Emotion_Detection.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Emotion_Detection.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "iGMZxCkXXdKn",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3fff6ce8-d92b-48e2-9520-19b113ee0596"
      },
      "source": [
        "!wget https://www.dropbox.com/s/nilt43hyl1dx82k/dataset.zip?dl=0"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "--2021-08-30 12:50:31--  https://www.dropbox.com/s/nilt43hyl1dx82k/dataset.zip?dl=0\n",
            "Resolving www.dropbox.com (www.dropbox.com)... 162.125.3.18, 2620:100:6018:18::a27d:312\n",
            "Connecting to www.dropbox.com (www.dropbox.com)|162.125.3.18|:443... connected.\n",
            "HTTP request sent, awaiting response... 301 Moved Permanently\n",
            "Location: /s/raw/nilt43hyl1dx82k/dataset.zip [following]\n",
            "--2021-08-30 12:50:31--  https://www.dropbox.com/s/raw/nilt43hyl1dx82k/dataset.zip\n",
            "Reusing existing connection to www.dropbox.com:443.\n",
            "HTTP request sent, awaiting response... 302 Found\n",
            "Location: https://ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com/cd/0/inline/BVMqvrPtHcuH7b0EP_Ab6NMa2JY5kDBI_FLrvdk3Ljfm28NflhDLshrKfJLDHv_v8ilhdF-2kjiBwYLoYv-C1iWeMgQOMmRNa8KC-sEWvT2usV2_sjk3LyPKDSY7hBRDVOAmXcXSPkivUGo0g6vO8J2y/file# [following]\n",
            "--2021-08-30 12:50:32--  https://ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com/cd/0/inline/BVMqvrPtHcuH7b0EP_Ab6NMa2JY5kDBI_FLrvdk3Ljfm28NflhDLshrKfJLDHv_v8ilhdF-2kjiBwYLoYv-C1iWeMgQOMmRNa8KC-sEWvT2usV2_sjk3LyPKDSY7hBRDVOAmXcXSPkivUGo0g6vO8J2y/file\n",
            "Resolving ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com (ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com)... 162.125.3.15, 2620:100:6021:15::a27d:410f\n",
            "Connecting to ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com (ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com)|162.125.3.15|:443... connected.\n",
            "HTTP request sent, awaiting response... 302 Found\n",
            "Location: /cd/0/inline2/BVMeH5hFzcT1oiDCXvnUiewBQoU7fi19bvWEUFK4Nu33K7DmRzmXRSU9yLF30s5rMmcJyu0WkWTSnewAl9BLCMbo8laPWhuu12srmPCvBH0kiJa-y1b32Ga1PWpF-gJs4wYy6sagwaTcZqMZdOjE4rdaFGjWNivZ7DWjIb5dFiQEjM-v5I70Cs9X2G5z0Ml7QV1VbuCG-MOYYUWeaD3t3e3A-gQ8-e6T4G5QvHCpWW_DcM4Ryc9UkxVWg4TLCFvWHEeBkMplzJ6dFnu3JDzuKLYX02t_lDjNKudt9djVfduFn-RQ0boz7wyBL-IDh7Te-fLK3eSg0FIL-cgCYOgUDtEDnLok_FaXaNPKncfYw0Y1DhekYgI0fZwwp1d1Ip8iJSo/file [following]\n",
            "--2021-08-30 12:50:32--  https://ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com/cd/0/inline2/BVMeH5hFzcT1oiDCXvnUiewBQoU7fi19bvWEUFK4Nu33K7DmRzmXRSU9yLF30s5rMmcJyu0WkWTSnewAl9BLCMbo8laPWhuu12srmPCvBH0kiJa-y1b32Ga1PWpF-gJs4wYy6sagwaTcZqMZdOjE4rdaFGjWNivZ7DWjIb5dFiQEjM-v5I70Cs9X2G5z0Ml7QV1VbuCG-MOYYUWeaD3t3e3A-gQ8-e6T4G5QvHCpWW_DcM4Ryc9UkxVWg4TLCFvWHEeBkMplzJ6dFnu3JDzuKLYX02t_lDjNKudt9djVfduFn-RQ0boz7wyBL-IDh7Te-fLK3eSg0FIL-cgCYOgUDtEDnLok_FaXaNPKncfYw0Y1DhekYgI0fZwwp1d1Ip8iJSo/file\n",
            "Reusing existing connection to ucad0b5c890241d935f02028a13c.dl.dropboxusercontent.com:443.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 63252113 (60M) [application/zip]\n",
            "Saving to: ‘dataset.zip?dl=0’\n",
            "\n",
            "dataset.zip?dl=0    100%[===================>]  60.32M  75.0MB/s    in 0.8s    \n",
            "\n",
            "2021-08-30 12:50:33 (75.0 MB/s) - ‘dataset.zip?dl=0’ saved [63252113/63252113]\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4V-kwycpXtDJ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "cadac7c5-947d-4a50-b2d6-eed25ffd6217"
      },
      "source": [
        "!unzip dataset.zip?dl=0"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
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          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6dcwbXc8Xzww"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "from keras.layers import Flatten, Dense\n",
        "from keras.models import Model\n",
        "from keras.preprocessing.image import ImageDataGenerator , img_to_array, load_img\n",
        "from keras.applications.mobilenet import MobileNet, preprocess_input \n",
        "from keras.losses import categorical_crossentropy"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qQRxQ8qNbvE0"
      },
      "source": [
        "#  Building our Model To train the data "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7HCUQigdYELf",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "626e366c-2800-4311-aaa4-77a63ff6b57c"
      },
      "source": [
        "# Working with pre trained model \n",
        "\n",
        "base_model = MobileNet( input_shape=(224,224,3), include_top= False )\n",
        "\n",
        "for layer in base_model.layers:\n",
        "  layer.trainable = False\n",
        "\n",
        "\n",
        "x = Flatten()(base_model.output)\n",
        "x = Dense(units=7 , activation='softmax' )(x)\n",
        "\n",
        "# creating our model.\n",
        "model = Model(base_model.input, x)"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading data from https://storage.googleapis.com/tensorflow/keras-applications/mobilenet/mobilenet_1_0_224_tf_no_top.h5\n",
            "17227776/17225924 [==============================] - 0s 0us/step\n",
            "17235968/17225924 [==============================] - 0s 0us/step\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FN3kEpAeZUGj"
      },
      "source": [
        "model.compile(optimizer='adam', loss= categorical_crossentropy , metrics=['accuracy']  )"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "z6kh9_hjbs47"
      },
      "source": [
        "# Preparing our data using data generator"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fpxBuUAlbmh8",
        "outputId": "82402687-0570-428d-af78-bdaad50444d9"
      },
      "source": [
        "train_datagen = ImageDataGenerator(\n",
        "     zoom_range = 0.2, \n",
        "     shear_range = 0.2, \n",
        "     horizontal_flip=True, \n",
        "     rescale = 1./255\n",
        ")\n",
        "\n",
        "train_data = train_datagen.flow_from_directory(directory= \"/content/train\", \n",
        "                                               target_size=(224,224), \n",
        "                                               batch_size=32,\n",
        "                                  )\n",
        "\n",
        "\n",
        "train_data.class_indices"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Found 28709 images belonging to 7 classes.\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'angry': 0,\n",
              " 'disgust': 1,\n",
              " 'fear': 2,\n",
              " 'happy': 3,\n",
              " 'neutral': 4,\n",
              " 'sad': 5,\n",
              " 'surprise': 6}"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0x-TwUhocaHn",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "70922d05-e1c1-4eea-9fa9-631bca5dab53"
      },
      "source": [
        "val_datagen = ImageDataGenerator(rescale = 1./255 )\n",
        "\n",
        "val_data = val_datagen.flow_from_directory(directory= \"/content/test\", \n",
        "                                           target_size=(224,224), \n",
        "                                           batch_size=32,\n",
        "                                  )"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Found 7178 images belonging to 7 classes.\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WNDgYni5c8Qk"
      },
      "source": [
        "# visualizaing the data that is fed to train data gen"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5tVIpYKDc2a_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "c76e7b16-1b3b-4afb-c539-6bf14de8d8c5"
      },
      "source": [
        "# to visualize the images in the traing data denerator \n",
        "\n",
        "t_img , label = train_data.next()\n",
        "\n",
        "#-----------------------------------------------------------------------------\n",
        "# function when called will prot the images \n",
        "def plotImages(img_arr, label):\n",
        "  \"\"\"\n",
        "  input  :- images array \n",
        "  output :- plots the images \n",
        "  \"\"\"\n",
        "  count = 0\n",
        "  for im, l in zip(img_arr,label) :\n",
        "    plt.imshow(im)\n",
        "    plt.title(im.shape)\n",
        "    plt.axis = False\n",
        "    plt.show()\n",
        "    \n",
        "    count += 1\n",
        "    if count == 10:\n",
        "      break\n",
        "\n",
        "#-----------------------------------------------------------------------------\n",
        "# function call to plot the images \n",
