logi_2020/week09/GAN_v2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "uXaN4pH4pRSj"
   },
   "source": [
    "# Generative Adversarial Network (GAN)\n",
    "\n",
    "![](https://nbviewer.jupyter.org/github/hse-aml/intro-to-dl/blob/master/week4/images/gan.png)\n",
    "\n",
    "Пришло время поговорить о более интересных архитектурах, а именно о GANах или состязательных нейронных сетках. [Впервые GANы были предложены в 2014 году.](https://arxiv.org/abs/1406.2661) Сейчас они очень активно исследуются. GANы состоят из двух нейронных сетей: \n",
    "\n",
    "* Первая - генератор порождает из некоторого заданного распределения случайные числа и собирает из них объекты, которые идут на вход второй сети. \n",
    "* Вторая - дискриминатор получает на вход объекты из реальной выборки и объекты, созданные генератором. Она пытается определить какой объект был порождён генератором, а какой является реальным.\n",
    "\n",
    "Таким образом генератор пытается создавать объекты, которые дискриминатор не сможет отличить от реальных. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35
    },
    "colab_type": "code",
    "id": "sbKtr3CrpRSm",
    "outputId": "51c12158-e9ac-4671-b66a-2dd368a00404"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.0.0\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "print(tf.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "xhUuDVvxpRSt"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import time \n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "kckbb4Y7pRSv"
   },
   "source": [
    "# 1. Данные\n",
    "\n",
    "Для начала давайте попробуем погонять модели на рукописных цифрах из MNIST как бы скучно это не было. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "colab_type": "code",
    "id": "iz73STykpRSy",
    "outputId": "025bee36-1f88-4d45-9d9c-f24265537542"
   },
   "outputs": [],
   "source": [
    "(X, _ ), (_, _) = tf.keras.datasets.mnist.load_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "exSIyRN_pRS0"
   },
   "outputs": [],
   "source": [
    "X = X/127.5 - 1 # отнормировали данные на отрезок [-1, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0, 1.0)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.min(), X.max()  # проверили нормировку"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35
    },
    "colab_type": "code",
    "id": "Za9NAhDnpRS-",
    "outputId": "dbc2747f-c763-4da9-f6cc-c9a00c39ae6e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 28, 28, 1)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = X[:,:,:,np.newaxis]\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "MVqtKuyrpRTB"
   },
   "source": [
    "Давайте вытащим несколько рандомных картинок и нарисуем их."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 239
    },
    "colab_type": "code",
    "id": "m-i19NcMpRTC",
    "outputId": "736d9121-d672-49b2-d6ac-c4e5754cd550"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cols = 8\n",
    "rows = 2\n",
    "fig = plt.figure(figsize=(2 * cols - 1, 2.5 * rows - 1))\n",
    "for i in range(cols):\n",
    "    for j in range(rows):\n",
    "        random_index = np.random.randint(0, X.shape[0])\n",
    "        ax = fig.add_subplot(rows, cols, i * rows + j + 1)\n",
    "        ax.grid(False)\n",
    "        ax.axis('off')\n",
    "        ax.imshow(np.squeeze(X,-1)[random_index, :], cmap='gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Соберём для наших данных удобный генератор. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "OvWGxGQzpRTE"
   },
   "source": [
    "# 2. Дискриминатор \n",
    "\n",
    "* Дискриминатор - это обычная свёрточная сетка \n",
    "* Цель этой сетки - отличать сгенерированные изображения от реальных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "Yr_Nm2JDpRTF"
   },
   "outputs": [],
   "source": [
    "from tensorflow.keras.models import Sequential, Model\n",
    "from tensorflow.keras import layers as L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "HKCQcxILpRTH"
   },
   "outputs": [],
   "source": [
    "IMG_SHAPE = X.shape[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "1M_SaSfHpRTK"
   },
   "outputs": [],
   "source": [
    "discriminator = Sequential()\n",
    "\n",
    "discriminator.add(L.Conv2D(64, kernel_size=(5,5), \n",
    "                           strides=(2, 2), \n",
    "                           input_shape=IMG_SHAPE))\n",
    "discriminator.add(L.BatchNormalization())\n",
    "discriminator.add(L.LeakyReLU())\n",
    "\n",
    "discriminator.add(L.Conv2D(128, kernel_size=(5,5), \n",
    "                           strides=(2, 2)))\n",
    "discriminator.add(L.BatchNormalization())\n",
    "discriminator.add(L.LeakyReLU())\n",
    "\n",
    "discriminator.add(L.Flatten())\n",
    "\n",
    "# на выход из дискриминатора мы забираем логарифм, а не вероятность \n",
    "discriminator.add(L.Dense(2, activation=tf.nn.log_softmax))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "uvxieLDvpRTM"
   },
   "source": [
    "# 3. Генератор\n",
    "\n",
    "* Генерирует из шума изображения \n",
    "\n",
    "Будем генерировать новых Симпсонов из шума размера 256."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "LA2KnUT5pRTN"
   },
   "outputs": [],
   "source": [
    "CODE_SIZE = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35
    },
    "colab_type": "code",
    "id": "GmKZQvxvpRTP",
    "outputId": "4281d592-6b0f-4f57-cb9d-10ec572a88f7"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Выход генератора:  (28, 28, 1)\n"
     ]
    }
   ],
   "source": [
    "generator = Sequential()\n",
    "\n",
    "generator.add(L.InputLayer([CODE_SIZE],name='noise'))\n",
    "\n",
    "generator.add(L.Dense(256*7*7, activation='elu'))\n",
    "generator.add(L.Reshape((7,7,256)))\n",
    "\n",
    "generator.add(L.Conv2DTranspose(128, kernel_size=(3,3)))\n",
    "generator.add(L.LeakyReLU())\n",
    "\n",
    "generator.add(L.Conv2DTranspose(64, kernel_size=(3,3)))\n",
    "generator.add(L.LeakyReLU())\n",
    "\n",
    "generator.add(L.UpSampling2D(size=(2,2)))\n",
    "generator.add(L.Conv2DTranspose(32,kernel_size=3,activation='elu'))\n",
    "generator.add(L.Conv2DTranspose(32,kernel_size=3,activation='elu'))\n",
    "generator.add(L.Conv2DTranspose(32,kernel_size=3,activation='elu'))\n",
    "\n",
    "generator.add(L.Conv2D(1, kernel_size=3, padding='same'))\n",
    "\n",
    "print('Выход генератора: ', generator.output_shape[1:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "kHOMInsGpRTR"
   },
   "source": [
    "Посмотрим на пример, который нам генерирует на выход наша свежая нейронка! "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TensorShape([1, 100])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise = tf.random.normal([1, CODE_SIZE])\n",
    "noise.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 265
    },
    "colab_type": "code",
    "id": "UkdTF5zVpRTS",
    "outputId": "29fc84a6-51e6-4fe0-8777-036b826f85f3"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "generated_image =  generator(noise)\n",
    "\n",
    "plt.imshow(generated_image[0, :, :, 0], cmap='gray');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "8natz3KKpRTU"
   },
   "source": [
    "Хммм... А что про это всё думает дескриминатор?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35
    },
    "colab_type": "code",
    "id": "IetKwYPjpRTV",
    "outputId": "a137554c-4969-4de0-fd4b-f7fec50aec92"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.49975646, 0.50024354]], dtype=float32)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decision = discriminator(generated_image)\n",
    "\n",
    "# на выход из дискриминатора мы забираем логарифм!\n",
    "np.exp(decision)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "iL4-BUjtpRTY"
   },
   "source": [
    "# 4. Функция потерь "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "_OUgY-lrpRTZ"
   },
   "source": [
    "Потери для дескриминатора это обычныя кросс-энтропия."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "B2jXGozlpRTa"
   },
   "outputs": [],
   "source": [
    "def discriminator_loss(logp_real, logp_gen):\n",
    "    # Потери для дискриминатора \n",
    "    # Ваш код\n",
    "    d_loss = -1*tf.reduce_mean(logp_gen[:,0])\n",
    "    d_loss -= tf.reduce_mean(logp_real[:,1])\n",
    "    \n",
    "    d_loss += tf.reduce_mean(discriminator.weights[-2]**2)\n",
    "    return d_loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 163
    },
    "colab_type": "code",
    "id": "Tiz-y9OupRTd",
    "outputId": "b16c773f-1374-4c4f-e132-59220fb6d3e2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<tf.Tensor: id=2682, shape=(), dtype=float32, numpy=1.4049389>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "real_log = discriminator(X[:1])\n",
    "gen_log = discriminator(generated_image)\n",
    "\n",
    "discriminator_loss(real_log, gen_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "e6PABXZTpRTf"
   },
   "source": [
    "Для генератора мы хотим максимизировать ошибку дискриминатора на фэйковых примерах. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "Q9r_eUzmpRTg"
   },
   "outputs": [],
   "source": [
    "def generator_loss(logp_gen):\n",
    "    # Потери для генератора\n",
    "    # Ваш код \n",
    "    g_loss = tf.reduce_mean(logp_gen[:,0])\n",
    "    return g_loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35
    },
    "colab_type": "code",
    "id": "rt-LiofmpRTj",
    "outputId": "a8662b74-fc3d-4d6c-f167-2be9952e63a9",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<tf.Tensor: id=2688, shape=(), dtype=float32, numpy=-0.6936344>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "generator_loss(gen_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "C6Fk5J4CpRTp"
   },
   "source": [
    "# 5. Градиентный спуск\n",
    "\n",
    "Учить пару из сеток будем так: \n",
    "\n",
    "* Делаем $k$ шагов обучения дискриминатора. Целевая переменная - реальный объект перед нами или порождённый. Веса изменяем стандартно, пытаясь уменьшить кросс-энтропию.\n",
    "* Делаем $m$ шагов обучения генератора. Веса внутри сетки меняем так, чтобы увеличить логарифм вероятности дискриминатора присвоить сгенерированному объекту лэйбл реального. \n",
    "* Обучаем итеративно до тех пор, пока дискриминатор больше не сможет найти разницу (либо пока у нас не закончится терпение).\n",
