{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting in 3D\n", "\n", "This notebook demonstrates plotting 3D data in ConX." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n", "ConX, version 3.6.0\n" ] } ], "source": [ "import conx as cx" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "net = cx.Network(\"XOR\", 2, 5, 1, activation=\"tanh\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "require(['base/js/namespace'], function(Jupyter) {\n", " Jupyter.notebook.kernel.comm_manager.register_target('conx_svg_control', function(comm, msg) {\n", " comm.on_msg(function(msg) {\n", " var data = msg[\"content\"][\"data\"];\n", " var images = document.getElementsByClassName(data[\"class\"]);\n", " for (var i = 0; i < images.length; i++) {\n", " if (data[\"href\"]) {\n", " images[i].setAttributeNS(null, \"href\", data[\"href\"]);\n", " }\n", " if (data[\"src\"]) {\n", " images[i].setAttributeNS(null, \"src\", data[\"src\"]);\n", " }\n", " }\n", " });\n", " });\n", "});\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " Layer: output (output)\n", " output range: (-1, 1)\n", " shape = (1,)\n", " Keras class = Dense\n", " activation = tanhoutputWeights from hidden to outputLayer: hidden (hidden)\n", " output range: (-1, 1)\n", " shape = (5,)\n", " Keras class = Dense\n", " activation = tanhhiddenWeights from input to hiddenLayer: input (input)\n", " output range: (-Infinity, +Infinity)\n", " shape = (2,)\n", " Keras class = InputinputXOR" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "net.picture()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "net.compile(error=\"mse\", optimizer=\"sgd\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.04958111792802811]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "net.propagate([-.5, .5])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "input (InputLayer) (None, 2) 0 \n", "_________________________________________________________________\n", "hidden (Dense) (None, 5) 15 \n", "_________________________________________________________________\n", "output (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 21\n", "Trainable params: 21\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "net.summary()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "net.reset()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "net.dataset.append([-1, -1], [-1])\n", "net.dataset.append([-1, +1], [+1])\n", "net.dataset.append([+1, -1], [+1])\n", "net.dataset.append([+1, +1], [-1])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d987f70363664f26b00ea2e613c10348", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type Dashboard.