        "plotImages(t_img, label)"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "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",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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5HFZiPk9He2wRU4YxZxcmxTi+I9vG9jqTrnotxFmwK2+73R6x4/WYSUcfP6TviM7yhOpcqVSwsbGRcz6zdeQZIPscOS2/7z5ScZH8wDSzAwLgAwAecs79sjl/y5AvAIA3Avhqiby8nWNaVCqV4PQZI/aSVyqVjP0HBmz/xsZG9uAt8afTnb616JNgHGVYlDY2nVWGdIyhiA3nY/ucOb4CPyvujKEpQj0ep601LQeA1edoZwuUDAZG4wkwEVhEZoY6/TJmCqYZCXw/gB8E8Mci8pXhuXcBeIuI3I3BtOGjAH5snExn1QCTKpPYg+PjcR5cqLPFygt16hiDX4bdnxV8bTJpuUWzNjElM60cIXMuduwrl8vm3zGZy+Q9L0wzO/BHAHySltprICEhYTWwEh6DwOyXEvM8MQ8xefUZD+14l+Hz589nadR+1KGpDh1j9YkteR3nCxAya9j/QO3/ULm8FLaoLE7nm8u3iJG93DY2bDqXxfkWbQLKdbaem3ZpOefvew52yM/DfQ4Tb3kNhS4398kdM2F8/i3zxMoogVnD56xhj7kzFa34spyAviD62xcn375c48rNx2VNmzIKxP5Wp5ZY+hhnECqfbV5fenYWisG2AXd6y/v4wLY3KwG7hJeVgC2Lr7OSq9frObksIekzF2OOW2XaZJZYGSUwaxuojE3nuyfUeYvsP9+1cRBLzzZyTLZFcgIxlOEtxrnfHofq7+tYPn4hJk8RJxC7z3fvuHIsY2o5rSJMSDjhWJmRwLy0X5lh7Lj3LYK5HXdqcNIRwDgzEOO0QVG7L3oabJE4bnVbGSUwD1jbymeT2ofFcffZsYg7Q4j48tl/1llI599t+hgpWmRbs4zjdLZx/CaKUFROSIGE6m6VEBO6MRl0SF1mmtA3zRuy3cvwMbYuNkah7/0pIj9PJCcwa2hni7HysfXhltipVqtRTzs+x7H8bHwBHzHF9iQTX/ZaaEYD8O8dwJ6MIWK06Ji9EX0dxmf3+shW7jA+T0dbZ9vxY7H62Bb3KYKYZx4/h6Jy7b06W6T36odCf9ul8s65EU9G65RkPxqLQOIEEhJOOJISSEg44bhhzQFFkU0Xs7HLpBtXjnlj3PpOI1ds+u64tt+45S57KnYWuGGVwCQMbYgJdy7vEejbSqwsycb2cBEx6JvDtschgsk3nz5rBTDtvLhP7mmY9SJisIjHGKdsH7lny7Z/45J8i1YsK6EERCTn3jkLFO0gBORfZN2AUsFx665du5YdaxxB3Y+Olynzy2Y326jX69FQUjHyzieXj3grg5DzS4iE5HvZTZrr7HPvtWl1yS8vnQby3pvavj5Fo/mOMyNi3zNbRyUC9VjL1XfCF2PRnltbW8vV8fDwMHMl5o1IfG1rlyjbcheBlVACi8Rxm8O9kVHGU6/ovnHu9Y2Oxik3dp1Hhb6RQSifafw8ZoFEDCYknHCszEhgHhqwjL0XKpeHYzyv7Ruqx/LV/DREdujLw3Zm2XYpmzbmATiNF2ARd8H3xfgXX96huoV4iHFhv9z22H7hQ7LaPOy99hz7a7BZt0jnIMbUSkBEHgWwA6AHoOuce7mInAPwmwDuxCCwyJucc1dCebBjxqxgQ0bxC+KLG2+9+ra3t7Nr9Xodp0+fzuUL5G1XHt7ZvC3fECKUbN4cFjsG7nwxTzSLECcQOmYOIEa6sbMUp7ecgh0yh+pkQ4Zx+zEnwB2qSCFZTsC2n9r8NuS45XZ8XI19bry56ZkzZ3Iy2vfL7nNYRhnPGrMaCfwN59yz5vg+AJ92zv2CiNw3PP7vZlRWKYS+DkU2ne9LZF+GUB6xqTEf2VfE5Ps6R4wAm8XXkO8fd/Q0jo0f+6L68ioz0vCVxW3k21UIuL4rtX1OHDcxRsTakYOvM3McRRvP0DdyWKQimBcncA+A+4e/7wfwA3MqJyEhYUrMQgk4AL8vIl8UkXuH5y6668FGn8Jgq7IcxOw7MOt9CBMSEspjFubAq5xzT4jI8wB8SkS+bi8655yIjIz3nHPvA/A+ANjY2HCLmhoJDU+tvQfk55NrtVruWId8PtszRIJZe7louig27JyGQIoRcswnTOJ3wCZUUXpfuWWm6EKcQOy5+O5lOZibYTKYt5MLcTtMKvrk4GjWunLwWHICzrknhv+fFpFPAHgFgEsyDD0uIrcAeLogj7mzozEiCxisGjw8PMyu2X0H6vU6Njc3c3m02+3soXHIbO7oTCAWPeQYSeobNflYaV+9Y53ctwJxnJfRPsOimYqYI5EPVg52LPLN4sSIQd/uyZYMZE5A0/d6vZxDkN3sVsu1slWr1ezDYUlnLYdjWGp4Mt0TcZGKYNrNRzYAVNxgL8INAH8LwM8BeADAWwH8wvD/70wr6Kzhm/qxG2LYh1Sr1XLH/X4fR0dH2dfP9wLYmQb+QsY6SIwkCylLWxdbbpm8Y9dDCqvoBeU68z1W4fBIKUSSKmIKQ+8N7Q7sI/v43tBxt9sd2WSWRySWGLRKABgNeMqbj9gZEN9ocZ6YdiRwEcAnhgLXAPw/zrl/LSKfB/AxEXk7gMcAvGnKchISEuaEqZSAc+5bAP6K5/xzAF47Td4JCQmLwQ3tMRjLPzSfD/iHu9YW7/V6ODo6yoa13W53hERi25WdURRlSKQyw/iYn0LRbx9C+YXOxeT0tWfIwUdkdNWdfTbdbnfk3pi5VcQJxMLI2bzUWags4Wl/lyE7+d5FYmWUwLzBLwc/ULtSje1BEcl5eHW7XVy6dCl7gWxeapez95gqCRtqDAAajQbq9XrOu8zanmXDTPlsad4YdBwUvbhlVmnGzvHqPXue93Gw1/f29nLPketn9w/U+y24k4Y8OX2zNAcHB7lVhlyfEBnsU/y8AS9fP06cwLEBP2TegahoR52jo6Psd6fTwc7OTvbC8dJP3qXYHq+treU6vb7w9mtglxrHvvK+OnJ9p/m6+BSLryyfnGVnGlg5d7vdnELmqdvt7e2R9FYGfSa+DuibEQltWOs75l2Ibb10NGOnKWNtbz8EPkV9I3gMJiQkHBOszEhgEfZQTNPb67GvgNqsRV9Zaw/ysLJo2FnWrrco4gQW7YCScHywEkqAh1qzAg8LY+YAr/SzocF7vR6+/vXrjpB6XYe9bMdbokvz1rJ3d3dH5LRysU/CqVOncmntsYjkHFiYb+C8uQ18Xmw+vwltA4uYvwLXnyPrtNvtLAS3Dv+tUw7zM6HhPzAartzWwa4itXW0aZmbCBGD/X4fh4eHWXqey2+1WiNmXMgnQeVW6PtjPQZP9L4DMTt03Hz4C+u77jtme67X6+WIQSDvHOILF8bElj5UJq663W7uxa5Wq7kX1/fSK/SltvYpO9OwAwx79bHTFMuv8DH2fGxHPbZzdbvdzBsTAPb397P27HQ6uc6lSqDsLs7NZjN3rOHbgNG2BEbDs3HbhN4JrYcqQ25ny/NYWe1/3zXNS9+hZcwQrJwSOK7D1kmneXzpYyTbOGRdUbmTtvW0L6pP4drjcbbmZnOnyHQKddRYPmXK1XOhqd4ycsSUxjyRiMFjgmV8IRJOBpISOCY4riOkhOWh7IdjZcyBWc+VMtHDpI+PJLPDsZ2dnexapVLB7bffnqWv1Wo4f/58ZntaPwBfw6uzkBKK1s5XHwMrpyXRLEkGAJcvX87JvL29nXEB6+vrOeKwXq9jbW0tO7bcBO+doDKyw4sPvufS6/WyZ6h2vq2DJUQPDw8zYlCH0LYtW61W7llYe1uvaZu0Wi3vkl+9t2hBFTsLMSFpjw8PD7P0e3t7I74hoZBqVg5FaPES8zyLwMooAR+mGQLzQ2QlAMRDj1nnoGq1mmPs6/U6zp07h1qtVuj2Cwy8ApW1Pzo6ys0WMDF4eHiY6zBXr17N1Wlvby+Xt3bcSqWCXq83st6dVz/al8+3pJe5CJ7qDMHa9p1OBwcHB9m1drudq1O73c7aV70rrcdks9nMOoEqN72+tbXlZeUVlhzlWQol9+wxO2tZsL1vFfJTTz01MoMUm77l/Q6sArFtrApg1vtwxLDSSmDe8BE5RUSdprMvWxErb92GfbsXhXbKLaMEQzMakyJElPFvnwy+Yx5x+a7bvFmpFrV1qD19Hds3bVekwHnKz8obum+ctvOVxXnPG4kTSEg44UhKICHhhGNic0BE/gIGewsoXgTgHwE4A+BHATwzPP8u59wnY3mx7TYr2KEoD/XZiYjTsQOPzxwIedf5uAfrDGOv82Ij9nJjZxcl1Gy5ml+j0RhZGbm/v1/K9ND8yj4HXtJrScdOp5ORmyqjLafRaGRyqEOPHisnYM2ntbW1HGfgexbcJvybj0UkC+Xlg+8ZW5OLnYM03JwtK+Sz4DMv1XtRTceikGvjoMhMnFgJOOceBnA3AIhIFcATAD4B4IcB/Ipz7pfGzG9SUYL58YOwNp3PhraKwpI++nBsPpZEsx3A53nW7/czoofL1KXECiaF7EwBgBzr7pzD7u5u1iEt4QYABwcHufStVgutViurK8dGjD0DDqd1eHiYU6CqjJRFZ/doq+harVYWh79er+c6PSsBn+Ky4GN9FpakDKHb7Wbt5Zstsow/tw3HnNzd3c0Rh3a2xPcB4h2J1G24Uqmg0Wgs1C9kVsTgawE84px7bNXnsyeVL8Qez+ph+V5u/mL4jkOy+eBTeuN6tfnyKYOizjvO8byfRVkUyTFO2/K540gMvhnAR8zxO0XkQRH5oIicnVEZE8E3LIsdT9r445ZT5rhs2lnKOc2903TCcdrHN8orajvfXyz9pMdAuXfIJ8eyMLUSEJEGgL8D4LeGp94L4LswMBWeBPCewH3Z5iPzWEHoG4KNs5UUTzuF0gHXA1/onw1FxcNT30tkr3Ne6lykf5yXDpd1ftn++exKlWvcKUVO6zv2mUKxduV7bR4sZ+iP03Jbxu4t6oRl6hzCqo+ILWZhDrwewJecc5cAQP8DgIi8H8Dv+m5yZvORVqvlZkmEDPPPXgRglMhiWNuzUqnk7HIfMViv11Gv19HtdnFwcDDiYWjr0+v1MqcdntfW+PV6bJ2HnHM5Gx9AjiQDrnvMOedyRJfea512Op1OZiOvr6+PrED0Od1oWTFC0jmH/f39rI2dyzspVatVrK+v59pHy+p2uyMhw3g5sPUKZK/G3d1db1Qofv4qJ4PLss+h3W7n7vF5Bdp8Ysu4WT4mJHXfgUqlEiQr54VZKIG3wJgCMtx0ZHj4RgBfnUEZCQkrDZ5J0HM++JRDbMZj3pjF5iN/E8CPmdO/KCJ3A3AYbEv+Y55bS0OHvAkJCfPBtPsO7AG4ic794FQSEZICSEiYL0702gELa8f7hmsh+07Pc9x8m97a6mzTWoJP08bCerHjDe+Xx84xMYad62V/x4ak404rWmcphiX0Qnnb9gwRvj4ZfJwA11GPrV+CTWvLLftBmmY4v4yP3g2rBNjJhEkb366zSlZpPDl7zTrt2JfHuYGTjhJwzuXDUOm5EHSFYWiO2JJE6sDC9fTVwVe2VRIa147bwMISor4Vh0ya+WQCBu1pCUoNIabXmLS1nahSqeSch+wyYwC5vQA0v1AoeX6utpPX63Wsr69n9VCiz8oR8+TzLRUOhTJjKNGsxKA6Di0KK6MEZq0BmZzh/H2rz3wscSxve2xHBMzSx6bj+v1+zgXVTqP5vnJ2kwvOkwOesiK0+Wln4S9fiKAqclrisuyoSmcTFNatWBVTSAmwEmKFyUFJrecit1Gv18spAasw7HJvLc/OYvjqaGGVoqYt6zjE7bXoeAIrs4BonDnrhISE2WFllEAiABMSloMb1hzQoVuMcIrN48bIJzsc1nKs0w2TefZ+HvEUBRnh9NVq1Uvm+eaoOS8mrELDZh9iQ9vYsc9LkOvra2+bttvtZumPjo5GOBMe8sc4AQtfcBJbbsiRqAg+c6asd+GJJQZFJFtVNiuobVXWY9Darbz/XbVazR2r55jakOvr69n1Xq+HnZ2dkTiBSoSxDO12e+SlsfYgb1zp4zZsHZis01WDwKADqQeibRutcwxMSFar1dw9VjkxgcZl2dkCVkIaYzEkD3dGn43OHIFNa98zGzZOf9tYh81mM6u3kndatm9GwqdEWCb9zdf02BftaN5YGSUw65hq2iGYoFL4XrAyy6cAACAASURBVDI7LcRpucPo1985lwvo2e12cy62mt7uYByDKoHQF4inCC0B5Rs12ECjtlMw8RjyYtOyeOmrfcn52CpIvWaVmc6gaH2s7LpRiSUw7XJgdqnVHZi4TXyEZK1Wy7kv64yA1tO6BasS4GXeWg7LYdvKknuhqVgOc2bbbpxRxyywMpxAQkLCcrASIwFgPrMDPseSUJn85Q852eixb0oPuP4VtF8Q+/WO2b+an/3qcmQhnjqynIIdhods8VlgHH6lDCdgp9d4eoxtah7+2yhFvnvYjOMoTqEvcIwv8v0OnRuHE7CjhkXOlq2MEpg1ihqRh/i+uX4Le2zNAWDQUXW42+/3sbW1FYz3z7KxHLH5dpYDQM5mtVGJRAablVol0ul0cs4wFqxEfISlBZOu1gTgTs+rMG3nVJNE66WrM20bqSzOuVy7av2ZIwh1PDZLrMLVMGc21DmvGiz6MLDMFiHlYNvA5xeyCNywSkAR0ug+O38cTsB+weyXX4+t7RlzMmHvQk2vLz17HjLfYDsBhybj0GX2SxhylgqNJPilZU7Atzswy2nvt+1l25c7upLGmt/W1lawLbXckBckE772uFqt5ohAW77KVTQK4Pts2b5nbGE5kEX7zCROICHhhCMpgYSEE46VMQfmMQRiZ5gyRE4sr0nvLZO2rI95QsKssRJKoN/vj+yxNwvYjs82mY8YtIg5u3AsO+t0oudseo0NqHLYsmzcQJ8sTBSFZgeAgd3NtrddMKOhzPQ+a8drTEI7yxGzvdmDkAk0295sH1snpnq9jlqtlms3375+2g52NaLmbRVnLAQYy6k8gNbXrqr0KW3eHLasF6CP2+GQ9urMpvWMtf2sUUoJiMgHAfznAJ52zv2l4blzGGw+cicGEYTe5Jy7IoPa/yqANwDYB/A259yXYvlzo8wCselA3zGDSS7fFKL+8UtuV+cB+Y7PMw++GAAxTz5mty2Rx9Nr7GjDncvnFstEYVnYl5ZnQ/iF9jlDWWehTqeTIwptXhxz0cfC25V/LIclHe2xz0mHO7z1Og05V4XeK86LZ5tsfEY7Bb0IlFU3vw7gdXTuPgCfds69GMCnh8fAIPDoi4d/92IQffjYwTe/XSZ96FgxjnIKvVCx+f9xO6+v45fNLyRHyI8gVBb/hWQB4su47fWy5lvRjMg07RlCUR247Fn9hVBKCTjn/gDAZTp9D4D7h7/vB/AD5vyH3ACfAXBGRG4pU05CQsLiMY3hcdFdjyr8FICLw9+3Avi2Sff48FwOMud9BxISEsphJsSgc86JyFj0vjP7DjSbTTdrTmBYRvA45prpOx8iEX1DSPZiq9frmQ1oSULA703I1y14VSGHwLL2MK+cVAJOZbIkmvIeZdvI5qU2Lns+KphktE5LHFkoFG5MEYsZCFwnOENy2FWESgbaY+scxLENOV/fe+CTjZ+pPhtbJy5rkZzANErgkgz3GBgO958enn8CwO0m3W3Dc0FwI80KsTzHUQLjkIiqBCxLX6vVcsuUmfiLBQf1bVLBZfnscs3DKle7qk1ltAqE6xwjqEJxDfS3VYqsBHQTUk3rU4Kan3ZUze/o6CjaPha2kzs3WLnHqxlDBKZVSr7rjJgS4Nkfn+eiKkJfe80b0yiBBwC8FcAvDP//jjn/ThH5KIC/CuCaMRsWhqKOO84owAd96FZ783WbH8eQs+WFYgLwNVuuPS56Occ5Hge2jmXbg2UuCsgpMrq02iKm6H1fb17CW/TcxmkvvtdXHx/4ma/kSEBEPgLgNQDOi8jjAP4xBp3/YyLydgCPAXjTMPknMZge/CYGU4Q/PGOZExISZohSSsA595bApdd60joA75hGqFkipoljw1keBvK8rtXezAnwPDDb5fw14qGiPWauxM6r81fSRjnWcu0XxaZVu9x+YX3Tcb5hseYVMgE0P4WIRDkVe65oRMFLq9mHw0LNJXscsuvtHH3o2KKMCTvudGXM/JonVsJjcF6IDctic7W+B8xkHb/IPKTl/QL04erKvtDDZs7AhinzyW2JQBvPX/MKrajzcQIsk42DwO3h28fBLi0uWoqt4E7P9WT7eGNjI0gU2jw5HyunvVefOxOSPpLUosjj1DfEt/LFPjpFJt6scUMrgUlQVmszfPZgKF3M5rPX+OUJfSlinShk0/pmNXzpi+rCZbFNG/tK++QsKzef57Tj2PTztMFDcvjSsEyLQlpFmJBwwpGUQELCCceJMgfKzP+Hhos+YrDIHg3JUERW+ogznxw2vW9qTa/bc0XD/lgbjdN+TJSWuZfzCMk5jXk2qbk3SVqVY9z6T1LONLhhlQATTj5ih9MzcWav7ezs5O49OjrKxdRjAo5X1VmW3W6mUWQzc0w9K4dzLnOe0b/YnHuj0RjxOAyVr+RmiBhkfoKdo2w5vV4vt/pPRDLCU2P5WeLUhhPTtrZLsW25zWYzqDSYoNX7FXYmJqTQQjM3IecqvY83uLX1d86NEL521sMn9zyxMkpg1kTItJp0WnnKEoWzzqsswVaGsJpEzrJEn+/ecY5j94eIwUmeRRnnoNi1ccpcxvQgkDiBhIQTj6QEEhJOOFbGHFhlhObhY0NdJuTKEm6+YWSMnAvJVLYeMZQhOcvkPckwd9yhO/sqhPKZNN8Yd1LmfJlyF0kGWtywSkDJulhHDbl9OudGPOJsrL5qtYrd3V30ej1Uq1Wsr6+PxBi0xA7vzTcO6RMjtjS/0LElpzg/DkUGhBf5AKPuujbenqb1LeHV/7z60S5htu7L/JwqlUpuU1Wuf6wt1YvSgo9tVCG9Bxi8G3Zj1HEYflYcPJPU7/dH2n4Zm44oVkIJzMNjqwwhxddCU3N8TV+u0Pp533RdiGXn+8f5ipX5cnDMQd+siO+YPQp51oFdZpmMY6/H0FZhZTwW7ewB1zm0RsP3BQ9NpYpI5mJt77P1nHSKzzeFWzSLs2gkTiAh4YRjJUYC80CR/cvXi0YivpDjuh69jE0/Dw6A0/h4inHyinEb49q0sS9njCPhL2cZHqMor5gcRelZ5klHamWew4nnBNgGnwU4lJcFOwcVkWrW2aNarWJvbw/9fh/1eh0bGxsjq/lCpoKmCYHt2KLVZCGHFx3K2lWFsQ1HLW9h79c8i+JAcoAOKwtHT+J0bD7YNCIy4hBk4euYtj3YXGA5WBZ7ry/UfKhc394Rdn9B316WRfVYFAp7nvj3HPhfAPxtAG0AjwD4YefcVRG5E8BDAB4e3v4Z59yPlyhjhCiZFqGXS+GLUBMaGTCZ1+120W63szX1lujx2ZAxBcMvfcxu9+Vhv5x83VenUHht3cxUj3k/hNiy2Vgd2bbmOokMXKFt5CV9dsDo7sCxERu3hY+7CG3+ynLpb6vcY/VlBcIysByhmBJFH6N5oAwn8OsY3XPgUwD+knPuLwP4UwA/ba494py7e/hXqAASEhKWi0Il4Dx7Djjnft85p5/Gz2AQTDQhIeEYYhaG+I9gsB2Z4oUi8mUA2wB+1jn3h76bROReDHYomgsf4Clv7GGWHZby0E+Hy2oSFNn5setFsoXsUr02zhwz8wehYWgonU8mhs9hJ2YOxexhHtaXsaWL8rJy2jRFTl2+/GJ1HCdtLP28MVXvE5GfAdAF8OHhqScBvMA595yIfB+Afyki3+Oc2+Z7ndl3oNVquXlwArFQ3mWch2JE1+7uLrrdLprN5ohTiU+WIps6VC7LxHvx2RWKRaGqWQ5bjobWsh3D2qq86q1Idmvjc4htW39VorynouUMbHoOzebrePZZxAjNWKcrUi6+2JCh/SN8pGGoLJX5WCgBEXkbBoTha91QYufcEYCj4e8visgjAO4C8IWi/OahBMo4ZFhCruxoodfrYW9vD51OB51OB+12e+SLGpoR8H3JWR4bTJRfLF6Saq/X6/VoO9qXjb+syuCHiDdWAr6YhL7OqTLaWQorh08JWA9CLnt9fT13Tetr28vGDvQRgT45ihQ1j1i409sZIZuWlSmXy8eqMBfpQTiRs5CIvA7Afwvg7zjn9s35CyJSHf5+EQabkn5rFoImJCTMB2WmCH17Dvw0gCaATw01q04FvhrAz4lIB0AfwI8753gj04SEhBVCoRJw/j0HPhBI+3EAH59EkEXaQArf0HcSAjEh4ThjJTwGnQuvrJt0YZFlfAF/OKhQOb4yra0tIrh69SpqtRparRa2t7ext7eXu24JthhzzNfZeWV3dzd3HxOD1pYuYpxt3ZhE9K0CtHLYjTyBUQ9CayNzPtVqNRcmzXoQOpcPtcXEINeBbeW1tbXS3oScl48TiDH6lrBjr1B2ruK8WYbQZjbKCUy6Qe8k/WUllAAwv6WUMSXAswWhjuRbBbezswORQay8vb09HBwcZGnr9fpIzLjQ6KJoE4u9vb0os1yv10tvVGE7Nndy35Jemy8rgcPDwyg7bgk7bROF3Smp3W6j0+lknYKVABN2vo8Fk4o2PqFFjJDzsfKx6+wKzWReTHFpG9i0diZByeZFYWWUwDwQGu4DeR+AontCbH/MnXcW8L20sbRAcWy7GKPPisFe932ZY2XF8vX57NvfRVNzPoZfFXjo61uE2LRdmfSha2Xk8NV3kSZpWkqckHDCsRIjAefcxDZQDEV2PssQG8Lx/LvKW6lUcPXqVTz11FNZuq2tLZw+fTpLa+1H/gqyLamLk+yxhR2W6zDbDrltqG8eStthNtvd9XodrVYrOAxnk6NWq42YU/qVrlarOTl8ddZ6qf2rbcDh2tlMYS7i8PBwpB6+CEeKkEMPf4F9fgN2yM+cQMys841uYo5F/A4UYVLeTLEySqBoqeokiCmBcYakwGgnUA+7SqWC7e1tPPfccwCQdcRTp05lae0LwwSc2pZaXrvdxv7+fs72tOAwX7ryz6cEYisSuf6qBFTZ9Xq93IvIuxCzUrTXed8Bbs9Op5NTAu12O3v+yqdYZWWPmSM5ODjI1aPT6WSy6b0WIVtcj+1v+1z0QxUiBsdVAj4+RctMnMAM4bPbueOHPPsYRZ5m+nLZ3XlD+bFcoa/EOHa9/ll33ZiNz8d6L9/vS8vXuCyfHLF4jj5bnhV4iPz0dShbNqcNoUzaIsY/9HscXiBxAgkJCQtHUgIrikV+CRJONlbGHJj3ggnuVEpA+YahbCtqegu91zmHvb09XL488I6u1+tYX1/PcQKWhOOFO7oISdHpdHJOK0yw+YbFmrbb7Wb+Cnre1tvKweHI9V47x86kpM1LOREffOG0rI3b6XQypyddjq1y1Wq1nGxszjE3wXJY8q6M/0Rsbj9m9/vekZAZwJxXqN2sKbDIBUQrowRm/eVj24q9wWIbc/psWPYYtC/Y1atXsb09WC3dbDbRaDQyDzkRwfr6enasL5YlAplwsp3PxtxnObiuh4eHuf0RmBOwnavZbObyOjo6yjkAWZ6B2wcYEHKh2QNWIJ1OJ+f5aGWq1Wq5GIL1ej0nm7LyWj47LW1vb+c6GJOwvtkUX/tox7Pvi5210HpYhRubTbIKg5Wgj0/QsrXt5kGUh7AySmAeCJE1eswEV8hjUK/Ze/mYp45iBFIRcxwr2x777uP7YzMg9npRHLxYHfScddhh4pQ7CZN3odiHZdqD5WKSLQRug9iXfBwUPc+iexaNxAkkJBRg2nn4VUdSAgkJJxwrYQ7Ma140Nry3ZZe5p2hYaW3JbrebEV8ikiOrQnWddg47dB+HE1Nb0zqo2LQ8RA556un9PuejoudZtF6hqI5lTDZfWn62PnknbevjjEn3HXg3gB8F8Mww2bucc58cXvtpAG8H0APw951zvzcHuUvBvmBMDAKjtr19oZkIDME5l5F7wIB8e/TRR7PZAhHBXXfdhVtuuQVAPiYgkPeeU9jAq+xOze6+mta30Ofw8BD7+1ngp1wbqHdhyPbmNnj22WdzaXgVoXXXrVarIwTc+vp6Lq0Ss+wWrESgvde2h539AJBbogwMCE5tM40FGcrLehSyEmRCUhl+S+DGFIQlePv9/ghhy67RWoa+k4s0QSbddwAAfsVd319AFcBLALwZwPcM7/lnMgw3tiyUbVBOxwRV6J4ymORromWXudfKOs4LNM4oKUZmxtIWYZEvfNEIrKgOkxJ+qz66KBNZ6A9E5M6S+d0D4KNuEHD0z0TkmwBeAeD/m1jChBsCZd2Xxxnq83lryiyzo5VV3NNcnyWmIQbfKSIPisgHReTs8NytAL5t0jw+PDcCEblXRL4gIl+wkVVm9VcWofvK5FWWJ/Adl5VrknvHga+corKL1iQUdfhZYtxnHnvWsfRl8vPlO64cy8CkxOB7AfwTAG74/z0YbEJSGs7sO1Cv1908PKTs3nrsacakWdGLwJt12vBYHCJ7d3c3izyktrU6E128eBGnT5/OeeZxmCoOt2VhnYfU+cW3dNY5l3kvKtrtdpa3kpdaZ17NqOdCcly4cCF3bn19PWtv3+amvMkqbwZry2SCkh2ebHpbB5/MHOGJw3rxEu8ivwp7HHtnbVvH3h/gujOV5tdsNke4jklh5b5y5Yo3zURKwDl3SX+LyPsB/O7w8AkAt5uktw3PLQ0+wkyhJAyfi+UTumbJHQ411W63c26ynB+/ePxSF311Q0qAr9nVjiqjJbosIcfKyZKIemzzbrVaWYezSkDrw2RfSAkWwddRQzMvvvr7Orbm6dtLIYQiToTDj/EeGNzW6i5eqVSwtrY2sgR6nph034FbzOEbAXx1+PsBAG8WkaaIvBCDfQc+N52ICQkJ88Sk+w68RkTuxsAceBTAjwGAc+5rIvIxAH+CwfZk73DOLc4JesFYNZY3IWESzHTfgWH6nwfw8+MKMuttyIDRITwPFX1DvxBL7evwIRaah+t2yGoXioRkDsktIiM2Lzvs8H0hu5anIHU4rMc+3/4yTj6+snx8S4h4LCL6Ygt19P6ioC6xOhQp9mmI4tixNUmK9pScNVbCY3BtbQ133XVXYbpxvrz9fh+XL1/OnDT29/dzNpolDYHRl5zDO8X2tOPz7JSyt7eX2YAaJ18fsq461Pw4NBfvPXjpUkbHQETQarUy2e3qxZCcamuyjJp/6D5ezWjjEQIDjkBJO15FqCGzbDmWkGQnHQ7rZR2TrNONtk+I4K1UKiNLsev1eu56mf0qFTHC0m5Kq2lj+TBHcu7cOQCD53P27NkcoevDJKPQr33ta97zK6EE6vU6Ll68ONM8dX28NnboC6EP0rcZh01bNE0W+krqS6yebmfOnMktla1Wq1lHtvfqV9q+9M65zBNRoXEBRQQbGxtR0rBarWYd3xcfgXcDtrMevBGor/4qc7vdzuTWTm2Vqg2uygQad5But4vt7e3s2bESsMt7+RnVajVsbW3l6sizK1pnLdfm5SMgeaSkaSyxyuw/y8bEYL1ex/Oe97xsk5Zbb70VZ8+exazxwAMPeM+nBUQJCSccSQmURCIBE25UrIQ54LNPZ4FarZblGwuQYf/rb9/w33dc5O7qK49tR3vOmiVFnnk2P41yHJqb1ntDYa7YPGKikNvEXmO5fGG4eMhvna1iqxmtN2kIMacern/RuSICr8g/oIyMXK41xcbxVZgVVkIJ1Ot1PP/5z5/4fl/j66YW6ql3eHg44izCnTEWB46VlO38vhWKnNYSWzs7O1kHbTQaOccbPVYw0ddsNnNlKSFVqVRGHH4sB6ByhMJxa1rrYWnDfvnqZGHJvE6nk61eVPuYVzPaFXbc6VkpWLs/tAmMgkNz2fQcV5E5E0YsQlTRLEUMlUoFN998c3bcbDZx4cKFbPXl5ubmSBi1aRF7P1dCCTQaDdxxxx0zzbPb7UJEsLOzAwB45pln0G63s8bgl8X3pWMZbVr7OxZ0k/Pb39/PTevpslq7YYZ2RuccNjc3c2VpfYBBx9ve3s5IN3bXrdfrI7sBh17UWq2Wc0Gu1+vY2NjIju1OP75pvaOjo0wRdLvdHDHY6XRG5Na25x2YWEYl81SOra2t3LPh2ZPDw8PcOfvceLYAuD7asqSelSM0EmLiryguoL23Xq/j7rvvzsl4yy23ZLMrRcuUZ43ECSQknHCsxEgAmD3xVmTTz6OMWeaViMiERWEllEC/388N4WaVpx0Knzp1Kud0sre3N7Jaj8maEHReOeZcw+nt/LKdf2+329je3s7df+rUqZzzkEWr1coNUW+66abMHLGRhNR5KLQxaLfbzZkxvjpZE4Btb64vL0bi52nNGuVrgFEugj0GdQivRCQPuZkH2djYyMpqtVq5dyDk22DrYP0XmMS1ZCgP2Zlf4NDntv7NZjN3XKlUcHR0tHBCULESSkBtylnn2Wq1sk5z+vTpnFcXx/u3L0TRywJcJ4aYVbfnfOCX/uDgYMQB5syZM9kLxZ56dlMTANnux91uF5cuXcqIUJXZdgKrFPb397G3t5erB8fvZ1vdgj0u1QFKOQB1jlIZbrrppiyt3Xyk1Wrh9OnTuTBf9j87LT322GPRXZxvueUWnDlzJpOR24thnzl7NvrCpGt69lT0bVireTUaDTzvec/LrjUaDZw/fz6X9tq1a5mDkm6MsyilsBJKYN4IefbFjmPpfJ28aKqwKL/Y/fZaaJor9NLEPAjZs5ERk6us+cIedvrbxiO0U7m+fDheQ+xZWHKUtzkv+2xCaX0fA18+vnvtiM7WF8iPOmIzOPNCIgYTEk44khJISDjhWAlzQFd3zRqWvNna2soRTvv7+zm/AR4qsz3Iqwqt2cBz5ryRJfMNnI+93ul0cOXKlex4c3MzOsxUM6BareLUqVO4cOFC7poN0b2+vp7ZyxsbGzliUDkAPa7VarmVbJcvX86Vr6shFadPn0aj0YBzDru7u7l7W61Wzia2C4yazSbW19czP4mjoyPs7e3lPAotd8O2+ObmZk6uU6dOZTyKkp3cXgrLg/jm+O37opyB1tnn5BQiCmu1GjY2NrJrtVptxG9Cn4VdiLUo3NBKwDbmmTNnUKvVsuNnn30Wu7u7OZvVvtS8gaQljJR593VOnxJgm5Zl5I1Bn3322ez4tttui9ZR5RYRbG5uZsSfdkYbV+7ixYsZIeXbldh2trW1NZw7dy6T+xvf+EaOtLPKSURw4cKFjIS9du1aRsiJDJY7W+XUbrezWQzrHAUMNhjd3t7OiMNOp4Nr165l7XlwcJBr7wsXLuTena2trUwB9Xq9kXj/1ha3pKLthAqrBHzOQjEnJ1uWLg+2eO6553LHNtahc+F9IOeBSTcf+U0Af2GY5AyAq865u0XkTgAPAXh4eO0zzrkfLyPIrCvND5RdaH1EWoz0CRFFvhfHhyL3W6tQOp2OlwwsypvJJl1PYNNph6nX66jX67kRiFWSa2trOHXqVC7uAY8E7DPb2NjA+vp65hLMIwF7bIOFMqlpYxIA12MRhL7YvIlKvV7P1SPUVgrfbIQ9tulY2fvysb+1fdhTsd/v59yotVw7yljkdGGZkcCvA/jfAXxITzjn/iv9LSLvAXDNpH/EOXc3EhISjgWm2nxEBurqTQD+49mKlZCQsChMywn8NQCXnHPfMOdeKCJfBrAN4Gedc3/ou1FE7gVwLwCcPXt2rLDTZaBDSs23Xq/nVmY1Go1cqKnYijEmmNRzjP/0Xh462jj7RWYIO+3s7e3l0vKqQl62a4fouihIcXR0hGeeGWwfubm5ic3NzUwu5Tls+1gugwk4Di9m8+HhLw/P7QIjjuizvb2N3d3d7LqSZjYmv4WaNRbW64/9C3jYbmM/cluGTAfNK2biMTHI71QsxiRHVwphVibDtErgLQA+Yo6fBPAC59xzIvJ9AP6liHyPc26bb3Rm85HbbrvNxVZgTQLnXG5llw3p5ZzDxsZGzgX38PBwxHPPwhfHzjp5sOcdE4PaKWq1Wk4RsFLgJc1PPfVU7vp3f/d35+zWg4ODnKLTcvr9PlqtVs5j7sqVK5kSuPPOO/GCF7wg61Rra2u5VYOqNLWsF7zgBcH20PZV5dhsNkfCetn0BwcHGfm5t7eHK1euZMTrwcEBrly5knUCJdhUjltvvTWn6DY3N0c29rCkLq/+tHLYsGdKjNpyrbMRK3fu2Pzc1tbWslkKVlwso76rNp9ZfxRjmFgJiEgNwN8F8H16zg32IDwa/v6iiDwC4C4AX5hSzokQmrKxxyFCqIjsG8ebzpbNU4I2je9+XRJt08UYbEs08syD3QRFZwKYoLMjFquguDOFAq9yPlw3IN9hOp0ODg8PMyWgv21nZA9DjhGgcqpcPAqz4JFAiP0PyR66xs+FA4WEZNBjOyLhzWvmjWko+f8EwNedc4/rCRG5IMNdiEXkRRhsPvKt6URMOC5YJKOdMDtMtPmIc+4DGGxB/hFK/moAPyciHQB9AD/unLuMEpiH5rPamYekOmVo52djMrDWB+JTdqGvROya79h+cUXE+wW2f7ywybdFGXDdLrf156AidhheFIK91+tl9x4dHY3Mz/OIRL/8ygeEnKt4RGLrZn/HpnCL4Muv6Bn7yveNAH1lhPKNTUHOU8FOuvkInHNv85z7OICPjyuEtYlmCesbYF9SYGBL2s0sj46ORla+WfmYfFLSiR++dib70NbX1zP7UDuXTW/T1mq1XNlqwyvOnz+fUyjnzp3LCE67Ok/rrx6CCu18f/7nf45HHnkkk31raws33XRT1ll1M1Mty3oe2nwUa2tr2Rz/zs4OnnzyyVxbWSVinXR4VWWtVsNNN92UM5/Yyy+0z4DKrel9S5pZKdphONv4msZXjp5T7O/v58o6e/ZsFkKsWq1G93ns9XrY29vL6nZ0dJS17yJGVyvhMThP+L7g+jvUwOPahkXl2uOi/zZ90YsXyjsmg55jVl7jC9i01k3WXvMpbUts2bz0xbZKwxcHkJ9NaLUjQ9vId33cZ1Zm1BC7l++3zkJl7rUkc2yEM2vc8Eog4eQhZgYsmrc4DjxJWkWYkHDCkUYCASxiGDZp+eOQV+PWI2Z+hK6VJdGmnLsCoAAAEKRJREFUwTh5j9se0+Rd9t5lv08xrIQSYPZ4VrC2pjrpKNbX13H69Ons4ezs7Ix448XA7LUlstbW1nJ52bnt0Dy3gufgNXyY4jvf+U72W8tVZxTrIah2O+95p/k1m80cMVqv13MxBfv9fm7z0+eeey73Ip8/f34kpp61Y9lzkT0ILdHKfIBtHyU8NW+7WMjXfhz+ndtWyTsRweHhYc4jk/0sfI5c9nfMD8WuYKxWq7mlxDwLpQ5RSjYXhS+fNVZCCcwDIVJMH5x2Rt75pwwhEyPcdGmszgD4pgBD9/rKZeVop94qlQo6nU5OwfBUJHcIlYvdZJkI7HQ6uQ5y7ZpdI5b31NPOpXnpJhpWDttBms3myOxLqL15ByLumNyePHvApByz8rxZi803RkgybHvrrIOuBuX6+ab/bBuNU+4ssDJKYF6VLsOYT5IPnxu3nHHkGGe4XZR20vqPi7L19Xlojpu3niua1Rmn/UJyTiJb2XSx92meSMRgQsIJx8qMBGZNnExKVoXm52Pz/rPQ4JNOafE8eREpNk572K8rf2nnNaKY9D0I3cfD8NCwvKz8ofvn7TE4T6yEEnDOjbilWkz6glkykO3SRqOBtbW1rLGbzWbOxmUPOXZe0aW0mi8vyQ05u7AcWl6sLPubr+3v72e2Z7/fz9m1Gl3IQgknEcktpWYb2JKdwCjhxvyDtqWSXEyMWiLQEoPqPWgjCdljbgMmeH0r7kKdj52W1ItU5Y4pNuvQ4yu30+mMvMNaR+VubF5MMnI5i8TKKIF5sKHcgeyxXXarx7o8lB8S56WMvCXkmA1nQs92Lh8ZGBtZ2K88d+qDg4Ns95pKpTIywxEjxngDEa6nDSbK8nL72E1VG41Gjg2vVqu58GJWLl2/oM+/2+1mm5tquTZvblt2X9br2pG4s1nX3m63W9ozUe/X/HilH6+XAPKxH3jj1FB8wmVMJSZOICHhhGMlRgLA4jkB31QgT/P48uO8mUOYxHQpY/fHrsU4gbJ5x0YgehyrI5s8RTLY9rftx/99X2d+ZuM4OI2LUN5lhu3jzuosy6FoJZRAEScwCfQB6NCRbVoezjUajcyRhh1BgNGwXprON7T32fh2MUmssxWBzQy1TUUkFzREbXNr8lg5OBIO739XqVRydjzvicj7OLZarYwnqNfrufQcZMTOz+vKR3tsHY+YY/E9m5CpErO9y4BtdVs2vz8ieSen0LZrCo4MrUpAn8uJIwbZVpsVnHNZYx8cHOReeiafNDa+dmLu9DZEVK/Xw5UrV3KONvyQ7YvJ4c45XYiU8ikU3sFXbWp9Ca2T0sbGRi68mPUg1OWq1hPPdjbdMEPLsja9jzg9ffp01kY2nJqPY7GbsO7u7uLq1asjtr1tB7thKb8nrVZrJLKQdiIu18c7hVb4+ex2+yE5ODjIORopT6Ttpc9J3w32/LQKttfrZfspdLtd1Ov1ufSHEAo5ARG5XUT+rYj8iYh8TUR+Ynj+nIh8SkS+Mfx/dnheROTXROSbIvKgiLxs3pVISFgFzGqadFxMO2ooQwx2AfwD59xLALwSwDtE5CUA7gPwaefciwF8engMAK/HIKzYizGIJvzeqSRMSEiIIsaZlEGhEnDOPemc+9Lw9w4GOwzdCuAeAPcPk90P4AeGv+8B8CE3wGcAnBGRW8aSaoYoInD4+rjafF5OMwkJk2Lcd3AsTkBE7gTwvQA+C+Cic05jSD0F4OLw960Avm1ue3x47klzDmL2HbD72s0STBLFYIkwtUNDUCcTtjF5vt/CLlQqQwyW8SC0XIQ6C1lisNFojEQAUs5Aoxjb+fR2u53lr9eL6qOwHEulUskRvRxH367eOzw8HHFCsryHPhMm6Rg+spA5gVAaH3jWgqMAF+03aR2iLEdi0ysqlUqOb7AL2RaB0kpARE5hED/wJ51z28TIOhEZS2pn9h24+eab3awrLiLe3YFDUzw2LmC9XsdLX/rSLB2Q3wSk2+3i6aefzvI/PDzMXno9DjmH+JhiRqwduDNar79ut4vt7e2sHGXtFdZph73nNPS3fRH39/ez8oqckLRcll87olUKVgnozIGW02g0sLW1NbKXgA1XZuEb6dk24rBoZaHPzMYg3N/fz4VKtx8B3cxG0Wq1MoeparUa/aj0+/3MUU13ZV4kSikBEaljoAA+7Jz77eHpSyJyi3PuyeFw/+nh+ScA3G5uv214rkw55aSeArEy7DVeh+6b8vHNZTPbX+aLblF2TtmmZeUG+KfS7L2+L7xvSkyv824+7JsQmue3014K3tGXXZB5SjEG6yfhaw9OO+k7xrMNPsVjnzvvO1BUn9AU8iJQZnZAAHwAwEPOuV82lx4A8Nbh77cC+B1z/oeGswSvBHDNmA0JCQkrhjIjge8H8IMA/lhEvjI89y4AvwDgYyLydgCPYbAxKQB8EsAbAHwTwD6AH56pxAkJCTNFmX0H/ghAaHzyWk96B+AdU8o1NdhWZOJGbWk7fFYbudfrjUTS4bybzWa28MOSir5hs7Ufi2xYTuNbcRibzbDX7F57QN7hSVf22eGtJaeYM2CZuT3tdY6rz8Rgr9fLLb6yRKBuEmO3IYuV6zO7Qr+1bCuXTecjAu3mpr6w7AolAi2vpGSg7xly+6j5pt6U7Dw1TxNhJTwG5wX7MupSYbUX2U2Z3UB1w0xg8AB4E4/19fXspbEvi77g9uXc29vLEVtFnTi0jFbrZBFbltztdrG/v58dV6vVjOCr1Wq5DVmBAcPPswUKm4/eb6H2sMrPsxKskLWD6G+tZ7Va9RK6Cruy0QdWAKyceBMQm9a66+oOTVYJ2NWNbONzXMn19fWMGPTJazu5bWt1o16kx+ANrQTsC8DbWTFL7/t6+64p7A7Hmp/+t8FEy5JRZQjLIpLRpzD4ixOqf9HXytepfVOdel/sS2anNn2BWjkOAk+9xlx9fb/tuVgaJjgtockxGVXR2/bkwLZ2hMPvV2jkpApwkYFG01LihIQTjht2JCAiuT3k2SkndKxfHR6OhjSzb3hfr9ezoaHO/Vobl23+mNOK5hG7ZvOzXx4e0bBNa4f0GmnJfpF8tnfo2J63UY31HNvPHJDFys12PzvWxMq2Zh2PhKy/hh7btNYM0bbS9uP2ZTmUA7Bmjb0vto1br9fLFnOp/LP0mSnCyiiBWRMf/DKxDcdztzbij75MNi9+eUJ2faVSQavVynmI2WG4KoQYL8BD4RD0JbbDZXaysav9LFmlNqxdNciOR/v7+9kxcyg83Lf2tN0LQY+5rdl8ss/JbioqIrnVeawgGEdHRznHLfZPYFtbZdZrNsLR3t5elpe+T3bDVvuctra2cPr06Uw266TV7/exu7ubK9M+l16vh52dnUxp2/0gFoEbVgkAfu88duqx5yclnLQsvWbDjTnncvsQWPLN5hf76sZgbVhrL/MIARj9Mlo5NfaA/eLxmndbJitFlp9HAryrM8d+ZK6ClURRTH47wrJ7FcTqb8E2v7L0NsyZjW/IYeJCIwEFjwRs++mIw44EFonECSQknHAkJZCQcMKxEuZAbNpn2nwZdvhs/4fSKZgYDJkVvnJ94cV8JsEswQSklmGdg2Lchj4Ta+dbU4F5Cx/ZqWljppcv+vIkpqHPActntpUhWYvS3WhYCSVQqVRGQlLPAr6XwF6LxYhju+zq1avZ72q1inPnzmWhrW1ebMNqXjpbcPny5ZwSYMa+zCpDK3PI10HLtQTe3t5erl71ej3H0lsCrtvtjnAEFr7ZEuUGuC19HTSkBHyKiZ2vLHZ3d0e8ALVNut0udnZ2gu1hZ0/a7TZ2d3dHiEDr9be2tpYLq27bZHNzM+dQVqlUstWA7IHqnMsRhb1eLyNhlZeYxwa9IayEEgDCsd4mhb5MRY42FrGpOv6i8osbcoZxzuXY8aJVYrbTFTkH+RyRYvXlLx13tiJnqli5LANPkXFZoak2IL8C0jdKiJG0XO9YoFFbjs4k2CXfvtWNoREg7zZty2MPyNCqSt/obBFYGSWQcLJQpLxi10MKqIwCjcF3T5GpFzuepjPPY7YshEQMJiSccCQlkJBwwrES5oBvD71ZQYdVOzs7OVKoXq/nHFjUQ846f1iwPWltN0uw6TVbvt3sVOPKa5q9vb0s5rzea8vycSUxrsByEZy23+9nnmoaI1HTr6+v49SpUzlb3rYBl8mrCMdh4WOzQSFGX8/ZtgJGw3zpfgp6zXrmqTOOvVcJOuVu1NOxUqnk9mFQhyc9bjabI5yJldPKxYSkfQ56bL1IF80LrIQSAObjNsx52oaNbRYyjjz6QvOUWagjs3uueqEVBdIsI4dvGs5HugHXl6yqbBpbIDZVF2s/e73oJR73WVsegF2urbuysv3qlckzL/xcdLmw1sd6BGqcA6sE2L3ZpwT0uiUZ2VNR1wr45DrRxOC8iJCifEPXxyV4QsSWj+gKub2Gyiqa4fDlHSLYxsU4MxFlZjRCx8vArInAUBlF78+yfRJk2QIAgIg8A2APwLNFaVcY53G85QeOfx2Ou/zAfOtwh3PuAp9cCSUAACLyBefcy5ctx6Q47vIDx78Ox11+YDl1SLMDCQknHEkJJCSccKySEnjfsgWYEsddfuD41+G4yw8soQ4rwwkkJCQsB6s0EkhISFgCkhJISDjhWLoSEJHXicjDIvJNEblv2fKUhYg8KiJ/LCJfEZEvDM+dE5FPicg3hv/PLltOCxH5oIg8LSJfNee8MssAvzZ8Lg+KyMuWJ3kmq0/+d4vIE8Pn8BUReYO59tND+R8Wkf90OVJfh4jcLiL/VkT+RES+JiI/MTy/3Gdg1zAv+g9AFcAjAF4EoAHgPwB4yTJlGkP2RwGcp3O/COC+4e/7APzPy5aT5Hs1gJcB+GqRzBjsJ/mvAAiAVwL47IrK/24A/9CT9iXD96kJ4IXD96y6ZPlvAfCy4e9NAH86lHOpz2DZI4FXAPimc+5bzrk2gI8CuGfJMk2DewDcP/x9P4AfWKIsI3DO/QGAy3Q6JPM9AD7kBvgMgDMy2IJ+aQjIH8I9AD7qnDtyzv0ZBhvkvmJuwpWAc+5J59yXhr93ADwE4FYs+RksWwncCuDb5vjx4bnjAAfg90XkiyJy7/DcRXd9G/anAFxcjmhjISTzcXo27xwOlz9oTLCVll9E7gTwvQA+iyU/g2UrgeOMVznnXgbg9QDeISKvthfdYDx3rOZfj6PMAN4L4LsA3A3gSQDvWa44xRCRUwA+DuAnnXPb9toynsGylcATAG43x7cNz608nHNPDP8/DeATGAw1L+lwbfj/6eVJWBohmY/Fs3HOXXLO9ZxzfQDvx/Uh/0rKLyJ1DBTAh51zvz08vdRnsGwl8HkALxaRF4pIA8CbATywZJkKISIbIrKpvwH8LQBfxUD2tw6TvRXA7yxHwrEQkvkBAD80ZKhfCeCaGbKuDMhGfiMGzwEYyP9mEWmKyAsBvBjA5xYtn4UM1h1/AMBDzrlfNpeW+wyWyZYaBvRPMWBvf2bZ8pSU+UUYMM//AcDXVG4ANwH4NIBvAPg3AM4tW1aS+yMYDJk7GNiXbw/JjAEj/X8Mn8sfA3j5isr/G0P5Hhx2mltM+p8Zyv8wgNevgPyvwmCo/yCArwz/3rDsZ5DchhMSTjiWbQ4kJCQsGUkJJCSccCQlkJBwwpGUQELCCUdSAgkJJxxJCSQknHAkJZCQcMLx/wPKJ5ns7JZPgAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 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",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 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",
          "data": {
            "image/png": 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K58DEIBGtAPgUgB91zu0B+CCAVwB4EOOZwgc8wk3PHbBO1cnCQZejLMgZQd61Nciz7s2qS//jL7j0j9BpVp5ZZciC1Z6h7TEP5n1/WeZg1nvSaUct12Ejq3z9Xo58dYCIyhgrgI86535tIuBV59zQOTcC8CGMjyQ70YgcQ8S8OGqFcBiY2xyg8cj4MICnnXM/L9LPT/gCAHgTgKfyyhqNRtP4/dq2LRaLqXDiVhz2brebcAJiG9hyytG7/PR0t1qt4s4770y8wGKxiAsXLqS2BPv8GnR5cpfg0tJSyhzQW5ABO3qPFfGI69XPOQ/YFMozHXyzhax8PDX1mWizrtdb9n6IGTRrHbOQ0tb98v955NBmlDaHs2QNmakdhBP4HgDfD+APiOjLk7SfAPBWInoQgAPwPIAfyivIufFhGb5BpR1r+DwB6UHV7/cTJKBzY7dh3eG0vW81UK1Ww9bWViKtWCzivvvum97Ltri+3+IcNBHILr16apo3kIkodZYd12mVJcuzlJPVaTSnYcUYtGB1Pt1R+Z1ogtKK6WDJGjKQ8pSCVbYvnwXdZj5b3yK4QxWBFQNjf39/2pf39/enBHdendZhtRoHWR34PQBW6XOfNeCcveUx7wWFkl6MEKLImpGwB59M0wy8VZbeXuzbShzS0a020ml5X6VZypr1fXD+g06DfX0h6zlD3/mssoW8E+t61neSRe5ZiidE1pCZSPQYjIg45YhKICLilGMhNhAxWWcdaMnX2hFI+gBoolCWa3EMkiewQjJbO+6sLcK+Z5FTNblUo6Hz6TSrbJknrlpEHAYWQgmUSiXceeedWF5exubmZup3TYD0ej3cvHlzSgQOBgM0m83UIZlra2upwby7u4v9/f3pQLr77rtx/vz5xIA6c+YMHnroocR9ROT1BsyDZsT1QaaAHTdBKzGLDQdsrzkdCo1XH2T5eXEGOI9uQ+ecGftQPheTvdoTUG/5BtKHaVoyMUdgtZuElce3447bkts1ZNXCOZfwwGNZdftbjmo6zce3WB6VcqWLCW9dVsiBMBYWQgloJxSJgxJMWV9sXT93NKvhrAE6iwwh5KYvXc4A9EqAjxTVssrlpVnlDZVfymKx5panmyVTFkGsn92SVYNXmGSekPfnI+BC2sdH5uUtg1p5WEFlxRNgOSxZ87AQSmBREDLIfeyrDyfBWcRClumxaM8UImtW2jzPk9UPjrN9QvutRCQGIyJOOU70TGBWXwD5Wxa5dlyEW4gss8gW+sWbxyMutKyQskPkPSz/g3kwyzOE3pf1PPO07UH67EIoASau5Gm4WWBiRq4O6INAiMaeeposWVtbS3in3XXXXbh48WKiEev1ehDJYrn1WkFFNWY5qFP+7+MqLGJQl2MRXyFKxyKqfLJanIAvX1YdPu4j6+BU/tuyk312vfV3HkI4DV+a/t1HYobGGDwsLIwS4OVB3wDSrLbuOPIoboZ19LZm2M+cOYOtra1EvdZ9Wg5m4PWSprXMqRWDFbhTEj8MvWeCywohBvX/w+EwyJtME6O+8n0DWdYZekCGfnZJ0Or20GlSEVuKQrP5snx5grJPERzWYLPaYzgcpjxOLTftbreLXq83VeK8UmCtFM0zI4icQETEKcdCzARCkPU1ytJ+ecsosy71HUZZIUtuoTIcBkJsy8PkBPLkyOIEIg4fC6MErKk1Q9uy2lnCCvUF2B2HTxbm33iHX56tD8A8bdiKLGTJkTeF95lB82wRtpbMDjKI5hnYsyo5PV0H5t9co+GLTBUi40EUdsg6fiifoPmW0Drz0oEFUQIcusu3NbfX6yUeotvtTv8B40Fbr9exvLw8zeOcQ7fbTdlNGxsbWFlZmQ6uzc3NVCx/vVsQGL/AtbW1xKC0lIB2OWY7T8rR7XZTis3XeUMOJPUhZFXAsofzHLZ8ZKGM88jXOmyYz/7WbuHWAPI5AklY3pjWM1ihz3RZrMw1rxHqLGRdy2ewwqoNBoOU5yvzAfP0hRN5+EjEYmAWE+swy86rM4ssnHUlI69sS16LTJ0FWjGHzFBC5M0z47LkPbASIKLnATQADAEMnHMPE9FZAJ8AcB/GgUXe7IxgoxEREcePw1od+EvOuQedcw9Prt8L4Ann3AMAnphcR0RELCCOyhx4FMDrJn8/DuDfAPi7vsxZRA3bW9p+s6ZI1lZiPQ2qVCpYWlqapjMPof0QLEJOrtH7SB7LzuN1Xb7HCnvmm7bO4+Cj07KmuRYfkHdv1tRTTnNDSLssaLs7ZOXCZ6+HTLF9eWYlFUPa1ZI9Sw4rr4XjIgYdgN8iIgfgnzjnHgOw5W4FG30RwJa+icS5A/V6HYPBIHGcNkPvoALSHndMqOg4dRbBt7m5iXPnzk3rWVlZMVcH5GnAE3lN+RIN4VyKxHTOodPpJGSzHD18L0kPSO0QxfJanot5g9laydBbmi3CzCerJjL1dtdQRt6qQzr3SPgCr+qyrO25moy08ui+ptPkdmQJHVJOE6LWx43Ls7Y067bzKRSL1M3jLw5DCbzGOXeZiO4E8Fki+iMlhJsoCC3cYwAeA4Bz585Nf/c9XJbWztLOViRheWIPM/x6JmAtV8oZgq8zW51L76EPdRvWsw/AHzjS+vLolQufosjyGLQGn49x1jMBi4G3ZA2FtdSq69flZ80apcKylIA1Y7NOv7YGnqU4tXL1yeVzG9ZtkXVt1e3DgTkB59zlyf/XAPw6xucMXCWi8xPhzgO4dtB6IiIijgYHPXykTuPDSEFEdQB/BeNzBj4N4O2TbG8H8BsHqSciIuLocFBzYAvAr0+mGiUA/8w59y+J6AsAPklE7wTwAoA3hxaYZ9taeThNp2dt5uG8PhLQJ5ee7mpHEnlQKufb399POIBY5oAF64wEy6HKZy/q6fFB1/dDEGLm5JFX88p5EK/I04wDKQHn3DcA/AUj/QaA189aHp/qKzEajcwDMbQdq0nAQqGAjY2NFMG3srKCarU6Hfi8hVnC58I8GAym9Q6HQzQajQTh1+/3sbOzg2azmZB/Z2cHrVZrKmu/30/ZeNbKQ6VSwfr6ekJhXbx4MXXf+vp64hlYKfiUgWw3ixPQh5aEui7rU3KsHXGWN2C/3094+vn4C60AnXOp9+RTOlkEHMvqOxTFIgylrBYf5TsMVys6i9uySGOZbvEJWSsnesVEY2E8BvnFa/Z7OBymlIDv9B6tBOr1euoUX94rwB2b3XzziEH9cvr9PhqNRuLUo/39fbz44ovY3t5OyH/9+vWEYpDbQhm8jVrKsbS0hLvuumuaViwWcfbs2ZSs8vjyWZFHDMqBlvellh1TR4Tm3y32W8+efKsW1iwo73l80GRbr9dLuetyv7MIQ7kq4FMCWQpwluVHnT7P7CoLC6MEIhYfh2FWzHJv6Fp7SB49g9D7+LNmPNZSa94qxUHMIivfQdv8SFcHIiIiTjYWZibAh49YDiHlcjnlLCTz8vRRTiGLxSKWl5dTU+VqtZqY/nO9EvqAEmCsTW/cuDGVo9fr4U/+5E9S9r92DHLOYWVlBbVabZrGZyRI7d5qtaa8gXxuySWUSiVsbm6mHJtqtVoqbj/vymRYXwL++kk59Duw2sJXnobPe1Lb3jqfZRqFRJwCYDpT+XxPdBhyS36f/4BMKxaLqS91aJjzkFmEzps1K5jHLFgIJcA2vS8+X6lUSjW6zMs2vFYC7BgkwXEHpJ1tkYAWGbS9vZ04GfbSpUvY3d1NPIfeSkxEWF5eNm1c+WJ2d3exs7OTelkvvfRSoh0uXLgwLZfTNjc3TTJPb2nW4IGQNe22iKWQKTffq5VAr9dL8CgWOF6kfCbLSYoJYQnrZGufbFr5+ULKyb7ASpHTfEe5a8Wgp+RZTnEWiRlqXuhyT9RWYoup1r/Ja/m/Tpf3WHaeVU/Il00SXcwmy6+aj1Dkr7jMZ8W9s9yhJXgJUss6ixtySJ689smzMX3l+zq5z/YOUTQ6zfchyZKfOQHfSdQWKS0/QL4YhiFLzYuAyAlERJxyRCUQEXHKsTDmAMOahmriiO1YzQlou9iy83SatdGDCSwJvZOLbX1NaNVqtZSDkia5KpVKaurPXILefCTlICJ0Op1EO3E4KrnGrcvJQ97U1JrWW+aHDoFlvbfBYGCGUZdTat8auhU2nSGduKznySPlQpfheJqflTdPxrx8t9tUWCglYNnwzqVj1Y1GowTxVS6XUS6XE15zPCA1Mbi0tJRg6i37cTAYYG9vL5GmWeJisYitrS2cPXt2mlYqlbCyspKoczQaodFoTAcvQzsx7e3t4ebNm4nn7PV6CTmKxSIuXbqUUijnz59P3McxE9bW1qZpPvvUso81LKJKk3vOjU8q5t2S1nOPRiO0Wq3EigqAqeKUnpKasOx2u6nVE0veWq1m7nrUxKbmAHxxJavVaupe2Rd6vR7K5XJKDmvAyzo1aWrdIyFXGywewqeYQrZaL5QSYOSRThbx4rsOJQY1rI6vy7GIJK2M2O1ZM92+ffxZe/f5S6qJKmv7skXehZB5Gj4W2iIttcegVpy+JTeL/bbq9LnTSljkqpXP6hchbaa3X/P1rF/ved7FUWHhlMAiNU5EBJC/IqGvpcnoS8vKEyrHYY2Vb3licJGWYiIiFhHf8kogziwiIrKxEOaAtIVlGC7gloOOJgZDpk6VSiVBAnJ6XpBP51ziIBPG6upqqiztWSftf7ZFV1dXE0TajRs30Gq1EvXed999WFtbS9i9g8EgRYZZB6AWCoVEuzF5pWXVsNJ4Rx//1u/3sb+/n+ImNHHqnMPu7u50lWI0GmF3dxftdjtxX7vdTqTxM8gdghx/QcrHMSQtgk/i2rVrKYcqzQlYxGC9Xk+8XyLC0tISlpeXE3VowtLnMcj1+tIsc8C6znoG63qeme/cSoCI/gzGZwsw7gfw9wFsAPjbAK5P0n/COfeZgPIyXSnngRWQhMuUg9dSAhZxJAk/IjvAB98v/9anzzabzdQ+9Xq9bgYp0asIegBxR846wWeW2ZC+t9/vm4pZb7vlfROcdzgcotPppJRAp9NJrZTo7eIck1HKYZ3MAyAVR+G5555Lle8jBvmdEBHW19exubmZyHPHHXdgc3MztQdDyspKIG9J1pIhj9zOQl6/mwVzKwHn3DMAHpwIVARwGeMYgz8A4Beccz83b9nzIvRrlwWfhvaVNyshNKu8WURSHo6KSDoqzLt6kUWu+T4ivhWEUKIupB+EYN77DnqvxGGZA68H8Jxz7oWDdjTfw8zjnBFSj/5/3nIOijwnlHmWoXyMtC9fVlre9az5QnCY78SaGYUy9Fn3Wsjqj4dJVIeaIHk4LCXwFgAfE9fvIaK3AfgigB9zOUeQFQoFrK6uolwup7zJOEKLtON5es3OHbydVtr/vm3J7MWWpzise3UI7xCwGSHvXVtbS9mRfNaBTLOm3exByPkKhQLOnj2b8FJk70PZZqEzG72uPhgMvOaAvJcdiCQn0O12E/daDjKWDPv7+9jb20u8p2q1irW1NZODkbDeG4cJk/WxTwdfd7vdlKnVarVSW8/L5TJqtdr02teXrOhXIX3mILPZ224OMIioAuA/A/C+SdIHAfxDAG7y/wcA/KBx3/TwkY2NDayurpqkHbuZaiVARAmPwWq1miDzfGcH6MMifM5DvnMH8r4alp2nyUlWehKdTic14IfDYWoAWuUvLy+nti/XarWU67N+Rm5HPZjlc+3v76fISZ9H5fb29pQAHY1GaDabKc9Ci8zThOq1a9fwjW98I/Hsr3zlK/HQQw8llJ0163jyyScT8g6HQ1y7di0R8o3bTHpU7u7u4tq1a4m2uHLlClZXVxN94ezZs7h48eJUgTjnUjEqnXOJOJacJtvCUmLOjUO5WXE2pYcgO1xpk2ZeHMYS4RsBPOmcuzoR5qpzbuicGwH4EMbnEKTgnHvMOfewc+5hTX5FRETcPhyGEngrhClAk0NHJngTxucQRERELCgOZA7Q+MCRvwzgh0TyzxLRgxibA8+r33Jx2B5+R1XeojPtiwTLJz9icXDQcwdaADZV2vcfSKJASFtWHyjCabOUlXVtwVpVYAY/737fvZYDiJbLtyHKkj/LuUT/LtMkMaivZdos9+X5Lci8/Jx6a7gF66xDCYvz8UPQ7awAACAASURBVLVZiJ+Kc/Z5gSFlWTIex+qJxsJ4DDKxZe0ws7ZNyuCatVoNy8vLCccaa7slkG44awupD1bQzNAOIjuFFQ4MQGp1wDmXkk2TjMCtmHx58oZ0QE068RZemZeZf12WdARiIkySYexgpWUdjcaHtvJAX1lZwT333JPYEbi5uWmGbms0Golrji0py15eXk6QjByIVeaz4lEWi8XUmQiNRgPXr19PHGh77ty51KC3yEIrDJnOw+0kYX0gfP4P83zQFkIJhCDEAUdr+3nLnwWWEshbv816eZqp119AywtSb1X2fbl1vZYiso6Bt07mtcqSCpCXYnXEXWumxO0mn2dpaSmRxvEG9L06srNeFeIPjPb21EfUcbAZ3wqKrK/dbk/v5VUA3f7646Kf2zeIWb6sa75/FmT172/5DUQRERHZiEog4kThsIneiAUyB4rFYibZkuemGepplUWkhdbHv1vTbutea+qs0+b1JpOyhMhrpVv58ohBX3QgXxvovJYM/L+1KUfHIOT/pa3M03w5DR+NRqhUKqlNQPp8CIsbyjLb8tojD6EehFmwyFZfv8p6HwuhBAqFwpTo066bgP0AmjnWIbusFQMr3crjazDNRFsn7OSdRuurwxcv3yL8suSS0PyCtYVay6EDgVoHdfIOQS2Dds+15Od8uk6503J1dRXr6+uJPPV63QwdJj33AODuu++eysvPt76+nvJ61FuAeTuzJZeskw8V4TYfDAbodDomd6O9ATUPwRyGvg5dXdJp83IHC6EEWDOHfqU5XR8AoQkha0lNKwH9v/66MPSAsVw3eaBZiiHvZbDsmtwM7RRW/IA8JWApJz2Q5X4AxmAwSClrHtysQLgdNTlm7UXo9XoJ+c+ePYvNzc3EvdZ9wJiFl+/u277t21KKQm5x5jTZHr7ZC2+FlulWfIVGo2ESgzqN3dtl+0hwX7GWgTVCFUGIEoicQETEKcdCzAQkfNPmw1oSCbXbffXlrdWG2t4+aDtvnnVfXVZeGx5E3oiTj4VQAtKW9oWV1oPDCuGteQLfNEpvsdVTcN+gsKb5OqJPyLp6FuGk69S7A7WNLT3ishRoaKhvlp/T9TWnWWVxCDDfc/rk6PV6aLVaCWchbSIACHLqsqL81Gq11L1WOHTrHAAZ759lJboVvq1QKKR4EM5nvXNpfoaGw9dhzrM+BPMo74VQAoBNwgB+Uk0Oev7b4gQ0dEx+vZ3WR7Jpu9sa8DwQLAIxTwnw/VJm7bzC3ImG9ZyDwWBaD3f4EKcfJgY5nQ9d1UrA4hc0iWjJZSmQdrudeNZ6vY56vZ541nK5bMZ91HECLEUh9/8z9EoGHzArwWHOpLz7+/toNBrTtOFwiGazmWpHXRb3A5aP6wxxDdek8UE8CC0sjBKI8CPEJLA8KudFqGkUUk6IXJoQ08uNEpps0+VbbWMx9Vn/MyzydzAYJGYbPiXvWwbN2sPA8uctbc9jEkaPwYiICC+iEoiIOOVYeHOAbR9rI4qcks1apoTFA1hlaltf57GInRCPLcDewMJxByWs3WkhKxIWqSjz8P9WbLxQyGf3kYAWNMnKYc6z3nlW/XltzcSebp8Q6HdsOXhZ5QNJMtJnRsxr12fJm4eFUwI+Mk93CEmg+F66b4lNO9HMqwQshMQxsFYu2LVVKwG5vZWIUkrBOZc6w4CdcrTbrSYVra3WfAZAiC1pPZc8B0EHGmViU8vBpCLX1W630Wg0Uu6/+iAQC3l8iYR+ditoqW4jdi+Wg9lqR/1OOE16Y1qOZT4lME+Q21AEKQEi+giAvwbgmnPuOydpZzE+fOQ+jCMIvdk5d5PGEv4igEcAtAG8wzn3ZF4d83Q6635DdvPa94WeZS3dhzyyypox8ACSabz0qfPp8i2mXstuKUSr0x1kJiDz8xdZL8fq52E55MqIddoQK7WsQe7rQxYBp+sPuU+mSW9V3/NkrRJlzQQOkxiU9/sQygn8MoA3qLT3AnjCOfcAgCcm18A48OgDk3/vwjj6cERExIIiSAk4534XwLZKfhTA45O/HwfwN0T6r7gxPgdgg5LBRyMiIhYIB+EEtpxzVyZ/vwhga/L3PQC+KfJdmqRdEWkgce7AmTNnzEg0QDbxJcoyYwz6pkBZ010fsWSl+6aLFuFk3Zslly/Nagtr6pnXZpasB83HdUecLBwKMeicc0Q009t3zj0G4DEAuHDhguM4dvoEIh22CrhlP+vDR2T8PfYes9xsJbS7MeexBqS23zT5wx6D1gEqOnyWLt9aHdDbo51zaDabKZlarZZ5so9k/CuVSmplwdq+zKcG873lcjnlAjscDs0DMkajUeKEJN0WzJrncRi9Xg/NZjPlGLS0tJTaLq63HFseg5aHI8vD//vcvfW742tuD84Toph9yjoEcmXEGhOcx/eMWfUcRAlcJaLzzrkrk+n+tUn6ZQD3inwXJmleWOSW/C2P9NNkjUzLIwZlXgk9OCzvNN9RZVpZ+JSKJYM1S+EvMQ8iCR5UWnnq1RPdPoB9VBvvq+d6WBHlzWRYRs5nLZGxLHlgZSplY3fmPGXqO3puHmSRd5Lgs/qoTgshoLNI6SwZ8p4hj0g8iLPQpwG8ffL32wH8hkh/G43xagC7wmyIOEZIRROigDQj7bv2KbnDhG+ghcjqw1HJvWgmUZ48oUuEHwPwOgB3ENElAP8AwM8A+CQRvRPACwDePMn+GYyXB5/FeInwB+YRPCIi4vYgSAk4597q+en1Rl4H4N2zCDEajdBqtczDGNm2txxf5KnEOmacb01aE4YWb1AsFqf8gkXycXqn00lMw611bOsLZn19eAqs67BCceny9XMSjZ2KZFta3IfmHIBb3AS3N7etbgfL4Ue+A55G611+LLNErVbD0tLS9Pfl5eWUY1CtVjN9GPROPMt0sabT2qbW26A5zYoeJe+1NhnJe7Ucui00fNN8yQlY5XGZPvM3CwvhMZjFCQBpO1vvr+ZrixPQ8E17dX3Wll1ZPg9aCWsgh05NtcMMQ3uUWR1BDw5WYtLb0OqoPk5AKhUfJ2ApAalQmSOw4hrqZyCi6SAHgKWlpZQS4Pj+eUpAt7VlP7NcctCzq7KEjyyUW7CzlIAVn8DifPKguQkf3+JzYc7DQigBCZ/QIctnoctuIffOe59Ok3brPGBiJ2S5T1/LL29W/bO2bZZSm/c5tU0fKtdhYBaW3rp3lvJ8s6HDwjzvJe4ijIg45YhKICLilGOhzAHLhmQ7WU5n2MlFbuLQxNdBOIGQe7OIHesZ8nYgst2tySNZn+WbYNnYQDq8lW96r00FtjflLjktl8VdcBx/JgaZ0A15J9Lmlc9pvfNQsyQEIWv3vvRZ1/19ZsCs/gJ58JHQR+UsdOjQbDKnWcSXZKLL5XLKI45XB/K8Aa1rHY6K0zWsTjkYDBJx9lgpyJdgeZj5uANdvnUqsfZcHA6HuHbt2tS7kIimjLuEtX1ZnzvQ7XbR6XRSSkCfoAwA99xzz/Te4XCIWq2WkNe59EnFwNhL8aWXXkoEGl1ZWUmQj7VaDSsrK6n20CcJ67bg92k5cMnr4XCYOl+BYwzKe3u9XqI9+IBS3RZ5TkaWrHyfTmN3et8HIgshjlILpQSycJKIwcNGVh0HJR4PghAC1MozT/lWmp6VWTKEtk8WwZc1mEOJQauckPuyZNXPFOIdaCFyArcZi+ZNFhERlcBtxnF8sSMisrAw5kDW9CorHTic9eQQwsZar8+z+0LL99VnTfmssvX5B9K2zAvDZj2DLsvyuMuSi21xTe6FmDa+vhBqHujfD6p4895n6Du30g5CDIYQj1nlMRZCCTjnprvGrOOhrc6gtxJrDznOpxHSKTjmnSWn9NpqNpuJfBxXT3v5yYM6AZvoqVarqFarCdksjz5Nqg2HQ1y+fDlxSvBwOESr1ZqmlUol3HHHHebKhmb69Vbi3d1dXL16NdXpd3d3U2Wtra1NiUBWEnKr72AwwPb2Nl566aXEM3BbMlh22WaVSsWMMaj7i1bUvkGhD6XNWrXQ7sUyCCpf63r4HcvBmadIfZhnVWAWLIQSmAf8pZF/WwdMZN0v8+prS+vqzqCP8bYGN3+lpWKw/MqBtH8/u+/Kjq3vGwwGaDQaaDQaCTk6nc6U7S6VSlhZWUktXXJ98tn1akCr1UKj0UjNDmR9wLg9NzY2EnsuisUiVldXp3k40Ka+t9frJZRbt9tFt9s1VySyjiKziDG5/CjLkkvMfJ+lCKyVHakErBOarBWhECWQRQzmzTxm6e8akROIiDjlWJiZQJY9nQfftD9Us4Zc+/KELAVZWl9PW7MclKz88ncrQlCpVJp++fWmIF22hVnbx7JJQxyzrDLz+CEfZrH9j4InyCrb1x8PwgmEIu9ZF0YJMEKnOZIT4E6uw1FZu614KiivrSmkVa+cTvPUXzvp6N1pzo0dZKQjSq1WS22ZZmcnyylKlmUN9rNnz6YcgeSzFwoFrK2tYWVlxZtH1iFjPVqnEjP3oUk/uXOOiFCpVBLy9vt91Gq11A5EvWXXiiyk7XiuQzt1Wc9kKT+tkHykpU/55mFeJWN9MDQ5O4s8IXLkKgGyzxz4XwD8dQA9AM8B+AHn3A4R3QfgaQDPTG7/nHPuh0MFDtWU/PK5M7EC0J3GOnWXG1l+ubQiyBocDB4cOo1tRFlWu91OEHdLS0uJrbOcxttlGYVCYUoWcttYxOndd9+dSCsUClheXk7Y51bb7uzspLzdOE6gtHmto8nb7Xaqzl6vN1VuhUIBq6urCU6g1+uh0WigXq8n7u31eok6fNt6NXHMHoP6XWoXbR03gT8EnMYKxjp8JHSFRnNKuiwtm6+vD4fD1LOzF6dUzKGKIOgwnIByfhnpMwc+C+A7nXN/HsDXALxP/Pacc+7Byb9gBRARETE/5OzGmukciBh0xpkDzrnfcs4xLf45jIOJRkREnEAcxurADwL4TXH9ciL690T0O0T0vb6biOhdRPRFIvqiXJKSU1eLYDvIemhEREQaByIGiegnAQwAfHSSdAXARefcDSJ6FYB/QUTf4Zzb0/c6ce7A1taWkzHbjLypNL2VOJTAyXIMkX9b4c7k7j8O9a2JwX6/n9pFqAm9Wq2Ger2ekEPv5pN16ufWDLwG57GITP3M+v5qtYrl5eWE/XnmzJkUb6CdlogoxVfonXls12oPRnb24muOjygJRN/qRmiYeU0CamchixjMIhC1o5H1TvJWEHy8gM9/YOFWB4joHRgThq93E+mcc10A3cnfXyKi5wC8EsAXs8rSjLRRV+pB9OqARd6EdAifPFZAT+nAwgy2dgLqdDqmI41cDdjY2MDm5maiA5fLZZNM0oMty1lG1iefwTmXOhGX00ulUqJzra6uJrYJr6+vJ7z+uJNqcg9IE6r7+/uJOtm5Sj/D6upqYsvxxsYGVlZWEvlqtZoZM8IKnqqhA9Vyf5PlW0FXs9LkQJcxGPMGft4SqdX3ePVEfiitj17WEnMW5lICRPQGAP8dgO9zzrVF+jkA2865IRHdj/GhpN+Yp45AOebOk+Ux6IPUxr71XWs/uO68zHLr03QsuawXHfqypayWXJai1BGfidIHngyHw9Ryo3MO7XY7tYdBKwHfMqdWiBzlWMqln1N/qfl59CqRTrM8Bi1fC18A26xAKb4ZKaflzRJ8swNfX9AI6e8aIUuE1pkD7wNQBfDZSeG8FPhaAD9FRH0AIwA/7JzTB5lGREQsEHKVgLPPHPiwJ++nAHzqoEJFRETcPiyExyDbaJYHGP8uwc4SefZXyG++6bU1ddZ2mXYM4mt94IYOfWaRXD5CSCOEIOIpq3RMYSJTwmpHbRr5iK8Q2ayNO0DabtflWe0j69Cy6WttHli80GEiawpv5c26Pg4sjBLo9/vT03Ot3yQKhULCayrrZYfYUZY81oCUu8UGgwHa7XaK/W42m4ltscViERsbG9jY2JimWQdpWDa7Ja9F7lkdSdrZzo23M+sYetJdl+vRcQc18SXr1df6YFRrR2WxWEydJKzt8dXVVTNIqXWQibbj5WGqnIf7lr7PWjGQ8DndWByA70Mlkbd1OEvBhxDa82IhlABg+/DL37KuGZpU02m+vPLaR/xp/21rJsDundptWB5rBtgkl6V4ZCeU9UpY98l7+R7r5GLrlBwefHr5VSssC5o4tbZMFwqFVLBUfSw7K0krsrI1a5HvTg9ui/SzIlhzm+nrWYhYWaelALOeJQtyOVKXcRhYGCUQERExGw5rZrAwSsC3DGKl6/BZ82jEvCWbPJuX/86awcjys2TwpR3V9C8iQmIhlABvTbUOAR2NRtjb20tMW5eXl9FqtRK7CNneZLCNGjK4Q0m6drud2F23vb2NVquVKKNQKCRs3lKphDNnzuDMmTPTNG23Av7DLy2fAy27xX10u92poxGHS9PcitU+bD/z8+ioOT459LSb29A6BMVqb8um1v4LOzs7iWl9qVTCxsZGKl8W0SnT9Y4+n1K2HI2kR6WPz8nqe7720dGqZB0+U5VxW52FjgJZDWl55ukX4XvZFnTekHv1y+dDRiTZxvauVGalUgmVSgXVanWaxg44eY5B2tkGsD3ifLJKj0HL/s+qU/IJFqz2suxx62RebevrAW8pnv39fbTb7ZRTkW5HrWSy3q2e1Vm/WwNZrxL5tp7nwbdi4/sY5JHcJ14JLAoOg2zJWrY6jHrzCNDQsg6yhJVHuM7ajnKw8uCziNOQ55ynLWaRc5488943K+bxGIwxBiMiTjmiEoiIOAQc9ozjdmIhzAG2HYkotWtuMBig2WymYvnLuH2VSsW0/Sz72Tc116SNtsU5TJgkBrvdbiIUVLlcRrlcTsT7KxaLGI1GifBiFiwSUBNHRJSSi/Ppa00E6jj4skwJbcdbdmvIbs8sT0yrPJlWLpdT75PDkktOgO1nTQz6ZMqDz/6XdeiVKckJ6D6UZ1pZpGMov+DzacjLZ2EhlABwqyPo+Gq8PVd2fo5nx53cOuWXG8XaGSbhI8csckbKwfHn5UBjj0cZV49JQBmTz+dNZi2F6vbQjjbWSgbv95f3Wvvl9U5GAKl4/6H2reY+LCcjVq76mXQ+67RkVmDy/VWrVfR6vUS+5eXlYCcg/btux8FgMI2xyGBnME5jwtX3Pq124rbQ/d05l6qP07Pk57QQl3sLC6MEfMjyHdCwWOFZCaysRsvT9JYcvllHyDP5FFTeqoK15GXNlCwCTj+nhax7dLuGknSaGPTlyVNQvjqz0rLeZZ4MlhzHQQL6vApDEDmBiIhTjqgEbjNOMoEU8a2JXCVARB8homtE9JRIez8RXSaiL0/+PSJ+ex8RPUtEzxDRXw0VxCJepJ1speX9y6vL91volCrLE03+Y8cdth/ltU7Pek5ZR0haREQIQjiBXwbwvwP4FZX+C865n5MJRPTtAN4C4DsA3A3gt4nolc65dNTO5H3TeG+aRWdiUJIlpVIpETOPD6vQhJNve6iEPIBC5tH5rK2n0guQ05rNZirQ6N7eXuK59CnFwK3DR2Qd9XodL3vZyxL5LPvTOiFIklxMTOqtxFbcQV2HtVJiyWHdJw9F5TRrS7Mui3cVStRqtYQnIzAmBq9evZpI29raStzL8uvVJe2Ga7nwcp/K81YlsgON6mfU7WORh4VCIeU+z/1xHgWft30ZCIss9LtEdF9gnY8C+LgbBxz9YyJ6FsB3A/j/Au8/dIQSg1mElr4vlDzkaz0oLddQDsCpGXFNwlmkXAisVQTLT13Lb8nqg1SevtUOyz3cqpPLk7LquAC8SiTzDYfD1B6SeYO1WO9OP9esA1PeZ9VnrWjxMvNREZAH4QTeQ0RfmZgLvDvmHgDfFHkuTdJSIHHugP4yLDL0IAx1C74diKbA8eEw+4Esy+prvnzz1j2vEvgggFcAeBDjswY+MGsBzrnHnHMPO+celtPgWWz7WW1lK913nw9ZSzGhLyIrX4i973sm39Jk3mwoK23WjjXvV/Ig3EfoO8+r77DqDHnOWXGUH5m5/AScc1f5byL6EID/Z3J5GcC9IuuFSVpouSl7cTQaoVqtJqZkpVIJ7XYbN2/enDaOjnHP06o8TsAHbZMWCgXU6/XpVJUdPfQBmZVKJTEdJSKcOXMmYedZnMCNGzews7OTeM69vT0899xziXz9fj/xDKVSCffff38iBHixWMTa2trUc3E4HKLRaCTCngFAo9HA/v5+olPKuPps129vb6c6vLafOa8+8ETzKJYC1CaHNYUvFoupZyciNJvNRJrOw+VZ0JyAbwuvNuUkx2CZPSybvtbP6HNa4r7iM1V9OxcthHAJ8547cN45d2Vy+SYAvHLwaQD/jIh+HmNi8AEAvx9arvXyOTyXtgWl51m32015DXIj+xog60sM2C7HlUolsZWY3ZVlmZrUKhQK2NzcxNra2jTN8grr9Xq4ceNG4vk5ZiHL5ZxLHWxSqVRw7733JmIzVioV3Hnnndja2gIw7rg3b97E3l7yICiOhyCfgbc9c/vcvHkT8pg4KYsEezdKcla/t9FoZCpmTcqxXa8VSK/XS8UK3NvbS+Sz8vi2qMt4AhY/wmnyft5CLt2GLc7EdyqxhCTEOY8+jh4Y9wMZJ4H7ft474TryPnzznjvwOiJ6EIAD8DyAH5oI8lUi+iSAP8T4eLJ3u5yVgYiIiOPFoZ47MMn/0wB++iBCRURE3D4s/N4BH3ykziz3M7RdljW1ykMI2ea7z2cjyr8tufRUk+1FOWXNI8kOA7KOrGc+ajkiZsPCKAHfMgdNdkfpQTsYDKbbjnlbsSQV+b7DZFV1eaVSKWEPEtH0HD3JLVSr1cTuPz4gUz7T2toazp496+UEADvcGBHh2rVrCZu6Wq2mbE3tuAMkzx2Q5cnnZLve4lsk+LATlo/PW5RyMG9gbSWWz82kruYEdPvrA0OPgkHXClavfBym4prVIcj3QZgVC6EE5LKbxeZbHlSyUxeLRezt7SUGDBGhWq2mCBrtXaeVj+/lOuewtLSUIGe63W7qUFE+VptRLBaxubmZCDRqMbu1Wg1bW1uJ9L29PXz961+f1j8cDvG1r30tJdcTTzyRKusVr3gFLl68OJVrfX09scWZ20KTVSsrK1heXp6+h263i1qtlhoIenVgNBqh2WxOictSqYQLFy7g3Llz0zz9fh+dTgc3btwAkHQV1+RkvV5PtG21WsXa2lpioJfL5US78r0h79x30IjMx0erS6XFJLT2YNWwvCw1WOFKWASiL3ajRTRq6Oe0sBBK4CTB+gp+KyLLX2CWNggxC6zlNT0rtE4I9i05WrKG+E1Y9+b5B/juC4GWK8uUCmnvrPeSdX/cRTgjToMCOCzEtjoZiEog4sgQib6TgYUxB3hqZNlIHHNOp+tQXzI+IR9aajmK6Klh6OqAJMiKxWKKGOQdYNJGZGIt76vITiKy3mq1OrXj2Q6UNjanS+cV59yUGOT2KRaLqfYBkHKEATAN68XT7kajYToL6d2emtzj9yPrtM4+4Dp12LBarZZIW1paQr1eTx0+IvkXiwz2rbpY72PeVQufOWL1WWkC+Va4fGlZq2G+OrNWlRgLowS0d5mE3rLLwUfZO63dbmNnZwcvvfRSorz19fXUvdxJsmxEi6V1ziU8BEejEer1eooE1MQgH0ii2XpNhtVqtZQcvL1Ydhx5ujGXs729nWL+mTzlv3u9Xsrb0PKSu3btWkIR7+/v4+bNm6m2kDETOU3Hy9vb20t5ArZardR7XltbS5B+GxsbWFtbS2zzXltbw1133ZXiBM6ePZtqM+0xaHk3WorZymftorSIOg1fvVwWK3VrF6dWzDLWBJcTujweMhtbGCUA+IMlanADyz3dHFOAwdsvffWEam8JfVS2DobJgUatr5O+V/7P8mqFJQOBslx6pWQ4HKJcLie+uLxXQH