a mod b stands for the remainder after dividing a by b. For example 10 mod 3 = 1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers n, m (1 \u2264 n, m \u2264 10^13) \u2014 the parameters of the sum.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint integer s \u2014 the value of the required sum modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A conveyor belt has packages that must be shipped from one port to another within D days.\n\nThe i-th package on the conveyor belt has a weight of weights[i].\u00a0 Each day, we load the ship with packages on the conveyor belt (in the order given by weights). We may not load more weight than the maximum weight capacity of the ship.\n\nReturn the least weight capacity of the ship that will result in all the packages on the conveyor belt being shipped within D days.", "responses": { "class Solution:\n def shipWithinDays(self, weights: List[int], D: int) -> int:\n left = max(weights)\n right = left * len(weights) // D\n while left < right: \n mid = left + (right - left) // 2\n c = 0 \n d = 1 \n for w in weights:\n if c + w <= mid:\n c += w\n else:\n d += 1\n c = w\n if d > D:\n left = mid + 1\n else:\n right = mid\n return left": 1.0, "class Solution:\n def shipWithinDays(self, weights: List[int], D: int) -> int:\n left = max(weights)\n right = left * len(weights) // D\n while left < right: \n mid = left + (right - left) // 2\n c = 0 \n d = 1 \n for w in weights:\n if c + w <= mid:\n c += w\n else:\n d += 1\n c = c # Bug: Typo, should be 'c = w'\n if d > D:\n left = mid + 1\n else:\n right = mid\n return left": 0.0, "class Solution:\n def shipWithinDays(self, weights: List[int], D: int) -> int:\n left = max(weights)\n right = left * len(weights) // D\n while left < right: \n mid = left + (right - left) // 2\n c = 0 \n d = 1 \n for w in weights:\n if c + w <= mid:\n c += w\n else:\n d -= 1 # Bug: Should increment 'd' instead of decrementing\n c = w\n if d > D:\n left = mid + 1\n else:\n right = mid\n return left": 0.0, "class Solution:\n def shipWithinDays(self, weights: List[int], D: int) -> int:\n left = max(weights)\n right = left * len(weights) // D\n while left < right: \n mid = left + (right - left) // 2\n c = 0 \n d = 1 \n for w in weights:\n if c + w > mid: # Bug: Incorrect condition\n d += 1\n c = w\n else:\n c += w\n if d > D:\n left = mid + 1\n else:\n right = mid\n return left": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA conveyor belt has packages that must be shipped from one port to another within D days.\n\nThe i-th package on the conveyor belt has a weight of weights[i].\u00a0 Each day, we load the ship with packages on the conveyor belt (in the order given by weights). We may not load more weight than the maximum weight capacity of the ship.\n\nReturn the least weight capacity of the ship that will result in all the packages on the conveyor belt being shipped within D days.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers s and x (2 \u2264 s \u2264 10^12, 0 \u2264 x \u2264 10^12), the sum and bitwise xor of the pair of positive integers, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer, the number of solutions to the given conditions. If no solutions exist, print 0.", "responses": { "s, x = list(map(int, input().split()))\nrem = int(s == x) * 2\np, t, cur = [], 0, 1\nfor i in range(64):\n if x % 2:\n t += 1\n s -= cur\n else:\n p.append(cur * 2)\n cur *= 2\n x //= 2\nfor i in p[::-1]:\n if s >= i: s -= i\nans = 0 if s else 2 ** t - rem\nprint(ans)": 1.0, "s, x == list(map(int, input().split()))\nrem = int(s == x) * 2\np, t, cur = [], 0, 1\nfor i in range(64):\n if x % 2:\n t += 1\n s -= cur\n else:\n p.append(cur * 2)\n cur *= 2\n x //= 2\nfor i in p[::-1]:\n if s >= i: s -= i\nans = 0 if s else 2 ** t - rem\nprint(ans)": 0.0, "s, x = list(map(int, input().split()))\nrem = int(s == x) * 2\np, t, cur = [], 0, 1\nfor i in range(64):\n if x % 2:\n t += 1\n s -= cur\n else:\n p.append(cur * 2)\n cur **= 2\n x //= 2\nfor i in p[::-1]:\n if s >= i: s -= i\nans = 0 if s else 2 ** t - rem\nprint(ans)": 0.0, "s, x = list(map(int, input().split()))\nrem = int(s == x) * 2\np, t, cur = [], 0, 1\nfor i in range(64):\n if x % 2:\n t += 1\n s += cur\n else:\n p.append(cur * 2)\n cur *= 2\n x //= 2\nfor i in p[::-1]:\n if s >= i: s -= i\nans = 0 if s else 2 ** t - rem\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTwo positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers s and x (2 \u2264 s \u2264 10^12, 0 \u2264 x \u2264 10^12), the sum and bitwise xor of the pair of positive integers, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer, the number of solutions to the given conditions. If no solutions exist, print 0.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given two arrays A and B of words.\u00a0 Each word is a string of lowercase letters.\n\nNow, say that\u00a0word b is a subset of word a\u00a0if every letter in b occurs in a, including multiplicity.\u00a0 For example, \"wrr\" is a subset of \"warrior\", but is not a subset of \"world\".\n\nNow say a word a from A is universal if for every b in B, b\u00a0is a subset of a.\u00a0\n\nReturn a list of all universal words in A.\u00a0 You can return the words in any order.", "responses": { "class Solution:\n def wordSubsets(self, A: List[str], B: List[str]) -> List[str]:\n s = set(A)\n letters_required = {}\n for i in B:\n for j in i:\n count = i.count(j)\n if j not in letters_required or count > letters_required[j]:\n letters_required[j] = count\n for i in A:\n for j in letters_required:\n if i.count(j) < letters_required[j]:\n s.remove(i)\n break\n return list(s)": 1.0, "class Solution:\n def wordSubsets(self, A:List[str], B:List[str]) -> List[str]:\n s = set(A)\n letters_required = {}\n for i in B:\n for j in i:\n count = i.count(j)\n if j not in letters_required or count < letters_required[j]:\n letters_required[j] = count\n for i in A:\n for j in letters_required:\n if i.count(j) >= letters_required[j]:\n s.remove(i)\n break\n return list(s)": 0.0, "class Solution:\n def wordSubsets(self, A: List[str], B: List[str]) -> List[str]:\n s = set(A)\n letters_required = {}\n for i in B:\n for j in i:\n count = i.count(j)\n if j not in letters_required or count > letters_required[j]:\n letters_required[j] = count\n for i in A:\n for j in letters_required:\n if i.count(j) >= letters_required[j]:\n s.remove(i)\n return list(s)": 0.0, "class Solution:\n def wordSubsets(self, A: List[str], B: List[str]) -> List[str]:\n s = set(A)\n letters_required = {}\n for i in B:\n for j in i:\n count = i.count(j)\n if j not in letters_required or count < letters_required[j]:\n letters_required[j] = count\n for i in A:\n for j in letters_required:\n if i.count(j) < letters_required[j]:\n s.remove(i)\n return list(s)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given two arrays A and B of words.\u00a0 Each word is a string of lowercase letters.\n\nNow, say that\u00a0word b is a subset of word a\u00a0if every letter in b occurs in a, including multiplicity.\u00a0 For example, \"wrr\" is a subset of \"warrior\", but is not a subset of \"world\".\n\nNow say a word a from A is universal if for every b in B, b\u00a0is a subset of a.\u00a0\n\nReturn a list of all universal words in A.\u00a0 You can return the words in any order.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2.", "responses": { "class Solution:\n def isInterleave(self, s1, s2, s3):\n \"\"\"\n :type s1: str\n :type s2: str\n :type s3: str\n :rtype: bool\n \"\"\"\n if len(s3) != len(s1) + len(s2):\n return False\n if not s1 or not s2:\n return (s1 or s2) == s3\n options = {(0, 0)}\n for char in s3:\n new_options = set()\n for i1, i2 in options:\n if i1 < len(s1) and char == s1[i1]:\n new_options.add((i1 + 1, i2))\n if i2 < len(s2) and char == s2[i2]:\n new_options.add((i1, i2 + 1))\n options = new_options\n if not options:\n return False\n return True": 1.0, "class Solution:\n def searchRange(self, nums, target):\n \"\"\"\n :type nums: List[int]\n :type target: int\n :rtype: List[int]\n \"\"\"\n if not nums:\n return [-1, -1]\n start = self.find_start(nums, target)\n if start == -1:\n return [1, -1]\n end = self.find_end(nums, target, start)\n return [start, end]\n\n def find_start(self, nums, target):\n left, right = 0, len(nums) - 1\n while left < right:\n mid = (left + right) // 2\n if nums[mid] < target:\n left = mid + 1\n else:\n right = mid\n return left if nums[left] == target else -1\n\n def find_end(self, nums, target, start):\n left, right = start, len(nums) - 1\n while left < right:\n mid = (left + right) // 2 + 1\n if nums[mid] > target:\n right = mid - 1\n else:\n left = mid\n return right if nums[right] == target else -1": 0.0, "class Solution:\n def searchRange(self, nums, target):\n \"\"\"\n :type nums: List[int]\n :type target: int\n :rtype: List[int]\n \"\"\"\n if not nums:\n return [-1, -1]\n start = self.find_start(nums, target)\n if start == -1:\n return [-1]\n end = self.find_end(nums, target, start)\n return [start, end]\n\n def find_start(self, nums, target):\n left, right = 0, len(nums) - 1\n while left < right:\n mid = (left + right) // 2\n if nums[mid] < target:\n left = mid + 1\n else:\n right = mid\n return left if nums[left] == target else -1\n\n def find_end(self, nums, target, start):\n left, right = start, len(nums) - 1\n while left < right:\n mid = (left + right) // 2 + 1\n if nums[mid] > target:\n right = mid - 1\n else:\n left = mid\n return right if nums[right] == target else -1": 0.0, "class Solution:\n def searchRange(self, nums, target):\n \"\"\"\n :type nums: List[int]\n :type target: int\n :rtype: List[int]\n \"\"\"\n if not nums:\n return [-1, -1]\n start = self.find_start(nums, target)\n if start == -1:\n return [-1, -1]\n end = self.find_end(nums, target, start)\n return [start, end, 5]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Recently Adaltik discovered japanese crosswords. Japanese crossword is a picture, represented as a table sized a \u00d7 b squares, and each square is colored white or black. There are integers to the left of the rows and to the top of the columns, encrypting the corresponding row or column. The number of integers represents how many groups of black squares there are in corresponding row or column, and the integers themselves represents the number of consecutive black squares in corresponding group (you can find more detailed explanation in Wikipedia https://en.wikipedia.org/wiki/Japanese_crossword).\n\n\n\nAdaltik decided that the general case of japanese crossword is too complicated and drew a row consisting of n squares (e.g. japanese crossword sized 1 \u00d7 n), which he wants to encrypt in the same way as in japanese crossword. [Image] The example of encrypting of a single row of japanese crossword. \n\n\n\nHelp Adaltik find the numbers encrypting the row he drew.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer n (1 \u2264 n \u2264 100)\u00a0\u2014 the length of the row. The second line of the input contains a single string consisting of n characters 'B' or 'W', ('B' corresponds to black square, 'W'\u00a0\u2014 to white square in the row that Adaltik drew).\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line should contain a single integer k\u00a0\u2014 the number of integers encrypting the row, e.g. the number of groups of black squares in the row.\n\n\n\nThe second line should contain k integers, encrypting the row, e.g. corresponding to sizes of groups of consecutive black squares in the order from left to right.", "responses": { "n = int(input())\ns = str(input())\nR = []\nb = 0\nfor i in range(n):\n if s[i] == \"B\":\n b += 1\n elif b > 0:\n R += [b]\n b = 0\nif b > 0:\n R += [b]\nprint(len(R))\nfor i in range(len(R)):\n print(R[i],end=\" \")": 1.0, "```python\nn = int(input())\ns = str(input())\nR = []\nb = 0\nfor i in range(n):\n if s[i] == \"B\":\n b += 1\n elif b > 0:\n R += [b]\n b = 0\nif b > 0:\n R += [b]\nfor i in range(len(R)):\n print(R[i],end=\" \")\nprint(len(R)) # bug: wrong position of print statement\n```": 0.0, "```python\nn = int(input())\ns = str(input())\nR = []\nb = 0\nfor i in range(n):\n if s[i] == \"B\":\n b += 1\n elif b > 0:\n R += [b]\n b = 0\nif b > 0:\n R += [b]\nprint(len(R))\nfor i in range(len(R)):\n print(R[i]) # bug: missing end=\" \"\n```": 0.0, "```python\nn = int(input())\ns = str(input())\nR = []\nb = 0\nfor i in range(n):\n if s[i] == \"B\":\n b += 1\n elif b > 0:\n R += [b]\n b = 0\nif b > 0:\n R += [b]\nprint(len(R))\nfor i in range(len(R)):\n print(R[i],end=\" \")\nprint() # bug: extra print statement\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRecently Adaltik discovered japanese crosswords. Japanese crossword is a picture, represented as a table sized a \u00d7 b squares, and each square is colored white or black. There are integers to the left of the rows and to the top of the columns, encrypting the corresponding row or column. The number of integers represents how many groups of black squares there are in corresponding row or column, and the integers themselves represents the number of consecutive black squares in corresponding group (you can find more detailed explanation in Wikipedia https://en.wikipedia.org/wiki/Japanese_crossword).\n\n\n\nAdaltik decided that the general case of japanese crossword is too complicated and drew a row consisting of n squares (e.g. japanese crossword sized 1 \u00d7 n), which he wants to encrypt in the same way as in japanese crossword. [Image] The example of encrypting of a single row of japanese crossword. \n\n\n\nHelp Adaltik find the numbers encrypting the row he drew.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer n (1 \u2264 n \u2264 100)\u00a0\u2014 the length of the row. The second line of the input contains a single string consisting of n characters 'B' or 'W', ('B' corresponds to black square, 'W'\u00a0\u2014 to white square in the row that Adaltik drew).\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line should contain a single integer k\u00a0\u2014 the number of integers encrypting the row, e.g. the number of groups of black squares in the row.\n\n\n\nThe second line should contain k integers, encrypting the row, e.g. corresponding to sizes of groups of consecutive black squares in the order from left to right.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Linked Lists - Length & Count\n\n\n\nImplement Length() to count the number of nodes in a linked list.\n\nImplement Count() to count the occurrences of an integer in a linked list.\n\n\n\n\n\nI've decided to bundle these two functions within the same Kata since they are both very similar.\n\n\n\nThe `push()`/`Push()` and `buildOneTwoThree()`/`BuildOneTwoThree()` functions do not need to be redefined.", "responses": { "class Node(object):\n def __init__(self, data):\n self.data = data\n self.next = None\n \ndef length(node):\n leng = 0\n while node:\n leng += 1\n node = node.next\n return leng\n \ndef count(node, data):\n c = 0\n while node:\n if node.data==data:\n c += 1\n node = node.next\n return c": 1.0, "class Node:\n def __init__(self, data):\n self.data = data\n self.next = None\n \ndef length(node):\n leng = 0\n while node:\n leng + 1\n node = node.next\n return leng\n \ndef count(node, data):\n c = 0\n while node:\n if node.data=data:\n c += 1\n node = node.next\n return c": 0.0, "class Node(object):\n def __init__(self, data):\n self.data = data\n self.next = None\n \ndef length(node):\n leng = 0\n while node:\n leng += 1\n node.next\n return leng\n \ndef count(node, data):\n c = 0\n while node:\n if node.data==data\n c += 1\n node = node.next\n return c": 0.0, "class Node(object):\n def __init__(self, data):\n self.data = data\n self.next = None\n \ndef length(node):\n leng = 0\n while node:\n leng += 1\n node = node.next\n return leng\n \ndef count(node, data)\n c = 0\n while node\n if node.data==data:\n c += 1\n node = node.next\n return c": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLinked Lists - Length & Count\n\n\n\nImplement Length() to count the number of nodes in a linked list.\n\nImplement Count() to count the occurrences of an integer in a linked list.\n\n\n\n\n\nI've decided to bundle these two functions within the same Kata since they are both very similar.\n\n\n\nThe `push()`/`Push()` and `buildOneTwoThree()`/`BuildOneTwoThree()` functions do not need to be redefined.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "An undirected, connected\u00a0tree with N nodes labelled 0...N-1 and N-1 edges\u00a0are\u00a0given.\n\nThe ith edge connects nodes\u00a0edges[i][0] and\u00a0edges[i][1]\u00a0together.\n\nReturn a list ans, where ans[i] is the sum of the distances between node i and all other nodes.", "responses": { "class Solution:\n def sumOfDistancesInTree(self, N: int, edges: List[List[int]]) -> List[int]:\n tree = [[] for _ in range(N)]\n for i, j in edges:\n tree[i].append(j)\n tree[j].append(i)\n \n cnt = [1] * N\n res = [0] * N\n \n def post_order(node, parent):\n for i in tree[node]:\n if i != parent:\n post_order(i, node)\n cnt[node] += cnt[i]\n res[node] += res[i] + cnt[i]\n \n def pre_order(node, parent):\n for i in tree[node]:\n if i != parent:\n res[i] = res[node] - cnt[i] + (N - cnt[i])\n pre_order(i, node)\n post_order(0, -1)\n pre_order(0, -1)\n \n return res": 1.0, "class Solution:\n def sumOfDistancesInTree(self, N: int, edges: List[List[int]]) -> List[int]:\n tree = [[] for _ in range(N)]\n for i, j in edges:\n tree[i].append(j)\n tree[j].append(i)\n \n cnt = [1] * N\n res = [0] * N\n \n def pre_order(node, parent):\n for i in tree[node]:\n if i != parent:\n res[i] = res[node] - cnt[i] + (N - cnt[i])\n pre_order(i, node)\n post_order(0, -1)\n pre_order(0, -1)\n \n return res": 0.0, "class Solution:\n def sumOfDistancesInTree(self, N: int, edges: List[List[int]]) -> List[int]:\n tree = [[] for _ in range(N)]\n for i, j in edges:\n tree[i].append(j)\n tree[j].append(i)\n \n cnt = [1] * N\n res = [0] * N\n \n def post_order(node, parent):\n for i in tree[node]:\n if i != parent:\n post_order(i, node)\n cnt[node] += cnt[i]\n res[node] += res[i] + cnt[i]\n \n post_order(0, -1)\n return res": 0.0, "class Solution:\n def sumOfDistancesInTree(self, N: int, edges: List[List[int]]) -> List[int]:\n tree = [[] for _ in range(N)]\n for i, j in edges:\n tree[i].append(j)\n tree[j].append(i)\n \n cnt = [1] * N\n res = [0] * N\n \n def post_order(node, parent):\n for i in tree[node]:\n if i != parent:\n post_order(i, node)\n cnt[node] += cnt[i]\n res[node] += res[i] + cnt[i]\n \n def pre_order(node, parent):\n for i in tree[node]:\n if i != parent:\n res[i] = res[node] - cnt[i] + (N - cnt[i])\n pre_order(0, -1)\n \n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAn undirected, connected\u00a0tree with N nodes labelled 0...N-1 and N-1 edges\u00a0are\u00a0given.\n\nThe ith edge connects nodes\u00a0edges[i][0] and\u00a0edges[i][1]\u00a0together.\n\nReturn a list ans, where ans[i] is the sum of the distances between node i and all other nodes.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Peter has a sequence of integers a_1, a_2, ..., a_{n}. Peter wants all numbers in the sequence to equal h. He can perform the operation of \"adding one on the segment [l, r]\": add one to all elements of the sequence with indices from l to r (inclusive). At that, Peter never chooses any element as the beginning of the segment twice. Similarly, Peter never chooses any element as the end of the segment twice. In other words, for any two segments [l_1, r_1] and [l_2, r_2], where Peter added one, the following inequalities hold: l_1 \u2260 l_2 and r_1 \u2260 r_2.\n\n\n\nHow many distinct ways are there to make all numbers in the sequence equal h? Print this number of ways modulo 1000000007\u00a0(10^9 + 7). Two ways are considered distinct if one of them has a segment that isn't in the other way.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n, h (1 \u2264 n, h \u2264 2000). The next line contains n integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 2000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the answer to the problem modulo 1000000007\u00a0(10^9 + 7).", "responses": { "mod = 10**9 + 7\nn, h = map(int, input().split())\na = list(map(int, input().split()))\ndp = [[0 for j in range(h + 1)] for i in range (n + 1)]\ndp[0][0] = 1\nfor i in range(1, n + 1):\n\tneed = h - a[i - 1]\n\tif need < 0:\n\t\tbreak\n\tif need == 0:\n\t\tdp[i][0] = dp[i - 1][0]\n\telse:\n\t\tdp[i][need] = (dp[i - 1][need] + dp[i - 1][need - 1]) % mod\n\t\tdp[i][need - 1] = (dp[i][need] * need) % mod\nprint(dp[n][0])": 1.0, "mod = 10**9 + 7\nn, h = map(int, input().split())\na = list(map(int, input().split()))\ndp = [[0 for j in range(h + 1)] for i in range (n)]\ndp[0][0] = 1\nfor i in range(1, n + 1):\n\tneed = h - a[i - 1]\n\tif need < 0:\n\t\tbreak\n\tif need == 0:\n\t\tdp[i][0] = dp[i - 1][0]\n\telse:\n\t\tdp[i][need] = (dp[i - 1][need] + dp[i - 1][need - 1]) % mod\n\t\tdp[i][need - 1] = (dp[i][need] * need) % mod\nprint(dp[n][0])": 0.0, "mod = 10**9 + 7\nn, h = map(int, input().split())\na = list(map(int, input().split()))\ndp = [[0 for j in range(h + 1)] for i in range(n + 2)]\ndp[0][0] = 1\nfor i in range(1, n):\n\tneed = h - a[i - 1]\n\tif need < 0:\n\t\tbreak\n\tif need == 0:\n\t\tdp[i][0] = dp[i - 1][0]\n\telse:\n\t\tdp[i][need] = (dp[i - 1][need] + dp[i - 1][need - 1]) % mod\n\t\tdp[i][need - 1] = (dp[i][need] * need) % mod\nprint(dp[n][0])": 0.0, "mod = 10**9 + 7\nn, h = map(int, input().split())\na = list(map(int, input().split()))\ndp = [[0 for j in range(h)] for i in range (n + 1)]\ndp[0][0] = 1\nfor i in range(1, n + 1):\n\tneed = h - a[i - 1]\n\tif need < 0:\n\t\tbreak\n\tif need == 0:\n\t\tdp[i][0] = dp[i - 1][0]\n\telse:\n\t\tdp[i][need + 1] = (dp[i - 1][need] + dp[i - 1][need - 1]) % mod\n\t\tdp[i][need - 1] = (dp[i][need] * need) % mod\nprint(dp[n][0])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPeter has a sequence of integers a_1, a_2, ..., a_{n}. Peter wants all numbers in the sequence to equal h. He can perform the operation of \"adding one on the segment [l, r]\": add one to all elements of the sequence with indices from l to r (inclusive). At that, Peter never chooses any element as the beginning of the segment twice. Similarly, Peter never chooses any element as the end of the segment twice. In other words, for any two segments [l_1, r_1] and [l_2, r_2], where Peter added one, the following inequalities hold: l_1 \u2260 l_2 and r_1 \u2260 r_2.\n\n\n\nHow many distinct ways are there to make all numbers in the sequence equal h? Print this number of ways modulo 1000000007\u00a0(10^9 + 7). Two ways are considered distinct if one of them has a segment that isn't in the other way.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n, h (1 \u2264 n, h \u2264 2000). The next line contains n integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 2000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the answer to the problem modulo 1000000007\u00a0(10^9 + 7).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Toastman came up with a very easy task. He gives it to Appleman, but Appleman doesn't know how to solve it. Can you help him?\n\n\n\nGiven a n \u00d7 n checkerboard. Each cell of the board has either character 'x', or character 'o'. Is it true that each cell of the board has even number of adjacent cells with 'o'? Two cells of the board are adjacent if they share a side.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 100). Then n lines follow containing the description of the checkerboard. Each of them contains n characters (either 'x' or 'o') without spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" or \"NO\" (without the quotes) depending on the answer to the problem.", "responses": { "n = int(input())\ns = []\nfor i in range(n):\n s.append(input())\nnew = [[0] * n for i in range(n)]\nfor i in range(n):\n for j in range(n):\n if s[i][j] == 'o':\n new[i][j] = 1\nflag = True\nfor i in range(n):\n for j in range(n):\n s = 0\n if i > 0 and new[i - 1][j] == 1:\n s += 1\n if i < n - 1 and new[i + 1][j] == 1:\n s += 1\n if j > 0 and new[i][j - 1] == 1:\n s += 1\n if j < n - 1 and new[i][j + 1] == 1:\n s += 1\n if s % 2 == 1:\n flag = False\n break\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 1.0, "n = int(input())\ns = []\nfor i in range(n):\n s.append(input())\nnew = [[0] * n for i in range(n)]\nfor i in range(n):\n for j in range(n):\n if s[i][j] == 'o':\n new[i][j] = 1\nflag = True\nfor i in range(n):\n for j in range(n):\n # Missing indentation of the line below\n s = 0\n if i > 0 and new[i - 1][j] == 1:\n s += 1\n if i < n - 1 and new[i + 1][j] == 1:\n s += 1\n if j > 0 and new[i][j - 1] == 1:\n s += 1\n if j < n - 1 and new[i][j + 1] == 1:\n s += 1\n if s % 2 == 1:\n flag = False\n break\nif flag:\n print(\"YES\")\nelse: \n print(\"NO\")": 0.0, "n = int(input()) \ns = []\nfor i in range(n):\n s.append(input())\nnew = [[0] * n for i in range(n)]\nfor i in range n): # Incorrect syntax at this line\n for j in range(n):\n if s[i][j] == 'o':\n new[i][j] = 1\nflag = True\nfor i in range(n):\n for j in range(n):\n s = 0\n if i > 0 and new[i - 1][j] == 1:\n s += 1\n if i < n - 1 and new[i + 1][j] == 1:\n s += 1\n if j > 0 and new[i][j - 1] == 1:\n s += 1\n if j < n - 1 and new[i][j + 1] == 1:\n s += 1\n if s % 2 == 1:\n flag == False # Double equal sign instead of single equal sign\n break\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "n = int(input())\ns = []\nfor i in range(n):\n s.append(input())\nnew = [[0] * n for i in range(n)]\nfor i in range(n):\n for j in range(n):\n if s[i][j] == 'o':\n new[i][j] = 1\nflag = True\nfor i in range(n):\n for j in range(n):\n s = 0\n if i > 0 and new[i - 1][j] == 1:\n s += 1\n if i < n - 1 and new[i + 1][j] == 1:\n s += 1\n if j > 0 and new[i][j - 1] == 1:\n s += 1\n if j < n - 1 and new[i][j + 1] == 1\n s += 1 # Missing colon at the end of line\n if s % 2 == 1:\n flag = False\n break\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nToastman came up with a very easy task. He gives it to Appleman, but Appleman doesn't know how to solve it. Can you help him?\n\n\n\nGiven a n \u00d7 n checkerboard. Each cell of the board has either character 'x', or character 'o'. Is it true that each cell of the board has even number of adjacent cells with 'o'? Two cells of the board are adjacent if they share a side.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 100). Then n lines follow containing the description of the checkerboard. Each of them contains n characters (either 'x' or 'o') without spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" or \"NO\" (without the quotes) depending on the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string $s$ consisting only of characters + and -. You perform some process with this string. This process can be described by the following pseudocode: res = 0\n\n\n\nfor init = 0 to inf\n\n\n\n cur = init\n\n\n\n ok = true\n\n\n\n for i = 1 to |s|\n\n\n\n res = res + 1\n\n\n\n if s[i] == '+'\n\n\n\n cur = cur + 1\n\n\n\n else\n\n\n\n cur = cur - 1\n\n\n\n if cur < 0\n\n\n\n ok = false\n\n\n\n break\n\n\n\n if ok\n\n\n\n break\n\n\n\n\n\n\n\nNote that the $inf$ denotes infinity, and the characters of the string are numbered from $1$ to $|s|$.\n\n\n\nYou have to calculate the value of the $res$ after the process ends.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $t$ ($1 \\le t \\le 1000$) \u2014 the number of test cases.\n\n\n\nThe only lines of each test case contains string $s$ ($1 \\le |s| \\le 10^6$) consisting only of characters + and -.\n\n\n\nIt's guaranteed that sum of $|s|$ over all test cases doesn't exceed $10^6$.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case print one integer \u2014 the value of the $res$ after the process ends.\n\n\n\n\n\n-----Example-----\n\nInput\n\n3\n\n--+-\n\n---\n\n++--+-\n\n\n\nOutput\n\n7\n\n9\n\n6", "responses": { "def solve():\n s = input()\n pm = 0\n cur = 0\n ans = len(s)\n for i in range(len(s)):\n if s[i] == '+':\n cur += 1\n else:\n cur -= 1\n if cur < pm:\n pm = cur\n ans += i + 1\n print(ans)\nt = int(input())\nfor _ in range(t):\n solve()": 1.0, "def solve():\n s = input()\n pm = 0\n cur = 0\n ans = len(s\n for i in range(len(s)):\n if s[i] == '+':\n cur += 1\n else:\n cur -= 1\n if cur < pm:\n pm = cur\n ans += i + 1\n print(ans)\nt = int(input())\nfor _ in range(t):\n solve()": 0.0, "def solve():\n s = input()\n pm = 0\n cur = 0\n ans = len(s)\n for i in range(len(s)):\n if s[i] == '+':\n cur += 1\n else:\n cur -= 1\n if cur < pm:\n pm = cur\n ans += i + 1\n print(ans)\nt = int(input())\nfor _ in range(t):\n solve()": 0.0, "def solve():\n s = input()\n pm = 0\n cur = 0\n ans = len(s)\n for i in range(len(s)):\n if s[i] == '+':\n cur += 1\n else:\n cur -= 1\n if cur < pm:\n pm = cur\n ans += i + 1\n print(ans\nt = int(input())\nfor _ in range(t):\n solve()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string $s$ consisting only of characters + and -. You perform some process with this string. This process can be described by the following pseudocode: res = 0\n\n\n\nfor init = 0 to inf\n\n\n\n cur = init\n\n\n\n ok = true\n\n\n\n for i = 1 to |s|\n\n\n\n res = res + 1\n\n\n\n if s[i] == '+'\n\n\n\n cur = cur + 1\n\n\n\n else\n\n\n\n cur = cur - 1\n\n\n\n if cur < 0\n\n\n\n ok = false\n\n\n\n break\n\n\n\n if ok\n\n\n\n break\n\n\n\n\n\n\n\nNote that the $inf$ denotes infinity, and the characters of the string are numbered from $1$ to $|s|$.\n\n\n\nYou have to calculate the value of the $res$ after the process ends.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $t$ ($1 \\le t \\le 1000$) \u2014 the number of test cases.\n\n\n\nThe only lines of each test case contains string $s$ ($1 \\le |s| \\le 10^6$) consisting only of characters + and -.\n\n\n\nIt's guaranteed that sum of $|s|$ over all test cases doesn't exceed $10^6$.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case print one integer \u2014 the value of the $res$ after the process ends.\n\n\n\n\n\n-----Example-----\n\nInput\n\n3\n\n--+-\n\n---\n\n++--+-\n\n\n\nOutput\n\n7\n\n9\n\n6\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "At a lemonade stand, each lemonade costs $5.\u00a0\n\nCustomers are standing in a queue to buy from you, and order one at a time (in the order specified by bills).\n\nEach customer will only buy one lemonade and\u00a0pay with either a $5, $10, or $20 bill.\u00a0 You must provide the correct change to each customer, so that the net transaction is that the customer pays $5.\n\nNote that you don't have any change\u00a0in hand at first.\n\nReturn true\u00a0if and only if you can provide every customer with correct change.", "responses": { "class Solution:\n \n def lemonadeChange(self, bills: List[int]) -> bool: \n n5=0\n n10=0 \n for i in bills:\n if i == 5:\n n5 +=1\n elif i == 10:\n if n5<=0:\n return False\n else:\n n5 -=1\n n10 +=1\n else:\n if n10>0 and n5 >0:\n n10 -=1\n n5 -=1\n elif n5>=3:\n n5-=3\n else:\n return False\n else:\n return True\n \n \n \n \n \n ": 1.0, "def lemonadeChange(bills):\n n5=0\n n10=0 \n for i in bills:\n if i == 5:\n n5 +=1\n elif i == 10:\n if n5<=0:\n return False\n else:\n n5 -=1\n n10 +=1\n else:\n if n10>0 and n5 >0:\n n10 -=1\n n5 -=1\n elif n5>=4: # Bug: Changed 3 to 4, making it impossible to give correct change\n n5-=3\n else:\n return False\n else:\n return True": 0.0, "def lemonadeChange(bills):\n n5=0\n n10=0 \n for i in bills:\n if i == 5:\n n5 +=1\n elif i == 10:\n if n5<=0:\n return False\n else:\n n5 -=2 # Bug: Subtracts 2 from n5 instead of 1, resulting in incorrect change calculation\n n10 +=1\n else:\n if n10>0 and n5 >0:\n n10 -=1\n n5 -=1\n elif n5>=3:\n n5-=3\n else:\n return False\n else:\n return True": 0.0, "def lemonadeChange(bills):\n n5=0\n n10=0 \n for i in bills:\n if i == 5:\n n5 +=2 # Bug: Adds 2 to n5 instead of 1, resulting in incorrect change calculation\n elif i == 10:\n if n5<=0:\n return False\n else:\n n5 -=1\n n10 +=1\n else:\n if n10>0 and n5 >0:\n n10 -=1\n n5 -=1\n elif n5>=3:\n n5-=3\n else:\n return False\n else:\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAt a lemonade stand, each lemonade costs $5.\u00a0\n\nCustomers are standing in a queue to buy from you, and order one at a time (in the order specified by bills).\n\nEach customer will only buy one lemonade and\u00a0pay with either a $5, $10, or $20 bill.\u00a0 You must provide the correct change to each customer, so that the net transaction is that the customer pays $5.\n\nNote that you don't have any change\u00a0in hand at first.\n\nReturn true\u00a0if and only if you can provide every customer with correct change.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty array of non-negative integers nums, the degree of this array is defined as the maximum frequency of any one of its elements.\n\nYour task is to find the smallest possible length of a (contiguous) subarray of nums, that has the same degree as nums.", "responses": { "class Solution:\n def findShortestSubArray(self, nums):\n \n diction = {}\n \n for i in nums:\n if i not in diction:\n diction[i] = 1\n else:\n diction[i] += 1\n \n degree = max(list(diction.values()))\n \n if degree == 1:\n return 1\n \n max_value = []\n \n for i in diction:\n if diction[i] == degree:\n max_value.append(i)\n \n min_length = 10000000000\n \n for i in max_value:\n head = 0\n tail = 0\n for j in range(len(nums)):\n if nums[j] == i:\n head = j\n break\n for j in range(len(nums)-1,-1,-1):\n if nums[j] == i:\n tail = j\n break\n if min_length > tail - head + 1:\n min_length = tail - head + 1\n \n return min_length": 1.0, "class Solution:\n def findShortestSubArray(self, nums):\n \n diction = {}\n \n for i in nums:\n if i not in diction:\n diction[i] = 1\n else:\n diction[i] += 1\n return len(nums) #bug: incorrect return statement\n \n degree = max(list(diction.values()))\n \n if degree == 1:\n return 1\n \n max_value = []\n \n for i in diction:\n if diction[i] == degree:\n max_value.append(i)\n \n min_length = 10000000000\n \n for i in max_value:\n head = 0\n tail = 0\n for j in range(len(nums)):\n if nums[j] == i:\n head = j\n break\n for j in range(len(nums)-1,-1,-1):\n if nums[j] == i:\n tail = j\n break\n if min_length > tail - head + 1:\n min_length = tail - head + 1\n \n return min_length": 0.0, "class Solution:\n def findShortestSubArray(self, nums):\n \n diction = {}\n sum = 0 #bug: using a reserved keyword as variable name\n \n for i in nums:\n if i not in diction:\n diction[i] = 1\n else:\n diction[i] += 1\n \n degree = max(list(diction.values()))\n \n if degree == 1:\n return 1\n \n max_value = []\n \n for i in diction:\n if diction[i] == degree:\n max_value.append(i)\n \n min_length = 10000000000\n \n for i in max_value:\n head = 0\n tail = 0\n for j in range(len(nums)):\n if nums[j] == i:\n head = j\n break\n for j in range(len(nums)-1,-1,-1):\n if nums[j] == i:\n tail = j\n break\n if min_length > tail - head + 1:\n min_length = tail - head + 1\n \n return min_length": 0.0, "class Solution:\n def findShortestSubArray(self, nums):\n \n diction = {}\n \n for i in nums:\n if i not in diction:\n diction[i] = 1\n else:\n diction[i] += 1\n \n degree = max(list(diction.values()))\n \n max_value = [] \n \n for i in diction:\n if diction[i] == degree:\n max_value.append(i)\n \n min_length = 10000000000\n \n for i in max_value:\n head = 0\n tail = 0\n for j in range(len(nums)):\n if nums[j] == i:\n head = j\n break\n for j in range(len(nums)-1,-1,-1):\n if nums[j] == i:\n tail = j\n break\n if min_length > tail - head + 1:\n min_length = tail - head + 1\n \n return min_length": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty array of non-negative integers nums, the degree of this array is defined as the maximum frequency of any one of its elements.\n\nYour task is to find the smallest possible length of a (contiguous) subarray of nums, that has the same degree as nums.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Genos needs your help. He was asked to solve the following programming problem by Saitama:\n\n\n\nThe length of some string s is denoted |s|. The Hamming distance between two strings s and t of equal length is defined as $\\sum_{i = 1}^{|s|}|s_{i} - t_{i}|$, where s_{i} is the i-th character of s and t_{i} is the i-th character of t. For example, the Hamming distance between string \"0011\" and string \"0110\" is |0 - 0| + |0 - 1| + |1 - 1| + |1 - 0| = 0 + 1 + 0 + 1 = 2.\n\n\n\nGiven two binary strings a and b, find the sum of the Hamming distances between a and all contiguous substrings of b of length |a|.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains binary string a (1 \u2264 |a| \u2264 200 000).\n\n\n\nThe second line of the input contains binary string b (|a| \u2264 |b| \u2264 200 000).\n\n\n\nBoth strings are guaranteed to consist of characters '0' and '1' only.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the sum of Hamming distances between a and all contiguous substrings of b of length |a|.", "responses": { "a = input()\nb = input()\nsumi = 0\nfor i in range(len(b) - len(a) + 1):\n if b[i] == '1':\n sumi += 1\nlowest = 0\nhighest = len(b) - len(a) + 1\ntotal = 0\nfor i in range(len(a)):\n if a[i] == '0':\n total += sumi\n else:\n total += highest - lowest - sumi\n if b[lowest] == '1':\n sumi -= 1\n if highest < len(b) and b[highest] == '1':\n sumi += 1\n lowest += 1\n highest += 1\nprint(total)": 1.0, "a = input()d\nb = input()\nsumi = 0\nfor i in range(len(b) - len(a) + 1):\n if b[i] == '1':\n sumi += 1\nlowest = 0\nhighest = len(b) - len(a) + 1\ntotal = 0\nfor i in range(len(a)):\n if a[i] == '0':\n total += sumi\n else:\n total += highest - lowest - sumi\n if b[lowest] == '1':\n sumi -= 1\n if highest < len(b) and b[highest] == '1':\n sumi += 1\n lowest += 1\n highest += 1\nprint(total)": 0.0, "a = input()\n;b = input()\nsumi = 0\nfor i in range(len(b) - len(a) + 1:\n if b[i] == '1':\n sumi += 1\nlowest = 0\nhighest = len(b) - len(a) + 1\ntotal = 0\nfor i in range(len(a)):\n if a[i] == '0':\n total += sumi\n else:\n total += highest - lowest - sumi\n if b[lowest] == '1':\n sumi -= 1\n if highest < len(b) and b[highest] == '1':\n sumi += 1\n lowest += 1\n highest += 1\nprint(total)": 0.0, "a = input()\nb = inpt()\nsumi = 0\nfor i in range(len(b) - len(a) + 1):\n if b[i] == '1':\n sumi += 1\nlowest = 0\nhighest = len(b) - len(a) + 1\ntotal = 0\nfor i in range(len(a)):\n if a[i] == '0':\n total += sumi\n else:\n total += highest - lowest - sumi\n if b[lowest] == '1':\n sumi -= 1\n if highest < len(b) and b[highest] == '1':\n sumi += 1\n lowest += 1\n highest += 1\nprint(total)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGenos needs your help. He was asked to solve the following programming problem by Saitama:\n\n\n\nThe length of some string s is denoted |s|. The Hamming distance between two strings s and t of equal length is defined as $\\sum_{i = 1}^{|s|}|s_{i} - t_{i}|$, where s_{i} is the i-th character of s and t_{i} is the i-th character of t. For example, the Hamming distance between string \"0011\" and string \"0110\" is |0 - 0| + |0 - 1| + |1 - 1| + |1 - 0| = 0 + 1 + 0 + 1 = 2.\n\n\n\nGiven two binary strings a and b, find the sum of the Hamming distances between a and all contiguous substrings of b of length |a|.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains binary string a (1 \u2264 |a| \u2264 200 000).\n\n\n\nThe second line of the input contains binary string b (|a| \u2264 |b| \u2264 200 000).\n\n\n\nBoth strings are guaranteed to consist of characters '0' and '1' only.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the sum of Hamming distances between a and all contiguous substrings of b of length |a|.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "# Invalid Login - Bug Fixing #11\n\n\n\nOh NO! Timmy has moved divisions... but now he's in the field of security. Timmy, being the top coder he is, has allowed some bad code through. You must help Timmy and filter out any injected code!\n\n\n\n## Task\n\n\n\nYour task is simple, search the password string for any injected code (Injected code is any thing that would be used to exploit flaws in the current code, so basically anything that contains `||` or `//`) if you find any you must return `\"Wrong username or password!\"` because no one likes someone trying to cheat their way in!\n\n\n\n## Preloaded\n\n\n\nYou will be given a preloaded class called `Database` with a method `login` this takes two parameters `username` and `password`. This is a generic login function which will check the database for the user it will return either `'Successfully Logged in!'` if it passes the test or `'Wrong username or password!'` if either the password is wrong or username does not exist.\n\n\n\n## Usage\n\n\n\n```python\n\ndatabase = Database()\n\ndatabase.login('Timmy', 'password')\n\n```", "responses": { "def validate(username, password):\n print (username, password)\n if username == 'Timmy' and password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Alice' and password == 'alice':\n return 'Successfully Logged in!'\n elif username == 'Johny' and password == 'Hf7FAbf6':\n return 'Successfully Logged in!' \n elif username == 'Roger' and password == 'Cheater':\n return 'Successfully Logged in!'\n elif username == 'Simon' and password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Simon' and password == 'says':\n return 'Successfully Logged in!'\n elif username == 'Roger' and password == 'pass':\n return 'Successfully Logged in!'\n elif username == 'Admin' and password == 'ads78adsg7dasga':\n return 'Successfully Logged in!'\n else:\n return 'Wrong username or password!'": 1.0, "def validate(username, password):\n print (username, password)\n if username == 'Timmy' and password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Alice' and password == 'alice':\n return 'Successfully Logged in!'\n elif username == 'Johny' and password == 'Hf7FAbf6':\n return 'Successfully Logged in!' \n elif username == 'Roger' and (password == 'Cheater' || password == 'pass'):\n return 'Successfully Logged in!'\n elif username == 'Simon' and password == 'password':\n return 'Successfully Logged in!'\n elif (username == 'Simon' || username == 'Roger') and password == 'says':\n return 'Successfully Logged in!'\n elif username == 'Admin' and password == 'ads78adsg7dasga':\n return 'Successfully Logged in!'\n else:\n return 'Wrong username or password!'": 0.0, "def validate(username, password):\n print (username, password)\n if username == 'Timmy' && password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Alice' && password == 'alice':\n return 'Successfully Logged in!'\n elif username == 'Johny' && password == 'Hf7FAbf6':\n return 'Successfully Logged in!' \n elif username == 'Roger' && password == 'Cheater':\n return 'Successfully Logged in!'\n elif username == 'Simon' && password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Simon' && password == 'says':\n return 'Successfully Logged in!'\n elif username == 'Roger' && password == 'pass':\n return 'Successfully Logged in!'\n elif username == 'Admin' && password == 'ads78adsg7dasga':\n return 'Successfully Logged in!'\n else:\n return 'Wrong username or password!'": 0.0, "def validate(username, password):\n print (username, password)\n if username == 'Timmy' and password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Alice' and password == 'alice':\n return 'Successfully Logged in!'\n elif username == 'Johny' and password == 'Hf7FAbf6':\n return 'Successfully Logged in!' \n elif username == 'Roger' and password == 'Cheater':\n return 'Successfully Logged in!'\n elif username == 'Simon' and password == 'password':\n return 'Successfully Logged in!'\n elif username == 'Simon' and password == 'says':\n return 'Successfully Logged in!'\n elif username == 'Roger' and password == 'pass':\n return 'Successfully Logged in!'\n elif username == 'Admin' and password == 'ads78adsg7dasga':\n return 'Wrong username or password!'\n else:\n return 'Successfully Logged in!'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n# Invalid Login - Bug Fixing #11\n\n\n\nOh NO! Timmy has moved divisions... but now he's in the field of security. Timmy, being the top coder he is, has allowed some bad code through. You must help Timmy and filter out any injected code!\n\n\n\n## Task\n\n\n\nYour task is simple, search the password string for any injected code (Injected code is any thing that would be used to exploit flaws in the current code, so basically anything that contains `||` or `//`) if you find any you must return `\"Wrong username or password!\"` because no one likes someone trying to cheat their way in!\n\n\n\n## Preloaded\n\n\n\nYou will be given a preloaded class called `Database` with a method `login` this takes two parameters `username` and `password`. This is a generic login function which will check the database for the user it will return either `'Successfully Logged in!'` if it passes the test or `'Wrong username or password!'` if either the password is wrong or username does not exist.\n\n\n\n## Usage\n\n\n\n```python\n\ndatabase = Database()\n\ndatabase.login('Timmy', 'password')\n\n```\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n2\n\n23\n\n34\n\n234\n\n345\n\n456\n\n2345\n\n3456\n\n4567\n\n5678\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "try:\r\n tc=int(input())\r\n for _ in range(tc):\r\n n=int(input())\r\n st=\"\"\r\n b=1\r\n for i in range(1,n+1):\r\n b+=1\r\n a=b\r\n for j in range(1,n+1):\r\n print(a,end='')\r\n a+=1\r\n print() \r\nexcept:\r\n pass": 1.0, "try:\n tc=int(input())\n for _ in range(tc):\n n=int(input())\n st=\"\"\n b=1\n for i in range(1,n+1):\n b+=1\n a=b\n for j in range(1,n+1):\n print(a,end='') # missing indentation\n a+=1\n print() \nexcept:\n pass": 0.0, "try:\n tc=int(input())\n for _ in range(tc):\n n=int(input())\n st=\"\"\n b=1\n for i in range(1,n+1):\n b+=1\n a=b\n for j in range(1,n+1):\n printA,end='') # missing the parentheses after print\n a+=1\n print() \nexcept:\n pass": 0.0, "try:\n tc=int(input())\n for _ in range(tc):\n n=int(input())\n st=\"\"\n b=1\n for i in range(1,n+1):\n b+=1\n a=b\n for j in range(1,n+1):\n print(a,) # extra comma after print(a)\n a+=1\n print() \nexcept:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n2\n\n23\n\n34\n\n234\n\n345\n\n456\n\n2345\n\n3456\n\n4567\n\n5678\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is a circular pond with a perimeter of K meters, and N houses around them.\n\nThe i-th house is built at a distance of A_i meters from the northmost point of the pond, measured clockwise around the pond.\n\nWhen traveling between these houses, you can only go around the pond.\n\nFind the minimum distance that needs to be traveled when you start at one of the houses and visit all the N houses.\n\n\n\n-----Constraints-----\n\n - 2 \\leq K \\leq 10^6\n\n - 2 \\leq N \\leq 2 \\times 10^5\n\n - 0 \\leq A_1 < ... < A_N < K\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK N\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the minimum distance that needs to be traveled when you start at one of the houses and visit all the N houses.\n\n\n\n-----Sample Input-----\n\n20 3\n\n5 10 15\n\n\n\n-----Sample Output-----\n\n10\n\n\n\nIf you start at the 1-st house and go to the 2-nd and 3-rd houses in this order, the total distance traveled will be 10.", "responses": { "k, n = map(int, input().split())\npoints = list(map(int, input().split()))\ndist = []\nfor i in range(n):\n if i != n-1:\n distance = points[i+1] - points[i]\n else:\n distance = points[0]+k - points[i]\n dist.append(distance)\nmax = dist[0]\nfor j in range(1, len(dist), 1):\n if max < dist[j]:\n max = dist[j]\ndist.remove(max)\nans = 0\nfor k in dist:\n ans += k\nprint(ans)": 1.0, "k, n = map(int(input().split()))\npoints = list(map(int, input().split()))\ndist = []\nfor i in range(n):\n if i != n-1:\n distance = points[i+1] - points[i]\n else:\n distance = points[0]+k - points[i]\n dist.append(distance)\nmax = dist[0]\nfor j in range(1, len(dist), 1):\n if max < dist[j]:\n max = dist[j]\ndist.remove(max)\nans = 0\nfor k in dist:\n ans += k\nprint(ans)": 0.0, "k, n = map(int, input().split())\npoints = listy(map(int, input().split()))\ndist = []\nfor i in range(n):\n if i != n-1:\n distance = points[i+1] - points[i]\n else:\n distance = points[0]+k - points[i]\n dist.append(distance)\nmax = dist[0]\nfor j in range(1, len(dist), 1):\n if max < dist[j]:\n max = dist[j]\ndist.remove(max)\nans = 0\nfor k in dist:\n ans += k\nprint(ans)": 0.0, "k, n = map(int, input.split())\npoints = list(map(int, input().split()))\ndist = []\nfor i in range(n):\n if i != n-1:\n distance = points[i+1] - points[i]\n else:\n distance = points[0]+k - points[i]\n dist.append(distance)\nmax = dist[0]\nfor j in range(1, len(dist), 1):\n if max < dist[j]:\n max = dist[j]\ndist.remove(max)\nans = 0\nfor k in dist:\n ans += k\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is a circular pond with a perimeter of K meters, and N houses around them.\n\nThe i-th house is built at a distance of A_i meters from the northmost point of the pond, measured clockwise around the pond.\n\nWhen traveling between these houses, you can only go around the pond.\n\nFind the minimum distance that needs to be traveled when you start at one of the houses and visit all the N houses.\n\n\n\n-----Constraints-----\n\n - 2 \\leq K \\leq 10^6\n\n - 2 \\leq N \\leq 2 \\times 10^5\n\n - 0 \\leq A_1 < ... < A_N < K\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK N\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the minimum distance that needs to be traveled when you start at one of the houses and visit all the N houses.\n\n\n\n-----Sample Input-----\n\n20 3\n\n5 10 15\n\n\n\n-----Sample Output-----\n\n10\n\n\n\nIf you start at the 1-st house and go to the 2-nd and 3-rd houses in this order, the total distance traveled will be 10.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Shaass has n books. He wants to make a bookshelf for all his books. He wants the bookshelf's dimensions to be as small as possible. The thickness of the i-th book is t_{i} and its pages' width is equal to w_{i}. The thickness of each book is either 1 or 2. All books have the same page heights. $1$ \n\n\n\nShaass puts the books on the bookshelf in the following way. First he selects some of the books and put them vertically. Then he puts the rest of the books horizontally above the vertical books. The sum of the widths of the horizontal books must be no more than the total thickness of the vertical books. A sample arrangement of the books is depicted in the figure. [Image] \n\n\n\nHelp Shaass to find the minimum total thickness of the vertical books that we can achieve.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains an integer n, (1 \u2264 n \u2264 100). Each of the next n lines contains two integers t_{i} and w_{i} denoting the thickness and width of the i-th book correspondingly, (1 \u2264 t_{i} \u2264 2, 1 \u2264 w_{i} \u2264 100).\n\n\n\n\n\n-----Output-----\n\n\n\nOn the only line of the output print the minimum total thickness of the vertical books that we can achieve.", "responses": { "3\nn = int(input())\nbooks = [[], []]\nfor _ in range(n):\n t, w = tuple(map(int, input().split()))\n books[t - 1].append(w)\nfor _ in range(2):\n books[_].sort()\nans = 10**9\nfor i in range(len(books[0]) + 1):\n for j in range(len(books[1]) + 1):\n hor = sum(books[0][:i]) + sum(books[1][:j])\n ver = len(books[0]) - i + 2 * (len(books[1]) - j)\n if hor <= ver and ver < ans:\n ans = ver\n #print(i, j, hor, ver, ans)\nprint(ans)": 1.0, "3\nn=int(input())\nbooks = [[], []]\nfor _ in range(n):\n\tprint(_)\n t, w = tuple(map(int, input().split()))\n books[t - 1].append(w)\nfor _ in range(n):\n\tbooks[_].sort()\nans = 10**9\nfor i in range(n):\n\tfor j in range(n):\n\t\thor = sum(books[0][:i]) + sum(books[1][:j])\n\t\tver = len(books[0]) - i + 2 * (len(books[1]) - j)\n\t\tif hor <= ver and ver < ans:\n\t\t\tans = ver\n\t\t#print(i, j, hor, ver, ans)\nprint(ans)": 0.0, "3\nn = int(input())\nbooks = [[], []]\nfor _ in range(n):\n\tt, w = tuple(map(int, input().split()))\n\tbooks[t + 1].append(w)\nfor _ in range(2):\n\tbooks[_].sort()\nans = 10**9\nfor i in range(len(books[0]) + 1):\n\tfor j in range(len(books[1]) + 1):\n\t\thor = sum(books[0][:i]) + sum(books[1][:j])\n\t\tver = len(books[0]) - i + 2 * (len(books[1]) - j)\n\t\tif hor <= ver and ver < ans:\n\t\t\tans = ver\n\t\t#print(i, j, hor, ver, ans)\nprint(ans)": 0.0, "3\nn = int(input())\nbooks = [[], []]\nfor _ in range(n):\n\tt w = tuple(map(int, input().split()))\n\tbooks[t - 1].append(w)\nfor _ in range(2):\n\tbooks[_].sort()\nans = 10**9\nfor i in range(len(books[0]) + 1):\n\tfor j in range(len(books[1]) + 1):\n\t\thor = sum(books[0][:i]) + sum(books[1][:j])\n\t\tver = len(books[0]) - i + 2 * (len(books[1]) - j)\n\t\tif hor <= ver and ver < ans:\n\t\t\tans = ver\n\t\t#print(i, j, hor, ver, ans)\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nShaass has n books. He wants to make a bookshelf for all his books. He wants the bookshelf's dimensions to be as small as possible. The thickness of the i-th book is t_{i} and its pages' width is equal to w_{i}. The thickness of each book is either 1 or 2. All books have the same page heights. $1$ \n\n\n\nShaass puts the books on the bookshelf in the following way. First he selects some of the books and put them vertically. Then he puts the rest of the books horizontally above the vertical books. The sum of the widths of the horizontal books must be no more than the total thickness of the vertical books. A sample arrangement of the books is depicted in the figure. [Image] \n\n\n\nHelp Shaass to find the minimum total thickness of the vertical books that we can achieve.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains an integer n, (1 \u2264 n \u2264 100). Each of the next n lines contains two integers t_{i} and w_{i} denoting the thickness and width of the i-th book correspondingly, (1 \u2264 t_{i} \u2264 2, 1 \u2264 w_{i} \u2264 100).\n\n\n\n\n\n-----Output-----\n\n\n\nOn the only line of the output print the minimum total thickness of the vertical books that we can achieve.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given the head node root\u00a0of a binary tree, where additionally every node's value is either a 0 or a 1.\n\nReturn the same tree where every subtree (of the given tree) not containing a 1 has been removed.\n\n(Recall that the subtree of a node X is X, plus every node that is a descendant of X.)", "responses": { "class Solution:\n \n def pruneTreeHelper(self, root: TreeNode) -> TreeNode:\n if not root:\n return None\n \n left = self.pruneTreeHelper(root.left)\n right = self.pruneTreeHelper(root.right)\n \n if not left:\n root.left = None\n \n if not right:\n root.right = None\n \n if root.val == 0 and root.right is None and root.left is None:\n return None\n else:\n return root\n \n def pruneTree(self, root: TreeNode) -> TreeNode:\n return self.pruneTreeHelper(root)": 1.0, "class Solution:\n \n def pruneTreeHelper(self, root: TreeNode) -> TreeNode:\n if not root:\n return None\n \n left = self.pruneTreeHelper(root.left)\n right = self.pruneTreeHelper(root.right)\n \n if not left:\n root.left = None\n \n if not right:\n root.right = None\n \n if root.val == 0 and root.right is None and root.left is None:\n return None\n else:\n return root\n \n def pruneTree(self, root: TreeNode) -> TreeNode:\n return self.pruneTreeHelper(root": 0.0, "class Solution:\n \n def pruneTreeHelper(self, root: TreeNode) -> TreeNode:\n if not root:\n return None\n \n left = self.pruneTreeHelper(root.left)\n right = self.pruneTreeHelper(root.right\n \n if not left:\n root.left = None\n \n if not right:\n root.right = None\n \n if root.val == 0 and root.right is None and root.left is None:\n return None\n else:\n return root\n \n def pruneTree(self, root: TreeNode) -> TreeNode:\n return self.pruneTreeHelper(root)": 0.0, "class Solution:\n \n def pruneTreeHelper(self, root: TreeNode) -> TreeNode:\n if not root:\n return None\n \n left = self.pruneTreeHelper(root.left)\n \n right = self.pruneTreeHelper(root.right)\n \n if not left:\n root.left = None\n \n if not right:\n root.right = None\n \n if root.val == 0 and root.right is None print(\"Hello\") and root.left is None:\n return None\n else:\n return root\n \n def pruneTree(self, root: TreeNode) -> TreeNode:\n return self.pruneTreeHelper(root)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given the head node root\u00a0of a binary tree, where additionally every node's value is either a 0 or a 1.\n\nReturn the same tree where every subtree (of the given tree) not containing a 1 has been removed.\n\n(Recall that the subtree of a node X is X, plus every node that is a descendant of X.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ania has a large integer $S$. Its decimal representation has length $n$ and doesn't contain any leading zeroes. Ania is allowed to change at most $k$ digits of $S$. She wants to do it in such a way that $S$ still won't contain any leading zeroes and it'll be minimal possible. What integer will Ania finish with?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($1 \\leq n \\leq 200\\,000$, $0 \\leq k \\leq n$) \u2014 the number of digits in the decimal representation of $S$ and the maximum allowed number of changed digits.\n\n\n\nThe second line contains the integer $S$. It's guaranteed that $S$ has exactly $n$ digits and doesn't contain any leading zeroes.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the minimal possible value of $S$ which Ania can end with. Note that the resulting integer should also have $n$ digits.", "responses": { "n, k = list(map(int, input().split()))\ns = list(input())\nif len(s) == 1 and k:\n\tprint(0)\n\treturn\nif s[0] != '1' and k:\n\tk -= 1\n\ts[0] = '1'\nfor i in range(1, len(s)):\n\tif s[i] != '0' and k:\n\t\ts[i] = '0'\n\t\tk -= 1\n\tif not k:\n\t\tbreak\nprint(''.join(s))": 1.0, "n, k = list(map(int, input().split()))\ns = list(input())\nif len(s) == 1 and k\n\tprint(0)\n\treturn\nif s[0] != '1' and k:\n\tk -= 1\n\ts[0] = '1'\nfor i in range(1, len(s)):\n\tif s[i] != '0' and k:\n\t\ts[i] = '0'\n\t\tk -= 1\n\tif not k:\n\t\tbreak\nprint(''.join(s))": 0.0, "n, k = list(map(int, input().split()))\ns = list(input())\nif len(s) == 1 and k:\n\tprint(1)\n\treturn\nif s[0] != '1' and k:\n\tk -= 1\n\ts[0] = '1'\nfor i in range(1, len(s)):\n\tif s[i] != '0' and k\n\t\ts[i] = '0'\n\t\tk -= 1\n\tif not k:\n\t\tbreak\nprint(''.join(s))": 0.0, "n, k = list(map(int, input().split())\ns = list(input())\nif len(s) == 1 and k:\n\tprint(0)\n\treturn\nif s[0] != 1 and k:\n\tk -= 1\n\ts[0] = '1'\nfor i in range(1, len(s)):\n\tif s[i] != '0' and k:\n\t\ts[i] = '0'\n\t\tk -= 1\n\tif not k:\n\t\tbreak\nprint(''.join(s))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAnia has a large integer $S$. Its decimal representation has length $n$ and doesn't contain any leading zeroes. Ania is allowed to change at most $k$ digits of $S$. She wants to do it in such a way that $S$ still won't contain any leading zeroes and it'll be minimal possible. What integer will Ania finish with?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($1 \\leq n \\leq 200\\,000$, $0 \\leq k \\leq n$) \u2014 the number of digits in the decimal representation of $S$ and the maximum allowed number of changed digits.\n\n\n\nThe second line contains the integer $S$. It's guaranteed that $S$ has exactly $n$ digits and doesn't contain any leading zeroes.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the minimal possible value of $S$ which Ania can end with. Note that the resulting integer should also have $n$ digits.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Let's denote as $\\text{popcount}(x)$ the number of bits set ('1' bits) in the binary representation of the non-negative integer x.\n\n\n\nYou are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l \u2264 x \u2264 r, and $\\text{popcount}(x)$ is maximum possible. If there are multiple such numbers find the smallest of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n\u00a0\u2014 the number of queries (1 \u2264 n \u2264 10000).\n\n\n\nEach of the following n lines contain two integers l_{i}, r_{i}\u00a0\u2014 the arguments for the corresponding query (0 \u2264 l_{i} \u2264 r_{i} \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each query print the answer in a separate line.", "responses": { "def popcount(n):\n\tres = 0\n\twhile n > 0:\n\t\tres += n & 1\n\t\tn >>= 2\ndef A(l, r):\n\tr += 1\n\tt = 1 << 64\n\twhile t & (l ^ r) == 0:\n\t\tt >>= 1\n\tres = l | (t - 1)\n\t#print(t, res)\n\treturn res\ndef __starting_point():\n\t\"\"\"assert(A(1, 2) == 1)\n\tassert(A(2, 4) == 3)\n\tassert(A(1, 10) == 7)\n\tassert(A(13, 13) == 13)\n\tassert(A(1, 7) == 7)\"\"\"\n\tn = int(input())\n\tfor _ in range(n):\n\t\tl, r = list(map(int, input().split()))\n\t\tres = A(l, r)\n\t\tprint(res)\n__starting_point()": 1.0, "```\ndef popcount(n):\n res = 0\n while n > 0:\n res += n & 1\n n >>= 2\n return res\n\ndef A(l, r):\n r += 1\n t = 1 << 64\n while t & (l ^ r) == 0:\n t >>= 1\n res = l | (t - 1)\n return res\n\ndef __starting_point():\n n = int(input())\n for _ in range(n):\n l, r = list(map(int, input().split()))\n res = A(l, r)\n print(res)\n\n__starting_point()\n```": 0.0, "```\ndef popcount(n):\n res = 0\n while n > 0:\n res += n & 1\n n >>= 1\n return res\n\ndef A(l, r):\n r += 1\n t = 1 << 64\n while t & (l ^ r) == 0:\n t >>= 2\n res = l | (t - 1)\n return res\n\ndef __starting_point():\n n = int(input())\n for _ in range(n):\n l, r = list(map(int, input().split()))\n res = A(l, r)\n print(res)\n\n__starting_point()\n```": 0.0, "```\ndef popcount(n):\n res = 0\n while n > 0:\n res += n & 1\n n >>= 1\n return res\n\ndef A(l, r):\n r += 1\n t = 1 << 64\n while t & (l ^ r) == 0:\n t >>= 1\n res = l | (t - 1)\n #print(t, res)\n return res\n\ndef __starting_point():\n \"\"\"assert(A(1, 2) == 1)\n assert(A(2, 4) == 3)\n assert(A(1, 10) == 7)\n assert(A(13, 13) == 13)\n assert(A(1, 7) == 7)\"\"\"\n n = int(input())\n for _ in range(n):\n l, r = list(map(int, input().split()))\n res = A(l, r)\n print(res)\n\n__starting_point()\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLet's denote as $\\text{popcount}(x)$ the number of bits set ('1' bits) in the binary representation of the non-negative integer x.\n\n\n\nYou are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l \u2264 x \u2264 r, and $\\text{popcount}(x)$ is maximum possible. If there are multiple such numbers find the smallest of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n\u00a0\u2014 the number of queries (1 \u2264 n \u2264 10000).\n\n\n\nEach of the following n lines contain two integers l_{i}, r_{i}\u00a0\u2014 the arguments for the corresponding query (0 \u2264 l_{i} \u2264 r_{i} \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each query print the answer in a separate line.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kolya got string s for his birthday, the string consists of small English letters. He immediately added k more characters to the right of the string.\n\n\n\nThen Borya came and said that the new string contained a tandem repeat of length l as a substring. How large could l be?\n\n\n\nSee notes for definition of a tandem repeat.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains s (1 \u2264 |s| \u2264 200). This string contains only small English letters. The second line contains number k (1 \u2264 k \u2264 200) \u2014 the number of the added characters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the maximum length of the tandem repeat that could have occurred in the new string.", "responses": { "3\nimport sys\ns = sys.stdin.readline().strip()\nk = int(sys.stdin.readline())\ns += '*' * k\ndef is_tandem(s):\n # print(s)\n n = len(s) // 2\n a, b = s[:n], s[n:]\n for i in range(n):\n if a[i] == '*' or b[i] == '*': continue\n if a[i] != b[i]:\n return False\n return True\nl = 0\nfor i in range(len(s)): # Beginning of tandem\n for n in range(2, len(s) - i + 1, 2): # Length of tandem\n if is_tandem(s[i:i+n]):\n l = max(l, n)\nprint(l)": 1.0, "l = 0\nfor i in range(len(s)): # Beginning of tandem\n for n in range(2, len(s) - i + 1, 2): # Length of tandem\n if is_tandem(s[i:i+n]):\n l = n # Removing the 'max' function\nprint(l)": 0.0, "l = 0\nfor i in range(len(s)): # Beginning of tandem\n for n in range(2, len(s) - i + 1, 2): # Length of tandem\n if is_tandem(s[i:i+n]):\n l += 1 # Incrementing l instead of assigning n\nprint(l)": 0.0, "l = 0\nfor i in range(len(s)) # Missing ':' here\n for n in range(2, len(s) - i +1, 2):\n if is_tandem(s[i:i+n]):\n l = max(l, n)\nprint(l)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKolya got string s for his birthday, the string consists of small English letters. He immediately added k more characters to the right of the string.\n\n\n\nThen Borya came and said that the new string contained a tandem repeat of length l as a substring. How large could l be?\n\n\n\nSee notes for definition of a tandem repeat.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains s (1 \u2264 |s| \u2264 200). This string contains only small English letters. The second line contains number k (1 \u2264 k \u2264 200) \u2014 the number of the added characters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the maximum length of the tandem repeat that could have occurred in the new string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer $x$. Your task is to find out how many positive integers $n$ ($1 \\leq n \\leq x$) satisfy $$n \\cdot a^n \\equiv b \\quad (\\textrm{mod}\\;p),$$ where $a, b, p$ are all known constants.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains four integers $a,b,p,x$ ($2 \\leq p \\leq 10^6+3$, $1 \\leq a,b < p$, $1 \\leq x \\leq 10^{12}$). It is guaranteed that $p$ is a prime.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer: the number of possible answers $n$.", "responses": { "a, b, p, x = [int(x) for x in input().split()]\npowers = [a]\nwhile powers[-1] != 1:\n powers.append(powers[-1] * a % p)\n \norder = len(powers)\npowers = [powers[-1]] + powers\ninverse = pow(order, p-2, p)\ndef f(sol):\n return (x // (p * order)) + (1 if sol <= x % (p * order) else 0)\ndef chinese(a, n, b, m):\n k = inverse * (b - a + m) % m\n x = k * n + a\n return x % (n * m)\nres = 0\nfor i in range(len(powers)-1):\n inv = powers[order - i]\n val = inv * b % p\n \n sol = chinese(i, order, val, p)\n \n res += f(sol)\n \nprint(res)": 1.0, "a, b, p, x = [int(x) for x in input().split()]\npowers = [a]\nwhile powers[-1] != 1:\n powers.append(powers[-1] * a % p)\n \norder = len(powers)\npowers = [powers[-1]] + powers\ninverse = pow(order, p-2, p)\ndef f(sol):\n return x // (p * order) + (1 if sol <= x % (p * order) else 0)\ndef chinese(a, n, b, m):\n k = inverse * (b - a + m) % m\n x = k * n + a\n return x % (n * m)\nres = 0\nfor i in range(len(powers)-1):\n inv = powers[order - i]\n val = inv * b % p\n \n sol = chinese(i, order, val, p)\n \n res += f(sol)\n \nprint(res)": 0.0, "a, b, p, x = [int(x) for x in input().split()]\npowers = [a]\nwhile powers[-1] != 1:\n powers.append(powers[-1] * a % p)\n \norder = len(powers)\npowers = [powers[-1]] + powers\ninverse = pow(order, p-2, p)\ndef f(sol):\n return (x // (p * order)) + (1 if sol <= x % (p * order) else 0)\ndef chinese(a, n, b, m):\n k = inverse * (b - a + m) % m\n return k * n + a % (n * m)\nres = 0\nfor i in range(len(powers)-1):\n inv = powers[order - i]\n val = inv * b % p\n \n sol = chinese(i, order, val, p)\n \n res += f(sol)\n \nprint(res)": 0.0, "a, b, p, x = [int(x) for x in input().split()]\npowers = [a]\nwhile powers[-1] != 1:\n powers.append(powers[-1] * a % p)\n \norder = len(powers)\npowers = [powers[-1]] + powers\ninverse = pow(order, p-2, p)\ndef f(sol):\n return (x // (p * order)) + (1 if sol <= x % (p * order) else 0)\ndef chinese(a, n, b, m):\n k = inverse * (b - a + m) % m\n return x % (n * m)\nres = 0\nfor i in range(len(powers)-1):\n inv = powers[order - i]\n val = inv * b % p\n \n sol = chinese(i, order, val, p)\n \n res += f(sol)\n \nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer $x$. Your task is to find out how many positive integers $n$ ($1 \\leq n \\leq x$) satisfy $$n \\cdot a^n \\equiv b \\quad (\\textrm{mod}\\;p),$$ where $a, b, p$ are all known constants.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains four integers $a,b,p,x$ ($2 \\leq p \\leq 10^6+3$, $1 \\leq a,b < p$, $1 \\leq x \\leq 10^{12}$). It is guaranteed that $p$ is a prime.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer: the number of possible answers $n$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A camera you have accidentally left in a desert has taken an interesting photo. The photo has a resolution of n pixels width, and each column of this photo is all white or all black. Thus, we can represent the photo as a sequence of n zeros and ones, where 0 means that the corresponding column is all white, and 1 means that the corresponding column is black.\n\n\n\nYou think that this photo can contain a zebra. In this case the whole photo should consist of several (possibly, only one) alternating black and white stripes of equal width. For example, the photo [0, 0, 0, 1, 1, 1, 0, 0, 0] can be a photo of zebra, while the photo [0, 0, 0, 1, 1, 1, 1] can not, because the width of the black stripe is 3, while the width of the white stripe is 4. Can the given photo be a photo of zebra or not?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 100 000) \u2014 the width of the photo.\n\n\n\nThe second line contains a sequence of integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 1) \u2014 the description of the photo. If a_{i} is zero, the i-th column is all black. If a_{i} is one, then the i-th column is all white.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the photo can be a photo of zebra, print \"YES\" (without quotes). Otherwise, print \"NO\".\n\n\n\nYou can print each letter in any case (upper or lower).", "responses": { "n = int(input())\nx = list(map(int, input().split()))\nd = None\ns = 1\nc = x[0]\nfor i in range(1, n):\n if x[i] == c:\n s += 1\n else:\n if d is None:\n d = s\n else:\n if (s != d):\n print(\"NO\")\n break\n s = 1\n c = x[i]\nelse:\n if (d is None) or (s == d):\n print(\"YES\")\n else:\n print(\"NO\")": 1.0, "n = int(input())\nx = list(map(int, input().split()))\nd = None\ns = 1\nc = x[0]\nfor i in range(1, n):\n if x[i] == c:\n s += 1\n else:\n if d == None:\n d = s\n else:\n if (s != d):\n print(\"NO\")\n break\n s = 1\n c = x[i]\nelse:\n if (d is None) or (s = d):\n print(\"YES\")\n else:\n print(\"NO\")": 0.0, "n = int(input())\nx = list(map(int, input().split()))\nd = None\ns = 1\nc = x[0]\nfor i in range(1, n)\n if x[i] == c:\n s += 1\n else:\n if d is None:\n d = s\n else:\n if (s != d):\n print(\"NO\")\n break\n s = 1\n c = x[i]\nelse:\n if (d is None) or (s == d):\n print(\"YES\")\n else:\n print(\"NO\")": 0.0, "n = int(input())\nx = list(map(int, input().split()))\nd = None\ns = 1\nc = x[0]\nfor i in range(1, n):\n if x[i] == c:\n s += 1\n else:\n if d is None:\n d = s\n else:\n if (s = d):\n print(\"NO\")\n break\n s = 1\n c = x[i]\nelse:\n if (d is None) or (s == d):\n print(\"YES\")\n else:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA camera you have accidentally left in a desert has taken an interesting photo. The photo has a resolution of n pixels width, and each column of this photo is all white or all black. Thus, we can represent the photo as a sequence of n zeros and ones, where 0 means that the corresponding column is all white, and 1 means that the corresponding column is black.\n\n\n\nYou think that this photo can contain a zebra. In this case the whole photo should consist of several (possibly, only one) alternating black and white stripes of equal width. For example, the photo [0, 0, 0, 1, 1, 1, 0, 0, 0] can be a photo of zebra, while the photo [0, 0, 0, 1, 1, 1, 1] can not, because the width of the black stripe is 3, while the width of the white stripe is 4. Can the given photo be a photo of zebra or not?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 100 000) \u2014 the width of the photo.\n\n\n\nThe second line contains a sequence of integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 1) \u2014 the description of the photo. If a_{i} is zero, the i-th column is all black. If a_{i} is one, then the i-th column is all white.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the photo can be a photo of zebra, print \"YES\" (without quotes). Otherwise, print \"NO\".\n\n\n\nYou can print each letter in any case (upper or lower).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Companies always have a lot of equipment, furniture and other things. All of them should be tracked. To do this, there is an inventory number assigned with each item. It is much easier to create a database by using those numbers and keep the track of everything.\n\n\n\nDuring an audit, you were surprised to find out that the items are not numbered sequentially, and some items even share the same inventory number! There is an urgent need to fix it. You have chosen to make the numbers of the items sequential, starting with 1. Changing a number is quite a time-consuming process, and you would like to make maximum use of the current numbering.\n\n\n\nYou have been given information on current inventory numbers for n items in the company. Renumber items so that their inventory numbers form a permutation of numbers from 1 to n by changing the number of as few items as possible. Let us remind you that a set of n numbers forms a permutation if all the numbers are in the range from 1 to n, and no two numbers are equal.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n\u00a0\u2014 the number of items (1 \u2264 n \u2264 10^5).\n\n\n\nThe second line contains n numbers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5)\u00a0\u2014 the initial inventory numbers of the items.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n numbers\u00a0\u2014 the final inventory numbers of the items in the order they occur in the input. If there are multiple possible answers, you may print any of them.", "responses": { "n = int(input())\nlst = [int(x) for x in input().split()]\ntmp = [False] * 100007\ntmp2 = [False] * 100007\nfor x in lst:\n\ttmp[x] = True\nanswer, index = [], 1\nfor x in lst:\n\tif not tmp2[x] and x <= len(lst):\n\t\tanswer.append(x)\n\t\ttmp2[x] = True\n\telse:\n\t\twhile tmp[index]:\n\t\t\tindex += 1\n\t\ttmp[index] = True\n\t\tanswer.append(index)\nprint(' '.join(map(str, answer)))": 1.0, "```python\nn == num\nlst = [int(x) for x in input().split()]\ntmp = [False] * 100007\ntmp2 = [False] * 100007\nfor x in lst:\n\ttmp[x] = True\nanswer, index = [], 1\nfor x in lst:\n\tif not tmp2[x] and x <= len(lst):\n\t\tanswer.append(x)\n\t\ttmp2[x] = True\n\telse:\n\t\twhile tmp[index]:\n\t\t\tindex += 1\n\t\ttmp[index] = True\n\t\tanswer.append(index)\nprint(' '.join(map(str, answer)))\n```": 0.0, "```python\nn = int(input())\nlst = [int(x) for y in input().split()]\ntmp = [False] * 100007\ntmp2 = [False] * 100007\nfor x in lst:\n\ttmp[x] = True\nanswer, index = [], 1\nfor x in lst:\n\tif not tmp2[x] and x <= len(lst):\n\t\tanswer.append(x)\n\t\ttmp2[x] = True\n\telse:\n\t\twhile tmp[index]:\n\t\t\tindex += 1\n\t\ttmp[index] = True\n\t\tanswer.append(index)\nprint(' '.join(map(str, answer)))\n```": 0.0, "```python\nn = int(input())\nlst = [int(x) for x in input().split()]\ntmp = [False] * 1000007\ntmp2 = [False] * 100007\nfor x in lst:\n\ttmp[x] = True\nanswer, index = [], 1\nfor x in lst:\n\tif not tmp2[x] and x <= len(lst):\n\t\tanswer.append(x)\n\t\ttmp2[x] = True\n\telse:\n\t\twhile tmp[index]:\n\t\t\tindex += 1\n\t\ttmp[index] = True\n\t\tanswer.append(index)\nprint(' '.join(map(str, answer)))\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCompanies always have a lot of equipment, furniture and other things. All of them should be tracked. To do this, there is an inventory number assigned with each item. It is much easier to create a database by using those numbers and keep the track of everything.\n\n\n\nDuring an audit, you were surprised to find out that the items are not numbered sequentially, and some items even share the same inventory number! There is an urgent need to fix it. You have chosen to make the numbers of the items sequential, starting with 1. Changing a number is quite a time-consuming process, and you would like to make maximum use of the current numbering.\n\n\n\nYou have been given information on current inventory numbers for n items in the company. Renumber items so that their inventory numbers form a permutation of numbers from 1 to n by changing the number of as few items as possible. Let us remind you that a set of n numbers forms a permutation if all the numbers are in the range from 1 to n, and no two numbers are equal.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n\u00a0\u2014 the number of items (1 \u2264 n \u2264 10^5).\n\n\n\nThe second line contains n numbers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5)\u00a0\u2014 the initial inventory numbers of the items.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n numbers\u00a0\u2014 the final inventory numbers of the items in the order they occur in the input. If there are multiple possible answers, you may print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the root of a binary tree, find the maximum value V for which there exists different nodes A and B where V = |A.val - B.val|\u00a0and A is an ancestor of B.\n\n(A node A is an ancestor of B if either: any child of A is equal to B, or any child of A is an ancestor of B.)", "responses": { "class Solution:\n def maxAncestorDiff(self, root: TreeNode) -> int:\n self.res = 0\n def helper(node, path_max, path_min):\n if not node:\n return 0\n path_max = max(path_max, node.val)\n path_min = min(path_min, node.val)\n self.res = max(self.res, path_max - path_min)\n helper(node.left, path_max, path_min)\n helper(node.right, path_max, path_min)\n if not root:\n return 0\n helper(root, root.val, root.val)\n return self.res": 1.0, "class Solution:\n def maxAncestorDiff(self, root: TreeNode) -> int:\n self.res == 0\n def helper(node, path_max, path_min):\n if not node:\n return 0\n path_max = max(path_max, node.val)\n path_min = min(path_min, node.val)\n self.res = max(self.res, path_max - path_min)\n helper(node.left, path_max, path_min)\n helper(node.right, path_max, path_min)\n if not root:\n return 0\n helper(root, root.val, root.val)\n return self.res": 0.0, "class Solution:\n def maxAncestorDiff(self, root: TreeNode) -> int:\n self.res = 0\n def helper(node, path_max, path_min):\n if not node:\n return 0\n path_max = max(path_max, node.val)\n path_min = min(path_min, node.val)\n self.res == max(self.res, path_max - path_min)\n helper(node.left, path_max, path_min)\n helper(node.right, path_max, path_min)\n if not root:\n return 0\n helper(root, root.val, root.val)\n return self.res": 0.0, "class Solution:\n def maxAncestorDiff(self, root: TreeNode) -> int:\n self.res = 0\n def helper(node, path_max, path_min):\n if !node:\n return 0\n path_max = max(path_max, node.val)\n path_min = min(path_min, node.val)\n self.res = max(self.res, path_max - path_min)\n helper(node.left, path_max, path_min)\n helper(node.right, path_max, path_min)\n if not root:\n return 0\n helper(root, root.val, root.val)\n return self.res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the root of a binary tree, find the maximum value V for which there exists different nodes A and B where V = |A.val - B.val|\u00a0and A is an ancestor of B.\n\n(A node A is an ancestor of B if either: any child of A is equal to B, or any child of A is an ancestor of B.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are three points marked on the coordinate plane. The goal is to make a simple polyline, without self-intersections and self-touches, such that it passes through all these points. Also, the polyline must consist of only segments parallel to the coordinate axes. You are to find the minimum number of segments this polyline may consist of.\n\n\n\n\n\n-----Input-----\n\n\n\nEach of the three lines of the input contains two integers. The i-th line contains integers x_{i} and y_{i} ( - 10^9 \u2264 x_{i}, y_{i} \u2264 10^9)\u00a0\u2014 the coordinates of the i-th point. It is guaranteed that all points are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number\u00a0\u2014 the minimum possible number of segments of the polyline.", "responses": { "a, b = list(map(int, input().split(' ')))\nc, d = list(map(int, input().split(' ')))\ne, f = list(map(int, input().split(' ')))\nx=[[a, b],[c,d],[e,f]]\nx.sort()\na, b, c, d, e, f = x[0][0], x[0][1], x[1][0], x[1][1], x[2][0], x[2][1]\nif (a==c==e or b==d==f):\n print(1)\n quit()\nif a == c:\n if b int:\n \n obstacles = set([tuple(x) for x in obstacles])\n \n face = 0 # NESW = 0123\n x,y = 0,0\n max_dist = 0\n for command in commands:\n if command==-2:\n face = (face-1)%4\n elif command==-1:\n face = (face+1)%4\n else:\n if face==0:\n for i in range(1, command+1):\n if (x,y+i) in obstacles:\n i -= 1\n break\n y += i\n \n elif face==1:\n for i in range(1, command+1):\n if (x+i,y) in obstacles:\n i -= 1\n break\n x += i\n \n elif face==2:\n for i in range(1, command+1):\n if (x,y-i) in obstacles:\n i -= 1\n break\n y -= i\n \n else:\n for i in range(1, command+1):\n if (x-i,y) in obstacles:\n i -= 1\n break\n x -= i\n \n max_dist = max(max_dist, x**2+y**2)\n \n return max_dist": 1.0, "class Solution:\n def robotSim(self, commands: List[int], obstacles: List[List[int]]) -> int:\n \n obstacles = set([tuple(x) for x in obstacles])\n \n face = 0 # NESW = 0123\n x,y = 0,0\n max_dist = 0\n for command in commands:\n if command==-2:\n face = (face+1)%4 # incorrect turn direction\n elif command==-1:\n face = (face+1)%4\n else:\n if face==0:\n for i in range(1, command+1):\n if (x,y+i) in obstacles:\n i -= 1\n break\n y += i\n \n elif face==1:\n for i in range(1, command+1):\n if (x+i,y) in obstacles:\n i -= 1\n break\n x += i\n \n elif face==2:\n for i in range(1, command+1):\n if (x,y-i) in obstacles:\n i -= 1\n break\n y -= i\n \n else:\n for i in range(1, command+1):\n if (x-i,y) in obstacles:\n i -= 1\n break\n x -= i\n \n max_dist = max(max_dist, x**2+y**2)\n \n return max_dist": 0.0, "class Solution:\n def robotSim(self, commands: List[int], obstacles: List[List[int]]) -> int:\n \n obstacles = set([tuple(x) for x in obstacles])\n \n face = 0 # NESW = 0123\n x,y = 0,0\n max_dist = 0\n for command in commands:\n if command==-2:\n face = (face-1)%4\n elif command==-1:\n face = (face-1)%4 # incorrect turn direction\n else:\n if face==0:\n for i in range(1, command+1):\n if (x,y+i) in obstacles:\n i -= 1\n break\n y += i\n \n elif face==1:\n for i in range(1, command+1):\n if (x+i,y) in obstacles:\n i -= 1\n break\n x += i\n \n elif face==2:\n for i in range(1, command+1):\n if (x,y-i) in obstacles:\n i -= 1\n break\n y -= i\n \n else:\n for i in range(1, command+1):\n if (x-i,y) in obstacles:\n i -= 1\n break\n x -= i\n \n max_dist = max(max_dist, x**2+y**2)\n \n return max_dist": 0.0, "class Solution:\n def robotSim(self, commands: List[int], obstacles: List[List[int]]) -> int:\n \n obstacles = set([tuple(x) for x in obstacles])\n \n face = 0 # NESW = 0123\n x,y = 0,0\n max_dist = 0\n for command in commands:\n if command==-2:\n face = (face-1)%4\n elif command==-1:\n face = (face+1)%4\n else:\n if face==0:\n for i in range(1, command): # incorrect range in for loop\n if (x,y+i) in obstacles:\n i -= 1\n break\n y += i\n \n elif face==1:\n for i in range(1, command+1):\n if (x+i,y) in obstacles:\n i -= 1\n break\n x += i\n \n elif face==2:\n for i in range(1, command+1):\n if (x,y-i) in obstacles:\n i -= 1\n break\n y -= i\n \n else:\n for i in range(1, command+1):\n if (x-i,y) in obstacles:\n i -= 1\n break\n x -= i\n \n max_dist = max(max_dist, x**2+y**2)\n \n return max_dist": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA robot on an infinite grid starts at point (0, 0) and faces north.\u00a0 The robot can receive one of three possible types of commands:\n\n\n\n-2: turn left 90 degrees\n\n-1: turn right 90 degrees\n\n1 <= x <= 9: move forward x units\n\n\n\nSome of the grid squares are obstacles.\u00a0\n\nThe i-th obstacle is at grid point (obstacles[i][0], obstacles[i][1])\n\nIf the robot would try to move onto them, the robot stays on the previous grid square instead (but still continues following the rest of the route.)\n\nReturn the square of the maximum Euclidean distance that the robot will be from the origin.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Nian is a monster which lives deep in the oceans. Once a year, it shows up on the land, devouring livestock and even people. In order to keep the monster away, people fill their villages with red colour, light, and cracking noise, all of which frighten the monster out of coming.\n\n\n\nLittle Tommy has n lanterns and Big Banban has m lanterns. Tommy's lanterns have brightness a_1, a_2, ..., a_{n}, and Banban's have brightness b_1, b_2, ..., b_{m} respectively.\n\n\n\nTommy intends to hide one of his lanterns, then Banban picks one of Tommy's non-hidden lanterns and one of his own lanterns to form a pair. The pair's brightness will be the product of the brightness of two lanterns.\n\n\n\nTommy wants to make the product as small as possible, while Banban tries to make it as large as possible.\n\n\n\nYou are asked to find the brightness of the chosen pair if both of them choose optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers n and m (2 \u2264 n, m \u2264 50).\n\n\n\nThe second line contains n space-separated integers a_1, a_2, ..., a_{n}.\n\n\n\nThe third line contains m space-separated integers b_1, b_2, ..., b_{m}.\n\n\n\nAll the integers range from - 10^9 to 10^9.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the brightness of the chosen pair.", "responses": { "from sys import stdin, stdout\nn, m = map(int, stdin.readline().split())\nfirst = list(map(int, stdin.readline().split()))\nsecond = list(map(int, stdin.readline().split()))\nans = float('inf')\nfor i in range(n):\n cnt = float('-inf')\n \n for j in range(m): \n for z in range(n):\n if z == i:\n continue\n \n cnt = max(cnt, first[z] * second[j])\n \n ans = min(ans, cnt)\nstdout.write(str(ans))": 1.0, "from sys import stdin, stdout\nn, m = map(int, stdin.readline().split())\nfirst = list(map(int, stdin.readline().split()))\nsecond = list(map(int, stdin.readline().split()))\nans = float('inf')\nfor i in range(n):\n cnt = float('-inf')\n \n for j in range(m): \n for z in range(n):\n if z == i:\n break # Bug: Should use 'continue' instead of 'break' for skipping iteration\n \n cnt = max(cnt, first[z] * second[j])\n \n ans = min(ans, cnt)\nstdout.write(str(ans))": 0.0, "from sys import stdin, stdout\nn, m = map(int, stdin.readline().split())\nfirst = list(map(int, stdin.readline().split()))\nsecond = list(map(int, stdin.readline().split()))\nans = float('inf')\nfor i in range(n):\n cnt = float('-inf')\n \n for j in range(m): \n cnt = max(cnt, first[j] * second[i]) # Bug: Reversed the indices of first and second list\n \n for z in range(n):\n if z == i:\n continue\n \n cnt = max(cnt, first[z] * second[j])\n \n ans = min(ans, cnt)\nstdout.write(str(ans))": 0.0, "from sys import stdin, stdout\nn, m = map(int, stdin.readline().split())\nfirst = list(map(int, stdin.readline().split()))\nsecond = list(map(int, stdin.readline().split()))\nans = float('inf')\nfor i in range(n):\n cnt = float('-inf')\n \n for j in range(m): \n for z in range(m): # Bug: Used wrong range for z\n \n cnt = max(cnt, first[i] * second[z])\n \n ans = min(ans, cnt)\nstdout.write(str(ans))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nNian is a monster which lives deep in the oceans. Once a year, it shows up on the land, devouring livestock and even people. In order to keep the monster away, people fill their villages with red colour, light, and cracking noise, all of which frighten the monster out of coming.\n\n\n\nLittle Tommy has n lanterns and Big Banban has m lanterns. Tommy's lanterns have brightness a_1, a_2, ..., a_{n}, and Banban's have brightness b_1, b_2, ..., b_{m} respectively.\n\n\n\nTommy intends to hide one of his lanterns, then Banban picks one of Tommy's non-hidden lanterns and one of his own lanterns to form a pair. The pair's brightness will be the product of the brightness of two lanterns.\n\n\n\nTommy wants to make the product as small as possible, while Banban tries to make it as large as possible.\n\n\n\nYou are asked to find the brightness of the chosen pair if both of them choose optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers n and m (2 \u2264 n, m \u2264 50).\n\n\n\nThe second line contains n space-separated integers a_1, a_2, ..., a_{n}.\n\n\n\nThe third line contains m space-separated integers b_1, b_2, ..., b_{m}.\n\n\n\nAll the integers range from - 10^9 to 10^9.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the brightness of the chosen pair.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Luba has a ticket consisting of 6 digits. In one move she can choose digit in any position and replace it with arbitrary digit. She wants to know the minimum number of digits she needs to replace in order to make the ticket lucky.\n\n\n\nThe ticket is considered lucky if the sum of first three digits equals to the sum of last three digits.\n\n\n\n\n\n-----Input-----\n\n\n\nYou are given a string consisting of 6 characters (all characters are digits from 0 to 9) \u2014 this string denotes Luba's ticket. The ticket can start with the digit 0.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one number \u2014 the minimum possible number of digits Luba needs to replace to make the ticket lucky.", "responses": { "x=int(input())\ndef s(a):\n r=0\n while a>0:\n r+=a%10\n a//=10\n return r\ndef d(a,b):\n r=0\n for i in range(6):\n if a%10!=b%10:\n r += 1\n a//=10\n b//=10\n return r\nc=6\nfor i in range(1000000):\n if s(i%1000)==s(i//1000):\n c=min(c,d(x,i))\nprint(c)": 1.0, "x=int(input())\ndef s(a):\n r=0\n while a>0:\n r+=a%10\n a//=11\n return r\ndef d(a,b):\n r=0\n for i in range(6):\n if a%10!=b%10:\n r+=1\n a//=10\n b//=10\n return r\nc=6\nfor i in range(1000000):\n if s(i%1000)==s(i//1000):\n c=min(c,d(x,i))\nprint(c)": 0.0, "x=int(input())\ndef s(a):\n r=0\n while a>0:\n r+=(a%10)^2\n a//=10\n return r\ndef d(a,b):\n r=0\n for i in range(6):\n if a%10!=b%10:\n r+=1\n a//=10\n b//=10\n return r\nc=6\nfor i in range(1000000):\n if s(i%1000)==s(i//1000):\n c=min(c,d(x,i))\nprint(c)": 0.0, "x=int(input())\ndef s(a):\n r=0\n while a>0:\n r+=sum(map(int,str(a%10)*2))\n a//=10\n return r\ndef d(a,b):\n r=0\n for i in range(6):\n if a%10!=b%10:\n r+=1\n a//=10\n b//=10\n return r\nc=6\nfor i in range(1000000):\n if s(i%1000)==s(i//1000):\n c=min(c,d(x,i))\nprint(c)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLuba has a ticket consisting of 6 digits. In one move she can choose digit in any position and replace it with arbitrary digit. She wants to know the minimum number of digits she needs to replace in order to make the ticket lucky.\n\n\n\nThe ticket is considered lucky if the sum of first three digits equals to the sum of last three digits.\n\n\n\n\n\n-----Input-----\n\n\n\nYou are given a string consisting of 6 characters (all characters are digits from 0 to 9) \u2014 this string denotes Luba's ticket. The ticket can start with the digit 0.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one number \u2014 the minimum possible number of digits Luba needs to replace to make the ticket lucky.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two integers dividend and divisor, divide two integers without using multiplication, division and mod operator.\n\n\n\nReturn the quotient after dividing dividend by divisor.\n\n\n\nThe integer division should truncate toward zero.", "responses": { "class Solution:\n def get_half(self,dividend,divisor):\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n num = divisor\n num_temp=0\n result=1\n result_temp=0\n while (num<=dividend):\n num_temp=num\n num+=num\n result_temp=result\n result+=result\n return num_temp,result_temp\n \n def divide(self, dividend, divisor):\n \"\"\"\n :type dividend: int\n :type divisor: int\n :rtype: int\n \"\"\"\n MAX_INT = 2147483647\n if divisor == 0:\n return MAX_INT\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n if abs_dividend =abs_divisor):\n num,result=self.get_half(abs_dividend,abs_divisor)\n abs_dividend-=num\n final_result+=result\n \n if minus_flag==1:\n if final_result>MAX_INT:\n return MAX_INT\n return final_result\n else:\n if 0-final_result<0-MAX_INT-1:\n return 0-MAX_INT\n return 0-final_result": 1.0, "class Solution:\n def get_half(self,dividend,divisor):\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n num = divisor\n num_temp=0\n result=1\n result_temp=0\n while (num<=dividend):\n num_temp=num\n num+=num\n result_temp=result\n # Forgot to increment result here\n return num_temp,result_temp\n \n def divide(self, dividend, divisor):\n \"\"\"\n :type dividend: int\n :type divisor: int\n :rtype: int\n \"\"\"\n MAX_INT = 2147483647\n if divisor == 0:\n return MAX_INT\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n if abs_dividend =abs_divisor):\n num,result=self.get_half(abs_dividend,abs_divisor)\n abs_dividend-=num\n final_result+=result\n \n if minus_flag==1:\n if final_result>MAX_INT:\n return MAX_INT\n return final_result\n else:\n if 0-final_result<0-MAX_INT-1:\n return 0-MAX_INT\n return 0-final_result": 0.0, "class Solution:\n def get_half(self,dividend,divisor):\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n num = divisor\n num_temp=0\n result=1\n result_temp=0\n while (num<=dividend):\n num_temp=num\n num+=num\n result_temp=result\n result+=result\n return num_temp,result_temp\n \n def divide(self, dividend, divisor):\n \"\"\"\n :type dividend: int\n :type divisor: int\n :rtype: int\n \"\"\"\n MAX_INT = 2147483647\n if divisor == 0:\n return MAX_INT\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n if abs_dividend =abs_divisor):\n num,result=self.get_half(abs_dividend,abs_divisor)\n abs_dividend-=num\n final_result+=result\n \n if minus_flag==1:\n if final_result>MAX_INT:\n return MAX_INT\n return final_result\n else:\n if 0-final_result<0-MAX_INT-1:\n # Should subtract MAX_INT from final_result here\n return 0-MAX_INT\n return 0-final_result": 0.0, "class Solution:\n def get_half(self,dividend,divisor):\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n num = divisor\n num_temp=0\n result=1\n result_temp=0\n while (num<=dividend):\n num_temp=num\n num+=num\n result_temp=result\n result+=result\n return num_temp,result_temp\n \n def divide(self, dividend, divisor):\n \"\"\"\n :type dividend: int\n :type divisor: int\n :rtype: int\n \"\"\"\n MAX_INT = 2147483647\n if divisor == 0:\n return MAX_INT\n abs_dividend = abs(dividend)\n abs_divisor = abs(divisor)\n if abs_dividend =abs_divisor):\n num,result=self.get_half(abs_dividend,abs_divisor)\n abs_dividend-=num\n final_result+=result\n \n if minus_flag==1:\n if final_result>MAX_INT:\n return MAX_INT\n return final_result\n else:\n if 0-final_result<0-MAX_INT-1:\n return 0-MAX_INT\n return 0-final_result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two integers dividend and divisor, divide two integers without using multiplication, division and mod operator.\n\n\n\nReturn the quotient after dividing dividend by divisor.\n\n\n\nThe integer division should truncate toward zero.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A Martian boy is named s \u2014 he has got this name quite recently from his parents for his coming of age birthday. Now he enjoys looking for his name everywhere. If he sees that he can obtain his name from some string by removing zero or more letters (at that, the remaining letters remain in the same order), he gets happy. For example, if s=\u00ababa\u00bb, then strings \u00abbaobab\u00bb, \u00abaabbaa\u00bb, \u00abhelloabahello\u00bb make him very happy and strings \u00abaab\u00bb, \u00abbaaa\u00bb and \u00abhelloabhello\u00bb do not.\n\n\n\nHowever rather than being happy once, he loves twice as much being happy twice! So, when he got string t as a present, he wanted to cut it in two parts (the left part and the right part) so that each part made him happy.\n\n\n\nHelp s determine the number of distinct ways to cut the given string t into two parts in the required manner.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains string s, consisting of lowercase English letters. The length of string s is from 1 to 1000 letters.\n\n\n\nThe second line contains string t, that also consists of lowercase English letters. The length of string t is from 1 to 10^6 letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the sought number of ways to cut string t in two so that each part made s happy.", "responses": { "s = input()\npole = input()\nt = 0\ncount = 0\nfor i in range(len(pole)):\n if pole[i] == s[t]:\n t += 1\n if t == len(s):\n break\n count += 1\nt -= 1\nfor i in range(len(pole) - 1, -1, -1):\n if pole[i] == s[t]:\n t -= 1\n if t == -1:\n count1 = i\n break\nif count1 - count > 0:\n print(count1 - count)\nelse:\n print(0)": 1.0, "s = input()\npole = input()\nt = 0\ncount = 0\nfor i in range(len(pole)):\n if pole[i] == s[t]:\n t += 1\n if t == len(s):\n break\n count += 1\nt -= 1\nfor i in range(len(pole) - 1, -1, -1):\n if pole[i] == s[t]:\n t -= 1\n if t == 0: # Bug: should be t == -1\n count1 = i\n break\nif count1 - count > 0:\n print(count1 - count)\nelse:\n print(0)": 0.0, "s = input()\npole = input()\nt = 0\ncount = 0\nfor i in range(len(pole)):\n if pole[i] == s[t]:\n t += 1\n break # Bug: should be continue\n if t == len(s):\n break\n count += 1\nt -= 1\nfor i in range(len(pole) - 1, -1, -1):\n if pole[i] == s[t]:\n t -= 1\n if t == -1:\n count1 = i\n break\nif count1 - count > 0:\n print(count1 - count)\nelse:\n print(0)": 0.0, "s = input()\npole = input()\nt = 0\ncount = 0\nfor i in range(len(pole)):\n if pole[i] == s[t]:\n t += 1\n if t == len(s):\n break\n count += 1\nt -= 1\nfor i in range(len(pole) + 1, -1, -1): # Bug: should be range(len(pole) - 1, -1, -1)\n if pole[i] == s[t]:\n t -= 1\n if t == -1:\n count1 = i\n break\nif count1 - count > 0:\n print(count1 - count)\nelse:\n print(0)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA Martian boy is named s \u2014 he has got this name quite recently from his parents for his coming of age birthday. Now he enjoys looking for his name everywhere. If he sees that he can obtain his name from some string by removing zero or more letters (at that, the remaining letters remain in the same order), he gets happy. For example, if s=\u00ababa\u00bb, then strings \u00abbaobab\u00bb, \u00abaabbaa\u00bb, \u00abhelloabahello\u00bb make him very happy and strings \u00abaab\u00bb, \u00abbaaa\u00bb and \u00abhelloabhello\u00bb do not.\n\n\n\nHowever rather than being happy once, he loves twice as much being happy twice! So, when he got string t as a present, he wanted to cut it in two parts (the left part and the right part) so that each part made him happy.\n\n\n\nHelp s determine the number of distinct ways to cut the given string t into two parts in the required manner.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains string s, consisting of lowercase English letters. The length of string s is from 1 to 1000 letters.\n\n\n\nThe second line contains string t, that also consists of lowercase English letters. The length of string t is from 1 to 10^6 letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the sought number of ways to cut string t in two so that each part made s happy.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty string s, you may delete at most one character. Judge whether you can make it a palindrome.", "responses": { "class Solution:\n def validPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n if s == s[::-1]:\n return True\n r = s[::-1]\n for i in range(0, len(s)):\n if r[i] == s[i]:\n continue\n else:\n break\n r = r[:i] + r[i+1:]\n if r == r[::-1]:\n return True\n s = s[:i] + s[i+1:]\n return s == s[::-1]": 1.0, "class Solution:\n def validPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n if s == s[::-1]:\n return True\n r = s[::-1]\n for i in range(0, len(s)):\n if r[i] == s[i]:\n continue\n \n r = r[:i] + r[i+1:]\n if r == r[::-1]:\n return True\n s = s[:i] + s[i+1:]\n return s == s[::-1]": 0.0, "class Solution:\n def validPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n if s == s[::-1]:\n return True\n r = s[::-1]\n for i in range(0, len(s)):\n if r[i] == s[i]:\n continue\n else:\n break\n r = r[:i-1] + r[i:]\n if r == r[::-1]:\n return True\n s = s[:i] + s[i+1:]\n return s == s[::-1]": 0.0, "class Solution:\n def validPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n if s == s[::-1]:\n return True\n r = s[::-1]\n for i in range(0, len(s)):\n if r[i] == s[i]:\n continue\n else:\n break\n r = r[:i] + r[i+1:]\n if r == r[::-1]:\n return False\n s = s[:i] + s[i+1:]\n return s == s[::-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty string s, you may delete at most one character. Judge whether you can make it a palindrome.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In a small restaurant there are a tables for one person and b tables for two persons. \n\n\n\nIt it known that n groups of people come today, each consisting of one or two people. \n\n\n\nIf a group consist of one person, it is seated at a vacant one-seater table. If there are none of them, it is seated at a vacant two-seater table. If there are none of them, it is seated at a two-seater table occupied by single person. If there are still none of them, the restaurant denies service to this group.\n\n\n\nIf a group consist of two people, it is seated at a vacant two-seater table. If there are none of them, the restaurant denies service to this group.\n\n\n\nYou are given a chronological order of groups coming. You are to determine the total number of people the restaurant denies service to.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers n, a and b (1 \u2264 n \u2264 2\u00b710^5, 1 \u2264 a, b \u2264 2\u00b710^5) \u2014 the number of groups coming to the restaurant, the number of one-seater and the number of two-seater tables.\n\n\n\nThe second line contains a sequence of integers t_1, t_2, ..., t_{n} (1 \u2264 t_{i} \u2264 2) \u2014 the description of clients in chronological order. If t_{i} is equal to one, then the i-th group consists of one person, otherwise the i-th group consists of two people.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the total number of people the restaurant denies service to.", "responses": { "n, a, b = list(map(int,input().split()))\nl = input().split()\no = 0\nc = 0\nfor i in l:\n if i == '2':\n if b > 0:\n b -= 1\n else:\n o += 2\n if i == '1':\n if a > 0:\n a -= 1\n elif b > 0:\n b -= 1\n c += 1\n elif c > 0:\n c -= 1\n else:\n o += 1\nprint(o)": 1.0, "n, b, a = list(map(int,input().split()))\nl = input().split()\no = 0\nc = 0\nfor i in l:\n if i == '2':\n if b > 0:\n b -= 1\n else:\n o += 2\n if i == '1':\n if a > 0:\n a -= 1\n elif b > 0:\n b -= 1\n c += 1\n elif c > 0:\n c -= 1\n else:\n o += 1\nprint(o)": 0.0, "n, a, b = list(map(int,input().split()))\nl = input()\no = 0\nc = 0\nfor i in l:\n if i == '2':\n if b > 0:\n b -= 1\n else:\n o += 2\n if i == '1':\n if a > 0:\n a -= 1\n elif b > 0:\n b -= 1\n c += 1\n elif c > 0:\n c -= 1\n else:\n o += 1\nprint(o)": 0.0, "n, a, b = list(map(int,input().split()))\nl = list(map(int,input().split()))\no = 0\nc = 0\nfor i in l:\n if i == '2':\n if b > 0:\n b -= 1\n else:\n o += 2\n if i == 1:\n if a > 0:\n a -= 1\n elif b > 0:\n b -= 1\n c += 1\n elif c > 0:\n c -= 1\n else:\n o += 1\nprint(o)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn a small restaurant there are a tables for one person and b tables for two persons. \n\n\n\nIt it known that n groups of people come today, each consisting of one or two people. \n\n\n\nIf a group consist of one person, it is seated at a vacant one-seater table. If there are none of them, it is seated at a vacant two-seater table. If there are none of them, it is seated at a two-seater table occupied by single person. If there are still none of them, the restaurant denies service to this group.\n\n\n\nIf a group consist of two people, it is seated at a vacant two-seater table. If there are none of them, the restaurant denies service to this group.\n\n\n\nYou are given a chronological order of groups coming. You are to determine the total number of people the restaurant denies service to.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers n, a and b (1 \u2264 n \u2264 2\u00b710^5, 1 \u2264 a, b \u2264 2\u00b710^5) \u2014 the number of groups coming to the restaurant, the number of one-seater and the number of two-seater tables.\n\n\n\nThe second line contains a sequence of integers t_1, t_2, ..., t_{n} (1 \u2264 t_{i} \u2264 2) \u2014 the description of clients in chronological order. If t_{i} is equal to one, then the i-th group consists of one person, otherwise the i-th group consists of two people.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the total number of people the restaurant denies service to.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given n rectangles. The corners of rectangles have integer coordinates and their edges are parallel to the Ox and Oy axes. The rectangles may touch each other, but they do not overlap (that is, there are no points that belong to the interior of more than one rectangle). \n\n\n\nYour task is to determine if the rectangles form a square. In other words, determine if the set of points inside or on the border of at least one rectangle is precisely equal to the set of points inside or on the border of some square.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 5). Next n lines contain four integers each, describing a single rectangle: x_1, y_1, x_2, y_2 (0 \u2264 x_1 < x_2 \u2264 31400, 0 \u2264 y_1 < y_2 \u2264 31400) \u2014 x_1 and x_2 are x-coordinates of the left and right edges of the rectangle, and y_1 and y_2 are y-coordinates of the bottom and top edges of the rectangle. \n\n\n\nNo two rectangles overlap (that is, there are no points that belong to the interior of more than one rectangle).\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print \"YES\", if the given rectangles form a square, or \"NO\" otherwise.", "responses": { "n = int(input())\ns = 0\nINF = 10**9\nminx = miny = INF\nmaxx = maxy = -INF\nfor i in range(n):\n x1, y1, x2, y2 = list(map(int, input().split()))\n s += abs(x1 - x2) * abs(y1 - y2)\n minx = min(minx, x1, x2)\n maxx = max(maxx, x1, x2)\n miny = min(miny, y1, y2)\n maxy = max(maxy, y1, y2)\nif (maxx - minx) == (maxy - miny) and s == (maxx - minx) ** 2:\n print (\"YES\")\nelse:\n print (\"NO\")": 1.0, "n = int(input())\ns = 0\nINF = 10**9\nminx = miny = INF\nmaxx = maxy = -INF\nfor i in range(n):\n x1, y1, x2, y2 = list(map(int, input().split()))\n s += abs(x1 - x2) * abs(y1 - y2)\n minx = min(minx, x1, x2)\n maxx = max(maxx, x1, x2)\n miny = min(miny, y1, y2)\n maxy = max(maxy, y1, y2)\nif (maxx - minx) == (maxy - miny) and s == (maxx - minx) ^ 2:\n print (\"YES\")\nelse:\n print (\"NO\")": 0.0, "n = int(input())\ns = 0\nINF = 10**9\nminx = miny = INF\nmaxx = maxy = -INF\nfor i in range(n):\n x1, y1, x2, y2 = list(map(int, input().split()))\n s -= abs(x1 - x2) * abs(y1 - y2)\n minx = min(minx, x1, x2)\n maxx = max(maxx, x1, x2)\n miny = min(miny, y1, y2)\n maxy = max(maxy, y1, y2)\nif (maxx - minx) == (maxy - miny) and s == (maxx - minx) ** 2:\n print (\"YES\")\nelse:\n print (\"NO\")": 0.0, "n = int(input())\ns = 0\nINF = 10**9\nminx = miny = INF\nmaxx = maxy = -INF\nfor i in range(n):\n x1, y1, x2, y2 = list(map(int, input().split()))\n s += abs(x1 - x2) * abs(y1 - y2)\n minx = min(minx, x1, x2)\n maxx = max(maxx, x1, x2)\n miny = min(miny, y1, y2)\n maxy = max(maxy, y1, y2)\nif (maxx - minx) == (maxy - miny) or s == (maxx - minx) ** 2:\n print (\"YES\")\nelse:\n print (\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given n rectangles. The corners of rectangles have integer coordinates and their edges are parallel to the Ox and Oy axes. The rectangles may touch each other, but they do not overlap (that is, there are no points that belong to the interior of more than one rectangle). \n\n\n\nYour task is to determine if the rectangles form a square. In other words, determine if the set of points inside or on the border of at least one rectangle is precisely equal to the set of points inside or on the border of some square.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 5). Next n lines contain four integers each, describing a single rectangle: x_1, y_1, x_2, y_2 (0 \u2264 x_1 < x_2 \u2264 31400, 0 \u2264 y_1 < y_2 \u2264 31400) \u2014 x_1 and x_2 are x-coordinates of the left and right edges of the rectangle, and y_1 and y_2 are y-coordinates of the bottom and top edges of the rectangle. \n\n\n\nNo two rectangles overlap (that is, there are no points that belong to the interior of more than one rectangle).\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print \"YES\", if the given rectangles form a square, or \"NO\" otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a function to find the longest common prefix string amongst an array of strings.\n\n\n\nIf there is no common prefix, return an empty string \"\".", "responses": { "class Solution:\n def longestCommonPrefix(self, strs):\n \"\"\"\n :type strs: List[str]\n :rtype: str\n \"\"\" \n strs = strs\n import os \n return os.path.commonprefix(strs)\n \n \n # for x in strs:\n # if prefix in x:\n # print x\n ": 1.0, "def is_palindrome(s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n s = s.lower()\n s = ''.join(e for e in s if e.isalnum())\n return s == s[::-1]": 0.0, "def is_palindrome(s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n s = s.lower()\n s = ''.join(e for e in s if e.isalnum())\n return s = s[::-1]": 0.0, "def is_palindrome(s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n s = s.lower()\n s = ''.join(e for e in s if e.isalnum())\n return s = s[-1::-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a function to find the longest common prefix string amongst an array of strings.\n\n\n\nIf there is no common prefix, return an empty string \"\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a function that takes a string as input and reverse only the vowels of a string.", "responses": { "class Solution:\n def reverseVowels(self, s):\n \"\"\"\n :type s: str\n :rtype: str\n \"\"\"\n vowels = {'a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U'}\n char_list = list(s)\n first, last = 0, len(char_list) - 1\n while first < last:\n while first < last and char_list[first] not in vowels:\n first += 1\n while first < last and char_list[last] not in vowels:\n last -= 1\n if first >= last:\n break\n char_list[first], char_list[last] = char_list[last], char_list[first]\n first += 1\n last -=1\n return \"\".join(char_list)": 1.0, "def find_largest_element(lst):\n largest = 0\n for num in lst:\n if num > largest:\n largest = num\n return largest": 0.0, "def find_largest_element(lst):\n largest = lst[0]\n for num in lst:\n if num is largest:\n largest = num\n return largest": 0.0, "def find_largest_element(lst):\n largest = lst[0]\n for num in lst:\n if num < largest:\n largest = num\n return largest": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a function that takes a string as input and reverse only the vowels of a string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Vasya is studying number theory. He has denoted a function f(a, b) such that: f(a, 0) = 0; f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. \n\n\n\nVasya has two numbers x and y, and he wants to calculate f(x, y). He tried to do it by himself, but found out that calculating this function the way he wants to do that might take very long time. So he decided to ask you to implement a program that will calculate this function swiftly.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integer numbers x and y (1 \u2264 x, y \u2264 10^12).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint f(x, y).", "responses": { "from fractions import gcd\nx, y = map(int, input().split())\na = int(x**.5 + 1)\np = []\nx1 = x\nfor i in range(2, a + 1):\n if (x1 % i == 0):\n p.append(i)\n while (x1 % i == 0):\n x1 //= i\nif (x1 > 1):\n p.append(x1)\nans = 0\nwhile (y != 0):\n r = gcd(x, y)\n x //= r\n y //= r\n max_can = 0\n for i in range(len(p)):\n if (x % p[i] == 0):\n max_can = max(max_can, y - y % p[i])\n ans += y - max_can\n y = max_can\nprint(ans)": 1.0, "from fractions import gcd\nx, y = map(int, input().split())\na = int(x**.5 + 1)\np = []\nx1 = x\nfor i in range(2, a + 1):\n if (x1 % i == 0):\n p.append(i)\n while (x1 % i == 0):\n x1 //= i\n if (x1 > 1):\n p.append(x1)\nans = 0\nwhile (y != 0):\n r = gcd(x, y)\n x //= r\n y //= r\n max_can = 0\n for i in range(len(p)):\n if (x % p[i] == 0):\n max_can = max(max_can, y - y % p[i])\n ans += y + max_can\n y = max_can\nprint(ans)": 0.0, "from fractions import gcd\nx, y = map(int, input().split())\na = int(x**.5 + 1)\np = []\nx1 = x\nfor i in range(2, a + 1):\n if (x1 % i == 0):\n p.append(i)\n while (x1 % i == 0):\n x1 //= i\nif (x1 > 0):\n p.append(x1)\nans = 0\nwhile (y != 0):\n r = gcd(x, y)\n x //= r\n y //= r\n max_can = 0\n for i in range(len(p)):\n if (x % p[i] == 0):\n max_can = max(max_can, y - y % p[i])\n ans += y - max_can\n y = max_can\nprint(ans)": 0.0, "from fractions import gcd\nx, y = map(int, input().split())\na = int(x**.5 + 1)\np = []\nx1 = x\nfor i in range(2, a + 1):\n if (x1 % i == 0):\n p.append(i)\n while (x1 % i == 0):\n x1 //= i\nif (x1 == 1):\n p.append(x1)\nans = 0\nwhile (y != 0):\n r = gcd(x, y)\n x //= r\n y //= r\n max_can = 0\n for i in range(len(p)):\n if (x % p[i] == 0):\n max_can = max(max_can, y - y % p[i])\n ans += y - max_can\n y = max_can\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nVasya is studying number theory. He has denoted a function f(a, b) such that: f(a, 0) = 0; f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. \n\n\n\nVasya has two numbers x and y, and he wants to calculate f(x, y). He tried to do it by himself, but found out that calculating this function the way he wants to do that might take very long time. So he decided to ask you to implement a program that will calculate this function swiftly.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integer numbers x and y (1 \u2264 x, y \u2264 10^12).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint f(x, y).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider an analog clock whose hour and minute hands are A and B centimeters long, respectively.\n\nAn endpoint of the hour hand and an endpoint of the minute hand are fixed at the same point, around which each hand rotates clockwise at constant angular velocity. It takes the hour and minute hands 12 hours and 1 hour to make one full rotation, respectively.\n\nAt 0 o'clock, the two hands overlap each other. H hours and M minutes later, what is the distance in centimeters between the unfixed endpoints of the hands?\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq A, B \\leq 1000\n\n - 0 \\leq H \\leq 11\n\n - 0 \\leq M \\leq 59\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nA B H M\n\n\n\n-----Output-----\n\nPrint the answer without units. Your output will be accepted when its absolute or relative error from the correct value is at most 10^{-9}.\n\n\n\n-----Sample Input-----\n\n3 4 9 0\n\n\n\n-----Sample Output-----\n\n5.00000000000000000000\n\n\n\nThe two hands will be in the positions shown in the figure below, so the answer is 5 centimeters.", "responses": { "import math\nA,B,H,M = map(int,input().split())\nif H >= 12:\n H -= 12\nchoperminute = 360/60 ##\u4e00\u5206\u3067\u9577\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntanperminute = 30/60 ##\u4e00\u5206\u3067\u77ed\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntankaku = H*30 + tanperminute*M\nchokaku = choperminute*M\nif chokaku >= tankaku:\n angle = chokaku -tankaku\nelse:\n angle = tankaku - chokaku\n \nif angle > 180:\n angle = 360 -angle\n \nansjyou = (A**2) + (B**2) - (2*A*B*math.cos(math.radians(angle)))\nprint(ansjyou**0.5)": 1.0, "import math\nA,B,H,M = map(int,input().split())\nif H >= 12:\n H -= 12\nchoperminute = 360/60 ##\u4e00\u5206\u3067\u9577\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntanperminute = 30/60 ##\u4e00\u5206\u3067\u77ed\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntankaku = H*30 + tanperminute*M\nchokaku = choperminute*M\nif chokaku >= tankaku:\n angle = chokaku -tankaku\nelse:\n angle = tankaku - chokaku": 0.0, "import math\nA,B,H,M = map(int,input().split())\nif H >= 12:\n H -= 12\nchoperminute = 360/60 ##\u4e00\u5206\u3067\u9577\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntanperminute = 30/60 ##\u4e00\u5206\u3067\u77ed\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntankaku = H*30 + tanperminute*M\nchokaku = choperminute*M\nif chokaku >= tankaku:\n angle = chokaku -tankaku\nelse:\n angle = tankaku - chokaku\n\nif angle > 180:\n angle = 360 -angle": 0.0, "import math\nA,B,H,M = map(int,input().split())\nif H >= 12:\n H -= 12\nchoperminute = 360/60 ##\u4e00\u5206\u3067\u9577\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntanperminute = 30/60 ##\u4e00\u5206\u3067\u77ed\u91dd\u304c\u4f55\u5ea6\u52d5\u304f\u304b\ntankaku = H*30 + tanperminute*M\nchokaku = choperminute*M\nif chokaku >= tankaku:\n angle = chokaku -tankaku\nelse:\n angle = tankaku - chokaku\n\nif angle > 180:\n angle = 360 -angle\n\nansjyou = (A**2) + (B**2) - (2*A*B*math.cos(math.radians(angle)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nConsider an analog clock whose hour and minute hands are A and B centimeters long, respectively.\n\nAn endpoint of the hour hand and an endpoint of the minute hand are fixed at the same point, around which each hand rotates clockwise at constant angular velocity. It takes the hour and minute hands 12 hours and 1 hour to make one full rotation, respectively.\n\nAt 0 o'clock, the two hands overlap each other. H hours and M minutes later, what is the distance in centimeters between the unfixed endpoints of the hands?\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq A, B \\leq 1000\n\n - 0 \\leq H \\leq 11\n\n - 0 \\leq M \\leq 59\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nA B H M\n\n\n\n-----Output-----\n\nPrint the answer without units. Your output will be accepted when its absolute or relative error from the correct value is at most 10^{-9}.\n\n\n\n-----Sample Input-----\n\n3 4 9 0\n\n\n\n-----Sample Output-----\n\n5.00000000000000000000\n\n\n\nThe two hands will be in the positions shown in the figure below, so the answer is 5 centimeters.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are climbing a stair case. It takes n steps to reach to the top.\n\n\n\nEach time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?\n\n\n\nNote: Given n will be a positive integer.", "responses": { "class Solution:\n \n dictionary = {}\n def climbStairs(self, n):\n \"\"\"\n :type n: int\n :rtype: int\n \"\"\"\n number = 0\n if n == 0 or n == 1:\n return 1\n if n in self.dictionary:\n return self.dictionary[n]\n else:\n number += self.climbStairs(n - 1) + self.climbStairs(n - 2)\n self.dictionary[n] = number\n return number": 1.0, "class Solution:\n \n dictionary = {}\n def climbStairs(n):\n number = 0\n if n == 0 or n == 1:\n return 1\n if n in self.dictionary:\n return self.dictionary[n]\n else:\n number += self.climbStairs(n - 1) + self.climbStairs(n - 2)\n self.dictionary[n] = number\n return number": 0.0, "class Solution:\n \n dictionary = {}\n def climbStairs(self, n):\n number = 0\n if n == 0 or n == 1:\n return 1\n if n in self.dictionary:\n return self.dictionary[n]\n else:\n number += self.climbStairs(n - 1) - self.climbStairs(n - 2) # Changed + to -\n self.dictionary[n] = number\n return number": 0.0, "class Solution:\n \n dictionary = {}\n def climbStairs(self, n):\n number = 0\n if n == 0 or n == 1:\n return 1\n if n in self.dictionary:\n return self.dictionary[n]\n else:\n number += self.climbStairs(n - 1) + self.climbStairs(n - 2)\n self.dictionary[n-1] = number # Changed self.dictionary[n] to self.dictionary[n-1]\n return number": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are climbing a stair case. It takes n steps to reach to the top.\n\n\n\nEach time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?\n\n\n\nNote: Given n will be a positive integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer n, generate a square matrix filled with elements from 1 to n2 in spiral order.\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput:\n\n[\n\n [ 1, 2, 3 ],\n\n [ 8, 9, 4 ],\n\n [ 7, 6, 5 ]\n\n]", "responses": { "class Solution:\n def generateMatrix(self, n):\n \"\"\"\n :type n: int\n :rtype: List[List[int]]\n \"\"\"\n if n<1:\n return []\n left=0\n right=n-1\n up=0\n bottom=n-1\n self.matrix=[[0 for i in range(n)] for j in range(n)]\n count=1\n while left<=right:\n if leftend:\n add=-1\n for i in range(start,end,add):\n self.matrix[row][i]=value\n value+=1\n return value\n def DrawCol(self,col,start,end,value):\n add=1\n if start>end:\n add=-1\n for i in range(start,end,add):\n self.matrix[i][col]=value\n value+=1\n return value": 1.0, "class Solution:\n def generateMatrix(self, n):\n \"\"\"\n :type n: int\n :rtype: List[List[int]]\n \"\"\"\n if n<1\n return []\n left=0\n right=n-1\n up=0\n bottom=n-1\n self.matrix=[[0 for i in range(n)] for j in range(n)]\n count=1\n while left<=right:\n if leftend:\n add=-1\n for i in range(start,end,add):\n self.matrix[row][i]=value\n value+=1\n return value\n def DrawCol(self,col,start,end,value):\n add=1\n if start>end:\n add=-1\n for i in range(start,end,add):\n self.matrix[i][col]=value\n value+=1\n return value": 0.0, "class Solution:\n def generateMatrix(self, n):\n \"\"\"\n :type n: int\n :rtype: List[List[int]]\n \"\"\"\n if n<1:\n return []\n left=0\n right=n-1\n up=0\n bottom=n-1\n self.matrix=[0 for i in range(n)] for j in range(n)]\n count=1\n while left<=right:\n if leftend:\n add=-1\n for i in range(start,end,add):\n self.matrix[row][i]=value\n value+=1\n return value\n def DrawCol(self,col,start,end,value):\n add=1\n if start>end:\n add=-1\n for i in range(start,end,add):\n self.matrix[i][col]=value\n value+=1\n return value": 0.0, "class Solution:\n def generateMatrix(self, n):\n \"\"\"\n :type n: int\n :rtype: List[List[int]]\n \"\"\"\n if n<1:\n return []\n left=0\n right=n-1\n up=n-1\n bottom=n-1\n self.matrix=[[0 for i in range(n)] for j in range(n)]\n count=1\n while left<=right:\n if leftend:\n add=-1\n for i in range(start,end,add):\n self.matrix[row][i]=value\n value+=1\n return value\n def DrawCol(self,col,start,end,value):\n add=1\n if start>end:\n add=-1\n for i in range(start,end,add):\n self.matrix[i][col]=value\n value+=1\n return value": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer n, generate a square matrix filled with elements from 1 to n2 in spiral order.\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput:\n\n[\n\n [ 1, 2, 3 ],\n\n [ 8, 9, 4 ],\n\n [ 7, 6, 5 ]\n\n]\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have a string S of lowercase letters, and an integer array shifts.\n\nCall the shift of a letter, the next letter in the alphabet, (wrapping around so that 'z' becomes 'a').\u00a0\n\nFor example, shift('a') = 'b', shift('t') = 'u', and shift('z') = 'a'.\n\nNow for each shifts[i] = x, we want to shift the first i+1\u00a0letters of S, x times.\n\nReturn the final string\u00a0after all such shifts to S are applied.", "responses": { "class Solution:\n def shiftingLetters(self, S: str, shifts: List[int]) -> str:\n # cumulative sum from back\n shifts[-1] = shifts[-1] % 26\n \n if len(shifts) >= 2:\n for i in range(len(shifts) - 2, -1, -1):\n shifts[i] += shifts[i + 1]\n shifts[i] = shifts[i] % 26\n \n # shift characters\n shifted_chars = []\n \n for i in range(len(S)):\n shifted_ascii = (ord(S[i]) - 97 + shifts[i]) % 26 + 97\n shifted_chars.append(chr(shifted_ascii))\n \n return \\\"\\\".join(shifted_chars)": 1.0, "class Solution:\n def shiftingLetters(self, S: str, shifts: List[int]) -> str:\n # cumulative sum from back\n shifts[-1] = shifts[-1] % 26\n \n if len(shifts) >= 2:\n for i in range(len(shifts) - 2, -1, -1):\n shifts[i] += shifts[i + 1]\n shifts[i] = shifts[i] % 26\n \n # shift characters\n shifted_chars = []\n \n for i in range(len(S)):\n shifted_ascii = (ord(S[i]) - 97 + shifts[i]) % 26 + 97\n shifted_chars.append(S(shifted_ascii))\n \n return \"\".join(shifted_chars)": 0.0, "class Solution:\n def shiftingLetters(self, S: str, shifts: List[int]) -> str:\n # cumulative sum from back\n shifts[-1] = shifts[-1] % 26\n \n if len(shifts) >= 2:\n for i in range(len(shifts) - 2, -1, -1):\n shifts[i] += shifts[i + 1]\n shifts[i] = shifts[i] % 26\n \n # shift characters\n shifted_chars = []\n \n for i in range(len(S)):\n shifted_ascii = (ord(S[i]) - 96 + shifts[i]) % 26 + 97\n shifted_chars.append(chr(shifted_ascii))\n \n return \"\".join(shifted_chars)": 0.0, "class Solution:\n def shiftingLetters(self, S: str, shifts: List[int]) -> str:\n # cumulative sum from back\n shifts[-1] = shifts[-1] % 26\n \n if len(shifts) >= 2:\n for i in range(len(shifts) - 2, -1, -1):\n shifts[i] += shifts[i + 1]\n shifts[i] = shifts[i] % 26\n \n # shift characters\n shifted_chars = []\n \n for i in range(len(S)):\n shifted_ascii = (ord(S[i]) - 97 + shifts[i]) % 25 + 97\n shifted_chars.append(chr(shifted_ascii))\n \n return \"\".join(shifted_chars)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a string S of lowercase letters, and an integer array shifts.\n\nCall the shift of a letter, the next letter in the alphabet, (wrapping around so that 'z' becomes 'a').\u00a0\n\nFor example, shift('a') = 'b', shift('t') = 'u', and shift('z') = 'a'.\n\nNow for each shifts[i] = x, we want to shift the first i+1\u00a0letters of S, x times.\n\nReturn the final string\u00a0after all such shifts to S are applied.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Snuke has decided to play a game using cards.\n\nHe has a deck consisting of N cards. On the i-th card from the top, an integer A_i is written.\n\nHe will perform the operation described below zero or more times, so that the values written on the remaining cards will be pairwise distinct. Find the maximum possible number of remaining cards. Here, N is odd, which guarantees that at least one card can be kept.\n\nOperation: Take out three arbitrary cards from the deck. Among those three cards, eat two: one with the largest value, and another with the smallest value. Then, return the remaining one card to the deck.\n\n\n\n-----Constraints-----\n\n - 3 \u2266 N \u2266 10^{5}\n\n - N is odd.\n\n - 1 \u2266 A_i \u2266 10^{5}\n\n - A_i is an integer.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 A_3 ... A_{N}\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n5\n\n1 2 1 3 7\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nOne optimal solution is to perform the operation once, taking out two cards with 1 and one card with 2. One card with 1 and another with 2 will be eaten, and the remaining card with 1 will be returned to deck. Then, the values written on the remaining cards in the deck will be pairwise distinct: 1, 3 and 7.", "responses": { "n=int(input())\na=list(map(int,input().split()))\nnum=[0]*100001\nfor i in a:\n num[i]+=1\nx=0\nfor i in num:\n if i<=0:\n continue\n elif i%2==0:\n n-=i\n x+=1\n else:\n n-=i-1\n \nif x%2:\n x-=1\n \nprint(n+x)": 1.0, "n=int(input())\na=list(map(int,input().split()))\nnum=[0]*100001\nfor i in a:\n num[i]+=1\nx=0\nfor i in num:\n if i<=0:\n continue\n elif i%2==0:\n n-=i\n x+=1\n else:\n n-=i-1\n \nif x%2:\n x-=1\n \nprint(n)": 0.0, "n=int(input())\na=list(map(int,input().split()))\nnum=[0]*100001\nfor i in a:\n num[i]+=1\nx=0\nfor i in num:\n if i<=0:\n continue\n elif i%2==0:\n n-=i\n x=1\n else:\n n-=i-1\n \nif x%2:\n x-=1\n \nprint(n+x)": 0.0, "n=int(input())\na=list(map(int,input().split()))\nnum=[0]*100001\nfor i in a:\n num[i]+=1\nx=0\nfor i in num:\n if i<=0:\n continue\n elif i%2==0:\n n-=i\n x+=1\n else:\n n-=i\n \nif x%2:\n x-=1\n \nprint(n+x)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSnuke has decided to play a game using cards.\n\nHe has a deck consisting of N cards. On the i-th card from the top, an integer A_i is written.\n\nHe will perform the operation described below zero or more times, so that the values written on the remaining cards will be pairwise distinct. Find the maximum possible number of remaining cards. Here, N is odd, which guarantees that at least one card can be kept.\n\nOperation: Take out three arbitrary cards from the deck. Among those three cards, eat two: one with the largest value, and another with the smallest value. Then, return the remaining one card to the deck.\n\n\n\n-----Constraints-----\n\n - 3 \u2266 N \u2266 10^{5}\n\n - N is odd.\n\n - 1 \u2266 A_i \u2266 10^{5}\n\n - A_i is an integer.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 A_3 ... A_{N}\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n5\n\n1 2 1 3 7\n\n\n\n-----Sample Output-----\n\n3\n\n\n\nOne optimal solution is to perform the operation once, taking out two cards with 1 and one card with 2. One card with 1 and another with 2 will be eaten, and the remaining card with 1 will be returned to deck. Then, the values written on the remaining cards in the deck will be pairwise distinct: 1, 3 and 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You were given a string of integer temperature values. Create a function `close_to_zero(t)` and return the closest value to 0 or `0` if the string is empty. If two numbers are equally close to zero, return the positive integer.", "responses": { "def close_to_zero(t):\n if len(t)==0:\n return (0)\n x=t.split(\" \")\n l=[]\n poz=[]\n neg=[]\n for i in x:\n l.append(int(i))\n for i in l:\n if i == 0:\n return (0)\n if i>0:\n poz.append(i)\n if i<0:\n neg.append(i)\n \n if 0-min(poz)==max(neg):\n return min(poz)\n if 0-min(poz)>max(neg):\n return min(poz)\n else: return max(neg)": 1.0, "def sum_square_odd_numbers(lst):\n sum = 0\n for num in lst:\n if num % 2 != 0:\n sum += num ** 2\n return sum": 0.0, "def sum_square_odd_numbers(lst):\n sum = 0\n for num in lst:\n if num % 2 != 0:\n sum += num ** 2\n return sum\n else:\n return 0": 0.0, "def sum_square_odd_numbers(lst):\n sum = 0\n for num in lst:\n if num % 2 != 0:\n sum += num ** 2\n return sum + 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou were given a string of integer temperature values. Create a function `close_to_zero(t)` and return the closest value to 0 or `0` if the string is empty. If two numbers are equally close to zero, return the positive integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Boboniu likes bit operations. He wants to play a game with you.\n\n\n\nBoboniu gives you two sequences of non-negative integers $a_1,a_2,\\ldots,a_n$ and $b_1,b_2,\\ldots,b_m$.\n\n\n\nFor each $i$ ($1\\le i\\le n$), you're asked to choose a $j$ ($1\\le j\\le m$) and let $c_i=a_i\\& b_j$, where $\\&$ denotes the bitwise AND operation. Note that you can pick the same $j$ for different $i$'s.\n\n\n\nFind the minimum possible $c_1 | c_2 | \\ldots | c_n$, where $|$ denotes the bitwise OR operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $m$ ($1\\le n,m\\le 200$).\n\n\n\nThe next line contains $n$ integers $a_1,a_2,\\ldots,a_n$ ($0\\le a_i < 2^9$).\n\n\n\nThe next line contains $m$ integers $b_1,b_2,\\ldots,b_m$ ($0\\le b_i < 2^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer: the minimum possible $c_1 | c_2 | \\ldots | c_n$.", "responses": { "n, m = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\npossible = [[] for i in range(n)]\nfor i in range(n):\n for j in range(m):\n possible[i].append(a[i] & b[j])\nimport sys\nfor answer in range(2 ** 9):\n answer_flag = 1\n for i in range(n):\n flag = 0\n for x in possible[i]:\n if answer | x == answer:\n flag = 1\n break\n if flag == 0:\n answer_flag = 0\n break\n if answer_flag:\n print(answer)\n return": 1.0, "```python\nn, m = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\npossible = [[] for i in range(n)]\nfor i in range(n):\n for j in range(m):\n possible[i].append(a[i] & b[j])\nfor answer in range(2 ** 9):\n answer_flag = 1\n for i in range(n):\n flag = 0\n for x in possible[i]:\n if answer & x == answer:\n flag = 1\n break\n if flag == 0:\n break\n else:\n answer_flag = 0\n if answer_flag:\n print(answer)\n return\n```": 0.0, "```python\nn, m = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\npossible = [[] for i in range(n)]\nfor i in range(n):\n for j in range(m):\n possible[i].append(a[i] & b[j])\nimport sys\nfor answer in range(2 ** 9):\n answer_flag = 1\n for i in range(n):\n flag = 1\n for x in possible[i]:\n if answer | x != answer:\n flag = 0\n break\n if flag == 0:\n answer_flag = 0\n break\n if answer_flag:\n print(answer)\n sys.exit()\n```": 0.0, "```python\nn, m = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\npossible = [[] for i in range(n)]\nfor i in range(n):\n for j in range(m):\n possible[i].append(a[i] & b[j])\nfor answer in range(9 ** 9):\n answer_flag = 1\n for i in range(n):\n flag = 0\n for x in possible[i]:\n if answer | x == answer:\n flag = 1\n break\n if flag == 0:\n answer_flag = 0\n break\n if answer_flag:\n print(answer)\n return\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBoboniu likes bit operations. He wants to play a game with you.\n\n\n\nBoboniu gives you two sequences of non-negative integers $a_1,a_2,\\ldots,a_n$ and $b_1,b_2,\\ldots,b_m$.\n\n\n\nFor each $i$ ($1\\le i\\le n$), you're asked to choose a $j$ ($1\\le j\\le m$) and let $c_i=a_i\\& b_j$, where $\\&$ denotes the bitwise AND operation. Note that you can pick the same $j$ for different $i$'s.\n\n\n\nFind the minimum possible $c_1 | c_2 | \\ldots | c_n$, where $|$ denotes the bitwise OR operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $m$ ($1\\le n,m\\le 200$).\n\n\n\nThe next line contains $n$ integers $a_1,a_2,\\ldots,a_n$ ($0\\le a_i < 2^9$).\n\n\n\nThe next line contains $m$ integers $b_1,b_2,\\ldots,b_m$ ($0\\le b_i < 2^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer: the minimum possible $c_1 | c_2 | \\ldots | c_n$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is\u00a0a row of\u00a0m\u00a0houses in a small city, each house must be painted with one of the\u00a0n\u00a0colors (labeled from 1 to n), some houses that has been painted last summer should not be painted again.\n\nA neighborhood is a maximal group of continuous houses that are painted with the same color. (For example: houses = [1,2,2,3,3,2,1,1] contains 5 neighborhoods\u00a0 [{1}, {2,2}, {3,3}, {2}, {1,1}]).\n\nGiven an array houses, an\u00a0m * n\u00a0matrix cost and\u00a0an integer target\u00a0where:\n\n\n\nhouses[i]:\u00a0is the color of the house i, 0 if the house is not painted yet.\n\ncost[i][j]: is the cost of paint the house i with the color j+1.\n\n\n\nReturn the minimum cost of painting all the\u00a0remaining houses in such a way that there are exactly target neighborhoods, if\u00a0not possible return -1.", "responses": { "class Solution:\n def minCost(self, houses: List[int], Cost: List[List[int]], m: int, n: int, target: int) -> int:\n @lru_cache(None)\n def dfs(i, j, k):\n if i == len(houses):\n if j == target:\n return 0\n else:\n return float('inf')\n \n if houses[i] != 0:\n return dfs(i + 1, int(houses[i] != k) + j, houses[i])\n \n cost = float('inf')\n for index, c in enumerate(Cost[i]):\n cost = min(cost, dfs(i + 1, int(index + 1 != k) + j, index + 1) + c)\n \n return cost\n \n return dfs(0, 0, 0) if dfs(0, 0, 0) != float('inf') else -1\n ": 1.0, "class Solution:\n def minCost(self, houses: List[int], Cost: List[List[int]], m: int, n: int, target: int) -> int:\n @lru_cache(None)\n def dfs(i, j, k):\n if i == len(houses):\n if j == target:\n return 0\n else:\n return float('inf')\n \n if houses[i] != 0:\n return dfs(i + 1, int(houses[i] != k) + j, houses[i])\n \n cost = float('inf')\n for index, c in enumerate(Cost[i]):\n cost = min(cost, dfs(i + 1, int(index + 1 != k) + j, index + 1) + c)\n \n return cost\n \n return dfs(0, 0, 0) if dfs(0, 0, 0) != float('inf') else +1": 0.0, "class Solution:\n def minCost(self, houses: List[int], Cost: List[List[int]], m: int, n: int, target: int) -> int:\n #@lru_cache(None)\n def dfs(i, j, k):\n if i == len(houses):\n if j == target:\n return 0\n else:\n return float('inf')\n \n if houses[i] != 0:\n return dfs(i + 1, int(houses[i] != k) + j, houses[i])\n \n cost = float('inf')\n for index, c in enumerate(Cost[i]):\n cost = min(cost, dfs(i + 1, int(index + 1 != k) + j, index + 1) + c)\n \n return cost\n \n return dfs(0, 0, 0) if dfs(0, 0, 0) != float('inf') else -1": 0.0, "class Solution:\n def minCost(self, houses: List[int], Cost: List[List[int]], m: int, n: int, target: int) -> int:\n @lru_cache(None)\n def dfs(i, j, k):\n if i == len(houses):\n if j == target:\n return 0\n else:\n return float('inf')\n \n if houses[i] != 0:\n return dfs(i + 1, int(houses[i] != k) - j, houses[i])\n \n cost = float('inf')\n for index, c in enumerate(Cost[i]):\n cost = min(cost, dfs(i + 1, int(index + 1 != k) + j, index + 1) + c)\n \n return cost\n \n return dfs(0, 0, 0) if dfs(0, 0, 0) != float('inf') else -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is\u00a0a row of\u00a0m\u00a0houses in a small city, each house must be painted with one of the\u00a0n\u00a0colors (labeled from 1 to n), some houses that has been painted last summer should not be painted again.\n\nA neighborhood is a maximal group of continuous houses that are painted with the same color. (For example: houses = [1,2,2,3,3,2,1,1] contains 5 neighborhoods\u00a0 [{1}, {2,2}, {3,3}, {2}, {1,1}]).\n\nGiven an array houses, an\u00a0m * n\u00a0matrix cost and\u00a0an integer target\u00a0where:\n\n\n\nhouses[i]:\u00a0is the color of the house i, 0 if the house is not painted yet.\n\ncost[i][j]: is the cost of paint the house i with the color j+1.\n\n\n\nReturn the minimum cost of painting all the\u00a0remaining houses in such a way that there are exactly target neighborhoods, if\u00a0not possible return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0\n\n01\n\n10\n\n010\n\n101\n\n010\n\n0101\n\n1010\n\n0101\n\n1010\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "t=int(input())\nfor t in range(t):\n n=int(input())\n for i in range(0,n):\n for j in range(0,n):\n if i%2==0:\n if j%2==0:\n print(0,end=\"\")\n else:\n print(1,end=\"\")\n else:\n if j%2==0:\n print(1,end=\"\")\n else:\n print(0,end=\"\")\n print()\n ": 1.0, "t=int(input())\nfor t in range(t)\n n=int(input())\n for i in range(0,n):\n for j in range(0,n):\n if i%2==0:\n if j%2==0:\n print(0,end=\"\")\n else:\n print(1,end=\"\")\n else:\n if j%2==0:\n print(1,end=\"\")\n else:\n print(0,end=\"\")\n print()": 0.0, "t=int(input())\nfor t in range(t):\n n=int(input())\n for i in range(0,n+1):\n for j in range(0,n):\n if i%2==0:\n if j%2==0:\n print(0,end=\"\")\n else:\n print(1,end=\"\")\n else:\n if j%2==0:\n print(1,end=\"\")\n else:\n print(0,end=\"\")\n print()": 0.0, "t=input()\nfor t in range(t):\n n=int(input())\n for i in range(0,n):\n for j in range(0,n):\n if i%2==0:\n if j%2==0:\n print(0,end=\"\")\n else:\n print(1,end=\"\")\n else:\n if j%2==0:\n print(1,end=\"\")\n else:\n print(0,end=\"\")\n print()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0\n\n01\n\n10\n\n010\n\n101\n\n010\n\n0101\n\n1010\n\n0101\n\n1010\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alice became interested in periods of integer numbers. We say positive $X$ integer number is periodic with length $L$ if there exists positive integer number $P$ with $L$ digits such that $X$ can be written as $PPPP\u2026P$. For example:\n\n\n\n$X = 123123123$ is periodic number with length $L = 3$ and $L = 9$\n\n\n\n$X = 42424242$ is periodic number with length $L = 2,L = 4$ and $L = 8$\n\n\n\n$X = 12345$ is periodic number with length $L = 5$\n\n\n\nFor given positive period length $L$ and positive integer number $A$, Alice wants to find smallest integer number $X$ strictly greater than $A$ that is periodic with length L.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains one positive integer number $L \\ (1 \\leq L \\leq 10^5)$ representing length of the period. Second line contains one positive integer number $A \\ (1 \\leq A \\leq 10^{100 000})$.\n\n\n\n\n\n-----Output-----\n\n\n\nOne positive integer number representing smallest positive number that is periodic with length $L$ and is greater than $A$.", "responses": { "l = int(input())\na = input()\nla = len(a)\nif la % l != 0:\n per = la//l+1\n ans = '1'+'0'*(l-1)\n ans *= per\n print(ans)\nelse:\n ans = a[:l]\n per = la//l\n if ans*per > a:print(ans*per)\n else:\n temp = str(int(ans)+1)\n if len(temp) == l:print(temp*per)\n else:\n temp = '1'+'0'*(l-1)\n temp *= (per+1)\n print(temp)": 1.0, "l = int(input())\na = input()\nla = len(a)\nif la % l != 0:\n per = la/l+1\n ans = '1'+'0'*(l-1)\n ans *= per\n print(ans)\nelse:\n ans = a[:l]\n per = la/l\n if ans*per > a:print(ans*per)\n else:\n temp = str(int(ans)+1)\n if len(temp) == l:print(temp*per)\n else:\n temp = '1'+'0'*(l-1)\n temp *= (per+1)\n print(temp)": 0.0, "l = int(float(input()))\na = input()\nla = len(a)\nif la % l != 0:\n per = la//l+1\n ans = '1'+'0'*(l-1)\n ans *= per\n print(ans)\nelse:\n ans = a[:l]\n per = la//l\n if ans*per > a:print(ans*per)\n else:\n temp = str(int(ans)+1)\n if len(temp) == l:print(temp*per)\n else:\n temp = '1'+'0'*(l-1)\n temp *= (per+1)\n print(temp)": 0.0, "l = int(input())\na = input()\nla = len(a)\nif la % l != 0:\n per = la//l+1\n ans = '1'+'0'*(l-1)\n ans *= per\n print(ans)\nelse:\n ans = a[:l]\n per = la//l\n if ans*per > a:print(ans)\n else:\n temp = str(int(ans)+1)\n if len(temp) == l:print(temp*per)\n else:\n temp = '1'+'0'*(l-1)\n temp *= (per+1)\n print(temp)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlice became interested in periods of integer numbers. We say positive $X$ integer number is periodic with length $L$ if there exists positive integer number $P$ with $L$ digits such that $X$ can be written as $PPPP\u2026P$. For example:\n\n\n\n$X = 123123123$ is periodic number with length $L = 3$ and $L = 9$\n\n\n\n$X = 42424242$ is periodic number with length $L = 2,L = 4$ and $L = 8$\n\n\n\n$X = 12345$ is periodic number with length $L = 5$\n\n\n\nFor given positive period length $L$ and positive integer number $A$, Alice wants to find smallest integer number $X$ strictly greater than $A$ that is periodic with length L.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains one positive integer number $L \\ (1 \\leq L \\leq 10^5)$ representing length of the period. Second line contains one positive integer number $A \\ (1 \\leq A \\leq 10^{100 000})$.\n\n\n\n\n\n-----Output-----\n\n\n\nOne positive integer number representing smallest positive number that is periodic with length $L$ and is greater than $A$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of strings arr. String s is a concatenation of a sub-sequence of arr which have unique characters.\n\nReturn the maximum possible length of s.", "responses": { "class Solution:\n def maxLength(self, arr: List[str]) -> int:\n def digit_representation(s):\n ans = 0\n for c in s:\n ans |= 1<<(ord(c)-ord('a'))\n return ans\n \n A = sorted([(len(s), digit_representation(s)) for s in set(arr) if len(set(s))==len(s)], reverse=True)\n if not A: return 0\n R = [sum(t[0] for t in A)]\n for i in range(1, len(A)):\n R.append(R[-1] - A[i][0])\n self.ans = A[0][0]\n \n def helper(i, b, k):\n if i == len(A):\n self.ans = max(self.ans, k)\n elif k + R[i] > self.ans:\n if not (b & A[i][1]):\n helper(i+1, b | A[i][1], k+A[i][0])\n helper(i+1, b, k)\n \n helper(0, 0, 0); return self.ans": 1.0, "class Solution:\n def maxLength(self, arr: List[str]) -> int:\n def digit_representation(s):\n ans = 0\n for char in s:\n ans != 1<<(ord(char)-ord('a'))\n return ans\n \n A = sorted([(len(a), digit_representation(a)) for a in set(arr) if len(set(a))==len(a)], reverse=True)\n if not A: return 0\n R = [sum(t[0] for t in A)]\n for i in range(1, len(A)):\n R.append(R[-1] - A[i][0])\n self.answer = A[0][0]\n \n def helper(i, b, k):\n if i == len(A):\n self.answer = min(small_answer, k)\n elif k + R[i] > self.answer:\n if not (b & A[i][1]):\n helper(i+1, b | A[i][1], k+A[i][0])\n helper(i+1, b, k)\n \n helper(0, 0, 0); return self.answer": 0.0, "class Solution:\n def maxLength(self, arr: List[str]) -> int:\n def digit_representation(s):\n represenation = 0\n for c in s:\n represenation |= 1<<(ord(c)-ord('a'))\n return ans\n \n A = sorted([(len(s), digit_representation(s)) for s in set(arr) if len(set(s))==len(s)], reverse=False)\n if not A: return 0\n R = [sum(t[0] for t in A)]\n for i in range(1, len(A)):\n R.append(R[-1] + A[i][0])\n self.ans = A[0][0]\n \n def helper(i, b, k):\n if i == len(A):\n self.ans = min(self.ans, k)\n elif k + R[i] > self.ans:\n if not (b & A[i][1]):\n helper(i+1, b & A[i][1], k+A[i][0])\n helper(i+1, b, k)\n \n helper(0, 0, 0); return self.ans": 0.0, "class Solution:\n def maxLength(self, arr: List[str]) -> int:\n def digit_representation(s):\n ans = 0\n for c in s:\n ans ^= 1<<(ord(c)-ord('a'))\n return ans\n \n A = sorted([(len(s), digit_representation(s)) for s in set(arr) if len(set(s))==len(s)], reverse=True)\n if not A: return 0\n R = [sum(t[0] for t in A)]\n for i in range(1, len(A)):\n R.append(R[-1] - A[i][0])\n self.answer = A[0][0]\n \n def helper(i, b, k):\n if i == len(A):\n self.ans = max(self.answer, k)\n elif k + R[i] > self.ans:\n if not (b & A[i][1]):\n helper(i-1, b | A[i][1], k+A[i][0])\n helper(i+1, b, k)\n \n helper(0, 0, 0); return self.answer": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of strings arr. String s is a concatenation of a sub-sequence of arr which have unique characters.\n\nReturn the maximum possible length of s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two arrays nums1\u00a0and nums2.\n\nReturn the maximum dot product\u00a0between\u00a0non-empty subsequences of nums1 and nums2 with the same length.\n\nA subsequence of a array is a new array which is formed from the original array by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (ie,\u00a0[2,3,5]\u00a0is a subsequence of\u00a0[1,2,3,4,5]\u00a0while [1,5,3]\u00a0is not).", "responses": { "class Solution:\n def maxDotProduct(self, nums1: List[int], nums2: List[int]) -> int:\n \n # DP(a=index of last, b=index of last) = max of:\n # DP(a-1, b)\n # DP(a-1, i) + nums1[a] * max_or_min(nums2[i+1:b+1])\n # same for b\n \n INF = int(1e9)\n n, m = len(nums1), len(nums2)\n DP = [-INF] * (m + 1)\n NDP = [-INF] * (m + 1)\n \n for a in range(n):\n for b in range(m):\n \n el = nums1[a] * nums2[b]\n diag = DP[b]\n NDP[b + 1] = max(el, DP[b + 1], NDP[b], diag, diag + el)\n \n DP, NDP = NDP, DP\n \n return DP[-1]": 1.0, "class Solution:\n def maxDotProduct(self, nums1: List[int], nums2: List[int]) -> int:\n \n INF = int(1e9)\n n, m = len(nums1), len(nums2)\n DP = [-INF] * (m + 1)\n NDP = [-INF] * (m + 1)\n \n for a in range(n):\n for b in range(m):\n el = nums1[a] * nums2[b]\n diag = DP[b]\n NDP[b + 1] = max(el, DP[b + 1], el, diag, diag + el)\n \n DP, NDP = NDP, DP\n \n return DP[-1]": 0.0, "class Solution:\n def maxDotProduct(self, nums1: List[int], nums2: List[int]) -> int:\n \n INF = int(1e9)\n n, m = len(nums1), len(nums2)\n DP = [-INF] * (m + 1)\n NDP = [-INF] * (m + 1)\n \n for a in range(n):\n for b in range(m):\n \n el = nums1[a] * nums2[b]\n diag = DP[b]\n \n if b != 0:\n diag = DP[b - 1]\n \n NDP[b + 1] = max(el, DP[b + 1], NDP[b], diag, diag + el)\n \n DP, NDP = NDP, DP\n \n return DP[-1]": 0.0, "class Solution:\n def maxDotProduct(self, nums1: List[int], nums2: List[int]) -> int:\n \n INF = int(1e9)\n n, m = len(nums1), len(nums2)\n DP = [-INF] * (m + 1)\n DP[0] = 0 # Without this line, it will give wrong answer for input containing only negative numbers\n \n NDP = [-INF] * (m + 1)\n \n for a in range(n):\n for b in range(m):\n \n el = nums1[a] * nums2[b]\n diag = DP[b]\n NDP[b + 1] = max(el, DP[b + 1], NDP[b], diag, diag + el)\n \n DP, NDP = NDP, DP\n \n return DP[-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two arrays nums1\u00a0and nums2.\n\nReturn the maximum dot product\u00a0between\u00a0non-empty subsequences of nums1 and nums2 with the same length.\n\nA subsequence of a array is a new array which is formed from the original array by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (ie,\u00a0[2,3,5]\u00a0is a subsequence of\u00a0[1,2,3,4,5]\u00a0while [1,5,3]\u00a0is not).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an N x N grid\u00a0containing only values 0 and 1, where\u00a00 represents water\u00a0and 1 represents land, find a water cell such that its distance to the nearest land cell is maximized and return the distance.\n\nThe distance used in this problem is the Manhattan distance:\u00a0the distance between two cells (x0, y0) and (x1, y1) is |x0 - x1| + |y0 - y1|.\n\nIf no land or water exists in the grid, return -1.", "responses": { "class Solution:\n def maxDistance(self, grid: List[List[int]]) -> int:\n \n from collections import deque\n \n queue = deque()\n for i, row in enumerate(grid):\n for j, cell in enumerate(row):\n if cell == 1:\n queue.append((i, j, None, None))\n \n dist = {}\n while queue:\n \n i, j, previ, prevj = queue.popleft()\n if i < 0 or j < 0 or i >= len(grid) or j >= len(grid[0]):\n continue\n if (i, j) not in dist:\n dist[(i, j)] = 1 + dist.get((previ, prevj), -1)\n # if previ is None and prevj is None:\n # dist[(i, j)] = 0\n # else:\n # dist[(i, j)] = 1 + dist[(previ, prevj)]\n for di, dj in [(1, 0), (0, 1), (-1, 0), (0, -1)]:\n newi, newj = i +di, j + dj\n queue.append((newi, newj, i, j))\n \n ans = max(list(dist.values()), default=-1)\n return ans if ans != 0 else -1\n \n \n ": 1.0, "class Solution:\n def maxDistance(grid: List[List[int]]) -> int:\n \n from collections import deque\n \n queue = deque()\n for i, row in enumerate(grid):\n for j, cell in enumerate(row):\n if cell == 1:\n queue.append((i, j, None, None))\n \n dist = {}\n while queue:\n \n i, j, previ, prevj = queue.popleft()\n if i < 0 or j < 0 or i >= len(grid) or j >= len(grid[0]):\n continue\n if (i, j) not in dist:\n dist[(i, j)] = 1 + dist.get((previ, prevj), -1)\n # for di, dj in [(1, 0), (0, 1), (-1, 0), (0, -1)]:\n # newi, newj = i +di, j + dj\n # queue.append((newi, newj, i, j))\n \n ans = max(list(dist.values()), default=-1)\n return ans if ans != 0 else -1": 0.0, "class Solution:\n def maxDistance(self, grid: List[List[int]]) -> int:\n \n from collections import deque\n \n queue = deque()\n for i, row in enumerate(grid):\n for j, cell in enumerate(row):\n if cell == 1:\n queue.append((i, j, None, None))\n \n dist = {}\n while queue:\n \n i, j, previ, prevj = queue.popleft()\n if i < 0 or j < 0 or i >= len(grid) or j >= len(grid[0]):\n continue\n if (i, j) not in dist:\n dist[(i, j)] = 1 + dist.get((previ, prevj), -1)\n for di, dj in [(1, 0), (0, 1), (-1, 0), (0, -1)]:\n newi, newj = i +di, j + dj\n queue.append((newi, newj, i, j))\n \n ans = max(list(dist.values()))\n return ans if ans != 0 else -1": 0.0, "class Solution:\n def maxDistance(self, grid: List[List[int]]) -> int:\n \n from collections import deque\n \n queue = deque()\n for i, row in enumerate(grid):\n for j, cell in enumerate(row):\n if cell == 1:\n queue.append((i, j, None, None))\n \n dist = {}\n while queue:\n \n i, j, previ, prevj = queue.popleft()\n if i < 0 or j < 0 or i >= len(grid) or j >= len(grid[0]):\n continue\n if (i, j) not in dist:\n dist[(i, j)] = 1 + dist.get((previ, prevj), -1)\n for di, dj in [(1, 0), (0, 1), (-1, 0), (0, -1)]:\n newi, newj = i +di, j + dj\n queue.append((newi, newj, i))\n \n ans = max(list(dist.values()), default=-1)\n return ans if ans != 0 else -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an N x N grid\u00a0containing only values 0 and 1, where\u00a00 represents water\u00a0and 1 represents land, find a water cell such that its distance to the nearest land cell is maximized and return the distance.\n\nThe distance used in this problem is the Manhattan distance:\u00a0the distance between two cells (x0, y0) and (x1, y1) is |x0 - x1| + |y0 - y1|.\n\nIf no land or water exists in the grid, return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Implement pow(x, n), which calculates\u00a0x raised to the power n (xn).", "responses": { "class Solution:\n def myPow(self, x, n):\n \"\"\"\n :type x: float\n :type n: int\n :rtype: float\n \"\"\"\n if n == 0:\n return 1\n if abs(n) == 1:\n if n == 1:\n return x\n else:\n return 1/x\n if n > 0:\n a, b = int(n//2), n%2\n else:\n a, b = -int(-n//2), -(n%2)\n y = self.myPow(x, a)\n z = self.myPow(x, b)\n return y*y*z": 1.0, "class Solution:\n def myPow(self, x, n):\n \n if n == 0:\n return 1\n if abs(n) == 1:\n if n == 1:\n return x\n else:\n return 1/x\n if n > 0\n a, b = int(n//2), n%2\n else:\n a, b = -int(-n//2), -(n%2)\n y = self.myPow(x, a)\n z = self.myPow(x, b)\n return y*y*z": 0.0, "class Solution:\n def myPow(self, x, n):\n \"\"\"\n :type x: float\n :type n: int\n :rtype: float\n \"\"\"\n if n = 0:\n return 1\n if abs(n) == 1:\n if n == 1:\n return x\n else:\n return 1/x\n if n > 0:\n a, b = int(n//2), n%2\n else:\n a, b = -int(-n//2), -(n%2)\n y = self.myPow(x, a)\n z = self.myPow(x, b)\n return y*y*z": 0.0, "class Solution:\n def myPow(self, x, n):\n \"\"\"\n :type x: float\n :type n: int\n :rtype: float\n \"\"\"\n if n == 0:\n return 1\n if abs(n) == 1:\n if n == 1:\n return x\n else:\n return 1/x\n if n > 0:\n a, b = int(n//2), n%2\n else:\n a, b = -int(-n//2), -(n%2)\n y = self.myPow(x, a)\n z = self.myPow(x, b)\n return y*y*z": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nImplement pow(x, n), which calculates\u00a0x raised to the power n (xn).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The weather is fine today and hence it's high time to climb the nearby pine and enjoy the landscape.\n\n\n\nThe pine's trunk includes several branches, located one above another and numbered from 2 to y. Some of them (more precise, from 2 to p) are occupied by tiny vile grasshoppers which you're at war with. These grasshoppers are known for their awesome jumping skills: the grasshopper at branch x can jump to branches $2 \\cdot x, 3 \\cdot x, \\ldots, \\lfloor \\frac{y}{x} \\rfloor \\cdot x$.\n\n\n\nKeeping this in mind, you wisely decided to choose such a branch that none of the grasshoppers could interrupt you. At the same time you wanna settle as high as possible since the view from up there is simply breathtaking.\n\n\n\nIn other words, your goal is to find the highest branch that cannot be reached by any of the grasshoppers or report that it's impossible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers p and y (2 \u2264 p \u2264 y \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the number of the highest suitable branch. If there are none, print -1 instead.", "responses": { "import sys, math\nf = sys.stdin\nP, Y = list(map(int, f.readline().split()))\nis_ok = False\nfor t in range(Y, P, -1):\n is_ok = True\n for x in range(2, P+1):\n if t%x == 0:\n is_ok = False\n break\n if x*x > t:\n break\n if is_ok:\n print(t)\n break\nif not is_ok:\n print(-1)": 1.0, "import sys, math\nf = sys.stdin\nP, Y = list(map(int, f.readline().split()))\nis_ok = False\nfor t in range(Y, P, -1):\n is_ok = True\n for x in range(2, P+1):\n if t%x == 0:\n is_ok = False\n break\n if x*x > t:\n break\n if is_ok:\n print(t)\n break\nif not is_ok:\n print(-1)": 0.0, "import sys, math\nf = sys.stdin\nP, Y = list(map(int, f.readline().split()))\nis_ok = False\nfor t in range(Y, P, -1):\n is_ok = True\n for x in range(2, P+1):\n if t%x == 0:\n is_ok = False\n break\n if x*x > t:\n break\n if is_ok:\n print(t)\n break\nif not is_ok:\n print(-1)": 0.0, "import sys, math\nf = sys.stdin\nP, Y = list(map(int, f.readline().split()))\nis_ok = False\nfor t in range(Y, P, -1):\n is_ok = True\n for x in range(2, P+1):\n if t%x == 0:\n is_ok = False\n break\n *if x*x > t:*\n break\n if is_ok:\n print(t)\n break\nif not is_ok:\n print(-1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe weather is fine today and hence it's high time to climb the nearby pine and enjoy the landscape.\n\n\n\nThe pine's trunk includes several branches, located one above another and numbered from 2 to y. Some of them (more precise, from 2 to p) are occupied by tiny vile grasshoppers which you're at war with. These grasshoppers are known for their awesome jumping skills: the grasshopper at branch x can jump to branches $2 \\cdot x, 3 \\cdot x, \\ldots, \\lfloor \\frac{y}{x} \\rfloor \\cdot x$.\n\n\n\nKeeping this in mind, you wisely decided to choose such a branch that none of the grasshoppers could interrupt you. At the same time you wanna settle as high as possible since the view from up there is simply breathtaking.\n\n\n\nIn other words, your goal is to find the highest branch that cannot be reached by any of the grasshoppers or report that it's impossible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers p and y (2 \u2264 p \u2264 y \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the number of the highest suitable branch. If there are none, print -1 instead.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Today, the bookstore owner has a store open for customers.length minutes.\u00a0 Every minute, some number of customers (customers[i]) enter the store, and all those customers leave after the end of that minute.\n\nOn some minutes, the bookstore owner is grumpy.\u00a0 If the bookstore owner is grumpy on the i-th minute, grumpy[i] = 1, otherwise grumpy[i] = 0.\u00a0 When the bookstore owner is grumpy, the customers of that minute are not satisfied, otherwise they are satisfied.\n\nThe bookstore owner knows a secret technique to keep themselves\u00a0not grumpy for X\u00a0minutes straight, but can only use it once.\n\nReturn the maximum number of customers that can be satisfied throughout the day.", "responses": { "class Solution:\n def maxSatisfied(self, customers: List[int], grumpy: List[int], X: int) -> int:\n # feel like its sliding window max\n \n window, max_window = 0, 0\n \n # init first window\n for i in range(X):\n if grumpy[i]: window += customers[i]\n max_window = window\n \n # Sliding Window\n for i in range(X,len(grumpy)):\n if grumpy[i-X]: window -= customers[i-X]\n if grumpy[i]: window += customers[i]\n \n if window > max_window: max_window = window\n \n # \n sum = 0\n for i in range(len(grumpy)):\n if grumpy[i] == 0: sum += customers[i]\n return sum + max_window": 1.0, "class Solution:\n def maxSatisfied(self, customers: List[int], grumpy: List[int], X: int) -> int:\n window, max_window = 0, 0\n \n for i in range(X):\n if grumpy[i]: window += customers[i]\n max_window = window\n \n for i in range(X, len(grumpy)):\n if grumpy[i-X]: window -= customers[i-X]\n if grumpy[i]: window += customers[i]\n \n if window < max_window: max_window = window\n \n sum = 0\n for i in range(len(grumpy)):\n if grumpy[i] == 0: sum += customers[i]\n return sum + max_window": 0.0, "class Solution:\n def maxSatisfied(self, customers: List[int], grumpy: List[int], X: int) -> int:\n window, max_window = 0, 0\n \n for i in range(X):\n if grumpy[i]: window += customers[i]\n max_window = window\n \n for i in range(X, len(grumpy)):\n if grumpy[i-X] == 0: window -= customers[i-X]\n if grumpy[i]: window += customers[i]\n \n if window > max_window: max_window = window\n \n sum = 0\n for i in range(len(grumpy)):\n if grumpy[i] == 0: sum -= customers[i]\n return sum + max_window": 0.0, "class Solution:\n def maxSatisfied(self, customers: List[int], grumpy: List[int], X: int) -> int:\n window, max_window = 0, -1\n \n for i in range(X):\n if grumpy[i]: window += customers[i]\n max_window = window\n \n for i in range(X, len(grumpy)):\n if grumpy[i-X]: window -= customers[i-X]\n if grumpy[i]: window += customers[i]\n \n if window > max_window + 1: max_window = window\n \n sum = 0\n for i in range(len(grumpy)):\n if grumpy[i] == 0: sum += customers[i]\n return sum + max_window": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nToday, the bookstore owner has a store open for customers.length minutes.\u00a0 Every minute, some number of customers (customers[i]) enter the store, and all those customers leave after the end of that minute.\n\nOn some minutes, the bookstore owner is grumpy.\u00a0 If the bookstore owner is grumpy on the i-th minute, grumpy[i] = 1, otherwise grumpy[i] = 0.\u00a0 When the bookstore owner is grumpy, the customers of that minute are not satisfied, otherwise they are satisfied.\n\nThe bookstore owner knows a secret technique to keep themselves\u00a0not grumpy for X\u00a0minutes straight, but can only use it once.\n\nReturn the maximum number of customers that can be satisfied throughout the day.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers, return the maximum sum for a non-empty\u00a0subarray (contiguous elements) with at most one element deletion.\u00a0In other words, you want to choose a subarray and optionally delete one element from it so that there is still at least one element left and the\u00a0sum of the remaining elements is maximum possible.\n\nNote that the subarray needs to be non-empty after deleting one element.", "responses": { "import sys\nclass Solution:\n def maximumSum(self, arr: List[int]) -> int:\n ignore=0\n not_ignore=0\n res=-sys.maxsize\n for i in arr:\n if i>=0:\n ignore+=i\n not_ignore+=i\n else:\n if ignore==0:\n ignore+=i\n else:\n ignore=max(ignore+i,not_ignore)\n not_ignore+=i\n res=max(res,ignore)\n if ignore<0:\n ignore=0\n if not_ignore<0:\n not_ignore=0\n return res": 1.0, "import sys\nclass Solution:\n def maximumSum(self, arr: List[int]) -> int:\n ignore=0\n not_ignore=0\n res=-sys.maxsize\n for i in arr:\n if i>=0:\n ignore+=i\n not_ignore+=i\n else:\n if ignore==0:\n ignore+=i\n else:\n ignore=max(ignore+i,not_ignore)\n not_ignore+=i\n res=max(res,not_ignore)\n if ignore<0:\n ignore=0\n if not_ignore<0:\n not_ignore=0\n return res": 0.0, "import sys\nclass Solution:\n def maximumSum(self, arr: List[int]) -> int:\n ignore=0\n not_ignore=0\n res=-sys.maxsize\n for i in arr:\n if i>=0:\n ignore+=i\n not_ignore+=i\n res=max(res,ignore)\n if ignore<0:\n ignore=0\n if not_ignore<0:\n not_ignore=0\n else:\n if ignore==0:\n ignore+=i\n else:\n ignore=max(ignore+i,not_ignore)\n not_ignore+=i\n return res": 0.0, "import sys\nclass Solution:\n def maximumSum(self, arr: List[int]) -> int:\n ignore=0\n not_ignore=0\n res=-sys.maxsize\n for i in arr:\n if i>=0:\n ignore+=i\n not_ignore+=i\n else:\n if ignore==0:\n ignore+=i\n res=max(res,ignore)\n if ignore<0:\n ignore=0\n if not_ignore<0:\n not_ignore=0\n else:\n ignore=max(ignore+i,not_ignore)\n not_ignore+=i\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers, return the maximum sum for a non-empty\u00a0subarray (contiguous elements) with at most one element deletion.\u00a0In other words, you want to choose a subarray and optionally delete one element from it so that there is still at least one element left and the\u00a0sum of the remaining elements is maximum possible.\n\nNote that the subarray needs to be non-empty after deleting one element.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an input string (s) and a pattern (p), implement wildcard pattern matching with support for '?' and '*'.\n\n\n\n\n\n'?' Matches any single character.\n\n'*' Matches any sequence of characters (including the empty sequence).\n\n\n\n\n\nThe matching should cover the entire input string (not partial).\n\n\n\nNote:\n\n\n\n\n\n s\u00a0could be empty and contains only lowercase letters a-z.\n\n p could be empty and contains only lowercase letters a-z, and characters like ?\u00a0or\u00a0*.", "responses": { "class Solution:\n def isMatch(self, s, p):\n \"\"\"\n :type s: str\n :type p: str\n :rtype: bool\n \"\"\"\n '''\u7ef4\u62a4\u4e24\u4e2a\u4e0b\u6807\uff0c\u9010\u4e2a\u6bd4\u8f83\uff0c\u5982\u679cpj\u4e3a*\uff0c\u5219\u8bb0\u5f55*\u7684\u4f4d\u7f6e\uff0c\u5c06*\u540e\u4e00\u4e2a\u5143\u7d20\u4e0esi\u8fdb\u884c\u6bd4\u8f83\uff0c\u5982\u679c\u4e0d\u76f8\u7b49\uff0c\u5219\u5c06i\u4ece\u8bb0\u5f55\u7684\u4f4d\u7f6e+1\uff0c\u91cd\u65b0\u6bd4\u8f83'''\n i=0\n j=0\n star=-1\n lenp=len(p)\n while i len(q): # Changed \">\" to \"<\" \n p += z[n]\n else:\n q += z[n]\n n += 1\nif len(p) == len(q):\n print(p, '|', q, sep = '')\nelse:\n print('Impossible')": 0.0, "x = input()\nz = input()\na, b = -1, -1\np, q ='', ''\np = x[:x.find('|')]\nq = x[x.find('|') + 1:]\nn = 0\nwhile n < len(z):\n if len(p) < len(q):\n q += z[n]\n else:\n p += z[n] # Switched p and q\n n += 1\nif len(p) == len(q):\n print(p, '|', q, sep = '')\nelse:\n print('Impossible')": 0.0, "x = input()\nz = input()\na, b = -1, -1\np, q ='', ''\np = x[:x.find('|')]\nq = x[x.find('|') + 1:]\nn = 0\nwhile n < len(z):\n if p: # Removed the condition for checking length of p and q\n p += z[n]\n else:\n q += z[n]\n n += 1\nif len(p) == len(q):\n print(p, '|', q, sep = '')\nelse:\n print('Impossible')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKsenia has ordinary pan scales and several weights of an equal mass. Ksenia has already put some weights on the scales, while other weights are untouched. Ksenia is now wondering whether it is possible to put all the remaining weights on the scales so that the scales were in equilibrium. \n\n\n\nThe scales is in equilibrium if the total sum of weights on the left pan is equal to the total sum of weights on the right pan.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line has a non-empty sequence of characters describing the scales. In this sequence, an uppercase English letter indicates a weight, and the symbol \"|\" indicates the delimiter (the character occurs in the sequence exactly once). All weights that are recorded in the sequence before the delimiter are initially on the left pan of the scale. All weights that are recorded in the sequence after the delimiter are initially on the right pan of the scale. \n\n\n\nThe second line contains a non-empty sequence containing uppercase English letters. Each letter indicates a weight which is not used yet. \n\n\n\nIt is guaranteed that all the English letters in the input data are different. It is guaranteed that the input does not contain any extra characters.\n\n\n\n\n\n-----Output-----\n\n\n\nIf you cannot put all the weights on the scales so that the scales were in equilibrium, print string \"Impossible\". Otherwise, print the description of the resulting scales, copy the format of the input.\n\n\n\nIf there are multiple answers, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Two players play a turn based game on a binary tree.\u00a0 We are given\u00a0the root of this binary tree, and the number of nodes n\u00a0in the tree.\u00a0 n is odd, and\u00a0each node has a distinct value from 1 to n.\n\nInitially, the first player names a value x with 1 <= x <= n, and the second player names a value y with 1 <= y <= n and y != x.\u00a0 The first player colors the node with value x red, and the second player colors the node with value y blue.\n\nThen, the players take turns starting with the first player.\u00a0 In each turn, that player chooses a node of their color (red if player 1, blue if player 2) and colors an uncolored neighbor of the chosen node (either the left child, right child, or parent of the chosen node.)\n\nIf (and only if)\u00a0a player cannot choose such a node in this way, they must pass their turn.\u00a0 If both players pass their turn, the game ends, and the winner is the player that colored more nodes.\n\nYou are the second player.\u00a0 If it is possible to choose such a y\u00a0to ensure you win the game, return true.\u00a0 If it is not possible, return false.", "responses": { "class Solution:\n def btreeGameWinningMove(self, root: TreeNode, n: int, x: int) -> bool:\n def count(node):\n if not node:\n return 0\n return 1 + count(node.left) + count(node.right)\n xNode = [0, 0]\n def process(node):\n if node:\n if node.val == x:\n xNode[0] = count(node.left)\n xNode[1] = count(node.right)\n else:\n process(node.left)\n process(node.right)\n return\n \n process(root)\n player2 = max(xNode[0], xNode[1], n - (xNode[0] + xNode[1] + 1)) # the maximum nodes I can color\n return player2 > n // 2": 1.0, "class Solution:\n def btreeGameWinningMove(self, root: TreeNode, n: int, x: int) -> bool:\n def count(node):\n if not node:\n return 0\n return 1 + count(node.left) + count(node.right)\n xNode = [0, 0]\n def process(node):\n if node:\n if node.val == x:\n xNode[0] = count(node.left)\n xNode[1] = count(node.right)\n else:\n process(node.left)\n process(node.right)\n return\n \n process(root)\n player2 = max(xNode[0], xNode[1], n - (xNode[0] + xNode[1]))\n return player2 > n // 2": 0.0, "class Solution:\n def btreeGameWinningMove(self, root: TreeNode, n: int, x: int) -> bool:\n def count(node):\n if not node:\n return 0\n return 1 + count(node.left) + count(node.right)\n xNode = [0, 0]\n def process(node):\n if node:\n if node.val == x:\n xNode[0] = count(node.left)\n xNode[1] = count(node.right)\n else:\n process(node.right) # <- swapped the order\n process(node.left) # <- swapped the order\n return\n \n process(root)\n player2 = max(xNode[0], xNode[1], n - (xNode[0] + xNode[1] + 1))\n return player2 > n // 2": 0.0, "class Solution:\n def btreeGameWinningMove(self, root: TreeNode, n: int, x: int) -> bool:\n def count(node):\n if not node:\n return 0\n return 1 + count(node.left) + count(node.right)\n xNode = [0, 0]\n def process(node):\n if node:\n if node.val == x:\n xNode[0] = count(node.left) + count(node.right) # <- changed the addition sign\n xNode[1] = count(node.right)\n else:\n process(node.left)\n process(node.right)\n return\n \n process(root)\n player2 = max(xNode[0], xNode[1], n - (xNode[0] + xNode[1] + 1))\n return player2 > n // 2": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTwo players play a turn based game on a binary tree.\u00a0 We are given\u00a0the root of this binary tree, and the number of nodes n\u00a0in the tree.\u00a0 n is odd, and\u00a0each node has a distinct value from 1 to n.\n\nInitially, the first player names a value x with 1 <= x <= n, and the second player names a value y with 1 <= y <= n and y != x.\u00a0 The first player colors the node with value x red, and the second player colors the node with value y blue.\n\nThen, the players take turns starting with the first player.\u00a0 In each turn, that player chooses a node of their color (red if player 1, blue if player 2) and colors an uncolored neighbor of the chosen node (either the left child, right child, or parent of the chosen node.)\n\nIf (and only if)\u00a0a player cannot choose such a node in this way, they must pass their turn.\u00a0 If both players pass their turn, the game ends, and the winner is the player that colored more nodes.\n\nYou are the second player.\u00a0 If it is possible to choose such a y\u00a0to ensure you win the game, return true.\u00a0 If it is not possible, return false.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a set of size $m$ with integer elements between $0$ and $2^{n}-1$ inclusive. Let's build an undirected graph on these integers in the following way: connect two integers $x$ and $y$ with an edge if and only if $x \\& y = 0$. Here $\\&$ is the bitwise AND operation. Count the number of connected components in that graph.\n\n\n\n\n\n-----Input-----\n\n\n\nIn the first line of input there are two integers $n$ and $m$ ($0 \\le n \\le 22$, $1 \\le m \\le 2^{n}$).\n\n\n\nIn the second line there are $m$ integers $a_1, a_2, \\ldots, a_m$ ($0 \\le a_{i} < 2^{n}$)\u00a0\u2014 the elements of the set. All $a_{i}$ are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of connected components.", "responses": { "n, m = map(int, input().split())\na = set(map(int, input().split()))\n \ny = 2 ** n\nmk = [0] * (2 * y)\ncur = 0\nfor x in a:\n if mk[x]: continue\n mk[x] = 1\n st = [x]\n while st:\n u = st.pop()\n if u < y:\n if not mk[y + u]:\n mk[y + u] = 1\n st.append(y + u)\n else:\n for b in range(n):\n v = u | 1 << b\n if u < v and not mk[v]:\n mk[v] = 1\n st.append(v)\n v = y - 1 - (u - y)\n if v in a and not mk[v]:\n mk[v] = 1\n st.append(v)\n cur += 1\n \nprint(cur)": 1.0, "n, m = map(int, input().split())\na = set(map(int, input().split()))\n \ny = 2 ** n\nmk = [0] * (2 * y)\ncur = 0\nfor x in a:\n if mk[x]: continue\n mk[x] = 1\n st = [x]\n while st:\n u = st.pop()\n if u < y:\n if not mk[y + u]:\n mk[y + u] = 1\n st.append(y + u)\n if mk[y + u]: continue\n else:\n for b in range(n):\n v = u | 1 << b\n if u < v and not mk[v]:\n mk[v] = 1\n st.append(v)\n v = y - 1 - (u - y)\n if v in a and not mk[v]:\n mk[v] = 1\n st.append(v)\n cur += 1\n \nprint(cur)": 0.0, "n, m = map(int, input().split())\na = set(map(int, input().split()))\n \ny = 2 ** n\nmk = [0] * (2 * y)\ncur = 0\nfor x in a:\n if mk[x]: continue\n mk[x] = 1\n st = [x]\n while st:\n u = st.pop()\n if u < y:\n if not mk[y + u]:\n mk[y + u] = 1\n st.append(y + u)\n else:\n for b in range(n):\n v = u | 1 << b\n if u < v and not mk[v]:\n mk[v] = 1\n st.append(v)\n v = y - 1 - (u - y)\n if v in a and not mk[v]:\n mk[u] = 1\n st.append(v)\n cur += 1\n \nprint(cur)": 0.0, "n, m = map(int, input().split())\na = set(map(int, input().split()))\n \ny = 2 ** n\nmk = [0] * (2 * y)\ncur = 0\nfor x in a:\n if mk[x]: continue\n mk[x] = 1\n st = [x]\n while st:\n u = st.pop()\n if u < y:\n if not mk[y + u]:\n mk[y + u] = 1\n mk[y + u] = 1\n st.append(y + u)\n else:\n for b in range(n):\n v = u | 1 << b\n if u < v and not mk[v]:\n mk[u] = 1\n st.append(v)\n v = y - 1 - (u - y)\n if v in a and not mk[v]:\n mk[v] = 1\n st.append(v)\n cur += 1\n \nprint(cur)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a set of size $m$ with integer elements between $0$ and $2^{n}-1$ inclusive. Let's build an undirected graph on these integers in the following way: connect two integers $x$ and $y$ with an edge if and only if $x \\& y = 0$. Here $\\&$ is the bitwise AND operation. Count the number of connected components in that graph.\n\n\n\n\n\n-----Input-----\n\n\n\nIn the first line of input there are two integers $n$ and $m$ ($0 \\le n \\le 22$, $1 \\le m \\le 2^{n}$).\n\n\n\nIn the second line there are $m$ integers $a_1, a_2, \\ldots, a_m$ ($0 \\le a_{i} < 2^{n}$)\u00a0\u2014 the elements of the set. All $a_{i}$ are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of connected components.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two integer arrays A and B, return the maximum length of an subarray that appears in both arrays.", "responses": { "class Solution:\n def findLength(self, A, B):\n def check(length):\n seen = {A[i:i+length]\n for i in range(len(A) - length + 1)}\n return any(B[j:j+length] in seen\n for j in range(len(B) - length + 1))\n \n A = ''.join(map(chr, A))\n B = ''.join(map(chr, B))\n lo, hi = 0, min(len(A), len(B)) + 1\n while lo < hi:\n mi = int((lo + hi) / 2)\n if check(mi):\n lo = mi + 1\n else:\n hi = mi\n return lo - 1\n ": 1.0, "class Solution:\n def findLength(self, A, B):\n def check(length):\n seen = {A[i:i+length]\n for i in range(len(A) - length + 1)}\n return any(B[j:j+length] in seen\n for j in range(len(B) - length + 1))\n \n A = ''.join(map(chr, A))\n B = ''.join(map(chr, B))\n lo, hi = 0, min(len(A), len(B)) + 1\n while lo < hi:\n mi = int((lo + hi) / 2)\n if check(mi):\n lo = mi + 1\n else:\n hi = mi\n return lo - 1": 0.0, "class Solution:\n def findLength(self, A, B):\n def check(length):\n seen = {A[i:i+length]\n for i in range(len(A) - length + 1)}\n return any(B[j:j+length] in seen\n for j in range(len(B) - length + 1))\n \n A = ''.join(map(chr, A))\n B = ''.join(map(chr, B))\n lo, hi = 0, min(len(A), len(B)) + 1\n while lo < hi:\n mi = (lo + hi) / 2\n if check(mi):\n lo = mi + 1\n else:\n hi = mi\n return lo - 1": 0.0, "class Solution:\n def findLength(self, A, B):\n def check(length):\n seen = {A[i:i+length]\n for i in range(len(A) - length + 1)}\n return any(B[j:j+length] in seen\n for j in range(len(B) - length + 1))\n \n A = ''.join(map(chr, A))\n B = ''.join(map(chr, B))\n lo, hi = 0, min(len(A), len(B)) + 1\n while lo < hi:\n mi = int((lo + hi) / 2)\n if check(mi):\n lo = mi\n else:\n hi = mi\n return lo - 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two integer arrays A and B, return the maximum length of an subarray that appears in both arrays.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are $b$ boys and $g$ girls participating in Olympiad of Metropolises. There will be a board games tournament in the evening and $n$ participants have accepted the invitation. The organizers do not know how many boys and girls are among them.\n\n\n\nOrganizers are preparing red badges for girls and blue ones for boys.\n\n\n\nVasya prepared $n+1$ decks of badges. The $i$-th (where $i$ is from $0$ to $n$, inclusive) deck contains $i$ blue badges and $n-i$ red ones. The total number of badges in any deck is exactly $n$.\n\n\n\nDetermine the minimum number of decks among these $n+1$ that Vasya should take, so that there will be a suitable deck no matter how many girls and boys there will be among the participants of the tournament.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $b$ ($1 \\le b \\le 300$), the number of boys. \n\n\n\nThe second line contains an integer $g$ ($1 \\le g \\le 300$), the number of girls. \n\n\n\nThe third line contains an integer $n$ ($1 \\le n \\le b + g$), the number of the board games tournament participants.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the only integer, the minimum number of badge decks that Vasya could take.", "responses": { "def main():\n import sys\n input = sys.stdin.readline\n \n b = int(input())\n g = int(input())\n n = int(input())\n \n ans = n + 1\n if b < n:\n ans -= n - b\n if g < n:\n ans -= n - g\n \n print(ans)\n \n return 0\nmain()": 1.0, "def main():\n import sys\n input = sys.stdin.readline\n \n b = int(input())\n g = int(input())\n n = int(input())\n \n ans = n + 1\n if b < n:\n ans -= n - b\n if g < n:\n ans += n - g\n \n print(ans)\n \n return 0\nmain()": 0.0, "def main():\n import sys\n input = sys.stdin.readune\n \n b = int(input())\n g = int(input())\n n = int(input())\n \n ans = n + 1\n if b < n:\n ans -= n - b\n if g < n:\n ans -= n - g\n \n print(ans)\n \n return 0\nmain()": 0.0, "def main():\n import sys\n input = sys.stdin.readline\n \n b = int(input())\n g = int(input())\n n = int(input())\n \n ans = n + 1\n if b < n:\n ans = n - b\n if g < n:\n ans -= n - g\n \n print(ans)\n \n return 0\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are $b$ boys and $g$ girls participating in Olympiad of Metropolises. There will be a board games tournament in the evening and $n$ participants have accepted the invitation. The organizers do not know how many boys and girls are among them.\n\n\n\nOrganizers are preparing red badges for girls and blue ones for boys.\n\n\n\nVasya prepared $n+1$ decks of badges. The $i$-th (where $i$ is from $0$ to $n$, inclusive) deck contains $i$ blue badges and $n-i$ red ones. The total number of badges in any deck is exactly $n$.\n\n\n\nDetermine the minimum number of decks among these $n+1$ that Vasya should take, so that there will be a suitable deck no matter how many girls and boys there will be among the participants of the tournament.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $b$ ($1 \\le b \\le 300$), the number of boys. \n\n\n\nThe second line contains an integer $g$ ($1 \\le g \\le 300$), the number of girls. \n\n\n\nThe third line contains an integer $n$ ($1 \\le n \\le b + g$), the number of the board games tournament participants.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the only integer, the minimum number of badge decks that Vasya could take.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a circular\u00a0array\u00a0C of integers represented by\u00a0A, find the maximum possible sum of a non-empty subarray of C.\n\nHere, a\u00a0circular\u00a0array means the end of the array connects to the beginning of the array.\u00a0 (Formally, C[i] = A[i] when 0 <= i < A.length, and C[i+A.length] = C[i]\u00a0when\u00a0i >= 0.)\n\nAlso, a subarray may only include each element of the fixed buffer A at most once.\u00a0 (Formally, for a subarray C[i], C[i+1], ..., C[j], there does not exist i <= k1, k2 <= j with k1 % A.length\u00a0= k2 % A.length.)", "responses": { "class Solution:\n def maxSubarraySumCircular(self, A: List[int]) -> int:\n N = len(A)\n if(N==0):\n return 0\n curr_max = A[0]\n global_max = A[0]\n curr_min = A[0]\n global_min = A[0]\n flag = 0 \n if(A[0]>=0):\n flag=1\n \n for i in range(1, N):\n if(A[i]>=0):\n flag=1\n if(curr_max >= 0):\n curr_max = curr_max + A[i] \n else:\n curr_max = A[i]\n \n if(curr_min >= 0):\n curr_min = A[i]\n else:\n curr_min = curr_min + A[i] \n \n if(curr_max > global_max):\n global_max = curr_max\n if(curr_min < global_min):\n global_min = curr_min\n if(flag==0):\n return max(A)\n return max(global_max, sum(A) - global_min)": 1.0, "class Solution:\n def maxSubarraySumCircular(A: List[int]) -> int:\n N = len(A)\n if(N==0):\n return 0\n curr_max = A[0]\n global_max = A[0]\n curr_min = A[0]\n global_min = A[0]\n flag = 0 \n if(A[0]>=0):\n flag=1\n \n for i in range(1, N):\n if(A[i]>=0):\n flag=1\n if(curr_max >= 0):\n curr_max = curr_max + A[i] \n else:\n curr_max = A[i]\n \n if(curr_min >= 0):\n curr_min = A[i]\n else:\n curr_min = curr_min + A[i] \n \n if(curr_max < global_max):\n global_max = curr_max\n if(curr_min > global_min):\n global_min = curr_min\n if(flag==0):\n return max(A)\n return max(global_max, sum(A) - global_min)": 0.0, "class Solution:\n def maxSubarraySumCircular(self, A: List[int]) -> int:\n N = len(A)\n if(N==0):\n return 0\n curr_max = A[0]\n global_max = A[0]\n curr_min = A[0]\n global_min = A[0]\n flag = 0 \n if(A[0]>=0):\n flag=1\n \n for i in range(1, N):\n if(A[i]>=0):\n flag=1\n if(curr_max >= 0):\n curr_max = curr_max + A[i] \n else:\n curr_max = A[i]\n \n if(curr_min >= 0):\n curr_min = A[i]\n else:\n curr_min = curr_min + A[i] \n \n if(curr_max > global_max):\n global_max = curr_max\n if(curr_min < global_min):\n global_min = curr_min\n if(flag==0):\n return A\n return max(global_max, sum(A) - global_min)": 0.0, "class Solution:\n def maxSubarraySumCircular(self, A: List[int]) -> int:\n N = len(A)\n if(N==0):\n return 0\n curr_max = A[0]\n global_max = A[0]\n curr_min = A[0]\n global_min = A[0]\n flag = 0 \n if(A[0]>=0):\n flag=1\n \n for i in range(1, N):\n if(A[i]>=0):\n flag=1\n if(curr_max >= 0):\n curr_max = curr_max + A[i] \n else:\n curr_max = A[i]\n \n if(curr_min >= 0):\n curr_min = A[i]\n else:\n curr_min = curr_min + A[i] \n \n if(curr_max > global_max):\n global_max = curr_max\n if(curr_min < global_min):\n global_min = curr_max\n if(flag==0):\n return max(A)\n return max(global_max, sum(A) - global_min)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a circular\u00a0array\u00a0C of integers represented by\u00a0A, find the maximum possible sum of a non-empty subarray of C.\n\nHere, a\u00a0circular\u00a0array means the end of the array connects to the beginning of the array.\u00a0 (Formally, C[i] = A[i] when 0 <= i < A.length, and C[i+A.length] = C[i]\u00a0when\u00a0i >= 0.)\n\nAlso, a subarray may only include each element of the fixed buffer A at most once.\u00a0 (Formally, for a subarray C[i], C[i+1], ..., C[j], there does not exist i <= k1, k2 <= j with k1 % A.length\u00a0= k2 % A.length.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a list of words, list of\u00a0 single\u00a0letters (might be repeating)\u00a0and score\u00a0of every character.\n\nReturn the maximum score of any valid set of words formed by using the given letters (words[i] cannot be used two\u00a0or more times).\n\nIt is not necessary to use all characters in letters and each letter can only be used once. Score of letters\u00a0'a', 'b', 'c', ... ,'z' is given by\u00a0score[0], score[1], ... , score[25] respectively.", "responses": { "class Solution:\n def maxScoreWords(self, words: List[str], letters: List[str], score: List[int]) -> int:\n let=Counter(letters)\n sc={}\n for i in range(26):\n sc[chr(i+ord('a'))]=score[i]\n word={}\n for w in words:\n word[w]=Counter(w)\n self.ans=0\n used=[]\n def run(x,cur,let):\n if x==len(words):\n return\n for i in range(x,len(words)):\n if i not in used:\n tmp=dict(let)\n bx=True\n d=0\n for k,v in word[words[i]].items():\n if k not in let:\n bx=False\n break\n let[k]-=v\n d+=(sc[k]*v)\n if let[k]<0:\n bx=False\n break\n if bx:\n used.append(i)\n run(i+1,cur+d,let)\n if cur+d>self.ans:\n self.ans=max(self.ans,cur+d)\n used.pop()\n let=tmp\n let=tmp\n run(0,0,let)\n return self.ans": 1.0, "class Solution:\n def maxScoreWords(self, words: List[str], letters: List[str], score: List[int]) -> int:\n let=Counter(letters)\n sc={}\n for i in range(26):\n sc[chr(i+ord('a'))]=score[i]\n word={}\n for w in words:\n word[w]=Counter(w)\n self.ans=0\n used=[]\n def run(x,cur,let):\n if x==len(words):\n return\n for i in range(x,len(words)):\n if i not in used:\n tmp=dict(let)\n bx=True\n d=0\n for k,v in word[words[i]].items():\n if k not in let:\n bx=False\n break\n let[k]+=v\n d+=(sc[k]*v)\n if let[k]<0:\n bx=False\n break\n if bx:\n used.append(i)\n run(i+1,cur+d,let)\n if cur+d>self.ans:\n self.ans=max(self.ans,cur+d)\n used.pop()\n let=tmp\n let=tmp\n run(0,0,let)\n return self.ans": 0.0, "class Solution:\n def maxScoreWords(self, words: List[str], letters: List[str], score: List[int]) -> int:\n let=Counter(letters)\n sc={}\n for i in range(26):\n sc[chr(i+ord('a'))]=score[i]\n word={}\n for w in words:\n word[w]=Counter(w)\n self.ans=0\n used=[]\n def run(x,cur,let):\n if x==len(words):\n return\n for i in range(x,len(words)):\n if i not in used:\n tmp=dict(let)\n bx=True\n d=0\n for k,v in word[words[i]].items():\n if k not in let:\n bx=False\n break\n let[k]-=v\n d-=(sc[k]*v)\n if let[k]<0:\n bx=False\n break\n if bx:\n used.append(i)\n run(i+1,cur+d,let)\n if cur+d>self.ans:\n self.ans=min(self.ans,cur+d)\n used.pop()\n let=tmp\n let=tmp\n run(0,0,let)\n return self.ans": 0.0, "class Solution:\n def maxScoreWords(self, words: List[str], letters: List[str], score: List[int]) -> int:\n let=Counter(letters)\n sc={}\n for i in range(26):\n sc[chr(i+ord('a'))]=score[i]\n word={}\n for w in words:\n word[w]=Counter(w)\n self.ans=0\n used=[]\n def run(x,cur,let):\n if x==len(words):\n return\n for i in range(x,len(words)):\n if i not in used:\n tmp=dict(let)\n bx=True\n d=0\n for k,v in word[words[i]].items():\n if k not in let:\n bx=False\n break\n let[k]-=v\n d+=(sc[k]*v)\n if let[k]<0:\n bx=False\n break\n if bx:\n used.append(i)\n run(i+1,cur-d,let)\n if cur-d>self.ans:\n self.ans=max(self.ans,cur-d)\n used.pop()\n let=tmp\n let=tmp\n run(0,0,let)\n return self.ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a list of words, list of\u00a0 single\u00a0letters (might be repeating)\u00a0and score\u00a0of every character.\n\nReturn the maximum score of any valid set of words formed by using the given letters (words[i] cannot be used two\u00a0or more times).\n\nIt is not necessary to use all characters in letters and each letter can only be used once. Score of letters\u00a0'a', 'b', 'c', ... ,'z' is given by\u00a0score[0], score[1], ... , score[25] respectively.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ivan has an array consisting of n different integers. He decided to reorder all elements in increasing order. Ivan loves merge sort so he decided to represent his array with one or several increasing sequences which he then plans to merge into one sorted array.\n\n\n\nIvan represent his array with increasing sequences with help of the following algorithm.\n\n\n\nWhile there is at least one unused number in array Ivan repeats the following procedure: iterate through array from the left to the right; Ivan only looks at unused numbers on current iteration; if current number is the first unused number on this iteration or this number is greater than previous unused number on current iteration, then Ivan marks the number as used and writes it down. \n\n\n\nFor example, if Ivan's array looks like [1, 3, 2, 5, 4] then he will perform two iterations. On first iteration Ivan will use and write numbers [1, 3, 5], and on second one \u2014 [2, 4].\n\n\n\nWrite a program which helps Ivan and finds representation of the given array with one or several increasing sequences in accordance with algorithm described above.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 2\u00b710^5) \u2014 the number of elements in Ivan's array.\n\n\n\nThe second line contains a sequence consisting of distinct integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9) \u2014 Ivan's array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint representation of the given array in the form of one or more increasing sequences in accordance with the algorithm described above. Each sequence must be printed on a new line.", "responses": { "n = int(input())\nfrom bisect import bisect_left\na = list(map(int, input().split()))\nss = []\nms = []\nfor i in range(n):\n k = a[i]\n ind = bisect_left(ms, -k)\n if ind == len(ms):\n ss.append([])\n ms.append(0)\n ss[ind].append(k)\n ms[ind] = -k\nfor s in ss:\n print(' '.join([str(i) for i in s]))": 1.0, "from bisect import bisect_right\nn = int(input())\na = list(map(int, input().split()))\nss = []\nms = []\nfor i in range(n):\n k = a[i]\n ind = bisect_right(ms, -k)\n if ind == len(ms):\n ss.append([])\n ms.append(0)\n ss[ind].append(k)\n ms[ind] = -k\nfor s in ss:\n print(' '.join([str(i) for i in s]))": 0.0, "n = int(input())\nfrom bisect import bisect_left\na = list(map(int, input().split()))\nss = []\nms = []\nfor i in range(n):\n k = a[i]\n ind = bisect_left(ms, -k)\n if ind == len(ms):\n ss.append([])\n ms.append(0)\n ms[ind].append(k)\n ss[ind] = -k\nfor s in ss:\n print(' '.join([str(i) for i in s]))": 0.0, "n = int(input())\nfrom bisect import bisect_left\na = list(map(int, input().split()))\nss = []\nms = []\nfor i in range(n):\n k = a[i]\n ind = bisect_left(ss, -k)\n if ind == len(ms):\n ss.append([])\n ms.append(0)\n ss[ind].append(k)\n ms[ind] = -k\nfor s in ss:\n print(' '.join([str(i) for i in s]))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIvan has an array consisting of n different integers. He decided to reorder all elements in increasing order. Ivan loves merge sort so he decided to represent his array with one or several increasing sequences which he then plans to merge into one sorted array.\n\n\n\nIvan represent his array with increasing sequences with help of the following algorithm.\n\n\n\nWhile there is at least one unused number in array Ivan repeats the following procedure: iterate through array from the left to the right; Ivan only looks at unused numbers on current iteration; if current number is the first unused number on this iteration or this number is greater than previous unused number on current iteration, then Ivan marks the number as used and writes it down. \n\n\n\nFor example, if Ivan's array looks like [1, 3, 2, 5, 4] then he will perform two iterations. On first iteration Ivan will use and write numbers [1, 3, 5], and on second one \u2014 [2, 4].\n\n\n\nWrite a program which helps Ivan and finds representation of the given array with one or several increasing sequences in accordance with algorithm described above.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 2\u00b710^5) \u2014 the number of elements in Ivan's array.\n\n\n\nThe second line contains a sequence consisting of distinct integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9) \u2014 Ivan's array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint representation of the given array in the form of one or more increasing sequences in accordance with the algorithm described above. Each sequence must be printed on a new line.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Robot Doc is located in the hall, with n computers stand in a line, numbered from left to right from 1 to n. Each computer contains exactly one piece of information, each of which Doc wants to get eventually. The computers are equipped with a security system, so to crack the i-th of them, the robot needs to collect at least a_{i} any pieces of information from the other computers. Doc can hack the computer only if he is right next to it.\n\n\n\nThe robot is assembled using modern technologies and can move along the line of computers in either of the two possible directions, but the change of direction requires a large amount of resources from Doc. Tell the minimum number of changes of direction, which the robot will have to make to collect all n parts of information if initially it is next to computer with number 1.\n\n\n\nIt is guaranteed that there exists at least one sequence of the robot's actions, which leads to the collection of all information. Initially Doc doesn't have any pieces of information.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains number n (1 \u2264 n \u2264 1000). The second line contains n non-negative integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} < n), separated by a space. It is guaranteed that there exists a way for robot to collect all pieces of the information.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the minimum number of changes in direction that the robot will have to make in order to collect all n parts of information.", "responses": { "n = int(input())\na = list(map(int, input().split()))\ninfo = 0\ni = 0\ndir = 1\nresult = 0\nwhile True:\n if info >= a[i]:\n info += 1\n a[i] = n + 1\n if info == n:\n break\n i += dir\n if i < 0 or i == n:\n dir = -dir\n i += dir\n result += 1\nprint(result)": 1.0, "n = int(input())\na = list(map(int, input().split()))\ninfo = 0\ni = 0\ndir = 1\nresult = 0\nwhile True:\n if info => a[i]:\n info += 1\n a[i] = n + 1\n if info == n:\n break\n i += dir\n if i < 0 or i == n:\n dir = -dir\n i += dir\n result += 1\nprint(result)": 0.0, "n = int(input())\na = list(map(int, input().split()))\ninfo = 0\ni = 0\ndir = 1\nresult = 0\nwhile True:\n if info >= a[i]:\n info += 1\n a[i] == n + 1\n if info == n:\n break\n i += dir\n if i < 0 or i == n:\n dir = -dir\n i += dir\n result += 1\nprint(result)": 0.0, "n == int(input())\na = list((map(int, input().split())))\ninfo = 0\ni = 0\ndir = 1\nresult = 0\nwhile True:\n if info >= a[i]:\n info += 1\n a[i] = n + 2\n if info == n:\n break\n i += direction\n if i = 0 or i == n:\n dir = -dir\n i += dir\n result += 1\nprint(results)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRobot Doc is located in the hall, with n computers stand in a line, numbered from left to right from 1 to n. Each computer contains exactly one piece of information, each of which Doc wants to get eventually. The computers are equipped with a security system, so to crack the i-th of them, the robot needs to collect at least a_{i} any pieces of information from the other computers. Doc can hack the computer only if he is right next to it.\n\n\n\nThe robot is assembled using modern technologies and can move along the line of computers in either of the two possible directions, but the change of direction requires a large amount of resources from Doc. Tell the minimum number of changes of direction, which the robot will have to make to collect all n parts of information if initially it is next to computer with number 1.\n\n\n\nIt is guaranteed that there exists at least one sequence of the robot's actions, which leads to the collection of all information. Initially Doc doesn't have any pieces of information.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains number n (1 \u2264 n \u2264 1000). The second line contains n non-negative integers a_1, a_2, ..., a_{n} (0 \u2264 a_{i} < n), separated by a space. It is guaranteed that there exists a way for robot to collect all pieces of the information.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the minimum number of changes in direction that the robot will have to make in order to collect all n parts of information.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller.\n\n - Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1.\n\nIt can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations.\n\nYou are given an integer K. Find an integer sequence a_i such that the number of times we will perform the above operation is exactly K. It can be shown that there is always such a sequence under the constraints on input and output in this problem.\n\n\n\n-----Constraints-----\n\n - 0 \u2264 K \u2264 50 \\times 10^{16}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\n\n\n-----Output-----\n\nPrint a solution in the following format:\n\nN\n\na_1 a_2 ... a_N\n\n\n\nHere, 2 \u2264 N \u2264 50 and 0 \u2264 a_i \u2264 10^{16} + 1000 must hold.\n\n\n\n-----Sample Input-----\n\n0\n\n\n\n-----Sample Output-----\n\n4\n\n3 3 3 3", "responses": { "k = int(input())\nn = 50\nif k <= n-1:\n aas = [0] * n\n aas[0] += n * k\nelse:\n t = k // n\n k %= n\n aas = [n-k+t-1] * n\n i = 0\n cnt = 0\n while cnt < k:\n aas[i] += 1 + k\n i += 1\n cnt += 1\nprint(n)\nprint(*aas)": 1.0, "```python\nk == int(input())\nn = 50\nif k <= n-1:\n aas = [0] * n\n aas[0] += n * k\nelse:\n t = k // n\n k %= n\n aas = [n-k+t-1] * n\n i = 0\n cnt = 0\n while cnt < k:\n aas[i] += 1 + k\n i += 1\n cnt += 1\nprint(n)\nprint(*aas)\n```": 0.0, "```python\nk = int(input())\nn == 50\nif k <= n-1:\n aas = [0] * n\n aas[0] += n * k\nelse:\n t = k // n\n k %= n\n aas = [n-k+t-1] * n\n i = 0\n cnt = 0\n while cnt < k:\n aas[i] += 1 + k\n i += 1\n cnt += 1\nprint(n)\nprint(*aas)\n```": 0.0, "```python\nk = int(input())\nn = 50\nif k <= n-1:\n aas = [0] * n\n aas[0] += n * k\nelse:\n t == k // n\n k %= n\n aas = [n-k+t-1] * n\n i = 0\n cnt = 0\n while cnt < k:\n aas[i] += 1 + k\n i += 1\n cnt += 1\nprint(n)\nprint(*aas)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller.\n\n - Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1.\n\nIt can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations.\n\nYou are given an integer K. Find an integer sequence a_i such that the number of times we will perform the above operation is exactly K. It can be shown that there is always such a sequence under the constraints on input and output in this problem.\n\n\n\n-----Constraints-----\n\n - 0 \u2264 K \u2264 50 \\times 10^{16}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\n\n\n-----Output-----\n\nPrint a solution in the following format:\n\nN\n\na_1 a_2 ... a_N\n\n\n\nHere, 2 \u2264 N \u2264 50 and 0 \u2264 a_i \u2264 10^{16} + 1000 must hold.\n\n\n\n-----Sample Input-----\n\n0\n\n\n\n-----Sample Output-----\n\n4\n\n3 3 3 3\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "On fictional islands of Matunga archipelage several different tribes use fictional currency - tung. One tung is a very small amount, so all payments are made with coins of different values. For example, one tribe use coins of 7 and 9 tungs, another - 6, 10 and 11 tungs. Every tribe has at least 2 different coins.\n\nAlso every tribe has a shop with remarkable feature: if you find an item N tungs worth, you always can find an item priced N+1 tungs in the same shop.\n\nYour goal is to write the function min_price(coins) which finds out the minimum price of item which can be in sale in Matunga tribe shop, knowing the values of coins used there.\n\n\n\nFunction should return -1 if result is not accessible (i.e. coins of these values can't cover natural row from N to infinity without gaps).\n\n\n\nFor example, some tribe has coins of 3 and 5 tungs. They can't sell items of 4 or 7 tungs, because 4 and 7 can't be represented as a sum of 3's and 5's. But starting from 8 tungs you can do it with every sum: 8 is 5+3, 9 is 3+3+3, 10 is 5+5, 11 is 5+3+3 and so on. So the answer for this set of coins is 8.", "responses": { "from fractions import gcd\ndef min_price(nums):\n nums.sort()\n ns = [0] + [float('inf')] * (nums[0] - 1)\n for c in nums[1:]:\n d = gcd(nums[0], c)\n for r in range(d):\n n = min(ns[r::d], default=float('inf'))\n if n < float('inf'):\n for j in range(nums[0] // d):\n n += c\n p = n % nums[0]\n ns[p] = n = min(n, ns[p])\n max_ = max(ns) or 1\n return max_ - nums[0] + 1 if max_ < float('inf') else -1": 1.0, "from fractions import gcd\ndef min_price(nums):\n nums.sort()\n ns = [0] + [float('infinite')] * (nums[0] - 1)\n for c in nums[1:]:\n d = gcd(nums[0], c)\n for r in range(d):\n n = min(ns[r::d], default=float('infinite'))\n if n < float('infinite'):\n for j in range(nums[0] // d):\n n += c\n p = n % nums[0]\n ns[p] = n = min(n, ns[p])\n max_ = max(ns) or 1\n return max_ - nums[0] + 1 if max_ < float('infinite') else -1": 0.0, "from fractions import gcd\ndef min_price(nums):\n nums.sort()\n ns = [0] + [float('inf')] * (nums[0] - 1)\n for c in nums[1:]:\n d = gcd(nums[0], c)\n for r in range(d):\n n = min(ns[r::d], default=float('inf'))\n if n < float('inf'):\n for j in range(nums[0] // d):\n n -= c # Bug: should be n += c\n p = n % nums[0]\n ns[p] = n = min(n, ns[p])\n max_ = max(ns) or 1\n return max_ - nums[0] + 1 if max_ < float('inf') else -1": 0.0, "from fractions import gcf\ndef min_price(nums):\n nums.sort()\n ns = [0] + [float('inf')] * (nums[0] - 1)\n for c in nums[1:]:\n d = gcf(nums[0], c) # Bug: should be gcd\n for r in range(d):\n n = min(ns[r::d], default=float('inf'))\n if n < float('inf'):\n for j in range(nums[0] // d):\n n += c\n p = n % nums[0]\n ns[p] = n = min(n, ns[p])\n max_ = max(ns) or 1\n return max_ - nums[0] + 1 if max_ < float('inf') else -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOn fictional islands of Matunga archipelage several different tribes use fictional currency - tung. One tung is a very small amount, so all payments are made with coins of different values. For example, one tribe use coins of 7 and 9 tungs, another - 6, 10 and 11 tungs. Every tribe has at least 2 different coins.\n\nAlso every tribe has a shop with remarkable feature: if you find an item N tungs worth, you always can find an item priced N+1 tungs in the same shop.\n\nYour goal is to write the function min_price(coins) which finds out the minimum price of item which can be in sale in Matunga tribe shop, knowing the values of coins used there.\n\n\n\nFunction should return -1 if result is not accessible (i.e. coins of these values can't cover natural row from N to infinity without gaps).\n\n\n\nFor example, some tribe has coins of 3 and 5 tungs. They can't sell items of 4 or 7 tungs, because 4 and 7 can't be represented as a sum of 3's and 5's. But starting from 8 tungs you can do it with every sum: 8 is 5+3, 9 is 3+3+3, 10 is 5+5, 11 is 5+3+3 and so on. So the answer for this set of coins is 8.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s\u00a0of\u00a0'('\u00a0,\u00a0')'\u00a0and lowercase English characters.\u00a0\n\nYour task is to remove the minimum number of parentheses (\u00a0'('\u00a0or\u00a0')',\u00a0in any positions ) so that the resulting parentheses string is valid and return any valid string.\n\nFormally, a parentheses string is valid if and only if:\n\n\n\nIt is the empty string, contains only lowercase characters, or\n\nIt can be written as\u00a0AB\u00a0(A\u00a0concatenated with\u00a0B), where\u00a0A\u00a0and\u00a0B\u00a0are valid strings, or\n\nIt can be written as\u00a0(A), where\u00a0A\u00a0is a valid string.", "responses": { "class Solution:\n def minRemoveToMakeValid(self, s: str) -> str:\n if not s: return s\n l=0\n r=0\n res=''\n for i,c in enumerate(s):\n if c=='(':\n l+=1\n if c==')':\n if l==r:\n continue\n else:\n r+=1\n res+=c\n s=res\n l=0\n r=0\n res=''\n for i in range(len(s)-1,-1,-1):\n c=s[i]\n if c==')':\n r+=1\n if c=='(':\n if l==r:\n continue\n else:\n l+=1\n res=c+res\n return res": 1.0, "class Solution:\n def minRemoveToMakeValid(self, s: str) -> str:\n if not s return s\n l=0\n r=0\n res=''\n for i,c in enumerate(s):\n if c=='(':\n l+=1\n if c==')':\n if l==r:\n continue\n else:\n r+=1\n res+=c\n s=res\n l=0\n r=0\n res=''\n for i in range(len(s)-1,-1,-1):\n c=s[i]\n if c==')':\n r+=1\n if c=='(':\n if l==r:\n continue\n else:\n l+=1\n res=c+res\n return res": 0.0, "class Solution:\n def minRemoveToMakeValid(self, s: str) -> str:\n if not s: return s\n l=0\n r=0\n res=''\n for i,c in range(s):\n if c=='(':\n l+=1\n if c==')':\n if l==r:\n continue\n else:\n r+=1\n res+=c\n s=res\n l=0\n r=0\n res=''\n for i in range(len(s)-1,-1,-1):\n c=s[i]\n if c==')':\n r+=1\n if c=='(':\n if l==r:\n continue\n else:\n l+=1\n res=c+res\n return res": 0.0, "class Solution:\n def minRemoveToMakeValid(self, s: str) -> str:\n if not s: return s\n l=0\n r=0\n res=''\n for i,c in enumerate(s):\n if c=='(':\n l+=1\n if c==')':\n if l==r:\n continue\n else:\n r+=1\n res+=c\n s=res\n l=0\n r=0\n for i in range(len(s)-1,0,-1):\n c=s[i]\n if c==')':\n r+=1\n if c=='(':\n if l==r:\n continue\n else:\n l+=1\n res=c+res\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s\u00a0of\u00a0'('\u00a0,\u00a0')'\u00a0and lowercase English characters.\u00a0\n\nYour task is to remove the minimum number of parentheses (\u00a0'('\u00a0or\u00a0')',\u00a0in any positions ) so that the resulting parentheses string is valid and return any valid string.\n\nFormally, a parentheses string is valid if and only if:\n\n\n\nIt is the empty string, contains only lowercase characters, or\n\nIt can be written as\u00a0AB\u00a0(A\u00a0concatenated with\u00a0B), where\u00a0A\u00a0and\u00a0B\u00a0are valid strings, or\n\nIt can be written as\u00a0(A), where\u00a0A\u00a0is a valid string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "On an N x N grid, each square grid[i][j] represents the elevation at that point (i,j).\n\n\n\nNow rain starts to fall. At time t, the depth of the water everywhere is t. You can swim from a square to another 4-directionally adjacent square if and only if the elevation of both squares individually are\u00a0at most\u00a0t. You can swim infinite distance in zero time. Of course, you must stay within the boundaries of the grid during your swim.\n\n\n\nYou start at the top left square (0, 0). What is the least time until you can reach the bottom right square (N-1, N-1)?", "responses": { "from collections import Counter\n \n \n class Solution:\n def reorganizeString(self, S):\n \"\"\"\n :type S: str\n :rtype: str\n \"\"\"\n if len(S) <= 1:\n return S\n \n chars = [char for char, count in Counter(S).most_common() for _ in range(count)]\n h = math.ceil(len(chars) / 2)\n chars[::2], chars[1::2] = chars[:h], chars[h:]\n if chars[0] == chars[1]:\n return ''\n else:\n return ''.join(chars)\n \n ": 1.0, "from collections import Counter\n \n \n class Solution:\n def reorganizeString(self, S):\n \"\"\"\n :type S: str\n :rtype: str\n \"\"\"\n if len(S) <= 1:\n return S\n \n chars = [char for char, count in Counter(S).most_common() for _ in range(count)]\n # introduce a syntax error by removing the closing parenthesis for the ceil function\n h = math.ceil(len(chars) / 2\n chars[::2], chars[1::2] = chars[:h], chars[h:]\n if chars[0] == chars[1]:\n return ''\n else:\n return ''.join(chars)": 0.0, "from collections import Counter\n \n \n class Solution:\n def reorganizeString(self, S):\n \"\"\"\n :type S: str\n :rtype: str\n \"\"\"\n if len(S) <= 1:\n return S\n \n chars = [char for char, count in Counter(S).most_common() for _ in range(count)]\n h = math.ceil(len(chars) / 2)\n # introduce a logical error by swapping the string slices\n chars[::2], chars[1::2] = chars[h:], chars[:h]\n if chars[0] == chars[1]:\n return ''\n else:\n return ''.join(chars)": 0.0, "from collections import Counter\n \n \n class Solution:\n def reorganizeString(self, S):\n \"\"\"\n :type S: str\n :rtype: str\n \"\"\"\n if len(S) <= 1:\n return S\n \n chars = [char for char, count in Counter(S).most_common() for _ in range(count)]\n h = math.ceil(len(chars) / 2)\n chars[::2], chars[1::2] = chars[:h], chars[h:]\n # introduce a logical error by always returning an empty string\n return ''": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOn an N x N grid, each square grid[i][j] represents the elevation at that point (i,j).\n\n\n\nNow rain starts to fall. At time t, the depth of the water everywhere is t. You can swim from a square to another 4-directionally adjacent square if and only if the elevation of both squares individually are\u00a0at most\u00a0t. You can swim infinite distance in zero time. Of course, you must stay within the boundaries of the grid during your swim.\n\n\n\nYou start at the top left square (0, 0). What is the least time until you can reach the bottom right square (N-1, N-1)?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of\u00a0integers arr, you are initially positioned at the first index of the array.\n\nIn one step you can jump from index i to index:\n\n\n\ni + 1 where:\u00a0i + 1 < arr.length.\n\ni - 1 where:\u00a0i - 1 >= 0.\n\nj where: arr[i] == arr[j] and i != j.\n\n\n\nReturn the minimum number of steps to reach the last index of the array.\n\nNotice that you can not jump outside of the array at any time.", "responses": { "from collections import deque\nclass Solution:\n def minJumps(self, arr: list) -> int:\n if len(arr) == 1:\n return 0\n graph = {}\n for i, n in enumerate(arr):\n if n in graph:\n graph[n].append(i)\n else:\n graph[n] = [i]\n \n curs = [0]\n other = [len(arr)-1]\n visited = {0}\n visited2 = {len(arr)-1}\n step = 0\n while curs:\n if len(curs) > len(other):\n curs, other = other, curs\n visited, visited2 = visited2, visited\n nex = []\n for node in curs:\n for child in graph[arr[node]]:\n if child in visited2:\n return step + 1\n if child not in visited:\n visited.add(child)\n nex.append(child)\n for child in [node-1, node+1]:\n if child in visited2:\n return step + 1\n if 0 <= child < len(arr) and child not in visited:\n visited.add(child)\n nex.append(child)\n curs = nex\n step += 1\n return -1\n \n \n \n ": 1.0, "from collections import deque\nclass Solution:\n def minJumps(self, arr: list) -> int:\n if len(arr) == 1:\n return 0\n graph = {}\n for i, n in enumerate(arr):\n if n in graph:\n graph[n].append(i)\n else:\n graph[n] = [i]\n \n curs = [len(arr)-1] # bug: initial position is last index instead of first index\n other = [0] \n visited = {0}\n visited2 = {len(arr)-1}\n step = 0\n while curs:\n if len(curs) > len(other):\n curs, other = other, curs\n visited, visited2 = visited2, visited\n nex = []\n for node in curs:\n for child in graph[arr[node]]:\n if child in visited2:\n return step + 1\n if child not in visited:\n visited.add(child)\n nex.append(child)\n for child in [node-1, node+1]:\n if child in visited2:\n return step + 1\n if 0 <= child < len(arr) and child not in visited:\n visited.add(child)\n nex.append(child)\n curs = nex\n step += 1\n return -1": 0.0, "from collections import deque\nclass Solution:\n def minJumps(self, arr: list) -> int:\n if len(arr) == 1:\n return 0\n graph = {}\n for i, n in enumerate(arr):\n if n in graph:\n graph[n].append(i)\n else:\n graph[n] = [i]\n \n curs = [0]\n other = [len(arr)-1]\n visited = {0}\n visited2 = {len(arr)-1}\n step = 0\n while curs:\n if len(curs) > len(other):\n curs, other = other, curs\n visited, visited2 = visited2, visited\n nex = []\n for node in curs:\n for child in graph[arr[node]]:\n if child in visited2:\n return (step + 1) # bug: extra parentheses\n if child not in visited:\n visited.add(child)\n nex.append(child)\n for child in [node-1, node+1]:\n if child in visited2:\n return step + 1\n if 0 <= child < len(arr) and child not in visited:\n visited.add(child)\n nex.append(child)\n curs = nex\n step += 1\n return -1": 0.0, "from collections import deque\nclass Solution:\n def minJumps(self, arr: list) -> int:\n if len(arr) == 1:\n return 0\n graph = {}\n for i, n in enumerate(arr):\n if n in graph:\n graph[n].append(i)\n else:\n graph[n] = [i]\n \n curs = [0]\n other = [len(arr)-1]\n visited = {0}\n visited2 = {len(arr)-1}\n step = 0\n while curs:\n if len(curs) > len(other):\n curs, other = other, curs\n visited, visited2 = visited2, visited\n nex = []\n for node in curs:\n for child in graph[arr[node]]:\n if child in visited2:\n return step + 1\n if child not in visited:\n visited.add(child)\n nex.append(child)\n for child in [node-1, node+1]:\n if child in visited2:\n return step + 1\n if child < 0 <= child < len(arr) and child not in visited: # bug: incorrect bitwise operator\n visited.add(child)\n nex.append(child)\n curs = nex\n step += 1\n return -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of\u00a0integers arr, you are initially positioned at the first index of the array.\n\nIn one step you can jump from index i to index:\n\n\n\ni + 1 where:\u00a0i + 1 < arr.length.\n\ni - 1 where:\u00a0i - 1 >= 0.\n\nj where: arr[i] == arr[j] and i != j.\n\n\n\nReturn the minimum number of steps to reach the last index of the array.\n\nNotice that you can not jump outside of the array at any time.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array arr of distinct integers and an integer k.\n\nA game will be played between the first two elements of the array (i.e. arr[0] and arr[1]). In each round of the game, we compare arr[0] with arr[1], the larger integer\u00a0wins and remains at position 0 and the smaller integer moves to the end of the array. The game ends when an integer wins k consecutive rounds.\n\nReturn the integer which will win the game.\n\nIt is guaranteed that there will be a winner of the game.", "responses": { "class Solution:\n def getWinner(self, arr: List[int], k: int) -> int:\n win=0\n \n curr = arr[0]\n mx=0\n \n \n for i in range(1,len(arr)): \n if arr[i] > curr:\n curr=arr[i]\n win=0\n \n win=win+1\n if win==k:\n break\n \n return curr": 1.0, "class Solution:\n def getWinner(self, arr: List[int], k: int) -> int:\n win=0\n \n curr = arr[0]\n mx=0\n \n for i in range(1,len(arr)):\n i+=1 # Bug: Incrementing 'i' incorrectly\n if arr[i] > curr:\n curr=arr[i]\n win=0\n \n win=win+1\n if win==k:\n break\n \n return curr": 0.0, "class Solution:\n def getWinner(self, arr: List[int], k: int) -> int:\n win=0\n \n curr = arr[0] + 1 # Bug: Incorrectly adding 1 to the current value\n mx=0\n \n \n for i in range(1,len(arr)): \n if arr[i] > curr:\n curr=arr[i]\n win=0\n \n win=win+1\n if win==k:\n break\n \n return curr": 0.0, "class Solution:\n def getWinner(self, arr: List[int], k: int) -> int:\n win=0\n \n curr = arr[0]\n mx=0\n \n \n for i in range(1,len(arr)):\n if arr[i-1] > curr: # Bug: Comparing 'arr[i-1]' instead of 'arr[i]'\n curr=arr[i]\n win=0\n \n win=win+1\n if win==k:\n break\n \n return curr": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array arr of distinct integers and an integer k.\n\nA game will be played between the first two elements of the array (i.e. arr[0] and arr[1]). In each round of the game, we compare arr[0] with arr[1], the larger integer\u00a0wins and remains at position 0 and the smaller integer moves to the end of the array. The game ends when an integer wins k consecutive rounds.\n\nReturn the integer which will win the game.\n\nIt is guaranteed that there will be a winner of the game.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Every email consists of a local name and a domain name, separated by the @ sign.\n\nFor example, in alice@leetcode.com,\u00a0alice is the local name, and leetcode.com is the domain name.\n\nBesides lowercase letters, these emails may contain '.'s or '+'s.\n\nIf you add periods ('.') between some characters in the local name part of an email address, mail sent there will be forwarded to the same address without dots in the local name.\u00a0 For example, \"alice.z@leetcode.com\" and \"alicez@leetcode.com\" forward to the same email address.\u00a0 (Note that this rule does not apply for domain names.)\n\nIf you add a plus ('+') in the local name, everything after the first plus sign will be\u00a0ignored. This allows certain emails to be filtered, for example\u00a0m.y+name@email.com\u00a0will be forwarded to\u00a0my@email.com.\u00a0 (Again, this rule does not apply for domain names.)\n\nIt is possible to use both of these rules at the same time.\n\nGiven a list of emails, we send one email to each address in the list.\u00a0\u00a0How many different addresses actually receive mails?", "responses": { "class Solution:\n def numUniqueEmails(self, emails: List[str]) -> int:\n s = [];\n for email in emails:\n for i in range(len(email)):\n if email[i]=='@':\n localname = email[:i];\n domainname = email[i:];\n local = '';\n for x in localname:\n if x=='+':\n break;\n local += x;\n local = local.replace('.','');\n s.append(local+domainname);\n break;\n return len(set(s));": 1.0, "class Solution:\n def numUniqueEmails(emails: List[str]) -> int\n s = []\n for email in emails:\n for i in range(len(email)):\n if email[i]=='@':\n localname = email[:i]\n domainname = email[i:]\n local = ''\n for x in localname:\n if x=='+':\n break\n local += x\n local = local.replace('.','')\n s.append(local+domainname)\n break\n return len(set(s))": 0.0, "class Solution:\n def numUniqueEmails(self, emails: List[str]) -> int:\n s = []\n for email in emails\n for i in range(len(email)):\n if email[i]=='@':\n localname = email[:i]\n domainname = email[i:]\n local = ''\n for x in localname:\n if x=='+':\n break\n local += x\n local = local.replace('.','')\n s.append(local+domainname)\n break\n return len(set(s))": 0.0, "class Solution:\n def numUniqueEmails(self, emails: List[str]) -> int:\n s = []\n for email in emails:\n for i in range(len(email)):\n if email[i]=='@':\n localname = email[:i]\n domainname = email[i:]\n local = ''\n for x in lname:\n if x=='+':\n break\n local += x\n local = local.replace('.','')\n s.append(local+domainname)\n break\n return len(set(s))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEvery email consists of a local name and a domain name, separated by the @ sign.\n\nFor example, in alice@leetcode.com,\u00a0alice is the local name, and leetcode.com is the domain name.\n\nBesides lowercase letters, these emails may contain '.'s or '+'s.\n\nIf you add periods ('.') between some characters in the local name part of an email address, mail sent there will be forwarded to the same address without dots in the local name.\u00a0 For example, \"alice.z@leetcode.com\" and \"alicez@leetcode.com\" forward to the same email address.\u00a0 (Note that this rule does not apply for domain names.)\n\nIf you add a plus ('+') in the local name, everything after the first plus sign will be\u00a0ignored. This allows certain emails to be filtered, for example\u00a0m.y+name@email.com\u00a0will be forwarded to\u00a0my@email.com.\u00a0 (Again, this rule does not apply for domain names.)\n\nIt is possible to use both of these rules at the same time.\n\nGiven a list of emails, we send one email to each address in the list.\u00a0\u00a0How many different addresses actually receive mails?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array with n integers, your task is to check if it could become non-decreasing by modifying at most 1 element.\n\n\n\n\n\n\n\nWe define an array is non-decreasing if array[i] holds for every i (1", "responses": { "class Solution:\n def checkPossibility(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n possibility_flag = False\n for i in range(1, len(nums)):\n if nums[i] < nums[i-1]:\n if possibility_flag:\n return False\n possibility_flag = True\n if (i-2 < 0 or i-2 >= 0 and nums[i-2] < nums[i]) or (i+1 >= len(nums) or i+1 < len(nums) and nums[i+1] > nums[i-1]):\n pass\n else:\n return False\n return True\n ": 1.0, "class Solution:\n def checkPossibility(self, nums):\n possibility_flag = True\n for i in range(1, len(nums)):\n if nums[i] < nums[i-1]:\n if possibility_flag:\n return False\n possibility_flag = False\n if (i-2 < 0 or i-2 >= 0 and nums[i-2] < nums[i]) or (i+1 >= len(nums) or i+1 < len(nums) and nums[i+1] > nums[i-1]):\n pass\n else:\n return False\n return True": 0.0, "class Solution:\n def checkPossibility(self, nums):\n possibility_flag = False\n for i in range(1, len(nums)):\n if nums[i] <= nums[i-1]:\n if possibility_flag:\n return False\n possibility_flag = True\n if (i-2 < 0 or i-2 >= 0 and nums[i-2] < nums[i]) or (i+1 >= len(nums) or i+1 < len(nums) and nums[i+1] > nums[i-1]):\n pass\n else:\n return False\n return True": 0.0, "class Solution:\n def checkPossibility(self, nums):\n possibility_flag = False\n for i in range(1, len(nums)-1):\n if nums[i] < nums[i-1]:\n if possibility_flag:\n return False\n possibility_flag = True\n if (i-2 < 0 or i-2 >= 0 and nums[i-2] < nums[i]) or (i+1 >= len(nums) or i+1 < len(nums) and nums[i+1] > nums[i-1]):\n pass\n else:\n return False\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array with n integers, your task is to check if it could become non-decreasing by modifying at most 1 element.\n\n\n\n\n\n\n\nWe define an array is non-decreasing if array[i] holds for every i (1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array nums and an integer target.\n\nReturn the maximum number of non-empty\u00a0non-overlapping subarrays such that the sum of values in each subarray is equal to target.", "responses": { "class Solution:\n def maxNonOverlapping(self, nums: List[int], target: int) -> int:\n sum_set = set()\n sum_set.add(0)\n temp = 0\n count = 0\n for num in nums:\n temp += num\n if temp - target in sum_set:\n count += 1\n sum_set.clear()\n sum_set.add(0)\n temp = 0\n continue\n sum_set.add(temp)\n return count": 1.0, "class Solution:\n def maxNonOverlapping(self, nums: List[int], target: int) -> int:\n sum_set = set()\n sum_set.add(0)\n temp = 0\n count = 0\n for num in nums:\n temp += num\n if temp - target in sum_set:\n count += 1\n sum_set.clear()\n sum_set.add(0)\n temp = 0\n continue\n sum_set[sum_set] = target\n return count": 0.0, "class Solution:\n def maxNonOverlapping(self, nums: List[int], target: int) -> int:\n sum_set = set()\n sum_set.add(0)\n temp = 0\n count = 0\n for num in nums:\n temp += num\n if temp / target in sum_set:\n count += 1\n sum_set.clear()\n sum_set.add(0)\n temp = 0\n continue\n sum_set.add(temp)\n return count": 0.0, "class Solution:\n def maxNonOverlapping(self, nums: List[int], target: int) -> int:\n sum_set = set()\n sum_set.add(0)\n temp = 0\n count = 0\n for num in nums:\n temp += num\n if temp - target in sum_set:\n count += 1\n sum_set.clear()\n sum_set.add(0)\n temp = 0\n continue\n sum_set.add(temp + target)\n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array nums and an integer target.\n\nReturn the maximum number of non-empty\u00a0non-overlapping subarrays such that the sum of values in each subarray is equal to target.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Find an n \u00d7 n matrix with different numbers from 1 to n^2, so the sum in each row, column and both main diagonals are odd.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains odd integer n (1 \u2264 n \u2264 49).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n lines with n integers. All the integers should be different and from 1 to n^2. The sum in each row, column and both main diagonals should be odd.", "responses": { "n=int(input())\nmagic=int((n-1)/2)\nx = []\nfor t in range(magic, -1, -1):\n x.append(t*'*'+'D'*(n-2*t)+t*'*')\nfor u in range(1, magic+1):\n x.append(u*'*'+'D'*(n-2*u)+u*'*')\nno = 1\nne = 2\nfor i in range(n):\n for j in range(n):\n if (x[i][j] == 'D'):\n print(no, end = ' ')\n no += 2\n else:\n print(ne, end = ' ')\n ne += 2\n print()": 1.0, "n=int(input())\nmagic=int((n-1)/2)\nx = []\nfor t in range(magic, -1, -1):\n x.append(t*'*'+'D'*(n-2*t)+t*'*')\nfor u in range(1, magic+1):\n x.append(u*'*'+'D'*(n-2*u)+u*'*')\nno = 1\nne = 2\nfor i in range(n):\n for j in range(n):\n if (x[i][j] == 'D'):\n print(no, end = ' ')\n no += 2\n else:\n print(ne, end = ' ')\n ne += 2\n print()": 0.0, "n=int(input())\nmagic=int((n-1)/2)\nx = []\nfor t in range(magic, -1, -1):\n x.append(t*'*'+'D'*(n-2*t)+t*'*')\nfor u in range(1, magic+1):\n x.append(u*'*'+'D'*(n-2*u)+u*'*')\nno = 1\nne = 2\nfor i in range(n):\n for j in range(n):\n if (x[i][j] == 'D'):\n print(no, end = ' ')\n no += 2\nelse:\n print(ne, end = ' ')\n ne += 2\n print()": 0.0, "n=int(input())\nmagic=int((n-1)/2)\nx = []\nfor t in range(magic, -1, -1):\n x.append(t*'*'+'D'*(n-2*t)+t*'*')\nfor u in range(1, magic+1):\n x.append(u*'*'+'D'*(n-2*u)+u*'*')\nno = 1\nne = 2\nfor i in range(n):\n for j in range(n):\n if (x[i][j] == 'D')\n print(no, end = ' ')\n no += 2\n else:\n print(ne, end = ' ')\n ne += 2\n print()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFind an n \u00d7 n matrix with different numbers from 1 to n^2, so the sum in each row, column and both main diagonals are odd.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains odd integer n (1 \u2264 n \u2264 49).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n lines with n integers. All the integers should be different and from 1 to n^2. The sum in each row, column and both main diagonals should be odd.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a program to check whether a given number is an ugly number.\n\n\n\nUgly numbers are positive numbers whose prime factors only include 2, 3, 5.", "responses": { "class Solution:\n def isUgly(self, num):\n \"\"\"\n :type num: int\n :rtype: bool\n \"\"\"\n if num < 1:\n return False\n while num % 2 == 0:\n num = num / 2\n while num % 3 == 0:\n num = num / 3\n while num % 5 == 0:\n num = num / 5\n if num == 1:\n return True\n else:\n return False": 1.0, "class Solution:\n def lengthOfLastWord(self, s: str) -> int:\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n words = s.split()\n return len(words[-1])": 0.0, "class Solution:\n def lengthOfLastWord(self, s: str) -> int:\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n return len(s[-1])": 0.0, "class Solution:\n def lengthOfLastWord(self, s: str) -> int:\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n if not s or len(s.strip()) == 0:\n return None\n words = s.split()\n return len(words[-1])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a program to check whether a given number is an ugly number.\n\n\n\nUgly numbers are positive numbers whose prime factors only include 2, 3, 5.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array A of strings, find any\u00a0smallest string that contains each string in A as a\u00a0substring.\n\nWe may assume that no string in A is substring of another string in A.", "responses": { "class Solution:\n def shortestSuperstring(self, A: List[str]) -> str:\n A = [a for i, a in enumerate(A) if all(a not in b for j, b in enumerate(A) if i != j)]\n def memo(f):\n dic = {}\n def f_alt(*args):\n if args not in dic:\n dic[args] = f(*args)\n return dic[args]\n return f_alt\n def merge(w1, w2):\n for k in range(len(w2), -1, -1):\n if w1.endswith(w2[:k]):\n return w1+w2[k:]\n @memo\n def find_short(tup, last):\n if len(tup) == 1:\n return A[tup[0]]\n mtup = tuple(t for t in tup if t != last)\n return min((merge(find_short(mtup, t), A[last]) for t in mtup), key=len)\n tup = tuple(range(len(A)))\n return min((find_short(tup, i) for i in range(len(A))), key=len)": 1.0, "class Solution:\n def shortestSuperstring(self, A: List[str]) -> str:\n A = [a for i, a in enumerate(A) if all(a not in b for j, b in enumerate(A))] # removed if i != j from the condition\n def memo(f):\n dic = {}\n def f_alt(*args):\n if args not in dic:\n dic[args] = f(*args)\n return dic[args]\n return f_alt\n def merge(w1, w2):\n for k in range(len(w2), -1, -1):\n if w1.endswith(w2[:k]):\n return w1+w2[k:]\n @memo\n def find_short(tup, last):\n if len(tup) == 1:\n return A[tup[0]]\n mtup = tuple(t for t in tup if t != last)\n return min((merge(find_short(mtup, t), A[last]) for t in mtup), key=len)\n tup = tuple(range(len(A)))\n return min((find_short(tup, i) for i in range(len(A))), key=len)": 0.0, "class Solution:\n def shortestSuperstring(self, A: List[str]) -> str:\n A = [a for i, a in enumerate(A)] # removed the condition, always returns all strings\n def memo(f):\n dic = {}\n def f_alt(*args):\n if args not in dic:\n dic[args] = f(*args)\n return dic[args]\n return f_alt\n def merge(w1, w2):\n for k in range(len(w2), -1, -1):\n if w1.endswith(w2[:k]):\n return w1+w2[k:]\n @memo\n def find_short(tup, last):\n if len(tup) == 1:\n return A[tup[0]]\n mtup = tuple(t for t in tup if t != last)\n return min((merge(find_short(mtup, t), A[last]) for t in mtup), key=len)\n tup = tuple(range(len(A)))\n return min((find_short(tup, i) for i in range(len(A))), key=len)": 0.0, "class Solution:\n def shortestSuperstring(self, A: List[str]) -> str:\n A = [a for i, a in enumerate(A) if all(a in b for j, b in enumerate(A) if i != j)] # changed not in to in, returns substrings\n def memo(f):\n dic = {}\n def f_alt(*args):\n if args not in dic:\n dic[args] = f(*args)\n return dic[args]\n return f_alt\n def merge(w1, w2):\n for k in range(len(w2), -1, -1):\n if w1.endswith(w2[:k]):\n return w1+w2[k:]\n @memo\n def find_short(tup, last):\n if len(tup) == 1:\n return A[tup[0]]\n mtup = tuple(t for t in tup if t != last)\n return min((merge(find_short(mtup, t), A[last]) for t in mtup), key=len)\n tup = tuple(range(len(A)))\n return min((find_short(tup, i) for i in range(len(A))), key=len)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array A of strings, find any\u00a0smallest string that contains each string in A as a\u00a0substring.\n\nWe may assume that no string in A is substring of another string in A.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In this kata you must determine the lowest floor in a building from which you cannot drop an egg without it breaking. You may assume that all eggs are the same; if one egg breaks when dropped from floor `n`, all eggs will. If an egg survives a drop from some floor, it will survive a drop from any floor below too. \n\n\n\nYou are given `num_eggs` eggs and are allowed to make a maximum of `num_drops` drops. If an egg does not break when dropped, it may be reused. You may assume that it is feasible to determine the floor with the given number of eggs and drops.", "responses": { "def height(n, m):\n if n >= m:\n return (2 ** (min(n, m)) - 1)\n f = 1\n res = 0\n for i in range(n):\n f = f * (m - i) // (i + 1)\n res += f\n return res\ndef solve(emulator):\n m = emulator.drops\n n = emulator.eggs\n h = 0\n tryh = 0\n while n and m:\n tryh = height(n - 1, m - 1) + 1\n if emulator.drop(h + tryh):\n n -= 1\n else:\n h += tryh\n m -= 1\n return(h + 1)\n # continue here": 1.0, "def height(n, m):\n if n >= m:\n return (2 ** (max(n, m)) - 1)\n f = 1\n res = 0\n for i in range(n):\n f = f * (m - i) // (i + 1)\n res += f\n return res\ndef solve(emulator):\n m = emulator.drops\n n = emulator.eggs\n h = 0\n tryh = 0\n while n and m:\n tryh = height(n - 1, m - 1) + 1\n if emulator.drop(h + tryh):\n n -= 1\n else:\n h += tryh\n m -= 1\n return(h + 1)\n # continue here": 0.0, "def height(n, m):\n if n >= m:\n return (2 ** (min(n, m)) + 1)\n f = 1\n res = 0\n for i in range(n):\n f = f * (m - i) // (i + 1)\n res += f\n return res\ndef solve(emulator):\n m = emulator.drops\n n = emulator.eggs\n h = 0\n tryh = 0\n while n and m:\n tryh = height(n - 1, m - 1) + 1\n if emulator.drop(h + tryh):\n n -= 1\n else:\n h += tryh\n m -= 1\n return(h + 1)\n # continue here": 0.0, "def height(n, m):\n if n >= m:\n return (2 ** (min(n, m)) - 1)\n f = 1\n res = 1\n for i in range(n):\n f = f * (m - i) // (i + 1)\n res += f\n return res\ndef solve(emulator):\n m = emulator.drops\n n = emulator.eggs\n h = 0\n tryh = 0\n while n and m:\n tryh = height(n - 1, m - 1) + 1\n if emulator.drop(h + tryh):\n n -= 1\n else:\n h += tryh\n m -= 1\n return(h + 1)\n # continue here": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn this kata you must determine the lowest floor in a building from which you cannot drop an egg without it breaking. You may assume that all eggs are the same; if one egg breaks when dropped from floor `n`, all eggs will. If an egg survives a drop from some floor, it will survive a drop from any floor below too. \n\n\n\nYou are given `num_eggs` eggs and are allowed to make a maximum of `num_drops` drops. If an egg does not break when dropped, it may be reused. You may assume that it is feasible to determine the floor with the given number of eggs and drops.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it is able to trap after raining.\n\n\n\n\n\nThe above elevation map is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. Thanks Marcos for contributing this image!\n\n\n\nExample:\n\n\n\n\n\nInput: [0,1,0,2,1,0,1,3,2,1,2,1]\n\nOutput: 6", "responses": { "class Solution:\n def trap(self, height):\n \"\"\"\n :type height: List[int]\n :rtype: int\n \"\"\"\n if not height:\n return 0\n result = 0\n left = 0\n right = len(height) - 1\n while left < right:\n if height[left] <= height[right]:\n tmp = height[left]\n left += 1\n while left < right and height[left] <= tmp:\n result += tmp - height[left]\n left += 1\n else:\n tmp = height[right]\n right -= 1\n while left < right and height[right] <= tmp:\n result += tmp - height[right]\n right -=1 \n return result": 1.0, "class Solution:\n def trap(self, height):\n \"\"\"\n :type height: List[int]\n :rtype: int\n \"\"\"\n if not height:\n return 0\n result = 0\n left = 0\n right = len(height) - 1\n while left < right:\n if height[left] <= height[right]:\n tmp = height[left]\n left += 1\n while left < right and height[left] <= tmp:\n result += tmp - height[left]\n left -= 1 # Bug: Should be left += 1\n else:\n tmp = height[right]\n right -= 1\n while left < right and height[right] <= tmp:\n result += tmp - height[right]\n right -= 1 \n return result": 0.0, "class Solution:\n def trap(self, height):\n \"\"\"\n :type height: List[int]\n :rtype: int\n \"\"\"\n if not height:\n return 0\n result = 0\n left = 0\n right = len(height) - 1\n while left < right:\n if height[left] <= height[right]:\n tmp = height[left]\n left -= 1 # Bug: Should be left += 1\n while left < right and height[left] <= tmp:\n result += tmp - height[left]\n left += 1\n else:\n tmp = height[right]\n right -= 1\n while left < right and height[right] <= tmp:\n result += tmp - height[right]\n right -= 1 \n return result": 0.0, "class Solution:\n def trap(self, height):\n \"\"\"\n :type height: List[int]\n :rtype: int\n \"\"\"\n if not height:\n return 0\n result = 0\n left = 0\n right = len(height) - 1\n while left < right:\n if height[left] <= height[right]:\n tmp = height[left]\n left += 1\n while left < right and height[left] <= tmp:\n result -= tmp - height[left] # Bug: Should be result += tmp - height[left]\n left += 1\n else:\n tmp = height[right]\n right -= 1\n while left < right and height[right] <= tmp:\n result += tmp - height[right]\n right -= 1 \n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it is able to trap after raining.\n\n\n\n\n\nThe above elevation map is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. Thanks Marcos for contributing this image!\n\n\n\nExample:\n\n\n\n\n\nInput: [0,1,0,2,1,0,1,3,2,1,2,1]\n\nOutput: 6\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In some game by Playrix it takes t minutes for an oven to bake k carrot cakes, all cakes are ready at the same moment t minutes after they started baking. Arkady needs at least n cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take d minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.\n\n\n\nDetermine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get n cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains four integers n, t, k, d (1 \u2264 n, t, k, d \u2264 1 000)\u00a0\u2014 the number of cakes needed, the time needed for one oven to bake k cakes, the number of cakes baked at the same time, the time needed to build the second oven. \n\n\n\n\n\n-----Output-----\n\n\n\nIf it is reasonable to build the second oven, print \"YES\". Otherwise print \"NO\".", "responses": { "import collections as col\nimport itertools as its\nimport sys\nimport operator\nfrom bisect import bisect_left, bisect_right\nfrom copy import copy, deepcopy\nfrom math import factorial as fact\nclass Solver:\n def __init__(self):\n pass\n def solve(self):\n n, t, k, d = list(map(int, input().split()))\n n = (n + k - 1) // k\n if d < (n-1) * t:\n print('YES')\n else:\n print('NO')\ndef __starting_point():\n s = Solver()\n s.solve()\n__starting_point()": 1.0, "import collections as col\nimport itertools as its\nimport sys\nimport operator\nfrom bisect import bisect_left, bisect_right\nfrom copy import copy, deepcopy\nfrom math import factorial as fact\nclass Solver:\n def __init__(self):\n pass\n def solve(self):\n n, t, k, d = list(map(int, input().split()))\n n = (n + k - 1) // k\n if d < (n-1) * t:\n print('Yes') # Upper case 'Y' should be 'YES'\n else:\n print('NO')\ndef __starting_point():\n s = Solver()\n s.solve()\n__starting_point()": 0.0, "import collections as col\nimport itertools as its\nimport sys\nimport operator\nfrom bisect import bisect_left, bisect_right\nfrom copy import copy, deepcopy\nfrom math import factorial as fact\nclass Solver:\n def __init__(self):\n pass\n def solve(self):\n n, t, k, d = list(map(int, input().split()))\n n = (n + k - 1) // k\n if d >= (n-1) * t: # Greater than or equal to sign should be less than sign\n print('YES')\n else:\n print('NO')\ndef __starting_point():\n s = Solver()\n s.solve()\n__starting_point()": 0.0, "import collections as col\nimport itertools as its\nimport sys\nimport operator\nfrom bisect import bisect_left, bisect_right\nfrom copy import copy, deepcopy\nfrom math import factorial as fact\nclass Solver:\n def __init__(self):\n pass\n def solve(self):\n n, t, k, d = list(map(int, input().split()))\n n = (n + k - 1) // k\n if d < (n-1) * t:\n print('YES')\n else:\n print('N0') # Typo, should be 'NO'\ndef __starting_point():\n s = Solver()\n s.solve()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn some game by Playrix it takes t minutes for an oven to bake k carrot cakes, all cakes are ready at the same moment t minutes after they started baking. Arkady needs at least n cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take d minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.\n\n\n\nDetermine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get n cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains four integers n, t, k, d (1 \u2264 n, t, k, d \u2264 1 000)\u00a0\u2014 the number of cakes needed, the time needed for one oven to bake k cakes, the number of cakes baked at the same time, the time needed to build the second oven. \n\n\n\n\n\n-----Output-----\n\n\n\nIf it is reasonable to build the second oven, print \"YES\". Otherwise print \"NO\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:\n\n\n\n$\\sum_{i = 1}^{a} \\sum_{j = 1}^{b} \\sum_{k = 1}^{c} d(i \\cdot j \\cdot k)$\n\n\n\nFind the sum modulo 1073741824 (2^30).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three space-separated integers a, b and c (1 \u2264 a, b, c \u2264 100).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the required sum modulo 1073741824 (2^30).", "responses": { "a, b, c = map(int, input().split())\nd = 1073741824\np = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\nt = [{} for i in range(101)]\nans = {}\nfor i in p:\n j = i\n m = 1\n while j < 101:\n for k in range(j, 101, j):\n t[k][i] = m\n j = j * i\n m += 1\ns = 0\nfor i in range(1, a + 1):\n for j in range(1, b + 1):\n q = {}\n for x in t[i].keys() | t[j].keys():\n q[x] = t[i].get(x, 0) + t[j].get(x, 0)\n ij = i * j\n for k in range(1, c + 1):\n ijk = ij * k\n if ijk in ans: s += ans[ijk]\n else:\n y = 1\n for x in q.keys() | t[k].keys():\n y = y * (q.get(x, 0) + t[k].get(x, 0) + 1)\n ans[ijk] = y\n s += y\nprint(s)": 1.0, "a, b, c = map(int, input().split())\nd = 1073741824\np = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\nt = [{} for i in range(101)]\nans = {} for i in p:\n j = i\n m = 1\n while j < 101:\n for k in range(j, 101, j):\n t[k][i] = m\n j = j * i\n m += 1\ns = 0\nfor i in range(1, a + 1):\n for j in range(1, b + 1):\n q = {}\n for x in t[i].keys() | t[j].keys():\n q[x] = t[i].get(x, 0) + t[j].get(x, 0)\n ij = i * j\n for k in range(1, c + 1):\n ijk = ij * k\n if ijk in ans: s += ans[ijk]\n else:\n y = 1\n for x in q.keys() | t[k].keys():\n y = y * (q.get(x, 0) + t[k].get(x, 0) + 1)\n ans[ijk] = y\n s += y\nprint(s)\nCode with bug 2": 0.0, "a, b, c = map(int, input().split())\nd = 1073741824\np = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\nt = [{} for i in range(101)]\nans = {}\nfor i in p:\n j = i\n m = 1\n while j < 101:\n for k in range(j, 101, j):\n t[k][i] += m\n j = j * i\n m += 1\ns = 0\nfor i in range(1, a + 1):\n for j in range(1, b + 1):\n q = {}\n for x in t[i].keys() | t[j].keys():\n q[x] = t[i].get(x, 0) + t[j].get(x, 0)\n ij = i * j\n for k in range(1, c + 1):\n ijk = ij * k\n if ijk in ans: s += ans[ijk]\n else:\n y = 1\n for x in q.keys() | t[k].keys():\n y = y * (q.get(x, 0) + t[k].get(x, 0) + 1)\n ans[ijk] = y\n s += y\nprint(s)": 0.0, "a, b, c = map(int, input().split())\nd = 1073741824\np = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\nt = [{} for in range(101)]\nans = {}\nfor i in p:\n j = i\n m = 1\n while j < 101:\n for k in range(j, 101, j):\n t[k][i] = m\n j * i\n m += 1\ns = 0\nfor i in range(1, a + 1):\n for j in range(1, b + 1):\n q = {}\n for x in t[i].keys() | t[j].keys():\n q[x] = t[i].get(x, 0) + t[j].get(x, 0)\n ij = i * j\n for k in range(1, c + 1):\n ijk = ij * k\n if ijk in ans: s += ans[ijk]\n else:\n y = 1\n for x in q.keys() | t[k].keys():\n y = y * (q.get(x, 0) + t[k].get(x, 0) + 1)\n ans[ijk] = y\n s += y\nprint(s)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLet's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:\n\n\n\n$\\sum_{i = 1}^{a} \\sum_{j = 1}^{b} \\sum_{k = 1}^{c} d(i \\cdot j \\cdot k)$\n\n\n\nFind the sum modulo 1073741824 (2^30).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three space-separated integers a, b and c (1 \u2264 a, b, c \u2264 100).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the required sum modulo 1073741824 (2^30).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two integers n and k. Find k-th smallest divisor of n, or report that it doesn't exist.\n\n\n\nDivisor of n is any such natural number, that n can be divided by it without remainder.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 n \u2264 10^15, 1 \u2264 k \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nIf n has less than k divisors, output -1.\n\n\n\nOtherwise, output the k-th smallest divisor of n.", "responses": { "import sys\nimport math\ndef factorization(n):\n res = []\n limit = math.ceil(math.sqrt(n))\n p = 2\n cnt = 0\n while n % p == 0:\n cnt += 1\n n //= p\n if cnt > 0:\n res.append((p, cnt))\n cnt = 0\n for p in range(3, limit + 1, 2):\n if n % p == 0:\n while n % p == 0:\n cnt += 1\n n //= p\n res.append((p, cnt))\n cnt = 0\n if n > 1:\n res.append((n, 1))\n return res\ndef divisor(n):\n res = set()\n factor = factorization(n)\n for p, c in factor:\n if res == set():\n for i in range(c + 1):\n res.add(p ** i)\n else:\n t = set()\n for i in range(1, c + 1):\n for m in res:\n t.add(m * p**i)\n res = res | t\n res = list(sorted(res))\n return res\nn, k = map(int, input().split())\nn_div = divisor(n)\nif n == 1:\n if k == 1:\n ans = 1\n else:\n ans = -1\nelif k > len(n_div):\n ans = -1\nelse:\n ans = n_div[k - 1]\nprint(ans)": 1.0, "import sys\nimport math\ndef factorization(n)\n res = []\n limit = math.ceil(math.sqrt(n))\n p = 2\n cnt = 0\n while n % p == 0:\n cnt += 1\n n //= p\n if cnt > 0:\n res.append((p, cnt))\n cnt = 0\n for p in range(3, limit + 1, 2):\n if n % p == 0:\n while n % p == 0:\n cnt += 1\n n //= p\n res.append((p, cnt))\n cnt = 0\n if n > 1:\n res.append((n, 1)\n return res\ndef divisor(n):\n res = set()\n factor = factorization(n)\n for p, c in factor:\n if res == set():\n for i in range(c + 1):\n res.add(p ** i)\n else:\n t = set()\n for i in range(1, c + 1):\n for m in res:\n t.add(m * p**i)\n res = res | t\n res = list(sorted(res))\n return res\nn, k = map(int, input().split())\nn_div = divisor(n)\nif n == 1:\n if k == 1:\n ans = 1\n else:\n ans = -1\nelif k > len(n_div):\n ans = -1\nelse:\n ans = n_div[k - 1]\npritn(ans)": 0.0, "import sys\nimport math\ndef factorization(n):\n res = []\n limit = math.ceil(math.sqrt(n))\n p = 2\n cnt = 0\n while n % p == 0:\n cnt += 1\n n //= p\n if cnt > 0:\n res.append((p, cnt))\n cnt = 0\n for p in range(3, limit + 1, 2):\n if n % p == 0:\n while n % p == 0:\n cnt += 1\n n //= p\n res.append((p, cnt))\n cnt = 0\n if n > 1:\n res.append((n, 1))\n return res\ndef divisor(n):\n res = set()\n factor = factorization(n)\n for p, c in factor:\n if res == set():\n for i in range(c + 1):\n res.add(p ** i)\n else:\n t = set()\n for i in range(1, c + 1):\n for m in res:\n t.add(m * p**i)\n res = res | t\n res = list(sorted(res))\n return res\nn, k = map(int, input().split())\nn_div = divisor(n)\nif n == 1:\n if k == 1:\n ans = 1\n else:\n ans = -1\nelif k > len(n_div):\n ans = -1\nelse:\n ans = n_div(k - 1)\nprint(ans)": 0.0, "import sys\nimport math\ndef factorization(n):\n res = []\n limit = math.ceil(math.sqrt(n))\n p = 2\n cnt = 0\n while n % p == 0:\n cnt += 1\n n //= p\n if cnt > 0:\n res.append((p, cnt))\n cnt = 0\n for p in range(3, limit + 1, 2):\n if n % p == 0:\n while n % p == 0:\n cnt += 1\n n //= p\n res.append((p, cnt))\n cnt = 0\n if n > 1:\n res.append((n, 1))\n return res\ndef divisor(n):\n res = set()\n factor = factorization(n)\n for p, c in factor:\n if res == set():\n for i in range(c + 1):\n res.add(p ** i)\n else:\n t = set()\n for i in range(1, c + 1):\n for m in res:\n t.add(m * p**i)\n res = res | t\n res = list(sorted(res))\n return res\nn, k = map(int, input().split())\nn_div = divisor(n)\nif n == 1:\n if k == 1:\n ans 1\n else:\n ans = -1\nelif k > len(n_div):\n ans = -1\nelse:\n ans = n_div[k - 1]\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two integers n and k. Find k-th smallest divisor of n, or report that it doesn't exist.\n\n\n\nDivisor of n is any such natural number, that n can be divided by it without remainder.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (1 \u2264 n \u2264 10^15, 1 \u2264 k \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nIf n has less than k divisors, output -1.\n\n\n\nOtherwise, output the k-th smallest divisor of n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In an alien language, surprisingly they also use english lowercase letters, but possibly\u00a0in a different order. The\u00a0order of the alphabet\u00a0is some permutation\u00a0of lowercase letters.\n\nGiven a sequence of words\u00a0written in the alien language,\u00a0and the order of the alphabet,\u00a0return true if and only if the given words\u00a0are sorted lexicographicaly in this alien language.", "responses": { "class Solution:\n def isAlienSorted(self, words: List[str], order: str) -> bool:\n char_map = {char: i for i, char in enumerate(order)}\n for j in range(1, len(words)):\n prev, curr = words[j - 1], words[j]\n k = 0\n while k < min(len(prev), len(curr)):\n if prev[k] == curr[k]:\n k += 1\n elif char_map[prev[k]] > char_map[curr[k]]:\n return False\n else:\n break\n if k >= len(curr):\n return False\n return True": 1.0, "class Solution:\n def isAlienSorted(self, words: List[str], order: str) -> bool:\n char_map = {char: j for j, char in enumerate(order)} --- Incorrect assignment of values in char_map\n for i in range(1, len(words)):\n prev, curr = words[j - 1], words[j]\n k = 0\n while k < min(len(prev), len(curr)):\n if prev[k] == curr[k]:\n k += 1\n elif char_map[prev[k]] > char_map[curr[k]]:\n return False\n else:\n break\n if k >= len(curr):\n return False\n return True": 0.0, "class Solution:\n def isAlienSorted(self, words: List[str]) -> bool: --- Missing 'order' parameter\n char_map = {char: i for i, char in enumerate(order)}\n for j in range(1, len(words)):\n prev, curr = words[j - 1], words[j]\n k = 0\n while k < min(len(prev), len(curr)):\n if prev[k] == curr[k]:\n k += 1\n elif char_map[prev[k]] > char_map[curr[k]]:\n return False\n else:\n break\n if k >= len(curr):\n return False\n return True": 0.0, "class Solution:\n def isAlienSorted(self, words: List[str], order: str) -> bool:\n char_map = {char: i for i, char in enumerate(order)}\n for j in range(1, len(words)):\n prev, curr = words[j - 1], words[j]\n k = 0\n while k < min(len(prev), len(curr)):\n if prev[k] == curr[k]:\n k += 1 --- Invalid indentation\n elif char_map[prev[k]] > char_map[curr[k]]:\n return False\n else:\n break\n if k >= len(curr):\n return False\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn an alien language, surprisingly they also use english lowercase letters, but possibly\u00a0in a different order. The\u00a0order of the alphabet\u00a0is some permutation\u00a0of lowercase letters.\n\nGiven a sequence of words\u00a0written in the alien language,\u00a0and the order of the alphabet,\u00a0return true if and only if the given words\u00a0are sorted lexicographicaly in this alien language.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N+1 towns. The i-th town is being attacked by A_i monsters.\n\nWe have N heroes. The i-th hero can defeat monsters attacking the i-th or (i+1)-th town, for a total of at most B_i monsters.\n\nWhat is the maximum total number of monsters the heroes can cooperate to defeat?\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - 1 \\leq B_i \\leq 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_{N+1}\n\nB_1 B_2 ... B_N\n\n\n\n-----Output-----\n\nPrint the maximum total number of monsters the heroes can defeat.\n\n\n\n-----Sample Input-----\n\n2\n\n3 5 2\n\n4 5\n\n\n\n-----Sample Output-----\n\n9\n\n\n\nIf the heroes choose the monsters to defeat as follows, they can defeat nine monsters in total, which is the maximum result.\n\n - The first hero defeats two monsters attacking the first town and two monsters attacking the second town.\n\n - The second hero defeats three monsters attacking the second town and two monsters attacking the third town.", "responses": { "\"\"\"\nCreated on Thu Sep 10 11:20:10 2020\n@author: liang\n\"\"\"\nN = int(input())\nA = [int(i) for i in input().split()]\nB = [int(i) for i in input().split()]\nans = 0\nfor i in range(N):\n ans += min(B[i], A[i]+A[i+1])\n if B[i] > A[i]:\n A[i+1] -= B[i] - A[i]\n if A[i+1] < 0:\n A[i+1] = 0\nprint(ans)": 1.0, "\"\"\"\nCreated on Thu Sep 10 11:20:10 2020\n@author: liang\n\"\"\"\nN = int()\nA = [int(i) for in input().split()]\nB = [int(i) for i in input().split()]\nans = 0\nfor i in range(N):\n ans += min(B[i], A[i]+A[i+1])\n if B[i] > A[i]:\n A[i+1] -= B[i] - A[i]\n if A[i+1] < 0:\n A[i+1] = 0\nprint(ans)": 0.0, "\"\"\"\nCreated on Thu Sep 10 11:20:10 2020\n@autho: liang\n\"\"\"\nN = int(input())\nA = [int(i) for in input().split()]\nB = [int(i) for i in input().split()]\nans = 0\nfor i in range(N):\n ans += min(B[i], A[i]+A[i+1])\n if B[i] > A[i]:\n A[i+1] -= B[i] - A[i]\n if A[i+1] < 0:\n A[i+1] = 0\nprint(ans)": 0.0, "\"\"\"\nCreated on Thu Sep 10 11:20:10 2020\n@a: liang\n\"\"\"\nN = int(input())\nA = [int(i) for in input().split()]\nB = [int(i) for i in input().split()]\nans = 0\nfor i in range(N):\n ans += min(B[i], A[i]+A[i+1])\n if B[i] > A[i]:\n A[i+1] -= B[i] - A[i]\n if A[i+1] < 0:\n A[i+1] = 0\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N+1 towns. The i-th town is being attacked by A_i monsters.\n\nWe have N heroes. The i-th hero can defeat monsters attacking the i-th or (i+1)-th town, for a total of at most B_i monsters.\n\nWhat is the maximum total number of monsters the heroes can cooperate to defeat?\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq N \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - 1 \\leq B_i \\leq 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_{N+1}\n\nB_1 B_2 ... B_N\n\n\n\n-----Output-----\n\nPrint the maximum total number of monsters the heroes can defeat.\n\n\n\n-----Sample Input-----\n\n2\n\n3 5 2\n\n4 5\n\n\n\n-----Sample Output-----\n\n9\n\n\n\nIf the heroes choose the monsters to defeat as follows, they can defeat nine monsters in total, which is the maximum result.\n\n - The first hero defeats two monsters attacking the first town and two monsters attacking the second town.\n\n - The second hero defeats three monsters attacking the second town and two monsters attacking the third town.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a list of dominoes,\u00a0dominoes[i] = [a, b]\u00a0is equivalent to dominoes[j] = [c, d]\u00a0if and only if either (a==c and b==d), or (a==d and b==c) - that is, one domino can be rotated to be equal to another domino.\n\nReturn the number of pairs (i, j) for which 0 <= i < j < dominoes.length, and\u00a0dominoes[i] is equivalent to dominoes[j].", "responses": { "class Solution:\n def numEquivDominoPairs(self, dominoes: List[List[int]]) -> int:\n set1={}\n \n sum1=0\n for i in dominoes:\n ri=list(reversed(i))\n i=tuple(i)\n ri=tuple(ri)\n if i in set1.keys():\n sum1+=set1[i]\n set1[i]+=1\n elif ri in set1.keys():\n sum1+=set1[ri]\n set1[ri]+=1\n else:\n set1[i]=1\n return sum1": 1.0, "class Solution:\n def numEquivDominoPairs(self, dominoes: List[List[int]]) -> int:\n set1={}\n \n sum1=0\n for i in dominoes:\n ri=list(reversed(i))\n i=tuple(i)\n ri=tuple(ri)\n if i in set1.keys():\n sum1+=set1[i]\n set1[i]+=2 # Incorrect formula for incrementing count\n elif ri in set1.keys():\n sum1+=set1[ri]\n set1[ri]+=1\n else:\n set1[i]=1\n return sum1": 0.0, "class Solution:\n def numEquivDominoPairs(self, dominoes: List[List[int]]) -> int:\n set1={}\n \n sum1=0\n for i in dominoes:\n ri=list(reversed(i))\n i=tuple(i)\n ri=tuple(ri)\n if i in set1.keys():\n sum1+=set1[i]\n set1[i]-=1 # Incorrect formula for incrementing count\n elif ri in set1.keys():\n sum1+=set1[ri]\n set1[ri]+=1\n else:\n set1[i]=1\n return sum1": 0.0, "class Solution:\n def numEquivDominoPairs(self, dominoes: List[List[int]]) -> int:\n set1={}\n \n sum1=0\n for i in dominoes:\n ri=list(reversed(i))\n i=tuple(i)\n ri=tuple(ri)\n if i in set1.keys():\n sum1+=set1[i]\n set1[i]+=1\n elif ri in set1.keys():\n sum1-=set1[ri] # Incorrect formula for incrementing count\n set1[ri]+=1\n else:\n set1[i]=1\n return sum1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a list of dominoes,\u00a0dominoes[i] = [a, b]\u00a0is equivalent to dominoes[j] = [c, d]\u00a0if and only if either (a==c and b==d), or (a==d and b==c) - that is, one domino can be rotated to be equal to another domino.\n\nReturn the number of pairs (i, j) for which 0 <= i < j < dominoes.length, and\u00a0dominoes[i] is equivalent to dominoes[j].\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed. All houses at this place are arranged in a circle. That means the first house is the neighbor of the last one. Meanwhile, adjacent houses have security system connected and\u00a0it will automatically contact the police if two adjacent houses were broken into on the same night.\n\n\n\nGiven a list of non-negative integers representing the amount of money of each house, determine the maximum amount of money you can rob tonight without alerting the police.", "responses": { "class Solution:\n def rob(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n if len(nums)==1:\n return nums[0]\n return max(self.helper(nums[1:]), self.helper(nums[:-1]))\n \n def helper(self,nums):\n now = prev = 0\n for nxt in nums:\n now, prev = max(nxt+prev, now), now\n return now": 1.0, "class Solution:\n def rob(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n if len(nums)==1:\n return nums[0]\n return max(self.helper(nums[1:]), self.helper(nums[:-1]))\n \n # Missing colon after def helper(self, nums)\n def helper(self,nums)\n now = prev = 0\n for nxt in nums:\n now, prev = max(nxt+prev, now), now\n return now": 0.0, "class Solution:\n def rob(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n if len(nums)==1:\n return nums[0]\n \n # Variable typo - should be max(nxt+prev, now), now instead of max(nxt+prev, nov), now\n return max(self.helper(nums[1:]), self.helper(nums[:-1]))\n \n def helper(self,nums):\n now = prev = 0\n for nxt in nums:\n now, prev = max(nxt+prev, nov), now\n return now": 0.0, "class Solution:\n def rob(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n if len(nums)==1:\n return nums[0]\n return max(self.helper(nums[1:]), self.helper(nums[:-1]))\n \n def helper(self,nums):\n now = prev = 0\n for nxt in nums:\n # Misplaced comma after max(nxt+prev now) statement\n now, prev = max(nxt+prev now), now\n return now": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed. All houses at this place are arranged in a circle. That means the first house is the neighbor of the last one. Meanwhile, adjacent houses have security system connected and\u00a0it will automatically contact the police if two adjacent houses were broken into on the same night.\n\n\n\nGiven a list of non-negative integers representing the amount of money of each house, determine the maximum amount of money you can rob tonight without alerting the police.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "=====Problem Statement=====\n\nLet's dive into the interesting topic of regular expressions! You are given some input, and you are required to check whether they are valid mobile numbers.\n\n\n\nConcept\n\nA valid mobile number is a ten digit number starting with a 7, 8, or 9.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer N, the number of inputs.\n\nN lines follow, each containing some string.\n\n\n\n=====Constraints=====\n\n1\u2264N\u226410\n\n2\u2264len(Number)\u226415\n\n\n\n=====Output Format=====\n\nFor every string listed, print \"YES\" if it is a valid mobile number and \"NO\" if it is not on separate lines. Do not print the quotes.", "responses": { "n=int(input())\nfor i in range(0,n):\n tmp_str=input()\n len_tmp_str=len(tmp_str)\n if(len_tmp_str!=10):\n ##print \"LENGTH PROBLEM\"\n print(\"NO\")\n elif(tmp_str[0]!=\"7\" and tmp_str[0]!=\"8\" and tmp_str[0]!=\"9\"):\n ##print \"START PROBLEM\" \n print(\"NO\")\n else:\n check=1\n for i in tmp_str:\n if(i>=\"0\" and i<=\"9\"):\n continue\n else:\n check=0\n break\n if(check==1):\n print(\"YES\")\n else:\n ##print \"NUMBER PROBLEM\" \n print(\"NO\")": 1.0, "n = int(input())\nfor i in range(0, n):\n tmp_str = input()\n len_tmp_str = len(tmp_str)\n if len_tmp_str != 10:\n print(\"NO\")": 0.0, "n=int(input())\nfor i in range(0, n):\n tmp_str=input()\n len_tmp_str=len(tmp_str)\n if len_tmp_str != 10:\n print(\"NO\")\n elif tmp_str[0] != \"7\" and tmp_str[0] != \"8\" and tmp_str[0] != \"9\":\n print(\"NO\")\n else:\n check = 1\n for i in tmp_str:\n if i >= \"0\" and i <= \"9\":\n continue\n else:\n check = 0\n break\n if check == 1:\n print(\"YES\")\n else:\n print(\"NO\")": 0.0, "n = int(input())\nfor i in range(0, n):\n tmp_str = input()\n \n len_tmp_str = len(tmp_str)\n if len_tmp_str != 10:\n print(\"NO\")\n elif tmp_str[0] != \"7\" or tmp_str[0] != \"8\" or tmp_str[0] != \"9\":\n print(\"NO\")\n else:\n check = 1\n for i in tmp_str:\n if i >= \"0\" or i <= \"9\":\n continue\n else:\n check = 0\n break\n if check == 1:\n print(\"YES\")\n else:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n=====Problem Statement=====\n\nLet's dive into the interesting topic of regular expressions! You are given some input, and you are required to check whether they are valid mobile numbers.\n\n\n\nConcept\n\nA valid mobile number is a ten digit number starting with a 7, 8, or 9.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer N, the number of inputs.\n\nN lines follow, each containing some string.\n\n\n\n=====Constraints=====\n\n1\u2264N\u226410\n\n2\u2264len(Number)\u226415\n\n\n\n=====Output Format=====\n\nFor every string listed, print \"YES\" if it is a valid mobile number and \"NO\" if it is not on separate lines. Do not print the quotes.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "It seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.\n\n\n\nNow you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integer y (1000 \u2264 y \u2264 9000) \u2014 the year number.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the minimum year number that is strictly larger than y and all it's digits are distinct. It is guaranteed that the answer exists.", "responses": { "def find(ins):\n\tins += 1\n\t\n\ttest = [int(i) for i in str(ins)]\n\t\n\tinlist = []\n\t\n\tfor i in test:\n\t\tif i in inlist:\n\t\t\t\n\t\t\ttest = find(ins)\n\t\t\tbreak\n\t\t\t\n\t\telse:\n\t\t\tinlist.append(i)\n\t\n\treturn ''.join(str(x) for x in test)\n\t\nins = int(input())\nprint(find(ins))": 1.0, "def find(ins):\n\tins += 1\n\t\n\ttest = [int(i) for i in str(ins)]\n\t\n\tinlist = []\n\t\n\t# Removing all the elements from `inlist`\n\tinlist.clear()\n\t\n\tfor i in test:\n\t\tif i in inlist:\n\t\t\t\n\t\t\ttest = find(ins)\n\t\t\tbreak\n\t\t\t\n\t\telse:\n\t\t\tinlist.append(i)\n\t\n\treturn ''.join(str(x) for x in test)\n\t\nins = int(input())\nprint(find(ins))": 0.0, "def find(ins):\n\tins += 1\n\t\n\ttest = [int(i) for i in str(ins)]\n\t\n\tinlist = []\n\t\n\tfor i in test:\n\t\tif i in inlist:\n\t\t\t\n\t\t\t# Modifying the test list inside the loop\n\t\t\ttest.insert(0, 0)\n\t\t\t\n\t\t\ttest = find(ins)\n\t\t\tbreak\n\t\t\t\n\t\telse:\n\t\t\tinlist.append(i)\n\t\n\treturn ''.join(str(x) for x in test)\n\t\nins = int(input())\nprint(find(ins))": 0.0, "def find(ins):\n\tins += 1\n\t\n\ttest = [int(i) for i in str(ins)]\n\t\n\tinlist = []\n\t\n\tfor i in test:\n\t\tif i in inlist:\n\t\t\t\n\t\t\ttest = find(ins)\n\t\t\tbreak\n\t\t\t\n\t\telse:\n\t\t\t# Adding an extra element to `inlist` inside the loop\n\t\t\tinlist.append(i)\n\t\t\tinlist.append(i)\n\t\n\treturn ''.join(str(x) for x in test)\n\t\nins = int(input())\nprint(find(ins))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIt seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.\n\n\n\nNow you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integer y (1000 \u2264 y \u2264 9000) \u2014 the year number.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the minimum year number that is strictly larger than y and all it's digits are distinct. It is guaranteed that the answer exists.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string text of words that are placed among some number of spaces. Each word consists of one or more lowercase English letters and are separated by at least one space. It's guaranteed that text contains at least one word.\n\nRearrange the spaces so that there is an equal number of spaces between every pair of adjacent words and that number is maximized. If you cannot redistribute all the spaces equally, place the extra spaces at the end, meaning the returned string should be the same length as text.\n\nReturn the string after rearranging the spaces.", "responses": { "class Solution:\n def reorderSpaces(self, text: str) -> str:\n s = text.split()\n if len(s) == 1: \n text = ''.join(s) + ' '*text.count(' ')\n return text\n count = text.count(' ')//(len(s)-1)\n extra = text.count(' ')%(len(s)-1)\n result = ''\n num = 0\n for c in s:\n result += c\n num += 1\n if num <= (len(s)-1):\n result += ' '*count\n qqqqqqqqq = [3]*100000\n if extra != 0:\n result += ' '*extra\n return result": 1.0, "def reorderSpaces(text: str) -> str:\n s = text.split()\n if len(s) == 1: \n text = ''.join(s) + '*text.count(' ')*'\n return text\n count = text.count(' ')//(len(s)-1)\n extra = text.count(' ')%(len(s)-1)\n result = ''\n num = 0\n for c in s:\n result += c\n num += 1\n if num <= (len(s)-1):\n result += ' '*count\n if extra != 0:\n result += ' '*extra\n return result": 0.0, "class Solution:\n def reorderSpaces(self, text: str) -> str:\n s = text.split()\n if len(s) == 1: \n text = ''.join(s) + ' '*text.count(' ')\n return text\n count = text.lower().count(' ')//(len(s)-1)\n extra = text.count(' ')%(len(s)-1)\n result = ''\n num = 0\n for c in s:\n result += c\n num += 1\n if num <= (len(s)-1):\n result += ' '*count\n if extra != 0:\n result += ' '*extra\n return result": 0.0, "class Solution:\n def reorderSpaces(self, text: str) -> str:\n s = text.split()\n if len(s) == 1: \n text = ''.join(s) + ' '*text.count(' ')\n return text\n count = text.count(' ')//(len(s)-1)\n extra = text.count(' ')%(len(s)-1)\n result = ''\n num = 0\n for c in s:\n result += c\n num += 1\n if num <= (len(s)-1):\n result += ' '*count\n if ext != 0:\n result += ' '*extra\n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string text of words that are placed among some number of spaces. Each word consists of one or more lowercase English letters and are separated by at least one space. It's guaranteed that text contains at least one word.\n\nRearrange the spaces so that there is an equal number of spaces between every pair of adjacent words and that number is maximized. If you cannot redistribute all the spaces equally, place the extra spaces at the end, meaning the returned string should be the same length as text.\n\nReturn the string after rearranging the spaces.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given one integer number $n$. Find three distinct integers $a, b, c$ such that $2 \\le a, b, c$ and $a \\cdot b \\cdot c = n$ or say that it is impossible to do it.\n\n\n\nIf there are several answers, you can print any.\n\n\n\nYou have to answer $t$ independent test cases.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $t$ ($1 \\le t \\le 100$) \u2014 the number of test cases.\n\n\n\nThe next $n$ lines describe test cases. The $i$-th test case is given on a new line as one integer $n$ ($2 \\le n \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case, print the answer on it. Print \"NO\" if it is impossible to represent $n$ as $a \\cdot b \\cdot c$ for some distinct integers $a, b, c$ such that $2 \\le a, b, c$.\n\n\n\nOtherwise, print \"YES\" and any possible such representation.\n\n\n\n\n\n-----Example-----\n\nInput\n\n5\n\n64\n\n32\n\n97\n\n2\n\n12345\n\n\n\nOutput\n\nYES\n\n2 4 8 \n\nNO\n\nNO\n\nNO\n\nYES\n\n3 5 823", "responses": { "t=int(input())\nfor i in range(t):\n n=int(input())\n a=[]\n for i in range(2,int(n**0.5)+2):\n if len(a)==2:\n a.append(n)\n break \n if n%i==0:\n a.append(i)\n n//=i\n a=list(set(a))\n if len(a)==3 and a.count(1)==0:\n print('YES')\n a.sort()\n print(a[0],a[1],a[2])\n else:\n print('NO')": 1.0, "t=int(input())\nfor i in range(t):\n n=int(input())\n a=[]\n for i in range(2,int(n**0.5)+2):\n if len(a) == 2:\n a.append(n)\n break \n if n%i==0:\n a.append(i)\n n//=i\n a=list(set(a))\n if len(a)==3 and a.count(1)==0:\n print('YES')\n a.sort()\n print(a[0],a[1],a[2])\n else:\n print('NO')": 0.0, "t=int(input())\nfor i in range(t):\n n=int(input())\n b=[]\n for i in range(2,int(n**0.5)+2):\n if len(b)==2:\n b.append(n)\n break \n if n%i==0:\n b.append(i)\n n//=i\n b=list(set(b))\n if len(b)==3 and b.count(1)==0:\n print('YES')\n b.sort()\n print(b[0],b[1],b[2])\n else:\n print('NO')": 0.0, "t= int(input())\nfor i in rang(t):\n n=int(input())\n a=[]\n for i in range(2, int(n ** 0.5) + 2):\n if len(a)==2:\n a.append(n)\n break \n if n%i==0:\n a.append(i)\n n//=i\n a = list(set(a))\n if len(a)==3 and a.count(1)==0:\n print('YES')\n a.sort()\n print(a[0],a[1],a[2])\n else:\n print('NO')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given one integer number $n$. Find three distinct integers $a, b, c$ such that $2 \\le a, b, c$ and $a \\cdot b \\cdot c = n$ or say that it is impossible to do it.\n\n\n\nIf there are several answers, you can print any.\n\n\n\nYou have to answer $t$ independent test cases.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $t$ ($1 \\le t \\le 100$) \u2014 the number of test cases.\n\n\n\nThe next $n$ lines describe test cases. The $i$-th test case is given on a new line as one integer $n$ ($2 \\le n \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nFor each test case, print the answer on it. Print \"NO\" if it is impossible to represent $n$ as $a \\cdot b \\cdot c$ for some distinct integers $a, b, c$ such that $2 \\le a, b, c$.\n\n\n\nOtherwise, print \"YES\" and any possible such representation.\n\n\n\n\n\n-----Example-----\n\nInput\n\n5\n\n64\n\n32\n\n97\n\n2\n\n12345\n\n\n\nOutput\n\nYES\n\n2 4 8 \n\nNO\n\nNO\n\nNO\n\nYES\n\n3 5 823\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.\n\n\n\nNote:\u00a0A leaf is a node with no children.\n\n\n\nExample:\n\n\n\nGiven the below binary tree and sum = 22,\n\n\n\n\n\n 5\n\n / \\\n\n 4 8\n\n / / \\\n\n 11 13 4\n\n / \\ / \\\n\n7 2 5 1\n\n\n\n\n\nReturn:\n\n\n\n\n\n[\n\n [5,4,11,2],\n\n [5,8,4,5]\n\n]", "responses": { " # class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def pathSum(self, root, sum):\n \"\"\"\n :type root: TreeNode\n :type sum: int\n :rtype: List[List[int]]\n \"\"\"\n ans = []\n buffer = []\n self.helper(ans, root, sum, buffer)\n return ans\n def helper(self, ans, root, sum, buffer):\n \"\"\"\n recursive method travesal to the bottom of the tree\n and add the path that path's sum equals the given sum into the result\n \n :type ans: List[List[int]]\n :type root: TreeNode\n :type sum: int\n :type buffer: List[int]\n :rtype None\n \"\"\"\n if not root: return\n sum -= root.val\n buffer.append(root.val)\n if not (root.left or root.right) and sum == 0: ans.append([x for x in buffer])\n self.helper(ans, root.left, sum, buffer)\n self.helper(ans, root.right, sum, buffer)\n buffer.pop()": 1.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def pathSum(self, root, sum):\n \"\"\"\n :type root: TreeNode\n :type sum: int\n :rtype: List[List[int]]\n \"\"\"\n ans = []\n buffer = []\n self.helper(ans, root, sum, buffer)\n return ans\n def helper(self, ans, root, sum, buffer):\n \"\"\"\n recursive method travesal to the bottom of the tree\n and add the path that path's sum equals the given sum into the result\n \n :type ans: List[List[int]]\n :type root: TreeNode\n :type sum: int\n :type buffer: List[int]\n :rtype None\n \"\"\"\n if not root: return\n sum -= root.val\n buffer.append(root.val)\n if not (root.left or root.right) and sum == 0 ans.append([x for x in buffer])\n self.helper(ans, root.left, sum, buffer)\n self.helper(ans, root.right, sum, buffer)\n buffer.pop()": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def pathSum(self, root, sum):\n \"\"\"\n :type root: TreeNode\n :type sum: int\n :rtype: List[List[int]]\n \"\"\"\n ans = []\n buffer = []\n self.helper(ans, root, sum, buffer)\n return ans\n def helper(self, ans, root, sum, buffer):\n \"\"\"\n recursive method travesal to the bottom of the tree\n \n \n :type ans: List[List[int]]\n :type root: TreeNode\n :type sum: int\n :type buffer: List[int]\n :rtype None\n \"\"\"\n if not root: return\n sum -= root.val\n buffer.append(root.val)\n if not (root.left or root.right) and sum == 0: ans.append(x for x in buffer)\n self.helper(ans, root.left, sum, buffer)\n self.helper(ans, root.right, sum, buffer)\n buffer.pop()": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def pathSum(self, root, sum):\n \"\"\"\n :type root: TreeNode\n :type sum: int\n :rtype: List[List[int]]\n \"\"\"\n ans = []\n buffer = []\n self.helper(ans, root, sum, buffer)\n return ans\n def helper(self, ans, root, sum, buffer):\n \"\"\"\n recursive method travesal to the bottom of the tree\n and add the path that path's sum equals the given sum into the result\n \n :type ans: List[List[int]]\n :type root: TreeNode\n :type sum: int\n :type buffer: List[int]\n :rtype None\n \"\"\"\n if not root: return\n sum -= root.val\n buffer.append(root.val)\n if not root.left or root.right and sum == 0: ans.append([x for x in buffer])\n self.helper(ans, root.left, sum, buffer)\n self.helper(ans, root.right, sum, buffer)\n buffer.pop()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.\n\n\n\nNote:\u00a0A leaf is a node with no children.\n\n\n\nExample:\n\n\n\nGiven the below binary tree and sum = 22,\n\n\n\n\n\n 5\n\n / \\\n\n 4 8\n\n / / \\\n\n 11 13 4\n\n / \\ / \\\n\n7 2 5 1\n\n\n\n\n\nReturn:\n\n\n\n\n\n[\n\n [5,4,11,2],\n\n [5,8,4,5]\n\n]\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "An\u00a0integer has sequential digits if and only if each digit in the number is one more than the previous digit.\n\nReturn a sorted list of all the integers\u00a0in the range [low, high]\u00a0inclusive that have sequential digits.", "responses": { "class Solution:\n def sequentialDigits(self, low: int, high: int) -> List[int]:\n l=len(str(low))\n f=len(str(high))\n s=len(str(low)[0])\n a=[]\n for i in range(l,f+1):\n while True:\n t=''\n if i+s>10:\n break\n for j in range(s,i+s):\n t+=str(j)\n if int(t)>high:\n break\n if int(t)= 2:\n if b <= sum(x) <= c and max(x) - min(x) >= d:\n aa+=1\nprint(aa)": 1.0, "aa=0\r\na, b, c, d = (list(map(int, input().split(' ')))\r\nl = list(map(int, input().split(' ')))\r\nfor i in range(2**a):\r\n k = bin(i)[2:]\r\n t = 0\r\n k = '0' * (a-len(k)) + k\r\n x = []\r\n for j in range(a):\r\n if k[j] == '1':\r\n x.append(l[j])\r\n t += 1\r\n \r\n if t >= 2:\r\n if b <= sum(x) <= c and max(x) - min(x) >= d:\r\n aa+=1\r\nprint(aa)": 0.0, "aa=0\r\na, b, c, d = (list(map(int, input().split(' '))))\r\nl = list(map(int, input().split(' ')))\r\nfor i in range(2**a):\r\n k = bin(i)[2:]\r\n t = 0\r\n k = '0' * (a-len(k)) + k\r\n x = []\r\n for j in range(a)\r\n if k[j] == '1':\r\n x.append(l[j])\r\n t += 1\r\n \r\n if t >= 2:\r\n if b <= sum(x) <= c and max(x) - min(x) >= d:\r\n aa+=1\r\nprint(aa)": 0.0, "aa=0\r\na, b, c, d = (list(map(int, input().split(' '))))\r\nl = list(map(int, input().split(' ')))\r\nfor i in range(2**a):\r\n k = bin(i)[2:]\r\n t = 0\r\n k = '0' * (a-len(k)) + k\r\n x = []\r\n for j in range(a):\r\n if k[j] == '1':\r\n x.append(l[j])\r\n t += 1\r\n \r\n if t >= 2:\r\n if b <= sum(x) = c and max(x) - min(x) >= d:\r\n aa+=1\r\nprint(aa)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have n problems. You have estimated the difficulty of the i-th one as integer c_{i}. Now you want to prepare a problemset for a contest, using some of the problems you've made.\n\n\n\nA problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x.\n\n\n\nFind the number of ways to choose a problemset for the contest.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integers n, l, r, x (1 \u2264 n \u2264 15, 1 \u2264 l \u2264 r \u2264 10^9, 1 \u2264 x \u2264 10^6) \u2014 the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively.\n\n\n\nThe second line contains n integers c_1, c_2, ..., c_{n} (1 \u2264 c_{i} \u2264 10^6) \u2014 the difficulty of each problem.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of ways to choose a suitable problemset for the contest.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Good job! Now that Heidi is able to distinguish between Poisson and uniform distributions, she is in a good position to actually estimate the populations.\n\n\n\nCan you help Heidi estimate each village's population?\n\n\n\n\n\n-----Input-----\n\n\n\nSame as the easy version.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput one line per village, in the same order as provided in the input, containing your (integer) population estimate.\n\n\n\nYour answer is considered correct if it is an integer that falls into the interval $[ \\lfloor 0.95 \\cdot P \\rfloor, \\lceil 1.05 \\cdot P \\rceil ]$, where P is the real population of the village, used to create the distribution (either Poisson or uniform) from which the marmots drew their answers.", "responses": { "v = int(input())\neps = 170\ndef ans(a):\n a.sort()\n if len(a) % 2 == 0:\n med = a[len(a)//2]\n else:\n med = (a[len(a)//2] + a[len(a)//2 - 1]) // 2\n l = med - med // 2\n r = med + med // 2\n c1 = c2 = 0\n for i in a:\n if i >= l and i <= r:\n c1 += 1\n else:\n c2 += 1\n if abs(c1 - c2) <= eps:\n return (med, \"uniform\")\n else:\n return (med, \"poisson\")\n \nfor i in range(v):\n cur = [int(i) for i in input().split()]\n b = ans(cur)\n if b[1] == \"poisson\":\n print(b[0])\n else:\n print((max(cur) - min(cur)) // 2)\n \n ": 1.0, "v = int(input())\neps = 170\ndef ans(a):\n a.sort()\n if len(a) % 2 == 1:\n med = a[len(a)//2]\n else:\n med = (a[len(a)//2] + a[len(a)//2 - 1]) // 2\n l = med - med // 2\n r = med + med // 2\n c1 = c2 = 0\n for i in a:\n if i >= l and i <= r:\n c1 += 1\n else:\n c2 += 1\n if abs(c1 - c2) <= eps:\n return (med, \"uniform\")\n else:\n return (med, \"poisson\")\n \nfor i in range(v):\n cur = [int(i) for i in input().split()]\n b = ans(cur)\n if b[1] == \"poisson\":\n print(b[0])\n else:\n print((max(cur) - min(cur)) // 2)": 0.0, "v = int(input())\neps = 170\ndef ans(a):\n a.sort()\n if len(a) % 2 == 0:\n med = a[len(a)//2]\n else:\n med = (a[len(a)//2] + a[len(a)//2 + 1]) // 2\n l = med - med // 2\n r = med + med // 2\n c1 = c2 = 0\n for i in a:\n if i >= l and i <= r:\n c1 += 1\n else:\n c2 += 1\n if abs(c1 - c2) <= eps:\n return (med, \"uniform\")\n else:\n return (med, \"poisson\")\n \nfor i in range(v):\n cur = [int(i) for i in input().split()]\n b = ans(cur)\n if b[1] == \"poisson\":\n print(b[0])\n else:\n print((max(cur) - min(cur)) // 2)": 0.0, "v = int(input())\neps = 170\ndef ans(a):\n a.sort()\n if len(a) % 2 == 0:\n med = a[len(a)//2]\n else:\n med = (a[len(a)//2] + a[len(a)//2 - 1]) // 3\n l = med - med // 2\n r = med + med // 2\n c1 = c2 = 0\n for i in a:\n if i >= l and i <= r:\n c1 += 1\n else:\n c2 += 1\n if abs(c1 - c2) <= eps:\n return (med, \"uniform\")\n else:\n return (med, \"poisson\")\n \nfor i in range(v):\n cur = [int(i) for i in input().split()]\n b = ans(cur)\n if b[1] == \"poisson\":\n print(b[0])\n else:\n print((max(cur) - min(cur)) // 2)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGood job! Now that Heidi is able to distinguish between Poisson and uniform distributions, she is in a good position to actually estimate the populations.\n\n\n\nCan you help Heidi estimate each village's population?\n\n\n\n\n\n-----Input-----\n\n\n\nSame as the easy version.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput one line per village, in the same order as provided in the input, containing your (integer) population estimate.\n\n\n\nYour answer is considered correct if it is an integer that falls into the interval $[ \\lfloor 0.95 \\cdot P \\rfloor, \\lceil 1.05 \\cdot P \\rceil ]$, where P is the real population of the village, used to create the distribution (either Poisson or uniform) from which the marmots drew their answers.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "An integral:\n\n \n\n\n\n\n\ncan be approximated by the so-called Simpson\u2019s rule:\n\n\n\n\n\n\n\n\n\nHere `h = (b-a)/n`, `n` being an even integer and `a <= b`. \n\n\n\nWe want to try Simpson's rule with the function f:\n\n\n\n\n\n\n\nThe task is to write a function called `simpson` with parameter `n` which returns the value of the integral of f on the interval `[0, pi]` (pi being 3.14159265359...).\n\n## Notes:\n\n- Don't round or truncate your results. See in \"RUN EXAMPLES\" the function `assertFuzzyEquals` or `testing`.\n\n- `n` will always be even.\n\n\n\n- We know that the exact value of the integral of f on the given interval is `2`.\n\n\n\nYou can see: \n\nabout rectangle method and trapezoidal rule.", "responses": { "def simpson(n):\n from math import sin, pi\n \n a = 0\n b = pi\n h = (b - a)/n\n \n f = lambda x: (3/2) * sin(x)**3\n \n integral = 0\n integral += f(a) + f(b)\n integral += 4*sum(f(a +(2*i - 1)*h) for i in range(1, n//2 + 1))\n integral += 2*sum(f(a + 2*i*h) for i in range(1, n//2))\n integral *= h/3\n \n return integral": 1.0, "def simpson(n):\n from math import sin, pi\n \n a = 0\n b = pi\n h = (b - a)/n\n \n f = lambda x: (3/2) * sin(x)**3\n \n integral = 0\n integral += f(a) + f(b)\n integral += 4*sum(f(a +(2*i - 1)*h) for i in range(1, n//2)) # Bug 1\n integral += 2*sum(f(a + 2*i*h) for i in range(1, n//2))\n integral *= h/3\n \n return integral": 0.0, "def simpson(n):\n from math import sin, pi\n \n a = 0\n b = pi\n h = (b - a)/n\n \n f = lambda x: (3/2) * sin(x)**3 + 1 # Bug 2\n \n integral = 0\n integral += f(a) + f(b)\n integral += 4*sum(f(a +(2*i - 1)*h) for i in range(1, n//2 + 1))\n integral += 2*sum(f(a + 2*i*h) for i in range(1, n//2))\n integral *= h/3\n \n return integral": 0.0, "def simpson(n):\n from math import sin, pi\n \n a = 0\n b = pi\n h = (b - a)/n\n \n f = lambda x: (3/2) * sin(x)**3\n \n integral = 0\n integral += f(a) + f(b)\n integral += 4*sum(f(a +(2*i - 1)*h) for i in range(1, n//2 + 1))\n integral += 2*sum(f(a + i*h) for i in range(1, n//2)) # Bug 3\n integral *= h/3\n \n return integral": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAn integral:\n\n \n\n\n\n\n\ncan be approximated by the so-called Simpson\u2019s rule:\n\n\n\n\n\n\n\n\n\nHere `h = (b-a)/n`, `n` being an even integer and `a <= b`. \n\n\n\nWe want to try Simpson's rule with the function f:\n\n\n\n\n\n\n\nThe task is to write a function called `simpson` with parameter `n` which returns the value of the integral of f on the interval `[0, pi]` (pi being 3.14159265359...).\n\n## Notes:\n\n- Don't round or truncate your results. See in \"RUN EXAMPLES\" the function `assertFuzzyEquals` or `testing`.\n\n- `n` will always be even.\n\n\n\n- We know that the exact value of the integral of f on the given interval is `2`.\n\n\n\nYou can see: \n\nabout rectangle method and trapezoidal rule.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given n \u00d7 m table. Each cell of the table is colored white or black. Find the number of non-empty sets of cells such that:\n\n\n\n All cells in a set have the same color. Every two cells in a set share row or column. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains integers n and m (1 \u2264 n, m \u2264 50)\u00a0\u2014 the number of rows and the number of columns correspondingly.\n\n\n\nThe next n lines of input contain descriptions of rows. There are m integers, separated by spaces, in each line. The number equals 0 if the corresponding cell is colored white and equals 1 if the corresponding cell is colored black.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput single integer \u00a0\u2014 the number of non-empty sets from the problem description.", "responses": { "read = lambda: map(int, input().split())\nn, m = read()\na = [list(read()) for i in range(n)]\nans = n * m\nfor i in range(n):\n cnt0 = a[i].count(0)\n cnt1 = a[i].count(1)\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nfor i in range(m):\n cnt0 = sum(a[j][i] == 0 for j in range(n))\n cnt1 = sum(a[j][i] == 1 for j in range(n))\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nprint(ans)": 1.0, "read = lambda: map(int, input().split())\nn, m = read()\na = [list(read()) for i in range(n)]\nans = n * m\nfor i in range(n):\n cnt0 = a[i].count(0)\n cnt1 = a[i].count(1)\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nfor i in range(m):\n cnt0 = sum(a[j][i] == 0 for j in range(n))\n cnt1 = sum(a[j][i] == 1 for j in range(n))\n if cnt0 > 1: ans += (2 * cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nprint(ans)": 0.0, "read = lambda: map(int, input().split())\nn, m = read()\na = [list(read()) for i in range(n)]\nans = n * m\nfor i in range(n):\n cnt0 = a[i].count(0)\n cnt1 = a[i].count(1)\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nfor i in range(m):\n cnt0 = sum(a[j][i] == 0 for j in range(n))\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\nprint(ans)": 0.0, "read = lambda: map(int, input().split())\nn, m = read()\na = [list(read()) for i in range(n)]\nans = n * m\nfor i in range(n):\n cnt0 = a[i].count(0)\n cnt1 = a[i].count(1)\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 ** cnt1 - cnt1 - 1)\nfor i in range(m):\n cnt0 = sum(a[j][i] == 0 for j in range(n))\n cnt1 = sum(a[j][i] == 1 for j in range(n))\n if cnt0 > 1: ans += (2 ** cnt0 - cnt0 - 1)\n if cnt1 > 1: ans += (2 * cnt1 - cnt1 - 1)\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given n \u00d7 m table. Each cell of the table is colored white or black. Find the number of non-empty sets of cells such that:\n\n\n\n All cells in a set have the same color. Every two cells in a set share row or column. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains integers n and m (1 \u2264 n, m \u2264 50)\u00a0\u2014 the number of rows and the number of columns correspondingly.\n\n\n\nThe next n lines of input contain descriptions of rows. There are m integers, separated by spaces, in each line. The number equals 0 if the corresponding cell is colored white and equals 1 if the corresponding cell is colored black.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput single integer \u00a0\u2014 the number of non-empty sets from the problem description.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an undirected weighted graph of\u00a0n\u00a0nodes (0-indexed), represented by an edge list where\u00a0edges[i] = [a, b]\u00a0is an undirected edge connecting the nodes\u00a0a\u00a0and\u00a0b\u00a0with a probability of success of traversing that edge\u00a0succProb[i].\n\nGiven two nodes\u00a0start\u00a0and\u00a0end, find the path with the maximum probability of success to go from\u00a0start\u00a0to\u00a0end\u00a0and return its success probability.\n\nIf there is no path from\u00a0start\u00a0to\u00a0end, return\u00a00. Your answer will be accepted if it differs from the correct answer by at most 1e-5.", "responses": { "class Solution:\n def maxProbability(self, n: int, edges: List[List[int]], probs: List[float], s: int, t: int) -> float:\n # first build the graph\n graph = {u: {} for u in range(n)}\n for (u, v), prob in zip(edges, probs):\n graph[u][v] = prob\n graph[v][u] = prob\n # run A* search\n frontier = [(-1, s)]\n seen = set()\n while len(frontier) != 0:\n neg_path_prob, u = heapq.heappop(frontier)\n if u == t:\n return -neg_path_prob\n seen.add(u)\n for v, edge_prob in graph[u].items():\n if v not in seen:\n heapq.heappush(frontier, (neg_path_prob * edge_prob, v))\n return 0": 1.0, "class Solution:\n def twoSum(self, nums: List[int], target: int) -> List[int]:\n num_dict = {}\n for i, num in enumerate(nums):\n complement = target - num\n if num in num_dict:\n return [num_dict[complement], i]\n num_dict[num] = i\n return []": 0.0, "class Solution:\n def twoSum(self, nums: List[int], target: int) -> List[int]:\n num_dict = {}\n for i, num in enumerate(nums):\n complement = target - num\n if complement in num_dict:\n return [num_dict[complement]]\n num_dict[num] = i\n return []": 0.0, "class Solution:\n def twoSum(self, nums: List[int], target: int) -> List[int]:\n num_dict = {}\n for i, num in enumerate(nums):\n complement = target - num\n if complement not in num_dict:\n return [num_dict[complement], i]\n num_dict[num] = i\n return []": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an undirected weighted graph of\u00a0n\u00a0nodes (0-indexed), represented by an edge list where\u00a0edges[i] = [a, b]\u00a0is an undirected edge connecting the nodes\u00a0a\u00a0and\u00a0b\u00a0with a probability of success of traversing that edge\u00a0succProb[i].\n\nGiven two nodes\u00a0start\u00a0and\u00a0end, find the path with the maximum probability of success to go from\u00a0start\u00a0to\u00a0end\u00a0and return its success probability.\n\nIf there is no path from\u00a0start\u00a0to\u00a0end, return\u00a00. Your answer will be accepted if it differs from the correct answer by at most 1e-5.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers A, a move consists of choosing any A[i], and incrementing it by 1.\n\nReturn the least number of moves to make every value in A unique.", "responses": { "class Solution:\n def minIncrementForUnique(self, A: List[int]) -> int:\n if not A:\n return 0\n \n A.sort()\n prev = A[0]\n res = 0\n for num in A[1:]:\n if num <= prev:\n prev += 1\n res += prev-num\n else:\n prev = num\n \n return res": 1.0, "class Solution:\n def minIncrementForUnique(self, A: List[int]) -> int:\n if not A:\n return 0\n \n A.sort()\n prev = A[0]\n res = 0\n for num in A[1:]:\n if num <= prev:\n prev += 1\n res += prev-num\n else:\n prev = num\n res # forgot to update the result\n \n return res": 0.0, "class Solution:\n def minIncrementForUnique(self, A: List[int]) -> int:\n if not A:\n return 0\n \n A.sort()\n prev = A[0]\n res = 0\n for num in A[4:]: # iterating over wrong part of the array\n if num <= prev:\n prev += 1\n res += prev-num\n else:\n prev = num\n \n return res": 0.0, "class Solution:\n def minIncrementForUnique(self, A: List[int]) -> int:\n if not A:\n return 0\n \n A.sort()\n prev = A[0]\n res = 0\n for num in A[1:]:\n if num <= prev:\n prev += 2 # incrementing by 2 instead of 1\n res += prev-num\n else:\n prev = num\n \n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers A, a move consists of choosing any A[i], and incrementing it by 1.\n\nReturn the least number of moves to make every value in A unique.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array\u00a0arr, remove a\u00a0subarray (can be empty) from\u00a0arr\u00a0such that the remaining elements in arr\u00a0are non-decreasing.\n\nA subarray is a contiguous\u00a0subsequence of the array.\n\nReturn\u00a0the length of the shortest subarray to remove.", "responses": { "class Solution:\n def findLengthOfShortestSubarray(self, arr: List[int]) -> int:\n n = len(arr)\n if n<=1: \n return 0\n l,r = n,-1\n \n for i in range(1,n):\n if arr[i]arr[j+1]:\n r = j\n break\n \n # you can delete all to the left of r (including r)\n # you can also delete all to the right of l (including l)\n ans = min(r+1,n-l)\n \n i = 0\n # sliding window, find the rightmost i for each j\n # note at all time i must be less than l\n for j in range(r+1,n):\n while i int:\n n = len(arr)\n if n<=1: \n return 0\n l,r = n,-1\n \n for i in range(1,n):\n if arr[i]<=arr[i-1]: # Bug: changed `<` to `<=`\n l = i\n break\n # monotonicially increasing\n if l == n: return 0\n \n for j in range(n-2,-1,-1):\n if arr[j]>arr[j+1]:\n r = j\n break\n \n # you can delete all to the left of r (including r)\n # you can also delete all to the right of l (including l)\n ans = min(r+1,n-l)\n \n i = 0\n # sliding window, find the rightmost i for each j\n # note at all time i must be less than l\n for j in range(r+1,n):\n while i int:\n n = len(arr)\n if n<=1: \n return 0\n l,r = n,-1\n \n for i in range(1,n):\n if arr[i]arr[j+1]:\n r = j\n break\n \n # you can delete all to the left of r (including r)\n # you can also delete all to the right of l (including l)\n ans = min(r+1,n-l)\n \n i = 0\n # sliding window, find the rightmost i for each j\n # note at all time i must be less than l\n for j in range(r+1,n):\n while i int:\n n = len(arr)\n if n<=1: \n return 0\n l,r = n,-2 # Bug: changed `-1` to `-2`\n \n for i in range(1,n):\n if arr[i]arr[j+1]:\n r = j\n break\n \n # you can delete all to the left of r (including r)\n # you can also delete all to the right of l (including l)\n ans = min(r+1,n-l)\n \n i = 0\n # sliding window, find the rightmost i for each j\n # note at all time i must be less than l\n for j in range(r+1,n):\n while i int:\n \n counter = Counter(arr)\n size = len(arr)\n \n # unique elements (remove half of them)\n if len(counter) == size:\n return (size - 1) // 2 + 1\n \n max_heap = [(-freq, value) for value, freq in list(counter.items())]\n heapify(max_heap)\n \n removed = 0 # number of elements removed\n removed_size = 0 # size of the remvoved set\n \n while removed < size//2:\n count, value = heappop(max_heap)\n count = -count # change the count back to +ve\n removed += count\n removed_size += 1\n \n return removed_size\n \n ": 1.0, "from heapq import *\nfrom collections import Counter\nclass Solution:\n def minSetSize(self, arr: List[int]) -> int:\n \n counter = Counter(arr)\n size = len(arr)\n \n # unique elements (remove half of them)\n if len(counter) == size:\n return (size - 1) // 2 + 1\n \n max_heap = [(-freq, value) for value, freq in list(counter.items())]\n heapify(max_heap)\n \n old_removal = removed = 0 # number of elements removed\n removed_size = 0 # size of the remvoved set\n \n while removed < size//2:\n count, value = heappop(max_heap)\n count = -count # change the count back to +ve\n removed += count\n removed_size += 1 if count not in old_removal else 0\n \n \n return removed_size": 0.0, "from heapq import *\nfrom collections import Counter\nclass Solution:\n def minSetSize(self, arr: List[int]) -> int:\n \n counter = Counter(arr)\n size = len(arr)\n \n # unique elements (remove half of them)\n if len(counter) == size:\n return (size - 1) // 2 + 1\n \n max_heap = [(-freq, value) for value, freq in list(counter.items())]": 0.0, "from heapq import *\nfrom collections import Counter\nclass Solution:\n def minSetSize(self, arr: List[int]) -> int:\n \n counter = Counter(arr)\n size = float(len(arr)) # conversion error here\n \n # unique elements (remove half of them)\n if len(counter) == size:\n return (size - 1) // 2 + 1\n \n max_heap = [(-freq, value) for value, freq in list(counter.items())]\n heapify(max_heap)\n \n removed = 0 # number of elements removed\n removed_size = 0 # size of the remvoved set\n \n while removed < size//2:\n count, value = heappop(max_heap)\n count = -count # change the count back to +ve\n removed += count\n removed_size += 1 \n \n return removed_size": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array arr.\u00a0 You can choose a set of integers and remove all the occurrences of these integers in the array.\n\nReturn the minimum size of the set so that at least half of the integers of the array are removed.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.\n\n\n\nThe calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.\n\n\n\nNote that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (https://en.wikipedia.org/wiki/Leap_year).\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains integer y (1000 \u2264 y < 100'000) \u2014 the year of the calendar.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer y' \u2014 the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.", "responses": { "def iswis(a):\n\treturn a % 400 == 0 or (a%100!= 0 and a %4==0)\nn = int(input())\nwis = iswis(n)\nfr = 0;\nn += 1\nif (wis):\n\tfr += 1\nfr += 1\nwhile (iswis(n) != wis or fr != 0):\n\tif (iswis(n)):\n\t\tfr += 1\n\tfr += 1\n\tfr %= 7\n\tn += 1\nprint(n)": 1.0, "def is_leap_year(a):\n\treturn a % 400 == 0 or (a%100 !=0 and a%4 == 0)\nn = int(input())\nis_leap = is_leap_year(n)\nfr = 0;\nn += 1\nif is_leap:\n\tfr += 1\nfr += 1\nwhile (is_leap_year(n) != is_leap or fr != 0):\n\tif (is_leap_year(n)):\n\t\tfr += 1\n\tfr += 1\n\tfr %= 6\n\tn += 1\nprint(n)": 0.0, "def is_leap_year(a):\n\treturn a % 400 == 0 or (a%100 !=0 and a%4 == 0)\nn = int(input())\nis_leap = is_leap_year(n)\nfr = 0;\nn += 1\nif is_leap:\n\tfr += 1\nfr += 1\nwhile (is_leap_year(n) != is_leap or fr != 1):\n\tif (is_leap_year(n)):\n\t\tfr += 1\n\tfr -= 1\n\tfr %= 7\n\tn += 1\nprint(n)": 0.0, "def is_leap_year(a):\n\treturn a % 400 == 0 or (a%100 !=1 and a%4 == 0)\nn = int(input())\nis_leap = is_leap_year(n)\nfr = 0;\nn += 1\nif is_leap:\n\tfr += 1\nfr -= 1\nwhile (is_leap_year(n) != is_leap or fr != 0):\n\tif (is_leap_year(n)):\n\t\tfr += 1\n\tfr += 1\n\tfr %= 7\n\tn += 1\nprint(n)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.\n\n\n\nThe calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.\n\n\n\nNote that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (https://en.wikipedia.org/wiki/Leap_year).\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains integer y (1000 \u2264 y < 100'000) \u2014 the year of the calendar.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer y' \u2014 the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Cucumber boy is fan of Kyubeat, a famous music game.\n\n\n\nKyubeat has 16 panels for playing arranged in 4 \u00d7 4 table. When a panel lights up, he has to press that panel.\n\n\n\nEach panel has a timing to press (the preffered time when a player should press it), and Cucumber boy is able to press at most k panels in a time with his one hand. Cucumber boy is trying to press all panels in perfect timing, that is he wants to press each panel exactly in its preffered time. If he cannot press the panels with his two hands in perfect timing, his challenge to press all the panels in perfect timing will fail.\n\n\n\nYou are given one scene of Kyubeat's panel from the music Cucumber boy is trying. Tell him is he able to press all the panels in perfect timing.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer k (1 \u2264 k \u2264 5) \u2014 the number of panels Cucumber boy can press with his one hand.\n\n\n\nNext 4 lines contain 4 characters each (digits from 1 to 9, or period) \u2014 table of panels. If a digit i was written on the panel, it means the boy has to press that panel in time i. If period was written on the panel, he doesn't have to press that panel.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\" (without quotes), if he is able to press all the panels in perfect timing. If not, output \"NO\" (without quotes).", "responses": { "k=int(input())\nL={}\ns=\".123456789\"\nfor item in s:\n L[item]=0\nfor i in range(4):\n s=input()\n for item in s:\n L[item]+=1\ns=\"123456789\"\ndone=True\nfor item in s:\n if(L[item]>2*k):\n print(\"NO\")\n done=False\n break\nif(done):\n print(\"YES\")": 1.0, "k=int(input())\nL={}\ns=\".123456789\"\nfor item in s:\n L[item]=0\nfor i in range(4):\n s=input()\n for item in s:\n L[item]+=1\ns=\"abcdefghi\" # Incorrect variable name\ndone=True\nfor item in s:\n if(L[item]>2*k):\n print(\"NO\")\n done=False\n break\nif(done):\n print(\"YES\")": 0.0, "k=int(input())\nL={}\ns=\".123456789\"\nfor item in s:\n L[item]=0\nfor i in range(4):\n s=input()\n for item in s:\n L[item]+=1\ns=\"123456789\"\ndone=True\nfor item in s:\n if(L[item]>2*k):\n print() # Missing arguments in print statement\n done=False\n break\nif(done):\n print(\"YES\")": 0.0, "k=input() # Taking input as string instead of integer\nL={}\ns=\".123456789\"\nfor item in s:\n L[item]=0\nfor i in range(4):\n s=input()\n for item in s:\n L[item]+=1\ns=\"123456789\"\ndone=True\nfor item in s:\n if(L[item]>2*k):\n print(\"NO\")\n done=False\n break\nif(done):\n print(\"YES\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCucumber boy is fan of Kyubeat, a famous music game.\n\n\n\nKyubeat has 16 panels for playing arranged in 4 \u00d7 4 table. When a panel lights up, he has to press that panel.\n\n\n\nEach panel has a timing to press (the preffered time when a player should press it), and Cucumber boy is able to press at most k panels in a time with his one hand. Cucumber boy is trying to press all panels in perfect timing, that is he wants to press each panel exactly in its preffered time. If he cannot press the panels with his two hands in perfect timing, his challenge to press all the panels in perfect timing will fail.\n\n\n\nYou are given one scene of Kyubeat's panel from the music Cucumber boy is trying. Tell him is he able to press all the panels in perfect timing.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer k (1 \u2264 k \u2264 5) \u2014 the number of panels Cucumber boy can press with his one hand.\n\n\n\nNext 4 lines contain 4 characters each (digits from 1 to 9, or period) \u2014 table of panels. If a digit i was written on the panel, it means the boy has to press that panel in time i. If period was written on the panel, he doesn't have to press that panel.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\" (without quotes), if he is able to press all the panels in perfect timing. If not, output \"NO\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a permutation p_1,p_2,...,p_N consisting of 1,2,..,N.\n\nYou can perform the following operation any number of times (possibly zero):\n\nOperation: Swap two adjacent elements in the permutation.\n\nYou want to have p_i \u2260 i for all 1\u2264i\u2264N.\n\nFind the minimum required number of operations to achieve this.\n\n\n\n-----Constraints-----\n\n - 2\u2264N\u226410^5\n\n - p_1,p_2,..,p_N is a permutation of 1,2,..,N.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\np_1 p_2 .. p_N\n\n\n\n-----Output-----\n\nPrint the minimum required number of operations\n\n\n\n-----Sample Input-----\n\n5\n\n1 4 3 5 2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nSwap 1 and 4, then swap 1 and 3. p is now 4,3,1,5,2 and satisfies the condition.\n\nThis is the minimum possible number, so the answer is 2.", "responses": { "import sys\ninput = sys.stdin.readline\nfrom collections import deque\ndef read():\n N = int(input().strip())\n P = list(map(int, input().strip().split()))\n return N, P\ndef solve(N, P):\n ans = 0\n p = deque(P)\n q = deque()\n q.append(p.popleft())\n for i in range(1, N):\n if i == q[-1]:\n c = q.pop()\n q.append(p.popleft())\n q.append(c)\n ans += 1\n else:\n q.append(p.popleft())\n if q[-1] == N:\n c = q.pop()\n d = q.pop()\n q.append(c)\n q.append(d)\n ans += 1\n return ans\ndef __starting_point():\n inputs = read()\n print((solve(*inputs)))\n__starting_point()": 1.0, "import sys\ninput = sys.stdin.readline\nfrom collections import deque\ndef read():\n N = int(input().strip())\n P = list(map(int, input().strip().split()))\n return N, P\ndef solve(N, P):\n ans = 0\n p = deque(P)\n q = deque()\n q.append(p.popleft())\n for i in range(1, N):\n if i == q[-1]:\n c = q.pop()\n q.append(p.popleft())\n q.append(c)\n ans += 1\n else:\n q.append(p.popleft())\n if q[-1] == N:\n c = q.pop()\n d = q.pop()\n q.append(d)\n q.append(c)\n ans += 1\n return ans\ndef __starting_point():\n inputs = read()\n print((solve(*inputs)))\n__starting_point()": 0.0, "import sys\ninput = sys.stdin.readline\nfrom collections import deque\ndef read():\n N = int(input().strip())\n P = list(map(int, input().strip().split()))\n return N, P\ndef solve(N, P):\n ans = 0\n p = deque(P)\n q = deque()\n # Swap the following two lines\n q.append(p.popleft())\n #q.append(p.popleft())\n for i in range(1, N):\n if i == q[-1]:\n c = q.pop()\n q.append(p.popleft())\n q.append(c)\n ans += 1\n else:\n q.append(p.popleft())\n if q[-1] == N:\n c = q.pop()\n d = q.pop()\n q.append(c)\n q.append(d)\n ans += 1\n return ans\ndef __starting_point():\n inputs = read()\n print((solve(*inputs)))\n__starting_point()": 0.0, "import sys\ninput = sys.stdin.readline\nfrom collections import deque\ndef read():\n N = int(input().strip())\n P = list(map(int, input().strip().split()))\n return N, P\ndef solve(N, P):\n ans = 0\n p = deque(P)\n q = deque()\n q.append(p.popleft())\n for i in range(1, N):\n if i == q[-1]:\n c = q.pop()\n q.appendleft(p.popleft())\n q.append(c)\n ans += 1\n else:\n q.append(p.popleft())\n if q[-1] == N:\n c = q.pop()\n d = q.pop()\n q.append(c)\n q.append(d)\n ans += 1\n return ans\ndef __starting_point():\n inputs = read()\n print((solve(*inputs)))\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a permutation p_1,p_2,...,p_N consisting of 1,2,..,N.\n\nYou can perform the following operation any number of times (possibly zero):\n\nOperation: Swap two adjacent elements in the permutation.\n\nYou want to have p_i \u2260 i for all 1\u2264i\u2264N.\n\nFind the minimum required number of operations to achieve this.\n\n\n\n-----Constraints-----\n\n - 2\u2264N\u226410^5\n\n - p_1,p_2,..,p_N is a permutation of 1,2,..,N.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\np_1 p_2 .. p_N\n\n\n\n-----Output-----\n\nPrint the minimum required number of operations\n\n\n\n-----Sample Input-----\n\n5\n\n1 4 3 5 2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nSwap 1 and 4, then swap 1 and 3. p is now 4,3,1,5,2 and satisfies the condition.\n\nThis is the minimum possible number, so the answer is 2.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is\u00a0a sale in a supermarket, there will be a discount every n customer.\n\nThere are some products in the supermarket where the id of the i-th product is products[i] and the price per unit of this product is\u00a0prices[i].\n\nThe system will count the number of customers and when the n-th customer arrive he/she will have a discount on the bill. (i.e if the cost is x the new cost is x - (discount * x) / 100). Then the system will start counting customers again.\n\nThe customer orders a certain amount of each product where product[i] is the id of the i-th product the customer ordered and amount[i] is the number of units the customer ordered of that product.\n\nImplement the Cashier class:\n\n\n\nCashier(int n, int discount, int[] products, int[] prices) Initializes the object with n, the discount, the products\u00a0and their prices.\n\ndouble\u00a0getBill(int[] product, int[] amount)\u00a0returns the value of the bill and apply the discount if needed. Answers within 10^-5 of the actual value will be accepted as correct.", "responses": { "class Cashier:\n def __init__(self, n: int, discount: int, products: List[int], prices: List[int]):\n \n self.n = n\n self.count = 0\n self.discount = discount\n self.products = {}\n \n for i in range(0, len(products)):\n \n self.products[products[i]] = prices[i]\n def getBill(self, product: List[int], amount: List[int]) -> float:\n \n self.count += 1\n \n subtotal = 0\n \n for i in range(0, len(product)):\n \n subtotal += self.products[product[i]] * amount[i]\n \n if self.count == self.n:\n \n subtotal = subtotal - (self.discount * subtotal) / 100\n self.count = 0\n \n return subtotal": 1.0, "```python\nclass Cashier:\n def __init__(self, n: int, discount: int, products: List[int], prices: List[int]):\n self.n = n\n self.count = 0\n self.discount = discount\n self.products = {}\n \n for i in range(0, len(products)):\n self.products[products[i]] = prices[i]\n\n def getBill(self, product: List[int], amount: List[int]) -> float:\n self.count += 1\n \n subtotal = 0\n \n for i in range(0, len(product)):\n subtotal += self.products[product[i]] * amount[i]\n \n if self.count == self.n:\n subtotal = subtotal - (self.discount * subtotal) / 100\n self.count = 0\n \n return subtotal +\n```": 0.0, "```python\nclass Cashier:\n def __init__(self, n: int, discount: int, products: List[int], prices: List[int]):\n self.n = n\n self.count = 0\n self.discount = discount\n self.products = {}\n \n for i in range(0, len(products)):\n self.products[products[i]] = prices[i]\n\n def getBill(self, product: List[int], amount: List[int]) -> float:\n self.count += 1\n \n subtotal = 0\n \n for i in range(0, len(product)):\n subtotal += self.products[product[i]] * amount[i]\n \n if self.count == self.n:\n subtotal = subtotal - (self.discount * subtotal) / 100\n self.count = 0\n \n return subtotal * 2\n```": 0.0, "```python\nclass Cashier:\n def __init__(self, n: int, discount: int, products: List[int], prices: List[int]):\n self.n = n\n self.count = 0\n self.discount = discount\n self.products = {}\n \n for i in range(0, len(products)):\n self.products[products[i]] = prices[i]\n\n def getBill(self, product: List[int], amount: List[int]) -> float:\n self.count += 1\n \n subtotal = 0\n \n for i in range(0, len(product)):\n subtotal += self.products[product[i]] * amount[i]\n \n if self.count == self.n:\n subtotal = subtotal - (self.discount * subtotal) / 100\n self.count = 0\n \n return subtotal - 10\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is\u00a0a sale in a supermarket, there will be a discount every n customer.\n\nThere are some products in the supermarket where the id of the i-th product is products[i] and the price per unit of this product is\u00a0prices[i].\n\nThe system will count the number of customers and when the n-th customer arrive he/she will have a discount on the bill. (i.e if the cost is x the new cost is x - (discount * x) / 100). Then the system will start counting customers again.\n\nThe customer orders a certain amount of each product where product[i] is the id of the i-th product the customer ordered and amount[i] is the number of units the customer ordered of that product.\n\nImplement the Cashier class:\n\n\n\nCashier(int n, int discount, int[] products, int[] prices) Initializes the object with n, the discount, the products\u00a0and their prices.\n\ndouble\u00a0getBill(int[] product, int[] amount)\u00a0returns the value of the bill and apply the discount if needed. Answers within 10^-5 of the actual value will be accepted as correct.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "At the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite set of Picks.\n\n\n\nFortunately, Picks remembers something about his set S: its elements were distinct integers from 1 to limit; the value of $\\sum_{x \\in S} \\text{lowbit}(x)$ was equal to sum; here lowbit(x) equals 2^{k} where k is the position of the first one in the binary representation of x. For example, lowbit(10010_2) = 10_2, lowbit(10001_2) = 1_2, lowbit(10000_2) = 10000_2 (binary representation). \n\n\n\nCan you help Picks and find any set S, that satisfies all the above conditions?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers: sum, limit (1 \u2264 sum, limit \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print an integer n (1 \u2264 n \u2264 10^5), denoting the size of S. Then print the elements of set S in any order. If there are multiple answers, print any of them.\n\n\n\nIf it's impossible to find a suitable set, print -1.", "responses": { "(a, b), x, y = list(map(int, input().split())), [], 0\ndef bin(s):\n return str(s) if s <= 1 else bin(s >> 1) + str(s & 1)\ndef lowbit(s):\n return int('1' + bin(s).split('1')[-1], 2)\nfor i in reversed(range(b + 1)):\n if y == a:\n break\n if a >= y + lowbit(i):\n x.append(i) \n y += lowbit(i)\nif y == a:\n print( len(x) )\n print( ' '.join(str(i) for i in x) )\nelse:\n print( -1 )": 1.0, "(a,b),x,y = list(map(int,input().split())),[],0\ndef bin(s):\n return str(s) if s <= 1 else bin(s>>1) + str(s&1)\ndef lowbit(s):\n return int(\"1\"+bin(s).split(\"1\")[-1],2),\nfor i in reversed(range(b + 1)):\n if y==a:\n break\n if a>=y+lowbit(i):\n x.append(i)\n y+=lowbit(i)\nif y ==a:\n print(len(x))\n print(\" \".join(str(i)for i in x))\nelse:\n print(-1)": 0.0, "(a,b),x,y = list(map(int,input().split())),[],0\ndef bin(s):\n return str(s) if s <= 1 else bin(s>>1) + str(s&1)\ndef lowbit(s):\n return int(\"1\"+bin(s).split(\"1\")[-1],2)\nfor i in reversed(range(b)):\n if y==a:\n break\n if a>=y+lowbit(i):\n x.append(i)\n y+=lowbit(i)\nif y ==a:\n print(len(x))\n print(\" \".join(str(i)for i in x))\nelse:\n print(-1)": 0.0, "(a,b),x,y = list(map(int,input().split())),[],0\ndef bin(s):\n return str(s) if s <= 1 else bin(s>>1) + str(s&1)\ndef lowbit(s):\n return int(\"1\"+bin(s).split(\"1\")[-1])\nfor i in reversed(range(b + 1)):\n if y==a:\n break\n if a>=y+lowbit(i):\n x.append(i)\n y+=lowbit(i)\nif y ==a:\n print(len(x))\n print(\" \".join(str(i)for i in x))\nelse:\n print(-1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAt the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite set of Picks.\n\n\n\nFortunately, Picks remembers something about his set S: its elements were distinct integers from 1 to limit; the value of $\\sum_{x \\in S} \\text{lowbit}(x)$ was equal to sum; here lowbit(x) equals 2^{k} where k is the position of the first one in the binary representation of x. For example, lowbit(10010_2) = 10_2, lowbit(10001_2) = 1_2, lowbit(10000_2) = 10000_2 (binary representation). \n\n\n\nCan you help Picks and find any set S, that satisfies all the above conditions?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers: sum, limit (1 \u2264 sum, limit \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print an integer n (1 \u2264 n \u2264 10^5), denoting the size of S. Then print the elements of set S in any order. If there are multiple answers, print any of them.\n\n\n\nIf it's impossible to find a suitable set, print -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a pattern and a string str, find if str follows the same pattern.\n\n\n\nHere follow means a full match, such that there is a bijection between a letter in pattern and a non-empty word in str.", "responses": { "class Solution:\n def wordPattern(self, pattern, str):\n \"\"\"\n :type pattern: str\n :type str: str\n :rtype: bool\n \"\"\"\n # d['a'] = word\n #pattern_arr = list(pattern)\n str_arr = str.split()\n pattern_dict = {}\n str_dict = {}\n \n pattern_tokenize = []\n token_p = 0\n \n str_tokenize = []\n token_s = 0\n \n for char in pattern:\n if char not in list(pattern_dict.keys()):\n pattern_dict[char] = token_p\n token_p += 1\n pattern_tokenize.append(token_p)\n else:\n pattern_tokenize.append(pattern_dict[char])\n \n for word in str_arr:\n if word not in list(str_dict.keys()):\n str_dict[word] = token_s\n token_s += 1\n str_tokenize.append(token_s)\n else:\n str_tokenize.append(str_dict[word])\n \n return (pattern_tokenize == str_tokenize)\n \n ": 1.0, "class Solution:\n def wordPattern(self, pattern, str):\n \"\"\"\n :type pattern: str\n :type str: str\n :rtype: bool\n \"\"\"\n d = {} # This line is missing\n\n pattern_arr = list(pattern)\n str_arr = str.split()\n pattern_dict = {}\n str_dict = {}\n\n pattern_tokenize = []\n token_p = 0\n\n str_tokenize = []\n token_s = 0\n\n for char in pattern:\n if char not in list(pattern_dict.keys()):\n pattern_dict[char] = token_p\n token_p += 1\n pattern_tokenize.append(token_p)\n else:\n pattern_tokenize.append(pattern_dict[char])\n\n for word in str_arr:\n if word not in list(str_dict.keys()):\n str_dict[word] = token_s\n token_s += 1\n str_tokenize.append(token_s)\n else:\n str_tokenize.append(str_dict[word])\n\n return (pattern_tokenize == str_tokenize)": 0.0, "class Solution:\n def wordPattern(self, pattern, str):\n \"\"\"\n :type pattern: str\n :type str: str\n :rtype: bool\n \"\"\"\n # d['a'] = word\n pattern_arr = list(pattern) # This line is commented out\n str_arr = str.split()\n pattern_dict = {}\n str_dict = {}\n\n pattern_tokenize = []\n token_p = 0\n\n str_tokenize = []\n token_s = 0\n\n for char in pattern:\n if char not in list(pattern_dict.keys()):\n pattern_dict[char] = token_p\n token_p += 1\n pattern_tokenize.append(token_p)\n else:\n pattern_tokenize.append(pattern_dict[char])\n\n for word in str_arr:\n if word not in list(str_dict.keys()):\n str_dict[word] = token_s\n token_s += 1\n str_tokenize.append(token_s)\n else:\n str_tokenize.append(str_dict[word])\n\n return (pattern_tokenize == str_tokenize)": 0.0, "class Solution:\n def wordPattern(self, pattern, str):\n \"\"\"\n :type pattern: str\n :type str: str\n :rtype: bool\n \"\"\"\n # d['a'] = word\n pattern_arr = list(pattern)\n str_arr = str.split()\n pattern_dict = {}\n str_dict = {}\n\n pattern_tokenize = []\n token_p = 0\n\n str_tokenize = []\n token_s = 0\n\n for char in pattern:\n if char not in list(pattern_dict.keys()):\n pattern_dict[char] = token_p\n token_p += 1\n pattern_tokenize.append(token_p)\n else:\n pattern_tokenize.append(pattern_dict[char])\n\n for word in str_arr:\n if word in list(pattern_dict.keys()): # This line should be checking str_dict instead of pattern_dict\n str_dict[word] = token_s\n token_s += 1\n str_tokenize.append(token_s)\n else:\n str_tokenize.append(str_dict[word])\n\n return (pattern_tokenize == str_tokenize)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a pattern and a string str, find if str follows the same pattern.\n\n\n\nHere follow means a full match, such that there is a bijection between a letter in pattern and a non-empty word in str.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Volodya likes listening to heavy metal and (occasionally) reading. No wonder Volodya is especially interested in texts concerning his favourite music style.\n\n\n\nVolodya calls a string powerful if it starts with \"heavy\" and ends with \"metal\". Finding all powerful substrings (by substring Volodya means a subsequence of consecutive characters in a string) in a given text makes our hero especially joyful. Recently he felt an enormous fit of energy while reading a certain text. So Volodya decided to count all powerful substrings in this text and brag about it all day long. Help him in this difficult task. Two substrings are considered different if they appear at the different positions in the text.\n\n\n\nFor simplicity, let us assume that Volodya's text can be represented as a single string.\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains a single non-empty string consisting of the lowercase Latin alphabet letters. Length of this string will not be greater than 10^6 characters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint exactly one number \u2014 the number of powerful substrings of the given string.\n\n\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.", "responses": { "s=input()\nans=0\ns=s.replace(\"heavy\",\"1\")\ns=s.replace(\"metal\",\"2\")\nheavy=[]\nmetal=[]\nn=len(s)\nfor i in range(n):\n if(s[i]==\"1\"):\n heavy.append(i)\n elif(s[i]==\"2\"):\n metal.append(i)\nn=len(heavy)\nnn=len(metal)\nx=0\nl=nn\nfor item in heavy:\n for i in range(x,nn):\n if(metal[i]>item):\n ans+=(nn-i)\n l=i\n break\n x=l;\nprint(ans)": 1.0, "s=input()\nans=0\ns=s.replace(\"heavy\",\"1\")\ns=s.replace(\"metal\",\"\")\nheavy=[]\nmetal=[]\nn=len(s)\nfor i in range(n):\n if(s[i]==\"1\"):\n heavy.append(i)\n elif(s[i]==\"\"):\n metal.append(i)\nn=len(heavy)\nnn=len(metal)\nx=0\nl=nn\nfor item in heavy:\n for i in range(x,nn):\n if(metal[i]>item):\n ans+=(nn-i)\n l=i\n break\n x=l;\nprint(ans)": 0.0, "s=input()\nans=0\ns=s.replace(\"heavy\",\"\")\ns=s.replace(\"metal\",\"2\")\nheavy=[]\nmetal=[]\nn=len(s)\nfor i in range(n):\n if(s[i]==\"\"):\n heavy.append(i)\n elif(s[i]==\"2\"):\n metal.append(i)\nn=len(heavy)\nnn=len(metal)\nx=0\nl=nn\nfor item in heavy:\n for i in range(x,nn):\n if(metal[i]>item):\n ans+=(nn-i)\n l=i\n break\n x=l;\nprint(ans)": 0.0, "s=input()\nans=0\ns=s.replace(\"heavy\",\"1\")\ns=s.replace(\"metal\",\"2\")\nheavy=[]\nmetal=[]\nn=len(s)\nfor i in range(n):\n if(s[i]==\"1\"):\n heavy.append(i)\n elif(s[i]==\"\"):\n metal.append(i)\nn=len(heavy)\nnn=len(metal)\nx=0\nl=nn\nfor item in metal:\n for i in range(x,nn):\n if(heavy[i]>item):\n ans+=(nn-i)\n l=i\n break\n x=l;\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nVolodya likes listening to heavy metal and (occasionally) reading. No wonder Volodya is especially interested in texts concerning his favourite music style.\n\n\n\nVolodya calls a string powerful if it starts with \"heavy\" and ends with \"metal\". Finding all powerful substrings (by substring Volodya means a subsequence of consecutive characters in a string) in a given text makes our hero especially joyful. Recently he felt an enormous fit of energy while reading a certain text. So Volodya decided to count all powerful substrings in this text and brag about it all day long. Help him in this difficult task. Two substrings are considered different if they appear at the different positions in the text.\n\n\n\nFor simplicity, let us assume that Volodya's text can be represented as a single string.\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains a single non-empty string consisting of the lowercase Latin alphabet letters. Length of this string will not be greater than 10^6 characters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint exactly one number \u2014 the number of powerful substrings of the given string.\n\n\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string $s$ of length $n$ consisting of lowercase Latin letters. You may apply some operations to this string: in one operation you can delete some contiguous substring of this string, if all letters in the substring you delete are equal. For example, after deleting substring bbbb from string abbbbaccdd we get the string aaccdd.\n\n\n\nCalculate the minimum number of operations to delete the whole string $s$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 500$) \u2014 the length of string $s$.\n\n\n\nThe second line contains the string $s$ ($|s| = n$) consisting of lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer \u2014 the minimal number of operation to delete string $s$.", "responses": { " \nn=int(input())\ns=input()\nN = len(s)\ndp = [[0 for x in range(N + 1)] \n for y in range(N + 1)]\nD = [[[] for x in range(N + 1)] \n for y in range(N + 1)]\nss=\"\"\nre=\"\"\nfor i in range(0,N):\n if re!=s[i]:\n ss+=re\n re=s[i]\nss+=re\na=ss\nN=len(a)\nfor l in range(1, N + 1): \n i = 0\n j = l - 1\n while j < N: \n if (l == 1): \n dp[i][j] = 1\n else: \n dp[i][j] =1+dp[i + 1][j]\n for K in range(i + 1, j + 1): \n if (a[i] == a[K]):\n if dp[i][j]>=dp[i ][K - 1] + dp[K + 1][j]:\n dp[i][j] = dp[i][K - 1] + dp[K + 1][j]\n \n \n i += 1\n j += 1\nprint(dp[0][N-1])": 1.0, "n=int(input())\ns=input()\nN = len(s)\ndp = [[0 for x in range(N + 1)] \n for y in range(N + 1)]\nD = [[[] for x in range(N + 1)] \n for y in range(N + 1)]\nss=\"\"\nre=\"\"\nfor i in range(0,N):\n if re!=s[i]:\n ss+=re\n re=s[i]\nss+=re\na=ss\nN=len(a)\nfor l in range(1, N + 1): \n i = 0\n j = l - 1\n while j < N: \n if (l == 1): \n dp[i][j] = 1\n else: \n dp[i][j] =1+dp[i + 1][j]\n for K in range(i + 1, j + 1): \n if (a[i] != a[K]):\n if dp[i][j]>=dp[i ][K - 1] + dp[K + 1][j]:\n dp[i][j] = dp[i][K - 1] + dp[K + 1][j]\n \n \n i += 1\n j += 1\nprint(dp[0][N-1])": 0.0, "n=int(input())\ns=input()\nN = len(s)\ndp = [[0 for x in range(N + 1)] \n for y in range(N + 1)]\nD = [[[] for x in range(N + 1)] \n for y in range(N + 1)]\nss=\"\"\nre=\"\"\nfor i in range(0,N):\n if re!=s[i]:\n ss+=re\n re=s[i]\nss+=re\na=ss\nN=len(a)\nfor l in range(1, N + 1): \n i = 0\n j = l - 1\n while j < N: \n if (l == 1): \n dp[i][j] = 1\n else: \n dp[i][j] =1+dp[i + 1][j]\n for K in range(i + 1, j + 1): \n if (a[i] == a[K]):\n if dp[i][j]>=dp[i ][K - 1] + dp[K + 1][j]:\n dp[i][j] = dp[i][K - 1] + dp[K + 1][j]\n else:\n if dp[i][j]<=dp[i ][K - 1] + dp[K + 1][j]:\n dp[i][j] = dp[i][K - 1] + dp[K + 1][j]\n \n i += 1\n j += 1\nprint(dp[0][N-1])": 0.0, "n=int(input())\ns=input()\nN = len(s)\ndp = [[0 for x in range(N + 1)] \n for y in range(N + 1)]\nD = [[[] for x in range(N + 1)] \n for y in range(N + 1)]\nss=\"\"\nre=\"\"\nfor i in range(N,0,-1):\n if re!=s[i]:\n ss+=re\n re=s[i]\nss+=re\na=ss\nN=len(a)\nfor l in range(1, N + 1): \n i = 0\n j = l - 1\n while j < N: \n if (l == 1): \n dp[i][j] = 1\n else: \n dp[i][j] =1+dp[i + 1][j]\n for K in range(i + 1, j + 1): \n if (a[i] == a[K]):\n if dp[i][j]>=dp[i ][K - 1] + dp[K + 1][j]:\n dp[i][j] = dp[i][K - 1] + dp[K + 1][j]\n \n i += 1\n j += 1\nprint(dp[0][N-1])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string $s$ of length $n$ consisting of lowercase Latin letters. You may apply some operations to this string: in one operation you can delete some contiguous substring of this string, if all letters in the substring you delete are equal. For example, after deleting substring bbbb from string abbbbaccdd we get the string aaccdd.\n\n\n\nCalculate the minimum number of operations to delete the whole string $s$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 500$) \u2014 the length of string $s$.\n\n\n\nThe second line contains the string $s$ ($|s| = n$) consisting of lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer \u2014 the minimal number of operation to delete string $s$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array of strings\u00a0words\u00a0and a string\u00a0chars.\n\nA string is good\u00a0if\u00a0it can be formed by\u00a0characters from chars\u00a0(each character\u00a0can only be used once).\n\nReturn the sum of lengths of all good strings in words.", "responses": { "class Solution:\n def countCharacters(self, words: List[str], chars: str) -> int:\n d={}\n for i in chars:\n if i in d:\n d[i]+=1\n else:\n d[i]=1\n l=0\n for i in words:\n flag = True\n for j in i:\n if j in d:\n if i.count(j)>d[j]:\n flag=False\n break\n else:\n flag = False\n break\n if flag:\n l+=len(i)\n return l": 1.0, "class Solution:\n def search(self, nums: List[int], target: int) -> int:\n left, right = 0, len(nums) - 1\n while left <= right:\n mid = (left + right) // 2\n if nums[mid] == target:\n return mid\n elif nums[left] <= nums[mid]:\n if nums[mid] <= target <= nums[right]:\n left = mid + 1\n else:\n left = mid - 1\n else:\n if nums[left] <= target <= nums[mid]:\n right = mid - 1\n else:\n right = mid + 1\n return -1": 0.0, "class Solution:\n def search(self, nums: List[int], target: int) -> int:\n left, right = 0, len(nums) - 1\n while left <= right:\n mid = (left + right) // 2\n if nums[mid] == target:\n return mid\n elif nums[left] <= nums[mid]:\n if nums[mid] <= target <= nums[right]:\n left = mid - 1\n else:\n left = mid + 1\n else:\n if nums[left] <= target <= nums[mid]:\n right = mid + 1\n else:\n left = mid - 1\n return -1": 0.0, "class Solution:\n def search(self, nums: List[int], target: int) -> int:\n left, right = 0, len(nums) - 1\n while left <= right:\n mid = (left + right) // 2\n if nums[mid] == target:\n return mid\n elif nums[left] < nums[mid]:\n if nums[mid] <= target <= nums[right]:\n left = mid + 1\n else:\n left = mid - 1\n else:\n if nums[left] <= target <= nums[mid]:\n right = mid - 1\n else:\n right = mid + 1\n return -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array of strings\u00a0words\u00a0and a string\u00a0chars.\n\nA string is good\u00a0if\u00a0it can be formed by\u00a0characters from chars\u00a0(each character\u00a0can only be used once).\n\nReturn the sum of lengths of all good strings in words.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A bracket sequence is a string containing only characters \"(\" and \")\". A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters \"1\" and \"+\" between the original characters of the sequence. For example, bracket sequences \"()()\" and \"(())\" are regular (the resulting expressions are: \"(1)+(1)\" and \"((1+1)+1)\"), and \")(\", \"(\" and \")\" are not.\n\n\n\nSubsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.\n\n\n\nYou are given a regular bracket sequence $s$ and an integer number $k$. Your task is to find a regular bracket sequence of length exactly $k$ such that it is also a subsequence of $s$.\n\n\n\nIt is guaranteed that such sequence always exists.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($2 \\le k \\le n \\le 2 \\cdot 10^5$, both $n$ and $k$ are even) \u2014 the length of $s$ and the length of the sequence you are asked to find.\n\n\n\nThe second line is a string $s$ \u2014 regular bracket sequence of length $n$.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single string \u2014 a regular bracket sequence of length exactly $k$ such that it is also a subsequence of $s$.\n\n\n\nIt is guaranteed that such sequence always exists.", "responses": { "n, k = map(int, input().split())\na = [0] * n\nb = ['0'] * n\nc = []\ns = input()\nfor i in range(n):\n if k != 0:\n if s[i] == '(':\n c.append(i)\n else:\n d = c.pop()\n a[i] = 1\n a[d] = 1\n k -= 2\nfor i in range(n):\n if a[i] == 1:\n print(s[i], end = '')": 1.0, "n, k == map(int, input().split())\na = [0] * n\nb = ['0'] * n\nc = []\ns = input()\nfor i in range(n):\n if k != 0:\n if s[i] == '(':\n c.append(i)\n else:\n d = c.pop()\n a[i] = 1\n a[d] = 1\n k -= 2\nfor i in range(n):\n if a[i] == 1:\n print(s[i], end = '')": 0.0, "n, k = map(int, input().split())\na = [0] * n\nb = ['0'] * n\nc = []\ns = input()\nfor i in range(n):\n if k != 0:\n if s[i] == '(':\n c.append(i)\n else:\n d = c.pop()\n a[i] = 1\n a[d] == 1\n k -= 2\nfor i in range(n):\n if a[i] == 1:\n print(s[i], end = '')": 0.0, "n, k = map(int, input().split())\na = [0] * n\nb = ['0'] * n\nc = []\ns = input()\nfor i in range(m):\n if k != 0:\n if s[i] == '(':\n c.append(i)\n else:\n d = c.pop()\n a[i] = 1\n a[d] = 1\n k -= 2\nfor i in range(n):\n if a[i] == 1:\n print(s[i], end = '')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA bracket sequence is a string containing only characters \"(\" and \")\". A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters \"1\" and \"+\" between the original characters of the sequence. For example, bracket sequences \"()()\" and \"(())\" are regular (the resulting expressions are: \"(1)+(1)\" and \"((1+1)+1)\"), and \")(\", \"(\" and \")\" are not.\n\n\n\nSubsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.\n\n\n\nYou are given a regular bracket sequence $s$ and an integer number $k$. Your task is to find a regular bracket sequence of length exactly $k$ such that it is also a subsequence of $s$.\n\n\n\nIt is guaranteed that such sequence always exists.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $k$ ($2 \\le k \\le n \\le 2 \\cdot 10^5$, both $n$ and $k$ are even) \u2014 the length of $s$ and the length of the sequence you are asked to find.\n\n\n\nThe second line is a string $s$ \u2014 regular bracket sequence of length $n$.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single string \u2014 a regular bracket sequence of length exactly $k$ such that it is also a subsequence of $s$.\n\n\n\nIt is guaranteed that such sequence always exists.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given array a with n elements and the number m. Consider some subsequence of a and the value of least common multiple (LCM) of its elements. Denote LCM as l. Find any longest subsequence of a with the value l \u2264 m.\n\n\n\nA subsequence of a is an array we can get by erasing some elements of a. It is allowed to erase zero or all elements.\n\n\n\nThe LCM of an empty array equals 1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and m (1 \u2264 n, m \u2264 10^6) \u2014 the size of the array a and the parameter from the problem statement.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^9) \u2014 the elements of a.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print two integers l and k_{max} (1 \u2264 l \u2264 m, 0 \u2264 k_{max} \u2264 n) \u2014 the value of LCM and the number of elements in optimal subsequence.\n\n\n\nIn the second line print k_{max} integers \u2014 the positions of the elements from the optimal subsequence in the ascending order.\n\n\n\nNote that you can find and print any subsequence with the maximum length.", "responses": { "import sys\nn, m = [int(x) for x in input().split()]\nA = [int(x) for x in input().split()]\nB, C = [0]*(m+1), [0]*(m+1)\nfor a in A:\n if a <= m: B[a] += 1\nfor i in range(2, m + 1):\n for j in range(i, m+1, i):\n C[j] += B[i]\nk, l = 1, 0\nfor i in range(2, m+1):\n if C[i] > l:\n l = C[i]\n k = i\nprint(k, l + B[1])\nfor i, a in enumerate(A):\n if k%a == 0: sys.stdout.write(str(i+1) + ' ')": 1.0, "import sys\nn, m = [int(x) for x in input().split()]\nA = [int(x) for x in input().split()]\nB, C = [0]*(m+1), [0]*(m+1)\nfor a in A:\n if a <= m: B[a] += 1\nfor i in range(2, m + 1):\n for j in range(i, m+1, i):\n C[j] += B[i]\nk, l = 1, 0\nfor i in range(2, m+1):\n if C[i] > l:\n l = C[i]\n k = i\nprint(k, l + B[1])\nfor i in range(len(A)):\n if k%A[i] == 0: sys.stdout.write(str(i+1) + ' ')": 0.0, "import sys\nn, m = [int(x) for x in input().split()]\nA = [int(x) for x in input().split()]\nB, C = [0]*(m+1), [0]*(m+1)\nfor a in A:\n if a <= m: B[a] += 1\nfor i in range(2, m + 1):\n for j in range(i, m+1, i):\n C[j] += B[i]\nk, l = 1, 0\nfor i in range(2, m+1):\n if C[i] > l:\n l = C[i]\n k = i\nprint(k, l + B[1])\nfor i, a in enumerate(A):\n if k % a == 1: sys.stdout.write(str(i+1) + ' ')": 0.0, "import sys\nn, m = [int(x) for x in input().split()]\nA = [int(x) for x in input().split()]\nB, C = [0]*(m+1), [0]*(m+1)\nfor a in A:\n if a <= m: B[a-1] += 1\nfor i in range(2, m + 1):\n for j in range(i, m+1, i):\n C[j] += B[i]\nk, l = 1, 0\nfor i in range(2, m+1):\n if C[i] >= l:\n l = C[i]\n k = i\nprint(k, l + B[1])\nfor i, a in enumerate(A):\n if k%a == 0: sys.stdout.write(str(i+1) + ' ')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given array a with n elements and the number m. Consider some subsequence of a and the value of least common multiple (LCM) of its elements. Denote LCM as l. Find any longest subsequence of a with the value l \u2264 m.\n\n\n\nA subsequence of a is an array we can get by erasing some elements of a. It is allowed to erase zero or all elements.\n\n\n\nThe LCM of an empty array equals 1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and m (1 \u2264 n, m \u2264 10^6) \u2014 the size of the array a and the parameter from the problem statement.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^9) \u2014 the elements of a.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print two integers l and k_{max} (1 \u2264 l \u2264 m, 0 \u2264 k_{max} \u2264 n) \u2014 the value of LCM and the number of elements in optimal subsequence.\n\n\n\nIn the second line print k_{max} integers \u2014 the positions of the elements from the optimal subsequence in the ascending order.\n\n\n\nNote that you can find and print any subsequence with the maximum length.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Compare two version numbers version1 and version2.\n\nIf version1 > version2 return 1;\u00a0if version1 < version2 return -1;otherwise return 0.\n\n\n\nYou may assume that the version strings are non-empty and contain only digits and the . character.\n\nThe . character does not represent a decimal point and is used to separate number sequences.\n\nFor instance, 2.5 is not \"two and a half\" or \"half way to version three\", it is the fifth second-level revision of the second first-level revision.", "responses": { "class Solution:\n def compareVersion(self, version1, version2):\n \"\"\"\n :type version1: str\n :type version2: str\n :rtype: int\n \"\"\"\n while version1 and version2:\n result1 = version1.split('.', 1)\n if len(result1) == 2:\n digit1, version1 = result1[0], result1[1]\n else:\n digit1 = result1[0]\n version1 = \"\"\n result2 = version2.split('.', 1)\n if len(result2) == 2:\n digit2, version2 = result2[0], result2[1]\n else:\n digit2 = result2[0]\n version2 = \"\"\n if int(digit1) > int(digit2):\n return 1\n elif int(digit1) < int(digit2):\n return -1\n \n if version1 and sum(map(lambda x: int(x), version1.split('.'))) != 0:\n return 1\n if version2 and sum(map(lambda x: int(x), version2.split('.'))) != 0:\n return -1\n return 0": 1.0, "class Solution:\n def compareVersion(self, version1, version2):\n \"\"\"\n :type version1: str\n :type version2: str\n :rtype: int\n \"\"\"\n while version1 and version2:\n result1 = version1.split('.', 1)\n if len(result1) == 2:\n digit1, version1 = result1[0], result1[1]\n else:\n digit1 = result1[0]\n version1 = \"\"\n result2 = version2.split('.', 1)\n if len(result2) == 2:\n digit2, version2 = result2[0], result2[1]\n else:\n digit2 = result2[0]\n version2 = \"\"\n if int(digit1) > int(digit2):\n return 1\n elif int(digit1) < int(digit2):\n return -1\n \n if version1 and sum(map(lambda x: int(x), version1.split('.'))) != 0:\n return 1\n if version2 and sum(map(lambda x: int(x), version2.split('.'))) != 0:\n return -1\n return 0": 0.0, "class Solution:\n def compareVersion(self, version1, version2):\n \"\"\"\n :type version1: str\n :type version2: str\n :rtype: int\n \"\"\"\n while version1 and version2:\n result1 = version1.split('.', 1)\n if len(result1) == 2:\n digit1, version1 = result1[0], result1[1]\n else:\n digit1 = result1[0]\n version1 = \"\"\n result2 = version2.split('.', 1)\n if len(result2) == 2:\n digit2, version2 = result2[0], result2[1],\n else:\n digit2 = result2[0]\n version2 = \"\"\n if int(digit1) > int(digit2):\n return 1\n elif digit1 < digit2:\n return -1\n \n if version1 != \"\" and sum(map(lambda x: int(x), version1.split('.'))) != 0:\n return 1\n if version2 and sum(map(lambda x: int(x), version2.split('.'))) != 0:\n return -1\n return 0": 0.0, "class Solution:\n def compareVersion(self, version1, version2):\n \"\"\"\n :type version1: str\n :type version2: str\n :rtype: int\n \"\"\"\n while version1 and version2:\n result1 = version1.split('.', 1)\n if len(result1) == 2:\n digit1, version1 = result1[0], result1[1]\n else:\n digit1 = result1[0]\n version1 = \"\"\n result2 = version2.split('.', 1)\n if len(result2) == 2:\n digit2, version2 = result2[0], result2[1]\n else:\n digit2 = result2[0]\n version2 = \"\"\n if int(digit1) > int(digit2):\n return 1\n elif int(digit1) < int(digit2):\n return 100\n \n if version1 and sum(map(lambda x: int(x), version1.split('.'))) != 0:\n return 1\n if version2 and sum(map(lambda x: int(x), version2.split('.'))) != 0:\n return -1\n return 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCompare two version numbers version1 and version2.\n\nIf version1 > version2 return 1;\u00a0if version1 < version2 return -1;otherwise return 0.\n\n\n\nYou may assume that the version strings are non-empty and contain only digits and the . character.\n\nThe . character does not represent a decimal point and is used to separate number sequences.\n\nFor instance, 2.5 is not \"two and a half\" or \"half way to version three\", it is the fifth second-level revision of the second first-level revision.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:\n\n - In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.\n\nFor example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.\n\nYou are given a positive integer K. Find the K-th smallest lunlun number.\n\n\n\n-----Constraints-----\n\n - 1 \\leq K \\leq 10^5\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n15\n\n\n\n-----Sample Output-----\n\n23\n\n\n\nWe will list the 15 smallest lunlun numbers in ascending order:\n\n1,\n\n2,\n\n3,\n\n4,\n\n5,\n\n6,\n\n7,\n\n8,\n\n9,\n\n10,\n\n11,\n\n12,\n\n21,\n\n22,\n\n23.\n\n\n\nThus, the answer is 23.", "responses": { "k = int(input())\nimport queue\nque = queue.Queue()\nfor i in range(1, 10):\n que.put(i)\nfor i in range(1, k + 1):\n ans = que.get()\n keta1 = ans % 10\n if keta1 == 0:\n append_list = [ans * 10, ans * 10 + 1]\n elif keta1 == 9:\n append_list = [ans * 10 + 8, ans * 10 + 9]\n else:\n append_list = [ans * 10 + keta1 - 1, ans * 10 + keta1, ans * 10 + keta1 + 1]\n for ite in append_list:\n que.put(ite)\nprint(ans)": 1.0, "k = int(input())\nimport queue\nque = queue.Queue()\nfor i in range(1, 10):\n que.put(i)\nfor i in range(1, k + 1):\n ans = que.get()\n keta1 = ans % 10 \n if keta1 == 0:\n append_list = [ans * 10, ans * 10 + 1]\n elif keta1 == 8:\n append_list = [ans * 10 + 7, ans * 10 + 8]\n else:\n append_list = [ans * 10 + keta1 - 1, ans * 10 + keta1, ans * 10 + keta1 + 1]\n for ite in append_list:\n que.put(ite)\nprint(ans)": 0.0, "k = int(input())\nimport queue\nque = queue.Queue()\nfor i in range(1, 10):\n que.put(i)\nfor i in range(1, k + 1):\n ans = que.queue()\n keta1 = ans % 10\n if keta1 == 0:\n append_list = [ans * 10, ans * 10 + 1]\n elif keta1 == 9:\n append_list = [ans * 10 + 8, ans * 10 + 9]\n else:\n append_list = [ans * 10 + keta1 - 1, ans * 10 + keta1, ans * 10 + keta1 + 1]\n for ite in append_list:\n que.put(ite)\nprint(ans)": 0.0, "k = int(input())\nimport queue\nque = queue.Queue()\nfor i in range(1, 10):\n que.put(i)\nfor i in range(1, k):\n ans = que.get()\n keta1 = ans % 10\n if keta1 == 0:\n append_list = [ans * 10, ans * 10 + 10]\n elif keta1 == 9:\n append_list = [ans * 10 + 8, ans * 10 + 9]\n else:\n append_list = [ans * 10 + keta1 - 1, ans * 10 + keta1, ans * 10 + keta1 + 1]\n for ite in append_list:\n que.put(ite)\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA positive integer X is said to be a lunlun number if and only if the following condition is satisfied:\n\n - In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.\n\nFor example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.\n\nYou are given a positive integer K. Find the K-th smallest lunlun number.\n\n\n\n-----Constraints-----\n\n - 1 \\leq K \\leq 10^5\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n15\n\n\n\n-----Sample Output-----\n\n23\n\n\n\nWe will list the 15 smallest lunlun numbers in ascending order:\n\n1,\n\n2,\n\n3,\n\n4,\n\n5,\n\n6,\n\n7,\n\n8,\n\n9,\n\n10,\n\n11,\n\n12,\n\n21,\n\n22,\n\n23.\n\n\n\nThus, the answer is 23.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer, check whether it has alternating bits: namely, if two adjacent bits will always have different values.", "responses": { "class Solution:\n def hasAlternatingBits(self, n):\n \"\"\"\n :type n: int\n :rtype: bool\n \"\"\"\n \n if n % 2 == 0:\n n = n >> 1\n \n cnt = 0\n a = n\n while (a>0):\n cnt += 1\n a = a >> 1\n \n if cnt % 2 == 0:\n return False\n \n c = 1\n for i in range(1, cnt):\n c = c << 1\n if i % 2 == 0:\n c += 1\n \n return c == n": 1.0, "class Solution:\n def hasAlternatingBits(self, n):\n \"\"\"\n :type n: int\n :rtype: bool\n \"\"\"\n \n if n % 2 != 0:\n n = n >> 1\n \n cnt = 0\n a = n\n while (a>0):\n cnt += 2\n a = a >> 1\n \n if cnt % 2 == 0:\n return False\n \n c = 1\n for i in range(1, cnt):\n c = c << 1\n if i % 2 != 0:\n c += 1\n \n return c == n": 0.0, "class Solution:\n def hasAlternatingBits(self, n):\n \"\"\"\n :type n: int\n :rtype: bool\n \"\"\"\n \n if n % 2 == 0:\n n = n >> 2\n \n cnt = 0\n a = n\n while (a>0):\n cnt += 1\n a = a >> 1\n \n if cnt % 2 == 0:\n return False\n \n c = 1\n for i in range(1, cnt):\n c = c << 1\n if i % 2 == 0:\n c += 3\n \n return c == n": 0.0, "class Solution:\n def hasAlternatingBits(self, n):\n \"\"\"\n :type n: int\n :rtype: bool\n \"\"\"\n \n if n % 2 == 0:\n n = n >> 1\n \n cnt = 0\n a = n\n while (a>0):\n cnt -= 1\n a = a >> 1\n \n if cnt % 2 == 0:\n return False\n \n c = 1\n for i in range(1, cnt):\n c = c << 1\n if i % 2 == 0:\n c -= 1\n \n return c == n": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer, check whether it has alternating bits: namely, if two adjacent bits will always have different values.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The new \"Die Hard\" movie has just been released! There are n people at the cinema box office standing in a huge line. Each of them has a single 100, 50 or 25 ruble bill. A \"Die Hard\" ticket costs 25 rubles. Can the booking clerk sell a ticket to each person and give the change if he initially has no money and sells the tickets strictly in the order people follow in the line?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) \u2014 the number of people in the line. The next line contains n integers, each of them equals 25, 50 or 100 \u2014 the values of the bills the people have. The numbers are given in the order from the beginning of the line (at the box office) to the end of the line.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without the quotes) if the booking clerk can sell a ticket to each person and give the change. Otherwise print \"NO\".", "responses": { "import sys\nn=int(sys.stdin.readline())\nA=list(map(int,sys.stdin.readline().split()))\ns=0\nm=0\ncase=True\nfor item in A:\n if(item==50 and s>=1):\n m+=1\n s-=1\n continue\n if(item==100 and m>=1 and s>=1):\n m-=1\n s-=1\n continue\n if(item==100 and s>=3):\n s-=3\n continue\n if(item==25):\n s+=1\n continue\n case=False\n break\nif(case):\n print(\"YES\")\nelse:\n print(\"NO\")": 1.0, "import sys\nn=int(sys.stdin.readline())\nA=list(map(int,sys.stdin.readline().split()))\ns=0\nm=0\ncase=True\nfor item in A:\n if(item==50 and s>=2):\n m+=1\n s-=1\n continue\n if(item==100 and m>=1 and s>=1):\n m-=1\n s-=1\n continue\n if(item==100 and s>=3):\n s-=3\n continue\n if(item==25):\n s+=1\n continue\n case=False\n break\nif(case):\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "import sys\nn=int(sys.stdin.readline())\nA=list(map(int,sys.stdin.readline().split()))\ns=0\nm=0\ncase=True\nfor item in A:\n if(item==50 and s>=1):\n m+=1\n s-=1\n continue\n if(item==100 and m>=1 and s>=2):\n m-=1\n s-=1\n continue\n if(item==100 and s>=3):\n s-=3\n continue\n if(item==25):\n s+=1\n continue\n case=False\n break\nif(case):\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "import sys\nn=int(sys.stdin.readline())\nA=list(map(int,sys.stdin.readline().split()))\ns=0\nm=0\ncase=True\nfor item in A:\n if(item==50 and s>=1):\n m+=2\n s-=1\n continue\n if(item==100 and m>=1 and s>=1):\n m-=1\n s-=1\n continue\n if(item==100 and s>=3):\n s-=3\n continue\n if(item==25):\n s+=1\n continue\n case=False\n break\nif(case):\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe new \"Die Hard\" movie has just been released! There are n people at the cinema box office standing in a huge line. Each of them has a single 100, 50 or 25 ruble bill. A \"Die Hard\" ticket costs 25 rubles. Can the booking clerk sell a ticket to each person and give the change if he initially has no money and sells the tickets strictly in the order people follow in the line?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) \u2014 the number of people in the line. The next line contains n integers, each of them equals 25, 50 or 100 \u2014 the values of the bills the people have. The numbers are given in the order from the beginning of the line (at the box office) to the end of the line.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without the quotes) if the booking clerk can sell a ticket to each person and give the change. Otherwise print \"NO\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Find all possible combinations of k numbers that add up to a number n, given that only numbers from 1 to 9 can be used and each combination should be a unique set of numbers.\n\n\n\nNote:\n\n\n\n\n\n All numbers will be positive integers.\n\n The solution set must not contain duplicate combinations.", "responses": { "class Solution:\n def combinationSum3(self, k, n):\n \"\"\"\n :type k: int\n :type n: int\n :rtype: List[List[int]]\n \"\"\"\n to_return = []\n self.backtrack(to_return, [], k, n, 1)\n return to_return\n \n def backtrack(self, to_return, temp, k, n, start):\n total = sum(temp)\n \n if total > n:\n return\n if len(temp) == k and total == n:\n to_return.append(temp[:])\n return\n \n for i in range(start, 10):\n temp.append(i)\n self.backtrack(to_return, temp, k, n, i + 1)\n temp.pop()": 1.0, "lass Solution:\n def combinationSum3(self, k, n):\n to_return=[]\n selt.backtrack(to_return,[],k,n,1)\n return to_return \n def backtrack(self,to_return,temp,k,n,start):\n total=sum(temp)\n \n if total>n:\n return\n if len(temp)==k and total==n:\n to_return.append(temp[:])\n return \n for i in range(start,10):\n temp.append(i)\n self.backtrack(to_return,temp,k,n,i+1)\n temp.pop()": 0.0, "class Solution:\n def combinationSum3(self, k, n):\n to_return=[]\n self.backtrack(to_return,[],k,n,1)\n return to_return\n \n sef backtrack(self,to_return,temp,k,n,start):\n total=sum(temp)\n \n if total>n:\n return\n if len(temp)==k and total==n:\n to_return.append(temp[:])\n return \n for i in range(start,10):\n temp.append(i)\n self.backtrack(to_return,temp,k,n,i+1)\n temp.pop()": 0.0, "class Solution:\n def combinationSum3(self, k, n):\n to_return=[]\n self.backtrack(to_return,[],k,n,1)\n return to_return\n def backtrack(self,to_return,temp,k,n,start):\n total=sum(temp)\n \n if total>n:\n return\n if len(temp)==k and total==n:\n to_return.append(temp[:])\n return \n for i in range(start,10)\n temp.append(i)\n self.backtrack(to_return,temp,k,n,i+1)\n temp.pop()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFind all possible combinations of k numbers that add up to a number n, given that only numbers from 1 to 9 can be used and each combination should be a unique set of numbers.\n\n\n\nNote:\n\n\n\n\n\n All numbers will be positive integers.\n\n The solution set must not contain duplicate combinations.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ujan has been lazy lately, but now has decided to bring his yard to good shape. First, he decided to paint the path from his house to the gate.\n\n\n\nThe path consists of $n$ consecutive tiles, numbered from $1$ to $n$. Ujan will paint each tile in some color. He will consider the path aesthetic if for any two different tiles with numbers $i$ and $j$, such that $|j - i|$ is a divisor of $n$ greater than $1$, they have the same color. Formally, the colors of two tiles with numbers $i$ and $j$ should be the same if $|i-j| > 1$ and $n \\bmod |i-j| = 0$ (where $x \\bmod y$ is the remainder when dividing $x$ by $y$).\n\n\n\nUjan wants to brighten up space. What is the maximum number of different colors that Ujan can use, so that the path is aesthetic?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains a single integer $n$ ($1 \\leq n \\leq 10^{12}$), the length of the path.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer, the maximum possible number of colors that the path can be painted in.", "responses": { "n = int(input())\np = 2\nwhile n % p and p ** 2 <= n:\n p += 1\nif p ** 2 > n:\n p = n\npw = n.bit_length() // p.bit_length()\nwhile pow(p, pw) < n:\n pw += 1\nwhile pow(p, pw) > n:\n pw -= 1\nif pow(p, pw) == n:\n print(p)\nelse:\n print(1)": 1.0, "n = int(input())\np = 2\nwhile n % p or p ** 2 <= n:\n p += 1\nif p ** 2 > n:\n p = n\npw = n.bit_length() // p.bit_length()\nwhile pow(p, pw) < n:\n pw += 1\nwhile pow(p, pw) > n:\n pw -= 1\nif pow(p, pw) == n:\n print(p)\nelse:\n print(1)": 0.0, "n = int(input())\np = 2\nwhile n % p and p ** 2 < n:\n p += 1\nif p ** 2 > n:\n p = n\npw = n.bit_length() // p.bit_length()\nwhile pow(p, pw) < n:\n pw += 1\nwhile pow(p, pw) > n:\n pw -= 1\nif pow(p, pw) == n:\n print(p)\nelse:\n print(1)": 0.0, "n = int(input())\np = 2\nwhile n % p and p ** 2 <= n:\n p *= 2\nif p ** 2 > n:\n p = n\npw = n.bit_length() // p.bit_length()\nwhile pow(p, pw) < n:\n pw += 1\nwhile pow(p, pw) > n:\n pw -= 1\nif pow(p, pw) == n:\n print(p)\nelse:\n print(1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nUjan has been lazy lately, but now has decided to bring his yard to good shape. First, he decided to paint the path from his house to the gate.\n\n\n\nThe path consists of $n$ consecutive tiles, numbered from $1$ to $n$. Ujan will paint each tile in some color. He will consider the path aesthetic if for any two different tiles with numbers $i$ and $j$, such that $|j - i|$ is a divisor of $n$ greater than $1$, they have the same color. Formally, the colors of two tiles with numbers $i$ and $j$ should be the same if $|i-j| > 1$ and $n \\bmod |i-j| = 0$ (where $x \\bmod y$ is the remainder when dividing $x$ by $y$).\n\n\n\nUjan wants to brighten up space. What is the maximum number of different colors that Ujan can use, so that the path is aesthetic?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains a single integer $n$ ($1 \\leq n \\leq 10^{12}$), the length of the path.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer, the maximum possible number of colors that the path can be painted in.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "How many strings can be obtained by applying the following operation on a string S exactly K times: \"choose one lowercase English letter and insert it somewhere\"?\n\nThe answer can be enormous, so print it modulo (10^9+7).\n\n\n\n-----Constraints-----\n\n - K is an integer between 1 and 10^6 (inclusive).\n\n - S is a string of length between 1 and 10^6 (inclusive) consisting of lowercase English letters.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\nS\n\n\n\n-----Output-----\n\nPrint the number of strings satisfying the condition, modulo (10^9+7).\n\n\n\n-----Sample Input-----\n\n5\n\noof\n\n\n\n-----Sample Output-----\n\n575111451\n\n\n\nFor example, we can obtain proofend, moonwolf, and onionpuf, while we cannot obtain oofsix, oofelevennn, voxafolt, or fooooooo.", "responses": { "from functools import reduce\ndef comb(n, max_k, mod):\n \"\"\"\n (n,k) := n\u500b\u304b\u3089k\u500b\u9078\u3076\u7d44\u307f\u5408\u308f\u305b\n k = 0~max_K\u307e\u3067\u3092\u8a08\u7b97\u3057\u3066\u8fd4\u3059\n \"\"\"\n res = [1]*(max_k+1)\n t = 1\n for i in range(max_k+1):\n res[i] *= t\n t *= n-i\n t %= mod\n n = reduce(lambda x,y: (x*y)%mod, range(1,max_k+1), 1)\n n = pow(n,-1, mod)\n for i in reversed(range(max_k+1)):\n res[i] *= n\n res[i] %= mod\n n *= i\n n %= mod\n return res\nMOD = 10**9+7\nK = int(input())\nN = len(input())\nres = 0\nx = 1\ncom = comb(N+K, K, MOD)\nfor c in com:\n res += x*c\n res %= MOD\n x *= 25\n x %= MOD\nprint(res)": 1.0, "from functools import reduce\ndef comb(n, max_k, mod):\n res = [1]*(max_k+1)\n t = 1\n for i in range(max_k+1):\n res[i] *= t\n t *= n-i\n t %= mod\n n = reduce(lambda x,y: (x*y)%mod, range(1,max_k+1), 1)\n n = pow(n,-1, mod)\n for i in reversed(range(max_k+1)):\n res[i] *= n\n res[i] %= mod\n n *= i\n n %= mod\n return res\nMOD = 10**9+7\nK = int(input())\nN = len(input())\nres = 0\nx = 1\ncom = comb(N+K, K, MOD)\nfor c in com:\n res += x*c\n res %= MOD\n x *= 26\n x %= MOD\nprint(res)": 0.0, "from functools import reduce\ndef comb(n, max_k, mod):\n res = [1]*(max_k+1)\n t = 1\n for i in range(max_k+1):\n res[i] *= t\n t *= n-i\n t %= mod\n n = reduce(lambda x,y: (x*y)%mod, range(1,max_k+1), 1)\n n = pow(n,-1, mod)\n for i in reversed(range(max_k+1)):\n res[i] *= n\n res[i] %= mod\n n *= i\n n %= mod\n return res\nMOD = 10**9+7\nK = int(input())\nN = len(input())\nres = 0\nx = 1\nwhile x < K:\n com = comb(N+K, K, MOD)\n res = 0\n for c in com:\n res += x*c\n res %= MOD\n x *= 25\n x %= MOD\n print(res)": 0.0, "from functools import reduce\ndef comb(n, max_k, mod):\n res = [1]*(max_k+1)\n t = 1\n for i in range(max_k+1):\n res[i] *= t\n t *= n-i\n t %= mod\n n = reduce(lambda x,y: (x*y)%mod, range(1,max_k+1), 1)\n n = pow(n,-1, mod)\n for i in reversed(range(max_k+1)):\n res[i] *= n\n res[i] %= mod\n n *= i\n n %= mod\n return res\nMOD = 10**9+7\nK = float(input())\nN = len(input())\nres = 0\nx = 1\ncom = comb(N+K, K, MOD)\nfor c in com:\n res += x*c\n res %= MOD\n x *= 25\n x %= MOD\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nHow many strings can be obtained by applying the following operation on a string S exactly K times: \"choose one lowercase English letter and insert it somewhere\"?\n\nThe answer can be enormous, so print it modulo (10^9+7).\n\n\n\n-----Constraints-----\n\n - K is an integer between 1 and 10^6 (inclusive).\n\n - S is a string of length between 1 and 10^6 (inclusive) consisting of lowercase English letters.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK\n\nS\n\n\n\n-----Output-----\n\nPrint the number of strings satisfying the condition, modulo (10^9+7).\n\n\n\n-----Sample Input-----\n\n5\n\noof\n\n\n\n-----Sample Output-----\n\n575111451\n\n\n\nFor example, we can obtain proofend, moonwolf, and onionpuf, while we cannot obtain oofsix, oofelevennn, voxafolt, or fooooooo.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Twilight Sparkle was playing Ludo with her friends Rainbow Dash, Apple Jack and Flutter Shy. But she kept losing. Having returned to the castle, Twilight Sparkle became interested in the dice that were used in the game.\n\n\n\nThe dice has m faces: the first face of the dice contains a dot, the second one contains two dots, and so on, the m-th face contains m dots. Twilight Sparkle is sure that when the dice is tossed, each face appears with probability $\\frac{1}{m}$. Also she knows that each toss is independent from others. Help her to calculate the expected maximum number of dots she could get after tossing the dice n times.\n\n\n\n\n\n-----Input-----\n\n\n\nA single line contains two integers m and n (1 \u2264 m, n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single real number corresponding to the expected maximum. The answer will be considered correct if its relative or absolute error doesn't exceed 10 ^{ - 4}.", "responses": { "\"\"\"\nCodeforces Contest 259 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n m,n = read()\n print(m - sum((i/m)**n for i in range(1,m)))\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef read_str(): return read(0)\ndef read_int(): return read(2)[0]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 1.0, "\"\"\"\nCodeforces Contest 259 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n m,n = read()\n print(m - sum((i/m)**n for i in range(1,m)))\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef read_str: return read(0)\ndef read_int(): return read(2)[0]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0, "\"\"\"\nCodeforces Contest 259 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n m,n = read()\n print(m - sum((i/m)**n for i in range(1,m)))\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef read_str(): return readrate(0)\ndef read_int(): return read(2)[0]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0, "\"\"\"\nCodeforces Contest 259 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n m,n = read()\n print(m - sum((i/m)**n for i in range(1,m)))\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef read_str(): return read(0)\ndef read_int return read(2)[0]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTwilight Sparkle was playing Ludo with her friends Rainbow Dash, Apple Jack and Flutter Shy. But she kept losing. Having returned to the castle, Twilight Sparkle became interested in the dice that were used in the game.\n\n\n\nThe dice has m faces: the first face of the dice contains a dot, the second one contains two dots, and so on, the m-th face contains m dots. Twilight Sparkle is sure that when the dice is tossed, each face appears with probability $\\frac{1}{m}$. Also she knows that each toss is independent from others. Help her to calculate the expected maximum number of dots she could get after tossing the dice n times.\n\n\n\n\n\n-----Input-----\n\n\n\nA single line contains two integers m and n (1 \u2264 m, n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single real number corresponding to the expected maximum. The answer will be considered correct if its relative or absolute error doesn't exceed 10 ^{ - 4}.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In music, if you double (or halve) the pitch of any note you will get to the same note again.\n\n\n\n\"Concert A\" is fixed at 440 Hz, and every other note is defined based on that. 880 Hz is also an A, as is 1760 Hz, as is 220 Hz.\n\n\n\nThere are 12 notes in Western music: A, A#, B, C, C#, D, D#, E, F, F#, G, G#. You are given a preloaded dictionary with these 12 notes and one of the pitches that creates that note (starting at Concert A).\n\n\n\nNow, given a pitch (in Hz), return the corresponding note. (All inputs will be valid notes).\n\n\n\nFor reference, the notes dictionary looks like this:\n\n\n\n```python\n\nnotes_dictionary = {\n\n 440: \"A\",\n\n 466.16: \"A#\",\n\n 493.88: \"B\",\n\n 523.25: \"C\",\n\n 554.37: \"C#\", \n\n 587.33: \"D\", \n\n 622.25: \"D#\", \n\n 659.25: \"E\", \n\n 698.46: \"F\", \n\n 739.99: \"F#\", \n\n 783.99: \"G\", \n\n 830.61: \"G#\"\n\n}\n\n```\n\n\n\nMusicians: all pitches based on equal tempermanent, taken from [here](http://pages.mtu.edu/~suits/notefreqs.html).", "responses": { "notes = {\n440: \"A\",\n466.16: \"A#\",\n493.88: \"B\",\n523.25: \"C\",\n554.37: \"C#\",\n587.33: \"D\",\n622.25: \"D#\",\n659.25: \"E\",\n698.46: \"F\",\n739.99: \"F#\",\n783.99: \"G\",\n830.61: \"G#\"\n}\ndef get_note(pitch):\n for note in notes:\n if note >= pitch and note % pitch == 0:\n return notes[note]\n elif note < pitch and pitch % note == 0:\n return notes[note]": 1.0, "notes = {\n440: \"A\",\n466.16: \"A#\",\n493.88: \"B\",\n523.25: \"C\",\n554.37: \"C#\",\n587.33: \"D\",\n622.25: \"D#\",\n659.25: \"E\",\n698.46: \"F\",\n739.99: \"F#\",\n783.99: \"G\",\n830.61: \"G#\"\n}\ndef get_note(pitch):\n for note in notes:\n if note >= pitch and note % pitch == 0:\n return note[note] # BUG: Accessing note instead of notes\n elif note < pitch and pitch % note == 0:\n return notes[note]": 0.0, "notes = {\n440: \"A\",\n466.16: \"A#\",\n493.88: \"B\",\n523.25: \"C\",\n554.37: \"C#\",\n587.33: \"D\",\n622.25: \"D#\",\n659.25: \"E\",\n698.46: \"F\",\n739.99: \"F#\",\n783.99: \"G\",\n830.61: \"G#\"\n}\ndef get_note(pitch):\n for note in notes:\n if note >= pitch and note % pitch == 0:\n return notes[note]\n elif note + 1 < pitch and pitch % note == 0: # BUG: Using note + 1 instead of note\n return notes[note]": 0.0, "notes = {\n440: \"A\",\n466.16: \"A#\",\n493.88: \"B\",\n523.25: \"C\",\n554.37: \"C#\",\n587.33: \"D\",\n622.25: \"D#\", \n659.25: \"E\",\n698.46: \"F\", \n739.99: \"F#\", \n783.99: \"G\",\n830.61: \"G#\"\n}\ndef get_note(pitch):\n for note in notes:\n if note >= pitch and note % pitch == 0:\n return notes[note]\n elif note < pitch or pitch % note == 0: # BUG: Using 'or' instead of 'and'\n return notes[note]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn music, if you double (or halve) the pitch of any note you will get to the same note again.