    "* При обучении может возникнуть огромное количество пробем от взрыва весов до более тонких вещей. Имеет смысл посмотреть на разные трюки, используемые при обучении:  https://github.com/soumith/ganhacks\n",
    "\n",
    "Собираем структуру для обучения."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "bKbQTq5dpRTs"
   },
   "outputs": [],
   "source": [
    "generator_optimizer = tf.keras.optimizers.Adam(1e-4)\n",
    "discriminator_optimizer = tf.keras.optimizers.Adam(1e-4)\n",
    "#discriminator_optimizer = tf.keras.optimizers.SGD(1e-3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "qmjZ9UxfpRTu"
   },
   "source": [
    "Чекпойнты для процесса обучения."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "UHgG-4vYpRTv"
   },
   "outputs": [],
   "source": [
    "import os \n",
    "checkpoint_dir = './training_checkpoints'\n",
    "\n",
    "checkpoint_prefix = os.path.join(checkpoint_dir, \"ckpt\")\n",
    "\n",
    "checkpoint = tf.train.Checkpoint(generator_optimizer=generator_optimizer,\n",
    "                                 discriminator_optimizer=discriminator_optimizer,\n",
    "                                 generator=generator,\n",
    "                                 discriminator=discriminator)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Y3KnodoJpRTx"
   },
   "source": [
    "Задаём один шаг процедуры обучения генератора."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "I7E7MBIBpRTx"
   },
   "outputs": [],
   "source": [
    "@tf.function\n",
    "def train_generator_step(images, noise):\n",
    "\n",
    "    # ищем градиенты \n",
    "    with tf.GradientTape() as gen_tape:\n",
    "        \n",
    "        # сгенерировали новое изображение из шума\n",
    "        generated_images = generator(noise)\n",
    "        \n",
    "        # посчитали прогнозы дискриминатора\n",
    "        real_output = discriminator(images)\n",
    "        fake_output = discriminator(generated_images)\n",
    "        \n",
    "        # нашли ошибку\n",
    "        gen_loss = generator_loss(fake_output)\n",
    "        \n",
    "    # нашли градиенты\n",
    "    grad = gen_tape.gradient(gen_loss, generator.trainable_variables)\n",
    "        \n",
    "    # сделали шаг градиентного спуска \n",
    "    generator_optimizer.apply_gradients(zip(grad, generator.trainable_variables))\n",
    "    pass"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "FIZUae_NpRT0"
   },
   "source": [
    "Теперь шаг обучения дискриминатора. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "zjEexY2OpRT0"
   },
   "outputs": [],
   "source": [
    "@tf.function\n",
    "def train_discriminator_step(images, noise):\n",
    "    \n",
    "   # ищем градиенты \n",
    "    with tf.GradientTape() as gen_tape:\n",
    "        \n",
    "        # сгенерировали новое изображение из шума\n",
    "        generated_images = generator(noise)\n",
    "        \n",
    "        # посчитали прогнозы дискриминатора\n",
    "        real_output = discriminator(images)\n",
    "        fake_output = discriminator(generated_images)\n",
    "        \n",
    "        # нашли ошибку\n",
    "        dis_loss = discriminator_loss(real_output,fake_output)\n",
    "        \n",
    "    # нашли градиенты\n",
    "    grad = gen_tape.gradient(dis_loss, discriminator.trainable_variables)\n",
    "        \n",
    "    # сделали шаг градиентного спуска \n",
    "    generator_optimizer.apply_gradients(zip(grad, discriminator.trainable_variables))\n",
    "    pass"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ZhpbZYv6pRT2"
   },
   "source": [
    "Мы почти готовы учить нашу сетку. Напишем две простенькие функции для генерации фэйковых и настоящих батчей. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "P6u0IoKRpRT3"
   },
   "outputs": [],
   "source": [
    "# функция, которая генерирует батч с шумом\n",
    "def sample_noise_batch(bsize):\n",
    "    return tf.random.normal([bsize, CODE_SIZE], dtype=tf.float32)\n",
    "\n",
    "\n",
    "# функция, которая генерирует батч из реальных данных (для баловства)\n",
    "def sample_data_batch(bsize):\n",
    "    idxs = np.random.choice(np.arange(X.shape[0]), size=bsize)\n",
    "    return X[idxs]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "tKb5nRbVpRT4"
   },
   "source": [
    "Проверяем отрабатывают ли наши шаги."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "colab_type": "code",
    "id": "tag4OrE_pRT5",
    "outputId": "5277fa7f-15d2-48cb-e52f-452ade58b71f"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ошибка дескриминатора: 1.3821939\n",
      "Ошибка генератора: -0.6970318\n"
     ]
    }
   ],
   "source": [
    "data_test = sample_data_batch(256)\n",
    "fake_test = sample_noise_batch(256)\n",
    "\n",
    "gen_log = discriminator(generator(fake_test))\n",
    "real_log = discriminator(data_test)\n",
    "\n",
    "print('Ошибка дескриминатора:', discriminator_loss(real_log, gen_log).numpy())\n",
    "print('Ошибка генератора:', generator_loss(gen_log).numpy())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ошибка дескриминатора: 1.3877242\n",
      "Ошибка генератора: -0.7025621\n"
     ]
    }
   ],
   "source": [
    "# сделали шаг работы генератора\n",
    "train_generator_step(data_test, fake_test)\n",
    "\n",
    "gen_log = discriminator(generator(fake_test))\n",
    "real_log = discriminator(data_test)\n",
    "\n",
    "print('Ошибка дескриминатора:', discriminator_loss(real_log, gen_log).numpy())\n",
    "print('Ошибка генератора:', generator_loss(gen_log).numpy())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "colab_type": "code",
    "id": "hel7ec2YpRT7",
    "outputId": "be193556-ee5a-4f20-b1f5-3b6c232b1ecc"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ошибка дескриминатора: 1.2008832\n",
      "Ошибка генератора: -0.7058904\n"
     ]
    }
   ],
   "source": [
    "# сделали шаг работы дискриминатора\n",
    "train_discriminator_step(data_test, fake_test)\n",
    "\n",
    "gen_log = discriminator(generator(fake_test))\n",
    "real_log = discriminator(data_test)\n",
    "\n",
    "print('Ошибка дескриминатора:', discriminator_loss(real_log, gen_log).numpy())\n",
    "print('Ошибка генератора:', generator_loss(gen_log).numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "llLaVh-lpRUD"
   },
   "source": [
    "Как думаете, выглядит адекватно? Мы нигде не ошиблись? \n",
    "\n",
    "Напишем пару вспомогательных функций для отрисовки картинок. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "CgqyoSxipRUE"
   },
   "outputs": [],
   "source": [
    "# рисуем изображения\n",
    "def sample_images(rows, cols, num=0):\n",
    "    images = generator.predict(sample_noise_batch(bsize=rows*cols))\n",
    "    \n",
    "    fig = plt.figure(figsize=(2 * cols - 1, 2.5 * rows - 1))\n",
    "    for i in range(cols):\n",
    "        for j in range(rows):\n",
    "            ax = fig.add_subplot(rows, cols, i * rows + j + 1)\n",
    "            ax.grid('off')\n",
    "            ax.axis('off')\n",
    "            ax.imshow(np.squeeze(images[i * rows + j],-1),cmap='gray')\n",
    "    \n",
    "    # сохраняем картинку для гифки\n",
    "    if num >0:\n",
    "        plt.savefig('images_gan/image_at_epoch_{:04d}.png'.format(num))\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "# рисуем распределения\n",
    "def sample_probas(X):\n",
    "    plt.title('Generated vs real data')\n",
    "    \n",
    "    plt.hist(np.exp(discriminator.predict(X))[:,1],\n",
    "             label='D(x)', alpha=0.5,range=[0,1])\n",
    "    \n",
    "    plt.hist(np.exp(discriminator.predict(generator.predict(sample_noise_batch(X.shape[0]))))[:,1],\n",
    "             label='D(G(z))',alpha=0.5,range=[0,1])\n",
    "    \n",
    "    plt.legend(loc='best')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 238
    },
    "colab_type": "code",
    "id": "4sRT2SDnpRUG",
    "outputId": "85c2170c-8162-4cea-bc17-eaa0f7590c64"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:424: MatplotlibDeprecationWarning: \n",
      "Passing one of 'on', 'true', 'off', 'false' as a boolean is deprecated; use an actual boolean (True/False) instead.\n",
      "  warn_deprecated(\"2.2\", \"Passing one of 'on', 'true', 'off', 'false' as a \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_images(2,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 281
    },
    "colab_type": "code",
    "id": "baEw1cdnpRUI",
    "outputId": "9bcdea14-d47d-4a55-c82f-28622c54dbab"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_probas(X[:100]) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Немного побалуемся с шагами. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ошибка дескриминатора: 1.123008\n",
      "Ошибка генератора: -0.7180641\n"
     ]
    }
   ],
   "source": [
    "data_test = sample_data_batch(256)\n",
    "fake_test = sample_noise_batch(256)\n",
    "\n",
    "# Генератор\n",
    "train_generator_step(data_test, fake_test)\n",
    "\n",
    "gen_log = discriminator(generator(fake_test))\n",
    "real_log = discriminator(data_test)\n",
    "\n",
    "print('Ошибка дескриминатора:', discriminator_loss(real_log, gen_log).numpy())\n",
    "print('Ошибка генератора:', generator_loss(gen_log).numpy())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_images(2,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ошибка дескриминатора: 1.1154168\n",
      "Ошибка генератора: -0.70963913\n"
     ]
    }
   ],
   "source": [
    "data_test = sample_data_batch(256)\n",
    "fake_test = sample_noise_batch(256)\n",
    "\n",
    "# Дискриминатор\n",
    "train_discriminator_step(data_test, fake_test)\n",
    "\n",
    "gen_log = discriminator(generator(fake_test))\n",
    "real_log = discriminator(data_test)\n",
    "\n",
    "print('Ошибка дескриминатора:', discriminator_loss(real_log, gen_log).numpy())\n",
    "print('Ошибка генератора:', generator_loss(gen_log).numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "mG26Axj8pRUK"
   },
   "source": [
    "# 6. Обучение\n",
    "\n",
    "Ну и наконец последний шаг. Тренировка сеток.  При обучении нужно соблюдать между сетками баланс. Важно сделать так, чтобы ни одна из них не стала сразу же побеждать. Иначе обучение остановится. \n",
    "\n",
