mirror of
https://github.com/wassname/viz_torch_optim.git
synced 2026-06-27 18:08:02 +08:00
1599 lines
686 KiB
Plaintext
1599 lines
686 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"This project generates animations of pytorch optimizers solving toy problems.\n",
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"\n",
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"\n",
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"[Some nice animations](http://www.denizyuret.com/2015/03/alec-radfords-animations-for.html) were posted a few years ago by Alex Radford but didn't include Adam or landscapes with noise. [Louis Tiao](http://louistiao.me/notes/visualizing-and-animating-optimization-algorithms-with-matplotlib/) blogged about how to make the visulisations. The [pytorch unit tests](https://github.com/pytorch/pytorch/blob/master/test/test_optim.py) show how to run the optimizers on a test function. I pulled these together and shared the result at https://github.com/wassname/visualizing_torch_optim.\n",
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"\n",
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"References:\n",
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"\n",
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"- functions:\n",
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" - [wikipedia test functions for opt](https://en.wikipedia.org/wiki/Test_functions_for_optimization)\n",
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" - [ssurjano a list of function and thier minima](https://www.sfu.ca/~ssurjano/optimization.html) \n",
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"\n",
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"- online symbolic algebra https://cocalc.com/settings?session=default\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:18:00.508797Z",
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"start_time": "2017-11-15T07:17:56.747352Z"
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}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Populating the interactive namespace from numpy and matplotlib\n"
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]
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}
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],
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"source": [
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"%pylab inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:18:02.892120Z",
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"start_time": "2017-11-15T07:18:00.510030Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"import torch\n",
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"from torch.autograd import Variable"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:18:03.154346Z",
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"start_time": "2017-11-15T07:18:02.893325Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"\n",
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"from mpl_toolkits.mplot3d import Axes3D\n",
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"from matplotlib.colors import LogNorm\n",
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"from matplotlib import animation\n",
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"from IPython.display import HTML\n",
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"\n",
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"from collections import defaultdict\n",
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"from itertools import zip_longest\n",
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"from functools import partial"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:18:03.158342Z",
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"start_time": "2017-11-15T07:18:03.155746Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"import datetime\n",
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"ts = datetime.datetime.utcnow().strftime('%Y%m%d_%H-%M-%S')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Helpers to create optimization paths"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T06:01:44.265981Z",
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"start_time": "2017-11-15T06:01:44.263701Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": []
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:19:14.127134Z",
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"start_time": "2017-11-15T07:19:14.099176Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"\"\"\"modified from https://github.com/pytorch/pytorch/blob/master/test/test_optim.py\"\"\"\n",
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"\n",
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"def test_f(f, df, constructor, steps=150, x0=[-4,-1], solution=[-2,0]):\n",
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" state = {}\n",
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"\n",
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" # start\n",
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" params = Variable(torch.Tensor(x0), requires_grad=True)\n",
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" optimizer = constructor([params])\n",
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"\n",
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" solution = torch.Tensor(solution)\n",
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" initial_dist = params.data.dist(solution)\n",
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"\n",
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" def eval():\n",
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" optimizer.zero_grad()\n",
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" loss = f(params)\n",
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" loss.backward()\n",
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" # loss.backward() will give **slightly** different\n",
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" # gradients, than drosenbtock, because of a different ordering\n",
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" # of floating point operations. In most cases it doesn't matter,\n",
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" # but some optimizers are so sensitive that they can temporarily\n",
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" # diverge up to 1e-4, just to converge again. This makes the\n",
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" # comparison more stable.\n",
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" \n",
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"# params.grad.data.copy_(df(params.data))\n",
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" return loss\n",
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"\n",
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" data=[]\n",
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" dist=[]\n",
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" for i in range(steps):\n",
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" optimizer.step(eval)\n",
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" dist.append(params.data.dist(solution)) # loss\n",
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" data.append(params.data.numpy().copy())\n",
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" return np.array(data), np.array(dist)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"collapsed": true
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},
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"source": [
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"# Functions\n",
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"\n",
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"Tip when making new problems:\n",
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"\n",
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"- get them from [here](https://www.sfu.ca/~ssurjano/optimization.html)\n",
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"\n",
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"- and calculate the derivative using sagemath. Go to https://cocalc.com/ and execute code like this:\n",
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"```py\n",
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"x = var('x')\n",
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"y = var('y')\n",
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"r=(1.5 - x + x*y)**2 + (2.25 - x + x*y**2)**2 + (2.625 - x + x*y**3)**2\n",
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"print 'dx =',simplify(derivative(r,x))\n",
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"print 'dy =',simplify(derivative(r,y))\n",
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"# output:\n",
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"# dx = 2*(x*y^3 - x + 2.625)*(y^3 - 1) + 2*(x*y^2 - x + 2.25)*(y^2 - 1) + 2*(x*y - x + 1.5)*(y - 1)\n",
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"# dy = 6*(x*y^3 - x + 2.625)*x*y^2 + 4*(x*y^2 - x + 2.25)*x*y + 2*(x*y - x + 1.5)*x\n",
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"```\n",
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"\n",
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"TODO:\n",
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"\n",
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"- [ ] add noise"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T04:50:45.841796Z",
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"start_time": "2017-11-15T04:50:45.838448Z"
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}
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},
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"outputs": [],
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"source": [
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"azim=-95"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:19:14.769121Z",
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"start_time": "2017-11-15T07:19:14.747120Z"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"\n",
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" 1\n",
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"[torch.FloatTensor of size 1]"
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]
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},
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"execution_count": 16,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"def to_tensor(x):\n",
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" # TODO: I'm sure there's a proper way to do this\n",
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" if isinstance(x, np.ndarray):\n",
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" return torch.FloatTensor(x.astype(np.float32))\n",
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" if isinstance(x, list):\n",
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" return torch.FloatTensor(x)\n",
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" elif isinstance(x, (float, int, numpy.generic)):\n",
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" return torch.FloatTensor([float(x)])\n",
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" else:\n",
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" return x\n",
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" \n",
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"# def from_tensor(x):\n",
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"# x = getattr(x,'data',x)\n",
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"# if hasattr(x, 'numpy'):\n",
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"# x = x.numpy()\n",
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"# return x\n",
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"# to_tensor(1.0)\n",
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"# to_tensor(1)\n",
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"# to_tensor(np.array([1.0]))\n",
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"# to_tensor([1.0])\n",
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"# to_tensor(torch.rand((4,4)))\n",
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"# to_tensor(Variable(torch.rand((4,4))))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:19:15.041567Z",
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"start_time": "2017-11-15T07:19:15.027335Z"
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}
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},
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"outputs": [],
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"source": [
|
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"class Problem(object):\n",
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" def __init__(self, f, df, minima, x0, bounds=[[-5,5],[-5,5]], lr=1e-3, steps=3000):\n",
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" \"\"\"\n",
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" Problem setup\n",
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" \n",
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" Params:\n",
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" - f: function [x1,x2] => z\n",
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" - df: derivative function ([x1,x2]=>[dx1,dx2])\n",
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" - minima: where the function has a minima\n",
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" - self: bounds\n",
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" \n",
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" - x0: suggested start\n",
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" - lr: suggested learning rate\n",
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" - steps: suggested steps\n",
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" \"\"\"\n",
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" self.f = f\n",
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" self.df = df\n",
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" self.x0 = x0\n",
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" self.bounds = bounds\n",
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" self.minima = minima\n",
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" self.lr = lr\n",
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" self.steps = steps\n",
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" \n",
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" self.xmin = bounds[0][0]\n",
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" self.xmax = bounds[0][1]\n",
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" self.ymin = bounds[1][0]\n",
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" self.ymax = bounds[1][1]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"metadata": {
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"ExecuteTime": {
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|
"end_time": "2017-11-15T07:19:15.349573Z",
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"start_time": "2017-11-15T07:19:15.330644Z"
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}
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},
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"outputs": [],
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"source": [
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"\"\"\"A valley\"\"\"\n",
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"def madsen(tensor):\n",
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" \"\"\"Madsen function (1981).\"\"\"\n",
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" x1, x2 = tensor\n",
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" x1 = to_tensor(x1)\n",
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" x2 = to_tensor(x2)\n",
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"\n",
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" r = x1**2 + x2**2 + x1 * x2 +\\\n",
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" torch.sin(x1) +\\\n",
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" torch.cos(x2) #+ np.abs(noise(x1,x2))\n",
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" return r\n",
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" \n",
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" \n",
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"def dmadsen(tensor):\n",
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" x1, x2 = tensor\n",
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" x1 = to_tensor(x1)\n",
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" x2 = to_tensor(x2)\n",
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" dx1=2. * x1 + x2 + np.cos(x1)\n",
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" dx2 = 2. * x2 + x1 -np.sin(x2)\n",
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" return torch.stack([dx1, dx2],1)[0]\n",
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" \n",
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"\n",
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"madsen_problem= Problem(\n",
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" f=madsen,\n",
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" df=dmadsen,\n",
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" minima=np.array([-0.39999999999999591, 0.20000000000000462]),\n",
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" x0=[-3,-4],\n",
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" steps=3000,\n",
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" lr=1e-4\n",
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")\n",
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"problem=madsen_problem"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2017-11-15T07:19:15.792837Z",
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"start_time": "2017-11-15T07:19:15.762622Z"
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},
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"collapsed": true
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},
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"outputs": [],
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"source": [
|