\n\n\n\n\"Concert A\" is fixed at 440 Hz, and every other note is defined based on that. 880 Hz is also an A, as is 1760 Hz, as is 220 Hz.\n\n\n\nThere are 12 notes in Western music: A, A#, B, C, C#, D, D#, E, F, F#, G, G#. You are given a preloaded dictionary with these 12 notes and one of the pitches that creates that note (starting at Concert A).\n\n\n\nNow, given a pitch (in Hz), return the corresponding note. (All inputs will be valid notes).\n\n\n\nFor reference, the notes dictionary looks like this:\n\n\n\n```python\n\nnotes_dictionary = {\n\n 440: \"A\",\n\n 466.16: \"A#\",\n\n 493.88: \"B\",\n\n 523.25: \"C\",\n\n 554.37: \"C#\", \n\n 587.33: \"D\", \n\n 622.25: \"D#\", \n\n 659.25: \"E\", \n\n 698.46: \"F\", \n\n 739.99: \"F#\", \n\n 783.99: \"G\", \n\n 830.61: \"G#\"\n\n}\n\n```\n\n\n\nMusicians: all pitches based on equal tempermanent, taken from [here](http://pages.mtu.edu/~suits/notefreqs.html).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A positive integer\u00a0is magical\u00a0if it is divisible by either A\u00a0or B.\n\nReturn the N-th magical number.\u00a0 Since the answer may be very large, return it modulo 10^9 + 7.", "responses": { "class Solution:\n def NOD(self, a, b):\n if a == b:\n return a\n c = max(a,b)\n d = a + b - c\n c = c%d\n c = c if c>0 else d\n return self.NOD(c,d)\n def nthMagicalNumber(self, N: int, A: int, B: int) -> int:\n const = 10**9 + 7\n nod = self.NOD(A, B)\n nok = int(A*B/nod)\n C, D = min(A, B), max(A, B)\n k_C = nok//C\n k_D = nok//D\n k = k_C + k_D - 1\n div = N//k\n mod = N - div*k\n k_C_cur = (mod*k_C)//k\n k_D_cur = mod - k_C_cur\n #print(k_C, k_D, k, div, mod, k_C_cur, k_D_cur)\n while True:\n C_num = k_C_cur*C\n D_num = k_D_cur*D\n if -C < C_num - D_num < D:\n return (div*nok + max(C_num, D_num))%const\n elif C_num - D_num <= -C:\n k_D_cur -= 1\n k_C_cur += 1\n else:\n k_D_cur += 1\n k_C_cur -= 1": 1.0, "class Solution:\n def NOD(self, a, b):\n if a == b:\n return a\n c = max(a,b)\n d = a + b - c\n c = c%d\n c = c if c>0 else d\n return self.NOD(c,d)\n def nthMagicalNumber(self, N: int, A: int, B: int) -> int:\n const = 10**9 + 7\n nod = self.NOD(A, B)\n nok = int(A*B//nod) # Bug: should use floor division instead of regular division\n C, D = min(A, B), max(A, B)\n k_C = nok//C\n k_D = nok//D\n k = k_C + k_D - 1\n div = N//k\n mod = N - div*k\n k_C_cur = (mod*k_C)//k\n k_D_cur = mod - k_C_cur\n #print(k_C, k_D, k, div, mod, k_C_cur, k_D_cur)\n while True:\n C_num = k_C_cur*C\n D_num = k_D_cur*D\n if -C < C_num - D_num < D:\n return (div*nok + max(C_num, D_num))%const\n elif C_num - D_num <= -C:\n k_D_cur -= 1\n k_C_cur += 1\n else:\n k_D_cur += 1\n k_C_cur -= 1": 0.0, "class Solution:\n def NOD(self, a, b):\n if a == b:\n return a\n c = max(a,b)\n d = a + b - c\n c = c%d\n c = c if c>0 else d\n return self.NOD(c,d)\n def nthMagicalNumber(self, N: int, A: int, B: int) -> int:\n const = 10**9 + 7\n nod = self.NOD(A, B)\n nok = int(A*B/nod)\n C, D = min(A, B), max(A, B)\n k_C = nok//C\n k_D = nok//D\n k = k_C + k_D # Bug: should subtract 1 from k\n div = N//k\n mod = N - div*k\n k_C_cur = (mod*k_C)//k\n k_D_cur = mod - k_C_cur\n #print(k_C, k_D, k, div, mod, k_C_cur, k_D_cur)\n while True:\n C_num = k_C_cur*C\n D_num = k_D_cur*D\n if -C < C_num - D_num < D:\n return (div*nok + max(C_num, D_num))%const\n elif C_num - D_num <= -C:\n k_D_cur -= 1\n k_C_cur += 1\n else:\n k_D_cur += 1\n k_C_cur -= 1": 0.0, "class Solution:\n def NOD(self, a, b):\n if a == b:\n return a\n c = max(a,b)\n d = a + b - c\n c = c%d\n c = c if c>0 else d\n return self.NOD(c,d)\n def nthMagicalNumber(self, N: int, A: int, B: int) -> int:\n const = 10**9 + 7\n nod = self.NOD(A, B)\n nok = int(A*B/nod)\n C, D = min(A, B), max(A, B)\n k_C = nok//C\n k_D = nok//D\n k = k_C - k_D - 1 # Bug: should add k_C and k_D instead of subtracting\n div = N//k\n mod = N - div*k\n k_C_cur = (mod*k_C)//k\n k_D_cur = mod - k_C_cur\n #print(k_C, k_D, k, div, mod, k_C_cur, k_D_cur)\n while True:\n C_num = k_C_cur*C\n D_num = k_D_cur*D\n if -C < C_num - D_num < D:\n return (div*nok + max(C_num, D_num))%const\n elif C_num - D_num <= -C:\n k_D_cur -= 1\n k_C_cur += 1\n else:\n k_D_cur += 1\n k_C_cur -= 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA positive integer\u00a0is magical\u00a0if it is divisible by either A\u00a0or B.\n\nReturn the N-th magical number.\u00a0 Since the answer may be very large, return it modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "While Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array a and integer x. He should find the number of different ordered pairs of indexes (i, j) such that a_{i} \u2264 a_{j} and there are exactly k integers y such that a_{i} \u2264 y \u2264 a_{j} and y is divisible by x.\n\n\n\nIn this problem it is meant that pair (i, j) is equal to (j, i) only if i is equal to j. For example pair (1, 2) is not the same as (2, 1).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains 3 integers n, x, k (1 \u2264 n \u2264 10^5, 1 \u2264 x \u2264 10^9, 0 \u2264 k \u2264 10^9), where n is the size of the array a and x and k are numbers from the statement.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^9)\u00a0\u2014 the elements of the array a.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2014 the answer to the problem.", "responses": { "import math\nimport bisect\nn, x, k = list(map(int, input().split()))\na = sorted(list(map(int, input().split())))\nans = 0\nfor num in a:\n l = math.ceil(num/x)*x + (k-1)*x\n r = l + x - 1\n l = num if l < num else l\n # print(l, r, bisect.bisect_left(a, l), bisect.bisect_right(a, r), bisect.bisect_right(a, r) - bisect.bisect_left(a, l))\n ans += bisect.bisect_right(a, r) - bisect.bisect_left(a, l)\nprint(ans)\n'''\n7 3 2\n1 3 5 9 11 16 25\n'''\n'''\n4 2 0\n5 3 1 7\n'''": 1.0, "import math\nans = 0\nn, x, k = list(map(int, input().split()))\na = sorted(list(map(int, input().split())))\nfor num in a:\n l = math.ceil(num/x)*x + (k-1)*x\n r = l + x - 1\n l = num if l < num else l\n print(l, r, bisect.bisect_left(a, l), bisect.bisect_right(a, r), bisect.bisect_right(a, r) - bisect.bisect_left(a, l))\n ans += bisect.bisect_right(a, r) - bisect.bisect_left(a, l)\nprint(ans)": 0.0, "import bisect\nimport math\nn, x, k = list(map(int, input().split()))\na = sorted(list(map(int, input().split())))\nans = 0\nfor num in a:\n l = math.ceil(num/x)*x + (k-1)*x": 0.0, "import math\nimport bisect\nn, x, k = list(map(int, input().split()))\na = sorted(list(map(int, input().split())))\nans = 0\nfor num in a:\n l = math.ceil(num/x)*x + (k-1)*x\n r = l + x - 1\n l = num if l < num else l\n print(l, r, bisect.bisect_left(a, l), bisect.bisect_right(a, l), bisect.bisect_right(a, r) - bisect.bisect_left(a, l))\n ans += bisect.bisect_right(a, r) - bisect.bisect_left(a, l)\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWhile Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array a and integer x. He should find the number of different ordered pairs of indexes (i, j) such that a_{i} \u2264 a_{j} and there are exactly k integers y such that a_{i} \u2264 y \u2264 a_{j} and y is divisible by x.\n\n\n\nIn this problem it is meant that pair (i, j) is equal to (j, i) only if i is equal to j. For example pair (1, 2) is not the same as (2, 1).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains 3 integers n, x, k (1 \u2264 n \u2264 10^5, 1 \u2264 x \u2264 10^9, 0 \u2264 k \u2264 10^9), where n is the size of the array a and x and k are numbers from the statement.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^9)\u00a0\u2014 the elements of the array a.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2014 the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given are N positive integers A_1,...,A_N.\n\nConsider positive integers B_1, ..., B_N that satisfy the following condition.\n\nCondition: For any i, j such that 1 \\leq i < j \\leq N, A_i B_i = A_j B_j holds.\n\nFind the minimum possible value of B_1 + ... + B_N for such B_1,...,B_N.\n\nSince the answer can be enormous, print the sum modulo (10^9 +7).\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^4\n\n - 1 \\leq A_i \\leq 10^6\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nPrint the minimum possible value of B_1 + ... + B_N for B_1,...,B_N that satisfy the condition, modulo (10^9 +7).\n\n\n\n-----Sample Input-----\n\n3\n\n2 3 4\n\n\n\n-----Sample Output-----\n\n13\n\n\n\nLet B_1=6, B_2=4, and B_3=3, and the condition will be satisfied.", "responses": { "n=int(input())\na=[int(x) for x in input().rstrip().split()]\nnow=1\nmod=10**9+7\ndef lcm(a,b):#\u6700\u5c0f\u516c\u500d\u6570\n ori_a=a\n ori_b=b\n while b!=0:\n a,b=b,a%b\n return (ori_a*ori_b)//a\n \nfor i in a:\n now=lcm(i,now)\nprint((sum([now//i for i in a])%mod))\n ": 1.0, "n=int(input())\na=[int(x) for x in input().rstrip().split()]\nnow=1\nmod=10**9+7\ndef lcm(a,b):#\u6700\u5c0f\u516c\u500d\u6570\n ori_a=a\n ori_b=b\n while b!=0:\n a,b=b,a%b\n return (ori_a*ori_b)//a\n \nfor i in a:\n now=lcm(i,now)\nprint((sum([now//i for i in a]))%mod) # Missing closing parentheses": 0.0, "n=int(input())\na=[int(x) for x in input().rstrip().split()]\nnow=1\nmod=10**9+7\ndef lcm(a,b):#\u6700\u5c0f\u516c\u500d\u6570\n ori_a=a\n ori_b=b\n while b!=0:\n a,b=b,a%b\n return (ori_a*ori_b)//a\n \nfor i in a:\n now=lcm(i,now)\nprint((sum(now//i for i in a))%mod) # Should not use parentheses within the sum function": 0.0, "n=int(input())\na=[in(x) for x in input().rstrip().split()] # Typo: should be int instead of in\nnow=1\nmod=10**9+7\ndef lcm(a,b):#\u6700\u5c0f\u516c\u500d\u6570\n ori_a=a\n ori_b=b\n while b!=0:\n a,b=b,a%b\n return (ori_a*ori_b)//a\n \nfor i in a:\n now=lcm(i,now)\nprint((sum([now/i for i in a])%mod)) # Should use // instead of / to perform integer division": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven are N positive integers A_1,...,A_N.\n\nConsider positive integers B_1, ..., B_N that satisfy the following condition.\n\nCondition: For any i, j such that 1 \\leq i < j \\leq N, A_i B_i = A_j B_j holds.\n\nFind the minimum possible value of B_1 + ... + B_N for such B_1,...,B_N.\n\nSince the answer can be enormous, print the sum modulo (10^9 +7).\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^4\n\n - 1 \\leq A_i \\leq 10^6\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nPrint the minimum possible value of B_1 + ... + B_N for B_1,...,B_N that satisfy the condition, modulo (10^9 +7).\n\n\n\n-----Sample Input-----\n\n3\n\n2 3 4\n\n\n\n-----Sample Output-----\n\n13\n\n\n\nLet B_1=6, B_2=4, and B_3=3, and the condition will be satisfied.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the root of a binary tree, then value v and depth d, you need to add a row of nodes with value v at the given depth d. The root node is at depth 1. \n\n\n\nThe adding rule is: given a positive integer depth d, for each NOT null tree nodes N in depth d-1, create two tree nodes with value v as N's left subtree root and right subtree root. And N's original left subtree should be the left subtree of the new left subtree root, its original right subtree should be the right subtree of the new right subtree root. If depth d is 1 that means there is no depth d-1 at all, then create a tree node with value v as the new root of the whole original tree, and the original tree is the new root's left subtree.", "responses": { "class Solution:\n def addOneRow(self, root, v, d):\n \"\"\"\n :type root: TreeNode\n :type v: int\n :type d: int\n :rtype: TreeNode\n \"\"\"\n if root:\n if d == 1:\n new_root = TreeNode(v)\n new_root.left = root\n \n return new_root \n \n queue = [root]\n level = 1\n while queue and level < d:\n row = []\n for i in range(len(queue)):\n node = queue.pop(0)\n if level == d - 1:\n row.append(node)\n if node.left:\n queue.append(node.left)\n if node.right:\n queue.append(node.right)\n \n level += 1\n \n for node in row:\n old = node.left\n node.left = TreeNode(v)\n node.left.left = old\n \n old = node.right\n node.right = TreeNode(v)\n node.right.right = old\n \n return root\n \n ": 1.0, "def addOneRow(root, v, d):\n if root:\n if d == 1:\n new_root = TreeNode(v)\n new_root.right = root\n \n return new_root \n \n queue = [root]\n level = 1\n while queue and level < d:\n row = []\n for i in range(len(queue)):\n node = queue.pop(0)\n if level == d - 1:\n row.append(node)\n if node.left:\n queue.append(node.left)\n if node.right:\n queue.append(node.right)\n \n level += 1\n \n for node in row:\n old = node.left\n node.left = TreeNode(v)\n node.left.left = old\n \n old = node.right\n node.right = TreeNode(v)\n node.right.right = old\n \n return root": 0.0, "class Solution:\n def addOneRow(self, root, v, d):\n if root:\n if d == 1:\n new_root = TreeNode(v)\n new_root.left = root.left\n \n return new_root \n \n queue = [root]\n level = 1\n while queue and level < d:\n row = []\n for i in range(len(queue)):\n node = queue.pop(0)\n if level == d - 1:\n row.append(node)\n if node.left:\n queue.append(node.left)\n if node.right:\n queue.append(node.right)\n \n level += 1\n \n for node in row:\n old = node.left\n node.left = TreeNode(v)\n node.left.left = old\n \n old = node.right\n node.right = TreeNode(v)\n node.right.right = old\n \n return root": 0.0, "class Solution:\n def addOneRow(self, root, v, d):\n if root:\n if d == 1:\n new_root = TreeNode(v)\n new_root.left = root\n \n return new_root.right \n \n queue = [root]\n level = 1\n while queue and level < d:\n row = []\n for i in range(len(queue)):\n node = queue.pop(0)\n if level == d - 1:\n row.append(node)\n if node.left:\n queue.append(node.left)\n if node.right:\n queue.append(node.right)\n \n level += 1\n \n for node in row:\n old = node.left\n node.left = TreeNode(v)\n node.left.left = old\n \n old = node.right\n node.right = TreeNode(v)\n node.right.right = old\n \n return root": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the root of a binary tree, then value v and depth d, you need to add a row of nodes with value v at the given depth d. The root node is at depth 1. \n\n\n\nThe adding rule is: given a positive integer depth d, for each NOT null tree nodes N in depth d-1, create two tree nodes with value v as N's left subtree root and right subtree root. And N's original left subtree should be the left subtree of the new left subtree root, its original right subtree should be the right subtree of the new right subtree root. If depth d is 1 that means there is no depth d-1 at all, then create a tree node with value v as the new root of the whole original tree, and the original tree is the new root's left subtree.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.\n\n\n\nGiven a sequence a consisting of n integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it a_{k}) and delete it, at that all elements equal to a_{k} + 1 and a_{k} - 1 also must be deleted from the sequence. That step brings a_{k} points to the player. \n\n\n\nAlex is a perfectionist, so he decided to get as many points as possible. Help him.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) that shows how many numbers are in Alex's sequence. \n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum number of points that Alex can earn.", "responses": { "\"\"\"\nCodeforces Contest 260 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n n, = read()\n ar = read()\n a = [0] * 100001\n for i in ar: a[i] += 1\n dp = [0] * 100001\n dp[1] = a[1]\n for i in range(2, 100001):\n dp[i] = max(a[i] * i + dp[i-2], dp[i-1])\n print(dp[-1])\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 1.0, "\"\"\"\nCodeforces Contest 260 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n n, = read()\n ar = read()\n a = [0] * 100001\n for i in ar: a[i] += 1\n dp = [0] * 100001\n dp[1] = a[1]\n for i in range(2, 100001):\n dp[i] = max(a[i] * i + dp[i-2], dp[i+1]) # BUG HERE: should be dp[i-1]\n print(dp[-1])\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0, "\"\"\"\nCodeforces Contest 260 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n n, = read()\n ar = read()\n a = [0] * 100001\n for i in ar: a[i] += 1\n dp = [0] * 100001\n dp[1] = a[1]\n for i in range(2, 100001):\n dp[i] = max(a[i] * i + dp[i-2], dp[i-1])\n print(dp[-2]) # BUG HERE: should be dp[-1]\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0, "\"\"\"\nCodeforces Contest 260 Div 1 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef main():\n n, = read()\n ar = read()\n a = [0] * 100001\n for i in ar: a[i] += 1\n dp = [0] * 100001\n dp[1] = a[1]\n for i in range(2, 100001):\n dp[i] = min(a[i] * i + dp[i-2], dp[i-1]) # BUG HERE: should be max instead of min\n print(dp[-1])\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return map(int, inputs.split())\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.\n\n\n\nGiven a sequence a consisting of n integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it a_{k}) and delete it, at that all elements equal to a_{k} + 1 and a_{k} - 1 also must be deleted from the sequence. That step brings a_{k} points to the player. \n\n\n\nAlex is a perfectionist, so he decided to get as many points as possible. Help him.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) that shows how many numbers are in Alex's sequence. \n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum number of points that Alex can earn.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an unsorted array of integers, find the length of longest increasing subsequence.\n\n\n\nExample:\n\n\n\n\n\nInput: [10,9,2,5,3,7,101,18]\n\nOutput: 4 \n\nExplanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4. \n\n\n\nNote: \n\n\n\n\n\n There may be more than one LIS combination, it is only necessary for you to return the length.\n\n Your algorithm should run in O(n2) complexity.\n\n\n\n\n\nFollow up: Could you improve it to O(n log n) time complexity?", "responses": { "class Solution:\n def lengthOfLIS(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 0:\n return 0\n res = [nums[0]]\n def binarySearch(l,target):\n left , right = 0 , len(l)-1\n while left < right:\n mid = (left + right)//2\n if l[mid] >= target:\n right = mid\n else:\n left = mid + 1\n return left\n for i in range(1,len(nums)):\n if nums[i] > res[-1]:\n res.append(nums[i])\n else:\n res[binarySearch(res,nums[i])] = nums[i]\n return len(res)": 1.0, "class Solution:\n def lengthOfLIS(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 0:\n return 0\n res = [nums[0]]\n def binarySearch(l,target):\n left , right = 0 , len(l)-1\n while left < right:\n mid = (left + right)//2\n if l[mid] >= target:\n right = mid # Bug: the condition should be left = mid\n else:\n right = mid + 1\n return left\n for i in range(1,len(nums)):\n if nums[i] > res[-1]:\n res.append(nums[i])\n else:\n res[binarySearch(res,nums[i])] = nums[i]\n return len(res)": 0.0, "class Solution:\n def lengthOfLIS(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 0:\n return 0\n res = [nums[0]]\n def binarySearch(l,target):\n left , right = 0 , len(l)-1\n while left < right:\n mid = (left + right)//2\n if l[mid] >= target:\n right = mid\n else:\n right = mid - 1 # Bug: the condition should be left = mid + 1\n return left\n for i in range(1,len(nums)):\n if nums[i] > res[-1]:\n res.append(nums[i])\n else:\n res[binarySearch(res,nums[i])] = nums[i]\n return len(res)": 0.0, "class Solution:\n def lengthOfLIS(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 0:\n return 0\n res = [nums[0]]\n def binarySearch(l,target):\n left , right = 0 , len(l)-1\n while left < right:\n mid = (left + right)//2\n if l[mid] >= target:\n right = mid\n else:\n left = mid - 1 # Bug: the condition should be right = mid - 1\n return left\n for i in range(1,len(nums)):\n if nums[i] > res[-1]:\n res.append(nums[i])\n else:\n res[binarySearch(res,nums[i])] = nums[i]\n return len(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an unsorted array of integers, find the length of longest increasing subsequence.\n\n\n\nExample:\n\n\n\n\n\nInput: [10,9,2,5,3,7,101,18]\n\nOutput: 4 \n\nExplanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4. \n\n\n\nNote: \n\n\n\n\n\n There may be more than one LIS combination, it is only necessary for you to return the length.\n\n Your algorithm should run in O(n2) complexity.\n\n\n\n\n\nFollow up: Could you improve it to O(n log n) time complexity?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Say you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nIf you were only permitted to complete at most one transaction (i.e., buy one and sell one share of the stock), design an algorithm to find the maximum profit.\n\n\n\nNote that you cannot sell a stock before you buy one.", "responses": { "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n if n <=1:\n return 0\n else:\n minprice = prices[0]\n res = 0\n for i in range(1,n):\n if prices[i] - minprice > res:\n res = prices[i] - minprice\n if prices[i] res:\n res = prices[i] - minprice\n if prices[i] res:\n res = prices[i] - minprice\n if prices[i]minprice:\n minprice = prices[i]\n \n return res": 0.0, "class Solution:\n def maxProfit(self, prices)\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n if n <=1:\n return 0\n else:\n minprice = prices[0]\n res = 0\n for i in range(1,n):\n if prices[i] - minprice > res:\n res = prices[i] - minprice\n if prices[i] V: U, V = V, U\n E.append((U, V))\n print(process(E))\nmain()": 1.0, "def iscycle(E, v, EXPLORED_NODES, EXPLORED_EDGES):\n EXPLORED_NODES.add(v)\n r = False\n for e in [x for x in E if v in x]:\n if e in EXPLORED_EDGES: \n return False\n if e[0] == v: w = e[1]\n else: w = e[1] ## <<< Bug here! should be w = e[0]\n if w in EXPLORED_NODES:\n return True\n else:\n EXPLORED_EDGES.add(e)\n r = r or iscycle(E, w, EXPLORED_NODES, EXPLORED_EDGES)\n if r: break\n return r\n\ndef process(E):\n return iscycle(E, 1, set(), set()) and 'NO' or 'YES'\n\ndef main():\n N, M = list(map(int, input().split()))\n E = []\n for m in range(M):\n U, V = list(map(int, input().split()))\n if U > V: U, V = V, U\n E.append((U, V))\n print(process(E))\n\nmain()": 0.0, "def iscycle(E, v, EXPLORED_NODES, EXPLORED_EDGES):\n EXPLORED_NODES.add(v)\n r = False\n for e in [x for x in E if v in x]:\n if e in EXPLORED_EDGES: continue\n if e[0] == v: w = e[1]\n else: w = e[0]\n if w not in EXPLORED_NODES: ## <<< Bug here! should be if w in EXPLORED_NODES\n EXPLORED_EDGES.add(e)\n r = r or iscycle(E, w, EXPLORED_NODES, EXPLORED_EDGES)\n if r: break\n return r\n\ndef process(E):\n return iscycle(E, 1, set(), set()) and 'NO' or 'YES'\n\ndef main():\n N, M = list(map(int, input().split()))\n E = []\n for m in range(M):\n U, V = list(map(int, input().split()))\n if U > V: U, V = V, U\n E.append((U, V))\n print(process(E))\n\nmain()": 0.0, "def iscycle(E, v, EXPLORED_NODES, EXPLORED_EDGES):\n EXPLORED_NODES.add(v)\n r = False\n for e in [x for x in E if v in x]:\n if e in EXPLORED_EDGES: continue\n if e[0] == v: w = e[1]\n else: w = e[0]\n if w in EXPLORED_NODES:\n EXPLORED_EDGES.add(e)\n else:\n r = r or iscycle(E, w, EXPLORED_NODES, EXPLORED_EDGES)\n if r: break\n return r\n\ndef process(E):\n return iscycle(E, 1, set(), set()) and 'NO' or 'YES'\n\ndef main():\n N, M = list(map(int, input().split()))\n E = []\n for m in range(M):\n U, V = list(map(int, input().split()))\n if U > V: U, V = V, U\n E.append((U, V))\n print(process(E))\n\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an unweighted, undirected graph. Write a program to check if it's a tree topology.\n\n\n\n-----Input-----\n\n\n\nThe first line of the input file contains two integers N and M --- number of nodes and number of edges in the graph (0 < N <= 10000, 0 <= M <= 20000). Next M lines contain M edges of that graph --- Each line contains a pair (u, v) means there is an edge between node u and node v (1 <= u,v <= N).\n\n\n\n-----Output-----\n\n\n\nPrint YES if the given graph is a tree, otherwise print NO.\n\n\n\n-----Example-----\n\nInput:\n\n3 2\n\n1 2\n\n2 3\n\n\n\nOutput:\n\nYES\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array\u00a0points\u00a0representing integer coordinates of some points on a 2D-plane, where points[i] = [xi, yi].\n\nThe cost of connecting two points [xi, yi] and [xj, yj] is the manhattan distance between them:\u00a0|xi - xj| + |yi - yj|, where |val| denotes the absolute value of\u00a0val.\n\nReturn\u00a0the minimum cost to make all points connected. All points are connected if there is exactly one simple path between any two points.", "responses": { "class Solution:\n def minCostConnectPoints(self, points: List[List[int]]) -> int:\n n = len(points)\n dist = [float(\\\"inf\\\")] * n\n remain = set()\n for i in range(0,n):\n remain.add(i)\n dist[0] = 0\n remain.discard(0)\n curr = 0\n res = 0\n while len(remain) > 0:\n lo = float(\\\"inf\\\")\n loind = -1\n # curr is the next lowest\n a,b = points[curr]\n for r in remain:\n x,y = points[r]\n tempdist = abs(x-a) + abs(y-b)\n if tempdist < dist[r]:\n dist[r] = tempdist\n tempdist = dist[r]\n \n if tempdist < lo:\n lo = tempdist\n loind = r\n \n res += lo\n \n curr = loind\n # remove curr from remain\n remain.discard(curr)\n \n return res\n ": 1.0, "class Solution:\n def minCostConnectPoints(self, points: List[List[int]]) -> int:\n n = len(points)\n dist = [float(\"inf\")] * n\n remain = set()\n for i in range(0,n);\n remain.add(i)\n dist[0] = 0\n remain.discard(0)\n curr = 0\n res = 0\n while len(remain) > 0:\n lo = float(\"inf\")\n loind = -1\n # curr is the next lowest\n a,b = points[curr]\n for r in remain:\n x,y = points[r]\n tempdist = abs(x-a) + abs(y-b)\n if tempdist < dist[r]:\n dist[r] = tempdist\n tempdist = dist[r]\n \n if tempdist < lo:\n lo = tempdist\n loind = r\n \n res += lo\n \n curr = loind\n # remove curr from remain\n remain.discard(curr)\n \n return res": 0.0, "class Solution:\n def minCostConnectPoints(self, points: List[List[int]]) -> int:\n n = len(points)\n dist = [float(\"inf\")] * n\n remain = set()\n for i in range(0,n):\n remain.add(i)\n dist[0] = 0\n remain.discard(0)\n curr = 0\n res = 0\n while len(remain) > 0:\n lo = float(\"inf\")\n loind = -1\n # curr is the next lowest\n a,b = points[curr]\n for r in remain:\n x,y = points[r]\n tempdist = abs(x-a) - abs(y-b)\n if tempdist < dist[r]:\n dist[r] = tempdist\n tempdist = dist[r]\n \n if tempdist < lo:\n lo = tempdist\n loind = r\n \n res += lo\n \n curr = loind\n # remove curr from remain\n remain.discard(curr)\n \n return res": 0.0, "class Solution:\n def minCostConnectPoints(self, points: List[List[int]]) -> int:\n n = len(points)\n dist = [float(\"inf\")] * n\n remain = set()\n for i in range(0,n):\n remain.add(i)\n dist[0] = 0\n remain.discard(0)\n curr = 0\n res = 0\n while len(remain) > 0:\n lo = float(\"inf\")\n loind = -1\n # curr is the next lowest\n a,b = points[curr]\n for r in remain:\n x,y = points[r]\n tempdist = abs(x-a) + abs(y-b)\n if tempdist != dist[r]:\n dist[r] = tempdist\n tempdist = dist[r]\n \n if tempdist < lo:\n lo = tempdist\n loind = r\n \n res += lo\n \n curr = loind\n # remove curr from remain\n remain.discard(curr)\n \n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array\u00a0points\u00a0representing integer coordinates of some points on a 2D-plane, where points[i] = [xi, yi].\n\nThe cost of connecting two points [xi, yi] and [xj, yj] is the manhattan distance between them:\u00a0|xi - xj| + |yi - yj|, where |val| denotes the absolute value of\u00a0val.\n\nReturn\u00a0the minimum cost to make all points connected. All points are connected if there is exactly one simple path between any two points.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Today, Wet Shark is given n integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark. \n\n\n\nNote, that if Wet Shark uses no integers from the n integers, the sum is an even integer 0.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer, n (1 \u2264 n \u2264 100 000). The next line contains n space separated integers given to Wet Shark. Each of these integers is in range from 1 to 10^9, inclusive. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum possible even sum that can be obtained if we use some of the given integers.", "responses": { "def main():\n n = int(input())\n a = [int(i) for i in input().split()]\n \n cnt = 0\n mi = 10 ** 9\n for i in a:\n if i % 2 == 1:\n cnt ^= 1\n mi = min(mi, i)\n \n if not cnt:\n mi = 0\n print(sum(a) - mi)\n \n \nmain()": 1.0, "def main():\n n = int(input())\n a = [int(i) for i in input().split()]\n \n cnt = 0\n mi = 10 ** 9\n for i in a:\n if i % 2 == 1:\n cnt ^= 1\n mi = min(mi, i)\n \n if not cnt:\n mi = 0\n print(sum(a) + mi)\n \n \nmain()": 0.0, "def main():\n n = int(input())\n a = [int(i) for i in input().split()]\n \n cnt = 0\n mi = 10 ** 9\n for i in a:\n if i % 2 == 1:\n cnt ^= 1\n mi = max(mi, i)\n \n if not cnt:\n mi = 0\n print(sum(a) - mi)\n \n \nmain()": 0.0, "def main():\n n = int(input())\n a = [int(i) for i in input().split()]\n \n mi = 10 ** 9\n for i in a:\n if i % 2 == 1:\n mi = min(mi, i)\n \n print(sum(a) - mi)\n \n \nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nToday, Wet Shark is given n integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark. \n\n\n\nNote, that if Wet Shark uses no integers from the n integers, the sum is an even integer 0.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer, n (1 \u2264 n \u2264 100 000). The next line contains n space separated integers given to Wet Shark. Each of these integers is in range from 1 to 10^9, inclusive. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum possible even sum that can be obtained if we use some of the given integers.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef Loves to listen to remix songs, but currently he had already finished the entire playlist of remix songs.\n\nAs Chef is smart, so he thought let's make my own remix songs of the original songs.\n\nChef is not having much knowledge of making remix songs, so he came up with the simple technique in which he will pick the word which contains the smallest number of characters from the lyrics of the song, and then he will append that word to the start and end of the lyrics, also Chef will insert this word between every two words of the lyrics.\n\nNote: While inserting a new word Chef will also insert extra white-spaces, so that every word in the final remixed lyrics is separated by space.\n\nIt is Recommended to use fast Input/Ouput techniques.\n\n\n\n-----Input:-----\n\n- The input contains the text $S$, which denotes the lyrics of the song.\n\n\n\n-----Output:-----\n\n- Print the Remixed, lyrics as done by Chef.\n\n\n\n-----Constraints:-----\n\n- $1 \\leq Length of text $S$ \\leq 10^7$\n\n\n\n-----Sample Input:-----\n\nMai Hu Jiyaan\n\n\n\n-----Sample Output:-----\n\nHu Mai Hu Hu Hu Jiyaan Hu", "responses": { "m= 9999999\r\nword=''\r\np= ''\r\ntry:\r\n s=input().split()\r\n for i in s:\r\n if(len(i) <= m):\r\n m = len(i)\r\n word = i\r\n p = word\r\n for i in s:\r\n p+= (' '+i+' '+ word)\r\n \r\n print(p)\r\n\r\n \r\nexcept EOFError:\r\n\r\n pass": 1.0, "m= 9999999\nword=''\np= ''\ntry:\n s=input().split()\n for i in s:\n if(len(i) <= m):\n m = len(i)\n word = i\n p = word\n for i in s:\n p+= (' '+i+' '+ word)\n \n print(p)\n\n \nexcept ValueError: # The bug is here, should be EOFError\n\n pass": 0.0, "m= 9999999\nword=''\np= ''\ntry:\n s=input().split()\n for i in s:\n if(len(i) >= m): # The bug is here, should be <=\n m = len(i)\n word = i\n p = word\n for i in s:\n p+= (' '+i+' '+ word)\n \n print(p)\n\n \nexcept EOFError:\n\n pass": 0.0, "m= 9999999\nword=''\np= ''\ntry:\n s=input().split()\n for i in s:\n if(len(i) <= m):\n m = len(i)\n word = i\n p = word\n for i in range(len(s)): # The bug is here, should be for i in s:\n p+= (' '+s[i]+' '+ word)\n \n print(p)\n\n \nexcept EOFError:\n\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef Loves to listen to remix songs, but currently he had already finished the entire playlist of remix songs.\n\nAs Chef is smart, so he thought let's make my own remix songs of the original songs.\n\nChef is not having much knowledge of making remix songs, so he came up with the simple technique in which he will pick the word which contains the smallest number of characters from the lyrics of the song, and then he will append that word to the start and end of the lyrics, also Chef will insert this word between every two words of the lyrics.\n\nNote: While inserting a new word Chef will also insert extra white-spaces, so that every word in the final remixed lyrics is separated by space.\n\nIt is Recommended to use fast Input/Ouput techniques.\n\n\n\n-----Input:-----\n\n- The input contains the text $S$, which denotes the lyrics of the song.\n\n\n\n-----Output:-----\n\n- Print the Remixed, lyrics as done by Chef.\n\n\n\n-----Constraints:-----\n\n- $1 \\leq Length of text $S$ \\leq 10^7$\n\n\n\n-----Sample Input:-----\n\nMai Hu Jiyaan\n\n\n\n-----Sample Output:-----\n\nHu Mai Hu Hu Hu Jiyaan Hu\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent.\n\n\n\nA mapping of digit to letters (just like on the telephone buttons) is given below. Note that 1 does not map to any letters.\n\n\n\n\n\n\n\nExample:\n\n\n\n\n\nInput: \"23\"\n\nOutput: [\"ad\", \"ae\", \"af\", \"bd\", \"be\", \"bf\", \"cd\", \"ce\", \"cf\"].\n\n\n\n\n\nNote:\n\n\n\nAlthough the above answer is in lexicographical order, your answer could be in any order you want.", "responses": { "class Solution:\n def letterCombinations(self, digits):\n \"\"\"\n :type digits: str\n :rtype: List[str]\n \"\"\"\n \n def dfs(digits, current, result):\n if not digits:\n result.append(current)\n return\n for c in dic[digits[0]]:\n dfs(digits[1:], current + c, result)\n \n \n if not digits:\n return []\n \n dic = { '2' : \"abc\", '3': \"def\", '4':\"ghi\", \n '5':\"jkl\", '6':\"mno\", '7':\"pqrs\", '8':\"tuv\",'9': \"wxyz\" }\n result = []\n dfs(digits, \"\", result)\n return result\n \n \n \n ": 1.0, "class Solution:\n def letterCombinations(self, digits):\n def dfs(digits, current, result):\n if not digits:\n result.append(current)\n return\n for c in dic[digits[0]]:\n dfs(digits[1:], current + c, result)\n \n \n if not digits:\n return []\n \n dic = { '2' : \"abc\", '3': \"def\", '4':\"ghi\", \n '5':\"jkl\", '6':\"mno\", '7':\"pqrs\", '8':\"tuv\",'9': \"wxyz\" }\n result = []\n dfs(digits, \"\", result)\n return result": 0.0, "class Solution:\n def letterCombinations(self, digits):\n \"\"\"\n :type digits: str\n :rtype: List[str]\n \"\"\"\n \n def dfs(digits, current, result):\n if not digits:\n result.append(current)\n return\n for c in dic[digits[1]]:\n dfs(digits, current + c, result)\n \n \n if not digits:\n return []\n \n dic = { '2' : \"abc\", '3': \"def\", '4':\"ghi\", \n '5':\"jkl\", '6':\"mno\", '7':\"pqrs\", '8':\"tuv\",'9': \"wxyz\" }\n result = []\n dfs(digits, \"\", result)\n return result": 0.0, "class Solution:\n def letterCombinations(self, digits):\n \"\"\"\n :type digits: str\n :rtype: List[str]\n \"\"\"\n \n def dfs(digits, current, result):\n if not digits:\n result.append(current)\n return\n for c in dic[digits[0]]:\n dfs(digits[1:], current, result)\n \n \n if not digits:\n return []\n \n dic = { '2' : \"abc\", '3': \"def\", '4':\"ghi\", \n '5':\"jkl\", '6':\"mno\", '7':\"pqrs\", '8':\"tuv\",'9': \"wxyz\" }\n result = []\n dfs(digits, \"\", result)\n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent.\n\n\n\nA mapping of digit to letters (just like on the telephone buttons) is given below. Note that 1 does not map to any letters.\n\n\n\n\n\n\n\nExample:\n\n\n\n\n\nInput: \"23\"\n\nOutput: [\"ad\", \"ae\", \"af\", \"bd\", \"be\", \"bf\", \"cd\", \"ce\", \"cf\"].\n\n\n\n\n\nNote:\n\n\n\nAlthough the above answer is in lexicographical order, your answer could be in any order you want.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence of a journey in London, UK. The sequence will contain bus **numbers** and TFL tube names as **strings** e.g.\n\n\n\n```python\n\n['Northern', 'Central', 243, 1, 'Victoria']\n\n```\n\nJourneys will always only contain a combination of tube names and bus numbers. Each tube journey costs `\u00a32.40` and each bus journey costs `\u00a31.50`. If there are `2` or more adjacent bus journeys, the bus fare is capped for sets of two adjacent buses and calculated as one bus fare for each set.\n\n\n\nYour task is to calculate the total cost of the journey and return the cost `rounded to 2 decimal places` in the format (where x is a number): `\u00a3x.xx`", "responses": { "def london_city_hacker(journey): \n # your code here\n tube = 2.40\n bus = 1.50\n total_cost = 0.00\n count = 0\n for link in journey:\n if isinstance(link, str):\n total_cost += tube\n count = 0\n else:\n if count == 0:\n total_cost += bus\n count +=1\n else:\n count = 0\n return '\u00a3{:.2f}'.format(total_cost)": 1.0, "```python\ndef london_city_hacker(journey): \n tube = 2.40\n bus = 1.50\n total_cost = 0.00\n count = 0\n for link in journey:\n if isinstance(link, int):\n total_cost += tube # Bug: charging tube fare for bus journey\n count = 0\n else:\n if count == 0:\n total_cost += bus\n count +=1\n else:\n count = 0\n return '\u00a3{:.2f}'.format(total_cost)\n```": 0.0, "```python\ndef london_city_hacker(journey): \n tube = 2.40\n bus = 1.50\n total_cost = 0.00\n count = 0\n for link in journey:\n if isinstance(link, str):\n total_cost += tube\n count = 0\n else:\n count += 1 # Bug: not resetting count when bus fare is charged\n if count == 0:\n total_cost += bus\n else:\n count = 0\n return '\u00a3{:.2f}'.format(total_cost)\n```": 0.0, "```python\ndef london_city_hacker(journey): \n tube = 2.40\n bus = 1.50\n total_cost = 0.00\n count = 0\n for link in journey:\n if isinstance(link, str):\n total_cost += tube\n count = 0\n else:\n if count == 0:\n total_cost += bus\n count -= 1 # Bug: decrementing count instead of incrementing\n else:\n count = 0\n return '\u00a3{:.2f}'.format(total_cost)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence of a journey in London, UK. The sequence will contain bus **numbers** and TFL tube names as **strings** e.g.\n\n\n\n```python\n\n['Northern', 'Central', 243, 1, 'Victoria']\n\n```\n\nJourneys will always only contain a combination of tube names and bus numbers. Each tube journey costs `\u00a32.40` and each bus journey costs `\u00a31.50`. If there are `2` or more adjacent bus journeys, the bus fare is capped for sets of two adjacent buses and calculated as one bus fare for each set.\n\n\n\nYour task is to calculate the total cost of the journey and return the cost `rounded to 2 decimal places` in the format (where x is a number): `\u00a3x.xx`\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Natasha is planning an expedition to Mars for $n$ people. One of the important tasks is to provide food for each participant.\n\n\n\nThe warehouse has $m$ daily food packages. Each package has some food type $a_i$.\n\n\n\nEach participant must eat exactly one food package each day. Due to extreme loads, each participant must eat the same food type throughout the expedition. Different participants may eat different (or the same) types of food.\n\n\n\nFormally, for each participant $j$ Natasha should select his food type $b_j$ and each day $j$-th participant will eat one food package of type $b_j$. The values $b_j$ for different participants may be different.\n\n\n\nWhat is the maximum possible number of days the expedition can last, following the requirements above?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $m$ ($1 \\le n \\le 100$, $1 \\le m \\le 100$)\u00a0\u2014 the number of the expedition participants and the number of the daily food packages available.\n\n\n\nThe second line contains sequence of integers $a_1, a_2, \\dots, a_m$ ($1 \\le a_i \\le 100$), where $a_i$ is the type of $i$-th food package.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the single integer\u00a0\u2014 the number of days the expedition can last. If it is not possible to plan the expedition for even one day, print 0.", "responses": { "n, k = map(int, input().split())\na = list(map(int, input().split()))\nday = 1\ndef poss(day):\n\tq = 0\n\tmp = dict()\n\tfor el in a:\n\t\tif el not in mp:\n\t\t\tmp[el] = 1\n\t\telse:\n\t\t\tmp[el] += 1\n\tfor el in mp:\n\t\tq += mp[el] // day\n\treturn q >= n\nwhile poss(day):\n\tday += 1\nprint(day - 1)": 1.0, "n, m = map(int, input().split())\na = list(map(int, input().split()))\nday = 1\ndef poss(day):\n q = 0\n mp = dict()\n for el in a:\n if el not in mp:\n mp[el] = 1\n else:\n mp[el] += \n for el in mp:\n q += mp[el] // day\n return q >= n\nwhile poss(day):\n day += 1\nprint(day - 1)": 0.0, "n, m = map(int, input().split())\na = list(map(int, input().split()))\nday = 1\ndef poss(day):\n q = 0\n mp = dict()\n \n for el in a:\n if el not in mp:\n mp[el] = 1\n else:\n mp[el] += 1\n for el in mp:\n q += mp[el] // day\n return q >= n\nwhile poss(day):\n dag += 1\nprint(day - 1)": 0.0, "n, m = map(int, input().split())\na = list(map(int, input().split()))\nday = \ndef poss(day):\n q = 0\n mp = dict()\n for el in a:\n if el not in mp:\n mp[el] = 1\n else:\n mp[el] += 1\n for el in mp:\n q += mp[el] // day\n return q >= n\nwhile poss(day):\n day += 1\nprint(day - 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nNatasha is planning an expedition to Mars for $n$ people. One of the important tasks is to provide food for each participant.\n\n\n\nThe warehouse has $m$ daily food packages. Each package has some food type $a_i$.\n\n\n\nEach participant must eat exactly one food package each day. Due to extreme loads, each participant must eat the same food type throughout the expedition. Different participants may eat different (or the same) types of food.\n\n\n\nFormally, for each participant $j$ Natasha should select his food type $b_j$ and each day $j$-th participant will eat one food package of type $b_j$. The values $b_j$ for different participants may be different.\n\n\n\nWhat is the maximum possible number of days the expedition can last, following the requirements above?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $m$ ($1 \\le n \\le 100$, $1 \\le m \\le 100$)\u00a0\u2014 the number of the expedition participants and the number of the daily food packages available.\n\n\n\nThe second line contains sequence of integers $a_1, a_2, \\dots, a_m$ ($1 \\le a_i \\le 100$), where $a_i$ is the type of $i$-th food package.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the single integer\u00a0\u2014 the number of days the expedition can last. If it is not possible to plan the expedition for even one day, print 0.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n*\n\n*\n\n*\n\n*\n\n***\n\n***\n\n*\n\n*\n\n***\n\n***\n\n*****\n\n*****\n\n*\n\n*\n\n***\n\n***\n\n*****\n\n*****\n\n*******\n\n*******\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "for i in range(int(input())):\n n=int(input())\n p=1\n l=n-1\n for j in range(n):\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"*\",end='')\n print()\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"*\",end='')\n print()\n p+=2\n l-=1\n ": 1.0, "for i in range(int(input())):\n n=int(input())\n p=1\n l=n-1\n for j in range(n):\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"**\",end='') # Double asterisk\n print()\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"*\",end='')\n print()\n p+=2\n l-=1": 0.0, "for i in range(int(input())):\n n=int(input())\n p=1\n l=n-1\n for j in range(n):\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"*\",end='')\n print()\n for k in range(l):\n print(\" \",end='') # Two spaces instead of one\n for k in range(p):\n print(\"*\",end='')\n print()\n p+=2\n l-=1": 0.0, "for i in range(int(input())):\n n=int(input())\n p=1\n l=n-1\n for j in range(n):\n for k in range(l):\n print(\" \",end='')\n for k in range(p):\n print(\"*\",end='')\n print()\n for k in range(l):\n print(\" \",end='')\n for k in range(p+1): # Adding 1 extra asterisk\n print(\"*\",end='')\n print()\n p+=2\n l-=1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n*\n\n*\n\n*\n\n*\n\n***\n\n***\n\n*\n\n*\n\n***\n\n***\n\n*****\n\n*****\n\n*\n\n*\n\n***\n\n***\n\n*****\n\n*****\n\n*******\n\n*******\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "On a table are N cards, with a positive integer printed on the front and back of each card (possibly different).\n\nWe flip any number of cards, and after we choose one\u00a0card.\u00a0\n\nIf the number X on the back of the chosen\u00a0card is not on the front of any card, then this number X is good.\n\nWhat is the smallest number that is good?\u00a0 If no number is good, output 0.\n\nHere, fronts[i] and backs[i] represent the number on the front and back of card i.\u00a0\n\nA\u00a0flip swaps the front and back numbers, so the value on the front is now on the back and vice versa.\n\nExample:\n\nInput: fronts = [1,2,4,4,7], backs = [1,3,4,1,3]\n\nOutput: 2\n\nExplanation: If we flip the second card, the fronts are [1,3,4,4,7] and the backs are [1,2,4,1,3].\n\nWe choose the second card, which has number 2 on the back, and it isn't on the front of any card, so 2 is good.\n\n\u00a0\n\nNote:\n\n\n\n1 <= fronts.length == backs.length\u00a0<=\u00a01000.\n\n1 <=\u00a0fronts[i]\u00a0<= 2000.\n\n1 <= backs[i]\u00a0<= 2000.", "responses": { "class Solution:\n def flipgame(self, fronts: List[int], backs: List[int]) -> int:\n w = set(fronts[i] for i in range(len(fronts)) if fronts[i] == backs[i])\n \n x = set()\n for a in fronts:\n if a not in w:\n x.add(a)\n for a in backs:\n if a not in w:\n x.add(a)\n \n if not x:\n return 0\n return min(x)": 1.0, "class Solution:\n def flipgame(self, fronts: List[int], backs: List[int]) -> int:\n w = set(fronts[i] for i in range(len(fronts)) if fronts[i] == backs[i])\n \n x = set()\n for a in fronts:\n if a not in w:\n x.add(a)\n for a in backs:\n if a in w: # This line has a bug\n x.add(a)\n \n if not x:\n return 0\n return min(x)": 0.0, "class Solution:\n def flipgame(self, fronts: List[int], backs: List[int]) -> int:\n w = set(fronts[i] for i in range(len(fronts)) if fronts[i] == backs[i])\n \n x = set()\n for a in fronts:\n if a in x: # This line has a bug\n x.add(a)\n for a in backs:\n if a not in w:\n x.add(a)\n \n if not x:\n return 0\n return min(x)": 0.0, "class Solution:\n def flipgame(self, fronts: List[int], backs: List[int]) -> int:\n w = set(fronts[i] for i in range(len(fronts)) if fronts[i] == backs[i])\n \n x = set()\n for a in fronts:\n if a not in w:\n x.add(a)\n for a in backs:\n if a not in w:\n x.remove(a) # This line has a bug\n \n if not x:\n return 0\n return min(x)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOn a table are N cards, with a positive integer printed on the front and back of each card (possibly different).\n\nWe flip any number of cards, and after we choose one\u00a0card.\u00a0\n\nIf the number X on the back of the chosen\u00a0card is not on the front of any card, then this number X is good.\n\nWhat is the smallest number that is good?\u00a0 If no number is good, output 0.\n\nHere, fronts[i] and backs[i] represent the number on the front and back of card i.\u00a0\n\nA\u00a0flip swaps the front and back numbers, so the value on the front is now on the back and vice versa.\n\nExample:\n\nInput: fronts = [1,2,4,4,7], backs = [1,3,4,1,3]\n\nOutput: 2\n\nExplanation: If we flip the second card, the fronts are [1,3,4,4,7] and the backs are [1,2,4,1,3].\n\nWe choose the second card, which has number 2 on the back, and it isn't on the front of any card, so 2 is good.\n\n\u00a0\n\nNote:\n\n\n\n1 <= fronts.length == backs.length\u00a0<=\u00a01000.\n\n1 <=\u00a0fronts[i]\u00a0<= 2000.\n\n1 <= backs[i]\u00a0<= 2000.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The name of our college is \"Government College of Engineering and Textile Technology Berhampore\". There is another college named \"Government College of Engineering and Textile Technology Serampore\". As the names are quite similar, those who are unaware of existence of both the colleges, often get confused. And mistake one with other.\n\n\n\nGiven a string, if it contains the word berhampore (case insensitive), print GCETTB or if it contains serampore(case-insensitive), print GCETTS . If the string contains neither print Others. If it contains both Berhampore and Serampore print Both \n\nInput \n\n- First line contains single integer T, No. of test case \n\n- Next line for every test contain case a string S \n\nOutput\n\n\n\nPrint GCETTB or GCETTS or Others or Both on a new line\n\nConstraints \n\n- 1 <= T <= 10 \n\n- 0 <= len(S) <= 100 \n\n- S contain a-z and A-Z and space only\n\nSample Input\n\n3\n\nGovernment clg Berhampore\n\nSeRaMporE textile college \n\nGirls college Kolkata\n\n\n\nSample Output\n\n\n\nGCETTB\n\n\n\nGCETTS\n\n\n\nOthers \n\nExplanation\n\n\n\nSelf-Explanatory", "responses": { "try:\n t=int(input()) \n for i in range(t):\n n=input() \n n=n.lower()\n a=\"berhampore\"\n b=\"serampore\"\n if a in n:\n if b in n:\n print(\"Both\")\n else:\n print(\"GCETTB\")\n elif b in n:\n if a in n:\n print(\"Both\")\n else:\n print(\"GCETTS\")\n else:\n print(\"Others\")\nexcept Exception as e:\n pass": 1.0, "try:\n t=int(input()) \n for i in range(t):\n n=input() \n n=n.lower()\n a=\"Berhampore\"\n b=\"serampore\"\n if a in n:\n if b in n:\n print(\"Both\")\n else:\n print(\"GCETTB\")\n elif b in n:\n if a in n:\n print(\"Both\")\n else:\n print(\"GCETTS\")\n else:\n print(\"Others\")\nexcept Exception as e:\n pass": 0.0, "try:\n t=int(input()) \n for i in range(t):\n n=input() \n n=n.lower()\n a=\"berhampore \"\n b=\"serampore\"\n if a in n:\n if b in n:\n print(\"Both\")\n else:\n print(\"GCETTB\")\n elif b in n:\n if a in n:\n print(\"Both\")\n else:\n print(\"GCETTS\")\n else:\n print(\"Others\")\nexcept Exception as e:\n pass": 0.0, "try:\n t=int(input()) \n for i in range(t):\n n=input() \n n=n.lower()\n a=\"berhampore\"\n b=\"Serampore\"\n if a in n:\n if b in n:\n print(\"Both\")\n else:\n print(\"GCETTB\")\n elif b in n:\n if a in n:\n print(\"Both\")\n else:\n print(\"GCETTS\")\n else:\n print(\"Others\")\nexcept Exception as e:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe name of our college is \"Government College of Engineering and Textile Technology Berhampore\". There is another college named \"Government College of Engineering and Textile Technology Serampore\". As the names are quite similar, those who are unaware of existence of both the colleges, often get confused. And mistake one with other.\n\n\n\nGiven a string, if it contains the word berhampore (case insensitive), print GCETTB or if it contains serampore(case-insensitive), print GCETTS . If the string contains neither print Others. If it contains both Berhampore and Serampore print Both \n\nInput \n\n- First line contains single integer T, No. of test case \n\n- Next line for every test contain case a string S \n\nOutput\n\n\n\nPrint GCETTB or GCETTS or Others or Both on a new line\n\nConstraints \n\n- 1 <= T <= 10 \n\n- 0 <= len(S) <= 100 \n\n- S contain a-z and A-Z and space only\n\nSample Input\n\n3\n\nGovernment clg Berhampore\n\nSeRaMporE textile college \n\nGirls college Kolkata\n\n\n\nSample Output\n\n\n\nGCETTB\n\n\n\nGCETTS\n\n\n\nOthers \n\nExplanation\n\n\n\nSelf-Explanatory\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces.\n\n\n\nYou are asked to calculate the number of ways he can do it. Two ways to break chocolate are considered distinct if one of them contains a break between some two adjacent pieces and the other one doesn't. \n\n\n\nPlease note, that if Bob doesn't make any breaks, all the bar will form one piece and it still has to have exactly one nut.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (1 \u2264 n \u2264 100)\u00a0\u2014 the number of pieces in the chocolate bar.\n\n\n\nThe second line contains n integers a_{i} (0 \u2264 a_{i} \u2264 1), where 0 represents a piece without the nut and 1 stands for a piece with the nut.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of ways to break the chocolate into multiple parts so that each part would contain exactly one nut.", "responses": { "x = int(input())\ny = list(map(int, input().split(' ')))\nif y == [0] * x:\n print(0)\n quit()\nfor i in range(x):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nfor i in range(len(y)):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nl = []\nct = 0\nfor i in y:\n if i == 0:\n ct+=1\n if i == 1 and ct != 0:\n l.append(ct)\n ct = 0\nk = 1\nfor i in l:\n k *= (i+1)\nprint(k)": 1.0, "x = int(input())\ny = list(map(int, input().split(' ')))\nif y = [0] * x:\n print(0)\n quit()\nfor i in range(x):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nfor i in range(len(y)):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nl = []\nct = 0\nfor i in y:\n if i == 0:\n ct+=1\n if i == 1 and ct != 0:\n l.append(ct)\n ct = 0\nk = 1\nfor i in l:\n k *= (i+1)\nprint(k)": 0.0, "x = int(input())\ny = list(map(int, input().split(' ')))\nif y == [0] x:\n print(0)\n quit()\nfor i in range(x):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nfor i in range(len(y)):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nl = []\nct = 0\nfor i in y:\n if i == 0:\n ct+=1\n if i == 1 and ct != 0:\n l.append(ct)\n ct = 0\nk = 1\nfor i in l:\n k *= (i+1)\nprint(k)": 0.0, "x = int(input())\ny = list(map(int, input().split(' ')))\nif y == [0] * x:\n print(0)\n quit()\nfor i in range(x):\n if y[i] == 1:\n y = y[i:]\n break\ny.revrse()\nfor i in range(len(y)):\n if y[i] == 1:\n y = y[i:]\n break\ny.reverse()\nl = []\nct = 0\nfor i in y:\n if i == 0:\n ct+=1\n if i == 1 and ct != 0:\n l.append(ct)\n ct = 0\nk = 1\nfor i in l:\n k *= (i+1)\nprint(k)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces.\n\n\n\nYou are asked to calculate the number of ways he can do it. Two ways to break chocolate are considered distinct if one of them contains a break between some two adjacent pieces and the other one doesn't. \n\n\n\nPlease note, that if Bob doesn't make any breaks, all the bar will form one piece and it still has to have exactly one nut.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (1 \u2264 n \u2264 100)\u00a0\u2014 the number of pieces in the chocolate bar.\n\n\n\nThe second line contains n integers a_{i} (0 \u2264 a_{i} \u2264 1), where 0 represents a piece without the nut and 1 stands for a piece with the nut.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of ways to break the chocolate into multiple parts so that each part would contain exactly one nut.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Is there anything better than going to the zoo after a tiresome week at work? No wonder Grisha feels the same while spending the entire weekend accompanied by pretty striped zebras. \n\n\n\nInspired by this adventure and an accidentally found plasticine pack (represented as a sequence of black and white stripes), Grisha now wants to select several consequent (contiguous) pieces of alternating colors to create a zebra. Let's call the number of selected pieces the length of the zebra.\n\n\n\nBefore assembling the zebra Grisha can make the following operation $0$ or more times. He splits the sequence in some place into two parts, then reverses each of them and sticks them together again. For example, if Grisha has pieces in the order \"bwbbw\" (here 'b' denotes a black strip, and 'w' denotes a white strip), then he can split the sequence as bw|bbw (here the vertical bar represents the cut), reverse both parts and obtain \"wbwbb\".\n\n\n\nDetermine the maximum possible length of the zebra that Grisha can produce.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains a string $s$ ($1 \\le |s| \\le 10^5$, where $|s|$ denotes the length of the string $s$) comprised of lowercase English letters 'b' and 'w' only, where 'w' denotes a white piece and 'b' denotes a black piece.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the maximum possible zebra length.", "responses": { "a = input()\na = a + a\nma = 1\nlast = 'x'\npos = 0\ncur = 0\nwhile pos < len(a):\n\tif a[pos] != last:\n\t\tcur += 1\n\t\tma = max(ma, cur)\n\telse:\n\t\tcur = 1\n\tlast = a[pos]\n\tpos += 1\nprint(min(ma, len(a) // 2))": 1.0, "a = input()\na = a + a\nma = 1\nlast = 'x'\npos = 0\ncur = 0\nwhile pos < len(a):\n\tif a[pos] != last:\n\t\tcur += 1\n\t\tma = max(ma, cur)\n\telse:\n\t\tcur = 1\n\tpos += 1\nprint(min(ma, len(a) // 2))": 0.0, "a = input()\na = a + a\nma = 1\nlast = 'x'\npos = 0\ncur = 0\nwhile pos < len(a):\n\tif a[pos] != last:\n\t\tcur += 1\n\telse:\n\t\tcur = 1\n\tlast = a[pos]\n\tpos += 1\nprint(min(ma, len(a) // 2))": 0.0, "a = input()\na == a + a\nma = 1\nlast = 'x'\npos = 0\ncur = 0\nwhile pos < len(a):\n\tif a[pos] != last:\n\t\tcur += 1\n\t\tma = max(ma, cur)\n\tlast = a[pos]\n\tpos += 1\nprint(min(ma, len(a) // 2))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIs there anything better than going to the zoo after a tiresome week at work? No wonder Grisha feels the same while spending the entire weekend accompanied by pretty striped zebras. \n\n\n\nInspired by this adventure and an accidentally found plasticine pack (represented as a sequence of black and white stripes), Grisha now wants to select several consequent (contiguous) pieces of alternating colors to create a zebra. Let's call the number of selected pieces the length of the zebra.\n\n\n\nBefore assembling the zebra Grisha can make the following operation $0$ or more times. He splits the sequence in some place into two parts, then reverses each of them and sticks them together again. For example, if Grisha has pieces in the order \"bwbbw\" (here 'b' denotes a black strip, and 'w' denotes a white strip), then he can split the sequence as bw|bbw (here the vertical bar represents the cut), reverse both parts and obtain \"wbwbb\".\n\n\n\nDetermine the maximum possible length of the zebra that Grisha can produce.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains a string $s$ ($1 \\le |s| \\le 10^5$, where $|s|$ denotes the length of the string $s$) comprised of lowercase English letters 'b' and 'w' only, where 'w' denotes a white piece and 'b' denotes a black piece.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the maximum possible zebra length.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef is good at making pancakes. Generally he gets requests to serve N pancakes at once.\n\nHe serves them in the form of a stack.\n\nA pancake can be treated as a circular disk with some radius.\n\nChef needs to take care that when he places a pancake on the top of the stack the radius of the pancake should not exceed the radius of the largest pancake in the stack by more than 1. \n\nAdditionally all radii should be positive integers, and the bottom most pancake should have its radius as 1.\n\nChef wants you to find out in how many ways can he create a stack containing N pancakes.\n\nInput\n\nFirst line of the input contains T (T <= 1000) denoting the number of test cases.\n\nT lines follow each containing a single integer N (1 <= N <= 1000) denoting the size of the required stack.\n\nOutput\n\nFor each case the output should be a single integer representing the number of ways a stack of size N can be created. As the answer can be large print it modulo 1000000007.\n\nExample\n\nInput\n\n2\n\n1\n\n2\n\n\n\nOutput\n\n1\n\n2", "responses": { "t=[[1]]\ndef bell_numbers(start, stop):\n ## Swap start and stop if start > stop\n if stop < start: start, stop = stop, start\n if start < 1: start = 1\n if stop < 1: stop = 1\n c = 1 ## Bell numbers count\n while c <= stop:\n if c >= start:\n yield t[-1][0] ## Yield the Bell number of the previous \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0row\n row = [t[-1][-1]] ## Initialize a new row\n for b in t[-1]:\n row.append((row[-1] + b)%1000000007)\n c += 1 ## We have found another Bell number\n t.append(row) ## Append the row to the triangle\nar=[0]*1001\ni=0\nfor b in bell_numbers(1,1001):\n ar[i]=b\n i+=1\nT=eval(input())\nwhile T:\n N=eval(input())\n print(ar[N])\n T-=1": 1.0, "t=[[1]]\ndef bell_numbers(start, stop):\n ## Swap start and stop if start > stop\n if stop < start: start, stop = stop, start\n if start < 1: start = 1\n if stop < 1: stop = 1\n c = 1 ## Bell numbers count\n while c <= stop:\n if c >= start:\n yield t[-1][0] ## Yield the Bell number of the previous \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0row\n row = [t[-1][-1]] ## Initialize a new row\n for b in t[-1]:\n row.append((row[-1] + b)%1000000007)\n c += 1 ## We have found another Bell number\n t.append(row) ## Append the row to the triangle\nar=[0]*1001\ni=0\ndef test_case():\n T=eval(input())\n while T:\n N=eval(input())\n print(ar[N])\n T-=1\n\ntest_case()": 0.0, "t=[[1]]\ndef bell_numbers(start, stop):\n ## Swap start and stop if start > stop\n if stop < start: start, stop = stop, start\n if start < 1: start = 1\n if stop < 1: stop = 1\n c = 1 ## Bell numbers count\n while c <= stop:\n if c >= start:\n yield t[-1][0\n row = [t[-1][-1]] ## Initialize a new row\n for b in t[-1]:\n row.append((row[-1] + b)%1000000007)\n c += 1 ## We have found another Bell number\n t.append(row) ## Append the row to the triangle\nar=[0]*1001\ni=0\ndef test_case():\n T=eval(input())\n while T:\n N=eval(input())\n print(ar[N])\n T-=1\n\ntest_case()": 0.0, "t=[[1]]\ndef bell_numbers(start, stop):\n ## Swap start and stop if start > stop\n if stop < start: start, stop = stop, start\n if start < 1: start = 1\n if stop < 1: stop = 1\n c = 1 ## Bell numbers count\n while c <= stop:\n if c >= start:\n yield t[-1][0]\n row = [t[-1][-1]] ## Initialize a new row\n for b in t[-1]:\n row.append(row[-1] + b)%1000000007) ## Typo in parenthesis\n c += 1 ## We have found another Bell number\n t.append(row) ## Append the row to the triangle\nar=[0]*1001\ni=0\ndef test_case():\n T=eval(input())\n while T:\n N=eval(input())\n print(ar[N])\n T-=1\n\ntest_case()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef is good at making pancakes. Generally he gets requests to serve N pancakes at once.\n\nHe serves them in the form of a stack.\n\nA pancake can be treated as a circular disk with some radius.\n\nChef needs to take care that when he places a pancake on the top of the stack the radius of the pancake should not exceed the radius of the largest pancake in the stack by more than 1. \n\nAdditionally all radii should be positive integers, and the bottom most pancake should have its radius as 1.\n\nChef wants you to find out in how many ways can he create a stack containing N pancakes.\n\nInput\n\nFirst line of the input contains T (T <= 1000) denoting the number of test cases.\n\nT lines follow each containing a single integer N (1 <= N <= 1000) denoting the size of the required stack.\n\nOutput\n\nFor each case the output should be a single integer representing the number of ways a stack of size N can be created. As the answer can be large print it modulo 1000000007.\n\nExample\n\nInput\n\n2\n\n1\n\n2\n\n\n\nOutput\n\n1\n\n2\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence of positive integers of length N, A=a_1,a_2,\u2026,a_{N}, and an integer K.\n\nHow many contiguous subsequences of A satisfy the following condition?\n\n - (Condition) The sum of the elements in the contiguous subsequence is at least K.\n\nWe consider two contiguous subsequences different if they derive from different positions in A, even if they are the same in content.\n\nNote that the answer may not fit into a 32-bit integer type.\n\n\n\n-----Constraints-----\n\n - 1 \\leq a_i \\leq 10^5\n\n - 1 \\leq N \\leq 10^5\n\n - 1 \\leq K \\leq 10^{10}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN K\n\na_1 a_2 ... a_N\n\n\n\n-----Output-----\n\nPrint the number of contiguous subsequences of A that satisfy the condition.\n\n\n\n-----Sample Input-----\n\n4 10\n\n6 1 2 7\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nThe following two contiguous subsequences satisfy the condition:\n\n - A[1..4]=a_1,a_2,a_3,a_4, with the sum of 16\n\n - A[2..4]=a_2,a_3,a_4, with the sum of 10", "responses": { "N,K=map(int,input().split())\nA=list(map(int,input().split()))\nl=0\nr=0\ns=A[0]\nans=0\nwhile True:\n if s>=K:\n ans+=N-r\n s-=A[l]\n l+=1\n else:\n if r= K:\n ans += N - r\n s -= A[l]\n l -= 1 # Bug: should be l += 1\n else:\n if r < N - 1:\n r += 1\n s += A[r]\n else:\n break\n \nprint(ans)": 0.0, "N, K = map(int, input().split())\nA = list(map(int, input().split()))\nl = 0\nr = 0\ns = A[0]\nans = 0\nwhile True:\n if s >= K:\n ans += N - r\n s -= A[l]\n l += 1\n else:\n if r < N: # Bug: should be r < N - 1\n r += 1\n s += A[r]\n else:\n break\n \nprint(ans)": 0.0, "N, K = map(int, input().split())\nA = list(map(int, input().split()))\nl = 0\nr = 0\ns = A[0]\nans = 0\nwhile True:\n if s >= K:\n ans += N - r\n s -= A[l]\n l += 1\n else:\n if r < N - 1:\n r = N # Bug: should be r += 1\n s += A[r]\n else:\n break\n \nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence of positive integers of length N, A=a_1,a_2,\u2026,a_{N}, and an integer K.\n\nHow many contiguous subsequences of A satisfy the following condition?\n\n - (Condition) The sum of the elements in the contiguous subsequence is at least K.\n\nWe consider two contiguous subsequences different if they derive from different positions in A, even if they are the same in content.\n\nNote that the answer may not fit into a 32-bit integer type.\n\n\n\n-----Constraints-----\n\n - 1 \\leq a_i \\leq 10^5\n\n - 1 \\leq N \\leq 10^5\n\n - 1 \\leq K \\leq 10^{10}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN K\n\na_1 a_2 ... a_N\n\n\n\n-----Output-----\n\nPrint the number of contiguous subsequences of A that satisfy the condition.\n\n\n\n-----Sample Input-----\n\n4 10\n\n6 1 2 7\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nThe following two contiguous subsequences satisfy the condition:\n\n - A[1..4]=a_1,a_2,a_3,a_4, with the sum of 16\n\n - A[2..4]=a_2,a_3,a_4, with the sum of 10\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Polycarpus adores TV series. Right now he is ready to finish watching a season of a popular sitcom \"Graph Theory\". In total, the season has n episodes, numbered with integers from 1 to n.\n\n\n\nPolycarpus watches episodes not one by one but in a random order. He has already watched all the episodes except for one. Which episode has Polycaprus forgotten to watch?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (2 \u2264 n \u2264 100000)\u00a0\u2014 the number of episodes in a season. Assume that the episodes are numbered by integers from 1 to n.\n\n\n\nThe second line contains n - 1 integer a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 n)\u00a0\u2014 the numbers of episodes that Polycarpus has watched. All values of a_{i} are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of the episode that Polycarpus hasn't watched.", "responses": { "\"\"\"\nCodeforces Testing Round 10 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\nwrite(n*(n+1)//2 - sum(a))": 1.0, "\"\"\"\nCodeforces Testing Round 10 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n # Intentional bug: Mode 1 incorrectly split() the inputs into strings\n if mode == 1:\n return [int(x) for x in inputs.split()]\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\nwrite(n*(n+1)//2 - sum(a))": 0.0, "\"\"\"\nCodeforces Testing Round 10 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n # Intentional bug: Mode 0 does not return a list\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\nwrite(n*(n+1)//2 - sum(a))": 0.0, "\"\"\"\nCodeforces Testing Round 10 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n # Intentional bug: Input values are not converted to integers\n return inputs.split()\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\nwrite(n*(n+1)//2 - sum(a))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarpus adores TV series. Right now he is ready to finish watching a season of a popular sitcom \"Graph Theory\". In total, the season has n episodes, numbered with integers from 1 to n.\n\n\n\nPolycarpus watches episodes not one by one but in a random order. He has already watched all the episodes except for one. Which episode has Polycaprus forgotten to watch?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (2 \u2264 n \u2264 100000)\u00a0\u2014 the number of episodes in a season. Assume that the episodes are numbered by integers from 1 to n.\n\n\n\nThe second line contains n - 1 integer a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 n)\u00a0\u2014 the numbers of episodes that Polycarpus has watched. All values of a_{i} are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of the episode that Polycarpus hasn't watched.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The number \"zero\" is called \"love\" (or \"l'oeuf\" to be precise, literally means \"egg\" in French), for example when denoting the zero score in a game of tennis. \n\n\n\nAki is fond of numbers, especially those with trailing zeros. For example, the number $9200$ has two trailing zeros. Aki thinks the more trailing zero digits a number has, the prettier it is.\n\n\n\nHowever, Aki believes, that the number of trailing zeros of a number is not static, but depends on the base (radix) it is represented in. Thus, he considers a few scenarios with some numbers and bases. And now, since the numbers he used become quite bizarre, he asks you to help him to calculate the beauty of these numbers.\n\n\n\nGiven two integers $n$ and $b$ (in decimal notation), your task is to calculate the number of trailing zero digits in the $b$-ary (in the base/radix of $b$) representation of $n\\,!$ (factorial of $n$). \n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains two integers $n$ and $b$ ($1 \\le n \\le 10^{18}$, $2 \\le b \\le 10^{12}$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an only integer\u00a0\u2014 the number of trailing zero digits in the $b$-ary representation of $n!$", "responses": { "n, k = map(int, input().split())\na = []\ni = 2\nwhile (i * i <= k):\n if (k % i == 0):\n a.append([i, 0])\n while (k % i == 0):\n a[len(a) - 1][1] += 1\n k //= i\n i += 1\nif (k > 1):\n a.append([k, 1])\nans = 10 ** 20\nfor i in a:\n cnt = 0\n x = i[0]\n while (x <= n):\n cnt += n // x;\n x *= i[0]\n ans = min(ans, cnt // i[1])\nprint(ans)": 1.0, "n, k = map(int, input().split())\na = []\ni = 2\nwhile (i * i <= k):\n if (k % i == 0):\n a.append([i, 0])\n while (k % i == 0):\n a[len(a) - 1][1] += 1\n k /= i\n i += 1\nif (k > 1):\n a.append([k, 1])\nans = 10 ** 20\nfor i in a:\n cnt = 0\n x = i[0]\n while (x <= n):\n cnt += n // x;\n x *= i[0]\n ans = min(ans, cnt // i[1])\nprint(ans)": 0.0, "n, k = map(int, input().split())\na = []\ni = 2\nwhile (i ** i <= k):\n if (k % i == 0):\n a.append([i, 0])\n while (k % i == 0):\n a[len(a) - 1][1] += 1\n k //= i\n i += 1\nif (k > 1):\n a.append([k, 1])\nans = 10 ** 20\nfor i in a:\n cnt = 0\n x = i[0]\n while (x <= n):\n cnt += n // x;\n x *= i[0]\n ans = min(ans, cnt // i[1])\nprint(ans)": 0.0, "n, k = map(int, input().split())\na = []\ni = 2\nwhile (i * i <= k):\n if (k % i == 0):\n a.append([i, 0])\n while (k % i == 0):\n a[len(a) - 1][1] += 1\n k //= i\n i += 2\nif (k > 1):\n a.append([k, 1])\nans = 10 ** 20\nfor i in a:\n cnt = 0\n x = i[0]\n while (x <= n):\n cnt += n // x;\n x *= i[0]\n ans = min(ans, cnt // i[1])\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe number \"zero\" is called \"love\" (or \"l'oeuf\" to be precise, literally means \"egg\" in French), for example when denoting the zero score in a game of tennis. \n\n\n\nAki is fond of numbers, especially those with trailing zeros. For example, the number $9200$ has two trailing zeros. Aki thinks the more trailing zero digits a number has, the prettier it is.\n\n\n\nHowever, Aki believes, that the number of trailing zeros of a number is not static, but depends on the base (radix) it is represented in. Thus, he considers a few scenarios with some numbers and bases. And now, since the numbers he used become quite bizarre, he asks you to help him to calculate the beauty of these numbers.\n\n\n\nGiven two integers $n$ and $b$ (in decimal notation), your task is to calculate the number of trailing zero digits in the $b$-ary (in the base/radix of $b$) representation of $n\\,!$ (factorial of $n$). \n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains two integers $n$ and $b$ ($1 \\le n \\le 10^{18}$, $2 \\le b \\le 10^{12}$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an only integer\u00a0\u2014 the number of trailing zero digits in the $b$-ary representation of $n!$\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have N sticks with negligible thickness.\n\nThe length of the i-th stick is A_i.\n\nSnuke wants to select four different sticks from these sticks and form a rectangle (including a square), using the sticks as its sides.\n\nFind the maximum possible area of the rectangle.\n\n\n\n-----Constraints-----\n\n - 4 \\leq N \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - A_i is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the maximum possible area of the rectangle.\n\nIf no rectangle can be formed, print 0.\n\n\n\n-----Sample Input-----\n\n6\n\n3 1 2 4 2 1\n\n\n\n-----Sample Output-----\n\n2\n\n\n\n1 \\times 2 rectangle can be formed.", "responses": { "n=int(input())\na=[int(i) for i in input().split()]\na.sort()\ncount=0\ndef get_num(a):\n count=1\n taishou = a.pop()\n while a!=[]:\n second=a.pop()\n if taishou==second:\n count+=1\n else:\n a.append(second)\n break\n if count==1:\n return taishou,0\n elif count==2 or count==3:\n return taishou,1\n else:\n return taishou,2\none=0\ntwo=0\nwhile a!=[] and (one==0 or two==0):\n hen,length=get_num(a)\n if length==1:\n if one==0:\n one=hen\n else:\n two=hen\n elif length==2:\n if one==0:\n one=hen\n two=hen\n else:\n two=hen\nprint((one*two))": 1.0, "n=int(input())\na=[int(i) for i in input().split()]\na.sort()\ncount=0\ndef get_num(a):\n count=1\n taishou = a.pop()\n while a!=[]:\n second=a.pop()\n if taishou==second:\n count+=1\n else:\n a.append(second)\n break\n if count==1:\n return taishou,0\n elif count==2 or count==3:\n return taishou,1\n else:\n return taishou,2\none=0\ntwo=0\nwhile a!=[] and (one==0 or two==0):\n hen,length=get_num(a)\n if length==1:\n if one==0:\n one=hen\n else:\n two=hen\n elif length==2:\n if one==0:\n one=hen\n two=hen\n else:\n two=hen\nprint(one*two) # Forgot parentheses around the multiplication": 0.0, "n=int(input())\na=[int(i) for i in input().split()]\na.sort()\ncount=0\ndef get_num(a):\n count=1\n taishou = a.pop()\n while a!=[]:\n second=a.pop()\n if taishou==second:\n count+=1\n else:\n a.append(second)\n break\n if count==1:\n return taishou,0\n elif count==2 or count==3:\n return taishou,1\n else:\n return taishou,2\none=0\ntwo=0\nwhile a!=[] and (one==0 or two==0):\n hen,length=get_num(a)\n if length==1:\n if one==0:\n one=hen\n else:\n two=hen\n elif length==2:\n if one==0:\n one=hen\n two=hen\n else:\n two=hen\nprint(one*two)\nprint(one*two) # Duplicate line": 0.0, "n=int(input())\na=[int(i) for i in input().split()]\na.sort()\ncount=0\ndef get_num(a):\n count=1\n taishou = a.pop()\n while a!=[]:\n second=a.pop()\n if taishou==second:\n count+=1\n else:\n a.append(second)\n break\n if count==1:\n return taishou,0\n elif count==2 or count==3:\n return taishou,1\n else:\n return taishou,2\none=0\ntwo=0\nwhile a!=[] and (one==0 or two==0):\n hen,length=get_num(a)\n if length==1:\n if one==0:\n one=hen\n else:\n two=hen\n elif length==2:\n if one==0:\n one=hen\n two=hen\n else:\n two=hen\nprint(one+tow) # Mispelled variable name": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have N sticks with negligible thickness.\n\nThe length of the i-th stick is A_i.\n\nSnuke wants to select four different sticks from these sticks and form a rectangle (including a square), using the sticks as its sides.\n\nFind the maximum possible area of the rectangle.\n\n\n\n-----Constraints-----\n\n - 4 \\leq N \\leq 10^5\n\n - 1 \\leq A_i \\leq 10^9\n\n - A_i is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the maximum possible area of the rectangle.\n\nIf no rectangle can be formed, print 0.\n\n\n\n-----Sample Input-----\n\n6\n\n3 1 2 4 2 1\n\n\n\n-----Sample Output-----\n\n2\n\n\n\n1 \\times 2 rectangle can be formed.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.\n\n\n\nThere are n teams taking part in the national championship. The championship consists of n\u00b7(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.\n\n\n\nYou know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (2 \u2264 n \u2264 30). Each of the following n lines contains a pair of distinct space-separated integers h_{i}, a_{i} (1 \u2264 h_{i}, a_{i} \u2264 100) \u2014 the colors of the i-th team's home and guest uniforms, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the number of games where the host team is going to play in the guest uniform.", "responses": { "n = int( input().split()[0] )\nanswer = 0\nh = []\na = []\nfor i in range( 0, n ):\n\tteam = input().split()\n\th.append( int( team[0] ) )\n\ta.append( int( team[1] ) )\nfor i in range( 0, n ):\n\tfor j in range( 0, n ):\n\t\tif i == j:\n\t\t\tcontinue\n\t\tif h[i] == a[j]:\n\t\t\tanswer += 1\nprint( answer )": 1.0, "n = int( input().split()[0] )\nanswer = \"0\"\nh = []\na = []\nfor i in range( 0, n ):\n\tteam = input().split()\n\th.append( int( team[0] ) )\n\ta.append( int( team[1] ) )\nfor i in range( 0, n ):\n\tfor j in range( 0, n ):\n\t\tif i == j:\n\t\t\tcontinue\n\t\tif h[i] == a[j]:\n\t\t\tanswer += \"1\"\nprint( answer )": 0.0, "n = int( input().split()[0] )\nanswer = 0\nh = []\na = []\nfor i in range( 0, n ):\n\tteam = input().split()\n\th.append( int( team[0] ) )\n\ta.append( int( team[1] ) )\nfor i in range( 0, n ):\n\tfor j in range( 0, n ):\n\t\tif i == j:\n\t\t\tcontinue\n\t\tif h[i] == h[j]:\n\t\t\tanswer += 1\nprint( answer )": 0.0, "n = int( input().split()[0] )\nanswer = 0\nh = []\na = []\nfor i in range( 0, n ):\n\tteam = input().split()\n\th.append( int( team[1] ) )\n\ta.append( int( team[0] ) )\nfor i in range( 0, n ):\n\tfor j in range( 0, n ):\n\t\tif i == j:\n\t\t\tcontinue\n\t\tif h[i] == a[j]:\n\t\t\tanswer += 1\nprint( answer )": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nManao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.\n\n\n\nThere are n teams taking part in the national championship. The championship consists of n\u00b7(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.\n\n\n\nYou know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (2 \u2264 n \u2264 30). Each of the following n lines contains a pair of distinct space-separated integers h_{i}, a_{i} (1 \u2264 h_{i}, a_{i} \u2264 100) \u2014 the colors of the i-th team's home and guest uniforms, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the number of games where the host team is going to play in the guest uniform.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string S as input. This represents a valid date in the year 2019 in the yyyy/mm/dd format. (For example, April 30, 2019 is represented as 2019/04/30.)\n\nWrite a program that prints Heisei if the date represented by S is not later than April 30, 2019, and prints TBD otherwise.\n\n\n\n-----Constraints-----\n\n - S is a string that represents a valid date in the year 2019 in the yyyy/mm/dd format.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nS\n\n\n\n-----Output-----\n\nPrint Heisei if the date represented by S is not later than April 30, 2019, and print TBD otherwise.\n\n\n\n-----Sample Input-----\n\n2019/04/30\n\n\n\n-----Sample Output-----\n\nHeisei", "responses": { "import sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\nreadlines = sys.stdin.readlines\nsys.setrecursionlimit(10 ** 9)\nINF = 1 << 60\nMOD = 1000000007\ndef main():\n S = readline().strip()\n y, m, d = list(map(int, S.split('/')))\n if m <= 4:\n print('Heisei')\n elif m > 4:\n print('TBD')\n return\ndef __starting_point():\n main()\n__starting_point()": 1.0, "import sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\nreadlines = sys.stdin.readlines\nsys.setrecursionlimit(10 ** 9)\nINF = 1 << 60\nMOD = 1000000007\ndef main():\n # No code here if there's a bug, hehe\n return\ndef __starting_point():\n main()\n__starting_point()": 0.0, "import sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\nreadlines = sys.stdin.readlines\nsys.setrecursionlimit(10 ** 9)\nINF = 1 << 60\nMOD = 1000000007\ndef main():\n S = readline().strip()\n y, m, d = list(map(int, S.split('/')))\n if m <= 4:\n print('Heisei')\n elif m > 4:\n print('Heisei???') # Incorrectly printing 'Heisei' instead of 'TBD'\n return\ndef __starting_point():\n main()\n__starting_point()": 0.0, "import sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\nreadlines = sys.stdin.readlines\nsys.setrecursionlimit(10 ** 9)\nINF = 1 << 60\nMOD = 1000000007\ndef main():\n S = readline().strip()\n y, m, d = list(map(int, S.split('/')))\n if m <= 4:\n print('Heisei')\n else:\n print('TBD') # No need for elif condition here\n return\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string S as input. This represents a valid date in the year 2019 in the yyyy/mm/dd format. (For example, April 30, 2019 is represented as 2019/04/30.)\n\nWrite a program that prints Heisei if the date represented by S is not later than April 30, 2019, and prints TBD otherwise.\n\n\n\n-----Constraints-----\n\n - S is a string that represents a valid date in the year 2019 in the yyyy/mm/dd format.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nS\n\n\n\n-----Output-----\n\nPrint Heisei if the date represented by S is not later than April 30, 2019, and print TBD otherwise.\n\n\n\n-----Sample Input-----\n\n2019/04/30\n\n\n\n-----Sample Output-----\n\nHeisei\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Since you are the best Wraith King, Nizhniy Magazin \u00abMir\u00bb at the centre of Vinnytsia is offering you a discount.\n\n\n\nYou are given an array a of length n and an integer c. \n\n\n\nThe value of some array b of length k is the sum of its elements except for the $\\lfloor \\frac{k}{c} \\rfloor$ smallest. For example, the value of the array [3, 1, 6, 5, 2] with c = 2 is 3 + 6 + 5 = 14.\n\n\n\nAmong all possible partitions of a into contiguous subarrays output the smallest possible sum of the values of these subarrays.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integers n and c (1 \u2264 n, c \u2264 100 000).\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^9)\u00a0\u2014 elements of a.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer \u00a0\u2014 the smallest possible sum of values of these subarrays of some partition of a.", "responses": { "str=input().split()\nn=int(str[0])\nlen=int(str[1])\na=[]\nQ=[]\nF=[]\nfor i in range(0,n+1):\n\ta.append(0)\n\tQ.append(0)\n\tF.append(0)\nsum=0\nh=1\nt=0\nstr=input().split()\nfor i in range(1,n+1):\n\ta[i]=int(str[i-1])\n\tsum+=a[i]\n\t#print (sum)\n\twhile h<=t and Q[h]<=i-len:\n\t\th=h+1\n\twhile h<=t and a[i]<=a[Q[t]]:\n\t\tt=t-1\n\tt=t+1;Q[t]=i;\n\tif (i')": 1.0, "import re\ns = input()\nops = re.split('([+-])', s)\nassert len(ops) % 2 == 0\nops = ['+'] + ops\ntotal = 0\nfor i in range(0, len(ops), 2):\n if ops[i] == '+':\n total += int(ops[i+1])\n elif ops[i] == '-':\n total -= int(ops[i+1])\n else:\n assert False\nfor b in bytes(str(total), 'ascii'):\n print('+' * b + '.>')": 0.0, "import re\ns = input()\nops = re.split('([+-])', s)\nassert len(ops) % 2 == 1\nops = ['+'] + ops\ntotal = 0\nfor i in range(0, len(ops), 3):\n if ops[i] == '+':\n total += int(ops[i+1])\n elif ops[i] == '-':\n total -= int(ops[i+1])\n else:\n assert False\nfor b in bytes(str(total), 'ascii'):\n print('+' * b + '.>')": 0.0, "import re\ns = input()\nops = re.split('([+-])', s)\nassert len(ops) % 2 == 1\nops = []\ntotal = 0\nfor i in range(0, len(ops), 2):\n if ops[i] == '+':\n total += int(ops[i+1])\n elif ops[i] == '-':\n total -= int(ops[i+1])\n else:\n assert False\nfor b in bytes(str(total), 'ascii'):\n print('+' * b + '.>')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn this problem you will write a simple generator of Brainfuck (https://en.wikipedia.org/wiki/Brainfuck) calculators.\n\n\n\nYou are given an arithmetic expression consisting of integers from 0 to 255 and addition/subtraction signs between them. Output a Brainfuck program which, when executed, will print the result of evaluating this expression.\n\n\n\nWe use a fairly standard Brainfuck interpreter for checking the programs:\n\n\n\n\n\n\n\n 30000 memory cells.\n\n\n\n memory cells store integers from 0 to 255 with unsigned 8-bit wraparound.\n\n\n\n console input (, command) is not supported, but it's not needed for this problem.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of input data contains the arithmetic expression. The expression will contain between 2 and 10 operands, separated with arithmetic signs plus and/or minus. Each operand will be an integer between 0 and 255, inclusive. The calculations result is guaranteed to be an integer between 0 and 255, inclusive (results of intermediary calculations might be outside of these boundaries).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a Brainfuck program which, when executed, will print the result of evaluating this expression. The program must be at most 5000000 characters long (including the non-command characters), and its execution must be complete in at most 50000000 steps.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a list of non-negative integers, a1, a2, ..., an, and a target, S. Now you have 2 symbols + and -. For each integer, you should choose one from + and - as its new symbol.\n\n \n\n\n\nFind out how many ways to assign symbols to make sum of integers equal to target S.", "responses": { "class Solution:\n def findTargetSumWays(self, nums, S):\n \"\"\"\n :type nums: List[int]\n :type S: int\n :rtype: int\n \"\"\"\n c = [0]*1001\n c[0] = 1\n T = sum(nums)\n A = T+S\n if T>=1\n nums = sorted(nums)\n temp = 0\n for ind, v in enumerate(nums):\n temp += v\n for i in range(min(temp, A), v-1, -1):\n c[i] += c[i-v]\n return c[A]": 1.0, "class Solution:\n def findTargetSumWays(self, nums, S):\n c = [0]*1001\n c[0] = 1\n T = sum(nums)\n A = T+S\n if T>=1\n nums = sorted(nums)\n temp = 0\n for ind, v in enumerate(nums):\n temp += v\n for i in range(min(temp, A), v-1, -1):\n c[i] += c[i-v]\n return c[A]": 0.0, "class Solution:\n def findTargetSumWays(self, nums, S):\n c = [0]*1001\n c[0] = 1\n T = sum(nums)\n A = T+S\n if T>=1\n nums = sorted(nums)\n temp = 0\n for ind, v in enumerate(nums):\n temp += v\n for i in range(min(temp, A), v-1, -1):\n c[i] += c[i-v]\n return c[A]": 0.0, "class Solution:\n def findTargetSumWays(self, nums, S):\n c [0]*1001\n c[0] = 1\n T = sum(nums)\n A = T+S\n if T>=1\n nums = sorted(nums)\n temp = 0\n for ind, v in enumerate(nums):\n temp += v\n for i in range(min(temp, A), v-1, -1):\n c[i] += c[i-v]\n return c[A]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a list of non-negative integers, a1, a2, ..., an, and a target, S. Now you have 2 symbols + and -. For each integer, you should choose one from + and - as its new symbol.\n\n \n\n\n\nFind out how many ways to assign symbols to make sum of integers equal to target S.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Valera has got n domino pieces in a row. Each piece consists of two halves \u2014 the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the upper halves and the sum of the numbers on the lower halves to be even.\n\n\n\nTo do that, Valera can rotate the dominoes by 180 degrees. After the rotation the upper and the lower halves swap places. This action takes one second. Help Valera find out the minimum time he must spend rotating dominoes to make his wish come true.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 100), denoting the number of dominoes Valera has. Next n lines contain two space-separated integers x_{i}, y_{i} (1 \u2264 x_{i}, y_{i} \u2264 6). Number x_{i} is initially written on the upper half of the i-th domino, y_{i} is initially written on the lower half.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the minimum required number of seconds. If Valera can't do the task in any time, print - 1.", "responses": { "N = int(input())\nCheck = False\nSum = 0\nSum_l, Sum_r = 0, 0\nfor i in range(N):\n x, y = list(map(int, input().split()))\n Sum_l += x\n Sum_r += y\n Sum += x + y\n if (x % 2 + y % 2) % 2:\n Check = True\nif Sum % 2:\n print(-1)\nelif Sum_l % 2:\n if not Check:\n print(-1)\n else:\n print(1)\nelif Sum_l % 2 == 0:\n print(0)": 1.0, "N = int(input())\nCheck = False\nSum = 0\nSum_l, Sum_r = 0, 0\nfor i in range(N):\n x, y = list(map(int, input().split()))\n Sum_l += x\n Sum_r += y\n Sum += x + y\n if (x % 2 + y % 2) % 2:\n Check = True\nif Sum % 2:\n print(-1)\nelse:\n if not Check:\n print(-1)\n else:\n print(1)\nelif Sum_l % 2 == 0:\n print(0)": 0.0, "N = int(input())\nCheck = False\nSum = 0\nSum_l, Sum_r = 0, 0\nfor i in range(N):\n x, y = list(map(int, input().split()))\n Sum_l += x\n Sum_r += y\n Sum += x + y\n if (x % 2 + y % 2) % 2:\n Check = True\nif Sum_l % 2:\n if not Check:\n print(-1)\n else:\n print(1)\nelif Sum_l % 2 == 0:\n print(0)\nelif Sum % 2:\n print(-1)": 0.0, "N = int(input())\nCheck = False\nSum = 0\nSum_l, Sum_r = 0, 0\nfor i in range(N):\n x, y = list(map(int, input().split()))\n Sum_l += x\n Sum_r += y\n Sum += x + y\n if (x % 2 + y % 2) % 2:\n Check = True\nif Sum_l % 2:\n if not Check:\n print(-1)\n else:\n print(1)\nelif Sum_l % 2 == 0:\n print(0)\nelif Sum:\n print(-1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nValera has got n domino pieces in a row. Each piece consists of two halves \u2014 the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the upper halves and the sum of the numbers on the lower halves to be even.\n\n\n\nTo do that, Valera can rotate the dominoes by 180 degrees. After the rotation the upper and the lower halves swap places. This action takes one second. Help Valera find out the minimum time he must spend rotating dominoes to make his wish come true.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 100), denoting the number of dominoes Valera has. Next n lines contain two space-separated integers x_{i}, y_{i} (1 \u2264 x_{i}, y_{i} \u2264 6). Number x_{i} is initially written on the upper half of the i-th domino, y_{i} is initially written on the lower half.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the minimum required number of seconds. If Valera can't do the task in any time, print - 1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In africa jungle , there were zebra's who liked to spit.\n\nThere owner watched them for whole day and noted in his sheet where each zebra spitted.\n\nNow he's in a confusion and wants to know if in the jungle there are two zebra's which spitted at each other.\n\nHelp him solve this task.\n\nIf the zebra is present in position a spits b metres right , he can hit only zebra in position a+b , if such a zebra exists.\n\n\n\n-----Input:-----\n\n- The first line contains integer t(1<=t<100)- amount of zebras in jungle.\n\n- Each of following t lines contains two integers a(i) and b(i)(-10^4<=x(i)<=10^4,1<|d(i)|<=2.10^4) - records in owner sheet.\n\n- a(i) is the position of i-th zebra and b(i) is distance at which the i-th camel spitted.\n\nPositive values of d(i) correspond to spits right, negative values correspond to spit left.No two zebras may stand in the same position.\n\n\n\n-----Output:-----\n\nIf there are two zebras , which spitted at each other , output YES, otherwise , output NO.\n\n\n\n-----Sample Input:-----\n\n2\n\n0 1\n\n1 -1\n\n\n\n-----Sample Output:-----\n\nYES", "responses": { "t=int(input())\ni=0\na=0\nd=dict()\nwhile i= 6:\n stamp -= 6\n continue\n elif ct == 'M':\n dollar += 3\n elif ct == 'L':\n dollar += 4\n stamp += 1\n print(dollar)": 1.0, "t = int(input())\nfor tc in range(t):\n seq = input()\n dollar = 0\n stamp = 0\n for ct in seq:\n if stamp >= 6:\n dollar += 3 # Bug: Increment dollar variable for Medium cup\n elif ct == 'M':\n dollar += 3\n elif ct == 'L':\n dollar += 4\n stamp += 1\n print(dollar)": 0.0, "t = int(input())\nfor tc in range(t):\n seq = input()\n dollar = 0\n stamp = 0\n for ct in seq:\n if stamp >= 6:\n stamp -= 5 # Bug: Subtract 5 instead of 6 from the stamp variable\n continue\n elif ct == 'M':\n dollar += 3\n elif ct == 'L':\n dollar += 4\n stamp += 1\n print(dollar)": 0.0, "t = int(input())\nfor tc in range(t):\n seq = input()\n dollar = 0\n stamp = 0\n for ct in seq:\n if stamp >= 5: # Bug: Check if stamp is greater than or equal to 5 instead of 6\n stamp -= 6\n continue\n elif ct == 'M':\n dollar += 3\n elif ct == 'L':\n dollar += 4\n stamp += 1\n print(dollar)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBohan loves milk tea so much and he drinks one cup of milk tea every day. The local shop sells milk tea in two sizes: a Medium cup for $3 and a Large cup for $4. For every cup of milk tea purchased Bohan receives a promotional stamp. Bohan may redeem 6 stamps for a free drink of milk tea regardless of the size. No stamp will be given for a free drink.\n\n\n\n\n\nDetermine the amount of money Bohan have spent on milk tea, given a sequence of milk tea sizes he got in the past a few days. Assume Bohan had no stamps in the beginning and he always redeemed the stamps for the next drink once he had collected 6 stamps.\n\n\n\n-----Input-----\n\nThe input begins with the number of test cases T.\n\nEach test case has a single line of letters. The i-th letter is either 'M' or 'L' denoting a Medium cup or a Large cup of milk tea Bohan got on the i-th day.\n\n\n\n-----Output-----\n\nFor each case, output the amount of money in dollars Bohan have spent on milk tea.\n\n\n\n-----Constraints-----\n\n- T \u2264 100 \n\n- 1 \u2264 length of each sequence \u2264 100 \n\n\n\n-----Example-----\n\nInput:\n\n3\n\nMLM\n\nMMLLMMLL\n\nMMMMMMML\n\n\n\nOutput:\n\n10\n\n24\n\n22\n\n\n\n-----Explanation-----\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A cinema\u00a0has n\u00a0rows of seats, numbered from 1 to n\u00a0and there are ten\u00a0seats in each row, labelled from 1\u00a0to 10\u00a0as shown in the figure above.\n\nGiven the array reservedSeats containing the numbers of seats already reserved, for example, reservedSeats[i] = [3,8]\u00a0means the seat located in row 3 and labelled with 8\u00a0is already reserved.\n\nReturn the maximum number of four-person groups\u00a0you can assign on the cinema\u00a0seats. A four-person group\u00a0occupies four\u00a0adjacent seats in one single row. Seats across an aisle (such as [3,3]\u00a0and [3,4]) are not considered to be adjacent, but there is an exceptional case\u00a0on which an aisle split\u00a0a four-person group, in that case, the aisle split\u00a0a four-person group in the middle,\u00a0which means to have two people on each side.", "responses": { "class Solution:\n def maxNumberOfFamilies(self, n: int, reservedSeats: List[List[int]]) -> int:\n left, right, mid = set(), set(), set()\n count = 0\n for row, col in reservedSeats:\n \n # if row in left and row in right and row in mid:\n # continue\n if col < 6 and col > 1:\n left.add(row)\n if col < 10 and col > 5:\n right.add(row)\n if col < 8 and col > 3:\n mid.add(row)\n for i in (left | right | mid):\n if i not in mid:\n count += 1\n elif i not in left or i not in right:\n count += 1\n count += 2 * (n - len(left | right | mid))\n return count": 1.0, "class Solution:\n def maxNumberOfFamilies(self, n: int, reservedSeats: List[List[int]]) -> int:\n left, right, mid = set(), set(), set()\n count = 0\n for row, col in reservedSeats:\n if col < 6 and col > 1:\n left.add(row)\n if col < 10 and col > 5:\n right.add(row)\n if col < 8 and col > 3:\n mid.append(row) # BUG: Should be .add(row) instead of .append(row)\n for i in (left | right | mid):\n if i not in mid:\n count += 1\n elif i not in left or i not in right:\n count += 1\n count += 2 * (n - len(left | right | mid))\n return count": 0.0, "class Solution:\n def maxNumberOfFamilies(self, n: int, reservedSeats: List[List[int]]) -> int:\n left, right, mid = set(), set(), set()\n count = 0\n for row, col in reservedSeats:\n if col < 6 and col > 1:\n left.add(row)\n if col < 10 and col > 5:\n right.append(row) # BUG: Should be .add(row) instead of .append(row)\n if col < 8 and col > 3:\n mid.add(row)\n for i in (left | right | mid):\n if i not in mid:\n count += 1\n elif i not in left or i not in right:\n count += 1\n count += 2 * (n - len(left | right | mid))\n return count": 0.0, "class Solution:\n def maxNumberOfFamilies(self, n: int, reservedSeats: List[List[int]]) -> int:\n left, right, mid = set(), set(), set()\n count = 0\n for row, col in reservedSeats:\n if col < 6 and col > 1:\n left.append(row) # BUG: Should be .add(row) instead of .append(row)\n if col < 10 and col > 5:\n right.add(row)\n if col < 8 and col > 3:\n mid.add(row)\n for i in (left | right | mid):\n if i not in mid:\n count += 1\n elif i not in left or i not in right:\n count += 1\n count += 2 * (n - len(left | right | mid))\n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA cinema\u00a0has n\u00a0rows of seats, numbered from 1 to n\u00a0and there are ten\u00a0seats in each row, labelled from 1\u00a0to 10\u00a0as shown in the figure above.\n\nGiven the array reservedSeats containing the numbers of seats already reserved, for example, reservedSeats[i] = [3,8]\u00a0means the seat located in row 3 and labelled with 8\u00a0is already reserved.\n\nReturn the maximum number of four-person groups\u00a0you can assign on the cinema\u00a0seats. A four-person group\u00a0occupies four\u00a0adjacent seats in one single row. Seats across an aisle (such as [3,3]\u00a0and [3,4]) are not considered to be adjacent, but there is an exceptional case\u00a0on which an aisle split\u00a0a four-person group, in that case, the aisle split\u00a0a four-person group in the middle,\u00a0which means to have two people on each side.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Nauuo is a girl who loves writing comments.\n\n\n\nOne day, she posted a comment on Codeforces, wondering whether she would get upvotes or downvotes.\n\n\n\nIt's known that there were $x$ persons who would upvote, $y$ persons who would downvote, and there were also another $z$ persons who would vote, but you don't know whether they would upvote or downvote. Note that each of the $x+y+z$ people would vote exactly one time.\n\n\n\nThere are three different results: if there are more people upvote than downvote, the result will be \"+\"; if there are more people downvote than upvote, the result will be \"-\"; otherwise the result will be \"0\".\n\n\n\nBecause of the $z$ unknown persons, the result may be uncertain (i.e. there are more than one possible results). More formally, the result is uncertain if and only if there exist two different situations of how the $z$ persons vote, that the results are different in the two situations.\n\n\n\nTell Nauuo the result or report that the result is uncertain.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains three integers $x$, $y$, $z$ ($0\\le x,y,z\\le100$), corresponding to the number of persons who would upvote, downvote or unknown.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is only one possible result, print the result : \"+\", \"-\" or \"0\".\n\n\n\nOtherwise, print \"?\" to report that the result is uncertain.", "responses": { "x, y, z = map(int, input().split())\nif z == 0:\n if x == y:\n print('0')\n elif x > y:\n print('+')\n else:\n print('-')\nelse:\n if x > y + z:\n print('+') \n elif x + z < y:\n print('-')\n else:\n print('?')": 1.0, "x, y, z = map(int, input().split())\nif z == 0:\n if x == y:\n print('0')\n elif x < y:\n print('+')\n else:\n print('-')\nelse:\n if x > y + z:\n print('+') \n elif x + z < y:\n print('-')\n else:\n print('?')": 0.0, "x, y, z = map(int, input().split())\nif z == 0:\n if x == y:\n print('0')\n elif x > y:\n print('+')\n else:\n print('-')\nelse:\n if x > y - z:\n print('+') \n elif x + z < y:\n print('-')\n else:\n print('?')": 0.0, "x, y, z = map(int, input().split())\nif z == 0:\n if x == y:\n print('0')\n elif x > y:\n print('+')\n else:\n print('-')\nelse:\n if x > y + z:\n print('+') \n elif x - z < y:\n print('-')\n else:\n print('?')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nNauuo is a girl who loves writing comments.\n\n\n\nOne day, she posted a comment on Codeforces, wondering whether she would get upvotes or downvotes.\n\n\n\nIt's known that there were $x$ persons who would upvote, $y$ persons who would downvote, and there were also another $z$ persons who would vote, but you don't know whether they would upvote or downvote. Note that each of the $x+y+z$ people would vote exactly one time.\n\n\n\nThere are three different results: if there are more people upvote than downvote, the result will be \"+\"; if there are more people downvote than upvote, the result will be \"-\"; otherwise the result will be \"0\".\n\n\n\nBecause of the $z$ unknown persons, the result may be uncertain (i.e. there are more than one possible results). More formally, the result is uncertain if and only if there exist two different situations of how the $z$ persons vote, that the results are different in the two situations.\n\n\n\nTell Nauuo the result or report that the result is uncertain.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains three integers $x$, $y$, $z$ ($0\\le x,y,z\\le100$), corresponding to the number of persons who would upvote, downvote or unknown.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is only one possible result, print the result : \"+\", \"-\" or \"0\".\n\n\n\nOtherwise, print \"?\" to report that the result is uncertain.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Let's call a string \"s-palindrome\" if it is symmetric about the middle of the string. For example, the string \"oHo\" is \"s-palindrome\", but the string \"aa\" is not. The string \"aa\" is not \"s-palindrome\", because the second half of it is not a mirror reflection of the first half.\n\n\n\n [Image] English alphabet \n\n\n\nYou are given a string s. Check if the string is \"s-palindrome\".\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the string s (1 \u2264 |s| \u2264 1000) which consists of only English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"TAK\" if the string s is \"s-palindrome\" and \"NIE\" otherwise.", "responses": { "import sys, math\ns=input()\npal='AHIMOoTUVvWwXxY'\nn=len(s)\nl=0\nr=n-1\nflag=True\nfir='pq'\nsec='bd'\nwhile l<=r:\n if s[l]==s[r] and s[l] in pal:\n l+=1\n r-=1\n continue\n elif s[l]==s[r]:\n flag=False\n break\n elif (s[l] in fir) and (s[r] in fir):\n l+=1\n r-=1\n continue\n elif (s[l] in sec) and (s[r] in sec):\n l+=1\n r-=1\n continue\n else:\n flag=False\n break\nif flag:\n print('TAK')\nelse:\n print('NIE')\n ": 1.0, "import sys, math\ns=input()\npal='AHIMOoTUVvWwXxY'\nn=len(s)\nl=0\nr=n-1\nflag=True\nfir='pq'\nsec='bd'\nwhile l<=r:\n if s[l]==s[r] and s[l] in pal:\n l+=1\n r-=1\n continue\n elif s[l]==s[r]:\n flag=False\n break\n elif (s[l] in fir) and (s[r] in fir):\n l+=1\n r-=1\n continue\n elif (s[l] in twooc) and (s[r] in sec):\n l+=1\n r-=1\n continue\n else:\n flag=False\n break\nif flag:\n print('TAK')\nelse:\n print('NIE')": 0.0, "import sys, math\ns=input()\npal='AHIMOoTUVvWwXxY'\nn=len(s)\nl=0\nr=n-1\nflag=True\nfir='pq'\nsec='bd'\nwhile l<=r:\n if s[l]==s[r] and s[l] in pal:\n l+=1\n r-=1\n continue\n elif s[l]==s[r]:\n flag=False\n break\n elif (s[l] in fir) and (s[r] in sec):\n l+=1\n r-=1\n continue\n else:\n flag=False\n break\nif flag:\n print('TAK')\nelse:\n print('NIE')": 0.0, "import sys, math\ns=input()\npal='AHIMOoTUVvWwXxY'\nn=len(s)\nl=0\nr=n-1\nflag=True\nfir='pq'\nsec='bd'\nwhile l<=r:\n if s[l]==s[r] and s[l] in pal:\n l+=1\n r-=1\n continue\n elif (s[l] in fir) and (s[r] in fir):\n l+=1\n r-=1\n continue\n elif (s[l] in sec) and (s[r] in sec):\n l+=1\n r-=1\n continue\n else:\n flag=False\n break\nif flag:\n print('TAK')\nelse:\n print('NIE')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLet's call a string \"s-palindrome\" if it is symmetric about the middle of the string. For example, the string \"oHo\" is \"s-palindrome\", but the string \"aa\" is not. The string \"aa\" is not \"s-palindrome\", because the second half of it is not a mirror reflection of the first half.\n\n\n\n [Image] English alphabet \n\n\n\nYou are given a string s. Check if the string is \"s-palindrome\".\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the string s (1 \u2264 |s| \u2264 1000) which consists of only English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"TAK\" if the string s is \"s-palindrome\" and \"NIE\" otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string containing only three types of characters: '(', ')' and '*', write a function to check whether this string is valid. We define the validity of a string by these rules:\n\n\n\nAny left parenthesis '(' must have a corresponding right parenthesis ')'.\n\nAny right parenthesis ')' must have a corresponding left parenthesis '('.\n\nLeft parenthesis '(' must go before the corresponding right parenthesis ')'.\n\n'*' could be treated as a single right parenthesis ')' or a single left parenthesis '(' or an empty string.\n\nAn empty string is also valid.", "responses": { "class Solution:\n def checkValidString(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n low, high = 0, 0\n for c in s:\n if c == \"(\":\n low += 1\n high += 1\n elif c == \")\":\n if low > 0:\n low -= 1\n high -= 1\n else:\n if low > 0:\n low -= 1\n high += 1\n if high < 0:\n return False\n return low == 0": 1.0, "class Solution:\n def checkValidString(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n low, high = 0, 0\n for c in s:\n if c == \"(\":\n low += 1\n high += 1\n elif c == \")\":\n if low > 0:\n low -= 1\n high -= 1\n if high < 0:\n return True\n else:\n if low > 0:\n low -= 1\n high += 1\n if high < 0:\n return False\n return low == 0": 0.0, "class Solution:\n def checkValidString(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n low, high = 0, 0\n for c in s:\n if c == \"(\":\n low += 1\n high += 1\n if high < 0:\n return True\n elif c == \")\":\n if low > 0:\n low -= 1\n high -= 1\n else:\n if low > 0:\n low -= 1\n high += 1\n if high < 0:\n return False\n return low == 0": 0.0, "class Solution:\n def checkValidString(self, s):\n \"\"\"\n :type s: str\n :rtype: bool\n \"\"\"\n low, high = 0, 0\n for c in s:\n if c == \"(\":\n low += 1\n if high < 0:\n return True\n high += 1\n elif c == \")\":\n if low > 0:\n low -= 1\n high -= 1\n else:\n if low > 0:\n low -= 1\n high += 1\n if high < 0:\n return False\n return low == 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string containing only three types of characters: '(', ')' and '*', write a function to check whether this string is valid. We define the validity of a string by these rules:\n\n\n\nAny left parenthesis '(' must have a corresponding right parenthesis ')'.\n\nAny right parenthesis ')' must have a corresponding left parenthesis '('.\n\nLeft parenthesis '(' must go before the corresponding right parenthesis ')'.\n\n'*' could be treated as a single right parenthesis ')' or a single left parenthesis '(' or an empty string.\n\nAn empty string is also valid.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence with N integers: A = \\{ A_1, A_2, \\cdots, A_N \\}.\n\nFor each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:\n\n - If A_i and A_j (i < j) are painted with the same color, A_i < A_j.\n\nFind the minimum number of colors required to satisfy the condition.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^5\n\n - 0 \\leq A_i \\leq 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1\n\n:\n\nA_N\n\n\n\n-----Output-----\n\nPrint the minimum number of colors required to satisfy the condition.\n\n\n\n-----Sample Input-----\n\n5\n\n2\n\n1\n\n4\n\n5\n\n3\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nWe can satisfy the condition with two colors by, for example, painting 2 and 3 red and painting 1, 4, and 5 blue.", "responses": { "from bisect import bisect_right\ndef main():\n n = int(input())\n a = [int(input()) for _ in range(n)]\n a.reverse()\n lis = [a[0]]\n for i in range(1, n):\n if a[i] >= lis[-1]:\n lis.append(a[i])\n else:\n lis[bisect_right(lis, a[i])] = a[i]\n print((len(lis)))\ndef __starting_point():\n main()\n__starting_point()": 1.0, "from bisect import bisect_right\ndef main()\n n = int(input())\n a = [int(input()) for _ in range(n)]\n a.reverse()\n lis = [a[0]]\n for i in range(1, n):\n if a[i] >= lis[-1]:\n lis.append(a[i])\n else:\n lis[bisect_right(lis, a[i])] = a[i]\n print((len(lis)))\ndef __starting_point():\n main()\n__starting_point()": 0.0, "from bisect import bisect_right\ndef main():\n n = int(input())\n a = [int(input()) for _ in range(n)]\n a.reverse()\n lis = [a[0]]\n for i in range(1, n):\n if a[i] >= lis[-1]:\n lis.append(a[i])\n else:\n lis(bisect_right(lis, a[i])) = a[i]\n print((len(lis)))\ndef __starting_point():\n main()\n__starting_point()": 0.0, "from bisect import bisect_right\ndef main():\n n = int(input())\n a = [int(input()) for _ in range(n)]\n a.reverse()\n lis = [a[0]]\n for i in range(1, n):\n if a[i] >= lis[-1]\n lis.append(a[i])\n else:\n lis[bisect_right(lis, a[i])] = a[i]\n print((len(lis)))\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence with N integers: A = \\{ A_1, A_2, \\cdots, A_N \\}.\n\nFor each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:\n\n - If A_i and A_j (i < j) are painted with the same color, A_i < A_j.\n\nFind the minimum number of colors required to satisfy the condition.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^5\n\n - 0 \\leq A_i \\leq 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1\n\n:\n\nA_N\n\n\n\n-----Output-----\n\nPrint the minimum number of colors required to satisfy the condition.\n\n\n\n-----Sample Input-----\n\n5\n\n2\n\n1\n\n4\n\n5\n\n3\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nWe can satisfy the condition with two colors by, for example, painting 2 and 3 red and painting 1, 4, and 5 blue.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "It's the year 4527 and the tanks game that we all know and love still exists. There also exists Great Gena's code, written in 2016. The problem this code solves is: given the number of tanks that go into the battle from each country, find their product. If it is turns to be too large, then the servers might have not enough time to assign tanks into teams and the whole game will collapse!\n\n\n\nThere are exactly n distinct countries in the world and the i-th country added a_{i} tanks to the game. As the developers of the game are perfectionists, the number of tanks from each country is beautiful. A beautiful number, according to the developers, is such number that its decimal representation consists only of digits '1' and '0', moreover it contains at most one digit '1'. However, due to complaints from players, some number of tanks of one country was removed from the game, hence the number of tanks of this country may not remain beautiful.\n\n\n\nYour task is to write the program that solves exactly the same problem in order to verify Gena's code correctness. Just in case.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains the number of countries n (1 \u2264 n \u2264 100 000). The second line contains n non-negative integers a_{i} without leading zeroes\u00a0\u2014 the number of tanks of the i-th country.\n\n\n\nIt is guaranteed that the second line contains at least n - 1 beautiful numbers and the total length of all these number's representations doesn't exceed 100 000.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number without leading zeroes\u00a0\u2014 the product of the number of tanks presented by each country.", "responses": { "import re\np = re.compile(r'^10*$')\nn = int(input())\na = input().split()\nextra = '1'\nnumzero = 0\nfor ai in a:\n\tif ai == '0':\n\t\tprint(0)\n\t\treturn\n\telif p.match(ai):\n\t\tnumzero += len(ai) - 1\n\telse:\n\t\textra = ai\nprint(extra + '0' * numzero)": 1.0, "import noSuchModule as nsM\np = re.compile(r'^10*$')\nn = int(input())\na = input().split()\nextra = '1'\nnumzero = 0\nfor ai in a:\n\tif ai == '0':\n\t\tprint(0)\n\t\treturn\n\telif p.match(ai):\n\t\tnumzero += len(ai) - 1\n\telse:\n\t\textra = ai\nprint(extra + '0' * numzero)": 0.0, "import re\np = re.compile(r'^10*$')\nn = int(input())\na = input().split()\nextra = '1'\nnumzero = 0\nfor ai in a:\n\tif ai == '0':\n\t\tprint(0)\n\t\treturn\n\telif p.search(ai): # Using wrong method name\n\t\tnumzero += len(ai) - 1\n\telse:\n\t\textra = ai\nprint(extra + '0' * numzero)": 0.0, "import re\np = re.compile(r'^10*$')\nn = int(input())\na = input().split()\nextra = '1'\nnumzero = 0\nfor ai in a:\n\tif ai == '0':\n\t\tprint(0)\n\t\tbreak # Using break instead of return\n\telif p.match(ai):\n\t\tnumzero += len(ai) - 1\n\telse:\n\t\textra = ai\nprint(extra + '0' * numzero)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIt's the year 4527 and the tanks game that we all know and love still exists. There also exists Great Gena's code, written in 2016. The problem this code solves is: given the number of tanks that go into the battle from each country, find their product. If it is turns to be too large, then the servers might have not enough time to assign tanks into teams and the whole game will collapse!\n\n\n\nThere are exactly n distinct countries in the world and the i-th country added a_{i} tanks to the game. As the developers of the game are perfectionists, the number of tanks from each country is beautiful. A beautiful number, according to the developers, is such number that its decimal representation consists only of digits '1' and '0', moreover it contains at most one digit '1'. However, due to complaints from players, some number of tanks of one country was removed from the game, hence the number of tanks of this country may not remain beautiful.\n\n\n\nYour task is to write the program that solves exactly the same problem in order to verify Gena's code correctness. Just in case.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains the number of countries n (1 \u2264 n \u2264 100 000). The second line contains n non-negative integers a_{i} without leading zeroes\u00a0\u2014 the number of tanks of the i-th country.\n\n\n\nIt is guaranteed that the second line contains at least n - 1 beautiful numbers and the total length of all these number's representations doesn't exceed 100 000.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number without leading zeroes\u00a0\u2014 the product of the number of tanks presented by each country.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are $n$ rectangles in a row. You can either turn each rectangle by $90$ degrees or leave it as it is. If you turn a rectangle, its width will be height, and its height will be width. Notice that you can turn any number of rectangles, you also can turn all or none of them. You can not change the order of the rectangles.\n\n\n\nFind out if there is a way to make the rectangles go in order of non-ascending height. In other words, after all the turns, a height of every rectangle has to be not greater than the height of the previous rectangle (if it is such). \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\leq n \\leq 10^5$)\u00a0\u2014 the number of rectangles.\n\n\n\nEach of the next $n$ lines contains two integers $w_i$ and $h_i$ ($1 \\leq w_i, h_i \\leq 10^9$)\u00a0\u2014 the width and the height of the $i$-th rectangle.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without quotes) if there is a way to make the rectangles go in order of non-ascending height, otherwise print \"NO\".\n\n\n\nYou can print each letter in any case (upper or lower).", "responses": { "n = int(input())\ndata = []\nfor i in range(n):\n a, b = list(map(int, input().split()))\n data.append([a, b])\nans = True\nprev = max(data[0])\nfor i in range(1, n):\n a, b = data[i]\n a, b = min(a, b), max(a,b)\n \n if a > prev:\n ans = False\n break\n if a <= prev < b:\n prev = a\n continue\n if prev >= b:\n prev = b\nif ans :\n print(\"YES\")\nelse:\n print('NO')": 1.0, "n = int(input())\ndata = []\nfor i in range(n):\n a, b = list(map(int, input().split()))\n data.append([a, b])\nans = True\nprev = max(data[0])\nfor i in range(1, n):\n a, b = data[i]\n a, b = min(a, b), max(a,b)\n \n if a < prev: # incorrect comparison operator\n ans = False\n break\n if a <= prev < b:\n prev = a\n continue\n if prev >= b:\n prev = b\nif ans :\n print(\"YES\")\nelse:\n print('NO')": 0.0, "n = int(input())\ndata = []\nfor i in range(n):\n a, b = list(map(int, input().split()))\n data.append([a, b])\nans = True\nprev = max(data[0])\nfor i in range(1, n):\n a, b = data[i]\n a, b = min(a, b), max(a,b)\n \n if a > prev: # incorrect comparison operator\n ans = False\n continue # does not break the loop correctly\n if a <= prev < b:\n prev = a\n continue\n if prev >= b:\n prev = b\nif ans :\n print(\"YES\")\nelse:\n print('NO')": 0.0, "n = int(input())\ndata = []\nfor i in range(n):\n a, b = list(map(int, input().split()))\n data.append([a, b])\nans = True\nprev = max(data[0])\nfor i in range(1, n):\n a, b = data[i]\n a, b = min(a, b), max(a,b)\n \n if a > prev:\n ans = False\n break\n if a <= prev : # does not check condition correctly\n prev = a\n continue\n if prev >= b:\n prev = b\nif ans :\n print(\"YES\")\nelse:\n print('NO')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are $n$ rectangles in a row. You can either turn each rectangle by $90$ degrees or leave it as it is. If you turn a rectangle, its width will be height, and its height will be width. Notice that you can turn any number of rectangles, you also can turn all or none of them. You can not change the order of the rectangles.\n\n\n\nFind out if there is a way to make the rectangles go in order of non-ascending height. In other words, after all the turns, a height of every rectangle has to be not greater than the height of the previous rectangle (if it is such). \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\leq n \\leq 10^5$)\u00a0\u2014 the number of rectangles.\n\n\n\nEach of the next $n$ lines contains two integers $w_i$ and $h_i$ ($1 \\leq w_i, h_i \\leq 10^9$)\u00a0\u2014 the width and the height of the $i$-th rectangle.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without quotes) if there is a way to make the rectangles go in order of non-ascending height, otherwise print \"NO\".\n\n\n\nYou can print each letter in any case (upper or lower).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array x of n positive numbers. You start at point (0,0) and moves x[0] metres to the north, then x[1] metres to the west,\n\n x[2] metres to the south,\n\n x[3] metres to the east and so on. In other words, after each move your direction changes\n\n counter-clockwise.\n\n\n\n\n\n Write a one-pass algorithm with O(1) extra space to determine, if your path crosses itself, or not.", "responses": { "class Solution:\n def isSelfCrossing(self, x):\n \"\"\"\n :type x: List[int]\n :rtype: bool\n \"\"\"\n if not x or len(x) < 4:\n return False\n i = 3\n while i < len(x):\n #print(i)\n if x[i] >= x[i-2] and x[i-1] <= x[i-3]:\n print('case 1')\n return True\n elif i >= 4 and x[i-1] == x[i-3] and x[i] + x[i-4] >= x[i-2]:\n print('case 2')\n return True\n elif i >= 5 and x[i-4] < x[i-2] <= x[i] + x[i-4] and x[i-1] <= x[i-3] <= x[i] + x[i-5]:\n print('case 3')\n return True\n i += 1\n return False": 1.0, "class Solution:\n def isSelfCrossing(self, x):\n \"\"\"\n :type x: List[int]\n :rtype: bool\n \"\"\"\n if not x or len(x) < 4:\n return False\n i = 3\n while i < len(x):\n #print(i)\n if x[i] >= x[i-2] and x[i-1] <= x[i-3]:\n print('case 1')\n return True\n elif i >= 4 and x[i-1] == x[i-3] and x[i] + x[i-4] >= x[i-2]:\n print('case 2')\n return True\n elif i >= 5 and x[i-4] < x[i-2] <= x[i] + x[i-4] and x[i-1] <= x[i-3] <= x[i] + x[i-5]:\n print('case 3')\n return True\n i += 1\n return False": 0.0, "class Solution:\n def isSelfCrossing(self, x):\n \"\"\"\n :type x: List[int]\n :rtype: bool\n \"\"\"\n if not x or len(x) < 4:\n return False\n i = 3\n while i < len(x):\n #print(i)\n if x[i] >= x[i-2] and x[i-1] <= x[i-3]:\n print('case 1')\n return True\n elif i >= 4 and x[i-1] == x[i-3] and x[i] + x[i-4] >= x[i-2]:\n print('case 2')\n return True\n elif i >= 5 and x[i-4] < x[i-2] <= x[i] + x[i-4] and x[i-1] <= x[i-3] <= x[i] + x[i-5]:\n print('case 3')\n return True\n i += 1\n return False": 0.0, "class Solution:\n def isSelfCrossing(self, x):\n \"\"\"\n :type x: List[int]\n :rtype: bool\n \"\"\"\n if x or len(x) < 4:\n return False\n i = 3\n while i < len(x):\n #print(i)\n if x[i] >= x[i-2] and x[i-1] <= x[i-3]:\n print('case 1')\n return True\n elif i >= 4 and x[i-1] == x[i-3] and x[i] + x[i-4] >= x[i-2]:\n print('case 2')\n return True\n elif i >= 5 and x[i-4] < x[i-2] <= x[i] + x[i-4] and x[i-1] <= x[i-3] <= x[i] + x[i-5]:\n print('case 3')\n return True\n i += 1\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array x of n positive numbers. You start at point (0,0) and moves x[0] metres to the north, then x[1] metres to the west,\n\n x[2] metres to the south,\n\n x[3] metres to the east and so on. In other words, after each move your direction changes\n\n counter-clockwise.\n\n\n\n\n\n Write a one-pass algorithm with O(1) extra space to determine, if your path crosses itself, or not.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Vanya smashes potato in a vertical food processor. At each moment of time the height of the potato in the processor doesn't exceed h and the processor smashes k centimeters of potato each second. If there are less than k centimeters remaining, than during this second processor smashes all the remaining potato.\n\n\n\nVanya has n pieces of potato, the height of the i-th piece is equal to a_{i}. He puts them in the food processor one by one starting from the piece number 1 and finishing with piece number n. Formally, each second the following happens:\n\n\n\n If there is at least one piece of potato remaining, Vanya puts them in the processor one by one, until there is not enough space for the next piece. Processor smashes k centimeters of potato (or just everything that is inside). \n\n\n\nProvided the information about the parameter of the food processor and the size of each potato in a row, compute how long will it take for all the potato to become smashed.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integers n, h and k (1 \u2264 n \u2264 100 000, 1 \u2264 k \u2264 h \u2264 10^9)\u00a0\u2014 the number of pieces of potato, the height of the food processor and the amount of potato being smashed each second, respectively.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 h)\u00a0\u2014 the heights of the pieces.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the number of seconds required to smash all the potatoes following the process described in the problem statement.", "responses": { "n, h, k = [int(x) for x in input().split()]\nL=[int(x) for x in input().split()]\nL = L[::-1]\np = 0\nt = 0\nwhile L:\n if L and h-p >= L[-1]:\n p+=L.pop()\n if L:\n req = L[-1]-h+p\n inc = (req-1)//k + 1\n t += inc\n p -= inc*k\n p=max(p,0)\nif p:\n t += (p-1)//k + 1\nprint(t)": 1.0, "```python\nn, h, k = [int(x) for x in input().split()]\nL=[int(x) for x in input().split()]\nL = L[::-1]\np = 0\nt = 0\nwhile L:\n if L and h-p >= L[-1]:\n p+=L.pop()\n if L:\n req = L[-1]-h+p\n inc = (req-1)//k + 1\n t += inc\n p -= inc*k\n p=max(p,h) # <- bug 1\nif p:\n t += (p-1)//k + 1\nprint(t)\n```": 0.0, "```python\nn, h, k = [int(x) for x in input().split()]\nL=[int(x) for x in input().split()]\nL = L[::-1]\np = 0\nt = 0\nwhile L:\n if L and h-p >= L[-1]:\n p+=L.pop()\n if L:\n req = L[-1]-h+p\n inc = (req-1)//k - 1 # <- bug 2\n t += inc\n p -= inc*k\n p=max(p,0)\nif p:\n t += (p-1)//k + 1\nprint(t)\n```": 0.0, "```python\nn, h, k = [int(x) for x in input().split()]\nL=[int(x) for x in input().split()]\nL = L[::-1]\np = 0\nt = 0\nwhile L:\n if L and h-p >= L[-1]:\n p+=L.pop()\n if L:\n req = L[-1]-h+p\n inc = (req+1)//k + 1 # <- bug 3\n t -= inc\n p -= inc*k\n p=max(p,0)\nif p:\n t += (p-1)//k + 1\nprint(t)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nVanya smashes potato in a vertical food processor. At each moment of time the height of the potato in the processor doesn't exceed h and the processor smashes k centimeters of potato each second. If there are less than k centimeters remaining, than during this second processor smashes all the remaining potato.\n\n\n\nVanya has n pieces of potato, the height of the i-th piece is equal to a_{i}. He puts them in the food processor one by one starting from the piece number 1 and finishing with piece number n. Formally, each second the following happens:\n\n\n\n If there is at least one piece of potato remaining, Vanya puts them in the processor one by one, until there is not enough space for the next piece. Processor smashes k centimeters of potato (or just everything that is inside). \n\n\n\nProvided the information about the parameter of the food processor and the size of each potato in a row, compute how long will it take for all the potato to become smashed.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integers n, h and k (1 \u2264 n \u2264 100 000, 1 \u2264 k \u2264 h \u2264 10^9)\u00a0\u2014 the number of pieces of potato, the height of the food processor and the amount of potato being smashed each second, respectively.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 h)\u00a0\u2014 the heights of the pieces.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the number of seconds required to smash all the potatoes following the process described in the problem statement.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "(This problem is the same as Minimize Malware Spread, with the differences bolded.)\n\nIn a network of nodes, each node i is directly connected to another node j if and only if\u00a0graph[i][j] = 1.\n\nSome nodes initial are initially infected by malware.\u00a0 Whenever two nodes are directly connected and at least one of those two nodes is infected by malware, both nodes will be infected by malware.\u00a0 This spread of malware will continue until no more nodes can be infected in this manner.\n\nSuppose M(initial)\u00a0is the final number of nodes infected with malware in the entire network, after the spread of malware stops.\n\nWe will\u00a0remove one node from the initial list, completely removing it and any connections from this node to any other node.\u00a0 Return the node that if removed, would minimize\u00a0M(initial).\u00a0 If multiple nodes could be removed to minimize M(initial), return such a node with the smallest index.", "responses": { "from collections import deque\nclass Solution:\n def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n \n def bfs(graph, seed, removed):\n queue = deque(seed)\n visited = seed\n \n while len(queue) > 0:\n node = queue.popleft()\n for next_node in range(len(graph[node])):\n if graph[node][next_node] == 0 or next_node in visited or next_node == removed:\n continue\n visited.add(next_node)\n queue.append(next_node)\n return len(visited)\n \n best = len(graph)\n best_remove = initial[0]\n initial = set(initial)\n \n for remove_node in initial:\n initial_removed = initial - {remove_node}\n node_result = bfs(graph, initial_removed, remove_node)\n if (node_result < best) or (node_result == best) and (best_remove > remove_node):\n best = node_result\n best_remove = remove_node\n return best_remove": 1.0, "from collections import deque\nclass Solution:\n def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n \n def bfs(graph, seed, removed):\n queue = deque(seed)\n visited = seed\n \n while len(queue) > 0:\n node = queue.pop() # Incorrect method\n for next_node in range(len(graph[node])):\n if graph[node][next_node] == 0 or next_node in visited or next_node == removed:\n continue\n visited.add(next_node)\n queue.append(next_node)\n return len(visited)\n \n best = len(graph)\n best_remove = initial[0]\n initial = set(initial)\n \n for remove_node in initial:\n initial_removed = initial - {remove_node}\n node_result = bfs(graph, initial_removed, remove_node)\n if (node_result < best) or (node_result == best) and (best_remove > remove_node):\n best = node_result\n best_remove = remove_node\n return best_remove": 0.0, "from collections import deque\nclass Solution:\n def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n \n def bfs(graph, seed, removed):\n queue = deque(seed)\n visited = seed\n graph[0].append(1) # Incorrect modification\n \n while len(queue) > 0:\n node = queue.popleft()\n for next_node in range(len(graph[node])):\n if graph[node][next_node] == 0 or next_node in visited or next_node == removed:\n continue\n visited.add(next_node)\n queue.append(next_node)\n return len(visited)\n \n best = len(graph)\n best_remove = initial[0]\n initial = set(initial)\n \n for remove_node in initial:\n initial_removed = initial - {remove_node}\n node_result = bfs(graph, initial_removed, remove_node)\n if (node_result < best) or (node_result == best) and (best_remove > remove_node):\n best = node_result\n best_remove = remove_node\n return best_remove": 0.0, "from collections import deque\nclass Solution:\n def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n \n def bfs(graph, seed, removed):\n queue = deque(seed)\n visited = seed\n \n while len(queue) > 0:\n node = queue.popleft()\n for next_node in range(len(graph[node])):\n if graph[node][next_node] == 0 or next_node in visited or next_node == removed:\n visited.add(next_node) # Incorrect indentation\n queue.append(next_node)\n return len(visited)\n \n best = len(graph)\n best_remove = initial[0]\n initial = set(initial)\n \n for remove_node in initial:\n initial_removed = initial - {remove_node}\n node_result = bfs(graph, initial_removed, remove_node)\n if (node_result < best) or (node_result == best) and (best_remove > remove_node):\n best = node_result\n best_remove = remove_node\n return best_remove": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n(This problem is the same as Minimize Malware Spread, with the differences bolded.)\n\nIn a network of nodes, each node i is directly connected to another node j if and only if\u00a0graph[i][j] = 1.\n\nSome nodes initial are initially infected by malware.\u00a0 Whenever two nodes are directly connected and at least one of those two nodes is infected by malware, both nodes will be infected by malware.\u00a0 This spread of malware will continue until no more nodes can be infected in this manner.\n\nSuppose M(initial)\u00a0is the final number of nodes infected with malware in the entire network, after the spread of malware stops.\n\nWe will\u00a0remove one node from the initial list, completely removing it and any connections from this node to any other node.\u00a0 Return the node that if removed, would minimize\u00a0M(initial).\u00a0 If multiple nodes could be removed to minimize M(initial), return such a node with the smallest index.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Recently, a start up by two students of a state university of city F gained incredible popularity. Now it's time to start a new company. But what do we call it?\n\n\n\nThe market analysts came up with a very smart plan: the name of the company should be identical to its reflection in a mirror! In other words, if we write out the name of the company on a piece of paper in a line (horizontally, from left to right) with large English letters, then put this piece of paper in front of the mirror, then the reflection of the name in the mirror should perfectly match the line written on the piece of paper.\n\n\n\nThere are many suggestions for the company name, so coming up to the mirror with a piece of paper for each name wouldn't be sensible. The founders of the company decided to automatize this process. They asked you to write a program that can, given a word, determine whether the word is a 'mirror' word or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a non-empty name that needs to be checked. The name contains at most 10^5 large English letters. The name will be written with the next sans serif font: $\\text{ABCDEFGHI JKLMNOPQRSTUVWXYZ}$\n\n\n\n\n\n-----Output-----\n\n\n\nPrint 'YES' (without the quotes), if the given name matches its mirror reflection. Otherwise, print 'NO' (without the quotes).", "responses": { "s=input()\nM={\"A\",\"H\",\"I\",\"M\",\"O\",\"T\",\"U\",\"V\",\"W\",\"X\",\"Y\"}\nans=\"YES\"\nn=len(s)\nfor i in range(len(s)//2):\n x=s[i]\n y=s[n-i-1]\n if(x!=y or x not in M):\n ans=\"NO\"\n break\nif(n%2==1):\n if(s[n//2] not in M):\n ans=\"NO\"\nprint(ans)\n ": 1.0, "s=input()\nM={\"A\",\"H\",\"I\",\"M\",\"O\",\"T\",\"U\",\"V\",\"W\",\"X\",\"Y\"}\nans=\"NO\"\nn=len(s)\nfor i in range(len(s)//2):\n x=s[i]\n y=s[n-i-1]\n if(x!=y or x not in M):\n ans=\"YES\"\n break\nif(n%2==1):\n if(s[n//2] not in M):\n ans=\"YES\"\nprint(ans)": 0.0, "s=input()\nM={\"A\",\"H\",\"I\",\"M\",\"O\",\"T\",\"U\",\"V\",\"W\",\"X\",\"Y\"}\nans=\"NO\"\nn=len(s)\nfor i in range(len(s)//2):\n x=s[i]\n y=s[n-i-1]\n if(x==y or x in M):\n ans=\"YES\"\n break\nif(n%2==1):\n if(s[n//2] not in M):\n ans=\"YES\"\nprint(ans)": 0.0, "s=input()\nM={\"A\",\"H\",\"I\",\"M\",\"O\",\"T\",\"U\",\"V\",\"W\",\"X\"}\nans=\"YES\"\nn=len(s)\nfor i in range(len(s)//2):\n x=s[i]\n y=s[n-i-1]\n if(x!=y or x not in M):\n ans=\"NO\"\n break\nif(n%2==1):\n if(s[n//2] in M):\n ans=\"NO\"\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nRecently, a start up by two students of a state university of city F gained incredible popularity. Now it's time to start a new company. But what do we call it?\n\n\n\nThe market analysts came up with a very smart plan: the name of the company should be identical to its reflection in a mirror! In other words, if we write out the name of the company on a piece of paper in a line (horizontally, from left to right) with large English letters, then put this piece of paper in front of the mirror, then the reflection of the name in the mirror should perfectly match the line written on the piece of paper.\n\n\n\nThere are many suggestions for the company name, so coming up to the mirror with a piece of paper for each name wouldn't be sensible. The founders of the company decided to automatize this process. They asked you to write a program that can, given a word, determine whether the word is a 'mirror' word or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a non-empty name that needs to be checked. The name contains at most 10^5 large English letters. The name will be written with the next sans serif font: $\\text{ABCDEFGHI JKLMNOPQRSTUVWXYZ}$\n\n\n\n\n\n-----Output-----\n\n\n\nPrint 'YES' (without the quotes), if the given name matches its mirror reflection. Otherwise, print 'NO' (without the quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The set [1,2,3,...,n] contains a total of n! unique permutations.\n\n\n\nBy listing and labeling all of the permutations in order, we get the following sequence for n = 3:\n\n\n\n\n\n \"123\"\n\n \"132\"\n\n \"213\"\n\n \"231\"\n\n \"312\"\n\n \"321\"\n\n\n\n\n\nGiven n and k, return the kth permutation sequence.\n\n\n\nNote:\n\n\n\n\n\n Given n will be between 1 and 9 inclusive.\n\n Given\u00a0k\u00a0will be between 1 and n! inclusive.", "responses": { "class Solution:\n def getPermutation(self, n, k):\n \"\"\"\n :type n: int\n :type k: int\n :rtype: str\n \"\"\"\n nums = list(\"123456789\")\n k -= 1\n factor = 1\n for i in range(1, n):\n factor *= i\n res = []\n for i in reversed(list(range(n))):\n res.append(nums[k//factor])\n nums.remove(nums[k//factor])\n if i:\n k %= factor\n factor //= i\n return \"\".join(res)": 1.0, "class Solution:\n def getPermutation(self, n, k):\n \"\"\"\n :type n: int\n :type k: int\n :rtype: str\n \"\"\"\n nums = list(\"123456789\")\n k -= 1\n factor = 1\n for i in range(1, n):\n factor *= i\n res = []\n for i in reversed(list(range(n)):\n res.append(nums[k//factor])\n nums.remove(nums[k//factor])\n if i:\n k %= factor\n factor //= i\n return \"\".join(res)": 0.0, "class Solution:\n def getPermutation(self, n, k):\n \"\"\"\n :type n: int\n :type k: int\n :rtype: str\n \"\"\"\n nums = list(\"123456789\")\n k -= 1\n factor = 1\n for i in range(1, n)\n factor *= i\n res = []\n for i in reversed(list(range(n))):\n res.append(nums[k//factor])\n nums.remove(nums[k//factor])\n if i:\n k %= factor\n factor //= i\n return \"\".join(res)": 0.0, "class Solution:\n def getPermutation(self, n, k):\n \"\"\"\n :type n: int\n :type k: int\n :rtype: str\n \"\"\"\n nums = list(\"123456789\")\n k -= 1\n factor = 1\n for i in range(1, n):\n factor *= i\n res = []\n for i in reversed(list(range(n))):\n res.append(nums[k//factor])\n nums.remove(nums[k//factor])\n if i\n k %= factor\n factor //= i\n return \"\".join(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe set [1,2,3,...,n] contains a total of n! unique permutations.\n\n\n\nBy listing and labeling all of the permutations in order, we get the following sequence for n = 3:\n\n\n\n\n\n \"123\"\n\n \"132\"\n\n \"213\"\n\n \"231\"\n\n \"312\"\n\n \"321\"\n\n\n\n\n\nGiven n and k, return the kth permutation sequence.\n\n\n\nNote:\n\n\n\n\n\n Given n will be between 1 and 9 inclusive.\n\n Given\u00a0k\u00a0will be between 1 and n! inclusive.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N gas stations along a circular route, where the amount of gas at station i is gas[i].\n\n\n\nYou have a car with an unlimited gas tank and it costs cost[i] of gas to travel from station i to its next station (i+1). You begin the journey with an empty tank at one of the gas stations.\n\n\n\nReturn the starting gas station's index if you can travel around the circuit once in the clockwise direction, otherwise return -1.\n\n\n\nNote:\n\n\n\n\n\n If there exists a\u00a0solution, it is guaranteed to be unique.\n\n Both input arrays are non-empty and have the same length.\n\n Each element in the input arrays is a non-negative integer.", "responses": { "class Solution:\n def canCompleteCircuit(self, gas, cost):\n \"\"\"\n :type gas: List[int]\n :type cost: List[int]\n :rtype: int\n \"\"\"\n if sum(gas) < sum(cost):\n return -1\n Rest = 0\n index = 0\n for i in range(len(gas)):\n Rest += gas[i] - cost[i]\n if Rest < 0:\n index = i + 1\n Rest = 0\n return index": 1.0, "class Solution:\n def canCompleteCircuit(self, gas, cost):\n \"\"\"\n :type gas: List[int]\n :type cost: List[int]\n :rtype: int\n \"\"\"\n if sum(gas) < sum(cost):\n return -1\n Rest = 0\n index = len(gas) # Incorrect index initialization\n for i in range(len(gas)):\n Rest += gas[i] - cost[i]\n if Rest < 0:\n index = i + 1\n Rest = 0\n return index": 0.0, "class Solution:\n def canCompleteCircuit(self, gas, cost):\n \"\"\"\n :type gas: List[int]\n :type cost: List[int]\n :rtype: int\n \"\"\"\n if sum(gas) < sum(cost):\n return -1\n Rest = 0\n index = 0\n for i in range(len(gas)):\n cost[i] -= 1 # Incorrectly decrementing cost\n Rest += gas[i] - cost[i]\n if Rest < 0:\n index = i + 1\n Rest = 0\n return index": 0.0, "class Solution:\n def canCompleteCircuit(self, gas, cost):\n \"\"\"\n :type gas: List[int]\n :type cost: List[int]\n :rtype: int\n \"\"\"\n if sum(gas) < sum(cost):\n return -1\n Rest = 0\n index = 0\n for i in range(len(gas)):\n Rest += gas[i]\n if i < len(cost): # Incorrect condition for accessing cost array\n Rest -= cost[i]\n if Rest < 0:\n index = i + 1\n Rest = 0\n return index": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N gas stations along a circular route, where the amount of gas at station i is gas[i].\n\n\n\nYou have a car with an unlimited gas tank and it costs cost[i] of gas to travel from station i to its next station (i+1). You begin the journey with an empty tank at one of the gas stations.\n\n\n\nReturn the starting gas station's index if you can travel around the circuit once in the clockwise direction, otherwise return -1.\n\n\n\nNote:\n\n\n\n\n\n If there exists a\u00a0solution, it is guaranteed to be unique.\n\n Both input arrays are non-empty and have the same length.\n\n Each element in the input arrays is a non-negative integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a table consisting of n rows and m columns.\n\n\n\nNumbers in each row form a permutation of integers from 1 to m.\n\n\n\nYou are allowed to pick two elements in one row and swap them, but no more than once for each row. Also, no more than once you are allowed to pick two columns and swap them. Thus, you are allowed to perform from 0 to n + 1 actions in total. Operations can be performed in any order.\n\n\n\nYou have to check whether it's possible to obtain the identity permutation 1, 2, ..., m in each row. In other words, check if one can perform some of the operation following the given rules and make each row sorted in increasing order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers n and m (1 \u2264 n, m \u2264 20)\u00a0\u2014 the number of rows and the number of columns in the given table. \n\n\n\nEach of next n lines contains m integers\u00a0\u2014 elements of the table. It's guaranteed that numbers in each line form a permutation of integers from 1 to m.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is a way to obtain the identity permutation in each row by following the given rules, print \"YES\" (without quotes) in the only line of the output. Otherwise, print \"NO\" (without quotes).", "responses": { "import sys\nn, m = list(map(int,input().split()))\ng = [list(map(int,input().split())) for _ in range(n)]\nfor c1 in range(m):\n for c2 in range(c1, m):\n ok = True\n for row in g:\n row[c1], row[c2] = row[c2], row[c1]\n cnt = 0\n for i in range(m):\n if row[i] != i + 1:\n cnt += 1\n if cnt > 2:\n break\n row[c1], row[c2] = row[c2], row[c1]\n if cnt > 2:\n ok = False\n break\n if ok:\n print('YES')\n return\nprint('NO')": 1.0, "def find_sum(nums):\n for i in range(len(nums)):\n for j in range(i, len(nums)):\n for k in range(len(nums)):\n if nums[i] + nums[j] == nums[k]:\n return True\n return False": 0.0, "def find_sum(nums):\n for i in range(len(nums)):\n for j in range(i+1, len(nums)):\n for k in range(i, len(nums)):\n if nums[i] + nums[j] == nums[k]:\n return True\n return False": 0.0, "def find_sum(nums):\n for i in range(len(nums)):\n for j in range(i+1, len(nums)):\n for k in range(len(nums)):\n if nums[i] - nums[j] == nums[k]:\n return True\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a table consisting of n rows and m columns.\n\n\n\nNumbers in each row form a permutation of integers from 1 to m.\n\n\n\nYou are allowed to pick two elements in one row and swap them, but no more than once for each row. Also, no more than once you are allowed to pick two columns and swap them. Thus, you are allowed to perform from 0 to n + 1 actions in total. Operations can be performed in any order.\n\n\n\nYou have to check whether it's possible to obtain the identity permutation 1, 2, ..., m in each row. In other words, check if one can perform some of the operation following the given rules and make each row sorted in increasing order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers n and m (1 \u2264 n, m \u2264 20)\u00a0\u2014 the number of rows and the number of columns in the given table. \n\n\n\nEach of next n lines contains m integers\u00a0\u2014 elements of the table. It's guaranteed that numbers in each line form a permutation of integers from 1 to m.\n\n\n\n\n\n-----Output-----\n\n\n\nIf there is a way to obtain the identity permutation in each row by following the given rules, print \"YES\" (without quotes) in the only line of the output. Otherwise, print \"NO\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In universe Earth\u00a0C-137, Rick discovered a special form of magnetic force between\u00a0two balls if they are put in his new invented basket. Rick has\u00a0n empty baskets, the ith basket is at position[i], Morty has m balls and needs to distribute the balls into the baskets such that the minimum\u00a0magnetic force\u00a0between any two balls is maximum.\n\nRick stated that\u00a0magnetic force between two different balls at positions x and y is |x - y|.\n\nGiven the integer array position\u00a0and the integer m. Return the required force.", "responses": { "class Solution:\n def maxDistance(self, position: List[int], m: int) -> int:\n position.sort()\n \n max_distance_between = (position[-1] - 1) // (m - 1)\n min_distance_between = 1\n \n if self.isDistancePossible(max_distance_between, position, m): return max_distance_between\n \n while max_distance_between > min_distance_between + 1:\n middle_distance = (min_distance_between + max_distance_between) // 2\n \n if self.isDistancePossible(middle_distance, position, m):\n min_distance_between = middle_distance\n else:\n max_distance_between = middle_distance\n \n return min_distance_between\n \n def isDistancePossible(self, distance, position, m):\n used_ball_count = 0\n previous_used_position = float('-inf')\n \n for pos in position:\n if pos - previous_used_position >= distance:\n used_ball_count += 1\n previous_used_position = pos\n \n return used_ball_count >= m": 1.0, "class Solution:\n def maxDistance(self, position: List[int], m: int) -> int:\n position.sort()\n \n max_distance_between = (position[-1] - 1) // (m - 1)\n min_distance_between = 1\n \n if self.isDistancePossible(max_distance_between, position, m): return max_distance_between\n \n while max_distance_between > min_distance_between + 1:\n middle_distance = (min_distance_between + max_distance_between) // 2\n \n if self.isDistancePossible(middle_distance, position, m):\n min_distance_between = middle_distance\n else:\n max_distance_between = middle_distance\n \n return min_distance_between\n \n def isDistancePossible(self, distance, position, m):\n used_ball_count = 0\n previous_used_position = float('-inf')\n \n for pos in position:\n if pos - previous_used_position > distance:\n used_ball_count += 1\n previous_used_position = pos\n \n return used_ball_count >= m": 0.0, "class Solution:\n def maxDistance(self, position: List[int], m: int) -> int:\n position.sort()\n \n max_distance_between = (position[-1] - 1) // (m - 1)\n min_distance_between = 1\n \n if self.isDistancePossible(max_distance_between, position, m): return max_distance_between\n \n while max_distance_between > min_distance_between + 1:\n middle_distance = (min_distance_between + max_distance_between) // 2\n \n if self.isDistancePossible(middle_distance, position, m):\n min_distance_between = middle_distance\n else:\n max_distance_between = middle_distance\n \n return min_distance_between\n \n def isDistancePossible(self, distance, position, m):\n used_ball_count = 0\n previous_used_position = float('-inf')\n \n for pos in position:\n if pos - previous_used_position >= distance:\n used_ball_count -= 1\n previous_used_position = pos\n \n return used_ball_count >= m": 0.0, "class Solution:\n def maxDistance(self, position: List[int], m: int) -> int:\n position.sort()\n \n max_distance_between = (position[-1] - 1) // (m - 1)\n min_distance_between = 1\n \n if self.isDistancePossible(max_distance_between, position, m): return max_distance_between\n \n while max_distance_between > min_distance_between + 1:\n middle_distance = (min_distance_between + max_distance_between) // 2\n \n if isDistancePossible(middle_distance, position, m):\n min_distance_between = middle_distance\n else:\n max_distance_between = middle_distance\n \n return min_distance_between\n \n def isDistancePossible(self, distance, position, m):\n used_ball_count = 0\n previous_used_position = float('-inf')\n \n for pos in position:\n if pos - previous_used_position >= distance:\n used_ball_count += 1\n previous_used_position = pos\n \n return used_ball_count >= m": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn universe Earth\u00a0C-137, Rick discovered a special form of magnetic force between\u00a0two balls if they are put in his new invented basket. Rick has\u00a0n empty baskets, the ith basket is at position[i], Morty has m balls and needs to distribute the balls into the baskets such that the minimum\u00a0magnetic force\u00a0between any two balls is maximum.\n\nRick stated that\u00a0magnetic force between two different balls at positions x and y is |x - y|.\n\nGiven the integer array position\u00a0and the integer m. Return the required force.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two jugs with capacities x and y litres. There is an infinite amount of water supply available.\n\nYou need to determine whether it is possible to measure exactly z litres using these two jugs.\n\n\n\nIf z liters of water is measurable, you must have z liters of water contained within one or both buckets by the end.\n\n\n\n\n\nOperations allowed:\n\n\n\nFill any of the jugs completely with water.\n\nEmpty any of the jugs.\n\nPour water from one jug into another till the other jug is completely full or the first jug itself is empty.", "responses": { "class Solution:\n def canMeasureWater(self, x, y, z):\n \"\"\"\n :type x: int\n :type y: int\n :type z: int\n :rtype: bool\n \"\"\"\n if x > y:\n x, y = y, x\n if z < 0 or z > x+y:\n return False\n if x == 0:\n return z == y or z == 0\n if z % x == 0:\n return True\n if y % x == 0:\n return False\n a = x\n b = y%x\n while a > 1 and b > 1:\n a = a%b\n a, b = b, a\n if b == 0:\n m = a\n else:\n m = b\n if z%m == 0:\n return True\n return False": 1.0, "class Solution:\n def canMeasureWater(self, x, y, z):\n \n if x > y:\n x, y = y, x\n if z < 0 or z > x+y:\n return False\n if x == 0:\n return z == y or z == 0\n if z % x == 0:\n return True\n if y % x == 0:\n return False\n a = x\n b = y%x\n while a > 1 and b > 1:\n a = a%b\n a, b = b, a\n if b == 0:\n m = a\n else:\n m = b\n if z%m == 0:\n return True\n return False": 0.0, "class Solution:\n def canMeasureWater(self, x, y, z):\n \n if x > y:\n x, y = y, x\n if z < 0 or z > x+y:\n return False\n if x == 0:\n return z == y or z == 0\n \n if z % x == 0:\n return True\n if y % x == 0:\n return False\n a = x\n b = y%x\n \n while a > 1 and b > 1:\n a = a%b\n a, b = b, a\n if b == 0:\n m = a\n else:\n m = b\n if z%m == 0:\n return True\n return False": 0.0, "class Solution:\n def canMeasureWater(self, x, y, z):\n \n if x > y:\n x, y = y, x\n if z < 0 or z > x+y:\n return False\n if x == 0:\n return z == y or z == 0\n if z % x == 0:\n return True\n \n if y % x == 0:\n return False\n a = x\n b = y%x\n while a > 1 and b > 1:\n a = a%b\n a, b = b, a\n if b == 0:\n m = a\n else:\n m = b\n if z%m == 0:\n return True\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two jugs with capacities x and y litres. There is an infinite amount of water supply available.\n\nYou need to determine whether it is possible to measure exactly z litres using these two jugs.\n\n\n\nIf z liters of water is measurable, you must have z liters of water contained within one or both buckets by the end.\n\n\n\n\n\nOperations allowed:\n\n\n\nFill any of the jugs completely with water.\n\nEmpty any of the jugs.\n\nPour water from one jug into another till the other jug is completely full or the first jug itself is empty.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Amr has got a large array of size n. Amr doesn't like large arrays so he intends to make it smaller.\n\n\n\nAmr doesn't care about anything in the array except the beauty of it. The beauty of the array is defined to be the maximum number of times that some number occurs in this array. He wants to choose the smallest subsegment of this array such that the beauty of it will be the same as the original array.\n\n\n\nHelp Amr by choosing the smallest subsegment possible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one number n (1 \u2264 n \u2264 10^5), the size of the array.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^6), representing elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput two integers l, r (1 \u2264 l \u2264 r \u2264 n), the beginning and the end of the subsegment chosen respectively.\n\n\n\nIf there are several possible answers you may output any of them.", "responses": { "import collections\nn = int(input())\nAs = list(map(int, input().split()))\ndef solve(n, As):\n counter = collections.Counter(As)\n candidates = []\n prev_freq = 0\n for num, freq in counter.most_common():\n if prev_freq and prev_freq!= freq:\n break\n candidates.append(num)\n prev_freq = freq\n lr = {cand:[] for cand in candidates}\n for i, a in enumerate(As, 1):\n if a in lr:\n lr[a].append(i)\n minspan = float('inf')\n for pos in list(lr.values()):\n if pos[-1] - pos[0] < minspan:\n minspan = pos[-1] - pos[0]\n LR = (pos[0], pos[-1])\n return LR\nprint(*solve(n, As))": 1.0, "import collections\nn = int(input())\nAs = list(map(int, input().split()))\ndef solve(n, As):\n counter = collections.Counter(As)\n candidates = []\n prev_freq = 1\n for num, freq in counter.most_common():\n if prev_freq and prev_freq!= freq:\n break\n candidates.append(num)\n prev_freq = freq\n lr = {cand:[] for cand in candidates}\n for i, a in enumerate(As, 1):\n if a in lr:\n lr[a].append(i)\n minspan = float('inf')\n for pos in list(lr.values()):\n if pos[-1] - pos[0] < minspan:\n minspan = pos[-1] - pos[0]\n LR = (pos[0], pos[-1])\n return LR\nprint(*solve(n, As))": 0.0, "import collections\nn = int(input())\nAs = list(map(int, input().split()))\ndef solve(n, As):\n counter = collections.Counter(As)\n candidates = []\n prev_freq = 0\n for num, freq in counter.most_common():\n if prev_freq:\n break\n candidates.append(num)\n prev_freq = freq\n lr = {cand:[] for cand in candidates}\n for i, a in enumerate(As):\n if a in lr:\n lr[a].append(i)\n minspan = float('inf')\n for pos in list(lr.values()):\n if pos[-1] - pos[0] < minspan:\n minspan = pos[-1] - pos[0]\n LR = (pos[0], pos[-1])\n return LR\nprint(*solve(n, As))": 0.0, "import collections\nn = int(input())\nAs = list(map(int, input().split()))\ndef solve(n, As):\n counter = collections.Counter(As)\n candidates = []\n prev_freq = 0\n for num, freq in counter.most_common():\n if prev_freq and prev_freq!= freq:\n break\n candidates.append(num)\n prev_freq = n\n lr = {cand:[] for cand in candidates}\n for i, a in enumerate(As, 1):\n if a in lr:\n lr[a].append(i)\n minspan = float('inf')\n for pos in list(lr.values()):\n if pos[-1] - pos[0] < minspan:\n minspan = pos[0] - pos[-1]\n LR = (pos[0], pos[-1])\n return LR\nprint(*solve(n, As))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAmr has got a large array of size n. Amr doesn't like large arrays so he intends to make it smaller.\n\n\n\nAmr doesn't care about anything in the array except the beauty of it. The beauty of the array is defined to be the maximum number of times that some number occurs in this array. He wants to choose the smallest subsegment of this array such that the beauty of it will be the same as the original array.\n\n\n\nHelp Amr by choosing the smallest subsegment possible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one number n (1 \u2264 n \u2264 10^5), the size of the array.\n\n\n\nThe second line contains n integers a_{i} (1 \u2264 a_{i} \u2264 10^6), representing elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput two integers l, r (1 \u2264 l \u2264 r \u2264 n), the beginning and the end of the subsegment chosen respectively.\n\n\n\nIf there are several possible answers you may output any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Jack and Jill are playing a game. They have balls numbered from `0` to `n - 1`. Jack looks the other way and asks Jill to reverse the position of the balls, for instance, to change the order from say, `0,1,2,3` to `3,2,1,0`. He further asks Jill to reverse the position of the balls `n` times, each time starting from one position further to the right, till she reaches the last ball. So, Jill has to reverse the positions of the ball starting from position `0`, then from position `1`, then from position `2` and so on. At the end of the game, Jill will ask Jack to guess the final position of any ball numbered `k`. \n\n\n\nYou will be given `2` integers, the first will be `n`(balls numbered from `0` to `n-1`) and the second will be `k`. You will return the position of the ball numbered `k` after the rearrangement.\n\n\n\n```Perl\n\nsolve(4,1) = 3. The reversals are [0,1,2,3] -> [3,2,1,0] -> [3,0,1,2] -> [3,0,2,1]. => 1 is in position 3.\n\n```\n\n\n\nMore examples in the test cases. Good luck!", "responses": { "def solve(count, ball_number):\n \"\"\"\n Return the position of the `ball_number` after the game with `count` balls\n :param count: Number of balls\n :type count: int\n :param ball_number: Number of ball to be found in the end\n :type ball_number: int\n :return: Return the index of the ball `ball_number` at the end of the game\n :rtype: int\n \"\"\"\n assert isinstance(count, int)\n assert isinstance(ball_number, int)\n balls = list(range(count))\n for idx in range(count):\n balls = balls[:idx] + balls[idx:][::-1]\n return balls.index(ball_number)": 1.0, "```Python\ndef solve(count, ball_number):\n assert isinstance(count, int)\n assert isinstance(ball_number, int)\n balls = list(range(1, count))\n for idx in range(1, count):\n balls = balls[:idx] + balls[idx:][::-1]\n return balls.count(ball_number) # Bug: Should return position, but returning count instead\n```": 0.0, "```Python\ndef solve(count, ball_number):\n assert isinstance(count, int)\n assert isinstance(ball_number, int)\n balls = list(range(1, count))\n for idx in range(1, count):\n balls = balls[:idx] + balls[idx:][::-1]\n return balls.index(ball_number) + 1 # Bug: Adding 1 to the index\n```": 0.0, "```Python\ndef solve(count, ball_number):\n assert isinstance(count, int)\n balls = list(range(1, count)) # Bug: Missing isinstance() check for ball_number\n for idx in range(1, count):\n balls = balls[:idx] + balls[idx:][::-1]\n return balls.index(ball_number)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nJack and Jill are playing a game. They have balls numbered from `0` to `n - 1`. Jack looks the other way and asks Jill to reverse the position of the balls, for instance, to change the order from say, `0,1,2,3` to `3,2,1,0`. He further asks Jill to reverse the position of the balls `n` times, each time starting from one position further to the right, till she reaches the last ball. So, Jill has to reverse the positions of the ball starting from position `0`, then from position `1`, then from position `2` and so on. At the end of the game, Jill will ask Jack to guess the final position of any ball numbered `k`. \n\n\n\nYou will be given `2` integers, the first will be `n`(balls numbered from `0` to `n-1`) and the second will be `k`. You will return the position of the ball numbered `k` after the rearrangement.\n\n\n\n```Perl\n\nsolve(4,1) = 3. The reversals are [0,1,2,3] -> [3,2,1,0] -> [3,0,1,2] -> [3,0,2,1]. => 1 is in position 3.\n\n```\n\n\n\nMore examples in the test cases. Good luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s. An awesome substring is a non-empty substring of s such that we can make any number of swaps in order to make it palindrome.\n\nReturn the length of the maximum length awesome substring of s.", "responses": { "class Solution:\n def longestAwesome(self, s: str) -> int:\n cum = [0]\n firsts = {0: -1}\n lasts = {0: -1}\n for i, c in enumerate(s):\n cum.append(cum[-1] ^ (1 << (ord(c) - 48)))\n if cum[-1] not in firsts:\n firsts[cum[-1]] = i\n lasts[cum[-1]] = i\n mx = 1\n for k in firsts:\n mx = max(mx, lasts[k] - firsts[k])\n for off in range(10):\n o = k ^ (1 << off)\n if o in firsts:\n mx = max(mx, lasts[o] - firsts[k])\n return mx": 1.0, "class Solution:\n def longestAwesome(self, s: str) -> int:\n cum = [0]\n firsts = {0: -1}\n lasts = {0: -1}\n for i, c in enumerate(s):\n cum.append(cum[-1] ^ (1 << (ord(c) - 48)))\n if cum[-1] not in firsts:\n firsts[cum[-1]] = i\n lasts[cum[-1]] = i\n mx = 1\n for k in firsts:\n mx = max(mx, lasts[k] - firsts[k])\n for off in range(10):\n o = k ^ (1 << off)\n if o in firsts:\n mx = min(mx, lasts[o] - firsts[k]) # Bug: Should be max instead of min\n return mx": 0.0, "class Solution:\n def longestAwesome(self, s: str) -> int:\n cum = [0]\n firsts = {0: -1}\n lasts = {0: -1}\n for i, c in enumerate(s):\n cum.append(cum[-1] ^ (1 << (ord(c) - 48)))\n if cum[-1] not in firsts:\n firsts[cum[-1]] = i\n lasts[cum[-1]] = i\n mx = 1\n for k in firsts:\n mx = max(mx, lasts[k] - firsts[k])\n for off in range(11): # Bug: Should iterate through 10 instead of 11\n o = k ^ (1 << off)\n if o in firsts:\n mx = max(mx, lasts[o] - firsts[k])\n return mx": 0.0, "class Solution:\n def longestAwesome(self, s: str) -> int:\n cum = [0]\n firsts = {0: -1}\n lasts = {0: -1}\n for i, c in enumerate(s):\n cum.append(cum[-1] ^ (1 << (ord(c) - 48)))\n if cum[-1] not in firsts:\n firsts[cum[-1]] = i\n lasts[cum[-1]] = i\n mx = 1\n for k in firsts:\n mx = mx # Bug: No operation being performed here\n for off in range(10):\n o = k ^ (1 << off)\n if o in firsts:\n mx = max(mx, lasts[o] - firsts[k])\n return mx": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s. An awesome substring is a non-empty substring of s such that we can make any number of swaps in order to make it palindrome.\n\nReturn the length of the maximum length awesome substring of s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string s that consists of lower case English letters and brackets.\u00a0\n\nReverse the strings\u00a0in each\u00a0pair of matching parentheses, starting\u00a0from the innermost one.\n\nYour result should not contain any brackets.", "responses": { "class Solution:\n def reverseParentheses(self, s: str) -> str:\n \n \n stack = []\n curr = ''\n for c in s:\n if c=='(':\n stack.append(curr)\n curr = ''\n stack.append('(')\n elif c==')':\n stack.append(curr)\n curr = ''\n aux = ''\n while stack and stack[-1]!='(':\n aux=stack.pop()+aux\n stack.pop()\n stack.append(aux[::-1])\n else:\n curr+=c\n if curr:\n stack.append(curr)\n return ''.join(stack)": 1.0, "class Solution:\n def reverseParentheses(self, s: int) -> str:\n stack = []\n curr = ''\n for c in s:\n if c=='(':\n stack.append(curr)\n curr = ''\n stack.append('(')\n elif c==')':\n stack.append(curr)\n curr = ''\n aux = ''\n while stack and stack[-1]!='(':\n aux=stack.pop()+aux\n stack.pop()\n stack.append(aux[::-1])\n else:\n curr+=c\n if curr:\n stack.append(curr)\n return ''.join(stack)": 0.0, "class Solution:\n def reverseParentheses(self, s: str) -> str:\n stack = []\n curr = ''\n for c in s:\n if c=='(':\n stack.append(curr)\n curr = ''\n stack.append('(')\n elif c==')':\n stack.append(curr)\n curr = ''\n aux = ''\n while stack and stack[-1]!='(':\n aux=stack.pop()+aux\n stack.append(aux[::-1])\n stack.pop()\n else:\n curr+=c\n if curr:\n stack.append(curr)\n return ''.join(stack)": 0.0, "class Solution:\n def reverseParentheses(self, s: str) -> str:\n stack = []\n curr = ''\n for c in s:\n if c=='(':\n stack.append(curr)\n curr = ''\n stack.append('(')\n elif c==')':\n stack.append(curr)\n curr = ''\n aux = ''\n while stack and stack[-1]!='(':\n aux=stack.pop()+aux\n stack.append(aux[::-1])\n stack.pop()\n stack.append('(')\n else:\n curr+=c\n if curr:\n stack.append(curr)\n return ''.join(stack)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string s that consists of lower case English letters and brackets.\u00a0\n\nReverse the strings\u00a0in each\u00a0pair of matching parentheses, starting\u00a0from the innermost one.\n\nYour result should not contain any brackets.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "n participants of the competition were split into m teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends.\n\n\n\nYour task is to write a program that will find the minimum and the maximum number of pairs of friends that could have formed by the end of the competition.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of input contains two integers n and m, separated by a single space (1 \u2264 m \u2264 n \u2264 10^9) \u2014 the number of participants and the number of teams respectively. \n\n\n\n\n\n-----Output-----\n\n\n\nThe only line of the output should contain two integers k_{min} and k_{max} \u2014 the minimum possible number of pairs of friends and the maximum possible number of pairs of friends respectively.", "responses": { "\"\"\"\nCodeforces Contest 273 Div 2 Problem B\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef comb2(n):\n return n*(n-1)//2\ndef main():\n n,m = read()\n k = n // m\n p = n % m\n mn = p * comb2(k+1) + (m-p) * comb2(k)\n mx = comb2(n-m+1)\n print(mn, mx)\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return list(map(int, inputs.split()))\ndef write(s=\"\\n\"):\n if s is None: s = \"\"\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nwrite(main())": 1.0, "```\ndef comb2(n):\n return (n // 2) * (n - 1)\ndef main():\n n,m = read()\n k = n / m\n p = n % m\n mn = p * comb2(k+1) + (m-p) * comb2(k)\n mx = comb2(n-m+1)\n print(mn, mx)\ndef read(mode=2):\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return list(map(int, inputs.split()))\ndef write(s=\"\\n\"):\n if s is None: s = \"\"\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nwrite(main())\n```": 0.0, "```\ndef comb2(n):\n return n*(n-1)//2\ndef main():\n n,m = read()\n k = n // m\n p = n % m\n mn = p * comb2(k-1) + (m-p) * comb2(k)\n mx = comb2(n-m+1)\n print(mn, mx)\ndef read(mode=2):\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return list(map(int, inputs.split()))\ndef write(s=\"\\n\"):\n if s is None: s = \"\"\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nwrite(main())\n```": 0.0, "```\ndef comb2(n):\n return n*(n-1)\ndef main():\n n,m = read()\n k = n // m\n p = n % m\n mn = p * comb2(k+1) + (m-p) * comb2(k)\n mx = comb2(n+m+1)\n print(mn, mx)\ndef read(mode=2):\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return list(map(int, inputs.split()))\ndef write(s=\"\\n\"):\n if s is None: s = \"\"\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nwrite(main())\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nn participants of the competition were split into m teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends.\n\n\n\nYour task is to write a program that will find the minimum and the maximum number of pairs of friends that could have formed by the end of the competition.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of input contains two integers n and m, separated by a single space (1 \u2264 m \u2264 n \u2264 10^9) \u2014 the number of participants and the number of teams respectively. \n\n\n\n\n\n-----Output-----\n\n\n\nThe only line of the output should contain two integers k_{min} and k_{max} \u2014 the minimum possible number of pairs of friends and the maximum possible number of pairs of friends respectively.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Dreamoon wants to climb up a stair of n steps. He can climb 1 or 2 steps at each move. Dreamoon wants the number of moves to be a multiple of an integer m. \n\n\n\nWhat is the minimal number of moves making him climb to the top of the stairs that satisfies his condition?\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains two space separated integers n, m (0 < n \u2264 10000, 1 < m \u2264 10).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the minimal number of moves being a multiple of m. If there is no way he can climb satisfying condition print - 1 instead.", "responses": { "def func(p,m,n):\n w = p\n while w % m != 0 and w<=n:\n w += 1\n if w<= n:\n return w\n else:\n return -1\n \nl = input().split()\nn = int(l[0])\nm = int(l[1])\nif n % 2 == 0:\n p = int(n/2)\nelse:\n p = int(n/2)+1\nprint(func(p,m,n))": 1.0, "def func(p, m, n):\n w = p\n while w % m != 0 or w <= n: # Changed 'and' to 'or'\n w += 1\n if w <= n:\n return w\n else:\n return -1\n \nl = input().split()\nn = int(l[0])\nm = int(l[1])\nif n % 2 == 0:\n p = int(n/2)\nelse:\n p = int(n/2)+1\nprint(func(p, m, n))": 0.0, "def func(p, m, n):\n w = p\n while w % m != 0 and w < n: # Changed '<=' to '<'\n w += 1\n if w <= n:\n return w\n else:\n return -1\n \nl = input().split()\nn = int(l[0])\nm = int(l[1])\nif n % 2 == 0:\n p = int(n/2)\nelse:\n p = int(n/2)+1\nprint(func(p, m, n))": 0.0, "def func(p, m, n):\n w = p\n while w % m != 0 and w <= n:\n # No 'return' statement\n w += 1\n if w <= n:\n return w\n else:\n return -1\n \nl = input().split()\nn = int(l[0])\nm = int(l[1])\nif n % 2 == 0:\n p = int(n/2)\nelse:\n p = int(n/2)+1\nprint(func(p, m, n))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDreamoon wants to climb up a stair of n steps. He can climb 1 or 2 steps at each move. Dreamoon wants the number of moves to be a multiple of an integer m. \n\n\n\nWhat is the minimal number of moves making him climb to the top of the stairs that satisfies his condition?\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains two space separated integers n, m (0 < n \u2264 10000, 1 < m \u2264 10).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the minimal number of moves being a multiple of m. If there is no way he can climb satisfying condition print - 1 instead.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s. You should re-order the string using the following algorithm:\n\n\n\nPick the smallest character from s and append it to the result.\n\nPick the smallest character from s which is greater than the last appended character to the result and append it.\n\nRepeat step 2 until you cannot pick more characters.\n\nPick the largest\u00a0character from s and append it to the result.\n\nPick the largest\u00a0character from s which is smaller than the last appended character to the result and append it.\n\nRepeat step 5 until you cannot pick more characters.\n\nRepeat the steps from 1 to 6 until you pick all characters from s.\n\n\n\nIn each step, If the smallest or the largest character appears more than once you can choose any occurrence and append it to the result.\n\nReturn the result string after sorting s\u00a0with this algorithm.", "responses": { "class Solution:\n def sortString(self, s: str) -> str:\n sforward = sorted(s)\n sbackward = sforward[-1]\n \n suniq = ''\n \n for i in s:\n if i not in suniq:\n suniq += i\n suniq = sorted(suniq)\n \n max_count = 0\n \n for i in suniq:\n if s.count(i) > max_count:\n max_count = s.count(i)\n \n \n chr_count = [0 for i in range(len(suniq))]\n \n \n s_sort = ''\n \n for j in range(max_count):\n \n \n for i in range(len(suniq)):\n if chr_count[i] < s.count(suniq[i]):\n s_sort += suniq[i]\n chr_count[i] += 1\n else:\n continue\n \n suniq = suniq[::-1]\n chr_count = chr_count[::-1]\n \n \n return s_sort \n ": 1.0, "class Solution:\n def sortString(self, s: str) -> str:\n sforward = sorted(s)\n sbackward = sforward[-1]\n \n suniq = ''\n \n for i in s:\n if i not in suniq:\n suniq += i\n suniq = sorted(suniq)\n \n max_count = 0\n \n for i in suniq:\n if s.count(i) > max_count:\n max_count = s.count(i)\n \n \n chr_count = [0 for i in range(len(suniq))]\n \n \n s_sort = ''\n \n for j in range(max_count):\n \n \n for i in range(len(suniq)):\n if chr_count[i] < s.count(suniq[i]):\n s_sort += suniq[i]\n chr_count[i] += 1\n else:\n break\n \n suniq = suniq[::-1]\n chr_count = chr_count[::-1]\n \n \n return s_sort": 0.0, "class Solution:\n def sortString(self, s: str) -> str:\n sforward = sorted(s)\n sbackward = sforward[-1]\n \n suniq = ''\n \n for i in s:\n if i not in suniq:\n suniq += i\n suniq = sorted(suniq)\n \n max_count = 0\n \n for i in suniq:\n if s.count(i) > max_count:\n max_count = s.count(i)\n \n \n chr_count = [0 for i in range(len(suniq))]\n \n \n s_sort = ''\n \n for j in range(max_count):\n \n \n for i in range(len(suniq)):\n if chr_count[i] < s.count(suniq[i]):\n s_sort += suniq[i]\n chr_count[i] += 1\n else:\n continue\n \n suniq = suniq[::-1]\n chr_count = chr_count[::1]\n \n \n return s_sort": 0.0, "class Solution:\n def sortString(self, s: str) -> str:\n sforward = sorted(s)\n sbackward = sforward[-1]\n \n suniq = ''\n \n for i in s:\n if i not in suniq:\n suniq += i\n suniq = sorted(suniq)\n \n max_count = 0\n \n for i in suniq:\n if s.count(i) > max_count:\n max_count = s.count(i)\n \n \n chr_count = [0 for i in range(len(suniq))]\n \n \n s_sort = ''\n \n for j in range(max_count):\n \n \n for i in range(len(suniq)):\n if chr_count[i] < s.count(suniq[i]):\n s_sort += suniq[i]\n chr_count[i] += 1\n else:\n continue\n \n suniq = suniq[::-1]\n chr_count = chr_count[::-1]\n \n \n return s_sor": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s. You should re-order the string using the following algorithm:\n\n\n\nPick the smallest character from s and append it to the result.\n\nPick the smallest character from s which is greater than the last appended character to the result and append it.\n\nRepeat step 2 until you cannot pick more characters.\n\nPick the largest\u00a0character from s and append it to the result.\n\nPick the largest\u00a0character from s which is smaller than the last appended character to the result and append it.\n\nRepeat step 5 until you cannot pick more characters.\n\nRepeat the steps from 1 to 6 until you pick all characters from s.\n\n\n\nIn each step, If the smallest or the largest character appears more than once you can choose any occurrence and append it to the result.\n\nReturn the result string after sorting s\u00a0with this algorithm.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array $a_1, a_2, \\ldots, a_n$.\n\n\n\nIn one operation you can choose two elements $a_i$ and $a_j$ ($i \\ne j$) and decrease each of them by one.\n\n\n\nYou need to check whether it is possible to make all the elements equal to zero or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($2 \\le n \\le 10^5$)\u00a0\u2014 the size of the array.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1 \\le a_i \\le 10^9$)\u00a0\u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" if it is possible to make all elements zero, otherwise print \"NO\".", "responses": { "import sys\ninput = sys.stdin.readline\nsys.setrecursionlimit(100000)\ndef getN():\n return int(input())\ndef getList():\n return list(map(int, input().split()))\nimport math\nfrom bisect import bisect_left\nn = getN()\nnums = getList()\nif sum(nums) % 2 == 1:\n print(\"NO\")\n return\nif max(nums) * 2 > sum(nums):\n print(\"NO\")\n return\nprint(\"YES\")": 1.0, "import sys\ninput = sys.stdin.readline\nsys.setrecursionlimit(100000)\ndef getN():\n return int(input())\ndef getList():\n return list(map(int, input().split()))\nimport math\nfrom bisect import bisect_right\nn = getN()\nnums = getList()\nif sum(nums) % 2 == 1:\n print(\"NO\")\n return\nif max(nums) * 2 > sum(nums):\n print(\"NO\")\n return\nprint(\"YES\")": 0.0, "import sys\ninput = sys.stdin.readline\nsys.setrecursionlimit(100000)\ndef getN():\n return int(input())\ndef getList():\n return list(map(int, input().split()))\nimport math\nfrom bisect import bisect_left\nn = getN()\nnums = getList()\nif sum(nums) % 2 == 0:\n print(\"NO\")\n return\nif max(nums) * 2 > sum(nums):\n print(\"NO\")\n return\nprint(\"YES\")": 0.0, "import sys\ninput = sys.stdin.readline\nsys.setrecursionlimit(100000)\ndef getN():\n return int(input())\ndef getList():\n return list(map(int, input().split()))\nimport math\nfrom bisect import bisect_left\nn = getN()\nnums = getList()\nif sum(nums) % 2 == 1:\n print(\"NO\")\n return\nif max(nums) > sum(nums):\n print(\"NO\")\n return\nprint(\"YES\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array $a_1, a_2, \\ldots, a_n$.\n\n\n\nIn one operation you can choose two elements $a_i$ and $a_j$ ($i \\ne j$) and decrease each of them by one.\n\n\n\nYou need to check whether it is possible to make all the elements equal to zero or not.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($2 \\le n \\le 10^5$)\u00a0\u2014 the size of the array.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1 \\le a_i \\le 10^9$)\u00a0\u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" if it is possible to make all elements zero, otherwise print \"NO\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two positive integers\u00a0n\u00a0and k,\u00a0the binary string\u00a0\u00a0Sn\u00a0is formed as follows:\n\n\n\nS1\u00a0= \"0\"\n\nSi\u00a0=\u00a0Si-1\u00a0+ \"1\" + reverse(invert(Si-1))\u00a0for\u00a0i > 1\n\n\n\nWhere\u00a0+\u00a0denotes the concatenation operation,\u00a0reverse(x)\u00a0returns the reversed string x,\u00a0and\u00a0invert(x)\u00a0inverts all the bits in x (0 changes to 1 and 1 changes to 0).\n\nFor example, the first 4 strings in the above sequence are:\n\n\n\nS1\u00a0= \"0\"\n\nS2\u00a0= \"011\"\n\nS3\u00a0= \"0111001\"\n\nS4 = \"011100110110001\"\n\n\n\nReturn the kth bit in\u00a0Sn. It is guaranteed that\u00a0k\u00a0is valid for the given\u00a0n.", "responses": { "class Solution:\n def findKthBit(self, n: int, k: int) -> str:\n i = n - 1\n invert = False\n while i > 0:\n half_len = (2**(i + 1) - 1) // 2 \n if k == half_len + 1:\n return '1' if not invert else '0'\n \n if k > half_len:\n k = half_len - (k - half_len - 1) + 1\n invert = not invert\n i -= 1\n \n return '1' if invert else '0'": 1.0, "class Solution:\n def findKthBit(self, n: int, k: int) -> str:\n i = n - 1\n invert = False\n while i > 0:\n half_len = (2**(i + 1) - 1) // 2 \n if k == half_len + 1:\n return '1' if not invert else '0'\n \n # Bug: Incorrect operator\n if k < half_len:\n k = half_len - (k - half_len - 1) + 1\n invert = not invert\n i -= 1\n \n return '1' if invert else '0'": 0.0, "class Solution:\n def findKthBit(self, n: int, k: int) -> str:\n i = n - 1\n invert = False\n while i >= 0: # Bug: Incorrect comparison operator\n half_len = (2**(i + 1) - 1) // 2 \n if k == half_len + 1:\n return '1' if not invert else '0'\n \n if k > half_len:\n k = half_len - (k - half_len - 1) + 1\n invert = not invert\n i -= 1\n \n return '1' if invert else '0'": 0.0, "class Solution:\n def findKthBit(self, n: int, k: int) -> str:\n i = n - 1\n invert = False\n while i > 0:\n half_len = (2**(i + 1) - 1) // 2 \n if k == half_len + 1:\n return '1' if invert else '0' # Bug: Incorrect condition\n \n if k > half_len:\n k = half_len - (k - half_len - 1) + 1\n invert = not invert\n i -= 1\n \n return '1' if invert else '0'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two positive integers\u00a0n\u00a0and k,\u00a0the binary string\u00a0\u00a0Sn\u00a0is formed as follows:\n\n\n\nS1\u00a0= \"0\"\n\nSi\u00a0=\u00a0Si-1\u00a0+ \"1\" + reverse(invert(Si-1))\u00a0for\u00a0i > 1\n\n\n\nWhere\u00a0+\u00a0denotes the concatenation operation,\u00a0reverse(x)\u00a0returns the reversed string x,\u00a0and\u00a0invert(x)\u00a0inverts all the bits in x (0 changes to 1 and 1 changes to 0).\n\nFor example, the first 4 strings in the above sequence are:\n\n\n\nS1\u00a0= \"0\"\n\nS2\u00a0= \"011\"\n\nS3\u00a0= \"0111001\"\n\nS4 = \"011100110110001\"\n\n\n\nReturn the kth bit in\u00a0Sn. It is guaranteed that\u00a0k\u00a0is valid for the given\u00a0n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (1 \u2264 n \u2264 2000) \u2014 the number of points.\n\n\n\nEach of the next n lines contains two integers (x_{i}, y_{i}) (0 \u2264 x_{i}, y_{i} \u2264 10^9) \u2014 the coordinates of the i-th point.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer c \u2014 the number of parallelograms with the vertices at the given points.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n0 1\n\n1 0\n\n1 1\n\n2 0\n\n\n\nOutput\n\n1", "responses": { "n = int(input())\npoints = [0] * n\nD = {}\nfor i in range(n):\n points[i] = tuple(int(x) for x in input().split())\nfor i in range(n):\n for j in range(i+1, n):\n x1, y1 = points[i]\n x2, y2 = points[j]\n u, v = x2 - x1, y2 - y1\n if u < 0 or u == 0 and v < 0:\n u, v = -u, -v\n if (u, v) in D:\n D[(u, v)] += 1\n else:\n D[(u, v)] = 1\nS = sum(D[i] * (D[i] - 1) // 2 for i in D)\nprint(S // 2)\n ": 1.0, "n = int(input())\npoints = [0] * n\nD = {}\nfor i in range(n):\n points[i] = tuple(int(x) for x in input().split())\nfor i in range(n):\n for j in range(i+1, n):\n x1, y1 = points[i]\n x2, y2 = points[j]\n u, v = x2 - x1, y2 - y1\n if u < 0 or u == 0 and v < 0:\n u, v = -u, -v\n if (u, v) in D:\n D[(u, v)] += 1\n else:\n D[(u, v)] = 1\nS = sum(D[i] * (D[j] - 1) // 2 for i in D) # Note the incorrect index here (D[j] instead of D[i])\nprint(S // 2)": 0.0, "n = int(input())\npoints = [0] * n\nD = {}\nfor i in range(n):\n points[i] = tuple(int(x) for x in input().split())\nfor i in range(n):\n for j in range(i+1, n):\n x1, y1 = points[i]\n x2, y2 = points[j]\n u, v = x2 - x1, y2 - y1\n if u < 0 and u == 0 and v < 0: # Incorrect logical operator here (should be 'or' instead of 'and')\n u, v = -u, -v\n if (u, v) in D:\n D[(u, v)] += 1\n else:\n D[(u, v)] = 1\nS = sum(D[i] * (D[i] - 1) // 2 for i in D)\nprint(S // 2)": 0.0, "n = int(input())\npoints = [0] * n\nD = {}\nfor i in range(1, n): # Incorrect range here (should start from 0 instead of starting from 1)\n points[i] = tuple(int(x) for x in input().split())\nfor i in range(n):\n for j in range(i+1, n):\n x1, y1 = points[i]\n x2, y2 = points[j]\n u, v = x2 - x1, y2 - y1\n if u < 0 or u == 0 and v < 0:\n u, v = -u, -v\n if (u, v) in D:\n D[(u, v)] += 1\n else:\n D[(u, v)] = 1\nS = sum(D[i] * (D[i] - 1) // 2 for i in D)\nprint(S // 2)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains integer n (1 \u2264 n \u2264 2000) \u2014 the number of points.\n\n\n\nEach of the next n lines contains two integers (x_{i}, y_{i}) (0 \u2264 x_{i}, y_{i} \u2264 10^9) \u2014 the coordinates of the i-th point.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer c \u2014 the number of parallelograms with the vertices at the given points.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n0 1\n\n1 0\n\n1 1\n\n2 0\n\n\n\nOutput\n\n1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N children standing in a line. Each child is assigned a rating value.\n\n\n\nYou are giving candies to these children subjected to the following requirements:\n\n\n\n\n\n Each child must have at least one candy.\n\n Children with a higher rating get more candies than their neighbors.\n\n\n\n\n\nWhat is the minimum candies you must give?", "responses": { "class Solution:\n def candy(self, ratings):\n \"\"\"\n :type ratings: List[int]\n :rtype: int\n \"\"\"\n \n if not ratings:\n return 0\n \n total, pre, decrease = 1, 1, 0\n for i in range(1, len(ratings)):\n if ratings[i] >= ratings[i-1]:\n if decrease > 0:\n total += (1+decrease)*decrease // 2\n if pre <= decrease:\n total += decrease+1-pre\n decrease, pre = 0, 1\n if ratings[i] == ratings[i-1]:\n total += 1\n pre = 1\n else:\n pre += 1\n total += pre\n else:\n decrease += 1\n \n if decrease > 0:\n total += (1 + decrease) * decrease // 2\n if pre <= decrease:\n total += decrease + 1 - pre\n return total": 1.0, "class Solution:\n def candy(self, ratings):\n \"\"\"\n :type ratings: List[int]\n :rtype: int\n \"\"\"\n \n if not ratings:\n return 0\n \n total, pre, decrease = 1, 1, 0\n for i in range(1 len(ratings)):\n if ratings[i] >= ratings[i-1]:\n if decrease > 0:\n total += (1+decrease)*decrease // 2\n if pre <= decrease:\n total += decrease+1-pre\n decrease, pre = 0, 1\n if ratings[i] == ratings[i-1]:\n total += 1\n pre = 1\n else:\n pre += 1\n total += pre\n else:\n decrease += 1\n \n if decrease > 0:\n total += (1 + decrease) * decrease // 2\n if pre <= decrease:\n total += decrease + 1 - pre\n return total": 0.0, "class Solution:\n def candy(self, ratings):\n \"\"\"\n :type ratings: List[int]\n :rtype: int\n \"\"\"\n \n if not ratings:\n return 0\n \n total, pre, decrease = 1, 1, 0\n for i in range(1, len(ratings)):\n if ratings[i] >= ratings[i-1]:\n if decrease > 0:\n total += (1+decrease)*decrease // 2\n if pre <= decrease:\n total += decrease+1-pre\n decrease, pre = 0, 1\n if ratings[i] == ratings[i-1]:\n total += 1\n pre = 1\n else:\n pre += 1\n total += pre\n else:\n decrese += 1\n \n if decrease > 0:\n total += (1 + decrease) * decrease // 2\n if pre <= decrease:\n total += decrease + 1 - pre\n return total": 0.0, "class Solution:\n def candy(self, ratings):\n \"\"\"\n :type ratings: List[int]\n :rtype: int\n \"\"\"\n \n if not ratings:\n return 0\n \n total, pre, decrease = 1, 1, 0\n for i in range(1, len(ratings)):\n if ratings[i] >= ratings[i-1]:\n if decrease > 0:\n total += (1+decrease)*decrease // 2\n if pre <= decrease:\n total += decrease+1-pre\n decrease, pre = 0, 1\n if ratings[i] == ratings[i-1]:\n total += 1\n pre = 1\n else:\n pre += 1\n total += pre\n els:\n decrease += 1\n \n if decrease > 0:\n total += (1 + decrease) * decrease // 2\n if pre <= decrease:\n total += decrease + 1 - pre\n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N children standing in a line. Each child is assigned a rating value.\n\n\n\nYou are giving candies to these children subjected to the following requirements:\n\n\n\n\n\n Each child must have at least one candy.\n\n Children with a higher rating get more candies than their neighbors.\n\n\n\n\n\nWhat is the minimum candies you must give?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two\u00a0strings\u00a0S\u00a0and T,\u00a0return if they are equal when both are typed into empty text editors. # means a backspace character.\n\nNote that after\u00a0backspacing an empty text, the text will continue empty.", "responses": { "class Solution:\n def backspaceCompare(self, S1, S2):\n i1 = len(S1) - 1 \n i2 = len(S2) - 1\n \n while i1 >= 0 or i2 >= 0:\n c1 = ''\n c2 = ''\n if i1 >= 0:\n c1, i1 = self.getChar(S1, i1)\n if i2 >= 0:\n c2, i2 = self.getChar(S2, i2)\n if c1 != c2:\n return False\n return True\n \n \n def getChar(self, s, i):\n char = ''\n count = 0\n while i >= 0 and not char:\n if s[i] == '#':\n count += 1\n elif count == 0:\n char = s[i]\n else:\n count -= 1\n i -= 1\n return char, i": 1.0, "class Solution:\n def backspaceCompare(self, S1, S2):\n i1 = len(S1) - 1 \n i2 = len(S2) - 1\n \n while i1 >= 0 or i2 >= 0:\n c1 = ''\n c2 = ''\n if i1 >= 0:\n c1, i1 = self.getChar(S2, i1) # Bug: Passing S2 instead of S1\n if i2 >= 0:\n c2, i2 = self.getChar(S2, i2) # Bug: Passing S2 instead of S1\n if c1 != c2:\n return False\n return True\n \n \n def getChar(self, s, i):\n char = ''\n count = 0\n while i >= 0 and not char:\n if s[i] == '#':\n count += 1\n elif count == 0:\n char = s[i]\n else:\n count -= 1\n i -= 1\n return char, i": 0.0, "class Solution:\n def backspaceCompare(self, S1, S2):\n i1 = len(S1) - 1 \n i2 = len(S2) - 1\n \n while i1 >= 0 or i2 >= 0:\n c1 = ''\n c2 = ''\n if i1 > 0: # Bug: Incorrect comparison operator\n c1, i1 = self.getChar(S1, i1)\n if i2 >= 0:\n c2, i2 = self.getChar(S2, i2)\n if c1 != c2:\n return False\n return True\n \n \n def getChar(self, s, i):\n char = ''\n count = 0\n while i >= 0 and not char:\n if s[i] == '#':\n count += 1\n elif count == 0:\n char = s[i]\n else:\n count -= 1\n i -= 1\n return char, i": 0.0, "class Solution:\n def backspaceCompare(self, S1, S2):\n i1 = len(S1) - 1 \n i2 = len(S2) - 1\n \n while i1 >= 0 or i2 >= 0:\n c1 = ''\n c2 = ''\n if i1 >= 0:\n c1, i1 = self.getChar(S1, i1)\n if i2 >= 0:\n c2, i2 = self.getChar(S2, i2)\n if c1 != c2:\n return False\n return # Bug: Missing return statement for True\n\n\n def getChar(self, s, i):\n char = ''\n count = 0\n while i >= 0 and not char:\n if s[i] == '#':\n count += 1\n elif count == 0:\n char = s[i]\n else:\n count -= 1\n i -= 1\n return char, i": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two\u00a0strings\u00a0S\u00a0and T,\u00a0return if they are equal when both are typed into empty text editors. # means a backspace character.\n\nNote that after\u00a0backspacing an empty text, the text will continue empty.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given integers N and K. Find the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.\n\nThe order of a,b,c does matter, and some of them can be the same.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N,K \\leq 2\\times 10^5\n\n - N and K are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN K\n\n\n\n-----Output-----\n\nPrint the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.\n\n\n\n-----Sample Input-----\n\n3 2\n\n\n\n-----Sample Output-----\n\n9\n\n\n\n(1,1,1),(1,1,3),(1,3,1),(1,3,3),(2,2,2),(3,1,1),(3,1,3),(3,3,1) and (3,3,3) satisfy the condition.", "responses": { "n,k = map(int,input().split())\ncnt1,cnt2 = 0,0\nif k%2 == 1:\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3)\nelse:\n for i in range(1,n+1):\n if i%k == k//2:\n cnt2 += 1\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3+cnt2**3)": 1.0, "```python\nn,k = map(int,input().split())\ncnt1,cnt2 = 0,0\nif k%2 == 1\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3)\nelse:\n for i in range(1,n+1):\n if i%k == k//2:\n cnt2 += 1\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3+cnt2**3)\n```": 0.0, "```python\nn,k = map(int,input().split())\ncnt1,cnt2 = 0,0\nif k%2 = 1:\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3)\nelse:\n for i in range(1,n+1):\n if i%k == k//2:\n cnt2 += 1\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3+cnt2**3)\n```": 0.0, "```python\nn,k = map(int,input().split())\ncnt1,cnt2 = 0,0\nif k% == 1:\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3)\nelse:\n for i in range(1,n+1):\n if i%k == k//2:\n cnt2 += 1\n for i in range(1,n+1):\n if i%k == 0:\n cnt1 +=1\n print(cnt1**3+cnt2**3)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given integers N and K. Find the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.\n\nThe order of a,b,c does matter, and some of them can be the same.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N,K \\leq 2\\times 10^5\n\n - N and K are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN K\n\n\n\n-----Output-----\n\nPrint the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K.\n\n\n\n-----Sample Input-----\n\n3 2\n\n\n\n-----Sample Output-----\n\n9\n\n\n\n(1,1,1),(1,1,3),(1,3,1),(1,3,3),(2,2,2),(3,1,1),(3,1,3),(3,3,1) and (3,3,3) satisfy the condition.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an integer N.\n\nFind the number of the positive divisors of N!, modulo 10^9+7.\n\n\n\n-----Constraints-----\n\n - 1\u2264N\u226410^3\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of the positive divisors of N!, modulo 10^9+7.\n\n\n\n-----Sample Input-----\n\n3\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nThere are four divisors of 3! =6: 1, 2, 3 and 6. Thus, the output should be 4.", "responses": { "N = int(input())\nmod = 1000000007\nfrom collections import Counter\nY = Counter()\nfor i in range(2, N+1):\n M = i\n for j in range(2,i+1):\n while M % j == 0:\n Y[j] += 1\n M //= j\ndef product(X):\n res = 1\n for x in X:\n res *= x + 1\n res %= mod\n return res \nans = product(Y.values())\nprint(ans)": 1.0, "N = int(input())\nmod = 1000000007\nfrom collections import Counter\nY = Counter()\nfor i in range(2, N+1):\n M = i\n for j in range(2,i+1):\n while M % j == 0:\n Y[j] -= 1\n M //= j\ndef product(X):\n res = 1\n for x in X:\n res *= x + 1\n res %= mod\n return res \nans = product(Y.values())\nprint(ans)": 0.0, "N = int(input())\nmod = 1000000007\nfrom collections import Counter\nY = Counter()\nfor i in range(2, N+1):\n M = i\n for j in range(2,i+1):\n while M % j == 0:\n Y[j] += 1\n M //= j\ndef product(X):\n res = 1\n for x in X:\n res -= x + 1\n res %= mod\n return res \nans = product(Y.values())\nprint(ans)": 0.0, "N = int(input())\nmod = 1000000007\nfrom collections import Counter\nY = Counter()\nfor i in range(2, N+1):\n M = i\n for j in range(2,i+1):\n while M % j == 0:\n Y[j] += 1\n M //= j\ndef product(X):\n res = 1\n for x in X:\n res *= x - 1\n res %= mod\n return res \nans = product(Y.values())\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an integer N.\n\nFind the number of the positive divisors of N!, modulo 10^9+7.\n\n\n\n-----Constraints-----\n\n - 1\u2264N\u226410^3\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of the positive divisors of N!, modulo 10^9+7.\n\n\n\n-----Sample Input-----\n\n3\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nThere are four divisors of 3! =6: 1, 2, 3 and 6. Thus, the output should be 4.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The year 2015 is almost over.\n\n\n\nLimak is a little polar bear. He has recently learnt about the binary system. He noticed that the passing year has exactly one zero in its representation in the binary system\u00a0\u2014 2015_10 = 11111011111_2. Note that he doesn't care about the number of zeros in the decimal representation.\n\n\n\nLimak chose some interval of years. He is going to count all years from this interval that have exactly one zero in the binary representation. Can you do it faster?\n\n\n\nAssume that all positive integers are always written without leading zeros.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains two integers a and b (1 \u2264 a \u2264 b \u2264 10^18)\u00a0\u2014 the first year and the last year in Limak's interval respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2013 the number of years Limak will count in his chosen interval.", "responses": { "def zero(strx):\n k = []\n str2 = list(strx)\n for i in range(1, len(str2)):\n str3 = str2[:]\n str3[i] = '0'\n k.append(''.join(str3))\n return k\na = []\nfor i in range(1, 64):\n a += zero('1'*i)\nct = 0\nx, y = list(map(int, input().split(' ')))\nfor i in a:\n if x <= int(i, 2) <= y:\n ct+=1\nprint(ct)": 1.0, "def zero(strx):\n k = []\n str2 = list(strx)\n for i in range(1, len(str2)):\n str3 = str2[:]\n str3[i] = '0'\n k.append(''.join(str3))\n k.append(''.join(str3+'1')) # introducing a bug here by adding '1' to str3\n return k\na = []\nfor i in range(1, 65): # adding 1 to the range to generate more incorrect answers\n a += zero('1'*i)\nct = 0\nx, y = list(map(int, input().split())) # removing ' ' in the split function\nfor i in a:\n if x <= int(i, 2) <= y:\n ct+=1\nprint(ct)": 0.0, "def zero(strx):\n k = []\n str2 = list(strx)\n for i in range(1, len(str2)):\n str3 = str2[:]\n str3[i] = '0'\n k.append(''.join(str3))\n return k\na = []\nfor i in range(1, 64):\n a += zero('1'*i)\nct = 0\nx, y = list(map(int, input().split()))\nfor i in a:\n if x <= int(i, 2) <= y:\n break # introducing a bug here by changing 'continue' to 'break'\n ct+=1\nprint(ct)": 0.0, "def zero(strx):\n k = []\n str2 = list(strx)\n for i in range(1, len(str2)):\n str3 = str2[:]\n str3[i] = '0'\n k.append(''.join(str3))\n return k\na = []\nfor i in range(1, 64):\n a += zero('1'*i)\nct = 0\nx, y = list(map(int, input().split()))\nfor i in a:\n if x <= int(i, 2) <= y:\n ct += 1\nprint(ct + 1) # introducing a bug here by adding 1 to the final count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe year 2015 is almost over.\n\n\n\nLimak is a little polar bear. He has recently learnt about the binary system. He noticed that the passing year has exactly one zero in its representation in the binary system\u00a0\u2014 2015_10 = 11111011111_2. Note that he doesn't care about the number of zeros in the decimal representation.\n\n\n\nLimak chose some interval of years. He is going to count all years from this interval that have exactly one zero in the binary representation. Can you do it faster?\n\n\n\nAssume that all positive integers are always written without leading zeros.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains two integers a and b (1 \u2264 a \u2264 b \u2264 10^18)\u00a0\u2014 the first year and the last year in Limak's interval respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2013 the number of years Limak will count in his chosen interval.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the running logs of n functions that are executed in a nonpreemptive single threaded CPU, find the exclusive time of these functions. \n\n\n\nEach function has a unique id, start from 0 to n-1. A function may be called recursively or by another function.\n\n\n\nA log is a string has this format : function_id:start_or_end:timestamp. For example, \"0:start:0\" means function 0 starts from the very beginning of time 0. \"0:end:0\" means function 0 ends to the very end of time 0. \n\n\n\nExclusive time of a function is defined as the time spent within this function, the time spent by calling other functions should not be considered as this function's exclusive time. You should return the exclusive time of each function sorted by their function id.", "responses": { "class Solution:\n def exclusiveTime(self, n, logs):\n \"\"\"\n :type n: int\n :type logs: List[str]\n :rtype: List[int]\n \"\"\"\n fn_stk = []\n excl_time = [0] * n\n prev = 0\n if n < 1 or not logs:\n return fn_stk\n fn, action, ts = logs[0].split(':')\n fn_stk.append(int(fn))\n for log in logs[1:]:\n fn, action, ts = log.split(':')\n fn, ts = int(fn), int(ts)\n if action == 'start':\n if fn_stk: excl_time[fn_stk[len(fn_stk)-1]] += ts - prev\n prev = ts\n fn_stk.append(fn)\n else:\n fid = fn_stk.pop()\n excl_time[fid] += (ts - prev + 1)\n prev = ts + 1\n return excl_time\n \n \n \n ": 1.0, "class Solution:\n def exclusiveTime(self, n, logs):\n \"\"\"\n :type n: int\n :type logs: List[str]\n :rtype: List[int]\n \"\"\"\n fn_stk = []\n excl_time = [0] * n\n prev = 0\n if n < 1 or not logs:\n return fn_stk\n fn_stk.append(int(fn))\n for log in logs[1:]:\n fn, action, ts = log.split(':')\n fn, ts = int(fn), int(ts)\n if action == 'start':\n if fn_stk: excl_time[fn_stk[len(fn_stk)-1]] += ts - prev\n prev = ts\n fn_stk.append(fn)\n else:\n fid = fn_stk.pop()\n excl_time[fid] += (ts - prev + 1)\n prev = ts + 1\n return excl_time": 0.0, "class Solution:\n def exclusiveTime(self, n, logs):\n \"\"\"\n :type n: int\n :type logs: List[str]\n :rtype: List[int]\n \"\"\"\n fn_stk = []\n excl_time = [0] * n\n prev = 0\n if n < 1 or not logs:\n return fn_stk\n fn, action, ts = logs[0].split(':')\n fn_stk.append(int(fn))\n for log in logs[1:]:\n fn, action, ts = log.split(':')\n fn, prev = int(fn), int(ts)\n if action == 'start':\n if fn_stk: excl_time[fn_stk[len(fn_stk)-1]] += ts - prev\n prev = ts\n fn_stk.append(prev)\n else:\n fid = fn_stk.pop()\n excl_time[fid] += (ts - prev + 1)\n prev = ts + 1\n return excl_time": 0.0, "class Solution:\n def exclusiveTime(self, n, logs):\n \"\"\"\n :type n: int\n :type logs: List[str]\n :rtype: List[int]\n \"\"\"\n fn_stk = []\n excl_time = [0] * n\n prev = 0\n if n < 1 or not logs:\n return fn_stk\n fn, action, ts = logs[0].split(':')\n fn_stk.append(int(fn))\n for log in logs[1:]:\n fn, action, ts = log.split(':')\n fn, ts = int(fn), int(ts)\n if action == 'start':\n if fn_stk: excl_time[fn_stk[len(fn_stk)-1]] -= ts - prev\n prev = ts\n fn_stk.append(fn)\n else:\n fid = fn_stk.pop()\n excl_time[fid] += (ts - prev + 1)\n prev = ts + 1\n return excl_time": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the running logs of n functions that are executed in a nonpreemptive single threaded CPU, find the exclusive time of these functions. \n\n\n\nEach function has a unique id, start from 0 to n-1. A function may be called recursively or by another function.\n\n\n\nA log is a string has this format : function_id:start_or_end:timestamp. For example, \"0:start:0\" means function 0 starts from the very beginning of time 0. \"0:end:0\" means function 0 ends to the very end of time 0. \n\n\n\nExclusive time of a function is defined as the time spent within this function, the time spent by calling other functions should not be considered as this function's exclusive time. You should return the exclusive time of each function sorted by their function id.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given matrix with n rows and n columns filled with zeroes. You should put k ones in it in such a way that the resulting matrix is symmetrical with respect to the main diagonal (the diagonal that goes from the top left to the bottom right corner) and is lexicographically maximal.\n\n\n\nOne matrix is lexicographically greater than the other if the first different number in the first different row from the top in the first matrix is greater than the corresponding number in the second one.\n\n\n\nIf there exists no such matrix then output -1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line consists of two numbers n and k (1 \u2264 n \u2264 100, 0 \u2264 k \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIf the answer exists then output resulting matrix. Otherwise output -1.", "responses": { "def main():\n import sys\n readln = sys.stdin.readline\n try:\n while True:\n n, k = list(map(int, input().split()))\n a = [['0'] * n for i in range(n)]\n i = j = 0\n while k > 0:\n if i == j:\n a[i][j] = '1'\n k -= 1\n j += 1\n elif k >= 2:\n a[i][j] = a[j][i] = '1'\n k -= 2\n j += 1\n elif i != n - 1:\n a[i + 1][i + 1] = '1'\n k = 0\n else:\n assert a[i][i] == '1'\n a[i][i] = '0'\n a[i][j] = a[j][i] = '1'\n k = 0\n if j == n:\n i += 1\n if i == n and k > 0:\n print(-1)\n break\n j = i\n else:\n for row in a:\n print(' '.join(row))\n except EOFError:\n pass\nmain()": 1.0, "def main():\n import sys\n readln = sys.stdin.readline\n try:\n while True:\n n, k = list(map(int, input().split()))\n a = [['0'] * n for i in range(n)]\n i = j = 0\n while k > 0:\n if i == j:\n a[i][j] = 1\n k -= 1\n j += 1\n elif k >= 2:\n a[i][j] = a[j][i] = '1'\n k -= 2\n j += 1\n elif i != n - 1:\n a[i + 1][i + 1] = '1'\n k = 0\n else:\n assert a[i][i] == '1'\n a[i][i] = '0'\n a[i][j] = a[j][i] = '1'\n k = 0\n if j == n:\n i += 1\n if i == n and k > 0:\n print(-1)\n break\n j = i\n else:\n for row in a:\n print(' '.join(row))\nexcept EOFError:\n pass\nmain()": 0.0, "def main():\n import sys\n readline = sys.stdin.readline\n try:\n while True:\n n, k = list(map(int, readline().split()))\n a = [['0'] * n for i in range(n)]\n i = j = 0\n while k > 0:\n if i == j:\n a[i][j] = '1'\n k -= 1\n j += 1\n elif k >= 2:\n a[i][j] = a[j][i] = '1'\n k -= 2\n j += 1\n elif i != n - 1:\n a[i + 1][i + 1] = '1'\n k = 0\n else:\n assert a[i][i] == '1'\n a[i][i] = '0'\n a[i][j] = a[j][i] = '1'\n k = 0\n if j == n:\n i += 1\n if i == n and k > 0:\n print(-1)\n break\n j = i\n else:\n for row in a:\n print(' '.join(row))\nexcept EOFError:\n pass\nmain()": 0.0, "def main():\n import sys\n readln = sys.stdin.readline\n try:\n while True:\n n, k = list(map(int, input().split()))\n a = [['0'] * n for i in range(n)]\n i = j = 0\n while k > 0:\n if i == j:\n a[i][j] = '1'\n k -= 1\n j += 1\n elif k >= 2:\n a[i][j] = a[j][i] = 1\n k -= 2\n j += 1\n elif i != n - 1:\n a[i + 1][i + 1] = '1'\n k = 0\n else:\n assert a[i][i] == '1'\n a[i][i] = '0'\n a[i][j] = a[j][i] = '1'\n k = 0\n if j == n:\n i += 1\n if i == n and k > 0:\n print(-1)\n break\n j = i\n else:\n for row in a:\n print(' '.join(row))\nexcept EOFError:\n pass\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given matrix with n rows and n columns filled with zeroes. You should put k ones in it in such a way that the resulting matrix is symmetrical with respect to the main diagonal (the diagonal that goes from the top left to the bottom right corner) and is lexicographically maximal.\n\n\n\nOne matrix is lexicographically greater than the other if the first different number in the first different row from the top in the first matrix is greater than the corresponding number in the second one.\n\n\n\nIf there exists no such matrix then output -1.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line consists of two numbers n and k (1 \u2264 n \u2264 100, 0 \u2264 k \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIf the answer exists then output resulting matrix. Otherwise output -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "For a permutation P[1... N] of integers from 1 to N, function f is defined as follows:\n\n\n\n $f(i, j) = \\left\\{\\begin{array}{ll}{P [ i ]} & {\\text{if} j = 1} \\\\{f(P [ i ], j - 1)} & {\\text{otherwise}} \\end{array} \\right.$ \n\n\n\nLet g(i) be the minimum positive integer j such that f(i, j) = i. We can show such j always exists.\n\n\n\nFor given N, A, B, find a permutation P of integers from 1 to N such that for 1 \u2264 i \u2264 N, g(i) equals either A or B.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains three integers N, A, B (1 \u2264 N \u2264 10^6, 1 \u2264 A, B \u2264 N).\n\n\n\n\n\n-----Output-----\n\n\n\nIf no such permutation exists, output -1. Otherwise, output a permutation of integers from 1 to N.", "responses": { "n, a, b = (int(x) for x in input().split())\nl = -1\nfor k in range(n // a + 1):\n if (n - k * a) % b == 0:\n l = (n - k * a) // b\n break\nif l == -1:\n print(-1)\n quit()\nperm = []\ncurr_last_op = 1\nfor i in range(k):\n curr_cycle = [curr_last_op + j for j in range(a)]\n curr_last_op = curr_last_op + a\n perm += curr_cycle[1:] + curr_cycle[:1]\nfor i in range(l):\n curr_cycle = [curr_last_op + j for j in range(b)]\n curr_last_op = curr_last_op + b\n perm += curr_cycle[1:] + curr_cycle[:1]\nprint(*perm)": 1.0, "n, a, b = (int(x) for x in input().split())\nl = -1\nfor k in range(n // a + 1):\n if (n - k * a) % b == 0:\n l = (n - k * a) // b\n break\nif l == -1:\n print(-1)\n qui()\nperm = []\ncurr_last_op = 1\nfor i in range(k):\n curr_cycle = [curr_last_op + j for j in range(a)]\n curr_last_op = curr_last_op + a\n perm += curr_cycle[1:] + curr_cycle[:1]\nfor i in range(l):\n curr_cycle = [curr_last_op + j for j in range(b)]\n curr_last_op = curr_last_op + b\n perm += curr_cycle[1:] + curr_cycle[:1]\nprint(*perm)": 0.0, "n, a, b = (int(x) for x in input().split())\nl = -1\nfor k in range(n // a + 1):\n if (n - k * a) % b == 0:\n l = (n - k * a) // b\n break\nif l == -1:\n print(-1)\nperm = []\ncurr_last_op = 1\nfor i in range(k):\n curr_cycle = [curr_last_op + j for j in range(a)]\n curr_last_op = curr_last_op + a\n perm += curr_cycle[1:] + curr_cycle[:1]\nfor i in range(l):\n curr_cycle = [curr_last_op + j for j in range(b)]\n curr_last_op = curr_last_op + b\n perm += curr_cycle[1:] + curr_cycle[:1]\nprint(*perm)": 0.0, "n, a, b = (int(x) for x in input().split())\nl = -1\nfor k in range(n // a + 1):\n if (n - k * a) % b == 0:\n l = (n - k * a) // b\n break\nif l == -1:\n print(-1)\n quit()\nperm = []\ncurr_last_op = 1\nfor i in range(k):\n curr_cycle = [curr_last_op + j for j in range(a)]\n curr_last_op = curr_last_op + a\n perm += curr_cycle[1:] + curr_cycle[:1]\nfor i in range(l):\n curr_cycle = [curr_last_op + j for j in range(b)]\n curr_last_op = curr_last_op + b\n print(*perm)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFor a permutation P[1... N] of integers from 1 to N, function f is defined as follows:\n\n\n\n $f(i, j) = \\left\\{\\begin{array}{ll}{P [ i ]} & {\\text{if} j = 1} \\\\{f(P [ i ], j - 1)} & {\\text{otherwise}} \\end{array} \\right.$ \n\n\n\nLet g(i) be the minimum positive integer j such that f(i, j) = i. We can show such j always exists.\n\n\n\nFor given N, A, B, find a permutation P of integers from 1 to N such that for 1 \u2264 i \u2264 N, g(i) equals either A or B.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains three integers N, A, B (1 \u2264 N \u2264 10^6, 1 \u2264 A, B \u2264 N).\n\n\n\n\n\n-----Output-----\n\n\n\nIf no such permutation exists, output -1. Otherwise, output a permutation of integers from 1 to N.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Return the number of distinct non-empty substrings of text\u00a0that can be written as the concatenation of some string with itself (i.e. it can be written as a + a\u00a0where a is some string).", "responses": { " \n \nfrom collections import defaultdict, deque\nclass Solution:\n def distinctEchoSubstrings(self, text: str) -> int:\n if all(x==text[0] for x in text):\n # handle worst case seperately\n return len(text)//2\n \n res = set()\n character_locations = defaultdict(lambda:deque())\n for i, c in enumerate(text):\n for j in character_locations[c]:\n if i + (i - j) > len(text): break\n \n # Use startswith to improve result slightly \n if text.startswith(text[i:i+i-j], j):\n res.add(text[j:i+i-j])\n \n character_locations[c].appendleft(i)\n \n return len(res)": 1.0, "```python \nfrom collections import defaultdict, deque\nclass Solution:\n def distinctEchoSubstrings(self, text: str) -> int:\n if all(x == text[0] for x in text):\n return len(text)//2\n \n res = set()\n character_locations = defaultdict(lambda:deque())\n for i, c in enumerate(text):\n for j in character_locations[c]:\n if i + (i - j) > len(text): break\n \n if text.startswith(text[i:i+i-j], j):\n res.add(text[j:i+i-j])\n \n character_locations[c].appendleft(i)\n \n return len(res)\n```": 0.0, "```python \nfrom collections import defaultdict, deque\nclass Solution:\n def distinctEchoSubstrings(self, text: str) -> int:\n if all(x == text[0] for x in text):\n return len(text)//2\n \n res = set()\n character_locations = defaultdict(lambda:deque())\n for i, c in enumerate(text):\n for j in character_locations[c]:\n if i + (i - j) > len(text): break\n \n if text.startswith(text[i:i+i-j], j):\n res.add(text[j:i+i-j])\n \n character_locations[c].appendleft(i)\n \n # Wrong indentation\n return len(res)\n```": 0.0, "```python \nfrom collections import defaultdict, deque\nclass Solution:\n def distinctEchoSubstrings(self, text: str) -> int:\n if all(x == text[0] for x in text):\n return len(text)//2\n \n res = set()\n character_locations = defaultdict(lambda:deque())\n for i, c in enumerate(text):\n for j in character_locations[c]:\n if i + (i - j) > len(text): break\n \n # Missing outer loop condition\n \n if text.startswith(text[i:i+i-j], j):\n res.add(text[j:i+i-j])\n \n character_locations[c].appendleft(i)\n \n return len(res)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nReturn the number of distinct non-empty substrings of text\u00a0that can be written as the concatenation of some string with itself (i.e. it can be written as a + a\u00a0where a is some string).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a long decimal number $a$ consisting of $n$ digits from $1$ to $9$. You also have a function $f$ that maps every digit from $1$ to $9$ to some (possibly the same) digit from $1$ to $9$.\n\n\n\nYou can perform the following operation no more than once: choose a non-empty contiguous subsegment of digits in $a$, and replace each digit $x$ from this segment with $f(x)$. For example, if $a = 1337$, $f(1) = 1$, $f(3) = 5$, $f(7) = 3$, and you choose the segment consisting of three rightmost digits, you get $1553$ as the result.\n\n\n\nWhat is the maximum possible number you can obtain applying this operation no more than once?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of digits in $a$.\n\n\n\nThe second line contains a string of $n$ characters, denoting the number $a$. Each character is a decimal digit from $1$ to $9$.\n\n\n\nThe third line contains exactly $9$ integers $f(1)$, $f(2)$, ..., $f(9)$ ($1 \\le f(i) \\le 9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number you can get after applying the operation described in the statement no more than once.", "responses": { "def main():\n n = int(input())\n a = list(map(int, input()))\n f = [0] + list(map(int, input().split()))\n i = 0\n while f[a[i]] <= a[i]:\n i += 1\n if i == n:\n break\n for j in range(i, n):\n if f[a[j]] < a[j]:\n break\n else:\n a[j] = f[a[j]]\n print(\"\".join(str(x) for x in a))\n return 0\nmain()": 1.0, "def main():\n n = int(input())\n a = list(map(int, input()))\n f = [0] + list(map(int, input().split()))\n i = 0\n while f[a[i]] <= a[i]:\n i += 1\n if i == n:\n break\n for j in range(i, n):\n if f[a[j]] < a[j]:\n break\n else:\n a[j] = f[a[j]]\n print(\"\".join(str(x) for x in a))\n return \"0\"\nmain()": 0.0, "def main():\n n = int(input())\n a = list(map(int, input()))\n f = [0] + list(map(int, input().split()))\n i = 0\n while f[a[i]] <= a[i]:\n i += 1\n if i == n:\n break\n for j in range(i, n):\n if f[a[j]] < a[j]:\n return 0\n else:\n a[j] = f[a[j]]\n print(\"\".join(str(x) for x in a))\n return 0\nmain()": 0.0, "def main():\n n = int(input())\n a = list(map(int, input()))\n f = [0] + list(map(int, input().split()))\n i = 0\n while f[a[i]] <= a[i]:\n i += 1\n if i == n:\n break\n for j in range(i, n):\n if f[a[j]] < a[j]:\n break\n else:\n a[j] = f[a[j]]\n print(\"\".join(str(x) for x in a))\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a long decimal number $a$ consisting of $n$ digits from $1$ to $9$. You also have a function $f$ that maps every digit from $1$ to $9$ to some (possibly the same) digit from $1$ to $9$.\n\n\n\nYou can perform the following operation no more than once: choose a non-empty contiguous subsegment of digits in $a$, and replace each digit $x$ from this segment with $f(x)$. For example, if $a = 1337$, $f(1) = 1$, $f(3) = 5$, $f(7) = 3$, and you choose the segment consisting of three rightmost digits, you get $1553$ as the result.\n\n\n\nWhat is the maximum possible number you can obtain applying this operation no more than once?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of digits in $a$.\n\n\n\nThe second line contains a string of $n$ characters, denoting the number $a$. Each character is a decimal digit from $1$ to $9$.\n\n\n\nThe third line contains exactly $9$ integers $f(1)$, $f(2)$, ..., $f(9)$ ($1 \\le f(i) \\le 9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number you can get after applying the operation described in the statement no more than once.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We partition a row of numbers A\u00a0into at most K adjacent (non-empty) groups, then our score is the sum of the average of each group. What is the largest score we can achieve?\n\nNote that our partition must use every number in A, and that scores are not necessarily integers.\n\nExample:\n\nInput: \n\nA = [9,1,2,3,9]\n\nK = 3\n\nOutput: 20\n\nExplanation: \n\nThe best choice is to partition A into [9], [1, 2, 3], [9]. The answer is 9 + (1 + 2 + 3) / 3 + 9 = 20.\n\nWe could have also partitioned A into [9, 1], [2], [3, 9], for example.\n\nThat partition would lead to a score of 5 + 2 + 6 = 13, which is worse.\n\n\n\n\u00a0\n\nNote: \n\n\n\n1 <= A.length <= 100.\n\n1 <= A[i] <= 10000.\n\n1 <= K <= A.length.\n\nAnswers within 10^-6 of the correct answer will be accepted as correct.", "responses": { "class Solution:\n def largestSumOfAverages(self, A: List[int], K: int) -> float:\n #if not A: return 0\n #if len(A)==1: return A[0]\n # Real Run Time is a little bit UNSTABLE\n N = len(A)\n P = [0] * (N+1)\n for i in range(1,N+1): P[i] = P[i-1] + A[i-1]\n \n # Table[a] = optimal for A[a:] with k subsets, initially k=1\n Table = [(P[N]-P[i])/(N-i) for i in range(N)]\n for k in range(2, K+1):\n for i in range(K-k,N-k+1):\n Table[i] = max((P[j]-P[i])/(j-i) + Table[j] for j in range(i+1,N-k+2))\n \n return Table[0]": 1.0, "class Solution:\n def largestSumOfAverages(self, A: List[int], K: int) -> float:\n N = len(A)\n P = [0] * (N+1)\n for i in range(1,N+1): P[i] = P[i-1] + A[i-1]\n \n Table = [(P[N]-P[i])/(N-i)**2 for i in range(N)]\n for k in range(2, K+1):\n for i in range(K-k,N-k+1):\n Table[i] = max((P[j]-P[i])/(j-i) + Table[j] for j in range(i+1,N-k+2))\n \n return Table[0]": 0.0, "class Solution:\n def largestSumOfAverages(self, A: List[int], K: int) -> float:\n N = len(A)\n P = [0] * (N+1)\n for i in range(1,N+1): P[i] = P[i-1] + A[i-1]\n \n Table = [(P[N]-P[i])//2 for i in range(N)] # Integer division instead of float\n \n for k in range(2, K+1):\n for i in range(K-k,N-k+1):\n Table[i] = max((P[j]-P[i])/(j-i) + Table[j] for j in range(i+1,N-k+2))\n \n return Table[0]": 0.0, "class Solution:\n def largestSumOfAverages(self, A: List[int], K: int) -> float:\n N = len(A)\n P = [0] * (N+1)\n for i in range(1,N+1): P[i] = P[i-1] + A[i-1]\n \n Table = [(P[N]-P[i])/(N-i) for i in range(N)]\n \n for k in range(2, K+1):\n for i in range(K-k,N-k+1, -1): # Reverse the iteration order\n Table[i] = max((P[j]-P[i])/(j-i) + Table[j] for j in range(i+1,N-k+2))\n \n return Table[0]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe partition a row of numbers A\u00a0into at most K adjacent (non-empty) groups, then our score is the sum of the average of each group. What is the largest score we can achieve?\n\nNote that our partition must use every number in A, and that scores are not necessarily integers.\n\nExample:\n\nInput: \n\nA = [9,1,2,3,9]\n\nK = 3\n\nOutput: 20\n\nExplanation: \n\nThe best choice is to partition A into [9], [1, 2, 3], [9]. The answer is 9 + (1 + 2 + 3) / 3 + 9 = 20.\n\nWe could have also partitioned A into [9, 1], [2], [3, 9], for example.\n\nThat partition would lead to a score of 5 + 2 + 6 = 13, which is worse.\n\n\n\n\u00a0\n\nNote: \n\n\n\n1 <= A.length <= 100.\n\n1 <= A[i] <= 10000.\n\n1 <= K <= A.length.\n\nAnswers within 10^-6 of the correct answer will be accepted as correct.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Once upon a time, a king and a few of his soldiers were caught by an enemy king in a war. \n\n\n\nHe puts them in a circle. The first man in the circle has to kill the second man, the third man has to kill the fourth, fifth man to kill the sixth and so on. When the circle is completed, the remaining people have to form a circle and the process has to repeat. The last man standing will be set free.\n\n\n\nIf the king has to be set free, which position must he take? For any given N number of people, write a program to find the position that the king has to take.\n\n\n\n-----Input-----\n\nAny positive integer in the range 1 to 10000.\n\n\n\n-----Output-----\n\nA positive integer indicating safest position\n\n\n\n-----Example-----\n\nInput:\n\n9\n\n\n\nOutput:\n\n3", "responses": { "n=int(input())\narr=[]\nfor i in range(1,n+1):\n arr.append(i)\nc=0\ni=0\nf=0;\nwhile(c 30, use 'to'. \n\n\n\n```\n\n\n\nMore examples in test cases. Good luck!", "responses": { "def solve(time):\n def number(n):\n if n > 20: return \"twenty {}\".format(number(n - 20))\n return [\n None, \"one\", \"two\", \"three\", \"four\",\n \"five\", \"six\", \"seven\", \"eight\", \"nine\",\n \"ten\", \"eleven\", \"twelve\", \"thirteen\",\n \"fourteen\", \"fifteen\", \"sixteen\", \"seventeen\",\n \"eighteen\", \"nineteen\", \"twenty\"][n]\n hours, minutes = (int(s) for s in time.split(':'))\n if minutes <= 30:\n direction = \"past\"\n else:\n hours = (hours + 1) % 24\n direction = \"to\"\n minutes = 60 - minutes\n hour = number((hours + 11) % 12 + 1) if hours else \"midnight\"\n if minutes == 0:\n return \"{} o'clock\".format(hour) if hours else hour\n if minutes == 15:\n return \"quarter {} {}\".format(direction, hour)\n if minutes == 30:\n return \"half past {}\".format(hour)\n return \"{} minute{} {} {}\".format(\n number(minutes), \"\" if minutes == 1 else \"s\", direction, hour)": 1.0, "def solve(time):\n def number(n):\n if n > 20: return \"twenty {}\".format(number(n - 20))\n return [\n None, \"one\", \"two\", \"three\", \"four\",\n \"five\", \"six\", \"seven\", \"eight\", \"nine\",\n \"ten\", \"eleven\", \"twelve\", \"thirteen\",\n \"fourteen\", \"fifteen\", \"sixteen\", \"seventeen\",\n \"eighteen\", \"nineteen\", \"twenty\"][n]\n hours, minutes = (int(s) for s in time.split(':'))\n if minutes <= 30:\n direction = \"past\"\n else:\n hours = (hours + 1) % 24\n direction = \"to\"\n minutes = 60 - minutes\n hour = number((hours + 11) % 12 + 1) if (hours + 11) % 12 else \"midnight\"\n if minutes == 0:\n return \"{} o'clock\".format(hour) if hours else hour\n if minutes == 15:\n return \"quarter {} {}\".format(direction, hour)\n if minutes == 30:\n return \"half past {}\".format(hour)\n return \"{} minute{} {} {}\".format(\n number(minutes), \"\" if minutes == 1 else \"s\", direction, hour)": 0.0, "def solve(time):\n def number(n):\n if n > 20: return \"twenty {}\".format(number(n - 20))\n return [\n None, \"one\", \"two\", \"three\", \"four\",\n \"five\", \"six\", \"seven\", \"eight\", \"nine\",\n \"ten\", \"eleven\", \"twelve\", \"thirteen\",\n \"fourteen\", \"fifteen\", \"sixteen\", \"seventeen\",\n \"eighteen\", \"nineteen\", \"twenty\"][n]\n hours, minutes = (int(s) for s in time.split(':'))\n if minutes <= 30:\n direction = \"past\"\n else:\n hours = (hours + 1) % 24\n direction = \"to\"\n minutes = 60 - minutes\n hour = number((hours + 11) % 12 + 1) if hours else \"midnight\"\n if minutes == 0:\n return \"{} o'clock{}\".format(hour, \"s\" if hours else \"\")\n if minutes == 15:\n return \"quarter {} {}\".format(direction, hour)\n if minutes == 30:\n return \"half past {}\".format(hour)\n return \"{} minute{} {} {}\".format(\n number(minutes), \"\" if minutes == 1 else \"s\", direction, hour)": 0.0, "def solve(time):\n def number(n):\n if n > 20: return \"twenty {}\".format(number(n - 20))\n return [\n None, \"one\", \"two\", \"three\", \"four\",\n \"five\", \"six\", \"seven\", \"eight\", \"nine\",\n \"ten\", \"eleven\", \"twelve\", \"thirteen\",\n \"fourteen\", \"fifteen\", \"sixteen\", \"seventeen\",\n \"eighteen\", \"nineteen\", \"twenty\"][n]\n hours, minutes = (int(s) for s in time.split(':'))\n if minutes <= 30:\n direction = \"past\"\n else:\n hours = (hours + 1) % 24\n direction = \"to\"\n minutes = 60 - minutes\n hour = number((hours + 11) % 12 + 1) if hours else \"midnight\"\n if minutes == 0:\n return \"{} o'clock\".format(hour) if hours else hour\n if minutes == 15:\n return \"quarter {} {}\".format(direction, hour)\n if minutes == 30:\n return \"half past {}{}\".format(hour, \"s\" if hours else \"\")\n return \"{} minute{} {} {}\".format(\n number(minutes), \"\" if minutes == 1 else \"s\", direction, hour)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven time in 24-hour format, convert it to words. \n\n\n\n```\n\nFor example:\n\n13:00 = one o'clock \n\n13:09 = nine minutes past one \n\n13:15 = quarter past one \n\n13:29 = twenty nine minutes past one\n\n13:30 = half past one \n\n13:31 = twenty nine minutes to two\n\n13:45 = quarter to two \n\n00:48 = twelve minutes to one\n\n00:08 = eight minutes past midnight\n\n12:00 = twelve o'clock\n\n00:00 = midnight\n\n\n\nNote: If minutes == 0, use 'o'clock'. If minutes <= 30, use 'past', and for minutes > 30, use 'to'. \n\n\n\n```\n\n\n\nMore examples in test cases. Good luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Lenny is playing a game on a 3 \u00d7 3 grid of lights. In the beginning of the game all lights are switched on. Pressing any of the lights will toggle it and all side-adjacent lights. The goal of the game is to switch all the lights off. We consider the toggling as follows: if the light was switched on then it will be switched off, if it was switched off then it will be switched on.\n\n\n\nLenny has spent some time playing with the grid and by now he has pressed each light a certain number of times. Given the number of times each light is pressed, you have to print the current state of each light.\n\n\n\n\n\n-----Input-----\n\n\n\nThe input consists of three rows. Each row contains three integers each between 0 to 100 inclusive. The j-th number in the i-th row is the number of times the j-th light of the i-th row of the grid is pressed.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint three lines, each containing three characters. The j-th character of the i-th line is \"1\" if and only if the corresponding light is switched on, otherwise it's \"0\".", "responses": { "a = []\nb = []\nfor i in range(3):\n t = input().split() \n a.append([int(t[0]), int(t[1]), int(t[2]) ] )\n b.append([1, 1, 1])\ndef add(i, j, w):\n if 2>=i>=0 and 2>=j>=0:\n b[i][j] += w\nfor i in range(3):\n for j in range(3):\n add(i, j, a[i][j])\n add(i-1, j, a[i][j])\n add(i+1, j, a[i][j])\n add(i, j+1, a[i][j])\n add(i, j-1, a[i][j])\nfor i in range(3):\n print( ''.join( map(str, [ [0,1][b[i][j]%2 ] for j in range(3) ] ) ) )": 1.0, "```python\na = []\nb = []\nfor i in range(3):\n t = input().split() \n a.append([int(t[0]), int(t[1]), int(t[2]) ] )\n b.append([1, 1, 1])\ndef add(i, j, w)\n if 2>=i>=0 and 2>=j>=0:\n b[i][j] += w\nfor i in range(3):\n for j in range(3):\n add(i, j, a[i][j])\n add(i-1, j, a[i][j])\n add(i+1, j, a[i][j])\n add(i, j+1, a[i][j])\n add(i, j-1, a[i][j])\nfor i in range(3):\n print( ''.join( map(str, [ [0,1][b[i][j]%2 ] for j in range(3) ] ) ) )\n```": 0.0, "```python\na = []\nb = []\nfor i in range(3):\n t = input().split() \n a.append([int(t[0]), int(t[1]), int(t[2]) ] )\n b.append([1, 1, 1])\ndef add(i j, w):\n if 2>=i>=0 and 2>=j>=0:\n b[i][j] += w\nfor i in range(3):\n for j in range(3):\n add(i, j, a[i][j])\n add(i-1, j, a[i][j])\n add(i+1, j, a[i][j])\n add(i, j+1, a[i][j])\n add(i, j-1, a[i][j])\nfor i in range(3):\n print( ''.join( map(str, [ [0,1][b[i][j]%2 ] for j in range(3) ] ) ) )\n```": 0.0, "```python\na = []\nb = []\nfor i in range(3):\n t = input().split() \n a.append([int(t[0]), int(t[1]), int(t[2]) ] )\n b.append([1, 1, 1])\ndef add(i, j):\n if 2>=i>=0 and 2>=j>=0\n b[i][j] += w\nfor i in range(3):\n for j in range(3):\n add(i, j, a[i][j])\n add(i-1, j, a[i][j])\n add(i+1, j, a[i][j])\n add(i, j+1, a[i][j])\n add(i, j-1, a[i][j])\nfor i in range(3):\n print( ''.join( map(str, [ [0,1][b[i][j]%2 ] for j in range(3) ] ) ) )\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLenny is playing a game on a 3 \u00d7 3 grid of lights. In the beginning of the game all lights are switched on. Pressing any of the lights will toggle it and all side-adjacent lights. The goal of the game is to switch all the lights off. We consider the toggling as follows: if the light was switched on then it will be switched off, if it was switched off then it will be switched on.\n\n\n\nLenny has spent some time playing with the grid and by now he has pressed each light a certain number of times. Given the number of times each light is pressed, you have to print the current state of each light.\n\n\n\n\n\n-----Input-----\n\n\n\nThe input consists of three rows. Each row contains three integers each between 0 to 100 inclusive. The j-th number in the i-th row is the number of times the j-th light of the i-th row of the grid is pressed.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint three lines, each containing three characters. The j-th character of the i-th line is \"1\" if and only if the corresponding light is switched on, otherwise it's \"0\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Everyone knows passphrases. One can choose passphrases from poems, songs, movies names and so on but frequently\n\nthey can be guessed due to common cultural references.\n\nYou can get your passphrases stronger by different means. One is the following:\n\n\n\nchoose a text in capital letters including or not digits and non alphabetic characters,\n\n \n\n1. shift each letter by a given number but the transformed letter must be a letter (circular shift), \n\n2. replace each digit by its complement to 9, \n\n3. keep such as non alphabetic and non digit characters, \n\n4. downcase each letter in odd position, upcase each letter in even position (the first character is in position 0), \n\n5. reverse the whole result.\n\n\n\n#Example:\n\n\n\nyour text: \"BORN IN 2015!\", shift 1\n\n\n\n1 + 2 + 3 -> \"CPSO JO 7984!\"\n\n\n\n4 \"CpSo jO 7984!\"\n\n\n\n5 \"!4897 Oj oSpC\"\n\n\n\nWith longer passphrases it's better to have a small and easy program.\n\nWould you write it?\n\n\n\nhttps://en.wikipedia.org/wiki/Passphrase", "responses": { "def play_pass(s, n):\n # Step 1, 2, 3\n shiftText = \"\"\n for char in s:\n if char.isdigit():\n shiftText += str(9 - int(char))\n elif char.isalpha():\n shifted = ord(char.lower()) + n\n shiftText += chr(shifted) if shifted <= ord('z') else chr(shifted - 26)\n else:\n shiftText += char\n # Step 4\n caseText = \"\"\n for i in range(len(shiftText)):\n caseText += shiftText[i].upper() if i % 2 == 0 else shiftText[i].lower()\n # Step 5\n return caseText[::-1]": 1.0, "def play_pass(s, n):\n shiftText = \"\"\n for char in s:\n if char.isdigit():\n shiftText += str(9 - int(char))\n elif char.isalpha():\n shifted = ord(char.lower()) + n\n shiftText += chr(shifted) if shifted <= ord('z') else chr(shifted - 26)\n else:\n shiftText += char\n \n # Missing step 4\n \n return shiftText[::-1]": 0.0, "def play_pass(s, n):\n shiftText = \"\"\n for char in s:\n if char.isdigit():\n shiftText += str(9 - int(char))\n elif char.isalpha():\n shifted = ord(char.lower()) + n\n shiftText += chr(shifted) if shifted <= ord('z') else chr(shifted - 26)\n else:\n shiftText += char\n \n # Step 4 doesn't alternate case\n \n caseText = shiftText.upper()\n \n # Missing step 5\n \n return caseText[::-1]": 0.0, "def play_pass(s, n):\n # Missing step 1\n \n shiftText = \"\"\n for char in s:\n if char.isdigit():\n shiftText += str(9 - int(char))\n elif char.isalpha():\n shifted = ord(char.lower()) + n\n shiftText += chr(shifted) if shifted <= ord('z') else chr(shifted - 26)\n else:\n shiftText += char\n \n # Missing step 4\n \n caseText = \"\"\n for i in range(len(shiftText)):\n caseText += shiftText[i].upper() if i % 2 == 0 else shiftText[i].lower()\n \n # Step 5 doesn't reverse\n \n return caseText": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEveryone knows passphrases. One can choose passphrases from poems, songs, movies names and so on but frequently\n\nthey can be guessed due to common cultural references.\n\nYou can get your passphrases stronger by different means. One is the following:\n\n\n\nchoose a text in capital letters including or not digits and non alphabetic characters,\n\n \n\n1. shift each letter by a given number but the transformed letter must be a letter (circular shift), \n\n2. replace each digit by its complement to 9, \n\n3. keep such as non alphabetic and non digit characters, \n\n4. downcase each letter in odd position, upcase each letter in even position (the first character is in position 0), \n\n5. reverse the whole result.\n\n\n\n#Example:\n\n\n\nyour text: \"BORN IN 2015!\", shift 1\n\n\n\n1 + 2 + 3 -> \"CPSO JO 7984!\"\n\n\n\n4 \"CpSo jO 7984!\"\n\n\n\n5 \"!4897 Oj oSpC\"\n\n\n\nWith longer passphrases it's better to have a small and easy program.\n\nWould you write it?\n\n\n\nhttps://en.wikipedia.org/wiki/Passphrase\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "While Mike was walking in the subway, all the stuff in his back-bag dropped on the ground. There were several fax messages among them. He concatenated these strings in some order and now he has string s.\n\n\n\n [Image] \n\n\n\nHe is not sure if this is his own back-bag or someone else's. He remembered that there were exactly k messages in his own bag, each was a palindrome string and all those strings had the same length.\n\n\n\nHe asked you to help him and tell him if he has worn his own back-bag. Check if the given string s is a concatenation of k palindromes of the same length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains string s containing lowercase English letters (1 \u2264 |s| \u2264 1000).\n\n\n\nThe second line contains integer k (1 \u2264 k \u2264 1000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\"(without quotes) if he has worn his own back-bag or \"NO\"(without quotes) otherwise.", "responses": { "def check(pali):\n for i in range(len(pali) // 2):\n if pali[i] != pali[-i - 1]:\n return False\n return True\ndef __starting_point():\n s = input()\n k = int(input())\n if len(s) % k != 0:\n print('NO')\n return\n step = len(s) // k\n for i in range(k):\n if not check(s[i * step: (i + 1) * step]):\n print('NO')\n return\n print('YES')\n__starting_point()": 1.0, "def check(pali):\n for i in range(len(pali) // 2):\n if pali[i] != pali[-i - 1]:\n return True # Bug: should return False\n return True\ndef __starting_point():\n s = input()\n k = int(input())\n if len(s) % k != 0:\n print('NO')\n return\n step = len(s) // k\n for i in range(k):\n if not check(s[i * step: (i + 1) * step]):\n print('NO')\n return\n print('YES')\n__starting_point()": 0.0, "def check(pali):\n for i in range(len(pali) // 2):\n if pali[i] != pali[-i - 1]:\n return False\n return False # Bug: should return True\ndef __starting_point():\n s = input()\n k = int(input())\n if len(s) % k != 0:\n print('NO')\n return\n step = len(s) // k\n for i in range(k):\n if not check(s[i * step: (i + 1) * step]):\n print('NO')\n return\n print('YES')\n__starting_point()": 0.0, "def check(pali):\n for i in range(len(pali) // 2):\n if pali[i] != pali[-i - 1]:\n return False\n return True\ndef __starting_point():\n s = input()\n k = int(input())\n if len(s) % k != 0:\n print('YES') # Bug: should print 'NO'\n return\n step = len(s) // k\n for i in range(k):\n if not check(s[i * step: (i + 1) * step]):\n print('NO')\n return\n print('YES')\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWhile Mike was walking in the subway, all the stuff in his back-bag dropped on the ground. There were several fax messages among them. He concatenated these strings in some order and now he has string s.\n\n\n\n [Image] \n\n\n\nHe is not sure if this is his own back-bag or someone else's. He remembered that there were exactly k messages in his own bag, each was a palindrome string and all those strings had the same length.\n\n\n\nHe asked you to help him and tell him if he has worn his own back-bag. Check if the given string s is a concatenation of k palindromes of the same length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains string s containing lowercase English letters (1 \u2264 |s| \u2264 1000).\n\n\n\nThe second line contains integer k (1 \u2264 k \u2264 1000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\"(without quotes) if he has worn his own back-bag or \"NO\"(without quotes) otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "As it's the first of April, Heidi is suspecting that the news she reads today are fake, and she does not want to look silly in front of all the contestants. She knows that a newspiece is fake if it contains heidi as a subsequence. Help Heidi assess whether the given piece is true, but please be discreet about it...\n\n\n\n\n\n-----Input-----\n\n\n\nThe first and only line of input contains a single nonempty string s of length at most 1000 composed of lowercase letters (a-z).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput YES if the string s contains heidi as a subsequence and NO otherwise.", "responses": { "string = input()\nnow = 0\nfor i in range(len(string)):\n if now == 0 and string[i] == \"h\":\n now += 1\n if now == 1 and string[i] == \"e\":\n now += 1\n if now == 2 and string[i] == \"i\":\n now += 1\n if now == 3 and string[i] == \"d\":\n now += 1\n if now == 4 and string[i] == \"i\":\n now += 1\nif now == 5:\n print(\"YES\")\nelse:\n print(\"NO\")\n ": 1.0, "string = input()\nnow = 0\nfor i in range(len(string)):\n if now == 0 and string[i] == \"h\":\n now += 1\n if now == 1 and string[i] == \"e\":\n now -= 1\n if now == 2 and string[i] == \"i\":\n now += 1\n if now == 3 and string[i] == \"d\":\n now += 1\n if now == 4 and string[i] == \"i\":\n now += 1\nif now == 5:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "string = input()\nnow = 0\nfor i in range(len(string)):\n if now == 0 and string[i] == \"h\":\n now += 1\n if now == 1 and string[i] == \"e\":\n now += 1\n if now == 2 and string[i] == \"i\":\n now -= 1\n if now == 3 and string[i] == \"d\":\n now += 1\n if now == 4 and string[i] == \"i\":\n now += 1\nif now == 5:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "string = input()\nnow = 0\nfor i in range(len(string)):\n if now == 0 and string[i] == \"h\":\n now += 1\n if now == 1 and string[i] == \"e\":\n now += 1\n if now == 2 and string[i] == \"i\":\n now += 1\n if now == 3 and string[i] == \"d\":\n now += 1\n if now == 4 and string[i] == \"i\":\n now -= 1\nif now == 5:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAs it's the first of April, Heidi is suspecting that the news she reads today are fake, and she does not want to look silly in front of all the contestants. She knows that a newspiece is fake if it contains heidi as a subsequence. Help Heidi assess whether the given piece is true, but please be discreet about it...\n\n\n\n\n\n-----Input-----\n\n\n\nThe first and only line of input contains a single nonempty string s of length at most 1000 composed of lowercase letters (a-z).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput YES if the string s contains heidi as a subsequence and NO otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Assume you are an awesome parent and want to give your children some cookies. But, you should give each child at most one cookie. Each child i has a greed factor gi, which is the minimum size of a cookie that the child will be content with; and each cookie j has a size sj. If sj >= gi, we can assign the cookie j to the child i, and the child i will be content. Your goal is to maximize the number of your content children and output the maximum number.\n\n\n\n\n\nNote:\n\nYou may assume the greed factor is always positive. \n\nYou cannot assign more than one cookie to one child.", "responses": { "class Solution:\n def findContentChildren(self, g, s):\n \"\"\"\n :type g: List[int]\n :type s: List[int]\n :rtype: int\n \"\"\"\n res = 0\n heapq.heapify(g)\n s.sort()\n for num in s:\n if not g:\n break\n elif g[0] <= num:\n res += 1\n heapq.heappop(g)\n return res": 1.0, "class Solution:\n def findContentChildren(self, g, s):\n \"\"\"\n :type g: List[int]\n :type s: List[int]\n :rtype: int\n \"\"\"\n res = 0\n heapq.heapify(g)\n s.sort()\n for num in s:\n if not g:\n break\n elif g[0] <= num:\n res += 1\n heapq.heappop(g) # bug: This line is indented incorrectly. It should be inside the 'elif' block.\n return res": 0.0, "class Solution:\n def findContentChildren(self, g, s):\n \"\"\"\n :type g: List[int]\n :type s: List[int]\n :rtype: int\n \"\"\"\n res = 0\n heapq.heapify(g)\n s.sort()\n for num in s:\n if not g:\n break\n elif g[0] < num: # bug: The comparison operator should be <= instead of <\n res += 1\n heapq.heappop(g)\n return res": 0.0, "class Solution:\n def findContentChildren(self, g, s):\n \"\"\"\n :type g: List[int]\n :type s: List[int]\n :rtype: int\n \"\"\"\n res = 0\n heapq.heapify(g)\n s.sort()\n for num in g: # bug: The loop should iterate over 's' instead of 'g'\n if not s:\n break\n elif num <= s[0]:\n res += 1\n heapq.heappop(s)\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAssume you are an awesome parent and want to give your children some cookies. But, you should give each child at most one cookie. Each child i has a greed factor gi, which is the minimum size of a cookie that the child will be content with; and each cookie j has a size sj. If sj >= gi, we can assign the cookie j to the child i, and the child i will be content. Your goal is to maximize the number of your content children and output the maximum number.\n\n\n\n\n\nNote:\n\nYou may assume the greed factor is always positive. \n\nYou cannot assign more than one cookie to one child.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kirill plays a new computer game. He came to the potion store where he can buy any potion. Each potion is characterized by two integers\u00a0\u2014 amount of experience and cost. The efficiency of a potion is the ratio of the amount of experience to the cost. Efficiency may be a non-integer number.\n\n\n\nFor each two integer numbers a and b such that l \u2264 a \u2264 r and x \u2264 b \u2264 y there is a potion with experience a and cost b in the store (that is, there are (r - l + 1)\u00b7(y - x + 1) potions).\n\n\n\nKirill wants to buy a potion which has efficiency k. Will he be able to do this?\n\n\n\n\n\n-----Input-----\n\n\n\nFirst string contains five integer numbers l, r, x, y, k (1 \u2264 l \u2264 r \u2264 10^7, 1 \u2264 x \u2264 y \u2264 10^7, 1 \u2264 k \u2264 10^7).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" without quotes if a potion with efficiency exactly k can be bought in the store and \"NO\" without quotes otherwise.\n\n\n\nYou can output each of the letters in any register.", "responses": { "def list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nl,r,x,y,k = map_input()\nans = \"NO\"\nfor i in range(x,y+1):\n if k*i > r:\n break\n elif k*i < l:\n continue\n ans = \"YES\"\n break\nprint(ans)": 1.0, "def list_input():#BUG: using wrong variable name\"\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nl,r,z,y,k = map_input()#BUG: using wrong variable name\"\nans = \"NO\"\nfor i in range(x,y+1):\n if k*i > r:\n break#BUG: should be \"continue\" here\n elif k*i < l:\n continue\n ans = \"YES\"\n break\nprint(ans)": 0.0, "def list_inoput():#BUG: wrong function name\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nl,r,x,y,k = map_inoput()#BUG: wrong function name\nans = \"NO\"\nfor i in range(x+1,y+1):#BUG: wrong range\n if k*i > r:\n break\n elif k*i < l:\n continue\n ans = \"YES\"\n break\nprint(ans)": 0.0, "def list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \nl,r,x,y,k = map_input()\nans = \"NO\"\nfor i in range(x,y+1):\n if k*i > r:\n break\n elif k*i > l:#BUG: wrong condition\n continue\n ans = \"YES\"\n break\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKirill plays a new computer game. He came to the potion store where he can buy any potion. Each potion is characterized by two integers\u00a0\u2014 amount of experience and cost. The efficiency of a potion is the ratio of the amount of experience to the cost. Efficiency may be a non-integer number.\n\n\n\nFor each two integer numbers a and b such that l \u2264 a \u2264 r and x \u2264 b \u2264 y there is a potion with experience a and cost b in the store (that is, there are (r - l + 1)\u00b7(y - x + 1) potions).\n\n\n\nKirill wants to buy a potion which has efficiency k. Will he be able to do this?\n\n\n\n\n\n-----Input-----\n\n\n\nFirst string contains five integer numbers l, r, x, y, k (1 \u2264 l \u2264 r \u2264 10^7, 1 \u2264 x \u2264 y \u2264 10^7, 1 \u2264 k \u2264 10^7).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" without quotes if a potion with efficiency exactly k can be bought in the store and \"NO\" without quotes otherwise.\n\n\n\nYou can output each of the letters in any register.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are n shovels in Polycarp's shop. The i-th shovel costs i burles, that is, the first shovel costs 1 burle, the second shovel costs 2 burles, the third shovel costs 3 burles, and so on. Polycarps wants to sell shovels in pairs.\n\n\n\nVisitors are more likely to buy a pair of shovels if their total cost ends with several 9s. Because of this, Polycarp wants to choose a pair of shovels to sell in such a way that the sum of their costs ends with maximum possible number of nines. For example, if he chooses shovels with costs 12345 and 37454, their total cost is 49799, it ends with two nines.\n\n\n\nYou are to compute the number of pairs of shovels such that their total cost ends with maximum possible number of nines. Two pairs are considered different if there is a shovel presented in one pair, but not in the other.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (2 \u2264 n \u2264 10^9) \u2014 the number of shovels in Polycarp's shop.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of pairs of shovels such that their total cost ends with maximum possible number of nines. \n\n\n\nNote that it is possible that the largest number of 9s at the end is 0, then you should count all such ways.\n\n\n\nIt is guaranteed that for every n \u2264 10^9 the answer doesn't exceed 2\u00b710^9.", "responses": { "from sys import stdin as cin\nfrom sys import stdout as cout\ndef main():\n n = int(cin.readline())\n o = 0\n for x in range(9, 0, -1):\n if 10 ** x // 2 <= n:\n ##print(x)\n for i in range(9):\n q = 10 ** x * (i + 1) // 2 - 1\n if q <= n:\n o += min(q, n - q)\n print(o)\n return\n print(n * (n - 1) // 2)\nmain()": 1.0, "from sys import stdin as cin\nfrom sys import stdout as cout\ndef main():\n n = int(cin.readline())\n o = 0\n for x in range(9, 0, -1):\n if 10 ** x // 2 <= n:\n ##print(x)\n for i in range(10): # changed 9 to 10 to introduce a bug\n q = 10 ** x * (i + 1) // 2 - 1\n if q <= n:\n o += min(q, n - q)\n print(o)\n return\n print(n * (n - 1) // 2)\nmain()": 0.0, "from sys import stdin as cin\nfrom sys import stdout as cout\ndef main():\n n = int(cin.readline())\n o = 0\n for x in range(8, 0, -1): # changed 9 to 8 to introduce a bug\n if 10 ** x // 2 <= n:\n for i in range(9):\n q = 10 ** x * (i + 1) // 2 - 1\n if q <= n:\n o += min(q, n - q)\n print(o)\n return\n print(n * (n - 1) // 2)\nmain()": 0.0, "from sys import stdin as cin\nfrom sys import stdout as cout\ndef main():\n n = int(cin.readline())\n o = 0\n for x in range(9, 0, -1):\n if 10 ** x // 2 <= n:\n for i in range(9):\n q = 10 ** x * (i + 1) // 2 - 1\n if q <= n:\n o += min(q, n - q)\n print(o)\n return\n print(n * (n) // 2) # removed the -1 to introduce a bug\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are n shovels in Polycarp's shop. The i-th shovel costs i burles, that is, the first shovel costs 1 burle, the second shovel costs 2 burles, the third shovel costs 3 burles, and so on. Polycarps wants to sell shovels in pairs.\n\n\n\nVisitors are more likely to buy a pair of shovels if their total cost ends with several 9s. Because of this, Polycarp wants to choose a pair of shovels to sell in such a way that the sum of their costs ends with maximum possible number of nines. For example, if he chooses shovels with costs 12345 and 37454, their total cost is 49799, it ends with two nines.\n\n\n\nYou are to compute the number of pairs of shovels such that their total cost ends with maximum possible number of nines. Two pairs are considered different if there is a shovel presented in one pair, but not in the other.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (2 \u2264 n \u2264 10^9) \u2014 the number of shovels in Polycarp's shop.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of pairs of shovels such that their total cost ends with maximum possible number of nines. \n\n\n\nNote that it is possible that the largest number of 9s at the end is 0, then you should count all such ways.\n\n\n\nIt is guaranteed that for every n \u2264 10^9 the answer doesn't exceed 2\u00b710^9.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Neko loves divisors. During the latest number theory lesson, he got an interesting exercise from his math teacher.\n\n\n\nNeko has two integers $a$ and $b$. His goal is to find a non-negative integer $k$ such that the least common multiple of $a+k$ and $b+k$ is the smallest possible. If there are multiple optimal integers $k$, he needs to choose the smallest one.\n\n\n\nGiven his mathematical talent, Neko had no trouble getting Wrong Answer on this problem. Can you help him solve it?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $a$ and $b$ ($1 \\le a, b \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the smallest non-negative integer $k$ ($k \\ge 0$) such that the lowest common multiple of $a+k$ and $b+k$ is the smallest possible.\n\n\n\nIf there are many possible integers $k$ giving the same value of the least common multiple, print the smallest one.", "responses": { "from math import gcd\na, b = list(map(int, input().split()))\nif b < a:\n a, b = b, a\nif a == b:\n print(0)\n return\nc = b - a\ni = 1\nans = a * b // gcd(a, b)\ndef get(x):\n A = (a + x - 1) // x * x\n B = A - a + b\n return A * B // gcd(A, B), A\nr = 0\nwhile i * i <= c:\n if c % i == 0:\n A, AA = get(i)\n B, BB = get(c // i)\n if A < ans:\n ans = A\n r = AA - a\n if B < ans:\n ans = B\n r = BB - a\n if A == ans:\n r = min(r, AA - a)\n if B == ans:\n r = min(r, BB - a)\n i += 1\nprint(r)": 1.0, "from math import gcd\na, b = list(map(int, input().split()))\nif b < a:\n a, b = b, a\nif a == b:\n print(0)\n return\nc = b - a\ni = 1\nans = a * b // gcd(a, b)\ndef get(x):\n A = (a + x - 1) // x * x\n B = A - a + b\n return A * B // gcd(A, B), A\nr = 0\nwhile i * i <= c:\n if c % i == 0:\n A, AA = get(i)\n B, BB = get(c // i)\n if A < ans:\n ans = A\n r = AA - a\n if B < ans:\n ans = B\n # Bug: Deleted the line that assigns r\n if A == ans:\n r = min(r, AA - a)\n if B == ans:\n r = min(r, BB - a)\n i += 1\nprint(r)": 0.0, "from math import gcd\na, b = list(map(int, input().split()))\nif b < a:\n a, b = b, a\nif a == b:\n print(0)\n return\nc = b - a\ni = 1\nans = a * b // gcd(a, b)\ndef get(x):\n A = (a + x - 1) // x * x\n # Bug: Made B negative instead of positive\n B = - A - a + b\n return A * B // gcd(A, B), A\nr = 0\nwhile i * i <= c:\n if c % i == 0:\n A, AA = get(i)\n B, BB = get(c // i)\n if A < ans:\n ans = A\n r = AA - a\n if B < ans:\n ans = B\n r = BB - a\n if A == ans:\n r = min(r, AA - a)\n if B == ans:\n r = min(r, BB - a)\n i += 1\nprint(r)": 0.0, "from math import gcd\na, b = list(map(int, input().split()))\nif b < a:\n a, b = b, a\nif a == b:\n print(0)\n return\nc = b - a\ni = 1\nans = a * b // gcd(a, b)\ndef get(x):\n A = (a + x - 1) // x * x\n B = A - a + b\n return A * B // gcd(A, B), A\nr = 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nNeko loves divisors. During the latest number theory lesson, he got an interesting exercise from his math teacher.\n\n\n\nNeko has two integers $a$ and $b$. His goal is to find a non-negative integer $k$ such that the least common multiple of $a+k$ and $b+k$ is the smallest possible. If there are multiple optimal integers $k$, he needs to choose the smallest one.\n\n\n\nGiven his mathematical talent, Neko had no trouble getting Wrong Answer on this problem. Can you help him solve it?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers $a$ and $b$ ($1 \\le a, b \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the smallest non-negative integer $k$ ($k \\ge 0$) such that the lowest common multiple of $a+k$ and $b+k$ is the smallest possible.\n\n\n\nIf there are many possible integers $k$ giving the same value of the least common multiple, print the smallest one.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Gottfried learned about binary number representation. He then came up with this task and presented it to you.\n\n\n\nYou are given a collection of $n$ non-negative integers $a_1, \\ldots, a_n$. You are allowed to perform the following operation: choose two distinct indices $1 \\leq i, j \\leq n$. If before the operation $a_i = x$, $a_j = y$, then after the operation $a_i = x~\\mathsf{AND}~y$, $a_j = x~\\mathsf{OR}~y$, where $\\mathsf{AND}$ and $\\mathsf{OR}$ are bitwise AND and OR respectively (refer to the Notes section for formal description). The operation may be performed any number of times (possibly zero).\n\n\n\nAfter all operations are done, compute $\\sum_{i=1}^n a_i^2$\u00a0\u2014 the sum of squares of all $a_i$. What is the largest sum of squares you can achieve?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\leq n \\leq 2 \\cdot 10^5$).\n\n\n\nThe second line contains $n$ integers $a_1, \\ldots, a_n$ ($0 \\leq a_i < 2^{20}$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the largest possible sum of squares that can be achieved after several (possibly zero) operations.", "responses": { "import sys\nfrom copy import copy\ninput = sys.stdin.readline\nn = int(input())\nl = [int(a) for a in input().split()]\nx = []\nfor i in range(0, 20):\n res = 0\n for a in l:\n if a & (1 << i):\n res += 1\n x.append(res)\nres = 0\nfor i in range(n):\n a = 0\n for j in range(20):\n if i < x[j]:\n a += (1 << j)\n res += a ** 2\nprint(res)": 1.0, "import sys\nfrom copy import copy\ninput = sys.stdin.readline\nn = int(input())\nl = [int(a) for a in input().split()]\nx = []\nfor i in range(0, 20)\n res = 0\n for a in l:\n if a & (1 << i)\n res += 1\n x.append(res)\nres = 0\nfor i in range(n):\n a = 0\n for j in range(20):\n if i < x[j]:\n a += (1 << j)\n res += a ** 2\nprint(res)": 0.0, "import sys\nfrom copy import copy\ninput = sys.stdin.readline\nn = int(input())\nl = [int(a) for a in input().split()]\nx = []\nfor i in range(0, 20):\n res = 0\n for a in l:\n if a & (1 << i):\n res += 1\n x.append(res)\nres = 0\nfor i in range(n)\n a = 0\n for j in range(20):\n if i < x[j]:\n a += (1 << j)\n res += a ** 2\nprint(res)": 0.0, "import sys\nfrom copy import copy\ninput = sys.stdin.readline\nn = int(input())\nl = [int(a) for a in input().split()]\nx = []\nfor i in range(0 20):\n res = 0\n for a in l\n if a & (1 << i):\n res += 1\n x.append(res)\nres = 0\nfor i in range(n):\n a = 0\n for j in range(20):\n if i < x[j]:\n a += (1 << j)\n res += a ** 2\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGottfried learned about binary number representation. He then came up with this task and presented it to you.\n\n\n\nYou are given a collection of $n$ non-negative integers $a_1, \\ldots, a_n$. You are allowed to perform the following operation: choose two distinct indices $1 \\leq i, j \\leq n$. If before the operation $a_i = x$, $a_j = y$, then after the operation $a_i = x~\\mathsf{AND}~y$, $a_j = x~\\mathsf{OR}~y$, where $\\mathsf{AND}$ and $\\mathsf{OR}$ are bitwise AND and OR respectively (refer to the Notes section for formal description). The operation may be performed any number of times (possibly zero).\n\n\n\nAfter all operations are done, compute $\\sum_{i=1}^n a_i^2$\u00a0\u2014 the sum of squares of all $a_i$. What is the largest sum of squares you can achieve?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\leq n \\leq 2 \\cdot 10^5$).\n\n\n\nThe second line contains $n$ integers $a_1, \\ldots, a_n$ ($0 \\leq a_i < 2^{20}$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the largest possible sum of squares that can be achieved after several (possibly zero) operations.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Berland shop sells $n$ kinds of juices. Each juice has its price $c_i$. Each juice includes some set of vitamins in it. There are three types of vitamins: vitamin \"A\", vitamin \"B\" and vitamin \"C\". Each juice can contain one, two or all three types of vitamins in it.\n\n\n\nPetya knows that he needs all three types of vitamins to stay healthy. What is the minimum total price of juices that Petya has to buy to obtain all three vitamins? Petya obtains some vitamin if he buys at least one juice containing it and drinks it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ $(1 \\le n \\le 1\\,000)$ \u2014 the number of juices.\n\n\n\nEach of the next $n$ lines contains an integer $c_i$ $(1 \\le c_i \\le 100\\,000)$ and a string $s_i$ \u2014 the price of the $i$-th juice and the vitamins it contains. String $s_i$ contains from $1$ to $3$ characters, and the only possible characters are \"A\", \"B\" and \"C\". It is guaranteed that each letter appears no more than once in each string $s_i$. The order of letters in strings $s_i$ is arbitrary.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint -1 if there is no way to obtain all three vitamins. Otherwise print the minimum total price of juices that Petya has to buy to obtain all three vitamins.", "responses": { "n = int(input())\ndef func(v):\n res = 0\n if \"A\" in v: res |= 1\n if \"B\" in v: res |= 2\n if \"C\" in v: res |= 4\n return res\ncost = [10 ** 10] * 8\ncost[0] = 0\nfor _ in range(n):\n c, v = input().split()\n c = int(c)\n v = func(v)\n for i in range(8):\n cost[i | v] = min(cost[i | v], cost[i] + c)\nprint(cost[7] if cost[7] < 10 ** 10 else -1)": 1.0, "n = input())\ndef func(v):\n res = 0\n if \"A\" in v: res |= 1\n if \"B\" in v: res |= 2\n if \"C\" in v: res |= 4\n return res\ncost = [10 ** 10] * 8\ncost[0] = 0\nfor _ in range(n):\n c, v = input().split()\n c = int(c)\n v = func(v)\n for i in range(8):\n cost[i | v] = min(cost[i | v], cost[i] + c)\nprint(cost[7] if cost[7] < 10 ** 10 else -1)": 0.0, "n = int(input())\ndef func(v):\n res = 0\n if \"A\" in v: res |= 1\n if \"B\" in v: res |= 2\n if \"C\" in v: res | = 4\n return res\ncost = [10 ** 10] * 8\ncost[0] = 0\nfor _ in range(n):\n c, v = input().split()\n c = int(c)\n v = func(v)\n for i in range(8):\n cost[i | v] = min(cost[i | v], cost[i] + c)\nprint(cost[7] if cost[7] < 10 ** 10 else -1)": 0.0, "n = int(input())\ndef func(v):\n res = 0\n if \"A\" in v: res |= 1\n if \"B\" in v: res |= 2\n if \"C\" in v: res |= 4\n return result\ncost = [10 ** 10] * 8\ncost[0] = 0\nfor _ in range(n):\n c, v = input().split()\n c = int(c)\n v = func(v)\n for i in range(8):\n cost[i | v] = min(cost[i | v], cost[i] + c)\nprint(cost[7] if cost[7] < 10 ** 10 else -1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBerland shop sells $n$ kinds of juices. Each juice has its price $c_i$. Each juice includes some set of vitamins in it. There are three types of vitamins: vitamin \"A\", vitamin \"B\" and vitamin \"C\". Each juice can contain one, two or all three types of vitamins in it.\n\n\n\nPetya knows that he needs all three types of vitamins to stay healthy. What is the minimum total price of juices that Petya has to buy to obtain all three vitamins? Petya obtains some vitamin if he buys at least one juice containing it and drinks it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ $(1 \\le n \\le 1\\,000)$ \u2014 the number of juices.\n\n\n\nEach of the next $n$ lines contains an integer $c_i$ $(1 \\le c_i \\le 100\\,000)$ and a string $s_i$ \u2014 the price of the $i$-th juice and the vitamins it contains. String $s_i$ contains from $1$ to $3$ characters, and the only possible characters are \"A\", \"B\" and \"C\". It is guaranteed that each letter appears no more than once in each string $s_i$. The order of letters in strings $s_i$ is arbitrary.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint -1 if there is no way to obtain all three vitamins. Otherwise print the minimum total price of juices that Petya has to buy to obtain all three vitamins.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Jon fought bravely to rescue the wildlings who were attacked by the white-walkers at Hardhome. On his arrival, Sam tells him that he wants to go to Oldtown to train at the Citadel to become a maester, so he can return and take the deceased Aemon's place as maester of Castle Black. Jon agrees to Sam's proposal and Sam sets off his journey to the Citadel. However becoming a trainee at the Citadel is not a cakewalk and hence the maesters at the Citadel gave Sam a problem to test his eligibility. \n\n\n\nInitially Sam has a list with a single element n. Then he has to perform certain operations on this list. In each operation Sam must remove any element x, such that x > 1, from the list and insert at the same position $\\lfloor \\frac{x}{2} \\rfloor$, $x \\operatorname{mod} 2$, $\\lfloor \\frac{x}{2} \\rfloor$ sequentially. He must continue with these operations until all the elements in the list are either 0 or 1.\n\n\n\nNow the masters want the total number of 1s in the range l to r (1-indexed). Sam wants to become a maester but unfortunately he cannot solve this problem. Can you help Sam to pass the eligibility test?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers n, l, r (0 \u2264 n < 2^50, 0 \u2264 r - l \u2264 10^5, r \u2265 1, l \u2265 1) \u2013 initial element and the range l to r.\n\n\n\nIt is guaranteed that r is not greater than the length of the final list.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the total number of 1s in the range l to r in the final sequence.", "responses": { "import sys\ninput=sys.stdin.readline\nn,l,r=list(map(int,input().split()))\na1=0\nlayers=1\nwhile layers*2<=n: layers*=2\nfor i in range(l,r+1):\n layer=layers\n while i%2==0:\n layer//=2\n i//=2\n if (n//layer)%2==1:\n a1+=1\n #print(i,n&layer)\nprint(a1)": 1.0, "import sys\ninput=sys.stdin.readline\nn,l,r=list(map(int,input().split()))\na1=0\nlayers=1\nwhile layers*2<=n: layers*=2\nfor i in range(l,r+1):\n layer=layers\n while i%2==0:\n layer//=2\n i//=2\n if (n//layer)//2==1:\n a1+=1\n #print(i,n&layer)\nprint(a1)": 0.0, "import sys\ninput=sys.stdin.readline\nn,l,r=list(map(int,input().split()))\na1=0\nlayers=1\nwhile layers*2<=n: layers*=2\nfor i in range(l,r+1):\n layer=layers\n while i%2==0:\n layer*=2\n i//=2\n if (n//layer)%2==1:\n a1+=1\n #print(i,n&layer)\nprint(a1)": 0.0, "import sys\ninput=sys.stdin.readline\nn,l,r=list(map(int,input().split()))\na1=0\nlayers=1\nwhile layers*2<=n: layers//=2\nfor i in range(l,r+1):\n layer=layers\n while i%2==0:\n layer//=2\n i//=2\n if (n//layer)%2==1:\n a1+=1\n #print(i,n&layer)\nprint(a1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nJon fought bravely to rescue the wildlings who were attacked by the white-walkers at Hardhome. On his arrival, Sam tells him that he wants to go to Oldtown to train at the Citadel to become a maester, so he can return and take the deceased Aemon's place as maester of Castle Black. Jon agrees to Sam's proposal and Sam sets off his journey to the Citadel. However becoming a trainee at the Citadel is not a cakewalk and hence the maesters at the Citadel gave Sam a problem to test his eligibility. \n\n\n\nInitially Sam has a list with a single element n. Then he has to perform certain operations on this list. In each operation Sam must remove any element x, such that x > 1, from the list and insert at the same position $\\lfloor \\frac{x}{2} \\rfloor$, $x \\operatorname{mod} 2$, $\\lfloor \\frac{x}{2} \\rfloor$ sequentially. He must continue with these operations until all the elements in the list are either 0 or 1.\n\n\n\nNow the masters want the total number of 1s in the range l to r (1-indexed). Sam wants to become a maester but unfortunately he cannot solve this problem. Can you help Sam to pass the eligibility test?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers n, l, r (0 \u2264 n < 2^50, 0 \u2264 r - l \u2264 10^5, r \u2265 1, l \u2265 1) \u2013 initial element and the range l to r.\n\n\n\nIt is guaranteed that r is not greater than the length of the final list.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the total number of 1s in the range l to r in the final sequence.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have a sequence of books: the i-th book has thickness books[i][0] and height books[i][1].\n\nWe want to place these books in order\u00a0onto bookcase shelves that have total width shelf_width.\n\nWe choose\u00a0some of the books to place on this shelf (such that the sum of their thickness is <= shelf_width), then build another level of shelf of the bookcase so that the total height of the bookcase has increased by the maximum height of the books we just put down.\u00a0 We repeat this process until there are no more books to place.\n\nNote again that at each step of the above\u00a0process, the order of the books we place is the same order as the given sequence of books.\u00a0 For example, if we have an ordered list of 5\u00a0books, we might place the first and second book onto the first shelf, the third book on the second shelf, and the fourth and fifth book on the last shelf.\n\nReturn the minimum possible height that the total bookshelf can be after placing shelves in this manner.", "responses": { "class Solution:\n def minHeightShelves(self, books: List[List[int]], shelf_width: int) -> int:\n n = len(books)\n dp = [inf] * (n+1)\n dp[0] = 0\n ret = inf\n for i in range(1, n+1):\n mx = 0\n cur = 0\n for j in range(i, 0, -1):\n cur += books[j-1][0]\n if cur > shelf_width:\n break\n mx = max(mx, books[j-1][1])\n dp[i] = min(dp[i], dp[j-1] + mx)\n return dp[-1]": 1.0, "class Solution:\n def minHeightShelves(self, books: List[List[int]], shelf_width: int) -> int:\n n = len(books)\n dp = [inf] * (n+1)\n dp[0] = 0\n ret = inf\n for i in range(1, n+1):\n mx = 0\n cur = 0\n for j in range(i, 0, -1):\n cur += books[j-1][0]\n if cur > shelf_width:\n break\n mx = max(mx, books[j-1][1])\n dp[i] = min(dp[i], dp[j-1] + mx)\n return dp[-1] # BUG: The return statement is placed inside the inner loop, causing the function to terminate prematurely.": 0.0, "class Solution:\n def minHeightShelves(self, books: List[List[int]], shelf_width: int) -> int:\n n = len(books)\n dp = [inf] * (n+1)\n dp[0] = 0\n ret = inf\n for i in range(1, n+1):\n mx = 0\n cur = 0\n for j in range(i, 0, -1):\n cur += books[j-1][0]\n if cur > shelf_width:\n break\n mx = max(mx, books[j-1][1])\n dp[i] = min(dp[i], dp[j-1] + mx)\n ret = min(ret, dp[i]) # BUG: The minimum height is not being updated correctly.\n return ret": 0.0, "class Solution:\n def minHeightShelves(self, books: List[List[int]], shelf_width: int) -> int:\n n = len(books)\n dp = [inf] * (n+1)\n dp[0] = 0\n ret = inf\n for i in range(1, n+1):\n mx = 0\n cur = 0\n for j in range(i, 0, -1):\n cur += books[j-1][0]\n if cur > shelf_width:\n break\n mx = max(mx, books[j-1][1])\n dp[i] = min(d[i], dp[j-1] + mx) # BUG: There is a typo in the variable name.\n return dp[-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a sequence of books: the i-th book has thickness books[i][0] and height books[i][1].\n\nWe want to place these books in order\u00a0onto bookcase shelves that have total width shelf_width.\n\nWe choose\u00a0some of the books to place on this shelf (such that the sum of their thickness is <= shelf_width), then build another level of shelf of the bookcase so that the total height of the bookcase has increased by the maximum height of the books we just put down.\u00a0 We repeat this process until there are no more books to place.\n\nNote again that at each step of the above\u00a0process, the order of the books we place is the same order as the given sequence of books.\u00a0 For example, if we have an ordered list of 5\u00a0books, we might place the first and second book onto the first shelf, the third book on the second shelf, and the fourth and fifth book on the last shelf.\n\nReturn the minimum possible height that the total bookshelf can be after placing shelves in this manner.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array $a$ of $n$ integers and an integer $s$. It is guaranteed that $n$ is odd.\n\n\n\nIn one operation you can either increase or decrease any single element by one. Calculate the minimum number of operations required to make the median of the array being equal to $s$.\n\n\n\nThe median of the array with odd length is the value of the element which is located on the middle position after the array is sorted. For example, the median of the array $6, 5, 8$ is equal to $6$, since if we sort this array we will get $5, 6, 8$, and $6$ is located on the middle position.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $s$ ($1\\le n\\le 2\\cdot 10^5-1$, $1\\le s\\le 10^9$)\u00a0\u2014 the length of the array and the required value of median.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1\\le a_i \\le 10^9$)\u00a0\u2014 the elements of the array $a$.\n\n\n\nIt is guaranteed that $n$ is odd.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line output the minimum number of operations to make the median being equal to $s$.", "responses": { "import sys\ninput=sys.stdin.readline\nn,s=list(map(int,input().split()))\na=list(map(int,input().split()))\na.sort()\nmed=a[n//2]\nans=0\nif med>s:\n for i in range(n//2+1):\n if a[i]>s:\n ans+=a[i]-s\nelif meda[i]:\n ans+=s-a[i]\nprint(ans)": 1.0, "import sys\ninput=sys.stdin.readline\nn,s=list(map(int,input().splits())) # Bug: should be 'split()' not 'splits()'\na=list(map(int,input().split()))\na.sort()\nmed=a[n//2]\nans=0\nif med>s:\n for i in range(n//2+1):\n if a[i]>s:\n ans+=a[i]-s\nelif meda[i]:\n ans+=s-a[i]\nprint(ans)": 0.0, "import sys\ninput=sys.stdin.readline\nn,s=list(map(int,input().split()))\na=list(map(int,input().split()))\na.sort()\nmed=a[n//2]\nans=0\nif med>s:\n for i in range(n//2+1):\n if a[i]>s:\n ans+=a[i]-s\nelse: # Bug: should be 'elif' instead of 'else'\n for i in range(n//2,n):\n if s>a[i]:\n ans+=s-a[i]\nprint(ans)": 0.0, "import sys\ninput=sys.stdin.readline\nn,s=list(map(int,input().split()))\na=list(map(int,input().split()))\na.sorted() # Bug: should be 'a.sort()' instead of 'a.sorted()'\nmed=a[n//2]\nans=0\nif med>s:\n for i in range(n//2+1):\n if a[i]>s:\n ans+=a[i]-s\nelif meda[i]:\n ans+=s-a[i]\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array $a$ of $n$ integers and an integer $s$. It is guaranteed that $n$ is odd.\n\n\n\nIn one operation you can either increase or decrease any single element by one. Calculate the minimum number of operations required to make the median of the array being equal to $s$.\n\n\n\nThe median of the array with odd length is the value of the element which is located on the middle position after the array is sorted. For example, the median of the array $6, 5, 8$ is equal to $6$, since if we sort this array we will get $5, 6, 8$, and $6$ is located on the middle position.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $s$ ($1\\le n\\le 2\\cdot 10^5-1$, $1\\le s\\le 10^9$)\u00a0\u2014 the length of the array and the required value of median.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1\\le a_i \\le 10^9$)\u00a0\u2014 the elements of the array $a$.\n\n\n\nIt is guaranteed that $n$ is odd.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line output the minimum number of operations to make the median being equal to $s$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is a group of\u00a0G members, and a list of various crimes they could commit.\n\nThe ith\u00a0crime generates a profit[i] and requires group[i]\u00a0members to participate in it.\n\nIf a\u00a0member participates in one crime, that member can't participate in another crime.\n\nLet's call a profitable\u00a0scheme\u00a0any subset of these crimes that generates at least P profit, and the total number of\u00a0members participating in that subset of crimes is at most G.\n\nHow many schemes can be chosen?\u00a0 Since the answer may be very\u00a0large, return it modulo 10^9 + 7.", "responses": { "class Solution:\n def profitableSchemes(self, G: int, P: int, group: List[int], profit: List[int]) -> int:\n MOD = 10**9 + 7\n group_len, profit_len = len(group),len(profit)\n dp = [[0]*(G+1) for _ in range(P+1)]\n dp[0][0] = 1\n for pro, gro in zip(profit,group):\n dp2 = [x[:] for x in dp]\n for p1 in range(P+1):\n p = min(pro + p1,P)\n for g1 in range(G+1-gro):\n g = g1 + gro\n dp2[p][g] += dp[p1][g1]\n dp2[p][g] %= MOD\n dp = dp2\n return sum(dp[-1]) %MOD": 1.0, "class Solution:\n def profitableSchemes(G: int, P: int, group: List[int], profit: List[int]) -> int:\n MOD = 10**9 + 7\n group_len, profit_len = len(group),len(profit)\n dp = [[0]*(G+1) for _ in range(P+1)]\n dp[0][0] = 1\n for pro, gro in zip(profit,group):\n dp2 = [x[:] for x in dp]\n for p1 in range(P+1):\n p = min(pro + p1,P)\n for g1 in range(G+1-gro):\n g = g1 + gro\n dp2[p][g] += dp[p1][g1]\n dp2[p][g] %= MOD\n dp = dp2\n return dp[-1] %MOD": 0.0, "class Solution:\n def profitableSchemes(self, G: int, P: int, group: List[int], profit: List[int]) -> int:\n MOD = 10**9 + 7\n group_len, profit_len = len(group),len(profit)\n dp = [[0]*(G+1) for _ in range(P+1)]\n dp[0][0] = 1\n for pro, gro in zip(profit,group):\n dp2 = [x[:] for x in dp]\n for p1 in range(P+1):\n p = min(pro + p1,P)\n for g1 in range(G+1-gro):\n g = g1 + gro\n dp2[p][g] += dp[p1][g1]\n dp = dp2\n return sum(dp[-1]) %MOD": 0.0, "class Solution:\n def profitableSchemes(self, G: int, P: int, group: List[int], profit: List[int]) -> int:\n MOD = 10**9 + 7\n group_len, profit_len = len(group),len(profit)\n dp = [[0]*(G+1) for _ in range(P+1)]\n dp[0][0] = 1\n for pro, gro in zip(profit,group):\n dp2 = [x[:] for x in dp]\n for p1 in range(P+1):\n p = pro + p1\n for g1 in range(G+1):\n g = g1 + gro\n dp2[p][g] += dp[p1][g1]\n dp2[p][g] %= MOD\n dp = dp2\n return sum(dp[-1]) %MOD": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is a group of\u00a0G members, and a list of various crimes they could commit.\n\nThe ith\u00a0crime generates a profit[i] and requires group[i]\u00a0members to participate in it.\n\nIf a\u00a0member participates in one crime, that member can't participate in another crime.\n\nLet's call a profitable\u00a0scheme\u00a0any subset of these crimes that generates at least P profit, and the total number of\u00a0members participating in that subset of crimes is at most G.\n\nHow many schemes can be chosen?\u00a0 Since the answer may be very\u00a0large, return it modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a 2D binary matrix filled with 0's and 1's, find the largest square containing only 1's and return its area.\n\n\n\nExample:\n\n\n\n\n\nInput: \n\n\n\n1 0 1 0 0\n\n1 0 1 1 1\n\n1 1 1 1 1\n\n1 0 0 1 0\n\n\n\nOutput: 4", "responses": { "class Solution:\n def maximalSquare(self, matrix):\n \"\"\"\n :type matrix: List[List[str]]\n :rtype: int\n \"\"\"\n if not matrix:\n return 0\n \n m, n = len(matrix), len(matrix[0])\n dp = [int(matrix[i][0]) for i in range(m)]\n vmax = max(dp) \n pre = 0 \n for j in range(1, n):\n pre, dp[0] = int(matrix[0][j-1]), int(matrix[0][j])\n for i in range(1, m):\n cur = dp[i]\n dp[i] = 0 if matrix[i][j] == '0' else (min(dp[i-1], dp[i], pre) + 1) \n pre = cur\n vmax = max(vmax, max(dp))\n return vmax ** 2": 1.0, "class Solution:\n def maximalSquare(self, matrix):\n if not matrix:\n return\n \n m, n = len(matrix), len(matrix[0])\n dp = [int(matrix[i][0]) for i in range(m)]\n vmax = max(dp) \n pre = 0 \n for j in range(1, n):\n pre, dp[0] = int(matrix[0][j-1]), int(matrix[0][j])\n for i in range(1, m):\n cur = dp[i]\n dp[i] = 0 if matrix[i][j] == '0' else (min(dp[i-1], dp[i], pre) + 1) \n pre = cur\n return vmax ** 2": 0.0, "class Solution:\n def maximalSquare(self, matrix):\n \"\"\"\n :type matrix: List[List[str]]\n :rtype: int\n \"\"\"\n if not matrix:\n return 0\n \n m, n = len(matrix), len(matrix[0])\n dp = [int(matrix[i][0]) for i in range(m)]\n vmax = max(dp) \n pre = 0 \n for j in range(1, n):\n pre, dp[0] = int(matrix[0][j-1]), int(matrix[0][j])\n for i in range(1, m):\n cur = dp[i]\n dp[i] = 0 if matrix[i][j] == '0' else (min(dp[i-1], dp[i], pre) + 1) \n pre = cur\n return vmax": 0.0, "class Solution:\n def maximalSquare(self, matrix):\n \"\"\"\n :type matrix: List[List[str]]\n :rtype: int\n \"\"\"\n if not matrix:\n return 0\n \n m, n = len(matrix), len(matrix[0])\n dp = [int(matrix[i][0]) for i in range(m)]\n vmax = max(dp) \n pre = 0 \n for j in range(1, n):\n pre, dp[0] = int(matrix[0][j-1]), int(matrix[0][j])\n for i in range(1, m):\n cur = dp[i]\n dp[i] = 0 if matrix[i][j] == '0' else (pre + 1) \n pre = cur\n vmax = max(vmax, max(dp))\n return vmax ** 3": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a 2D binary matrix filled with 0's and 1's, find the largest square containing only 1's and return its area.\n\n\n\nExample:\n\n\n\n\n\nInput: \n\n\n\n1 0 1 0 0\n\n1 0 1 1 1\n\n1 1 1 1 1\n\n1 0 0 1 0\n\n\n\nOutput: 4\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A has a string consisting of some number of lowercase English letters 'a'. He gives it to his friend B who appends some number of letters 'b' to the end of this string. Since both A and B like the characters 'a' and 'b', they have made sure that at this point, at least one 'a' and one 'b' exist in the string.\n\n\n\nB now gives this string to C and he appends some number of letters 'c' to the end of the string. However, since C is a good friend of A and B, the number of letters 'c' he appends is equal to the number of 'a' or to the number of 'b' in the string. It is also possible that the number of letters 'c' equals both to the number of letters 'a' and to the number of letters 'b' at the same time.\n\n\n\nYou have a string in your hands, and you want to check if it is possible to obtain the string in this way or not. If it is possible to obtain the string, print \"YES\", otherwise print \"NO\" (without the quotes).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first and only line consists of a string $S$ ($ 1 \\le |S| \\le 5\\,000 $). It is guaranteed that the string will only consist of the lowercase English letters 'a', 'b', 'c'.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" or \"NO\", according to the condition.", "responses": { "'''input\naabc\n'''\ndef list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \ns = input()\na = s.count('a')\nb = s.count('b')\nc = s.count('c')\nans = \"YES\"\nif(a == 0 or b == 0): ans = \"NO\"\nif(c != a and c != b): ans = \"NO\"\nfor i in range(len(s)-1):\n\tif(s[i] > s[i+1]): ans = \"NO\"\nprint(ans)\t": 1.0, "'''input\naabbcc\n'''\ndef list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \ns = input()\na = s.count('a')\nb = s.count('b')\nc = s.count('c')\nans = \"YES\"\nif(a == 0 or b == 0): ans = \"NO\"\nif(c != a and c != b): ans = \"NO\"\nfor i in range(len(s)-1):\n\tif(s[i] < s[i+1]): ans = \"NO\"\nprint(ans)": 0.0, "'''input\nabc\n'''\ndef list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \ns = input()\na = s.count('a')\nb = s.count('b')\nc = s.count('c')\nans = \"YES\"\nif(a == 0 or b == 0): ans = \"NO\"\nif(c != a and c != b): ans = \"NO\"\nfor i in range(len(s)-2):\n\tif(s[i] > s[i+1]): ans = \"NO\"\nprint(ans)": 0.0, "'''input\nabcdefg\n'''\ndef list_input():\n return list(map(int,input().split()))\ndef map_input():\n return map(int,input().split())\ndef map_string():\n return input().split()\n \ns = input()\na = s.count('a')\nb = s.count('b')\nc = s.count('c')\nans = \"YES\"\nif(a == 0 or b == 0): ans = \"NO\"\nif(c != a and c != b): ans = \"NO\"\nfor i in range(len(s)-2):\n\tif(s[i] < s[i+1]): ans = \"NO\"\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA has a string consisting of some number of lowercase English letters 'a'. He gives it to his friend B who appends some number of letters 'b' to the end of this string. Since both A and B like the characters 'a' and 'b', they have made sure that at this point, at least one 'a' and one 'b' exist in the string.\n\n\n\nB now gives this string to C and he appends some number of letters 'c' to the end of the string. However, since C is a good friend of A and B, the number of letters 'c' he appends is equal to the number of 'a' or to the number of 'b' in the string. It is also possible that the number of letters 'c' equals both to the number of letters 'a' and to the number of letters 'b' at the same time.\n\n\n\nYou have a string in your hands, and you want to check if it is possible to obtain the string in this way or not. If it is possible to obtain the string, print \"YES\", otherwise print \"NO\" (without the quotes).\n\n\n\n\n\n-----Input-----\n\n\n\nThe first and only line consists of a string $S$ ($ 1 \\le |S| \\le 5\\,000 $). It is guaranteed that the string will only consist of the lowercase English letters 'a', 'b', 'c'.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" or \"NO\", according to the condition.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two strings s1 and s2, write a function to return true if s2 contains the permutation of s1. In other words, one of the first string's permutations is the substring of the second string.", "responses": { "class Solution:\n def checkInclusion(self, s1, s2):\n \"\"\"\n :type s1: str\n :type s2: str\n :rtype: bool\n \"\"\"\n if len(s2) < len(s1):\n return False\n c1 = [0] * 128\n n = 0\n for i in s1:\n c = ord(i)\n if c1[c] == 0: n += 1\n c1[c] += 1\n for i in range(len(s1)):\n c = ord(s2[i])\n c1[c] -= 1\n if not c1[c]: n -= 1\n if not n: return True\n for i in range(len(s2) - len(s1)):\n c = ord(s2[i])\n if not c1[c]: n += 1\n c1[c] += 1\n c = ord(s2[i + len(s1)])\n c1[c] -= 1\n if not c1[c]:\n n -= 1\n if not n: return True\n return False": 1.0, "def reverse_string(string):\n \"\"\"\n :type string: str\n :rtype: str\n \"\"\"\n return string[][::-1]": 0.0, "def reverse_string(string):\n \"\"\"\n :type string: str\n :rtype: str\n \"\"\"\n return string[1:][::-1]": 0.0, "def reverse_string(string):\n \"\"\"\n :type string: str\n :rtype: str\n \"\"\"\n return string.reverse()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two strings s1 and s2, write a function to return true if s2 contains the permutation of s1. In other words, one of the first string's permutations is the substring of the second string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of size n, find the majority element. The majority element is the element that appears more than \u230a n/2 \u230b times.\n\n\n\nYou may assume that the array is non-empty and the majority element always exist in the array.", "responses": { "class Solution:\n def majorityElement(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n n=len(nums)\n if n==1 :\n return nums[0]\n if n%2 :\n find = set(nums[0:(n//2)+1]) & set(nums[n//2:])\n else:\n find = set(nums[0:n//2]) & set(nums[n//2:])\n \n for i in find:\n if nums.count(i)>n//2:\n return i": 1.0, "class Solution:\n def majorityElement(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n n=len(nums)\n if n==1 :\n return nums[0\n if n%2 :\n find = set(nums[0:(n//2)+1]) & set(nums[n//2:])\n else:\n find = set(nums[0:n//2]) & set(nums[n//2:])\n \n for i in find:\n if nums.count(i)>n//2:\n return i": 0.0, "class Solution:\n def majorityElement(self, nums)\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n n=len(nums)\n if n==1 :\n return nums[0]\n if n%2 :\n find = set(nums[0:(n//2)+1]) & set(nums[n//2:])\n else:\n find = set(nums[0:n//2]) & set(nums[n//2:])\n \n for i in find:\n if nums.count(i)>n//2:\n return i": 0.0, "class Solution:\n def majorityElement(self nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n n=len(nums)\n if n==1 :\n return nums[0]\n if n%2 :\n find = set(nums[0:(n//2)+1]) & set(nums[n//2:])\n else:\n find = set(nums[n//2:]) & set(nums[0:n//2]) \n \n for i in find:\n if nums.count(i)>n//2:\n return i": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of size n, find the majority element. The majority element is the element that appears more than \u230a n/2 \u230b times.\n\n\n\nYou may assume that the array is non-empty and the majority element always exist in the array.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A peak element is an element that is greater than its neighbors.\n\n\n\nGiven an input array nums, where nums[i] \u2260 nums[i+1], find a peak element and return its index.\n\n\n\nThe array may contain multiple peaks, in that case return the index to any one of the peaks is fine.\n\n\n\nYou may imagine that nums[-1] = nums[n] = -\u221e.", "responses": { "class Solution:\n def findPeakElement(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return -1\n \n start = 0\n end = len(nums) -1\n while start + 1 < end:\n mid = (start + end) // 2\n if nums[mid] > nums[mid - 1]:\n if nums[mid] > nums[mid + 1]:\n return mid\n else:\n start = mid\n else:\n end = mid\n if nums[start] > nums[end]:\n return start\n else:\n return end\n \n ": 1.0, "class Solution:\n def findPeakElement(nums):\n \n if not nums:\n return -1\n \n start = 0\n end = len(nums) -1\n while start + 1 < end:\n mid = (start + end) // 2\n if nums[mid] > nums[mid - 1]:\n if nums[mid] > nums[mid + 1]:\n return mid\n else:\n start = mid\n else:\n end = mid\n if nums[start] > nums[end]:\n return start\n else:\n return end": 0.0, "class Solution:\n def findPeakElement(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if nums==None:\n return -1\n \n start = 0\n end = len(nums) -1\n while start + 1 < end:\n mid = (start + end) // 2\n if nums[mid] > nums[mid - 1]:\n if nums[mid] > nums[mid + 1]:\n return mid\n else:\n start = mid\n else:\n end = mid\n if nums[start] > nums[end]:\n return start\n else:\n return end": 0.0, "class Solution:\n def findPeakElement(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return -1\n \n start = 0\n end = len(nums) -1\n while start + 2 < end:\n mid = (start + end) // 2\n if nums[mid] > nums[mid - 1]:\n if nums[mid] > nums[mid + 1]:\n return mid\n else:\n start = mid\n else:\n end = mid\n if nums[start] > nums[end]:\n return start\n else:\n return end": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA peak element is an element that is greater than its neighbors.\n\n\n\nGiven an input array nums, where nums[i] \u2260 nums[i+1], find a peak element and return its index.\n\n\n\nThe array may contain multiple peaks, in that case return the index to any one of the peaks is fine.\n\n\n\nYou may imagine that nums[-1] = nums[n] = -\u221e.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Vivek initially has an empty array $a$ and some integer constant $m$.\n\n\n\nHe performs the following algorithm: Select a random integer $x$ uniformly in range from $1$ to $m$ and append it to the end of $a$. Compute the greatest common divisor of integers in $a$. In case it equals to $1$, break Otherwise, return to step $1$. \n\n\n\nFind the expected length of $a$. It can be shown that it can be represented as $\\frac{P}{Q}$ where $P$ and $Q$ are coprime integers and $Q\\neq 0 \\pmod{10^9+7}$. Print the value of $P \\cdot Q^{-1} \\pmod{10^9+7}$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first and only line contains a single integer $m$ ($1 \\leq m \\leq 100000$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the expected length of the array $a$ written as $P \\cdot Q^{-1} \\pmod{10^9+7}$.", "responses": { "big = 100010\ndef gen_mu():\n mu = [1]*big\n mu[0] = 0\n P = [True]*big\n P[0] = P[1] = False\n for i in range(2,big):\n if P[i]:\n j = i\n while j [13, 17, 31, 37, 71, 73, 79, 97] \n\nbackwardsPrime(9900, 10000) => [9923, 9931, 9941, 9967]\n\nbackwardsPrime(501, 599) => []\n\n\n\n## Note for Forth\n\nReturn only the first backwards-read prime between start and end\n\nor 0 if you don't find any\n\n\n\n```python\n\nbackwards_prime(2, 100) => [13, 17, 31, 37, 71, 73, 79, 97] \n\nbackwards_prime(9900, 10000) => [9923, 9931, 9941, 9967]\n\n```", "responses": { "def backwardsPrime(start, stop):\n primes = []\n for n in range(start, stop+1):\n if n not in primes and is_prime(n) and is_prime(reverse(n)) and n != reverse(n):\n primes.append(n)\n if start <= reverse(n) <= stop:\n primes.append(reverse(n))\n return sorted(primes)\ndef is_prime(n):\n for i in range(2, int(n**(0.5))+1):\n if n % i == 0:\n return False\n return True\ndef reverse(n):\n return int(''.join(str(n)[::-1]))": 1.0, "def backwardsPrime(start, stop):\n primes = []\n for n in range(start, stop+1):\n if n not in primes and is_prime(n) and is_prime(reverse(n)) and n != reverse(n):\n primes.append(n)\n if start <= reverse(n) <= stop:\n primes.append(reverse(n))\n return primes\ndef is_prime(n):\n for i in range(2, int(n**(0.5))+1):\n if n % i == 0:\n return False\n return True\ndef reverse(n):\n return int(''.join(str(n)[::-1]))": 0.0, "def backwardsPrime(start, stop):\n primes = []\n for n in range(start, stop+1):\n if n not in primes or is_prime(n) and is_prime(reverse(n)) and n != reverse(n):\n primes.append(n)\n if start <= reverse(n) <= stop:\n primes.append(reverse(n))\n return sorted(primes)\ndef is_prime(n):\n for i in range(2, int(n**(0.5))+1):\n if n % i == 0:\n return False\n return True\ndef reverse(n):\n return int(''.join(str(n)[::-1]))": 0.0, "def backwardsPrime(start, stop):\n primes = []\n for n in range(start, stop+1):\n if n not in primes and (is_prime(n) or is_prime(reverse(n))) and n != reverse(n):\n primes.append(n)\n if start <= reverse(n) <= stop:\n primes.append(reverse(n))\n return sorted(primes)\ndef is_prime(n):\n for i in range(2, int(n**(0.5))+1):\n if n % i == 0:\n return False\n return True\ndef reverse(n):\n return int(''.join(str(n)[::-1]))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBackwards Read Primes are primes that when read backwards in base 10 (from right to left) \n\nare a different prime. (This rules out primes which are palindromes.)\n\n```\n\nExamples:\n\n13 17 31 37 71 73 are Backwards Read Primes\n\n```\n\n13 is such because it's prime and read from right to left writes 31 which is prime too. Same for the others.\n\n\n\n## Task\n\nFind all Backwards Read Primes between two positive given numbers (both inclusive), the second one always being greater than or equal to the first one. The resulting array or the resulting string will be ordered following the natural order of the prime numbers.\n\n\n\n## Example\n\n\n\nbackwardsPrime(2, 100) => [13, 17, 31, 37, 71, 73, 79, 97] \n\nbackwardsPrime(9900, 10000) => [9923, 9931, 9941, 9967]\n\nbackwardsPrime(501, 599) => []\n\n\n\n## Note for Forth\n\nReturn only the first backwards-read prime between start and end\n\nor 0 if you don't find any\n\n\n\n```python\n\nbackwards_prime(2, 100) => [13, 17, 31, 37, 71, 73, 79, 97] \n\nbackwards_prime(9900, 10000) => [9923, 9931, 9941, 9967]\n\n```\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a matrix of m x n elements (m rows, n columns), return all elements of the matrix in spiral order.", "responses": { "class Solution:\n def spiralOrder(self, matrix):\n \"\"\"\n :type matrix: List[List[int]]\n :rtype: List[int]\n \"\"\"\n result = []\n if not matrix:\n return result\n top = left = 0\n bottom, right = len(matrix) - 1, len(matrix[0]) - 1\n while top < bottom and left < right:\n for i in range(left, right):\n result.append(matrix[top][i])\n for i in range(top, bottom):\n result.append(matrix[i][right])\n for i in range(right, left, -1):\n result.append(matrix[bottom][i])\n for i in range(bottom, top, -1):\n result.append(matrix[i][left])\n left += 1\n right -= 1\n top += 1\n bottom -= 1\n if left == right and top == bottom:\n result.append(matrix[left][top])\n if left == right and top != bottom:\n for i in range(top, bottom+1):\n result.append(matrix[i][left])\n if left != right and top == bottom:\n for i in range(left, right+1):\n result.append(matrix[top][i])\n return result": 1.0, "class Solution:\n def spiralOrder(self, matrix):\n result = []\n if not matrix:\n return result\n top = left = 0\n \n bottom, right = len(matrix) - 1, len(matrix[0]) - 1\n while top < bottom and left < right:\n for i in range(left, right):\n result.append(matrix[top][i])\n for i in range(top, bottom):\n result.append(matrix[i][right])\n for i in range(right, left, -1):\n result.append(matrix[bottom][i])\n for i in range(bottom, top, -1):\n result.append(matrix[i][left])\n left += 1\n right -= 1\n top += 1\n bottom -= 1\n if left == right and top == bottom:\n result.append(matrix[left][top])\n if left == right and top != bottom:\n for i in range(top, bottom+1):\n result.append(matrix[i][left])\n if left != right and top == bottom:\n for i in range(left, right+1):\n result.append(matrix[top][i])\n return result": 0.0, "class Solution:\n def spiralOrder(self, matrix):\n \"\"\"\n :type matrix: List[List[int]]\n :rtype: List[int]\n \"\"\"\n result = []\n if not matrix:\n return result\n top = left = 0\n bottom, right = len(matrix) - 1, len(matrix[0]) - 1\n while top < bottom and left < right:\n for i in range(left, right + 1):\n result.append(matrix[top][i])\n for i in range(top + 1, bottom + 1):\n result.append(matrix[i][right])\n for i in range(right - 1, left - 1, -1):\n result.append(matrix[bottom][i])\n for i in range(bottom - 1, top):\n result.append(matrix[i][left])\n left += 1\n right -= 1\n top += 1\n bottom -= 1\n if left == right and top == bottom:\n result.append(matrix[left][top])\n if left == right and top != bottom:\n for i in range(top, bottom+1):\n result.append(matrix[i][left])\n if left != right and top == bottom:\n for i in range(left, right+1):\n result.append(matrix[top][i])\n return result": 0.0, "class Solution:\n def spiralOrder(self, matrix):\n \"\"\"\n :type matrix: List[List[int]]\n :rtype: List[int]\n \"\"\"\n result = []\n if not matrix:\n return result\n top = left = 0\n bottom, right = len(matrix) - 1, len(matrix[0]) - 1\n while top < bottom and left < right:\n for i in range(left, right + 1):\n result.append(matrix[top][i])\n for i in range(top + 1, bottom + 1):\n result.append(matrix[i][right])\n for i in range(right - 1, left - 1, -1):\n result.append(matrix[bottom][i])\n for i in range(bottom - 1, top - 1, -1):\n result.append(matrix[i][left])\n left += 1\n right -= 1\n top += 1\n bottom -= 1\n if left == right and top == bottom:\n result.append(matrix[left][top])\n if left == right and top != bottom:\n for i in range(top, bottom+1):\n result.append(matrix[i][left])\n if left != right and top == bottom:\n for i in range(left, right+1):\n result.append(matrix[top][i])\n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a matrix of m x n elements (m rows, n columns), return all elements of the matrix in spiral order.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Molly Hooper has n different kinds of chemicals arranged in a line. Each of the chemicals has an affection value, The i-th of them has affection value a_{i}.\n\n\n\nMolly wants Sherlock to fall in love with her. She intends to do this by mixing a contiguous segment of chemicals together to make a love potion with total affection value as a non-negative integer power of k. Total affection value of a continuous segment of chemicals is the sum of affection values of each chemical in that segment.\n\n\n\nHelp her to do so in finding the total number of such segments.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains two integers, n and k, the number of chemicals and the number, such that the total affection value is a non-negative power of this number k. (1 \u2264 n \u2264 10^5, 1 \u2264 |k| \u2264 10).\n\n\n\nNext line contains n integers a_1, a_2, ..., a_{n} ( - 10^9 \u2264 a_{i} \u2264 10^9)\u00a0\u2014 affection values of chemicals.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer\u00a0\u2014 the number of valid segments.", "responses": { "n, k = list(map(int, input().split()))\nA = list(map(int, input().split()))\ncumsum = [0]\nfor a in A:\n cumsum.append(cumsum[-1] + a)\npows = set([k**i for i in range(50)])\ncum = dict({})\ncum[0] = 1\nres = 0\nfor x in cumsum[1:]:\n for pow in pows:\n if (x - pow) in cum:\n res += cum[x - pow]\n if x in cum:\n cum[x] += 1\n else:\n cum[x] = 1\nprint(res)": 1.0, "# Each affection value should be multiplied by k, not added to accumulate the total affection value\nn, k = list(map(int, input().split()))\nA = list(map(int, input().split()))\ncumsum = [0]\nfor a in A:\n cumsum.append(cumsum[-1] * a)\npows = set([k**i for i in range(50)])\ncum = dict({})\ncum[0] = 1\nres = 0\nfor x in cumsum[1:]:\n for pow in pows:\n if (x - pow) in cum:\n res += cum[x - pow]\n if x in cum:\n cum[x] += 1\n else:\n cum[x] = 1\nprint(res)": 0.0, "# The total number of valid segments should be initialized as 1 instead of 0\nn, k = list(map(int, input().split()))\nA = list(map(int, input().split()))\ncumsum = [0]\nfor a in A:\n cumsum.append(cumsum[-1] + a)\npows = set([k**i for i in range(50)])\ncum = dict({})\ncum[0] = 1\nres = 1\nfor x in cumsum[1:]:\n for pow in pows:\n if (x - pow) in cum:\n res += cum[x - pow]\n if x in cum:\n cum[x] += 1\n else:\n cum[x] = 1\nprint(res)": 0.0, "# The affection values should not include negative numbers\nn, k = list(map(int, input().split()))\nA = list(map(int, input().split()))\ncumsum = [0]\nfor a in A:\n cumsum.append(cumsum[-1] + a)\npows = set([k**i for i in range(50)])\ncum = dict({})\ncum[0] = 1\nres = 0\nfor x in cumsum[1:]:\n for pow in pows:\n if (x - pow) in cum:\n res += cum[x - pow]\n if x in cum:\n cum[x] += 1\n else:\n cum[x] = 1\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nMolly Hooper has n different kinds of chemicals arranged in a line. Each of the chemicals has an affection value, The i-th of them has affection value a_{i}.\n\n\n\nMolly wants Sherlock to fall in love with her. She intends to do this by mixing a contiguous segment of chemicals together to make a love potion with total affection value as a non-negative integer power of k. Total affection value of a continuous segment of chemicals is the sum of affection values of each chemical in that segment.\n\n\n\nHelp her to do so in finding the total number of such segments.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains two integers, n and k, the number of chemicals and the number, such that the total affection value is a non-negative power of this number k. (1 \u2264 n \u2264 10^5, 1 \u2264 |k| \u2264 10).\n\n\n\nNext line contains n integers a_1, a_2, ..., a_{n} ( - 10^9 \u2264 a_{i} \u2264 10^9)\u00a0\u2014 affection values of chemicals.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer\u00a0\u2014 the number of valid segments.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two strings A and B, find the minimum number of times A has to be repeated such that B is a substring of it. If no such solution, return -1.\n\n\n\n\n\nFor example, with A = \"abcd\" and B = \"cdabcdab\". \n\n\n\n\n\nReturn 3, because by repeating A three times (\u201cabcdabcdabcd\u201d), B is a substring of it; and B is not a substring of A repeated two times (\"abcdabcd\").\n\n\n\n\n\nNote:\n\nThe length of A and B will be between 1 and 10000.", "responses": { "class Solution:\n def repeatedStringMatch(self, A, B):\n \"\"\"\n :type A: str\n :type B: str\n :rtype: int\n \"\"\"\n \n if not set(B).issubset(set(A)):\n return -1\n \n max_rep = len(B) // len(A) + 3\n A_new = A\n \n for i in range(1,max_rep):\n if B in A_new:\n return i\n A_new += A\n return -1": 1.0, "class Solution:\n def repeatedStringMatch(self, A, B):\n \"\"\"\n :type A: str\n :type B: str\n :rtype: int\n \"\"\"\n \n if not .set(B).subset(set(A)):\n return -1\n \n max_rep = len(B) / len(A) + 3\n A_new = A\n \n for i in range(1,max_rep):\n if B in A_new:\n return i\n A_new += A\n return -1": 0.0, "class Solution:\n def repeatedStringMatch(self, A, B):\n \"\"\"\n :type A: str\n :type B: str\n :rtype: int\n \"\"\"\n \n if not set(().B).issubset(set(A)):\n return -1\n \n max_rep = len(B) // len(A) + 3\n A_new = A\n \n for i in range(1,max_rep):\n if B in A_new:\n return i\n A_new += A\n return -1": 0.0, "class Solution:\n def repeatedStringMatch(self, A, B):\n \"\"\"\n :type A: str\n :type B: str\n :rtype: int\n \"\"\"\n \n if not set(B).isset(subset(set(A))):\n return -1\n \n max_rep = len(B) // len(A) + 3\n A_new = A\n \n for i in range(1,max_rep):\n if B in A_new:\n return i\n A_new += A\n return -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two strings A and B, find the minimum number of times A has to be repeated such that B is a substring of it. If no such solution, return -1.\n\n\n\n\n\nFor example, with A = \"abcd\" and B = \"cdabcdab\". \n\n\n\n\n\nReturn 3, because by repeating A three times (\u201cabcdabcdabcd\u201d), B is a substring of it; and B is not a substring of A repeated two times (\"abcdabcd\").\n\n\n\n\n\nNote:\n\nThe length of A and B will be between 1 and 10000.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have n jobs, where every job\u00a0is scheduled to be done from startTime[i] to endTime[i], obtaining a profit\u00a0of profit[i].\n\nYou're given the\u00a0startTime\u00a0,\u00a0endTime\u00a0and profit\u00a0arrays,\u00a0you need to output the maximum profit you can take such that there are no 2 jobs in the subset\u00a0with overlapping time range.\n\nIf you choose a job that ends at time X\u00a0you\u00a0will be able to start another job that starts at time X.", "responses": { "class Solution:\n def jobScheduling(self, startTime: List[int], endTime: List[int], profit: List[int]) -> int:\n \n # max profit ending at time t\n dp = [(0,0)]\n \n task = [(startTime[i], endTime[i], profit[i]) for i in range(len(startTime))]\n task = sorted(task, key = lambda x: x[1])\n \n for s, e, p in task:\n noTaskProf = dp[-1][1]\n for end, pro in reversed(dp):\n # end, pro = dp[i]\n if end <= s:\n doTaskProf = pro + p\n break\n if doTaskProf > noTaskProf:\n dp.append((e, doTaskProf))\n return dp[-1][1]\n \n \n ": 1.0, "class Solution:\n def jobScheduling(self, startTime: List[int], endTime: List[int], profit: List[int]) -> int:\n dp = [(0,0)]\n \n task = [(startTime[i], endTime[i], profit[i]) for i in range(len(startTime))]\n task = sorted(task, key = lambda x: x[1])\n \n for s, e, p in task:\n noTaskProf = dp[-1][1]\n for end, pro in reversed(dp):\n if start >= s:\n doTaskProf = pro + p\n break\n if doTaskProf > noTaskProf:\n dp.append((e, doTaskProf))\n return dp[-1][1]": 0.0, "class Solution:\n def jobScheduling(self, startTime: List[int], endTime: List[int], profit: List[int]) -> int:\n dp = [(0,0)]\n \n task = [(startTime[i], endTime[i], profit[i]) for i in range(len(startTime))]\n task = sorted(task, key = lambda x: x[1])\n \n for s, e, p in task:\n noTaskProf = dp[-1][1]\n for end, pro in reversed(dp):\n if end <= s:\n doTaskProf = profit[-1] + p\n break\n if doTaskProf > noTaskProf:\n dp.append((e, doTaskProf))\n return dp[-1][1]": 0.0, "class Solution:\n def jobScheduling(self, startTime: List[int], endTime: List[int], profit: List[int]) -> int:\n dp = [(0,0)]\n \n task = [(startTime[i], endTime[i], profit[i]) for i in range(len(startTime))]\n task = sorted(task, key = lambda x: x[1])\n \n for s, e, p in task:\n noTaskProf = dp[-1][1]\n for end, pro in reversed(dp):\n start = startTime[-1]\n if end <= s:\n doTaskProf = pro + p\n break\n if doTaskProf > noTaskProf:\n dp.append((e, doTaskProf))\n return dp[-1][1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have n jobs, where every job\u00a0is scheduled to be done from startTime[i] to endTime[i], obtaining a profit\u00a0of profit[i].\n\nYou're given the\u00a0startTime\u00a0,\u00a0endTime\u00a0and profit\u00a0arrays,\u00a0you need to output the maximum profit you can take such that there are no 2 jobs in the subset\u00a0with overlapping time range.\n\nIf you choose a job that ends at time X\u00a0you\u00a0will be able to start another job that starts at time X.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array A of positive integers, call a (contiguous, not necessarily distinct) subarray of A good if the number of different integers in that subarray is exactly K.\n\n(For example, [1,2,3,1,2] has 3 different integers: 1, 2, and 3.)\n\nReturn the number of good subarrays of A.", "responses": { "from collections import defaultdict\nclass Solution:\n def subarraysWithKDistinct(self, A: List[int], K: int) -> int:\n \n start_k = 0\n start = 0\n elem_dict = defaultdict(int)\n \n ans = 0\n \n for elem in A:\n elem_dict[elem] += 1\n \n if len(elem_dict) > K:\n del elem_dict[A[start_k]]\n start_k+=1\n start = start_k\n \n \n if len(elem_dict) == K:\n while elem_dict[A[start_k]] > 1:\n elem_dict[A[start_k]]-=1\n start_k+=1\n \n ans = ans + start_k - start + 1\n \n return ans\n \n \n ": 1.0, "from collections import defaultdict\nclass Solution:\n def subarraysWithKDistinct(self, A: List[int], K: int) -> int:\n \n start_k = 0\n start = 0\n elem_dict = defaultdict(int)\n \n ans = 0\n \n for elem in A:\n elem_dict[elem] += 1\n \n if len(elem_dict) > K:\n del elem_dict[A[start_k]]\n start_k+=1\n start = start_k\n \n \n if len(elem_dict) = K:\n while elem_dict[A[start_k]] > 1:\n elem_dict[A[start_k]]-=1\n start_k+=1\n \n ans = ans + start_k - start + 1\n \n return ans": 0.0, "from collections import defaultdict\nclass Solution:\n def subarraysWithKDistinct(self, A: List[int], K: int) -> int:\n \n start_k = 0\n start = 0\n elem_dict = defaultdict(int)\n \n ans = 0\n \n for elem in A:\n elem_dict[elem] += 1\n \n if len(elem_dict) > K:\n del elem_dict[A[start_k]]\n start_k+=\n start = start_k\n \n \n if len(elem_dict) == K:\n while elem_dict[A[start_k]] > 1:\n elem_dict[A[start_k]]-=1\n start_k+=1\n \n ans = ans + start_k - start + 1\n \n return ans": 0.0, "import from collections import defaultdict\nclass Solution:\n def subarraysWithKDistinct(self, A: List[int], K: int) -> int:\n \n start_k = 0\n start = 0\n elem_dict = defaultdict(int)\n \n ans = 0\n \n for elem in A:\n elem_dict[elem] += 1\n \n if len(elem_dict) > K:\n del elem_dict[A[start_k]]\n start_k+=1\n start = start_k\n \n \n if len(elem_dict) == K:\n while elem_dict[A[start_k]] > 1:\n elem_dict[A[start_k]]-=1\n start_k+=1\n \n ans == ans + start_k - start + 1\n \n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array A of positive integers, call a (contiguous, not necessarily distinct) subarray of A good if the number of different integers in that subarray is exactly K.\n\n(For example, [1,2,3,1,2] has 3 different integers: 1, 2, and 3.)\n\nReturn the number of good subarrays of A.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ayrat is looking for the perfect code. He decided to start his search from an infinite field tiled by hexagons. For convenience the coordinate system is introduced, take a look at the picture to see how the coordinates of hexagon are defined: \n\n\n\n[Image] [Image] Ayrat is searching through the field. He started at point (0, 0) and is moving along the spiral (see second picture). Sometimes he forgets where he is now. Help Ayrat determine his location after n moves.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains integer n (0 \u2264 n \u2264 10^18)\u00a0\u2014 the number of Ayrat's moves.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers x and y\u00a0\u2014 current coordinates of Ayrat coordinates.", "responses": { "def f(n):\n\tleft, right = -1, n + 1\n\twhile right - left > 1:\n\t\tmid = (left + right) // 2\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tif x > n:\n\t\t\tright = mid\n\t\telse:\n\t\t\tleft = mid\n\tif left >= 0:\n\t\tmid = left\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tn -= x\n\treturn (n, left + 1)\ndef main():\n\tn = int(input())\n\tn, k = f(n)\n\tx = k\n\ty = -2 * k\n\t\n\td = [k + 1] * 6\n\td[1] -= 1\n\tdx = [1, -1, -2, -1, 1, 2]\n\tdy = [2, 2, 0, -2, -2, 0]\n\t\n\tfor i in range(6):\n\t\tx += min(d[i], n) * dx[i]\n\t\ty += min(d[i], n) * dy[i]\n\t\tn = max(0, n - d[i])\n\t\n\tprint(x, y)\nmain()": 1.0, "```python\ndef f(n):\n\tleft, right = -1, n + 1\n\twhile right - left > 1:\n\t\tmid = (left + right) // 2\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tif x < n: # Bug: Changing 'x > n' to 'x < n'\n\t\t\tright = mid\n\t\telse:\n\t\t\tleft = mid\n\tif left >= 0:\n\t\tmid = left\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tn -= x\n\treturn (n, left + 1)\n\ndef main():\n\tn = int(input())\n\tn, k = f(n)\n\tx = k\n\ty = -2 * k\n\t\n\td = [k + 1] * 6\n\td[1] -= 1\n\tdx = [1, -1, -2, -1, 1, 2]\n\tdy = [2, 2, 0, -2, -2, 0]\n\t\n\tfor i in range(6):\n\t\tx += min(d[i], n) * dx[i]\n\t\ty += min(d[i], n) * dy[i]\n\t\tn = max(0, n - d[i])\n\t\n\tprint(x, y)\n\nmain()\n```": 0.0, "```python\ndef f(n):\n\tleft, right = -1, n + 1\n\twhile right - left > 1:\n\t\tmid = (left + right) // 2\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tif x > n:\n\t\t\tright = mid\n\t\telse:\n\t\t\tleft = mid\n\tif left >= 0:\n\t\tmid = left\n\t\tx = 6 * mid * (mid + 1) // 2 - 5 * (mid + 1) # Bug: Changing '+' to '-'\n\t\tn -= x\n\treturn (n, left + 1)\n\ndef main():\n\tn = int(input())\n\tn, k = f(n)\n\tx = k\n\ty = -2 * k\n\t\n\td = [k + 1] * 6\n\td[1] -= 1\n\tdx = [1, -1, -2, -1, 1, 2]\n\tdy = [2, 2, 0, -2, -2, 0]\n\t\n\tfor i in range(6):\n\t\tx += min(d[i], n) * dx[i]\n\t\ty += min(d[i], n) * dy[i]\n\t\tn = max(0, n - d[i])\n\t\n\tprint(x, y)\n\nmain()\n```": 0.0, "```python\ndef f(n):\n\tleft, right = -1, n + 1\n\twhile right - left > 1:\n\t\tmid = (left + right) // 2\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tif x > n:\n\t\t\tright = mid\n\t\telse:\n\t\t\tleft = mid\n\tif left >= 0:\n\t\tmid = left\n\t\tx = 6 * mid * (mid + 1) // 2 + 5 * (mid + 1)\n\t\tn += x # Bug: Changing 'n -= x' to 'n += x'\n\treturn (n, left + 1)\n\ndef main():\n\tn = int(input())\n\tn, k = f(n)\n\tx = k\n\ty = -2 * k\n\t\n\td = [k + 1] * 6\n\td[1] -= 1\n\tdx = [1, -1, -2, -1, 1, 2]\n\tdy = [2, 2, 0, -2, -2, 0]\n\t\n\tfor i in range(6):\n\t\tx += min(d[i], n) * dx[i]\n\t\ty += min(d[i], n) * dy[i]\n\t\tn = max(0, n - d[i])\n\t\n\tprint(x, y)\n\nmain()\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAyrat is looking for the perfect code. He decided to start his search from an infinite field tiled by hexagons. For convenience the coordinate system is introduced, take a look at the picture to see how the coordinates of hexagon are defined: \n\n\n\n[Image] [Image] Ayrat is searching through the field. He started at point (0, 0) and is moving along the spiral (see second picture). Sometimes he forgets where he is now. Help Ayrat determine his location after n moves.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains integer n (0 \u2264 n \u2264 10^18)\u00a0\u2014 the number of Ayrat's moves.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers x and y\u00a0\u2014 current coordinates of Ayrat coordinates.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Polycarp has a cat and his cat is a real gourmet! Dependent on a day of the week he eats certain type of food: on Mondays, Thursdays and Sundays he eats fish food; on Tuesdays and Saturdays he eats rabbit stew; on other days of week he eats chicken stake. \n\n\n\nPolycarp plans to go on a trip and already packed his backpack. His backpack contains: $a$ daily rations of fish food; $b$ daily rations of rabbit stew; $c$ daily rations of chicken stakes. \n\n\n\nPolycarp has to choose such day of the week to start his trip that his cat can eat without additional food purchases as long as possible. Print the maximum number of days the cat can eat in a trip without additional food purchases, if Polycarp chooses the day of the week to start his trip optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains three positive integers $a$, $b$ and $c$ ($1 \\le a, b, c \\le 7\\cdot10^8$) \u2014 the number of daily rations of fish food, rabbit stew and chicken stakes in Polycarps backpack correspondingly.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of days the cat can eat in a trip without additional food purchases, if Polycarp chooses the day of the week to start his trip optimally.", "responses": { "A, B, C = list(map(int, input().split()))\ng = min(A//3,B//2,C//2)\nA -= g*3\nB -= g*2\nC -= g*2\nL = [0,0,1,2,0,2,1]\ndef calc(today, x):\n if x[L[today]] == 0:\n return 0\n y = [xx for xx in x]\n y[L[today]] -= 1\n return calc((today+1)%7, y) + 1\nma = 0\nfor i in range(7):\n ma = max(ma, calc(i, [A,B,C]))\nprint(ma+g*7)": 1.0, "A, B, C = list(map(int, input().split()))\ng = min(A//3,B//2,C//2)\nA -= g*3\nB -= g*2\nC -= g*2\nL = [0,0,1,2,0,2,1]\ndef calc(today, x):\n if x[L[today]] == 0:\n return 0\n y = [xx for xx in x]\n y[L[today]] -= 1\n return calc((today+1)%8, y) + 1\nma = 0\nfor i in range(8): ## Extra day\n ma = max(ma, calc(i, [A,B,C]))\nprint(ma+g*7)": 0.0, "A, B, C = list(map(int, input().split()))\ng = min(A//3,B//2,C//2)\nA -= g*3\nB -= g*2\nC -= g*2\nL = [0,0,1,2,0,2,1]\ndef calc(today, x):\n if x[L[today]] == 0:\n return 0\n y = [xx for xx in x]\n y[L[today]] -= 1\n return calc((today+1)%7, y) / 1 ## Division instead of addition\nma = 0\nfor i in range(7):\n ma = max(ma, calc(i, [A,B,C]))\nprint(ma+g*7)": 0.0, "A, B, C = list(map(int, input().split()))\ng = min(A//3,B//2,C//2)\nA -= g*3\nB -= g*2\nC -= g*2\nL = [0,0,1,2,0,2,1]\ndef calc(today, x):\n if x[L[today]] == 0:\n return 0\n y = [xx for xx in x]\n y[L[today]] -= 1\n return calc((today+1)%7, y) + 1\nma = 0\nfor i in range(7):\n ma = max(ma, calc(i, [A,B,C]))\nprint(ma+g) ## Removed *7": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarp has a cat and his cat is a real gourmet! Dependent on a day of the week he eats certain type of food: on Mondays, Thursdays and Sundays he eats fish food; on Tuesdays and Saturdays he eats rabbit stew; on other days of week he eats chicken stake. \n\n\n\nPolycarp plans to go on a trip and already packed his backpack. His backpack contains: $a$ daily rations of fish food; $b$ daily rations of rabbit stew; $c$ daily rations of chicken stakes. \n\n\n\nPolycarp has to choose such day of the week to start his trip that his cat can eat without additional food purchases as long as possible. Print the maximum number of days the cat can eat in a trip without additional food purchases, if Polycarp chooses the day of the week to start his trip optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains three positive integers $a$, $b$ and $c$ ($1 \\le a, b, c \\le 7\\cdot10^8$) \u2014 the number of daily rations of fish food, rabbit stew and chicken stakes in Polycarps backpack correspondingly.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of days the cat can eat in a trip without additional food purchases, if Polycarp chooses the day of the week to start his trip optimally.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Takahashi wants to gain muscle, and decides to work out at AtCoder Gym.\n\nThe exercise machine at the gym has N buttons, and exactly one of the buttons is lighten up.\n\nThese buttons are numbered 1 through N.\n\nWhen Button i is lighten up and you press it, the light is turned off, and then Button a_i will be lighten up. It is possible that i=a_i.\n\nWhen Button i is not lighten up, nothing will happen by pressing it.\n\nInitially, Button 1 is lighten up. Takahashi wants to quit pressing buttons when Button 2 is lighten up.\n\nDetermine whether this is possible. If the answer is positive, find the minimum number of times he needs to press buttons.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 10^5\n\n - 1 \u2264 a_i \u2264 N\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\na_1\n\na_2\n\n:\n\na_N\n\n\n\n-----Output-----\n\nPrint -1 if it is impossible to lighten up Button 2.\n\nOtherwise, print the minimum number of times we need to press buttons in order to lighten up Button 2.\n\n\n\n-----Sample Input-----\n\n3\n\n3\n\n1\n\n2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nPress Button 1, then Button 3.", "responses": { "import os\nimport sys\ndef main():\n N = int(input())\n A = [0]\n visited = [0]*(N+1)\n for _ in range(N):\n A.append(int(input()))\n i = 1\n cnt = 0\n while visited[i] == 0:\n if i == 2:\n print(cnt)\n return\n cnt += 1\n visited[i] = 1\n i = A[i]\n print((-1))\ndef __starting_point():\n main()\n__starting_point()": 1.0, "import os\nimport sys\ndef main():\n N = int(input())\n A = [0]\n visited = [0]*(N+1)\n for _ in range(N):\n A.append(int(input()))\n i = 1\n cnt = 0\n while visited[i] == 0:\n if i == 2:\n print(cnt)\n return\n cnt += 1\n visited[i] = 1\n i = A[i]\n print((-1))\ndef __starting_point():\nmain()\n__starting_point()": 0.0, "import os\nimport sys\ndef main():\n N = int(input())\n A = [0]\n visited = [0]*(N+1)\n for _ in range(N):\n A.append(int(input()))\n i = 1\n cnt = 0\n while visited[i] == 0:\n if i == 2:\n print(cnt)\n return\n visited[i] = 1\n i = A[i]\n print((-1))\ndef __starting_point():\n main()\n__starting_point()": 0.0, "import os\nimport sys\ndef main():\n N = int(input())\n A = [0]\n visited = [0]*(N+1)\n for _ in range(N):\n A.append(int(input()))\n i = 1\n cnt = 0\n while visited[i] == 0:\n if i == 2:\n print(cnt)\n return\n cnt += 1\n visited[i] = 1\n print((-1))\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTakahashi wants to gain muscle, and decides to work out at AtCoder Gym.\n\nThe exercise machine at the gym has N buttons, and exactly one of the buttons is lighten up.\n\nThese buttons are numbered 1 through N.\n\nWhen Button i is lighten up and you press it, the light is turned off, and then Button a_i will be lighten up. It is possible that i=a_i.\n\nWhen Button i is not lighten up, nothing will happen by pressing it.\n\nInitially, Button 1 is lighten up. Takahashi wants to quit pressing buttons when Button 2 is lighten up.\n\nDetermine whether this is possible. If the answer is positive, find the minimum number of times he needs to press buttons.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 10^5\n\n - 1 \u2264 a_i \u2264 N\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\na_1\n\na_2\n\n:\n\na_N\n\n\n\n-----Output-----\n\nPrint -1 if it is impossible to lighten up Button 2.\n\nOtherwise, print the minimum number of times we need to press buttons in order to lighten up Button 2.\n\n\n\n-----Sample Input-----\n\n3\n\n3\n\n1\n\n2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nPress Button 1, then Button 3.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The Fair Nut found a string $s$. The string consists of lowercase Latin letters. The Nut is a curious guy, so he wants to find the number of strictly increasing sequences $p_1, p_2, \\ldots, p_k$, such that: For each $i$ ($1 \\leq i \\leq k$), $s_{p_i} =$ 'a'. For each $i$ ($1 \\leq i < k$), there is such $j$ that $p_i < j < p_{i + 1}$ and $s_j =$ 'b'. \n\n\n\nThe Nut is upset because he doesn't know how to find the number. Help him.\n\n\n\nThis number should be calculated modulo $10^9 + 7$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the string $s$ ($1 \\leq |s| \\leq 10^5$) consisting of lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem\u00a0\u2014 the number of such sequences $p_1, p_2, \\ldots, p_k$ modulo $10^9 + 7$.", "responses": { "s=input()\nn=len(s)\na=[]\ncurr=0\nfor i in range(n):\n if s[i]==\"a\":\n curr+=1\n elif s[i]==\"b\":\n a.append(curr)\n curr=0\nif curr>0:\n a.append(curr)\nprod=1\nfor i in range(len(a)):\n prod*=(a[i]+1)\n prod=prod%1000000007\nprint(prod-1)": 1.0, "s = input()\nn = len(s)\na = []\ncurr = 0\nfor i in range(n):\n if s[i] == \"a\":\n curr += 1\n elif s[i] == \"b\":\n a.append(curr)\n curr = 0\nif curr > 0:\n a.append(curr)\nprod = 1\nfor i in range(len(a)):\n prod += (a[i] + 1)\n prod = prod % 1000000007\nprint(prod - 1)": 0.0, "s = input()\nn = len(s)\na = []\ncurr = 0\nfor i in range(n):\n if s[i] == \"a\":\n curr += 1\n elif s[i] == \"b\":\n a.append(curr)\n curr = 1\nif curr > 0:\n a.append(curr)\nprod = 1\nfor i in range(len(a)):\n prod *= (a[i] + 1)\n prod = prod % 1000000007\nprint(prod - 1)": 0.0, "s = input()\nn = len(s)\na = []\ncurr = 0\nfor i in range(n):\n if s[i] == \"a\":\n curr += 1\n elif s[i] == \"b\":\n a.append(curr)\n curr = 0\nif curr > 0:\n a.append(curr)\nprod = 1\nfor i in range(len(a)):\n prod *= (a[i] + 2)\n prod = prod % 1000000007\nprint(prod - 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe Fair Nut found a string $s$. The string consists of lowercase Latin letters. The Nut is a curious guy, so he wants to find the number of strictly increasing sequences $p_1, p_2, \\ldots, p_k$, such that: For each $i$ ($1 \\leq i \\leq k$), $s_{p_i} =$ 'a'. For each $i$ ($1 \\leq i < k$), there is such $j$ that $p_i < j < p_{i + 1}$ and $s_j =$ 'b'. \n\n\n\nThe Nut is upset because he doesn't know how to find the number. Help him.\n\n\n\nThis number should be calculated modulo $10^9 + 7$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the string $s$ ($1 \\leq |s| \\leq 10^5$) consisting of lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem\u00a0\u2014 the number of such sequences $p_1, p_2, \\ldots, p_k$ modulo $10^9 + 7$.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Your country has an infinite number of lakes. Initially, all the lakes are empty, but when it rains over the nth lake, the nth lake becomes full of water. If it rains over a lake which is full of water, there will be a flood. Your goal is to avoid the flood in any lake.\n\nGiven an integer array rains where:\n\n\n\nrains[i] > 0 means there will be rains over the rains[i] lake.\n\nrains[i] == 0 means there are no rains this day and you can choose one lake this day and dry it.\n\n\n\nReturn an array ans where:\n\n\n\nans.length == rains.length\n\nans[i] == -1 if rains[i] > 0.\n\nans[i] is the lake you choose to dry in the ith day\u00a0if rains[i] == 0.\n\n\n\nIf there are multiple valid answers return any of them. If it is impossible to avoid flood return an empty array.\n\nNotice that if you chose to dry a full lake, it becomes empty, but if you chose to dry an empty lake, nothing changes. (see example 4)", "responses": { "class Solution:\n def avoidFlood(self, rains: List[int]) -> List[int]:\n fullLake = {}\n dry = {}\n for day, lake in enumerate(rains):\n if lake not in fullLake:\n if lake:\n fullLake[lake]=day\n else:\n if lake:\n dry[fullLake[lake]] = day\n fullLake[lake]=day\n heap=[]\n for day, lake in enumerate(rains):\n if heap and day >= heap[0][0]:\n return []\n if lake:\n if day in dry:\n heapq.heappush(heap, (dry[day], lake))\n rains[day] = -1\n else:\n if heap:\n rains[day] = heapq.heappop(heap)[1]\n else:\n rains[day] = 1\n return rains": 1.0, "class Solution:\n def avoidFlood(self, rains: List[int]) -> List[int]:\n fullLake = {}\n dry = {}\n for day, lake in enumerate(rains):\n if lake not in fullLake:\n if lake:\n fullLake[lake]=day\n else:\n if lake:\n dry[fullLake[lake]] = day\n fullLake[lake]=day\n heap=[]\n for day, lake in enumerate(rains):\n if heap and day >= heap[0][0]:\n return []\n if lake:\n if day in dry:\n heapq.heappush(heap, (dry[day], lake))\n rains[day] = -1\n else:\n if heap:\n rains[day] = heapq.heappop(heap)[1]\n rains[day] = 1 # Bug 1: Reassigning value to rains[day] after already assigning a value\n return rains": 0.0, "class Solution:\n def avoidFlood(self, rains: List[int]) -> List[int]:\n fullLake = {}\n dry = {}\n for day, lake in enumerate(rains):\n if lake not in fullLake:\n if lake:\n fullLake[lake]=day\n else:\n if lake:\n dry[fullLake[lake]] = day\n fullLake[lake]=day\n heap=[]\n for day, lake in enumerate(rains):\n if heap and day >= heap[0][0]:\n return []\n if lake:\n if day in dry:\n heapq.heappush(heap, (dry[day], lake))\n rains[day] = -1\n else:\n if heap:\n rains[day] = heapq.heappop(heap)[1]\n else:\n rains[day] = None # Bug 2: Assigning None instead of -1 when it is not raining\n return rains": 0.0, "class Solution:\n def avoidFlood(self, rains: List[int]) -> List[int]:\n fullLake = {}\n dry = {}\n for day, lake in enumerate(rains):\n if lake not in fullLake:\n if lake:\n fullLake[lake]=day\n else:\n if lake:\n dry[fullLake[lake]] = day\n fullLake[lake]=day\n heap=[]\n for day, lake in enumerate(rains):\n if heap and day >= heap[0][0]:\n return []\n if lake:\n if day in dry:\n heapq.heappush(heap, (dry[day], lake))\n rains[day] = -1\n else:\n if heap:\n rains[day] = heapq.heappop(heap)[1]\n else:\n pass # Bug 3: Not assigning a value to rains[day] when it is not raining, causing an incorrect return value\n return rains": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYour country has an infinite number of lakes. Initially, all the lakes are empty, but when it rains over the nth lake, the nth lake becomes full of water. If it rains over a lake which is full of water, there will be a flood. Your goal is to avoid the flood in any lake.\n\nGiven an integer array rains where:\n\n\n\nrains[i] > 0 means there will be rains over the rains[i] lake.\n\nrains[i] == 0 means there are no rains this day and you can choose one lake this day and dry it.\n\n\n\nReturn an array ans where:\n\n\n\nans.length == rains.length\n\nans[i] == -1 if rains[i] > 0.\n\nans[i] is the lake you choose to dry in the ith day\u00a0if rains[i] == 0.\n\n\n\nIf there are multiple valid answers return any of them. If it is impossible to avoid flood return an empty array.\n\nNotice that if you chose to dry a full lake, it becomes empty, but if you chose to dry an empty lake, nothing changes. (see example 4)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are n people, each person has a unique id between 0 and n-1. Given the arrays watchedVideos and friends, where watchedVideos[i] and friends[i] contain the list of watched videos and the list of friends respectively for the person with id = i.\n\nLevel 1 of videos are all watched videos by your\u00a0friends, level 2 of videos are all watched videos by the friends of your\u00a0friends and so on. In general, the level k of videos are all\u00a0watched videos by people\u00a0with the shortest path exactly equal\u00a0to\u00a0k with you. Given your\u00a0id and the level of videos, return the list of videos ordered by their frequencies (increasing). For videos with the same frequency order them alphabetically from least to greatest.", "responses": { "class Solution:\n def watchedVideosByFriends(self, watchedVideos: List[List[str]], friends: List[List[int]], id: int, level: int) -> List[str]:\n vis = [0 for i in range(len(friends))]\n index = id\n lis = set([id])\n while level>0:\n temp = []\n for i in lis:\n if vis[i] == 0:\n #print(i)\n temp += friends[i]\n vis[i] = 1\n lis = set(temp)\n level -= 1\n dic = dict()\n for i in lis:\n if vis[i] == 0:\n for j in watchedVideos[i]:\n if j in dic:\n dic[j]+=1\n else:\n dic[j] = 1\n dic2 = dict()\n for i in dic:\n if dic[i] in dic2:\n dic2[dic[i]].append(i)\n else:\n dic2[dic[i]] = [i]\n lis = []\n for i in sorted(dic2.keys()):\n lis += sorted(dic2[i])\n return lis": 1.0, "class Solution:\n def watchedVideosByFriends(self, watchedVideos: List[List[str]], friends: List[List[int]], id: int, level: int) -> List[str]:\n # Missing \":\" after \"for i in range(len(friends))\"\n vis = [0 for i in range(len(friends))]\n index = id\n lis = set([id])\n while level>0:\n temp = []\n for i in lis:\n if vis[i] == 0:\n # Missing \"#\" before \"print(i)\"\n print(i)\n temp += friends[i]\n vis[i] = 1\n lis = set(temp)\n level -= 1\n dic = dict()\n for i in lis:\n if vis[i] == 0:\n for j in watchedVideos[i]:\n if j in dic:\n dic[j]+=1\n else:\n dic[j] = 1\n dic2 = dict()\n for i in dic:\n if dic[i] in dic2:\n dic2[dic[i]].append(i)\n else:\n dic2[dic[i]] = [i]\n lis = []\n for i in sorted(dic2.keys()):\n lis += sorted(dic2[i])\n return lis": 0.0, "class Solution:\n def watchedVideosByFriends(self, watchedVideos: List[List[str]], friends: List[List[int]], id: int, level: int) -> List[str]:\n vis = [0 for i in range(len(friends))]\n index = id\n lis = set([id])\n while level>0:\n temp = []\n for i in lis:\n if vis[i] == 0:\n temp += friends[i]\n vis[i] = 1\n lis = set(temp)\n level -= 1\n dic = dict()\n for i in lis:\n if vis[i] == 0:\n for j in watchedVideos[i]:\n # Missing indentation before \"if j in dic:\"\n if j in dic:\n dic[j]+=1\n else:\n dic[j] = 1\n dic2 = dict()\n for i in dic:\n if dic[i] in dic2:\n dic2[dic[i]].append(i)\n else:\n dic2[dic[i]] = [i]\n lis = []\n for i in sorted(dic2.keys()):\n lis += sorted(dic2[i])\n return lis": 0.0, "class Solution:\n def watchedVideosByFriends(self, watchedVideos: List[List[str]], friends: List[List[int]], id: int, level: int) -> List[str]:\n vis = [0 for i in range(len(friends))]\n index = id\n lis = set([id])\n while level>0:\n temp = []\n for i in lis:\n if vis[i] == 0:\n temp += friends[i]\n vis[i] = 1\n lis = set(temp)\n level -= 1\n dic = dict()\n for i in lis:\n if vis[i] == 0:\n for j in watchedVideos[i]:\n if j in dic:\n # Typo: should be subtracting 1 instead of adding 1\n dic[j]-= 1\n else:\n dic[j] = 1\n dic2 = dict()\n for i in dic:\n if dic[i] in dic2:\n dic2[dic[i]].append(i)\n else:\n dic2[dic[i]] = [i]\n lis = []\n for i in sorted(dic2.keys()):\n lis += sorted(dic2[i])\n return lis": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are n people, each person has a unique id between 0 and n-1. Given the arrays watchedVideos and friends, where watchedVideos[i] and friends[i] contain the list of watched videos and the list of friends respectively for the person with id = i.\n\nLevel 1 of videos are all watched videos by your\u00a0friends, level 2 of videos are all watched videos by the friends of your\u00a0friends and so on. In general, the level k of videos are all\u00a0watched videos by people\u00a0with the shortest path exactly equal\u00a0to\u00a0k with you. Given your\u00a0id and the level of videos, return the list of videos ordered by their frequencies (increasing). For videos with the same frequency order them alphabetically from least to greatest.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Sort a linked list in O(n log n) time using constant space complexity.", "responses": { " # class ListNode:\n # def __init__(self, x):\n # self.val = x\n # self.next = None\n \n class Solution:\n def sortList(self, head):\n \"\"\"\n :type head: ListNode\n :rtype: ListNode\n \"\"\"\n arr = []\n p = head\n while p:\n arr.append(p.val)\n p = p.next\n \n arr.sort()\n p = head\n for el in arr:\n p.val = el\n p = p.next\n \n return head": 1.0, "# class ListNode:\n # def __init__(self, x):\n # self.val = x\n # self.next = None\n \n class Solution:\n def sortList(self, head):\n \"\"\"\n :type head: ListNode\n :rtype: ListNode\n \"\"\"\n arr = []\n p = head\n while p:\n arr.append(p.val)\n p = p.next\n \n arr.sort() # The indentation of this line is incorrect\n p = head\n for el in arr:\n p.val = el\n p = p.next\n \n return head": 0.0, "# class ListNode:\n # def __init__(self, x):\n # self.val = x\n # self.next = None\n \n class Solution:\n def sortList(self, head):\n \"\"\"\n :type head: ListNode\n :rtype: ListNode\n \"\"\"\n arr = []\n p = head\n while p:\n arr.append(p.val)\n p = p.next\n \n arr.sort()\n q = head # The variable name is incorrect\n for el in arr:\n p.val = el\n p = p.next\n \n return head": 0.0, "# class ListNode:\n # def __init__(self, x):\n # self.val = x\n # self.next = None\n \n class Solution:\n def sortList(self, head):\n \"\"\"\n :type head: ListNode\n :rtype: ListNode\n \"\"\"\n arr = []\n p = head\n while p:\n arr.append(p.val)\n p = p.next\n \n arr.sort()\n p = head\n for el in arr:\n p.val = el\n q = p.next # The line is missing a character\n p = q.next\n \n return head": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSort a linked list in O(n log n) time using constant space complexity.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The string \"PAYPALISHIRING\" is written in a zigzag pattern on a given number of rows like this: (you may want to display this pattern in a fixed font for better legibility)\n\n\n\n\n\nP A H N\n\nA P L S I I G\n\nY I R\n\n\n\n\n\nAnd then read line by line: \"PAHNAPLSIIGYIR\"\n\n\n\nWrite the code that will take a string and make this conversion given a number of rows:\n\n\n\n\n\nstring convert(string s, int numRows);", "responses": { "class Solution(object):\n def convert(self, s, numRows):\n \"\"\"\n :type s: str\n :type numRows: int\n :rtype: str\n \"\"\"\n if numRows == 1:\n return s\n zigzag = ['' for i in range(numRows)] \n row = 0 \n step = 1 \n for c in s:\n if row == 0:\n step = 1\n if row == numRows - 1:\n step = -1\n zigzag[row] += c\n row += step\n return ''.join(zigzag)": 1.0, "class Solution(object):\n def convert(self, s, numRows):\n if numRows == 1:\n return s\n zigzag = ['' for i in range(numRows)] \n row = 0 \n step = 1 \n for c in s:\n if row == 0:\n step = 1\n if row == numRows - 1:\n step = -1\n zigzag[row] += c\n-\n row += step\n return ''.join(zigzag)": 0.0, "class Solution(object):\n def convert(self, s, numRows):\n \"\"\"\n :type s: str\n :type numRows: int\n :rtype: str\n \"\"\"\n if numRows == 1:\n return s\n zigzag = ['' for i in range(numRows)] \n row = 0 \n step = 1 \n for c in s:\n if row == 0:\n step = 2 # Changing step value to 2\n if row == numRows - 1:\n step = -1\n zigzag[row] += c\n row += step\n return ''.join(zigzag)": 0.0, "class Solution(object):\n def convert(self, s, numRows):\n \"\"\"\n :type s: str\n :type numRows: int\n :rtype: str\n \"\"\"\n if numRows == 1:\n return s\n zigzag = ['' for i in range(numRows)] \n row = 0 \n step = 1 \n for c in s:\n if row == 1: # Changing the condition to row == 1\n step = 1\n if row == numRows - 1:\n step = -1\n zigzag[row] += c\n row += step + 1 # Incrementing value of step by 1\n return ''.join(zigzag)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe string \"PAYPALISHIRING\" is written in a zigzag pattern on a given number of rows like this: (you may want to display this pattern in a fixed font for better legibility)\n\n\n\n\n\nP A H N\n\nA P L S I I G\n\nY I R\n\n\n\n\n\nAnd then read line by line: \"PAHNAPLSIIGYIR\"\n\n\n\nWrite the code that will take a string and make this conversion given a number of rows:\n\n\n\n\n\nstring convert(string s, int numRows);\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of digits, you can\u00a0write numbers using each digits[i] as many times as we want.\u00a0 For example, if digits = ['1','3','5'], we may write numbers such as '13', '551', and '1351315'.\n\nReturn the number of positive integers that can be generated\u00a0that are less than or equal to a given integer n.", "responses": { "class Solution:\n def atMostNGivenDigitSet(self, digits: List[str], n: int) -> int:\n \n count = 0\n length = 1\n n_str = str(n)\n while length < len(n_str):\n count+= len(digits)**length\n length+=1\n digits_sorted = sorted(digits)\n ## now length should equal to len(n), we compare the number with same length\n current_digit = 0\n while current_digit < length:\n for digit in digits_sorted:\n next_round = False\n if digit < n_str[current_digit]:\n count+=len(digits)**(length-current_digit-1)\n elif digit > n_str[current_digit]:\n return count\n else:\n if current_digit == length-1:\n return count+1\n else: \n current_digit+=1\n next_round = True\n break\n if not next_round:\n return count\n return count\n ": 1.0, "class Solution:\n def atMostNGivenDigitSet(self, digits: List[str], n: int) -> int:\n \n count = 0\n length = 1\n n_str = str(n)\n while length < len(n_str):\n count+= len(digits)**length\n length+=1\n digits_sorted = sorted(digits)\n ## now length should equal to len(n), we compare the number with same length\n current_digit = 0\n while current_digit < length:\n for digit in digits_sorted:\n next_round = False\n if digit < n_str[current_digit]:\n count+=len(digits)**(length-current_digit-1)\n elif digit >= n_str[current_digit]: # Bug: changed the comparison operator from > to >=\n return count\n else:\n if current_digit == length-1:\n return count+1\n else: \n current_digit+=1\n next_round = True\n break\n if not next_round:\n return count\n return count": 0.0, "class Solution:\n def atMostNGivenDigitSet(self, digits: List[str], n: int) -> int:\n \n count = 0\n length = 1\n n_str = str(n)\n while length < len(n_str):\n count+= len(digits)**length\n length+=1\n digits_sorted = sorted(digits)\n ## now length should equal to len(n), we compare the number with same length\n current_digit = 0\n while current_digit <= length: # Bug: changed the comparison operator from < to <=\n for digit in digits_sorted:\n next_round = False\n if digit < n_str[current_digit]:\n count+=len(digits)**(length-current_digit-1)\n elif digit > n_str[current_digit]:\n return count\n else:\n if current_digit == length-1:\n return count+1\n else: \n current_digit+=1\n next_round = True\n break\n if not next_round:\n return count\n return count": 0.0, "class Solution:\n def atMostNGivenDigitSet(self, digits: List[str], n: int) -> int:\n \n count = 0\n length = 1\n n_str = str(n)\n while length < len(n_str):\n count+= len(digits)**length\n length+=1\n digits_sorted = sorted(digits)\n ## now length should equal to len(n), we compare the number with same length\n current_digit = 0\n while current_digit < length:\n for digit in digits_sorted:\n next_round = False\n if digit <= n_str[current_digit]: # Bug: changed the comparison operator from < to <=\n count+=len(digits)**(length-current_digit-1)\n elif digit > n_str[current_digit]:\n return count\n else:\n if current_digit == length-1:\n return count+1\n else: \n current_digit+=1\n next_round = True\n break\n if not next_round:\n return count\n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of digits, you can\u00a0write numbers using each digits[i] as many times as we want.\u00a0 For example, if digits = ['1','3','5'], we may write numbers such as '13', '551', and '1351315'.\n\nReturn the number of positive integers that can be generated\u00a0that are less than or equal to a given integer n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary tree containing digits from 0-9 only, each root-to-leaf path could represent a number.\n\n\n\nAn example is the root-to-leaf path 1->2->3 which represents the number 123.\n\n\n\nFind the total sum of all root-to-leaf numbers.\n\n\n\nNote:\u00a0A leaf is a node with no children.\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3]\n\n 1\n\n / \\\n\n 2 3\n\nOutput: 25\n\nExplanation:\n\nThe root-to-leaf path 1->2 represents the number 12.\n\nThe root-to-leaf path 1->3 represents the number 13.\n\nTherefore, sum = 12 + 13 = 25.\n\n\n\nExample 2:\n\n\n\n\n\nInput: [4,9,0,5,1]\n\n 4\n\n / \\\n\n 9 0\n\n\u00a0/ \\\n\n5 1\n\nOutput: 1026\n\nExplanation:\n\nThe root-to-leaf path 4->9->5 represents the number 495.\n\nThe root-to-leaf path 4->9->1 represents the number 491.\n\nThe root-to-leaf path 4->0 represents the number 40.\n\nTherefore, sum = 495 + 491 + 40 = 1026.", "responses": { " # class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def sumNumbers(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n def dfs(node, cur_num):\n if node is None: return 0\n my_num = cur_num * 10 + node.val\n if node.left is None and node.right is None: return my_num\n return dfs(node.left, my_num) + dfs(node.right, my_num)\n \n return dfs(root,0)": 1.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def sumNumbers(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n def dfs(node, cur_num):\n if node is None: return 0\n my_num = cur_num * 10 + node.val\n if node.left is None and node.right is None: return my_num\n return dfs(node.right, my_num) + dfs(node.left, my_num)\n \n return dfs(root,0)": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def sumNumbers(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n def dfs(node, cur_num):\n if node is None: return 0\n my_num = cur_num + node.val\n if node.left is None and node.right is None: return my_num\n return dfs(node.left, my_num) + dfs(node.right, my_num)\n \n return dfs(root,0)": 0.0, "# class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution:\n def sumNumbers(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: int\n \"\"\"\n def dfs(node, cur_num):\n if node is None: return 0\n my_num = cur_num * 10 + node.val\n if node.left is None or node.right is None: return my_num\n return dfs(node.left, my_num) + dfs(node.right, my_num)\n \n return dfs(root,0)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary tree containing digits from 0-9 only, each root-to-leaf path could represent a number.\n\n\n\nAn example is the root-to-leaf path 1->2->3 which represents the number 123.\n\n\n\nFind the total sum of all root-to-leaf numbers.\n\n\n\nNote:\u00a0A leaf is a node with no children.\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3]\n\n 1\n\n / \\\n\n 2 3\n\nOutput: 25\n\nExplanation:\n\nThe root-to-leaf path 1->2 represents the number 12.\n\nThe root-to-leaf path 1->3 represents the number 13.\n\nTherefore, sum = 12 + 13 = 25.\n\n\n\nExample 2:\n\n\n\n\n\nInput: [4,9,0,5,1]\n\n 4\n\n / \\\n\n 9 0\n\n\u00a0/ \\\n\n5 1\n\nOutput: 1026\n\nExplanation:\n\nThe root-to-leaf path 4->9->5 represents the number 495.\n\nThe root-to-leaf path 4->9->1 represents the number 491.\n\nThe root-to-leaf path 4->0 represents the number 40.\n\nTherefore, sum = 495 + 491 + 40 = 1026.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You're given a list of n strings a_1, a_2, ..., a_{n}. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.\n\n\n\nGiven the list of strings, output the lexicographically smallest concatenation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n \u2014 the number of strings (1 \u2264 n \u2264 5\u00b710^4).\n\n\n\nEach of the next n lines contains one string a_{i} (1 \u2264 |a_{i}| \u2264 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5\u00b710^4.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only string a \u2014 the lexicographically smallest string concatenation.", "responses": { "from functools import cmp_to_key\ndef cmpEqLen(a, b):\n if a < b:\n return -1\n elif a > b:\n return 1\n else:\n return 0\ndef compare(a, b):\n alen = len(a)\n blen = len(b)\n if alen == blen:\n return cmpEqLen(a, b)\n l = min(alen, blen)\n c = cmpEqLen(a[:l], b[:l])\n if c != 0:\n return c\n if alen > blen:\n return -compare(a[:l], a[l:])\n else:\n return compare(b[:l], b[l:])\nN = int(input())\narr = [input() for _ in range(N)]\narr.sort(key=cmp_to_key(compare))\nprint(''.join(arr))": 1.0, "from functools import cmp_to_key\ndef cmpEqLen(a, b):\n if a > b:\n return -1\n elif a < b:\n return 1\n else:\n return 0\ndef compare(a, b):\n alen = len(a)\n blen = len(b)\n if alen == blen:\n return cmpEqLen(a, b)\n l = min(alen, blen)\n c = cmpEqLen(a[:l], b[:l])\n if c != 0:\n return c\n if alen > blen:\n return -compare(a[:l], a[l:])\n else:\n return compare(b[:l], b[l:])\nN = int(input())\narr = [input() for _ in range(N)]\narr.sort(key=cmp_to_key(compare))\nprint(''.join(arr))": 0.0, "from functools import cmp_to_key\ndef cmpEqLen(a, b):\n if a < b:\n return 1\n elif a > b:\n return -1\n else:\n return 0\ndef compare(a, b):\n alen = len(a)\n blen = len(b)\n if alen == blen:\n return cmpEqLen(a, b)\n l = min(alen, blen)\n c = cmpEqLen(a[:l], b[:l])\n if c != 0:\n return c\n if alen > blen:\n return -compare(a[:l], a[l:])\n else:\n return compare(b[:l], b[l:])\nN = int(input())\narr = [input() for _ in range(N)]\narr.sort(key=cmp_to_key(compare))\nprint(''.join(arr))": 0.0, "from functools import cmp_to_key\ndef cmpEqLen(a, b):\n if a < b:\n return -1\n elif a > b:\n return 1\n else:\n return 1\ndef compare(a, b):\n alen = len(a)\n blen = len(b)\n if alen == blen:\n return cmpEqLen(a, b)\n l = min(alen, blen)\n c = cmpEqLen(a[:l], b[:l])\n if c != 0:\n return c\n if alen > blen:\n return -compare(a[:l], a[l:])\n else:\n return compare(b[:l], b[l:])\nN = int(input())\narr = [input() for _ in range(N)]\narr.sort(key=cmp_to_key(compare))\nprint(''.join(arr))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou're given a list of n strings a_1, a_2, ..., a_{n}. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.\n\n\n\nGiven the list of strings, output the lexicographically smallest concatenation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n \u2014 the number of strings (1 \u2264 n \u2264 5\u00b710^4).\n\n\n\nEach of the next n lines contains one string a_{i} (1 \u2264 |a_{i}| \u2264 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5\u00b710^4.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only string a \u2014 the lexicographically smallest string concatenation.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more.\n\n\n\nPaul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers: n and p (1 \u2264 n \u2264 1000; 1 \u2264 p \u2264 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition).\n\n\n\n\n\n-----Output-----\n\n\n\nIf the lexicographically next tolerable string of the same length exists, print it. Otherwise, print \"NO\" (without the quotes).", "responses": { "3\nimport sys\ndef solve(s, k):\n l = len(s)\n for i in range(l-1, -1, -1):\n prev = s[max(i-2, 0):i]\n z = s[i] + 1\n while z in prev:\n z += 1\n if z >= k:\n continue\n # Gotcha!\n ret = s[:i] + [z]\n while len(ret) < l:\n prev = ret[max(len(ret)-2, 0):len(ret)]\n z = 0\n while z in prev:\n z += 1\n ret.append(z)\n return ret\n return None\ndef __starting_point():\n l, k = list(map(int, sys.stdin.readline().split()))\n s = [ord(c) - ord('a') for c in sys.stdin.readline().strip()]\n ans = solve(s, k)\n if ans is None:\n print('NO')\n else:\n print(''.join(chr(ord('a') + x) for x in ans))\n__starting_point()": 1.0, "import sys\ndef solve(s, k):\n l = len(s)\n for i in range(l-1, 0, -1):\n prev = s[max(i-2, 0):i]\n z = s[i] + 1\n while z in prev:\n z += 1\n if z >= k:\n continue\n ret = s[:i] + [z]\n while len(ret) < l:\n prev = ret[max(len(ret)-2, 0):len(ret)]\n z = 0\n while z in prev:\n z += 1\n ret.append(z)\n return ret\n return None\ndef __starting_point():\n l, k = list(map(int, sys.stdin.readline().split()))\n s = [ord(c) - ord('a') for c in sys.stdin.readline().strip()]\n ans = solve(s, k)\n if ans is None:\n print('NO')\n else:\n print(''.join(chr(ord('a') + x) for x in ans))\n__starting_point()": 0.0, "import sys\ndef solve(s, k):\n l = len(s)\n for i in range(l-1, -1, -1):\n prev = s[max(i-1, 0):i]\n z = s[i] + 1\n while z in prev:\n z += 1\n if z >= k:\n continue\n ret = s[:i] + [z]\n while len(ret) < l:\n prev = ret[max(len(ret)-2, 0):len(ret)]\n z = 0\n while z in prev:\n z += 1\n ret.append(z)\n return ret\n return None\ndef __starting_point():\n l, k = list(map(int, sys.stdin.readline().split()))\n s = [ord(c) - ord('a') for c in sys.stdin.readline().strip()]\n ans = solve(s, k)\n if ans is None:\n print('NO')\n else:\n print(''.join(chr(ord('a') + x) for x in ans))\n__starting_point()": 0.0, "import sys\ndef solve(s, k):\n l = len(s)\n for i in range(l-1, -1, -1):\n prev = s[max(i-2, 0):i]\n z = s[i]\n while z in prev:\n z += 1\n if z >= k:\n continue\n ret = s[:i] + [z]\n while len(ret) < l:\n prev = ret[max(len(ret)-2, 0):len(ret)]\n z = 0\n while z in prev:\n z += 1\n ret.append(z)\n return ret\n return None\ndef __starting_point():\n l, k = list(map(int, sys.stdin.readline().split()))\n s = [ord(c) - ord('a') for c in sys.stdin.readline().strip()]\n ans = solve(s, k)\n if ans is None:\n print('NO')\n else:\n print(''.join(chr(ord('a') + x) for x in ans))\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPaul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more.\n\n\n\nPaul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers: n and p (1 \u2264 n \u2264 1000; 1 \u2264 p \u2264 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition).\n\n\n\n\n\n-----Output-----\n\n\n\nIf the lexicographically next tolerable string of the same length exists, print it. Otherwise, print \"NO\" (without the quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.", "responses": { "class Solution:\n def expandIsland(self, grid, i, j):\n edges = [(i, j)]\n while edges:\n next_edges = []\n for edge in edges:\n ei, ej = edge\n if ei >= 0 and ei < len(grid) and ej >= 0 and ej < len(grid[ei]) and grid[ei][ej] == '1':\n grid[ei][ej] = '2'\n next_edges.append((ei + 1, ej))\n next_edges.append((ei, ej + 1))\n next_edges.append((ei - 1, ej))\n next_edges.append((ei, ej - 1))\n edges = next_edges\n \n def numIslands(self, grid):\n \"\"\"\n :type grid: List[List[str]]\n :rtype: int\n \"\"\"\n island_count = 0\n for i in range(len(grid)):\n for j in range(len(grid[i])):\n if grid[i][j] == '1':\n island_count += 1\n self.expandIsland(grid, i, j)\n return island_count": 1.0, "class Solution:\n def expandIsland(self, grid, i, j):\n edges = [(i, j)]\n while edges:\n edges = next_edges\n for edge in edges:\n ei, ej = edge\n if ei >= 0 and ei < len(grid) and ej >= 0 and ej < len(grid[ei]) and grid[ei][ej] == '1':\n grid[ei][ej] = '2'\n next_edges.append((ei + 1, ej))\n next_edges.append((ei, ej + 1))\n next_edges.append((ei - 1, ej))\n next_edges.append((ei, ej - 1))\n \n def numIslands(self, grid):\n \"\"\"\n :type grid: List[List[str]]\n :rtype: int\n \"\"\"\n island_count = 0\n for i in range(len(grid)):\n for j in range(len(grid[i])):\n if grid[i][j] == '1':\n island_count += 1\n self.expandIsland(grid, i, j)\n return island_count": 0.0, "class Solution:\n def expandIsland(self, grid, i, j):\n edges = [(i, j)]\n while edges:\n next_edges = []\n for edge in edges:\n ei, ej = edge\n if ei >= 0 and ei < len(grid) and ej >= 0 and ej < len(grid[ei]) and grid[ei][ej] == '1':\n grid[ei][ej] = '2'\n next_edges.append((ei + 1, ej)\n next_edges.append((ei, ej + 1))\n next_edges.append((ei - 1, ej))\n next_edges.append((ei, ej - 1))\n edges = next_edges\n \n def numIslands(self, grid):\n island_count = 0\n for i in range(len(grid)):\n for j in range(len(grid[i])):\n if grid[i][j] == '1':\n island_count += 1\n self.expandIsland(grid, i, j)\n return island_count": 0.0, "class Solution:\n def expandIsland(self, grid, i, j):\n edges = [(i, j)]\n while edges:\n next_edges = []\n for edge in edges:\n ei, ej = edges\n if ei >= 0 and ei < len(grid) and ej >= 0 and ej < len(grid[ei]) and grid[ei][ej] == '1':\n grid[ei][ej] = '2'\n next_edges.append((ei + 1, ej))\n next_edges.append((ei, ej + 1))\n next_edges.append((ei - 1, ej))\n next_edges.append((ei, ej - 1)\n edges = next_edges\n \n def numIslands(self, grid):\n \"\"\"\n :type grid: List[List[str]]\n :rtype: int\n \"\"\"\n island_count = 0\n for i in range(len(grid)):\n for j in range(len(grid[i])):\n if grid[i][j] == '1':\n island_count += 1\n self.expandIsland(grid, i, j)\n return island_count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.\n\n\n\n(i.e., \u00a0[0,1,2,4,5,6,7]\u00a0might become \u00a0[4,5,6,7,0,1,2]).\n\n\n\nFind the minimum element.\n\n\n\nYou may assume no duplicate exists in the array.", "responses": { "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) <= 3:\n return min(nums)\n lo = 0\n hi = len(nums) - 1\n mid = (hi + lo) // 2\n if nums[mid] < nums[mid-1] and nums[mid] < nums[mid+1]:\n return nums[mid]\n if nums[mid] > nums[lo] and nums[mid] > nums[hi]:\n # pivot on the right side\n return self.findMin(nums[mid:])\n #elif nums[mid] < nums[lo] and nums[mid] < nums[hi]:\n else:\n #pivot on the left side\n return self.findMin(nums[:mid+1])": 1.0, "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) <= 3:\n return min(nums)\n lo = 0\n hi = len(nums) - 1\n mid = (hi + lo) // 2\n if nums[mid] < nums[mid-1] and nums[mid] < nums[mid+1]:\n return nums[mid]\n if nums[mid] > nums[lo] and nums[mid] > nums[hi]\n # pivot on the right side\n return self.findMin(nums[mid:])\n #elif nums[mid] < nums[lo] and nums[mid] < nums[hi]:\n else:\n #pivot on the left side\n return self.findMin(nums[:mid+1])": 0.0, "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) <= 3:\n return min(nums)\n lo = 0\n hi = len(nums) - 1\n mid = (hi + lo) // 2\n if nums[mid] < nums[mid-1] and nums[mid] < nums[mid+1]:\n return nums[mid]\n if nums[mid] > nums[lo] and nums[mid] > nums[hi]:\n \n return self.findMin(nums[mid:])\n #elif nums[mid] < nums[lo] and nums[mid] < nums[hi]:\n else:\n \n return self.findMin(nums[:mid+1])": 0.0, "class Solution:\n def findMin(self, nums):\n \n lo = 0\n hi = len(nums) - 1\n mid = (hi + lo) // 2\n if nums[mid] < nums[mid-1] and nums[mid] < nums[mid+1]:\n return nums[mid]\n if nums[mid] > nums[lo] and nums[mid] > nums[hi]:\n # pivot on the right side\n return self.findMin(nums[mid:])\n #elif nums[mid] < nums[lo] and nums[mid] < nums[hi]:\n else:\n #pivot on the left side\n return self.findMin(nums[:mid+1])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSuppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.\n\n\n\n(i.e., \u00a0[0,1,2,4,5,6,7]\u00a0might become \u00a0[4,5,6,7,0,1,2]).\n\n\n\nFind the minimum element.\n\n\n\nYou may assume no duplicate exists in the array.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In LOL world, there is a hero called Teemo and his attacking can make his enemy Ashe be in poisoned condition. Now, given the Teemo's attacking ascending time series towards Ashe and the poisoning time duration per Teemo's attacking, you need to output the total time that Ashe is in poisoned condition.\n\n\n\n\n\nYou may assume that Teemo attacks at the very beginning of a specific time point, and makes Ashe be in poisoned condition immediately.", "responses": { "class Solution:\n def findPoisonedDuration(self, timeSeries, duration):\n \"\"\"\n :type timeSeries: List[int]\n :type duration: int\n :rtype: int\n \"\"\"\n if not timeSeries:\n return 0\n prev = timeSeries[0]\n ret = 0\n count = 0\n for t in timeSeries[1:]:\n diff = t - prev\n if diff > duration:\n count += 1\n else:\n ret += diff \n prev = t;\n ret += (count+1)*duration \n return ret": 1.0, "class Solution:\n def findPoisonedDuration(self, timeSeries, duration):\n if !timeSeries: # Syntax error, \"!\" cannot be used as a negation operator, should be \"not\"\n return 0\n prev = timeSeries[0]\n ret = 0\n count = 0\n for t in timeSeries[1:]:\n diff = t - prev\n if diff > duration:\n count += 1\n else:\n ret += diff\n prev = t;\n ret += (count + 1) * duration \n return ret": 0.0, "class Solution:\n def findPoisonedDuration(self, timeSeries, duration):\n if not timeSeries:\n return 0\n prev = timeSeries[0]\n ret = 0\n count = 0\n for t in timeSeries[1:]:\n diff = t - prev\n if diff > duration:\n count == 1 # Wrong comparison operator, should be \"=\" instead of \"==\"\n else:\n ret += diff \n prev = t;\n ret += (count + 1) * duration \n return ret": 0.0, "class Solution:\n def findPoisonedDuration(self, timeSeries, duration):\n if not timeSeries:\n return 0\n prev = timeSeries[0]\n ret = 0\n count = 0\n for t in timeSeries[1:]:\n diff = t - prev\n if diff < duration: # Wrong inequality, should be \">=\" instead of \"<\"\n count += 1\n else:\n ret += diff \n prev = t;\n ret += (count + 1) * duration \n return ret": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn LOL world, there is a hero called Teemo and his attacking can make his enemy Ashe be in poisoned condition. Now, given the Teemo's attacking ascending time series towards Ashe and the poisoning time duration per Teemo's attacking, you need to output the total time that Ashe is in poisoned condition.\n\n\n\n\n\nYou may assume that Teemo attacks at the very beginning of a specific time point, and makes Ashe be in poisoned condition immediately.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a program that will calculate the number of trailing zeros in a factorial of a given number.\n\n\n\n`N! = 1 * 2 * 3 * ... * N`\n\n\n\nBe careful `1000!` has 2568 digits...\n\n\n\nFor more info, see: http://mathworld.wolfram.com/Factorial.html \n\n\n\n## Examples\n\n\n\n```python\n\nzeros(6) = 1\n\n# 6! = 1 * 2 * 3 * 4 * 5 * 6 = 720 --> 1 trailing zero\n\n\n\nzeros(12) = 2\n\n# 12! = 479001600 --> 2 trailing zeros\n\n```\n\n\n\n*Hint: You're not meant to calculate the factorial. Find another way to find the number of zeros.*", "responses": { "def zeros(n):\n \"\"\"\n No factorial is going to have fewer zeros than the factorial of a smaller\n number.\n Each multiple of 5 adds a 0, so first we count how many multiples of 5 are\n smaller than `n` (`n // 5`).\n Each multiple of 25 adds two 0's, so next we add another 0 for each multiple\n of 25 smaller than n.\n We continue on for all powers of 5 smaller than (or equal to) n.\n \"\"\"\n pow_of_5 = 5\n zeros = 0\n \n while n >= pow_of_5:\n zeros += n // pow_of_5\n pow_of_5 *= 5\n \n return zeros": 1.0, "def zeros(n):\n \"\"\"\n No factorial is going to have fewer zeros than the factorial of a smaller\n number.\n Each multiple of 4 adds a 0, so first we count how many multiples of 4 are\n smaller than `n` (`n // 4`).\n Each multiple of 25 adds two 0's, so next we add another 0 for each multiple\n of 25 smaller than n.\n We continue on for all powers of 5 smaller than (or equal to) n.\n \"\"\"\n pow_of_5 = 5\n zeros = 0\n \n while n >= pow_of_5:\n zeros += n // pow_of_5\n pow_of_5 *= 5\n \n return zeros": 0.0, "def zeros(n):\n \"\"\"\n No factorial is going to have fewer zeros than the factorial of a smaller\n number.\n Each multiple of 5 adds a 0, so first we count how many multiples of 5 are\n smaller than `n` (`n // 5`).\n Each multiple of 15 adds two 0's, so next we add another 0 for each multiple\n of 15 smaller than n.\n We continue on for all powers of 5 smaller than (or equal to) n.\n \"\"\"\n pow_of_5 = 5\n zeros = 0\n \n while n >= pow_of_5:\n zeros += n // pow_of_5\n pow_of_5 *= 5\n \n return zeros": 0.0, "def zeros(n):\n \"\"\"\n No factorial is going to have fewer zeros than the factorial of a smaller\n number.\n Each multiple of 5 adds a 0, so first we count how many multiples of 5 are\n smaller than `n` (`n // 5`).\n Each multiple of 25 adds two 0's, so next we add another 1 for each multiple\n of 25 smaller than n.\n We continue on for all powers of 5 smaller than (or equal to) n.\n \"\"\"\n pow_of_5 = 5\n zeros = 0\n \n while n >= pow_of_5:\n zeros += 1\n pow_of_5 *= 5\n \n return zeros": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a program that will calculate the number of trailing zeros in a factorial of a given number.\n\n\n\n`N! = 1 * 2 * 3 * ... * N`\n\n\n\nBe careful `1000!` has 2568 digits...\n\n\n\nFor more info, see: http://mathworld.wolfram.com/Factorial.html \n\n\n\n## Examples\n\n\n\n```python\n\nzeros(6) = 1\n\n# 6! = 1 * 2 * 3 * 4 * 5 * 6 = 720 --> 1 trailing zero\n\n\n\nzeros(12) = 2\n\n# 12! = 479001600 --> 2 trailing zeros\n\n```\n\n\n\n*Hint: You're not meant to calculate the factorial. Find another way to find the number of zeros.*\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Implement a basic calculator to evaluate a simple expression string.\n\n\n\nThe expression string contains only non-negative integers, +, -, *, / operators and empty spaces . The integer division should truncate toward zero.", "responses": { "class Solution:\n def calculate(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n \n if not s:\n return 0\n \n pre_op = '+'\n stack = [0]\n cur_num = 0\n digits = '0123456789'\n s += '#'\n \n for c in s:\n if c == ' ':\n continue\n \n if c in digits:\n cur_num = cur_num * 10 + int(c)\n continue\n \n if pre_op == '-':\n cur_num *= -1\n elif pre_op == '*':\n cur_num *= stack.pop()\n elif pre_op == '/':\n if cur_num == 0:\n return None\n \n pre_num = stack.pop()\n flag = 1 if pre_num > 0 else -1\n cur_num = abs(pre_num) // cur_num * flag\n \n stack.append(cur_num)\n pre_op = c\n cur_num = 0\n \n return sum(stack)\n \n \n ": 1.0, "class Solution:\n def calculate(self, s):\n if not s:\n return 0\n pre_op = '+'\n stack = [0]\n cur_num = 0\n digits = '0123456789'\n s += '#'\n \n for c in s:\n if c == ' ':\n continue\n \n if c in digits:\n cur_num = cur_num * 10 + int(c)\n continue\n \n if pre_op == '-':\n cur_num *= -1\n elif pre_op == '*':\n cur_num *= stack.pop()\n elif pre_op == '/':\n if cur_num == 0:\n return None\n pre_num = stack.pop()\n flag = 1 if pre_num > 0 else -1\n cur_num = abs(pre_num) // cur_num * flag\n stack.append(cur_num)\n pre_op = c\n \n return sum(stack)": 0.0, "class Solution:\n def calculate(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n if not s:\n return 0\n pre_op = '+'\n stack = [0]\n cur_num = 0\n digits = '0123456789'\n s += '#'\n \n for c in s:\n if c == ' ':\n continue\n \n if c in digits:\n cur_num = cur_num * 10 + int(c)\n continue\n \n if pre_op == '-':\n cur_num *= -1\n elif pre_op == '*':\n cur_num *= stack.pop()\n elif pre_op == '+': # bug: incorrect symbol\n if cur_num == 0:\n return None\n pre_num = stack.pop()\n flag = 1 if pre_num > 0 else -1\n cur_num = abs(pre_num) // cur_num * flag\n stack.append(cur_num)\n pre_op = c\n \n return sum(stack)": 0.0, "class Solution:\n def calculate(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n if not s:\n return 0\n pre_op = '+'\n stack = [0]\n cur_num = 0\n digits = '0123456789'\n s += '#'\n \n for c in s:\n if c == ' ':\n continue\n \n if c in digits:\n cur_num = cur_num * 10 + int(c)\n continue\n \n if pre_op == '-':\n cur_num *= -1\n elif pre_op == '*':\n cur_num *= stack.pop()\n elif pre_op == '/':\n if cur_num == 0: # bug: handle division by zero\n return None\n pre_num = stack.pop()\n flag = 1 if pre_num > 0 else -1\n cur_num = abs(pre_num) // cur_num * flag\n stack.append(cur_num)\n pre_op = c\n \n return sum(stack)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nImplement a basic calculator to evaluate a simple expression string.\n\n\n\nThe expression string contains only non-negative integers, +, -, *, / operators and empty spaces . The integer division should truncate toward zero.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of positive integers nums, remove the smallest subarray (possibly empty) such that the sum of the remaining elements is divisible by p. It is not allowed to remove the whole array.\n\nReturn the length of the smallest subarray that you need to remove, or -1 if it's impossible.\n\nA subarray is defined as a contiguous block of elements in the array.", "responses": { "class Solution:\n def minSubarray(self, nums: List[int], p: int) -> int:\n need = sum(nums) % p\n if need == 0:\n return 0\n pos = {0: -1}\n total = 0\n ans = float('inf')\n for i, num in enumerate(nums):\n total = (total + num) % p\n target = (total - need) % p\n if target in pos:\n ans = min(ans, i - pos[target])\n pos[total] = i\n return ans if ans < len(nums) else -1": 1.0, "class Solution:\n def minSubarray(self, nums: List[int], p: int) -> int:\n need = sum(nums) % p\n if need == 0:\n return 0\n pos = {0: -1}\n total = 0\n ans = float('inf')\n for i, num in enumerate(nums):\n total = (total + num) % p\n target = (total + need) % p # Changed '-' to '+'\n if target in pos:\n ans = min(ans, i - pos[target])\n pos[total] = i\n return ans if ans < len(nums) else -1": 0.0, "class Solution:\n def minSubarray(self, nums: List[int], p: int) -> int:\n need = sum(nums) % p\n if need == 0:\n return 0\n pos = {0: -1}\n total = 0\n ans = float('inf')\n for i, num in enumerate(nums):\n total = (total + num) # Removed '% p' for incorrect calculation\n target = (total - need) % p\n if target in pos:\n ans = min(ans, i - pos[target])\n pos[total] = i\n return ans if ans < len(nums) else -1": 0.0, "class Solution:\n def minSubarray(self, nums: List[int], p: int) -> int:\n need = sum(nums) % p\n if need == 0:\n return 0\n pos = {0: -1}\n total = 0\n ans = float('inf')\n for i, num in enumerate(nums):\n total = (total + num) % p\n target = (total - need) % p\n if target in pos:\n ans = min(ans, i + pos[target]) # Changed '-' to '+'\n pos[total] = i\n return ans if ans < len(nums) else -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of positive integers nums, remove the smallest subarray (possibly empty) such that the sum of the remaining elements is divisible by p. It is not allowed to remove the whole array.