6trSCu1h4GPXvq9Xqpr741E+BOLdux0+mkTmjWbr3AeOBubGxM07US4LTz58+n+oeOwaC3Y/OMRCrh4XAYrAQsYlDOCC0yLkspyBmbtWfCUh6cT36AQk0tri8SgxEREV4sxExAOgRZGs5y+imXy1Mtyva//BqyvR5ic+npf6iW1Zth+Nr66ofYlVoOvSTmnDNnSnojE8+M8uqUXyUtC4MdcqyvoYZub5/Dj36GkLVs3+wt5F6WOSvN1/fmLdtKD11u9E31j2p5emGUAG8XtkKEraysJF42d3CePlcqFbRaLVy7dm2ah6fIFhGlB1rIdI47nCQGa7Vaqiztrcf3WV5n+jktOXWUHOvchFqtljowpNPpTJUik4eaN+CzCbQCkYO51+sleAlZp8b+/n7iOa0dg0B6arq0tJTaeanvLZVKKecvIkK9Xk8oT62IeODINB3hyJqac7qW13qfeX2Mr9vtdsKhjaMlZfk5cPmW2RCCEPN6YZQAf+2tr0StVkukl0ol7O/vTxuLt5lK4qtcLptfQ7bL5Bfa8hi0FIPPgUU+B59CpJ8v62sr28DXPny/5Z22urqaKI8PH2F7fDgcotlsTo9RZ7RaLdOVWPIE3W7XVDyS9+A0y43aah/NfWhYSqBYLKJSqaQUrDxshAeaHvD8m5RVKwFrS7A+40E+k25vDavftVqtBMnKMzbdRlY/0MpV9wPfDOHEKIGIiEVGlgdfyHTegvya5+X3/T6LZ2EkBiMiIryISiAi4pQjJLLQRwD8NQDXnHPfOUn7BIA/M8myAWDHOfcgEd0H4GkAz0x++5xz7ofz6igUClhaWvLujNIOFOwkIsmgVquV4ARKpRK++c1vpmzee++9F2tra1N70xevLc8uY4JI2uvMflurA/pei3Ow5NA2doiNx7a3fEYgHbuuUqmkiEF9wGav10t5Mvr8BIiSpybr2P5ENCUtJfTBqOx5KdPY70O3h45jaJFo+qwDDmfGnAn7ElihyS1GXz6XzxfFIig132K9b4s/4nTrb1+evLwScx0+4pz7L0UlHwCwGs2pngAAFMxJREFUK/I/55x7MKDcKaTjjXWKsH4R2gtvf38fzWYz0blKpVIqQCYA3HnnnYmB6rO38lhtn4uqjxH3lSNhOavo4KmadOT79CqFdjSynJH4VN+s1QFJDMoBreVgGaRzkI4dwANSrwCxl6UkejUJWCwWzSVITeb1+/1UgBXtMj0ajRLHyvMADTmC3SIVLWilYikBi+X3KYAsQprz+PpsniI40OEjNC79zQD+47xyQhAisMzLD+1bXrMOupD3y/99v8vyQjTtrM8wC6yVC1+aXvHgWYqEtWavMRgMUnk4+KuWTdbB11kBOXQ6w1Km1heSB5F8zrwvN8uvZym+wXwYxJ+vzlmRt5SYlecoicHvBXDVOfd1kfZyIvr3RPQ7RPS9vhtJHD6i/dAjIiJuHw66RPhWAB8T11cAXHTO3SCiVwH4F0T0Hc65PX2jc+4xAI8BwPnz5+Oe04iIY8LcSoCISgD+JoBXcZobn0HYnfz9JSJ6DsArAXwxrzyeRmonFCaTtM0rp57lchnLy8upbb16CywA7O7uJjwQfbsXQ6ZrIY4kMj3kXp1mTdd902JfnqzpbohcVoxHa3pp2aqWOWC5QmuPQf0MlmzWs+WdHajvlWWEmgQ+8k7+bm2ttsoKrS8v36ympcRBZgL/CYA/cs5dEoKcA7DtnBsS0f0YHz7yjbyCJJFleafpAzI4PxNdxWIRZ8+enZ64A2C6xVbvod/a2kookPX1dayvr6dk8sUhsIhAeW09Q8iONUsRsZechLX1NGSPhNX5LJ6At9lyflawFtOt65NmHa8C6FiEesAD43ewsrIybSN+j1Yb6XbSXpDNZjM1+DgQrZRNu1H3er2UrPoEYi5Pvk/foN7e3k4clsr9WH+oLKWp+54VsNWKQ2jtsTmUGINkHD7inPswxkeQf0xlfy2AnyKiPoARgB92zm3nSnGrLvN0Gg1NhvHg1H7llisov1T9EvNeapbMs6aFkoyclvfl0QhRAL46LSJJKz/LnVaTkVmwgnzKAZ5Vhm5Ha8ajZwbzKMisdPk+fO/HmglYcoS0V+i7n3c2MO/hI3DOvcNI+xSAT80lSUTECYLvIyLTZiln1vtCygtJBxZo7wBr01nsactO9dmueTbyYbyAiIiTiIVQAoXC+MRf/ltiNEqfSkwTzzTellksFrG6uppwYHHOoV6vpzwGW60Wnn322alyuHjxohkhSDvWWOZG6PSL7XZ5reErT0/PLWchy9NNOqvwteVY4zvIVdavy7e2fOvnYi9QvevPMvmq1WrCPrbs29FohHa7bfItEnr7uI8TkE5LzuPEZJmibLbws3I/1O+00WikyuODVmV7WBxYHjEYakpyel4/XQglAOQ/hO6YVj6LdbaIr8FgMC2DOQJ97yIg9GXLTsl5pKOOj+9gR5p5kDeTslY2fKsnIcFBWZHpQaPjLVieetqVmK91vL8Qj0GWT6Lb7aaeX3okyvs07+Fb8chDyIzZV77GQiiBrAFu2Vwh5cxyX15ZIemHBd+L9D1Plk16mGTnrPdmtX9o24aSZln5jsrOnrfOrGectc8epG0l4i7CiIhTjoWYCbAddNCv7EG0fsj0Vqb7yMnDlEPPkG6HmTLrctlRIsvBB8g2c2YtKystRLZQWQ+CkJnCPO9pIZQAMBa+VCrhzJkzucQIO3tIm84iq2q1WioWnt791Wq1cOnSpdR9W1tbKRlkKCtZhi4/b1rre4k+hx55X4jtze0RYu9b5kXIOrtFaMnty3yPtrMt25VJQTmoOSw4Q8fj4/+tw0c1MWht4dXEqbWNnT9MWX4G3Bf1ew/xCcibzstBbxG2+r55P6QLpQQKhULKe4+IUgdKDAaDBPva7/fRaDRSR5Ovrq6mPO40e9xsNrGzs5PIs7KykjrBl4gSp+LwC9KDVJN08jd9LdMsrz/rXuslVyqVhBw6kKalmKS8EtrByqcEtNefcy7hWciDQ3vhWUqAvUU5nff76wGRpUA4j3YVH41GaLVaKW/GVqs13XrunDNl5T4p24gPDOE6Op0O/vRP/zRFRuqy+NmzPPh8qyesdLhOJrw1me073SlPMUROICLilOPEKYFFWb6L8CO+o5OFhTEHgNmXAUOQR3Tp/333zUoMHvVS4iLjdpGYEYeDhVACfMCIPlwCyHaC0B5mVkz+kM6oybDhcJiKg1coFNDv9xMkluXQ4lMqec+UNXDyyrI8+vLu85Wv28LyYAuBzzHIV79uO81jMMeR126+KEJZ24uznk//xpwJl8dcjvXRmFcRzrtCMW/ehVAC9XodDz/8sEmocJp8CN5iyx2C49FpVrjdbpsBMSUGg0HKtbjT6eCFF14AcOvrXiqV8KpXvWrqtlsqlXDnnXdiaWkpUbYVsFIPBim7L4+ULw9Wm8mO6hvIFpmkiS8dczALmhTVJzRbTD3LL7d88wEusj342DmfsxSj3W6nSLpms4l2u50gHrVHn0Wq8eEgsrzd3V1cuXJl+gwcv1DLYXmrhihF613pw0Ysxe8jHX2ksMRCKIEQZC2n+JjjecBfIetIKun7bbHmsyJvySh0FmOlHeQrlDcTyJuZcB6L5bY6pW5vZuT1qoh09/bJqgOn8tJx3hKhZcLxO5fl9Xo9NJvNqeK1lBpwa4+H7x373lvWMrBUYqEuzb5nkzhxxGDE8SDa+CcPoe8sJKjIvRiHG98C4AA85pz7RSI6C+ATAO4D8DyANzvnbtJY5fwigEcAtAG8wzn3ZE4d07jyoZpTfvl99qcVicYK9mA5iViQ027+muiQ4Bby1n2zEOJzYOXTNm9ofVllz2NDW7MKq721ze7jBDQsPsSq0/fl9ckA3DKNZDqbWXIW4bP/s76+vi/+YSrbPMc2Rog5MADwY865J4loFcCXiOizAN4B4Ann3M8Q0XsBvBfA3wXwRozDij0A4C8C+ODk/0xhl5aWUrv5gFv2m2Vz6QfUjc5lSnCIJ76HPdHklMl3yuzVq1cTsRD5wBQGx8uX231ZwelTla3wUCGxDn2D1OrQ2qPSN82UsKbcIbwET9ezSDrmd7RnJx8EwnlZdikHnzugodux0+mk0qwdfXqaPxgMUqHodnd3cfPmzUS9jUYD7XZ72ibOpR2ngPmPW7cGK/cf/dHTZfk4gTyERBa6gnEUYTjnGkT0NIB7ADyKcdgxAHgcwL/BWAk8CuBX3PhpPkdEG0R0flKOCWnz6Ab1DUjZgVl5aMWgT84BkPIo0+RYlg3VaDSmDV2tVtHpdBLEF7+ovA7AHdDyBAzV3hLW11d/rXxfw5B4iNY7sGSVX1NL8bAnoCYytbfecDhEqVRKlM+rM7pO/e70B4N5An3oh+Xhp0nk7e1tXLlyJSFbt9tNxA/guAl5781q/5C+wnVITsA5l1LePoQo8Jk4ASK6D8B3Afg8gC0xsF/E2FwAxgrim+K2S5M0Xdb03AF5XHNERMTtRbASIKIVjOMH/qhT5whMvvozGTPOuceccw875x4+c+bMLLdGREQcIoKWCImojLEC+Khz7tcmyVd5mk9E5wFcm6RfBnCvuP3CJC2r/Ol0Rx5jJX/X+UNJFB9ho0kzfY+v7DxyzEcGhRBTWeXOUlZW+Qcpz8pzmj0jv1UQsjpAAD4M4Gnn3M+Lnz4N4O0Afmby/2+I9PcQ0ccxJgR3s/gA4JbHoLbxgFsx3KydbZIQ1GSJRVRxunRq4XVkWRYz//o+SZoxdyFtOosT8BFrWdyHxRXI8jR8jHjWPZwesjKiDx8B0g5K/AySE+j3+6bNrm1vTQzyB0FzAlZ8RQ2rLbQfgnPj3YZ8ZoFzDru7u9jeTkbH39vbm/IJ0h6XXJNPCeZ5NnJaKCfAdfsQKoeFkJnA9wD4fgB/QERfnqT9BMaD/5NE9E4AL2B8MCkAfAbj5cFnMV4i/IG8CorF4jTQqEa/38f169cTA0kv3XCHseIE5jU8E0fy2lJGrAT4XmavtRLQLD+Xbx06YQ1wrQB0xw85fESTcrPMArQC4dmZLt9SbNoBR7Pyzo2DfmoWXpOFPkWkveaAdOBVTWxy++gYg3t7e3jxxReneW7evInr168nBrcViJWIUK1WE0rB18fyBqDVtiGw+g6naxzK4SPOud8D4Hua1xv5HYB359YcEYzDXj+eVwZGCPudZWbpdOvrraF9B+RMblaThBWDXOazli6tQCN6gFsfDM4n/7fg82+x5PWZtXlpIW0TPQYjIk45ohKIiDjlWIgNRJKgstxAtWceT92kzSundwzLPtfTSZ+DkjXF08Sgla9YLKYOQSGiFCdgTZ8tL0INa2OTdYCInspabre+NCmbbzOVxU1IToAJV7lDk6fdmlT0Tbv1tbUrT8sgncGY5G02mwkeYjgcYnd3d3p4DfMXIcSd9U6skHI+W1zzC1adIdP8EFs/FAulBKyBwEpApvd6vcRptD4loGPvAekXxoNWvxwrNp70WCuVSubegWKxmDi9SLPJAFKsuWwDLWvIgRihSsCyxX2KQSoB3a7syq0h4zdyHD85+HxKQMtmnezM78nyUpTY3t5O7Rh88cUXE3EkWba9vb1Emoa1m9Ea7D7FoOGz7SUsMtiXT5dtPUMIn7QQSgDIZrD1i5ilga0TcDWk9uUvt5VPlu/bSmytPugXYTHrvkHKqxBZy3w+Uk7OlHxEna9MXZZVp06TisfaYGUpJ85r1a9XSnzMv4Q+Ynw4HJoDvtPpJJYqraPPfHWGfL01MRja9lnLhlkkX5aCySMHIycQEXHKsVAzgdFolFpDtmze0WiEUqk0nTb5pmR8v4QVWipk+cXS9hx5RubJmiEwLHn12r6Ul+/3yepzFrK2TFtftawvv++rb009s7gdhtWO2kTzrbFbsljmUlYosSycVu/HhVECTCTduHEj9Ztl/9Rqtant3e12p//kPVZn5YHLncKangJpJxQ9TSMitNvtBFlVq9VS5yYAMHfE6Y5pnYprxTr0Db6stXefOWCFDePpNKdbDjNsU2sZOp1OyrNTk67M02gORk/D9Tvv9XrY2dlJmVXPP/98Ip/e9QeMQ47pti0UCqmzJUJQKpUS4eF8Nny73Tb5A3mfFRezUqmkHOc0T9Pr9VJbpnUeRshuw4VRAtxJLVbessvkgLTcTDmfrx5fHr4Osct8Xx0LmicIZYXlQPbJ60sL4QTyvvKhMwFO09uXra++9pIL8a4D0gRov9+fMvyMVquVUgIWEau3nrPMGvr5Od4fy+tzZ9akLn9E5KnErFBknmq1iuXl5URZOs6jc+nVjKN2G46IOHSEur1mIVSp5clgEZFZ6VaatYKQd5+PUMwjGX2ehiHPaiESgxERpxxRCUREnHIshDkwGAyws7Pj3QyibUFtl5XLZdTr9ZTd3el0zHh2ujxNzlhehKPRCJcvX57avOwsJM8dWF1dxfLyMtbW1hJllcvlhA3NB3BKlEqlhD3Nzy3lcM4l1rsZ+pBVljePEbc8HpmglMSgjquvORlOq1Qqief0xbzTfMJgMEjIweHGZJ3tdhs3b95McTDaaalWq5neh9oPhPsQ16H5DPlcEqVSKbGLkNM0rN2B0gnKRwxWq9VcYrBQKKR8MPj8DN87z+oLC6EEeBnQt6zkcy6R5IxcMuQyraCTVif0eRFKDIdD7O/vTxue80j2ntl8i4TSqwOWEtCwnG00nHNTxSbTtBKwbEg9+IBbQTm1EtB1Wnar3mdvnZxr7dbTg7nZbKLVaiXeU7PZxEsvvZQiLS0loO1uHfxV/ibbwoqRoGF5LlofLnmCtbxXvnfLMchSAvq97+3tTeM1MtiL1hcPMgsLoQSAfHLGQgg5E4q8LZiW194sJFRInVlyzFr2QTDPmrrv/c1DAPrW9UPbIIRsk/myiDzrnizyTl9nEYF5coXIMc+9GpETiIg45YhKICLilINu5zTTKwTRdQAtAC8dtywHwB042fIDJ/8ZTrr8wNE+w8ucc+d04kIoAQAgoi865x4+bjnmxUmXHzj5z3DS5QeO5xmiORARccoRlUBExCnHIimBx45bgAPipMsPnPxnOOnyA8fwDAvDCURERBwPFmkmEBERcQyISiAi4pTj2JUAEb2BiJ4homeJ6L3HLU8oiOh5IvoDIvoyEX1xknaWiD5LRF+f/L9Qxy0T0UeI6BoRPSXSTJlpjF+avJevENFDxyf5VFZL/vcT0eXJe/gyET0ifnvfRP5niOivHo/Ut0BE9xLRvyaiPySirxLRj0zSj/cdyKgzt/sfgCKA5wDcD6AC4D8A+PbjlGkG2Z8HcIdK+1kA7538/V4A//Nxy6nkey2AhwA8lSczxudJ/iYAAvBqAJ9fUPnfD+DvGHm/fdKfqgBePulnxWOW/zyAhyZ/rwL42kTOY30Hxz0T+G4AzzrnvuGc6wH4OIBHj1mmg+BRAI9P/n4cwN84RllScM79LoBtleyT+VEAv+LG+ByADRofQX9s8Mjvw6MAPu6c6zrn/hjjA3K/+8iEC4Bz7opz7snJ3w0ATwO4B8f8Do5bCdwD4Jvi+tIk7STAAfgtIvoSEb1rkrblbh3D/iKAreMRbSb4ZD5J7+Y9k+nyR4QJttDyE9F9AL4LwOdxzO/guJXAScZrnHMPAXgjgHcT0Wvlj248nztR668nUWYAHwTwCgAPArgC4APHK04+iGgFwKcA/KhzLhEl5jjewXErgcsA7hXXFyZpCw/n3OXJ/9cA/DrGU82rPF2b/H/t+CQMhk/mE/FunHNXnXND59wIwIdwa8q/kPITURljBfBR59yvTZKP9R0ctxL4AoAHiOjlRFQB8BYAnz5mmXJBRHUiWuW/AfwVAE9hLPvbJ9neDuA3jkfCmeCT+dMA3jZhqF8NYFdMWRcGykZ+E8bvARjL/xYiqhLRywE8AOD3b7d8EjSO+PFhAE87535e/HS87+A42VLBgH4NY/b2J49bnkCZ78eYef4PAL7KcgPYBPAEgK8D+G0AZ49bViX3xzCeMvcxti/f6ZMZY0b6/5i8lz8A8PCCyv+rE/m+Mhk050X+n5zI/wyANy6A/K/BeKr/FQBfnvx75LjfQXQbjog45ThucyAiIuKYEZVARMQpR1QCERGnHFEJREScckQlEBFxyhGVQETEKUdUAhERpxz/P0X8cfAHiO97AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 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",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 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"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "IhuAjX8KfPa-"
      },
      "source": [
        "# having early stopping and model check point"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_XtYmjt5dZ2c"
      },
      "source": [
        "## having early stopping and model check point \n",
        "\n",
        "from keras.callbacks import ModelCheckpoint, EarlyStopping\n",
        "\n",
        "# early stopping\n",
        "es = EarlyStopping(monitor='val_accuracy', min_delta= 0.01 , patience= 5, verbose= 1, mode='auto')\n",
        "\n",
        "# model check point\n",
        "mc = ModelCheckpoint(filepath=\"best_model.h5\", monitor= 'val_accuracy', verbose= 1, save_best_only= True, mode = 'auto')\n",
        "\n",
        "# puting call back in a list \n",
        "call_back = [es, mc]"
      ],
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4GxQ9-qSfT3K",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "05e315e5-8f3b-481f-b024-5cbfa5f624ef"
      },
      "source": [
        "hist = model.fit_generator(train_data, \n",
        "                           steps_per_epoch= 10, \n",
        "                           epochs= 30, \n",
        "                           validation_data= val_data, \n",
