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@xiangze
Last active February 6, 2018 00:38
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# (simple) GAN"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from __future__ import absolute_import\n",
"from __future__ import print_function\n",
"from __future__ import division\n",
"\n",
"import edward as ed\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"import numpy as np\n",
"import os\n",
"import tensorflow as tf\n",
"\n",
"from edward.models import Uniform\n",
"from observations import mnist\n",
"from tensorflow.contrib import slim"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from PIL import Image\n",
"import glob"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from observations import mnist"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"imsize=28"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot(samples):\n",
" fig = plt.figure(figsize=(4, 4))\n",
" gs = gridspec.GridSpec(4, 4)\n",
" gs.update(wspace=0.05, hspace=0.05)\n",
"\n",
" for i, sample in enumerate(samples):\n",
" ax = plt.subplot(gs[i])\n",
" plt.axis('off')\n",
" ax.set_xticklabels([])\n",
" ax.set_yticklabels([])\n",
" ax.set_aspect('equal')\n",
" plt.imshow(sample.reshape(imsize, imsize), cmap='Greys_r')\n",
"\n",
" return fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"4x4画像表示用の関数"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"M = 128 # バッチサイズ\n",
"d = 100 # 隠れ変数の次元"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Dataのgenerator"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ed.set_seed(42)\n",
"\n",
"data_dir = \"tmp/data\"\n",
"out_dir = \"GANout\"\n",
"if not os.path.exists(out_dir):\n",
" os.makedirs(out_dir)\n",
" \n",
"def generator(array, batch_size):\n",
" \"\"\"Generate batch with respect to array's first axis.\"\"\"\n",
" start = 0 # pointer to where we are in iteration\n",
" while True:\n",
" stop = start + batch_size\n",
" diff = stop - array.shape[0]\n",
" if diff <= 0:\n",
" batch = array[start:stop]\n",
" start += batch_size\n",
" else:\n",
" batch = np.concatenate((array[start:], array[:diff]))\n",
" start = diff\n",
" batch = batch.astype(np.float32) / 255.0 # normalize pixel intensities\n",
" batch = np.random.binomial(1, batch) # binarize images\n",
" yield batch\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## データの生成"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"(x_train, _), (x_test, _) = mnist(data_dir)\n",
"x_train_generator = generator(x_train, M)\n",
"x_ph = tf.placeholder(tf.float32, [M, imsize**2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"VAEの時と同じ"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 生成ネットワーク、識別ネットワーク"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def generative_network(eps):\n",
" h1 = slim.fully_connected(eps, 128, activation_fn=tf.nn.relu)\n",
" x = slim.fully_connected(h1, 784, activation_fn=tf.sigmoid)\n",
" return x\n",
"\n",
"with tf.variable_scope(\"Gen\"):\n",
" eps = Uniform(tf.zeros([M, d]) - 1.0, tf.ones([M, d]))\n",
" x = generative_network(eps)\n",
" \n",
" \n",
"def discriminative_network(x):\n",
" \"\"\"Outputs probability in logits.\"\"\"\n",
" h1 = slim.fully_connected(x, 128, activation_fn=tf.nn.relu)\n",
" logit = slim.fully_connected(h1, 1, activation_fn=None)\n",
" return logit\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"全結合ネットワークをtensorflow slimを用いて作っている。\n",
"\n",
"生成ネットワーク(generative_network)を用いてデータx_phに対応したxを生成する。\n",
"識別ネットワーク(discriminative_network)は以下のクラスのコンストラクタで代入する。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 推定"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_iter=150000\n",
"n_print=5000"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true,
"scrolled": true
},
"outputs": [],
"source": [
"optimizer = tf.train.AdamOptimizer()\n",
"optimizer_d = tf.train.AdamOptimizer()\n",
"\n",
"inference = ed.GANInference(\n",
" data={x: x_ph}, discriminator=discriminative_network)\n",
"inference.initialize(\n",
" optimizer=optimizer, optimizer_d=optimizer_d,\n",