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"def schaffern4(tensor):\n",
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" \"\"\"https://www.sfu.ca/~ssurjano/schaffer4.html\"\"\"\n",
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" x1, x2 = tensor\n",
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" x1 = to_tensor(x1)\n",
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" x2 = to_tensor(x2)\n",
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"\n",
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" r = 0.5 + (cos(sin(abs(x1**2-x2**2))) - 0.5)/(1+0.001*(x1**2+x2**2))**2\n",
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" return r*100\n",
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"\n",
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"\n",
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"def dschaffern4(tensor):\n",
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" x1, x2 = tensor\n",
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" x1 = to_tensor(x1)\n",
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" x2 = to_tensor(x2)\n",
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" dx1 = -2*(x1**2 - x2**2)*x1*cos(abs(-x1**2 + x2**2))*sin(sin(abs(-x1**2 + x2**2)))/((0.001*x1**2 + 0.001*x2**2 + 1.0)**2*abs(-x1**2 + x2**2)) - 0.004*x1*(cos(sin(abs(-x1**2 + x2**2))) - 0.5)/(0.001*x1**2 + 0.001*x2**2 + 1.0)**3\n",
|
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" dx2 = 2*(x1**2 - x2**2)*x2*cos(abs(-x1**2 + x2**2))*sin(sin(abs(-x1**2 + x2**2)))/((0.001*x1**2 + 0.001*x2**2 + 1.0)**2*abs(-x1**2 + x2**2)) - 0.004*x2*(cos(sin(abs(-x1**2 + x2**2))) - 0.5)/(0.001*x1**2 + 0.001*x2**2 + 1.0)**3\n",
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" return torch.stack([dx1, dx2], 1)[0]\n",
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"\n",
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"\n",
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"schaffern4_problem = Problem(\n",
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" f=schaffern4,\n",
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" df=dschaffern4,\n",
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"# minima=np.array([0, 1.25313]),\n",
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" minima=np.array([100,100]),\n",
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" bounds=[[-100, 100], [-100, 100]],\n",
|
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" x0=[10, 5],\n",
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" steps=3000,\n",
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" lr=1e-1\n",
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")\n",
|
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"problem = schaffern4_problem"
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]
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},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:16.162516Z",
|
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"start_time": "2017-11-15T07:19:16.146491Z"
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}
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|
},
|
|
"outputs": [],
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"source": [
|
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"\"\"\"Banana shaped\"\"\"\n",
|
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"def rosenbrock(tensor):\n",
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" x, y = tensor\n",
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" x = to_tensor(x)\n",
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" y = to_tensor(y)\n",
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" return (1 - x) ** 2 + 100 * (y - x ** 2) ** 2\n",
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"\n",
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"\n",
|
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"def drosenbrock(tensor):\n",
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" x, y = tensor\n",
|
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" x = to_tensor(x)\n",
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" y = to_tensor(y)\n",
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" dx = 400 * (x**2 -y) + 2 * x - 2 \n",
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" dy = -200 * x**2 + 200 * y\n",
|
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" return torch.stack([dx,dy],1)[0]\n",
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"\n",
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"\n",
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"rosenbrock_problem= Problem(\n",
|
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" f=rosenbrock,\n",
|
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" df=drosenbrock,\n",
|
|
" minima=np.array([1,1]),\n",
|
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" x0=[-3,-4],\n",
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" steps=3000,\n",
|
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" lr=1e-4\n",
|
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")\n",
|
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"problem=rosenbrock_problem\n"
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|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:16.572462Z",
|
|
"start_time": "2017-11-15T07:19:16.538152Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"from torch import sin, cos, sqrt, abs, log\n",
|
|
"def eggholder(tensor):\n",
|
|
" \"\"\"https://www.sfu.ca/~ssurjano/camel6.html\"\"\"\n",
|
|
" x1, x2 = tensor\n",
|
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" x1 = to_tensor(x1)\n",
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" x2 = to_tensor(x2)\n",
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"\n",
|
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" r = - (x2+47)*sin(sqrt(abs(x2+x1/2+47))) - x1*sin(sqrt(abs(x1-(x2+47))))\n",
|
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" return r\n",
|
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"\n",
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"\n",
|
|
"def deggholder(tensor):\n",
|
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" x1, x2 = tensor\n",
|
|
" x1 = to_tensor(x1)\n",
|
|
" x2 = to_tensor(x2)\n",
|
|
" dx1 = -1/8*(x1 + 2*x2 + 94)*(x2 + 47)*cos(sqrt(abs(1/2*x1 + x2 + 47)))/abs(1/2*x1 + x2 + 47)**(3/2) - 1/2*(x1 - x2 - 47)*x1*cos(sqrt(abs(-x1 + x2 + 47)))/abs(-x1 + x2 + 47)**(3/2) - sin(sqrt(abs(-x1 + x2 + 47)))\n",
|
|
" dx2 = -1/4*(x1 + 2*x2 + 94)*(x2 + 47)*cos(sqrt(abs(1/2*x1 + x2 + 47)))/abs(1/2*x1 + x2 + 47)**(3/2) + 1/2*(x1 - x2 - 47)*x1*cos(sqrt(abs(-x1 + x2 + 47)))/abs(-x1 + x2 + 47)**(3/2) - sin(sqrt(abs(1/2*x1 + x2 + 47))) \n",
|
|
" return torch.stack([dx1, dx2], 1)[0]\n",
|
|
"\n",
|
|
"\n",
|
|
"eggholder_problem = Problem(\n",
|
|
" f=eggholder,\n",
|
|
" df=deggholder,\n",
|
|
" minima=np.array([-512, -404.2319]),\n",
|
|
" bounds=[[-512, 512], [-512, 512]],\n",
|
|
" x0=[100,300],\n",
|
|
" steps=3000,\n",
|
|
" lr=1e-4\n",
|
|
")\n",
|
|
"problem = eggholder_problem"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:16.953795Z",
|
|
"start_time": "2017-11-15T07:19:16.930340Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def six_humped_camel_back(tensor):\n",
|
|
" \"\"\"https://www.sfu.ca/~ssurjano/camel6.html\"\"\"\n",
|
|
" x1, x2 = tensor\n",
|
|
" x1 = to_tensor(x1)\n",
|
|
" x2 = to_tensor(x2)\n",
|
|
"\n",
|
|
" r = (4 - 2.1 * x1**2 + x1**4 / 3) * x1**2 + \\\n",
|
|
" x1 * x2 +\\\n",
|
|
" (-4 + 4 * x2**2) * x2**2\n",
|
|
" return r\n",
|
|
"\n",
|
|
"\n",
|
|
"def dsix_humped_camel_back(tensor):\n",
|
|
" x1, x2 = tensor\n",
|
|
" x1 = to_tensor(x1)\n",
|
|
" x2 = to_tensor(x2)\n",
|
|
" dx1 = -0.333333333333333 * (-4.00000000000000 * x1**3 + 12.6000000000000 * x1) * x1**2 - 0.666666666666667 * \\\n",
|
|
" (-1.00000000000000 * x1**4 + 6.30000000000000 *\n",
|
|
" x1**2 - 12.0000000000000) * x1 + x2\n",
|
|
" dx2 = 8 * x2**3 + 8 * (x2**2 - 1) * x2 + x1\n",
|
|
" return torch.stack([dx1, dx2], 1)[0]\n",
|
|
"\n",
|
|
"\n",
|
|
"camel6_problem = Problem(\n",
|
|
" f=six_humped_camel_back,\n",
|
|
" df=dsix_humped_camel_back,\n",
|
|
" minima=np.array([0.0898,-0.7126]),\n",
|
|
" bounds=[[-3, 3], [-2, 2]],\n",
|
|
" x0=[1.3, -1.5],\n",
|
|
" steps=3000,\n",
|
|
" lr=1e-3\n",
|
|
")\n",
|
|
"problem = camel6_problem"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:17.434255Z",
|
|
"start_time": "2017-11-15T07:19:17.411094Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"\"\"\"Valley\"\"\"\n",
|
|
"\n",
|
|
"\n",
|
|
"def beales(tensor):\n",
|
|
" \"\"\"Beales function, like a valley\"\"\"\n",
|
|
" x, y = tensor\n",
|
|
" x = to_tensor(x)\n",
|
|
" y = to_tensor(y)\n",
|
|
" # + noise(x,y)\n",
|
|
" return (1.5 - x + x * y)**2 + (2.25 - x + x * y**2)**2 + (2.625 - x + x * y**3)**2\n",
|
|
"\n",
|
|
"\n",
|
|
"def dbeales(tensor):\n",
|
|
" x, y = tensor\n",
|
|
" x = to_tensor(x)\n",
|
|
" y = to_tensor(y)\n",
|
|
" dx = 2 * (x * y**3 - x + 2.625) * (y**3 - 1) + 2 * (x * y**2 -\n",
|
|
" x + 2.25) * (y**2 - 1) + 2 * (x * y - x + 1.5) * (y - 1)\n",
|
|
" dy = 6 * (x * y**3 - x + 2.625) * x * y**2 + 4 * \\\n",
|
|
" (x * y**2 - x + 2.25) * x * y + 2 * (x * y - x + 1.5) * x\n",
|
|
" return torch.stack([dx, dy], 1)[0]\n",
|
|
"\n",
|
|
"beales_problem= Problem(\n",
|
|
" f=beales,\n",
|
|
" df=dbeales,\n",
|
|
" minima=np.array([3., 0.5]),\n",
|
|
" bounds=[[-4.5,4.5],[-4.5,4.5]],\n",
|
|
" x0=[1.4,1.7],\n",
|
|
" steps=6000,\n",
|
|
" lr=1e-3\n",
|
|
")\n",
|
|
"problem=beales_problem\n",
|
|
"\n",
|
|
"azim=-95"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-14T12:25:58.101794Z",
|
|
"start_time": "2017-11-14T12:25:58.095399Z"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Grid"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:25.143821Z",
|
|
"start_time": "2017-11-15T07:19:25.122625Z"
|
|
},
|
|
"run_control": {
|
|
"marked": false
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(0.00029144029, 181853.61, 0.0)"
|
|
]
|
|
},
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# define boundaries\n",
|
|
"# xmin, xmax, xstep = -5, 5, .05\n",
|
|
"# ymin, ymax, ystep = -5, 5, .05\n",
|
|
"# x0 = np.array([3., 4.])\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"xmin = problem.xmin\n",
|
|
"xmax = problem.xmax\n",
|
|
"ymin = problem.ymin\n",
|
|
"ymax = problem.ymax\n",
|
|
"ystep = xstep= (xmax-xmin)/200.0\n",
|
|
"zeps = 1.1e-0 # we don't want the minima to be actual zero or we wont get any lines shown on a log scale\n",
|
|
"# and x, y, z\n",
|
|
"x, y = np.meshgrid(np.arange(xmin, xmax + xstep, xstep), np.arange(ymin, ymax + ystep, ystep))\n",
|
|
"z = problem.f([x, y]).numpy() # we shift everything up so the min is zero\n",
|
|
"logzmax=np.log(z.max()-z.min()+zeps)\n",
|
|
"z_min = problem.f(problem.minima).numpy()\n",
|
|
"\n",
|
|
"z.min(), z.max(), z_min[0]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:25.878711Z",
|
|
"start_time": "2017-11-15T07:19:25.874457Z"
|
|
},
|
|
"run_control": {
|
|
"marked": false
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# reshape some vars\n",
|
|
"minima_ = problem.minima.reshape(-1, 1)\n",
|
|
"\n",
|
|
"_x0 = np.array([problem.x0]).T"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:26.133796Z",
|
|
"start_time": "2017-11-15T07:19:26.127684Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"assert z.min()>=z_min[0], 'your minina is wrong'\n",
|
|
"assert (problem.df(problem.minima).numpy()<=1e-3).all(), 'gradient should be close to 0 at minima'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:27.129218Z",
|
|
"start_time": "2017-11-15T07:19:26.443473Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
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0SDndAXPKIyJOqbkwYH5kGnPDmM/RB5q8T+A5IXwTeITIRHXmYN99vYboXPX7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\nXt2PpUmDb0qLuUl8WqmGJpNAvmoqyjckDq1YP8y0kFMLL/bv3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FiVk7ByqgzAE5Mkgi4s\nC9uxA+pQSM5MEZZ7Qix1NwAx2dYKgju/DzM4cqDvCOwZ8JjgOhoC8Okt+8f26qEvVhbUtpMdmm5t\n0DNfEZ8QIJZ2ABzYttLJa1sHSrrQffWnmvIfa/Pe/9bPc1xLxZEXaK5ASphNnXT5VrrY+jkhw9SJ\nIVi7AVBnBlMzY8bNGVBf6tU9UGcGkcrV6m07J9PDNt0xAaQTMjJmRKZr1wa8Q5AWb9C+I+YAtpc4\n8tb6uxJ7Nf3kY0KRsOwAek9uAH3NhAbPgRMHTizZEyGP6YyMOTl7KracuOOAmgoynhk4r6i4o2RN\nxZWB85KaDQqNuSHlM1JuTdI4OMdTEnKTM76k4TMXE0WOu9ZDK2D+WaVGk09S+NlJ9rnHmdqw21QM\ndnmShLGrZD9bHdVNd7Ci3BlTfoumvNwIxE+2X5ZqknSWiQWlKVStwPrQiqGXhlCTRL7jkZM97qFV\nYa8wduw8PHFQRp5bPAnwBMfJeW5pzsBYtkNNWb4mJQO21Lw2ACqIGSMr2J6KW5PAMmKuLF24sgpG\nAOKUhLlFYbXIe7AasGHZLQsyY5+Vgeue6g0QDsU7QeSJkv3Zflq15Z0OrKJ2ZQW7nQFwv4LUVTzu\n5L5ApEJUV8nO9OKeZ0cG8z34pga+gXSFWLBLySIU/DUzKBz/IbYs1hzJX4XtI0V3JqRc2UlR8/Jl\nBdYZ0PZgPbMLou1Obj9z5FwGcd2JHerVMSF7qm+EHgJ1v4yKyRhZzLzcG6Et5MSJPaW9V2DeCRkT\n+/l6Fn2i5MDR2HFi4F9QMGXaCSJ6Rf2Jrco9ImNqAH3kxJGS0mx0I3IKcmaMKKmsAeXIliMFGWMy\nnjHhQM2GEw8c2Zi2/JzCioUnXnOkIOaajCkxd1TccqIg5pH9xm5p+IqKZy7hEx/zkoYvafjUxfjI\ncd96Yg+fJHJl3Ht4kiorYxYLGIOMcVsqA2MtpUYasu8/PO+WL46lwPtmrll6WSLfcxIbIMcC5CxR\nk0tukoVzuhk3bR+tuWkVFNQ4z4N14I0HuvG1XSkPTg6EuckUAYwTHDfGUbdUrGiJOlYcmw5c0hhb\nnhkEtjQcKFkbA7wE4qNdB6GIF9hwRigan9hw6CQDXSujTo5oO167PZMigg6cmAdIprUTNSUl27MC\nXJAfQryBfhMhK/GIugmGmnFkosi0A1+tXvuV69vBN4Twjgyw+2O1b00/6+RPfcp/Qps3ljo17YjB\nyajs76e3gHXcAbU+T7rlTVgChSdxYNVVd2xIRQ7seDJg1KcB8O6pOgkjHuw/YsSsW9rVbwHpxB4g\nCTm5NYdUnQfjxJ4tsDUWnZuQMu5uusBr9uxJ7KYbkzOl4GTa88GgPnQvXjNGHtiyY9A5CRNGPGPC\nnqoD5y0nFuR8QsGGijUVLzkwJ+MZKRtallR8Q8sjUj4l5VsqvqHmsYv5zMd8TcNXxpgbJ2B+Filt\n7t7yhotIAUZPUk0uIcEYnj7XdkqDsth5lN8hX6ysIcQPPpxTelsYUBoyjlNHBxtprFjNaQwn2+86\nVvtz7dWFV0WeOzw5jiskXZzwjFEk5s604XgAxmsqKgPoa+Ove2ruKPHQNf5EyFmztMDLhIgpI0ZW\nryhttROAWFeECnThsb5no/8vzmQvCRfq0AuP9OoChCVFpKTdyq9ix3GgA4dWjcwAW5EFQc472v+w\nZ8CO0EpSmGSR2f0TAmuP1GxoqbhkzVHHmtML8A1TM7ddjWi4hSj8D7GdGnjx3l7jX47tIwUS1dR8\nY/+ShKGPMPNj8hawPg3A+tI2l3XHJpYy0Fd4K3vSvyl/9CNSM1IKcuadRq3ct3M2reVcjlyeOSOm\nBtKhd6/kaMDrOo1Z0DpmZqqeZI6jeTDENXQ7Flx1AF1SsrM/qT0S5kzQlBKB84YdW/YU5EwYMWXE\nwYqC92xJSZiRd+C85sQtB0aoVXtMwgMnlpzYE3FtLPyWE684sSDhU1Je2fL82nEGzJ+6iAp41Xo+\ni2DvHd82kjG+KiUf5LH05UmqQt/IWG1kBTmQDgyDhLgL+WJ7UMLb+iDHRdUCIU7MWRZxZGkJNsEj\niyVjTGI42L5XiWfpxe4fRwLgBnXgeSeJRtJFTEXLra1OrkhJzV1xoiXFcUM+YMsNDseYlDEpDY1B\nYG2rm5QCpVccObFkcwbEYRTaqVNwQ9JgZOsmWdRCHePI9owxZxSdyizt+ER1IUVEJnAECU6yRegN\n3FiX6rDwndka6k0Absw9PwRRsebMKhO9JKnEjJOB766TEodbH14wGsiZWSeV/LptH2kcVEbCJygN\nNpywPQz0W4F1NgBruToFtkFvPnVgrRPet+zoxOaExmbJH+5MDwsXWD0o7kXde+XGph3BbxmAOjg+\nnLEN9UIVxqRbgju5Nm+F/jcy0wlex6b5hfKe+K/eXbdpQdFJHCVHNmzQtIjcXmFkRaDS4L1kRMqY\ngjEZB+NG9+xsqTziGWN2Bs6v2TEl47F5mR848YoDCzKek3e+5hOepyTc0fJAQ+M8n/qYr2j4xrV8\nSsRXwMvW80kMX1aOVasZdMtGofl3JxXzGq+cibKSFS2AcZelPIjyDNvBIj69sxl3kc3oiwTGOH2t\nRXJG7VVIPHoB8tEJrCex9OORyRV3TtrxUxxL11AhqWIELJG1bWr68JaKNY1JFwLjDUoQVkEvJyem\npOLBstUSYuYU5KSm1u5RaLvragSBER/Yd0CsUJ+CkBGhaK19N19SjLkXNwBCM/+R5QCsk06KSMis\nXqJruDRwDIw2AGJYFUakbwHgIWsOAFx0MuGQ/baW7KL7c1jsi+zen53JkwLfaoAFh+7vzv6PP3TL\nYvj86oO81C98+0jyRQOcUDaWtFigky96sD7RsuU8LUr5aoEZa8bGkFUPR57uL4A6s6WU2p8jFt1x\nDeVAa14R4l8iA131213RezM1XyQ0T5esCKmyUvFmOBaEgNHAoo9sTVPXrZmzwFvJRPxYOnRsyvbI\neHYAZzWAB/miYM6EloI9Rw6cOHJCWR8jHjPjQMWWI3dsyUmZM6JgwpqSDXJsXJPznIIHSpYoyeuG\nnJyIeyq+xfMUzRVe0YKDTwyYv3WeT3C88HDvPY8Tx+taQfnrRpJF7HqHRJAugqbsXK8lt+2bAfZr\nky4a054jlN4W5IzI6d+xTfvIrcBXDAC5iD0r75ngSZxn6WRzK/DcuoYYeEps9ja1p9+QUlJzy5EI\nx5XJFEMwXhgY7ym5t8KcHoxjIuBAyYPJE3JVjMlJ7WErOcnTA7F+486qEVvqjjHHVgpWgS4Ez+46\ncA0qbTDQnYOwdOY+VCs2HVggrKDovkdwb2Aa7rnI5LsAwGLZ/b12oGJt9+uwqy+1ey0b3Kuq6/T3\n9qq734c9CBjLlpr/pz7lP5FNssLrsx/D2ckLs58xVqz9wwVQdp9he3F8uABkOHoTqAW6NRsCIw8a\ndWQsITFm3LPp0pZ367eA9IiEK0Y4K2gEkA6atLPXHBm4Tq1EeTR1WFq00u1GpIyYcdUx6JIjB3Yc\n2JGauDE1Tfto4Cz2HFFQMLGPwJzLATg/YcaOkh0lt2wZk7FgxJiEJSW3HBijIP5QCPyWA4/JeUrG\naypeUvIMBfsvaXEOnvmIl7QsHTyJIl61nrHzZE768jySDW2WaADpyKQHx6DAN5AiwhTo4bY7ypt8\nrPRoDlOvWyewbzEpBOUfn5y68qyeyChW6t0MaGOd+WscjTWAjJHf5wGNRboy3fgBBVVNUTLflhNr\n6gEYR+w4sWGPw1GQMiGnoWHfSRBBuhjhgJKSlTWDaAjCyGA95sSRPZsOiGMSCiakxpi1+tpzoM8d\nlrNnhnIk0m4VdzSN1tR3A+GZXbcZWLFPxbsgQwQWrFk74TqPSO1+PRkD3th9OPQoB7dE1oGw7qOT\nAby8PwLfYWdf6EmYdyvic9niEqx//u1Uw4v7D/JSv/DtI8kXOTE/tpMUEtf01B0WCaRJ5ThjxvGA\nFQ+fuJpKVtKcNaL0jNp1LDcaSB8lw7GnYQtMOrIeugw5Pppu3wDSawKLUGRQTjbQmBUtJAYtFp2a\npiePRJi+cg7Qus2kbxfGxw/Gqla2aBwxomDM2KD7yI4de/b2nYKCEQdTrUtOjMiYmKyx4ciOkiMV\nM0Y8ZcyaE1tOlDTcMOIpBXccecXRWHTGK0685MQzMlrEmB85xyMfcUfLyHkm1g33JIZXtSOKgVau\nB+zMNv5cTw5FPjf4XthOlXTmwKaDTNG9hgGzd/2/Iy/w9cjytvWemRX0Kjw3OPZWzLu26+GOipSI\nxyRsUYZZRsSCnBM1d+wBOSkKEna2ynA4JuSMyaioWbGloSEiYkLBiAw18O86eSIjI0c9d+LLOxOJ\nAmOeoKanyB7OW0Io15ANp+RobSnzZDMASjkiJsRGNnS3lFb4fhhowc5kiFkHwtKOAwCvOj24vz/C\nBL8w7yQdALDy7cJ92a9wwxjVUXcvu445+wEGbDtJMoD3h5Iv/hjbY+fcHw3+/QcWEfEntn0k+aIG\nv7WlyYzIXQNhjkLVgbSG3xzwZ1pzYic2R6x6gjMZQllT4bjyDUYdAFrpxTkJMzuusQvqSGhuBbX/\nBCYtkF6QEbJjw2AnzabW6yd2I4yQa3jRsejaWj9ObFDr6dgA+noA0IdO4lBH1djgdzqQNqQgZ+bw\nWLAgtAQcTPoYURhAj9hzYG8gPCZnZorlmgNL9vboKRiR8MCBW/bMyXlKwT0l95TMUTfgt5z4dgDM\ndzQ8dTFj77ij5bmLOHglp40jx7pVQ8ahlYbcDKSLxgtAvR1R5pAAACAASURBVOtn2rWt2qbDdrQV\nd+1tfyy8yIp7LgAypjU7KwR6achbPFOGgAwbp6bmx8QGh63FZsI9Gv8VpIqlJQ+PUafkgRN3dj1N\nyJmQUVKxZDPQkaekxJw4sWJlrDhizJicHE9rZd51B7Q5BRkhm7u0VpEAxDEZY2PDGSqSHzkMJAkV\nlcM1nYMBa2Pej76w5qxWMjYWnNn50L2i5I1hbkZk4DsZEJxoQGo2dq9dAnCGOmmHAOwIEf1wNOmi\nhDPHhTOQD7JF+sHkiyyBz2++16633vuffJA3/Tm3j6Ype9/LF0oaCEAbPk+JXJAvGrCTr0TbEn/G\niodAHVqrF92xPUgfadkBG4YjTMMTPLGRlfJCh/2PFyA9Mn+lIukhZG0MJ+9tEYtW351q71MU03JE\nvXlbA+hksM8N8pvKX7FnhWNtZaExM3NnlAazJ0qrqU+YMaegNmjuwXlszFlc+siRE1PGPGLKHnUI\n3rJlzognTCzwSLGLj8hZ2rqgwV8Ac0qF4zUNz4g5Abeu5cZF3Hp4FHn2tRO7tSS4uu2tbHGkBDfv\nwXmBcmMac9gOpRX10OeqgSQzYEbHYB8tssNVSEPe4SnwVJF6w65xrJwaQW6IWFPRAo9IOdFwT92x\n471JFQoT0orl3gp4OpM5FTUPBsZyuYxJiG3lIneFujsnZGTGiVfU1KirUw/VlMzY7o7K2G4PxCrU\nBVmiZEnwCUcmSYQCXbgGSx5oKAkgKSY8t2u2B2Fdq0tahgFeaQfAwcamlaUmATWsDFSb7oghAAfg\n1nvUtu+Olrt3SBcZamDPOgDXuW6RdFFeHPPrsX0kUM5x7s+gX3pgxUc0tKSXLzyZ9mVkn+dETiVU\nLdXKDnAF1pdAXXTM2HFFP9amP+Zc9ogGID3qCns9SB9Mh1vaTxjZUm5kwBrki2MH0iErQwxaw51S\nJhcALQYtDbogM5NbyNsIIC1384SCKQUTEy8ObFlZiXHMlCkFBQf2HDhQcqRgzMwW1Bv2rNnaolUu\n6KWx5jEZNxTmNlADxA0jYlynqj8j4yUnXlPxiIxX1Ny5hkc+5ls8rfNkODZ4CgdHHNlArvDe/MXe\nYMOLIafmqhiC8u5o8xwbMeHGQ2vde1FkOnIo9KEgoszpzOaIitdO45nWVtBbEPFARYLjMUnnOZ6T\nkuF4sILdzLjrmgMVNZoeM6Gl6WSKxL4WE3HgYBnFGNwqpvXIgaWxYk24mZIxAlpOHDiwpKVBvakj\ngm9YxbwDJfe0HYXIyZkQcsgbc0ecuO8kCWcPeV1rQzlCZrwhCEf2ONFKMKcvxB1pWdNw5LwI1xff\n+o+eAXu2xrRLeuDWcW5wHCZd6HqoDAM2trItwQ/Ys/vTQt+f0Fbj/A5cBlyB6+cTiOvo5Ojk7vC+\nTxIRUI/