{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "aSzAgc72qFJy"
   },
   "source": [
    "# Exercise 18.1 - Solution\n",
    "## Generation of fashion images using Generative Adversarial Networks\n",
    "\n",
    "Let us start to learn how to implement (Generative Adversarial Networks) GAN, as introduced by [Goodfellow et al.](https://arxiv.org/abs/1406.2661) in Keras, to gain more insights into the training procedure. \n",
    "\n",
    "As a simple example, we will use GAN to generate small greyscale images.\n",
    "We will use the fashion MNIST data for training the GAN.\n",
    "\n",
    " 1. Pre-train the discriminator and evaluate the test accuracy.\n",
    " 2. Set up the main loop for training the adversarial framework. Use uniform distributed noise as prior distribution for the generator.\n",
    " 3. Generate some images after each training epoch. Plot the training losses for the generator and discriminator and generated images.\n",
    "\n",
    "Training GANs can be computationally demanding, thus, we recommend to use a GPU for this task."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HEJtbW1uqFJ0"
   },
   "source": [
    "### Software\n",
    "First we have to import our software."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "dHlLzqA_qFJ1",
    "outputId": "f868ea87-d18c-4e56-d9e4-20941fe5e4e5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "keras version 2.4.0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "from tensorflow import keras\n",
    "import matplotlib.pyplot as plt\n",
    "layers = keras.layers\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0T9qjpe0qFJ4"
   },
   "source": [
    "### Data\n",
    "Let us download Fashion MNIST and normalitze it to [0,1]."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "-8MQX38LqFJ4"
   },
   "outputs": [],
   "source": [
    "fashion_mnist = keras.datasets.fashion_mnist\n",
    "\n",
    "(train_images, train_labels), _ = fashion_mnist.load_data()\n",
    "train_images = train_images[...,np.newaxis] / 255."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VsxmdTz4qFJ5"
   },
   "source": [
    "Let us inspect the data!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 589
    },
    "id": "p-fWgwLbqFJ6",
    "outputId": "9686432a-6912-4380-8511-05d336f2169b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 16 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class_names = ['T-shirt/top', 'Trouser', 'Pullover', 'Dress', 'Coat',\n",
    "               'Sandal', 'Shirt', 'Sneaker', 'Bag', 'Ankle boot']\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "for i in range(16):\n",
    "    plt.subplot(4,4,i+1)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    plt.grid(False)\n",
    "    plt.imshow((255 * train_images[i]).astype(np.int).squeeze(), cmap=plt.cm.binary)\n",
    "    plt.xlabel(class_names[train_labels[i]])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "C8Jho-4DqFJ6"
   },
   "source": [
    "### Generator\n",
    "For training GANs we need to further define our generator and discriminator network. We start by defining our generator network, which should map from our noise + label space into the space of images (latent-vector size --> image size). Adding the label the input of to both the generator and discriminator should enforce the generator to produce samples from the according class."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0WSwlefNqFJ6"
   },
   "source": [
    "#### Task\n",
    "Design a meaningful generator model!  \n",
    "Remember to check the latent and image dimensions. You can make use of the 'DCGAN guidelines'.\n",
    "Use a meaningful final activation function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "f3pnZBM9qFJ8"
   },
   "outputs": [],
   "source": [
    "def generator_model(latent_size):\n",
    "    \"\"\" Generator network \"\"\"\n",
    "    latent = layers.Input(shape=(latent_size,), name=\"noise\")\n",
    "    z = layers.Dense(7 * 7 * latent_size)(latent)\n",
    "    z = layers.BatchNormalization()(z)\n",
    "    z = layers.Activation('relu')(z)\n",
    "    z = layers.Reshape([7, 7, latent_size])(z)\n",
    "    z = layers.UpSampling2D(size=(2, 2))(z)\n",
    "    z = layers.Conv2D(128, (5, 5), padding='same')(z)\n",
    "    z = layers.BatchNormalization()(z)\n",
    "    z = layers.Activation('relu')(z)\n",
    "    z = layers.UpSampling2D(size=(2, 2))(z)\n",
    "    z = layers.Conv2D(64, (5, 5), padding='same')(z)\n",
    "    z = layers.BatchNormalization()(z)\n",
    "    z = layers.Activation('relu')(z)\n",
    "    z = layers.Conv2D(1, (5, 5), padding='same')(z)\n",
    "    z = layers.Activation('sigmoid')(z)\n",