" n_iter=150000, n_print=1000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コンストラクタでデータx_phとxの組と識別ネットワーク、初期化(initialize)で生成用、識別用の最適化アルゴリズムとイテレーション回数を代入する。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"150000/150000 [100%] ██████████████████████████████ Elapsed: 1392s | Disc Loss: 0.605 | Gen Loss: 1.870\n"
]
}
],
"source": [
"sess = ed.get_session()\n",
"tf.global_variables_initializer().run()\n",
"\n",
"idx = np.random.randint(M, size=16)\n",
"lossvalue=[]\n",
"i = 0\n",
"for t in range(inference.n_iter):\n",
" if t % inference.n_print == 0:\n",
" samples = sess.run(x)\n",
" samples = samples[idx, ]\n",
"\n",
" fig = plot(samples)\n",
" plt.savefig(os.path.join(out_dir, '{}.png').format(\n",
" str(i).zfill(3)), bbox_inches='tight')\n",
" plt.close(fig)\n",
" i += 1\n",
"\n",
" x_batch = next(x_train_generator)\n",
" info_dict = inference.update(feed_dict={x_ph: x_batch})\n",
" inference.print_progress(info_dict)\n",
"\n",
" lossvalue.append(info_dict['loss'])\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"一定期間(n_iter)ごとにsession(sess)から推定(生成)された変数xを取り出し、画像に出力するようにしている。\n",
"generatorからバッチごとにdata x_batchを取ってくるのはVAEと同じ"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## lossの変動"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc7f394ba58>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc88c7f4ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(lossvalue)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 生成された画像"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc88c7f4cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f38985c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3898320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"3\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f386fb70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f38135c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f37deb70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"6\n"
]
},
{
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f37b7898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"7\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f376d8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"8\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f376d908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"9\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f37258d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f36d6b70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"11\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f36a8cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"12\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f364b400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"13\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3616a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"14\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f35d6be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"15\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f35eddd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"16\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3543be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"17\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f355d5c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"18\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f35160b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"19\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f34c3940>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"20\n"
]
},
{
"data": {
