Skip to content

Instantly share code, notes, and snippets.

@xiangze
Last active February 4, 2018 18:22
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save xiangze/2d0cfac38f98936b0151fc44fa9d03b7 to your computer and use it in GitHub Desktop.
Save xiangze/2d0cfac38f98936b0151fc44fa9d03b7 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# WGAN"
]
},
{
"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": 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(28, 28), cmap='Greys_r')\n",
"\n",
" return fig"
]
},
{
"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 no 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 = \"WGANout\"\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",
"\n",
"(x_train, _), (x_test, _) = mnist(data_dir)\n",
"x_train_generator = generator(x_train, M)\n",
"x_ph = tf.placeholder(tf.float32, [M, 784])\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# seisei sikibetu -net"
]
},
{
"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": [
"# suitei1"
]
},
{
"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
},
"outputs": [],
"source": [
"optimizer = tf.train.AdamOptimizer()\n",
"optimizer_d = tf.train.AdamOptimizer()\n",
"\n",
"inference = ed.WGANInference(\n",
" data={x: x_ph}, discriminator=discriminative_network)\n",
"inference.initialize(\n",
" optimizer=optimizer, optimizer_d=optimizer_d,\n",
" n_iter=150000, n_print=5000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"150000/150000 [100%] ██████████████████████████████ Elapsed: 1558s | Gen Loss: -4.772 | Disc Loss: -0.377\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": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f3b935c2cc0>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c1bd56c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(lossvalue)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c191c4c18>"
]
},
"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 0x7f3c191c47b8>"
]
},
"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 0x7f3b9352ce80>"
]
},
"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 0x7f3b934ede48>"
]
},
"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 0x7f3b935f4e10>"
]
},
"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 0x7f3b9345be80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"6\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3b93413eb8>"
]
},
"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 0x7f3b933e0860>"
]
},
"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 0x7f3b933e07b8>"
]
},
"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 0x7f3b933b70f0>"
]
},
"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 0x7f3b93303908>"
]
},
"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 0x7f3b93303860>"
]
},
"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 0x7f3b932dbf60>"
]
},
"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 0x7f3b93292048>"
]
},
"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 0x7f3b9324afd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"15\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAD8CAYAAABkQFF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJztnXuUFNW18H9nmhmdEXkJjDiCEMQkqJHHBDFGg8aIqPERI5jEaPIRMSgrUUl8xJWXSZbo/fTzKj6T6BUFiYQkkBVNIlk+SAwgucFoROQdGAcQwZE3M8z5/uje1TU13dXP6qru2b+1enV3dXXVPlXd++yzzz57G2stiqIo6agKWwBFUaKNKglFUXxRJaEoii+qJBRF8UWVhKIovqiSUBTFl8CUhDHmPGPMKmPMGmPMrUGdR1GUYDFBxEkYY2LAO8DngM3Aa8CXrLVvFf1kiqIESlCWxBhgjbV2nbX2IDAXuDigcymKEiDdAjpuA7DJ9X4zcGq6nfv27WsHDx4ckCiKoqRiw4YNbN++3WTaLyglkRFjzBRgCsCgQYNYvnx5WKIoSpeksbExq/2CGm40AQNd749NbHOw1j5mrW201jb269cvIDEURSmUoJTEa8AwY8wQY0wNcAWwMKBzKYoSIIEMN6y1bcaYacCfgBjwuLX230GcS1GUYAnMJ2GtfQ54LqjjK4pSGjTiUlEUX1RJKIriiyoJRVF8CS1OIh+MyRj3EXkkDL6S2iKUe5vc7Sn3tkDn+5MvakkoShGpqamhpqaGuro66urqGD9+fFbfM8ZgjOGII44IWMLcUSWhKIovZTXcUJSo0a1b/C/061//GoCXXnoJgBdffBGAM844g2XLlgGwc+dO53snnXQSAAsWLADg3HPPBWDr1q3BC50jakkoiuJLl7ckTjnlFAAmTJjA9OnTARg7diwAa9euDU0upTw44YQTOjwfd9xxAFx99dUAfPOb36SlpaXT995//30AGhoaABg4ML7UacOGDYHKmw9qSSiK4ksgmalypbGx0WazVDyIaalYLAbAG2+8wUc/+lEA2tragPh487vf/S4A9957b1HOF9YUaBDTlaWYAj3zzDMBePnll1N+fueddwLwve99r+Bz5TMFWlUV72fHjBkDwKRJkwB44IEHAFi3bl2n7/Tv37+T7+HQoUNA0sdRDDL9txsbG1m+fHnGhqoloSiKL13eJyEafPjw4c426UXa29u55557AJg4cSKQ9FeUC+l6kyuvvBKAp59+upTi5MyMGTNSbpf7VgwLIh/kN9K3b18AZs+eDSQtge985ztpv3vZZZd12iYWaxRRS0JRFH+staE/Ro8ebbMBKMqjqqoqq/1WrFhRdBmK3ZZszxfEtQzq/rgfLS0ttqWlpSTnKsbxa2trbW1tre8+7e3tndpTV1dn6+rqSnLvhcT/LuP/Uy0JRVF86RI+idraWgD27NkDwGmnncbSpUszfm/EiBEsXBjPunf44YcDMG7cOCAZWRdVbARmrYqBxBHs2rUrZEmyY9++fRn3OXDggPN7Evbu3RuUSAWjloSiKL50CUti6NChAFx77bUAWVkRwo033ghAdXU1kIzCFO92uh5b5s/b29vzkLgw5Nyp2L59ewklKRy57l4uv/xyAObNm1dKcQqitbUVSB0L8cUvfhFIrgGJEmpJKIriS5ewJN58880Oz9kSi8X497/jSb7Fr+G1HGRseeDAgcgkLfGzXsqtxkmqdQ+Q+70sNb169QLi8vfo0QNIRvem4ne/+11J5MqHLqEkUnHLLbcAyWCdVH/qqqqqtMpBOHjwIBD/AUg4NySDfcJAzFo3shS53Ein8KK4EMrNBx984LwWRffVr34VgFmzZnX6vbl/O1FDhxuKovjSpSyJ3r17A7Bjx46s9m9vb884lSg9XZRyIqZyjL3wwgshSFI8tm3bRv/+/Z33cg/F0isHnnsuXobm7rvvZs2aNQA888wzYYqUFWpJKIriS5eyJFJZEFu2bEm7v9uvMGfOHAC+/OUvZ9w3SojPpNz5zGc+w8qVK5333mCkKNOzZ08gmWjGbXX+4he/AJKOy0svvTTv8xxzzDEAvPfee3kfIxVdQknU1NR02iZ/armwkMxNcNtttznbJIJOfpSScSiVczAKeFep+nnUywm3goDyiih1OzHTcckllwDxuBD5ve7evRuIz5xBZsXY3NwMFP/a6HBDURRfuoQlIVF77mkmcYKJ1m1qauLxxx8H4Prrrwdg5syZzv6y34cffghE12H297//vcP7YmY6CoN0wzi/qNIoka2c4gDv3r07b731FpC0ILz3NB1BWVflcaUVRQmN8u5msuTRRx8FktmnVq9e3Wmfuro6Jx+hOJPcfOUrXwFg7ty5QYlZECNGjMjre8aYSI7vZVzu7Ym9uS6vu+46AB566KHSCJYjMu3p5tChQ067unfvDnRcBfqxj30MSAb6TZ06NeWxxQEqvopsVqDmg1oSiqL4UtGWhPRGmzdvBvxzEtTX1zs+C5mqWrBggaPFJa+Et9d1T2eF0SNLm6RHErZt25bV96NoRUByPO5l1KhRQNLX8sgjj5RMpnxIVQvUPeNUV1cHdLQkxO8lVpKX008/HYDf//73AJx44olAMt/mpk2bChW7AxWpJOQmHH/88QDcfvvtgH8sQ48ePRzlcNVVVwHxZdWyFFkS1ni5+eabgXg8vkxBlRKvchDq6+tLLElx8LbHXd5g6dKlzhSvdACyxPq1114Dyq+gkpQM+M1vfuNsk6HIXXfdBcBNN93U4Tve6F4ZbgSVlkCHG4qi+FKRloRYDLL6TiwLP0ti9erVXHDBBQBcc801QDwIJpM5fvTRRwOEYkWkQ1YbliMSQPTpT38agL/97W9A3AR3B4qJ1SeWx/79+wE466yzAFiyZElpBM7AH//4R84777y0n8+fP7/D+/vvv9/Z9oUvfCHld+Q3KZaDDDfEmio2akkoiuJLQZaEMWYDsAs4BLRZaxuNMX2AXwGDgQ3ARGvtznTHCBIp7y5OocWLF6fdt7Gx0bEGsklKKg6nKFkQQtQL7mSDWBBiBR555JH89Kc/5b777gOSFoQ4OA877DAgGXgUlVW5EyZMyMna/Na3vsXkyZOBuOMcksF9y5YtA3As3k984hNA8lplE/6dD8WwJM6y1o6w1jYm3t8K/MVaOwz4S+K9oijlSjbFOdI9iFsKfT3bVgEDEq8HAKsyHSeo4jzz58+38+fPd76/du1au3bt2rSFTCZOnGgnTpyY1bEHDRpkBw0alHfBlFy/l+l4wtSpU4ta4CWXc5fiHEGeM+i2yG+mWO3p2bOn7dmzZ97XrlTFeSzwZ2PMP4wxUxLb6q21YldtAVLOxRljphhjlhtjlhd7aauiKEUkG02S7gE0JJ77A68DZwIfePbZmek4QVkSsVjMxmIx297e3qG0Wu/eve2kSZPspEmT7Pr16+369euttdYeOnTIHjp0qCS9b7GON3LkSDty5EjnuMOGDQtU/lRtKXabANva2mpbW1vT/hYOHjxoDx48GFh7grxumcoABnV/vJTEkrDWNiWetwG/BcYAW40xAwASz9mF/imKEk2y0SSpHsARwJGu168C5wH/Bdya2H4rcHemY5W6YHAuDykAK1bGihUr7IoVKwrW7kHKXF1dHUpPFcb9Cao9YcsSxP3xkq0lUcgUaD3w28RUUzdgjrX2j8aY14BnjTGTgY3AxALOoShKyOStJKy164BTUmx/H/hsIUJFCW/6uqimrXNTDjIq5YNGXCqK4ktFrt0IgnLqnauqqkIpVKxUJmpJKIriiyqJCkStCKWYqJJQFMWXsvJJ2IimWsuHSmqLUEltqqS2FIpaEoqi+KJKQlEUX8pquBGVRCKFIGZsJbVFKEabJAmsHNt7DklCI0V4pZKaFH72fs/9/UxTw+59K/H+5ItaEoqi+FJWloRSGUgvLfVYu3Xr5tSMGDp0KJCs1LVzZzzzoSw2kmTGsn3Hjh1Zn1enhvNDLQlFUXxRS0IpOTJW3rp1KxC3LCRJ7MqVKwE4ePBgyu+KT0IS4UoFM7USgkMtCUVRfFFLQgkN8U3U1tY6hWikfJ/4JDZs2ADErQ9jjPMdKbsoFoRsl+dsLQvZv5TBU8YY+vXrB/jXbPWmJ/ArLhUkqiQqFKmh6S5OC9GY2pNpzkGDBgFw5ZVXMnLkSCBe8Qpg3bp1QPppVhluVFdXA8k/kBTbzRY5vhQgLgUHDhxwzicFkFesWNFpP6lKFjY63FAUxZeKtiSGDBkCwBtvvAHAEUccUfAxpQcIy/TLRCaz2fv5+vXrGT58OBB8zyWBT9/73vcA+MMf/gDAAw884FxXyQSWrh2yXRyWUh1r/PjxADz11FOdvp/NkKIUFtY777wDJK0fgH/+859AsiZoTU0NF110UeCy5IJaEoqi+FKRloQ3L2U2VFVVOdNufuNTGetHYWzvJl/H25AhQ0oyHo/FYowbNw5IXt///Oc/QHyMLtXEc7XQJJhKKneLQ/PXv/51Vt8X/4g4TINArIVhw4Z1+kyckmPGjAHgox/9aGBy5EtFKYkbbrgByE05uP/sbjNQPvN6yeXHHBVEOcifq7q6mvPOO4/nnnsu62Mce+yxALz99ttFl8/taPz4xz8OJAvcfu5znwPiprYU/vUif+LDDjuM/fv3d1KGq1atAuC4444D4MILLwRI2f79+/c7xzvyyCOBpHJ4//3382leRo4++mhGjBiR9vMglVOx0OGGoii+VJQlcffdd/t+PmnSJACeffbZrI6XyoQ/8cQTcxcsAJYuXdrhvUx1iuUj5eofeOABINkjpyIIC0LkkWvY1tbGggULABzHnAwVUlkRXmdjKisC4OyzzwZg9erVHbbLuSZPnuxYCcYYx1qcNm0aAA8++CCQ+zDHK5+8F2f5n//8ZwAaGhrKfuWvWhKKovhSMZaEn5Z+6623gOwtCCFV7/KTn/wEgKuvvjqnYxUbcXSlY9asWUCyp0xHUL2b15dz8OBBJ7pQenkZj1trnelpcTqL5ZOulIHI/dprrwHwyCOPAEn/ijgwd+7c6Ryzvb3deS3BWmLFFHod5PviIxFLqqWlhbPOOguAV199tSjnKjVqSSiK4ktFWRKSY0DyFAiNjY05Hcu7HsBN2BaE4Bcg1NbW5vSoXmR/Px9FEMRiMccy27RpE5C01Kqqqjj33HOBZMDb7NmzfY83efLkDu9vuukmIGl5SPvS+RqeeeYZwP9e++G97nKc448/HkjOssybN8+xoJYtWwbAqaeeygcffJDT+cJELQlFUXypGEuivb3dCdGV3kN6BxmHZqJS0qh369aNJUuWpPysVBaE16PvXmjm9TPU1tby8MMPA8l79/TTT3c6ZnV1tdOuk08+GUgGKHnzT2SarfD6TIp17zdu3AjARz7yESDuE5G2X3zxxUDcbyGzIGPHjgVIe7+igFoSiqL4UjGWBHRe9iu9hUTX5bqM2O8cUfFQe+UQ+SSbdBiypOqV9+7dm7a33rNnD2+++SaQnAEQi0fuYW1tLb169eKOO+4A4mN9gMsuuwyAe++9t1jNKArTp093XstMS11dnbNN/GdCS0sLAL169SqBdLmhloSiKL5UlCUheMebsqw4W9zZjdJZDJL0JGprOcIklaWQbeYniQw96aSTAFi4cCEAn/zkJwFobm5mxIgR/P73vwfgzjvvBOCvf/1rTucJA/mteH1lbsTy69mzp+Oz2bt3b4kk9EctCUVRfKlISyIdufoRqqqq0vZMixcvBnDSrimpSVeJy4skZJHrun37diC5VsYbF/HLX/4SgIEDBwLxVaIQXso3WRMisy1ivW7atMlp+4QJEwB4/vnnO/0WxSLavXt3B99FFFBLQlEUX0wUxnCNjY12+fLlGfcLY0Yh0/XJN1Kv2G3J9j7+7ne/A+DSSy8t+jlTtckdl+GXwVp6Yhmby/hdkvxIzywzVTNnzgTghz/8IZCsBVqIJVFILdA+ffoA/hXFxEKQ2Q5IJv4VKyMV3tgWuY4Sneo+nptMv4nGxkaWL1+esaEZLQljzOPGmG3GmDdd2/oYY14wxqxOPPdObDfGmPuNMWuMMf8yxozKdHxFUaJNNj6J/wFmArNc224F/mKtnWGMuTXx/hZgAjAs8TgVeDjxXHFEpWJUqt5iwIABnapsCxL1V2r69+/vrGFIde2kFugTTzwBJNO4uVO+GWNoaGgAcFZWyspeWQ9SasTi8MY9pEJmK6SGCPhbEIJEbMqzzH5kG0lcKBktCWvtK4DXhroYeDLx+kngEtf2WTbOEqCXMWZAsYRVFKX05Du7UW+tbU683gLUJ143AG6VvjmxrRkPxpgpwBRIFmmJGt5sR268RW+ihFgRqZAeTMb6QSfBlfH0iBEjeOWVV4DO8/9VVVVceeWVAJx55plAMgJR1kC88847GGMcn8Ppp58OwNe//nUA/vSnP6U8v9u3EIT/LZ9jTpkyhe9+97spP4vFYs5MjVwnsRy8SZilCpjUVA2Kgn8h1lprjMn5SllrHwMeg7jjslA5gkCW/bqJyjAjnWMtW4dbqZScOCKnT5/uONhkmlOw1jrJccQh6TWlq6qqOPLII9m8eTMA9913HxBfdg3J5DOSmdqtKKWt8icLm/fee48TTjgBSK1k5DfmvUfefYNWDkK+U6BbZRiReJaChk3AQNd+xya2KYpSpuRrSSwErgZmJJ4XuLZPM8bMJe6wbHENSyoCMQXDRhK5erHWsnnz5rRJZwRJax80MpW5YsUKLr/8ciBZ8mDRokVAXOZsQpBnzJjBXXfdBcDUqVOB5HBGHJ/eoZa1NjIWhFgGMg2dab90lDpsIaOSMMY8A4wD+hpjNgM/JK4cnjXGTAY2AhMTuz8HnA+sAfYCXw9AZkVRSogGU6VAHEWpnHqFylCsYCpZUpzN1FsqinEtswmmkms4cOBAJ4BL0v3fdtttQLzaViZfz9ChQ1m5cqVjOXinA6XOaCE1WgsJpsoGCRjzJsjxylCsxEAlC6ZSFKVr06UWeLmJggVVCLkmUk3nMQ8a8Qc0NTU5gVISnvzjH/8YiKfBl9qdUh9UkB69tbWV+vp6p5eVhMRSBCeqVd7diNWza9cuJ7xcCCtBcTZUlJLINqfAt771rZyPfdppp+UlU9BIm6V+hLe2ZI8ePYDcc2oUijez1MGDBx0zW3JBPP/880A8GnP8+PFAsh3NzXF/99q1a4FknQzh5z//OZBsr/d8UaZHjx6O3HJ/opyXJHpqS1GUSKGOyxITtRyZhZCN4zKbiEdjjON49NbbEKvPuzZDhk2ZKn3lQtCOy1KjjktFUUpCRfkklOiRjaXqDnj62c9+BkDv3r0BnDBsLxKQVUxLQkmNKgklEnj/5FKsxmv2y/tyclSWOzrcUBTFl7KyJKLgZC0WldQWoZLaVEltKRS1JBRF8UWVhKIovpTVcKOS5q4rqS1Cubepq8VJZItaEoqi+KJKQlEUX1RJKJHGGIMxhj179jjFaJTSUlY+iSA45ZRTgHj9g+nTpwMwduxYILkCUQkPdyXulpYWJ3GLTlGWDrUkFEXxpctaEhLW+5nPfAZI5jgAWLNmjfN61Kh4pUJJ1V4ODBo0iI0bN6b8TBLOlovpLvklDj/8cGKxmBOG/aMf/QhIJq6pJM444wwAXn75ZSAZei6Jho4++migdCUCuqySkAsv9R6++c1vOqXl3IVrpJxcmEpi0KBBdO/eHYCVK1cC/ua2N7uTm6iVtU+HTEHKQi5BspVLAhtZMl4Oman8kE6rT58+TulCucd33HEHAE8+GS+aV+rs3zrcUBTFF00643Me9wrDpUuXAkmnZr6UIphq48aNaUsnfvjhh0CyslYhBBlM5T12a2trp9R8xSbMYCqpQNbY2Ohs2759OwAnnngigFNwOVs06YyiKCWhS/okqqqqfPMQiAZ+/fXXnSlSqTlZDvTv3z/tZ8WwIIJEEtx6SVcQuFJwWxCC+GNytSCKjVoSiqL40iUsCUmyKlWtTzvtNMfH4MeIESNYuHAhkNTq48aNA+Cll14qvqBFora2tmyDjb7xjW+k3P75z3++xJKEj7c2R1ioJaEoii9dwpIYOnQoANdeey1AVlaEcOONNwLJOo4Sqp2pEFCYORi/+MUvlvycUaVXr1688sorQNyCFGsyytx///1hi9ABnQL1IRaLOT8qGbJ4r5cMQw4cONDhs3RBPqWYAm1vb0+bQLaYBDEFmumY2VZpE3bs2OFk3q6urvYNRApjCrSlpQVIVvLSgsGKopQdXWK4kYpbbrkFgBkzZgCpe46qqqq0FoTgDg9291JhhglXQlaldMj9kDUo6fj+978PJOt3QOnDmf2QEgLdusX/gvL7kmFtlFBLQlEUX7qUJSG9yo4dO7Lav729PeO4ThyTUem958yZk3J72MVsjDG+13LMmDEZj3HMMcfw7rvvOscDePHFFwE488wzO2x3E7UCPqmuQ7H8EEEQXckURYkEXcqSSGVBbNmyJe3+br+C9NBf/vKXM+4bJldccUXK7d5Zmqhx9913Z9wnlZXwi1/8AkjmBUmFLJBS8sRaG/pj9OjRNhuAvB41NTW2pqamw7Ha2tpsW1ubNcZYY4wF7J133mnvvPPODt/dt2+f3bdvn/O96upqW11dnbcshbYl02PixIkd2nnZZZfZyy67LJBzFev+AHb37t129+7dzrF27dpld+3a5dyf6upqu379+g73KxuZcpGrWG1J95DfTjF/27ncHy+J/13G/2fG4YYx5nFjzDZjzJuubT8yxjQZY1YkHue7PrvNGLPGGLPKGDM+0/EVRYk22Qw3/geYCczybP9/1tr/695gjBkOXAGcCBwDLDLGnGCtDdUWl2kl9xSYrJS0CSdSU1MTjz/+OADXX389ADNnznT2l/0kH0NUzfZf/epXHd5LliMJ7ooiZ599dqd0epKJy+t0lCnnfv36AcmUboI3F4gxxgl4279/f5Elzw2R3U1UHN5+ZFQS1tpXjDGDszzexcBca+0BYL0xZg0wBvh73hIWgUcffRSA4cOHA7B69epO+9TV1bFu3TogOc5185WvfAWAuXPnBiVmQVx55ZUpt0dZOQg33HBD1vuKor/nnnsAmDx5csr93H8+CXOeMmVKviIWRCp/VdRmXPwoZHZjmjHmX4nhiESsNACbXPtsTmxTFKVMyXd242HgJ8QdJD8B7gH+Ty4HMMZMAaYAaVOtFYqkO9u8eTMAu3btSrtvfX2900u9//77ACxYsICpU6cCOEvGZdghuHss72el5KmnnurwvhzMWEGSDWfisMMOcyIV0yHJYt08/PDDeclVDNL9JsrBwhPysiSstVuttYeste3Az4kPKQCagIGuXY9NbEt1jMestY3W2kYZXyqKEj3ysiSMMQOstc2Jt5cCMvOxEJhjjLmXuONyGLCsYClzRLT08ccfD8Dtt98O+Mcy9OjRw7EgrrrqKiCeiHTevHkAaZcY33zzzQDMmjWL5ubmlPsEyaZNmzptS2VFSKTiMcccE7hMubJkyRLOOeccIHmPvHKmS+F28sknAzB//nwAhg0b1mmfqNVMKScrD7JQEsaYZ4BxQF9jzGbgh8A4Y8wI4sONDcC1ANbafxtjngXeAtqA68Oe2VAUpTCymd34UorNv/TZ/2fAzwoRqlCkN5K1+tkUcFm9ejUXXHABANdccw0Qn17L5GeQakphWBEAxx57bFb7DRgwAEh61aO0VuCiiy5yLDVZgyFTzemmLYcMGQLErRDoXMRHePvtt4sqa7akmiErV6LzS1EUJZJU9NqNk046CUjmHli8eHHafRsbGx1rIFOuAkiWywvLgvDDz/qR8bD4UrJZMxE0+/btcywbsXj27dvXYZ+2tjZaW1udIDb5XCwPiYX5xCc+ASRT1L/++usBS58a8bG4KTdfhKCWhKIovlR0jkvxeH/hC18AcCIqJTGuG2stkyZNApKhzH5IbIdfcd5UyPUutFd59dVXgXhy13wQOWKxWN7xHX4xI14yFUTKdOwePXqwbt06J3xbVuWmS8GfD+5zFqvXt9Z2KnJcKjLd12xzXFa0khCHpQTgyPf79OnDueeeCyTT1w0ePNj5EQcZ6FIsJeE9Xibq6+sB2L17N5DdkCrXc/u1qaGhwVHSZ5xxBgDLlmWeHS9l1fAglEQsFgstjUCxlIQONxRF8aWiHZeiwVNN90lNTJlCvPHGG7nvvvsyHlNWlGYKDy4V3h7P23v07dsXSIaah0VTU5NjdueCtxcOOw1frkQlGVEhVLSS8OOxxx7r8JwO8aaLmf7GG28A8RKAUaRcPejZUi7KoZLQ4YaiKL50WUsiW2Q+XiL6ojLMUJRSoZaEoii+qCWRJWpBKF0VtSQURfFFlYSiKL6oklAUxZey8klEIYS8WFRSW4RKalMltaVQ1JJQFMWXsrIkKiGasNgLvMIklwVe5UAQC7zCpFjWkFoSiqL4okpCURRfVEkoiuKLKglFUXxRJaEoii+qJBRF8UWVhIvrrruO6667LmwxikIltUUJl7KKkwiahx56KGwRikYltaUrIDEN+/bto3///kAyG1rYqJJQlAhRW1vLli1bAOjevXvI0sTR4YaiKL6oJVEkampq6NevH01NTWGLUjA1NTUAgbdHii1Lz+k+9+mnnw7Aiy++GNj5o4S7kPP69etDlqYjakkoiuJLl7UkvItfjjrqKHbs2JHzcXbu3AlAr169gGSv+NnPfhaATZs2AbBr1668Zc0Gd3uK1Rbo2J5it2XNmjUAvPvuu3z44YcAXHrppUU5h4znFy1axNixYws6VpBI4Wl3bZglS5aEJU5K1JJQFMWXirAkamtr6dGjB++99x6QuYDLXXfd1Wnb6NGjeeGFF7I+pywldve6TU1N/PjHPwbg6aefBmDUqFFZHxOSxYCybU9QbYHO7cm1LenwVlQbNmyY89pbgFksmQEDBjB+/Hjmzp0LJH0X0hMLqZbiH3fccQBs3LixGOLnjNxTKc/gZs+ePZ22XXPNNYHLlAtqSSiK4o+1NvTH6NGjbTYAKR933HGHbWhoSPu595HLsdM9mpubbXNzs/P9xYsXd/i8rq7O1tXVpT23X1tyaU8qr0yvAAAJcElEQVRQbUnVnkznzvZ8TzzxhH3iiSdse3u7bW9vz+reF8K2bdvstm3bcrqWuV5Dv8c555xjzznnnKzu39SpU4t23kwk/ncZ/59qSSiK4ktZ+yRisRgAixcvZuvWrRn3l4rgbnJNUyb7v/322wAMHToUgL1793bYz/s+E+62ABnbk6otbvmyxRiTsS3ptuXK6NGjAbjoooucc2dLc3MzRx99tDOG/+c//wnAGWec4fu99vZ2Bg8enIe0xWPRokWdtrljQ9w8/PDDQYuTMxmVhDFmIDALqCduxjxmrf1vY0wf4FfAYGADMNFau9PE7/x/A+cDe4GvWWv/Nwjhpaz7okWLssrnd/DgwYLPOXXqVADOP/98ILUzKh/cbQEytqcYbYF4e4rdllRUVVXx4IMPAjBp0iTn3AAXXnihM2X7wQcfAPDkk08CMGPGjKyOn+561dTUONc2Shx11FFhi5A12Qw32oDp1trhwFjgemPMcOBW4C/W2mHAXxLvASYAwxKPKUD0VKOiKFmT0ZKw1jYDzYnXu4wxK4EG4GJgXGK3J4GXgFsS22clnD9LjDG9jDEDEscJhGysCC9/+9vf8jqXmIO9e/cGit/75tMWKKw9QbUFkkOKfv368aUvfQmAmTNnAsnetL6+3rEgik0UrQiAbt3if713330XyH2qvJTk5JMwxgwGRgJLgXrXH38L8eEIxBXIJtfXNie2BaYk8kHm2/2oq6vjueeeA2DcuHFA8k8cdARlrmRqj8QTpGpPkG2R69XS0uL4WS655BIg6YfZv39/wcf38oMf/CDvYwbNoEGDnNcDBgwAMvugwiTr2Q1jTHdgPnCDtfZD92euKaOsMcZMMcYsN8Ysl6AhRVEiSDbzpEA18CfgJte2VcCAxOsBwKrE60eBL6XaL92j0DiJTI+TTz7Znnzyyb7Hbm9vTznPPHv2bDt79uxOn82bN8/OmzfPVlVV2aqqqpznrsNoS7r2FNqWQtuUz2P//v12//79Rf2tlKot3/72t0ty7TJRtDiJxGzFL4GV1tp7XR8tBK5OvL4aWODafpWJMxZosQH6IxRFCZhMWgT4NHHN9C9gReJxPnAU8VmN1cAioE9ifwM8CKwF3gAaM50jaEuiurraVldXOxF+n/rUp+ycOXPsnDlzOhy/qanJNjU12VWrVtlVq1ZZa609dOiQPXTokHOsadOm2WnTptm2tjbb1tZmY7GYjcViOWv3YrYlVXtStSVdewptS6FtyuWRidbWVtva2lrwsYNsQ1tbW0muXSaytSSymd34K/E/fio+m2J/C1yf6biKopQHZR1xmS2tra1Ax9WHr776KpCMAhw2bBgNDQ0AjsfcWtspslGCfm69NR4WUuoptlRtgY7tSdcW6BypuWPHjtDakiuXX3552s9kpWy6SNQoIbM6UB6FiXXthqIovnQJS8KPU089FYDBgwc7Wl2eFy9e7ORYEAtizpw5IUiZPaeeemratgBl1x43s2fP7rTta1/7GpAM444yYs2VG11eSbS0tACwYsUKZ9spp5wCwBFHHOEEuUgKtH/84x8lljA3Wlpa0rYFKLv2uEk1lHj22WdDkCQ3Ui0wK4dhhqDDDUVRfOnyloTbBBTtLusgXn75ZUaOHAkkk7ZGHWlPqrYAZdeedMjS9XLokb0p8s8666yQJMkPtSQURfGly1sSbqQXlnTssVjMmXIU30W5kKotQNm2x5sMWKZ4i5EMJ0hSOStfeuml0gtSAGpJKIrii1oSPhw6dKhT0FK5IoFS5dYe71SuEFT+iWKRKjAtaukFsqW8fjGKopQctSSUSFMOYdapSOWL6NmzZwiSFI4qCSXSHDhwIGwR8qJ///4A9O3bl3feeSdkaQpDlYQSaW6++WYgnjW7vr6e7du3hyxRdkjYez6Fm6OG+iQURfHFRGHRSWNjo12+fHnG/cohui4T3ojIcsb72yn3NqWKvi1nMv23GxsbWb58ecaGqiWhKIovqiQURfFFlYSiKL6U1exGFPwnxaKS2iJUUpsqqS2FopaEoii+qJJQFMUXVRKKoviiSkJRFF9USSiK4osqCUVRfFEloSiKL6okFEXxRZWEoii+RGIVqDHmPWAPUB7JApL0pfxkBpW7lERZ5uOstf0y7RQJJQFgjFlurW0MW45cKEeZQeUuJeUosxcdbiiK4osqCUVRfImSkngsbAHyoBxlBpW7lJSjzB2IjE9CUZRoEiVLQlGUCBK6kjDGnGeMWWWMWWOMuTVsefwwxmwwxrxhjFlhjFme2NbHGPOCMWZ14rl3BOR83BizzRjzpmtbSjlNnPsT1/9fxphREZL5R8aYpsT1XmGMOd/12W0JmVcZY8aHIXNCjoHGmBeNMW8ZY/5tjPl2Ynukr3dOWGtDewAxYC3wEaAGeB0YHqZMGeTdAPT1bLsbuDXx+lbgrgjIeSYwCngzk5zA+cDzgAHGAksjJPOPgO+k2Hd44rdyGDAk8RuKhST3AGBU4vWRwDsJ+SJ9vXN5hG1JjAHWWGvXWWsPAnOBi0OWKVcuBp5MvH4SuCREWQCw1r4CeKvCpJPzYmCWjbME6GWMGVAaSZOkkTkdFwNzrbUHrLXrgTXEf0slx1rbbK3938TrXcBKoIGIX+9cCFtJNACbXO83J7ZFFQv82RjzD2PMlMS2emttc+L1FqA+HNEykk7OqN+DaQmz/HHXUC6SMhtjBgMjgaWU7/XuRNhKotz4tLV2FDABuN4Yc6b7Qxu3JyM/XVQucgIPA0OBEUAzcE+44qTHGNMdmA/cYK390P1ZGV3vlIStJJqAga73xya2RRJrbVPieRvwW+Im7lYxFxPP28KT0Jd0ckb2Hlhrt1prD1lr24GfkxxSREpmY0w1cQUx21r7m8Tmsrve6QhbSbwGDDPGDDHG1ABXAAtDliklxpgjjDFHymvgXOBN4vJendjtamBBOBJmJJ2cC4GrEl73sUCLy0wOFc9Y/VLi1xviMl9hjDnMGDMEGAYsK7V8EJ+tAH4JrLTW3uv6qOyud1rC9pwS9/a+Q9xDfXvY8vjI+RHiHvXXgX+LrMBRwF+A1cAioE8EZH2GuHneSnzMOzmdnMS97A8mrv8bQGOEZH4qIdO/iP+5Brj2vz0h8ypgQojX+tPEhxL/AlYkHudH/Xrn8tCIS0VRfAl7uKEoSsRRJaEoii+qJBRF8UWVhKIovqiSUBTFF1USiqL4okpCURRfVEkoiuLL/wduBpTmdK74zQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3b9327f208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"16\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAD8CAYAAABkQFF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJztnXmYVNWVwH+3q4FeZQcBAZHAKC5jY4N+kcm0jnHBRESIa4hEXMZodD4VBzQzMvFL4hKN4xiNuCU4iuJCcIy7MfJpXIJBFAkGxFZsoVkEGoHe7/xRdV69rq56tb1XVd19ft9XX1W9uu+9c957de+55557rrHWoiiKkoiifAugKEpho5WEoiieaCWhKIonWkkoiuKJVhKKoniilYSiKJ4EVkkYY042xnxsjFlvjJkX1HkURQkWE0SchDEmBPwd+DbwBfAX4Bxr7RrfT6YoSqAEZUlMBtZbazdYa5uBx4BpAZ1LUZQAKQ7ouCOAja7vXwBHJyo8aNAge+CBBwYkiqIo8aitrWXbtm0mWbmgKomkGGMuBi4GGDVqFCtWrMiXKIrSI6murk6pXFDdjTpgpOv7AZFtDtbahdbaamtt9eDBgwMSQ1GUbAmqkvgLMM4YM8YY0xs4G3gmoHMpihIggXQ3rLWtxpjLgReBEPCgtfajIM6lKEqwBOaTsNY+BzwX1PEVRckNGnGpKIonWkkoiuKJVhKKoniStziJTDAmadxHwSNh8N1JF6Gr6+TWp6vrAp3vT6aoJaEoiidaSSiK4kmPrySqqqqoqqpi5cqV9O3bl759++ZbJEUpKHp8JaEoijddynHpF6NGjaK2thbo6KDauXNnh3KVlZV8/fXXuRTNFxobGyktLQX8c14p+aeoKNymh0IhAAYMGABAfX19sOcN9OiKonR5emQl8dlnn2GM6WBFWGudbfJyWxFFRUVOTQ502r9Q+MUvfkFjYyPW2rhWRGlpqWNldCVuv/12rLU0NTXR1NREKBQiFAoxd+5c5s6dW7D3w41c+zPOOIO2tjba2tpob2+nvb29Q7ny8nLKy8tpaWmhpaXFuZdr165l7dq19OrVi169elFfX099fT3FxcUUFwfXKeiRlYSiKKkTSI7LdKmurrapJJ3xq6XIJGhGysm+vXv3BqCtra3De6rnLvRWLxX8DKY699xzAfjtb38LQK9evdLaf926dQAcfPDBAJ1a51TwI5hKrM1TTjkFgPHjx1NRUQHgvC9ZsoQXXngBgLKyMgAOP/xwADZs2OCcW441e/ZsAB544IEO5xLrQcq3tLQk1Cce1dXVrFixIqmiakkoiuJJjxrdcLf2e/fuTWvf1tZWAD755BMATjzxRCDs3+hKiN5uv0Qi62bjxo2MGjUqcJlaW1sdj70XDz74IHPmzAGgqakJiFp048aNA2Ds2LFA1LLIFXLtmpubgagVsGvXLmcUQsq0t7cj2dhqamoAWLlyJRC+L1u3bgVgxowZQNS6ikV0T/dZThe1JBRF8aRHWBLx+mZjxoxJaV/pM0rLIC3W6tWrgWg/s1A488wzOeOMM3jrrbcAuOOOO5Luk6j/PXLkSEffIFvmeFZEMp9Anz59gKjvQlrwv//97x32Lyoqysg/kS5Dhw51zgdQVxdO6TpyZDTVa7zn8Oijw0nkS0pKgLCfYfjw4QD8+c9/BqLWxvLlyzvsKzrH+sv8Ri0JRVE86daWxK233prwN/EtVFZWeh5D+nvScklfuLy8HAi+Fk9GovOeddZZvhz/b3/7G0Ag4/D/+q//2mlbuqMKjY2NcbeLD6m5uZktW7YAMHHiRL766qs0pUyN0aNHA1GdFi5cmNJ+N910U4fvgwcP5rrrrgPgiiuuAOCII44AOlsSomPQqCWhKIon3TJOwu1ZhuiohszwnDFjBkuXLgXStwASlS8tLU3YqsXbP90WU1py8Q1kuuKZ9P/j9dPj6XbOOecA8NhjjyUtn2lsQSgUSjnOJJkMgrSyX3/9NSNGjACSjwJkEycxYcIEANas6bzcrVw78ZcsWbKEVatWAdFnVWIcZMQCov6M3bt3A53nFiXDrziJbllJCO+88w4AjzzyCAB33nln+sLFnDuRE6ylpaXDDU5EppVEppWZPHzSXUr3HOIYjGfa5iMzlVSWsYFDgvyhpEFI57plU0kk6nZu377dGQL1Yu3atQAccsghaZ3XCw2mUhQlJ3RLx6UMJz3//PNA5hbE2LFjHQen1Mri6JSujJiLO3fupKysLJDAllSG8BoaGgCySpoj53FPZBNHbSrBTrkgkQUhsvfr1w/IvSM59nyff/45QEpWBETDybdv387+++8PRHXKtCvmF2pJKIriSbe0JGSKt7R+CxYsyOg4YkXEO/bcuXMB+Pa3vw3A9OnTU3JcpsOmTZsA7/6xn34AtwUh+K1TNnhZB5MnTwYym9gVBBIk9eWXXzrbJNx60qRJjm/llVdeAaKO6P79+zvX/Mc//jEAd999t+e5gh6G75aVRKxp7OfMS5nzcNlllwHwne98B4j/B8sGY4xjdib6PRfMmjUrJ+dJhNzLbdu2eZZL1/MfNKlU8BB1VL7xxhtAOCZCnMXXXnstkLySCLprpd0NRVE86VaWRLJae8+ePUB0PgbgROMNGTLEyQHw5ptvAuEaOjbHpfwmEXYbN270QfLOJHIUnn/++b6fyyua8umnn/b9fOkg11kckkK8uIKuhFgL8kyKJTp8+HDHehOncb5RS0JRFE+6lSWRLJuR24IQhgwZAoSDhZYtWwZEc0Q89dRTzJ8/v0P5iRMnAjiZheT7pEmTuO2227KQviOxwUvS71y0aJFv54DwNZPZhLHkOieDG2lZY53HEtkoc0q6KrfccgsQva8ypF5fX+8M2ReK01gtCUVRPOlWloS0PhJYtN9++8Ut19jYyAEHHACEg1cg3OeVz5JDwctrfOqppwKwb98+IGxJBInfoxliCZ100kmdfhM/zPjx4309ZzokCiDq6haEIFMFrr76aiA6dBsKhQpmGNdB0nXn83XUUUfZVABSehUVFdmioiJnv7a2NtvW1mabm5ttc3OzbWho6LRPIgYNGmQHDRrklFu8eLFdvHhxp3ItLS0pyZaqLsaYrK5BsvO7efvtt+3bb7+d9bGylQ1w7lEQuqejT7r7XnTRRfaiiy5ynrXy8nJbXl6esHxxcbEtLi7utP2ZZ56x7e3ttr293Y4YMcKOGDHC13vtJvK/S/r/1O6GoiiedKvuhhBrrsUGOu23335OmWRmvETJ2SQBWeedd15GsiYi0XmSyRGLzISN7Q6dfPLJALz44ouZiugrMt8mkfO50JcgiE0yI11X0SuWWMe06HfSSSc5nyU5rkT1rl+/HogOm+YKtSQURfEkK0vCGFML7AbagFZrbbUxZgDwOHAgUAucaa3dkZ2YmSGBTpK8QywKSTCaDslasiVLlqR9TC+SOa/EosiU//iP/wAKx5IQB3AsGzZs6PC9qqoKiLayQZNsXsQ111wTd3u8ADWxkv70pz/xz//8z0DUopDEucXFxU6g2C9/+UsgGkD3m9/8Bogmr8kVflgSx1lrj7TWVke+zwNetdaOA16NfFcUpYsShE9iGlAT+fw74E/AvwdwnqTIwjKx/ofq6mqnppd05a+++mqn/dva2pLmUQiyrzxw4EAg2r/1A2m5pkyZ4tsxs8Wrj+0OpqqqqkIymOUqv0Uyiy02Oa0g8rmHct2+Mcn78fOf/xzAmcx38803OwF8suzD9773PSDqH8s12VoSFnjJGPOeMebiyLah1tpNkc+bgaHxdjTGXGyMWWGMWZEv5RVFSU62lsQUa22dMWYI8LIxZq37R2utNcbErYqttQuBhRDOcZmlHJ5IDS61+mmnneZYF3/84x+BwvSeS/p3Y4zTMkl/NVV5RU/pDxdSoI7kXIgXLi9yTp061dn22WefJV1WUdLQ33PPPUDiTFZ+8e677wJwwQUXAOGlCN0kSiEgo0sSyn/JJZd0KvPpp58COIl8+/fvD8COHbl18WVlSVhr6yLvW4ClwGSg3hgzDCDyviVbIRVFyR8ZZ8s2xpQDRdba3ZHPLwM/Bf4F2G6tvckYMw8YYK291utYQWXLLkTSjXMoZGKfnWx0GjZsGBBNP//Nb34TiCb5aW1tpayszAm5D2KxILc+2d4fmcI+a9YsZ+Tm0UcfzeqY6ZLsv51qtuxsrvRQYGnkYhYDj1prXzDG/AVYYoyZA3wGnJnFORRFyTPdet2NQkQticLFT0tCIi1LSkryllrPL0tCIy4VRfGkW87dUJR8IRaIJIwplMQx2aCWhKIonqgloSg+Ugg+Pr9RS0JRFE+6lCXRnWrp7qSL0J106k66ZItaEoqieKKVhKIonnSp7kZXD9YBDaYqZPwMpioE/OoyqSWhKIonWkkoiuKJVhKKonjS4yuJkpISSkpK+OCDDygqKqKoqAhjDMYYSkpKGD16tLOydXdFroHoryhu9IlQFMWTLjW6EQSSJu3YY491Pksa97KyMicZ7XPPPQfAtGnTgGhasnyng0uW8j0ZF1xwAffffz8QTfl22WWX+SNcgPzwhz8EOqeLkwQvsvp4bW1tTuXqjvT4SkIWFe7Tp4+TU1AyGbtzS373u98ForP6Vq9eDYTn5OeDRJWDe90Gd7lYtm3bBkQzcgP84Ac/AODyyy+Pe+xCQLJ9J8qWLRWeVg7+od0NRVE86ZGWxL59+zqt0dje3u7kWZS1OGpqarj00kuBaIvcp08fAI466iggutamZH7OFYla+aamprjlvIK4pMsk+SQlg/j06dPzllUpHo2NjQktCLEwZGWyroJkRJecnZWVlQnLihUrlm5zc3PA0oVRS0JRFG+stXl/HXXUUTYVCC8GlPHr+OOPt8cff7xta2uLe/zW1lbb2tpqy8rKbFlZmR0+fLhtaGiwDQ0NCWXavXu33b17t505c2ZKMvilS+zLGGONMbapqSmla9ne3m7b29ttaWmp3bVrl921a5fds2eP3bNnj3MdlixZYnv37m179+7tqUtQOgF25syZdubMmUn1iL0Os2fPtrNnz07rXEHpIs+IX8ydO9fOnTs3LX3iEfnfJf1/9qjuhpjRTzzxhLN0moxSNDc38+STTwLw3nvvAfCNb3wj6eIub775JgAvv/xyIDLHIt0JWXB27ty5QHjBIYDZs2fzyCOPOOVlIZd+/fp1OI4siNPY2OiYr2effTYQHSF46aWXnHK5Mm1jWbp0KQA/+9nPuP766zv9ftZZZ3X4biPdKvfygPkkFApRUVHhy7FkAexbb73Vl+OlinY3FEXxpEem1DfGOA5Id6JSsSrE4rj++usdC0GceoJcN2nJnnjiiZTOLfulq0vsoseJjptNxKRYV2J13HfffZ7lY5+dIGdO9urVK641I9vOOOMMAJ599lkg6shcvnw5J5xwQlx5Y3H/7pcuqf6//vKXvwAwduxYVq5cCcCJJ54IZB6Lk+zcmlJfURRf6FE+CcFaGzfVuQxDnXlmeNGxLVu2OD4JsSSkdpaWSqIUn3rqqcCiL0OhUNKWLRsLQo49adIkAK691nNVxrywZ8+euNvlPohvRpB7efzxxzv3bu/evQFKmDqffvop48ePB6LyFzJqSSiK4kmPtCTiUVxc7PRvJaBl586dTti2IK1ur169gGhYc5D98ba2toS/vf/++522lZeXJ2x543HHHXcA0ZDmQiJRv7qurg6AwYMHA52D2V588UUALrnkkrxYEP/0T//kfJbn6qOPPgLghBNO6BIWhKCWhKIonqglEWHVqlUceeSRAM5Er1GjRqW8v1drny2JQpEBrrzySgC+//3vA/Dwww8D6Vk24s/48MMPMxXRdxJZEOL3kVGl559/Hohaf5999hkAJ598ctAiejJu3DggLO/atWsBqKqqAmD79u1O/InEpKSDxF18/fXXfoiaFLUkFEXxpEfFScj+xcXF/Od//icQ9Yq3trY6079TmawlloN40VMlkzgJYwwLFiwAovLGxm2kikwRl758NgQRJ5Hp8+hHnIifcRJi/bl9D7179wbwjOJ1y7Br1y4gGkOxatUqAG644QYg8YhPvGPFQ+MkFEXxhR5lSUgrM2XKFKefKJ7vNWvWOK1r7DRyr2Ole/0yjbiMpb6+HoAhQ4ZktL/EiZSUlDgRltJypYqflsQ555wDwKOPPpqRDH7k5gwi4nLfvn1pWX3xniexWmVELdVnTi0JRVFyQrca3ZAa+/TTTwdg8eLFHX6X2Y47duxw+ubiLR81alSnuQHt7e2dWqhCGd8+6KCDANi9ezeQfsvntpbOO+88AO6++26fpEufZBbE/fffz5w5czrpWejZvdP1HZWVlXWK6/jJT34CZJ/PNFMK+woripJ/Ukk6EfQr06QzkmAEsL1797Y1NTW2pqbGjh492o4ePTqlhCChUMiGQiH717/+1fPcbW1ttq2tzUlCk8qx470S6ZLt68ILL7QXXnihXblypW1tbbVVVVW2qqqqUzlJ0uJ1XdPVJdvjxMoTj1AoZBctWuTbOZPp4/f9SfUVL2mQX/cnllSTziS1JIwxDxpjthhjVru2DTDGvGyMWRd57x/Zbowxdxpj1htjPjDGTEx2fEVRCpxktQjwLWAisNq17RZgXuTzPODmyOepwPOAAY4B3kmlpsrUkqisrLSVlZW2uLjYfvXVV7a5udk2Nzfbm2++2d58880pt2JeLZn8XlJSYktKSnxrrbI9TrLX+PHj7fjx41NqZW677TZ72223Zd1SZbt/PIYOHWqHDh2acJ9LL73UXnrppb5cs3R02bx5s928ebNv90ueLzd79+61e/fu9UWfePhmSVhrlwNfxWyeBvwu8vl3wOmu7WITvg30M8YMS3YORVEKl0xHN4ZaazdFPm8GhkY+jwA2usp9Edm2iRiMMRcDF0N6cyTcuLNB9e/f3/ks+RD+67/+C4ifR8Cm4CG21ha89zwRc+bMAeDjjz8GoitdDR8+HIjqb4zhqquuAuDqq6/OtZidkNEjiWQ97rjjAHj88cedPB9u3nrrrdwJ50KeLVkpbM2aNVkdL94cDpnfkW+yHgK11orzMN39FgILIRxMlcm5p0yZAkTDXWORsFWZ9HPooYcCiSfGyHCovEvwSr6It5SgDIPJbzKRSK7F//7v/9LU1OQMa8ZWwF9++WWH40A4yWy+kT9J7JChDGP/3//9H0888YTzXeQXfXKNpJjbvHlzVseJ11ilG+ofNJk2k/XSjYi8b4lsrwNGusodENmmKEoXJdMq6xngfOCmyPsy1/bLjTGPAUcDu1zdEt9Zt24dEE6yIi1qPEaPHg14T60dOnQoW7ZsSfh7PhBTViaeQVhXiAZRxfKrX/2Kfv36OclyEnWrpOV++umnnWCdXOO23JIFHe3Zs4c1a9Z0CqaS8HQJhJMkQEFPoxaLJnay1eOPPw50nH5/8MEHA9EEw42NjZ1SHcpSCalMCcg1SSsJY8xioAYYZIz5AriBcOWwxBgzB/gMkM7ic4RHONYDe4EfBiCzoig5JGklYa09J8FP/xKnrAVytm69TJtOlvo9Fmstd911FwBXXHGF73L5hduCEMQJ63Y8uqmoqOgQOi4tlpS/5JJLgMJwirmT6YgeMpkpVi9rrWeiYfFLiYU1f/58AG666Sb/BHYhIf5iJcj5YjniiCOcz3Lv9t9//0DTHfpN13TdK4qSMwrLjZomr7zyCgAzZ87kjTfecBbciR1Gk1ZUWqnS0tJA080FibS+AwYMAKLe/WR9+nQXEco1co+kLy8p2oYODY+u79ixg/b2drZv3w50nj4t3y+//HIAfvOb3wQq7/HHHw9E0+elQleyHjqQSsRV0K9sFwwuKiqypaWltqKiwlZUVPgWBRfEK5kuqb7c81bcr2nTpnWIIG1sbLSNjY2B6uKXTpm8+vfvb/v37++7PsnKlpaW2tLSUtu3b1/bt29fu3TpUrt06VInQvf111+3r7/+ekE8a4nwLeJSUZSeTZfubgjt7e0ZZR3uytgEQ5vLli3rslGimSCrpucaed7kffr06XmRIxf0nKdJUZSM0EpCURRPtJJQFMUTrSQURfGkSzkuEznruiLdSRehO+nUnXTJFrUkFEXxRCsJRVE86VLdjS4b1upCzNjupIvQ1XVy69PVdQH/ukxqSSiK4olWEoqieNLjK4mqqiqqqqpYuXIlffv2dfIEKIWNMQZjDMOHD2f48OEsX76c5cuXM2LECEaMGJFv8Rz5ugNdyifhF6NGjaK2thbo2PfcuXNnh3KVlZWBp0FTUuPyyy/nf/7nf5KWe/fddwHyXlFIY9OnTx9ntXZZyb2r0eMtCUVRvOmRlcSZZ57paQ7KPPpEqfqV3HPXXXc5a4a4aW9vp729nV27drFr1y4GDBjAgAEDGDRoEIMGDcqZfPI8lZeXU15ezpIlS1iyZAlTp06lsbGxy1oRAKYQIsuqq6vtihUrkpbzq48XT2ebZCGe2DUwMl0GPugh0N27d1NRUeFUcC0tLYGcB3I/BFpZWclXX4UXk4vNOibmfaIs4qngxxCoVGSffvopEM5rKVnEcv1fS3a+6upqVqxYkVTRHmlJKIqSOj3Scekm1RYjtlaOza2Y75yZsRaOrEPRXTzssdd/w4YNAIwZMwaIJp/J9+pX48ePB6K5SPv27cuNN94IwK9//WsgLGtX6n6oJaEoiic9ypJwt/bxFhH2QjJwf/LJJwCceOKJQHSd0Vzz4x//GIA77rgDSGwxSHo16RfHpvkLhUKd1uaQ1riiosLp69fV1TnnCNLPEcvhhx/ufPayivLtZBaflawRKpZcKBTiww8/BOC73/0uEH5mXnrpJSC+hRp7feXYsgLYkUceCcAf//hH3/WIh1oSiqJ40iMsiXheXunLJkNWuopdxVtW15L1IXJFrC7utUSgs6Uga0vGWk6yn3sVLa/z9e/fPy/Jht944w0guW9FWu58IdbY66+/DkQDp1577TVnfdB4SLCePF+VlZWdysg9evjhhwG44IILfJI6NdSSUBTFk25tSdx6660JfxPfQrya2420wLI6mKz+LKt7ZxovkS6Jji+WTLrecvE7fP/733daqHhs3LgRCMcfeK3F6TfSshb6XBqRU6ysWN/Ij370I8/9xf8gq8B/73vf47HHHgPg6KOPBqIWhKxKdtFFFwHw85//HCDw+9Itg6nkxknMvJjW8sDNmDGDpUuXApkHQ8VSWlqa0h81k2CqUCjUYRFgr/1bWlriDgNKpRbPYet1DQ499FAA1qxZk3S/bIZbxaTesmULEF3eL1bvVMmk8s4kmOqUU04B4Lnnnot7rGRroMycOROAmpoaAK666iqnwti6dSsQbQB+8YtfAHD99dcD0WsUO+coVoZEaDCVoii+0C27G2J+Sev3yCOPAHDnnXdmfMxkLUtDQ0Ngw3BtbW1OazFt2jTPstdddx233HKLs6Dta6+9lvF5rbVxLYggEItB7t3AgQMBqK+vz+h4ubKQ//CHP8TdLtaAG/czJPKtW7cOgCeffBIIWx5LlizpsN/5558PwNy5c4FolyZXzlq1JBRF8aRbWhIy7CfLwmdqQYwdO9ZxcErNL45O8XdIn3Pnzp2UlZWlHaSVCsYY+vfvD0TDwSW3wne+8x0ADjroICDsrH3ooYfYtm1bysdP5CdZtWpVdoKniNuXI9dzxowZQLSFraurY+HChVx22WU5kSkZMhSeyMKMl4dEfEUtLS2cd955ADz99NMdyrS3t3PaaacBcOCBBwJRi/jKK68EovdLgqr+/Oc/Z6xHKqgloSiKJ91ydEP6t+IxD2KS01VXXQXAt7/9bSC8qnRQoxvGGGc/8a+ce+65CcumiwRiiXUk1spdd93lhH/Hw6/RDfdxxCch1uDgwYMB+Pzzz2lqanJGaYTYKeLZDAemM7oR+4zFkmx/GXFraGgAcCxFL8Q38dBDDwGwaNEiAGbPnh23vF+jG92yuxF74/zM4SB/KDF7xdxPNtSVDe6bnaw7c+SRR/L++++ndXwZ4xfdzjrrLABefPHFtI6TLvEe4th79+WXXwKdZ3dKfMF7770HRIcQYyvqQw45hDfffBOIzl/xg0SVQ+zQZ6JKa/LkyQB88MEHKZ9TnNDyHMsxJCo4iK4upNDdMMY8aIzZYoxZ7dq2wBhTZ4x5P/Ka6vptvjFmvTHmY2PMSYFIrShKzkjFkvgtcBewKGb7r6y1v3RvMMZMAM4GDgWGA68YY8Zba3OSbCGZpbBnzx4gWvNCNHhnyJAhTmCMtDzW2k4OKPlt9OjRQDQiMVfEmtuxLF68mAkTJmQ0BCgm8KOPPpqRbNkgpnSqSJcoGe4h3KamJidyNlsSzX2ReRrJuj1iAaXDK6+80uG7BFvJkGhQlkTSSsJau9wYc2CKx5sGPGatbQI+NcasByYDb2UsYRoke3DclYMwZMgQINzHXLZsGRCd/v3UU08xf/78DuUnTpwIwAsvvNDh+6RJk7jtttuykD4xJSUlTji4ROglIlEFEeufkWnHe/fuzZmXXIgXEXrwwQf7eo54E+/8jGOR+7B48WIg6s9Jt7KL5dhjj3Umtcno3HHHHQdE/TTCAQccAGSXsi8VsulIX26M+SDSHRGvywjA3bR+EdmmKEoXJVPH5T3AjYCNvN8GpDV/1RhzMXAxhNfB8ANxFonHOF7UG4SdW1ILb9++HQi3rPJZxsC9TPZTTz0ViDr9Jk2alK34CdmxY4fjTRcz95prrgFg4cKFQPLWREYBpPskpqqbYcOGAbB582YfpE6MWHx1dXVAeI0MiQG47rrrfDlHPB38TG0nczUkXkUmW4llOWfOHCA83+KLL74Aos5WY4wzd2j69OlA9Frsv//+zjmk+5sIsYKDTp2YkSVhra231rZZa9uB+wh3KQDqgJGuogdEtsU7xkJrbbW1tlqGuRRFKTwyqlqNMcOstZsiX6cDMvLxDPCoMeZ2wo7LccC7WUuZIjL8JWPOUsOKE0m+t7S0OFaDIIlU3cyfP5/bb78dwIlglD7o2Wef3aHsihUrUnampcuyZcscB9xPf/rTuGUWLFgAdIypcCPW1TvvvAPEHxZeu3YtEL1+QcXQiFXktvQkAjFTWUvgAAARgUlEQVRbDjnkECBqrTQ2NjpDu34iz5JYECeccAIA999/PxC13C688ELHnyT3IBQKOddYrkUqw/NiBYpvQizeoElaSRhjFgM1wCBjzBfADUCNMeZIwt2NWuASAGvtR8aYJcAaoBW4LFcjG4qiBEMqoxvnxNn8gEf5nwE/y0aobIkdfooNdNpvv/06paBPhPTdkwVk+dUSxuOcc85J2qonijhMdi3a29udlk5S+gUdhSt9c3cLL310GeIVqzC2vy36JApeE9lvueUWAObNm+eX2B0QuWRUY+zYsQBxh1hlW6rdagmGq66uBjrnxpCRKp0FqihKQdAtw7IFCXQaOTLsS5XWJ5N4gGQWR2wOAD/xatllTF1iHX7/+9/z+eefO33iRHJLzEBxcXFO09K5kRbWbS1IwFsikoW/i75BWRCxyL2RUS7x68j98NoHon4KuRap+E9yvRCUWhKKonjSLWeBxhLrf2hpaXE8xDIx6NVXX+20X1tbW9KU8+nKlO1kM4mUjB2NkZEC8U1MmDABiFoaUl5aLNE/m5W3/cxx6ddz6JcMmR5HLDSZmNa/f3/efTc8wCfP0rx585z78dFHHwHB+Bd0FmgaiIkqZtppp53mVByyClKhr5kp8snKT4I8CBKGfPLJJ3PnnXd2CMqBzlOR4wVT5RPRT/5Iotezzz4LwEknnYQxxvkTZpogN2jkz55q5XvYYYcB0XVc4pGrjOyJ0O6Goiie9AhLQkjWdShkYlOWyYw/sY4krDeZRSQWlIT0FhqxTrmpU6cmKNk98LIgCoUeVUl0B8Tcli6UVB4S61BcXExra6uTm/Mf/uEfgKgvIpeL/Sr+kG+/oXY3FEXxRC2JLkpsbENQa34oiloSiqJ4opWEoiieaCWhKIonWkkoiuKJVhKKonjSpUY38j1e7CfdSRehO+nUnXTJFrUkFEXxpEtZEoU+CSsV/FxyMN/4OQu0EPBjFmgh4Zc1pJaEoiieaCWhKIonWkkoSo45/fTTKS4u9nWxoCDRSkJRFE+6RlWmKN2I3//+956/i9NUlr/84Q9/CMB9990HRFPj5WqYVi0JRVE8UUsiQyTLldT6hZpzMRW6ky6FiFzXgQMHAtElI90ce+yxQDRxcTxuuOEGAK699loAbr31Vl/lTIRWEhkiK0WXlZUB8K1vfYtVq1blU6SMiacL0GX1KQTipUqsra11fpMMYZWVlWkf+9FHH81KtnTRSiJFJF2cLD8Xuzjw+++/z+7du52l8mT5t0Jtld36xNMF6KRPPnV57rnnOPXUU7tMuHS8BXTkOvfu3dtZ0iATzj33XCB3loT6JBRF8aRbWxJiyskSbNm0hKksrVZZWeksHCsLsviFn7pA/vWJRWIGxHM/ffp0oGMfvb29HVnE6YEHwmtWi+f/6KOPDlQ+P3j77beBaHcuUxYsWACoJaEoSoHQrS0JWZvCa5FZcTAlalllZaxUaGtr47333ktDwtRJRRcI6+NlJRSKPm5WrFjhrHiVbD2Q6urqDu+C6FzIa6vIal21tbWOhXbvvfcCcOGFFzrlxKm5YcMGILosgiCLDOcKtSQURfGkW1sSwqGHHgpEvfYQbZFvvPFGILzm5G9/+1sADjzwQCC8fubSpUtTOsfmzZsZPXp04MvCx9MFOuqTSBcgJX02b94MkBN9ACZPntxpiQBB+t833HCD5/TtQrYgxH8k/qQpU6Y4+sYultTW1tZpeQTZX/QPYnFhL9SSUBTFG2tt3l9HHXWUTQUgrdc111xjr7nmGlteXm7Ly8s7/BYKhWwoFHKO3dbWZtvb2217e7vdsWOH3bFjhwVsTU2NrampSSjTvffea++9914bCoVSkikIXWL1SaRLMn3cuqSiT7b3R17GmIS/jR071o4dO9aecsopaT0be/futXv37rW9evVKWQ4/dBk3bpwdN26cLS4utsXFxfauu+6yzc3Ntrm52Tl2XV2dNcbE1XvIkCGdts2ZM8fOmTPHuaetra22tbU17fsTS+R/l/T/qZaEoiiedEufhIwESD/18MMPB+D8888Hwv3zr776qsM+xhgGDBgAwM6dO4Hw2P1rr73WoZz0IYcNGwbA9u3bg1ChA3v37vXUBeigTyJdgLj65FIXN/369QNgx44dTki49NsFWfj4k08+YeHChVx88cUdfk/kpygtLQXCCyXnYpHkn/zkJ0DUxyV8+eWX9O3bF4jeo4kTJyaMHN2yZUunbePGjXOOBTB8+HB/hE4Rk0hYp4AxI4FFwFDCZsxCa+1/G2MGAI8DBwK1wJnW2h0mfNf+G5gK7AVmW2v/6nWO6upqK0EySWRJ6Xdx9IhuU6ZMAaJDRx9++KHj6BMHUjzHV7xrk23uQzlmKsdx6+OlC9BBn1R1SVWORMQeM91jyZCg6ADe98O9Xe7xj370IwDuueceIDo0KsFfoVAo5VBud7lkusj1lnIiV2wDtW/fPmfYOZFz1k0oFGLNmjVAtCGS/WVKwMaNG4HOQ6Ne+sSjurqaFStWJL1pqXQ3WoGrrbUTgGOAy4wxE4B5wKvW2nHAq5HvAKcA4yKvi4F7UjiHoigFStLuhrV2E7Ap8nm3MeZvwAhgGlATKfY74E/Av0e2L4o4f942xvQzxgyLHCdQZAKN1PJSk/71r2FDRmpmY4xT45eXl3c6jpiObsSsF6QFSbWVygS3Pl66AAn1iacLdNQnF7rEo6amptO22Hu3Y8cOINwVGj16dKcu0d13393hXQgq27Xck9jp9dJNeuihh4BocFSfPn2crl4qQ5cNDQ1O1yuWPXv2AFBVVZWp+JmRindTXoS7Fp8D+wE7XduNfAeeBaa4fnsVqPY6rl+jG8OGDbPDhg3rtN+uXbvsrl27OmwrKyuzZWVldtGiRXbRokX2kEMOsS+88IJ94YUXOpRrbGy0jY2NtqioyBYVFdlZs2bZWbNmOb+vXr3arl69Om0Peipl4+kTT5dYfRLpkkifbHVJRyf3a/PmzXbz5s2djuMH6coSq0+iMoMGDbKDBg2yTU1NtqmpyR522GH2sMMOc36X0Zja2lpbW1trgYQjGfFeDQ0NCXXat2+f3bdvX8b3JxbfRzeMMRXAU8C/WWs7xIW6LmrKGGMuNsasMMas2Lp1azq7KoqSQ1Ia3TDG9CJcQTxirX06srleuhHGmGGAuGXrgJGu3Q+IbOuAtXYhsBDCjssM5e+ARArGxvHvt99+ncqK6SbMmjWrU5nt27czefJkAJYsWQLAjBkzOpQ5+OCDgbDZaX021936eOkCHfVJpAvgqY9bFwi++7H//vv7fp6gc17I7FSJipTu39ChQ4Fo9iiJdAVv/WS06s033wS8k9B84xvfyFDq7EhqSURGKx4A/matvd310zPA+ZHP5wPLXNt/YMIcA+yyOfBHKIoSEMn6I8AUwl2JD4D3I6+pwEDC/oZ1wCvAABv1T/wa+AT4kCT+CBtAxGXv3r1t7969nX5jurS1tdm2tjYn8jAUCtmGhgbb0NDgRLsJO3futDt37gzEJ+HWx09dYvXJVpdMdHK/Jk+enFB+ud6xfXqJJI0lnf6/lz6JyvTr18/269ev03nFXyDXW+RLJks6ZKNPPFL1SaQyuvEG4T9+PP4lTnkLXJbsuIqidA26ZcSlDDV99tlnQDRizY31CGqSYTj3DEjxBUh5yXtQX1/vl9gJaW5u9tQFEusTTxfoqE8udYnHu+++m/aQ5fz584FoEJUg18FvRD6JEo0lNmelDEW3tbU5v7mHQNORMxczcb3QuRuKonjSLS0J4R//8R+BqOdZMlhfcsklTJs2DYBjjjkmrWNKC5DrVtdLFyArffJlQWRDrAURNHLfZe2MRMg8EXcG8qamJl9kkLU5ZCQkVySdu5EL/Jq7kQ7yJ5MhJ/exxSzs06ePb+cTvLo52eDWJ9e6CEFFOaZybuk+7d6925djxuoiQ9CSBCdRJOvDDz8MxB+GzlQe0Um6Oqn+Z5OV83PuhqIoPZhu3d1IhDGmU0LYDRs2OME9Ehvfr18/Z6p1oSItnlufRLoABa9PqkgruW7dOiA7CyKd861fv96z3HnnnZfWcWUmp1jSFRUVzmxR6bLk29pXS0JRFE96pCWxadMmpwUWB9gVV1zhOP8kZ8Nbb71V8C3vpk3hYFa3Pol0ge5jSYi+48ePB6LrmMpsWL+RMOxkSwzEW/JA1gC97777gPAaq3/4wx86lEkUbl8IqCWhKIonPdKSaGxsdPp5F1xwAQAjR47km9/8JgA33XQTkL/gonSQbEVufbqqLqmQqH8elAUhyHWWdHrJEMtN7kNXRi0JRVG8SWWCR9CvoFLqe71KS0ttaWmpHTNmjB0zZkyHlOd79uyxe/bssWVlZb6eE9ekG7+P69YnkS5+6xPk/Yn3mjBhgt26davdunWrHThwoB04cGBg+qS6jyTvqaiosBUVFbakpMSWlJQEfi0yuT+x+DbBqysjATCSa0FSoQ0bNsxJN/bpp58CUFdXx+jRo4FoAFLQJmw6eOkCdNCn0HXJlPr6eidTtEQ2SgTkEUccAcBHH30EwLZt24DUks9mgxz/66+/DvQ8+aRbVxJyA2UxWq8/Smtrq/MHHDx4cPDCpUl30iVTpk+fzpNPPgnAAQccAERT2Es4usSHyPUqKSnJSUr97oz6JBRF8aTHzt3IF3K9u5MuQiHoJJGlkqFauh2p4NYnVV3kPGK5BN29SYdk/22du6Eoii90a5+E0vPIdURp0Il3CwG1JBRF8aRLWRKF4D/xi+6ki9CddOpOumSLWhKKoniilYSiKJ5oJaEoiidaSSiK4olWEoqieKKVhKIonmgloSiKJ1pJKIriiVYSiqJ4UhCzQI0xW4E9QOpT9gqDQXQ9mUHlziWFLPNoa23ShCMFUUkAGGNWWGur8y1HOnRFmUHlziVdUeZYtLuhKIonWkkoiuJJIVUSC/MtQAZ0RZlB5c4lXVHmDhSMT0JRlMKkkCwJRVEKkLxXEsaYk40xHxtj1htj5uVbHi+MMbXGmA+NMe8bY1ZEtg0wxrxsjFkXee9fAHI+aIzZYoxZ7doWV04T5s7I9f/AGDOxgGReYIypi1zv940xU12/zY/I/LEx5qR8yByRY6Qx5jVjzBpjzEfGmCsj2wv6eqdFKiv4BPUCQsAnwEFAb2AVMCGfMiWRtxYYFLPtFmBe5PM84OYCkPNbwERgdTI5ganA84ABjgHeKSCZFwDXxCk7IfKs9AHGRJ6hUJ7kHgZMjHyuBP4eka+gr3c6r3xbEpOB9dbaDdbaZuAxYFqeZUqXacDvIp9/B5yeR1kAsNYuB76K2ZxIzmnAIhvmbaCfMWZYbiSNkkDmREwDHrPWNllrPwXWE36Wco61dpO19q+Rz7uBvwEjKPDrnQ75riRGABtd37+IbCtULPCSMeY9Y8zFkW1DrbWbIp83A0PzI1pSEslZ6Pfg8ohZ/qCrK1eQMhtjDgSqgHfoute7E/muJLoaU6y1E4FTgMuMMd9y/2jD9mTBDxd1FTmBe4CxwJHAJuC2/IqTGGNMBfAU8G/W2gb3b13oescl35VEHTDS9f2AyLaCxFpbF3nfAiwlbOLWi7kYed+SPwk9SSRnwd4Da229tbbNWtsO3Ee0S1FQMhtjehGuIB6x1j4d2dzlrnci8l1J/AUYZ4wZY4zpDZwNPJNnmeJijCk3xlTKZ+BEYDVhec+PFDsfWJYfCZOSSM5ngB9EvO7HALtcZnJeiemrTyd8vSEs89nGmD7GmDHAOODdXMsH4dEK4AHgb9ba210/dbnrnZB8e04Je3v/TthDfX2+5fGQ8yDCHvVVwEciKzAQeBVYB7wCDCgAWRcTNs9bCPd55ySSk7CX/deR6/8hUF1AMj8ckekDwn+uYa7y10dk/hg4JY/XegrhrsQHwPuR19RCv97pvDTiUlEUT/Ld3VAUpcDRSkJRFE+0klAUxROtJBRF8UQrCUVRPNFKQlEUT7SSUBTFE60kFEXx5P8BBfcP+UX8BdEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3b93239240>"
]
},
"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 0x7f3b931f0320>"
]
},
"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 0x7f3b931a8080>"
]
},
"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 0x7f3b9315c0b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"20\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3b93115048>"
]
},
"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 0x7f3b930cce10>"
]
},
"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 0x7f3b93084da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"23\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3b930bc2e8>"
]
},
"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 0x7f3b9306e400>"
]
},
"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 0x7f3b9302b358>"
]
},
"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 0x7f3b92fdd438>"
]
},
"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 0x7f3b92ff4198>"
]
},
"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 0x7f3b92f4c7b8>"
]
},
"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 0x7f3b92f046d8>"
]
},
"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()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "tf",
"language": "python",
"name": "tf"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment