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October 17, 2018 06:56
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Normalizing Flows
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "Normalizing Flows", | |
"version": "0.3.2", | |
"provenance": [], | |
"collapsed_sections": [], | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"accelerator": "GPU" | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"[](https://colab.research.google.com/gist/NTT123/52be47fa271d52ae51589d50ef1a816c/normalizing-flows.ipynb)" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "T0LoqxLfnCuA", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# Simulated data" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "JXZZ19SoBt8D", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Setup" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "T4nzy4DwIm1Y", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 156 | |
}, | |
"cellView": "both", | |
"outputId": "0be29c41-71fb-4a6e-b122-f0ef2ed8f1fb" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#@title\n", | |
"! pip install torch_nightly -f https://download.pytorch.org/whl/nightly/cu92/torch_nightly.html\n", | |
"\n", | |
"import torch\n", | |
"import torch.nn as nn\n", | |
"import math\n", | |
"import random\n", | |
"import time\n", | |
"\n", | |
"import sys\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"from pylab import rcParams\n", | |
"rcParams['figure.figsize'] = 5, 5\n" | |
], | |
"execution_count": 2, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Looking in links: https://download.pytorch.org/whl/nightly/cu92/torch_nightly.html\n", | |
"Collecting torch_nightly\n", | |
"\u001b[?25l Downloading https://download.pytorch.org/whl/nightly/cu92/torch_nightly-1.0.0.dev20181014-cp36-cp36m-linux_x86_64.whl (575.3MB)\n", | |
"\u001b[K 100% |████████████████████████████████| 575.3MB 26kB/s \n", | |
"tcmalloc: large alloc 1073750016 bytes == 0x620f6000 @ 0x7f96ff9a32a4 0x594e17 0x626104 0x51190a 0x4f5277 0x510c78 0x5119bd 0x4f5277 0x4f3338 0x510fb0 0x5119bd 0x4f5277 0x4f3338 0x510fb0 0x5119bd 0x4f5277 0x4f3338 0x510fb0 0x5119bd 0x4f6070 0x510c78 0x5119bd 0x4f5277 0x4f3338 0x510fb0 0x5119bd 0x4f6070 0x4f3338 0x510fb0 0x5119bd 0x4f6070\n", | |
"\u001b[?25hInstalling collected packages: torch-nightly\n", | |
"Successfully installed torch-nightly-1.0.0.dev20181014\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "iX1UTz66yJGJ", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Circles" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "Vgk-x2MkKHSh", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 320 | |
}, | |
"cellView": "both", | |
"outputId": "94744498-d9d8-4f44-9ea8-83ed2ea74bc3" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#@title\n", | |
"# Normal Circles in 2D\n", | |
"class NormalCircles:\n", | |
" def __init__(self, num_circles, dist = 1.0):\n", | |
" self.N = num_circles\n", | |
" self.loc = torch.empty(num_circles, 2) # locations of modes\n", | |
" self.dist = dist # distance between modes\n", | |
" \n", | |
" for i in range(num_circles): # init loc on the unit circle\n", | |
" theta = 2*math.pi / num_circles * i \n", | |
" self.loc[i, 0] = math.cos(theta)\n", | |
" self.loc[i, 1] = math.sin(theta)\n", | |
" \n", | |
" def draw(self, n_samples, ):\n", | |
" raw = torch.randn(n_samples, 2) / self.N / self.dist\n", | |
" cat = torch.distributions.Categorical(torch.ones(self.N)/self.N)\n", | |
" idx = cat.sample( (n_samples,) )\n", | |
" return raw + self.loc[idx]\n", | |
" \n", | |
" \n", | |
"circledata = NormalCircles(8, 1.0)\n", | |
"samples = circledata.draw(10000)\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"_ = plt.scatter(samples[:,0].numpy(), samples[:, 1].numpy(), s=2, alpha=0.5)" | |
], | |
"execution_count": 3, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
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QP15eXuYHP/gBoihy8uTJXbd98MEH/Pmf/zn/8A//QLlc5vTp03d9rG5XfdDDeKpZLdiG\nLeBzEw9773r73Fh49FMQhM/9GF8EtgJLh2jQgyAIrOTb/PsnW3glkVZPY73YRjdMjs0lycT9fHyt\nRKXVwzBhOhOm0ephmCaGCaYFqm4hYNBWNDxuEU3T2bsfaThNUq73MCzQTRAEi4Fm4hLB65GQexq9\ngYZpWvyHU1Pb2+kUfB6JRmdgGw4BCjWFoN8DwCfLZRZnEjx7MDX64vF5JJqySjToGf1b0O9mYSKy\n61o8qnM4fI57XdNhIWdpo/GlXv8nmWDw7ufkgcPhbrfLT37yE1599dV9b/+rv/or/vZv/5ZsNsuf\n/Mmf8J3vfIeDBw8+6NN9ZblX+8XecHO/sOtJaOEYjpx988QE1XafVMSH3FM5u1wm5Hfz4pEsEylb\nXPW//tsSyYiPxbkEU8kgWxWZaNiHS4JKU8PiVojS7mlIooBbEulpt6xg2O9iJhPC73Xj9YioPROX\nAGPJIGG/hihAMuIjV+0SCXhQ+jqCxbbcVhDTMPnvH6wR9En29Mj2hMhK3s41TqSC++47tkPvW2s/\n75c7ibnu1Tjce013yoUN1bXBrs7nq8qoIf1x8CSmYR4lD2wEPR4Pb7/9Nm+//fZtt21ubhKNRhkf\ntxU83nzzTT788EPHCO7DnQzb3W7f+aYEnog36NAZurJe58panTefmxxVYtkuHmyUZf7lzBrnr1c5\neTCJiIBpWnyyXMY0TebHoij9Or2+iSiCiIjc1/C6RVTNJBYQUHULVYVu3+DGVovvvT6HKMLyRgPd\nMDENg5ai0unq5GpdRBHiIQ+qbnL+ZpW5iSgLExFubLUIeCWSER+maXFgcqfAq13gGVa2hwvcBUEY\nGaoXjmQe6HzvV1S5U3/lzuu+d1PeTp1G2D8n+6j4qqvsPLARlCQJSdr/zyuVColEYvR7IpFgc3Pz\nQZ/KYQ8735TAE/EGnR+P8O0XpplIBBAEgZePZvF4XIBtTN6/WODqWp1EyEs2GSTsd/PPH6xyajFD\nb2CCAFfW6gxUk4BPwO9xUW0NQLQfe63QxkBEEC10DLDsqvE/vb9GPOSxDYAl4nZLxMJeEGA84Wel\n0KHT0/G6XUQCbqZSwW2DZm+oW9ps8M65HKVGbyTwKooCnyyVR8KtwC5juNNDvF/2K6rcrbg0vG8m\n5ufN5yZHm/K+SMP0JEQajxOnOvwEc69NbcPphqFKy+d5vMelnDw0Eje2WlRbPTbKMgenoiMD+NGV\nAk1ZBSz+w3OT6LoBQhUJyMR9KD2VrbKCboKqWXjdAoYFIa+LkwtJJtIh8pUOqqrR12AwGFDvGFim\nXeB4di7BueUqum4y0HQ0w6Q/0An53EykAih9ndVChzNXSpimyfuXivwvr89jTES5mW+yVW6zVgze\nJt2/dy/K0AA+qPe9nzG9VzSwVuxw4WaVF45kRqHwzmO8mWvtuqbDQsnQC997re83vL3X8T3tPBYj\nmMlkqFaro99LpRKZTOZxPNVXms/zbT/s01srdnZ5KPuFy1/EDg3LsvUBc1W7p+7MlRJX1+r0VYN4\n2Ec6GuCVY1lM06La6hMLe4hFfGCZyF2NWrtHMuKjMWqVEThzpYjc1TGxq7591UDTDCwLYkEJlwDn\nlquousHkWBhty6StqLQUnWPzCb7xzDhbDYVWs49pmrz3WY58TeEf37uBZdp5x1ePjd82Mnen8/+w\nXtjnWUew87b9PLGhYVrJt/nlp1tYlkWxnuS142OsFTu8c26LTk8FC/7wGwujL6Q77Vf5OvNYjODU\n1BSyLLO1tcXY2BjvvPMOf/M3f/M4nuorw53e/MNxtKHnALs/hKPwaluh+a1TUwiCsG+4PJMJjdZQ\nPq7QRgB6A4Nr6w1cokiuIpOO+Xnz5ARXNhpouslqoc2l1TqrhRYb5zt43XbRw+MSefXkJNmon//x\n2zXmxmy1mOXNBgPNIBb0MpUOsFZS6PUNDKDd12n3dAQBJJdAsSJTbvZYmIgR9ruZHQvzrx+tY1nQ\nUzUCFZnXj09wYaVKqd5HFCy8bhfH5hKIonCbAvXOn0MeNDz8PEZoPwN7N09seE0Ny44IVvJtBAHe\nfHaSfFXm0+sV2H4P2eOAyqgB/Ksa3t4vD9wic+nSJX70ox/x0UcfcfHiRX7xi1/QarWoVqscOHCA\nw4cP8+Mf/5h//Md/5Lvf/S5vvfXWXR/vq9wio+smH1wqMpEM3jH8uL7Z4r//ZoVU1E8y6gPsZuOm\nrPLpcoWAz0006GG10GEqFaTd1XhmLoHLJRIPe6l3BqwV28yNRZgfjxDwuZnJhGh0Bkykgsxmba+s\nUOsylQmR2C4IrBY6hP1u1oq32lsehnpnQLnRZXE2zlg8gAVslNp0BwaabjCZDtNSVN7/zN4V0lcN\nDBO6A5O+ZuJzC3gkF+PJIOVGn+tbLdTtvj+5b1Cq9+n0DYYdcQGvSMArYZgmPQ0ELBJhH/PZCEub\nTYq1LppukIz60HWT3kDj1eMTfOf0LB6Pi2jQg+RyEfS7mUwFacoDxhLBUZN0POy97ZwIwv7/fi+G\nrUwTqeComrv3MaJBz75tUEOG18zvdvGzD9aQRIGb+TaLM3Em03ZK5NPlClOZEOGAh3xNYX48SktR\nubZex+N28eKRDO2uRix0/6/haeSxtcgcP36cn/70p3e8/aWXXuLv//7vH/Thv1J8cLnILz7awLQs\n3nh2Yt/7lBpd6u0BpUaXg1PRkVc4NxbGMEy2yjKGYXL+RpV8NUi+KnPmCqMNa0Oh0J2D/mvFzqiS\nuVGWyVU6u5aTD72OnXOxDxsezY2F7V7AmJ8LN6uMJex8HM0emXhgW1argIDdD3h0Lsl6sY3kEvC6\nRSrNPjfzHZ47mKQh99EMkESIhb20lAG6aU+TuF12H+Ch6RixsI/3LuQAi1pLpd6yw/Hj80lSUR9L\nmy1ME+bGIixttTBNk42yzHQ6RLneJZsIkK8q/OyDNTTd5MXFB6v87uVuajR3y9HttxsZYLXQZrMi\ns7zRRBQsLtysYRjmLq9uJd/e1b4jitOj/89XbRXtj66VnTnoHTxUs/Sj5KvsCWqawWZF5sXDaWJh\n766mYrDf7KpmMpYM8OozY6yXZM5eK1PfHv/KV7v8+nwOy4JjswnWCm1ScT+leo+WorK00aClaJxY\nSLJekvdtro6FvLQUjWZnQLurMZUOEQt5CfjcPDOXIOi/s/fxeTFNiw8v20rSk2nb2zk2a4dqpmVR\nafbIVRXWSx2qrR59zcDrFinUFDTNJBbyUu/Ys78LE1FKjR6RoIdE2M140k++2sc0wS0JWIDcN2m0\nunaxZ7uF0CvBwLAbp+vtHgPNIuCXeO5gGr/fzfJGE0kSyVUVUhE/9c6A3zs9Q3u7oTsccHP6aPaR\nGITVQoez10o0ZZWpdGiXZ3m3xuhhYePCjQr/emaNdMTPby4XubRaY63QoaWojKUCqKrBt56f4tB0\nDEEQWC10+HS5wngySEtRiQQ8o59rxQ4Br8RkOsix2fgoktj5fvmqNlrfyxN0jOAjZO/UxJBY2GuH\nWBORfScBVgu2x3ZkJk4y6iMa9NCUVa6u11krdjixkARBsPNpxTYfXyvhkUROL2bpdFWCPjeFmkJL\nUTk6E98VKg8/ZLGQl+lMiJaikq8qBHxuEhEf8bD3jmHf/b7W1UKHpY0GE6kQJw8kSUR8I4NeafZo\ndHpUmj1ms2G8Hjvfl6sq9AcG8YgPjyRSbWuouoXbBe2uRkdRqcs6lWYfn1sg6JfoDUzU4SSdAKoB\nhmXvI94eACHsd5EIefD5XLhdLv7oGwvMjUXweFwsjEVGkyPvXyzg2zYOl1br6IZJMup/JAZheB2H\n53to4FYLHertwSjNsXcSaCXf5p/eX+GjayVqzT6tnspGsYNLFHj2UIp6q49hWMyNRxlPBIiFvVgW\nNDp2KA92SNxSVJY3mzTkAe98ukW+pnBgMka7q7G82STot1MmLUXlme2c6FcRxwh+gdxpfG1nDmln\nzsey7L+ZyYRGb8i1YodIwIOqGrS7Gi9u7+XNxv1MpEJ84/g4pUYXTbeQeyq/Opfj4HSUWMhHvqrQ\n7moUagp+rz0WdnG1xsdXS8RCPpJRH1Pp0F1zTg/zWqNBD36vRMjv3vV642EvByeiNDoq1Vaf8WSA\n+Yko0aCHy2s1okEv33l5lol0kCurdSygragYpsnByQhyd4CAHf6G/G5aXXvAOOAWmBsLUWvfeu/E\nQ24Cfje/9/IsDUWjpWjkKjKGYXF0PsFWReF6rsVkOkTI72az3OHUIXsR+6GJKD6fm+Pzj8YgCIIw\nOt/Dazs0fhOp4MhgRYO2xxYL2cbs8lqd65sNlJ5G0Cfx0rEM68UOna5KIuTjjWcn8fvcbJRk1kod\n4mEvV9cb27JgoVFOeOjhh3wS+VqXxZkEJw8kRx7iM3MJNsryyCA6nuCXzNNuBHXd5PJancOTUebv\nMk+60yAODclwBnWt2OHstTI3ci0+ulZitdDB43ZxZb3OaqGNzyNhAdPpEFfW6yPFlFjYy4HxCGw3\nKYcC9gzsLz/d4upaDQuLSND2BEVRGHmHD1MI2S+BPyzkfLJU3hUCJiI+2l2NSrMHwEDVWS/JjCUD\n1Dp9vvXcFK89M06+ahdUggEJVTUwLYvjB1KIgoBumCh9HaWv43GBZ7uAMpmNICt9MC2OTEcYSwTI\nVRRSMS+bZYW20se04PnFDIVql1xFZjId4sSC7amOJYMgCJy7XkEURYr17iM1CMMvgg8vl2w9xVSQ\n8WRw2MLHJ0sVbuRabJVl/F6JK2t1rq7Vef5QmmwiyLMH0/z2asneficI+L1ugn43Lx3JsFWRmUwG\nafc08lUZt0skFfHRVFRms+FRrjgesaMLuWenQXYavjvNo3+VcIzgF8QHl4r8+nyOVCzA7OdsPdjr\nFdbbAywLWnKfQ1NxDk7GeOv5SRIRHz6PxNX1BmtF2xjm63YYGQ16aMkDrudadHoaqZifmUyIS2t1\nLNNOlI0nQ2yW5ZHHsTMUe9AP+50qpGG/mxu5Ns3OYJcxCfvdXN9qUm31MEwL04LeQMfnkUjFAly4\nUeXsUplD03H+4JU55K7GycNpIj4P+aqMqpkkIl4EIBUL8L99+wjVdo9itUfI78bjceH3SmyWFfqa\n3ZPYV3WeO5zh9LExREQKNZnxVIiJVHB0XE3ZNhhB//3lRu+U+tiP1UJnVJk9fTRLu6vx6XKFsUTQ\n/uLo9Eee6W+vFNiqyMxNRLaNuZ/Th+0vtt87PUsoYKc+bubb/PZKiVJDodbukwj7WC22uHCzSrnZ\nY6CZLG828XkkWopKriLzP89u0lZUTh/Njl7nnVIh9/P6nnQcI/gFMZEMIrrEUY5mZ9Fj+GYahr/D\nlpRYyEsi4tvlFYYDHuayEdZLbXxulz3iJQqcWEgSD3nxeiROL2aoNPs05cGoVWRuLMLpo2MsTET4\n8HKJX3y0wUA3mM5EOD6fYKPcweuWWN5sAnBoKsb8+KNTQBmyVuywVb7lbQ0ff3mjyc/eX6Hc7NHp\n6wxUnZaikY77KTd6lBpd/F4Xv396lv/r35e5tNagXJdR+gZyT6PSHPD84TRyV6XQ7JErd1gry7QV\nncWZGN9//QAD3cTrFpnOhIkEveSrCs8upJFcItc2GoT9HhbGI/zqfI542EtLUXd54veTG90vHbDX\ncAx/n8nYu1NasrrL+5ofjzC53e70yrEsiYiPjZLMelkmHvJSbfVpKyqhgIf/eHqGTCLAZCpIQ1aR\nRLtRfiIVwut2MZ0JsVJo4/e6efZAmlefGcPvlSjUFJY3mwR8EquFFj1VYywZ4sBk9K6vc/j6dqrn\nPK3G0DGCXxCiaIds75yzP2CJiN3rt/PDMgwVhwnrYe/fLS04ezXk+Rtlzlwqs5xrslGWqTR7xMM+\nio0e+arMSr5NpdVjIhnkGycmiId9tJQBgiCgGxaL0zHkvsZ8Nsy1zQaHJqP4PRI6FhG/21Z6TgS4\nti13/ygT4kPv9sRCctfjvnshz9X1OkGfxLG5BN97dZ7JdIjvnp4hv70AvSWrLOeabJZllJ5GrTWg\nN9Dp9lXCfg/jyQDnr9dRdQulp43abCJBN26vi99eLvLiYpbnDqXJVWQsLNJRH58sl2nKfURRQO7r\nKD0Nr0fi+PyDV8X3SwfsvNbRoGckcRX0ezixkBzdf2hsLQt+c6nI1fUG8bCds3W7RPJVhTdOTrA4\nm8DvlchVFG7kWhyajLJRlvm0k158AAAgAElEQVToapHzN2o0Oj38HpGpTAS3JLJWaJKOBjg2lyAV\n82/3BtZQ+jqL03FyNQVBFFiciY/en3fy+IavD7itT/VpM4iPrU/Q4Xasbbds2OIwkwlhmtauvi3T\ntMCyGEsEmMmE+M3FAh9fKxHwusjEgmSTATbLHbwekbG4n5ePZplIhvjsZhVVM/F6JMoNhc2yDFhI\nLgHNNOl0VbYqRcIBD8fmkmi6yYWbNfIVhUurNZY2W3T7Gt95eZYXjmS4cKPK5dU6YKuSPCr2TjcM\ne91+/+VZABJhL+VmH7/fzRsHktzM2bPGrx4f4+JKDbdL4NThNKZpsbTZJOiTWMm3mc76SUcDeDwi\ngmZycCpCrTOgLasUqgq5qkJb0VnNt5gbj+D1uCg3evyqlSce8fLNk1MAXNuoIUkurqzWME2LqXTo\ntj69zzNbu98Ux84+wL0SVztnhofzyGtFO0xW+vpItUYQBP7o9QVms2HWCm1UwyBXlSnUFZJhL68/\nO8HB6RjXNxu4RAG3JFFp9ji3XKGpaLS6DUrNLq+dnEAwLfsLptZjYTzC7788x5X1OtPpW3PmdxoB\n3Kuec7cxwqcdxxN8SHZOXbQUlbkxO8Qctihc32oykQqNwt6mrPLJcgXDsvh0qcwn18qomkEo5OWz\nlRqHJ6OcOpRms9pB6ekU6wpXN+pcWqkgSS7+1zcPcnWjQcjv5vBMnHM3Krx7Pke11ce1rYDyB6/M\nsVbqcCPXwuO2PZ7eQCcZ9fGfXpmj09PYLMuMp4J8+9TULl27R/1NPwrzgx5eOzHOTPZWIt4wLN69\nkEfuaXS6GrmKgmFaHJ1LkKsqvHgky/dfX6DSshe5n1hIM5MNM5EKMj8W4bMb9nz6TDbM4Zk4vYHG\nc4fSfLpcZSJlr9REEHjhSJY3npvAtCwurzXoDww626s98zVllD8bhrb3K1I7PG870xv7VcqHo2vX\n1hujdqa+ZvLcgSTFRg9VNXjnfA6fx8VgoPO3/3qVSytVKo0elmWRivqotwZUmj3KjR7xsJdo0Esq\n6qM30JjJhDgwGaPa6rK80eCzmzVqrT6mZYvZ9jWDj64WaSmaveJgR7fCsHq999rfqbPB8QQdRuyd\nutipB7dzOc+QubEwm+UO//PjDTpdFdOEbCJAIuBB00wqzS71zgDDgEw8QK4i01I0DAuWNhr8Hz+7\nSK2tcmAyAqbJhetVPJLA4akoGxWF61tNfnZmDRE4eTDF8wdSLExGkSQX+arMVlW5bfZ1p2eyc272\nUUwSDLfRDadUdnpQH1wqcnm1zmQ6SMAr8cKRDMdm4lxatz3UyXTQ7uubjPKbz/K2UUNgrdhmKhUk\nuv3mFkQRpWfwe6/MMxb3c2m1zvltA+lyiaOq+Px4hD/8xjyGYSFue17FZo/Ti5nReRnOaZ86nN5X\nReZu7wHYPe9rfxmWR6/Z9g5lPG4X+arCmSslljYblEMezlwpEQu6MS17LYHkEuj2NbIJP24Rqm2V\niys13mnlyMR8BH0SHslFtT3g4GSEakslHPAymbKLYKVak7DfzakjY6RitpjtTDZMpdlD1QzWip1R\nHnRhIsLNXItffrrFt56bRHSJ+77mr6qajGMEH5KdkkZ7Dd5+IZAoCgjbYqIz2QjT6QDpqL2EKOSX\nOHe9Qjzs4/hCkmMzcf75zCoLkxJLG03knkG1bbd8aLrJ+RsV+gMDr1vi5vYkAcBGoclKoUM44OXU\noTSSJI7URfaOZq3k25y9Zhvx04sZ8tXgyCt4FKHPUOVmvdS5bTPb6cUMpbpCLOjB5RJHDcznliuc\nOpTeLiS1Obdcod3VuLrRYL3UZrOi2J5t3M+pg2kQBNIRH0sbDWIBD88fTGEKMBELUGn3mU7fLjc1\nfO2lepetqrLrfOwcNfw852A/QYXhjpXnD6VHxnW4c2UoMKtpBmeXSlimSbev2gWIgIuJdJj/8voB\nWvKA8VSAG1st6h0NoaNhYs9nC4JAyO8mGfWzWuzQVgZ0B34yMT9uUWCgQxAYS4RAEPj0enVUYBOE\n2yW4hqmcfL1rt+M85HV/mnDC4YdkGC7srCzuFUPYOT41kQyiGyaSKKLpBtdzLRqyymqhRbur0etr\n+DwuMlE/fc1gvSTT7Ws0ZZWAz8ULh5Lkqz1mMn4urzXxeWAyHSYV8dJXDbp9E003MUwTURDwul24\nJZGWojKdDnHmSmlXMSQa9NDoDLi6XkcZ6HyyVCYdC7AwEXkkoc8whNJ1k599sEo65h8VDTTd5ONr\nJc7frLFRktmsdEhF7SmTdMxPoSZjWQLPHUwzlQnx1vNTZKJ+JJdAOurjjROTRMM+buZb3Mi3ePez\nPJ+tVOkOdLp9naDfQ7Hepd3V+PhaibViezQls/PYdr7Gnf82HCu82zm4U/5wOMI2kbJH2BqdW03S\n7a4dul7baFKoK0gukXDAgyBYuCWJZkel1OyytNlgaaO93epkMdwuMJbwI7lcvPHsBH6Pm3TcR77a\nw+9xUah3SUftyZSj80lyVZn1UoeDUzHknsb1LbuhuqWo/PLTrdE5mc2GGWjmqM/0aQt574ZTHf4S\nuLJW59JKHZcocGgqNmplyVft/q7NcgeXS8TvdZGryIQDEgPVoN4ZEPRJzGUjXFipcX2zQbXVp9fT\n8HrdvHx8jGKtx3pJYaui0NfsfRdYAtmEHW7WOwNE0cLv8zCVDtGQVZY2G+RrXXJVhY+vlpAkF1Pp\nEKsFezplsyxTbfWwTIvlrSZjiQAW97dP9075xOGXxJW1BpdW62TjAXJVhV+d2yIV8/PcgTTdnkp3\noOF2u/C6Xdt7PixSsQBtRWU6G+bkgSQbZRkLeO+zAptlmYl0iOPzCVqK/QVxda0BlsXseIQ3n53i\nxEJy1P+XiPhGCjs7m7t3No5b1u5VBZ9HLeZO+cOhMbUstuX04fB0DICz10qcXSrTVzXmshGubzUI\nB7y88sw4s2MRQn6J/sAgEfFQa/UJBtz43RJy38CF3WTdUlT7nBc7lGoKlmVxcCaObphcuF6j3dNo\nywMWJqLohoUoCLRkddS6FAt5iQU9oyr5sIE6FPA80uVRTwJOTvALZOgVvHw0S7XVZ6Bq/OyDNfoD\nne5A48BElEJNYaXQQu5qnDqc4aWjY6iaQTigUVdUwkEfxUYXSbQYGOB2icxPhAGR6+t1sCDgE9E0\nE0m0Q7ADEzFOzCd572KeUKBHPOhmIhNmYTzC9a0WizNxpjIhJpNBNF3n6lqNRNDD+5eLJCN2P9rR\nuQTZmJ/NigyicN+h8L3C56F0/VAeHmwFnLVih3ZPI+CTOL2YHR3Di4cyvHZinI2yzFQqyH97b4VK\ns8fiTJxU1Ed6Nj5S0MlXFUQBptJB+qqBaVpIkogkiaPc5s79wXuP++y10mjx+ucRG93p/e3Nee69\nHezl8LmKPHr9F1dqLG+2eGY+weW1GutFhXpbZXE+wWc3qxSqCrWOynjcx3gygIVFXzURANEFTdle\nRrVSaHFiIYXS02h0Bpy7ViEd8zOZDrJZkbdD7AGLM3EKNRmvx83pxcwtQ+8SKdW7ozTOMGTfqV35\ndcDxBB8hQ68gFPBwejHDzXyHgapTbnZZ2mySiQeQXCLXcy0s08IEXj8+juASOToTZyobpt7us7zV\nRtdNwn43Po/EK8cnmM6EWC+2yde6GIY9cTHM40ylQ3y8VKGv6pyYT5KJByjWuxRqClPpMN8+NWWr\nzWw2+eByyV543lNRdZNGp49uWrxwOI3LJXJkOs7JbQ/qfkKie1UORVFgJhse7fAY/n+jM7Cbmg+k\nef3kOImoj7FEkJMHUyOtxA8vl3j3Qg5VN3jl2DiHpmOcPmobUMu0MLDYLMu8sJjlG8cn8Htvzf/u\nVXLZT7+v3h5wbaPB/FiYyfT+On/7XeeAzz3q+RxOx9xagdnE53Zxeb1BNuZHFAUKNXsk7/S2VJfS\n0/BIIgPNIB5yb4tEiBiGSVPRsEydUNDDwek4xaqCMjAwLfBJYJi2iOxAM2kpKvGQh3qnz0A1AAvd\nAL9Pot4eEA3ae102SjJ91WB5s0lTVndNyIjibu3Kr9IcsRMOPyI+T/vIsC3CsuxwZauiMJkO8Yev\nzaMZFn/w6hxuSWQl3+L4gRRtRaXU6FKsdfnNpQJz2RCCS6TSsBt9XYKI32c3y05nw8ykw6yXO3QH\ndnIoG7cbbPNVhXKjS2+gc/JAkmubLZqdAd2BTqGm0JZVLq3WuLLW4OhMlFTMz7eeneLYXILD03GO\nzsZHbT2T6RDxsJemrN6X6OaDCo0O20pOHkiOQtBhA3mjMyAW8jKZCuLzSLx0xF43OZsN88GlIu+c\n2yJf65KJ+UejYz11+zXvkAvbq+Sy97g13WSt2GZ+PHrPSYrhdd4vb2hZdsV7OJ/c7mn84qMNtqp2\n18BEyp4ZjoW8nF+u8slymXDQPmeFWpdyo0cs5CUa8pIIe0ZV5FpHxTAsdMPEI4HLZe9f8bpdZBN+\nBLCb8ZUBQZ+bZ+aTINgSbqYFA93E4xKotHo8dyBFtd3j8mqdTCzAwanoqH2n3rYFeB/HJNGXiWME\nHxF3yv3sNI7Db9NhDujgZNTWw4v48HslYiEv1zaadAcaPo+bG1tNWoqKrutsVXrcyDVobAsihHwe\nohEfpmlSbvSpNXsE/RKrhTaqbmEBAa/AZDpEriLT7Or0VBPDMJB7A3TTYqDqVNsq7a5KMuJjvdwB\nYDIV5upGHZ9bIhLysjARIR6+9WG+2+LvR91LuJ/xXC3Yu1BWC3bSPhn1MTsWHs3cthRbZmygGZw8\nkOaVY1lbp7DYYrXQwiUKDFS7MJKI+G5TcrlN6mzbEH/eD//OY94riLG00WAyHeKVY1kMwyQV9/PS\n4QwLk7a68/D410ttVN3g2UNp8lWZWquHCRyZjnB5rUHILyG5XLS7qj3toxsYpkXAKxEP+4iFPFiW\nSaXRQ+5ptPs6LgHCAQ/XtxqU6j36qsHk9na9tWIHn8dFpdWjUOtSbHTp9jVOLqQA23gPVWhiods1\nLx/X9f8icHKCj4g7tUEM9zYAo01lQwVfOwRSKNS65KsyF25UUTWDTDzIaqGFaVrMT0fQDZO1YhfT\nEgj6JJSezsJEFEGA84UmmgHVdo9zyzrajgXk6VgATTdBEHCJ4JUEun0dENA0/Zb4aLfP3MQU7a5K\nNOSl3LB1/bbKm0xlQgjC9K72lb3b7HYWCx7FkqF7bbybGwvzreft3b97eyzBbu/Ixv0Ual1eOZbl\no+2G80wsSHfQRjeskYL2zv28Z66Udl2rIY+q/23neVvJtfjZh2t879U5Dm4XRKZSQS7cEDl1MIWu\nmxyZifPS4Qzvn8/R0+zH+M3FMpoJLqFHOODC4xLRdROvx4XLZa8N7Q50+gOV7mA7H2KBYBrEwhLt\nTp9Oz7SVdiQXpiUQj9jesGt7h8rzh1LEw95Rr+J4MsCVtRpHZxP3nAz5Kk6NOEbwc7LfB2XY/Doc\njRreb9iTN+wdtD+AsFXu4PVI/KdXZtkoddisyNzMNbm20cTtAr9HJB0PYNRkljcbpKI+fB43flFA\n7qlILoNE1I+qGfQGGvX2AEEUGEsG8bp7CIKA3ychigKb5S52azFYlgCmheQS8Xsk/GGJWMDFuxcL\nnFiIY1mMduDubKAFdi0e2rmO8n6W9Ozd4HavjXeiKHBwKnrHxxBFAZdLpNTocuZKiWsbDY7Oxnn1\nmbHRuFqxrrBRlgFGzex7r9X9rp68FzvPW77epdbqk693mRuP8P7FAtc27cX05WaXcl1BQOTGZpNK\na7Djddo/67JGXdaIBl2koz6aygCPJHBoMsr7lwsjA+gWwRLsHcy1lo6xbRcn00E8kkCj0+fkwSSJ\nkI+FiQj/769vcGw2ycGpKP9yZp3Ti3Y/pCAIjG+3Tt3tGj/okqknGSccfgjuJBawt3cQQDdMQKAl\nD+j0NE4eTLFRlvnVuS0s02QsEcQCmh0VBIG2ohLwu4mGPIwnQ/QHGiG/l2PzCSYTAQaaTqHeoyP3\nSUb9HJyKoukW82NRTi9muXCzAliE/HbI5pJc3Nhq4ZFENMPesVFra6Rjfr71/NRIZBNsw1dv2/m4\nvb1ynyf3tzdk2plKmBsLEw97b2tXudPj3MzZucFhn90wRB+e+6BPYr3U4cRCikTER6MzIOx3M56y\nxUWHAqKnFzOEAp5d1+p+x+Puh2zMz1ZV5rsvzfDRtTI/+80K64UOfdWiI/dpyQOUvobP6+LZgyl0\nw6Apa4iCnetV+rZwrGFYKAOVcMBWqa40e8i9W4umTMv+z+cGv1dgoNlffGOJIImIn3Kzz8pWE80w\nqHf6NDoqHrcLv09iq6LQVFTCfjfz49HRl9QwPTBUPdoZ+j5o7vfLxMkJPkY+7xtiuBv2+FyCWrs/\nalBtywMu3qyiGyD3NWJhH4ltAUy3WyQR9lJp9qk0u4iinQwv1jpcXm9SlzVbSn67Z6zZUWl1VUr1\nLsW6TFMZEPC68XlcKH2DbNxPyCdxfD7JVkVBwKSnGfzn1xfoblcMg35b6WZnE+2wufh+3vR7jcvO\nQsJQZHU4Y7uT4WTN0AAPvcbVQpuFiciuDW3DAkpTVkeP2+gMeOfcFmvFDgcmoyQiPlby9jqCRMR3\nW9HjUczC7rexz7Lgnz9c52auhdcj8cqxLEpPo6/pCFj4vBJBn4fnj2ZIhrwkI37GkwFWcg1UA4J+\nF92BMVoXoOnQ62mYloU8MAl4wDQYGUIR0EwYaLeOSxLhucNpas0eXVXHMAUsyyIccOP3Skyk7Er5\n1fU6ayX7fA2lxR50hvpJxckJfokMwy1d31Z5qSqsFduYpsmFG1UWp+OMJQJUWj1AYCIZpNW1BTA1\nw1aMAYG2oiGKEN1elqRvh0xBr0DA66LZ1WnJfQYamECl1cfvETFMi7ZsF2Eq23lApW/w+olxbuSa\ntLsmNVnl9fnkqEdsNhvmrVNTWNbtIc/nDR/3hkyfN+e2N1TemRvcr89vuE1vPBmkUFM4dTh9Wy5x\naNv2s3GPIhc4zJFtVWSWNhq8+eykLWqqahxfSPLKMXtp04kDKVIxP5Zl8cl26qHf07mwYXtpbpeL\n/rYRGwwMPC7YdgYBUE3wuwED+ipILjsEBphK+Sg3+/R1CHhA1WEmE+TDi3naisbibIJY0Mt6ydYb\nnMqER6kN3TDBstB1c3Qu9l6/r1Loux+OJ/gYWS10+PhqiRs5e0Viu6shuQQCXjeXV+u0uwMQRboD\nnZlshIPTUT67XqXRUVEGJs1On3jIg24a9AYW3b4xMoB+CSJBL6l4kEFfpTewRQFcon27KIC5raLy\n3Vdn6CgazU6fgE8iHPDiEgVmshF+54UpXC6RRmfALz/dGnlM+4VDn9czeNCQabiPZBgq381rHN5/\n5y6N+fEIyeju+9+t8nu3SufnrYJGgx58HomOYu9PsYVMu0ymw/zui9O4XOKo2r2xvc8kHPDQ7Wv4\n3C47pxv1UawrmIb9JaZqJqIIgmX/PiTiFxFF2wO0zFu39Qc61nbfaNDnQjMsIkEP1WYfRIGF8Sj1\nTh+fz83hqRjfOD6OIAj85lKRT5bKFOpdCvUuyah/17TI0xj67ofjCX6JzI2FOb9U5upGg8lkkK1K\nm+cPpjAse8/Gp8sVu1jhdSF3VX55douWoiEIEPTY1myt3N33sS0BmopKTzUwEXG5TCZTQZJRL33N\notXpUuuo6IbFh58V0U2LaMjHq8+MU2sPmMpERlMccKvx2rJueXymae2aoHjcnoEoChyYjN77jtx5\nV+9+j3mn2x5FFXTY/F2od0nH/Lx0JMPZ5crIAzRNC9MwSUa8WJZJvqrwy3Nb6LqB2+1C002qzf6o\noAG2kRMFmJ+JsJ5vYyKg6xa6KRAOuCk2bhVS3KJtDDUTPC44NB1H6Rtsltp0egYeN3x2o0pX1RGA\nm1stJpJB3G4X19brIMCLhzJMpEMP7Pk/7Yhf9gE86QzzVEOJpVsq0PdGFAUScT8iAhMJe2pAtyw+\nXiqhGbZXFwl6OTwdQwASUR/ZuI8DExH+y5sH+c9vHCDo2/8SeUQBn9ueqJBEO9zz+9ykYkGwLFQd\ngl4Jv8dFX1Wpt/vUWj3aXY2Xjma3l6AX0bddy7mx8G0tEoLArsXeQ4PyqD4Q93s+dzI8xrVi54Gf\nf24svOv1fd7b9rvvZDqEphucXa5QqN2qTK8VO7xzPkel2cMtuTAFC8OwCAXcuAS7n9Gw7GXyQY+A\niJ3PU3VotVXGEgEkSSAT82Fi4XYJhHwuIj4BSYQDkxE8kn09EmEvct+gWJORewZuCeayYQaagUsU\nCPrctLsq732WQ1UNjkzH+d6r87ZQ61R033TDw57jpwEnHL4H+8nj3y0c3FnRjIW8TKdD+H1uOj2d\nzVKHyWSAWmuAquoYJsyOhXG5RHqqQSbqpyGrHJtLEAp6OX0kS6XZw7J0fG4BLBNjOyE+MKCvWTQV\nDU0zCfpExlMhzl+vsFnp0u8bdAcmqmYRDXkRXQKZeIAD0zGeXUjx26tl3vl0i6ascmQ6xnpJZmmj\nOaoS+73Srlzc3tf1KEKkh0m8P4qixt3CvfsJBS3Lrv6PJ4Mcn0/gdbso1BQmtxc6xcNe5J7GzVyb\n2UwIQYBvPz+NJLnwSCL9gc4zc3F6qk7QL3FkNr79xWbR7unousVYOoDX5SIZ91Oodulr9q7lsN9e\npIQFfp+LtmKvIogF3XT7OiYmhmkxnQnzB6/OsbTRQHQJ3Mi1uJlvYRoWR2bio2u8MwXwtIqo7sWp\nDj8k9yuttHfaIR72slGSubreQNX07T4+kUjQw4HJKEdmE6SiPqqtPpm4H92wMC2Ls1fLXN2ok692\nef5gholEkGtbbUxs933oOwnYoVM04kfVdLoDg4mEn2wyQG+goulwdDZKS1ZxSyJXVut0+zrfen6S\nlqLS66ucXarw2jNjdHoauUqHdlcj5Hdz7noFv9detFNv25XXna/rUZ7b+/2QfVn5qjstnR+OHCaj\nPq6uN/j1+RyS5GJ2+30jba/DrLX7XFlrUKh3WZiMko76SUb8VFoDqq0eAgLKwKQ7sNW2B5phS6HJ\nAyRJIleRbfUg7PDXLYn0NYNUxAuCSLNjL0Wa2JbLyiZDHJtLohuWrT3pcTGeDNJR+mxVOmxUFMIB\nD7Nj4dvmrO9n8dSTjGMEH5K9I1L32tkbDXqIhbzMj4WxgHq7zzvnNulvtyk0OirPzMZZmI7RbA+4\nslojEvTSlAesFWUOT8Yo1mQasorfJyEAgmhx4UYVwzTxSpCOeVF6BiKQiXuZyoT43qtzNBUVy7A4\nPBPn6rq9YWx+PMKxWVsqaToTotNTGWgGE6kQLx7J8K+/XWcl36bc7PF7L8+yUujQ7AyYTNvLwfNV\nheXNBhOpIHNjERYm7t3f9yDn9mnhbkvnh3PBk6kgkuQa5QVXC3YVOxL00uyohPwSh2ZifHixQKmh\nUGx0OXUkg88jIbpEMEwE0S6Q6KbF8bkYA13gxHycbt9WJPJ7IB310h+Y9FWTnmqXijX9/2fvvYLk\nSMw7z19mlve+qr2BNwMMgBkQY8ihFyVKlG434jR3F3FxT/eiCIUU1BNfyAeREXfHNypCD4q4h72L\n0M7tkbt7lFlqtRyaIWYGAzOYgeluAO27y/vKrMpKdw/ZVahudMMNBrb/L93VnZWVVfnV57//ZxIJ\nuHC77B7Kpqyi6SaqZlBtdfB7nRRrbUr1LrGQm3jQy1DMZp2+15z1s4rdwsgjxr0S5r1ph96kRTrq\nI+hz8eqBNJmYj/WqAiZcmM2Tq7Y5MBrh8HiUxWyNYlVhpeCg0zUwLBOnJDA+FuE3l1ZR9Q0PUAJV\nMxEl2wssVFXKDRVJFFgtyBiWSbXRxrRMBET8Xrsl4pWDaQ6NRWh2NNioJJ6bKaBpJiG/C69L4oPr\neYo1hYPjMaaGbDr4XEVheKPx+HlOjt8vtisObUelP7i8yiZXsNA0k0JZpqoZXLlVpibbJLvtlk6r\n1cUwTOIBN+uqTqOlEfS7oKOxUlRQNZObq1X8XifxkAfLspAkB06HRtDnpKvpHJiIUK61iQZclOoK\n+8ejBHwu1osywwk/6yU7t3dqf5pqS6Wr6bhdTgo1hfn1Rp/qaytD+vOOXSX4gLjfCungnOtoKtAf\noRtLBrgwW2QsHaSt6kxkgvz0t7cwdDvsMS2BoUSAVsegVOsQ8rn650xF3cSCbjTdxO10oBsmhZrd\nFO3zOJEcIq2WRrGu8uZLwyDA8ekEpmlxdaHEgZEwr+xPMxT32T1iusloKoDPLTGWDpGJejcIAO4c\nn3rWFODnVdncqdq8k1z0rsMwLP7pw0VMCwoVGdOy8LqdfP3kKO9+vMbe0QiLF5v4NpYzlRptDNPu\ngynXVSRJoNHSmMj48bolsmWFYk3F4xI4vjdJOOhmbrlGWzXJxFyomspH1wucPpRm/8ko6YiXf3h/\ngbaqI4gCf/jaJB9cz5OJeBElEUHokb9a95zied4qxrtK8AHxoA22veN7nuHxPQmGE36SYQ/1VpeG\n3EXpGBzbF+cIAtGQh9nlCpZpcmJ/mm+/NkXI52JupUq5oVIwVNqqhiTCWDrM8b0J1koyC+sN9o2E\niQRcJKI+LBN+eXGVZNjLpZtF1ksK713L9pOJgiDwm0/WaLU19o2lef1oxqZkr7aZSD9Yk/PTiMc5\n6H83xdC7jlTUC9hNzJZpMDkU5uW9ST69VWZhvYFlrfCtVye4tlRmIdtgPBVEbneJB72Iot3zOZ9t\n4HY5GRsK4nU7KdfkPrvOnrEI1YaKQxJ448gQtZZKoapTbaq8cjDNZCbIq9UM52fzzC5XqWxMLgkC\nfOeN6X6KwzStTXPkT/JzfVzYzQl+TthpdEwQ6O95mB4O8+qBFD6Pk73DYXJVhYPjUVYKLZZyTUJB\nN1eXKmTL9gJ2pWNgmsbGCk2TutLF73FwZaGCKFi4XTbN0lpJJhHyUG11UFSdlVwTl9PB6YMplvJN\nsmWZ/WMRPC4HDaVLMqqKa3IAACAASURBVOJlPB1kKd/aRBC6Fc8SjdLjrGzercrdyxfWWyrrZYWw\n301T0dgzEiHoc5EIeyjWN6Z5VI18tc16Scax0X+YDHuptTRyFYWg18lwMkCu1GIh28QhSewbjbKQ\nbYAFe0bDLOWa7B2JYJgWbpfEgbEozbbNrTiWCqCbdlGlWFNsQl3D4shknETESzR456z4k/xcHxV2\nc4JPCDuFR2PJANmywkT6NjXVmcNpFrMNoiE3l24UGEv5mV12cGu1jtzRkCQRhyggSdDugiDaQ/dz\nqzUKlTaaAT63k0pDpVzLE494QRQ4fSjDWlHm9OEMRydjdl9eoIGuG2RLMpm4H8uyuL5UYSjuv2Ns\nCu5kgBn0Ap7m0OhxerFbqcd6VGG9rXIAc6s1Ol2N2eUKHc3kvU/WNoyiwIn9SX73yTqabtjpk6Sf\nSrPDUrbO2kYXtcvh4Pi+FFgW2VKLjmYi0CUYciFJAquFJvmKTKmu8s/nlvB7HByajAPw60urlGpt\nEhEvs8s1wCIV9XNwPMbcan2TMttpQ+KT+FwfF3Y9wUeMnrfUYy+JBNx9xuGZpSrz2Qa1pkpd7rKY\na/LRTIF21+D8bIGP5wp8ulBhOdfE5RTxuh2EfC5iITfj6SBYFq22htzWKNRkwgEP335tkraq8cqB\nNB/fKmFYEA26aWzQpzscIl87NUqzo/Pz9xdYL8kkIz4KtV44JNDuGkwP2yNn2xGc9ryc8VSg30fY\nq3o+DwP2nxVbiVV7BBS9pe6ZmJ+poTARv8deaIWAz2PfW7Vr2vfoxBg+r4vVksxKocVyQUbp6IT8\nHoI+F52ujtcloZkWmmEhKyp7RsK4JYlrixXcLolGq0tb1WkqGoJgN0d/6aVhlgstGrK9bD4Z8TKS\nCLBabPHSdIK9oxEm0sE7Oh7m1xv8twsrtFWDsdSdawmeJex6go8ZW5ex99Bbuq12NRTV4NpimVZb\np60a7B8N89axYYI+F+evr6N2DQS3hMPpwC2ZrBTtHRx7RyL81/NL1JpdTCxe2Z/m0GQMv8/FYq6B\n1ykRDbnwOCUUVSdXsXeb6LoBCHzz1BgfzuT579/ay6VbJQzLIl9WODQRYyId3Nby9yqbPa+vNw3x\nOMbonkVMZm4TUIynApybKTCZCfaXPomSQCbiJVdrc32xTLXVoXKjw3A8wBsvDZGOePn4Vok9Qyaz\nKxX2j0WoNBT8XgdzqzWw4OBEjD2nxtB0e7+IJAp86dgIDaWLYVrEIh6W1ptcmS9jmRbVZoeTe5NU\n5S6abitdQRCQpM35arid57MsaLU1ri9VN1I3z5f3N4iHVoI/+tGPuHz5MoIg8L3vfY9jx471//fV\nr36VTCaDJEkA/PjHPyadTu90qqceDxL23W0Ze4/deK3YYjgRwbAsLs4WmFutIYoiTaXL6UPDzK5U\nOTAW5eW9Cf6fX83R6hj887lF/uy/O843vzDJf/1wCbmjEY/4+gvCX96b4M3jI6hdg+GEn5GkH8Ow\nGUt++8kaTUVn/1iExVyTd351g6DPzakDScaSASwLlvJ2wy/cybrca/84uT+57RjdLm5jcP55fr1B\ntiyzmGv2JzLyFYWhmA8seOvYCLmqAoLA6YMpFrINrixWmF2uMZzwMZwMkYn7WCu1iIc8pKN+wn4n\nlWaXRMSLIAhcWyiTjvlwuR1UCy0sy2bVDngdHJ2Oo5smlYa6oQANXE4Hrx5IIQhCvwC2nTGbHg7x\nnTem72D3fh7xUErw3LlzLC0t8c4773Dr1i2+973v8c4772w65u/+7u/w+/2P5CKfNB6kIjaoGAaP\n7f3eY53uCVYm4uPaUoVE0M15pWuzeKxCTVZxOCX+4t+e4H/79xdIR9zkKgqvH84gAKZhkY56WVqv\nIwowErcbm7u6QbFm0847HCLfeWOa1UKTizeKG3m9BuW6wr7RKBPp4AblfIuT+1N3zMoOUtPDs9kq\n8yTRW8dpWRYXZouc3J/k+J4Ev7m8xlqxxUt7kmi63bi+Umzxy4urmKbFcMJHV9NJRwO8djjDSCLQ\nX9OQjvlYLRWYXa7xlRMjYFqYArx+OMPoxnHrJZlMPECl0cHQLV45mOb3T4/zz+eW6Wqb55u3Mon3\nMMjuvVN+8HnBQynB999/n69//esA7Nmzh3q9TqvVIhAI3OOZzyYeZdjX67/rKcJSo8PVhTKVRgcA\nAXvGd/9oFE0z+JfzKxyZjON22RRN52YKFKpt0jEfP/3NTcqNDhYCy4UmayUZpd1FFETqcpf/5fcP\n9YV7LG0n7ePhMpZl06/3dvYOJwLbEiM8j+0Qnye2RgxL+SbXlypkoiN9A/PeJ1nm122S2G+fmeDc\nTKG/87gXRmNZ/Kf3bnFtqUws4uFLx4b7YathmJzYmwBBQABmV2sAjCbsMbfXjmRYLrRYLbS4ulDm\n6HSCP35zisVck65m4HJKnD6YYrUk37c8P+9y8FBKsFQqceTIkf7jWCxGsVjcpAS///3vs7a2xqlT\np/jud7/7TCdWHyTsu5/Q+dZanZ+fXeCPXp/izGGbJCFfkVE6GqMJP5NDIUzD5J13b6B0dE4dSNnF\nCAF0wyY/jQXctFWdkUQApd2l2VLpqDq6AemYG5/b0Wf/uHSjyKkDKfaM2CGOZdnECD2MpwLbLj/a\nzfk9GLYqC6s/4H1bfobiPuJhD198aZjVknzHhIbteQeZHorw/vUcF2cL9uON+/LLi+sUa20SYQ8I\nsG8kbA+PWxbnNxTqmcNpNM3gyGScb5+Z6BvetWKL60sVVoqt+6Ysg+dfDh5JYcSyNlMh/fmf/zlf\n/OIXCYfD/Nmf/Rm/+MUv+Na3vvUoXuqpx/1YzWzZXsLz6a0yU0MhXpqOEwu6mV2pImzkjtZKMvGQ\nm0MTMY5Oxbl8q8RQ3M/1pQpgy321qeJ2iQynguRKChOpAE6nxP/6h0fJ1drbbmoTBIGpodsKuudh\nbLf8aDfn92DYqixsxTXGeCrQDyf3jIT5ky/uwTStO+SkV6AwTYuX9sSJhdzolsVK3k5JTGaCHJyI\nYlkWyYiXueUqzbaG0u7y5ksjZDZSIh9cy28U3jSWC60+TdZQ3M/McrXPGTm/3rArIMLdKdKedzl4\nKCWYSqUolUr9x4VCgWQy2X/8J3/yJ/3fv/SlLzE3N/fCKMHBwshOeZTXj2YobTTInr2aI1eWSUV8\nHJyIbYxXLeD3ODk6neT0wRQfXM9zYm+CyaEQmZgPYSMHGA16+srT53UwmQmhGxa5WnvbfOR2VcDe\nNe9Eqb+L+8dWZbF1Wgjsz73Xhzc4mgi3P3vLsrg4V0IU4NKNAh3N3jcymgyQiXhhMsaZQ7YH+cmN\nIu9fy/HxrSLfeWOa0WSgv2p0dqXaXytgmhaCAF85Mcr0sD0X/u6lVVptmzFop81/LwIeSgm+8cYb\n/OQnP+Htt9/m6tWrpFKpfijcbDb5i7/4C/72b/8Wl8vFRx99xO/93u890ot+mrGT4A/C4RA5vjfB\nLy+uMhzzIW4svAFg1PaqD41Hef1ohrNXcvzm4zW+fGKU6ZFw/4sjigL/5i3boxhNBREEmEgH+6FV\nz9IPcgLuFNYMVjSf9yT4k8BOpAuDcjGYRgE7WvjwWhalo+N0iGBZfaXl9zgRBXu162QmSCLmYzjm\n20Ry8eaxIUZTgU1h9sU5Oy3Sk4WvnBjte4IvsvF7KCV48uRJjhw5wttvv40gCHz/+9/nZz/7GcFg\nkG984xt86Utf4k//9E9xu90cPnz4hfECB3G3PEqPSblnladHwgzFfXYYXJYJeG0+uB6rB2BPleSa\n/bzP60czgC3cg6HMoNf37iU7xP3aqbEdq4BbsZC1Q+Ovnhx9oLzRLnbGdp/7vZbanzmcxjBNxtNB\nKg2VkWSA0ZTdML9eUVgvtfr3/kvHh+/5mjsp4snMLjuQYG1N6D0hFIvPN4X3IHpe4sn9SQThtmc3\nv97g/Eye4URg0/6PHnTd5OdnF+lqOq8espXghdlCv/I46EksZBsYhoUkCQ9Eg3Vztc67l1b5yonR\nOxag7+LRoScDvXu3ddSut9/l5b0J8tV2v+UJPjuTi2lanL2SY73U4pWD6ec+DE4m7+7l7k6MPAH0\npjDWSjK5jamS7SYwtoali7kmhaq90Gc8FdhUxR30JIB+6POgAt5L5r/I4dHnhUHlNXivB0PVXvN7\nrzHdNK1NPX2PYl57Mdfst0Z9lvv8NM+OPwh2leATQG8KI1dWNgniYA/h1k1vYC9TUlSdUr3d/1Ls\ntCu2t0e4F3oP5geBHYX3ea8EPklsDXl3uneDvy9kG5zYl9yU2+udY9D7vx8l9Kib35+X/sFdJfiE\n0Jsm6FGw99ATrK0jamArsO+8MdUPmwaFulcQ6Z1LFAXOz+TJlhUyMd+m/CDwXAjvs4a7FaYGFdpg\nXnewmLH1HDspoZ08tEettJ6X/sFdJfiEsFxobQpzergbm/PWvbx2DrHA5ZsltI3VmYPexXrJHqEa\nivv4yonRO+ZAn3XhfVqxkxJ60B3I96oqj6dsNhjTMPstNzuda6fzfRY8L1HDC6MEn7b8xaMQyJ6i\nWys2GUkG7/iyDM4pb33Pz4PwPq14GI+rFxn0QlW4t5JZLrSYXa4yu1wFQeh7lHfzOB/kvj9t35nP\nCy+MEnwa8hdbhepB6cu3Pv+2ovPv5veeIjyMgdspMrjX6/Q8fGDbhuzP0vP5NHxnHgdeGCX4eeYv\n7tdi3o9Q3e06t3v+1nzSTq//olj1pwEPY3weRj63Mr0IW5qeP6sSu59r2k6unjVZe2GU4MN6Rfdz\nQ++Xdv5+hOpu17nT8+9H2F8Uq/6s4rN67ds9f7uOgQdRTjtd091WLsD9fx+eFrwQSvBhb8LtptLb\nvXzbHWOaFif3b9/GsN0s6cNc192OvR/l+rxU8nZxd9wt5fKoDOHWNp3Bn73WrJ3aenqv+zQpxhdC\nCT7szbebSlt3bSpdzDX7VFVgV2wH+7Ae1XXd7dj78SJ284MvBu4mJ9sZwodRRr1m/14P6lZFe7e2\nnvu5zseNF0IJPogXtFNX/04C8ln6th5EKHc9uV1sh63ycjc52c4QPqgy6hVbbKZr+b5nlO9HIT8p\nvBBK8EG8oJ26+u917u3C4p3OebfrepBje3iaQotdPF5slZcH9fgfVBn1KLgsCw5Pxh66Dedpikxe\nCCX4IHhYCzUYFj9Mzm7w2MGRt/tRak9TaLGLx4vP6lE9jNLsteVsR8zxLBpk8UlfwJNGz73v5Te2\nzu/e63m6bvbzgKcOpPpkqoPP7QnaoFBsfd3BY0VR4OJcsU+Pfy9MZoJ3jNjt4vnC3eTlbqzQD3Pe\nrbK9VZb3jobZs8FtuRU9g3y/svs04IXxBB9knnIrb9/dbvbgfuF7kalu9/xBhuGH3e3xNIUWu/h8\ncC9v/2E9sLu1uGyV7R503eSDa/lt6b3utyj4NOGFUYIPMk95e+72NnHlVvSO37pfePDnVrbg7RLY\n9jrGApZlbeIW3FVquxjEToaxJ2ODrEN3a57frpDSS7/ousliroll2bntQabyQXxwLc+vNgg53jw2\nBDzbKZkXRgnebZ5yMhO8g4p+637grRgsiMBm4dpucU5ugw0YNiewe53+pmlxce7ZFKJdfP6415jl\nIOvQYq7JR9dzXL5Z4o9en+x7a4PHw205FEWBC7MFsmWlv+bha6fGcDjEbV9zkO28h6ep2vugkH7w\ngx/84ElfBICidD/X81sW1FpdIgE3lgUL2SZhvwtBEFjINvnlxVUWsg1iIQ/RoBtBEPo/wQ4Bzl7J\nMRy3F8r3nt/b1NZWDeZWatRaXUaTAQRBIOh1Upe7BDwOZldq/Z2vomgrvYVsk0jATSzkIRJw4/M4\nmcwE73s9ae8cvfexixcPYb8Ln8fJ1FCIWMjTl7vzswVurdVxOiTG08E7jh+Us97fjkzGiAY9TA+H\nmBoK3fE96clbNOhmYouXKQgCYb+Lxdz28rhVVh+n7Pr97rv+/4XxBLcyLw9aw/FUgAPjUYZjvh0t\n2dmrOf7l3DKmZTGaDNw+l2XRkFVyFRkBuLpQIhPzsXc0vLHcvIVpWQwn/GTLMkt5O2G8VpTJVZT+\nNdxtD8V2fIFb39Ou9/hiYlBuBkNje1thvO+tmabF/Fqd9YrCmUNpFrKNO+aNe0WPnsFPRbxcvmVv\nlextqNs6DjcYQd1NHrdOmdxrEutx4oVRglvd9V4LimlaLBda5CsKo8nAjjmUTMRLLOwG09qU/J1f\nb9BWdT6aLRD2OfG6HWTLcl+5Xr5ZIluSObEviWXBUq7B2StZEmEvR6cTO+Z4Bpuvd0pQP8shyC4e\nPQZD41cPpTcZzcVck5+/v0i53qFc71Cqt8lXZHweJ6cOpJhbqfWXa31wLc+7F1c4PBEjHvawkrfl\n/+MbRY5PxzfluAfJeu8mj4O5x/n1xj0nsR4nXphweDC8FQSBWqvLxbliPzQYDBEGXfXe9jWXQ2I0\naXO+3VpvcPpgCkkSiQTcDMUDjMT9vHIgTVc3WSk0iQY91FpdrsyXCfpcpCJefnV5jVvrdRqKxsHx\nKF85McIH1/IMx/19Yb21Zr9eJOBmaijUD1P83jtD5a0h+y5ebAyGxpGAe1NoGva7SAQ9SJLIH3xh\nAlUzyVdlFFXH7ZQo1TvsG4kQD3sYjvuptbqUGm2uL5b5dL7MpRsFLt60vy8+j5Ow30Uk4CYScPfD\nZ1HcOSQe/M4NJ/yMJAO8NB1/LL2Eu+HwDtjOM5xfbzA9HNq0dtKyoKl0uTCX5ztvTFOqd/h0I0T4\n4zen+uFIodZGEgWWC82N80FX1ZldrmKaBtGAG6Wj89rhNA1F5w9fm+TcTOGOKhuWRaut2SfYwG61\n+MXCw7a7DMpJryjX6zoYTwXI1dqU6m1WS3Jf3i7M5VnbCEslSehHRn/0+iSL2QYXbxaZW64hd7oY\nOqwUmsDt9a5bNxLe7+zy09RI/cIpwZ2quL+8uLpxxChrxRYNWcU0LfaMhHnlQJrrS2WyZYVvn5kA\noKsZ/fP8/Owin94qMpwMYJoWU+kg3a7Bz967RUPW6GgmoiTQVu3nmBasFFvbVtkQBAJeJ6ZFfy0i\nPPm8yS4eHx4m17td64tlWawUW8wtVzk4EWNmqUqzrfHJrRKTmSCvH81gWRaGaTGSsAt+9l4TOwWT\ninip1Dtk4j5GEgl+cW4Zj1PE6RD7KaHtXtcwTJZyDZZzTd48NtSvTj+txvyFU4LbCdhowk885OHw\nRAxBgJnlKm1VxzDsG3z6YIqbazVWC03+sdHh22cmWC3J/bxdR9VxOEQ0zaTT1VksNrl4s0itqeJ1\ni7w0Hee1wxmK1TbXl8r4PM6+xT1zOL2p6DGZCXJoIoYo8EjWIu7i2cP95Hq3Kh/bkK9wcCLGmy8N\n9Tcazi5VKdU7fPm4l+G4n4tzBd6/kiUadON0SMwsV5E7Gg5JJFdRyES9OCSR1UKLQlWhUFOoNLtY\npoXf48LjdtLVdD64lu+3kW0dLMhX2/zT+4vopokoCnzp5eFtr/lpwXOfE+zl94JeZ7/SujW/9rtP\nc7z3aZZM3M/xvQk6XYO2quPzOJlbqXFhrsBaUcYw7Xyfy+ng+N4EgiDgdzv49eU1WnKXWNjDN1+Z\nwNBNyo02zbaGJAlIokAy6scwLWaWqvi9DpSOzlqxRU3ucu56HkXVGUsFWMq3mFupMRR/vHmTXTw9\n2Jrr3a6dZCFrG3Ofx0k06KZS73BupoDS0YiHvYT9Lsr1Ds2N79VEOkSuqtBQVObXG3S6OrWmSiJs\n567TUS+drsHVxTLrpRbpqA/dMHE5JQq1NnuHwxzbm+ToZAxBEFkvydTlLofGo9xab1Brqvi9dq5Q\n0wwckoBpwnDSz3gq2G9FG7zmx4UXPie4U4V1cP/CUNxHLOTG3MjDvfHSEENxP1gWFrBeNDg0GSUW\ndCNKIqcPpri1VseyIFuWqbe6uFwSmm5yfalCqdHh8GQMuaOjWxadrsFwzEe3a5CKelnJN1nINjm+\nN8GJiJcLswVmlioMx/0IAn1CysVck4VsY1Pn/q5CfPGw0ya6wQ4HBIFkxMv+8Ug/v/2rj9cAODIV\nJ19T+Mezi0iSgKabzC7XSEV8HByPslxo8d4na6iaiWmaaIYFWKTjflJhL/lKm7WyTCrm4+fvLzKR\nDjAU87Fekjk3U0Dtasgdna6q896nWXJlhVMHUmTidiGxN3X1tHYzPPee4GAjqN/rZDwVYDHXpNpU\n+9Xh6eEQpgW5jZaBWMhDtany7qU1jk7EkBwSPpeD336SRdcN5LbO+dk8i7kmRybjIEBT0ajLXYr1\nDggwPRKx84qGSUfVubpUYXalhs/txOdxUJU7tDs6x/YkOTQexe124Hc7+NXHa7idEqZl8e4lu4Fb\n1UzmVmqP3YLu4unAdg3OWzsces3SIZ+rX4EdTwXxuh28diSDaVisVWT2jUTIlluomkXAK/HG0WG6\nmsFKoUnXsHjlQBq/18nMUpVrixWa7S57RyMYpoVuWly+USRbkklEfRzfm8DrcnBzrcbMUpWrSxUq\njTbRoIdUxMdL0/F+1GVZPLFQ+F6e4HOvBHuhhSjaP3tWNRPz294eEA26GUsFNglapaEyv15npdAk\nV1GIRjzousn1xTLFeofxdJBXDtgD5OmIl/WyzFjST7HWZmIoSLYsU6h0MEwTURIpVRXqcpd9o2G+\ncCjDWrGFqpvIHY3JTIiba3UQBBazDRpKl4l0CI/bwbGpOEcHhOluIdIuni9snSraep8HlSNApaGC\nZTEU9zM9HKKhaMwuV7m13uDU/iQg4HU7EASIhty8fnSIaNDNtaUqkiRybDrB0ak4v768Sq6q0uma\nOB0S3zo9zp7RCJpmcHO9QSzkptXWUVSd9z5Zo6vpNNsaQa8Tw7RQVI251RrpmJ89I+EnGgrDbjh8\nBwZd8l5V+CsnRpkeDvXDiF5jp0MSuLVWx9jorA8HXRgWKJ0uxZrCe592qMtdju9LcnA8RlfTyVcU\nmh2dRlMlEnTicjrIRH3MtFRUzeD9qzk+uVXCNC0CPie31upMDYUZivt5ZX8S07AQRBAF+g3cvRnO\nwRB+d1rk+ce97vHWlpjBxmVRtNti3r24wq2bDSzLotzoYFkWmXiAYk3h0o0i1abKl48PIzlERuJ+\n/u9/ncUyBSQBPG4YT/poqxrnZgq8eiCF3y0hd7oUqm3KdZm2apAIe3A7JTIJP1NDYar1Dsul1qY2\nr0cRCn9ehZUXTgkOCk7PsK4WWqwVW1yYK+D3OElFfRRrCoZh4vc6CPuclOoK2ZI9HeL3OHBIIh/f\nKKJ0LQoVmWTUR6XRpq1ZJN0SpibhkBw05C4uScTvduCSDHTTwuWUCPtdfPXEKP/f2QUE0c4tnp+D\nG2s1u7cLgZf3Jvo5H1EU7rrgZhfPHx6UjPet4yPkqwrjqQC6bvLzs4t0NQOfR+LgWJRys0M66mN6\nOMTZKznevbjEbz7NUm12+J9/7xD/17/McGEmj8/twCFBtwuXbpb4dLFCRzVZL7XoqDoCkIx4ODQR\nY3alRiLsZdhp58Q/vJbH4xJtr3Vj8KA3rvf6ke1p6e6Ge222exR4ZpXgZ7EKvedOpIMcGIvy0UwO\nywJV05lIB1G7OomwF8uyKNVVGm2dUk3lyFSUo9NJYmEvmYiXCzP2DanJGnKngdK1LV9T6aLqJkq9\nTcDrZL0koxrgECAccBH0uWjIXebW6vi9LoaiPpySZHuCpoWFRbYsU2500HQT07Qo1NqcPpgCUv28\n5m6h5PnGg6xUEEUBh8Nuc1kutFjONTl7Ncvpgym+dmqcbFlmdqXKUNyPw2EX935zeQW1o3H5Zol/\nx3VyZYVY0IPbKVKV9Y0XgpBfJOR1UVc0GoqO0wEHEzFemkoQD3upNFS+9eo4//7dOVySTeCwfyza\nV1y9cT1R2MzO9KCs6Z+X4X9mc4KfJcewkG1yfiZPrdXFwqLeUvF5HLgcEpVmh6mhMK22RiTgptbs\ncHRPHK9L4n/82gGqSpeLs0VU3aDeVGl1DERAN6Hn/HtdEomQm6ai0VRNDKv3d3A6HXjdDtIxH6/s\nS5GrKrhdDmaWK3w6X6ZQa3NkMsZ8toGAxWgqSKut8euP13A4REJ+16aizm6h5PnGTuwrW2XANC0q\nDZWhmA/TsljI1lkrtBhLBNANi/c+zaIbFppusm80wn/+3TwX50p4XBIAlXqbuqxhWAaZqJdSTe3L\nsygAIliGRdjvxO100FZ1Ls+XWCu2uLJQIV+R+XS+jKqZVBoqxXqHsVSAqaEQqbCXVMzHFw6l+eBa\nntnl6n3L7mDes5fXf9Ac+HNbGOnRVB2ZjG1LerBd0aDHjnFgNMJ8tslirkG5oZKM+Gi1dSqNNnMr\nDcr1Nkem4py9ssZ8tsn8esM+gSTwX95fpFCRyVfanNibQMDCtCwEwRYSSQS3SyIa9OJzSzRkjbBP\n4qXpOF6Pg0rTrgp3dZ1DE3E8HgeFqsLsSpV8RbHDX8vi4xslJjIhvvnq+EZeUCId9XHphl35y8Ts\nok4ksDs7/Dxjq7HvPU5FfIiiwKHxKEv5FpWGyqUbRUzL4p8+WKQhq0SDHrq6yfWlMqV6B7dLZCnX\notnW0DSdm+tNIn4HTcWgrVlohoWqWdRlFYdDQDfsa+jqFiIwORQiGnRTqLZBgI5moHS6yB2TdseO\nfpJhD0en41QaHQ6N2wQMdUXj8ESUfzi7yGKuwdRQmGN74tvS1G39Lj+K+fjnVgku5prMrdTwe++0\nKD1B8bod1FrdvjJ879Msvzi3TKujoRsW08Mhju1JEPa57NDhSJrFbJ1mW0M3TU7tT9OQOyQiXpqy\nRq3RYaWogAVdwyRfVfA4JaaGQridEl1do6tZtFWTjtZlPBmgWG+TCHupKxrVRgddN3BIIspGM/bM\nUpWrC2UkSWDfcISX9yXxuBzczDY4vifJ1AbN1ng6SDTo7rdD1OXurjf4AmBre0zY79pgKlLIlhUa\nisbcSq1vGOfXVqizlwAAIABJREFU6txcr6MbFvGQB6dD4vBknPVSi5aiYZgWDblDPOwlX1EYivuQ\nOyqaAT4naKa9eMiy6EcwbofAy/uS/E9fPcB/fG+epqIzlvLjckgoqoZpWuwdDtDVLTTNwALqrS6S\nKFJuqMyt1Li5WufstSymafLa0SHiYU//PZ69kuNXl1ZxbOE+fFR4bpXgdr1TW/9nWWxSFJpmsFJs\n8frhDJJD5LUjGRIRL+99mrUnOdxOzhwdYrWo0O5oHJiI4fe4mFupUa6ryB0V0wC/XyLkc9GQNZqK\nRiru49ZqjUbHwsQWIt2wqLd1wn4PIwkfbVXH45Jo6zbXW8jnZN9IhLaqb3Tmi1gINBUNURA4vjfJ\nm8eGME2rbyUlSeyzdGw3+bKL5w9bPaFef+DcSpXhRIAzh+2+vp5hXC22mMyE+PqpcRTVYH69QSTg\nJlfrUGupOBwSStdAFETanS7NtmYXMAyL7obnJwrgEO0Uj1MAv9fB6aMZfnFumeWCgiSCJAhUm3bO\n2u92IEoiStvAsCzSET+6aVCstlFUjenhMC6XhNzWOHNkiJc3pq16GI77cTgkzhxOfy457s9NCf7o\nRz/ib/7mb/jpT3/K/v37SadvkwCcPXuWv/zLv+SnP/0phUKB06dP3/N8D6oE7zZa1MsdbGVrjgTd\npKM+ctU26yWZhqIxmgwwPRRiIdcgGnBzdCrOsakY2YpMPORldqVCsdrGwhYMzQDdtIfOVc3CsKDa\nUFC12znBoAckSaTdMehqGqVam7rSRTcsfC6Jt46PUGvZ4UupoXJiX5IDY1FcDhGvS+LijRJg8fLe\nZH+fQ89K9rxcv9du8h4Upt3ewRcDPSP/0nQcSRL734Og10lD0fjaqVFSMR9TmRBL+SbfPDnGpZsF\n0lEPrx8dYjnXoNnWCPtdJCM+HKKAqhl0N1w/0wKHZCtBAAsLtWsQ8DrIlRTiQQmPx4Wi2sWTgNeB\nJEgIAqSiPnTT3lXS6ZoMJwIcnohx6UaRY3uTfPHY8B2KThQFRpP2yOjnIbv3UoIPtXLz3LlzLC0t\n8c477/DDH/6QH/7wh5v+/9d//df85Cc/4e///u/53e9+x82bNx/mZR4I263627qOsPdzdrmK0yGy\nXmoxv97g/FyRTMzHWDrEWDLALz5aZnalxgdXs7RVg5emo3z15Ah+nwsLsEyQOyYOEcI+AV2zLSaA\nxwlfODpMIuRBt6Cjg9y16OpQV3QQLK4vV5hZqVFp2ZRZiYiPj2+W+PBanprcRRQFri9Wee9KllTY\nw+HJ2EZl+O7rNZ/FdYe7eDQwTYuzV3NcW6z07/9HswXm1xv8H//hIgs5mflsi4ai4XSITKZ9NOQu\nHU2n0zX4wuEkAc9t5dPRbp87FfUykQ5QqHbw+xxUWgYtRcPlkHA4RCr1LqslmfFMkFcPpWkpGl0d\nRBEM0yRbVpA7OsMx346e3pOU3YdqkXn//ff5+te/DsCePXuo1+u0Wi0CgQArKyuEw2GGhmy+srfe\neov333+fvXv3Prqr3gb3Wz7v9W8enYyRq7VZzje4dKPEZDrImcN29SpfaSMKNsfgUl4mWxb48kk/\nDsmBx6WRinhZKijoJqhdC80CbeO84YCHc9cKtsLbAqdkhxHxoJtkyEWl2WUo4ePMoTSWYZKrKOi6\nxct748ws18C0+PUn6wCsluQdafgf9DPYxbMNm7klv4m5ZTHX5PpihWK9w2rBptjvGgaWZRLyinQ1\niW+eHqfV1inXVXJVFYByy9Z25WYHXQcJMABJACz794DHSb3Vpa3qxINuRExCPifVporLISF4BOqK\nzmK2wcHxGIcmIhRrCm8eyXDioE3XdWOthmnRb/bfqgyfpOw+lBIslUocOXKk/zgWi1EsFgkEAhSL\nRWKx2Kb/raysfPYrvQful6vMViRjmKbF7HKVXLlFpakiCLBcaPHK/iS/OLeIgIDf5+bIpAvDMon6\nXXRUDVGAessWIAvQNnSdx2FbPsGyUDo6ThEME1wO8HpcuBwCkiRQrneYXanidjkJ+GClqPDBtTyC\nKNDVTVJhD0emEiwXWmRifpvNuqL0+dsexWewi2cbk5kgq4UW15cqpKNeJElkNOEnEfZQqMpcmCtw\n8UYRud0FQaSuGOgGdLoW3/7CJL/7dB1NMdjQcwB0dQh47HRMqaER8IrouoXctdtt3G4HggW5agcJ\nEB0a45kgHpeE3O7SWWtgGDq/+XiVVNRLOubjyFSCXEXh9MEUX3l5hE/my2gbMfZWOX2SsvtImqWt\ngfGYpx2bV2WOYmx4YMMJP5OZIO99kkXX7ZG2pqwylg7yxtFhfvvJGtWWtiE0BgEPmIatBA0LMnE/\nHpdE0O8iFnLjdTv4+EYF0SHicojEI26achfTglJNRRBV4kEPareLgUm1oeIUBcJhD58slFA6OqIA\noiSS32iA3VVwuwBbhocTfmZXqqyXZGZXasRD9ly8xyUxmQ4RCbo5eyWL2wFjiQAmML9e5R/e1xAs\nmxvaIdk5boCo38m+sTAXZktYgCRKSG4I+iWckkCh1kYdCG5+/9VxMjE/H1zP4XU5CPrd7BkOM7Nc\npdy0286uLVe5dKNEviIjCAKf3Czickn88RtTTxW34EMpwVQqRalU6j8uFAokk8lt/5fP50mlUp/x\nMh89epu1eiNpa0UZrWtwfaFEW9UYivvQTYvVgsx/ObdIR9X7VlMAvn1mmquLZa4v1QF77C3gdZEt\nt1E1HadTxAS6qklZtZfb2A2n9gncokBN0fC5nUgI6LrJwYkotXqHD6/m6Boma2WZ8XSwT631NAnO\nLh4ftrvvvYhG100uzBVoKurGvHCYpUIT0zLtVQ2KRr2l0u7qdDTIlRXGM0HWSzZZag/tjsZKvgkW\n+FzY+WogFoRm28AwwSNBxwDJAZdulalcXKGrm3hcEpIALaXDqwdTNn9mxEcm4uXyrTIL2QZBnwun\n0+Yh/KcPl3h5X/KpmX1/KCX4xhtv8JOf/IS3336bq1evkkqlCATscG10dJRWq8Xq6iqZTIZ3332X\nH//4x4/0oh8lFnNNfn52wSZLdYhUGra3ZpZkRhJ+ynKbttql2rIFxucCpyRxdbFMU9HZ2L2OqoNT\n0/F7JeqKhaoZuJ1weCLC7GoDQzcxDNABnwOCPidNRcfvESnXOwzF/cwsV1kqtDg4EaGh6AiCwMW5\nIqcOpPrswU+L4Ozi8WG7mdnBiOYPX5siW5EZiftZLcqcmy1Qrrfxup2k437Cfhedrk3ucWgsxK1c\ni6+/MspyoUW5LjO3KmMJkK+quJwQ8LtRuioOwO2QkESBSEDitSMZ/uHsAh0Nri1WkQRwO8HQbfLV\nG2sN8tUO6biftZLMyQMpxlIB9o9HGEsG0LoGP/3tLY5Oxp6q/PVDKcGTJ09y5MgR3n77bQRB4Pvf\n/z4/+9nPCAaDfOMb3+AHP/gB3/3udwH4gz/4A6amph7pRT9KTGaCvLw3iax0OX0kQ72hMrtSodJU\nmc820Q0IeEVM0+6fmkjbPU+5skxDvj1a5HOB3+OgXLeVpQWoGlRbGmrXxOsWUTfyIW0Nkm4nE5kQ\noiBwYa7AiX1J4iE3rY7GW8dHQRBYL7VIRb2bVnwO/tzFi4G73XdRFBAFux925DU/bx4botLsUKjK\n7B+NUpO7fOvVcX5xfsUm/Ziv0mprXFuqousGa8U2AhDySBRbBh0N9JqKxwkOUaAmq7YXJ9lenGne\nfm3DgpDfY7d++eyVEZIAfo/ESkEhGXQjjkcZivuYGrKV9//gPtD3aO/HkD+O6Oehc4J/9Vd/tenx\nwYMH+7+/+uqrvPPOOw9/VZ8jths8H0sF8PtceFwOJvYGmVurM5YOUqx1ME0Tr0uio7ZJRtz8/hcm\nyFcVdF3H7RIolDt0DMCCTtfEGhCSQxNhAl4HqwUZtWv2G1AtYDkvU6q3Cfs99l6TpQpej4NO1wDB\nzsH864VVYiE3Y6lgfxh9qzDshsjPPwa9vu2qq+sVhXK9w2pZRpREvvPGFMuFFqt524OsNDo2HRwW\nhmGSiXlxinBjvUFHt/vkWqrRP59ugWSB0yEScrtIRVw02zrDCT/RkBMsgWZb5/h0nD2jEX736bqd\nD0/4WC7IXF+u0W7r/Kf35klEvJyftTc17h0Nb6v47ibDj4My7pllkXlY9D7UTasIKwoWcGG2QMjn\nJFeROb4nTshvT5lEQx4Eocxqsc1/fO8WdUWj09Hxeh14PRJ620AQBTqajiACJhycCDOeDvHhtRyi\nCOmYn0zUQ6HWYTkvc3A8xFg6xHK+QdjvIV+R6agG8bAXSRI4cziNrpsIIn3WmEE2jd7UyAfX8qwV\nW5vaJXbxbOBBDdhOCuH1IxlEQSAT9W6SkeVCE49LZK3QoNXRbRLftoEkiQT9bqyN+rCJ3cWg6Ta9\nXMDnYDjhZ2G9iWFp1Nc6qF2LYn0Fw7QYTXhwOh386Vf2c3mhTDJicw7qhrmxRMxARELu6GQkkYDX\nxWD/89b3vfV9Df7/cUQ/L5wS7H2Ypmlxca6w0WpQJuxzoRsm08NhLAtyFQUsC0EUkDsauUobw4Kl\nnMyhiTCrxSaabuJxSHg9AuNJP0pHx7RMlgptiuU2oiCiajpdHUJ+J0rXpNrq4nLCiX1pnE6J1WKL\n5XyTSrONpoPf60TTTJbyTUZTAS7dKPb3i/Suv9cndvlmia6m43I6WC+1+rscdvFs4EG9nJ0UQq9a\nPJ4KIEr2OsyzV3LkSi2GEwHWSy100yIedJOK2CNybofAyf1JZperVFoaoigRCUi0dR3DtBhO+JHb\nOqIg0FRUdEPD4xQRRZF6SyNX6/K/v3Ohv4B9ragQCbp5eW+ClUKT4/uSOEWbdT1Xbe/Ii7nd7pGt\n//+8ZfqZVoI7WdK7WdjB0EIQYKXQotXWEQSYzIQo1TvEgh6uLlaIBT0cHI2wXGyCYPMBmoDX7UBR\nTSzLJJ70MzXko7AxWicIIm4HOJ0iQa8Tt0PCMHSG434SUR9Bj5Oa3EF0CMwsVxlPBlA6Oi9NxZhf\nb6IZJv/vr2+Qivr52qnRbadDJjNB1ksya8UWI8ngprWdu3h28KBezk55tJ7S6CmZpXyTtWILRTXw\nuZ0cmohhWhbRgIdas8NSoYlDkmgoGi8fSPDLC1kaikHQJyABctvg4lwZh2hRaXbxu0WGEz72jkS4\nudZA7th572KtQ0O2iRLSMQ+v7E9TbnQAGI37ubZU5fxsAaXTJR0LIEk2Q/p4yl7A1Mt1b31fjzv3\n/UwrwZ0s6f1Y2N5e1kJVYSIVYGalyuHxKC63A00zWMjViQQ9LBVa3Fyro+kQ8Ao02xarhQYup4DX\n6UDpGsyt1Gh1NDwuEblt4nELeF0Sy/kmXc0g4HWyVpJZLyv4PU7iYR9DUR83V+uYCFSaHfZPRBFE\nkbZqEPQ6OTQRZWro9sjf1srwVnLKXQ/w2cPD3rftFp6D3a97fiZv789J+MmWWjhEkevLFbxuB3Or\nDYpVGbfLSbujU211CfmceFw2i3Rtg0g1FXYBFrpmohlQU0waikKt2cXjdhLwuNCDoHZ1PL2VnCNh\nBEnk0s0SXrfE1YUKH1zL4XY5iAZdHJqwSVYHGa+XC/57rg14HHimleBOFmOrpbnX81fyTT6+VSZX\nbTOeCbJnJMyZI8OsFVtEAm4QBCJ+J68cSPGrj9f48ssj/Idf3SQScBMNurk6X0I37FEjt0sgFfGR\nifvIlhWSMXutYTLiYyTu5/J8iXPX8kwM2UvW25oGCCRDHlySxJX5MhOZUH8J1E7vdVfxvbjYychP\npINkywqrhSYuh8TJ/SnWii3qisbe8SiiCU1ZwSEJ7B+PslaSOXM4zXy2Sr47MCyMRaGu4RQhEXSi\ndDQkh0Q44MbnkYgGvHznjSl+/v4CTbmLYZjohslows83Xh1HAFIRL4v5Bqf2pxhNBfsjn+99muX8\nTJ5TB2yG9J3G6B4nnmkluJMiWC60yJble05Z9J4/nrJd9XTUy0fX83x8o8jRyRjJsIdsWeH4Hpv6\n5/xMnpDfjUuS8HpciKLI3tEo6yUZWZXRdJMT+1LsGQ7zuyu5Pvff/HqN64sVQn43hydjIAosrDcI\nel04N6rT46kgk0MhkhEvqYiXSzeKm97fTu91tzr84uFuObQzh9P8u5Uqcys1BFHgwGgYj9NBKuTh\n5loDSZRodWy6tj9+c5rLN0tUGhoC9hCAye35+oDXydRQkPn1Jl87Pc50JsyVhTJXFyr868VVChWF\n8UyIl/Yk8DgkJodCiJLIhdkCwwk/rx7MMBT39RWgaVpYpkU87OHYdJzlQuup6Ht9ppXgTrjfnMKg\nAulx911ZqHB+Js9SvslkJsTVhTJfPjHK60cz/PrjVS7NFam1VLwukVMHU7x5dAgTi//20QouB+wb\njWJiUWuqHBgPEw16UDWT9bLCckHBwuLAaBhdN3E6RDTd5NWDaRDsdp3edTgc4n3lRHa3zr146IXA\n21VQ59cbaLrBSNJPV9O5vlxF7eropkUi7GE8M8pvLq1y+VaZ43sS/MEXJig32mDazNJLhSYTmQCV\nRhmPW2RmxV4utpZv8fWTYxiGyVK+Qb7UotkxWVi3F4OFAx5G08FNofnsSpXzs3n++M1p9oyEWcw1\nyVcVXjlgy/t4KrBpgfyTMuLPpRIc9JoetAfppakY0ZCb0bif8XSQZMTLmcNpTNMi5HPiddtbtUo1\nhbmlKmcOpnGKIhOZIPGQh5nlCrGAB49LsqtilsDrx4a5uVzlxmodw7DIVRS8bgfxkIeRpB2yD3p+\nW4W8d93bvZfdBuoXDz2i3fWSDGyuoNpL3gT2jUQYTgYwDbvToCl3ub5U5eB4lK5m0uyo/PqTNQ6O\nxwj53AzF/QzFbaorrWuwXuoQ9klMpN0s5ZqU6jL/5z9d4+ZqzW6pkUScEnQN6Kg633l9mNGEn7NX\ncpw5bHOLxkMe2/vb8CwHFeTFuWI/L39xrvDsEyg8zbibp7RdWHHxRpHhRIDxdJAPr+dJR30A/Off\nzvO7KzkCHidOh0i1qXF+toAkChiWRSLkZf9omA+v5cj52hiWQbtjsm88wkQqSKna5tuvxyjX2xRr\nbVJRH/lqm7F0sN+rOJjD3O667zY+tYtnH/eb2ljMNVnfaH/ZavymhkIbdPoyo+kg08MR/sS5x2aZ\niXjJV2RCPpt1fXapgr4x8nZ9qcNQ3Idl2TJ1Ym+cfEVGFASO7Uswu1Th/EwB3YShmJvjexJ8cDVP\nV9epyl1y1TaFeodfbew+Hk740Q2TI1PxbUf9BEHYdO1P0og/90rwXiNHW0vz6yWZ9ZLMP36wxIXZ\nArGQm9OHMizmG+i6gWU5ODodw7JMZEUn5HeyUrQtcnWmQ1Ppblg+C0vA9hI3EtaZqJdCtc3R6cSm\ntpaFbIPrSxWG4j72jIR3vO5dr+/5xv2mNgblYLsWsJ06ByRR5PJNu1I8knJzY7WG0jUo1dt43Q7W\nijIXbxRQOjpetz0zfH2pRjjgYTIToNzoYpomahfiYS+Hp2L9zod01IskCrx5fJjMNqOegwWQrd+7\nJ23En3sleD+e0qAF7glQj58tGfbikAS+fWaKKwslri/VuDJfIejzMD3spasZnNyfQhQEXp6O01S6\nHJ2KcWu9STzkIR3xcvZqjlxZIRPzcepAsm9tewpwpdjCsm4npHe67l2v7/nG/Rq5e6V7tpMT07RI\nRbx88/QYI3E/mm6idDSCHgeVeocjkxF76dInXTpdHY/Lw9HpBJZl98W+fmTY3l6nGVxdqFCsq8yv\nN5BEkW+8MobDIXJhtojTIVKotBE3egLhzvaupw3PvRK8Hww2mwJgWSwXWrzx0tDGdIZd7Tq2J0m5\noZIIezi2J8FEOsi5mQKpsIdff7JOqd6mqeg0FJ2vvDzClcUK7368Bti7F8ZTAc7NFFgvyX2B/eXF\nVSzL4vBkvJ/Y3q30vph4kGXrPWw3TjmY3hlPBVgutDBNi8u3Spw6kGJ6OISumxyejFOoypw6kOIP\nX5vkw+t5vG4nqmYxngkxv97A53GSjHgp1dsUqjZ3oYiAJFgkIx6KNRVTsA34UNzHeslu4H+WIpgX\nSgnuJEiDCdtfXlyl1dYIeJ2I4thAiNxiKO7jyFS8r8R6Cq1X3dJ1nYDXQb4i95O/k0NBYhsW1D5+\ncy7nqydHsSzbQt4tHNpthXmxMb/e4N1Lq3zlxCh7R8P9v28dp+zJD9iz8L30Tibm4+T+ZP/45UKL\nUr2DrBpYlsV7n65zca6EKIBpmqSjPk7sTfLJrRIL2QbFWptO16SrmQzHvSwXZAJeJ68eijAa93Pp\nRpET+5KMJAN3yOjTHsG8UEpwJyUzmLB96/gI2bLcZ5remmOZSAf54Foew7A2FKOfdNRHsarw20+z\nWJZJwOskGvLi9ThpyPZeVockEgu4MC3/ptWCvRwg3N1i/v/svdmPXed57vlbw57nee+aqzgVZ4mU\nKIqWPMh9ErRjO8ZBfGEgDXRu8g8YCYz8A8mNgVwHjUYaweluHKMbJ4mP2/GxJVuWSFmiOFgcisWh\nxr1rz/O4xr5YtTZ3FYtkkaJskqoHsCmy9rBqfd96v3d43ufdo8J8uWELEGwfxDZqYLbvH9M0UVWD\nYrXLRqXNRNK/hVXwjVfHef9q1ip46AZ9RSMR9rBvPMQb8ykuLpYoN/qASSLs4cB4iny1xxtHMizl\n2xyejvDmUevZOHUwMexwepjazfOKL5URfJxbLooCsixSrFtV2+39yPeyDXLVLvlKh0zMy2vzFnXm\n8u0SybCHyZSfkNdBo6OSLbX46vEM6ZiPa/cqfLpYJF/tkox4rTGfI4Zs1MvbG6K0h50wmwnyzdOT\nj1z/7R6XIAj89jNrUNfh6eiW94qigCSJ+D0O9k+EqLUG1NoKggC6YXJxsUSu3OHwdBRMk5urNaqt\nPrIkIMsS81MR0lEvy/kWl29bwr9geax2FAQPP7Cfp8jmS2UEH5dzWdpoouvmMGywF8owTN67bIXJ\nXpdMMuJlOhVAlkU0zRgOk7HpLuev5VlYrTKW8A811OJhD+mIB1F6kAS9217nPQ/wy4unESG1vL0J\nBIGhqOmoh2bvw7Gol5/9boUjUxFESUSSBKZTgSF7wRpLW8TtkKwhSmEvH17f4NZajXdO3Rf5sPfx\nyX1xUhEvykDj/as5zh1NI8tbp/s+T5HNUw9ff9Z40uHrzxpLGy3evbTOSqHF3FiIaNA9HHQ+Fvcx\nnQpsih+4WS006SsG43EfF67nublSIxpwIYjW0PepVIBo0MNsxhqOLooC0+kAkaCbRkch7L8/NB7u\nD9OeSQcwTfYGqO/hqXE32+TdS+uE/S5iITfRoPU/QRCG+9ntlKm3rX0YDbr56EaBj28WECWRs0dS\nNLsqkYAlkbWcbzGdCpCK+uj0NdaLbRIRD9GAm3jYzfG5GLGQezj8vdFR8LpkfnM1y9W7FW6t1nG7\nZKZSWw/+0T3/Re/zxw1f/1J5go/CTDowLFJsDz3tU67U6JGKeOn0NW6uVLiTrTNQVCrNAeuVDqVN\n3TRB2Ep3sbFd0HUn3tS9XPOBmbJ72MNu8bDcIWzNFY5Kb52ZT1Kq91BUnQvX8yysWh6eIAhDb23/\nRIiZdIBkxEs64uG9K1lM0+Ie2vvU7tk3TROf28FU0k884h12kIzieYpsvrRGcCeZ/dEiBeycdJ5K\n+hmL+/j93TLXl6qMxb0kI7LVZpcMDCvM1vsntyy0rW6j6yZX7+6cMxklbO+JpO7hSWC3qL1zamIY\n/o5ie8fG0BjqcWIhN2NRL4YJC6s1TBNmM/f3vB1G273tgihY8nCbYr52+ujUwQTTKcu7y5XbTCUD\nD4TCzxsE8zkZGlwqtf6g32cTOG3e1JNC0ww+ulHgzHyS9XJnaEzt3KJNexn15OzvPHXQGk+602vg\n+Uoa7+HFgb2/Xj2QGOb8HrV/7H22Wmjxy4tr/MnrU7x1IvPA3rOiEystNBqdjO5TO8qxn6fnaQ8n\nEo8uJn5pPcGnUZoZXUxZFnnrRAZ4kG6z3aMc/U6bkG2aPCCXNfoZ26vHDzOse3ix8EUah+3hLuyu\nOqvrBtGgi0zM+9DPXS+1ubFcIR31DnmKj6LnvEjSb8+3n/oFYlSx5VGwT7h7uSb3cs37XSUw5EON\n/tt2jL7GDrsvLZYQBLYISz7qM5bzVtHmvcvrLOf/sB7zHp4t7P20fR13s5ceB3tPz2aCO45leNh1\n7BsP8b239w3lrrZfnygKjMd9CIKwY65x9Lt3+zw9T/v4S+sJ7haPOl0fV+a/L3nUHr5me/P74/oq\n7W6Ub7wyDtuUN/bw4uFhEcizpIzspuiwfR/ar9+uym57btOpwGN5irvB88h33TOCI3hUM7qmGWxU\ntspd7bSg2/MkuXJnS5vckw6VGSWj7hVJXnw8zED9oY3Dw2YZb1dlt3vnnxVb4XmqCtvYM4IjeNRp\nvJNk/04Lur2h3f7TLprsRvFjFI97OJ7HHMsenhwPU3551NraBswmQz/N+j9u/OVo7/zLylbYM4Ij\nGKXBjJ6OFvXA5NUDicee1A8LM+DpQp6HqUx/ns/cw4uBx63tcr7Fe5sipt88PflU6/+4gsb23vmX\nEXtGcAT2BrDzdHYxw+6FPH0o+djT9lGe3dOGPE+ijv0k2PMin288bG3tdZtK+odtcU9roHYTnj6P\nIeyzxJe2OvwozKQDnD6URBDY7PDgsdW2x+HzGJyppJ9MzLfjCNHtVbknqTI+j5W6PdzHwyqu9rqt\nFtvsnwixbzy0Rb3l81SYbTzLz3resWcEd8B2qoE9yGY3xuthm+fzGJzVYptcuc1HNwqPpegsbTT5\n1adrLG00H3uduw3x9/D0eFpj8qj3zaQDnDqYGDIHbDzLQ+3LdEDuGcFHYHtP7+fxrmzv8mkMzkw6\nwFjcP2ylsx+QO+sNfvXpGvdy9w2eaW7981HXaU/82guFnw67MXA77YfHvc+mVl1cuP8++z2aZrCc\nbw3J9qP4A6hEAAAgAElEQVSf+3n22HY8Kvp42bCXE9wFnqT48LA8zk5dIE8SHmdiXtJR71Da6L3L\n6xycCANbm+Utj/XxfK7nka/1omE3+2Kn+/yw941Kt2VLLZwOmamkfwvfNFfusFHpcOpgYovBe9b5\n3Z3YEDvhZcgr7xnBXeBJDMZuk8iPexDs2RB2ZdguzABkS22anQHpqHc4t3i0I2U33/+yJ7v/ENjN\nvtjpPm8nJNuw98SpgwkyMT+31mosbzTJ13pkS23GE37OHkmxtNEkW+pw9kjqgd5deDYsgd3u+ZeB\nnbBnBHeBL8JgbN9ktvGzK9H2iQ/3Hxp7uPWttRqCYKlg23JHgrB7T3MnQ/uinuJ/TDztvtjJy7Lz\ne7ZMvWnCrbXaUMl8LO4jHbWGoxdqPd6/mqXS7KPphhVWmyapqPeR4euTeG27/d1ehohiT1T1DwBL\nAGGrUKogWAKs9t9twct01Md4ws/RmSgel3VG1dsKt9frNLsquXKH2UyQ1w6lmBsLEva7tohT2t9V\nbfR59/I6kYAlnDmKpQ2rC+BOtsF6sY3X7SASeLTw5B6eHXYSFF3asLz9sbifaNA9FDw9Mh2h2VVJ\nR71cvl2m3lY4M5/E4ZD4xivj+L1OAN67nKXS6BMLebas5ejes702e701zeD8tTzpiJeVQvuphHy3\n7+PnEV+IqKqqqvzoRz8il8shSRJ///d/z+Tk5JbXHD16lFOnTg3//s///M9IkvQ0X/fCY3vIsNOJ\nvP1EXc63EAS4tFga5n9GPTf7NTPpwBZv4sPPNri5UuXgZASwCiTbZb9szzJbaj0wHvFZdCHs4dHY\niQC/U2SwXmyzWmhRqFoTDdObIy1Xi17G4r7h2kynHhQEtvGwDiaAj24U+PXldUr1HppuAC9uSPt5\n8FRG8Kc//SnBYJAf//jHfPDBB/z4xz/mH//xH7e8xu/38y//8i/P5CJfBDwqxNy++ZY2LAn0r78y\njiSJD7zHJmu/sj9OJmZJ+4uisOWhubPeGI5gtHs8DcPk5kqNVldBAL52chxMk3/7cMkamD2y2c8d\nS3Mv531AFeRZdCHs4dGwCx3ZktVbfvZI6oE9c/5ann+/sEQm6mU2EyJf7XL6UIKJhB9DN/gfn6wh\nSwJ+jwPDSD2wjvZ+nIj7yJV9TMR9Dxy8tuLzqCbmlxFPZQQvXLjA9773PQDOnTvH3/3d3z3Ti3oR\nYZ+4tir0aMP59vyKTV/ZqHQp1LqsF1p8ervEd96cYf9keLgZdd3g5kqVTMw7zP3ZBRBDN2h1FUzT\nHFaLv3pijMPTEXTdJF/tUm0NKNa6tHsqR2ej/NnZ6aEnOOppjuYTZ9KBz92FsIeH474BbON0yOTK\nHT66URjK0pumVe1PRzxkol5OH0ry5pE0Hy8Uh8O9bq/VWStaNJlXDyS4eseiygS8DkRxassM61zZ\nx0alw8cLxWGOedQL3UkT88uGpzKC5XKZaDQKgChayXlFUXA6ncPXKIrCD3/4Q7LZLH/6p3/KX/3V\nXz2bK35OMdp3fP5a/gEBylHYNBbbA1wttqg0+uSqXfZPhjEMk1y5Q3wzlzcqdW7oBr/6dJ39mSC9\ngY5pmIiydbIX6z3y1S6vHkggyyLZUot4yE2nr3JsJjo0gB/dKJArtzl1MPkAr0wUhR2veQ9PBzsV\ncfZIClkWh8pCdqV3tdgeHkrZUoeF1SqCIHBoKsKfvzXHbCY4fM/563nGol7Wim3CfifhgJtY2M0v\nP1lHFOD0weRQuHdU6t7+jlG2wYte0X2WeKwR/MlPfsJPfvKTLf929erVLX/fSaH/b//2b/nud7+L\nIAj85V/+Ja+99hrHjx//nJf7/GLU2xtP+DYruA++bns+cG4syFTSjyyKw/DEztV87ZXxoYabnTf6\n4LMNTNOk0urTaA/IVjtMJqyc0HQqMPTwrAfMh6rqrBRafLZUQdMNrtyWKNV7HJmx5tCuFtt/yNv0\npYO9lmClIEzTMk7bRQpEUSBf7TI/ZTkX+UqHiYQ1LH0q6efK7RKf3MwPZ4PU2woBr4uxqI+5sQCq\nZiBK9+Xw3720xvx0lOnUg8IIL0NF91nisUbw+9//Pt///ve3/NuPfvQjSqUS8/PzqKqKaZpbvECA\nH/zgB8P/Pnv2LIuLiy+1EYSdBSi3G73tiertYQlYBswwTTKb5GiAO+sNsqU2C6s1Ds9ESYY8rBbb\nCKbA5dslXt0f5/z1PBgmG9Uu2XKH8bgPSbTUgFcK1nVZ7XQmmZiP1WJ7zyN4RngY/cQ+2GxO36gQ\nx6igrl2sGj0IJ+I+q7NEN7iXq1NrDXjn9CSCIHDldolDk2EK9R4+t0x3oLOxKXclCNDqqbx/ZR3T\nNCnWeg9MONxb7/t4qra5r3zlK/z85z8H4L333uONN97Y8vN79+7xwx/+ENM00TSNS5cuceDAgc9/\ntc85Rhvb7V7j7b28o+1IO0n32+HTWNTL5TtllvMtljaa/OsHd/nFJ6sUax0yUe9mb3OIM/NJMjEf\n2UqHX3y8ysXbRZwOiYWVqjX1ThB4dX8S0zQ3qQxwepNeM9pmNdqW9WVpnH+WGG2PG22Lk2VrJKUd\nko6mH+z7P5qisNIjFo/wwo08/+23d7l0u0itOaDb16k0+ohY0Ve50Wej3MHldOB1ycMOk9lMkNlU\nkG5fo1jtkop60XXzoWMinhQvm7jCU+UEv/Wtb3H+/Hl+8IMf4HQ6+Yd/+AcA/umf/onXX3+dV199\nlXQ6zV/8xV8giiLvvPMOJ06ceKYX/jxipzBjey/vKFF2KulnJd/k15fX8XscAOTKHX59eZ2vvjLO\nqYMJFEXns3tlyvUunb6OIDjZKHfIltqcv76BYRjohkky7OV/en2SiZiPmc08kk1zEQS4na0jCgKC\nIDAR9wFs8Vxsr2SUpL3nLeweo2tvG8TtUmy6blCo9YaE5u0K5OmYD9M0hyHs8kaT1WKbdk/B5RQR\nRIHVQpPF9QamoXNzpcLbJyc4ezjFf/nlLertAR9c22Ay4efb52YQRIFSvUutPUDAKqLYykjw9Ov7\nsuUUn8oI2tzA7fjrv/7r4X//zd/8zdNf1QuKncKM0V7e7coty/kWH36WI1/tcmAizFTSz1TSj24Y\nGLqV3P7Z75bJV7sEPA72jYdpdFQW1mqIAmCY6LqBLEvkq10mkn6mUgE+vLaBaVgh2PlreV47mODw\ndJR40I3P3SBX7SJsDnyyr3Embc1M1nWTTMy7ly96Qti5u/PX8pyZTwKW931xoUg65uXUwQTZUof3\nr2YBGIv7HuDv2cbSrtYrikbA7eDNI2kkh4RgmFSafSrNAZIId7MNLi8WKVc73FyuIogixVoHn8fJ\nd87NcXwuBmaUXKXLRqXLeMI/JGjvlKrZLV62nOJex8gXgFGWPkC10ef6Sg1NM7h8u8x4wuoKCPmc\npKM+FNVAFASiQQ/xsIfVQpv/cXGNRNjD6YNJxmI+zhxOMzcWYv94mE5PA0z6qk67p1Bt9ig3utRb\nPd69vM7FxRL3ck0W12r8/m6FdldhtdRm31gQl1NmYbXKdCpIJua1KpVxH5IkUm8rXL59v2thD0+G\n89fy/PryOg6HxMn9cYJeJ3eyDRrtPuOJAMdmo8iyxJn5JPW2wljcx2zGml/z/tUcUb8TQRQ5NhtF\n0wz+r18t0u6pVi55o8mNlRp9RePEXIL5qSj3NhosbbSodxQGuoEkirgcEi6nTMjv4k62wXjCz/xk\nmE8Xi5w7mkYQBG6u1BiP+1gptLm4UKDeVphI+Ld0fezU5WTjRegSGcUX0jGyh0fDDhdM02Sj0uXj\nhTyVep9TBxOkN/s7DcPkbrZBodbj7RNjvP/7HMpA43/79+u43RJup8RY1MvBqTD7J0JDbplDFik1\neogilBp9fC4HmmbQ6inka300zcDvkTk4GaLe7GGaBopp0GgPuHKnRDzkAUCSBDYqXd6/mh1KqBuG\nySv745imOQzl9rB7jBZBwEp9qJqxpSsnHfXyu5sFNioW+dkqlhT51cVVfnc9z76JEBMJP5/eKnBj\nuUYi5CZX6tDoKTRbKpqmUW50uXS7iEMSCXhlIgEH9VwfTdRJRz28sj/B64eSfHyriKEb/OzCMpdv\nlwj7XcRDHv7j41WKtS7f/crskNO6fX7IyxbyPgp7RvALwGjrU67c5rUDSUr1HiuFFtXWgLG4zzKO\nN/NUGn1OH0ry9VfG+en5Ja4t1XDKMJ7wk6t0yNW6YJgsrNaQZZF6q48gCPjdMpqmMzEZJux3UW8N\nCAasU9shCMSDHi51VdxOk8/uVFB1g3yly1jCx2wmxHQqwGTCT6ne48x8cjjVLhOzyLXbBRn28HjI\nsjis8ttcvdOHEsP2Q5vUbpomh6ejZMsdNsodZIFNz0okHHAxEffxy0/66AY0u30QRXTVQAeqLZWl\njRaSLDCbCdLsaJQb/aGYRq7SQRBK1NsDljYaBLxOogEXybCHcNBFOuLB65Yo1bss51tbJNpG8bKF\nvI/CXjj8jDAaPoiiQMjnpLZp8I7Pxai0+uTKbY7Nxmj3NXLlNvvHLT1AURCotgZ0en2a7QFHZsKE\nvG5urlT59FaRbLlLs6NQafZotRX8Hge1tkK7o7Be7LJWbNFXNNaKbQZ9jVvrTTp9hTPzadwOkcW1\nGuGAi9OHkuwbC9PqKnhcDm6t1am3BrR6Kkdnovg8juGfo839e3hy3M1aBm8mHSQWcmMYprUfoj66\nA42pRICLt/JUWwMqzS6ZmJ9irUerM6DaUshXuyiaTizoYd9YmGjARaXZQ9VBFg3+89v7uZNtsFxo\n0OjoyCJ4XDKnDyYRBavAJggC43E/mm6QjvlYzbdo9BTmpyKc3J9A3MwLj8V9NDoKAY+D5fz9Pfwi\nhbyPwuPC4T1l6V3icbSA7QrCtmcFFudrYaVGb6ABAvlKl/FEgEzU2nxOh8hA0dAMAbfHwUZ1wK1s\nnXp7gKbrSKJJX1Ep1gZU2ip3cg1MQDdABwYaeF0SA0VjtdBBUTSm0kHOHUtbeSKXzJGZKCf3Jzh3\nLM1Y3A+m5aU6HRLZkiXdP5O22rJ2O0pgDw+HbTsE4X6r3Ke3Siys1fj0VpEL1zco1XusFdvkKj3C\nPieHpiJ43Q5uLJfIVzu4ZJHuQEM3DWqtPvKm/ki3r/Pzj1e4tFikN7D2oyhCX9PJldtcW7b22mwm\nxLfemLbykTNRKs0+n9wscv7aBmAxFk4dTGCaVsX4oxuFL42k/ij2PMFdwpa6epjs1HZ5JPvvpgmL\nazUCHieCKHBsNgYC6KrO5TtFVoptTu6LEw5Y3sJMOsjXTozTG2iU6116qslkwvpMRdVwyAJep0ws\n7KVY72MOv1/G6XTidkA06GF+Okq2aJFnvS6ZmVSATxeLZMsdGp0Bmbif8YSfM/PJTYmunSW1HpUg\n/zLhSe9D0OtkoBocm42yUmhza7XGWNzPdCrA4mqVZlclE/Nx5nAKp0Ok3VNpdgb0BxrNjkZvoGOY\n0OyoZEtdah0VhywQDbhwOSU6PYVGVwfA7bCoT7pu0h9oaJrBgYkwsiSxlG9Ra/YpN/vsHw8hIqDq\nOgPVILdZMZ7NBPG6X94oYK8w8ozwuBzJKD1mlHpg/2zYH1pu89urWcr1Hj1FJ+h1oJkmYyE3qqoj\nSgKiaHV4BHxuVL2H2yGQHA9uGlWDWkthKuZFMAzWSx2aXY1mR0WUJP709WkcssSni8VhD7IoCHT6\nGn1Fo9XTeO1gcotAQjrqfSgt5kVJkG+/509D/XgUZWQ392FUScgmP68UvAC8sj+BJAlMpwIcnYvz\nmyvrlOpdokE3fo+LfLVNtTmgUB8gAgIgSwZel4jf46RQ729y/eIcm03wwWdZyvUSBjCXCXDiQJJ6\ns8+VOyUEAd48kqHY7PHB1RzpqIflfAevW8bjkhioBtVWnyMzsS0tmY8T4X1ZxXf3jOAusZtWo+3q\n0NtblWyiqssh45BEBoKOyyFz9XaJC5/laHYUHLJEMuKh3hoQDrgYqAYXF6uIApiA2yngcztYKrQJ\n+V1MpUUW12vUOjoCOheu5UhFfWiahizJYBocmo5yYCLCJwt5Ot0+H36WZa4SGoqw2pJcO23w5yFB\nvpuHcDnf4uJCwSIdR73DVMSTGO7PO995u5JQOuYjW7J0G4v1HqmIF9OEY7Mxqs0et9YbRAMulvIt\n6q0BYCAL4HIKOGURTTeZn4kS8rloXsvRHZgsrNYZSwQxEQgHHLR7KiuFNuGAm5DPRXegoekGH17L\n0e5rFKpdDk2GefWgh2jA6jXON3qMRbwgWB1NtkjDw373F+UgfFrsGcFnCHuzvHrAEkE1DJNLi/c3\nj2mCz+2g3OjSGWi4nBIn9seJBlz8xyerdAcaJyfDfOXoGLCKLArUWz18LhnV0HFKEk6HSKmu0Ggr\njMW9aLqBLAo4BBMTWC91WSl2iQacJKMyXo+T/ZMRzhxKceVOiU6vT73Tw+dxbEo3WQH1w8Qeljaa\nj51c90VjtwONbOOTiXmfauraowzdbg7BUSWhlUKL1XyLy3dKCGx69l4nggBX7pTYNxEm7HdjAIqq\nEQ64WCkoGIBTFhloBt2BycWFMkGvjFOW6SkqyZCbsNcBpkEy4mUmLXJrrcnvlyokgm4OT8dYWKlw\nbck6OCNBF0dnYvzi0zWqzQFOh0yp1kMWRW6uVAFLN3J07sn2Q+d5OAi/SOwZwWeIncRTXz2QYCrp\n516uyVTSTzLixe+WMA2Tekfh5nIVSTQZKBp9xcTrkvm/37vNWMxLpdlnoELAKzDoABJ0eqr14Oiw\nXOg+cA0eCaI+Byf3x2h0NfIVjYWlCh/+PstascNYzEMmHuGbpyaHwq622ANslX5aLbat/mNAFP94\nAqu7HWh07lj6c4Vtz0pYwPL6BS7dLpKvdHn9cIrpdJBvvzmDLItsVLpcu1dmvdQm5HMwUA2+95V9\n/L+/XaTZ0TAMg4DXyUAZoJvQ6WtEAw4MExbXG1xfrdHpW+K4XifoOkgS9BQdTBNREIkEZZpdDVU1\nuHBjA13XCfu9aJrOyX1x5saCJEJuri9VmYj7trRzmqbJu5fWeefUxHCw+8voAdrYM4LPENvnFNuK\nIatFi5l/VZZQVA2vx4WJQLWl0mirCACb4e6N5Sq19gDTtB4E04RiXUWWoNXT0Iz73ydLVnlf0cEp\ng6KBAYiSxJ2NFoVKl4FicH25iiCCqkO5MUCWHdRagweuGR6UftpJtv0PnSN6Hibo7TYkH22F+5/P\nzPCLT1aoNPr8yZmpoZ7gmfkkCytV+qrOTCCAYQpUW30ERHxuifnZGMVKh7G4yEa5h26AqoFDgqDf\nyVrx/uFnmCBJIrphUG30MTQDVddpdiEd81mzRHSTvqJza7XOxVslvnNuloNTYQq1Hpdul4iHPbx1\nIjMkydvRwR87AvhDYc8IfgEYFbW0Q6N01Eeu3MHpkDg6HaFY67CUbxMPu1AUje5Ax+UQePvVcd79\nZI2eouOSdWybp+pbv0MAJuM+eopOsdZH08AlWQ9F2OcknfSiqzrVjkKrq+OUwOOEmUwAENAweefU\nBLOZrUZjtOtBFAX2jT8osLpdIOCLMobPU0L+USH5aEEEGF5vpdUnW+0S8losgaWNJr+8aMnia7pB\n2Ofk3JEM11ar3Fip0OkpTKcCzKb83F2rM1A1tE1D5HaJpKJBegOVUdukqCBgEakdEnRVjYFi0O4b\njCcE3jySodzo8fbxMa4tV1hYqaBvTqhLRzx4XBLpiGfovX56y+p13mlvvKzYo8g8BJ+HGjJKlK23\nFd67vM6x2RiSJLKcb3B9ucrRmSgblQ4DxaIr+L0uvvPWHF89Nka20qHVUam1B7hk0DTL6G0/mJsd\ny0OUJRN5s6So6dDsDri33qbe1RBNk0jAyXjch9spMTceIV/pUK73CfpcTCT8Q4KsIFjinlOpRxsd\nm/4Dljz/551W97B7/Tha0qPe+6yx04S47dfp8ziYGwsOfz5QdDYqHd44muGV/XFqrQEf38xTrPU4\nMBnhnVOTXF+u8pvL6ywXunQGBu3egIWVOs2+zlzay0A1GI95UXUQBZNsqccoVVXajCAkYDLpIxZw\nI0kiTtninF5cKKBoBgGfk7Vim+5Ao9ToU6h2iYc8lBs93C4Hk0k/Yb+LamvAworVW97sqlsI1C8q\nbWaPIvOUeJKK2HaPRRDY7Bu2KpVg9eqeO5ZGVXU+vJ4nE/Xyn85M8fvbZTRD5/SBJNVmn389f4+F\n5SpdRWOgWp8f9Eh0+zqYYIx+L9DoaPi8Ep2+5Sr63AJnj6T45GaRbt/g2L4YEb8Hl0MiFnKzsFpj\noBoIgs7FhQICkK92H6hk7wbTqfuKJE8Lm0icKz8o3/WoXKB9zw3D5PLt0o5e6bOgzdh4VKi906Q4\nuxf3z9+aG4aVc2NB/uJrB7ixUuXbb86wVmqznG/idjvQTYWBCi5ZoN61Vrne0ZBlCcMwaHUH6IYM\nAjhE0E2sdrugk0ZXwSEJuJwSs2Mhwn4X93J1TASKlQ7xkJsz85aqzf7JEB9ezXHh2gaxoJv5qSi3\n1mqMJywxh82BsBRqXfLV7pdCWm3PCD4ET1IRGxVMEASLC3ZkJmZVKqNeDm/KnIuigCSLdHsK//HJ\nKppucf5em09RbQ/45cU13G4JAZFE2EOh2kMCPG4nsqTRHaj0Nw2jy2FVEcN+F7WWYgltArpu0u6q\ntHuGVWmUJMYTfm6uVIiG3RycCNPs9JEkEa9LJh50W50LhRbFeh9gR77jqOH4PJSJnZS2c+U2Y3H/\nlgKSPQ9j++cris5PLywT9rso1XuMxX0P1ckbvU74/Dp6D/s9wDr07mYbCIJNhSoN58T87HfLvHIg\nMRyUpBumJZ5aaFFp9Ah4HPT7ViQkihJvHI7R7qnohslasc1Ky/rZQLH+1DeNqssjEfa7aHQUJEFk\noBrcXKnR7CrUmwoBr4TX6+bwZISfXlimVO/xzVMTSCfHuXirwNimruQnCwWu3C5hGtbBfWQmumX+\nyeiY15cRe0bwIXiSJPuoB2BTYuxKpbG5sWy16XNH09xeq3Ev1+SV/XHeOOLjzaNpfvXpGqoOakdH\nFnVifidel8zByTA9RUc1TIIemRv3ymgGnJiLsZRrUqr3AHA6QERgoJk0+zoO2Wron8kEiQWcLKzW\nabQV9o2HGKgGvbbK7HyYUqPPpcUS0aCLM4fTWzb7w4zd56FM2CIC33h1gv0ToR3FSB/lffz3j1Z4\n7/I6iZCL8USAG8t9dMNkLObj1MHEFp280RydvT7PSiFnu4H91afrFGsdkhEv33h1Aocski21Kda6\nbFS7dD/LcTfr48B4mHTUqtK+ezmLopkkwk5cMrR7OkGfg2+8Oolpmvzzz28MPXxg6AUamwUwVdEp\nVrv0VeirOuMJGcM0aLZN5M0uEtMwOH9tg1u5OiGvExNLnMM2gNlSh25f4dJiiUTEy2vzqQck+F9W\nD9DGnhF8BrA3jP1w2d0hM+kAmmbw2b0KE3EfmmZw/lqeqUyAjUqH43MWVeHfPliiWL9f8dMMqDSs\nlrlCtU2u0sfjkugHXQiigGCadHoqja46LJgIgMth4vfKHJ2NUNgML6/cKfGZKNLqqphmG0kSODQZ\nRhRE/uzstDW+ExPRvF8MsXFfaNXgznpj2FP8eaqwoz212+/dThPS7uWaWzzRPzs7bY0K8LtYXK9T\nbgzoLBa57XXyzdOTAA8Nr0XRSvw/C4Wc7QfB4ekIYDI/FcU0oVS3hiadPZIiFnSjmyYiArfWqnT6\nGpgG3e6AWMiF2ynR7oHLKSNJEhvVDqVaj3Jts4IPeN0C7b65hR3Q18A07xtJy6P2EQu5CBkuNE2n\nUOvRH6iE/S7OnRgjW+6wuFZjfjrKzeUK5UaPc8fGcDok3jicYn3zvo1iNwWq56mI9aTYK4x8TmxX\nj4kEXEMvwet2sLBa55ObBWRZ5MqdMu9fWWe10CLkdzE/ZYUpF67n6fatDS+YJh6XiNftpNXXMQ2L\nFuNxyqg69Acahgk9VScV9iJioukGHqdAOuYnGnAzUAxy5Q6aYc2x/c65Wdo9hcPTURpdlZV8C1kS\nUXWTqVTA6m9er1NrK1bV0u/CNNnsfoFfX8mynG8SDbp3VQB5VLEi7HcR9luzTqw/rZ8vbVhDiDIx\nH82uykw6wEqhvaUwYj9o6ZiXY7MxBprBG/NJDk6EcTolAm5LXefWahWnQ+K1gwlWCm1CPie6bnJ9\nucrB8RCzm8T1z1NQGRUWFQSByaSfaNDDiX0xGh2F5XyL43MxWj2VVk+lWOtyYDzEWtEarVmqd+gr\nBlG/m8lUgGjQTU/RmU4FWS916CkaogiNjsp0ykfY76DSUh+4Dn2kSDJQDWqtwWbXiMU5bXRVTBP2\nT1hKNB/8PgeYvHYwSbunsVpoE/a7ODgZptlV+PRW6QGR1d0UqHbzmj8WHlcY2TOCnxM7Lf5oJXE8\n7kOWJVIRL9lSG7/Hgd/t4OS+BH63zNW7ZaZSAV6fTyNJIiG/C1EwKdSsuRDH9sVxygIOWQQTnA6B\n+ekYhybDvHNqgkK9S6Hex+OSGY/7KTcHmIZOf6AzHrdUq+NhD4V6j2ZPJexzUW32iYc9KKo+vM56\nW+HmSo3lfJNIwMXNlRq3Vmtkol5cDpnjc7Fh18vjjMejHghBEKi3lQeqyqOCE5cWS3hcMqYJmagX\nE8tgLudbvHtpnaWNJopmbI4UCIAg8OvL62TLXWbTAcr1PuVGj75icHu9jtft4PpylV98vEoy6mUm\nE3zmD+2oUQz7XUSDbgQB3r20TrneZ24sRKOrcOFanoDXiSSK1LsaiqaDIJCvdFA1nUNTUY7NxvC6\nHTidEsu5Ji6HRLen0lWMB77X47CoMYZh5YSNzf8TRfC4HTgk8Lpla+hXvkmzo3B8Ns6bxzMcnAzT\n6qosbTTYqHSZTgUoN3os5xtEAu6huvijKuM2dvOaPxb2qsPPGLtpKRoNF0VR4K0TmeHksYm4j48X\nind4YzIAACAASURBVJyZT/LT88tUGn1m0yHOHcuwXGgR8DiotvropkV/6HYV3jySId/scvFGEbcs\n0O2r9AYasiQRD7rwuERE06DS6CCLApIoIogiq8X2Zjhept1TEEWRPzszzfx0lDPzSdbLnS0iCsmQ\nm3yth65bwgtjcT8IVqVwIul/YEzkbqulu/25YZhgWurW2XKHfMW6ho1KZ3ivv/7KOBuVLq8dTHBx\n8X6Lmt/j4NBUmPVSh3sbDfqKxtdPjjORtOZqGLpBLORmbLNa/0W2gtnrr2kGhyYjFg9PEtFUK+d3\ncDKMpulUmzmOTIfZPx7hvSvruGSJK3dKVBo9VouW4OlUyoem6dRaGgBOEWxbKAI+r4tTBxPopsGH\nV3MYJozHfHjcMqIo8tbxMWRRIBnxIgqQr/WG4z9n0gGOzcZY2miwfyxErtLhXq5BXzVgM3dqv+5x\n6YMXuatkzwg+IbYXC0ZzWtvzV6MJ+pVCC10z+OmFZVTN4HemSbnZY24sRKnR5b/88hbZUoegz4Gm\nm3gc0FfhxmqTQr1Pr6/QVUB1gs+j4nI5uJdrWIRa3QQEstUeGBANuhmLeynVevg9DnQDWj2dVMSJ\n7JAeaC+7l2sOVaXzVSs3aSsiAzsa+8e1sI0+EI/LF2mawb99uMS9XANRFHhtPsVGuYNDFkmG3KQi\nHnTdGgUqbBrli4slcuU2H92wcpnvnJokV2pzcdGamREJOBElcUu+cToVYGpkGPmocoq9tk+T03rY\n77dabFOodRFFgWzJmhrnccksrtXwuBxEQx7afYNae8BAM5lOeclXu1xc2KDa1Li1WsfjkRn0NZTN\n1J9u3OeMjsfd9BSTWrPPQNUxEXA7JTxumdPzKWRRJBHy8P7vsyBYh/H+yfCWnKkgWF6sKAncWq3T\nG6j4PE4QhM/FAniRsGcEnxAPMwKjKibnjqUB+OD3GyysVokHPZSbfUr1Lt2+xmvzKRJBN+/Xe5w9\nnOKjmwWiARfH98U5PBnmf///btBXQRTA6xZxShId09r6igrr5Q5Bj0zA68IEon4X4YCT22tNHE6B\nzkDl1USc1+bTpMIefvLr2ximQSTgYiYdGM5CjgbcnJiLYZiWJ3hmPsnHC0Vy5fbQ84MHiwtP+kBs\nf5i2/90W8xQEgVjIxVjUiygIXF+q8F9/c5cjk2HKm2MF3jk1welDSSbiPv77Rz2ypTbLect43Fy1\nxEQjASevH04zlfTzm8uWbNlKsUWlYX3Gn781C2wtoMDTU2geV0WfSvr59/M9sqsdAl4HHpfA6YMJ\nAC7dLhHxu0lHPCAIeNxOys0+OoABMZ+Tkq5jmCYBj8wbm9SVGysNSo0+hgHdgQfDMDh1IMH0eJBr\ndyoIpkCu3OHWao18xeoHFkWBVMTDjeUKh6ejw70Q8DpJhT1UGn3eOpbB5ZK2dIu8zPQY2MsJPjEe\nNmkr4HFwJ9uk3hrg8ziotxU+vpnfpLCYzE9HmEz42TcR5j+dnmRhvc7CSg0E8LgczE9HOTgZZm4s\nhEMSWN5oEPI7eG0+xdGZKG6nTLs7GOaFugMD3TSJhTwcnY2Rq3SptxWcsojL5UA3TF4/lESSRA5P\nRXFIIoVaF90w8XscfHwzz51cg7sbDW4sV+kNdGIhN36PYzgF7Vnldh4mOGtVn0FVdRJRL28dy3Bo\nKjK8n62uwt31BpppcGIuTiTgotYa0O6qGKZJttwmE/fR7qlkS22CPidfOznB0dkYJ/fFOX8tz3/7\n4C7ZUpujczHG435UzRiujy10enwuRtjv2nJNuy2aGIZJtTnY8Z7Ze0UUBQ6Mh6i1B5TrHfqKzmTK\niiKaHYVk1ItTlrixXCMT8xL2yTTbA1QdDkyESEd9SKLAN05PEvC6aHUHZMs9NANkEU7sj7Na7HD2\naJqJqI/Lt4v0ByoD1eCzpTKiIBALehioOiBQafY5Nhuj3lYwTZO5sRD5Wo+LC0USES+hzeLVyyKx\nv1cY+QNhOd9ivdhmPHH/oQr73RybiTI3Fibkc3I31+TQZIRmV+XIdIROXxuGNvsyIf6f39whGfay\nUmhyJ9cAw6TaUtmodGj3FNwOkXpHwzTBKUEs6CQectEZ6ByZCSMADknA7ZSRJYG+YnBjucpsJkS5\n3ufmao3VQoeTczGOzcXJRH1MJQP0FI0jM1H8HucXMnJz+8FhmlBvKwS9Ti5cL3BrrUbY7+bkgTjN\nrsp7l9dZzreYSPiJhtx89fgYAa+Tn/9umct3ytzdaJKJ+gj5XWSiXhbXanT6Kq3uAK/bycn9cURR\nQFF18tUux2ZjfO/tOQ7PRPG65SFfcCzu58S+2LBv1r7Ge7km715aJxJwPfY+2FXtne6ZXSW3W89U\nzSBf66LpgjUvpquQjHhptBUEARodhWTUQ77SpdJSMEyQBYN2X2WgGZimyQef5ak0+zgkUDSTgFdm\nMmntuVTEy7XlCteXqqwWO3QHKgNFRxIFZElgfirKuWNpYiEPhmHy7+eXyJU77BsPD8eB2lqMz2OV\n92mxVxh5CjwN52k0TLbfs3/ivviAYVjdJKZpboZOSf78rVn+9YMl7uaaNDtr5KtdfnFxhWbbaqEy\ndYO+2sPrcaAoOn6Pc/h5qg6NrkrpbpWBanJrVWY87kMQBOanIiQjXm6uVMmWu6wXm9zL1wn7HNSa\nA3LVLl9/dZwDk2EMw2QqHRxyG5925OaTcMls0dlsqc3NlSqiKHBjuUIy5CZX6bJvLEil2efTxRJ+\nj4Nio08y5MbrdnBuIkIq4sHE4sWlIh4ckkS93aE3UFlYrQ5ltfaNh/je2/uGOVm7fe29y+u0eyrf\nfnN2qJc4OlfFft1uVFQelSO1w+T1kqUi5Pc4eP1wmrGoF8O00h2GCRuVDhdvFegrOr+7XkDXdSTR\nyv/5fW6KtR6KpnPtXoWAx0ks7KZQ7aLq1kzi89fyfOVYhku3SxiGwfF9cfKVNoemoiyu1QDrIBpP\n+IYzZO5mG/g9Tg5PR4ZrZhfwJEl86UPgUex5gjvgaegTjxtIbXs/06kAHqdEttJhLOZDEgTqnQF/\n+c1D1DoKYb8bl1OiULVyVQ5Z5PB0bDOUsQQ4dRNCHhFJEnnzSAq3S0YE4iEPnb6GKIqc3J+g3bNm\nhwCsFjq4HDJul8R0KoCmm8OQJ+SzPLLFtRqiKLK4Vt9xIPdOsL2danMwpL2EfM4dw0nbw5pKWFVn\nQzdY2miSK7fpqxrVlsKni0WW820a7T5Oh0gm6uXGShWv10G7qzG9+XB+ulhi/0SITk9jpdBE1Q1e\nP5xGRKDe7uPzOIe8xqWNJv/24RLZUoe5sSBup0yzo+JxyXyyUHyAA2lTXHaTEnjUuod8zs3vUmh1\nLZ7mW8czxMIeQj4nv/1sg2ypTcDrpNVVeX0+SSLsBkFgJulHNw0OToYp1a17UW2p+D0yf/G1A3T6\nKuVmf/NwhalUgEZHsZ4jAb73lX2cO5ZBliTOHk5zcDLCRqXL+GanSK01YG4syIl98S2H1os2WH03\n2PMEnwK7adzfrZe4vdEfLJrC+1eyVBp9ljYaVJsDri5V+OrJcQQBBn1tMxz0Eg9ZxODffrZBxOfg\n+kqFwUDF63ZRqPdxOBzMpBx8cC2HWBXweZ0cno4yNxZkJh0gGfHy2sEEH98qkg57yNd73FqtcTvb\nGAqlWv27Fh3l7JEUF67nubFcIRPz7iilNQrb2zl1MDFUc95eKLAr5+vFNoZhcm25Srlh9SlHAi6r\ngqpapO94yE2h2kGXHEwmrftfafSp1HpIIiysVCnVu1RbA6aSfuodhYMTEWRZJB31Uq73GU8Eht0m\nE3EfV26X0HWDQ1NhplMBVFVnUYTTBxKMxX3o+tZ2umcpriqKVjX7yExsWDC7l2uyXmrz2d0SIb+L\nP//KLBNJq3d6aaOJKIoUa11iIQ/HZ+M4HTI+t8TPLiwzkwkgSwJvHR/fPOAEjs7G+M65WS5ct3Kg\na6UuYX8ep0se0pvWS21+8ckqCDCR8HP5tqV1+aJ1d3wR2PMEd8CjTsNHeYk7dUosbbS4uFDENLn/\nEGoGsaCHd14dJxX1kopYA7AvLRYp1fsU6l1W8i16Ax1F0wn6XJzcHycT8/HRzSKlhkq9o1qFlPEQ\nK/kmra7CV09PcHY+jccp8dvPNtg3FoLN38XYFHc4PhcjGnQzkw4OPR27UHF0JspqsY3XJbNSaDGT\nDj42J2a/dzYT3CQICwQ8DhodhaMzUYuku2GRnKutPomwF1XTmR0LcWIuxkQiQDrqJeBzMp0KkKt0\nqLYVawaLalBv9wl4HVRbCiv5JrGQC7DmrIBJq6vicko0uwrJsJdKo8900s+NlRqfLBT4/b0KV+6U\nkSWBs0cyXF+q8l9/fYf1QhMDgXPHMzQ6D5K3d1rL7Tm+3RROrHuhcvZICkkSh/tnfybIWqlNo63g\nkEXafWtK3K+vZOkNNA5OhnHKEhoG68U2J/cl8HmctLsq15ar9BWNZMSLIIhMpwIYpkmjq9DqqKSi\nHv7XPz1Mq6eSjloFG00zWC21GIv6ODITpdlVh+vzMLwskwb3CiPPGLvRldveCVFvK+TKbQTBUhC5\nfLvM/HSEaNBNs6tyYp9lmG6vN7hwI0+rozCbCdBTdBRNo9IcEPA5OToTpdLps5yz5sKmwm5kyfrM\nZkfl0GSE7kDnZ79b4dpShXLD6py4k21ybanKcr5JLORh33hoaLDgvtG3PbjxhI+5sdBTh4PL+RaL\na3V8Hus+hHxOwn4Xc2NBzhxO4fc6ObEvRr2j8JurWQTg6p0Kc2NBxhN+9o+H2D8eIhnzcne9TrOt\nkIp6UXWdjXKHbLmLLAvkKh26fcsIBn1uTMPkt59t8NlShfVSk2prgGEY6IbJW6+M0x/oXLxVoN1V\nmUoHeONwmmbXSlFsHzW501ra/9boKCyu1R+bLjEMkwvXLdrU6L1wO2XytS66buJ1y4QCLn5zOUu1\n1eftE2PsGw/R7ml8eG2DfKVjiSVoBt9+c4a+onN9qcrtdasYFAq4WNposLheZ6PcpafoHBgL4XY7\nuHKnzFjcR709wDAg6HGysFajrxhsVDo0OuojUx7Pcyvck2DPCD5jPC4HtN1ACoLAWMzH3ZxFn8nE\nfIwn/FvCRrdTptYaoGg6hUoHE5OT+5MomsFkMkC+0qVY62IicHu1Tmeg4HVJvHUsg6pb/LBMwk8m\n4uWTW0Ve2R8jHfPxn9/eR6unUd/M/xyfiz/SsNkPqCDAbObpB7Bvvw+CIBANugn7XawU2puFivvd\nLAGPA1U3yMT9lOo9gj4nlxZLpMMefr9UodFRUVQVt0NGNwxUzSDkcyEK1jjKiWSA1UKLV/bFcThE\nOj2FekshFvYymwkyUA08DolGR2HfRJhEyMO5Y2P89rMcn92rkIr62Dce2nJfdlrLUY95N/N5lzZa\nQxrO0Zkoy/kWYb+LenvAxzeLBL1OJEnA73Gi6QbZUgcBgVTUa9GiXDKvH0qhaQbXlys4HTLpqNdS\nhzZMLN0gECWBUwcSuGSJUq3HrfU643Efh2eiwyrw4lqdTNxHtTng+FwMURTJlTuPNHD272sXzV5U\nj3AvJ/gHxMNySavFNqqmM57wb6lC2hO+ME1+dWmdUqPP/HSEtVKH8biPmUwQXTdYLVgzaXVV51tv\nzFCodzF0g19dWqc/0Fgptjgzn4bN6vO9jSb/y5/M43Te7w6xdeEed/220ophmBQ2W6xkWdz1Pdie\nMx39u0UoL3L1ThlV00mGvfQVjdVimzPzKVJRL5iwUbG09twOkf5Aw+MSMXSd5UKbeNDJ26+M0+wM\nCLtlFnMtTNNgo9zh2kqV756b5f/4eZe1YtuSndcNOr0B15cUjs7GmEz4qTT6OBziUFB0p+d6p7Xc\nrbzUdimv+3OIrWKXaVqdGsf3xSjUehbB/miGX1xcpVjv8u6lNY7MxPjK8cz97xQgHnQP3+yQRNwO\nKxQ+sS9OodZDMwwycS/NrsW0n0r6+bcPltB1A0EQyER9TCatfKkgCA+dNb39991Nq+SLjD1P8A8A\n+0S1TmBhKKllh2cOh4QArBXaZGI+DBPmMkGEzdauYq1n5f36KtGgh7OHU/zmapZqc8D+iSCpsJe1\nYou5TJD1Uptr9yoomsnh6cgDoa7HJVNvK8NTfXvex77WXLnDb65kkWVp2Gq2G1g50MKwumxXhEM+\ni95jmlBv9XHIEg6HyFqhharpTGVCfHqryJU7ZVY2Ggw0E1U1qHc1VM0k4HOiagZnjqRptvr8bqFM\npdmlpxj4PU46A93KI2oG1+9VqLUVGu0Bq6U2A82gr+iYgN/tJOhzcmQ6ignMpINbJPGfBI8bC2DL\n7S/nWyysWMo2Z+aTRIOWOMHcWJDJpB+3U+b6cpW1QovZTIipVJBcuUOjY93D1WKba0tVri9X8Puc\nVBp9DBPafR23U8LvdVqV34Sfb52dIeBzcvZwip9eWOH6UpVDUxG+9oo1OS7sd1nczNUqgiAymXw8\nA+B5FkfYDfbC4ecA20Po89fy/PryOqZpKQz3Bhpnj6bJxH28c2qC2CZfbnGths/j5NSBBBvVDvMz\nUYrVLneyDa4vVdg3HuKt4+N8ulhkoOocnIwwlfTjcTv49pszSJLlwY12NZim1R623UjdVz6xrtVW\nv9muMfg43M+BdoZzSO7lGqxttq0dGA9xO1vnXrZJpdlD00xaXYWzh1MsrtXZKLfpKxYx2O2QmMn4\nSYSs3uFOX8UhidzONiyisEfaFJowhjQRpyyymG0ib85KcTodhD0yLofETCZIttym0hzQV3U+uVnE\n5ZSGcmJPWgR4WM5spw6ZRkel0VbweRxDOo6dKqi1BlxfqjCTCfHdt2aZTgeotwfcXKkRCbiYTgVY\nK7ZRNYNX9sU5NBXFME0K1Q4HJiN849Vx6m2FdNRLPOxhelOGbK3QJBP3892vzBIPexAEYTNEr+N0\nSDTayq7yfS86bWYvHH4OYU90S4TcVFp9Dk5FELD6d2VZRBAENjYn041Fvfyfv1pkrWAVQ94+MQ6m\nyUqhxddOjmMYJt2BzlvH0ogCvHc1xzunJpBlcSjosJxvDSkRs5nAcHbEcr51PxQ0twpAyLLIWycy\nj/w9dqILbZ//CxZ/8dNbRU4fSpKv91hYqTHQDL42PUajo1C80+NXl9fJVbsEfZbWoKZpdAYqcdNF\np6/R6lmdMotrDWybLAoifUVD1WGgmtxYqtDsaXR6KrII3b7VCbNWbLG23qDRVtg/GSHidTAYaBRr\nXVrdAemIl3yty8JKjXdOTWwhuT8Ko73Bo/dueyi90z0ZhU3Kjoc9gFVYSkW8LKzWME0rnaLpBoen\noxaHMB0A0yQW9jAW8fLRzQILq1VurdWQNkUjbIVte33t6xu9Zls2/0UWRH0W2PME/wiwJ7pZYZGH\noNfJe5ezQy0/+6Fodgbc22hxN1vH4RBpdlSSES8nD8Qt6sNYkGsrVa7drfD/t3dusVHd17//7Llf\nPeOxPePLYHPHQAhgHEJCaBpKcprTk5xKhSZUqc5Djqq2UdoHpKqqUqVPVavmsXlJlUQVfSOqqqh/\nKTnqCfQkDQkhJkC4GTC+ezwX23O/730etvcwHnyPjcf495EsmNl7vJd/M7P2b/1+a33XltZaauxm\negMx1jfWEE3mSrOU9Y3Okj5frdPMOq+j9LxWGqaw8M5xM82EKgVHDXodA6EEhx5u5uGNdSQyBVDA\naTfTVG+j0WPnse2NjI6nsJoNDIYSmA169AY9o+MpUlkZu8VAnctMNJHHaJDIF9Uue0VZRlLUkjNF\ngUyugF6vjm8iUySTK6AAFpO6MRKcSDMUSRGJpSePqfXXN/rHSWYKtLfWzrtksHKpoVz8tXJWOdts\nyu0wT+7Ypogmc9zon1DXDCeVx7W6ZqfNyIWbIaLJHDeHojhtJs58NcREPEu9y0qr18lDG++WAWq6\njeW72dostLwu+EHZBZ6JZQuHz507x9GjR9m0aRMbNmy45/j777/Pb37zG9577z0kSWLnzp2z/r61\n5AQ1tC9Gjc1EJldk5/o6JEniws0Q21rdtDQ46NzagMlo4Aff2oRxsrZTa67jdpgpFmSGx1I8stXL\nxsnUlzafk/H43aJ+nW6qkGllOFbrNE8REJhv2OO0qk3c7RZDyXmXf/k1Z7C+0UlTvWNSLTpOg8tK\naCLNpZ4wPUMx9mxtIJkt0Fxnx1Nj5nLPOOmcTFEuokMNLxVF5sBDTQyE4mRzMhIg6SCdA0mSkRXY\n0abWZaczRZKZPIWCTJvXSbagsKm5BiSJhzbW0ep1UFtjJZbMYreaeGSblw3NLtpbaxclHFEZ/i7U\nqUiShL/BUdp5jiZzjESSNNXZS++ztrtevjvtsBgYjqRocFuJxDJE4lnqXNZ7hGrn2s1e7Wt+c7Es\n4XB/fz/vvvsuHR0d0x5PpVK8+eabvPfeexiNRo4ePcrTTz+N2+1ezOVWNeU7hVr4URly9AcTBMZS\npdSZytaRWljq9zr48kawtKM4HE5yYIeP//nEximvUyWiEuzb5i2FOXPpAM63SqI8dOoPJrgxMM6N\ngXF0OomRSIrhcKJUeVEsqsm/W1pcgMTAaJwbA+OEJtJ4nBY1Xchj5eqdCBdvhbFZ9LjtJiwGyMtQ\nzIPNriMczVKQ4V9fDJDKFDGb9Rh1ChuaXFzpHafV52I4ksLjsuGO5Uhl8+QLMp4aCw67id5gHFku\nsrHZTV2NlZtDE8RTOSRJYt829eYBahg60986W5hYOXbzFWyd6bOhhc5368zv1a4EWN9Uw3f0ulIK\niyTNLO77IO7qLhWLmgmaTCaee+45PvnkEzZv3nzPTPD8+fNEIhGee+45DAYD169fx2w2Tztj1HhQ\nZ4LzSbB12U1TwtXyRObpzrOZ1Vy+4XCSWCpf2nXWrnejf4LmegcOq5Gu7hAWk4FoMrckaz7ls5z1\njU7cDjMbGp0MR9R1xpYGB06bkS9vhAhH0wTHU9wamuDrOxECY0lafWpvW6NBzVMLRjP0jsTIFSGT\nV5hIFjAZJYwGPZmCQjavICtg1sO2NheGyd318WSR0bEMiqI2G6qxm9m8zs16rxOjQYeEhMthUhVZ\nohlSmTzxVJ6+0SgdW7w0NzjI5GR2b6xjPJHj654I566NMhBMsKnZRd9ogvF4dlHN5ee7kVD+2bjR\nf7deWwtVy2fnxaLCfy6PkM0VmYhn+ejCIJ4aC5taXOh0UmnHeb613pVVTWs5HF7UTNBqtc56PBwO\n4/F4So89Hg+hUGgxl1r1aLmAlXL25WhrOF3dwVlnZNp5F2+HJnvtSgyHE/QMx0qzwMpZiE6n5g6e\nvx4sCb5W5u8txDFWquVs9rvoGY4RiKgOUKuPHYmkGArF6dzmw1dr5eKtEN2D4+xYV8uYx07H5no+\nONfPFr+L/3Ouj+sDUfQ6VVlFp9NhtxhwWAyMJ7IUimCxGLjWN0E6q2DUq7bIAAqEYgViqQIfX+gj\nnpGxGHUUkYgkMhgktfF9oSgTT+XJFYqEoxm+f2gj67zqpsDpC4PEklnG41n6R+NIknr+3i1qPfR0\nXe8WS6Eg89nVUQ7s8JW6+cmygqwoDIcTpabt2nvX6nXw6dcBCrLMv74YoNZpYkOTC0VR5qVyU8l0\nArDL2WpgNTCnEzx16hSnTp2a8tyrr77KoUOH5n0RZTHv1gNCfzDBSCTJYDg5a0gy3w9i+XlaDlpl\n2FR+HS180kJV7Uu2WOn06Zy09mXW3ua7IZ29FOr5PHYu3o5w9loAh9VEaCJNvljk5lAUGbCYoFBU\nfzKFIol0kVq7gaY6BxIKFpOB8ESSdLaASQ+bmx2MxfOMRbPkFVVaLBTNkytCjCIumw6TTo/DZiRf\nUGj1OXA5zHQPjDMWz9AbiJeczJYWN4qk0OS2EYplSq0nNdt7A3G6uqfeRBbLZ1dHOXNhEFCXOSRJ\n4qtbITq2NuCfXA4p5+yVAB+e6+fIPj//bX8rxaLC6LjazlOSuEfybK6b20w72ms5XJ7TCR47doxj\nx44t6Jd6vV7C4XDpcTAYZM+ePQu37gFgvs5tvh/EyvM0JydpqRMzvKYyRWMp7/7al+30hUEkyV8K\n0bT1yaFQggaPlQ3NNeTyMglyWIt6QtEMRr2OwWAcWYacummMxQDZAsTTBVwOhcFQEpNJRy6rdRjS\nkcrKbGiuwWxK0R9MqiGzgVIvjlRWZou/BrfDxI3+icm6aRuH9vhprrVx6VaYXKHIRZOB0GTPZ6Ne\nP6VKo2c4xvnrQZrq1B1sLa2o8n1ayKxaS4/q3NrAJ5dG2N/uBbwzvtZXa8NTY6a53sHWVvdkOBtj\nKJzkyxshKnsoz3VzW0gVyFpJnZl/PdQC2L17N5cvXyYWi5FMJunq6qKzs3M5LlX1aB+6b/oh0uSo\ntEVx7bnbQ9F5hWqVdiyVXRqFgszoWJJCQS7ZqspnxQmMJenuGyeayDIUSTGRyJLOFRmPZegbjZHK\nyKTz6ofRapysDEP9CYwlycuQzMjkFbCZQJEVhkIpLt+OEEukSzZ4XHYa3WaMerBb9GrD8Z3NPLrD\nh3VyHXVdg4PAWIqzV0dIpvPk8kW2t3lob/WUnJxGq9dRWrtsrrfT2e6dVTy1cmNlOrT8y/PdIc5c\nGOTc9eCs78Nmv4vnD25UQ/qCXOoFrXbis0+xp7yBvfb8dJ8bUG9+mvTZTCzk71rNLGpN8MyZM7z9\n9tv09PRw5coVTp48yTvvvMNbb73FI488wt69ezlx4gQvv/wykiTxyiuv4HSuzfWGmVjoXXa6O7zW\nhxdAkvyl2eBK3LUDYymiqTyBsRRGo76kMWg2GYgmcrQ02OnY6uXLG6NEYln89Q5aGuz0DMepqzEQ\nSxdw2oxsanbRPRRlLJZHL6ktBEbHchQmv8MSYLEYcVgUkpkCinL3bx2JJLFbDLjtBnx1Toqywn+u\njLCttZZITJXxaqmzc7prAEWGDX4X630193Sb05iu5nu6roKLmVVrM0Lt35kor+ceiaQYiSTpmyzH\nvgAAENtJREFU2NpAZ7vvnve6PClee36mmeF8Io+1slYoKVWyYBcKPdh3m0q0cGTfNu+8U1MqpeDL\nnwNKX4DlXN+ZyXl390/wz7N3+B+PbShtlmgzr//6rI9MNo/RqGcsmuLS7THMJh3bWj30j8ZJpXNE\nU0XcTiM1ViOZXJ7RiTw6wGE3kM0WyBbu2uAwSzhsRgLjOWrtBny1Fq4PJkqbIMpkA6ojHX4kvY5m\nj43h8RTd/RPU1Zjp6g6zsdnJ//ru9iniENOJP2h/h5ZvudD3bSnGV3tO61k9k6jFbK990EPa2Who\nmN2Ji7K5FWKhd9npdpB1Oqmk/KwtkC/3XXummcVmv9rPo7x07Pz1IEPhJDvbavn48jC3eyJIkkSj\nx4bVaiQQSU2KougwGWUsRj3DkRSTnQTUhf+ijH7yuysBZiNkcgoFJY9RBxazEZ1BbS9gNkmlplKp\nTJ6vesJYTQb+c3mYx3c2kszk2dJSQ73bwpO7WzAYdKUbSbGoEBhLEZhsa6CNrzYL09belnt2NN34\nlq/jjUSS9AcTs673zfWcYCrCCa4Qi/lwzvQFvJ93++lsmO76rV4HF2+FudY7xpfZAjaznga3haKs\nKrf0BqJE4mkMkoTJqEOnM5DOFdBJ6sZIY50dn8fKjYEJskUZow4MenA5zATGs5gkCY/bhMtuIDKR\nwmBQx9Rq1rN7cz2ffD1MIKLKz0so3B6OYrcYaa53YDQaWN80dUkhnsrhnGxNUP63aSlOmizWcjuV\n2ZzsWglP7zfCCa4iZvoCLjbdZals0K6vKHd3qXsDcYLjKfQ6eHZ/K8Fohmu9YyQzeepdFupqLKz3\nOrnarzZ3OrDDy+dXA0QlqLGbsJiNbPLXotfpuHJnDCiQK4DbbiCZyVPnNDMyliZfVGjzOWmolekf\njVPvtiEp6kaNYtKTyRVxOVQZroc21qPX6xiJJKekyDy1p4XBSBJ/narhWO7QtRSnmWZf92N853NM\nsHiEE1xlTDfrWskZgiwrFIsyvlobsqzw1a3QZF5iklA0QzpToL0tyxO7mmiuszMUTnD+elCVvvKq\nsvaSJBFN5EmkC5jNRswmI0PhBOlsnu2tHvxeJ/46G1/eDJPJKThtFrU2uAixZA6zyYC31sRwKIGk\ngNNuwmE18sPDW/nP5RGMej3pXAFfrQ0UBZ/HhlyU+ahrmO1ttTTV2QmNp2n1qrXNH3UNcrhDTfUR\ns68HH+EEVxmzrRmtlD1nvhoCoLnezr5tXhRFdYJPPNTIWDzL/nZvycbhcBJJUkhlCvQGouzb4mU8\nmaPd7+bCrRDFIrjtJvQ6HdFEit7RGBub3bSvq+XG4DjRRA6r2UgslUenU+upH9/ZxP+7NExLg53e\nYIKJeAaQ6AvEsZoNbGutpaXegaIovP/pHRxWI7JSS3A8iaLIJbtbvQ4+vRKYLMVjxcdWQ2xuLC/C\nCa4yqm1msr7RyeEO/z271pqKTCiaKcn6j0SSjESSdG5rRFYUtXojkaWrW5Xbb/M5cdqNXLwVIp4q\nYDHqMRpleoaj9AxPEImpjZP2tXsZDhnQ6Qz87/++g39dGCSRySMXZUITaewWE3t3NrBrQx3/vjSM\nv8HBhqYaPrk0gt1ipN6l6vB5a+1sb6udsvMbiCTZsd6z4o6vnPu53LEWEU5wlVENM5Nyyneoy5/T\nKlm02uWPugaRZRlvrb1Uetbqc5LLFbnWN8al22FiyTyNdVZSWTXhusZuZGurm/PXRonEckiA1aIn\nmSrQM5LAYjLw3se3GQol2NnmIZLIMBRO4tTBzvV1BCbSPPlwM4oCtwajXOuLYNDryBeK6PQ6jnSu\nm3FZ4ZvUVy811Xbje9AQoqqCZaNcq7DGZiKZKZAvyDhsppKmoafGQkuDk13r68gXZTwOM/lCkT1b\nGzjS0QpIFGWFdV47NXYzyXSOWqcZh9VIc70qxurz2NnY4uLOSAxQ2N5WR1FR+Nf5AXQ6iWt945hN\nevqDCfQ6HZta3KU2p+WqK5XqL9WirrLa5e1XGiGvL7jvVM6gNLn+QlFWG0lNlncBU2pxDQYd/zx7\nh5GxFLFUHl+dnZv9E9S7rezaUMdwOEkkmuJq7xhIEnq9jmSmwP7tjWxsrqFYbObDL/rIF2R0koSn\nxkxdjYWxeJamWhud27w0uKzo9RJ3RmK0+VRNxJm0HsUMbG0gnKBgydFaa5arrmiORFW8CTESSaKg\n1sAWCjJf34lwJxDFblZneMl0gTuDUZLZPMnRPP2jcZw2E/u2+rgTiFJjM+FymvG6bQyHE9wesvD3\nj28xHErgsBpp8qilZfu3eUGSuNwToTC5VnmtbwyA7W1qvbDWAhTEmttaRDhBwZKzvtE5qXx9V7qr\nfJ1wJJLiam8EkNix3sPoeGqyCb2eNq+TLS0uekaijMXTbGhysaOtjlAsjc9tJTCRpsFt5frAOLFk\nnn1bnbT6nJy+MMhgMKnmFza7+K/P+7BbDOgmq2wi0Qyd7T4O7PDR6LEhSdDmc/LZ1VGGQomSqnc5\nYkNibSCcoGDJma27mnasqc5W2lHWQuOiotB1I8jn14OYDTpSmQJ6vZ7GOgeBSIqvboaIJrJ8u2Md\nT+31MxJJ0ep18Pm1UcaiKRw2E88+2kpTnYMLt8JsXufG67Lw8JZ6YtEsz+5vLSU9a2FveXP6Sql7\nEQ6vDYQTFCwLlbvYlf00tLQU7dxDu5uRZYVmj52RSBKvW23G5PPYJluQxukJxHiozcPjOxvpDyYY\nHU/x2bVRzl8fJZMr0lRnw9/gJBBR638NSPz70nCpJO7c9SDX+8fY2lrLusm0mUp9veGwmsZTXv0i\ncvMebIQTFNwX7oyoTd7bW2sJjKkiptMV+29tdbO1VW3ItR01teX0hUEkFHLZopoPWKabp8gKDqsR\nf4MDX60a5l4fmFBl6xX49p4WFEVVl5FlhS+7g3TdCHJzYILv7Ft3j8S85qRlWaGrW4TCawHhBAX3\nBa0Cw1dro6nOXuqtMZfkk5YV8viOJoITaWKJHP8820skluGpvX42trgIjKe52hthIpFDp5N4am8L\nI5EUgbEU63yOKarbzx/cQLGooNfffa7y2uUheqWdggePZVGWFqw9ZlIw1tjYXMN39q1js1+V3u/q\nDk1RLO4ZjvF/vxwoKWUXCjI9wzHWNTjY3uZBp5ewmAzs3FBH+zo3o2MpBoPq6w/s8NHe5mGL38W1\nvjEkSeKJh5vobPeiKJTUkbXE7s1+15Scu+kUlLXUnko7BQ8eYiYoWBLm29sCpubfaXp+fYEYo2NJ\nLt4MIUNpbW44rK4RBsdTjMWydLb7CMezxJI5um6FaG2sQVEUbvSPs83vVp2bcleE9LOro+zZXD9l\nc6PS1ild38pmfWJjZG0gnKBgSVisw9D0/AKRBGPxLH3BBI9sV9t0NtXZaPOpyi6FgozHaUaWFQ5s\nVyXpmz021jc66RmOAaoGod+nOtYvbwS5eEvHlTsRvr3Xz5Z17hltnanlabWVKAqWB+EEBUvCbA6j\ncs2tfCamCTDk8zKj4yma6+2lMHTfNi8Ggw5JkrjUo9b9Xrmj/vut3c2l36+mvNytA9Zmc/56Ow1u\n6z19PGZqG1r+r2DtIHqMCJacSqdX2Zdjpk2QyjSaSiGDuXpsCATTIXqMCO470625wdTwcyEK2eXn\nP/Fw04LtqRY1GEF1IpygYMkon8nB3E6vkvmEpItxaKL8TTAbwgkKloxv6mzm4yynu8ZcjlHb/S0U\nZG4PRadUqwgEwgkKloz7sbkw3TXmk54jSRL/vqg2qi+vFBGhskBsjAiqkoU4p/mcO10jdWDZm6kL\nVh6xMSJYlcw1u5uu1G02dDqJzX7XPc+L1BiBcIKCqmQu57RUmx0iIVognKCgKpnLOYkZnGCpEE5Q\nsCoRMzjBUiHS7gUCwZpGOEGBQLCmEU5QIBCsaYQTFAgEaxrhBAUCwZpGOEGBQLCmWbQTPHfuHI89\n9hinT5+e9vjOnTv58Y9/XPopFouLNlIgEAiWi0XlCfb39/Puu+/S0dEx4zkOh4OTJ08u2jCBQCC4\nHyxqJtjQ0MCf//xnnE6RrS8QCFY3i3KCVqsVvV4/6zm5XI4TJ07w4osv8u677y7KOIFAIFhu5gyH\nT506xalTp6Y89+qrr3Lo0KFZX/erX/2K559/HkmSeOmll+js7GTXrl0znj+X3I1AIBAsB3M6wWPH\njnHs2LEF/+Ljx4+X/n/gwAG6u7tndYICgUCwEixLikxPTw8nTpyYlDQv0NXVxZYtW5bjUgKBQPCN\nWNTu8JkzZ3j77bfp6enhypUrnDx5knfeeYe33nqLRx55hL1799LY2MjRo0fR6XQcPnyYhx9+eKlt\nFwgEgm9M1cjrCwQCwUogKkYEAsGaRjhBgUCwpqkqJ7gaS/Hmsvn999/nBz/4AceOHbsn1WglyOfz\nnDhxguPHj/PSSy8xMDBwzznVMs6///3veeGFF3jxxRe5dOnSlGOffvopR48e5YUXXuDNN99cEfum\nYzabDx8+zI9+9KPSuI6Ojq6QlVPp7u7myJEj/O1vf7vnWLWO82w2L3iclSqhr69P+elPf6r8/Oc/\nVz766KNpz9m/f/99tmp25rI5mUwqzzzzjBKLxZR0Oq1873vfU8bHx1fA0rv8/e9/V373u98piqIo\nH3/8sfLLX/7ynnOqYZw///xz5Sc/+YmiKIpy69Yt5Yc//OGU488++6wyPDysFItF5fjx48rNmzdX\nwswpzGXzU089pSQSiZUwbUaSyaTy0ksvKa+99ppy8uTJe45X4zjPZfNCx7lqZoKrsRRvLpsvXrzI\nrl27cDqdWCwWOjo66Orqus9WTuXs2bM8/fTTADz++OMrbs9MnD17liNHjgCwadMmotEoiUQCgIGB\nAVwuF01NTeh0Op588knOnj27kuYCs9tcrZhMJv7yl7/g9XrvOVat4zybzYuhapzgaizFm8vmcDiM\nx+MpPfZ4PIRCofth2oyU26TT6ZAkiVwuN+WcahjncDhMbW1t6XH52IVCoaobV5jdZo3XX3+d48eP\n88Ybb6BUQWKGwWDAYrFMe6xax3k2mzUWMs4r0m3ufpXiLSWLtbmc+/2hn87mixcvTnk8nU0rOc4z\nUQ0OY6FU2vyLX/yCQ4cO4XK5eOWVV/jwww/57ne/u0LWPbgsdJxXxAmuxlK8xdjs9XoJh8Olx8Fg\nkD179iy1aTMync2//vWvCYVCtLe3k8/nURQFk8k05ZxqKHmcbuwaGhqmPTY6OrpkodE3YTabAb7/\n/e+X/v+tb32L7u7uqnaC1TrOc7HQca6acHguVmMp3u7du7l8+TKxWIxkMklXVxednZ0ratPBgwf5\n4IMPADh9+jSPPvrolOPVMs4HDx7kww8/BODKlSt4vV4cDgcAfr+fRCLB4OAghUKB06dPc/Dgwftu\nYyWz2RyPx3n55ZdLSw9ffPFF1X9+q3WcZ2Mx41w1FSPlpXgej4eGhoZ7SvH+9Kc/8dlnn5VK8X72\ns59Vvc0ffPABb7/9dim0fP7551fU5mKxyGuvvUZvby8mk4k//OEPNDU1VeU4v/HGG5w/fx5Jknj9\n9de5evUqTqeTp59+mi+++II33ngDgGeeeYaXX355RWysZDab//rXv/KPf/wDs9nMjh07+O1vf4sk\nSStq79dff80f//hHhoaGMBgM+Hw+Dh8+jN/vr9pxnsvmhY5z1ThBgUAgWAlWTTgsEAgEy4FwggKB\nYE0jnKBAIFjTCCcoEAjWNMIJCgSCNY1wggKBYE0jnKBAIFjTCCcoEAjWNP8f4JJJ9TG+aDoAAAAA\nSUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f42e55be6d8>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "wLAFQKsmySoa", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Archimedean spiral\n" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "_1siVP7v09J4", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 320 | |
}, | |
"cellView": "both", | |
"outputId": "4bc57aa2-1f75-4f56-faed-e44232a83493" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#@title\n", | |
"# \n", | |
"class DualSpirals:\n", | |
" def __init__(self, a, b, c):\n", | |
" self.a = a\n", | |
" self.b = b\n", | |
" self.c = c\n", | |
" \n", | |
" def draw(self, n_samples, ):\n", | |
" n_samples = n_samples//2\n", | |
" theta = torch.rand(n_samples)\n", | |
" theta = theta * 3 * math.pi \n", | |
" r = self.a + self.b * theta**self.c\n", | |
"\n", | |
" samples = torch.empty(n_samples, 2)\n", | |
" samples[:, 0] = torch.cos(theta)\n", | |
" samples[:, 1] = torch.sin(theta)\n", | |
" noise = 1*torch.randn_like(samples)\n", | |
" \n", | |
" t1 = r.unsqueeze(1) * samples + noise\n", | |
"\n", | |
" samples[:, 0] = torch.cos(theta + math.pi)\n", | |
" samples[:, 1] = torch.sin(theta + math.pi)\n", | |
" noise = 1*torch.randn_like(samples)\n", | |
" \n", | |
" t2 = r.unsqueeze(1) * samples + noise\n", | |
" \n", | |
" return torch.cat((t1, t2), dim=0)\n", | |
"\n", | |
" \n", | |
"spiral = DualSpirals(3, 3, 1.2)\n", | |
"samples = spiral.draw(100000)\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"plt.axis('equal')\n", | |
"_ = plt.scatter(samples[:,0].numpy(), samples[:, 1].numpy(), s=2, alpha=0.5)\n" | |
], | |
"execution_count": 29, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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JuPPk67TLuG2f/GSjP8liFWaDKX5+JsC12SS3ljJUq+qyU/FGM+p3MdDrxGyS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oqieR\nSPDNb36Tf/zHf6ShoQGA3bt3V45ppZwHgL/5m7/hJz/5CT/+8Y85ePAgv//7v7/ijmXVzvRq4Zln\nnuFrX/vdN7wGAAAAr0lEQVQaiqKwbds2du/evdRDuiuHDx8mGo3y5S9/ufLa97///RV5LDt37mTz\n5s0cOnQIQRBWVKoNwC9/+UsikQh/+Id/WHntG9/4Bn/5l3/Jiy++SHt7O5/+9KeXcIT3xle+8hW+\n+tWvrphj0aylNDQ0VhXa8lZDQ2NVoYmehobGqkITPQ0NjVWFJnoaGhqrCk30NDQ0VhWa6GloaKwq\nNNHT0NBYVWiip6Ghsar4/wFoGSzpAr6DzAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fa01d2a69b0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "LryN3b9MRE7S", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Checkerboard" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "s9Bf8TEIRXTG", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 320 | |
}, | |
"cellView": "form", | |
"outputId": "94e207ce-a234-4826-a9d3-6fdeb5b86923" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#@title\n", | |
"# Normal Circles in 2D\n", | |
"class CheckerBoard:\n", | |
" def __init__(self, N):\n", | |
" self.N = N\n", | |
" \n", | |
" def draw(self, n_samples):\n", | |
" raw = torch.rand(n_samples, 2) * (self.N)\n", | |
" mask = torch.trunc(raw).sum(dim=1, keepdim=True) % 2\n", | |
" q = raw.clone()\n", | |
" q[:,0] = self.N - q[:, 0]\n", | |
" return raw* mask + q*(1-mask)\n", | |
" \n", | |
" \n", | |
"board = CheckerBoard(4)\n", | |
"samples = board.draw(50000)\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"_ = plt.scatter(samples[:,0].numpy(), samples[:, 1].numpy(), s=2, alpha=0.5)" | |
], | |
"execution_count": 30, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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UsNcLmasZip6gQxCmLLY96lUHQ6gbw7+rtdePIIxVD6yuG1y9UKPmGSzUTeYa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\nTMwFTxzoYmJiLnj+P0zpw72c3ubgAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fa01f310198>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "l5T5tZGtbl5u", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Pinwheel\n", | |
"\n" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "eYlwXg-KbxhY", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 320 | |
}, | |
"cellView": "form", | |
"outputId": "111b3a74-b9ef-42b4-d850-933e6a218407" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#@title\n", | |
"# Normal Circles in 2D\n", | |
"class Pinwheel:\n", | |