    "    # We need a sigmoid activation as we normalized the data to [0,1]\n",
    "    return keras.models.Model(latent, z, name=\"generator\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "AxNmxzWdqFJ9"
   },
   "source": [
    "Build and check the shapes of our generator!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "cllaLqb5qFJ9",
    "outputId": "60036b2e-6343-4f61-b0f3-c367e4072346"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"generator\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "noise (InputLayer)           [(None, 100)]             0         \n",
      "_________________________________________________________________\n",
      "dense (Dense)                (None, 4900)              494900    \n",
      "_________________________________________________________________\n",
      "batch_normalization (BatchNo (None, 4900)              19600     \n",
      "_________________________________________________________________\n",
      "activation (Activation)      (None, 4900)              0         \n",
      "_________________________________________________________________\n",
      "reshape (Reshape)            (None, 7, 7, 100)         0         \n",
      "_________________________________________________________________\n",
      "up_sampling2d (UpSampling2D) (None, 14, 14, 100)       0         \n",
      "_________________________________________________________________\n",
      "conv2d (Conv2D)              (None, 14, 14, 128)       320128    \n",
      "_________________________________________________________________\n",
      "batch_normalization_1 (Batch (None, 14, 14, 128)       512       \n",
      "_________________________________________________________________\n",
      "activation_1 (Activation)    (None, 14, 14, 128)       0         \n",
      "_________________________________________________________________\n",
      "up_sampling2d_1 (UpSampling2 (None, 28, 28, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv2d_1 (Conv2D)            (None, 28, 28, 64)        204864    \n",
      "_________________________________________________________________\n",
      "batch_normalization_2 (Batch (None, 28, 28, 64)        256       \n",
      "_________________________________________________________________\n",
      "activation_2 (Activation)    (None, 28, 28, 64)        0         \n",
      "_________________________________________________________________\n",
      "conv2d_2 (Conv2D)            (None, 28, 28, 1)         1601      \n",
      "_________________________________________________________________\n",
      "activation_3 (Activation)    (None, 28, 28, 1)         0         \n",
      "=================================================================\n",
      "Total params: 1,041,861\n",
      "Trainable params: 1,031,677\n",
      "Non-trainable params: 10,184\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "latent_size = 100\n",
    "g = generator_model(latent_size)\n",
    "g.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1xyByAO3qFJ-"
   },
   "source": [
    "We can further plot the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "RsseR3gDqFJ-",
    "outputId": "cfb0e6ac-c250-4076-e11b-39ebf0deb1dc",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 6,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keras.utils.plot_model(g, show_shapes=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "8-E3K81SqFJ-"
   },
   "source": [
    "### Discriminator\n",
    "The task of the discriminator is to measure the similarity between the fake images (output of the generator) and the real images. So, the network maps from the image space into a 1D space where we can measure the 'distance' between the distributions of the real and generated images (image size --> scalar). Also, here we add the class label to the discriminator.\n",
    "\n",
    "#### Task \n",
    "Design a power- and meaningful critic model!   \n",
    "Remember that you can make use of the DCGAN guidelines (use convolutions!) and check the image dimensions (compare Sec. 18.2.3).\n",
    "We need a `softmax` as last activation function in the discriminator!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "1IRfIv3YqFJ_"
   },
   "outputs": [],
   "source": [
    "def discriminator_model(drop_rate=0.25):\n",
    "    \"\"\" Discriminator network \"\"\"\n",
    "    image = layers.Input(shape=(28,28,1), name=\"images\")\n",
    "    x = layers.Conv2D(32, (5, 5), padding='same', strides=(2, 2))(image)\n",
    "    x = layers.LeakyReLU(0.2)(x)\n",
    "    x = layers.Conv2D(64, (5, 5), padding='same', strides=(2, 2))(x)\n",
    "    x = layers.LeakyReLU(0.2)(x)\n",
    "    x = layers.Conv2D(128, (5, 5), padding='same', strides=(2, 2))(x)\n",