    "* Чтобы избежать моментального выигрыша дискриминатора, мы добавили в его функцию потерь $l_2$ регуляризацию. \n",
    "* Кроме регуляризации можно пытаться учить модели сбалансированно, делая внутри цикла шаги чуть более умным способом. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 1 is 0.051986176520586014 min\n",
      "error D: 0.9616665840148926, error G: -0.733620822429657\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 2 is 0.14309339597821236 min\n",
      "error D: 0.8713639974594116, error G: -0.755751371383667\n",
      "Time for epoch 3 is 0.20311498269438744 min\n",
      "error D: 0.8475480079650879, error G: -0.7894017696380615\n",
      "Time for epoch 4 is 0.26614726334810257 min\n",
      "error D: 0.8585466146469116, error G: -0.8251792192459106\n",
      "Time for epoch 5 is 0.32602281123399734 min\n",
      "error D: 0.8670146465301514, error G: -0.8419585824012756\n",
      "Time for epoch 6 is 0.39016906172037125 min\n",
      "error D: 0.8176099061965942, error G: -0.7883791923522949\n",
      "Time for epoch 7 is 0.4507625438272953 min\n",
      "error D: 0.6861464381217957, error G: -0.6465140581130981\n",
      "Time for epoch 8 is 0.5111337825655937 min\n",
      "error D: 0.5303881764411926, error G: -0.4668436646461487\n",
      "Time for epoch 9 is 0.570877194404602 min\n",
      "error D: 0.40221256017684937, error G: -0.3183642625808716\n",
      "Time for epoch 10 is 0.6300640776753426 min\n",
      "error D: 0.3113093972206116, error G: -0.22250205278396606\n",
      "Time for epoch 11 is 0.6936125792562962 min\n",
      "error D: 0.25709810853004456, error G: -0.170442134141922\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 12 is 0.7872799634933472 min\n",
      "error D: 0.21851897239685059, error G: -0.157528817653656\n",
      "Time for epoch 13 is 0.8516135439276695 min\n",
      "error D: 0.21640676259994507, error G: -0.17421823740005493\n",
      "Time for epoch 14 is 0.9102287143468857 min\n",
      "error D: 0.2363804131746292, error G: -0.21070867776870728\n",
      "Time for epoch 15 is 0.9745626114308834 min\n",
      "error D: 0.29926300048828125, error G: -0.27628085017204285\n",
      "Time for epoch 16 is 1.0459340959787369 min\n",
      "error D: 0.4229777753353119, error G: -0.3924017548561096\n",
      "Time for epoch 17 is 1.1153364665806293 min\n",
      "error D: 0.5869230031967163, error G: -0.5435584783554077\n",
      "Time for epoch 18 is 1.174863513559103 min\n",
      "error D: 0.822172224521637, error G: -0.7911713123321533\n",
      "Time for epoch 19 is 1.2395642846822739 min\n",
      "error D: 0.9262543320655823, error G: -0.9073656797409058\n",
      "Time for epoch 20 is 1.3112408481538296 min\n",
      "error D: 0.912373423576355, error G: -0.9089843034744263\n",
      "Time for epoch 21 is 1.3712762147188187 min\n",
      "error D: 0.7126774191856384, error G: -0.7113420963287354\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nJL2d/3twvlyS7pG0StIbkka0dSfMzKx+xZzRbwdmRsRQYBRwmaShwPeA5yLiGOC5fB7ga8Ax+WMa8JNWr9rMzIrWaNBHxLqIeC2f3gK8CQwExgPz8mbzgHPy6fHAA5FZDPSWdGirV25mZkVp0hi9pMHAF4GXgQERsS5ftR4YkE8PBN4r2Kw6X7bnvqZJqpRU6W+RMjNrO0UHvaQDgUeBqyLio8J1kX2xa5O+3DUi5kRERURU9OvXrymbmplZExQV9JK6kYX8zyPisXzxhl1DMvm/G/Pla4HDCjYflC8zM7MSKOaqGwFzgTcj4ocFqxYAk/PpycDjBcsn5VffjAI2FwzxmJlZOyvmy8FPBi4ElkqqypddD9wOPCxpCrAGOD9ftxAYB6wCPgEuatWKzcysSRoN+oj4HaB6Vp+2j/YBXNbCuszMrJX4L2PNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscY0GvaT7JW2UtKxg2Y2S1kqqyh/jCtZdJ2mVpLckfbWtCjczs+IUc0b/M2DsPpbfFRHl+WMhgKShwARgWL7NP0nq2lrFmplZ0zUa9BHxEvCnIvc3HngoIv4SEX8EVgEjW1CfmZm1UEvG6GdIeiMf2jk4XzYQeK+gTXW+bC+SpkmqlFRZU1PTgjLMzKwhzQ36nwBHA+XAOmBWU3cQEXMioiIiKvr169fMMszMrDHNCvqI2BAROyJiJ3Afnw7PrAUOK2g6KF9mZmYl0qygl3Rowey5wK4rchYAEyQdIOlI4BjglZaVaGZmLVHWWANJvwDGAH0lVQM3AGMklQMBrAYuBYiI5ZIeBlYA24HLImJH25RuZmbFaDToI2LiPhbPbaD9LcAtLSnKzMxaj/8y1swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS1yjQS/pfkkbJS0rWHaIpGckvZ3/e3C+XJLukbRK0huSRrRl8WZm1rhizuh/BozdY9n3gOci4hjguXwe4GvAMfljGvCT1inTzMyaq9Ggj4iXgD/tsXg8MC+fngecU7D8gcgsBnpLOrS1ijUzs6Zr7hj9gIhYl0+vBwbk0wOB9wraVefL9iJpmqRKSZU1NTXNLMPMzBrT4g9jIyKAaMZ2cyKiIiIq+vXr19IyzMysHmXN3G6DpEMjYl0+NLMxX74WOKyg3aB8mVnLvHBbqStof6deV+oKLBHNPaNfAEzOpycDjxcsn5RffTMK2FwwxGNmZiXQ6Bm9pF8AY4C+kqqBG4DbgYclTQHWAOfnzRcC44BVwCfARW1Qs5mZNUGjQR8RE+tZddo+2gZwWUuLMjOz1uO/jDUzS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PEOejNzBLnoDczS5yD3swscQ56M7PElbVkY0mrgS3ADmB7RFRIOgSYDwwGVgPnR8SHLSvTzMyaqzXO6E+NiPKIqMjnvwc8FxHHAM/l82ZmViJtMXQzHpiXT88DzmmDY5iZWZFaGvQB/JukVyVNy5cNiIh1+fR6YMC+NpQ0TVKlpMqampoWlmFmZvVp0Rg98F8jYq2k/sAzkv5QuDIiQlLsa8OImAPMAaioqNhnGzMza7kWndFHxNr8343Ar4CRwAZJhwLk/25saZFmZtZ8zQ56SX8lqdeuaeBMYBmwAJicN5sMPN7SIs3MrPlaMnQzAPiVpF37eTAinpL078DDkqYAa4DzW16mmZk1V7ODPiLeAU7Yx/Ja4LSWFGVmZq3HfxlrZpY4B72ZWeIc9GZmiXPQm5klzkFvZpY4B72ZWeJaegsEM2srL9xWmuOeel1pjmttxmf0ZmaJc9CbmSXOQW9mljgHvZlZ4hz0ZmaJc9CbmSXOQW9mljgHvZlZ4hz0ZmaJc9CbmSXOt0CwpinVn+WbWbP5jN7MLHEOejOzxDnozcwS56A3M0ucg97MLHEOejOzxDnozcwS56A3M0ucg97MLHEOejOzxDnozcwS56A3M0ucg97MLHEOejOzxLVZ0EsaK+ktSaskfa+tjmNmZg1rk6CX1BX4MfA1YCgwUdLQtjiWmZk1rK2+eGQksCoi3gGQ9BAwHljRRsfbv/jLP6wtlfL369TrSnfshLVV0A8E3iuYrwZOKmwgaRowLZ/9WNJbzTxWX+CDZm7bWbnP+4f9sM/X73d9vqZlP+cjimlUsq8SjIg5wJyW7kdSZURUtEJJnYb7vH9wn/cP7dHntvowdi1wWMH8oHyZmZm1s7YK+n8HjpF0pKTPABOABW10LDMza0CbDN1ExHZJM4Cnga7A/RGxvC2ORSsM/3RC7vP+wX3eP7R5nxURbX0MMzMrIf9lrJlZ4hz0ZmaJ6zRB39gtFSQdIGl+vv5lSYPbv8rWVUSfr5G0QtIbkp6TVNQ1tR1ZsbfOkPS3kkJSp78Ur5g+Szo//1kvl/Rge9fY2or43T5c0guSluS/3+NKUWdrkXS/pI2SltWzXpLuyZ+PNySNaNUCIqLDP8g+0P1/wFHAZ4DXgaF7tPkO8NN8egIwv9R1t0OfTwV65tPT94c+5+16AS8Bi4GKUtfdDj/nY4AlwMH5fP9S190OfZ4DTM+nhwKrS113C/t8CjACWFbP+nHAk4CAUcDLrXn8znJGX3dLhYj4T2DXLRUKjQfm5dO/BE6TpHassbU12ueIeCEiPslnF5P9vUJnVszPGeD7wB3A1vYsro0U0+dLgB9HxIcAEbGxnWtsbcX0OYCD8unPAu+3Y32tLiJeAv7UQJPxwAORWQz0lnRoax2/swT9vm6pMLC+NhGxHdgM9GmX6tpGMX0uNIXsjKAza7TP+VvawyLiN+1ZWBsq5ud8LHCspEWSFksa227VtY1i+nwj8E1J1cBC4PL2Ka1kmvr/vUlKdgsEaz2SvglUAF8pdS1tSVIX4IfAt0pcSnsrIxu+GUP2ru0lScMjYlNJq2pbE4GfRcQsSV8G/kXS8RGxs9SFdUad5Yy+mFsq1LWRVEb2dq+2XaprG0XdRkLS6cD/AM6OiL+0U21tpbE+9wKOB16UtJpsLHNBJ/9AtpifczWwICK2RcQfgZVkwd9ZFdPnKcDDABHxe6A72c2/UtWmt43pLEFfzC0VFgCT8+nzgOcj/5Sjk2q0z5K+CNxLFvKdfdwWGulzRGyOiL4RMTgiBpN9LnF2RFSWptxWUczv9q/JzuaR1JdsKOed9iyylRXT53eB0wAkDSEL+pp2rbJ9LQAm5VffjAI2R8S61tp5pxi6iXpuqSDpZqAyIhYAc8ne3q0i+9BjQukqbrki+/wPwIHAI/nnzu9GxNklK7qFiuxzUors89PAmZJWADuAv4uITvtutcg+zwTuk3Q12Qez3+rMJ26SfkH2Yt03/9zhBqAbQET8lOxziHHAKuAT4KJWPX4nfu7MzKwInWXoxszMmslBb2aWOAe9mVniHPRmZolz0JuZJc5Bb2aWOAe9mVni/j8bQkXFTVnN+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 22 is 1.4582940340042114 min\n",
      "error D: 0.45781171321868896, error G: -0.45749935507774353\n",
      "Time for epoch 23 is 1.5157785788178444 min\n",
      "error D: 0.19997255504131317, error G: -0.19990602135658264\n",
      "Time for epoch 24 is 1.5796009823679924 min\n",
      "error D: 0.06071032956242561, error G: -0.060678645968437195\n",
      "Time for epoch 25 is 1.6489165462553501 min\n",
      "error D: 0.016575831919908524, error G: -0.01656060665845871\n",
      "Time for epoch 26 is 1.7203895598649979 min\n",
      "error D: 0.004723323509097099, error G: -0.004714701324701309\n",
      "Time for epoch 27 is 1.7769754119217396 min\n",
      "error D: 0.0018199416808784008, error G: -0.0017844729591161013\n",
      "Time for epoch 28 is 1.8411111161112785 min\n",
      "error D: 0.0008299887413159013, error G: -0.0008240522583946586\n",
      "Time for epoch 29 is 1.906941581517458 min\n",
      "error D: 0.0006246736156754196, error G: -0.00041768583469092846\n",
      "Time for epoch 30 is 1.9772037975490093 min\n",
      "error D: 0.00025661822292022407, error G: -0.0002348848502151668\n",
      "Time for epoch 31 is 2.040006462484598 min\n",
      "error D: 0.00016618570953141898, error G: -0.00015165124204941094\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 32 is 2.1227892972528934 min\n",
      "error D: 0.00011216900747967884, error G: -9.610942652216181e-05\n",
      "Time for epoch 33 is 2.1843884140253067 min\n",
      "error D: 8.298738248413429e-05, error G: -7.371012179646641e-05\n",
      "Time for epoch 34 is 2.248769663274288 min\n",
      "error D: 7.194977661129087e-05, error G: -6.247063720365986e-05\n",
      "Time for epoch 35 is 2.3058569096028805 min\n",
      "error D: 0.00016663430142216384, error G: -4.841881673200987e-05\n",
      "Time for epoch 36 is 2.3616648614406586 min\n",
      "error D: 5.795738979941234e-05, error G: -3.802491846727207e-05\n",
      "Time for epoch 37 is 2.417897179722786 min\n",
      "error D: 4.068722773808986e-05, error G: -3.1663985282648355e-05\n",
      "Time for epoch 38 is 2.490555379539728 min\n",
      "error D: 3.8461981603177264e-05, error G: -2.9128830647096038e-05\n",
      "Time for epoch 39 is 2.566031266003847 min\n",
      "error D: 3.276828283560462e-05, error G: -2.037787089648191e-05\n",
      "Time for epoch 40 is 2.6308955624699593 min\n",
      "error D: 4.2616247810656205e-05, error G: -2.297419632668607e-05\n",
      "Time for epoch 41 is 2.7065653577446938 min\n",
      "error D: 3.147667302982882e-05, error G: -1.6673659047228284e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 42 is 2.815697345882654 min\n",
      "error D: 5.33213751623407e-05, error G: -1.7304530047113076e-05\n",
      "Time for epoch 43 is 2.8842017129063606 min\n",
      "error D: 2.1837824533577077e-05, error G: -1.3608718290925026e-05\n",
      "Time for epoch 44 is 2.9486361630260944 min\n",
      "error D: 3.817183096543886e-05, error G: -1.451994467061013e-05\n",
      "Time for epoch 45 is 3.020170632749796 min\n",
      "error D: 0.00014240697782952338, error G: -1.2489761502365582e-05\n",
      "Time for epoch 46 is 3.080787532031536 min\n",
      "error D: 4.780951712746173e-05, error G: -1.2711867384496145e-05\n",
      "Time for epoch 47 is 3.148048609495163 min\n",
      "error D: 1.8915976397693157e-05, error G: -1.1551915122254286e-05\n",
      "Time for epoch 48 is 3.219302847981453 min\n",
      "error D: 1.3961824151920155e-05, error G: -9.558031706546899e-06\n",
      "Time for epoch 49 is 3.2973056621849537 min\n",
      "error D: 1.687807889538817e-05, error G: -9.20369438972557e-06\n",
      "Time for epoch 50 is 3.3772025778889656 min\n",
      "error D: 2.4316817871294916e-05, error G: -9.611564564693253e-06\n",
      "Time for epoch 51 is 3.4537679813802242 min\n",
