From e0d9c27d875c1c2fbd4c2e48852690aae4a45320 Mon Sep 17 00:00:00 2001 From: seogi_macbook Date: Wed, 3 Jun 2015 08:29:05 -0700 Subject: [PATCH] Result of SimPEG hackathon - Incorporate field class on DC - Add IP forward modelling and inversion - Modify notebooks - change folder name form simpegDC to simpegDCIP --- notebooks/DC_schumberger_FWD.ipynb | 89 ++- notebooks/DC_schumberger_Inv.ipynb | 131 ++-- notebooks/DCexample.ipynb | 150 ++--- notebooks/DCinverse.ipynb | 92 ++- notebooks/IPinverse.ipynb | 586 ++++++++++++++++++ notebooks/mappingDC.png | Bin 0 -> 105676 bytes {simpegDC => simpegDCIP}/BaseDC.py | 129 ++-- simpegDCIP/BaseIP.py | 182 ++++++ .../Examples/Verification.py | 4 +- .../Examples/WennerArray.py | 4 +- {simpegDC => simpegDCIP}/Examples/__init__.py | 0 {simpegDC => simpegDCIP}/Tests/__init__.py | 0 .../Tests/test_forward_DCproblem.py | 4 +- .../Tests/test_forward_DCproblem_analytic.py | 1 - simpegDCIP/Tests/test_forward_IPproblem.py | 57 ++ simpegDCIP/Tests/test_sens_IPproblem.py | 80 +++ {simpegDC => simpegDCIP}/__init__.py | 1 + 17 files changed, 1276 insertions(+), 234 deletions(-) create mode 100644 notebooks/IPinverse.ipynb create mode 100644 notebooks/mappingDC.png rename {simpegDC => simpegDCIP}/BaseDC.py (64%) create mode 100644 simpegDCIP/BaseIP.py rename {simpegDC => simpegDCIP}/Examples/Verification.py (97%) rename {simpegDC => simpegDCIP}/Examples/WennerArray.py (96%) rename {simpegDC => simpegDCIP}/Examples/__init__.py (100%) rename {simpegDC => simpegDCIP}/Tests/__init__.py (100%) rename {simpegDC => simpegDCIP}/Tests/test_forward_DCproblem.py (94%) rename {simpegDC => simpegDCIP}/Tests/test_forward_DCproblem_analytic.py (99%) create mode 100644 simpegDCIP/Tests/test_forward_IPproblem.py create mode 100644 simpegDCIP/Tests/test_sens_IPproblem.py rename {simpegDC => simpegDCIP}/__init__.py (63%) diff --git a/notebooks/DC_schumberger_FWD.ipynb b/notebooks/DC_schumberger_FWD.ipynb index 71f72e2a..acc53c69 100644 --- a/notebooks/DC_schumberger_FWD.ipynb +++ b/notebooks/DC_schumberger_FWD.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:b7556968258042b90534fa310f5e2522502708190e2655f8d1be84dd18c34ec2" + "signature": "sha256:788d43ec10deaa6de8f97cf0db8cb6daa952455b30356e2a2a83472d9d0d4c10" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "from simpegem1d import Utils1D\n", "%pylab inline" ], @@ -26,9 +26,18 @@ "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 29 days\n" + ] } ], - "prompt_number": 12 + "prompt_number": 1 }, { "cell_type": "heading", @@ -66,7 +75,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 13 + "prompt_number": 2 }, { "cell_type": "code", @@ -77,7 +86,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 3 }, { "cell_type": "code", @@ -91,13 +100,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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OnVBQ4GL3biG0go5HanDZXtULzW2MaGs6bHohMY1gDQoHU2wrKysxDAO/329bgzSX+iLd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\nl7y8vCYJbmKkm5izTcXrTb5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frjN9OoBGPA6bNkmsWyfxzDMKf/ubg3vvVTj0UIOSEpl1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\nuXP505/+xNKlS73yVNISnxabI80u6FZXJ7JYLGp2e/nyZWJiYoiNjfW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Qucl4q0oiFAohyzI+nw9HUvPccDiMpmm8+WY2f/mL+a03aZLK5MlaQs/RMWMc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\nOzt37sxV7L8wKC8DDoWBo6ZbwhBCkJGRQUxMDJGRkRrhu1atWhpvuHn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"text": [ - "" + "" ] } ], - "prompt_number": 15 + "prompt_number": 4 }, { "cell_type": "heading", @@ -117,7 +126,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 16 + "prompt_number": 5 }, { "cell_type": "heading", @@ -183,7 +192,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 17 + "prompt_number": 6 }, { "cell_type": "code", @@ -194,7 +203,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 18 + "prompt_number": 7 }, { "cell_type": "code", @@ -213,7 +222,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 19 + "prompt_number": 8 }, { "cell_type": "code", @@ -243,7 +252,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 20, + "prompt_number": 9, "text": [ "(-600, 600)" ] @@ -253,11 +262,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 20 + "prompt_number": 9 }, { "cell_type": "code", @@ -284,9 +293,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 21, + "prompt_number": 10, "text": [ - "" + "" ] }, { @@ -294,11 +303,11 @@ "output_type": "display_data", "png": 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2AMCkO+HwSgOM8UoDnRvrZvVcHcBPNpvF9PR0xcTk1OorDXTcEY6dbOznIpIW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\n9l8BMNCNn12nfB4BdY8BmHG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"text": [ - "" + "" ] } ], - "prompt_number": 21 + "prompt_number": 10 }, { "cell_type": "code", @@ -313,14 +322,14 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 22 + "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "survey = DC.SurveyDC(txlist)\n", - "problem = DC.ProblemDC(mesh)\n", + "problem = DC.ProblemDC_CC(mesh)\n", "problem.pair(survey)\n", "try:\n", " from pymatsolver import MumpsSolver\n", @@ -331,7 +340,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 23 + "prompt_number": 13 }, { "cell_type": "heading", @@ -355,12 +364,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "CPU times: user 4.93 s, sys: 612 ms, total: 5.54 s\n", - "Wall time: 5 s\n" + "CPU times: user 5.26 s, sys: 554 ms, total: 5.81 s\n", + "Wall time: 4.06 s\n" ] } ], - "prompt_number": 25 + "prompt_number": 14 }, { "cell_type": "markdown", @@ -394,9 +403,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 26, + "prompt_number": 15, "text": [ - "" + "" ] }, { @@ -404,11 +413,11 @@ "output_type": "display_data", "png": 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DuJrW19czD9ZGvW61yigilVWJIBKlY30OOEew9Mm0B8vEnwSOeTiCqohrbOpY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\nMgUREREp2f8P7ZpFX47AZacAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 26 + "prompt_number": 15 }, { "cell_type": "code", @@ -417,7 +426,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 15 }, { "cell_type": "code", @@ -426,7 +435,25 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 }, { "cell_type": "code", diff --git a/notebooks/DC_schumberger_Inv.ipynb b/notebooks/DC_schumberger_Inv.ipynb index 3dd5927e..eae24c0c 100644 --- a/notebooks/DC_schumberger_Inv.ipynb +++ b/notebooks/DC_schumberger_Inv.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:420f2b8a60ef08ab473ad159b33d15f48d4551a725f31a27a51cc03264657fbc" + "signature": "sha256:29c8b78e5b8f768bcf861afb186d1d85bff67ec768eba74cf6c3e85da81d0c01" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "from simpegem1d import Utils1D\n", "%pylab inline" ], @@ -26,18 +26,9 @@ "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "Vendor: Continuum Analytics, Inc.\n", - "Package: mkl\n", - "Message: trial mode expires in 20 days\n" - ] } ], - "prompt_number": 1 + "prompt_number": 4 }, { "cell_type": "code", @@ -51,7 +42,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 2 + "prompt_number": 5 }, { "cell_type": "heading", @@ -97,7 +88,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 3 + "prompt_number": 6 }, { "cell_type": "code", @@ -108,7 +99,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 4 + "prompt_number": 7 }, { "cell_type": "code", @@ -124,11 +115,11 @@ "output_type": "display_data", "png": 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U4Ng3z9Hah98PoRCsWCFx220OdB2WLYsxcaKBJMHkyQ4mT9Y57DCDDz+UeOml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\nD2P16tW4dOkSJBIJ4uPjMWrUKAQEBAgOm+XHWqJIZ4mWziE3RluCkVB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"text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 8 }, { "cell_type": "heading", @@ -154,7 +145,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 6 + "prompt_number": 9 }, { "cell_type": "code", @@ -187,11 +178,11 @@ "output_type": "display_data", "png": 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L5Z5Ikru/V3PbknvaA3f/SZ3HBoBBqvrdWqVeTgDa93f7sJEFt7NCa3Dm8ZC57bqkE/Hp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\n1/PI+upoPU+a5zbXc/K7fUfhi/EDSUOPE22pY3UsTZzn1tZ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"text": [ - "" + "" ] } ], - "prompt_number": 7 + "prompt_number": 10 }, { "cell_type": "code", @@ -212,7 +203,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 8 + "prompt_number": 11 }, { "cell_type": "heading", @@ -278,7 +269,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 12 }, { "cell_type": "code", @@ -297,7 +288,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 16 + "prompt_number": 13 }, { "cell_type": "code", @@ -319,7 +310,7 @@ ] } ], - "prompt_number": 17 + "prompt_number": 14 }, { "cell_type": "code", @@ -349,7 +340,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 18, + "prompt_number": 15, "text": [ "(-0.2, 0.6)" ] @@ -359,11 +350,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 18 + "prompt_number": 15 }, { "cell_type": "code", @@ -392,11 +383,11 @@ "output_type": "display_data", "png": 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RMJJCRPoBPIAxqlkABREpAthW1U0AUNUTEVkQkUUAr6zeors8UXQIIb3HhQsX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\nJLXQiBFCCEkt/z8zAwkz3y21HgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 19 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -419,7 +410,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 22 + "prompt_number": 17 }, { "cell_type": "heading", @@ -433,7 +424,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "problem = DC.ProblemDC(mesh, mapping=mapping)\n", + "problem = DC.ProblemDC_CC(mesh, mapping=mapping)\n", "problem.pair(survey)\n", "try:\n", " from pymatsolver import MumpsSolver\n", @@ -444,7 +435,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 29 + "prompt_number": 19 }, { "cell_type": "heading", @@ -468,12 +459,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "CPU times: user 4.7 s, sys: 582 ms, total: 5.28 s\n", - "Wall time: 4.41 s\n" + "CPU times: user 6.05 s, sys: 708 ms, total: 6.76 s\n", + "Wall time: 6.01 s\n" ] } ], - "prompt_number": 31 + "prompt_number": 20 }, { "cell_type": "markdown", @@ -497,8 +488,20 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 32 + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 21, + "text": [ + "array([ 0.0186522 , 0.0211157 , 0.02374998, 0.02677094, 0.02987307,\n", + " 0.03446037, 0.03920482, 0.04541832, 0.05344991, 0.062497 ,\n", + " 0.07516488, 0.09013051, 0.11364832, 0.1407387 , 0.18918521,\n", + " 0.27485483])" + ] + } + ], + "prompt_number": 21 }, { "cell_type": "code", @@ -533,7 +536,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 34, + "prompt_number": 22, "text": [ "(-500.0, 0.0)" ] @@ -543,11 +546,11 @@ "output_type": "display_data", "png": 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1PYnjUnH3vYk6DgB7FFiLiIg0V6afNfEmv54w5G0lcU6ZmQGcJiR42U/IujrW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\niuxXpIyZVc3svpk9W6eKY218ra4zs11mdsTMno8/9/aiHu3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"text": [ - "" + "" ] } ], - "prompt_number": 34 + "prompt_number": 22 }, { "cell_type": "heading", @@ -573,7 +576,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 35 + "prompt_number": 23 }, { "cell_type": "code", @@ -610,7 +613,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 4.33e-01 6.26e+03 4.48e+00 6.27e+03 8.79e+03 0 " + " 0 2.61e-01 6.27e+03 4.48e+00 6.27e+03 8.80e+03 0 " ] }, { @@ -618,7 +621,7 @@ "stream": "stdout", "text": [ "\n", - " 1 4.33e-01 6.16e+02 3.99e+00 6.18e+02 2.57e+03 0 " + " 1 2.61e-01 5.22e+02 3.96e+00 5.23e+02 2.50e+03 0 " ] }, { @@ -626,7 +629,7 @@ "stream": "stdout", "text": [ "\n", - " 2 8.65e-02 2.66e+02 3.93e+00 2.66e+02 1.05e+03 0 " + " 2 5.23e-02 1.67e+02 3.91e+00 1.67e+02 8.21e+02 0 " ] }, { @@ -634,7 +637,7 @@ "stream": "stdout", "text": [ "\n", - " 3 8.65e-02 9.60e+01 3.92e+00 9.64e+01 3.61e+02 0 Skip BFGS " + " 3 5.23e-02 7.93e+01 4.08e+00 7.95e+01 2.62e+02 0 Skip BFGS " ] }, { @@ -642,7 +645,7 @@ "stream": "stdout", "text": [ "\n", - " 4 1.73e-02 7.46e+01 4.01e+00 7.46e+01 2.16e+02 0 Skip BFGS " + " 4 1.05e-02 6.35e+01 4.25e+00 6.36e+01 1.71e+02 0 Skip BFGS " ] }, { @@ -650,7 +653,7 @@ "stream": "stdout", "text": [ "\n", - " 5 1.73e-02 4.24e+01 4.41e+00 4.24e+01 1.20e+02 0 Skip BFGS " + " 5 1.05e-02 3.01e+01 5.08e+00 3.02e+01 2.36e+02 0 Skip BFGS " ] }, { @@ -658,7 +661,7 @@ "stream": "stdout", "text": [ "\n", - " 6 3.46e-03 2.73e+01 4.78e+00 2.73e+01 8.23e+01 0 Skip BFGS " + " 6 2.09e-03 2.33e+01 5.32e+00 2.33e+01 1.57e+02 0 Skip BFGS " ] }, { @@ -666,7 +669,7 @@ "stream": "stdout", "text": [ "\n", - " 7 3.46e-03 1.10e+01 5.73e+00 1.10e+01 2.42e+01 0 Skip BFGS " + " 7 2.09e-03 1.01e+01 6.69e+00 1.01e+01 1.34e+02 0 Skip BFGS " ] }, { @@ -675,16 +678,16 @@ "text": [ "\n", "------------------------- STOP! -------------------------\n", - "1 : |fc-fOld| = 1.6315e+01 <= tolF*(1+|f0|) = 6.2674e+02\n", - "0 : |xc-x_last| = 7.2794e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", - "0 : |proj(x-g)-x| = 2.4186e+01 <= tolG = 1.0000e-01\n", - "0 : |proj(x-g)-x| = 2.4186e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : |fc-fOld| = 1.3195e+01 <= tolF*(1+|f0|) = 6.2702e+02\n", + "0 : |xc-x_last| = 7.9764e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", + "0 : |proj(x-g)-x| = 1.3417e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.3417e+02 <= 1e3*eps = 1.0000e-02\n", "1 : maxIter = 7 <= iter = 7\n", "------------------------- DONE! -------------------------\n" ] } ], - "prompt_number": 36 + "prompt_number": 24 }, { "cell_type": "code", @@ -695,7 +698,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 25 }, { "cell_type": "code", @@ -730,14 +733,22 @@ "outputs": [ { "metadata": {}, - "output_type": "display_data", - "png": 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WYFuGY3VAG7AD2JWuXDZl0pyT1X8DKSy0TrisBASbyAaR6b1g2T3+Ka0Kte4+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GoAM4ABxOVy6bMmnOyeq/gRQWWidccgHBJrJNZXovWHePf0qrQr27T234QkWm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HAAAL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\nCxMAAAAASUVORK5CYII=\n", + "text": [ + "" ] } ], - "prompt_number": 38 + "prompt_number": 26 }, { "cell_type": "code", @@ -758,7 +769,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 27 }, { "cell_type": "code", diff --git a/notebooks/DCexample.ipynb b/notebooks/DCexample.ipynb index 1c3389bb..d1f46570 100644 --- a/notebooks/DCexample.ipynb +++ b/notebooks/DCexample.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:47e57cb7825ee0b5628ee304d569cc545b931cba68c34571eb6de7caf4d5ca9a" + "signature": "sha256:9354750ce3568fae04f3b8199a2bd9f439e665cb37041f567e2cebfbe9d7a3bb" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "%pylab inline" ], "language": "python", @@ -32,7 +32,7 @@ "text": [ "Vendor: Continuum Analytics, Inc.