        "                           validation_steps= 8, \n",
        "                           callbacks=[es,mc])"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/keras/engine/training.py:1972: UserWarning: `Model.fit_generator` is deprecated and will be removed in a future version. Please use `Model.fit`, which supports generators.\n",
            "  warnings.warn('`Model.fit_generator` is deprecated and '\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/30\n",
            "10/10 [==============================] - 35s 539ms/step - loss: 21.7852 - accuracy: 0.2188 - val_loss: 17.8810 - val_accuracy: 0.2305\n",
            "\n",
            "Epoch 00001: val_accuracy improved from -inf to 0.23047, saving model to best_model.h5\n",
            "Epoch 2/30\n",
            "10/10 [==============================] - 5s 475ms/step - loss: 13.8177 - accuracy: 0.2375 - val_loss: 11.4638 - val_accuracy: 0.2422\n",
            "\n",
            "Epoch 00002: val_accuracy improved from 0.23047 to 0.24219, saving model to best_model.h5\n",
            "Epoch 3/30\n",
            "10/10 [==============================] - 5s 468ms/step - loss: 8.5972 - accuracy: 0.3594 - val_loss: 6.5346 - val_accuracy: 0.4297\n",
            "\n",
            "Epoch 00003: val_accuracy improved from 0.24219 to 0.42969, saving model to best_model.h5\n",
            "Epoch 4/30\n",
            "10/10 [==============================] - 5s 468ms/step - loss: 6.4590 - accuracy: 0.4094 - val_loss: 5.6742 - val_accuracy: 0.4570\n",
            "\n",
            "Epoch 00004: val_accuracy improved from 0.42969 to 0.45703, saving model to best_model.h5\n",
            "Epoch 5/30\n",
            "10/10 [==============================] - 5s 463ms/step - loss: 6.8564 - accuracy: 0.3750 - val_loss: 6.8206 - val_accuracy: 0.3555\n",
            "\n",
            "Epoch 00005: val_accuracy did not improve from 0.45703\n",
            "Epoch 6/30\n",
            "10/10 [==============================] - 5s 467ms/step - loss: 6.0835 - accuracy: 0.3688 - val_loss: 6.2523 - val_accuracy: 0.4414\n",
            "\n",
            "Epoch 00006: val_accuracy did not improve from 0.45703\n",
            "Epoch 7/30\n",
            "10/10 [==============================] - 5s 465ms/step - loss: 5.0290 - accuracy: 0.4187 - val_loss: 4.6664 - val_accuracy: 0.4883\n",
            "\n",
            "Epoch 00007: val_accuracy improved from 0.45703 to 0.48828, saving model to best_model.h5\n",
            "Epoch 8/30\n",
            "10/10 [==============================] - 5s 464ms/step - loss: 4.8455 - accuracy: 0.4000 - val_loss: 4.4185 - val_accuracy: 0.4922\n",
            "\n",
            "Epoch 00008: val_accuracy improved from 0.48828 to 0.49219, saving model to best_model.h5\n",
            "Epoch 9/30\n",
            "10/10 [==============================] - 5s 462ms/step - loss: 4.7423 - accuracy: 0.4156 - val_loss: 6.4577 - val_accuracy: 0.3789\n",
            "\n",
            "Epoch 00009: val_accuracy did not improve from 0.49219\n",
            "Epoch 10/30\n",
            "10/10 [==============================] - 5s 470ms/step - loss: 5.6904 - accuracy: 0.4000 - val_loss: 5.4667 - val_accuracy: 0.4336\n",
            "\n",
            "Epoch 00010: val_accuracy did not improve from 0.49219\n",
            "Epoch 11/30\n",
            "10/10 [==============================] - 5s 460ms/step - loss: 6.2814 - accuracy: 0.4313 - val_loss: 6.2598 - val_accuracy: 0.4023\n",
            "\n",
            "Epoch 00011: val_accuracy did not improve from 0.49219\n",
            "Epoch 12/30\n",
            "10/10 [==============================] - 5s 458ms/step - loss: 6.7551 - accuracy: 0.4125 - val_loss: 6.2386 - val_accuracy: 0.3828\n",
            "\n",
            "Epoch 00012: val_accuracy did not improve from 0.49219\n",
            "Epoch 00012: early stopping\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V6YSss56fWrD"
      },
      "source": [
        "\n",
        "# Loading the best fit model \n",
        "from keras.models import load_model\n",
        "model = load_model(\"/content/best_model.h5\")"
      ],
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Rd0p7xDzfe2V",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "852aa271-31b9-4d8d-8ef8-9de03085381a"
      },
      "source": [
        "h =  hist.history\n",
        "h.keys()"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "dict_keys(['loss', 'accuracy', 'val_loss', 'val_accuracy'])"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2Qm3Qz11fhMy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "outputId": "3a3cdbdd-167c-4368-c675-8b8290d607a9"
      },
      "source": [
        "plt.plot(h['accuracy'])\n",
        "plt.plot(h['val_accuracy'] , c = \"red\")\n",
        "plt.title(\"acc vs v-acc\")\n",
        "plt.show()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "f2Z9fjdZfjcU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "outputId": "1a92fc5a-71a1-4c89-8fef-e92522f3fbcf"
      },
      "source": [
        "plt.plot(h['loss'])\n",
        "plt.plot(h['val_loss'] , c = \"red\")\n",
        "plt.title(\"loss vs v-loss\")\n",
        "plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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eGNOphVeiB9d8U14Or7zitaiIMCU9jU935FNeVRuA4Iwxxv/CL9GPHw/Dhvncp37KyFSqa+tZvO1wOwdmjDHtI/wSvYjrarlokbsx68Vpg3rQNTbK2umNMZ1W+CV6gG98wz1E5cNN2ejICM4ZkcoHm3Opq7enZI0xnY8vk4PPFpFcEVnfaNkvRWSfiKz2vKY3s+00EdkiIttF5Cf+DLxN+veHqVPh6afdxCReTBmZRkF5NZ9nFwYgOGOM8S9favRPAdOaWP5/qjra83rn6JUiEgn8E7gAGAlcJyIj2xKsX2Vmwt698MEHXotOOiGF6EhhvjXfGGM6Ia+JXlUXAa0Zr3cssF1Vd6pqNfACcEkr9tM+LrkEunXz6aZs19hoTh/c07pZGmM6pba00d8pIms9TTvdm1jfD9jb6HOOZ1mTRGSmiGSJSFZeXl4bwvJRbCxcfz28/joUFXktPiU9jR155ezM897/3hhjOpLWJvpHgCHAaOAA8Je2BqKqs1Q1Q1UzUlJS2ro732RmwpEj8MILXouem54K2FOyxpjOp1WJXlUPqWqdqtYD/8Y10xxtHzCg0ef+nmUdx6mnwqhRPjXf9O8eT3qfrizYaJOGG2M6l1YlehHp0+jjZcD6JoqtAIaJyPEiEgNcC7zVmuO1GxFXq1++3E0g7sXU9FSy9hRQUF4dgOCMMcY/fOleORdYAgwXkRwRuQX4o4isE5G1wNnA9z1l+4rIOwCqWgvcCbwPbAJeUtUN7XQerXfjjRAV5VOtfsrINOoVPtxstXpjTOchHXGqvIyMDM3KygrcAS+9FJYudd0to6ObLaaqnP77hYwZ2J1Hbjw1cPEZY4wXIrJSVTOaWheeT8YeLTMTDh2C995rsVjDIGcfb83jSI33B62MMaYjsEQPMH06pKb63HxTUV3H0p35AQjMGGPazhI9uOaaG2+E//wHvPThP2NwT+JjIq2bpTGm07BE3yAzE2pr4fnnWywWGx3JpGEpLNiYS0e8v2GMMUezRN9g1CjIyHDNN14S+JSRaRwsOcKG/SUBCs4YY1rPEn1jmZmwdi18/nmLxc4enkKEwDwb+8YY0wlYom/suuugSxevN2V7Jnbh1OO62yBnxphOwRJ9Y927uz71c+ZAVVWLRaekp7HxQAl7CyoCFJwxxrSOJfqjZWZCQQG81fJoDRee3JfICOGpz3YHJi5jjGklS/RHmzLFzUDlpfmmX7c4LjqpD3OXZ1NUYWPfGGM6Lkv0R4uMdHPKvv8+7Gt5sM1vnzWEiuo6nl2yJ0DBGWPMsbNE35Sbb4b6enj22RaLpffpytnDU3jqs902JIIxpsOyRN+UYcNgwgSf+tTfdtYQ8sureTlrb4vljDEmWCzRNyczE7ZuhSVLWiw29vgenDKwG48t2kltXX2AgjPGGN9Zom/OVVdBfLzXm7Iiwm1nDSGnsJK31x0IUHDGGOM7S/TNSUpyyf7FF6G8vMWiU9PTGJKSwKMf77Txb4wxHY4l+pZkZkJpKbz2WovFIiKEb581hE0HSli07XCAgjPGGN9Yom/JpEkweLBP49RfOrofvbvG8uhHOwIQmDHG+M4SfUtEXFfLDz+EXbtaLBoTFcEtE45nyc58Vu8tCkx8xhjjA0v03syY4RL+0097LXrduIF0jY2yWr0xpkPxmuhFZLaI5IrI+kbL/iQim0VkrYi8LiLdmtl2t4isE5HVIhLA2b79aOBAOPdceOop9xBVCxK7RHHTGcfx/saD7MgrC0x8xhjjhS81+qeAaUctmw+MUtWTgK3AfS1sf7aqjm5udvJOITMT9uyBjz7yWvTmM48nJjKCfy/a2f5xGWOMD7wmelVdBBQctWyeqtZ6Pi4F+rdDbB3HpZdC164+3ZRNSerCVRn9eW3VPg6VHAlAcMYY0zJ/tNF/E3i3mXUKzBORlSIys6WdiMhMEckSkaw8LxN0B1x8PFx7Lbz6KpR4nz5w5sQh1NbXM/uTlm/gGmNMILQp0YvIz4BaoLkZtSeo6hjgAuAOEZnU3L5UdZaqZqhqRkpKSlvCah+ZmVBZCS+95LXowJ7xTP9aH55flk1xZU0AgjPGmOa1OtGLyM3AhcAN2szjoKq6z/MzF3gdGNva4wXduHEwYoRPzTfgBjsrq6rl+WU2hLExJrhalehFZBrwY+BiVW1yLj0RSRCRpIb3wHnA+qbKdgoirlb/2WewZYvX4qP6JTNxWC9mf2JDGBtjgsuX7pVzgSXAcBHJEZFbgH8AScB8T9fJRz1l+4rIO55N04BPRGQNsBx4W1Xfa5ezCJSbbnITkzz1lE/Fbz9rCIfLqnh1VU77xmWMMS2QjjgIV0ZGhmZlddBu9xdeCJ9/DtnZLum3QFW55J+fUlJZw8J7JhMZIQEK0hgTbkRkZXPd2O3J2GOVmQn798O8eV6LNgxhvDu/gvfWHwxAcMYY878s0R+riy6Cnj19vil7/om9Ob5XAo9+vMOGMDbGBIUl+mMVEwM33ABvvgkFBV6LR0YIMycNZt2+Yj7bkR+AAI0x5qss0bdGZiZUV8OcOT4Vv+yUfqQkdeERG+zMGBMEluhbY/Ro9/Kx+SY2OpJvjj+eT7YfZl1OcTsHZ4wxX2WJvrUyM2HVKli50qfiN5w+kKQuUTy6yGr1xpjAskTfWjNmQHIy/O53PhXvGhvNDacfx7vrDrAnv+U5aI0xxp8s0bdWcjLcdRe8/jqsXevTJt8cP4ioiAhm2RDGxpgAskTfFnffDUlJ8Jvf+FQ8tWssV5zaj5dX5pBbakMYG2MCwxJ9W3TvDt/7HrzyCqz3bRifWycOpqaunqc+3d2+sRljjIcl+rb6/vchIcHntvrBKYlcMKo3zy7dQ+kRG8LYGNP+LNG3Vc+ecOed8OKLsHmzT5vcdtYQSo/UMnd5djsHZ4wxluj94557IC4Ofvtbn4qf1L8bZw7pyeOLd1FVa0MYG2PalyV6f0hJge98B+bOha1bfdrktrOGkFtaxRuf72vn4Iwx4c4Svb/88IfQpQv8v//nU/GJw3pxYt+uPLZoJ/X1NtiZMab9WKL3l7Q0uO02eO452OH96deGIYx35pUzb+OhAARojAlXluj96Uc/gqgon2v1F4zqzcAe8TxiQxgbY9qRJXp/6tMHZs6EZ56BXbu8Fo+KjODWSYNZs7eIpTu9D3lsjDGtYYne3378Y4iIgAcf9Kn4Vaf2p1diDI9+bIOdGWPah0+JXkRmi0iuiKxvtKyHiMwXkW2en92b2XaGp8w2EZnhr8A7rP794VvfckMYZ3vvJx8bHUnm+OP5eGseG/eXBCBAY0y48bVG/xQw7ahlPwEWquowYKHn81eISA/gF8A4YCzwi+YuCCHl3nvdTx9r9TeOO46EmEgesyGMjTHtwKdEr6qLgKMbkS8Bnva8fxq4tIlNzwfmq2qBqhYC8/nfC0boGTjQjVf/xBOQk+O1eHJ8NNePG8h/1x5gb0FFAAI0xoSTtrTRp6nqAc/7g0BaE2X6AXsbfc7xLPsfIjJTRLJEJCsvL68NYXUQ990H9fXwxz/6VPyWCYOJEPj3YhvC2BjjX365Gauub2Cb+geq6ixVzVDVjJSUFH+EFVyDBrnJSWbNggMHvBbvnRzLpaP78VLWXvLLqto/PmNM2GhLoj8kIn0APD9zmyizDxjQ6HN/z7LwcN99UFsLf/qTT8W/fdZgqmrrefqz3e0blzEmrLQl0b8FNPSimQG82USZ94HzRKS75ybseZ5l4WHIELjxRnj0UTjk/enXoalJTE1P4+kleyivqg1AgMaYcOBr98q5wBJguIjkiMgtwIPAVBHZBkzxfEZEMkTkcQBVLQB+A6zwvH7tWRY+fvYzqKqCP//Zp+K3TR5CcWWNDWFsjPEb6YiP3mdkZGhWVlaww/Cfm26C116D3bvdSJdeXP3YEvYWVPDxj84mJsqeaTPGeCciK1U1o6l1lkUC4Wc/g8pK+OtffSp++1lDOFB8hLfW7G/nwIwx4cASfSCMGAHXXAP/+Afk53stPnl4CiN6J/HYxztsCGNjTJtZog+U+++H8nL4v//zWrRhCONtuWV8sLmpzkzGGOM7S/SBcuKJcOWV8Pe/Q2Gh1+IXntSHft3ieMQGOzPGtJEl+kC6/34oLYWHHvJaNCoyglsnHs/KPYWs2B1eHZWMMf5liT6QTjoJLrsM/vY3KCryWvya0wbSIyGGRz+yWr0xpvUs0QfaAw9AcTE8/LDXonExkcw4YxALN+ey5WBpAIIzxoQiS/SBNno0XHyxuylb4n38+W+ccRxx0TaEsTGm9SzRB8MDD7