" def __init__(self, N, dist = 1.0):\n", | |
" self.N = N\n", | |
" self.dist = dist # distance between modes\n", | |
" \n", | |
" def draw(self, n_samples, ):\n", | |
" raw = torch.randn(n_samples, 2) / self.N\n", | |
" cat = torch.distributions.Categorical(torch.ones(self.N)/self.N)\n", | |
" idx = cat.sample( (n_samples,) )\n", | |
"\n", | |
" raw[:,1] *= 1 * self.dist\n", | |
" raw[:, 0] += 0.7\n", | |
" \n", | |
" rad = torch.arange(0, self.N, dtype=torch.float) * math.pi*2 / self.N\n", | |
" rad = rad[idx] + 1.2*raw[:, 0]\n", | |
"\n", | |
" rotation = torch.stack( (rad.cos(), -rad.sin(), rad.sin(), rad.cos()) ).t()\n", | |
" rotation = rotation.view(-1, 2, 2)\n", | |
"\n", | |
" return torch.bmm( rotation,raw.unsqueeze(2) )\n", | |
" \n", | |
" \n", | |
"pinwheel = Pinwheel(5, 0.3)\n", | |
"samples = pinwheel.draw(50000)\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"plt.axis('equal')\n", | |
"_ = plt.scatter(samples[:,0].numpy(), samples[:, 1].numpy(), s=2, alpha=0.5)" | |
], | |
"execution_count": 31, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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Qxa8uLVLXQDMajM9m8Lqs7On3sZAoMjmfQZVlllMlToz1IMtyuzvLgeEuDgw3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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fa01d32c1d0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "l4_U63gcnI-l", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# Normalizing Flows" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "UL_i6xBpBL8t", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "mnkPj5jdnLH4", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"class ResNet(nn.Module):\n", | |
" def __init__(self, num_layer):\n", | |
" super().__init__()\n", | |
" self.num_layer = num_layer\n", | |
" self.seq = nn.Sequential()\n", | |
" self.seq.add_module(\"fc0\", nn.Linear(2,32) ) \n", | |
" \n", | |
" for i in range(num_layer):\n", | |
" self.seq.add_module(\"fc_%d\"%i, nn.Linear(32,32) )\n", | |
" self.seq.add_module(\"bn_%d\"%i, nn.LayerNorm(32)) \n", | |
" self.seq.add_module(\"selu_%d\"%i, nn.Tanh() )\n", | |
"\n", | |
" self.seq.add_module(\"fc_end\", nn.Linear(32,2) )\n", | |
" self.seq.add_module(\"bn__\", nn.LayerNorm(2)) \n", | |
" \n", | |
" def forward(self, x):\n", | |
" return self.seq(x)\n", | |
" \n", | |
" \n", | |
" \n", | |
"class AffineCoupling(nn.Module):\n", | |
" def __init__(self, mask):\n", | |
" super().__init__()\n", | |
" self.register_buffer(\"mask\", mask)\n", | |
" self.resnet = ResNet(5)\n", | |
" \n", | |
" def forward(self, x, logdet):\n", | |
" x_a = x * self.mask.data\n", | |
" x_b = x * (1- self.mask.data)\n", | |
" \n", | |
" logscale, offset = self.resnet(x_a).chunk(2, dim=1)\n", | |
" y_b = x_b * logscale.exp() + offset\n", | |
" \n", | |
" return y_b *(1-self.mask.data) + x_a, \\\n", | |
" logdet + logscale.sum()\n", | |
" \n", | |
" def inverse(self, x):\n", | |
" x_a = x * self.mask.data\n", | |
" x_b = x * (1- self.mask.data)\n", | |
" \n", | |
" logscale, offset = self.resnet(x_a).chunk(2, dim=1)\n", | |
" y_b = (x_b - offset) / logscale.exp() \n", | |
" \n", | |
" return y_b *(1-self.mask.data) + x_a\n", | |
" \n", | |
" \n", | |
"class FC2dFlow(nn.Module):\n", | |
" def __init__(self):\n", | |
" super().__init__()\n", | |
" self.fc = nn.Linear(2,2, bias=False)\n", | |
" \n", | |
" theta = torch.rand(1) * 2*math.pi\n", | |
" self.fc.weight.data[0,0] = theta.cos()\n", | |
" self.fc.weight.data[1,1] = theta.cos()\n", | |
" self.fc.weight.data[0,1] = -theta.sin()\n", | |
" self.fc.weight.data[1,0] = theta.sin()\n", | |
"\n", | |
" def forward(self, x, logdet):\n", | |
" return self.fc(x), logdet + self.fc.weight.det().abs().log()*x.size(0)\n", | |
" \n", | |
" def inverse(self, x):\n", | |
" return torch.nn.functional.linear(x, self.fc.weight.inverse())\n", | |
" \n", | |
" \n", | |
"class ActNorm2dFlow(nn.Module):\n", | |
" def __init__(self):\n", | |
" super().__init__()\n", | |
" \n", | |
" self.scale = nn.Parameter(0.9+ 0.2*torch.rand(1, 2, device=device))\n", | |
" self.offset = nn.Parameter( 0.1*torch.randn(1, 2, device=device))\n", | |
" \n", | |
" def forward(self, x, logdet):\n", | |
" return x * self.scale + self.offset, \\\n", | |
" logdet+self.scale.abs().log().sum()*x.size(0)\n", | |
" \n", | |
" def inverse(self, x):\n", | |
" return (x - self.offset) / self.scale\n", | |
" \n", | |
"class TwoDFlowBlock(nn.Module):\n", | |
" def __init__(self, mask):\n", | |
" super().__init__()\n", | |
" self.fc = FC2dFlow()\n", | |
" self.act = ActNorm2dFlow()\n", | |
" self.coupling = AffineCoupling(mask)\n", | |
" \n", | |
" def forward(self, x, logdet):\n", | |
" return self.coupling(*self.act(*self.fc(x, logdet)))\n", | |
" \n", | |
" def inverse(self, x):\n", | |
" return self.fc.inverse(self.act.inverse(self.coupling.inverse(x)))\n", | |
" \n", | |
" \n", | |
"class TwoDFlow(nn.Module):\n", | |
" def __init__(self, n_block):\n", | |
" super().__init__()\n", | |
" self.n_block = n_block\n", | |
" self.seq = nn.ModuleList()\n", | |
" self.mask = torch.zeros(2, 1, 2, device=device)\n", | |
" self.mask[0][0][1] = 1.0\n", | |
" self.mask[1][0][0] = 1.0\n", | |
" for i in range(n_block):\n", | |
" self.seq.append( TwoDFlowBlock( self.mask[i%2].data) )\n", | |
" \n", | |
" def forward(self, x):\n", | |
" logdet = 1.0\n", | |
" for i in range(self.n_block):\n", | |
" x,logdet = self.seq[i](x, logdet)\n", | |
" \n", | |
" return x, logdet\n", | |
" \n", | |
" def inverse(self, x):\n", | |
" for i in range(self.n_block):\n", | |
" x= self.seq[self.n_block-i-1].inverse(x)\n", | |
" \n", | |
" return x" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "zzNNYJWgxGb6", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"myflow = TwoDFlow(10).to(device)" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "NCalzcHe32Yq", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"dataset = samples.view(-1, 2).to(device)" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "a_8lA5pG80Ye", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"base_distribution = torch.distributions.Uniform(torch.zeros(1, device=device), torch.ones(1, device=device))\n", | |
"transforms = [torch.distributions.SigmoidTransform().inv]\n", | |
"logistic = torch.distributions.TransformedDistribution(base_distribution, transforms)\n" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "VOXePEZH4IDy", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"gau1 =torch.distributions.Normal(2*torch.ones(1, device=device), torch.ones(1, device=device))\n", | |
"\n", | |
"gau2 =torch.distributions.Normal(-2*torch.ones(1, device=device), torch.ones(1, device=device))" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "9gd0PmvtKh_b", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"dataset -= dataset.mean(dim=0)" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "Glm83vxfKoig", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"dataset /= dataset.std(dim=0)" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "PBhMxNnut11y", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 34 | |
}, | |
"outputId": "cb0a3b16-170d-4d8f-cd5a-300d37b880f9" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"dataset.size()" | |
], | |
"execution_count": 189, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"torch.Size([50000, 2])" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 189 | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "pZhr0lcb6Ad_", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"from torch.utils.data import DataLoader\n", | |
"dtl = DataLoader(dataset, batch_size=1000, shuffle=True)\n", | |
"lo = -111\n" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "RLIZlyMTpNcM", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"optimizer = torch.optim.Adam(myflow.parameters(), lr = 1e-4)\n", | |
"\n", | |
"scheduler = torch.optim.lr_scheduler.StepLR(optimizer, step_size=10, gamma=0.9)\n" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "wZkOn7iH3-oD", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"for epoch in range(10000):\n", | |
" #scheduler.step()\n", | |
" for idx, dt in enumerate(dtl):\n", | |
" y, logdet = myflow(dt.data)\n", | |
" s1 = gau1.log_prob(y).sum().unsqueeze(0)\n", | |
" s2 = gau2.log_prob(y).sum().unsqueeze(0)\n", | |
" s = torch.cat((s1, s2), dim=0)\n", | |
" s = s + math.log(0.5)\n", | |
" llh = logdet + torch.logsumexp(s, dim=0) \n", | |
" loss = -llh / dt.size(0)\n", | |
" optimizer.zero_grad()\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
" if lo == -111:\n", | |
" lo = loss.item()\n", | |
" else:\n", | |
" lo = 0.99*lo + (1-0.99)* loss.item()\n", | |
" sys.stdout.write(f\"\\r {epoch*100/10000}%\\t Loss: {lo}\")" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "FIJOqQt1lkrC", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 320 | |
}, | |
"outputId": "f94840bc-4ebe-4f5b-9def-8f7e7f0d9427" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"plt.axis('equal')\n", | |
"\n", | |
"#m = Cauchy(torch.tensor([0.0]), torch.tensor([1.0]))\n", | |
"#x = gau.sample( (5000, 2) ).to(device)\n", | |
"#x = torch.randn(5000, 2, device=device)\n", | |
"#y = myflow.inverse(x)\n", | |
"\n", | |
"_ = plt.scatter(y.data[:,0].cpu().numpy(), y.data[:, 1].cpu().numpy(), s=10, alpha=0.3)" | |
], | |
"execution_count": 207, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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QQuLYEq0VfqiYmyjQC2Gh1t4aMyfZbAYorXAdGyEEV6dKVAsuArAt2GxHLKy1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\nrYa2dAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fa01f3101d0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "vJvpBWwyfmw1", | |
"colab_type": "text" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# Estimated distribution" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "eQp2bA2sMXWd", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 323 | |
}, | |
"outputId": "ab1f51e9-b766-44dd-ceec-174c33a9e53c" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.grid(False)\n", | |
"plt.axis('equal')\n", | |
"\n", | |
"\n", | |
"x = torch.randn(10000, 2, device=device)\n", | |
"y = myflow.inverse(x)\n", | |
"\n", | |
"_ = plt.scatter(y.data[:,0].cpu().numpy(), y.data[:, 1].cpu().numpy(), s=2, alpha=0.5)" | |
], | |
"execution_count": 262, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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WPnZLAb728jgrmSqqplNrqfQ06w354YdLVOpdzizk8bjs5CsdzsxlGY56RR/q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DVDiH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\nEGwXVK0AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fd01db9a470>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "nz865CC27Tug", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"cell_type": "code", | |
"source": [ | |
"" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
} | |
] | |
} |
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