\n", "Package: mkl\n", - "Message: trial mode expires in 20 days\n" + "Message: trial mode expires in 29 days\n" ] } ], @@ -92,8 +92,8 @@ "output_type": "pyout", "prompt_number": 5, "text": [ - "(,\n", - " )" + "(,\n", + " )" ] }, { @@ -101,7 +101,7 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], @@ -139,7 +139,7 @@ "output_type": "pyout", "prompt_number": 7, "text": [ - "[]" + "[]" ] }, { @@ -147,7 +147,7 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], @@ -163,20 +163,20 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 10 + "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "survey = DC.SurveyDC([tx])\n", - "problem = DC.ProblemDC(mesh)\n", + "problem = DC.ProblemDC_CC(mesh)\n", "problem.pair(survey)" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 11 + "prompt_number": 10 }, { "cell_type": "code", @@ -191,7 +191,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 12 + "prompt_number": 11 }, { "cell_type": "code", @@ -202,7 +202,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 13 + "prompt_number": 12 }, { "cell_type": "code", @@ -214,7 +214,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 13 }, { "cell_type": "code", @@ -226,14 +226,14 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ - "j1 = Msig1*mesh.cellGrad*u1\n", - "j2 = Msig2*mesh.cellGrad*u2" + "j1 = Msig1*mesh.cellGrad*u1[tx, 'phi_sol']\n", + "j2 = Msig2*mesh.cellGrad*u2[tx, 'phi_sol']" ], "language": "python", "metadata": {}, @@ -249,7 +249,18 @@ ], "language": "python", "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "TypeError", + "evalue": "unsupported operand type(s) for -: 'FieldsDC_CC' and 'FieldsDC_CC'", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mus\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mu1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mu2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mjs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mj1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mj2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for -: 'FieldsDC_CC' and 'FieldsDC_CC'" + ] + } + ], "prompt_number": 17 }, { @@ -276,7 +287,7 @@ "output_type": "display_data", "png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\n6NJlnU4lolKZExYWSEzMVcaPz750vDYsLc1ZsKAFgwZF6ZyN2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imz9pbmMj4OmpwtNTjaenL15e4OkJtrZwxx0QEACJiVKE8/nzUrl0CWpq2p2k\nG4ukM4528Ox98OMF8N9v4dTiLyml70GdN1kkrSxdBS/9HX7+Q4jef9PhniyS9midnfF/+GFc7rgD\n56goWlQqsk+dIjsmhuxTpzCmpSEoFCg1GpQaDbZubkRt3EjA/PkISiVKtZqK7Gys9XoKv/mG/EOH\nyDt0iHIzVwDr0iKxtYMtn0FhPjy9Fppu7sFaapGc2rCc/10qfS/vH4P/+wzyzBl2G0KLxPJJevMs\nC0EALy/rNoHx8VEyZYozkZGONDWJXLhQSlxciWlbSkpKRTcxIMNnkUgM3GT7iBOS/mKOkKjVCiZP\ndmXWLC9mzfJkxgwPcnOr2bo1kb/85VynVw+NkNjYqBgzxoGICE/Gj7cnIsKe8eP1VFY2kZhYSXp6\njUk0qkzCUU1FRfsflKVDYhYucNTF0Ja1NYwbBxMnQmSktA0Ph4wMSVyOHJEWbuoLLnr4xTL48b0N\nHCaTXSRR1oegum6FBGDKHfCf/8LuD+D/ftNhptZcIelMoY8P3tOn4xMVhdf06SiUSmzd3GhuaKC5\noQErgwGdhweIIoJCGn69smMHl9eto8WCCYWbhMTgCB/shyvn4fmfQEvX3vF9FRJrVCwjiCUV4Xxy\nGn7/MWT3Zf78NhKSnup5edkQGenIhAmOREY6MWGCIy4uVly+bCQuroTY2GJOny7m2rVyRFEWkhFL\nV0JiZaUkKsqDWbM8mTXLk6lT3bh2rYyvv87l669z+eab3B48uQZeSAwGDZMnOzN1qjPjxxuIiHDE\nx8eWpKRyLl6s4tKlci5eLOfSpXKKi829uQy/kHSFSiWJSWSktP9uuWVXe2jXl6wkhHG4cJzr7CGF\nBjMWp+1RSACcXOBfH4JKDT95UOrFY7mQmDNQZufhwZ2//CUTH3kEpUbDmTfeIOWppyy6XgchCR0L\nf3kTYk/An37ZYz1zhUSDgu8RyPcJ5gKF/Pino0jJt6Ch3xEh6Qp7ew0REQbGj3dk+nRnoqJccXDQ\ncOpUPjExBcTE5HP6dCGVleaOC8tCMugIgiCqVH9jyhQv5s/3Yf58b2xt1TQ2tpiEI4eTJ/MoLzf3\nBt0/IVEoBMLD7YmKciUqyoWoKFc8Pa359ttCLl0ycumSkYsXS0lKKqepSWSgJ9t7Z3CF5CbMHNrq\nTOtkuwe2/JCxBOHAZq7yNdk91utVSEAaEH/qBXj4MXjqYTh5bFCFpBUrBwemPvUUBZcu0bxnj0XX\ne8gTcHFaXi4PAAAgAElEQVSDZ38Hdy2FF5+BvTt6rdebkCgQmI8PaxjDNYx8QDyZVNw02W4232Eh\n6Qo3N2umT9cTFeVOVJQbEye6kJZWwalTkrB8/XUuaWndme+ykAw6giCIZWV1pKdXcORINkeOXOfE\niVyqqix11OybkOj1GmbMcCcqyouoKFemTnWmoKCWmJgiUynkypUyWlq6+9xlIemKzl5bY3HmUcbR\nRAtvcYkkuh6oN0tIWrlzHrz+AWzbxPbn/ozYxdxCb1jquRxkQR2llRWrf/MMPPZz2LkF/vFHKDdv\nrZGehGQCLjxGBNco5XPSSW732cpCMpD1boyCqNUKIiKciIpyZ9IkF+bP90IU4ejRHI4dy+Xo0Rwy\nMlqFZeQJyYjz2hoIgoLeG7JsoXZ2au6804N587yYO9cTd3cbkpPLOXmymNdfj+fUqSJKSswO5ZUx\nkysU8wxHmccoXmA6VyhmC1co7M+aI99Ew92T4elfcX9WFmlbtpDyzjtU9cfBfjAQBPxWr2bCn/8M\nV87A96ZBZv/b6I4tjzIOP+x5h0vEMICLiliAQgEODkocHRXY2yvQaBQ0Noo0NEildb+xkQ7PmR85\nP3JobGzh7Nkizp69EZUbHGzPnDmeLFzozZ/+NI26uiaOHs3l6NHrHD2aTXb2IKwEZyG3pUXSV6+t\nnumotdbWKmbMcGPuXC/mzfNi3Dgnzp4tJDo6h6NHczl9uoCGhhZGShxJ79yaFkl7tChZQQj3EsDH\nXOML0qk19dr6ZJG0Y58+lKBHH8V/zRqMFy+S8tZbZO/d2+uE+KBaJIKA6+zZRL78MoJCwbmNG1mU\n9o1F12tvkVihZBWhLMaPT0nmU1Jo7Gb+aSAsEp1OWtM9NBScnaV9R8ebi04nUl7eQmlpM1lZjVhZ\nCWg0gikWpKt90GgErl2rxmBQk5dXT15eQ6ftjf2CggbTcHIrw2eRmENoqANz53oxd64Hc+Z4k5NT\nRWxsAQcOZBIdnU1FRV+dNeShrW4ZaCERBBWTJrmwYIE3ixePYtIkFy5eLObo0Vyio3OIicnvZunN\nkSskCgV4empxc9Pg4OCOTqdEp1N0W/Lzm/DyUpsCFKVSU+NEdTUdSnk5lJRAVhYUFtK1y+MgCEkr\nTlixghBm4s0HxHOIDD63UEha50gUGg0+999P0KOP4jBuHGlbt5Ly9ttUdpPGuD9ConVyYszzz5O+\nbRvGuDgAbHx8cF+wAI+FC3GfP5/C48e5vnevFKQoij0HJPbA3Tm7EYC5+LCesVykkC1cpaQXF2tz\nhUShAF9nGO0JoV4wug5Gj5aKvT1cuyZlMzh/XvrtlJZKxWi8sV9entCd01mPaDS5uLtr8fDQ4OGh\nNZUb++7u0n5CQhXe3lbEx1ebSjEJCZUkJlZSW2tZ/EnfsNxrSxBgzBhHFi4cxeLFvkRFuRMXV8RX\nX2Vx4EAmcXFFZqSdl4WkWwZCSJydrbjrLl8WLx7FokW+FBfXsn9/FgcPZvPtt3lUV5szbDa8QuLs\nrMbf39pUrNrtW+Pjo6WkpJGYmHIcHOyorGyhsrKZqiqRyspm02OpVFVJW2trBba2Ara2ClNxw8ZG\niiFpLfX1kofWqFGg18P165KotJbMTMjyg6xiyCiCxj6MPvYlsj0IBx5lHHZo8F+9Ak4cNv9CJrqa\nbLcLDCTokUcIWL+ekrNnMcbFUZmcTMW1a1QmJ9NQWmqRkCi1Wu752c8Y+8ILKLVaUt97D7G5GfcF\nC9A4OJB/5Ah5hw5RcOQI1VlZHepaKiQbc6JZz1i0KHmTSySameiwKyHRqmGsD0wMgIn+EOkPFTUQ\n4glJuabyhSQcSUmQnd1NJ+MmBneORK0WCA62ITzc1lS0hIXpCA62Iy+vjvj4CuLjKzl3rowrV8pJ\nSKjspt3DH9luba1i9mwv7rpLEhZHRy0HD2bx1VdZHDyY1U1SWllIusUSIVEqBaZOdWPxYl+WLPEl\nJMSB6OhsDhzI5MCBHLKyLBmLHBohsbFRMn68PZGR7kRG6oiIsMPf3xqFAtLT60hPr21XpMeZmXXU\n17d29QZnaMvaWlq/29dXEpbW4jsFvJ3Aw0EKZIvPhoQcaRufDYk5UNPFGLclKVKi8OTX6c6QlgS/\nexZSEs2u25PXlkKtxmXWLFzvvBNdcDD6kBB0wcGILS0UXbtGSXIypaatMS2NlqYmNLa2aOzs0NjZ\noW63P2blSlzGjEGhUKBQqxFFkYqkJFLfeYe8Q4cou3y5x7tun4UkIBh++WeK7lnC21zmW3K6TljX\nDV+vWc4EP4j0uyEcIZ5wLRfOp8P5NGl7MROq2xs3t9Bku1IpEBBgS3i4jvBwPY6OGpYt82hLm3Ly\nZAkxMaXExpZSWdnESBCSzowapesgKjY2avbtS+ezz9K5dKk1VYQsJN1irpDodGqWLPFj6VJ/wsMd\nEQSBAwcy2b8/k5Mn82hsbL3RjpxcWwaDmshIB1OxZ+JEB3x9bUhIqOT8+Rri4iqJi6skPr5zsGJP\nDM8ciVoFQe4Q7g1hXqatN4R4QGH5DXH5JhGOXoEZ71uYa8tvNWx4Ep58Dj77CF59CYy9R9JZ4v6r\ndXGhIjgYx+BgnEJCcAwORhAEDIGBNFZX01BVJZXqahpN+z533IFTSAhW9vYIKhUKpZJLv/sdl198\n0axrmi0kzq6w8UW4dyVs+iv3Px9FvZnpQ+xQE4UnM/Gi9KI7DrY3BON8mpRjq743p8hbSEi6w9VV\ny/TpjkRFOTJjhhMTJzqQllZNTEw+J08WcvJkISkpfYm4HZqARJVKwcyZntx7rx/33ReAWq0wiUoy\nx45l09DQ+juQhaSNnoTE09OW++7zZ+nSAGbM8ODbb/PYuzeNffvSyM2tuflkwHAKiaenFXPmuDBn\njjPTpjni42PNlSsVnD9fRlxcGXFx5SQkVNDY2J/4k5E12a5QgJ+LJCxjvOHOMJgVBuk2hZwmn1jy\nyMX8jM5tk+0GJ/jZb+Ce78M7r8PWN6C6e0tzKOJI2jMlMpKxL7yAz7JlJP7975x/9lmz6vUqJDa2\n8Piz8MOfwq73JRdhY2mvcSTtxSMMJ+Io5Buy+cOaaR0tDXPpo5C4ucHGjSVUVEhDrRUVUpH2Oz5X\nUdF5ImVo3H9VKoGICHtmzLAlKsoFGxsVEyc6cfBgDgcP5nLkSF4vHpvDE9keFmbgvvsCuPdeX8aO\ndebw4Sw++yyVrVuXyELSSmchGTPGkaVLA1i2LIDAQHu+/DKDvXvTOXAg08zYkqETEk9PG+bM8WfO\nHGfmzHHBYFBz/Hgxx44VcexYMVeu9PRDvz2EpCtstPC/22KYijtTcaeWJmLJ4zT5xFNCcw+DMzd5\nbfkFwbO/hZkL4K3XYMu/uxSUoRaSVq8taw8PWpqaqDdzcZZuhUSlgh88As/8Br6Nhld+Bdcz2g53\nJSTdicdp8qkzWS9DFUfi4gIbNhSi10sOH3q9ot2+ssPzjY0ihYXNpKc3kpbWQFpaMenptaSlSUO6\nlZXmTpz332srJETPokWeLFrkxezZbiQlVbQJS0xMUbuRDhgJubZcXKy5+25/7r03kBUrQmQhaUUQ\nBHHSpG088EAowcEOTJzowt69aezdm86JE7k0NfXVDWTwhESvV7NokScLFngyb54HBoOG48dL2oTj\n6tXukr11eTYL2znyhQRuzJEIQCAOJlHxwANb3uYSh8nqsl637r9BofDMr7sVlOESkr5yk5BYWcOK\nNTBnMdjp4I+/gMvnb6rXXkgCsGcFIfigI59qTnQSj/aMxIBEGxsBPz81AQEaAgLU+Ps3EBBgTUCA\n5FxSU9NMenotJ0+WkZ5ex+nTFVy4UEldXed7wcC6/6rVCqKiXFi40JNFizwZPdqeEycK+PjjDKKj\n87lucVrrkReQeFsKSVJSKbt2pbBzZzKXLvV3ZbaBFZLAQB333uvD977nzdSpLpw4UcBnn2Xx7beF\nXL1ahijKcSRd0d1kuyNWKBAo7qZ312scSTeCcssJiacPrP8JrP4hnD0Jm/4Kp7uPMbk7ZzcRuPAA\nIYxCzx5SOEA6Nb3cpEaikNxMx6EtV1cNAQHWhIbaMG2aPVOm6AkLsyUxsZozZyo4c6aC06criI/P\ns3AxK/MEyNFRy/z5Hkyb5szatUFkZVWyZ086e/akc+VKX5YHloVk0BnsgETzkYREqRS44w5Xk3j4\nYG+v5vPPs/n88+scOdKVK7EsJF0xYAtbdUd7QXn7b+z661s0lPZ97e8hF5L7ZsAjT8OdC+Dj92Hz\nv3qOclcq4e7lJG96Ey1KPuYax7hOk5m+W7eikHSFVqtgwgQ7pkyRhGXKFD0+PlouXCjjwIECzpwx\ncuJEiZnxJH23ZKT7gj3LlvmzbJk/LS2iSVQyOHkyv4cUSjASheS2TJEy3FhZKVmyZBSzZ7uzZk0g\n6emV7NuXzcMPf8358yV9GK6SGTJSEuHJhyRBeehRlqalUfTNN2Tu3En23r00lluYtngQUKjV+K5a\nxeinnwYne3jvn/DsI1DVg8eQlRWsXA+PPQuFeXxIAmfI75Pr7+1EfX0LsbEVxMbeEAG9voZJkwzM\nmOHIr38dSkSEPbGxRg4dKuTQoUIuXCgbsP9uc7PI11/n8fXXeWzceJLx451Ytsyff/zjDry87Ni3\nL4OPPkrh2LHcTvMqIxPZIukV87RWo1GwePEoVq4M5J57fDl7toStW1M5ciSvB4+wrhhqi8S3T6+2\nt1fg46PCx8cXHx86FBsbiIrq5QRLLGzmM5ZVi1kUaVG96X9MgdH3wpiV4D8PMo7B1Z2Q9BnU93DD\n/taydnJHL8ftfcBvLvjPAXtfEJvh1OuceigXepADFQ64sRIDs2igiFy2UMVFog7GWdbOv/e9SrAX\nTKyUsh60L9W9Ot8lW9JCwNKlGjtaFnq9ijlzXFi40JWFC11xdNRw5EghBw9KwpKdXdtlPfPpejjW\n11fH0qV+LF/uz5gxjuzencb27cmcOJFnErKRZ5HIQtIr3QuJWq1g4UJvVq4M4t57fbl0qYSdO1PZ\nvTuNwsJuq/XCyBASX18VkZFaIiO1+PiomDbNCh8fKWDu+vUmrl/Xcv06N5VuMofc4FYRkhcv3Hig\n1cPo+2DsKvCdBelH4MpHkPwF1Hfy+BooIdF7g/9c8JsjFY2dJGYZxyD5AJRJS/qe+u2ELk9nxSg8\neBgn7qKEw+TxAXVktB0fSiGZPQ7+Z5KUP8vJ6UZRqSRBKS2VtpcuQUMDpKS0lnSuX29qv96YmQyM\nkHTGx8e6TVTuuMOJgoJ6vvgin08+ucalS+YsE9mZ3r22fH11rFoVyA9+EIyTkxUffZTC9u2JnD9v\nnldfz8hC0i2DLSQKhcDMmR6sXRvC0qX+JCQY2bkzlY8/TiUvr73lMXJzbbVHqfRl9GhNm2hERmqZ\nMEFLba1IXFw9cXF1XLhQz7VrjWRlNbXz2Q+2rJm3opC0x8oBQpfB2JWSwBgCoDwLyjKlbVwWFGZC\nYRYUZEJlpxuMIIC1HVjrwFYvbW10MFEHWnvwmyUJh1Z/QzjSj0FRfJfN6SwkdkTgyVp0RFLALgr4\niMYu0p8MpZAAcPNqxmi1HYXF3h6CgyEoqLU04uamJDOzidTURlJSGklJaSAxsYHLlxvIz+9OYQZH\nSNojCDB9uiPLl3vy/e970NIi8sknWXzySSaxsebkuYK+uv+GhRl48MEgHnwwiJYWkf/+N5nt25O4\nds28pQNuRhaSbhksIQkJcWDdutGsXRvClSulHDx4nV27UsnO7s4+711IbGxU1NQM7WS7RiMQFeXA\n/PkGwsNtWbzYhZycJpNo3ChFRb11A7+jQtIeQQF27mA/Chx8pVIzCtx8wdW0VSgh7giETJEEQ2sD\nddVQWwk1ldK2ugKsKyWxqMyVxKMo3qyEVJKQKHBkLh6sRY0DeWyjiH209JCAcSQISe8ko9UK+Pur\nCArSEBSkJjBQjbW1wLJldlRXtxAbW0dsbB2nTtVx/nw9tbUiQyEknetFRDiyfPkoli+XUpJ8+mkm\nn3ySxddf53fKMNwey+NIJk925cEHQwgOdsDV1ZrNmxPYseNaHxbsA1lIemAghcTBQcuqVaNZt240\nfn46tm1L5v33k7h61Rxvnq6FZNQoWx56KIA1awI5cCCHjRvPdHrFwAqJQgGRkTrmz3dk/nxHoqLs\nSUio5siRUqKjSzl1yp6qKkt+A/0XEkEAD0fwdwM/N/B3v7Hf1AyBHlBeLSUALHeH8iaoaOq4Ta+B\n85VQ3E1s6aAKSVd0Htqy1YPOERrrJeGoq+5aIHqbI+mGU7+NZBz/pYV6cnkfI8fAjCWIexKSUVYw\nxxFmG8BJDV5a0ChMpQI0atCobpTcUrC3hfR8yCiEjIKO+xkFULfXknfX8xxJUJCaadOsmDbNiunT\nrRgzRkNiYgOxscXExpYTE1POtWt9mZ8cmDiSkBA999/vy/Llo6isbCQpqYKtW1OJje08HNX/gESl\nUmDhwlFs2BDGokWj+OKLDDZvTiA6+rqc/bc/9FdIWr+YdetCWbzYl4MHr7NlSxIHD17vo4/5DSGx\nt9ewYoUva9YEMmaMAzt3ZvDBB6mcOtXVOGf/hcTX14p77nFm/nxH5swxkJ9fz5EjRo4cKeXYMSPl\n5e2toL5Ntt/AfCHR6WDsWBg/HkbNhUlBkmiMcoGyKkgvkEr7G1BWIbSIoLeRblL6lWCvBnsV6JXS\nvl4pnX+VOyTXwIFi+KoETpVD61c17EJiLhYLyQQ0eNDQx0Wo2guJv7UkGrMNkoBYK+CYEY4b4Uol\n1LRAQ2t5DxoaoaGpXWkEZ3vwc73RIfBzNW3dTN9zKURHw0MP9aWVfZts12oFIiO1TJtWw7Rp9tja\nKomM1HHgQAkHDpRw+LCUcqV7Bn49ktaO47p1QQgCbN2ayrZtaWRmVjHQke2Ojlb84AchbNgQhqOj\nFe+/n8iWLQlkZHTXPllIusVSIRk1Ssejj45h5kwPrKxUbNmSwEcfJWM09nmmDwC12pbFi71YsyaQ\nRYs8OXw4lw8+SOPLL7N7ceezTEjCwjz4/vddWb7cFQ8PDXv3FnHiRBnR0aXk5fVk7g6ckCiV0iJF\n48ZJotG6dXGBq1fh8mW40ACpeZJwZBZCrbmr2fUwtKUSIMoBFjvBYmfpxnikVBKW/xmzmAYK+vzu\nbiUh6StK7PjLhRMsdZXEQyVIonHMCMdLIamnTrwFQ1uCAB4XpDmQhD6FhvTfayskxIYlS5xYssSZ\nGTPsOX++kv37i9m/v4RLlzqnxhncha2mTnVm7dpAVq3y5/JlI1u3JrB7dxqVlX1dBrx3r62ICGc2\nbAjjBz8YzZUrJfznP5fZty+d+vr29zNZSLqlL0KiUAgsWeLL44+PJSrKnW3bknjzzaskJLQfuupb\nqE1oqAM/+lEYq1YFkZFRzbZtqezcmUFZmbljl+YLycSJDqbJPi9sbdV88kkhu3cX8u23ZX1YEGhg\nhMTfH65cgZwcyfvm8uUb27Q0brRnCOZI3DSwyAmWOMMKjzIaKKCUo5RwgDozx89vNyERUOHAnThz\nN/ZMZ2uOjpgySUCS+zL6M8RzJJbR9Xdsba1g7lwDS5Y4s2SJE1ZWCg4cKOHTTwuJjjZSW2vppHXf\nBEijUXD33d6sXevH3LlefPFFJm+/ncDXX+eaOUlvvvuvRqPge9/z59FHxzBxogtbtiTw1ltXSU0t\nRxaSHjBHSNzdbfjRj8J59NEx5OXVsGnTZXbuTKG2tqsvqHch0WgULF8ewOOPjyEkxJ53303k3XfT\nyciwZB2T7oVEEGDaNEceeMCL5cs9aWwU2b07h927czl71jLLaaCERBCkNUhqerspDflk+yRsCceZ\nu3DiLhoooIgvKOErmujeZfN2ERI7InDmbpxYSC3pFPMFJRxm6sHjll3wFhaSzgQH27B4sRMTJuhY\nvtyFzz/PY8eObA4eLDBl1DYXy+NInJysWL06kDVrRuPoqOXNN+PZvDmR0tKeTHXL4kgCA+157LGx\nrF8fxvnzhWzadJF9+1LbDdnLQtJGd0IiCDBvng+PPz6W+fO9+eijZN588woXLvSWOK17IQkM1PPj\nH4ezfn0oFy8Ws2lTPJ99lmFKDDlw7r8+PtasW+fLhg2+nDlTSnx8Jbt353L1akWP9cxj8OdIOjCs\nXltK7JmKM/dgYBaVxFHMF5RyHJGOf9xbWUis8MWZu3HmblpoMInHfurbzaPcKl5bltF3ry1XVw0r\nVuhZvdqbsDAdn36ay44d2Rw7VmSGdT8wAYnTp7vxxBNjuO8+Pz77LIM33rjKqVNdDcv2LyBRq1Wy\nYkUQTzwxBl9fPe+8c4W3375Mbu5jspC00llIbG3VrF8fxrp1oYiiyHvvJbB9e1IfxiU7ColKpWDp\nUj8eeyyciAhntmxJ5K234klN7fxj6p+QaLUKli3z5Ic/9GXSJAd27Mhm8+ZMzp3rzvyWhaQrupts\nV2CDI/Nw5m7sGEMp0RTxOVVcRKTpFhMSATvG4MAsDMymiUpqSKCIL6ih61UhZSHpCuk/7ONjzcqV\n3qxe7Y2XlzW7dmWzY0c2MTHdeWsObGS7o6OW9etDefzxcKqrm9i06SoffpjcbtmLgYtsHzfOmccf\nH8/q1aE4OVnLQtJKq5D4+Tnx5JPjWb8+lKNHc3j99Yt8840lKV0lIXFysuKxx8KZNUuajN+06Sqf\nfJJGQ0N33RXLhGTixFH88Ie+rFrlzfnzZWzenMmePbldpLzuzHdXSKwUoBCgpovRPXO8ttS44Mxi\nbAnFgZlUcB7HL3ZByldQ2sc0jEMlJGpr8J9PwUMbMDCTJiowchwjx6niCr25AN8KQvL22+WcOFHL\n559XU1ral3xTAxdHEhxsx6pV3ixb5oFKJfDBB9fZsiWTkpKGHuuZR89eW4IA8+d788QTY5gzx5N/\n/OMy27cnk5zc34zmrdzoTNvZqamqekpO2tie3bvvZdYsbzZvTmDSpI/IzOzL8pcdCQ114JlnxrNy\nZRCffJLGs8/G9DHlc+/Y2alYudKPp54KR6fTsmVLJpMmRZOVZal74O2DUgGeTuDjIMU3+LQrrY91\nSkipkVyCr1RJ5XKltBXQ3jRs1ZlGisjjA0DKTWXPNBw9J8HM56C5QRKU1IOQdgTqLb1p9IKDLwTd\nBWff6v41Ok8IXiKla/GbA7lnqeUcuWymnmyLLqtXSc4J7lpp21rctZK7bwtwrgLOVkBiNWYuztt/\nFAo4fryWZcvs+Mc/XDh/vp49e6rZu7eKzMyB6pH3TnJyFX/4QyJ/+EMi06YZePzxAJKTF/Hll/ls\n2pTON98M1E39ZkQRDh/O5vDhbDw9bXn44WBOnFhGbGw+r712gePHLV0J8mbMW+Sve25Li+SJJw6z\ndWsy1dWWfzgLFvjws59NYOJEVzZtusobb1ylsLAvN/beLRI/PzuefDKU9euDiI7O5403Ejl2rMbC\nDKO3j0WiVsHiSfDQXDDYQfgouK6C63WQVSdt2+8XmTqHvtYw1u5GGWcHY3V11FNADSnUcI0cerhR\nt6NtaMt1DAQukm7yPjMg/yJkHIWq/BtpUcqzoM6UHbivFomTJ2z4Pcx/EJQa+L0WHPzBORRcQqVt\na8k5A3VlUuLI5P1QV2aR+y8ocKs9h4cGGkUoaID8emnbfr+kURLryXqpeGrh4jU4mwznkqVtUg7m\neQj2Y2jLykpgwQIbli2z5d57bcnNbWbPnir27Kni4sWuvCEHN7LdYFCzZs0oHn/cH1GETZsS+OCD\n1D54ZrbS946ilZWSNWuC2LgxkurqRl57LY6dO1MsWLAPbnmvLUEQHgBeAkKBKaIonm937Dngh0id\nn6dEUTxoen4SsAWwAr4URfHpbs5tcUCiVqvkoYdG88wzEQiCwGuvxbF9e1on32tz6V5IZs1y4+mn\nw5k1y4333kvm3/9OJCurNdXKyEja2DsDLyQzwuHhubDiTki4Dh8ehV0nwFiFxXMkpxZNwYpRWBOI\nBjfy2WZWvS7nSFRW4DsTXMeBU5CUhbc1PYrYIglKhinHVmEWlOSCWgtKlZQqpf1WawNLfwK29tIY\nhtI0ONBYC5V5UJx4c6m+OYDVMiGB1V/HUdgAtX24/+hVMPGgFFA6OVjauhtg+3E4c036riq689ob\noDkShQJmzLBi2TI77r/fjoyMRmJi6ti8uYLU1NYb49ClSJk504nHH/dhyRIv9uzJ4p//TCAuztwR\nC8sDEgUBlizxY+PGCYwebeD06Xw+/TSN2tom7OzU2NqqSU+vYP/+nj6LW19IQpGs5jeBn7cKiSAI\n4cB2YArSikuHgWBRFEVBEE4DT4qieFoQhC+Bf4iieKCLc/dZSHQ6NU88MY477/REqRT4298ucPjw\nddPRgVkhUatVsnq1P08/HYa1tYrXX49n69bUIc+1dTPDKyShPpLl8YPZUNcI26Jh+zEpWLEDIzHX\nVnusHCRRyW2XawtAZ4DmZmhugpZ2W4USlvwIrGwBEVQaSYz+qING8wM7LBWSgZojcbCD2WNh7XyY\nPwH2n4X3j8Ch89DcXqQGabJ93DgN69bpefhhHYmJDWzeXMHHHydQXW1J58/ygERnZy3r1wexZIk3\nKpXAK69c4csvs3sZXRiYyPaICGdiYx9Ao1HS0NBMU5OIRqPkq68yuffez3s4zy0uJG0XF4SjdBSS\n54AWURT/Ynp8AMlyyQSiRVEMMz2/GpgjiuLjXZzTbCFxcrLi6acjeOKJcRw4kMnLL5/rIo9W/4TE\nYNCwZk0gzz03ngsXSvn73+M5eDCnhx/Y7S8k9raSeDw0V0qlsf2YZH1c6GFhvxEvJK30dWjLwQVW\n/QKWPg4aW/idBprNH5IdbiFpj6MOVs2SRMXX9L1uPQKX0hl0ry21Gu65x5YNG/TMnKnlk08Kee+9\nXE6e7MuCZP2PbFcqBVas8ON//3csWq2Cv/71Ktu3d+eUM3ApUlQqBbGxDzB+vDMqlYLGxmbWrj3E\njpXu+jUAACAASURBVB09fYYDJyQKSyoNIp7QYdYwG8ky6fx8DpavEYunpy2vvnon166twdXVhmnT\ndrJmzSEzkzGah6urFS+/PInk5OWMHm3P3LkHWLLkEF991ZOI3N7MmAFbNkLGZpg5Bn61FXzWwf97\ntxcRuZ0pK4I3n4XXfGDnyj6JyEijtBLe+AKiNsKcX0BtA3z2IsT9E558EpydB+/ajY2wZ081S5fm\nER4eQ1JSDe+8E05iYhS/+IUvrq4DlQ28Z5qbRT76KJ1Jk/bx9NOnWb36/7N31mFRbW0b/+2hW8HA\nFgMDUBHEBANpQezAbj12YOtRj93Y3YUdgI0YmNiKWMcWExUpBeb7Y+CIOLFnwPN+r6/3de1r7ZlZ\na689te71tBUPHzZj6FAbTE1/3j2kpqbj5raXN2+SkEqlxMWlEBRUl61bPalU6Sd+8Bn4aV5bgiAc\nASzlvDRKKpXu/1nzyhDGt7dWlszdc+nSZgQGVqV58zKsWRONnd1mXrxQWaZNLRQpYsSwYVVo374c\nmzc/xN5+P0+fqjPHv72Q/FwPmLx5oUMH6N5dVshoeQgMnQJv1c1GcUmz+ce7T9Bo3KH2jTWb0Eyz\nYfjFAduhqnrDxqPZ+9P08yRWXLe7sTA2CsbNBJeq4FUG7t2D/fth8WI4d07MVTT7bcbGfmHmzMfM\nnPmYGjXM6Ny5EBcuOHHsWBxz5jzm1i1F/8fc/e8dO/aSY8deUrmyOcOG2fDwYTNWrbrH/PnRalZN\nFYf375Np2HAPly61ol+/k4SGPqJnT1sOHvTj0qXXTJ58kfPnswY4xgC5s4P7aUQilUrdNBj2HCiW\n5XFRZJLI84zzrM8r8X1zI6uNoly5vHTrVpFOnSqwePENrK038O6d4loNmsDKyoThw+1p0aI0q1ff\nwcZmD7Gx/7vuu87O0KMHNGoEBw5Anz5w8iSgmabpOwiATT4omQfy6GccetnajPNkHEkHXpDACxJ4\nntG+J/l/ol65KboUwpBCGH3XDm4NZfNCXDK8T5a1ccnwPun785h3cEtV8gclkEohIgoiVsKMGdCp\nE2zYAPHxMkLZvFlEWp0c4Ny5j5w79xFzcx169SrCkSNVuXo1nlmzHnP8uCZVDdXHtWvvadfuFCVK\nGDNwYEXWrq3DnTsfmTr1QrZieDnH7dvvKVZszT/r2+zZV1i06DpdulRk2zZP7t//yF9/XeTEiedA\n6YwjE0c1nvf/g41kqFQqjcp4nGlsd+Kbsb1MhrH9PNAfuACEoNTYPh0woHRpM8aNc8LLqwRTp15i\n5cpbGmTaVM61ZcqYMmaMI40alWDJklvMm3c940vUNLJd03EWGo7TVENY4YdndHWhbVto1UpWw33F\nCtmi8T6rxlBTImkO5SygvS20s4UrsaAtgQ8p8CFj4fuQ/O1xZlurSwSWGFEYI4pktIUwwghtXpL4\nD8E8Jp6XJPCMBD6QwqH7Gkok+zR8f36aDfMosxdDtCmGMcUwIT/6lMYMSwwpjBHpSHlJIrEk8CJL\nu2NxLQQgr77sMDf4vs08N9CGMnlhzXVYfwOer9Hw/WUxyQgCNGwo21w4O8PGjbBkCcTEZB+kVqrg\nLFC8x9TTk9C2rSVDhxYnJUXKrFmPCQ5+lVF8StOYEPU2jAUK6BMYaEvnzmVYty6GadOuqBlaoJmk\npqMjISCgHD4+JbGw0Gfs2AjOnMn6WQ3/7zK2C4LQBAgC8gEfgStSqdQr47VRyNx/U4EBUqn0UMbz\nme6/Bsjcf/sruLa0ePEljB3rjL9/KRYsuM68eVf59EldH+9MyCeSokWNGD++Go6O+dm58yELFtzI\nVp3sf4dITE1l0sfAgbIMwDNnwrFjCoapSSQWeaCVO3RoD8VMYdMt2HADbogsWe0+Sv7Kro8WhTOI\npTBGFMQAK8wojjEAJslR8CUGvtyBr5ntA1SqP34mkWhZgm4F0Ckva3Ur8NawNsbo8JTPPOUzj/hE\nbAZBxpJIvIL7PTxFPHNVKwRdKkPLCnAuCtbsg30RsjokoqHAtl+smOy3062bLFP0nDlw8J/tYe4T\nSSYEATw9LRg6tARlyhgSFPSE5ctvEB+vySKtmebB0lJg5Eh72rWzZuXKaGbMuCpSU5IzdbSWlkD7\n9uUZN86RmJj3jB17mkuXYvmvI5KfCUEQpG/fJrJ06U1mz75CXJzYgheK8D2RWFjoM3KkPZ06lWfZ\nstvMnHlFQSDSr08khQvDgAHQtavszz9zJly7pmKYCCLR1QEfZ2jvDfWrQcgpWP8Rjj36VrBKLBQR\niTKYoUvws79AtzzolMtoy4N2MfhyHdCC9LeQ9g7SMtrMx6ffQtI7SPkASAFBtmqB7BwyHmeeS0A/\nL9TND1ryjgKyVpoMWuYyQvsSLTu+RtOh8BBek6S2mk4dIsmEgTY0/QRdGoNdGdgcBqv3wnUxzlUq\nnMR0dKBxYxg9WqYO++sv2L07WkPHFPUivu3tTRgypDgVKuixY8czgoLukZCgzmKtqQpbNq5IESNG\njapKq1ZlWLr0FrNnX1OxbuWOXVNHJ4UuXSoxZkxNoqJi8fe3/k0kmRAEQZovXxBvc6DX/R4yIjE2\n1mHQoEr072/Htm0P+OuvKGJjlek3f10isbHRY+jQUvj5wfr1MHcuPHkicrASItHWhj4twL0GGOrD\n+hDYeQziE4Dmat8moBmRAApUW7qgXQi08skOST7Qssh4bCF7HGcBBvng0xPIZ5cxTpqlvK70++fe\n3QbjQmDyBtIyj9dZzrMc0h+NxB5lNKphqxGRALBD1lgVgU6+smPEAtjyg5I5G9TwNvb1hbFjwcAg\nmcmT3xEc/EmN+jqgLpFkwtr6CxMm2FK3bn6mTYtm2bIHpKSImThnRJKJEiVMGD26Kk2aWDFxYhSr\nV0crILTccpCRza+np0XPnlUICmr4m0gykdVGkhvQ1dWlZ08bRo2qytGjzxg//iIPH4rxN//1iMTG\nRo++ffPi72/CggXaLFkCceraKxUQSSMXmDUQHr2EoXPhZvZcif8viEQE/gM2Ek2QUyLJhEQiy4f2\nVdXapkHYiofHE8aOzUf+/FpMmfKOTZs+kipqDdU0B5XMRlKpUh4mTbKlSpU8TJp0m7Vr/86woShC\n7hBJJkqVMmXMGAfc3YsybtxF1q6NIT096/y5SyTfoLlq6/9bHMn/GwgCNG9ehjt32uDuXhQPjwO0\nb39MJIn8WihWTJs1awpx7FhxYmK+YGV1nylTNCARObArC0eWwIwBMGg2eP4hh0R+4/8t0tNFkIiG\nOHQogTp1HtOzZywdOpgRE1Oa7t3zoP2TU81ev/6Bxo1P07LlWVq1KkZ0tBdt25ZAItFojVUbDx9+\nokuXcJo0OUTHjuW4cqUFbm5FVQ/8D+I3kchB9eoFiYxsQWBgVdq1O4avbxjXr/+8LJ//X2FursWs\nWQW4csWKp09TsbZ+wLx570lOzrkUW8Aclo6GI4thzwmo1ArCNE3B/hu/NE6cSMTV9Qnt27+gRg0D\nbt0qhZ+f8U+f9/z5d7i5RdC9+yX++KMMV6+64+5e8KfPm4mLF19Tt+5exo27wMKFzoSF+WBra/6v\nza8OfhNJFhQtasyGDW7s2OHN4sU3qF49mMhIkRFYvxAMDQVGjrTgzp1SGBhIsLX9m3Hj3vDpkyYZ\nRr+Hni4EdoRb2yEhCco3hUXbEKmy+I3/JpgYwabJUKaY6r5iEBmZRNeuL+nX7xWTJ+fn2LHiVK6s\nlzsXV4ITJ15Tu/Yxhg+/xvz5VQkJccba2uSnz5uJvXsfYWu7jZCQxxw96svy5Q2wtDT81+YXg99E\nAhgYaDNunBNXr7bm0aN4ypffyIYNd/7nUplIJNCjRx7u3i1NpUp61Kz5iD/+iCU29vtVXktLs+u7\nuMCJFVC1PNTsBEPmwAfNS8VoDBN0KIMZjhSgLoWphSXVKEBl8lERc8piBrq2oFMWtIuDVkEQTAHd\nf/9ms0LQA0le0C4KOtagZ48N5jiQn1pYUp2CVKcgdlhQBjMKY0Qe9NBDwy8sh0hMhou34examTeW\nTi5lCDl8OIEqVf4mOPgTBw8WZ+XKQlha/vzSSmFhsVSqdIijR19x5owrM2dWxsTk3ynp9PVrOgsX\n3qRcuS3ExSVz4UJLAgOroqf3n/lus+N/3tjepo0106bV4uzZWAIDz/DkSfaVLXey/4qFtXUBvLwK\nMX/+XTVH5szYXquWAYsXW3LrVjKzZ8dx+fKP/ux580qYNq0ABgYSOnQQnwvEzAymTwcfH/hjtiwG\nQW2oYWzX0wKnwlDCDFz9oimAAQUwzGgN+Eo6r0niBQmkI0UHCTpI0EXrn/OyKc9kC3fmkRYri91A\nW+aKK02StelJGecZj+9Gy9LLS6V889aS0ybHyby7tHRlRz7djLl0sx16kPoGdMsBqZCeKPPeymhv\n6ZUgmVRSSCOWRIpghCE6GKCNYcZhgDbaCCSSSiKp3OQdV88XY3cMnH0O6eosATtUd8mO4oVgYS8o\nVQp69oQzolWYquNITE0ljBplQdeueZg37z1z5rwnKUmzIl/qBCQWKKDHlCmV8PIqxOjRUaxbd1+D\njafmSRtLljRh7lwXbGzM6d//JAcPapI6P/eM7f+zRGJvn5/hw6tSurQZAwee4syZlwp6/jtEoqen\nxciRdvzxRwUmTbpFUJC69ao1IxJz8+JMn14AT08jBg16xY4d8kWEgABTZs4syM6dnxg9+g2fPpUT\ndX1/f1iwQJZjacQI+FRa9Ri5UINILI0guCk8+Qhatvd4TSKvSeI1SbwhiUQRXi+KvbYkIOiDYCBr\nJQYZ5xmPz2qBll6WWBHh23nWNj1NljY+/YusCmOtLyCVc/AF0pNBmoi8+oRivba0EP4hFXP0MD/l\nQpNyUMAQ9t2D3TFw/DF8UZV9XQMiAeAKNG0K8+dDSIjst/BBZb418QGJJUvqMG1aAWrWNGDw4Nvs\n3CkyYvU7qG8HdXQ0JyioMlpaAv36nefCBfFxB4aGX+WUkRCDb2O8vEoQFOTCjRvvGDTolJrVYH8T\niUKoIhJTU10mTapBq1ZlGTbsNBs3xqjYSfx8ImnYsBCLF9fk2rX3DBx4nefPNdmpqEckggAdOxZi\n2rRybN36ibFj3xAf/6MNpGxZXRYvtsTCQouePV9y8WKmpPJjipSssLSEhQvB1lYWtXz6dMYLIgIS\n69hD47owLGvK8t/uv3KRU/ff0nnB3xqaWEPFfHDwIey+C2EP4LO8ONscEAnIsiBMmQJNmsDgwbBt\nm7JB6ke216plwPDhRujrS+jZM5pHj9TJqaeZQ40gJNGuXWmmTq3Kli1/M336Dd6+VR0IPWNGFezt\n89GrVwQPHqjjDfo9+ejpaTF0qD0DB1Zh/vxrzJx5WWQxvt/uvxqhdeuy3L4dgIGBNhUrbmLDBlUk\nIkPNmgUZNkyzug/KULCgAZs2ubB8eS0GDrxAixYnNCQR9WBjY0REhAO9exfFy+spAwe++oFEdHUF\nxo3LR2RkCUJDP1Ot2t9ZSEQ5unaVRbhHR0PlyllIRASGtIft0+HoBXXe0W9oigdxMPs81NkAFZbD\niSfQpRLc6AZT68mi2VVhYABYiyxr8+mTLKV806YwapRss2EpL0e4hoiMTKJZs+scPfqeixedGDSo\nOJKfvMpJpbBhwwPKl9/N58+p3LjhT9u2pVSOGznyHGFhTzh3rikjRtijra3ZjaakpDF58iUcHbdR\ntWp+bt5si5eXpnWGNMP/BJFYW+fhyBF/hg93oHnzMHr0OM7796oXRRMTHRYsqMOOHR65Gj8ikQj0\n7l2OGzca8/jxZ2xs9hAaqqleVzwMDSVMm1aG8HAHtmx5Rc2aF7ly5cfPoV49Q65ft8LeXp+qVf9m\n7tz3pInY4BQuDEuXynInNWwoi05OEZmhxswYds2Clm5QvSMcilTzzf1GjvEqAZZfAa9tUH2tLLfZ\n1a5QS0UIQ3wCnFoF/vXFz3X+PDg4wJs3cOWKLJo9t5CaKmXmzMfUrHkRX998nD1bDTu7n+8u/Plz\nKhMmXMXX9yiBgbaEhDSkeHEjhf3T0qTMmXMNR8eduLgUJiqqOU5OBTSe//HjeJo2DaVfv5PMn+/C\n/PkuFCmieP7cxC9NJPr6WkycWJ0zZ5pz4MDfODpu49w5ce68jRqV5ObNAPT1tbGx2crOnbmTt9/G\nJg87d9anTZtS1Kt3kFGjLpOUpElZUPVQp04egoMrUbSoHnZ251iy5NkPaScMDAQWLbJk+HALAgNf\n06TJM54+FafD9fWFqChZqpSaNWUJ+MSisjVc2gTP34BzV3iiyFz1G/8aXidCu30wPBy2N4FZrqCv\nQDpZtQcaDYB5Q2FyX0RLAKmpMGECNGsG8+bJMgAb5qJX6/37STRocJnly59z9GhVJk0qjZ7ez1/y\nLl16h6Pjfk6ffkVUlC99+5b/lm5NDh4/jsfbO4QpUy6zZ48nQUF1MDHR3MXt4MHH2Nlt5tWrRK5c\naUOfPnZK588N/LJE4upalJs3A7C2zkvlyluYP/8aaSIy/hUsaMjWrZ7Mnl2HDh2O0L37CQVJGdWD\nlpbA8OF2hId7snv3Y+rWDeP2bXWrO6kPXV2BadPKsG2bHUuXPqNdu1u8evXj+3Fw0OfyZStMTCS0\navWcffs+i7q+nh4EBcmOpk1l+m918iJ1biyLbB+7GPpNVzOj7G/8dOy5C5VWQhETuNIValSS3+/i\nLXAMgOq2ELZAlrVZLCIjwd5eRiJRUbLz3MSqVS+oXPkcFSoYcfVqderUEX9zlSqp8UayIDVVytSp\nN6hTJ4yWLa04fdqbChWUezpu23YfG5ttGBhoc+tWa/z8Smo0N8jUXVOmXKJu3Z20bWvNqVPNqFAh\nr8bXU4VfkkjWrfNm+fIG9OhxnNatD4qugti5cwWuX2/DgwcfqVx5CxERmubs+R7W1qacPu2Nm1sh\nHB33s379g38lRsXOzpgLF5woW9aQypXPceDAjx4lEgmMHGlBaGgx/vzzLR06vBAdeFi+vExFUbAg\nVKkCZ8+Kvzd9PVg1Hoa2h7rdYOsh8WN/49/FuyRoswdGn4BdM2H6AFlgaXa8/QAef8CVGLi0Eaoq\n98f4Dp8+QceOMgnl4EEYNky8ZCMGsbFfaN78OqNG3Wf48BLMmFEGHR3l23RdXQkbN1Zn8+Ya5Mmj\nmYQQE/ORunXD2LDhARERXowZUwltbcXzxsWl0L37Cdq3P0bPnhXZvLkh5uaaB11GR8fh7LyTjRtj\niIhoxvjxTujq5v6y/0t6bc2Zc5ExYyJFu9aVLGnKlCl1KFMmD926Heb69awLrqZJFHUQBOjf34Yx\nY+wZPz6KJUvEpMXWdD7Tf84kEhg8uDSBgaUZOvQ269fLt7+UKGHAhg1OpKZChw4PePZMvOTVtWsl\npk7VY+TIFFatUkOMKGZKfgvYuhDu/Q1D/oIEMUXi/hB3+YJGMM8Vpp+Dq6+h0/Cl4u8tC9ac6a3R\nOA5rNgx3zYZ1rr1Eo3Frp/fSaFy+LbDoL7AqBu0GwF0FGt+mXrB0CgyfCmuCgafibYzFiwts2GBA\nWloi7ds/4PlzdTUCr5W+amGhy6pVlSlSRJ+2bS9z717mRvPHe9TX12L69Cr4+xejY8eznDjx6oc+\nYuNBihY1YuTIylSvXoCAgHBiYpS7CuvrazF5cnVatSpNjx4RhIZmptjWzCGnSBFjFi1qQNmyeene\n/QiRkdlTdv/22voOgwcfF00i3bvbceFCW06ffk6NGluykYjmsLIyITzch+bNrahRYx+LF2taW0E9\nlCxpQHh4LRo1Kki1aqcUkki7dkW5eNGZvXvjcHWNFk0iZmZabNtWhn79dHFxSVSPRADrUnB2D5y6\nCL1GiSQRkehsB9c7w8MPEP2/lxrtX8Hb99CqDwSthhPBYG8rv9+uMHBpAR1bwNQRqKWjf/JESv36\niRw58oFdu8pSr56p6kFq4N27L/j7X2TVqiecOVObTp0U53BJTk5jwIAoevQ4z8aNtZgxw17jHf2z\nZwn88Ucky5ff4dSpRvTubaO0f3JyGkOGRNK27VEWLnRmxYp6ObKdPH/+GX//fYwbF0lwcCPmzGmA\nsXHuZGv4JSUSWRyJcr/FQoWMWLnSnYIFDenQ4SC3bytaedSXEHr2rMhff1Vn6tRrzJt3M1sKaFXQ\nXCJp3rwQixfbMX36febOfSjXVmFqqs28eTY4OeUlIOAy167pi56hfHl9Vq0qxfnznxk50ki0R1Ym\natfWYscuI0bNyNilqgMlEkmpPLDcA8z0oGsYXM8Si5arEomgA9oWoJM/48gH2hmtTn5IS4CPpUCi\nBYKW4jbhNRiYw9cE+JIgay0TZOPTM9q0z7LzLy8g+RGkPEFeQOK/LZGw6NtpE0+Z1NG4G5y7LL+7\nmSnsXQmxj7/SoUMSX9QSLqJp0MCUTZtKM3nyCxYulCcNyINyiSQrbGxM2LKlKrdvx9Oz5xk+flS8\nMbKw0GP5cidKlzYhIOAMt259zHhFfQnB2tqMjRvr8uZNEl26hPPqlfJrGBvrMHt2LdzcitK580Ei\nInLm5Zknjx6BgQ60bl2eLl0OcuLEE34HJGaBGCJp3boc8+bVY8mS60yefJ7UVGU2AfELu4WFPmvW\n1Ofjxy9MnnydO3c0MaarTyT6+losWFCTypXN6NLlKjdvyo9uLV/emD17qhEc/JwpU+6TnJwOiHM3\n9PQ0Y9260gQGPmHdureoCkjMjhYttFm4UJ92gyQcOaXWUBnkEImWAAOrwYjqMO08zLv4YwVFTYhE\ngsCqq0vBtI7sEPTArB5IjCD1HXx9A6lvZe3XN/A18zwWrgkgTcuIXFfSaumBrhHoGMnaSkYgMQYt\nI9khyWi184NhedApACmPIekeJN+TtUn3GGbbiXd8RqpmjcTcIBIAz3qwfi607AMnFNjI9PRg49Sv\nWFgI+Psn8km0lksWkGhlpceePdZcuvSZPn0ekZKi6r2KJxIAfX0JM2ZUxNc3PwEBkURGKo+K79Sp\nFDNm2DN58k2CgmKQSjVTNWlrpzFunAPdulWgV6+T7Nv3SOUYL6/irFhRl+3b7zJy5GmSk3OS7TQV\nb+9SLFvmwc6dMQwcWO03kWRCGZFYWOizeLErtrb56NDhIFFRYnY44hZ2F5dCbNzYkC1b7jFmzAW+\nftU0mZp6RGJlZcyOHc7cvZtEt27XSEiQ70rcpIklS5dWIjDwNuvWZd3NqCaSQYMsGTq0EC1a3CMy\nMtObSzyRDBmiy4ABujRqlMj1OA39+bMRSeUCsNITPqZAj0MydZY8iCESPbQpRUHKYklZLClFAQwT\nH8Cn07Ij/hJ8fQlpIjYGP8tGItEHvVJgUBb0y2S0ZXmXpxoG6NKXtWqRiSoisTKD5uVgZvbA0EU/\n9q1bA4IXQ8fBcPCEgtt//on58/VxdtbCyyuRly/F3Ou3yHYjIwlr1pSiWDE9mja9y8uXylSqPxKJ\nlpbAtGkVmDnzPq9fyxeLGjUyYcWK6syde4dZs6KVahJKlTJm9eoaPHr0mcGDI3n/XpOS3rL3UKuW\nJRs2uHL06DMGDz6jssyvubmUhQsbYGeXj/btD3L1qnrE+Q2yefLm1ScoyJX27W1/20hUwcfHiuvX\nO/D0aTwODptEkohqSCQC48Y5snWrG927n2D48HN8/ZrzdOti4O1dmLNn3Vm79iFt2lyWSyISCUye\nXJ65c23w9j6fjUSUQ1dXYNUqKzp0yEfNmreykIg4SCSwYIE+HTroULNmAtev587n0qYCLGwIi69A\nw22KSUQZDNClATaMoynz6Yg/juiizVFuEshmuGIDD3rCmw2QHC2ORH4m0pMh6Ta83wsvZsODXnDL\nlaFsYgDr1JZIVCH+C7StCLMbqO4bcQ78usLa2TJ1l9zbT4d+/ZLZtu0rZ84YYW2t3tKTkJBOy5b3\n2b8/jgsXbKleXb0NSXq6lM+fU7lwwRl7e/luuAcOPKdq1TDs7PKwf39dzMwU2yMePvxMw4bHeP06\nhagofxwd86l1P1kRGRlLlSrB6OhIOHrUj6pVlV/r/ftk2rYNZcyYMxw61JRBg6rmKE4kLi6Z9u1D\nNL8AmieS+q+Bvr42c+bUpVAhI1q3DuHUqdxx6QUoXNiITZtcSUuT4uCwg5cvc9FyrAQSicCff9rR\nqVMpmjQ5ydmzb8nqtZWJvHl12Ly5Knp6EhwdT/H2rXgFdf782uzaZc3r11+pU+c2CQnqkYCODsya\npUeZMhKcnRPUUGcoR1Nr2eLmulUzg7oWEupRAV8cuM4TNhPJI96QKsf+8N+CVHJ/4/I2CRpshYMt\nYJEb9D2CUqo6fwU82kPYejA0gE275febOvULL19KiYgwxN8/ifPn1fvcp0x5wbVriezbZ82IEU9Z\ns0ZcckapFCZMuMvNm/EcOlSdvn1vEhz84od+L18m0bnzWWbNqsqFC574+0cQHS3/x5uaKiUw8Arn\nzr0gNNSD0aMvsWJFjFrvJxPx8V8zqiJacfBgI8aNu8jSpbeUjtm79wHXrr1hyxYfXF2L06nTId6+\n/fkpluThl5ZIbGwsuHixLWZmenTseDBXScTbuzhRUc05cuQZ7u4H/jUSyZdPj4MH61O7dn4cHMIy\nSORH2NmZcPGiM7duxePmdk4tErGzM+DCBVvCwz/RvPk9tUlEWxu2bjWgZEkJfn7q6MSVw6sULHYH\nr+2akYg9JZlES6pQklkcYDUnuE/sfzWJ/EzEJcskvkoFYJU3qKo0e+02NGgNLRtBSyUpT9au/UqX\nLsns3WtAvXrqq4BDQj7g4nIbb28z/vpLvRK0O3e+xM3tHNOnV2DSpHJyd/KpqVIGDoxiypRbRES4\n0bix8jl27XpEnToHGDDAljVrXNDX17xGyO7df1O79m5697Zh40ZXjIyU7/UfPfqEs/M2rl9/y5Ur\n7ahXL5eqiKmJX5ZIevWqRHh4C2bOvERAQCifPuU8Oh1AW1vCpEnVWLLEhebNDzFlymU1vbI0BTf7\nSAAAIABJREFUh719Xi5c8OTSpfe4ux/nzRv5etnGjQty7FhNxo6NYejQ26Ii+jNRv74pU6cWY+TI\np4wb90xtl2VtbdiyxQAdHWjRIomvuRSp3qAErPUGv51wTU2VsBX5GY4fTXFiM2eYTQjPeJ87N/Zf\nCAuMVZJCJuK/gGcwFDeBDY1QWS/9zn0YPQOC/oT6tRT3CwtLpXHjJIKDDXB1VX/hjYlJpnfvR7i7\nm7F0aUm1ghevXfuEk9MpXFws2LWrGsbG8udft+4h3t7hBAU58uefytOM3L37kerV96KrK+HsWT9K\nldK8guK9ex+pUWMXKSlpXLzYnIoVlUekp6amM2rUabp0OcymTV5MnFgLLa1/p758Jn5JY/uuXTGU\nKGFG69Yh3LuXU932N+N3wYIGbN/uwZ07cQwffo64OGUGNk39veUb25s0KcayZU507nyOkBB5kpVM\ntRUYWJouXYrTqlUU166JEQW+Gdv9/PKyYoUVLVrc4+RJVXUNfjS2a2vD5s0GGBpC06YKXD2LqR8T\nUMsR9myE5nvg5FPx44qbwtbe9yhPYfZwkdPEkC7SliAuIFECeiVkXlUG5cCgPDwDzMuARDvj0Mly\nnuV4cwtMCsOn5xD/HAo8hy8ZR0pGm/ZR5R1o4v7bE1f+vl2WDiGg1GExC/S1Yac/JN+F1n1RuUHI\nNMC7t5NJKooCEp2dtdi504CmTZM4fTq7ZKg6jbyxsYTdu635+DGNgID7GR5d4nYaOjoCCxbYUbt2\nXvz8LvL33/Lz8BUooM+OHc7ExX2hXbszxMdnN4Z/r07q27ciY8fa07XrKQ4cyB70lxWqd1mdOpVj\nxoyaDB4cycaNmcXuFKuvChQwZP16T4yMdGjbNpSnT5X9j7O/j9/uv/9AEATprFkXGDUqki8qq/SI\ngWxhr1GjIMHB7qxaFc3EiZdE7NRzj0iGDatIv37WNG4cwZUrcXJHSSSmzJ9vi4uLBd7e53n+XGwd\nBhmRBARYMGtWcRo1uktUlJiUMt8TiZYWbNpkgImJjEQUxpioSSQOlSB0LbQ/Dof/Fj/OuSgMrwGp\npS8RxlVSRBSzyorviUQChjZgZCcjC4MM4tAvI3P7TYqBpDuyI/KhrFBVeqryA6msQqJpEdlRqQjo\nFQHdLIegBfHnZW6/7/fCh8OyioxZoAmRaKNF4/vdSZNCq70gqnQFoKsF2+xk+dDaDVBNJs19YO44\nqNMMHp9VvKlxddVi82YDfH2TuHAh682Iq0eiqyuwcWNpLCy08fe/R3y8elk/e/cuQYsWhRkz5rJC\n118dHQnz5jnQoEFBfH1PcP9+VseTHxf2mjUL8OefVYmIiGXKlKsKZhYnrtvamrNjhwcRES8YMOA0\nycnKnV4EAYYOdaR5c2smTjxLSIiiP85vIlEIsQGJ4mFAz54VmTjRiS5dwgkJEVvSMudEoq0tsGSJ\nE46O5jRqpLhWib6+Fps318XUVJumTS/x6ZM6i2YB+vQpyIgRhfDwiCE6Wqyx7huRaGnBhg0G5M0r\nixNQGqioBpHYWMPRzdBzJOyzFj0M+4IyI3HrfVCiTQ4CEnXyQ4EuYNkTEq5leE7dyUIcd2Ulb7Mi\nN91/tYxBtziY1QcLfzB2go/H4f0eeH8AUt9pHJC4aWYvNvpCHj1oshsSRaogtZfBqhkQ+xaGT1Hd\nv28n6NsRaleP5907xWuNt7c2q1fr4+mZyNWrmWKS+MJWEgksXFgSJydjvLxO8+aNeqpsd/f8bNxY\nhS5dznHggGJbaseOpZg0qRJt2pzhzJlM0pH/n7G0NGDvXjdiYj7SrdspvnzJLv6J1/uamOiwYkU9\n0tOljBhxQk5J8B9Ro0YhgoMbsXbtLf7886wcFXzuEckvayPJDejpabFyZT369rWjdu3dapBIzpEn\njy4HDzagYEF96tQ5opBELCz0OHbMlYSENLy8zqtJIjByZGEGDbLExSVaDRL5Bi0tWL/eAHNzESSi\nBkyMYdk0GDwR9h0RP66cOYQ0l8WWhCvTKihBWSzBeiNUjZHFa8S0gDtN4G4beDoB3m6FhKs/kkhu\nI+2zzOU3dhHccoOokvBuB+RtBA4PwDYcN+zIh/r6+K/p0HYfvPgsI11TkZkyUlNh8CRo2xjcnFX3\nX7gWdh2EAwcMlKaIDw1NpXfvZMLCDLGxUX9ZSk+HPn0eERISx+nTtSlRQr14rMOH3+Djc4Lly6vT\nqZPiolTr1j2kW7fz7NrlQrNmyg3bsbFJ1KsXgr6+FseOeZMvn/gsEtkRH/+V1q2PcO7cK86da4Oz\ncxGVY86de4mj4yacnYsQGtoEc3PN51eF30SiAMWKmXDqVCuMjXWoUWMn9++r1lfnFqysjImMdOfm\nzQ/4+59UGKCU2S8i4jUdOlzh61f1pMvp0yvQpo0Fzs63efRIMwaYM0ePpCRprpIIyFQi0fdgixql\na4uZwKGWMDIC9qpZ8l4fHepjwyRa0Jl6EH8RLpWC+93gc5R6F/tZSI2DN5tkxHbREp7PoijmBOKL\ntgZ/5TQpdAmVpZQ52hrErjPv4qDDIFgzG/KLqPA8ajrExKSzbZsBWkrs6rt3pzJoUDKHDhmqHWeS\nifHjn7Ngwd/s3OmItbV6RZ0uXnxHvXpHGD/ejuHDKyrsd/jwSzw8jjNvniMDBpRTes2kpDRatTrO\niRMvOXfOjwoVNEtLn4mgoBt06HCQ7dsb0bOngpz+WfD6dSING+7g2rU3REUF4OBQMEfzK8J/hEgE\nQWghCMItQRDSBEGomuX5koIgJAmCcCXjWJzlNQdBEG4IgnBPEIT5P/P+atcuzPnzbdi2LYbWrY+o\njDTNTVSvno8zZ9xZtOguAwdGKfQIc3Aw5/RpN+bNu8OoUVfV8q4SBJgxowIuLhbUrXub2FjNXKuG\nDNGlXj1tBg1KJlmJSUaVp092+LnJPH4GTRQ/Jr8hHG4Fcy/Bupvix2kjwYsqzCSAChRmM2cYxVZ4\nOf8/H4SoDOnJEBfCGiIIZLPGsSRSZDEixx/Dibay7MliEB4J63bIghDFBMN165bMmzdSJk1SnhJ9\n69ZURo9OYe5cPYoW1Syh4MKFj5g37yHHjtWkTBn1yOTu3Xhq1z5MQIAVc+YoDvS7ejWO2rUP06NH\nWWbPrq70M5BKYezYKCZMuMyJEz64uamWJpTh6NEn1K69jf797Vm82BUdHeXLeFqalOHDTzFkyEnC\nwprQtauCTJs5wH9KIrkBNAFOynntvlQqtc84+mR5fgnQVSqVlgXKCoKgIIY2Z+jWzY7Nm70JCAhj\n9ux/dyfq7V2MtWtr0rXrWRYtuquwn4tLASZPrkzv3hdZskTNrTewaJEd5csb4+Z2lrg4zRwSmjfX\nZsAAXXx8EolXoq6VFSsyokIFcT+1/BawdKos3cZncWVkMNWVqWeC78D8S+LGAOigRT88KUE+xrKd\nxRwhmh+D1P4XMCICtt+BIFfxY8bPAfM80L+L6r6pqTBkSDKtW+vQpInyncW6dV85cSKNffusMTLS\nbInauPE548fHcOxYTays1Cu7+OJFEi4uR3B0tGDDhloKF+onTxKoXfswDg752Lq1AXp6yt2YN2y4\nT7NmR1m/vi69eqmXqy47Hjz4QI0aWyhSxJgjR5qTL59qVd6uXfdwdt7G4MEOrFjhpvJ+1cF/hEik\nUukdqVSqeKXMBkEQCgEmUqk0M/PPesA/N+9JIhGYNcuFYcMccXXdQXi4Gn6muYA2bUqzerULnTpF\nEham