      "error D: 1.696626713965088e-05, error G: -1.0000842848967295e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 52 is 3.5412425622344017 min\n",
      "error D: 1.722644446999766e-05, error G: -8.441384125035256e-06\n",
      "Time for epoch 53 is 3.5978946648538113 min\n",
      "error D: 1.2412247087922879e-05, error G: -7.319195447053062e-06\n",
      "Time for epoch 54 is 3.6549248285591602 min\n",
      "error D: 1.5315861674025655e-05, error G: -7.0384076025220565e-06\n",
      "Time for epoch 55 is 3.711620032787323 min\n",
      "error D: 1.1755816558434162e-05, error G: -7.315004040719941e-06\n",
      "Time for epoch 56 is 3.768117681145668 min\n",
      "error D: 2.3418639102601446e-05, error G: -7.014646598690888e-06\n",
      "Time for epoch 57 is 3.8245589770376682 min\n",
      "error D: 1.4387844203156419e-05, error G: -7.480753083655145e-06\n",
      "Time for epoch 58 is 3.8807214461266994 min\n",
      "error D: 2.3398220946546644e-05, error G: -7.361563802987803e-06\n",
      "Time for epoch 59 is 3.937194261699915 min\n",
      "error D: 1.8019010894931853e-05, error G: -6.645855137321632e-06\n",
      "Time for epoch 60 is 3.9955768659710884 min\n",
      "error D: 2.0532144844764844e-05, error G: -6.364110959111713e-06\n",
      "Time for epoch 61 is 4.069961234927177 min\n",
      "error D: 4.736212576972321e-05, error G: -7.358285074587911e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 62 is 4.17396629601717 min\n",
      "error D: 1.7234897313755937e-05, error G: -5.640042672894197e-06\n",
      "Time for epoch 63 is 4.235884394496679 min\n",
      "error D: 6.433264206862077e-05, error G: -5.493363460118417e-06\n",
      "Time for epoch 64 is 4.299514297395945 min\n",
      "error D: 0.002700366312637925, error G: -6.947120709810406e-06\n",
      "Time for epoch 65 is 4.361284013837576 min\n",
      "error D: 2.598729042802006e-05, error G: -6.535952252306743e-06\n",
      "Time for epoch 66 is 4.417648695409298 min\n",
      "error D: 1.9311675714561716e-05, error G: -7.032336725387722e-06\n",
      "Time for epoch 67 is 4.4735879972577095 min\n",
      "error D: 1.58626808115514e-05, error G: -7.029081643850077e-06\n",
      "Time for epoch 68 is 4.542974028736353 min\n",
      "error D: 1.4821807781117968e-05, error G: -7.60275997890858e-06\n",
      "Time for epoch 69 is 4.614544812589884 min\n",
      "error D: 2.492159910616465e-05, error G: -7.161797384469537e-06\n",
      "Time for epoch 70 is 4.684635147452354 min\n",
      "error D: 1.896029061754234e-05, error G: -6.1755499700666405e-06\n",
      "Time for epoch 71 is 4.755213174968958 min\n",
      "error D: 4.24816353188362e-05, error G: -7.891906534496229e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 72 is 4.838119648396969 min\n",
      "error D: 1.60348918143427e-05, error G: -6.402326107490808e-06\n",
      "Time for epoch 73 is 4.894003547728062 min\n",
      "error D: 3.294911948614754e-05, error G: -7.775990525260568e-06\n",
      "Time for epoch 74 is 4.9497740641236305 min\n",
      "error D: 7.930650463094935e-05, error G: -6.971340553718619e-06\n",
      "Time for epoch 75 is 5.00566953420639 min\n",
      "error D: 1.5914483810774982e-05, error G: -6.74781585985329e-06\n",
      "Time for epoch 76 is 5.062102846801281 min\n",
      "error D: 1.4191493391990662e-05, error G: -7.142204594856594e-06\n",
      "Time for epoch 77 is 5.119141314178705 min\n",
      "error D: 9.923054312821478e-05, error G: -7.857003765820991e-06\n",
      "Time for epoch 78 is 5.175996746867895 min\n",
      "error D: 4.90976708533708e-05, error G: -6.179716820042813e-06\n",
      "Time for epoch 79 is 5.231950897723436 min\n",
      "error D: 1.1739782166841906e-05, error G: -6.719889825035352e-06\n",
      "Time for epoch 80 is 5.288002483546734 min\n",
      "error D: 2.330477218492888e-05, error G: -6.840480637038127e-06\n",
      "Time for epoch 81 is 5.343762580305338 min\n",
      "error D: 1.2113162483728956e-05, error G: -6.14248256169958e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 82 is 5.426711264997721 min\n",
      "error D: 1.5276842532330193e-05, error G: -7.676325367356185e-06\n",
      "Time for epoch 83 is 5.4829168282449245 min\n",
      "error D: 1.7090762412408367e-05, error G: -7.189260941231623e-06\n",
      "Time for epoch 84 is 5.539087116718292 min\n",
      "error D: 0.00034546959795989096, error G: -7.67396795708919e-06\n",
      "Time for epoch 85 is 5.597035311162472 min\n",
      "error D: 1.4071420991967898e-05, error G: -7.568785349576501e-06\n",
      "Time for epoch 86 is 5.652752794325352 min\n",
      "error D: 3.2904867111938074e-05, error G: -6.947513611521572e-06\n",
      "Time for epoch 87 is 5.708382915705442 min\n",
      "error D: 1.4639750588685274e-05, error G: -7.641419870196842e-06\n",
      "Time for epoch 88 is 5.763959512114525 min\n",
      "error D: 2.4312925233971328e-05, error G: -6.5606536736595444e-06\n",
      "Time for epoch 89 is 5.819631099700928 min\n",
      "error D: 2.561573637649417e-05, error G: -5.791845069325063e-06\n",
      "Time for epoch 90 is 5.875500250607729 min\n",
      "error D: 1.2689786672126502e-05, error G: -6.936886620678706e-06\n",
      "Time for epoch 91 is 5.931170962750912 min\n",
      "error D: 8.905199138098396e-06, error G: -6.618386578338686e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 92 is 6.015050649642944 min\n",
      "error D: 1.9306899048388004e-05, error G: -6.637905698880786e-06\n",
      "Time for epoch 93 is 6.071170762181282 min\n",
      "error D: 2.2189902665559202e-05, error G: -7.986448508745525e-06\n",
      "Time for epoch 94 is 6.127580348402262 min\n",
      "error D: 0.00019773318490479141, error G: -7.512436241086107e-06\n",
      "Time for epoch 95 is 6.183326847851276 min\n",
      "error D: 2.3384582163998857e-05, error G: -6.831637620052788e-06\n",
      "Time for epoch 96 is 6.240042578428984 min\n",
      "error D: 1.4810770153417252e-05, error G: -8.497258932038676e-06\n",
      "Time for epoch 97 is 6.295778047293425 min\n",
      "error D: 2.4674905944266357e-05, error G: -6.5639055719657335e-06\n",
      "Time for epoch 98 is 6.3517104759812355 min\n",
      "error D: 1.7867603673948906e-05, error G: -6.663552994723432e-06\n",
      "Time for epoch 99 is 6.408309265971184 min\n",
      "error D: 1.735720616125036e-05, error G: -6.706383828714024e-06\n",
      "Time for epoch 100 is 6.463840462267399 min\n",
      "error D: 1.0923746231128462e-05, error G: -7.695408385188784e-06\n",
      "Time for epoch 101 is 6.519902564585209 min\n",
      "error D: 3.7342288123909384e-05, error G: -6.448351996368729e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 102 is 6.603884596377611 min\n",
      "error D: 1.9374087059986778e-05, error G: -7.622325028933119e-06\n",
      "Time for epoch 103 is 6.659771915525198 min\n",
      "error D: 9.597549251338933e-06, error G: -6.997860509727616e-06\n",
      "Time for epoch 104 is 6.715075444430113 min\n",
      "error D: 1.161051113740541e-05, error G: -7.897446266724728e-06\n",
      "Time for epoch 105 is 6.771831814199686 min\n",
      "error D: 4.2067265894729644e-05, error G: -6.369262337102555e-06\n",
      "Time for epoch 106 is 6.8408995643258095 min\n",
      "error D: 1.1393171007512137e-05, error G: -8.359915227629244e-06\n",
      "Time for epoch 107 is 6.919333264231682 min\n",
      "error D: 1.1300787264190149e-05, error G: -6.573685823241249e-06\n",
      "Time for epoch 108 is 6.977866180241108 min\n",
      "error D: 1.3690802916244138e-05, error G: -7.544541404058691e-06\n",
      "Time for epoch 109 is 7.033469378948212 min\n",
      "error D: 1.5191728380159475e-05, error G: -7.5221983024675865e-06\n",
      "Time for epoch 110 is 7.105298265814781 min\n",
      "error D: 1.1340869605191983e-05, error G: -7.3960263762273826e-06\n",
      "Time for epoch 111 is 7.16338861361146 min\n",
      "error D: 1.4937386367819272e-05, error G: -7.184558853623457e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 112 is 7.250919863581657 min\n",
      "error D: 9.18264686333714e-06, error G: -5.835163847223157e-06\n",
      "Time for epoch 113 is 7.306506011635065 min\n",
      "error D: 1.5216864994727075e-05, error G: -7.1333938649331685e-06\n",
      "Time for epoch 114 is 7.36333530023694 min\n",
      "error D: 1.8683727830648422e-05, error G: -1.028718088491587e-05\n",
      "Time for epoch 115 is 7.42061698064208 min\n",
      "error D: 3.355479930178262e-05, error G: -8.135462849168107e-06\n",
      "Time for epoch 116 is 7.476504776626825 min\n",
      "error D: 9.235343895852566e-06, error G: -7.279602414200781e-06\n",
      "Time for epoch 117 is 7.5329771265387535 min\n",
      "error D: 9.948716979124583e-06, error G: -7.78019330027746e-06\n",
      "Time for epoch 118 is 7.589694730937481 min\n",
      "error D: 1.227833217853913e-05, error G: -6.799051334382966e-06\n",
      "Time for epoch 119 is 7.646184798330069 min\n",
      "error D: 6.310641037998721e-05, error G: -7.902524885139428e-06\n",
      "Time for epoch 120 is 7.702116396278143 min\n",
      "error D: 1.456207701266976e-05, error G: -7.664690201636404e-06\n",
      "Time for epoch 121 is 7.758189994841814 min\n",
      "error D: 2.2572070520254783e-05, error G: -6.989048415562138e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 122 is 7.840336613357067 min\n",
      "error D: 1.4556842870661058e-05, error G: -7.410899343085475e-06\n",
      "Time for epoch 123 is 7.8965649120509624 min\n",
      "error D: 0.007086726371198893, error G: -1.0057157851406373e-05\n",
      "Time for epoch 124 is 7.95479666441679 min\n",
      "error D: 2.037606645899359e-05, error G: -1.0215546353720129e-05\n",
      "Time for epoch 125 is 8.01167306303978 min\n",
      "error D: 1.5703604731243104e-05, error G: -1.293629247811623e-05\n",
      "Time for epoch 126 is 8.0680140145123 min\n",
      "error D: 1.6496152966283262e-05, error G: -1.3915043382439762e-05\n",
      "Time for epoch 127 is 8.124053377658129 min\n",
      "error D: 2.2072394131100737e-05, error G: -1.3570546798291616e-05\n",
      "Time for epoch 128 is 8.180699061602354 min\n",
      "error D: 1.3886765373172238e-05, error G: -1.2128912203479558e-05\n",
      "Time for epoch 129 is 8.236645478755236 min\n",
