Skip to content

Instantly share code, notes, and snippets.

@yyoshiaki
Last active September 10, 2017 02:02
Show Gist options
  • Save yyoshiaki/d672647e68bf93bfff80d61f7156f315 to your computer and use it in GitHub Desktop.
Save yyoshiaki/d672647e68bf93bfff80d61f7156f315 to your computer and use it in GitHub Desktop.
Chapter2_0
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas as pd\n",
"from pandas import DataFrame, Series\n",
"import numpy as np\n",
"from numpy.random import multivariate_normal, permutation\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# データの用意[MLE-01-4]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"np.random.seed(20160512)\n",
"\n",
"n0, mu0, variance0 = 20, [10, 11], 20\n",
"data0 = multivariate_normal(mu0, np.eye(2)*variance0 ,n0)\n",
"df0 = DataFrame(data0, columns=['x1','x2'])\n",
"df0['t'] = 0\n",
"\n",
"n1, mu1, variance1 = 15, [18, 20], 22\n",
"data1 = multivariate_normal(mu1, np.eye(2)*variance1 ,n1)\n",
"df1 = DataFrame(data1, columns=['x1','x2'])\n",
"df1['t'] = 1\n",
"\n",
"df = pd.concat([df0, df1], ignore_index=True)\n",
"# dfだと並んでるのでシャッフル\n",
"train_set = df.reindex(permutation(df.index)).reset_index(drop=True)\n",
"\n",
"train_x = train_set[['x1','x2']].as_matrix()\n",
"train_t = train_set['t'].as_matrix().reshape([len(train_set), 1])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>x1</th>\n",
" <th>x2</th>\n",
" <th>t</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>20.729880</td>\n",
" <td>18.209359</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>16.503919</td>\n",
" <td>14.685085</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>5.508661</td>\n",
" <td>17.426775</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>9.167047</td>\n",
" <td>9.178837</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>8.640423</td>\n",
" <td>9.561952</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 t\n",
"0 20.729880 18.209359 1\n",
"1 16.503919 14.685085 0\n",
"2 5.508661 17.426775 0\n",
"3 9.167047 9.178837 0\n",
"4 8.640423 9.561952 0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"train_set.head()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1160a2eb8>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAF3CAYAAABKeVdaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAET+H5lwZr+O219+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115fab898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train_set0 = train_set[train_set['t']==0]\n",
"train_set1 = train_set[train_set['t']==1]\n",
"\n",
"plt.figure(figsize=(6,6))\n",
"\n",
"plt.ylim([0,30])\n",
"plt.xlim([0,30])\n",
"plt.scatter(train_set1.x1, train_set1.x2, marker='x', label='pos')\n",
"plt.scatter(train_set0.x1, train_set0.x2, marker='o', label='neg')\n",
"plt.xlabel('x1')\n",
"plt.ylabel('x2')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ここまではほとんど本文と一緒"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# modelの設計 [MLE-5-7]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from keras.models import Sequential\n",
"from keras.layers import Dense, Activation"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model = Sequential()\n",
"model.add(Dense(units=1, input_dim=2, kernel_initializer='zeros'))\n",
"model.add(Activation('sigmoid'))\n",
"model.compile(optimizer='adam', loss='binary_crossentropy', metrics=['accuracy'])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from keras.utils.vis_utils import plot_model\n",
"plot_model(model, to_file='Chapter2_0_model.png', show_shapes=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"※マークダウンで表示してます。\n",
"<img src='Chapter2_0_model.png'>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 学習 [MLE-8,9]"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# verbose : epochの進捗。今回は可視化しない。\n",
"# fitの戻り値にLoss funcが含まれるため回収。\n",
"history = model.fit(train_x, train_t, verbose=0, epochs=20000)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x120b9e208>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhAAAADLCAYAAAA/ZqpMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzt3Xl8VNX5x/HPkxUCSSBsASGyRBEVRHHBHWsVK9attljt\nYq22Wm1trb9WrK24VKxtbW1R2mqL1bpXa6uoKNatLriyKAKKRNkXgSRA9pzfH/dOmExmQmaSzJ1J\nvu/Xa17MvffcmWcmc4Znzj2LOecQERERiUdG0AGIiIhI+lECISIiInFTAiEiIiJxUwIhIiIicVMC\nISIiInFTAiEiIiJxUwIhIiIicVMCISIiInFTAiEiIiJxUwIhrTKzvczsGTMrNzNnZqcHHVM0ZvaC\nmb0QdBwiIt2FEogAmNl5/n/GBwcdSxv8HRgL/Az4OvBWUIGY2b5mNt3MhgcVg0iqMLPv+d8j84OO\nRbqnrKADkNRlZj2Bw4FfOudmBh0PsC9wDfACUBZx7MRkByMSsHPx6sGhZlbqnPso4Hikm1ELhLRm\ngP/vtkCjaAPnXK1zrjboOESSwcxGAEcAlwOb8JKJlGNmvYKOQTqPEogUZmYDzeyvZrbBzKrNbKGZ\nfTNKubPN7G0zqzSzCjNbbGaXhR3PNrNrzOxD/3E+M7P/mdkJrTz3dOATf/PXflNpmX/srtD9yHPM\nzEXsc2Y208xON7P3zKzGzN43s5OinL+H/3rX+uVWmtksM8sxs/OAh/2iz/uP68xskn9uiz4QbXn/\nzGy4/zhXmNl3zGyF/9xvmtkhsd4fkYCdC2wF5gD/JEoCYWYZZnaZ/31QbWabzOzpyEunZvY1M3vD\nzHaa2VYze8nMTgw77vzvg8jHLzOzu8K2Q5dmjzWz281sI7DaP7anv2+ZmVX530EPR7scaWZ9zOx3\n/uPXmNlqM7vbzPqbWW8z22Fmt0Y5b6iZNZjZtDa/i9IuuoSRovzLBy8ApcBMYCXwZeAuM+vjnLvV\nL3cCcD/wHPBT//QxwJFAqJJNB6YBdwJvAAXAwcBBwLMxQngUr+Xhd/7jPwlsT/DlHAWcCdwOVAI/\nAB4xsxLn3Gf+6xjix9YH+AuwFNgDOAvIA14C/uCfeyPwgf/YHxBFW9+/MOcA+cCfAQf8BHjUzEY6\n5+oSfN0ineVc4FHnXK2Z3Q9cbGaHOOfeDCvzV+A84Cm8up8FHA1MxO/LZGbX4H0/vAr8AqgFDgM+\nBzyTYGy347WKXAeEWiAOwWsxeQAvqRgOXAy8YGb7Oud2+vH0Bl7G+w77G/AO0B84FRjqnFtgZv8C\npprZ5c65hrDn/SpgwL0Jxi3xcs7pluQbXqV2wMGtlLnML3Nu2L5svIpeCeT7+34PlAOZrTzWAuCJ\nBOIc7sdwRcT+u4CyKOWnex+pZvscUAOMCts3zt9/adi+vwMN0d4TwPx/z/LPmxSlzAvACwm8f6HX\nuBnoG1b2VH//KUF/XnTTLfwGTPA/m5/3tw1YBfw+rMxxfplbo5wfqk+lfp17FMiIVsa/74DpUR6n\nDLgrbDv0vfZy5PcR0DPK+RP98l8P23etv++MVuI+0S9zUsTxheHfAbp1/k2XMFLXycB6vF//ADjv\nl/AfgN7Asf7ubXhZfszLEX6Z/cxsr84JdbfmOedWhDacc4uACmAkeE2twOnA4865FqM8nP/tEKe2\nvn8hDzrntoZtv+z/OzKB5xbpTOcCG4Dnoal+PAicbWaZfpkv4f0ne23kyWH16XS8y9jXOecaY5RJ\nxB2uecsAzrmq0H3/kmo/4CO876aDwop+CVjonPtXK3HPA9YSdtnGzPbH+2Hyj3bELXFSApG69gQ+\njKzY7Gqy39P/93ZgOfCUf63wb1H6F/wC79LAcv966K/NbFynRd7Sp1H2bQX6+vcH4F1Wea8Dn7Ot\n719IsxjDkom+iKQIP0E4Gy95GGFmpWZWCswHBgHH+0VHAWudc1taebhRQCOwpIPDXBm5w8x6mtl1\nZrYKr0VyM95ljj5AYURMrX4P+HX6XuB0M8vzd58LVLOrn5QkgRKINOec2wiMx2ty/w9e0+VTZvb3\nsDIv4VXM8/Eq5wXAO2Z2QaJPG2N/Zoz9DTH2W4LP3xnSIUaRzwGD8ZKID8NuD/nHkzkaI1Z9r4qy\n7494c8k8BHwF7zLECcBnJPb/0N14LYmnm5nh9WF6wjlXnsBjSYLUiTJ1fQKMM7OMiF/R+4QdB7wh\njMDjwOP+5YDbge+a2fXOHxvu/xKZDcz2Oyq9hNdn4c4EYtuK98shUuSv+rbahHdJY//dlIunWbXN\n759IGjkX2AhcEuXYmcAZZnYRsAKYbGZFrbRCrMD7z3tfvH5SsbSo72aWg5fItNVZwN+dcz8Oe4we\nkY/rx7S77wGcc++Z2bt478dqoAT4fhzxSAdQC0TqehIoBqaGdphZFl4l2Q686O/rF36S/5/lIn8z\nN0aZ7XjXH3MTjG0FUBh+GcTMBgNnJPJgfsyPAV+MHGLmP3aoFWCH/2+05CVSm94/kXThjyw6E++X\n9j8jb3ijjfLxWiMfwWs9uybK44Tq02N4lzB+4f/wiFYGvPp+TMTDfIfYLRDRNNCyNe/7UR7jEeAA\nM2vxXRIRE8A9eC0ZP8RryXgqjnikA6gFIljnR+mvAN7wy78A38UbdjgBr8fzWXjDM3/onKv0y95p\nZkXAf/Ey8T3xKuYCdl3vX+LPkfA2sAVvCOdZeF84iXgA+BXwLzP7A94wy4vx+mIc1NqJrbgK78vg\nRTP7ix/7YLyhl0fhdbZagPdF9FMzK8S7lvpf/zJOpLa+fyLp4lS8BOE/MY6/jj+plHPuVDO7B/iB\n33n6abwfjEfj9Z+Y6Zz7yMx+CfwceNnMHsWrU4fgdVIMzadwJ/AnM3sEb9j3AcBkvH4MbfUE8HUz\nK8frc3E48Hm8//jD/Rqvnj5sZn/D+84q8l/7RXgjLULuA27G++Eyy2m4dfIFPQykO97YNdwp1m2o\nX24g3ljoTXgVexFwXsRjfQmYi9cruwavaf5PQHFYmZ/hdbLaCuzE+8/5KiB7N3EOJ8owTv/YCcBi\n/zmX4jUlTif6MM6ZUc4vI2wImL+vBG8450a8DlEr8JKcnLAyF/j76wkb0knEMM443r/WXmPU4Wu6\n6RbEDS9xqALyWikzG28uh354v+6v8Ot7jV+vngQOijjnW3jzLVTj/cB4AX+IqH88A7jJr0c78JKR\nUZF1mFaGp+O1GobqYqX/GKNjfA8U4fWZWO3HvQpv6Hi/KI87x3/Ow4P++3THW2hcrYiISFrxJ5Ua\n65wrDTqW7kh9IEREJO34/a6m4PWFkACoD4SIiKQN8xYSOxLvcmYd3vTzEgC1QIiISDo5Fq/VYQTw\nTefc+oDj6baUQIhIq8zsGDN73LxVUp2Znd6GcyaZ2Tv+aoofmbeaqki7Oefucs6Zc25P5w1flYAo\ngRCR3emFN3wu2uRFLfhNzHPwhguOx1vw7U4zm9xpEYpI0mkUhoi0mZmFVkp8rJUyvwKmOOf2D9v3\nANDHORdt3hMRSUNp0YnSn4FsCN74YRFpn3y8hZY669fD4XgrJoabi9cSEZWZ5dJyZtQivHkJRKT9\nOrzep0UCgZc8rA46CJEuZCiwppMeuxhvYrNwG4ACM+vpwpZ2DjONKNMui0iH6tB6ny4JRCXAqlWr\nKCgoCDoWkbRVUVHBsGHDIPVa82YAt4Rt5wOrVedF2q+z6n26JBAAFBQU6MtEJPWtBwZF7BsEVMRo\nfcA5V4M3bTEAoXWTVOdFUpdGYYhIR3sNOD5i3wn+fhHpIpRAiEirzKy3mY03s/H+rhH+dol/fIaZ\n3R12yp+AkWZ2s5ntY2bfA74C/C7JoYtIJ0qrSxitmf6f93mzbAtXnDia4/YZGHQ4Il3JwXhzOoSE\n+ir8HW8FxsF4K6kC4JxbaWZT8BKGy/A6QF/gnJublGg70eqtOznqV8+3WuZHn9+b381bnqSIglVS\nlMenW3a22N+/dw6bt9c2K7ejpp7PdtS2KDswP5evHlrCrc99GPN5zjhwD8o+28GarVWMLs7nnU+2\nsqO2AYCnLjuanz6yiEWry1uN9ZGLj+Dax99vKjdmcAHry6vYurPlKuC/nzqep99bz/RT92PijOcA\nOPWAIQzvl8cf/vtRU7mnLjua3z6zjLMmDOXht1Yzef9i+ublcP0TS/h0y07OPmQYowb0ZsWm7Uw7\neQyfv+VFNlXWcPWUMdww5wNKivLYa2BvTjlgMGccOJTp/3mf3rlZXDF5dNNz/OLf73H3a59w7an7\n8c0jhgPw0Fur+Mk/FwFwxzcO5oR9I68YJkdazANhZgVAeXl5eczrod+a/QbPL9vEzWeN4ysHD0tu\ngCJpoqKigsLCQoBC51xF0PHE0pY6H4Sv/Pk13lipkaUSv6P36s/LH26OefzlnxzH0Td7yenyG75A\nTlYGKzZt5/jfvthUpuymKQAMv3JO075RA3rx3I8ntfrcnVXvu8wljJ45mQBU1zUEHImIdFWrovza\nFmmL5RtaHwBRU7/r/676xkZvX13jbh+3vKq+fYG1Q9dJILK9qzE7a5VAiEjnqG9M/RZbSU0Z/sii\ntqhr8D5nGSn+P3SKh9d2PXO8l1KlBEJEOkmDEghJUDwJROhzFs85Qeg6CUS2LmGISOdSAiGJ2l1r\nQvhHq77Bu3SR0ab8IbjPZJcZhZHfIxsgai9fEZF4NDQ6XlvxGUP79mRYUR6rt+4kOzOj6YtdJF6r\ntkSdQ63JQ2+uarr/9idbycywFiNcnl+2kYIezf/bDvKyfZdJIEoH9gZ231FFRGR3vvqX13mjTKMt\nJHnu/N/KpvsX3/tO1DLfmv1mi31BJhBd5hLG6OJ8ABatLm/Wm1VEJF5KHiRd9M4Nrh2gyyQQw/v1\narr/0cbtAUYiIiJd1ZGl/YIOoZm6AC+rdZkEIjOst8m1jy8JMBIREemqslJsbGWQHXtT653oIJop\nTkREOkN2ZmoNraxvdAQ1o3SXSiBuPXv87guJiIgkLLUSCAiuFaLLjMIAOGBon6b7GyuqGVjQI8Bo\nRCQVvbBsI+dF6c0u0hapOLfTmm1V7BnWDzBZulQLxPD+u97A99em7DpBIhIgJQ/SHoeNKGLyfsGs\nfhlLVUATKHapFohwf3tlpZb1FpGE9c7NYntN9IWK9h7Umw0VNQwqyGX5Bm/UV6+cTHrlZpHfI4tB\nfutnz+xMtlXV0adnNis37+DGM8eybWcd/16whq8eWkJNfSN//O+HHDK8iLfKtvClCUMZVNCDZ97f\nQI/sDKYeMoyH3lpFUV4OT7+/nvHD+nDKuCE88s5qMs1YW17Ftp11fPXQErbsqOX1jz9jfEkf/vzi\nx02x9u+dS8+cDL43qZTHF67l1RWfMXJAL0b278W8DzY2lfviAUPYsqOGoX3yOKK0H3PfX8+Gihr6\n9crhhWWbKOqVw/hhfXj6/fUMKexBQc9sTh0/hFnPr6Ay4n2aOLKI0oG9+cfrn5Kfm0Vudgabt9ey\n35ACTty3mPElfXhq8Tq+fPAwfj13KXUNjj369OT0A4fwyNtrGNG/Fw+8+Sk/OH4v+vfOpba+kT55\n2fxn4VpG9OvFb59dTm5WBseNHsja8iqWrqvkwJI+zPf7vxUX9KC8qq7pP9avHjqMEf17sW1nHfsO\nKWD2K2VsrKymoEc21522P0+/t47Pttdy1sFD2VBRzZGj+vP9+9+lpCiPQ0YUsamyhj889yFTxg7m\nG4cP56wJQxnebwVPLFpHcWEPvj5xT/J7ZFFeVcdLyzdRVdfA5/YZSE5WBv/38CKunjKG7TX17Dek\nEIBfz13G+UeNYM9+ecx6YQX/Xer9Hc47YjjlVXWs2VZFbX0jmypr6JmTyY6aeop65bB0fSU3nL4/\nr674jAyDk/YrZmNlDYMLenbERz5uXWY575AL/v4m8z7YSGHPbBZec2JyAhRJE1rOu/lSyK0pu2lK\n1LJHlvbj3gsmdmhMIp1Jy3m30dcPHw5AVtsmERcREZEEJJRAmNklZlZmZtVmNt/MDt1N+T5mdpuZ\nrTOzGjNbbmYnJxZy6w4s8TpSfrajli1aF0NERKRTxJ1AmNlU4BbgWuAgYCEw18yidjgwsxzgWWA4\ncBYwGrgQWJNYyK0r8BfVAvhb2NziItI9VVbXsb2mnsrqOtaXVwcdjkiXkUgnysuBO5xzswHM7CJg\nCnA+cFOU8ucDRcARzrk6f19ZAs8bt5nPf8QVk0cn46lEJAVd/8QS/trBPyQyU2wmQpGgxFUT/NaE\nCcC80D7nXKO/fXiM004FXgNuM7MNZvaemV1lZpmtPE+umRWEbkB+PHFePWUMAIMKcuM5TUS6mEST\nh0uPKwXgtnMOanHs2lP3a1dMIl1FvC0Q/YFMYEPE/g3APjHOGQl8DrgXOBkoBW4HsvEug0QzDbgm\nztiaHL3XAOADNlTUUFXbQM+cmLmKiHRTZTdN2W2ZKeMGM2Xc7suJdEfJaIvLADYC33HOve2cexD4\nJXBRK+fMAArDbkPjecLSgb2b7r/04aZ44xUREZHdiDeB2Aw0AJHTcA0C1sc4Zx2w3DkXPlXWB0Cx\nf0mkBedcjXOuInQDKuMJMjPDmpZcfWHZxt2UFhERkXjFlUA452qBt4HjQ/vMLMPffi3Gaa8ApX65\nkL2Bdf7jdYoJJX0BuP+NVZ31FCIiIt1WIpcwbgEuNLNvmtkYYBbQCwiNyrjbzGaElZ+FNwrjVjPb\n28ymAFcBt7Uv9NZNGTek6X5ldV0rJUWkq/n3gjVtnnFSRBIT9zBO59yDZjYAuA4oBhYAJznnQh0r\nS4DGsPKrzGwy8DtgEd78D7cCv2pn7K0aXbxr4MaStRUcNrJfZz6diKSI8p11XPbAgqDDEOnyElpM\nyzk3E5gZ49ikKPteA5I+efyYwQV8sK6Cc+6cz4obO2XiSxFJMeVVu29x/Me3D0tCJCJdW5eeEWVA\nvjcPRENj6i8YJiLJs/8eHbtAl0h31KUTiBlnjm26H2tZXhHpfjK02J5Iu3XpBGJIYY+m+z984N0A\nIxGRZHHsvsUxw5RAiLRXl04gLOxLYt4Hmg9CpDtwbbhiqQYIkfbr0gkEwMWTRjXdr61vbKWkiHQX\naoEQab8un0B8LyyBePfTrQFGIiLJkJ3V+tfa6EH55O6mjIjsXkLDONNJfo/spvsX3P0Wi6dPDjAa\nEQnCjDPHcvRe/embl0NOVkazy5sikphukYaftF8xAJXVGokhkigzu8TMysys2szmm9mhuyn/QzNb\nZmZVZrbKzH5nZj1aO6cjNEYZtl1c0IOhffPolZtFdma3+NoT6XTdoiZd9vm9mu6v2LQ9wEhE0pOZ\nTcWbxv5a4CBgITDXzAbGKH8OcJNffgzwbWAqcGNSAhaRTtctEoh9wqa1nvt+rEVDRaQVlwN3OOdm\nO+eWABcBO4HzY5Q/AnjFOXefc67MOfcMcD/QaqtFR2hsyzAMEWm3bpFAmBkHlvQB4OanlwUcjUh6\nMbMcYAIwL7TPOdfobx8e47RXgQmhyxxmNhI4GXiyM2NduGobtz3/UWc+hYj4unwnypAvTxjGu59u\nA7yprTM1EFykrfoDmcCGiP0bgH2ineCcu8/M+gP/M6/HYhbwJ+dc1EsYZpYL5Ibtyo9WrjXryqs4\n7bZXoh7rk5cddb+IJK5btEAAfOXgoU33//XumgAjEen6zGwScBXwPbw+E2cCU8zs5zFOmQaUh91W\nx/ucKzfviHnswJK+8T6ciOxGt0kgsjIzmLCn9yVyxcMLA45GJK1sBhqAQRH7BwGxOhVdD9zjnLvT\nObfYOfcvvIRimplF+96ZARSG3YZGKZOQspumdNRDiUiYbpNAAFx6XGnT/Q0V1QFGIpI+nHO1wNvA\n8aF9fhJwPPBajNPygMipXxtCp0d5jhrnXEXoBlTGG6e1fFgR6UTdKoE4srR/0/2Tb305wEhE0s4t\nwIVm9k0zGwPMAnoBswHM7G4zmxFW/nHgYjM728xGmNkJeK0SjzvnGiIfXETST7fpRAmQEzZ9bY6m\nshVpM+fcg2Y2ALgOKAYWACc550IdK0to3uJwA+D8f/cANuElFT9LWtAi0qm63f+iD33XG3VWWV1P\nXYMW1xJpK+fcTOfcns65XOfcYc65+WHHJjnnzgvbrnfOXeucK3XO9XTOlTjnLnHObeuM2Bobnfo2\niSRZt0sgDirpQ79eOWyvqWfOonVBhyMiHeCVFZtZs62qxf6JI4sCiEake+h2CURWZgYj+vcC4IcP\nLgg4GhHpCDtqoneruO+CiUmORKT76HYJBMD5R41ouh/tV4uIpJdYi2tmaMI4kU7TLROI0OqcAFc+\nsijASERERNJTt0wgMjKM0YO8mXJf/nBzwNGISHupnUEk+bplAgEw62sHNd1vbQpcERERaanbJhAj\nB/RumgvisgfeDTgaEWkPi9UJQkQ6TbdNIAC+N2kUAItWl9PQ6AKORkREJH106wTiO8eMbLo/+5WV\nAUYiIu2h9geR5OvWCUReThYlRXkA3DDnA+o1M6VIWtIVDJHk69YJBMDMcw5sun/5Q5oKVyQdKYEQ\nSb5un0CMG9qn6f5/Fq4NMBIRSZSW8hZJvm6fQADMOnfXkM7qOq00LJJOGhsdN89dFnQYIt2OEgjg\nhH0HNd2/9vElAUYiIvGa+/56PlhX0WJ/eL0WkY6nBAJvga39hhQAcP8bn7Kztj7giESkrdZXVEfd\nf3tYy6KIdLyEEggzu8TMysys2szmm9mhbTzvbDNzZvZYIs/bmf7x7cOa7t/xkoZ0iqSz/5s8muxM\n/T4S6Uxx1zAzmwrcAlwLHAQsBOaa2cDdnDcc+A3wctxRJkHfXjkcPrIfAL+btxznNLGUSLrSqAyR\nzpdIin45cIdzbrZzbglwEbATOD/WCWaWCdwLXAN8nEigyXDDGfs33f/xwxrSKZIOouX6mcogRDpd\nXAmEmeUAE4B5oX3OuUZ/+/BWTv0FsNE599c2Pk+umRWEbkB+PHEmatSA3k33n1+6Ua0QImkqM0MJ\nhEhni7cFoj+QCWyI2L8BKI52gpkdBXwbuDCO55kGlIfdVscZZ8Je+r/jANi6s44R055M1tOKSAcK\nLZQnIp2nU2uZmeUD9wAXOuc2x3HqDKAw7Da0E8KLqqRfXrPtqlrNCyGSbk4eOzjoEES6vHgTiM1A\nAxA5wHoQsD5K+VHAcOBxM6s3s3rgG8Cp/vaoaE/inKtxzlWEbkBlnHG2y70X7BqRMWfxumQ+tYjE\nKdqFxv69c5Meh0h3E1cC4ZyrBd4Gjg/tM7MMf/u1KKcsBcYC48Nu/wGe9++vSijqTnZkaf+m+1c8\nvFBLfYuIiERI5BLGLcCFZvZNMxsDzAJ6AbMBzOxuM5sB4Jyrds69F34DtgGV/nZtB72ODvfmzz7f\ndP/E370YYCQi0hp1dhYJRla8JzjnHjSzAcB1eB0nFwAnOedCHStLgLRfF3tA/q4m0BWbdrB4dTlj\nhxYGGJGIiEjqSKgTpXNupnNuT+dcrnPuMOfc/LBjk5xz57Vy7nnOudMTed5kW3jNiU33vzjzf2zZ\nkbINJiLdVm1D2v9eEUlLGuvUisKe2XxtYknT9hf/+L8AoxGRaG5/fkXQIYh0S0ogduP603bNTrlm\nWxVvf7I1wGhEJNL2Gi1+JxIEJRC7YWbNVvX77j1vBxiNiIhIalAC0Qbhk9Js3l5DeVVdgNGIiIgE\nTwlEG7119a5hnQdc+0yAkYiIiARPCUQbRc5sd9vzHwUUiYiISPCUQMRh5YyTm+7/eu4yaus1fExE\nRLonJRBxMDPm/OCopu1Db5zXSmkRSYYxgwuCDkGkW1ICEaf9hhQy85wDAdi2s46Tfv9SwBGJdG9j\nivObbV9yXNQ1+kSkgymBSMAp44Y03V+6vpKbn14aYDQiyWFml5hZmZlVm9l8Mzt0N+X7mNltZrbO\nzGrMbLmZndzaOQnG1Xwbi1FSRDqSEogEhY/KuP2FFVTXNQQYjUjnMrOpeAvpXQscBCwE5prZwBjl\nc4BngeHAWcBo4EJgTUfHlhGRL7ioC3yLSEdTApGg/r1zOe+I4U3b+/z8aeo1J790XZcDdzjnZjvn\nlgAXATuB82OUPx8oAk53zr3inCtzzr3onFvY0YFlZarFQSQISiDaYfqp+zXbLv3ZUwFFItJ5/NaE\nCUBTr2HnXKO/fXiM004FXgNuM7MNZvaemV1lZpmdEF/zbV3CEEkKJRDtFD60E+A3c5cFFIlIp+kP\nZAIbIvZvAIpjnDMS79JFJnAycD3wY+DqaIXNLNfMCkI3ID9auWjyc7PaWlREOpASiHYyM9646vim\n7ZnPf0Rltaa6lm4vA9gIfMc597Zz7kHgl3iXPqKZBpSH3Va39YkGF/ZoZ6gikgglEB1gYEEPnv3R\nMU3bY6c/w8ebtgcYkUiH2gw0AIMi9g8C1sc4Zx2w3DkX3rv4A6DYvyQSaQZQGHYb2tbgGiP6TKoT\npUhyKIHoIHsNyufxS3dNMvW5377IxsrqACMS6RjOuVrgbaCpqc3MMvzt12Kc9gpQ6pcL2RtY5z9e\n5HPUOOcqQjegss3xtbWgiHQoJRAdaOzQQi44akTT9qG/fI5NlTUBRiTSYW4BLjSzb5rZGGAW0AuY\nDWBmd5vZjLDys/BGYdxqZnub2RTgKuC2jg7MueYphDpRiiSHEogOdvUp+1LYM7tp+5BfzqNCfSIk\nzfl9GK4ArgMWAOOBk5xzoY6VJcDgsPKrgMnAIcAi4A/ArcBNSQxbRDqRui93goXXnMh98z/lqn8t\nBmDc9GeYvN8g/vS1CS2GnImkC+fcTGBmjGOToux7DZjYyWHhdA1DJBBqgegk5xxWwt3n75rpd+77\nGxgx7Um1Roh0sMhOk6eNHxKjpIh0JCUQneiYvQfw0Hebz7Nz9K+eDygaka4pvAWipCiPvQa1eQoJ\nEWkHJRCd7NARRfzqS2Obtsur6jhr1qsBRiTStYS3PwzpozkhRJJFCUQSTD2khH9etKsl4q1PtjL8\nyjnU1mvtDJH2Cm+BUH8IkeRRApEkBw8vYn7YjJUAe1/9FM8uiZwdWETioYmjRIKhBCKJBhX04OMb\nm6+dceFNFLfdAAAQqElEQVTdb3H+XW8GFJFI+mtoUAIhEgQlEEmWkWGU3TSFcUMLm/b9d+lGXdIQ\nSdBvn13edP+Nsi0BRiLSvSiBCMh/Lj2KeZcf22zf3lc/xfAr51DfoERCJBHqAyGSPEogAlQ6sDcr\nIi5pAJT+7Ckuufcd7n/j0wCiEhER2T0lEAHL9C9pzDr3oGb75yxex7RHF1Nd1xDjTBERkeAogUgR\nXxg7mLKbpnBUaf9m+/f5+dMMv3IODZFrFouIiARICUSK+ccFh/HyT45rsX/UVU/yi3+/F0BEIiIi\nLSmBSEHDivIou2kKT3z/qGb7737tE4ZfOYfhV85hfXl1QNGJiIgkmECY2SVmVmZm1WY238wObaXs\nhWb2splt9W/zWisvu+y/RyFlN03h0uNKWxybOOM5hl85h4WrtgUQmUhqOrK0X9AhiHQbcScQZjYV\nuAW4FjgIWAjMNbOBMU6ZBNwPHAccDqwCnjGzPRIJuDu6YvLomInEabe9wvAr53DP65+wZG0FTyxa\nq/4S0q2cMm5w0/27vqXfJiLJYi7OgdNmNh940zl3qb+dgZcU/NE5d1Mbzs8EtgKXOufubuNzFgDl\n5eXlFBQUxBVvV/TEorVcet+7MY///JR9+fZRI5IYkaSLiooKCgsLAQqdcxVBxxNLPHX+8ocW8Og7\na5j2hX347rGjkhOgSBrprHqfFU9hM8sBJgAzQvucc41mNg+vdaEt8oBsIOaUcWaWC+SG7dL6vGFO\nGTeEU8YNYUNFNYfd+FyL49c/sYTrn1gCwJkH7cFVJ4+hf+/cFuVEugT/N5BZsGGIdDfxXsLoD2QC\nkStAbQCK2/gYvwLWAvNaKTMNKA+7rY4vzO5hUEEPym6awsc3nsyZB0a/IvToO2s4+IZ5XPWvxaza\nslOXN6TLCX2iDWUQIskUVwtEe5nZlcDZwCTnXGvDCGbg9bMIyUdJREwZGcYtU8dzy9TxrNqyk6Nv\nfr5Fmfvmf8p983fNbFk6sDdzfnAUuVmZyQxVpMM0NDpWbdnJys07ALVAiCRbvAnEZqABGBSxfxCw\nvrUTzewK4Erg8865Ra2Vdc7VADVh58YZZvcVGgIK8OqKzZxzx/yo5T7auJ3RVz/dtL3shpPIyczQ\ney1po7yqjkm/eSHoMES6rbgSCOdcrZm9DRwPPAZNnSiPB2bGOs/MfgL8DJjsnHsr8XAlHkeM6t+U\nTJRt3sE/Xv+EO/+3MmrZ8GQC4JGLj6CoVw4j+vfq9DhFOoKSX5HkSuQSxi3A383sLeAN4IdAL2A2\ngJndDaxxzk3zt38KXAecA5SZWaivxHbn3PZ2xi9tNLx/L64+ZV+uPmVf6hoaOW3mKyxZF7sz7pdm\nvdpi3yMXH8GEPft2ZpgiCctQ/iCSVHEnEM65B81sAF5SUAwsAE5yzoU6VpYA4etRXwzkAP+MeKhr\ngenxPr+0X3ZmBk9ednTT9qotO7nuiSU8uySyb2xzkUnFYSOKOGHfQZx/5Agy9O0tAdMnUCS5EupE\n6ZybSYxLFs65SRHbwxN5DkmeYUV53PGNg5u2d9bWc/0TS7j/jVWtnjd/5Rbmr9zCDXM+aLZ/5jkH\n8vkxXjeZHtnqpCnJoUsYIsmV1FEYkh7ycrKYceY4Zpw5rmnfvxes4bIHFrTp/NYmuXri+0cxujif\n7EwtwyLtE5kuKH8QSS4lENImp43fg9PG75prwjnHC8s3cdOTS1m2obLNj3PKH//XbHvUgF6M3aOQ\ngp7ZHFTSl9KBvRnatycrNm1nwp5FHRa/dH3KH0SSSwmEJMTMOG70QI4b3XwJlOq6Bl7/+DMeX7iO\nR97Z/dQdKzbtYMUmbxz/3a99ErXM+UeO4JQDBvPemnLMjKkHD+ONlVs4bGSRWjKkSUHP7KBDEOlW\n4l4LIwhaCyP9NTQ61mytYs7idXy4oZJH313TIY87flgf+vXK4bmlG/n6xD05YFgfDhhaSL/eueTl\nZJKVYWQpyWjSldbC2LqjlgOvf7Zpe+n1J6nPjUgUKbEWhkiiMjOMkn55XDzJW+zolqnjmx1fX17N\nH/77YbPZMttiQdhy5ve8/gn3vB69FSPc5P0GMff9DfTJy+aaL+7LifsWk5eTyY7aBrbuqGVYUR5v\nrNxCcUEPSvrlxRWPBGPPfnlKHkSSTAmEpITiwh7ceMZYbjxjbNTjm7fX8N6acrbtrKO2vpGfPOJN\nZjpxZBGvfxxzXbao5r7vDVfdtrOOHz24EG9F+uh6ZGdQXeeNSp4ydjCf7ajhoJK+fLa9luLCHhxZ\n2p+yzTso6pXDkaX96ZmTycX/eJsNFdU89N3D1frRicI7TWZpGLFI0imBkLTQv3cuk8L6W3zlkGEt\nyjjn2Ly9liXrKnh1xWb+/OLH7X7eUPIAMGfxOoBmCcutz30Y89zSnz3VYl+vnEyuPW1/hvTpwfNL\nN7Jsw3a+dcRwjijtR019I3X1jfTKzdKv6TipL4xI8imBkC7DzBiQn8ux+QM4du8BTPvCmJhl6xsa\n2VHbQNnmHayvqOb1jz9jzdYqntnNZFrttaO2gSsebt7i8dLyTbs9Lz83i3MmlvCXlz4m1G1pn+J8\nMjOM99fuuqS5csbJ3XI+hEy1QIgknRII6ZayMjMo7JnhdboEJu/X1tXovZaONduq+HTLTuobHP/7\naDOrtuzkqfdaXU+uXSpr6lu0qCxd33L47Em/f5m5Pzqm0+JIVbpUJJJ8SiBE4mRmDO2bx9C+XgfL\nY/YeENf5DY2Oiqo6ttfU8+qKzXy0cTujBvTm0XfX8MbKLeRmZVBT39jivGFFPVm1parVx/7axJK4\nYkln+T2y2ac4n6XrKzl8ZL+gwxHpdjSMU6SLcM7t9vJFVxrGCV4ytr26nsI8zQEhEktn1Xu1+4l0\nEZ3d98HMLjGzMjOrNrP5ZnZoG88728ycmT3W0TFlZpiSB5GAKIEQkd0ys6nALXir6B6EN/Z1rpkN\n3M15w4HfAC93cogikmRKIESkLS4H7nDOzXbOLQEuAnYC58c6wcwygXuBa4D2j6kVkZSSVp0oKypS\n9pKtSFpIpA6ZWQ4wAZgR2uecazSzecDhrZz6C2Cjc+6vZnZ03E+M6rxIR+isepQuCUQ+wLBhLScP\nEpGE5ANt/VbpD2QCkZNkbAD2iXaCmR0FfBsYH+14lPK5QG7YrsGgOi/SweKp97uVLgnEWmAo0Nq6\n0fnA6jaUS1WKP1jdKf58vDrVKcwsH7gHuNA5t7mNp03Du9QRLtTnojXd6e+WihR/sAKt92mRQDhv\nrGmryzeG9UCvTOXhabEo/mB1s/jjfX2bgQZgUMT+QUC02bNGAcOBx8PiyvDjrAdGO+dWRJwzAy9h\nCFfjnKtpLbBu9ndLOYo/WJ1c73crLRIIEQmOc67WzN4GjgceAzCzDH97ZpRTlgKRq6LdgPcL6DJg\nVZTnqAFaTRZEJLUogRCRtrgF+LuZvQW8AfwQ6AXMBjCzu4E1zrlpzrlq4L3wk81sG4Bzrtl+EUlf\nXSmBqMG7Xpquv2IUf7AUfyuccw+a2QDgOqAYWACc5JwLdawsAVrOv9359HcLluIPVqDxp8VU1iIi\nIpJaNJGUiIiIxE0JhIiIiMRNCYSIiIjETQmEiIiIxK3LJBCJLjXcwTFM95ctDr8tDTvew8xuM7PP\nzGy7mT1iZoMiHqPEzOaY2U4z22hmvzazrIgyk8zsHTOrMbOPzOy8BOM9xsweN7O1fqynRxw3M7vO\nzNaZWZWZzTOzvSLKFJnZvWZWYWbbzOyvZtY7osw4M3vZ/9usMrOfRInly2a21C+z2MxO7oD474ry\n93g6heKfZmZvmlml/7d+zMxGR5RJ2mcmFepQPFIlXtV71fu2xt/l6rxzLu1vwFS8YSzfAvYF/gJs\nBQYmOY7peOPfi8Nu/cOOzwI+BT6HtzjRa8ArYcczgcXAs3hrCHwB2ATcGFZmBLAD+C0wBrgUqAcm\nJxDvF/Am+DkDcMDpEcd/CmwDTgPGAf/GW1WxR1iZp/CG9B0GHAV8CNwXdrwAb7bCfwD7AWfjreL4\nnbAyR/iv4f/813Q9UAvs38747/LjC/979I0oE2T8TwPn+Y97ADAH+ATolezPDClSh9Ktzqveq97H\nEz9drM4H/kXQQRV4PjAzbDsDb+rrK5Mcx3RgQYxjhf6H66ywffv4FWBiWMVoAAaFlbkIKAdy/O1f\nAe9FPPYDwNPtjL1ZRQQMWAdcEfEaqoGz/e0x/nkHh5U5CW8+gCH+9sXAllD8/r6bgKVh2w8CT0TE\n8zrwp0Tj9/fdBTzWyjkpE79/zgA/nmOS/ZlJlToUx3uVMvGq3qvetyP+tK7zaX8Jw3YtNTwvtM85\n1+hvt7bUcGfZy29a+9hvIivx908AsiPiXIqXaYbiPBxY7HZNzgMwFy8b3i+szDyam0vHv9YReJl7\neLzleB+68Hi3OefeCjtvHl5FPCyszEvOudqIeEebWd+wMp31mib5TXzLzGyWmfULO5Zq8Rf6/27x\n/03KZyYF61CrUjRe1XvV+0TiT+s6n/YJBK0vNVyc5Fjm4zVPnYSXwY4AXjZvdcJioNY5ty3inPA4\ni4n+OmhDmQIz69neFxAm9Hytva/FwMbwg865erzK0BGvqb1/v6eBb+Ct2fBT4FjgKTPLTLX4zVtb\n4vd4TZWh6Z6T9ZlJpTrUFqkWr+q96n3c8XeFOt+VprIOnHPuqbDNRWY2H+/61leAqmCi6r6ccw+E\nbS42s0XACmAS8FwgQcV2G7A/3vVYSSOq96kljep92tf5rtACEe9Sw0njZ5HLgVI/lhwz6xNRLDzO\n9UR/HbShTIVzriO/rELP19r7uh4YGH7Q7wlcRMe8pg79+znnPsb7vJSGPW/g8ZvZTOAU4Djn3Oqw\nQ8n6zKRsHYohpeNVvW8qo3ofQ1ep82mfQPjXqEJLDQPNlhp+Lai4/Dh6A6PwOiW9DdTRPM7ReIsQ\nheJ8DRhrZuEf7hPw1nFfElbmeJo7gY5/rSvxPkjh8RbgXSMMj7ePmU0IO+9zeJ+r+WFljjGz7Ih4\nlznntoaV6fTXZGZDgX54f4/Q8wYWv3lm4vUm/5xzbmVEkaR8ZlK5DkWT6vGq3jeVUb1vGUvXqvNt\n7W2Zyje84SjVwDfxetj+GW84yqAkx/EbvOttw/GG+DyLN7xmgH98Fl7T5nF4HVheBV4NOz80PGcu\n3hCfyXjX6qINz7kZr3fu90h8OFdvvGFA4/F6+f7Iv1/iH/+p/z6eCowFHiP6cK53gEOBI/F+eYUP\nhyrE+0K6G6+Dz1Q//sjhUHXAj/3XNJ22DeeKGb9/7NfARP/vcTxehVkO5KZI/LfjDZc7luZDznqG\nlUnKZ4YUqUPpVudV71Xv44mfLlbnA/8i6MBKfKn/ptfgZZGHBRDDA8BaP4bV/vaosOM98K57bfH/\nuI8CxRGPsSfwJN6Y4014X05ZEWUmAe/6z7MCOC/BeCf5FTDydpd/3PCWb17vf9DmAXtHPEYRcB9Q\niTeM6G9A74gy44CX/cdYDfw0SixfBpb5r+k94OT2xA/09CvYRr9Sl+GNcx6UQvFHi92F/z2T+Zkh\nBepQnJ/flIgX1XvV+zbGHyPutK3zWs5bRERE4pb2fSBEREQk+ZRAiIiISNyUQIiIiEjclECIiIhI\n3JRAiIiISNyUQIiIiEjclECIiIhI3JRAiIiISNyUQIiIiEjclECIiIhI3JRAiIiISNyUQIiIiEjc\n/h+eF3zel7RV9QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1207e2f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# subplotの書き方は個人的にこっちの方が好き。\n",
"# ただの解像度の設定。\n",
"plt.figure(dpi=100)\n",
"\n",
"plt.subplot(221)\n",
"plt.plot(history.history['loss'])\n",
"plt.title('Loss function')\n",
"\n",
"plt.subplot(222)\n",
"plt.plot(history.history['acc'])\n",
"plt.title('Accuracy')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# パラメーターの値の取り出し [MLE-10]"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[array([[ 0.36455086],\n",
" [ 0.33923531]], dtype=float32), array([-10.46599483], dtype=float32)]"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.get_weights()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# 本とは順序が逆になることに注意。\n",
"w1_val = model.get_weights()[0][0]\n",
"w2_val = model.get_weights()[0][1]\n",
"w0_val = model.get_weights()[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 結果のプロット(predict)[MLE-11]"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x121ec6ef0>"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAF3CAYAAACmIPAJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4EdE9EQKfkRET6TgR0T0RAp+RERP/Atew/cU6Oh3aQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121bb0b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train_set0 = train_set[train_set['t']==0]\n",
"train_set1 = train_set[train_set['t']==1]\n",
"\n",
"plt.figure(figsize=(6,6))\n",
"\n",
"plt.ylim([0,30])\n",
"plt.xlim([0,30])\n",
"plt.scatter(train_set1.x1, train_set1.x2, marker='x', label='pos')\n",
"plt.scatter(train_set0.x1, train_set0.x2, marker='o', label='neg')\n",
"plt.xlabel('x1')\n",
"plt.ylabel('x2')\n",
"plt.legend()\n",
"\n",
"linex = np.linspace(0,30,10)\n",
"liney = - (w1_val*linex/w2_val + w0_val/w2_val)\n",
"plt.plot(linex, liney)\n",
"\n",
"# ここはまどろっこしい処理だが、imshowしたいためだけなので深い追いしなくてもよい。\n",
"# ただ、\n",
"mesh = np.meshgrid(np.linspace(0,30,100), np.linspace(0,30,100))\n",
"mesh = np.concatenate([mesh[0].reshape([10000,1]), mesh[1].reshape([10000,1])], axis=1)\n",