2OvEzc2S7dudmT79Nvv2qZ8BdPbsijg4mBEQcIXPnzUjkZo1jVm8WB9f30SePVMuCi1apE9U\nVBrR0eJ2zMunwfqdcDp7jicF0BJgXzOIfA7jT4sbA7L8WoPwJoEUlnOMD4hkrV8YU86CtTm0ErnG\npaZC2/4wuq/idPJZERcHLVsmsnSpPqVLKxdjZs78wuXLCWzaVEbjAlerVz9lypR7HD9eU22byYcP\nX3B3P46xsTa7d7tgaCh/0f3w4QseHgeRSuHIES/y5lUucZ0+/Yratffzxx8VGTMmZ6lN4uO/4O+/\nl9Onn3PxYlsqV86vckxMTBxOTpsxMdFl+XIPihTJnVr2Kr8iQRCOC4Lgk+255bkyu3xYZai1TgiC\nUCfjuSLIPPQz8TzjuVyBkZEOu3f7YW9fgBo1tnD//r+r0ujduwIzZjjh6hrK+fOKQ7Z9fIqwcWNt\nmjY9SXi4+rnCJk4sR4MG+fD0PC/HF14cSpfWY+fOsnTokMy1a8rJoUMHHZyctOjbV5wrcqcWsoJJ\n42aLv5+hTnDnPfQ/Kn6MAboMxoc3fGIFx0XHlvzqSJPCH0dgVn0QW6bi7ycw4E/YsgCMRGz8L11K\nZ+LEFLZvN0RPReG/3r0fYWamxbRpmkdrL1v2mNmzH3D8eE2KFlXP2JycnEazZqe4efMDoaH1FUaZ\np6Sk0abNcc6de82qVc4UKqT8g3j4MB5n5/24uxdnwwbVqillkEphzJgzDB9+igMH/PH1tVI5JiHh\nK61bh3Dz5lvOn29P9eqFNJ4/E2LegRUwXBCE8Vmeq6ZqkCAIRzJsGtkPJckTeAEUk0ql9sBgYLMg\nCBqEiB4BDmUc95X2LFrUmNOnW/HqVSKenruIixMbfyEfLi6FkIgNGwZGj67CkCF2uLgc4NYt+TEi\nIAtIXLWqOo0ancjidigeI0aUoVmzQri7nyMuTjObiLm5NqGh5Rg//hkHDyonovLlJcyapUfLlkkk\ninBuKlEUZoyC9gMRXbPCVBeGOMHci8rzQGWFEXoMpRHPeM9aInI92aFSaOuqV+HpP4DI53D0EYxT\nEpWeHVv2wuGTMKibuP6LFn3l7t105s9XvrB//SqlWbN7NG6cl65dVe+2FWHhwkcsXPiI48drUriw\nemSSliZl5Mir3L0bT1hYfYyN5ZOJVAqBgRe4cOENJ0/6ULy48p2+TOLZj4mJLvv2ealMhaIKwcF3\n8fXdw+LFDRk0qKrqAcDMmVuoX78rzs7R2NkpinURB5VxJIIgXEFGHEFAMaA9EJ6x2OdsckEIB4ZI\npVK5ZXEyXwdeAselUmmFjOfbAHWlUukPubDViSOpVs2S3bv9mDMnijlzFNlDxMeD9O5tx8iRDtSu\nvYOnT5UTkiDArFm1aNiwKB4eB4iNzVxtfxTBW7e2Ys6canh7H+XqVUWpPRTHZ/TvX5p+/Urj4nKS\nly+z35e4uA49PQlHjthz5sxHRo68jzKB0MBA4Pz5ksyb957Vq7N7u5WRO2b1agnR0TBzpgIpp8KP\n38O4PlC6GHQcqeTGs1jS8hnBkV5w7B4MVeUNdkPF63JgYgiNHcCmJJQqAhZmYGGa0ZrBk1dgVQie\nv5GdZz3OP4TrCsrWKoWd6i5aEtjQFroFQ2ImSR9U3L+ABdzcC3U7QvSDbC9Gy9+E5M8Pt29r4+SU\nyt9y49++39CZmEi4eLEkkya9ZdMmRcGKsniOsmUNOXXKgTZtbhIerniz9Q3yrxcYaE3nziWoV+8k\nr17JczFUHDQpCLBkSU1sbfPg5XWU+Pisn8P3bvP9+tkxZEhlGjbcr8LbMxUtLYHlyxtgY2OOj89+\n3r0Ts5FVvBEsVsyEkJAmREQ8Y+DAcBXpkWSbwYoVLdi7tylly5r/vIBEQRCuZJKGIAidkC3seaVS\nqXrZ0uRfOxwYKpVKozIe5wPipFJpmiAIpZAZ422lUukHQRDOA/2BC0AIECSVSn/4O4glkmbNyrJ4\nsSvduh1m/35l/2BxRDJqlCOdO1fAzW0vjx59Ujq/lpbAihX1KFcuDz4+IXz4kHUL/j2RdOxYhilT\nquLufphbt5Sp3OQTQvfuJRk1qhx1657kyRN5cSLiiCQoyBqJRKBfv5gMDzHFRLJsmSVGRhLatZNn\nuP6RSDw8BObM0aJSpVTSFJltshFJXjO4Gwo12sADZfEiWYhkZSt4HQ+jQpX0z4RIItHXBZ/q0Loe\nuDlAxGU4dB7efoR3H+Hdp4z2IyQmy/oXLQDFC0Jxy4y2IJQqBnlNYN4u2BIuix4XBRFEArCrMxy9\nC4vPZDyhhEgA+gZAE1dwzW5IV0AkAGPGSKhYUaBtW3lf4o+aATs7PY4dK07duo+JjpYnhn4LDKxX\nLy9bt9ri4hLF3buqRFzFhDB6dDlsbU3p3fsqHz5kfy/KUwoJAixaVIPKlc3x9DyShUx+/F917VqB\nCRMccXc/wO3bisjvm1Q/dWotGje2wsNjL0+fqirXoPzHYWqqy44dviQnp9KmTSgJCYr6f5vf3Fyf\n9+8H/FQi6SmVSpdleewA/CGVSkX4aii8ZhNkEk4+4CNwRSqVegmC0AyYgOyTSgfGSaXSkCzzrkW2\n0oZKpdL+Cq6tkkgGD3bA1bU4o0ad5to1VWoi1UQyc2Zt3N2L4+GxN4tkIX9+bW0JM2fWoHz5vDRr\ndkhObflvRNKuXSmmTHHAze0wMTGq4lh+JAR//0LMnVuJhg1P8+CBImOyaiLp2LEQw4eXpFq1C1lq\nnsgnktatTfnzz3w4Oj7i82d50sWPRHLhghYzZqSzY4eS32I2IpnUHyzzQfdxKm4+g0is80N4Hyg6\nEXGu0tmIJH8ecLYFV3sokg/aToVhLWBAE7h0F7aegF2n4YOGZW4EY3B3gEHNoJIVLDkASw/AG1Xm\nOpFEUrOkTCqxngrpUlQSiZYWRG2HKcshOGtfJURiaAj37mnj55dGVFT2D1m+irlzZzMaNzahVavn\ncioffh9h3qVLYdq0KUjz5jf4+FGZalU5IcyZY4e9fR48PM5kizYXl6Z64cLqVK1qgafnET59+oqi\nyPY2bcoye3ZNfHxCuXJFXpbu79/DwIFVGDSoCl5e+7h9W1lSUdW7DG1tCcuWNaRy5fw0arSH2Fh5\n///fKVIUQhmRCALMnOmCp2dJPD138eyZmEJNiolEIhFYtqz+P2Lp90kcf5xfW1vCli0N0dXVokWL\nQ3JSJkAmkbRvX5rx4yvj4XGYBw/E3Of3hODiko/t251o0OAUt24pS6egnEhsbIwID3egfv0obt3K\n+mP8kUiKFtVm2bJCjBr1mmvXFEUnfk8kfn4CEydqYW+fqnyBz0IkFnkgJhSqNocnGUJPpXJQtgTs\nzJ6iJINIRrpCYTPot0vJHFmRhUhCJ0MDe0j+AqaG8PgVRN2DhBQIXA6vsm44NXX+yhLuULGEjKCK\n5od+C+GhstRRIokE4Ew/mBMBO6+jkkgAaleFyQPArVuWvFpKiASgRw8JLVsKNGyYXSpRbKvcsaMI\nt26lMH589sX2x1QlQUHWFCyoR6tWykRG1ZJFcHB1vnxJp127i1l+d+LrHQQFVcfJKR8eHkf4+FHx\nJs/f34ply+ri7x/G2bPZdxk/kmFAQDlmz66Dn99+LlxQlHxSvI1z9OjqdOtmi4/PHm7fzu7I8ztF\nitrQ1dVi40ZvnJwscXYOFkkiyq4nYds2T4oXN8HNba+KTMAyEtm8uSH6+spIRAZ//+JMn+6Ar+8x\nkSTyPaytjQkOdqJt24sqSEQ5jIy02L69EkOH3stGIvIRFGTJuXNJSkjkewgCTJyoxbhxaWoFVAZ2\nhW1h30gEwKcu1KiseEzzyrDjmvg5smL9UUhNAzMj2T1/SICCeaH7nGwkkku4/Rh6zoNTN2CemCTE\nIjHzBAyrL77/mctgZAA1VAdQ/4NVq9IpUkTAw0P8etS//yt6985LhQqqXcWGDbtPuXKGdOtWWPxN\nZYNUCu3bX6RECUOmTLHR6Br9+5/n7Nk3LF1aAxMTxZvNPXv+pkOHY+zd60WdOpYqr7tpUwwdOx5h\nyxZPnJ01f4+ZmDz5PGPGRBIe3gIXlxxbIxTif4JITEx0CQnxx8BAG3f3nHtmGRpqs29fIwQBfH33\nK9FByqClJbBxoyuGhto0a6acRNzcCrNsWU18fI4SHa1+Wpb8+fUIDa3FiBG3OHZMfe+urFi2rDxn\nz35k/XrV2VR9fY2pWFGX6dPFV5xq1kzgyxcp+/aJZxFTE2jSUKZyyYqqFeDybfljrMyhiBmc0sSY\nDWwNl9kuEpJkUklhC2g6QQ07hoaYsxOsi8psMLmBfTfBWA9sVa9n/+BwJLjXFt8/LQ1Gjkxj+nQt\n0fEfL16kMmHCW5YtK6TSqS0lJZ1WrW4wZUoZKlZUL2o9K5KT0/HzO0uTJoXp00dxbi1lGDToAm/f\nJrNnj5fS4L5Dh57SrNkhtm51o04d1a62hw49oVu34+zY4UX9+jlf/DdtiqZFi/2sWeNO8+Zlc3w9\nefjliaRgQUMiIlpy794HmjffT3JyztKdGBnpsHOnN7duvadVq4NKSQFkJLJhgyumproqSaRWLUs2\nbXKhadNwrlxRv/CSvr6EvXtrsGXLM9auzVmCye7di1Cpkgl9+95R2dfQUCAoqCC9e8fy5Ys4UpBI\nYMIELcaOVS+1h0dtuPMQnmfTEjjYQJSCyqTNKsPuGxm2AQ0xZg1EXJcZyztMF2G7yAV8+Qr9FsH8\nPrJ5c4p0KVx4DE4lxI85fAbc1XAFBtizR0pCgpSAAPFSyZIlcejoCHTtqjoXVUxMIsOG3SM42A4D\nA82XsPfvv+DldYbRo8vh66tZLMWAARd5/TqRLVsaKi0mderUSzp1CmfnTg+qVSugsF8mwsOf0bx5\nGFu3euDmlvOqhydPPqdp0/3Mm1efHj3U0IeKxC9NJGXL5iEysjU7d96jT59jOa5kaGSkQ2ioL8+f\nf2bo0NMqKw9KJALr1jXA3FyPJk0OkqKk8IO9fT527fIgIOAkZ86oWQIQmcplw4Zq/P13ImPHKtia\ni0TlysZMnlyaFi2uk5SkeqEfPz4/p04lER4uPhtumzYC799LOXRIve+ktj2czuYsntdMZje5p4A7\nm1fSXK2VFS3+ki3u19Woi5JTHImCZSEy1+LcQFIqqJMZ4+xVKF8KzM3Um2f48HRatJCIlkrS06FH\nj5dMnpyfggVV3+C6dS+5ciWeefPUqC8gB3//nUjjxudYudIeJ6d8ao9PT5fSocNxDA21Wb68rtK+\nR48+o0uXcPbv96JKFdVznTr1giZNQtm40R0vLzXYXwGuXXuDi8s2AgOrMXKkU46vlxW/LJFUrVqA\nZcsaMnnyBSZPPp/j6xkZ6RAS4su9ex/o3v24Sp2+RCKwdm19ChQwwN9fOYmUL5+HkBBvevU6yZEj\nmuV6mjbNloIF9ejcOWf5wYyMtJg+vSwDBsQQE6OaGGxt9ejUyYyhQ8W7KwkCtG0rUVsaARmRnLny\n/XNVK8LVO/K9sQRBFqwYkT0eQgMkJkPYRZn31r+JD59l8Si5geSvoK9GqZwvX+HkJXCtqd48p09L\nKVQIPD3FSyU3bqSwevUH5s4Vl6G2d+87NGhgTsuWOctoe+lSHF26XGb8+CoUL66+uuzr13SaNj1E\nhQp5mT69htK+ISGP6dPnFKGh3lSsaK7y2pGRL/HzO8CaNQ1p1Kik2veWHQ8ffqROnW20bl2O2bPr\n51p87C9JJLVrFyEsrCnz5l1m9Wo1UsEqQCaJPHjwURSJAAQF1UYqhcaND5KcrJhEihUzYts2NwID\nz7Fnj2Zb3bZtrWjcuBD+/udUqtpUYfr0Mrx4kcKWLaqJQRBg6VJLxo59w+vX4vN2ubsLFCgAJ06o\nJ40YGkCFUj+qsKpWUKzWkkplNgF1Fk9l2BsJXtXQOP+TuvBwhD87wKdcSgWWnCorm6sODmmg3gJY\nuDCdP/5Q74OaOPEtTk4GeHioXtA/f06jdesbLFxYDisr9XJpZUdISCxHj75g9+4G6Ourn8wwMTEV\nH59QvL1LEBhYRWnfXbseMmTIWQ4dakyZMqpFvfPnX+Hjs5+VK13x99fMnpMVsbEJ1K0bTPXqhViz\nxhtt7Zz/mH9JItm1y5+AgFD27dPQupoFhoba/5BIt27HRJHI1Km1cHQsQJ8+J0lKUmyTMTPTJSys\nEcuW3c5Sj1k91KiRn7lznWjUKJL379WrCpcd9evnxc8vP4MGibuXrl3zIJHAihXqGQx69pSwbJn6\nhOdkB9fvQnI2pzAHG8WGdoC4RMibs3XmH2w9IYsj2TwSdHKrCKcCWFnCukBo9Re8EO/DoBTJqeqT\n6uEz6hncM7Ftm5Rq1QRKlxY/JilJSp8+L+nRIw+6uqq3y1FR8Ywd+4AFC6xzvLueO/c20dEfWL5c\nA9YE4uJS8PA4QK9eNnTrpjzz5ZYt9xg37hxHj/pTsqRqcTMq6jWennuZP98FHx/V+bRU4cOHFNzd\nt5M/vwE7d/qjr+7uIht+SSJp2nQPR49qWB4vCwwNtQkN9VOLRIYMsadxYyt8fEKV1jHR0ZGwa5cn\nR448Y/FiBdtpFShY0IDg4Hp06XKG+/dztmU1NtZi1aqK9OgRrSLYSwZTUwkBAab07h2rlutu4cJQ\nt67Ali3q26vkqbVA5qJ6RUlV1rgkyJtbNoYU8B0LBnqwcxzo5ZKkkxWCAC3rylx/J26E0zkXqv9B\n8lf1JZK7j2SSXXk1N8PJybB6dTq9e6u3zBw+nIienoRevcR5LC1f/pw8eXTo3TvnHk7du0dia5uH\nAQMUF7ZShhcvEnB3P0D//nZ4exdX2nfNmmhmzLjMzp1eFCqkWgK7evUtvr77WbXKHW/vnJNJYuJX\nGjfezcePKSxe7Jaja/2SRHLmjOKay2JhYKDN7t3qkUjHjuXp168S7u57VebMWbmyHh8/pjBkSKRG\n96etLRAcXJfVq+8REqJ+OvnsmDGjLMePv+fgQXFb32HDLHj48KvomJFMdO0qYdu2dBI04L1a9hAp\nh0hsy8JnJeacuKTck0gAUr5CswmQkAwhk6GQiCqBYtG4FlxdCoObwYK9sFiNCpFiIJXCSw1Ciw6e\nhkoa2LWXLk2nY0cJBgbqiQsjRrxm1KiSmJqqVjNJpdC1620mTChFiRI5KyeblJRGkybhjBhhR716\navhJZ8H9+x/p3Pk4a9c2oGpV5Ub1xYtvsGlTDAcP+mFmpto17/r1dzRuvI81azyoXz8janbQAAAg\nAElEQVTn3lypqel07BjC1685U4n/kkSSU8ikBT9u3HgrmkT8/KyYNq0WHh77VAY7/vlnNcqVy0NA\ngOaeZDNmOPL5cyoTJuQsayeAq6s5Pj75GDxYnErL0lKX3r3zMH68enEqEgl066aZWksQoGZl+RJJ\nyhfQV5KSPC4x9ySSTKSmQcA02HcWbq2ADcPBMQcORJ7V4MJCGN8eRq2GGv3hqNxUpjlD9RIQKz6A\n+x/EfZTlA1MXjx5BZKSUtm3Vc/u6eTOF0NB3BAaWFNU/JiaRWbMes3x5zgpGATx+/JmAgJNs2VJX\nI+M7QFTUW3r0iGDvXi+KFlV+jTlzrnLixHP27PERVWzq/PmXtGx5gG3bfKhZM+cp4KVS6NXrUI6u\n8ZtIskEiEdi0yZukpFSGDz8likRcXAqzcqUrvr4HiIlRHurcqVM52rUri69vmFL7iTK0bm2Fn18x\n2rU7qZZaSR5MTLRYubIC3bvf5tMncQbzceNKsWbNR549U+/+vbyMefFCyjUNXHGLF4YzV+G1HIEp\n5QvoKdnMxSVBnpxtVOUiPR2CdkOpDnD1AewYB6eXQosGKK1NnhX1HWRjZvWA6dvAoQ+E5NzJUCGq\nFoXLGgiwT2OhuIZr1qJF6fzxR161x40b94BevYpQuLCKwiUZmDXrCRYWOnTunHNX2ePHXzJjxg2N\nje8gi2qfP/8G+/d7Y2ysXAc6aNApXr9OYsMGN1FlKCIintGhw0H27GmMvb3quBRVyOk68j+Va0sM\nVq50p3hxExo12sOXL2moStpYpUo+Dh1qTJs2hzh+POs/9Mf5XV2LsGlTQ+rW3UtMjCIDtXIdjK1t\nHo4f96Rhw0Ncv56VtDTzD1261AmJRKBHDyVGhiwoW9aQyEhHypV7xPv36lVY3LevKLt2GbB2rfq/\nOZf2Ovw1AFza//ja+a3QbwpcuC5noCcMqQdp6TBPXmFnRdAgjbyWRJZGfkBLmcRiaigLApRmHNnP\n33yASqXhz1Ww9ayMmNSGGrFleQzgyVgwGw3SMPWmaVQPerWCRvXUD+cXBAgLS2H06DdERamTVeI5\nU/+PvfOOiupa3//n0EG6igiCIBasYMWOV8UWDWrsxoLGEk3s8dqNiYq9xl6isV6NPfbEgh0VrKAC\nggUVVHqTNr8/Ru6XS6bsM4Np/p61Zi2d2fucw8w5+91ve57AipQsaSx8f9aqZcnp0954e59RIZmg\nDb931bZvb8br1+8YO1aTZKdq0sYCrF/vS9myFvj7nygSgfjfjZipqSHHj3/KvXtvGTVK0836f79B\nly4VWb26Fa1a/ayCS0sbio9r6wPXnfy9sHixL9Wq2ePnt++9EdEMV1crlixpxpdfnitiRH4PT09b\ntm9vTffupzQYEc2wsTFh//6WjB0bXMSI6AZf31I4OprQr594sn/OHA8WL34q24g4OxvRuLE5PXvq\ntnEp5wjPX6n+7F2O5qT3k0ToV1emIdEBefmw/5zy5VwaypYCCWVIT5KK/FuC5DS4H62kFUF3tg9h\n1HaGWy90230+fam7R6JQQFBQBgMH2sg0JDBvXgyPHjVm6dKnhIdrT6zduZPG2rXRrFnjTefOV3W7\n4EIYMuQyFy+2Z+DAimzZolkkTx1GjLjA8eOfsHhxY8aOvaR23Lt3eXTufJSgoM/497/rMn++9p6w\nAwcisbAw5uTJrrRosZeoqD9W3bUA/z+09R7TpvnQurUrHToc0MqdBUrO/6NHO3H4cDT792vudrO3\nN+WXXzowevRFLlzQzlulDmvXNmL79ih27NC/rNnYWGLNGm9+/PElqaliRqF+fWsaN7Zh+XL5FXH9\n+tmweXMSmZo3b2rh7ACxahr+tYW2LkVDYzfdzqsrYl/DjXC4Hg7X7sPVe3DlHly6Axdvw4VbcCcS\n9forHwC6hrVAP0MCsGtXCj16WGMkc+uanJzLvHkxBAaqFkRThTlzHuLhUYIuXfQnPczMzKNfv4ss\nWFAPT0+Z7f3vkZubT7duJ2nb1oURIzSTRKakZNO+/WGGD69B//6eQsffsSOc7767ypIlvjg5FY8G\nu1z8f48E+Oorb/r3r0azZv8hKUl7FZKRkQF797bn/PlYli3TnOw2NJT4z3/asH9/NHv2iLRXq847\nfPFFFTw9rRk48BygavWRt0KPHVuNqKhUDh0Sb/meN68Ws2aFkZmZhNw9SM+eLowZEwnoRiTpbFyB\nmDsKUCGAlPXWHLP4HAhX8d2FW/MSSB0AVY7Bw4c6nV4GdGVy1LGOWIZWfZ16cHIf8BPIoUwHUP7i\nVlhbPyYlRX4MLjo6jqio0rRuncOJE6I8csprXLUqjJYtfWjQwJDgYO2eeHZ2JoMHX2H//ub8+usT\nUlNFc3mqx4WFvWHKlOvs3t0cH5/DGlkq1CE5OZtPPjnKuXP+hIcncvasegaLly/TadfuMGfPduHZ\ns1TOntVehbphw13s7Mw4frwLzZvvITlZXjWlvvjoPZJu3SrzzTf18PPbR1ycGFfUqlW+5ObmM3q0\n9ljJwoWNyMvLZ9Ik3d1sT09b5s6tR+/eZ3W6iYvCxcWCb76pyqhRN4Tn+PqWIiEhh82b5ZNBVq5s\njoODMRcu6O52lytnwPPnqhewd+/AVEs+9tIlaKJDU90/CXXqQIgelWBPn+bj4qJ748zOnfH06SM/\nMZydnc+RI6+YMUO8Iis4+C0nT75kxoziISjcuPEhDx8ms2iR7hxV0dGp9Op1mt272+DhoTmn+fBh\nIl27HmX37nZCVCoACxZc5+zZZxw8+KlQ9Vdx4qM2JG3alGfFiha0bbufJ0/EdmgTJtTGx8eRnj1P\naCVt7NevMh07lqdXr9M6l/mamhqya9e/mDr1Bg8eFE/8c9myuixf/pDoaHGtk6lTq3D06Cutf7Mq\n9OzpwM8/v9Ytmfwezs4SsbGqz/3mjQI7O805wkuXoLFuDcv/CFhZQdmyEC6Ws1aJiIh8nJ11X6D2\n7ImnU6dSOjH2btnyBC8vG2rX1s4OXIBJk0IZMKACVasWD1HZ0KEX6dDBBX9/3avCrlyJY9as6+zf\n3w4LC80BoatX4xg37iJHjnSkVCmxssOxY88RF5fBtm3thaq/igsfrSHx9i7N9u3t6d79Fx48EHO1\nP/vMg1GjvPjkk8OkpWkOYdSv78DixY3p3PlEEU12eZg3rz5RUSls2FA8MZn27Z2oWdOWhQvFGYLr\n1bOjShUrduzQjS2gRw8H/vMf+YzGhVGunAGxsaotUUKCAgcHzQ/N5csft0fSooXyO9AnJ5OcrKBs\nWd09kvj4HK5eTaFTJ/kdnNnZ+Sxa9IipU6sIz3n9+h3ffXeXlSvryz6fKiQnZ9Onz1nWrWuKi4vu\n1RGrV98nJOQ1mza10jp2x46H7Nr1iP37P8HERPtyrVBA//4nKFXKnOXLZaiY6YmP0pC4uFhx5Ehn\nRoz4jUuXxNh2GzQow+rVLfj001+IjdVcPeLoaMG+fW354otzhIXpXl3Vvn05unZ1Y8iQizofozDM\nzAxZubIeI0de5907cfdg8uTKLFoUQU6OfG+kWjULbG2NuHJFhy649zA0BAcHiZcvVZ8/Lk5BmTKa\nDcm9e+DoCCWLsQv974ROneBUURlimUhKUmBrq9+SsXNnHH376sbWu2FDDE2alKRaNSvhOWvWRFC6\ntCndummmKxHFtWuvWbLkLjt2/Euj/og2fPllEJUq2TJuXG2tY6dPv0pcXAbr1rUUOnZ2dh6dOx+i\nWTPnYqeLV4ePzpDY2ppy/HgXFi++yc8/RwjNKVfOkunT6zNo0G/culVUV/p/YWxswL59HdiwIYzD\nh2N0vk5HR3M2bWrO55+f0yrjC9CtmystW2p+QCdNqkZISAKnT6upo1WBqlWtaNKkJBs3xgjPKYye\nPR3Ysyder4YnGxtDIiLy/083vAji4vIpU0bzrZyfD9euQdOmul/H3xWSBB07wmE96VYSE8HOTr/Y\n+8GDb/D1tcXOTn6dT0ZGHsuXRzJ5srhXkpen4KuvbrB4cR0sLIonb7Bw4R0ePEhi/Hjd8y9ZWXl0\n7XqMb76prVUFUaGAAQNOU7NmSSZOrCN0fGX1136GDKnJwIG6yQnLwUdlSExMDDlw4FNOnXrCsmVi\nWUczM0MOHOjA+fOxHD0ao3X84sVNuXEjjtmz9dMF+fbbOmzY8IALF7Qv+vb2pqxcWY/ERPUhNBcX\nC1q0KMPYsfKua9KkyqxYEUVmpm4xkZ499Q9rWVsbUKKE+t2fiEcCcOiQckH92FCvntIIPNazalzp\nkei3GKem5nHgwGvatxdLIBfFqlWPadeuDB4e4qGlCxfiCQqKZ+rU4hGSUShg1qwQxo+viZeXbn8H\nwNOnqfTpc4odO9rg4qK5bDcjI5dPP/2Fr7/2wt9fjE5ZWf21n5EjvfHzKx6PTB0+GkMiSbBlS1ve\nvMlk/PjzwvPWrv0XERHJLFqkguSpCLp1q0iHDm7MmHFNrx344MFVqFevNN9/r/2cAHPn1mPv3qeE\nhqoPo82aVYuLF18TGyteJly+vAWffOLIqlW6rUBVq1rw6FEGwcE6sAQWgpWVAamp6r9QUUNy5Ah0\n6QImxSBb+3fCp5/q740AJCYqsLPTf8m4ciWFdu10W4BTU3NZteoxkyaJeyUAEyeG0rNnedzdi6fz\nMzY2g2++CWbrVl+MjXX/Ts6efc6iRaHs399Ba6XVixfpdO58lA0b/KhVS0zN8dGjREaNOsP27R2o\nXv3DxXU/GkMyY0ZDXFys6NfvhPAi//XXtfHyKsUXX/ymdayHhw2rVvnSo8dxkpN1T667uJQgMLAe\nAweeJzdX+4U2aFCaTp1cmT5dPYFVjRq2dOjgxIIF8iR4v/mmEhs2xJCcrFtvRPv29jx/rn89u6Wl\nAWlp2gyJ9lv5+XO4fx/atdP7kv5W6NRJaUT1RXF4JAAnTybStq29zvohK1ZEUaWKJWXLihOovXyZ\nycaNkcyZo1l0Sg5++imCp0/TmTatrl7HWbIklIsXX7B0aTOtY2/ejOeLL06xf/+n2NuL/f1Xrrxk\n7NhzHDnSmdKli5EGuxA+CkMycGB1OnasgL//IbKyxJqTWrRwYcqUBnTpcoyMDM1zTE0N2bOnHbNm\nBRMSolvDXQHWr2/K8uX3uXdPe5LewEBi9eom/Pvf1zUu9oGB3gQG3iclRdwglCxpgodHCZYt040W\nAsDPz57Tp/WnclF6JOo/T0hQYGUFxgIFRTt3Qu/eel/S3waursqy36v6s4W890j0NyRPnmSRkJCL\nt7duXdgJCdncuZPM8OHyNDlWrHhIixZl8PaWTyCpDkOHXmDYsGrUrVtar+PMmHENPz8XunXT3sF/\n+PBj9u+PZOfODsIlvjt3PmDbtnAOHvT/ID0m/3hD0qSJE/PnN+Pzz4+TkCDG8+PqasWuXR3o2/cY\nMTHaq40WL25KZGQyq1frwPRXCAEBnjg4mDN/vhg97vDhnqSl5bB9u/rFvnlzB6pXt2HNGrHCgv+7\nlvK8evWOuDjdPAoTE4kmTaw5e1b/3hdLS82hLYUCgoPzhMJbP/8M7dtDiT+A2+qvgE6d4NgxHQkh\ni6A4qrYKcPJkgs7hLYDVqx8zZIg7xsbibk1GRh5z5txjzhwvnc9bFK9eZTJ27GW2bm0pVJ6rDqmp\nOfTqdZJVq3yFFBMnT76AsbEBs2Y1Ej7HzJmXefo0hc2b2+p8nerwjzYk5ctbs3dvRz7//LhWevcC\nFAhazZ9/nTNnnmkd36NHJdq2dWXIkDN6Xauzcwnmz2/IwIFBQiEtBwdzvv22DiNGqCeBA5g/vzbT\npt2WpeUuSTBsmDtr1uienW3c2IawsAySknSjyi8MKyvNoS1Q9kdUqqT9dn77Fi5eBH9/vS/rb4FG\njeA//ymeYyUlKXj5Uv/fE5SGpG1b3Q1JWFgq4eEpdO3qLGve+vWReHpa06yZ/tTrBdi1K4IHD5L4\n9lv9+lVu3ownMPAmu3e31Zp3yctT0KvXUfr3r8ann4prGQcEnKJCBRtmzGio17UWxT/WkFhaGnPk\nSGcCA69z+rQ4rcfMmY0IC0sQquqqWNGGlSub06PHCVJS9NNLX7/el5Ur73L3rlhz5MKFDfjxxwjC\nwtTv+Lt2dcHMzIBdu2JkXYufnwPJyTlCvEbqj2GnNqzl6WnClCniiT+lR6J5TFhYPtWqid3OO3dC\nnz7Cp//bon59Zbnz6dPFc7zcXKhRQ0wbRBvOn0+iTh1LrKx0D7OsWvWYkSPl6f/m5OQzc+ZdAgOL\nL1cCyr6QgABP6tXTL8S1bNkt4uMzmTNHu6fx+nUm3bv/woYNflSqJNbxn5WVS+fOhwgIqE6vXvqL\ngBXgH2lICsSprlx5wcqVYpVPAEOG1KR9ezeGDtX+5JmYGPDttz7MnHmN0FD98iIDBlTByakEgYFi\n19qwoQN2dqZ89516Y2dkJDF3rjf//vct2RVkI0ZUYM2aaHmTiqB1aztOn1ZtFOvWNaNmTfEFydQU\nUlI0/xH37+dRvbrYonTokHKB/ac3J44bB8uXi3WzGxrC0aPmGGhYEXRNjqtCRkY+V6+m0LKl7vmK\nQ4de4u5egpo15VGg7NwZg7W1MR07yvNmNOH160y+/DKITZv+hZGRfstqQMCv9OxZiXbttFOxBAe/\nYvr0S+zf/yklSoixDsTFZfDpp4cIDGxO3bq6yQkXxZ9iSCRJWihJUrgkSbclSdovSZJNoc8mS5IU\nIUnSA0mS2hR6v64kSXfff7Zc0/HnzGmGtbUJX30lHm7y8irNnDlN6N79FyHlwu+/b4iFhRFr194T\nPocqODiY06OHBwEBZ8nNFQs/LVrkw7590aSnq7/OPn3cCAqK49QpebT1Li7mNG1akl27tIf11MHO\nzghPTwu13eyVK5vw6JG4B2dubqA1xi/HI0lPhzVr4PPPhS/hbwdXV/Dzg40bxcZXrmxAxYrav+fi\n1ME7fPgttWvrTnuel6dg3bpoRo4UD+0A5OcrmDr1FnPmeBWrcTx4MJoXL9IZO7aWXsd5+zaLvn1P\n8eOPrXBy0p7MW7/+LsHBr9i40U/4HHfvvmHkyNMcPNgFR0f9E4Z/lkdyCqiuUCi8gEfAZABJkqoB\nPYFqQDtgtST996deAwxWKBSVgEqSJKkt4uzevQqffXZEWNDeysqEvXs7Mnr0OR490h7O8fV15vPP\nqzB0qH55EVCyA9+/n6i1Y74AXbu6YWlpxLZt6hPshoYS06fXZPv2GNnXM3SoO9u3PyMjQ3dSppYt\n7bh4MVktpUrlyiY8fChuSHJz0apjIceQAOzYAZMmgUUxa7n/VTBqFPz4I1pDggXw9jbg1q1iyMjL\nwNWrKXTuLNYPoQ4bNkTTo4czNjbyOMCOHIklNTWXrl11EKLXgBEjgpg40Zvy5cVpXFTh4sUXrFx5\nh5kzGwgZu5Ejz6BQwIgR4kbs2LHHrF9/m59/9terFwb+JEOiUChOKxSKgrv2GlDAEeAP7FIoFDkK\nhSIGiAR8JEkqC1gpFIoCvcufgM7qjt+p037hCi2ADRv8OHPmGbt2PdA61sbGhK1bW/PFF2d480au\nlOf/wtfXiRYtnJg167rQeGNjA+bNq8+ECcEa2YR79SrPixeZBAXJ6yg3NpYYPNiNtWv1C2s1aGDF\nsWPqcz1VqpjK8khycxVaDcmrVwoMDSVKlxbbYt67B+fPw8iRwpfxt4GVFQwcCCtWiM/x9jbk9m3N\nm4fi3L0D3L6dRsWK5lha6p4niYt7x4kTcfTurZlmRBVmzLjN998Xr1cSHZ3KkiV3+OEH/bl45s27\nSfXq9owapb3KLCsrl2nTLjFzZmNZGu6zZ18mPj6DFSta63Opf4kcySDg2Pt/OwGFNdyeA84q3o99\n/75KhIeLaxd/+aUXVarYMWbMOaHxP/zgy9GjMRw/Ll+XozCMjQ1YvboZo0df0hiiKoxhwzyJikrh\n11/VC90YGEhMnVqD77+XX4rcrl0Z7txJ4sED/TrRmzWz4c4d9RT1lSrJC22JGBKAsLA8WV7JrFkw\nfjxY/jmich8MX3yhJGh8JiM66e1tKOSRFGdoKydHwa1badSrp9/ufd26aNk9JQBnzsSRkpJT7F7J\nokW3cHe3pmtXeYUARZGfr6B//9NMnVqfqlW155IeP07m66/P8J//fIKlpZiHpuTxOoavr37fwQcz\nJJIknX6f0yj66lRozFQgW6FQ7Czes58GTr5/qQ8B1anjwKxZjeje/RehRsWePStRr14ZJkzQXHIr\ngvHjvXj8OIWDB8V2/9bWxkybVpuJEzV7L5995kJycg6//ipOzFiA4cMr8NNPulHFF8DYWKJWLUtC\nQlQbEicnI9LS8mWp7OXlKYsHtOH+fXnhrfBw+PVX+PprcHCAUvpFWf4SMDSE0aNh8WJ585ShrT/W\nIwFleKthQ/30QoKC3mBjY4yXl3wp3Dlz7jFlSvFwcBUgJyef4cODWLasCVZWutPuAzx+nMLUqVfY\ntq2NUBJ/z55HnDv3nLVrRTyMKOA0qalHado0QK/r/GBSuwqFQmPmR5KkgUAHoDApfyxQ2DSWQ+mJ\nxPJ/4a+C9zXoTxY99e+NhJWVCXv2fMLIkaeJjNSenyhXzpIVK5rTocMBMnUVHn8PNzdrxo/3on79\nPSqvTRUmTarD0aMx3L0bp3aMJMG0adWZPPk6cqV3y5Qxo1EjO7p1O4dqKd+iUB26qlXLlqioNNLT\nVVeyValixaNHqWj8+Yrg/3IkmmWBr14tjYeHOVDYGGqmhPjuO1OCg6swbZoBO3YkMHSofob0D5fa\nLYJevey4eNGamze1ecz/d384OhpjYFCbFy/uaJljgkJREzm/Xf361gwe7MTw4aoVta5eNefzz11Q\nfT+J3cMKBWzb9pgBA5wYN+6V8DyAX36JZPbsWrRvX5Ljx3UN6f7+Gb548RmnTj3h++/rMWbMBTXz\nxO6VDRtu4e/vxvTpdZk587LK8xXG6NGnCQ7ux8CBnmzZoqkYyOP9CxISAHTn0fmzqrbaAd8A/gqF\nonCi4TDQS5IkE0mS3IFKQLBCoXgFpEiS5PM++d4POKjPNaxZ04bt28PYu1e7YJSS8LEdy5eHcPOm\n+oVcFCtWNGfp0ltCXfMALi6WDB1ajenTNXsjnTq5kpOTz7Fj8iuuevd24+DB5zqz/BagQQN7jf0n\nlStb8PChmKRxAXJzFRgKhNHv3MmgSxfxml4TE4lx4xwoUcIQCwsD6tX7e2feS5Y0ZNGicixdKq8c\n3du7BLduadbYATAwgJAQeboymZl5NGumvsfh6tUEGjbUvTGxAD/9FE2fPm5CnmthKBQwd+4tpk7V\nrgsiFxMnXsbfvwJeXvrXmX/xxWmGDatJgwbay3UzM3Pp2fMwCxa0wNNT/+9WBH9WjmQlYAmcliQp\nVJKk1QAKhSIM2AOEAceBEQrFf6OyI4CNQAQQqVAoTuh68r59q1G7tgPz5l0TGv/ll148f57K/Pli\nSXFN8PevQKVKtixaJC6ePX68F4GBIbx4oflhnz69NrNni/fNFEb//u5s26Z5R9apkzPm5ppX9AYN\n7AgOVp9oL1vWlPBw7YtWYShzJNoXiFu30nF2NqFUKTFHe8ECZ774otR/j125cvE02/1ZWLy4HDt3\nJnDzpjxDXbNmCW7f1v6b2NgY4eEhz9g+fZqFi4t6csHnzzPJzVXg5qafEY+MTCUqKo22bZ1kz927\nN5rSpc3w9ZU3t0IFazZvVq9CmJCQxXffBfPDDy1kX1NRvHqVzldfneGnn9phbq79/g4Le8vkyUHs\n2eOPmdkHCzz9F39W1VYlhUJRXqFQ1H7/GlHos7kKhaKiQqHwVCgUJwu9f1OhUNR8/9koXc/t5mbD\n0qUt6dNHLC/i5mbNrFmNCQwM1kmvvDBMTQ0ZP742w4efFaYsqVDBmr59K7Fpk2ax7VatnIiOTuXQ\nIflFADVq2FKqlCnnzqn3tqysjNi5s4nWZGuDBnZcu6beI6lQwZw3b+SFfzIy8khL0+4p5efDpUsp\nNGsmFnOfPv0Fc+a8Ii0tj5ycfMzNDShT5sM/dB8CrVtb4etryYwZ8vqGAFq0sObiRe2ehq2tEYmJ\n8n67lJQ8FAqwtVUfurt6NYFGjfTfOW/d+pj+/eUn3fPzFcybd5upU8VEowrw5EkqjRs70rq1+kT1\n1q0PKFHCmB49Ksm+rqL4+ecIrl+PY8GCFkLjN226w717b5gxo7He59aGv0LV1h8GQ0OJbds+Yd68\na9y+LVYau2GDHwsX3hDm6tKE0aO9ePs2i/PnxWPM06bV5Ycf7mnVfZ8woSbHjj3TqaqmXz93tm+P\n0TjX17cM1669JStL/YJubW2Eq6sF9++rX5ScnU158UIeEWRmZj7u7mKU2UFBKfj6iiVdU1PzmTnz\nJa6u91i9+jWSBOvWfVgBoA8Bc3OJtWtdGTHiGenp8npBTEwkmjWz4fx5MUOiC3ea0itRn6v67bd4\nPDz0L53bs+cpbdqUxdZWvuDM9u2RVK5sK4viJC9PwfTpwcydq57OJD9fwejRQSxY0BgzM/1Zd7/+\n+gweHrbCVVbDhp2ke/cqdOwor2lTLj4qQzJ5ckOysnJZulQsRDV4cC1sbU1ZvPiG3ucuXdqcb76p\nwzffiOuvV6xoQ6dO5Vm2THMStGpVO7y9S7Jrl3ySRQMDib593di2TfPc1q0dOX1a8263Vi0bgoLe\naPTcnJxMiY2V13/z+nUOpUuLJaPPn0+meXN5VUCJiXmMGRPLyJHPaN7ckvLl/17KVzNnliU4OJ3j\nx+XlLwAaN7YmPDyDxETtBsLOzlBoXFE8fZqFq6v60FVMTAZNm+qfR0hKyubUqZf06CG/7DYnJ585\nc24yYYI8Dq6ff47CyMiALl3UL9QXLrwgODiO8eP1z8MkJb1jzZpbbNjQTihklZqazaBBx1m3ri2l\nSn0YLRL4iAxJgwZl+eqrOgwYcExo1+7sbElgYHMCAk7pHdIC+O47H7Zte0BkZGMXUZsAACAASURB\nVLLwnOnT67JixV2tQlljxtRizZpw3r2Tnyhv2bIML19mEh6ueRHy8yurtaS4bl1boqM1x9p18Uji\n47OFDcnNm+l4eJjpJMC0Zs0b5sx5xc6dbkJ9K38FeHmZExBQkjFjnmsfrAJ+fjacOiVG9a/0SORX\npT17ptmQhIWlUr26mPE3NNScK9u8OYqmTcvIur4C7N4diZ9fOcqVE6cMUShgypQrzJ7dUKM2yMSJ\nlxk71luI8kQbjhyJJCQkjpkzxUJWFy48Z/v2+6xfX/z08QX4KAyJpaUJO3Z0ZMSI07x4ob5RrjDW\nrWvLDz+EcO+eGHWJJlSvbk/Xrh589514sr5yZVvat3dl+XLNjYUlS5rRvbsHa9ZozqGoQ4cOTqxf\nr1mrxMnJnDJlzDRK+QJ4eloRHq6+mdHS0ggDA4mUFHkG7/VrcUOSm6vg2rU0mjTRrTdhyZJ4kpLy\nmDVLftL2j4aBAWzY4MrkyS+Ij9eN3t3Pz5bTp8UMiZ2dkc4eiabQ1tOnGdjYGGmlOenb14116xpo\nHHP2bBwdO7ri6Ch/952amsO2bY8YOVJeX8mJE0948yaTfv3Uy//GxKSwbt19AgOLJ18xatSvDBpU\nk9q1xYzm9OkX8fCwZcCA4u2ZKcBHYUgmTfLh3Lln7N//SGh8377VcHGxIjCwGGTlgEWLmjJ79nWS\nksR34tOn12X58jta6emHD6/G/v2Pef1aPl2LoaFEv37unDihOWTVurUjZ8680kjLAlC1qmZD4uRk\nJjusBZCamoeJiYSZmdjtev58snCepCgUChg48An9+9vTurV+HdcfEpIEa9e6EhycwebN4kwOhWFv\nb0SVKuZcuSLGZKBPjsTJSX2OS6GA8PBUqlbV/H2HhibSvLlm+o/s7HyOHn1Gly5usq8TYOXKuwwe\nXFWoMqowpky5wrff+mgUtwoMvEHr1uVo0EA3j6kw4uMzmDjxPBs3ttPqpQFkZ+fx+edHWbiwBeXL\n69cAqgr/eEPSvn0F+vSpypgx2nXXAUqXtmDu3OYEBBwXJn3UhHbtyuPubs2aNeIswZ6etrRp48KK\nFZq9ERMTA0aOrKE1h6IOzZs7Eh2dzrNnmstFW7fWHtYC7YbE2dmcFy90021R5knEHu7jxxNp0UL3\nh+X161z6949h69byODj8NWNcy5eXo3p1MyZNEi/cKIpWrWwICkpRS65ZFEqPRH5oKz4+W6MhAbHw\nVnh4MnZ2JpQtq9nb2Lcvms8+c5N7mQBERaVw9Wocn38ur8rq0qWX3L+fwNCh6nf8aWk5TJ16lbFj\ni0cLZevWe7x5k8G4cWKCWnfvvmbBgmC2bv1EWKJXFP9oQ2JjY8q6dW0YNOgE6eliD8Dixf9i69Z7\nhITo33hoaCixeHFTJky4KEwRDzB0aDXmzLlJaqrma+7VqxL37iVw756YGFZRdO3qxv792psXlYl2\nzYbE3t4EU1NDXr5U73E4OJjw7JlurAByEu4hIemULm1MzZq69yacPZvGpk1vWbDAGUvLv9ZjsnCh\nMw0blqB9+0jS0nTf7MgJawFkZeXLzm8BJCbmaq2kun8/herVNXskCgVcuPBaq7rhyZPPqVevNCVL\n6tYXtHz5HUaNkk8FP3XqFTp1ctNYnbV1aziennb4++vHw1WAYcNOMXFiAypWFNN1WbLkOpIEY8fW\nK5bzF+Cv9YQUM5Yubcnhw5GcOydGe9GihSu+vi7Mny/WqKgNAwZ4cuXKS375JUZ4jqurJf37V2Hr\nVu0d95984srSpbp5I5IEXbq4sX+/5u+mUiUrQkISiI7WnFuqWtVKK9mjg4MZSUm6dc7Hx4sbEoA9\ne97Qs6d+5FnffvuStLR8Ll+u8pep5Pruu7L4+VnRtm2kLL6yopAkcHAw5sQJ8bL25s2tiY39vSHp\n1s1BY/d6UlKuxj4SUBqSatW0e5FBQfH4+mo2JJmZeZw69Rx/f+3CUKrw229KL69VK3nCV7dvvyEr\nK4/Bg6urHVOQnJ8zR3NyXhQxMcnMmXOVpUtbCo1XEkEepWVLV6pWLT5lt3+sIenQoQK+vi78+9/n\nhcYr2Xj9GD36N2HvRRNMTQ2ZOdOHDRvuy5o3ZkwtNm9+oLVSq1690tSr58CJE7pxQzVoUJqkpOz3\nvFfq0ahRKa2eEWhPtIMy2Z6WpltS+PbtdGxtxcNMu3e/oVcv/QxJfj589dUzNm58w5UrVWjcWP+K\nG30wdaojXbva0rp1JImJ+lHZ/OtfNri6mvLokVjOysAA3N3NePz49x5lhw6lqFhRvfeXmJij1ZCI\nVm4FBcVrzZMA7NsXw2efyW9OLMCKFXcYPVq+VzJnzg2++aa2Rn2P48efkJDwjs8/Lx6p2xUrbmJm\nZkjfvtWExj95ksLhw1Fs3ty+2EJc/0hDYmtrytq1bRg06LiwUZgwoQFRUUkcPKi5gkkUw4fXIDT0\nNdeuiYfI7OxMGTCgilDOY8iQamzcGK4zrXeXLm4cOBCjdZyPTymuXdOezNWWHwFld3xqqm4LYHp6\nvqxQVWhoOvn5ULeu/vxZK1a8ZtCgJxw4UIH+/f8Y7qKiGD/e4X0BQARv3uhmjAsjIMCBLVvE9Wqc\nnU14+zaHrKzfe0H29sYkJKh/zpKTtXskT59mvGcX0Fy2fft2Ii4uFlrDVseOPaNp0zLY2OjmSW7f\nHoGRkQGurvIaJYOD43j0KInPP1dfwQUwefJlZs1qhImJ/k2K+fkKpkwJYsGCFtjYiIXz1q+/RVZW\nLqNH19X7/PAPNSRLl7bk0KFIzp8XIy90c7Nh3Lh6fP31r8VyfktLYyZNqsv06fKqvr78suZ/5Tq1\nHb97dw9+/FG7EJc6KPMjMVrH+fiU5OpV7SXQpqYG3LunuUfG0lJ3QxIenkHVqvKMwu7db+jZU3dN\n8MI4cSKFf/0rghkzyhIY6PRBKNVVoVw5Y376qTy+vpa0bBnBq1f6GxFrawM6drRnxw5xckcPD3Mi\nI1V7L/b2RhoNSU6OguzsfEqUUL9oKhTK0m1NZcKg7Ca/fPkNTZtq7kBPTc3h7NmXtGmjmy57ZmYu\nkZHJBAR4yp47Z84NJk+up7Ga6tKll9y9+4bhw/WT5S3A9euv+OWXKGbNaiI0XqGAL744wZQpDfHw\nUB+WFMU/0pA0a1aOSZPEQloAK1e2ZvHi68TEiDcLasLo0XX47bfn3L2rfSfv6mrF69df8MMPzRkz\nxotFi25rndOrV0XOnYvl1St55HwFqFbNluTkbEJDNV+fmZkhnp42hIZqT+Y3b15Ka2mvlZXuoa3w\n8Ew8PeX1BvznP0pDUlyLflhYFj4+D2jcuAT791egRIkP9/hYWRkwZ44Tt25VJSYmmz59YoiN1T/k\nCtCzpx2//ZbE27fiv0XFimZERan+fe3sjLVWcyUl5WhNuD99mqGxcbEAp069EMqnHDnyhM6ddcuT\nAGzaFE5AgKfs8M/587HEx2fQvXtFjeOmTr3E5MkNhEWotGHKlCB6965KrVpiNC9RUUnMnXuVDRva\n6f2M/CMNiZyQVufOlahQwYbFi/Vn9gWwszNj9OjazJwplrA3MJCwtDRm2LCa2NubsWpVMypX1rxD\nGDKkKhs26NaACMok/ZUr2sMaderYExaWzLt32pO65cqZa63I0scjiYjIxN3dVBZN+P37GaSk5NGw\nYfHlNt6+zaN160gSEnLZvt2NL74oiY2N/uGJAhgawvDhpXj0qDplyxrj5RXOjBkv9arOKoqAgJL8\n+KM8GWYPDzMNHokxCQmajZLSkGgLb2Xi6qp9s3D3bjLt2mn3NE6ejMXPz1nnPMDt2295/TqT1q3l\ny/jOnn2DKVPqaVyg7959w+nTTxg3rnjCS2/fZjJt2kVWrfITNgzLl9/E3NyIoUP1K0n+RxqSoCAx\nuggLC2PGjKnHiBGni6VnBOCbb+px4EAkUVFi3k1iYhaSJGFkZIChoQGNGztib68+zunlVRJHRwtO\nnpSvOVKANm2cOXVKe/9Bw4YluXZNe1jLwsIQc3NDEhI0FwgoPRLdDMm7dwpiY7OpUEGMvLEAGze+\noUOH4m3AyslRMHjwU3744TXt2lnz5EkNdu92p0MHa9l6GIXxySfW3L1bjW7dbGnfPpJBg54UmxdS\nAE9PM9zcTGVVa4HSkKjzSOzttfeXREamYWWl2eCKeiShoQl4e2v3NJ8/Tyc+Pos6dXSvTtq06QGD\nB8sPb5048YTs7Hw6ddKc8J858wp9+1alZEl597U6bNp0BxMTQ/r1U185Vhj5+QoGDz7O99/rpzH/\n1+y20hs5iCjOTZzYgNjYVC25FHH3v0yZEgwdWhNv7y2Iqp+lpORgbGxAfn4+CQnv8PM7yK1b6hfv\nIUM82bQpjPx83RYYc3MjfHxKvy+J1nwMHx87jhx5imrFuf+bW66cNc+fpwOa+bosLSE19TUgT3hJ\nCXPCw5OoWvUdjx6JFzDs3p1OeHgLVq68Q3y8nGZI7d/vb78pX3Z2xvToUY6pU13ZvLkcu3Y956ef\nnhIaqr5Ho0QJQxwdzShTxhQ3txIMGlSOsmXNmDAhhGPH5MgkywuLDBxYlW3bnpCXJ69PqmLF6kRF\nxQL/O6+gZyIzUzM7gqVlNSwsstF0jzx9mkDTpg6Fxqh+9hISMklIyMLDw5jISFXH+7/f7uTJp7Rt\nW5YbN0To9X9/vl27wgkM9KFkSSPevlUXulV9r8yefYXPPqvE4cPqGDVyiY5+y2+/RTNuXG2mTlWn\npCiO/HwFI0ee5vDhrhw6FElysqa+H+V1h4W9YvnyYL3O+4/0SETg4mLFV1/VkZVL0YZRo+qwdOl1\nnj8Xo5wA/lt19epVBl5e2zQaETMzQ3r1qsTmzWE6X6OvrxMhIW9IS9O+UHp52XP1qvYQSLlyJd4b\nEs14+/ad0HnV4cED7TQaRREX945du14wZkzxNICpQmJiDuvWRdOkyXmaNj1PcnIOP//sw927rZg1\nqyqrV3uzb58Ply75EhnZhrS0T4mP/4RTp5qycGFNunQpy5YtT6hV6zeZRkQejIwk/P0d+fFHed6s\nkZGSnkZVn5C9vQkJCdqbFPPztRMuPn2ahqurWBgyJOQtdepoL+8+ceIp7drpLg2QnJzNkSPR9Osn\n3ys5fPgxjRs70ahRWY3j5s8PZtgwb+zsiscruXHjFYcPRzJ+vFjHu/Iaruh1zo/WkMyf34KVK0N4\n9kx80deE0qUtGD7cm82bxalQAOrXdyQ/P58aNX7SSijZuXMFjh59wvPnYsSTqtCmTTmhsJidnSkO\nDuZqdnz/CxeXEjx7pt2QVKhgpReTcnh4Kp6e8vmvFi6MZOjQ8lhbf3gHPDIynW+/DcfD4yTDh9/i\n+fNM7t1LYceOZ0yceI+2bS/h6HiMEiUO4+FxkiZNztO9ezDbtz8rFpZpTRg40IWIiDQePJB3/9Ss\naUN+PqSn/z4s6eBgKhT+zMtTaM1VPHmSLlxuGxr6RihkdeHCS7y8SupcBgywceN9Bg8W69EojPx8\nBcuXhzB2rOYcyJMnKRw4EMGYMfK6zffv70z16qqN6ZQpFxg+3FtYalcO84YqfJSGpEkTZ5o0cWbB\nguLpYAcl5cDu3Q94+VLeQzp4cA1mzbpKYqL2xrC+fatw6pRuDYgFaNvWhVOntBuS6tVtCQ8Xo88o\nV86C58/FKsgkPcpDbt1KwtJSvjGIicnk2LF4Roxw0/ncuuDSpbds2BDD6tWP2b//BZcuvSUqKl3n\nyjV9YGpqwPTplZk9W36flI+PHdeuqa7cc3e3Ekpm5+crtHokz56lC4s/hYS8pXZt7YYkKyuPS5de\n0aqV/IR5AYKCXpCU9I66dcVFrwqwZct9WrZ00UqUGBh4lREjvIX7QJTX9Zy5c5ur/CwhIZPAwKss\nWqReCrg48dEZEkmCZctaMWnSeTIzi+eBtrMzY+hQL9mGydbWlB49KrNhg2ZyRlDSxTdt6sTBg/LF\nqwpQrlwJHBzMCQ3VvoOsUcOee/fEErIuLmKhLYUCvcoM791LoW3bMjp5FvPmRTB6tLswg/A/DcOG\nlefWrWSCg8W5tQrg42OvVj7Z3b2EVg0aKPBINI/JysrDxsYYa2vteZ+QkDdCoS2AEyee0batmKKg\nOpw69VSn8FZaWg4//nifr7/WXBX1+HESv/wSxahR4hVca9aE4uVVmsaNVVew/fBDCJUr2+Pn5ybn\nknXCR/dUDRhQg+zsPHbt0r18tii+/roOhw5F8OSJPIW6gQOrc+xYNHFx2nfzPXpU4vjxJ3rRt/j5\nufDrr8+10sED1KxpJ2xIcnPziYnR7okpdG3Df4+cHAXXryfSuLH8KpywsDSuXUsiIEC/BeXvCAsL\nQyZNqsj06dr521RBs0diqZWHDQo8Eu3LTUJCtsaqxQK8epVJTk4+Li7acyonTz6ldGn98g+7d0fQ\no0clnUqJV64MZeDA6lr7RebOvcrXX9fBykosDPfuXR4zZ15i3jzVXklOTj4TJ55j8eJ/CVHN64OP\nypBYWpowZ05zRo8Wo5QXgZWVCV99VYd58+R5I5IEI0d688MPt4TG9+1bmR07dFsIClC9uh1HjjwR\nGlujhp0wq3CtWvZCfFwg5pGUK2eBqanqW/PChTc0a6Ybh1ZgYATffFPxgz9UfzV8/bU7QUFvuXNH\nvhSvjY0xLi4W3Luneq67uyWPH2s3JCIeCUBCwjshQwJw8GAM1app78p+8CCJJk3KylI+LIqIiCRe\nvEjH11d+p/zTp6n89ttTAgI0i0pFRCRy8mQ0X31VR/jY27bdx97enA4dVBeTHDwYwdu3mQweXDwd\n9OrwURmSoUNrcexYFDduFF9lzJdfenP6dAwREfLq8tu2dSM5+R1Xr2ovS3Rzs6ZyZTtOntQvP9Kt\nmwc3boiV3ioNidjfZGtrQlKS9tJaZWhL+yK+d28z6tZV7XVcuPCWZs106wu4di2J0NAkevfWjTbj\n7wgbGyPGj6/AzJliom5FUb++HSEhSWoLAeR5JNp/e6UhEduRZ2XlUaOGWDL50qWXNGmiuXpKG3bt\nekTv3pV1mrt0aQijR9fW6tHMmXOFr76qg4WFWFl3Ac9WYGBztcceN+4ss2Y1EfZ0dMFHY0icnCyZ\nMqUR3357qdiOaW5uxNix9Zg7V76S4qBBNYS9kT59KrN3b4RelRXOziWwsDDi0SPtMfKyZS3IzVUI\nqy7KMSQiCAtLVkuBceXKW2rXtlXrsWjD7NmRLFpUjTJldNOq+Lth7NgKHD0az8OHulX6aQprAbi5\nlSAmRnuO5MWLDLKztd+/cjyShw+TqVxZTAnz4sVXNG3qKDRWHfbsiaBr1woamX3V4erVlzx/nkqb\nNpopWx48SODUqWi++ELcgzh8OJK0tBx691bNJhwaGsfx49FMmdJQ1jXLwUdjSGbObMLGjXeIjdW9\ndLYoeveuyv79Edy/L0/XvVw5S5o2dWb3bjHSxb59q7Bjh247ygI0aeLI5ctinliNGnbcvSsulmVn\nJ2ZIQCy0pTQkqheI9PQ8wsNTqV9fNzLG0NBkNmx4wtq1H9bV/yugTBkTBg1yZdYs3UOiHh6WXL6s\nmpOtTBkz0tJySU/XXrTi7m4ltJEQzZEAPHqUTJUqoobkJU2b6ueRPHuWRlhYIm3a6NaXsn79XcaM\n0R62WrPmFmPHaiZ9LIpJk87z/fdN1bIJT516ge7dq+Dq+mHkoz8KQ1Klij1dulRi3rzi0WAHJUfW\n5MkN2b5dnt4IwIAB1TlwIIKsLO10IdWr2xMdncLlyyKduerRuLG4ISlf3lKoEREKmtUMhUpaw8OT\nhAxJeLh6QwL65UkAvv8+gooVLf7RIS5Jgk2bvFm3LoaYGN1UKU1NDeja1YmgINWGpEIFsbAWQIkS\nRkLNqHI8kkePxD2S0NA3VKxog7W1fuGd3bt1D2/t2xdBnToOuLtrvubgYKX30rWr+HkuXHjOiRPR\nDBigmhrl5cs0tm27z6xZ+lGhqMNHYUjmzGnGggXBJCXJlwlVh06dPHjzJpMrV17ImidJEBBQnc2b\nxQxQt24VefBAXv5FFZo0ceTSJTFD4u1dkrg4sbCWjY2JVhGuAjg7WwiVdoaFJVO1qvqHLSjoDY0a\n6a4Lkp2dz8CBt1i6tPo/NsQ1enQF7O2NmT8/SudjtGxZmlu3ktRyqFWrZsPdu2LlxJaWRkKei5wc\nSWxsBlZWxlhZab+ncnLyuXEjnoYNywgdWx327o3kk0/cMDeXX4L+7l0e27aFM2RITa1jFy0KZsKE\nBrKOv2XLPaZNa6w29LZkyQ3at69AtWrFp4xYgH+8IfHxKUv9+mX54YeQYj3uuHH1WbJEPmNw8+bl\nyMjI5eZNMa6jLl08OHBA98UAlLvBqlXthBPt7u5WREeLdfyL5kcAkpNzhDqMnzxJp2RJU6ysVD+s\nZ868pnFje52aEwtw82YyGzc+Zc0a7Q/13w116tgweXJF+vQJITdX95Jrf38nDh9W7wnXqWMvw5AY\nC3mtr15lyurwj4j4Y/Mkr19nsm9fJG3a6FZGvm7dHQICqmvNsxw5EoWdnRlNm4o3UgYHvyQs7A0D\nB6q+p1NTs1mwIJjZs5vJumYR/OMNyfz5Lfj220tkZRVfN3G9eo6UL2/N/v3y8xZKb0SMRsXd3RpH\nRwuuXNGvyqxBgzLcvv2Wd+/EmHc/nCHJxsZG++5RoYCHD1Pw9FS9QKSm5nLtWiIdO+q3KHz33SMq\nV7akZ08nvY7zV4KlpSG7d9fhq6/u6hzSAqXn3KmTo1ZDEhIilktTyixrD23l5yuEekMK8OhRirAh\nuXTpld6VWwAhIa/p0sVDp7mPHiUSHp5A586atUry8xUsWXKdCRPE+bIAZs26zJQpDTEyUr20r14d\nSr16jjRooP/3UBh/iiGRJGmhJEnhkiTdliRpvyRJNu/fd5MkKVOSpND3r9WF5tSVJOmuJEkRkiQt\nFzlP+/YVKFXKnJ9+ksd/pQ1jx9Zj+fKbsrmRrKxM8Pf3YPt2sWbILl08OHw4WqiBUBMaNy4jHNYC\ncHOzJCZGzJBYWBgSESHWnyBqSEBzwh1g795YunfXL8ehDHGFsnx5DRwcPlxp5B+JVatqcu7cW/bu\n1S+nVreuHcnJOURGqq7IMjSUqFnTllu3xMKuyhyJ9s1cdnY+Jibiy5KcPMmVK6+wszPRW6f8yJFo\nPvnETed+pHXr7jBsmPZij61b79GokROVK4uHca9efUFERCL9+6vOlWRl5TJr1mUCA1U3MeqKP8sj\nOQVUVygUXsAjYHKhzyIVCkXt968Rhd5fAwxWKBSVgEqSJLXTdAJJUvaNTJ4cVKxkeOXKWdGunTub\nNmnXVS+Knj2rcObMM968EdspdulSQe+wFig1TEST9WXKmJOWliMUzwYwNTWkVCmxrmHR0BbA1atv\ncHZWL3J06NALWrVy0CjfKoIbN5IJDIxg5866eh/rz8bnn5ejXj1bRo+WXwBSFJ9+WpZDh9TfM1Wr\n2vDsmThvmKWlsdA9lZ2dL6u8Njw8EQcH0fsvGxsbUypVEjM86vDsWRpPn6bSuLFuu/oDByKpUaMk\nFStqrjzMzMxl7drbjB0rj8xx1qxLTJ3aSK1XsmXLXZydrWjdWrNWihz8KYZEoVCcVigUBUXl1wCN\ngUBJksoCVgqFooA0/yegs6Y53bpVoWxZS44cidT7egvj66/rsHXrfVJS5GhbKDFokHhYy8HBnBo1\nSvLbb7oLWBXAx6cMd+6IhSDkhLUADA0NhOPwcjyS8PBk2rdXH3JKTMzh8uW3dOyov4u+YkU0T55k\ncOhQ/b8tF1fFiiVYsqQaPXveJDNTLITZo4czXl6qF1V//7Jawlp2hISIeSPGxgYYGkpCodWcnHy1\nJayqEBeXhaenuOZ4aOgbatfWveKvAIcORePvr5s0QXZ2Hlu3hjF0qJfWsatWhVCzZilZFPOXLsUS\nE5NM376qGYvz8hRMm3aBuXNbCB9TG/4KT80g4Fih/7u/D2udkySpoFbNGSgsexj7/j2VMDCQmDmz\nicbmQ29vB1lMmwAlShjTvLkLK1bclDUPoGJFW968yeLEiRih8f7+Ff6rsqYP7O1NsbU1JTpaLPyk\nNCTivTZGRpJwo6TSIxEzJNeuvcXb205j42FxhLdAmZMZMuQ28fHZ/PxzPYyN/14UKu7uFmzfXptx\n4+5z757YJsDa2oiVK71U3l9ubhY4OppqbESUkx+xsjLi9Gmx6kalRyL+/cfGpsuiPgkJeV1MhuQx\n/v667+jXr79Dy5auar2GAsTHZ/D4cTIDB2qmVymKWbMuM3VqI7Xht337lL1FHTtWknVcdfhghkSS\npNPvcxpFX50KjZkKZCsUip3v33oBuCgUitrAOGCnJEmyO2i6d69Kamo2J05Eq/zcwEBi715/tVz+\n6tC3bzVevkwjJkZMRrcwevf25PFj9VQTRdG5cwW9mH4L4OVVitu33wp3lcv1SIyM5HokYqGt9PRc\nHjxIUUuVAnDw4Atat9Y/vAVK4aX+/UPJyVGwc2edvw0fV/XqVgQFNWbr1mds365dPrkA48dX4tix\nOMLDf/9bd+7sxNq10eRr2B/UqWPPzZtihsTR0Zzy5cV0RuR6JLGxGTg7a5fnLUBxeSS3b7/B2NiA\natV0K0OPikomMzOXdu20G6NVq0IYMaK2LObsoKBnXLz4nM8+q6Lyc4UCpk8/z9y5LfRi5C7AB1P6\nUSgUfpo+lyRpINABaFVoTjaQ/f7fIZIkRQGVUHoghcNf5d6/pxIlS16hb9+dQBJQAfjfCovPPqtM\nXFw6ly+LP3ig5NWaOFFUUfF/48G9e1chIODY795XBQsLIypXtuXYsUhEJXvVoXZte0JD4zWc93/f\nNzHJe9+3oi2Po7x1jIxyyM3NERgPcXFJJCdnCo2Fgm5kWy5fVi33m5ioTKB+8okVe/aoM7rit3hu\nLvTseYrDh1uxeXNNBg68KGyA/wz4+JTm0CEfxowJZvdu1ZsmVShd2oyRV+ErrAAAIABJREFUI92p\nW/cg8L/epyTBV1+50bv3WUC