      "error D: 3.755469515454024e-05, error G: -1.3721847608394455e-05\n",
      "Time for epoch 130 is 8.292313680052757 min\n",
      "error D: 2.2937063477002084e-05, error G: -1.4509262655337807e-05\n",
      "Time for epoch 131 is 8.348266694694757 min\n",
      "error D: 2.4684693926246837e-05, error G: -1.4492898117168806e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 132 is 8.430493481457233 min\n",
      "error D: 3.119365283055231e-05, error G: -1.3996163033880293e-05\n",
      "Time for epoch 133 is 8.487342067062855 min\n",
      "error D: 2.1142685000086203e-05, error G: -1.6319589121849276e-05\n",
      "Time for epoch 134 is 8.546719465404749 min\n",
      "error D: 0.00022440777684096247, error G: -1.4546859347319696e-05\n",
      "Time for epoch 135 is 8.619088847190142 min\n",
      "error D: 1.6740845239837654e-05, error G: -1.332928968622582e-05\n",
      "Time for epoch 136 is 8.67636064440012 min\n",
      "error D: 0.0002693498390726745, error G: -1.3521668734028935e-05\n",
      "Time for epoch 137 is 8.731371380388737 min\n",
      "error D: 4.822684786631726e-05, error G: -1.7798265616875142e-05\n",
      "Time for epoch 138 is 8.802680261433125 min\n",
      "error D: 3.265549457864836e-05, error G: -1.4247587387217209e-05\n",
      "Time for epoch 139 is 8.869913399219513 min\n",
      "error D: 1.948433418874629e-05, error G: -1.431368673365796e-05\n",
      "Time for epoch 140 is 8.926476027816534 min\n",
      "error D: 2.110240893671289e-05, error G: -1.5476811313419603e-05\n",
      "Time for epoch 141 is 8.982033748179674 min\n",
      "error D: 0.00016440644685644656, error G: -1.611041989235673e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 142 is 9.065145913511515 min\n",
      "error D: 1.7075893993023783e-05, error G: -1.4530201951856725e-05\n",
      "Time for epoch 143 is 9.120634563267231 min\n",
      "error D: 0.00012551600229926407, error G: -1.45861049531959e-05\n",
      "Time for epoch 144 is 9.176431711763144 min\n",
      "error D: 1.7350950656691566e-05, error G: -1.4005903722136281e-05\n",
      "Time for epoch 145 is 9.232553992420435 min\n",
      "error D: 2.583921559562441e-05, error G: -1.465957575419452e-05\n",
      "Time for epoch 146 is 9.29256696254015 min\n",
      "error D: 1.7924750864040107e-05, error G: -1.5308258298318833e-05\n",
      "Time for epoch 147 is 9.351964380592108 min\n",
      "error D: 1.774538577592466e-05, error G: -1.4005464436195325e-05\n",
      "Time for epoch 148 is 9.411551546305418 min\n",
      "error D: 3.103084600297734e-05, error G: -1.4782524885958992e-05\n",
      "Time for epoch 149 is 9.467483777552843 min\n",
      "error D: 1.8262697267346084e-05, error G: -1.4674520571134053e-05\n",
      "Time for epoch 150 is 9.523711815476418 min\n",
      "error D: 2.0834133465541527e-05, error G: -1.5333487681346014e-05\n",
      "Time for epoch 151 is 9.583863127976656 min\n",
      "error D: 2.5575160179869272e-05, error G: -1.6888003301573917e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 152 is 9.674595426768064 min\n",
      "error D: 0.0002400076191406697, error G: -1.4795190509175882e-05\n",
      "Time for epoch 153 is 9.732709214091301 min\n",
      "error D: 2.0182753360131755e-05, error G: -1.5386001905426383e-05\n",
      "Time for epoch 154 is 9.795244932174683 min\n",
      "error D: 2.8085252779419534e-05, error G: -1.4037994333193637e-05\n",
      "Time for epoch 155 is 9.852436479181051 min\n",
      "error D: 1.8905679098679684e-05, error G: -1.74607484950684e-05\n",
      "Time for epoch 156 is 9.908872947096825 min\n",
      "error D: 1.933765634021256e-05, error G: -1.3408019185590092e-05\n",
      "Time for epoch 157 is 9.971830513328314 min\n",
      "error D: 2.08208330150228e-05, error G: -1.7640119040152058e-05\n",
      "Time for epoch 158 is 10.042449660599232 min\n",
      "error D: 2.4230866983998567e-05, error G: -1.5835346857784316e-05\n",
      "Time for epoch 159 is 10.099716693162918 min\n",
      "error D: 1.957254426088184e-05, error G: -1.6176243661902845e-05\n",
      "Time for epoch 160 is 10.155306749045849 min\n",
      "error D: 1.87770801858278e-05, error G: -1.4444423868553713e-05\n",
      "Time for epoch 161 is 10.21243354678154 min\n",
      "error D: 1.744984183460474e-05, error G: -1.5134657587623224e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ezCxxDnozs8Q56M3MEuegNzNLnIPezCxxDnozs8Q56M3MEuegNzNLnIPezCxxfTqysaTVwFZgJ7AjImokHQDMB0YAq4EzIuLtjpVpZmbtVY4z+s9FRHVE1OTPvwM8GREjgSfz52ZmViGdMXUzEZiXL88DvtIJxzAzsxJ1NOgD+DdJL0ialrcNi4h1+fJ6YFhzG0qaJqlWUm1DQ0MHyzAzs5Z0aI4e+J8RsVbSUGChpD8UroyIkBTNbRgRc4A5ADU1Nc32MTOzjuvQGX1ErM2/bgR+BRwHbJB0IED+dWNHizQzs/Zr9xm9pL8CekXE1nz5i8C1wAJgKnBj/vWhchRqe4/t27dTX1/Ptm3bKl1Kt1NVVcXw4cPp27dvpUuxHqQjUzfDgF9J+mA/90bEY5KeB+6XdC6wBjij42Xa3qS+vp4BAwYwYsQI8u8vAyKCxsZG6uvrOeywwypdjvUg7Q76iHgN+EQz7Y3AyR0pyvZu27Ztc8g3QxKDBg3CFy9YW/k3Y61bcsg3z6+LtYeD3swscR29vNKs09228NWy7u/yU0YV7dO7d2/GjBnD9u3b6dOnD1OmTOHyyy+nV6/s3Gjp0qXMnj2buXPntriP2bNn079/f84555yy1W7WHj6jN2tGv379qKurY8WKFSxcuJBHH32Ua665pmn99ddfzyWXXNLqPs455xx++MMfdnapZkU56M2KGDp0KHPmzGH27NlEBFu3buWll17iE5/IrkW49NJLufbaawF4/PHHOfHEE3n//ffp378/I0aM4Lnnnqtk+WaeujErxeGHH87OnTvZuHEjK1eu5Jhjjmlad8MNN/CpT32KcePGcckll/DII480TfHU1NTwu9/9juOOO65SpZv5jN6srdatW8eQIUOanvfv35+77rqLU045henTp3PEEUc0rRs6dChvvvlmJco0a+KgNyvBa6+9Ru/evRk6dCj9+vXb47d2ly1bxqBBg/YI9W3bttGvX7+uLNVsDw56syIaGhr45je/yfTp05HEUUcdxapVq5rWr1mzhltvvZWlS5fy6KOP8uyzzzate/XVV3eZ5jGrBM/RW7dXyuWQ5fbnP/+Z6urqpssrzzzzTK644goAjjzySDZv3szWrVvZd999Offcc7nlllv46Ec/yty5cznrrLN4/vnnqaqqYtGiRcycObPL6zcr5KA3a8bOnTtbXX/OOecwf/58zjvvPJ544omm9mOPPZZly5YB2bX2o0ePZtCgQZ1aq1kxnroxa4cLL7yQffbZp9U+b731Ftddd10XVWTWMp/Rm7VDVVUVZ555Zqt9TjnllC6qxqx1PqM3M0ucg97MLHEOejOzxDnozcwS5w9jrft76oby7u9zVxXt0tbbFD/22GN897vfZcuWLVRVVfHxj3+cm2++mUMOOQSAyy67jK9+9auceOKJzR7vyiuvZMKECXz+858HYNKkSVx33XWMHDmyHCO2vZzP6M2a0ZbbFC9fvpyLL76YefPm8Yc//IG6ujq+/vWvs3r1agAaGxtZvHhxiyEPcPHFF3PjjTc2Pb/wwgv5/ve/3zmDs72Og96siGK3Kb7pppu4+uqrOeqoo5q2Oe2005qC/YEHHmD8+PEA1NbWUl1dTXV1NWPGjGn604CHHnoojY2NrF+/HoBx48bxxBNPsGPHjq4cqiXKQW9WgsLbFNfW1u5y/5oVK1YwduzYFrddtGgRxx57LJDdtriuro66ujrGjx/PlVde2dRv7NixLFq0CIBevXrxsY99jBdffLGTRmR7Ewe9WRvtfpviQo2NjVRXVzNq1ChuueWWFvvPnz+fJUuW7DJds/stjX2LYysXB71ZCVq7TfHo0aNZsmQJAIMGDaKuro5p06bxzjvvAOzRf/ny5cycOZP77ruP3r17N7Xvfktj3+LYysVBb1ZEsdsUf/vb32bWrFm8/PLLTW3vvvtu03Jh/02bNjF58mTuueeePc7yd7+lsW9xbOXiyyut+yvhcshyK/U2xQMGDGDMmDHcfvvtTJkyhS1btjB48GAOOeSQpqt0Tj31VO68807OO+88HnroIdasWcP555/fdKy6ujq2b9/OqlWrqKmpAWDDhg3069ePj3zkI10+dkuPg96sGW25TTFkYX7qqac223fcuHFcddVVbNq0ialTpzJ16tQ9+jz88MOcfvrp9OmT/Ze89957ueCCCzo4CrOMp27M2qGU2xQXuvXWW3n99ddbXL9jxw5mzJjR9HzgwIHNviGYtYfP6M3aoZTbFBc6/vjjW13/ta99bZfnZ599drvqMmuOz+itW4qISpfQLfl1sfZw0Fu3U1VVRWNjo0NtNxFBY2MjVVVVlS7FehhP3Vi3M3z4cOrr62loaKh0Kd1OVVUVw4cPr3QZ1sM46K3b6du3L4cddlilyzBLRqdN3UgaL+kVSaskfaezjmNmZq3rlKCX1Bv4EfBl4GhgsqSjO+NYZmbWus46oz8OWBURr0XEfwP3ARM76VhmZtaKzpqjPwh4o+B5PbDLhcSSpgHT8qfvSHqlnccaDLzVzm076OrKHLaiY64Yj3nvsNeN+YqOjfnQUjpV7MPYiJgDzOnofiTVRkRNGUrqMTzmvYPHvHfoijF31tTNWuDggufD8zYzM+tinRX0zwMjJR0m6UPAJGBBJx3LzMxa0SlTNxGxQ9J04HGgN3B3RKzojGNRhumfHshj3jt4zHuHTh+z/GvmZmZp871uzMwS56A3M0tcjwn6YrdUkLSPpPn5+mcljej6KsurhDFfIWmlpJckPSmppGtqu7NSb50h6W8khaQefyleKWOWdEb+b71C0r1dXWO5lfC9fYikpyQtzb+/J1SiznKRdLekjZKWt7Beku7IX4+XJI0tawER0e0fZB/o/j/gcOBDwIvA0bv1+Rbwk3x5EjC/0nV3wZg/B/TPly/cG8ac9xsAPAMsBmoqXXcX/DuPBJYC++fPh1a67i4Y8xzgwnz5aGB1pevu4JhPBMYCy1tYPwF4FBBwAvBsOY/fU87oS7mlwkRgXr78S+BkSerCGsut6Jgj4qmIeDd/upjs9xV6slJvnXEdcBOwrSuL6ySljPl84EcR8TZARGzs4hrLrZQxB7Bfvvxh4M0urK/sIuIZ4E+tdJkI3BOZxcBASQeW6/g9Jeibu6XCQS31iYgdwGZgUJdU1zlKGXOhc8nOCHqyomPOf6Q9OCJ+05WFdaJS/p1HAaMkLZK0WNL4Lquuc5Qy5pnANyTVA48AF3dNaRXT1v/vbeL70SdA0jeAGuCzla6lM0nqBfwAOKvCpXS1PmTTNyeR/dT2jKQxEbGpolV1rsnATyPiVkmfBv5F0jER8X6lC+uJesoZfSm3VGjqI6kP2Y97jV1SXeco6TYSkr4A/C/gtIh4r4tq6yzFxjwAOAZ4WtJqsrnMBT38A9lS/p3rgQURsT0i/gi8Shb8PVUpYz4XuB8gIv4DqCK7+VeqOvW2MT0l6Eu5pcICYGq+fDrw28g/5eihio5Z0ieBO8lCvqfP20KRMUfE5ogYHBEjImIE2ecSp0VEbWXKLYtSvrd/TXY2j6TBZFM5r3VlkWVWyphfB04GkHQUWdCn/LclFwBT8qtvTgA2R8S6cu28R0zdRAu3VJB0LVAbEQuAuWQ/3q0i+9BjUuUq7rgSx3wzsC/wi/xz59cj4rSKFd1BJY45KSWO+XHgi5JWAjuBv4+IHvvTaoljngHcJelysg9mz+rJJ26Sfk72Zj04/9zhe0BfgIj4CdnnEBOAVcC7wNllPX4Pfu3MzKwEPWXqxszM2slBb2aWOAe9mVniHPRmZolz0JuZJc5Bb2aWOAe9mVni/j+8AlYQOkBjcgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 162 is 10.312637761235237 min\n",
      "error D: 3.8102283724583685e-05, error G: -1.472302756155841e-05\n",
      "Time for epoch 163 is 10.375823564827442 min\n",
      "error D: 3.7378249544417486e-05, error G: -1.5165865079325158e-05\n",
      "Time for epoch 164 is 10.437780633568764 min\n",
      "error D: 1.8488106434233487e-05, error G: -1.6213009075727314e-05\n",
      "Time for epoch 165 is 10.50472454726696 min\n",
      "error D: 1.9420116586843506e-05, error G: -1.4898930203344207e-05\n",
      "Time for epoch 166 is 10.586924098432064 min\n",
      "error D: 1.646173041081056e-05, error G: -1.3927181498729624e-05\n",
      "Time for epoch 167 is 10.645625464618206 min\n",
      "error D: 2.1322812244761735e-05, error G: -1.837863601394929e-05\n",
      "Time for epoch 168 is 10.704027261584997 min\n",
      "error D: 4.197026282781735e-05, error G: -1.6437028534710407e-05\n",
      "Time for epoch 169 is 10.762722082436085 min\n",
      "error D: 2.420193595753517e-05, error G: -1.7420306903659366e-05\n",
      "Time for epoch 170 is 10.81633223220706 min\n",
      "error D: 2.1693944290746003e-05, error G: -1.5938678188831545e-05\n",
      "Time for epoch 171 is 10.872671462595463 min\n",
      "error D: 1.9305873138364404e-05, error G: -1.4988348084443714e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 172 is 10.949832111597061 min\n",
      "error D: 2.449203748255968e-05, error G: -1.6036525266827084e-05\n",
      "Time for epoch 173 is 11.00076249614358 min\n",
      "error D: 1.8581489712232724e-05, error G: -1.5196550521068275e-05\n",
      "Time for epoch 174 is 11.052258461713791 min\n",
      "error D: 2.41969246417284e-05, error G: -1.8532631656853482e-05\n",
      "Time for epoch 175 is 11.105008497834206 min\n",
      "error D: 1.3674401998287067e-05, error G: -1.2492096175265033e-05\n",
      "Time for epoch 176 is 88.05186899751425 min\n",
      "error D: 1.9862678527715616e-05, error G: -1.5893492673058063e-05\n",
      "Time for epoch 177 is 88.10008676350117 min\n",
      "error D: 1.6842346667544916e-05, error G: -1.5041679944260977e-05\n",