gbsv/8p9ei3RNiuHbsAN5avZ99RZUBCM4YE2os0QfDqafC178Of/kLlJV5Lf6tiYMB+PciG8LYGHPsLNEHy89/7h6e+te/vBbt1y2Oy8f04+klu3ncxqs3xhwjS/TBMm4cnH++G+ysvNxr8V9fMoppJ/bmt29v4lf/2UCdPTFrjPGRJfpgeuAByMuDxx7zWjQ2OpJ/XD+Gb44/nic/3c0dz6/iSE1dAII0xnR2luiD6cwzYcoUN91gpfcbrZERwgMXjeTnF47k/Y0HueHxZRSUVwcgUGNMZ2aJPtgeeMBNSjJrls+b3DLheP51/RjW7Svmikc+IzvfJhQ3xjTPEn2wTZwIkyfDH/4AR474vNkFX+vDnG+No7Cimssf+ZQ1e70/aWuMCU+W6DuCBx5wE4g/8cQxbZYxqAev3n4mcTGRXDtrKQs3eZ+u0BgTfizRdwSTJ7ua/YMPumkHj8GQlEReu308w9ISufWZLJ5buqd9YjTGdFqW6DsCEVerz8mBJ5885s1TkrrwwszTmTw8lfvfWM8f3ttsE5YYY75gib6jOPdcOOMM+P3vofrYe9LEx0Qx66ZTuX7cQB75aAfff2k1VbXW/dIY04ZELyLDRWR1o1eJiNx9VJnJIlLcqMwDbQ85RDXU6rOz4ZlnWrWLqMgIfnfpKH50/nDeXL2fGbOXU1xZ4+dAjTGdjai2/Su+iEQC+4Bxqrqn0fLJwA9V9cJj2V9GRoZmZWW1Oa5ORxVOP909RLVlC0RHt3pXr3+ew49fWcvxvRJ4MnMs/brF+TFQY0xHIyIrVTWjqXX+aro5F9jROMmbVmio1e/aBc8916ZdXXZKf57OHMuBoiNc/q9P2bC/2E9BGmM6G38l+muBuc2sO0NE1ojIuyJyYnM7EJGZIpIlIll5eXl+CqsTmj7djW75u99BbW2bdnXm0F68fPsZRIhwzWNLWbwtjH+vxoSxNid6EYkBLgZebmL1KuA4VT0ZeBh4o7n9qOosVc1Q1YyUlJS2htV5NdTqd+yAuc1dO303ondXXvvOmfTvHkfmkyt4OWuvH4I0xnQm/qjRXwCsUtX/eVpHVUtUtczz/h0gWkR6+eGYoe2ii+Dkk+G3v4W6tvec6ZMcx0u3ncG4wT340StreWjBNvxxb8YY0zn4I9FfRzPNNiLSW0TE836s53j5fjhmaGuo1W/dCi+95Jdddo2N5smbx3L5mH7834Kt/OTVddTU1ftl38aYjq1NvW5EJAHIBgararFn2W0AqvqoiNwJ3A7UApXAD1T1M2/7DdteN43V17tafV0drFsHkZF+2a2q8tf5W3n4g+2cdUIK/7xhDIldovyyb2NM8LTU68Yv3Sv9zRK9x8svw9VXw4svup9+NHd5Nve/sZ4RvZN48ubTSO0a69f9G2MCyxJ9Z1VfD1/7GkREwJo17qcffbg5lzvmrKJ7fAxPf/M0hqYm+XX/LVFVDpVUsS23lG0HS6ncsYsRGemMH55GbLR/vr0YE04s0Xdmc+fC9dfDq6/C5Zf7fffrcorJfGoF1bV1/PsbGYwb3NOv+6+vV/YVVbI9t8wl9UNlbMstY0duGeWVVZy/dQm3L3uFkw5upzQmjrX90ykYM5ae553NSVecT2KPZL/GY0xHo+r+j6zfV0JhRTXXjR3Yqv1You/M6urgxBMhNhZWrfJ7rR5gb0EFM55cTk5BJX+5+mQuOrnvMe+jtq6evYWVbDtUyrbcsi8S+47cciobTXmYktSFET26cMXGjzj7radIzt5J3ZCh6Ldu4dC6rUR8+ilp2duIUKVWIsgeNIKa08+g79enkjRlMqSl+fHMjbRI8xcAABMSSURBVAms+npld3456/eXsGFfMev3F7NhfwlFFW6okq6xUaz5xXl4+rAcE0v0nd1zz8FNN8Ebb8All7TLIYoqqrn1mSxW7C7kp9NHcOvEwU3+sVXX1rMnv5xtuWWe2nkp23PL2JlXTnWjXjx9k2MZmpbEsNREhqUmMjQ1kaHx0O35p+Evf4F9++CUU+C++9w3lUY3m+sKCtn+5nzy3l1IQtZS0vduJrbWDfRW3H8QUZMmkHDOZJgwAU44wfVSMqaDqa2rZ0deOesbEvq+EjbsL6a82lV8YiIjGN47iVH9unJi32RG9UtmRO+kVjddWqLv7GprIT0dKirgO9+B666DwYP9fpgjNXXc8/Ia3l57gBlnHMc1pw38IpE3JPU9+RXUeoZAFoEB3eNdIk9LZFhqEkNTExmSkkBSbKNxevLz4eGH3augwI2/f999MHWq1yStqmzcfZi1b31A2cKPOW7z52TkbKRHZQkAdT17Ejlxokv648fDmDEQE+P3341phqp7tcM3zc6kqraOrQfLWL+/2JPYS9h8oISqWlf5iYuOZGTfrozq25UT+yUzqm8yQ1MTiYny3+/NEn0oWLIE7r0XFi92n884w7XdX301pKb67TD19crv393Evxfv+mJZZIRwXM94T+08iWFproY+uFcicTEt1D5ycuCvf3Xz4ZaXu28jP/mJG7itlXYdLuf99QdYt3A5iVlLOS1nI2cc2ES//P0AaGwsMm6cS/wTJrjfU7K187eL4mL3N7hkCdx8M3z72zB8eLCjancV1bVsOlDCek8Nff2+ErYeKv2iApQUG8Wovsmc2Lcro/olM6pfV47vlUhkRPt+87REH0r27IEXXoDnn/+yf/1557n/cJdeComJfjnMR1tyKa+qY2hqIoN6xdMl6hi+Tm7d6ubAffZZ13Po+uvdRerEZoc6apWDxUeYv/Eg7204yI612zklewNnHd7KxENb6LtrM1JX574xnHSSq+03JP8BA/waR1jauRMuvBC2bXPfzBYsgJoaOOccuO02d1EPgW9WJUdqvmhyaaip78wro2Fen54JMZ4auiep901mQI+4VrWxt5Ul+lC1bh3MmeNe2dkQF+f+g91wg0v+gf6PtnKlmw7x1VehSxf41rfgnntg0KB2P3RRRTULNuXy/oaDLNqaR2RFORMLdnBFxW5OzdlIj7UrkfJyV3jgQDfMxG9+A927t3tsIWfRIndfRdX9W0+eDIcOwezZ8NhjrjKSlub+/W+9FY47LtgR+yy39AjLd+az58OldH/nLU7YuIKo+jrqRYiKiiI2Npr42BjiY6NJiIshJiYKiYx0TVcNr7Z8Tk6GX/6yVbFbog919fXw2Weulv/SS64dvGdPuOoql/TPPLP92lBV4aOP3MxY8+e7P9Q77oC77vJrk9KxqKiu5eMteby/4SALN+VSWlVL1yi4PraIr5fsYMS21UT/5y1ISYF//QsuuywocXZKTz7pmmgGD4b//heGDv3q+ro6eP99ePRRePtt9/cxfTrcfjtMm+a3J7z9JaewguW7Cli+M5/ixUs4adlCLtjyKYOKDlAvERxKP5kuPbqRGBNBjOD+r9XVuZ+NX0cva22ZlBTYvr1V52KJPpxUV8O8eS7pv/kmVFa6GtV117kmlK99zT/Hqa+Ht95yNfhly1wN7gc/cF/bu3b1zzH8oLq2niU783l/w0HmbTjE4bIqYiIjuKlLPt+f+yCJmze4C+LDD1vXzZbU1bkb6H/6E0yZ4ioU3r4NZWfDv/8Njz8OBw+6b1IzZ8Itt0Dv3oGJuxFVZdfhcpfYdxWwfMdhUjeuZvqWT5i+bQl9i3Opj4yifPwk4q+/msjLLgtaZaU1LNGHq7Iy1yXz+eddbbuuziX6G25wiX9gKx7MqKlxD3H94Q+wcaOr2f3oR+5mXGzHHkahrl75PLuQ99Yf5PXP91FcUsHPNvyHbyx4loikROShh9zvxrprflVZmfu9vPWW6/X1t78d2+xnNTWu0vHoo7BwIURFuW9Rt9/umn3a6fddX69szS1l+a4ClnmSe35xBWNzNnDZzmWcv/UzuhXmUR8Tg0w9D7nyCrj4YujRo13iaW+W6A3k5rpa2Jw5rpcEwMSJrpZ/1VWuqaclFRXwxBPw5z+7mtpJJ7keNFdd5f7jdjJHaur4z5r9PPnpbqrXrecv7z/MyTmbOHLeNGIfn2U3bBtkZ7vkt24dPPQQ3Hln2/a3datrx3/ySSgsdM9B3HYbzJjR5gRbW1fPxgMlXyT2FbsLKKqoIaqulun5W7g2exljVi0itvCw6511wQVw5ZXupnIH+hbaWpbozVft3Olq5c8/D5s2uUQ9bZqrtV18McTHf1m2sNC1Yz/0kJvLdsIE9xX+ggtCouarqizfVcBTi3fQ99nH+eHHz0BUFLk//zUD773L3WgLV0uXup5clZWuknD++f7bd2UlvPIKPPKIq3jExsI117ikP26cT39bVbV1rMsp/qK2vnJPIWVVbla2YclRXFe6jXPWL2bAJwuILCyAhASX1K+4wv39+qmHWkdhid40TRVWr3a1/Llz3dOqCQnua/VVV8Enn7iv26Wl7obaffe5RB+i9hZU8J/XF5Px23sZu3sNa4edwsE//53J08/064MtncLcuZCZCf36uZuu6entd6w1a9zf2XPPuWai0aNdwr/+ekj6cqA9VWXlnkIWbzvM8l0FrMou/OKBpBPSEjmzbzxf37+OUcsWEPfu21BS4mrqF1/sau7nned6poUoS/TGu7o6121uzhxX0yoqcj11rrnG9YE/+eRgRxgwFVU1rPnlX/ja335LZG0tj069mci77ua6M48nJalLsMNrX/X18Ktfwa9/DZMmue6TvQI0KVxpqfv7e+QRl/yTkuDGG8m/KZOXq3vw4oq97DpcToTAyL5dGTuoJ2f27sLpm5aR+PabrpdPeblrArr0UldzP/dc19U3DLSU6FHVDvc69dRT1QTRkSOq77+vumNHsCMJqro92Xp48lRV0FV9husFtz6iP3hxta7LKQp2aO2jvFz16qvdoAaZmapVVcGJo75eaz75VPdferVWRXdRBc3qO0L/fvPP9bVPt2nxwTzV555Tvewy1dhYF29qquq3v606b55qdXVw4g4yIEubyalWozemJaowdy513/0uWlLKv8Zfy99Pu4IxQ1LJHD+IqSPTiIoMgWad/fvdw3YrV7oeVT/8YVDuwewtqOClrL28nJXDwZIjDI44wk8Pr2DSB68Ss2M7dOvmOgZUV0Pfvu7BrSuvdE2K4Xw/BWu6MabtcnPhe9+DF18kf8gIfnzBXSxMGEC/bnF844zjuPa0gSTHH0OXw45k1SrXjl1U5JpOLr44oIc/UlPHvI2HeGnFXj7ZfpgIgbNOSOGa0wZybnoq0ZER7oL74YfwzDOuaebKK92YSWE+mFpjluiN8Zc33oDvfAfNzWXXzbfzi1OuYPHecuKiI7l8TD8yxw8K6Exdbfbaa24I7J494T//Cei9mM0HS3hxxV5e/3wfRRU19O8exzUZA7gyoz99kkP3pml7addELyK7gVKgDqg9+kDiRvd5CJgOVAA3q+qqlvZpid50aIWFrmlj9mw44QR2/eHvPFLbmzdW76e6tp5JJ6SQOX4QZw1LIaKdRyxsNVX3VPNPf+pqxq+/HpCnVcuqavnvmv28sGIvq/cWERMZwXknpnHtaQM5c0jPjvv76gQCkegzVPVwM+unA9/FJfpxwEOqOq6lfVqiN53C/Plu0K7sbLjjDvJ/9kvmbCjg2aV7yC2tYnCvBG4eP4grxvQnoUsHeqisqsrF/eyz7gnp2bPb9almVWVVdhEvrsjmv2sPUFFdxwlpiVxz2kAuO6UfPRI6/yiXHUGwE/1jwEeqOtfzeQswWVUPNLdPS/Sm0ygrc7Xif/zDjSk0axbVZ5/Lu+sPMPvT3azZW0RSbBQn9U+mW3wMPeJj6B4f7d4nxNAtPprujd4ndolq3yFuc3PdcxKffea6UN5/f7vddC0or+a1VTm8uGIv23LLiI+J5OKT+3LNaQMYPaBbUIbyDWXtneh3AYWAAo+p6qyj1v8XeFBVP/F8Xgjcq6pZR5WbCcwEGDhw4Kl79uxpU1zGBNQnn7hhebdsgW9+002X2K0bq7ILeX5pNrvzyyksr6awopqiyhqa+28XHSl0a3wxiI+he8KX7xsuDN0TPD/jY0iOi/atyWPdOjc886FD8PTTbtIaP6uvVz7ZfpgXV+xl3saD1NQppwzsxrWnDeDrJ/UlsSN9swkxLSV6f/zWJ6jqPhFJBeaLyGZVXXSsO/FcIGaBq9H7IS5jAmfCBPeU8a9+5UZ4fPddeOQRxlxyCWMGfnWUx7p6paSyhsKKagorar68AFTUUFBRTVFFNYXl7v3Ow2UUZrsyDTMYHU0EusW5xN9wIYjvEkV8dCRxMe41cuUizv/dD6hNSGD5v1+h6sRTid+WR5ynTHxMFPGesvHRkcfcZXR/USUvZ+XwUtZe9hVV0j0+mm+cMYhrThvACWmd6OZ0iGpzolfVfZ6fuSLyOjAWaJzo9wGNR4jq71lmTGiJjXXj8l95pavVX3qpe7L44YfdOOMekRFC94QYuh9D27SqUlZV6y4GjS4MhRXVngtFw4WjmoMlR6iorqOyuo6Kqhqu+exVpi+czabU4/nW5T/n4Hpg/coWjxcTGeEuEtGRX14AYiKJi3EXkIZlcdGRbM8r4+OteajCxGG9uG/6CKaOTDu2WclMu2pToheRBCBCVUs9788Dfn1UsbeAO0XkBdzN2OKW2ueN6fROPRVWrIA//tHNYrVggUv+/fq5h3wav3r29KkvuIiQFBtNUmw0A3rEey0PuIeK7rwTFjxO/WWXMWDWbN6IjqWiupaK6jqO1NRRUe1elTW1X14cPC+3/qvLiytrOFhcSWXNl8u6x8fw3bOHclXGAN9jMwHV1hp9GvC656ZKFDBHVd8TkdsAVPVR4B1cj5vtuO6VmW08pjEdX0yMu9F5+eVw991uzJjDTfRXiI6GPn2avgg0fiUnH9tN0/x8d3H56CP46U+J+M1vSI6IwKZJD0/2wJQxgVJV5WZa2r//q699+776ubj4f7eNi3MJ39sFISEBNm92N12zs93sTjfdFPhzNQHX3jdjjTG+6NLFdcH0Nll2eTkcOND8hSAryy2rrPzfbbt2dTM6JSbCBx/A+PHtcy6mU7FEb0xHk5DgJt0+euLtxlTdeOtHXwT274cjR1zf/kGDAhay6dgs0RvTGYm4dvvkZBg5MtjRmA7Ohn4zxpgQZ4neGGNCnCV6Y4wJcZbojTEmxFmiN8aYEGeJ3hhjQpwlemOMCXGW6I0xJsR1yLFuRCQPaO3MI72AJme7CgF2bp1XKJ+fnVvHcJyqpjS1okMm+rYQkazmBvbp7OzcOq9QPj87t47Pmm6MMSbEWaI3xpgQF4qJfpb3Ip2WnVvnFcrnZ+fWwYVcG70xxpivCsUavTHGmEYs0RtjTIgLmUQvItNEZIuIbBeRnwQ7Hn8SkQEi8qGIbBSRDSJyV7Bj8jcRiRSRz0Xkv8GOxZ9EpJuIvCIim0Vkk4icEeyY/ElEvu/5m1wvInNFJDbYMbWWiMwWkVwRWd9oWQ8RmS8i2zw/uwczxtYKiUQvIpHAP4ELgJHAdSISStPu1AL3qOpI4HTgjhA7P4C7gE3BDqIdPAS8p6ojgJMJoXMUkX7A94AMVR0FRALXBjeqNnkKmHbUsp8AC1V1GLDQ87nTCYlED4wFtqvqTlWtBl4ALglyTH6jqgdUdZXnfSkuWfQLblT+IyL9ga8Djwc7Fn8SkWRgEvAEgKpWq2pRcKPyuyggTkSigHhgf5DjaTVVXQQUHLX4EuBpz/ungUsDGpSfhEqi7wfsbfQ5hxBKhI2JyCDgFGBZcCPxq78BPwbqgx2Inx0P5AFPepqlHheRhGAH5S+qug/4M5ANHACKVXVecKPyuzRVPeB5fxBIC2YwrRUqiT4siEgi8Cpwt6qWBDsefxCRC4FcVV0Z7FjaQRQwBnhEVU8ByumkX/2b4mmvvgR3QesLJIjIjcGNqv2o64veKfujh0qi3wcMaPS5v2dZyBCRaFySf15VXwt2PH40HrhYRHbjmtzOEZHnghuS3+QAOara8O3rFVziDxVTgF2qmqeqNcBrwJlBjsnfDolIHwDPz9wgx9MqoZLoVwDDROR4EYnB3RB6K8gx+Y2ICK6dd5Oq/jXY8fiTqt6nqv1VdRDu3+0DVQ2JWqGqHgT2ishwz6JzgY1BDMnfsoHTRSTe8zd6LiF0s9njLWCG5/0M4M0gxtJqUcEOwB9UtVZE7gTex935n62qG4Iclj+NB24C1onIas+yn6rqO0GMyfjmu8DzngrITiAzyPH4jaouE5FXgFW4nmGf04mHDBCRucBkoJeI5AC/AB4EXhKRW3BDp18dvAhbz4ZAMMaYEBcqTTfGGGOaYYneGGNCnCV6Y4wJcZbojTEmxFmiN8aYEGeJ3hhjQpwlemOMCXH/H2X5OFCvQ9fNAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2mj02ddxjTyr"
      },
      "source": [
        "# just to map o/p values \n",
        "op = dict(zip( train_data.class_indices.values(), train_data.class_indices.keys()))"
      ],
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8xRgvdZZfltN",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 298
        },
        "outputId": "20dde6d1-1350-4cd7-b671-cd711beeafdc"
      },
      "source": [
        "# path for the image to see if it predics correct class\n",
        "\n",
        "path = \"/content/test/angry/PrivateTest_1054527.jpg\"\n",
        "img = load_img(path, target_size=(224,224) )\n",
        "\n",
        "i = img_to_array(img)/255\n",
        "input_arr = np.array([i])\n",
        "input_arr.shape\n",
        "\n",
        "pred = np.argmax(model.predict(input_arr))\n",
        "\n",
        "print(f\" the image is of {op[pred]}\")\n",
        "\n",
        "# to display the image  \n",
        "plt.imshow(input_arr[0])\n",
        "plt.title(\"input image\")\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            " the image is of neutral\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "woVkimceN8Jr"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}