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx.plot3D(lambda x,y: x ** 2 + y ** 2, (-1,1,.1), (-1,1,.1), label=\"Label\",\n", " zlabel=\"activation\", linewidth=0, colormap=\"RdGy\", mode=\"surface\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx.plot3D(lambda x,y: x ** 2 + y ** 2, (-1,1,.1), (-1,1,.1), label=\"Label\",\n", " zlabel=\"activation\", linewidth=1, colormap=\"RdGy\", mode=\"wireframe\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import random\n", "points1 = []\n", "for i in range(100):\n", " points1.append([random.random(), random.random(), random.random()])\n", "points2 = []\n", "for i in range(100):\n", " points2.append([random.random(), random.random(), random.random()])\n", " \n", "cx.plot3D([[\"Test1\", points1], [\"Test2\", points2]], zlabel=\"activation\", mode=\"scatter\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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txYkTJzB79mwuSknN+XxMvXsrgARIaQkHFzFbQQPi8dvEYgX1a4sQ0yKlx1qRfWDkOWDV7+nTp4NhGPT398PpdOKdd97Br371K8ycORPl5eVYunSpaKoowzB4+OGHsWfPHpSUlKC+vh6NjY2YO3duyLg1a9bg1VdfVb3OpCK02E2O5gGQUrmDwSBOnToFl8uFuro6QTsp2m2vCCSJ/RwCImFrmq36dfUYRTLY0NHCbDYjPz8f+fn5eOihh9Db2wuz2Yw//elPIRpeOPbu3YuKigqUl5cDANauXYt33303gtBakfQqtx6x2EKEHB4exr59+2C1WrFo0SJRp0c0/a2IWcH70iyv8hKzRdlcohMk120eD4QORyAQwBe/+EX80z/9E4qKikTHdXR0oLS0lPu7pKQEHR0dEeO2b9+O6upqNDU14cKFC4rXkVx3WgBms1n3bKnLly/jH//4ByorK1FeXi75cEUbOqoICkgt213SKl0NhFi175HKzT319odVzTceCa3ntlVDQwPOnj2LI0eO4Oabb8aGDRsUnzvuCc2X8MFgEC0tLbh06RLq6+u5tD0pROsUUyxZZUgtSSoSfb00YotfeaDxSGil21bFxcUhEvfixYsRCT4FBQWcxrhp0yYcOHBA0RoIIdclFaHFKo5EK6EZhoHb7cbevXuRkZGB2tpaxbWf1Eho1iGWKGiS0nLquBwppNrbimAseLnVQum2VX19PU6dOoX29nb4fD689dZbaGxsDBnT2dnJ/fu9997DnDlzZOclhOQC+L9JRWgh6KFyezweHD58GHPmzEFZWZmqG62Hys1JaYnrEgXEkCNstJCS0nqq3WPRyy2H4eFhRRleFosFr776KlasWIE5c+Zg9erVqKqqwvPPP4/33nsPAPDKK6+gqqoKNTU1eOWVV7Bt2zYlS7ABOJRUXm4gssFbNIRmGAbHjx+Hz+fDDTfcoKkIQbRN31kQswVUQeuaqK9jTQ3tppFkDjFgfKrcarpmrFy5EitXrgz57MUXX+T+vXXrVmzdqknb8yTf3Q6DVkK7XC58/vnnXPlYrRVF4uIUG4WoFORJ72ildDTOMb0wHgmdBJ0nswBcP+4IzRYhOHr0KObPn4+SkpKoHp7kihQTQDQOMQHpHaJ2hxEi4mUSZiYoVbvHI6G9Xm/CShARQgil9DSldMq4UrkDgQCOHTsGs9msTxECKJfQShxiJmsqgjLN5SJUZg2Qm4NY00D9El0pY4x4EVrvOm9ySFQJJEopJSM/6IJxI6H7+/uxd+9eFBUVYd68ebq1vlFKaGKTVmWJxLaUEodYyHilardUBJiE6h1r59h483InsuInufIlFwDYOuYJTSnF2bNncfz4cdTU1HDVKvSC3ja0SQEZQ0ijYVsoYg4t50exL33mzBn09fWJ/m7jUeUGElaTm0/o80mncodDitA+nw9Hjx5FWloaFi9eLHkDtT5EarzcxJYm3WBdR7CEjVWxP9lyvhIvmszMTK5wX0pKCvLz80Paz47HbaskQD+AjKQjdPiNFiM0m6c6c+ZMydhZds5oCJ0Ip5gSWzoaMo9kaIlnYJlSMhD0usXXJhGKWrfx+zj/h58BGNmfdTgcXNmfrKwsEEJiXq4nnhLa7/fr3sZHKSjlEt13A6hPOkKHI5zQbBECtpWKkgeDDf/UcoOVeLnLNv70yngFUlqJcwyQJ44pJR1B71AUx8VJqxfS0tJQXFzMlf0ZHBxEe3s7+vv70dPTg5ycHOTn5+vS+oaPeBJazR50rEApHQLwzJggNEsor9eL5uZmZGdno76+XvENY8M/tQaWRB8pFv+3d1TZWTECWxUkPz8fEyZMwMSJE9Hf389JcEIIp55HWzg/noROZJF9Qsj1AC4CyASwJOnuupDKHQgEuCIEs2bN4jopKEU0pJRT030+bbnCrJSW8nATiy3qQn1yUlrwuqMvIDEJTsw2ELMNQZ+4dC+74wmc2/UTwWOs+cPPKQZGfsu+vj7O/k5NTUVeXh7y8/ORnp6uymSKt4ROYPmhSQAcAKYBuCPpCB0OQggGBgbQ3t4uWoRADtHGg4uhv78fR48ejfhcqXPMJKNSK4E2wl657bFQu4lFOvFFzJ9hs9lQVFTE+URY+/vMmTMYGhripLuSon3x3LZKlMo9GlDy9ui/HZTSlUlNaI/HgyNHjoBSirq6Os03SG/HFr8lzoIFCwDs023ucIhLyfio8bEgvFLpGW5/s72lW1paEAgEJFvPxtPLnShCjwaUpFBKvQBeJ4RsS1pCd3d349SpU5g9ezZOnToV1ds22qonfDAMg2PHjoEQIhmNFs8trHApHW4/x8o5ZrJlaFK7tew48JvHT5s2javpxdrfbM2v/Px8ZGVlXU1OsamEkLkAJgOYn3SEppTi+PHjGB4eRn19PaxWa9Rk1KsuGNvYvbS0FCUlJQBCPdxCkJOkSsgUD280C7n1ErO0Oi2lbs/c9C8I+oawZ8uaqNVhIfvb6XTi0qVLcLlc8Hq96OrqwoQJE1Tb32qRYBs6G8A1GEmfrE06Qvf39yMtLQ2zZ8/W7SbooXJfvnwZbW1tmDdvHnJychSdQ2xpgFTNbImHX84OVQsttvaVc8VfKKyUTi2dL3i88qFfgPpD97tv3vJbAODmbP/t/9S0Lj74jesopdi3bx9MJhPOnDnD5Sortb/VIpGEppQeAHCAEPI6gDNJR2i2U6CeiEblDgaD8Hg8uHjxIhYvXpywAAI5KCWs2HaWnBYgSFiZFy4N+MC4nYLH+Neavua7upD6yrJGuq8UFxdzXTHU2N9qkUiVmxfL3Qvg7qQjdCxUI60qt9frxZEjR0AIwYIFC7QFpqSkg8oQTa3ardUhZkpJlwzptE2qiPiMCKVnKrhHfueVSpbEZJH9fmV3fBvndv2/svMqBd8pJmR/9/X1wel0Ctrfau+z2+2WjVaMJUadY78A0JF0hI4FtKjcbGjprFmzcOrUqRitTF/IETYc5uxC7t9Ckpv6PRG9OoICjj6pa1Lv8MgcIiThaxV6klpKMJjNZhQUFHBNFcLt79TUVE49V2J/J7KvFb2SaFBNKV03JgjNhl9q9Vqq7W917tw5XL58metvdfr0acHrT3/wV4rmjIWU1gpzRh4gRN5RW18oflxqr5z6RscL3Bvq5ZE/GIwYI2Qi6C2plSDc/ubvf7NdKVkJLlRcMkk6T/YQQlLHBKHZwBCthDaZTIpaygYCATQ3NyMlJSUktFSrUy0WTi9TSoakRDSlZiLoGRQ9F8CIoy6M1GKJINznYRFtHJFZ8AgbQuTwMYBsHPvU2x/B+T+obwOjBwghSE9PR3p6OkpKShAMBjE4OAiHw4GjR4+CYRjk5uZy8edmszlZOk/+BPI1WuMPIfUmFsX2w+FyubB3715MnDgRc+fODXl5SJ1vsul3I1nC6e/hzrhCZhZMAGACoF63sFT2e0I/5xU4jCAzNyYoTmYAwYAXQYkML0BB2macYTKZONt74cKFWLhwIfLz8+FwOHDw4EH85Cc/QWtrK86ePavoGZVrVOf1erFmzRpUVFTgmmuuwdmzZ5Uu9SQAW9IRWgh6FtsXwqVLl9Dc3Iz58+djypQpEcf1qPxJUvQhvhqyE2tqJJF54NInw6qRikprn0eczOx8IuamHJFHzr9C5qm3PyI7XnKuGFURYe3vmTNnoq6uDmvWrIHZbMYf/vAHXH/99ZLPGduo7v3330dLSwvefPNNtLS0hIx5/fXXkZeXh7a2NjzxxBN45plnZNdECEkH8AaA7yQloZXmRCuFmJeb7aTR3d2NxYsXIysrS3Q9UjcqFlJaC1iym1IzZSuWRORCBxkgyIiTWSL3mga8ofOFkTqCzAJaWLJJZqWYMmUKUlJS8M///M/49NNPJc1CfqM6m83GNarj49133+Va3zQ1NeHjjz+WfTmNpk4uBdCVlIQORyxUbrZZXXp6OmpqaiT3IvWKBddLSptSpffp+e1nhWqBixU2ECOtHJmloETFFiOzVikd764ZSp1iShrV8cdYLBbk5OTAbrfLzk0pHaSU/mxMOcWiOZ9PSDYVc+7cuYr6WwkROtzDbbKlI+jjxVPHMQqMD6Fe0iGkDgpHrnGkpQiRsJrJTICgX+o4iYgg0wvxLj+UaC83ISQVwEIAxUkpoYVUbj1aylJKcfr0aS4VUwmZ2fP1Su6Qk9LEYhNVu/kvAiEpLdcYXux4BGmpyOf8ITJdQKjcC1hJFxGNnUYS0ahOSeUcJY3q+GMCgQD6+/u5/XIJlAL4KYDGpCR0ONgiB1phMpkQCATwj3/8A4FAQLIftNj5Sgitpy2tGjItbxSTmTugfSksmYlJRAEcJapkVZXRMVNXPqT6+vEmNKVUUdloJY3qGhsb8cYbbwAA3nnnHSxdulTUfCCEpBJC8gBcAPBVSun6MaNyRyMhh4aG4HA4UF1djYkTJ6o+P7z4f7TQK4iE23MmBBG6Mg8hNjW94pOSlMBU/PfmpLPJEqHCJ1Iyc6fHkdBqngt+ozqGYbBx40auUV1dXR0aGxtx//33Y/369aioqEB+fj7eeustqSkrRv/7HMD/QwhxjglCa43FppTi4sWLuHDhAjIzMzWRmb2+0hdKuC2daAja1BSAVPSXEjILXivyGDFZQEXsdmC0+ih/jTo09Iu3UwxQnoMg16guNTUVv/vd75Reth9AO0be5O0ABpJS5Q7/cSwWi2pCMwyDo0ePwul0or6+PqobrNaGllK9TZYRVV/J9pSiLayQ76VCixCpZRZC5vDoMCGyianVQtBIVrVqd7xV7gQV2Ael9AKl9DBGcqI/ppT+MikJHQ61EnpoaAh79+5Fbm4u5s+fD4vFErVTjX++XAw3sWrLt1XrGRdWya+QWtRJJiGBI6Ckc4fJIqlqE5MlLqo2i3h6uaMJSY4WhJB0QogJwHoADwHAmCC0mm2r7u5uHDx4EHPnzkVpaSmXGxsNYlVsPxopLW1fU2VkDpfAYkQ3mWPa25qY5Qk/9bZvKp7vKio/VADgXgArAMwhhCR/XW5AGaGDwSDa2trgcrlQX18vmBWjFVqcYnqWDTKlZERdHVQOknbzGIviulpqcgNwAziNEadYAEBXUhJabegnW4ggLy8PCxcu1N2m0asmmV5Q8qIgZnOkGixEWlZKM+KEJhZb1KQmlhTZqDK9EE9CJzgX2gHgE0JIG4AhSqlzzKvcTqcT+/fvx/Tp01FRURGziid8ldukMIRTN8cXD2qiq4jClrp6SH+tfgNF56u8p/H0cie4awYrkL8PYA0whm1oto3syZMnsXDhQtXdNNSAT+gZj/1fybFSDybr4Y74PCVD2iFmTQmJDBMN2JCCmEpNiKJQ1FiGq0pf+AoxldrRV4uExhUPaBZG2uEkJ6HlVO5AIIDDhw9jaGgI9fX1ijsZag0OEXKK6SmllUJL7DMxm9V5taOAnJQmIi808RO0Sdl429AJjONmH+izABYRQsqSktDh4BN6cHAQe/fuRVFRUUQhArk5tHqq49FS1pSq7qHQJKUjJrlCGL2kdDSqd8i5ImRW8lK+GrpmACGtZP8nRiLGfpmUTrFwsBK7s7MT7e3tmD9/vmjushhYx5aSmFuh6ws9SEpL5+rh8WZckSl0clFYo4NArCm6ZTbJOcjkrhOtc2zv3r3IyMjgiuynpkbmfQeDQV1b00oh0ZlWo/ABeA7APWOC0Gxt7K6uLixevDjubWH1kNBi9jMAECtbmCADQY877Ji+ReGvTKxNnZXzdptS0hCUKEMkV/WKWFMkr7HqxTfQ8tv/BYfDgdbWVvj9/ogaX1dL58nRZnUUwLcALAdwfVISmm9DezweHD58GIQQ1NbWavZe6qFyCznE+FJainwkJQNUo5QWks7cvFJSmpeBpURKK9meMtnSBEv5jlxOhkQKSKZkeywzMxOZmZmYOnUqV2ObrdLJNkIoKCjQ1ENLLYaGhhR3UokhNlJK5xJC/ispCc3CbrejtbUVc+bMQWtra9Tx2Fr3kuNhQ3PXEpDS0ieYRYsWiELj7yjVy1oXmMyqm/yF19j2eDxobW1Fd3c3Ojs7kZ2dzdXYjkXXk6GhoYic5gTARQjJBICkJDRbiMBut4f0hI7mjRtt0/fBQeHSuMAVj7dC4xsRAAAgAElEQVRceKQWKS0lnbl5hexSmfxowXlMFhCbRTBbTI7MfOksqHbrpALLOQNTU1O5Pla5ubkYGBiAw+Hgigbk5+ejoKAAWVlZukjvJCmy/yGAFAD/mpSEZiVpXV0dZwuxKrMWpxb/fLVgQ0p9vtiEP7L2Mx+KpbRKiSlnnypFuNqtVtUWlMIqvktZw6M49/tXRI+zNrTJZEJubi5yc3MBAH6/Hw6HAxcvXoTL5eKcawUFBZob2CWDU4xS+vzoP/89KQlttVoxY8aMkM+i8VLzz1cD1n4vKCiQrZhCrCmi3TH4+69qpLSaCK4QKa1ROosfi72qHXI9EbVb6VadmFPMarWGdMhwu90hDezY7hi5ubmKnWoJTs6IQFISGojcKtKSE82HWpW7r68Px44dw+zZs5GVlYUV//sz+Wso7QCpgNSm1Aww7j5xZ5YGkkmp1CFTqyjSICadObU7Tqo2H0q83ISQCOea0+lEb28v2trakJKSwm2NSfW3SgYJzUfSEjoc0SZIqFG52SonCxcuRFpaWlT1zLSCcfepPodYUjTFZWuRzibbSHSe5J6yBKk4KazgxaQ2iEbLtpXZbMaECRO4EOLw/lbZ2dkoKChAXl5eyLYp23s6WTBmCB2rYvt8BINBbm9z8eLFnHpvMplUBJEol9IjF5UnYISU1iid1UCJlI46eyoKVV7KjtYjOSMtLQ3FxcUoLi5GMBjEwMAA7HY7zp07x7WfNZlMGBwcVK1yOxwOrFmzBmfPnsW0adPw9ttvC1agNZvNmD9/pC/34cOH36OUNkYMCsOYCP0EYt/fyuv1Yv/+/UhLS0N1dXWIrc4+HMrjt6+Mk4xfFiGzFukMyFTR5IFfIkmr7Sx7rShDU8moBqAlxFXv0E/WuTZjxgzU1dVh3rx5SEtLw+uvv44jR47g8ccfx9tvv614vpdffhnLli3DqVOnsGzZMsEeV8DIS+XQoUM4dOgQlJAZSGJC690OR+r8/v5+7N+/H+Xl5Zg+fXrEtSuf2Sm9Vo3RXCabctuLu4aMVGNV4ZBz9Yj7FrqWTOKJ1HElTeu1rjvWkWI2mw2TJk3Ciy++iOLiYjzzzDOqohf57W42bNiAXbt26ba2pCV0OGIloS9duoSWlhYsWLBAUQqmFiktOS6M1JLSORqJGXHddGnpbLaIF/yPUjqzZI6W8GKIZ+hnMBjEokWL8NWvflXxOZcvX8bkyZMBAJMmTcLly5cFx3k8HtTV1WHJkiUghNyhZO6rxoYOd4oFg0GcPHkSw8PDqK+vV/WGVWNPixXPM2nIL44oeSt2Xd4+sRYpp/blEHrx+D1S077yJM7u/HHE5/Gu+imE5cuXo6urK+Lzl156KeRvqZp3586dQ3FxMc6cOYMZM2b8lBDSTCk9LXXdpCV0LDtQ+nw+rmTRrFmzYhbvSyw2UEY+jNFky0DQp6SskFWQ0FoISMwWELNF0YtJ6lpymWThxxWp2qNjSEq66N6+7BxxqFgilcr50UcfiR6bOHEiOjs7MXnyZHR2dqKoqEhwHBtSWl5eDgB/BrAAIzXERHHVqdwulwv79+/H1KlTMWPGDNkbP/PpHcLzjarUcvazKUVZ8QWTLUORM0zIRhYbp4d05qvFeqnaYvOLjRGcK1EVVASg9uXBb3fzxhtv4Mtf/nLEGKfTCa93ZBeht7cXAL4IoCViYBiuGkKbzWa4XC40Nzejurpa9K2oBqaUdEUEU0pqKYg96Fqls54wpWToomprIfO0rzwZ9XW1Qqtqv3nzZuzZswczZ87ERx99hM2bNwMA9u/fj02bNgEAjh8/jrq6OtTU1OCmm24CgJcppbKETlqVOxzREJpSigsXLsDtduO6667TPetGKKVQSoII2c8BtyOq64WDmK2Svau4ufjpnyJEN6VkRLXnPHK+PrHwySSZlXadDEdBQQE+/vjjiM/r6urw2muvAQCuvfZaNDc38w+/rmTupJXQetnQfr8f//jHP7i9RD3JHNLeVUZSs1LanJ4tPp/IHFqls5CnXW/pDACQmVN+nRni3zFkT18ZmfVsLCiFoaEhTYSOJZKW0OHQQujBwUHs27cPxcXFKC8vV51tVfncbhBrZIkbMciRmiUzsYXOqUY6K7mW2i0fU0q6JOkkCTl6TKwmmpIXSExeMnFAggsECmLcErq7uxtHjhzB/PnzMWnSpOjyoVWQWvGcNuE5w6V0NPuxQFjUWhT2drTVS8X25RURPiVdUjrz7eh4SWcg4SV8BZG0r0atKjdbHKGvrw91dXVcS5xoe0wTayqo3yM7zpSapdjeJLZU+J2XtK3HYhVMxNDyAiAWqzYbN0pVW+kLZuS7KkuQuVoqfophTEloOUIGAgEcOnQIDMNg4cKFIf2t1GZrVT63O+IzvqSW7hQZuZWlhmhitnQ41EStiZGHWEajtgRUZqktLCEy8+dQHbkmJsEt6l5Q8eyaYRA6CshJaLfbjX379mHixImYNWtWxFtar5ssqX7ztm5UF5UPv47ZKu4oEnnI1Y6PFcS95erUf6XrJtYUTF/9HID4SmjDho4ChBBRCd3T04NDhw6hqqoKU6ZMie06TBaYUpTlv8qRWlLdVpo5pVRKC0ngMMIokbCmlAzJtck1DJBzwImtjYjs5YcH9sS