\n\nReturn the length of the smallest subarray that you need to remove, or -1 if it's impossible.\n\nA subarray is defined as a contiguous block of elements in the array.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array nums of n integers where n > 1, \u00a0return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3,4]\n\nOutput: [24,12,8,6]\n\n\n\n\n\nNote: Please solve it without division and in O(n).\n\n\n\nFollow up:\n\nCould you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)", "responses": { "class Solution:\n def productExceptSelf(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[int]\n \"\"\"\n nums0 = nums.copy()\n son = 1\n if 0 in nums0:\n nums0.remove(0)\n for i in nums0:\n son *= i\n \n \n pro = 1\n for i in nums:\n pro *= i\n result = []\n for i in nums:\n if i == 0:\n result.append(son)\n else:\n result.append(pro//i)\n return result": 1.0, "class Solution:\n def productExceptSelf(self, nums):\n nums0 = nums.copy()\n son = 1\n if 0 in nums0:\n nums0.remove(0)\n for i in nums0:\n son *= i\n pro = 1\n for i in nums:\n pro *= i\n result = []\n for i in nums:\n if i == 0:\n result.append(son)\n else:\n result.append(pro/i) # Bug: Division instead of multiplication\n return result": 0.0, "class Solution:\n def productExceptSelf(self, nums):\n nums0 = nums.copy()\n son = 1\n if 0 in nums0:\n nums0.remove(0)\n for i in nums0:\n son *= i\n pro = 1\n for i in nums:\n pro *= i\n if pro == 0: # Bug: Incorrect placement of if statement inside the loop\n break\n result = []\n for i in nums:\n if i == 0:\n result.append(son)\n else:\n result.append(pro//i)\n return result": 0.0, "class Solution:\n def productExceptSelf(self, nums):\n nums0 = nums.copy()\n son = 1\n if 0 in nums0:\n nums0.remove(0)\n for i in nums0:\n son *= i\n pro = 1\n for i in nums: \n pro *= i\n result = []\n for i in nums:\n if i == 0:\n result.append(son)\n else:\n result.remove(pro//i) # Bug: Removing the incorrect value from the result list\n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array nums of n integers where n > 1, \u00a0return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3,4]\n\nOutput: [24,12,8,6]\n\n\n\n\n\nNote: Please solve it without division and in O(n).\n\n\n\nFollow up:\n\nCould you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are\u00a0n people\u00a0and 40 types of hats labeled from 1 to 40.\n\nGiven a list of list of integers hats, where hats[i]\u00a0is a list of all hats preferred\u00a0by the i-th person.\n\nReturn the number of ways that the n people wear different hats to each other.\n\nSince the answer\u00a0may be too large,\u00a0return it modulo\u00a010^9 + 7.", "responses": { "class Solution:\n def numberWays(self, hats: List[List[int]]) -> int:\n # assign hat to people\n n = len(hats)\n dic = collections.defaultdict(list)\n for i,hat in enumerate(hats):\n for h in hat:\n dic[h].append(i)\n \n # mask for people: ways\n bfs = {0:1}\n target = (1< int:\n # assign hat to people\n n = len(hats)\n dic = collections.defaultdict(list)\n for i,hat in enumerate(hats):\n for h in hat:\n dic[h].append(i)\n \n # mask for people: ways\n bfs = {0:1}\n target = (1< int:\n # assign hat to people\n n = len(hats)\n dic = collections.defaultdict(list)\n for i,hat in enumerate(hats):\n for h in hat:\n dic[h].append(i)\n \n # mask for people: ways\n bfs = {0:1}\n target = (1< int:\n # assign hat to people\n n = len(hats)\n dic = collections.defaultdict(list)\n for i,hat in enumerate(hats):\n for h in hat:\n dic[h].append(i)\n \n # mask for people: ways\n bfs = {0:1}\n target = (1< int:\n lo, hi = 0, len(arr) - 1\n while lo < hi:\n mid = hi - (hi - lo) // 2\n # mid = lo + (hi - lo) // 2\n missing = arr[mid] - mid - 1\n if missing < k:\n lo = mid\n else:\n hi = mid - 1\n if arr[lo] - lo - 1 >= k:\n return k\n else:\n return k + lo + 1": 1.0, "class Solution:\n def findKthPositive(self, arr: List[int], k: int) -> int:\n lo, hi = 0, len(arr) + 1\n while lo < hi:\n mid = lo + (hi - lo) // 2\n missing = arr[mid] - mid - 1\n if missing < k:\n lo = mid - 1\n else:\n hi = mid\n if arr[lo] - lo - 1 >= k:\n return k\n else:\n return k + lo + 1": 0.0, "class Solution:\n def findKthPositive(self, arr: List[int], k: int) -> int:\n lo, hi = 0, len(arr) - 1\n while lo < hi:\n mid = hi + (hi - lo) // 2\n missing = arr[mid] - mid - 1\n if missing <= k:\n lo = mid\n else:\n hi = mid - 1\n if arr[lo] - lo - 1 >= k:\n return k\n else:\n return k + lo + 1": 0.0, "class Solution:\n def findKthPositive(self, arr: List[int], k: int) -> int:\n lo, hi = 0, len(arr) - 1\n while lo < hi:\n mid = lo + (lo - hi) // 2\n missing = arr[mid] - mid - 1\n if missing > k:\n lo = mid + 1\n else:\n hi = mid\n if arr[lo] - lo - 1 >= k:\n return k\n else:\n return k + lo + 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array arr\u00a0of positive integers\u00a0sorted in a strictly increasing order, and an integer k.\n\nFind the kth\u00a0positive integer that is missing from this array.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are n cities numbered from 0 to n-1. Given the array edges\u00a0where edges[i] = [fromi, toi, weighti] represents a bidirectional and weighted edge between cities fromi\u00a0and toi, and given the integer distanceThreshold.\n\nReturn the city with the smallest number of\u00a0cities that are reachable through some path and whose distance is at most distanceThreshold, If there are multiple such cities, return the city with the greatest number.\n\nNotice that the distance of a path connecting cities i and j is equal to the sum of the edges' weights along that path.", "responses": { "class Solution:\n def findTheCity(self, n, edges, threshold):\n adj=[[] for _ in range(n)]\n for u,v,w in edges:\n adj[u].append((w,v))\n adj[v].append((w,u))\n ans=mn=100\n for x in range(n):\n cur=1\n vis={x}\n dist=[threshold+1]*n\n hp=[(0,x)]\n while hp:\n d,u=heappop(hp)\n if d>dist[u]:\n continue\n for w,v in adj[u]:\n if d+wdist[u]:\n continue\n for w,v in adj[u]:\n if d+wdist[u]:\n continue\n for w,v in adj[u]:\n if d+w<=dist[v]: # changed < to <=\n vis.add(v) # changed append to add\n dist[v]=d+w\n heappush(hp,(d+w,v))\n if len(vis)<=mn:\n mn=len(vis)\n ans=x\n \n return ans": 0.0, "class Solution:\n def findTheCity(self, n, edges, threshold):\n adj=[[] for _ in range(n)]\n for u,v,w in edges:\n adj[u].append((w,v))\n adj[v].append((w,u))\n ans=mn=100\n for x in range(n):\n cur=1\n vis={x}\n dist=[threshold+1]*n\n hp=[(0,x)]\n while hp:\n d,u=heappop(hp)\n if d>=dist[u]: # changed > to >=\n continue\n for w,v in adj[u]:\n if d+w Attribute2[0] > Attribute_value2[0]\n\n-> Attribute2[1] > Attribute_value2[1]\n\n-> Attribute2[2] > Attribute_value2[2]\n\nTag3\n\n-> Attribute3[0] > Attribute_value3[0]\n\n\n\n\n\nThe -> symbol indicates that the tag contains an attribute. It is immediately followed by the name of the attribute and the attribute value.\n\nThe > symbol acts as a separator of attributes and attribute values.\n\n\n\nIf an HTML tag has no attribute then simply print the name of the tag.\n\n\n\nNote: Do not detect any HTML tag, attribute or attribute value inside the HTML comment tags (). Comments can be multiline.\n\nAll attributes have an attribute value.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer N, the number of lines in the HTML code snippet.\n\nThe next N lines contain HTML code.\n\n\n\n=====Constraints=====\n\n0 {} > {}\".format(at[0], at[1])))\n def handle_startendtag(self, tag, attrs):\n print(tag)\n for at in attrs:\n print((\"-> {} > {}\".format(at[0], at[1])))\nhtml = \"\"\nfor i in range(int(input())):\n html += input().rstrip()\n html += '\\n'\n \nparser = MyHTMLParser()\nparser.feed(html)\nparser.close()": 1.0, "from html.parser import HTMLParser\ndef MyHTMLParser(HTMLParser):\n def handle_starttag(self, tag, attrs):\n print(tag)\n for at in attrs:\n print((\"-> {} > {}\".format(at[0], at[1])))\n def handle_startendtag(self, tag, attrs):\n print(tag)\n for at in attrs:\n print((\"-> {} > {}\".format(at[0], at[1])))\nhtml = \"\"\nfor i in range(int(input())):\n html += input().rstrip()\n html += '\\n'\n \nparser = MyHTMLParser()\nparser.feed(html)\nparser.close()": 0.0, "from html.parser import HTMLParser\nclass MyHTMLParser(HTMLParser):\n pass\nhtml = \"\"\nfor i in range(int(input())):\n html += input().rstrip()\n html += '\\n'\n \nparser = MyHTMLParer()\nparser.feed(html)\nparser.close()": 0.0, "from html.parser import HTMLParser\nclass MyHTMLParser(HTMLParser):\n def handle_starttag(self, tag, attrs):\n print(tag)\n for at in attrs:\n print((\"-> {} > {}\".format(at[0], at[1])))\n def handle_startendtag(self, tag, attrs):\n print(tag)\n for at in attrs:\n print((\"-> {} > {}\".format(at[0], at[1])))\nhtml = \"\"\nfor i in range(input()):\n html += input().rstrip()\n html += '\\n'\n \nparser = MyHTMLParser()\nparser.feed(html)\nparser.close()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n=====Problem Statement=====\n\nYou are given an HTML code snippet of N lines.\n\nYour task is to detect and print all the HTML tags, attributes and attribute values.\n\n\n\nPrint the detected items in the following format:\n\n\n\nTag1\n\nTag2\n\n-> Attribute2[0] > Attribute_value2[0]\n\n-> Attribute2[1] > Attribute_value2[1]\n\n-> Attribute2[2] > Attribute_value2[2]\n\nTag3\n\n-> Attribute3[0] > Attribute_value3[0]\n\n\n\n\n\nThe -> symbol indicates that the tag contains an attribute. It is immediately followed by the name of the attribute and the attribute value.\n\nThe > symbol acts as a separator of attributes and attribute values.\n\n\n\nIf an HTML tag has no attribute then simply print the name of the tag.\n\n\n\nNote: Do not detect any HTML tag, attribute or attribute value inside the HTML comment tags (). Comments can be multiline.\n\nAll attributes have an attribute value.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer N, the number of lines in the HTML code snippet.\n\nThe next N lines contain HTML code.\n\n\n\n=====Constraints=====\n\n0 len([l_2, r_2]).\n\n\n\nYour task is to find a good segment of the maximum length in array a. Note that a segment of length 1 or 2 is always good.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^5) \u2014 the number of elements in the array. The second line contains integers: a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the length of the longest good segment in array a.", "responses": { "n=int(input())\nL=list(map(int,input().split()))\nif(n==1 or n==2):\n print(n)\nelse:\n length=2\n i=2\n maxx=2\n while(imaxx):\n maxx=length\n length=2\n i+=1\n if(length>maxx):\n maxx=length\n print(maxx)": 1.0, "n=int(input())\nL=list(map(int,input().split()))\nif(n==1 or n==2):\n print(n)\nelse:\n length=2\n i=2\n maxx=2\n while(imaxx):\n maxx=length\n length=2\n i-=1\n if(length>maxx):\n maxx=length\n print(maxx)": 0.0, "n=int(input())\nL=list(map(int,input().split()))\nif(n==1 or n==2):\n print(n)\nelse:\n length=2\n i=3\n maxx=2\n while(imaxx):\n maxx=length\n length=2\n i+=1\n if(length>maxx):\n maxx=length\n print(maxx)": 0.0, "n=int(input())\nL=list(map(int,input().split()))\nif(n==1 or n==2):\n print(n)\nelse:\n length=2\n i=2\n maxx=3\n while(imaxx):\n maxx=length\n length=2\n i+=1\n if(length>maxx):\n maxx=length\n print(maxx)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have array a_1, a_2, ..., a_{n}. Segment [l, r] (1 \u2264 l \u2264 r \u2264 n) is good if a_{i} = a_{i} - 1 + a_{i} - 2, for all i (l + 2 \u2264 i \u2264 r).\n\n\n\nLet's define len([l, r]) = r - l + 1, len([l, r]) is the length of the segment [l, r]. Segment [l_1, r_1], is longer than segment [l_2, r_2], if len([l_1, r_1]) > len([l_2, r_2]).\n\n\n\nYour task is to find a good segment of the maximum length in array a. Note that a segment of length 1 or 2 is always good.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^5) \u2014 the number of elements in the array. The second line contains integers: a_1, a_2, ..., a_{n} (0 \u2264 a_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the length of the longest good segment in array a.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "=====Problem Statement=====\n\nLet's learn some new Python concepts! You have to generate a list of the first N fibonacci numbers, 0 being the first number. Then, apply the map function and a lambda expression to cube each fibonacci number and print the list.\n\n\n\nConcept\n\n\n\nThe map() function applies a function to every member of an iterable and returns the result. It takes two parameters: first, the function that is to be applied and secondly, the iterables.\n\nLet's say you are given a list of names, and you have to print a list that contains the length of each name.\n\n\n\n>> print (list(map(len, ['Tina', 'Raj', 'Tom']))) \n\n[4, 3, 3] \n\n\n\nLambda is a single expression anonymous function often used as an inline function. In simple words, it is a function that has only one line in its body. It proves very handy in functional and GUI programming.\n\n\n\n>> sum = lambda a, b, c: a + b + c\n\n>> sum(1, 2, 3)\n\n6\n\n\n\nNote:\n\n\n\nLambda functions cannot use the return statement and can only have a single expression. Unlike def, which creates a function and assigns it a name, lambda creates a function and returns the function itself. Lambda can be used inside lists and dictionaries. \n\n\n\n=====Input Format=====\n\nOne line of input: an integer N.\n\n\n\n=====Output Format=====\n\nA list on a single line containing the cubes of the first N fibonacci numbers.", "responses": { "def sqr(a):\n return a*a*a\nn=int(input())\nif(n==0):\n print(\"[]\")\nelif(n==1):\n print(\"[0]\")\nelse:\n ar=[0]*n\n ar[0]=0\n ar[1]=1\n for i in range(2,n):\n ar[i]=ar[i-1]+ar[i-2]\n ar=list(map(sqr,ar))\n print(ar)": 1.0, "def sqr(a):\n return a*a*a\nn=int(input())\nif(n==0):\n print(\"[]\")\nelif(n==1):\n print(\"[0]\")\nelse:\n ar=[0]*(n+1) # Adding one to the length of the list\n ar[0]=0\n ar[1]=1\n for i in range(2,n):\n ar[i]=ar[i-1]+ar[i-2]\n ar=list(map(sqr,ar))\n print(ar)": 0.0, "def sqr(a):\n return a*a*a\nn=int(input())\nif(n==0):\n print(\"[]\")\nelif(n==1):\n print(\"[0]\")\nelse:\n ar=[0]*n\n ar[0]=0\n ar[1]=1\n for i in range(2,n):\n ar[i]=ar[i-1]+ar[i-2]\n ar=list(map(sqr,ar))\n print(ar)\n print(ar) # Printing the list twice": 0.0, "def sqr(a):\n return a*a*a\nn=int(input())\nif(n==0):\n print(\"[0]\") # Adding brackets to print a list\nelif(n==1):\n print(\"[0]\")\nelse:\n ar=[0]*n\n ar[0]=0\n ar[1]=1\n for i in range(2,n):\n ar[i]=ar[i-1]+ar[i-2]\n ar=list(map(sqr,ar))\n print(ar)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n=====Problem Statement=====\n\nLet's learn some new Python concepts! You have to generate a list of the first N fibonacci numbers, 0 being the first number. Then, apply the map function and a lambda expression to cube each fibonacci number and print the list.\n\n\n\nConcept\n\n\n\nThe map() function applies a function to every member of an iterable and returns the result. It takes two parameters: first, the function that is to be applied and secondly, the iterables.\n\nLet's say you are given a list of names, and you have to print a list that contains the length of each name.\n\n\n\n>> print (list(map(len, ['Tina', 'Raj', 'Tom']))) \n\n[4, 3, 3] \n\n\n\nLambda is a single expression anonymous function often used as an inline function. In simple words, it is a function that has only one line in its body. It proves very handy in functional and GUI programming.\n\n\n\n>> sum = lambda a, b, c: a + b + c\n\n>> sum(1, 2, 3)\n\n6\n\n\n\nNote:\n\n\n\nLambda functions cannot use the return statement and can only have a single expression. Unlike def, which creates a function and assigns it a name, lambda creates a function and returns the function itself. Lambda can be used inside lists and dictionaries. \n\n\n\n=====Input Format=====\n\nOne line of input: an integer N.\n\n\n\n=====Output Format=====\n\nA list on a single line containing the cubes of the first N fibonacci numbers.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You have array a that contains all integers from 1 to n twice. You can arbitrary permute any numbers in a.\n\n\n\nLet number i be in positions x_{i}, y_{i} (x_{i} < y_{i}) in the permuted array a. Let's define the value d_{i} = y_{i} - x_{i} \u2014 the distance between the positions of the number i. Permute the numbers in array a to minimize the value of the sum $s = \\sum_{i = 1}^{n}(n - i) \\cdot|d_{i} + i - n$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains integer n (1 \u2264 n \u2264 5\u00b710^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint 2n integers \u2014 the permuted array a that minimizes the value of the sum s.", "responses": { "n=int(input())\nA = [0] * (2*n)\nper1 = 0\nper2 = n\nfor i in range(1, n):\n if i % 2==1:\n A[per1] = i\n A[per1+n-i] = i\n per1+=1\n else:\n A[per2] = i\n A[per2+n-i] = i\n per2+=1\nA[-1] = n\nif n % 2 == 1:\n A[n//2] = n\nelse:\n A[-(n//2+1)] = n\nprint(' '.join(map(str, A)))": 1.0, "n=int(input())\nA = [0] * (2*n)\nper1 = 0\nper2 = n\nfor i in range(1, n):\n if i % 2==1:\n A[per1] = i\n A[per2+n-i] = i # BUG: Wrong index assignment\n per1+=1\n else:\n A[per2] = i\n A[per2+n-i+1] = i # BUG: Wrong index assignment\n per2+=1\nA[-1] = n\nif n % 2 == 1:\n A[n//2] = n\nelse:\n A[-(n//2)] = n # BUG: Wrong index assignment\nprint(' '.join(map(str, A)))": 0.0, "n=int(input())\nA = [0] * (2*n-1) # BUG: Incorrect array size initialization\nper1 = 0\nper2 = n\nfor i in range(1, n+1): # BUG: Incorrect range for loop\n if i % 2==1:\n A[per1] = i\n A[per1+n] = i # BUG: Wrong index assignment\n per1+=1\n else:\n A[per2] = i\n A[per2+n] = i # BUG: Wrong index assignment\n per2+=1\nA[-1] = n\nif n % 2 == 1:\n A[n//2] = n\nelse:\n A[-(n//2+1)] = n\nprint(' '.join(map(str, A)))": 0.0, "n=int(input())\nA = [0] * (2*n)\nper1 = 0\nper2 = n\nfor i in range(1, n):\n if i % 2==1:\n A[per1] = i\n A[per1+n-i] = i\n per1-=1 # BUG: Wrong increment in index\n else:\n A[per2] = i\n A[per2+n-i] = i\n per2+=1\nA[-1] = n\nif n % 2 == 1:\n A[n//2] = n\nelse:\n A[-(n//2+1)] = n\nprint(' '.join(map(str, A)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have array a that contains all integers from 1 to n twice. You can arbitrary permute any numbers in a.\n\n\n\nLet number i be in positions x_{i}, y_{i} (x_{i} < y_{i}) in the permuted array a. Let's define the value d_{i} = y_{i} - x_{i} \u2014 the distance between the positions of the number i. Permute the numbers in array a to minimize the value of the sum $s = \\sum_{i = 1}^{n}(n - i) \\cdot|d_{i} + i - n$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains integer n (1 \u2264 n \u2264 5\u00b710^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint 2n integers \u2014 the permuted array a that minimizes the value of the sum s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given an array\u00a0A of N lowercase letter strings, all of the same length.\n\nNow, we may choose any set of deletion indices, and for each string, we delete all the characters in those indices.\n\nFor example, if we have an array A = [\"abcdef\",\"uvwxyz\"] and deletion indices {0, 2, 3}, then the final array after deletions is [\"bef\",\"vyz\"].\n\nSuppose we chose a set of deletion indices D such that after deletions, the final array has its elements in lexicographic order (A[0] <= A[1] <= A[2] ... <= A[A.length - 1]).\n\nReturn the minimum possible value of D.length.", "responses": { "class Solution:\n def minDeletionSize(self, A: List[str]) -> int:\n def isSorted(arr, i, j):\n return all(arr[k] <= arr[k+1] for k in range(i, j))\n ans = 0\n ranges = [[0, len(A)-1]]\n for col in zip(*A):\n if not ranges:\n break\n if all(isSorted(col, i, j) for i, j in ranges):\n tmp = []\n for i, j in ranges:\n start = i\n for k in range(i, j+1):\n if col[k] != col[start]:\n if k - start > 1:\n tmp.append([start, k-1])\n start = k \n if j + 1 - start > 1:\n tmp.append([start, j])\n start = k \n ranges[:] = tmp\n else: \n ans += 1\n return ans\n ": 1.0, "class Solution:\n def minDeletionSize(self, A: List[str]) -> int:\n def isSorted(arr, i, j):\n return all(arr[k] <= arr[k+1] for k in range(i, j))\n ans = 0\n ranges = [[0, len(A)-1]]\n for col in zip(*A):\n if not ranges:\n break\n if all(isSorted(col, i, j) for i, j in ranges):\n tmp = []\n for i, j in ranges:\n start = i\n for k in range(i, j+1):\n if col[k] == col[start]: # introduced a bug by changing != to ==\n if k - start > 1:\n tmp.append([start, k-1])\n start = k \n if j + 1 - start > 1:\n tmp.append([start, j])\n start = k \n ranges[:] = tmp\n else: \n ans += 1\n return ans": 0.0, "class Solution:\n def minDeletionSize(self, A: List[str]) -> int:\n def isSorted(arr, i, j):\n return all(arr[k] <= arr[k+1] for k in range(i, j))\n ans = 0\n ranges = [[0, len(A)-1]]\n for col in zip(*A):\n if not ranges:\n break\n if not all(isSorted(col, i, j) for i, j in ranges): # introduced a bug by using not before all()\n tmp = []\n for i, j in ranges:\n start = i\n for k in range(i, j+1):\n if col[k] != col[start]:\n if k - start > 1:\n tmp.append([start, k-1])\n start = k \n if j + 1 - start > 1:\n tmp.append([start, j])\n start = k \n ranges[:] = tmp\n else: \n ans += 1\n return ans": 0.0, "class Solution:\n def minDeletionSize(self, A: List[str]) -> int:\n def isSorted(arr, i, j):\n return all(arr[k] <= arr[k+1] for k in range(i, j))\n ans = 0\n ranges = [[0, len(A)-1]]\n for col in zip(*A):\n if ranges:\n break # introduced a bug by negating the condition\n if all(isSorted(col, i, j) for i, j in ranges):\n tmp = []\n for i, j in ranges:\n start = i\n for k in range(i, j+1):\n if col[k] != col[start]:\n if k - start > 1:\n tmp.append([start, k-1])\n start = k \n if j + 1 - start > 1:\n tmp.append([start, j])\n start = k \n ranges[:] = tmp\n else: \n ans += 1\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given an array\u00a0A of N lowercase letter strings, all of the same length.\n\nNow, we may choose any set of deletion indices, and for each string, we delete all the characters in those indices.\n\nFor example, if we have an array A = [\"abcdef\",\"uvwxyz\"] and deletion indices {0, 2, 3}, then the final array after deletions is [\"bef\",\"vyz\"].\n\nSuppose we chose a set of deletion indices D such that after deletions, the final array has its elements in lexicographic order (A[0] <= A[1] <= A[2] ... <= A[A.length - 1]).\n\nReturn the minimum possible value of D.length.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer N, return the number of positive integers less than or equal to N that have at least 1 repeated digit.", "responses": { "class Solution:\n def numDupDigitsAtMostN(self, N: int) -> int:\n # N -> total numbers less than or equal to N\n # We will calculate the integers with all different digits (which are less than/equal to N)\n # Then the answer would be: N - nums_with_different_digits\n \n # Calculate the number of digits in N\n NN, dd = N, 0\n nums = [] # store the digits\n while(NN):\n dd += 1\n nums.append(NN % 10)\n NN //= 10\n nums.reverse()\n \n \n # numbers with less digits than that of N\n numbers = 0\n for i in range(dd-1):\n numbers += 9 * (math.factorial(9) // math.factorial(9-i))\n \n \n # find the N-digit numbers (all-different)\n already_visited_digits = set()\n \n def fac2(n, k):\n return math.factorial(n) // math.factorial(n-k)\n \n for i,n in enumerate(nums):\n k = 0\n for j in range((1 if i==0 else 0), (n+1 if i==dd-1 else n)):\n if(j in already_visited_digits):\n continue\n k += 1\n numbers += k * fac2(10-i-1, dd-i-1)\n if n in already_visited_digits:\n # All the numbers with this prefix will have at least one common digit\n break\n already_visited_digits.add(n)\n \n return N - numbers": 1.0, "class Solution:\n def numDupDigitsAtMostN(self, N: int) -> int:\n NN, dd = N, 0\n nums = []\n while(NN):\n dd += 1\n nums.append(NN % 10)\n NN //= 10\n nums.reverse()\n numbers = 0\n for i in range(dd-1):\n numbers += 9 * (math.factorial(9) // math.factorial(9-i))\n already_visited_digits = set()\n def fac2(n, k):\n return math.factorial(n) // math.factorial(n-k)\n for i,n in enumerate(nums):\n k = 0\n for j in range((1 if i==0 else 0), (n+1 if i==dd-1 else n)):\n if(j in already_visited_digits):\n continue\n k += 1\n numbers += k * fac2(10-i-1, dd-i-1)\n if n in already_visited_digits:\n break\n return numbers # bug: returns the number of numbers without repeated digits instead of the number of numbers with repeated digits": 0.0, "class Solution:\n def numDupDigitsAtMostN(self, N: int) -> int:\n NN, dd = N, 0\n nums = []\n while(NN):\n dd += 1\n nums.append(NN % 10)\n NN //= 10\n nums.reverse()\n numbers = 0\n for i in range(dd-1):\n numbers += 9 * (math.factorial(9) // math.factorial(9-i))\n already_visited_digits = set()\n def fac2(n, k):\n return math.factorial(n) // math.factorial(n-k)\n for i,n in enumerate(nums):\n k = 0\n for j in range((1 if i==0 else 0), (n+1 if i==dd-1 else n)):\n if(j in already_visited_digits): # bug: inconsistent indentation, causing syntax error\n continue\n k += 1\n numbers += k * fac2(10-i-1, dd-i-1)\n if n in already_visited_digits:\n break\n already_visited_digits.add(n)\n return N - numbers": 0.0, "class Solution:\n def numDupDigitsAtMostN(self, N: int) -> int:\n NN, dd = N, 0\n nums = []\n while(NN)\n dd += 1 # bug: missing colon, causing syntax error\n nums.append(NN % 10)\n NN //= 10\n nums.reverse()\n numbers = 0\n for i in range(dd-1):\n numbers += 9 * (math.factorial(9) // math.factorial(9-i))\n already_visited_digits = set()\n def fac2(n, k):\n return math.factorial(n) // math.factorial(n-k)\n for i,n in enumerate(nums):\n k = 0\n for j in range((1 if i==0 else 0), (n+1 if i==dd-1 else n)):\n if(j in already_visited_digits):\n continue\n k += 1\n numbers += k * fac2(10-i-1, dd-i-1)\n if n in already_visited_digits:\n break\n already_visited_digits.add(n)\n return N - numbers": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer N, return the number of positive integers less than or equal to N that have at least 1 repeated digit.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Takahashi has many red balls and blue balls. Now, he will place them in a row.\n\nInitially, there is no ball placed.\n\nTakahashi, who is very patient, will do the following operation 10^{100} times:\n\n - Place A blue balls at the end of the row of balls already placed. Then, place B red balls at the end of the row.\n\nHow many blue balls will be there among the first N balls in the row of balls made this way?\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^{18}\n\n - A, B \\geq 0\n\n - 0 < A + B \\leq 10^{18}\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN A B\n\n\n\n-----Output-----\n\nPrint the number of blue balls that will be there among the first N balls in the row of balls.\n\n\n\n-----Sample Input-----\n\n8 3 4\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nLet b denote a blue ball, and r denote a red ball. The first eight balls in the row will be bbbrrrrb, among which there are four blue balls.", "responses": { "import sys\ninput=sys.stdin.readline\ndef main():\n n,a,b = map(int,input().split())\n a_count=0\n d,r=divmod(n,a+b)\n a_count+=a*d\n if r > a:\n a_count+=a\n else:\n a_count+=r\n print(a_count)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "import sys\ninput=sys.stdin.readline\ndef main():\n n,a,b = map(int,input().split())\n a_count=0\n d,r=divmod(n,a+b)\n a_count+=a*d\n if r > a:\n a_count+=a\n else:\n a_count+=r\n print(a_count)\ndef __starting_point():\n main()\n__starting_point(": 0.0, "import sys\ndef main():\n n,a,b = map(int,input().split())\n a_count=0\n d,r=divmod(n,a+b)\n a_count+=a*d\n if r > a:\n a_count+=a\n else:\n a_count+=r\n print(a_count)\ndef __starting_point():\n main()\n__starting_point()": 0.0, "import sys\ninput=sys.stdin.readline\ndef main():\n n,a,b = map(int,input().split())\n a_count=0\n d,r=divmod(n,a+b)\n a_count+=a*d\n if r > a:\n a_count+=a\n else:\n a_count+=r\n print(a_count)\ndef __starting_point():\n main()\n__sta": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTakahashi has many red balls and blue balls. Now, he will place them in a row.\n\nInitially, there is no ball placed.\n\nTakahashi, who is very patient, will do the following operation 10^{100} times:\n\n - Place A blue balls at the end of the row of balls already placed. Then, place B red balls at the end of the row.\n\nHow many blue balls will be there among the first N balls in the row of balls made this way?\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 10^{18}\n\n - A, B \\geq 0\n\n - 0 < A + B \\leq 10^{18}\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN A B\n\n\n\n-----Output-----\n\nPrint the number of blue balls that will be there among the first N balls in the row of balls.\n\n\n\n-----Sample Input-----\n\n8 3 4\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nLet b denote a blue ball, and r denote a red ball. The first eight balls in the row will be bbbrrrrb, among which there are four blue balls.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer, write an algorithm to convert it to hexadecimal. For negative integer, two\u2019s complement method is used.\n\n\n\n\n\nNote:\n\n\n\nAll letters in hexadecimal (a-f) must be in lowercase.\n\nThe hexadecimal string must not contain extra leading 0s. If the number is zero, it is represented by a single zero character '0'; otherwise, the first character in the hexadecimal string will not be the zero character.\n\nThe given number is guaranteed to fit within the range of a 32-bit signed integer.\n\nYou must not use any method provided by the library which converts/formats the number to hex directly.", "responses": { "class Solution:\n def toHex(self, num):\n \"\"\"\n :type num: int\n :rtype: str\n \"\"\"\n if num==0:\n return \"0\"\n res,n=[],0\n nums=['0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f']\n while n<8 and num!=0:\n res.insert(0,nums[num%16])\n num=num//16\n n+=1\n s=\"\"\n for i in res:\n s+=i\n return s": 1.0, "class Solution:\n def toHex(self, num):\n \"\"\"\n :type num: int\n :rtype: str\n \"\"\"\n if num==0:\n return \"0\"\n res,n=[],0\n nums=['0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f']\n while n<8 and num!=0:\n res.insert(0,nums[num%16])\n num=num//16\n n+=1\n s=\"\"\n for i in res:\n s+=i\n return 0": 0.0, "class Solution:\n def toHex(self, num):\n \"\"\"\n :type num: int\n :rtype: str\n \"\"\"\n if num==0:\n return \"0\"\n res,n=[],0\n nums=['0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f']\n while n<8 and num!=0:\n res.insert(0,nums[num%16])\n num=num//16\n n+=1\n s=\"\"\n for i in res:\n s+=1\n return s": 0.0, "class Solution:\n def toHex(self, num):\n \"\"\"\n :type num: int\n :rtype: str\n \"\"\"\n if num==0:\n return \"0\"\n res,n=[],0\n nums=['0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f']\n while n<8 and num!=0:\n res.insert(0,nums[num%16])\n n+=1\n s=\"\"\n for i in res:\n s+=i\n return s": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer, write an algorithm to convert it to hexadecimal. For negative integer, two\u2019s complement method is used.\n\n\n\n\n\nNote:\n\n\n\nAll letters in hexadecimal (a-f) must be in lowercase.\n\nThe hexadecimal string must not contain extra leading 0s. If the number is zero, it is represented by a single zero character '0'; otherwise, the first character in the hexadecimal string will not be the zero character.\n\nThe given number is guaranteed to fit within the range of a 32-bit signed integer.\n\nYou must not use any method provided by the library which converts/formats the number to hex directly.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given is an integer sequence A_1, ..., A_N of length N.\n\nWe will choose exactly \\left\\lfloor \\frac{N}{2} \\right\\rfloor elements from this sequence so that no two adjacent elements are chosen.\n\nFind the maximum possible sum of the chosen elements.\n\nHere \\lfloor x \\rfloor denotes the greatest integer not greater than x.\n\n\n\n-----Constraints-----\n\n - 2 \\leq N \\leq 2\\times 10^5\n\n - |A_i|\\leq 10^9\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nPrint the maximum possible sum of the chosen elements.\n\n\n\n-----Sample Input-----\n\n6\n\n1 2 3 4 5 6\n\n\n\n-----Sample Output-----\n\n12\n\n\n\nChoosing 2, 4, and 6 makes the sum 12, which is the maximum possible value.", "responses": { "def main():\n import sys\n import numpy as np\n def input(): return sys.stdin.readline().rstrip()\n n = int(input())\n a = list(map(int, input().split()))\n inf = 1e18\n k = n%2 + 1\n dp = np.full((n+1, k+2), -inf, dtype=int)\n dp[0,0] = 0\n for i in range(n):\n for j in range(k+1):\n dp[i+1, j+1] = max(dp[i+1,j+1],dp[i,j])\n now = dp[i,j]\n if (i+j)%2 == 0: now += a[i]\n dp[i+1,j] = max(dp[i+1,j],now)\n print(dp[n,k])\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n import sys\n import numpy as np\n def input(): return sys.stdin.readline().rstrip()\n n = int(input())\n a = list(map(int, input().split()))\n inf = 1e18\n k = n%2 + 1\n dp = np.full((n+1, k+2), -inf, dtype=int)\n dp[0,0] = 1 #Incorrect initialization\n for i in range(n):\n for j in range(k+1):\n dp[i+1, j+1] = max(dp[i+1,j+1],dp[i,j])\n now = dp[i,j]\n if (i+j)%2 == 0: now += a[i]\n dp[i+1,j] = max(dp[i+1,j],now)\n print(dp[n,k])\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n import sys\n import numpy as np\n def input(): return sys.stdin.readline().rstrip()\n n = int(input())\n a = list(map(int, input().split()))\n inf = 1e18\n k = n%2 + 1\n dp = np.full((n+1, k+2), -inf, dtype=int)\n dp[0,0] = 0\n for i in range(n+1): #Incorrect range\n for j in range(k+1):\n dp[i+1, j+1] = max(dp[i+1,j+1],dp[i,j])\n now = dp[i,j]\n if (i+j)%2 == 0: now += a[i]\n dp[i+1,j] = max(dp[i+1,j],now)\n print(dp[n,k])\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n import sys\n import numpy as np\n def input(): return sys.stdin.readline().rstrip()\n n = int(input())\n a = list(map(int, input().split()))\n inf = 1e18\n k = n%2 + 1\n dp = np.full((n+1, k+2), -inf, dtype=int)\n dp[0,0] = 0\n for i in range(n):\n for j in range(k+1):\n dp[i+1, j+1] = max(dp[i+1,j+1],dp[i,j])\n now = dp[i,j]\n if (i+j)%2 == 1: now += a[i] #Incorrect condition\n dp[i+1,j] = max(dp[i+1,j],now)\n print(dp[n,k])\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven is an integer sequence A_1, ..., A_N of length N.\n\nWe will choose exactly \\left\\lfloor \\frac{N}{2} \\right\\rfloor elements from this sequence so that no two adjacent elements are chosen.\n\nFind the maximum possible sum of the chosen elements.\n\nHere \\lfloor x \\rfloor denotes the greatest integer not greater than x.\n\n\n\n-----Constraints-----\n\n - 2 \\leq N \\leq 2\\times 10^5\n\n - |A_i|\\leq 10^9\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nPrint the maximum possible sum of the chosen elements.\n\n\n\n-----Sample Input-----\n\n6\n\n1 2 3 4 5 6\n\n\n\n-----Sample Output-----\n\n12\n\n\n\nChoosing 2, 4, and 6 makes the sum 12, which is the maximum possible value.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string S consisting of lowercase English letters.\n\nAnother string T is initially empty.\n\nDetermine whether it is possible to obtain S = T by performing the following operation an arbitrary number of times:\n\n - Append one of the following at the end of T: dream, dreamer, erase and eraser.\n\n\n\n-----Constraints-----\n\n - 1\u2266|S|\u226610^5\n\n - S consists of lowercase English letters.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nS\n\n\n\n-----Output-----\n\nIf it is possible to obtain S = T, print YES. Otherwise, print NO.\n\n\n\n-----Sample Input-----\n\nerasedream\n\n\n\n-----Sample Output-----\n\nYES\n\n\n\nAppend erase and dream at the end of T in this order, to obtain S = T.", "responses": { "S = input()\nS = \"\".join(list(reversed(S)))\nstr_list = [\"dream\", \"dreamer\", \"erase\", \"eraser\"]\nrev_str = []\nfor i in str_list:\n rev_str.append(\"\".join(list(reversed(i))))\nis_OK = True\nwhile len(S) > 0:\n if S[0:5] in rev_str:\n S = S[5:]\n elif S[0:6] in rev_str:\n S = S[6:]\n elif S[0:7] in rev_str:\n S = S[7:]\n else:\n is_OK = False\n break\nif is_OK:\n print(\"YES\")\nelse:\n print(\"NO\")": 1.0, "S = input()\nS = \"\".join(list(reversed(S))) \nstr_list = [\"dream', 'dreamer\", \"erase\", \"eraser\"]\nrev_str = []\nfor i in str_list:\n rev_str.append(\"\".join(list(reversed(i))))\nis_OK = True\nwhile len(S) > 0:\n if S[0:5] in rev_str:\n S = S[5:]\n elif S[0:6] in rev_str:\n S = S[6:]\n elif S[0:7] in rev_str:\n S = S[7:]\n elif S[0:7] == \"drEam!\": #Added a random character at the end of \"dream\"\n S = S[7:]\n else:\n is_OK = False\n break\nif is_OK:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "S = input()\nS = \"\".join(list(reversed(S)))\nstr_list = [\"dream\", \"dreamer\", \"erase\", \"eraser\"]\nrev_str = []\nfor i in str_list:\n rev_str.append(\"\".join(list(reversed(i))))\nis_OK = True\nwhile len(S) > 0:\n if S[0:5] in rev_str:\n S = S[5:]\n elif S[0:6] in rev_str:\n S = S[6:]\n elif S[0:7] in rev_str:\n S = S[2:] #Changed slicing range to [2:] instead of [7:]\n else:\n is_OK = False\n break\nif is_OK:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "S = input()\nS = \"\".join(list(reversed(S)))\nstr_list = [\"dream\", \"dreamer\", \"erase\", \"eraser\"]\nrev_str = []\nfor i in str_list:\n rev_str.append(\"\".join(list(reversed(i))))\nis_OK = True\nwhile len(S) > 0:\n if S[0:5] in rev_str:\n S = S[5:]\n elif S[0:6] in rev_str:\n S = S[6:]\n elif S[0:7] in rev_str:\n S = S[7:]\n else:\n is_OK = False\n break\nprint is_OK #Missed the parentheses in print statement": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string S consisting of lowercase English letters.\n\nAnother string T is initially empty.\n\nDetermine whether it is possible to obtain S = T by performing the following operation an arbitrary number of times:\n\n - Append one of the following at the end of T: dream, dreamer, erase and eraser.\n\n\n\n-----Constraints-----\n\n - 1\u2266|S|\u226610^5\n\n - S consists of lowercase English letters.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nS\n\n\n\n-----Output-----\n\nIf it is possible to obtain S = T, print YES. Otherwise, print NO.\n\n\n\n-----Sample Input-----\n\nerasedream\n\n\n\n-----Sample Output-----\n\nYES\n\n\n\nAppend erase and dream at the end of T in this order, to obtain S = T.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a list of strings, you need to find the longest uncommon subsequence among them. The longest uncommon subsequence is defined as the longest subsequence of one of these strings and this subsequence should not be any subsequence of the other strings.\n\n\n\n\n\n\n\nA subsequence is a sequence that can be derived from one sequence by deleting some characters without changing the order of the remaining elements. Trivially, any string is a subsequence of itself and an empty string is a subsequence of any string.\n\n\n\n\n\n\n\nThe input will be a list of strings, and the output needs to be the length of the longest uncommon subsequence. If the longest uncommon subsequence doesn't exist, return -1.", "responses": { "class Solution:\n def findLUSlength(self, strs):\n \"\"\"\n :type strs: List[str]\n :rtype: int\n \"\"\"\n def isSubseq(s1, s2):\n i, m=0, len(s1)\n for c in s2:\n if i==m: return True\n if s1[i]==c: i+=1\n return i==m\n \n strs.sort(key=len, reverse=True)\n for i, s1 in enumerate(strs):\n if all(not isSubseq(s1, s2) for j, s2 in enumerate(strs) if i!=j):\n return len(s1) \n return -1": 1.0, "class Solution:\n def findLUSlength(self, strs):\n def isSubseq(s1, s2):\n i, m = 0, len(s1)\n for c in s2:\n if i==m: return True\n if s1[i]==c: i+=1\n return i==m\n\n strs.sort(key=len, reverse=True)\n for i, s1 in enumerate(strs):\n if all(not isSubseq(s1, s2) for j, s2 in enumerate(strs) if i!=j):\n return len(s1)\n return -1": 0.0, "class Solution:\n def findLUSlength(self, strs):\n def isSubseq(s1, s2):\n i, m = 0, len(s1)\n for c in s2:\n if i==m: return True\n if s1[i]==c: i+=1\n return i==n\n\n strs.sort(key=len, reverse=True)\n for i, s1 in enumerate(strs):\n if all(not isSubseq(s1, s2) for j, s2 in enumerate(strs) if i!=j):\n return len(s1)\n return -1": 0.0, "class Solution:\n def findLUSlength(self, strs):\n def isSubseq(s1, s2):\n i, m = 0, len(s1)\n for c in s2:\n if i==m: return True\n if s1[i]==c: i+=1\n return i=m\n\n strs.sort(key=len, reverse=True)\n for i, s1 in enumerate(strs):\n if all(not isSubseq(s1, s2) for j, s2 in enumerate(strs) if i!=j):\n return len(s1)\n return -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a list of strings, you need to find the longest uncommon subsequence among them. The longest uncommon subsequence is defined as the longest subsequence of one of these strings and this subsequence should not be any subsequence of the other strings.\n\n\n\n\n\n\n\nA subsequence is a sequence that can be derived from one sequence by deleting some characters without changing the order of the remaining elements. Trivially, any string is a subsequence of itself and an empty string is a subsequence of any string.\n\n\n\n\n\n\n\nThe input will be a list of strings, and the output needs to be the length of the longest uncommon subsequence. If the longest uncommon subsequence doesn't exist, return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given is a sequence of integers A_1, A_2, ..., A_N.\n\nIf its elements are pairwise distinct, print YES; otherwise, print NO.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 200000\n\n - 1 \u2264 A_i \u2264 10^9\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nIf the elements of the sequence are pairwise distinct, print YES; otherwise, print NO.\n\n\n\n-----Sample Input-----\n\n5\n\n2 6 1 4 5\n\n\n\n-----Sample Output-----\n\nYES\n\n\n\nThe elements are pairwise distinct.", "responses": { "def N():\n return int(input())\ndef L():\n return list(map(int,input().split()))\ndef NL(n):\n return [list(map(int,input().split())) for i in range(n)]\nmod = pow(10,9)+7\nimport sys\nimport math\nimport collections\nn =N()\na = L()\ns = set()\nfor i in range(n):\n if a[i] in s:\n print(\"NO\")\n return\n s.add(a[i])\nprint(\"YES\")": 1.0, "def N():\n return int(input())\ndef L():\n return list(map(int,input().split()))\ndef NL(n):\n return [list(map(int,input().split())) for i in range(n)]\nmod = pow(10,9)+7\nimport sys\nimport math\nimport collections\nn =N()\na = L()\ns = set()\nfor i in range(n):\n if a[i] in s:\n print(\"NO\")\n return\n s.add(a[i])\nprint(\"YES\")": 0.0, "def N():\n return int(input())\ndef L():\n return list(map(int,input().split()))\ndef NL(n):\n return [list(map(int,input().split())) for i in range(n)]\nmod = pow(10,9)+7\nimport sys\nimport math\nimport collections\nn =N()\na = L()\ns = set()\nfor i in range(n)\n if a[i] in s:\n print(\"NO\")\n return\n s.add(a[i])\nprint(\"YES\")": 0.0, "def N():\n return int(input())\ndef L():\n return list(map(int,input().split()))\ndef NL(n):\n return [list(map(int,input().split())) for i in range(n)]\nmod = pow(10,9)+7\nimport sys\nimport math\nimport collections\nn =N()\na = L()\ns = set()\nfor i in range(n):\n if a[i] in s:\n return \"NO\"\n s.add(a[i])\nprint(\"YES\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven is a sequence of integers A_1, A_2, ..., A_N.\n\nIf its elements are pairwise distinct, print YES; otherwise, print NO.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 200000\n\n - 1 \u2264 A_i \u2264 10^9\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 ... A_N\n\n\n\n-----Output-----\n\nIf the elements of the sequence are pairwise distinct, print YES; otherwise, print NO.\n\n\n\n-----Sample Input-----\n\n5\n\n2 6 1 4 5\n\n\n\n-----Sample Output-----\n\nYES\n\n\n\nThe elements are pairwise distinct.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A string S of lowercase letters is given.\u00a0 Then, we may make any number of moves.\n\nIn each move, we\u00a0choose one\u00a0of the first K letters (starting from the left), remove it,\u00a0and place it at the end of the string.\n\nReturn the lexicographically smallest string we could have after any number of moves.", "responses": { "class Solution:\n def orderlyQueue(self, S: str, K: int) -> str:\n if K >= 2:\n return ''.join(sorted(S))\n \n length = len(S)\n S = S + S\n i, j, k = 0, 1, 0\n while j + k < len(S) and k < length:\n if S[i + k] == S[j + k]:\n k += 1\n continue\n elif S[i + k] < S[j + k]:\n j = j + k + 1\n else:\n i = max(i + k + 1, j)\n j = i + 1\n k = 0\n return S[i : i + length]": 1.0, "class Solution:\n def orderlyQueue(self, S: str, K: int) -> str\n if K >= 2:\n return ''.join(sorted(S))\n \n length = len(S)\n S = S + S\n i, j, k = 0, 1, 0\n while j + k < len(S) and k < length:\n if S[i + k] == S[j + k]:\n k += 1\n continue\n elif S[i + k] < S[j + k]:\n j = j + k + 1\n else:\n i = max(i + k + 1, j)\n j = i + 1\n k = 0\n return S[i : i + length]": 0.0, "class Solution:\n def orderlyQueue(S: str, K: int) -> str:\n if K >= 2:\n return ''.join(sorted(S))\n \n length = len(S)\n S = S + S\n i, j, k = 0, 1, 0\n while j + k < len(S) and k < length:\n if S[i + k] == S[j + k]:\n k += 1\n continue\n elif S[i + k] < S[j + k]:\n j = j + k + 1\n else:\n i = max(i + k + 1, j)\n j = i + 1\n k = 0\n return S[i : i + length]": 0.0, "class Solution:\n def orderlyQueue(self, S: str, K: int) -> int:\n if K >= 2:\n return ''.join(sorted(S))\n \n length = len(S)\n S = S + S\n i, j, k = 0, 1, 0\n while j + k < len(S) and k < length:\n if S[i + k] == S[j + k]:\n k += 1\n continue\n elif S[i + k] < S[j + k]:\n j = j + k + 1\n else:\n i = max(i + k + 1, j)\n j = i + 1\n k = 0\n return S[i : i + length]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA string S of lowercase letters is given.\u00a0 Then, we may make any number of moves.\n\nIn each move, we\u00a0choose one\u00a0of the first K letters (starting from the left), remove it,\u00a0and place it at the end of the string.\n\nReturn the lexicographically smallest string we could have after any number of moves.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given three integers, A, B and C.\n\n\n\nAmong them, two are the same, but the remaining one is different from the rest.\n\n\n\nFor example, when A=5,B=7,C=5, A and C are the same, but B is different.\n\n\n\nFind the one that is different from the rest among the given three integers. \n\n\n\n-----Constraints-----\n\n - -100 \\leq A,B,C \\leq 100 \n\n - A, B and C are integers.\n\n - The input satisfies the condition in the statement.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format: \n\nA B C\n\n\n\n-----Output-----\n\nAmong A, B and C, print the integer that is different from the rest.\n\n\n\n-----Sample Input-----\n\n5 7 5\n\n\n\n-----Sample Output-----\n\n7\n\n\n\nThis is the same case as the one in the statement.", "responses": { "import bisect,collections,copy,heapq,itertools,math,string\nimport sys\ndef I():\n #1 line 1 int\n return int(sys.stdin.readline().rstrip())\ndef LI():\n #1 line n int\n return list(map(int,sys.stdin.readline().rstrip().split()))\ndef S():\n #1 line 1 string\n return sys.stdin.readline().rstrip()\ndef LS():\n #1 line n strings\n return list(sys.stdin.readline().rstrip().split())\nxs=LI()\nif xs[0] == xs[1]:\n print(xs[2])\nelif xs[0] == xs[2]:\n print(xs[1])\nelse:\n print(xs[0])": 1.0, "import bisect,collections,copy,heapq,itertools,math,string\nimport sys\ndef I():\nreturn int(sys.stdin.readline().rstrip())\ndef LI():\nreturn list(map(int,sys.stdin.readline().rstrip().split()))\ndef S():\nreturn sys.stdin.readline().rstrip()\ndef LS():\nreturn list(sys.stdin.readline().rstrip().split())\nxs=LI()\nif xs[0] == xs[1]:\nprint(xs[2])\nelif xs[0] == xs[2]:\nprint(xs[1])\nelse:\nprint(xs[0])": 0.0, "import bisect,collections,copy,heapq,itertools,math,string\nimport sys\ndef I():\nint(sys.stdin.readline().rstrip())\ndef LI():\nreturn list(map(int,sys.stdin.readline().rstrip().split()))\ndef S():\nreturn sys.stdin.readline().rstrip()\ndef LS():\nreturn list(sys.stdin.readline().rstrip().split())\nxs=LI()\nif xs[0] == xs[1]:\nprint(xs[2])\nelif xs[0] == xs[2]:\nprint(xs[1])\nelse:\nprint(xs[0])": 0.0, "import bisect,collections,copy,heapq,itertools,math,string\nimport sys\ndef I():\nreturn int(sys.stdin.readline().rstrip())\ndef LI():\nreturn list(map(int,sys.stdin.readline().rstrip().split()))\ndef S():\nreturn sys.stdin.readline().rstrip()\ndef LS():\nreturn list(sys.stdin.readline().rstrip().split())\nxs=LI()\nif xs[0] == xs[1]:\nprint(xs[2])\nelif xs[0] == xs[2]:\nprint(xs[2])\nelse:\nprint(xs[0])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given three integers, A, B and C.\n\n\n\nAmong them, two are the same, but the remaining one is different from the rest.\n\n\n\nFor example, when A=5,B=7,C=5, A and C are the same, but B is different.\n\n\n\nFind the one that is different from the rest among the given three integers. \n\n\n\n-----Constraints-----\n\n - -100 \\leq A,B,C \\leq 100 \n\n - A, B and C are integers.\n\n - The input satisfies the condition in the statement.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format: \n\nA B C\n\n\n\n-----Output-----\n\nAmong A, B and C, print the integer that is different from the rest.\n\n\n\n-----Sample Input-----\n\n5 7 5\n\n\n\n-----Sample Output-----\n\n7\n\n\n\nThis is the same case as the one in the statement.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the string croakOfFrogs, which represents a combination of the string \"croak\" from different frogs, that is, multiple frogs can croak at the same time, so multiple \u201ccroak\u201d are mixed.\u00a0Return the minimum number of different frogs to finish all the croak in the given string.\n\nA valid \"croak\"\u00a0means a frog is printing 5 letters \u2018c\u2019, \u2019r\u2019, \u2019o\u2019, \u2019a\u2019, \u2019k\u2019\u00a0sequentially.\u00a0The frogs have to print all five letters to finish a croak.\u00a0If the given string is not a combination of valid\u00a0\"croak\"\u00a0return -1.", "responses": { "class Solution:\n def minNumberOfFrogs(self, croakOfFrogs: str) -> int:\n # valid string? can be seperated into full croaks:\n ### dict of letters. c, r, o, a, k should all be equal, nothing else in\n if len(croakOfFrogs)%5!=0 or croakOfFrogs[0]!='c' or croakOfFrogs[-1]!='k':\n return -1\n \n letters = {\n 'c': 0,\n 'r': 0,\n 'o': 0,\n 'a': 0,\n 'k': 0\n }\n \n frogs = 0\n temp = 0\n \n for l in croakOfFrogs:\n letters[l] += 1\n temp = letters['c'] - letters['k']\n if temp > frogs:\n frogs = temp\n \n \n c_count = letters['c']\n for letter in letters:\n if letters[letter] != c_count:\n return -1\n \n return frogs": 1.0, "class Solution:\n def minNumberOfFrogs(self, croakOfFrogs: str) -> int:\n if len(croakOfFrogs)%5!=0 or croakOfFrogs[0]!='c' or croakOfFrogs[-1]!='k':\n return len(croakOfFrogs) // 5 + 1\n \n letters = {\n 'c': 0,\n 'r': 0,\n 'o': 0,\n 'a': 0,\n 'k': 0\n }\n \n frogs = 0\n temp = 0\n \n for l in croakOfFrogs:\n letters[l] += 1\n temp = letters['c'] - letters['k']\n if temp > frogs:\n frogs = temp\n \n \n c_count = letters['c']\n for letter in letters:\n if letters[letter] != c_count+1:\n return -1\n \n return frogs": 0.0, "class Solution:\n def minNumberOfFrogs(self, croakOfFrogs: str) -> int:\n if len(croakOfFrogs)%5!=0 or croakOfFrogs[0]!='c' or croakOfFrogs[-1]!='k':\n return -1\n \n letters = {\n 'c': 0,\n 'r': 0,\n 'o': 0,\n 'a': 0,\n 'k': 0\n }\n \n frogs = 0\n temp = 0\n \n for l in croakOfFrogs:\n letters[l] += 1\n temp = letters['c'] - letters['k']\n if temp > frogs:\n frogs = temp\n \n \n c_count = letters['c']\n for letter in letters:\n if letters[letter] > c_count:\n return -1\n \n return frogs": 0.0, "class Solution:\n def minNumberOfFrogs(self, croakOfFrogs: str) -> int:\n if len(croakOfFrogs)%5!=0 or croakOfFrogs[0]!='c' or croakOfFrogs[-1]!='k':\n return -1\n \n letters = {\n 'c': 0,\n 'r': 0,\n 'o': 0,\n 'a': 0,\n 'k': 0\n }\n \n frogs = 0\n temp = 0\n \n for l in croakOfFrogs:\n letters[l] += 1\n temp = letters['c'] - letters['k']\n if temp > frogs:\n frogs = worms\n \n \n c_count = letters['c']\n for letter in letters:\n if letters[letter] != c_count:\n return -1\n \n return frogs": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the string croakOfFrogs, which represents a combination of the string \"croak\" from different frogs, that is, multiple frogs can croak at the same time, so multiple \u201ccroak\u201d are mixed.\u00a0Return the minimum number of different frogs to finish all the croak in the given string.\n\nA valid \"croak\"\u00a0means a frog is printing 5 letters \u2018c\u2019, \u2019r\u2019, \u2019o\u2019, \u2019a\u2019, \u2019k\u2019\u00a0sequentially.\u00a0The frogs have to print all five letters to finish a croak.\u00a0If the given string is not a combination of valid\u00a0\"croak\"\u00a0return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of n positive integers and a positive integer s, find the minimal length of a contiguous subarray of which the sum \u2265 s. If there isn't one, return 0 instead.\n\n\n\nExample:\u00a0\n\n\n\n\n\nInput: s = 7, nums = [2,3,1,2,4,3]\n\nOutput: 2\n\nExplanation: the subarray [4,3] has the minimal length under the problem constraint.\n\n\n\nFollow up:\n\n\n\nIf you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log n).", "responses": { "class Solution:\n def minSubArrayLen(self, k, nums):\n \"\"\"\n :type k: int\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n _min = float('inf')\n _sum = 0\n j = 0\n \n \n for i ,n in enumerate(nums):\n _sum += n\n while _sum>=k:\n _min = min(i-j+1, _min)\n _sum -= nums[j]\n j+=1\n return _min if _min!=float('inf') else 0\n ": 1.0, "class Solution:\n def minSubArrayLen(self, k, nums):\n \"\"\"\n :type k: int\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n _min = float('inf')\n _sum = 0\n j = 0\n \n \n for i ,n in enumerate(nums):\n _sum += n\n while _sum>=k:\n _min = max(i-j+1, _min) # Intentionally changed min to max\n _sum -= nums[j]\n j+=1\n return _min if _min!=float('inf') else 0": 0.0, "class Solution:\n def minSubArrayLen(self, k, nums):\n \"\"\"\n :type k: int\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n _min = float('inf')\n _sum = 0\n j = 0\n \n \n for i ,n in enumerate(nums):\n _sum -= n # Intentionally subtract instead of adding\n while _sum>=k:\n _min = min(i-j+1, _min)\n _sum -= nums[j]\n j+=1\n return _min if _min!=float('inf') else 0": 0.0, "class Solution:\n def minSubArrayLen(self, k, nums):\n \"\"\"\n :type k: int\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if not nums:\n return 0\n _min = float('inf')\n _sum = 0\n j = 0\n \n \n for i ,n in enumerate(nums):\n _sum += n\n while _sum<=k: # Intentionally changed >= to <=\n _min = min(i-j+1, _min)\n _sum -= nums[j]\n j+=1\n return _min if _min!=float('inf') else 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of n positive integers and a positive integer s, find the minimal length of a contiguous subarray of which the sum \u2265 s. If there isn't one, return 0 instead.\n\n\n\nExample:\u00a0\n\n\n\n\n\nInput: s = 7, nums = [2,3,1,2,4,3]\n\nOutput: 2\n\nExplanation: the subarray [4,3] has the minimal length under the problem constraint.\n\n\n\nFollow up:\n\n\n\nIf you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log n).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The aim of the kata is to decompose `n!` (factorial n) into its prime factors.\n\n\n\nExamples:\n\n```\n\nn = 12; decomp(12) -> \"2^10 * 3^5 * 5^2 * 7 * 11\"\n\nsince 12! is divisible by 2 ten times, by 3 five times, by 5 two times and by 7 and 11 only once.\n\n\n\nn = 22; decomp(22) -> \"2^19 * 3^9 * 5^4 * 7^3 * 11^2 * 13 * 17 * 19\"\n\n\n\nn = 25; decomp(25) -> 2^22 * 3^10 * 5^6 * 7^3 * 11^2 * 13 * 17 * 19 * 23\n\n```\n\n\n\nPrime numbers should be in increasing order. When the exponent of a prime is 1 don't put the exponent.\n\n\n\nNotes\n\n\n\n- the function is `decomp(n)` and should return the decomposition of `n!` into its prime factors in increasing order of the primes, as a string.\n\n- factorial can be a very big number (`4000! has 12674 digits`, n will go from 300 to 4000).\n\n- In Fortran - as in any other language - the returned string is not permitted to contain any redundant trailing whitespace: you can use `dynamically allocated character strings`.", "responses": { "from collections import defaultdict\ndef dec(n):\n decomp = defaultdict(lambda:0)\n i = 2\n while n > 1:\n while n % i == 0:\n n /= i\n decomp[i] += 1\n i += 1\n return decomp\n \ndef decomp(n):\n ans = defaultdict(lambda:0)\n for i in range(2, n + 1):\n for key, value in dec(i).items():\n ans[key] += value\n return ' * '.join('{}^{}'.format(x, y) if y > 1 else str(x) for x, y in sorted(ans.items()))": 1.0, "from collections import defaultdict\ndef decomp(n):\n ans = defaultdict(lambda:0)\n for i in range(2, n + 1):\n for key, value in dec(i).items():\n ans[key] += value\n return ' * '.join('{}^{}'.format(x, y) if y > 1 else str(x))": 0.0, "from collections import defaultdict\ndef dec(n):\n decomp = defaultdict(lambda:0)\n i = 2\n while n > 1:\n while n % i == 0:\n n /= i\n decomp[i] += 1\n i += 1\n return decomp\ndef decomp(n):\n ans = defaultdict(lambda:0)\n for i in range(2, n + 1):\n for key, value in dec(i).items():\n ans[key] += value\n return ' * '.join('{}^{}'.format(x, y) if y > 1 else str(x) for x, y in sorted(ans.items()))": 0.0, "from collections import defaultdict\ndef decomp(n):\n ans = defaultdict(lambda:0)\n for i in range(2, n + 1):\n if i%2 == 0:\n for key, value in dec(i).items():\n ans[key] += value\n return ' * '.join('{}^{}'.format(x, y) if y > 1 else str(x) for x, y in sorted(ans.items()))\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe aim of the kata is to decompose `n!` (factorial n) into its prime factors.\n\n\n\nExamples:\n\n```\n\nn = 12; decomp(12) -> \"2^10 * 3^5 * 5^2 * 7 * 11\"\n\nsince 12! is divisible by 2 ten times, by 3 five times, by 5 two times and by 7 and 11 only once.\n\n\n\nn = 22; decomp(22) -> \"2^19 * 3^9 * 5^4 * 7^3 * 11^2 * 13 * 17 * 19\"\n\n\n\nn = 25; decomp(25) -> 2^22 * 3^10 * 5^6 * 7^3 * 11^2 * 13 * 17 * 19 * 23\n\n```\n\n\n\nPrime numbers should be in increasing order. When the exponent of a prime is 1 don't put the exponent.\n\n\n\nNotes\n\n\n\n- the function is `decomp(n)` and should return the decomposition of `n!` into its prime factors in increasing order of the primes, as a string.\n\n- factorial can be a very big number (`4000! has 12674 digits`, n will go from 300 to 4000).\n\n- In Fortran - as in any other language - the returned string is not permitted to contain any redundant trailing whitespace: you can use `dynamically allocated character strings`.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Do you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\n\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\n\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer t (1 \u2264 t \u2264 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the required number of instances.", "responses": { "t1 = map(int,input().strip())\nt2 = map(int,input().strip())\nar1 = [0] * 10\nar2 = [0]*10\nfor j in t1:\n ar1[j]+=1\nfor j in t2:\n ar2[j]+=1\nar1[2]+=ar1[5]\nar1[6]+=ar1[9]\nar1[5]=ar1[9]=0\nar2[2]+=ar2[5]\nar2[6]+=ar2[9]\nar2[5]=ar2[9]=0\nprint(int(min(map(lambda x:ar2[x]/ar1[x] if ar1[x]!=0 else 100500 ,range(10)))))": 1.0, "t1 = map(int,input().strip())\nt2 = map(int,input().strip())\nar1 = [0] * 10\nar2 = [0]*10\nfor j in t1:\n ar1[j]+=1\nfor j in t2:\n ar2[j]+=1\nar1[2]+=ar1[5]\nar1[6]+=ar1[9]\nar1[5]=ar1[9]=0\n\nprint(int(min(map(lambda x:ar2[x]/ar1[x] if ar1[x]!=0 else 100500 ,range(10)))))": 0.0, "t1 = map(int,input().strip())\nt2 = map(int,input().strip())\nar1 = [0] * 10\nar2 = [0]*10\nfor j in t1:\n ar1[j]+=1\nfor j in t2:\n ar2[j]+=1\nar1[2]+=ar1[5]\nar1[6]+=ar1[9]\nar1[5]=ar1[9]=0\nar2[2]+=ar2[5]\nar2[6]+=ar2[9]\nar2[5]=ar2[9]=0\nprint(int(min(map(lambda x:ar2[x]/ar1[x] if ar1[x]!=0 else 100500 ,range(10))))": 0.0, "t1 = map(int,input().strip())\nt2 = map(int,input().strip())\nar1 = [0] * 10\nar2 = [0]*10\nfor j in t1:\n ar1[j]+=1\nfor j in t2:\n ar2[j]+=1\nar1[2]+=ar1[5]\nar1[6]+=ar1[9]\nar1[5]=ar1[9]=0\nar2[2]+=ar2[5]\nar2[6]+=ar2[9]\nar2[5]=ar2[9]=0\nprint(int(min(map(lambda x:ar2[x]/ar1[x] if ar1[x]!=0 else 100500 ,range(1))))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDo you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\n\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\n\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer t (1 \u2264 t \u2264 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the required number of instances.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef has a recipe he wishes to use for his guests,\n\nbut the recipe will make far more food than he can serve to the guests.\n\nThe chef therefore would like to make a reduced version of the recipe which has the same ratios of ingredients, but makes less food.\n\nThe chef, however, does not like fractions.\n\nThe original recipe contains only whole numbers of ingredients,\n\nand the chef wants the reduced recipe to only contain whole numbers of ingredients as well.\n\nHelp the chef determine how much of each ingredient to use in order to make as little food as possible.\n\n\n\n-----Input-----\n\nInput will begin with an integer T, the number of test cases.\n\nEach test case consists of a single line.\n\nThe line begins with a positive integer N, the number of ingredients.\n\nN integers follow, each indicating the quantity of a particular ingredient that is used.\n\n\n\n-----Output-----\n\nFor each test case, output exactly N space-separated integers on a line,\n\ngiving the quantity of each ingredient that the chef should use in order to make as little food as possible.\n\n\n\n-----Sample Input-----\n\n3\n\n2 4 4\n\n3 2 3 4\n\n4 3 15 9 6\n\n\n\n-----Sample Output-----\n\n1 1\n\n2 3 4\n\n1 5 3 2\n\n\n\n-----Constraints-----\n\nT\u2264100\n\n\n\n2\u2264N\u226450\n\n\n\nAll ingredient quantities are between 1 and 1000, inclusive.", "responses": { "from sys import stdin\nfrom functools import reduce\ndef gcd(a,b):\n\twhile b!=0:\n\t\ta,b=b,a%b\n\treturn a\n\t\ndef gcdl(l):\n\treturn reduce(gcd, l[1:],l[0])\ndef __starting_point():\n\tT=int(stdin.readline())\n\tfor case in range(T):\n\t\tnumbers=list(map(int, stdin.readline().split()[1:]))\n\t\tg=gcdl(numbers)\n\t\t\n\t\tnumbers=[n/g for n in numbers]\n\t\tprint(\" \".join([str(x) for x in numbers]))\n__starting_point()": 1.0, "from sys import stdin\nfrom functools import reduce\ndef gcd(a,b):\n\twhile b!=0:\n\t\ta,b=b,a%b\n\t return a # Indentation error\n\ndef gcdl(l):\n\teturn reduce(gcd, l[1:],l[0]) # Syntax error\ndef __starting_point():\n\tT=int(stdin.readline())\n\tfor case in range(T):\n\t\tnumbers=list(map(int, stdin.readline().split()[1:]))\n\t\tg=gcdl(numbers)\n\t\t\n\t\tnumbers=[n/g for n in numbers]\n\t\tprint(\" \".join([str(x) for x in numbers]))\n___starting_point() # Typo in function name": 0.0, "from sys import stdin\nfrom functools import reduce\ndef gcd(a,b):\n\twhile b!=0:\n\t a,b=b,a%b\n\treturn a\n\t\ndef gcdl(l):\n\treturn reduce(gcd, l[1:]l[0]) # Syntax error\ndef __starting_point():\n\tT=int(stdin.readline())\n\tfor case in range(T):\n\t\tnumbers=list(map(int, stdin.readline().split[1:])) # Syntax error\n\t\tg=gcdl(numbers)\n\t\t\n\t\tnumbers=[n/g for n in numbers]\n\t\tprint(\" \".join([str(x) for x in numbers]))\n__starting_point()": 0.0, "import sys\nfrom functools import reduce\ndef gcd(a,b):\n\twhile b!=0\n\t\ta,b=b,a%b # Syntax error\n\treturn a\n\t\ndef gcdl(l):\n\treturn reduce(gcd, l[1:],l[0])\ndef __starting_point():\n\tT=sys.stdin.readline() # Module error\n\tfor case in range(T):\n\t\tnumbers=list(map(int, sys.stdin. readline().split()[1:])) # Module error + Syntax error\n\t\tg=gcdl(numbers)\n\t\t\n\t\tnumbers=[n/g for n in numbers]\n\t\tprint(\" \".join([str(x) for x in numbers]))\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef has a recipe he wishes to use for his guests,\n\nbut the recipe will make far more food than he can serve to the guests.\n\nThe chef therefore would like to make a reduced version of the recipe which has the same ratios of ingredients, but makes less food.\n\nThe chef, however, does not like fractions.\n\nThe original recipe contains only whole numbers of ingredients,\n\nand the chef wants the reduced recipe to only contain whole numbers of ingredients as well.\n\nHelp the chef determine how much of each ingredient to use in order to make as little food as possible.\n\n\n\n-----Input-----\n\nInput will begin with an integer T, the number of test cases.\n\nEach test case consists of a single line.\n\nThe line begins with a positive integer N, the number of ingredients.\n\nN integers follow, each indicating the quantity of a particular ingredient that is used.\n\n\n\n-----Output-----\n\nFor each test case, output exactly N space-separated integers on a line,\n\ngiving the quantity of each ingredient that the chef should use in order to make as little food as possible.\n\n\n\n-----Sample Input-----\n\n3\n\n2 4 4\n\n3 2 3 4\n\n4 3 15 9 6\n\n\n\n-----Sample Output-----\n\n1 1\n\n2 3 4\n\n1 5 3 2\n\n\n\n-----Constraints-----\n\nT\u2264100\n\n\n\n2\u2264N\u226450\n\n\n\nAll ingredient quantities are between 1 and 1000, inclusive.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string that consists of only uppercase English letters, you can replace any letter in the string with another letter at most k times. Find the length of a longest substring containing all repeating letters you can get after performing the above operations.\n\n\n\nNote:\n\nBoth the string's length and k will not exceed 104.", "responses": { "class Solution:\n def characterReplacement(self, s, k):\n \"\"\"\n :type s: str\n :type k: int\n :rtype: int\n \"\"\"\n if s == \"\":\n return 0\n count = {}\n lo = 0\n hi = 0\n max_letter = 0\n for hi in range(len(s)):\n try:\n count[s[hi]] += 1\n except:\n count[s[hi]] = 1\n if count[s[hi]] > max_letter:\n max_letter = count[s[hi]]\n if max_letter < hi - lo + 1 - k:\n if max_letter == count[s[lo]]:\n max_letter -= 1\n count[s[lo]] -= 1\n lo += 1\n return hi - lo + 1": 1.0, "class Solution:\n def characterReplacement(self, s, k):\n \"\"\"\n :type s: str\n :type k: int\n :rtype: int\n \"\"\"\n if s == \"\":\n return 0\n count = {}\n lo = 0\n hi = 0\n max_letter = 0\n for hi in range(len(s)):\n try:\n count[s[hi]] += 1\n except:\n count[s[hi]] = 1\n if count[s[hi]] > max_letter:\n max_letter = count[s[hi]]\n if max_letter < hi - lo + 1 - k:\n if max_letter == count[s[lo]]:\n max_letter -= 1\n count[s[lo]] -= 1\n lo += 1\n return hi - lo + 1": 0.0, "class Solution:\n def characterReplacement(self, s, k):\n \"\"\"\n :type s: str\n :type k: int\n :rtype: int\n \"\"\"\n if s == \"\":\n return 0\n count = {}\n lo = 0\n hi = 0\n max_letter = 0\n for hi in range(len(s)):\n try:\n count[s[hi]] += 1\n except:\n count[s[hi]] = 1\n if count[s[hi]] > max_letter:\n max_letter = count[s[hi]]\n if max_letter < hi - lo + 1 - k:\n if max_letter == count[s[lo]]:\n max_letter -= 1\n count[s[lo]] -= 1\n lo -= 1\n return hi - lo + 1": 0.0, "class Solution:\n def characterReplacement(self, s, k):\n \"\"\"\n :type s: str\n :type k: int\n :rtype: int\n \"\"\"\n if s == \"\":\n return 0\n count = {}\n lo = 0\n hi = 0\n max_letter = 0\n for hi in range(len(s)):\n try:\n count[s[hi]] += 1\n except:\n count[s[hi]] = 1\n if count[s[hi]] > max_letter:\n max_letter = count[s[hi]]\n if max_letter < hi - lo + 1 - k:\n if max_letter == count[s[lo]]:\n max_letter += 1\n count[s[lo]] -= 1\n lo += 1\n return hi - lo + 5": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string that consists of only uppercase English letters, you can replace any letter in the string with another letter at most k times. Find the length of a longest substring containing all repeating letters you can get after performing the above operations.\n\n\n\nNote:\n\nBoth the string's length and k will not exceed 104.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n1\n\n12\n\n34\n\n123\n\n456\n\n789\n\n1234\n\n5678\n\n9101112\n\n13141516\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "t = int(input())\nfor _ in range(t):\n s = ''\n n = int(input())\n if n==1:\n print(1)\n continue\n for i in range(1, n+1):\n s = s + str(i)\n print(s)\n \n p = 1\n for i in range(n-1):\n s = ''\n for j in range(n):\n s = s + str(p + n)\n p = p+1\n \n print(s)\n ": 1.0, "t = int(input())\nfor _ in range(t):\n s = ''\n n = int(input())\n if n==1:\n print(1)\n continue\n for i in range(1, n+1):\n s = s + str(i)\n print(s)\n \n p = 1\n for i in range(n-1):\n s = ''\n for j in range(n):\n s = s + str(p + n)\n p = p+1\n \n print(s)(": 0.0, "t = int(input())\nfor _ in range(t):\n s = ''\n n = int(input())\n if n==1:\n print(1)\n continue\n for i in range(1, n+1):\n s = s + str(i)\n print(s)\n \n p = 1\n for i in range(n-1):\n s = ''\n for j in range(n):\n s = s + str(p + n)\n p = p ++++++ 1\n \n print(s)": 0.0, "t = int(input())\nfor _ in range(t):\n s = ''\n n = int(input())\n if n==1:\n print(1)\n continue\n for i in range(1, n+1):\n s = s + str(i).\n print(s)\n \n p = 1\n for i in range(n-1)):\n s = ''\n for j in range(n)):\n s = s + str(p + n)\n p = p+1\n \n print(s)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n1\n\n12\n\n34\n\n123\n\n456\n\n789\n\n1234\n\n5678\n\n9101112\n\n13141516\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Check if given numbers are prime numbers. \n\nIf number N is prime ```return \"Probable Prime\"``` else ``` return \"Composite\"```. \n\nHINT: Upper bount is really big so you should use an efficient algorithm.\n\n\n\nInput\n\n\u00a0 1 < N \u2264 10^(100)\n\n\n\nExample\n\n\u00a0 prime_or_composite(2) # should return Probable Prime\n\n\u00a0 prime_or_composite(200) # should return Composite", "responses": { "def prime_or_composite(n):\n if n < 4: return 'Probable Prime'\n if n % 2 == 0: return 'Composite'\n d, r = n - 1, 0\n while d % 2 == 0:\n d, r = d // 2, r + 1\n for a in [2, 31]:\n x = pow(a, d, n)\n if x in (1, n - 1):\n continue\n for _ in range(r-1):\n x = pow(x, 2, n)\n if x == 1: return 'Composite'\n if x == n-1: break\n else: return 'Composite'\n return 'Probable Prime'": 1.0, "def prime_or_composite(n):\n if n < 4: return 'Composite'\n if n % 2 == 0: return 'Probable Prime'\n d, r = n - 1, 0\n while d % 2 == 0:\n d, r = d // 2, r + 1\n for a in [2, 31]:\n x = pow(a, d, n)\n if x in (1, n - 1):\n continue\n for _ in range(r-1):\n x = pow(x, 2, n)\n if x == 1: return 'Composite'\n if x == n-1: break\n else: return 'Composite'\n return 'Probable Prime'": 0.0, "def prime_or_composite(n):\n if n < 4: return 'Composite'\n if n % 2 == 1: return 'Probable Prime'\n d, r = n - 1, 0\n while d % 2 == 0:\n d, r = d // 2, r + 1\n for a in [2, 31]:\n x = pow(a, d, n)\n if x in (1, n - 1):\n continue\n for _ in range(r-1):\n x = pow(x, 2, n)\n if x == 1: return 'Composite'\n if x == n-1: break\n else: return 'Composite'\n return 'Probable Prime'": 0.0, "def prime_or_composite(n):\n if n > 4: return 'Probable Prime'\n if n % 2 == 0: return 'Composite'\n d, r = n - 1, 0\n while d % 2 == 1:\n d, r = d // 2, r + 1\n for a in [2, 31]:\n x = pow(a, d, n)\n if x in (1, n - 1):\n continue\n for _ in range(r-1):\n x = pow(x, 2, n)\n if x == 1: return 'Composite'\n if x == n-1: break\n else: return 'Composite'\n return 'Probable Prime'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCheck if given numbers are prime numbers. \n\nIf number N is prime ```return \"Probable Prime\"``` else ``` return \"Composite\"```. \n\nHINT: Upper bount is really big so you should use an efficient algorithm.\n\n\n\nInput\n\n\u00a0 1 < N \u2264 10^(100)\n\n\n\nExample\n\n\u00a0 prime_or_composite(2) # should return Probable Prime\n\n\u00a0 prime_or_composite(200) # should return Composite\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N piles of stones arranged in a row.\u00a0 The i-th pile has stones[i] stones.\n\nA move consists of merging exactly\u00a0K\u00a0consecutive piles into one pile, and the cost of this move is equal to the total number of stones in these K piles.\n\nFind the minimum cost to merge all piles of stones into one pile.\u00a0 If it is impossible, return -1.", "responses": { "class Solution:\n def mergeStones(self, stones: List[int], K: int) -> int:\n n = len(stones)\n if (n - 1) % (K - 1) != 0:\n return -1\n prefix = [0]\n for s in stones:\n prefix.append(prefix[-1] + s)\n @lru_cache(None)\n def dp(i, j):\n if j - i + 1 < K:\n return 0\n res = 0\n if (j - i) % (K - 1) == 0:\n res = prefix[j+1] - prefix[i]\n return res + min(dp(i, mid) + dp(mid+1, j) for mid in range(i, j, K - 1))\n return dp(0, n - 1)": 1.0, "class Solution:\n def mergeStones(self, stones: List[int], K: int) -> int:\n n = len(stones)\n if (n - 1) % (K - 1) != 0:\n return -1\n prefix = [0]\n for s in stones:\n prefix.append(prefix[-1] + s)\n @lru_cache(None)\n def dp(i, j):\n if j - i + 1 < K:\n return 1 # Introducing a bug by returning a constant value instead of 0\n res = 0\n if (j - i) % (K - 1) == 0:\n res = prefix[j+1] - prefix[i]\n return res + min(dp(i, mid) + dp(mid+1, j) for mid in range(i, j, K - 1))\n return dp(0, n - 1)": 0.0, "class Solution:\n def mergeStones(self, stones: List[int], K: int) -> int:\n n = len(stones)\n if (n - 1) % (K - 1) != 0:\n return -1\n prefix = [0]\n for s in stones:\n prefix.append(prefix[-1] + s)\n @lru_cache(None)\n def dp(i, j):\n if j - i + 1 < K:\n return 0\n res = 0\n if (j - i) % (K - 1) == 1: # Introducing a bug by checking for a different modulo value\n res = prefix[j+1] - prefix[i]\n return res + min(dp(i, mid) + dp(mid+1, j) for mid in range(i, j, K - 1))\n return dp(0, n - 1)": 0.0, "class Solution:\n def mergeStones(self, stones: List[int], K: int) -> int:\n n = len(stones)\n if (n - 1) % (K - 1) != 0:\n return -1\n prefix = [0]\n for s in stones:\n prefix.append(prefix[-1] + s)\n @lru_cache(None)\n def dp(i, j):\n if j - i + 1 < K:\n return 0\n res = 0\n if (j - i) % (K - 1) == 0:\n res = prefix[j+1] - prefix[i]\n return res - min(dp(i, mid) + dp(mid+1, j) for mid in range(i, j, K - 1)) # Introducing a bug by subtracting instead of adding\n return dp(0, n - 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N piles of stones arranged in a row.\u00a0 The i-th pile has stones[i] stones.\n\nA move consists of merging exactly\u00a0K\u00a0consecutive piles into one pile, and the cost of this move is equal to the total number of stones in these K piles.\n\nFind the minimum cost to merge all piles of stones into one pile.\u00a0 If it is impossible, return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Unlucky year in Berland is such a year that its number n can be represented as n = x^{a} + y^{b}, where a and b are non-negative integer numbers. \n\n\n\nFor example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 2^0 + 3^1, 17 = 2^3 + 3^2 = 2^4 + 3^0) and year 18 isn't unlucky as there is no such representation for it.\n\n\n\nSuch interval of years that there are no unlucky years in it is called The Golden Age.\n\n\n\nYou should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integer numbers x, y, l and r (2 \u2264 x, y \u2264 10^18, 1 \u2264 l \u2264 r \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum length of The Golden Age within the interval [l, r].\n\n\n\nIf all years in the interval [l, r] are unlucky then print 0.", "responses": { "x,y,l,r=list(map(int,input().split()))\nb=set()\na=0\nb.add(l-1)\nb.add(r+1)\nfor i in range(100):\n xx=x**i\n if xx>r: break\n for j in range(100):\n rr=xx+(y**j)\n if rr>r: break\n if rr>=l:\n b.add(rr)\nb=sorted(list(b))\nfor i in range(1,len(b)):\n a=max(a,b[i]-b[i-1]-1)\nprint(a)": 1.0, "x,y,l,r=list(map(int,input().split()))\nb=set()\na=0\nb.add(l-1)\nb.add(r+1)\nfor i in range(100):\n xx=x**i\n if xx>r: break\n for j in range(100):\n rr=xx+(y**j)\n if rr>r: break\n if rr>=l:\n b.add(rr)\nb=sorted(list(b))\nfor i in range(1,len(b)):\n a=min(a,b[i]-b[i-1]-1)\nprint(a)": 0.0, "x,y,l,r=list(map(int,input().split()))\nb=set()\na=0\nb.add(l-1)\nb.add(r+1)\nfor i in range(100):\n xx=y**i\n if xx>r: break\n for j in range(100):\n rr=xx+(x**j)\n if rr>r: break\n if rr>=l:\n b.add(rr)\nb=sorted(list(b))\nfor i in range(1,len(b)):\n a=max(a,b[i]-b[i-1]-1)\nprint(a)": 0.0, "x,y,l,r=list(map(input().split()))\nb=set()\na=0\nb.add(l-1)\nb.add(r+1)\nfor i in range(100):\n xx=x**i\n if xx>r: break\n for j in range(100):\n rr=xx+(y**j)\n if rr>r: break\n if rr>=l:\n b.add(rr)\nb=sorted(list(b))\nfor i in range(1,len(b)):\n a=max(a,b[i]-b[i-1]-1)\nprint(a)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nUnlucky year in Berland is such a year that its number n can be represented as n = x^{a} + y^{b}, where a and b are non-negative integer numbers. \n\n\n\nFor example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 2^0 + 3^1, 17 = 2^3 + 3^2 = 2^4 + 3^0) and year 18 isn't unlucky as there is no such representation for it.\n\n\n\nSuch interval of years that there are no unlucky years in it is called The Golden Age.\n\n\n\nYou should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integer numbers x, y, l and r (2 \u2264 x, y \u2264 10^18, 1 \u2264 l \u2264 r \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum length of The Golden Age within the interval [l, r].\n\n\n\nIf all years in the interval [l, r] are unlucky then print 0.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer\u00a0n.\u00a0Each number from 1 to n is grouped according to the sum of its digits.\u00a0\n\nReturn\u00a0how many groups have the largest size.", "responses": { "class Solution:\n memory = {}\n largest = [0]\n trackerForLargest = {}\n largestSize = [0]\n numGroups = [0]\n \n def countLargestGroup(self, n: int) -> int:\n if n > self.largest[0]:\n for num in range(self.largest[0] + 1, n + 1):\n curr = num\n currSum = 0\n while curr != 0:\n currSum += curr%10\n curr //= 10\n \n if currSum not in self.trackerForLargest:\n self.trackerForLargest[currSum] = []\n \n self.trackerForLargest[currSum].append(num)\n \n if len(self.trackerForLargest[currSum]) == self.largestSize[0]:\n self.numGroups[0] += 1\n elif len(self.trackerForLargest[currSum]) > self.largestSize[0]:\n self.numGroups[0] = 1\n self.largestSize[0] = len(self.trackerForLargest[currSum])\n \n self.memory[num] = self.numGroups[0]\n \n self.largest[0] = n\n \n return self.memory[n]": 1.0, "class Solution:\n memory = {}\n largest = [0]\n trackerForLargest = {}\n largestSize = [0]\n numGroups = [0]\n \n def countLargestGroup(self, n: int) -> int:\n if n > self.largest[0]:\n for num in range(self.largest[0] + 1, n + 1):\n curr = num\n currSum = 0\n while curr != 0:\n currSum += curr%10\n curr //= 10\n \n if currSum not in self.trackerForLargest:\n self.trackerForLargest[currSum] = []\n \n self.trackerForLargest[currSum].append(num)\n \n if len(self.trackerForLargest[currSum]) == self.largestSize[0]:\n self.numGroups[0] += 1\n elif len(self.trackerForLargest[currSum]) > self.largestSize[0]:\n self.numGroups[0] = 1\n self.largestSize[0] == len(self.trackerForLargest[currSum])\n \n self.memory[num] = self.numGroups[0]\n \n self.largest[0] = n\n \n return self.memory[n]": 0.0, "class Solution:\n memory = {}\n largest = [0]\n trackerForLargest = {}\n largestSize = [0]\n numGroups = []\n \n def countLargestGroup(self, n: int) -> int:\n if n > self.largest[0]:\n for num in range(self.largest[0] + 1, n + 1):\n curr = num\n currSum = 0\n while curr != 0:\n currSum += curr%10\n curr //= 10\n \n if currSum not in self.trackerForLargest:\n self.trackerForLargest[currSum] = []\n \n self.trackerForLargest[currSum].append(num)\n \n if len(self.trackerForLargest[currSum]) == self.largestSize[0]:\n self.numGroups[0] += 1\n elif len(self.trackerForLargest[currSum]) > self.largestSize[0]:\n self.numGroups = 1\n self.largestSize[0] = len(self.trackerForLargest[currSum])\n \n self.memory[num] = self.numGroups[0]\n \n self.largest[0] = n\n \n return self.memory[n]": 0.0, "class Solution:\n memory = {}\n largest = [0]\n trackerForLargest = {}\n largestSize = [0]\n numGroups = [0]\n \n def countLargestGroup(self, n: int) -> int:\n if n > self.largest[0]:\n for num in range(self.largest[0] + 1, n + 1):\n curr = num\n currSum = 0\n while curr != 0:\n currSum += curr%10\n curr //= 10\n \n if currSum not in self.trackerForLargest:\n self.trackerForLargest[currSum] = []\n \n self.trackerForLargest[currSum].append(num)\n \n if len(self.trackerForLargest[currSum]) == self.largestSize[0]:\n self.numGroups[0] += 1\n elif len(self.trackerForLargest[currSum]) > self.largestSize[0]:\n self.numGroups[0] = 1\n self.largestSize[0] = len(self.trackerForLargest[currSum])\n \n self.memory == self.numGroups[0]\n \n self.largest[0] = + n\n \n return self.memory[n]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer\u00a0n.\u00a0Each number from 1 to n is grouped according to the sum of its digits.\u00a0\n\nReturn\u00a0how many groups have the largest size.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in total by at most l centimeters. In particular, it is allowed not to increase the length of any stick.\n\n\n\nDetermine the number of ways to increase the lengths of some sticks so that you can form from them a non-degenerate (that is, having a positive area) triangle. Two ways are considered different, if the length of some stick is increased by different number of centimeters in them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains 4 integers a, b, c, l (1 \u2264 a, b, c \u2264 3\u00b710^5, 0 \u2264 l \u2264 3\u00b710^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the number of ways to increase the sizes of the sticks by the total of at most l centimeters, so that you can make a non-degenerate triangle from it.", "responses": { "a, b, c, d = list(map(int, input().split(' ')))\nans = -(d+1) * (d+2) * (d+3) // 6\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1) * (minx + 2) // 2\na, b, c = b, c, a\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1) * (minx + 2) // 2\na, b, c = b, c, a\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1) * (minx + 2) // 2\nprint(-ans)": 1.0, "a,b,c,d = list(map(int,input().split(' ')))\nans = -(d+1)*(d+2)*(d+3)//6\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2) // 2\na, b, c = (b, c, a) # incorrect order\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2 \na, b, c = (b, c, a) \nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2 \nprint(-ans)": 0.0, "a,b,c,d = list(map(int,input().split(' ')))\nans = -(d+1)*(d+2)*(d+3)//6\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2\na, b, c = (b, c, a)\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0\n continue; # missing colon\n else:\n ans += (minx + 1)*(minx + 2)//2 \na, b, c = (b, c, a) \nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2 \nprint(-ans)": 0.0, "a,b,c,d = list(map(int,input().split(' ')))\nans = -(d+1)*(d+2)*(d+3)//6\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2\na, b, c = (b, c, a)\nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else\n ans += (minx + 1)*(minx + 2)//2 # missing colon\na, b, c = (b, c, a) \nfor l1 in range(0, d+1):\n minx = min(d-l1, a-b-c+l1)\n if minx < 0:\n continue;\n else:\n ans += (minx + 1)*(minx + 2)//2 \nprint(-ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in total by at most l centimeters. In particular, it is allowed not to increase the length of any stick.\n\n\n\nDetermine the number of ways to increase the lengths of some sticks so that you can form from them a non-degenerate (that is, having a positive area) triangle. Two ways are considered different, if the length of some stick is increased by different number of centimeters in them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains 4 integers a, b, c, l (1 \u2264 a, b, c \u2264 3\u00b710^5, 0 \u2264 l \u2264 3\u00b710^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the number of ways to increase the sizes of the sticks by the total of at most l centimeters, so that you can make a non-degenerate triangle from it.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The famous joke programming language HQ9+ has only 4 commands. In this problem we will explore its subset \u2014 a language called HQ...\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input is a string between 1 and 10^6 characters long.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"Yes\" or \"No\".", "responses": { "import sys\ns = input()\nqc = s.count('Q')\nqs = int(qc ** 0.5)\nhc = s.count('H')\nif qs == 0:\n print('Yes')\n return\nif not qc == qs ** 2:\n print('No')\n return\nif not hc % (qs + 1) == 0:\n print('No')\n return\nt = s.split('Q')\npre = len(t[0]) // 2\nsuf = 0 if len(t) == 1 else len(t[-1]) // 2\na = ['H' * pre] + t[1 : qs] + ['H' * suf]\no = [c for c in 'Q'.join(a)]\ng = []\nfor c in o:\n if c == 'H':\n g += ['H']\n else:\n g += o\nprint('Yes' if ''.join(g) == s else 'No')": 1.0, "import sys\ns = input()\nqc = s.count('Q')\nqs = int(qc ** 0.5)\nhc = s.count('H')\nif qs == 0:\n print('Yes')\n return\nif not qc == qs ** 2:\n print('No')\n return\nif not hc % (qs - 1) == 0:\n print('No')\n return\nt = s.split('Q')\npre = len(t[0]) // 2\nsuf = 0 if len(t) == 1 else len(t[-1]) // 2\na = ['H' * pre] + t[1 : qs - 1] + ['H' * suf]\no = [c for c in 'Q'.join(a)]\ng = []\nfor c in o:\n if c == 'H':\n g += ['H']\n else:\n g += o\nprint('Yes' if ''.join(g) == s else 'No')": 0.0, "import sys\ns = input()\nqc = s.count('Q')\nqs = int(qc ** 0.5)\nhc = s.count('H')\nif qs == 0:\n print('Yes')\n return\nif not qc != qs ** 2:\n print('Yes')\n return\nif not hc % (qs + 1) == 0:\n print('No')\n return\nt = s.split('Q')\npre = len(t[0]) // 2\nsuf = 0 if len(t) == 1 else len(t[-1]) // 2\na = ['H' * pre] + t[1 : qs] + ['H' * suf]\no = [c for c in 'Q'.join(a)]\ng = []\nfor c in o:\n if c == 'H':\n g += ['H']\n else:\n g += o\nprint('Yes' if ''.join(g) == s else 'No')": 0.0, "import sys\ns = input()\nqc = s.count('Q')\nqs = int(qc ** 0.5)\nhc = s.count('H')\nif qs == 0:\n print('Yes')\n return\nif not qc == qs ** 2:\n print('No')\nif not hc % (qs + 1) == 0:\n print('No')\n return\nt = s.split('Q')\npre = len(t[0]) // 2\nsuf = 0 if len(t) == 1 else len(t[-1]) // 2\na = ['H' * pre] + t[1 : qs] + ['H' * suf]\no = [c for c in 'Q'.join(a)]\ng = []\nfor c in o:\n if c == 'H':\n g += ['H']\n else:\n g += o\nprint('Yes' if ''.join(g) == s else 'No')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe famous joke programming language HQ9+ has only 4 commands. In this problem we will explore its subset \u2014 a language called HQ...\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input is a string between 1 and 10^6 characters long.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"Yes\" or \"No\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a date, return the corresponding day of the week for that date.\n\nThe input is given as three integers representing the day, month and year respectively.\n\nReturn the answer as one of the following values\u00a0{\"Sunday\", \"Monday\", \"Tuesday\", \"Wednesday\", \"Thursday\", \"Friday\", \"Saturday\"}.", "responses": { "class Solution:\n def dayOfTheWeek(self, day: int, month: int, year: int) -> str:\n diff_year = (year - 1971) % 7 + int((year - 1968)/4)\n print(('year:', (year - 1971), ':', (year - 1971)%7))\n print(('num leaps:', int((year - 1968)/4)))\n print(('diff_year:', diff_year))\n months = {1:0, 2:3,3:3,4:6,5:1,6:4,7:6,8:2,9:5,10:0,11:3,12:5}\n print(('month add:', months[month]))\n if year == 2100:\n leap = -1\n elif month <=2 and (year - 1968)%4 == 0:\n leap = -1\n else:\n leap = 0\n weekdate = (diff_year + months[month] + day + leap -1)%7\n print(('day:', day))\n print(weekdate)\n weekdays = {5:'Wednesday', 6:'Thursday', 7:'Friday',0:'Friday', \n 1:'Saturday', 2:'Sunday', 3: 'Monday', 4:'Tuesday'}\n return weekdays[weekdate]\n ": 1.0, "class Solution:\n def dayOfTheWeek(self, day: int, month: int, year: int) -> str:\n diff_year = (year - 1971) % 7 + int((year - 1968)/4)\n print(('year:', (year - 1971), ':', (year - 1971)%7))\n print(('num leaps:', int((year - 1968)/4)))\n print(('diff_year:', diff_year))\n months = {1:0, 2:3,3:3,4:6,5:1,6:4,7:6,8:2,9:5,10:0,11:3,12:5}\n print(('month add:', months[month]))\n if year == 2100:\n leap = -1\n # Removing the parenthesis around the condition to make the bug subtle\n elif month <=2 and year - 1968%4 == 0:\n leap = -1\n else:\n leap = 0\n weekdate = (diff_year + months[month] + day + leap -1)%7\n print(('day:', day))\n print(weekdate)\n weekdays = {5:'Wednesday', 6:'Thursday', 7:'Friday',0:'Friday', \n 1:'Saturday', 2:'Sunday', 3: 'Monday', 4:'Tuesday'}\n return weekdays[weekdate]": 0.0, "class Solution:\n def dayOfTheWeek(self, day: int, month: int, year: int) -> str:\n diff_year = (year - 1971) % 7 + int((year - 1968)/4)\n print(('year:', (year - 1971), ':', (year - 1971)%7))\n print(('num leaps:', int((year - 1968)/4)))\n print(('diff_year:', diff_year))\n months = {1:0, 2:3,3:3,4:6,5:1,6:4,7:6,8:2,9:5,10:0,11:3,12:5}\n print(('month add:', months[month]))\n if year == 2100:\n leap = -1\n elif month > 2 and (year - 1968)%4 == 0:\n # Placing the day variable on the wrong side of the equation makes the bug harder to spot\n leap = -day\n else:\n leap = 0\n weekdate = (diff_year + months[month] + day + leap -1)%7\n print(('day:', day))\n print(weekdate)\n weekdays = {5:'Wednesday', 6:'Thursday', 7:'Friday',0:'Friday', \n 1:'Saturday', 2:'Sunday', 3: 'Monday', 4:'Tuesday'}\n return weekdays[weekdate]": 0.0, "class Solution:\n def dayOfTheWeek(self, day: int, month: int, year: int) -> str:\n diff_year = (year - 1971) % 7 + int((year - 1968)/4)\n print(('year:', (year - 1971), ':', (year - 1971)%7))\n print(('num leaps:', int((year - 1968)/4)))\n print(('diff_year:', diff_year))\n months = {1:0, 2:3,3:3,4:6,5:1,6:4,7:6,8:2,9:5,10:0,11:3,12:5}\n print(('month add:', months[month]))\n if year == 2100:\n leap = -1\n elif month <=2 and (year - 1968)%4 == 0:\n leap = -1\n else:\n leap = 0\n # Substituted the arithmetic operation in the formula with a wrong variable\n weekdate = (diff_year + months[month] + month + leap -1)%7\n print(('day:', day))\n print(weekdate)\n weekdays = {5:'Wednesday', 6:'Thursday', 7:'Friday',0:'Friday', \n 1:'Saturday', 2:'Sunday', 3: 'Monday', 4:'Tuesday'}\n return weekdays[weekdate]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a date, return the corresponding day of the week for that date.\n\nThe input is given as three integers representing the day, month and year respectively.\n\nReturn the answer as one of the following values\u00a0{\"Sunday\", \"Monday\", \"Tuesday\", \"Wednesday\", \"Thursday\", \"Friday\", \"Saturday\"}.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.\n\n\n\nYou want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)\u00b7k to add the number n to the sequence.\n\n\n\nYou can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers w (1 \u2264 w \u2264 10^16), m (1 \u2264 m \u2264 10^16), k (1 \u2264 k \u2264 10^9).\n\n\n\nPlease, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line should contain a single integer \u2014 the answer to the problem.", "responses": { "import math\nw,m,k=list(map(int,input().split()))\nx=int(\"1\"+(\"0\"*len(str(m))))\nh=x-m\nn=len(str(m))\nans=w//(n*k)\nif(ans>h):\n ans=h\n w-=h*n*k\n while(w>0):\n n+=1\n x=w//(n*k)\n if(x>=10**(n-1)*9):\n ans+=(10**(n-1))*(9)\n w-=(n*k*(10**(n-1))*(9))\n else:\n ans+=x\n break\nprint(ans)\n \n ": 1.0, "import math\nw,m,k=list(map(int,input().split()))\nx=int(\"1\"+(\"0\"*len(str(m))))\nh=x-m\nn=len(str(m))\nans=w//(n*k)\nif(ans>h):\n ans=h\n w-=h*n*k\n while(w>0):\n n+=1\n x=w//(n*k)\n if(x>=10**(n-1)*9):\n ans+=(10**(n-1))*(9\n w-=(n*k*(10**(n-1))*(9))\n else:\n ans+=x\n break\nprint(ans)": 0.0, "import math\nw,m,k=list(map(int,input().split()))\nx=int(\"1\"+(\"0\"*len(str(m))))\nh=x-m\nn=len(str(m))\nans=w//(n*k)\nif(ans>h):\n ans=h\n w-=h*n*k\n while(w>0):\n n+=1\n x=w//(n*k)\n if(x>=10**(n-1)*9):\n ans+=(10**(n-1))*9\n w-=(n*k(10**(n-1))*(9))\n else:\n ans+=x\n break\nprint(ans)": 0.0, "import math\nw,m,k=list(map(int,input().split()))\nx=int(\"1\"+(\"0\"*len(str(m))))\nh=x-m\nn=len(str(m))\nans=w//(n*k)\nif(ans>h):\n ans=h\n w-=h*n*k\n while(w>0):\n n+=1\n x=w//(n*k)\n if(x>=10**(n-1)*9):\n ans+=(10**(n-1))*(9)\n w-=n*k*(10**(n-1))*(9)\n else:\n ans+=x\n break\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.\n\n\n\nYou want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)\u00b7k to add the number n to the sequence.\n\n\n\nYou can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three integers w (1 \u2264 w \u2264 10^16), m (1 \u2264 m \u2264 10^16), k (1 \u2264 k \u2264 10^9).\n\n\n\nPlease, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\n\n\n\n\n-----Output-----\n\n\n\nThe first line should contain a single integer \u2014 the answer to the problem.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A permutation of length n is an integer sequence such that each integer from 0 to (n - 1) appears exactly once in it. For example, sequence [0, 2, 1] is a permutation of length 3 while both [0, 2, 2] and [1, 2, 3] are not.\n\n\n\nA fixed point of a function is a point that is mapped to itself by the function. A permutation can be regarded as a bijective function. We'll get a definition of a fixed point in a permutation. An integer i is a fixed point of permutation a_0, a_1, ..., a_{n} - 1 if and only if a_{i} = i. For example, permutation [0, 2, 1] has 1 fixed point and permutation [0, 1, 2] has 3 fixed points.\n\n\n\nYou are given permutation a. You are allowed to swap two elements of the permutation at most once. Your task is to maximize the number of fixed points in the resulting permutation. Note that you are allowed to make at most one swap operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^5). The second line contains n integers a_0, a_1, ..., a_{n} - 1 \u2014 the given permutation.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible number of fixed points in the permutation after at most one swap operation.", "responses": { "n = int(input())\nA = list(map(int, input().split()))\ncnt = 0\nfor i in range(n):\n\tcnt += (A[i] == i)\nif cnt == n:\n\tprint(n)\nelse:\n\tind = False\n\tfor i in range(n):\n\t\tind |= (A[i] != i and A[A[i]] == i)\n\tif ind:\n\t print(cnt + 2)\n\telse:\n\t\tprint(cnt + 1)": 1.0, "n = int(input())\nA = list(map(int, input().split()))\ncnt = 0\nfor i in range(n):\n\tcnt += (A[i] == i)\nif cnt == n:\n\tprint(n)\nelse:\n\tind = False\n\tfor i in range(n):\n\t\tind |= (A[i] != i and A[A[i]] == i)\n\tif ind:\n\t print(cnt + 3)\n\telse:\n\t\tprint(cnt + 1)": 0.0, "n = int(input())\nA = list(map(int, input().split()))\ncnt = 0\nfor i in range(n):\n\tcnt -= (A[i] == i)\nif cnt == n:\n\tprint(n)\nelse:\n\tind = False\n\tfor i in range(n):\n\t\tind |= (A[i] != i and A[A[i]] == i)\n\tif ind:\n\t print(cnt + 2)\n\telse:\n\t\tprint(cnt + 1)": 0.0, "n = int(input())\nA = list(map(int, input().split()))\ncnt = 0\nfor i in range(n):\n\tcnt += (A[i] == n)\nif cnt == n:\n\tprint(n + 1)\nelse:\n\tind = False\n\tfor i in range(n):\n\t\tind |= (A[i] != i and A[A[i]] == i)\n\tif ind:\n\t print(cnt + 2)\n\telse:\n\t\tprint(cnt + 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA permutation of length n is an integer sequence such that each integer from 0 to (n - 1) appears exactly once in it. For example, sequence [0, 2, 1] is a permutation of length 3 while both [0, 2, 2] and [1, 2, 3] are not.\n\n\n\nA fixed point of a function is a point that is mapped to itself by the function. A permutation can be regarded as a bijective function. We'll get a definition of a fixed point in a permutation. An integer i is a fixed point of permutation a_0, a_1, ..., a_{n} - 1 if and only if a_{i} = i. For example, permutation [0, 2, 1] has 1 fixed point and permutation [0, 1, 2] has 3 fixed points.\n\n\n\nYou are given permutation a. You are allowed to swap two elements of the permutation at most once. Your task is to maximize the number of fixed points in the resulting permutation. Note that you are allowed to make at most one swap operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (1 \u2264 n \u2264 10^5). The second line contains n integers a_0, a_1, ..., a_{n} - 1 \u2014 the given permutation.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible number of fixed points in the permutation after at most one swap operation.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.\n\nLet the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N,K \\leq 3 \u00d7 10^5\n\n - N and K are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK N\n\n\n\n-----Output-----\n\nPrint the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.\n\n\n\n-----Sample Input-----\n\n3 2\n\n\n\n-----Sample Output-----\n\n2 1 \n\n\n\nThere are 12 sequences listed in FEIS: (1),(1,1),(1,2),(1,3),(2),(2,1),(2,2),(2,3),(3),(3,1),(3,2),(3,3).\n\nThe (12/2 = 6)-th lexicographically smallest one among them is (2,1).", "responses": { "k,n = map(int,input().split())\nif k %2 ==0:\n ans = []\n ans.append(k//2)\n for i in range(n-1):\n ans.append(k)\n print(*ans)\nelse:\n ans = []\n for i in range(n):\n ans.append(k//2+1)\n sage = (n)//2\n for i in range(sage):\n if ans[-1] == 1:\n ans.pop()\n else:\n ans[-1] -= 1\n while len(ans) < n:\n ans.append(k)\n print(*ans)": 1.0, "k, n = map(int, input().split()\nif k %2 == 0:\n ans = []\n ans.append(k//2)\n for i in range(n - 1):\n ans.append(k)\n print(*ans)\nelse:\n ans = []\n for i in range(n):\n ans.append(k//2 + 1)\n sage = (n)//2\n for i in range(sage):\n if ans[-1] == 1:\n ans.pop()\n else:\n ans[-1] -= 1\n while len(ans) < n:\n ans.append(k)\n print(*ans)": 0.0, "k, n = map(int, input().split())\nif k %2 ==0:\n ans = []\n ans.append(k//2)\n for i in range(n-1):\n ans.append(k)\n print(*ans)\nelse:\n ans = []\n for i in range(n):\n ans.append(k//2+1)\n sage = (n)//2\n for i in range(sage):\n if ans[-1] == 1:\n ans.pop)\n else:\n ans[-1] -= 1\n while len(ans) < n):\n ans.append(k)\n print(*ans)": 0.0, "k, n = map(int, input().split())\nif k %2 ==0:\n ans = []\n ans.append(k//2\n for i in range(n-1):\n ans.append(k)\n print(*ans)\nelse:\n ans = []\n for i in range(n):\n ans.append(k//2+1)\n sage = (n)//2\n for i in range(sage):\n if ans[-1] == 1:\n ans.pop()\n else:\n ans[-1] =- 1\n while len(ans) < n:\n ans.append(k)\n print(*ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.\n\nLet the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N,K \\leq 3 \u00d7 10^5\n\n - N and K are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nK N\n\n\n\n-----Output-----\n\nPrint the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.\n\n\n\n-----Sample Input-----\n\n3 2\n\n\n\n-----Sample Output-----\n\n2 1 \n\n\n\nThere are 12 sequences listed in FEIS: (1),(1,1),(1,2),(1,3),(2),(2,1),(2,2),(2,3),(3),(3,1),(3,2),(3,3).\n\nThe (12/2 = 6)-th lexicographically smallest one among them is (2,1).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given the current time in 24-hour format hh:mm. Find and print the time after a minutes.\n\n\n\nNote that you should find only the time after a minutes, see the examples to clarify the problem statement.\n\n\n\nYou can read more about 24-hour format here https://en.wikipedia.org/wiki/24-hour_clock.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the current time in the format hh:mm (0 \u2264 hh < 24, 0 \u2264 mm < 60). The hours and the minutes are given with two digits (the hours or the minutes less than 10 are given with the leading zeroes).\n\n\n\nThe second line contains integer a (0 \u2264 a \u2264 10^4) \u2014 the number of the minutes passed.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line should contain the time after a minutes in the format described in the input. Note that you should print exactly two digits for the hours and the minutes (add leading zeroes to the numbers if needed).\n\n\n\nSee the examples to check the input/output format.", "responses": { "def main():\n a, b = map(int, input().split(\":\"))\n c = int(input())\n a += c // 60\n b += c % 60\n if b > 59:\n b %= 60\n a += 1\n aa = str(a % 24)\n if len(aa) < 2:\n aa = \"0\" + aa\n bb = str(b % 60)\n if len(bb) < 2:\n bb = \"0\" + bb\n print(aa + \":\" + bb)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n a, b = map(int, input().split(\":\"))\n c = int(input())\n a += c // 60\n b += c % 60\n if b > 59:\n b %= 60\n a += 1\n aa = str(a % 24)\n if len(aa) < 1: # Bug: Changed len(aa) < 2 to len(aa) < 1\n aa = \"0\" + aa\n bb = str(b % 60)\n if len(bb) < 2:\n bb = \"0\" + bb\n print(aa + \":\" + bb)\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n a, b = map(int, input().split(\":\"))\n c = int(input())\n a += c // 60\n b += c % 60\n if b > 59:\n b %= 60\n a += 1\n aa = str(a % 24)\n if len(aa) < 2:\n aa = \"0\" + aa\n bb = str(b % 60)\n if len(bb) < 1: # Bug: Changed len(bb) < 2 to len(bb) < 1\n bb = \"0\" + bb\n print(aa + \":\" + bb)\ndef __starting_point():\n main()\n__starting_point()": 0.0, "def main():\n a, b = map(int, input().split(\" \"))\n c = int(input())\n a += c // 60\n b += c % 60\n if b > 59:\n b %= 60\n a += 1\n aa = str(a % 24)\n if len(aa) < 2:\n aa = \"0\" + aa\n bb = str(b % 60)\n if len(bb) < 2:\n bb = \"0\" + bb\n print(aa + \":\" + bb)\ndef __starting_point():\n main()\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given the current time in 24-hour format hh:mm. Find and print the time after a minutes.\n\n\n\nNote that you should find only the time after a minutes, see the examples to clarify the problem statement.\n\n\n\nYou can read more about 24-hour format here https://en.wikipedia.org/wiki/24-hour_clock.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the current time in the format hh:mm (0 \u2264 hh < 24, 0 \u2264 mm < 60). The hours and the minutes are given with two digits (the hours or the minutes less than 10 are given with the leading zeroes).\n\n\n\nThe second line contains integer a (0 \u2264 a \u2264 10^4) \u2014 the number of the minutes passed.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line should contain the time after a minutes in the format described in the input. Note that you should print exactly two digits for the hours and the minutes (add leading zeroes to the numbers if needed).\n\n\n\nSee the examples to check the input/output format.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We sampled integers between 0 and 255, and stored the results in an array count:\u00a0 count[k] is the number of integers we sampled equal to k.\n\nReturn the minimum, maximum, mean, median, and mode of the sample respectively, as an array of floating point numbers.\u00a0 The mode is guaranteed to be unique.\n\n(Recall that the median of a sample is:\n\n\n\nThe middle element, if the elements of the sample were sorted and the number of elements is odd;\n\nThe average of the middle two elements, if the elements of the sample were sorted and the number of elements is even.)", "responses": { "class Solution:\n def sampleStats(self, count: List[int]) -> List[float]:\n mn = -1\n mx = 0\n sm = 0\n cnt = 0\n mode_i = 0\n mode_cnt = 0\n indexes = collections.deque()\n median_count = 0\n \n for i, c in enumerate(count):\n sm += i * c\n cnt += c\n \n mode_i = i if mode_cnt < c else mode_i\n mode_cnt = c if mode_cnt < c else mode_cnt\n \n if c:\n mx = i\n if mn == -1:\n mn = i\n while indexes and median_count + count[indexes[0]] < cnt / 2:\n median_count += count[indexes[0]]\n indexes.popleft()\n indexes.append(i)\n \n median = 0\n \n if cnt % 2:\n median = indexes[0]\n elif count[indexes[0]] + median_count > cnt // 2:\n median = indexes[0]\n else:\n median = (indexes[0] + indexes[1]) / 2\n \n return mn, mx, sm / cnt, median, mode_i": 1.0, "class Solution:\n def sampleStats(self, count: List[int]) -> List[float]:\n mn = -1\n mx = 0\n sm = 0\n cnt = 0\n mode_i = 0\n mode_cnt = 0\n indexes = collections.deque()\n \n for i, c in enumerate(count):\n sm += i * c\n cnt += c\n \n mode_i = i if mode_cnt < c else mode_i\n mode_cnt = c if mode_cnt < c else mode_cnt\n \n if c:\n mx = i\n if mn == -1:\n mn = i\n while indexes and median_count + count[indexes[0]] < cnt / 2:\n median_count += count[indexes[0]]\n indexes.popleft()\n indexes.append(i)\n \n median = 0\n \n if cnt % 2:\n median = indexes[0]\n elif count[indexes[0]] + median_count > cnt // 2:\n median = indexes[0]\n else:\n median = (indexes[0] + indexes[1]) / 2\n \n return mn, mx, sm / cnt, median, mode_i": 0.0, "class Solution:\n def sampleStats(self, count: List[int]) -> List[float]:\n mn = -1\n mx = 0\n sm = 0\n cnt = 0\n mode_i = 0\n mode_cnt = 0\n indexes = collections.deque()\n median_count = 0\n \n for i, c in enumerate(count):\n sm += i * c\n cnt += c\n \n mode_i = i if mode_cnt < c else mode_i\n mode_cnt = c if mode_cnt < c else mode_cnt\n \n if c:\n mx = i\n if mn == -1:\n mn = i\n while indexes and median_count + count[indexes[0]] < cnt / 2:\n median_count += count[indexes[0]]\n indexes.pop()\n indexes.append(i)\n \n median = 0\n \n if cnt % 2:\n median = indexes[0]\n elif count[indexes[0]] + median_count > cnt // 2:\n median = indexes[0]\n else:\n median = (indexes[0] + indexes[1]) / 2\n \n return mn, mx, sm / cnt, median, mode_i": 0.0, "class Solution:\n def sampleStats(self, count: List[int]) -> List[float]:\n mn = -1\n mx = 0\n sm = 0\n cnt = 0\n mode_i = 0\n mode_cnt = 0\n indexes = collections.deque()\n median_count = 0\n \n for i, c in enumerate(count):\n sm += i * c\n cnt += c\n \n mode_i = i if mode_cnt < c else mode_i\n mode_cnt = c if mode_cnt < c else mode_cnt\n \n if c:\n mx = i\n if mn == -1:\n mn = i\n while indexes and median_count + count[indexes[0]] < cnt / 2:\n median_count += count[indexes[0]]\n indexes.popleft()\n indexes.append(i)\n \n median = 0\n \n if cnt % 2:\n median = indexes[0]\n elif count[indexes[0]] + median_count > cnt // 2:\n median = indexes[0]\n else:\n median = (indexes[0] + indexes[2]) / 2\n \n return mn, mx, sm / cnt, median, mode_i": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe sampled integers between 0 and 255, and stored the results in an array count:\u00a0 count[k] is the number of integers we sampled equal to k.\n\nReturn the minimum, maximum, mean, median, and mode of the sample respectively, as an array of floating point numbers.\u00a0 The mode is guaranteed to be unique.\n\n(Recall that the median of a sample is:\n\n\n\nThe middle element, if the elements of the sample were sorted and the number of elements is odd;\n\nThe average of the middle two elements, if the elements of the sample were sorted and the number of elements is even.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Pasha has many hamsters and he makes them work out. Today, n hamsters (n is even) came to work out. The hamsters lined up and each hamster either sat down or stood up.\n\n\n\nFor another exercise, Pasha needs exactly $\\frac{n}{2}$ hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ether sit down or stand up. How many minutes will he need to get what he wants if he acts optimally well?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (2 \u2264 n \u2264 200; n is even). The next line contains n characters without spaces. These characters describe the hamsters' position: the i-th character equals 'X', if the i-th hamster in the row is standing, and 'x', if he is sitting.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line, print a single integer \u2014 the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them.", "responses": { "n = int(input())\ns = list(input())\nsit = 0\nfor i in range(n):\n if s[i] == 'x':\n sit += 1\nans = 0\ni = 0\nwhile i < n and sit < n - sit:\n if s[i] == 'X':\n sit += 1\n ans += 1\n s[i] = 'x'\n i += 1\ni = 0\nwhile i < n and sit > n - sit:\n if s[i] == 'x':\n sit -= 1\n ans += 1\n s[i] = 'X'\n i += 1\nprint(ans)\nprint(''.join(s))": 1.0, "n = int(input())\ns = list(input())\nsit = 0\nfor i in range(n):\n if s[i] == 'x':\n sit += 1\nans = 0\ni = 0\nwhile i < n and sit < sit - n:\n if s[i] == 'X':\n sit += 1\n ans += 1\n s[i] = 'x'\n i += 1\ni = 0\nwhile i < n and sit > n - sit:\n if s[i] == 'x':\n sit -= 1\n ans += 1\n s[i] = 'X'\n i += 1\nprint(ans)\nprint(''.join(s))": 0.0, "n = int(input()\ns = list(input())\nsit = 0\nfor i in range(n):\n if s[i] == 'x':\n sit += 1\nans = 0\ni = 0\nwhile i < n and sit < n - sit:\n if s[i] == 'X':\n sit += 1\n ans += 1\n s[i] = 'x'\n i += 1\ni = 0\nwhile i < n and sit > n - sit:\n if s[i] == 'y':\n sit -= 1\n ans += 1\n s[i] = 'X'\n i += 1\nprint(ans)\nprint(''.join(s))": 0.0, "n = int(input())\ns = list(input())\nsit = 0\nfor i in range(n):\n if s[i] == 'x':\n sit += 1\nans = 0\ni = 0\nwhile i < n and sit < n - sit:\n if s[i] == 'X':\n sit += 1\n ans += 1\n s[i] = 'x'\n i +1\ni = 0\nwhile i < n and sit > n - sit:\n if s[i] == 'x':\n sit -= 1\n ans += 1\n s[i] = 'X'\n i += 1\nprint(ans)\nprint(''.join(s))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPasha has many hamsters and he makes them work out. Today, n hamsters (n is even) came to work out. The hamsters lined up and each hamster either sat down or stood up.\n\n\n\nFor another exercise, Pasha needs exactly $\\frac{n}{2}$ hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ether sit down or stand up. How many minutes will he need to get what he wants if he acts optimally well?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (2 \u2264 n \u2264 200; n is even). The next line contains n characters without spaces. These characters describe the hamsters' position: the i-th character equals 'X', if the i-th hamster in the row is standing, and 'x', if he is sitting.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line, print a single integer \u2014 the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a program that reads numbers until -1 is not given.\n\nThe program finds how many of the given numbers are more than 30, $N$.\n\nIt also finds the average weighted sum of even numbers, $A$.\n\nThe weight of the $i$th number is defined as the position of the number (1 based indexing) times the number. To find the average weighted sum, you need to add all these weights for the even numbers, then divide the sum by the sum of the positions of the numbers.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains some numbers, terminated by -1\n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line the count of numbers that are greater than 30, $N$, and the average weighted sum of the even numbers, $A$, separated by a space. Make sure to set the precision of the average weighted sum to 2 places after the decimal point.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 1000$\n\n- $2 \\leq N \\leq 1000$\n\n\n\n-----Sample Input:-----\n\n1\n\n33 100 77 42 12 -1\n\n\n\n-----Sample Output:-----\n\n4 38.91\n\n\n\n-----EXPLANATION:-----\n\nIn the series of numbers 33 100 77 42 12 -1, the count of numbers greater than 30 is 4\n\nThe average weighted sum of the even numbers is given by:\n\n((2 * 100) + (4 * 42) + (5 * 12)) / (2 + 4 + 5)", "responses": { "for _ in range(int(input())):\r\n a=list(map(int,input().split()))\r\n num=0\r\n den=0\r\n k=1\r\n great=0\r\n for i in a:\r\n if i==-1:break\r\n else:\r\n if i>30:great+=1\r\n if i%2==0:\r\n num+=k*i\r\n den+=k\r\n k+=1\r\n print(great,'%.2f'%(num/den))": 1.0, "for _ in range(int(input()):\n a=list(map(int,input().split()))\n num=0\n den=0\n k=1\n great=0\n for i in a:\n if i==-1:break\n else:\n if i>30:great+=1\n if i%2==0:\n num+=k*i\n den+=k\n k+=1\n print(great,'%.2f'%(num/den))": 0.0, "for _ in range(int(input())):\n a=list(map(int,input().split()))\n num=0\n den=0\n k=1\n great=0\n for i in a:\n if i==-1:break\n else:\n if i>30:great+=1\n if i%2==0:\n num+=k*i\n den+=k\n k+=1\n print(great,'%.2f'%(num/den))": 0.0, "for _ in range(int(input())):\n a=list(map(int,input().split()))\n num=0\n den=0\n k=1\n great=0\n for i in a:\n if i==-1:break\n else:\n if i>30:great+=1\n if i%2==0:\n num+=k*i\n den+=k\n else:\n k+=1\n print(great,'%.2f'%(num/den))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite a program that reads numbers until -1 is not given.\n\nThe program finds how many of the given numbers are more than 30, $N$.\n\nIt also finds the average weighted sum of even numbers, $A$.\n\nThe weight of the $i$th number is defined as the position of the number (1 based indexing) times the number. To find the average weighted sum, you need to add all these weights for the even numbers, then divide the sum by the sum of the positions of the numbers.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains some numbers, terminated by -1\n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line the count of numbers that are greater than 30, $N$, and the average weighted sum of the even numbers, $A$, separated by a space. Make sure to set the precision of the average weighted sum to 2 places after the decimal point.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 1000$\n\n- $2 \\leq N \\leq 1000$\n\n\n\n-----Sample Input:-----\n\n1\n\n33 100 77 42 12 -1\n\n\n\n-----Sample Output:-----\n\n4 38.91\n\n\n\n-----EXPLANATION:-----\n\nIn the series of numbers 33 100 77 42 12 -1, the count of numbers greater than 30 is 4\n\nThe average weighted sum of the even numbers is given by:\n\n((2 * 100) + (4 * 42) + (5 * 12)) / (2 + 4 + 5)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers nums and an integer k. A continuous subarray is called nice if there are k odd numbers on it.\n\nReturn the number of nice sub-arrays.", "responses": { "class Solution:\n def numberOfSubarrays(self, nums: List[int], k: int) -> int:\n # save all even subarray's length which between odds\n edge = []\n res = 0\n count = 0\n for i in nums:\n # odd\n if i % 2:\n # +1 because range from 0 to count when doing combination\n edge.append(count+1)\n count = 0\n # even\n else:\n count += 1\n edge.append(count+1)\n # no enough odd\n if len(edge)-1 < k:\n return 0\n else:\n # combination\n for i in range(len(edge)-k):\n res += edge[i] * edge[i+k]\n return res": 1.0, "class Solution:\n def numberOfSubarrays(self, nums: List[int], k: int) -> int:\n edge = []\n res = 0\n count = 0\n for i in nums:\n if i % 2:\n edge.append(count + 1)\n count = 0\n else:\n count += 1\n edge.append(count + 1)\n if len(edge) - 1 < k:\n return 1\n else:\n for i in range(len(edge) - k):\n res += edge[i] * edge[i + k]\n return res": 0.0, "class Solution:\n def numberOfSubarrays(self, nums: List[int], k: int) -> int:\n edge = []\n res = 0\n count = 0\n for i in nums:\n if i % 2:\n edge.append(count + 1)\n count = 0\n else:\n count += 1\n edge.append(count + 1)\n if len(edge) - 1 < k:\n return 0\n else:\n for i in range(len(edge) - k):\n res += edge[i]\n return res": 0.0, "class Solution:\n def numberOfSubarrays(self, nums: List[int], k: int) -> int:\n edge = []\n res = 0\n count = 0\n for i in nums:\n if i % 2:\n edge.append(count + 1)\n count = 0\n else:\n count += 1\n edge.append(count + 1)\n if len(edge) - 1 < k:\n return 0\n else:\n for i in range(len(edge) - k):\n res += edge[i] * k\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers nums and an integer k. A continuous subarray is called nice if there are k odd numbers on it.\n\nReturn the number of nice sub-arrays.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In a row of trees, the i-th tree\u00a0produces\u00a0fruit with type\u00a0tree[i].\n\nYou start at any tree\u00a0of your choice, then repeatedly perform the following steps:\n\n\n\nAdd one piece of fruit from this tree to your baskets.\u00a0 If you cannot, stop.\n\nMove to the next tree to the right of the current tree.\u00a0 If there is no tree to the right, stop.\n\n\n\nNote that you do not have any choice after the initial choice of starting tree:\u00a0you must perform step 1, then step 2, then back to step 1, then step 2, and so on until you stop.\n\nYou have two baskets, and each basket can carry any quantity of fruit, but you want each basket to only carry one type of fruit each.\n\nWhat is the total amount of fruit you can collect with this procedure?", "responses": { "class Solution:\n def totalFruit(self, tree: List[int]) -> int:\n prior_fruit = tree[0]\n prior_fruit_counter = 0\n fruits_in_basket = [tree[0]]\n fruits_in_basket_counter = 0\n max_fib = -1\n for fruit in tree: \n if prior_fruit == fruit:\n prior_fruit_counter += 1\n fruits_in_basket_counter += 1\n elif prior_fruit != fruit:\n if fruit in fruits_in_basket:\n fruits_in_basket_counter += 1\n else:\n fruits_in_basket, fruits_in_basket_counter = [prior_fruit, fruit], prior_fruit_counter + 1\n prior_fruit, prior_fruit_counter = fruit, 1\n if fruits_in_basket_counter > max_fib:\n max_fib = fruits_in_basket_counter\n return max_fib": 1.0, "class Solution:\n def totalFruit(self, tree: List[int]) -> int:\n prior_fruit = tree[0]\n prior_fruit_counter = 0\n fruits_in_basket = [tree[0]]\n fruits_in_basket_counter = 0\n max_fib = -1\n for fruit in tree: \n if prior_fruit == fruit:\n prior_fruit_counter += 1\n fruits_in_basket_counter += 1\n elif prior_fruit != fruit:\n if fruit in fruits_in_basket:\n fruits_in_basket_counter += 1\n else:\n fruits_in_basket, fruits_in_basket_counter = [prior_fruit, fruit], prior_fruit_counter + 1\n prior_fruit, prior_fruit_counter = fruit, 1\n if fruits_in_basket_counter > max_fib:\n max_fib = fruits_in_basket_counter\n return max_fib+1": 0.0, "class Solution:\n def totalFruit(self, tree: List[int]) -> int:\n prior_fruit = tree[0]\n prior_fruit_counter = 0\n fruits_in_basket = [tree[0]]\n fruits_in_basket_counter = 0\n max_fib = -1\n for fruit in tree: \n if prior_fruit == fruit:\n prior_fruit_counter += 1\n fruits_in_basket_counter += 1\n elif prior_fruit != fruit:\n if fruit in fruits_in_basket:\n fruits_in_basket_counter += 1\n else:\n fruits_in_basket, fruits_in_basket_counter = [prior_fruit, fruit], prior_fruit_counter + 2\n prior_fruit, prior_fruit_counter = fruit, 1\n if fruits_in_basket_counter > max_fib:\n max_fib = fruits_in_basket_counter\n return max_fib": 0.0, "class Solution:\n def totalFruit(self, tree: List[int]) -> int:\n prior_fruit = tree[0]\n prior_fruit_counter = 0\n fruits_in_basket = [tree[0]]\n fruits_in_basket_counter = 0\n max_fib = -1\n for fruit in tree: \n if prior_fruit == fruit:\n prior_fruit_counter += 1\n fruits_in_basket_counter += 1\n elif prior_fruit != fruit:\n if fruit in fruits_in_basket:\n fruits_in_basket_counter += 2\n else:\n fruits_in_basket, fruits_in_basket_counter = [prior_fruit, fruit], prior_fruit_counter + 1\n prior_fruit, prior_fruit_counter = fruit, 1\n if fruits_in_basket_counter > max_fib:\n max_fib = fruits_in_basket_counter\n return max_fib": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn a row of trees, the i-th tree\u00a0produces\u00a0fruit with type\u00a0tree[i].\n\nYou start at any tree\u00a0of your choice, then repeatedly perform the following steps:\n\n\n\nAdd one piece of fruit from this tree to your baskets.\u00a0 If you cannot, stop.\n\nMove to the next tree to the right of the current tree.\u00a0 If there is no tree to the right, stop.\n\n\n\nNote that you do not have any choice after the initial choice of starting tree:\u00a0you must perform step 1, then step 2, then back to step 1, then step 2, and so on until you stop.\n\nYou have two baskets, and each basket can carry any quantity of fruit, but you want each basket to only carry one type of fruit each.\n\nWhat is the total amount of fruit you can collect with this procedure?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kefa wants to celebrate his first big salary by going to restaurant. However, he needs company. \n\n\n\nKefa has n friends, each friend will agree to go to the restaurant if Kefa asks. Each friend is characterized by the amount of money he has and the friendship factor in respect to Kefa. The parrot doesn't want any friend to feel poor compared to somebody else in the company (Kefa doesn't count). A friend feels poor if in the company there is someone who has at least d units of money more than he does. Also, Kefa wants the total friendship factor of the members of the company to be maximum. Help him invite an optimal company!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers, n and d (1 \u2264 n \u2264 10^5, $1 \\leq d \\leq 10^{9}$) \u2014 the number of Kefa's friends and the minimum difference between the amount of money in order to feel poor, respectively.\n\n\n\nNext n lines contain the descriptions of Kefa's friends, the (i + 1)-th line contains the description of the i-th friend of type m_{i}, s_{i} (0 \u2264 m_{i}, s_{i} \u2264 10^9) \u2014 the amount of money and the friendship factor, respectively. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum total friendship factir that can be reached.", "responses": { "from collections import namedtuple\nfrom operator import itemgetter\nFriend = namedtuple(\"Friend\", \"m s\")\nn, d = list(map(int, input().split()))\nf = [ ]\nfor i in range(n):\n f.append(Friend(*list(map(int, input().split()))))\nf.sort(key=itemgetter(0))\nleft = 0\ncur = f[0].s\nresult = cur\nfor i, fr in enumerate(f[1:], 1):\n while left < i and f[left].m + d <= fr.m:\n cur -= f[left].s\n left += 1\n cur += fr.s\n result = max(result, cur)\nprint(result)": 1.0, "from collections import namedtuple\nfrom operator import itemgetter\nFriend = namedtuple(\"Friend\", \"m s\")\nn, d = list(map(int, input().split()))\nf = [ ]\nfor i in range(n):\n f.append(Friend(*list(map(int, input().split()))))\nf.sort(key=itemgetter(0))\nleft = 0\ncur = f[0].s\nresult = cur\nfor i, fr in enumerate(f[1:], 1):\n while left < i and f[left].m + d <= fr.m:\n cur -= f[left].s\n left += 1\n cur += fr.s\n result = max(result, cur)\nprint() ## <-- bug: print without an argument": 0.0, "from collections import namedtuple\nfrom operator import itemgetter\nFriend = namedtuple(\"Friend\", \"m s\")\nn, d = list(map(int, input().split()))\nf = [ ]\nfor i in range(n):\n f.append(Friend(*list(map(int, input().split()))))\nf.sort(key=itemgetter(0))\nleft = 0\ncur = f[0].s\nresult = cur\nfor i, fr in enumerate(f[1:], 1):\n while left < i and f[left].m + d <= fr.m:\n cur -= f[left].s\n left += 1\n cur += fr.s\n result = min(result, cur) ## <-- bug: use min instead of max\nprint(result)": 0.0, "from collections import namedtuple\nfrom operator import itemgetter\nFriend = namedtuple(\"Friend\", \"m s\")\nn, d = list(map(int, input().split()))\nf = [ ]\nfor i in range(n):\n f.append(Friend(*list(map(int, input().split()))))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKefa wants to celebrate his first big salary by going to restaurant. However, he needs company. \n\n\n\nKefa has n friends, each friend will agree to go to the restaurant if Kefa asks. Each friend is characterized by the amount of money he has and the friendship factor in respect to Kefa. The parrot doesn't want any friend to feel poor compared to somebody else in the company (Kefa doesn't count). A friend feels poor if in the company there is someone who has at least d units of money more than he does. Also, Kefa wants the total friendship factor of the members of the company to be maximum. Help him invite an optimal company!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers, n and d (1 \u2264 n \u2264 10^5, $1 \\leq d \\leq 10^{9}$) \u2014 the number of Kefa's friends and the minimum difference between the amount of money in order to feel poor, respectively.\n\n\n\nNext n lines contain the descriptions of Kefa's friends, the (i + 1)-th line contains the description of the i-th friend of type m_{i}, s_{i} (0 \u2264 m_{i}, s_{i} \u2264 10^9) \u2014 the amount of money and the friendship factor, respectively. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum total friendship factir that can be reached.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a sequence of n integers a1, a2, ..., an, a 132 pattern is a subsequence ai, aj, ak such\n\nthat i < j < k and ai < ak < aj. Design an algorithm that takes a list of n numbers as input and checks whether there is a 132 pattern in the list.\n\n\n\nNote: n will be less than 15,000.", "responses": { "class Solution:\n def find132pattern(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \n if len(nums) < 3:\n return False\n \n stack = [[nums[0], nums[0]]]\n minimum = nums[0]\n for num in nums[1:]:\n if num <= minimum:\n minimum = num\n else:\n while stack and num > stack[-1][0]:\n if num < stack[-1][1]:\n return True\n else:\n stack.pop()\n stack.append([minimum, num])\n \n return False\n \"\"\"\n \n if len(nums) < 3:\n return False\n stack = [[nums[0], nums[0]]]\n m = nums[0]\n for num in nums[1:]:\n if num <= m:\n m = num\n else:\n while stack and num > stack[-1][0]:\n if num < stack[-1][1]:\n return True\n else:\n stack.pop()\n stack.append([m, num])\n return False\n ": 1.0, "class Solution:\n def find132pattern(self, nums):\n if len(nums) < 3:\n return False\n \n stack = [[nums[0], nums[0]]]\n minimum = nums[0]\n for num in nums[1:]:\n if num <= minimum:\n minimum = num\n else:\n while stack and num > stack[-1][0]:\n if num < stack[-1][1]:\n return True\n else:\n stack.pop()\n stack.append([minimum, num])\n \n return False": 0.0, "class Solution:\n def find132pattern(self, nums):\n if len(nums) < 3:\n return False\n \n stack = [[nums[0], nums[0]]]\n minimum = nums[0]\n for num in nums[1:]:\n if num <= minimum:\n minimum = num\n else:\n while stack and num > stack[-1][0]:\n if num < stack[-1][1]:\n return True\n else:\n stack.append()\n stack.append([minimum, num])\n \n return False": 0.0, "class Solution:\n def find132pattern(self, nums):\n if len(nums) < 3:\n return False\n \n stack = [[nums[0], nums[0]]]\n minimum = nums[0]\n for num in nums[1:]:\n if num <= minimum:\n minimum = num\n else:\n while stack and num > stack[-1][0]:\n if num < stack[-1][1]:\n stack.pop()\n stack.append([minimum, num])\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a sequence of n integers a1, a2, ..., an, a 132 pattern is a subsequence ai, aj, ak such\n\nthat i < j < k and ai < ak < aj. Design an algorithm that takes a list of n numbers as input and checks whether there is a 132 pattern in the list.\n\n\n\nNote: n will be less than 15,000.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "On vacations n pupils decided to go on excursion and gather all together. They need to overcome the path with the length l meters. Each of the pupils will go with the speed equal to v_1. To get to the excursion quickly, it was decided to rent a bus, which has seats for k people (it means that it can't fit more than k people at the same time) and the speed equal to v_2. In order to avoid seasick, each of the pupils want to get into the bus no more than once.\n\n\n\nDetermine the minimum time required for all n pupils to reach the place of excursion. Consider that the embarkation and disembarkation of passengers, as well as the reversal of the bus, take place immediately and this time can be neglected. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains five positive integers n, l, v_1, v_2 and k (1 \u2264 n \u2264 10 000, 1 \u2264 l \u2264 10^9, 1 \u2264 v_1 < v_2 \u2264 10^9, 1 \u2264 k \u2264 n)\u00a0\u2014 the number of pupils, the distance from meeting to the place of excursion, the speed of each pupil, the speed of bus and the number of seats in the bus. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the real number\u00a0\u2014 the minimum time in which all pupils can reach the place of excursion. Your answer will be considered correct if its absolute or relative error won't exceed 10^{ - 6}.", "responses": { "import sys\nn, l, v1, v2, k = list(map(int, input().split()))\nn = (n + k - 1) // k\nif n == 1:\n\tprint(l / v2)\n\treturn\nL, R = 0, l\nfor i in range(100):\n\tM = (L + R) / 2\n\tS = l - M\n\tT = M * (n * 2 - 1)- l\n\tif T * v1 > S * v2:\n\t\tR = M\n\telse:\n\t\tL = M\nprint(M / v2 + S / v1)": 1.0, "import sys\nn, l, v1, v2, k = list(map(int, input().split()))\nn = (n + k - 1) // k\nif n == 1:\n print(l / v2)\n break\nL, R = 0, l\nfor i in range(100):\n M = (L + R) / 2\n S = l - M\n T = M * (n * 2 - 1)- l\n if T * v1 > S * v2:\n R = M\n else:\n L = M\nprint(M / v2 + S / v1)": 0.0, "n = int(input())\nl = int(input())\nv1 = int(input())\nv2 = int(input())\nk = int(input())\nn = (n + k - 1) // k\nif n == 1:\n print(l / v2)\n sys.exit()\nL, R = 0, l\nfor i in range(100):\n M = (L + R) / 2\n S = l - M\n T = M * (n * 2 - 1)- l\n if T * v1 > S * v2:\n R = M\n else:\n L = M\nprint(M / v2 + S / v1)": 0.0, "import sys\nn, l, v1, v2, k = list(map(int, input().split()))\nn = (n + k - 1) // k\nif n == 1:\n print(l / v2)\n sys.exit()\nL, R = 0, l\nfor i in range(100):\n M = (L + R) / 2\n S = l - M\n T = M * (n * 2 - 1)- l\n if T * v1 < S * v2:\n R = M\n else:\n L = M\nprint(M / v2 + S / v1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOn vacations n pupils decided to go on excursion and gather all together. They need to overcome the path with the length l meters. Each of the pupils will go with the speed equal to v_1. To get to the excursion quickly, it was decided to rent a bus, which has seats for k people (it means that it can't fit more than k people at the same time) and the speed equal to v_2. In order to avoid seasick, each of the pupils want to get into the bus no more than once.\n\n\n\nDetermine the minimum time required for all n pupils to reach the place of excursion. Consider that the embarkation and disembarkation of passengers, as well as the reversal of the bus, take place immediately and this time can be neglected. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains five positive integers n, l, v_1, v_2 and k (1 \u2264 n \u2264 10 000, 1 \u2264 l \u2264 10^9, 1 \u2264 v_1 < v_2 \u2264 10^9, 1 \u2264 k \u2264 n)\u00a0\u2014 the number of pupils, the distance from meeting to the place of excursion, the speed of each pupil, the speed of bus and the number of seats in the bus. \n\n\n\n\n\n-----Output-----\n\n\n\nPrint the real number\u00a0\u2014 the minimum time in which all pupils can reach the place of excursion. Your answer will be considered correct if its absolute or relative error won't exceed 10^{ - 6}.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In a warehouse, there is a row of barcodes, where the i-th barcode is\u00a0barcodes[i].\n\nRearrange the barcodes so that no two adjacent barcodes are equal.\u00a0 You may return any answer, and it is guaranteed an answer exists.", "responses": { "class Solution:\n def rearrangeBarcodes(self, barcodes: List[int]) -> List[int]:\n if len(barcodes) < 2:\n return barcodes\n \n sorted_codes = sorted(barcodes)\n halfway = len(barcodes)//2\n ans = [0] * (halfway * 2)\n ans[::2], ans[1::2] = sorted_codes[-halfway:], sorted_codes[:halfway]\n \n if len(barcodes) % 2 == 1:\n prev = None\n mid = sorted_codes[halfway]\n for i in range(len(ans) - 1):\n if ans[i] == mid:\n i += 1\n elif ans[i] != prev:\n ans.insert(i, mid)\n break\n prev = ans[i]\n return ans": 1.0, "class Solution:\n def rearrangeBarcodes(self, barcodes: List[int]) -> List[int]:\n if len(barcodes) < 2:\n return barcodes\n \n sorted_codes = sorted(barcodes)\n halfway = len(barcodes)//2\n ans = [0] * (halfway * 2)\n ans[::2], ans[1::2] = sorted_codes[-halfway:], sorted_codes[:halfway]\n \n if len(barcodes) % 2 == 1:\n prev = None\n mid = sorted_codes[halfway]\n for i in range(len(ans) - 1):\n if ans[i] == mid:\n i += 1\n elif ans[i] != prev:\n ans.insert(i, mid) += 1\n break\n prev = ans[i]\n return ans": 0.0, "class Solution:\n def rearrangeBarcodes(self, barcodes: List[int]) -> List[int]:\n if len(barcodes) < 2:\n return barcodes\n \n sorted_codes = sorted(barcodes)\n halfway = len(barcodes)//2\n ans = [0] * (halfway * 2)\n ans[::2], ans[1::2] = sorted_codes[-halfway:], sorted_codes[:halfway]\n \n if len(barcodes) % 2 == 1:\n prev = None\n mid = sorted_codes[halfway]\n for i in range(len(ans) - 1):\n if ans[i] == mid:\n i += 1\n elif ans[i] != prev:\n ans.append(mid) += 1\n break\n prev = ans[i]\n return ans": 0.0, "class Solution:\n def rearrangeBarcodes(self, barcodes: List[int]) -> List[int]:\n if len(barcodes) < 2:\n return barcodes\n \n sorted_codes = sorted(barcodes)\n halfway = len(barcodes)//2\n ans = [0] * (halfway * 2)\n ans[::2], ans[1::2] = sorted_codes[-halfway:], sorted_codes[:halfway]\n \n if len(barcodes) % 2 == 1:\n prev = None\n mid = sorted_codes[halfway]\n for i in range(len(ans) - 1):\n if ans[i] == mid:\n i += 1\n elif ans[i] != prev:\n i.insert(ans, mid) += 1\n break\n prev = ans[i]\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn a warehouse, there is a row of barcodes, where the i-th barcode is\u00a0barcodes[i].\n\nRearrange the barcodes so that no two adjacent barcodes are equal.\u00a0 You may return any answer, and it is guaranteed an answer exists.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:\n\n\n\n\n\n Integers in each row are sorted in ascending from left to right.\n\n Integers in each column are sorted in ascending from top to bottom.\n\n\n\n\n\nExample:\n\n\n\nConsider the following matrix:\n\n\n\n\n\n[\n\n [1, 4, 7, 11, 15],\n\n [2, 5, 8, 12, 19],\n\n [3, 6, 9, 16, 22],\n\n [10, 13, 14, 17, 24],\n\n [18, 21, 23, 26, 30]\n\n]\n\n\n\n\n\nGiven\u00a0target\u00a0=\u00a05, return\u00a0true.\n\n\n\nGiven\u00a0target\u00a0=\u00a020, return\u00a0false.", "responses": { "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n m = len(matrix)\n if m == 0:\n return False\n n = len(matrix[0])\n if n == 0:\n return False\n row, col = 0, n-1\n while row < m and col >= 0:\n if matrix[row][col] == target:\n return True\n elif matrix[row][col] > target:\n col -= 1\n else:\n row += 1\n return False": 1.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n m = len(matrix)\n if m == 0:\n return False\n n = len(matrix[0])\n if n == 0:\n return False\n row, col = 0, n-1\n while row < m and col >= 0:\n if matrix[row][col] == target:\n return True\n elif matrix[row][col] > target:\n col -= 1\n else\n row += 1\n return False": 0.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n m = len(matrix)\n if m == 0:\n return False\n n = len(matrix[0])\n if n == 0\n return False\n row, col = 0, n-1\n while row < m and col >= 0:\n if matrix[row][col] == target:\n return True\n elif matrix[row][col] > target:\n col -= 1\n else:\n row += 1\n return False": 0.0, "class Solution:\n def searchMatrix(self, matrix, target):\n \"\"\"\n :type matrix: List[List[int]]\n :type target: int\n :rtype: bool\n \"\"\"\n m = len(matrix)\n if m == 0:\n return False\n n = len(matrix[0])\n if n == 0:\n return False\n row, col = 0, n-1\n while row < m and col >= 0\n if matrix[row][col] == target:\n return True\n elif matrix[row][col] > target:\n col -= 1\n else:\n row += 1\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWrite an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:\n\n\n\n\n\n Integers in each row are sorted in ascending from left to right.\n\n Integers in each column are sorted in ascending from top to bottom.\n\n\n\n\n\nExample:\n\n\n\nConsider the following matrix:\n\n\n\n\n\n[\n\n [1, 4, 7, 11, 15],\n\n [2, 5, 8, 12, 19],\n\n [3, 6, 9, 16, 22],\n\n [10, 13, 14, 17, 24],\n\n [18, 21, 23, 26, 30]\n\n]\n\n\n\n\n\nGiven\u00a0target\u00a0=\u00a05, return\u00a0true.\n\n\n\nGiven\u00a0target\u00a0=\u00a020, return\u00a0false.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer n, your task is to count how many strings of length n can be formed under the following rules:\n\n\n\nEach character is a lower case vowel\u00a0('a', 'e', 'i', 'o', 'u')\n\nEach vowel\u00a0'a' may only be followed by an 'e'.\n\nEach vowel\u00a0'e' may only be followed by an 'a'\u00a0or an 'i'.\n\nEach vowel\u00a0'i' may not be followed by another 'i'.\n\nEach vowel\u00a0'o' may only be followed by an 'i' or a\u00a0'u'.\n\nEach vowel\u00a0'u' may only be followed by an 'a'.\n\n\n\nSince the answer\u00a0may be too large,\u00a0return it modulo 10^9 + 7.", "responses": { "class Solution:\n def countVowelPermutation(self, n: int) -> int:\n a = 1\n e = 1\n i = 1\n o = 1\n u = 1\n res = 0\n M = 1e9+7\n for x in range(n-1):\n a1 = e\n e1 = (a + i) % M\n i1 = (a + e + u + o) % M\n o1 = (i + u) % M\n u1 = a\n a = a1\n e = e1\n i = i1\n o = o1\n u = u1\n \n res = int((a+e+i+o+u) % M)\n return res": 1.0, "class Solution:\n def countVowelPermutation(self, n: int) -> int:\n a = 1\n e = 1\n i = 1\n o = 1\n u = 1\n res = 0\n M = 1e9+7\n for x in range(n-1):\n a1 = e\n e1 = a + i % M # Bug: Missing parentheses for (a + i) % M\n i1 = (a + e + u + o) % M\n o1 = (i + u) % M\n u1 = a\n a = a1\n e = e1\n i = i1\n o = o1\n u = u1\n \n res = int((a+e+i+o+u) % M)\n return res": 0.0, "class Solution:\n def countVowelPermutation(self, n: int) -> int:\n a = 1\n e = 1\n i = 1\n o = 1\n u = 1\n res = 0\n M = 1e9+7\n for x in range(n-1):\n a1 = e\n e1 = (a + i) % M\n i1 = (a + e - u + o) % M # Bug: Incorrect operator '-' instead of '+'\n o1 = (i + u) % M\n u1 = a\n a = a1\n e = e1\n i = i1\n o = o1\n u = u1\n \n res = int((a+e+i+o+u) % M)\n return res": 0.0, "class Solution:\n def countVowelPermutation(self, n: int) -> int:\n a = 1\n e = 1\n i = 1\n o = 1\n u = 1\n res = 0\n M = 1e9+7\n for x in range(n-1):\n a1 = e\n e1 = (a + i) % M\n i1 = (a + e + u + o) % M\n o = (i + u) % M # Bug: Overwriting variable 'o1' with 'o'\n u1 = a\n a = a1\n e = e1\n i = i1\n u = u1\n \n res = int((a+e+i+o+u) % M)\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer n, your task is to count how many strings of length n can be formed under the following rules:\n\n\n\nEach character is a lower case vowel\u00a0('a', 'e', 'i', 'o', 'u')\n\nEach vowel\u00a0'a' may only be followed by an 'e'.\n\nEach vowel\u00a0'e' may only be followed by an 'a'\u00a0or an 'i'.\n\nEach vowel\u00a0'i' may not be followed by another 'i'.\n\nEach vowel\u00a0'o' may only be followed by an 'i' or a\u00a0'u'.\n\nEach vowel\u00a0'u' may only be followed by an 'a'.\n\n\n\nSince the answer\u00a0may be too large,\u00a0return it modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Once Max found an electronic calculator from his grandfather Dovlet's chest. He noticed that the numbers were written with seven-segment indicators (https://en.wikipedia.org/wiki/Seven-segment_display). [Image] \n\n\n\nMax starts to type all the values from a to b. After typing each number Max resets the calculator. Find the total number of segments printed on the calculator.\n\n\n\nFor example if a = 1 and b = 3 then at first the calculator will print 2 segments, then \u2014 5 segments and at last it will print 5 segments. So the total number of printed segments is 12.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers a, b (1 \u2264 a \u2264 b \u2264 10^6) \u2014 the first and the last number typed by Max.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer a \u2014 the total number of printed segments.", "responses": { "def main():\n v = {\n \"1\" : 2,\n \"2\" : 5,\n \"3\" : 5,\n \"4\" : 4,\n \"5\" : 5,\n \"6\" : 6,\n \"7\" : 3,\n \"8\" : 7,\n \"9\" : 6,\n \"0\" : 6\n }\n a, b = map(int, input().split())\n answer = 0\n for i in range(a, b + 1):\n s = str(i)\n for e in s:\n answer += v[e]\n print(answer)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "```python\ndef main()\n v = {\n \"1\" : 2,\n \"2\" : 5,\n \"3\" : 5,\n \"4\" : 4,\n \"5\" : 5,\n \"6\" : 6,\n \"7\" : 3,\n \"8\" : 7,\n \"9\" : 6,\n \"0\" : 6\n }\n a, b = map(int, input().split())\n answer = 0\n for i in range(a, b + 1):\n s = str(i)\n for e in s:\n answer += v[e]\n print(answer)\ndef __starting_point():\n main()\n__starting_point()\n```": 0.0, "```python\ndef main():\n v = {\n \"1\" : 2,\n \"2\" : 5,\n \"3\" : 5,\n \"4\" : 4,\n \"5\" : 5,\n \"6\" : 6,\n \"7\" : 3,\n \"8\" : 7,\n \"9\" : 6,\n \"0\" : 6\n }\n a, b map(int, input().split())\n answer = 0\n for i in range(a, b + 1):\n s = str(i)\n for e in s:\n answer += v[e]\n print(answer)\ndef __starting_point():\n main()\n__starting_point()\n```": 0.0, "```python\ndef main():\n v = {\n \"1\" : 2,\n \"2\" : 5,\n \"3\" : 5,\n \"4\" : 4,\n \"5\" : 5,\n \"6\" : 6,\n \"7\" : 3,\n \"8\" : 7,\n \"9\" : 6,\n \"0\" : 6\n }\n a, b = map(int, input().split())\n answer = 0\n for i in range(a, b + 1)\n s = str(i)\n for e in s:\n answer += v[e]\n print(answer)\ndef __starting_point():\n main()\n__starting_point()\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOnce Max found an electronic calculator from his grandfather Dovlet's chest. He noticed that the numbers were written with seven-segment indicators (https://en.wikipedia.org/wiki/Seven-segment_display). [Image] \n\n\n\nMax starts to type all the values from a to b. After typing each number Max resets the calculator. Find the total number of segments printed on the calculator.\n\n\n\nFor example if a = 1 and b = 3 then at first the calculator will print 2 segments, then \u2014 5 segments and at last it will print 5 segments. So the total number of printed segments is 12.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers a, b (1 \u2264 a \u2264 b \u2264 10^6) \u2014 the first and the last number typed by Max.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the only integer a \u2014 the total number of printed segments.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a set of points $x_1$, $x_2$, ..., $x_n$ on the number line.\n\n\n\nTwo points $i$ and $j$ can be matched with each other if the following conditions hold: neither $i$ nor $j$ is matched with any other point; $|x_i - x_j| \\ge z$. \n\n\n\nWhat is the maximum number of pairs of points you can match with each other?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $z$ ($2 \\le n \\le 2 \\cdot 10^5$, $1 \\le z \\le 10^9$) \u2014 the number of points and the constraint on the distance between matched points, respectively.\n\n\n\nThe second line contains $n$ integers $x_1$, $x_2$, ..., $x_n$ ($1 \\le x_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum number of pairs of points you can match with each other.", "responses": { "import sys\nn, z = list(map(int, sys.stdin.readline().strip().split()))\nx = list(map(int, sys.stdin.readline().strip().split()))\nx.sort()\ni = 0\nj = n // 2\nc = 0\nwhile j < n and i < n // 2:\n if x[j] - x[i] >= z:\n i = i + 1\n j = j + 1\n c = c + 1\n else:\n j = j + 1\nprint(c)": 1.0, "import sys\nn, z = list(map(int, sys.stdin.readline().strip().split()))\nx = list(map(int, sys.stdin.readline().strip().split()))\nx.sort()\ni = 0\nj = n // 2\nc = 0\nwhile j < n and i < n // 2:\n if x[j] - x[i] < z: # Changed from >= to <\n i = i + 1\n j = j + 1\n c = c + 1\n else:\n j = j + 1\nprint(c)": 0.0, "import sys\nn, z = list(map(int, sys.stdin.readline().strip().split()))\nx = list(map(int, sys.stdin.readline().strip().split()))\nx.sort(reverse=True) # Changed from x.sort() to x.sort(reverse=True)\ni = 0\nj = n // 2\nc = 0\nwhile j < n and i < n // 2:\n if x[j] - x[i] >= z:\n i = i + 1\n j = j + 1\n c = c + 1\n else:\n j = j + 1\nprint(c)": 0.0, "import sys\nn, z = list(map(int, sys.stdin.readline().strip().split()))\nx = list(map(int, sys.stdin.readline().strip().split()))\nx.sort()\ni = 0\nj = n // 2\nc = 0\nwhile j < n: # Removed the condition i < n // 2\n if x[j] - x[i] >= z:\n i = i + 1\n j = j + 1\n c = c + 1\n else:\n j = j + 1\nprint(c)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a set of points $x_1$, $x_2$, ..., $x_n$ on the number line.\n\n\n\nTwo points $i$ and $j$ can be matched with each other if the following conditions hold: neither $i$ nor $j$ is matched with any other point; $|x_i - x_j| \\ge z$. \n\n\n\nWhat is the maximum number of pairs of points you can match with each other?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $n$ and $z$ ($2 \\le n \\le 2 \\cdot 10^5$, $1 \\le z \\le 10^9$) \u2014 the number of points and the constraint on the distance between matched points, respectively.\n\n\n\nThe second line contains $n$ integers $x_1$, $x_2$, ..., $x_n$ ($1 \\le x_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the maximum number of pairs of points you can match with each other.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an n\u00a0x n\u00a0binary grid, in one step you can choose two adjacent rows of the grid and swap them.\n\nA grid is said to be valid if all the cells above the main diagonal are zeros.\n\nReturn the minimum number of steps needed to make the grid valid, or -1 if the grid cannot be valid.\n\nThe main diagonal of a grid is the diagonal that starts at cell (1, 1) and ends at cell (n, n).", "responses": { "class Solution:\n def minSwaps(self, grid: List[List[int]]) -> int:\n start=1\n swap=0\n n=len(grid)\n zeros_ingrid=n-1\n while zeros_ingrid>0:\n swapped_grid=False\n for i in range(len(grid)):\n if sum(grid[i][start:])==0:\n swap+=i\n grid.remove(grid[i])\n swapped_grid=True\n zeros_ingrid-=1\n start+=1\n break\n if not swapped_grid:\n return -1\n return swap\n \n \n \n ": 1.0, "class Solution:\n def minSwaps(self, grid: List[List[int]]) -> int:\n start=1\n swap=0\n n=len(grid)\n zeros_ingrid=n-1\n while zeros_ingrid>0:\n swapped_grid=False\n for i in range(len(grid)):\n if sum(grid[i][start:])==0:\n swap+=i\n grid.remove(grid[i])\n swapped_grid=True\n zeros_ingrid-=1\n start+=1\n break\n if not swapped_grid:\n return -1\n return swap + 1": 0.0, "class Solution:\n def minSwaps(self, grid: List[List[int]]) -> int:\n start=1\n swap=0\n n=len(grid)\n zeros_ingrid=n-1\n while zeros_ingrid>0:\n swapped_grid=False\n for i in range(len(grid)):\n if sum(grid[i][start:])==0:\n swap+=i\n grid.remove(grid[i])\n swapped_grid=True\n zeros_ingrid-=1\n start+=1\n break\n if not swapped_grid:\n return 1\n return swap": 0.0, "class Solution:\n def minSwaps(self, grid: List[List[int]]) -> int:\n start=1\n swap=0\n n=len(grid)\n zeros_ingrid=n-1\n while zeros_ingrid>0:\n swapped_grid=False\n for i in range(len(grid)):\n if sum(grid[i][start:])==0:\n swap+=i\n grid.remove(grid[i])\n swapped_grid=True\n zeros_ingrid-=1\n break\n if not swapped_grid:\n return -1\n return swap": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an n\u00a0x n\u00a0binary grid, in one step you can choose two adjacent rows of the grid and swap them.\n\nA grid is said to be valid if all the cells above the main diagonal are zeros.\n\nReturn the minimum number of steps needed to make the grid valid, or -1 if the grid cannot be valid.\n\nThe main diagonal of a grid is the diagonal that starts at cell (1, 1) and ends at cell (n, n).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an\u00a0array of integers nums and an\u00a0integer limit, return the size of the longest non-empty subarray such that the absolute difference between any two elements of this subarray is less than or equal to\u00a0limit.", "responses": { "from collections import deque\nclass Solution:\n def longestSubarray(self, nums, limit):\n maxQ, minQ = deque(), deque()\n i = 0\n res = 0\n for j, val in enumerate(nums):\n while maxQ and val > maxQ[-1]: maxQ.pop()\n while minQ and val < minQ[-1]: minQ.pop()\n maxQ.append(val)\n minQ.append(val)\n if maxQ[0] - minQ[0] > limit:\n if maxQ[0] == nums[i]: maxQ.popleft()\n if minQ[0] == nums[i]: minQ.popleft()\n i += 1\n res = max(res, j-i+1)\n return res\n \nfrom collections import deque\nclass Solution:\n def longestSubarray(self, nums, limit):\n maxQ, minQ = deque(), deque()\n i = 0\n for val in nums:\n while maxQ and val > maxQ[-1]: maxQ.pop()\n while minQ and val < minQ[-1]: minQ.pop()\n maxQ.append(val)\n minQ.append(val)\n if maxQ[0] - minQ[0] > limit:\n if maxQ[0] == nums[i]: maxQ.popleft()\n if minQ[0] == nums[i]: minQ.popleft()\n i += 1\n return len(nums) - i": 1.0, "from collections import deque\nclass Solution:\n def longestSubarray(self, nums, limit):\n maxQ, minQ = deque(), deque()\n i = 0\n res = 0\n for j, val in enumerate(nums):\n while maxQ and val > maxQ[-1]: maxQ.pop()\n while minQ and val < minQ[-1]: minQ.pop()\n maxQ.append(val)\n minQ.append(val)\n if maxQ[0] - minQ[0] > limit:\n if maxQ[0] == i: maxQ.popleft()\n if minQ[0] == i: minQ.popleft()\n i += 1\n res = max(res, j-i+1)\n return res": 0.0, "from collections import deque\nclass Solution:\n def longestSubarray(self, nums, limit):\n maxQ, minQ = deque(), deque()\n i = 0\n res = 0\n for j, val in enumerate(nums):\n while maxQ and val > maxQ[-1]: maxQ.pop()\n while minQ and val < minQ[-1]: minQ.pop()\n minQ.append(val)\n maxQ.append(val)\n if maxQ[0] - minQ[0] <= limit:\n if maxQ[0] == nums[i]: maxQ.popleft()\n if minQ[0] == nums[i]: minQ.popleft()\n i += 1\n res = max(res, j-i+1)\n return res": 0.0, "from collections import deque\nclass Solution:\n def longestSubarray(self, nums, limit):\n maxQ, minQ = deque(), deque()\n i = 0\n res = 0\n for j, val in enumerate(nums):\n while maxQ and val < maxQ[-1]: maxQ.pop()\n while minQ and val > minQ[-1]: minQ.pop()\n maxQ.append(val)\n minQ.append(val)\n if maxQ[0] - minQ[0] > limit:\n if maxQ[0] == nums[i]: maxQ.popleft()\n if minQ[0] == nums[i]: minQ.popleft()\n i += 1\n res = max(res, j-i+1)\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an\u00a0array of integers nums and an\u00a0integer limit, return the size of the longest non-empty subarray such that the absolute difference between any two elements of this subarray is less than or equal to\u00a0limit.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We saw the little game Marmot made for Mole's lunch. Now it's Marmot's dinner time and, as we all know, Marmot eats flowers. At every dinner he eats some red and white flowers. Therefore a dinner can be represented as a sequence of several flowers, some of them white and some of them red.\n\n\n\nBut, for a dinner to be tasty, there is a rule: Marmot wants to eat white flowers only in groups of size k.\n\n\n\nNow Marmot wonders in how many ways he can eat between a and b flowers. As the number of ways could be very large, print it modulo 1000000007 (10^9 + 7).\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains several test cases.\n\n\n\nThe first line contains two integers t and k (1 \u2264 t, k \u2264 10^5), where t represents the number of test cases.\n\n\n\nThe next t lines contain two integers a_{i} and b_{i} (1 \u2264 a_{i} \u2264 b_{i} \u2264 10^5), describing the i-th test.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint t lines to the standard output. The i-th line should contain the number of ways in which Marmot can eat between a_{i} and b_{i} flowers at dinner modulo 1000000007 (10^9 + 7).", "responses": { "m = 1000000007\n(t, k) = [int(i) for i in input().split(' ')]\nn = 100000\ndp=[0]*(n+1)\ndp[0] = 1\nfor i in range(1, n+1):\n dp[i] = (dp[i-1] + (0 if i-k < 0 else dp[i-k])) % m\n \ns = [0]*(n+1)\ns[1] = dp[1]\ns[0] = 0\nfor i in range(2, n+1):\n s[i] = (s[i-1] + dp[i]) % m\n \nfor _ in range(t):\n (a, b) = [int(i) for i in input().split(' ')]\n print((s[b] - s[a-1] + m) % m)\n \n ": 1.0, "m = 1000000007\n(t, k) = [int(i) for i in input().split(' ')]\nn = 100000\ndp=[0]*(n+1)\ndp[0] = 1\nfor i in range(1, n+1):\n dp[i] = (dp[i-1] + (0 if i-k < 0 else dp[i-k])) % m\n \ns = [0]*(n+1)\ns[1] = dp[1]\ns[0] = 0\nfor i in range(2, n+1):\n s[i] = (s[i-1] + dp[i]) % m\n \nfor _ in range(t:\n (a, b) = [int(i) for i in input().split(' ')]\n print((s[b] - s[a-1] + m) % m)": 0.0, "m = 1000000007\n(t, k) = [int(i) for i in input().split(' ')]\nn = 100000\ndp=[0]*(n+1)\ndp[0] = 1\nfor i in range(1, n+1)\n dp[i] = (dp[i-1] + (0 if i-k < 0 else dp[i-k])) % m\n \ns = [0]*(n+1)\ns[1] = dp[1]\ns[0] = 0\nfor i in range(2, n+1):\n s[i] = (s[i-1] + dp[i]) % m\n \nfor _ in range(t):\n (a, b) = [int(i) for i in input().split(' ')]\n print((s[b] - s[a-1] + m) % m)": 0.0, "m = 1000000007\n(t, k) = [int(i) for i in input().split(' ')]\nn = 100000\ndp=[0]*(n+1)\ndp[0] = 1\nfor i in range(1, n+1):\n dp[i] = (dp[i-1] + (0 if i-k < 0 else dp[i-k])) % m\n \ns = [0]*(n+1)\ns[1] = dp[1]\ns[0] = 0\nfor i in range(2, n+1):\n s[i] = (s[i-1] + dp[i] % m\n \nfor _ in range(t):\n (a, b) = [int(i) for i in input().split(' ')]\n print((s[b] - s[a-1] + m) % m)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe saw the little game Marmot made for Mole's lunch. Now it's Marmot's dinner time and, as we all know, Marmot eats flowers. At every dinner he eats some red and white flowers. Therefore a dinner can be represented as a sequence of several flowers, some of them white and some of them red.\n\n\n\nBut, for a dinner to be tasty, there is a rule: Marmot wants to eat white flowers only in groups of size k.\n\n\n\nNow Marmot wonders in how many ways he can eat between a and b flowers. As the number of ways could be very large, print it modulo 1000000007 (10^9 + 7).\n\n\n\n\n\n-----Input-----\n\n\n\nInput contains several test cases.\n\n\n\nThe first line contains two integers t and k (1 \u2264 t, k \u2264 10^5), where t represents the number of test cases.\n\n\n\nThe next t lines contain two integers a_{i} and b_{i} (1 \u2264 a_{i} \u2264 b_{i} \u2264 10^5), describing the i-th test.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint t lines to the standard output. The i-th line should contain the number of ways in which Marmot can eat between a_{i} and b_{i} flowers at dinner modulo 1000000007 (10^9 + 7).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Takahashi, who is a novice in competitive programming, wants to learn M algorithms.\n\nInitially, his understanding level of each of the M algorithms is 0.\n\nTakahashi is visiting a bookstore, where he finds N books on algorithms.\n\nThe i-th book (1\\leq i\\leq N) is sold for C_i yen (the currency of Japan). If he buys and reads it, his understanding level of the j-th algorithm will increase by A_{i,j} for each j (1\\leq j\\leq M).\n\nThere is no other way to increase the understanding levels of the algorithms.\n\nTakahashi's objective is to make his understanding levels of all the M algorithms X or higher. Determine whether this objective is achievable. If it is achievable, find the minimum amount of money needed to achieve it.", "responses": { "N, M, X = list(map(int, input().split()))\nA = [0]*N\nfor i in range(N):\n A[i] = list(map(int, input().split()))\nmin_sump = -1\nfor i in range(2**(N+1)):\n sump = 0\n sume = [0]*M\n for j in range(N):\n ns = \"0\" + str(N) +\"b\"\n bi = format(i,ns)\n if bi[-1-j] == \"1\":\n sump += A[j][0]\n sume = list(map(sum, zip(sume, A[j][1:])))\n if all([i >= X for i in sume]):\n if min_sump == -1:\n min_sump = sump\n else:\n min_sump = min(min_sump,sump)\nprint(min_sump)": 1.0, "N, M, X = list(map(int, input().split()))\nA = [0]*N\nfor i in range(N):\n A[i] = list(map(int, input().split()))\nmin_sump = -1\nfor i in range(2**(N+1)):\n sump = 0\n sume = [0]*M\n for j in range(N):\n ns = \"0\" + str(N) +\"b\"\n bi = format(i,ns)\n if bi[-1-j] == \"1\":\n sump += A[j][0]\n sume = list(map(sum, zip(sume, A[j][1:])))\n if all([i <= X for i in sume]):\n if min_sump == -1:\n min_sump = sump\n else:\n min_sump = min(min_sump,sump)\nprint(min_sump)": 0.0, "N, M, X = list(map(int, input().split()))\nA = [0]*N\nfor i in range(N):\n A[i] = list(map(int, input().split()))\nmin_sump = -1\nfor i in range(2**(N+1)):\n sump = 0\n sume = [0]*M\n for j in range(N):\n ns = \"0\" + str(N) +\"b\"\n bi = format(i,ns)\n if bi[-1-j] == \"1\":\n sump += A[j][0]\n sume = list(map(sum, zip(sume, A[j])))\n if all([i >= X for i in sume]):\n if min_sump == -1:\n min_sump = sump\n else:\n min_sump = min(min_sump,sump)\nprint(min_sump)": 0.0, "N, M, X = list(map(int, input().split()))\nA = [0]*N\nfor i in range(N):\n A[i] = list(map(int, input().split()))\nmin_sump = -1\nfor i in range(2**(N+1)):\n sump = 0\n sume = [0]*M\n for j in range(N):\n ns = \"0\" + str(N) +\"b\"\n bi = format(i,ns)\n if bi[-1-j] == \"1\":\n sump += A[j][0]\n sume = list(map(sum, zip(sume, A[j][1:])))\n if all([i >= X for i in sum]):\n if min_sump == -1:\n min_sump = sump\n else:\n min_sump = min(min_sump,sump)\nprint(min_sump)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTakahashi, who is a novice in competitive programming, wants to learn M algorithms.\n\nInitially, his understanding level of each of the M algorithms is 0.\n\nTakahashi is visiting a bookstore, where he finds N books on algorithms.\n\nThe i-th book (1\\leq i\\leq N) is sold for C_i yen (the currency of Japan). If he buys and reads it, his understanding level of the j-th algorithm will increase by A_{i,j} for each j (1\\leq j\\leq M).\n\nThere is no other way to increase the understanding levels of the algorithms.\n\nTakahashi's objective is to make his understanding levels of all the M algorithms X or higher. Determine whether this objective is achievable. If it is achievable, find the minimum amount of money needed to achieve it.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers arr and two integers k and threshold.\n\nReturn the number of sub-arrays of size k and average greater than or equal to threshold.", "responses": { "class Solution:\n def numOfSubarrays(self, arr: List[int], k: int, threshold: int) -> int:\n if len(arr) < k:\n return 0\n bar = k * threshold\n total = 0\n window = sum(arr[:k])\n if window >= bar:\n total += 1\n for i in range(k, len(arr)):\n window -= arr[i - k]\n window += arr[i]\n if window >= bar:\n total += 1\n return total": 1.0, "class Solution:\n def numOfSubarrays(self, arr: List[int], k: int, threshold: int) -> int:\n if len(arr) < k:\n return 0\n bar = k * threshold\n total = 0\n window = sum(arr[:k])\n if window >= bar:\n total -= 1 # Intentionally subtracting instead of adding\n for i in range(k, len(arr)):\n window -= arr[i - k]\n window += arr[i]\n if window >= bar:\n total += 1\n return total": 0.0, "class Solution:\n def numOfSubarrays(self, arr: List[int], k: int, threshold: int) -> int:\n if len(arr) < k:\n return 0\n bar = k * threshold\n total = 0\n window = sum(arr[:k])\n if window < bar: # Comparing with less than instead of greater than or equal to\n total += 1\n for i in range(k, len(arr)):\n window -= arr[i - k]\n window += arr[i]\n if window < bar: # Comparing with less than instead of greater than or equal to\n total += 1\n return total": 0.0, "class Solution:\n def numOfSubarrays(self, arr: List[int], k: int, threshold: int) -> int:\n if len(arr) < k:\n return 0\n bar = k * threshold\n total = 0\n window = sum(arr[:k])\n if window >= bar:\n total += 1\n for i in range(k, len(arr)):\n window -= arr[i - k]\n window += arr[i]\n if window > bar: # Comparing with greater than instead of greater than or equal to\n total += 1\n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers arr and two integers k and threshold.\n\nReturn the number of sub-arrays of size k and average greater than or equal to threshold.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Permutation p is an ordered set of integers p_1, p_2, ..., p_{n}, consisting of n distinct positive integers not larger than n. We'll denote as n the length of permutation p_1, p_2, ..., p_{n}.\n\n\n\nYour task is to find such permutation p of length n, that the group of numbers |p_1 - p_2|, |p_2 - p_3|, ..., |p_{n} - 1 - p_{n}| has exactly k distinct elements.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line of the input contains two space-separated positive integers n, k (1 \u2264 k < n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n integers forming the permutation. If there are multiple answers, print any of them.", "responses": { "3\nimport sys\ndef __starting_point():\n \n n, k = list(map(int, sys.stdin.readline().split()))\n l = []\n i = 1\n j = k + 1\n while i <= j:\n l.append(str(i))\n i += 1\n if j > i:\n l.append(str(j))\n j -= 1\n for i in range(k+2, n+1):\n l.append(str(i))\n \n print(' '.join(l))\n__starting_point()": 1.0, "import sys\ndef __starting_point():\n \n n = int(sys.stdin.readline())\n l = []\n i = 1\n j = k + 1\n while i <= j:\n l.append(str(i))\n i += 1\n if j > i:\n l.append(str(j))\n j -= 1\n for i in range(k+2, n+1):\n l.append(str(i))\n \n print(' '.join(l))\n__starting_point()": 0.0, "import sys\ndef __starting_point():\n \n n, k = list(map(int, sys.stdin.readline().split()))\n l = []\n i = 1\n j = k + 1\n while i <= j:\n l.append(str(i))\n i += 2\n if j > i:\n l.append(str(j))\n j -= 1\n for i in range(k+2, n+1):\n l.append(str(i))\n \n print(' '.join(l))\n__starting_point()": 0.0, "import sys\ndef __starting_point():\n \n n, k = list(map(int, sys.stdin.readline().split()))\n l = []\n i = 1\n j = k + 1\n while i <= j:\n l.append(str(i))\n i += 1\n if j < i:\n l.append(str(j))\n j -= 1\n for i in range(k+2, n+1):\n l.append(str(i))\n \n print(' '.join(l))\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPermutation p is an ordered set of integers p_1, p_2, ..., p_{n}, consisting of n distinct positive integers not larger than n. We'll denote as n the length of permutation p_1, p_2, ..., p_{n}.\n\n\n\nYour task is to find such permutation p of length n, that the group of numbers |p_1 - p_2|, |p_2 - p_3|, ..., |p_{n} - 1 - p_{n}| has exactly k distinct elements.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line of the input contains two space-separated positive integers n, k (1 \u2264 k < n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint n integers forming the permutation. If there are multiple answers, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Array of integers is unimodal, if:\n\n\n\n it is strictly increasing in the beginning; after that it is constant; after that it is strictly decreasing. \n\n\n\nThe first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.\n\n\n\nFor example, the following three arrays are unimodal: [5, 7, 11, 11, 2, 1], [4, 4, 2], [7], but the following three are not unimodal: [5, 5, 6, 6, 1], [1, 2, 1, 2], [4, 5, 5, 6].\n\n\n\nWrite a program that checks if an array is unimodal.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 100) \u2014 the number of elements in the array.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 1 000) \u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" if the given array is unimodal. Otherwise, print \"NO\".\n\n\n\nYou can output each letter in any case (upper or lower).", "responses": { "n = int(input())\nL = list(map(int, input().split()))\ni = 0\na = 0\nwhile i < n and L[i] > a:\n a = L[i]\n i += 1\nwhile i < n and L[i] == a:\n i += 1\nwhile i < n and L[i] < a:\n a = L[i]\n i += 1\nif i == n:\n print(\"YES\")\nelse:\n print(\"NO\")": 1.0, "n = int(input())\nL = list(map(int, input().split()))\ni = 0\na = 0\nwhile i < n or L[i] > a:\n a = L[i]\n i += 1\nwhile i < n and L[i] == a:\n i += 1\nwhile i < n and L[i] < a:\n a = L[i]\n i += 1\nif i == n:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "n = int(input())\nL = list(map(int, input().split()))\ni = -1\na = 0\nwhile i < n and L[i] > a:\n a = L[i]\n i += 1\nwhile i < n and L[i] == a:\n i += 1\nwhile i < n and L[i] < a:\n a = L[i]\n i += 1\nif i == n:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "n = int(input())\nL = list(map(int, input().split()))\ni = 0\na = 0\nwhile i < n and L[i] > a:\n a = L[i]\n i += 1\nwhile i < n and L[i] != a:\n i += 1\nwhile i < n and L[i] < a:\n a = L[i]\n i += 1\nif i == n:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nArray of integers is unimodal, if:\n\n\n\n it is strictly increasing in the beginning; after that it is constant; after that it is strictly decreasing. \n\n\n\nThe first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.\n\n\n\nFor example, the following three arrays are unimodal: [5, 7, 11, 11, 2, 1], [4, 4, 2], [7], but the following three are not unimodal: [5, 5, 6, 6, 1], [1, 2, 1, 2], [4, 5, 5, 6].\n\n\n\nWrite a program that checks if an array is unimodal.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 100) \u2014 the number of elements in the array.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 1 000) \u2014 the elements of the array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" if the given array is unimodal. Otherwise, print \"NO\".\n\n\n\nYou can output each letter in any case (upper or lower).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K (odd) to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n3\n\n5\n\n7\n\n\n\n-----Sample Output:-----\n\n*\n\n*\n\n**\n\n*\n\n*\n\n**\n\n* *\n\n**\n\n*\n\n*\n\n**\n\n* *\n\n* *\n\n* *\n\n**\n\n*\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "t=int(input())\nfor _ in range(t):\n n=int(input())\n l1=[]\n if n==1:\n print('*')\n elif n==3:\n print('*')\n print('**')\n print('*')\n else:\n s1=\"\"\n n1=n//2\n n1+=1 \n for i in range(1,n1+1):\n s1=\"\"\n if i==1:\n s1+='*'\n elif i==2:\n s1+='**'\n else:\n s1+='*'\n for j in range(2,i):\n s1+=' '\n s1+='*'\n l1.append(s1)\n for i in l1:\n print(i)\n l1.reverse()\n for i in range(1,len(l1)):\n print(l1[i])\n \n ": 1.0, "t=int(input())\nfor _ in range(t): \n n=int(input())\n l1=[]\n if n==1: \n print('*')\n elif n==3:\n print('*')\n print('**\n print('*')\n else:\n s1=\"\"\n n1=n//2\n n1+=1 \n for i in range(1,n1+1):\n s1=\"\"\n if i==1:\n s1+='*'\n elif i==2:\n s1+='**'\n else:\n s1+='*'\n for j in range(2,i):\n s1+=' '\n s1+='*'\n l1.append(s1)\n for i in l1:\n print(i)\n l1.reverse()\n for i in range(1,len(l1)):\n print(l1[i])": 0.0, "t=int(input())\nfor _ in range(t):\n n=int(input())\n l1=[]\n if n==1:\n print('*')\n elif n==3:\n print('*')\n print('**')\n print('*')\n else:\n s1=\"\"\n n1=n//2\n n1+=1\n for i in range(1,n1+1):\n s1=\"\"\"\n if i==1:\n s1+='*'\n elif i==2:\n s1+='**'\n else:\n s1+='*'\n for j in range(2,i):\n s1+=' '\n s1+='*'\n l1.append(s1)\n for i in l1:\n print(i)\n l1.reverse()\n for i in range(1,len(l1)):\n print(l1[i])": 0.0, "t=int(input())\nfor _ in range(t):\n n=int(input())\n l1=[]\n if n==1:\n print('*')\n elif n==3:\n print('*')\n print('**')\n print('*')\n else:\n s1=\"\"\n n1=n//2\n n1+=1\n for i in range(1,n1+1): \n \"\"\"s1 = \"\" \n if i==1: \n s1+='*' \n elif i==2: \n s1+='**' \n else: \n s1+='*'\n for j in range(2,i): \n s1+=' '\n s1+='*'\n l1.append(s1) \n for i in l1:\n print(i)\n l1.reverse()\n for i in range(1,len(l1)): \n print(l1[i])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K (odd) to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n3\n\n5\n\n7\n\n\n\n-----Sample Output:-----\n\n*\n\n*\n\n**\n\n*\n\n*\n\n**\n\n* *\n\n**\n\n*\n\n*\n\n**\n\n* *\n\n* *\n\n* *\n\n**\n\n*\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef belongs to a very rich family which owns many gold mines. Today, he brought N gold coins and decided to form a triangle using these coins. Isn't it strange?\n\nChef has a unusual way of forming a triangle using gold coins, which is described as follows:\n\n- He puts 1 coin in the 1st row.\n\n- then puts 2 coins in the 2nd row.\n\n- then puts 3 coins in the 3rd row.\n\n- and so on as shown in the given figure.\n\nChef is interested in forming a triangle with maximum possible height using at most N coins. Can you tell him the maximum possible height of the triangle?\n\n\n\n-----Input-----\n\nThe first line of input contains a single integer T denoting the number of test cases. \n\nThe first and the only line of each test case contains an integer N denoting the number of gold coins Chef has.\n\n\n\n-----Output-----\n\nFor each test case, output a single line containing an integer corresponding to the maximum possible height of the triangle that Chef can get.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100\n\n- 1 \u2264 N \u2264 109\n\n\n\n-----Subtasks-----\n\n- Subtask 1 (48 points) : 1 \u2264 N \u2264 105\n\n- Subtask 2 (52 points) : 1 \u2264 N \u2264 109\n\n\n\n-----Example-----\n\nInput3\n\n3\n\n5\n\n7\n\n\n\nOutput2\n\n2\n\n3\n\n\n\n-----Explanation-----\n\n- Test 1: Chef can't form a triangle with height > 2 as it requires atleast 6 gold coins.\n\n- Test 2: Chef can't form a triangle with height > 2 as it requires atleast 6 gold coins.\n\n- Test 3: Chef can't form a triangle with height > 3 as it requires atleast 10 gold coins.", "responses": { "t = eval(input())\ndef moneda(m):\n h = 1\n triange = []\n while m >= h:\n triange.append(h)\n m -= h \n h += 1\n return len(triange)\ntriangulo = []\nfor i in range(t):\n n = eval(input())\n triangulo.append(n)\nfor i in triangulo:\n print(moneda(i))": 1.0, "t = eval(input())\ndef moneda(m):\n h = 1\n triange = []\n while m >= h:\n triange.append(h)\n m -= h \n h += 1\n return len(triange)\ntriangulo = []\nfor i in range(t):\n n = eval(input())\n triangulo.append(n)\nfor i in triangulo:\n print(moneda(i)))": 0.0, "t = eval(input())\ndef moneda(m):\n h = 1\n triange = []\n while m >= h:\n triange.append(h)\n m -= h \n h += 1\n return len(triangulo)\ntriangulo = []\nfor i in range(t):\n n = eval(input()))\n triangulo.append(n)\nfor i in triangulo:\n print(moneda(i))": 0.0, "t = eval(input()\ndef moneda(m):\n h = 1\n triange = []\n while m >= h:\n triange.append()\n m -= h \n h += 1\n return len(triange)\ntriangulo = []\nfor i in range(t:\n n = eval(input())\n triangulo.append(n)\nfor i in triangulo:\n print(moneda(i))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef belongs to a very rich family which owns many gold mines. Today, he brought N gold coins and decided to form a triangle using these coins. Isn't it strange?\n\nChef has a unusual way of forming a triangle using gold coins, which is described as follows:\n\n- He puts 1 coin in the 1st row.\n\n- then puts 2 coins in the 2nd row.\n\n- then puts 3 coins in the 3rd row.\n\n- and so on as shown in the given figure.\n\nChef is interested in forming a triangle with maximum possible height using at most N coins. Can you tell him the maximum possible height of the triangle?\n\n\n\n-----Input-----\n\nThe first line of input contains a single integer T denoting the number of test cases. \n\nThe first and the only line of each test case contains an integer N denoting the number of gold coins Chef has.\n\n\n\n-----Output-----\n\nFor each test case, output a single line containing an integer corresponding to the maximum possible height of the triangle that Chef can get.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100\n\n- 1 \u2264 N \u2264 109\n\n\n\n-----Subtasks-----\n\n- Subtask 1 (48 points) : 1 \u2264 N \u2264 105\n\n- Subtask 2 (52 points) : 1 \u2264 N \u2264 109\n\n\n\n-----Example-----\n\nInput3\n\n3\n\n5\n\n7\n\n\n\nOutput2\n\n2\n\n3\n\n\n\n-----Explanation-----\n\n- Test 1: Chef can't form a triangle with height > 2 as it requires atleast 6 gold coins.\n\n- Test 2: Chef can't form a triangle with height > 2 as it requires atleast 6 gold coins.\n\n- Test 3: Chef can't form a triangle with height > 3 as it requires atleast 10 gold coins.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In this kata, you'll be given an integer of range `0 <= x <= 99` and have to return that number spelt out in English. A few examples:\n\n\n\n```python\n\nname_that_number(4) # returns \"four\"\n\nname_that_number(19) # returns \"nineteen\"\n\nname_that_number(99) # returns \"ninety nine\"\n\n```\n\n\n\nWords should be separated by only spaces and not hyphens. No need to validate parameters, they will always be in the range [0, 99]. Make sure that the returned String has no leading of trailing spaces. Good luck!", "responses": { "WORDS = (\n (90, 'ninety'), (80, 'eighty'), (70, 'seventy'), (60, 'sixty'),\n (50, 'fifty'), (40, 'forty'), (30, 'thirty'), (20, 'twenty'),\n (19, 'nineteen'), (18, 'eighteen'), (17, 'seventeen'), (16, 'sixteen'),\n (15, 'fifteen'), (14, 'fourteen'), (13, 'thirteen'), (12, 'twelve'),\n (11, 'eleven'), (10, 'ten'), (9, 'nine'), (8, 'eight'), (7, 'seven'),\n (6, 'six'), (5, 'five'), (4, 'four'), (3, 'three'), (2, 'two'), (1, 'one')\n)\ndef name_that_number(num):\n result = []\n for word_value, word_name in WORDS:\n quo, num = divmod(num, word_value)\n if quo:\n result.append(word_name)\n return ' '.join(result) or 'zero'": 1.0, "WORDS = (\n (90, 'ninety'), (80, 'eighty'), (70, 'seventy'), (60, 'sixty'),\n (50, 'fifty'), (40, 'forty'), (30, 'thirty'), (20, 'twenty'),\n (19, 'nineteen'), (18, 'eighteen'), (17, 'seventeen'), (16, 'sixteen'),\n (15, 'fifteen'), (14, 'fourteen'), (13, 'thirteen'), (12, 'twelve'),\n (11, 'eleven'), (10, 'ten'), (9, 'nine'), (8, 'eight'), (7, 'seven'),\n (6, 'six'), (5, 'five'), (4, 'four'), (3, 'three'), (2, 'two'), (1, 'one')\n)\ndef name_that_number(num):\n result = []\n for word_value, word_name in WORDS:\n quo, num = divmod(num, word_value)\n if quo:\n result.append(word_name)\n result.append('and')\n return ' '.join(result) or 'zero'": 0.0, "WORDS = (\n (90, 'ninety'), (80, 'eighty'), (70, 'seventy'), (60, 'sixty'),\n (50, 'fifty'), (40, 'forty'), (30, 'thirty'), (20, 'twenty'),\n (19, 'nineteen'), (18, 'eighteen'), (17, 'seventeen'), (16, 'sixteen'),\n (15, 'fifteen'), (14, 'fourteen'), (13, 'thirteen'), (12, 'twelve'),\n (11, 'eleven'), (10, 'ten'), (9, 'nine'), (8, 'eight'), (7, 'seven'),\n (6, 'six'), (5, 'five'), (4, 'four'), (3, 'three'), (2, 'two'), (1, 'one')\n)\ndef name_that_number(num):\n result = []\n for word_value, word_name in WORDS:\n quo, num = divmod(num, word_value)\n if num:\n result.append(word_name)\n return ' '.join(result) or 'zero'": 0.0, "WORDS = (\n (90, 'ninety'), (80, 'eighty'), (70, 'seventy'), (60, 'sixty'),\n (50, 'fifty'), (40, 'forty'), (30, 'thirty'), (20, 'twenty'),\n (19, 'nineteen'), (18, 'eighteen'), (17, 'seventeen'), (16, 'sixteen'),\n (15, 'fifteen'), (14, 'fourteen'), (13, 'thirteen'), (12, 'twelve'),\n (11, 'eleven'), (10, 'ten'), (9, 'nine'), (8, 'eight'), (7, 'seven'),\n (6, 'six'), (5, 'five'), (4, 'four'), (3, 'three'), (2, 'two'), (1, 'one')\n)\ndef name_that_number(num):\n result = []\n for word_value, word_name in WORDS:\n quo, num = divmod(num, word_value)\n if quo:\n result.append(word_name+1)\n return ' '.join(result) or 'zero'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn this kata, you'll be given an integer of range `0 <= x <= 99` and have to return that number spelt out in English. A few examples:\n\n\n\n```python\n\nname_that_number(4) # returns \"four\"\n\nname_that_number(19) # returns \"nineteen\"\n\nname_that_number(99) # returns \"ninety nine\"\n\n```\n\n\n\nWords should be separated by only spaces and not hyphens. No need to validate parameters, they will always be in the range [0, 99]. Make sure that the returned String has no leading of trailing spaces. Good luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "n hobbits are planning to spend the night at Frodo's house. Frodo has n beds standing in a row and m pillows (n \u2264 m). Each hobbit needs a bed and at least one pillow to sleep, however, everyone wants as many pillows as possible. Of course, it's not always possible to share pillows equally, but any hobbit gets hurt if he has at least two pillows less than some of his neighbors have. \n\n\n\nFrodo will sleep on the k-th bed in the row. What is the maximum number of pillows he can have so that every hobbit has at least one pillow, every pillow is given to some hobbit and no one is hurt?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contain three integers n, m and k (1 \u2264 n \u2264 m \u2264 10^9, 1 \u2264 k \u2264 n)\u00a0\u2014 the number of hobbits, the number of pillows and the number of Frodo's bed.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint single integer\u00a0\u2014 the maximum number of pillows Frodo can have so that no one is hurt.", "responses": { "n, m, k = map(int, input().split())\nans = 1\nm -= n\nleft = k - 1\nright = n - k\nput = 1\nwhile (m >= put):\n m -= put\n ans += 1\n put += (left > 0) + (right > 0)\n if (left): left -= 1\n if (right): right -= 1\n if (left == right == 0):\n ans += (m // put)\n break\nprint(ans)": 1.0, "n, m, k = map(int, input().split())\nans = 1\nm -= n\nleft = k - 1\nright = n - k\nput = 0\nwhile (m >= put):\n m -= put\n ans += 1\n put += (left > 0) + (right > 0)\n if (left): left -= 1\n if (right): right -= 1\n if (left == right == 0):\n ans += (m // put)\n break\nprint(ans)": 0.0, "n, m, k = map(int, input().split())\nans = 1\nm -= n\nleft = k - 1\nright = n - k\nput = 1\nwhile (m >= put):\n m -= put\n ans -= 1\n put += (left > 0) + (right > 0)\n if (left): left -= 1\n if (right): right -= 1\n if (left == right == 0):\n ans += (m // put)\n break\nprint(ans)": 0.0, "n, m, k = map(int, input().split())\nans = 1\nm += n\nleft = k - 1\nright = n - k\nput = 1\nwhile (m >= put):\n m += put\n ans += 1\n put -= (left > 0) + (right > 0)\n if (left): left -= 1\n if (right): right -= 1\n if (left == right == 0):\n ans += (m // put)\n break\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nn hobbits are planning to spend the night at Frodo's house. Frodo has n beds standing in a row and m pillows (n \u2264 m). Each hobbit needs a bed and at least one pillow to sleep, however, everyone wants as many pillows as possible. Of course, it's not always possible to share pillows equally, but any hobbit gets hurt if he has at least two pillows less than some of his neighbors have. \n\n\n\nFrodo will sleep on the k-th bed in the row. What is the maximum number of pillows he can have so that every hobbit has at least one pillow, every pillow is given to some hobbit and no one is hurt?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contain three integers n, m and k (1 \u2264 n \u2264 m \u2264 10^9, 1 \u2264 k \u2264 n)\u00a0\u2014 the number of hobbits, the number of pillows and the number of Frodo's bed.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint single integer\u00a0\u2014 the maximum number of pillows Frodo can have so that no one is hurt.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two positive integers $A$ and $B$. Find the number of pairs of positive integers $(X, Y)$ such that $1 \\le X \\le A$, $1 \\le Y \\le B$ and $X + Y$ is even.\n\n\n\n-----Input-----\n\n- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.\n\n- The first and only line of each test case contains two space-separated integers $A$ and $B$.\n\n\n\n-----Output-----\n\nFor each test case, print a single line containing one integer \u2015 the number of valid pairs.\n\n\n\n-----Constraints-----\n\n- $1 \\le T \\le 1,000$\n\n- $1 \\le A, B \\le 10^9$\n\n\n\n-----Subtasks-----\n\nSubtask #1 (10 points): $A, B \\le 10$\n\nSubtask #2 (10 points): $A, B \\le 1,000$\n\nSubtask #3 (80 points): original constraints\n\n\n\n-----Example Input-----\n\n4\n\n1 1\n\n2 3\n\n4 6\n\n8 9\n\n\n\n-----Example Output-----\n\n1\n\n3\n\n12\n\n36", "responses": { "try:\n t=int(input())\n while t>0:\n [a,b]=[int(x) for x in input().split()]\n if a==1 and b==1:\n print(1)\n continue\n if a%2==0:\n o1=a//2\n e1=a//2\n else:\n o1=a//2+1\n e1=a//2\n \n if b%2==0:\n o2=b//2\n e2=b//2\n else:\n o2=b//2+1\n e2=b//2\n \n print(e1*e2+o1*o2)\n t-=1\nexcept:\n pass": 1.0, "try:\n t=int(input())\n while t>0:\n [a,b]=int(x) for x in input().split()]\n if a==1 and b==1:\n print(1)\n continue\n if a%2==0:\n o1=a//2\n e1=a//2\n else:\n o1=a//2+1\n e1=a//2\n \n if b%2==0:\n o2=b//2\n e2=b//2\n else:\n o2=b//2+1\n e2=b//2\n \n print(e1*e2+o1*o2)\n t-=1\nexcept:\n pass": 0.0, "try:\n t=int(input())\n while t>0:\n [a,b]=int(x) for x in input().split()]\n if a==1 and b==1:\n print(1)\n continue\n if a%2==0:\n o1=a//2\n e1=a//2\n else:\n o1=a/2+1\n e1=a//2\n \n if b%2==0:\n o2=b//2\n e2=b//2\n else:\n o2=b//2+1\n e2=b//2\n \n print(e1*e2+o1*o2)\n t-=1\nexcept:\n pass": 0.0, "try:\n t=int(input())\n while t>0:\n [a,b]=int(x) for x in input().split()]\n if a==1 and b==1:\n print(1)\n continue\n if a%2==0:\n o1=a//2\n e1=a//2\n else:\n o1=a//2+1\n e1=a//2\n \n if b%2==0:\n o2=b//2\n e2=b//2\n else:\n o2=b//2+1\n e2=b/2\n \n print(e1*e2+o1*o2)\n t-=1\nexcept:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two positive integers $A$ and $B$. Find the number of pairs of positive integers $(X, Y)$ such that $1 \\le X \\le A$, $1 \\le Y \\le B$ and $X + Y$ is even.\n\n\n\n-----Input-----\n\n- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.\n\n- The first and only line of each test case contains two space-separated integers $A$ and $B$.\n\n\n\n-----Output-----\n\nFor each test case, print a single line containing one integer \u2015 the number of valid pairs.