"image/png": 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AS5YsAVwLIhqNYoxxYuxiqp599tkJvxcnpXeyHr/Tc9GiRTz99NPOfsaPH59jLdIjT13v+Y9Go2ktiHTT/m3fvj3hWhXDcvZbowDDhw8HXOvg7rvvdtbt2LEDcHU/88wzE7YtNGpJKIoSSKu1JIJCYamsBLEghg0bBrjh1E2bNuVBusyIBeFHnrQS4pUnp0x7v99++wHZTfc3YsQIx2I5+uijmyZwA5HwnzBhwoQkS8fLf/zHf6Rcvv/++yeETgvNunWpp8IVn0QqJMNSHJgy4XWxUEtCUZRAWqUl0aVLl5Rl91PlxoulIE/iYk+U4uf8889PWrZ06dKkvrf4WdI92cC1OuRJ1qFDB66//vqEZfmmY8eOgDvGRLz+s2fPZsaMGSn1BbjvvvsSvv/whz8EoLa2lrfeeguAhx56iCuvvDIvcvtp164dkDjmR87v+eefz4cffgi40Sev9Sr32LPPPpvwu2KhloSiKIG0Skti+fLlzkjPIUOGAPDkk0+m7PNed911QPgsCOHCCy9MWnbggQem3d4/CW27du3YsmULgJNgdsMNNzjbX3311TmTNR2TJk1y8gXGjYtNQi+JbPIU3bp1K3V1dUyePDlh+csvvwy4kQC/r8kbESkkYnmJb8iLJOuBK7fIuHnz5qLIG0S4pFEUJXS0Skuif//+SZaBt98nXuWBAweydOnShO2KHdXwM3jw4ITvixYtYsOGDUn9WOnL+yM33377bVIuSL7xZ4dCzF+QiUgk4lw3f+aqWBCipzytS0pKnG1OO+00Z7BVoejTpw9ffPFF2vVhtVC9qCWhKEogrXLshjHGsQhkgI8xhu7duwOwdu3apN88/PDDAFxyySVA4yclztfYDf/+0+H3STRl6HRDx26kGsPg35fsY+HChQD06tULiEUJIpEItbW1zvdUv/dXqDLGOMfr1KkTGzduzEqfXF2fmpoaevbsmbRcfD0SPfLKIP6YBx54oEnH1rEbiqIUhFbpk7DWOk+UTJ5kyZuXln/QoEEAzJkzJ48SZs8pp5wCwP/+7/9mtb1YDoX2oJeUlHDGGWekXe8fS3LIIYek3E6iUv6npF8f2W7r1q28//77ABx22GGNkLxpjBgxwol0iH+rXbt2aS04Y0yTLYhco5aEoiiBtEpLAtxRg1INOx1jx44F3CfV4sWL8ytYGmTU6qhRowD45S9/CcDhhx/eoP1IX1vyC6Qyc74ZO3Ysf/vb3xKWiTXgXde7d++0++jevTtr1qxJWJaursfmzZudz8cee2xjRM4JS5YscfSUa5jJDyRZscUcc+IloyVhjPmLMWadMeYjz7LOxpg5xphP4++d4suNMeYuY8wyY8xCY0zh7TtFUXJLpnLawDDgMOAjz7JbgWnxz9OAW+KfRwHPAQY4Engrm5Ld+S6pX19fb+vr6+2WLVvsli1brDHGWVdeXm7Ly8vT/nbKlCl2ypQpTgl+WW6MSdhPtq/G6tKxY0fbsWNHpzx8EFOnTnV0Fd0F+X22Zeaz0SVIp3/961/2X//6l/3yyy+Ttpdz6pUr6Hg7duxwfhuJRGwkEmmS/EH6NHVfu3btsrt27bLvv/++3bFjR4LsO3fuTDoXV1xxhb3iiivs5s2bbadOnWynTp1yqk8qclZS31r7CuCP940GJPvlIWCMZ/nDcRneBCqNMT0yHUNRlPDSWJ9EN2utdA6/BLrFP1cBKzzbrYwvS+xIAsaYycBkgH322aeRYmSHP6OwtLTU6ctKvP2rr75KWf9QKjvJiDzJpShkif0NGzY4x5Uoy69//WsgWTdrbUKVI+9ygIMPPhgonG9Foi+pCulK/co2bdpkzEvwXhMIf6aiRGlOOukkx/8jNUm8tTzk+l1wwQWAOwo2TDTZcWmtFbO7ob+bDkyHWDJVU+VIhVQplkKizz33HBD7g7/xxhvEjw3AZZddxoMPPgi4F3Pbtm1OirYM/S0k8oeurKx0EnL8jYP8ebzJQy+88AInnngi4CaBTZo0CShc4yDySENw7bXXJhVPkYLDXvbaay/ALTjsLdlWX1+fcsBUmJkzZ07K4fnSyEmK+ogRI4BYApXcc2GhsSHQtdKNiL/LWVgFeNPL9o4vUxSluZKN4wLoTaLj8rckOi5vjX/+HomOy7ez2X++HJerV6+2q1evtmvWrLFr1qzJ6hhedu3aZXv27Gl79uyZc+dYNtsOGjTIDho0yL7zzjvO78QR+eqrr9pXX33Vbt++3W7fvt1xVIpTs7Ky0lZWVtoxY8bYMWPGOPuUuTOHDBlihwwZYidMmJAzx1jQtlVVVc52Ips4K0tKStJeg7KyMltWVmbffffdnDopM+mTr/0KovvWrVvt1q1bnW0HDhyY1+N6ydZxmbG7YYyZCQwHuhpjVgLXADcDfzPGnAcsB8bFN/8HsQjHMuBb4JxM+1cUJdxkbCSstRPSrDoxxbYWuKipQuUKSZhqaD9W+tGLFy9m5cqVOZcrW2RinJEjRzrl56SvL4Vp5bs4w8Qhmy79WpbLHKiFKtO+atUqjjrqKACnyI18j0ajvPnmmwnLXnrpJcD1D0k6fFh58sknAfjBD36QtM6mGNQnn//xj38ArkNcUsjDhKZlK4oSSIscKi6ef/ES++fHTIW1NmFQUL5I9VTJRHl5OUOHDgXcdGr//sSSqK+vp6SkxNFZBk4FTW/XWPz7aujwatl+v/324/PPPwdcqy9VyDTfePVpqC4ir0TBJHpxzjnnODqJtXHooYc6JfXlOkn6/3//9383UvpkMl3rbIeKt8ixG3KBZJLfMDSETWHnzp3OPBv+/P9UukWjUadxEIJqORQLGZUpXR8oTuOQC+T6SEhduqzGGJ544gnAnaTYO+eGdA9z2TjkGu1uKIoSSIu0JITmbkF4SVUtqyGEyYIQvBZEc8dfa1SSpLyIw7a5oZaEoiiBaCOhKEog2kgoihKINhKKogTSrByXLckR2ZJ0EVqSTi1Jl6ailoSiKIFoI6EoSiDNqruRr1mvCklj0rLDSlPTssNGU9Kyw0iuukxqSSiKEog2EoqiBKKNhKIogWgj0UwoLS3Nasi7ouQabSQURQlEH00ZOPLIIwH4r//6LwAmTpwIFD7ZRuoOSHn2Hj1icx5JXQmxMqTcm8ypWV1dXUApc4c/urBp0yYqKir4/ve/D7izqEudjEzzazYnZA7Q9evXA+69dvnllwNw7733AhSs9L42EimQG2/cuHE89thjgHsTSk3IG2+8sWDynHrqqc48FDLZjTQGXbt2Bdyh5IcffjjvvPMOy5cvB2JVn7xI4yI1M2U/xSQSiTgFgrZt2wbAWWedBbiNc0VFBcYY/v73vwPwk5/8xPktwJ133llQmfPFSy+95JwLGX4u11743e9+B8C8efMAOP300wH3muYa7W4oihJIi6xx2ViGDBkCxKb8A1i2bJmzTsx5mdJ+x44dAFx66aWAO1NWJhqSTFVbWwtAVVWVU1VZyqSdd955AEybNg2A6667Dog9cSdOnOhYCGIJXXPNNYBbzXn06NEALFy40Kkq3lDymUwl51eeorfffjuXXHJJUhVwkcFf1q8xFDKZyt9NkhqlXssu3X/Tfw7SyZqrGpdqSSiKEkir9UlIK3zhhRcCsSfwTTfdBCRWlpbP0k+UJ/H06dMB+OMf/wjAjBkznG1yhVTvvuyyyzjmmGMAd74NOdZll10GuBMYl5aW8tJLL/HjH/8YgF69egHuXJMyv+hPf/pTIFZm7Wc/+xkAt956a07lbwr+fvill17KxRdfnDSPiFwfebrmoyp4PhDLR3xMs2fPBqBPnz588cUXgDuH7YIFCxJ+6z8Ht99+O+BatblGLQlFUQJp9T4J0T8ajbJx40YAunTp4qyXaEC3bt0ANywlM3uJN/7KK6/krrvuyvp42egi/dRjjjmGM888E4Drr78ecC0g8TX495/uu4RQJcxmjEnqF2fbry/EAK8xY8YAsdm5N2/e7EQzBCk4K9ehKeTbJyE+poqKCmeZTCHw9ttvA3DCCSeklAdcP41Esg488EDAtSrFX5bu937UJ6EoSk5oVT4JacG3bNnizLnofWKsXr06Yfvt27c7+QZSkl5maPLPnHXLLbckWBKynXirJRmqIchv582bxwEHHAC4T5H7778/5bbt27fnm2++cfSS96lTpwJw9913J8hvjOHiiy8G3JyDMCQmiVUns17NmjUr5XarVq0CoHPnzoURrBGI9ZYqiiT3iVgQjz32mHMf+f0s4geT6yXXMBdWVBCtorvRv39/wA0fgtuNWLNmjbOsQ4cOgGu2RSIR50LJdlVVVYBr+onj8p577uHTTz/NmAHY2HoS8gc+55zYRO2PPPII4GbdDRw4EIDzzz+fKVOmMGrUqAS5n3vuOQBef/11AMaPH+/ILeFV2fadd95JkDUd+ehuyPldsWJF4D5z2c0Q8tXdkAeM1+Eo3VdpQITS0lJnykN5kP35z38G