    "    x = layers.LeakyReLU(0.2)(x)\n",
    "    x = layers.Flatten()(x)\n",
    "    x = layers.Dropout(drop_rate)(x)\n",
    "    x = layers.Dense(256)(x)\n",
    "    x = layers.LeakyReLU(0.2)(x)\n",
    "    x = layers.Dropout(drop_rate)(x)\n",
    "    x = layers.Dense(2)(x)\n",
    "    x = layers.Activation(\"softmax\")(x)\n",
    "    return keras.models.Model(image, x, name=\"discriminator\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "q_R8G8zZqFJ_",
    "outputId": "41d0aa92-82cc-40d3-d792-1382c94f1f54"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"discriminator\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "images (InputLayer)          [(None, 28, 28, 1)]       0         \n",
      "_________________________________________________________________\n",
      "conv2d_3 (Conv2D)            (None, 14, 14, 32)        832       \n",
      "_________________________________________________________________\n",
      "leaky_re_lu (LeakyReLU)      (None, 14, 14, 32)        0         \n",
      "_________________________________________________________________\n",
      "conv2d_4 (Conv2D)            (None, 7, 7, 64)          51264     \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_1 (LeakyReLU)    (None, 7, 7, 64)          0         \n",
      "_________________________________________________________________\n",
      "conv2d_5 (Conv2D)            (None, 4, 4, 128)         204928    \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_2 (LeakyReLU)    (None, 4, 4, 128)         0         \n",
      "_________________________________________________________________\n",
      "flatten (Flatten)            (None, 2048)              0         \n",
      "_________________________________________________________________\n",
      "dropout (Dropout)            (None, 2048)              0         \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 256)               524544    \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_3 (LeakyReLU)    (None, 256)               0         \n",
      "_________________________________________________________________\n",
      "dropout_1 (Dropout)          (None, 256)               0         \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 2)                 514       \n",
      "_________________________________________________________________\n",
      "activation_4 (Activation)    (None, 2)                 0         \n",
      "=================================================================\n",
      "Total params: 782,082\n",
      "Trainable params: 782,082\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.7/dist-packages/tensorflow/python/keras/optimizer_v2/optimizer_v2.py:375: UserWarning: The `lr` argument is deprecated, use `learning_rate` instead.\n",
      "  \"The `lr` argument is deprecated, use `learning_rate` instead.\")\n"
     ]
    }
   ],
   "source": [
    "d = discriminator_model()\n",
    "d.summary()\n",
    "d_opt = keras.optimizers.Adam(lr=2e-4, beta_1=0.5, decay=0.0005)\n",
    "d.compile(loss='binary_crossentropy', optimizer=d_opt, metrics=[\"acc\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WbEIOHHgqFJ_"
   },
   "source": [
    "We can further plot the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "ouMCmFGyqFJ_",
    "outputId": "ff2fffc0-d3ca-484b-dd8d-c406d8d6b322",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keras.utils.plot_model(d, show_shapes=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1jJONRzcqFKA"
   },
   "source": [
    "### Training preparations\n",
    "After building the generator and discriminator, we have to compile it. But before, we have to freeze the weights of the discriminator. (Remember that we have to fix the discriminator weights for training the generator because we want to fool the discriminator by drawing excellent images, not by making our discriminator a worse classifier)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "7vgJsz8iqFKA"
   },
   "outputs": [],
   "source": [
    "def make_trainable(model, trainable):\n",
    "    ''' Freezes/unfreezes the weights in the given model '''\n",
    "    for layer in model.layers:\n",
    "        # print(type(layer))\n",
    "        if type(layer) is layers.BatchNormalization:\n",
    "            layer.trainable = True\n",
    "        else:\n",
    "            layer.trainable = trainable"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mqxKb1iJqFKA"
   },
   "source": [
    "Note that after we compiled a model, calling `make_trainable` will have no effect until compiling the model again.`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "EOkbdZFHqFKA"
   },
   "outputs": [],