7hG8y5UIDY8iGFpKwbH+r3t5eXVvICqnbEesz20AZebuTWFI0taIRDfMUkFqmlHTRPWct0lnaq20FJHwExGQBhcRxs7i9zu6Jq5HMfFQ+9AsAwPZvflHR+dFC6z50LDFmJHQ4GIbB4cOH4fF4sGjRIl37QSsFMfOuKZm5FPmAKnGGKbWllSJEAouQRlLCyvgB5EJNFcVxayQzAPjtI5U97/w/n8al7LKhcuuEoaEh7N27FxMmTMCcOXN0V7FEHUgCD2wIqQXPMY+OE7eJI+dUbzsLBpFosZ0VrFHI5OD/NkJbXEqTMvjFFyKOj6rdSvLPZ3/rNVQ+/Cv4/X4Eg8GYEHx4eNggtFKIObHsdjsOHjyIOXPmoKSkRPW8cvuUs57/z5Hrq/DSypE6dKwVjNupfHwMpLQo0dksp1QBu1CCkGols1bCA8rIzK9lVvX4v2L2t14DwzDw+/1gGEY3chte7ihAKYXP50NbWxvq6uq4WstqINZ0TnQ8j9SSD62JCDZXlyrhIxbpJfRgE1uaIs92aOkjdZ5wScksmCU1Qnqx34UlrZp0SekxNkUvzsBAt+DnVY//K8xmMyilYBgGPp+Pk95akWwVP4EkdooBVwjIMAyOHTsGSilqa2s1F0WXa2TGSueQNcgVFTDxWrKOklqsqAEg/sBpgdZtLSXdMElqJqhnUFfJzAdLeCEHWXiBQj6RFQX4UIqIdj/EhNmP/pr788T/vh8Mw3D/ASOxCoQQVTW5k43QSS+hPR4P9u3bh9zcXGRnZ0cV2qe1FDAxW0KIKz9eWTXLcCktTlAbiIRtGTKnlkb0Itc1pYs3YSMms3QJIZNF0h6GyawoOk2pOUOsKZw6Hui/PEJq9lkRaDww61uvY+7j22Cz2WC1WrmXPauaBwIBWelt2NAq4XQ6ceDAAcyaNQtTp07VvQwRH0LSmQP7tg8ntQTJhWxwIeksl9AhFpEmpToLkV+0uIDYS2TUXBB0tvFMiYgCBSZLqINMiNSso1Diu5vTskXJHB7cI2tXi2wbEmJC5SOvY9a3fg2r1YrU1FTYbDau4itLbjHbOxlt6KRVuSml6OzsxKJFi7im3vGozR2BcNWNJXFQSlMgoecq0CoU2ZG2dFCpWtmiaZYic5ssGOkVHjZeqhihwDFWhZetkCJwbnjbG/6L0GRLRdAnrF6PkFr8dw30X4Yld9KVD/ikJiaQMKld8c3/j/t32//5OoCRIBXW5GPJzDAMp5a73e6kCyxJWglNCEFVVRVHZiDWtbkJOCIqmkzFWEIkbWdRB5mAdCa2dMXkB+TIHClBhQmbPhLhJUZ0YoIpNUt0LabUTMmKpdw0ipM1bFEXOqA0CCoiuVlym0wmmM1m2Gy2EOlNCIHX6+X8OsmEpCW0EGKlcs96fg/vLx5RpeK/Ke+/EKiPGScWm2Lbl1isIUn/HAS94yJzhklSltSihDWZAZM58rrEFGKfRqjQJhO3hST60jKZYUrNFA81HU0zZUnMJ7JUaC2xpo7UaKPBCOnMB0tsPrlZCR2xFpOJK5Dx0EMP4Wtf+1oy9IYOQdKq3EKINgVSSOUOJTMLGVKGk5j9W+S0QL9w3WVAwkZWI4GkVG2zNVRNF1GLzaMSNqT9jZCKzPbCFlOFU9KEm+sBvH5YAmq+kPea1SJSM5U50AQSZ5ihgZHCEqwkpaP3X+C7iRGZD5/Ph40bN2Lx4sV45pln4pbZpRRJTWihnOhoGseFq9zS6hLlEVXhTaOj/6O1Kb1MvW/+dhRX4laB3cxKakEihT3YJls6QAiCYeQK/0anfna/6DqF4PP50Nvbi56eHgwNDSEvLw8TJkxAXl4ezGYzyjf9CyfhheLSicUWsn72t2D/X2prMejzjGg2/JdZkPdiN5lx+ucPKPoO9913H5YsWYKnn3466cgMAESlDRBXgyEQCIRI1PPnz8NkMmmKEAOA06dPIyMjA5MmTQKlFLNfEK+dHPFVOQeXigsSguDwAAAIFvUTk8JKkzKIyTo6d+hLQDA4hUfcK0X4w6QUITjxv+68so7R5Jf+/n7Mnz9fc2/ucASDQfT19aGnpwdOpxOpqalc50e+zwQAurq6cOHCBdTW1grWg5t+7z9dWe/o7yadqz76Ihgl9+lfflPRmn0+H+69915ce+21eOqppxJBZkUXTGoJHQ6TyaSLhGY9l5QyIEToIRVgLbuvqaaZugaHCRvzzX8BSJEZCA3ECCezEGlNKelo/WGD5DoopTh58iQCgQCqq6t1b/7G9l4GRpIcent7cezYMQQCARQUFGDChAkYHBzE5cuXsWDBAtHOJu3bntJtXWLw+XzYsGEDrrvuOjz55JNJKZlZjClCWywW+Hzay8GyNnQgEEDViyNlVOmoTXWF2DIklHCwhCPocV25dljpXUEPNj+MU6JUL5/MLMxpV7zM7FYPn8ytWxU1Lxw5PxhES0sLUlJSMHfu3Jg/wBkZGcjIyEBZWRkCgQDsdjtOnDgBt9uNwsJC2O125Ofn615+WQm8Xi82bNiA66+/Ht/5zneSmsxAkhM6/MeLpuk7W8mip6cHy351TOA4S2wRkgpJWxoEFTmHT2YWSupph48nZiuCft6LQIDM/Mi03Rtno7CwEBkZGZoePoZhcOTIEeTn56OsrEz1+dHCYrFgaGgIqampqKurw+DgIHp7e3Hu3DmYzWYUFBSgsLAQ6enpMSeX1+vFPffcgxtvvBHf/va3k57MQJITOhxat60opQgGgygqKhq9KSJ7wpRyxAZ4Ek5EdWY/Dd/PlLrxJlsaaDDyOwjavWzstXXUWRRmW/OJfPwHt3KOp9OnT2NoaAj5+fmc40mJyuzz+XD48GGUlJRw3RHjCUop2tra4PV6MX/+fJhMJuTk5CAnJwczZsyAx+OB3W7HqVOn4PF4QhxreqfQer1erF+/HkuXLsUTTzwxJsgMJLlTjFWPWfT19aGjowNVVVWK52DJzBaPm/t9EUeYxO8gJrXFzqASiQ984rKe5Ai7V8hzzXtgj3//f4jOz80dDMLpdHKOp4yMDBQWFmLChAmCqqvH48Hhw4cxY8YMRW119QalFCdOnAAARQ0Ew79feno651jTmrzDgiXzsmXL8PjjjycLmRUtIqkJHQwG4fdf2cJwuVxob29HdXW1ovOvOL/oCJlf+DB0gIwEFgMhpqjJzI0Pk9YRY0aJrITEYqCUYnBwED09PbDb7SCEYMKECZxqPjg4iObmZsydOxc5OeIJGbFCMBjE8ePHYbPZUFFRoZpAlFIMDQ2hp6cHvb29CAaDnGqelZWlaj6Px4P169fj5ptvxmOPPZYsZAbGI6GHhoZw4sQJLFiwQPZcSikn3U0mE+Y8/4H0CWq81+G/7ehNJyAIegeFzxCSumHRUXwnVssLy1SsRx28Xi+3J+x2u+H3+1FZWck1JIgngsEgjh49iqysLEyfPl2XOf1+P+x2O3p7e+FyuZCdnY3CwkLk5+dL9gH3eDy4++67sWLFCjz66KPJRGZgPG5bKbGhw1VsxTdFsfdaYD5KR6R2MMBFK/GjnuTIHC8is0hJSUFxcTFSUlLQ1taG6dOno6+vD+fOnUNmZiYKCwtRUFAQc68y64ArKCjA1KlTdZvXarVi0qRJXLxBf38/ent70d7eDqvVyqnm/Ewpj8eDu+66CytXrsQjjzySbGRWjDEloQOBAA4cOIBrrrlGcLwYmWd/dzeIKskjLIHFXpIsmSPWI2Ijh5M5HiQOR2dnJy5evIiamhquwCKlFC6Xi1PNzWYzCgsLUVhYqHt1y0AggMOHD2PSpElxjYf2eDycdsL2X+7s7MS//du/oaGhAQ8//HCyknnsS2g17XCkyAwAlBfyKU1uYQksJLVZZ5kQmQGBYnqjGVq//h/pqKys5AIr4o1z587B4XBg4cKFIdFfhBBkZ2cjOzub8yr39PSgtbUVXq+Xs0tzcnKieuj9fj8OHTqE0tJSTJo0Sf4EHZGamoqSkhKUlJSAYRgcOHAAr7zyCjo6OpCbm4s777wzIR5+vZDUhA6H2EMU7vwKJ7PACeETs/8QubAAmUdfCmIxxCFxwyaClueXwul04sSJE5g3b15C8mj520I1NTWy9nJqaipKS0tRWloKhmFgt9vR0dGB48ePK7ZLw+Hz+XDo0CFMnz4dhYWF0X6lqODz+bB161Zs2LABDz74II4dO4a8vLyErilaJLXKzRYG5OPvf/87rr322pAxfOcXCzEyi0oWMbtZgswAEW4YN0rm39xRAI/Hg4KCApjNZvT09KCmpiYiXjkeYD3JFosFlZWVUUlYvl1qt9thtVo51Vzqu3k8Hhw6dAgzZ85EQUGB5uvrgeHhYaxbtw533HEHHnrooWRVs/kY+yq3HNhKEuHOr9nP/TFysJSDTIzMAhIsPPY7xD4mBC3P3xRyPBAIoLW1FQ6HAxaLBWfOnOEkm17JDnJgGAbNzc3IycnBtGnTon54CSHIzc1Fbm4uKioqMDw8jJ6eHi4Wm3U6ZWdnc9caGhrCkSNHMHv2bE0VW/UES+avfOUrePDBB8cCmRUjqQktpWKLebIFyYzR1xtfG2HPESKzAiLz0fLCUtF1njp1CiaTCddddx0IIVyW0enTp5GWlsZJtlh5lP1+Pw4fPozJkyfHzPmUlpaGqVOnYurUqVws9oULF+ByuZCTk4OsrCxcuHAB8+bNQ3Z2dkzWoBRDQ0NYt24dmpqa8I1vfGNckRlIcpUbGLFz+Gv8+9//jsWLF0fYy4AEmcVumlACv1DVDpbgvG8vRmIWrFTMzs7G9OnTI9ZAKYXb7UZPTw96enpgNpsxYcIEFBUV6eZRZqO/pk+fjqKiIl3mVINgMIhLly6hra0NNpst5AUWbTSXFgwNDWHt2rVYvXo1vv71r481Mo8/lZtSCqvVipMnT2LixImKopoEb5pIqZ0IModJajkSs/B6vThy5AiKi4tFu2ESQpCZmYnMzExMnz6d2045fvw4/H4/CgoKUFRUpDrSiYXb7UZzczNmzZqVMEfPwMAALl68iMWLFyM9PZ1Lk2xubkYwGOSi1TIzM2NOLrfbjbVr12Lt2rXYtGnTWCOzYowZCc06vxiG4WJ4BwYGkJubi6KiIuTl5cHn8+HIkSMoLS3F5MmTMfu5P0beOJVSueV5ZSRmwRIpGscPq7b29PTA5XKFfEclkVwDAwM4duwY5s2bh6ws8eJ9sYTD4cDJkydRW1sr6Cjz+/0h0Wq5ubmcb0HvaDWWzOvWrcP9998/Vsk89kM/gRFCs0XPw1VstvJFd3c3ent74ff7UVZWhrKysrg5nPhwOp1obW3VlUj878gmWRQVFYlGcrHZSDU1NQlrddrT04P29nbU1NQoUq3DK5iwqvmECROi7irqdruxZs0a3HXXXdi4ceNYJTMwHgjNMAza29sxceJErk2JELq6unD27FmUl5ejv78fdrsdqampKCoqiqnDiY/Lly/j3LlzqK6ujtm2FJtk0d3dDbvdDovFErJd1NXVhfPnz6O2tjYh7XUB+ZJBcuD7Fnp7ewEgJJFEDSH5ZL7/fnU10JIQY5/Qvb29WLVqFTweD2699VY0NjZi5syZ3E2llKK9vZ2recUPcHC73eju7uYcTiy59SYbpZSLvKqurlYVZBEt2O0itvAeIQTz5s2LOpJLKzo6OtDV1YWamhrdfofw4oL5+fkoLCxEbm6upGo+ODiItWvXYv369bjvvvt0WUuCMfYJDYwQpre3F++++y527tyJrq4uLF++HCtWrMAHH3yAtWvXorKyUvLmejwejtwMw6CwsBBFRUVR9yVic3gZholJn2qlazhz5gxcLheKiorQ29sLt9ut+MHXC+fPn4fdbkd1dXXMzJ1gMAiHw4He3l7JHO/BwUGsWbMGGzZswL333huTtSQA44PQ4ejv78ebb76JF154AdOnT0d9fT0aGxuxZMkSRQ8S+8bv7u6Gx+Ph1Dl+EIQSsNtSWVlZKC8vT4hEpJSitbUVhJCQogBs8n93dzf6+vqQlZXFZVDFQoNob2/HwMAAV2UkHuDnePf29sJkMsHv98NsNmPLli247777sGHDhrisJU4Yn4QGgJ/97GeorKzEl770JezZswfbt2/Hvn37sGTJEjQ0NOCGG25Q5IxhGIZT51wuF/Ly8lBUVCQr1dhSPVLbUrFGMBhEc3MzMjMzJV8olFIMDAxwGVQ2m023vWB+bPjcuXMToqGw8Hq9eP/99/GDH/wAw8PDWLVqFbZs2ZJ03SGjwPgltBD8fj/++te/Yvv27fjLX/6CqqoqNDQ04Oabb1aUCBEu1bKzs1FUVBQRoqnHtlS0YFMPi4qKUFpaqupctrJHT08PKKWaHU6suUEpxezZsxPuPXa5XFi9ejXuv/9+rFq1Cn/6059wyy23aH7JfPDBB3jsscfAMAw2bdqEzZs3hxzftm0bnnrqKS767pFHHsGmTZui/h4SuLoIzUcwGMS+ffuwfft27NmzB6Wlpbj99tuxcuVKRSmLbPJBd3c3HA4H0tLSUFRUBKvVilOnTiV0f9fr9eLw4cMoKyvDxIkTo5qL73AaHh4OsbulCEopRUtLi+aSQXpjYGCAi/5av3591PMxDIPKykrs2bMHJSUlqK+vx5tvvom5c+dyY7Zt24b9+/fj1Vdfjfp6CjH+IsWUwmQy4ZprrsE111wDSimOHTuGHTt24M4770RWVhZuv/12NDQ0YNKkSYIPIz/5gN1GOXPmDHp7e5GdnY3+/n7YbLa4hy+yCQ565VLbbDZMmTIFU6ZMAcMwcDgc6OzsRGtrK5ceyWaKsWBLBrERbslA5lWrVuGBBx7A3Xffrcuce/fuRUVFBcrLywEAa9euxbvvvhtC6GTFuCQ0H+xWzrx58/C9730P7e3t2LlzJ+677z4wDIPbbrsNDQ0NonYoIQR2ux2BQABf+tKXEAgE0N3djebmZlBKOY95rBt/u1wuHD16FFVVVTFJcOBXJ2E1lJ6eHpw5cwapqalcFFdra2vCanaHgyXzgw8+iLvuuku3eTs6OkJMmZKSEnz++ecR41jzrrKyEj/5yU9Umz+xwLhUuZWAUorLly9j165d2LlzJ+x2O1asWIHGxkZUVVXBZDJx7WD8fr+g08fn86Gnpwfd3d3w+XxccoXesclsYYTq6uqYvziE4Ha7ucAZm82G4uJizu5OFPr7+7Fq1So8/PDDWLduna5zv/POO/jggw/w2muvAQD+/d//HZ9//nmIem2325GZmYmUlBT88pe/xG9/+1v813/9l67rCMPVa0NrgdPpxB/+8Afs3LkTp0+fxvXXX49jx47hueeew5IlS2QJGggEuO0wdh+Y9ZhHQ+7u7m6cPXtWcRhlLMAvGZSXl8d9T7YsUVFRkeptv2gQSzIDwH//939jy5Yt+PDDkbLPW7duBQA8++yzguMZhkF+fj76+/t1XwsPBqG14ty5c1i5ciUmTpyI7u5uXHvttWhsbMR1112nKKQyGAxyyRX9/f3IycnhPOZqvK4XL17kIq8S0dcJuFIyaNq0aREpmGxZIjZRJicnJ+bFG1gyP/LII1i7dm1MrhEIBFBZWYmPP/4YxcXFqK+vx29+85uQBg+dnZ1c7bGdO3fiRz/6ET777LOYrGcUBqG14vz58zhx4gRuvvlm+Hw+/PnPf8aOHTvwt7/9DbW1tWhoaMCyZcsUqb+UUi65wuFwcMkVEyZMEA3yiFUbV7VQUzKI/Z49PT3czoDexRv6+vqwatUqPProo1izZo0uc4ph9+7dePzxx8EwDDZu3IjnnnsOzz//POrq6tDY2Ihnn30W7733HiwWC/Lz8/Hzn/8cs2fPjuWSDELrDYZh8Nlnn2HHjh346KOPUF5ejoaGBtx6662KcrPZ6KbLly9zQR5sjDm/lC7bxjVR4aRAdCWDhIo3RFsOuK+vD01NTXj88cexevVqTXOMcRiEjiXYSK3t27fj/fffR35+PhoaGnDbbbfxmuJJY2hoiIsxZ9vT9PX1ITMzEzNmzEjYlhDbGkcvjzpbvKG7u1tT8Qan04lVq1bhiSeewKpVq6JezxiFQeh4gQ2B3LFjB37/+9/DZDLhtttuw5e//GWUlpYqemjdbjcOHz7MVWVhPeZa28JqBbs9Nn/+/JiUGmaLN3R3d2NwcBB5eXkoLCwULd7gdDrR1NSE73znO2hqatJ9PWMIBqETAUopLl26hJ07d2LXrl0YGBjArbfeioaGBsyZM0eQnOFtXNlqHt3d3RgeHtatwL0c+vr60NraGrftMbniDSyZn3zySdx5550xX0+SwyB0MsBut+O9997Drl27cP78eZRBbgkAAAruSURBVCxbtgyNjY1YuHAhTCYTZ6tWVFQItnEN9ySrLUekFHIlg2INfvGGzs5OvPDCC3C5XHj00UfxjW98I+7rSUIYhE42uFwuvP/++9i1axeam5tRXV2NEydOYPv27Yq6SIRLtKysLE6iReMJZyPCamtrE7bXzYfD4cC6deswe/ZsnD17FuvWrcPGjRsTvaxEwyB0MuOTTz7Bxo0bsWTJEhw6dIjbDrnpppsUSUg2LZItR6S15FK0JYP0ht1uR1NTEzZv3oyvfOUruswplznl9Xpxzz334MCBAygoKMBvf/tbTJs2TZdr6whFhE5cAqsIfve733Ghl/v37xcd98EHH2DWrFmoqKjAyy+/HMcV6oOcnBx88skn+I//+A8cPnwYGzduxF/+8hfccMMNuOeee7B9+3a4XC7R8wkhyMnJwcyZM7FkyRLMnDkTXq8XBw8exIEDB3DhwgV4PB7R84GRmOWOjg4sWLAgqcj87LPP6kZmhmHw8MMP4/3330dLSwvefPNNtLS0hIx5/fXXkZeXh7a2NjzxxBN45plndLl2IpB0Evr48eMwmUx44IEH8OMf/xh1dXURY5Skt41VBINBHDx4ENu3b8eHH36IiRMnctthBQUFipxiSkouxaNkkBrY7Xbceeed+O53v4vGxkbd5lUSxrlixQps2bIFX/jCFxAIBDBp0iRuKzGJMDbTJ+fMmSM7Ziynt8nBZDJh0aJFWLRoEV566SW0trZix44dWLt2LVJSUnDbbbehsbERxcXFog9camoq15qGzXk+deoUV3LJ7/cr7kAZD/T29qKpqUl3MgPKMqf4YywWC3JycmC32wWdlMmOxN9NDRC6SR0dHQlcUWxACMGcOXPw3HPP4dNPP8W2bdtgtVrxwAMPYNmyZfjxj3/MVQ0RA5vzXFtbi7q6OgwODqK3txfDw8M4efIkHA4Hgrze2fEGS+bvfe97upP5akRCJPTy5cvR1dUV8flLL72EL3/5ywlYUfKDEIKysjI89thjePTRR7lKqN/97nfR2dmJm2++GY2NjaJSlw1+SUlJQU1NDSilcDqduHz5Mk6cOCFacimW6OnpQVNTE1544QXcfvvtMblGcXExLly4wP198eLFiKZ97JiSkhIEAgH09/cnvN2tViSE0B999FFU5yu5SeMZhBAUFhZi06ZN2LRpE/r7+7F792789Kc/xYkTJ3DDDTeEVEIVKhlECEFBQQEKCgpCSi6xXTHZBJJYOct6enpw55134vvf/z5uu+22mFwDAOrr63Hq1Cm0t7ejuLgYb731Fn7zm9+EjGlsbMQbb7yBL3zhC3jnnXewdOnSZLOfFSPpnGIsbrzxRlGnmJL0tqsVHo+Hq4S6f/9+1NXV4ezZs3jiiSewfPly2QeVTaxgnWpWq5XbDtNrj7q7uxtNTU0xJzMLucwpj8eD9evX4+DBg8jPz8dbb73F+WeSCGNzH3rnzp341re+hZ6eHuTm5qK2thYffvghLl26hE2bNmH37t0AhG+SgVAMDAxgxYoVSEtLQ09Pj+pKqMBIdw6W3HqUXGLJ/OKLL2LlypWa5rhKMTYJHQ84HA6sWbMGZ8+exbRp0/D2228Ltlw1m82YP38+AGDq1Kl477334r3UqOB0OrFnzx6sXr2aq4S6Y8cO/Od//qfqSqjASMw5S24tJZcuX76MpqYmvPTSS7jlllui/XpXGwxCi+Hpp59Gfn4+Nm/ejJdffhlOpxM/+tGPIsZlZmZicHAwASuMLfiVUHfv3o3MzEzZSqjhUFtyySBz1DAILYZZs2bhz3/+MyZPnozOzk7ceOONOHHiRMS48UpoPtiGfzt37sS7776rqBJqONiSS93d3VwpIn7Jpa6uLqxatQo//OEPsWLFijh8q3EJg9BiyM3NRV9fH4CRBzovL4/7mw+LxYLa2lpYLBZs3rwZd9xxR7yXGlcoqYSqZA42geTkyZP41a9+hc7OTvzwhz8c979fjHF1E1pqr3vDhg0hBM7Ly4PT6YwY29HRgeLiYpw5cwZLly7Fxx9/jBkzZsR03cmE8EqoS5cuRUNDA+rr6xXtVV+6dAn33nsvysrKcPLkSSN4JDoo20ejlKr5b1ygsrKSXrp0iVJK6aVLl2hlZaXsORs2bKC/+93vYr20pIXb7aY7duygd999N62qqqKbNm2iv//976nT6aRutzviv9OnT9OFCxfSPXv2cHMwDKPbeux2O12+fDmtqKigy5cvpw6HQ3CcyWSiNTU1tKamhjY0NOh2/QRAEUevSkI/+eSTdOvWrZRSSrdu3UqfeuqpiDEOh4N6PB5KKaU9PT20oqKCHjt2LK7rTFZ4vV764Ycf0gceeIBWVVXRr33ta/Stt96iPT091O1207a2NrpgwQL60UcfxWwNTz31VMg9fPrppwXHZWRkxGwNcYZBaDH09vbSpUuX0oqKCrps2TJqt9sppZTu27eP3n///ZRSSj/99FM6b948Wl1dTefNm0dfe+21RC45aREIBOjf/vY3+u1vf5tWV1fTW265hVZUVMSUzJQq17IMQl8FhI4V3n//fVpZWUlnzJjBSQ8+PB4PXb16NZ0xYwZdvHgxbW9vj/8iYwiGYegnn3wSl5dfTk4O9+9gMBjyNx9ms5kuWrSIXnPNNXTnzp0xX1cMYRA6nggEArS8vJyePn2aer1eWl1dHaGi/+xnP6MPPPAApZTSN998k65evToRSx0zWLZsGa2qqor4b9euXREEzs3NFZzj4sWLlFJKT58+TcvKymhbW1vM1x0jKOJo0uVDj1UoydF+9913sWXLFgBAU1MTHnnkEVBKx2wiQKwhlcQzceJErh1NZ2dnRJseFmzSTnl5OW688UYcPHhwXO9UjMl86GSEkhxtsUR6A+rBZkgBwBtvvCGYdut0OuH1egGM5F1/+umn46IIhhQMQhsYk9i8eTP27NmDmTNn4qOPPuIK/+3fvx+bNm0CMFLOqq6uDjU1NbjpppuwefPmcU9oQ+XWCVdbIn2iUVBQgI8//jji87q6Oq6v87XXXovm5uZ4Ly2hMCS0TuAn0vt8Prz11lsRUVF8NXGsJ9IbSE4YElonWCwWvPrqq1ixYgWXo11VVRWSSH///fdj/fr1qKio4BLpDRjQE+M2ltuAgXGGsVlo34A05BoMbNu2DYWFhaitrUVtbS1nTxq4OmCo3GMIbBcIfoOBxsbGCM/tmjVr8OqrryZolQYSCUNCjyHwg1dsNhsXvDKWcbW0PooXDEKPIShtMLB9+3ZUV1ejqakpZCstGTFv3jzs2LED119/vegYJf2pDIxArVPMQAJBCGkCcAuldNPo3+sBXEMpfYQ3pgDAIKXUSwh5AMAaSunSxKxYOQghfwbwJKU0QkwTQr4AYAuldMXo388CAKV0a1wXOQZgSOixhQ4Apby/S0Y/40AptVNKvaN/vgZgUZzWFksUA+CrGhdHPzMQBsMpNrawD8BMQsh0jBB5LYCv8QcQQiZTSjtH/2wEcDy+S4wEIeQjAJMEDj1HKR3bToAkg0HoMQRKaYAQ8giADwGYAfyaUnqMEPIigP2U0vcAPEoIaQQQAOAAcG/CFjwKSunyKKeQ1UwMjMCwoQ0kBWRsaAuAkwCWYYTI+wB8jVJ6LK6LHAMwbGgDCQUh5CuEkIsAvgDgj4SQD0c/n0II2Q2MaCYAWM3kOIC3DTILw5DQBgyMIxgS2oCBcQSD0AYMjCMYhDZgYBzBILQBA+MI/z/mRYSsRbjJfwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx.plot3D(lambda x,y: net.propagate([x,y])[0], (-1, 1, .1), (-1, 1, .1), \n", " zlabel=\"activation\", \n", " mode=\"surface\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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