4J///Cfg3guZdNfuhqIoBaFVdDe8FoTgtSCEyspKgATnmDxR5AknyFybEoKUiXoFmSQ2F/n1paWlTnq1OBxlvyKfdIuGDx9OWVmZY8YuXLgwQX6xcETHNm3a8MADDwBu18nrWCs04hD2U19fT319veNUzreJnSuWL1+eFLI86KCDkiwIoa6ujp49ewJw1FFHAW6XqlioJaEoSiCtwpIIQp64S5YscRKPvMiTWpJfNm3aBLiOMu8cm14/RC5H6I0YMYKamhoArrrqKsBNfJLjyyzWBx10EJFIhIMOOghwHX5+H4n8bujQoXTq1CnlNoXk6quvDlwfiUT44IMP2Lp1K+BeN0lPv+eee/IrYAMR62GfffZJWrf//vuzePHilL+LRCJJ/pCOHTsC7lyihb5OakkoihJIq7IkvCm79913H4CTvpwOSXmVfrp4pRsT0mwoAwYMAGKRCQmLycCsvffeG3Bn5pbkqgMOOICqqipHr0WLFqXct5yLfv36OcvEf1FopkyZ4gxQSxf9sdZy4403Ouuff/55wE03f/TRRwE31CtJZ4UmKKLw8ccfA/D000+n3WavvfZy/DIS9l66dGkOJWw4rSIEmgpx0okDMhVPP/00Z5xxBpA7E68hIVBvoyZFViRW/vjjjwOug1T2+9577zF8+HBn7IOMaPXjj8F7P2c7/iGXIVBxLn/3u98F4Dvf+Q4ATzzxBBAzuUtKShK6d16kGyK5CI2RpSkhUMld+O1vfwu49xe4GZHZ1O5Yu3atM2ZHrm1jz2vBQqDGmL8YY9YZYz7yLLvWGLPKGLMg/hrlWXelMWaZMeZjY8yITPtXFCXcZNPdeBC4B/AXTLjdWvs77wJjzABgPHAQsBfwgjFmf2tt6ua/iEgrKw6kAQMGcPPNNwNuVuL69euL6swTa6Curo6TTz4ZwEmS8iNPm0GDBrFlyxbmzJkD4PxOkGpGqZ5O6UYd5guRYePGjY5pLUlU4pi84447APd6ifNOxtDsu+++gGtBvPbaa4UQ3WHy5MkJcgoyJuPGG29MaUH4rTUJUUuI24voXKzQdMZGwlr7ijGmd5b7Gw08bq3dAXxhjFkGDAHeaLSEeUJ8CpJ/YK3lkksuAdwIQrHTkyWrE3AasHHjxgExD3k6hg0bltTNkKxTGXLuRVKfvUV2CoH8QSorK50MWDHTpZHbY489En4jg5okhV7+QNJISCk36Zb4B4TlCtmvv3EQJHtXGjMvI0aMcPSTcyDRKy/i/xI/VLGGwTclujHVGLMw3h3pFF9WBazwbLMyvkxRlGZKY6Mb9wPXAzb+fhtwbkN2YIyZDEyG1LHkfOIdHu1FHEwTJkwAXI95sSktLXUGdInXXp6U8gQSyyhVrge4xXJSccghhwCuiVwM/IPrjj/++ITv27dv56KLLkrark+fPoD7xJYBcPK07d69u1OQJ5f07dsXcKuSi1z+QXIdOnRwivRKEeW//vWvSSXo/N8Bvv76ayBW0MirU6FplCVhrV1rra231kaBPxHrUgCsAnp6Nt07vizVPqZbawdbawf7TUpFUcJDoywJY0wPa60MfhgLSORjNvCYMeb3xByX/YC3myxlw+UD3JZ3ypQpgPsUltCSH2msZJhysZFSc/PmzXOyIqVE2e9//3vAzZd9qNwvAAAQVklEQVTI9JSRIr/+EGw0GnVyDlJRiHktrLUZQ8PiyPTjd+b5fRH5so7EQSpjSV599VUAjj32WMDN0M10XSQEn8p3UohcnGzI2EgYY2YCw4GuxpiVwDXAcGPMocS6G9XABQDW2kXGmL8Bi4E64KIwRjYURcmebKIbE1Is/nPA9r8BftMUoZqKv/WW7Ep5T/VU/Pzzz53xD2FIMAPXv9ChQwdHJrEghEyyvvLKK4A7mZBYUVLk5LPPPnMSmeRpLeNOqqqqnJBkPnnrrbc44ogjADfrU6IYMgLy9ddf59hjj01KppIkPDkP8kSWUK9EP3KNTIokxx02bBiQXQSisrLSsVZTlRv0jxotNuGSRlGU0NEq07K9tR+8T6BCnIvGVKYqLS1tcP9UahJIxEZyICSxR8ak3HTTTc4yeZdchX79+gUmVuUqLTvVeZd6EZJQtm7dOiZNmuTkF4jFID4BiWpIVTGpDdJYOfy6yBywEvES+cQyE7+XJKRdcMEFSfuXc37KKac4yWN+cjn0QCtTKYpSEFqUJSG5AOKt99daEL755hunRuIf/vAHIPYkuvbaaxskd2NobI3LTIilMWDAAG6//XanjyxPOn/ZfHlCe1OGGxrJyJUl8eyzz3LqqaemXOeNVqTav4yOffHFFwF45plnGiUDNGyAl1gU559/PuDeY5I5Knke//7v/+7o5p3KzzuVA7jRkFySK0vCCT8V8zVo0CCbDcSiKWlfkUjERiIR27FjR9uxY0d7ww032BtuuMGWlpba0tJSu2vXLrtr1y5bVVVlo9GojUaj1hhjjTEZ952rV7a6ZHqNGTPGjhkzxvk+cuRIO3LkSFtSUmLnzZuX9hzW1NTYmpqanOjd0OuT7lVWVubso66uztbV1dmjjz7aHn300bZ9+/a2ffv29vHHH7cTJ04syLXJRpeysjJbVlaWdG+tXbvWrl271vme6rfLli2zXbp0sV26dCmYPqmI/+8y/j+1u6EoSiAtprthjHHMK5nhW0ZAykAZL1JiPt2oynwhMjbWNJcwpZjhUmdCkq0GDx5MXV2d49gTM1gcedItycV19++jsTqVlJRw2mmnAcEFWSKRSNp6ErnAq09jdZG6FjLA64knnnCmLyg0ma5xtt2NFtNIgOvxluG7UvfQ3++LRqNO4yBe5mym6MsFTW0kBH88Xr7vvvvufPPNN86fKZ/Xt6mNhFyvfP7xG0IuGokwkatGQrsbiqIE0qJqXIpVILkBktcvXnuJbUej0aRaidB8pq2HZBnlu3/S2DATFgtCCUYtCUVRAmlRloSUopP6Af78iEw0BwtCUQqNWhKKogTSoiwJQSr6KIrSdNSSUBQlkGZlSbQkn0FL0kVoSTq1JF2ailoSiqIE0qwsiZaUBdeSdBGau06tLeMyW9SSUBQlEG0kFEUJRBsJRVEC0UZCUZRAtJFQFCUQbSQURQmkWYVA841MuLL77rsDsHz5cqeSk7yPGTMGcCtCCd7KWGEglS5ASn1S6QKaUKTE0EbCwwMPPADAL3/5SwB27NjhrJOqVlJ9WmpWyFyOYftDBekCifoUWhd/DkIkEgnNvJdKMtpIeJAp4h9//HEgcRJXKUH/1VdfAe4TOqwE6QKJ+hRKF5m0+OabbwbcyXX79evnDO+XKQYbi0zWI9cpjMyePZuZM2cCsSkOwX3oLF26tGhypUN9EoqiBKKWhAcxyfv165e0Tsxh/1T3YSVIFyi8Pl26dHEm9x0+fDjgdjuWLl3qdOOC2GuvvZzp/NKVvguzBSGcdtppSfLLudi2bZtTaTsTHTt2BPJfslAtCUVRAmn1loS04LNmzUo5P4I8cbOd+q7YGGPS6gKF10f8D9OmTWPevHkArFy5EoBx48YB8Oabb6b9vczDMXr06ITln376KQD7779/wnIpdizzk4QJOefjxo1zSiuKJXfppZcC7qTC4M7dUVNTA7gRq0IXPVZLQlGUQFq9JSGt8qBBg5ynkPCHP/zBmehH8IcLw4aNza2aUhcgpT751GXatGnO54kTJwKwZs0aAM455xwgtSXRq1cvwJ1k10///v2B2OTPEJuYF9zrEyZSlQc44ogjANfi8VoQwhtvvAFA586dE/ZTaNSSUBQlkBY1zV9jkCfVjh07kvZfX1/veN1zleyT76IzZWVlaXUBcqpPNkVnZGKkaDSalMkpfe758+c7loEgfXavb6Guro5169YBsUiHF+nT33HHHY1ThvwUnfHq3dB9iq4yz2s6qyodOs2foigFodX7JNavXw+kbuV37tzpPHGlXxj2cv3r169PqwtQcH28URT/k038CZ06deJ73/se4FoI/ujE+++/z+GHH86WLVsSlss+b7vtNqBplkQukNyFTZs2OcsaarVJrke3bt0Sfu+1ygpJxkbCGNMTeBjoBlhgurX2TmNMZ+AJoDdQDYyz1m40sTv0TmAU8C1wtrX2vfyI33RSpSTLxfDe1GFvHAS/Pql0gXDoI+NH9txzT3r06AG4M8ELIvdrr73GvHnznMZOGpEf/vCHADz11FMFkTkTqc6rv9HONBhQUsv9FCsMn013ow643Fo7ADgSuMgYMwCYBrxore0HvBj/DnAK0C/+mgzcn3OpFUUpGBktCWvtGmBN/PMWY8wSoAoYDQyPb/YQMBf4eXz5wzbWVL5pjKk0xvSI7yc0DB06NGnZ2LFjAZgwYQIAM2fOpHfv3gB88cUXBZOtMfj1SaULECp9xJm6YcMGxzknlo8gT+GpU6fSrVs3Jy1bnqrpBrAVi//8z/8EYMaMGUBMfpFNrIdOnTo53RHRo2fPngC8/fbbVFVVFVTmTDQoumGM6Q28AhwM1FhrK+PLDbDRWltpjPk7cLO19tX4uheBn1tr04Yvihnd8N6UcgN+8MEHABx//PEsXLgQgIEDByZs31jTL9/RDZEvlS5ASn2aqovQWJ28fyTJ7/A3Flu3bk3ZNRTZpfvRlIzSXEQ3RI/27dsDsHHjRn7yk58AsGTJEgAuuugiTj/9dCBZz6Yc20/BoxvGmN2A/wEusdbW+oSxxPwVWWOMmWyMmW+MmS/OQ0VRwkdW0Q1jTBmxBuJRa614iNZKN8IY0wNYF1++Cujp+fne8WUJWGunA9MhZkk0Uv4mI0+c8vJytm7dCsCJJ54IxLLghg0bBsBuu+0G4GwTVqLRaFpdgFDpIxWxTjrpJKe7Ic5MP34rQiwG2V5GvUouQaGdfAceeCAAH3/8MYAThSkrK0t6os+fP9+x5Pr27VtAKRtHRksi3pX4M7DEWvt7z6rZwFnxz2cBz3iWTzIxjgQ2h80foShKA7DWBr6AY4h1JRYCC+KvUUAXYlGNT4EXgM7x7Q1wL/AZ8CEwONMxBg0aZLMhLkdOX127drVdu3ZNebzhw4fn/Hj51EX0SadLrvXJ5fXZc8897Z577mmj0aiNRqO2b9++tm/fvknHkPXplpeWltrS0tIm65Ov6yOv8vJyW15entf7PBPx/13GNiCb6MarxP74qTgxxfYWuCjTfhVFaR602ozLQw45BIAFCxak3Wbu3LkFkqbpZNIn7LrIOAWpvfnyyy8DbjTm66+/5oQTTnDGe/gzL+V7c5no9+STT0653F+wOAzo2A1FUQJpUZaEeMhnz54NuNWYJVVWxiuAO54/zHj1CdIFmoc+2bBr1y7AvXZSV6K6uhpwk5QkGclbG9L7+7Dz7LPPplyeTa3PQtOiGomNGzcC7g0m+P9Q4A4uSkVYTNZU+qTSBdLrExZdGos0DhALd55xxhmAq5cMqAq6nmFDwqVewlweUbsbiqIE0qIsiYbw4IMPFluEnNLS9LEpUopTdSVkbIp0Q5oDtbW1ScvEURtG1JJQFCWQFm1JSMquv+jHpk2bnHXyxDLGOE+lQk160hCCdPGut9aGXpdsSDWQrlOnTo6fRq7bvffeC4TbkvCX7Vu1KmmUAt/97ncLKlNDUEtCUZRAWrQlIYk58vQdOXIkAJWVlc424i2///77nZoL0vI3ZRh1rslGF4jpk04XCLcX3UsqOSWxCly9whgy9OP3r7z++uvMmTMHcIf0SzJYGKeRVEtCUZRAWmRJfdlOhknLlHArVqwAivs09fpAssUYE2pdhHznZHTo0CFpaLt8z8UT2KtPPnXZuXOnYxlKkZoXX3wRgOOOOy5nx8n038626EyL7G7IyXnhhReKLElusNa2GF2agn+8BoTTPM9EeXm50whJ93Hw4MHFFCkQ7W4ozYbhw4c7n40xzTqbVIZhCx06dHAGr4UNbSQURQlEGwmlWVBSUsKrr75Kt27dnElrmgP7779/sUVoMtpIKIoSSIt0XCotD4niSHGa5sInn3xSbBGajFoSiqIE0qwsiTDkdOSKlqSL0JJ0akm6NBW1JBRFCUQbCUVRAtFGQlGUQLSRUBQlEG0kFEUJRBsJRVEC0UZCUZRAtJFQFCUQbSQURQkkFJWpjDHrgW+ADcWWpYF0pfnJDCp3IQmzzL2stXtk2igUjQSAMWa+tTa85XlS0BxlBpW7kDRHmf1od0NRlEC0kVAUJZAwNRLTiy1AI2iOMoPKXUiao8wJhMYnoShKOAmTJaEoSggpeiNhjBlpjPnYGLPMGDOt2PIEYYypNsZ8aIxZYIyZH1/W2Rgzxxjzafy9Uwjk/IsxZp0x5iPPspRymhh3xc//QmPMYSGS+VpjzKr4+V5gjBnlWXdlXOaPjTEjiiFzXI6expiXjTGLjTGLjDEXx5eH+nw3CKn/X4wXEAE+A/YFyoEPgAHFlCmDvNVAV9+yW4Fp8c/TgFtCIOcw4DDgo0xyAqOA5wADHAm8FSKZrwV+mmLbAfF7pQ3QJ34PRYokdw/gsPjnCuCTuHyhPt8NeRXbkhgCLLPWfm6t3Qk8DowuskwNZTTwUPzzQ8CYIsoCgLX2FeBr3+J0co4GHrYx3gQqjTE9CiOpSxqZ0zEaeNxau8Na+wWwjNi9VHCstWuste/FP28BlgBVhPx8N4RiNxJVwArP95XxZWHFAv9njHnXGDM5vqybtXZN/POXQFgnhUgnZ9ivwdS4Wf4XT1culDIbY3oDA4G3aL7nO4liNxLNjWOstYcBpwAXGWOGeVfamD0Z+nBRc5ETuB/oCxwKrAFuK6446THG7Ab8D3CJtbbWu64Zne+UFLuRWAX09HzfO74slFhrV8Xf1wGziJm4a8VcjL+HdWKIdHKG9hpYa9daa+uttVHgT7hdilDJbIwpI9ZAPGqtfSq+uNmd73QUu5F4B+hnjOljjCkHxgOziyxTSowxHYwxFfIZOBn4iJi8Z8U3Owt4pjgSZiSdnLOBSXGv+5HAZo+ZXFR8ffWxxM43xGQeb4xpY4zpA/QD3i60fBCLVgB/BpZYa3/vWdXszndaiu05Jebt/YSYh/qqYssTIOe+xDzqHwCLRFagC/Ai8CnwAtA5BLLOJGae7yLW5z0vnZzEvOz3xs//h8DgEMn817hMC4n9uXp4tr8qLvPHwClFPNfHEOtKLAQWxF+jwn6+G/LSjEtFUQIpdndDUZSQo42EoiiBaCOhKEog2kgoihKINhKKogSijYSiKIFoI6EoSiDaSCiKEsj/A+VZKSybyJupAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f34fa9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"21\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3458c18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"22\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3405f28>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"23\n"
]
},
{
"data": {