"field = model.predict(mesh).reshape([100,100])\n",
"plt.imshow(field, origin='lower', extent=(0,30,0,30),\n",
" cmap='gray_r', alpha=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# データを用意[CAF-01-03]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n0, mu0, variance0 = 800, [10, 11], 20\n",
"data0 = multivariate_normal(mu0, np.eye(2)*variance0 ,n0)\n",
"df0 = DataFrame(data0, columns=['x','y'])\n",
"df0['t'] = 0\n",
"\n",
"n1, mu1, variance1 = 600, [18, 20], 22\n",
"data1 = multivariate_normal(mu1, np.eye(2)*variance1 ,n1)\n",
"df1 = DataFrame(data1, columns=['x','y'])\n",
"df1['t'] = 1\n",
"\n",
"df = pd.concat([df0, df1], ignore_index=True)\n",
"df = df.reindex(permutation(df.index)).reset_index(drop=True)\n",
"\n",
"num_data = int(len(df)*0.8)\n",
"train_set = df[:num_data]\n",
"test_set = df[num_data:]\n",
"\n",
"train_x = train_set[['x','y']].as_matrix()\n",
"train_t = train_set['t'].as_matrix().reshape([len(train_set), 1])\n",
"test_x = test_set[['x','y']].as_matrix()\n",
"test_t = test_set['t'].as_matrix().reshape([len(test_set), 1])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x115dd6ef0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAF3CAYAAABKeVdaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115d896a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train_set0 = train_set[train_set['t']==0]\n",
"train_set1 = train_set[train_set['t']==1]\n",
"\n",
"plt.figure(figsize=(6,6))\n",
"\n",
"plt.ylim([0,30])\n",
"plt.xlim([0,30])\n",
"plt.scatter(train_set1.x, train_set1.y, marker='x', label='pos')\n",
"plt.scatter(train_set0.x, train_set0.y, marker='o', label='neg')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# modelの設計[CAF-04-05]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"from keras.models import Sequential\n",
"from keras.layers import Dense, Activation"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"model = Sequential()\n",
"model.add(Dense(units=1, input_dim=2, kernel_initializer='zeros'))\n",
"model.add(Activation('sigmoid'))\n",
"model.compile(optimizer='adam', loss='binary_crossentropy', metrics=['accuracy'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# modelの学習[CAF-06]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# verbose : epochの進捗。今回は可視化しない。\n",
"# fitの戻り値にLoss funcが含まれるため回収。\n",
"# validation_dataにvalidation用のデータを投げる。\n",
"history = model.fit(train_x, train_t, verbose=0, epochs=200, validation_data=(test_x, test_t))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 学習の可視化[CAF-07]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11fc850b8>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFpCAYAAACmt+D8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4VGX2xz93Wia9kgQSUiAJHQKEXhREAbuAigpWdO26\nrq6u/nZ1dV3b2kVd+6pYUOzSrFTpNfSaEEhCes8kM3N/f7xTMkmAgASCnM/z5Jm5c9/73vfegfne\nc97znqPpuo4gCIIgCG0Hw8kegCAIgiAIvog4C4IgCEIbQ8RZEARBENoYIs6CIAiC0MYQcRYEQRCE\nNoaIsyAIgiC0MUScBUEQBKGNIeIsCIIgCG0MEWdBEARBaGOIOAuCIAhCG8N0sk4cFRWlJyUlnazT\nC4IgCMIJZfXq1YW6rrdrSduTJs5JSUmsWrXqZJ1eEARBEE4omqZltbStuLUFQRAEoY0h4iwIgiAI\nbQwRZ0EQBEFoY5y0OefmqK+vJycnh9ra2pM9lNMOq9VKfHw8ZrP5ZA9FEAThtKdNiXNOTg7BwcEk\nJSWhadrJHs5pg67rFBUVkZOTQ3Jy8skejiAIwmlPm3Jr19bWEhkZKcJ8gtE0jcjISPFYCIIgtBHa\nlDgDIswnCbnvgiAIbYc2J84nk6KiItLT00lPTyc2Npa4uDjPdl1dXYv6uO6669i2bdth20yfPp0Z\nM2YcjyEfFT///DPLli074ecVBEEQjo42Ned8somMjGTdunUAPPLIIwQFBXHvvff6tNF1HV3XMRia\nf6559913j3ie22677fcP9hj4+eefiYqKYvDgwSfl/IIgCELLEMu5BezcuZPu3btz1VVX0aNHD3Jz\nc7npppvIyMigR48ePProo562w4cPZ926ddjtdsLCwnjggQfo06cPQ4YM4eDBgwD83//9Hy+88IKn\n/QMPPMDAgQPp0qULS5cuBaCqqoqJEyfSvXt3Jk2aREZGhufBoSH33Xcf3bt3p3fv3tx///0A5Ofn\nM2HCBDIyMhg4cCDLli1j165dvPXWWzzzzDOkp6d7ziMIgiC0Pdqs5Zz0wPet0u/eJ887puO2bt3K\n+++/T0ZGBgBPPvkkERER2O12Ro0axaRJk+jevbvPMWVlZZxxxhk8+eST3HPPPbzzzjs88MADTfrW\ndZ0VK1bwzTff8OijjzJ37lxefvllYmNjmTVrFuvXr6dfv35NjsvPz2f27Nls2rQJTdMoLS0F4M47\n7+Svf/0rgwcPZu/evZx//vlkZmYybdo0oqKiuPvuu4/pHgiCIAgnBrGcW0jnzp09wgzw8ccf069f\nP/r168eWLVvYvHlzk2P8/f0ZP348AP3792fv3r3N9j1hwoQmbRYvXszkyZMB6NOnDz169GhyXERE\nBAaDgRtvvJEvv/ySwMBAAH788Uduvvlm0tPTufjiiykpKaGmpuaYr10QBOF049dtB7n3s/U4nfpJ\nOX+btZyP1cJtLdzCB7Bjxw5efPFFVqxYQVhYGFOmTGl2GZLFYvG8NxqN2O32Zvv28/M7YpvmMJvN\nrFq1ih9++IHPPvuM1157jfnz53ss8YbnF04fdhdUcrDCxuBOkSd7KMJR8MrPO/hizX4eubAHI9Na\nVLjosNgdTn7dVsCApAhCAyS5UEvRdZ03Fu7mqblbceowIjWKi9LjTvg4xHI+BsrLywkODiYkJITc\n3FzmzZt33M8xbNgwZs6cCcDGjRubtcwrKiooLy/n/PPP5/nnn2ft2rUAjBkzhunTp3vaueeqg4OD\nqaioOO5jFdoODqfO1LdXMPmNZazfV3pMfdjsDlbtLcbucP7u8ezIr6CkqmUrHU4EDqfOt+sP8JeZ\n67ng5cU8/8N2qmwtfyA+GvYVVzM3M4+5mXmsziqm/jD3c09hFc//uIPdhVVc++4K3ly4+3dZbE6n\nzn2fb2Da+6uY/OYyausdR3X81rxyckqqj/n8x4t6h5OF2wuYm5nHj5vzKaupb9Xz7S2s4k8frOaJ\nOUqY7x6TygW9O7TqOQ9FiyxnTdPGAS8CRuAtXdefbLQ/EXgHaAcUA1N0Xc85zmNtM/Tr14/u3bvT\ntWtXEhMTGTZs2HE/xx133MHVV19N9+7dPX+hoaE+bcrKypgwYQI2mw2n08lzzz0HqKVat9xyC+++\n+65nTnz69OlcdNFFXHrppXzxxRdMnz6doUOHHvdxC61HSVUdJqNGsNXXCqqorcfu0AkPtLB0VyH7\nS9UUxhsLdzP9KhWrUGWz8/biPWw+UM60EclkJEUc8jyv/rKLF3/awdDOkbx8RV+W7Cpi9oZcbh+d\nQs+40GaPyS+vJSrID6PBu15+6c5Cpry9nLAAC69e1e+YLfnS6jr+u3A3+eW1PHhuN6KC/Jq0qbM7\nKaqy0T7UH1DitL+0hvhwf581/H//OpOPlmd7tjfuL2PG8mzuGpPK5AEdMRuVvbK3sIqn5m6lsNKG\npmkMT4nihuHJBPqpn8ziqjqemL2FvUVVPuPo3j6EW0elsGhHIQ9+sZG6BoIc5GdiVNdo7jorhZTo\nYEqq6qh3OokOtvLcD9txOHU6twtkV0EVj8/ewtfr93Pn6FSiQ6z4mQykxQRjNGjY7A5W7y1h4Y5C\ndhVUcl6v9lzYpwMG173XdZ3Hvt/Ml2v3A7Alt5wnZm/h4Qt6sKugkqo6JdTJUYGE+nv/Lem6zrb8\nCp6bv535m/PxNxv5z6V9SE8I45WfdwI6t41KIT48gIMVtSzeUcjinYUE+Zn485g0wgMtVNns/Lqt\ngMU7C6i0Obh2aBL9E8ObfF9zM/P4et1+bhul/k0t2lHAxyuyufVMta3rOvM25fP03K3sLvTe47AA\nMzef0RmHU2d1VgntQ62MSI3ijLRo/C3GZv/97Cuupsj1gJgUGUBYgPIoltXUo+u6Z3v6Lzt5/oft\n2J06ARYjz13Wh3E92zfb54lA0/XDP51pmmYEtgNnAznASuAKXdc3N2jzGfCdruv/0zRtNHCdrutT\nD9dvRkaG3rie85YtW+jWrdsxXcgfDbvdjt1ux2q1smPHDs455xx27NiBydR6MxFy/9suewuruPCV\nxUQG+THv7pFYTAYqbXbeWLibtxbtxs9kYM5dI3lyzha+WncAAIMGv9x7Juv2lfLYd1sorLR5+hvb\nI4anJ/Xx+XF2c/7Li8jcXw6AxWSgzq4EpnO7QObcNZKS6jreXLib8b1i6Z8YwYfLsvj715l0bx/C\nG1dnEBfmj83uYPwLizw/rCaDxr1ju3DdsCT8TE1/ROvsTkwGDYNBQ9d1ZizPZtnuInQdFu0ooLxW\nWbdxYf68ODmdjhEBnmOX7Czk2fnb2V9aw78u7snkAR257aM1zNuUz+BOETwwvhvpHcP4bsMBbv9o\nLRaTgb+cnUZSVCCv/bqLdS4PQ6eoQC4f0JGYECsPf7OpiZUWFeTHlYMS6N4+hMdnb2ZfcfNxHBaj\nwSPKQzpFEmQ1saewip0HKz3fS2p0MNsPKi/WOd1jmLcpH4vRwK/3ncmGnDIe/iaT/HKbT78hVhNp\nMcFkHiijtt7XCu/RIYQHxndlUHIkj3y7iY+WZ2M2atw/ritPzd1KvUMnItBCcQMvhkGD3vFhxIf7\n49R1NuSUkVNS4/m+7C7LveH1WIwGEiMD2OG6FjcJEQFcPqAjby/e43MOgGEpkYQHWAiwGBmYHMne\nwipe+WUnAFazgUv6xvHpyn04dQgPMPPBDYN4c9Fuvnb9O06MDKBLTDD55bWszylr9p63C/bj7jGp\nhPmrB9Symnqcus7G/WU+35O/2ciNI5Jx6DpvL95DgMXE17cNI6+8lktf/w1Ng0n94rnnnDTPg97x\nRNO01bquZxy5ZcvEeQjwiK7rY13bfwPQdf2JBm02AeN0Xd+nqcfUMl3XQw7Xr4jz4SktLeWss87C\nbrej6zr/+c9/OOecc1r1nHL/Txz1Dif/W7qX4alRdI097H8VbHYHE19b6hHMZy/tw7m92nPey4vY\nXeC1KkZ3jWbprkJq650MS4lkyc4ikiID2Fuk3JN9OoYxKDmCD37LoqbewYCkcN6/fpCPxVFaXUff\nx37AbDDQJTaYjfvLiA72w2w0sL+0hj+N7MQv2w6yPb8Sk0Hj0oyOfLIyG/fPSFSQhfvGdmF3YRX/\nXbCbzu0COatbDG8s3A1AfLg/943twgV+a7FbQvm0IIF5mXms2FtMkJ+JO0ansDqrhO825Prcg2Ep\nkVTZHB4hPRSaBgOSIlixp9jn8+SoQAoqbFTa7Dx2UQ+mDkkClLU4NzOPp+dtY0+hrxU8plsMN45I\npqymnum/7moyTdA7PpT7x3X1WNt1dicfLsti7qY8TAaNRy/qyZWDEjzt9xVX89qCXXy6ch8Op47F\naEBHp96hbt71w5L5xwVqxUdNnYN3luzhxy35OJ06xdV1PiLTrX0II1KjiA2x8sbC3eSVq5iXdsF+\nFFTYsJgMvDQ5nXE92/P24j089p2ypWJDrMSE+FHv0NmeX+ERYDfhAWbO692eO0en8s36A/x79hac\nOlzYpwOahkcwrWYDgztFMjFiL3u2b+S5okGA5rkvY3vEUmWzs2DJIgY4N/CR4yzq8D4IxmuF3Nxu\nA08dHEwF6kHL7TVwE2Ax8tA5iUzWfsTYaxJ6cCy/bitgxvIs2gX7MSg5kmzX1MHm3DImG38h05lE\npt7J55rCAswkRARQZ3eyNa/ptF7fhDCqbQ7CC5ZzbXcD4666R/1D2vIt7PgBznsOjMfHKDre4jwJ\nJbzTXNtTgUG6rt/eoM1HwHJd11/UNG0CMAuI0nW9qFFfNwE3ASQkJPTPysryOZeIw8lF7v/xY+nO\nQu76dB2PXdSDcT3bk7m/jOvfW8nto1O4ekgSbyzcxb9nbyXEamLmzUMOKdAHy2t57oftfLJyH34m\nAza7ky4xwYzqGs3rC3bRKSqQe8d24d7P1lPtclcOTIrg8Ut6cvbzCwFlBT18QXemDE5E0zT2FVdz\n2X9/I