   "source": [
    "make_trainable(d, False)  # freeze the critic during the generator training\n",
    "make_trainable(g, True)  # unfreeze the generator during the generator training"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "c8jDE6QBqFKB"
   },
   "source": [
    "We build the pipeline for the generator training by stacking the generator on the discriminator (with frozen weights)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "_VHegmLDqFKB",
    "outputId": "377c2e48-7b61-4cd3-fd97-118f1b567854"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "noise (InputLayer)           [(None, 100)]             0         \n",
      "_________________________________________________________________\n",
      "generator (Functional)       (None, 28, 28, 1)         1041861   \n",
      "_________________________________________________________________\n",
      "discriminator (Functional)   (None, 2)                 782082    \n",
      "=================================================================\n",
      "Total params: 1,823,943\n",
      "Trainable params: 1,031,677\n",
      "Non-trainable params: 792,266\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "gen_input = g.inputs\n",
    "generator_training = keras.models.Model(gen_input, d(g(gen_input)))\n",
    "generator_training.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 312
    },
    "id": "vK63LBbRqFKB",
    "outputId": "1adfac20-9227-41a4-c2c0-07bfe7da805b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 13,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keras.utils.plot_model(generator_training, show_shapes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "I41Pj5aPqFKB",
    "outputId": "eae3757c-82a7-494e-91eb-06019331d139"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.7/dist-packages/tensorflow/python/keras/optimizer_v2/optimizer_v2.py:375: UserWarning: The `lr` argument is deprecated, use `learning_rate` instead.\n",
      "  \"The `lr` argument is deprecated, use `learning_rate` instead.\")\n"
     ]
    }
   ],
   "source": [
    "g_opt = keras.optimizers.Adam(lr=2e-4, beta_1=0.5, decay=0.0005)\n",
    "generator_training.compile(loss='binary_crossentropy', optimizer=g_opt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WhPhsGKxqFKC"
   },
   "source": [
    "We pre-train the discriminator using 5000 real and 5000 fakes samples (pure noise, since the generator wasn't updated yet)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "UBZULrGqqFKC",
    "outputId": "d9d9bcca-f476-4268-dd06-56970962acac"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "157/157 [==============================] - 2s 9ms/step - loss: 0.0666 - acc: 0.9811\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<tensorflow.python.keras.callbacks.History at 0x7ff8001e8d90>"
      ]
     },
     "execution_count": 15,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ntrain = 5000\n",
    "no = np.random.choice(len(train_images), size=ntrain, replace='False')\n",
    "real_train = train_images[no,:,:,:]   # sample real images from training set\n",
    "noise_gen = np.random.uniform(0,1,size=[ntrain, latent_size])\n",
    "generated_images = g.predict(noise_gen)  # generate fake images with untrained generator\n",
    "\n",
    "X = np.concatenate((real_train, generated_images))\n",
    "y = np.zeros([2*ntrain, 2])   # class vector: one-hot encoding\n",
    "y[:ntrain, 1] = 1             # class 1 for real images\n",
    "y[ntrain:, 0] = 1             # class 0 for generated images\n",
    "\n",
    "# - Train the discriminator for 1 epoch on this dataset.\n",
    "d.fit(X,y, epochs=1, batch_size=64)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lEABiVwzqFKC"
   },
   "source": [
    "### Task\n",
    "Select a reasonable batch size.\n",
    "Find a good number of epochs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "QQsqSquUqFKD",
    "outputId": "0026f531-51ef-4e79-dd40-daba7b882f7d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch:  0/15\n",
      "Epoch:  1/15\n",
      "Epoch:  2/15\n",
      "Epoch:  3/15\n",
      "Epoch:  4/15\n",
      "Epoch:  5/15\n",
      "Epoch:  6/15\n",
      "Epoch:  7/15\n",
      "Epoch:  8/15\n",
      "Epoch:  9/15\n",
      "Epoch: 10/15\n",
      "Epoch: 11/15\n",
      "Epoch: 12/15\n",
      "Epoch: 13/15\n",
      "Epoch: 14/15\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iQq4vvfBgixYt8p5TrHinREShsCgRUSgsSkQUCosSEYVSJ41uPRDM2wZbN12bNGki4i1btphz9Mz8BQsWmBy92qOe3Q8An/zkJ0XcpUsXEXsz9WfPni3iZcuWmZzXXntNxOvXrzc5ujl/wQUXiFg3vgHgmmuuEfHpp59ucvQuKcUwWzwa/TMeP368yXn44YdF7G3bnY/efh6wTXbdLAeAG2+8UcT6d6ZY8MokolBYlIgoFBYlIgql1ntK3iRYTb9n9vob+v2wHqhWWlpqzrnrrrtEPGXKFJPTsmVLEXs7k5x66qkifvfdd0X84osvmnP0oEZvUqUe8NarVy+Tc+edd4q4Q4cO1T4GYAffeYP66Nh961vfypvzu9/9TsRnnHGGyencubOI9S4yXh9K74z8ne98x+TccMMNeV9fMeCdEhGFwqJERKGwKBFRKCxKRBRKrTe69+3bJ2Kvib148WIRz5o1y+QMHDhQxLqBvnz5cnPO008/LeJVq1aZnPPOO0/EmzZtMjl/+tOfRKyb1t5sej0AdPjw4Sbn0ksvFXG7du1Mjp7N/9WvflXEb775pjlHN79vvvlmk3P55ZeL2Gumctulf9ONZcBuz6WvdcBuu+79vPR1oOmVIgBgw4YNItbN8vqEd0pEFAqLEhGFwqJERKEcU0/JGyipV1P0BvLp3oU3yVS/F1+9erWIC5no2Lx587w5W7duNcf0wE39XP379zfnlJeXi9jrG+iBdN4OI/r1LFy40ORoevvoCRMmmBw9qZgTcmtO9wAPHTpkcvQEam8V0KMxd+5cEV911VUmx5tcXox4ZRJRKCxKRBQKixIRhXJMPSVvLIceY9G2bVuT07FjRxFPnDjR5OiJszr2elW6D3XvvfeaHD0Z2JuQq3c51TtJeOOf9IJtM2fONDl6fNPYsWNNTr9+/USsx2N5fTL2h2rf0X5PX3rpJRF7OzDrsWfajBkzzDG9G++Pf/xjk+ONiSpGvJqJKBQWJSIKhUWJiEJhUSKiUI6p0e3turBixQoR61UcATuR0RvAqAeC6ea4NylWN6gvu+wyk7Nx40YRe5Ni9UBDvY23t/uKbkB7DWm9I4W3bbeekHvTTTeJePDgweYc/XWeffbZJoeTbWufvi4Ae/17k3bz0ZPRAfvzyzept5jxTomIQmFRIqJQWJSIKJRj6ik1a9bMHNO7y3r0REZvoTU9eE33kLx+jJ5I6+1k+9xzz4nYm8SoB3wuWbJExN7gyT179lT7GADQs2dPEetdLADbg3jjjTdE7O2Aontp7B/lpyeT62vQ61nqa84bnKv7jbqHWYjevXubY/r36pxzzqnx4xYL3ikRUSgsSkQUCosSEYXCokREodT6biYFPalqGHbq1Mnk6EZ3IVtR6+byxRdfbHK2bNki4gEDBpgc3ZDWKwksW7Ys72sZM2aMOaZ3oPCa7HqVywceeEDEejcWAGjVqlXe10OSvp68azCf66+/3hybOnWqiL1VAvLxVnTVA2+9HU/qC94pEVEoLEpEFAqLEhGFUic9Jc1b5a+QHlK+c7w+Qb5V/zzdu3cXcd++fU2OHrjp9Xm8AZ/awYMHRfzqq6+K+KmnnjLnTJkyRcQlJSV5n4eOnd6ZGLCDW73dTHTPSF+3elI2AOzfv1/ER9MDKxa8UyKiUFiUiCgUFiUiCoVFiYhCCdHoPpqm9omkG9ReI1kPhDzaLZT1ygF33HGHiL3VPtu0aXNUz0XHprS01BzTW2t5K6/mo1c+BYD7779fxPX5jxm8UyKiUFiUiCgUFiUiCiV5k/+OmJzSJgB22UWqj3pkWXZCGxe8vk4qR7y+alSUiIiON759I6JQWJSIKBQWJSIKhUWJiEJhUSKiUFiUiCgUFiUiCoVFiYhCYVEiolBYlIgoFBYlIgqFRYmIQmFRIqJQWJSIKBQWJSIKhUWJiEJhUSKiUFiUiCgUFiUiCoVFiYhCYVEiolBYlIgoFBYlIgqlYU2SO3bsmJWVlR2nl1IzH330kTl28OBBEe/Zs8fk7Nu3r9oYABo0aCDilFLe527WrJmIGzVqZHIaN26cN0c/9ymnyP839Gs5XsrLy7F58+YT82Q5ka6vE0lfT971pX/u+rrwciKr7vqqUVEqKyvDggULaudV1ZD+QXnFZM2aNSJeuHChyVm5cqWIly5danJatWol4iZNmoh479695pxBgwaJuGvXriane/fu1cbec7ds2VLEhVyMtXFxjhgx4pgfo6bq8vo6XrzNXvW1vH//fhF711fDhvJXtWnTpiZHX6fRVP1ejBw58oh5fPtGRKHU6E6pLh06dEjEq1evNjmLFi0S8cyZM03O9u3bRez9r6Tvwj788EMRe28L33vvPRHrOycA6Nmzp4i9t2/6Lke/LdRv7yg2765VH9u5c6eI33//fXOOvvP2rp3oCr2D550SEYXCokREobAoEVEoLEpEFEqIRrf3Z1N9rLy8XMTPP/+8OUc3sb0/L3fu3FnE+s+xANCuXTsR6wZ1aWmpOadLly4ibt++vcnZuHGjiF9++WWTs3v3bhF36NBBxOPGjTPndOvWTcS6OU6x6GEd+trR8cmGd0pEFAqLEhGFwqJERKHUSU9JD7NfsmSJydF9m1mzZol43rx5eR93y5YtJkf3erz+S755Rt7AzWXLlolYD7gEgNdff13EFRUVeZ9b99ZeeOEFc863v/1tEQ8ePDjv4xJFxTslIgqFRYmIQmFRIqJQWJSIKJQQgyfnz59vjulBjXptJD0QEbBrAK1duzZvjregll4FQC8et379enPO5s2bReytd7N161YRe81nPXBTLwzXp08fc05JSUnexyUqFrxTIqJQWJSIKBQWJSIKpU56SnpA4DvvvGNy9Mp6uh+jey+AXaNYr3cN2AGL3iqSeuBjp06d8j6uHpTpTfTVvSiv96P7Q/r1/v3vfzfn9O3bV8TXXXedyfHW9iaKiFcqEYXCokREobAoEVEoLEpEFEqdNLq3bdsm4ldeeSVvjm50e7P7161bJ2Jvpr5uLns5HTt2FHGLFi2qjQG7VVPz5s1NTu/evUXsNdnbtm0r4l27don4X//6lznnvvvuE7G30d8ZZ5xhjlFMejsxwP5xyPsjid6wsljxTomIQmFRIqJQWJSIKJQ6eROqd+iYNGmSydE9JD1x1nvfrXtB3mRbPcjRe2+uJ8HqgZDe4+rttL3BkwcOHBCx7h8BQFlZmYhPPfVUEevtwQE7Odnbily/Zg6mLC7FuE330eKVSUShsCgRUSgsSkQUSp30lHQfxxtXs2nTJhHrHojeMdd7XK/vdDRjOfRYJm8BNz2OxNv1V49d8h5n3759Itb9Le9x9WJ2999/v8m58847RXzmmWeaHC4OF0Mh16jX16wvfcL68VUQUb3BokREobAoEVEoLEpEFEqIGXx64CFgJ6vqybZeo1s3hQuZkOs1w3UTUZ/jNYS9x9H0ypheQ1NPwNU53iA6PShz586dJue1114T8aBBg0xOfZnQWey83XLatGkj4vHjx5ucc889V8T33HNP7b6wE4R3SkQUCosSEYXCokREoYRoIuheCwB07dpVxHpHkenTp5tz9A4neoIuYPtBuh8D5J+8Wsg5Xn+mkMXi9HmF9KH06/MGWC5fvlzEu3fvNjm6b0E1p3dT1jGQf4Ds4sWLzTkXXnihiGfPnm1y6nLw65o1a0Ts7fjTsmXLgh6Ld0pEFAqLEhGFwqJERKGwKBFRKCEa3R49o75Pnz4i9hq+upHmbe2tB1R6O4ronVIK2QFFD570Gpy6Ga4bnt5j6+fevHmzOUc/l16JEgB69uxZ7WuhmvOugwkTJoh44cKFJmf79u0i1quN6lVXAdvY/ulPf2pylixZIuJrr73W5DzxxBMi/uc//ylibyCz5g0UXrVqlYgHDx6c93GOhHdKRBQKixIRhcKiREShhO0p5RvA6PVs9Pthb5da/The/yXfBFxvhT89oNIbyKZzvEGY+v26fi7vufVA07vvvtvknHfeeSL2BrfRv/3qV78yx/r37y/i66+/3uRUVFSI+BOf+ITJGTdunIj1IN/Jkyebc775zW+K+LnnnjM52qJFi8wxfV2+9dZbItb9LcBeK951u2LFChF7vamqfabqepq8UyKiUFiUiCgUFiUiCoVFiYhCCdvo1rPje/ToIeJevXqZc3TzTG89BNiZ8LoxCdjGnl7tsZDVKvXMb++Yt4qkHpDXunVrEe/YscOcoxvdQ4cONTl6YCm3U5L09/322283OXq7eT0IErADb71VQGfNmiViPSD2gw8+MOfoHO/6Ki0tFbF3felBlwMHDhTxtm3bzDlLly4V8a9//WuT8+yzz4p4yJAhJmfq1Kkff1zdSq28UyKiUFiUiCgUFiUiCiVsT0n3PPRASG9gpJ4U6K3s2L17dxF7W2fnm5TofV4PKPMGOe7fv7/aGLArQuoJw94EYt1f69y5s8mpL1s6Hy/6ZzplyhSToye4PvLIIyZn7ty5Ivb6mnoVUL1SqDfZvKSkRMT9+vUzObq36K1OecMNN4hY91i9ScZ6Mry3UuwDDzwg4rZt25qcbt26ffyx1+86jFcqEYXCokREobAoEVEoYXtK+XgTafWOClXfwx6mF9AqZMyRjqt7P1ydQibk6h1ydY/J6w3pBbWO9vXVV97uLrp3osccjRgxwpyj+yRf+cpXTM7EiRNF7I0n0rs9676ON7Zp3rx5Iva+Jj2R15u0/qlPfUrEw4YNE/Edd9xhzilk92f9OzJnzhyTM3z48I8/9l7/YbxTIqJQWJSIKBQWJSIKhUWJiEIpmka3Htx23XXXmZz77rtPxF6TUe8gsnfvXpOjm8t6IGch2w97jTzdMPQaiPl2TvEa3d7kZPo372ehB9reeuutItaTUAF7zf31r381OXrS7vnnn29yHn/8cRF//vOfF7EeKAkA7777roh/8pOfmJyrrrpKxN614v1O5KOvSf0HJQB46KGHRPzoo4+anDFjxnz8MSfkElHRYFEiolBYlIgolKLpKWl6N1DADjrzdmbQi3B5