s5I4MqIN7o4WOSR8vpA9nF0WBomMmOGt/VgfS0S5GjSnVFkC6QPOmb7r9G2PR2n9HBabL\njVHo4jVw3d04tRnP4IHg/kgMoOUtVThnafFCSlaeMGaBZ8bJoon2LE1bHpMxYcQYuVv37NhwYM94\nwJyD1/nIkQkTbpiz58iOA/esjTVP2FKyRa2/V4xJKbjnyGv2PGKMg86T8pSMl5Q8UPGEhG9oODjP\nzDtWznPlHXdehb5DY9M5DHBrJwA+1X0jCAiQ/cASV9UCY48sdHGqJWiFtGOHCnutEzD7SPPvmkhB\nP3HkORogb1xLjHw+D2gwwJyYBwOcR2TGlqUtXzGipOaeHfIpj0mI2Jp1LSZmwZSE2FYlR5RpIU3f\n06ImaIF0kJoSUtQevUSph2LMKtaN7EF9YMeDMWJHiKgKskRjxbmGPvkwtqpB6JBTofpAxT3tYD/3\nDhBu7dpUTafXm8V+FwMtOGjAgdAsjQ0P2azmrrszMuVQgGQFHMHAWwA8cFY5u7fdAgIhcx8o5L7W\nDMdfhe3jgLJvoH05+EIGLse5HNwIGIObEUiTFqAldE/h/QVQhwtAH0GjDsd6DmD6dGv6L4QiQoEz\n0NVSiu5C9caMNUsaNNBphGNsxT3tH4qFsgctgaXpyxprmlmwpvTlvenLatuQxDEhZULGlNB9FfaT\nfW4yYM/ymR7ZUrIjY0zOmAU3ZqXasWVNzJ6CCQsWyCe7Y82ajIwJE3JS1uzZsKPkxNxGai7Zc8eW\nK8Y8oeDWdOZHaGjsmgoHPCHjNSd2NFwT80DDI2L2wDHyjFrHAU8KNJH0hQDAFpuhz60uwtafM+Wg\nJ7cyEEhXbiG1CaOhmy+2ICIcxLFKUmMD5AWOrTHkGY4VNSPzCTxQkuC4Iu9sblMyio4dN51UoUYd\nRa0GW5s8DroGRwMw3luLiSCtQOFXDuVKiBVLAVbZUBPTjxy47TRimSGvSBgRgPjEypqYWsJAtaRj\nwzHBAlqZpU3Xd7+SixnhSFDd5fgWEA4EZGYry0sWvLR7YhihG2TDq4H0aATJnxAAr8WA/ZHhKhin\n3gHd78aejVzhJVfityoU/JptHweUXQ7xb4A33cjbSfPnBT0MpB0j+/vkHUCtpRN+Zd+LwCQIge4E\n50JRrx0cc0DT1cIUlPCUvwTpYGg/2oWswTzOiiAyRF0BV8aiBdCK+tngbOEamxlNAC3Df82OkjvU\ncyWgH3GFZ2Hsedex56BNT7ihMaeqgj33ZryaGDgf2bNjywrFhc644srU5j1LKiZMuGbGniNbY81z\nJjxiypId9+yYU/CEsQHzgccGzBsqs4YlrKi5tltz6RrmPuYBz9zBsnWMIjgaA64NRMu2L/aF83kJ\nyqdK7CZO7Bke3BqtGgHSWPwsMk05iQTIhVPecQEcTEOeGiALwjxLToRBAA/GZm8oaE07jnDcMAF8\nV8Qboa5JFfCWtHhy1CZ/CcYFE3ID6ZItlUkiqZVmU3KUVLGmtu/JVzEnpB/KMzxkxNFAllDrseod\nKxr2hCYNNUstzNaWd/u1bLpr2G7C7wDhPZrceDD5Iuwv1R1bcXb5575BAHxvDPg4YMBO97C7AgNu\nAXCw5FS6/9lBe7S/D5i3+zBt1lkCnz/+IC/1C98+XvOIb8GNwQ3GAXRPyCFQn+vEAucC5wS450Ad\nns4GuL43JvZsegwURG5sX/e8C6R1oY5xFsUZ5I7W9lVzyn33s4mDTex2V3efhsHv3wLQ0w6gZZ/b\n28fOtD45ZFPGxp51c1fszfs8ZcyClmkHzhUHA+cpC24oOXBgx4p743ITcnK29qekZGrD6dfsWLJh\nQsENU5bsWXNgiucJBa8NmJ9Q0NCyouIxOSMiHqh5TMYrGhrUhnwwv3KN2om9G+ReWGHOOdOMrWnk\nEpTbVjJGY06L2MLq9UA0R4eDxKAkxlM5vb83JXaB64bJhpS3sS30HzgQm1yhImjFiJSZuVaOnIiJ\nuWYOeDasqWlISZmj6+5gZsIAxiMKEyFWVMauJTWN0WCEA3teGyt2pBSdG0JJyDtqdgaybwfiirsz\nWUIAPB6w4cauuZWRiDDbLyfiygjHaADCB3NS7DlnzjkRjwZSYWDBwb52BA4DDdiBy3SfnDHgIQAf\ngc0AgIfac2aYkBNWz7iPBFEfcftI8kUF1c/0dxd++TlExoijwSxwr4KeAPptQJ3pAnAjnCvAzVHj\nSc+KO5BmM2DTKWLRY2BM5ArgegDSB2MM0oF1kRYG0hMirom5Nj16b0XADa35l3uAnpAwfStAK8Vu\niuZJ3JBxZcC8NXljZbrzjBHX5MytSr9jzy0KlJlRMCdncgbOeWfaGlkJ6sCJkjEzFiyMM+9YsWTC\nlGvmbNix40BNwzUT1nZkS8tjCm7Zd4y5xnNPyQ1q915RMydiFbRloMCzw5E4b6KHyRbQuSYac19c\nMuWq0ffKGojNAof06Mj8yjXSk7GW6zjyNM6REvTkiA2Vmb88G2omJGZ308zDGRlr9jS0zClIiVjZ\nLOkxIwryTjeOiZgxIyXlwI6SwxtgvDO9OCJixJSMCXLx6rzJXZGQsyClQPLEngMrK3RBmGUeU6Cx\nZ0Ef3uNRhnNkK6/IwDJkS7TsBmw4NgAe2+egCR9Q68xuwIQjA+o5qrsMteAjmHwhEDYW7BKkAV8R\npMMegBsD4K0B8LlrQ/f81O5dY9DdsV6r6PZ7z81473aq4MW3H+zlfqHbD5088u8Bv43ukVfAX/Le\nf/3+A3NIPj1nxO1mcM6SDmh7oC76472BrT/2IN1pzJEdWwikGYFTocp7D64E04uHRUR5Bgo4A+kb\n0+D2g48d8BrZeTQMKGZObGFGAvKdgbSscQLo6QCgG9Opt1Q8UPFgbGhmjtip2aC2HXuOjcPlzMmY\nopnYWw7cGTjPDZzHndf5xIERMybMySnYsWHLCqXTCVy2bNmwoUAt23tidhx4oOWKKRERW7vJHzHm\nlj13HLlhxGsTVq7JuKOyhbcmOqfeUTtP7B2t8zjvqF1f3IsdnIIDo1XBzre9nHGqxKC96+/VFvG4\n1EnCqCPwTq+YODktCiRfTIEdded0DYCcgE1pSayjUd2XN0yoqVmyISbimjmetvMaF/bnxJGVuSly\nW314GhOFAhjPyE3WOLGmYq+f0Yq3CSNaKio2xopbNOtjQWKjxiRvLTtpogfiiQGxs1rGEtk8g/si\nMzYswNa1XeHZGKgf7TcZCnk3hOL3OQirSIgfNHS5zHTgAij6IpxXAwh+Be3BAHjoPw4AHGpGlwBc\n6v71R2gNE7r3/FP3xR93+6ve+38HwDn3bwD/LvDeySMAxFPgQrrwZb+s8SW02wFQZwM2XejjjFFX\nuoD80T7f9d8zqcOF49wIR2hYscIh+wsmPTIWbVPYXNCXT7bvdsCik45BO8YkluamZeHOmPQWMZcJ\nkckbCTOUu7GlYUfDK5M3piRMjT0vrPC35chrIls8p1YcrNlTsuHArVmm5oy5ImPMkTV7y4ArmDPn\nmqN5L1acmDBnwcL48YGaihlzEmJW7Hhgw5U12GxtKf7IGPOKkhsybs3TPCZmTc2MhCWKvtyaM+Lk\nsd+Hk1vC2q09lnvhB519ru/k0++bboRU8CU35kfOnYaXJnhaky0q15KDNU3D2NiyBnzBhpM5gCOW\n7EmIWDC2Bma1pk8oOBo7ToiZscABG5Y01J1O73AcWXPigDsD44aSlYGx62oBESkNR468puEIuM4i\nGTOy1ZSmLIZiXSgWR1YwFBA/XABxQcTc9gmj0w603J7tp+t0NljxDeWIB1r2FyCcGwsOIGzxfYEU\ntaueGNF27yFStDDwzuVnhJ4BdwB8tLpSKADGEOUQXfUA/oHcF1kKnz/7IC/1C99+6OSR4dQrVUa+\nz9aWcPj7BrIGtNFIIHspXXQnz8C27i1uHYN2I32OJF10x3IEv7djl+CD8yI37WpsQH2N49qY9BGM\nEUuTvgcX471AFybmlb4yFr3tQNqbdOFsqpsAejwA6O1A4tDQeI09vSbhalAcXFGzImaMJrjNSZnR\nWLtHyR2OxKxSeo+qS2J4TYJiSKc85sSeIxu23BECPlOyjjXnFEyYGmvesGTJnDlXTFmx5YE115a5\nsTPt9IoRDxwpqZmTdpNMDkhDThEoJkR4p/5oj9hwFml6SB26+exUNchr7JwscMEy15gGHRmYJyZV\neAe186QROOdxTpClADk9Ohco4W00AOQJqckXe9TTOWJtvuMpYzISNjajOrDjYczqlDkpOaW5X4BO\nppAPpwfjzFY9ziSKkjtaKuRJnpMwNVZccuK288vrwXtDTBjOUNOyomXbyQ0C4oUVmsOkHsltWs1J\neZcksTAQDs0ZDdKEd8DeajmICbsFoe5yBsJ+LxZMYMJhyyUZdoRnACm+hnZ3fg93EBHZPX89IFsD\nAO4kjOF7/XpsP1hTds79+8C/DKyAf/L7HZRCPNcvvFlBbenTLupP0DuBurYTfLDjBw0nLjUGPWDS\nVtAjLMu8sYEhSLvCAHqM5I4CxyPTpHd2ke/x5g7x5uhQ16EeBOGmEDjvxLqJTX+e2nJSS1qx5w0N\n9zTcI4vdjMjsbWLPGxq2lOzN1zwnYULCxFwZK0rucazJTNJIGVunoBIcMqZd19eRNUe2VBwpWDDn\nutOaGyozz12xZs2KFTNmXDFjyYYHNlwzs0fQkStrgdhy4gpNX95QMSNlTc2EmLWDzIekNs30S52j\n8tKCg4wROf279RBilIPzwkeWDOcgshCiCsij4FE2/u181zwyBkpaJkTsqDvTVmDIki8OJiRkLM3H\nfsUMNYYscTjmzIlwbBRYSm6tOTUVG25pqcmsqOpwlJ1Mgf3ep0BEbWGpngYlZwtsAZOvNgbUrisQ\nSwEP18nWpDYV6mIeEZ2NTAv77Al2uX7VNhmw4SOK89/1oOpiYGLX/RgXANW3dn/tOQdhZwToxu6r\n0QULttVta7KHrwfH5RAvegL1NgBuViJs3WrZi7R9gO1UwYtv3r/fL8PmvP9ucuuc+zvA87d86/e8\n939rsN/vAiPv/V95x+v8DvA7AF988cU/8tOf/rT/ZmtPxPARTgjowukAurAn6iDfsdOkDroY2r7a\nrOXQeADS+flxHAyk94MLLzIWPbGPZHCI2kZlvyvt5wutolNzhPAGQFvar91MM0I/vzfwlbRRo7GZ\nc3N6xLac3VKzwVMj8/+c2NLsAji3VMauFiRm7SrN16pmb3leK0orKDWMmDGyTI2d+W2nLIiIO6Y4\nZUZEzNKynBfMWHPgRMM1464b7hoF40+ICdFOLZFao4loW0fdOnzjqBpHXUNTacaer+B0UJkoj+A3\nn0N5gp/dSvZoYilXcSZ7XPicJJ488vioJYk8MS2Jk+siQekPDZ4ZKRtKFKjq2KCxWYU5TsL/S6l8\nB/O9zOx3tTUld0ZC2kkVSnCbE5PZCkUac8qYjDkaCybAFRjnpMxIKFCDyIaGjRX9tGKKu0k4pa2m\nQmStisG6dtJ3XFvxAITHA214D2G/AJBuZNfrRH0B3cV9HNwLQcIwEHbjAQgPteBDD8DtQMJwid1v\nQWocaMgAbXVxvx8H9/uQmOmzi/P/9YfmUfz5f+gn/r/7H/7ovft98an7we/1Q7f3gvL3fiHnvgD+\n0Hv/596370/+4T/v/+h/+Z/0S49HEF0kQQ2XLq2d8HYwraCTPIwVRxe6U3saXDD7wRM77pl3NL54\nWtsSze/00Xklc4gCQPfFRu9rdMFvdRyAS1UIYdZd8LqJtng2xni8cbc5/dxB3WgNa9vHmfa8ICJH\n01CCxanCWYNvbCytZs+JFZ7auruuiEit0UR5CSljcuaA42DgkljbiX5CgfXYoiA3rKmomTIlJukK\nYHOmPLDDAwvG3HFECbsxW2qmpKxpyAygnRc79k1E1UZUtaNpoDlBVQEnqI6QtspA/gc+gd0BvnmA\nTQ1kdrozGGXSBknARS1p7Emjlsh5zePDm2vCcaRhQcLWuvTG1hQSon/WpieruLnjRNU1gQTPcSiI\nKgs7FPcm5FaIDb9bDeaa40jOmLGKs3Ozu1XUrAn53qGwG1PY+d3SsrYaRzj/IXYfvHmNPVswu5wz\nsMaaUJQZYaSBna5pFxHqIgLiIEk0dq3bNd8RGZP2ogmynL4FhNtAYgbFuI74XEoY/uI+PgzkEseb\nK+M3scBF0Q8Gyp/85Cf+j/7o/aDs3McH5R/qvviz3vv/2/7528D/9b0ProayQ9SflHg0eErmYMFC\n+Pb85DYbqK3pwyW6GOIA0uZzjMOx1eBi2ve6tEsNnCcG1IPioz/ZRbuF9gG4R96sKbgJzk3AXeG4\nQp5SA17ToeXmmKMUPAG1PKEbPGuUJ32LJsHN7SacoHFX644tOQpirojNXheCZCruqVmTckXChJjC\nrHRrDrwkZUbKnDFPLVtDEZAjrhhzRULOgRVbbhlzzZxrtqzYsaGgZcacDRu2bJkyZcGUJVs27Fkw\n5t6atxfkLDkyIyHCUdGQ4gjpaOCJXMTJIcXXaUHdOEkTtVnhhhGedSNLXGWShkfNIm1k+RZ4kuC8\ncIDp2ALkiKN5kffUCJJiVhzISQaAHDNnzJYNNQ1Ta5vesMTTMGZKzmjwAEspLAvlyEO3Cil4RMLI\nujTv8FRofswNsbkshnqxJIo5aoeuqblHjRoNYsVDeaJBrcxr05KdMeGZseIAxKpVCFw9OI1sVQ/A\neGBTK604tx2sDOPBqnBskoZt7RGa/UBPDidpBPGV3TvFxcq1gWYLzaG/V8PmUognPaFy2TmD9q2O\nawKLLs9/nl+T7Ydqyr/vnPsH0brlp3xf50WUweS3TLYwDak5QvWgOxEEtLGdvADU8VgfYQvHtgdd\nPE0A29iOG/cgHZuODcak9ypCNBsIHX2uEEOIJjrGZcC1sWgDaB8cGs4AemoAvcCxGAD0Gu9vgVvT\noANAhyLh0ZjRhoa1secFjhkJj/Fcm+68puYb0xMDOBcGzg+cuCViRcK1LZHHnFiZ3WpPZv7mhIIj\nDxy4Q3HsC2JS9jyw5Y6COVOu2LPhYIloc+asWbNly4wZM8bWlh0xp2DFHg3bitlyYkrGmgplDrck\nhDgbb8U5R+w8pXMq8Bkwtx7ils6nXNXyJ4f85NwaS0KxsI48EZ7MNGV1cbfEOCqzwUmTbZmTs+FA\nivop1+zMUTFmw4aWhnnXHCI9eca1/fuOlpoRU3KmFhC0wuPJmJExw1N3bgpHSs5jk5DOwVhuG7Fp\nxcO+skKbJ9gqI7QS8xxQIlv4fk7EEysex500ITDfGiNOrEg3Myuobf4gkPRbOheGG0H0yIB40DHn\na9N196YnB0abfwcI11Bve+kwrGidSR/pzUB2vADY9gR1uH8NhMM2vP8/wHaq4MVXH+SlfuHbD3Vf\n/HM/54GAhzjXR+eY8AOQtqdsHfKQnYFr0X9csum26i+OZq+LEQykDdCjsS2RMl1o3os1tDsD6Vt9\nuETMOTIGEYntdlp0u+lBugPo2QVA18DaAPpb4BXexkQ5V5gN6rEx5xWeV8AdETo+5oqIhYHzippv\nUdi/ikWBHdesOPEK5XFck3NDwpQT95TcUlOguddPOFmkfcOJgmumPGLPkgNrWhompoke0RijGTMD\n5g1zFoQA/Zm5breUzC0USclpjpqG2GQZXITzKvRl9IDc0JuoWt9xMECAPMxQDuOfEgeJMxCO9JoJ\n/RD6BMHOiIgDlWUgHw1ocwPkiBkFW9a0eOY2smvPloSEKQv+//beLEa2bUvP+ubqo8+IyMjM3Z17\nSzYvpbIlS6Uylh+wsIECW5TEk7FAMn7wi5FsqZCFXQ/mBQkJZBurQKhkLEBYGEQj2yXR2BJ+BBWU\nXVjGgErWPWd3ubOPPlY7eRhjrrUydu5zbrP3zd3kkNbOZq+IjIg157/++Y9/jFmQsmWBwaPPFB+f\nHVcU7HB9KQw+OXNyVoAhYkygDgxZxSz1NQ0IdHMGKYu+0KSch6f+dtGKKypuqJjru/B0HLRyEDbF\ncoVlIYzUeMqIB5qs0zlkN834dPWPpgtmcjtPYq3OFx37dZ4kaJGTPfZsCyjWAtrlhrqaz3gCoOFI\n5ua+jmwrKJRxu7ldF6HoSjmatlbJX14ln4v7eedVCovfFnD0Ewg6jbbsq4QR6i6HVXEbpPMbYdSg\n57cZcaj6smPELdniFpPWZZTfa+nSHeCQ2sZTraFcqLvDUzAfNCDtd4FjnQCOQS/lXNMHb6gTZYJh\ngpj25ypxLFTeOABtR+pxgFiabqi4Aq4xDPE4qJN/shX7DQWnypwFfEXWWFAwJ+WVOjUOSDgmZ0mu\nkkbERBlyzI5rNpyTMKbHhC0LUtaqK8syfassb8iQOXOWLBgwpKBkyYYD+mRq9uqpG6NLyIqSCMOO\nSpwXSFeRXau82rjdp1EZo+Vbzgr9HVIkUoHs3add4SIsnrJkkS8qApVOEpUvYnxKSkosIzos2SAQ\nJpKFxWqzph1u04AuA3YstZeI7C5ekbHmUvXkEZEy5owLLAWBNpwCr74G0qazT8hImfGOgjPNF/j4\nTFrJ3EL9xAug0hXTEfVGv7bCMseinmCMymdDRCN20sQWqkULiD0F4L5+dS6JSuZBtWqxYaMry5kS\nkHYCsIJyLfOnWreYsJsTBzr/9lwSVaFShAPhFgv2YggGrVXwHTmlMhX2/J4iCuHZk/f2dB807geU\nvQjiqXzoxRpytTsbo6Ds2HAid0yvD4HTem0D0qX6lvN587wOpP3uHSCtpZvlurHiGR2QngNp1aL9\nUYt1rGUQF8KK7gRoO0MYtE6McgEE4A2FORvtYmdnYJYy0ewZmAuwA2CMMVI6K1vriJZYMlfdeVz7\nmoU536is0SVgomW5PXJuNKG0IWSiXuYOqbLmkh4RB3Q5YscVW67qUm0Pny0L1lzTQ26KW3UoCDDf\n1FLGNUtWbBiQ1HqtV7Nk2VwWTWMajGjIxmKNxRojzNjJF1DvaF1VoikXpXx8FWA92am6MqIj5570\navaxmIZv46mWDdKxd01Gn4StNv0Z0mfFShnykBTpdy0tN/t1S00nVzQ7xYR0GOPhk3JFwRpDSMIR\nPnFdBi2JVlmtyI7QaYsZ+6oXu+RuSsm5JuXQpN0BxiX2bIrlBiloqpBCjiNEnnDJukzGW7VAbmHN\nik2AuFXyXM5bQGyRpHdPV4Pd25JElcocqZTZOl3J60A41Lm11yioKhS4dZVatfph+B1lwTqn238L\noCpbAK5SpjMg+A8VfT+dMB4k0+bnKleA1ouSXYNrJuRFyqQ78tULG9CGRvIodTDcAum4AWi/I8/l\nRRAcNEu3Ullxfi6HCaXa0O/rUkqXcRwp614pQJ9yG6D7LYC2Km0soHIFKB0F50FL3pCWiFKDM8fS\nw9TgfIRlgtUlbclSwXnSYs4LSq7JeaFL4TERh5T0yLlWSUOKUxKOcHsLlmQkTOlwiOxfvVTtdIzB\nY8ONArNsVbXTirUBQxbM2bBhSI85KypKYkJly7H2mgjY1hqvFHZUVsFYfctgKJ1sYZtdriuriT6r\nu5EgG6EWQMdYfE98ySWV9L0AZBdFaTmVU9ElYENGD9DgiAAAIABJREFUQog0+Slrl4VoyCMyZAMA\n2TSry5rLepUQErHlkpJUXSsHVKRsOcdSakXlECjJOKNkiyEk4kjdFLlqxlLFeRuMd5RctSQMSRYb\nAqy1mgi+EeaLUWnioLZbSsu8G+qqOFAAnu0x4lIYcbnU50LH9oECcVt3tkpUVvLVuZU81ZLdivKW\nHFHq6nOjTLjFoP2uzDEnMbYfB8KCixYIOwA3KlGGo2bF7L+fPfqyDJ4/fy9P9cHjnuSLAtK5gm3U\nMNpQSnplkCgbLraQryBzQBs0oBx01biqF5BxC6R1wNRyh2mx6J7q2U6GmKnUsdbBeQPFtWhpfk8B\nuiV1MNME41KOQvon4PUlmej1hK0wkAFuF5r1PgXOwQzBk4lmOMEyA24UoF8ovEwwZoDhEMMYy7WC\n86oFziM8+lp2u6BirXqzNDIvlDVXbAmZEql0kXLJljNixiSM8QhIWbClosOELge3gLmiYsuaPj5d\neqxZExKSELNhx5AeNxRUNUuuXMkCHoZSFWPfCHgWypQrT90XUAvMadZsllrR7CxSGdcRTnYXcSq0\n20bXB+3g5lFS4BpNrtnSo0NOSkHBgAE5OwXkLjEJK5UnevVN6Rxp1zkmoFPfzIQdH+ITaeXlNeJP\nFokJrLopZKyK9HRwBxj7SM+JkSbuKizXWK5lvJgQY2bAsMWKtwrGK33vMXgzGUvtyrtyruPS2TQj\n8KcKxG1ZwrkklD1b20gSTtrbt7YVDoTXjRzhtORo1Kxu22FtA8Duq9OS3VyODpo5vA/gX2DcX5P7\njWvZ5EGgunLQke+N1/zsxlGZ6aDQC5u3nBZBtzm8sAXSEwX4baOLZeKIwAQQ6OCrpY4DZdFVw6DL\nFRQLHXw91cKcrSdBAFpli3IlE8IEyp5HwszNBLyJSiE3YG+gvBZm441Ve56CnYBZyAS1r7FcYpgg\nro1DDAdIGe2CkiUeYwwHBBxSMaDkkpJzKpYEHBIyxqdLxiUZZy2t+YSUi7rsN1Jw2HHDhgu6TFvA\nfEOXA6S+bMGAMREhG9YMGCEb36d0iViT0iHWSjqfrC5sEAlD3BjiTym1OZHbRQS1xmUFZKVoyDsL\nYSAujdAHPEvlVZTG1o0sW0W7iOJhSCkZkLBmS6RejJSMHj0qpKW89H+LWSM9UvpMsJRsOQc8uhzq\nZ3JORarasdgfU06pSG9JFdK/5AookOZTk/odl66SDh9phTkSoLYFlnPVi6WVrTHHkiwG+V11IweZ\nvEszknHlCj+sbfIflQK2CcGf6BhsA3EhK8lS3RKg546UeOyx4SqXeVCsVcaQRkb4mpTznUupzaCV\nULXnqpMivEiIV3vVux9l3qyYi93bUsePGVEEz569l6f64HE/oOzHMPy+fOjuAuwub/9/DdIdvaNq\nWRcuAZjLhS9UtnAg7YUNQPtd8FqgDap9KSOupQ6jS66+DrRAwNe5LapNwyrSpS7R+uAPqCsGvQ74\nR6o/a4KwvBbZwh/JBKnljUJsddUNlC8Q1jPekzaWkmm3p2CuwE4xZoDPDMsBFZeaEFzg6fLY4zEl\nC2Rjo5fKmkfEnJBzraw5JeKQhCMyrslZUFEQM6GDx5YrBebDGph3LOgzYsEVq/r7BRtW9NQmJ8XW\nwpLd5l7gdjiUzm5b9KPzLJkxtc3N2mbelpW4LnKx2zbaM9IJziiCV0b6mqGsvKIixidT+UR6HKMO\nkRUxMR6wZk1Eol3zLgFDjwkVGTuuVT+eIjstvsFSqZulp04XkdVCpkjHv5yc11i2mnw9wiNBNjs4\nw/VDEWZ80ALjC6ydy+dkBhgzbkkUWSNRUIm1zJyoVuxa5mWy+ioX4DqH+CPJYbT13hqItYcxqEQw\nVSDeq3Itt5I7KVtJPS+EYNisLPeBslA/swPith4cHbTcUnuWOJfQK5RFF7tGOmmTtS8s7s934kA2\nbjUQciBdbCFdQKo9MZyuHHQg7GryL5QlU6R2uJpJK0A7ucNPFJR7rcThSHSrWyx6Bamydy8RgA4G\nyryVUVvVlctFi0H7As6BTganR9fJlYXqz+cqbTj2PBUGbZdQXSPbY10gDVpGKl0MkGrAS2XOVyJn\nmB4+J0iTo3Mq3mBZ4DFTvblLwSUll1SsCZgRMaUkIeeSlNdEzIiVzeXM2VGScEiHKVsu2XBJlymJ\nOhI8fPqMWHLNjjV9+rq9VElIwIYdCQkbUmIidmqLy6iI8LUrs0elIO12DLGIjlwXlCHAXKDd5JAm\nRlYbD4XGIhvgirMixGnU4HbfCJCKvgFdNupLjolY604sHTqsucIBsuwCPccnpsME2fD2GunhdoQh\nqD3HUjI9VXY8V3Zs8Jnia3VkxTXSQdBiGCkg+3tgjDooJq0WmFvJQViVw8xAVm81WFsde/NGc/Z6\nCsT7iT0dn44RezGEhwrELZ3WVgqoTk9WN4avkkTQe9sdUaktrlAgdhV6XiTzKui+G4RrANbDrXW8\nUOa2c2MF7zfB96Apf1eUGazO5E4YdsAP5e4bduWAt++it3RlZcOhkyz8t5l0oc6OYg3plRy11NHT\nwdZm0TNhBoW6LLILOZx9J9DB7NiCWzYWi8bJ4Zwbgep8wQSYKNOeN+zZ62nCpaf68lCljSuozoEr\nBecDjOlj6CtzvsDal0hjzJl6nb9COohdUfJcJY0xIcdIU6NLZc2HWpYdkXFOypvanSGa8hU7zkiY\n1cC85YoOUypKdqyQrV776ukNiYnZsqFHnwUbDCVezY1BNGUokLadIEzXqJ2twuAZyJ2EgbgvpGeG\nYEyggIw6NyojjgvdiEj/rQjxKCjoELLTFpwZKRZLly5rFlqBN2CtgNljWgNyQELCpNaPfRJi7aed\ncoolJ2BEyIGy41dYdup+OVSpYkPJOZAjjaimGCLVjC+w2gDrLTCuVpLYtjvEFTEFc9DSinMdO8qK\nTQTBTJ097hzbAuK1/OxFyogHbwNxoSu/oqkCxO81kt5+f5ly2wBxqXqypxJgLR3uwcktEN7InKTF\nouPR7dXwflSV3AB+unFojGnXY/+atfbXfpov4P6YcrqAnWPCgbJgPQLVqYJEDu19TJHKxc03kLXZ\ncHwbpG89dqqWmw3kCtJO6gg6yoh7mnCMIJrIUemyr1i2ADpRgB6opNJmxSsp+87PobhQ/dl5OPWo\nK6bmkL/UJMxYJ5cD+x1Ul1BdANctcB6A7YOZK3P+GimaOcQzIwx9Zc1XGFZ4HLUSfue6lN7ic6hy\nxoXauHJCJoDRBOA5HWZ0mNTAnDChQrY46jNVd8KKPgdkZKQ1O86J9GtISI5qkPo1IKAwUvSBkUSf\nNdJbOdDKvsrKz5UnEkbPF1btXBegtjosgT670b8hBSslBmHLW2Qvwp12b+sxZKdl1G2GHNAhYUzG\nNQVr1Y/HyEa4F4CpnRXuRgfgM8PX8vmSU7W3BXg8kpJ5a9XWdiljxCVuazBeqjsnBULwjkQzriWK\njdzEq3YiecStrolVJuOudAUlvtzwgyF3+o2LZQuIA3U69IXZ3tKTy4bUFK6PhjLoZKZs+A42W+xk\nfjppsQbhBOIDnaN7VYEuyhxyR8J2Av7vyRL3I2jKF59074sfO/wIpr9TQDbfNhcic8k7TfRF3WYp\nY4x8DWJIHEi3BkB6A6m6LIIOhD05/EgYsTdo3B01i17B7hw4b5IQYV8GghdANJbjFkCfy+F3ZeAH\nfWXFIznakyRdSSIl0EliAgg0oVctZcIVb8BcyjLV16Wq/+QOcJ5KGa05ADsAc4W1N2BWYA8xZoTP\nCdLu8ZySF7psHhPwSB0aN1gyAo4JmWG41g50JSGHJByy44Id5yTMSBiz022puhyw4pKNJv4W5GxZ\nKwtd0yMkRcqfJeSrm3ohhpQK4bmeJPpc6bS9/X1hqXsvFxZCIxqyp95kkQUc967U4VGREJCT0SFm\nx46QEOnKltPXrbQKcrX6FTVDjjkg5Uq93UMiRhTMybnBIyJiBni1zc3QIWCGFIYsqbhAtG35vKXo\nY4PlTPRh08WYWdOVrVrJtSVFOi619OJaorhGKux8cU/4I25V4pVLWZ1VO7WS9WT8ed2WjGFbQOyS\ngIEUZgWDt50SVS4r0mKlgIrMg3DQMOK3PMaFkJ18T8rw4+8G4SJTAN7K4x0rNqonx9MHTfmn/9cV\nZDsqOZSFXly9UOtz+X0bpMNuozfVbHjSLJXytRzbczlMAFFfAPpOFp0rg15CeimHs+eFgzsAOtNB\nvoD0FFKj7HmoS7gIohnYQ2XPNw179ocC0F4s3/tDZUNXSHn3tfpCx3vgfA7VGQLOM4zXB2bACMsb\nrBVN2XCMZ3oYEq0Su8KwxuOEgAkVCQVn5LxUYHaa8jWWMyJmLWC+IGFGxKAuoOgyYsUVKRu69Fmz\nJCLWMuSUmJCUnJiQjBKjGrKPNL8Xj7LBqAzheYYcYculAnNRClMuAQwUHuBDZSwYqRDUVu0AeArN\nPoaSHB+fSjv8xURsWBKTYCnr7bEMsOUa2allTMYVJVtCRoQMyLikZIVPl5BD0GQe5Jo8PVB2/BrZ\nhTDG41ilioKKM7GumRBjnrTcFFu5lnaHgPEjIQugAHojY8EWKlEc6yrKMedcxpNjxV4E4ayRy1yU\nOxmfxbJhz+FIgXgP5EqV7PJlI0v4sQJiT+dJK/bnWe1PDhoi5CTF/XAgnOlqt9ai71gpv+cQTbn8\n7hM/grgfUC4yWJy2LoLqXX4gQOUq8MpCB8BGLuRaN0w1voBz1NPkQCADt9akZ607+LqVNDTNwAn7\nyqBDuaPHB7pkWwlbcDp0zaAHLYljKke5E1bsQNoLlTEPGwdHMBBPp5tMxVxZ9lidHiptVDsF50sF\n50mLOT9TV8c5VK/AdgWcTYzhGdJF7FwljSkwxjfHVHSVNT/H4wjZ5eQxOW8oeI3PIQFDwCNX21zE\nETFTUi5JuSTmkIqclDkdDknos2NFjxi3gWiHAStWhESon0JVZC2FxqfS7wzCeN1O1u53rv9F7qr5\nEAkj9G47Lyp1YrjGqI4t+1pW3cEnZUdXdwzxkB0M11wTkhAS1ZvOOsmiZEvEAQF9cs4p2RIwJGRM\nxZqCc0R+eYRHR7XjM6BU54tuLWavVaqwGHOIVGkadVOcawIvAO9YcgnGqO1tDsUVohd3IDwW5uui\n3IhvvlwrK+5TF2e4sKVUxhZzBUqj0py6JvatbvlyD4gTkSXC/ttWtarUubSSuehkqaAjurBbke6H\nI1nucEzYC3TuOofVOwpEikz+9hcW91TRZyBdw86VV/sQqbMi7ECod0o/kCRFrGyifZGzdSN3+JFe\nZL3QxsiFj0dy1Hf3FWQKurzRu3NfJYtQQNo5OmqAbjFoP5Yy03CoyUX1Q0dHCsxz1Z8vZUKEraqm\n6FjYc6FJwfSlJhHHmohJwHushS+XDXMOJiJtuJJuO5elb/k1mLHKGkOwPaw5k850ZgX2BM8MlDWf\nUnEKjPGYEvKYgjNNSpUE2usi46IFzGNSrsi4JmHMhnN2XNFhVjfL7zBmxQ0lGYHa0CJCcgp8PEos\nPh55DchqlTNyVK7MWvOCVl0XhZXkXqk9MjzP4ilL1o2lqJBSalOXV4s3uiBTtlziGixtWeARkNBn\nyyWyn96EnDklGwXkHhlnVOwImRAwUHfFJYaYgGPk5nKpzooQn6cYYqzNsJwKAzY9jDkS3dhWch2t\nEgLvUK5ZLVNcN2DsdUWmcJV2tURxTd3CMpzKTb9d1FFsdEypPOElEB8LGbhVOl20gFitcUEHkiMF\n4j0oKFXKyFtShgkgGug8u0PKsFaliLXMz9KxaEeiut8OwrmTMzey84Et7wb7HyNEU/402oDek6Yc\nwux3yJ3QacrZRjRYuA3SUfdtJp0oky7SBqC3N7BVTTnsQqySxT6L7h7p43TAOZnDT2RwRoM7ALo1\noHfncgS9xjJkTAPWVSbeZ7d89CIIx80SM5wIEJdLmZDZqWjK4UQtc7GC804mdHEO5gb8QwFvcyD6\nY3UB9lqexzvGeD0Mj7D0sZwpaz7CmBEeTzUJeI0lVTnjhJJzrTKrCJgQgQLzORFHhBTkLPAISZiw\n4ZyUG7qMWHJBzpaIDilbOvRZsyFAeLLTeR0flu2OWizaQImUXpee4LRFikdKwPrgeZBjSYxIHB4Q\nKDt2z4P+LasShpRZd9ixJqZDyQ5LRZcxKTf6/Uw9x2vdK88BckrIFJ8ehRbhSCHIDLkRvEL8yEOk\nlaYRdmwvwHgYc6LOCjSJdw4UkrzzDhuJoVwoWBfvAOM55CpjeJHc0P2WjGErGV/5jYw346tOPLyd\nGLNWnUQLTe4h/5/MZOX3FhBnQnTy1W0pI5mqLLEnZYCAd6YgnLu+GkbIUTK6LTfuR67zN982IAy6\neu01K+kvLO5ZU47k6Divse4N5OQKB9Je0OjJca/Rq2pNeix0q9g2A2SlnmM/bgA6TPYeN20YQbaE\n3YUcfiLgHOnA9QKIx3KUmSwT8wVsXukNZKhZbJU34hlEh83ESd8Igw5GoksbXzXooejO+RVkb8Bc\ntcA5Ae+paM7FORSvRXMMjlSTPgY7gvINVC8l+ecdqUujgzWnqjVvMBzjmyMqYiouKHmOz2MCjijw\nqLRIWqoALTmX5FwQMaOiIONGE38jdtxQatMescmNydhRKFtudF2hv1a13xApt7ZY1YctZcur7OoN\n8pK6z7IxCBL7VjZg1Wfwca4Ll1SsCPAp1fVRkOLhEeCxZUXCgIqd9vwYY8nIWRDQI2RIxpu6qEY8\n3mdY1ngcEDBBmge9RuSKIzyGqh2fipXR9DAcyx53Nofqjf5eVz/OZ+yupU3ld+FJ46SwVlZQxZXq\nxR0F45aMUeXSMqBYCDB7CcQnyopb8kSxE2KQazMjL4B4os2E9pinA+Js2ejDQQc6s2YF2Q5r5fmz\n1W027EeSG3Lk565y6TKXee2OWyDcFwCOOm//zfcQWWZ5/jz77hM/grhHTfkC4q4ApafLID+ETggd\npym3LqKTO5YIoDqAruUKTySMqNf8jXwtwL65BC4V3Pua+NPH+aEk1pKx/j1lxI5BB10B3agvyzU/\nEtYaT9WeN4dMnR9BV9lzX9mzFqmUW23gfyVfw6E2/241PyrXkF8KOHvX4tIItGIw+p56oS8g/1oy\n8f6h6s1fice1uhLt0TvGeH0MT5GKwAusScE+VutcSMkpJS8UmA8pMFTMdZfAQ6Ak191NYsbsyEm5\nJOGEgISUBV2mZPikrEjosmVNTJctOwXnEoPsGxLgkSk8e0YyelVLVy4tcqYVUC5Vsiy1O5z0lxAt\nWhRkq8XT4oN2+nWJNETNKOjSJ2VJQKiJyDkhPTwtnZatmg7ItYxaALlDwalaB6UYRLZpegP4Lbli\ng+U12ErLol0/72t1yxixt3mawLY5FGeSFzAhBI9k1QNvg7HflWvf1ovd+HFdCoOBSmPtyr1KGHE+\nF5Zr9LxIE9DtqAoF4kXDiIMOxEcyzvcZdFUpUVIgdgUmYQeSA5lzdwGpe1y6ljnsGg95gc7d7reD\ncFWKZPmFxXsBZWPMLwP/ATCzst3Gd8f6GtZSDUUYCxOO9SK5u6wfCot2TDrfNSDt5ArjyWMdIPv6\nlmoWPpaLm61lUO3m4o82vtydo35zZ/dD6EzkqBnEAjansDHKnofN+S5pWBXCnLM5bF6rjWgkJaae\nT11mWmUKzjp5goG2NIyoqwbLFeQXkL0WPTGc6eO1VNslAsuVsGZ/gFQH9qE81UTgSBOBEyDB8hrL\nN2BPMKaPz1NKXlHyEp8TAqYUoMBsCLTMuGCJ7KYxZcsZKZdETCg5I2VBwoANN0Qkqu4WtVeYlt5b\n1D0qPKQHhgKpJxqyA2aLJPkKizayB4zFmEq2fsJZ7BqfsljRPLX1hTVjr/Q2IIxeyqdD+qS8wRAQ\nMyWvXReTFiDvav+x9La+UHfFY63Ku8TaSzARxjzDmEjZ8am4K0xPE3mBShFXcmBUgho347tYyLW2\nxd1gXKzlRl5uG+krPLgNmmUqpMCxYj8WnTga3tZ8baWguhAyAQLqnVmzImxH5c5XIEYLTNw8C3sN\nmWpHnrbkDC0WMZ6y4PFtOXI/qhJSx6S3QqzekxMjigzPnr0fffpDx08MysaYZ8A/D3zzw//VCI5/\nh1w0dxHaIB11FKC7ELXYQJjI0Zvs3YXXjdQRqFwRteQKzxcdOhm2HreUYzdvAfRA/ibocmwqR76V\nwexA2gtl0MejlrwxkSNfK3O+hOxKgDceq7UukiRMOFXmM4fNcg+clTm7CZs+l5/Dmbo7tJKreCOS\nRrUQ65SJlTVfKmvegv9Ymh3Z72F5hbWvgBnGjBWYX1LyWjXmKQUW6UTnE6iXV9jyScvLuyZWGSPE\nEhCSsiGmy44NIQkpGQEhuZY9O1W59luYRle2Bm1bJLHLoTCQ+BB4UBiLbxwbrvCxNTC7ZzU1e4ac\nipiElCUJfXLWCs4HZFxhgQ5T7Tm91j7U/RYgH+HTV0vhjVbmnQi756U4KMxQ5Qojn391puPsRK4N\nqFTxRgDbG8h1cwm6ci3XtkpFgohOuLXNWbGSZHGVymPiI81JtEAwX0mL22LbYsUHb+u+7bFLJWMo\nmWruZL98WoE4XTb6sBeINtxeXbbD2kZqzNaNwyKIoasgfNfj6r+31Tm8lVwPKNHqyIo56r79uM88\n3gdT/kvAnwX+5o/0KM8T4I1doyC9QNlGgHqphNvzGxYdt5iw5wmQxtr8vn2HXl/K4QXNOW2Zw/3O\nWgX0FkB7gbg94mFzl3YJh+6R2uXm0kBpdym6m7MFQcOey0wZzFyYcdATcHblqPFMKgeza1m+bpYy\n8aIpTQOYgSxriysZuMFE3RgxRF9p9v4Csh8oax6CORSXRvlaHBreMcYbgn2mOvM50nHsCN88peKl\nOjNOVMqotJ+DT8iUilMyzol5hE+XnCUdjvCJSJkTc8CaG1wze6g0EVfVgGmQzVJFaqhqr7KlojK+\nQLcVMpeXAreVlmMbTyr4vJbFzmnK+jBNVIrzIiSiZIfsr+2xY0fMkIotFSkxUywZBXN8egSMKHij\nksUMn37dSEi25JphbY7lJdhcnRWuk+AbsAuxsXknIk3YSqWKhXiNw6eNblxl4lkvVcaIHgmYuijW\nknuoUr2B7+nFTqLIrkUK8EJN2g1v+4KrUs5LnT3OU9lu9HbizNoGiB0j9gLRh6NBQ2zaUZUNCKeO\nRb9jxbof2a6RMzJXdq1EbHCoIH5HD+afMERTfn87mXzI+El3s/4l4KW19rfMd3yIxpg/CfxJgO8/\newq7DcStO6jnQdKTA5qlTLqWrztXGh0JOMe921JHGMvRm+hjVa7YzkXqML4+TtmwUVHzFkDr4HTS\niB8Lu44GjYvDJQDLXOSKdC5A7fzOkbPLRdA5Eu05n4vmvH6h5aaazTY+xIeyrMuuJClYLFX6mN62\nQWXnojkXC00AdWUp7PUhP4XiVCrFgmMBZf97UL3WZXWK8Q4x5hGWUHbcNiXGPsIzT2pgNjzSLnQl\nJRcYHhExI+U1GRfEHLIlJeWKiAlbzqnICInJ2BCRkJESEFKgWxIB1M4IYbalWtsK7XlhK0nslVrN\nhy+WuBwYaiMi57oQKIew9bzOgVFgtQlSTochqRa9eISknBPQ0z4fr+vGQrL7x0Z7gwwoeYNliccE\njwnW7gSQQQtBuuI7Ll8BGXhTOUDZ8anKERNxVTgvcnElchRGCz4OWjKGtpStdjqO9sC4KuUGn92o\n7pxA97DJXbgoduLHz5aA1fOOZbzu29dy1/SrlQxMRkJG7gLishAgTpfyWFDwHt0mPXc+bt2siJ3v\nOEygN35bstwPlwH+guI7QdkY83eBkzv+61eAP49IF98Z2tTj1wB+/nf/nOXihYJcBxKnJ7cGg+dD\nZyAHiL600zvz+kbkDuM1AJ20XBmeL0ufzrDFhldy7LQ3cty/A6DVE12Vyp4XUlW4PhcQTUbCAmr9\n+VCWgvlKJsP2HLYXAszJmLrEO54o8M6F5WxeNlVToZZpxzOxzuWXCs4LAeTwQJewj6AcQX4G6Qth\n0uFMGdezhjXnX0siyeuoe0Otc1UK3iMtagiw9gxrXmLs4xqYS041+XdMzksK3hDymJCJ6q9rIsak\nXKift0vGmpgDclKClh/CFYVIs6CAnYKqgwbjyQnGE7kiQHNelST4CpUw8azUBZqmtNpouXag6T1f\nnReBOi98QqDAUqpscY0hqJ0WBp+IQ9WMV/iM8Rm2AFkKQqxdi+RjAgxPRD+uVnKjw4D/VG6A1kJ5\nLu4YE0H4FXX7zHItyVtbtK6ZjtMqg9Qx50D9xe0KvkLGS6b9loOejKV26bG1AsLpjfqPPVm5RaO3\n9dgy154zC2HaRhl0/A6ZoCx0BbkUwAcZ092JzJPwHXqvY8Op05VpkntxT+b6XRV/AKUjYxtIt+C/\nH2+xaMp33Gw+wvhOULbW/qG7fm+M+V3AzwCOJT8FftMY8wvW2tNvfdIogenj5oOft6SKuNuAdNDK\nygYR9CPoq/2tdmSsZdDMUS26D0m/eexbbNjpyQ6gfUgUjKNO8zo6B3IUmTKKBSxf6eAaCkD74W32\nXKTKVDTpF/QgmTQsIj6QyeIKUjavbjNnTydmOJbJmp2L7hzN5Ln8Lnjfg+KyqfCKjlWHHgtAFK8h\nfy5JpWAC/gyqWGxa5XPwn8jyGw9rTxWYn+CZx5S8oOQ1Pk8IOSbnFQVvCHiizXmuVcaQ3ThijsjZ\nUrIjIKJgR0CI2/mj8Q47bVmEjEBlCGss1lO1WJlyXkIZQqyNiAoqvBqQ29KFJA89lUaqmi0XdBiQ\nMSekS8kWS0HCke4UUhBzrBa5a/Uhj5UxO4Y8xtql9rKOFJAD0eqri5bVLdCy+9dic/MP5PM2Rhht\ndqY+8khunPUWZqVoxvmNAuNMb75tZnylzNiKpzie3taAq1JWaelN42fuHMnY3O/w5hLcuSb4wi50\np+q0uGO/vN3yNiMOYugdyhy6K0lnbQPCu1VZ6p/dAAATH0lEQVTDhp0kEffeDeDWCgakG5nLuetA\np7qyWzl/QfFjyxfW2n8IHLmfjTE/AH7+h3ZfdPpyQHN33OkyZ9uSKpyk8ZbUoeA7orkz71awPJcj\niJtz3IAwprlbOwa9WzYSh6d2vHjQDL4gguBQBnHuXB9XcoQ91d504ASxyAedQ22QdAOr55rldpKF\nUQfHoAXOL9WSNJNEjRdB54lqjOeweylL1ehInR1aSJKdQvpKGZj6l8OvJMFUXoDdQaDJJxNC+bIF\nzEPASJ9m8xJjn+KbJwrMr/B5pj7mU0ouVF9+Rc4FITNKdhQsiXSD0YgRW5YKzhZPq+okhVcpc/bE\nxmYsFRWe8yh7kuyzFrJS9GTPA+tXWnDS2N7EdWFqkDYttlyRERBRkarLIyHlom5GLw2HDgBDyTmG\nBJ8ZFVdY5ngcqGSxUEDuCCBjxNliF0ir1WO5juVSPmsMhE+oS6PLlbBjKpWfJs3YzW8EkG0pQOxk\nKhA2nDowrkQrjie3wbjMRQpLtUF+0IXkhLrlbfu83VwOW8q46U4FtPctaFWlc2GhujINECeDd9jd\nSp2vK/nqdOW4J3Pu29hwnjVzPXVbURkha6NDtcq+X105yyqeP9+8t+f7kHG/xSMufB+6AzmguWg7\nlSpW13KBHEAne4mEKJFjMIUiF3BOV7C6lCOI5C7fGewBtDLoqmqYs0sShh3Rk+OBIIQxTRKj1D0G\ntzeweKlgPpYB73nKtKfCklPVk1cvm+qoqH8bnLO5gPP6G/k5OdRkn7Lj/FomcvkDKUoJtalR/JWw\nZmebih/Jsjl8BGUihQr5NwIYpiPujPJFC5jl8xZgfoWxj/HNI0peUvEajyd4HKgLoUPIhIwLLFtC\nBsqWD9X8luETYJUlQ1V/RbXesk7LGTCNrlx3X64gV49y5asrQ9t1RjTaYkVJpGlDpzNLBWFJTELG\nkpghOXMMPgFdct7gEePTJ+cV4BNwjGWhjZsGeBy2ALmL4bGw8uqlFIM4/dhaSeaVN/K5ho/UAleJ\nvFQsGleF62Nc7iA9E93Y74qjwv2fterYUa/yXcy4zGB3JaswdHUWj9+WKLKNWD4zdSNF/UZ2249s\nK2O+rSt/mzRRlTK3disBU5cU7I4EiN+lDVvbkK7dWuYoyLzsjWQ+R527LXZfYLw3ULbWfv+HPjlL\n4fQbkSmS7m0WDBBGcgzGb1/QrQ62MBamnfQhag2gIBSJoz9ukgzbpdjt1lfKvgfCiJ3E4XmNBl0W\nMlB3C1i+gdW5DNLOqEmA+Mo6OhNNJl7D+gw2FzIBknGTGEwOROPLljKp1q9gtwfOLkGYXsuydbUS\nDTqe6PJ2Iomf9EyOYikyhxcJa/Z6ypqfC6sPxypnxJC/huwbCB+LzlwD84sWMFdS/WdOtRfwERVv\nqLjA5xDLlpJLQp6odHFNxAkFa3KWhMqWA/qkbAiIKShAhQUPFZBxhdEWH0vlCdBqPYm07azQjVIt\nxrd4HtrOiJodgxQ9h/qcwpYLfEJKUi1agYqcmCmlbmQaMqXgAigIeASk6kPu4HHUkiy6ypArBeRd\nY3ezpVoRN/IZ+4dyDasdpK/FAtdmx9ZKEi+/FuBO9hwXubaPrXJlvbPbpdJlBttLWVVhBIiT8W1f\nsbUir22v5Xzjy9hMDt52QbjxvZ03unI80IT2HSXNVaVAvGyA2A+hdyDzKHqHTlsWzXxts+G4K3Mz\n6d2WJ/cjz2C7fvf//4gRRR7Pnn0a9rp76n2hyuDiGuZXCl5d6PTka9hiCG2GDALoTkteXMrhB5oU\n7AvA139H7+JdbTC01aSFY9BhomA8aJZafiAOjt5EmcRcQXpO3Wa0zZ5dcjDfyaTYXguDjgcyMYJI\nzxvKkS5a4JyI1OGauyRT0Zx3F8Ka8kWrT0Eokka+EElj87Ww5mgsWmXylSyZ83OotsrSumKdy19C\n/kKkDH8A/jMF5pcKzCMEmM+xBHhmhgDWDZaYgJkm/i4IOVR/81wTZ9f4dOV6arvORq4AcLuPyP/5\n9e8spZZaV0J6ySpJ8JXqXw4MlLXMIQ2JAuXlRhVlscNJsUhEpMnIAQULPGKEV0uBiGWLZY3PFIOv\npdPSlB67bUkWjwWQyxeIw+KxuFyqDIqXmrQ7EQsiqOf8AgggbmnH5Vbau1a5Ompmjd5bpgLGxUZA\nuPf0duVdmYvlMpM9/kgmAsj71rfdjYw3W8rz9E9k7O0zVldw5fz8YQd6U1kp7jNUpxFvF4004Yfi\nlkj67wbiPBMA367U7oYAr2PD8TvKr0EkzN1GgHi3aSr54k8jOfc+455AOYCTZyobbJsLcaUm/CAU\ngHYg3b6QUSzHYKIXUgeBkzk8X/XqwZ4O7cvdvXcgF3y7lEG3OIPFuQyazlA0MfeYSGvx+0cNMDv2\nnIyge9DobaGTDQ5louzmAsBRX8DZsexYLXbZUpwaqxcyGTszAX0vgO4JFCPYnUmFYLCQJI4Xav+C\nrvbT0Mx9fKJJwsdaMXgO6TcQPVY2/QzyV8LwKDUh9bQFzE8xZgzkumVRhDFTDDtly0/xmSB7/m21\nPPmGkD6GgJI1IR1ytgR0KMhUP5aWmpmCtDSk98WBYYxW6dkayg9HEC+Q7aF8sKbCGJE/jIJ7RUmo\nMC9ODLkZePhYMmXJshOggPMFHhE+MTkvlRUPqXiOyCqPwOZYXjVJPaxIPOTgP5EEarWTmxuo97ij\nvuFT0ZD9vtwIjXebHXshdNpJvkq7Dl5rkvlIbsTtJN/uUjVjlBlPboNxWcBOb/5YzW2M33ZQVKWM\n282NsmJf5IlkeHfCLtsJg3bJOs8XQtMZvhuIs1TO3ywlKQ4tbbh3exW7H+lO5/5avgchbG4FnXS/\nnU3/CCGa8vK9PNeHjvvVlD2vAV8QrWm7lmM1h+VNw6K7fV3ytF6y78tduDfSZZYul7ZLWM8bgO4O\n32bQTuLIUwHn7VIGl7PTdUfNwPU8AeDugbDn7U3jZY56TeUSKKOYCRDv9JxsJROnOxVwdsw5Gkgy\ncHcFy69lcnYO5TUEHeh91VQHrn4gnuZYl66dJ+p/PoPt1+pt7Yl04SWQvWqA2e8KkBSvRQu1lToz\nngr4lC+FPTMDk2PtGYYIz5xQ8pyKUzyeUbGm5IqAJxiWlNzUbDmkiwNPq5JFhduJD5xJzhWPOAkD\nTxsTIX0uwhCsryt/T/zJ0nCoKUypKIlVv3ZN7UMiKnZE9ClY4tNVZlwR1bKFIWBGxTmWTBmyh+Ub\nxMexD8hPRTOu1nJTM4F8jiYU1py9kq+h2hlBft69FgtieCCrGceO8zXs3ojVLRrJ9XRga60A7e4K\nqHQsTG/LFGUuCebdQj7PeChgvK8rFxlsrpvzwg701T2xz1TLQsf/QkHVCKFJBu9mtlmqpGbVAHGs\n5KXTf3fhSFU183u3FlIFwoZHU8GBL5AZ78f9gHJVQpZBtHe3DkIYHMhhbbOc2a7hUru+xYkCbf+2\nzOF5TbLQWrnomyVsFgLQTuLoDm/fvcNYJtXgUJ0f88YHHXW098bgbfZcFsKGNzdw80LLSifNwPd8\nAeFk3IDz/Bthzt0p9RZXyVj05N1VY/zvTEVnNqohhgPYvpHlbr6EzokkgcKRMLDda3FohBPJ5vsd\nSQJmr8TTHB1LAUrwqHFmYLXXwlMov4HyBcb/CniENd9geYWx38MzMypOsVwRcEjOSyquCDgg51It\naj4lW3wiBbugBl9wVXgeAVIQIhBV0V40F5U0IspRIcSTcmzP0AL1tgujrHcd0UFVs2awBHTIOSdg\noOC808KYLbLz9xhju1ie62OfCV+vXtAw5I46LE6pq/OML42fstc6Hp82JdLuJmk8SJ7ITdKN992Z\nXDs/ht7j2+XQ2RI25yKLhH25Md9K8hWiK7v+48lQbvr7rohsI2CcreVTTIbaue0OtrpbN6zYjevR\nsYDxXQm3Ileys2gBcVfyPkn/3X7iohDw3qxkVWxtiw0rIfs2L/J7Kh4RTXnw3Se+5zCy7cx/jJTR\n/j1r7V//rsfcDyjnObz8gWq+emE63duDwZjbLDpLFaBXcHMhRxgJOHf6t++wxjSWu5pBLxuJI4ig\nNxSAdnf1tnZdlbCZC3uYn4rFrjMUpuyWU34gmlx3okvEa1i8luVqdyxg7sq6u5p02amd7mYlLKc7\npe7d3J1JQnCj3enSuVRjhR1hS70noi/uzmD9tdjn4gO1z30lntj8SpbZySOtDHsm4OGKF8IphCeC\nfOWlvI8amIUxCzA/xvINltcY+xRjhlRc49PDY0TFDQFDPEIKFrpjxxyfAbmCckGFK6xu6vqq2ovh\nelm4rsgVAspliTa3twSeWuf0PE8Ub6QwBFDe7KumHNKhYENAD9lLz2hv5NcYunh0KPkGQ4xhguUN\n2B3GPMYQtZJ6KlmUCwXkjjpYPO1J8kbYcvREPmdrRU4qFgLQyaPG5pav5IZKJY6KuGWPKzPYvJH+\nFX4sN9u2ta0q1X55Iz8nIwXjvWm7W8LmSnzyXiBWts7obUuaG9ebubBuzxeduL0qbEepeZjNotGI\na0Y8eDeY5pmA8HbVyBJhJGTLzdVvq+DbboSQbdbvrXjkfYYx5q8BfwQ4s9b+XOv3vwj8h4gP9K9a\na/894F8B/ltr7d82xvzXwEcKylEMh8fyoa+XsJwL+J48+fbHRDGMJrfvvvMrOU6+unvp02bQToPe\nLKRgZb2Ak+/f8Rgf+hM50o2w4fW1JD9me+cb03SyS1fi8FipNt492HsdE5lYLiFYlTBqvWc/gsET\ndXScS3e64fdbLF3bMG7fSHFJ2BNQMEbdGB0Bh3whCUDjiXyRv5H+Gm7XCgfM1RzsWFig/1g0ZrvF\neD2wx1jOgByPQ0o2yjYPqFhhSZUty153IiSE6hgOtJjDR5oIye4jscKwSBs+pedxGBlsBFUHkhBG\nWuB5EBhGSDugLj4RFREQYgjUzyFHRUBESYlPTMWWgB4FlwSMkD50rvPdFnFLn4iEw1a0c9OX4o/a\nZaE+9vJakqXB40Yrzi/lc44et5J2ay1/n8rhwlZyrbxAVzd7jHXzRoC5eyw35P3YXMqNvH0D3490\nLWTAj2BwLOz4XYB3cyrnR11ZGSZ3yBntuD4VQhPGohG3Scy7oizh1Q/k+ziBg8O3V7XfFpdnggfG\nQNJpSNlPGFlW8vz5/L08F/CfAb8K/BfuF8YYH/iPgH8OeAH8hjHmbyFFdf9QT/uh9rYy9h5qy40x\n58DXP+bDD4EfrkDl048v6b3Cl/V+v6T3Cj/Z+/2etXb2k/xxY8z/pK/huyIB2p2Lfk1bROw/3/eB\nX3dM2Rjz+4B/x1r7L+jPf05PfQFcW2t/3RjzN6y1f/S7XsC9MOWf5AM2xvwf1tqff5+v52ONL+m9\nwpf1fr+k9wr3/36ttb/4gf/EE+B56+cXwO8F/grwq8aYPwz87R/miT6Oir6HeIiHeIjPMKy1a+Df\n+FEe81DX+BAP8RAP8ZPHS+BZ6+en+rsfOT5FUH5L3/mM40t6r/Blvd8v6b3C5/9+fwP4p4wxP2OM\niYA/CvytH+eJ7iXR9xAP8RAP8amGMea/Av4Akjh8A/wFa+1/aoz5l4C/jFji/pq19t/9sZ7/AZQf\n4iEe4iE+nvgU5YuHeIiHeIjPNj5pUDbG/LIxxhrZ4+izDGPMv2+M+X+MMf+XMeZ/MLJtyGcVxphf\nNMb8v8aY3zbG/Nv3/Xo+ZBhjnhlj/ldjzP9tjPlHxpg/fd+v6UOHMcY3xvx9Y8yv3/dr+RTikwVl\nY8wzZH/Ab+77tXzg+DvAz1lrfzfw/wF/7jvO/6SiVQn1LwI/C/yrxpifvd9X9UGjAH7ZWvuzwD8N\n/KnP/P0C/GngH9/3i/hU4pMFZeAvAX+WpiPNZxnW2v/FWqvNZfnfEKvN5xS/APy2tfafWGsz4G8A\nv3TPr+mDhbX2tbX2N/X7JQJW39Jf4NMOY8xT4A8Df/W+X8unEp8kKBtjfgl4aa39rft+LT/l+BPA\n/3jfL+I9x12VUJ8tSLVDS3V/D/C/3+8r+aDxlxHyVH3XiQ8h8dFW9Blj/i5wcsd//Qrw5xHp4rOI\nb3uv1tq/qef8CrL0/c4uUw/x8Ycxpg/8d8CfsdYu7vv1fIgwxrhOav+nMeYP3Pfr+VTiowVla+0f\nuuv3xpjfBfwM8FtGOlw9BX7TGPML1trTn+JLfG/xrvfqwhjzx5FWgX/Qfn4exvdWCfWphDEmRAD5\nr1tr//v7fj0fMH4/8C+rfzcBhsaY/9Ja+6/d8+v6qOOT9ykbY34A/Ly19rPsuKU9Wv8i8M9Ya8/v\n+/W87zDGBEgC8w8iYPwbwB+z1v6je31hHyiMMIn/HLiy1v6Z+349P61QpvxvWWv/yH2/lo89PklN\n+QuLXwUGwN8xxvwDY8x/ct8v6H2GJjH/TeB/RpJe/83nCsgavx/414F/Vq/nP1Am+RAPAXwGTPkh\nHuIhHuJzigem/BAP8RAP8RHFAyg/xEM8xEN8RPEAyg/xEA/xEB9RPIDyQzzEQzzERxQPoPwQD/EQ\nD/ERxQMoP8RDPMRDfETxAMoP8RAP8RAfUfz/GKDahtpIZUUAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f8c888e6b70>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"ax = plt.gca()\n",
|
|
"cm=ax.contour(x, y, z - z_min[0] + zeps, levels=np.logspace(0, logzmax//2, 55), norm=LogNorm(), cmap=plt.cm.jet, alpha=0.15)\n",
|
|
"plt.colorbar(cm)\n",
|
|
"ax.plot(*minima_, 'r*', markersize=10)\n",
|
|
"ax.plot(*problem.x0, 'r+', markersize=10)\n",
|
|
"plt.title('debug: grid')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Run"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:34.576921Z",
|
|
"start_time": "2017-11-15T07:19:34.562294Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"import torch.optim as optim\n",
|
|
"lr = problem.lr\n",
|
|
"constructors = dict(\n",
|
|
" # need smaller lr's sometimes\n",
|
|
" SGD= lambda params: optim.SGD(params, lr=lr),\n",
|
|
" momentum = lambda params: optim.SGD(params, lr=lr, momentum=0.9),\n",
|
|
" nesterov = lambda params: optim.SGD(params, lr=lr, momentum=0.9, nesterov=True),\n",
|
|
" nesterov_decay = lambda params: optim.SGD(params, lr=lr, momentum=0.9, nesterov=True, weight_decay=1e-4),\n",
|
|
" \n",
|
|
" # need larger lr's sometimes\n",
|
|
" Adadelta = lambda params: optim.Adadelta(params),\n",
|
|
" Adagrad = lambda params: optim.Adagrad(params, lr=lr),\n",
|
|
" \n",
|
|
" # \n",
|
|
" Adamax = lambda params: optim.Adamax(params, lr=lr),\n",
|
|
" RMSprop = lambda params: optim.RMSprop(params, lr=lr),\n",
|
|
" Adam = lambda params: optim.Adam(params, lr=lr),\n",
|
|
" # lambda params: optim.Adam(params, lr=lr, weight_decay=1e-2),\n",
|
|
" \n",
|
|
" # need to read about these, might not be comparable\n",
|
|
"# ASGD = lambda params: optim.ASGD(params, lr=lr),\n",
|
|
"# Rprop = lambda params: optim.Rprop(params, lr=lr),\n",
|
|
"# LBFGS = lambda params: optim.LBFGS(params),\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:19:54.392998Z",
|
|
"start_time": "2017-11-15T07:19:35.162507Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"results = {}\n",
|
|
"distance = {}\n",
|
|
"\n",
|
|
"for name, constructor in constructors.items():\n",
|
|
" data, dist = test_f(problem.f, problem.df, constructor, x0=problem.x0, steps=problem.steps)\n",
|
|
" results[name] = data\n",
|
|
" distance[name] = dist"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T04:42:36.967927Z",
|
|
"start_time": "2017-11-15T04:42:18.398346Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:20:09.929773Z",
|
|
"start_time": "2017-11-15T07:20:07.992624Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((9, 2, 6000), (9, 6000, 1))"
|
|
]
|
|
},
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# calc paths and elevation\n",
|
|
"methods = constructors.keys()\n",
|
|
"paths = np.array([path.T for path in results.values()]) # should be (2,N) each\n",
|
|
"zpaths = np.array([[problem.f(torch.FloatTensor(p)).numpy()-z_min[0] + zeps for p in path.T] for path in paths])\n",
|
|
"paths.shape, zpaths.shape"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:20:10.167992Z",
|
|
"start_time": "2017-11-15T07:20:10.161239Z"
|
|
},
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"SGD 47.4099 True\n",
|
|
"momentum 47.4099 True\n",
|
|
"nesterov 25.8805 True\n",
|
|
"nesterov_decay 25.8805 True\n",
|
|
"Adadelta 95.8278 True\n",
|
|
"Adagrad 96.548 True\n",
|
|
"Adamax 96.548 True\n",
|
|
"RMSprop 93.5872 True\n",
|
|
"Adam 96.548 True\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# DEBUG: check z's\n",
|
|
"for i, name in enumerate(results):\n",
|
|
" zmax = zpaths[i][np.isfinite(zpaths[i])].max()\n",
|
|
" print(name, zmax, np.isfinite(zmax).all())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:20:10.502067Z",
|
|
"start_time": "2017-11-15T07:20:10.497232Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# clip zpaths\n",
|
|
"zmax = z.max()\n",
|
|
"zpaths[np.isfinite(zpaths)==False]=zmax\n",
|
|
"zpaths = np.clip(zpaths, 0, zmax)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T04:26:42.490470Z",
|
|
"start_time": "2017-11-15T04:26:42.487072Z"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Preview plots"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:20:11.407027Z",
|
|
"start_time": "2017-11-15T07:20:10.900704Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.text.Text at 0x7f8c885b6e10>"
|
|
]
|
|
},
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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AENa9ZppSWvILDnHl5G9is1qpPH6UssLDlB0poPxIAYe3bmbXN6tO7xcSSnhC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\nAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f8c8864ba90>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for i, name in enumerate(results):\n",
|
|
" plt.plot(np.abs(zpaths[i]), label=name)\n",
|
|
"plt.legend()\n",
|
|
"plt.title('loss (mae)')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T05:56:42.263843Z",
|
|
"start_time": "2017-11-15T05:56:42.260343Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 40,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:21:39.621839Z",
|
|
"start_time": "2017-11-15T07:21:38.517396Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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fUcAJG4d3Gp84Nm/sUAObe+lb8BlongdKwGOXYOE2+3KMCwo0xpi/BP7yyBXT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\nxf8DoDRyzS/whwUAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f8c88694a90>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# static preview 2d to let you debug your steps and learning rate\n",
|
|
"ax = plt.gca()\n",
|
|
"for name in results:\n",
|
|
" plt.scatter(*results[name].T, label=name, s=1)\n",
|
|
"plt.legend()\n",
|
|
"plt.xlim(xmin,xmax)\n",
|
|
"plt.ylim(ymin,ymax)\n",
|
|
"\n",
|
|
"cm=ax.contour(x, y, z - z_min[0] + zeps, levels=np.logspace(0, logzmax//2, 35), norm=LogNorm(), cmap=plt.cm.jet, alpha=0.15)\n",
|
|
"plt.colorbar(cm)\n",
|
|
"ax.plot(*minima_, 'r*', markersize=10)\n",
|
|
"ax.plot(*problem.x0, 'r+', markersize=10)\n",
|
|
"plt.title('debug: paths')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T06:56:18.228988Z",
|
|
"start_time": "2017-11-15T06:56:18.224509Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 39,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:20:20.772548Z",
|
|
"start_time": "2017-11-15T07:20:11.784198Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.legend.Legend at 0x7f8c888e6780>"
|
|
]
|
|
},
|
|
"execution_count": 39,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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Z5TKuQQBZRtJ167muaYZZg9AoaBoyxrEIhULWb2wXtNlbCuq6jtvtxu/3G59X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\nxXRKr9sjOyxlSlmcXykpglXTfUULX59PxkONjBsg5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3Rvh3jtNjqdUXs6lgQT/XUpx6oW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\ngiAIgsgTElOCIAiCyJP/B1yAAADWk6Y/AAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f8c88694da0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# static preview 3d\n",
|
|
"fig = plt.figure(figsize=(8, 5))\n",
|
|
"ax = plt.axes(projection='3d', elev=50, azim=azim)\n",
|
|
"\n",
|
|
"ax.plot_surface(x, y, z, norm=LogNorm(), rstride=1, cstride=1, edgecolor='none', alpha=.25, cmap=plt.cm.jet)\n",
|
|
"ax.plot(*minima_, problem.f(minima_).numpy(), 'r*', markersize=10)\n",
|
|
"ax.plot(*_x0, problem.f(_x0).numpy(), 'r+', markersize=10)\n",
|
|
"\n",
|
|
"ax.set_xlabel('$x$')\n",
|
|
"ax.set_ylabel('$y$')\n",
|
|
"ax.set_zlabel('$z$')\n",
|
|
"\n",
|
|
"ax.set_xlim((xmin, xmax))\n",
|
|
"ax.set_ylim((ymin, ymax))\n",
|
|
"\n",
|
|
"# anim = TrajectoryAnimation3D(*paths, zpaths=zpaths, labels=methods, ax=ax)\n",
|
|
"# quick plot to let you debug your steps and learning rate\n",
|
|
"ax = plt.gca()\n",
|
|
"for i, name in enumerate(results):\n",
|
|
" ax.scatter3D(*results[name].T, zpaths[i], label=name, s=1)\n",
|
|
"plt.legend()\n",
|
|
"plt.xlim(xmin,xmax)\n",
|
|
"plt.ylim(ymin,ymax)\n",
|
|
"\n",
|
|
"ax.legend(loc='top right')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-14T11:28:12.579998Z",
|
|
"start_time": "2017-11-14T11:28:12.577960Z"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Animation"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 41,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:23:12.884372Z",
|
|
"start_time": "2017-11-15T07:23:12.826907Z"
|
|
},
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"class TrajectoryAnimation(animation.FuncAnimation):\n",
|
|
" \n",
|
|
" def __init__(self, *paths, labels=[], fig=None, ax=None, frames=None, \n",
|
|
" interval=60, repeat_delay=5, blit=True, **kwargs):\n",
|
|
"\n",
|
|
" if fig is None:\n",
|
|
" if ax is None:\n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" else:\n",
|
|
" fig = ax.get_figure()\n",
|
|
" else:\n",
|
|
" if ax is None:\n",
|
|
" ax = fig.gca()\n",
|
|
"\n",
|
|
" self.fig = fig\n",
|
|
" self.ax = ax\n",
|
|
" \n",
|
|
" self.paths = paths\n",
|
|
"\n",
|
|
" if frames is None:\n",
|
|