      "Time for epoch 178 is 88.14636531472206 min\n",
      "error D: 1.9222194168833084e-05, error G: -1.546566818433348e-05\n",
      "Time for epoch 179 is 88.19287038221955 min\n",
      "error D: 1.744231667544227e-05, error G: -1.2742619219352491e-05\n",
      "Time for epoch 180 is 88.23931168019772 min\n",
      "error D: 2.1791633116663434e-05, error G: -1.8053124222205952e-05\n",
      "Time for epoch 181 is 88.28548492863774 min\n",
      "error D: 1.762661304383073e-05, error G: -1.602569864189718e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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9RokH78O+RHd6l8TsM6zirIucfzNMGMspYx/br2r9rAzVRrkBZTm8BzP89eMoy6GMgON3JD2h+zPJaihJ6KR+ehak8dk/T5lE2QfpQma/7fMeZW6c69J44Hza+zBlNSmTLeUArGP/jm5vzpW0Ga9Lu/TjzlpCMJtBPWXmTTIjrg89gyXbk+1O26Q5qMsRWC/2Ja6nI1lYkqpyHWOZz9vnudkMsmdNtxXbm+3Avpcyp3fZEscBr8U+zXZI8tKqdfhMSg85jz766KNLmetdJ8mY+ewz4cV7/c+aFEa1/50kYUmu09cF2oZjj/Mg1yWu96MxQTsxazTrS1l31VpKmuZL9h/WdxSWdCZkqb/ci4iIiIhsBDf3IiIiIiIb4dxkOclFVrV2CdL1TBctXTSUFHzsYx9bXYtukYceemgp081FiUzKXFe1lhUwqxnrSHdbdynzOLpleByzEdKF2iP3HMrVyfv0KBpJypAyqdFOlHRUZZcV7/Hkk08uZfYZRkSpWkfIoc0oi2K/6Jka6Rqly5MyELpo6U4/pAs6MZtlkOOM/esjH/nIUu7SMrYnxxDdl3feeedSpl3/53/+Z3Wt+++/fymz39OdzUyQPSMnJQqsfxo3KQNs/667jE/LSSJV8FnpQmabJ/la1ToKC23zuc99bik/++yzO8vdzf3qq68uZY4VlikB6OfzWVgXzoeMPpFkElVru+1TQjArK2G/oZ14DsdjlxDyOM5JbA/Ob5xbRxGf2ObMhsr1qUf2SNmrOQenaEu9LueV6XSUeZrtk7Kop2ftxzF6DecoyuFSNu+qqg996ENLmWOVfZrrDftW1XqNo6yD4ytFzukcSuI7kuXwubnPSPMKbdkjUPW58AjuGWhLjimufVXrscN7piiAfe4jfBbalmss54NRdu4Z/OVeRERERGQjuLkXEREREdkIB5XlpIgeXe5Bd0RypdF9QRdkd9GkZCJ0A1EiwnJ3hTGiBN+KvuWWW5Yy3W/9DfcUTYF1ZFuwvbprePTdWXKSqAcpwRblFiN3O92MdHOx/WgLyq2qqh577LGlzOggdIVSOtIj9/D+lKHQTnRbs/91t+ahZDqj6B6sU0qUxHbiGOqSJbYN25nj+a677lrKbNvuMmf0At6T44lu7i7fo8SB382430/r8jwL+ryXIl2kyFr8vEuW6J5nH6TEhu3P8dSjR3HcMsoU78H69ogwlLalKCU8Z9SXz0OO2Md0iuzBPsWxxTHUIzaxf7PfU4rDscl1p9uJ9eK8SdkApTiUFlaNJalH0E48pvflUfvtk17vvoYfwfZJa3Gfrzj3MZoR25HXpW37mEhJMFnfJNetyhH2uEZyHhxJ3cihxlfvLylKUZIWsT16nSmZSYnh0l60jynKcjjWubdjfbvcOMl6aXOO7x6pjBxXLuov9yIiIiIiG8HNvYiIiIjIRjioLCfJarrbju6T5CaiK2QkHWF0ACYD+cxnPrOUH3744Z11ueeee1bXonuT7lG6AulOpeuuau2epfuFrvIUcaG7scih3nDvrv/0xjnh52yP7i5lJBu6zNhmdIvRZUn3Z9X6jXdGnWAiEd6j14V/s86U6PC5zisyRHqzvrum6Tam25b9jlFU6Fr8xCc+sboW++G//du/LWX2Z9rs1ltvXcpMAldV9alPfWops22TfI5uzapsQ0o/kgypw/scUkZA2I/otk3JrVjnHo2Df3N+Y39mhBy6ubt0hFIOuqlpD/aLnsSK7U479yRMR9Cufd5LEoSzIK1JfXzTPc6+xj7INqRMgEnZqqpuuOGGpcxxxwgsSebIpDpVVb/1W7+1lNk2bHOuT6PESLxPl8PtOqbb6TySLO6CfY8SDa4FKXJJj8LG43g+25rjiPNgHxNc7zh3Mwof27SPb65rPI59KM13Xd7B/rXPxHCjRFqsQ4pWx3bm+OjzQJLZJKkZ+yelilXrNTIlxOL5jHxUlSP08PmTXLu30XElU/5yLyIiIiKyEdzci4iIiIhshIPKcuh+YLm7PelWoeuWbglGbaC7rCcwoDuMLrPnn39+KTMhBI//67/+69W1Ll26tJT/9V//dSk//vjjS5ku0P6GPOvJ50ruopQwpGq/0QiS+6ffh3/TZZXezE8RiqrWbspnnnlmKdNmdJnyc0o/qtYynb/7u79bykw8Qtv0/kc3J8t0c6Y232dinVl63SjL4XNTRkCJBt3RlKJVrd2cn/zkJ5fyI488spQZiejP/uzPlnKPZPXpT396Kf/t3/7tzmv90R/90VKmJKRqLblJsjX2ZY6zNOaqzk9mlerEdmP7MxJRj2pE9zqlPHw2fp6iu1St563RvH3ESL7HMufAJP3ojObE05Ku1yWHaa5L8ybntt5mlDzxWrwnJVqMsvKHf/iHq2tR4kP5FedNrk89YhTvmSJzpASF/blOEmXtOKTr976X4JxI+7BPUiJTtd5zcP3iOZQ6cV2iPLhqvU+hxIaRUzjuKEPp53MeT+ttkoTsm9m9RJIGpWg3SWpatZZMJduSFKWsKksK+VxJgleVxxHnXj4779/H53ElU/5yLyIiIiKyEdzci4iIiIhsBDf3IiIiIiIb4aCae0KNXtc5JS1n0mJRm9YzfFEP//TTTy9l6pyo36IWrGucbrrppqVM7SM1+8xQ1+vC8JnUeVG/R+1wyrR5SFImt6rcVtTAURdMPdpshlDq5KilZyjUrtdlf6CdHnzwwaVMLd0oFGbKSkvbjMLz7VPfmEJo9X6btHrsg9T18t2Ev/mbv1mdw/B7PD9l9WXIsN4WDN1H2/D+jz766FL+0z/909X5DDvGd2hS35q1xaHG2uhdI9aVulFq7jmeevhKan8573Cu+fCHP7zzmNtvvz3Wk/XiXMdQfX0+Z//j2GSfTZk5O6ku+2SkuWe794yvR3Cc0pb9Wl/84heXMt8p4tjkHNT7Occg1zdq7keZhPmuE6+V5r1ROOCzDqnYSbbvn7NeLLPvcR5hpmbOSVXrfsn3f2gHhttOY7iq6vrrr1/KSQ/PunRbU1fOeiX7jNbxfb6/l/rBqH+kd4/Yhuy7o6zPfGeM7cl1hW3ZQ5ayLrwPxwTfUeM7NP3a6X232b3QcW3jL/ciIiIiIhvBzb2IiIiIyEY4N1nOyMVA9xldmnRrMFwbXWTdPUj3ZpIxUApDFyYzO1ZVffSjH13KDDvGEJmvvfbaUqYkqGrtiknh0VhHusv6c+0zqxzhtbvLkzZkvemySi5duoCr1q5nZnGk9IP3o/2YXbVqLRf4/d///aXMcGIMc9ZDnqWwiin054h92ia5mXvdUihCygh4Pu30n//5n6trUf7CZ7v55pt3fv7EE08sZY7F/ndyU1Pi02VuKRQmx3DqoyP51FnLPdK1+5hmyEvKV1jmvEFZTne101X8wgsvLGW2E+dNft7lJSkcHOvPuvTxMxPqlzZjOMBup32GKU3zSw+vyONSSDueT2nA3XffvboW5z2GgGVmTN6f8yltUbVuQ/YTjrOeNZ3wWXitFAo1PXvVfqUenVE2XPZF7h9SiELKkXqGWsI1n+1Dm1AG0tcY7l84dtmOKTt61Thz/BEXQYbI8TpaC9mvkmSWchuu5V1Kw70Z7fz5z39+KTP0M+/XJb5pzeeY4ljl3FW1XhcpiWT40yTxPa3UzV/uRUREREQ2gpt7EREREZGNcFBZTnJPd9crXVN0hdD9QukF3dn9rXRGyHnyySeXMt9q5vnMJNcznzIqDqNRpMg9dKFWrV0+dP+xnFyMvY3ootlnpsaRG5wuL7ry+VY57ZyiClSt3VR0VRNKnthmdLFVrd2Z99xzz1JmtCPWt7uq6cqlDVNW21Gmxn1HjTiCtpiVcNE1zCgsqW9WrcdAigTAscV2pqu/ai0XYf0ZxYXjsT8X+xn7DD/nmKP7+yJEn+pjOskG+DmzZLJt2ZZV64hDyZ7sF7Q/57CqtSSA5zOSFWU5ffxyfHZp1i44/nobjSQY+2Ik4WKf4prEPshj6MLv8HnYBow4lrKOVq3HF+c6fk4JQLcz+xNtzr6Y2rxLQPadETWtS/3zJFmh3IPyGa4xvX3YjlwzOCYpHeF+pUslOUemzOccR10ixOfknidlgB7JPfY5L6br9XWRdeiZzI9gm3Pt6lGf2HfZBklmRYlPz87NcUiZNvsJ94k9Cy7nRY4vzhWE9jtttnt/uRcRERER2Qhu7kVERERENsK5yXJGn6fEQXSZpMRVdJdUVT311FNL+f7771/KlOj89m//9lL+xCc+sZTpDq1au5fpVqMrhq6U/hY33W90Q/EZeQzdod0FOyudOQnJTt3FliJ/pKhEdEv1OqeEHbQzpQMs92t94QtfWMpsZ76tzrpQXtLPofuwJ8vYdXyvyz6jexC280hGkCJv0DVJ9yXlZ1VrFygjA6SoCLRTl6mxzikhEu3UXbkpwQjd2T3KxK5zq07vAh2RpFmj5EiUAKToTZQc9cRPKSEWP6fLmO3fx3nqM2kO665t9iHO1Xxe3oN9qcsZeJ+zlhCkea/bKUWcYl/nOKFE6pOf/OTqWpRxsA9y3uMxHHNcw/r9KUfkvMfkPaPIOewPtE2Sg/Z5jt/tQ5aT+vQo0SLP4ZrNPsa5o0snOCY5r3DPQVtxfHVoR45v1p/9YRSxiefzGTkn8pg+bg4lb2Pd+pzGtYB9n+ewzSjr7bIc/s15kfbj/Rg1rLcFo71x/8f+Tpv3eZh9i1Iw2jPJfUfjZsZm/nIvIiIiIrIR3NyLiIiIiGyEg8pyZt+cpjspySfoSqGLjIkKqtbRCehyo4uGEXWYeKpHCqFbhS4zupjo7utvfac60w3Feu0zsc4sSW5TtXZPJxdtkqz0JCLpWenapD0YdYOJIqqqbrvttqXM9qSUihEGulsvuW+TDGk2MsQ+bZhs0UmJethXmXSnu09TEqUUkYWJeSgbqFrLN3gfPgv7T5cR0B1Od2iSEYzkU/uMwpIkS6P7pKgobIPk2q1a93vek/Mp50O2TU+4Q2hzXpdJ6XqfoWuaNuN8yrbgs/S1YZ924vhM/aZqbQ8+a5oruQY9+OCDq2tRAkf3fhqDlCaMZF2ct9hOHJsjO1NSyrZI0TxGycYOmcRq9jjammOFz0EbVK1lcGwTrkVst9Snq9ayEq5LvEeqY78n7Z5koLx/X4d6PzoE3WZpjuReMPXj3jZcyzheOHfyfMoGe9Qxti3XGI4vjs8u3WV/op0pT0ztf9px4y/3IiIiIiIbwc29iIiIiMhGcHMvIiIiIrIRDqq5J0nfWLXWGlE/Rb0otX8Mo9h1udRyUbNP/S81V5/+9KeXctdC8f7UTFFXxVBto6yy1GylDHGz+tKz1nIn/XzXyfM4PhvbhtpCth/Ds1Wttby8J+358ssvL2Vq5qhVrVqHgWO4ONaFYc56WERem5q9pG2kzq6HwiL71AjPvs+QwioSarm7hpB25tikzR977LGlTJ3hpUuXVteinThueH+2GTXaVWs7pXByqe5dm8qxus8sjWnMVOUwdqwr5w22R7cTj2M7UfNO+6Xww/0c9m+OG+rKe9i+pLPneOK1UlbRzlnPe6M1ifA79js+D9uWtulzDd+9SjZP4Xy7nfhOF9dEzmGj+YljmHVJ75fNhvndh+Z+Nlwz68gyn4PrAtt0FCI5zVEpVGvPXMp7Mus368Vy749dZ34E5/5U7uFlD0V636sq7x/YD9m2ozWNbcO5J4WwZZnvPPS/OXbYhnyfoc/DKUw7P+ezjN43Ou67Ef5yLyIiIiKyEdzci4iIiIhshHMLhTkKsZigi4Tufp7fXU7JZXLjjTcuZbqIRhkAGbovufF5v+5GobuILp4klUgZ5qp+2b17CEbhA1kflhmyiyE/ab9+rRS6L4XU622TpCMpI2NvS16PfY7l5KKlu63qcNn/RrIcksZKCmXZxxOfL4UEpPQihSKrWvcNZoNmOzNcX8/4mEKTsY6pXfpz7TPjc5LljEIZ8tlojzTOeqg9nk/JDGUgbDNKEHpmTo7bJOug/V955ZXVd+wDtA3LSe7RbTGSy5yWWUkk5QEpmy7LrHOvf5J6cmzwHpz3eh/m+kJZDuWMHJtd1pOytqb5JGWJ7d/tgzSvjvYSSaaS1uWUkbwfxzWG16LcZmQrXovQ3QjPAAAgAElEQVRz38hWDLmZQnSmuWKfY6hzEukon4fzWsqOzf5dtV5n2LYM/Uub0TY9PGzK7Mv6s205Pqt+WUp6RNo/ss91idBxx5S/3IuIiIiIbAQ39yIiIiIiG+HcouXQFdGjIySXB92WdGvRdUK3c9XalXPdddctZUpsUjbHnqGW9aJbhS4iurC7eztF9EgRKHhMd8kcSu4xm+2UNkzZCVOEgqp1W9NmjA7BtuHx3easC9uNx/Fa3eWZsqUmtxiPGUVhOWu5xyysA/twkn6M3Kc8h+3Jz0cRJwjlGknOluQ2/W+6Q1N0kNFz7dM2qd+M6sA+yGdg26SIGZ1kmxQxqo8n1p8ZijlXcjx3tz/tRDf1TMSPkSt6n1GNRrLRmWhiaZz0tY5tkKSWvNZzzz0Xr0WpAW2Qoh3152LfmJn32Bd73Q+1PnVGMi7ah21HWcYomhXhOZS9PfXUU0uZ7Un5VVXOPsvrch7rJCnoSAL2qz4/T2ailSX5cpevEMpcON8lWc+oH/OctEaNItqkvVAaX6MokjP4y72IiIiIyEZwcy8iIiIishEuhCxn5J5OyQro3qX7okdzSK7jlECF9DfcU6QC1neUACi5ciiJSBEIuusmSV/2yax0gXWlu4226G+R0zXJc2jP5DLtCUII3aEp6VGX5aRIRsnlOXJzHso2rEPvK8l9zjZnIjf24S5NI7wP7Un7UcbRZQCMCJIiPtCV2qPt0B1N6QPLKWHLKFrDWbutZyPx8LiUJC/ZskuWeE4aj2Rk8yRtSlGVevvxO/a5tAawvoeMCpYi5IyiT6W5n+1M2/QoYez3lHRy7UhRwnpf4vlsQ45tfs7j+3cpukqKwHJoyWEaU73vpfUnjS+2SZdY8G/ahPsKjhX2h77GpPukyDl9HMzIplLSvj4H7DOyEe3E+4zWKK65STI9SnSX5sgUKW4kjeM5tMdMv+qM9qm7rjtKgjqzr/CXexERERGRjeDmXkRERERkI5xbEqsRSXKSXGkpiVTV2s1Ct356c3mUEIvyj+TyIt2dm+QmKVECXVe97UZJVk5LcnN2N1E6jm6xJLHqb7gf9w35kSwnJdfiPemK6y6+5PJMzzgr47gIEY4In5ORGUaJYGYkE2ybNM6q1vIZyqc4NlivkZ3YB5LLcyQdOFRypJHblfDZ+DxJItHHU0rYQxtwfmP7j+qV6kK6y32mz8zKEfc5783eJ0kcTpLkhtImRrsZSYGO6NGGnn/++aVMGUiSI/b1LY0PHpcivo04pGRnFK0s9eu0XvRoNWk9TsnxaJ9ud9o6RSkaSYfTWjSTrOq8oraRPq6T5CTN5aMEakmKQ6lbkqf2dqZtU3RAjom+xqUxMiNpmx1fifO3soiIiIiInAlu7kVERERENsK5RcsZkdxJyQ0/cjMlN1e6H90wPWoEZUG856wsJ90zSXEuQhSW2egeyVU984Z4VXZ/JTfwyD2ckgGNXHmELrckg0jSk5EL/6xJfaDfMx2XbJNkJP2cmXE6cj+maC+8Z5LMVa3tmcZ2csXvM0JEZ3asJvnKKCrOESPX9EzSpdTP+7WTHC5J8apyIrdREqRdda86nN1mIxyN2u2IUZ1TBLiUFJD3632eYzhFJWKbdylXmveSPOQiyDuOQ5LV8DlGUhgeR/lvGqujtuLYSRFhZterFIVmRjp8Xsyukyla4iiKFr/jHJfmm5FcmG2Y5FOjyEUzc1yq42nnuotlcREREREROTFu7kVERERENoKbexERERGRjXAhMtSOvkta7qR/7vA7apuSxiuFxRrdZzYkXPpulF00cSjNPenPmdpwlD3uiNmMezOh73qbzWjjZzV75CLb6ST3mcm42zXrMzZI4QF7u6Zz0jhPYVGr8tg8iW7xUPrUUZjHRHrO/vmM3pb6Ymr5R/VIofZG56T5MY2nUfbtQ74rkZjR458kPG6aq9J1+z2STj69H9bbkpr9Gb337DPuM8xs1Xy29pl1evZdi/ROS7r/aC9x2jXiuJmV920Pkp5tJtRrPz/1w1k7kZO8zzB6HyMx09ZpTJ+2X/jLvYiIiIjIRnBzLyIiIiKyES5khtoUGnLGPThydadrzYT368yEQuyum1SXi+BqnuG0coUU1uq09zzr9puReJyHLGqW2bqlfj/rsiQzocxGnGQ8pvFEksRoVK9Dua3PUnLSr5WkUYnZ+Si5jU8yN5xkDM3Y/Kw5rdRjNrxxuu6MRKeTwmemOs5+N3Pd8+Qkc99JSOt/kgiN7pfmpYscyvIknCQk8Ayjtj1uduxex2TDGfvPsq8M97/+PUZERERERKrKzb2IiIiIyGa47NdFEiIiIiIiImP85V5EREREZCO4uRcRERER2Qhu7kVERERENoKbexERERGRjeDmXkRERERkI7i5FxERERHZCG7uRUREREQ2gpt7EREREZGN4OZeRERERGQjuLkXEREREdkIbu5FRERERDaCm3sRERERkY3g5l5EREREZCO4uRcRERER2Qhu7kVERERENoKbexERERGRjeDmXkRERERkI7i5FxERERHZCG7uRUREREQ2gpt7EREREZGN4OZeRERERGQjuLkXEREREdkIbu5FRERERDaCm3sRERERkY3g5l5EREREZCO4uRcRERER2Qhu7kVERERENoKbexERERGRjeDmXkRERERkI7zhkDe74YYbfnFW17rsssuW8i9+kS+bvnv961+/81o///nPp66b7sHzX/e69f9Oqc78/LS88MILp77YX/7lX56ZnRKzNmPbpHZim8+ec5K6sEzbnsR+//AP/3BqO1177bU7Kz6qT2rb9Hnvwz/96U+X8s9+9rOpe6ZrzZwzGufJbsn+7Cf93qkuL7300qntdO+9957ZeJqdk8hp55c+vnZd97T1Om0dH3jggVPb6c477zz2Q6S26X39iFG/S3PN7D3ScbOkOh/3GUc88sgjZ7LYXXfddTttNeqHM+vHqE8mm4zmy13H93Nm1ruT2DY97+i5+N1ZzH2/93u/d65zHzntHJPG5+w9jruvmeW+++7beQF/uRcRERER2Qhu7kVERERENsJBZTknIbm5Zl00SWbzhjf8/6NTojO6R3LLnMStklx5M+7Yk95zn6T2SG1LeUc//7ju3lE70c6E9xidn/rPvmRVZ0F/nhlXMdvpjW98Y7w27fmjH/1oKf/4xz/eecxsvSjxSffrtkw25LVmXe6/LpzEHZxg285K0zhu0xzW7Twr+dp1zEVnxtWe+nbVnA2ShLQfn+a6n/zkJzvPOa2sZ3T8aWWLx2FWipPqkdbfkd3S/WdlNanOI1lvOj/JI3l+mpP7Ob8ujOo8I5lK53eb81rJNrPjIB2XbHNau/jLvYiIiIjIRnBzLyIiIiKyES6ELKe7qGbf8t5Fd2Ul9xePSxKdLh1JLha6PWfdsZQ+sMx7jqJ7XARm2ja5lDtsK9pjpj1HNk92Hrmn+TflJrTzRZN7jN7kT+7A1AYjd/CMrIIkW/b7p+uOXMu8NscNbZakeLNRDc6LmbaZlVHMSHnYNqN5q8+Ju641+11yc1/EuS4xs1bx2VL7VWVZDfs9yyOpR3L1//CHP9xZx1GdE6eNznOezEidKDusyvKX4/aBqiyJnI3cl2Q57F8z0uN+rX2Ovdl5Ncl603o1G0XtTW9601Jm26T1YnTPxEnm5H21v7/ci4iIiIhsBDf3IiIiIiIbwc29iIiIiMhGODfN/Wl1rdSp81rUT1WtNVBvectblvI73/nOpfz2t799Kf/gBz9Yyt///vdX1+L51C7yntS/9Wec0TXPhv48D13qbMixpB3l529+85tX37GtabO3ve1tO+9PPeRb3/rWWBfag/Zj+Xvf+97qfPaB9MwpZOlI23heJH0o+xrbkG3T+2Pq60lLTJ1jtzltyDbk2B69szGjdeU9aLMe7vMivDdB0nhimW02ej+INqDN2Aa0fx8PtDnPme33qZ+k9ylG74+ch51GIVxZbz4n388ZhZlN7cExSEZhajlvsc593O06pt8/HXeSbLknyWT7qziJfjuNI8K26uvKN7/5zaWc1qj0Xle3WwodTLuPwnLS1uxDaeycJCP8WTCzfnbSOybpvSC2RdX6GZI9k/6+X4uk+Y514b6w1yXtS9J7YZ3j2sZf7kVERERENoKbexERERGRjXAhQmF2d0MKc0SXBV1hdEt1l3KSZSRJAt1n3TWaZDV0saUMjlXZFTTjtrwI7ulOsk1qJ7ZtdxWzDZNr7B3veMfO87urmO3Ma/Gcd73rXUu5t9+rr766lNl/KN8iIynWoWwz6g/HDYX4nve8Zyn3MUA7vfzyy0v5O9/5zs5jaAvar2rdnl1Od0RyOVetXaO8DyURlOWMMiePws6dJbMu8DSekpt6JFlK8pvUfv1adDWnUL2k2zLZcCZLZJ8b9zmeZqUkSdqU1gSOoS71YNsmKVWSA/RrsS7f/e53d9Y9SbSq5tp2xv6dfYfMnA1rzLZL4UnZBldeeeXqWjzu29/+9s5rsX1nwzUmORY/7xLhJMlL8rhRmNRDhdyelfWStH9g3+39mOs894mXX375UmY7p7VnVOdUF649/bskuUmyt5FEZwZ/uRcRERER2Qhu7kVERERENsJBZTmzb07TbZQyudIlSddHdwGmSA9091AeQLfaa6+9troWXTnvfve7d173K1/5ylLuLhoex3vSJZUyCI6yEe6T2Tfu07Oxzegu667BFK2DZV7rve9971IeveF+xRVX7Kwj79/lIlddddVSpvs1SSJ4/+4inM3QexJmJR6s04zLkrKcm2++eXWt5A7++te/vvNz1vF973vf6lq851e/+tWlTCnNyDWZorCkiBMcj91OF02Kk2QySZrY24lu/BSxiO3BMdDHQ5LM0U4cp11CwPrz/BQ9ImXZ7OccSqLTSfNAktLwGEZpq1qPNbYb70F5yEiWQ770pS8tZUZ54dgYPWPKhMy+kCJRHYKZ7OhVOUIbbcVrse9fc801q2tRyvnoo48uZa7ZN9xww1Lm2tOjqHBvwXHIe4z2NQmuV7MZyC9adLCUVZ7r90hiyXHxgQ98YCnTtmmsfutb31pdi3ZL68dIRpj2D2l8nUTKlfCXexERERGRjeDmXkRERERkIxxUljMTHaH/nZLr0MWWylXryCfJvUgXB11p3d2T3KN0lzBKQZf1sG4pGUmSIXQXzcgVdFqSFGfkGkzfJZvRpduPS1FAKEOgLKe/7U5XGCVC7Eu0U2+/66+/filTZpVcniPZxaHkHiP5FJ+PNmCbs29fffXVS/n2229fXYv99hvf+MZSfuqpp3bWkTbr8inehzZnO1P+xmtVVb3yyitLmeM8tUVKwNWP22cislFCoDSOk7QgJeXr5/DZ6PZPEcN4TIcSD7qwKaXpcsRZadSu40fz3mmjSczS7ZISKBJKzkY2pw2TVOT973//znv39mPb8v4p4VGPhMVrjyLQ7WK0hu/bTqNIV7Qd52a2NdcISjK7jJDncLyw3XkOJSF9jWKkMc5dHN+0QR+TfOaZhJqpb3X2KR2dlYGRdE6SWFet5TdsN46JlOiK603Vuu9zvZuRF1at7ZHmgZkkcR1lOSIiIiIiv0G4uRcRERER2QjnlsRq5IpILj26TFLUB7qy+t+8VnJ/XLp0aSnTHdrv8+yzzy7llOTlxRdfXJ2fksak+vL4Q0b3IKO30tMb7ik6C92UdEVWrd1fvC7dnylqCF2pVeuoE5Qr0J6MJvH888+vzqdkiHKVJL8ih0yOlMZQv09yYVKCdtddd+0sM/pD1VqyRJnMc889t7NMt2h3TdOGvA/HFtuzu8m7rOAIPiPdpyO5x2wCo9MySr5CUsSIJLHqbnuOFfZnRgDheODzd8kgxxBlaoS27XZmXTi/sV5pnr4ICfr6WsE+ye9oT84b11577c5j+vnsz5Q/cX3hXNfrxYhTlLxRdsJjelI+9iFKrpigLvXZ/vlMYqXTQPvw3qOEmITnsH+z3fq12C+5T6D8ltfi/NrnG/Z92pHSEbZhX2+4fnJf0mXJR6RILVUni8pzWmaj/yX7JYlUVY4IRykv758iF1at9xK81te+9rWdx3QJGuuZJDppn9fb6Lhzob/ci4iIiIhsBDf3IiIiIiIb4ULIcrqUJrme6ebi+cmFWbV2y9N9QxcL3TK33nrrUr7llltW16JLmpE6eE+WuzsyRbegWy1F8Rm5sfbpuk7Sm6osM2KZ7UxZRbc5bUjXFl2etCUlWt0VxralFIjSD17ry1/+8up8ukxTohgew2uNJGb7jGo0cqfyuJRwi3KNkZSGsoA//uM/Xsqf/exnlzLHCdvp7rvvXl2L8h/W6zOf+cxSZuSc3s8pK6EMgi7sJF3q/S+5Sc+alKypKicwSdEY2LZ93uP5HIOcQ5lAiXS5E23OsUZpAOUePYnVDKkvd5kBn/9Q0sTRmE4udbYT15QO5zfakJ8nCUmPkMR2Z9/g+kbZRz+fkpQkEaJcZ7Q2kH3YKa153Vb8OyVAS8kxKUeqWtuHY4dyD/YHttsoUWKKwsd5lNF1qtZJA1Oix5RA8ZAS35SIczT3zUSQ4vFs/6r1nJGiH9G2o0STtE2K6JbGRNW6PyXp7Mz+r99/Bn+5FxERERHZCG7uRUREREQ2gpt7EREREZGNcFDNfdIcdf0VtUUpzBW1WNRM9WtRJ0dtHXWo1FXxfOqqqtbhjxiuj9k5qYXr2raU2TCFF+Pzdl3cPjX36XpdA5baMIUcZblrEGlPaghZTvr9fi3ajVnleFzKSli11qvy/tTDpbCKo1B3+wyxSLpmnBpEam4J3yG56aablnLPNsoQotTosg1T9r+uuf/4xz++lDluGErz8ccf31nfqnU/43Pxc45/2vW8sjSSke4/6brZh2ibnv2XfZUaVmpAOQZSNst+Pu3MEI+cD0da5dQ3+Ox8rpHOdJ/vGs2+G0HdOuenlCm06+8Zhpf9nu9GcN2gFr9nbOacyLWK9+c46een7MUpm3qyX7/nPuyUrtnnK9qBz866s3+y3j1U6NNPP72UqbP+0Ic+tJSpxefa099j4d98dyXNzyOdPN+1SOOLc19voxR29yxI46hnqO9j7IiUYX605nKdZ+hmvn/Hd4TY/r1e7PvsS+wznC/7eyy0RwoXnMop1PMs/nIvIiIiIrIR3NyLiIiIiGyECxEKcxTGL2Vyo+uFbqUupaH7hG5HhtGjq5RulX4tuuUoF0ihqHpWOdaF5yRG2WH36fZMMoJ+H7qskj3oAuTzd5cwXVt0Vacwk7w3JUFVOUwlXXEpPGDVOgQZ659C3fF5u3txn2HGUvjAPp5Y12Qztj/DjPZ++sgjjyzll156aSlTVpOyFVNSULVuW0qB/uRP/mQp33zzzUu5PxfrxraYyf7cr5WkB2fBaBwTjg+62lMIOPbbLvni37x/CsdLKQ0lWp0bb7xxKdNmDz300FLubUkJA93OKbQx6eNnn2FKCftKd/t3WcMRHGecg9iet99+++oc9lXek2sV5Qicm3pbsD259tC2lGp0t3/KDJwktOcZqjll8uy2Yn/j8yVJGuvdZTl8DrZpkq3RBr0N2D+4LqU5sWfn5phKY4fXGmUwP1RIWdLXSdaVbZU+Z53ZFlXrtZ1zEUNhc+7jHoFrWofji/tH3r+HJE5hgVOIUHJaO/nLvYiIiIjIRnBzLyIiIiKyEQ4qy0kZ7bp7MUWHoPskuZdH7i9mMqOLhplo6Qrr7h66xj784Q/XLphJ7oUXXlh9l7Kw0UWV3pw+pOssvYne3e10KfN5eBzdl5Ru9Ag1lILwunRZPvnkk0uZkTruvffe1bX4HSMW0KVNSQffoq/KkpsXX3xxZx35vN0tl7IinjWj6AH8jlIc9ueUSZeymKqq//qv/1rK991331Jme952221LmeOB7V+1jg6SIiRRnjCKisQxlKIDMWNkz7y7TzulsdvdsZzf6I7m+SnjYc/SyDmR7cG5jhmCOVd1+RTvQ5c3xxnnzZ7xmfIE2ilF1UqRZqoOZyeuQV2GwzqxrqwP+yrnIEYV6tdm21x33XVLmfPbE088sZR7O1NS8C//8i9LmfKSv/qrv9pZx6r1WGWdUySTUQSWkQxkn4yyerLMccQ5gn21zxEcU0kWy0zfSV5StW57znd9/TiiPxevxzV2JCua4VC2GslyUoZ6jkm2X89inSSWXEtoJ+4xPve5z63OYV0YFYlReChJ7PajDZIUm5+PJOpkxk7+ci8iIiIishHc3IuIiIiIbIRzi5ZDusspuVt7cpQj6IbpkTLo/knuxe5+O6JHUaEbmnXh+SmhRNX6OWciyqQoGf27s2YmwVZVluXQfUa3Gl29lOFUrduWcg1GZ6HLiklausuzRxY4grIgntMj99D9Srcc+w/PTzKyXuezlhHMJsVKSUpoZ7YNXdP33HPP6lp0M9KdSTcp3ZeUX3WX5Re/+MWlzAhJTJR1xx13LGW6UqvW7lj2hxRVYSTpSJElzoJUn5F8im3F+YVzHduWyXOqfjkqyxG0E6U8vB/HX9VafkFpE8cNpQ29bZOEjZx1m5+W2cR0KUEXZR+cN9jP+7XYBxmV6CMf+chS5vjr4+nf//3flzITK3I8jpL/UTJEyRvHGe9P2WpaW6v2K0esypGhqnKCyxR5bSTL4ZqfooDR7kzaR0ln1Xq88FopUhvXzn4OYZ9gXVIkpP73Pm01iujGZ+V8w/0U9xjsu5TbVK3ntS7Z2QXlkH1M8XzaP92jR1gktDn7VtoXjuTqM3byl3sRERERkY3g5l5EREREZCMcVJaT3qAfyVfovqC7JiUUuvrqq1fXevXVV5cyk4nQ/UKXUHefEbr+mdCKz8U69qgTrAvd6JSB0IVNd9HIlXbWEh1eO0WOGZ2T3Ed0sXX3F+3GBBG8P+UCTCL24IMPrq6VIorwrXTKULpLmXamzeh+o21Toq3OWduJ9qBruduJ36V+w35L6QBt0a9Nm9G2dP0zikqPlkPZG6MPsNwlU4QudNafdqLNR0llRm7rs2RWfpJkDpyr2AcZ6aRqLcWgndge999//87r9ihh/JvzE2VSHAM9eR/7Bu1ENzvbP33e2We0nFFipCSfSknVSG8bzv2UUnF9YJslyUJV1Qc/+MGl/Od//udLmWOIsoEuX6T859FHH91ZJmyX3kaHSjbWGSUcY3txfLHvUhLYxwGlGJzX2Ecpn2HEo253rlE8jjJUyqR6XbgvSonQWB5JOlIUw7NgNiFmkrql5IRcl3q0O0aX4jyY5MJpjeiwXmlv1s+nlIc2T+08shPbaMZO/nIvIiIiIrIR3NyLiIiIiGyEc4uWk6QfVWuXQ5Ly9AgpR3Q3Pt/u53eUBNANTNcdI0NUrV12rDPdmzy/R+7h9eg+pGuWb1TTddTd9Id6wz3ds5Oie1Aiwefs7is+H5PrPPzww0uZ8huWmdilap2oh1F56Baje7sng6EN0xv+7Ivp+Kpf7gNnCeswkrnxb44BynX4DEwW1iMR0D1MG9L9mJJQ9YRYjAhy6dKlpcyx8YUvfGEpM7pOrzPnDPZF2pl9rLcR+8ZZSwr4PLPJfdhvONcwSgSfoUfToG04p9CdTCkPn5nz4eieqf37fM75ICWxSlFNuvuZbblPOeKsjIHPwL7G9md79ugdXDsoR+OzUU76zDPPLGVKE3tdGKkltVOXsKR6JvkeGY2ZfURCYr8Y9Ykk603JotjWXQpDeRvnNc6plHRS3tjrRbtTjsU6cu6j3avWcyzHJ++TkmD2Pnio5Ioj2H+4lnAPxHmM9ufnVWvJFCOKsT14D/bPHsXvyiuvXMq0c5rvRtEa03zJdXiUwG8kUdyFv9yLiIiIiGwEN/ciIiIiIhvBzb2IiIiIyEa4EJr7UVgffkdNIM+nlr2H26NOiSGTqMWn1pEaq//4j/9YXYvabIYUS9nSqP2uyqE8qflifVOWw6qxxvq0JNt0vSV1pSlbLZ+BWWh7Bk2GrKKdeE9qhFnuGTUZTux3f/d3l/Lv/M7v7KwXNeZVa3tQn5jCr470xsfVyZ2U2fFEDSPfgUjhXLuWluewDZkRk5lrqatnuSrrrz/2sY8tZfYl6mGr1mFrqVWknnY2fNih3ltJ7xNVrcd00nFyfqI+tGs9OTbZh6lBpf6eus8eWo7hYJMelnbqulV+l55xlI2bHEofnMpV+T0OtnOa0/s7YRxfXMfY13ldHtPDNtOGfG+JfYPr1n//93+vzmef4XPxfNY3ZXnt5++D9M5ZH1P8m/2d2niOqVG2e67zfKeB/Z17BNqnhx3lHMW1LGUK55xatbYj+xf3NbPvJewz2z0ZZV+lDfk+JevG9uc61N+/5HzF6/I9BfZP7tk++tGPrq7F9kyhX7kO9vGd3mtL89go9Pjs+1rL+b/yCBERERER+bXAzb2IiIiIyEY4qCwnZccchcqiS5JuGZ5D91fP1MhMZgxlxWxzlAswM+Df//3fr6513333/cr633rrrUu5u7fpxmaYLUoK6Dok5xUSbiT3SNn/CF2eKQtt1brdec4f/MEfLGXa+Z//+Z+Xcpfl0OVJSQClQMyuyRCnVWvb8Pl5rRQqb5Rt+VCZhHuos5T1mK5duinpZuz9MWVmpFzjU5/61FKm+5vjt9+T5TvvvHMp0/1KWVfVOgQqw87R/TojKajab8ZnMpKcpLB9bOdk5/48KRwo7cnPeT6lO1VreQCzZiY5Gsdv1druKTxfmmdGa8M+JTqjMZ3ak/IMzhVca3rbcA7ls7LNOYaSTLUqS6soFXjooYeW8gMPPLA6n/boY23XPUZhfvcpG+2MZDk9nOARHB+c7zmPdbkH25uSW2aY5f0poeq24ncMc8k5jXXvY5LjiGsv7ZPChXdJzD7XKF47lavWz5oyVLPePJ9tUbXeA6aQl2kcdVkN+3gK/ZzkhVXr+YF9js+bQv+OZDkz+Mu9iIiIiMhGcHMvIiIiIrIRzt1DmKIAAA6dSURBVC1aTsqkVrV2v6TMd3Q/sdzdInSzUApCVx5dlXStdqkJ3SesF90ydN30LHjJBcu68B6jSB/J3XgWJJdqd6+m7K0pyxqfrWfUTBlj6f6idIfykJ6pkW5sRp3gtZLcq0MpVbLf6M19PlePKHFaTmKn1D/Z7xk9oMtyKGGirIduavZV2rJHjKBEgVGuKLm64YYblnKPwMFnefTRR2sXKRPgiH3KckZjOkmD0vzAvtXrTNuwbVJkMM6Tfc6lzIl2osua/WeU5THJDpNkah/ZTRNJDtTtxH7E4+jeZ5QNtkeXzCX5DudQ2o/RVDjv9GvzfN6fch1KE6vWc3KKDMLnIj3jeJKEnBUputJs5L00J/Jzym2q1utEj1R0BNcYyn26DJW24zkpElM/n8dRkpiiNLE8imx0qMg5fY1Kkpsk/eLaxbmuah0tj/MapWZp/9jvl+yZ5rGe0Z1zX5q7Zxmt8bvwl3sRERERkY3g5l5EREREZCNcCFlOdwWlKCx0ZdCdOZt0J735zDfUCV0yVVWXLl1aynRhJrdWf64ZlxmhO7RLfEb3OS3pel0+RdcQXZaXX375UqZbjO3f3e1099P1nN5EpwubEp2qtYyA/YT9KiWh6Pfp7uZd9WJ538lbZuh2ogsxRR+gC5ruS0Z1qKr67Gc/u5Q5Nunu5/l0U/Z25v1Toh72K7pFq9aJXfhdj0yx636HSlrVocu51yHJPVLEn1G0KsqhOB45bmgzyp/6fJQSKiWZW5dG0O58ljTvsR26/PCQMp0juoyB/SslYksSkP48PJ/jluWXXnppKTMyWJcQXHHFFUuZtknjoY9H1o1zKG3L+ZzzyqHnPY6d2chxKXFkSsDIcdPPeeGFF5YybcV5aHZfwnHM+3MeHPX79PzJ7qPkeftkVjKVosDxGM53fY3md+yjXItSMsbeNkyIxTLbnPXqEl/ek/WkzdlPRm10XPzlXkRERERkI7i5FxERERHZCOcmyxklR0quCbo10pvkjKhStXa50GV28803L2W6pOkC7a7G7sY8ghFE6OLq7tzkbuZ9eAzdoXSTVh3/zemTwnr2CAgpwgXdmXQVp3M7dEdSLkI705XV31Dn2/Nsz6eeemop02XZ3Zc90cwRdL+mNh9FMTprO6XrdTcl6017sK60R0qmVLVuT56TkvnQZn380OVKaRX7EuUF/Xl5bUpMkjub9+9jezQf7Ys+Bti2SeZAe9AF3PsdxwCjR1FOyPZgn+/9P0UjoW3oCmeEqap1f6I9KDVMEdK6dOdQ8o9ZCQFlKqwbJWMp2VdVljPyOLYfJVI94Q4lV7Qt1w7KSbqdOL/TBpStnKT997E+JVnqKAIVSTIXtnsfU0mWwTHF+3Gu5RisWq/tbF/ajXXptuL9OW+k5Hekz+n7nO/StXvd2Abp2ZIMsctQkxSU57Mfj+TPvA/HUUoi1qWjSbo2muMSxx1H/nIvIiIiIrIR3NyLiIiIiGwEN/ciIiIiIhvhoJp7auOoeeuhmFKYQeqheD4zX3ZdL3VyDA93xx13LGVqsdI9qtZ6Kl6Xuirev2dqpH6M96F+K2nUuj6XOrGz1jQmO41CYVLjy3ZiyClq/XqIRWoKeR9+zr5w1VVXLeWevY9aYJ7/8MMPL2W+Z9E1xtT/MSMjr8s2GmVU3memxhRir2sqWQe2Lfst7cd3EHofpq6X4Ut5D2qBqSPu/Yf3pPaY2kSOk26nq6++eimzP7BvpTBjPYzgeWRpHL1rxDLtRH1v6qdV677Bc6j9pTaVWu6XX355da2nn356KVNfyntwnHXdKW0wo98ezWcpxOQ+GYUs5XzPvs5nY3v0DLV8R4zjhn2Y73Tx8x6qkeOW7cxxx/HU5wnWOYXoTCEAz+vdiKrx+2cp63NaZ0d9inZkO3Luo014b46hfi3OY6nuo3WEtk5zCO0xaqPzItUhrVfUv/d3zNgetDnPZ9uk8VG1thPbkPfkXrDPfawn65JCfNLOp12H/OVeRERERGQjuLkXEREREdkIB5XlJPdZd8mkMJGUPPBzuhf7tegWoUvzwQcf3Pk5Xdh0t1StXTG8T8q82l08rHOSSoyyGZJ9hq9KYQFHIZv4DJRbsG35PAw5WrV269POKeQl69hdwMllRkkB27+HT6VrjXVOIbOSK7Rq3Wb7DIU5cifTXc9zUiY/PlsPwZbCwdL+lH7wuv1aPI5SB7q26ZqkPKFq3TeSO5PtQtt0+dQ+Mz7PSu1Sllc+J/s6x1mX5fBv9mdKbngMbcPrVq0zRqf2ZL16X0yhI0dhdtO19inFmQ3bl+Rdyb3O+ajLctjXaBuG0qQ9eI8uR6CdOIaSnKHDuqWs2xznI6nIaE7cJ31MpXDNMzbs6wrPT1llOb+y3fucQltzLUxhFbut03zF5+XnKTtvP+5Q4Zr7mOLf7IesG9clltnOVes+zu+SdJQ27+OD7c5+wvtTrtulbjMZg3nP0b74uHOfv9yLiIiIiGwEN/ciIiIiIhvh3GQ5owylI9fYrvPT2/xVOboDI33QXUJXGI/p96GLhnWhi6W7Lfl3ypaW3NuHiuAxotuM7UZXWpKLjDK5sd14DuUajKjC9uuutJRhle4z2rZHceE5ybXKthjJp3jcWbs8U5a77gZnX01ZMPmcdBn3Ol9zzTU77083ZZLCjaLD8Hy2c5IE9DrzPuwzKVpTH0+HlA4cMYrCwvrwuJ71+oj+PMmF/eKLL+68LiU6vT/zfEo/UmSxUdvSBkkqwOMPOe+lZxi5w1MEDfZVti3nsKr1PMj5MWXZZrnPe2nt4rU4B/Y+PyNVSNLGvk6n/ntWpH4xyvpMkiQsyQ6r1jbl/SkvZFuxLl02x/tTEsf2pa1GawxJ0YFGNtinLIeMopXNjPMUKavvszjH0GYcnxyHKaJOvw/Xy7RGjfa1ZNaexAy1IiIiIiK/obi5FxERERHZCAeV5ZBZ1+vM2/mj5BT9LfMjGBWHLjPeg26xqrV7MyXaorupu037m9S7mI2Ws