\n\n\n\n-----Constraints-----\n\n- $1 \\le T \\le 1,000$\n\n- $1 \\le A, B \\le 10^9$\n\n\n\n-----Subtasks-----\n\nSubtask #1 (10 points): $A, B \\le 10$\n\nSubtask #2 (10 points): $A, B \\le 1,000$\n\nSubtask #3 (80 points): original constraints\n\n\n\n-----Example Input-----\n\n4\n\n1 1\n\n2 3\n\n4 6\n\n8 9\n\n\n\n-----Example Output-----\n\n1\n\n3\n\n12\n\n36\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given is a string S of length N consisting of lowercase English letters.\n\nSnuke can do this operation any number of times: remove fox occurring as a substring from s and concatenate the remaining parts of s.\n\nWhat is the minimum possible length of s after some number of operations by Snuke?\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 2 \\times 10^{5}\n\n - s is a string of length N consisting of lowercase English letters.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\ns\n\n\n\n-----Print-----\n\nPrint the minimum possible length of s after some number of operations by Snuke.\n\n\n\n-----Sample Input-----\n\n6\n\nicefox\n\n\n\n-----Sample Output-----\n\n3\n\n\n\n - By removing the fox at the end of icefox, we can turn s into ice.", "responses": { "import sys\nreadline = sys.stdin.readline\nN = int(readline())\nS = readline().rstrip()\nans = N\nstack = []\nfor s in S:\n if s == \"f\":\n stack.append(0)\n elif s == \"o\":\n if stack and stack[-1] == 0:\n stack[-1] = 1\n else:\n # \u6700\u5f8c\u304cf\u3067\u306a\u3044\u72b6\u614b\u3067o\u304c\u6765\u305f\u6642\u3001\u3053\u306eo\u304c\u6d88\u3048\u308b\u3053\u3068\u306f\u306a\u3044\u3002\n stack = []\n elif s == \"x\":\n if stack and stack[-1] == 1:\n stack.pop()\n ans -= 3\n else:\n stack = []\n else:\n stack = []\n \nprint(ans)": 1.0, "import sys\nreadline = sys.stdin.readline\nN = int(readline())\nS = readline().rstrip()\nans = N\nstack = []\nfor s in S:\n if s == \"f\":\n stack.append(0)\n elif s == \"o\":\n if stack and stack[-1] == 0:\n stack[-1] = 1\n else:\n stack = []\n elif s == \"x\":\n if stack and stack[-1] == 1:\n stack.pop()\n ans -= 3\n stack.append(0)\n else:\n stack = []\n else:\n stack = []\n \nprint(ans)": 0.0, "import sys\nreadline = sys.stdin.readline\nN = int(readline())\nS = readline().rstrip()\nans = N\nstack = []\nfor s in S:\n if s == \"f\":\n stack.append(0)\n elif s == \"o\":\n if stack and stack[-1] == 0:\n stack[-1] = 1\n ans -= 2\n else:\n stack = []\n elif s == \"x\":\n if stack and stack[-1] == 1:\n stack.pop()\n ans -= 3\n else:\n stack = []\n else:\n stack = []\n \nprint(ans)": 0.0, "import sys\nreadline = sys.stdin.readline\nN = int(readline())\nS = readline().rstrip()\nans = N\nstack = []\nfor s in S:\n if s == \"f\":\n stack.append(0)\n elif s == \"o\":\n if stack and stack[-1] == 0:\n stack.pop()\n ans -= 2\n else:\n stack = []\n elif s == \"x\":\n if stack and stack[-1] == 1:\n stack.pop()\n ans -= 3\n else:\n ans += 1\n else:\n stack = []\n \nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven is a string S of length N consisting of lowercase English letters.\n\nSnuke can do this operation any number of times: remove fox occurring as a substring from s and concatenate the remaining parts of s.\n\nWhat is the minimum possible length of s after some number of operations by Snuke?\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 2 \\times 10^{5}\n\n - s is a string of length N consisting of lowercase English letters.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\ns\n\n\n\n-----Print-----\n\nPrint the minimum possible length of s after some number of operations by Snuke.\n\n\n\n-----Sample Input-----\n\n6\n\nicefox\n\n\n\n-----Sample Output-----\n\n3\n\n\n\n - By removing the fox at the end of icefox, we can turn s into ice.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Kitahara Haruki has bought n apples for Touma Kazusa and Ogiso Setsuna. Now he wants to divide all the apples between the friends.\n\n\n\nEach apple weights 100 grams or 200 grams. Of course Kitahara Haruki doesn't want to offend any of his friend. Therefore the total weight of the apples given to Touma Kazusa must be equal to the total weight of the apples given to Ogiso Setsuna.\n\n\n\nBut unfortunately Kitahara Haruki doesn't have a knife right now, so he cannot split any apple into some parts. Please, tell him: is it possible to divide all the apples in a fair way between his friends?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 100) \u2014 the number of apples. The second line contains n integers w_1, w_2, ..., w_{n} (w_{i} = 100 or w_{i} = 200), where w_{i} is the weight of the i-th apple.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print \"YES\" (without the quotes) if it is possible to divide all the apples between his friends. Otherwise print \"NO\" (without the quotes).", "responses": { "\"\"\"\nCodeforces Round 248 Div 2 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\nclass InputHandlerObject(object):\n inputs = []\n def getInput(self, n = 0):\n res = \"\"\n inputs = self.inputs\n if not inputs: inputs.extend(input().split(\" \"))\n if n == 0:\n res = inputs[:]\n inputs[:] = []\n while n > len(inputs):\n inputs.extend(input().split(\" \"))\n if n > 0:\n res = inputs[:n]\n inputs[:n] = []\n return res\nInputHandler = InputHandlerObject()\ng = InputHandler.getInput\nn = int(input())\na = [int(x) for x in g()]\nc100 = a.count(100)\nif sum(a) % 200:\n print(\"NO\")\nelif n % 2 and not c100:\n print(\"NO\")\nelse:\n print(\"YES\")": 1.0, "\"\"\"\nCodeforces Round 248 Div 2 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\nclass InputHandlerObject(object):\n inputs = []\n def getInput(self, n = 0):\n res = \"\"\n inputs = \n if not inputs: inputs.extend(input().split(\" \"))\n if n == 0:\n res = inputs[:]\n inputs[:] = []\n while n > len(inputs):\n inputs.extend(input().split(\" \"))\n if n > 0:\n res = inputs[:n]\n inputs[:n] = []\n return res\nInputHandler = InputHandlerObject()\ng = InputHandler.getInput\nn = int(input())\na = [int(x) for x in g()]\nc100 = a.count(100)\nif sum(a) % 200:\n print(\"NO\")\nelif n % 2 and not c100:\n print(\"NO\")\nelse:\n print(\"YES\")": 0.0, "\"\"\"\nCodeforces Round 248 Div 2 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\nclass InputHandlerObject(object):\n inputs = []\n def getInput(self, n = 0):\n res = \"\"\n inputs = self.inputs\n if not inputs: inputs.extend(input(.split(\" \"))\n if n == 0:\n res = inputs[:]\n inputs[:] = []\n while n > len(inputs):\n inputs.extend(input().split(\" \"))\n if n > 0:\n res = inputs[:n]\n inputs[:n] = []\n return res\nInputHandler = InputHandlerObject()\ng = InputHandler.getInput\nn = int(input())\na = [int(x) for x in g()]\nc100 = a.count(100)\nif sum(a) % 200:\n print(\"NO\")\nelif n % 2 and not c100:\n print(\"NO\")\nelse:\n print(\"YES\")": 0.0, "\"\"\"\nCodeforces Round 248 Div 2 Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\nclass InputHandlerObject(object):\n inputs = []\n def getInput(self, n = 0):\n res = \"\"\n inputs = self.inputs\n if not inputs: inputs.extend(input().split\" \")\n if n == 0:\n res = inputs[:]\n inputs[:] = []\n while n > len(inputs):\n inputs.extend(input().split(\" \"))\n if n > 0:\n res = inputs[:n]\n inputs[:n] = []\n return res\nInputHandler = InputHandlerObject()\ng = InputHandler.getInput\nn = int(input())\na = [int(x) for x in g()]\nc100 = a.count(100)\nif sum(a) % 200:\n print(\"NO\")\nelif n % 2 and not c100:\n print(\"NO\")\nelse:\n print(\"YES\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nKitahara Haruki has bought n apples for Touma Kazusa and Ogiso Setsuna. Now he wants to divide all the apples between the friends.\n\n\n\nEach apple weights 100 grams or 200 grams. Of course Kitahara Haruki doesn't want to offend any of his friend. Therefore the total weight of the apples given to Touma Kazusa must be equal to the total weight of the apples given to Ogiso Setsuna.\n\n\n\nBut unfortunately Kitahara Haruki doesn't have a knife right now, so he cannot split any apple into some parts. Please, tell him: is it possible to divide all the apples in a fair way between his friends?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 100) \u2014 the number of apples. The second line contains n integers w_1, w_2, ..., w_{n} (w_{i} = 100 or w_{i} = 200), where w_{i} is the weight of the i-th apple.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print \"YES\" (without the quotes) if it is possible to divide all the apples between his friends. Otherwise print \"NO\" (without the quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Jeff's got n cards, each card contains either digit 0, or digit 5. Jeff can choose several cards and put them in a line so that he gets some number. What is the largest possible number divisible by 90 Jeff can make from the cards he's got?\n\n\n\nJeff must make the number without leading zero. At that, we assume that number 0 doesn't contain any leading zeroes. Jeff doesn't have to use all the cards.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^3). The next line contains n integers a_1, a_2, ..., a_{n} (a_{i} = 0 or a_{i} = 5). Number a_{i} represents the digit that is written on the i-th card.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem \u2014 the maximum number, divisible by 90. If you can't make any divisible by 90 number from the cards, print -1.", "responses": { "from math import*\nfrom random import*\nn = int(input())\nA = list(map(int, input().split()))\nz, f = 0, 0\nfor i in range(n):\n if A[i] == 0:\n z += 1\n else:\n f += 1\nif (z == 0):\n print(-1)\n return\nif (f // 9 == 0):\n print(0)\nelse:\n print (\"5\" * (f - f % 9) + \"0\" * z)": 1.0, "from math import*\nfrom random import*\nn = int(input())\nA = list(map(int, input().split()))\nz, f = 0, 0\nfor i in range(n):\n if A[i] == 0:\n z += 1\n else:\n f += 1\nif (z == 0):\n print(-1)\nelse:\n print (\"5\" * (f - f % 9) + \"0\" * z)": 0.0, "from math import*\nfrom random import*\nn = int(input())\nA = list(map(int, input().split()))\nz, f = 0, 0\nfor i in range(n):\n if A[i] == 0:\n z += 1\n\nif (z == 0):\n print(-1)\n return\nif (f // 9 == 0):\n print(0)\nelse:\n print (\"5\" * (f - f % 9) + \"0\" * z)": 0.0, "from math import*\nfrom random import*\nn = int(input())\nA = list(map(int, input().split()))\nz, f = 0, 0\nfor i in range(n):\n if A[i] == 5:\n z += 1\n else:\n f += 1\nif (z == 0):\n print(-1)\n return\nif (f // 9 == 0):\n print(0)\nelse:\n print (\"5\" * (f - f % 9) + \"0\" * z)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nJeff's got n cards, each card contains either digit 0, or digit 5. Jeff can choose several cards and put them in a line so that he gets some number. What is the largest possible number divisible by 90 Jeff can make from the cards he's got?\n\n\n\nJeff must make the number without leading zero. At that, we assume that number 0 doesn't contain any leading zeroes. Jeff doesn't have to use all the cards.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^3). The next line contains n integers a_1, a_2, ..., a_{n} (a_{i} = 0 or a_{i} = 5). Number a_{i} represents the digit that is written on the i-th card.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem \u2014 the maximum number, divisible by 90. If you can't make any divisible by 90 number from the cards, print -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef has an old machine if the chef enters any natural number, the machine will display 1, 2, \u2026n, n-1, n-2, n-3,\u20261 series and in next line prints sum of cubes of each number in the series. Chef wants to create a computer program which can replicate the functionality of the machine. Help the chef to code.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, $N$. \n\n\n\n-----Output:-----\n\nFor each test case, output in a single line answer.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 50$\n\n- $1 \\leq N \\leq 50$\n\n\n\n-----Sample Input:-----\n\n2\n\n1\n\n3\n\n\n\n-----Sample Output:-----\n\n1\n\n45\n\n\n\n-----EXPLANATION:-----\n\nFor 2) series will be 1, 2, 3, 2, 1 and the sum will be = 1 + 8 + 27 + 8+ 1", "responses": { "t=int(input())\r\nwhile(t!=0):\r\n t=t-1\r\n n=int(input())\r\n ans=0\r\n for i in range(1,n+1,1):\r\n sum=0;\r\n for j in range(1,i+1,1):\r\n sum=sum+j\r\n s=sum-i\r\n sum=sum+s\r\n if(i!=n):\r\n ans=ans+2*sum*i\r\n else:\r\n ans=ans+sum*i\r\n print(ans)": 1.0, "t=int(intput()) # intput() function doesn't exist\nwhile(t!=0):\n t=t-1\n n=int(input())\n ans=0\n for i in range(1,n+1,1):\n sum=0;\n for j in range(1,i+1,1):\n sum=sum+j\n s=sum-i\n sum=sum+s\n if(i!=n):\n ans=ans+2*sum*i\n else:\n ans=ans+sum*i\n print(ans)": 0.0, "t=int(input())\nwhile(t!=[0]): # Comparison between integer and list\n t=t-1\n n=int(input())\n ans=0\n for i in range(1,n+1,1):\n sum=0;\n for j in range(1,i+1,1):\n sum=sum+j\n s=sum-i\n sum=sum+s\n if(i!=n):\n ans=ans+2*sum*i\n else:\n ans=ans+sum*i\n print(ans)": 0.0, "t=int(input())\nwhile(t!=0):\n t=t-1\n n=int(input())\n ans=0\n for i in range(1,n+1,1):\n sum=0;\n for j in range(1,i+1,1):\n sum=sum-j # Subtracting instead of adding\n s=sum-i\n sum=sum+s\n if(i!=n):\n ans=ans+2*sum*i\n else:\n ans=ans+sum*i\n print(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef has an old machine if the chef enters any natural number, the machine will display 1, 2, \u2026n, n-1, n-2, n-3,\u20261 series and in next line prints sum of cubes of each number in the series. Chef wants to create a computer program which can replicate the functionality of the machine. Help the chef to code.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, $N$. \n\n\n\n-----Output:-----\n\nFor each test case, output in a single line answer.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 50$\n\n- $1 \\leq N \\leq 50$\n\n\n\n-----Sample Input:-----\n\n2\n\n1\n\n3\n\n\n\n-----Sample Output:-----\n\n1\n\n45\n\n\n\n-----EXPLANATION:-----\n\nFor 2) series will be 1, 2, 3, 2, 1 and the sum will be = 1 + 8 + 27 + 8+ 1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Let's call a string adorable if its letters can be realigned in such a way that they form two consequent groups of equal symbols (note that different groups must contain different symbols). For example, ababa is adorable (you can transform it to aaabb, where the first three letters form a group of a-s and others \u2014 a group of b-s), but cccc is not since in each possible consequent partition letters in these two groups coincide.\n\n\n\nYou're given a string s. Check whether it can be split into two non-empty subsequences such that the strings formed by these subsequences are adorable. Here a subsequence is an arbitrary set of indexes of the string.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains s (1 \u2264 |s| \u2264 10^5) consisting of lowercase latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \u00abYes\u00bb if the string can be split according to the criteria above or \u00abNo\u00bb otherwise.\n\n\n\nEach letter can be printed in arbitrary case.", "responses": { "s = input()\nss = set(s)\nif len(s) >= 4:\n if len(ss) in (3, 4):\n print('Yes')\n elif len(ss) == 2:\n for c in ss:\n if s.count(c) == 1:\n print('No')\n break\n else:\n print('Yes')\n else:\n print('No')\nelse:\n print('No')": 1.0, "s = input()\nss = set(s)\nif len(s) >= 4:\n if len(ss) in (3, 4):\n print('Yes')\n elif len(ss) < 2:\n for c in ss:\n if s.count(c) == 2:\n print('No')\n break\n else:\n print('Yes')\n else:\n print('No')\nelse:\n print('No')": 0.0, "s = input()\nss = set(s)\nif len(s) >= 4:\n if len(ss) == 2:\n print('Yes')\n elif len(ss) == 3:\n for c in ss:\n if c in s:\n if s.count(c) != 2:\n print('No')\n break\n else:\n print('No')\n else:\n print('Yes')\n else:\n print('No')\nelse:\n print('No')": 0.0, "s = input()\nss = set(s)\nif len(s) >= 4:\n if len(ss) in (3, 4):\n print('Yes')\n elif len(ss) == 2:\n for c in ss:\n if s.count(c) == 3:\n print('No')\n break\n else:\n print('Yes')\n else:\n print('Yes')\nelse:\n print('No')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLet's call a string adorable if its letters can be realigned in such a way that they form two consequent groups of equal symbols (note that different groups must contain different symbols). For example, ababa is adorable (you can transform it to aaabb, where the first three letters form a group of a-s and others \u2014 a group of b-s), but cccc is not since in each possible consequent partition letters in these two groups coincide.\n\n\n\nYou're given a string s. Check whether it can be split into two non-empty subsequences such that the strings formed by these subsequences are adorable. Here a subsequence is an arbitrary set of indexes of the string.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains s (1 \u2264 |s| \u2264 10^5) consisting of lowercase latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \u00abYes\u00bb if the string can be split according to the criteria above or \u00abNo\u00bb otherwise.\n\n\n\nEach letter can be printed in arbitrary case.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given alphanumeric string s. (Alphanumeric string is a string consisting of lowercase English letters and digits).\n\nYou have to find a permutation of\u00a0the string where no letter is followed by another letter and no digit is followed by another digit. That is, no two adjacent characters have the same type.\n\nReturn the reformatted string or return an empty string if it is impossible to reformat the string.", "responses": { "class Solution:\n def reformat(self, s: str) -> str:\n n = [str(i) for i in range(0, 10)]\n a, b = [], []\n for i in s:\n if i in n:\n b.append(i)\n else:\n a.append(i)\n if abs(len(a) - len(b)) > 1:\n return ''\n r = ''\n if len(a) == len(b):\n while a:\n r += a.pop()\n r += b.pop()\n elif len(a) > len(b):\n while b:\n r += a.pop()\n r += b.pop()\n r += a[0]\n else:\n while a:\n r += b.pop()\n r += a.pop()\n r += b[0]\n return r": 1.0, "class Solution:\n def reformat(self, s: str) -> int:\n n = [str(i) for i in range(0, 10)]\n a, b = [], []\n for i in s:\n if i in n:\n a.append(i)\n else:\n b.append(i)\n if abs(len(a) - len(b)) > 1:\n return ''\n r = ''\n if len(a) == len(b):\n while a:\n r += a.pop()\n r += b.pop()\n elif len(a) > len(b):\n while b:\n r += a.pop()\n r += b.pop()\n r += a[0]\n else:\n while a:\n r += b.pop()\n r += a.pop()\n r += b[0]\n return r": 0.0, "class Solution:\n def reformat(self, s: int) -> str:\n n = [str(i) for i in range(0, 10)]\n a, b = [], []\n for i in s:\n if i in n:\n b.append(i)\n else:\n a.append(i)\n if abs(len(a) - len(b)) > 1:\n return ''\n r = ''\n if len(a) == len(b):\n while a:\n r += a.pop()\n r += b.pop()\n elif len(a) > len(b):\n while b:\n r += a.pop()\n r += b.pop()\n r += a[0]\n else:\n while a:\n r += b.pop()\n r += a.pop()\n r += b[0]\n return r": 0.0, "class Solution:\n def reformat(self, s: str) -> str:\n n = [str(i) for i in range(0, 10)]\n a, b = [], []\n for i in s:\n if i in n:\n b.append(i)\n else:\n a.append(i)\n if abs(len(a) - len(b)) > 1:\n return ''\n r = ''\n if len(a) == len(b):\n while a:\n r += a.pop()\n r += b.pop()\n elif len(a) > len(b):\n while b:\n r += a.pop()\n r += b.pop()\n r += a[0]\n else:\n while a:\n r += b.pop()\n r += a.pop()\n r += a[0]\n return r": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven alphanumeric string s. (Alphanumeric string is a string consisting of lowercase English letters and digits).\n\nYou have to find a permutation of\u00a0the string where no letter is followed by another letter and no digit is followed by another digit. That is, no two adjacent characters have the same type.\n\nReturn the reformatted string or return an empty string if it is impossible to reformat the string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Some natural number was written on the board. Its sum of digits was not less than k. But you were distracted a bit, and someone changed this number to n, replacing some digits with others. It's known that the length of the number didn't change.\n\n\n\nYou have to find the minimum number of digits in which these two numbers can differ.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer k (1 \u2264 k \u2264 10^9).\n\n\n\nThe second line contains integer n (1 \u2264 n < 10^100000).\n\n\n\nThere are no leading zeros in n. It's guaranteed that this situation is possible.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum number of digits in which the initial number and n can differ.", "responses": { "k = int(input())\nn = input()\ndigit = [0]*10\nfor c in n:\n digit[int(c)]+= 1\ndsum = sum(i*digit[i] for i in range(10))\ni = 0\nchange = 0\nwhile dsum < k:\n if digit[i] == 0:\n i+= 1\n continue\n digit[i]-= 1\n digit[9]+= 1\n change+= 1\n dsum+= 9-i\nprint(change)": 1.0, "```python\nk = int(input())\nn = input()\ndigit = [0]*10\nfor c in n:\n digit[int(c)]+= 1\nprint(digit[0])\ndsum = sum(i*digit[i] for i in range(10))\ni = 0\nchange = 0\nwhile dsum < k:\n if digit[i] == 0:\n i+= 1\n continue\n digit[i]-= 1\n digit[9]+= 1\n change+= 1\n dsum+= 9-i\nprint(change)\n```": 0.0, "```python\nk = int(input())\nn = input()\ndigit = [0]*10\nfor c in n:\n digit[int(c)]+= 1\ndsum = sum(i*digit[i] for i in range(10))\ni = 0\nchange = None\nwhile dsum < k:\n if digit[i] == 0:\n i+= 1\n continue\n digit[i]-= 1\n digit[9]+= 1\n change+= 1\n dsum+= 9-i\nprint(change)\n```": 0.0, "```python\nk = int(input())\nn = input()\ndigit = [0]*10\nfor c in n:\n digit[int(c)]+= 1\ndsum = sum(i*digit[i] for i in range(10))\ni = 0\nchange = 0\nwhile dsum > k:\n if digit[i] == 0:\n i+= 1\n continue\n digit[i]-= 1\n digit[9]+= 1\n change+= 1\n dsum+= 9-i\nprint(change)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSome natural number was written on the board. Its sum of digits was not less than k. But you were distracted a bit, and someone changed this number to n, replacing some digits with others. It's known that the length of the number didn't change.\n\n\n\nYou have to find the minimum number of digits in which these two numbers can differ.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer k (1 \u2264 k \u2264 10^9).\n\n\n\nThe second line contains integer n (1 \u2264 n < 10^100000).\n\n\n\nThere are no leading zeros in n. It's guaranteed that this situation is possible.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum number of digits in which the initial number and n can differ.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ivan likes to learn different things about numbers, but he is especially interested in really big numbers. Ivan thinks that a positive integer number x is really big if the difference between x and the sum of its digits (in decimal representation) is not less than s. To prove that these numbers may have different special properties, he wants to know how rare (or not rare) they are \u2014 in fact, he needs to calculate the quantity of really big numbers that are not greater than n.\n\n\n\nIvan tried to do the calculations himself, but soon realized that it's too difficult for him. So he asked you to help him in calculations.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first (and the only) line contains two integers n and s (1 \u2264 n, s \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the quantity of really big numbers that are not greater than n.", "responses": { "def check(x, s):\n k = 0\n for i in str(x):\n k += int(i)\n return x - k >= s\nn, s = map(int, input().split())\nl = 0\nr = n\nwhile r - l > 1:\n m = (l + r) // 2\n if check(m, s):\n r = m\n else:\n l = m\nif check(r, s):\n print(n - r + 1)\nelse:\n print(0)": 1.0, "def check(x, s):\n k = 0\n for i in str(x):\n k += int(i)\n return x - k < s # incorrect comparison operator used\n\nn, s = map(int, input().split())\nl = 0\nr = n\nwhile r - l > 1:\n m = (l + r) // 2\n if check(m, s):\n r = m\n else:\n l = m\nif check(r, s):\n print(n - r + 1)\nelse:\n print(0)": 0.0, "def check(x, s):\n k = 0\n for i in str(x):\n k += int(i)\n return x - k >= s\nn, s = map(int, input().split())\nl == 0 # incorrect use of double equals sign\n\nr = n\nwhile r - l > 1:\n m = (l + r) // 2\n if check(m, s):\n r = m\n else:\n l = m\nif check(r, s):\n print(n - r + 1)\nelse:\n print(0)": 0.0, "def check(x, s):\n k = 0\n for i in str(x):\n k += int(i)\n return x - k >= s\nn, s = map(int, input().split())\nl = 0\nr = n\nwhile r - l > 2: # incorrect condition for while loop\n m = (l + r) // 2\n if check(m, s):\n r = m\n else:\n l = m\nif check(r, s):\n print(n - r + 1)\nelse:\n print(0)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIvan likes to learn different things about numbers, but he is especially interested in really big numbers. Ivan thinks that a positive integer number x is really big if the difference between x and the sum of its digits (in decimal representation) is not less than s. To prove that these numbers may have different special properties, he wants to know how rare (or not rare) they are \u2014 in fact, he needs to calculate the quantity of really big numbers that are not greater than n.\n\n\n\nIvan tried to do the calculations himself, but soon realized that it's too difficult for him. So he asked you to help him in calculations.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first (and the only) line contains two integers n and s (1 \u2264 n, s \u2264 10^18).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the quantity of really big numbers that are not greater than n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Two people are playing a game with a string $s$, consisting of lowercase latin letters. \n\n\n\nOn a player's turn, he should choose two consecutive equal letters in the string and delete them. \n\n\n\nFor example, if the string is equal to \"xaax\" than there is only one possible turn: delete \"aa\", so the string will become \"xx\". A player not able to make a turn loses.\n\n\n\nYour task is to determine which player will win if both play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the string $s$, consisting of lowercase latin letters ($1 \\leq |s| \\leq 100\\,000$), where $|s|$ means the length of a string $s$.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the first player wins, print \"Yes\". If the second player wins, print \"No\".", "responses": { "s = input()\nl = []\nt = 0\nfor i in range(len(s)):\n if len(l) > 0:\n if s[i] == l[-1]:\n l.pop()\n t += 1\n else:\n l.append(s[i])\n else:\n l.append(s[i])\nif t % 2 == 0:\n print(\"No\")\nelse:\n print(\"Yes\")": 1.0, "s = input()\nl = []\nt = 0\nfor i in range(len(s)):\n if len(l) > 0:\n if s[i] = l[-1]:\n l.pop()\n t += 1\n else:\n l.append(s[i])\n else:\n l.append(s[i])\nif t % 2 == 0:\n print(\"No\")\nelse:\n print(\"Yes\")": 0.0, "s = input()\nl = []\nt = 0\nfor i in range(len(s)):\n if len(l) > 0:\n if s[i] == l[-1]:\n l.pop()\n t += 1\n else:\n l.append(s[i])\nif t % 2 == 0:\n print(\"No\")\nelse:\n print(\"Yes\")": 0.0, "s = input()\nl = []\nt = 0\nfor i in range(len(s)):\n if len(l) > 0:\n if s[i] == l[-1]:\n l.pop()\n t += 1\n else:\n l.append(s[i])\nif t % 2 == 0:\n print(\"No\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTwo people are playing a game with a string $s$, consisting of lowercase latin letters. \n\n\n\nOn a player's turn, he should choose two consecutive equal letters in the string and delete them. \n\n\n\nFor example, if the string is equal to \"xaax\" than there is only one possible turn: delete \"aa\", so the string will become \"xx\". A player not able to make a turn loses.\n\n\n\nYour task is to determine which player will win if both play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains the string $s$, consisting of lowercase latin letters ($1 \\leq |s| \\leq 100\\,000$), where $|s|$ means the length of a string $s$.\n\n\n\n\n\n-----Output-----\n\n\n\nIf the first player wins, print \"Yes\". If the second player wins, print \"No\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N students in a class. Some of them are friends, while some are not. Their friendship is transitive in nature. For example, if A is a direct friend of B, and B is a direct friend of C, then A is an indirect friend of C. And we defined a friend circle is a group of students who are direct or indirect friends.\n\n\n\n\n\n\n\nGiven a N*N matrix M representing the friend relationship between students in the class. If M[i][j] = 1, then the ith and jth students are direct friends with each other, otherwise not. And you have to output the total number of friend circles among all the students.", "responses": { "class Solution:\n def findCircleNum(self, M):\n N = len(M)\n students = set()\n for i in range(N):\n students.add(i)\n \n num_grp = 0\n while students:\n num_grp += 1\n stack = [students.pop()]\n while stack and students:\n student = stack.pop()\n for i in range(N):\n if M[student][i] == 1 and i in students:\n stack.append(i)\n students.discard(i)\n return num_grp": 1.0, "class Solution:\n dif findCircleNum(self, M):\n N = len(M)\n students = set()\n for i in range(N):\n students.add(i)\n \n num_grp = 0\n while students:\n num_grp += 1\n stack = [students.pop()]\n while stack and students:\n student = stack.pop()\n for i in range(N):\n if M[student][i] == 1 and i in students:\n stack.append(i)\n students.discard(i)\n return num_grp": 0.0, "class Solution:\n def findCircleNum(self, M):\n N = len(M)\n students = set()\n for i in range(N)\n students.add(i)\n \n num_grp = 0\n while students:\n num_grp += 1\n stack = [students.pop()]\n while stack and students:\n student = stack.pop()\n for i in range(N):\n if M[student][i] == 1 and i in students:\n stack.append(i)\n students.discard(i)\n return num_grp": 0.0, "class Solution:\n def findCircleNum(self, M):\n N = len(M)\n students = set()\n for i in range(N):\n students.add(i)\n \n num_grp = 0\n while students:\n num_grp += 1\n stack = students.pop()\n while stack and students:\n student = stack.pop()\n for i in range(N):\n if M[student][i] == 1 and i in students:\n stack.append(i)\n students.discard(i)\n return num_grp": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N students in a class. Some of them are friends, while some are not. Their friendship is transitive in nature. For example, if A is a direct friend of B, and B is a direct friend of C, then A is an indirect friend of C. And we defined a friend circle is a group of students who are direct or indirect friends.\n\n\n\n\n\n\n\nGiven a N*N matrix M representing the friend relationship between students in the class. If M[i][j] = 1, then the ith and jth students are direct friends with each other, otherwise not. And you have to output the total number of friend circles among all the students.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a positive integer, return its corresponding column title as appear in an Excel sheet.\n\n\n\nFor example:\n\n\n\n\n\n 1 -> A\n\n 2 -> B\n\n 3 -> C\n\n ...\n\n 26 -> Z\n\n 27 -> AA\n\n 28 -> AB \n\n ...", "responses": { "class Solution:\n def convertToTitle(self, n):\n \"\"\"\n :type n: int\n :rtype: str\n \"\"\"\n ans = ''\n a = 0\n \n while n>0:\n if a>0:\n n = n//26\n p = n%26\n if p==0:\n p=26\n ans += chr(64+p)\n n -= p\n a += 1\n \n return ans[::-1]": 1.0, "class Solution:\n def convertToTitle(self, n):\n ans = ''\n a = 0\n \n while n>0:\n if a>0:\n n = n//26\n p = n%36 # Incorrect modulo operation\n if p==0:\n p=26\n ans += chr(64+p)\n n -= p\n a += 1\n \n return ans[::-1]": 0.0, "class Solution:\n def convertToTitle(self, n):\n ans = ''\n a = 0\n \n while n>0:\n if a>=0: # Incorrect condition for if statement\n n = n//26\n p = n%26\n if p==0:\n p=26\n ans += chr(64+p)\n n -= p\n a += 1\n \n return ans[::-1]": 0.0, "class Solution:\n def convertToTitle(self, n):\n \"\"\"\n :type n: int\n :rtype: str\n \"\"\"\n ans = ''\n a = 0\n \n while n>=0: # Incorrect condition for while loop\n if a>0:\n n = n//26\n p = n%26\n if p==0:\n p=26\n ans += chr(64+p)\n n -= p\n a += 1\n \n return ans[::-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a positive integer, return its corresponding column title as appear in an Excel sheet.\n\n\n\nFor example:\n\n\n\n\n\n 1 -> A\n\n 2 -> B\n\n 3 -> C\n\n ...\n\n 26 -> Z\n\n 27 -> AA\n\n 28 -> AB \n\n ...\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "One way to serialize a binary tree is to use pre-order traversal. When we encounter a non-null node, we record the node's value. If it is a null node, we record using a sentinel value such as #.\n\n\n\n\n\n _9_\n\n / \\\n\n 3 2\n\n / \\ / \\\n\n 4 1 # 6\n\n/ \\ / \\ / \\\n\n# # # # # #\n\n\n\n\n\nFor example, the above binary tree can be serialized to the string \"9,3,4,#,#,1,#,#,2,#,6,#,#\", where # represents a null node.\n\n\n\nGiven a string of comma separated values, verify whether it is a correct preorder traversal serialization of a binary tree. Find an algorithm without reconstructing the tree.\n\n\n\nEach comma separated value in the string must be either an integer or a character '#' representing null pointer.\n\n\n\nYou may assume that the input format is always valid, for example it could never contain two consecutive commas such as \"1,,3\".", "responses": { "class Solution(object):\n def isValidSerialization(self, preorder):\n \"\"\"\n :type preorder: str\n :rtype: bool\n \"\"\"\n # remember how many empty slots we have\n # non-null nodes occupy one slot but create two new slots\n # null nodes occupy one slot\n \n p = preorder.split(',')\n \n #initially we have one empty slot to put the root in it\n slot = 1\n for node in p:\n \n # no empty slot to put the current node\n if slot == 0:\n return False\n \n # a null node?\n if node == '#':\n # ocuppy slot\n slot -= 1\n else:\n # create new slot\n slot += 1\n \n #we don't allow empty slots at the end\n return slot==0": 1.0, "class Solution(object):\n def isValidSerialization(self, preorder):\n \"\"\"\n :type preorder: str\n :rtype: bool\n \"\"\"\n p = preorder.split(',')\n \n slot = 1\n for node in p:\n if slot == 0:\n return False\n if node == '#':\n slot -= 1\n else:\n slot += 1\n return slot==1": 0.0, "class Solution(object):\n def isValidSerialization(self, preorder):\n p = preorder.split(',')\n slot = 1\n for node in p:\n \n if slot == 0:\n return False\n if node == '#':\n slot -= 2\n else:\n slot += 1\n return slot==0": 0.0, "class Solution(object):\n def isValidSerialization(self, preorder):\n \"\"\"\n :type preorder: str\n :rtype: bool\n \"\"\"\n p = preorder.split(',')\n \n slot = 1\n for node in p:\n \n if slot == 0:\n return False\n if node == '#':\n slot -= 1\n else:\n slot += 2\n return slot==0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOne way to serialize a binary tree is to use pre-order traversal. When we encounter a non-null node, we record the node's value. If it is a null node, we record using a sentinel value such as #.\n\n\n\n\n\n _9_\n\n / \\\n\n 3 2\n\n / \\ / \\\n\n 4 1 # 6\n\n/ \\ / \\ / \\\n\n# # # # # #\n\n\n\n\n\nFor example, the above binary tree can be serialized to the string \"9,3,4,#,#,1,#,#,2,#,6,#,#\", where # represents a null node.\n\n\n\nGiven a string of comma separated values, verify whether it is a correct preorder traversal serialization of a binary tree. Find an algorithm without reconstructing the tree.\n\n\n\nEach comma separated value in the string must be either an integer or a character '#' representing null pointer.\n\n\n\nYou may assume that the input format is always valid, for example it could never contain two consecutive commas such as \"1,,3\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.", "responses": { "class Solution:\n def missingNumber(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if 0 not in nums:\n return 0\n array=sorted(nums)\n for i in range(len(array)):\n try:\n dif=array[i+1]-array[i]\n if dif!=1:\n return array[i]+1\n except:\n return array[-1]+1": 1.0, "class Solution:\n def missingNumber(self, nums):\n \n if 0 not in nums:\n return 0\n array=sorted(nums)\n for i in range(len(array)):\n try:\n dif=array[i+1]-array[i]\n if dif!=1:\n return array[i]+1\n except:\n return array[-1]+1": 0.0, "class Solution:\n def missingNumber(self, nums):\n if 0 not in nums:\n \n return 0\n array=sorted(nums)\n for i in range(len(array)):\n try:\n dif=array[i+1]-array[i]\n if dif!=1:\n return array[i]+1\n except:\n return array[-1]+1": 0.0, "class Solution:\n def missingNumber(self, nums):\n if 0 not in nums:\n return 0\n array=sorted(nums)\n for i in range(len(array)):\n try:\n dif=array[i+1]-array[i]\n if dif!=1:\n return array[i]+1\n except:\n return array[-1]+0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alex\u00a0and Lee continue their\u00a0games with piles of stones.\u00a0 There are a number of\u00a0piles\u00a0arranged in a row, and each pile has a positive integer number of stones\u00a0piles[i].\u00a0 The objective of the game is to end with the most\u00a0stones.\u00a0\n\nAlex and Lee take turns, with Alex starting first.\u00a0 Initially, M = 1.\n\nOn each player's turn, that player\u00a0can take all the stones in the first X remaining piles, where 1 <= X <= 2M.\u00a0 Then, we set\u00a0M = max(M, X).\n\nThe game continues until all the stones have been taken.\n\nAssuming Alex and Lee play optimally, return the maximum number of stones Alex can get.", "responses": { "from functools import *\nclass Solution:\n def stoneGameII(self, arr):\n a =[]\n s=0\n n = len(arr)\n for i in arr[::-1]:\n s+=i\n a.append(s)\n a=a[::-1]\n @lru_cache(None)\n def fun(i,m):\n if i+2*m>=n:return a[i]\n mn = inf\n for ii in range(1,2*m+1):\n if ii>m:\n ans = fun(i+ii,ii)\n else:\n ans=fun(i+ii,m)\n if ans=n:return a[i]\n mn = inf\n for ii in range(1,2*m+1):\n if ii>m:\n ans = fun(i+ii,ii)\n else:\n ans=fun(i+ii,m)\n if ans= n: return a[i]\n mn = inf\n for ii in range(1, 2 * m + 1):\n if ii > m:\n ans = fun(i + ii, ii)\n else:\n ans = fun(i + ii, m)\n if ans < mn:\n mn = ans\n return a[i] - mn\n return fun(0, 1)": 0.0, "from functools import *\nclass Solution:\n def stoneGameII(self, arr):\n a = []\n s = 0\n n = len(arr)\n for i in arr[::-1]:\n s += i\n a.append(s)\n a = a[::-1]\n @lru_cache(None)\n def fun(i, m):\n if i + 2 * m >= n: return a[i]\n mn = inf\n for ii in range(1, 2 * m + 1):\n if ii > m:\n ans = fun(i + ii, ii)\n else:\n ans = fun(i + ii, m)\n if ans < mn:\n mn = ans\n return a[i] - mn\n return fun(0, 1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlex\u00a0and Lee continue their\u00a0games with piles of stones.\u00a0 There are a number of\u00a0piles\u00a0arranged in a row, and each pile has a positive integer number of stones\u00a0piles[i].\u00a0 The objective of the game is to end with the most\u00a0stones.\u00a0\n\nAlex and Lee take turns, with Alex starting first.\u00a0 Initially, M = 1.\n\nOn each player's turn, that player\u00a0can take all the stones in the first X remaining piles, where 1 <= X <= 2M.\u00a0 Then, we set\u00a0M = max(M, X).\n\nThe game continues until all the stones have been taken.\n\nAssuming Alex and Lee play optimally, return the maximum number of stones Alex can get.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string\u00a0S of '(' and ')' parentheses, we add the minimum number of parentheses ( '(' or ')', and in any positions ) so that the resulting parentheses string is valid.\n\nFormally, a parentheses string is valid if and only if:\n\n\n\nIt is the empty string, or\n\nIt can be written as AB\u00a0(A concatenated with B), where A and B are valid strings, or\n\nIt can be written as (A), where A is a valid string.\n\n\n\nGiven a parentheses string, return the minimum number of parentheses we must add to make the resulting string valid.", "responses": { "class Solution:\n def minAddToMakeValid(self, S: str) -> int:\n if not S:\n return 0\n \n stack = []\n \n add = 0\n for c in S:\n if c == '(':\n stack.append(c)\n elif c == ')':\n if stack:\n stack.pop()\n else:\n add += 1\n \n add += len(stack)\n \n return add": 1.0, "class Solution:\n def minAddToMakeValid(self, S: str) -> int:\n if not S:\n return 0\n \n stack = []\n \n add = 0\n for c in S:\n if c == '(':\n stack.append(c)\n elif c == ')':\n if stack:\n add += 1\n else:\n add += 1\n \n add += len(stack)\n \n return add": 0.0, "class Solution:\n def minAddToMakeValid(self, S: str) -> int:\n if not S:\n return 0\n \n stack = []\n \n add = 0\n for c in S:\n if c == '(':\n stack.append(c)\n elif c == ')':\n if stack:\n stack.pop()\n else:\n add -= 1\n \n add += len(stack)\n \n return add": 0.0, "class Solution:\n def minAddToMakeValid(self, S: str) -> int:\n if not S:\n return 0\n \n stack = []\n \n add = 0\n for c in S:\n if c == '(':\n stack.append(c)\n elif c == ')':\n if stack:\n stack.pop()\n else:\n add += 1\n \n add -= len(stack)\n \n return add": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string\u00a0S of '(' and ')' parentheses, we add the minimum number of parentheses ( '(' or ')', and in any positions ) so that the resulting parentheses string is valid.\n\nFormally, a parentheses string is valid if and only if:\n\n\n\nIt is the empty string, or\n\nIt can be written as AB\u00a0(A concatenated with B), where A and B are valid strings, or\n\nIt can be written as (A), where A is a valid string.\n\n\n\nGiven a parentheses string, return the minimum number of parentheses we must add to make the resulting string valid.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Petya has k matches, placed in n matchboxes lying in a line from left to right. We know that k is divisible by n. Petya wants all boxes to have the same number of matches inside. For that, he can move a match from its box to the adjacent one in one move. How many such moves does he need to achieve the desired configuration?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 50000). The second line contains n non-negative numbers that do not exceed 10^9, the i-th written number is the number of matches in the i-th matchbox. It is guaranteed that the total number of matches is divisible by n.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the total minimum number of moves.", "responses": { "\"\"\"\nCodeforces Testing Round 10 Problem B\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\ns = sum(a) // n\nr = 0\nfor i in range(n-1):\n if a[i] < s:\n r += s - a[i]\n a[i+1] -= s - a[i]\n else:\n r += a[i] - s\n a[i+1] += a[i] - s\nprint(r)": 1.0, "\"\"\"\nCodeforces Testing Round 10 Problem B\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\ns = sum(a) // n\nr = 0\nfor i in range(n-1):\n if a[i] < s:\n r += s - a[i]\n a[i+2] -= s - a[i] # Moved a match to the box two spaces away\n else:\n r += a[i] - s\n a[i+1] += a[i] - s\nprint(r)": 0.0, "\"\"\"\nCodeforces Testing Round 10 Problem B\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\ns = sum(a) // n\nr = 0\nfor i in range(n-1):\n if a[i] < s:\n r += s - a[i]\n a[i+1] -= s - a[i]\n a[i+1] += s - a[i] # Added matches to the wrong adjacent box\n else:\n r += a[i] - s\n a[i+1] += a[i] - s\nprint(r)": 0.0, "\"\"\"\nCodeforces Testing Round 10 Problem B\nAuthor : chaotic_iak\nLanguage: Python 3.3.4\n\"\"\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0:\n return inputs\n if mode == 1:\n return inputs.split()\n if mode == 2:\n return [int(x) for x in inputs.split()]\ndef write(s=\"\\n\"):\n if isinstance(s, list): s = \" \".join(s)\n s = str(s)\n print(s, end=\"\")\nn, = read()\na = read()\ns = sum(a) // n\nr = 0\nfor i in range(n+1): # Looping through incorrect range\n if a[i] < s:\n r += s - a[i]\n a[i+1] -= s - a[i]\n else:\n r += a[i] - s\n a[i+1] += a[i] - s\nprint(r)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPetya has k matches, placed in n matchboxes lying in a line from left to right. We know that k is divisible by n. Petya wants all boxes to have the same number of matches inside. For that, he can move a match from its box to the adjacent one in one move. How many such moves does he need to achieve the desired configuration?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 50000). The second line contains n non-negative numbers that do not exceed 10^9, the i-th written number is the number of matches in the i-th matchbox. It is guaranteed that the total number of matches is divisible by n.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the total minimum number of moves.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alice has a hand of cards, given as an array of integers.\n\nNow she wants to rearrange the cards into groups so that each group is size W, and consists of W consecutive cards.\n\nReturn true if and only if she can.", "responses": { "class Solution:\n def isNStraightHand(self, hand: List[int], W: int) -> bool:\n # 1, 2, 2, 3, 3, 4, 6, 7, 8\n # 1 2 3\n # 2 3 4\n # 6 7 8\n \n # W length Q\n # how many opened\n # # of the element is current opened one\n \n q = deque()\n opened = 0\n last = 0\n counter = Counter(hand)\n for n in sorted(counter):\n count = counter[n]\n if n > last + 1 and opened > 0:\n return False\n \n if n == last + 1 and count < opened:\n return False\n \n \n q.append(count - opened)\n opened = count\n \n if len(q) == W:\n opened -= q.popleft()\n \n last = n\n return not opened": 1.0, "class Solution:\n def isNStraightHand(self, hand: List[int], W: int) -> bool:\n q = deque()\n opened = 0\n last = 0\n counter = Counter(hand)\n for n in sorted(counter):\n count = counter[n]\n if n > last + 1 and opened > 0:\n return True # Incorrect return statement\n \n if n == last + 1 and count < opened:\n return False\n \n \n q.append(count - opened)\n opened = count\n \n if len(q) == W:\n opened -= q.popleft()\n \n last = n\n return not opened": 0.0, "class Solution:\n def isNStraightHand(self, hand: List[int], W: int) -> bool:\n q = deque()\n opened = 0\n last = 0\n counter = Counter(hand)\n for n in sorted(counter):\n count = counter[n]\n if n > last + 1 and opened > 0:\n return False\n \n if n == last + 2 and count < opened: # Incorrect condition\n return False\n \n \n q.append(count - opened)\n opened = count\n \n if len(q) == W:\n opened -= q.popleft()\n \n last = n\n return not opened": 0.0, "class Solution:\n def isNStraightHand(self, hand: List[int], W: int) -> bool:\n q = deque()\n opened = 0\n last = 0\n counter = Counter(hand)\n for n in sorted(counter):\n count = counter[n]\n if n > last + 1 and opened > 0:\n return False\n \n if n == last + 1 and count <= opened: # Incorrect condition\n return False\n \n \n q.append(count - opened)\n opened = count\n \n if len(q) == W:\n opened -= q.pop() # Incorrect method (should be popleft instead of pop)\n \n last = n\n return not opened": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlice has a hand of cards, given as an array of integers.\n\nNow she wants to rearrange the cards into groups so that each group is size W, and consists of W consecutive cards.\n\nReturn true if and only if she can.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array arr\u00a0and an integer k, modify the array by repeating it k times.\n\nFor example, if arr\u00a0= [1, 2] and k = 3 then the modified array will be [1, 2, 1, 2, 1, 2].\n\nReturn the maximum sub-array sum in the modified array. Note that the length of the sub-array can be 0\u00a0and its sum in that case is 0.\n\nAs the answer can be very large, return the answer\u00a0modulo\u00a010^9 + 7.", "responses": { "class Solution:\n def kConcatenationMaxSum(self, arr: List[int], k: int) -> int:\n oneArrSum = sum(arr)\n twoArr = arr + arr\n \n def findMaxSub(array):\n if len(array) == 1:\n return array[0]\n \n cur = 0\n small = 0\n ret = -999999\n for i in array:\n cur += i\n small = cur if cur < small else small\n ret = cur - small if cur - small > ret else ret\n \n return 0 if ret < 0 else ret\n \n if not arr:\n return 0\n if k == 1:\n return findMaxSub(arr)\n \n ret = findMaxSub(twoArr)\n if oneArrSum > 0 and k > 2:\n ret += (k-2)*oneArrSum\n return ret % (10**9 + 7)": 1.0, "class Solution:\n def kConcatenationMaxSum(self, arr: List[int], k: int) -> int:\n oneArrSum = sum(arr)\n twoArr = arr + arr\n \n def findMaxSub(array):\n if len(array) == 1:\n return array[0]\n \n cur = 0\n small = 0\n ret = -999999\n for i in array:\n cur += i\n small = cur if cur < small else small\n ret = cur - small if cur - small > ret else ret\n \n return 0 if ret < 0 else ret\n \n if not arr:##\n x=0\n return 0\n if k == 1:\n return findMaxSub(arr)\n \n ret = findMaxSub(twoArr)\n if oneArrSum > 0 and k > 2:\n ret += (k-2)*oneArrSum\n return ret % (10**9 + 7)": 0.0, "class Solution:\n def kConcatenationMaxSum(self, arr: List[int], k: int) -> int:\n oneArrSum = sum(arr)\n twoArr = arr + arr\n \n def findMaxSub(array):\n if len(array) == 1:\n return array[0]\n x=0\n cur = 0\n small = 0\n ret = -999999\n for i in array:\n cur += i\n small = cur if cur < small else small\n ret = cur - small if cur - small > ret else ret\n \n return 0 if ret < 0 else ret\n \n if not arr:\n return 0\n if k == 1:\n return findMaxSub(arr)\n \n ret = findMaxSub(twoArr)\n if oneArrSum > 0 and k > 2:\n ret += (k-2)*oneArrSum\n return ret % (10**9 + 7)": 0.0, "class Solution:\n def kConcatenationMaxSum(self, arr: List[int], k: int) -> int:\n oneArrSum = sum(arr)\n twoArr = arr + arr\n \n def findMaxSub(array):\n if len(array) == 1:\n return array[0]\n \n cur = 0\n small = 0\n ret = -99999999\n for i in array:\n cur += i\n small = cur if cur < small else small\n ret = cur - small if cur - small > ret else ret\n x=0\n return 0 if ret < 0 else ret\n \n if not arr:\n return 0\n if k == 1:\n return findMaxSub(arr)\n \n ret = findMaxSub(twoArr)\n if oneArrSum > 0 and k > 2:\n ret += (k-2)*oneArrSum\n return ret % (10**9 + 7)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array arr\u00a0and an integer k, modify the array by repeating it k times.\n\nFor example, if arr\u00a0= [1, 2] and k = 3 then the modified array will be [1, 2, 1, 2, 1, 2].\n\nReturn the maximum sub-array sum in the modified array. Note that the length of the sub-array can be 0\u00a0and its sum in that case is 0.\n\nAs the answer can be very large, return the answer\u00a0modulo\u00a010^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef is making polygon cakes in his kitchen today! \n\nSince the judge panel is very strict, Chef's cakes must be beautiful and have sharp and precise $internal$ angles in arithmetic progression. \n\nGiven the number of sides, $N$, of the cake Chef is baking today and also the measure of its first angle(smallest angle), $A$, find the measure of the $K^{th}$ angle.\n\n\n\n-----Input:-----\n\n- The first line contains a single integer $T$, the number of test cases. \n\n- The next $T$ lines contain three space separated integers $N$, $A$ and $K$, the number of sides of polygon, the first angle and the $K^{th}$ angle respectively. \n\n\n\n-----Output:-----\n\nFor each test case, print two space separated integers $X$ and $Y$, such that the $K^{th}$ angle can be written in the form of $X/Y$ and $gcd(X, Y) = 1$\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 50$\n\n- $3 \\leq N \\leq 1000$\n\n- $1 \\leq A \\leq 1000000000$\n\n- $1 \\leq K \\leq N$\n\n- It is guaranteed the answer is always valid.\n\n\n\n-----Sample Input:-----\n\n1\n\n3 30 2\n\n\n\n-----Sample Output:-----\n\n60 1", "responses": { "import math\nT = int(input())\nfor _ in range(T):\n N, A, K = map(int, input().split(\" \"))\n total = (N-2) * 180\n diffT = total - N*A\n diffN = sum(range(1,N))\n r = (A*diffN+(K-1)*diffT)\n \n d = math.gcd(r, diffN)\n while d > 1:\n r//=d\n diffN//=d\n d = math.gcd(r, diffN)\n print(r, diffN)": 1.0, "import math\nT = int(input())\nfor _ in range(T):\n N, A, K = map(int, input().split(\" \"))\n total = (N-2) * 180\n diffT = total * N*A # <-- Bug: multiplication instead of subtraction\n diffN = sum(range(1,N))\n r = (A*diffN+(K-1)*diffT)\n \n d = math.gcd(r, diffN)\n while d > 1:\n r//=d\n diffN//=d\n d = math.gcd(r, diffN)\n print(r, diffN)": 0.0, "import math\nT = int(input())\nfor _ in range(T):\n N, A, K = map(int, input().split(\" \"))\n total = (N-2) * 180\n diffT = total - N*A\n diffN = sum(range(1,N))\n r = (A*diffN+(K-1)**diffT) # <-- Bug: incorrect operator used in exponentiation\n # Bug: missing line here\n \n d = math.gcd(r, diffN)\n while d > 1:\n r//=d\n diffN//=d\n d = math.gcd(r, diffN)\n print(r, diffN)": 0.0, "import math\nT = int(input())\nfor _ in range(T):\n N, A, K = map(int, input().split(\" \"))\n total = (N-2) * 180\n diffT = total - N*A\n diffN = sum(range(1,N))\n r = (A*diffN+(K-1)*diffT)\n \n d = math.gcd(r, diffN)\n while d > 1:\n # Bug: missing line here\n r//=d\n diffN//=d\n d = math.gcd(r, diffN)\n print(r, diffN)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef is making polygon cakes in his kitchen today! \n\nSince the judge panel is very strict, Chef's cakes must be beautiful and have sharp and precise $internal$ angles in arithmetic progression. \n\nGiven the number of sides, $N$, of the cake Chef is baking today and also the measure of its first angle(smallest angle), $A$, find the measure of the $K^{th}$ angle.\n\n\n\n-----Input:-----\n\n- The first line contains a single integer $T$, the number of test cases. \n\n- The next $T$ lines contain three space separated integers $N$, $A$ and $K$, the number of sides of polygon, the first angle and the $K^{th}$ angle respectively. \n\n\n\n-----Output:-----\n\nFor each test case, print two space separated integers $X$ and $Y$, such that the $K^{th}$ angle can be written in the form of $X/Y$ and $gcd(X, Y) = 1$\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 50$\n\n- $3 \\leq N \\leq 1000$\n\n- $1 \\leq A \\leq 1000000000$\n\n- $1 \\leq K \\leq N$\n\n- It is guaranteed the answer is always valid.\n\n\n\n-----Sample Input:-----\n\n1\n\n3 30 2\n\n\n\n-----Sample Output:-----\n\n60 1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of non-negative integers arr, you are initially positioned at start\u00a0index of the array. When you are at index i, you can jump\u00a0to i + arr[i] or i - arr[i], check if you can reach to any index with value 0.\n\nNotice that you can not jump outside of the array at any time.", "responses": { "class Solution:\n def canReach(self, arr: List[int], start: int) -> bool:\n \n dq = collections.deque([start])\n visited = set([start])\n \n while dq:\n \n curr = dq.pop()\n \n if arr[curr] == 0:\n return True\n \n if (curr + arr[curr]) not in visited and (curr + arr[curr]) < len(arr):\n dq.appendleft(curr + arr[curr])\n visited.add(curr + arr[curr])\n if (curr - arr[curr]) not in visited and (curr - arr[curr]) >= 0:\n dq.appendleft(curr - arr[curr])\n visited.add(curr - arr[curr])\n \n return False": 1.0, "class Solution:\n def canReach(self, arr: List[int], start: int) -> bool:\n \n dq = collections.deque([start])\n visited = set([start])\n \n while dq:\n \n curr = dq.pop()\n \n if arr[curr] == 0:\n return True\n \n if (curr + arr[curr]) not in visited and (curr + arr[curr]) < len(arr):\n dq.appendleft(curr + arr[curr])\n visited.add(curr + arr[curr])\n if (curr - arr[curr]) not in visited and (curr - arr[curr]) >= len(arr): # Bug: should be >= 0 not >= len(arr)\n dq.appendleft(curr - arr[curr])\n visited.add(curr - arr[curr])\n \n return False": 0.0, "class Solution:\n def canReach(self, arr: List[int], start: int) -> bool:\n \n dq = collections.deque([start])\n visited = set([start])\n \n while dq:\n \n curr = dq.pop()\n \n if arr[curr] == 0:\n return True\n \n if (curr + arr[curr]) not in visited and (curr + arr[curr]) < len(arr):\n dq1.appendleft(curr + arr[curr]) # Bug: variable name should be dq not dq1\n visited.add(curr + arr[curr])\n if (curr - arr[curr]) not in visited and (curr - arr[curr]) >= 0:\n dq.appendleft(curr - arr[curr])\n visited.add(curr - arr[curr])\n \n return False": 0.0, "class Solution:\n def canReach(self, arr: List[int], start: int) -> bool:\n \n dq = collections.deque([start])\n visited = set([start])\n \n while dq:\n \n curr = dq.pop()\n \n if arr[curr] == 0:\n return True\n \n if (curr + arr[curr]) not in visited and (curr + arr[curr]) <= len(arr): # Bug: should be < len(arr) not <= len(arr)\n dq.appendleft(curr + arr[curr])\n visited.add(curr + arr[curr])\n if (curr - arr[curr]) not in visited and (curr - arr[curr]) >= 0:\n dq.appendleft(curr - arr[curr])\n visited.add(curr - arr[curr])\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of non-negative integers arr, you are initially positioned at start\u00a0index of the array. When you are at index i, you can jump\u00a0to i + arr[i] or i - arr[i], check if you can reach to any index with value 0.\n\nNotice that you can not jump outside of the array at any time.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Toad Ivan has $m$ pairs of integers, each integer is between $1$ and $n$, inclusive. The pairs are $(a_1, b_1), (a_2, b_2), \\ldots, (a_m, b_m)$. \n\n\n\nHe asks you to check if there exist two integers $x$ and $y$ ($1 \\leq x < y \\leq n$) such that in each given pair at least one integer is equal to $x$ or $y$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers $n$ and $m$ ($2 \\leq n \\leq 300\\,000$, $1 \\leq m \\leq 300\\,000$)\u00a0\u2014 the upper bound on the values of integers in the pairs, and the number of given pairs.\n\n\n\nThe next $m$ lines contain two integers each, the $i$-th of them contains two space-separated integers $a_i$ and $b_i$ ($1 \\leq a_i, b_i \\leq n, a_i \\neq b_i$)\u00a0\u2014 the integers in the $i$-th pair.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\" if there exist two integers $x$ and $y$ ($1 \\leq x < y \\leq n$) such that in each given pair at least one integer is equal to $x$ or $y$. Otherwise, print \"NO\". You can print each letter in any case (upper or lower).", "responses": { "from copy import copy\nn, m = map(int, input().split())\nP = []\nz = set()\nfor i in range(1, n + 1):\n z.add(i)\nfor i in range(m):\n P.append(list(map(int, input().split())))\nfor x in P[0][0], P[0][1]:\n s = copy(z)\n for i in range(1, m):\n a, b = P[i]\n if a != x and b != x:\n s.intersection_update({a, b})\n if len(s):\n print('YES')\n return\nprint('NO')": 1.0, "from copy import copy\nn, m = map(int, input().split())\nP = []\nz = set()\nfor i in range(1, n + 1):\n z.add(i)\nfor i in range(m):\n P.append(list(map(int, input().split())))\nfor x in P[0][0], P[0][1]:\n s = copy(z)\n for i in range(1, m):\n a, b = P[i]\n if a = x and b != x:\n s.intersection_update({a, b})\n if len(s):\n print('YES')\n return\nprint('NO')": 0.0, "from copy import copy\nn, m = map(int, input().split())\nP = []\nz = set()\nfor i in range(1, n + 1):\n z.add(i)\nfor i in range(m):\n P.append(list(map(int, input().split())))\nfor x in P[0][0], P[0][1]:\n s = copy(z)\n for i in range(1, m):\n a, b = P[i]\n if a != x or b != x:\n s.intersection_update({a, b})\n if len(s) == 0:\n print('NO')\n return\nprint('YES')": 0.0, "from copy import copy\nn, m = map(int, input().split())\nP = []\nz = set()\nfor i in range(1, n + 1):\n z.add(i)\nfor i in range(m):\n P.append(list(map(int, input().split())))\nfor x in P[0][0], P[0][1]:\n s = copy(z)\n for i in range(1, m):\n a, b = P[i]\n if a != x and b != x:\n s.intersection_update({a, b})\n if len(s) == 0:\n print('NO')\n break\nprint('YES')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nToad Ivan has $m$ pairs of integers, each integer is between $1$ and $n$, inclusive. The pairs are $(a_1, b_1), (a_2, b_2), \\ldots, (a_m, b_m)$. \n\n\n\nHe asks you to check if there exist two integers $x$ and $y$ ($1 \\leq x < y \\leq n$) such that in each given pair at least one integer is equal to $x$ or $y$.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers $n$ and $m$ ($2 \\leq n \\leq 300\\,000$, $1 \\leq m \\leq 300\\,000$)\u00a0\u2014 the upper bound on the values of integers in the pairs, and the number of given pairs.\n\n\n\nThe next $m$ lines contain two integers each, the $i$-th of them contains two space-separated integers $a_i$ and $b_i$ ($1 \\leq a_i, b_i \\leq n, a_i \\neq b_i$)\u00a0\u2014 the integers in the $i$-th pair.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\" if there exist two integers $x$ and $y$ ($1 \\leq x < y \\leq n$) such that in each given pair at least one integer is equal to $x$ or $y$. Otherwise, print \"NO\". You can print each letter in any case (upper or lower).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of non-negative integers, you are initially positioned at the first index of the array.\n\n\n\nEach element in the array represents your maximum jump length at that position.\n\n\n\nDetermine if you are able to reach the last index.", "responses": { "class Solution:\n def canJump(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n n = len(nums)\n \n can = True\n smallest_idx = n - 1\n \n for i in range(n - 2, -1, -1):\n can = i + nums[i] >= smallest_idx\n if can:\n smallest_idx = i\n return can": 1.0, "class Solution:\n def canJump(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n n = len(nums)\n \n can = True\n smallest_idx = n - 2\n \n for i in range(n - 2, -1, -1):\n can = i + nums[i] >= smallest_idx\n if can:\n smallest_idx = i\n return can": 0.0, "class Solution:\n def canJump(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n n = len(nums)\n \n can = True\n smallest_idx = n - 1\n \n for i in range(n - 1, -1, -1):\n can = i + nums[i] > smallest_idx\n if can:\n smallest_idx = i\n return can": 0.0, "class Solution:\n def canJump(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: bool\n \"\"\"\n n = len(nums)\n \n can = True\n smallest_idx = n - 1\n \n for i in range(n - 1, -1, -1):\n can = i + nums[i] >= smallest_idx\n if can:\n smallest_idx = i - 1\n return can": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of non-negative integers, you are initially positioned at the first index of the array.\n\n\n\nEach element in the array represents your maximum jump length at that position.\n\n\n\nDetermine if you are able to reach the last index.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You went to the store, selling $n$ types of chocolates. There are $a_i$ chocolates of type $i$ in stock.\n\n\n\nYou have unlimited amount of cash (so you are not restricted by any prices) and want to buy as many chocolates as possible. However if you buy $x_i$ chocolates of type $i$ (clearly, $0 \\le x_i \\le a_i$), then for all $1 \\le j < i$ at least one of the following must hold: $x_j = 0$ (you bought zero chocolates of type $j$) $x_j < x_i$ (you bought less chocolates of type $j$ than of type $i$) \n\n\n\nFor example, the array $x = [0, 0, 1, 2, 10]$ satisfies the requirement above (assuming that all $a_i \\ge x_i$), while arrays $x = [0, 1, 0]$, $x = [5, 5]$ and $x = [3, 2]$ don't.\n\n\n\nCalculate the maximum number of chocolates you can buy.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$), denoting the number of types of chocolate.\n\n\n\nThe next line contains $n$ integers $a_i$ ($1 \\le a_i \\le 10^9$), denoting the number of chocolates of each type.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of chocolates you can buy.", "responses": { "rr = lambda: input().strip()\nrri = lambda: int(rr())\nrrm = lambda: list(map(int, rr().split()))\ndef solve(N, A):\n ans = 0\n prev = float('inf')\n for x in reversed(A):\n x = min(x, prev - 1)\n ans += max(x, 0)\n prev = x\n return ans\nfor tc in range(1):#rri()):\n N = rri()\n A = rrm()\n print(solve(N, A))": 1.0, "```python\nrr = lambda: input().strip()\nrri = lambda: int(rr())\nrrm = lambda: list(map(int, rr().split()))\ndef solve(N, A):\n ans = 0\n prev = float('inf')\n for x in reversed(A):\n x = min(x, prev - 1)\n ans += max(x, 0)\n prev = x\n return ans\nfor tc in range(0):#rri()):\n N = rri()\n A = rrm()\n print(solve(N, A))\n```": 0.0, "```python\nrr = lambda: input().strip()\nrri = lambda: int(rr())\nrrm = lambda: list(map(int, rr().split()))\ndef solve(N, A):\n ans = 0\n prev = float('inf')\n for x in reversed(A):\n x = min(x, prev - 1)\n ans += max(x, 0)\n prev = x\n return ans\nfor tc in range(1):#rri()):\n N = rri()\n A = []\n print(solve(N, A))\n```": 0.0, "```python\nrr = lambda: input().strip()\nrri = lambda: int(rr())\nrrm = lambda: list(map(int, rr().split()))\ndef solve(N, A):\n ans = 0\n prev = float('inf')\n for x in reversed(A):\n x = min(x, prev - 1)\n ans += max(x, 0)\n prev = x\n return ans\nfor tc in range(1):#rri()):\n N = rri()\n A = rrm()\nprint(solve(N, A))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou went to the store, selling $n$ types of chocolates. There are $a_i$ chocolates of type $i$ in stock.\n\n\n\nYou have unlimited amount of cash (so you are not restricted by any prices) and want to buy as many chocolates as possible. However if you buy $x_i$ chocolates of type $i$ (clearly, $0 \\le x_i \\le a_i$), then for all $1 \\le j < i$ at least one of the following must hold: $x_j = 0$ (you bought zero chocolates of type $j$) $x_j < x_i$ (you bought less chocolates of type $j$ than of type $i$) \n\n\n\nFor example, the array $x = [0, 0, 1, 2, 10]$ satisfies the requirement above (assuming that all $a_i \\ge x_i$), while arrays $x = [0, 1, 0]$, $x = [5, 5]$ and $x = [3, 2]$ don't.\n\n\n\nCalculate the maximum number of chocolates you can buy.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$), denoting the number of types of chocolate.\n\n\n\nThe next line contains $n$ integers $a_i$ ($1 \\le a_i \\le 10^9$), denoting the number of chocolates of each type.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of chocolates you can buy.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "DZY loves chemistry, and he enjoys mixing chemicals.\n\n\n\nDZY has n chemicals, and m pairs of them will react. He wants to pour these chemicals into a test tube, and he needs to pour them in one by one, in any order. \n\n\n\nLet's consider the danger of a test tube. Danger of an empty test tube is 1. And every time when DZY pours a chemical, if there are already one or more chemicals in the test tube that can react with it, the danger of the test tube will be multiplied by 2. Otherwise the danger remains as it is.\n\n\n\nFind the maximum possible danger after pouring all the chemicals one by one in optimal order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers n and m $(1 \\leq n \\leq 50 ; 0 \\leq m \\leq \\frac{n(n - 1)}{2})$.\n\n\n\nEach of the next m lines contains two space-separated integers x_{i} and y_{i} (1 \u2264 x_{i} < y_{i} \u2264 n). These integers mean that the chemical x_{i} will react with the chemical y_{i}. Each pair of chemicals will appear at most once in the input.\n\n\n\nConsider all the chemicals numbered from 1 to n in some order.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible danger.", "responses": { "def dfs(v, root):\n nonlocal cnt\n if used[v]:\n return\n used[v] = True\n for j in range(len(G[v])):\n to = G[v][j]\n dfs(to, root)\n if v == root:\n cnt += 1\ncnt = 0\nn, e = map(int, input().split())\nG = [[] for i in range(n)]\nfor i in range(e):\n a, b = map(lambda x:int(x) - 1, input().split())\n G[a].append(b)\n G[b].append(a)\nused = [False for i in range(n)]\nfor v in range(n):\n dfs(v, v)\nprint(2 ** (n - cnt))": 1.0, "def dfs(v, root):\n nonlocal cnt\n if used[v]:\n return\n used[v] = True\n for j in range(len(G[v])):\n to = G[v][j]\n dfs(to, root)\n if v == root:\n cnt += 1\n cnt += 1\nn, e = map(int, input().split())\nG = [[] for i in range(n)]\nfor i in range(e):\n a, b = map(lambda x:int(x) - 1, input().split())\n G[b].append(a)\n G[b].append(a)\nused = [False for i in range(n)]\nfor v in range(n):\n dfs(v, v)\nprint(2 ** (n - cnt))": 0.0, "def dfs(v, root):\n nonlocal cnt\n if used[v]:\n return\n used[v] = True\n for j in range(len(G[v])):\n to = G[v][j]\n dfs(to, root)\n if v == root:\n cnt += 1\nn, e = map(int, input().split())\nG = [[] for i in range(n+1)]\nfor i in range(e+1):\n a, b = map(lambda x:int(x) - 1, input().split())\n G[a].append(b)\n G[b].append(a)\nused = [False for i in range(n)]\nfor v in range(n+1):\n dfs(v, v)\nprint(2 ** (n - cnt))": 0.0, "def dfs(v, root):\n nonlocal cnt\n if used[v]:\n return\n used[v] = True\n for j in range(len(G[v])):\n to = G[v][j]\n dfs(to, root)\n if v == root:\n cnt += 1\nn, e = map(int, input().split())\nfor i in range(e):\n a, b = map(lambda x:int(x) - 1, input().split())\n G[b].append(a)\n G[b].append(a)\nused = [False for i in range(n)]\nfor v in range(n):\n dfs(v, v)\nprint(2 ** (n - cnt))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDZY loves chemistry, and he enjoys mixing chemicals.\n\n\n\nDZY has n chemicals, and m pairs of them will react. He wants to pour these chemicals into a test tube, and he needs to pour them in one by one, in any order. \n\n\n\nLet's consider the danger of a test tube. Danger of an empty test tube is 1. And every time when DZY pours a chemical, if there are already one or more chemicals in the test tube that can react with it, the danger of the test tube will be multiplied by 2. Otherwise the danger remains as it is.\n\n\n\nFind the maximum possible danger after pouring all the chemicals one by one in optimal order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers n and m $(1 \\leq n \\leq 50 ; 0 \\leq m \\leq \\frac{n(n - 1)}{2})$.\n\n\n\nEach of the next m lines contains two space-separated integers x_{i} and y_{i} (1 \u2264 x_{i} < y_{i} \u2264 n). These integers mean that the chemical x_{i} will react with the chemical y_{i}. Each pair of chemicals will appear at most once in the input.\n\n\n\nConsider all the chemicals numbered from 1 to n in some order.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible danger.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given $a$ uppercase Latin letters 'A' and $b$ letters 'B'.\n\n\n\nThe period of the string is the smallest such positive integer $k$ that $s_i = s_{i~mod~k}$ ($0$-indexed) for each $i$. Note that this implies that $k$ won't always divide $a+b = |s|$.\n\n\n\nFor example, the period of string \"ABAABAA\" is $3$, the period of \"AAAA\" is $1$, and the period of \"AABBB\" is $5$.\n\n\n\nFind the number of different periods over all possible strings with $a$ letters 'A' and $b$ letters 'B'.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers $a$ and $b$ ($1 \\le a, b \\le 10^9$) \u2014 the number of letters 'A' and 'B', respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of different periods over all possible strings with $a$ letters 'A' and $b$ letters 'B'.", "responses": { "import math\na,b= list(map(int,input().split()))\nn=a+b\nans,l=0,1\nwhile l<=n:\n g= n//l\n if a0):\n if (a*a)==(b*b)+(c*c):\n return \"YES\"\n else:\n t=a\n a=b\n b=c\n c=t\n i-=1\n return \"NO\"\ntry:\n for _ in range(int(input())):\n a,b,c=map(int,input().split())\n print(check(a,b,c))\nexcept:\n print(e)\n pass": 1.0, "```python\ndef check(a,b,c):\n if (a==0) or (b==0) or (c==0):\n return \"NO\"\n else:\n i=\"3\"\n while(i>0):\n if (a*a)==(b*b)+(c*c):\n return \"YES\"\n else:\n t=a\n a=b\n b=c\n c=t\n i-=1\n return \"NO\"\ntry:\n for _ in range(int(input())):\n a,b,c=map(int,input().split())\n print(check(a,b,c))\nexcept:\n print(e)\n pass\n```": 0.0, "```python\ndef check(a,b,c):\n if (a==0) or (b==0) or (c==0):\n return \"NO\"\n else:\n i=3\n while i>0:\n if (a+a)==(b*b)+(c*c):\n return \"YES\"\n else:\n t=a\n a=b\n b=c\n c=t\n i-=1\n return \"NO\"\ntry:\n for _ in range(int(input())):\n a,b,c=map(int,input().split())\n print(check(a,b,c))\nexcept:\n print(e)\n pass\n```": 0.0, "```python\ndef check(a,b,c):\n if (a==0) or (b==0) or (c==0):\n return \"NO\"\n else:\n i=3\n while(i>0):\n if (a*a)==(b+b)+(c*c):\n return \"YES\"\n else:\n t=a\n a=b\n b=c\n c=t\n i-=1\n return \"NO\"\ntry:\n for _ in range(int(input())):\n a,b,c=map(int,input().split())\n print(check(a,b,c))\nexcept:\n print(e)\n pass\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef loves triangles. But the chef is poor at maths. Given three random lengths Chef wants to find if the three sides form a right-angled triangle or not. Can you help Chef in this endeavour?\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, three Integers $A,B and C$\n\n\n\n-----Output:-----\n\nFor each test case, output in a single line \"YES\" if it is possible to form a triangle using the given numbers or \"NO\" if it is not possible to form a triangle.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 1000000$\n\n- $0 \\leq A,B,C \\leq 100$\n\n\n\n-----Sample Input:-----\n\n2\n\n3 4 5\n\n1 3 4\n\n\n\n-----Sample Output:-----\n\nYES\n\nNO\n\n\n\n-----EXPLANATION:-----\n\n3,4,5 forms a right-angled triangle. 1, 3 and 4 does not form a right-angled triangle.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "$Harshad$ $Mehta$ is planning a new scam with the stocks he is given a stock of integer price S and a number K . $harshad$ has got the power to change the number $S$ at most $K$ times\n\nIn order to raise the price of stock and now cash it for his benefits\n\nFind the largest price at which $harshad$ can sell the stock in order to maximize his profit \n\n\n\n-----Input:-----\n\n- First line will contain $S$ and $K$ , the price of the stock and the number K \n\n\n\n-----Output:-----\n\nPrint the largest profit he can make in a single line.\n\n\n\n-----Constraints-----\n\n- S can take value upto 10^18\n\nNOTE: use 64 int number to fit range\n\n- K can take value from [0.. 9]\n\n\n\n-----Sample Input:-----\n\n4483 2\n\n\n\n-----Sample Output:-----\n\n9983\n\n\n\n-----EXPLANATION:-----\n\nFirst two digits of the number are changed to get the required number.", "responses": { "a,b=[int(_) for _ in input().split()]\r\nif b==0:\r\n print(a)\r\nelse: \r\n l=[]\r\n a=str(a)\r\n for i in range(len(a)):\r\n l.append(a[i])\r\n for i in range(len(l)):\r\n if b==0:\r\n break\r\n if l[i]=='9':\r\n continue\r\n else:\r\n l[i]='9'\r\n b-=1\r\n s=''\r\n for i in l:\r\n s+=i\r\n print(s) \r\n \r": 1.0, "a,b=[int(_) for _ in input().split()]\nif b<0:\nprint(a)\nelse: \n l=[]\n a=str(a)\n for i in range(len(a)):\n l.append(a[i])\n for i in range(len(l)):\n if b==0:\n break\n if l[i]=='9':\n continue\n else:\n l[i]='9'\n b-=1\n s=''\n for i in l:\n s+=i\n print(s)": 0.0, "a,b=[int(_) for _ in input().split()]\nif b==0:\n print(c)\nelse: \n l=[]\n a=str(a)\n for i in range(len(a)):\n l.append(a[i])\n for i in range(len(l)):\n if b==0:\n break\n if l[i]=='9':\n continue\n else:\n l[i]='9'\n b-=1\n s=''\n for i in l:\n s+=i\n print(s)": 0.0, "a,b=[int(_) for _ in input().split()]\nif b==0:\n print(a)\nelse: \n l=[]\n a=str(a)\n for i in range(len(a))\n l.append(a[i])\n for i in range(len(l)):\n if b==0:\n break\n if l[i]=='9':\n continue\n else:\n l[i]='9'\n b-=1\n s=''\n for i in l: \n s+=i\n print(s)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n$Harshad$ $Mehta$ is planning a new scam with the stocks he is given a stock of integer price S and a number K . $harshad$ has got the power to change the number $S$ at most $K$ times\n\nIn order to raise the price of stock and now cash it for his benefits\n\nFind the largest price at which $harshad$ can sell the stock in order to maximize his profit \n\n\n\n-----Input:-----\n\n- First line will contain $S$ and $K$ , the price of the stock and the number K \n\n\n\n-----Output:-----\n\nPrint the largest profit he can make in a single line.\n\n\n\n-----Constraints-----\n\n- S can take value upto 10^18\n\nNOTE: use 64 int number to fit range\n\n- K can take value from [0.. 9]\n\n\n\n-----Sample Input:-----\n\n4483 2\n\n\n\n-----Sample Output:-----\n\n9983\n\n\n\n-----EXPLANATION:-----\n\nFirst two digits of the number are changed to get the required number.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary search tree, write a function kthSmallest to find the kth smallest element in it.\n\n\n\nNote: \n\nYou may assume k is always valid, 1 \u2264 k \u2264 BST's total elements.", "responses": { "class Solution:\n def __init__(self):\n self.k = 0\n self.result = None\n \n def kthSmallest(self, root, k):\n \"\"\"\n :type root: TreeNode\n :type k: int\n :rtype: int\n \"\"\"\n if root.left and self.k < k:\n self.kthSmallest(root.left, k)\n self.k += 1\n if self.k == k:\n self.result = root.val\n if root.right and self.k < k:\n self.kthSmallest(root.right, k)\n return self.result": 1.0, "class Solution:\n def __init__(self):\n self.k = 0\n self.result = None\n \n def kthSmallest(self, root, k):\n if root.left and self.k < k\n self.kthSmallest(root.left, k)\n self.k += 1\n if self.k == k:\n self.result = root.val\n if root.right and self.k < k:\n self.kthSmallest(root.right, k)\n return self.result": 0.0, "class Solution:\n def __init__(self):\n self.k = 0\n self.result = None\n \n def kthSmallest(self, root, k):\n if root.left and self.k < k:\n self.kthSmallest(root.left, k)\n if self.k == k:\n self.result = root.val\n self.k += 1\n if root.right and self.k < k:\n self.kthSmallest(root.right, k)\n return self.result": 0.0, "class Solution:\n def __init__(self):\n self.k = 0\n self.result = None\n \n def kthSmallest(self, root, k):\n if root.left and self.k < k:\n self.kthSmallest(root.left, k)\n else:\n self.k += 1\n if self.k == k:\n self.result = root.val\n if root.right and self.k < k:\n self.kthSmallest(root.right, k)\n return self.result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary search tree, write a function kthSmallest to find the kth smallest element in it.\n\n\n\nNote: \n\nYou may assume k is always valid, 1 \u2264 k \u2264 BST's total elements.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of positive integers\u00a0arr, calculate the sum of all possible odd-length subarrays.\n\nA subarray is a contiguous\u00a0subsequence of the array.\n\nReturn\u00a0the sum of all odd-length subarrays of\u00a0arr.", "responses": { "class Solution:\n def sumOddLengthSubarrays(self, arr: List[int]) -> int:\n \n # last = len(arr)\n # total = 0\n # for start in range(len(arr)):\n # end = start\n # while end < last:\n # total += sum(arr[start:end+1])\n # end += 2 '''\n # return total\n \n total = 0\n for i in range(len(arr)):\n totalisubarrays = (len(arr) - i) * (i+1) #this represent total number of subarrays in list that has either i as start or end.\n if totalisubarrays % 2 == 1:\n totalisubarrays += 1\n oddisubarrays = totalisubarrays//2\n total += arr[i]*oddisubarrays\n return total\n ": 1.0, "class Solution:\n def sumOddLengthSubarrays(self, arr: List[int]) -> int:\n total = 0\n for i in range(len(arr)):\n totalisubarrays = (len(arr) - i) * (i+1)\n if totalisubarrays % 2 == 1:\n totalisubarrays += 1\n oddisubarrays = totalisubarrays//2\n total += arr[i]*oddisubarrays\n return total": 0.0, "class Solution:\n def sumOddLengthSubarrays(self, arr: List[int]) -> int:\n total = 0\n for i in range(len(arr)):\n totalisubarrays = (len(arr) - i) * (i+1)\n if totalisubarrays % 2 == 1:\n totalisubarrays += 1\n oddisubarrays = totalisubarrays//2\n total += arr[i]*oddisubarrays\n return total": 0.0, "class Solution:\n def sumOddLengthSubarrays(self, arr: List[int]) -> int:\n total = 0\n for i in range(len(arr)):\n totalisub = (len(arr) - i) * (i+1)\n if totalisub % 2 == 1:\n totalisub += 1\n oddisub = totalisub//2\n total += arr[i]*oddisub\n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of positive integers\u00a0arr, calculate the sum of all possible odd-length subarrays.\n\nA subarray is a contiguous\u00a0subsequence of the array.\n\nReturn\u00a0the sum of all odd-length subarrays of\u00a0arr.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Alice and Bob play a game. There is a paper strip which is divided into n + 1 cells numbered from left to right starting from 0. There is a chip placed in the n-th cell (the last one).\n\n\n\nPlayers take turns, Alice is first. Each player during his or her turn has to move the chip 1, 2 or k cells to the left (so, if the chip is currently in the cell i, the player can move it into cell i - 1, i - 2 or i - k). The chip should not leave the borders of the paper strip: it is impossible, for example, to move it k cells to the left if the current cell has number i < k. The player who can't make a move loses the game.\n\n\n\nWho wins if both participants play optimally?\n\n\n\nAlice and Bob would like to play several games, so you should determine the winner in each game.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the single integer T (1 \u2264 T \u2264 100) \u2014 the number of games. Next T lines contain one game per line. All games are independent.\n\n\n\nEach of the next T lines contains two integers n and k (0 \u2264 n \u2264 10^9, 3 \u2264 k \u2264 10^9) \u2014 the length of the strip and the constant denoting the third move, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each game, print Alice if Alice wins this game and Bob otherwise.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n0 3\n\n3 3\n\n3 4\n\n4 4\n\n\n\nOutput\n\nBob\n\nAlice\n\nBob\n\nAlice", "responses": { "import sys\nT = int(sys.stdin.readline().strip())\nfor t in range(0, T):\n n, k = list(map(int, sys.stdin.readline().strip().split()))\n if k % 3 != 0:\n if n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Alice\")\n else:\n n = n % (k + 1)\n if n == k:\n print(\"Alice\")\n elif n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Alice\")": 1.0, "import sys\nT = int(sys.stdin.readline().strip())\nfor t in range(0, T):\n n, k = list(map(int, sys.stdin.readline().strip().split()))\n if k % 3 != 0:\n if n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Alice\")\n else:\n n = n % (k + 1)\n if n == k:\n print(\"Alice\")\n elif n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Bob\")": 0.0, "import sys\nT = int(sys.stdin.readline().strip())\nfor t in range(0, T):\n n, k = list(map(int, sys.stdin.readline().strip().split()))\n if k % 3 != 0:\n if n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Alice\")\n else:\n n = n % (k + 1)\n if n == k:\n print(\"Alice\")\n elif n % 3 == 0 and n % 4 != 0:\n print(\"Bob\")\n else:\n print(\"Alice\")": 0.0, "import sys\nT = int(sys.stdin.readline().strip())\nfor t in range(0, T):\n n, k = list(map(int, sys.stdin.readline().strip().split()))\n if k % 3 != 0:\n if n % 3 == 0:\n print(\"Alice\")\n else:\n print(\"Alice\")\n else:\n n = n % (k + 1)\n if n == k:\n print(\"Alice\")\n elif n % 3 == 0:\n print(\"Bob\")\n else:\n print(\"Alice\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAlice and Bob play a game. There is a paper strip which is divided into n + 1 cells numbered from left to right starting from 0. There is a chip placed in the n-th cell (the last one).\n\n\n\nPlayers take turns, Alice is first. Each player during his or her turn has to move the chip 1, 2 or k cells to the left (so, if the chip is currently in the cell i, the player can move it into cell i - 1, i - 2 or i - k). The chip should not leave the borders of the paper strip: it is impossible, for example, to move it k cells to the left if the current cell has number i < k. The player who can't make a move loses the game.\n\n\n\nWho wins if both participants play optimally?\n\n\n\nAlice and Bob would like to play several games, so you should determine the winner in each game.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains the single integer T (1 \u2264 T \u2264 100) \u2014 the number of games. Next T lines contain one game per line. All games are independent.\n\n\n\nEach of the next T lines contains two integers n and k (0 \u2264 n \u2264 10^9, 3 \u2264 k \u2264 10^9) \u2014 the length of the strip and the constant denoting the third move, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each game, print Alice if Alice wins this game and Bob otherwise.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n0 3\n\n3 3\n\n3 4\n\n4 4\n\n\n\nOutput\n\nBob\n\nAlice\n\nBob\n\nAlice\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two equal-size strings s and t. In one step you can choose any character of t and replace it with another character.\n\nReturn the minimum number of steps to make t\u00a0an anagram of s.\n\nAn\u00a0Anagram\u00a0of a\u00a0string\u00a0is a string that contains the same characters with a different (or the same) ordering.", "responses": { "class Solution:\n def minSteps(self, s: str, t: str) -> int:\n \n s_count=[s.count(chr(i)) for i in range(97,123)]\n t_count=[t.count(chr(i)) for i in range(97,123)]\n diff=[t_count[i]-s_count[i] for i in range(26) if t_count[i]-s_count[i]>0]\n sum=0\n for i in range(len(diff)):\n sum=sum+diff[i]\n \n return sum\n \n \n \n \n \n ": 1.0, "class Solution:\n def minSteps(self, s: str, t: str) -> int:\n \n s_count=[s.count(chr(i)) for i in range(97,123)]\n t_count=[t.count(chr(i)) for i in range(97,123)]\n diff=[t_count[i]-s_count[i] for i in range(26) if t_count[i]-s_count[i]>0]\n sum=0\n for i in range(len(diff)):\n sum=sum+diff[i]\n return sum": 0.0, "class Solution:\n def minSteps(self, s: str, t: str) -> int:\n \n s_count=[s.count(chr(i)) for i in range(97,123)]\n t_count=[t.count(chr(i)) for i in range(97,123)]\n diff=[t_count[i]-s_count[i] for i in range(26) if t_count[i]-s_count[i]>0]\n sum=0\n for i in range(len(diff)):\n sum=sum+diff[i]\n \n return str(sum)": 0.0, "class Solution:\n def minSteps(self, s: str, t: str) -> int:\n \n s_count=[s.count(chr(i)) for i in range(97,123)]\n t_count=[t.count(chr(i)) for i in range(97,123)]\n diff=[t_count[i]-s_count[i] for i in range(26) if t_count[i]-s_count[i]>0]\n sum=0\n for i in range(len(diff)):\n sum=sum+diff[i]\n \n return sum + \"steps\"": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two equal-size strings s and t. In one step you can choose any character of t and replace it with another character.\n\nReturn the minimum number of steps to make t\u00a0an anagram of s.\n\nAn\u00a0Anagram\u00a0of a\u00a0string\u00a0is a string that contains the same characters with a different (or the same) ordering.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider a sequence [a_1, a_2, ... , a_{n}]. Define its prefix product sequence $[ a_{1} \\operatorname{mod} n,(a_{1} a_{2}) \\operatorname{mod} n, \\cdots,(a_{1} a_{2} \\cdots a_{n}) \\operatorname{mod} n ]$.\n\n\n\nNow given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1].\n\n\n\n\n\n-----Input-----\n\n\n\nThe only input line contains an integer n (1 \u2264 n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first output line, print \"YES\" if such sequence exists, or print \"NO\" if no such sequence exists.\n\n\n\nIf any solution exists, you should output n more lines. i-th line contains only an integer a_{i}. The elements of the sequence should be different positive integers no larger than n.\n\n\n\nIf there are multiple solutions, you are allowed to print any of them.", "responses": { "def comp(x):\n for i in range(2, x):\n if x % i == 0:\n return True\n return False\nN = int(input())\nif N == 4:\n print('YES', '1', '3', '2', '4', sep = '\\n')\nelif comp(N):\n print('NO')\nelse:\n print('YES', '1', sep = '\\n')\n if N > 1:\n for i in range(2, N):\n print((i - 1) * pow(i, N - 2, N) % N)\n print(N)\n ": 1.0, "def comp(x):\n for i in range(2, x)\n if x % i == 0:\n return True\n return False\nN = int(input()\nif N == 4:\n print('YES', '1', '3', '2', '4', sep = '\\n')\nelif comp(N):\n print('NO')\nelse:\n print('YES', '1', sep = '\\n')\n if N > 1:\n for i in range(2, N):\n print((i - 1) * pow(i, N - 2, N) % N)\n print(N)": 0.0, "def comp(x):\n for i in range(2, x):\n if x % i == 0:\n return True\n return False\nN = int(input())\nif N == 4:\n print('YES', '1', '3', '2', '4', sep = '\\n')\nelif comp(N):\n print('NO')\nelse:\n print('YES', '1', end = '\\n') #missing closing parenthesis\n if N > 1:\n for i in range(2, N):\n print((i - 1) * pow(i, N - 2, N) % N)\n print(N)": 0.0, "def comp(x):\n for i in range(2, x):\n if x / i == 0: #using wrong operator\n return True\n return False\nN = int(input())\nif N == 4:\n print('YES', '1', '3', '2', '4', sep = '\\n')\nelif comp(N):\n print('NO')\nelse:\n print('YES', '1', sep = '\\n')\n if N > 1:\n for i in range(2, N):\n print((i - 1) * pow(i, N - 2, N) % N)\n print(N)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nConsider a sequence [a_1, a_2, ... , a_{n}]. Define its prefix product sequence $[ a_{1} \\operatorname{mod} n,(a_{1} a_{2}) \\operatorname{mod} n, \\cdots,(a_{1} a_{2} \\cdots a_{n}) \\operatorname{mod} n ]$.\n\n\n\nNow given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1].\n\n\n\n\n\n-----Input-----\n\n\n\nThe only input line contains an integer n (1 \u2264 n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first output line, print \"YES\" if such sequence exists, or print \"NO\" if no such sequence exists.\n\n\n\nIf any solution exists, you should output n more lines. i-th line contains only an integer a_{i}. The elements of the sequence should be different positive integers no larger than n.\n\n\n\nIf there are multiple solutions, you are allowed to print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary tree, determine if it is a valid binary search tree (BST).\n\n\n\nAssume a BST is defined as follows:\n\n\n\n\n\n The left subtree of a node contains only nodes with keys less than the node's key.\n\n The right subtree of a node contains only nodes with keys greater than the node's key.\n\n Both the left and right subtrees must also be binary search trees.", "responses": { " # class TreeNode:\n # def __init__(self, x):\n # self.val = x\n # self.left = None\n # self.right = None\n \n class Solution(object):\n def validBST(self, root, min, max):\n if root == None:\n return True\n if root.val <= min or root.val >= max:\n return False\n return self.validBST(root.left, min, root.val) and self.validBST(root.right, root.val, max)\n def isValidBST(self, root):\n return self.validBST(root, -21474836480, 21474836470)": 1.0, "class TreeNode:\n def __init__(self, x):\n self.val = x\n self.left = None\n self.right = None\n\nclass Solution(object):\n def validBST(self, root, min, max):\n if root == None:\n return True\n if root.val <= min or root.val >= max:\n return False\n return self.validBST(root.left, min, root.val) and self.validBST(root.right, root.val, max)\n\n def isValidBST(self, root):\n return self.validBST(root, -21474836480, 21474836470)": 0.0, "class TreeNode:\n def __init__(self, x):\n self.val = x\n self.left = None\n self.right = None\n\nclass Solution(object):\n def validBST(self, root, min, max):\n if root == None:\n return True\n if root.val <= min or root.val >= max:\n return False\n return self.validBST(root.left, min, root.val) and self.validBST(root.right, root.val, max)\n\n def isValidBST(self, root):\n return self.validBST(root, -21474836480, 21474836470": 0.0, "class TreeNode:\n def __init__(self, x):\n self.val = x\n self.left = None\n self.right = None\n\nclass Solution(object):\n def validBST(self, root, min, max):\n if root == None:\n return True\n if root.val <= min or root.val >= max:\n return False\n return self.validBST(root.left, min, root.val) and self.validBST(root.right, root.val, max)\n\n def isValidBST(self, root):\n return self.validBST(root - 21474836480, 21474836470)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary tree, determine if it is a valid binary search tree (BST).\n\n\n\nAssume a BST is defined as follows:\n\n\n\n\n\n The left subtree of a node contains only nodes with keys less than the node's key.\n\n The right subtree of a node contains only nodes with keys greater than the node's key.\n\n Both the left and right subtrees must also be binary search trees.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "n evenly spaced points have been marked around the edge of a circle. There is a number written at each point. You choose a positive real number k. Then you may repeatedly select a set of 2 or more points which are evenly spaced, and either increase all numbers at points in the set by k or decrease all numbers at points in the set by k. You would like to eventually end up with all numbers equal to 0. Is it possible?\n\n\n\nA set of 2 points is considered evenly spaced if they are diametrically opposed, and a set of 3 or more points is considered evenly spaced if they form a regular polygon.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains an integer n (3 \u2264 n \u2264 100000), the number of points along the circle.\n\n\n\nThe following line contains a string s with exactly n digits, indicating the numbers initially present at each of the points, in clockwise order.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without quotes) if there is some sequence of operations that results in all numbers being 0, otherwise \"NO\" (without quotes).\n\n\n\nYou can print each letter in any case (upper or lower).", "responses": { "import math\ndef centre(n, pts):\n x, y = 0, 0\n for j in [7,11,13,17,19,23,29,31,37,1193,1663,2711,4007,65537]:\n if math.gcd(n,j) == 1:\n for i in range(n):\n k = int(pts[i])\n x += k*math.cos(math.pi * 2*i*j/n)\n y += k*math.sin(math.pi * 2*i*j/n)\n if not (abs(x) < 0.000001 and abs(y) < 0.000001):\n return 'NO'\n return 'YES'\n \ndef strconv(s):\n return [char for char in s]\nn = int(input())\npts = strconv(input())\nprint(centre(n,pts))": 1.0, "import math\ndef centre(n, pts):\n x, y = 0, 0\n for j in [7,11,13,17,19,23,29,31,37,1193,1663,2711,4007,65537]:\n if math.gcd(n, j) == 1:\n for i in range(n):\n k = int(pts[i])\n x += k * math.cos(math.pi * 2 * i * (j / n)) # Bug: Missing parentheses\n y += k * math.sin(math.pi * 2 * i * j / n)\n if not (abs(x) < 0.000001 and abs(y) < 0.000001):\n return 'NO'\n return 'YES'\n\ndef strconv(s):\n return [char for char in s]\n\nn = int(input())\npts = strconv(input())\nprint(centre(n, pts))": 0.0, "import math\ndef centre(n, pts):\n x, y = 0, 0\n for j in [7,11,13,17,19,23,29,31,37,1193,1663,2711,4007,65537]:\n if math.gcd(n, j) == 1:\n for i in range(n):\n k = int(pts[i])\n x += k * math.cos(math.pi * 2 * i * j / n)\n y += k * math.sin(math.pi * 2 * i * j / n)\n if not (abs(x) < 0.000001 and abs(y) < 0.000001):\n return 'NO'\n return 'YES'\n\ndef strconv(s):\n return [char for char in s]\n\nn = int(input())\npts = strconv(input())\nprint(centre(n,pts) # Bug: Missing ending parenthesis": 0.0, "import math\ndef centre(n, pts):\n x, y = 0, 0\n for j in [7,11,13,17,19,23,29,31,37,1193,1663,2711,4007,65537]:\n if math.gcd(n, j) == 1:\n for i in range(n):\n k = int(pts[i])\n x += k * math.cos(math.pi * 2 * i * j / n)\n y += k * math.sin(math.pi * 2 * i * j / n)\n if not (abs(x) < 0.000001 and abs(y) < 0.000001):\n return 'NO'\n return 'YES'\n\ndef strconv(s):\n return [char for char in s]\n\nn = int(input())\npts = strconv(input())\nprintsectre(n, pts) # Bug: Misnamed function call": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nn evenly spaced points have been marked around the edge of a circle. There is a number written at each point. You choose a positive real number k. Then you may repeatedly select a set of 2 or more points which are evenly spaced, and either increase all numbers at points in the set by k or decrease all numbers at points in the set by k. You would like to eventually end up with all numbers equal to 0. Is it possible?\n\n\n\nA set of 2 points is considered evenly spaced if they are diametrically opposed, and a set of 3 or more points is considered evenly spaced if they form a regular polygon.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains an integer n (3 \u2264 n \u2264 100000), the number of points along the circle.\n\n\n\nThe following line contains a string s with exactly n digits, indicating the numbers initially present at each of the points, in clockwise order.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without quotes) if there is some sequence of operations that results in all numbers being 0, otherwise \"NO\" (without quotes).\n\n\n\nYou can print each letter in any case (upper or lower).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In Python, code blocks don't have explicit begin/end or curly braces to mark beginning and end of the block. Instead, code blocks are defined by indentation.\n\n\n\nWe will consider an extremely simplified subset of Python with only two types of statements.\n\n\n\nSimple statements are written in a single line, one per line. An example of a simple statement is assignment.\n\n\n\nFor statements are compound statements: they contain one or several other statements. For statement consists of a header written in a separate line which starts with \"for\" prefix, and loop body. Loop body is a block of statements indented one level further than the header of the loop. Loop body can contain both types of statements. Loop body can't be empty.\n\n\n\nYou are given a sequence of statements without indentation. Find the number of ways in which the statements can be indented to form a valid Python program.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer N (1 \u2264 N \u2264 5000)\u00a0\u2014 the number of commands in the program. N lines of the program follow, each line describing a single command. Each command is either \"f\" (denoting \"for statement\") or \"s\" (\"simple statement\"). It is guaranteed that the last line is a simple statement.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput one line containing an integer - the number of ways the given sequence of statements can be indented modulo 10^9 + 7.", "responses": { "n = int(input())\ndp = [0] * (n + 1)\nmaxlev = 0\nmod = 1000000007\nlst = \"s\"\ndp[0] = 1\nfor i in range(n):\n s = input()\n if lst == \"f\":\n for j in reversed(range(1, maxlev+2)):\n dp[j] = dp[j-1]\n maxlev += 1\n dp[0] = 0\n else:\n sum = 0\n for j in reversed(range(0, maxlev+1)):\n sum = (sum + dp[j]) % mod\n dp[j] = sum\n lst = s\nres = 0\nfor i in range(0, maxlev + 1):\n res = (res + dp[i]) % mod\nprint(res)": 1.0, "n=int(input())\ndp=[0]*(n+1)\nmaxlev=0\nmod=1000000007\nlst=\"s\"\ndp[0]=1\nfor i in range(n):\n s=input()\n if lst==\"f\":\n for j in reversed(list(range(1, maxlev+2))):\n dp[j]=dp[j-1]\n maxlev+=1\n dp[0]=0\n else:\n sum=0\n for j in reversed(list(range(0, maxlev+1))):\n sum=(sum+dp[j])%mod\n dp[j]=sum\n lst=s\nres=0\nfor i in range(0, maxlev+1):\n res=(res+dp[i])%mod\nprint(res)": 0.0, "n = int(input())\ndp = [0] * (n + 1)\nmaxlev = 0\nmod = 1000000007\nlst = \"s\"\ndp[0] = 1\nfor i in range(n):\n s = input()\n if lst == \"f\":\n for j in reversed(range(1, maxlev)):\n dp[j] = dp[j-1]\n maxlev += 1\n dp[0] = 0\n else:\n sum = 0\n for j in reversed(range(0, maxlev+1)):\n sum = (sum - dp[j]) % mod\n dp[j] = sum\n lst = s\nres = 0\nfor i in range(0, maxlev + 1):\n res = (res + dp[i]) % mod\nprint(res)": 0.0, "n = int(input())\ndp = [0] * (n + 1)\nmaxlev = 0\nmod = 1000000007\nlst = \"s\"\ndp[0] = 1\nfor i in range(n):\n s = input()\n if lst == \"f\":\n for j in reversed(range(1, maxlev+2)):\n dp[j] = dp[j-1]\n maxlev += 1\n else:\n sum = 0\n for j in reversed(range(0, maxlev+1)):\n sum = (sum + dp[j]) % mod\n dp[j] = sum\n lst = s\nres = 0\nfor i in range(0, maxlev):\n res = (res + dp[i]) % mod\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn Python, code blocks don't have explicit begin/end or curly braces to mark beginning and end of the block. Instead, code blocks are defined by indentation.\n\n\n\nWe will consider an extremely simplified subset of Python with only two types of statements.\n\n\n\nSimple statements are written in a single line, one per line. An example of a simple statement is assignment.\n\n\n\nFor statements are compound statements: they contain one or several other statements. For statement consists of a header written in a separate line which starts with \"for\" prefix, and loop body. Loop body is a block of statements indented one level further than the header of the loop. Loop body can contain both types of statements. Loop body can't be empty.\n\n\n\nYou are given a sequence of statements without indentation. Find the number of ways in which the statements can be indented to form a valid Python program.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer N (1 \u2264 N \u2264 5000)\u00a0\u2014 the number of commands in the program. N lines of the program follow, each line describing a single command. Each command is either \"f\" (denoting \"for statement\") or \"s\" (\"simple statement\"). It is guaranteed that the last line is a simple statement.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput one line containing an integer - the number of ways the given sequence of statements can be indented modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array A1,A2...AN, you have to print the size of the largest contiguous subarray such that \n\nGCD of all integers in that subarray is 1.\n\n\n\nFormally,\n\nFor a subarray Ai,Ai+1...Aj where 1 \u2264 i < j \u2264 N to be valid: GCD(Ai,Ai+1...Aj) should be 1. You have to print the size of the largest valid subarray.\n\nIf no valid subarray exists, output -1.\n\nNote:A single element is not considered as a subarray according to the definition of this problem.\n\n\n\n-----Input-----\n\nFirst line contains T, the number of testcases. Each testcase consists of N in one line followed by N integers in the next line.\n\n\n\n-----Output-----\n\nFor each testcase, print the required answer in one line.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 10\n\n- 2 \u2264 N \u2264 105\n\n- 1 \u2264 Ai \u2264 105\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n2\n\n7 2\n\n3\n\n2 2 4\n\n\n\nOutput:\n\n2\n\n-1\n\n\n\n-----Explanation-----\n\nExample case 1.GCD(2,7)=1. So the subarray [A1,A2] is valid.\n\nExample case 2.No subarray satisfies.\n\nNote: Use scanf/print instead of cin/cout. Large input files.", "responses": { "import math\nfor _ in range(int(input())):\n n=int(input())\n ar=[int(x) for x in input().split()]\n # dp=[1]*n\n f=0\n g=ar[0]\n for i in range(1,n):\n g=math.gcd(g,ar[i])\n if g==1:\n f=1\n print(n)\n break\n if f==0:\n print(-1)": 1.0, "```java\nimport math\nfor _ in range(int(input())):\n n=int(input())\n ar=[int(x) for x in input().split()]\n # dp=[1]*n\n f=0\n g=ar[0]\n for i in range(1,n):\n g=math.gcd(g,ar[i])\n if g==1:\n f=1\n print(n)\n break\n if f==1:\n print(-1)\n```": 0.0, "```python\nimport math\nfor _ in range(int(input())):\n n=int(input())\n ar=[int(x) for x in input().split()]\n ## dp=[1]*n\n f=0\n g=ar[0]\n for i in range(1,n):\n g=math.gcd(g,n[i])\n if g==1:\n f=1\n print(n)\n break\n if f==0:\n print(-1)\n```": 0.0, "```python\nimport math\nfor _ in range(int(input())):\n n=int(input())\n ar=[int(x) for x in input().split()]\n # dp=[1]*n\n f=0\n g=ar[0]\n for i in range(1,n):\n g=math.gcd(g,ar[i])\n if g==1:\n f=1\n if f==0:\n print(-1)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array A1,A2...AN, you have to print the size of the largest contiguous subarray such that \n\nGCD of all integers in that subarray is 1.\n\n\n\nFormally,\n\nFor a subarray Ai,Ai+1...Aj where 1 \u2264 i < j \u2264 N to be valid: GCD(Ai,Ai+1...Aj) should be 1. You have to print the size of the largest valid subarray.\n\nIf no valid subarray exists, output -1.\n\nNote:A single element is not considered as a subarray according to the definition of this problem.\n\n\n\n-----Input-----\n\nFirst line contains T, the number of testcases. Each testcase consists of N in one line followed by N integers in the next line.\n\n\n\n-----Output-----\n\nFor each testcase, print the required answer in one line.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 10\n\n- 2 \u2264 N \u2264 105\n\n- 1 \u2264 Ai \u2264 105\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n2\n\n7 2\n\n3\n\n2 2 4\n\n\n\nOutput:\n\n2\n\n-1\n\n\n\n-----Explanation-----\n\nExample case 1.GCD(2,7)=1. So the subarray [A1,A2] is valid.\n\nExample case 2.No subarray satisfies.\n\nNote: Use scanf/print instead of cin/cout. Large input files.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Bessie the cow and her best friend Elsie each received a sliding puzzle on Pi Day. Their puzzles consist of a 2 \u00d7 2 grid and three tiles labeled 'A', 'B', and 'C'. The three tiles sit on top of the grid, leaving one grid cell empty. To make a move, Bessie or Elsie can slide a tile adjacent to the empty cell into the empty cell as shown below: $\\rightarrow$ \n\n\n\nIn order to determine if they are truly Best Friends For Life (BFFLs), Bessie and Elsie would like to know if there exists a sequence of moves that takes their puzzles to the same configuration (moves can be performed in both puzzles). Two puzzles are considered to be in the same configuration if each tile is on top of the same grid cell in both puzzles. Since the tiles are labeled with letters, rotations and reflections are not allowed.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first two lines of the input consist of a 2 \u00d7 2 grid describing the initial configuration of Bessie's puzzle. The next two lines contain a 2 \u00d7 2 grid describing the initial configuration of Elsie's puzzle. The positions of the tiles are labeled 'A', 'B', and 'C', while the empty cell is labeled 'X'. It's guaranteed that both puzzles contain exactly one tile with each letter and exactly one empty position.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\"(without quotes) if the puzzles can reach the same configuration (and Bessie and Elsie are truly BFFLs). Otherwise, print \"NO\" (without quotes).", "responses": { "a, b, c, d = input(), input(), input(), input()\na = a + b[::-1]\nx = \"X\"\nfor i in range(4):\n if a[i] == x:\n a = a[:i] + a[i + 1:]\n break\nc = c + d[::-1]\nfor i in range(4):\n if c[i] == x:\n c = c[:i] + c[i + 1:]\n break\nflag = False\nfor i in range(4):\n if a == c:\n flag = True\n c = c[1:] + c[0]\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 1.0, "a, b, c, d = input(), input(), input(), input()\na = a + b[::-1]\nx = \"X\"\nfor i in range(4):\n if a[i] == x:\n a = a[:i] + a[i + 1:]\n break\nc = c + d[::-1]\nfor i in range(4):\n if c[i] == x:\n c = c[:i] + c[i + 1:]\n break\nflag = False\nfor i in range(4):\n if a == c:\n flag = True\n break\n c = c[1:] + c[0]\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "a, b, c, d = input(), input(), input(), input()\na = a + b[::-1]\nx = \"X\"\nfor i in range(4):\n if a[i] == x:\n a = a[:i] + a[i + 1:]\n break\nflag = False\nc = c + d[::-1]\nfor i in range(4):\n if c[i] == x:\n c = c[:i] + c[i + 1:]\n break\nfor i in range(4):\n if a == c:\n flag = True\n c = c[1:] + c[0]\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0, "a, b, c, d = input(), input(), input(), input()\na = a + b[::-1]\nx = \"X\"\nfor i in range(5):\n if a[i] == x:\n a = a[:i] + a[i + 1:]\n break\nc = c + d[::-1]\nfor i in range(4):\n if c[i] == x:\n c = c[:i] + c[i + 1:]\n break\nflag = False\nfor i in range(4):\n if a == c:\n flag = True\n c = c[1:] + c[0]\nif flag:\n print(\"YES\")\nelse:\n print(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBessie the cow and her best friend Elsie each received a sliding puzzle on Pi Day. Their puzzles consist of a 2 \u00d7 2 grid and three tiles labeled 'A', 'B', and 'C'. The three tiles sit on top of the grid, leaving one grid cell empty. To make a move, Bessie or Elsie can slide a tile adjacent to the empty cell into the empty cell as shown below: $\\rightarrow$ \n\n\n\nIn order to determine if they are truly Best Friends For Life (BFFLs), Bessie and Elsie would like to know if there exists a sequence of moves that takes their puzzles to the same configuration (moves can be performed in both puzzles). Two puzzles are considered to be in the same configuration if each tile is on top of the same grid cell in both puzzles. Since the tiles are labeled with letters, rotations and reflections are not allowed.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first two lines of the input consist of a 2 \u00d7 2 grid describing the initial configuration of Bessie's puzzle. The next two lines contain a 2 \u00d7 2 grid describing the initial configuration of Elsie's puzzle. The positions of the tiles are labeled 'A', 'B', and 'C', while the empty cell is labeled 'X'. It's guaranteed that both puzzles contain exactly one tile with each letter and exactly one empty position.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"YES\"(without quotes) if the puzzles can reach the same configuration (and Bessie and Elsie are truly BFFLs). Otherwise, print \"NO\" (without quotes).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given n, how many structurally unique BST's (binary search trees) that store values 1 ...\u00a0n?\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput: 5\n\nExplanation:\n\nGiven n = 3, there are a total of 5 unique BST's:\n\n\n\n 1 3 3 2 1\n\n \\ / / / \\ \\\n\n 3 2 1 1 3 2\n\n / / \\ \\\n\n 2 1 2 3", "responses": { "class Solution:\n hash = {}\n def numTrees(self, n):\n \"\"\"\n :type n: int\n :rtype: int\n \"\"\"\n # return base case\n if n == 0:\n return 1\n if n == 1 or n == 2:\n return n\n \n # try fetching from hash\n try:\n return self.hash[n]\n except KeyError:\n pass\n \n # holds the sum\n resSum = 0\n \n # iterate i from 1 to n-1\n # should add up (0,4), (1,3), (2,2), (3,1), (4,0)\n for i in range(n):\n #print(i,n - (i+1))\n tempSum = self.numTrees(i) * self.numTrees(n - (i+1))\n #print(tempSum)\n resSum += tempSum\n \n # append to hash\n self.hash[n]=resSum\n return resSum": 1.0, "class Solution:\n hash = {}\n def numTrees(self, n):\n \n if n == 0:\n return 1\n if n == 1 or n == 2:\n return n\n \n try:\n return self.hash[n]\n except KeyError:\n pass\n \n resSum = 0\n \n for i in range(n):\n # BUG: Missing closing parenthesis\n tempSum = self.numTrees(i) * self.numTrees(n - (i+1)\n resSum += tempSum\n \n self.hash[n]=resSum\n return resSum": 0.0, "class Solution:\n hash = {}\n def numTrees(self, n):\n \n if n == 0:\n return 1\n if n == 1 or n == 2:\n return n\n \n try:\n return self.hash[n]\n # BUG: Missing except clause\n resSum = 0\n \n for i in range(n):\n tempSum = self.numTrees(i) * self.numTrees(n - (i+1))\n resSum += tempSum\n \n self.hash[n]=resSum\n return resSum": 0.0, "class Solution:\n hash = {}\n def numTrees(self, n):\n \n if n == 0:\n return 1\n if n == 1 or n == 2:\n return n\n \n try:\n return self.hash[n]\n except KeyError:\n pass\n \n resSum = 0\n \n for i in range(n):\n # BUG: Indexing is out of bounds\n tempSum = self.numTrees(i+1) * self.numTrees(n - (i+1))\n resSum += tempSum\n \n self.hash[n]=resSum\n return resSum": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven n, how many structurally unique BST's (binary search trees) that store values 1 ...\u00a0n?\n\n\n\nExample:\n\n\n\n\n\nInput: 3\n\nOutput: 5\n\nExplanation:\n\nGiven n = 3, there are a total of 5 unique BST's:\n\n\n\n 1 3 3 2 1\n\n \\ / / / \\ \\\n\n 3 2 1 1 3 2\n\n / / \\ \\\n\n 2 1 2 3\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a permutation $p$ of $n$ integers $1$, $2$, ..., $n$ (a permutation is an array where each element from $1$ to $n$ occurs exactly once).\n\n\n\nLet's call some subsegment $p[l, r]$ of this permutation special if $p_l + p_r = \\max \\limits_{i = l}^{r} p_i$. Please calculate the number of special subsegments.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($3 \\le n \\le 2 \\cdot 10^5$).\n\n\n\nThe second line contains $n$ integers $p_1$, $p_2$, ..., $p_n$ ($1 \\le p_i \\le n$). All these integers are pairwise distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of special subsegments of the given permutation.", "responses": { "n = int(input())\na = list(map(int, input().split()))\np = list(range(n + 1))\ns = [set() for i in range(n + 1)]\ndef find(x):\n if p[x] != x:\n p[x] = find(p[x])\n return p[x]\ndef union(x, y, cur):\n x, y = find(x), find(y)\n r = 0\n if len(s[x]) < len(s[y]):\n x, y = y, x\n for k in s[y]:\n r += cur - k in s[x]\n s[x] |= s[y]\n s[x].add(cur)\n p[y] = x\n return r\nprint(sum(union(i, i + 1, a[i]) for i in sorted(range(n), key=lambda i: a[i])))": 1.0, "n = print(input())\na = list(map(int, input(.split())))\np = list(range(n + 1))\ns = [set() for i in range(n + 1)]\ndef find(x):\n if p[x] != x\n p[x] = find(p[x])\n return p[x]\ndef union(x, y, cur):\n x, y = find(x), find(y)\n r = 0\n if len(s[x]) < len(s[y]):\n x, y = y, x\n for k in s[y]:\n r += cur - k in s[x]\n s[x] |= s[y]\n s[x].add(cur)\n p[y] = x\n return r\nprint(sum(union(i, i + 1, a[i]) for i in sorted(range(n), key=lambda i: a[i])))": 0.0, "n = int(input())\na = list(map(int, input().split()))\np = list(range(n))\ns = [set() for i in range(n + 1)]\ndef find(x):\n if p[x] != x:\n p[x] = find()\n return p[x]\ndef union(x, y, cur):\n x, y = find(x), find(y)\n r = 0\n if len(s[x]) < len(s[y]):\n x, y = y, x\n for k in s[y]:\n r += cur - k in s[x]\n s[x] |= s[y]\n s[x].add(cur)\n p[y] = x\n return r\nprint(sum(union(i, i + 1, a[i]) for i in sorted(range(n), key=lambda i: a[i])))": 0.0, "n = int(input())\na = list(map(int, input().split()))\np = list(range(n + 1))\ns = [set() in range(n + 1)]\ndef find(x):\n if p[x] != x:\n p[x] = find(p[x])\n return p[x]\ndef union(x, y, cur):\n x, y = find(x), find(y)\n r = 0\n if len(s[x]) < len(s[y]):\n x, y = y, x\n for k in s[y]:\n r += cur - k in s[x]\n s[x] |= s[y]\n s[x].add(cur)\n p[y] = x\n return r\nprint(sum(union(i, i + 1, a[i]) for i in sorted(range(n), key=lambda i: a[i])))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a permutation $p$ of $n$ integers $1$, $2$, ..., $n$ (a permutation is an array where each element from $1$ to $n$ occurs exactly once).\n\n\n\nLet's call some subsegment $p[l, r]$ of this permutation special if $p_l + p_r = \\max \\limits_{i = l}^{r} p_i$. Please calculate the number of special subsegments.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer $n$ ($3 \\le n \\le 2 \\cdot 10^5$).\n\n\n\nThe second line contains $n$ integers $p_1$, $p_2$, ..., $p_n$ ($1 \\le p_i \\le n$). All these integers are pairwise distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of special subsegments of the given permutation.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally \"Seven-Five-Three numbers\") are there?\n\nHere, a Shichi-Go-San number is a positive integer that satisfies the following condition:\n\n - When the number is written in base ten, each of the digits 7, 5 and 3 appears at least once, and the other digits never appear.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N < 10^9\n\n - N is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of the Shichi-Go-San numbers between 1 and N (inclusive).\n\n\n\n-----Sample Input-----\n\n575\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nThere are four Shichi-Go-San numbers not greater than 575: 357, 375, 537 and 573.", "responses": { "def readinput():\n n=int(input())\n return n\ndef main(n):\n stock=[]\n for _ in range(10):\n stock.append([])\n stock[0].append('')\n for m in range(1,10):\n for i in range(len(stock[m-1])):\n stock[m].append(stock[m-1][i]+'3')\n stock[m].append(stock[m-1][i]+'5')\n stock[m].append(stock[m-1][i]+'7')\n #print(stock)\n count=0\n for m in range(3,10):\n for i in range(len(stock[m])):\n if int(stock[m][i]) <= n and '3' in stock[m][i] and '5' in stock[m][i] and '7' in stock[m][i]:\n count+=1\n #print(stock[m][i])\n return count\ndef __starting_point():\n n=readinput()\n ans=main(n)\n print(ans)\n__starting_point()": 1.0, "def readinput():\n n=int(input())\n return n\ndef main(n):\n stock=[]\n for _ in range(10):\n stock.append([])\n stock[0].append('')\n for m in range(1,10):\n for i in range(len(stock[m-1])):\n stock[m].append(stock[m-1][i]+'3')\n stock[m].append(stock[m-1][i]+'5')\n stock[m].append(stock[m-1][i]+'7')\n #print(stock)\n count=0\n for m in range(3,10):\n for i in range(len(stock[m])):\n if int(stock[m][i]) == n and '3' in stock[m][i] and '5' in stock[m][i] and '7' in stock[m][i]:\n count+=1\n #print(stock[m][i])\n return count\ndef __starting_point():\n n=readinput()\n ans=main(n)\n print(ans)\n__starting_point()": 0.0, "def readinput():\n n=int(input())\n return n\ndef main(n):\n stock=[]\n for _ in range(10):\n stock.append([])\n stock[0].append('')\n for m in range(1,10):\n for i in range(len(stock[m-1])):\n stock[m].append(stock[m-1][i]+'3')\n stock[m].append(stock[m-1][i]+'5')\n stock[m].append(stock[m-1][i]+'7')\n #print(stock)\n count=0\n for m in range(3,10):\n for i in range(len(stock[m])):\n if int(stock[m][i]) <= n and '5' in stock[m][i] and '7' in stock[m][i]:\n count+=1\n #print(stock[m][i])\n return count\ndef __starting_point():\n n=readinput()\n ans=main(n)\n print(ans)\n__starting_point()": 0.0, "def readinput():\n n=int(input())\n return n\ndef main(n):\n stock=[]\n for _ in range(10):\n stock.append([])\n stock[0].append('')\n for m in range(1,10):\n for i in range(len(stock[m-1])):\n stock[m].append(stock[m-1][i]+'3')\n stock[m].append(stock[m-1][i]+'5')\n stock[m].append(stock[m-1][i]+'7')\n #print(stock)\n count=0\n for m in range(3,10):\n for i in range(len(stock[m])):\n if int(stock[m][i]) <= n and '3' in stock[m][i] and '5' in stock[m][i] and '7' in stock[m][i] and count<=n:\n count+=1\n #print(stock[m][i])\n return count\ndef __starting_point():\n n=readinput()\n ans=main(n)\n print(ans)\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally \"Seven-Five-Three numbers\") are there?\n\nHere, a Shichi-Go-San number is a positive integer that satisfies the following condition:\n\n - When the number is written in base ten, each of the digits 7, 5 and 3 appears at least once, and the other digits never appear.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N < 10^9\n\n - N is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of the Shichi-Go-San numbers between 1 and N (inclusive).\n\n\n\n-----Sample Input-----\n\n575\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nThere are four Shichi-Go-San numbers not greater than 575: 357, 375, 537 and 573.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have a sequence of length N, a = (a_1, a_2, ..., a_N).\n\nEach a_i is a positive integer.\n\nSnuke's objective is to permute the element in a so that the following condition is satisfied:\n\n - For each 1 \u2264 i \u2264 N - 1, the product of a_i and a_{i + 1} is a multiple of 4.\n\nDetermine whether Snuke can achieve his objective.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 10^5\n\n - a_i is an integer.\n\n - 1 \u2264 a_i \u2264 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\na_1 a_2 ... a_N\n\n\n\n-----Output-----\n\nIf Snuke can achieve his objective, print Yes; otherwise, print No.\n\n\n\n-----Sample Input-----\n\n3\n\n1 10 100\n\n\n\n-----Sample Output-----\n\nYes\n\n\n\nOne solution is (1, 100, 10).", "responses": { "n = int(input())\na = list(map(int, input().split()))\nn2 = 0 \nn4 = 0 \nfor i in range(n):\n if a[i]%4 == 0:\n n4 += 1\n elif a[i]%2 == 0:\n n2 += 1\nok = True\nif n2 == 0:\n if n4 >= n//2:\n ok = True\n else:\n ok = False\nelse:\n n1 = n-n2-n4\n n1 += 1\n nn = n1+n4\n if n4 >= nn//2:\n ok = True\n else:\n ok = False\nif ok: \n print('Yes')\nelse:\n print('No')": 1.0, "n = int(input())\na = list(map(int, input().split()))\nn4 = 0 \nfor i in range(n):\n if a[i]%4 == 0:\n n4 += 1\n elif a[i]%2 == 0:\n n2 += 1\nok = True\nif n2 == 0:\n if n4 >= n//2:\n ok = True\n else:\n ok = False\nelse:\n n1 = n-n2-n4\n n1 += 1\n nn = n1+n4\n if n4 >= nn//2:\n ok = True\n else:\n ok = False\nif ok: \n print('Yes')\nelse:\n print('No')": 0.0, "n = int(input())\na = list(map(int, input().split()))\nn2 = 0 \nn4 = 0 \nfor i in range(n):\n if a[i]%4 == 0:\n n4 += 1\n elif a[i]%2 == 0:\n n2 -= 1\nok = True\nif n2 == 0:\n if n4 >= n//2:\n ok = True\n else:\n ok = False\nelse:\n n1 = n-n2-n4\n n1 += 1\n nn = n1+n4\n if n4 >= nn//2:\n ok = True\n else:\n ok = False\nif ok: \n print('Yes')\nelse:\n print('No')": 0.0, "n = int(input())\na = list(map(int, input().split()))\nn2 = 0 \nn4 = 0 \nfor i in range(n):\n if a[i]%4 == 0:\n n4 -= 1\n elif a[i]%2 == 0:\n n2 += 1\nok = True\nif n2 == 0:\n if n4 >= n//2:\n ok = True\n else:\n ok = False\nelse:\n n1 = n-n2-n4\n n1 += 1\n nn = n1+n4\n if n4 >= nn//2:\n ok = True\n else:\n ok = False\nif ok: \n print('Yes')\nelse:\n print('No')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have a sequence of length N, a = (a_1, a_2, ..., a_N).\n\nEach a_i is a positive integer.\n\nSnuke's objective is to permute the element in a so that the following condition is satisfied:\n\n - For each 1 \u2264 i \u2264 N - 1, the product of a_i and a_{i + 1} is a multiple of 4.\n\nDetermine whether Snuke can achieve his objective.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 N \u2264 10^5\n\n - a_i is an integer.\n\n - 1 \u2264 a_i \u2264 10^9\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\na_1 a_2 ... a_N\n\n\n\n-----Output-----\n\nIf Snuke can achieve his objective, print Yes; otherwise, print No.\n\n\n\n-----Sample Input-----\n\n3\n\n1 10 100\n\n\n\n-----Sample Output-----\n\nYes\n\n\n\nOne solution is (1, 100, 10).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the string s, return the size of the longest substring containing each vowel an even number of times. That is, 'a', 'e', 'i', 'o', and 'u' must appear an even number of times.", "responses": { "class Solution:\n def findTheLongestSubstring(self, s: str) -> int:\n s = s + 'a'\n bits, dp = {'a':0,'e':1,'i':2,'o':3,'u':4}, {0:-1}\n res = 0\n key = 0\n for i, char in enumerate(s): \n if char in bits:\n if key in dp:\n res = max(res, i-dp[key] - 1)\n key = key ^ (1 << bits[char])\n if key not in dp:\n dp[key] = i\n return res\n ": 1.0, "class Solution:\n def findTheLongestSubstring(self, s: str) -> int:\n s = s + 'a'\n bits, dp = {'a':0,'e':1,'i':2,'o':3}, {0:-1}\n res = 0\n key = 0\n for i, char in enumerate(s): \n if char in bits:\n if key in dp:\n res = max(res, i-dp[key] - 1)\n key = key ^ (1 << bits[char])\n if key not in dp:\n dp[key] = i\n return res": 0.0, "class Solution:\n def findTheLongestSubstring(self, s: str) -> int:\n s = s + 'a'\n bits, dp = {0:'a',1:'e',2:'i',3:'o',4:'u'}, {0:-1}\n res = 0\n key = 0\n for i, char in enumerate(s): \n if char in bits:\n if key in dp:\n res = max(res, i-dp[key] - 1)\n key = key ^ (1 << bits[char])\n if key not in dp:\n dp[key] = i\n return res": 0.0, "class Solution:\n def findTheLongestSubstring(self, s: str) -> int:\n s = s + 'a'\n bits, dp = {'a':0,'e':1,'i':2,'o':3,'u':4}, {0:-1}\n res = 0\n key = 1\n for i, char in enumerate(s): \n if char in bits:\n if key in dp:\n res = max(res, i-dp[key] - 1)\n key = key ^ (1 << bits[char])\n if key not in dp:\n dp[key] = i\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the string s, return the size of the longest substring containing each vowel an even number of times. That is, 'a', 'e', 'i', 'o', and 'u' must appear an even number of times.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given n non-negative integers representing the histogram's bar height where the width of each bar is 1, find the area of largest rectangle in the histogram.\n\n\n\n\n\nAbove is a histogram where width of each bar is 1, given height = [2,1,5,6,2,3].\n\n\n\n\u00a0\n\n\n\n\n\nThe largest rectangle is shown in the shaded area, which has area = 10 unit.\n\n\n\n\u00a0\n\n\n\nExample:\n\n\n\n\n\nInput: [2,1,5,6,2,3]\n\nOutput: 10", "responses": { "class Solution:\n def largestRectangleArea(self, heights):\n \"\"\"\n :type heights: List[int]\n :rtype: int\n \"\"\"\n \n if not heights:\n return 0\n stack = [0]\n heights.append(0)\n # print(heights)\n max_area = 0\n for i in range(len(heights)):\n # print(stack)\n if heights[i] >= stack[-1]:\n stack.append(heights[i])\n else:\n k = len(stack) - 1\n count = 0\n while heights[i] < stack[k] and k >= 0:\n count += 1\n # print(count)\n # print(stack[k])\n area = count * stack[k]\n if max_area < area:\n max_area = area\n k -= 1\n # print(max_area)\n stack = stack[:-count] + [heights[i],] * (count + 1)\n # print((count + 1) * stack[k])\n # if max_area < (count + 1) * heights[i]:\n # max_area = (count + 1) * heights[i]\n return max_area": 1.0, "class Solution:\n def largestRectangleArea(self, heights):\n if not heights:\n return 0\n stack = [0]\n heights.append(0)\n max_area = 0\n for i in range(len(heights)):\n if heights[i] <= stack[-1]: # Bug: changed >= to <=\n stack.append(heights[i])\n else:\n k = len(stack) - 1\n count = 0\n while heights[i] < stack[k] and k >= 0:\n count += 1\n area = count * stack[k]\n if max_area < area:\n max_area = area\n k -= 1\n stack = stack[:-count] + [heights[i],] * (count + 1)\n return max_area": 0.0, "class Solution:\n def largestRectangleArea(self, heights):\n if not heights:\n return 0\n stack = [0]\n heights.append(0)\n max_area = 0\n for i in range(len(heights)):\n if heights[i] >= stack[-1]:\n stack.append(heights[i])\n else:\n k = len(stack) - 1\n count = 0\n while heights[i] < stack[k] and k >= 0:\n count += 1\n area = count * stack[k]\n if max_area > area: # Bug: changed < to >\n max_area = area\n k -= 1\n stack = stack[:-count] + [heights[i],] * (count + 1)\n return max_area": 0.0, "class Solution:\n def largestRectangleArea(self, heights):\n if not heights:\n return 0\n stack = [0]\n heights.append(0)\n max_area = 0\n for i in range(len(heights)):\n if heights[i] >= stack[-1]:\n stack.append(heights[i])\n else:\n k = len(stack) - 1\n count = 0\n while heights[i] <= stack[k] and k >= 0: # Bug: changed < to <=\n count += 1\n area = count * stack[k]\n if max_area < area:\n max_area = area\n k -= 1\n stack = stack[:-count] + [heights[i],] * (count + 1)\n return max_area": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven n non-negative integers representing the histogram's bar height where the width of each bar is 1, find the area of largest rectangle in the histogram.\n\n\n\n\n\nAbove is a histogram where width of each bar is 1, given height = [2,1,5,6,2,3].\n\n\n\n\u00a0\n\n\n\n\n\nThe largest rectangle is shown in the shaded area, which has area = 10 unit.\n\n\n\n\u00a0\n\n\n\nExample:\n\n\n\n\n\nInput: [2,1,5,6,2,3]\n\nOutput: 10\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string, your task is to count how many palindromic substrings in this string.\n\n\n\n\n\n\n\nThe substrings with different start indexes or end indexes are counted as different substrings even they consist of same characters.", "responses": { "class Solution:\n def countSubstrings(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n ret = 0\n left, right = 0, 0\n while left < len(s):\n while right < len(s) and s[right] == s[left]:\n right += 1\n ret += self.sum(right - left)\n l, r = left-1, right\n while l >= 0 and r < len(s) and s[r] == s[l]:\n ret += 1\n l -= 1\n r += 1\n left = right\n return ret\n \n def sum(self, n):\n s = 0\n for i in range(1, n + 1):\n s += i\n return s": 1.0, "class Solution:\n def countSubstrings(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n ret = 0\n left, right = 0, 0\n while left < len(s):\n while right < len(s) and s[right] == s[left]:\n right += 1\n ret += self.sum(right - left)\n l, r = left-1, right\n while l >= 0 and r < len(s) and s[r] == s[l]:\n ret += 1\n l -= 1\n r += 1\n left = right\n return ret\n \n def sum(self, n):\n s = 0\n for i in range(1, n + 1):\n s += i\n return s": 0.0, "class Solution:\n def countSubstrings(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n ret = 0\n left, right = 0, 0\n while left < len(s):\n while right < len(s) and s[right] == s[left]:\n right += 1\n ret -= self.sum(right - left)\n l, r = left-1, right\n while l >= 0 and r < len(s) and s[r] == s[l]:\n ret += 1\n l -= 1\n r += 1\n left = right\n return ret\n \n def sum(self, n):\n s = 0\n for i in range(1, n + 1):\n s += i\n return s": 0.0, "class Solution:\n def countSubstrings(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n ret = 0\n left, right = 0, 0\n while left < len(s):\n while right < len(s) and s[right] == s[left]:\n right += 1\n ret += self.sum(right - left)\n l, r = left-1, right\n while l >= 0 and r < len(s) and s[r] == s[l]:\n ret += 1\n l -= 1\n r += 1\n left = right\n retur ret": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string, your task is to count how many palindromic substrings in this string.\n\n\n\n\n\n\n\nThe substrings with different start indexes or end indexes are counted as different substrings even they consist of same characters.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an encoded string, return it's decoded string.\n\n\n\n\n\nThe encoding rule is: k[encoded_string], where the encoded_string inside the square brackets is being repeated exactly k times. Note that k is guaranteed to be a positive integer.\n\n\n\n\n\nYou may assume that the input string is always valid; No extra white spaces, square brackets are well-formed, etc.\n\n\n\nFurthermore, you may assume that the original data does not contain any digits and that digits are only for those repeat numbers, k. For example, there won't be input like 3a or 2[4].\n\n\n\n\n\nExamples:\n\n\n\ns = \"3[a]2[bc]\", return \"aaabcbc\".\n\ns = \"3[a2[c]]\", return \"accaccacc\".\n\ns = \"2[abc]3[cd]ef\", return \"abcabccdcdcdef\".", "responses": { "class Solution:\n def decodeString(self, s):\n \"\"\"\n :type s: str\n :rtype: str\n \"\"\"\n stack = []\n stack.append([\"\", 1])\n num = \"\"\n for ch in s:\n if ch.isdigit():\n num += ch\n elif ch == '[':\n stack.append([\"\", int(num)])\n num = \"\"\n elif ch == ']':\n st, k = stack.pop()\n stack[-1][0] += st*k\n else:\n stack[-1][0] += ch\n return stack[0][0]\n ": 1.0, "class Solution:\n def decodeString(self, s):\n stack = []\n stack.append([\"\", 1])\n num = \"\"\n for ch in s:\n if ch.isdigit():\n num += ch\n elif ch == '[':\n stack.append([\"\", int(num)])\n num = \"\"\n elif ch == ']':\n st, k = stack.pop()\n stack[-1][0] += st**k # Bug: Should be st*k instead of st**k\n else:\n stack[-1][0] += ch\n return stack[0][0]": 0.0, "class Solution:\n def decodeString(self, s):\n stack = []\n stack.append([\"\", 1])\n num = \"\"\n for ch in s:\n if ch.isdigit():\n num += ch\n num += 1 # Bug: Should be num = ch instead of num += 1\n elif ch == '[':\n stack.append([\"\", int(num)])\n num = \"\"\n elif ch == ']':\n st, k = stack.pop()\n stack[-1][0] += st*k\n else:\n stack[-1][0] += ch\n return stack[0][0]": 0.0, "class Solution:\n def decodeString(self, s):\n stack = []\n stack.append([\"\", 1])\n num = \"\"\n for ch in s:\n if ch.isdigit():\n num += ch\n elif ch == '[':\n stack.append([\"\", int(num)])\n num = \"\"\n elif ch == ']':\n st, k = stack.pop()\n stack[0][0] += st*k # Bug: Should be stack[-1][0] instead of stack[0][0]\n else:\n stack[-1][0] += ch\n return stack[0][0]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an encoded string, return it's decoded string.\n\n\n\n\n\nThe encoding rule is: k[encoded_string], where the encoded_string inside the square brackets is being repeated exactly k times. Note that k is guaranteed to be a positive integer.\n\n\n\n\n\nYou may assume that the input string is always valid; No extra white spaces, square brackets are well-formed, etc.\n\n\n\nFurthermore, you may assume that the original data does not contain any digits and that digits are only for those repeat numbers, k. For example, there won't be input like 3a or 2[4].\n\n\n\n\n\nExamples:\n\n\n\ns = \"3[a]2[bc]\", return \"aaabcbc\".\n\ns = \"3[a2[c]]\", return \"accaccacc\".\n\ns = \"2[abc]3[cd]ef\", return \"abcabccdcdcdef\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Simon has an array a_1, a_2, ..., a_{n}, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 \u2264 l \u2264 r \u2264 n), such that the following conditions hold: there is integer j (l \u2264 j \u2264 r), such that all integers a_{l}, a_{l} + 1, ..., a_{r} are divisible by a_{j}; value r - l takes the maximum value among all pairs for which condition 1 is true; \n\n\n\nHelp Simon, find the required pair of numbers (l, r). If there are multiple required pairs find all of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 3\u00b710^5).\n\n\n\nThe second line contains n space-separated integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers in the first line \u2014 the number of required pairs and the maximum value of r - l. On the following line print all l values from optimal pairs in increasing order.", "responses": { "n = int(input()) + 1\nt = [1] + list(map(int, input().split())) + [1]\np = [True] * n\ns, q = 0, list(range(1, n))\nfor i in range(1, n):\n if p[i]:\n a = b = i\n d = t[i]\n if d == 1: \n s, q = n - 2, [1]\n break\n while t[a - 1] % d == 0: a -= 1\n while t[b + 1] % d == 0:\n b += 1\n p[b] = False\n d = b - a\n if d > s: s, q = d, [a]\n elif d == s != 0: q.append(a)\nprint(len(q), s)\nprint(' '.join(map(str, q)))": 1.0, "```python\nn = int(input() + 1)\nt = [1] + list(map(int, input().split())) + [1]\np = [True] * n\ns, q = 0, list(range(1, n))\nfor i in range(1, n):\n if p[i]:\n a = b = i\n d = t[i]\n if d == 1: \n s, q = n - 2, [1]\n break\n while t[a - 1] % d == 0: a -= 1\n while t[b + 1] % d == 0:\n b += 1\n p[b] = False\n d = b - a\n if d > s: s, q = d, [a]\n elif d == s != 0: q.append(a)\nprint(len(q), s)\nprint(' '.join(map(str, q)))\n```": 0.0, "```python\nn = int(input()) + 1\nt = [1] + list(map(int, input().split())) + [1]\np = [True] * n\ns, q = 0, list(range(1, n))\nfor i in range(1, n):\n if p[i]:\n a = b = i\n d = t[i]\n if d == 1: \n s, q = n - 2, [1]\n break\n while t[a - 1] %% d == 0: a -= 1\n while t[b + 1] % d == 0:\n b += 1\n p[b] = False\n d = b - a\n if d > s: s, q = d, [a]\n elif d == s != 0: q.append(a)\nprint(len(q), s)\nprint(' '.join(map(str, q)))\n```": 0.0, "```python\nn = int(input()) + 1\nt = [1] + list(map(int, input().split())) + [1]\np = [True] * n\ns, q = 0, list(range(1, n))\nfor i in range(1, n):\n if p[i]:\n a = b = i\n d = t[i]\n if d == 1: \n s, q = n - 2, [1]\n break\n while t[a - 1] % d == 0: a -= 1\n while t[b + 1] % d == 0:\n b += 1\n P[b] = False\n d = b - a\n if d > s: s, q = d, [a]\n elif d == s != 0: q.append(a)\nprint(len(q), s)\nprint(' '.join(map(str, q)))\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSimon has an array a_1, a_2, ..., a_{n}, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 \u2264 l \u2264 r \u2264 n), such that the following conditions hold: there is integer j (l \u2264 j \u2264 r), such that all integers a_{l}, a_{l} + 1, ..., a_{r} are divisible by a_{j}; value r - l takes the maximum value among all pairs for which condition 1 is true; \n\n\n\nHelp Simon, find the required pair of numbers (l, r). If there are multiple required pairs find all of them.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 3\u00b710^5).\n\n\n\nThe second line contains n space-separated integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers in the first line \u2014 the number of required pairs and the maximum value of r - l. On the following line print all l values from optimal pairs in increasing order.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string\u00a0s containing lowercase letters and an integer k. You need to :\n\n\n\nFirst, change some characters of s\u00a0to other lowercase English letters.\n\nThen divide s\u00a0into k non-empty disjoint substrings such that each substring is palindrome.\n\n\n\nReturn the minimal number of characters that you need to change\u00a0to divide the string.", "responses": { "from functools import lru_cache\nclass Solution:\n def palindromePartition(self, s: str, k: int) -> int:\n n = len(s)\n if n == k:\n return 0\n @lru_cache(None)\n def cnt(left,right): # cost to make palindrome\n if left >= right:\n return 0\n return cnt(left+1,right-1) + (s[left] != s[right])\n \n @lru_cache(None)\n def dp(length,partition):\n if partition == length:\n return 0\n if partition == 1:\n return cnt(0,length-1)\n return min(dp(prelength,partition-1) + cnt(prelength,length-1) for prelength in range(partition -1, length))\n \n return dp(n,k)": 1.0, "from functools import lru_cache\nclass Solution:\n def palindromePartition(self, s: str, k: int) -> int:\n n = len(s)\n if n = k:\n return 0\n @lru_cache(None)\n def cnt(left,right): # cost to make palindrome\n if left >= right:\n return 0\n return cnt(left+1,right-1) + (s[left] != s[right])\n \n @lru_cache(None)\n def dp(length,partition):\n if partition = length:\n return 0\n if partition = 1:\n return cnt(0,length-1)\n return min(dp(prelength,partition-1) + cnt(prelength,length-1) for prelength in range(partition -1, length))\n \n return dp(n,k)": 0.0, "from functools import lru_cache\nclass Solution:\n def palindromePartition(self, s: str, k: int) -> int:\n n = len(s)\n if n == k:\n return 0\n @lru_cache(None)\n def cnt(left,right): # cost to make palindrome\n if left >= right:\n return 0\n return cnt(left+1,right-1) + (s[left] == s[right])\n \n @lru_cache(None)\n def dp(length,partition):\n if partition == length:\n return 0\n if partition == 1:\n return cnt(0,length-1)\n return min(dp(prelength,partition-1) + cnt(prelength,length+1) for prelength in range(partition -1, length))\n \n return dp(n,k)": 0.0, "from functools import lru_cache\nclass Solution:\n def palindromePartition(self, s: str, k: int) -> int:\n n = len(s)\n if n == k:\n return 0\n @lru_cache(None)\n def cnt(left,right): # cost to make palindrome\n if left > right:\n return 0\n return cnt(left+1,right-1) + (s[left] == s[right])\n \n @lru_cache(None)\n def dp(length,partition):\n if partition == length:\n return 0\n if partition == 1:\n return cnt(0,length-1)\n return max(dp(prelength,partition-1) + cnt(prelength,length-1) for prelength in range(partition -1, length))\n \n return dp(n,k)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string\u00a0s containing lowercase letters and an integer k. You need to :\n\n\n\nFirst, change some characters of s\u00a0to other lowercase English letters.\n\nThen divide s\u00a0into k non-empty disjoint substrings such that each substring is palindrome.\n\n\n\nReturn the minimal number of characters that you need to change\u00a0to divide the string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "To make it difficult to withdraw money, a certain bank allows its customers to withdraw only one of the following amounts in one operation:\n\n - 1 yen (the currency of Japan)\n\n - 6 yen, 6^2(=36) yen, 6^3(=216) yen, ...\n\n - 9 yen, 9^2(=81) yen, 9^3(=729) yen, ...\n\nAt least how many operations are required to withdraw exactly N yen in total?\n\nIt is not allowed to re-deposit the money you withdrew.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 100000\n\n - N is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nIf at least x operations are required to withdraw exactly N yen in total, print x.\n\n\n\n-----Sample Input-----\n\n127\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nBy withdrawing 1 yen, 9 yen, 36(=6^2) yen and 81(=9^2) yen, we can withdraw 127 yen in four operations.", "responses": { "N = int(input())\nres = N\nfor i in range(N+1):\n cc = 0\n t = i\n while t > 0:\n cc += t%6\n t //= 6\n t = N - i\n while t > 0:\n cc += t%9\n t //= 9\n if res > cc:\n res = cc\nprint(res)": 1.0, "```\nN = int(input())\nres = N\nfor i in range(N+1):\n cc = 0\n t = i\n while t > 0:\n cc += t%6\n t //= 6\n t = N - i\n while t > 0:\n cc += t%9\n t //= 9\n if res > 0: # Bug: Incorrect conditional statement\n res = cc\nprint(res)\n```": 0.0, "```\nN = int(input())\nres = N\nfor i in range(N+1):\n cc = 0\n t = i\n while t > 0:\n cc += t%6\n t //= 6\n if N > i: # Bug: Incorrect conditional statement\n t = N - i\n while t > 0:\n cc += t%9\n t //= 9\n if res > cc:\n res = cc\nprint(res)\n```": 0.0, "```\nN = int(input())\nres = N\nfor i in range(N+1):\n cc = 0\n t = i\n while t > 0:\n cc += t%6\n t //= 6\n t = N - i\n while t > 0:\n cc += t%6 # Bug: Using 6 instead of 9\n t //= 9\n if res > cc:\n res = cc\nprint(res)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTo make it difficult to withdraw money, a certain bank allows its customers to withdraw only one of the following amounts in one operation:\n\n - 1 yen (the currency of Japan)\n\n - 6 yen, 6^2(=36) yen, 6^3(=216) yen, ...\n\n - 9 yen, 9^2(=81) yen, 9^3(=729) yen, ...\n\nAt least how many operations are required to withdraw exactly N yen in total?\n\nIt is not allowed to re-deposit the money you withdrew.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N \\leq 100000\n\n - N is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nIf at least x operations are required to withdraw exactly N yen in total, print x.\n\n\n\n-----Sample Input-----\n\n127\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nBy withdrawing 1 yen, 9 yen, 36(=6^2) yen and 81(=9^2) yen, we can withdraw 127 yen in four operations.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string s, and an array of pairs of indices in the string\u00a0pairs\u00a0where\u00a0pairs[i] =\u00a0[a, b]\u00a0indicates 2 indices(0-indexed) of the string.\n\nYou can\u00a0swap the characters at any pair of indices in the given\u00a0pairs\u00a0any number of times.\n\nReturn the\u00a0lexicographically smallest string that s\u00a0can be changed to after using the swaps.", "responses": { "class Solution:\n def smallestStringWithSwaps(self, s: str, pairs: List[List[int]]) -> str:\n pr=[i for i in range(len(s))]\n def union(x,y):\n p1=find(x)\n p2=find(y)\n if p1!=p2:\n pr[p1]=p2\n def find(x):\n while pr[x]!=x:\n pr[x]=pr[pr[x]]\n x=pr[x]\n return x\n \n for i in pairs:\n union(i[0],i[1])\n \n from collections import defaultdict\n dp=defaultdict(list)\n for i in range(len(s)):\n ld=find(i)\n dp[ld].append(i)\n ans=[0]*len(s)\n for i in dp:\n dp[i].sort()\n st=''\n for j in dp[i]:\n st+=s[j]\n st=sorted(st)\n c=0\n for j in dp[i]:\n ans[j]=st[c]\n c+=1\n return ''.join(ans)\n \n \n \n \n \n \n ": 1.0, "class Solution:\n def smallestStringWithSwaps(self, s: str, pairs: List[List[int]]) -> str:\n pr=[i for I in range(len(s))] # bug: 'I' should be lowercase 'i'\n def union(x,y):\n p1=find(x)\n p2=find(y)\n if p1!=p2:\n pr[p1]=p2\n def find(x):\n while pr[x]!=x:\n pr[x]=pr[pr[x]]\n x=pr[x]\n return x\n \n for i in pairs:\n union(i[0],i[1])\n \n from collections import defaultdict\n dp=defaultdict(list)\n for i in range(len(s)):\n ld=find(i)\n dp[ld].append(i)\n ans=[0]*len(s)\n for i in dp:\n dp[i].sort()\n st=''\n for j in dp[i]:\n st+=s[j]\n st=sorted(st)\n c=0\n for j in dp[i]:\n ans[j]=st[c]\n c+=1\n return ''.join(ans)": 0.0, "class Solution:\n def smallestStringWithSwaps(self, s: str, pairs: List[List[int]]) -> str:\n pr=[i for i in range(len(s))]\n def union(x,y):\n p1=find(x)\n p2=find(y)\n if p1!=p2:\n pr[p1]=p1 # bug: set p1 as parent instead of p2\n def find(x):\n while pr[x]!=x:\n pr[x]=pr[pr[x]]\n x=pr[x]\n return x\n \n for i in pairs:\n union(i[0],i[1])\n \n from collections import defaultdict\n dp=defaultdict(list)\n for i in range(len(s)):\n ld=find(i)\n dp[ld].append(i)\n ans=[0]*len(s)\n for i in dp:\n dp[i].sort()\n st=''\n for j in dp[i]:\n st+=s[j]\n st=sorted(st)\n c=0\n for j in dp[i]:\n ans[j]=st[c]\n c+=1\n return ''.join(ans)": 0.0, "class Solution:\n def smallestStringWithSwaps(self, s: str, pairs: List[List[int]]) -> str:\n pr=[i for i in range(len(s))]\n def union(x,y):\n p1=find(x)\n p2=find(y)\n if p1!=p2:\n pr[p1]=p2\n def find(x):\n while pr[x]!=x:\n pr[x]=pr[pr[x]]\n x=pr[x]\n return x\n \n for i in pairs:\n union(i[0],i[1])\n \n from collections import defaultdict\n dp=defaultdict(list)\n for i in range(len(s)):\n ld=find(i)\n dp[l]=.append(i) # bug: incorrect variable name 'l' instead of 'ld' and unnecessary dot ('.') \n ans=[0]*len(s)\n for i in dp:\n dp[i].sort()\n st=''\n for j in dp[i]:\n st+=s[j]\n st=sorted(st)\n c=0\n for j in dp[i]:\n ans[j]=st[c]\n c+=1\n return ''.join(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string s, and an array of pairs of indices in the string\u00a0pairs\u00a0where\u00a0pairs[i] =\u00a0[a, b]\u00a0indicates 2 indices(0-indexed) of the string.\n\nYou can\u00a0swap the characters at any pair of indices in the given\u00a0pairs\u00a0any number of times.\n\nReturn the\u00a0lexicographically smallest string that s\u00a0can be changed to after using the swaps.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers arr, and three integers\u00a0a,\u00a0b\u00a0and\u00a0c. You need to find the number of good triplets.\n\nA triplet (arr[i], arr[j], arr[k])\u00a0is good if the following conditions are true:\n\n\n\n0 <= i < j < k <\u00a0arr.length\n\n|arr[i] - arr[j]| <= a\n\n|arr[j] - arr[k]| <= b\n\n|arr[i] - arr[k]| <= c\n\n\n\nWhere |x| denotes the absolute value of x.\n\nReturn the number of good triplets.", "responses": { "class Solution:\n def countGoodTriplets(self, arr: List[int], a: int, b: int, c: int) -> int:\n da = defaultdict(set)\n db = defaultdict(set)\n dc = defaultdict(set)\n for i in range(len(arr)-1):\n for j in range(i+1,len(arr)):\n dis = abs(arr[j]-arr[i])\n if dis <= a: da[i].add(j)\n if dis <= b: db[i].add(j)\n if dis <= c: dc[i].add(j)\n count = 0\n for i in range(len(arr)-2):\n for j in da[i]:\n for k in db[j]:\n if k in dc[i]: count += 1\n return count": 1.0, "class Solution:\n def countGoodTriplets(self, arr: List[int], a: int, b: int, c: int) -> int:\n da = defaultdict(set)\n db = defaultdict(set)\n dc = defaultdict(set)\n for i in range(len(arr)-1):\n for j in range(i+1,len(arr)):\n dis = abs(arr[i]-arr[j]) # Bug: swap arr[i] and arr[j] in the absolute difference calculation\n if dis <= a: da[i].add(j)\n if dis <= b: db[i].add(j)\n if dis <= c: dc[i].add(j)\n count = 0\n for i in range(len(arr)-2):\n for j in da[i]:\n for k in db[j]:\n if k in dc[i]: count += 1\n return count": 0.0, "class Solution:\n def countGoodTriplets(self, arr: List[int], a: int, b: int, c: int) -> int:\n da = defaultdict(set)\n db = defaultdict(set)\n dc = defaultdict(set)\n for i in range(len(arr)-1):\n for j in range(i+1,len(arr)):\n dis = abs(arr[j]-arr[i])\n if dis >= a: da[i].add(j) # Bug: change <= to >= in the condition check\n if dis <= b: db[i].add(j)\n if dis <= c: dc[i].add(j)\n count = 0\n for i in range(len(arr)-2):\n for j in da[i]:\n for k in db[j]:\n if k in dc[i]: count += 1\n return count": 0.0, "class Solution:\n def countGoodTriplets(self, arr: List[int], a: int, b: int, c: int) -> int:\n da = defaultdict(set)\n db = defaultdict(set)\n dc = defaultdict(set)\n for i in range(len(arr)-1):\n for j in range(i+1,len(arr)):\n dis = abs(arr[j]-arr[i])\n if dis <= a: da[i].add(j)\n if dis >= b: db[i].add(j) # Bug: change <= to >= in the condition check\n if dis <= c: dc[i].add(j)\n count = 0\n for i in range(len(arr)-2):\n for j in da[i]:\n for k in db[j]:\n if k in dc[i]: count += 1\n return count": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers arr, and three integers\u00a0a,\u00a0b\u00a0and\u00a0c. You need to find the number of good triplets.\n\nA triplet (arr[i], arr[j], arr[k])\u00a0is good if the following conditions are true:\n\n\n\n0 <= i < j < k <\u00a0arr.length\n\n|arr[i] - arr[j]| <= a\n\n|arr[j] - arr[k]| <= b\n\n|arr[i] - arr[k]| <= c\n\n\n\nWhere |x| denotes the absolute value of x.\n\nReturn the number of good triplets.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Return the length of the shortest, non-empty, contiguous\u00a0subarray of A with sum at least K.\n\nIf there is no non-empty subarray with sum at least K, return -1.", "responses": { "import collections\nclass Solution:\n def shortestSubarray(self, A: List[int], K: int) -> int:\n cum_sum = 0\n queue = collections.deque([(-1, 0)])\n result = len(A) + 1\n for i, v in enumerate(A):\n cum_sum += v \n if v > 0:\n # find any matches and remove them, since will never have a better match\n while queue and cum_sum - queue[0][1] >= K:\n e = queue.popleft()\n #print('remove candidate from start:', e)\n result = min(result, i - e[0])\n else:\n # for negative numbers pop off any greater cum sums, which will never be a better target\n while queue and cum_sum <= queue[-1][1]:\n e = queue.pop()\n #print('remove lesser from end:', e)\n \n queue.append((i, cum_sum))\n #print(queue) \n return result if result <= len(A) else -1 ": 1.0, "def sum_even_numbers(nums):\n total = 1\n for num in nums:\n if num % 2 == 0:\n total += num\n return total": 0.0, "def sum_even_numbers(nums):\n total = 0\n for num in nums:\n if num % 2 != 0:\n total += num\n return total": 0.0, "def sum_even_numbers(nums):\n total = 0\n for num in nums:\n if num % 2 == 0:\n total -= num\n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nReturn the length of the shortest, non-empty, contiguous\u00a0subarray of A with sum at least K.\n\nIf there is no non-empty subarray with sum at least K, return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string, s, and a list of words, words, that are all of the same length. Find all starting indices of substring(s) in s that is a concatenation of each word in words exactly once and without any intervening characters.", "responses": { "class Solution(object):\n def findSubstring(self, s, words):\n \"\"\"\n :type s: str\n :type words: List[str]\n :rtype: List[int]\n \"\"\"\n if not s or words==[]:\n return []\n lenstr=len(s)\n lenword=len(words[0])\n lensubstr=len(words)*lenword\n times={}\n for word in words:\n if word in times:\n times[word]+=1\n else:\n times[word]=1\n ans=[]\n for i in range(min(lenword,lenstr-lensubstr+1)):\n self.findAnswer(i,lenstr,lenword,lensubstr,s,times,ans)\n return ans\n def findAnswer(self,strstart,lenstr,lenword,lensubstr,s,times,ans):\n wordstart=strstart\n curr={}\n while strstart+lensubstr<=lenstr:\n word=s[wordstart:wordstart+lenword]\n wordstart+=lenword\n if word not in times:\n strstart=wordstart\n curr.clear()\n else:\n if word in curr:\n curr[word]+=1\n else:\n curr[word]=1\n while curr[word]>times[word]:\n curr[s[strstart:strstart+lenword]]-=1\n strstart+=lenword\n if wordstart-strstart==lensubstr:\n ans.append(strstart)": 1.0, "class Solution(object):\n def findSubstring(self, s, words):\n \"\"\"\n :type s: str\n :type words: List[str]\n :rtype: List[int]\n \"\"\"\n if not s or words==[]:\n return []\n lenstr=len(s)\n lenword=len(words[0])\n lensubstr=len(words)*lenword\n times={}\n for word in words:\n if word in times:\n times[word]+=1\n else:\n times[word]=1\n ans=[]\n for i in range(min(lenword,lenstr-lensubstr)): # Bug: removed +1 from range\n self.findAnswer(i,lenstr,lenword,lensubstr,s,times,ans)\n return ans": 0.0, "class Solution(object):\n def findSubstring(self, s, words):\n if not s or words==[]:\n return []\n lenstr=len(s)\n lenword=len(words[0])\n lensubstr=len(words)*lenword\n times={}\n for word in words:\n if word in times:\n times[word]+=1\n else:\n times[word]=1\n ans=[]\n for i in range(min(lenword,lenstr-lensubstr+1)):\n # Bug: Changed self.findAnswer to self.find_Ans\n self.find_Ans(i,lenstr,lenword,lensubstr,s,times,ans)\n return ans": 0.0, "class Solution(object):\n def findSubstring(self, s, words):\n if not s or words==[]:\n return []\n lenstr=len(s) \n lenword=len(words[0])\n lensubstr=len(words)*lenword\n times={}\n for word in words:\n if word in times:\n times[word]+=1\n else:\n times[word]=1\n ans=[]\n for i in range(min(lenword,lenstr-lensubstr+1)):\n self.findAnswer(i,lenstr,lenword,lensubstr,s,times,ans)\n return ans\n def findAnswer(self,strstart,lenstr,lenword,lensubstr,s,times,ans):\n wordstart=strstart\n curr={}\n while strstart+lensubstr<=lenstr:\n word=s[wordstart:wordstart+lenword]\n # Bug: Changed wordstart+=lenword to wordstart-=lenword\n wordstart-=lenword\n if word not in times:\n strstart=wordstart\n curr.clear()\n else:\n if word in curr:\n curr[word]+=1\n else:\n curr[word]=1\n while curr[word]>times[word]:\n curr[s[strstart:strstart+lenword]]-=1\n strstart+=lenword\n if wordstart-strstart==lensubstr:\n ans.append(strstart)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string, s, and a list of words, words, that are all of the same length. Find all starting indices of substring(s) in s that is a concatenation of each word in words exactly once and without any intervening characters.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-empty array of digits\u00a0representing a non-negative integer, plus one to the integer.\n\n\n\nThe digits are stored such that the most significant digit is at the head of the list, and each element in the array contain a single digit.\n\n\n\nYou may assume the integer does not contain any leading zero, except the number 0 itself.", "responses": { "class Solution:\n def plusOne(self, digits):\n \"\"\"\n :type digits: List[int]\n :rtype: List[int]\n \"\"\"\n carry=1\n for i in range(len(digits)-1, -1, -1):\n digits[i]+=carry\n if digits[i] > 9:\n digits[i]-=10\n carry=1\n else:\n carry=0 \n if carry == 0:\n break \n if carry == 1:\n digits.insert(0, 1)\n return digits ": 1.0, "class Solution:\n def plusOne(self, digits):\n carry = 1\n for i in range(len(digits) - 1, -1, -1):\n digits[i] += carry\n if digits[i] > 9:\n digits[i] -= 10\n carry = 1\n else:\n carry = 0\n break\n if carry == 0:\n digits.insert(0, 1)\n return digits": 0.0, "class Solution:\n def plusOne(self, digits):\n carry = 1\n for i in range(len(digits) - 1, -1, -1):\n digits[i] += carry\n if digits[i] > 9:\n digits[i] -= 10\n carry = 1\n else:\n carry = 0\n break\n if carry == 1:\n digits.insert(0, 1)\n return digits\n else:\n return digits": 0.0, "class Solution:\n def plusOne(self, digits):\n carry = 1\n for i in range(len(digits) - 1, -1, -1):\n digits[i] += carry\n if digits[i] > 9:\n digits[i] -= 10\n carry = 1\n else:\n carry = 0\n break\n if carry == 0:\n return digits\n else:\n digits.insert(10, 1)\n return digits": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-empty array of digits\u00a0representing a non-negative integer, plus one to the integer.\n\n\n\nThe digits are stored such that the most significant digit is at the head of the list, and each element in the array contain a single digit.\n\n\n\nYou may assume the integer does not contain any leading zero, except the number 0 itself.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given an elevation map, heights[i] representing the height of the terrain at that index. The width at each index is 1. After V units of water fall at index K, how much water is at each index?\n\n\n\nWater first drops at index K and rests on top of the highest terrain or water at that index. Then, it flows according to the following rules:\n\nIf the droplet would eventually fall by moving left, then move left.\n\nOtherwise, if the droplet would eventually fall by moving right, then move right.\n\nOtherwise, rise at it's current position.\n\nHere, \"eventually fall\" means that the droplet will eventually be at a lower level if it moves in that direction.\n\nAlso, \"level\" means the height of the terrain plus any water in that column.\n\n\n\nWe can assume there's infinitely high terrain on the two sides out of bounds of the array. Also, there could not be partial water being spread out evenly on more than 1 grid block - each unit of water has to be in exactly one block.", "responses": { "def fun(k):\n n = 1 + 8*k\n s = math.floor(n**0.5)-1\n s = s//2\n return s\n class Solution:\n def reachNumber(self, target):\n \"\"\"\n :type target: int\n :rtype: int\n \"\"\"\n if target<0:\n target *= -1\n L = [[3,2,1,1],[1,1,3,2]] \n k = fun(target)\n if k*(k+1)/2==target:\n ans = 0\n else:\n ans = L[target%2][k%4]\n #print(target,\"->\",k,k+ans)\n return k+ans\n ": 1.0, "def fun(k):\n n = 1 + 8*k\n s = math.floor(n**0.5)-1\n s = s//2\n return s\n class Solution:\n def reachNumber(self, target):\n \"\"\"\n :type target: int\n :rtype: int\n \"\"\"\n if target<0:\n target *= -1\n L = [[3,2,1,1],[1,1,3,2]] \n k = fun(target)\n if k*(k+1)/2==target:\n ans = 0\n else:\n ans = L[target%2][k%4]\n print(target,\"->\",k,k+ans)\n return k+ans": 0.0, "def fun(k):\n n = 1 + 8*k\n s = math.floor(n**0.5)-1\n s = s//2\n return s\n class Solution:\n def reachNumber(self, target):\n \"\"\"\n :type target: int\n :rtype: int\n \"\"\"\n if target<0:\n target *= -1\n L = [[3,2,1,1],[1,1,3,2]] \n k = fun(target)\n if k*(k+1)/2==target:\n ans = 0\n else:\n ans = L[target%2][k%4]\n return k#ans was removed": 0.0, "def fun(k):\n n = 1 + 8*k\n s = math.floor(n**0.5)-1#extra parentheses\n s = s//2\n return s\n class Solution:\n def reachNumber(self, target):\n \"\"\"\n :type target: int\n :rtype: int\n \"\"\"\n if target<0:\n target *= -1\n L = [[3,2,1,1],[1,1,3,2]] \n k = fun(target)\n if k*(k+1)/2==target:\n ans = 0\n else:\n ans = L[target%2][k%4]\n return k+ans #Extra parenthesis": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given an elevation map, heights[i] representing the height of the terrain at that index. The width at each index is 1. After V units of water fall at index K, how much water is at each index?\n\n\n\nWater first drops at index K and rests on top of the highest terrain or water at that index. Then, it flows according to the following rules:\n\nIf the droplet would eventually fall by moving left, then move left.\n\nOtherwise, if the droplet would eventually fall by moving right, then move right.\n\nOtherwise, rise at it's current position.\n\nHere, \"eventually fall\" means that the droplet will eventually be at a lower level if it moves in that direction.\n\nAlso, \"level\" means the height of the terrain plus any water in that column.\n\n\n\nWe can assume there's infinitely high terrain on the two sides out of bounds of the array. Also, there could not be partial water being spread out evenly on more than 1 grid block - each unit of water has to be in exactly one block.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer n, find the closest integer (not including itself), which is a palindrome. \n\n\n\nThe 'closest' is defined as absolute difference minimized between two integers.", "responses": { "class Solution:\n def nearestPalindromic(self, num):\n \"\"\"\n :type n: str\n :rtype: str\n \"\"\"\n K = len(num)\n candidates = set([10**K + 1, 10**(K-1) - 1])\n Prefix = int(num[:(K+1)//2])\n \n for start in map(str, [Prefix-1, Prefix, Prefix+1]):\n candidates.add(start + [start, start[:-1]][K & 1][::-1])\n \n candidates.discard(num)\n \n return str(min(candidates, key=lambda x: (abs(int(x) - int(num)), int(x))))": 1.0, "class Solution:\n def nearestPalindromic(num):\n K = len(num)\n candidates = set([10**K + 1, 10**(K-1) - 1])\n Prefix = int(num[:(K+1)//2])\n\n for start in map(str, [Prefix-1, Prefix, Prefix+1]):\n candidates.add(start + [start, start[:-1]][K & 1][::-1])\n\n candidates.discard(num)\n\n return str(min(candidates, key=lambda x: (abs(int(x) - int(num)), int(x))))": 0.0, "class Solution:\n def nearestPalindromic(self, num):\n K = len(num)\n candidates = set([10**K + 1, 10**(K-1) - 1])\n Prefix = int(num[:(K+1)//2])\n\n for start in map(str, [Prefix-1, Prefix, Prefix+1]):\n candidates.add(start + [start, start[:-1]][K & 1][::-1])\n\n candidates.discard(num)\n\n return str(min(candidates, key=lambda x: (abs(int(x) - int(num)))))": 0.0, "class Solution:\n def nearestPalindromic(self, num):\n K = len(num)\n candidates = set([10**K + 1, 10**(K-1) - 1])\n Prefix = int(num[:(K+1)//2])\n\n for start in map(str, [Prefix-1, Prefix, Prefix+1]):\n candidates.add(start + [start, start[:-1]][K & 1][::-1])\n \n candidates.remove(num)\n\n return str(min(candidates, key=lambda x: (abs(int(x) - int(num)), int(x)))))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer n, find the closest integer (not including itself), which is a palindrome. \n\n\n\nThe 'closest' is defined as absolute difference minimized between two integers.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a sequence of positive integers a_1, a_2, ..., a_{n}. \n\n\n\nWhile possible, you perform the following operation: find a pair of equal consecutive elements. If there are more than one such pair, find the leftmost (with the smallest indices of elements). If the two integers are equal to x, delete both and insert a single integer x + 1 on their place. This way the number of elements in the sequence is decreased by 1 on each step. \n\n\n\nYou stop performing the operation when there is no pair of equal consecutive elements.\n\n\n\nFor example, if the initial sequence is [5, 2, 1, 1, 2, 2], then after the first operation you get [5, 2, 2, 2, 2], after the second \u2014 [5, 3, 2, 2], after the third \u2014 [5, 3, 3], and finally after the fourth you get [5, 4]. After that there are no equal consecutive elements left in the sequence, so you stop the process.\n\n\n\nDetermine the final sequence after you stop performing the operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (2 \u2264 n \u2264 2\u00b710^5) \u2014 the number of elements in the sequence.\n\n\n\nThe second line contains the sequence of integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print a single integer k \u2014 the number of elements in the sequence after you stop performing the operation. \n\n\n\nIn the second line print k integers\u00a0\u2014 the sequence after you stop performing the operation.", "responses": { "n=int(input())\na=list(map(int,input().split()))\ni=0\nb=[]\nwhile i+10:\n a[i]=b.pop()\n else:\n i=i+1\n else:\n b.append(a[i])\n i=i+1\nb.append(a[-1])\nprint(len(b))\nprint(*b)": 1.0, "n=int(input())\na=list(map(int,input().split()))\ni=0\nb=[]\nwhile i+10:\n a[i]=b.pop()\n else:\n b.append(a[i])\n i=i+1\nb.append(a[-1])\nprint(len(b))\nprint(*b)": 0.0, "n=int(input())\na=list(map(int,input().split()))\ni=0\nb=[]\nwhile i+10:\n a[i]=b.pop()\n else:\n i=i+2\n else:\n b.append(a[i])\n i=i+1\n \nb.append(a[-1])\nprint(len(b))\nprint(*b)": 0.0, "n=int(input())\na=list(map(int,input().split()))\ni=1\nb=[]\nwhile i+10:\n a[i]=b.pop()\n else:\n i=i+1\n else:\n b.append(a[i])\n i=i+2\nb.append(a[-1])\nprint(len(b))\nprint(*b)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a sequence of positive integers a_1, a_2, ..., a_{n}. \n\n\n\nWhile possible, you perform the following operation: find a pair of equal consecutive elements. If there are more than one such pair, find the leftmost (with the smallest indices of elements). If the two integers are equal to x, delete both and insert a single integer x + 1 on their place. This way the number of elements in the sequence is decreased by 1 on each step. \n\n\n\nYou stop performing the operation when there is no pair of equal consecutive elements.\n\n\n\nFor example, if the initial sequence is [5, 2, 1, 1, 2, 2], then after the first operation you get [5, 2, 2, 2, 2], after the second \u2014 [5, 3, 2, 2], after the third \u2014 [5, 3, 3], and finally after the fourth you get [5, 4]. After that there are no equal consecutive elements left in the sequence, so you stop the process.\n\n\n\nDetermine the final sequence after you stop performing the operation.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer n (2 \u2264 n \u2264 2\u00b710^5) \u2014 the number of elements in the sequence.\n\n\n\nThe second line contains the sequence of integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print a single integer k \u2014 the number of elements in the sequence after you stop performing the operation. \n\n\n\nIn the second line print k integers\u00a0\u2014 the sequence after you stop performing the operation.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a list of positive integers, the adjacent integers will perform the float division. For example, [2,3,4] -> 2 / 3 / 4.\n\n\n\nHowever, you can add any number of parenthesis at any position to change the priority of operations. You should find out how to add parenthesis to get the maximum result, and return the corresponding expression in string format. Your expression should NOT contain redundant parenthesis.\n\n\n\nExample:\n\n\n\nInput: [1000,100,10,2]\n\nOutput: \"1000/(100/10/2)\"\n\nExplanation:\n\n1000/(100/10/2) = 1000/((100/10)/2) = 200\n\nHowever, the bold parenthesis in \"1000/((100/10)/2)\" are redundant, since they don't influence the operation priority. So you should return \"1000/(100/10/2)\". \n\n\n\nOther cases:\n\n1000/(100/10)/2 = 50\n\n1000/(100/(10/2)) = 50\n\n1000/100/10/2 = 0.5\n\n1000/100/(10/2) = 2\n\n\n\n\n\n\n\nNote:\n\n\n\nThe length of the input array is [1, 10].\n\nElements in the given array will be in range [2, 1000].\n\nThere is only one optimal division for each test case.", "responses": { "class Solution:\n def optimalDivision(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: str\n \"\"\"\n if(len(nums) == 0):\n return ''\n if(len(nums) == 1):\n return str(nums[0])\n if(len(nums) == 2):\n return str(nums[0]) + '/' + str(nums[1])\n res = str(nums[0]) + '/' + '('\n for i in range(1,len(nums)-1):\n res += str(nums[i])\n res += '/'\n res += str(nums[-1])\n res += ')'\n return res": 1.0, "class Solution:\n def optimalDivision(self, nums):\n if(len(nums) == 0):\n return ''\n if(len(nums) == 1):\n return str(nums[0])\n if(len(nums) == 2):\n return str(nums[0]) + '/' + str(nums[1])\n res = str(nums[0]) + '/' + '('\n for i in range(1,len(nums)-1):\n res += str(nums[i])\n res += '/'\n res += str(nums[-1])\n res += ')'\n return res": 0.0, "class Solution:\n def optimalDivision(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: str\n \"\"\"\n if len(nums) == 0):\n return ''\n if(len(nums) == 1):\n return str(nums[0])\n if(len(nums) == 2):\n return str(nums[0]) + '/' + str(nums[1])\n res = str(nums[0]) + '/' + '('\n for i in range(1,len(nums)-1):\n res += str(nums[i])\n res += '/'\n res += str(nums[-1])\n res += ')'\n return res": 0.0, "class Solution:\n def optimalDivision(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: str\n \"\"\"\n if(len(nums) == 0):\n return \n if(len(nums) == 1):\n return str(nums[0])\n if(len(nums) == 2):\n return str(nums[0]) + '/' + str(nums[1])\n res = str(nums[0]) + '/' + '('\n for i in range(1,len(nums)-1):\n res += str(nums[i])\n res += '/'\n res += str(nums[-1])\n res += ')'\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a list of positive integers, the adjacent integers will perform the float division. For example, [2,3,4] -> 2 / 3 / 4.\n\n\n\nHowever, you can add any number of parenthesis at any position to change the priority of operations. You should find out how to add parenthesis to get the maximum result, and return the corresponding expression in string format. Your expression should NOT contain redundant parenthesis.\n\n\n\nExample:\n\n\n\nInput: [1000,100,10,2]\n\nOutput: \"1000/(100/10/2)\"\n\nExplanation:\n\n1000/(100/10/2) = 1000/((100/10)/2) = 200\n\nHowever, the bold parenthesis in \"1000/((100/10)/2)\" are redundant, since they don't influence the operation priority. So you should return \"1000/(100/10/2)\". \n\n\n\nOther cases:\n\n1000/(100/10)/2 = 50\n\n1000/(100/(10/2)) = 50\n\n1000/100/10/2 = 0.5\n\n1000/100/(10/2) = 2\n\n\n\n\n\n\n\nNote:\n\n\n\nThe length of the input array is [1, 10].\n\nElements in the given array will be in range [2, 1000].\n\nThere is only one optimal division for each test case.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains of a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each testcase, output as pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n2\n\n2\n\n4\n\n\n\n-----Sample Output:-----\n\n2\n\n12\n\n012\n\n12\n\n2\n\n\n\n4\n\n34\n\n234\n\n1234\n\n01234\n\n1234\n\n234\n\n34\n\n4\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "import copy\nfor _ in range(int(input())):\n k=int(input())\n c=[]\n d=[]\n start=0\n while True:\n c=[]\n for i in range(start):\n c.append(\" \")\n for i in range(start,k+1):\n c.append(str(i))\n start+=1\n d.append(c)\n if start>k:\n break\n e=copy.copy(d[1:])\n d.reverse()\n d=d+e\n ##print(d)\n for i in range(len(d)):\n print(''.join(d[i]))": 1.0, "```python\nimport copy\nfor _ in range(int(inpt())):\n k=int(inpt())\n c=[]\n d=[]\n st=0\n while True:\n c=[]\n for i in range(st):\n c.append(\" \")\n for i in range(st,k+1):\n c.append(str(i))\n st+=1\n d.append(c)\n if st>k:\n break\n e=copy.copy(d[1:])\n d.reverse()\n d=d+e\n #print(d)\n for i in range(len(d)):\n print(''.join(d[i]))\n```": 0.0, "```python\nimport copy\nfor _ in range(input())):\n k=int(input())\n c=[]\n d=[]\n start=0\n while True:\n c=[]\n for i in range(start):\n c.add(\" \")\n for i in range(start,k+1):\n c.append(str(i))\n start+=1\n d.append(c)\n if start>k:\n break\n e=copy.copy(d[1:])\n d.reverse()\n d=d+e\n #print(d)\n for i in range(len(d)):\n print(''.join(d[i]))\n```": 0.0, "```python\nimport copy\nfor _ in range(int(input(0))):\n k=int(input())\n c=[]\n d=[]\n start=0\n while True:\n c=[]\n for i in range(start):\n c.append(\" \")\n for i in range(start,k+1):\n c.append(str(i))\n start+=1\n d.append(c)\n if start>k:\n break\n e=copy.copy(d[1:])\n d.revrse()\n d=d+e\n #print(d)\n for i in range(len(d)):\n print(''.join(d[i]))\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains of a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each testcase, output as pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n2\n\n2\n\n4\n\n\n\n-----Sample Output:-----\n\n2\n\n12\n\n012\n\n12\n\n2\n\n\n\n4\n\n34\n\n234\n\n1234\n\n01234\n\n1234\n\n234\n\n34\n\n4\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Polycarp and Vasiliy love simple logical games. Today they play a game with infinite chessboard and one pawn for each player. Polycarp and Vasiliy move in turns, Polycarp starts. In each turn Polycarp can move his pawn from cell (x, y) to (x - 1, y) or (x, y - 1). Vasiliy can move his pawn from (x, y) to one of cells: (x - 1, y), (x - 1, y - 1) and (x, y - 1). Both players are also allowed to skip move. \n\n\n\nThere are some additional restrictions \u2014 a player is forbidden to move his pawn to a cell with negative x-coordinate or y-coordinate or to the cell containing opponent's pawn The winner is the first person to reach cell (0, 0). \n\n\n\nYou are given the starting coordinates of both pawns. Determine who will win if both of them play optimally well.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integers: x_{p}, y_{p}, x_{v}, y_{v} (0 \u2264 x_{p}, y_{p}, x_{v}, y_{v} \u2264 10^5) \u2014 Polycarp's and Vasiliy's starting coordinates.\n\n\n\nIt is guaranteed that in the beginning the pawns are in different cells and none of them is in the cell (0, 0).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the name of the winner: \"Polycarp\" or \"Vasiliy\".", "responses": { "a, b, x, y = map(int, input().split())\nif a >= x:\n if b >= y:\n print('Vasiliy')\n else:\n z = y - b\n t = max(x - z, 0)\n if a - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')\nelse:\n if b <= y:\n print('Polycarp')\n else:\n z = x - a\n t = max(y - z, 0)\n if b - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')": 1.0, "a, b, x, y = map(int, input(.split())\nif a >= x:\n if b >= y:\n print('Vasiliy')\n else:\n z = y - b\n t = max(x - z, 0)\n if a - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')\nelse:\n if b <= y:\n print('Polycarp')\n else:\n z = x - a\n t = max(y - z, 0)\n if b - z <= t:\n print('Polycarp'\n else:\n print('Vasiliy')": 0.0, "a, b, x, y = map(int, input().split())\nif a >= x\n if b >= y:\n print('Vasiliy')\n else:\n z = y - b\n t = max(x - z, 0)\n if a - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')\nelse:\n if b <= y:\n print('Polycarp')\n else:\n z = x - a\n t = max(y - z, 0)\n if b - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')": 0.0, "a, b, x, y = map(int, input().split())\nif a >= x:\n if b >= y:\n print('Vasiliy')\n else:\n z = y - b\n t = max(x - z, 0)\n if a - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy'\nelse:\n if b <= y:\n print('Polycarp'\n else:\n z = x - a\n t = max(y - z, 0)\n if b - z <= t:\n print('Polycarp')\n else:\n print('Vasiliy')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarp and Vasiliy love simple logical games. Today they play a game with infinite chessboard and one pawn for each player. Polycarp and Vasiliy move in turns, Polycarp starts. In each turn Polycarp can move his pawn from cell (x, y) to (x - 1, y) or (x, y - 1). Vasiliy can move his pawn from (x, y) to one of cells: (x - 1, y), (x - 1, y - 1) and (x, y - 1). Both players are also allowed to skip move. \n\n\n\nThere are some additional restrictions \u2014 a player is forbidden to move his pawn to a cell with negative x-coordinate or y-coordinate or to the cell containing opponent's pawn The winner is the first person to reach cell (0, 0). \n\n\n\nYou are given the starting coordinates of both pawns. Determine who will win if both of them play optimally well.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integers: x_{p}, y_{p}, x_{v}, y_{v} (0 \u2264 x_{p}, y_{p}, x_{v}, y_{v} \u2264 10^5) \u2014 Polycarp's and Vasiliy's starting coordinates.\n\n\n\nIt is guaranteed that in the beginning the pawns are in different cells and none of them is in the cell (0, 0).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput the name of the winner: \"Polycarp\" or \"Vasiliy\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef likes problems which using some math. Now he asks you to solve next one. You have 4 integers, Chef wondering is there non-empty subset which has sum equals 0.\n\n\n\n-----Input-----\n\nThe first line of input contains T - number of test cases. \n\nEach of the next T lines containing four pairwise distinct integer numbers - a, b, c, d.\n\n\n\n-----Output-----\n\nFor each test case output \"Yes\", if possible to get 0 by choosing non-empty subset of {a, b, c, d} with sum equal 0, or \"No\" in another case.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 103\n\n- -106 \u2264 a, b, c, d \u2264 106 \n\n\n\n-----Example-----\n\nInput:\n\n3\n\n1 2 0 3\n\n1 2 4 -1\n\n1 2 3 4\n\n\n\nOutput:\n\nYes\n\nYes\n\nNo\n\n\n\n-----Explanation-----\n\nExample case 1. We can choose subset {0} \n\nExample case 2. We can choose subset {-1, 1}", "responses": { " \nt = int(input())\nwhile t:\n t-=1\n c=0\n ar=[int(i) for i in input().strip().split()]\n for i in range(1,16):\n b=bin(i)[2:].zfill(4)\n s=0\n for i in range(4):\n if b[i]=='1':\n s+=ar[i]\n \n if(s==0):\n c=1\n break\n \n print(\"Yes\" if c==1 else \"No\")": 1.0, "t = int(input())\nwhile t:\n t-=1\n c=0\n ar=[int(i) for i in input().strip().split()]\n for i in range(1,16):\n b=bin(i)[2:].zfill(4)\n s=0\n for j in range(4): # Bug: Using 'i' as the loop variable instead of 'j'\n if b[i]=='1':\n s+=ar[i]\n \n if(s==0):\n c=1\n break\n \n print(\"Yes\" if c==1 else \"No\")": 0.0, "t = int(input())\nwhile t:\n t-=1\n c=0\n ar=[int(i) for i in input().strip().split()]\n for i in range(1,16):\n b=bin(i)[2:].zfill(4)\n s=1 # Bug: Initializing 's' with the wrong value\n for i in range(4):\n if b[i]=='1':\n s*=ar[i] # Bug: Using multiplication instead of addition to calculate 's'\n \n if(s==0):\n c=1\n break\n \n print(\"Yes\" if c==1 else \"No\")": 0.0, "t = int(input())\nwhile t:\n t-=1\n c=0\n ar=[int(i) for i in input().strip().split()]\n for i in range(1,16):\n b=bin(i)[2:].zfill(4)\n s=0\n for i in range(4):\n if b[i]=='1':\n s+=ar[i]\n \n if(s!=0): # Bug: Using inequality check instead of equality check\n c=1\n break\n \n print(\"Yes\" if c==1 else \"No\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nChef likes problems which using some math. Now he asks you to solve next one. You have 4 integers, Chef wondering is there non-empty subset which has sum equals 0.\n\n\n\n-----Input-----\n\nThe first line of input contains T - number of test cases. \n\nEach of the next T lines containing four pairwise distinct integer numbers - a, b, c, d.\n\n\n\n-----Output-----\n\nFor each test case output \"Yes\", if possible to get 0 by choosing non-empty subset of {a, b, c, d} with sum equal 0, or \"No\" in another case.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 103\n\n- -106 \u2264 a, b, c, d \u2264 106 \n\n\n\n-----Example-----\n\nInput:\n\n3\n\n1 2 0 3\n\n1 2 4 -1\n\n1 2 3 4\n\n\n\nOutput:\n\nYes\n\nYes\n\nNo\n\n\n\n-----Explanation-----\n\nExample case 1. We can choose subset {0} \n\nExample case 2. We can choose subset {-1, 1}\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Chef has an array of N integers. He wants to play a special game. In this game he needs to make all the integers in the array greater than or equal to 0. \n\nChef can use two types of operations. The first type is to increase all the integers of the given array by 1, but it costs X coins. The operation of the second type is to add 1 to only one integer of the given array and to use this operation you need to pay 1 coin. You need to calculate the minimal cost to win this game (to make all integers greater than or equal to 0) \n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains an integer N denoting the number of elements in the given array. The second line contains N space-separated integers A1, A2, ..., AN denoting the given array. The third line contains number X - cost of the first type operation. \n\n\n\n\n\n-----Output-----\n\nFor each test case, output a single line containing minimal cost required to make all the integers greater than or equal to zero.\n\n\n\n-----Constraints-----\n\n\n\n- 1 \u2264 N \u2264 105\n\n- -109 \u2264 Ai \u2264 109 \n\n- 0 \u2264 X \u2264 109\n\n\n\n-----Example-----\n\nInput:\n\n3\n\n-1 -2 -3\n\n2\n\n\n\nOutput:\n\n5\n\n\n\n-----Explanation-----\n\nExample case 1: Use the first type operation twice and the second type once.", "responses": { "n=int(input())\na=list(map(int,input().split()))\nx=int(input())\nl=[]\nfor i in a:\n if i<0:\n l.append(-i)\nl.sort()\nm=len(l)\nans=0\nif l:\n if x>n:\n ans=sum(l)\n else:\n ans=sum(l[m-x:])\nprint(ans)\n ": 1.0, "n=int(input())\na=list(map(int,input().split()))\nx=int(input())\nl=[]\nfor i in a:\n if i>=0:\n l.append(-i)\nl.sort()\nm=len(l)\nans=0\nif l:\n if x>n:\n ans=sum(l)\n else:\n ans=sum(l[m-x:])\nprint(ans)": 0.0, "n=int(input())\na=list(map(int,input().split()))\nx=int(input())\nl=[]\nfor i in a:\n if i<0:\n l.append(i)\nl.sort()\nm=len(l)\nans=0\nif l:\n if x>n:\n ans=sum(l)\n else:\n ans=sum(l[m-x:])\nprint(ans)": 0.0, "n=int(input())\na=list(map(int,input().split()))\nx=int(input())\nl=[]\nfor i in a:\n if i<0:\n l.append(-i)\nl.sort()\nm=len(l)\nans=0\nif l:\n if x int:\n m = len(matrix)\n n = len(matrix[0])\n \n for i in range(1, m):\n for j in range(1, n):\n if not matrix[i][j]:\n continue\n if matrix[i][j-1] and matrix[i-1][j] and matrix[i-1][j-1]:\n matrix[i][j] = min(matrix[i][j-1], matrix[i-1][j], matrix[i-1][j-1]) + 1\n \n total = 0\n for row in matrix:\n total += sum(row)\n \n return total\n ": 1.0, "class Solution:\n def countSquares(matrix: List[List[int]]) -> int:\n m = len(matrix)\n n = len(matrix[0])\n \n for i in range(1, m):\n for j in range(1, n):\n if not matrix[i][j]:\n continue\n if matrix[i][j-1] + matrix[i-1][j] and matrix[i-1][j-1]:\n matrix[i][j] = min(matrix[i][j-1], matrix[i-1][j], matrix[i-1][j-1]) + 1\n \n total = 0\n for row in matrix:\n total += sum(row)\n \n return total": 0.0, "class Solution:\n def countSquares(self, matrix: List[List[int]]) -> int:\n m = len(matrix)\n n = len(matrix[0])\n \n for i in range(1, m):\n for j in range(1, n):\n if not matrix[i][j]:\n break\n if matrix[i][j-1] and matrix[i-1][j] and matrix[i-1][j-1]:\n matrix[i][j] = min(matrix[i][j-1], matrix[i-1][j], matrix[i-1][j-1]) + 1\n \n total = 0\n for row in matrix:\n total += sum(row)\n \n return total": 0.0, "class Solution:\n def countSquares(self, matrix: List[List[int]]) -> int:\n m = len(matrix)\n n = len(matrix[0])\n \n for i in range(1, m):\n for j in range(1, n):\n if not matrix[i][j]:\n continue\n if matrix[i][j-1] and matrix[i-1][j-1]:\n matrix[i][j] = min(matrix[i][j-1], matrix[i-1][j], matrix[i-1][j-1]) + 1\n \n total = 0\n for row in matrix:\n total += sum(row)\n \n return total": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a m * n matrix of ones and zeros, return how many square submatrices have all ones.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string S and a string T, find the minimum window in S which will contain all the characters in T in complexity O(n).\n\n\n\nExample:\n\n\n\n\n\nInput: S = \"ADOBECODEBANC\", T = \"ABC\"\n\nOutput: \"BANC\"\n\n\n\n\n\nNote:\n\n\n\n\n\n If there is no such window in S that covers all characters in T, return the empty string \"\".