" frames = max(path.shape[1] for path in paths)\n",
|
|
" \n",
|
|
" self.lines = [ax.plot([], [], label=label, lw=2)[0] \n",
|
|
" for _, label in zip_longest(paths, labels)]\n",
|
|
" self.points = [ax.plot([], [], 'o', color=line.get_color())[0] \n",
|
|
" for line in self.lines]\n",
|
|
"\n",
|
|
" super(TrajectoryAnimation, self).__init__(fig, self.animate, init_func=self.init_anim,\n",
|
|
" frames=frames, interval=interval, blit=blit,\n",
|
|
" repeat_delay=repeat_delay, **kwargs)\n",
|
|
"\n",
|
|
" def init_anim(self):\n",
|
|
" for line, point in zip(self.lines, self.points):\n",
|
|
" line.set_data([], [])\n",
|
|
" point.set_data([], [])\n",
|
|
" return self.lines + self.points\n",
|
|
"\n",
|
|
" def animate(self, i):\n",
|
|
" for line, point, path in zip(self.lines, self.points, self.paths):\n",
|
|
" line.set_data(*path[::,:i])\n",
|
|
" point.set_data(*path[::,i-1:i])\n",
|
|
" return self.lines + self.points"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:23:13.598400Z",
|
|
"start_time": "2017-11-15T07:23:13.546070Z"
|
|
},
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"class TrajectoryAnimation3D(animation.FuncAnimation):\n",
|
|
" \n",
|
|
" def __init__(self, *paths, zpaths, labels=[], fig=None, ax=None, frames=None, \n",
|
|
" interval=60, repeat_delay=5, blit=True, **kwargs):\n",
|
|
"\n",
|
|
" if fig is None:\n",
|
|
" if ax is None:\n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" else:\n",
|
|
" fig = ax.get_figure()\n",
|
|
" else:\n",
|
|
" if ax is None:\n",
|
|
" ax = fig.gca()\n",
|
|
"\n",
|
|
" self.fig = fig\n",
|
|
" self.ax = ax\n",
|
|
" \n",
|
|
" self.paths = paths\n",
|
|
" self.zpaths = zpaths\n",
|
|
" \n",
|
|
" if frames is None:\n",
|
|
" frames = max(path.shape[1] for path in paths)\n",
|
|
" \n",
|
|
" self.lines = [ax.plot([], [], [], label=label, lw=2)[0] \n",
|
|
" for _, label in zip_longest(paths, labels)]\n",
|
|
"\n",
|
|
" super(TrajectoryAnimation3D, self).__init__(fig, self.animate, init_func=self.init_anim,\n",
|
|
" frames=frames, interval=interval, blit=blit,\n",
|
|
" repeat_delay=repeat_delay, **kwargs)\n",
|
|
"\n",
|
|
" def init_anim(self):\n",
|
|
" for line in self.lines:\n",
|
|
" line.set_data([], [])\n",
|
|
" line.set_3d_properties([])\n",
|
|
" return self.lines\n",
|
|
"\n",
|
|
" def animate(self, i):\n",
|
|
" for line, path, zpath in zip(self.lines, self.paths, self.zpaths):\n",
|
|
" line.set_data(*path[::,:i])\n",
|
|
" line.set_3d_properties(zpath[:i])\n",
|
|
" return self.lines"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-14T12:35:36.543497Z",
|
|
"start_time": "2017-11-14T12:35:36.538677Z"
|
|
}
|
|
},
|
|
"source": [
|
|
"# 2d anim"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 84,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:18:33.057503Z",
|
|
"start_time": "2017-11-15T08:18:32.509958Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.legend.Legend at 0x7f8c0c5ced30>"
|
|
]
|
|
},
|
|
"execution_count": 84,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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YS/ukze+QA+kjkHobVBBCXxWVdqWwk/I8xD+RsS7ykJg6jdsMpEqPibI9dVJYeMUWeYbD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\nREQzwP7JCpQFddgQhZ3TcHEMo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bjoKFtOBuqOOXJGnCLHyXGMLIPSsNWDykJ8dOOjCy+u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G/UzKul5DRvCuMwhyzIzanC79ZeqjPTtEwnfA5MQEDzxwPy+89CKGYeB5HoZh8LabbqbkSzFr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\nF5coK3PT0nJraWN5WepSpaXbcGPvQywtRRkaWmJoaJFr16RLUlGgvr6Yhx5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fT/I3f3OF\nxx6r4ciR0qzKmTYURcHvd+H350c+MU2TlZUEU1NRJiY2GB/fYGoqiq6LnywU8nL0aClNTX5aWvwU\nFd34+YbDyU0iNjYWxzShpETj+HE/3d1emprem6pvw46wuHhRIixSKZOSEpWzZ10cOeKkqur2pYBo\nVNSw8+dhfFwITUsLPPSQELJcmktSKUnWf+eijDkyDKirgacflfLkTt53K+tSmjw/APPLkuHY2QhH\nO6GjIffZkrfCakRKk++OSAeloohZ/94uOFS/PY9YrriD3UTyYbzLqXDIofCrpMFrCZ3BlMFZl8Z9\nThXnnSoL5QCXKuXLqjWZpbmYgk+XS3PAnYi7gzATg9cXoc4rMzQPEhQFHqiTweV9YejZZ94yVYX6\nEhhb3rtj8FjXwNguKGVx6zHyWb6wsW41H/rz0G0btyxQ7h1cVHw+lVjMJJUyb2sMvx733FPEq6+u\n8sorq3zsY7kZiI4fr6Cuzsf3vz/O9743xssvz3DyZAU9PcH3mOHzDV03CIfjzM7GmJmJMjMTZWoq\nQjQqpUGHQ6W21sfp0xU0NflpaCi6qZqn6yZjY3EGB8UfFg7LPqqqnDz4YAldXV6qq503tdqI0T/F\nxYsprlyRCAufT+XYMSdHjjhpaNBua9NJpcQfdv68bHUdKivh8celezIXJdU0YWJKFLGLfeKtDPjh\n7ElRxSp3cG6KJ8Qndn4QRqzk/oYqeOZ+ONwiZdB8IRqHyxNwYRRGrXFKtWXw5DEpTxbv8ti+O5qU\n2XAqCg+6NO52qLyY0PlFQufdpMETbo1u7YMAWkWB+4uh0gnfXoS/m4PPVEDVHRo2+3gVTMVkLFOV\nG0IHzE/XVSbp/q9Nibdsv719G4Lwi2HpfnTtwRnGLivEU4V/rKT1GIV4npGojIzabrdkJlLWcW63\ndARQWipvtKUlg8rK3O7aAgEHZ84E+OUvVzlxwk9DQ25kqrraxxe+0Mng4CqvvTbHiy9O8eKLU9TV\nFdHYWERNjZfqai+lpe6bdiDeCKZpEovprKwkWF1NsrKSZHExztJSnHBYlmGIOqhpKqGQh0OHSqit\n9W0+5q1nc6YYGopx9WqMoaEY8bixmap/+nSAzk4vweDN/ygSfaFz+bJkiUWjZs4RFrZPzM4Ti0Yl\nauLUKbjrLjHv53IOWVqGdy2fWHhJ3qOHOuHuXmhu3H7w6o18YmXF8NA9cKQdyvJ4A51IwsCUeMQG\nrST/8gA82ANHmtIzdPcC7wtSZqNEVfgDj4MTusG/xXW+FUvRpqk87dYo3291oD1Atxc+XwlfD8NX\n5uCT5dB+wAhLNtAU+GQdfPEa/MskfKFFFMODAlWBe2tkLubYGjTtgU/oVqgPWsGSq3szC9MmSLtR\nvkxYj1EIpSwa21nZJxN2m9ZOCHwoJERsZiZ3UgZw//3FXLwY4bnnFnj22erNrsxsoSgKnZ0ldHaW\nsLQU34yUeOutBVIpY/PnfD4HgYATt1vD5VJxOBRMU14DXTdJJHTicYNIJEUkktokXTacTpXSUjfl\n5W66u0sIhbyEQh4qKty3LZsmkwajo/FNIjY/L2+Q4mKNnh4vnZ1eWltvHOZqwx78femSKGKxmMyb\n7Ox00NvrpL3dcVN/WSZmZ4WIXbgg806dTujuFp9Ya2tu5CkWg0v9cP4ijFmBVc0NcN9pONy1fQXW\n9omdH4CLw1t9Ykc7oD6PPjFdh+FZuDAGVybkpjHghVMdQsRqSvfHDe77ipTZaNZUnvUqvJU0eDmp\n87cRgzNOjQdcH+Sb1bjgCxYx+/oCfCgIJwow02+vEXDCJ+okw+wH0/DxHXQC7QWOVsLPx+FXU/uP\nlNVZd7STK3tDylRViNlukDJbKXMW4Ewaixemq3O7CIVUXC6FsbEUR47kzkLdbpU//MNy/uEf5vjq\nV+f47GcrCQS298KVlrq5//4q7r+/ygptlfLiykqSlZUE6+tJ4nGDaFQnlTJQFCF1mqbgdmv4/U7q\n630UFTkoKnJQXOyiuNhJSYkLv9+RdfUklZJB3yMjMa5dizM5mUDXpbzb1OTm2LEi2ts9VFbevCwJ\n4tUbHBQSZg/+9ngUurqc9PQ4aG29fZYYiGH/4kVZc3PyWWhrg8cek6T97fjELlyGgWGr1FkOj94v\nA8B30oASXhaz/oWrEF4Rn1hXkxj28+kTMwy4NgeXxiTYNZqQRqAjTbKaKgt73tcNuBaWG9Rs8b4k\nZQCaonDGpdHrUPmpFTx7IWXwmEuj1/H+LmkWO+BPK6WU+cNlCKdksPmdJia2FMHDlfDzOWj0wskD\nNM/YqcHJKhm9tBCFin00rcDngjIfTOyhr+xOIGXxeP4aCOyLnH77yUU3haoqNDc7uHo1hWma2zpH\n1ta6+fSnK/nGN+b5ylfm+MxnKrPOLrvVcYmaVfgPQSxmMDERZ3w8zuhonImJBKmUiaJAba2LM2cC\ntLS4aWq6fRl1fd1gYCDFlSsphodTmx2XPT1OuruzJ2LLy3D5spQmJy0Vq7ERPvxhmTtZlIMn0TDg\n2qiMOuobkBsDfxGcvFuIWM0OlKvVdbhs5YlNzlsBtDVw7igcas6fT8wwYGxBcsQujcvEDZcDuuvF\nI9Zend/mgOuRSMFQGK7MQv88xJLgzuH88L4lZTb8qsJHPQ6O6wY/jut8J57izZTCUy6NuvdxhIZb\nhU+Vy3imX6/DQkoaAm4wy/ZA4/5ymIjC87MyH7Nhl02dO8HJavGV/XoKnmnb66PZiroSGM1hCG++\n4XburqesIKQsAUV5ej/aXrLUDl+Tri4HAwNJZmYMamq2d2VrbfXwJ38S4utfn+eLX5zhvvuKue++\n4pybBwoNwzCZn08yOZmwiFiChYXk5viu6moXp075aW720NjovuGg70yYpsnsrBCx/v4kk5PCkINB\nlRMnXBw65KCh4fYeMZBy5KVLW4lYTY0Eu/b0QEkO/ivTlBmrFy7D5QHYiEg5/lAn3HUYWpq27xPb\niMLlYRl3NDYrj1VdDk+cht42KM5TFcYmYrYiZqfrd9aKItZeXZjPqI1oQgjYlTm4uiBd2R4ndFXK\n+LnWcvgPWe7rfU/KbDRoKl/wKpxPGfw8YfDlaIojDpVHXBrBO00iyhKqAk8HodIhUwC+PCdEreIO\nagBQFPhYLXzpGnxrEp5tltLmQYDfJYGyv5uDhxogsI8mFdQH4cI0rEShZA9UPLcz7fcqJAqtlJXl\naVKAXbZK7LAj9fBhJz/+cYx33klQU7P9P2x9vZu//MsaXnhhiZdfXuGddzY4cybAkSO+nL1m+UAi\nYTA3l2R2NsnMTIKZmSSzs4nNCBCvV6W+3sWRIz4aGtzU1blu6QuzEY9Lx+TVq7JWVsT7Vl/v4JFH\nPHR1OQiFsgs3X1iAvj64ciVNxGprpTR5+HBuwcA2EbvcD32DkonndEBnG/QegvaW7TeYbETFqH/5\nGlyzEvYrg2LY72mT4d/5gK5LabJvAvonhYg5HRnp+jWF8XraCG9A/5zM+x1bkudZ7IHj9dAdkukm\n29F1PiBlGVAVhWNOjcMOlVcTBm8kdS6nDE45Ve53aXjfpyXNE34hYv8Sls7Mj5bBoX1ULtspvBp8\nqh7+fgS+MSEzMg9KVtvZGnh7VrxlTzbv9dGk0WCdeMeX946U7YZSlrC7Lwtw8k8k8zOIHNJG7Hj8\n1j93O3i9CocPO3jnnSQPP+zB49n+OdHv1/jEJyo4dizGSy+t8PzzS7z44jKdnR66urw0NropLc3e\n33U7mKbJ2prO0lKKxcUUCwsp5ueTzM8nWVpKv1ncbpXqaifHjvmpq3NRV+eirCy74zBNk5kZg6Eh\nIWFjYzqGIUb91lYHDz7oprPTgd9/+xOMacL0tJCwy5eFlAHU1cGjj4oilgsRM4w0Ebs8IDl4Dg3a\nWsQn1tW+fcP+2kaaiNkRFmXFkrB/pF0S9vPxZ0wkYWhWiNjAlMTeuBwy3uhQXf7T9TNhGDCxIkSs\nfw4WrMiaqgCca4FDVZLTuNPn+QEpuwHcisJjbhls/lJCJgK8nZJmgHudKu73ITlrdsNfhGQCwDfD\ncNovPrN9VnHYNqo88PE6+OYEfHdKujMPwp+5zAtHKuA3s3CuVtSz/YDqgJwsR/coRNbthMW1wj/O\nQfGU2QOjY7Gd7+vsWTcXLiR5440EDz64806E1lYPra0e5uYS/O53G1y4EKGvT2ZD+nwqFRVOyssd\nBIMOfD4Vr1fF7VZRVdA0ZbOrMpUyicdNy+BvsLGhs7FhsLams7qqs7qawkg3aaJpCuXlDmprXdx9\ndxFVVU6qqlwEg7fP+8rE0pLB8LD4wq5d04lE5EGqqzXOnnXR0eGgvl7LqmMymYRr16C/X+ZOrq2l\nh3+fOiXdk7lkiaVSMDwq8yb7r0pp0qFBeyv0dIkytl0iFl6GK6OSJzYxJ9+rCMIDxyRLLF9EbDUi\nSlj/FFybFfO81yVhrofqobVKnlMhsB6XWb6DCzAcFn+YqkBLOZxqhM4QBPN80/kBKbsFSiy/2VnD\n5KWEzisJnTeTOvc6hbB5DsJVO4+wGwB+ugKvr8NYXHxmd0o5szsAT4TghVl43gFP5XlsR6HwYD1c\nWIBXJ+Hplr0+GoGqQmNQxi3tBTxOOYEWGoWKxDBN2fdOwl4z4fHIe9lO9t8Jamo0Dh928tprce6+\n20lJSX5k5VDIxZNPunjiiSBzc0nGx+NMTSUIh1NcvRpjbS23LgWPR8Xv1/D7VRob3ZSU+Cgp0Sgt\ndVBaKiQvG/9WJiTN32R0NMXoqM61aymWloSEFRerdHQ4aG3VaG11EAhk97qsrMDVqxLmOjQkxMzt\nlq7Jri7o6MgtGiUSkVT9gSEYHLbGgLlkxFF3h2y3874yDJicg4Ex6B+FOcszWlsBj5yA7maozEO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l6gKNJ5Wl8vXrD6eumKdGbZeGQYsBAWAjY+JeXIhcX0vqsqJTm/sQ6aGiQrLJv3t2kK4Zq0\nSpHjs0LIDKuqG/QL+Tp7l5Qjq8pyVzfXo0K67FLkZFi8nSBkq6YU7mkVBayhQuIqtgvThKWIkK7p\nVVHBplfTCpiqQIVfTPi1xVKGrC7O7/koqcNCFOaiUn6cscqQGxnTPfwuIVzHQ1DjF/WrYh9Vaz4g\nZfsMXkXhqFPjqBN002TMMBlMGQzqJs/HdUCnRFFo1RTaHSotmoJ3v7OXm0BRpDOz2wsLSXhrQzLO\nLkSgwgF3F8HdPgmp3a/QFHioEnqL4Ycz4jX77RI8VQ1NBVBQtoPeCtBN+N5V+PoV+HQ3uHb5NVVV\nuK8FfnBJxpl0VBb+MYNF0DdRuFLdmlUazbdStrEh/p1cow+ygdMJJ07Aq69KnENjY/4fo5BIJiV+\nwl4zMzKmyC5BKor4wNrahHjV1ooZPxfP1tq6EC9bAZvK6F70eUUBu7tXfGG1Oew7GhPla2JOiNjk\nvAS3ghCk2gohYA1VoogV5Uj2N2Jp9WtqUciYXb5XFDHgH6qXgNa6cqgs3v7nIqnD3JoQsJk1UcBm\n19OdkKoio4kOVUFtiZQjqwL5I2C6YZGviBCwuQjMR2ApLuQQRP0K+aCzNK1+hXyFzW80TVhLwUIC\nFuKyDScglsPY1gNJyhYxeIENKtEIoVGJAzcHk5jcCpqi0KIptGgqTwCLhsmQbjCcoaIpQJ2m0Kqp\nNGsKDaqC4wCStAonPB2ER4vhUhR+tyGDz3++Ap1euMsr2zx01RcEFW74d41wcRVenIN/GIGeYlHO\nSvdBt+lRiwT961X42mUZxbTb4bJ318Evr8HPBmWwb6HfpqV+OXmvRXemANwMdvJ5Pmb/ZWLRKrGV\nBfO7XxvnzsGFC/Dtb8PnPy8zF/cbdF0M+AsLEuExNydrYSF90XW7IRSShPxQSMqRuRKwWAymZ4V4\nTc1ISXLFmnqgaVATgmNHhHzV1UB5WXbv22QKZhYkmHXKImIL1t9VUcSQ39UkRKwuJCpYLhlh61GY\nWRbiNbMsCthyRmdieUAywWpK02s7IcemCetx6YKcW5ftzBrMr6cVPY9TCNexOtlW+WWbjxKkbkA4\nJgRsPpJWweYj6cdXFZn3W+OHuyqh0guVvsKqXzFdyNaitcLWWkjIiD4bbg3KXVCRw3vyQJIyBbhK\nkgskNr8XRCWERhUOa6vh4wDP+rkBylSFMlXjpBMM02TCMBnSTa6mDF5N6PwC+YPWW0SuVVOoVQ/W\nyCeXKhMCjhWJeva7iKhnV6LiSev1StRG/T4sbyqKeMu6AjIF4FdhuLIGJ0rhgQoo2uNP29FKeX2/\nPSgNAP/ZITGy7hY0FR5ph2+/K52Ydxd49FKpRcQW1wtDylbWReHIdyJ52CqNlRUgagOEzHzyk/DV\nr8KXvwyf+YyoSnuBZFLI1/z81rW4mO6AVBTpGq2qgp6eNPkK5hhJYxhixs/0gtllSIBgsURT3HtC\nVLDqUHaGfNMUwjUxJ16wyXnJCbNJQ5EX6iolmqKhSkJac/GCXa+ATS1u7SoOFonydbJdttslYIYh\nkRPTq2kFbHYNIunLLAGPqF5dIdnWFEMwD5NbbNO97feyiddiLP06AgQ9EPJCRzCtfFV4cwtnzRa6\nKYRrIb6VdIUTEMloBlAUKHYI+bq7RAhYhVu2/m3MxVXsMRMHCSdOnDDf+s1brGMyh848KebQmUNn\nmXRycxEqFahUolGBRiUa5Wg47kBVLW6ajOomI5aSNmu9k10K1KsKTZpKkyZdnQdNSTNMGI7DuxHo\ni0LShFIH9HhlVTv3H0EDWEvCKwvw9rIofKfL4Gw5ePe4HDu2Cv98Re4iP9UtwYa7BdOEv39D2t//\n/f2FNdKubMD/+QP4vRNwoj3/+//Wi9IJ91d/mN/9/uwX8Nqb8N//V4XtkJybg3/6J/Fe9faK36ou\nz0TZNCWfa3lZAleXloRw2dvV1bTypari/aqoEOWrokLM9xUV2fu/bBiGzIqcnIapWVHDZufSsQ7+\nIlG+6qpFBautFq9dNs8nvCLq19S8eMBmwjLHESQ4tbZSSFhdSJSwQFH2HrPljbT6NWNtM0uQ5QGo\ntQz41UFZud4UmKYY7WfXpOQ4Z6lgCxuiTIGoXLbiZa+QPz2+bLuIpyzVKypbey3F04+tKBI7UekV\n0lXpFeJV7s2/7SJpwFICFpNpxcv+90oy/d4EIVgVbihzWluXELFSZ3aZZIqi/NY0zRO3/bmDSsp+\n85vf3PD/YhibBG0enTA6C+jYxFYFyjbLnkLWKtDwo6DcQWRtwzS5ppuM6gZjusmcRdJsJa1ZU2m0\nSJprPzKamyBuCDG7GIXhGBiI/+yIT5oEKvfh1ICFOLy8AJdWRam6twzOlIFnD8nZQhS+3ieZPB9p\nE9l/tzC5DF9+Qzoyn+wu3OOYJvwv3xYj81P35H//X/yOmPz/+On87veb34X5MPzVn+d3vzfC+jq8\n8op0ZCYSQoKam8UMHwwKUSkqEsXIDnmVgFdRueJxKQFGo+KFW18XorWyImt5WfabiaIiIV+lpbK1\niVd5ee5zHMEymC8L8cr0gdkdhW6XpOLXVAn5aqjLzoxvmlKinl5IlyAn59IEzOmA6nKoqZDVUCVh\nrdmcTg1DFNxZqwRpK2F26KuqQkUAqi3yZROxXBWweEpKjfPrW9WvWIbxvcQrBKzSImE1xVDu29kN\nQSQp55hwTBQvu9txJWPChmqTLx+UW9uQVXrcbvDqjZAyYDkJSxnEy1a/VlNbiZfPIaSr1JUmXRXW\n1r3D8/WBIGWKonwS+J+AQ8Ap0zRvzLSuw61I2Y1gYLKEwYJF1GzCtpahqrlRKM9Q1CpQqUDDe4eU\nQKOmyZilpF2zSJqJkNQqVaFREzWtUVMoOiAkLaJDX0waA0bjYCIE7bAXenwQ2oZ0XEjMxeClBehb\nlQ/4yVIhaHtV1owk4VsDMLICZ2rg8abClAFuhB9cgrcn4AtnxAhcKHzxBQmS/exD+d2vacL/9lU4\n0g4fvi+/+/6br0BpED798fzu91aIx4WY9fdLgOr1RCoX+HziUyspEWJnr9JSWbl4vq6HaUr+l02+\nJqclGd+Oo7B9YLYJv65GysDZnAfWNqT0ODUv2+mFtBFfVaCqfKsCVlmaHXHRdZhbEfJlr9mVNGlU\nVagqSROvmlKoCubmybJLj7bvy/aALWeUOV2OtPpVXSxfhwLbV6tNU0jWvKV82Z6vhejWrC+HKkpX\npupV6YNSd/7ON0ljq79rMUP9Wk1u/Vm3JkSrzJXellvbQt4oZ0vK9tpTdhH4OPDFQj6IahGucjS6\nMr4fwWARnQWLsC2gM0CCd0kT1YBFzspRKbP2UY6K54CRNW/GZAEQkjahC1EbNwx+mzR4IykktUJV\nqFcVGjSFek2lcp9GcPisfLPjRbCmi4LWF4VX1+AXa0LQur3Q7ZGg2r1+CiEP/FE9zMQkQuO1MLyx\nKJ6zM2VQsssqn88Jnz0EL47C69MSoPiJDijehQHyj3fCwDx8/5IQs0KRwVAJDM/mf7+RmKga5Xkm\nlIYBi0vQ0Zrf/d4ObreUL0+dso7BKi1ubEgmVyqVDnnVNFG0HA7weGR5vaKA2apaPmCa0gk5PZte\nk9OwbhnaNU3iKHoPpZWwUEV2j78RTStg0wswtZDOA1MVCJWljfg1FULIssnriiVE/ZpZ3rq1S3Me\nlyhfx1tFBasqkUT8bAmYnfs1twbzGxnb9XRp1o6eaAjC8QaoLJLSY9C7PfUrqafN9uFo+uuFqAzb\ntlHkFLJ1uFyIV4VXFLCgJz+G+6gupcWl5NZtOCGlxkwUOYRktfjSqleppYAVaYW5FhgmrOqwYq9U\n+utkDtrXnpIy0zT7YO8u+D5UfKjUZx4TJuuYm6qaXQIdJ0kG+d9C1mx1rQwN5wEpgXoVhQ6HQocD\nQEM3TaYM8aWN6hJm+04KQMejQL0qKlqj1Tzg3GuGcx0CGpzyy9qwCNqlKPxqDX65Jv/f7REVrcm9\nt5k01R74ZL1I6L9YEGL2xiLcVQL3lYtfYbegqfBUi4wK+cEwfPFdIWatBer8s+FxwocPwTd+J9ll\nDxXA8wWiOJwfscYh5fF1Da/Itqw4f/sE6fxL6VBeIJN/NlBVKSfaA8x3C7GYlB0np2HS2q5lZI1V\nlEFbs6hgdTXZE7BE0gpktcqPU/OwvJ7+/7JiKT2e6RUVrKYiOwIWjVudj4tpBWxxLf3/PrcQsDOd\nooLVlokpP9tTZyIlZMsuOdornnEhCniEdJ1qFOWruhgqirZ3kxPL8HvNR9IK2Ep8a4kv6BGydSyU\nVr8qveDNw01lTN+qdmWqXpnmehDiVeqERl+6xFhWQMXLMOXmf1mH5RQsWVv736s6GbU3gU+FEg1K\ncmBae62U7TsoKARQCKDSQvpdZmCygkEYnfDm9r1krQSVcjTKDpiypimijDVocB9gmiaLJozrBuOG\nqGo/T8hbTgUqVYV6K4Kjfp8F2hZpcMIvK2rAQBSuxOCdiGSheVXo8AhJa/OAe4/+NBVu+HgdPBqC\nX4fht8vwzjJ0BmRiQGMeupqyxZFKaSn/Vj/8Yx+cq4WHGwpbzuyukll2vxiCjgqoKwARrLL2ObsM\nLXmcJGDHG1Tk+ZgXrbDbQnVe7hfE4+kYiqkZUcHsKBAQAmYP566tFkUsm7JnKiXGe7sMOTUPCytp\nUhH0C/E61SOG/Opy8NyGrJummO1t4jVjKWArG+mfCRYJ6TrWYhnwS2XMVzafX90Qz5ddepyzPGCZ\npUe3Q8qOd9WmTfeVReDdRqL/cnyr0T5sbTMDVu2SY70fjlWmla8yz86yxuwcr8VE2uO1mKF6Ra/L\n8ypxCsk6HLAUL+vfpS7x5+YTScMiWBbJul7xWruOdCnIzX5Qg0a3bEsc1tZazoxj/HSWx1FwUqYo\nyk+B6hv8139nmua/5rCfZ4FnARr3IPFQRaEUjVI0Mm/qM/1qi+gsWoRt7DqyVmwpamWbpE2+3q+e\nNUVRKFegXNW42/pe1DQZ1yWKY0I3uJgy+K0JoFOkQL2m0qAq1GkKNer+GA3lVeFokayEAVdjMkVg\nMCbdnJoCbW7o8kKHW1qbdxslTgmbvb8C3lqCN5ck56zOK+SsO7A7yl6FF/78CLwwAr+chJFV+IMO\nuTMuFJ7uhpFF+O4F+Iuz+Z82UG2RppkCkDKHBsE8d64uWxlZpQVWKncTug5z89IFOWnFUcyHM4hS\nsZQe7Tyw2ursZk5mdkJOzokSNhNOlwr9XiFePW1QU55dIKtpwkpEOh8zDfgbmeG0xTKIu6o9bcLP\nRoU1TViLp7sdbRVsfj19zJoqSldDUGY/hiwPWK6xEylD4iRswmWrXgsZo4VASo7lXugqE/Wr3Ctm\n+52UHE1TDPRL1xEvO1YimcFsVAWCFtGqKxayVeq0uhpdW0nNThE33ku0liylaykFG9fJXCpCsko0\naHbLtliDoANKLQJWiNzMgl+CTNN8LE/7+RLwJRCjfz72mQ9k+tUyYWCyapE1W1lbQGeUJJk3A76M\n3y/PKIfux4w1r6LQ6VDoBEDDME0WbDVNNxk3TPpT8s5WEDWtzlbUNJWKPVbTXCoc9skyTBhPSP5Z\nXxQGrJNujVN8aF0eqNrlqI0ih0wHOFcuitmvF+FbExB0walSGd9U6I5NlwbPtEFrCXx/GP72Xfhw\nS+G6M70u+NgR+Npv4Pkr8ExPfvdf5IGAVy6w+cT8kvjJ8h1Zsbom77lAngNpdwt2J+TElJUFNiNG\nfN066Xk9on4d7pI4irqa7KIoQHx8E9Y4ogmrDJnZCVlXCWeOQH1Ivi6+zWtoE7DMOZAzS+kxRIoi\nqfcdNVtjKLIpbab0NOmy0+7n1tIjhwD8bsn6am9OG/DLcyw9JvStpUbbbL90Xcmx2C1kq7kqw2y/\ng5KjTbzCCQhbnYy2sX4pIRlfNmziVe6CZt/WMmOJM383nHFjK8nKVLyWdYjdhHSVanLOz1S6gppM\nktkLm8sH5csCQUUhiEbwBsraCgaLVpNB2FLX+kgQz2gw8KFYalpmKVSlGHXfRHeoikJIgZCqcdz6\ncEdMk6lNNc2kTzf4neVN8ypQq6rUWVEcdXvY6akq4i1rcsMTJTCfEmLWH4WXV+GlVflgdnql1Nni\n3r1pAk4VTpbB8VIYWIfXF+Ens5J5dqwETpXJCa2Q6KkQn9l3rsJ3BuHqMnyoBTwFOGO0lMO5Fvjl\nMLSUQW+eg0xrSgtDyuoLMFh9IyKjfAqZT5ZP2IO57TLk5LQ8BwCXU1Sv0/eky5DBLCMjdF1Ur8yR\nRLaPT1Wk7HhXRzoTrCJ469fMJmBTi1u7IG0FTFOl1H24IU2+qrIgYHbm18za1vLjQkbivd312FMt\nyldoG5lfG8mt3Y0LUViIwXIs/TOaVXKs8cORinS2V7lnex2WhikG+nBia7nRVsAyFS+nKuekSjd0\n+dMlxlInFDulIrETmKZYUa4nWrbqtazL/2fCpUieZYlVXrRLikFL8SoU6TJMkzUTVq3tmmmSOChG\nf0VRPgb8P0Al8CNFUd4xTfPJ2/3eAgm+zhTFOPCjUYyDgLX8aPjQUPcJcbkemWXQtgzPmt1gYCtq\nC+gsYTBAglgGWXOiUG6VQO0IjzKLrO2H5+xTFNodyiYRNU2TcIaaNmmYvJowNp9RmaWmNVj+tEpV\nQdtloqYoEHLKui8A67oQtCvWuKc31+UD3u4RBa3DI52fhYaqSOmyOwDTUfjVopQ231iSE9+9Bfad\nBT3wuR54dQJemYDRVfhYOzQXIMLi4XYpY/7gkgwqLs3jPMnaMhicFsO3Kw9m5HhCjOL3FCBjLRa7\nvcdpr2AYUoa0h3KPT8KSRZQUBSrLpWu0vlaS8UOV2ZNLWwUbm4GxWVHB7G7CgE/I192dMpi7tvL2\nZCkSF9JlD+GeXEwTMFVNK2B1ZZKCH8qiA9IwIBwR5WvaGro9s7pV/Qp6hXB1VUreV3VA3svZfkaj\nSSFbc9YgbTvZPtPv5dSEaNX74Z5QOmS1dBslR9OE9ZSoXLbiZafWX694OdV0B2ObXxQvewXyED9k\nlxdtE/1SylrW95k6PJYAACAASURBVK4nNi5FSoklmnTXl1oql731qvk/N+qmybpFtFZNWDFMVkyT\nFRNWDSFh66bJ9RzMlcNxHMjw2EMnjpl//ZsXWUNnnRQbWwqCIksW4SCAhn/L1kExDor2MWm7Eezo\njsXNcqiURNczbIcOoNQiarZvrQKNICraPnuuCdNk2lLSbEVt3UyH21ZrEslRr6nUqwole9gqmTJh\nJC4KWn9MOmwUZMxTp0e8aJW7mIe2lhTf2VtLYoqt9kjWWW/Jzu9Gb4WJNfjuVfGpnLWaAPIZ8Ahi\nbP6Pv4JSL/zZ6fzMzgMYmIKv/wL+9BFoCu18fxOz8OV/hU89Ad3NO99fJr75XQgvwV9+Pr/73Q7s\nwdz2cO7p2XS2lr8IGmotAlYrnrBs88dsL9jotJCwibmtKlhtpXRDNlRJKfJ2ZchkKoOAWWOIljK7\nNost8mV1QGaTAZZIpUuP09Z2fiNNFB2akC+beNmp99kqUtEkzFplRztY9Xry5dKEbGV2OFb6oDjH\neB/TlEzHcGLrsr1emYqXQxUzfbnbKjNaX5c5tzcyKBNJI022blRivJHSZfu3bKIVdKTLjB4lv+fd\nlE20TJNVQ75eNU1WDVv1Mtm4AV1yKVCsKBTbWzX9dUCBYlXBC6iquv/DY7eL68NjUxisobNGinVS\nrKOzbv17jRQR9C3MVYVNkhZAsxQ2UdkCB4i0RTEIbxI2fbMkukJaidIQslbB1o7QUtR9M27KNE2W\nTZjQTaYMg0nDZFo3NxslihXxpdVnNBHsRSSHacJUUpoEBmIwZXlPSh3SydnhkXJoIcmRjaQB765I\nlMZcHAJOCaM9HixcGG1Ch5+Mwm9moKpIVLPqPM+U7J+Df35bWvw/dDg/+1yPwv/xr/DkMbi36/Y/\nfzu8fQW+/wv4L/4IyvKsGj73fSE///4L+d3v7aDrMDuf9oKNTaSbDhyakK66Gln1tdmXIUEUpukF\n8YKNzcDojOSEgRjv60NpAlYXurUKZpqShG+rXxNhIWT2nEy7C7K2DGpLZeu5DVmMJsTzNbMq6te0\nZb63L41Frq2Bq1UBSb/Pxvt1vedrLiJkbDUj2d7tEL+XHapq+72C7txIhx2gmhknsWCl12d2NWqK\nqF22t6vUmQ5Q3YnHyzDTStdyxnYpBYu6VCAy4VS2Eq3/n733jo4kPc97f1WdE3IaYDCDyXk2zXK5\ngeQySgxiJsUrUZQoXQVLlu+xfXV8bfmvG6yjo0vbcpCsS9mmZJKimKNILbnL5e5y42yc3Z2dmZ2A\nGQxy7Byq6rt/vF9VVzcaQANoYJZrfTg1VcB0A41Gh1897/M+r6t6tWsIS7RQ6bJ8JUUXstI+tSu9\nAnDFDUgZBinDoM10j6vA1W4aRGnOK/2zEh7bkhXEpBOTThrXJmwUWSxPWctgkdb7UcoU6tJF/Epb\nyqewufvYa8TXFcNkJyY76/6MFZT2q1WVtUkszvlgzaAa39Hj27pugLJmGAadBnSaBid0g4OtZH7n\nNUd3fNqKl61qJEefG26r89Pat6GJwDBEJh8Kw71t0iJ9TsdtPJmDx7IQMQTODmkvWnSLvEEhUzxn\nt3bApZyUNh+YltyzE20SRtvf4q7JcADetxcOdsK3L8Jnz4hidtdg67wZh/rgzhF47Ars7hIfzmZX\nMgZtcVFQWrGm5qQM2tnijDKARFwUKqW2Vn0tFKQMOXpNlLDxSV+5MCkq2B23yUiiHf0S1NrsciHs\n8jhcGZdyZFkrQO1J2L8Tdu+A3QMCtav9npYtf7fRGbg2KxCW10ATCgp43XUIhntECUuu0V1ZtmA8\nDdeXYHxJjhfy1f9PRmCwDY72iwq2ow1STcCRUrBQhElddpzS8LXQwPM10ibDtN2B2ql1Kl85C2ZK\nss36wKtRgGpPGI62VYdkd4fFdL/R52vZgXlLb3UlxiWrcWREV1A627uCtSXGeIugS2mgWtIn9/6S\n4pKzssIV0cDVbhjsCMi+TYOWq3zdiJP/1wWUrbUCGLQTon0FaLM0tGV90OYqb2MUl5VHgxheWdTv\nZXOhLXqDoS2EQT9B6n3IFRSLuhPUD22XqXhPJhPo8JVA3Y7Q7Q7GDRgGgwGDwQDcof9sWUc8adcd\nxTXb4XnL4SkltzxliIrmqmlD26CmpXx5aGUHLpekxHlOz+YMGLDbV+bs3IJnm2GIv2NfUl6kn5iH\n55fg2UX52h2dcCDZ2jf4g53wuzdJ2OyPRuH8gqhmnS2CwHcchGuL8O0XpTTU3QI1bqhLlJVWrMk5\n6O/aGmjq6xWAmZmV41Ysx5Fh3GMT1UiKWX1fuGOJbr+lWopsS63vd3McuU+ujAuIXZ2sdkX2dcJN\nBwTAdg2sXYrMFeHqrADYtVlRwVxY7GmDQ0Ows1u23rbVPWsVW5QvF74m0jKKyIviiMmIr1t3wg6t\nhCWb8PMVKlX4mtbq13S+mm5vGAJfg0kJWN2I58tWonbNlqrQ5ZYd/apX2BTY2h2v9Xh1bXBWo9IB\nqfXA5R7Xx0bETYGtnWE4EauqXp1BMdO3ompQVIolBw1aonQtaaUro71cdbmyUvrUCtdgwGhYXtyK\nyCaFogxkccjhkEWRw6GyzGW28npdlC+3ernQlvYpbP7yaLFOaQtieMpau09lc8ulwddY3IWts9Zm\ndIOBC2yL2N5vZgAdmPT6Brl36TLojSr1Oj41bUw3EczrlicTGNBq2i6dn5baJm+ao+B6WRS08wXp\n7AQYCMGRmLRfb+VczoJd9Z1lKvKifVeXTAxopQ9MKXhhFv7usnz+nj1wsqc1v9dSAf7iMVEp/tc3\nbj6/7OGX4f4X4F98CGKbMNJv5cxLEJXsP34W9o7AL35wY/dlJivK19h4VQVzlapEXCfiD8CunVKO\nDG2g+WEpC5euw6vXZF/Q6lVPhwDYnkHYM7R2Llg6LyrY6AxcmYZZf8m0UxSwXT2wq3f1LDClYC4n\nCtjYEowtSiek2wGZiooCtqNNGkkG2yDRTGhsGSZzsk3ozT9UOx6qKl79cSnn98aaf7xauuQ4WxYb\nwrRWwObK1dsOYk/o8UFXX0Se120beB1xxwG5wDVnyeYqYJY/zoJqbITr7+oKVrfNBm8rpcjjqluw\n6CgWlWLRgUUNXsU6RDHR5UOz6uVqNw06DKmYdJgGEVpfObE0YGVR5PU+o73d7j6HotwAwCIY/BOj\n838eT9mNXhUcrySaxa6BtzQWVt0fKYapO0cF2lyFzW1CeC2URqEKa/6O0FlsFlfwrPVoda2XAO03\nSC3M65me12zFVcdh3OdNazfczDSDXaZBv2lgboM8PW+Jena2INloCvFNHIrBkejWjX2yFbyclhmb\nk0WIB0U5u71Tjlu1FovSBDCaliiN9+1pzciVCzPwhadlft9m88suTcJfPyiDyfdtoiS6kIY//RL8\nwpvgtiObu00rrYcfg/sflk7GD/w8JFdQlyxLMsGmZiQLzN3c2ZCmCQN9VUP+8BC0t20M9CoWXL4O\nFzSEucb8VBz27ZRtZAek1lA1l3JweVoA7Mo0LOrbGgnB7l7ZdvUKkK1mxi9WRE29tigANp6Wr4F4\ntIbaYWeH7Ifa11bAHCUxExM5mMjKfiovo4dA7rPuqEDXjoTs++OQbLK5wXKWg9dMSaIl3LdgwxB/\nV29EoKs3UgWx9apeSvu7/MDl7hft2q7KgAFdAegOyd4FLjdOYjOvTUqrWQtKaeAS8Fry+blWUrk6\nDIN2E70X4Go3DBIGLX3dVigKGrAyGrZc0Mr5Pi82gK0AkMQkgUkKkySGd5zQx0lMwoBpvI6N/idO\n3aLuO/0IcYLECRJik6fRW7gUijx2Az9btTHBr7NJqbXWx5bSsR9tBF8TKlvZ86xVS6DzGtbcFcHQ\ns0EF1lzP2naH4lpKMemVPAXYlvRjPmLITM9hPdNzyDQIbzGkuXEb5wpwqSSDahOmANrhKOyNtj4P\nTSm4kodH5+BCVvxot3ZI12ZHi/LOHAWPjsOPr0EyBB8+ALtb4Ln60XnJL/vISTgxuPHvUyzDH38D\n3noc3rwJwHv5Enz5R/CbHxRT+lYspeDJZ+CHD8r92tsNXR2iaJUrMqJocUmM+O7Lt2nK5dzB3O62\nERXMXfNL8OoYXLgqZUnLFi/dyA7YOyRbb+fqkJcvweUpAbDLPiUsHqmFsIFVcsaUgvl8FcCuLUoW\nmFICDP2pKnwNtsv4odXKmo4S8/1EnQLmlh9DARiISzOLu++LNddZ6eiyowdeZZguCpC5ylfAENDq\n1WpXT7jq+VpPgr1SkHeWK13u5/4h2GGjCloedAU2D15KR0T41a0lfbykQaweupJa0XJBq8Os9XPF\naJ3KZXuAJSqXX9FywSuDU2dQkspQ0gdZ/uOEBq4kJnGMpsWHZo3+P5NQtvfUcfV/nv6y93kIkzgh\n4gSJ6X2cEAnfcfg1Ys6vXw7Kp65VSGOx6PnarGW16IT2rrV7pdGQdxy6wcBW1oPcZ7GZ9g1z959h\nJDDpxaSXIH0E6LsBJdAlR3HVVow6kp02XVfy3B0w2B0w2R0wiG4hpLljn14uSEdnScmL58EoHItL\no0CrAW26KE0BZ5ZEsTvWJhMEBlrkBxvPwlfPS6L4m4bg3uHNnWk7DnzuKYkn+O07N+cv+8/fh84E\n/NKbN/49HngKHnkO/uWnm0t238yanYPnXhT1a3FJOiTDYQGj9jbo7pLB5X090NuzPjN+o6WU5IOd\nvQxnr9QOXT8wDAd3S2lytSHgtg3X5uDVCXh1UhLyQQJUd/fC3gHY2y+5YCs9tZSS0uOVeRhdgKsL\nkNOdztGQwNeuDtjVKcfhNbo1l0owlpVYl+tZ8YNVfADWH4fBBAylRAXriTX3mC3YMFWEyZIo0VNF\ngTDdj4RhiKm+NwL9euuLSMTEerxWtpJOxhkLZiowa8k2Z9Wm1JtUoasnCN1B6AnJPrkJU31FG+jn\ntT1kQSnmXQBrAF1x7d3qNA06dANXp2Fo+Gqded5BkfMpXGnf3g9i9StIrbolm6GVLvk8jtHy96TX\nNZTdeuo29f3TD5HHIo9FgYo+rujPLerj24KYxDSgxbTCVg9u0ddQ6RBEZSv6SqPutqSBrb4BwS2L\nthGizednaydI9AapiUo/cWY1pM36YM299UGgS5c9/dt2qWoFXfK8qkue122FTXVU1C4X0rbQl2Yp\naRRwxz7lHQG0A1E4pjs5WzkHLl2RSQGnFwQOD6bgnm7Y1YLQ1rIN378Mz06LWvaRAzLmZaNryc0v\ni0t+2UaHpH/zCcks+4MNerUAPv93kMnDP/roxq7/Wlu2LSrYuVF45Yr8bqYBI4NwaLfA2FqxHwtZ\nCee9OCmqWNkSpWpXj5SK9/RJOXIlaHQcKT9emRcAu7pYLUV2xmF3pwDYcIfMhVxVmasIgF3XADae\nk6+BANiOhADYYFK2ribM944Sj9dkUcOXLkGm/SOTgtLt7IKXW35cz3O26NRC16w+XqjramwLLIeu\nLm2w38jLk9KlRIEtxYLjLzcu71yM6vJiFbZ0uVFDVyuqDe77RtqnZlU35Rnp65ErouHKLSX6QctV\nu6LrULfWsxz9fp3HJodNAZu83mwU9xo9r18oW8tT5qAoaEjLUdHHlvc1F+CcOnAzMUh4oFYLbK9F\nxa2Cw5KGNFdly2CzRIVcXTZbBJMOgrQTosOnsLURJHwDFDYbxTwO01ga0qTRwB+I26YbC/p9oLYd\nXjVLSajtqK24ajuMOdUxGT2mwUjAYERDWnILIM3RgPZyQSAtpwHtUAyOx2BfCxW0gg1PzsuUgLwl\nXVxv6YU960ghX2m9MAPfvSTNBR/aDwc6N/69XpmCLz0rcRk/t8Ek/dOvwndPw//2PujcwGxJpeD/\n/Twc3AUfeMvGbsNrYTmOdEq+dAleviwm/XAI9g1JGO7BXTKjcrXrj80J4J4fh2mtqHUmBcL2aTUs\nskLpVCkpP16Zh0tzsi9puaUnIVEouzpgpAvaV2kUcMuQY1m4lpFtTuefmYZkfrkAtjMpZvy1gN5y\npOw4WYKJomyTxWrAasCoer76IqIwD0QFyppdebsKXjMVmK7AtCVdj+4KGBq6NHx1B6E3JJ9vxFzv\n6IiIBZ/SNacUC1r98qtdJq5xvgpbnYZBlymqV7wF0FXxKVzutlS3ry8phnXJMOXtq8DV7gFX69/L\n/LBVv+V8+4KvMc6/IpgkCPBxY/B/XihrZikUJWwNblWAy2OR88FcveJWLZWGSBD0AC6p93FCr4kE\nfbdjdFHDmgtvixrY/CuuPWvtBOnQ0NZBiBTBbf9d8hrOpvU2hc2CDzAjGB6oSezH1pc/HT2BYNRW\nXNZqmh/SdgcM9gZM9gQMYi0udzoKRkvwUkG2giNeuCMxOBmHkRY1CVQceGYRHpmTjs2dMRmOvm8N\nZWKtNVuAr5yX+IA379xcOfPvXoYnr8KvnIJ9Peu//sQ8/MV98NE74fju9V9/MQP//m/gvXfD7S0e\nnL7VSymZIXnmVYGxbEFA7PBuOLYX9u5cvRxbsaQceXZMSpP5kqhhu3vh0CAcHISu1MrXTxfh4iy8\nOguX5yHvBi/HYW+3bCOdq3dEVmwBsNE0XNVKmAtz8RAMp6rbjoTk6q22LEdUr+sFga/xogCZN7PS\nhB3R6jYQFd9Xs6XHklMFrqlKFcD8sRJBQ49409DVq9WvjaheruI15yhmteo151O9/K/6AWTEXZdp\n0GXoY61+tbfASF/WKteSLicuYZPWx2kc8g1M8wk9LrDdB1op/bWtUrjKOOSwyekmPRewcj7wWgu2\nEnq0o7v3bzECXkj767p8uV3dlzaKok9dE2irKm0uuPmXgUHcB2vusX8L3+DGBFdhc8uhfnDL+566\nAQxSBD2Frd13vJ0BumVf+XNGg9ostue3C/tArU/DWvcWgpqtmweu2LJdcxxKSsqdA6bBHg1ouwKt\nbRywtYL2Yl5KnCUlWWnHY3AiDjtCm1e3LAeeWxI4WyzDcBzu7YG9m4Czig3fvwLPTMHeDilnJjZg\nQK/Y8P89Jh1x/+iu9Q10BinV/dHX4fb9ku6/3rUdJv9Wr6UsPH8enr8gHrFgQJSwE/th//DqIFaq\niBLmgljZglhYAOzgoChiK6XlV2wYnYeLc7JNZ+TrqSjs7ZIh9CNdkhW20ipUBL6uZuBqWkqRtiOP\nw/64wNfOFAwnJQNstceno6TkOF4Q+HIVMLcLMRGsha+BiKTeNwNGthLVa7pS3Wa06d5dYQ1fvS58\nadVrIyb7vFLMOe4G8/rzhbrB12EDrXAJcLlKV5dOo98MeDWCrgyKtJ4oUw9dQaBNVzoEtAyfn0u2\nVk6YcXSDXa5OzarflxvgVlTDVtwHWzHfPq6tNettuvsHKNumZeNoZc0iR7luX2lYJg0TIKHVNdmH\nSfo+v5HdpCUclqiwiMUClRpg8xdEpRwqqlonIboI0UGI5Db58hxd/pzEYsoHam5GTAiDPgIMEGCA\nIAN6DuhW3DZbKcYdxUVbcdmuetICwM6Awb6Ayf6AwYBptKyrqOJIc8ALuknAVvIif3MCTsYkv2gz\ny1YSQPvwrCSFjyTg7b0CaRtdz07D9y6JqvGJQ1JWWu+aSMNfPg5H+uGjN63/+p/9oXiLfu1t67/u\n/U/CT5+Hf/Xp1c3uN3o5jnRMnj4r3ZNKiUH/5kNwZGT1gecVC85dhzNXBcRsB5JROLwTju6Ekb6V\nOxszRTg/I9ulOQGzYEBKkft7ZOtdJci4ZMFoBi4vwZW0dEYqJSXHwQTsapM0/OEURNe4/7MWjBXg\nWh6uaSXMLUFGAwJfg1EYisnWbN5X0RHVa7ICE2XZz1hVuDORUmNfCPr11qeVr/XNq5Ry46yjmNHb\nrIavfF2OWIcGrW5TlPtu06DHMEgaG+9idD1dizqvcglHHwuANYIuv7rVoQHMVb7W06W41hJ7koBV\n1ttE6fIrXvVkE8Ag5gOuhI6gSmrgShAk7lO2Wr1e11B2+NRx9denv0GUEFHCNfsYYV10u/ElRHDN\n+rYHalkNalkq5CiTpVIXirEWtIVvSJeldLrYy4BtgUrNmKqgjvToIESnb2vbhlKoo3PVBNIsJnUJ\n1FXUIhg1kDZIkMQW3JcVJU0Dl2zFRdthStdD4gbs0YC2P2C2zI9WcEQ5ez4vpU4D2BuBWxISVLsZ\n/5mly5oPzcob3cEUvKMX+jbYrTmRhS+dk8HLH9wPxzdQhnz4Etx/Hj528/rHMH3vNLwwCv/Hh9ev\n/H3xB1LC/N2Pre9627UyOZnL+fQrkM5Jhtgth2RbbSSU40hcxfNX4JUxUcRSMTg2DEeHJcC10X3l\ndkmenRIQm9BxFx0xONgLB3pFDVspSNVyRAG7tCQgNq4hLGgKeI20wUi7ANlqYay2gomCwNeY3tyR\nQwFDAGxnrApgnU0oykoHrE744GuyItlf7koGJBB6wAdfPcH1dlYq5hQeeM04itkGPq+EgcCWBq5u\nDV8dhkw/2ciyUCzhsKDjjJb0tohDGrvm5xvgAVb7FkKX29xWhawqcLnQlW9QTnSn7PghK6khyy0x\nbuWkHUdX1Qq+rfq5jYPD24zdr28o+7PTf0ORMpVldkAIYBIjTJSw3ocaApz5Gsj8cr1tWQ1o9Ypb\nI2iLESRJmJSGNBfYkoSJEdz2hP0itoY0KYUKrEmHqLsCGDWqWqdW1tq2+PY6KK/kOalhbcb3pG7H\nZAdBdmhY69+CM6WMo7hkO1zSoJbVz7kB0+BAUCBtZ4uCbOcteD4ngLZoy+zNk3G4NQ4Dm8gkKzsy\nwumnc+KVuaUd3torSePrXbkKfPmceIPeon1m6x3r81+fgIUC/N7dayez+9czF+HbT8Hvvxe6V/FA\nNVr/9guS0fXhDahsW7nGZ+CxM/DSRSnT7dsJp45ImXK1mIzZNDx3WWAsU5BS5LFhOL5LvGKNFDGl\nJCvs7LTA2EJe/nbDHQJiB3tXVsOUkqHclxbholbDKraU73amYE+bdOsOp1aHsKKtVbACXM3LsauC\ndYQ1gGkQ2xFde4qFG7TqAthERSZy5N1oCwS2+kPyHOrXIJZaR0HDVooFBdM++JrWJciaqSkaunrM\nKoT1bsJcX/GBV1XtslnQZcfaZjCDDg1ZbRq8ZC9fa8VJta3Liv6xhtXpOPJ5fdh6AIOkhqyED7Jc\n8EoSILJFwOXCVt4HWe7nhbqt3n8OECFIjAAxQrzj9Qxl/vKlhU2RCiXKFKlQ0PsiZQp6KzUoIYLc\nYVVwqwJcjIh3HLzB/q96aMtSIaOPM5SXPRhMDE9ZSxEm5TtOEt5W434FxwO0eSosUGaeCtk631oH\nQboJ00WIbkJ0ESa+hfd7BcU0NhNYjGMxgU1GvzQGgD6tog3prZVqmtKjoS7Yigu2w5gtf72oAfsD\nJgcDJgeCm89HU9p/9mxeujhtBYNhOJUQD1p4g79S3hLV7KkFeTO9pxvu6l5/XIftSGfms9Nwshfe\nv299I6CmMzKG6dgAfPhk89dzzf4fuwuO7Wr+eoUi/PFfwzvvgLs3UDZt9VJKRhw98hyMTkqn4y2H\n4Paj0N2x8vUqFrx4FZ6+KB2Upgn7B+DmPeITa5Sir5SMLzozAS9NQrYkJcU9XXB0AA71rgzGZVuU\nsPML8OoipPWIou4Y7O+QbXfb6qb8gg2jebiSk/1kqTqwfUDPfdwVh+FYcycJeRvGygJe1yswXgdg\nvSEYCsGOMAxqFazZx7cbpjrpyPN8ygdffvmgwzDoM6tbr4awjWR4Ke3vmsdhHpt5DWELuovRvyIY\ndGng6tT7Dg1esRaoXW5FxZ1o458jndEqV/07cRSzZn500ne8lQpXBbsmSqu6l5gtATB7Rdhyw+tj\nBIn64rZivq/5329f1+XL9XrKZEio5cGaH9pKGuQKlCkvi8GDMEFiGtgiujwaqwO5GwlucuZRqYG2\nLGUylMlQqVESTQzihEh5JVFR21x4265pAWUNa/NaVZvXm78rNIZJF2E6PVCTbatuY0b708Y1rE1i\neY+GDkyGCHqg1t3CF4mCEvXsguVwwXbIK/GJ7A4YHAyYHAqadG6yzFlw4Ewens6JHyZqwk1xuD0h\nnV4bWQtl+OG0jHFqD8G7+uHoOgdZKwWPXIf7r8ob8ycOrW88048vwE8uwqdul+69ZpZlw7/5Gtx9\nGN6+Dpi7Mg6f+y588t1ikL9RSynJE3voWZiYhfYkvPE43HoYIqsoofMZePKCqGKFsgz3vnUvnNwN\nyRXM9lMZeHECXpwURSwYgAM9cLRfSpPRFf5Wi0U4tyAgNpqWMmU0CHvbYV8H7GuHjlXK30UXwjSI\nuRAWMkX9ciFsKLr2+CFLifrlh7AFd3QSUnIcCkuTzI51AlhFieI16YOv6TrPV/sK8LWRBqCCD7wW\nfOC1WFdqFPAS6PKDV3sLwEtp6PJPpnEn1bjKlx8DDSCpp9L490nfvtWv6VV1qwpZeQ1Z7pbHalhl\ni2qgintwVQtacYJENmjF+Qco28ByVTdR26pKW1Fv+VXALU7YU9jieu+HuRvhcXNVtoyGtLQHbgJs\npbrfJU6INsJ6i9CmYW27Yj6K2MxTYY4Kc5RZ0LDmytkG0KEhrYcw3YTp0aG/rV42iilsxrSaNo7l\nmVujGOwk6G19BFpSgnWUjIM6Z4mK5k4a6DcNjgRNjgRNejdj3lUye/OpXFU92xeBO5ISTruRb3sl\nBz+Ykk62vQl494DkOK1nnZmBb16U2YK/chRSzc4TtOHPH5Xf63fvXn1Won/92fehY53J/k+8CN9/\nFP73T0KyBQG7611KwcUxmSgwPisp+2+6BU7uX7lEqZSMN3r8vHRRGgYc2Sndp7t7G/+9cyVRxJ69\nLlBmGtIpeWIHHO5rDGJKwXQezs7LNqXnWXbH4EAHHOqCXamVM8JsJbEUF3NwMQvXiz5vmYawPQkB\nsrX8Wlmtgl0twVVdinRN+O0BUYuHwrBTq2DNKsZFrXBP2BKPM6m9Xy6AhA3o1QDWH5C5uv3m+iNy\nZCyfO8bOnCy/vgAAIABJREFU0aPs5NifTh8A2n3g1UWALr3fLHi5cUr+sHLJwRQY82tdBhKp5Fe6\n3M2d5dzK9w5/lJU/vsqfjlDAaphB6g+Od5WtRM0UoCCBLRQm/gHKtmjZOMugTbaSd1xP4CaGD9Jq\nwc3db+WDYaVV9gFbhgoZSqQ1vJXrFLakBjQ/tLUTJsrWtqGJNG9pWCszS4VZyjWqWoKAhrQQvYTp\nIdzywe5KdyJdx2JMb+6szzAGQxrQhnUTQSsgbcFRvGI5nPWVObtNg8MBk2PBzXVz5mxRzk7nxNDc\nFRQ4uzm+/nBKR8HTC3D/jHjP7u6Gt/Ssrxx5aVEaABIh+NWjqyspNdebg79+Ct66H96yv7nrfPVR\nGQX0T3+h+dv37Z/AK6PwB7+y+diR9a6JWbjvcUne70jCvbfByQMrd0HaNrx0DR47BxMLMmfy1H6B\nsVQDVcxxJLbi6TE4Py1/z6F2uGlQysONSpNKybzIl+bg5TlYKMr9sisFh7vgYKdA2UprvixzWC/m\nBOzLOupiKAr7khJevDO2+mNI6SiKqz4Ic1WwoCHQNRyBYQ1izXrACkoxbktHtQtgC071fTJlyHNv\nQHdUD5gGnes8WfJPOpn1gdccNqWaLndRvbox6SbgKWAdm4z8KePUxCH5t/ocyxCGN3tZpsVIrmVS\nb6304FpemkHFB1zVLNE81jKbvwtcCQ1Z/rB3dx/Z4uY/gcWKrsJV9HHZO3ZwuNM4/PqFshOnTqjv\nnf4eEcKEvX8jBLcYEJpZCqVr1aWG4JbXQOe/1w0g2gDU4kRuCLS5ZyNLlH2lUIG1DOUagTpCkPY6\nda2dCAlCW2rgL2B7ipq7X6Ti3bIYJr2EPUjbClDL+CDtGhZz+sUsgsGwBrRdhOhpQbkz4yjO2Q5n\nLYcrtpyhd5kGx4ImxwImfebGFDRbSefm41lRGKKmlDXvSEp32XpWzoL7puD5JZnv974BUTiaXdcz\n8PmzOrLiKHSt8qbuX19+Di7MwD++Z/UEeHc9/DLc/wL8y4+snDpfvz77DSkPfuq9zV2+FSubh/uf\ngufOQywiMHbb4ZWVMcsW4/4jZ2ExJyXKOw9JibJRHlmmKIrY02MyyioRhpuHBMb6GjRBuIrYS3Nw\nZlZAzDSkLHmkW0BsJZXTcuBqQUDsQhZmtbesKywBxXsTErsSW+Uxp5QEsY6WZLtSqgaxJgMCX+62\nI9xc13FZB0P7IWzOB2BdZhW83G29o9aKOMz6VC83c7HgexeIY3jQ1e0pXwFSm1C9LF8eZXVfYakB\neCU0aLX5VC5336pMSrEROcsio1z4ylKhWFe9EUGjNvcz7lO2XPVrq4Cran0qNwQu1wq1km89TNBr\nLrzr9Qxlh04dUn9++s+WfT1AgIjvI6z3Ue8rUUKvga5LqXmXyVPSmwBbTn/e6A8cJUSCCDEiJIiQ\nIEpcH29neVTO8CqeorZEiSWtsPmfUCYG7UT0JqDWQYSkHlS1FcvCYY4KM5SZpcxMA1DrI0IvYfoI\n00eESAsfCzkcrmFxFYurVDwlLY7BLkKMEGSEEMlN/syCUpy1HF7UgKaQGZ3HgiYnN+FBGyvBT7My\n2sk04JY43JOCjnWe61zKwXcnRA25vRPe2d98mWgqB3/1sigkv3p0dbXFXYsF+E+PwPEB+OCJtS9/\n7jr8zcPwG++QuIe1luPAH31OgOjn71r78ptdjgNPnxUgq1hwx3F48y0r54vZNjx7GR56GdJ52NkN\nbzoqxv16TlcKri3C46MyuspR4se7bVjKk41KjJmyjMx6fkagzDBgTzuc6IHDnSv7AAu2ANjZjJQl\ny478XXfH4WASDiQFylZaSsGCDReLcElDWEE/mdsCMs1iJAK7w6L0rh1zoZhXcNV2uGaLVWDGqdq4\n2wyDHQGDIVO2wcD6Gm6U7nR0p5FMawBL+05iwxh0Y9Kjx8b16G2jc36V7mZc8HW+L2r4ytaBl8xG\nDukA8GogeBvBlsUsuUqXvxnND131VaQApi9YXVIF/EHrW5km4OAssytV95VVmwTDBInoVAe3KTBS\nl+5Qn/Dwui9fPnb6McqUKVOiVPOv7It6X3+HGqBhLexBW8QHbe7RjVTdXGhzlbUqvAm41SttAUyt\nqoU1qFWBLa5tiduxStikNaAJrMk+S7nmtrpq2nbAWj2oTWtQc++/doL0EdGQJj61VnkglrA9SBvF\n8jwhPQQYIchuQgxvUv7PKcXLGtCuavPMcMDgZNDkeNDcUBfnXAUezcJzeXljPBGHt7TJG1+zq+LA\nAzMy9LwjBB8clDfjZpYfzD59TNLa11o/PAePXoHfvhMGVsnkAlGR/v134Bduh9v2rf295xbhP35Z\n5l3ecqipX2HDa3YRvvUTuDYFewbhvfdAzwrdlErBmVH48YsyFHy4B+49LnMn6//sjiOdk4+NwviS\ngNQtO+G2ndDdQM2s2PDKvIDYxSX5WTtTcFMvHO1eeSLDUgVeycg2mhfoS4XgUFJAbCSxOqBnbQGw\nS0XpHnZzwdoDkr23W4NYMycKJaUYs2WO7ZituO44FPQTP2rAkGkypCFscJ1zbC0dteMfCecvPZpA\nVx149eioiY2cQFso0rqT3YUvd3ReuQb6zJoJLG5mZKtmHDv6pNz1Jmc94Co3VLpCGrpc2EpSO91m\nq8qKFnZDyCp6myhe9fQT1HFakVXitCKENlS5et1DWTOeMiklVjSqFfXeBbeyd1yhsuy6QYJENaTJ\nPup97n4EblDXpetry1H01DX/Vn82EiPsqWuyVdW27QC2Cg5pSixqVc2FtRwVr904iEmHBrQOot7x\nVnjWSjjMUGaaEjNaUXPl/AAGfYTpJ0K/3sdacB8p/SJ+Wato13V3ZwiDXQTZR4gRQrRt4oVz0VGc\nsRzOWA4zjiIIHA6a3BKUsU/rLW+mLYGzp3NS5jyp4axzHX+Sq3n45jgsVCQ+497e5sI1p3LwuZek\na+/Xj69t/i+U4T88LF6oT67xsqcU/NHX4Ja98O5b174t7nil3/oQDPauffmNLKXgsRfggdNSanz3\nXTIKaaU/2eg0/OBZ8YwNdMLbT8D+HcsvX7Hh2TEB1sWCDPy+Y7eUKMMN/o5TOXh6Cl6YlXFWHVE4\n2SMwtpJqma7Ayxl4cUkyw0CaPQ6l4HBSAltX+j1sJWXzV4uyTeiX4pgJeyKy7Y00p4RlHcU1RzFq\nO4zaYsxX6JgLrX7tDBgMB0x61uEBq/gAzJ0gMutzNrnzeP1bDwFCm4SvBR3OPU+FtE/xdzsaXeCq\nhnVLWOpmIcfGWRa95DaHZSnXCB0mRh1suRFMAmJbAV2uaLHcHlQVMlZLUqiHLH9T3lYGz/8DlK1j\n2dg1wOYCXJGi928jcAsRaghu7keY8LZ3Xbo1cL+ylqNIliI5iss6Lt2yaIIoSQ1t7n6rfWx+WJOt\nyDylmtsYI0gHUTqJ0EmULqKkWqyquW3eUxrUJikx6zv/bCfIABFva2+Bh6GC4hoWl6lwiQpL+qf1\nEmAPIfYTYscGXyCU9sk8qxW0opJcpJtCJrcGTdrWWd7M2vBIRpoCHAWnkvDmVPOes7IDP5iUyQA7\nY/CRIZkruNa6nhHFrDMqitlao3V+elkUs0+/AXZ3rX7Zz/4QIkH41FvXvh0/Pi0RFP/q06vPitzo\nyubhGw9Kd+XhEXjfPSt3eKbzcN9zkjXWFod3nIQTuxvD2Olr8MglyJUl3PVNeyXKov6ytiNm/Scm\nYSwjJcxj3XBrn0SVNOzStOClNLyYFvAGmRl5rE2iUbpX6cDN2TIa7FxRFLGSjoHZGZYu4H3R5ua4\nph0ZazZqK676vGBBZLzZroDJLg1ikSYBzA2bntTROFNaAataIAwGdMf1gAaw9g2oX1LqtLw4oHnK\nLOguRz98tbE8cLuD4KZjJGwUWW1BSWvocj3D9dmXIUyS2jfsxii5WZjxLfAOuypXvb3Hn4ZQTy0h\nAjV+bD9sucfb4ct2cGoqeK70Y+Nw0Dj4D1DWymVh1ZRIiw3AzaLepGh6gBapQzb3s+32t1WwPFCr\n3xd94CmtzhGSPkhzgS22hbCpUBSwWNKgtqBhbdFXinZVtU6iGtREXWtl3o2l1bQpykxpUCvql8sE\nAQ/QdhCha5OePoViDscDtOu6lSKJyT5C7CPErg2WOS2leMVWPFuxuazLmweDJrfpSQLrUc8yNvwk\nDc/kRO26Kwl3p5r3i72Uhu9MyPGHB2Vk01rr4iJ84azAwSePrByrAAIif/oQ9CUlu2y19c0n4OIk\n/PMPrH0bvnSflBX/8cfXvux615Vx+Mr9UK7Az98peWON/iSOA09cgB+fETC+54hkrdVDomWLcf/h\nSxLyurcb3rIPdnUu/77ZMpyeki1bFiXs9n4J8403KE9WHDiXgRfS8GpWbkdfBI63w7FVQEwpmQ95\nvgjnCqKMKcQXdiAqsSx7o9JkstrKKcUVuwpisxrCogbsMk12Bwx2BQx2mEZTo4fc0NUJrYBN6skf\nblHLBbB+AvQToE8n3K/3uV7UTUlV+JJj9+dsFXy5/l9/k5bbaV+veEUJ1gSNu8dJwkRbrB65jXAF\nDV0ugLn7euGgml4Q0dFTtdAVI0xoG1IApOpW9MFWFbr8Rqp6ojKACFHuNu55/ULZTadOqAdP3+eJ\njyHCGK+BkUluqbRIkSIFjWsFD+BKlGou7/rbYkSJEiNKrObfMOFthbYKtqeqZSnovShs/o7LACYp\noiSJkSJGkigpYiSIbNnttVGkKbFAkXm9LVLyojvcxoJOonQTpZsYnURadnbkntlOUGKcIpOUPCNt\nBJNBIgwSZYgoHZtU0go4XMbiVcpcwaKMIozBPkIc1GXOjZRGFhzF0xWH5yybnJLOstuDJjeH1uc9\nm6vAA2l4qSAxA29rkyiNZr7FQhm+PCYDou/tleiMta73/Ax84wLc0ifJ/6td/tHLcN85+M03wtAq\nyfaPnIUfPd9cB+af/o2ULT/2jtUvt9719Fn43iPQ1Q6/+E7o7Wx8uelF+OaTMD4PB3bAe26Dzrph\n7kpJvtgDF6RMOdIlMSGNFMPpPDw6Lh2UtgMHOuGOAQl2bdQYMFGU4fRn0hLs2haCE21wU/vKM1CV\nklmRLxdkm9PvsztCcCgGh6Iyqmi1v6WlZ8i+ajtctJWX2xcxYNiUkvyeQPPRMLae5HEdi+s6KNr1\neQaBXmTcmjt2bb0KmKu4z2r/aqP4niimDsKWCJ9uDWGbgS+33Og2Xbn2kPpO+SCmB1yur9c9DrfQ\nxuKWF+vtNe5xfWnRHYvoTxzwe6S3upHNwfEBV6nm/dr9rJE/HaRatpJD3f2K21z4ui5fHjm1X/3V\n6c/4vmIQ0r0Q1T4If/VY/uSBLWydbWZVy6T12OaCW7EuKsPwlLWYh24utsX0W/PW/z5uBktGA1qW\nAhmKZChQ8Jn4xV8Q0bAm0NZGjCSxLZGO3TPBeYosUGKeAnMUPbOpC2rdROkiRjdROvR5XytWxgdp\n45S8WZ9xAuwgwhBRdhIltYmzOAvFVSwuUOZVKhQ0oO0lxCFC7CG0bgXNVoqztuKJis2YrYgYcHPQ\n5A2hAF3rKG1eK8HfL4nyMRSG93TIfq1VcaQ78/klOJyCDw+trbY9cBUeGoOfH4E3Dq58uZIF/+4n\nohB9/OaVL3d2DP72Efitd8HgKqXOUlk6L992Ct7chP+smaUU/PAJePQF2L8TPvr2xp2VjiNZYw+c\nkbmU775FRkPV88fVBfj+WRkIPtAG7zwov/+yy6VlgsL5BYkduaUX3rADehp4xQo2nFmSkvNkUZou\njqbglg4YWQHAlZLU/JcLcLYomWEmYsw/GoODUWhb5amglGJWwQXL4aItjSsWEpQ6HDDYFxAQ29Hk\nnNgiDtd9EDbVYEqHC2A96ww5ldxCywdgEs1T0hBkIEHXPT746iK8qXiJCo4PvAS+0pTI+ry5hvZ4\nteuIohRh2jWItTI6or7i4oeuYgPfWS1sVYFrq8PV3XLi6sBVXjZKSapctc1/Yf1ZWB+tVzR5XUPZ\nbaduUw+dvp8yBapTL4s1e6tOlQIwCTYQP12Qk+PgDfCBuUtadIsa0/xKm3xW9gEQSDNCzPuI16hs\nkS1UrfzLwiZDgQwFchTJaGjL+c4sxJgqalqKOG1aYdsKZU1axC3mKHiK2pzPSxfApJsoPcToIUY3\nMeIterFKYzFOkesUmaDknSG3E2SnBrRBohvugrK1D+08FS5QpoAigsF+QhwhzK4NtI+P2w6PVxxe\nsuSvdShock/IZGi1OqFvKQVnCnDfkniFbknAO9vFqL3W9Z5YgL+fkhLYLw3LuKbVLv+35wQoPnUU\nRtpXvuz95+GRy/D790DXCjlp04vwZz+Aj94Jx3ev/L3GpuAvvwX/y7vg0Mjqv1Mzy7LEP/bSJbjj\nGPzcnY1DYNN5+PrjcGVaUvjfdwoSdapUuiiq4IsT0BaFdxyU5P16XhlNw4PX4PKSlCXvGIDbBxqX\nKCeL8OS8qGIVRwZ639oBJ9ohuoKYMlORMV5nCgJiAUPM+Ue1IhZfRYSpKMWorThvO1ywFIv6/ajX\nNNgbMNgbMBkJNDeWKF+XGzijs+dlnm2QIT3TdpDgumJpFIoMttcU5MbtuK7TAIYGr7C379mE+mXh\n1MQNuZ7bRl3stfmQctwqG0cZqwa63KpJluIytStC0Ov6928JjS9bF4NkeYJGVe6ofpQoLQOuAIEa\n4ArXoFc1OqvVHPAzAWWGYfwJ8AtAGbgIfFoptbjW9ZrxlDnYGtiqjbEVipT0qNGSBjqWEXKAEFFq\nByXVVrQDNyguw8bWyJbX2OZ+5ClQrHnwSR3ehTX3KE6MOFGiWw6eDg5ZraZlKJCmQJo8eV/NXSYF\niJrWRpx2vUXY4EDGFZZCkaXCnFbSZsgzT9GDxhhBeojTQ4w+YnQR27Sa5p5Jj1FkjALjlLBQmMAA\nEYaJMUx0w340RwPaWcpcoEIJRQKTI4Q4RoTedZYjMo7iyYrDacumqGBXwODNoQB7m/SdlRzxmz2e\nFSB7dwccW6Xrzl2vZuEr1yFkwCd3iVl8xZ9hwWfPSAntd05CcgVVLlsStey2nfCeo40vU7Hg//kq\nvPUEvOXYyj/zhQvw9R/D731s5fJis6tiwZd/CBeuwbvugDtPNr5/Lk/BVx+Ty7/nNrhppPZyjgNP\nXZNSpa3g7hG4e8/ybsrrGfjRVYGxZBjuGYTb+kUl8y9HiVfssXkx7YdMONkOpzpgxwodl1lbQOyF\nvHRMGkin5Mk4HI6t7g/LK8U5y+EVS/xhFSAE7AmYHAgaHAiYtDeh2BZ1LqAbOzOrT4KCwKAOb95J\nkAGC6yr3F7GZ1k0/0zpGp+QDsC5C9BH2wqk7Nmh2d5X+RW3LWKCa+ei+lpsYpAjTSdSLD2rXhvtW\ngI5VY1mp2lVyDcqMjbv4Zb9VXfwVKr5aUmEZdNX7uF3/lri2YzUteC56BbexYqZwdPhGmaTR8TMB\nZe8CHlBKWYZh/DGAUupfrHW9Vhn9pZZcVddq4+OqvR714BYk7ImvVYCr5vCHiGy72ubg6DOFwjJg\ny5OvGU1hYmpUi/tQTf7d6o5RC9uDtTQFMuRJ15VBo4Ro04qaC2vJFjdF2CgWKTJLwdsy+ja4alov\ncXq1orbZaA4LxRQlxihyjQJzuqkiRZBhouwixtAGz3ItFJep8BJlLunurX4CHCPMYcLrCqYsKcUz\nFVHP0koxZBq8ORzgQJNwNlWBby9IGetgFN7XsXrJCmC6CJ+/JmD3S8Or55lN5QTMXOP/SjfpGy/A\n2Wn45/dKl2Wj9Zlvwb4B+OAdK/+8nzwNDz4Df/hpCG7iIVCx4Avfh9FJ6a687cjyyygFj74CP3pB\n0vg/fhf01imC0xn41otwfQn298B7jixXA2cLMuT97Jzkid0zBKcawFjFEa/YY/Pi9esIwx2dcHNH\n42R9W4lZ/7mcdE86SLn6RAyOx1fvxl3UI8Ne0WVJhQzrPhg0OBgQk35ojceXhWJCZ/6N6nKkg8TK\nDBFgmBBDesxZsyV9B8U8lRoAW9DPTQPoIuTBVy9hOglvrOEGx4Mv/971xBoYJAnVRAJJ2THSkhPE\nAuUar3BOK1+FOmN6jHBdF76AlxsX0erlQlex7l+3RlQPXW5UVX3DnNtIt10+bIXCorysQrd8L8KP\nSZDbjfe99qHMvwzD+BDwUaXUL6912e3svlQ4HqhVm3PzNfBm18VlGJiestaokr7d0CYxGWXy5CmQ\nJ6f3LrT56/9BgsS9jwQJEhrYYlv6YC9R8dS0JfJkyJOh6MGkNBfE6CBBO3E6SJBqsVetgMUMeWYo\nLFPTOojQT4J+4vQR3zSkZbG4RpGrFLhOkQqKIAY7iTJCjN3E2Mig9TwOr1DmJcpMYRMADhDmJGGG\n13GGaCnFc5bDT8sOixrO3hYONJV35ih4Mgv3p6WU9d4OOL6GapauwF9flfDRX9wJ+5MrX/bpKfjO\nRXjXCNy1gr/s+iJ89nF43zE4Ndz4Mv/tfplc8GtvW/lnffNBuHQd/tmar0orL8eBr/wIzl6BD79V\n5lbWr4oF335KwmCP7YIP3A7hUO33+OkVePBVgcx3H4bjdaXKQgUeHIOnJsUDdtcg3LljOZQWbXhi\nXsrHeUtiSu7qFn9fI4FqwZKsumdzMtYoFRBF7OY49K4iai851WDjcW3S7zMNDgVNDmtv2FqPpUVs\nrmBxiQrXsKh4anOQXQQZ0b6wZsHFwmGaMpO6o3rKV4Z0J364OYV9hDeUdF/B1h7XIvPaRrHkU79C\nBLwcxk4d99NBdNOp+g6KPCWvOpGh4Pl//SflIQIedPm3rcitXC4WSKXHrfesBl0RIl6Vx3VWh1pc\nRWm06oHLDeRwK2xu1c2pywOV2x/RLrlqGpprk+o0dvzMQdl3gL9VSn1+rcveeupm9cTpnxIk9pro\nurSoaECrbfB1+07q/W0mgZpyqJu9H9X7wDYZ+KH6pHEVNfcjR66mW9TAIEaUOAkNa1Vo26rpBw6K\nLAWWyJMmzyJ5lsh54bhu+bODOO0kPGBrFajJNIAi0+SZJs8seS9FqJ0IfcTpJ86Afjnb+M9RTFLk\nCgWuUCCHjYGUOfcQZw8xkhv4/tNYvESZF3WjdicmNxPhGGGiTd5Htoazh8qinI0EDN4ZDjDYhOds\nrgLfXIBrZSll/kLn6mWtnAX/4yrMlATMVorMUAq+fF78Zb9zEnobKGtKwV88JmrHb68wGunrj8Po\nzOqDyf/7t0Un//X3r3yZ1ZZS8P1H4cmXJPLijQ3GQOVL8MWH4Po8vO2ExF34WWWxAF97XsYjHRsQ\ndcw/JFwpeGYafjQqwHVbP7x1eHnqft6SCQtPLEDJlvv37m7Y1QCYHSVhrk/lZA+ifJ5KSoTFStXF\nrKN42ZYA4zEdwTKgR4AdCZp0r1GWtOry+9xRZR2Y7CHEboIM69PaZlYJh0lKTFBikiIzGsFcFWyA\niA6KjpDaQPRDBZt5isxS9DrD077XzTghL1/RzVpMbvL1XVL1i6T1iWvWA7BizQl2jLD28UrTlQtf\nrTbW29h1VpoqftXbagzPVlPfuCafbUdpUYxN/rjZtYHLwPQ1EFb96CEfdIWIYK4Cta8ZT5lhGD8C\nBhr81x8qpb6lL/OHwCngw2qFG2QYxm8BvwWw50jfbd99+TMYGASJ+UaU+o/l8xBxzBs4MgnAxsI/\nMMl9IKwEbQFCvmr9cqVtu2IyLCyfrpbzcC1fp65FiZIk6cGa++9WwJr4MEpaUct5oOYa+U0M2ojT\nqSGtgwRJ3fO02WWjWKDAFAUP1FxA7CTKgFbS+okT2uAZp0IxS9kDtHmtwvYTYd8GAa2C4jxlnqfM\nOBYhDI4S5hYi9DR5Oy2leNpyeLgscRrHgyZvDwfoWONN1lHw0wz8OC25VB/tgp2rBIsWbAGzqeLq\nYJarwH9+Drqikvjf6GY8MSpdib97d+MB2w+ckWiMf/3RxmZ7gH/3RRjZAR9qImS20XrwadnuOgnv\neuPy/1/Mwf94EJby8JE7xdTvXy9NwrdflOP3HYUTdcrgRBa+d1lCX0fa4d0j0F9XzizZUqJ8bF6O\nj7bBm3sa+/eKjihiT+ZEIUsF4NY43JqA9hUedhWleMVSvGA5XLIdHEQROxY0OdYEiOV1Rt9FKl4E\nTBBq5sV2Ntm1WNYQNk6JCQ1hYvY36CWsIUz261WiXcvDHEXtTy3UKGAJQnQR8wCsiyjxTSg7btmx\navUoLKsguHmSKV88kRtVtNHXoEbL72fO++Arr/st/W/aIUIrgNfWN6BJnljJe5+tzfmXfePKVrXZ\nz98M6NqT5DRgc7f7NQNla94Aw/g14LeBtyul8s1c59ZTN6n7T38VizwV8jX7+jscIECE6ox5d958\noubzG6m4udDmNha7ca7u15RPenZLo36bpesA2C5gc7tEc95Hlhw58uQawlqCpPexFWVQ98VrkRyL\n5FggV6OoSdhsgk6SdJGkk2RLmgnEj1JkihwT5JihgI2DiUEPMXaQYJAkXZtorFikwiXyXCLv+dD6\niXCAOPuIr/uNZQqLZynxirbx7ibIrUTZ2+QZakkpflpxeLwsnW13hQPcHTLX7I4bK8FX5yHjwLva\n4Q2JlcuZLphNl+CTwzCyQgflmRn42gV49x64Y8fy/8+V4DMPwl17pDOxfp1+Fb57WpSy9gY/w7bh\n//5vMgz8rWu+lC5fr16Dz38fbjoAH7x3+e+7mIPPPQDFCvzym2uHo9uOTCd4fBR2dsBHTkKnTxG0\nHOmofHQcYkH4uREZEO7/GZYDTy3Aw3Oikh1pg3t7oL8BjC1Z8FhWgoHLCnaF4Y6kmPYbjcVSSjHu\nKJ6xpHO3pGSg98mgyYmQSd8aIJbG4YJuUrmOhULCkvfqaRbDTZrzJXtMvJrXfUqYOy5tkCiDuhS5\nXr9mngqzFDw7wwIlD4YiBOlB8hC7ddzOZtRyG4eMrgoskSOtvbb+kXn1XlsXwlpVcqzaXHJetcQF\nryKIyK5iAAAgAElEQVSFGvASm4vbPhb3LC4x4ltaYqxCV+2AwWqVqlDzfgkictRWpsT77R63Aria\nWT8TUGYYxs8D/xZ4i1JqptnrreYps6lgkceioEEtR4WC3gu82dSHuPoVtyq0VT9PELgB5n2oetoa\nQVuRXA2E3mhgq4W1rG+f93UTmVpHE1hL6X2EVeSTDSzpuCxqSMuySI4ln8KXIOJBWhdJUsQ3rabZ\nOExTYJIck+SY19J9lCADJBgiyY5NlDpdQLtInnkqMpqGKAdIMEJsXW86eRzOUOY5SmRw6CbAKSIc\npbmB7GlH8cOyzYuWQ5th8HORAEfW8JsVHPjmvIzXORmH93dCcIWL5y3476Myf/PTuxurOkrBF1+R\nyIffuxnaGzyEvvA0TGXgn75lORSdH5ey4W+8oxaI3LWQhj/90sYGkWfz8OdfkxiL3/zQ8uR9F8hK\nFfjUvbDDl5VWKMPfPgdX5mVO5bsO1U4yuJ6Bb7wqhv5b++Gdu2TAuP9+eSUDP5yG+TLsS8Lbe2Gw\nQSflTEVGaJ3Rp8PH4/DGJAyu0NmaV4oXKg7PWg7TjiIEHNUBxLvX8IgtYntxLhMaNnoJsF9Prehv\nonzohjhLV7NEz5RxMIA+IgwRYQdRBtYJYQ6KBYrM+Bp/3AgKf4yOC2CJTZQAS1Q0fOU1fOVrSo9B\nTNqJe+Dl7sMtqjy45ca8PpXOk/MUML/HK0DAh1xxr5M/voXg5fq5BLoKHnz51a760qKoWfEVwSu4\nDT40/3Kwa4QiizwOFn3GzT8TUPYqEAHm9JceV0r9zlrX26zRX/J783qTOfdyJ1bhzVk26iGoAU1G\nr9bPvA9sQ8xE/XIfwG56zFrAFiGhz60SREl5wLbV2WwOjgdoWQ1rWbI1nrUwYVKkSJLSe1HVWnm7\nLGyWyDFPlgUNa+5oqRABOknSTYpuUnSQ2LQ3rYjFOFkmtJJWxMLAoJsoO0kxRJKODcL+HGUukOci\nObLYhDHZS4xDJOlfx9/TRvEKZU5TYgabFCZvIMpxwk0pFVdth78r2Uw5iv0Bk/dEAnSuopIoBQ/p\ncubOMPxit5TIGq10Bf7yini6fmO3dAfWr8Ui/Kfn4HAXfLSBGnZmHL72AvzaG2CkLiR2cgH+y9/D\nx++Gow2aAa6Mw+e+C596D+zdufz/V1q2DX/1PZiYhd/8IPTV/dzVgGw+B194Rnxk7z8GNw1V/89R\n8PAY/GRMBrS/f5+k8PvXTAn+bhIu5yT/7V39jZsmpivwkJ7KEDSkPHlXsnGJ0lXFntR5djYwaBrc\nGjI5HjRXnSuZ1Y0n53wgNkCAA4Q5QIiuJlQeC4dxSlylwDWKpPVrcztBL6B5kCiRdTxfV/OLxgl5\nXde9xOjcREROiYp3Qugq+f5O8xhhD8DcfaJFAoCN7aleWV3JyJGl4FO93AiJeM2HOIYjWyREKByf\nfUegy18dqq92BYnUQFfE58Pe7ogqF7gsjx/c45zHEY0yUgNEOGx8/LUPZRtdW919qVDYlDxoq97p\nWcr6zq9X2yTfLFEDbtWxrcltV9rqga26l80v8QYJez041aFJSSJbXNYtU/ZALUuWDBly5DxVLUiQ\npIdpKVK0tbT8qXS30jxZ5skyR4YMBUC8aZ0k6KaNblJ0kdxUmUDpUuc4WcbIMqd/TpIwQyTZSYo+\n4ut+8VcoxilxgRyXyFNB0UGIQyQ4RIJYk7dZobiCxeMUuY5FApM3EOEmImtGADhK3rB/XLFRCt4W\nDvCGkLlq6vrZAnxjXjLNfrkH+lY4mZ0qimLWHoLfGGmc/P/gNdl+4wQM13nHyhb8yY/h5iF4b11m\nWa4If/JNePetcEcDoHv+vAS9/v7HoXuVkU3Lbo/2kX30bXB8f+3/FUrwX++HbBF+9d5aILu+CF98\nRiD0E7fIvEp3pUtSqh1Ny2zK9+ypHdBeduAnM+Ibi5jwtl64rXO5126uIkD8YkHGFb0hCXcmGwe8\n2krxkqV4vGIz4SjCBpzUc1MHVmn0KGkP48uUGdOlyX4CHCLMQUJ0NPGYzGIxSkF3J5ewdXfyEFF2\nEWWY2LomZcgs2zxTHoQVPGWqkyh9Ov6mT+tAG1kVLBY0eDUCsCRRrxmpXe9boX45OBq8sr4KRa6m\n5GhgeK1Z/q76OHECWxB1IQ1kVYHALxbUlxhdwcDf7Bah6qfeLuiS90x/hS3rE29c4Couu16AsK+y\nVvW0V73tunnvZ6F8udF1IwaS1y+bskfHy7dMQ/N+FdJSWm1LaoBLrtq10eolZyr5GlBzJ11WfA86\nk4AHaNUeHlHYtgrWbGx9PpfxQC1LxheNEfAArc0Haq0C3hIVDWkZ5sh4JU+BtCQ9pOihjU6Sm1LS\n8lQ8QJskh4VDhABDpBgmxeAGlLoyDpfIc44ck5QIYDBCjKMk2dHkSYFCMYbFYxS5ikUSkzcS5UQT\nZc0lR/G9ks0F22E4YPCBSHBVk/dEGb44J0DxiW7Ys0Jw7KtZ+MI1OJKCjw0tL0OWbfgPz0J3FH7t\n2PL///Jz0rn4z+pKmErB//UVGez99pPLf+5Dz8ADp+Ff/3rzGWXT8/BfvgbH98GH66I2LBs+/xO4\nNisK2e6+6v9dnIUvPQvJCHzyNuj2edwuL8FXzotH7L174abe2u97KQffnoDFsoxBekcfJOpub8aG\nB9Ni4g8YUqK8K9V48kJByYzUJysOGaXoMQ3eEDI5uYoqppBxYC9pn1hFd/seIcwhwnSv8fqmdF7Y\nqG5wmdEw006QXcTYRZQBok1nhNko5igwRY5J8sz4nsddGsL6iG84g9DBqVG/FsiS8b12ugBWhbA4\nmx2arVDaHlKtN7gA5g+bjWt7iL9LPkas5fBV+z7iB7DsMvCSSPaEhi1/9n+CMNFt8XRVy4pZD7Qq\nujJm6eP60miAkPadJ5bBVsgHXM2s1zWU3XRqn/rh6T8lQJIASYLePkGAJOY215AbLYcKZV0aLZPR\nKltWPyCyDericcKkCHkjY91te38fi7IGNH/aTYayVnZAzmxiXha/OzipjXCLy43ucnAoUCDNEhky\nZEiTIYvjDRMO0uZ9tNOmR+y2YlnYzJFhlgyzpFkip7u5TLpI0ks7fbTRRnzDv7uFwwQ5rpLmOlnK\n2IQwGSLFbto2BGgLVHiZLBeQgVddhDhKkoMkms5DukaFR7Ry1oHJm4hxcA0vjVLShfeDso2t4F2R\nALcFzRW9RksWfGFOBlZ/tAuOrJAg/+gc3DcF7+yXGIf69dQkfO8S/NIROFiXvP/COHz9hcZDyj/z\nLdi/Az7whuXf8zsPwSuj8Ae/suKvu2x94ftwbQr+yScg7oNMpeAbT8ALV6TL8oRvtNO5aQHH3qQA\nWTJSvc4TE3DfKHTH4BcP1c6pLNkypuqZReiOwPt3LA/eLTti4P9pBmzgVALelGoc9Jp2FI9VbJ6x\nHMoK9gQM7goF2LeKVzCNwxlKvESZNA4RDA4T5ihhBtfwiCkUc1S4SJ7L5FnSZck+wowQY4Q4HU02\noCgUacraKpBlijwWDgYGnUR0Z3SCvg12JfpP1ubJskQ1kDtCkE7dQOR2fW8WwNzSY/XEVD78nq/6\nRioXwVrtHbao6PeDbM1JfIlcDXiZBPHHzvrjZ7djfKGk5+eXvddWS4uFmngOwAdYiYZboEXvI9A8\nlN3YrIgNLoMADhYVxrDJs3xUUoQACQIkfMDm3ycwtliZMgkR1dGA9UvKo0XvgVMmo48zZLmO5QMg\ngKBOnJHhGi64tREm1TSlN7uChEnRRYpaI4yN5UvEkYScDHPMMeZdJkDIB2tt2iHRRnCTD2xpDpAP\nt8nOlewzpPXHEqOMek+6ODGtprXTTjtJkht6sQoSoJ8O+pF38wqWhrQ0M6R5mWu8jLww99JOL230\n0U50Hb9zEJNhrZBJN1mOq2S4SoYrLBEiwDBJRmhngERTDQmdhLibTu6gnVfJ8xJZHmGBp1jiMAmO\nkVqz/DNMiE8Q5DIWD1HgO+TYQYB7iTO0wnUNw+CmUIA9AZNvlSy+V7K5aCveHwkQa/DG3h6ET/fC\nF2fhy3PwkS4xm9evO7vgegF+NC1hp/XwcWsfPD4hSfYHOmoVsf26K/H8zHIoS0YhW/t081Y6B20r\ndH42WmcvV0coxetUv8fPC5C99UQtkJ2fhr99Fna0CZDF9MPGduC7l+DZafHLfWh/bQjstTx8fRwW\nKwKp9/bKeCR3KSV+sfuWIG3LHMp3tENXgz/bgqP4acXmuYoU9I4FTe4KrVyidFBcxuJ5SlzW/p8R\nQryZGPsJrapmuZEvFylwmTxpLExgiCg30cYuoiSafFsqY3sQNkGOnL4tbUTYR4eOp0kQWedrvdsk\nNKcBbJ4MOV35MDHoIMEIfXTqju7YJoGjQsWHXhlPB3Nfy6Q6kKSfflKk9CthsqWRQ9J5WdBRs1lv\nXyRXUz0xMIlqb3InA0RJek1lWx2Kvvx9U94z/YpXfVlUyolJEuxYBlxB4ttaoWp2/UwqZf7y5f/P\n3nsFSXKe55pPZpb3vqr9dM/0YCwGGBiCAB3ojUiKpESJoiiRisM4e/ZiY+83dm/2cu82YvesInSk\nQ5GSSImi6EXQgBRIgCDhgZnB+J72XdXlvc3ci/+vrKxqP9MzDEjn68jI6u4yWVlZ///+7/d+72fI\nNUWXKj2q9KjJ2zV6VOlSQ2d01FXQ8EiA5scmNyt4+12ybT06EqiVTdA22A+7hvQZtn5r2sHtuw88\nQayihhsmCdDWtWgpHLgZdLYUQM2J99C/wF26kkcrmVCtX0wgGvgGCRIiKNm0w6ggatImQ4lNymQp\nm4UDITwkCJEkSAjfbVV29jBIU2ORMstUaNPDjY0ZAswSPJDVhoFBmjYXqLAgr6E5PJwjQGwfAFLH\n4CJtnqVJFZ2TOHgXbvy7AF3DMPh1R+fpdg+fovCHLm3HRudtXTBmSy34dATObgPMWj34ywXR7ue/\nzG1tkP36JnzrmmCUTo6waX/1vNj/pxGvsK/9m6h2/PIHtr7ef/0mhAPwxx/c8S2a0WzB//NP4HUL\ncb9mOba1PPy3n8L8OPzREwPAeCsPX3sJEj74s4fBJS/HRge+fkXox949Ce+ZGjxGN+CXWfi3rNDZ\nfXocpkbO1WYHflCEWy0Ys4s+pNPbVKYWdYNn2j1e64rqxQfsKk/Ydy7UaKBzgTav0aKIjg+VMzg4\ni4PgHmNNUTJi16hRsgCxOTwcYX/dK/ps2CpVVqmaKUkHGkm8jMnNf8BFoI5BmTo5KVnIUTH7Pjqx\nEcFvVmrfaQFQf4waMP4V6pYx3YlT8l5+U097mPIMK/ga3azFbUJnPCgG60tY7nYVv0GPDnUTcLVH\n5r/RAryBvdWg6G4gC/LckzlwNHQ6Q/ijRw2DDmHlsX+/TJk1FDQTVO0Uuuy4KE7SYN+lQps0dW7C\niLeJissC1PyWLYCG/64a0grGSdgQbvdeBGAToE1sFcosDRUfCHsMnwnWRCc1sT9MStaGXdYrDmbB\nvpdMnZJk1YTVa5E0mKs/O24CQ7JXN/470hbYsBGWP/1o0qRMiRIlihRZZAEDUXXkxUeQIGHCBAnd\nli2HCwfTxJkmLieNOhlKpClyjTWusoYDGwmCpAiRILTv9ImGwjg+xvHxKDpr1LhJiasUuEyeIE7m\nCDIrFSu7hYJCCicpnFTpcoEqb1LlOnUmcXGeAGPs3A1cReEsTu7DwW9p8iJNbtDhcVycx7kt6FQU\nhccdGjOawjebPf6m0eWjTo3zo00YEQL+z0cFMPuXvKgIHE1lOjX4zAT8t1vwgw1x2xpnYkLw/6tV\nwS5Z2bK5KPzypmhqbmWcPE7Ilrd/z6UqzGzjf7ZdPPc6VOrwuQ8NA7JmG/7pOWGN8YlHBse0XoZ/\neBnCbsGQ9QFZpQ1fvQS5Jnx6Xoj6+1HtwrdWhYbs/iB8LCXOST+6BvyyDL+qgkMRfUfPe7eK/au6\nwTOdHi93xJj3sARjgR3AWI4er8gUZQeDSWy8U7Jiu+kMm/RMIJamjQKM4+IBAvsGYjoGGeosU2GV\nqmlTEcbFKaKM4yN2QHNoYatRJysXUnmqph+YBycpQrK4x39HlZA9elSpUqYsAViZ2ggACxAgRQq/\nVMgeluwCoE3THH/7i2UBvgbSGTsu3PiJMy31wkJDbD9kiyJrGPRoUzPnLgG6KibpsNWXU0h5PCTN\njNHvQostjt2wAK6tmKJHFX3b6sv9U+5veVC2n1Clfaid7UuoDHR61IfAWk/uuxRosoSxRQDoHQFt\nAQtou3tCeJG33z4t2qVpAWti36JMlbWhC12wa1agFsBBULatuvMVmYIiHZFdhEiaf+/RNQeHmnTq\n2WTJXP2oaJJJExJZjwRqd7Iy6/dRS8jj6NKVyU4B0zbYYJVVALx4CZk/4QODNAVFwksv84zTpssm\nJTKU2KDICjlpLBsgJVOinn2+hmZJcbbosUiZBUq8QobX2GQcH8cIMb4PVs6HjccI8SAB3qTKG1T4\nLhnGcHKeIBO7TEQOFN6BmzM4eJoGv6DBRdp8AA/jOwwnE5rKlz0K32x2+V5LVPJ92KGhjaQz+8Ds\nq1lhNPsnUTg6ghMn3PDuGPx8E+7zwRlLw25VgbePC23ZUkU0Le/HbASeuQGLeThuEdh7ncJk1jCG\nQVy7IwDVftKXzRb85gKcnoPxERH+914Ubv1feq8AgCDsLr72ogBiX3gYPHIeLjThK5eg3hHN1mct\n722pDv+4Ihz3PzkuBP3WWG6Jlla5LpzzCINe78h81ZbM5XOdHl0DHrSrvNOuEdwGjBkYrNLlBVrc\noIMNOIGD8zhJ7DJt6Bis0uQKNW7RoIdBFDuPEeIoHvbTjaKvsRRArEKLHhoqKbycIsoEPrwHYLn7\nXUA2KUkgNmDCfLiYIGpWWO/3+7jdawjda1lqXwUL1q/w7AOwJCnT+uewvBmt42rd3JeHis0G4GtG\n+v37ZcOnuwO+hL6rNkIgDNiv4SIABw4CuIkRMCU6Yn9Yc9L+j7srMYAVaFWGMnGjWEDIpUSWzUnK\nlEgNJFReFGzA/sSp/yFA2V6hoGIzT+rWMDDQadClLD+wMl3K9KjSJrMN06ZamLWgBGwB7ATvKstm\nw4UNFx6GZ4b+F6RFydzalClxc8gTRsOBaJMblHtx27YLg3KQ0LCZctj+ERroNKlRp0SVInWK5Fgh\nwwLQB2pBqd4QYO1OUp82bETkDwhtWpUKBYoUKZAmbQFpHkKEiRAhRPjA6U4HNiaIMkFUmlNW2aDA\nBkVeZxFYJIyXMSKME8a7z/PsROM4YY4TpkyL6xRZoMQKFTzYmSfEUUJ7smdOVB4gwBl8XKbGq5T5\nARnGcfIwwV2ZsxAan8LLdTo8TYN/oMJDOHkC97b+Zh5F4U9dNn7a7vHrjk5ON/hDl22LzswhLTL+\nZlNozL4Uh9QIefDOGFytwr+mYc4LHsvX6YE4PL0kBPJWUDYVApsGN3PDoMznEs3A211wWk5XuSb2\n+wFlr10TnmPveGD472+uwMUleP+5gTltuyuqLHsGfOkhCMhTXGjCf78oKkm/eBrGLd5iLxWE91jQ\nDl+YHnbk7xrC4uK5CgQ1+EJsK5DtF1/8rC2qKU/KFlnbVcYaUi/2PE3W6OJG4XFcPIATzy6Loypd\nLlPjMlVq9HChchIf9+Elug+jVeFFVuUWZdao0kXHgcYEPqbwM4Zv3wUqAG26ZCmTkYuivjWFGwcp\nQsQIECdwIO2nNQQLVqEoF3clSnTkWKqh4ifAJFMECeIngOuQxtB+BkL4/gv72SZV+hkIFQ03Aamo\nG/j/3y3wpdOhRYW2ZV5pUaYzwsip2HHgx0kIP9MWuY3v0OaX/YQh6/sF4dLfyhbgVRt5xEDq5CCO\njTkpefKZpMxhS53ekqDMoINODeUOKt4OEor8YLQd1lGCaatJsFYxQVuXMnWub6EzBXoOyC2IXe5t\nBO+Kls1KAfsZuGD2fVnEF6kP2IoyFXrNvJ8N1whYC+M6pGMVlZxi5RaVx2Zg0KJmuv1UKbLJLdJm\n2ySHrHEa1DzdbjGBKrVmAYLMMCNBWpUiBQoUTCZNAfz4JUSLECB4oBJzFcU0pj3NNBUabFBgjYIs\nFlgmhIdxIowRwbfPgSqAk/MkOUeCVSpco8hrbPIGWSbxcx9hEnt8T2yonMHPCXxcpsorlPkuGaZx\n8SghojucWwWFeRxMY+cZGrxIi+t0+AjebQsBVEXhg04bCbXH91s9/rrR5fMu25b+mS7JmP3Vpkhn\nfjkOAZv1eUSl4V8uCNf6T1r6Qdo14XL/3BqUWgOXf5sGM2G4mR8+Jp88zbXmMCir7BOU9Xqi2fhE\nHMYsXQFaHfjhS5AKw+OyG4BhwHcvig4Dnz8PMQm8ihZA9menYMw3uP9PMqLy9JgP/mBiWEeX6cA/\n5yHdgYe8gh1zjuCW9Z7OD9s9VnoG46rCH7psTG2j6zMwuE6H52mSpkcQlffh2dVEWLBpLS5SYVHq\ndidx8ThhZvZhuNpDZ5UqS1RYoUIXHRc25ggyReBAvn0GBkVqJggrUMVAmELHCHCccWIEbjsd2aZt\nsuslyYT1WTAPHmLEpFY1eCgVkH3tV820nhWbVXTvxIOHIFHGzcKqu6HV7QvsWyPAq01pSOMsMiRC\n0+xjXGZhxO/3ylx9mECpWPZ98FVjuDBQxSbnYxeTFn25XzJe916X9pYEZTp5SvxXxHTiQyWIil/u\nfagE5OaXtOHdDcXCjG0XPZp0KckLo2ReIE1W6HFl6L4CsAWxmwxbSLJsgUN/LwqKaXbntfSM74O1\nFsUhsFbkJrqFWXPgl613w7gks2bHd8dfPgXFNLMdADWdOhVqpj1jgTWu0v+CufEzaJoUxnWbxyFA\nmviZliCtTElCtAJLLLHIIhqqCdAiRA8sxu03EJ5nnBpN1iiwTp5LrHCJFcL4mCDCBJF9reY1FKYJ\nME2ACm2uUeAGRZYoE8bFCSIcIbCrSNmGIsGZlwtUeZUy/8wGx/HyMMEdU09OFD6Ah/uw8xR1vk6F\nt+Hi7bi2nVQfkGLyrze7/HWjy5+6bVt6JQZsgjH764zwMvuL+LBxbNIFj0UEYHkoBJMWsfsjEpS9\nsAHvt1Q6HonAz65CvT1IGXr7oKwFEcvXt1SVx7EHKHvlCuRKW4sBfva6MIj9oycGzc6fuwUX1kUf\nzmOSKq60Rcqy1YM/twCyrg7/sgYXy/BoBD6cHGjDDANersO/FoUB7J9E4fiI/q5lGDzd7vFCR8ej\nwCedGue2sSbpmwY/S4MNeoRQ+RCeXdttddC5So0LVCnSwYXKOQKcxEdgjzGqrxG7RYlFKnTo4cLG\nLEFmJBDbrz6sQ49Nqd9MU6RFFwUI4eU448QJEr7NIpsWLalCFQx6VTIoKgoBAkwyLcuFgnechrQC\nMMGAicVov1iqb0EUJG4plgrecVX7dschFumloaxKi9KQXln0kgziISWlL4Mis3uh8TLomTIjAbTK\ndCxEiDHSEaAvNXIxZins80mpke+eeKQdJN6SoEwlhIf30aOEQYUeZbosoG+hHkHFKwFacNv9vQBt\nGi40XDgt+qp+6HQkUCvToSRvF6mzgD7kHqzICykkAZvQyNkJox5y3t0K1nwMaAgh4K/RokiTAi0K\nNClQYdliXjiwAnERkaAteMerDQVVqrUGQpseXcmkCfegAutssgj02bSwlOtG8RK+rdWrikqIMCHC\nzCI0aUUK5MiRJ0+WLCAsOCJE5Yo5dCAWzYuLecaYZ4w6LVbJs0qOCyxxkSXiBJkkyhhh9tNVwI+D\n8yS5nzi3KHGZPL9mjVfIcB8RjhPe1SbAJtOaJ/DyKmUuUOUGdR4gwDn87NRTcBo7f0aAp6nzPE0W\n6fJ7eLatzJvRVL7ktvO1RpevNDr8qcvG2AiDk7TDH0SFXcb3i/Cp8LDu6z1xeKMMP0zDl48M/hdy\nwX1hYSfx5NSgb+SMlGEuFeCE/Cp65XxaGzHq7qcv/buAMl2HX70KU0m4zwL+1vLwwnV4dB4mJXu2\nUhSA8HQKnpgVf2v3RO/OWmcYkLV1+PqyEPR/MCnsQPrvraOLc/FaHY464VORrZ5jV7s6P2j1qBgG\nD9lFqtK1jR3JurQ6WaZLUIKx0zh2BDGiQKTCZel9l8DBk0SZw7OrDQZAmRY3KbFAiRod7KhMEWCW\nAMl92rwANGizToE0RbKSrbKjkSBIkhAJgjhvg8Fv0zbZ8SIFU5CvoRIkxBwpQjIVeacmrF3aDBq9\n9QGYAD19ABZmzNTVeggcOtjp0Zbjd4kWBXPh3bNUzfflLAGmZZYkeKja493CQLeQGCXL3ChYL6tc\naFDsF8TFuCULFcCG757M8TuFThOdMsYWB4id4y0JyhScOHlwy98NuuhU0amgUx7aumygcw2GRHrK\nDqCtv/nviZ+ZgxgOtnZE1mXrWrECKMrbRapsDK0GVJwmSBMsmwBrtkM+fkFPi64E1jSoTsfy5RaA\nTbBqV+TjVJyETJDW39+ptk7DRoAYAXnuhON1lSoFE6iVSANCayFAWl/SG+F22nfYsBEjTkyq4urU\nyZMjR4411lhhxawCjREjSuxAFVUenCZAq9BghRwr5HiZm9jRGCPMNDEi+PccGG2oHCPMUUJsUOdN\ncrxGhktkOUaYk0R21Z250HiMMKfw8xuKvEiJK9R4nBBH2MazAsGafQQvs9j5CXW+SoWP4mVum9dJ\nqApfdNv4aqPL3za7/KnLtsUyY94FTwbg6TJMOeARi9bKocIHEqIi8dXSsPj9fBIu5+FaUVRiAowH\nBEBbLg5AWV98Xx8pmCrXwO3c2kjcGlcWoViFD719AJoMQ6QtvU548oz4W7sr+m8GXPBx2XFAN4RL\nf7oGnzsBE5Kla/bga0uw1oRPjcM5y3sqdeEfciJd+WRAmMBaCcamYfCvrR6vd3USMlU5uU2qskSP\nZ2hyhTYeFN6Hh/t3YcZytHmdCtfloncWD2fw79ljtYPOEmVuUCRDHQWFcbw8SILJXcD9aFRosGOz\nrmQAACAASURBVE6BDQoU5DH4cTFHkhQhwvgPzIZ16VKiSJ4CRfJUZbrTho0gQcYYJ0QI3x0WGgk/\nxZIJwmoUpQYMQMGNnxBJKccIHToAEw0Dy5aFtABfHQuBMQBfMxaZSvCupxxFWrRqzmvDxMQw8FJx\nYCOIgxgejlr02n5ZWHfvigEGx69jUEOnJHFGZcveMMH2/hcKb0lQtlMo2NAIoe1YZSlsAXVK9CjJ\nk1lCp0KXdQkihgX7/bSoRgjV3Pqg7e4KFFWcOEngJDH0935ZboeiBGtiP5oOFSuIIHbCcovcFbAm\nLPpieCzAUlDyFZrk5VagyjJFrstjU3ESxEUUNxFcxHDdIaOmyEGuX+INSBlq3wYyZ6Y8BRwPEyBK\ngBhewrcF0vr94yaZokePAgWybJIjxyabKECQEDHixInjZgfL+m3Cj5uTTHKCCXJUWCbLGnmWyOLD\nxTRxpojumd5UUEwPpzxNLpHjCnmuUuAYIU4T3RWcBbDxAWKs0eRZCjxFlhncPEF4RwPaEzhIovE9\nanyLKo/LdObo4BmRwOwrzS5f2wGYvdMPy234UQkmHDBuebtnA/CbvKjGPBsAm3zosRB47cK7rA/K\nbBqk/LBaGjzeBGUDggAQoCy4TSNva7x2DXzuYZbs6hqs5IT9hUse50+uiorLLz4ysL740QJcK8Dv\nzcG8ZPAaPfjqkuj3+YcTcNJSqLDSgq/nBVP2JzEBVq1xs6vznVaPqmHwLofGu+zqlurWNoZpZ6Kg\n8HZcPIwL5w4T2iYtXqbMLRrYUTiNn7P7MB3O0+QaBW5RooNOACcPktiXdUs/KjRYI88aecqSZQjj\n5SSTjBHGf4DvEfQNYSvk5U+Jomy7pBIkyCxzhIngv0MQ1qFFjQIVuSisUzQF73Zc+AgTY8r0/j9M\n8+8B+zXYWhTNSsf+mOshjpPjUnISvuvMVz8b1LHMVWJfwrD4jinYsRHAQRQPsybBYJNz7b0GXoas\n2x2QOyV6FM3bOhWGSR4BswW5E8LGtEVW5Qf+13297r8rULZXKCgo+FHxY7MwPf0w0C0ot2gBbUXa\nXNtCQSq4UCUIHIC1MBrhu1qEoJipTB+MvA+dtuXCL9ChQJtN6tywPH47sBbBRuDQjllBwSntNoIc\nAfqahTpN8jTI0SRPZQSoCRYtgpsYbqI47vCY7DiJME5EpmF7dOSAKXz516SbWJ9JCxAjSBwvoQNr\nDTQ0YvKnPwlskiXLJte5xnWu4cdHnAQJknh2YJtGQ0GRfGCAs8ywToFFMlximcusMEaYIySI7oM9\ni+DiHUxQIc5FslyjwDUKzBPeE5yN4+LTpLhAhZco8U+s8yghTu2g2wmj8Tn8/JQ6z9Fkkx4fwYtj\n5L5BVeHPXQKY/V2zyxfd9iGNmaKI1OX/lxHC9v+cGOjLFEX0evzKIrxUhLdJAKYqwrfspfSwN9lE\nEF5dE6lHVRVMmN22PVO2m56s1YZrS/DIqYFmzDDgmUsQ9sG5I+JvN7LwwhK8/QjMyGN7JQO/3YDH\nx+FhKeVs6/B3EpD90SQct+jbLtbhXwrg1+DPExC3fEQ9w+DnbWFzEVUV/mIbUGtgcI0OP5cuVadw\n8M5djH83afEiJZZo4kTlIYKcwberr1gPgyXKXCFPlgYaKjMEOEaI+D4n/TotVsixSp4ydRQggp+z\nTJMifGC7ig4dk8XOk6ctU3N+fEwyTYQIwQMW7FijX5DUH0+qFGhSAQZyiwRHzIIk5z6/7/uJLg3L\nglcsetsmAyeKs1yE8XLC1P0672Lmpy+w7885VvA1XNGoSI10CBeTUoojNu0eFe4NH3fLQtAM5nwB\nviowYlar4EEjiI0UKsctGba+hv3OdX7/oUDZXqGgohFEIwhMbfm/+AD7SLlgMm4iNXqV4Ty3cwSw\nheXtuwvYVBzbsms6nRGwlqdNVtp5GPKYbSZAc8i9nSjaITGCQqsmXJf98vwKnVrVAtRylFmgwFUA\nNJwSoMVMoHYn5rcadukQ1vct61AlR5kcZbKscoVVLqNhlzBINE9ysQdtss17FYaQAeaYo06dLJts\nsslN+SMAWpIEiX0DNBsaU8SYIkaFBotsskyWVfL4cTNLgkliexrU+nHwGOOcIcYFCc5uUOQ4YU4T\n21FzpqFwjgBH8fBL8jxLgevUeQ8RQtsAOjsKH8ZDAo1f0ODrVPh9fARGAEFQVfiCy8bfNLp8rdHl\nL9zDVZkeTQCzr2ThJyX4mMWmb9Yr2i49K0X/fbbsVFRYY1wrCoAGop3Rb5cgXx9UP7odwtXfGqUq\nTKfYMW6uilZIJ44M/nZlFVZz8PFHhIFsuwvfuwgxL7xvXtwnXRM+anOhQRFCz4BvrMBqEz47MQzI\nnquIVklTDvhcVJwH8xh1g2+2uqz0DB60qXzYqeEYYceK9HiaBjfpkEDjY/iZ3GHYz9PmBUrcooET\nlUcJcho/jl0WJw26JrBv0CWAk4dJMUtwX+2NWnRYp8AKWXISVETwcZZpxojgPsB3XfAaNXJkyZGj\nRFFWYNrNkpwI0dsW5gsvsooEYHnKZM1qSBsOfEQkCxbBS/C2mPftokuTplzENsjTJDdU9SgKrqKE\nOGYCsLvFfg1naQqS/RLzidVlQKQbQ7iYsOigRQHbvdR49bNjYt4eJlp6FHchWuLYOYq2RYN+uMUV\n28VbFJS1MYwCEEBR7l25qoITG0nYRrBv0DMZth4FeQEU6JKWWrZRwCYYNZXI0P4gueeDhIodJ3Gc\nIx5mAqyJL5UAajka3KLGZfM+Gl4J1KLYieIgho3goXzpB2XUfgKIWcpAp0WZBllzq7FmFhMICj6B\nmxgeEndU8WnDTogUIVl92qElfb6F7WuBdfmaYt0bIoGf2IEHXA8epplhmhmaNNkkQ4YMN7nBTW7g\nx0+SFEmS+540/Lg5wzQnmGCNPAtkeJ1F3mSFaWLMkdqTXfBJcHaaGK+zyZvkuU6R08Q4QXjHak0f\nNj5MnOvUeZYC32SDxwhxepvPQkHhIVxE0Pg+Nf6eCp/Gu8WENKwqfN5l4783O/x9s8uX3MM+ZrMu\neMwHz1fhtAeOWN7au+Pwt4vwShEekYzUlB98DriUGwZlABuVnUFZtwuNlkhN7hRXl4SFxpQcCgwD\nfn4Bon54UAr5n10QacsvPSpSp60u/ONVcNvgM/OCzTMM+PYa3KgKa49+ytIwhI7ulxU47RaCfpvl\ntN7o6nyr1aUHfMZl44xt+HPSMXiFFr+iiQK8B/eOnReqdHmRElep4UDlYYKc3QOMFWjyJnluUULH\nYAIf9xFhbB/6Hh2dNCWWyZKWacR+qn6CyL79+vrPVaLEJhmyZGlKkOTHxwxHiBIjcJtse58J6zdR\nq5A1KyLtuPBL6YOf6G1Xe299Px0JvLI0yNEgN6T/chLAQwIXUTOrcNj9j/vRoynnhpxljiiMgC8n\ndsJ4mJOL+BA2QvdU5yWAV0UCr4KcfwtyLi4xzHYpJshyMG9mt+6VJGk/8ZYEZYaRpdP7v+nzEShB\nFEIoShAIoSghFMJA8J6BNgUNTQItO7PDx2sCtsLQhdNlDZ3LWH1TxAVjBWxiU/aRmrqdEGBtK7PW\noy5BWt5k1SqsmW7GglWLDgE1B5FDWQWJNGYIFyHCHJPH05EDVVY2SFmkIL3UbLjxEMNNQg5Y4QOn\nHvthxyntXicsg7LobplliQwLqGj4iRIkSZjUgdMSLlxMMc0U0zRpSni2wXWucYNrhImQIkWMOPtp\nOmxDk/qyGAVqLJBmgQw3STNGmGOMEd6D6fPj4AkmOEmU18jwCmmuUeA8CaZ2uPaET5mXcZw8I1mz\nRRo8SRTPNizJLHY+h59/pso3qPIpvEyOTChJTeGPXDa+1ujyjWaXL7hsQ9qo9wXgahO+W4D/khg0\n4Z71wLQHfpWD82HQFAF6TkXg5YyodHRogrVSFeEVdka2UHI7BAjrR1MCNNcOeLbRhAs34OzRQUul\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4fZL8iE2+R4b3EWV2ZHDuM2b/QIVvUeVP8BOyTJ5zNpXH7Cq/7ujMazrHpf2DXRXthr5d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\nDCMPMFFmGIZhGIaRB/w/7j8SPuT02NMAAAAASUVORK5CYII=\n",
|
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"text/plain": [
|
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"<matplotlib.figure.Figure at 0x7f8c380ccac8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
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"fig, ax = plt.subplots(figsize=(10, 6))\n",
|
|
"\n",
|
|
"ax.contour(x, y, z, levels=np.logspace(0, logzmax//2, 35), norm=LogNorm(), cmap=plt.cm.jet, alpha=0.5)\n",
|
|
"ax.plot(*minima_, 'r*', markersize=10)\n",
|
|
"ax.plot(*problem.x0, 'r+', markersize=10)\n",
|
|
"\n",
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"ax.set_title('{} (github.com/wassname/viz_torch_optim)'.format(problem.f.__name__))\n",
|
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"ax.set_xlabel('$x$')\n",
|
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"ax.set_ylabel('$y$')\n",
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"\n",
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"ax.set_xlim((xmin, xmax))\n",
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"ax.set_ylim((ymin, ymax))\n",
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"\n",
|