7eslvSOYTh1nQOltbx33QD2FVdzy4w1DOkUybvXDWDFnmIGJEWwNruEK99a7hlXZKDF4yoE\nuH1UCuv2lbJ4Z6HP+D+6cRBDO0fxy9aDPDFnC9vzK4mgnJXWW6nFj361r2GjaeBikJ+J+8Z2ITzQ\nQlyYP/0SwrDZnTz+/Rbmb86j4c9WeICFG0d2Iq+shv/M3w4oC+m1Kf1YtruYGcuzqHBZ3mN7xPD6\nlP5N0tXWO5zM25THgm0FbM4tZ2yPWG4fleLjKl6wvYBfth5kdXYJ/RLCefDcbljNTb0Amw+UYzFp\npEQHN/ud7iuuZl9JNX07hlNYaeP5H7ZzoKyGV6/qT0TgoYM4s4uq2VlQQa+4MNoFe137tfUO3l2y\nl1d/3UlFrZ2YED/emJpBn45hnrEv211Mu2A/OrcL9Fx7lc3Oyr3FHq9EUmQAPTuEeq4Z1NyzQdNI\ni1HXsvNgJcVVdfTpGIqfvRKe6wF1FfzSbgovcCW3ndmZs7vHeM5R99Z4LDlLOdDhHOZ1e4LFu0oo\nrq7jv9ZXiM6eTX5YX27mIW48qyejukQz9e3lrMoqoWOEP29enUHXzOdg8fPQcxJMervZ+6LrOmvm\nvEv/FX+myBDFzGHfERelpl8SIwLoGRfqmW5ZtbeY537YjtGgccPwZP72xUZyy2oxY2eN9RaCqYIz\n7oek4fDhRHDUwcS3odekQ34vR8PJEOcOwCtAMrAQmAj01HX9kI+5Yjm3PeT+t5zPV+fw3tI9vHB5\nX1Kig/htVxGPz97MP87vQf/EcMa9sJAdBytJiwli3t0juf3jtXy/IReLycAXtwxlytvLKa1WbtPo\nYD8+v3koCZHKgli/r5Rv1x9g0Y5CtuWrJ32TQePjmwZz+0drPO5OTYMvbhlK34Rw/rtgF0/M2QrA\nkxN6MXlgAo98s4mFOwp44pJeDGo037vzYAWTXv/NMwaAs7pG0z7MyofLsrn3nDRuH53qc8xdn6zl\n63UHiAvz5/NbhvDbriL+PXsrVwzsyD1np+Fw6ny6ah8/bznIqqwSLukbxyMXepcAOpw6s1bnMH/e\nt7xl/xsAD/n/g4xzLmdkajtWZ5Xw3A/bceo606/sR2pM8+J2KHRd5/kftjNzVQ5PTuzFmV2iARW1\nvD6njB35FVyY3oEASysvUineDZoBwpNa1r66GMpyoH1vtV1TCoU7ID5DfcktpKSqjh+25DOqS7SP\neB8VBdvALwRCXHOtxbvBYIKwhKZtF78APz7s3R7+Z2ifDqEdIb4/2G3wREdwuNzz/a6BC15Ugvd0\nJ6hzucZTx8LkGWA0U2mz8+PmfM7s0o4wQy083xNsZWpM9+0CUzMPL7oOb5wJua4kTRe/BulXtuhy\nV+wpZvIbvzFE28gMyxPeHUY/Ne4BN8K5zxzV93A4Trhbu1H7IGCrruvxh+tXxLntcTrc//8u2EVR\nVR0PjOuKwaBRZbNTU+9oNsgIlEu5qLKODmHe+afvNhzgjo/XouswoV8cz12WzoRXl7Amu5SoID9u\nHJHsEUqAV6/qx50fr/W4EIP8TFTa7GQkhmM2GvhtdxEDksL57OahbMwp4+JXl+BwtfU3GxncKYKr\nhyYxqku0jwhfOSiBf1/SC1CW32X//Y3c0lrm3zOSEOuRl85szStn9sY8usUGc/en67DZnYQHmCmp\nrueLW4fSL8E3kKeitp6Zq3IY1zOWONf90HX9qIum1K35BMs3fwLA2e9aDBe+6LP/WPo8nsf/LqoK\n4cV05Qa9az1Ymw+g86Dr8NYYOLAGblqgBHrmNbD5KzjjARj1txMzboCiXfDqYAiOhdtXQ20pvNQX\nLIFwd6avMNpt8EJvqMxTorvmfw060uCWJVBXBW+fDYHtwFYB9lqY9C5YQ5RVGpYAtkqoKYazH4Nh\nd/qOZ+nLMP//vNtTv4LOo5qOe89C+N8F6rzo0K4b3PpbiwX1x835JK38Jyl7ZqiHC7fI95wEE96E\nQ6RqPhaORpxb8gi5EkjVNC0Z2A9MBnweSzRNiwKKdV13An9DRW4Lwgnn9QW7iA/35/xmlj/U2Z2e\ntYsp0UGM6xnLxa8soaDCxqL7R3miNhtyx0dr+WnrQWZMG8TgTpEs3VnInz9d53Grfrchl0n941mT\nrZxEhZU2j3h2jQ1ma14F9362HrtTZ1ByBFtyyz1uxPvHd6VLbDAjnvqFlXtLWLW3mHeX7sXh1BnT\nLYYbhifTLzHMJ4DqikEJvLloD0YD/HVsF8/nZqOBmX8a4nnfErrGhnjc6Ut3FfHBsixKqusJ9jPR\nu5mo7GCrmRuG+9b7PhYRtFR4o6UN2+eC0+nzA3hUfeq6+tE3ex+eWk2Y62vAZD38j/6KN6HONa+5\n6l0Y3kw2PqdTWWVmf9j9K+x3GSmbv4LIzrB9rtpe8CQERMCgP7V8jDUlShQNZgiOaflxoMTQUQel\n2ZA5C4p2KOu2rhKylihhdNRDZT5s+U4Jc0xPZQ13Hg2bvoCDW6FwG2z+BvyCVL9dxkNsb5h9Lyx5\nAeJc2tT7cvX+48th2avqOk2uh2R7Hfz2qnrfoZ96eNk2W42hvhbMVu+4l7ykXkfeC2tnQMEWNVec\n5orRsdugqqD5aw6KYUy3aJinpoA49z9Qlq08CCPuPa7CfLQc8cy6rtuB24F5wBZgpq7rmzRNe1TT\ntAtdzc4Etmmath2IAR5vpfEKwiHJLqrmyTlbueuTdWzNK2+yP6ekGnf8yxOzt3DPp+vZXVhFhc3O\n6qySJu2X7y5i/uZ8HE6dJ+dspcpm5y+frafeoXP9sGRGprWjzu7kjo/U+vLzerX3zBmmRgfx5tUZ\naBqeueBbR6Vw//iuAIzpFs2ApAhCrGamDk4E4LHvtzBnYy5mo8a/Lu7JkM6RTSKbQ6xmfvjzSObd\nPbLJw4TZaGixMDdm2ohk3FONgzpFYjrGflpESYNYk8o8yF177H3NuR+eSoZtc3//uA7HnkXwTCp8\nefOh29RVw4o3vNvLXlPC0BBdhw8vgee6wYG1sKSB12DbHNj1i3rY8HctdZvzV9jwWcvGuPy/8EwK\nPN8Dnk2DBU+37DiAyoOw7iPv9uLnYOVbvmNz2OG/Z6j+56o8/gy9Uz2s9LgYLnsfzvmXq/1syHZV\nwOs4GPpOURZ07npY+6H6vMu5kDYWortDRS5sbHCdS1+CigPKCh7/tHcMmbPgqUSYdSM4HbDjR9j5\nA5gDYPCtMORW1fanR5VVfnCLsvCf79H838v9YOv3ULYPAqMhrj/0nAijHmzehX4CadH/QF3XZ+u6\nnqbremdd1x93ffYPXde/cb3/XNf1VFebabqu2w7fY9vkeJSMBHjnnXfIy8v73eNZs2YNc+e28o/O\nHwj3+l6HU+f/vsxsksQhq9ibVKGkup4ft+R7thtHAeu6zn/mb/PZP/Xt5eSW1dIrLpSHzuvGFFck\nrjsw6q4xqbxyRV+6tw/hsYt70jEigNGuec+EiABGpERx5cAEZt0yhBcm9/X0fc3QJCwmA+v3leLU\n4aL0OGJDG1gGjQgPtDRr5f8eEiMDGd9LzTOe2eX3Z6c6LCV71WtUmnrdOvvY+rHXwfqPwV4Dn10D\nWa1UzOXAOvj4CmURb/pCuWibY90M5aKN6w8xvdSDx4aZvm2ylipruaYE3r8Idv8C5kCwBMPBzUrQ\nAYbcBmP+qd5/dbOyBA/H+k+VkDvtEOzyGi19GWqbPqQ2y/L/Kms+9Rx1fOF2qC2DYNfc87bZyrI/\nuEl5D0LiVNueE3z7SR6pridvg7pOgITByksw0OUBcNhUv+3TlbAPu8s7XqdTWb8/P6Y+O+vv6n4G\nxSoBnTVNPbxsnAkzr4aZrhW7w+5SXob+10JYIuRvhI8nwweXqO/BP0KNueGfNUx5Cdx9dBl3Ui3l\nxrSdkbQB3CUj161bx80338yf//xnz/bRpMIUcT455Jd7U6iuyirh89W+eXCyXUuKBneKwGxUZuJ5\nLkFyi/Nrv+7i3BcXcftHa1m5t4TwADN/OVuJyJrsUjQNHr+kJ0aDxuiu0bR3iejApAjSYoIZmhLF\n7LtGeBJu3D46hehgP/5yThoGg4amafRPjCDIzzuj1C7Yj4n9vCEaN430XQpy3Fn3MbwzXs2PNuDJ\nCb146Yq+TB7QsfnjDm6FN0bB7gVHdz5bJXw4CRY8o7ZLXZbzIJcVuvkr5aqsr4XPr4dPpyir6Ehk\nLQFbuQq+stcqsXu2K0wfBIU7fdvuWQSvD4cc3zgX8jfD6yOUVdYcFflqfrSuQp3HUQc7f/Lut9vg\ngwnqvPMeUp8NuxuG3qHez75X7fv4CiV2bkvZP1xtA/S/BlLPdl3TYvXa9TzlEh96hxLcT6dCtita\nftOX8FI/1a/77yvXvTzncfjLFkgcru7N6vcgL1MFTDVs3/jPPa4R98LgW7zXd+5/IChGCaP7+sY9\nAfdshqs+A2Oj2AazFVJGq/d1lRAQBRGuf88DblAWLihXt1sIe06EkHgo2ArPdoFvXLHG455S98Fg\nUMIJoDuh+8XqAWHrd1BfDelXqQhrAL9gmPqlstL3LlIWeeJwNd7Gf3dvVA8IumvNeJe2lTJaxLmF\n/O9//2PgwIGkp6dz66234nQ6sdvtTJ06lV69etGzZ09eeuklPv30U9atW8fll1/erMX9/PPPe0o8\nTpkyBYDKykquvfZaBg4cSN++ffn222+pqanh0UcfZcaMGaSnp/P555+fjMs+pXCv9UxyRT0/MWeL\nT+rILJc4n9klmjevzuC5y/p41pWuyy6lymbnpZ92sDm3nO83qnW2t41K4aYzOnkCoKYMSqR3vFqi\nYjIauPXMzhg0uGVU52bH1DchnBUPjTlibt6bz+hEiNXEJX3jPMtWWgVdh1/+DdlLlSg2INhq5sI+\nHQ7t0l72qpr7W33kmuU+rHlfuR4XP69cv2U5Suj6TFYWTNFO+GKa+sucpdaXbm1BVTq3oA69Q81f\nOurUj3HBVljYwKWr6zDvb5C3EX74h28fPz+mrLy5DzT/QLBsOlQXQtII5epseF5QrthdP6nzOmxq\nbrXrecqibNdVPTRU5CrL873zYMc8MPnDnxZC4jBlvQ2+VR3jJjxJHQsqUCp9ivIOfHSpmoedNQ2K\nd6l+3X+6DiP/CkNdwua2Rn97BT6coFzoDds3/nPWQ+ezIGGQsj5DEyB+oMv17BLGyjwlen2uOPz3\n0lDkEgZ75+gDItSDi8GkrsmN0Qxn3KfeV6myupz5IAxuMIWQfhVoRhV8NulduPQ9ZaH3uAQueMk3\nDiCyM0z5Qo01fgBc8ZFPTIIHawhMmaXc6mEJ0OmMw1/XCabNFr7gkSNEOR5zv81nmDkcmZmZfPnl\nlyxduhSTycRNN93EJ598QufOnSksLGTjxo2AShwSFhbGyy+/zCuvvEJ6enqTvp5++mmysrKwWCye\nEo+PPvoo48aN47333qOkpIRBgwaxYcMG/vGPf5CZmemp/SwcnrwyJc5XDUrkl20HWbqriCfnbOWp\nSWqJSrbLrZ0QEeBZZgPQPtRKblktby/eQ029g66xwYzrGYvN7mTqkET8TEZeuiKduZl53DUmzeec\nU4ckcfmABCym3/ecmxgZyOq/n42xtaOM8zepgBdQltiAaS07zun0BirlZbb8fI56+M2V572+ytWH\nDiEdVRTwlTPh3XOVIAOeiNslL0C3C7w/upmzlJV7xl9V0JCuK8ED6HahWnZ0zuNQvh/eHA0bP4fR\nf4ewjsp1nKf+j5K1RFnP8Rkq6MfdR8le2PKN+rF3U1umgroAzv6nWs7z87+UwDrs6gHDHYx03rNK\nyAKjwWAEjHDzYhWIVF0EMy7zjqHvFCUG13ynRNHkpyw+g0lZyV3O8163pqmAq5oS2Pa9esgANdfb\n0MI1WZX4uUk9W4nOQVcix+SRcNGrrrEdgqBY9WoNgTvXqnMbDOrBwR2NPehPzQtdQ9LGqnujO6Hj\nQN99Z/wVRtzT1OLuf636Hu21Ta8FVD8PHvAGgnUZD/fv8QaQNaZ9b/jzZnWew/2fCoyCPy1S749T\nopHjhVjOLeDHH39k5cqVZGRkkJ6ezoIFC9i1axcpKSls27aNO++8k3nz5jXJfd0cPXr0YMqUKcyY\nMQOzWf0S0utMAAAgAElEQVQDnT9/Po8//jjp6emMGjWK2tpasrOzj9DTH5tDLfE73NI/t1s7JtTK\noxf1xGzU+HTVPlbtVdmisotV9qGEBqkfAdJdyRpeX7ALgIn94rl7TBr3j+vqCcjqnxjBQ+d193FH\nu/m9wuzGbDT4JIBoFdxiBLBvWcuPO7BGRemCstrqWlgUIfMLKG8wveCegw1XQXDE9oQrP1XWpMmq\nLBn/CNi/2juHvHaGcncv+o+yGp0OyM9UrtagGBXNCxDUDjqkK4HVHd75W7fLNiTOd3vpS40+fwmf\n7Car31Ou4aQRat4zKhUiU5RQ7lsGO+aryOSQeGXRhXTw/YE3mtVnsb1g6hfKlW20qPlkUMLnFhf/\nMDWHi+b7gACqz0nvKPcsQL+r4exHVd/uv8Zipmkw/B71vkNfmPyRelBpeEzjv4bzrUaTV8iTR0JA\npFoWlnEDRyQgAlLGKIHuPLrpuBoLc8PjmrsWNw0jtOHQwuzZb2nZciqjqc0JM7Rpy/noLdzWQtd1\nrr/+eh577LEm+zZs2MCcOXOYPn06s2bN4o033mimBy/z5s1jwYIFfPPNN/z73/9mw4YN6LrOV199\nRefOvq7RhQsXHtfrOFWYm5nHQ19u5MFzuzGxv3cudtXeYu76ZB0T+8dzz9lpTY5zu7VjQ6ykRAfx\np5GdeeWXnTz8zSa+u2O4x3JOjPQV574JYczJzPNEVY/vFXv8LsZhV1Zf2lj1A3w8yVmtRMhtneRl\nqoCk5JGHPqahu7g0G8pzvQknDkdDUdedKgq2Q7oS205n+vbhdCqXeWk2rP1AfRY/EHJWKPc2+Cbo\nSBwCt69U78M6wsCb1DKiH/6u+l7s8hyZrMq6/exarws6rZkgnmF3QubnSlwtASowyRKk5iJfH66s\n9F+fVEFUaGru9H8XqgeQH/6hhAi84u52EYOyjpe+BIuehUrX8pwhtx5acNxEd4Obl6hgsojk5ttc\n8jqU7lMPLI0xW9X48zdC+74tE51ek9T9jO2lvBTHitkfbvxFvT+UcDZmwpvKixHTtA690DLEcm4B\nY8aMYebMmRQWqgCaoqIisrOzKSgoQNd1Lr30Uh599FHWrFkDHLo0o8PhICcnh9GjR/P0009TWFhI\ndXU1Y8eO5eWXX/a0c5d+/KOXeFyTXcL5Ly/yWLagihjc+fFaiqrq+HnrQc/nW3LLuf69lewvreGl\nn3awJrvp0qf8Mq84gwrGCgsws+lAOSv2FFNb7yQi0NKkqlN6R2+yjb4JYcSH+4r372LlW/DlTUpo\njie2CpV44b3zVYYphx0+uFgFRRXvaf6Ysv0qwYI5ABJcFclaaj2751lDXA9L+Rth/ScqEOmdc5TI\ng2t+90H4/DqVPapop3KXnuuaA3a6yjO6LWc3YR3VH8DAG5UlvX+1EkHdASPvU+LkFuhtroeMrs0E\n8bTvA51GKTf6QlcQWr9roF0XNc+NDr8+oVzK3S5QAuJeS7z0JTXuHx9Wc6zR3ZUV6Kbr+ep118/q\nHlhDlSXbEkLjILrrofdbQ5sXZjcmi7LgWxpRrGlqzvf3CLOb8MSm39nh8A8TYf6dtF3LuQ3Rq1cv\nHn74YcaMGYPT6cRsNvP6669jNBq54YYbPBmJnnrqKQCuu+46pk2bhr+/PytWrPBEetvtdq688koq\nKipwOp3ce++9BAcH8/DDD3P33XfTq1cvnE4nKSkpfP3114wePZpnnnmGvn378tBDDzFp0vHJ79pW\n+G59Lpn7y3noy0zm3DWCrXkV3PT+Kk8FnNwytTSqqNLG1e+soLzW7kns/9CXmXx7+zBMlbngH4bT\nFMDBCrWCLzpEubusZiMjUtvx7foDvP+bihBu7NIG6OXKvetw6p7o7ePGlm/U69bv4fwXDj/nV7hT\nCcLhaNdVzZPt+lmJD6hlNqFx3kQL2+Z413uCiijev1q5YUG5GmN7qaCwfSu8blSnE0r3eqNrdV2t\nSy3NVnOXfiGQcZ0riCpTBXaB2v/hBBj3pLJSl7+mkmAMmKYEpdtFENsH/EJVKkaA8ENYj6Cu74qP\n1JpfUD/yvS9XYnPdHNj8tbLe3ct5muOCF1UgmqNOWc3u+dkx/1TLeOprlFvU7aYdeofqv+HSI4PR\ne143HQeq77FYFfIgbZyaLxaE44yI8yF45JFHfLavvPJKrryyab5Wt5XbkMsuu4zLLrusyed+fn4s\nWbKkyeeBgYG8+eabTT5v164djVOc/pEocJUw3JZfwccrs3lr0R6q6hwM6RTJb7uLPDmkF2wvoKDC\nRp/4UN6/fhDnvbyILbnlPPnxDzy4ewpaxwEUTpyF3akTHmD2KUZwRpoS53mblOg1dmkD+FuMjEiN\nYnVWSbOZxY6ZqiLI/k29ry5SQpg4pPm2B9apQCb9CEuIQhPgjlW+a4O3fe+1aEG5oN3iXFUE752r\nIpjddBnvnWd1J4pw1KvlOtvnKDfuWY/A17eqdcRuUsao+UtQLuoC1zrwiE5KvN935yTSYOJbKjFF\nQzoOgJ0/qvdHyjvdeXTT+UqAuH7q70iEJ6o1so0JiPBGXTfE7K+s8yOhaeoBRRBaGRFn4aRRUOFd\nl/zQlyoCuGtsMK9P7U+ff84nv7wWh1Nnv6vG7JDOUYQGmHn0oh5c/94qCjf/isFSB1lLqNym5udj\nQnyDRkamRQF48lonNmM5A7w+pT+19Y7jm9xjxzzvGkpQopk4RFmkjecMFz+vhDkyRQU5NUfBNhVp\nve4j1bebnT/5zgVmLVWubqNFLb8p2KoSS0Qkq7zJPS5R49IMahlRTQnMeUAJM6iAqaylkLNSucA7\n9FXu5BH3eMeWu169xvWHyz5QbvuKPGVt9r+uqTCDyhTlFuewo3CRCsJpiIiz0GocLK9l+Z5izu/d\nvtl8xwUuN3SI1UR5rR1/s5FXruxLqL/ZU5KwqNLmKQAfH66WcIzuGsOsW4ZSN/s7cAUQB62eDvyp\nSWat6GArPTqEsOmAclcmRDY//2Y1G5st//e7cAdRdb9YBUhtm62CtWZNU9bpCFc0bfFu5f42mOGa\nb1XEanOs/1TNX8//u0qKEdFZWXz5ma6ED5Eq3WHWYuVGz5yl3NlhCXD9/KaBXzE9lTg/laS2zYHK\n4l74jBJmg1lVC2pswQZGe9ejdhmvXOqTWpBOP2GQ9zyBUUduLwinMRIQJrQa//p+C3d8vJb5m/Ob\n3e8W539d0ouYED+emtTbUwPXbQHnltV60nLGhXvXV/ZPDGdIYK5nOzpvAalajicYrCFnpHnTUTY3\n59wq1NfCzp/V+7P/qZbRFO2ET65S1X4WPatKA4JaB6w7ofdlhxZmUIktQuK9hRW6nquih92kjVMB\nTgDf/0Wt7w1sp6r5NBeR3f9aZRkbLcrNPflDGP1/ak41PEnVz23OtdwwaOlosip1HKSWJfW/5riV\n4BOEPyptTpyPVMJSaB1a476v3aciqpuLrK6td1Bea8ds1Di/V3uWPziGC/t4hcmdFjO3rJacErUE\nqmOAQ+XT3fy1apSvXOE/O1Sylw8sT3DP7ut9iwmAT8KR5uac0XVY9JxaZvPacDX32ii1JVu+VYkk\n3IFAW2fDm2ep9u+drzIwAWT9plJjvj5cBWzF9lZClzpW7XfYVCRyXSWsekcFVbkLAbhTPh4Ko9k3\n0KvLucpy9WyP9247bCqAa8oslTGpOQbcAA/lwt8LVDpDtxBnXKfKHXa/qPnjYlziHJaolgi1FJMf\nXPudSv8oCMJhaVPibLVaKSoqEoFuJRxOvdl7q+s6RUVFWK2HLrbQkLmZuUz/Zedhv6fy2nr2FSuL\nd9N+5VLeebCCB7/cSFlNvcdqjgryazbxRqxHnGs4UKrmpjvm/6CEef7fVc7jqgLqTEE8bL+Gat2P\nWK2E6Kod8MsTKsDJRd+EMJKjAuncLpDo5orQL3gafvqnyuCUv1G5mGdM8i1w4M4M9cElas535lRV\n6i9/o8rh+8EElZVqxqUqCrpohzqu9+Xqtc9k9dr1fFW9B2D56ypvs71Wfd4Soet3tbKeI1OUJdqh\nryqyENxBiWt4olomZfKHKz5Wy4qON+4I6X5XiwUsCK1Em5pzjo+PJycnh4KCQ9TeFI4Zh1Mnv7wW\nf7OR8MCmQU9Wq5X4+PhmjmzK37/eREGFjdFdo+nWPsTzeeb+MlbsKebaoUlszfUK26YDZei6zjPz\ntjFvUz6dogLpl6jWFrdrTizxrlXeuL+MOodan+x3wJWoojTLU17O0a47+ypjGGl7gWithM8jXyeg\nMlvNpcb1h7UfYs5ZxfxUHQ3QvvPNJ42tXM3Naga48GVVKemLG5Ul/MlVyvIszfZGO5fsha9cy3IG\n36pE9+fHlXDPci3L6TEBhv9ZBVFFparPOo+Ce7aqgCxQgpq/UWXdatdNnbsl+AW7CskbvMuybpin\nknK417NO/VIVBGhpwoijJXkE3LfLW9ZQEITjTpsSZ7PZTHLyYdY/CsfMst1F3PDBMrq3D2H2XSOO\nuZ/yWq/Vuz2/wkec//X9ZpbtLiYu3N+T5xpUecackhp+21UEwN6iKjq65n7bBR1CnF2W86q9yiUe\nH+7vrcoDntSL1vg+hOWbKawOpVAPxdZhMAHbs1XbwHbwtUqVeIT8TWqeta8rGf/UL+HtsbBngcqA\nVeNyy6eMUbWIi3aoxP1j/60sx0vfUxb1vmWqeMAl/22+FmzDed/hdysxD01QqR2PRkitIb7bjZNM\nmK1NUx0ebySgSxBalTYlzkLrUVOv1s9W1dnVvGhYgoqybY78zSoJfztXisyiXcoSi+3F3sIqT7O8\n7F0QlauKCOAtyfjrtoM09nh/unIf5bUqO9Tewmq6xtrwo46R+iqw9/EVM6eDnmULudS4DnupkVL6\nkhocAHu89ZXdeZ612J70Swj3ZBMzJw+B7TOVULoty46DvO7l5ojpoTIpuYnopHIXf3WzeghwW4h9\nrlCu4/2r1avbpWsJUAK7Z5FKN9mSIu09JypR7dAPgg+xdEoQhNMWEefThFpX3ugLar6Gd9+F+IHs\nm/A1oQFmQhqms9w+Dz65UpVnm/K5Wk7zwcUq09Jl77PHphJAGHBy8cabYc0BmPYj9vb9PLmtF2wr\n8Lir+yaEsTa7lA+WZXlOsbeoiuKyCt4xP8OwrE2woADOalDKb90Mui26g2dcw5rnyKDE6BLX9unK\nxWx3WeYxvehfHsrPWw9iMRoITBkG81CWszsaOuN675xvS+k5UWXCcruzDSZV6cca6q292xBLoLfm\nbEvQNN9gLkEQhAa0qYAwofWoqXdwsWEx9zpVCTz9wFrGPfcT0/63SqUsLNgG2+bCzGtU/mOHDT6+\nEj66XAmh7oTPr6duxwIAxhlWEFO/H3d5v4MVNlx5Psgtq2bf/n2AqvCk4USr8ebPziut4szMvzHM\nuEl9sOIt37SJrmjsRY6e2HQzY42rGFLmWjPceZSyTkHNu0Z3Y0CSsmxjQ61oUWnK0q3Mgz0L1UPG\noVI8Hg6TRc0pu0karoRZEAThBCDifJqglefwjPm/AOhGC5qzngTHPvLyD8KLfWD6QPj4clXUvd/V\n0HOSWk9rK1NrZwdMA0cdF2z5Cz213dxs+tbb+ZbvKMpSQmuhnvfMT7Pcchtnh+xjaOdI7jXNZLXf\nzYw0rCc8wMxNhm/oXbGQcj2AitA0dQ53vVhbhRJVNP7PcBefO1SFpcQCV57ljoO9a3sjU8ASQEZi\nOLeN6szfxndVFmlHV7ILdEgYcuyBUf2vUfmg4ejW8wqCIPxORJxPE4KKMjFrDhY7euBIUWtuu2lZ\npNg2qTKDliAVqTz4VhUcdfFryh3cdypMfBvGPwM9J2J1VvOJ5V/0NuyhUA+hNOUSQCd47RsYcPKy\n33TOMG7ArDm4zfQVSf61XG+ci1HT+Zv/V/Rr78c0k7KC76i/g7wB96sB/vYq2OtUKkpHHXQchCU0\nhjcd5+LUGxUe6DlBPTCM+AsABoPGfWO7Mt5dtKJhgfeuDZJ0HC1+waqaUuo50PvSY+9HEAThKJE5\n59ME/yrlZt6hx5Me2Z0gvqWbIZsaXMFLGdfBOf/yHmAwwvnP+/ShX/waSzbuZLim8ir/z34O6YnX\ncdbOr0jcO5NMv68I0GyU6/5YsJNe/RvM/Sv+Wh0A3RzbuLPqJSK0StY6U1jg7M1jXc+E9d2gYAus\nelsVgADoMp7YbVYWHWzPPGcG440r1cOD2wq+/MNDX2zD4K7fO6/bZ/LRz1cLgiD8TsRyPk0IdInz\nPj2ayjBVU7ablkWGtl016Di42eN0XWfnwQpySqoprIEbbXexgh6UW2L4wHE2a6qjIP0qNHQCNBs1\n5jCeDP8nnznOUB1kzgLgN3oB0KdUFT543X4+oBEVYoUz/qraznvQW2Kxy7metc5vGS9V6S/7XNGy\ni43rr9YRp433lj8UBEE4hRDL+TQhqOYAAPv0dpQGdyEW6GHIwg9XJi3PPK2XV37ewQfLssgvtxHk\nZ+KZSb2pwcrjUU9zw/AkSj9Zz/b8Srh6OreXXs6vW/N55pJBTI0OY/XaNPQVP6GhQ1x/hlzxKbzQ\nE+y17HHG8IMzgyA/EwEWk3JTH9wCC59WS7YiU6BdGu1D1dKp6vDucOeelmejMvnBLYuPx20TBEE4\nKYjlfJoQatsPQLYeTaklBpspmHCtkgDNRnVwEgS182lfZbPz7A/byS+3YTRoVNrsPDFHLStKjgok\nLVYlwtiRrzKB7SnXqCSA9hEhdGsfwpRzR6H1cs3TjrxP9d9f1cF91XERTgy+qTRHPegtfN9zIgCx\noarQRVyYv6SJFAThtELE+XTA6SSiTlVw2qdHU13v4GBAqmd3YXh6k0N2FVSi65AaHcQnNymXd3ax\nSjKSHBVEclQgRoNGdnE1tfUOcl0ZwTo0LNl44ctw63LvvO85/8I2bRGfO88EIKqhOGsanPcs3LzE\nU/T+rG7RjEiN4qrBCcflNgiCIJwqiDifDlTmYdLrKdRDqMZKpc3BAWuKZ3dOUNPiCNvzKwFIiw1m\nQFIE/V25sAGS2wXiZzKSHBWIU4fVWSUUV9VhNmpENUzHabZCdFfvttGEX3xvOrgs4iZ5tTVNlSM0\nquwjMSFWPrhhEKMaVJUSBEE4HRBxPh0o2Qsoqxmg2mYny+zNYb7T2rPJIW53dZqrvvKfRnoDq5Ij\nVS7nEakqv/KHruxfsaHWZitMNSYp6vB5tQVBEE53RJxPBzzirOaVK212dhmUOJfoQezR1frg6jo7\nNa40n9vd4hwTBMCYbjH0TQgjJsSPlGj12dndVE7o+ZtVnuv2Lov4SCS5xD06RMRZEAShOSRa+1TC\nYQfjUXxl7uoTLnHOdlvOdQ620Inn6iexXY/Hv9aBze5gzLMLiAiy8O3twz1u7dQYZTkbDJpn7tnP\npApKDEiOIMRq8hS0iAtrmThfOzSJeoeTS/oeovCGIAjCaY5YzqcKmV/AE3Gw88eWtS/aBU/Ew0+P\nqjKHeMW5qs5Opc3OS44JzHUOpKS6jpySGg6U1ZK5v5yVe0vYX1qD2aiRFBng6dLPZPQIM4DZaGBU\nV+98cPvQlpUpTI0J5ulJfVpsaQuCIJxuiDifKmQtVQUosn5rWfst30JdJfz2CuxfBXjnnKtsSpzd\nlFbXs7+kxrP92q87AegUFYTJePh/Imd395Y77NBCy1kQBEE4PCLOpwo1Jeq1urBl7fctV6+OOihS\nYusNCHNQZXN4mpbV1HOg1CvOv2wrACDVNd98OEamtcNsVEFgHcJaZjkLgiAIh0fE+VTBXXKxqgXi\nrOtecXZh1w3k6iovdaXNTkVtvWdfSXWdjzi7SXPNNx+OEKuZC/vEEeRnoldc2JHHJgiCIBwREedT\nBbfl3BJxLtoJ1UUQGA0JQwHYTxQO1Hyxe87ZTVlNPftcbm1LAzd2WgssZ4CnJvZizd/PbrpuWRAE\nQTgmRJxPFTziXHDkttnL1GvCIE9ZxUxnkmd3UWUdTh38TAaCrSZ0HbbklgNwXu/2nnapLbCcAUxG\nAxaT/FMSBEE4Xsgv6qnC0cw573OJc8fBkDqGyqnz+b/66z2788tVqs1gq4nwAFUycudBtXRqyuAE\nLC7RTowIQBAEQTjxyDrnUwGnA2rL1PvaMrDXgcly6Pb7VqhXV13j6nZ9KMEr6iXVar45yM9EiL+Z\n7GKwO9Wa6B4dQvn4xsGYDNoRI7UFQRCE1kHE+VTALcxuqosgpH3zbauLoXA7mKwQ2xuAmnoVmR3s\nZ6KiwVxzoJ+JsACvyEcFWbCajT55tAVBEIQTj5hGpwJul7abw7m21/xPvcb191jXbnGODPK1toP8\nTIT5mz3bsk5ZEAShbSDifCrQWJwPFRS2/lP48RH1fuCN3sNd+bJD/c0YGxSmUHPODcRZMnYJgiC0\nCUScTwWqi323q4qatsnbCF/fqt6f8zgH4sYx+tlf+WBZlsdy9rcYCbR4028G+pkIbeDWjgsXcRYE\nQWgLiDifCjSynN+at5y12Y2s6d0LwGmHnhNh6O18t+EAuwuqmL0hl1q3OJuNBPp5wwyC/BpZzuLW\nFgRBaBOIOJ8KNBLn2rKDfL8hFwBd18kpqUYvy1E72/cBYPluZW0XV9VRU+cEXJZzQ3G2mghrIM4t\nrSolCIIgtC4izqcCbnEOVPWYIyknz7VW+ddtBQx/6he2bd+q2oTG43DqrNjrEufqOo9b22r2dWsH\nWXyjtUWcBUEQ2gYizqcCbnGOTFUvWrknkYjbvV1XlK3ahMSzNa+cCleN5ZKqOmrq1Ht/s5EASyPL\n2SdaWwpXCIIgtAVEnE8F3OIclQJAhFbhsZz3l6rXWM0VJBYa53Fpg0oucrDCBhxqzllZzlazgYjA\nwyQ2EQRBEE4YkoTkVMAjzmkARFJGfrkNXdfJLavBQj3RWil23cDemkCW79nlc/h+V8UpNefcwK3t\nZyIu3J+ecSF0iw1B0zQEQRCEk4+I86lAY3