\n\n If there is such window, you are guaranteed that there will always be only one unique minimum window in S.", "responses": { "class Solution:\n def minWindow(self, s, t):\n \"\"\"\n :type s: str\n :type t: str\n :rtype: str\n \"\"\"\n left=-1\n right = 0\n result = \"\"\n totalMatch = 0\n d = {}\n for c in t:\n d[c] = d.get(c, 0) + 1\n \n for right in range(len(s)):\n c = s[right]\n d[c] = d.get(c, 0) - 1\n \n # good match\n if d[c] >=0:\n totalMatch +=1\n \n #over match \u53ef\u4ee5\u4e0d\u79fb\u52a8left\n #total match, need to advance left\n if totalMatch == len(t):\n totalMatch -= 1\n \n left +=1\n while d[s[left]]<0:\n d[s[left]] += 1\n left += 1\n \n # we dec the count here so that next round right need to match one more s[left], \n d[s[left]] += 1\n \n if result == \"\" or len(result) > right - left:\n result = s[left: right+1]\n \n return result": 1.0, "class Solution:\n def minWindow(self, s, t):\n left=-1\n right = 0\n result = \"\"\n totalMatch = 0\n d = {}\n for c in t:\n d[c] = d.get(c, 0) + 1\n \n for right in range(len(s)):\n c = s[right]\n d[c] = d.get(c, 0) - 1\n \n # good match\n if d[c] >=0:\n totalMatch +=1\n \n #over match \u53ef\u4ee5\u4e0d\u79fb\u52a8left\n #total match, need to advance left\n if totalMatch == len(t):\n totalMatch -= 1\n \n left +=1\n while d[s[left]]<0:\n d[s[left]] += 1\n left += 1\n \n # NO LONGER INCREMENTING THE COUNT HERE \n \n if result == \"\" or len(result) > right - left:\n result = s[left: right+1]\n \n return result": 0.0, "class Solution:\n def minWindow(self, s, t):\n left=-1\n right = 0\n result = \"\"\n totalMatch = 0\n d = {}\n for c in t:\n d[c] = d.get(c, 0) + 1\n \n for right in range(len(s)):\n c = s[right]\n d[c] = d.get(c, 0) - 1\n \n # good match\n if d[c] >=0:\n totalMatch +=1\n \n #over match \u53ef\u4ee5\u4e0d\u79fb\u52a8left\n #total match, need to advance left\n if totalMatch == len(t):\n totalMatch -= 1\n \n left +=1\n while d[s[left]]<0:\n d[s[left]] += 1\n # MISSING INCREMENT LEFT HERE\n # left += 1\n \n d[s[left]] += 1\n \n if result == \"\" or len(result) > right - left:\n result = s[left: right+1]\n \n return result": 0.0, "class Solution:\n def minWindow(self, s, t):\n left=-1\n right = 0\n result = \"\"\n totalMatch = 0\n d = {}\n for c in t:\n # FORGOT TO APPEND c TO DICT d\n d = d.get(c, 0) + 1\n \n for right in range(len(s)):\n c = s[right]\n d[c] = d.get(c, 0) - 1\n \n # good match\n if d[c] >=0:\n totalMatch +=1\n \n #over match \u53ef\u4ee5\u4e0d\u79fb\u52a8left\n #total match, need to advance left\n if totalMatch == len(t):\n totalMatch -= 1\n \n left +=1\n while d[s[left]]<0:\n d[s[left]] += 1\n left += 1\n \n d[s[left]] += 1\n \n if result == \"\" or len(result) > right - left:\n result = s[left: right+1]\n \n return result": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string S and a string T, find the minimum window in S which will contain all the characters in T in complexity O(n).\n\n\n\nExample:\n\n\n\n\n\nInput: S = \"ADOBECODEBANC\", T = \"ABC\"\n\nOutput: \"BANC\"\n\n\n\n\n\nNote:\n\n\n\n\n\n If there is no such window in S that covers all characters in T, return the empty string \"\".\n\n If there is such window, you are guaranteed that there will always be only one unique minimum window in S.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers arr and an integer target.\n\nYou have to find two non-overlapping sub-arrays of arr each with sum equal target. There can be multiple answers so you have to find an answer where the sum of the lengths of the two sub-arrays is minimum.\n\nReturn the minimum sum of the lengths of the two required sub-arrays, or return -1 if you cannot\u00a0find such two sub-arrays.", "responses": { "class Solution:\n def minSumOfLengths(self, arr: List[int], target: int) -> int:\n i, window, result = 0, 0, float('inf')\n premin = [float('inf')]*len(arr)\n for j, num in enumerate(arr):\n window += num\n while window > target:\n window -= arr[i]\n i+=1\n if window == target:\n curr = j - i + 1\n result = min(result, curr + premin[i-1])\n premin[j] = min(curr, premin[j-1])\n else:\n premin[j] = premin[j-1]\n return result if result < float('inf') else -1 \n \n \n ": 1.0, "class Solution:\n def minSumOfLengths(self, arr: List[int], target: int) -> int:\n i, window, result = 0, 0, float('inf')\n premin = [float('inf')]*len(arr)\n for j, num in enumerate(arr):\n window += num\n while window > target:\n window -= arr[i]\n i+=1\n if window == target:\n curr = j - i + 1\n result = min(result, curr + premin[i])\n premin[j] = min(curr, premin[j-1])\n else:\n premin[j] = premin[j-1]\n return result if result < float('inf') else -1": 0.0, "class Solution:\n def minSumOfLengths(self, arr: List[int], target: int) -> int:\n i, window, result = 0, 0, float('inf')\n premin = [float('inf')]*len(arr)\n for j, num in enumerate(arr):\n window += num\n while window > target:\n window -= arr[i]\n i+=1\n if window == target:\n curr = j - i\n result = min(result, curr + premin[i-1])\n premin[j] = min(curr, premin[j-1])\n else:\n premin[j] = premin[j-1]\n return result if result < float('inf') else -1": 0.0, "class Solution:\n def minSumOfLengths(self, arr: List[int], target: int) -> int:\n i, window, result = 0, 0, float('inf')\n premin = [float('inf')]*len(arr)\n for j, num in enumerate(arr):\n window += num\n while window > target:\n window -= arr[i]\n i+=1\n if window == target:\n curr = j - i + 1\n result = min(result, curr - premin[i-1])\n premin[j] = min(curr, premin[j-1])\n else:\n premin[j] = premin[j-1]\n return result if result < float('inf') else -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers arr and an integer target.\n\nYou have to find two non-overlapping sub-arrays of arr each with sum equal target. There can be multiple answers so you have to find an answer where the sum of the lengths of the two sub-arrays is minimum.\n\nReturn the minimum sum of the lengths of the two required sub-arrays, or return -1 if you cannot\u00a0find such two sub-arrays.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ehab is interested in the bitwise-xor operation and the special graphs. Mahmoud gave him a problem that combines both. He has a complete graph consisting of n vertices numbered from 0 to n - 1. For all 0 \u2264 u < v < n, vertex u and vertex v are connected with an undirected edge that has weight $u \\oplus v$ (where $\\oplus$ is the bitwise-xor operation). Can you find the weight of the minimum spanning tree of that graph?\n\n\n\nYou can read about complete graphs in https://en.wikipedia.org/wiki/Complete_graph\n\n\n\nYou can read about the minimum spanning tree in https://en.wikipedia.org/wiki/Minimum_spanning_tree\n\n\n\nThe weight of the minimum spanning tree is the sum of the weights on the edges included in it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains an integer n (2 \u2264 n \u2264 10^12), the number of vertices in the graph.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line contains an integer x, the weight of the graph's minimum spanning tree.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n\n\nOutput\n\n4\n\n\n\n\n\n-----Note-----\n\n\n\nIn the first sample: [Image] The weight of the minimum spanning tree is 1+2+1=4.", "responses": { "a = [0]\ncur = 1\nwhile(cur < 10 ** 13):\n x = a[-1]\n a.append(x * 2 + cur)\n cur *= 2\nn = int(input())\nn -= 1\nans = 0\ni = 1\ncur = 1\nwhile(n > 0):\n x = n % 2\n n = n // 2\n if(x > 0):\n ans += cur + a[i - 1]\n i += 1\n cur *= 2\n \nprint(ans)": 1.0, "a = [0]\ncur = 1\nwhile(cur < 10 ** 13):\n x = a[-1]\n a.append(x * 2 + cur)\n cur *= 2\nn = int(input())\nn -= 1\nans = 0\ni = 1\ncur = 1\nwhile(n > 0):\n x = n % 2\n n = n // 2\n if(x > 0):\n ans += cur ** a[i - 1] # Bug: Using exponentiation instead of addition\n i += 1\n cur *= 2\n \nprint(ans)": 0.0, "a = [0]\ncur = 1\nwhile(cur < 10 ** 13):\n x = a[-1]\n a.append(x * 2 + cur)\n cur *= 2\nn = int(input())\nn -= 1\nans = 0\ni = 1\ncur = 1\nwhile(n > 0):\n x = n % 2\n n = n // 2\n if(x > 0):\n ans += cur + a[i + 1] # Bug: Accessing out-of-bounds index of 'a' list\n i += 1\n cur *= 2\n \nprint(ans)": 0.0, "a = [0]\ncur = 1\nwhile(cur < 10 ** 13):\n x = a[-1]\n a.append(x * 2 + cur)\n cur *= 2\nn = int(input())\nn -= 1\nans = 0\ni = 1\ncur = 1\nwhile(n >= 0): # Bug: Using greater than or equal to instead of greater than\n x = n % 2\n n = n // 2\n if(x > 0):\n ans += cur + a[i - 1]\n i += 1\n cur *= 2\n \nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEhab is interested in the bitwise-xor operation and the special graphs. Mahmoud gave him a problem that combines both. He has a complete graph consisting of n vertices numbered from 0 to n - 1. For all 0 \u2264 u < v < n, vertex u and vertex v are connected with an undirected edge that has weight $u \\oplus v$ (where $\\oplus$ is the bitwise-xor operation). Can you find the weight of the minimum spanning tree of that graph?\n\n\n\nYou can read about complete graphs in https://en.wikipedia.org/wiki/Complete_graph\n\n\n\nYou can read about the minimum spanning tree in https://en.wikipedia.org/wiki/Minimum_spanning_tree\n\n\n\nThe weight of the minimum spanning tree is the sum of the weights on the edges included in it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains an integer n (2 \u2264 n \u2264 10^12), the number of vertices in the graph.\n\n\n\n\n\n-----Output-----\n\n\n\nThe only line contains an integer x, the weight of the graph's minimum spanning tree.\n\n\n\n\n\n-----Example-----\n\nInput\n\n4\n\n\n\nOutput\n\n4\n\n\n\n\n\n-----Note-----\n\n\n\nIn the first sample: [Image] The weight of the minimum spanning tree is 1+2+1=4.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Once little Vasya read an article in a magazine on how to make beautiful handmade garland from colored paper. Vasya immediately went to the store and bought n colored sheets of paper, the area of each sheet is 1 square meter.\n\n\n\nThe garland must consist of exactly m pieces of colored paper of arbitrary area, each piece should be of a certain color. To make the garland, Vasya can arbitrarily cut his existing colored sheets into pieces. Vasya is not obliged to use all the sheets to make the garland.\n\n\n\nVasya wants the garland to be as attractive as possible, so he wants to maximize the total area of \u200b\u200bm pieces of paper in the garland. Calculate what the maximum total area of \u200b\u200bthe pieces of paper in the garland Vasya can get.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a non-empty sequence of n (1 \u2264 n \u2264 1000) small English letters (\"a\"...\"z\"). Each letter means that Vasya has a sheet of paper of the corresponding color.\n\n\n\nThe second line contains a non-empty sequence of m (1 \u2264 m \u2264 1000) small English letters that correspond to the colors of the pieces of paper in the garland that Vasya wants to make.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an integer that is the maximum possible total area of the pieces of paper in the garland Vasya wants to get or -1, if it is impossible to make the garland from the sheets he's got. It is guaranteed that the answer is always an integer.", "responses": { "n = input().rstrip()\nm = input().rstrip()\ncnt1 = [0] * 26\ncnt2 = [0] * 26\nfor i in n:\n cnt1[ord(i) - ord(\"a\")] += 1\nfor i in m:\n cnt2[ord(i) - ord(\"a\")] += 1\nres = 0\nfor i in range(26):\n a1 = cnt1[i]\n a2 = cnt2[i]\n if a1 == 0 and a2 != 0:\n print(-1)\n return\n res += min(a1, a2)\nprint(res)": 1.0, "n = input().rstrip()\nm = input().rstrip()\ncnt1 = [0] * 26\ncnt2 = [0] * 26\nfor i in n:\n cnt1[ord(i) - ord(\"a\")] += 1\nfor i in m:\n cnt2[ord(i) - ord(\"a\")] += 1\nres = 0\nfor i in range(26):\n a1 = cnt1[i]\n a2 = cnt2[i]\n if a1 == 0 or a2 != 0: # Changed \"and\" to \"or\" here\n print(-1)\n return\n res += min(a1, a2)\nprint(res)": 0.0, "n = input().rstrip()\nm = input().rstrip()\ncnt1 = [0] * 26\ncnt2 = [0] * 26\nfor i in n:\n cnt1[ord(i) - ord(\"a\")] -= 1 # Changed \"+\" to \"-\"\nfor i in m:\n cnt2[ord(i) - ord(\"a\")] += 1\nres = 0\nfor i in range(26):\n a1 = cnt1[i]\n a2 = cnt2[i]\n if a1 == 0 and a2 != 0:\n print(-1)\n return\n res += min(a1, a2)\nprint(res)": 0.0, "n = input().rstrip()\nm = input().rstrip()\ncnt1 = [0] * 26\ncnt2 = [0] * 26\nfor i in n:\n cnt1[ord(i) - ord(\"a\")] += 1\nfor i in m:\n cnt2[ord(i) - ord(\"a\")] += 1\nres = 0\nfor i in range(27): # Changed 26 to 27 here\n a1 = cnt1[i]\n a2 = cnt2[i]\n if a1 == 0 and a2 != 0:\n print(-1)\n return\n res += min(a1, a2)\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOnce little Vasya read an article in a magazine on how to make beautiful handmade garland from colored paper. Vasya immediately went to the store and bought n colored sheets of paper, the area of each sheet is 1 square meter.\n\n\n\nThe garland must consist of exactly m pieces of colored paper of arbitrary area, each piece should be of a certain color. To make the garland, Vasya can arbitrarily cut his existing colored sheets into pieces. Vasya is not obliged to use all the sheets to make the garland.\n\n\n\nVasya wants the garland to be as attractive as possible, so he wants to maximize the total area of \u200b\u200bm pieces of paper in the garland. Calculate what the maximum total area of \u200b\u200bthe pieces of paper in the garland Vasya can get.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a non-empty sequence of n (1 \u2264 n \u2264 1000) small English letters (\"a\"...\"z\"). Each letter means that Vasya has a sheet of paper of the corresponding color.\n\n\n\nThe second line contains a non-empty sequence of m (1 \u2264 m \u2264 1000) small English letters that correspond to the colors of the pieces of paper in the garland that Vasya wants to make.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an integer that is the maximum possible total area of the pieces of paper in the garland Vasya wants to get or -1, if it is impossible to make the garland from the sheets he's got. It is guaranteed that the answer is always an integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Patlu has recently got a new problem based on Pallindromes. A Pallindrome is a number that is same from front and back, example $121$ is pallindrome but $123$ is not . He wants to calculate sum of all $N$ digit number which are Pallindromic in nature and divisible by $9$ and does not contain any zero in their decimal representation. As the answer can be very large so print the sum modulo $10^9 + 7$.\n\n\n\n-----Input:-----\n\n- First line of input contain $T$, number of testcases. Then the testcases follow.\n\n- Each testcase contains single line of input , one integer $N$.\n\n\n\n-----Output:-----\n\n- For each testcase, output in a single line answer having $N$ digits pallindromic string.\n\n\n\n-----Constraints-----\n\n- $1\\leq T \\leq 100$\n\n- $1\\leq N \\leq 10^5$\n\n\n\n-----Sample Input:-----\n\n2\n\n1\n\n2\n\n\n\n-----Sample Output:-----\n\n9\n\n99", "responses": { "def getsum(N):\n\tif N==1:\n\t\treturn 9\n\tif N==2:\n\t\treturn 99\n\ts = \"\"\n\tfor i in range(0,N):\n\t\ts = s+'5'\n\ts = int(s)\n\tif N%2==0:\n\t\ts = s*pow(9,N//2-1)\n\telse:\n\t\ts = s*pow(9,N//2)\n\treturn s%(pow(10,9)+7)\ndef main():\n\tt = int(input())\n\tfor _ in range(0,t):\n\t\tN = int(input())\n\t\tresult = getsum(N)\n\t\tprint(result)\ndef __starting_point():\n\tmain()\n__starting_point()": 1.0, "```\ndef getsum(N):\n\tif N==1:\n\t\treturn 9\n\tif N==2:\n\t\treturn 99\n\ts = \"\"\n\tfor i in range(0,N):\n\t\ts = s+'0'\n\ts = int(s)\n\tif N%2==0:\n\t\ts = s*pow(9,N//2-1)\n\telse:\n\t\ts = s*pow(9,N//2)\n\treturn s%(pow(10,9)+7)\ndef main():\n\tt = int(input())\n\tfor _ in range(0,t):\n\t\tN = int(input())\n\t\tresult = getsum(N)\n\t\tprint(result)\ndef __starting_point():\n\tmain()\n__starting_point()\n```": 0.0, "```\ndef getsum(N):\n\tif N==1:\n\t\treturn 9\n\tif N==2:\n\t\treturn 99\n\ts = \"\"\n\tfor i in range(0,N):\n\t\ts = s+'5'\n\ts = int(s)\n\tif N%2==0:\n\t\ts = s*pow(9,N//2)\n\telse:\n\t\ts = s*pow(9,N//2)\n\treturn s%(pow(10,9)+7)\ndef main():\n\tt = int(input())\n\tfor _ in range(0,t):\n\t\tN = int(input())\n\t\tresult = getsum(N)\n\t\tprint(result)\ndef __starting_point():\n\tmain()\n__starting_point()\n```": 0.0, "```\ndef getsum(N):\n\tif N==1:\n\t\treturn 9\n\tif N==2:\n\t\treturn 99\n\ts = \"\"\n\tfor i in range(0,N):\n\t\ts = s+'5'\n\ts = int(s)\n\tif N%2==0:\n\t\ts = s*pow(9,(N//2)-1)\n\telse:\n\t\ts = s*pow(9,N//2)\n\treturn s%(pow(10,9)+7)\ndef main():\n\tt = int(input())\n\tfor _ in range(0,t):\n\t\tN = int(input())\n\t\tresult = getsum(N)\n\t\tprint(result)\ndef __starting_point():\n\tmain()\n__starting_point()\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPatlu has recently got a new problem based on Pallindromes. A Pallindrome is a number that is same from front and back, example $121$ is pallindrome but $123$ is not . He wants to calculate sum of all $N$ digit number which are Pallindromic in nature and divisible by $9$ and does not contain any zero in their decimal representation. As the answer can be very large so print the sum modulo $10^9 + 7$.\n\n\n\n-----Input:-----\n\n- First line of input contain $T$, number of testcases. Then the testcases follow.\n\n- Each testcase contains single line of input , one integer $N$.\n\n\n\n-----Output:-----\n\n- For each testcase, output in a single line answer having $N$ digits pallindromic string.\n\n\n\n-----Constraints-----\n\n- $1\\leq T \\leq 100$\n\n- $1\\leq N \\leq 10^5$\n\n\n\n-----Sample Input:-----\n\n2\n\n1\n\n2\n\n\n\n-----Sample Output:-----\n\n9\n\n99\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We have N integers. The i-th integer is A_i.\n\nFind \\sum_{i=1}^{N-1}\\sum_{j=i+1}^{N} (A_i \\mbox{ XOR } A_j), modulo (10^9+7).What is \\mbox{ XOR }?\n\n\n\nThe XOR of integers A and B, A \\mbox{ XOR } B, is defined as follows:\n\n\n\n - When A \\mbox{ XOR } B is written in base two, the digit in the 2^k's place (k \\geq 0) is 1 if either A or B, but not both, has 1 in the 2^k's place, and 0 otherwise.\n\nFor example, 3 \\mbox{ XOR } 5 = 6. (In base two: 011 \\mbox{ XOR } 101 = 110.)\n\n\n\n\n\n-----Constraints-----\n\n - 2 \\leq N \\leq 3 \\times 10^5\n\n - 0 \\leq A_i < 2^{60}\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the value \\sum_{i=1}^{N-1}\\sum_{j=i+1}^{N} (A_i \\mbox{ XOR } A_j), modulo (10^9+7).\n\n\n\n-----Sample Input-----\n\n3\n\n1 2 3\n\n\n\n-----Sample Output-----\n\n6\n\n\n\nWe have (1\\mbox{ XOR } 2)+(1\\mbox{ XOR } 3)+(2\\mbox{ XOR } 3)=3+2+1=6.", "responses": { "def main():\n N=int(input())\n A=list(map(int,input().split()))\n mod=10**9+7\n ans=0\n for i in range(60):\n a=0\n for x in A:\n if x>>i&1:\n a+=1\n ans+=a*(N-a)*pow(2,i,mod)\n ans%=mod\n print(ans)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n N=int(input())\n A=list(map(int,input().split()))\n mod=10**9+7\n ans=0\n for i in range(60):\n a=0\n for x in A:\n if x>>i&1:\n a+=1\n ans+=a*(N-a)*pow(2,i,mod)\n ans%=mod\n print(ans)\ndef __starting_point():\n main()\n__starting-point()": 0.0, "def main():\n N=int(input())\n A=list(map(int,input().split()))\n mod=10**9+7\n ans=0\n for i in range(60):\n a=0\n for x in A:\n if x>>i&1:\n a+=1\n ans+=a*(N-a)*pow(2,i,mod)\n ans%=mod\n print(ans)\ndef __start_point():\n main()\n__start_point()": 0.0, "def main():\n N=int(input())\n A=list(map(int,input().split()))\n mod=10**9+7\n ans=0\n for i in range(60):\n a=0\n for x in A:\n if x>>i&1:\n a+=1\n ans+=a*(N-a)*pow(2,i,mod)\n ans%=mod\n print(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe have N integers. The i-th integer is A_i.\n\nFind \\sum_{i=1}^{N-1}\\sum_{j=i+1}^{N} (A_i \\mbox{ XOR } A_j), modulo (10^9+7).What is \\mbox{ XOR }?\n\n\n\nThe XOR of integers A and B, A \\mbox{ XOR } B, is defined as follows:\n\n\n\n - When A \\mbox{ XOR } B is written in base two, the digit in the 2^k's place (k \\geq 0) is 1 if either A or B, but not both, has 1 in the 2^k's place, and 0 otherwise.\n\nFor example, 3 \\mbox{ XOR } 5 = 6. (In base two: 011 \\mbox{ XOR } 101 = 110.)\n\n\n\n\n\n-----Constraints-----\n\n - 2 \\leq N \\leq 3 \\times 10^5\n\n - 0 \\leq A_i < 2^{60}\n\n - All values in input are integers.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nA_1 A_2 ... A_N\n\n\n\n-----Output-----\n\nPrint the value \\sum_{i=1}^{N-1}\\sum_{j=i+1}^{N} (A_i \\mbox{ XOR } A_j), modulo (10^9+7).\n\n\n\n-----Sample Input-----\n\n3\n\n1 2 3\n\n\n\n-----Sample Output-----\n\n6\n\n\n\nWe have (1\\mbox{ XOR } 2)+(1\\mbox{ XOR } 3)+(2\\mbox{ XOR } 3)=3+2+1=6.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "k kids seem to have visited your home for the festival. It seems like the kids\n\nhad all been fighting with each other, so you decided to keep them as far as\n\npossible from each other. You had placed n chairs on the positive number line,\n\neach at position x i , 1 \u2264 i \u2264 n. You can make the kids sit in any of the chairs.\n\nNow you want to know the largest possible minimum distance between each kid.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains two lines. First line contains two space separated integers n and k. Second line contains n space separated values, x1, x2, x3, \u2026 ,xn.\n\n\n\n-----Output:-----\n\nFor each test case print the largest possible minimum distance.\n\n\n\n-----Sample Input:-----\n\n1\n\n\n\n2 2\n\n\n\n1 2 \n\n\n\n-----Sample Output:-----\n\n1 \n\n\n\n-----Constraints-----\n\n- $2 \\leq n \\leq 100000$\n\n- $0 \\leq xi \\leq 10^9$\n\n- $k \\leq n $", "responses": { "import sys;input = sys.stdin.readline\r\ninp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]\r\n\r\ndef check(mid):\r\n pos = x[0]\r\n ct = 1\r\n for i in range(1,n):\r\n if x[i]-pos >= mid:\r\n pos = x[i]\r\n ct += 1\r\n if ct == k:\r\n return True\r\n return False\r\n\r\nfor _ in range(inp()):\r\n n,k = ip()\r\n x = ip()\r\n x.sort()\r\n ans = -1\r\n l,r = 1,x[-1]\r\n while l < r:\r\n mid = (l+r)//2\r\n if check(mid):\r\n ans = max(ans,mid)\r\n l = mid +1\r\n else:\r\n r = mid\r\n print(ans)\r\n \r\n \r\n \r\n \r": 1.0, "import sys;input = sys.stdin.readline\ninp,ip = lama bkok:int(input()),lambda :[int(w) for w in input().split()]\n\ndef check(mid):\n pos = x[0]\n ct = 1\n for i in range(1,n-1):\n if x[i]-pos >= mid:\n pos = x[i]\n ct += 1\n if ct == k:\n return True\n return False\n\nfor _ in range(inp()):\n nm,km = ip()\n x = ip()\n x.sort()\n ans = -1\n l,r = 1,x[-1]\n while l < r:\n mid = (l+r)//2\n if check(mid):\n ans = max(ans,mid)\n l = mid +1\n else:\n r = mid\n printf(ans)": 0.0, "import sys;input = sys.stdin.readline\ninply = lama dkw:int(input()),lambda :[int(w) for w in input().split()]\n\ndef check(mid):\n pos = x[0]\n ct = 1\n for i in range(1,n-1):\n if x[i]-pos >= mid:\n pos = x[i]\n ct += 1\n if ct == k:\n return True\n return False\n\nfor _ in range(inply()):\n n,k = ip()\n x = ip()\n x.sort()\n ans = -1\n l,r = 1,x[-1]\n while l < r:\n mid = (l+r)//2\n if check(mid):\n ans = max(ans,mid)\n l = mid +1\n else:\n r = mid\n print(ans)": 0.0, "import sys;input = sys.stdin.readline\nanne,ben = lambda :int(input()),lambda :[int(w) for w in input().split()]\n\ndef check(mid):\n pos = x[0]\n ct = 1\n for i in range(1,n-1):\n if x[i]-pos >= mid:\n pos = x[i]\n ct += 1\n if ct == k:\n return True\n return False\n\nfor _ in range(inp()):\n n,k = ben()\n x = ben()\n x.sort()\n ans = -1\n l,r = 1,x[-1]\n while l < r:\n mid = (l+r)//2\n if check(mid):\n ans = max(ans,mid)\n l = mid +1\n else:\n r = mid\n print(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nk kids seem to have visited your home for the festival. It seems like the kids\n\nhad all been fighting with each other, so you decided to keep them as far as\n\npossible from each other. You had placed n chairs on the positive number line,\n\neach at position x i , 1 \u2264 i \u2264 n. You can make the kids sit in any of the chairs.\n\nNow you want to know the largest possible minimum distance between each kid.\n\n\n\n-----Input:-----\n\n- First line will contain $T$, number of testcases. Then the testcases follow. \n\n- Each testcase contains two lines. First line contains two space separated integers n and k. Second line contains n space separated values, x1, x2, x3, \u2026 ,xn.\n\n\n\n-----Output:-----\n\nFor each test case print the largest possible minimum distance.\n\n\n\n-----Sample Input:-----\n\n1\n\n\n\n2 2\n\n\n\n1 2 \n\n\n\n-----Sample Output:-----\n\n1 \n\n\n\n-----Constraints-----\n\n- $2 \\leq n \\leq 100000$\n\n- $0 \\leq xi \\leq 10^9$\n\n- $k \\leq n $\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Ayrat has number n, represented as it's prime factorization p_{i} of size m, i.e. n = p_1\u00b7p_2\u00b7...\u00b7p_{m}. Ayrat got secret information that that the product of all divisors of n taken modulo 10^9 + 7 is the password to the secret data base. Now he wants to calculate this value.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer m (1 \u2264 m \u2264 200 000)\u00a0\u2014 the number of primes in factorization of n. \n\n\n\nThe second line contains m primes numbers p_{i} (2 \u2264 p_{i} \u2264 200 000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2014 the product of all divisors of n modulo 10^9 + 7.", "responses": { "import functools, operator\nm = int(input())\np = [int(x) for x in input().split()]\nP = {}\nn = 1\nfor i in p:\n P[i] = P.get(i, 0) + 1\n n = n * i % 1000000007\ndv = functools.reduce(operator.mul, (l + 1 for l in list(P.values())))\nprod = 0;\nif dv & 1:\n #prod = pow(int(n**0.5), dv, 1000000007)\n prod = pow(int(functools.reduce(operator.mul, (pow(p,i//2,1000000007) for p,i in list(P.items())))), dv, 1000000007)\n #prod = pow(int(n**0.5), dv, 1000000007);\nelse:\n #prod = pow(n, dv//2, 1000000007)\n #prod = pow(functools.reduce(operator.mul, p), dv//2, 1000000007)\n prod = pow(n, dv//2, 1000000007)\nprint(prod % 1000000007)": 1.0, "```python\nimport functools, operator\nm = int(input())\np = [int(x) for x in input().split()]\nP = {}\nn = 1\nfor i in p:\n P[i] = P.get(i, 1) + 1\n n = n * i % 1000000007\ndv = functools.reduce(operator.mul, (l + 1 for l in list(P.values())))\nprod = 0;\nif dv & 1:\n prod = pow(int(functools.reduce(operator.mul, (pow(p,i//2,1000000007) for p,i in list(P.items())))), dv, 1000000007)\nelse:\n prod = pow(n, dv//2, 1000000007)\nprint(prod % 1000000007)\n```": 0.0, "```python\nimport functools, operator\nm = int(input())\np = [int(x) for x in input().split()]\nP = {}\nn = 1\nfor i in p:\n P[i] = P.get(i, 0) + 2\n n = n * i % 1000000007\ndv = functools.reduce(operator.mul, (l + 1 for l in list(P.values())))\nprod = 0;\nif dv & 1:\n prod = pow(int(functools.reduce(operator.mul, (pow(p,i//2,1000000007) for p,i in list(P.items())))), dv, 1000000007)\nelse:\n prod = pow(n, dv//2, 1000000007)\nprint(prod % 1000000007)\n```": 0.0, "```python\nimport functools, operator\nm = int(input())\np = [int(x) for x in input().split()]\nP = {}\nn = 1\nfor i in p:\n P[i] = P.get(i, 0) + 1\n n = n * i % 1000000007\ndv = functools.reduce(operator.add, (l + 1 for l in list(P.values())))\nprod = 0;\nif dv & 1:\n prod = pow(int(functools.reduce(operator.mul, (pow(p,i//2,1000000007) for p,i in list(P.items())))), dv, 1000000007)\nelse:\n prod = pow(n, dv//2, 1000000007)\nprint(prod % 1000000007)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAyrat has number n, represented as it's prime factorization p_{i} of size m, i.e. n = p_1\u00b7p_2\u00b7...\u00b7p_{m}. Ayrat got secret information that that the product of all divisors of n taken modulo 10^9 + 7 is the password to the secret data base. Now he wants to calculate this value.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains a single integer m (1 \u2264 m \u2264 200 000)\u00a0\u2014 the number of primes in factorization of n. \n\n\n\nThe second line contains m primes numbers p_{i} (2 \u2264 p_{i} \u2264 200 000).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer\u00a0\u2014 the product of all divisors of n modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of non-negative integers, you are initially positioned at the first index of the array.\n\n\n\nEach element in the array represents your maximum jump length at that position.\n\n\n\nYour goal is to reach the last index in the minimum number of jumps.\n\n\n\nExample:\n\n\n\n\n\nInput: [2,3,1,1,4]\n\nOutput: 2\n\nExplanation: The minimum number of jumps to reach the last index is 2.\n\n Jump 1 step from index 0 to 1, then 3 steps to the last index.\n\n\n\nNote:\n\n\n\nYou can assume that you can always reach the last index.", "responses": { "class Solution:\n def jump(self,nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 1:\n return 0\n else:\n step = 0\n pos = 0\n while pos != len(nums) - 1:\n bestStep = -1\n bestValue = -1\n for i in range(nums[pos], 0, -1):\n if len(nums) - 1 == pos + i:\n bestStep = i\n break\n if (pos + i < len(nums) and nums[pos + i] != 0 and nums[pos + i] + i > bestValue):\n bestStep = i\n bestValue = nums[pos + i] + i\n print(bestStep)\n pos += bestStep \n step += 1\n \n return step\n \n ": 1.0, "class Solution:\n def jump(self,nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 1:\n return 0\n else:\n step = 0\n pos = 0\n while pos != len(nums) - 1:\n bestStep = -1\n bestValue = -1\n for i in range(nums[pos], 0, -1):\n if len(nums) - 1 == pos + i:\n bestStep = i\n break\n if (pos + i < len(nums) and nums[pos + i] != 0 and nums[pos + i] + i > bestValue):\n bestStep = i\n bestValue = nums[pos + i] + i\n print(bestStep)\n pos += bestStep - 1\n step += 1\n \n return step": 0.0, "class Solution:\n def jump(self,nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 1:\n return 0\n else:\n step = 0\n pos = 0\n while pos != len(nums) - 1:\n bestStep = -1\n bestValue = -1\n for i in range(nums[pos], -1, -1):\n if len(nums) - 1 == pos + i:\n bestStep = i\n break\n if (pos + i < len(nums) and nums[pos + i] != 0 and nums[pos + i] + i > bestValue):\n bestStep = i\n bestValue = nums[pos + i] + i\n print(bestStep)\n pos += bestStep\n step += 1\n \n return step": 0.0, "class Solution:\n def jump(self,nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n if len(nums) == 1:\n return 0\n else:\n step = 0\n pos = 0\n while pos != len(nums):\n bestStep = -1\n bestValue = -1\n for i in range(nums[pos], 0, -1):\n if len(nums) - 1 == pos + i:\n bestStep = i\n break\n if (pos + i < len(nums) and nums[pos + i] != 0 and nums[pos + i] + i > bestValue):\n bestStep = i\n bestValue = nums[pos + i] + i\n print(bestStep)\n pos += bestStep\n step += 1\n \n return step": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of non-negative integers, you are initially positioned at the first index of the array.\n\n\n\nEach element in the array represents your maximum jump length at that position.\n\n\n\nYour goal is to reach the last index in the minimum number of jumps.\n\n\n\nExample:\n\n\n\n\n\nInput: [2,3,1,1,4]\n\nOutput: 2\n\nExplanation: The minimum number of jumps to reach the last index is 2.\n\n Jump 1 step from index 0 to 1, then 3 steps to the last index.\n\n\n\nNote:\n\n\n\nYou can assume that you can always reach the last index.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef was busy in solving algebra, he found some interesting results, that there are many numbers which can be formed by sum of some numbers which are prime. Chef wrote those numbers in dairy. Cheffina came and saw what the chef was doing. Cheffina immediately closed chef's dairy and for testing chef's memory, she starts asking numbers and chef needs to answer wheater given number N can be formed by the sum of K prime numbers if it yes then print 1 else print 0. \n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, two integers $N, K$.\n\n\n\n-----Output:-----\n\nFor each test case, output in a single line answer as 1 or 0.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10^5$\n\n- $2 \\leq N \\leq 10^5$\n\n- $1 \\leq K \\leq 10^5$\n\n\n\n-----Sample Input:-----\n\n2\n\n12 2\n\n11 2\n\n\n\n-----Sample Output:-----\n\n1\n\n0", "responses": { "from math import sqrt\ndef isprime(n):\n if (n % 2 == 0 and n > 2) or n == 1: return 0\n else:\n s = int(sqrt(n)) + 1\n for i in range(3, s, 2):\n if n % i == 0:\n return 0\n return 1\ndef find(N, K): \n if (N < 2 * K): \n return 0\n if (K == 1): \n return isprime(N) \n if (K == 2): \n if (N % 2 == 0): \n return 1\n return isprime(N - 2); \n return 1\nfor _ in range(int(input())):\n n, k = list(map(int, input().split()))\n print(find(n, k))": 1.0, "from math import sqrt\ndef isprime(n):\n if (n % 2 == 0 or n > 2) or n == 1: return 0\n else:\n s = int(sqrt(n)) + 1\n for i in range(3, s, 2):\n if n % i == 0:\n return 0\n return 1\ndef find(N, K): \n if (N < 2 * K): \n return 0\n if (K == 1): \n return isprime(N) \n if (K == 2): \n if (N % 2 == 0): \n return 1\n return isprime(N - 2); \n return 1\nfor _ in range(int(input())):\n n, k = list(map(int, input().split()))\n print(find(n, k))": 0.0, "from math import sqrt\ndef isprime(n):\n if (n % 2 == 0 and n > 2) or n == -1: return 0\n else:\n s = int(sqrt(n)) + 1\n for i in range(3, s, 2):\n if n % i == 0:\n return 0\n return 1\ndef find(N, K): \n if (N < 2 * K): \n return 0\n if (K == 1): \n return isprime(N) \n if (K == 2): \n if (N % 2 == 0): \n return 1\n return isprime(N - 2); \n return 1\nfor _ in range(int(input())):\n n, k = list(map(int, input().split()))\n print(find(n, k))": 0.0, "from math import sqrt\ndef isprime(n):\n if (n % 2 == 0 and n > 2) or n == 1: return 0\n else:\n s = int(sqrt(n)) + 1\n for i in range(3, s, -2):\n if n % i == 0:\n return 0\n return 1\ndef find(N, K): \n if (N < 2 * K): \n return 0\n if (K == 1): \n return isprime(N) \n if (K == 2): \n if (N % 2 == 0): \n return 1\n return isprime(N - 2); \n return 1\nfor _ in range(int(input())):\n n, k = list(map(int, input().split()))\n print(find(n, k))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef was busy in solving algebra, he found some interesting results, that there are many numbers which can be formed by sum of some numbers which are prime. Chef wrote those numbers in dairy. Cheffina came and saw what the chef was doing. Cheffina immediately closed chef's dairy and for testing chef's memory, she starts asking numbers and chef needs to answer wheater given number N can be formed by the sum of K prime numbers if it yes then print 1 else print 0. \n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, two integers $N, K$.\n\n\n\n-----Output:-----\n\nFor each test case, output in a single line answer as 1 or 0.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10^5$\n\n- $2 \\leq N \\leq 10^5$\n\n- $1 \\leq K \\leq 10^5$\n\n\n\n-----Sample Input:-----\n\n2\n\n12 2\n\n11 2\n\n\n\n-----Sample Output:-----\n\n1\n\n0\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We are given a list of (axis-aligned)\u00a0rectangles.\u00a0 Each\u00a0rectangle[i] = [x1, y1, x2, y2]\u00a0, where (x1, y1) are the coordinates of the bottom-left corner, and (x2, y2) are the coordinates of the top-right corner of the ith rectangle.\n\nFind the total area covered by all rectangles in the plane.\u00a0 Since the answer\u00a0may be too large, return it modulo 10^9 + 7.", "responses": { "class Solution:\n def rectangleArea(self, rectangles: List[List[int]]) -> int:\n \n def getArea(width):\n res = 0\n prev_low = 0\n for low, high in intervals:\n low = max(prev_low, low)\n if high > low:\n res += (high - low)*width\n prev_low = high\n return res\n MOD = 10**9 + 7\n # convert list of rectangles to events\n events = []\n for x1, y1, x2, y2 in rectangles:\n events.append((x1, 0, y1, y2)) #in\n events.append((x2, 1, y1, y2)) #out\n events.sort(key = lambda x : (x[0], x[1]))\n \n # sweep to calculate area\n intervals = []\n area = 0\n prev_x = 0\n for event in events:\n cur_x, type, low, high = event\n area += getArea(cur_x - prev_x)\n if type == 1:\n intervals.remove((low, high))\n else:\n intervals.append((low, high))\n intervals.sort() \n prev_x = cur_x\n \n \n return area % MOD": 1.0, "class Solution:\n def rectangleArea(self, rectangles: List[List[int]]) -> int:\n \n def getArea(width):\n res = 0\n prev_low = 0\n for low, high in intervals:\n low = max(low, low)\n if high > low:\n res += (high - low)*width\n prev_low = high\n return res\n MOD = 10**9 + 7\n # convert list of rectangles to events\n events = []\n for x1, y1, x2, y2 in rectangles:\n events.append((x1, 0, y1, y2)) #in\n events.append((x2, 1, y1, y2)) #out\n events.sort(key = lambda x : (x[0], x[1]))\n \n # sweep to calculate area\n intervals = []\n area = 0\n prev_x = 0\n for event in events:\n cur_x, type, low, high = event\n area += getArea(cur_x - prev_x)\n if type == 1:\n intervals.remove((low, high))\n else:\n intervals.append((low, high))\n intervals.sort() \n prev_x = cur_x\n \n \n return area % MOD": 0.0, "class Solution:\n def rectangleArea(self, rectangles: List[List[int]]) -> int:\n \n def getArea(width):\n res = 0\n prev_low = 0\n for low, high in intervals:\n low = max(prev_low, low)\n if high < low:\n res += (high - low)*width\n prev_low = high\n return res\n MOD = 10**9 + 7\n # convert list of rectangles to events\n events = []\n for x1, y1, x2, y2 in rectangles:\n events.append((x1, 0, y1, y2)) #in\n events.append((x2, 1, y1, y2)) #out\n events.sort(key = lambda x : (x[0], x[1]))\n \n # sweep to calculate area\n intervals = []\n area = 0\n prev_x = 0\n for event in events:\n cur_x, type, low, high = event\n area += getArea(cur_x - prev_x)\n if type == 1:\n intervals.remove((low, high))\n else:\n intervals.append((low, high))\n intervals.sort() \n prev_x = cur_x\n \n \n return area % MOD": 0.0, "class Solution:\n def rectangleArea(self, rectangles: List[List[int]]) -> int:\n \n def getArea(width):\n res = 0\n prev_low = 0\n for low, high in intervals:\n low = max(prev_low, low)\n if high > low:\n res -= (high - low)*width\n prev_low = high\n return res\n MOD = 10**9 + 7\n # convert list of rectangles to events\n events = []\n for x1, y1, x2, y2 in rectangles:\n events.append((x1, 0, y1, y2)) #in\n events.append((x2, 1, y1, y2)) #out\n events.sort(key = lambda x : (x[0], x[1]))\n \n # sweep to calculate area\n intervals = []\n area = 0\n prev_x = 0\n for event in events:\n cur_x, type, low, high = event\n area += getArea(cur_x - prev_x)\n if type == 1:\n intervals.remove((low, high))\n else:\n intervals.append((low, high))\n intervals.sort() \n prev_x = cur_x\n \n \n return area % MOD": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe are given a list of (axis-aligned)\u00a0rectangles.\u00a0 Each\u00a0rectangle[i] = [x1, y1, x2, y2]\u00a0, where (x1, y1) are the coordinates of the bottom-left corner, and (x2, y2) are the coordinates of the top-right corner of the ith rectangle.\n\nFind the total area covered by all rectangles in the plane.\u00a0 Since the answer\u00a0may be too large, return it modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a rectangular cake with height h and width w, and two arrays of integers horizontalCuts and verticalCuts where horizontalCuts[i] is the distance from the top of the rectangular cake to the ith horizontal cut\u00a0and similarly, verticalCuts[j] is the distance from the\u00a0left of the rectangular cake to the jth\u00a0vertical cut.\n\nReturn the maximum area of a piece of cake after you cut at each horizontal and vertical position provided in the arrays horizontalCuts and verticalCuts.\u00a0Since the answer can be a huge number, return this modulo 10^9 + 7.", "responses": { "class Solution:\n def maxArea(self, h: int, w: int, horizontalCuts: List[int], verticalCuts: List[int]) -> int:\n mod = int(1e9)+7\n return ( ( self.getMax(horizontalCuts, h) % mod ) * ( self.getMax(verticalCuts, w) % mod ) ) % mod\n \n def getMax(self, cuts, size):\n if len(cuts) == 1:\n return max(cuts[0], size - cuts[0])\n \n cuts.sort()\n \n max_cut_size = max(cuts[0], size - cuts[-1])\n for index in range(1, len(cuts)):\n if cuts[index] - cuts[index - 1] > max_cut_size:\n max_cut_size = cuts[index] - cuts[index - 1]\n \n return max_cut_size": 1.0, "class Solution:\n def maxArea(self, h: int, w: int, horizontalCuts: List[int], verticalCuts: List[int]) -> int:\n mod = int(1e9)+7\n return ( ( self.getMax(horizontalCuts, h) % mod ) * ( self.getMax(verticalCuts, w) % mod ) ) % mod\n \n def getMax(self, cuts, size):\n if len(cuts) == 1:\n return max(cuts[0], size - cuts[0])\n \n cuts.sort()\n \n max_cut_size = max(cuts[0], size - cuts[-1])\n for index in range(1, len(cuts)):\n if cuts[index] - cuts[index - 1] > max_cut_size:\n max_cut_size = cuts[index] - cuts[index - 1]\n \n return -max_cut_size": 0.0, "class Solution:\n def maxArea(self, h: int, w: int, horizontalCuts: List[int], verticalCuts: List[int]) -> int:\n mod = int(1e9)+7\n return ( ( self.getMax(horizontalCuts, h) % mod ) * ( self.getMax(verticalCuts, w) % mod ) ) % mod\n \n def getMax(self, cuts, size):\n if len(cuts) == 1:\n return max(cuts[0], size - cuts[0])\n \n cuts.sort()\n \n max_cut_size = min(cuts[0], size - cuts[-1])\n for index in range(1, len(cuts)):\n if cuts[index] - cuts[index - 1] > max_cut_size:\n max_cut_size = cuts[index] - cuts[index - 1]\n \n return max_cut_size": 0.0, "class Solution:\n def maxArea(self, h: int, w: int, horizontalCuts: List[int], verticalCuts: List[int]) -> int:\n mod = int(1e9)+7\n return ( ( self.getSum(horizontalCuts, h) % mod ) * ( self.getMax(verticalCuts, w) % mod ) ) % mod\n \n def getMax(self, cuts, size):\n if len(cuts) == 1:\n return max(cuts[0], size - cuts[0])\n \n cuts.sort()\n \n max_cut_size = max(cuts[0], size - cuts[-1])\n for index in range(1, len(cuts)):\n if cuts[index] - cuts[index - 1] > max_cut_size:\n max_cut_size = cuts[index] - cuts[index - 1]\n \n return max_cut_size": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a rectangular cake with height h and width w, and two arrays of integers horizontalCuts and verticalCuts where horizontalCuts[i] is the distance from the top of the rectangular cake to the ith horizontal cut\u00a0and similarly, verticalCuts[j] is the distance from the\u00a0left of the rectangular cake to the jth\u00a0vertical cut.\n\nReturn the maximum area of a piece of cake after you cut at each horizontal and vertical position provided in the arrays horizontalCuts and verticalCuts.\u00a0Since the answer can be a huge number, return this modulo 10^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A simple string contains a large repetition of letters within it. This problem is related to string handling and manipulation. An original message is sent from planet Earth to planet Cybertron in form of a string. However, the letter position and string size is not important. The number of time each letter has occurred in the string is important. So the original string which is sent to Cybertron is encrypted in the new string which comprises the letters followed by each time it has occurred in the original string. Eg- original message is- abcdabf. Then the encrypted string is- a2b2c1d1f1\n\n\n\n-----Input-----\n\nThe input consists of a single line string without any space or numeric or special characters.\n\n\n\n-----Output-----\n\nIt will consist of in the encrypted string which comprises the letters followed by each time it has occurred in the original string in order.\n\n\n\n-----Example-----\n\nInput:\n\ninformation\n\n\n\nOutput:\n\ni2n2f1o2r1m1a1t1", "responses": { "import sys,math\ndef main(filename):\n inputfile = open(filename,'rU')\n data = inputfile.readlines()\n T=data.pop(0)\n ans=[]\n ansstring=str()\n explored=[]\n for i in T:\n if i in explored:\n #print explored\n for j in range(len(ans)):\n if ans[j][0]==i:\n ans[j][1] += 1\n else:\n ans.append([i,1])\n explored.append(i)\n for i in ans:\n ansstring += i[0]+str(i[1])\n print(ansstring) \n \n inputfile.close()\ndef __starting_point():\n main(sys.argv[1])\n__starting_point()": 1.0, "import sys,math\ndef main(filename):\n inputfile = open(filename,'rU')\n data = inputfile.readlines()\n T = data.pop(0)\n ans = []\n ansstring = str()\n explored = []\n for i in T:\n if i not in explored:\n for j in range(len(ans)):\n if ans[j][0] == i:\n ans[j][1] += 1\n else:\n ans.append([i,1])\n explored.append(i)\n for i in ans:\n ansstring += i[0] + str(i[1])\n print(ansstring) \n inputfile.close()\ndef __starting_point():\n main(sys.argv[1])\n__starting_point()": 0.0, "import sys,math\ndef main(filename):\n inputfile = open(filename,'rU')\n data = inputfile.readlines()\n T = data.pop(0)\n ans = []\n ansstring = str()\n #explored = []\n for i in T:\n if i:\n for j in range(len(ans)):\n if ans[j][0] == i:\n ans[j][1] += 1\n else:\n ans.append([i,1])\n explored.append(i)\n for i in ans:\n ansstring += i[0] + str(i[1])\n print(ansstring) \n inputfile.close()\ndef __starting_point():\n main(sys.argv[1])\n__starting_point()": 0.0, "import sys,math\ndef main(filename):\n inputfile = open(filename,'rU')\n data = inputfile.readlines()\n #T = data.pop(0)\n ans = []\n ansstring = str()\n explored = []\n for i in T:\n if i in explored:\n for j in range(len(ans)):\n if ans[j][0] == i:\n ans[j][0] = ans[j][1]\n else:\n ans.append([i,1])\n explored.append(i)\n for i in ans:\n ansstring += i[0] + str(i[1])\n print(ansstring) \n inputfile.close()\ndef __starting_point():\n main(sys.argv[1])\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA simple string contains a large repetition of letters within it. This problem is related to string handling and manipulation. An original message is sent from planet Earth to planet Cybertron in form of a string. However, the letter position and string size is not important. The number of time each letter has occurred in the string is important. So the original string which is sent to Cybertron is encrypted in the new string which comprises the letters followed by each time it has occurred in the original string. Eg- original message is- abcdabf. Then the encrypted string is- a2b2c1d1f1\n\n\n\n-----Input-----\n\nThe input consists of a single line string without any space or numeric or special characters.\n\n\n\n-----Output-----\n\nIt will consist of in the encrypted string which comprises the letters followed by each time it has occurred in the original string in order.\n\n\n\n-----Example-----\n\nInput:\n\ninformation\n\n\n\nOutput:\n\ni2n2f1o2r1m1a1t1\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "LeetCode company workers use key-cards to unlock office doors. Each time a worker uses their key-card, the security system saves the worker's name and the time when it was used. The system emits an alert if any worker uses the key-card three or more times in a one-hour period.\n\nYou are given a list of strings keyName and keyTime where [keyName[i], keyTime[i]] corresponds to a person's name and the time when their key-card was used in a single day.\n\nAccess times are given in the 24-hour time format \"HH:MM\", such as \"23:51\" and \"09:49\".\n\nReturn a list of unique worker names who received an alert for frequent keycard use. Sort the names in ascending order alphabetically.\n\nNotice that \"10:00\" - \"11:00\" is considered to be within a one-hour period, while \"22:51\" - \"23:52\" is not considered to be within a one-hour period.", "responses": { "class Solution:\n def alertNames(self, keyName: List[str], keyTime: List[str]) -> List[str]:\n def should_alert(t):\n if len(t) < 3:\n return False\n \n for i in range(len(t) - 2):\n if t[i + 2] <= t[i] + 100:\n return True\n return False\n \n time = collections.defaultdict(list)\n alert = []\n for name, t in zip(keyName, keyTime): \n ti = int(t[:2] + t[3:])\n time[name].append(ti)\n \n ret = []\n for name in time:\n time[name].sort()\n if should_alert(time[name]):\n ret.append(name)\n \n ret.sort()\n return ret": 1.0, "class Solution:\n def alertNames(self, keyName: List[str], keyTime: List[str]) -> List[str]:\n def should_alert(t):\n if len(t) < 3:\n return False\n \n for i in range(len(t) - 2):\n if t[i + 2] <= t[i] + 100:\n return True\n return False\n \n time = collections.defaultdict(list)\n alert = []\n for name, t in zip(keyName, keyTime): \n ti = int(t[:2] + t[3:])\n time[name].append(ti)\n \n ret = []\n for name in time:\n time[name].sort()\n if should_alert(time[name]):\n ret.append(name)\n \n return ret": 0.0, "class Solution:\n def alertNames(self, keyName: List[str], keyTime: List[str]) -> List[str]:\n def should_alert(t):\n if len(t) < 3:\n return False\n \n for i in range(len(t) - 2):\n if t[i + 2] <= t[i] + 100:\n return True\n return False\n \n time = collections.defaultdict(list)\n alert = []\n for name, t in zip(keyName, keyTime): \n ti = int(t[:2] + t[3:])\n time[name].append(ti)\n \n for name in time:\n time[name].sort()\n if should_alert(time[name]):\n alert.append(name)\n \n alert.sort()\n return alert": 0.0, "class Solution:\n def alertNames(self, keyName: List[str], keyTime: List[str]) -> List[str]:\n def should_alert(t):\n if len(t) < 3:\n return False\n \n for i in range(len(t) - 2):\n if t[i + 2] <= t[i] + 100:\n return True\n return False\n \n time = collections.defaultdict(list)\n ret = []\n for name, t in zip(keyName, keyTime): \n ti = int(t[:2] + t[3:])\n time[name].append(ti)\n \n for name in time:\n time[name].sort()\n if should_alert(time[name]):\n ret.append(name)\n \n ret.sort()\n return alert": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLeetCode company workers use key-cards to unlock office doors. Each time a worker uses their key-card, the security system saves the worker's name and the time when it was used. The system emits an alert if any worker uses the key-card three or more times in a one-hour period.\n\nYou are given a list of strings keyName and keyTime where [keyName[i], keyTime[i]] corresponds to a person's name and the time when their key-card was used in a single day.\n\nAccess times are given in the 24-hour time format \"HH:MM\", such as \"23:51\" and \"09:49\".\n\nReturn a list of unique worker names who received an alert for frequent keycard use. Sort the names in ascending order alphabetically.\n\nNotice that \"10:00\" - \"11:00\" is considered to be within a one-hour period, while \"22:51\" - \"23:52\" is not considered to be within a one-hour period.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Your friend is typing his name\u00a0into a keyboard.\u00a0 Sometimes, when typing a character c, the key might get long pressed, and the character will be typed 1 or more times.\n\nYou examine the typed\u00a0characters of the keyboard.\u00a0 Return True if it is possible that it was your friends name, with some characters (possibly none) being long pressed.", "responses": { "class Solution:\n def isLongPressedName(self, name: str, typed: str) -> bool:\n name=list(name)\n typed= list(typed)\n \n while name:\n i, j=0,0\n n=name[0]\n while name and name[0]==n:\n i+=1\n name.pop(0)\n while typed and typed[0]==n:\n j+=1\n typed.pop(0)\n \n if j bool:\n name=list(name)\n typed= list(typed)\n \n while name:\n i, j=0,0\n n=name[0]\n while name and name[0]==n:\n i+=1\n name.pop(0)\n while typed and typed[0]==n:\n j+=1\n typed.pop(0)\n \n if j bool:\n name=list(name)\n typed= list(typed)\n \n while name:\n i, j=0,0\n n=name[0]\n while name and name[0]==n:\n i+=2\n name.pop(0)\n while typed and typed[0]==n:\n j+=1\n typed.pop(0)\n \n if j bool:\n name=name[::-1]\n typed=typed[::-1]\n \n while name:\n i, j=0,0\n n=name[0]\n while name and name[0]==n:\n i+=1\n name.pop(0)\n while typed and typed[0]==n:\n j+=1\n typed.pop(0)\n \n if j 0:\n res += a[i]\n else:\n new_a.append(a[i])\na = new_a\na.sort()\nres += a[-1]\na.pop()\nwhile len(a) > 1:\n if a[-1] + a[-2] > 0:\n res += a[-1] + a[-2]\n a.pop()\n a.pop()\n else:\n break\nprint(res)": 1.0, "n = int(input())\na = list(map(int, input().split()))\nres = 0\nnew_a = []\nfor i in range(n):\n if a[i] % 2 == 0:\n if a[i] > 0:\n res += a[i]\n ## Missing else statement here\na = new_a\na.sort()\nres += a[-1]\na.pop()\nwhile len(a) > 1:\n if a[-1] + a[-2] > 0:\n res += a[-1] + a[-2]\n a.pop()\n a.pop()\n else:\n break\nprint(res)": 0.0, "n = int(input())\na = list(map(int, input().split()))\nres = 0\nnew_a = []\nfor i in range(n):\n if a[i] % 2 == 0:\n if a[i] > 0:\n res += a[i]\n else:\n new_a.append(a[i+1]) ## index out of range bug here\na = new_a\na.sort()\nres += a[-1]\na.pop()\nwhile len(a) > 1:\n if a[-1] + a[-2] > 0:\n res += a[-1] + a[-2]\n a.pop()\n a.pop()\n else:\n break\nprint(res)": 0.0, "n = int(input())\na = list(map(int, input().split()))\nres = 0\nnew_a = []\nfor i in range(n):\n if a[i] % 2 == 0:\n if a[i] > 0:\n res += a[i]\n else:\n new_a.append(a[i])\na = new_a\na.sort(reverse=True) ## sorting in reverse order bug here\nres += a[-1]\na.pop()\nwhile len(a) > 1:\n if a[-1] + a[-2] > 0:\n res += a[-1] + a[-2]\n a.pop()\n a.pop()\n else:\n break\nprint(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given sequence a_1, a_2, ..., a_{n} of integer numbers of length n. Your task is to find such subsequence that its sum is odd and maximum among all such subsequences. It's guaranteed that given sequence contains subsequence with odd sum.\n\n\n\nSubsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.\n\n\n\nYou should write a program which finds sum of the best subsequence.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer number n (1 \u2264 n \u2264 10^5).\n\n\n\nThe second line contains n integer numbers a_1, a_2, ..., a_{n} ( - 10^4 \u2264 a_{i} \u2264 10^4). The sequence contains at least one subsequence with odd sum.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint sum of resulting subseqeuence.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a collection of candidate numbers (candidates) and a target number (target), find all unique combinations in candidates\u00a0where the candidate numbers sums to target.\n\n\n\nEach number in candidates\u00a0may only be used once in the combination.\n\n\n\nNote:\n\n\n\n\n\n All numbers (including target) will be positive integers.\n\n The solution set must not contain duplicate combinations.", "responses": { "class Solution:\n def combinationSum2(self, candidates, target):\n \n def dfs(i, val, path):\n while i < len(candidates):\n num = candidates[i]\n val_ = val + num\n path_ = path + [num]\n if val_ > target:\n return\n elif val_ == target:\n ans.append(path_)\n return \n dfs(i+1, val_, path_)\n while i target:\n return\n elif val_ == target:\n ans.append(path_)\n return \n dfs(i+1, val_, path_)\n while i target:\n return\n elif val_ == target:\n ans.append(path_)\n return \n dfs(i+1, val_, path_)\n while i int:\n d2 = {nums2[i]:i for i in range(len(nums2))}\n _nums1 = []\n _nums2 = []\n prev_i, prev_j = 0, 0\n for i in range(len(nums1)):\n if nums1[i] in d2:\n _nums1.append(sum(nums1[prev_i:i]))\n _nums2.append(sum(nums2[prev_j:d2[nums1[i]]]))\n _nums1.append(nums1[i])\n _nums2.append(nums1[i])\n prev_i = i+1\n prev_j = d2[nums1[i]]+1\n _nums1.append(sum(nums1[prev_i:]))\n _nums2.append(sum(nums2[prev_j:]))\n print(_nums1)\n print(_nums2)\n n = len(_nums1)\n ans = 0\n for i in range(n):\n ans += max(_nums1[i], _nums2[i])\n return ans % (10**9 + 7)": 1.0, "NOTE: There is a syntax error in this response code.\n\nclass Solution:\n def maxSum(self, nums1: List[int], nums2: List[int]) -> int:\n d2 = {nums2[i]:i for i in range(len(nums2))}\n _nums1 = []\n _nums2 = \n prev_i, prev_j = 0, 0\n for i in range(len(nums1)):\n if nums1[i] in d2:\n _nums1.append(nums1[i])\n _nums2.append(_nums1[i])\n _nums1.append(sum(nums1[prev_i:i]))\n _nums2.append(sum(nums2[prev_j:d2[nums1[i]]]))\n prev_i = i+1\n prev_j = d2[nums1[i]]+1\n _nums1.append(sum(nums1[prev_i:]))\n _nums2.append(sum(nums2[prev_j:]))\n print(_nums1)\n print(_nums2)\n n = len(_nums1)\n ans = 0\n for i in range(n):\n ans += max(_nums1[i], _nums2[i])\n return ans % (10**9 + 7)": 0.0, "class Solution:\n def maxSum(self, nums1: List[int], nums2: List[int]) -> int:\n _nums1 = []\n _nums2 = []\n prev_i, prev_j = 0, 0\n for i in range(len(nums1)):\n if nums1[i] in nums2:\n _nums1.append(nums1[i])\n _nums2.append(nums1[i])\n _nums1.append(sum(nums1[prev_i:i]))\n _nums2.append(sum(nums2[prev_j:d2[nums1[i]]]))\n prev_i = i+1\n prev_j = d2[nums1[i]]+1\n _nums1.append(sum(nums1[prev_i:]))\n _nums2.append(sum(nums2[prev_j:]))\n print(_nums1)\n print(_nums2)\n n = len(_nums1)\n ans = 0\n for i in range(n):\n ans += max(_nums1[i], _nums2[i])\n return ans % (10**9 + 7)": 0.0, "class Solution:\n def maxSum(self, nums1: List[int], nums2: List[int]) -> int:\n d2 = {nums2[i]:i for i in range(len(nums2))}\n _nums1 = []\n _nums2 = []\n prev_i, prev_j = 0, 0\n for i in range(1,len(nums1)):\n if nums1[i] in d2:\n _nums1.append(nums1[i])\n _nums2.append(nums2[i])\n _nums1.append(sum(nums1[prev_i:i]))\n _nums2.append(sum(nums2[prev_j:d2[nums1[i]]]))\n prev_i = i+1\n prev_j = d2[nums1[i]]+1\n _nums1.append(sum(nums1[prev_i:]))\n _nums2.append(sum(nums2[prev_j:]))\n print(_nums1)\n print(_nums2)\n n = len(_nums1)\n ans = 0\n for i in range(n):\n ans += max(_nums1[i], _nums2[i])\n return ans % (10**9 + 7)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two sorted arrays of distinct integers nums1 and nums2.\n\nA valid path is defined as follows:\n\n\n\nChoose\u00a0array nums1 or nums2 to traverse (from index-0).\n\nTraverse the current array from left to right.\n\nIf you are reading any value that is present in nums1 and nums2\u00a0you are allowed to change your path to the other array. (Only one repeated value is considered in the\u00a0valid path).\n\n\n\nScore is defined as the sum of uniques values in a valid path.\n\nReturn the maximum score you can obtain of all possible\u00a0valid\u00a0paths.\n\nSince the answer\u00a0may be too large,\u00a0return it modulo\u00a010^9 + 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal.", "responses": { "class Solution:\n def canPartitionKSubsets(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n target,rem=divmod(sum(nums),k)\n if rem or max(nums)>target: return False\n n=len(nums)\n seen=[0]*n\n nums.sort(reverse=True)\n \n def dfs(k,index,current_sum):\n if k==1:\n return True\n \n if current_sum==target:\n return dfs(k-1,0,0)\n for i in range(index,n):\n if not seen[i] and current_sum+nums[i]<=target:\n seen[i]=1\n if dfs(k,i+1,current_sum+nums[i]):\n return True\n seen[i]=0\n return False\n \n return dfs(k,0,0)": 1.0, "class Solution:\n def canPartitionKSubsets(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n target,rem=divmod(sum(nums),k)\n if rem or max(nums)>target: return False\n n=len(nums)\n seen=0\n nums.sort(reverse=True)\n \n def dfs(k,index,current_sum):\n if k==1:\n return True\n \n if current_sum==target:\n return dfs(k-1,0,0)\n for i in range(index,n):\n if not seen[i] and current_sum+nums[i]<=target:\n seen=1\n if dfs(k,i+1,current_sum+nums[i]):\n return True\n seen=0\n return False\n \n return dfs(k,0,0)": 0.0, "class Solution:\n def canPartitionKSubsets(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n target,rem=divmod(sum(nums),k)\n if rem or max(nums)>target: return False\n n=len(nums)\n seen=[0]*n\n nums.sort()\n \n def dfs(k,index,current_sum):\n if k==1:\n return True\n \n if current_sum==target:\n return dfs(k-1,0,0)\n for i in range(index,n):\n if not seen[i] and current_sum+nums[i]>=target:\n seen[i]=1\n if dfs(k,i+1,current_sum+nums[i]):\n return True\n seen[i]=0\n return False\n \n return dfs(k,0,0)": 0.0, "class Solution:\n def canPartitionKSubsets(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n target,rem=divmod(sum(nums),k)\n if rem or max(nums)>target: return False\n n=len(nums)\n seen=[0]*n\n nums.sort(reverse=True)\n \n def dfs(k,index,current_sum):\n if k!=1:\n return True\n \n if current_sum==target:\n return dfs(k-1,0,0)\n for i in range(index,n):\n if not seen[i] and current_sum+nums[i]<=target:\n seen[i]=1\n if dfs(k,i+1,current_sum-nums[i]):\n return True\n seen[i]=0\n return False\n \n return dfs(k,0,0)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses.\n\n\n\nYou're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first input line contains two integers n and m (1 \u2264 n, m \u2264 10^3)\u00a0\u2014 number of words PolandBall and EnemyBall know, respectively.\n\n\n\nThen n strings follow, one per line\u00a0\u2014 words familiar to PolandBall.\n\n\n\nThen m strings follow, one per line\u00a0\u2014 words familiar to EnemyBall.\n\n\n\nNote that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players.\n\n\n\nEach word is non-empty and consists of no more than 500 lowercase English alphabet letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line of print the answer\u00a0\u2014 \"YES\" if PolandBall wins and \"NO\" otherwise. Both Balls play optimally.", "responses": { "def main():\n n, m = list(map(int, input().split()))\n p_words = set()\n e_words = set()\n for _ in range(n):\n p_words.add(input())\n for _ in range(m):\n e_words.add(input())\n common = p_words & e_words\n p_words -= common\n e_words -= common\n we_win = False\n p_turn = True\n a, b, c = len(p_words), len(e_words), len(common)\n while True:\n if c > 0:\n c -= 1\n else:\n if p_turn:\n if a == 0:\n we_win = False\n break\n else:\n a -= 1\n else:\n if b == 0:\n we_win = True\n break\n else:\n b -= 1\n p_turn = not p_turn\n print(\"YES\" if we_win else \"NO\")\nmain()": 1.0, "def main():\n n, m = list(map(int, input().split()))\n p_words = set()\n e_words = set()\n for _ in range(n):\n p_words.add(input())\n for _ in range(m):\n e_words.add(input())\n common = p_words & e_words\n p_words -= common\n e_words -= common\n we_win = False\n p_turn = True\n a, b, c = len(p_words), len(e_words), len(common)\n while True:\n if c > 0:\n c -= 1\n else:\n if p_turn:\n if a == 0:\n we_win = False\n break\n else:\n if b == 0:\n we_win = True\n break\n else:\n b -= 1\n p_turn = not p_turn\n print(\"YES\" if we_win else \"NO\")\nmain()": 0.0, "def main():\n n, m = list(map(int, input().split()))\n p_words = set()\n e_words = set()\n for _ in range(n):\n p_words.add(input())\n for _ in range(m):\n e_words.add(input())\n common = p_words & e_words\n p_words |= common\n e_words -= common\n we_win = False\n p_turn = True\n a, b, c = len(p_words), len(e_words), len(common)\n while True:\n if c > 0:\n c -= 1\n else:\n if p_turn:\n if a == 0:\n we_win = False\n break\n else:\n a -= 1\n else:\n if b == 0:\n we_win = True\n break\n else:\n b -= 1\n p_turn = not p_turn\n for i in range(5)\n print(\"YES\" if we_win else \"NO\")\nmain()": 0.0, "def main():\n n, m = list(map(int, input().split()))\n p_words = set()\n e_words = set()\n for _ in range(n):\n p_words.add(input())\n for _ in range(m):\n e_words.add(input())\n common = p_words & e_words\n p_words -= common\n e_words -= common\n we_win = False\n p_turn = True\n a, b, c = len(p_words), len(e_words), len(common)\n while True:\n if c > 0:\n c -= 1\n else:\n if p_turn:\n if a == 0:\n we_win = False\n break\n else:\n a -= 1\n else:\n if b == 0:\n we_win = True\n break\n p_turn = not p_turn\n return(\"YES\" if we_win else \"NO\")\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses.\n\n\n\nYou're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first input line contains two integers n and m (1 \u2264 n, m \u2264 10^3)\u00a0\u2014 number of words PolandBall and EnemyBall know, respectively.\n\n\n\nThen n strings follow, one per line\u00a0\u2014 words familiar to PolandBall.\n\n\n\nThen m strings follow, one per line\u00a0\u2014 words familiar to EnemyBall.\n\n\n\nNote that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players.\n\n\n\nEach word is non-empty and consists of no more than 500 lowercase English alphabet letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line of print the answer\u00a0\u2014 \"YES\" if PolandBall wins and \"NO\" otherwise. Both Balls play optimally.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers\u00a0nums\u00a0and a positive integer\u00a0k, find whether it's possible to divide this array into\u00a0sets of k consecutive numbers\n\nReturn\u00a0True\u00a0if its possible\u00a0otherwise\u00a0return\u00a0False.", "responses": { "class Solution:\n def isPossibleDivide(self, s: List[int], k: int) -> bool:\n if len(s) % k != 0:\n return False\n \n ctr = collections.Counter(s)\n \n for _ in range(len(s) // k):\n mn = []\n for i in ctr:\n if mn == [] and ctr[i] > 0:\n mn = [i]\n elif ctr[i] > 0:\n if i < mn[0]:\n mn = [i]\n for i in range(k):\n ctr[mn[0] + i] -= 1\n if ctr[mn[0] + i] < 0:\n return False\n \n return True\n \n def isPossibleDivide(self, s: List[int], k: int) -> bool:\n \n c = [0]*k # keeps count\n if s == [2,4,6]: return False\n for n in s:\n c[n % k] += 1\n return len(set(c)) == 1": 1.0, "class Solution:\n def isPossibleDivide(self, s: List[int], k: int) -> bool:\n if len(s) % k != 0:\n return False\n \n ctr = collections.Counter(s)\n \n for _ in range(len(s) // k):\n mn = []\n for i in ctr:\n if mn == [] and ctr[i] > 0:\n mn = [i]\n elif ctr[i] > 0:\n if i < mn[0]:\n mn = [i]\n for i in range(k):\n ctr[mn[0] + 1] -= 1 # Incorrect indexing\n if ctr[mn[0] + i] < 0:\n return False\n \n return True": 0.0, "class Solution:\n def isPossibleDivide(self, s: List[int], k: int) -> bool:\n if len(s) % k != 0:\n return False\n \n ctr = collections.Counter(s)\n \n for _ in range(len(s) // k):\n mn = []\n for i in ctr:\n if mn == [] and ctr[i] > 0:\n mn = [i]\n elif ctr[i] > 0:\n if i < mn[0]:\n mn = [i]\n for i in range(k):\n ctr[mn[0] + i] -= k # Incorrect decrement value\n if ctr[mn[0] + i] < 0:\n return False\n \n return True": 0.0, "class Solution:\n def isPossibleDivide(self, s: List[int], k: int) -> bool:\n if len(s) % k != 0:\n return False\n \n ctr = collections.Counter(s)\n \n for _ in range(len(s) // k):\n mn = []\n for i in ctr:\n if mn == [] and ctr[i] > 0:\n mn = [i]\n elif ctr[i] > 0:\n if i < mn[0]:\n mn = [i]\n for i in range(k):\n ctr[mn[0] + i] -= 1\n if ctr[mn[0] + i] <= 0: # Incorrect condition\n return False\n \n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers\u00a0nums\u00a0and a positive integer\u00a0k, find whether it's possible to divide this array into\u00a0sets of k consecutive numbers\n\nReturn\u00a0True\u00a0if its possible\u00a0otherwise\u00a0return\u00a0False.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array of digits,\u00a0return the largest multiple of three that can be formed by concatenating some of the given digits in any order.\n\nSince the answer may not fit in an integer data type, return the answer as a string.\n\nIf there is no answer return an empty string.", "responses": { "class Solution:\n def largestMultipleOfThree(self, digits: List[int]) -> str:\n counts = Counter(digits)\n m = sum(digits) % 3\n if m:\n if counts[m] + counts[m+3] + counts[m+6]:\n counts[min([m+i for i in [0,3,6] if counts[m+i]])] -= 1\n else:\n counts[min([i-m for i in [3,6,9] if counts[i-m]])] -= 1\n counts[min([i-m for i in [3,6,9] if counts[i-m]])] -= 1\n \n ans = ''\n for i in range(9, -1, -1):\n if not ans and not counts[i]:\n continue\n ans += str(i) * counts[i]\n if ans:\n return ans.lstrip('0') or '0'\n return ''\n \n ": 1.0, "class Solution:\n def largestMultipleOfThree(self, digits: List[int]) -> str:\n counts = Counter(digits)\n m = sum(digits) % 3\n if m:\n if counts[m] + counts[m+3] + counts[m+6]:\n counts[]\n else:\n counts[min([i-m for i in [3,6,9] if counts[i-m]])] -= 1\n ans = ''\n for i in range(9, -1, -1):\n if not ans and not counts[i]:\n continue\n ans += str(i) * counts[i]\n if ans:\n return ans.lstrip('0') or '0'": 0.0, "class Solution:\n def largestMultipleOfThree(self, digits: List[int]) -> str:\n counts = Counter(digits)\n m = sum(digits) % 3\n if m:\n if counts[m] + counts[m+3] + counts[m+6]:\n counts[min([m+i for i in [0,3,6] if counts[m+i]])] -= 1\n else:\n counts[min([i-m for i in [3,6,9] if counts[i-m]])] -= 1\n counts[counts[i-m]] -= 1\n ans = ''\n for i in range(9, -1, -1):\n if not ans and not counts[i]:\n continue\n ans += str(i) * counts[i]\n if ans:\n return ans.lstrip('0') or '0'": 0.0, "class Solution:\n def largestMultipleOfThree(self, digits: List[int]) -> str:\n counts = Counter(digits)\n m = sum(digits) % 3\n if m:\n counts[x] = 5\n ans = ''\n for i in range(9, -1, -1):\n if not ans and not counts[i]:\n continue\n ans += str(i) * counts[i]\n if ans:\n return ans.lstrip('0') or '0'": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array of digits,\u00a0return the largest multiple of three that can be formed by concatenating some of the given digits in any order.\n\nSince the answer may not fit in an integer data type, return the answer as a string.\n\nIf there is no answer return an empty string.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Dima got into number sequences. Now he's got sequence a_1, a_2, ..., a_{n}, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: f(0) = 0; f(2\u00b7x) = f(x); f(2\u00b7x + 1) = f(x) + 1. \n\n\n\nDima wonders, how many pairs of indexes (i, j) (1 \u2264 i < j \u2264 n) are there, such that f(a_{i}) = f(a_{j}). Help him, count the number of such pairs. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5). The second line contains n positive integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9).\n\n\n\nThe numbers in the lines are separated by single spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem.\n\n\n\nPlease, don't use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.", "responses": { "3\nmem = [-1] * 100000\ndef f(x):\n if x == 0:\n return 0\n if x < 100000 and mem[x] != -1:\n return mem[x]\n if x % 2 == 0:\n res = f(x // 2)\n else:\n res = f((x - 1) // 2) + 1\n if x < 100000:\n mem[x] = res\n return res\nn = int(input())\na = list(map(int, input().split()))\ncnt = {}\nfor v in a:\n k = f(v)\n cnt[k] = cnt.get(k, 0) + 1\nprint(sum([v * (v - 1) // 2 for v in list(cnt.values())]))": 1.0, "3 \nmem = [-1] * 1000000\ndef f(x):\n if x == 0:\n return 0\n if x < 1000000 and mem[x] != -1:\n return mem[x]\n if x % 2 == 0:\n res = f(x // 2)\n else:\n res = f((x - 1) // 2) + 1\n if x < 1000000:\n mem[x] = res\n return res\nn = int(input())\na = input().split()\ncnt = {}\nfor v in a:\n k = f(v)\n cnt(k) = cnt.get(k, 0) + 1\nprint(sum([v * (v - 1) // 2 for v in list(cnt())]))": 0.0, "3\nmem = [-1] * 1000000\ndef f(x):\n if x == 0:\n return 0\n if x < 1000000 and mem = Mem[x] != -1:\n return mem[x]\n if x % 2 == 0:\n res = f(x // 2)\n else:\n res = f((x - 1) // 2) + 1\n if x < 1000000:\n mem[x] = res\n return res\nn = int(input())\na = list(map(int, input().split()))\ncnt = {}\nfor v in a:\n k = f(v)\n cnt[k] = cnt.get(k 0 + 1\nprint(sum([v * (v - 1) // 2 for v in list(cnt.values)]))": 0.0, "3\nmem = [-1] * 1000000\ndef f(x):\n if x == 0:\n return 0\n if x < 1000000 and mem[x] != -1:\n return mem[x]\n if x % 2 == 0:\n res = f(x // 2)\n else:\n res = f((x - 1) // 2) + 1\n if x < 1000000\n mem[x] = res\n return res\nn = int(input())\na = list(map(int, input().split()))\ncnt = {}\nfor v in a:\n k = f(v)\n cnt[k] = cnt.get(k,0) + 1\nprint(sum([v * (v - 1) // 2 for v in list(cnt.values())]))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDima got into number sequences. Now he's got sequence a_1, a_2, ..., a_{n}, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: f(0) = 0; f(2\u00b7x) = f(x); f(2\u00b7x + 1) = f(x) + 1. \n\n\n\nDima wonders, how many pairs of indexes (i, j) (1 \u2264 i < j \u2264 n) are there, such that f(a_{i}) = f(a_{j}). Help him, count the number of such pairs. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5). The second line contains n positive integers a_1, a_2, ..., a_{n} (1 \u2264 a_{i} \u2264 10^9).\n\n\n\nThe numbers in the lines are separated by single spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print the answer to the problem.\n\n\n\nPlease, don't use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers, find out whether there are two distinct indices i and j in the array such that the absolute difference between nums[i] and nums[j] is at most t and the absolute difference between i and j is at most k.", "responses": { "class Solution:\n def containsNearbyAlmostDuplicate(self, nums, k, t):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :type t: int\n :rtype: bool\n \"\"\"\n if len(nums) < 2 or k <= 0 or t < 0: return False\n if t == 0:\n visited = set()\n for i, n in enumerate(nums):\n if n in visited: return True\n visited.add(n)\n if i >= k: visited.remove(nums[i-k])\n return False\n bucket = {}\n for i, n in enumerate(nums):\n b = n // t\n if b in bucket: return True\n if b+1 in bucket and abs(bucket[b+1]-n) <= t: return True\n if b-1 in bucket and abs(bucket[b-1]-n) <= t: return True\n bucket[b] = n\n if i >= k: del bucket[nums[i-k]//t]\n return False": 1.0, "class Solution:\n def containsNearbyAlmostDuplicate(self, nums, k, t):\n \"\"\"\n :type nums: List[int]\n :type k:\n :type t: int\n :rtype: bool\n \"\"\"\n if len(nums) < 2 or k <= 0 or t < 0: return False\n if t == 0:\n visited = set()\n for i, n in enumerate(nums):\n if n in visited: return True\n visited.add(n)\n if i >= t: visited.remove(nums[i-t]) # Bug: Using incorrect variable\n return False\n bucket = {}\n for i, n in nums: # Bug: Incorrect variable assignment\n b = n // t\n if b in bucket: return True\n if b+1 in bucket and abs(bucket[b+1]-n) <= t: return True\n if b-1 in bucket and abs(bucket[b-1]-n) <= t: return True\n bucket[b] = n\n if i >= k: del bucket[nums[i-k]//t]\n return False": 0.0, "class Solution:\n def containsNearbyAlmostDuplicate(self, nums, k, t):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :type t:\n :rtype: bool\n \"\"\"\n if len(nums) < 2 or k <= 0 or t < 0: return False\n if t == 0:\n visited = set()\n for i, n in enumerate(nums):\n if n in visited: return True\n visited.add(n)\n if i >= k: visited.remove(nums[i-k])\n return False\n bucket = {}\n for i, n in enumerate(nums):\n b = n // t\n if b in bucket: return True\n if b+1 in bucket and abs(bucket[b+1]-n) <= t: return True\n if b-1 in bucket and abs(bucket[b-1]-n) <= t: return True\n bucket[b] = n\n if i >= t: del bucket[nums[i-t]//t] # Bug: Using incorrect variable\n return False": 0.0, "class Solution:\n def containsNearbyAlmostDuplicate(self, nums, k, t):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :type t: int\n :rtype: bool\n \"\"\"\n if len(nums) < 2 or k == 0 or t < 0: return False # Bug: Incorrect condition\n if t == 0:\n visited = set()\n for i, n in enumerate(nums):\n if n in visited: return True\n visited.add(n)\n if i > k: visited.remove(nums[i-k]) # Bug: Incorrect operator\n return False\n bucket = {}\n for i, n in enumerate(nums):\n b = n // t\n if b in bucket: return True\n if b+1 in bucket and abs(bucket[b+1]-n) <= t: return True\n if b-1 in bucket and abs(bucket[b-1]-n) <= t: return True\n bucket[b] = n\n if i > k: del bucket[nums[i-k]//t] # Bug: Incorrect operator\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers, find out whether there are two distinct indices i and j in the array such that the absolute difference between nums[i] and nums[j] is at most t and the absolute difference between i and j is at most k.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "After returning from the army Makes received a gift \u2014 an array a consisting of n positive integer numbers. He hadn't been solving problems for a long time, so he became interested to answer a particular question: how many triples of indices (i, \u00a0j, \u00a0k) (i < j < k), such that a_{i}\u00b7a_{j}\u00b7a_{k} is minimum possible, are there in the array? Help him with it!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains a positive integer number n\u00a0(3 \u2264 n \u2264 10^5) \u2014 the number of elements in array a. The second line contains n positive integer numbers a_{i}\u00a0(1 \u2264 a_{i} \u2264 10^9) \u2014 the elements of a given array.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one number \u2014 the quantity of triples (i, \u00a0j, \u00a0k) such that i, \u00a0j and k are pairwise distinct and a_{i}\u00b7a_{j}\u00b7a_{k} is minimum possible.", "responses": { "n=int(input())\ninp=input().split()\nl=[]\nfor val in inp:\n\tl.append(int(val))\nl.sort()\ncount=3\nwhile(count int:\n clips.sort(key=lambda x: [x[0], -x[1]])\n res = 0 \n r = 0\n new_r = 0\n # print(clips)\n for s, e in clips:\n if s <= r:\n new_r = max(new_r, e)\n elif s > new_r:\n return -1\n else:\n res += 1\n r = new_r\n # print(new_r)\n new_r = max(new_r, e)\n if new_r >= T:\n break\n if new_r < T:\n return -1\n if r < T and new_r >= T:\n res += 1\n return res": 1.0, "class Solution:\n def videoStitching(self, clips: List[List[int]], T: int) -> int:\n clips.sort(key=lambda x: [x[0], -x[1]])\n res = 0 \n r = 0\n new_r = 0\n for s, e in clips:\n if s <= r:\n new_r = max(new_r, e)\n elif s > new_r:\n return -1\n else:\n res += 1\n r = new_r\n new_r = min(new_r, e) # Bug: should be max instead of min\n if new_r >= T:\n break\n if new_r < T:\n return -1\n if r < T and new_r >= T:\n res += 1\n return res": 0.0, "class Solution:\n def videoStitching(self, clips: List[List[int]], T: int) -> int:\n clips.sort(key=lambda x: [x[0], -x[1]])\n res = 0 \n r = 0\n new_r = 0\n for s, e in clips:\n if s <= r:\n new_r = max(new_r, e)\n elif s > new_r:\n return -1\n else:\n res -= 1 # Bug: should be += 1 instead of -= 1\n r = new_r\n new_r = max(new_r, e)\n if new_r >= T:\n break\n if new_r < T:\n return -1\n if r < T and new_r >= T:\n res += 1\n return res": 0.0, "class Solution:\n def videoStitching(self, clips: List[List[int]], T: int) -> int:\n clips.sort(key=lambda x: [x[0], -x[1]])\n res = 0 \n r = 0\n new_r = 0\n for s, e in clips:\n if s <= r:\n new_r = max(new_r, e)\n elif s > new_r:\n return -1\n else:\n res += 1\n r = new_r\n new_r = max(new_r, e)\n if new_r >= T:\n return res + 1 # Bug: should return res instead of res + 1\n if new_r < T:\n return -1\n if r < T and new_r >= T:\n res += 1\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a series of video clips from a sporting event that lasted T seconds.\u00a0\u00a0These video clips can be overlapping with each other and have varied lengths.\n\nEach video clip clips[i]\u00a0is an interval: it starts at time clips[i][0] and ends at time clips[i][1].\u00a0 We can cut these clips into segments freely: for example, a clip [0, 7] can be cut into segments\u00a0[0, 1] +\u00a0[1, 3] + [3, 7].\n\nReturn the minimum number of clips needed so that we can cut the clips into segments that cover the entire sporting event ([0, T]).\u00a0 If the task is impossible, return -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Valera had two bags of potatoes, the first of these bags contains x (x \u2265 1) potatoes, and the second \u2014 y (y \u2265 1) potatoes. Valera \u2014 very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that the total amount of potatoes (x + y) in the two bags, firstly, was not gerater than n, and, secondly, was divisible by k.\n\n\n\nHelp Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains three integers y, k, n (1 \u2264 y, k, n \u2264 10^9; $\\frac{n}{k}$ \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the list of whitespace-separated integers \u2014 all possible values of x in ascending order. You should print each possible value of x exactly once.\n\n\n\nIf there are no such values of x print a single integer -1.", "responses": { "import sys\nf = sys.stdin\ny, k, n = map(int, f.readline().strip().split())\nif y >= n:\n first = -1\nelse:\n t = k\n while t <= y:\n t += k\n first = t-y\nif first == -1:\n print(-1)\nelse:\n if first+y > n:\n print(-1)\n else:\n res = []\n for i in range(first, n+1-y, k):\n res.append(i)\n print(*res)": 1.0, "import sysf = sys.stdin\ny, k, n = map(int, f.readline().strip().split())\nif y >= n:\n first = -1\nelse:\n t = k\n while t <= y:\n t += k\n first = t-y\nif first == -1:\n print(-1)\nelse:\n if first+y > n:\n print(-1)\n else:\n res = []\n for i in range(first, n+1-y, k):\n res.append(i)\n print(*res)": 0.0, "import sys\nf = sys.stdin\ny, k, n = map(int, f.readline().strip().split()))\nif y >= n:\n first = -1\nelse:\n t = k\n while t <= y:\n t += k\n first = t-y\nif first == -1:\n print(-1)\nelse:\n if first+y > n:\n print(-1)\n else:\n res = []\n for i in range(first, n+1-y, k):\n res.append(i)\n print(*res)": 0.0, "import sys\nf = sys.stdin\ny, k, n = map(int, f.readline().strip().split())\nif y >= n :\n first = -1\nelse:\n t = k\n while t <= y:\n t+=k\n first = t-y\nif first == -1:\n print(-1)\nelse:\n if first+y > n:\n print(-1)\n else:\n res = []\n for i in range(first, n+1-y, k)\n res.append(i)\n print(*res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nValera had two bags of potatoes, the first of these bags contains x (x \u2265 1) potatoes, and the second \u2014 y (y \u2265 1) potatoes. Valera \u2014 very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that the total amount of potatoes (x + y) in the two bags, firstly, was not gerater than n, and, secondly, was divisible by k.\n\n\n\nHelp Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of input contains three integers y, k, n (1 \u2264 y, k, n \u2264 10^9; $\\frac{n}{k}$ \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the list of whitespace-separated integers \u2014 all possible values of x in ascending order. You should print each possible value of x exactly once.\n\n\n\nIf there are no such values of x print a single integer -1.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers\u00a0arr\u00a0and an integer k.\u00a0Find the least number of unique integers\u00a0after removing exactly k elements.", "responses": { "class Solution:\n def findLeastNumOfUniqueInts(self, arr: List[int], k: int) -> int:\n freq = collections.Counter(arr)\n distinct = len(freq)\n freq_count = collections.Counter(list(freq.values()))\n \n idx = 1\n while k>0:\n if k - idx*freq_count[idx] >= 0:\n k -= idx*freq_count[idx]\n distinct -= freq_count[idx]\n idx += 1\n else:\n # can't remove all, but can remove partially\n # [2,4,1,8,3,5,1,3], 3\n return distinct - k // idx\n return distinct\n \n ": 1.0, "class Solution:\n def findLeastNumOfUniqueInts(self, arr: List[int], k: int) -> int:\n freq = collections.Counter(arr)\n distinct = len(freq)\n freq_count = collections.Counter(list(freq.values()))\n\n idx = 1\n while k>0:\n if k - idx*freq_count[idx] >= 0:\n k -= idx*freq_count[idx]\n distinct -= freq_count[idx]\n idx +=\n else:\n return distinct - k // idx\n return distinct": 0.0, "class Solution:\n def findLeastNumOfUniqueInts(self, arr: List[int], k: int) -> int:\n freq = collections.Counter(arr)\n distinct = len(freq)\n freq_count = collections.Counter(list(freq.values()))\n\n idx = 1\n while k>0:\n if k - idx*freq_count[idx] >= 0:\n k -= idx*freq_count[idx]\n distinct -= freq_count[idx]\n \n idx +=\n else:\n return distinct - k // idx\n return distinct": 0.0, "class Solution:\n def findLeastNumOfUniqueInts(self, arr: List[int], k: int) -> int:\n freq = collections.Counter(arr)\n distinct = len(freq)\n freq_count = collections.Counter(list(freq.values()))\n\n idx = 1\n while k>0:\n if k - idx*freq_count[idx] >= 0:\n k -= idx*freq_count[idx]\n distinct -= freq_count[idx]\n idx += \n else:\n return distinct - k // idx\n return distinct": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers\u00a0arr\u00a0and an integer k.\u00a0Find the least number of unique integers\u00a0after removing exactly k elements.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.\n\n\n\nFor example, 4-rounding of 375 is 375\u00b780 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.\n\n\n\nWrite a program that will perform the k-rounding of n.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers n and k (1 \u2264 n \u2264 10^9, 0 \u2264 k \u2264 8).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the k-rounding of n.", "responses": { "def main():\n\tn, k = map(int, input().split())\n\tnum_2 = 0\n\tnum_5 = 0\n\tx = n\n\twhile (x % 2 == 0):\n\t\tnum_2 += 1\n\t\tx //= 2\n\t\t\n\twhile (x % 5 == 0):\n\t\tnum_5 += 1\n\t\tx //= 5\n\tnum_2 = k - min(num_2, k)\n\tnum_5 = k - min(num_5, k)\n\tprint(n * 5 ** num_5 * 2 ** num_2)\nmain()": 1.0, "def main():\n\tnum_2 = 0\n\tnum_5 = 0\n\tx = n\n\twhile (x % 2 == 0):\n\t\tnum_2 += 1\n\t\tx //= 2\n\t\t\n\twhile (x % 5 == 0):\n\t\tnum_5 += 1\n\t\tx //= 5\n\tnum_2 = k - min(num_2, k)\n\tnum_5 = k - min(num_5, k)\n\tprint(n * 5 ** num_5 * 2 ** num_2)\nmain()": 0.0, "def main():\n\tn, k = map(int, input().split())\n\tnum_2 = 0\n\tnum_5 = 0\n\tx = n\n\twhile (x % 2 == 0):\n\t\tnum_2 += 1\n\t\tx //= 2\n\t\t\n\twhile (x % == 0):\n\t\tnum_5 += 1\n\t\tx //= 5\n\tnum_2 = k - min(num_2, k)\n\tnum_5 = k - min(num_5, k)\n\tprint(n * 5 ** num_5 * 2 ** num_2)\nmain()": 0.0, "def main():\n\tn, k = map(int, input().split())\n\tnum_2 = 0\n\tnum_5 = 0\n\tx = n\n\twhile (x % 2 == 0):\n\t\tnum_2 += 1\n\t\tx //= 2\n\t\t\n\twhile (x % 5 == 0):\n\t\tnum_5 += 1\n\t\tx //= 5\n\tnum_2 = - min(num_2, k)\n\tnum_5 = k - min(num_5, k)\n\tprint(n * 5 ** num_5 * 2 ** num_2)\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFor a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.\n\n\n\nFor example, 4-rounding of 375 is 375\u00b780 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.\n\n\n\nWrite a program that will perform the k-rounding of n.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line contains two integers n and k (1 \u2264 n \u2264 10^9, 0 \u2264 k \u2264 8).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the k-rounding of n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Two players play a simple game. Each player is provided with a box with balls. First player's box contains exactly n_1 balls and second player's box contains exactly n_2 balls. In one move first player can take from 1 to k_1 balls from his box and throw them away. Similarly, the second player can take from 1 to k_2 balls from his box in his move. Players alternate turns and the first player starts the game. The one who can't make a move loses. Your task is to determine who wins if both players play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integers n_1, n_2, k_1, k_2. All numbers in the input are from 1 to 50.\n\n\n\nThis problem doesn't have subproblems. You will get 3 points for the correct submission.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"First\" if the first player wins and \"Second\" otherwise.", "responses": { "\"\"\"\nCodeforces Rockethon Contest Problem A\nAuthor : chaotic_iak\nLanguage: Python 3.4.2\n\"\"\"\ndef main():\n n1,n2,k1,k2 = read()\n if n1 > n2:\n return \"First\"\n return \"Second\"\ndef read(mode=2):\n # 0: String\n # 1: List of strings\n # 2: List of integers\n inputs = input().strip()\n if mode == 0: return inputs\n if mode == 1: return inputs.split()\n if mode == 2: return list(map(int, inputs.split()))\ndef write(s=\"\\n\"):\n if s is None: s = \"\"\n if isinstance(s, list): s = \" \".join(map(str, s))\n s = str(s)\n print(s, end=\"\")\nwrite(main())": 1.0, "```python\ndef main():\n \n n1, n2, k1, k2 = read()\n \n if n1 > n2:\n return \"First\"\n \n return \"Second\"\n\ndef read(mode=2):\n inputs = input().strip()\n \n if mode == 0: \n return inputs\n \n if mode == 1: \n return inputs.split()\n \n # Intentional bug: use incorrect list comprehension syntax\n if mode = 2: \n return list(map(int, inputs.split()))\n\ndef write(s=\"\\n\"):\n \n if s is None: \n s = \"\"\n \n if isinstance(s, list): \n s = \" \".join(map(str, s))\n \n s = str(s)\n \n # Intentional bug: print extra space after each element\n print(s, end=\" \")\n\nwrite(main())\n```": 0.0, "```python\ndef main():\n \n n1 = read()\n n2 = read()\n k1 = read()\n k2 = read()\n \n if n1 > n2:\n return \"First\"\n \n return \"Second\"\n\ndef read(mode=2):\n inputs = input().strip()\n \n # Intentional bug: return inputs as string\n if mode == 0: \n return inputs\n \n if mode == 1: \n return inputs.split()\n \n if mode == 2: \n return list(map(int, inputs.split()))\n\ndef write(s=\"\\n\"):\n \n if s is None: \n s = \"\"\n \n if isinstance(s, list): \n s = \" \".join(map(str, s))\n \n s = str(s)\n \n print(s, end=\"\")": 0.0, "```python\ndef main():\n \n n1, n2, k1, k2 = read()\n \n if n1 > n2:\n return \"First\"\n \n return \"Second\"\n\ndef read(mode=2):\n inputs = input().strip()\n \n if mode == 0: \n return inputs\n \n if mode == 1: \n return inputs.split()\n \n if mode == 2: \n # Intentional bug: return inputs as string instead of integers\n return inputs.split()\n\ndef write(s=\"\\n\"):\n \n if s is None: \n s = \"\"\n \n if isinstance(s, list): \n s = \" \".join(map(str, s))\n \n s = str(s)\n \n print(s, end=\"\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nTwo players play a simple game. Each player is provided with a box with balls. First player's box contains exactly n_1 balls and second player's box contains exactly n_2 balls. In one move first player can take from 1 to k_1 balls from his box and throw them away. Similarly, the second player can take from 1 to k_2 balls from his box in his move. Players alternate turns and the first player starts the game. The one who can't make a move loses. Your task is to determine who wins if both players play optimally.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains four integers n_1, n_2, k_1, k_2. All numbers in the input are from 1 to 50.\n\n\n\nThis problem doesn't have subproblems. You will get 3 points for the correct submission.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput \"First\" if the first player wins and \"Second\" otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Jeff got 2n real numbers a_1, a_2, ..., a_2n as a birthday present. The boy hates non-integer numbers, so he decided to slightly \"adjust\" the numbers he's got. Namely, Jeff consecutively executes n operations, each of them goes as follows: choose indexes i and j (i \u2260 j) that haven't been chosen yet; round element a_{i} to the nearest integer that isn't more than a_{i} (assign to a_{i}: \u230a a_{i}\u00a0\u230b); round element a_{j} to the nearest integer that isn't less than a_{j} (assign to a_{j}: \u2308 a_{j}\u00a0\u2309). \n\n\n\nNevertheless, Jeff doesn't want to hurt the feelings of the person who gave him the sequence. That's why the boy wants to perform the operations so as to make the absolute value of the difference between the sum of elements before performing the operations and the sum of elements after performing the operations as small as possible. Help Jeff find the minimum absolute value of the difference.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 2000). The next line contains 2n real numbers a_1, a_2, ..., a_2n (0 \u2264 a_{i} \u2264 10000), given with exactly three digits after the decimal point. The numbers are separated by spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print a single real number \u2014 the required difference with exactly three digits after the decimal point.", "responses": { "k = 0\nans = 0\nn = int(input())\na = input().split()\nfor i in range(2 * n):\n s = float(a[i])\n if s != int(s):\n k+=1\n ans += (int(s) + 1 - s)\nif ans - int(ans) > 0.5:\n p = int(ans) + 1\nelse:\n p = int(ans)\nif p > n:\n p = n\nif (p + n >= k):\n print('%.3f'% abs(ans - p))\nelse:\n print('%.3f'% abs(ans - k + n))": 1.0, "m = 0\nans = 0\nn = int(input())\na = input().split()\nfor i in range(2 * n):\n s = float(a[i])\n if s != int(s) +1:\n m+=1\n ans += (int(s) + 1 - s)\nif ans - int(ans) > 0.5:\n p = int(ans) + 1\nelse:\n p = int(ans)\nif p > n:\n p = n\nif (p + n >= m):\n print('%.3f'% abs(ans - p))\nelse:\n print('%.3f'% abs(ans - m + n))": 0.0, "k = 0\nans = 0\nn = int(input())\na = input().split()\nfor i in range(2 * n):\n s = float(a[i])\n if s == int(s):\n k+=1\n ans += (int(s) + 1 - s)\nif ans - int(ans) > 0.5:\n p = int(ans) + 1\nelse:\n p = int(ans)\nif p > n:\n p = n\nif (p + n <= k):\n print('%.3f'% abs(ans - p))\nelse:\n print('%.3f'% abs(ans - k + n))": 0.0, "k = 0\nans = 0\nn = int(input())\na = input().split(\",\")\nfor i in range(2 * n):\n s = float(a[i])\n if s != int(s):\n k+=1\n ans += (int(s) + 1 - s)\nif ans - int(ans) > 0.5:\n p = int(ans) + 1\nelse:\n p = int(ans)\nif p > n:\n p = n\nif (p + n >= k):\n print('%.3f'% abs(ans - p))\nelse:\n print('%.3f'% abs(ans - k + n))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nJeff got 2n real numbers a_1, a_2, ..., a_2n as a birthday present. The boy hates non-integer numbers, so he decided to slightly \"adjust\" the numbers he's got. Namely, Jeff consecutively executes n operations, each of them goes as follows: choose indexes i and j (i \u2260 j) that haven't been chosen yet; round element a_{i} to the nearest integer that isn't more than a_{i} (assign to a_{i}: \u230a a_{i}\u00a0\u230b); round element a_{j} to the nearest integer that isn't less than a_{j} (assign to a_{j}: \u2308 a_{j}\u00a0\u2309). \n\n\n\nNevertheless, Jeff doesn't want to hurt the feelings of the person who gave him the sequence. That's why the boy wants to perform the operations so as to make the absolute value of the difference between the sum of elements before performing the operations and the sum of elements after performing the operations as small as possible. Help Jeff find the minimum absolute value of the difference.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 2000). The next line contains 2n real numbers a_1, a_2, ..., a_2n (0 \u2264 a_{i} \u2264 10000), given with exactly three digits after the decimal point. The numbers are separated by spaces.\n\n\n\n\n\n-----Output-----\n\n\n\nIn a single line print a single real number \u2014 the required difference with exactly three digits after the decimal point.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The goal of this Kata is to remind/show you, how Z-algorithm works and test your implementation.\n\n\n\nFor a string str[0..n-1], Z array is of same length as string. An element Z[i] of Z array stores length of the longest substring starting from str[i] which is also a prefix of str[0..n-1]. The first entry of Z array is meaning less as complete string is always prefix of itself.\n\n\n\nExample:\n\n\n\nIndex: 0 1 2 3 4 5 6 7 8 9 10 11\n\n\n\n\n\nText: \"a a b c a a b x a a a z\"\n\n\n\n\n\nZ values: [11, 1, 0, 0, 3, 1, 0, 0, 2, 2, 1, 0]\n\n\n\n\n\n\n\nYour task will be to implement Z algorithm in your code and return Z-array.\n\n\n\nFor empty string algorithm should return [].\n\n\n\nInput: string str \n\n\n\nOutput: Z array\n\n\n\nFor example:\n\n\n\nprint zfunc('ababcaba')\n\n\n\n[8, 0, 2, 0, 0, 3, 0, 1]\n\n\n\nNote, that an important part of this kata is that you have to use\n\nefficient way to get Z-array (O(n))", "responses": { "def prefix1(a, b):\n cnt = 0\n for i, j in zip(a, b):\n if i == j:\n cnt += 1\n else:\n return cnt\n return cnt \ndef prefix2(a, b, num):\n for i in range(num, -1, -1):\n if b.startswith(a[:i]):\n return i\ndef zfunc(str_):\n z = []\n k = len(str_)\n for i in range(len(str_)):\n z.append(prefix2(str_[i:], str_[: k - i], k - i))\n #z.append(prefix1(str_[i:], str_[: k - i])) #poor timing\n return z": 1.0, "def prefix1(a, b):\n cnt = 0\n for i, j in zip(a, b):\n if i == j:\n cnt += 1\n break # Bug: break statement is in the wrong place\n else:\n return cnt\n return cnt \ndef prefix2(a, b, num):\n for i in range(num, -1, -1):\n if b.startswith(a[:i]):\n return i\ndef zfunc(str_):\n z = []\n k = len(str_)\n for i in range(len(str_)):\n z.append(prefix2(str_[i:], str_[: k - i], k - i))\n #z.append(prefix1(str_[i:], str_[: k - i])) #poor timing\n return z": 0.0, "def prefix1(a, b):\n cnt = 0\n for i, j in zip(a, b):\n if i == j:\n cnt += 1\n else:\n return cnt\n return cnt \ndef prefix2(a, b, num):\n for i in range(num, -1, -1):\n if b.startswith(a[:i]):\n return i\n return # Bug: extra return statement\ndef zfunc(str_):\n z = []\n k = len(str_)\n for i in range(len(str_)):\n z.append(prefix2(str_[i:], str_[: k - i], k - i))\n #z.append(prefix1(str_[i:], str_[: k - i])) #poor timing\n return z": 0.0, "def prefix1(x, y): # Bug: incorrectly named variables\n cnt = 0\n for i, j in zip(x, y):\n if i == j:\n cnt += 1\n else:\n return cnt\n return cnt \ndef prefix2(a, b, num):\n for i in range(num, -1, -1):\n if b.startswith(a[:i]):\n return i\ndef zfunc(str_):\n z = []\n k = len(str_)\n for i in range(len(str_)):\n z.append(prefix2(str_[i:], str_[: k - i], k - i))\n #z.append(prefix1(str_[i:], str_[: k - i])) #poor timing\n return z": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe goal of this Kata is to remind/show you, how Z-algorithm works and test your implementation.\n\n\n\nFor a string str[0..n-1], Z array is of same length as string. An element Z[i] of Z array stores length of the longest substring starting from str[i] which is also a prefix of str[0..n-1]. The first entry of Z array is meaning less as complete string is always prefix of itself.\n\n\n\nExample:\n\n\n\nIndex: 0 1 2 3 4 5 6 7 8 9 10 11\n\n\n\n\n\nText: \"a a b c a a b x a a a z\"\n\n\n\n\n\nZ values: [11, 1, 0, 0, 3, 1, 0, 0, 2, 2, 1, 0]\n\n\n\n\n\n\n\nYour task will be to implement Z algorithm in your code and return Z-array.\n\n\n\nFor empty string algorithm should return [].\n\n\n\nInput: string str \n\n\n\nOutput: Z array\n\n\n\nFor example:\n\n\n\nprint zfunc('ababcaba')\n\n\n\n[8, 0, 2, 0, 0, 3, 0, 1]\n\n\n\nNote, that an important part of this kata is that you have to use\n\nefficient way to get Z-array (O(n))\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7.\n\nSnuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation:\n\n - Operation: Rotate the die 90\u00b0 toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward.\n\nFor example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure.\n\nIf the die is rotated toward the right as shown in the figure, the side showing 3 will face upward.\n\nBesides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back.\n\nFind the minimum number of operation Snuke needs to perform in order to score at least x points in total.\n\n\n\n-----Constraints-----\n\n - 1 \u2266 x \u2266 10^{15}\n\n - x is an integer.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nx\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n7\n\n\n\n-----Sample Output-----\n\n2", "responses": { "x = int(input())\nif x <= 6:\n print((1))\n return\nelif 7 < x <= 11:\n print((2))\n return\nelse:\n n = x//11\n if x - n*11 == 0:\n print((2*n))\n return\n elif x - n*11 <= 6:\n print((2*n+1))\n else:\n print((2*n+2))": 1.0, "x = int(input())\nif x <= 6:\n print((1))\n return\nelif 7 < x <= 11:\n print((2))\n return\nelse:\n n = x//11\n if x - n*11 == 0:\n print((2*n))\n return\n elif x - n*11 <= 6:\n print((2*n+1))\n else:\n print((2*n+2))\n return": 0.0, "x = int(input())\nif x <= 6:\n print((1))\n return\nelif 7 < x <= 11:\n print((2))\n else\n n = x//11\n if x - n*11 == 0:\n print((2*n))\n return\n elif x - n*11 <= 6:\n print((2*n+1))\n else:\n print((2*n+2))\n return": 0.0, "x = int(input())\nif x <= 6:\n print((1))\n return\nelif 7 < x <= 11:\n print((2))\n return\nelse:\n n = x//11\n if x - n*11 == 0:\n print((2*n))\n return\n elif x - n*11 <= 6:\n print((2*n+1))\n else:\n print((2*n+2))\n return": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSnuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7.\n\nSnuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation:\n\n - Operation: Rotate the die 90\u00b0 toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward.\n\nFor example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure.\n\nIf the die is rotated toward the right as shown in the figure, the side showing 3 will face upward.\n\nBesides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back.\n\nFind the minimum number of operation Snuke needs to perform in order to score at least x points in total.\n\n\n\n-----Constraints-----\n\n - 1 \u2266 x \u2266 10^{15}\n\n - x is an integer.\n\n\n\n-----Input-----\n\nThe input is given from Standard Input in the following format:\n\nx\n\n\n\n-----Output-----\n\nPrint the answer.\n\n\n\n-----Sample Input-----\n\n7\n\n\n\n-----Sample Output-----\n\n2\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B.", "responses": { "class Solution:\n def smallestDistancePair(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: int\n \"\"\"\n nums.sort()\n l, r = 0, nums[-1] - nums[0]\n \n while l < r:\n m = l + (r - l) // 2\n count = 0\n left = 0\n for right in range(len(nums)):\n while nums[right] - nums[left] > m: left += 1\n count += (right - left) \n if count < k :\n l = m+1\n else:\n r = m\n return l\n \n ": 1.0, "class Solution:\n def smallestDistancePair(self, nums, k):\n nums.sort()\n l, r = 0, nums[-1] - nums[0]\n \n while l < r:\n m = l + (r - l) // 2\n count = 0\n left = 0\n for right in range(len(nums)):\n while nums[right] - nums[left] > m; left += 1\n count += (right - left) \n if count < k :\n l = m+1\n else:\n r = m\n return l": 0.0, "class Solution:\n def smallestDistancePair(self, nums, k):\n nums.sort()\n l, r = 0, nums[-1] - nums[0]\n \n while l < r\n m = l + (r - l) // 2\n count = 0\n left = 0\n for right in range(len(nums)):\n while nums[right] - nums[left] > m: left += 1\n count += (right - left) \n if count < k :\n l = m+1\n else:\n r = m\n return l": 0.0, "class Solution:\n def smallestDistancePair(self, nums, k):\n nums.sort()\n l, r = 0, nums[-1] - nums[0]\n \n while l < r:\n m = l + (r - l) // 2\n count = 0\n left = 0\n for right in range(len(nums)):\n while nums[right] - nums[left] > m: left -- 1\n count += (right - left) \n if count < k :\n l = m+1\n else:\n r = m\n return l": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.\n\n\n\nBut I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than n. Can you help me to find the maximum possible least common multiple of these three integers?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 10^6) \u2014 the n mentioned in the statement.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible LCM of three not necessarily distinct positive integers that are not greater than n.", "responses": { "def gcd(a, b):\n c = a % b\n return gcd(b, c) if c else b\ns, a = 0, int(input())\nif a < 3: print(a)\nelse:\n while a ** 3 > s:\n b = a - 1\n while a * b * b > s:\n if gcd(a, b) == 1:\n d = a * b\n c = b - 1\n while d * c > s:\n if gcd(c, d) == 1: s = d * c\n c -= 1\n b -= 1\n a -= 1\n print(s)": 1.0, "from math import gcd\n\ndef lcm(a, b):\n return abs(a * b) // gcd(a, b)\n\ndef max_lcm(n):\n if n < 3:\n return n\n else:\n max_lcm_val = lcm(lcm(n, n-1), n+2) # Bug: Should be n-2 instead of n+2\n return max_lcm_val\n\n\nn = int(input())\nprint(max_lcm(n))": 0.0, "from math import gcd\n\ndef lcm(a, b):\n return abs(a * b) // gcd(a, b)\n\ndef max_lcm(n):\n if n < 3:\n return n\n else:\n max_lcm_val = lcm(lcm(n-1, n), n-2) # Bug: Parameters in lcm function are in wrong order\n return max_lcm_val\n\n\nn = int(input())\nprint(max_lcm(n))": 0.0, "from math import gcd\n\ndef lcm(a, b):\n return abs(a * b) // gcd(a, b)\n\ndef max_lcm(n):\n if n < 3:\n return n\n else:\n max_lcm_val = lcm(lcm(n, n), n-2) # Bug: Should pass two distinct integers instead of two same integers\n return max_lcm_val\n\n\nn = int(input())\nprint(max_lcm(n))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSome days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.\n\n\n\nBut I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than n. Can you help me to find the maximum possible least common multiple of these three integers?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer n (1 \u2264 n \u2264 10^6) \u2014 the n mentioned in the statement.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the maximum possible LCM of three not necessarily distinct positive integers that are not greater than n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Little Susie listens to fairy tales before bed every day. Today's fairy tale was about wood cutters and the little girl immediately started imagining the choppers cutting wood. She imagined the situation that is described below.\n\n\n\nThere are n trees located along the road at points with coordinates x_1, x_2, ..., x_{n}. Each tree has its height h_{i}. Woodcutters can cut down a tree and fell it to the left or to the right. After that it occupies one of the segments [x_{i} - h_{i}, x_{i}] or [x_{i};x_{i} + h_{i}]. The tree that is not cut down occupies a single point with coordinate x_{i}. Woodcutters can fell a tree if the segment to be occupied by the fallen tree doesn't contain any occupied point. The woodcutters want to process as many trees as possible, so Susie wonders, what is the maximum number of trees to fell. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) \u2014 the number of trees.\n\n\n\nNext n lines contain pairs of integers x_{i}, h_{i} (1 \u2264 x_{i}, h_{i} \u2264 10^9) \u2014 the coordinate and the height of the \u0456-th tree.\n\n\n\nThe pairs are given in the order of ascending x_{i}. No two trees are located at the point with the same coordinate.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the maximum number of trees that you can cut down by the given rules.", "responses": { "n = int(input())\np = -float(\"INF\")\nans = 1\nA = []\nfor i in range(n) :\n x, h = list(map(int, input().split()))\n A.append([x,h])\nfor i in range(n-1) :\n x, h = A[i]\n if x-h > p :\n ans += 1\n p = x\n elif x+h < A[i+1][0] :\n ans += 1\n p = x+h\n else :\n p = x\nprint(ans)": 1.0, "n = int(input())\nans = 1\nA = []\nfor i in range(n-1) :\n x, h = A[i]\n if x-h > p :\n ans += 1\n p = x\n elif x+h < A[i+1][0] :\n ans += 1\n p = x+h\n else :\n p = x\nprint(ans)": 0.0, "n = int(input())\np = -float(\"INF\")\nans = 1\nA = []\nfor i in range(n) :\n x, h = list(map(int, input().split()))\n A[i] = [x,h]\nfor i in range(n-1) :\n x, h = A[i]\n if x-h > p :\n ans += 1\n p = x\n elif x+h < A[i+1][0] :\n ans += 1\n p = x+h\n else :\n p = x\nprint(ans)": 0.0, "n = int(input())\np = -float(\"INF\")\nans = 1\nA = []\nfor i in range(n) :\n x, h = list(map(int, input().split()))\n A.append([x,h])\nfor i in range(n-1) :\n x, h = A[i]\n if x-h > p :\n ans += 1\n p = x\n elif x+h >= A[i+1][0] :\n p = x\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLittle Susie listens to fairy tales before bed every day. Today's fairy tale was about wood cutters and the little girl immediately started imagining the choppers cutting wood. She imagined the situation that is described below.\n\n\n\nThere are n trees located along the road at points with coordinates x_1, x_2, ..., x_{n}. Each tree has its height h_{i}. Woodcutters can cut down a tree and fell it to the left or to the right. After that it occupies one of the segments [x_{i} - h_{i}, x_{i}] or [x_{i};x_{i} + h_{i}]. The tree that is not cut down occupies a single point with coordinate x_{i}. Woodcutters can fell a tree if the segment to be occupied by the fallen tree doesn't contain any occupied point. The woodcutters want to process as many trees as possible, so Susie wonders, what is the maximum number of trees to fell. \n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer n (1 \u2264 n \u2264 10^5) \u2014 the number of trees.\n\n\n\nNext n lines contain pairs of integers x_{i}, h_{i} (1 \u2264 x_{i}, h_{i} \u2264 10^9) \u2014 the coordinate and the height of the \u0456-th tree.\n\n\n\nThe pairs are given in the order of ascending x_{i}. No two trees are located at the point with the same coordinate.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single number \u2014 the maximum number of trees that you can cut down by the given rules.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the coordinates of four points in 2D space, return whether the four points could construct a square.\n\n\n\nThe coordinate (x,y) of a point is represented by an integer array with two integers.\n\n\n\nExample:\n\n\n\nInput: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]\n\nOutput: True\n\n\n\n\n\n\n\n Note: \n\n\n\nAll the input integers are in the range [-10000, 10000].\n\nA valid square has four equal sides with positive length and four equal angles (90-degree angles).\n\nInput points have no order.", "responses": { "class Solution:\n def validSquare(self, p1, p2, p3, p4):\n \"\"\"\n :type p1: List[int]\n :type p2: List[int]\n :type p3: List[int]\n :type p4: List[int]\n :rtype: bool\n \"\"\"\n \n def length(x,y):\n return (x[0]-y[0])*(x[0]-y[0]) + (x[1]-y[1])*(x[1]-y[1])\n \n res = []\n a1 = length(p1,p2)\n a2 = length(p1,p3)\n a3 = length(p1,p4)\n a4 = length(p2,p3) \n a5 = length(p2,p4)\n a6 = length(p3,p4) \n res = [a1,a2,a3,a4,a5,a6] \n res = sorted(res);\n \n for i in range(3):\n if res[i] == res[i+1]:\n continue\n else:\n return False\n if res[4] != res[5]:\n return False\n if res[0] != 0:\n return True\n else: \n return False": 1.0, "class Solution:\n def validSquare(self, p1, p2, p3, p4):\n \"\"\"\n :type p1: List[int]\n :type p2: List[int]\n :type p3: List[int]\n :type p4: List[int]\n :rtype: bool\n \"\"\"\n \n def length(x,y):\n return (x[0]-y[0])*(x[0]-y[0]) + (x[1]-y[1])*(x[1]-y[1])\n \n res = []\n a1 = length(p1,p2)\n a2 = length(p1,p3)\n a3 = length(p1,p4)\n a4 = length(p2,p3) \n a5 = length(p2,p4)\n a6 = length(p3,p4) \n res = [a1,a2,a3,a4,a5,a6] \n res = sorted(res);\n \n for i in range(3):\n if res[i] == res[i+1]:\n continue\n else: pass # This line has incorrect indentation\n return False\n if res[4] != res[5]:\n return False\n if res[0] != 0:\n return True\n else: \n return False": 0.0, "class Solution:\n def validSquare(self, p1, p2, p3, p4):\n \"\"\"\n :type p1: List[int]\n :type p2: List[int]\n :type p3: List[int]\n :type p4: List[int]\n :rtype: bool\n \"\"\"\n \n def length(x,y):\n return (x[0]-y[0])*(x[0]-y[0]) + (x[1]-y[1])*(x[1]-y[1])\n \n res = []\n a1 = length(p1,p2)\n a2 = length(p1,p3)\n a3 = length(p1,p4)\n a4 = length(p2,p3) \n a5 = length(p2,p4)\n a6 = length(p3,p4) \n res = [a1,a2,a3,a4,a5,a6] \n res = sorted(res)\n \n for i in range(4): # Incorrect iteration range\n if res[i] == res[i+1]:\n continue\n else:\n return False\n if res[4] != res[5]:\n return False\n if res[0] != 0:\n return True\n else: \n return False": 0.0, "class Solution:\n def validSquare(self, p1, p2, p3, p4):\n \"\"\"\n :type p1: List[int]\n :type p2: List[int]\n :type p3: List[int]\n :type p4: List[int]\n :rtype: bool\n \"\"\"\n \n def length(x,y):\n return (x[0]-y[0])*(x[0]-y[0]) + (x[1]-y[1])*(x[1]-y[1])\n \n res = []\n a1 = length(p1,p2)\n a2 = length(p1,p3)\n a3 = length(p1,p4)\n a4 = length(p2,p3) \n a5 = length(p2,p4)\n a6 = length(p3,p4) \n res = [a1,a2,a3,a4,a5,a6] \n res = sorted(res);\n \n for i in range(3):\n if res[i] == res[i+1]:\n continue\n else:\n return True # Incorrect return value\n if res[4] != res[5]:\n return False\n if res[0] != 0:\n return True\n else: \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the coordinates of four points in 2D space, return whether the four points could construct a square.\n\n\n\nThe coordinate (x,y) of a point is represented by an integer array with two integers.\n\n\n\nExample:\n\n\n\nInput: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]\n\nOutput: True\n\n\n\n\n\n\n\n Note: \n\n\n\nAll the input integers are in the range [-10000, 10000].\n\nA valid square has four equal sides with positive length and four equal angles (90-degree angles).\n\nInput points have no order.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given string s. Your task is to determine if the given string s contains two non-overlapping substrings \"AB\" and \"BA\" (the substrings can go in any order).\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of input contains a string s of length between 1 and 10^5 consisting of uppercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without the quotes), if string s contains two non-overlapping substrings \"AB\" and \"BA\", and \"NO\" otherwise.", "responses": { "a = []\nb = []\nx = input()\nfor i in range(len(x)-1):\n if x[i]+x[i+1] == 'AB':\n a.append(i)\n elif x[i]+x[i+1] == 'BA':\n b.append(i)\nif a == [] or b == []:\n print(\"NO\")\n quit()\n \nif abs(min(a)-max(b))>1 or abs(max(a)-min(b))>1:\n print(\"YES\")\n quit()\nprint(\"NO\")": 1.0, "a = []\nb = []\nx = input()\nfor i in range(len(x)-1):\n if x[i]+x[i+1] == 'AB':\n a.append(i)\n elif x[i]+x[i+1] == 'AB':\n b.append(i)\nif a == [] or b == []:\n print(\"NO\")\n quit()\n \nif abs(min(a)-max(b))>1 or abs(max(a)-min(b))>1:\n print(\"YES\")\n quit()\nprint(\"NO\")": 0.0, "a = []\nb = []\nx = input()\nfor i in range(len(x)-1):\n if x[i]+x[i+1] == 'AB':\n a.append(i)\n if x[i]+x[i+1] == 'BA':\n b.append(i)\nif a == [] or b == []:\n print(\"NO\")\n quit()\n \nif abs(min(a)-max(b))>1 or abs(max(a)-min(b))>1:\n print(\"YES\")\n quit()\nprint(\"NO\")": 0.0, "a = []\nb = []\nx = input()\nfor i in range(len(x)-1):\n if x[i]+x[i+1] == 'BA':\n a.append(i)\n elif x[i]+x[i+1] == 'BA':\n b.append(i)\nif a == [] or b == []:\n print(\"NO\")\n quit()\n \nif abs(min(a)-max(b))>1 or abs(max(a)-min(b))>1:\n print(\"YES\")\n quit()\nprint(\"NO\")": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given string s. Your task is to determine if the given string s contains two non-overlapping substrings \"AB\" and \"BA\" (the substrings can go in any order).\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of input contains a string s of length between 1 and 10^5 consisting of uppercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"YES\" (without the quotes), if string s contains two non-overlapping substrings \"AB\" and \"BA\", and \"NO\" otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You have an initial power P, an initial score of 0 points, and a bag of tokens.\n\nEach token can be used at most once, has a value token[i], and has potentially two ways to use it.\n\n\n\nIf we have at least token[i] power, we may play the token face up, losing token[i] power, and gaining 1 point.\n\nIf we have at least 1 point, we may play the token face down, gaining token[i] power, and losing 1 point.\n\n\n\nReturn the largest number of points we can have after playing any number of tokens.", "responses": { "class Solution:\n def bagOfTokensScore(self, tokens: List[int], P: int) -> int:\n tokens = sorted(tokens)\n left = 0\n right = len(tokens) - 1\n points = 0\n if len(tokens) == 1:\n if tokens[0] <= P:\n return 1\n if len(tokens) == 0:\n return 0\n while left < right:\n if tokens[left] <= P:\n P -= tokens[left]\n left += 1\n points += 1\n elif tokens[left] > P and points > 0:\n P += tokens[right]\n points -= 1\n right -= 1\n \n \n elif points == 0 and tokens[left] > P:\n break\n if P >= tokens[left]:\n points += 1\n return points": 1.0, "class Solution:\n def bagOfTokensScore(self, tokens: List[int], P: int) -> int:\n tokens = sorted(tokens)\n left = 0\n right = len(tokens) - 1\n points = 0\n if len(tokens) == 0: # Bug: Incorrect condition for an empty tokens list\n return 1 # Bug: Incorrect return value for an empty tokens list\n if len(tokens) == 1:\n if tokens[0] <= P:\n return 1\n while left < right:\n if tokens[left] <= P:\n P -= tokens[left]\n left += 1\n points += 1\n elif tokens[left] > P and points > 0:\n P += tokens[right]\n points -= 1\n right -= 1\n elif points == 0 and tokens[left] > P:\n break\n if P >= tokens[left]:\n points += 1\n return points": 0.0, "class Solution:\n def bagOfTokensScore(self, tokens: List[int], P: int) -> int:\n tokens = sorted(tokens)\n left = 0\n right = len(tokens) - 1\n points = 0\n if len(tokens) == 1:\n if tokens[0] <= P:\n return 1\n if len(tokens) == 0:\n return 0\n while left < right:\n if tokens[left] <= P:\n P -= tokens[left]\n left += 1\n points += 1\n elif tokens[left] > P or points == 0: # Bug: Incorrect condition for using token face down\n P += tokens[right] # Bug: Incorrect calculation for gaining power\n points -= 1\n right -= 1\n elif points == 0 and tokens[left] > P:\n break\n if P >= tokens[left]:\n points += 1\n return points": 0.0, "class Solution:\n def bagOfTokensScore(self, tokens: List[int], P: int) -> int:\n tokens = sorted(tokens)\n left = 0\n right = len(tokens) - 1\n points = 0\n if len(tokens) == 1:\n if tokens[0] <= P:\n return 1\n if len(tokens) == 0:\n return 0\n while left < right:\n if tokens[left] <= P:\n P -= tokens[left]\n left += 1\n points += 1\n elif tokens[left] > P and points > 0:\n P += tokens[right]\n points -= 1\n right -= 1\n else:\n break # Bug: Missing condition to exit the loop\n if P >= tokens[left]:\n points += 1\n return points": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have an initial power P, an initial score of 0 points, and a bag of tokens.\n\nEach token can be used at most once, has a value token[i], and has potentially two ways to use it.\n\n\n\nIf we have at least token[i] power, we may play the token face up, losing token[i] power, and gaining 1 point.\n\nIf we have at least 1 point, we may play the token face down, gaining token[i] power, and losing 1 point.\n\n\n\nReturn the largest number of points we can have after playing any number of tokens.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given positive integers A and B.\n\nFind the K-th largest positive integer that divides both A and B.\n\nThe input guarantees that there exists such a number.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq A, B \\leq 100\n\n - The K-th largest positive integer that divides both A and B exists.\n\n - K \\geq 1\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nA B K\n\n\n\n-----Output-----\n\nPrint the K-th largest positive integer that divides both A and B.\n\n\n\n-----Sample Input-----\n\n8 12 2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nThree positive integers divides both 8 and 12: 1, 2 and 4.\n\nAmong them, the second largest is 2.", "responses": { "A, B, K = map(int, input().split())\ndef make_divisors(n):\n divisors = []\n for i in range(1, int(n**.5)+1):\n if n % i == 0:\n divisors.append(i)\n if i != n //i:\n divisors.append(n//i)\n divisors.sort()\n return divisors\ndiv_A = make_divisors(A)\ndiv_B = make_divisors(B)\nl = []\nfor i in div_A:\n for j in div_B:\n if i == j:\n l.append(i)\nprint(l[-K])": 1.0, "A, B, K = map(int, input().split())\ndef make_divisors(n):\n divisors = []\n for i in range(1, int(n**.5)+1):\n if n % i == 0:\n divisors.append(i)\n if i != n //i:\n divisors.append(n//i)\n divisors.sort()\n return divisors\ndiv_A = make_divisors(A)\ndiv_B = make_divisors(B)\nl = []\nfor i in div_A:\n if i in div_B: # this is the bug\n l.append(i)\nprint(l[-K])": 0.0, "A, B, K = map(int, input().split())\ndef make_divisors(n):\n divisors = []\n for i in range(1, int(n**.5)+1):\n if n % i == 0:\n divisors.append(i)\n if i != n //i:\n divisors.append(n//i)\n divisors.sort()\n return divisors\ndiv_A = make_divisors(A)\ndiv_B = make_divisors(B)\nl = []\nfor i in div_B: # this is the bug\n for j in div_A: # this is the bug\n if i == j:\n l.append(i)\nprint(l[-K])": 0.0, "A, B, K = map(int, input().split())\ndef make_divisors(n):\n divisors = []\n for i in range(1, int(n**.5)+1):\n if n % i == 0:\n divisors.append(i)\n if i != n //i:\n divisors.append(n//i)\n #divisors.sort() this is the bug\n return divisors\ndiv_A = make_divisors(A)\ndiv_B = make_divisors(B)\nl = []\nfor i in div_A:\n for j in div_B:\n if i == j:\n l.append(i)\nprint(l[-K])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given positive integers A and B.\n\nFind the K-th largest positive integer that divides both A and B.\n\nThe input guarantees that there exists such a number.\n\n\n\n-----Constraints-----\n\n - All values in input are integers.\n\n - 1 \\leq A, B \\leq 100\n\n - The K-th largest positive integer that divides both A and B exists.\n\n - K \\geq 1\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nA B K\n\n\n\n-----Output-----\n\nPrint the K-th largest positive integer that divides both A and B.\n\n\n\n-----Sample Input-----\n\n8 12 2\n\n\n\n-----Sample Output-----\n\n2\n\n\n\nThree positive integers divides both 8 and 12: 1, 2 and 4.\n\nAmong them, the second largest is 2.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are N rooms and you start in room 0.\u00a0 Each room has a distinct number in 0, 1, 2, ..., N-1, and each room may have\u00a0some keys to access the next room.\u00a0\n\nFormally, each room i\u00a0has a list of keys rooms[i], and each key rooms[i][j] is an integer in [0, 1, ..., N-1] where N = rooms.length.\u00a0 A key rooms[i][j] = v\u00a0opens the room with number v.\n\nInitially, all the rooms start locked (except for room 0).\u00a0\n\nYou can walk back and forth between rooms freely.\n\nReturn true\u00a0if and only if you can enter\u00a0every room.", "responses": { "class Solution:\n def canVisitAllRooms(self, rooms: List[List[int]]) -> bool:\n def dfs(node, visited):\n if node in visited:\n return\n visited.add(node)\n for nei in rooms[node]:\n if nei in visited:\n continue\n dfs(nei,visited)\n return\n visited = set()\n dfs(0, visited)\n if len(visited) == len(rooms):\n return True\n else: \n return False\n ": 1.0, "class Solution:\n def canVisitAllRooms(self, rooms: List[List[int]]) -> bool:\n def dfs(node, visited):\n if node in visited:\n return\n visited.add(node)\n for nei in rooms[node]:\n if nei in visited:\n return\n dfs(nei,visited)\n return\n visited = set()\n dfs(0, visited)\n if len(visited) == len(rooms):\n return True\n else: \n return False": 0.0, "class Solution:\n def canVisitAllRooms(self, rooms: List[List[int]]) -> bool:\n def dfs(node, visited):\n if node in visited:\n return\n visited.add(node)\n for nei in rooms[node]:\n if nei not in visited: # Fixed bug by changing 'in' to 'not in'\n dfs(nei,visited)\n return\n visited = set()\n dfs(0, visited)\n if len(visited) == len(rooms):\n return True\n else: \n return False": 0.0, "class Solution:\n def canVisitAllRooms(self, rooms: List[List[int]]) -> bool:\n def bfs(node, visited): # Changed dfs to bfs\n queue = [node]\n visited.add(node)\n while queue:\n current = queue.pop(0)\n for nei in rooms[current]:\n if nei in visited:\n continue\n visited.add(nei)\n queue.append(nei)\n visited = set()\n bfs(0, visited)\n if len(visited) == len(rooms):\n return True\n else: \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are N rooms and you start in room 0.\u00a0 Each room has a distinct number in 0, 1, 2, ..., N-1, and each room may have\u00a0some keys to access the next room.\u00a0\n\nFormally, each room i\u00a0has a list of keys rooms[i], and each key rooms[i][j] is an integer in [0, 1, ..., N-1] where N = rooms.length.\u00a0 A key rooms[i][j] = v\u00a0opens the room with number v.\n\nInitially, all the rooms start locked (except for room 0).\u00a0\n\nYou can walk back and forth between rooms freely.\n\nReturn true\u00a0if and only if you can enter\u00a0every room.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Many modern text editors automatically check the spelling of the user's text. Some editors even suggest how to correct typos.\n\n\n\nIn this problem your task to implement a small functionality to correct two types of typos in a word. We will assume that three identical letters together is a typo (for example, word \"helllo\" contains a typo). Besides, a couple of identical letters immediately followed by another couple of identical letters is a typo too (for example, words \"helloo\" and \"wwaatt\" contain typos).\n\n\n\nWrite a code that deletes the minimum number of letters from a word, correcting described typos in the word. You are allowed to delete letters from both ends and from the middle of the word.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line of the input contains word s, its length is from 1 to 200000 characters. The given word s consists of lowercase English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint such word t that it doesn't contain any typos described in the problem statement and is obtained from s by deleting the least number of letters.\n\n\n\nIf there are multiple solutions, print any of them.", "responses": { "s = input().strip()\nif len(s)<=2:\n print(s)\n return\nne = s[0]+s[1]\nfor i in range(2,len(s)):\n if s[i]!=s[i-1] or s[i]!=s[i-2]:\n ne+=s[i]\nne2 = ne[:3]\nfor i in range(3,len(ne),1):\n if ne2[-3]==ne2[-2] and ne2[-1]==ne[i]:\n pass\n else:\n ne2+=ne[i]\nprint(ne2)": 1.0, "s = input().strip()\nif len(s)<=2:\nprint(s)\nreturn\nne = s[0]+s[1]\nfor i in range(2,len(s)):\nif s[i]!=s[i-1] or s[i]!=s[i-2]:\n ne+=s[i]\nne2 = ne[:3]\nfor i in range(3,len(ne),1):\n if ne2[-3]==ne2[-2] and ne2[-1]==ne[i]:\n pass\n else:\n ne2+=ne[i]\nprint(ne2)": 0.0, "s = input().strip()\nif len(s)<=2:\n print(s)\n return\nne = s[0]+s[1]\nfor i in range(2,len(s)):\nif s[i]!=s[i-1] or s[i]!=s[i-2]:\nne+=s[i]\nne2 = ne[:3]\nfor i in range(3,len(ne),1):\nif ne2[-3]==ne2[-2] and ne2[-1]==ne[i]:\npass\nelse:\nne2+=ne[i]\nprint(ne2)": 0.0, "s = input().strip()\nif len(s)<=2:\n print(s)\n return\nne = s[0]+s[1]\nfor i in range(2,len(s)):\n if s[i]!=s[i-1] or s[i]!=s[i-2]:\n ne+=s[i]\nne2 = ne[:3]\nfor i in range(3,len(ne),1):\nif ne2[-3]==ne2[-2] and ne2[-1]==ne[i]:\n pass\n else:\n ne2+=ne[i]\nprint(ne2)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nMany modern text editors automatically check the spelling of the user's text. Some editors even suggest how to correct typos.\n\n\n\nIn this problem your task to implement a small functionality to correct two types of typos in a word. We will assume that three identical letters together is a typo (for example, word \"helllo\" contains a typo). Besides, a couple of identical letters immediately followed by another couple of identical letters is a typo too (for example, words \"helloo\" and \"wwaatt\" contain typos).\n\n\n\nWrite a code that deletes the minimum number of letters from a word, correcting described typos in the word. You are allowed to delete letters from both ends and from the middle of the word.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line of the input contains word s, its length is from 1 to 200000 characters. The given word s consists of lowercase English letters.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint such word t that it doesn't contain any typos described in the problem statement and is obtained from s by deleting the least number of letters.\n\n\n\nIf there are multiple solutions, print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string which consists of lowercase or uppercase letters, find the length of the longest palindromes that can be built with those letters.\n\n\n\nThis is case sensitive, for example \"Aa\" is not considered a palindrome here.\n\n\n\nNote:\n\nAssume the length of given string will not exceed 1,010.\n\n\n\n\n\nExample: \n\n\n\nInput:\n\n\"abccccdd\"\n\n\n\nOutput:\n\n7\n\n\n\nExplanation:\n\nOne longest palindrome that can be built is \"dccaccd\", whose length is 7.", "responses": { "class Solution:\n def longestPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n re = 0\n set_s = set(s)\n flag = False\n for x in set_s:\n if s.count(x) % 2 == 0:\n re += s.count(x)\n elif s.count(x) >= 3 :\n re += s.count(x)-1\n flag =True\n elif s.count(x) == 1:\n flag =True\n if flag == True :\n re += 1\n return re\n ": 1.0, "class Solution:\n def longestPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n re = 0\n set_s = set(s)\n flag = False\n for x in set_s:\n if s.count(x) % 2 == 0:\n re += s.count(x)\n elif s.count(x) >= 3 :\n re += s.count(x)-1\n flag =True\n elif s.count(x) == 1:\n flag =False # <-- bug here, should be True\n if flag == True :\n re += 1\n return re": 0.0, "class Solution:\n def longestPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n re = 0\n set_s = set(s)\n flag = False\n for x in set_s:\n if s.count(x) % 2 == 0:\n re += s.count(x)\n elif s.count(x) >= 3 :\n re += s.count(x)-1\n flag =True\n if flag == 0 : # <-- bug here, should be True\n re += 1\n return re": 0.0, "class Solution:\n def longestPalindrome(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n re = 0\n set_s = set(s)\n flag = False\n for x in set_s:\n if s.count(x) % 2 == 0:\n re += s.count(x)\n elif s.count(x) >= 3 :\n re += s.count(x)-1\n flag ==True # <-- bug here, should be flag = True\n if flag == True :\n re += 1\n return re": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string which consists of lowercase or uppercase letters, find the length of the longest palindromes that can be built with those letters.\n\n\n\nThis is case sensitive, for example \"Aa\" is not considered a palindrome here.\n\n\n\nNote:\n\nAssume the length of given string will not exceed 1,010.\n\n\n\n\n\nExample: \n\n\n\nInput:\n\n\"abccccdd\"\n\n\n\nOutput:\n\n7\n\n\n\nExplanation:\n\nOne longest palindrome that can be built is \"dccaccd\", whose length is 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In this Kata, you will be given a number and your task will be to rearrange the number so that it is divisible by `25`, but without leading zeros. Return the minimum number of digit moves that are needed to make this possible. If impossible, return `-1` ( `Nothing` in Haskell ).\n\n\n\nFor example:\n\n\n\nMore examples in test cases.\n\n\n\nGood luck!", "responses": { "def solve(n):\n moves = []\n for a, b in [\"25\", \"75\", \"50\", \"00\"]:\n s = str(n)[::-1]\n x = s.find(a)\n y = s.find(b, x+1 if a == \"0\" else 0)\n if x == -1 or y == -1:\n continue\n moves.append(x + y - (x > y) - (a == b))\n s = s.replace(a, \"\", 1).replace(b, \"\", 1)\n l = len(s.rstrip(\"0\"))\n if l:\n moves[-1] = moves[-1] + (len(s) - l)\n elif s:\n moves.pop()\n return min(moves, default=-1)": 1.0, "def solve(n):\n moves = []\n for a, b in [\"25\", \"75\", \"50\", \"00\"]:\n s = str(n)[::-1]\n x = s.find(a)\n y = s.find(b, x+1 if a == \"0\" else 0)\n if x == -1 or y == -1:\n continue\n moves.append(x + y - (x > y) - (a == b))\n s = s.replace(a, \"\", 1).replace(b, \"\", 1)\n l = len(s.rstrip(\"0\"))\n if l:\n moves[-1] = moves[-1] + (len(s) + l)\n elif s:\n moves.pop()\n return min(moves, default=-1)": 0.0, "def solve(n):\n moves = []\n for a, b in [\"25\", \"75\", \"50\", \"00\"]:\n s = str(n)[::-1]\n x = s.find(a)\n y = s.find(b, x+1 if a == \"0\" else 0)\n if x == -1 or y == -1:\n continue\n moves.append(x + y - (x < y) - (a == b))\n s = s.replace(a, \"\", 1).replace(b, \"\", 1)\n l = len(s.rstrip(\"0\"))\n if l:\n moves[-1] = moves[-1] + (len(s) - l)\n elif s:\n moves.pop()\n return min(moves, default=-1)": 0.0, "def solve(n):\n moves = []\n for a, b in [\"25\", \"75\", \"50\", \"00\"]:\n s = str(n)[::-1]\n x = s.find(a)\n y = s.find(b, x+1 if a == \"0\" else 0)\n if x == -1 or y == -1:\n continue\n moves.append(x + y - (x > y) + (a == b))\n s = s.replace(a, \"\", 1).replace(b, \"\", 1)\n l = len(s.rstrip(\"0\"))\n if l:\n moves[-1] = moves[-1] + (len(s) - l)\n elif s:\n moves.pop()\n return min(moves, default=-1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn this Kata, you will be given a number and your task will be to rearrange the number so that it is divisible by `25`, but without leading zeros. Return the minimum number of digit moves that are needed to make this possible. If impossible, return `-1` ( `Nothing` in Haskell ).\n\n\n\nFor example:\n\n\n\nMore examples in test cases.\n\n\n\nGood luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given the head of a linked list, we repeatedly delete consecutive sequences of nodes that sum to 0 until there are no such sequences.\n\nAfter doing so, return the head of the final linked list.\u00a0 You may return any such answer.\n\n\u00a0\n\n(Note that in the examples below, all sequences are serializations of ListNode objects.)", "responses": { "class Solution:\n def removeZeroSumSublists(self, head: ListNode) -> ListNode:\n \n seen={}\n seen[0]=dummy=ListNode(0)\n dummy.next=head\n prev=0\n \n while head:\n prev+=head.val\n seen[prev]=head\n head=head.__next__\n head=dummy\n prev=0\n \n while head:\n prev+=head.val\n head.next=seen[prev].__next__\n head=head.__next__\n return dummy.__next__\n \n ": 1.0, "class Solution:\n def removeZeroSumSublists(self, head: ListNode) -> ListNode:\n \n seen={}\n seen[0]=dummy=ListNode(0)\n dummy.next=head\n prev=0\n \n while head:\n prev+=head.val\n seen[prev-1]=head\n head=head.__next__\n head=dummy\n prev=0\n \n while head:\n prev+=head.val\n head.next=seen[prev].__next__\n head=head.__next__\n return dummy.__next__": 0.0, "class Solution:\n def removeZeroSumSublists(self, head: ListNode) -> ListNode:\n \n seen={}\n seen[0]=dummy=ListNode(0)\n dummy.next=head\n prev=0\n \n while head:\n prev+=head.val\n seen[-prev]=head\n head=head.__next__\n head=dummy\n prev=0\n \n while head:\n prev+=head.val\n head.next=seen[prev].__next__\n head=head.__next__\n return dummy.__next__": 0.0, "class Solution:\n def removeZeroSumSublists(self, head: ListNode) -> ListNode:\n \n seen={}\n seen[0]=dummy=ListNode(0)\n dummy.next=head\n prev=0\n \n while head:\n prev+=head.val\n seen[prev]=dummy\n head=head.__next__\n head=dummy\n prev=0\n \n while head:\n prev+=head.val\n head.next=seen[prev].__next__\n head=head.__next__\n return dummy.__next__": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven the head of a linked list, we repeatedly delete consecutive sequences of nodes that sum to 0 until there are no such sequences.\n\nAfter doing so, return the head of the final linked list.\u00a0 You may return any such answer.\n\n\u00a0\n\n(Note that in the examples below, all sequences are serializations of ListNode objects.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of integers and an integer k, find out whether there are two distinct indices i and j in the array such that nums[i] = nums[j] and the absolute difference between i and j is at most k.", "responses": { "class Solution:\n def containsNearbyDuplicate(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n s=set(nums)\n if len(s)==len(nums):return False\n d=dict()\n for num in nums:\n d[num]=d.get(num,0)+1\n for num in d:\n if d[num]>1:\n index1=-1\n index2=-1\n for i in range(len(nums)):\n if nums[i]==num and index1==-1:index1=i\n elif nums[i]==num and index2==-1:index2=i\n elif nums[i]==num and index1!=-1 and index2!=-1:\n index1=index2\n index2=i\n print(index2,index1)\n if index1!=-1 and index2!=-1 and abs(index2-index1)<=k:return True\n return False": 1.0, "class Solution:\n def containsNearbyDuplicate(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n s=set(nums)\n if len(s)==len(nums):return False\n d=dict()\n for num in nums:\n d[num]=d.get(num,0) # Missing a closing parenthesis on this line\n for num in d:\n if d[num]>1:\n index1=-1\n index2=-1\n for i in range(len(nums)):\n if nums[i]==num and index1==-1:index1=i\n elif nums[i]==num and index2==-1:index2=i\n elif nums[i]==num and index1!=-1 and index2!=-1:\n index1=index2\n index2=i\n print(index2,index1)\n if index1!=-1 and index2!=-1 and abs(index2-index1)<=k:return True\n return False": 0.0, "class Solution:\n def containsNearbyDuplicate(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n s=set(nums)\n if len(s)==len(nums):return False\n d=dict()\n for num in nums:\n d[num]=d.get(num,0)+1\n for num in d:\n if d[num]>1:\n index1=-1\n index2=-1\n for i in range(len(nums)):\n if nums[i]==num and index1==-1:index1=i\n elif nums[i]==num and index2==-1:index2=i # Indentation is incorrect on this line\n elif nums[i]==num and index1!=-1 and index2!=-1:\n index1=index2\n index2=i\n print(index2,index1)\n if index1!=-1 and index2!=-1 and abs(index2-index1)<=k:return True\n return False": 0.0, "class Solution:\n def containsNearbyDuplicate(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: bool\n \"\"\"\n s=set(nums)\n if len(s)==len(nums):return False\n d=dict()\n for num in nums:\n d[num]=d.get(num,0)+1\n for num in d:\n if d[num]>1:\n index1=-1\n index2=-1\n for i in range(len(nums)):\n if nums[i]==num and index1==-1:index1=i # One equals sign is missing on this line\n elif nums[i]==num and index2==-1:index2=i\n elif nums[i]==num and index1!=-1 and index2!=-1:\n index1=index2\n index2=i\n print(index2,index1)\n if index1!=-1 and index2!=-1 and abs(index2-index1)<=k:return True\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of integers and an integer k, find out whether there are two distinct indices i and j in the array such that nums[i] = nums[j] and the absolute difference between i and j is at most k.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are n kangaroos with pockets. Each kangaroo has a size (integer number). A kangaroo can go into another kangaroo's pocket if and only if the size of kangaroo who hold the kangaroo is at least twice as large as the size of kangaroo who is held.\n\n\n\nEach kangaroo can hold at most one kangaroo, and the kangaroo who is held by another kangaroo cannot hold any kangaroos.\n\n\n\nThe kangaroo who is held by another kangaroo cannot be visible from outside. Please, find a plan of holding kangaroos with the minimal number of kangaroos who is visible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer \u2014 n (1 \u2264 n \u2264 5\u00b710^5). Each of the next n lines contains an integer s_{i} \u2014 the size of the i-th kangaroo (1 \u2264 s_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer \u2014 the optimal number of visible kangaroos.", "responses": { "from time import perf_counter\nfrom sys import stdin\ndef run(n, s):\n m = 0\n small = n // 2\n for big in range(n-1, (n+1)//2-1, -1):\n while small >= 0 and s[small] > s[big] / 2:\n small -= 1\n if small == -1:\n break\n #print(small, big)\n small -= 1\n m += 1\n print(n-m)\ndef run2(n, s):\n r = n - 1\n l = n // 2 - 1\n result = 0\n while l >= 0:\n if s[l] * 2 <= s[r]:\n result += 1\n r -= 1\n l -= 1\n print(n - result)\nn = int(input())\ns = sorted([int(x) for x in stdin.read().strip().split('\\n')])\nrun(n, s)": 1.0, "from time import perf_counter\nfrom sys import stdin\ndef run(n, s):\n m = 0\n small = n // \n for big in range(n-1, (n+1)//2-1, -1):\n while small >= 0 and s[small] > s[big] / 2:\n small -= 1\n if small == -1:\n break\n #print(small, big)\n small -= 1\n m += 1\n print(n-m)\ndef run2(n, s):\n r = n - 1\n l = n // 2 - 1\n result = 0\n while l >= 0:\n if s[l] * 2 <= s[r]:\n result += 1\n r -= 1\n l -= 1\n print(n - result)\nn = int(input())\ns = sorted([int(x) for x in stdin.read().strip().split('\\n')])\nrun(n, s)": 0.0, "from time import perf_counter\nfrom sys import stdin\ndef run(n, s):\n m = 0\n small = n // 2\n for big in range(n-1, (n+1)//2-1, -1):\n while small >= 0 and s[small] > s[big] / 2:\n small -= 1\n if small == -1:\n break\n #print(small, big)\n small -= 1\n m += 1\n print(n-m)\ndef run2(n, s):\n r = n - 1\n l = n // \n result = 0\n while l >= 0:\n if s[l] * 2 <= s[r]:\n result += 1\n r -= 1\n l -= 1\n print(n - result)\nn = int(input())\ns = sorted([int(x) for x in stdin.read().strip().split('\\n')])\nrun(n, s)": 0.0, "from time import perf_counter\nfrom sys import stdin\ndef run(n, s):\n m = 0\n small = n // 2\n for big in range(n-1, (n+1)//2-1, -1):\n while small >= 0 and s[small] > s[big] / 2:\n small -= 1\n if small == -1:\n break\n #print(small, big)\n small -= 1\n m += 1\n print(n-m)\ndef run2(n, s):\n r = n - 1\n l = n //\n result = 0\n while l >= 0:\n if s[l] * 2 <= s[r]:\n result += 1\n r -= 1\n l -= 1\n print(n - result)\nn = int(input())\ns = sorted([int(x) for x in stdin.read().strip().split('\\n')])\nrun(n, s)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are n kangaroos with pockets. Each kangaroo has a size (integer number). A kangaroo can go into another kangaroo's pocket if and only if the size of kangaroo who hold the kangaroo is at least twice as large as the size of kangaroo who is held.\n\n\n\nEach kangaroo can hold at most one kangaroo, and the kangaroo who is held by another kangaroo cannot hold any kangaroos.\n\n\n\nThe kangaroo who is held by another kangaroo cannot be visible from outside. Please, find a plan of holding kangaroos with the minimal number of kangaroos who is visible.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer \u2014 n (1 \u2264 n \u2264 5\u00b710^5). Each of the next n lines contains an integer s_{i} \u2014 the size of the i-th kangaroo (1 \u2264 s_{i} \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer \u2014 the optimal number of visible kangaroos.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a non-negative integer, you could swap two digits at most once to get the maximum valued number. Return the maximum valued number you could get.", "responses": { "class Solution:\n def maximumSwap(self, num):\n \"\"\"\n :type num: int\n :rtype: int\n \"\"\"\n s = str(num)\n nums = [int(_) for _ in s]\n dp = [-1]*len(nums)\n for i in range(len(nums)-1,-1,-1):\n if i==len(nums)-1:\n dp[i] = i\n else:\n dp[i] = i if nums[i]>nums[dp[i+1]] else dp[i+1]\n \n for i in range(len(nums)):\n if nums[i] != nums[dp[i]]:\n nums[i],nums[dp[i]] = nums[dp[i]],nums[i]\n break\n res = 0\n for num in nums:\n res = res*10 + num\n return res\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n ": 1.0, "class Solution:\n def maximumSwap(self, num):\n \"\"\"\n :type num: int\n :rtype: int\n \"\"\"\n s = str(num)\n nums = [int(_) for _ in s]\n dp = [-1]*len(nums)\n for i in range(len(nums)-1,-1,-1):\n if i==len(nums)-1:\n dp[i] = i\n else:\n dp[i] = i if nums[i]nums[dp[i+1]] else dp[i+1]\n \n for i in range(len(nums)):\n if nums[i] == nums[dp[i]]:\n nums[i],nums[dp[i]] = nums[dp[i]],nums[i]\n break\n res = 0\n for num in nums:\n res = res*10 + num\n return res": 0.0, "class Solution:\n def maximumSwap(self, num):\n \"\"\"\n :type num: int\n :rtype: int\n \"\"\"\n s = str(num)\n nums = [int(_) for _ in s]\n dp = [-1]*len(nums)\n for i in range(len(nums)-1,-1,-1):\n if i==len(nums)-1:\n dp[i] = i\n else:\n dp[i] = i if nums[i]>nums[dp[i+1]] else dp[i+1]\n \n for i in range(len(nums)-1):\n if nums[i] != nums[dp[i]]:\n nums[i],nums[dp[i]] = nums[dp[i]],nums[i]\n break\n res = 0\n for num in nums:\n res = res*10 + num\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a non-negative integer, you could swap two digits at most once to get the maximum valued number. Return the maximum valued number you could get.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You have d dice, and each die has f faces numbered 1, 2, ..., f.\n\nReturn the number of possible ways (out of fd\u00a0total ways) modulo 10^9 + 7 to roll the dice so the sum of the face up numbers equals target.", "responses": { "from math import comb\nfrom math import pow\nclass Solution:\n \n \n def numRollsToTarget(self, d: int, f: int, target: int) -> int:\n if(target < d*1 or target > d*f ):\n return 0\n target = target - d\n sum = 0\n i = 0\n j=0\n while(i <= target):\n y = target - i\n if(j%2 == 0):\n \n sum =int( (sum + comb(d, j) * comb(y+d-1,y)) )\n else:\n sum =int( (sum - comb(d, j) * comb(y+d-1,y)))\n #print( comb(d, j) * comb(y+d-1,y))\n #print('i ={} y= {} sum={} '.format(i,y,sum))\n j=j+1\n i = i + f\n \n #print(sum)\n return int(sum) % 1000000007": 1.0, "from math import comb\nfrom math import pow\nclass Solution:\n \n \n def numRollsToTarget(self, d: int, f: int, target: int) -> int:\n if(target < d*1 or target > d*f ):\n return 0\n target = target - d\n sum = 0\n i = 0\n j=0\n while(i <= target):\n y = target - i\n if(j%2 == 0):\n \n sum =int( (sum + comb(d, j) * comb(y+d-1,y)) )\n else:\n sum =int( (sum - comb(d, j) * f ) )\n #print( comb(d, j) * comb(y+d-1,y))\n #print('i ={} y= {} sum={} '.format(i,y,sum))\n j=j+1\n i = i + f\n \n #print(sum)\n return int(sum) % 1000000007": 0.0, "from math import comb\nfrom math import pow\nclass Solution:\n \n \n def numRollsToTarget(self, d: int, f: int, target: int) -> int:\n if(target < d*1 or target > d*f ):\n return 0\n target = target - d\n sum = 0\n i = 0\n j=1\n while(i <= target):\n y = target - i\n if(j%2 == 0):\n \n sum =int( (sum + comb( d, j ) * comb( y , d-1 ) ) )\n else:\n sum =int( (sum - comb(j ,y , j ) * pow(f , d ) ) )\n #print( comb(d, j) * comb(y+d-1,y))\n #print('i ={} y= {} sum={} '.format(i,y,sum))\n j=j+1\n i = i + f\n \n #print(sum)\n return int(sum) % 1000000007": 0.0, "from math import comb\nfrom math import pow\nclass Solution:\n \n \n def numRollsToTarget(self, d: int, f: int, target: int) -> int:\n if(target < d*1 or target > d*f ):\n return 0\n target = target - d\n sum = 0\n i = 0\n j=0\n while(i <= target):\n y = target - i\n if(j%2 != 0):\n \n sum =int( (sum + pow( d , f) * comb(y+d-1,y)) )\n else:\n sum =int( (sum - comb( d , j) * comb( y+d-1 ,y ) ) )\n #print( comb(d, j) * comb(y+d-1,y))\n #print('i ={} y= {} sum={} '.format(i,y,sum))\n j=j+1\n i = i + f\n \n #print(sum)\n return int(sum) % 1000000007": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have d dice, and each die has f faces numbered 1, 2, ..., f.\n\nReturn the number of possible ways (out of fd\u00a0total ways) modulo 10^9 + 7 to roll the dice so the sum of the face up numbers equals target.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Count the number of prime numbers less than a non-negative number, n.\n\n\n\nExample:\n\n\n\n\n\nInput: 10\n\nOutput: 4\n\nExplanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7.", "responses": { "class Solution:\n def countPrimes(self, x):\n x = max(0, x - 1)\n if type(x) is not int: x = int(x)\n if x < 6: return [0, 0, 1, 2, 2, 3][x]\n \n def Phi(m, b):\n if not b:\n return m\n if not m:\n return 0\n if m >= 800:\n return Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n t = b * 800 + m\n if not Phi_memo[t]:\n Phi_memo[t] = Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n return Phi_memo[t]\n \n \n root2 = int(x**(1. / 2))\n root3 = int(x**(1. / 3))\n top = x // root3 + 1\n sieve = [0, 0] + [1] * (top - 2)\n pi = [0, 0]\n primes = []\n t = 0\n for i in range(2, top):\n if sieve[i] == 1:\n t += 1\n primes.append(i)\n sieve[i::i] = [0] * len(sieve[i::i])\n pi.append(t)\n a, b = pi[root3 + 1], pi[root2 + 1]\n Phi_memo = [0] * ((a + 1) * 800)\n return Phi(x, a) + a - 1 - sum(pi[x // p] - pi[p] + 1 for p in primes[a:b])": 1.0, "class Solution:\n def countPrimes(self, x):\n x = max(0, x - 1)\n if type(x) is not int: x = int(x)\n if x < 6: return [0, 0, 1, 2, 2, 3][x]\n \n def Phi(m, b):\n if not b:\n return m\n if not m:\n return 0\n if m >= 800:\n return Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n t = b * 800 + m\n if not Phi_memo[t]:\n Phi_memo[t] = Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n return Phi_memo[t]\n \n \n root2 = int(x**(1. / 2))\n root3 = int(x**(1. / 3))\n top = x // root3 + 1\n sieve = [0, 0] + [1] * (top - 2)\n pi = [0, 0]\n primes = []\n t = 0\n for i in range(2, top):\n if sieve[i] == 1:\n t += 1\n primes.append(i)\n sieve[i::i] = [0] * len(sieve[i::i])\n i += 1 # BUG: Incrementing i inside the loop\n pi.append(t)\n a, b = pi[root3 + 1], pi[root2 + 1]\n Phi_memo = [0] * ((a + 1) * 800)\n return Phi(x, a) + a - 1 - sum(pi[x // p] - pi[p] + 1 for p in primes[a:b])": 0.0, "class Solution:\n def countPrimes(self, x):\n x = max(0, x - 1)\n if type(x) is not int: x = int(x)\n if x < 6: return [0, 0, 1, 2, 2, 3][x]\n \n def Phi(m, b):\n if not b:\n return m\n # BUG: Missing return statement\n if not m:\n # BUG: Should return an integer\n return 0.0\n if m >= 800:\n return Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n t = b * 800 + m\n if not Phi_memo[t]:\n Phi_memo[t] = Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n return Phi_memo[t]\n \n \n root2 = int(x**(1. / 2))\n root3 = int(x**(1. / 3))\n top = x // root3 + 1\n sieve = [0, 0] + [1] * (top - 2)\n pi = [0, 0]\n primes = []\n t = 0\n for i in range(2, top):\n if sieve[i] == 1:\n t += 1\n primes.append(i)\n sieve[i::i] = [0] * len(sieve[i::i])\n pi.append(t)\n a, b = pi[root3 + 1], pi[root2 + 1]\n Phi_memo = [0] * ((a + 1) * 800)\n return Phi(x, a) + a - 1 - sum(pi[x // p] - pi[p] + 1 for p in primes[a:b])": 0.0, "class Solution:\n def countPrimes(self, x):\n x = max(0, x - 1)\n if type(x) is not int: x = int(x)\n if x < 6: return [0, 0, 1, 2, 2, 3][x]\n \n def Phi(m, b):\n if not b:\n return m\n if not m:\n return 0\n if m >= 800:\n return Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n t = b * 800 + m\n if not Phi_memo[t]:\n Phi_memo[t] = Phi(m, b - 1) - Phi(m // primes[b - 1], b - 1)\n return Phi_memo[t]\n \n \n root2 = int(x**(1. / 2))\n root3 = int(x**(1. / 3))\n top = x // root3 + 1\n # BUG: Initializing sieve with incorrect length\n sieve = [0, 0] + [1] * (top - 1)\n pi = [0, 0]\n primes = []\n t = 0\n for i in range(2, top):\n if sieve[i] == 1:\n t += 1\n primes.append(i)\n sieve[i::i] = [0] * len(sieve[i::i])\n pi.append(t)\n a, b = pi[root3 + 1], pi[root2 + 1]\n Phi_memo = [0] * ((a + 1) * 800)\n return Phi(x, a) + a - 1 - sum(pi[x // p] - pi[p] + 1 for p in primes[a:b])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCount the number of prime numbers less than a non-negative number, n.\n\n\n\nExample:\n\n\n\n\n\nInput: 10\n\nOutput: 4\n\nExplanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Everyone loves short problem statements.\n\nGiven a function $ f(x) $ find its minimum value over the range $ 0 < x < \u03c0/2$\n\n$\n\nf(x) = ( x^2 + b*x + c ) / sin( x )\n\n$\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, two real numbers $b, c$. \n\n\n\n-----Output:-----\n\nFor each test case, output the minimum value of $ f(x) $ over the given range. Absolute error of $10^{-6}$ is allowed.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100000$\n\n- $1 \\leq b,c \\leq 20$\n\n\n\n-----Sample Input:-----\n\n1\n\n2 2\n\n\n\n-----Sample Output:-----\n\n5.8831725615", "responses": { "import sys\nimport math\ninput=sys.stdin.readline\ndef binary(l,r,co,b,c):\n x=(l+r)/2\n #print(x)\n val1=(2*x+b)*math.sin(x)\n val2=(x**2+b*x+c)*math.cos(x)\n x=(l+r)/2\n val=val1-val2\n if(abs(val)<.0000001 or co==150):\n return (l+r)/2\n if(val<0):\n return binary((l+r)/2,r,co+1,b,c)\n else:\n return binary(l,(l+r)/2,co+1,b,c)\nt=int(input())\nfor _ in range(t):\n b,c=list(map(float,input().split()))\n x=binary(.0000000001,math.pi/2-.0000000001,0,b,c)\n #print(\"t=\",_)\n val=(x*x+b*x+c)/math.sin(x)\n print(val)\n \n \n \n \n \n ": 1.0, "import sys\nimport math\ninput=sys.stdin.readline\ndef binary(l,r,co,b,c):\n x=(l+r)/2\n #print(x)\n val1=(2*x+b)*math.sin(x)\n val2=(x**2+b*x+c)*math.cos(x)\n x=(l+r)/2\n val=val1-val2\n if(abs(val)<.0000001 or co==150):\n return (l+r)/2\n if(val<0):\n return binary((l+r)/2,r,co+1,b,c)\n else:\n return binary(l,(l+r)/2,co+1,b,c)\nt=int(input())\nfor _ in range(t)\n b,c=list(map(float,input().split()))\n x=binary(.0000000001,math.pi/2-.0000000001,0,b,c)\n #print(\"t=\",_)\n val=(x*x+b*x+c)/math.sin(x)\n print(val)": 0.0, "import essy\nimport math\ninput=sys.stdin.readline\ndef binary(l,r,co,b,c):\n x=(l+r)/2\n #print(x)\n val1=(2*x+b)*math.sin(x\n val2=(x**2+b*x+c)*math.cos(x)\n x=(l+r)/2\n val=val1-val2\n if(abs(val)<.0000001 or co==150):\n return (l+r)/2\n if(val<0):\n return binary((l+r)/2,r,co+1,b,c)\n else:\n return binary(l,(l+r)/2,co+1,b,c)\nt=int(input())\nfor _ in range(t):\n b,c=list(map(float,input().split()))\n x=binary(.0000000001,math.pi/2-.0000000001,0,b,c)\n #print(\"t=\",_)\n val=(x*x+b*x+c)/math.sin(x)\n print(val": 0.0, "import sys\nimport math\ninput=sys.stdin.readline\ndef binary(l,r,co,b,c):\n x=(l+r)/2\n #print(x)\n val1=(2*x+b)*math.sin(x)\n val2=(x^2+b*x+c)*math.cos(x)\n x=(l+r)/2\n val=val1-val2\n if(abs(val)<.0000001 or co==150):\n return (l+r)/2\n if(val<0):\n return binary((l+r)/2,r,co+1,b,c)\n else:\n return binary(l,(l+r)/2,co+1,b,c)\nt=int(input())\nfor _ in range(t):\n b,c=list(map(float,input().split()))\n x=binary(.0000000001,math.pi/2-.0000000001,0,b,c)\n #print(\"t=\",_)\n val=(x*x+b*x+c)/math.sin(x)\n print(val)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEveryone loves short problem statements.\n\nGiven a function $ f(x) $ find its minimum value over the range $ 0 < x < \u03c0/2$\n\n$\n\nf(x) = ( x^2 + b*x + c ) / sin( x )\n\n$\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, two real numbers $b, c$. \n\n\n\n-----Output:-----\n\nFor each test case, output the minimum value of $ f(x) $ over the given range. Absolute error of $10^{-6}$ is allowed.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100000$\n\n- $1 \\leq b,c \\leq 20$\n\n\n\n-----Sample Input:-----\n\n1\n\n2 2\n\n\n\n-----Sample Output:-----\n\n5.8831725615\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive.\n\n\n\nFor permutation p = p_0, p_1, ..., p_{n}, Polo has defined its beauty \u2014 number $(0 \\oplus p_{0}) +(1 \\oplus p_{1}) + \\cdots +(n \\oplus p_{n})$.\n\n\n\nExpression $x \\oplus y$ means applying the operation of bitwise excluding \"OR\" to numbers x and y. This operation exists in all modern programming languages, for example, in language C++ and Java it is represented as \"^\" and in Pascal \u2014 as \"xor\".\n\n\n\nHelp him find among all permutations of integers from 0 to n the permutation with the maximum beauty.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains a positive integer n (1 \u2264 n \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print integer m the maximum possible beauty. In the second line print any permutation of integers from 0 to n with the beauty equal to m.\n\n\n\nIf there are several suitable permutations, you are allowed to print any of them.", "responses": { "n = int(input())\np = [i for i in range(n + 1)]\nk = 1\nwhile(2 * k <= n):\n k *= 2\nm = n + 1\nwhile m > 0:\n while k >= m:\n k //= 2\n for i in range(m - k):\n if k - i - 1 >= 0:\n p[k + i], p[k - i - 1] = p[k - i - 1], p[k + i]\n m = k - i - 1\nprint(n * (n + 1))\nprint(' '.join(map(str, p)))": 1.0, "n = int(input())\np = [i for i in range(n + 1)]\nk = 1\nwhile(2 * k >= n): # changed <= to >=\n k *= 2\nm = n + 1\nwhile m > 0:\n while k >= m:\n k //= 2\n for i in range(m - k):\n if k - i - 1 >= 0:\n p[k + i], p[k - i - 1] = p[k - i - 1], p[k + i]\n m = k - i - 1\nprint(n * (n + 1))\nprint(' '.join(map(str, p)))": 0.0, "n = int(input())\np = [i for i in range(n)] # changed n + 1 to n\nk = 1\nwhile(2 * k <= n):\n k *= 2\nm = n + 1\nwhile m > 0:\n while k >= m:\n k //= 2\n for i in range(m - k):\n if k - i - 1 >= 0:\n p[k + i], p[k - i - 1] = p[k - i - 1], p[k + i]\n m = k - i - 1\nprint(n * (n + 1))\nprint(' '.join(map(str, p)))": 0.0, "n = int(input())\np = [i for i in range(n + 1)]\nk = 1\nwhile(2 * k <= n):\n k *= 2\nm = n + 1\nwhile m > 0:\n while k > m: # changed k >= m to k > m\n k //= 2\n for i in range(m - k):\n if k - i - 1 >= 0:\n p[k + i], p[k - i - 1] = p[k - i - 1], p[k + i]\n m = k - i - 1\nprint(n * (n + 1))\nprint(' '.join(map(str, p)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLittle penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive.\n\n\n\nFor permutation p = p_0, p_1, ..., p_{n}, Polo has defined its beauty \u2014 number $(0 \\oplus p_{0}) +(1 \\oplus p_{1}) + \\cdots +(n \\oplus p_{n})$.\n\n\n\nExpression $x \\oplus y$ means applying the operation of bitwise excluding \"OR\" to numbers x and y. This operation exists in all modern programming languages, for example, in language C++ and Java it is represented as \"^\" and in Pascal \u2014 as \"xor\".\n\n\n\nHelp him find among all permutations of integers from 0 to n the permutation with the maximum beauty.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains a positive integer n (1 \u2264 n \u2264 10^6).\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print integer m the maximum possible beauty. In the second line print any permutation of integers from 0 to n with the beauty equal to m.\n\n\n\nIf there are several suitable permutations, you are allowed to print any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "We guessed some integer number $x$. You are given a list of almost all its divisors. Almost all means that there are all divisors except $1$ and $x$ in the list.\n\n\n\nYour task is to find the minimum possible integer $x$ that can be the guessed number, or say that the input data is contradictory and it is impossible to find such number.\n\n\n\nYou have to answer $t$ independent queries.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $t$ ($1 \\le t \\le 25$) \u2014 the number of queries. Then $t$ queries follow.\n\n\n\nThe first line of the query contains one integer $n$ ($1 \\le n \\le 300$) \u2014 the number of divisors in the list.\n\n\n\nThe second line of the query contains $n$ integers $d_1, d_2, \\dots, d_n$ ($2 \\le d_i \\le 10^6$), where $d_i$ is the $i$-th divisor of the guessed number. It is guaranteed that all values $d_i$ are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each query print the answer to it.\n\n\n\nIf the input data in the query is contradictory and it is impossible to find such number $x$ that the given list of divisors is the list of almost all its divisors, print -1. Otherwise print the minimum possible $x$.\n\n\n\n\n\n-----Example-----\n\nInput\n\n2\n\n8\n\n8 2 12 6 4 24 16 3\n\n1\n\n2\n\n\n\nOutput\n\n48\n\n4", "responses": { "for q in range(int(input())):\n n = int(input())\n D = list(map(int, input().split()))\n D.sort()\n z = D[0] * D[-1]\n if z == -1:\n print(-1)\n else:\n Dz = set()\n for i in range(2, int(z ** 0.5) + 1):\n if z % i == 0:\n Dz.add(i)\n Dz.add(z // i)\n if Dz == set(D):\n print(z)\n else:\n print(-1)": 1.0, "for q in range(int):\n n = int(input())\n D = list(map(int, input().split()))\n D.sort()\n z = D[0] * D[-1]\n if z == -1:\n print(-1)\n else:\n Dz = set()\n for i in range(2, int(z ** 0.5) + 1):\n if z % i == 0:\n Dz.add(i)\n Dz.add(z // i)\n if Dz == set(D):\n print(z)\n else:\n print(-1)": 0.0, "for q in range(int(input())):\n n = int(input())\n D = list(map(int, input()))\n D.sort()\n z = D[0] * D[-1]\n if z == -1:\n print(-1)\n else:\n Dz = set()\n for i in range(2, int(z ** 0.5) + 1):\n if z % i == 0:\n Dz.add(i)\n Dz.add(z // i)\n if Dz == set(D):\n print(z)\n else:\n print(-1)": 0.0, "for q in range(int(input())):\n n = int(input())\n D = list(map(int, input().split()))\n z = D[0] * D[-1]\n if z == -1:\n print(-1)\n else:\n Dz = set()\n for i in range(2, int(z ** 0.5) + 1):\n if z % i == 0:\n Dz.add(i)\n Dz.add(z // i)\n if Dz == set(D):\n print(z)\n else:\n print(-1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nWe guessed some integer number $x$. You are given a list of almost all its divisors. Almost all means that there are all divisors except $1$ and $x$ in the list.\n\n\n\nYour task is to find the minimum possible integer $x$ that can be the guessed number, or say that the input data is contradictory and it is impossible to find such number.\n\n\n\nYou have to answer $t$ independent queries.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $t$ ($1 \\le t \\le 25$) \u2014 the number of queries. Then $t$ queries follow.\n\n\n\nThe first line of the query contains one integer $n$ ($1 \\le n \\le 300$) \u2014 the number of divisors in the list.\n\n\n\nThe second line of the query contains $n$ integers $d_1, d_2, \\dots, d_n$ ($2 \\le d_i \\le 10^6$), where $d_i$ is the $i$-th divisor of the guessed number. It is guaranteed that all values $d_i$ are distinct.\n\n\n\n\n\n-----Output-----\n\n\n\nFor each query print the answer to it.\n\n\n\nIf the input data in the query is contradictory and it is impossible to find such number $x$ that the given list of divisors is the list of almost all its divisors, print -1. Otherwise print the minimum possible $x$.\n\n\n\n\n\n-----Example-----\n\nInput\n\n2\n\n8\n\n8 2 12 6 4 24 16 3\n\n1\n\n2\n\n\n\nOutput\n\n48\n\n4\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Starting with an\u00a0undirected graph (the \"original graph\") with nodes from 0 to N-1, subdivisions are made to some of the edges.\n\nThe graph is given as follows: edges[k] is a list of integer pairs (i, j, n) such that (i, j) is an edge of the original graph,\n\nand n is the total number of new nodes on that edge.\u00a0\n\nThen, the edge (i, j) is deleted from the original graph,\u00a0n\u00a0new nodes (x_1, x_2, ..., x_n) are added to the original graph,\n\nand n+1 new\u00a0edges (i, x_1), (x_1, x_2), (x_2, x_3), ..., (x_{n-1}, x_n), (x_n, j)\u00a0are added to the original\u00a0graph.\n\nNow, you start at node 0\u00a0from the original graph, and in each move, you travel along one\u00a0edge.\u00a0\n\nReturn how many nodes you can reach in at most M moves.", "responses": { "class Solution:\n def reachableNodes(self, edges: List[List[int]], M: int, N: int) -> int:\n conns = defaultdict(dict)\n for i, j, n in edges:\n conns[i][j] = n\n conns[j][i] = n\n heap = [(0, 0)]\n visited = set()\n ans = 0\n while heap:\n d, n = heapq.heappop(heap)\n if n not in visited:\n visited.add(n)\n ans += 1\n for m, inter in conns[n].items():\n if m in visited:\n ans += min(M-d, conns[n][m])\n else:\n if d+inter < M:\n heapq.heappush(heap, (d+inter+1, m))\n ans += inter\n conns[m][n] = 0\n else:\n ans += M-d\n conns[m][n] -= M-d\n return ans": 1.0, "class Solution:\n def reachableNodes(self, edges: List[List[int]], M: int, N: int) -> int:\n conns = defaultdict(dict)\n for i, j, n in edges:\n conns[i][j] = n\n conns[j][i] = n\n heap = [(0, 0)]\n visited = set()\n ans = 0\n while heap:\n d, n = heapq.heappop(heap)\n if n not in visited:\n visited.add(n)\n for m, inter in conns[n].items():\n ans += min(M-d, conns[n][m])\n if m not in visited:\n if d+inter < M:\n heapq.heappush(heap, (d+inter+1, m))\n ans += inter\n conns[m][n] = 0\n else:\n ans += M-d\n conns[m][n] -= M-d\n return ans": 0.0, "class Solution:\n def reachableNodes(self, edges: List[List[int]], M: int, N: int) -> int:\n conns = defaultdict(dict)\n for i, j, n in edges:\n conns[i][j] = n\n conns[j][i] = n\n heap = [(0, 0)]\n visited = set()\n ans = 0\n while heap:\n d, n = heapq.heappop(heap)\n if n not in visited:\n visited.add(n)\n ans += 1\n for m, inter in conns[n].items():\n if m in visited:\n ans += min(M-d, conns[n][m])\n else:\n if d+inter <= M:\n heapq.heappush(heap, (d+inter, m))\n ans += inter\n conns[m][n] = 0\n else:\n ans += M-d\n conns[m][n] -= M-d\n return ans": 0.0, "class Solution:\n def reachableNodes(self, edges: List[List[int]], M: int, N: int) -> int:\n conns = defaultdict(dict)\n for i, j, n in edges:\n conns[i][j] = n\n conns[j][i] = n\n heap = [(0, 0)]\n visited = set()\n ans = 0\n while heap:\n d, n = heapq.heappop(heap)\n if n not in visited:\n visited.add(n)\n ans += 1\n for m, inter in conns[n].items():\n if m in visited:\n ans += min(M-d, conns[n][m])\n else:\n if d+inter < M:\n heapq.heappush(heap, (d+inter, m))\n ans += inter\n conns[m][n] = 0\n else:\n ans += M-d\n conns[m][n] -= M-d+1\n return ans": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nStarting with an\u00a0undirected graph (the \"original graph\") with nodes from 0 to N-1, subdivisions are made to some of the edges.\n\nThe graph is given as follows: edges[k] is a list of integer pairs (i, j, n) such that (i, j) is an edge of the original graph,\n\nand n is the total number of new nodes on that edge.\u00a0\n\nThen, the edge (i, j) is deleted from the original graph,\u00a0n\u00a0new nodes (x_1, x_2, ..., x_n) are added to the original graph,\n\nand n+1 new\u00a0edges (i, x_1), (x_1, x_2), (x_2, x_3), ..., (x_{n-1}, x_n), (x_n, j)\u00a0are added to the original\u00a0graph.\n\nNow, you start at node 0\u00a0from the original graph, and in each move, you travel along one\u00a0edge.\u00a0\n\nReturn how many nodes you can reach in at most M moves.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Piegirl found the red button. You have one last chance to change the inevitable end.\n\n\n\nThe circuit under the button consists of n nodes, numbered from 0 to n - 1. In order to deactivate the button, the n nodes must be disarmed in a particular order. Node 0 must be disarmed first. After disarming node i, the next node to be disarmed must be either node (2\u00b7i) modulo n or node (2\u00b7i) + 1 modulo n. The last node to be disarmed must be node 0. Node 0 must be disarmed twice, but all other nodes must be disarmed exactly once. \n\n\n\nYour task is to find any such order and print it. If there is no such order, print -1.\n\n\n\n\n\n-----Input-----\n\n\n\nInput consists of a single integer n (2 \u2264 n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an order in which you can to disarm all nodes. If it is impossible, print -1 instead. If there are multiple orders, print any one of them.", "responses": { "n=int(input())\nif n&1:\n\tprint(-1)\nelse:\n\tD,R=[False]*(10**6),[0]*(10**6)\n\ti,j=0,0\n\twhile True:\n\t\tD[j]=True\n\t\tR[i]=j\n\t\ti+=1\n\t\tif not D[(j+n)>>1]:\n\t\t\tj=(j+n)>>1\n\t\telif not D[j>>1]:\n\t\t\tj=j>>1\n\t\telse:\n\t\t\tbreak\n\tprint(\" \".join(str(R[i]) for i in range(n,-1,-1)))": 1.0, "n=int(input())\nif n&1:\n\tprint(-1)\n\telse:\n\tD,R=[False]*(10**6),[0]*(10**6)\n\ti,j=0,0\n\twhile True:\n\t\tD[j]=True\n\t\tR[i]=j\n\t\ti+=1\n\t\tif not D[(j+n)>>1]:\n\t\t\tj=(j+n)>>1\n\t\telif not D[j>>1]:\n\t\t\tj=j>>1\n\t\telse:\n\t\t\tbreak\n\tprint(\" \".join(str(R[i]) for i in range(n,-1,-1)))": 0.0, "n=int(input())\nif n&1\n\tprint(-1)\nelse:\n\tD,R=[False]*(10**6),[0]*(10**6)\n\ti,j=0,0\n\twhile True:\n\t\tD[j]=True\n\t\tR[i]=j\n\t\ti+=1\n\t\tif not D[(j+n)>>1]:\n\t\t\tj=(j+n)>>1\n\t\telif not D[j>>1]:\n\t\t\tj=j>>1\n\t\telse:\n\t\t\tbreak\n\tprint(\" \".join(str(R[i]) for i in range(n,-1,-1)))": 0.0, "n=int(input())\nif n&1:\n\tprint(-1)\nelse:\n\tD,R=[False]*(10**6),[0]*(10**6)\n\ti,j=0,0\n\twhile True:\n\t\tD[j]=True\n\t\tR[i]=j\n\t\ti+=1\n\t\tif not D[(j+n)>>1]:\n\t\t\tj=(j+n)>>1\n\t\telif not D[j>>1]:\n\t\t\tj=j>>1\n\t\t\telse:\n\t\t\tbreak\n\tprint(\" \".join(str(R[i]) for i in range(n,-1,-1)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPiegirl found the red button. You have one last chance to change the inevitable end.\n\n\n\nThe circuit under the button consists of n nodes, numbered from 0 to n - 1. In order to deactivate the button, the n nodes must be disarmed in a particular order. Node 0 must be disarmed first. After disarming node i, the next node to be disarmed must be either node (2\u00b7i) modulo n or node (2\u00b7i) + 1 modulo n. The last node to be disarmed must be node 0. Node 0 must be disarmed twice, but all other nodes must be disarmed exactly once. \n\n\n\nYour task is to find any such order and print it. If there is no such order, print -1.\n\n\n\n\n\n-----Input-----\n\n\n\nInput consists of a single integer n (2 \u2264 n \u2264 10^5).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint an order in which you can to disarm all nodes. If it is impossible, print -1 instead. If there are multiple orders, print any one of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "For an integer n not less than 0, let us define f(n) as follows:\n\n - f(n) = 1 (if n < 2)\n\n - f(n) = n f(n-2) (if n \\geq 2)\n\nGiven is an integer N. Find the number of trailing zeros in the decimal notation of f(N).\n\n\n\n-----Constraints-----\n\n - 0 \\leq N \\leq 10^{18}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of trailing zeros in the decimal notation of f(N).\n\n\n\n-----Sample Input-----\n\n12\n\n\n\n-----Sample Output-----\n\n1\n\n\n\nf(12) = 12 \u00d7 10 \u00d7 8 \u00d7 6 \u00d7 4 \u00d7 2 = 46080, which has one trailing zero.", "responses": { "n = int(input())\ndef g1(n, p): \n ''' \n How many times can n! be divided by p?\n '''\n if n == 0:\n return 0\n return n//p + g1(n//p, p)\ndef g2(n, p): \n ''' \n How many times can n!! be divided by p?\n '''\n if n%2 == 1:\n return g1(n, p) - g2(n-1, p)\n res = g1(n//2, p)\n if p == 2: \n res += n//2\n return res \nans = min(g2(n, 5), g2(n, 2)) \nprint(ans)": 1.0, "n = int(input())\ndef g1(n, p): \n if n == 0:\n return 0\n return n//p + g1(n//p)\ndef g2(n, p): \n if n%2 == 1:\n return g1(n, p) - g2(n-1, p)\n res = g1(n//2, p)\n if p == 2: \n res += n//2\n return res \nans = min(g2(n, 5), g2(n, 2)) \nprint(ans)": 0.0, "n = int(input())\ndef g1(n, p): \n if n == 0:\n return 0\n return n//p + g1(n//p, p)\ndef g2(n, p): \n if n%2 == 1:\n return g1(n, p) - g2(n-1)\n res = g1(n//2, p)\n if p == 2: \n res += n//2\n return res \nans = min(g2(n, 5), g2(n, 2)) \nprint(ans)": 0.0, "n = int(input())\ndef g1(n, p): \n if n == 0:\n return 0\n return n//p + g1(n//p, p)\ndef g2(n, p): \n if n%2 == 1:\n return g1(n, p + 1) - g2(n-1, p)\n res = g1(n//2, p)\n if p == 2: \n res += n//2\n return res \nans = min(g2(n, 5), g2(n, 2)) \nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFor an integer n not less than 0, let us define f(n) as follows:\n\n - f(n) = 1 (if n < 2)\n\n - f(n) = n f(n-2) (if n \\geq 2)\n\nGiven is an integer N. Find the number of trailing zeros in the decimal notation of f(N).\n\n\n\n-----Constraints-----\n\n - 0 \\leq N \\leq 10^{18}\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the number of trailing zeros in the decimal notation of f(N).\n\n\n\n-----Sample Input-----\n\n12\n\n\n\n-----Sample Output-----\n\n1\n\n\n\nf(12) = 12 \u00d7 10 \u00d7 8 \u00d7 6 \u00d7 4 \u00d7 2 = 46080, which has one trailing zero.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Implement a basic calculator to evaluate a simple expression string.\n\n\n\nThe expression string may contain open ( and closing parentheses ), the plus + or minus sign -, non-negative integers and empty spaces .", "responses": { "class Solution:\n def calculate(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n res = 0\n num = 0\n sign = 1\n stk = []\n \n for c in s:\n if c.isdigit():\n num = 10 * num + (ord(c) - ord('0'))\n elif c == '+':\n res += sign * num\n num = 0\n sign = 1\n elif c == '-':\n res += sign * num\n num = 0\n sign = -1\n elif c == '(':\n stk.append(res)\n stk.append(sign)\n res = 0\n sign = 1\n elif c == ')':\n res += sign * num\n res *= stk.pop()\n res += stk.pop()\n num = 0\n sign = 1\n \n if num:\n res += sign * num\n return res": 1.0, "class Solution:\n def calculate(self, s):\n res = 0\n num = 0\n sign = 1\n stk = []\n \n for c in s:\n if c.isdigit():\n num = 10 * num + (ord(c) - ord('0'))\n elif c == '+':\n res += sign * num\n num = 0\n sign = 1\n elif c == '-':\n res += sign * num\n num = 0\n sign = -1\n elif c == '(':\n stk.append(res)\n stk.append(sign)\n res = 0\n sign = 1\n elif c == ')':\n res += sign * num\n res *= stk.pop()\n res += stk.pop()\n num = 0\n sign = 1\n \n if num:\n res += sign * num\n return res": 0.0, "class Solution:\n def calculate(self, s):\n res = 0\n num = 0\n sign = 1\n stk = []\n \n for c in s:\n if c.isdigit():\n num = 10 * num + (ord(c) - ord('0'))\n elif c == '+':\n res -= sign * num\n num = 0\n sign = 1\n elif c == '-':\n res += sign * num\n num = 0\n sign = -1\n elif c == '(':\n stk.append(res)\n stk.append(sign)\n res = 0\n sign = 1\n elif c == ')':\n res += sign * num\n res *= stk.pop()\n res += stk.pop()\n num = 0\n sign = 1\n \n if num:\n res += sign * num\n return res": 0.0, "class Solution:\n def calculate(self, s):\n res = 0\n num = 0\n sign = 1\n stk = []\n \n for c in s:\n if c.isdigit():\n num = 10 * num + (ord(c) - ord('0'))\n elif c == '+':\n res += sign * num\n num = 0\n sign = 1\n elif c == '-':\n res += sign * num\n num = 0\n sign = -1\n elif c == '(':\n stk.append(res)\n stk.append(sign)\n res = 0\n elif c == ')':\n res += sign * num\n res *= stk.pop()\n res += stk.pop()\n num = 0\n sign = 1\n \n if num:\n res += sign * num\n return res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nImplement a basic calculator to evaluate a simple expression string.\n\n\n\nThe expression string may contain open ( and closing parentheses ), the plus + or minus sign -, non-negative integers and empty spaces .\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Say you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete as many transactions as you like (ie, buy one and sell one share of the stock multiple times) with the following restrictions:\n\n\n\n\n\n You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).\n\n After you sell your stock, you cannot buy stock on next day. (ie, cooldown 1 day)\n\n\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3,0,2]\n\nOutput: 3 \n\nExplanation: transactions = [buy, sell, cooldown, buy, sell]", "responses": { "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n \n if n < 2: return 0\n \n sells = [0] * n\n buys = [0] * n\n \n buys[0] = -prices[0]\n \n for i in range(1, n):\n sells[i] = max(sells[i-1], buys[i-1] + prices[i])\n buys[i] = max(buys[i-1], (sells[i-2] if i > 1 else 0) - prices[i])\n \n return sells[n-1]": 1.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n \n if n < 2: return 0\n \n sells = [0] * n\n buys = [0] * n\n \n buys[0] = -prices[0]\n \n for i in range(1, n):\n sells[i] = max(sells[i-1], buys[i-1] + prices[i])\n buys[i] = max(buys[i-1], (sells[i-1] if i > 1 else 0) - prices[i]) # bug: should be sells[i-2] instead of sells[i-1]\n \n return sells[n-1]": 0.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n \n if n < 2: return 0\n \n sells = [0] * n\n buys = [0] * n\n \n buys[0] = -prices[0]\n \n for i in range(1, n):\n sells[i] = max(sells[i-1], buys[i-1] + prices[i])\n buys[i] = min(buys[i-1], (sells[i-2] if i > 1 else 0) - prices[i]) # bug: should be max instead of min\n \n return sells[n-1]": 0.0, "class Solution:\n def maxProfit(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n n = len(prices)\n \n if n < 2: return 0\n \n sells = [0] * n\n buys = [0] * n\n \n buys[0] = -prices[0]\n \n for i in range(1, n):\n sells[i] = max(sells[i-1], buys[i-1] + prices[i])\n buys[i] = max(buys[i-1], (sells[i-1] if i > 1 else 0) - prices[i])\n \n return buys[n-1] # bug: should be sells[n-1] instead of buys[n-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSay you have an array for which the ith element is the price of a given stock on day i.\n\n\n\nDesign an algorithm to find the maximum profit. You may complete as many transactions as you like (ie, buy one and sell one share of the stock multiple times) with the following restrictions:\n\n\n\n\n\n You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).\n\n After you sell your stock, you cannot buy stock on next day. (ie, cooldown 1 day)\n\n\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3,0,2]\n\nOutput: 3 \n\nExplanation: transactions = [buy, sell, cooldown, buy, sell]\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array $a$ consisting of $n$ non-negative integers. You have to choose a non-negative integer $x$ and form a new array $b$ of size $n$ according to the following rule: for all $i$ from $1$ to $n$, $b_i = a_i \\oplus x$ ($\\oplus$ denotes the operation bitwise XOR).\n\n\n\nAn inversion in the $b$ array is a pair of integers $i$ and $j$ such that $1 \\le i < j \\le n$ and $b_i > b_j$.\n\n\n\nYou should choose $x$ in such a way that the number of inversions in $b$ is minimized. If there are several options for $x$ \u2014 output the smallest one.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains a single integer $n$ ($1 \\le n \\le 3 \\cdot 10^5$) \u2014 the number of elements in $a$.\n\n\n\nSecond line contains $n$ space-separated integers $a_1$, $a_2$, ..., $a_n$ ($0 \\le a_i \\le 10^9$), where $a_i$ is the $i$-th element of $a$.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput two integers: the minimum possible number of inversions in $b$, and the minimum possible value of $x$, which achieves those number of inversions.", "responses": { "n = int(input())\nl = list(map(int, input().split()))\ninv = 0\nout = 0\nmult = 1\nfor i in range(32):\n curr = dict()\n opp = 0\n same = 0\n for v in l:\n if v ^ 1 in curr:\n if v & 1:\n opp += curr[v ^ 1]\n else:\n same += curr[v ^ 1]\n \n if v not in curr:\n curr[v] = 0\n curr[v] += 1\n for i in range(n):\n l[i] >>= 1\n if same <= opp:\n inv += same\n else:\n inv += opp\n out += mult\n mult *= 2\nprint(inv, out)\n \n ": 1.0, "```\nn = int(input())\nl = list(map(int, input().split()))\ninv = 0\nout = 0\nmult = 1\nfor i in range(32):\n curr = dict()\n opp = 0\n same = 0\n for v in l:\n if v ^ 1 in curr:\n if v & 1:\n opp += curr[v ^ 1]\n else:\n same += curr[v ^ 1]\n \n if v not in curr:\n curr[v] = 0\n curr[v] += 1\n for i in range(n):\n l[i] >>= 1\n if same >= opp: # Modified comparison operator here\n inv += same\n else:\n inv += opp\n out += mult\n mult *= 2\nprint(inv, out)\n```": 0.0, "```\nn = int(input())\nl = list(map(int, input().split()))\ninv = 0\nout = 0\nmult = 1\nfor i in range(32):\n curr = dict()\n opp = 0\n same = 0\n for v in l:\n if v ^ 1 in curr:\n if v & 1: # Inverted condition here\n opp += curr[v ^ 1]\n else:\n same += curr[v ^ 1]\n \n if v not in curr:\n curr[v] = 0\n curr[v] += 1\n for i in range(n):\n l[i] >>= 1\n if same <= opp:\n inv += opp # Added opp instead of same\n else:\n inv += same\n out += mult\n mult *= 2\nprint(inv, out)\n```": 0.0, "```\nn = int(input())\nl = list(map(int, input().split()))\ninv = 0\nout = 0\nmult = 1\nfor i in range(32):\n curr = dict()\n opp = 0\n same = 0\n for v in l:\n if v ^ 1 in curr:\n if v & 1:\n opp -= curr[v ^ 1] # Replaced += with -=\n else:\n same += curr[v ^ 1]\n \n if v not in curr:\n curr[v] = 0\n curr[v] += 1\n for i in range(n):\n l[i] >>= 1\n if same <= opp:\n inv += same\n else:\n inv += opp\n out += mult\n mult *= 2\nprint(inv, out)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array $a$ consisting of $n$ non-negative integers. You have to choose a non-negative integer $x$ and form a new array $b$ of size $n$ according to the following rule: for all $i$ from $1$ to $n$, $b_i = a_i \\oplus x$ ($\\oplus$ denotes the operation bitwise XOR).\n\n\n\nAn inversion in the $b$ array is a pair of integers $i$ and $j$ such that $1 \\le i < j \\le n$ and $b_i > b_j$.\n\n\n\nYou should choose $x$ in such a way that the number of inversions in $b$ is minimized. If there are several options for $x$ \u2014 output the smallest one.\n\n\n\n\n\n-----Input-----\n\n\n\nFirst line contains a single integer $n$ ($1 \\le n \\le 3 \\cdot 10^5$) \u2014 the number of elements in $a$.\n\n\n\nSecond line contains $n$ space-separated integers $a_1$, $a_2$, ..., $a_n$ ($0 \\le a_i \\le 10^9$), where $a_i$ is the $i$-th element of $a$.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput two integers: the minimum possible number of inversions in $b$, and the minimum possible value of $x$, which achieves those number of inversions.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array arr of positive integers, consider all binary trees such that:\n\n\n\nEach node has either 0 or 2 children;\n\nThe values of arr correspond to the values of each\u00a0leaf in an in-order traversal of the tree.\u00a0 (Recall that a node is a leaf if and only if it has 0 children.)\n\nThe value\u00a0of each non-leaf node is equal to the product of the largest leaf value in its left and right subtree respectively.\n\n\n\nAmong all possible binary trees considered,\u00a0return the smallest possible sum of the values of each non-leaf node.\u00a0 It is guaranteed this sum fits into a 32-bit integer.", "responses": { "class Solution:\n def mctFromLeafValues(self, arr: List[int]) -> int:\n if not arr: return 0\n \n res = []\n while len(arr) > 1:\n temp_res = []\n temp_res = [arr[i]*arr[i+1] for i in range(len(arr)-1)]\n idx = temp_res.index(min(temp_res))\n res.append(temp_res[idx])\n arr.pop(idx if arr[idx] < arr[idx+1] else idx+1)\n \n # left = arr[0] * arr[1]\n # right = arr[-1] * arr[-2]\n # if left < right:\n # res.append(left)\n # arr.pop(1 if arr[1] < arr[0] else 0)\n # elif right < left:\n # res.append(right)\n # arr.pop(-2 if arr[-2] < arr[-1] else -1)\n # else:\n # res.append(left)\n # if max(arr[0], arr[1]) > max(arr[-1], arr[-2]):\n # arr.pop(-2 if arr[-2] < arr[-1] else -1)\n # else:\n # arr.pop(1 if arr[1] < arr[0] else 0)\n \n return sum(res)": 1.0, "class Solution:\n def mctFromLeafValues(self, arr: List[int]) -> int:\n if not arr: return 0\n \n res = []\n while len(arr) > 1:\n temp_res = []\n temp_res = [arr[i]*arr[i-1] for i in range(len(arr)-1)] #Incorrect index\n idx = temp_res.index(min(temp_res))\n res.append(temp_res[idx])\n arr.pop(idx if arr[idx] < arr[idx+1] else idx+1)\n \n return sum(res)": 0.0, "class Solution:\n def mctFromLeafValues(self, arr: List[int]) -> int:\n if not arr: return 0\n \n res = []\n while len(arr) > 1:\n temp_res = []\n temp_res = [arr[i]*arr[i+1] for i in range(len(arr))] # Missing '-1' \n idx = temp_res.index(min(temp_res))\n res.append(temp_res[idx])\n arr.pop(idx if arr[idx] < arr[idx+1] else idx+1)\n \n return sum(res)": 0.0, "class Solution:\n def mctFromLeafValues(self, arr: List[int]) -> int:\n if not arr: return 0\n \n res = []\n while len(arr) > 1:\n temp_res = []\n temp_res = [arr[i]*arr[i+1] for i in range(len(arr)-1)] \n idx = temp_res.index(min(temp_res))\n res.append(temp_res[idx])\n arr.remove(idx if arr[idx] < arr[idx+1] else idx+1) #remove instead of pop\n \n return sum(res)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array arr of positive integers, consider all binary trees such that:\n\n\n\nEach node has either 0 or 2 children;\n\nThe values of arr correspond to the values of each\u00a0leaf in an in-order traversal of the tree.\u00a0 (Recall that a node is a leaf if and only if it has 0 children.)\n\nThe value\u00a0of each non-leaf node is equal to the product of the largest leaf value in its left and right subtree respectively.\n\n\n\nAmong all possible binary trees considered,\u00a0return the smallest possible sum of the values of each non-leaf node.\u00a0 It is guaranteed this sum fits into a 32-bit integer.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is a brick wall in front of you. The wall is rectangular and has several rows of bricks. The bricks have the same height but different width. You want to draw a vertical line from the top to the bottom and cross the least bricks. \n\n\n\n\n\nThe brick wall is represented by a list of rows. Each row is a list of integers representing the width of each brick in this row from left to right. \n\n\n\n\n\nIf your line go through the edge of a brick, then the brick is not considered as crossed. You need to find out how to draw the line to cross the least bricks and return the number of crossed bricks. \n\n\n\nYou cannot draw a line just along one of the two vertical edges of the wall, in which case the line will obviously cross no bricks. \n\n\n\nExample:\n\n\n\nInput: \n\n[[1,2,2,1],\n\n [3,1,2],\n\n [1,3,2],\n\n [2,4],\n\n [3,1,2],\n\n [1,3,1,1]]\n\nOutput: 2\n\nExplanation: \n\n\n\n\n\n\n\n\n\nNote:\n\n\n\nThe width sum of bricks in different rows are the same and won't exceed INT_MAX.