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"anim = TrajectoryAnimation(*paths, labels=methods, ax=ax)\n",
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"\n",
|
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"ax.legend(loc='upper left')"
|
|
]
|
|
},
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|
{
|
|
"cell_type": "code",
|
|
"execution_count": 85,
|
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"metadata": {
|
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"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:18:34.088803Z",
|
|
"start_time": "2017-11-15T08:18:33.437574Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"videos/beales_20171115_07-18-03.webm\n"
|
|
]
|
|
},
|
|
{
|
|
"ename": "ValueError",
|
|
"evalue": "Invalid file object: <_io.BufferedReader name=76>",
|
|
"output_type": "error",
|
|
"traceback": [
|
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"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m<ipython-input-85-e778a87d7032>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0msave_file\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'videos/{name:}_{ts:}.webm'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mproblem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mts\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mts\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msave_file\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0manim\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msave\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msave_file\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;31m# display\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m~/.pyenv/versions/3.6.0/envs/jupyter3/lib/python3.6/site-packages/matplotlib/animation.py\u001b[0m in \u001b[0;36msave\u001b[0;34m(self, filename, writer, fps, dpi, codec, bitrate, extra_args, metadata, extra_anim, savefig_kwargs)\u001b[0m\n\u001b[1;32m 1061\u001b[0m \u001b[0;31m# TODO: See if turning off blit is really necessary\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1062\u001b[0m \u001b[0manim\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_draw_next_frame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0md\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mblit\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1063\u001b[0;31m \u001b[0mwriter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrab_frame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0msavefig_kwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1064\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1065\u001b[0m \u001b[0;31m# Reconnect signal for first draw if necessary\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/contextlib.py\u001b[0m in \u001b[0;36m__exit__\u001b[0;34m(self, type, value, traceback)\u001b[0m\n\u001b[1;32m 98\u001b[0m \u001b[0mvalue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 99\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 100\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgen\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mthrow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtraceback\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 101\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"generator didn't stop after throw()\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 102\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mStopIteration\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mexc\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/envs/jupyter3/lib/python3.6/site-packages/matplotlib/animation.py\u001b[0m in \u001b[0;36msaving\u001b[0;34m(self, *args, **kw)\u001b[0m\n\u001b[1;32m 287\u001b[0m \u001b[0;32myield\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 288\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 289\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfinish\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 290\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 291\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/envs/jupyter3/lib/python3.6/site-packages/matplotlib/animation.py\u001b[0m in \u001b[0;36mfinish\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 307\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfinish\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 308\u001b[0m \u001b[0;34m'Finish any processing for writing the movie.'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 309\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcleanup\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 310\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 311\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mgrab_frame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0msavefig_kwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/envs/jupyter3/lib/python3.6/site-packages/matplotlib/animation.py\u001b[0m in \u001b[0;36mcleanup\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 346\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mcleanup\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 347\u001b[0m \u001b[0;34m'Clean-up and collect the process used to write the movie file.'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 348\u001b[0;31m \u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_proc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcommunicate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 349\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_frame_sink\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 350\u001b[0m verbose.report('MovieWriter -- '\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/subprocess.py\u001b[0m in \u001b[0;36mcommunicate\u001b[0;34m(self, input, timeout)\u001b[0m\n\u001b[1;32m 834\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 835\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 836\u001b[0;31m \u001b[0mstdout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstderr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_communicate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minput\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mendtime\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 837\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 838\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_communication_started\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/subprocess.py\u001b[0m in \u001b[0;36m_communicate\u001b[0;34m(self, input, endtime, orig_timeout)\u001b[0m\n\u001b[1;32m 1482\u001b[0m \u001b[0mselector\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstdin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mselectors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mEVENT_WRITE\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1483\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstdout\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1484\u001b[0;31m \u001b[0mselector\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstdout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mselectors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mEVENT_READ\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1485\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstderr\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1486\u001b[0m \u001b[0mselector\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstderr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mselectors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mEVENT_READ\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/selectors.py\u001b[0m in \u001b[0;36mregister\u001b[0;34m(self, fileobj, events, data)\u001b[0m\n\u001b[1;32m 349\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 350\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfileobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mevents\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 351\u001b[0;31m \u001b[0mkey\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msuper\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfileobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mevents\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 352\u001b[0m \u001b[0mpoll_events\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 353\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mevents\u001b[0m \u001b[0;34m&\u001b[0m \u001b[0mEVENT_READ\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
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"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/selectors.py\u001b[0m in \u001b[0;36mregister\u001b[0;34m(self, fileobj, events, data)\u001b[0m\n\u001b[1;32m 235\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid events: {!r}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mevents\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 236\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 237\u001b[0;31m \u001b[0mkey\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mSelectorKey\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfileobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fileobj_lookup\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfileobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mevents\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 238\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 239\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfd\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fd_to_key\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/selectors.py\u001b[0m in \u001b[0;36m_fileobj_lookup\u001b[0;34m(self, fileobj)\u001b[0m\n\u001b[1;32m 222\u001b[0m \"\"\"\n\u001b[1;32m 223\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 224\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_fileobj_to_fd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfileobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 225\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 226\u001b[0m \u001b[0;31m# Do an exhaustive search.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
"\u001b[0;32m~/.pyenv/versions/3.6.0/lib/python3.6/selectors.py\u001b[0m in \u001b[0;36m_fileobj_to_fd\u001b[0;34m(fileobj)\u001b[0m\n\u001b[1;32m 37\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mAttributeError\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 38\u001b[0m raise ValueError(\"Invalid file object: \"\n\u001b[0;32m---> 39\u001b[0;31m \"{!r}\".format(fileobj)) from None\n\u001b[0m\u001b[1;32m 40\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mfd\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 41\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid file descriptor: {}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfd\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
"\u001b[0;31mValueError\u001b[0m: Invalid file object: <_io.BufferedReader name=76>"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# anim.to_html5_video()\n",
|
|
"save_file = 'videos/{name:}_{ts:}.webm'.format(name=problem.f.__name__, ts=ts)\n",
|
|
"print(save_file)\n",
|
|
"anim.save(save_file, fps=1000, bitrate=1000, codec='vp9')\n",
|
|
"# display\n",
|
|
"html=\"\"\"<video {options}>\n",
|
|
" <source type=\"video/webm\" src=\"{video}\">\n",
|
|
" Your browser does not support the video tag.\n",
|
|
"</video>\"\"\".format(options=' '.join(['controls', 'autoplay']), video=save_file)\n",
|
|
"print(html)\n",
|
|
"HTML(html)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:41:01.063518Z",
|
|
"start_time": "2017-11-15T07:41:01.061268Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# # or save as gif\n",
|
|
"# save_file2d = save_file.replace('.webm', '.gif')\n",
|
|
"# anim.save(save_file2d, fps=1000, bitrate=1000, codec='gif')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T03:11:35.347291Z",
|
|
"start_time": "2017-11-15T03:11:35.340480Z"
|
|
}
|
|
},
|
|
"source": [
|
|
"# 3d anim"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:01:50.316033Z",
|
|
"start_time": "2017-11-15T08:01:50.312951Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"start_time": "2017-11-15T08:27:18.730Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(8, 5))\n",
|
|
"ax = plt.axes(projection='3d', elev=50, azim=azim)\n",
|
|
"\n",
|
|
"ax.plot_surface(x, y, z, norm=LogNorm(), rstride=1, cstride=1, edgecolor='none', alpha=.5, cmap=plt.cm.jet)\n",
|
|
"ax.plot(*minima_, problem.f(minima_).numpy(), 'r*', markersize=10)\n",
|
|
"ax.plot(*_x0, problem.f(_x0).numpy(), 'r+', markersize=10)\n",
|
|
"\n",
|
|
"ax.set_title('{} (github.com/wassname/viz_torch_optim)'.format(problem.f.__name__))\n",
|
|
"ax.set_xlabel('$x$')\n",
|
|
"ax.set_ylabel('$y$')\n",
|
|
"ax.set_zlabel('$z$')\n",
|
|
"\n",
|
|
"ax.set_xlim((xmin, xmax))\n",
|
|
"ax.set_ylim((ymin, ymax))\n",
|
|
"\n",
|
|
"anim = TrajectoryAnimation3D(*paths, zpaths=zpaths[:,:,0], labels=methods, ax=ax)\n",
|
|
"\n",
|
|
"ax.legend(loc='upper right')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:03:16.538184Z",
|
|
"start_time": "2017-11-15T08:03:16.534570Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"start_time": "2017-11-15T08:27:20.517Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# anim.to_html5_video()\n",
|
|
"save_file3d = save_file.replace('.webm', '_3d.webm')\n",
|
|
"print(save_file3d)\n",
|
|
"anim.save(save_file3d, fps=1000, bitrate=1000, codec='vp9')\n",
|
|
"\n",
|
|
"\n",
|
|
"# display\n",
|
|
"html=\"\"\"<video {options}>\n",
|
|
" <source type=\"video/webm\" src=\"{video}\">\n",
|
|
" Your browser does not support the video tag.\n",
|
|
"</video>\"\"\".format(options=' '.join(['controls', 'autoplay']), video=save_file3d)\n",
|
|
"print(html)\n",
|
|
"HTML(html)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:02:18.417964Z",
|
|
"start_time": "2017-11-15T08:02:09.992563Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# # or save as gif\n",
|
|
"# save_file3d = save_file.replace('.webm', '_3d.gif')\n",
|
|
"# anim.save(save_file3d, fps=1000, bitrate=1000, codec='gif')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"source": [
|
|
"# loss anim\n",
|
|
"\n",
|
|
"same as 2d but instead of x,y it's steps,np.abs(z-zmin)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T07:06:34.656905Z",
|
|
"start_time": "2017-11-15T07:06:34.653458Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:10:10.837338Z",
|
|
"start_time": "2017-11-15T08:03:57.330Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"index = np.arange(1,problem.steps+1,1)[None,:]\n",
|
|
"index= np.array([index]*zpaths.shape[0])\n",
|
|
"loss_paths = np.concatenate([index, zpaths[:,None,:,0]], 1)\n",
|
|
"loss_paths.shape"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 86,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:18:45.537954Z",
|
|
"start_time": "2017-11-15T08:18:45.270205Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.legend.Legend at 0x7f8c1632bb70>"
|
|
]
|
|
},
|
|
"execution_count": 86,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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Kdy2SJCXV4XrC0ikzM5P8/HwA+vbtS2VlJa+//jpf/vKXa7fZu3cvAAMHDmTSpElcddVV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\nL97VXgAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f8c0f505780>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10, 6))\n",
|
|
"ax.set_xlabel('$step$')\n",
|
|
"ax.set_ylabel('$loss$')\n",
|
|
"ax.set_title('{} (github.com/wassname/viz_torch_optim)'.format(problem.f.__name__))\n",
|
|
"\n",
|
|
"ax.set_xlim((0, loss_paths[:,0,:].max()))\n",
|
|
"ax.set_ylim((0, loss_paths[:,1,:].max()))\n",
|
|
"\n",
|
|
"anim = TrajectoryAnimation(*loss_paths, labels=methods, ax=ax)\n",
|
|
"\n",
|
|
"ax.legend(loc='upper right')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"start_time": "2017-11-15T08:18:45.947Z"
|
|
},
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"videos/beales_20171115_07-18-03_loss.webm\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# anim.to_html5_video()\n",
|
|
"save_file_loss = save_file.replace('.webm', '_loss.webm')\n",
|
|
"print(save_file_loss)\n",
|
|
"anim.save(save_file_loss, fps=1000, bitrate=1000, codec='vp9')\n",
|
|
"\n",
|
|
"# save_file_loss = save_file.replace('.webm', '_loss.gif')\n",
|
|
"# anim.save(save_file_loss, fps=1000, bitrate=1000, codec='gif')\n",
|
|
"\n",
|
|
"# display\n",
|
|
"html=\"\"\"<video {options}>\n",
|
|
" <source type=\"video/webm\" src=\"{video}\">\n",
|
|
" Your browser does not support the video tag.\n",
|
|
"</video>\"\"\".format(options=' '.join(['controls', 'autoplay']), video=save_file_loss)\n",
|
|
"print(html)\n",
|
|
"HTML(html)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 82,
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2017-11-15T08:17:34.598851Z",
|
|
"start_time": "2017-11-15T08:17:34.575898Z"
|
|
},
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# or save as gif\n",
|
|
"save_file_loss = save_file.replace('.webm', '_loss.gif')\n",
|
|
"anim.save(save_file_loss, fps=1000, bitrate=1000, codec='gif')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.6.0"
|
|
},
|
|
"toc": {
|
|
"colors": {
|
|
"hover_highlight": "#DAA520",
|
|
"navigate_num": "#000000",
|
|
"navigate_text": "#333333",
|
|
"running_highlight": "#FF0000",
|
|
"selected_highlight": "#FFD700",
|
|
"sidebar_border": "#EEEEEE",
|
|
"wrapper_background": "#FFFFFF"
|
|
},
|
|
"moveMenuLeft": true,
|
|
"nav_menu": {
|
|
"height": "30px",
|
|
"width": "252px"
|
|
},
|
|
"navigate_menu": true,
|
|
"number_sections": true,
|
|
"sideBar": true,
|
|
"threshold": 4,
|
|
"toc_cell": false,
|
|
"toc_section_display": "block",
|
|
"toc_window_display": false,
|
|
"widenNotebook": false
|
|
},
|
|
"varInspector": {
|
|
"cols": {
|
|
"lenName": 16,
|
|
"lenType": 16,
|
|
"lenVar": 40
|
|
},
|
|
"kernels_config": {
|
|
"python": {
|
|
"delete_cmd_postfix": "",
|
|
"delete_cmd_prefix": "del ",
|
|
"library": "var_list.py",
|
|
"varRefreshCmd": "print(var_dic_list())"
|
|
},
|
|
"r": {
|
|
"delete_cmd_postfix": ") ",
|
|
"delete_cmd_prefix": "rm(",
|
|
"library": "var_list.r",
|
|
"varRefreshCmd": "cat(var_dic_list()) "
|
|
}
|
|
},
|
|
"types_to_exclude": [
|
|
"module",
|
|
"function",
|
|
"builtin_function_or_method",
|
|
"instance",
|
|
"_Feature"
|
|
],
|
|
"window_display": false
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|