u+jqyb75dq0FbN/Cez+vJ/96Exv1om6F7GTLybbVK2RBu9GjR4v45ptvNjl6oOHll19ucsrLy0XsXad6UrXepVYvvAYAAwYMELHXJ9P9UW+y+dHQfVhvwreerKyvY0BOhq+ut8WrmYhCYVEiolBYlIgoFBYlIgqlaBrdekb9/PnzTY6ebe0NKtRNOm8mtZ5lr2fue7P7dQPdm6mvB4B6K0/q5rdudHu7r+hGZH1RyOx+b5VGfZ73/ZkxY4aIly1bJmI9CNJ7bo/egnvs2LEm54orrhCx3oXEu7Z/8IMfiHjx4sUm5/XXXxfxtGnTTI6+TgvhNa21QYMGibhv374mJ9+KrofxTomIQmFRIqJQWJSIKJSwPSXdS1m9erWI9YAzwL5n1e/vAbsD6Pr1602O3iFXvxavj6EHg3nv3XW/yNthVQ940wPi9E6pgO2ZeL2YYtwR13vN3vc+33nez+LSSy8Vsf4+e99DPSnWe1y9m8kbb7xhcsaPHy/iK6+8UsTehO9nnnlGxO3btzc5kX7G3sDgQvFOiYhCYVEiolBYlIgoFBYlIgolRKNbN58BO+P/ySefFLE3OHHIkCF5c3QD0xvQpY/pQXOFDALzmo56Nn9128wctmPHDhF736tXXnlFxJ/5zGdMjt7CPFJTtC7omfh6a2pvFnshPz89GHfhwoUmp0ePHiLWDXNvNVRvC/r6indKRBQKixIRhcKiREShhOgpbdq0yRzTAxb1KpLjxo0z5+gJuLofA9jJhd4WybqHpF+LtxODHsDo9ST0c+mJvoDtg+nn7tmzpzlH90MKGWB4stM9taNZpdHry+mf+6hRo0xOvpVC9fbgJxveKRFRKCxKRBQKixIRhVLrzQfdA/HeP+vdHLz35noBtHXr1ol47dq15hw9lsNblEsf8xYA0+OQ9KJu3jn6a/J6SnrnXW/xrE6dOolYTyrWk4UBO86lkPFPdHzo699bELC2dhmpr3inREShsCgRUSgsSkQUCosSEYVyTI1ub9CjXhHynHPOMTkvvPCCiL2GtN6Z5Nlnn817zoYNG0TsrX5XyEBIPalSx16DupDBeLr57azG32oAAAItSURBVK0eqFej1DtUrFy50pyjJ3Dq7wMA3HrrrSL2Vjc82Sfp1gb9hx02tWuOd0pEFAqLEhGFwqJERKEcU0/J60vogXzLly83OZMnTxax7h8BdpeRpUuXinjo0KHmHL37rTfQUPO+Bj34UE+S9c7RAyO9nXf1jixeP0v3ynTcvHlzc85ZZ50l4htvvNHkFPK9IIqAd0pEFAqLEhGFwqJERKGwKBFRKLW+SoAeEOjt/DFy5EgR6wY1AMyePVvEetUA73H1TH1vNxM9a9ubxa0HI+pms7cCgF61oKSkxORs2bJFxAMGDDA5+jzdDN+4caM5R69gqZ/nSK+HKCLeKRFRKCxKRBQKixIRhXJMPSVvsuGgQYNErHtBAHD77beL2FtFUk/2LS8vF7G3q4fuM3mDHHW/xRvkqHtGuq/jDUTUu57q3VcAoFu3biIeMWKEydEThvWAS28HlEJWntTHOPmWouKdEhGFwqJERKGwKBFRKCxKRBRKjRvdVRumXrNUN5u91R/1qgC6uQvYAZa6Yd6vXz9zTkVFhYi9Wfh61Ug94BKwqwfqQZjeqgZ6gKVu+AO28a6b44BdBWD06NEivuKKK8w5uunfu3dvk8PGNhUL3ikRUSgsSkQUCosSEYWSarLFc0ppE4BVx+/lUCA9siw7obN4eX2dVI54fdWoKBERHW98+0ZEobAoEVEoLEpEFAqLEhGFwqJERKGwKBFRKCxKRBQKixIRhcKiRESh/H8xER6A81EGOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sUaNGGZ/XXnsts8eNG5fZLNgBVhT2VuRgAfqiiy4yPixkv/DCC5ntdX/kZE+vsprFU68zJo/jhD0v4ZKv26sy5+TORYsWGZ/qz7jMahlR4Wv1RGEWw/kHBO+Hir/+9a+Z7a0Iw6K1933xd8pjPGG5jI/X5bLWfgYOHJjZ+/btq7mPeqM7JSFEKBSUhBChUFASQoTilDSlw4cPY9WqVSfsT3/608aHOyV6BX6seXgrgvJzNz8v33rrrWYMd5XkVUi8Y1177bXG5+GHH85s1ou81SZYL/I0mdmzZ2f2jh07jA9rG/xZeVoC61BeASprJF5C4aBBg0689q6xvcA6jqe1cIIsr6LraZacwOhpd9yN0kue5G21NCbAzlseA9i5s3v3buPTr1+/zB49enSLx/HOt97JlLpTEkKEQkFJCBEKBSUhRCgUlIQQoTglobtr164YO3bsCfuee+4xPtz9kTspArZTIif/AcCGDRsymxMsn3nmGTOmWqgF/C6NvHw1J2kCVvRk0Xf69OlmTN++fTP7pZdeMj4sgnqJdZy8xlXcfG6AFR49oZsTNT2RtlrQL9NhISos6nvCMQvFZbo68Ofsic08V7y5zeM42dMbU6aTACdCep0O+Px4Tq5Zs8aMmTx5cmZ7yaitie6UhBChUFASQoRCQUkIEYpTejjs1KlT1m3vox/9qPGZMGFCZq9fv974sG7y6KOPGh/uPMnLC3tLZ3MyoufDyWHr1q0zPvzMPHjw4Mxevny5GXPLLbdkNhcde+fnFQxzohqfC2tigNUbvI6DnMzpLWW9evXqk/q3J/g75kRJwGoprCl5eh/7lNFsPF2Tx7FW5e2Xr8n7jnmFk02bNhkf1ihZC+WiYwCYO3duZnuJpa2J7pSEEKFQUBJChEJBSQgRiveUcOA9L3PTNK+JGvOpT33KbOM8DC8npNb5eMWFrNF4xYW1nvnLcP3115/ymDOJ99lUb/vxj398Jk/ntPEKXllb8XKQOKeHVybxcoVYm/JyvXgOlsk5KrMCEBcVewXTPM7Thzjfjwvmvf16c6We6E5JCBEKBSUhRCgUlIQQoVBQEkKEor6Vde8BFps9UbEW7bl7Yr3xfqSo3naml2puTViY9ZJU+YcUTgj05g4vfe6J2JycWKYYuMw8ZUHfW76dE2K9lUn4/DiJ1Es49hJJ64nulIQQoVBQEkKEQkFJCBGKsJqSEGXwtC/Wi7zkv23btmU2ay2cTAlYjcZbJYX1F09T4gTeMkW8ZZrQ7dy5M7OrC6zfhRNAWZuqXq3oXZQ8KYTo0CgoCSFCoaAkhAiFgpIQIhQSusVZBy9jXma1HKZM8ujatWvNNhbIvQRGXk6eu3x6XSX5mljUBoCNGzdmttchkpMl+Tq54ytgO0Z8+ctfNj6tmWyrOyUhRCgUlIQQoVBQEkKEQpqSOOtgXccr5r700kszm5MTPY3kyiuvzGyvGyonPjY1NRmf3bt3t3i+ZQp0uYMkAMyZMyezuaskYDUl5t577615rHoXa+tOSQgRCgUlIUQoFJSEEKFQUBJChEJCtzjr4C6N3jJMXufGWvAYrvb34KRHAOjWrVuL+/W6BJRZGqyMTy0++MEPmm3eMuL1RHdKQohQKCgJIUKhoCSECEXynrdP6pxSE4CWKxnF2cKIoij6nckDan51KE46v04pKAkhRL3R45sQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCcc6pODc0NBQjR46s06mISDQ2NmLXrl3pTB7zbJhfb731VmY3NTUZnx49emT2+eefn9kp1f7YPZ9OnTq1aEeipfl1SkFp5MiRWL58eeucVTvGW8CzzERqT0yfPv2MH7O9za933nnHbFu/fn1mP/DAA8bnIx/5SGZPnTo1s8sEnM6dOxsfDm7dunWruZ+2mrctza+4oVQI0SE5pTsl0QzfogPAeeed1wZnItoS7475jjvuyOxFixYZn6FDh2b2rFmzMvv48eNmzJ49ezL7+eefNz79+/fP7EsvvdT4nHvuuZl9wQUXGJ+2RndKQohQKCgJIUKhoCSECIWCkhAiFBK6T4PWErXffPNNs+3QoUOZ3adPn8w+5xx9ZW3FsWPHMnvlypXGZ8eOHZk9f/584/PZz342s48ePZrZixcvNmMef/zxzF67dq3x+fnPf57Z3bt3Nz6HDx8226KhOyUhRCgUlIQQoVBQEkKEou4CxZEjR2pu81Lm+Xn4bCjjYE1i7969xoev00vQE+8d/ly5ZIS1PQB45plnMvvJJ580Ph/72Mcy+6abbjI+PA9efPHFzH711VfNGNaqBgwYYHyGDx+e2W+88Ybx+cY3vpHZX/rSlzLbm5Pjx4/P7HrX1OlOSQgRCgUlIUQoFJSEEKFQUBJChKJNMvEOHDiQ2Tt37jQ+EydOzGxOWIzcwArwBWpOXOvdu7fx4Z44vB9PvGS6dOlitnF1eEfCq7rftm1bZj/yyCOZzXPU23bFFVcYnxUrVmT2j370o5rH7tq1a2Z/5StfMWNuu+22zF6yZInx4bnCyZQAcPfdd2f2wIEDM3vfvn1mzIIFCzK7b9++xqc1k3pj/2ULITocCkpCiFAoKAkhQlF3TcnTNxoaGjLbS4xkDYQTLr3+w20Jn5+nY/Bzt9fBkjUlhvUIwCafenrItGnTWtzv2QRrd95nxsW03NnxsssuM2NYx/QWOeDujy+88ILxGTFiRGYfPHgwsxsbG82YQYMGZbZXDDxu3LjM9nSe6667LrMHDx6c2ZdccokZw3OyzNx+L+hOSQgRCgUlIUQoFJSEEKFQUBJChKLuQreX5Mjit9clgIUz9jmTC0KyiO1VkL/00kuZfeWVVxqfMgmffA0shu/evduMef/7319zv2cr3oKQXHXvdXLkcTyGO34Cdh785Cc/MT5cvX/hhRcaH+40uXHjxsx+6KGHzBheVfd3v/ud8fnkJz/Z4hgAmDt3bmbz5+DNr/3792c2J1y2NrpTEkKEQkFJCBEKBSUhRCjapCD37bffzmwviZCfu1lD8pIyT4cy2hTrWV7i5jXXXHPKx/ISzviz4QLPpUuXmjGsY3CiXUeDl6KeOXOm8eEkR+6u6CURMp5mw8Wq3jzdsmVLi+fnLaXNBerc4RKw37uni3HxO8917ooJAKtXr85s77o97ex00Z2SECIUCkpCiFAoKAkhQlF3TcnLI+FGZd4KCtzUjfMnevXqVfPYnvbD+pDXYI6LgVnf6tmzpxnD5+vlTHGei9d4jYtpv/vd72b2rbfeasZwceZjjz1mfLxxZwO7du0y2375y19m9uTJk2vuh3OFvFV4OD/Ha7jHWpTXyI9XRub55Gmsf/zjHzPba7TGq+Z62hQ3cVu2bFlmX3TRRWYMF9B7+y1D2ZV5dKckhAiFgpIQIhQKSkKIUCgoCSFC0epCN4tZnmDICYJlBF/eL4vPgBWtucMfYBO/vEQwLpxlIX7YsGFmDHfj87rz8TZP0GSfb3/725nNnQIBW5BbZsWTswXvhwr+Tr0kVV4ae/PmzZnN3SABK/h6han8g4zXnZLnJf9o4yVc8nV6ReE8d7wupixST5kyJbO9FVp4nmrZbiFEh0JBSQgRCgUlIUQo2mQ1E97mJUJyIhhrSKNHjzZjuADxdJMn+Vn84osvzmxOlATKrWZSawxgPxtOrPOacLH+4SVusg5wuglw0RgyZIjZxgWu3jzgIlPWNa+//nozhrVET6tatWpVZv/qV78yPk1NTZl9+eWXZ7Y3v/g75VV1AaszeavdspbGc/Dqq682Y1hT8op2eX55879sE0bdKQkhQqGgJIQIhYKSECIUCkpCiFC0utBdq2sjYIVHXjIZsOItrxayadMmM4YFaq86nMVwFv4Am7g5YcKEzOauhQDwzW9+M7M///nPGx/eD4v5gE2s4yWnveS2O++8M7N///vfG58FCxZktte5sGwVdyQ8sZmTR71kv1o/iqxbt86M4TnpdVvcvn17ZntdAvjY/DezY8cOM4aXIvfE8O7du7d4HMAuR87n6yUyDx06tKYPX4PXHcQb56E7JSFEKBSUhBChUFASQoSi7smTnk7B27zOk9xZjzv6eSt2sNbDSWqATRbjZ2zAahKcoMerUQDAwoULM9tLCOUE0LFjxxqfxsbGzOYC3F//+tdmDCcLel0mN2zYYLYx1QlvUfUlTsrzNEsurvXmCn+HvJ9JkyaZMaz1eN8x78fTvFjr5Pnm7debywx/Z16yIifj8t+Zd2zWqsoU5JbRnU6G7pSEEKFQUBJChEJBSQgRCgUlIUQo6i50e6IYV8J7y8V4AmE1XvfHMksHc5Kc152PhVFOVPMS4hgveew3v/lNZo8ZM8b43HvvvZn91a9+NbO5yyRgPytPUOQEOI/q/ZQVJdsaT+jmHzy8a+nXr19mc8Isd0cF7Fz2ulNyN0qvUp+38bG882UR27tuvgZv+Smu+H/qqacy26vunz17dmZ7nT+Y9zJ/dKckhAiFgpIQIhQKSkKIUNRdU/LgZ3PvGZU7I3Li4SOPPGLG3HDDDZntJQyyXuStZsLP6/w87+kN/CzudbTkhD0vQY+T5Phz8LQEXgba60rIBZ1liyPbEk/fYD3G0x55rng+o0aNymxOqt26dasZw987JxUCVmcaMGCA8ak1nzwdlj8Lz4cTI72iXdZDJ06cmNlesXmZJelbE90pCSFCoaAkhAiFgpIQIhRtoinxM7WnHfBz7Lhx4zLb02xYJ+FVSACrt3i6AGsSnNvhPVM/+uijNY/9iU98IrM9feiBBx7IbF5htUwOi4ennTFeblVb4l0rf++eBsLjvCaCXOjM881biZi1Ty/HjfU9zh0Caq8462lgrDt5uiZv43MBrEbJfzOe1sjzy5tvrakz6U5JCBEKBSUhRCgUlIQQoVBQEkKEok2Ebk7k406BgC3S5TFewiULhl6BLgvdnsheq4Ofl5x40003ZTZ3E/SOtWzZMuPDSy9fdNFFxocpI3TzNXhjqkXZMsuO15syCYJsA/ZHkZUrVxofFshZ6Pbm5PDhwzOb5yRgP2cveZJ/SOEx/D5g57sndLOw7S1Xzt87LwPvzVsJ3UKIDo2CkhAiFApKQohQtMlqJvwc6z13czEtJ/Z5yZOLFi3K7GnTphkffs5evHix8eHmWA0NDZl99dVXmzGsgXn7LaM38MqsrB2sX7/ejOFGcB//+MeNDzfq+sIXvmB8qotJI2hKHryiiKe/LF++PLO9JEcex4Wq3AQOsHpfGc2S5zpg5wEXA3t6Kc9/L+mXdTHvs+GEXdbtVq9ebcbwys7eiietie6UhBChUFASQoRCQUkIEQoFJSFEKOoudHti24MPPpjZ8+fPNz4sNrOwPWPGDDPmoYceymwWEAGbbHfPPfcYn/Hjx2c2JzB6Vee8nDZX9wNWIGcBEQCef/75zF6zZk1m//CHPzRj3ve+92X2jTfeaHz48/K6BlQLpVE7U3KnxP3799cc463k8sorr2Q2/1DhJR5u3749sz0BnTsAeF0CWAznHzO8HxlYoPZWUuFjc0cAwIrzI0aMyGz+IQGw1+Dtt8wKJ2XRnZIQIhQKSkKIUCgoCSFCUXdNyStevfPOOzPbK+bjlUY5cY1tALj55psz20swY+1g7NixxoeTJXk/3ioRX/ziFzPbKxTlc/aS0ObNm5fZ06dPz+yFCxeaMaw3eJ95mYLJah0p6gq5/Nl784A1wSFDhhifl19+ObNHjx6d2Xv37jVjWFvp06eP8eHP3tOmeD6xLuZ1nmRN1Zs7rEVxIi5g5yVrQZ6mxOfjdUxtTXSnJIQIhYKSECIUCkpCiFAoKAkhQtEmnSfLiKi1lvb2krVY/POWDGJR0UtC431zEqZ3/tu2bctsL3ny2Wefzey5c+caH07I40Q1T8Rm4TGqSN0acNcJT8zlTgq8VDtgO0pcfvnlmV1m+SRPkObP3kuE5CRH3o/3/bE47vl4gn6t/fB1/uEPfzBjypxfa6I7JSFEKBSUhBChUFASQmzJeowAAAPJSURBVISiTTSl04Gfa72kOV6JwSuG5A6DvPKFB+sCXkEiaz1ectuwYcMymxM5AatFed0NOzKsKU2ZMsX48JLbW7duNT5jxozJbC629RIEuYjZm1+sR3qaEmtTrH16mg2fj5fAy0XsnubFx+b9eEXsZQqGvZVnThfdKQkhQqGgJIQIhYKSECIU7UZT4mdqr9CRiwlZWwDsM7TXzKzWig8e3MzOKwbmFVbL5ByJHNaUvO+PtbrXX3/d+HDTO87XKZO/tnbtWuPDDQE97ZO1KdaQjh07VvPY+/btMz6MN5dYM+J56q0SxBpSa+pHHrpTEkKEQkFJCBEKBSUhRCgUlIQQoWg3QjeLgZ6Ix0mNXvdAFhm9BDNearl///6Z7YmXLBB6BcMsYHKyJ2AFzDKFmB0J/gw9oZvFcE+0rpWwyImuALBly5bM9op2eT9cqO0du0wCIxfbeh0iV6xYkdncTROwc5e7Z3odUzmBV50nhRAdCgUlIUQoFJSEEKFoN5oS42k2XGzrrc7Lz/zeSrGbN29u0afMChX9+vUzPvy87hXtMh1dQ2JYf2H9CLDaj7eica0kTK/olAtwvWJp/k69ecDJnXxN3AQOsCvseFooJ4ly0TFg9Swu0G1qajJjvL+jeqI7JSFEKBSUhBChUFASQoRCQUkIEYp2K3R7YqCX1MiwaOclgnHSJSfAeR0AOJnNS9zkY0+bNs34eJ0DxMkp80PA0KFDzbYFCxZk9g033JDZXsLlypUrM5uXlgeA6667LrOXLVtmfFgMnzhxYma/+OKLZszkyZPNNoZ/oGERG7Bzl3/E8ZJR16xZk9n8gxLQugmVulMSQoRCQUkIEQoFJSFEKNqtpuStBMJJjV4CXJmVSWbPnp3Z/BzuPXdz0S6vAAEAhw8frnls8d5hDclLcuQCV9aCPH2StZTx48cbH+7K6BX2srbI2o+ngbGG6s0v1j6feuop4zNq1KjM5gTLWbNmmTEf+MAHMlsFuUKIDoWCkhAiFApKQohQKCgJIULRboVurzq8zPLCS5YsyexBgwYZHxbyWCgdMGCAGcMV5F4SJAvm3jWoK8B7h3/w8DpE/vSnP81sTiL0vpuZM2dmNlfcA3buzJkzx/iwGM5zxfshpcyyRiyGe0s18bF4v941eR056onulIQQoVBQEkKEQkFJCBGK5D07n9Q5pSYAG+p3OiIQI4qisG0T64jmV4fipPPrlIKSEELUGz2+CSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFCoaAkhAiFgpIQIhQKSkKIUCgoCSFC8f8A8YsOo47kDy0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "losses = {\"d\":[], \"g\":[]}\n",
    "discriminator_acc = []\n",
    "batch_size = 64\n",
    "nsamples = len(train_images)\n",