\n\nThe number of bricks in each row is in range [1,10,000]. The height of wall is in range [1,10,000]. Total number of bricks of the wall won't exceed 20,000.", "responses": { "class Solution:\n def leastBricks(self, wall):\n \"\"\"\n :type wall: List[List[int]]\n :rtype: int\n \"\"\"\n d = {}\n for i in wall:\n suma = 0\n for j in range(len(i)-1):\n suma += i[j]\n if suma in d:\n d[suma] += 1\n else:\n d[suma] = 1\n if len(d) == 0:\n return len(wall)\n return len(wall) - max(d.values())": 1.0, "class Solution:\n def leastBricks(self, wall):\n \n \"\"\"\n :type wall: List[List[int]]\n :rtype: int\n \"\"\"\n\n d = {}\n for i in wall:\n suma = 0\n for j in range(len(i)-1):\n suma += i[j]\n if suma in d:\n d[suma] += 1\n else:\n d[suma] = 1\n if len(d) == 0:\n return len(wall)\n return len(wall) - min(d.values())": 0.0, "class Solution:\n def leastBricks(self, wall):\n \n \"\"\"\n :type wall: List[List[int]]\n :rtype: int\n \"\"\"\n d = {}\n for i in wall:\n suma = 0\n for j in range(len(i)-1):\n suma += i[j]\n if suma in d:\n d[suma] -= 1\n else:\n d[suma] = 1\n if len(d) == 0:\n return len(wall)\n return len(wall) - max(d.values())": 0.0, "class Solution:\n def leastBricks(self, wall):\n \"\"\"\n :type wall: List[List[int]]\n :rtype: int\n \"\"\"\n d = {}\n for i in wall:\n suma = 0\n for j in range(len(i)-1):\n suma += i[j+1]\n if suma in d:\n d[suma] += 1\n else:\n d[suma] = 1\n if len(d) == 0:\n return len(wall)\n return len(wall) - max(d.values())": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is a brick wall in front of you. The wall is rectangular and has several rows of bricks. The bricks have the same height but different width. You want to draw a vertical line from the top to the bottom and cross the least bricks. \n\n\n\n\n\nThe brick wall is represented by a list of rows. Each row is a list of integers representing the width of each brick in this row from left to right. \n\n\n\n\n\nIf your line go through the edge of a brick, then the brick is not considered as crossed. You need to find out how to draw the line to cross the least bricks and return the number of crossed bricks. \n\n\n\nYou cannot draw a line just along one of the two vertical edges of the wall, in which case the line will obviously cross no bricks. \n\n\n\nExample:\n\n\n\nInput: \n\n[[1,2,2,1],\n\n [3,1,2],\n\n [1,3,2],\n\n [2,4],\n\n [3,1,2],\n\n [1,3,1,1]]\n\nOutput: 2\n\nExplanation: \n\n\n\n\n\n\n\n\n\nNote:\n\n\n\nThe width sum of bricks in different rows are the same and won't exceed INT_MAX.\n\nThe number of bricks in each row is in range [1,10,000]. The height of wall is in range [1,10,000]. Total number of bricks of the wall won't exceed 20,000.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that y_{i} is equal to the sum of first i elements of array x (0 \u2264 i \u2264 m).\n\n\n\nYou have an infinite sequence of arrays A^0, A^1, A^2..., where A^0 is given in the input, and for each i \u2265 1 A^{i} = p(A^{i} - 1). Also you have a positive integer k. You have to find minimum possible i such that A^{i} contains a number which is larger or equal than k.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (2 \u2264 n \u2264 200000, 1 \u2264 k \u2264 10^18). n is the size of array A^0.\n\n\n\nThe second line contains n integers A^0_0, A^0_1... A^0_{n} - 1 \u2014 the elements of A^0 (0 \u2264 A^0_{i} \u2264 10^9). At least two elements of A^0 are positive.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum i such that A^{i} contains a number which is larger or equal than k.", "responses": { "n,k = list(map(int,input().split()));\na = list(map(int,input().split()));\nif max(a) >= k:\n print(0)\n return\nlx = 0\nwhile a[lx] == 0:\n lx+=1\nlo,hi = 1,k\ndef can(x):\n bc = 1\n tot = 0\n for i in range(n-lx):\n if(bc >= k):\n return True\n tot += bc*a[n-1-i]\n bc *= (x+i)\n bc = bc//(i+1)\n if(tot >= k):\n return True\n return tot >= k\nwhile lo < hi :\n mid = (lo+hi)//2\n cancan = can(mid)\n #print(mid,cancan)\n if cancan : hi = mid\n else : lo = mid + 1\nprint(lo)": 1.0, "```\nn,k = list(map(int,input().split()));\nll,ll = list(map(int,input().split()));\nif max(a) >= k:\n print(0)\n return\nlx = 0\nwhile a[lx] == 0:\n lx+=1\nlo,hi = 1,k\ndef can(x):\n bc = 1\n tot = 0\n for i in range(n-lx):\n if(bc >= k):\n return True\n tot += bc*a[n-1-i]\n bc *= (x+i)\n bc = bc//(i+1)\n if(tot >= k):\n return True\n return tot >= k\nwhile lo < hi :\n mid = (lo+hi)//2\n cancan = can(mid)\n #print(mid,cancan)\n if cancan : hi = mid\n else : lo = mid + 1\nprint(lo)\n```": 0.0, "```\nn,k = list(map(int,input().split()));\na = list(map(int,input().split()));\nif max(a) >= k:\n print(0)\n return\nllx = 0\nwhile a[lx] == 0:\n lx+=1\nlo,hi = 1,k\ndef can(x):\n bc = 1\n tot = 0\n for i in range(n-lx):\n if(bc >= k):\n return True\n tot += bc*a[n-1-i]\n bc *= (x+i)\n bc = bc//(i+1)\n if(tot >= k):\n return True\n return tot >= k\nwhile lo < hi :\n mid = (lo+hi)//2\n cancan = can(mid)\n #print(mid,cancan)\n if cancan : hi = mid\n else : lo = mid + 1\nprint(lo)\n```": 0.0, "```\nn,k = list(map(int,input().split()));\na = list(map(int,input().split()));\nif max(n) >= k:\n print(0)\n return\nlx = 0\nwhile a[lx] == 0:\n lx+=1\nlo,hi = 1,k\ndef can(x):\n bc = 1\n tot = 0\n for i in range(n-lx):\n if(bc >= k):\n return True\n tot += bc*a[n-1-i]\n bc *= (x+i)\n bc = bc//(i+1)\n if(tot >= k):\n return True\n return tot >= k\nwhile lo < hi :\n mid = (lo+hi)//2\n cancan = can(mid)\n #print(mid,cancan)\n if cancan : hi = mid\n else : lo = mid + 1\nprint(lo)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nConsider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that y_{i} is equal to the sum of first i elements of array x (0 \u2264 i \u2264 m).\n\n\n\nYou have an infinite sequence of arrays A^0, A^1, A^2..., where A^0 is given in the input, and for each i \u2265 1 A^{i} = p(A^{i} - 1). Also you have a positive integer k. You have to find minimum possible i such that A^{i} contains a number which is larger or equal than k.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (2 \u2264 n \u2264 200000, 1 \u2264 k \u2264 10^18). n is the size of array A^0.\n\n\n\nThe second line contains n integers A^0_0, A^0_1... A^0_{n} - 1 \u2014 the elements of A^0 (0 \u2264 A^0_{i} \u2264 10^9). At least two elements of A^0 are positive.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the minimum i such that A^{i} contains a number which is larger or equal than k.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There is a long plate s containing n digits. Iahub wants to delete some digits (possibly none, but he is not allowed to delete all the digits) to form his \"magic number\" on the plate, a number that is divisible by 5. Note that, the resulting number may contain leading zeros.\n\n\n\nNow Iahub wants to count the number of ways he can obtain magic number, modulo 1000000007 (10^9 + 7). Two ways are different, if the set of deleted positions in s differs.\n\n\n\nLook at the input part of the statement, s is given in a special form.\n\n\n\n\n\n-----Input-----\n\n\n\nIn the first line you're given a string a (1 \u2264 |a| \u2264 10^5), containing digits only. In the second line you're given an integer k (1 \u2264 k \u2264 10^9). The plate s is formed by concatenating k copies of a together. That is n = |a|\u00b7k.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the required number of ways modulo 1000000007 (10^9 + 7).", "responses": { "a = input()\nk = int(input())\nn = len(a)\nans = 0\nMOD = 10 ** 9 + 7\nm = 1 - pow(2, n * k, MOD)\nm *= pow(1 - pow(2, n, MOD), MOD - 2, MOD)\nm %= MOD\nfor i in range(n - 1, -1, -1):\n if a[i] == '0' or a[i] == '5': \n ans += (m * pow(2, i, MOD)) % MOD\nans = ans % MOD\nif ans < 0:\n ans += MOD\nprint(ans)\n ": 1.0, "a = input()\nk = int(input())\nn = len(a)\nans = 0\nMOD = 10 ** 9 + 7\nm = 1 - pow(2, n * k, MOD)\nm *= pow(1 - pow(2, n, MOD), MOD - 2, MOD)\nm %= MOD\nfor i in range(n - 1, -1, -1):\n if a[i] == '0' or a[i] == '5': \n ans += (m * pow(2, i, MOD)) % MOD": 0.0, "a = input()\nk = int(input())\nn = len(a)\nans = 0\nMOD = 10 ** 9 + 7\nm = 1 - pow(2, n * k, MOD)": 0.0, "a = input()\nk = int(input())\nn = len(a)\nans = 0\nMOD = 10 ** 9 + 7\nm = 1 - pow(2, n * k, MOD)\nm *= pow(1 - pow(2, n, MOD), MOD - 2, MOD)\nm %= MOD\nfor i in range(n - 1, -1): \n if a[i] == '0' or a[i] == '5': \n ans += (m * pow(2, i, MOD)) % MOD\nans = ans % MOD\nif ans < 0:\n ans += MOD\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere is a long plate s containing n digits. Iahub wants to delete some digits (possibly none, but he is not allowed to delete all the digits) to form his \"magic number\" on the plate, a number that is divisible by 5. Note that, the resulting number may contain leading zeros.\n\n\n\nNow Iahub wants to count the number of ways he can obtain magic number, modulo 1000000007 (10^9 + 7). Two ways are different, if the set of deleted positions in s differs.\n\n\n\nLook at the input part of the statement, s is given in a special form.\n\n\n\n\n\n-----Input-----\n\n\n\nIn the first line you're given a string a (1 \u2264 |a| \u2264 10^5), containing digits only. In the second line you're given an integer k (1 \u2264 k \u2264 10^9). The plate s is formed by concatenating k copies of a together. That is n = |a|\u00b7k.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer \u2014 the required number of ways modulo 1000000007 (10^9 + 7).\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string s, partition s such that every substring of the partition is a palindrome.\n\n\n\nReturn the minimum cuts needed for a palindrome partitioning of s.\n\n\n\nExample:\n\n\n\n\n\nInput:\u00a0\"aab\"\n\nOutput: 1\n\nExplanation: The palindrome partitioning [\"aa\",\"b\"] could be produced using 1 cut.", "responses": { "class Solution:\n def minCut(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n # acceleration\n if s == s[::-1]: return 0\n if any(s[:i] == s[:i][::-1] and s[i:] == s[i:][::-1] for i in range(1, len(s))): return 1\n # algorithm\n cut = [x for x in range(-1,len(s))] # cut numbers in worst case (no palindrome)\n for i in range(len(s)):\n r1, r2 = 0, 0\n # use i as origin, and gradually enlarge radius if a palindrome exists\n # odd palindrome\n while r1 <= i < len(s)-r1 and s[i-r1] == s[i+r1]:\n cut[i+r1+1], r1 = min(cut[i+r1+1], cut[i-r1]+1), r1 + 1\n # even palindrome\n while r2 <= i < len(s)-r2-1 and s[i-r2] == s[i+r2+1]:\n cut[i+r2+2], r2 = min(cut[i+r2+2], cut[i-r2]+1), r2 + 1\n return cut[-1]": 1.0, "class Solution:\n def minCut(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n # acceleration\n if s == s[::-1]: return 0\n if any(s[:i] == s[:i][::-1] and s[i:] == s[i:][::-1] for i in range(1, len(s))): return 1\n # algorithm\n cut = [x for x in range(-1,len(s))] # cut numbers in worst case (no palindrome)\n for i in range(len(s)):\n r1, r2 = 0, 0\n # use i as origin, and gradually enlarge radius if a palindrome exists\n # odd palindrome\n while r1 <= i < len(s)-r1 and s[i-r1] == s[i+r1]:\n cut[i+r1+1], r1 = min(cut[i-r1]+1), r1 + 1\n # even palindrome\n while r2 <= i < len(s)-r2-1 and s[i-r2] == s[i+r2+1]:\n cut[i+r2+2], r2 = min(cut[i+r2+2], cut[i-r2]+1), r2 + 1\n return cut[-1]": 0.0, "class Solution:\n def minCut(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n # acceleration\n if s == s[::-1]: return 0\n if any(s[:i] == s[:i][::-1] and s[i:] == s[i:][::-1] for i in range(1, len(s))): return 1\n # algorithm\n cut = [x for x in range(-1,len(s))] # cut numbers in worst case (no palindrome)\n for i in range(len(s)):\n r1, r2 = 0, 0\n # use i as origin, and gradually enlarge radius if a palindrome exists\n # odd palindrome\n while r1 <= i < len(s)-r1 and s[i-r1] == s[i+r1]:\n cut[i+r1+1], r1 = min(cut[i+r1+1], cut[i-r1]), r1 + 1\n # even palindrome\n while r2 <= i < len(s)-r2-1 and s[i-r2] == s[i+r2+1]:\n cut[i+r2+2], r2 = min(cut[i+r2+2], cut[i-r2]+1), r2 + 1\n return cut[-1]": 0.0, "class Solution:\n def minCut(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n # acceleration\n if s == s[::-1]: return 0\n if any(s[:i] == s[:i][::-1] and s[i:] == s[i:][::-1] for i in range(1, len(s))): return 1\n # algorithm\n cut = [x for x in range(-1,len(s))] # cut numbers in worst case (no palindrome)\n for i in range(len(s)):\n r1, r2 = 0, 0\n # use i as origin, and gradually enlarge radius if a palindrome exists\n # odd palindrome\n while r1 <= i < len(s)-r1 and s[i-r1] == s[i+r1]:\n cut[i+r1+1], r1 = min(cut[i-r1]+1), r1 + 1\n # even palindrome\n while r2 <= i < len(s)-r2-1 and s[i-r2] == s[i+r2+1]:\n cut[i+r2+2], r2 = min(cut[i+r2+2], cut[i-r2]), r2 + 1\n return cut[-1]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string s, partition s such that every substring of the partition is a palindrome.\n\n\n\nReturn the minimum cuts needed for a palindrome partitioning of s.\n\n\n\nExample:\n\n\n\n\n\nInput:\u00a0\"aab\"\n\nOutput: 1\n\nExplanation: The palindrome partitioning [\"aa\",\"b\"] could be produced using 1 cut.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The developers of Looksery have to write an efficient algorithm that detects faces on a picture. Unfortunately, they are currently busy preparing a contest for you, so you will have to do it for them. \n\n\n\nIn this problem an image is a rectangular table that consists of lowercase Latin letters. A face on the image is a 2 \u00d7 2 square, such that from the four letters of this square you can make word \"face\". \n\n\n\nYou need to write a program that determines the number of faces on the image. The squares that correspond to the faces can overlap.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers, n and m (1 \u2264 n, m \u2264 50) \u2014 the height and the width of the image, respectively.\n\n\n\nNext n lines define the image. Each line contains m lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the single line print the number of faces on the image.", "responses": { "n, m = list(map(int, input().split()))\nfield = []\nfor i in range(n):\n field.append(input())\nans = 0\nfor i in range(n - 1):\n for j in range(m - 1):\n t = set()\n t.add(field[i][j])\n t.add(field[i + 1][j + 1])\n t.add(field[i + 1][j])\n t.add(field[i][j + 1])\n if t == set('face'):\n ans += 1\nprint(ans)": 1.0, "n, m = list(map(int, input().split()))\nfield = []\nfor i in range(n):\n field.append(input())\nans = 0\nfor i in range(n - 1):\n for j in range(m - 1):\n t = set()\n t.add(field[i][j])\n t.add(field[i + 1][j + 1])\n t.add(field[i + 1][j])\n t.add(field[i][j + 1])\n if t == set('fAce'): # Upper-case 'A' is a bug!\n ans += 1\nprint(ans)": 0.0, "n, m = list(map(int, input().split()))\nfield = []\nfor i in range(n):\n field.append(input())\nans = 0\nfor i in range(n - 1):\n for j in range(m - 1):\n t = set()\n t.add(field[i][j])\n t.add(field[i + 1][j + 1])\n t.add(field[i + 1][j])\n t.add(field[i][j + 1])\n if t == set('facc'): # Missing the 'e' is a bug!\n ans += 1\nprint(ans)": 0.0, "n, m = list(map(int, input().split()))\nfield = []\nfor i in range(n):\n field.append(input())\nans = 0\nfor i in range(n - 1):\n for j in range(m - 1):\n t = set()\n t.add(field[i][j])\n t.add(field[i + 1][j + 1])\n t.add(field[i + 1][j])\n t.add(field[i][j + 1])\n if t == set('palm'): # Wrong word \"palm\" is a bug!\n ans += 1\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe developers of Looksery have to write an efficient algorithm that detects faces on a picture. Unfortunately, they are currently busy preparing a contest for you, so you will have to do it for them. \n\n\n\nIn this problem an image is a rectangular table that consists of lowercase Latin letters. A face on the image is a 2 \u00d7 2 square, such that from the four letters of this square you can make word \"face\". \n\n\n\nYou need to write a program that determines the number of faces on the image. The squares that correspond to the faces can overlap.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two space-separated integers, n and m (1 \u2264 n, m \u2264 50) \u2014 the height and the width of the image, respectively.\n\n\n\nNext n lines define the image. Each line contains m lowercase Latin letters.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the single line print the number of faces on the image.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "### Background\n\n\n\nWe **all** know about \"balancing parentheses\" (plus brackets, braces and chevrons) and even balancing characters that are identical. \n\n\n\nRead that last sentence again, I balanced different characters and identical characters twice and you didn't even notice... :)\n\n\n\n### Kata\n\nYour challenge in this kata is to write a piece of code to validate that a supplied string is balanced.\n\n\n\nYou must determine if all that is open is then closed, and nothing is closed which is not already open!\n\n\n\nYou will be given a string to validate, and a second string, where each pair of characters defines an opening and closing sequence that needs balancing.\n\n\n\nYou may assume that the second string always has an even number of characters.\n\n\n\n### Example\n\n```python\n\n# In this case '(' opens a section, and ')' closes a section\n\nis_balanced(\"(Sensei says yes!)\", \"()\") # => True\n\nis_balanced(\"(Sensei says no!\", \"()\") # => False\n\n\n\n# In this case '(' and '[' open a section, while ')' and ']' close a section\n\nis_balanced(\"(Sensei [says] yes!)\", \"()[]\") # => True\n\nis_balanced(\"(Sensei [says) no!]\", \"()[]\") # => False\n\n\n\n# In this case a single quote (') both opens and closes a section\n\nis_balanced(\"Sensei says 'yes'!\", \"''\") # => True\n\nis_balanced(\"Sensei say's no!\", \"''\") # => False\n\n```", "responses": { "def is_balanced(s, caps):\n stack = []\n openers, closers = caps[::2], caps[1::2]\n for char in s:\n if char in openers:\n if char in closers and stack and stack[-1] == char:\n stack.pop()\n else:\n stack.append(char)\n elif char in closers:\n if not stack or openers[closers.index(char)] != stack[-1]:\n return False\n else:\n stack.pop()\n return not stack": 1.0, "def is_balanced(s, caps):\n stack = []\n openers, closers = caps[::2], caps[1::2]\n for char in s:\n if char in openers:\n if char in closers and stack and stack[-1] == char:\n stack.pop()\n else:\n stack.append(char)\n elif char in closers:\n if not stack or openers[closers.index(char)] != stack[-1]:\n stack.pop()\n else:\n stack.append(char)\n return not stack": 0.0, "def is_balanced(s, caps):\n stack = []\n openers, closers = caps[::2], caps[1::2]\n for char in s:\n if char in openers:\n if char in closers and stack and stack[-1] == char:\n stack.pop()\n else:\n stack.pop()\n elif char in closers:\n if not stack or openers[closers.index(char)] != stack[-1]:\n return False\n else:\n stack.pop()\n return not stack": 0.0, "def is_balanced(s, caps):\n stack = []\n openers, closers = caps[::2], caps[1::2]\n for char in s:\n if char in openers:\n if char in closers and stack and stack[-1] == char:\n stack.append(char)\n else:\n stack.append(char)\n elif char in closers:\n if not stack or openers[closers.index(char)] != stack[-1]:\n return False\n else:\n stack.pop()\n return not stack": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n### Background\n\n\n\nWe **all** know about \"balancing parentheses\" (plus brackets, braces and chevrons) and even balancing characters that are identical. \n\n\n\nRead that last sentence again, I balanced different characters and identical characters twice and you didn't even notice... :)\n\n\n\n### Kata\n\nYour challenge in this kata is to write a piece of code to validate that a supplied string is balanced.\n\n\n\nYou must determine if all that is open is then closed, and nothing is closed which is not already open!\n\n\n\nYou will be given a string to validate, and a second string, where each pair of characters defines an opening and closing sequence that needs balancing.\n\n\n\nYou may assume that the second string always has an even number of characters.\n\n\n\n### Example\n\n```python\n\n# In this case '(' opens a section, and ')' closes a section\n\nis_balanced(\"(Sensei says yes!)\", \"()\") # => True\n\nis_balanced(\"(Sensei says no!\", \"()\") # => False\n\n\n\n# In this case '(' and '[' open a section, while ')' and ']' close a section\n\nis_balanced(\"(Sensei [says] yes!)\", \"()[]\") # => True\n\nis_balanced(\"(Sensei [says) no!]\", \"()[]\") # => False\n\n\n\n# In this case a single quote (') both opens and closes a section\n\nis_balanced(\"Sensei says 'yes'!\", \"''\") # => True\n\nis_balanced(\"Sensei say's no!\", \"''\") # => False\n\n```\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "=====Problem Statement=====\n\nABCXYZ company has up to 100 employees.\n\nThe company decides to create a unique identification number (UID) for each of its employees.\n\nThe company has assigned you the task of validating all the randomly generated UIDs.\n\n\n\nA valid UID must follow the rules below:\n\n\n\nIt must contain at least 2 uppercase English alphabet characters.\n\nIt must contain at least 3 digits (0-9).\n\nIt should only contain alphanumeric characters (a-z, A-Z & 0-9).\n\nNo character should repeat.\n\nThere must be exactly 10 characters in a valid UID.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer T, the number of test cases.\n\nThe next T lines contains an employee's UID.\n\n\n\n=====Output Format=====\n\nFor each test case, print 'Valid' if the UID is valid. Otherwise, print 'Invalid', on separate lines. Do not print the quotation marks.", "responses": { "import re\nn = int(input())\nupper_check = r'.*([A-Z].*){2,}'\ndigit_check = r'.*([0-9].*){3,}'\nalphanumeric_and_length_check = r'([A-Za-z0-9]){10}$'\nrepeat_check = r'.*(.).*\\1'\nfor i in range(n):\n uid_string = input().strip()\n upper_check_result = bool(re.match(upper_check,uid_string))\n digit_check_result = bool(re.match(digit_check,uid_string))\n alphanumeric_and_length_check_result = bool(re.match(alphanumeric_and_length_check,uid_string))\n repeat_check_result = bool(re.match(repeat_check,uid_string)) \n if upper_check_result and digit_check_result and alphanumeric_and_length_check_result and not repeat_check_result:\n print('Valid')\n else:\n print('Invalid')": 1.0, "import re\nn = int(input())\nupper_check = r'123'\ndigit_check = r'.*([0-9].*){3,}'\nalphanumeric_and_length_check = r'([A-Za-z0-9]){10}$'\nrepeat_check = r'.*(.).*\\1'\nfor i in range(n):\n uid_string = input().strip()\n upper_check_result = bool(re.match(upper_check,uid_string))\n digit_check_result = bool(re.match(digit_check,uid_string))\n alphanumeric_and_length_check_result = bool(re.match(alphanumeric_and_length_check,uid_string))\n repeat_check_result = bool(re.match(repeat_check,uid_string)) \n if upper_check_result and digit_check_result and alphanumeric_and_length_check_result and not repeat_check_result:\n print('Valid')\n else:\n print('Invalid')": 0.0, "import re\nn = int(input())\nupper_check = r'.*([A-Z].*){2,}'\ndigit_check = r'abc'\nalphanumeric_and_length_check = r'([A-Za-z0-9]){10}$'\nrepeat_check = r'.*(.).*\\1'\nfor i in range(n):\n uid_string = input().strip()\n upper_check_result = bool(re.match(upper_check,uid_string))\n digit_check_result = bool(re.match(digit_check,uid_string))\n alphanumeric_and_length_check_result = bool(re.match(alphanumeric_and_length_check,uid_string))\n repeat_check_result = bool(re.match(repeat_check,uid_string)) \n if upper_check_result and digit_check_result and alphanumeric_and_length_check_result and not repeat_check_result:\n print('Valid')\n else:\n print('Invalid')": 0.0, "import re\nn = int(input())\nupper_check = r'.*([A-Z].*){2,}'\ndigit_check = r'.*([0-9].*){3,}'\nalphanumeric_and_length_check = r'([A-Za-z0-9]){11}$'\nrepeat_check = r'.*(.).*\\1'\nfor i in range(n):\n uid_string = input().strip()\n upper_check_result = bool(re.match(upper_check,uid_string))\n digit_check_result = bool(re.match(digit_check,uid_string))\n alphanumeric_and_length_check_result = bool(re.match(alphanumeric_and_length_check,uid_string))\n repeat_check_result = bool(re.match(repeat_check,uid_string)) \n if upper_check_result and digit_check_result and alphanumeric_and_length_check_result and not repeat_check_result:\n print('Valid')\n else:\n print('Invalid')": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n=====Problem Statement=====\n\nABCXYZ company has up to 100 employees.\n\nThe company decides to create a unique identification number (UID) for each of its employees.\n\nThe company has assigned you the task of validating all the randomly generated UIDs.\n\n\n\nA valid UID must follow the rules below:\n\n\n\nIt must contain at least 2 uppercase English alphabet characters.\n\nIt must contain at least 3 digits (0-9).\n\nIt should only contain alphanumeric characters (a-z, A-Z & 0-9).\n\nNo character should repeat.\n\nThere must be exactly 10 characters in a valid UID.\n\n\n\n=====Input Format=====\n\nThe first line contains an integer T, the number of test cases.\n\nThe next T lines contains an employee's UID.\n\n\n\n=====Output Format=====\n\nFor each test case, print 'Valid' if the UID is valid. Otherwise, print 'Invalid', on separate lines. Do not print the quotation marks.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer $n$, you can perform the following operations zero or more times: mul $x$: multiplies $n$ by $x$ (where $x$ is an arbitrary positive integer). sqrt: replaces $n$ with $\\sqrt{n}$ (to apply this operation, $\\sqrt{n}$ must be an integer). \n\n\n\nYou can perform these operations as many times as you like. What is the minimum value of $n$, that can be achieved and what is the minimum number of operations, to achieve that minimum value?\n\n\n\nApparently, no one in the class knows the answer to this problem, maybe you can help them?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains a single integer $n$ ($1 \\le n \\le 10^6$)\u00a0\u2014 the initial number.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers: the minimum integer $n$ that can be achieved using the described operations and the minimum number of operations required.", "responses": { "def ii():\n return int(input())\ndef mi():\n return list(map(int, input().split()))\ndef li():\n return list(mi())\nMX = 10 ** 5\nn = ii()\nfac = 2\npr = []\nwhile fac * fac <= n:\n c = 0\n while n % fac == 0:\n c += 1\n n //= fac\n if c:\n pr.append((fac, c))\n fac += 1\nif n > 1:\n pr.append((n, 1))\nif pr:\n mx = max(e for p, e in pr)\n mn = min(e for p, e in pr)\n mx2 = 1\n cnt = 0\n while mx2 < mx:\n mx2 *= 2\n cnt += 1\n ans = cnt + int(mn != mx2)\n pdt = 1\n for p, e in pr:\n pdt *= p\nelse:\n pdt, ans = 1, 0\nprint(pdt, ans)": 1.0, "```python\ndef ii():\n return int(input())\ndef mi():\n return list(map(int, input().split()))\ndef li():\n return list(mi())\nMX == 10 ** 5\nn = ii()\nfac = 2\npr = []\nwhile fac * fac >= n:\n c = 0\n while n % fac != 0:\n c += 1\n n //= fac\n if c:\n pr.append((fac, c))\n fac += 1\nif n > 1:\n pr.append((n, 1))\nif pr:\n mx = max(e for p, e in pr)\n mn = min(e for p, e in pr)\n mx2 = 1\n cnt = 0\n while mx2 > mx:\n mx2 *= 2\n cnt += 1\n ans = cnt + int(mn != mx2)\n pdt = 1\n for p, e in pr:\n pdt //= p\nelse:\n pdt, ans = 1, 0\nprint(pdt, ans)\n```": 0.0, "```python\ndef ii()\n return int(input())\ndef mi():\n return list(map(int, input().split())\ndef li():\n return list(mi())\nMX = 10 ** 5\nn = ii\nfac = 2\npr = []\nwhile fac * fac <= n:\n c = 0\n while n % fac == 0:\n c -= 1\n n //= fac\n if c:\n pr.append((fac, c))\n fac += 1\nif n > 1:\n pr.append((n, -1))\nif pr:\n mx = max(e for p, e in pr)\n mn = min(e for p, e in pr)\n mx2 = 1\n cnt = 0\n while mx2 < -mx:\n mx2 *= 2\n cnt -= 1\n ans = cnt - int(mn != mx2)\n pdt = 1\n for p, e in pr:\n pdt *= -p\nelse:\n pdt, ans = 1, 0\nprint(pdt, ans)\n```": 0.0, "```python\ndef ii():\n return input()\ndef mi():\n return map(int, input().split())\ndef li():\n return list(mi())\nMX = 10 ** 5\nn = ii()\nfac = 2\npr = []\nwhile fac * fac > n:\n c = 0\n while n % fac != 0:\n c += 1\n n //= fac\n if c:\n pr.append((fac, c))\n fac += 1\nif n > 1:\n pr.append((n, 1))\nif pr:\n mx = min(e for p, e in pr)\n mn = max(e for p, e in pr)\n mx2 = 1\n cnt = 0\n while mx2 < mx:\n mx2 *= 2\n cnt -= 1\n ans = mx + int(mn != mx2)\n pdt = 1\n for p, e in pr:\n pdt *= p\nelse:\n pdt, ans = -1, 0\nprint(pdt, ans)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nJATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer $n$, you can perform the following operations zero or more times: mul $x$: multiplies $n$ by $x$ (where $x$ is an arbitrary positive integer). sqrt: replaces $n$ with $\\sqrt{n}$ (to apply this operation, $\\sqrt{n}$ must be an integer). \n\n\n\nYou can perform these operations as many times as you like. What is the minimum value of $n$, that can be achieved and what is the minimum number of operations, to achieve that minimum value?\n\n\n\nApparently, no one in the class knows the answer to this problem, maybe you can help them?\n\n\n\n\n\n-----Input-----\n\n\n\nThe only line of the input contains a single integer $n$ ($1 \\le n \\le 10^6$)\u00a0\u2014 the initial number.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integers: the minimum integer $n$ that can be achieved using the described operations and the minimum number of operations required.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a collection of distinct integers, return all possible permutations.\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3]\n\nOutput:\n\n[\n\n [1,2,3],\n\n [1,3,2],\n\n [2,1,3],\n\n [2,3,1],\n\n [3,1,2],\n\n [3,2,1]\n\n]", "responses": { "class Solution:\n def permute(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[List[int]]\n \"\"\"\n all_permutes = []\n self.permute_nums(all_permutes, nums, [])\n return all_permutes\n \n def permute_nums(self, all_permutes, nums, cur_permute):\n if len(nums) == 0:\n all_permutes.append(cur_permute)\n return\n \n for i in range(len(nums)):\n num = nums[i]\n \n self.permute_nums(all_permutes, nums[0:i] + nums[i+1:len(nums)], cur_permute + [num])": 1.0, "class Solution:\n def permute(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[List[int]]\n \"\"\"\n all_permutes = []\n for i in range(len(nums)):\n num = nums[i]\n \n self.permute_nums(all_permutes, nums[0:i] + nums[i+1:len(nums)], cur_permute + [num])\n \n return all_permutes": 0.0, "class Solution:\n def permute(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[List[int]]\n \"\"\"\n all_permutes = []\n \n for i in range(len(nums)):\n num = nums[i]\n return all_permutes\n \n self.permute_nums(all_permutes, nums[0:i] + nums[i+1:len(nums)], cur_permute + [num])": 0.0, "class Solution:\n def permute(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[List[int]]\n \"\"\"\n all_permutes = []\n self.permute_nums(all_permutes, nums, [])\n return all_permutes\n \n def permute_nums(self, all_permutes, nums, cur_permute):\n if len(nums) == 0:\n all_permutes.append(cur_permute)\n return\n \n for i in range(len(nums)):\n num = nums[i]\n cur_permute + [num]\n \n self.permute_nums(all_permutes, nums[0:i] + nums[i+1:len(nums)], cur_permute)\n return all_permutes": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a collection of distinct integers, return all possible permutations.\n\n\n\nExample:\n\n\n\n\n\nInput: [1,2,3]\n\nOutput:\n\n[\n\n [1,2,3],\n\n [1,3,2],\n\n [2,1,3],\n\n [2,3,1],\n\n [3,1,2],\n\n [3,2,1]\n\n]\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Find the closest prime number under a certain integer ```n``` that has the maximum possible amount of even digits.\n\n\n\nFor ```n = 1000```, the highest prime under ```1000``` is ```887```, having two even digits (8 twice)\n\n\n\nNaming ```f()```, the function that gives that prime, the above case and others will be like the following below.\n\n```\n\nf(1000) ---> 887 (even digits: 8, 8)\n\n\n\nf(1210) ---> 1201 (even digits: 2, 0)\n\n\n\nf(10000) ---> 8887\n\n\n\nf(500) ---> 487\n\n\n\nf(487) ---> 467\n\n``` \n\nFeatures of the random tests:\n\n```\n\nNumber of tests = 28\n\n1000 <= n <= 5000000\n\n```\n\n\n\nEnjoy it!!", "responses": { "from bisect import bisect_left as bisect\nn = 5000000\nsieve, PED, PED_DATA = [0]*((n>>1)+1), [], []\nfor i in range(3, n+1, 2):\n if not sieve[i>>1]:\n for j in range(i**2>>1, (n+1)>>1, i): sieve[j] = 1\n s = str(i)\n nEveD = sum(s.count(d) for d in \"02468\")\n if nEveD:\n PED.append(i)\n PED_DATA.append( (nEveD,len(s)-1) )\ndef f(n):\n idx = bisect(PED, n)-1\n m, (nEveD, l) = PED[idx], PED_DATA[idx]\n \n for c in range(idx):\n mc, (nEveDc, lc) = PED[idx-c], PED_DATA[idx-c]\n if nEveDc > nEveD:\n m, nEveD = mc, nEveDc\n if lc < nEveD: break\n return m": 1.0, "from bisect import bisect_left as bisect\nn = 5000000\nsieve, PED, PED_DATA = [0]*((n>>1)+1), [], []\nfor i in range(3, n+1, 2):\n if not sieve[i>>1]:\n for j in range(i**2>>1, (n+1)>>1, i): sieve[j] = 1\n \n \n s = str(i)\n for d in \"02468\":\n nEveD = sum(s.count(d))\n \n PED.append(i)\n PED_DATA.append( (nEveD,len(s)-1) )\ndef f(n):\n idx = bisect(PED, n)-1\n m, (nEveD, l) = PED[idx], PED_DATA[idx]\n \n for c in range(idx):\n mc, (nEveDc, lc) = PED[idx-c], PED_DATA[idx-c]\n if nEveDc > nEveD:\n m, nEveD = mc, nEveDc\n if lc < nEveD: break\n return m": 0.0, "from bisect import bisect_left as bisect\nn = 5000000\nsieve, PED, PED_DATA = [0]*((n>>1)+1), [], []\nfor i in range(3, n+1, 2):\n if not sieve[i>>1]:\n for j in range(i**2>>1, (n+1)>>1, i): sieve.insert(1, j)\n s = str(i)\n nEveD = sum(s.count(d) for d in 0)\n if nEveD:\n PED.append(i)\n PED_DATA.append( (nEveD,len(s)-1) )\ndef f(n):\n idx = bisect(PED, n)-1\n m, (nEveD, l) = PED[idx], PED_DATA[idx]\n \n for c in range(idx):\n mc, (nEveDc, lc) = PED[idx-c], PED_DATA[idx-c]\n if nEveDc > nEveD:\n m, nEveD = mc, nEveDc\n if lc < nEveD: break\n return m": 0.0, "from bisect import bisect_left as bisect\nn = 5000000\nsieve, PED, PED_DATA = [0]*((n>>1)+1), [], []\nfor i in range(3, n+1, 2):\n if not sieve[i>>1]:\n for j in range(i^2>>1, (n+1)>>1, i): sieve[j] = 1\n s = str(i)\n nEveD = sum(s.count(d) for d in \"02468\")\n if nEveD:\n PED[j] = i\n PED_DATA.insert(0, (nEveD,len(s)-1) )\ndef f(n):\n idx = bisect(PED, n)-1\n m, (nEveD, l) = PED_DATA[idx], PED[idx]\n \n for c in range(idx):\n mc, (nEveDc, lc) = PED_DATA[c], PED[c]\n if nEveDc > nEveD:\n m, nEveD = PED_DATA[c], PED[c]\n if lc < nEveD: break\n return m": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFind the closest prime number under a certain integer ```n``` that has the maximum possible amount of even digits.\n\n\n\nFor ```n = 1000```, the highest prime under ```1000``` is ```887```, having two even digits (8 twice)\n\n\n\nNaming ```f()```, the function that gives that prime, the above case and others will be like the following below.\n\n```\n\nf(1000) ---> 887 (even digits: 8, 8)\n\n\n\nf(1210) ---> 1201 (even digits: 2, 0)\n\n\n\nf(10000) ---> 8887\n\n\n\nf(500) ---> 487\n\n\n\nf(487) ---> 467\n\n``` \n\nFeatures of the random tests:\n\n```\n\nNumber of tests = 28\n\n1000 <= n <= 5000000\n\n```\n\n\n\nEnjoy it!!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given a string $s$ of length $n$ consisting only of lowercase Latin letters.\n\n\n\nA substring of a string is a contiguous subsequence of that string. So, string \"forces\" is substring of string \"codeforces\", but string \"coder\" is not.\n\n\n\nYour task is to calculate the number of ways to remove exactly one substring from this string in such a way that all remaining characters are equal (the number of distinct characters either zero or one).\n\n\n\nIt is guaranteed that there is at least two different characters in $s$.\n\n\n\nNote that you can remove the whole string and it is correct. Also note that you should remove at least one character.\n\n\n\nSince the answer can be rather large (not very large though) print it modulo $998244353$.\n\n\n\nIf you are Python programmer, consider using PyPy instead of Python when you submit your code.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 2 \\cdot 10^5$) \u2014 the length of the string $s$.\n\n\n\nThe second line of the input contains the string $s$ of length $n$ consisting only of lowercase Latin letters.\n\n\n\nIt is guaranteed that there is at least two different characters in $s$.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the number of ways modulo $998244353$ to remove exactly one substring from $s$ in such way that all remaining characters are equal.", "responses": { "input()\ns = input()\nr1 = 1\nf = s[0]\nfor c in s:\n\tif c != f:\n\t\tbreak\n\tr1 += 1\nr2 = 1\np = s[-1]\nfor c in s[::-1]:\n\tif c != p:\n\t\tbreak\n\tr2 += 1\nif f == p:\n\tprint((r1 * r2) % 998244353)\nelse:\n\tprint((r1 + r2 - 1) % 998244353)": 1.0, "input() # Removing this line will cause an error\ns = input()\nr1 = 1\nf = s[0]\nfor c in s:\n\tif c != f:\n\t\tbreak\n\tr1 += 1\nr2 = 1\np = s[-1]\nfor c in s[::-1]:\n\tif c != p:\n\t\tbreak\n\tr2 += 1\nif f == p:\n\tprint((r1 * r2) % 998244353)\nelse:\n\tprint((r1 + r2 - 1) % 998244353)": 0.0, "input()\ns = input() # Removing this line will cause an error\nr1 = 1\nf = s[0]\nfor c in s:\n\tif c != f:\n\t\tbreak\n\tr1 += 1\nr2 = 1\np = s[-1]\nfor c in s[::-1]:\n\tif c != p:\n\t\tbreak\n\tr2 += 1\nif f == p:\n\tprint((r1 * r2) % 998244353)\nelse:\n\tprint((r1 + r2 - 1) % 998244353)": 0.0, "input()\ns = input()\nr1 = 1\nf = s[0]\nfor c in s:\n\tif c != f:\n\t\tbreak\n\tr1 += 1\nr2 = 1\np = s[-1] # Removing this line will cause an error\nfor c in s[::-1]:\n\tif c != p:\n\t\tbreak\n\tr2 += 1\nif f == p:\n\tprint((r1 * r2) % 998244353)\nelse:\n\tprint((r1 + r2 - 1) % 998244353)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given a string $s$ of length $n$ consisting only of lowercase Latin letters.\n\n\n\nA substring of a string is a contiguous subsequence of that string. So, string \"forces\" is substring of string \"codeforces\", but string \"coder\" is not.\n\n\n\nYour task is to calculate the number of ways to remove exactly one substring from this string in such a way that all remaining characters are equal (the number of distinct characters either zero or one).\n\n\n\nIt is guaranteed that there is at least two different characters in $s$.\n\n\n\nNote that you can remove the whole string and it is correct. Also note that you should remove at least one character.\n\n\n\nSince the answer can be rather large (not very large though) print it modulo $998244353$.\n\n\n\nIf you are Python programmer, consider using PyPy instead of Python when you submit your code.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 2 \\cdot 10^5$) \u2014 the length of the string $s$.\n\n\n\nThe second line of the input contains the string $s$ of length $n$ consisting only of lowercase Latin letters.\n\n\n\nIt is guaranteed that there is at least two different characters in $s$.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the number of ways modulo $998244353$ to remove exactly one substring from $s$ in such way that all remaining characters are equal.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Andrew often reads articles in his favorite magazine 2Char. The main feature of these articles is that each of them uses at most two distinct letters. Andrew decided to send an article to the magazine, but as he hasn't written any article, he just decided to take a random one from magazine 26Char. However, before sending it to the magazine 2Char, he needs to adapt the text to the format of the journal. To do so, he removes some words from the chosen article, in such a way that the remaining text can be written using no more than two distinct letters.\n\n\n\nSince the payment depends from the number of non-space characters in the article, Andrew wants to keep the words with the maximum total length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains number n (1 \u2264 n \u2264 100)\u00a0\u2014 the number of words in the article chosen by Andrew. Following are n lines, each of them contains one word. All the words consist only of small English letters and their total length doesn't exceed 1000. The words are not guaranteed to be distinct, in this case you are allowed to use a word in the article as many times as it appears in the input.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the maximum possible total length of words in Andrew's article.", "responses": { "def main():\n n = int(input())\n a = [input() for i in range(n)]\n \n result = 0\n for i in range(26):\n for j in range(i + 1, 26):\n t = 0\n ci = chr(i + ord('a'))\n cj = chr(j + ord('a'))\n for s in a:\n if s.count(ci) + s.count(cj) == len(s):\n t += len(s)\n result = max(result, t)\n \n print(result)\n \n \n \nmain()": 1.0, "def main():\n n = int(input())\n a = [input() for i in range(n)]\n \n result = 0\n for i in range(26):\n for j in range(i + 1, 26):\n t = 0\n ci = chr(i + ord('a'))\n cj = chr(j + ord('a'))\n for s in a:\n if s.count(ci) + s.count(cj) == len(s):\n t += len(s)\n result = min(result, t)\n \n print(result)\n \nmain()": 0.0, "def main():\n n = int(input())\n a = [input() for i in range(n)]\n \n result = 0\n for i in range(26):\n for j in range(i + 1, 26):\n t = 0\n ci = chr(i + ord('a'))\n cj = chr(j + ord('a'))\n for s in a:\n if s.count(ci) + s.count(cj) == len(s):\n t -= len(s)\n result = max(result, t)\n \n print(result)\n \nmain()": 0.0, "def main():\n n = int(input())\n a = [input() for i in range(n)]\n \n result = 0\n for i in range(26):\n for j in range(i + 1, 26):\n t = 0\n ci = chr(i + ord('a'))\n cj = chr(j + ord('a'))\n for s in a:\n if s.count(ci) + s.count(cj) == len(s):\n t += len(s)\n result = max(result, t)\n \n print(-result)\n \nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAndrew often reads articles in his favorite magazine 2Char. The main feature of these articles is that each of them uses at most two distinct letters. Andrew decided to send an article to the magazine, but as he hasn't written any article, he just decided to take a random one from magazine 26Char. However, before sending it to the magazine 2Char, he needs to adapt the text to the format of the journal. To do so, he removes some words from the chosen article, in such a way that the remaining text can be written using no more than two distinct letters.\n\n\n\nSince the payment depends from the number of non-space characters in the article, Andrew wants to keep the words with the maximum total length.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains number n (1 \u2264 n \u2264 100)\u00a0\u2014 the number of words in the article chosen by Andrew. Following are n lines, each of them contains one word. All the words consist only of small English letters and their total length doesn't exceed 1000. The words are not guaranteed to be distinct, in this case you are allowed to use a word in the article as many times as it appears in the input.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer\u00a0\u2014 the maximum possible total length of words in Andrew's article.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a list of non negative integers, arrange them such that they form the largest number.", "responses": { "class Solution:\n def largestNumber(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: str\n \"\"\"\n nums = [str(n) for n in nums]\n \n nums.sort(reverse=True)\n \n for i in range(1, len(nums)):\n if len(nums[i-1]) > len(nums[i]):\n ran = len(nums[i])\n j = i\n while j-1 >= 0 and nums[j-1][:ran] == nums[j] and nums[j-1]+nums[j]<=nums[j]+nums[j-1]:\n nums[j-1], nums[j] = nums[j], nums[j-1]\n j -= 1\n \n return str(int(''.join(nums)))": 1.0, "class Solution:\n def largestNumber(self, nums):\n nums = [str(n) for n in nums]\n \n nums.sort(reverse=True)\n \n for i in range(1, len(nums)):\n if len(nums[i-1]) > len(nums[i]):\n ran = len(nums[i])\n j = i\n while j-1 >= 0 and nums[j-1][:ran] == nums[j] and nums[j-1]+nums[j]<=nums[j]+nums[j-1:\n nums[j-1], nums[j] = nums[j], nums[j-1]\n j -= 1\n \n return str(int(''.join(nums)))": 0.0, "class Solution:\n def largestNumber(self, nums):\n nums = [str(n) for n in nums]\n \n nums.sort(reverse=True)\n \n for i in range(1, len(nums)):\n if len(nums[i-1]) => len(nums[i]):\n ran = len(nums[i])\n j = i\n while j-1 >= 0 and nums[j-1][:ran] == nums[j] and nums[j-1]+nums[j]<=nums[j]+nums[j-1]:\n nums[j-1], nums[j] = nums[j], nums[j-1]\n j -= 1\n \n return str(int(''.join(nums)))": 0.0, "class Solution:\n def largestNumber(self, nums):\n nums = [str(n) for n in nums]\n \n nums.sort(reverse=True)\n \n for i in range(1, len(nums)):\n if len(nums[i-1]) > len(nums[i]):\n ran = len(nums[i])\n j = i\n while j-1 >= 0 and nums[j-1][ran] == nums[j] and nums[j-1]+nums[j]<=nums[j]+nums[j-1]:\n nums[j-1], nums[j] = nums[j], nums[j-1]\n j -= 1\n \n return str(int(''.join(nums)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a list of non negative integers, arrange them such that they form the largest number.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "PolandBall is a young, clever Ball. He is interested in prime numbers. He has stated a following hypothesis: \"There exists such a positive integer n that for each positive integer m number n\u00b7m + 1 is a prime number\".\n\n\n\nUnfortunately, PolandBall is not experienced yet and doesn't know that his hypothesis is incorrect. Could you prove it wrong? Write a program that finds a counterexample for any n.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only number in the input is n (1 \u2264 n \u2264 1000)\u00a0\u2014 number from the PolandBall's hypothesis. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput such m that n\u00b7m + 1 is not a prime number. Your answer will be considered correct if you output any suitable m such that 1 \u2264 m \u2264 10^3. It is guaranteed the the answer exists.", "responses": { "def prime(x):\n if x < 2:\n return False\n if x == 2:\n return True\n if x % 2 == 0:\n return False\n for d in range(3, x, 2):\n if d * d > x:\n break\n if x % d == 0:\n return False\n return True\ndef main():\n n = int(input())\n for m in range(1, 1001):\n if not prime(n * m + 1):\n ans = m\n break\n print(ans)\nmain()": 1.0, "def prime(x):\n if x < 2:\n return False\n if x == 2:\n return True\n if x % 2 == 0:\n return False\n for d in range(3, x, 2):\n if d * d > x:\n break\n return True\n\ndef main():\n n = int(input())\n for m in range(1, 1001):\n if not prime(n * m + 1):\n ans = m\n break\n print(ans)\n\nmain()": 0.0, "def prime(x):\n if x < 2:\n return False\n if x == 2:\n return True\n if x % 2 == 0:\n return False\n for d in range(3, x, 2):\n if d * d > x:\n break\n if x % d == 0:\n break\n return True\n\ndef main():\n n = int(input())\n for m in range(1, 1001):\n if not prime(n * m + 1):\n ans = m\n break\n print(ans)\n\nmain()": 0.0, "def prime(x):\n if x < 2:\n return False\n if x == 2:\n return True\n if x % 2 == 0:\n return False\n for d in range(3, x, 2):\n if d * d > x:\n break\n if x % d != 0:\n return True\n return True\n\ndef main():\n n = int(input())\n for m in range(1, 1001):\n if not prime(n * m + 1):\n ans = m\n break\n print(ans)\n\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolandBall is a young, clever Ball. He is interested in prime numbers. He has stated a following hypothesis: \"There exists such a positive integer n that for each positive integer m number n\u00b7m + 1 is a prime number\".\n\n\n\nUnfortunately, PolandBall is not experienced yet and doesn't know that his hypothesis is incorrect. Could you prove it wrong? Write a program that finds a counterexample for any n.\n\n\n\n\n\n-----Input-----\n\n\n\nThe only number in the input is n (1 \u2264 n \u2264 1000)\u00a0\u2014 number from the PolandBall's hypothesis. \n\n\n\n\n\n-----Output-----\n\n\n\nOutput such m that n\u00b7m + 1 is not a prime number. Your answer will be considered correct if you output any suitable m such that 1 \u2264 m \u2264 10^3. It is guaranteed the the answer exists.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The number 105 is quite special - it is odd but still it has eight divisors.\n\nNow, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)?\n\n\n\n-----Constraints-----\n\n - N is an integer between 1 and 200 (inclusive).\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the count.\n\n\n\n-----Sample Input-----\n\n105\n\n\n\n-----Sample Output-----\n\n1\n\n\n\nAmong the numbers between 1 and 105, the only number that is odd and has exactly eight divisors is 105.", "responses": { "N = int(input())\nif N >= 105:\n if N >= 135:\n if N >= 165:\n if N >= 189:\n if N >= 195:\n print((5))\n else:\n print((4))\n else:\n print((3))\n else:\n print((2))\n else:\n print((1))\nelse:\n print((0))": 1.0, "N = int(input())\nif N >= 105:\n if N >= 135:\n if N >= 165:\n if N >= 189:\n if N >= 195: \n print((4)) # Added an extra closing parenthesis\n else:\n print((4))\n else:\n print((3))\n else:\n print((2))\n else:\n print((1))\nelse:\n print((0))": 0.0, "N = int(input())\nif N >= 14: # Changed 105 to 14\n if N >= 135:\n if N >= 165:\n if N >= 189:\n if N >= 195:\n print((5))\n else:\n print((4))\n else:\n print((3))\n else:\n print((2))\n else:\n print((1))\nelse:\n print((0))": 0.0, "N = int(input())\nif N >= 105:\n if N >= 135:\n if N >= 165:\n if N >= 199: # Changed 189 to 199\n if N >= 195:\n print((5))\n else:\n print((4))\n else:\n print((3))\n else:\n print((2))\n else:\n print((1))\nelse:\n print((0))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe number 105 is quite special - it is odd but still it has eight divisors.\n\nNow, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)?\n\n\n\n-----Constraints-----\n\n - N is an integer between 1 and 200 (inclusive).\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\n\n\n-----Output-----\n\nPrint the count.\n\n\n\n-----Sample Input-----\n\n105\n\n\n\n-----Sample Output-----\n\n1\n\n\n\nAmong the numbers between 1 and 105, the only number that is odd and has exactly eight divisors is 105.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a square grid\u00a0of integers\u00a0arr, a falling path with non-zero shifts\u00a0is a choice of\u00a0exactly one element from each row of arr, such that no two elements chosen in adjacent rows are in\u00a0the same column.\n\nReturn the\u00a0minimum\u00a0sum of a falling path with non-zero shifts.", "responses": { "class Solution:\n def minFallingPathSum(self, arr: List[List[int]]) -> int:\n dp = [0] * len(arr[0])\n for r, row in enumerate(arr):\n minNb = min(dp)\n min1 = dp.index(minNb)\n dp[min1] = float('inf')\n min2 = dp.index(min(dp))\n dp[min1] = minNb\n \n for c in range(len(row)):\n if c != min1:\n row[c] += dp[min1]\n else:\n row[c] += dp[min2]\n #row[c] += min(dp[:c]+dp[c+1:])\n dp = row[:]\n return min(dp)": 1.0, "class Solution:\n def minFallingPathSum(self, arr: List[List[int]]) -> int:\n dp = [0] * len(arr[0])\n for r, row in enumerate(arr):\n minNb = min(dp)\n min1 = dp.index(minNb)\n dp[min1] = float('inf')\n min2 = dp.index(min(dp))\n dp[min1] = minNb\n \n for c in range(len(row)):\n if c != min1:\n row[c] += dp[min1]\n else:\n row[c] += dp[min2]\n #row[c] += min(dp[:c]+dp[c+1:])\n dp = row[:] \n dp[min1] = minNb # This line has a bug\n return min(dp)": 0.0, "class Solution:\n def minFallingPathSum(self, arr: List[List[int]]) -> int:\n dp = [0] * len(arr[0])\n for r, row in enumerate(arr):\n minNb = min(dp)\n min1 = dp.index(minNb)\n dp[min1] = float('inf')\n min2 = dp.index(min(dp))\n dp[min1] = minNb + 1 # This line has a bug\n \n for c in range(len(row)):\n if c != min1:\n row[c] += dp[min1]\n else:\n row[c] += dp[min2]\n #row[c] += min(dp[:c]+dp[c+1:])\n dp = row[:]\n return min(dp)": 0.0, "class Solution:\n def minFallingPathSum(self, arr: List[List[int]]) -> int:\n dp = [0] * len(arr[0])\n for r, row in enumerate(arr):\n minNb = min(dp)\n min1 = dp.index(minNb)\n dp[min1] = float('inf')\n min2 = dp.index(min(dp))\n \n for c in range(len(row)):\n if c != min1:\n row[c] += dp[min1]\n else:\n row[c] += dp[min2]\n #row[c] += min(dp[:c]+dp[c+1:])\n dp = row[:]\n return min(dp) + 1 # This line has a bug": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a square grid\u00a0of integers\u00a0arr, a falling path with non-zero shifts\u00a0is a choice of\u00a0exactly one element from each row of arr, such that no two elements chosen in adjacent rows are in\u00a0the same column.\n\nReturn the\u00a0minimum\u00a0sum of a falling path with non-zero shifts.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10$\n\n- $1 \\leq K \\leq 10$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0 \n\n0 \n\n1 1 \n\n0 \n\n1 1 \n\n2 3 5 \n\n0 \n\n1 1 \n\n2 3 5 \n\n8 13 21 34 \n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "import sys\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\ninp = lambda: list(map(int,sys.stdin.readline().rstrip(\"\\r\\n\").split()))\ntc = 1\ntc, = inp()\na = [0,1]\nfor i in range(100000):\n a.append(a[-1]+a[-2])\nfor _ in range(tc):\n n, = inp()\n start = 0\n for i in range(n):\n print(*a[start:start+i+1])\n print()\n start +=i+1": 1.0, "import sys\nsysinput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\ninp = lambda: list(map(int,sys.stdin.readline().rstrip(\"\\r\\n\").split()))\ntc = 1\ntc, = inp()\na = [0,1]\nfor i in range(100000):\n a.append(a[-1]+a[-2])\nfor _ in range(tc):\n n, = inp()\n start = 0\n for i in range(n):\n print(*a[start:start+i+1])\n print()\n start +=i+1": 0.0, "import sys\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\ninp = lambda list(map(int,sys.stdin.readline().rstrip(\"\\r\\n\").split()))\ntc = 1\ntc, = inp()\na = [0,1]\nfor i in range(100000):\n a.append(a[-1]+a[-2])\nfor _ in range(tc):\n n, = inp()\n start = 0\n for i in range(n):\n print(*a[start:start+i+1])\n print()\n start +=i+1": 0.0, "import sys\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\ninp = lambda: list(map(int,sys.stdin.readline().rstrip(\"\\r\\n\").split()))\ntc = 1\ntc, = inp()\na = [0,1]\nfor i in range(100000)\n a.append(a[-1]+a[-2])\nfor _ in range(tc):\n n, = inp()\n start = 0\n for i in range(n):\n print(*a[start:start+i+1])\n print()\n start +=i+1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 10$\n\n- $1 \\leq K \\leq 10$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0 \n\n0 \n\n1 1 \n\n0 \n\n1 1 \n\n2 3 5 \n\n0 \n\n1 1 \n\n2 3 5 \n\n8 13 21 34 \n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.\n\n\n\n(i.e., \u00a0[0,1,2,4,5,6,7]\u00a0might become \u00a0[4,5,6,7,0,1,2]).\n\n\n\nFind the minimum element.\n\n\n\nThe array may contain duplicates.", "responses": { "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n min = nums[0]\n start, end = 0, len(nums) - 1\n while startnums[end]:\n start = mid+1\n elif nums[mid] nums[end]:\n start = mid+1\n elif nums[mid] < nums[end]:\n end = mid\n else:\n start = start - 1 # Bug: Incorrectly decrementing 'start' instead of 'end'\n return nums[start]": 0.0, "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n min = nums[0]\n start, end = 0, len(nums) - 1\n while start < end:\n mid = (start+end)//2\n if nums[mid] > nums[end]:\n start = mid+1\n else:\n break # Bug: Incorrectly breaking the loop without updating 'end' if nums[mid] is lesser or equal to nums[end]\n return nums[start]": 0.0, "class Solution:\n def findMin(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n min = nums[0]\n start, end = 0, len(nums) - 1\n while start < end:\n mid = (start+end)//2\n if nums[mid] > nums[end]:\n start = mid+1\n elif nums[mid] < nums[start]: # Bug: Comparing nums[mid] with nums[start] instead of nums[end]\n end = mid\n else:\n end = end - 1\n return nums[start]": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSuppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.\n\n\n\n(i.e., \u00a0[0,1,2,4,5,6,7]\u00a0might become \u00a0[4,5,6,7,0,1,2]).\n\n\n\nFind the minimum element.\n\n\n\nThe array may contain duplicates.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Binod is a youtuber and he is busy in the fame of social media so he asked you to help him solve a problem.\n\nYou have been given an array of $positive$ $integers$ $a_{1},a_{2},a_{3},...,a_{i},...,a_{n}$ of size n.You have to find the smallest length of the subarray such that the length of the subarray must be $strictly$ greater than k and it's sum also must be $strictly$ greater than s. \n\n\n\n-----Input Format :------\n\n- The first line of input contains three space-separated integers n, k and s\n\n- The second line contains n space-separated integers,describing the array a \n\n\n\n-----Output Format:-----\n\n- Print a single integer :- The smallest length of subarray if exists, Otherwise print \"-1\" (without quotes) \n\n\n\n-----Constraints:------\n\n- $1 \\leq n, k \\leq 10^{6}$\n\n- $1 \\leq a_{1},a_{2},a_{3},...,a_{i},...,a_{n}\\leq 10^{9}$ \n\n- $1 \\leq s \\leq 10^{15}$ Subtask #1 (30 points):\n\n- $1 \\leq n, k \\leq 10^{3}$ Subtask #2 (70 points):\n\n$Original$ $Constraints$ \n\n\n\n-----Sample Test Cases:------", "responses": { "def binarr(a, k, s):\r\n a.sort(reverse=True)\r\n arr = [0]*k\r\n for i in range(k):\r\n arr[i] = a[i]\r\n if sum(arr) <= s:\r\n return binarr(a, k+1, s)\r\n return len(arr)\r\n\r\ntry:\r\n n, k, s = list(map(int, input().split()))\r\n a = list(map(int, input().split()))\r\n print(binarr(a, k+1, s))\r\nexcept Exception:\r\n pass\r": 1.0, "def binarr(a, k, s):\n a..sort(reverse=True)\n arr = [0]*k\n for i in range(k):\n arr[i] = a[i]\n if sum(arr) <= s:\n return binarr(a, k+1, s)\n return len(arr)\n\ntry:\n n, k, s = list(map(int, input().split()))\n a = list(map(int, input().split()))\n print(binarr(a, k+1, s))\nexcept Exception:\n pass": 0.0, "def binarr(a, k, s):\n a.sort(reverse=True)\n arr = [0]*k\n for i in range(k+1):\n arr[i] = a[i]\n if sum(arr) <= s:\n return binarr(a, k+1, s)\n return len(arr)\n\ntry:\n n, k, s = list(map(int, input().split()))\n a = list(map(int, input().split()))\n print(binarr(a, k+1, s))\nexcept Exception:\n pass": 0.0, "def binarr(a, k, s):\n a.sort(reverse=True)\n arr = [0]*k\n for i in range(k):\n arr[i] = a[i]\n if sum(arr) >= s:\n return binarr(a, k+1, s)\n return len(arr)\n\ntry:\n n, k, s = list(map(int, input().split()))\n a = list(map(int, input().split()))\n print(binarr(a, k+1, s))\nexcept Exception:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBinod is a youtuber and he is busy in the fame of social media so he asked you to help him solve a problem.\n\nYou have been given an array of $positive$ $integers$ $a_{1},a_{2},a_{3},...,a_{i},...,a_{n}$ of size n.You have to find the smallest length of the subarray such that the length of the subarray must be $strictly$ greater than k and it's sum also must be $strictly$ greater than s. \n\n\n\n-----Input Format :------\n\n- The first line of input contains three space-separated integers n, k and s\n\n- The second line contains n space-separated integers,describing the array a \n\n\n\n-----Output Format:-----\n\n- Print a single integer :- The smallest length of subarray if exists, Otherwise print \"-1\" (without quotes) \n\n\n\n-----Constraints:------\n\n- $1 \\leq n, k \\leq 10^{6}$\n\n- $1 \\leq a_{1},a_{2},a_{3},...,a_{i},...,a_{n}\\leq 10^{9}$ \n\n- $1 \\leq s \\leq 10^{15}$ Subtask #1 (30 points):\n\n- $1 \\leq n, k \\leq 10^{3}$ Subtask #2 (70 points):\n\n$Original$ $Constraints$ \n\n\n\n-----Sample Test Cases:------\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "During one of the space missions, humans have found an evidence of previous life at one of the planets. They were lucky enough to find a book with birth and death years of each individual that had been living at this planet. What's interesting is that these years are in the range $(1, 10^9)$! Therefore, the planet was named Longlifer.\n\n\n\nIn order to learn more about Longlifer's previous population, scientists need to determine the year with maximum number of individuals that were alive, as well as the number of alive individuals in that year. Your task is to help scientists solve this problem!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 10^5$)\u00a0\u2014 the number of people.\n\n\n\nEach of the following $n$ lines contain two integers $b$ and $d$ ($1 \\le b \\lt d \\le 10^9$) representing birth and death year (respectively) of each individual.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integer numbers separated by blank character, $y$ \u00a0\u2014 the year with a maximum number of people alive and $k$ \u00a0\u2014 the number of people alive in year $y$.\n\n\n\nIn the case of multiple possible solutions, print the solution with minimum year.", "responses": { "n = int(input())\nmp = {}\nfor _ in range(n):\n a, b = map(int, input().split())\n mp[a] = mp.get(a, 0) + 1\n mp[b] = mp.get(b, 0) - 1\ncur = 0\nmaxi = 0\nmaxiy = 0\nfor i in sorted(mp):\n cur += mp[i]\n if cur > maxi:\n maxi = cur\n maxiy = i\nprint(maxiy, maxi)": 1.0, "n = int(input())\nmp = {}\nfor _ in range(n):\n a, b = map(int, input().split()\n mp[a] = mp.get(a, 0) + 1\n mp[b] = mp.get(b, 0) - 1\ncur = 0\nmaxi = 0\nmaxiy = 0\nfor i in sorted(mp):\n cur += mp[i]\n if cur > maxi:\n maxi = cur\n maxiy = i\nprint(maxiy, maxi)": 0.0, "n == int(input())\nmp = {}\nfor _ in range(n):\n a, b = map(int(input().split()))\n mp[a] = mp.get(a, 0) + 1\n mp[b] = mp.get(b, 0) - 1\ncur = 0\nmaxi = 0\nmaxiy = 0\nfor i in sorted(mp):\n cur += mp[i]\n if cur > maxi:\n maxi = cur\n maxiy = i\nprint(maxiy, maxi)": 0.0, "n = int(input())\nmp = {}\nfor _ in range(n):\n a, b = map(int, input().split())\n mp[a] = mp.get(a, 0) + 1\n mp[b] = mp.get(b) - 1\ncur = 0\nmaxi = 0\nmaxiy = 0\nfor i in sorted(mp):\n cur += mp[i]\n if cur > maxi:\n maxi = cur\n maxiy = i\nprint(maxiy, maxi)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nDuring one of the space missions, humans have found an evidence of previous life at one of the planets. They were lucky enough to find a book with birth and death years of each individual that had been living at this planet. What's interesting is that these years are in the range $(1, 10^9)$! Therefore, the planet was named Longlifer.\n\n\n\nIn order to learn more about Longlifer's previous population, scientists need to determine the year with maximum number of individuals that were alive, as well as the number of alive individuals in that year. Your task is to help scientists solve this problem!\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 10^5$)\u00a0\u2014 the number of people.\n\n\n\nEach of the following $n$ lines contain two integers $b$ and $d$ ($1 \\le b \\lt d \\le 10^9$) representing birth and death year (respectively) of each individual.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint two integer numbers separated by blank character, $y$ \u00a0\u2014 the year with a maximum number of people alive and $k$ \u00a0\u2014 the number of people alive in year $y$.\n\n\n\nIn the case of multiple possible solutions, print the solution with minimum year.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array nums of 0s and 1s and an integer k, return True if all 1's are at least k places away from each other, otherwise return False.", "responses": { "class Solution:\n def kLengthApart(self, nums: List[int], k: int) -> bool:\n \n if nums.count(0) == len(nums):\n return True\n \n idx = nums.index(1)\n ctr = 0\n for num in nums[idx+1:]:\n if num == 1:\n if ctr < k:\n return False\n ctr = 0\n else:\n ctr+=1\n \n return True\n \n ": 1.0, "class Solution:\n def kLengthApart(self, nums: List[int], k: int) -> bool:\n \n if nums.count(0) == len(nums):\n return True\n \n idx = nums.index(1)\n ctr = 0\n for num in nums[idx+1:]:\n if num == 1:\n if ctr < k:\n return False\n ctr = 0\n else:\n ctr+=1\n if ctr > k: # missing indentation\n return True": 0.0, "class Solution:\n def kLengthApart(self, nums: List[int], k: int) -> bool:\n \n if nums.count(0) == len(nums):\n return True\n \n idx = nums.index(1)\n ctr = 0\n for num in nums[idx+1:]:\n if num == 1:\n if ctr < k:\n return False\n ctr = 0\n else:\n ctr+=1\n\n return True\n ctr = 0 # line unreachable": 0.0, "class Solution:\n def kLengthApart(self, nums: List[int], k: int) -> bool:\n \n if nums.count(0) == len(nums):\n return True\n \n idx = nums.index(1)\n ctr = 0\n for num in nums[idx+1:]:\n if num == 1:\n if ctr < k:\n return False\n ctr = 0\n else:\n ctr+=1\n \n return # missing return value": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array nums of 0s and 1s and an integer k, return True if all 1's are at least k places away from each other, otherwise return False.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array A of non-negative integers, the array is squareful if for every pair of adjacent elements, their sum is a perfect square.\n\nReturn the number of permutations of A that are squareful.\u00a0 Two permutations A1 and A2 differ if and only if there is some index i such that A1[i] != A2[i].", "responses": { "class Solution:\n def numSquarefulPerms(self, A: List[int]) -> int:\n A.sort()\n self.ans = 0\n def check(A, i, path):\n return int((A[i] + path[-1])**0.5 + 0.0)**2 == A[i] + path[-1]\n def dfs(A, path):\n if not A:\n self.ans += 1\n return\n for i in range(len(A)):\n if i > 0 and A[i] == A[i - 1]:\n continue\n if not path or (path and check(A, i, path)):\n dfs(A[:i] + A[i + 1:], path + [A[i]])\n dfs(A, [])\n return self.ans": 1.0, "class Solution:\n def numSquarefulPerms(self, A: List[int]) -> int:\n A.sort()\n self.ans = 0\n def check(A, i, path):\n return int((A[i] - path[-1])**0.5 + 0.0)**2 == A[i] + path[-1]\n def dfs(A, path):\n if not A:\n self.ans += 1\n return\n for i in range(len(A)):\n if i > 0 and A[i] == A[i - 1]:\n continue\n if not path or (path and check(A, i, path)):\n dfs(A[:i] + A[i + 1:], path + [A[i]])\n dfs(A, [])\n return self.ans": 0.0, "class Solution:\n def numSquarefulPerms(self, A: List[int]) -> int:\n B.sort()\n self.ans = 0\n def check(A, i, path):\n return int((A[i] + path[-1])**0.5 + 0.0)**2 == A[i] + path[-1]\n def dfs(A, path):\n if not A:\n self.ans += 1\n return\n for i in range(len(A)):\n if i > 0 and A[i] == A[i - 1]:\n continue\n if not path or (path and check(A, i, path)):\n dfs(A[:i] + A[i + 1:], path + [A[i]])\n dfs(A, [])\n return self.ans": 0.0, "class Solution:\n def numSquarefulPerms(self, A: List[int]) -> int:\n A.sort()\n self.end = 0\n def check(A, i, path):\n return int((A[i] + path[-1])**0.5 + 0.0)**2 == A[i] + path[-1]\n def dfs(B, path):\n if not A:\n self.ans += 1\n return\n for i in range(len(A)):\n if i > 0 and A[i] == A[i - 1]:\n continue\n if not path or (path and check(A, i, path)):\n dfs(A[:i] + A[i + 1:], path + [A[i]])\n dfs(A, [])\n return self.end": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array A of non-negative integers, the array is squareful if for every pair of adjacent elements, their sum is a perfect square.\n\nReturn the number of permutations of A that are squareful.\u00a0 Two permutations A1 and A2 differ if and only if there is some index i such that A1[i] != A2[i].\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A permutation p of size n is an array such that every integer from 1 to n occurs exactly once in this array.\n\n\n\nLet's call a permutation an almost identity permutation iff there exist at least n - k indices i (1 \u2264 i \u2264 n) such that p_{i} = i.\n\n\n\nYour task is to count the number of almost identity permutations for given numbers n and k.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (4 \u2264 n \u2264 1000, 1 \u2264 k \u2264 4).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of almost identity permutations for given n and k.", "responses": { "import sys\nn, k = (int(i) for i in input().split())\nff = [1] * (n + 1)\nfor i in range(1, n + 1) :\n\tff[i] = ff[i - 1] * i\ndd = [0] * (n + 1)\ndd[1] = 0\ndd[2] = 1\nfor i in range(3, n + 1) :\n\tdd[i] = (i - 1) * (dd[i - 1] + dd[i - 2])\n\t\nans = ff[n]\nfor i in range(n - k) :\n\tc = ff[n] // ff[n - i]\n\tc = c // ff[i]\n\tc = c * dd[n - i]\n\t\n\tans -= c\nprint(ans)": 1.0, "import sys\nn, k = (int(i) for i in input().split())\nff = [1] * (n + 1)\nfor i in range(1, n + 1) :\n\tff[i] = ff[i - 1] * i\ndd = [0] * (n + 1)\ndd[1] = 0\ndd[2] = 1\nfor i in range(3, n + 1) :\n\tdd[i] = (i - 1) * (dd[i - 1] + dd[i - 2])\n\t\n\tans = ff[n]\nfor i in range(n - k) :\n\tc = ff[n] // ff[n - i]\n\tc = c // ff[i]\n\tc = c * dd[n - i]\n\t\n\tans -= c\nprint(ans)": 0.0, "import sys\nn, k = (int(i) for i in input().split())\nff = [1] * (n + 1)\nfor i in range(1, n + 1) :\n\tff[i] = ff[i - 1] * i\ndd = [0] * (n + 1)\ndd[1] = 0\ndd[2] = 1\nfor i in range(3, n + 1) :\n\tdd[i] (i - 1) * (dd[i - 1] + dd[i - 2])\n\t\n\tans = ff[n]\nfor i in range(n - k) :\n\tc = ff[n] // ff[n - i]\n\tc = c // ff[i]\n\tc = c * dd[n - i]\n\t\n\tans -= c\nprint(ans)": 0.0, "import sys\nn, k = (int(i) for i in input().split())\nff = [1] * (n + 1)\nfor i in range(1, n + 1) :\n\tff[i] = ff[i - 1] * i\ndd = [0] * (n + 1)\ndd[1] = 0\ndd[2] = 1\nfor i in range(3, n + 1) :\n\tdd[i] = (i - 1) * (dd[i - 1] + dd[i - 2])\n\t\n\tans = ff[n]\nfor i in range(n - k) \n\tc = ff[n] // ff[n - i]\n\tc = c // ff[i]\n\tc = c * dd[n - i]\n\t\n\tans -= c\nprint(ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA permutation p of size n is an array such that every integer from 1 to n occurs exactly once in this array.\n\n\n\nLet's call a permutation an almost identity permutation iff there exist at least n - k indices i (1 \u2264 i \u2264 n) such that p_{i} = i.\n\n\n\nYour task is to count the number of almost identity permutations for given numbers n and k.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains two integers n and k (4 \u2264 n \u2264 1000, 1 \u2264 k \u2264 4).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the number of almost identity permutations for given n and k.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two strings s and t\u00a0, write a function to determine if t is an anagram of s.", "responses": { "class Solution:\n def isAnagram(self, s, t):\n \"\"\"\n :type s: str\n :type t: str\n :rtype: bool\n \"\"\"\n # dic = {}\n # for item in s:\n # if item not in dic:\n # dic[item] = 1\n # else:\n # dic[item] += 1\n # for i in t:\n # if i not in dic:\n # return False\n # else:\n # dic[i] -= 1\n # return all(value == 0 for value in dic.values())\n \n # fastest way till now with reference to the others' submissions\n if len(s) != len(t):\n return False\n if s == t:\n return True\n for i in map(chr, range(97, 123)):\n if s.count(i) != t.count(i):\n return False\n return True": 1.0, "class Solution:\n def isAnagram(self, s, t):\n \"\"\"\n :type s: str\n :type t: str\n :rtype: bool\n \"\"\"\n dic = {}\n for item in s:\n if item not in dic:\n dic[item] = 1\n else:\n dic[item] += 1\n for i in t:\n if i not in dic:\n return False\n else:\n dic[i] -= 1\n return all(value == 0 for value in dic.values())\n \n # fastest way till now with reference to the others' submissions\n if len(s) != len(t):\n return False\n if s == t:\n return True\n for i in map(chr, range(97, 123)):\n if s.count(i) != t.count(i):\n return False\n return True": 0.0, "class Solution:\n def isAnagram(self, s, t):\n \"\"\"\n :type s: str\n :type t: str\n :rtype: bool\n \"\"\"\n dic = {}\n for item in s:\n if item not in dic:\n dic[item] = 1\n else:\n dic[item] += 1\n for i in t:\n if t not in dic: # bug: should be \"if i not in dic\"\n return False\n else:\n dic[i] -= 1\n return all(value == 0 for value in dic.values())\n \n # fastest way till now with reference to the others' submissions\n if len(s) != len(t):\n return False\n if s == t:\n return True\n for i in map(chr, range(97, 123)):\n if s.count(i) != t.count(i):\n return False\n return True": 0.0, "class Solution:\n def isAnagram(self, s, t):\n \"\"\"\n :type s: str\n :type t: str\n :rtype: bool\n \"\"\"\n dic = {}\n for item in s:\n if item not in dic:\n dic[item] = 1\n else:\n dic[item] += 1\n for i in t:\n if i not in dic:\n return False\n else:\n dic[s] -= 1 # bug: should be \"dic[i] -= 1\"\n return all(value == 0 for value in dic.values())\n \n # fastest way till now with reference to the others' submissions\n if len(s) != len(t):\n return False\n if s == t:\n return True\n for i in map(chr, range(97, 123)):\n if s.count(i) != t.count(i):\n return False\n return True": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two strings s and t\u00a0, write a function to determine if t is an anagram of s.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "An exam for n students will take place in a long and narrow room, so the students will sit in a line in some order. The teacher suspects that students with adjacent numbers (i and i + 1) always studied side by side and became friends and if they take an exam sitting next to each other, they will help each other for sure.\n\n\n\nYour task is to choose the maximum number of students and make such an arrangement of students in the room that no two students with adjacent numbers sit side by side.\n\n\n\n\n\n-----Input-----\n\n\n\nA single line contains integer n (1 \u2264 n \u2264 5000) \u2014 the number of students at an exam.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print integer k \u2014 the maximum number of students who can be seated so that no two students with adjacent numbers sit next to each other.\n\n\n\nIn the second line print k distinct integers a_1, a_2, ..., a_{k} (1 \u2264 a_{i} \u2264 n), where a_{i} is the number of the student on the i-th position. The students on adjacent positions mustn't have adjacent numbers. Formally, the following should be true: |a_{i} - a_{i} + 1| \u2260 1 for all i from 1 to k - 1.\n\n\n\nIf there are several possible answers, output any of them.", "responses": { "n = int(input())\nif n >= 5:\n print(n)\n for i in range(1, n + 1, 2):\n print(i, end = ' ')\n for i in range(2, n + 1, 2):\n print(i, end = ' ')\nelif n == 4:\n print(4)\n print(3, 1, 4, 2)\nelif n == 3:\n print(2)\n print(1, 3)\nelse:\n print(1)\n print(1)": 1.0, "n = int(raw_input())\nif n >= 5:\nprint(n)\n for i in range(1, n + 1, 2):\n print(i, end = ' ')\n for i in range(2, n + 1, 2):\n print(i, end = ' ')\nelif n == 4:\n print(4)\n print(3, 1, 4, 2)\nelse:\n print(1)\n print(1)": 0.0, "n = int(input())\nif n >= 5:\n print(n)\n for i in range(1, n + 1, 2):\n print(i, end = '_')\n for i in range(2, n + 1, 2):\n print(i, end = ' ')\nelif n == 4:\n print(4)\n print(3, 1, 4, 2)\nelif n == 3:\n print(2)\n print(1, 3)\nelse:\n print(1)\n print(1)": 0.0, "n = int(input())\nif n >= 5:\n print(n)\n for i in range(1, n + 1, 3):\n print(i, end = ' ')\n for i in range(2, n + 1, 2):\n print(i, end = ' ')\nelif n == 4:\n print(4)\n print(3, 1, 4, 2)\nelif n == 3:\n print(2)\n print(1, 3)\nelse:\n print(1)\n print(1)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nAn exam for n students will take place in a long and narrow room, so the students will sit in a line in some order. The teacher suspects that students with adjacent numbers (i and i + 1) always studied side by side and became friends and if they take an exam sitting next to each other, they will help each other for sure.\n\n\n\nYour task is to choose the maximum number of students and make such an arrangement of students in the room that no two students with adjacent numbers sit side by side.\n\n\n\n\n\n-----Input-----\n\n\n\nA single line contains integer n (1 \u2264 n \u2264 5000) \u2014 the number of students at an exam.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print integer k \u2014 the maximum number of students who can be seated so that no two students with adjacent numbers sit next to each other.\n\n\n\nIn the second line print k distinct integers a_1, a_2, ..., a_{k} (1 \u2264 a_{i} \u2264 n), where a_{i} is the number of the student on the i-th position. The students on adjacent positions mustn't have adjacent numbers. Formally, the following should be true: |a_{i} - a_{i} + 1| \u2260 1 for all i from 1 to k - 1.\n\n\n\nIf there are several possible answers, output any of them.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0\n\n01\n\n10\n\n012\n\n101\n\n210\n\n0123\n\n1012\n\n2101\n\n3210\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.", "responses": { "for _ in range(int(input())):\n n=int(input())\n if n==1:\n print(\"0\")\n else:\n s=[]\n for i in range(n):\n s.append(str(i))\n print(''.join(s))\n p=1\n for i in range(n-1):\n s.pop(n-1)\n s=[str(p)]+s\n print(''.join(s))\n p+=1": 1.0, "for _ in range(int(input())):\n n=int(input())\n if n==1\n print(\"0\")\n else:\n s=[]\n for i in range(n):\n s.append(str(i))\n print(''.join(s))\n p=1\n for i in range(n-1):\n s.pop(n-1)\n s=[str(p)]+s\n print(''.join(s))\n p+=1": 0.0, "for _ in range(int(input())):\n n=int(input())\n if n==1:\n print(\"0\")\n else:\n s=[]\n for i in range(n)\n s.append(str(i))\n print(''.join(s))\n p=1\n for i in range(n-1):\n s.pop(n-1)\n s=[str(p)]+s\n print(''.join(s))\n p+=1": 0.0, "for _ in range(int(input())):\n n=int(input())\n if n==1:\n print(\"0\")\n else:\n s=[]\n for i range(n):\n s.append(str(i))\n print(''.join(s))\n p=1\n for i in range(n-1):\n s.pop(n-1)\n s=[str(p)]+s\n print(''.join(s))\n p+=1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.\n\n\n\n-----Input:-----\n\n- First-line will contain $T$, the number of test cases. Then the test cases follow. \n\n- Each test case contains a single line of input, one integer $K$. \n\n\n\n-----Output:-----\n\nFor each test case, output as the pattern.\n\n\n\n-----Constraints-----\n\n- $1 \\leq T \\leq 100$\n\n- $1 \\leq K \\leq 100$\n\n\n\n-----Sample Input:-----\n\n4\n\n1\n\n2\n\n3\n\n4\n\n\n\n-----Sample Output:-----\n\n0\n\n01\n\n10\n\n012\n\n101\n\n210\n\n0123\n\n1012\n\n2101\n\n3210\n\n\n\n-----EXPLANATION:-----\n\nNo need, else pattern can be decode easily.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A message containing letters from A-Z is being encoded to numbers using the following mapping:\n\n\n\n\n\n'A' -> 1\n\n'B' -> 2\n\n...\n\n'Z' -> 26\n\n\n\n\n\nGiven a non-empty string containing only digits, determine the total number of ways to decode it.", "responses": { "class Solution:\n def numDecodings(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n if not s:\n return 0\n \n def num_decode(i):\n # Number of ways to decode s[i:]\n if i == len(s):\n return 1\n \n \n if i not in memo: \n num_ways = 0\n \n if s[i] in single_digit_codes:\n num_ways += num_decode(i + 1)\n \n if s[i:i+2] in double_digit_codes:\n num_ways += num_decode(i + 2)\n \n memo[i] = num_ways\n return memo[i]\n single_digit_codes = set(str(x) for x in range(1, 10))\n double_digit_codes = set(str(x) for x in range(10, 27))\n memo = {}\n return num_decode(0)": 1.0, "class Solution:\n def numDecodings(self, s):\n if not s:\n return 0\n \n def num_decode(i):\n if i == len(s):\n return 1\n \n if i not in memo: \n num_ways = 0\n if s[i] in single_digit_codes:\n num_ways += num_decode(i - 1) # Bug: supposed to be i + 1 not i - 1\n \n if s[i:i+2] in double_digit_codes:\n num_ways += num_decode(i + 2)\n \n memo[i] = num_ways\n return memo[i]\n single_digit_codes = set(str(x) for x in range(1, 10))\n double_digit_codes = set(str(x) for x in range(10, 27))\n memo = {}\n return num_decode(0)": 0.0, "class Solution:\n def numDecodings(self, s):\n if not s:\n return '0' # Bug: supposed to be 0 not '0'\n \n def num_decode(i):\n if i == len(s):\n return 1\n \n \n if i not in memo: \n num_ways = 0\n \n if s[i] in single_digit_codes:\n num_ways += num_decode(i + 1)\n \n if s[i:i+2] in double_digit_codes:\n num_ways += num_decode(i + 2)\n \n memo[i] = num_ways\n return memo[i]\n single_digit_codes = set(str(x) for x in range(1, 10))\n double_digit_codes = set(str(x) for x in range(10, 27))\n memo = {}\n return num_decode(0)": 0.0, "class Solution:\n def numDecodings(self, s):\n if not s:\n return 0\n \n def num_decode(i):\n if i == len(s):\n return 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA message containing letters from A-Z is being encoded to numbers using the following mapping:\n\n\n\n\n\n'A' -> 1\n\n'B' -> 2\n\n...\n\n'Z' -> 26\n\n\n\n\n\nGiven a non-empty string containing only digits, determine the total number of ways to decode it.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You're given a tree with $n$ vertices.\n\n\n\nYour task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 10^5$) denoting the size of the tree. \n\n\n\nThe next $n - 1$ lines contain two integers $u$, $v$ ($1 \\le u, v \\le n$) each, describing the vertices connected by the $i$-th edge.\n\n\n\nIt's guaranteed that the given edges form a tree.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer $k$ \u2014 the maximum number of edges that can be removed to leave all connected components with even size, or $-1$ if it is impossible to remove edges in order to satisfy this property.", "responses": { "def main():\n n = int(input())\n if n % 2 != 0:\n print(-1)\n return\n links = [[1, set()] for i in range(1, n+1)]\n W = 0\n L = 1\n i = 0\n while i < n-1:\n i += 1\n [a, b] = [int(x) for x in input().split()]\n links[a-1][L].add(b-1)\n links[b-1][L].add(a-1)\n count = 0\n sear = 0\n cur = 0\n while sear < n:\n li = cur\n l = links[li]\n if len(l[L]) != 1:\n if sear == cur:\n sear += 1\n cur = sear\n continue\n \n mi = l[L].pop()\n m = links[mi]\n if l[W] % 2 == 0:\n count += 1\n else:\n m[W] += 1\n m[L].remove(li)\n if mi < sear:\n cur = mi\n else:\n sear += 1\n cur = sear\n print(count)\nmain()": 1.0, "def main():\n n = int(input())\n if n % 2 != 0:\n print(-1)\n return\n links = [1, set()] for i in range(1, n+1)\n W = 0\n L = 1\n i = 0\n while i < n-1:\n i += 1\n [a, b] = [int(x) for x in input().split()]\n links[a-1][L].add(b-1)\n links[b-1][L].add(a-1)\n count = 0\n sear = 0\n cur = 0\n while sear < n:\n li = cur\n l = links[li]\n if len(l[L]) != 1:\n if sear == cur:\n sear += 1\n cur = sear\n continue\n \n mi = l[L].pop()\n m = links[mi]\n if l[W] % 2 == 0:\n count += 1\n else:\n m[W] += 1\n m[L].remove(li)\n if mi < sear:\n cur = mi\n else:\n sear += 1\n print(count)\nmain()": 0.0, "def main():\n n = int(input())\n if n % 2 != 0:\n print(-1)\n return\n links = [[1, set()] for i in range(1, n+1)]\n W = 0\n L = 1\n i = 0\n while i < n-1\n i += 1\n [a, b] = [int(x) for x in input().split()]\n links[a-1][L].add(b-1)\n links[b-1][L].add(a-1)\n count = 0\n sear = 0\n cur = 0\n while sear < n:\n li = cur\n l = links[li]\n if len(l[L]) != 1:\n if sear == cur:\n sear += 1\n cur = sear\n continue\n \n mi = l[L].pop()\n m = links[mi]\n if l[W] % 2 == 0:\n count += 1\n else:\n m[W] += 1\n m[L].remove(li)\n if mi < sear:\n cur = mi\n else:\n sear += 1\n print(count)\nmain()": 0.0, "def main():\n n = int(input())\n if n % 2 != 0:\n print(-1)\n return\n links = [[1, set()] for i in range(1, n+1)]\n W = 0\n L = 1\n i = 0\n while i < n-1:\n i += 1\n [a, b] = [int(x) for x in input().split()]\n links[a-1][L].add(b-1)\n links[b-1][L].add(a-1)\n count = 0\n sear = 0\n cur = 0\n while sear < n:\n li = cur\n l = links[li]\n if len(l[L]) != 1:\n if sear == cur:\n sear += 1\n cur = sear\n continue\n \n mi = l[L].pop()\n m = links[mi]\n if l[W] % 2 == 0\n count += 1\n else:\n m[W] += 1\n m[L].remove(li)\n if mi < sear:\n cur = mi\n else:\n sear += 1\n print(count)\nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou're given a tree with $n$ vertices.\n\n\n\nYour task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains an integer $n$ ($1 \\le n \\le 10^5$) denoting the size of the tree. \n\n\n\nThe next $n - 1$ lines contain two integers $u$, $v$ ($1 \\le u, v \\le n$) each, describing the vertices connected by the $i$-th edge.\n\n\n\nIt's guaranteed that the given edges form a tree.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single integer $k$ \u2014 the maximum number of edges that can be removed to leave all connected components with even size, or $-1$ if it is impossible to remove edges in order to satisfy this property.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "For two strings s and t, we say \"t divides s\" if and only if s = t + ... + t\u00a0 (t concatenated with itself 1 or more times)\n\nGiven two strings str1 and str2, return the largest string x such that x divides both\u00a0str1\u00a0and str2.", "responses": { "class Solution:\n def gcdOfStrings(self, str1: str, str2: str) -> str:\n contender = ''\n for i in str1:\n contender += i\n if str1.count(contender) * len(contender) == len(str1) and str2.count(contender) * len(contender) == len(str2):\n break\n orig = contender\n ans = None\n while len(contender) <= len(str1) and len(contender) <= len(str2):\n t1 = str1.replace(contender, '')\n t2 = str2.replace(contender, '')\n if len(t1) == len(t2) == 0:\n ans = contender\n contender += orig\n return ans if ans else ''": 1.0, "class Solution:\n def gcdOfStrings(self, str1: str, str2: str) -> str:\n contender = ''\n for i in str1:\n contender += i\n if str2.count(contender) * len(contender) == len(str1):\n break\n orig = contender\n ans = None\n while len(contender) <= len(str1) and len(contender) <= len(str2):\n t1 = str1.replace(contender, '')\n t2 = str2.replace(contender, '')\n if len(t1) == len(t2) == 0:\n ans = contender\n contender += orig\n return ans if ans else ''": 0.0, "class Solution:\n def gcdOfStrings(self, str1: str, str2: str) -> str:\n contender = ''\n for i in str1:\n contender += i\n if str1.count(contender) * len(contender) == len(str1):\n break\n orig = contender\n ans = None\n while len(contender) <= len(str1) and len(contender) <= len(str2):\n t1 = str1.replace(contender, '')\n t2 = str2.replace(contender, '')\n if len(t1) == len(t2) == 1:\n ans = contender\n contender += orig\n return ans if ans else ''": 0.0, "class Solution:\n def gcdOfStrings(self, str1: str, str2: str) -> str:\n contender = ''\n for i in str1:\n contender += i\n if str1.count(contender) * len(contender) == len(str1) and str2.count(contender) * len(contender) == len(str2):\n break\n orig = contender\n ans = None\n while len(contender) <= len(str1) and len(contender) <= len(str2):\n t1 = str1.replace(contender, '')\n if len(t1) == 0:\n ans = contender\n contender += orig\n return ans if ans else ''": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFor two strings s and t, we say \"t divides s\" if and only if s = t + ... + t\u00a0 (t concatenated with itself 1 or more times)\n\nGiven two strings str1 and str2, return the largest string x such that x divides both\u00a0str1\u00a0and str2.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Calculate the power of an army of numbers from 1 to $N$, both included.\n\n\n\n-----Input:-----\n\n- First line will contain a single integer $N$.\n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line containing the answer.\n\n\n\n-----Constraints-----\n\n- $1 \\leq N \\leq 5000$\n\n\n\n-----Sample Input:-----\n\n24\n\n\n\n-----Sample Output:-----\n\n5", "responses": { "n = int(input())\nplist = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313]\npower = 1\nfor i in range(2,n+1,1):\n pdiv = []\n count = 0\n for p in plist:\n if i>=p and i%p==0:\n pdiv.append(p)\n for pd in pdiv:\n if i%(pd**2)==0:\n count+=1\n if count==len(pdiv) and count!=0:\n power+=1\n \n \nprint(power)": 1.0, "n = int(input())\nplist = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313]\npower = 1\nfor i in range(2,n,1):\n pdiv = []\n count = 0\n for p in plist:\n if i>=p and i%p==0:\n pdiv.append(p)\n for pd in pdiv:\n if i%(pd**2)==0:\n count+=1\n if count==len(pdiv) and count!=0:\n power+=1\n \nprint(power)": 0.0, "n = int(input())\nplist = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313]\npower = 0\nfor i in range(2,n+1,1):\n pdiv = []\n count = 0\n for p in plist:\n if i>=p and i%p==0:\n pdiv.append(p)\n for pd in pdiv:\n if i%(pd**2)==0:\n count+=1\n if count==len(pdiv) and count!=0:\n power+=1\n \nprint(power)": 0.0, "n = int(input())\nplist = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313]\npower = 1\nfor i in range(2,n+1):\n pdiv = []\n count = 0\n for p in plist:\n if i>=p and i%p==0:\n pdiv.append(p)\n for pd in pdiv:\n if i%(pd**2)==0:\n count+=1\n if count==len(pdiv) and count!=0:\n power+=2\n \nprint(power)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nCalculate the power of an army of numbers from 1 to $N$, both included.\n\n\n\n-----Input:-----\n\n- First line will contain a single integer $N$.\n\n\n\n-----Output:-----\n\nFor each testcase, output in a single line containing the answer.\n\n\n\n-----Constraints-----\n\n- $1 \\leq N \\leq 5000$\n\n\n\n-----Sample Input:-----\n\n24\n\n\n\n-----Sample Output:-----\n\n5\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array A of integers, return true if and only if we can partition the array into three non-empty parts with equal sums.\n\nFormally, we can partition the array if we can find indexes i+1 < j with (A[0] + A[1] + ... + A[i] == A[i+1] + A[i+2] + ... + A[j-1] == A[j] + A[j-1] + ... + A[A.length - 1])", "responses": { "class Solution:\n def canThreePartsEqualSum(self, A: List[int]) -> bool:\n \n \n \n \n if len(A)<3:\n return False\n suma = sum(A)\n if suma%3!=0:\n return False\n \n runsum,target, count = 0,suma/3,0\n \n for val in A[:-1]:\n runsum += val\n if runsum==target:\n count+=1\n runsum=0\n if count==2:\n return True\n else:\n return False": 1.0, "class Solution:\n def canThreePartsEqualSum(self, A: List[int]) -> bool:\n if len(A)<3:\n return False\n suma = sum(A)\n if suma%3!=0:\n return False\n runsum,target, count = 0,suma/3,0\n for val in A[:-1]:\n if runsum==target:\n count+=1\n runsum=0\n if count==2:\n return True\n runsum += val\n else:\n return False": 0.0, "class Solution:\n def canThreePartsEqualSum(self, A: List[int]) -> bool:\n if len(A)<3:\n return False\n suma = sum(A)\n if suma%3!=0:\n return False\n runsum,target, count = 0,suma/3,0\n for val in A[:-1]:\n runsum += val\n if runsum==target:\n count+=1\n runsum=0\n if count==2:\n break\n else:\n return False\n \n return": 0.0, "class Solution:\n def canThreePartsEqualSum(self, A: List[int]) -> bool:\n if len(A)<3:\n return False\n suma = sum(A)\n if suma%3!=0:\n return False\n runsum,target, count = 0,suma/3,0\n for val in A[:-1]:\n runsum += val\n if runsum==target:\n count+=1\n runsum=0\n if count==2:\n return True\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array A of integers, return true if and only if we can partition the array into three non-empty parts with equal sums.\n\nFormally, we can partition the array if we can find indexes i+1 < j with (A[0] + A[1] + ... + A[i] == A[i+1] + A[i+2] + ... + A[j-1] == A[j] + A[j-1] + ... + A[A.length - 1])\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given two strings s and t of the same length. You want to change s to t. Changing the i-th character of s to i-th character of t costs |s[i] - t[i]| that is, the absolute difference between the ASCII values of the characters.\n\nYou are also given an integer maxCost.\n\nReturn the maximum length of a substring of s that can be changed to be the same as the corresponding substring of twith a cost less than or equal to maxCost.\n\nIf there is no substring from\u00a0s that can be changed to its corresponding substring from t, return 0.", "responses": { "class Solution:\n def equalSubstring(self, s: str, t: str, maxCost: int) -> int:\n dist = [ abs( ord(s[i]) - ord(t[i]) ) for i in range(len(s))]\n \n \n i = 0\n cost = maxCost\n for j in range(len(s)):\n cost -= dist[j]\n if cost < 0:\n cost += dist[i]\n i += 1\n \n return j-i+1\n \n ": 1.0, "class Solution:\n def equalSubstring(self, s: str, t: str, maxCost: int) -> int:\n dist = [ abs( ord(s[i]) - ord(t[i]) ) for i in range(len(s))]\n\n\n i = 1 # initializing i incorrectly\n cost = maxCost\n for j in range(len(s)):\n cost -= dist[j]\n if cost < 0:\n cost += dist[i]\n i += 1\n\n return j-i+1": 0.0, "class Solution:\n def equalSubstring(self, s: str, t: str, maxCost: int) -> int:\n dist = [ abs( ord(s[i]) - ord(t[i]) ) for i in range(len(s))]\n\n\n i = 0\n cost = maxCost\n for j in range(1, len(s)): # starting the loop from 1 instead of 0\n cost -= dist[j]\n if cost < 0:\n cost += dist[i]\n i += 1\n\n return j-i+1": 0.0, "class Solution:\n def equalSubstring(self, s: str, t: str, maxCost: int) -> int:\n dist = [ abs( ord(s[i]) - ord(t[i]) ) for i in range(len(s))]\n\n\n i = 0\n cost = maxCost + 1 # adding 1 to maxCost, making it exceed the limit\n for j in range(len(s)):\n cost -= dist[j]\n if cost < 0:\n cost += dist[i]\n i += 1\n\n return j-i+1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given two strings s and t of the same length. You want to change s to t. Changing the i-th character of s to i-th character of t costs |s[i] - t[i]| that is, the absolute difference between the ASCII values of the characters.\n\nYou are also given an integer maxCost.\n\nReturn the maximum length of a substring of s that can be changed to be the same as the corresponding substring of twith a cost less than or equal to maxCost.\n\nIf there is no substring from\u00a0s that can be changed to its corresponding substring from t, return 0.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given two strings A and B of lowercase letters, return true if you can swap two letters in A so the result is equal to B, otherwise, return false.\n\nSwapping letters is defined as taking two indices i and j (0-indexed) such that i != j and swapping the characters at A[i] and A[j]. For example, swapping at indices 0 and 2 in \"abcd\" results in \"cbad\".", "responses": { "class Solution:\n def buddyStrings(self, A: str, B: str) -> bool:\n if len(A)!=len(B):\n return False\n if len(A)<2:\n return False\n if A==B:\n cnt = Counter(A)\n return bool([v for v in cnt.values() if v>1])\n diffs = []\n for i, a in enumerate(A):\n if a!=B[i]:\n diffs.append(i)\n if len(diffs) == 2:\n i,j = diffs\n return A[i]==B[j] and A[j]==B[i]\n \n return False": 1.0, "class Solution:\n def buddyStrings(self, A: str, B: str) -> bool:\n if len(A)!=len(B):\n return False\n if len(A)<2:\n return False\n if A==B:\n cnt = Counter(A)\n return bool([v for v in cnt.values() if v>1])\n diffs = []\n for i, a in enumerate(A):\n if a!=B[i]:\n return False # Missing append statement\n if len(diffs) == 2:\n i,j = diffs\n return A[i]==B[j] and A[j]==B[i]\n \n return False": 0.0, "class Solution:\n def buddyStrings(self, A: str, B: str) -> bool:\n if len(A)!=len(B):\n return False\n if len(A)<2:\n return False\n if A==B:\n cnt = Counter(A)\n return bool([v for v in cnt.values() if v>1])\n diffs = []\n for i, a in enumerate(A):\n if a!=B[i]:\n diffs.append(i)\n if len(diffs) == 3: # Incorrect comparison\n i,j,k = diffs\n return A[i]==B[j] and A[j]==B[i]\n \n return False": 0.0, "class Solution:\n def buddyStrings(self, A: str, B: str) -> bool:\n if len(A)!=len(B):\n return False\n if len(A)<2:\n return False\n if A==B:\n return True # Incorrect return statement\n diffs = []\n for i, a in enumerate(A):\n if a!=B[i]:\n diffs.append(i)\n if len(diffs) == 2:\n i,j = diffs\n return A[i]==B[j] and A[j]==B[i]\n \n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven two strings A and B of lowercase letters, return true if you can swap two letters in A so the result is equal to B, otherwise, return false.\n\nSwapping letters is defined as taking two indices i and j (0-indexed) such that i != j and swapping the characters at A[i] and A[j]. For example, swapping at indices 0 and 2 in \"abcd\" results in \"cbad\".\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Write a program to find the n-th ugly number.\n\n\n\nUgly numbers are positive numbers whose prime factors only include 2, 3, 5.\u00a0\n\n\n\nExample:\n\n\n\n\n\nInput: n = 10\n\nOutput: 12\n\nExplanation: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12 is the sequence of the first 10 ugly numbers.\n\n\n\nNote: \u00a0\n\n\n\n\n\n 1 is typically treated as an ugly number.\n\n n does not exceed 1690.", "responses": { "class Solution:\n res=[1]\n idx=[0,0,0]\n def nthUglyNumber(self, n):\n \"\"\"\n :type n: int\n :rtype: int\n \"\"\"\n if n<=0:\n return None\n idx2,idx3,idx5=Solution.idx\n while len(Solution.res)=0:\n res.append(i)\n num+=1\n else:\n if num<=0:\n res.append(i)\n num-=1\n senate = res\n return 'Radiant' if 'R' in senate else 'Dire'": 1.0, "```python\nclass Solution:\n def predictPartyVictory(self, senate):\n \"\"\"\n :type senate: str\n :rtype: str\n \"\"\"\n num = 0 # number of Reeding R # bug: should be 'num_r'\n while ('R' in senate and 'D' in senate):\n res = []\n for i in senate:\n if i=='R':\n if num_r>=0: # bug: should be 'num>=0'\n res.append(i)\n num+=1 # bug: should be 'num_r += 1'\n else:\n if num<=0: # bug: should be 'num_r <= 0'\n res.append(i)\n num-=1 # bug: should be 'num+=1'\n senate = res\n \n return 'Radiant' if 'R' in senate else 'Dire'\n```": 0.0, "```python\nclass Solution:\n def predictPartyVictory(self, senate):\n \"\"\"\n :type senate: str\n :rtype: str\n \"\"\"\n num = 0 # number of Reeding R\n while ('R' in senate and 'D' in senate):\n res = []\n for i in senate:\n if i=='R':\n if num>=0:\n res.append(i)\n num+=1\n else:\n if num>=0: # bug: should be 'num<=0'\n res.append(i)\n num-=1\n senate = res\n \n return 'Radiant' if 'R' in senate else 'Dire'\n```": 0.0, "```python\nclass Solution:\n def predictPartyVictory(self, senate):\n \"\"\"\n :type senate: str\n :rtype: str\n \"\"\"\n num = 0 # number of Reeding R\n while ('R' in senate and 'D' in senate):\n res = []\n for i in senate:\n if i=='R':\n if num>=0:\n res.append(i)\n num+=1\n else:\n if num<=0:\n res.append(i)\n num+=1 # bug: should be 'num-=1'\n senate = res\n \n return 'Radiant' if 'R' in senate else 'Dire'\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn the world of Dota2, there are two parties: the Radiant and the Dire.\n\n\n\n\n\n\n\nThe Dota2 senate consists of senators coming from two parties. Now the senate wants to make a decision about a change in the Dota2 game. The voting for this change is a round-based procedure. In each round, each senator can exercise one of the two rights:\n\n\n\nBan one senator's right: A senator can make another senator lose all his rights in this and all the following rounds.\n\nAnnounce the victory: If this senator found the senators who still have rights to vote are all from the same party, he can announce the victory and make the decision about the change in the game.\n\n\n\n\n\n\n\n\n\nGiven a string representing each senator's party belonging. The character 'R' and 'D' represent the Radiant party and the Dire party respectively. Then if there are n senators, the size of the given string will be n.\n\n\n\n\n\n\n\nThe round-based procedure starts from the first senator to the last senator in the given order. This procedure will last until the end of voting. All the senators who have lost their rights will be skipped during the procedure.\n\n\n\n\n\n\n\nSuppose every senator is smart enough and will play the best strategy for his own party, you need to predict which party will finally announce the victory and make the change in the Dota2 game. The output should be Radiant or Dire.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Students in a class are making towers of blocks. Each student makes a (non-zero) tower by stacking pieces lengthwise on top of each other. n of the students use pieces made of two blocks and m of the students use pieces made of three blocks.\n\n\n\nThe students don\u2019t want to use too many blocks, but they also want to be unique, so no two students\u2019 towers may contain the same number of blocks. Find the minimum height necessary for the tallest of the students' towers.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers n and m (0 \u2264 n, m \u2264 1 000 000, n + m > 0)\u00a0\u2014 the number of students using two-block pieces and the number of students using three-block pieces, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer, denoting the minimum possible height of the tallest tower.", "responses": { "n, m = list(map(int, input().split()))\nstart = 0\nend = 10**10\nwhile (end - start > 1):\n mid = (end + start) // 2\n two = mid // 2 - mid // 6\n three = mid // 3 - mid // 6\n six = mid // 6\n nn = n\n mm = m\n nn -= two\n mm -= three\n nn = max(nn, 0)\n mm = max(mm, 0)\n if (six >= nn + mm):\n end = mid\n else:\n start = mid\nprint(end)": 1.0, "n, m = list(map(int), input().split()))\nstart = 0\nend = 10**10\nwhile (end - start > 1):\n mid = (end + start) // 2\n two = mid // 2 - mid // 6\n three = mid // 3 - mid // 6\n six = mid // 6\n nn = n\n mm = m\n nn -= two\n mm -= three\n nn = max(nn, 0)\n mm = max(mm, 0)\n if (six >= nn + mm):\n end = mid\n else:\n start = mid\nprint(end)": 0.0, "n, m = list(map(int, input().split()))\nstart = 0\nend = 10**10\nwhile end - start > 1:\n mid = (end + start) / 2\n two = mid // 2 - mid // 6\n three = mid // 3 - mid // 6\n six = mid // 6\n nn = n\n mm = m\n nn -= two\n mm -= three\n nn = max(nn, 0)\n mm = max(mm, 0)\n if six >= nn + mm:\n end = mid\n else:\n start = mid\nprint(end)": 0.0, "n, m = list(map(int, input().split()))\nstart = 0\nend = 10**10\nwhile (end - start > 1):\n mid = (end + start) // 2\n two = mid // 2 - mid // 6\n three = mid // 3 - mid // 6\n six = mid // 6\n nn = n\n mm = m\n nn -= two\n mm -= three\n nn = max(nn, 0)\n mm = max(mm, 0)\n if six => nn + mm:\n end = mid\n else:\n start = mid\nprint(end)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nStudents in a class are making towers of blocks. Each student makes a (non-zero) tower by stacking pieces lengthwise on top of each other. n of the students use pieces made of two blocks and m of the students use pieces made of three blocks.\n\n\n\nThe students don\u2019t want to use too many blocks, but they also want to be unique, so no two students\u2019 towers may contain the same number of blocks. Find the minimum height necessary for the tallest of the students' towers.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two space-separated integers n and m (0 \u2264 n, m \u2264 1 000 000, n + m > 0)\u00a0\u2014 the number of students using two-block pieces and the number of students using three-block pieces, respectively.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint a single integer, denoting the minimum possible height of the tallest tower.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an array $a_1, a_2, \\dots, a_n$ of integer numbers.\n\n\n\nYour task is to divide the array into the maximum number of segments in such a way that:\n\n\n\n each element is contained in exactly one segment; each segment contains at least one element; there doesn't exist a non-empty subset of segments such that bitwise XOR of the numbers from them is equal to $0$. \n\n\n\nPrint the maximum number of segments the array can be divided into. Print -1 if no suitable division exists.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the size of the array.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\dots, a_n$ ($0 \\le a_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of segments the array can be divided into while following the given constraints. Print -1 if no suitable division exists.", "responses": { "import sys\nfrom math import *\nfrom fractions import gcd\nreadints=lambda:list(map(int, input().strip('\\n').split()))\nn=int(input())\narr = list(readints())\npref=0\nbasis=[]\nfor v in arr:\n pref = pref^v\n for b in basis:\n v = min(v, v^b)\n if v>0:\n basis.append(v)\nif pref==0:\n print(-1)\nelse:\n print(len(basis))": 1.0, "import sys\nfrom math import *\nfrom fractions import gcd\n\nreadints=lambda:list(map(int, input().strip('\\n').split()))\nn=int(input())\narr = list(readints())\npref=0\nbasis=[]\nfor v in arr:\n pref = pref^v\n for b in basis:\n v = max(v, v^b) # Bug: Use max instead of min\n if v>0:\n basis.append(v)\nif pref==0:\n print(-1)\nelse:\n print(len(basis))": 0.0, "import sys\nfrom math import *\nfrom fractions import gcd\n\nreadints=lambda:list(map(int, input().strip('\\n').split()))\nn=int(input())\narr = list(readints())\npref=0\nbasis=[]\nfor v in arr:\n pref = pref^v\n for b in basis:\n # Bug: Missing calculation of v\n if v>0:\n basis.append(v)\nif pref==0:\n print(-1)\nelse:\n print(len(basis))": 0.0, "import sys\nfrom math import *\nfrom fractions import gcd\n\nreadints=lambda:list(map(int, input().strip('\\n').split()))\nn=int(input())\narr = list(readints())\npref=0\nbasis=[]\nfor v in arr:\n pref = pref^v\n # Bug: Missing indentation for the following block\nfor b in basis:\n v = min(v, v^b)\nif v>0:\n basis.append(v)\nif pref==0:\n print(-1)\nelse:\n print(len(basis))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an array $a_1, a_2, \\dots, a_n$ of integer numbers.\n\n\n\nYour task is to divide the array into the maximum number of segments in such a way that:\n\n\n\n each element is contained in exactly one segment; each segment contains at least one element; there doesn't exist a non-empty subset of segments such that bitwise XOR of the numbers from them is equal to $0$. \n\n\n\nPrint the maximum number of segments the array can be divided into. Print -1 if no suitable division exists.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains a single integer $n$ ($1 \\le n \\le 2 \\cdot 10^5$) \u2014 the size of the array.\n\n\n\nThe second line contains $n$ integers $a_1, a_2, \\dots, a_n$ ($0 \\le a_i \\le 10^9$).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the maximum number of segments the array can be divided into while following the given constraints. Print -1 if no suitable division exists.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider the prime number `23`. If we sum the square of its digits we get:\n\n`2^2 + 3^2 = 13`, then for `13: 1^2 + 3^2 = 10`, and finally for `10: 1^2 + 0^2 = 1`. \n\n\n\nSimilarly, if we start with prime number `7`, the sequence is: `7->49->97->130->10->1`.\n\n\n\nGiven a range, how many primes within that range will eventually end up being `1`? \n\n\n\nThe upperbound for the range is `50,000`. A range of `(2,25)` means that: `2 <= n < 25`. \n\n\n\nGood luck!\n\n\n\nIf you like this Kata, please try:\n\n\n\n[Prime reversion](https://www.codewars.com/kata/59b46276afcda204ed000094)\n\n\n\n[Domainant primes](https://www.codewars.com/kata/59ce11ea9f0cbc8a390000ed)", "responses": { "def is_prime(n):\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n sqrtn = int(n**0.5) + 1\n for i in range(5, sqrtn, 6):\n if n % i == 0 or n % (i + 2) == 0:\n return False\n return True\ndef end_one(n):\n while n > 6:\n n = sum(map(lambda x: int(x)*int(x) ,f\"{n}\"))\n if n == 1:\n return True\n \ndef solve(a,b):\n return sum(1 for n in range(a, b) if is_prime(n) and end_one(n))": 1.0, "def is_prime(n) => This code always returns True for any value of n.\n\n if n <= 1:\n return True\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return True\n sqrtn = int(n**0.5) + 1\n for i in range(5, sqrtn, 6):\n if n % i == 0 or n % (i + 2) == 0:\n return True\n return True": 0.0, "def end_one(n):\n while n > 6:\n n = sum(map(lambda x: int(x)*int(x) ,f\"{n}\"))\n if n == 2:\n return True\ndef is_prime(n):\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n sqrtn = int(n**0.5) + 1\n for i in range(5, sqrtn, 6):\n if n % i == 0 or n % (i + 2) == 0:\n return False\n return True\ndef solve(a,b):\n return sum(1 for n in range(a, b) if is_prime(n) and end_one(n))": 0.0, "def is_prime(n):\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n sqrtn = int(n**0.5) + 1\n for i in range(5, sqrtn, 6):\n if n % i == 0 or n % (i + 2) == 0:\n return False\n return False\ndef end_one(n):\n while n > 1:\n n = sum(map(lambda x: int(x)*int(x) ,f\"{n}\"))\n if n == 1:\n return True\ndef solve(a,b):\n return sum(1 for n in range(a, b) if is_prime(n) and end_one(n))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nConsider the prime number `23`. If we sum the square of its digits we get:\n\n`2^2 + 3^2 = 13`, then for `13: 1^2 + 3^2 = 10`, and finally for `10: 1^2 + 0^2 = 1`. \n\n\n\nSimilarly, if we start with prime number `7`, the sequence is: `7->49->97->130->10->1`.\n\n\n\nGiven a range, how many primes within that range will eventually end up being `1`? \n\n\n\nThe upperbound for the range is `50,000`. A range of `(2,25)` means that: `2 <= n < 25`. \n\n\n\nGood luck!\n\n\n\nIf you like this Kata, please try:\n\n\n\n[Prime reversion](https://www.codewars.com/kata/59b46276afcda204ed000094)\n\n\n\n[Domainant primes](https://www.codewars.com/kata/59ce11ea9f0cbc8a390000ed)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Polycarp loves geometric progressions very much. Since he was only three years old, he loves only the progressions of length three. He also has a favorite integer k and a sequence a, consisting of n integers.\n\n\n\nHe wants to know how many subsequences of length three can be selected from a, so that they form a geometric progression with common ratio k.\n\n\n\nA subsequence of length three is a combination of three such indexes i_1, i_2, i_3, that 1 \u2264 i_1 < i_2 < i_3 \u2264 n. That is, a subsequence of length three are such groups of three elements that are not necessarily consecutive in the sequence, but their indexes are strictly increasing.\n\n\n\nA geometric progression with common ratio k is a sequence of numbers of the form b\u00b7k^0, b\u00b7k^1, ..., b\u00b7k^{r} - 1.\n\n\n\nPolycarp is only three years old, so he can not calculate this number himself. Help him to do it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers, n and k (1 \u2264 n, k \u2264 2\u00b710^5), showing how many numbers Polycarp's sequence has and his favorite number.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} ( - 10^9 \u2264 a_{i} \u2264 10^9) \u2014 elements of the sequence.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single number \u2014 the number of ways to choose a subsequence of length three, such that it forms a geometric progression with a common ratio k.", "responses": { "def main():\n import sys\n from collections import defaultdict\n \n tokens = [int(i) for i in sys.stdin.read().split()]\n tokens.reverse()\n \n n, k = tokens.pop(), tokens.pop()\n \n d1 = defaultdict(int)\n d2 = defaultdict(int)\n result = 0\n for i in tokens:\n result += d2[i * k]\n d2[i] += d1[i * k]\n d1[i] += 1\n \n print(result)\n \n \nmain()": 1.0, "def main():\n import sys\n from collections import defaultdict\n \n tokens = [int(i) for i in sys.stdin.read().split()]\n tokens.reverse()\n \n n, k = tokens.pop(), tokens.pop()\n \n d1 = defaultdict(int)\n d2 = defaultdict(int)\n result = 0\n for i in tokens:\n result += d2[i] * k # Missing multiplication with k\n d2[i] += d1[i * k]\n d1[i] += 1\n \n print(result)\n \n \nmain()": 0.0, "def main():\n import sys\n from collections import defaultdict\n \n tokens = [int(i) for i in sys.stdin.read().split()]\n #tokens.reverse() # Removing the reverse operation\n tokens.reverse\n \n n, k = tokens.pop(), tokens.pop()\n \n d1 = defaultdict(int)\n d2 = defaultdict(int)\n result = 0\n for i in tokens:\n result += d2[i * k]\n d2[i] += d1[i * k]\n d1[i] += 1\n \n print(result)\n \n \nmain()": 0.0, "def main():\n import sys\n from collections import defaultdict\n \n tokens = [int(i) for i in sys.stdin.read().split()]\n tokens.reverse()\n \n n, k = tokens.pop(), tokens.pop()\n \n d1 = defaultdict(int)\n d2 = defaultdict(int)\n result = 0\n for i in range(n): # Using wrong range\n result += d2[tokens[i] * k] # Using wrong index\n d2[tokens[i]] += d1[tokens[i] * k] # Using wrong index\n d1[tokens[i]] += 1\n \n print(result)\n \n \nmain()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nPolycarp loves geometric progressions very much. Since he was only three years old, he loves only the progressions of length three. He also has a favorite integer k and a sequence a, consisting of n integers.\n\n\n\nHe wants to know how many subsequences of length three can be selected from a, so that they form a geometric progression with common ratio k.\n\n\n\nA subsequence of length three is a combination of three such indexes i_1, i_2, i_3, that 1 \u2264 i_1 < i_2 < i_3 \u2264 n. That is, a subsequence of length three are such groups of three elements that are not necessarily consecutive in the sequence, but their indexes are strictly increasing.\n\n\n\nA geometric progression with common ratio k is a sequence of numbers of the form b\u00b7k^0, b\u00b7k^1, ..., b\u00b7k^{r} - 1.\n\n\n\nPolycarp is only three years old, so he can not calculate this number himself. Help him to do it.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains two integers, n and k (1 \u2264 n, k \u2264 2\u00b710^5), showing how many numbers Polycarp's sequence has and his favorite number.\n\n\n\nThe second line contains n integers a_1, a_2, ..., a_{n} ( - 10^9 \u2264 a_{i} \u2264 10^9) \u2014 elements of the sequence.\n\n\n\n\n\n-----Output-----\n\n\n\nOutput a single number \u2014 the number of ways to choose a subsequence of length three, such that it forms a geometric progression with a common ratio k.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "In this Kata, you will be given a string of numbers in sequence and your task will be to return the missing number. If there is no number\n\nmissing or there is an error in the sequence, return `-1`.\n\n\n\nFor example:\n\n```Haskell\n\nmissing(\"123567\") = 4 \n\nmissing(\"899091939495\") = 92\n\nmissing(\"9899101102\") = 100\n\nmissing(\"599600601602\") = -1 -- no number missing\n\nmissing(\"8990919395\") = -1 -- error in sequence. Both 92 and 94 missing.\n\n```\n\nThe sequence will always be in ascending order.\n\n\n\nMore examples in the test cases. \n\n\n\nGood luck!", "responses": { "def missing(seq):\n for digits in range(1, len(seq) // 2 + 1):\n my_seq = last = seq[:digits]\n n = int(my_seq)\n missing = None\n \n while len(my_seq) < len(seq):\n n += 1\n my_seq += str(n)\n \n if not seq.startswith(my_seq):\n if missing == None:\n missing = n\n my_seq = last\n else:\n break\n else:\n last = my_seq\n \n if my_seq == seq and missing:\n return missing\n \n return -1": 1.0, "def missing(seq):\n for digits in range(1, len(seq) // 2 + 1):\n my_seq = last = seq[:digits]\n n = int(my_seq)\n missing = None\n \n while len(my_seq) < len(seq):\n n += 1\n my_seq += str(n)\n \n if not seq.startswith(my_seq):\n if missing == None:\n missing = n\n my_seq = last\n else:\n break\n else:\n last == my_seq\n \n if my_seq == seq and missing:\n return missing\n \n return -1": 0.0, "def missing(seq):\n for digits in range(1, len(seq) // 2 + 1):\n my_seq = last = seq[:digits]\n n = int(my_seq)\n missing = None\n \n while len(my_seq) < len(seq):\n n += 1\n my_seq += str(n)\n \n if not seq.startswith(my_seq):\n if missing == None:\n missing = n\n my_seq = last\n break\n else:\n last = my_seq\n \n if my_seq == seq and missing:\n return missing\n \n return -1": 0.0, "def missing(seq):\n for digits in range(1, len(seq) // 2 + 1):\n my_seq = last = seq[:digits]\n n = int(my_seq)\n missing = None\n \n while len(my_seq) < len(seq):\n n += 1\n my_seq += str(n)\n \n if not seq.startswith(my_seq):\n if missing == None:\n missing = n\n my_seq = last\n else:\n break\n else:\n last = my_seq\n \n if my_seq == seq and missing:\n return missing\n \n return -1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nIn this Kata, you will be given a string of numbers in sequence and your task will be to return the missing number. If there is no number\n\nmissing or there is an error in the sequence, return `-1`.\n\n\n\nFor example:\n\n```Haskell\n\nmissing(\"123567\") = 4 \n\nmissing(\"899091939495\") = 92\n\nmissing(\"9899101102\") = 100\n\nmissing(\"599600601602\") = -1 -- no number missing\n\nmissing(\"8990919395\") = -1 -- error in sequence. Both 92 and 94 missing.\n\n```\n\nThe sequence will always be in ascending order.\n\n\n\nMore examples in the test cases. \n\n\n\nGood luck!\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Find the number of integers between 1 and N (inclusive) that contains exactly K non-zero digits when written in base ten.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N < 10^{100}\n\n - 1 \\leq K \\leq 3\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nK\n\n\n\n-----Output-----\n\nPrint the count.\n\n\n\n-----Sample Input-----\n\n100\n\n1\n\n\n\n-----Sample Output-----\n\n19\n\n\n\nThe following 19 integers satisfy the condition:\n\n - 1,2,3,4,5,6,7,8,9,10,20,30,40,50,60,70,80,90,100", "responses": { "import sys\nsys.setrecursionlimit(10000)\nn = input()\nk = int(input())\nm = {}\ndef doit(n, k):\n if len(n) == 0:\n return k == 0\n d = int(n[0])\n if (n, k) not in m:\n ret = 0\n for i in range(d + 1):\n if i == d:\n ret += doit(n[1:], k - 1 if i > 0 else k)\n else:\n ret += doit('9' * (len(n) - 1), k - 1 if i > 0 else k)\n m[(n, k)] = ret\n return m[(n, k)]\nprint((doit(n, k)))": 1.0, "import sys\nsys.setrecursionlimit(10000)\nn = input()\nk = int(input())\nm = {}\ndef doit(n, k):\n if len(n) == 0:\n return k == 0\n d = int(n[0])\n if (n, k) not in m:\n ret = 0\n for i in range(d + 1):\n if i == d:\n ret += doit(n[1:], k - 1 if i > 0 else k)\n else:\n ret - doit('9' * (len(n) - 1), k - 1 if i > 0 else k)\n m[(n, k)] = ret\n return m[(n, k)]\nprint((doit(n, k)))": 0.0, "import sys\nsys.setrecursionlimit(10000)\nn = input()\nk = int(input())\nm = {}\ndef doit(n, k):\n if len(n) == 0:\n return k == 0\n d = int(n[0])\n if (n, k) not in m:\n ret = 0\n for i in range(d + 1):\n if i = d:\n ret += doit(n[1:], k - 1 if i > 0 else k)\n else:\n ret += doit('9' * (len(n) - 1), k - 1 if i > 0 else k)\n m[(n, k)] = ret\n return m[(n, k)]\nprint((doit(n, k)))": 0.0, "import sys\nsys.setrecursionlimit(10000)\nn = input()\nk == int(input())\nm = {}\ndef doit(n, k):\n if len(n) == 0:\n return k == 0\n d = int(n[0])\n if (n, k) not in m:\n ret = 0\n for i in range(d + 1):\n if i == d:\n ret += doit(n[1:], k - 1 if i > 0 else k)\n else:\n ret += doit('9' * (len(n) - 1), k - 1 if i > 0 else k)\n m[(n, k)] = ret\n return m[(n, k)]\nprint((doit(n, k)))": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nFind the number of integers between 1 and N (inclusive) that contains exactly K non-zero digits when written in base ten.\n\n\n\n-----Constraints-----\n\n - 1 \\leq N < 10^{100}\n\n - 1 \\leq K \\leq 3\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nN\n\nK\n\n\n\n-----Output-----\n\nPrint the count.\n\n\n\n-----Sample Input-----\n\n100\n\n1\n\n\n\n-----Sample Output-----\n\n19\n\n\n\nThe following 19 integers satisfy the condition:\n\n - 1,2,3,4,5,6,7,8,9,10,20,30,40,50,60,70,80,90,100\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a linked list, remove the n-th node from the end of list and return its head.\n\n\n\nExample:\n\n\n\n\n\nGiven linked list: 1->2->3->4->5, and n = 2.\n\n\n\nAfter removing the second node from the end, the linked list becomes 1->2->3->5.\n\n\n\n\n\nNote:\n\n\n\nGiven n will always be valid.\n\n\n\nFollow up:\n\n\n\nCould you do this in one pass?", "responses": { " # class ListNode:\n # def __init__(self, x):\n # self.val = x\n # self.next = None\n \n class Solution:\n # @return a ListNode\n def removeNthFromEnd(self, head, n):\n dummy=ListNode(0); dummy.next=head\n p1=p2=dummy\n for i in range(n): p1=p1.next\n while p1.next:\n p1=p1.next; p2=p2.next\n p2.next=p2.next.next\n return dummy.next\n \n \n ": 1.0, "class Solution:\n # @return a ListNode\n def removeNthFromEnd(self, head, n):\n dummy=ListNode(0); dummy.next=head\n p1=p2=dummy\n for i in range(n): p1=p1.next\n while p1.next:\n p1=p1.next; p2=p2.next\n p2.next=p2.next\n return dummy.next": 0.0, "class Solution:\n # @return a ListNode\n def removeNthFromEnd(self, head, n):\n dummy=ListNode(0); dummy.next=head\n p1=p2=dummy\n for i in range(n): p1=p1.next\n while p1.next:\n p1=p1.next; p2=p2.next\n p2.next=p1.next\n return dummy.next": 0.0, "class Solution:\n # @return a ListNode\n def removeNthFromEnd(self, head, n):\n dummy=ListNode(0); dummy.next=head\n p1=p2=dummy\n for i in range(n): p1=p1.next\n while p1.next:\n p1=p1.next; p2=p2.next\n p2.next=p2\n return dummy.next": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a linked list, remove the n-th node from the end of list and return its head.\n\n\n\nExample:\n\n\n\n\n\nGiven linked list: 1->2->3->4->5, and n = 2.\n\n\n\nAfter removing the second node from the end, the linked list becomes 1->2->3->5.\n\n\n\n\n\nNote:\n\n\n\nGiven n will always be valid.\n\n\n\nFollow up:\n\n\n\nCould you do this in one pass?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You are given an integer sequence of length N. The i-th term in the sequence is a_i.\n\nIn one operation, you can select a term and either increment or decrement it by one.\n\nAt least how many operations are necessary to satisfy the following conditions?\n\n - For every i (1\u2264i\u2264n), the sum of the terms from the 1-st through i-th term is not zero.\n\n - For every i (1\u2264i\u2264n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 n \u2264 10^5\n\n - |a_i| \u2264 10^9\n\n - Each a_i is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nn\n\na_1 a_2 ... a_n\n\n\n\n-----Output-----\n\nPrint the minimum necessary count of operations.\n\n\n\n-----Sample Input-----\n\n4\n\n1 -3 1 0\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nFor example, the given sequence can be transformed into 1, -2, 2, -2 by four operations. The sums of the first one, two, three and four terms are 1, -1, 1 and -1, respectively, which satisfy the conditions.", "responses": { "N = int(input())\nA = [int(_) for _ in input().split()]\ndef calc(A, y):\n result = abs(A[0] - y)\n t = y\n if t == 0:\n return 10**30\n for a in A[1:N]:\n tt = t + a\n if t * tt >= 0:\n m = -t // abs(t)\n result += abs(m - tt)\n tt = m\n t = tt\n return result\nresult = min(calc(A, A[0]), calc(A, -1), calc(A, +1))\nprint(result)": 1.0, "N = int(input())\nA = [int(_) for _ in input().split()]\ndef calc(A, y):\n result = abs(A[0] - y)\n t = y\n if t == 0:\n return 10**30\n for a in A[1:N]:\n tt = t + a\n if t * tt >= 1: ## Bug: wrong operator used here\n m = -t // abs(t)\n result += abs(m - tt)\n tt = m\n t = tt\n return result\nresult = min(calc(A, A[0]), calc(A, -1), calc(A, +1))\nprint(result)": 0.0, "N = int(input()) # Bug: forgot to add a cast to the \"input\"\nA = [int(_) for _ in input().split()]\ndef calc(A, y):\n result = abs(A[0] - y)\n t = y\n if t == 0:\n return 10**30\n for a in A[1:N]:\n tt = t + a\n if t * tt >= 0:\n m = -t // abs(t)\n result == abs(m - tt) ## Bug: used comparison operator instead of assignment operator\n tt = m\n t = tt\n return result\nresult = min(calc(A, A[0]), calc(A, -1), calc(A, +1))\nprint(result)": 0.0, "N = int(input())\nA = [int (_) for _ in input().split()] ## Bug: added extra space after \"int\"\ndef calc(A, y):\n result = abs(A[0] - y)\n t = y\n if t == 0:\n return 10**30\n for a in A[1:N]:\n tt = t + a\n if t * tt >= 0:\n m = -t // abs(t)\n result += abs(m - tt)\n tt = m\n return result ## Bug: forgot to indent this line\nresult = min(calc(A, A[0]), calc(A, -1), calc(A, +1))\nprint(result)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou are given an integer sequence of length N. The i-th term in the sequence is a_i.\n\nIn one operation, you can select a term and either increment or decrement it by one.\n\nAt least how many operations are necessary to satisfy the following conditions?\n\n - For every i (1\u2264i\u2264n), the sum of the terms from the 1-st through i-th term is not zero.\n\n - For every i (1\u2264i\u2264n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.\n\n\n\n-----Constraints-----\n\n - 2 \u2264 n \u2264 10^5\n\n - |a_i| \u2264 10^9\n\n - Each a_i is an integer.\n\n\n\n-----Input-----\n\nInput is given from Standard Input in the following format:\n\nn\n\na_1 a_2 ... a_n\n\n\n\n-----Output-----\n\nPrint the minimum necessary count of operations.\n\n\n\n-----Sample Input-----\n\n4\n\n1 -3 1 0\n\n\n\n-----Sample Output-----\n\n4\n\n\n\nFor example, the given sequence can be transformed into 1, -2, 2, -2 by four operations. The sums of the first one, two, three and four terms are 1, -1, 1 and -1, respectively, which satisfy the conditions.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a string\u00a0s\u00a0containing only lower case English letters\u00a0and the '?'\u00a0character, convert all the '?' characters into lower case letters such that the final string does not contain any consecutive repeating\u00a0characters.\u00a0You cannot modify the non '?' characters.\n\nIt is guaranteed that there are no consecutive repeating characters in the given string except for '?'.\n\nReturn the final string after all the conversions (possibly zero) have been made. If there is more than one solution, return any of them.\u00a0It can be shown that an answer is always possible with the given constraints.", "responses": { "class Solution:\n def modifyString(self, s: str) -> str:\n if len(s) == 0:\n return s\n string = ['#']\n string.extend(list(s))\n string.append('#')\n for i in range(1,len(string)-1):\n if string[i] == '?':\n for j in range(97,123):\n if string[i-1] != chr(j) and string[i+1] != chr(j):\n string[i] = chr(j)\n break\n \n ret = ''.join(string[1:-1])\n return ret": 1.0, "class Solution:\n def modifyString(self, s: str) -> str:\n if len(s) == 0:\n return s\n string = ['#']\n string.extend(list(s))\n string.append('#')\n for i in range(1,len(string)-1):\n if string[i] == '?':\n for j in range(97,123):\n if string[i-1] != chr(j) and string[i+1] != chr(j):\n string[i] = chr(j)\n break\n\n ret = ''.join(string[1:-1])\n return ret": 0.0, "class Solution:\n def modifyString(self, s: str) -> str:\n if len(s) == 0:\n return s\n string = ['#']\n string.extend(list(s))\n string.append('#')\n for i in range(1,len(string)-1):\n if string[i] == '?':\n for j in range(97,123):\n if string[i-1] != chr(j) and string[i+1] != chr(j):\n # Missing indentation\n ret = ''.join(string[1:-1])\n return ret": 0.0, "class Solution:\n def modifyString(self, s: str) -> str:\n if len(s) == 0:\n return s\n string = ['#']\n string.extend(list(s))\n string.append('#')\n for i in range(1,len(string)-1):\n if string[i] == '?':\n for j in range(97,123):\n if string[i-1] != chr(j) and string[i+1] != chr(j):\n string[i] = chr(j)\n # Missing break statement\n ret = ''.join(string[1:-1])\n return ret": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a string\u00a0s\u00a0containing only lower case English letters\u00a0and the '?'\u00a0character, convert all the '?' characters into lower case letters such that the final string does not contain any consecutive repeating\u00a0characters.\u00a0You cannot modify the non '?' characters.\n\nIt is guaranteed that there are no consecutive repeating characters in the given string except for '?'.\n\nReturn the final string after all the conversions (possibly zero) have been made. If there is more than one solution, return any of them.\u00a0It can be shown that an answer is always possible with the given constraints.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A repetition-free number is one in which each digit $\\{1,2,3,\u2026,9\\}$ appears at most once and the digit $0$ does not appear. A repetition-free number can have at most nine digits, but may also have fewer than nine digits. Some examples of repetition-free numbers are $9, 32, 489, 98761$ and $983245$.\n\nYou will be given an integer $N$ with at most nine digits. Your task is to print out the smallest repetition-free number bigger than $N$. For example, for $99$ the answer is $123$, for $881$ the answer is $891$, and for $133$ the answer is $134$.\n\n\n\n-----Input:-----\n\nA single line with a single integer with at most $9$ digits.\n\n\n\n-----Output:-----\n\nA single line containing the smallest repetition-free number bigger than the given number. If there is no repetition-free number bigger than the given number, print $0$.\n\n\n\n-----Constraints:-----\n\n- $N$ consists of atmost $9$ digits\n\n\n\n-----Sample input-----\n\n99\n\n\n\n-----Sample output-----\n\n123", "responses": { "N = int(input())\r\ni = N + 1\r\nflag = 0\r\nfor i in range(N+1, 987654321):\r\n a = str(i)\r\n b = list(a)\r\n c = set(a)\r\n if '0' not in b:\r\n if len(b) == len(c):\r\n print(i)\r\n flag += 1\r\n break\r\n \r\nif flag < 1:\r\n print(0)\r\n \r\n \r\n \r": 1.0, "N = int(input())\r\ni = N + 1\r\nflag = 0\r\nfor i in range(N+1, 987654321):\r\n a = str(i)\r\n b = list(a)\r\n c = set(a)\r\n if '0' not in b:\r\n if len(b) == len(c):\r\n print(i)\r\n flag += 1\n break\n \nif flag < 1:\n print(0)": 0.0, "N = int(input())\r\ni = N + 1\r\nflag = 0\r\nfor i in range(N+1, 987654321):\r\n a = str(i)\r\n b = list(a)\r\n c = set(a)\r\n if '0' not in b:\r\n if len(b) == len(c):\r\n print(i)\r\n flag -= 1\r\n break\r\n \r\nif flag < 1:\r\n print(0)": 0.0, "N = int(input())\r\ni = N + 1\r\nflag = 0\r\nfor i in range(N+1, 987654321):\r\n a = str(i)\r\n b = list(a)\r\n c = set(a)\r\n if '0' not in b:\r\n if len(b) == len(c):\r\n print(i)\r\n flag += 1\r\n return\r\n \r\nif flag < 1:\r\n print(0)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA repetition-free number is one in which each digit $\\{1,2,3,\u2026,9\\}$ appears at most once and the digit $0$ does not appear. A repetition-free number can have at most nine digits, but may also have fewer than nine digits. Some examples of repetition-free numbers are $9, 32, 489, 98761$ and $983245$.\n\nYou will be given an integer $N$ with at most nine digits. Your task is to print out the smallest repetition-free number bigger than $N$. For example, for $99$ the answer is $123$, for $881$ the answer is $891$, and for $133$ the answer is $134$.\n\n\n\n-----Input:-----\n\nA single line with a single integer with at most $9$ digits.\n\n\n\n-----Output:-----\n\nA single line containing the smallest repetition-free number bigger than the given number. If there is no repetition-free number bigger than the given number, print $0$.\n\n\n\n-----Constraints:-----\n\n- $N$ consists of atmost $9$ digits\n\n\n\n-----Sample input-----\n\n99\n\n\n\n-----Sample output-----\n\n123\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Every now and then people in the office moves teams or departments. Depending what people are doing with their time they can become more or less boring. Time to assess the current team.\n\n\n\n```if-not:java\n\nYou will be provided with an object(staff) containing the staff names as keys, and the department they work in as values.\n\n```\n\n\n\n```if:java\n\nYou will be provided with an array of `Person` objects with each instance containing the name and department for a staff member.\n\n~~~java\n\npublic class Person {\n\n public final String name; // name of the staff member\n\n public final String department; // department they work in\n\n}\n\n~~~\n\n```\n\n\n\nEach department has a different boredom assessment score, as follows:\n\n\n\naccounts = 1\n\nfinance = 2 \n\ncanteen = 10 \n\nregulation = 3 \n\ntrading = 6 \n\nchange = 6\n\nIS = 8\n\nretail = 5 \n\ncleaning = 4\n\npissing about = 25\n\n\n\nDepending on the cumulative score of the team, return the appropriate sentiment:\n\n\n\n<=80: 'kill me now'\n\n< 100 & > 80: 'i can handle this'\n\n100 or over: 'party time!!'\n\n\n\nThe Office I - Outed\n\nThe Office III - Broken Photocopier\n\nThe Office IV - Find a Meeting Room\n\nThe Office V - Find a Chair", "responses": { "def boredom(staff):\n lookup = {\n \"accounts\": 1,\n \"finance\": 2,\n \"canteen\": 10,\n \"regulation\": 3, \n \"trading\": 6,\n \"change\": 6,\n \"IS\": 8,\n \"retail\": 5,\n \"cleaning\": 4,\n \"pissing about\": 25\n }\n n = sum(lookup[s] for s in staff.values())\n if n <= 80:\n return \"kill me now\"\n if n < 100:\n return \"i can handle this\"\n return \"party time!!\"": 1.0, "def boredom(staff):\n lookup = {\n \"accounts\": \"1\",\n \"finance\": 2,\n \"canteen\": 10,\n \"regulation\": 3, \n \"trading\": 6,\n \"change\": 6,\n \"IS\": 8,\n \"retail\": 5,\n \"cleaning\": 4,\n \"pissing about\": 25\n }\n n = sum(lookup[s] for s in staff.values())\n if n <= 80:\n return \"kill me now\"\n if n < 100:\n return \"i can handle this\"\n return \"party time!!\"": 0.0, "def boredom(staff):\n lookup = {\n \"accounts\": 1,\n \"finance\": \"2\",\n \"canteen\": 10,\n \"regulation\": 3, \n \"trading\": 6,\n \"change\": 6,\n \"IS\": 8,\n \"retail\": 5,\n \"cleaning\": 4,\n \"pissing about\": 25\n }\n n = sum(lookup[s] for s in staff.values())\n if n <= 80:\n return \"kill me now\"\n if n < 100:\n return \"i can handle this\"\n return \"party time!!\"": 0.0, "def boredom(staff):\n lookup = {\n \"accounts\": 1,\n \"finance\": 2,\n \"canteen\": 10,\n \"regulation\": 3, \n \"trading\": \"6\",\n \"change\": 6,\n \"IS\": 8,\n \"retail\": 5,\n \"cleaning\": 4,\n \"pissing about\": 25\n }\n n = sum(lookup[s] for s in staff.values())\n if n <= 80:\n return \"kill me now\"\n if n < 100:\n return \"i can handle this\"\n return \"party time!!\"": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nEvery now and then people in the office moves teams or departments. Depending what people are doing with their time they can become more or less boring. Time to assess the current team.\n\n\n\n```if-not:java\n\nYou will be provided with an object(staff) containing the staff names as keys, and the department they work in as values.\n\n```\n\n\n\n```if:java\n\nYou will be provided with an array of `Person` objects with each instance containing the name and department for a staff member.\n\n~~~java\n\npublic class Person {\n\n public final String name; // name of the staff member\n\n public final String department; // department they work in\n\n}\n\n~~~\n\n```\n\n\n\nEach department has a different boredom assessment score, as follows:\n\n\n\naccounts = 1\n\nfinance = 2 \n\ncanteen = 10 \n\nregulation = 3 \n\ntrading = 6 \n\nchange = 6\n\nIS = 8\n\nretail = 5 \n\ncleaning = 4\n\npissing about = 25\n\n\n\nDepending on the cumulative score of the team, return the appropriate sentiment:\n\n\n\n<=80: 'kill me now'\n\n< 100 & > 80: 'i can handle this'\n\n100 or over: 'party time!!'\n\n\n\nThe Office I - Outed\n\nThe Office III - Broken Photocopier\n\nThe Office IV - Find a Meeting Room\n\nThe Office V - Find a Chair\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "There are 8 prison cells in a row, and each cell is either occupied or vacant.\n\nEach day, whether the cell is occupied or vacant changes according to the following rules:\n\n\n\nIf a cell has two adjacent neighbors that are both occupied or both vacant,\u00a0then the cell becomes occupied.\n\nOtherwise, it becomes vacant.\n\n\n\n(Note that because the prison is a row, the first and the last cells in the row can't have two adjacent neighbors.)\n\nWe describe the current state of the prison\u00a0in the following way:\u00a0cells[i] == 1 if the i-th cell is occupied, else cells[i] == 0.\n\nGiven the initial state of the prison, return the state of the prison after N days (and N such changes described above.)", "responses": { "class Solution:\n def prisonAfterNDays(self, cells: List[int], N: int) -> List[int]:\n cell = 0\n for c in cells:\n cell = (cell << 1) | c\n seendict = {}\n index = 0\n while True:\n # print([int(x) for x in '{0:08b}'.format(cell)])\n if cell in seendict:\n if (N - index) % (index - seendict[cell]) == 0:\n return [int(x) for x in '{0:08b}'.format(cell)]\n seendict[cell] = index\n not_cell = (cell ^ 255) \n cell = ((cell << 1) & (cell >> 1)) | ((not_cell << 1) & (not_cell >> 1))\n index += 1": 1.0, "class Solution:\n def prisonAfterNDays(self, cells: List[int], N: int) -> List[int]:\n cell = 0\n for c in cells\n cell = (cell << 1) | c\n seendict = {}\n index = 0\n while True:\n # print([int(x) for x in '{0:08b}'.format(cell)])\n if cell in seendict:\n if (N - index) % (index - seendict[cell]) == 0:\n return [int(x) for x in '{0:08b}'.format(cell)]\n seendict[cell] = index\n not_cell = (cell ^ 255) \n cell = ((cell << 1) & (cell >> 1)) | ((not_cell << 1) & (not_cell >> 1))\n index += 1": 0.0, "class Solution:\n def prisonAfterNDays(self, cells: List[int], N: int) -> List[int]:\n cell = 0\n for c in cells:\n cell = (cell << 1) | c\n seendict = {}\n index = 0\n while True:\n # print([int(x) for x in '{0:08b}'.format(cell)])\n if cell in seendict\n if (N - index) % (index - seendict[cell]) == 0:\n return [int(x) for x in '{0:08b}'.format(cell)]\n seendict[cell] = index\n not_cell = (cell ^ 255) \n cell = ((cell << 1) & (cell >> 1)) | ((not_cell << 1) & (not_cell >> 1))\n index += 1": 0.0, "class Solution:\n def prisonAfterNDays(self, cells: List[int], N: int) -> List[int]:\n cell = 0\n for c in cells:\n cell = (cell << 1) | c\n seendict = {}\n index = 0\n while True:\n #print([int(x) for x in '{0:08b}'.format(cell)])\n if cell in seendict:\n if (N - index) % (index - seendict[cell] == 0):\n return [int(x) for x in '{0:08b}'.format(cell)]\n seendict[cell] = index\n not_cell = (cell ^ 255) \n cell = ((cell << 1) & (cell >> 1)) | ((not_cell << 1) & (not_cell >> 1))\n index += 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThere are 8 prison cells in a row, and each cell is either occupied or vacant.\n\nEach day, whether the cell is occupied or vacant changes according to the following rules:\n\n\n\nIf a cell has two adjacent neighbors that are both occupied or both vacant,\u00a0then the cell becomes occupied.\n\nOtherwise, it becomes vacant.\n\n\n\n(Note that because the prison is a row, the first and the last cells in the row can't have two adjacent neighbors.)\n\nWe describe the current state of the prison\u00a0in the following way:\u00a0cells[i] == 1 if the i-th cell is occupied, else cells[i] == 0.\n\nGiven the initial state of the prison, return the state of the prison after N days (and N such changes described above.)\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "The next lecture in a high school requires two topics to be discussed. The $i$-th topic is interesting by $a_i$ units for the teacher and by $b_i$ units for the students.\n\n\n\nThe pair of topics $i$ and $j$ ($i < j$) is called good if $a_i + a_j > b_i + b_j$ (i.e. it is more interesting for the teacher).\n\n\n\nYour task is to find the number of good pairs of topics.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of topics.\n\n\n\nThe second line of the input contains $n$ integers $a_1, a_2, \\dots, a_n$ ($1 \\le a_i \\le 10^9$), where $a_i$ is the interestingness of the $i$-th topic for the teacher.\n\n\n\nThe third line of the input contains $n$ integers $b_1, b_2, \\dots, b_n$ ($1 \\le b_i \\le 10^9$), where $b_i$ is the interestingness of the $i$-th topic for the students.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the number of good pairs of topic.", "responses": { "def main():\n import sys\n from bisect import bisect_left\n input = sys.stdin.readline\n N = int(input())\n A = list(map(int, input().split()))\n B = list(map(int, input().split()))\n C = [a-b for a, b in zip(A, B)]\n C.sort()\n ans = 0\n for i, c in enumerate(C):\n j = bisect_left(C, -c+1)\n ans += N-j\n if c > 0:\n ans -= 1\n print(ans // 2)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n import sys\n from bisect import bisect_left\n input = sys.stdin.readline()\n N = int(input())\n A = list(map(int, input().split()))\n B = list(map(int, input().split()))\n C = [a-b for a, b in zip(A, B)]\n C.sort()\n ans = 0\n for i, c in enumerate(C):\n j = bisect_left(C, -c+1)\n ans += N-j\n if c > 0:\n ans -= 1\n print(ans // 2)": 0.0, "def main():\n import sys\n from bisect import bisect_left\n input = sys.stdin.readline\n N = int(input())\n A = list(map(int, input().split()))\n B = list(map(int, input().split()))\n C = [a-b for a, b in zip(A, B)]\n C.sort()\n ans = 0\n for i, c in enumerate(C):\n j = bisect_left(C, -c+1)\n ans += N-j\n if c > 0:\n ans -= 1\n print(ans": 0.0, "def main():\n import sys\n from bisect import bisect_left\n input = sys.stdin.readline\n N = int(input()\n A = list(map(int, input().split()))\n B = list(map(int, input().split()))\n C = [a-b for a, b in zip(A, B)]\n C.sort()\n ans = 0\n for i, c in enumerate(C):\n j = bisect_left(C, -c+1)\n ans += N-j\n if c > 0:\n ans -= 1\n print(ans // 2)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nThe next lecture in a high school requires two topics to be discussed. The $i$-th topic is interesting by $a_i$ units for the teacher and by $b_i$ units for the students.\n\n\n\nThe pair of topics $i$ and $j$ ($i < j$) is called good if $a_i + a_j > b_i + b_j$ (i.e. it is more interesting for the teacher).\n\n\n\nYour task is to find the number of good pairs of topics.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line of the input contains one integer $n$ ($2 \\le n \\le 2 \\cdot 10^5$) \u2014 the number of topics.\n\n\n\nThe second line of the input contains $n$ integers $a_1, a_2, \\dots, a_n$ ($1 \\le a_i \\le 10^9$), where $a_i$ is the interestingness of the $i$-th topic for the teacher.\n\n\n\nThe third line of the input contains $n$ integers $b_1, b_2, \\dots, b_n$ ($1 \\le b_i \\le 10^9$), where $b_i$ is the interestingness of the $i$-th topic for the students.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint one integer \u2014 the number of good pairs of topic.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You have m = n\u00b7k wooden staves. The i-th stave has length a_{i}. You have to assemble n barrels consisting of k staves each, you can use any k staves to construct a barrel. Each stave must belong to exactly one barrel.\n\n\n\nLet volume v_{j} of barrel j be equal to the length of the minimal stave in it. [Image] \n\n\n\nYou want to assemble exactly n barrels with the maximal total sum of volumes. But you have to make them equal enough, so a difference between volumes of any pair of the resulting barrels must not exceed l, i.e. |v_{x} - v_{y}| \u2264 l for any 1 \u2264 x \u2264 n and 1 \u2264 y \u2264 n.\n\n\n\nPrint maximal total sum of volumes of equal enough barrels or 0 if it's impossible to satisfy the condition above.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three space-separated integers n, k and l (1 \u2264 n, k \u2264 10^5, 1 \u2264 n\u00b7k \u2264 10^5, 0 \u2264 l \u2264 10^9).\n\n\n\nThe second line contains m = n\u00b7k space-separated integers a_1, a_2, ..., a_{m} (1 \u2264 a_{i} \u2264 10^9) \u2014 lengths of staves.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint single integer \u2014 maximal total sum of the volumes of barrels or 0 if it's impossible to construct exactly n barrels satisfying the condition |v_{x} - v_{y}| \u2264 l for any 1 \u2264 x \u2264 n and 1 \u2264 y \u2264 n.", "responses": { "def ii():\n return int(input())\ndef mi():\n return list(map(int, input().split()))\ndef li():\n return list(mi())\nN, K, L = mi()\nA = li()\nA.sort()\nend = 1\nwhile end < N * K and A[end] <= A[0] + L:\n end += 1\nB = A[:end]\nif len(B) < N:\n ans = 0\nelse:\n cur = ans = 0\n for i in range(N):\n ans += B[cur]\n cur = min(cur + K, len(B) - (N - i - 1))\nprint(ans)": 1.0, "```python\ndef ii()\n return int(input())\ndef mi():\n return list(map(int, input().split()))\ndef li():\n return list(mi())\nN, K, L = mi()\nA = li()\nA.sort()\nend = 1\nwhile end < N * K and A[end] <= A[0] + L:\n end += 1\nB = A[:end]\nif len(B) < N:\n ans = 0\nelse:\n cur = ans = 0\n for i in range(N):\n ans += B[cur]\n cur = min(cur + K, len(B) - (N - i - 1))\nprint(ans)\n```": 0.0, "```python\ndef ii():\n return int(input())\ndef mi():\n return list(map(int, input().split()))\ndef li():\n return list(mi())\nN, K, L mi()\nA = li()\nA.sort()\nend = 1\nwhile end < N * K and A[end] <= A[0] + L:\n end += 1\nB = A[:end]\nif len(B) < N:\n ans = 0\nelse:\n cur = ans = 0\n for i in range(N):\n ans += B[cur]\n cur = min(cur + K, len(B) - (N - i - 1))\nprint(ans)\n```": 0.0, "```python\ndef ii():\n return int(input())\ndef mi():\n retut list(map(int, input().split()))\ndef li():\n return list(mi())\nN, K, L = mi()\nA = li()\nA.sort()\nend = 1\nwhile end < N * K and A[end] <= A[0] + L:\n end += 1\nB = A[:end]\nif len(B) < N:\n ans = 0\nelse:\n cur = ans = 0\n for i in range(N):\n ans += B[cur]\n cur = min(cur + K, len(B) - (N - i - 1))\nprint(ans)\n```": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou have m = n\u00b7k wooden staves. The i-th stave has length a_{i}. You have to assemble n barrels consisting of k staves each, you can use any k staves to construct a barrel. Each stave must belong to exactly one barrel.\n\n\n\nLet volume v_{j} of barrel j be equal to the length of the minimal stave in it. [Image] \n\n\n\nYou want to assemble exactly n barrels with the maximal total sum of volumes. But you have to make them equal enough, so a difference between volumes of any pair of the resulting barrels must not exceed l, i.e. |v_{x} - v_{y}| \u2264 l for any 1 \u2264 x \u2264 n and 1 \u2264 y \u2264 n.\n\n\n\nPrint maximal total sum of volumes of equal enough barrels or 0 if it's impossible to satisfy the condition above.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains three space-separated integers n, k and l (1 \u2264 n, k \u2264 10^5, 1 \u2264 n\u00b7k \u2264 10^5, 0 \u2264 l \u2264 10^9).\n\n\n\nThe second line contains m = n\u00b7k space-separated integers a_1, a_2, ..., a_{m} (1 \u2264 a_{i} \u2264 10^9) \u2014 lengths of staves.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint single integer \u2014 maximal total sum of the volumes of barrels or 0 if it's impossible to construct exactly n barrels satisfying the condition |v_{x} - v_{y}| \u2264 l for any 1 \u2264 x \u2264 n and 1 \u2264 y \u2264 n.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "On an infinite plane, a\u00a0robot initially stands at (0, 0) and faces north.\u00a0\u00a0The robot can receive one of three instructions:\n\n\n\n\"G\": go straight 1 unit;\n\n\"L\": turn 90 degrees to the left;\n\n\"R\": turn 90 degress to the right.\n\n\n\nThe robot performs the instructions given in order, and repeats them forever.\n\nReturn true if and only if there exists a circle in the plane such that the robot never leaves the circle.", "responses": { "class Solution:\n def move(self, pos, direction):\n x, y = pos\n if direction == 0:\n y += 1\n elif direction == 1:\n x += 1\n elif direction == 2:\n y -= 1\n elif direction == 3:\n x -= 1\n return (x, y)\n \n def isRobotBounded(self, instructions: str) -> bool:\n direction = 0 # 0 for north, 1 for east, 2 for south, 3 for west\n pos = (0, 0)\n for i in instructions:\n if i == 'G':\n pos = self.move(pos, direction)\n elif i == 'L':\n direction = (direction - 1) % 4\n elif i == 'R':\n direction = (direction + 1) % 4\n if pos == (0, 0) or direction != 0:\n return True\n else:\n return False": 1.0, "class Solution:\n def move(self, pos, direction):\n x, y = pos\n if direction == 0:\n y += 1\n elif direction == 1:\n x += 1\n elif direction == 2:\n y -= 1\n elif direction == 3:\n x -= 1\n return (y, x)\n \n def isRobotBounded(self, instructions: str) -> bool:\n direction = 0 # 0 for north, 1 for east, 2 for south, 3 for west\n pos = (0, 0)\n for i in instructions:\n if i == 'G':\n pos = self.move(pos, direction)\n elif i == 'L':\n direction = (direction - 1) % 4\n elif i == 'R':\n direction = (direction + 1) % 4\n if pos == (0, 0) or direction != 0:\n return True\n else:\n return False": 0.0, "class Solution:\n def move(self, pos, direction):\n x, y = pos\n if direction == 0:\n y += 1\n elif direction == 1:\n x += 1\n elif direction == 2:\n y -= 1\n elif direction == 3:\n x -= 1\n return (y, y)\n \n def isRobotBounded(self, instructions: str) -> bool:\n direction = 0 # 0 for north, 1 for east, 2 for south, 3 for west\n pos = (0, 0)\n for i in instructions:\n if i == 'G':\n pos = self.move(pos, direction)\n elif i == 'L':\n direction = (direction - 1) % 4\n elif i == 'R':\n direction = (direction + 1) % 4\n if pos == (0, 0) or direction != 0:\n return True\n else:\n return False": 0.0, "class Solution:\n def move(self, pos, direction):\n x, y = pos\n if direction == 0:\n y += 1\n elif direction == 1:\n x += 1\n elif direction == 2:\n y -= 1\n elif direction == 3:\n x -= 1\n return (x, x)\n \n def isRobotBounded(self, instructions: str) -> bool:\n direction = 0 # 0 for north, 1 for east, 2 for south, 3 for west\n pos = (0, 0)\n for i in instructions:\n if i == 'G':\n pos = self.move(pos, direction)\n elif i == 'L':\n direction = (direction - 1) % 4\n elif i == 'R':\n direction = (direction + 1) % 4\n if pos == (0, 0) or direction != 0:\n return True\n else:\n return False": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nOn an infinite plane, a\u00a0robot initially stands at (0, 0) and faces north.\u00a0\u00a0The robot can receive one of three instructions:\n\n\n\n\"G\": go straight 1 unit;\n\n\"L\": turn 90 degrees to the left;\n\n\"R\": turn 90 degress to the right.\n\n\n\nThe robot performs the instructions given in order, and repeats them forever.\n\nReturn true if and only if there exists a circle in the plane such that the robot never leaves the circle.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "A palindrome is a word, phrase, number, or other sequence of characters which reads the same backward as forward. Examples of numerical palindromes are: \n\n\n\n2332\n\n110011\n\n54322345\n\n\n\nFor a given number ```num```, return its closest numerical palindrome which can either be smaller or larger than ```num```. If there are 2 possible values, the larger value should be returned. If ```num``` is a numerical palindrome itself, return it. \n\n\n\nFor this kata, single digit numbers will NOT be considered numerical palindromes. \n\n\n\nAlso, you know the drill - be sure to return \"Not valid\" if the input is not an integer or is less than 0.\n\n\n\n```\n\npalindrome(8) => 11\n\npalindrome(281) => 282 \n\npalindrome(1029) => 1001\n\npalindrome(1221) => 1221\n\npalindrome(\"1221\") => \"Not valid\"\n\n\n\n```\n\n\n\n```Haskell\n\nIn Haskell the function should return a Maybe Int with Nothing for cases where the argument is less than zero.\n\n```\n\nOther Kata in this Series:\n\nNumerical Palindrome #1\n\nNumerical Palindrome #1.5\n\nNumerical Palindrome #2\n\nNumerical Palindrome #3\n\nNumerical Palindrome #3.5\n\nNumerical Palindrome #4\n\nNumerical Palindrome #5", "responses": { "def palindrome(num):\n if type(num) is not int or num < 0:\n return \"Not valid\"\n else:\n c =0\n for i in range(num,num**2):\n if is_pal(i):\n return i\n elif is_pal(i-c):\n return i-c\n else:\n c +=2\n \ndef is_pal(n):\n return n > 10 and n == int(str(n)[::-1])": 1.0, "def palindrome(num):\n if type(num) is not int or num < 0:\n return \"Not valid\"\n else:\n c =0\n for i in range(num,num**2):\n if is_pal(i):\n return i\n elif is_pal(i-c):\n return i-c\n else:\n c +=2\n \ndef is_pal(n):\n return n > 10 and n == int(str(m)[::-1])": 0.0, "def palindrome(num):\n if type(num) is not int or num < 0:\n return \"Not valid\"\n else:\n c =0\n for i in range(num,num**2):\n if is_pal(i):\n return i\n elif is_pal(i-c):\n return i-c\n else:\n c +=2\n \ndef is_pal(n):\n return n > 10 and n == int(str(n)[:])": 0.0, "def palindrome(num):\n if type(num) is not int or num < 0:\n return \"Not valid\"\n else:\n c =0\n for i in range(num,num**2):\n if is_pal(i):\n return i\n elif is_pal(i-c):\n return i-c\n else:\n c +=\n \ndef is_pal(n):\n return n > 10 and n == int(str(n)[::-1])": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nA palindrome is a word, phrase, number, or other sequence of characters which reads the same backward as forward. Examples of numerical palindromes are: \n\n\n\n2332\n\n110011\n\n54322345\n\n\n\nFor a given number ```num```, return its closest numerical palindrome which can either be smaller or larger than ```num```. If there are 2 possible values, the larger value should be returned. If ```num``` is a numerical palindrome itself, return it. \n\n\n\nFor this kata, single digit numbers will NOT be considered numerical palindromes. \n\n\n\nAlso, you know the drill - be sure to return \"Not valid\" if the input is not an integer or is less than 0.\n\n\n\n```\n\npalindrome(8) => 11\n\npalindrome(281) => 282 \n\npalindrome(1029) => 1001\n\npalindrome(1221) => 1221\n\npalindrome(\"1221\") => \"Not valid\"\n\n\n\n```\n\n\n\n```Haskell\n\nIn Haskell the function should return a Maybe Int with Nothing for cases where the argument is less than zero.\n\n```\n\nOther Kata in this Series:\n\nNumerical Palindrome #1\n\nNumerical Palindrome #1.5\n\nNumerical Palindrome #2\n\nNumerical Palindrome #3\n\nNumerical Palindrome #3.5\n\nNumerical Palindrome #4\n\nNumerical Palindrome #5\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Sereja loves integer sequences very much. He especially likes stairs.\n\n\n\nSequence a_1, a_2, ..., a_{|}a| (|a| is the length of the sequence) is stairs if there is such index i (1 \u2264 i \u2264 |a|), that the following condition is met: a_1 < a_2 < ... < a_{i} - 1 < a_{i} > a_{i} + 1 > ... > a_{|}a| - 1 > a_{|}a|.\n\n\n\nFor example, sequences [1, 2, 3, 2] and [4, 2] are stairs and sequence [3, 1, 2] isn't.\n\n\n\nSereja has m cards with numbers. He wants to put some cards on the table in a row to get a stair sequence. What maximum number of cards can he put on the table?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer m (1 \u2264 m \u2264 10^5) \u2014 the number of Sereja's cards. The second line contains m integers b_{i} (1 \u2264 b_{i} \u2264 5000) \u2014 the numbers on the Sereja's cards.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print the number of cards you can put on the table. In the second line print the resulting stairs.", "responses": { "n=int(input())\na=list(map(int,input().split()))\ncount=[0]*(10**5+1)\nfor i in a:\n count[i]+=1\nans=[]\nfor i in range(10**5+1):\n if count[i]:\n ans.append(i)\n count[i]-=1\nif len(ans)!=n:\n for i in reversed(range(10**5+1)):\n if count[i] and ans[-1]!=i:\n ans.append(i)\nprint(len(ans))\nprint(*ans)": 1.0, "n=int(input())\na=list(map(int,input().split()))\ncount=[-1]*(10**5+1) # Introducing a bug by initializing count with -1 instead of 0\nfor i in a:\n count[i]+=1\nans=[]\nfor i in range(10**5+1):\n if count[i]:\n ans.append(i)\n count[i]-=1\nif len(ans)!=n:\n for i in reversed(range(10**5+1)):\n if count[i] and ans[-1]!=i:\n ans.append(i)\nprint(len(ans))\nprint(*ans)": 0.0, "n=int(input())\na=list(map(int,input().split()))\ncount=[0]*(10**5+1)\nfor i in a:\n count[i]+=1\nans=[]\nfor i in range(10**5+1):\n if count[i]:\n ans.append(i)\n count[i]+=1 # Introducing a bug by incrementing count instead of decrementing\nif len(ans)!=n:\n for i in reversed(range(10**5+1)):\n if count[i] and ans[-1]!=i:\n ans.append(i)\nprint(len(ans))\nprint(*ans)": 0.0, "n=int(input())\na=list(map(int,input().split()))\ncount=[0]*(10**5+1)\nfor i in a:\n count[i]+=1\nans=[]\nfor i in range(10**5+1):\n if count[i]:\n ans.append(i)\n count[i]-=1\nif len(ans)!=n:\n for i in reversed(range(10**5)): # Introducing a bug by decreasing the range by 1\n if count[i] and ans[-1]!=i:\n ans.append(i)\nprint(len(ans))\nprint(*ans)": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nSereja loves integer sequences very much. He especially likes stairs.\n\n\n\nSequence a_1, a_2, ..., a_{|}a| (|a| is the length of the sequence) is stairs if there is such index i (1 \u2264 i \u2264 |a|), that the following condition is met: a_1 < a_2 < ... < a_{i} - 1 < a_{i} > a_{i} + 1 > ... > a_{|}a| - 1 > a_{|}a|.\n\n\n\nFor example, sequences [1, 2, 3, 2] and [4, 2] are stairs and sequence [3, 1, 2] isn't.\n\n\n\nSereja has m cards with numbers. He wants to put some cards on the table in a row to get a stair sequence. What maximum number of cards can he put on the table?\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains integer m (1 \u2264 m \u2264 10^5) \u2014 the number of Sereja's cards. The second line contains m integers b_{i} (1 \u2264 b_{i} \u2264 5000) \u2014 the numbers on the Sereja's cards.\n\n\n\n\n\n-----Output-----\n\n\n\nIn the first line print the number of cards you can put on the table. In the second line print the resulting stairs.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given a binary tree, we install cameras on the nodes of the tree.\u00a0\n\nEach camera at\u00a0a node can monitor its parent, itself, and its immediate children.\n\nCalculate the minimum number of cameras needed to monitor all nodes of the tree.", "responses": { "class Solution:\n def minCameraCover(self, root: TreeNode) -> int:\n \n def dfs(node):\n if not node:\n return 2\n left = dfs(node.left)\n right = dfs(node.right)\n \n if left == 0 or right == 0:\n self.res += 1\n return 1\n if left == 1 or right == 1:\n return 2\n else:\n return 0\n \n self.res = 0\n return (dfs(root) == 0) + self.res": 1.0, "class Solution:\n def minCameraCover(self, root: TreeNode) -> int:\n \n def dfs(node):\n if not node:\n return 2\n left = dfs(node.left)\n right = dfs(node.right)\n \n if left == 0 or right == 0:\n self.res += 1\n return 1\n if left == 1 or right == 1:\n return 2\n else\n return 0\n \n self.res = 0\n return (dfs(root) == 0) + self.res": 0.0, "class Solution:\n def minCameraCover(self, root: TreeNode) -> int:\n \n def dfs(node):\n if not node:\n return 2\n left = dfs(node.left)\n right = dfs(node.right)\n \n if left == 0 or right == 0\n self.res += 1\n return 1\n if left == 1 or right == 1:\n return 2\n else:\n return 0\n \n self.res = 0\n return (dfs(root) == 0) + self.res": 0.0, "class Solution:\n def minCameraCover(self, root: TreeNode) -> int:\n \n def dfs(node):\n if not node:\n return 2\n left = dfs(node.left)\n right = dfs(node.right)\n \n if left == 0 or right == 0:\n self.res += 1\n return 1\n if left == 1 || right == 1:\n return 2\n else:\n return 0\n \n self.res = 0\n return (dfs(root) == 0) + self.res": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven a binary tree, we install cameras on the nodes of the tree.\u00a0\n\nEach camera at\u00a0a node can monitor its parent, itself, and its immediate children.\n\nCalculate the minimum number of cameras needed to monitor all nodes of the tree.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Bizon the Champion isn't just charming, he also is very smart.\n\n\n\nWhile some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n \u00d7 m multiplication table, where the element on the intersection of the i-th row and j-th column equals i\u00b7j (the rows and columns of the table are numbered starting from 1). Then he was asked: what number in the table is the k-th largest number? Bizon the Champion always answered correctly and immediately. Can you repeat his success?\n\n\n\nConsider the given multiplication table. If you write out all n\u00b7m numbers from the table in the non-decreasing order, then the k-th number you write out is called the k-th largest number.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integers n, m and k (1 \u2264 n, m \u2264 5\u00b710^5;\u00a01 \u2264 k \u2264 n\u00b7m).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the k-th largest number in a n \u00d7 m multiplication table.", "responses": { "def main():\n from math import sqrt\n m, n, k = list(map(int, input().split()))\n if n < m:\n n, m = m, n\n lo, hi = 1, k + 1\n while lo + 1 < hi:\n mid = (lo + hi) // 2\n t = mid - 1\n v = min(int(sqrt(t)), m)\n tn, tm = (t - 1) // m, t // n\n vv = [t // i for i in range(tm + 1, v + 1)]\n if t // n * (n + m) + sum(vv) * 2 + max(min((tn - tm), len(vv)) * m, 0) - v * v - sum(\n vv[:max(min(tn - tm, len(vv)), 0)]) < k:\n lo = mid\n else:\n hi = mid\n print(lo)\ndef __starting_point():\n main()\n__starting_point()": 1.0, "def main():\n from math import sqrt\n\n # Missing variable assignments for m, n, k\n m = n = k = list(map(int, input().split()))\n if n < m:\n n, m = m, n\n lo, hi = 1, k + 1\n while lo + 1 < hi:\n mid = (lo + hi) // 2\n t = mid - 1\n v = min(int(sqrt(t)), m)\n tn, tm = (t - 1) // m, t // n\n vv = [t // i for i in range(tm + 1, v + 1)]\n if t // n * (n + m) + sum(vv) * 2 + max(min((tn - tm), len(vv)) * m, 0) - v * v - sum(\n vv[:max(min(tn - tm, len(vv)), 0)]) < k:\n lo = mid\n else:\n hi = mid\n print(lo)\n\ndef __starting_point():\n main()\n\n__starting_point()": 0.0, "def main():\n import math\n\n m, n, k = list(map(int, input().split()))\n if n < m:\n n, m = m, n\n lo, hi = 1, k + 1\n while lo + 1 < hi:\n mid = (lo + hi) // 2\n t = mid - 1\n\n # Incorrect math.sqrt method call\n v = math.sqrt(t)\n tn, tm = (t - 1) // m, t // n\n vv = [t // i for i in range(tm + 1, v + 1)]\n if t // n * (n + m) + sum(vv) * 2 + max(min((tn - tm), len(vv)) * m, 0) - v * v - sum(\n vv[:max(min(tn - tm, len(vv)), 0)]) < k:\n lo = mid\n else:\n hi = mid\n print(lo)\n\ndef __starting_point():\n main()\n\n__starting_point()": 0.0, "def main():\n from math import sqrt\n\n m, n, k = list(map(int, input().split()))\n if n < m:\n n, m = m, n\n lo, hi = 1, k + 1\n while lo + 1 < hi:\n mid = (lo + hi) // 2\n t = mid - 1\n v = min(int(sqrt(t)), m)\n tn, tm = (t - 1) // m, t // n\n\n # Division by zero\n vv = [t // i for i in range(tm + 1, v)]\n if t // n * (n + m) + sum(vv) * 2 + max(min((tn - tm), len(vv)) * m, 0) - v * v - sum(\n vv[:max(min(tn - tm, len(vv)), 0)]) < k:\n lo = mid\n else:\n hi = mid\n print(lo)\n\ndef __starting_point():\n main()\n\n__starting_point()": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nBizon the Champion isn't just charming, he also is very smart.\n\n\n\nWhile some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n \u00d7 m multiplication table, where the element on the intersection of the i-th row and j-th column equals i\u00b7j (the rows and columns of the table are numbered starting from 1). Then he was asked: what number in the table is the k-th largest number? Bizon the Champion always answered correctly and immediately. Can you repeat his success?\n\n\n\nConsider the given multiplication table. If you write out all n\u00b7m numbers from the table in the non-decreasing order, then the k-th number you write out is called the k-th largest number.\n\n\n\n\n\n-----Input-----\n\n\n\nThe single line contains integers n, m and k (1 \u2264 n, m \u2264 5\u00b710^5;\u00a01 \u2264 k \u2264 n\u00b7m).\n\n\n\n\n\n-----Output-----\n\n\n\nPrint the k-th largest number in a n \u00d7 m multiplication table.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Like all minions Dave also like to eat bananas. So as to his obsession, he is eating banana, but this time in different way. There are N bananas in dish. Dave wants to eat all of them. He starts eating at speed 1 banana/second. He can increase or decrease speed of eating by one only. The condition is that he must end eating at speed 1 banana/second. So, your task is to find minimum time required to finish all bananas in a dish.\n\n\n\n-----Input-----\n\nFirst line contain number of test cases T. Next T lines contain one integer N. Where N is number of bananas in a dish.\n\n\n\n-----Output-----\n\nFor each test case print minimum time require to eat all N bananas.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100\n\n- 1 \u2264 N \u2264 105\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n2\n\n4\n\n\n\nOutput:\n\n2\n\n3\n\n\n\n\n\n-----Explanation-----\n\nExample case 1.Dave will start to eat with rate of 1 banana/second. Then only one banana will remain. He will eat that banana in 1 second. Thus, Total time is 2 seconds.\n\nExample case 2.Dave starts with rate of 1 banana/second, and then increase it to 2 bananas/second and again decrease it to 1 banana/second. So total time is 3 seconds.", "responses": { "t=int(input())\nwhile(t):\n k=1\n j=0\n n=int(input())\n while(n>0):\n if(n<=k):\n j+=1\n n=0\n elif n>2*k:\n j+=2\n n=n-2*k\n k+=1\n else:\n j+=2\n n=0\n print(j)\n t-=1": 1.0, "t=int(input())\nwhile(t):\n k=1\n j=0\n n=int(input())\n while(n>0):\n if(n<=k):\n j+=1\n n=0\n elif n>2*k:\n j+=2\n n=n-2*k\n k+=1\n else:\n j+=2\n n=0\n print(j) # Bug: indentation of print statement is incorrect\n t-=1": 0.0, "t=int(input())\nwhile(t):\n k=1\n j=0\n n=int(input())\n while(n>0):\n if(n<=k):\n j+=1\n n=0\n elif n>2*k:\n j+=2\n n=n-2*k\n k+=1\n else:\n j+=2\n n=0\n print j # Bug: missing parentheses in print statement\n t-=1": 0.0, "t=int(input())\nwhile(t):\n k=1\n j=0\n n=int(input())\n while(n>0):\n if(n<=k):\n j+=1\n n=0\n elif n>2*k:\n j+=2\n n=n-2*k\n k+=1\n else:\n j+=2\n n=0 # Bug: missing indentation for n=0 assignment\n print(j)\n t-=1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nLike all minions Dave also like to eat bananas. So as to his obsession, he is eating banana, but this time in different way. There are N bananas in dish. Dave wants to eat all of them. He starts eating at speed 1 banana/second. He can increase or decrease speed of eating by one only. The condition is that he must end eating at speed 1 banana/second. So, your task is to find minimum time required to finish all bananas in a dish.\n\n\n\n-----Input-----\n\nFirst line contain number of test cases T. Next T lines contain one integer N. Where N is number of bananas in a dish.\n\n\n\n-----Output-----\n\nFor each test case print minimum time require to eat all N bananas.\n\n\n\n-----Constraints-----\n\n- 1 \u2264 T \u2264 100\n\n- 1 \u2264 N \u2264 105\n\n\n\n-----Example-----\n\nInput:\n\n2\n\n2\n\n4\n\n\n\nOutput:\n\n2\n\n3\n\n\n\n\n\n-----Explanation-----\n\nExample case 1.Dave will start to eat with rate of 1 banana/second. Then only one banana will remain. He will eat that banana in 1 second. Thus, Total time is 2 seconds.\n\nExample case 2.Dave starts with rate of 1 banana/second, and then increase it to 2 bananas/second and again decrease it to 1 banana/second. So total time is 3 seconds.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given many words, words[i] has weight i.\n\n\n\nDesign a class WordFilter that supports one function, WordFilter.f(String prefix, String suffix).\n\nIt will return the word with given prefix and suffix with maximum weight. If no word exists, return -1.\n\n\n\n\n\nExamples:\n\n\n\nInput:\n\nWordFilter([\"apple\"])\n\nWordFilter.f(\"a\", \"e\") // returns 0\n\nWordFilter.f(\"b\", \"\") // returns -1\n\n\n\n\n\nNote:\n\n\n\nwords has length in range [1, 15000].\n\nFor each test case, up to words.length queries WordFilter.f may be made.\n\nwords[i] has length in range [1, 10].\n\nprefix, suffix have lengths in range [0, 10].\n\nwords[i] and prefix, suffix queries consist of lowercase letters only.", "responses": { "class Solution:\n def nextGreatestLetter(self, letters, target):\n \"\"\"\n :type letters: List[str]\n :type target: str\n :rtype: str\n \"\"\"\n \n if ord(letters[-1]) <= ord(target):\n return letters[0]\n \n li = 0\n ri = len(letters) - 1\n \n while li <= ri:\n if li == ri:\n return letters[li]\n \n mi = li + (ri - li)//2\n \n if ord(letters[mi]) > ord(target):\n ri = mi\n else:\n li = mi + 1": 1.0, "class Solution:\n def nextGreatestLetter(self, letters, target):\n \"\"\"\n :type letters: List[str]\n :type target: str\n :rtype: str\n \"\"\"\n \n if ord(letters[-1]) <= ord(target):\n return letters[0]\n \n li = 0\n ri = len(letters) - 1\n \n while li <= ri:\n if li == ri:\n return letters[li]\n \n mi = li + (ri - li)//2\n \n if ord(letters[mi]) > ord(target):\n ri = mi\n else:\n li = mi": 0.0, "class Solution:\n def nextGreatestLetter(self, letters, target):\n \"\"\"\n :type letters: List[str]\n :type target: str\n :rtype: str\n \"\"\"\n \n if ord(letters[-1]) <= ord(target):\n return letters[0]\n \n li = 0\n ri = len(letters) - 1\n \n while li <= ri:\n if li == ri:\n return letters\n \n mi = li + (ri - li)//2\n \n if ord(letters[mi]) > ord(target):\n ri = mi\n else:\n li = mi + 1": 0.0, "class Solution:\n def nextGreatestLetter(self, letters, target):\n \"\"\"\n :type letters: List[str]\n :type target: str\n :rtype: str\n \"\"\"\n \n if ord(letters[-1]) <= ord(target):\n return letters[0]\n \n li = 0\n ri = len(letters) \n \n while li <= ri:\n if li == ri:\n return letters[li]\n \n mi = li + (ri - li)//2\n \n if ord(letters[mi]) > ord(target):\n ri = mi\n else:\n li = mi + 1": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven many words, words[i] has weight i.\n\n\n\nDesign a class WordFilter that supports one function, WordFilter.f(String prefix, String suffix).\n\nIt will return the word with given prefix and suffix with maximum weight. If no word exists, return -1.\n\n\n\n\n\nExamples:\n\n\n\nInput:\n\nWordFilter([\"apple\"])\n\nWordFilter.f(\"a\", \"e\") // returns 0\n\nWordFilter.f(\"b\", \"\") // returns -1\n\n\n\n\n\nNote:\n\n\n\nwords has length in range [1, 15000].\n\nFor each test case, up to words.length queries WordFilter.f may be made.\n\nwords[i] has length in range [1, 10].\n\nprefix, suffix have lengths in range [0, 10].\n\nwords[i] and prefix, suffix queries consist of lowercase letters only.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "You will be given a fruit which a farmer has harvested, your job is to see if you should buy or sell.\n\n\n\nYou will be given 3 pairs of fruit. Your task is to trade your harvested fruit back into your harvested fruit via the intermediate pair, you should return a string of 3 actions.\n\n\n\nif you have harvested apples, you would buy this fruit pair: apple_orange, if you have harvested oranges, you would sell that fruit pair.\n\n\n\n(In other words, to go from left to right (apples to oranges) you buy, and to go from right to left you sell (oranges to apple))\n\n\n\ne.g. \n\napple_orange, orange_pear, apple_pear\n\n1. if you have harvested apples, you would buy this fruit pair: apple_orange\n\n2. Then you have oranges, so again you would buy this fruit pair: orange_pear\n\n3. After you have pear, but now this time you would sell this fruit pair: apple_pear\n\n4. Finally you are back with the apples\n\n\n\nSo your function would return a list: [\u201cbuy\u201d,\u201dbuy\u201d,\u201dsell\u201d]\n\n\n\nIf any invalid input is given, \"ERROR\" should be returned", "responses": { "def buy_or_sell(pairs, harvested_fruit):\n \n currentFruit = harvested_fruit\n actions = list()\n \n for pair in pairs:\n \n if currentFruit not in pair: return 'ERROR'\n \n if currentFruit == pair[0]:\n \n actions.append('buy')\n currentFruit = pair[1]\n \n else:\n \n actions.append('sell')\n currentFruit = pair[0]\n \n return actions": 1.0, "def buy_or_sell(pairs, harvested_fruit):\n currentFruit = harvested_fruit\n actions = list()\n \n for pair in pairs:\n if currentFruit not in pair:\n return 'ERROR'\n \n if currentFruit == pair[0]:\n actions.append('buy')\n currentFruit = pair[1]\n \n else:\n actions.append('sell')\n currentFruit = pair[0]\n return action # missing 's' at the end of 'actions' variable": 0.0, "def buy_or_sell(pairs, harvested_fruit):\n currentFruit = harvested_fruit\n actions = list()\n \n for pair in pairs:\n \n if currentFruit != pair[0]: # incorrect comparison operator ('==') instead of ('!=')\n actions.append('buy')\n currentFruit = pair[1]\n \n else:\n actions.append('sell')\n currentFruit = pair[0]\n \n return actions": 0.0, "def buy_or_sell(pairs, harvested_fruit):\n currentFruit = harvested_fruit\n actions = list()\n \n for pair in pairs:\n if currentFruit not in pair:\n return 'ERROR'\n \n if currentFruit == pair[0]:\n actions.append('buy')\n currentFruit = pair[1]\n else:\n actions.append('sell')\n currentFruit = pair[2] # accessing the wrong index of the pair\n \n return actions": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nYou will be given a fruit which a farmer has harvested, your job is to see if you should buy or sell.\n\n\n\nYou will be given 3 pairs of fruit. Your task is to trade your harvested fruit back into your harvested fruit via the intermediate pair, you should return a string of 3 actions.\n\n\n\nif you have harvested apples, you would buy this fruit pair: apple_orange, if you have harvested oranges, you would sell that fruit pair.\n\n\n\n(In other words, to go from left to right (apples to oranges) you buy, and to go from right to left you sell (oranges to apple))\n\n\n\ne.g. \n\napple_orange, orange_pear, apple_pear\n\n1. if you have harvested apples, you would buy this fruit pair: apple_orange\n\n2. Then you have oranges, so again you would buy this fruit pair: orange_pear\n\n3. After you have pear, but now this time you would sell this fruit pair: apple_pear\n\n4. Finally you are back with the apples\n\n\n\nSo your function would return a list: [\u201cbuy\u201d,\u201dbuy\u201d,\u201dsell\u201d]\n\n\n\nIf any invalid input is given, \"ERROR\" should be returned\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Consider a rooted tree. A rooted tree has one special vertex called the root. All edges are directed from the root. Vertex u is called a child of vertex v and vertex v is called a parent of vertex u if there exists a directed edge from v to u. A vertex is called a leaf if it doesn't have children and has a parent.\n\n\n\nLet's call a rooted tree a spruce if its every non-leaf vertex has at least 3 leaf children. You are given a rooted tree, check whether it's a spruce.\n\n\n\nThe definition of a rooted tree can be found here.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer n\u00a0\u2014 the number of vertices in the tree (3 \u2264 n \u2264 1 000). Each of the next n - 1 lines contains one integer p_{i} (1 \u2264 i \u2264 n - 1)\u00a0\u2014 the index of the parent of the i + 1-th vertex (1 \u2264 p_{i} \u2264 i).\n\n\n\nVertex 1 is the root. It's guaranteed that the root has at least 2 children.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"Yes\" if the tree is a spruce and \"No\" otherwise.", "responses": { "def main():\n class Node:\n def __init__(self):\n self.children = [ ]\n n = int(input())\n nodes = [Node() for i in range(n)]\n for i in range(1, n):\n p = int(input())\n nodes[p - 1].children.append(nodes[i])\n ok = all(\n len([child for child in node.children if not child.children]) >= 3\n for node in nodes\n if node.children\n )\n print(\"Yes\" if ok else \"No\")\ntry:\n while True:\n main()\nexcept EOFError:\n pass": 1.0, "mainn()\nclass Node:\n def __init__(self):\n self.children = [ ]\nn = int(input())\nnodes = [Node() for i in range(n)]\nfor i in range(1, n + 1):\n p = int(input())\n nodes[p - 1].children.append(nodes[i])\nok = all(\n len([child for child in node.children if not child.children]) >= 3\n for node in nodes\n if node.children\n)\nprint(\"Yes\" if ok else \"No\")": 0.0, "def main():\n class Nodee:\n def __init__(self):\n self.children = [ ]\n n = int(input())\n nodes = [Nodee() for i in range(n)]\n for i in range(1, n + 1):\n p = int(input())\n nodes[p - 1].children.append(nodes[i])\n ok = all(\n len([child for child in node.children if not child.children]) >= 3\n for node in nodes\n if node.children\n )\n print(\"Yes\" if ok else \"No\")\ntry:\n while True:\n main()\nexcept EOFError:\n pass": 0.0, "def main():\n class Node:\n def __init__(self):\n self.children = [ ]\n n = input()\n nodes = [Node() for i in range(n)]\n for i in range(1, n):\n p = int(input())\n nodes[p - 1].children.append(nodes[i])\n ok = all(\n len([child for child in node.children if not child.children]) >= 3\n for node in nodes\n if node.children\n )\n print(\"Yes\" if ok else \"No\")\ntry:\n while True:\n main()\nexcept EOFError:\n pass": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nConsider a rooted tree. A rooted tree has one special vertex called the root. All edges are directed from the root. Vertex u is called a child of vertex v and vertex v is called a parent of vertex u if there exists a directed edge from v to u. A vertex is called a leaf if it doesn't have children and has a parent.\n\n\n\nLet's call a rooted tree a spruce if its every non-leaf vertex has at least 3 leaf children. You are given a rooted tree, check whether it's a spruce.\n\n\n\nThe definition of a rooted tree can be found here.\n\n\n\n\n\n-----Input-----\n\n\n\nThe first line contains one integer n\u00a0\u2014 the number of vertices in the tree (3 \u2264 n \u2264 1 000). Each of the next n - 1 lines contains one integer p_{i} (1 \u2264 i \u2264 n - 1)\u00a0\u2014 the index of the parent of the i + 1-th vertex (1 \u2264 p_{i} \u2264 i).\n\n\n\nVertex 1 is the root. It's guaranteed that the root has at least 2 children.\n\n\n\n\n\n-----Output-----\n\n\n\nPrint \"Yes\" if the tree is a spruce and \"No\" otherwise.\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" }, { "instruction": "Given an array of citations sorted\u00a0in ascending order (each citation is a non-negative integer) of a researcher, write a function to compute the researcher's h-index.\n\n\n\nAccording to the\u00a0definition of h-index on Wikipedia: \"A scientist has index\u00a0h\u00a0if\u00a0h\u00a0of his/her\u00a0N\u00a0papers have\u00a0at least\u00a0h\u00a0citations each, and the other\u00a0N \u2212 h\u00a0papers have\u00a0no more than\u00a0h\u00a0citations each.\"\n\n\n\nExample:\n\n\n\n\n\nInput: citations = [0,1,3,5,6]\n\nOutput: 3 \n\nExplanation: [0,1,3,5,6] means the researcher has 5 papers in total and each of them had \n\n received 0, 1, 3, 5, 6 citations respectively. \n\n\u00a0 Since the researcher has 3 papers with at least 3 citations each and the remaining \n\n\u00a0 two with no more than 3 citations each, her h-index is 3.\n\n\n\nNote:\n\n\n\nIf there are several possible values for\u00a0h, the maximum one is taken as the h-index.\n\n\n\nFollow up:\n\n\n\n\n\n This is a follow up problem to\u00a0H-Index, where citations is now guaranteed to be sorted in ascending order.\n\n Could you solve it in logarithmic time complexity?", "responses": { "class Solution(object):\n def hIndex(self, citations):\n \"\"\"\n :type citations: List[int]\n :rtype: int\n \"\"\"\n n = len(citations)\n l = 0\n r = n-1\n while l <= r:\n m = (l + r) // 2\n if m == 0 and citations[m] >= n - m or citations[m-1] < n - (m-1) and citations[m] >= n-m:\n return n-m\n if citations[m] < n - m:\n l = m+1\n else:\n r = m\n return 0": 1.0, "class Solution(object):\n def hIndex(self, citations):\n n = len(citations)\n l = 0\n r = n-1\n while citations:\n m = (l + r) // 2\n if m == 0 and citations[m] >= n - m or citations[m-1] < n - (m-1) and citations[m] >= n-m:\n return n-m\n if citations[m] < n - m:\n l = m+1\n else:\n r = m\n return 0": 0.0, "class Solution(object):\n def hIndex(self, citations):\n n = len(citations)\n l = 0\n r = n-1\n while l <= r:\n m = (l + r) // 2\n if m == 0 and citations[m] >= n - m or citations[m-1] < n - (m-1) and citations[m] is n-m:\n return n-m\n if citations[m] < n - m:\n l = m+1\n else:\n r = m\n return 0": 0.0, "class Solution(object):\n def hIndex(self, citations):\n n = len(citations)\n l = 0\n r = n-1\n while l <= r:\n m = (l + r) // 2\n if m == 0 and citations[m] >= n - m or citations[m-1] < n - (m-1) and citations[m] >= n:\n return n-m\n if citations[m] < n - m:\n l = m+1\n else:\n r = m\n return 0": 0.0 }, "prompt": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\nGiven an array of citations sorted\u00a0in ascending order (each citation is a non-negative integer) of a researcher, write a function to compute the researcher's h-index.\n\n\n\nAccording to the\u00a0definition of h-index on Wikipedia: \"A scientist has index\u00a0h\u00a0if\u00a0h\u00a0of his/her\u00a0N\u00a0papers have\u00a0at least\u00a0h\u00a0citations each, and the other\u00a0N \u2212 h\u00a0papers have\u00a0no more than\u00a0h\u00a0citations each.\"\n\n\n\nExample:\n\n\n\n\n\nInput: citations = [0,1,3,5,6]\n\nOutput: 3 \n\nExplanation: [0,1,3,5,6] means the researcher has 5 papers in total and each of them had \n\n received 0, 1, 3, 5, 6 citations respectively. \n\n\u00a0 Since the researcher has 3 papers with at least 3 citations each and the remaining \n\n\u00a0 two with no more than 3 citations each, her h-index is 3.\n\n\n\nNote:\n\n\n\nIf there are several possible values for\u00a0h, the maximum one is taken as the h-index.\n\n\n\nFollow up:\n\n\n\n\n\n This is a follow up problem to\u00a0H-Index, where citations is now guaranteed to be sorted in ascending order.\n\n Could you solve it in logarithmic time complexity?\n\n### Response:\n", "prompt_format": "Below is an instruction that describes a task, paired with an input that provides further context. Complete the request to the best of your ability.\n\n### Instruction:\nWrite a python program that solves the following programming problem.\n\n### Input:\n{instruction}\n\n### Response:\n" } ]