"image/png": 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oqMjRRz537do144xj2dLlRz/6kefvXJ6Z+/n78XxiyUqOS0VRWj7a3UiT+fPnZ+U67tWbjDGMHz8eiK7pKetnlJSUOOfI6969e50sTtI92bdvHxBdt0OO+73WaSKMMb4E94jekm9CViQT/UVfWSE+H1m4cKHnWqyiS7bWQUmGWhKKonjSai2J2NW5Adq3bw80vRXyq7WMxVrLyJEjgejKXbIq1BVXXAFEW6SJEyfy2muvOWuFylqTzzzzDAD33HMPAKNHjwZg2rRpzkrc//u//+u77G4dMuG4445jzZo1zpqf4pCV5yirgYku/fr1a/A53xD5YwmFQo5O+bAOLbSSRLiylJosCBwvNVpNTQ3FxcUAzmtBQYHzwC677DIAnnjiCSBq5stCvoWFhdTU1DiL4cpSdrHI/c50boAsbyce8F27dgFw2mmnMXjwYEdOWSrulFNOAeDdd98F4Ac/+IEjR1PN2tjfThDzHWIr89raWgDOPfdcAE499VQAfvvb3wLRJR5lNOjQoUMpX8utT7bnbrgrDdEh025Hsv+2JsJVFMUXWnR3Q1pzcc55JVcV6wGiTsN4NbG00LG1vDGGK664gnnz5vkgeXLEghALRxx2e/fu5dhjj3XMbElJP2HCBACGDh0aV/58xd0dBJxu1MGDB4FoN2vmzPDi9fk8e1OsT7GO3Mhz2rhxo7MvX3RRS0JRFE9ahU9C+nsyXJZqmXV1dY5VIa1AprL55ZMYN24cAK+88goARx11FBC2nn75y1/ywgsvAFGLQ/SIdw+aSpA+ia5dw4vRS2QihJ9HrMNPfBTSjxfH5nHHHdfgeCpkyydRUlLiWEDt2rUDolbviy++yODBgwE4+uijM7qO+iQURckKLdonIcRrPVNZ/MUd6JIPFpeb1atXA9EWT4ZES0tLeeihh5zzbrjhBgA+/vhjAF599dVsitlk3BaEICMWbmS4WoLMLr74YiA9CyLbuH0Se/bsaXDshz/8oWMV5gtqSSiK4kmLtCQk9DhRrAKkbhlI3IO02FJmt27dgGiwzpYtWxwPdTaItSQkaKpNmzZUVlY6YdcSVPTII48AUQsqX0c1/uu//ivhsdLSUqcVlr68WBDCunXrghPOJ7x+e3feeSc7d+7MojTJUUtCURRPWuTohjt2IRESsRjbJ0zElClTAFi7di0Q9QGccMIJACxZsiSlcvwa3ZC4jieffBKACy64AEgc7huEtz6I0Q0Z1fjqq68AWLBgAQA///nPMcYkvUYmMgQ1uuH1HxN/mTtOJxvXBR3dUBTFJ1qkT2LVqlVA2E8A0fh+6cd26NAhZQtCRji++eYbAN555x0A/vCHPwBw3XXXNTgvW0jcw+TJkwHo06cPEB7FiI1ShKh1tXnzZgB69+6dDTFTprS0FIhGx4qld+uttwIwa9YsjDHcdtttQOPRKXnW+YhEibpH2WQy4QMPPJATmdJBLQlFUbxJJX1V0FvQ6esqKipsRUVFg3L+8pe/2L/85S+eab+Kiop8T9WW6fcTbWPGjLFjxoyxZWVltq6uLuE9PHz4sD18+LDt0aOH7dGjR0bX9OueALaurs7W1dXZrVu32q1btzpldujQwXbo0MG+++67ca/52Wef2c8++8x26dLFdunSxTd9/Houxhhff8uZPJ9YNH2doii+0CJ9ErHIjEG3x/rCCy9scE59fb3Tz3WfZyMeYhmfl75kvvHXv/4VCOdPKCgocHwW8XSCaERjx44d82JcXnw6kjxGEuCIL0hGbWQUaezYsQAcf/zxQPQ55Rvx4lFknklzIaklYYyZZ4zZYYz5xLWv0hjzmjFmfeS1Q2S/McbMNsZ8boz5yBgzNEjhFUUJnlQsiT8CDwCPu/bNBF631t5ljJkZ+XwjcDYwILKNBB6OvOYUd1LZRMSby+FunWQW6I033gjA7bff7pN0/iDy79q1i8rKSifqdMeOHQC8+eabAJxzzjlANDGu5KHIFyTD1KhRo+IeFwtCnk2+WhBeSA6QeBQUFDSK88m1jkktCWvtX4FdMbvPBxZE3i8ALnDtfzziF3kbqDDGdPdLWEVRckAq3k2gL/CJ6/Me13sjn4GFwGjXsdeB4QnKnA6sAFb07t07qSc2Wx5h9xaEDEHpUlxcbIuLi50FeWKPl5SU2JKSEmcUQRaAKSkp8e3+5OKZBFV2EL+d448/3h5//PENzlu2bJldtmxZVu5VLKmObmTsuLTWyspQ6X5vLjAXwmHZmcrhJ/GcTfmSSiwRV199NRB2ANbV1TlJf9evXw9EdZJXcQQ+/vjjTnLcRx99FMjt8nIiV7yp3u4p1vn+POIhk+4g+hwkWEwoKSnhoosuAsLPJh9o6hDodulGRF53RPZvAXq5zjsqsk9RlOZKKuYGjbsb9wIzI+9nAvdE3p8DLCLcBRkFvJtK+fmyFmj37t1t9+7dbbt27Wy7du2stdF1GSWoJ9Nr+K1Lz549bc+ePW1tba2tra21W7ZssY899pgNhUI2FAo55yVaO7S6utoeOHDAHjhwwFlPM1Vdg3w+8YK93PKLPqWlpRmtZ5pIH7/0SFRm7L6JEyfaiRMn2rKyMmdfU9ebTfR8YvGtu2GM+RNwGtDJGLMZuBm4C/hvY8yVwFfARZHTXwYmAJ8DB4FpycpXFCW/SVpJWGsvTXDozDjnWuDqTIXKFZJQxrqGnCRlmgRk5Rtbt24FolPGR48ezaJFi/j9738P4EyIStSHd08tFz/A7t27A5M3VUQvWVynTZs2DXSQ9+ksvpMLrLVO8JQskCTD0RD1Tcg5MhlMvpsPaFi2oiietIqw7HSRRKTr1q3LWwtCkNbm8ssvB8Kp+y677DIn7FxGPWJbJUkgu3nzZoYPHw40bpWDWts0FSQATsK1RRYJGpMkQD169ACilke+MHHiRCBsnUpaw0mTJgHhpSFlpKNTp065ETANWmRmqmRUVlY6kXuykK611vlBSsVQUFDQwPzzA7nfQQ3hFRUVcfnll3P//fcDOOtvdOnSBYjmn5D9YgJD+nkvY387fuoklYFkbIpd9SqIXJ1ufZrjEGssyf7bmplKURRfaJWWRDJkpfB4GZ4yJWhLIlW81qVMlSAtiVyglkR81JJQFMUTdVzGIQgLIt/IxIJQWhdqSSiK4olWEoqieNKsuhv54GT1i5aki9CSdGpJumSKWhKKoniilYSiKJ40q+5GSxq7bkm6CM1dp9YWJ5EqakkoiuKJVhKKoniilYSiKJ40K59EPhFvTYRcTq1WmjebNm0CoFevXk4i4oqKilyK5KCWhKIonqgl4UHPnj0ZOHAgAC+99BIA27dvB2DZsmUAXHfddUB4RSy1IpRU+N73vseePXs8j0M08Y4kQZLV2LKNThWPQ+wya17I/ZMMRMmWZtMh0MyQP44ko5G1Qv7pn/4prizp/L6zOQQqeqSS1EjkircUZSrfS4ROFVcUxRe0uxGHprQi3//+94H8i/mXvJWSCbtdu3a5FCcpsfc+9n5Kyyv75fXKK68EojkxTz31VADeeOONwGRNF7FQ3bk6hb/97W8AjBw5skEGc8j94tRqSSiK4kmr90lIy1NTUxO3/Ng+cCw/+clPAHjuuedSul62fBKJnquf1w3CJ/Gb3/wGgPHjxwNw+umnp/Q9sZAk9aAkM04nkXHQPgkpv76+3pHXKxt7Iisq3jqpqXw/FvVJKIriC63SJ2GMcYYy161bB8C5557LwoULG5xXX1/vpHmLtSSkBUjVgsgm+WAdpsOQIUN45ZVXAOjWrVta35XnI/34WN+E+72skpVtPvjggwafCwsLPZ/ROeecE3f/hAkTgOhwfLZQS0JRFE9apU9i5cqVPPDAAwDMmzcPCPsexFqQ15qaGubMmQPA9OnTgaiHWlqudO9f0D6JWHlkZStZRSrIa6Wr05IlSwA488xGy8o2whjjGfY+bNgwINpqi6V34MCBlFfJCton0atXLwC+/vrrlOVwI6Mcs2bNSul6fvkkWlUlIU6wpUuXOs6fmpoaAEpLS50/vtsslWvKg5UH3dT7lg3HpVs20S+R49Wv60BynWTYT7KRezntmnp/YmWy1tKnTx8gvT9nroLdioqKHGe50LZtWyD9RavVcakoSlZoVY5Ld1CKWA3yWlRUFNexJbWxmOv5YHl50bdvX4wxlJWVATgL0+7evRuADh06ANFuU7qhvpkg65EGubivBI/JCmXGGGeGZb6EwodCoYROVLH8IBzqD+lbEH6jloSiKJ60Kkvi5JNPbrRPavSioqK4QSpr1qwBYPTo0cEK5xMbN26Ma+3ITMJcTjD79ttvG1zbHVotFs0vfvGLjK7htiAgbClt3rw5ozL9ZtGiRZx11llxj9XV1bF69WoATjjhhGyKlRC1JBRF8aRVWRLr168HwkNvV111FRANA3YPgYp3uba21vFZuINz4pGvWamkhU5n+nsQFBYWMnny5Ab7xIqrqKhw3ktwlMjt7rvv27fPybWQiEceeQSAW265BQhbKUEM/zYFkX3cuHGNjslvr6ioyPEn5QutqpKQmZpt2rRh1apVQDT+4e6773bMvMGDBwPhH6z8qZJF6914443cddddgcidCbmuHITa2tpG3b3S0lLnWCzigHTTvn17JyJz27ZtDY4dffTRAPzyl7/0RV4/EWfkpEmTgIa/JWlY+vfvD4QjgMeMGQPAW2+9lU0xE5K0u2GMmWeM2WGM+cS17xZjzBZjzKrINsF17LfGmM+NMWuNMT8MSnBFUbKEtdZzA8YAQ4FPXPtuAW6Ic+5A4EOgDdAP+AIIJbvGsGHDbCoAGW0TJ060EydOjHvsyJEjtkOHDrZDhw62pqbG1tTU2Pr6es/vALa8vNyWl5enLINfuqRyjSDuodd1kp0fCoVsKBSyW7ZssVu2bEnpGlOnTrVTp0619fX1trKyMlC9/CyvT58+tk+fPjYUCtmqqipbVVXllF1bW+ucd/fdd9u7777bHj582B4+fNhaa533Qf4OrLU28r9LWgck7W5Ya/9qjOmb7LwI5wNPW2urgS+NMZ8DI4C/p/j9QBD/w8MPPwyETe8TTzwRgE8+CRtIRUVF7Ny50zkOYfMw2QQumyd+iERmeD4hZnY8H4HkDJXoyH79+gHRZ9GmTRs2bNjQ6HuyT55DrrtVwsaNGxvtk3gH9yQ28X9JFOpzzz3HxIkTgWj35KmnngpS1KRkMrpxjTHmo0h3pENkX0/AHfu6ObJPUZRmSlMdlw8D/07YrPl34A/AFekUYIyZDkwH6N27dxPFiI+0RjNmzADg2muvBaIt2UcffcSQIUMAuPPOO4Gw4/K8884DcDJkeyGjHccccwwAH374oV/iNwmxIGI94/Hmo+QaifqUKNCioiLnfvbt27fBuc8//zwQnso/ePBgZ2q/OAPFYSnEjuYETWzMh8j1wgsvAHDBBRc457Zv3x5o+CxkstZDDz0EwNixY7nwwgsblJ1rmmRJWGu3W2vrrLX1wKOEuxQAW4BerlOPiuyLV8Zca+1wa+3wzp07N0UMRVGyQEqzQCM+iYXW2hMjn7tba6si768HRlprLzHGnAA8RbjS6AG8Dgyw1no2Y0HNAvXSLbasdu3asX//fiDaB5w8eXLSNHDp+iSy0Xd2yxSkJRGre7o6yezGXr16OZGtQmVlJRC1NiQO5eOPPwZwfEqxfPXVV0DUp5HO83Gfm64uso6G3G/RDaC8vByIzqNx8/777wPRaOApU6Y4fhaxmmTuSbok0z3VWaBJuxvGmD8BpwGdjDGbgZuB04wx/0i4u7ER+EVEqE+NMf8NrAZqgauTVRCKouQ3qYxuXBpn92Me5/8O+F0mQgVNjx49Gu07ePAgv/71rwG45JJLgHB/MlH0W76MasQiEYs333wzkF++iFjEKpAcHZA42avc70GDBjX4HIsEJWX7+XhFgsazIMS6OOmkkwD405/+BMCPf/xj51i8gLJcoHM3FEXxJpVgiqA3v4OpJGinvr7e1tfXxy1r7NixduzYsbagoMAWFBTYdevWNTqnU6dO1hhjjTG+ByD5VV6i8oO+jt/XkoAjeR6xx4uKiizgHK+trbW1tbXOteVZy7MvLS21paWlTdYn1d9YKlRXV9vq6mon8G7Hjh2Nzunfv7+sF2aFAAAPpElEQVTt379/g7L9fj6xpBpMpZaEoiietMgJXtIPj00Ca10jC6+99lqDfdI/du/bsWNHkxPeZpvYuABZpKa50L17d8/jEn8gesbOypVcFRJ38C//8i9Aw1EGP5HFdaZNmwbA/PnzE54rMzwl4lJGbiAaaen2HeWbH6lFVhKChGHfdtttgHeqtmOOOaZRRfCzn/0sa0E5mRI7ZCfJV1oao0aNirv/o48+AuBXv/oVEK1E2rZtG9dxmCl79+4FUl9hDOCzzz4DwsOkMqwpcorz9osvvvBTTF/Q7oaiKJ606JT6see7rQLRWybYuFteMVGDaIHcXR4/y3PTvn17JzAsSGKv7YdOYsaL/BJaf9999wHw4IMPAo3zRkhekLfffhuATz/9FEgvPNutT6q6yHlLly4F4NFHHwXgySefBGDXrl107NgxZRn8JNl/27dgquZMoh9x165dnWX+4hFE5RAU8ifYt28fEO7v5kPF31Skjy+Vw4ABA4CwWb506VJiQ/ilcnjssXDoTra7h3KvY7sduZ656Sfa3VAUxZMW3d3IR/zubuSSILobXhQWFjpWnnQTpXviB03pbuQzfnU31JJQFMWTFu2TUFoWtbW1TvLc5jI03RJQS0JRFE/UklCaFWpBZB+1JBRF8aRZWRL5MBLjFy1JF6El6dSSdMkUtSQURfGkWVkSLWnsuiXpIjR3nVpbnESqqCWhKIonWkkoiuKJVhKKoniilYSiKJ5oJaEoeUBBQQEFBQU888wzuRalEVpJKIriSbMaAlWUlsKiRYsAOPvss4HoIsqbNm1y8l7mS0JcrSTi8MYbbwAwcuRIZ9bhm2++CcAPfvCDXInVJNy6AM1en9gVviSeIXZOh6w2/uWXXzoZzyXjdj4glYPI9NJLLwHhFbzWr18PwJ///GcgmnRXdJTM4lVVVVmRVSuJOJx11llAOC19bECKfJbMx8cff3x2hUsTty7QOMDGWttsdIHon6qiogKILtQby7nnngvAsGHDmDp1KhCuUBJVKtmkoKDAWcLh3XffBeD88893jl111VVAdLFkQSwMqRyaumh12vIGWrqiKM0etSTiIKnRjDFOurTYhYOPO+64rMvVFNy6AHH1yWddErWWstCNIGnsvv76a6DhAr7Dhg0D4IQTTuD+++8H4Nprrw1GYA9EtltuuYUPP/wQgIsvvhiAE088EYBzzjmHOXPmAFE/xSmnnALgfEe6kFdeeWWDz0GhloSiKJ60KkuiX79+AJx55pnMnTsXiL+ql5y3YcMG1q5dC8Cxxx4LRFu2bKxr4YVbFyChPm5dgLj65FoXL2ItiN69ewOwceNGoLHjUvR3T6STtPxnn302PXr0CFzmRKxcuRIIp/+fN28eAC+88AIAq1evds5zO10BFi5cCECnTp0AHEvj5ptvBtSSUBQlx7QKS0JqYGlNIdoCyVh0KBRqNI27T58+Tt9WhgzFqy688847QHSIMWji6QIN9UmkC+CpT7Z1SYWHHnoICK+M9f777zsLAcdO5RYLQoZGhVAoRPv27YHwyMgrr7wStMgJcUdTyoiSWHpu5NnG6igjVNdffz2AMwoSNGpJKIriSauwJLxWfpax5379+jWquWXlZ4i2uIcOHQLCazxC9gN0kq1iHQqFkuoCDfXJlS6pcOmllwLwz//8zwDce++9nudPnjwZgP/5n/8B4JprruHw4cMBSpg6sj6otdbxJ9x6660pf/8f/uEfAHjvvfcAePHFF32WMD5qSSiK4kmrWOYvno7plrVjxw6ARgvWpltepunrEj0vP/VJV5emyuCF+IrcoxUXX3yx40uRkYITTjgBgMWLFwMwYsSIRjKl+hsPKn1dly5dgGik5JEjRxz9xF8i16utrXUWf3bHekB05XuJdRErOBFZW1XcGNMLeBzoClhgrrX2fmNMJfBnoC+wEbjIWrvbhLW9H5gAHAQut9a+n+w6+YoEHcX+mU466SQAVq1alXWZMiGePvmkiwQVxf5JrbU888wz3H777QCMGzcOgGXLlgFRHWLJh0ZwyJAhACxfvhwIdxnlDy7yzZw5E4AlS5Y4usUi3SaZv5ItUulu1AK/ttYOBEYBVxtjBgIzgdettQOA1yOfAc4GBkS26cDDvkutKEr2sNamtQEvAuOAtUD3yL7uwNrI+znApa7znfMSbcOGDbOpQNiSSXkrKSmxJSUlGZVTX19v6+vrG5Wxe/duu3v37rRlyqUuifTJVJemyuLeBg0aZAcNGmT3799v9+/f36jsadOm2UGDBmV0jXT0ybQsY4w1xjTYJ7pVV1c3us7ixYvt4sWL7d69e+3y5cvt8uXLfdUnHpH/XdL/fFqjG8aYvsBJwDtAV2utzFXdRrg7AtAT+Nr1tc2RfdmZ1+pCpthmQqzZK+PwiXwTQeGHLhBfn2zrEg/p6sRGjMrIy/z587MuUybEm3Mi/geJZQGYMmUKEJ4iDnDgwAEWLFiQTVGTkvLohjGmHHgWuM5au899zFUjpowxZroxZoUxZsU333yTzlcVRckmqZgbQBHwKjDDtS/vuxvplGVt1Oz2U4ZEMvmpS2x5qeqSqT5BlHXkyBF75MgRp1tUWVlpKysrG51fUVFhKyoqGp3frVs3261bt4z1aaoexcXFtri42B46dMgeOnQo7jmhUKjRvunTp9vp06c3kGHPnj12z549jc6N15Vpym8m1e5GUksiMlrxGLDGWnuf69BLwNTI+6mEfRWyf4oJMwrYa6PdEkVRmhvJahFgNOGa6SNgVWSbAHQkPKqxHlgCVEbON8CDwBfAx8DwZNfItiVRU1PjvC8rK7NlZWXWWmu3bNlit2zZ4qsMiWTyU5dYfVLVJVN9Mi0rFArZUChki4uLE8q3YcMGu2HDBjtw4MAGFkRtbW2DTSwJv/RJ97uxrfv27dvt9u3bG1gXqXw/HuXl5ba8vNy334zgm+PSWvt/hP/48TgzzvkWuDpZuYqiNA9a9NyNm266CYDf/e53QNTjbIxxRil27twJhC2qnj17Ou9jyfUCsl66AA30SaaL+3vZRJLuPvjggwBcfXW4LTl48CDbtm0DoFu3bg2+U1xcDMDs2bMZO3ask9PyqaeeAuCyyy4Dsq9P27ZtgWgUpeTnuOKKKwDo2rWrc65kB/PCPaozdOhQACfnhERY5gqdu6Eoijep9EmC3oLySaSzFRUVxe3LeXmpm7LlUhe/9Un3+Zxxxhn2jDPOcPwImzdvtps3b7Zez19GN6ZPn24BW1paaktLS21dXZ2tq6vz9b6lo4uMPMj9lFGWeOemMhoRjxkzZtgZM2b49nxiCSSYqiUzd+5cpk2b1mi/rFPRnEikC+RWH5ln0bFjRwC2b98OwHnnned0i2Ti0+effw5Ep+ZLer42bdoAUF5eniWp4yNreUg3TyZfSRo92V9cXOzMlxHd3Es1SCIZmZdx+umn8/bbbwPJJ3BlC+1uKIriSauYKh6vnFi96+vrGyW5lTBaP5Hr+qmLu1zIvi6xsiRDWk2Zrn7UUUc5ZcWGZQ8fPhwIp3R79tlnOeOMMzKS2Qu3Psl0kYVzYtMZenHRRRcB8NxzzzVKsyfp8xMtNtQUkv23U50qrpaEoiietEqfRLwatn///s4Q3eOPP55tkZpMc9SlsrISiPokamtrHT+FtKRiUUhyGSBQKyJdYhdrSgV3IlxJpS8Tu/IZtSQURfEmlSGQoLdcDIHKsJSE89511122urraVldX+3qd2C0IXWL1ybYu6ep08skn25NPPtkZCt25c6cdP368HT9+vOf3CgsLs6ZPsnMLCwttYWGhMxSbiAMHDgQqczrPJxbfJngpitK6aZU+iZqaGmecW7jxxhsbhNIKElcg4/X5hqTBd+uTSBfIrT4y7i/L1wm9evVyFqSRZfgk3sBN7IhALpGYB7mfEjb/0ksvAdGFjnIdz+ELqZgbQW/Z7m588MEHjdK4jRw5MqsmoJ+6xOqTbV2aqpN0kSoqKnJijnvpk2tZgng+sWjEpQezZs1ylos79dRTcyxNZsyaNQugWepjIyMzfsYGKP6jPglFUTxplRGXuUTud0vSRWjuOrn1ae66QOPnE4tGXCqK4gtaSSiK4olWEoqieNKsRjfywX/iFy1JF6El6dSSdMkUtSQURfFEKwlFUTzRSkJRFE+0klAUxROtJBRF8UQrCUVRPNFKQlEUT7SSUBTFE60kFEXxJC9mgRpjvgG+A77NtSxp0onmJzOo3Nkkn2XuY63tnOykvKgkAIwxK6y1w3MtRzo0R5lB5c4mzVHmWLS7oSiKJ1pJKIriST5VEnNzLUATaI4yg8qdTZqjzA3IG5+Eoij5ST5ZEoqi5CE5rySMMeONMWuNMZ8bY2bmWh4vjDEbjTEfG2NWGWNWRPZVGmNeM8asj7x2yAM55xljdhhjPnHtiyunCTM7cv8/MsYMzSOZbzHGbInc71XGmAmuY7+NyLzWGPPDXMgckaOXMWaZMWa1MeZTY8z/i+zP6/udFqkszhHUBoSAL4CjgWLgQ2BgLmVKIu9GoFPMvnuAmZH3M4G780DOMcBQ4JNkcgITgEWAAUYB7+SRzLcAN8Q5d2Dkt9IG6Bf5DYVyJHd3YGjkfTtgXUS+vL7f6Wy5tiRGAJ9bazdYa48ATwPn51imdDkfWBB5vwC4IIeyAGCt/SuwK2Z3IjnPBx63Yd4GKowx3bMjaZQEMififOBpa221tfZL4HPCv6WsY62tsta+H3m/H1gD9CTP73c65LqS6Al87fq8ObIvX7HAYmPMSmPM9Mi+rtbaqsj7bUD8RThzTyI58/0ZXBMxy+e5unJ5KbMxpi9wEvAOzfd+NyLXlURzY7S1dihwNnC1MWaM+6AN25N5P1zUXOQEHgb6A/8IVAF/yK04iTHGlAPPAtdZa/e5jzWj+x2XXFcSW4Bers9HRfblJdbaLZHXHcDzhE3c7WIuRl535E5CTxLJmbfPwFq73VpbZ62tBx4l2qXIK5mNMUWEK4gnrbXPRXY3u/udiFxXEu8BA4wx/YwxxcAlwEs5likuxpi2xph28h44C/iEsLxTI6dNBV7MjYRJSSTnS8CUiNd9FLDXZSbnlJi++o8J328Iy3yJMaaNMaYfMAB4N9vyQXi0AngMWGOtvc91qNnd74Tk2nNK2Nu7jrCH+qZcy+Mh59GEPeofAp+KrEBH4HVgPbAEqMwDWf9E2DyvIdznvTKRnIS97A9G7v/HwPA8kvmJiEwfEf5zdXedf1NE5rXA2Tm816MJdyU+AlZFtgn5fr/T2TTiUlEUT3Ld3VAUJc/RSkJRFE+0klAUxROtJBRF8UQrCUVRPNFKQlEUT7SSUBTFE60kFEXx5P8DILP9AaKUnNkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3409320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"24\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f33dcf60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"25\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f3393128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"26\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f336ccc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"27\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f331a0f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"28\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f331a3c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"29\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7f32f4320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(n_iter//n_print):\n",
" im = Image.open(out_dir+\"/%03d.png\"%i, \"r\")\n",
" plt.imshow(np.array(im))\n",
" print(i)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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