    "iterations_per_epoch = nsamples / batch_size   # Number of training steps per epoch len(train_images)\n",
    "epochs = 15\n",
    "\n",
    "iters = 0\n",
    "\n",
    "for epoch in range(epochs):\n",
    "    print(\"Epoch: {0:2d}/{1:2d}\".format(epoch, epochs))\n",
    "    perm = np.random.choice(nsamples, size=nsamples, replace='False')\n",
    "\n",
    "    for i in range(int(iterations_per_epoch)):\n",
    "        \n",
    "        # Create a mini-batch of data (X: real images + fake images, y: corresponding class vectors)\n",
    "        image_batch = train_images[perm[i*batch_size:(i+1)*batch_size],:,:,:]    # real images   \n",
    "        noise_gen = np.random.uniform(0.,1.,size=[batch_size, latent_size])\n",
    "        \n",
    "        # Generate images using the generator\n",
    "        generated_images = g.predict(noise_gen)\n",
    "\n",
    "        X = np.concatenate((image_batch, generated_images))\n",
    "        y = np.zeros([2*batch_size,2])  # class vector\n",
    "        y[0:batch_size,1] = 1\n",
    "        y[batch_size:,0] = 1\n",
    "    \n",
    "        # Train the discriminator on the mini-batch\n",
    "        d_loss, d_acc  = d.train_on_batch(X,y)\n",
    "        losses[\"d\"].append(d_loss)\n",
    "        discriminator_acc.append(d_acc)\n",
    "    \n",
    "        # Create a new mini-batch of data (X_: noise, y_: class vectors pretending that these produce real images)\n",
    "        X_ = np.random.uniform(0.,1.,size=[batch_size, latent_size])\n",
    "        y_ = np.zeros([batch_size,2])\n",
    "        y_[:,1] = 1\n",
    "    \n",
    "        # Train the generator part of the GAN on the mini-batch\n",
    "        g_loss = generator_training.train_on_batch(X_, y_)\n",
    "        losses[\"g\"].append(g_loss)\n",
    "\n",
    "        iters +=1\n",
    "\n",
    "        if iters % 1000 == 1: \n",
    "          # Plot some fake images    \n",
    "          noise = np.random.uniform(0.,1.,size=[16,latent_size])\n",
    "          generated_images = g.predict(noise)\n",
    "          plt.figure(figsize=(5, 5))\n",
    "          \n",
    "          for i in range(4):\n",
    "              plt.subplot(2,2,i+1)\n",
    "              plt.xticks([])\n",
    "              plt.yticks([])\n",
    "              plt.grid(False)\n",
    "              img = plt.imshow((255 * generated_images[i]).astype(np.int).squeeze(), cmap=plt.cm.binary)\n",
    "      \n",
    "          plt.suptitle(\"Iteration %i\" %iters)\n",
    "          plt.savefig(\"./fake_fMNIST_iteration_%.6i.png\" % iters)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>After roughly 3,000 iterations, we can recognize the basic shapes of the clothes. Above iteration 10,000, the images are of good quality.</em>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ngULajAvqFKD"
   },
   "source": [
    "## Plot the training history\n",
    "Plot the loss of the discriminator and the generator as function of iterations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 497
    },
    "id": "ev-wq-QvqFKD",
    "outputId": "c565f878-82bc-4888-e362-cc2f949ff2a2"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.semilogy(losses[\"d\"], label='discriminator loss')\n",
    "plt.semilogy(losses[\"g\"], label='generator loss')\n",
    "plt.ylabel(\"loss\")\n",
    "plt.xlabel(\"iterations\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1hZ724HIqFKD"
   },
   "source": [
    "Plot the accuracy of the discriminator as function of iterations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 497
    },
    "id": "sMc75W9BqFKD",
    "outputId": "edd58065-b044-4725-fa14-0c8e10eb9d64"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.semilogy(discriminator_acc, label='discriminator')\n",
    "plt.ylabel(\"accuracy\")\n",
    "plt.xlabel(\"iterations\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Pd28_f_AqFKD"
   },
   "source": [
    "| Further questions |\n",
    "|:-------------| \n",
    "|Check the loss and the generated images.\n",
    "Does the image quality correlate with the discriminator or the generator loss?\n",
    "Is the generator able to produce all classes of the dataset?\n",
    "How can you improve the performance?|"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ppiZZAi2qFKE"
   },
   "source": [
    "<em>\"The image quality does not correlate with the discriminator or the generator loss.  \n",
    "You can further improve the performance using conditioning of the generator and discriminator and adding a decay in the optimizer.\"\n",
    "</em>"
   ]
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "name": "Vanilla_GAN.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}