1oTA0lJCkfG7desH7x1UjnJzs34u2af/ds7MzMTbm/Vjtz0pamrJc\n2NY2X6hPLDT0FbVrt1RzbHnP2uHDUfj7lycsTN46UoCffrrPgAE1+OUXzXnQa9dekpKSTZs27pw8\nKf477937kMDA5uzZo5pB4+TJX3FxuUGVKs948EAeO0dR/FlVW+2AbwB/hUKRVej9UpIkGb7/dwWU\nRuSxQqF4CaRIkuQjKVn/+gEH1R2/b99RPH5cH/CjqBEBmDjRh/nz5WkUN2zohKWlCb/+GiNrHoCX\nlwNmZoZcuyaW8G7RwoXnz1NJTZWfhykKb+9S3LolrpHu5VVauMEQCjwSsdBWXFwmTZuKN4RduhRH\nkyaax//44yNatSq+Usbs7Hy6dDlD+fKWrF7dqNiOW9xo3bosR460IiDgoiwjAjBpUk127oziyZPf\nhzBbt3YmOTmb69fV3zP16pXCyspYuOzb2dmC2FjtfFwAOTl5sqq2AJ4/T8PZWSy89epVBrm5+bi4\niHlImnDoUBR16jjoPH/Pngf4+bkJ5T9WrQph5Mjaso5//PhjDAwk2rRxUzOiAq9e+bB790okqZWa\nMWL4s3IkKwFL4HSRMl9f4LYkSaHAXmCYQqEo6HgaAWwEIlBWdp1Qd/CZM4PUnrhlS1csLIz45Rd5\nSfgvv/RmzZpbOu1Qe/XyFObVAmjXzk04l6INSkMivtsoU8ZcSB+lAEZGknC47tmzNGEpVVAaksaN\ny2h0vY8ceUqXLm54eKgmeWzduiwTJ8qLL2dm5tGx46/Urm3PggXyOI/+CHz2WXm2b29Oly5nOH5c\n3m64XDkLBgzwYM4c1YShw4dXZe1azeXprVs78+uv4owOTk4WvHghZkiys/N5+FCe+FZsbBrOzuL3\nlTK8JV/tsCiCgp7j51cee3vdtE6Sk99x4kQ0PXtqF8zatSucRo2ctCotFsXChcFMnOij9vNfflGS\nwX76qW60LwX4s6q2KikUivJFy3wVCsU+hUJR4/17dRUKxdFCc24qFIqaCoWiokKhGKXp+L/+qn6H\n9u9/+7BwYbAsg1CypDmdOlVkyxbtSoaq0KtXVVlCWsVlSExNDalY0ZawMHECRgcHC+LjxRvZ5FRt\npabmkJubj52dWJHDy5cZpKRkU6WK+qqczMw8Nmx4yNdfq65QuX8/iQkTamikXFGFtLRc2rU7jYOD\nGcHBHaldW3dKluLE4MGVWLHCh7ZtT3PpkhgfWmHMmOHN+vWPiIv7/W/s5GRBixaO7NqlOTenNCTi\nBkyOITExMdD4e6uCMuEux5DE65zbKIycnHyCgp7TurWbzsfYuvWe2p6PwsjMzOWnn+4zfLhmpcWi\n2L07nMqV7ahTR71n/913F5kxQ79u979C1dYfBm9vB6pVK8XOnfLUEQMCanL4cCQJCWL8U4XRqJET\n6ek53L0rFl7y8LDF0tKY27fFw1Hq4Olpx7Vrr4Q72kFZdhwfL+6R5Obmy2qYfPo0HVdX8SobkfDW\n6tVh9OtXUSWP18uXmXz77S3WrWssO6mYlJTNwIEXWbYsjOPH/Vi4sB4WFh8sragRpUubsXRpfUaP\nroav73Fu3xbfHBSgUiVrOnd2ZcEC1SXogwdXYffuxxo70C0sjKhbtyRBQeINrs7OJYRDWyYmhrIr\nFWNj03B0FE+43737tlg8EoBTp55oCB2JzI/G3d1GqOlwzZpbDBpUE1NT8WKEnJx8li69wTffqOft\nOnz4kd5Nmh+VIZk40Ydly26QnS2+sEoSDBvmxZo1oTqds1evquze/cd7IwA1apTk5Utxo2BuboSx\nsYGw2iEob1RtEqKF8fSpvPDW0aPPqF9fc5VNbGwGJ0/GEhCg2j1fu/YhxsYGDBqkW6njtm1R1Khx\nEEdHc+7e9cfPz4mFC+vRvv2HZw+2tjbmu+9qEx7eGQMDiebNjxMZKV5VVxgTJlRn9uzbKnMbhoYS\nQ4ZUYd06zSHYZs0cuXnzLRkZ4pRDSo9E7D40MTGQtfEBiIvLkGVIHj5MokoV3WQIiuLkyRi9DEle\nnoIdO8Lp10+1R10YkZGJHD8eTadOmulVimLDhju0bl1eI+vwd99dkHXMovhoDEn58ta0auXK+vW3\nZc1r1ao8qanZwonywjAwkPD1LfenhLUAKle2FRKyKoDSG5HHz5SZmYu5ufgO6dmzdFmG5Ny5l/Ts\nWUFrAnbZsnuMGlVd5c4qP1/BsGGXmTu3jnAXdFG8efOOfv0uMGLEVdata8TYsdXZt+9fjB6tfQHQ\nBWZmhkyYUJ2IiK64uJSgbt1fGD06WDjBXRTDhlWhbt2SrFmjWpukQwcXnj1L19q46ucnL6wF8kJb\npqaGsjZ6AImJ77C1Fe8Je/QoiYoVbYql7DUiQlnSX7Wq7oy6W7fepWbN0kLXc/hwJCNGyEu6p6Vl\ns379bcaNU8/bdfCgfjLeH40hGTWqLuvW3ZZdCTVoUC2WL7+h0zmbNHEmPx+iosQWc1NTQ5o3d+bX\nX/WT1C2A0pCIU9A7OFjISrRDgSERD/fI9Uji4jIJC0uiRQvNlVnBwa+Jj8+iUyfVokN37iSyZUsk\nS5bII8EripMnY/nii8vk5uZjbm7E/Pl12bq1abEl5I2MJIYOrUxERFcaNXKgRYsTBARcVFlhJQpP\nTxu+/742ffoEkZOjOmzUqZMrK1dqp1Zp3dpJliExMTEgJiZN2DPWJbSVlPROOO8GkJ6eQ2LiO1xc\nikfk6eTJaL28krt331C5sr0QkeKRI5FUr16SChXk5ZFWrAihRo1SagsD9C1z/ygMSYkSxgwYUION\nG+XxY9nbm9G+vTsHDkTodN7OnStx8KD4XB+fspw580ynXIwqVKli98E9kqysPMzMxD0SpSERz5EA\nHDgQQ+fOblrHLVt2jzFj1FdozZp1m8aNHfDz04/tt1Gj0v/1fIyNDejfvyK5uQNYtqwBXbq4UrKk\nPMYEMzNDqla1oX9/D8LCutCtmxtdu57ls8/OEh4uv/m1MExMDNi1y5cpU27y6JFqdoMWLcrSsqUT\n+/bFaDyWg4M5rq6W3LghXgVYqZINpUqZCZeI6xLakuuRADx8mCg7qa8Op07F0LatfrxVe/Y8oEcP\n7dVbOTn57NgRTkCAvErEuLh0oqOTZUn4ysFHYUj696/OuXNPefpUjCakAH36VOPo0cc68WqBfEPS\npo079+7p1xhUGJUq2cgyJJaWxoSFqVbDUwe5HsmjR8mYmclLWB88+AR/f1etrv++fdEYGir7HFQh\nIyOXESOusnp1Q0qU0D1pXqdOSfLyFFy9Gs/s2bfp0OE0AQEXePkykyFDKhMV9Rl37/qzalVDevRw\no0wZc0qWNKVBg1L07u3OtGm12Ly5CefPt+P58+4kJvZh//6WeHvbM2zYZdq0OcX168VzH8ydW4fH\nj1PZuFH9fRgYWJ/p02+q9VYK0KaNM1u2RMgiQa1WzZawMHGvWJfQllyPBAoMSfHkSX777QlNmjjL\nSoIXxZ49D+jWrYpQeGvTpjsMHFhTdoJ85coQRo78MKwNf04Jyh8ISVKGtYYOPSl7bkBATf7973M6\nnbcg5nnnjnj1la+vC7NmqZcDXr78X8ybF8zLl9rjzU5OJUhLy5FlBEuVMsfCQjxxDvI9kgcPkvHz\nc8LAQBKu9oqMTCExMZsGDUpz7Zr67zM3V8G2bZEsWuRDixZHVY45cSKWvXtj2LatGd26ndOJor93\n7/Pk5ipUzp0//y6GhhLe3vb4+jrSt28Fpk2rhbNzCaKiUomKSuXx41QuXoxn69YoHj9OJTY2Q2+p\nAFXw83OiRw93vL0Pqx3j718ec3NDdu/WzjLdv38l1q8X74cCqF7djrAw8c2MiYkh797JC20lJupi\nSIov4Z6c/I4DBx7RoEFZLlx4rn2CCoSFvSUtLRsfHyeuXtXco3P//htevEjDz89NVqd7aGgcT5+m\n4O9fSSctJU34x3skfn5uZGXlyv6Ba9UqTalS5pw5o1u+onPnSrJCYubmRnh7O3D5suqbyMTEkCFD\napKYKCYXLDfRDgUqdvJoIuR6JGlpObx6lUnFivIaqw4efCIU3tq06RG2tiZ07ap+7MyZt7CxMWHp\nUt3yJdnZmkue8/IU3Lz5liVL7uPvf4ZatQ5TsuQuGjT4hd69zzN1agibN0dw/vwrnj1L/yBGpFQp\nU378sQkDBlwgIUH1PWNgIDFnTj0mT76uNUbu6GhO3bol/1975x4XVZk38O/D3bsIgpJ4BwUV76Cl\n4iUvaV4SrUy3rNY227U2zdpyd933U++7m25tm1Zm2tVS85queCWveQ+RuwqIIKkoIiCgIDzvHzOT\niDBznjOjKHu+n8/5OJyZM/P8PHPmd353/vMftetB1SIRAs6cUctKu3KlZl1bAOfOFTJoUNXxOa18\n//0JJk6sujdWZT7/PI7nn1ef7rlgQTQzZvRQPs4WtV6RvPxyTz78UH3M7tSpXfjqq3jdF7mqW6tv\nXz9iYy9Wm1bZubMXKSlXNE961KNI6tVzobBQTZEUFd1QVj6xsZcJCVErCFu/Pp1x41rZfF15ueTV\nVw8yf35ota6G0tJyxo/fyeDBzfnjH+9M1lVN4uQkWLiwD8uWpbFzZ/X1HlOmtOfy5ets3mz7JuvJ\nJ9vxww8ZXLum5nbq1MmThATt38MHHqinNI8ETN9BFxcnpdYqJ05csWsMcWX27DnLgAH6xu9aWLUq\nmYkTtbm3VqxIYujQ1nh5VT+zpyrWrj1J+/aehIQ4po7GQq1WJAEBnvTu3Uwp/RZMAdTJk4P48kt9\nkxVbtmxIixb1+ekn7dkt4eEt2bWr+ru9Hj18iY7WNucdTIkCKq1RwJSUoKoU8vJKCAxUu7PTo0h+\n/vkSV6+WEhxs+7N27jxHbOxlXnml+orhvLwSRo7cwaxZnYiIsK2g7hecnQVffdUPIeAvf6m+9snN\nzYn/+Z8evPnmEU3vO3lyO779Vq2tkKurE23bNuDkSe0JA15eHly6pJ5sEhNzUWksRGZmAUOGtHBY\nvGD//ixCQ5srK8GKJCbmkJ9vcm/ZIi/vOhs3pvLkk7YD9BW5caOcRYtimDGjp95lVkmtViR/+EMP\nliyJVZ7XPmpUO5KSLpOWpnZHb2HcuAA2bkxVsmbCw/3Zvbv6IVbduzclOlp7S4zu3ZtqnsRowTTF\nTk2RXLtWRklJGQ0aaI+t6FEkUsL27Vk895w203/27MPMnh1itW4kM7OQ0aOj+PjjPvTt69g7tJrA\n2VnwzTf98fHxYOrUfVaD5y++GERcXC4//WT75iQwsBF+fnXZuVOtlqp9+4ZkZBQqZWF5eXmQk6Ou\nSHx86ip1HSgrk2RnF+Pnp5ZBWB15eddJScm12opEC6tWndCUvQXwxRexPP20WvYWwOLFx4mICKRJ\nEzVrxhq1VpHUq+dKjx6+fPJJ1c3prDFwYEsWL1Y/zkLXrj6sWaM9mOXh4ULPnr7VxkfAYpFoVyT+\n/vU5e1at9qBePW3jUCuTnV2Mj4/2L2Vs7GW6dlXvdfTpp8k880yApuB+Sko+X311irfftl68FRNz\nmaef3sfatYMJCFCL29xLuLgIvv12AJ6e7owd+6PVKYleXu48+qg/c+Zoq4+aPLkdK1akKbt5TW4t\n7fERAG9vfYqkpKRM2RrIyCigZUvH1JIA7N1rv3tr9epkBgywOjD2V3bvPou/fwMCAtSSBi5eLGLD\nhhSeflo9xlIdtVaRPPFER3Jyijl7Vi1w16iRO1On2p4RUB3167vx+OMd2LNH+4jcsLDmxMdf4urV\nqjOsnJ0FXbp4K/XfatGiPpmZ6opE1bUFcPHiNSVFkpZWgLe3R5W9saxx5sxVDh3K5okntI04ffvt\nY4wd29Km0tq6NYs//zmayMiHadFCe6uNewUXF8Hy5eHUr+/CuHE/2oxjfPbZgxw7dpm4OG39uiZP\nbq/s1gJTmvSBA9rdsaDfIlEdiAWmbtSOaCdvYc+eTPr316YEqiMhIYcmTTzo3Nn28K3ycsnKlclM\nmhSk/DkLF/7MH/7QyyHV/VCLFckLL3RVbocC8NhjAURFndFdOzJoUEsOHTqn5CLq1s2HH36oPjDf\nsWMTsrKuaq7Kd3YW+PrW1ZQmXBE9ri0wWSRNm2pXJOXlkvj4XGX3FsAnnyQxfbq2Cycvr4Q//zma\nV18NtukLX7r0FO++G8+BA6Po10//jIm7jaurEytXDsTd3Znx43fadCM9+2x72rRpwF/+os0a6dOn\nKefOFREdrVZfBNCvXzPl47y83MnJ0ZaZWJGSknLlOSaZmQUOq24Hk0XSr18Lu3+cN25M1dxPa/ny\nJJ56Sj1h5OjRCxQUlDB4cGvlY6uiViqSrl198fOrX+2oXWtMmqTWZLEyI0a0Uf7cIUNaceKEtfnY\nPkqB9mbN6pKTc81mgVll8vKuK2flgLprC+DAgWzCwrT9YLu43LwyN28+i69vHXr00NbbaOnSUzRr\nVsemiwtgyZKT/Pa3+1m1ahCzZtlu7V3TuLk5sWrVQJydBRMm7LTZWqRduwa8+24vJk/eo7kNyaxZ\nIaxerX4dubk50b27l9W6n6rQa5GUlJTVuEWSnV1EdnYRnTvbF2/buDGF0aNvH8hXFYcPn8PFReiK\nzSxefIxp09T6dlVHrVQk06Z1Y8mSGMrLSzCNz9S2NW3qSmhoc/7zn+QK+9V45JE2bNmiNms9LKw5\nhw9bApk3bts6dWrC0aPnqnzu5nZTjhYt6pCZWaAkO5Ti61vntveqfrv52RcvFuLj425jfZbNNGp3\n//5MBg70+fXv6ra5c7swe3bwr3+Xlxfx6adxTJ8eaPNYKEbKYqZM2caUKW0ZObKpzddv3ZpCWNhq\nHn+8JWvXDqBhwzJNn3O3t/bt3fjyyz4UF19n4sTNlJQUWn29s/M1li3rxzvvHCUx8ZzmzwgPb8aS\nJceV19ezZwNOnMjl6tV8bo7Ntb45O5fRqJEbubmFCt9D01ZaWoara7nSMZmZV/D3r0dV32m17Sbb\ntp2mb1/7WvDs2XOWoCAvmjatzs16qxzffZfApEkdlGSHUr79Np7hw9ta+Rzt1EpFMmlSJ5YuVQ+W\nT5gQxKZNKRQXqwecwZRu7ObmrNTmpFWrhpSWlpOVVX08o1Mnb1JStActTYF29VbjQoDU0b1N1bUF\nsGdPFv36+dls87BpUzrPPx98i7tg6dJEIiLa0aiRm6bPunTpGk8+uZ3PPx+kqWFkRsZV+vdfT1ZW\nIUePRhASor+zq6NxdXXirbd6cODAYxw+fJHJk6M0WZ5z5vQkP7+EBQu0D2d77bUeLFoUp8vd2a+f\nH/v2aZ+iCNC0aR327z+nq3ZLj0Xi6GA7QFJSDr172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I7y4GRqNtT8LaOIYpL9pkopdspAF7VLqV3mFL0zCl5Tnjo7mMMBMSD5d7r+/7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\nGac8J78G4EtF5FMA7gTwbz32jVmOOwF8CwCIyA0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- "text": [ - "" - ] - } - ], - "prompt_number": 25 + "outputs": [] }, { "cell_type": "code", @@ -421,8 +388,47 @@ "input": [], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 49 + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] } ], "metadata": {} diff --git a/notebooks/DCinverse.ipynb b/notebooks/DCinverse.ipynb index a430fe4a..d4a8e1c1 100644 --- a/notebooks/DCinverse.ipynb +++ b/notebooks/DCinverse.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:8f8d2c689741d8d56146a511dd2c67e7956c3d1fe0dcef0cf550c0b5c5f9c52d" + "signature": "sha256:9107d99fbfb21822b71a94de16f078e82c12cf73d2e85893fd26dfda06c8ce14" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "%pylab inline\n", "from pymatsolver import MumpsSolver" ], @@ -33,7 +33,7 @@ "text": [ "Vendor: Continuum Analytics, Inc.\n", "Package: mkl\n", - "Message: trial mode expires in 20 days\n" + "Message: trial mode expires in 29 days\n" ] } ], @@ -156,9 +156,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 8, + "prompt_number": 7, "text": [ - "[]" + "[]" ] }, { @@ -166,11 +166,11 @@ "output_type": "display_data", "png": 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Ri9L3M1Mbz8vlfARYExH/lr7fBRwFHNyvrqRPAecAnwNeHhH/VdSspp3DOQi4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\nWSX+P3faf3379MqEAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 8 + "prompt_number": 7 }, { "cell_type": "code", @@ -179,7 +179,7 @@ "expmap = Maps.ExpMap(mesh)\n", "m2to3 = Maps.Map2Dto3D(mesh,normal='Y')\n", "imap = Maps.IdentityMap(mesh)\n", - "problem = DC.ProblemDC(mesh, mapping= imap )\n", + "problem = DC.ProblemDC_CC(mesh, mapping= imap )\n", "problem.Solver = MumpsSolver\n", "problem.pair(survey)" ], @@ -204,16 +204,16 @@ "output_type": "pyout", "prompt_number": 10, "text": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], @@ -283,7 +283,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 6.59e+00 1.84e+03 1.05e+04 7.11e+04 2.15e+03 0 " + " 0 7.28e+00 1.86e+03 1.05e+04 7.84e+04 2.20e+03 0 " ] }, { @@ -291,7 +291,7 @@ "stream": "stdout", "text": [ "\n", - " 1 6.59e+00 1.98e+02 1.07e+04 7.10e+04 1.89e+02 0 " + " 1 7.28e+00 6.57e+02 1.06e+04 7.80e+04 1.15e+03 1 " ] }, { @@ -299,7 +299,7 @@ "stream": "stdout", "text": [ "\n", - " 2 1.32e+00 1.70e+02 1.07e+04 1.43e+04 2.63e+02 0 " + " 2 1.46e+00 5.58e+02 1.06e+04 1.61e+04 1.03e+03 3 Skip BFGS " ] }, { @@ -307,7 +307,7 @@ "stream": "stdout", "text": [ "\n", - " 3 1.32e+00 9.16e+01 1.07e+04 1.42e+04 1.81e+02 0 " + " 3 1.46e+00 1.36e+02 1.08e+04 1.59e+04 1.69e+02 0 Skip BFGS " ] }, { @@ -315,7 +315,7 @@ "stream": "stdout", "text": [ "\n", - "------------------------------------------------------------------" + " 4 2.91e-01 8.24e+01 1.07e+04 3.20e+03 2.05e+02 0 " ] }, { @@ -323,10 +323,37 @@ "stream": "stdout", "text": [ "\n", - "0 : ft = 1.4181e+04 <= alp*descent = 1.4181e+04\n", - "1 : maxIterLS = 10 <= iterLS = 10\n", - "------------------------- End Linesearch -------------------------\n", - "The linesearch got broken. Boo.\n" + " 5 2.91e-01 4.61e+01 1.07e+04 3.16e+03 1.35e+02 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 6 5.83e-02 4.40e+01 1.07e+04 6.65e+02 1.16e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 7 5.83e-02 3.99e+01 1.07e+04 6.61e+02 1.35e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 4.7528e+00 <= tolF*(1+|f0|) = 7.8397e+03\n", + "0 : |xc-x_last| = 4.6314e-01 <= tolX*(1+|x0|) = 1.8172e-13\n", + "0 : |proj(x-g)-x| = 1.3494e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.3494e+02 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 7 <= iter = 7\n", + "------------------------- DONE! -------------------------\n" ] } ], @@ -346,15 +373,15 @@ "output_type": "pyout", "prompt_number": 14, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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FaPcBbhJMN+hLOgL7QNIC9sHA2YLfhfYpyqy3kRDukzUoRkROJ6zSyYyz+QAs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\nRuE4juMUxN1jHcdxnIL4qyfHcRynIF3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AY8DLwM/N4ue+64HjJb0GHBvWC16G4ziO0146yZvIzEbn2b4OOCWxvhBYmKPe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\nHk5VknQv8D/AoZJWSzo/7LoeOF7Sa8C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"text": [ - "" + "" ] } ], @@ -385,21 +412,30 @@ "output_type": "pyout", "prompt_number": 16, "text": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], "prompt_number": 16 }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 16 + }, { "cell_type": "code", "collapsed": false, diff --git a/notebooks/IPinverse.ipynb b/notebooks/IPinverse.ipynb new file mode 100644 index 00000000..e7dca246 --- /dev/null +++ b/notebooks/IPinverse.ipynb @@ -0,0 +1,586 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:7a25294a07f33a379f31ea5a89ae7d8acb31779a85ce8f5d01cd1d33d466c89b" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "%pylab inline\n", + "from pymatsolver import MumpsSolver" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 30 days\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "cs = 12.5\n", + "nc = 500/cs+1\n", + "hx = [(cs,7, -1.3),(cs,nc),(cs,7, 1.3)]\n", + "hy = [(cs,7, -1.3),(cs,int(nc/2+1)),(cs,7, 1.3)]\n", + "hz = [(cs,7, -1.3),(cs,int(nc/2+1))]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')\n", + "print mesh" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -541.97\n", + " y0: -416.97\n", + " z0: -548.22\n", + " nCx: 55\n", + " nCy: 35\n", + " nCz: 28\n", + " hx: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 41*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hy: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hz: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sighalf = 1e-2\n", + "sigma = np.ones(mesh.nC)*sighalf\n", + "p0 = np.r_[-50., 50., -50.]\n", + "p1 = np.r_[ 50.,-50., -150.]\n", + "blk_ind = Utils.ModelBuilder.getIndecesBlock(p0, p1, mesh.gridCC)\n", + "sigma[blk_ind] = 1e-3" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "eta = np.zeros_like(sigma)\n", + "eta[blk_ind] = 0.1" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sigmaInf = sigma.copy()\n", + "sigma0 = sigma*(1-eta)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dat = mesh.plotSlice(eta, normal='Y')\n", + "plt.colorbar(dat[0])\n", + "axis('equal')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "(-600.0, 600.0, -600.0, 0.0)" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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SKuAU2y1n9PRqguj/AmYCd5eTbf7e9lW2t0u6DdgOHACuasjcVwEfB06huPp8VKKPiJhu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\nFngV8PWyfD1wi6Q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+ "text": [ + "" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "nElecs = 21\n", + "x_temp = np.linspace(-250, 250, nElecs)\n", + "aSpacing = x_temp[1]-x_temp[0]\n", + "y_temp = 0.\n", + "xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.])" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 48 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing)\n", + "survey = DC.SurveyDC(srcList)\n", + "print len(survey.srcList)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "63\n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig, ax = plt.subplots(1,1, figsize = (6.5,5))\n", + "indz = 22\n", + "dat = mesh.plotSlice(sigma, grid=True, ax = ax, ind=indz)\n", + "ax.set_xlim(-300, 300)\n", + "ax.set_ylim(-300, 300)\n", + "cb = plt.colorbar(dat[0])\n", + "ax.set_title('Depth at '+str(mesh.vectorCCz[indz])+' m')\n", + "\n", + "txLocs = np.array([[tx.loc[0][0], tx.loc[1][0]] for tx in survey.srcList]).flatten()\n", + "ax.plot(txLocs, txLocs*0, 'w.', ms = 3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 50, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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Ev0t6C3BKRLy+qF2tnOF0cu+dwqzx+f3yisodr3/bjjcz3sQ2DRovW94rr0x+aSV66bWb\nslcf3Y93mUM2U+mXMzvlTO9T94iIeF36/Gngo/0a0coBx8zsqeSoudlrzNlf2S3lZmBeerry/cDx\nwJKunFXAUmClpIXAIxGxVdJDfepulPSaiPgy8JvA3f3a6QHHzKzJhtBLR8R2SUuB68jWsV0aEesl\nnZrKV0TEakmLJW0EngBO6lc3/fQpwD9Kejrw0/R9KnfFzMymzJB66Yi4BrimK7ai6/vSsnVT/GZ2\nX3xQyAOOmVmT+V5qZmZWiRb10i3aFTOzFmpRL92iXTEzayEfUjMzs0q0qJf2nQbMzKbA0O400PdS\nyoJ6/2s42x+2Fo2du3Ry753CrPH5/fKKyh2vf9uONzPexDYNGi9b3iuvTH5pPqRmZmaVaFEv3aJd\nMTNroRb10i3aFTOzFmpRL+0HsJmZWSVaNHaambVQixYNeFm0mdkUGNqy6FWTqHesl0VXppN77xRm\njc/vl1dU7nj923a8mfEmtmnQeNnyXnll8ktrUS/dol0xM2uhFh1S84BjZtZkLeqlW7QrZmYt1KJe\nukW7YmbWQi06pOZVamZmU2Boq9RunES9hV6lVplO7r1TmDU+v19eUbnj9W/b8WbGm9imQeNly3vl\nlckvrUW9dIt2xcyshVrUS7doV8zMWqhF53BqvZeapI9J2irp9lxsP0nXS7pb0hckzciVLZO0QdJd\nkt5QT6vNzEaPpEWp79wg6YyCnOWp/DZJCyaqK2mlpFvS6x5Jt/RrQ9037/w4sKgrdiZwfUQcCnwx\nfUfSfOB4YH6qc7GkuttvZja19p7Eq4ukacBFZH3nfGCJpMO6chYDh0TEPOAU4JKJ6kbECRGxICIW\nAJ9Jr0K1r1KTNBe4OiJenL7fBbwmIrZKmgmsjYhfkbQM2BkR56e8a4FOdK3h8Co1M2uCoa1S2zCJ\nevPGb1/SK4H3R8Si9P3M1MbzcjkfAdZExL+l73cBRwEHl6gr4F7g6Ij4flG7mngO54CI2Jo+bwUO\nSJ8PAvKDy2ZgVq8f6OTeO70SeuT3yysqd7z+bTvezHgT2zRovGx5r7wy+aUN5xzOLOC+3PfNwJEl\ncmaR9b0T1X0VsLXfYAPNHHCeFBExwYzFsxkza7fh9NJl+8rJzsqWAJdPlNTEAWerpJkR8YCkA4EH\nU3wLMCeXNzvFdrMm9/kesvmgmdlUuSe9r+mbNUkleum1/5G9+ujuP+eQzVT65cxOOdP71ZW0N/Am\n4GUTtbOJA84q4O3A+en9qlz8ckkXkE3z5gHrev3A0en9y3iwMbOpN9bP5PueoSnRSx/16uw15uwL\ndku5GZiXzpnfT7YAa0lXzipgKbBS0kLgkXQu/aEJ6r4OWB8R9w9hV6aOpCuA1wD7S7oPeB9wHnCl\npJOBTcDvAUTEnZKuBO4EtgOnRd0rHszMplgM4RxORGyXtBS4juys0KURsV7Sqal8RUSslrRY0kbg\nCeCkfnVzP388cEWZdtS+Sm3YvErNzJpgWKvUtv148HrTn+V7qVWmk3vvFGaNz++XV1TueP3bdryZ\n8Sa2adB42fJeeWXyy9rRol66RbtiZtY+26dN5vr2nUNvxzB4wDEza7Ade0+mm/750NsxDL41jJmZ\nVcIzHDOzBtsxrT23i/YqNTOzKTCsVWo/jH0GrvdcPe5ValXp5N47hVnj8/vlFZU7Xv+2HW9mvIlt\nGjRetrxXXpn8sra36IE4rRxwzMzaYkeLuun27ImZWQvt8AzHzMyq0KYBx4sGzMymwLAWDWyI2QPX\nm6fNXjRQlU7uvVOYNT6/X15RueP1b9vxZsab2KZB42XLe+WVyS/LiwbMzKwSXjRgZmaVaNM5HA84\nZmYN1qYBx/dSMzOzSniVmpnZFBjWKrV18WsD1ztC3/Uqtap0cu+dwqzx+f3yisodr3/bjjcz3sQ2\nDRovW94rr0x+WV40YGZmlWjTORwPOGZmDeYBx8zMKuEBx8zMKtGmOw14lZqZ2RQY1iq1a+Kogesd\no7W7bV/SIuBCYBrw0Yg4v8f2lgPHAD8B3hERt0xUV9LpwGnADuDzEXFGUbtaOcPp5N47hVnj8/vl\nFZU7Xs02Ok9Gp2oL9cab1ZrR+G+iinjZ8l55ZfLLGsYhNUnTgIuA1wFbgG9KWhUR63M5i4FDImKe\npCOBS4CF/epKOho4FnhJRGyT9Nx+7WjlgGNm1hZDOodzBLAxIjYBSFoJHAesz+UcC1wGEBE3SZoh\naSZwcJ+6fwicGxHbUr0f9muE7zRgZtZg25k28KuHWcB9ue+bU6xMzkF96s4DXi3pRklrJf16v33x\nDMfMrMGGdOFn2XPbg5532ht4dkQslPQK4Erghf2SzcxshN2x9kfcsfahfilbgDm573PIZir9cman\nnOl96m4GPgsQEd+UtFPScyKiZ2O8Ss3MbAoMa5XaFfHGgest0VXjti9pb+B7wGuB+4F1wJIeiwaW\nRsRiSQuBC9PMpbCupFOBgyLi/ZIOBW6IiOcXtauVM5xO7r1TmDU+v19eUbnj1WzDq9RGL97ENg0a\nL1veK69MflnDWDQQEdslLQWuI1vafGluwCAiVkTEakmLJW0EngBO6lc3/fTHgI9Juh34OfC2fu1o\n5YBjZtYWw7rwMyKuAa7piq3o+r60bN0U3wacWLYNHnDMzBrMd4s2M7NK+F5qZmZWiTYNOF6lZmY2\nBYa1Su2iOHngekt1qZ/4WZVO7r1TmDU+v19eUbnj1WzDq9RGL97ENg0aL1veK69Mflltult0Kwcc\nM7O28KIBMzOrRJvO4YzczTslLZJ0l6QNkgqfu2Bm1gY7mDbwq6lGatFAei7D98g9l4Hdb88wOjtk\nZq01rEUD58b/HrjeMl04mosGJL0b+GREPFxBeyZS5pkOXjRQcXyqt+FFA6MXb2KbBo2XLe+VVya/\nrDYtGihzSO0Asie8XZkOZ9U5apZ5psOUed/Onbxv507n17iNnTvfx86d73vK5Dft77iJ/01UsQ91\n2sHeA7+aasIBJyLOAg4lu0nbO4ANkj4o6UVT3LaezSmTtCa9AO6ZuraYmQG7+pl83zMsbTqHU2oo\njIidkh4AtgI7gGcDn5Z0Q0S8Zyob2KXMMx04Or1/mezZqMPy13sNtsbiqZZfxTb22uuvn1L5Tfs7\nbuJ/E1Xsw0TG+pl83zMsTR5ABlXmHM4fk91y+iHgo8CfR8Q2SXsBG4AqB5ybgXmS5pI9l+F4YEmF\n2zczq1SbBpwJV6lJOhv4WETc26NsfkTcOVWNK2jPMcCF7Houw7ld5V6lZma1G9YqtT+Lcwau93f6\nq9FcpRYR7+9TVulgk7bZ87kMeZ3ce6cwa3x+v7yicser2YZXqY1evIltGjRetrxXXpn8spq8CGBQ\n7dkTM7MWatMhNQ84ZmYN5gHHzMwq0aYLPz3gmJk1WJvO4YzUvdTK8Co1M2uCYa1SOzkuGrjepVo6\nmqvURlEn994pzBqf3y+vqNzxarbhVWqjF29imwaNly3vlVcmv6w2ncMZuccTmJk9lQzr1jZlHu0i\naXkqv03SgonqSupI2izplvRa1G9fWjnDMTNri2HMcNKjXS4i92gXSau6Hu2yGDgkIuZJOhK4BFg4\nQd0ALoiIC8q0wwOOmVmDDWmVWplHuxwLXAYQETdJmiFpJtmt4vrVLX2uyIfUzMwabEiPJyjzaJei\nnIMmqHt6OgR3qaQZ/fbFq9TMzKbAsFapvTGuGLjeVVoybvuS3gwsioh3pe9vBY6MiNNzOVcD50XE\n19P3G4AzgLlFdSU9D/hh+olzgAMj4uSidrXykFon994pzBqf3y+vqNzxarbhVWqjF29imwaNly3v\nlVcmv6wy53B+tPYOHlp7R7+UMo926c6ZnXKmF9WNiAfHgpI+ClzdrxGtHHDMzNqizDmcGUe9hBlH\nveTJ73ef/enulDKPdlkFLAVWSloIPBIRWyU9VFRX0oER8YNU/03A7f3a6QHHzKzBhnGngYjYLmkp\ncB27Hu2yXtKpqXxFRKyWtFjSRuAJ4KR+ddNPny/pcLLVavcAp/ZrhwccM7MGG9aFn70e7RIRK7q+\nLy1bN8XfNkgbPOCYmTVYm+404FVqZmZTYFir1I6Kvs+b7GmtjvG91KrSyb13CrPG5/fLKyp3vJpt\neJXa6MWb2KZB42XLe+WVyS/LjycwM7NKtOnxBO3ZEzOzFmrTORwPOGZmDdamAceLBszMpsCwFg0c\nHt8YuN6teqUXDVSlk3vvFGaNz++XV1TueP3bdryZ8Sa2adB42fJeeWXyy/KiATMzq4QXDZiZWSXa\ndA7HA46ZWYN5wDEzs0q06RyOV6mZmU2BYa1Smx0bBq63WfO8Sq0qndx7pzBrfH6/vKJyx+vftuPN\njDexTYPGy5b3yiuTX1abDqntVXcDzMzsqaGVMxwzs7Zo0wzHA46ZWYPt2OkBx8zMKrB9e3sGHK9S\nMzObAsNapbbPEz8cuN7jz3yuV6lVpZN77xRmjc/vl1dU7nj923a8mfEmtmnQeNnyXnll8sva0aIZ\nTisHHDOztvCAY2Zmldi+rT0DTi3X4Uh6i6Q7JO2Q9LKusmWSNki6S9IbcvGXS7o9lX24+labmVVv\n5469B371ImlR6lc3SDqjIGd5Kr9N0oKydSX9maSdkvbrty91Xfh5O/Am4Cv5oKT5wPHAfGARcLGk\nsRNflwAnR8Q8YJ6kRRW218ysHtunDf7qImkacBFZvzofWCLpsK6cxcAhqY89hazPnbCupDnA64F7\nJ9qVWlepSVoD/FlEfDt9XwbsjIjz0/dryc6/3Qt8KSIOS/ETgKMi4g96/KZXqZlZ7Ya1So3v7xy8\n4ov2Grd9Sa8E3h8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+ "text": [ + "" + ] + } + ], + "prompt_number": 50 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "expmap = Maps.ExpMap(mesh)\n", + "m2to3 = Maps.Map2Dto3D(mesh,normal='Y')\n", + "imap = Maps.IdentityMap(mesh)\n", + "problem = DC.ProblemDC_CC(mesh, mapping= imap )\n", + "problem.Solver = MumpsSolver\n", + "try:\n", + " problem.pair(survey)\n", + "except Exception, e:\n", + " survey.unpair()\n", + " problem.pair(survey)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 51 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "phi0 = survey.dpred(sigma0)\n", + "phiInf = survey.dpred(sigmaInf)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 52 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "phiIP_true = phi0-phiInf" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 53 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# F = problem.fields(mesh, survey)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 54 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "surveyIP = DC.SurveyIP(srcList)\n", + "problemIP = DC.ProblemIP(mesh, sigma=sigma)\n", + "problemIP.pair(surveyIP)\n", + "problemIP.Solver = MumpsSolver" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 55 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 55 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "datasyn = surveyIP.dpred(eta)\n", + "surveyIP.makeSyntheticData(eta,std=0.02,force=True)\n", + "plot(np.c_[surveyIP.dobs,datasyn])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 56, + "text": [ + "[,\n", + " ]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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cDByj211a/AFmt9q0zDg5G1raT5Tj/iD2dHEBaoDWVkgPt3EmWlwcYsLSz5aO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\nWr/VaO7LdzSQq5RyK6WqgUXA1X55rgJeBVBKrQHiRCSpmbL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+ "text": [ + "" + ] + } + ], + "prompt_number": 56 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "problemIP.mapping = imap" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 57 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dmis = DataMisfit.l2_DataMisfit(surveyIP)\n", + "dmis.Wd = 1./abs(phi0)*1e3\n", + "reg = Regularization.Tikhonov(mesh,mapping=imap)\n", + "# opt = Optimization.InexactGaussNewton(maxIter=4,tolX=1e-15)\n", + "opt = Optimization.ProjectedGNCG(maxIter=3,tolX=1e-15)\n", + "opt.remember('xc')\n", + "invProb = InvProblem.BaseInvProblem(dmis, reg, opt)\n", + "beta = Directives.BetaEstimate_ByEig(beta0_ratio=1e-1)\n", + "betaSched = Directives.BetaSchedule(coolingFactor=5, coolingRate=4)\n", + "inv = Inversion.BaseInversion(invProb, directiveList=[beta,betaSched])" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 64 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "reg.alpha_s = 1e-4\n", + "reg.alpha_x = 1.\n", + "reg.alpha_z = 1.\n", + "reg.alpha_y = 1." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 65 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "opt.upper = Inf\n", + "opt.lower = 0." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 66 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "m0 = np.ones(problemIP.mapping.nP)*1e-10\n", + "mopt = inv.run(m0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "SimPEG.InvProblem will set Regularization.mref to m0.\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "=============================== Projected GNCG ===============================" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 5.74e+00 9.43e+01 4.96e-16 9.43e+01 1.69e+03 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 1 5.74e+00 7.46e+00 6.14e-03 7.49e+00 3.03e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 2 5.74e+00 3.18e+00 1.34e-02 3.25e+00 2.68e+02 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 3 5.74e+00 2.15e+00 1.83e-02 2.26e+00 2.91e+02 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 9.9700e-01 <= tolF*(1+|f0|) = 9.5290e+00\n", + "0 : |xc-x_last| = 4.8192e-02 <= tolX*(1+|x0|) = 1.0000e-15\n", + "0 : |proj(x-g)-x| = 2.9060e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 2.9060e+02 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 3 <= iter = 3\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "prompt_number": 67 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print mesh" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -541.97\n", + " y0: -416.97\n", + " z0: -548.22\n", + " nCx: 55\n", + " nCy: 35\n", + " nCz: 28\n", + " hx: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 41*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hy: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hz: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50\n" + ] + } + ], + "prompt_number": 74 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "colorbar(mesh.plotSlice(mopt, normal='Y', ind=17, grid=True, gridOpts={'alpha': 0.2, 'color':'black'})[0])\n", + "axis('equal')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 75, + "text": [ + "(-600.0, 600.0, -600.0, 0.0)" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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0RZymjDTVKF/RMhnNLLVRJAE1Wq11rNJRWbpbYlpteXts5HOCHt7leuFl9ysk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\nuaOlx+hyku0LZpFMCHk/cGY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+ "text": [ + "" + ] + } + ], + "prompt_number": 75 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# sigma_est = expmap * m2to3 * mopt" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 69 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dpred = surveyIP.dpred(mopt)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 70 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot(np.c_[dpred,surveyIP.dobs], '.-')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 71, + "text": [ + "[,\n", + " ]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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qQWQzgynKmQ1n8u5xfQXCZrQRnKaaEK5+F7WlmntJiMzOzT/sp3HOUNarqdva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\n56WfR+GpQk53nsbR7GDxi4t5+IsP884975A7I5eiFUUcevg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simpegDC/BaseDC.py rename to simpegDCIP/BaseDC.py index 76671433..3a853203 100644 --- a/simpegDC/BaseDC.py +++ b/simpegDCIP/BaseDC.py @@ -1,27 +1,70 @@ from SimPEG import * + +class FieldsDC_CC(Problem.Fields): + knownFields = {'phi_sol':'CC'} + aliasFields = { + 'phi' : ['phi_sol','CC','_phi'], + 'e' : ['phi_sol','F','_e'], + 'j' : ['phi_sol','F','_j'] + } + + def __init__(self,mesh,survey,**kwargs): + super(FieldsDC_CC, self).__init__(mesh, survey, **kwargs) + + def startup(self): + self._cellGrad = self.survey.prob.mesh.cellGrad + + def _phi(self, phi_sol, srcList): + phi = phi_sol + for i, src in enumerate(srcList): + phi_p = src.phi_p(self.survey.prob) + if phi_p is not None: + phi[:,i] += phi_p + return phi + + def _e(self, phi_sol, srcList): + e = -self._cellGrad*phi_sol + for i, src in enumerate(srcList): + e_p = src.e_p(self.survey.prob) + if e_p is not None: + e[:,i] += e_p + return e + + def _j(self, phi_sol, srcList): + j = -self.survey.prob.Msig*self._cellGrad*phi_sol + for i, src in enumerate(srcList): + j_p = src.j_p(self.survey.prob) + if j_p is not None: + j[:,i] += j_p + return j + + + class SrcDipole(Survey.BaseSrc): """A dipole source, locA and locB are moved to the closest cell-centers""" current = 1 loc = None - _rhsDict = None + # _rhsDict = None def __init__(self, rxList, locA, locB, **kwargs): self.loc = (locA, locB) super(SrcDipole, self).__init__(rxList, **kwargs) - def getRhs(self, mesh): - if getattr(self, '_rhsDict', None) is None: - self._rhsDict = {} - if mesh not in self._rhsDict: - pts = [self.loc[0], self.loc[1]] - inds = Utils.closestPoints(mesh, pts) - q = np.zeros(mesh.nC) - q[inds] = - self.current * ( np.r_[1., -1.] / mesh.vol[inds] ) - self._rhsDict[mesh] = q - return self._rhsDict[mesh] + def eval(self, prob): + # Recompute rhs + # if getattr(self, '_rhsDict', None) is None: + # self._rhsDict = {} + # if mesh not in self._rhsDict: + pts = [self.loc[0], self.loc[1]] + inds = Utils.closestPoints(prob.mesh, pts) + q = np.zeros(prob.mesh.nC) + q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] ) + # self._rhsDict[mesh] = q + # return self._rhsDict[mesh] + return q class RxDipole(Survey.BaseRx): @@ -53,7 +96,7 @@ class SurveyDC(Survey.BaseSurvey): def __init__(self, srcList, **kwargs): self.srcList = srcList Survey.BaseSurvey.__init__(self, **kwargs) - self._rhsDict = {} + # self._rhsDict = {} self._Ps = {} def projectFields(self, u): @@ -64,13 +107,7 @@ class SurveyDC(Survey.BaseSurvey): d_\\text{pred} = Pu(m) """ P = self.getP(self.prob.mesh) - return P*mkvc(u) - - def getRhs(self, mesh): - if mesh not in self._rhsDict: - RHS = np.array([src.getRhs(mesh) for src in self.srcList]).T - self._rhsDict[mesh] = RHS - return self._rhsDict[mesh] + return P*mkvc(u[self.srcList, 'phi_sol']) def getP(self, mesh): if mesh in self._Ps: @@ -82,9 +119,7 @@ class SurveyDC(Survey.BaseSurvey): return self._Ps[mesh] - - -class ProblemDC(Problem.BaseProblem): +class ProblemDC_CC(Problem.BaseProblem): """ **ProblemDC** @@ -94,6 +129,8 @@ class ProblemDC(Problem.BaseProblem): surveyPair = SurveyDC Solver = Solver + fieldsPair = FieldsDC_CC + Ainv = None def __init__(self, mesh, **kwargs): Problem.BaseProblem.__init__(self, mesh) @@ -143,13 +180,25 @@ class ProblemDC(Problem.BaseProblem): self._A = self._A.tocsc() return self._A + def getRHS(self): + # if self.mesh not in self._rhsDict: + RHS = np.array([src.eval(self) for src in self.survey.srcList]).T + # self._rhsDict[mesh] = RHS + # return self._rhsDict[mesh] + return RHS + def fields(self, m): + + F = self.fieldsPair(self.mesh, self.survey) self.curModel = m A = self.A - Ainv = self.Solver(A, **self.solverOpts) - Q = self.survey.getRhs(self.mesh) - Phi = Ainv * Q - return Phi + self.Ainv = self.Solver(A, **self.solverOpts) + RHS = self.getRHS() + Phi = self.Ainv * RHS + Srcs = self.survey.srcList + F[Srcs, 'phi_sol'] = Phi + + return F def Jvec(self, m, v, u=None): """ @@ -178,10 +227,9 @@ class ProblemDC(Problem.BaseProblem): sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ if u is None: # Run forward simulation if $u$ not provided - u = self.fields(self.curModel) + u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol'] else: - shp = (self.mesh.nC, self.survey.nSrc) - u = u.reshape(shp, order='F') + u = u[self.survey.srcList, 'phi_sol'] D = self.mesh.faceDiv G = self.mesh.cellGrad @@ -199,9 +247,12 @@ class ProblemDC(Problem.BaseProblem): # Take derivative of $C(m,u)$ w.r.t. $u$ dCdu = self.A # Solve for $\deriv{u}{m}$ - dCdu_inv = self.Solver(dCdu, **self.solverOpts) + # dCdu_inv = self.Solver(dCdu, **self.solverOpts) + if self.Ainv is None: + self.Ainv = self.Solver(dCdu, **self.solverOpts) + P = self.survey.getP(self.mesh) - J_x_v = - P * mkvc( dCdu_inv * dCdm_x_v ) + J_x_v = - P * mkvc( self.Ainv * dCdm_x_v ) return J_x_v def Jtvec(self, m, v, u=None): @@ -209,10 +260,12 @@ class ProblemDC(Problem.BaseProblem): self.curModel = m sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ if u is None: - u = self.fields(self.curModel) + # Run forward simulation if $u$ not provided + u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol'] + else: + u = u[self.survey.srcList, 'phi_sol'] - shp = (self.mesh.nC, self.survey.nSrc) - u = u.reshape(shp, order='F') + shp = u.shape P = self.survey.getP(self.mesh) PT_x_v = (P.T*v).reshape(shp, order='F') @@ -221,9 +274,13 @@ class ProblemDC(Problem.BaseProblem): A = self.A mT_dm = self.mapping.deriv(m) + # We probably always need this due to the linesearch .. (?) dCdu = A.T - Ainv = self.Solver(dCdu, **self.solverOpts) - w = Ainv * PT_x_v + self.Ainv = self.Solver(dCdu, **self.solverOpts) + # if self.Ainv is None: + # self.Ainv = self.Solver(dCdu, **self.solverOpts) + + w = self.Ainv * PT_x_v Jtv = 0 for i, ui in enumerate(u.T): # loop over each column diff --git a/simpegDCIP/BaseIP.py b/simpegDCIP/BaseIP.py new file mode 100644 index 00000000..efb9a811 --- /dev/null +++ b/simpegDCIP/BaseIP.py @@ -0,0 +1,182 @@ +from SimPEG import * +from BaseDC import SurveyDC, FieldsDC_CC + +class SurveyIP(SurveyDC): + """ + **SurveyDC** + + Geophysical DC resistivity data. + + """ + + def __init__(self, srcList, **kwargs): + self.srcList = srcList + Survey.BaseSurvey.__init__(self, **kwargs) + self._Ps = {} + + def dpred(self, m, u=None): + """ + Predicted data. + + .. math:: + d_\\text{pred} = Pu(m) + """ + + return self.prob.forward(m) + + +class ProblemIP(Problem.BaseProblem): + """ + **ProblemIP** + + Geophysical IP resistivity problem. + + """ + + surveyPair = SurveyDC + Solver = Solver + sigma = None + Ainv = None + u = None + + def __init__(self, mesh, **kwargs): + Problem.BaseProblem.__init__(self, mesh) + self.mesh.setCellGradBC('neumann') + Utils.setKwargs(self, **kwargs) + + # deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig'] + + @property + def Msig(self): + if getattr(self, '_Msig', None) is None: + # sigma = self.curModel.transform + sigma = self.sigma + Av = self.mesh.aveF2CC + self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma))) + return self._Msig + + @property + def dMdsig(self): + if getattr(self, '_dMdsig', None) is None: + # sigma = self.curModel.transform + sigma = self.sigma + Av = self.mesh.aveF2CC + dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2) + self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop + return self._dMdsig + + @property + def A(self): + """ + Makes the matrix A(m) for the DC resistivity problem. + + :param numpy.array m: model + :rtype: scipy.csc_matrix + :return: A(m) + + .. math:: + c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 + + Where M() is the mass matrix and mT is the model transform. + """ + if getattr(self, '_A', None) is None: + D = self.mesh.faceDiv + G = self.mesh.cellGrad + self._A = D*self.Msig*G + # Remove the null space from the matrix. + self._A[-1,-1] /= self.mesh.vol[-1] + self._A = self._A.tocsc() + return self._A + + def getRHS(self): + # if self.mesh not in self._rhsDict: + RHS = np.array([src.eval(self) for src in self.survey.srcList]).T + # self._rhsDict[mesh] = RHS + # return self._rhsDict[mesh] + return RHS + + def fields(self, m): + if self.u is None: + A = self.A + if self.Ainv == None: + self.Ainv = self.Solver(A, **self.solverOpts) + Q = self.getRHS() + self.u = self.Ainv * Q + return self.u + + def forward(self, m, u=None): + # Set current model; clear dependent property $\mathbf{A(m)}$ + self.curModel = m + # sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + sigma = self.sigma + if self.u is None: + # Run forward simulation if $u$ not provided + u = self.fields(sigma) + + shp = (self.mesh.nC, self.survey.nSrc) + u = self.u.reshape(shp, order='F') + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + # Derivative of model transform, $\deriv{\sigma}{\m}$ + # dsigdm_x_v = self.curModel.transformDeriv * v + + dsigdm_x_v = Utils.sdiag(sigma) * self.curModel.transformDeriv * m + + # Take derivative of $C(m,u)$ w.r.t. $m$ + dCdm_x_v = np.empty_like(u) + # loop over fields for each source + for i in range(self.survey.nSrc): + # Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$ + dAdsig = D * self.dMdsig( G * u[:,i] ) + dCdm_x_v[:, i] = dAdsig * dsigdm_x_v + + # Take derivative of $C(m,u)$ w.r.t. $u$ + + if self.Ainv == None: + self.Ainv = self.Solver(A, **self.solverOpts) + + # dCdu = self.A + # Solve for $\deriv{u}{m}$ + # dCdu_inv = self.Solver(dCdu, **self.solverOpts) + P = self.survey.getP(self.mesh) + J_x_v = - P * mkvc( self.Ainv * dCdm_x_v ) + return -J_x_v + + def Jvec(self, m, v, u=None): + return self.forward(v) + + def Jtvec(self, m, v, u=None): + + self.curModel = m + # sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + sigma = self.sigma + if self.u is None: + u = self.fields(sigma) + else: + u = self.u + shp = (self.mesh.nC, self.survey.nSrc) + u = u.reshape(shp, order='F') + P = self.survey.getP(self.mesh) + PT_x_v = (P.T*v).reshape(shp, order='F') + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + A = self.A + mT_dm = Utils.sdiag(sigma)*self.mapping.deriv(m) + # mT_dm = self.mapping.deriv(m) + + # dCdu = A.T + # Ainv = self.Solver(dCdu, **self.solverOpts) + # if self.Ainv == None: + self.Ainv = self.Solver(A.T, **self.solverOpts) + + w = self.Ainv * PT_x_v + + Jtv = 0 + for i, ui in enumerate(u.T): # loop over each column + Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] ) + + Jtv = - mT_dm.T * ( Jtv ) + return -Jtv + diff --git a/simpegDC/Examples/Verification.py b/simpegDCIP/Examples/Verification.py similarity index 97% rename from simpegDC/Examples/Verification.py rename to simpegDCIP/Examples/Verification.py index b331e955..36a9cf36 100644 --- a/simpegDC/Examples/Verification.py +++ b/simpegDCIP/Examples/Verification.py @@ -1,5 +1,5 @@ from SimPEG import * -import simpegDC as DC +import simpegDCIP as DC import matplotlib.pyplot as plt @@ -26,7 +26,7 @@ def run(plotIt=False): rx = DC.RxDipole(xyz_rxP, xyz_rxN) src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5]) survey = DC.SurveyDC([src]) - problem = DC.ProblemDC(mesh) + problem = DC.ProblemDC_CC(mesh) problem.pair(survey) try: from pymatsolver import MumpsSolver diff --git a/simpegDC/Examples/WennerArray.py b/simpegDCIP/Examples/WennerArray.py similarity index 96% rename from simpegDC/Examples/WennerArray.py rename to simpegDCIP/Examples/WennerArray.py index 50041861..ab226ae0 100644 --- a/simpegDC/Examples/WennerArray.py +++ b/simpegDCIP/Examples/WennerArray.py @@ -1,5 +1,5 @@ from SimPEG import * -import simpegDC as DC +import simpegDCIP as DC import matplotlib.pyplot as plt @@ -55,7 +55,7 @@ def example(aSpacing=2.5, nElecs=10, plotIt=False): srcList = getSrcList(nElecs, aSpacing, in2D=True) survey = DC.SurveyDC(srcList) - problem = DC.ProblemDC(mesh) + problem = DC.ProblemDC_CC(mesh) problem.pair(survey) return mesh, survey, problem diff --git a/simpegDC/Examples/__init__.py b/simpegDCIP/Examples/__init__.py similarity index 100% rename from simpegDC/Examples/__init__.py rename to simpegDCIP/Examples/__init__.py diff --git a/simpegDC/Tests/__init__.py b/simpegDCIP/Tests/__init__.py similarity index 100% rename from simpegDC/Tests/__init__.py rename to simpegDCIP/Tests/__init__.py diff --git a/simpegDC/Tests/test_forward_DCproblem.py b/simpegDCIP/Tests/test_forward_DCproblem.py similarity index 94% rename from simpegDC/Tests/test_forward_DCproblem.py rename to simpegDCIP/Tests/test_forward_DCproblem.py index c06eec47..de50be9b 100644 --- a/simpegDC/Tests/test_forward_DCproblem.py +++ b/simpegDCIP/Tests/test_forward_DCproblem.py @@ -38,8 +38,8 @@ class DCProblemTests(unittest.TestCase): u = np.random.rand(self.mesh.nC*self.survey.nSrc) v = np.random.rand(self.mesh.nC) w = np.random.rand(self.survey.dobs.shape[0]) - wtJv = w.dot(self.p.Jvec(self.m0, v, u=u)) - vtJtw = v.dot(self.p.Jtvec(self.m0, w, u=u)) + wtJv = w.dot(self.p.Jvec(self.m0, v)) + vtJtw = v.dot(self.p.Jtvec(self.m0, w)) passed = np.abs(wtJv - vtJtw) < 1e-10 print 'Adjoint Test', np.abs(wtJv - vtJtw), passed self.assertTrue(passed) diff --git a/simpegDC/Tests/test_forward_DCproblem_analytic.py b/simpegDCIP/Tests/test_forward_DCproblem_analytic.py similarity index 99% rename from simpegDC/Tests/test_forward_DCproblem_analytic.py rename to simpegDCIP/Tests/test_forward_DCproblem_analytic.py index d4677bef..3e104e5b 100644 --- a/simpegDC/Tests/test_forward_DCproblem_analytic.py +++ b/simpegDCIP/Tests/test_forward_DCproblem_analytic.py @@ -8,6 +8,5 @@ class DCAnalyticTests(unittest.TestCase): self.assertTrue(DC.Examples.Verification.run() < 0.1) - if __name__ == '__main__': unittest.main() diff --git a/simpegDCIP/Tests/test_forward_IPproblem.py b/simpegDCIP/Tests/test_forward_IPproblem.py new file mode 100644 index 00000000..f108be6b --- /dev/null +++ b/simpegDCIP/Tests/test_forward_IPproblem.py @@ -0,0 +1,57 @@ +import unittest +import simpegDC as DC +from SimPEG import * +from pymatsolver import MumpsSolver + +class IPforwardTests(unittest.TestCase): + + def test_IPforward(self): + + cs = 12.5 + nc = 500/cs+1 + hx = [(cs,7, -1.3),(cs,nc),(cs,7, 1.3)] + hy = [(cs,7, -1.3),(cs,int(nc/2+1)),(cs,7, 1.3)] + hz = [(cs,7, -1.3),(cs,int(nc/2+1))] + mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN') + sighalf = 1e-2 + sigma = np.ones(mesh.nC)*sighalf + p0 = np.r_[-50., 50., -50.] + p1 = np.r_[ 50.,-50., -150.] + blk_ind = Utils.ModelBuilder.getIndecesBlock(p0, p1, mesh.gridCC) + sigma[blk_ind] = 1e-3 + eta = np.zeros_like(sigma) + eta[blk_ind] = 0.1 + sigmaInf = sigma.copy() + sigma0 = sigma*(1-eta) + + nElecs = 11 + x_temp = np.linspace(-250, 250, nElecs) + aSpacing = x_temp[1]-x_temp[0] + y_temp = 0. + xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.]) + srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing) + survey = DC.SurveyDC(srcList) + + imap = Maps.IdentityMap(mesh) + problem = DC.ProblemDC_CC(mesh, mapping= imap ) + problem.Solver = MumpsSolver + problem.pair(survey) + + phi0 = survey.dpred(sigma0) + phiInf = survey.dpred(sigmaInf) + + phiIP_true = phi0-phiInf + + surveyIP = DC.SurveyIP(srcList) + problemIP = DC.ProblemIP(mesh, sigma=sigma) + problemIP.pair(surveyIP) + problemIP.Solver = MumpsSolver + phiIP_approx = surveyIP.dpred(eta) + + err = np.linalg.norm(phiIP_true-phiIP_approx) / np.linalg.norm(phiIP_true) + + self.assertTrue(err < 0.02) + + +if __name__ == '__main__': + unittest.main() diff --git a/simpegDCIP/Tests/test_sens_IPproblem.py b/simpegDCIP/Tests/test_sens_IPproblem.py new file mode 100644 index 00000000..d095ab09 --- /dev/null +++ b/simpegDCIP/Tests/test_sens_IPproblem.py @@ -0,0 +1,80 @@ +import unittest +from SimPEG import * +import simpegDC as DC +from pymatsolver import MumpsSolver + + + +class IPProblemTests(unittest.TestCase): + + def setUp(self): + + cs = 12.5 + nc = 500/cs+1 + hx = [(cs,0, -1.3),(cs,nc),(cs,0, 1.3)] + hy = [(cs,0, -1.3),(cs,int(nc/2+1)),(cs,0, 1.3)] + hz = [(cs,0, -1.3),(cs,int(nc/2+1))] + mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN') + sighalf = 1e-2 + sigma = np.ones(mesh.nC)*sighalf + p0 = np.r_[-50., 50., -50.] + p1 = np.r_[ 50.,-50., -150.] + blk_ind = Utils.ModelBuilder.getIndecesBlock(p0, p1, mesh.gridCC) + sigma[blk_ind] = 1e-3 + eta = np.zeros_like(sigma) + eta[blk_ind] = 0.1 + + nElecs = 5 + x_temp = np.linspace(-250, 250, nElecs) + aSpacing = x_temp[1]-x_temp[0] + y_temp = 0. + xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.]) + srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing) + survey = DC.SurveyIP(srcList) + imap = Maps.IdentityMap(mesh) + problem = DC.ProblemIP(mesh, sigma=sigma, mapping= imap) + problem.pair(survey) + problem.Solver = MumpsSolver + + mSynth = eta + survey.makeSyntheticData(mSynth) + + # Now set up the problem to do some minimization + dmis = DataMisfit.l2_DataMisfit(survey) + reg = Regularization.Tikhonov(mesh) + opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6) + invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4) + inv = Inversion.BaseInversion(invProb) + + self.inv = inv + self.reg = reg + self.p = problem + self.mesh = mesh + self.m0 = mSynth + self.survey = survey + self.dmis = dmis + + def test_misfit(self): + derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)] + passed = Tests.checkDerivative(derChk, self.m0*0, plotIt=False) + self.assertTrue(passed) + + def test_adjoint(self): + # Adjoint Test + u = np.random.rand(self.mesh.nC*self.survey.nSrc) + v = np.random.rand(self.mesh.nC) + w = np.random.rand(self.survey.dobs.shape[0]) + wtJv = w.dot(self.p.Jvec(self.m0, v)) + vtJtw = v.dot(self.p.Jtvec(self.m0, w)) + passed = np.abs(wtJv - vtJtw) < 1e-10 + print 'Adjoint Test', np.abs(wtJv - vtJtw), passed + self.assertTrue(passed) + + def test_dataObj(self): + derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)] + passed = Tests.checkDerivative(derChk, self.m0, plotIt=False) + self.assertTrue(passed) + + +if __name__ == '__main__': + unittest.main() diff --git a/simpegDC/__init__.py b/simpegDCIP/__init__.py similarity index 63% rename from simpegDC/__init__.py rename to simpegDCIP/__init__.py index 3d0e1144..b4fcc915 100644 --- a/simpegDC/__init__.py +++ b/simpegDCIP/__init__.py @@ -1,2 +1,3 @@ from BaseDC import * +from BaseIP import * import Examples