09Gb2wTuqPozqIrlHIJXmskyyEpkgEZJWOhm4wyIkoK2Bf6d0mWkyRm3Wb7dHnO1KcqJ4Xis1GuwWfoUQ1oJ7YnxxnHEPtzjxaQkn9x3PF+I8kd5SKsM/tiikrVOWuJToo+1V3TSabC85NtuiyCNuA5bKck9+nPz+M4VlJStz4e+XeS8vBZLpoccRQljG3bZWNHsG9TwtHPYX9g23LdYVtSRlO1Hg/PPffcUqbsg7bskXtSYp80ns9rfaqaX6NS/0lyKrbvyO4pokuKrtLbinMhv+P5nJ/7fJWiBaZoORdhTI1sliSmJO0F2O+rcoSdUULOI/oeM81LSfo7GhOHtoG/3IuIiIiIbAQ39yIiIiIiG+HcZDmzkXOSe5puDbru09vxVWuXC12V6ZzuokmumPSG/cg9nZJ8zLpuDhVRgm3e3WXJ7UdXGF3KKXJOVZZcUdZDKQ9ddKPnv/LKK3d+zvt36VZKMJYSh9AVdxFkBF3ukdyJHAN0847G0NNPP73zPsldnyQp/RxK41IimJ4ULiV3Ivx8JN87D7uN5C/HrU8/PslFks1Zly6fmpFrJPf3rr93XTexz6RVI0br04wcjp+ndadq3b9TO/N+nIO7BKAnXTwiRaLqEVy4jvHaKfrIbB/d99g6iUQnzQV87lF0rxQtpa9rR3QZSJL1puhgo4RapM+RR4zaZZ8RcshIopqkOEm6N5Ikcj1nOdk8JUftx6WElinpaq9/uu6sDNRoOSIiIiIiv6G4uRcRERER2QjnJssZuWiS+ytJVpKLbATdV5R7pIRSI3hcilLR4bOc5C3qQyWeGLk8k4yAz51cwr1tUsQZujkpA0nRAjpJ7jNyeaboJDMSgUO5OPu9OGa6izPVO0XRGT0z75kSriW5R28b2o125jkp8VtVTio2M4YPaafZ+6boNTNyndEYSHK4lCyuu/ZTgimS+kL/eyZZ1XnZJskjZ+uT7JSev2o9D6VEdGkdGUkAZuaqLiFJY5j9IY2nQyeBSzaZlbLOjKnR3Me2S+tamiur1ramDI73HEVhSe2douWc1/iavVeKIpbmC34+SjyV5qUk8e31nYlgNiKNw0NEzvGXexERERGRjeDmXkRERERkI7i5FxERERHZCAfV3M/qlJI+LGk0R5r7pBlPWeXISEfIayWt40izN8NF08nN1iHp3MnofYR0n6R/G+kRqceb1dLPvOdxEh3uPhmFk50J15dCmfa2SZrOkb401THpS3ncSJs4oytOesZDhr5MfWBks5m+ljSo/bukNU7vnYzaNYWsm30/iaT7jNrlUIzaNq0jMzr70ZqS+vpJQu3O1LHbjHNlmh9H7XJezL4XluY7MnovbMYm6X59TUzrH6+Vsqj2447LRchQOzvG03Gj9X/m+VK28lG45pn+PspqfNxrnRZ/uRcRERER2Qhu7kVERERENsK5hcIckdyIM6GdulsuHZeulc4dHTcbIukkoZQSp8lmeRb3nCVJdEZ1TvKZGblPP5/nzGbKPK0U57wZuabJScJx8Zxkj9TO3X06Y+dRJuYkg5iR4l0EZvvTjBSqt+1pJEuzc1j6/LRhEUeSvfNgVkqTspuOJGunabeRFGtmzI/WyhkJ7KHDXyZms9Ie95jeD2ekNOnz0dyVJCKjMXxRJFEn5SRr6aydSGqnNHeO1qgZRhluD22zizE6RURERETk1Li5FxERERHZCJddNFe1iIiIiIicDH+5FxERERHZCG7uRUREREQ2gpt7EREREZGN4OZeRERERGQjuLkXEREREdkIbu5FRERERDaCm3sRERERkY3g5l5EREREZCO4uRcRERER2Qhu7kVERERENoKbexERERGRjeDmXkRERERkI7i5FxERERHZCG7uRUREREQ2gpt7EREREZGN4OZeRERERGQjuLkXEREREdkIbu5FRERERDaCm3sRERERkY3g5l5EREREZCO4uRcRERER2Qhu7kVERERENoKbexERERGRjfB//MSXybwzU+cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time for epoch 182 is 88.36131406202912 min\n",
      "error D: 2.0041248717461713e-05, error G: -1.4759154510102235e-05\n",
      "Time for epoch 183 is 88.40736598148942 min\n",
      "error D: 1.7695141650619917e-05, error G: -1.4939461834728718e-05\n",
      "Time for epoch 184 is 88.45325864851475 min\n",
      "error D: 2.1633386495523155e-05, error G: -1.4000745068187825e-05\n",
      "Time for epoch 185 is 88.49901966005564 min\n",
      "error D: 1.7849355572252534e-05, error G: -1.4060889952816069e-05\n",
      "Time for epoch 186 is 88.54660025984049 min\n",
      "error D: 1.5999756215023808e-05, error G: -1.398166386934463e-05\n",
      "Time for epoch 187 is 88.59298519790173 min\n",
      "error D: 1.721559965517372e-05, error G: -1.4566998288501054e-05\n",
      "Time for epoch 188 is 88.63969516381621 min\n",
      "error D: 1.919777787406929e-05, error G: -1.5228518350340892e-05\n",
      "Time for epoch 189 is 88.68730089440942 min\n",
      "error D: 2.9282024115673266e-05, error G: -1.4663377442047931e-05\n",
      "Time for epoch 190 is 88.73579152673483 min\n",
      "error D: 2.2203426851774566e-05, error G: -1.3853064956492744e-05\n",
      "Time for epoch 191 is 88.78426296263933 min\n",
      "error D: 1.8557524526841007e-05, error G: -1.3959313946543261e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x288 with 14 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython import display\n",
    "\n",
    "EPOCHS = 5000\n",
    "BSIZE = 256\n",
    "\n",
    "# время\n",
    "start = time.time()/60\n",
    "\n",
    "# вектора для мониторинга сходимости сеток\n",
    "d_losses = [ ]\n",
    "g_losses = [ ]\n",
    "\n",
    "num = 0 # для сохранения картинок \n",
    "\n",
    "# запускаем цикл обучения \n",
    "for epoch in range(EPOCHS):\n",
    "    \n",
    "    # генерируем батч\n",
    "    X_batch = sample_data_batch(BSIZE)\n",
    "    X_fake = sample_noise_batch(BSIZE)\n",
    "    \n",
    "    # делаем N шагов обучения дискриминатора\n",
    "    for i in range(5):\n",
    "        train_discriminator_step(X_batch, X_fake)\n",
    "        \n",
    "    # делаем K шагов обучения генератора\n",
    "    for i in range(1):\n",
    "        train_generator_step(X_batch, X_fake)\n",
    "\n",
    "    gen_log = discriminator(generator(X_fake))\n",
    "    real_log = discriminator(X_batch) \n",
    "    \n",
    "    d_losses.append(discriminator_loss(real_log, gen_log).numpy())\n",
    "    g_losses.append(generator_loss(gen_log).numpy())\n",
    "        \n",
    "    # ну сколько можно ждааать!!! \n",
    "    if epoch % 1==0:\n",
    "        print('Time for epoch {} is {} min'.format(epoch + 1, time.time()/60-start))\n",
    "        print('error D: {}, error G: {}'.format(d_losses[-1], g_losses[-1]))\n",
    "\n",
    "    if epoch % 10==0:\n",
    "        # сохраняем модель и обновляем картинку\n",
    "        # checkpoint.save(file_prefix = checkpoint_prefix)\n",
    "\n",
    "        # можно раскоментировать, если хочется, чтобы картинка обновлялась, а не дополнялас\n",
    "        #display.clear_output(wait=True)\n",
    "        num += 1\n",
    "        sample_images(2,7, num)\n",
    "        sample_probas(X_batch)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "-Qso__0apRUQ"
   },
   "source": [
    "Тренируем сетки."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "2T6ddJLJpRUR",
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# сетка тренировалась много итераций\n",
    "sample_images(4,8)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "p-4JKb0VpRUS",
    "outputId": "f2e4bc20-c8ff-4626-e18a-9cd177af8054"
   },
   "outputs": [],
   "source": [
    "# смотрим сошлись ли потери\n",
    "plt.plot(d_losses, label='Discriminator')\n",
    "plt.plot(g_losses, label='Generator')\n",
    "plt.ylabel('loss')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7. Интерполяция \n",
    "\n",
    "Давайте попробуем взять два вектора, сгенерированных из нормального распределения и посмотреть как один из них перетекакет в другой. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.interpolate import interp1d\n",
    "\n",
    "def show_interp_samples(point1, point2, N_samples_interp):\n",
    "    N_samples_interp_all = N_samples_interp + 2\n",
    "\n",
    "    # линия между двумя точками\n",
    "    line = interp1d([1, N_samples_interp_all], np.vstack([point1, point2]), axis=0)\n",
    "\n",
    "    fig = plt.figure(figsize=(15,4))\n",
    "    for i in range(N_samples_interp_all):\n",
    "        ax = fig.add_subplot(1, 2 + N_samples_interp, i+1)\n",
    "        ax.grid('off')\n",
    "        ax.axis('off')\n",
    "        ax.imshow(generator.predict(line(i + 1).reshape((1, 100)))[0, :, :, 0],cmap='gray')\n",
    "    plt.show()\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(seed=42)\n",
    "\n",
    "# Рандомная точка в пространстве\n",
    "noise_1 = np.random.normal(0, 1, (1, 100))\n",
    "\n",
    "# смотрим как она перетекает в симметричкную\n",
    "show_interp_samples(noise_1, -noise_1, 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise_2 = np.random.normal(0, 1, (1, 100))\n",
    "show_interp_samples(noise_1, noise_2, 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "А что мы вообще сгенерировали?! Давайте посмотрим на точку из выборки наиболее близкую к получившейся генерации."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "id_label_sample = 8\n",
    "img_smp = generator.predict(sample_noise_batch(1))\n",
    "plt.imshow(img_smp[0,:,:,0], cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_smp.shape, X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ищем l1 норму между тем, что сгенерилось и остальным \n",
    "L1d = np.sum(np.sum(np.abs(X[:,:,:,0] - img_smp[:,:,:,0]), axis=1), axis=1)\n",
    "idx_l1_sort = L1d.argsort()\n",
    "idx_l1_sort.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx_l1_sort[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "N_closest = 8\n",
    "\n",
    "fig = plt.figure(figsize=(15,4))\n",
    "for i in range(N_closest):\n",
    "    ax = fig.add_subplot(1, N_closest, i+1)\n",
    "    ax.grid('off')\n",
    "    ax.axis('off')\n",
    "    ax.imshow(X[idx_l1_sort[i], :, :, 0], cmap='gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Сохраняю гифку из картинок. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import glob\n",
    "import imageio\n",
    "\n",
    "def create_animated_gif(files, animated_gif_name, pause=0):\n",
    "    if pause != 0:\n",
    "        # Load the gifs up several times in the array, to slow down the animation\n",
    "        frames = []\n",
    "        for file in files:\n",
    "            count = 0\n",
    "            while count < pause:\n",
    "                frames.append(file)\n",
    "                count+=1\n",
    "        print(\"Total number of frames in the animation:\", len(frames))\n",
    "        files = frames\n",
    "    images = [imageio.imread(file) for file in files]\n",
    "    imageio.mimsave(animated_gif_name, images, duration = 0.005)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pause = 1\n",
    "animated_gif_name = 'animation_GAN.gif'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image_path = 'images_gan/*.png'\n",
    "files = glob.glob(image_path)\n",
    "files = sorted(files, key = lambda w: int(w.split('_')[-1].split('.')[0]))\n",
    "create_animated_gif(files, animated_gif_name, pause)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Задание : \n",
    "\n",
    "* Превратить нашу GAN в Conditional GAN \n",
    "\n",
    "![](https://camo.githubusercontent.com/63a263678253a1eedd74432ad85751da2407a3d8/687474703a2f2f6775696d70657261726e61752e636f6d2f66696c65732f626c6f672f46616e7461737469632d47414e732d616e642d77686572652d746f2d66696e642d7468656d2f6347414e5f6f766572766965772e6a7067)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "ykG2PeDgpRUl"
   },
   "source": [
    "На этом всё :) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "EfPgQIGMpRUo"
   },
   "source": [
    "![](https://miro.medium.com/max/896/1*3VOLkgm-QY05gEpGDkBzTA.gif)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "1N7FM1gvpRUo"
   },
   "source": [
    "  "
   ]
  }
 ],
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