HWKqizOympVnWYYzRlKecTzrQP1nnSc0YFWSis9JaD\ntDa2nK0mzEYD390x4gRejCAIgnAkxK19KuAW5/Ak7LqBEK0aC/XkltWQW1ZLnMulXWqKYW9RNWU1\n9cSE+NErLhTwWs6NA8IaCrUgCILQdhBxPhWoUZZxvV84xYQAEE4FW3IrsNmddLKUAtClS1fO66Vy\nbp+ZFk1EoKqvnOual24cEBYs4iwIgtAmkV/nto7TCTVKfMsJpEgPJlorJUor90Rqp1rLoBZMYfG8\ncnZfrs9OoktsCC/9tAPwVpzytxgIauTWFgRBENoe8uvc1rGVATr4hVBq0ynWleV8iXERZ2W+QZbh\nCpJMLrd3aEc0TaN/YgSAJxLbjb/ZSICfuLUFQRDaOvLr3NZxzzf7h1FaXU+Ry609zTQHHDDNOJv2\nhgDVJjTO59DIRkujrGajj+UcaJGvXxAEoS3SojlnTdPGaZq2TdO0nZqmPdDM/gRN037RNG2tpmkb\nNE079/gP9TTFI87hlNfUU+SynN0MMWyifV2W2giN99kXHtiM5ewS5ECL0adClSAIgtB2OKI4a5pm\nBKYD44HuwBWapnVv1Oz/gJm6rvcFJgOvHu+BnrY0EOfSmjp26R0AmOsYwGpnKn6anZDaA6pNiK84\nN04q0rAqlbi0BUEQ2i4t+YUeCOzUdX03gKZpnwAXAZsbtNEBt0kXChw4noM8rXEFg+EfTml1PR87\nRhOUnMEbO0OZZvye/gYV9IXJCgERPoc2EWezEV3FhkkwmCAIQhumJW7tOGBfg+0c12cNeQSYomla\nDjAbuOO4jE5oYDlHUFpdjwMjxo4ZaAYjPzr7e9uFxkOjDF+NxdlqNpIWE0zX2GDG94xt7ZELgiAI\nx8jxWud8BfCeruvxwLnAB5qmNelb07SbNE1bpWnaqoKCguN06j8YdhsUNUi/We3Kk+0fTlmNyvwV\nHmAhOtiP3XoHdjnVumZCGj8vQYjVhKnBvLK/xYi/xcjcu0dy39iurXYJgiAIwu+jJeK8H+jYYDve\n9VlDbgBmAui6/htgBaIad6Tr+hu6rmfoup7Rrl27YxvxH50f/wkv94Ot36vtMle1qQbiHBZgISZE\nVZBaahqo9od2bNwTmqb5BIX5m41N2giCIAhtj5aI80ogVdO0ZE3TLKiAr28atckGzgLQNK0bSpzF\nND4Wts9RrwueVlZz5hdqu9OZlFbXARDmbybWJc4/hl8Gfa6EIbc2211Eg7XOVhFnQRCEU4IjRgXp\num7XNO12YB5gBN7RdX2TpmmPAqt0Xf8G+AvwpqZpf0YFh12r6+7QI6HFVB6E4t3qfe46mDUN6quh\n81kQ25PSmiUAhAWYiQ1V4hwY0R4uee2QXbrnnS1GgyydEgRBOEVoUciuruuzUYFeDT/7R4P3m4Fh\nx3dopyH7VgDg1DUMmg67flKfD7sLgLJqt1vbTEKESjySGBl42C7d4mw1Sxp1QRCEUwVZT9OW2LcM\ngA8cY7jCsgiLsxbap0PySADPnHOIv5lLM+IxGjTO793+sF26xdnfIi5tQRCEUwUxp9oS2csB+MnZ\njzmBlwAanPkAaBq6rlPqEudQfzPBVjPXDE0iMsjvsF26A8IkGEwQBOHUQSzntkJ9LXruOnRdY60z\nld11A7no3scgSEW1V9rsOJw6ARYjfqaWC22kx60t4iwIgnCqIOLcVjiwFs1Rx1a9IxUEUFluo9Yv\nAqtrd6l7vtnffFTdhotbWxAE4ZRDxLmt4JpvXu1MA0DXIauomn3F1TwxZwvTRnQC1Hzz0RAXpuQ9\nolH5SEEQBKHtIuLcVjiwFoA1zlTPR3sKK5mxPJtdBVU8OWcroCK1j4Z+CeE8Pak3GYnhx2+sgiAI\nQqsi4txWqCoCIJdIz0db8ypYuVel7/RkB/M/OgtY0zQuy2iaPUwQBEFou0i0dlvBVgZAuR5IVJAS\n4C/X7qe23unT7GgtZ0EQBOHUQ8S5rVDrEmf8GZSsrOesomoAzu0V6ylgESriLAiC8IdHxLmtUOu1\nnOchygMAACAASURBVAd18q3LPKl/PBemdwCgQ6j/CR+aIAiCcGKROee2gNMJtgoAKvGnd3wYfiYD\nNrsTk0FjYHIkg5IjGZwcyfl9Dp8RTBAEQTj1Ecu5LVBXCbqTSvxxYCQ2xEpylMqZnd4xjCA/E4F+\nJi4b0JEAizxPCYIg/NERcW4LeFza/mgaRAVZPOI8NKVJWWxBEAThD46YYW0BWzmg5psjA/0wGQ1c\nPzyZeofOVYMSTvLgBEEQhBONiHNbwBOpHUB0sCpkMSApggFJEYc7ShAEQfiDIm7ttoBLnCv0AGJC\nDl9lShAEQfjjI+LcFvCxnK1HaCwIgiD80RFxbgvUuuecxXIWBEEQRJzbBm63NgG0CxHLWRAE4XRH\nxLktUFsKKMvZHRAmCIIgnL6IOLcF3EupCJT0nIIgCIKIc5vAk4QkgNhQcWsLgiCc7og4twEc1cqt\nXWMIJDLw6Oo1C4IgCH88RJzbAPUucbYEhmNwlYYUBEEQTl9EnE8SB0prWLC9AAC9Rrm1rSGSEUwQ\nBEEQcT5p3PLhaq55ZwWZ+8vQXAFhwaEizoIgCIKIc6vx1qLdPPbd5mb37SmsYn2OspY37CvFXK/E\nOTRcKlAJgiAIIs6txks/7eDtxXs4WF7bZN/sjbme97vzijDqdmp1MzERoSdyiIIgCEIbRcS5laiu\ncwBQWFnXZN/3G7zinJuv3lcQQKxkBxMEQRAQcW4V6h1O7E4dgKIqm8++PYVVbM4tx2xUUdkHC1RQ\nWLkeQIcwSUAiCIIgiDi3CjX1Ds/7okaWs9ulfX7vDvibjdirXKk7CaS9JCARBEEQEHFuFWrrvOJc\nWOlrOc/blAfAeb3akxoTRIhWDUAFgURIAhJBEAQBEedWwcdyrvJazpU2O5n7yzAaNIamRJIaHUwI\nVQDYzUFomiQgEQRBEEScWwVft7bXcl6XXYpThx4dQgiwmEhrYDk7/UJO+DgFQRCEtomIcytQU9f8\nnPPqrBIA+ieGA5AaE0QwSpw1/7ATOEJBEAShLSPi3Ao0tJwLG7i1V2UVAw3EOTrYYzmbA0ScBUEQ\nBIWIcytQ20Cci11LqRxOnbXZKjI7I1Gl6YwL8yfCWAOAX1D4CR6lIAiC0FYRcW4Fauqcnvdut/a2\nvAoqbXbiwvw9NZsNBo32VrU/ICTyxA9UEARBaJOIOLcCDd3a1XUOquvsrHa5tDOSfC3kHuEqWUla\nYtyJG6AgCILQphFxbgUaijMo63mVKxgsI9FXnKMMlQD4BUvRC0EQBEEh4twKNExCAmqts3u+uX9i\no7KQ1YXqNVDEWRAEQVCIOLcCjS3n3QWVZBdX42cykBYT5Nu4SsRZEARB8EXEuRVoLM6LdigB7to+\nBJOxwS2vq4L6ajD6gaWRaAuCIAinLSLOrYA7CYnFpG7voh2q8lSPDo2ygHms5nYgqTsFQRAEFyLO\nrYB7nXO8qwSku6Zzzw6hvg09882yjEoQBEHwIuLcCvx/e/ceHNd5n3f8+9sbsAAI4kLwBpLiRZQU\nymotmZbkke1YbuRKri06ccYj153YcVyNO1Ha1JO28miq8bidNnaadCYzmqhyqtbtxJZlpanZVI4s\nNY6U1JEtyaVs8SaRFG3eSYEkrou9vv3jnN09WO4ultACZy/PZwaD3YMD8D042H34e9/3vKfYrT0+\nvPD+zHUrZxEREZ/CeRkUu7U3DfeVtkUjxvXrVy3csRjOfZoMJiIiZQrnZVCsnDcFKuedawfojUcX\n7qjLqEREpAqFcx3OOR59/igvHb94Vd83XyWcb6wcbwaY9SaKKZxFRCRI4VzHobPT/O53D/Hvnj54\nVd9XrXJ+x3iV+zXPTnif1a0tIiIBCuc6ZtM5AKZS2av6vuKY8+pknFU9MWCxylkTwkREpEzhXEc2\n792UYj5bWGTPhYr798ajvO+6NVwz2sdN41XCWWPOIiJSRSzsBrSyXMEL2coVvxZT3D8Zj/LIP7wF\n57zbQ16hNFtb1zmLiEhZQ5Wzmd1tZofN7IiZPVjl6//RzPb5H6+b2eXmN3Xl5fzKeS6Tu6rvK3Zr\nJxNRzKx6MDun65xFRKSqRStnM4sCjwB3ASeBl8xsr3PuQHEf59w/D+z/W8DNy9DWFZfNe5XzfLZA\noeCqh2wF51ypcu6NRWvvmJmFXApivZDob0p7RUSkMzRSOd8KHHHOHXPOZYAngD119v8k8M1mNC5s\nuYIrPU7nGht3Lu7XE4vUD/M5rastIiLVNRLO48CJwPOT/rYrmNk1wDbgL99+08JXrJyh8XHnYJd2\nXaXLqDTeLCIiCzV7tvZ9wFPOuapJZmb3m9nLZvbyhQsXmvxPN19xzBmuIpwDk8Hq0gIkIiJSQyPh\nfArYHHi+yd9WzX3U6dJ2zj3mnNvtnNs9Ntb6k6AWVM6ZJofznCaDiYhIdY2E80vATjPbZmYJvADe\nW7mTmd0ADAN/29wmhicbGHOev8pu7SvW0a5UrJzVrS0iIhUWDWfnXA54AHgGOAg86Zzbb2ZfNrN7\nA7veBzzhnHPVfk47yi1hzLkY4ouPOatyFhGR6hpahMQ59zTwdMW2hyuef6l5zWoNwTHnuWZ3a89q\ndTAREalOK4TVkS00Pub86PNHiUWMLSPePZz3zD4F/+XLtb/hvH+ZuG56ISIiFRTOdQQr53pjzj+f\nmON3v3sIgK98/CZ22Ck+fulrcGmxHn6Dseub0VQREekgCuc6Gh1zfvbgudLjI+dn+Fz0aSI4uPFX\nYPdna/8Dq8dhZFtT2ioiIp1D4VxHcLZ2vW7t5w6Uw/nc6Z/xO9G/poARufMhWHPtsrZRREQ6j24Z\nWUcjlfPluQw/On6x9Hz32W/TYzleH/5FBbOIiCyJwrmObANjzn91+AJ5v8KOkePe3F8AsG/Lp5e/\ngSIi0pEUznUEVwirdSnVs36X9js3D3Fb5CBDNsvhwiYmR/7uirRRREQ6j8K5jsXW1s7mCzz/urfS\n16/fsZVfivwYgGcL71p8ERIREZEaFM51BK9znq9SOf/84hwz6RzjQ0nes22Eu6KvAPBc/l2LL0Ii\nIiJSg2Zr11GzcnYOnvw1IoV1wJ1sH+tnbO4NzN7ivBviVbedz6lyFhGRJVI415Er1JitPX0GDu5l\nUzQJ3MmOsQHs8J8D8Fz+ZhwRVc4iIrJk6tauIzhbe8F1zplZAOL5FL2k2THWD4e9pcefLewGGlhb\nW0REpAaFcx3B65wXXEqVni49HGWKHSNxOLOPPFF+ULgRgF51a4uIyBIpnOvIFWqMOfuVM8CITbOj\nb87bp2eUNAlAlbOIiCydwrmOTK7Gdc6ZmdLDjfEZ1tokALlk+d7MCmcREVkqhXMdwcp5vkblfP2q\nNDbrXescGVhb2q7rnEVEZKkUznUsWFs7U33MeXtfCma8VcISQxtK23tVOYuIyBLpUqo6shXXOTvn\nMLMFlfOmxCzMnAegZ2g96wd7mcvk6FflLCIiS6RwriN4nXPBQSZfoCcWXRDOa6MzpXC2gXU89U/e\nQy7viEXVKSEiIkujcK4juEIYwHymGM7lbu0hNwkzfpf3wFo2DfetZBNFRKQDqbyrI7i2NpQvp8qn\ny7O1+3OXwJ8QRmBCmIiIyFKpcq6jWDknYhEyuQJzmRwAmdkpkv4+0dQEpP1f48C6EFopIiKdRpVz\nHcUJYYO9XvgWK+dCoHJm9i2Y8Svn/jFERETeLoVzHVn/UqpVvXGgfK2zC4Zzds4bg472QO/qFW+j\niIh0HoVzHblSOPuVc8Z7viCciwbWgtmKtU1ERDqXwrmOrL9C2KqKbm3LepdSZYmXd9ZkMBERaRKF\ncx3FynnQ79YuhnMk61XOE/H15Z01GUxERJpE4VxDoeAoLq3d3+NVzvP+Ep7RnHcXqss94+Vv0GQw\nERFpEoVzDcVrnONRo89fijOVzYNzxP1wnk5uLH+DKmcREWkShXMNxWuc49FI6faPc5k85DNEXI6s\nizKfDHZra8xZRESaQ+FcQzGcYxEr3WEqlc2X1tWepZd8ck35GxTOIiLSJArnGsrd2pHSvZnns/nS\n7SJn6cX1jZa/oV/hLCIizaFwrqG4AEksaqVu7VQmUDm73oWTwFQ5i4hIk2ht7RrK3dpe5fwPIi8y\nPJWCzBYA5ugluioYzpoQJiIizaFwrqFYOcejxmjmNI8k/pCTp3ZA5j8AXuUcG1wPkTj0DHgfIiIi\nTaBwrsEm3qCPeWLRAVZnzgMwljkF/tKds/Qy1r8K7vsGJPrDbKqIiHQYjTlXM3GUbU98gK/GHyMW\nMfoLUwD0uHmYPAl44dzfE4PrPgRb7wiztSIi0mEUztVcehOAa+0UiViEvtzl8tcuHAK8bu3iymEi\nIiLNpHCuxp+RPWqTxCJGMhsM58OAXzn7l1iJiIg0k8K5Gj+cR5gmHoFkbrL0JVeqnJOqnEVEZFko\nnKvxwzlqjiGbWRDONu9V0elIknhUvz4REWk+pUs1fjgDDDNFbP7iFbvkYsmVbJGIiHQRhXM1wXB2\nUzB3ZTjnY7quWURElofCuZoF4TwJcxNX7FKI69pmERFZHgrnajIzpYeDbhJSV1bOTguPiIjIMlE4\nVxOonEfyF2F+kgIRJtyq0nbTcp0iIrJMFM7VZOdKD9dlTwAwHxvkpCvf6MISCmcREVkeCudqAt3a\n6zI/8zYlhjjjyvdvjvSuuuLbREREmkHhXE2gW3tN2quc870jnA6EcyypyllERJaHwrmaQDjHXNZ7\n0LcwnONJVc4iIrI8FM7VBMK5KNo/WgrnlEvQ15NY6VaJiEiXUDhXUyWc44NjpTHnGXRHKhERWT4K\nZyCVyfPvnz7IT0/6a2j74Tznekr79A6u4ajbyKzr4U23gf6EwllERJZHQ+FsZneb2WEzO2JmD9bY\n5xNmdsDM9pvZN5rbzOX1129c4D+9cIw/ev4I5LOQT1Mgyhk3Uton2r+GaN8Qd6b/gM9k/pUqZxER\nWTaLJoyZRYFHgLuAk8BLZrbXOXcgsM9O4IvAHc65S2a2drkavBxmMzkApudzpao5E00yURhkB2e8\nnfpGGB3o4cjcMAD9PbqXs4iILI9GKudbgSPOuWPOuQzwBLCnYp9/DDzinLsE4Jw739xmLq9MrgDA\nfDZfWoAkE+nlohss79Q3ykh/eRKYKmcREVkujYTzOHAi8Pykvy3oOuA6M/u/Zvaimd3drAauhLQf\nzqlsvlQ5pyNJJirCec1AIJw15iwiIsukWQkTA3YCHwA2AS+Y2U3OucvBnczsfuB+gC1btjTpn377\nipVzKpMvrQ6WtiQTBK5lTo4w2p8uPVW3toiILJdGKudTwObA803+tqCTwF7nXNY59ybwOl5YL+Cc\ne8w5t9s5t3tsbKzyy6FJl7q1CxWV82p/D4PkEKMD6tYWEZHl10g4vwTsNLNtZpYA7gP2VuzzP/Gq\nZsxsDV4397EmtnNZpbN5wB9z9sN53nq5WLwLVXIIIlFGB8qXVg0onEVEZJksGs7OuRzwAPAMcBB4\n0jm338y+bGb3+rs9A0yY2QHg+8C/cM5NLFejmy2dv3LMed56mcAfc+7zFh9Z408Iixj0xHSJuIiI\nLI+Gyj/n3NPA0xXbHg48dsAX/I+2k86Ww9llZjAgRZJDhS1k46uIb7kdoFQ59/fEMLOwmisiIh1O\nfbNAxq+cnYPc/AxxIGW9XGSQv9nzA+680RtyL87WVpe2iIgsJ6UM5coZIJeaJg7M41XJ0UQS/Cp5\n25p+/tHtW/iFDYPVfoyIiEhTKJyBdC5fepyf9y6lmqUXgFi03H1tZvzbj920so0TEZGuo1lNlK9z\nBsin/Zte+OEcj+pXJCIiK0vJQ/k6Z4BC2q+cnV85RzTxS0REVpbCmYWVsyuFszf5S5WziIisNCWP\ncwvGnIvXOZcq56gqZxERWVndHc7nDsBXt/HB2f9d2mRZL5xnCt5s7Viku39FIiKy8ro7eY7/DaQu\ncXP65dIm828ZOe28cI6rchYRkRXW3eE8fQaAwcJkaVPED+di5awxZxERWWndnTzTZwEYCoRzNOd1\na08Xu7VVOYuIyArr8nD2KuchyuEcy3uV81TBn62tMWcREVlh3Z08fjivYo4EWcARy6e8L6lyFhGR\nkCicfcNMkyBH1OUhEieV9341GnMWEZGV1r3Jk5mD+XJ39qhN0ce89yTRT9a/U5VWCBMRkZXWveE8\nc3bB01Gbot8PZ5cYoOC87VGFs4iIrLDuDefpheE8whR9lgbAJfoA7xpnM4WziIisrC4O5zMLnq4J\ndGu7eD+g1cFERCQc3Zs+lZWzBSrnWLlyFhERWWndG85TpwHIDm4BYIRp1nMRgHxyFNBMbRERCUf3\npo9fOadGdgFet/b2iNfVnR2+FtA1ziIiEo6uD+eZ4RsAWBOZZrt51XR69XZAY84iIhKOWNgNCI0/\nIWx69S8AMGZTJM1bHWx+9Q7gksacRUQkFN0Zzs6VKudLg9cDMMIkY5YDIDW4FbhETGPOIiISgu4M\n5/Q0ZGch3sd0zwayLkqfpcDgnBsmHS1eSqXKWUREVl53lobFy6hWrSedL3CRVaUvHXUbyOW95cE0\nW1tERMLQnekz7U38YtVG0tkCF91g6UvHChuYzXjd2xpzFhGRMHRnt3agcs7kC7wVDGe3kaHZDAC9\n8WgYrRMRkS7XneE8e8H73D9GOpvnIuVwPuo2MnRhFoD1q3vDaJ2IiHS57gznOW8lMPpGyeQLXHQL\nx5yHLswAMD6UDKN1IiLS5bo0nCe8z30jpKcKTLrVAGSIc9qtUTiLiEiounNCWCmcR0nnyrO1T0c3\nUiDC0fNet/ZGhbOIiISgO8M5dcn73DdCJl/guFsPwPHEdd6Xs3kAxocVziIisvK6vFt7lHQ2z98W\ndvHdd32NPz83CpfmS7ttXK1wFhGRldedlXPFhDAwLq29HZccKu0y0p8gmdClVCIisvK6L5ydK1fO\nyRHS2QIAiViE3lg5jDUZTEREwtJ94Tw/CS4PiVUQS5DOe+HcE4vQG6iUNw7pGmcREQlH94Vzqtil\nPQKwoHJOxoPhrMpZRETC0X3hPFcRzjlvZnZPRTirW1tERMLSheFcnqkNkMkVu7WjCyaAKZxFRCQs\nXRjOfuWcLFbO5W7tnlj516FrnEVEJCxdGM61KufIgspZY84iIhKWrg/namPOPbEIo/2JUJonIiLS\nfeFcmq09DJS7tXti0VI4jw8lMbNQmiciItId4VzIw89/6H2u1a0dj7C6Lw7AltG+UJopIiIC3bK2\n9qvfhO/8Jtz1b2CueNOLYre2PyEsGuG2baM8/JFdvG/nmrBaKiIi0iXhfP6g9/mN7y1YuhMWVs7R\niPHZ924Lo4UiIiIl3RHOxVtEnnoFYv6ynH2jOOdKE8IS0e7o4RcRkdbXHeFcrJazc94HQN8IuYKj\n4CAaMWIKZxERaRHdkUjFcC5KDECsZ8E1ziIiIq2iO1KpuCpYUd+Vq4OJiIi0iu5IpcrKuXIymMJZ\nRERaSOenUj7n3cMZg94hb9sVq4NFa3yziIjIymsonM3sbjM7bGZHzOzBKl//jJldMLN9/sfnmt/U\nJZq/DDhIDsHm27xtFQuQqFtbRERayaKpZGZR4BHgHmAX8Ekz21Vl1285597pf/xxk9u5dMEVwbbe\n4T1ePQ4El+5UOIuISOto5FKqW4EjzrljAGb2BLAHOLCcDWua4mSwvlG47fPeTO1dHwPK3dqqnEVE\npJU0kkrjwInA85P+tkofN7OfmNlTZra5Ka1rhuCKYLEeePdvQP/CpTtVOYuISCtpVir9L2Crc+7v\nAM8CX6+2k5ndb2Yvm9nLFy5caNI/vYiKG10EBe9IJSIi0ioaCedTQLAS3uRvK3HOTTjn0v7TPwbe\nVe0HOecec87tds7tHhsbW0p7r17FLSKDNCFMRERaUSOp9BKw08y2mVkCuA/YG9zBzDYEnt4LHGxe\nE9+mGpXzfDbPD468BahbW0REWsuiE8KcczkzewB4BogCjzvn9pvZl4GXnXN7gX9qZvcCOeAi8Jll\nbPPVqbhFJMDZyXl+9dEfcPJSCoCbxleH0TIREZGqGrrxhXPuaeDpim0PBx5/Efhic5vWJBW3iAR4\n6pUTnLyUYvtYP//6I7v4wHUr1MUuIiLSgM6/K1WVbu3XTk0B8MCd13Ln9WvDaJWIiEhNnT/Ymgpc\n5+zbf2YSgHeoO1tERFpQ54dzqXL2urUn57KcuJiiNx5h+5r+EBsmIiJSXWeHcyEPqcsEb3qx/7RX\nNd+wfpBYtLMPX0RE2lNnp1MqcNOLqDe8vv+0N978jvHBEBsmIiJSW2eHc5WZ2q/5lfONGzXeLCIi\nramzw7naZLBi5axwFhGRFtXZ4VwxGWwuk+PohRliEeO69QMhNkxERKS2Lglnr3I+eGYK52DnulW6\n2YWIiLSsDg/nYre2Vzm/eqI43qzJYCIi0ro6PJy9G1sUK+e/PHQegPdsv/L2kSIiIq2is8N5xgtj\n+tcyNZ/lxWMTRAw+eIOW7BQRkdbVHeE8sI6/OnyBXMGxe+sIw/2JcNslIiJSR5eE8xjPHTgHwId2\nrQuxQSIiIovr8HD2AjmbHOP7h72gvkvhLCIiLa5zwzmf8y+lMn50PsL0fI6dawe4ZlQ3uxARkdbW\nueE89xbgoG+UH/3MWxXsTk0EExGRNtC54RyYDHbqcgpAt4gUEZG20AXhPMZpP5w3DiVDbJCIiEhj\nOjecZ6+snBXOIiLSDjo3nP2Z2q5vjDOX5wEYVziLiEgb6OBw9irnmcQomXyBkf4EyYRudiEiIq2v\n48N5Au++zRuHesNsjYiISMM6OJy9bu1zeS+c1aUtIiLtonPDefYCACey3uVTmgwmIiLtonPD2a+c\n30wNAKqcRUSkfXRmOOcykLoEFuH1ae8OVApnERFpF50Zzn6XNv1jnJrMAOrWFhGR9tGZ4ex3aTOw\ntrQAyfiwwllERNpDZ4azXznnkmNMprIkYhFG+xMhN0pERKQxnRnOfuU8lxgFvPFmMwuzRSIiIg2L\nhd2Aprp4DF75Opz4IQCXIkOAJoOJiEh76ZxwvnQcHr8HZs6WNp2NbAC0OpiIiLSXjgjny+dP4h7/\nCMPzZ2Hz7XDjx6BnkG8f3AFMsHm4L+wmioiINKztw9kVCpx97Fe5IXeCtwauZ82nnoTe1bx+bpo/\nffIFYhFjzzvHw26miIhIw9p+QphFIqTe/xA/KWzjl6e+wOl5b1b273/vMM7BJ2/dwpZRVc4iItI+\n2r5yBrj5/R/l88c3cOLAOR7+zmv84vVreWb/OXrjEX7rg9eG3TwREZGr0hHhDPDwvTfywpG3eO7g\neZ476N0u8tfv2MbaQU0GExGR9tIx4bxxKMmXPnojX/mLQ7xjfDUfvGEtn7ptS9jNEhERuWodE84A\nn3j3Zj7x7s1hN0NERORtafsJYSIiIp1G4SwiItJiFM4iIiItRuEsIiLSYhTOIiIiLUbhLCIi0mIU\nziIiIi1G4SwiItJiFM4iIiItRuEsIiLSYhTOIiIiLUbhLCIi0mIUziIiIi3GnHPh/MNmF4CfNfFH\nrgHeauLPC5OOpTXpWFqTjqU16ViudI1zbqyRHUML52Yzs5edc7vDbkcz6Fhak46lNelYWpOO5e1R\nt7aIiEiLUTiLiIi0mE4K58fCbkAT6Vhak46lNelYWpOO5W3omDFnERGRTtFJlbOIiEhH6IhwNrO7\nzeywmR0xswfDbs/VMLPNZvZ9MztgZvvN7J/5279kZqfMbJ//8eGw29oIMztuZj/12/yyv23EzJ41\nszf8z8Nht3MxZnZ94He/z8ymzOy32+W8mNnjZnbezF4LbKt6Hszzh/7r5ydmdkt4Lb9SjWP5PTM7\n5Lf3z8xsyN++1cxSgfPzaHgtv1KNY6n5N2VmX/TPy2Ez+/vhtLq6GsfyrcBxHDezff72Vj8vtd6H\nw3vNOOfa+gOIAkeB7UACeBXYFXa7rqL9G4Bb/MergNeBXcCXgN8Ju31LOJ7jwJqKbV8FHvQfPwh8\nJex2XuUxRYGzwDXtcl6A9wO3AK8tdh6ADwPfBQy4Hfhh2O1v4Fg+BMT8x18JHMvW4H6t9lHjWKr+\nTfnvA68CPcA2/30uGvYx1DuWiq//PvBwm5yXWu/Dob1mOqFyvhU44pw75pzLAE8Ae0JuU8Occ2ec\ncz/2H08DB4HxcFvVdHuAr/uPvw58LMS2LMXfA44655q5aM6ycs69AFys2FzrPOwB/pvzvAgMmdmG\nlWnp4qodi3Pue865nP/0RWDTijdsCWqcl1r2AE8459LOuTeBI3jvdy2h3rGYmQGfAL65oo1aojrv\nw6G9ZjohnMeBE4HnJ2nTcDOzrcDNwA/9TQ/4XSaPt0NXsM8B3zOzV8zsfn/bOufcGf/xWWBdOE1b\nsvtY+CbTjucFap+Hdn8NfRaviinaZmb/z8yeN7P3hdWoq1Ttb6qdz8v7gHPOuTcC29rivFS8D4f2\nmumEcO4IZjYA/Cnw2865KeCPgB3AO4EzeF1E7eC9zrlbgHuA3zSz9we/6Lw+oba5RMDMEsC9wLf9\nTe16XhZot/NQi5k9BOSAP/E3nQG2OOduBr4AfMPMBsNqX4M64m+qwidZ+B/atjgvVd6HS1b6NdMJ\n4XwK2Bx4vsnf1jbMLI73B/Enzrn/AeCcO+ecyzvnCsDXaKHurHqcc6f8z+eBP8Nr97lil4//+Xx4\nLbxq9wA/ds6dg/Y9L75a56EtX0Nm9hngI8Cn/DdO/C7gCf/xK3jjtNeF1sgG1PmbatfzEgN+BfhW\ncVs7nJdq78OE+JrphHB+CdhpZtv8Kuc+YG/IbWqYPzbzn4GDzrk/CGwPjl/8MvBa5fe2GjPrN7NV\nxcd4k3Zewzsfn/Z3+zTwnXBauCQLKoB2PC8Btc7DXuDX/BmotwOTga68lmRmdwP/ErjXOTcX2D5m\nZlH/8XZgJ3AsnFY2ps7f1F7gPjPrMbNteMfyo5Vu3xL8EnDIOXeyuKHVz0ut92HCfM2EPUuulOp2\nOAAAAOdJREFUGR94M+dex/vf2ENht+cq2/5evK6SnwD7/I8PA/8d+Km/fS+wIey2NnAs2/Fml74K\n7C+eC2AU+D/AG8BzwEjYbW3wePqBCWB1YFtbnBe8/1CcAbJ442G/Ues84M04fcR//fwU2B12+xs4\nliN4Y37F18yj/r4f9//29gE/Bj4advsbOJaaf1PAQ/55OQzcE3b7FzsWf/t/BT5fsW+rn5da78Oh\nvWa0QpiIiEiL6YRubRERkY6icBYREWkxCmcREZEWo3AWERFpMQpnERGRFqNwFhERaTEKZxERkRaj\ncBYREWkx/x9ZSfz+NR/QvwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1159670b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"subplot = fig.add_subplot(1,1,1)\n",
"subplot.plot(range(len(history.history['acc'])), history.history['acc'],\n",
" linewidth=2, label='Training set')\n",
"subplot.plot(range(len(history.history['val_acc'])), history.history['val_acc'],\n",
" linewidth=2, label='Test set')\n",
"subplot.legend(loc='upper left')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x120b48f98>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAF3CAYAAACluzxkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ffc2f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 本とは順序が逆になることに注意。\n",
"w1_val = model.get_weights()[0][0]\n",
"w2_val = model.get_weights()[0][1]\n",
"w0_val = model.get_weights()[1]\n",
"\n",
"train_set0 = train_set[train_set['t']==0]\n",
"train_set1 = train_set[train_set['t']==1]\n",
"\n",
"plt.figure(figsize=(6,6))\n",
"\n",
"plt.ylim([-10,40])\n",
"plt.xlim([-10,40])\n",
"plt.scatter(train_set1.x, train_set1.y, marker='x', label='pos')\n",
"plt.scatter(train_set0.x, train_set0.y, marker='o', label='neg')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.legend()\n",
"\n",
"linex = np.linspace(-10,40,10)\n",
"liney = - (w1_val*linex/w2_val + w0_val/w2_val)\n",
"plt.plot(linex, liney)\n",
"\n",
"# ここはまどろっこしい処理だが、imshowしたいためだけなので深い追いしなくてもよい。\n",
"# ただ、\n",
"mesh = np.meshgrid(np.linspace(-10,40,100), np.linspace(-10,40,100))\n",
"mesh = np.concatenate([mesh[0].reshape([10000,1]), mesh[1].reshape([10000,1])], axis=1)\n",
"field = model.predict(mesh).reshape([100,100])\n",
"plt.imshow(field, origin='lower', extent=(-10,40,-10,40),\n",
" cmap='gray_r', alpha=0.5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment