Deep_Learning/MNIST Digit Classification using Neural Networks/model/ANN_Handwritten_Digit_Classification.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "6W1Cd-uPXzQ5"
      },
      "outputs": [],
      "source": [
        "import tensorflow as tf\n",
        "from tensorflow import keras\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "(x_train, y_train), (x_test, y_test) = keras.datasets.mnist.load_data()"
      ],
      "metadata": {
        "id": "H-tTUWDtgw1y",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6805cb97-7fbc-4a42-ff44-be88b322bb12"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
            "11490434/11490434 [==============================] - 0s 0us/step\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x_train.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SQnGHo84QpKQ",
        "outputId": "3d67c757-53f9-4127-8912-615836faf549"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(60000, 28, 28)"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x1, y1 = np.unique(y_train, return_counts=True)"
      ],
      "metadata": {
        "id": "vHL7sAz08Qrp"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# labels\n",
        "x1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "rTjDh3CM8Tiq",
        "outputId": "f5788740-36ce-415c-ffa5-fd67c0948dda"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# frequency distribution\n",
        "y1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gMm7eFgj8WPy",
        "outputId": "5beeed96-bae5-444d-8242-407a29165588"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([5923, 6742, 5958, 6131, 5842, 5421, 5918, 6265, 5851, 5949])"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.hexbin(x1, y1, gridsize=30, cmap='Blues')\n",
        "\n",
        "# Adding labels and title\n",
        "plt.xlabel('Labels')\n",
        "plt.ylabel('Frequency')\n",
        "plt.title('2D Histogram (Hexbin Plot)')\n",
        "\n",
        "# Adding colorbar\n",
        "plt.colorbar()\n",
        "\n",
        "# Display the plot\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "EqnuClUn8bmw",
        "outputId": "9bf164d5-0826-4ea7-af09-4c5febaed367"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.pie(y1, labels = x1)\n",
        "plt.title(\"Pie chart to show variation in classes\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 428
        },
        "id": "grzl7zkj8ddJ",
        "outputId": "57470236-79fa-4c00-ce6b-ca90e1fb0f1e"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.bar(x1, y1, width = .5);\n",
        "plt.title(\"Number of Images by Class\");\n",
        "plt.xlabel('Class Name');\n",
        "plt.ylabel('# Images');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "pPQbslhQ8hfh",
        "outputId": "acaf0fef-9032-4016-ba05-907ff6c4b2c9"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.matshow(x_train[2])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 454
        },
        "id": "vwgOLwRzQtKg",
        "outputId": "677af12a-1a12-4c12-98b2-815e84e0ca55"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x784681c17bb0>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#Scaling\n",
        "x_train = x_train / 255\n",
        "x_test = x_test / 255"
      ],
      "metadata": {
        "id": "wRl3zPJGQ0Kj"
      },
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# flattening the data\n",
        "x_train_flattened = x_train.reshape(len(x_train),28*28)\n",
        "x_test_flattened = x_test.reshape(len(x_test),28*28)"
      ],
      "metadata": {
        "id": "d5hv8ntnQ59F"
      },
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x_train_flattened.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HThYyyiVRB7U",
        "outputId": "218a4b1d-6f4e-4886-866a-7b90a3a74cf9"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(60000, 784)"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model = keras.Sequential([\n",
        "    keras.layers.Dense(100, input_shape = (784,), activation = 'relu'),\n",
        "    keras.layers.Dense(10,activation = 'sigmoid')\n",
        "])\n",
        "model.compile(optimizer = 'adam',\n",
        "              loss = 'sparse_categorical_crossentropy',\n",
        "              metrics = ['accuracy']\n",
        ")\n",
        "history = model.fit(x_train_flattened, y_train, epochs=10, validation_split=0.05)\n",
        "\n",
        "test_loss, test_acc = model.evaluate(x_test_flattened, y_test)\n",
        "print(f\"Test accuracy: {test_acc}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Yw6kkZnIRGrF",
        "outputId": "f3182268-d394-426d-b53a-e2cca0a10f9a"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "1782/1782 [==============================] - 15s 6ms/step - loss: 0.2787 - accuracy: 0.9213 - val_loss: 0.1180 - val_accuracy: 0.9690\n",
            "Epoch 2/10\n",
            "1782/1782 [==============================] - 9s 5ms/step - loss: 0.1239 - accuracy: 0.9633 - val_loss: 0.0883 - val_accuracy: 0.9777\n",
            "Epoch 3/10\n",
            "1782/1782 [==============================] - 6s 3ms/step - loss: 0.0868 - accuracy: 0.9737 - val_loss: 0.0808 - val_accuracy: 0.9817\n",
            "Epoch 4/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0663 - accuracy: 0.9794 - val_loss: 0.0747 - val_accuracy: 0.9797\n",
            "Epoch 5/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0508 - accuracy: 0.9845 - val_loss: 0.0715 - val_accuracy: 0.9817\n",
            "Epoch 6/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0424 - accuracy: 0.9869 - val_loss: 0.0886 - val_accuracy: 0.9777\n",
            "Epoch 7/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0340 - accuracy: 0.9896 - val_loss: 0.0738 - val_accuracy: 0.9800\n",
            "Epoch 8/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0276 - accuracy: 0.9918 - val_loss: 0.0721 - val_accuracy: 0.9813\n",
            "Epoch 9/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0239 - accuracy: 0.9929 - val_loss: 0.0827 - val_accuracy: 0.9803\n",
            "Epoch 10/10\n",
            "1782/1782 [==============================] - 5s 3ms/step - loss: 0.0190 - accuracy: 0.9944 - val_loss: 0.0844 - val_accuracy: 0.9810\n",
            "313/313 [==============================] - 1s 2ms/step - loss: 0.0730 - accuracy: 0.9777\n",
            "Test accuracy: 0.9776999950408936\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "test_loss, test_acc = model.evaluate(x_test_flattened, y_test)\n",
        "print(f\"Test accuracy: {test_acc}\")\n",
        "\n",
        "train_loss = history.history['loss']\n",
        "val_loss = history.history['val_loss']\n",
        "train_acc = history.history['accuracy']\n",
        "val_acc = history.history['val_accuracy']\n",
        "\n",
        "epochs = range(1, len(train_loss) + 1)\n",
        "\n",
        "plt.figure(figsize=(10, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(epochs, train_loss, 'g', label='Training loss')\n",
        "plt.plot(epochs, val_loss, 'b', label='Validation loss')\n",
        "plt.title('Training and Validation Loss')\n",
        "plt.xlabel('Epochs')\n",
        "plt.ylabel('Loss')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 539
        },
        "id": "H7HUar9I9PVI",
        "outputId": "881f2ddd-f555-487f-edc5-440b74759c81"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "313/313 [==============================] - 1s 3ms/step - loss: 0.0730 - accuracy: 0.9777\n",
            "Test accuracy: 0.9776999950408936\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7846601d77c0>"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(history.history['accuracy'])\n",
        "plt.plot(history.history['val_accuracy'])\n",
        "plt.title('model accuracy')\n",
        "plt.ylabel('accuracy')\n",
        "plt.xlabel('epoch')\n",
        "plt.legend(['train', 'test'], loc='upper left')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "v8jrfjXqM0DJ",
        "outputId": "dea784ec-3c0e-4dbd-b185-15d0b63432bb"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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jVl4pNFrhrudwspXB29EG7W57eDvawNtRgbYqBaQW4i6FwgBECA4ONvi8sLAQ8+fPx6+//opbt26hoqICJSUlSEpKuut5evbsqf/Y1tYW9vb2+u0uiIjIuKgrNLiRU1Lde6MPOCVIzi5Gobrirs+3trTQBxzvNorqsONkA+82NrC1Nu6IYdzVmQiFlRTnFoSL8rpN4c67ud544w3s2rULH3/8MTp06ACFQoFnnnkGZWVldz2PlZWVwecSiQRarbhdnERE5koQBGQUqquDTVZl2MnRhZ3U/FIId+/EgZu9tb7nRhd0dAGnnaMNXJTWsBC5F+d+MAA1AYlEUu+hKDHJZDJoNPeeq7R//35MnDgRI0eOBKDrEbp27VozV0dERA1VXFaB5Moem6Q7hqqSc4pReo95NjYyqUHAuX2oyquNAvIm+o+2MTL+d21qMj4+PoiPj8e1a9egVCrr7J3p2LEjtm7diuHDh0MikWDOnDnsySEiamEVGi0yC8uQll+K9AI10vJLkZZfajBUlVmovus5LCRAW5XitmCjMAg7jrYys92WiAHIjLzxxhuIjIxE165dUVJSgjVr1tTabvHixZg0aRL69+8PZ2dnvPXWW8jPz2/haomIWqdyjRaZhWqk56v14SbdIOSokV6gRlaR+p5DVABgL7fUD0sZDFU52sDDQQGZJVe8qY1EEOrz7TUv+fn5UKlUyMvLg729vcHXSktLcfXqVfj6+kIul4tUYevA7yURtSZ3Bpu0AjUy9IGm4cEGAKQWErgoreFmbw1Xezlc7awNenC829hAZWN17xOZibu9f9+JPUBERER3URVs0vJ1PTW3B5u0glKkVwacrKKyBgUbVztr3aMy2LjZy3VBx04O18o/nWxlJj3R2JgxABERkVmqLdik5+sCTWODjaWFBC4GoUYXZG4PNm72cjjaMNiIjQGIiIhaJUEQkJxdglMpubiUWqDvsUnLVyPjPoKNm521LshU9dTc1oPDYGM6GICIiMjkCYKAGzklOJ2Sh1M38nAmJQ+nU/KQV3LvLRlc7azhUhls3G4LMy63hRwGm9aHAYiIiEyKIAhIyS3Bmcqwc7oy7NS2/5RMaoEube3Q1cMeHiqFLuDcNizVhsHGbDEAERGR0RIEAbfySnUh50YeTqXoeneyi2quTG8llSDA3R49vFTo4al7dHKz423gVCsGICIiMgqCICAtX41TN3J1vTuVYSezsGbYsbSQoLO7HXp6qdDdU4Weng7o5K6EtWXrXbmYmhYDEBERiSItv9SgV+fUjbxaVzaWWkjQyc0OPT1V6O6lQk9PFTq727XqbRqo+YkegFasWIGPPvoIqampCAwMxLJly9CvX79a25aXlyMmJgZr165FSkoKOnfujA8++ACPP/64vk1BQQHmzJmDbdu2IT09Hb169cLSpUvRt2/flrokIiK6Q3pBqT7kVP2ZXlB72OnoqtQNYVUOZXVpa8+wQ01O1AC0adMmREdH47PPPkNISAiWLFmC8PBwXLx4Ea6urjXaz549G+vXr8cXX3yBgIAA7Ny5EyNHjsSBAwfQq1cvAMDzzz+PM2fOYN26dfDw8MD69esRFhaGc+fOwdPTs6UvkYjI7GQWqqvn7FQGntT80hrtLCRAB1cleng66Ieyura1h0LGsEPNT9StMEJCQtC3b18sX74cAKDVauHt7Y1p06ZhxowZNdp7eHhg1qxZmDJliv7YqFGjoFAosH79epSUlMDOzg4//vgjnnjiCX2bPn36YOjQoXj33XfrVVdr3Qpj8ODBCAoKwpIlS5rkfBMnTkRubi62b9/eqOeb8veSiHSyKsPO7b07N/Nqhh2JBOjgYtiz09XDHjYy0QciqBUxia0wysrKcPToUcycOVN/zMLCAmFhYYiLi6v1OWq1usYbpUKhwL59+wAAFRUV0Gg0d21T13nV6uquWG78SURUU05Rmf6W89OVt5+n5JbUaCeRAH7OtpVhxwE9PFXo5mEPW2uGHTIeov02ZmZmQqPRwM3NzeC4m5sbLly4UOtzwsPDsXjxYgwaNAj+/v6IjY3F1q1bodFoAAB2dnYIDQ3FO++8gy5dusDNzQ3fffcd4uLi0KFDhzpriYmJwX/+85+muzgjNHHiROzduxd79+7F0qVLAQBXr15FYWEh3nzzTfz999+wtbXFkCFD8N///hfOzs4AgM2bN+M///kPrly5AhsbG/Tq1Qs//vgjPvroI6xduxYAIJHo1tDYs2cPBg8eLMr1EVHTKqvQ4uSNXBy+lq3v3bmRUzPsALqw091TpR/G6uZhDzs5N+gk42ZScXzp0qWYPHkyAgICIJFI4O/vj6ioKKxevVrfZt26dZg0aRI8PT0hlUrRu3dvjB8/HkePHq3zvDNnzkR0dLT+8/z8fHh7e9e/MEEAyosbdU33xcpG91+teli6dCkuXbqE7t27Y8GCBbqnW1mhX79+eP755/Hf//4XJSUleOuttzBmzBj88ccfuHXrFsaPH48PP/wQI0eOREFBAf7++28IgoA33ngD58+fR35+PtasWQMAcHR0bLZLJaLmVaHR4lRKHuISsnAwMQtHruWgpFxTo52Pk01lr449eng6oJunPewZdsgEiRaAnJ2dIZVKkZaWZnA8LS0N7u7utT7HxcUF27dvR2lpKbKysuDh4YEZM2bAz89P38bf3x979+5FUVER8vPz0bZtW4wdO9agzZ2sra1hbW3d+IspLwYWejT++Y319k1AZluvpiqVCjKZDDY2Nvrv77vvvotevXph4cKF+narV6+Gt7c3Ll26hMLCQlRUVODpp59G+/btAQA9evTQt1UoFFCr1XX+vIjIeGm0As7dzEdcYibiErJw6Go2isoMA4+TrQz9fB0R6O2Anp4qdPNUQaVg2KHWQbQAJJPJ0KdPH8TGxuKpp54CoJsEHRsbi6lTp971uXK5HJ6enigvL8eWLVswZsyYGm1sbW1ha2uLnJwc7Ny5Ex9++GFzXIZJO3nyJPbs2QOlUlnjawkJCRgyZAgeffRR9OjRA+Hh4RgyZAieeeYZtGnTRoRqieh+aLUCLqYV4EBCVmXgyUJ+aYVBG5XCCiG+jgj1d0J/f2d0dFVymwhqtUQdAouOjkZkZCSCg4PRr18/LFmyBEVFRYiKigIAREREwNPTEzExMQCA+Ph4pKSkICgoCCkpKZg/fz60Wi2mT5+uP+fOnTshCAI6d+6MK1eu4M0330RAQID+nM3CykbXG9PSrGzu6+mFhYUYPnw4Pvjggxpfa9u2LaRSKXbt2oUDBw7g999/x7JlyzBr1izEx8fD19f3vl6biJqXIAi4kl6IuMQs/bBWzh17ZSmtLfWB5wE/J3Rpaw8pAw+ZCVED0NixY5GRkYG5c+ciNTUVQUFB2LFjh35idFJSEiwsqvdwKS0txezZs5GYmAilUolhw4Zh3bp1cHBw0LfJy8vDzJkzcePGDTg6OmLUqFF47733YGXVjN22Ekm9h6LEJJPJ9BPGAaB3797YsmULfHx8YGlZ+6+CRCLBgAEDMGDAAMydOxft27fHtm3bEB0dXeN8RCQeQRBwLasYcQlZ+tBz56rKNjIpgn0cEernhFB/J3T3sIellPtkkXkSdR0gY9Va1wF64YUXcOLECXz//fdQKpUoKytDUFAQHnroIUyfPh2Ojo64cuUKNm7ciC+//BJHjhxBbGwshgwZAldXV8THx+PZZ5/F9u3bMXToUCxcuBCrVq3C77//DicnJ6hUqgYFTVP+XhIZg+TsYn3YiUvIqrHYoLWlBfq0b4NQPyf07+CEnl4OsGLgoVbMJNYBopb3xhtvIDIyEl27dkVJSQmuXr2K/fv346233sKQIUOgVqvRvn17PP7447CwsIC9vT3++usvLFmyBPn5+Wjfvj0WLVqEoUOHAgAmT56MP//8E8HBwSgsLORt8ETN7FZeiT7sxCVm1bgt3UoqQS/vNgj11/XwBHk7cAsJojqwB6gWrbUHyNjwe0l0d+kFpTiYmF0ZejJxLctwuQ2phQSBXipd4PFzRp/2bbiNBJk19gAREZmg7KIyxCdm6e7USszClfRCg69bSIDuniqE+jnhAX8n9PVxhJKrKxM1Cv/mEBGJJK+kHPGJ1ZOWL6QW1GjTpa29bg6PvxP6+jpyHR6iJsIARETUQgrVFTh8NVsfeM7czMOdkxA6uSn1d2mF+Dqhja1MnGKJWjkGICKiZlJSpsGR69n6xQdPp+RBozVMPH7OtnjA30k3rOXnBBe7+1iVnojqjQGokTh3/P7xe0itTXp+KY4n5+Jksm4T0RPJuSjXGP6eezsq9D08oX7OcFfxBgAiMTAANVDVOjfFxcVQKBQiV2Paiot1d7Q06yKVRM2kpEyD0yl5OJGcgxPJuTiRlIubeaU12rVVySvDji70eLW5vxXciahpMAA1kFQqhYODA9LT0wEANjY2kNRzR3bSEQQBxcXFSE9Ph4ODA6RS3rZLxk2rFXAloxAnknJxPDkXJ5JzcSmtoMZwlkQCdHK1Q6C3Cr3btcEDfk5o78R/I4iMEQNQI1Ttfl4VgqhxHBwcuJM8GaX0/FJdr07l49SNPBSqK2q0c7WzRpC3A4LaOSDI2wE9vRx4WzqRieDf1EaQSCRo27YtXF1dUV5efu8nUA1WVlbs+SGjUN+hLIWVFD28VOjl7aAPPe72cvbuEJkoBqD7IJVK+SZOZELuHMo6mZyLi/cYygryboMgbwd0clNy41CiVoQBiIharfSCUpxI4lAWEdXEv+FE1CpwKIuIGoIBiIhMjn4oq2qichKHsoioYRiAiMjocSiLiJoa/2UgIqNy51DWyeQ8pOSW1Gh351BWoLcD2qo4lEVE9cMARESiEwQBBxKysPLPBMQlZnEoi4iaHQMQEYlGqxWw63waPt1zBSdv5OmPcyiLiJob/0UhohZXodHi51M38emeBFxOLwQAWFtaYHy/dpjY34fbRxBRs2MAIqIWU1quwQ9Hb2DV3gTcyNHN67GztkRE//aIGuALZ6W1yBUSkblgACKiZldQWo4N8Un48u+ryCxUAwCcbGWYNNAXz4W2h73cSuQKicjcMAARUbPJLirD1/uv4usD15Bfqrtt3dNBgRcG+WFMsDcUMm4lQ0TiYAAioiZ3K68EX/x1Fd8dSkJJuQYA4Odii5cHd8CIIA9Y8e4tIhIZAxARNZmrmUX47M8EbD1+A+Ua3a3sPTxVeHmwP4Z0c4fUghObicg4MAAR0X07ezMPK/9MwP9O30LVEj4hvo6Y8nAHPNjRmXd0EZHRYQAiokY7ci0bK/ZcwZ6LGfpjjwa44uWH/dGnvaOIlRER3R0DEBE1iCAI2HspA5/uScCha9kAAAsJ8GRPD7w02B9d2tqLXCER0b0xABFRvWi0AnaeTcWKPVdw9mY+AMBKKsEzfbzwr0H+8HG2FblCIqL6YwAiorsqq9Bi+4kUfPZnAhIziwDoNiKdENIOzz/oB3eVXOQKiYgajgGIzFNFGXBlF3B2G6CtANy6AW49APfugL2nbvdNM1dSpsHGw0n44q9E3MwrBQCoFFaI7O+DqP4+aGMru/8XEQQgPwVIPQOknQbSzgISKdD9aaDDY4BlE7wGEVEtGIDIfAgCcPM4cPI74PRmoCS7+mtnt1V/rGgDuHXXPdwrQ5FLAGBpHts05JWUY/3B61i97yqyisoAAC521pj8oC/+L6R94zclrVADGRd0YSf1NJB2RvcoyanZ9sxmQOEI9HgGCBwHePRmKKXG0VQABbeA4kzd75TSFbBSiF0VGQGJIAiC2EUYm/z8fKhUKuTl5cHenhM6TV7eDeDU98DJjUDmxerjSjegx2jA1kX3Rpx6Bsi8BAiamuewsAScO1WGotvCkdK15a6jmWUUqLF6/1Wsj7uOArVu1WZvRwVefMgfo3p7QW7VgFWbC9OrQ05qZdDJvKTrbbuTRKr73lZ9X4sygNM/AIVp1W2cO+uCUM8xgMrrPq+UWpUKte7veF4ykJsM5CYZfpyfUvPvtLW97u+90g1QVv3pCti6Gh6zdTGb//i0Fg15/2YAqgUDUCugLgTO/6zr7bn6F4DKX3NLORDwJBA4HvAbDEjv6M0oL9X1Utz+xp16GijNrf11bF0NA5Fbd8C5IyA1nb2tbuQU4/O/ErHpcDLUFVoAQCc3JaY83AFP9GgLy7ut2qwpBzIvV3+fqr5vRem1t5c7VH+fqr5vLgGA1R3ziDQVQOKfup/fhV+AitLKL0gA30G6n1+X4YC18n4vn4xdWXF1oMlL0oWa24NOQSr0f7/rYmEF2Djpehs16oa9vtxBF46qApFBQHKt/Jqr7msm9Pe+WWg1QGme7qHOr/64NL/24+37A6FTmrQEBqD7xABkorQaXdg5uRE4/xNQXlz9tfYDdT0IXUcA8gb+TO+cp1IVjLISUOs/vFKZ7k39zjd6G+NaF+dKegFW/pmIH0+koKJy9cIgbwdMebgDHg1whcWdqzYXZ9cMhhkXAE1ZLWeXAE7+t13/fcyvKs0Hzv2o+7le31d93MoG6PIP3c/VdxBgwX3FTFJpXmW4qQw1+h6cyqBTnHnvc1jKAYd2gMpb96eDN6BqV/2x0k33+yEIutcrytD1MBam6x5F6ZWfVx6v+nptPZZ3o3Cs7k26W2iydTbO39cK9R2hJbf+YaY0HygraNjrdXsaGL2mSS/BpALQihUr8NFHHyE1NRWBgYFYtmwZ+vXrV2vb8vJyxMTEYO3atUhJSUHnzp3xwQcf4PHHH9e30Wg0mD9/PtavX4/U1FR4eHhg4sSJmD17dr1Xo2UAMjHpF3Q9Bae+BwpuVh939Nf1FPQcA7Rp3/SvW1YEpJ+vOdRTVlh7e3vPmkNojn4t/g/hqRu5+HRPAnaeS0XV3/6BHZzx8sP+CPVzgkTQAtmJNa8rP6X2E8qUNa/LtQsga4bb4nOuVw5nfgdkJ1Qft/PQ/ZwDxwOuAU3/utQ4gqALznl39NpUhZu8JN2b573I7KrDjD7oVH3cThcomnqOmCDoeowK0w1DUW2hqSij9qHzukgsdD1StQUkg2OuulBlUY+98wRB929SjWByx+NuYUbf03qfrGwAuUr3sLav/lhub3jcuRPg+2DTvGYlkwlAmzZtQkREBD777DOEhIRgyZIl+OGHH3Dx4kW4utacW/HWW29h/fr1+OKLLxAQEICdO3ciOjoaBw4cQK9evQAACxcuxOLFi7F27Vp069YNR44cQVRUFN577z288sor9aqLAcgEFGXqJjKf/A64daL6uNwB6D5K90boFdzyE2e1WiD32m29JJW9RrlJtbe3stGFhduH0Ny6NbyX6h4EQcDBxGx8+ucV/H25+n/UI7ooMa1rGToI16oDT/p5w96z2zm0q+7NqQo9Dj71+we6KQkCcOOI7ud/ZovhEGXbIN3Pv8czujdGaj5arS4I5CYDuddrn4dTXnTv8ygcK3ttvAGH9jWDjtzBuCfBa7W6myrq06tUlIl7DtndTiKtDESu1YGovLj2MNOQEFb3C949tNR2XP81B91xEYcCTSYAhYSEoG/fvli+fDkAQKvVwtvbG9OmTcOMGTNqtPfw8MCsWbMwZUr1mOGoUaOgUCiwfv16AMCTTz4JNzc3fPXVV3W2uRcGICNVXgpc2qEbCrmyq7p72sIS6BiuGwrpFG6ckxZL83S3eN8+jJZ+Hqgoqb29Q/uaQ2htfBr8JiAIAv64kI4Vf1xGxo1L6CpJQldpEh5RpaGzJAmygjqCmaVCF8xuH75y66b7h87YVKiBSzt1Yejy74a/Fx0eq/y9eLzmPCO6N61W1/N3Z6+N/uMb9ZtTo3S7Y3jqtqCj8javuVyaCqA4qzIMpVcHptpC0+13qtaXhWUtwURV+6O2QCOza/n/0DShhrx/i3YbfFlZGY4ePYqZM2fqj1lYWCAsLAxxcXG1PketVkMuN/xHTKFQYN++6nkB/fv3x+eff45Lly6hU6dOOHnyJPbt24fFixfXWYtarYZaXf2XOD8/v7GXRU1NEIAbh2/7n/5t3eUevYDA/9OtGWPs/9OXq3QT/tr3rz6m1ejmEd0+ryj1jG4YL/e67nHhl+r2MjtdCNH3vvSsHGqyMXytsmJUpJ7BmWP7kXzuENxLr2CtJBl21reFrdtH6ew8DHt03Hro5u8Y4xyF2lhaA13/oXsUZep+T05+p1vy4NJvuodcpZtvEDge8O5n3L0JYirKBFKO6nrXUo7oPr7XEJXEQvc7ZBBubpuHo/Ji+Lyd1BKwc9M97kVTXtlzdFtAKs7WDS/XFWasFPz9rifRAlBmZiY0Gg3c3Ax/Cdzc3HDhwoVanxMeHo7Fixdj0KBB8Pf3R2xsLLZu3QqNprrbb8aMGcjPz0dAQACkUik0Gg3ee+89TJgwoc5aYmJi8J///KdpLoyaRs612+Z6JFYft/fUzfXoOc7053pYSAGXTrpH91HVx4uyqtfIqeoxyriom2CYfFD3qCKx0M11cu8OANDeOg1JdgIsISAIQBAAVP5nTpDKIHHpbDiE5dYdsHVqmettCbbOQMi/dI/0C8Cpjbrfo/wU4Oga3aONry4IBY7V9aqZq/JSIPVUddi5cUQXuu9kYQWoPKvn29w5PGXvybufmovUCrD30D2oyYk2BHbz5k14enriwIEDCA0N1R+fPn069u7di/j4+BrPycjIwOTJk/Hzzz9DIpHA398fYWFhWL16NUpKdP+73bhxI95880189NFH6NatG06cOIHXXnsNixcvRmRkZK211NYD5O3tzSGwllaad9vdPvurj1vZ6v53HzgO8HnQdHommpKmXLeOzp13ohVl1No8Q7DHFYkPrD0DERAUCpt2QboJh+b4RqXVANf+1v1enfvJcE5Ku/6636tuTxnn8F5T0Wp1k8Zv79lJPQNoy2u2de4EeAYDXn10f7p1M8/fGzJJJjEHqKysDDY2Nti8eTOeeuop/fHIyEjk5ubixx9/rPO5paWlyMrKgoeHB2bMmIFffvkFZ8+eBQB4e3tjxowZBvOE3n33Xaxfv77OnqU7cQ5QC9JUAIl7Ktd7+dVwvRe/h3T/Uw940rzmCDRAac5N7Nn7By6djENxmQbnhXbItO2EZx7qg3H9vGEj42LvBtSFumHFk98BiXthsD5U52G63zf/R2quD2Vq6juUZeuiCzmefXSBx6M3oHBo8XKJmopJzAGSyWTo06cPYmNj9QFIq9UiNjYWU6dOvetz5XI5PD09UV5eji1btmDMmDH6rxUXF8PijglcUqkUWq22ya+B7kPqad3/yE99b7honnNnIGg80GOMrtudalWu0eL7I8n4JPYy0vLbABgGHycbvDTYHyN7eUFmabqTGJuVtVLX4xM4DshLAU5/D5z4TrdC+Nmtuoetq26F8MBxQNueYld8b/UdyrKUA20DDXt3HNpxvgiZLVH/mxMdHY3IyEgEBwejX79+WLJkCYqKihAVFQUAiIiIgKenJ2JiYgAA8fHxSElJQVBQEFJSUjB//nxotVpMnz5df87hw4fjvffeQ7t27dCtWzccP34cixcvxqRJk0S5RrpNQapui4OTG3XDN1VsnG57wwniP8h3odEK+OlkCv676zKSsnW3qns6KPBqWEc83cvz7qs2kyGVJzDwdWDAa7qlFE5u1P1+FqUDB1foHm7ddb+XPUYDdu5iV8yhLKImJGoAGjt2LDIyMjB37lykpqYiKCgIO3bs0E+MTkpKMujNKS0txezZs5GYmAilUolhw4Zh3bp1cHBw0LdZtmwZ5syZg5dffhnp6enw8PDAv/71L8ydO7elL48A3TL2F/+nG3JI+AMQKnvipDKg81DdkEOHMP7DfA+CIGDn2TQs3nURl9J0t3A5K60x9WF/jA9pB2tLM5wX1VQkEt0dhR69gCHvAld2635fL/6mC+q/zwZ2zdUNjQWO1w2V3XnnXXPhUBZRsxF9JWhjxDlA90mrBZIO6N5Ezv5ouDy6d0jlpNORul3X6a4EQcDflzOx6PeLOHlD98ZnL7fEi4P9MbG/D+f4NKeSHODsNl3PUPJtN2XI7IBuI3RhqF3/plszhUNZRPfNJCZBGzMGoEbKvKK77fjkJt1iaVUc2uluWw8cp1tfhurlyLVsfLTzIuKv6hZDs5FJ8c+Bvnj+QT+oFOwxa1FZCZVz1jYaruqtaqe7nb7nOMC5Q/3Px6EsombBAHSfGIAaoDi7+n/JNw5VH5fZ6W4tDhwPtAs16ZVFW9rZm3lY9Psl/HFBNzlcZmmBZ0Pa4+WH/eGsNMJVrs2JVgskxVX2bm437N306lvZu/l0zY1v6zuUZeOs28KlKvBwKIuoQRiA7hMDUD1c3g0cW6vbmqJqN3CJBeD/qO5NIOAJ3YqkVG8JGYVYvOsSfj11CwAgtZBgTLAXpj3SER4O/F4aHf38to1AQqzh/LZO4boQUzWkxaEsohbBAHSfGIDuokIN/O9NXfip4tbjtjtl6rG8Oxm4kVOMpbsvY8uxG9AKuve/fwR64LWwTvB1boYd1anpFaRWbs67UbdQZW04lEXU7BiA7hMDUB3ybwKbntN14UMC9HsB6P2cbtNOarD0glKs+OMKvj2UhHKN7q9hWBc3/HtIJ3Rpy987k1W1xlXudcA9kENZRC3IJBZCJBNzPQ74PkK3RorcAXjmK93t69RgucVlWPVXItbsv4rSct2wyYAOTnhjSGf0asc740yeew/+p4DIBDAA0d0JAnD4S2DHDEBboVsYbux6wNFX7MpMTqG6Amv2XcXnfyWiQF0BAOjVzgFvDumM/h2MfDd7IqJWhgGI6lZeCvwaDZzYoPu8+yjgH8sAGeelNERpuQbrD17Hyj8TkFWkmzAe4G6HN8M745EAV0g46ZWIqMUxAFHtcpOB758Dbh7X3d312AIgdCrvUGmAco0Wm4/ewCexl3ErT7fJq6+zLV5/rBOe7NEWFhb8XhIRiYUBiGq6+hfww0SgOAtQOAKj1wB+g8WuymRotQJ+PnUTi3ddwvUs3X5dHio5Xg3riFG9vbhfFxGREWAAomqCABxcqdv7SNAA7j2BcRt0a5PQPQmCgF3n0rB41yVcSNUtkOeslGHKwx0wvl87yK24XxcRkbFgACKdsmLg51d0u2EDuqX9hy/hYob1tP9KJj7ceREnk3MBAHZyS7z4kG6/Lltr/jUjIjI2/JeZgJxrwKZndeuXSKRA+EIg5F+c71MPR6/n4OOdFxGXmAUAUFhJMWmgD1540B8qGy5yR0RkrBiAzF3CH8DmSbqdr22cgTFrAZ+BYldl9M7dzMei3y8itmq/LqkFJjzQDi8P7gAXO+7XRURk7BiAzJUgAPuXArH/0e1h5NEbGLsOUHmJXZlRS8woxH93X8bPJ28C0O3X9UxvL7wS1hGe3K+LiMhkMACZo7Ii4Mcpul3cASDoWeCJRYCVXNy6jFhKbgk+2X0Zm4/dgEar27ZieKAHXg/rCD8XpcjVERFRQzEAmZusBN18n/RzgIUVMPR9IPifnO9Th4wCNVbsuYJv45NQptFtWxHWxRXRj3VGVw/u10VEZKoYgMzJ5V3Aln8CpXmA0g0Y8w3Q7gGxqzJKecXl+PzvBKzedw0l5RoAQKifE94I74w+7blfFxGRqWMAMgeCAPz9MfDHewAEwKufLvzYtxW7MqNTpK7A1weuYdXeBOSX6vbrCvR2wPTwzhjA/bqIiFoNBqDWTl0AbHsRuPCL7vM+UcDQDwBL3ql0u9JyDb6NT8Knf15BZqFuv67Obnb495BOeKyrG/frIiJqZRiAWrPMy8DGCUDmRUAqA4Z9DPSJFLsqo1Kh0WLLsRtYuvsyblbu1+XjZKPbr6unB6Tcr4uIqFViAGqtLvwP2PYvQJ0P2HnobnH3Cha7KqNyI6cYk74+jEtphQAAd3vdfl3P9PGCFffrIiJq1RiAWhutFtj7AbD3fd3n7UKB0WsBOzdx6zIyVzOLMOGLg7iZVwpHW91+XRNCuF8XEZG5YABqTUrzgK0vAJd26D7v9wIw5D3AUiZuXUbmYmoBJnwZj8xCNfxdbLHh+QfgruIaSERE5oQBqLVIvwBs/D8gOwGQWus2Mg36P7GrMjqnb+QhYnU8corL0aWtPdb9sx+clZwQTkRkbhiAWoNzPwHbXwLKCgF7L2DcesCjl9hVGZ0j17IRteYwCtQVCPJ2wNqoftywlIjITDEAmTKtBtjzHvD3It3nPg8Co78GbLlezZ32X8nE82uPoKRcg36+jlg9sS+U1vz1JyIyV3wHMFUlOcCW54Eru3WfPzAFeGwBIOWP9E5/XEjDi+uPoaxCi0GdXLDq2T5QyDjZmYjInPHd0hSlngE2TQByrgGWCuAfy4Ceo8Wuyij9euoWXt14HBVaAUO6umHZ//WCtSXDDxGRuWMAMjVntgA/TgXKiwGHdsDYDUDbnmJXZZS2HL2BNzefhFYA/hHogUVjArm+DxERAWAAMh2aCiD2P8CBT3Sf+z0MPLMasHEUty4jte7gdczZfgYAMDbYGwuf7sFVnYmISI8ByBQUZQGbo4Cre3WfD3gNeHQuYMGhnNp88Vci3vvfeQDAxP4+mPtkV1gw/BAR0W0YgIzdrZPAxmeBvCTAygYYsQLo/rTYVRklQRDwSewV/Hf3JQDAy4P98WZ4Z25kSkRENTAAGbOTm4CfXwEqSoE2vsC4DYBbN7GrMkqCIOD9HRewam8iAODN8M6Y8nAHkasiIiJjxQBkjDTlwO9zgPiVus87PAaM+gJQtBG3LiOl1QqY//NZfBN3HQAw58mu+OdAX5GrIiIiY2YUt8SsWLECPj4+kMvlCAkJwaFDh+psW15ejgULFsDf3x9yuRyBgYHYsWOHQRsfHx9IJJIajylTpjT3pdy/wgzgm6eqw8+gN4H/28TwUweNVsD0LafwTdx1SCRAzNM9GH6IiOieRA9AmzZtQnR0NObNm4djx44hMDAQ4eHhSE9Pr7X97NmzsWrVKixbtgznzp3Diy++iJEjR+L48eP6NocPH8atW7f0j127dgEARo828rVyUo4Cnz8EXN8HyJTA2PXAI7M52bkO5RotXtl4HJuP3oDUQoL/jgnC+H7txC6LiIhMgEQQBEHMAkJCQtC3b18sX74cAKDVauHt7Y1p06ZhxowZNdp7eHhg1qxZBr05o0aNgkKhwPr162t9jddeew2//PILLl++XK8Jsfn5+VCpVMjLy4O9vX0jr6yBjm8Afnkd0KgBpw7AuG8Bl84t89omqLRcg6nfHsPu8+mwkkqwbHxvPN7dXeyyiIhIRA15/xa1B6isrAxHjx5FWFiY/piFhQXCwsIQFxdX63PUajXkcrnBMYVCgX379tX5GuvXr8ekSZPqDD9qtRr5+fkGjxZTUQb8+m/gx5d14afTUGDyHww/d1FcVoHn1x7B7vPpsLa0wOcRwQw/RETUIKIGoMzMTGg0Gri5uRkcd3NzQ2pqaq3PCQ8Px+LFi3H58mVotVrs2rULW7duxa1bt2ptv337duTm5mLixIl11hETEwOVSqV/eHt7N/qaGqQgDVg7HDj8pe7zwW/ren7kqpZ5fROUX1qOiK8OYd+VTNjIpPg6qh8e7uwqdllERGRiRJ8D1FBLly5Fx44dERAQAJlMhqlTpyIqKgoWFrVfyldffYWhQ4fCw8OjznPOnDkTeXl5+kdycnJzlV8t+bBuvk/yQcDaHhi/CRj8FlDHdRCQU1SGZ7+Mx5HrObCTW2L98yEI9XcSuywiIjJBot4G7+zsDKlUirS0NIPjaWlpcHevfUjDxcUF27dvR2lpKbKysuDh4YEZM2bAz8+vRtvr169j9+7d2Lp1613rsLa2hrW1deMvpKGOrAH+9yagLQecO+t6fZy5Zs3dpBeU4rkvD+FiWgEcbWX4ZlI/dPdkTxkRETWOqN0NMpkMffr0QWxsrP6YVqtFbGwsQkND7/pcuVwOT09PVFRUYMuWLRgxYkSNNmvWrIGrqyueeOKJJq+9USrUwE+vAL+8pgs/XYYDk2MZfu7hZm4Jxq06iItpBXC1s8amFx5g+CEiovsi+kKI0dHRiIyMRHBwMPr164clS5agqKgIUVFRAICIiAh4enoiJiYGABAfH4+UlBQEBQUhJSUF8+fPh1arxfTp0w3Oq9VqsWbNGkRGRsLSUvTL1PkzBji2FoAEeHQOMDAa4DYNd3U9qwj/90U8UnJL4OmgwLeTQ9DeyVbssoiIyMSJngzGjh2LjIwMzJ07F6mpqQgKCsKOHTv0E6OTkpIM5veUlpZi9uzZSExMhFKpxLBhw7Bu3To4ODgYnHf37t1ISkrCpEmTWvJy7m7g68C1fcBDM4COYfdub+aupBdgwpfxSMtXw9fZFuufD4Gng0LssoiIqBUQfR0gY9Ss6wAJAnt96uHszTxEfHUIWUVl6Oxmh3XP94OrnfzeTyQiIrPVkPdv0XuAzA7Dzz0dT8pB5OpDyC+tQA9PFb6Z1A9tbGVil0VERK0IAxAZlfjELEz6+jCKyjTo074N1kT1hb3cSuyyiIiolWEAIqOx91IG/rXuCErLtejv74QvIoJha81fUSIianp8dyGjsPNsKqZ9exxlGi0eCXDFpxN6Q27FTWCJiKh5MACR6H48kYLo709CoxUwrIc7loztBZklV8QmIqLmwwBEotp0OAkztp6GIABP9/bEh6N6wlLK8ENERM2LAYhEs2b/Vfzn53MAgAkh7fDOiO6wsOBdckRE1PwYgEgUK/ZcwUc7LwIAJj/oi7eHdYGESwQQEVELYQCiFiUIAj7+/SJW7EkAALz6aEe8FtaR4YeIiFoUAxC1GEEQsOCXc1iz/xoAYObQAPzrIX9xiyIiIrPEAEQtQqMVMGvbaWw8nAwAeGdENzwX6iNuUUREZLYYgKjZVWi0+PcPJ/HjiZuwkAAfjOqJ0cHeYpdFRERmjAGImpW6QoNXvjuOnWfTYGkhwX/HBmF4oIfYZRERkZljAKJmU1KmwYvrj2LvpQzIpBb4dEJvhHV1E7ssIiIiBiBqHoXqCjy/9jAOJmZDYSXFFxHBGNjRWeyyiIiIADAAUTPIKy7HxK8P4XhSLpTWllgT1Rd9fRzFLouIiEiPAYiaVFahGs99dQjnbuXDwcYK30zqh55eDmKXRUREZIABiJpMWn4pJnwZjyvphXBWyrD++RAEuNuLXRYREVENDEDUJJKzizHhy3gkZRejrUqODc+HwM9FKXZZREREtWIAovuWmFGIZ7+Mx828UrRztMGG50Pg7WgjdllERER1smjMk/bs2dPUdZCJuphagDGrDuJmXin8XWzx/b9CGX6IiMjoNSoAPf744/D398e7776L5OTkpq6JTMTpG3kY+3kcMgvV6NLWHpv+FQp3lVzssoiIiO6pUQEoJSUFU6dOxebNm+Hn54fw8HB8//33KCsra+r6yEgduZaN//viIHKLyxHo7YDvJofAWWktdllERET10qgA5OzsjNdffx0nTpxAfHw8OnXqhJdffhkeHh545ZVXcPLkyaauk4zIrbwSRKw+hAJ1Bfr5OmL9P/vBwUYmdllERET11qgAdLvevXtj5syZmDp1KgoLC7F69Wr06dMHDz74IM6ePdsUNZKR2XUuDcVlGnRpa4+1Uf1gJ7cSuyQiIqIGaXQAKi8vx+bNmzFs2DC0b98eO3fuxPLly5GWloYrV66gffv2GD16dFPWSkbiwJUsAMATPdyhkElFroaIiKjhGnUb/LRp0/Ddd99BEAQ899xz+PDDD9G9e3f9121tbfHxxx/Dw4O7frc2Gq2AuERdAOrfgXt7ERGRaWpUADp37hyWLVuGp59+GtbWtU98dXZ25u3yrdD5W/nIKymH0toSPT1VYpdDRETUKI0KQLGxsfc+saUlHnroocacnozY/iuZAIAQX0dYSu97ChkREZEoGvUOFhMTg9WrV9c4vnr1anzwwQf3XRQZrwMJuuGvUH8nkSshIiJqvEYFoFWrViEgIKDG8W7duuGzzz6776LIOJVVaHHoajYAYADn/xARkQlrVABKTU1F27Ztaxx3cXHBrVu37rsoMk4nb+SipFwDR1sZOrvZiV0OERFRozUqAHl7e2P//v01ju/fv593frViVfN/Qv2dYGEhEbkaIiKixmvUJOjJkyfjtddeQ3l5OR555BEAuonR06dPx7///e8mLZCMR9X8n/6c/0NERCauUQHozTffRFZWFl5++WX9/l9yuRxvvfUWZs6c2aQFknEoLqvA8aQcAEB/f87/ISIi09aoITCJRIIPPvgAGRkZOHjwIE6ePIns7GzMnTu3wedasWIFfHx8IJfLERISgkOHDtXZtry8HAsWLIC/vz/kcjkCAwOxY8eOGu1SUlLw7LPPwsnJCQqFAj169MCRI0caXBtVO3ItB+UaAR4qOXycbMQuh4iI6L7c10IuSqUSffv2Rffu3etcEPFuNm3ahOjoaMybNw/Hjh1DYGAgwsPDkZ6eXmv72bNnY9WqVVi2bBnOnTuHF198ESNHjsTx48f1bXJycjBgwABYWVnht99+w7lz57Bo0SK0adOm0ddJwP6Eqvk/zpBIOP+HiIhMm0QQBKExTzxy5Ai+//57JCUl6YfBqmzdurVe5wgJCUHfvn2xfPlyAIBWq4W3tzemTZuGGTNm1Gjv4eGBWbNmYcqUKfpjo0aNgkKhwPr16wEAM2bMwP79+/H333835rIAAPn5+VCpVMjLy4O9vX2jz9Oa/GP5Ppy6kYfFYwLxdG8vscshIiKqoSHv343qAdq4cSP69++P8+fPY9u2bSgvL8fZs2fxxx9/QKWq3/YIZWVlOHr0KMLCwqqLsbBAWFgY4uLian2OWq2GXC43OKZQKLBv3z795z/99BOCg4MxevRouLq6olevXvjiiy/uWotarUZ+fr7Bg6rlFZfjTEoeAM7/ISKi1qFRAWjhwoX473//i59//hkymQxLly7FhQsXMGbMGLRr165e58jMzIRGo4Gbm5vBcTc3N6Smptb6nPDwcCxevBiXL1+GVqvFrl27sHXrVoO1hxITE7Fy5Up07NgRO3fuxEsvvYRXXnkFa9eurbOWmJgYqFQq/cPb27te12AuDl7NglYA/Fxs4a6S3/sJRERERq5RASghIQFPPPEEAEAmk6GoqAgSiQSvv/46Pv/88yYt8HZLly5Fx44dERAQAJlMhqlTpyIqKgoWFtWXodVq0bt3byxcuBC9evXCCy+8gMmTJ991heqZM2ciLy9P/0hOTm62azBFcbz9nYiIWplGBaA2bdqgoKAAAODp6YkzZ84AAHJzc1FcXFyvczg7O0MqlSItLc3geFpaGtzd3Wt9jouLC7Zv346ioiJcv34dFy5cgFKphJ+fn75N27Zt0bVrV4PndenSBUlJSXXWYm1tDXt7e4MHVataAHEAh7+IiKiVaFQAGjRoEHbt2gUAGD16NF599VVMnjwZ48ePx6OPPlqvc8hkMvTp08dgZ3mtVovY2FiEhobe9blyuRyenp6oqKjAli1bMGLECP3XBgwYgIsXLxq0v3TpEtq3b1/fy6PbpBeU4nJ6ISQS4AE/9gAREVHr0KiFEJcvX47S0lIAwKxZs2BlZYUDBw5g1KhRmD17dr3PEx0djcjISAQHB6Nfv35YsmQJioqKEBUVBQCIiIiAp6cnYmJiAADx8fFISUlBUFAQUlJSMH/+fGi1WkyfPl1/ztdffx39+/fHwoULMWbMGBw6dAiff/55sw7NtWZVw19d29qjja1M5GqIiIiaRoMDUEVFBX755ReEh4cD0N25Vdst6/UxduxYZGRkYO7cuUhNTUVQUBB27NihnxidlJRkML+ntLQUs2fPRmJiIpRKJYYNG4Z169bBwcFB36Zv377Ytm0bZs6ciQULFsDX1xdLlizBhAkTGlWjuTtwhfN/iIio9WnUOkA2NjY4f/58qx1W4jpA1QZ+8Adu5JRgTVRfPNzZVexyiIiI6tTs6wD169cPJ06caMxTyYQkZxfjRk4JLC0k6OfjKHY5RERETaZRc4BefvllREdHIzk5GX369IGtra3B13v27NkkxZG4qu7+CvJ2gK11o35ViIiIjFKj3tXGjRsHAHjllVf0xyQSCQRBgEQigUajaZrqSFQHuP4PERG1Uo0KQFevXm3qOsjICIJQHYA6cP0fIiJqXRoVgFrr5Geqdjm9EJmFasitLNCrnYPY5RARETWpRgWgb7755q5fj4iIaFQxZDyq5v/09XGEtaVU5GqIiIiaVqMC0KuvvmrweXl5OYqLiyGTyWBjY8MA1ApUDX+Fcv4PERG1Qo26DT4nJ8fgUVhYiIsXL2LgwIH47rvvmrpGamEVGi0OJlZNgOb8HyIian0aFYBq07FjR7z//vs1eofI9Jy9mY+C0grYyS3R3cO8F4IkIqLWqckCEABYWlri5s2bTXlKEkHV8FeIrxMspU36K0JERGQUGjUH6KeffjL4XBAE3Lp1C8uXL8eAAQOapDASz4EE3QToAR04/4eIiFqnRgWgp556yuBziUQCFxcXPPLII1i0aFFT1EUiUVdocPhaNgDO/yEiotarUQFIq9U2dR1kJI4n5aK0XAtnpQyd3JRil0NERNQsOMGDDFTf/u4MiUQicjVERETNo1EBaNSoUfjggw9qHP/www8xevTo+y6KxHOgcgHEAVz/h4iIWrFGBaC//voLw4YNq3F86NCh+Ouvv+67KBJHkboCJ5JzAXD+DxERtW6NCkCFhYWQyWQ1jltZWSE/P/++iyJxHLqWjQqtAK82CrRzshG7HCIiombTqADUo0cPbNq0qcbxjRs3omvXrvddFIkjrmr3dw5/ERFRK9eou8DmzJmDp59+GgkJCXjkkUcAALGxsfjuu+/www8/NGmB1HKqNkAd0IHDX0RE1Lo1KgANHz4c27dvx8KFC7F582YoFAr07NkTu3fvxkMPPdTUNVILyCkqw7lbuuHLUD/2ABERUevWqAAEAE888QSeeOKJpqyFRHQwMQuCAHR0VcLVXi52OURERM2qUXOADh8+jPj4+BrH4+PjceTIkfsuilreAc7/ISIiM9KoADRlyhQkJyfXOJ6SkoIpU6bcd1HU8vZX7v/Vn/N/iIjIDDQqAJ07dw69e/eucbxXr144d+7cfRdFLSs1rxSJGUWwkAAP+LIHiIiIWr9GBSBra2ukpaXVOH7r1i1YWjZ6WhGJpGr39+6eKqhsrESuhoiIqPk1KgANGTIEM2fORF5env5Ybm4u3n77bTz22GNNVhy1jOr9v9j7Q0RE5qFR3TUff/wxBg0ahPbt26NXr14AgBMnTsDNzQ3r1q1r0gKpeQmCcNsCiJz/Q0RE5qFRAcjT0xOnTp3Chg0bcPLkSSgUCkRFRWH8+PGwsuIQiim5nlWMlNwSWEkl6OvTRuxyiIiIWkSjJ+zY2tpi4MCBaNeuHcrKygAAv/32GwDgH//4R9NUR82uavirl3cb2Mg4f4uIiMxDo97xEhMTMXLkSJw+fRoSiQSCIEAikei/rtFomqxAal7Vt79z/g8REZmPRk2CfvXVV+Hr64v09HTY2NjgzJkz2Lt3L4KDg/Hnn382cYnUXLRaAQc5/4eIiMxQo3qA4uLi8Mcff8DZ2RkWFhaQSqUYOHAgYmJi8Morr+D48eNNXSc1g4tpBcgqKoPCSoogbwexyyEiImoxjeoB0mg0sLOzAwA4Ozvj5s2bAID27dvj4sWLTVcdNauq+T99fR0hs2zUrwIREZFJalQPUPfu3XHy5En4+voiJCQEH374IWQyGT7//HP4+fk1dY3UTA5c0c3/GcD1f4iIyMw0KgDNnj0bRUVFAIAFCxbgySefxIMPPggnJyds2rSpSQuk5lGh0SL+ajYAzv8hIiLz06hxj/DwcDz99NMAgA4dOuDChQvIzMxEeno6HnnkkQafb8WKFfDx8YFcLkdISAgOHTpUZ9vy8nIsWLAA/v7+kMvlCAwMxI4dOwzazJ8/HxKJxOAREBDQ4Lpas1MpeShUV0ClsEJXD3uxyyEiImpRTTbxw9HR0eBW+PratGkToqOjMW/ePBw7dgyBgYEIDw9Henp6re1nz56NVatWYdmyZTh37hxefPFFjBw5ssbE627duuHWrVv6x759+xp1Xa1V1erPD/g5QmrR8J8bERGRKRN95uvixYsxefJkREVFoWvXrvjss89gY2OD1atX19p+3bp1ePvttzFs2DD4+fnhpZdewrBhw7Bo0SKDdpaWlnB3d9c/nJ05zHO7/VXzfzrw+0JEROZH1ABUVlaGo0ePIiwsTH/MwsICYWFhiIuLq/U5arUacrnc4JhCoajRw3P58mV4eHjAz88PEyZMQFJSUp11qNVq5OfnGzxas9JyDY5czwEA9OcEaCIiMkOiBqDMzExoNBq4ubkZHHdzc0NqamqtzwkPD8fixYtx+fJlaLVa7Nq1C1u3bsWtW7f0bUJCQvD1119jx44dWLlyJa5evYoHH3wQBQUFtZ4zJiYGKpVK//D29m66izRCx67noKxCC1c7a/i7KMUuh4iIqMWJPgTWUEuXLkXHjh0REBAAmUyGqVOnIioqChYW1ZcydOhQjB49Gj179kR4eDj+97//ITc3F99//32t55w5cyby8vL0j+Tk5Ja6HFEc0K/+7NSoeVtERESmTtQA5OzsDKlUirS0NIPjaWlpcHd3r/U5Li4u2L59O4qKinD9+nVcuHABSqXyrusPOTg4oFOnTrhy5UqtX7e2toa9vb3BozWr3v+L83+IiMg8iRqAZDIZ+vTpg9jYWP0xrVaL2NhYhIaG3vW5crkcnp6eqKiowJYtWzBixIg62xYWFiIhIQFt27ZtstpNVUFpOU7dyAPA+T9ERGS+RB8Ci46OxhdffIG1a9fi/PnzeOmll1BUVISoqCgAQEREBGbOnKlvHx8fj61btyIxMRF///03Hn/8cWi1WkyfPl3f5o033sDevXtx7do1HDhwACNHjoRUKsX48eNb/PqMzeFr2dBoBbR3soFXGxuxyyEiIhJFo1aCbkpjx45FRkYG5s6di9TUVAQFBWHHjh36idFJSUkG83tKS0sxe/ZsJCYmQqlUYtiwYVi3bh0cHBz0bW7cuIHx48cjKysLLi4uGDhwIA4ePAgXF5eWvjyjs/9K9fwfIiIicyURBEEQuwhjk5+fD5VKhby8vFY3H2jo0r9x/lY+lo3vheGBHmKXQ0RE1GQa8v4t+hAYtZysQjXO39KtcfSAH3uAiIjIfDEAmZGDibrNTzu72cHFzlrkaoiIiMTDAGRGqm9/Z+8PERGZNwYgMxKnXwCR6/8QEZF5YwAyEzdzS3A1swgWEiDEz1HscoiIiETFAGQmqra/6OHlAHu5lcjVEBERiYsByEwcuKKb/zOA6/8QERExAJkDQRBu2wCV83+IiIgYgMxAYmYRUvNLIZNaINinjdjlEBERiY4ByAxU9f70bu8AuZVU5GqIiIjExwBkBqrn/3D4i4iICGAAavW0WgFxiZXzf7gAIhEREQAGoFbvfGo+covLYSuToqeXg9jlEBERGQUGoFbuwBVd708/X0dYSfnjJiIiAhiAWr0Dlft/DejA+T9ERERVGIBasXKNFoeu6naAD+UCiERERHoMQK3YqRu5KCrToI2NFbq424tdDhERkdFgAGrF9lfO/wn1d4KFhUTkaoiIiIwHA1ArVjX/h9tfEBERGWIAaqVKyjQ4dj0XANCf83+IiIgMMAC1Ukev56BMo4W7vRy+zrZil0NERGRUGIBaqf1Vw18dnCCRcP4PERHR7RiAWqmqDVA5/4eIiKgmBqBWKK+kHKdv5ALg/B8iIqLaMAC1QoeuZkMrAL7OtvBwUIhdDhERkdFhAGqF9l+puv2dvT9ERES1YQBqheI4/4eIiOiuGIBamYwCNS6mFQDg/l9ERER1YQBqZeISdb0/Xdraw9FWJnI1RERExokBqJWJq1z/ZwB7f4iIiOrEANTKVG2A2r8DAxAREVFdGIBakeTsYiRlF0NqIUE/XwYgIiKiujAAtSJVd38FeqmgtLYUuRoiIiLjxQDUihyomv/Tgbe/ExER3Q0DUCshCAL2V/YA8fZ3IiKiuzOKALRixQr4+PhALpcjJCQEhw4dqrNteXk5FixYAH9/f8jlcgQGBmLHjh11tn///fchkUjw2muvNUPlxiMhoxAZBWpYW1qgd7s2YpdDRERk1EQPQJs2bUJ0dDTmzZuHY8eOITAwEOHh4UhPT6+1/ezZs7Fq1SosW7YM586dw4svvoiRI0fi+PHjNdoePnwYq1atQs+ePZv7MkRXdfdXsE8byK2kIldDRERk3EQPQIsXL8bkyZMRFRWFrl274rPPPoONjQ1Wr15da/t169bh7bffxrBhw+Dn54eXXnoJw4YNw6JFiwzaFRYWYsKECfjiiy/Qpk3r7xGpmv/D7S+IiIjuTdQAVFZWhqNHjyIsLEx/zMLCAmFhYYiLi6v1OWq1GnK53OCYQqHAvn37DI5NmTIFTzzxhMG566JWq5Gfn2/wMCUarXDb/l+c/0NERHQvogagzMxMaDQauLm5GRx3c3NDampqrc8JDw/H4sWLcfnyZWi1WuzatQtbt27FrVu39G02btyIY8eOISYmpl51xMTEQKVS6R/e3t6NvygRnLuZj/zSCthZW6KHp0rscoiIiIye6ENgDbV06VJ07NgRAQEBkMlkmDp1KqKiomBhobuU5ORkvPrqq9iwYUONnqK6zJw5E3l5efpHcnJyc15Ck9tfOfwV4ucIS6nJ/UiJiIhanKjvls7OzpBKpUhLSzM4npaWBnd391qf4+Ligu3bt6OoqAjXr1/HhQsXoFQq4efnBwA4evQo0tPT0bt3b1haWsLS0hJ79+7FJ598AktLS2g0mhrntLa2hr29vcHDlBzQ3/7O+T9ERET1IWoAkslk6NOnD2JjY/XHtFotYmNjERoaetfnyuVyeHp6oqKiAlu2bMGIESMAAI8++ihOnz6NEydO6B/BwcGYMGECTpw4Aam0dd0hVVahxeGr2QCAAdz/i4iIqF5E3y8hOjoakZGRCA4ORr9+/bBkyRIUFRUhKioKABAREQFPT0/9fJ74+HikpKQgKCgIKSkpmD9/PrRaLaZPnw4AsLOzQ/fu3Q1ew9bWFk5OTjWOtwYnknNRUq6Bk60MnVztxC6HiIjIJIgegMaOHYuMjAzMnTsXqampCAoKwo4dO/QTo5OSkvTzewCgtLQUs2fPRmJiIpRKJYYNG4Z169bBwcFBpCsQ1/4ruvk/of5OsLCQiFwNERGRaZAIgiCIXYSxyc/Ph0qlQl5entHPBxrzWRwOXcvGwpE98H8h7cQuh4iISDQNef/mLUMmrLisAseTcwBw/g8REVFDMACZsMPXclCuEeDpoEA7RxuxyyEiIjIZDEAmrHr7CydIJJz/Q0REVF8MQCbsQOUGqP05/EVERNQgDEAmKq+4HGdu5gHgBqhEREQNxQBkouISsyAIgL+LLdzs67flBxEREekwAJmouMr5PwM6sPeHiIiooRiATNT+yv2/+vtz/g8REVFDMQCZoPT8UlxJL4REAjzgxwBERETUUAxAJqhq9/duHvZwsJGJXA0REZHpYQAyQVXr/wzg3V9ERESNwgBkYgRBwP7K9X9COf+HiIioURiATExydglScktgaSFBP19HscshIiIySQxAJmZ/5fBXr3YOsJFZilwNERGRaWIAMjFVE6BDOf+HiIio0RiATIggCNULIHL+DxERUaMxAJmQS2mFyCwsg9zKAkHtHMQuh4iIyGQxAJmQqtvf+/o4wtpSKnI1REREposByIRU3f7O3d+JiIjuDwOQiajQaBGfqAtAAzpw/g8REdH9YAAyEWdu5qNAXQF7uSW6eajELoeIiMikMQCZiKr5Pw/4OUFqIRG5GiIiItPGAGQiDujn/3D4i4iI6H4xAJkAdYUGh69lAwAGdOAEaCIiovvFAGQCjl3PhbpCCxc7a3RwVYpdDhERkcljADIBVas/9/d3gkTC+T9ERET3iwHIBOxP4PwfIiKipsQAZOQK1RU4mZwLgAsgEhERNRUGICN3+Go2KrQCvB0V8Ha0EbscIiKiVoEByMgd0O/+zt4fIiKipsIAZOSq9v8K5fwfIiKiJsMAZMRyispw7lY+AM7/ISIiakoMQEbsYOXmp53clHCxsxa5GiIiotaDAciI7dev/8PeHyIioqbEAGTEDnD9HyIiomZhFAFoxYoV8PHxgVwuR0hICA4dOlRn2/LycixYsAD+/v6Qy+UIDAzEjh07DNqsXLkSPXv2hL29Pezt7REaGorffvutuS+jSaXmlSIxowgWEiDEjwGIiIioKYkegDZt2oTo6GjMmzcPx44dQ2BgIMLDw5Genl5r+9mzZ2PVqlVYtmwZzp07hxdffBEjR47E8ePH9W28vLzw/vvv4+jRozhy5AgeeeQRjBgxAmfPnm2py7pvVbe/9/BUQaWwErkaIiKi1kUiCIIgZgEhISHo27cvli9fDgDQarXw9vbGtGnTMGPGjBrtPTw8MGvWLEyZMkV/bNSoUVAoFFi/fn2dr+Po6IiPPvoI//znP+9ZU35+PlQqFfLy8mBvb9+Iq7p///7+JLYcu4EXH/LHjKEBotRARERkShry/i1qD1BZWRmOHj2KsLAw/TELCwuEhYUhLi6u1ueo1WrI5XKDYwqFAvv27au1vUajwcaNG1FUVITQ0NA6z5mfn2/wEJMgCPoNUAd04PAXERFRUxM1AGVmZkKj0cDNzc3guJubG1JTU2t9Tnh4OBYvXozLly9Dq9Vi165d2Lp1K27dumXQ7vTp01AqlbC2tsaLL76Ibdu2oWvXrrWeMyYmBiqVSv/w9vZumgtspGtZxbiZVwqZ1ALB7R1FrYWIiKg1En0OUEMtXboUHTt2REBAAGQyGaZOnYqoqChYWBheSufOnXHixAnEx8fjpZdeQmRkJM6dO1frOWfOnIm8vDz9Izk5uSUupU5V8396tXOAQiYVtRYiIqLWSNQA5OzsDKlUirS0NIPjaWlpcHd3r/U5Li4u2L59O4qKinD9+nVcuHABSqUSfn5+Bu1kMhk6dOiAPn36ICYmBoGBgVi6dGmt57S2ttbfMVb1ENOBK1W3v3P9HyIiouYgagCSyWTo06cPYmNj9ce0Wi1iY2PrnK9TRS6Xw9PTExUVFdiyZQtGjBhx1/ZarRZqtbpJ6m5OWq2AuMoVoDn/h4iIqHlYil1AdHQ0IiMjERwcjH79+mHJkiUoKipCVFQUACAiIgKenp6IiYkBAMTHxyMlJQVBQUFISUnB/PnzodVqMX36dP05Z86ciaFDh6Jdu3YoKCjAt99+iz///BM7d+4U5Rob4kJqAbKLymAjk6Knl4PY5RAREbVKogegsWPHIiMjA3PnzkVqaiqCgoKwY8cO/cTopKQkg/k9paWlmD17NhITE6FUKjFs2DCsW7cODg4O+jbp6emIiIjArVu3oFKp0LNnT+zcuROPPfZYS19eg1XN/+nn6wiZpclN0SIiIjIJoq8DZIzEXAdo0teH8ceFdLw9LAAvDPJv0dcmIiIyZSazDhAZKtdoEZ/ICdBERETNjQHIiJy6kYeiMg0cbKzQta24d6IRERG1ZgxARqRq9edQPydYWEhEroaIiKj1YgAyIgcSqoa/ePs7ERFRc2IAMhKl5RocuZ4DAOjfgfN/iIiImhMDkJE4dj0HZRVauNlbw8/ZVuxyiIiIWjUGICOxv3L+T39/Z0gknP9DRETUnBiAjATn/xAREbUcBiAjUFBajlM38gBw/g8REVFLYAAyAoeuZkOjFeDjZANPB4XY5RAREbV6DEBGYP8V3fBXKFd/JiIiahEMQEagagPUAR04/4eIiKglMACJLLNQjQupBQB0K0ATERFR82MAEtnBys1PA9zt4KS0FrkaIiIi88AAJLKq+T/c/Z2IiKjlMACJLI7zf4iIiFocA5CIUnJLcC2rGFILCfr5OopdDhERkdlgABLRgSu63p+eXirYya1EroaIiMh8MACJiNtfEBERiYMBSCSCIFSv/8MJ0ERERC2KAUgkiZlFSMtXQ2Zpgd7t24hdDhERkVlhABJJ1fyf4PZtILeSilwNERGReWEAEgnn/xAREYmHAUgEWq2AuMoVoPt34PwfIiKilsYAJIJzt/KRW1wOpbUlenqqxC6HiIjI7DAAiaDq7q8QX0dYSvkjICIiaml89xVB1fyfUM7/ISIiEgUDUAsrq9Di0NVsANwAlYiISCwMQC3s1I1cFJdp4GgrQ4C7ndjlEBERmSUGoBa2/0rl8JefEywsJCJXQ0REZJ4YgFpY1QTo/h04/4eIiEgsDEAtqKRMg+NJuQA4/4eIiEhMDEAt6Mj1bJRptPBQyeHjZCN2OURERGaLAagFpeerYSe3RKi/MyQSzv8hIiISi6XYBZiTUX288FQvTxSWVohdChERkVkzih6gFStWwMfHB3K5HCEhITh06FCdbcvLy7FgwQL4+/tDLpcjMDAQO3bsMGgTExODvn37ws7ODq6urnjqqadw8eLF5r6MepFaSKCysRK7DCIiIrMmegDatGkToqOjMW/ePBw7dgyBgYEIDw9Henp6re1nz56NVatWYdmyZTh37hxefPFFjBw5EsePH9e32bt3L6ZMmYKDBw9i165dKC8vx5AhQ1BUVNRSl0VERERGTCIIgiBmASEhIejbty+WL18OANBqtfD29sa0adMwY8aMGu09PDwwa9YsTJkyRX9s1KhRUCgUWL9+fa2vkZGRAVdXV+zduxeDBg26Z035+flQqVTIy8uDvb19I6+MiIiIWlJD3r9F7QEqKyvD0aNHERYWpj9mYWGBsLAwxMXF1foctVoNuVxucEyhUGDfvn11vk5eXh4AwNHRsc5z5ufnGzyIiIio9RI1AGVmZkKj0cDNzc3guJubG1JTU2t9Tnh4OBYvXozLly9Dq9Vi165d2Lp1K27dulVre61Wi9deew0DBgxA9+7da20TExMDlUqlf3h7e9/fhREREZFRE30OUEMtXboUHTt2REBAAGQyGaZOnYqoqChYWNR+KVOmTMGZM2ewcePGOs85c+ZM5OXl6R/JycnNVT4REREZAVEDkLOzM6RSKdLS0gyOp6Wlwd3dvdbnuLi4YPv27SgqKsL169dx4cIFKJVK+Pn51Wg7depU/PLLL9izZw+8vLzqrMPa2hr29vYGDyIiImq9RA1AMpkMffr0QWxsrP6YVqtFbGwsQkND7/pcuVwOT09PVFRUYMuWLRgxYoT+a4IgYOrUqdi2bRv++OMP+Pr6Nts1EBERkekRfSHE6OhoREZGIjg4GP369cOSJUtQVFSEqKgoAEBERAQ8PT0RExMDAIiPj0dKSgqCgoKQkpKC+fPnQ6vVYvr06fpzTpkyBd9++y1+/PFH2NnZ6ecTqVQqKBSKlr9IIiIiMiqiB6CxY8ciIyMDc+fORWpqKoKCgrBjxw79xOikpCSD+T2lpaWYPXs2EhMToVQqMWzYMKxbtw4ODg76NitXrgQADB482OC11qxZg4kTJzb3JREREZGRE30dIGPEdYCIiIhMj8msA0REREQkBgYgIiIiMjsMQERERGR2RJ8EbYyqpkVxSwwiIiLTUfW+XZ/pzQxAtSgoKAAAbolBRERkggoKCqBSqe7ahneB1UKr1eLmzZuws7ODRCJp0nPn5+fD29sbycnJvMPMCPDnYVz48zAu/HkYH/5M7k4QBBQUFMDDw6POLbKqsAeoFhYWFnfdOqMpcMsN48Kfh3Hhz8O48OdhfPgzqdu9en6qcBI0ERERmR0GICIiIjI7DEAtzNraGvPmzYO1tbXYpRD48zA2/HkYF/48jA9/Jk2Hk6CJiIjI7LAHiIiIiMwOAxARERGZHQYgIiIiMjsMQERERGR2GIBa0IoVK+Dj4wO5XI6QkBAcOnRI7JLMVkxMDPr27Qs7Ozu4urriqaeewsWLF8UuiwC8//77kEgkeO2118QuxaylpKTg2WefhZOTExQKBXr06IEjR46IXZZZ0mg0mDNnDnx9faFQKODv74933nmnXvtdUd0YgFrIpk2bEB0djXnz5uHYsWMIDAxEeHg40tPTxS7NLO3duxdTpkzBwYMHsWvXLpSXl2PIkCEoKioSuzSzdvjwYaxatQo9e/YUuxSzlpOTgwEDBsDKygq//fYbzp07h0WLFqFNmzZil2aWPvjgA6xcuRLLly/H+fPn8cEHH+DDDz/EsmXLxC7NpPE2+BYSEhKCvn37Yvny5QB0+415e3tj2rRpmDFjhsjVUUZGBlxdXbF3714MGjRI7HLMUmFhIXr37o1PP/0U7777LoKCgrBkyRKxyzJLM2bMwP79+/H333+LXQoBePLJJ+Hm5oavvvpKf2zUqFFQKBRYv369iJWZNvYAtYCysjIcPXoUYWFh+mMWFhYICwtDXFyciJVRlby8PACAo6OjyJWYrylTpuCJJ54w+HtC4vjpp58QHByM0aNHw9XVFb169cIXX3whdllmq3///oiNjcWlS5cAACdPnsS+ffswdOhQkSszbdwMtQVkZmZCo9HAzc3N4LibmxsuXLggUlVURavV4rXXXsOAAQPQvXt3scsxSxs3bsSxY8dw+PBhsUshAImJiVi5ciWio6Px9ttv4/Dhw3jllVcgk8kQGRkpdnlmZ8aMGcjPz0dAQACkUik0Gg3ee+89TJgwQezSTBoDEJm9KVOm4MyZM9i3b5/YpZil5ORkvPrqq9i1axfkcrnY5RB0/ykIDg7GwoULAQC9evXCmTNn8NlnnzEAieD777/Hhg0b8O2336Jbt244ceIEXnvtNXh4ePDncR8YgFqAs7MzpFIp0tLSDI6npaXB3d1dpKoIAKZOnYpffvkFf/31F7y8vMQuxywdPXoU6enp6N27t/6YRqPBX3/9heXLl0OtVkMqlYpYoflp27YtunbtanCsS5cu2LJli0gVmbc333wTM2bMwLhx4wAAPXr0wPXr1xETE8MAdB84B6gFyGQy9OnTB7GxsfpjWq0WsbGxCA0NFbEy8yUIAqZOnYpt27bhjz/+gK+vr9glma1HH30Up0+fxokTJ/SP4OBgTJgwASdOnGD4EcGAAQNqLAtx6dIltG/fXqSKzFtxcTEsLAzfrqVSKbRarUgVtQ7sAWoh0dHRiIyMRHBwMPr164clS5agqKgIUVFRYpdmlqZMmYJvv/0WP/74I+zs7JCamgoAUKlUUCgUIldnXuzs7GrMvbK1tYWTkxPnZInk9ddfR//+/bFw4UKMGTMGhw4dwueff47PP/9c7NLM0vDhw/Hee++hXbt26NatG44fP47Fixdj0qRJYpdm0ngbfAtavnw5PvroI6SmpiIoKAiffPIJQkJCxC7LLEkkklqPr1mzBhMnTmzZYqiGwYMH8zZ4kf3yyy+YOXMmLl++DF9fX0RHR2Py5Mlil2WWCgoKMGfOHGzbtg3p6enw8PDA+PHjMXfuXMhkMrHLM1kMQERERGR2OAeIiIiIzA4DEBEREZkdBiAiIiIyOwxAREREZHYYgIiIiMjsMAARERGR2WEAIiIiIrPDAEREVA9//vknJBIJcnNzxS6FiJoAAxARERGZHQYgIiIiMjsMQERkErRaLWJiYuDr6wuFQoHAwEBs3rwZQPXw1K+//oqePXtCLpfjgQcewJkzZwzOsWXLFnTr1g3W1tbw8fHBokWLDL6uVqvx1ltvwdvbG9bW1ujQoQO++uorgzZHjx5FcHAwbGxs0L9//xq7phORaWAAIiKTEBMTg2+++QafffYZzp49i9dffx3PPvss9u7dq2/z5ptvYtGiRTh8+DBcXFwwfPhwlJeXA9AFlzFjxmDcuHE4ffo05s+fjzlz5uDrr7/WPz8iIgLfffcdPvnkE5w/fx6rVq2CUqk0qGPWrFlYtGgRjhw5AktLS+7ITWSiuBkqERk9tVoNR0dH7N69G6Ghofrjzz//PIqLi/HCCy/g4YcfxsaNGzF27FgAQHZ2Nry8vPD1119jzJgxmDBhAjIyMvD777/rnz99+nT8+uuvOHv2LC5duoTOnTtj165dCAsLq1HDn3/+iYcffhi7d+/Go48+CgD43//+hyeeeAIlJSWQy+XN/F0goqbEHiAiMnpXrlxBcXExHnvsMSiVSv3jm2++QUJCgr7d7eHI0dERnTt3xvnz5wEA58+fx4ABAwzOO2DAAFy+fBkajQYnTpyAVCrFQw89dNdaevbsqf+4bdu2AID09PT7vkYialmWYhdARHQvhYWFAIBff/0Vnp6eBl+ztrY2CEGNpVAo6tXOyspK/7FEIgGgm59ERKaFPUBEZPS6du0Ka2trJCUloUOHDgYPb29vfbuDBw/qP87JycGlS5fQpUsXAECXLl2wf/9+g/Pu378fnTp1glQqRY8ePaDVag3mFBFR68UeICIyenZ2dnjjjTfw+uuvQ6vVYuDAgcjLy8P+/fthb2+P9u3bAwAWLFgAJycnuLm5YdasWXB2dsZTTz0FAPj3v/+Nvn374p133sHYsWMRFxeH5cuX49NPPwUA+Pj4IDIyEpMmTcInn3yCwMBAXL9+Henp6RgzZoxYl05EzYQBiIhMwjvvvAMXFxfExMQgMTERDg4O6N27N95++239ENT777+PV199FZcvX0ZQUBB+/vlnyGQyAEDv3r3x/fffY+7cuXjnnXfQtm1bLFiwABMnTtS/xsqVK/H222/j5ZdfRlZWFtq1a4e3335bjMslombGu8CIyORV3aGVk5MDBwcHscshIhPAOUBERERkdhiAiIiIyOxwCIyIiIjMDnuAiIiIyOwwABEREZHZYQAiIiIis8MARERERGaHAYiIiIjMDgMQERERmR0GICIiIjI7DEBERERkdhiAiIiIyOz8P5Wc+y1m2yF6AAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(history.history['loss'])\n",
        "plt.plot(history.history['val_loss'])\n",
        "plt.title('model loss')\n",
        "plt.ylabel('loss')\n",
        "plt.xlabel('epoch')\n",
        "plt.legend(['train', 'test'], loc='upper left')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "n0xgybqaM4xb",
        "outputId": "a9fe4ae1-e19c-4be2-de19-03f1e6cb4e7c"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate(x_test_flattened, y_test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3ZICfMu3RL1r",
        "outputId": "081fd9f9-e0b0-4ccc-b31f-f869297b2e08"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "313/313 [==============================] - 1s 2ms/step - loss: 0.0730 - accuracy: 0.9777\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[0.07300636917352676, 0.9776999950408936]"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.matshow(x_test[7])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 454
        },
        "id": "HVp5EHJcRgM2",
        "outputId": "a985785d-1ddb-42db-d06b-196956821e85"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x78464c58e050>"
            ]
          },
          "metadata": {},
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_predicted = model.predict(x_test_flattened)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BP4ZozlZScHv",
        "outputId": "200c6191-8a35-4492-8c7d-528077bcc0fd"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "313/313 [==============================] - 1s 2ms/step\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_predicted[7]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iSLBFJa1S0Y4",
        "outputId": "4d3212f7-aea9-4da7-a087-055e0ee0a2d8"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([3.1245953e-08, 8.3574455e-04, 3.2783881e-02, 1.5158567e-01,\n",
              "       5.0740737e-02, 7.3153269e-04, 4.5679545e-08, 4.2568255e-02,\n",
              "       3.3906912e-05, 9.9995720e-01], dtype=float32)"
            ]
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "An output in the form of probabilities for each class is obtained. We take the class with the highest probability to be our answer"
      ],
      "metadata": {
        "id": "eHY6de0cJ0XJ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "np.argmax(y_predicted[7])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0NY-mr4cTOjC",
        "outputId": "bbe500ec-3fb6-47f8-b882-257fc376deda"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "9"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.summary()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VvIvDSoMUE_g",
        "outputId": "f503f7bf-ad36-46d6-d2dc-1f96f497754c"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model: \"sequential\"\n",
            "_________________________________________________________________\n",
            " Layer (type)                Output Shape              Param #   \n",
            "=================================================================\n",
            " dense (Dense)               (None, 100)               78500     \n",
            "                                                                 \n",
            " dense_1 (Dense)             (None, 10)                1010      \n",
            "                                                                 \n",
            "=================================================================\n",
            "Total params: 79510 (310.59 KB)\n",
            "Trainable params: 79510 (310.59 KB)\n",
            "Non-trainable params: 0 (0.00 Byte)\n",
            "_________________________________________________________________\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_predicted_labels = [np.argmax(i) for i in y_predicted]"
      ],
      "metadata": {
        "id": "MnoQ7nmlL52_"
      },
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "cm = tf.math.confusion_matrix(labels=y_test,predictions=y_predicted_labels)\n",
        "cm"
      ],
      "metadata": {
        "id": "V_n1JJYhL6Cr",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "87091b38-fb20-4249-d0c9-9aa9b6847fe0"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<tf.Tensor: shape=(10, 10), dtype=int32, numpy=\n",
              "array([[ 964,    0,    0,    1,    2,    2,    6,    1,    3,    1],\n",
              "       [   0, 1121,    3,    1,    0,    1,    4,    2,    3,    0],\n",
              "       [   4,    0,  998,    2,    1,    0,    7,    6,   14,    0],\n",
              "       [   0,    1,    1,  994,    0,    5,    0,    3,    4,    2],\n",
              "       [   1,    1,    4,    0,  954,    0,   10,    3,    0,    9],\n",
              "       [   2,    0,    0,    6,    1,  866,    8,    1,    6,    2],\n",
              "       [   3,    3,    1,    0,    1,    2,  947,    1,    0,    0],\n",
              "       [   1,    5,    6,    1,    0,    0,    0, 1009,    2,    4],\n",
              "       [   4,    1,    2,    3,    3,    2,    6,    3,  947,    3],\n",
              "       [   2,    3,    0,    6,    5,    4,    1,    6,    5,  977]],\n",
              "      dtype=int32)>"
            ]
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sn\n",
        "plt.figure(figsize = (10,7))\n",
        "sn.heatmap(cm, annot=True, fmt='d')\n",
        "plt.xlabel('Predicted')\n",
        "plt.ylabel('Truth')"
      ],
      "metadata": {
        "id": "2WEchvf0JuVU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 636
        },
        "outputId": "758be335-fa16-48e2-c7a5-13a7db742d7e"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(95.72222222222221, 0.5, 'Truth')"
            ]
          },
          "metadata": {},
          "execution_count": 26
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x700 with 2 Axes>"
            ],
            "image/png": 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JSUFoaKhmn2PHjkGlUqFZs2aafU6ePIm8vDzNPkeOHEHNmjVRqlSp187DTgYRERERURGQkZGBS5cu4dKlSwCeDva+dOkSoqKioFAoMHbsWPj5+WHv3r24cuUKPv74Y7i6umpmoHrnnXfg7e2NYcOGITg4GKdPn8bo0aPRp08fuLq6AgD69euHYsWKYciQIbh27Rq2bduGFStWPHNJ16vwcikiIiIiIm3qwnkzvvPnz6NNmzaax//84j9o0CAEBARg0qRJyMzMxPDhw5GSkoKWLVvi0KFDKF68uOY5v/zyC0aPHo127dppbsa3cuVKzXZ7e3v8+eef8PX1hYeHBxwcHDBjxgyde2m8Dt4nw4jwPhlERERUVBTm+2Q8+esn2V7Lqs1Q2V5LTqxkEBERERFpk3CshKnimAwiIiIiIpIUKxlERERERNoK6ZiMooSVDCIiIiIikhQrGURERERE2jgmQ2+sZBARERERkaRYySAiIiIi0sYxGXpjJYOIiIiIiCTFSgYRERERkTaOydAbKxlERERERCQpdjIkNHLEINy6cRYZabdx5tQ+NGncQHSk13b+0hX4TpqJNl37o26Ljgg8eUZn+5HjpzFs7Fdo0bE36rboiOs3butsT01Lx7yl36Fzn6HwaNMNXj0+xrxla5Cekamz37xla9B78Bg0fL8Leg7yNXi7DOGz4R/jQugRJCVeR1LidZw6uRfeHdqIjmVwrVo2w57dAYi6F4r83Bh07dpBdCRZFeXz+22Y+vv9j0kTfZGfG4Mli2eLjmJQkyeNRtCZA0h+HImHDy5j1851qFGjquhYBmeq3+f/MLXvNZIXOxkS6dWrKxYvmolv/JaiSTNvXA4Lxx8HfoGjYxnR0V7LkyfZqFmtCqZ9Oer527Oz0ah+HYwbOfi52xMSHyMhMQkTRg/F7s1rMHfaeJw+F4oZ/sue2fdDn/bwbtda0vxyiomJxbRp/mjavCOaeXbCX8dP47dd61G7dg3R0QzKxsYaYWHhGPPFNNFRZFfUz++3Ycrv9z8ae7hj2NABuBwWLjqKwb3XqjnWrNmIFq26wLtTX1iYW+DggS2wtrYSHc2gTPX7HDDN77U3olLJtxgphVqtVosOITXzYuVkf80zp/Yh5PxlfDH2awCAQqHAvTshWP3dBixctFqWDE8e/i3Jceq26IgV/tPR7r13n9kWExuPDh99gp0bvkWtV/yV6/CxvzFlzkKEHN0Dc3MznW2r1/2MYyeDsGuj/v82Vq6t9D6GvhLirmLyFD9sCNgqOoos8nNj0OOjwdi797DoKLIoDOe3SKb2fgNPO1khwYcxZsxX+Grq57h0ORxfTpgpOpZsHBxKI+7hFbRp2wN/nzonOo6sTOX7vDB8r+XnxsjyOm/jyYHlsr2Wlc9Y2V5LTqxkSMDCwgKNGtVH4LF/f8lXq9UIPHYKzZt7CEwmVnpGJkrYWD/TwTAmSqUSvXt3hY2NNc6eCxUdhwyA57dpWrVyHg7+EajzvpsSe3s7AEBScorYIDIype9zfq+9BrVKvsVIFerZpaKjozFz5kysX79edJSXcnAoDXNzcyTEJ+qsT0h4hFo1jf+a1udJTknFDwG/4qOuHUVHMYi6dWvh1Mm9KF7cEhkZmfio11BERNwUHYsMgOe36enduysaNqyL5p4+oqMIoVAosHTxbJw+HYxr1yJFxzE4U/w+5/cayaFQdzKSkpKwcePGl3YycnJykJOTo7NOrVZDoVAYOh69QEZmJkZNnImqbhUxasgA0XEMIjLyNjyatIe9nS169vTB+nXL0darp9H/YCIyduXLu2LZkjnw7tT3mZ8tpmLVynmoU6cmWrf5UHQUWfD7nJ7LiMdKyEVoJ2Pv3r0v3X7nzp1XHsPf3x+zZ+vO+qFQloDCzE6vbG8iMTEJ+fn5cHJ20Fnv5OSIuPhHsuUoDDIzs/DZ+OmwsbbCinnTYWFeqPuxby0vLw+3b98DAFy4eAWNPRpgzOihGOU7WWwwkhzPb9PSqFE9ODs7IuTcIc06c3NztGrVHL6jPoF1CTeojPiXjxXL/eDTyQtt2vVATEys6DiyMMXvc36vkRyE/gbYvXt3KBQKvGzs+asqElOnTsX48eN11pUqU0uSfK8rLy8PFy6EoW2blpqBkQqFAm3btMR3azbImkWkjMxMfDbua1gUs8CqBTNhaVlMdCTZKJVKk2qvKeH5bVqOHTsF94Ztddb9tHYpIiNvY9Hi1UbfwejezRvtPuiFe/eiRccRxhS+z/m99hqMeKyEXIR2MsqWLYvvvvsO3bp1e+72S5cuwcPj5QOQLC0tYWlpqbNOxKVSy1asxYZ1yxB6IQwhIRfx+ZhhsLGxQsDGbbJneRtZWU8Q9eCh5nHMw3hcv3Eb9na2KOvihNS0dMTGJSAh8TEA4G7UAwCAQ5lScChTGhmZmRg+dhqe5ORgxYyJyMzMQmZmFgCgVEl7mJk9Hfwd9eAhsrKeIPFxMnJycjT326jqVhEWFhZyNvmtzfWbgkOH/kJUdAxsbUugb5/uaN3aE518+omOZlA2NtaoVs1N89itckW4u9dBUlIyoqMfvuSZRV9RP7/fhqm+3xkZmc+MQ8jKzMLjx8lGPT5h1cp56NunO3r0HIz09Aw4OzsCAFJT05GdnS04neGY6vc5YJrfayQvoZ0MDw8PhIaGvrCT8aoqR2GyY8deODqUxqwZE+Di4ojLl6/Bp/MAJCQkvvrJhcDV6zcxeMy/peGFq34EAHTr6IW5X3+Jv/4+i6/nLdVsnzhzPgBg5OD+8B0yAOGRtxEW/vQHcKf/G6Jz7MM7A1CurDMAYMb85Th/8Ypm20efjn5mn8LO0dEBG9avQNmyTkhNTceVKxHo5NMPRwONexaaxh7uCDy6U/N4yeJZAICNm7ZjyNBxglLJo6if32/DlN9vUzRyxCAAwLHAXTrrBw8Zh02bt4uIJAtT/T4HTPN77Y0YcdVSLkLvk/H3338jMzMT3t7ez92emZmJ8+fPo3XrN7txm4j7ZBQGUt0no6gpDPfJICIiojdTqO+TsXu+bK9l9eEU2V5LTkIrGa1avfyXQxsbmzfuYBARERER6YVjMvTGm/EREREREZGkjHN+USIiIiKit8UxGXpjJYOIiIiIiCTFSgYRERERkTZWMvTGSgYREREREUmKlQwiIiIiIm1F5D5thRkrGUREREREJClWMoiIiIiItHFMht5YySAiIiIiIkmxk0FERERERJLi5VJERERERNp4uZTeWMkgIiIiIiJJsZJBRERERKRNzUqGvljJICIiIiIiSbGSQURERESkjWMy9MZKBhERERERSYqVDCIiIiIibWq16ARFHisZREREREQkKVYyiIiIiIi0cUyG3ljJICIiIiIiSbGSQURERESkjZUMvbGTYUSsXFuJjiBE+tG5oiMIYes1TXQEIoNTiA5AslIqTfMCiwL+QktGiJ0MIiIiIiJtvOO33kzzTwZERERERGQwrGQQEREREWlRq3ifDH2xkkFERERERJJiJYOIiIiISBsH4+uNlQwiIiIiIpIUOxlERERERCQpXi5FRERERKSNU9jqjZUMIiIiIiKSFCsZRERERETaOIWt3ljJICIiIiIiSbGSQURERESkjVPY6o2VDCIiIiIikhQrGURERERE2ljJ0BsrGUREREREJClWMoiIiIiItKk5u5S+WMkgIiIiIiJJsZJBRERERKSNYzL0xkoGERERERFJipUMIiIiIiJtvOO33ljJMIBJE32RnxuDJYtni44ii5EjBuHWjbPISLuNM6f2oUnjBqIj6SUzOwcLtx5Bx8mr0WzUInw8fxOu3n2o2f44LRPT1+/HBxNWobnvIoxavhX345N0jpGYmoFp6/ai3Zcr0dx3Mfp8sx5HQ6/L3RRJTZ40GkFnDiD5cSQePriMXTvXoUaNqqJjGVyrls2wZ3cAou6FIj83Bl27dhAdSVbGdn6/ys0bZ5GXG/PMsnLFXNHRDM7V1QUbA1YiLvYq0lJv4eKFo/BoVF90LEm1bNkMv+1aj7t3ziMnOxpdu7z4fP521TzkZEdjzOghMiaUl6md3yQvdjIk1tjDHcOGDsDlsHDRUWTRq1dXLF40E9/4LUWTZt64HBaOPw78AkfHMqKjvbXZGw/ibPg9+A3pgh2zhsCzthtGLNuK+OR0qNVqjFu9EzGJKVjm2xNbpw9G2TL2GLH0VzzJydUc4+v1+3AvLgnLR3+EnbOGoF3Dmpj0wx5cj4oT2DL9vNeqOdas2YgWrbrAu1NfWJhb4OCBLbC2thIdzaBsbKwRFhaOMV9MEx1FdsZ4fr+K57udUL5CA83SwbsPAGDnrv2CkxlWyZL2OHF8D/Ly8tGlywDUd2+DiZPmIDklVXQ0SdlYWyHsSgS+GPv1S/fr2tUbTZs2QkxM0f3OfhVTPL/fiFol32Kk2MmQkI2NNTZt+hYjRk5CSnKK6DiyGPfFMPy0bgs2btqOiIibGOU7BVlZT/DpJ31ER3sr2bl5CLxwHWM/agOPGhVR0ak0RnZthQqOpbDj+AVExSch7M5DfNW/A+q6uaKySxlM6++N7Lx8HAz+t2N5+XYM+rb1QD03V5R3LIVhnVvA1toS4feL7g8sny4DsGnzdoSH30BYWDgGDx2LSpXKG91fOv/r0OG/MGPmQvz++yHRUWRnbOf360hMTEJ8/CPN4tPJC7du3cXJk0GioxnUxImj8ODBQwwdNh4h5y/h3r1oHD16Enfu3BcdTVKH/zyOWbMWYe/eF5/Prq4uWLZ0DgZ98jny8vNkTCcvUzy/SV7sZEho1cp5OPhHIAKP/S06iiwsLCzQqFF9nfaq1WoEHjuF5s09BCZ7ewUqFQpUalha6A5Xsixmjou3HiA3v+DpY63tSqUCxczNcPHmA80696rlcDgkAqmZT6BSqXEoOBw5eQVoXLOiPA2Rgb29HQAgyUQ61KbGGM/vN2VhYYF+/XogYOM20VEMrnPn9ggNDcOvv/6AmAeXERJ8GEMG9xMdS3YKhQLr1y/HsmXfIyLihug4BsPz+zWo1PItRkp4J+PJkyc4deoUwsOfvbwoOzsbmzZteunzc3JykJaWprOoBdxApXfvrmjYsC6++tpf9tcWxcGhNMzNzZEQn6izPiHhEVycHQWl0o9NcUvUr1oOP+4/jYSUdBSoVDhw9irCbscgMTUDlV3KoGxpO6z87TjSMp8gL78AGw4GIT45HYmpGZrjLPzsQ+QXqNB67HI0HbUQfj8fwtJRPVDRqbTA1klHoVBg6eLZOH06GNeuRYqOQwZgjOf3m+rWzRslS9ph06btoqMYXBW3ivjss4G4desufDr3ww8/bMKyZXMwcGAv0dFkNWHCKBTkF+Db1etFRzEont8kB6GzS924cQPt27dHVFQUFAoFWrZsia1bt6Js2bIAgNTUVHz66af4+OOPX3gMf39/zJ6tO8BaoSwBhZmdQbNrK1/eFcuWzIF3p77IycmR7XXJMOYO7oJZGw+g/cRvYaZUoFZFF3g3rY2I+3GwMDfDklE9MCvgD7w3djnMlAo0e6cyWtStonOM7/acRPqTbPwwvi9KlrDCXxdvYNIPe7Bh0gBUL+8kqGXSWbVyHurUqYnWbT4UHYXIYD79pA8OHf4LsbHxoqMYnFKpRGhoGKZPnw8AuHTpGurUqYnhwwZi8+YdgtPJo2HDehjtOxjNPTuJjkKFgJr3ydCb0E7G5MmTUbduXZw/fx4pKSkYO3YsWrRogePHj6Nixde7rGTq1KkYP368zrpSZWoZIu4LNWpUD87Ojgg59+81nubm5mjVqjl8R30C6xJuUBnhhzUxMQn5+flwcnbQWe/k5Ii4+EeCUumvglMprJs4AE9ycpHxJBeOJUtg0g97UM6xJACgdqWy2D5zCNKzspFXoEJpW2sMmBeA2pWedo6jE5Kx9a9Q7Jw1FNXKPf2LUM0Kzrh46wG2/XUBXw/0FtU0SaxY7gefTl5o064HYmJiRcchAzHW8/t1VaxYDu3atUKv3kNFR5FFbGzCM5cHXb9+Cx9+aDq/cLds0RROTg64dfOsZp25uTkWLJiO0WOGoGbNdwWmk5apn98kD6GXS505cwb+/v5wcHBAtWrVsG/fPnTo0AGtWrXCnTt3XusYlpaWsLOz01kUCoWBk+s6duwU3Bu2hUeT9pol5PwlbPl1NzyatDfKDgYA5OXl4cKFMLRt01KzTqFQoG2bljh7NlRgMmlYWRaDY8kSSMt8gjPX7uD9BtV1tttaF0dpW2vcj09C+L04zfbs3KcDBZVK3c+hUqGASsClfFJasdwP3bt544MOvXHvXrToOGRAxn5+v8qgQf+HhIRE/PFHoOgosjgTFPLMlNTVq1dBVFSMoETy+2XLLng0bo8mTb01S0xMHJYu/R5dOg8QHU9Spn5+kzyEVjKePHkCc/N/IygUCqxZswajR49G69atsWXLFoHpXl9GRuYz16VnZWbh8eNko79efdmKtdiwbhlCL4QhJOQiPh8zDDY2VkV6oOSZq3eghhqVncsg6lEylu04BjeXMuj27tNZlP48H4FSttYoW9oON2MeYeHWo2jTsAberfP0kqnKLmVQwakU/DYfwrhebVHSxgp/XbqBsxF3sXJM0b2+edXKeejbpzt69ByM9PQMOP/vut3U1HRkZ2cLTmc4NjbWqFbNTfPYrXJFuLvXQVJSMqKjH77kmUWfMZ7fr0OhUGDQx/+HzT/vQEFBgeg4sli5Yi1OnvwdkyePwc6d+9CkSQMMHdofI0dNEh1NUjY21qhatbLmceXKFVC/fm0kJ6cgOvohkpJSdPbPy89DfPwj3Lj5en/4LEpM9fx+bUY8IFsuQjsZtWrVwvnz5/HOO+/orP/2228BAF27dhURi97Ajh174ehQGrNmTICLiyMuX74Gn84DkJCQ+OonF1LpT3KwavdxxCenw96mONo1qonR3VvDwtwMwNMb7S3ZHojHaZlwtC+Bzp51Mbzzv38NsjA3w7ef98bK347ji1U7kJWTh4pOpfDNp53Rql41Uc3S28gRgwAAxwJ36awfPGQcNm023oGxjT3cEXh0p+bxksWzAAAbN23HkKHjBKWShzGe36+jXbtWqFSpPAICTOeXrfOhl/FRr6GY6zcFX08bi7v3ovHllzPx66+7RUeTlIdHfRz5898xJosWzQQAbNq8A8OGjX/R04ySqZ7fJB+FWsRUTP/j7++Pv//+G3/88cdzt48aNQrff//9G19uZF6snBTxqIhIP2r8d+J9Hlsv07s5HJkeeS9+JdGUSuGTXgpRYKSXVb9Kfm7hvRwv00++S+Rsvv5ZtteSk9CzeerUqS/sYADAd999Z7TjGYiIiIiIjJXQy6WIiIiIiAodjsnQm2nWJYmIiIiIyGBYySAiIiIi0sbL9fXGSgYREREREUmKlQwiIiIiIm0ck6E3VjKIiIiIiEhSrGQQEREREWlTc0yGvljJICIiIiIiSbGSQURERESkjWMy9MZKBhERERFREVBQUIDp06fDzc0NVlZWqFq1Kr755huo1f92itRqNWbMmIGyZcvCysoKXl5euHnzps5xkpKS0L9/f9jZ2aFkyZIYMmQIMjIyJM3KTgYRERERkRa1SiXb8iYWLFiANWvW4Ntvv0VERAQWLFiAhQsXYtWqVZp9Fi5ciJUrV+L777/HuXPnYGNjgw4dOiA7O1uzT//+/XHt2jUcOXIE+/fvx8mTJzF8+HDJ/v0AXi5FRERERFQknDlzBt26dYOPjw8AoHLlyvj1118RHBwM4GkVY/ny5fj666/RrVs3AMCmTZvg7OyMPXv2oE+fPoiIiMChQ4cQEhKCxo0bAwBWrVqFTp06YfHixXB1dZUkKysZRERERETaVGrZlpycHKSlpeksOTk5z4317rvvIjAwEDdu3AAAXL58GadOnULHjh0BAHfv3kVcXBy8vLw0z7G3t0ezZs0QFBQEAAgKCkLJkiU1HQwA8PLyglKpxLlz5yT7J2Qng4iIiIhIEH9/f9jb2+ss/v7+z913ypQp6NOnD2rVqgULCws0bNgQY8eORf/+/QEAcXFxAABnZ2ed5zk7O2u2xcXFwcnJSWe7ubk5SpcurdlHCrxcioiIiIhIkKlTp2L8+PE66ywtLZ+77/bt2/HLL79gy5YtqFOnDi5duoSxY8fC1dUVgwYNkiPua2Mng4iIiIhIm4xT2FpaWr6wU/FfEydO1FQzAKBevXq4f/8+/P39MWjQILi4uAAA4uPjUbZsWc3z4uPj0aBBAwCAi4sLEhISdI6bn5+PpKQkzfOlwMuliIiIiIiKgKysLCiVur++m5mZQfW/Warc3Nzg4uKCwMBAzfa0tDScO3cOnp6eAABPT0+kpKQgNDRUs8+xY8egUqnQrFkzybKykkFEREREpE39ZlPLyqVLly6YO3cuKlasiDp16uDixYtYunQpBg8eDABQKBQYO3Ys/Pz8UL16dbi5uWH69OlwdXVF9+7dAQDvvPMOvL29MWzYMHz//ffIy8vD6NGj0adPH8lmlgLYySAiIiIiKhJWrVqF6dOnY9SoUUhISICrqys+++wzzJgxQ7PPpEmTkJmZieHDhyMlJQUtW7bEoUOHULx4cc0+v/zyC0aPHo127dpBqVSiZ8+eWLlypaRZFWrtWwQaCfNi5URHIBmlH50rOoIQtl7TREcgMjiF6AAkq/9eBmIqCt7whmzGIj83RnSEF8oY31W21yqxdK9sryUnVjKoyDPVX7bT//xGdAQhbNtPFx1BCFP9Zdvo/gpGL2Wqv2wTGSN2MoiIiIiItKhlnF3KWJlmXZKIiIiIiAyGlQwiIiIiIm2sZOiNlQwiIiIiIpIUKxlERERERNo4CYHeWMkgIiIiIiJJsZJBRERERKSNYzL0xkoGERERERFJipUMIiIiIiJtrGTojZUMIiIiIiKSFCsZRERERERa1GpWMvTFSgYREREREUmKlQwiIiIiIm0ck6E3VjKIiIiIiEhS7GQQEREREZGkeLkUEREREZE2Xi6lN1YyiIiIiIhIUqxkEBERERFpUbOSoTdWMoiIiIiISFKsZBARERERaWMlQ2+sZBARERERkaTYyZDQyBGDcOvGWWSk3caZU/vQpHED0ZEMqlXLZtizOwBR90KRnxuDrl07iI4kC2Ntd2Z2DhZuO4qOU9eg2egl+HjBZly9F6vZ/jgtE9MDDuCDSavRfPQSjFqxHffjk557LLVaDd+V29HgswU4dumGXE0wKFM7v6dPH4+83Bid5cqVE6JjycbU3u/Phn+MC6FHkJR4HUmJ13Hq5F54d2gjOpbsJk30RX5uDJYsni06ikFNnjQaQWcOIPlxJB4+uIxdO9ehRo2qomMVLioZFyPFToZEevXqisWLZuIbv6Vo0swbl8PC8ceBX+DoWEZ0NIOxsbFGWFg4xnwxTXQUWRlru2dvOoSzEffg92ln7JgxGJ613TBi2VbEJ6dDrVZj3He/IeZRCpaN6oGtX3+CsmXsMGL5NjzJyX3mWD8HngcUCgGtMAxTPL8B4Oq16yhfoYFmef/97qIjycIU3++YmFhMm+aPps07oplnJ/x1/DR+27UetWvXEB1NNo093DFs6ABcDgsXHcXg3mvVHGvWbESLVl3g3akvLMwtcPDAFlhbW4mORkaEnQyJjPtiGH5atwUbN21HRMRNjPKdgqysJ/j0kz6ioxnMocN/YcbMhfj990Oio8jKGNudnZuHwIuRGNuzDTxqVEBFp1IY2aUlKjiVwo4TFxGVkIywuw/xVf/2qFu5LCq7lMG0fh2QnZePgyEROse6Hh2PzUeCMfvjjoJaIz1TPL8BoCC/APHxjzTL48fJoiPJwhTf7/0HjuDgoWO4desubt68g+kzFiAjIxPNmjYSHU0WNjbW2LTpW4wYOQkpySmi4xicT5cB2LR5O8LDbyAsLByDh45FpUrl4dGovuhohYZapZZtMVbsZEjAwsICjRrVR+CxvzXr1Go1Ao+dQvPmHgKTEb2eApUKBSo1LM3NdNZbWpjj4u0HyM0v0Dz+h1KpQDFzM1y89UCz7kluHr5atw9T+7aHg30JecIbmCmf39WqueH+vVBEXj+DTRtXoUIFV9GRDM6U3+9/KJVK9O7dFTY21jh7LlR0HFmsWjkPB/8I1HnfTYm9vR0AIMkEOlgkH+GzS0VERODs2bPw9PRErVq1cP36daxYsQI5OTkYMGAA2rZt+9Ln5+TkICcnR2edWq2GQsZLNRwcSsPc3BwJ8Yk66xMSHqFWTV7jSIWfTXFL1K/iih//OAO3smVQxs4Gh4IjEHbnISo4lUJll9IoW9oOK3efwPT+3rCytMDPR0MQn5yOxNQMzXEWbw+Ee5VyaNOgusDWSMtUz+/g4IsYMnQcbty4DRcXJ0z/ejz+OrYbDRq2RUZGpuh4BmOq7zcA1K1bC6dO7kXx4pbIyMjER72GIiLipuhYBte7d1c0bFgXzT19REcRQqFQYOni2Th9OhjXrkWKjlN4GHGFQS5COxmHDh1Ct27dUKJECWRlZWH37t34+OOP4e7uDpVKhfbt2+PPP/98aUfD398fs2frDtBSKEtAYWZn6PhERmXu4M6YtfEg2k/+DmZKBWpVdIF3k3cQERUHCzMzLBnxIWZtOoj3xq+AmVKBZrUqo0XdKoD66Rfx8cs3ERwZhW3TPhHbEJLE4cN/af7/ypUIBAdfxO1b59Droy7YELBVYDIylMjI2/Bo0h72drbo2dMH69ctR1uvnkbd0Shf3hXLlsyBd6e+z/zB0lSsWjkPderUROs2H4qOQkZGaCdjzpw5mDhxIvz8/LB161b069cPI0eOxNy5cwEAU6dOxfz581/ayZg6dSrGjx+vs65UmVoGzf1fiYlJyM/Ph5Ozg856JydHxMU/kjUL0duq4FgK6yb0w5OcXGRk58LRvgQm/fg7yjmUBADUruSC7dM/RfqTHOTlF6C0rTUG+G9C7UouAIDg6/fx4FEyWo1brnPcCd/vQcPq5bHuy34yt0gaPL+fSk1Nw82bd1C1WmXRUQzKlN/vvLw83L59DwBw4eIVNPZogDGjh2KU72SxwQyoUaN6cHZ2RMi5f8fYmZubo1Wr5vAd9QmsS7hBpTLe6X9WLPeDTycvtGnXAzExsa9+gikx3rddNkLHZFy7dg2ffPIJAKB3795IT0/HRx99pNnev39/hIWFvfQYlpaWsLOz01nkvFQKePrFfOFCGNq2aalZp1Ao0LZNS5w9axrXs5LxsLIsBkf7EkjLzMaZ8Lt431330idbK0uUtrXG/fgkhN+Pw/v/uzRqsHdz7Jg+GNu+/lSzAMCE3m0xZ1An2dshFZ7fT9nYWKNKlUqIi00QHcWg+H7/S6lUwtKymOgYBnXs2Cm4N2wLjybtNUvI+UvY8utueDRpb/QdjO7dvPFBh964dy9adBwyQsLHZPzTIVAqlShevDjs7e0122xtbZGamioq2htZtmItNqxbhtALYQgJuYjPxwyDjY0VAjZuEx3NYGxsrFGtmpvmsVvlinB3r4OkpGRERz8UmMywjLXdZ67dgVoNVHYpjaiEZCzbdRxuLqXRrUU9AMCfoddRqoQ1ypa2w82YR1i4/SjaNKiOd2s//bdwsC/x3MHeLqXtNNWQosoUz+8F86dj/4EjiIp6ANeyLpgx40sUFKiwddse0dEMzhTf77l+U3Do0F+Iio6BrW0J9O3THa1be6KTT9GsQL6ujIzMZ8YhZGVm4fHjZKMen7Bq5Tz07dMdPXoORnp6BpydHQEAqanpyM7OFpyucDDmWZ/kIrSTUblyZdy8eRNVqz4dTBcUFISKFStqtkdFRaFs2bKi4r2RHTv2wtGhNGbNmAAXF0dcvnwNPp0HICEh8dVPLqIae7gj8OhOzeMli2cBADZu2o4hQ8cJSmV4xtru9Cc5WLX7JOJT0mFvXRztGtXE6O7vwcLs6YxTiakZWLLjGB6nZcLRvgQ6N6+D4T4tBKeWhyme3+XKl8XPm1ejTJlSePQoCafPBKNlqy5ITHz+DRiNiSm+346ODtiwfgXKlnVCamo6rlyJQCeffjgaaJqzLRm7kSMGAQCOBe7SWT94yDhs2rxdRCQyQgq1Wi2sq/b999+jQoUK8PF5/owOX331FRISEvDTTz+90XHNi5WTIh5RoZb+5zeiIwhh23666AhCGM+tDd8M/5ZIZLzyc2NER3ih5J7vy/ZapXYdl+215CS0kjFixIiXbp83b55MSYiIiIiISCq8GR8REREREUlK+MBvIiIiIqLChAO/9cdKBhERERERSYqVDCIiIiIibcZ7ixTZsJJBRERERESSYiWDiIiIiEiLmpUMvbGSQUREREREkmIlg4iIiIhIGysZemMlg4iIiIiIJMVKBhERERGRFo7J0B8rGUREREREJClWMoiIiIiItLGSoTdWMoiIiIiISFKsZBARERERaeGYDP2xkkFERERERJJiJYOIiIiISAsrGfpjJYOIiIiIiCTFSgYRERERkRZWMvTHSgYREREREUmKlQwiIiIiIm1qhegERR47GURFlG376aIjCJG+c5zoCELYfrRMdAQhlArT/EGvUqtFRyAZmernnIwbL5ciIiIiIiJJsZJBRERERKSFA7/1x0oGERERERFJipUMIiIiIiItahXHyeiLlQwiIiIiIpIUKxlERERERFo4JkN/rGQQEREREZGkWMkgIiIiItKi5s349MZKBhERERERSYqVDCIiIiIiLRyToT9WMoiIiIiISFKsZBARERERaeF9MvTHSgYREREREUmKlQwiIiIiIi1qtegERR8rGUREREREJClWMoiIiIiItHBMhv5YySAiIiIiIkmxkkFEREREpIWVDP2xkkFERERERJJiJ4OIiIiIiCTFy6WIiIiIiLRwClv9sZIhgVYtm2HP7gBE3QtFfm4MunbtIDqSLEy13f81aaIv8nNjsGTxbNFRZDFyxCDcunEWGWm3cebUPjRp3EB0JL1kZudi4e9B6Dj3VzSbuh4ff/s7rkY/0myfvvU4Gkxcq7OMWnvwucfKzS9A76W70GDiWlyPeSxXEwzK2N7v/2rZshl2/7YB9+6eR27Og+d+j82cMQH374UiNeUWDh78FdWquQlIalifDf8YF0KPICnxOpISr+PUyb3w7tBGdCzZGPvn/HlKlLDB4sWzcPPGWaSm3MKJ43vg4eEuOhYZEXYyJGBjY42wsHCM+WKa6CiyMtV2a2vs4Y5hQwfgcli46Ciy6NWrKxYvmolv/JaiSTNvXA4Lxx8HfoGjYxnR0d7a7J1/4+zNB/Dr+z52fNkTnjXKY8SPBxCfmqnZp0XN8jg6vb9mmd+/7XOPtezAOTja28gV3eCM8f3+r3++x7744uvnbp/w5Sj4+n6K0WOmomXLLsjKzML+/T/D0tJS5qSGFRMTi2nT/NG0eUc08+yEv46fxm+71qN27RqioxmcKXzOn+eH7xfBq10rfDr4CzTy8MLRoydx6OCvcHV1ER2tUFCrFLItxqrQdTLURbA+dejwX5gxcyF+//2Q6CiyMtV2/8PGxhqbNn2LESMnISU5RXQcWYz7Yhh+WrcFGzdtR0TETYzynYKsrCf49JM+oqO9ley8fAReuYuxPs3gUaUsKjrYY2R7D1QoY48dQf92HC3MzeBgZ61Z7Kyf/QXz1PVonL0Rg/Gdm8nZBIMytvf7eQ4f/gszZy3C73uf/z02ZswQ+M9fiX37/sSVqxH4dPBYuJZ1Rjcjq9zuP3AEBw8dw61bd3Hz5h1Mn7EAGRmZaNa0kehoBmcKn/P/Kl68OD78sBOmfjUXp06dw+3b9/CN31Lcvn0Pnw0fKDoeGYlC18mwtLRERESE6BhEr7Rq5Twc/CMQgcf+Fh1FFhYWFmjUqL5Oe9VqNQKPnULz5h4Ck729ggIVClRqWJqb6ay3tDDDxbvxmsfnb8eizazN6LZwO+buOoWUzGyd/R+nZ2HOzr/h1+d9FLcwjqFuxvh+vyk3t4ooW9YZxwL//TdIS0tHcPAlNDPifwOlUonevbvCxsYaZ8+Fio5jUKb6OTc3N4O5uTmys3N01j95ko13320qKFXholYrZFuMlbCfhuPHj3/u+oKCAsyfPx9lyjwtUy5duvSlx8nJyUFOju5JolaroVAY75tG4vXu3RUNG9ZFc08f0VFk4+BQGubm5kiIT9RZn5DwCLVqVhWUSj82xYuhfiUn/Hj0ItycSqKMrRUOXbyNsPsJqOBgBwBoUasC2tVzQ7nStoh+nIZvD4bAd90hbBrdFWZKJdRqNWZsO4FezWuhTgVHxCSlC26VNIzx/X5Tzs6OAID4hGf/DVz+t82Y1K1bC6dO7kXx4pbIyMjER72GIiLipuhYBmWqn/OMjEwEBZ3HV1PH4vr1W4iPf4Q+/9cdzZt74Pbte6LjkZEQ1slYvnw53N3dUbJkSZ31arUaERERsLGxea2Ogr+/P2bP1h1wq1CWgMLMTsq4RBrly7ti2ZI58O7U95kOLhU9c/u0wawdJ9DebwvMlArUKucA7wZVERHz9JcO7wb//qJRvWxp1ChbGp3nb8P527FoVr0cfj19DZk5eRjctoGgFhBJIzLyNjyatIe9nS169vTB+nXL0darp9F3NEzVp4O/wI8/LMH9e6HIz8/HxYtXsW3b72jUqJ7oaIWCWiU6QdEnrJMxb948/Pjjj1iyZAnatv13EKWFhQUCAgJQu3bt1zrO1KlTn6mKlCpTS9KsRNoaNaoHZ2dHhJz79xpuc3NztGrVHL6jPoF1CTeoVMb37ZSYmIT8/Hw4OTvorHdyckRc/KMXPKvwq+Bgh3Uju+BJbh4ysvPgaGeNST8Holxp2+fuX76MHUrZFEd0YhqaVS+H4FsPEXY/AU2nrtfZr//K3ejYsBr8+rwvQyukZ6zv95uI/187nZ0cEBeXoFnv5OSIy2HXRMUymLy8PM1fsS9cvILGHg0wZvRQjPKdLDaYAZny5/zOnfvw+uAjWFtbwc7OFnFxCfjl5+9w526U6GhkJISNyZgyZQq2bduGkSNHYsKECcjLy3ur41haWsLOzk5n4aVSZEjHjp2Ce8O28GjSXrOEnL+ELb/uhkeT9kbZwQCe/gJy4UIY2rZpqVmnUCjQtk1LnD1b9K/btipmAUc7a6Rl5eBM5AO8X6fSc/eLT8lASlY2HOysAQCTu72L7eN7YNu4p8uqwd4AgAX922GMd2PZ8kvN2N/v13H3bhRiY+PRpu2//wa2tiXQtGkDnDOBfwOlUglLy2KiYxgUP+dAVtYTxMUloGRJe3zwQWvs2/en6EiFgkqtkG0xVkJHKDZp0gShoaHw9fVF48aN8csvvxTJDoKNjbXOvOlulSvC3b0OkpKSER39UGAywzLVdmdkZOLatUiddVmZWXj8OPmZ9cZm2Yq12LBuGUIvhCEk5CI+HzMMNjZWCNi4TXS0t3YmMhpqNVDZyR5RiWlYtv8c3JxKoluTmsjKycP3Ry7Aq15llLG1xoPHaVh+IBgVytjh3ZrlAQBlS5XQOZ5VMQsATyseziVLPPN6RYkxvt//ZWNjjWpVK2seV65cAe71ayMpOQXR0Q+xatU6TJ3yOW7duot7d6Mxa9YEPIyNx+97D4sLbQBz/abg0KG/EBUdA1vbEujbpztat/ZEJ59+oqMZnCl8zp/ngw9aQ6FQ4MaN26hatTLm+3+NyMjb2Gjk7Sb5CJ8GpUSJEti4cSO2bt0KLy8vFBQUiI70xhp7uCPw6E7N4yWLZwEANm7ajiFDxwlKZXim2m5TtmPHXjg6lMasGRPg4uKIy5evwafzACT8Z2BsUZKenYtVf4QgPjUT9taWaFfPDaO9m8DCTIkClQo3Yx9j3/kbSM/OhaOdNTxrlIdvBw8U+8+MVMbIGN/v//LwcMfRIzs0jxcvmgUA2LRpO4YOG4/FS76DjY01vlu9ACVL2uH0mRB06TLA6MZjOTo6YMP6FShb1gmpqem4ciUCnXz64Wig8c+eZwqf8+ext7PFN35TUL5cWSQlpWD3noOYMWMB8vPzRUcrFArzrE8xMTGYPHkyDh48iKysLFSrVg0bNmxA48ZPq+dqtRozZ87E2rVrkZKSghYtWmDNmjWoXr265hhJSUkYM2YM9u3bB6VSiZ49e2LFihUoUUK6P44p1IXoxhQPHjxAaGgovLy8YGPz9je0Mi9WTsJURFSYpO80zQ6s7UfLREcQQlkEq9tSUBWeH80kA1P9nOfmPBAd4YUia3WU7bVqXj/42vsmJyejYcOGaNOmDUaOHAlHR0fcvHkTVatWRdWqTycqWbBgAfz9/bFx40a4ublh+vTpuHLlCsLDw1G8eHEAQMeOHREbG4sffvgBeXl5+PTTT9GkSRNs2bJFsnYVqk6GVNjJIDJe7GSYFlP95YudDNNiqp/zwtzJuF6jk2yvVevGH6+975QpU3D69Gn8/ffzq4xqtRqurq748ssvMWHCBABAamoqnJ2dERAQgD59+iAiIgK1a9dGSEiIpvpx6NAhdOrUCQ8ePICrq6v+jUIhvBkfEREREZGpyMnJQVpams7yoksy9+7di8aNG6NXr15wcnJCw4YNsXbtWs32u3fvIi4uDl5eXpp19vb2aNasGYKCggAAQUFBKFmypKaDAQBeXl5QKpU4d+6cZO1iJ4OIiIiISItaLd/i7+8Pe3t7ncXf3/+5ue7cuaMZX3H48GGMHDkSn3/+OTZu3AgAiIuLAwA4OzvrPM/Z2VmzLS4uDk5OTjrbzc3NUbp0ac0+UhA+8JuIiIiIyFQ9755vlpaWz91XpVKhcePGmDdvHgCgYcOGuHr1Kr7//nsMGjTI4FnfBCsZRERERERa1CqFbMvz7vn2ok5G2bJln7lh9TvvvIOoqKc3UXRxcQEAxMfH6+wTHx+v2ebi4oKEhASd7fn5+UhKStLsI4W37mTk5ubiwYMHiIqK0lmIiIiIiEh6LVq0QGSk7j25bty4gUqVnt5A1s3NDS4uLggMDNRsT0tLw7lz5+Dp6QkA8PT0REpKCkJD/73h5LFjx6BSqdCsWTPJsr7x5VI3b97E4MGDcebMGZ31arUaCoWiSN7ngoiIiIjoH4X1Ttzjxo3Du+++i3nz5qF3794IDg7Gjz/+iB9//BHA0zvWjx07Fn5+fqhevbpmCltXV1d0794dwNPKh7e3N4YNG4bvv/8eeXl5GD16NPr06SPZzFLAW3QyPvnkE5ibm2P//v0oW7ZskbxDNxERERFRUdOkSRPs3r0bU6dOxZw5c+Dm5obly5ejf//+mn0mTZqEzMxMDB8+HCkpKWjZsiUOHTqkuUcGAPzyyy8YPXo02rVrp7kZ38qVKyXN+sb3ybCxsUFoaChq1aolaRAp8T4ZRMaL98kwLaZ6/wDeJ8O0mOrnvDDfJ+Nqlc6yvVbdO/tley05vXElo3bt2khMTDREFiIiIiIi4dSF9HKpouS1Bn5r3xxkwYIFmDRpEo4fP47Hjx8/c/MQIiIiIiIyba9VyShZsqTO2Au1Wo127drp7MOB30RERERkDHjFov5eq5Px119/GToHEREREREZidfqZLRu3Vrz/1FRUahQocIzs0qp1WpER0dLm46IiIiISGaFdQrbouSNb8bn5uaGR48ePbM+KSkJbm5ukoQiIiIiIqKi641nl/pn7MV/ZWRk6My/S0RERERUFHF2Kf29didj/PjxAJ7eSXD69OmwtrbWbCsoKMC5c+fQoEEDyQMSEREREVHR8tqdjIsXLwJ4Wsm4cuUKihUrptlWrFgxuLu7Y8KECdInJCIiIiKSEWeX0t9rdzL+mWHq008/xYoVK2BnZ2ewUEREREREVHS98ZiMDRs2GCIHEREREVGhwNml9PfGnYy2bdu+dPuxY8feOgwRERERERV9b9zJcHd313mcl5eHS5cu4erVqxg0aJBkwYjo5Uz1byy2Hy0THUGItEVdREcQwn7iPtERSEam+r2m4gCAQoezS+nvjTsZy5Y9/wf8rFmzkJGRoXcgIiIiIiIq2t74ZnwvMmDAAKxfv16qwxERERERCaFSK2RbjJVknYygoCDejI+IiIiIiN78cqkePXroPFar1YiNjcX58+cxffp0yYIREREREYnAUTL6e+NOhr29vc5jpVKJmjVrYs6cOWjfvr1kwYiIiIiIqGh6o05GQUEBPv30U9SrVw+lSpUyVCYiIiIiIirC3mhMhpmZGdq3b4+UlBQDxSEiIiIiEosDv/X3xgO/69atizt37hgiCxERERERGYE37mT4+flhwoQJ2L9/P2JjY5GWlqazEBEREREVZWq1QrbFWL32mIw5c+bgyy+/RKdOnQAAXbt2hULx7z+MWq2GQqFAQUGB9CmJiIiIiKjIeO1OxuzZszFixAj89ddfhsxDRERERCSUSnQAI/DanQy1+umMwa1btzZYGCIiIiIiKvreaApb7cujiIiIiIiMkRr8nVdfb9TJqFGjxis7GklJSXoFIiIiIiKiou2NOhmzZ89+5o7fRERERETGRKUWnaDoe6NORp8+feDk5GSoLEREREREZAReu5PB8RhEREREZApUHJOht9e+Gd8/s0sRERERERG9zGtXMlQqzhhMRERERMaPs0vp77UrGURERERERK+DnQwJTJ40GkFnDiD5cSQePriMXTvXoUaNqqJjyWbkiEG4deMsMtJu48ypfWjSuIHoSLIwxXa7urpgY8BKxMVeRVrqLVy8cBQejeqLjmVQrVo2w57dAYi6F4r83Bh07dpBdCT9KRSwaN4FxT/xg5XvShQf9A3Mm3Z6drdSLijWZSSsRiyD1agVsOwzBQrbUjr7KF3cYNljLKxGrYDViGWw/OhLwMxCrpZITqlUYtasibgRGYS01Fu4HnEaX301VnQsgzPKz/lrMsXvNVP/veV1qGRcjBU7GRJ4r1VzrFmzES1adYF3p76wMLfAwQNbYG1tJTqawfXq1RWLF83EN35L0aSZNy6HheOPA7/A0bGM6GgGZYrtLlnSHieO70FeXj66dBmA+u5tMHHSHCSnpIqOZlA2NtYICwvHmC+miY4iGfPGHWBevzVyj29F9qbZyDu9GxYe7WHu3kazj8LeAcV7TYA6KR7Zu5Yi+5dvkH/uD6jz8zX7KF3cYNn9cxRERSB763xkb52P/MvHARTdMXwTJ/ris+Ef44uxX6Ne/ffx1bR5mPDlSIz2HSw6mkEZ4+f8dZjq95op/95C8lGojXBEt3mxckJf38GhNOIeXkGbtj3w96lzQrMY2plT+xBy/jK+GPs1gKezkN27E4LV323AwkWrBacznMLQbrmvFp07dyre9WyCNm17yPzKukR+YeXnxqDHR4Oxd+9h2V87bVEXyY5l2XUU1FnpyD26WbOumM9wID8PuYc3PH3sPQRQFSD3z4AXH6f3JKiiIpB3dp9k2f7LfqLhjv08e3ZvRELCIwz/bIJm3bZtPyL7STYGffK5bDlM9XPO7zUxRP3ekp8bI9trvak/nfvI9lrt47fK9lpyYiXDAOzt7QAASckpYoMYmIWFBRo1qo/AY39r1qnVagQeO4XmzT0EJjMsU213587tERoahl9//QExDy4jJPgwhgzuJzoWvYWC2DtQVqgFRcmn9z1SOJSDmWs1FNy79r89FDBzqwdVSgIsu4+B1bCFsPy/yTCr4v7vQaxsYVa2CtRP0mHZa+LTfXqOh9K1aF9yEXT2PNq0aYnq1asAAOrXr40W7zbFocN/CU5GhsDvtadM5fcWktcb3YyPXk2hUGDp4tk4fToY165Fio5jUA4OpWFubo6E+ESd9QkJj1CrZtH+ReNlTLXdVdwq4rPPBmL5irVYsGAlGns0wLJlc5Cbl4fNm3eIjkdvID/kMBTFiqP4x7Oe3tZWqUDemd9REBn8dAdrWyiKFYdF4w7IC9qL3FO7YVa5Dop1/gw5u5ZBFXMTSnsHAIBFs87IPbULqkcPYP5Oc1h+OBbZv3wDdUqCuAbqYeHCb2FnVwJXr5xAQUEBzMzMMH3GAvz6627R0cgA+L1mWr+3vAljHishl0LVycjMzMT27dtx69YtlC1bFn379kWZMi+/xj0nJwc5OTk669RqtbCbB65aOQ916tRE6zYfCnl9IkNRKpUIDQ3D9OnzAQCXLl1DnTo1MXzYQJP5YWwszGp4wKxmU+QeWg/V44dQOlZAsfd6QZ2ZioKIs5rvz4I7l5F/MRAAkJ/4AMqyVWBe7z3kxtwE/rdP/tW/URAeBADIexQNswo1YV77XeSd2SOkbfrq1asL+vbpgYEf+yI8/Abc3etgyeLZiI2N5+fcCPF7jb+3kOEIvVyqdu3aSEpKAgBER0ejbt26GDduHI4cOYKZM2eidu3auHv37kuP4e/vD3t7e51FrUqXI/4zViz3g08nL3i174WYmFghGeSUmJiE/Px8ODk76Kx3cnJEXPwjQakMz1TbHRubgIiIGzrrrl+/hQoVXAUlordl0bIH8s8fRsGN81A/foiC6+eQdzEQFo29AQDqJxlQFxRA9Vj3e0ydFAeFbemn/5/5dGDsf/dRae1TFM33n45Fi77F9u17cfXqdfzyyy6sWLkWkyaNFh2NDMDUv9dM7fcWkpfQTsb169eR/7+ZSqZOnQpXV1fcv38fwcHBuH//PurXr49p014+08XUqVORmpqqsyiUtnLE17FiuR+6d/PGBx164969aNlfX4S8vDxcuBCGtm1aatYpFAq0bdMSZ8+GCkxmWKba7jNBIc9McVi9ehVERRXegXv0fArzYsB/5/xQqzTVCagKoIq/B2UpZ93nlXSGOv3x093THkOVkfLMPsqSTpp9iiJrayuoVLr/NgUFBVAqOYTRGJny95op/t7yJjiFrf4KzeVSQUFB+P7772Fvbw8AKFGiBGbPno0+fV4+ut/S0hKWlpY66+S+VGrVynno26c7evQcjPT0DDg7OwIAUlPTkZ2dLWsWuS1bsRYb1i1D6IUwhIRcxOdjhsHGxgoBG7eJjmZQptjulSvW4uTJ3zF58hjs3LkPTZo0wNCh/TFy1CTR0QzKxsYa1aq5aR67Va4Id/c6SEpKRnT0Q4HJ3l7B3Sswb9IRqvQkqB/HQulUARYNvZAffkazT/6FIyjWcSjMYm5B9SASZpXqwKxKPeTsWvrvPqF/wqJ5F6gSY6B6FA3zd5pDUdoF+X/8KKJZkjhw4AimTPkcUdExCA+PRIMGdTH2i+EI2Gics7/8wxg/56/DVL/XTPn3FpKP0ClslUol4uPj4ejoiHLlyuHw4cOoW7euZvv9+/dRq1YtPHny5I2OK/cUti+agm3wkHHYtHm7rFlEGDXyE3w5fiRcXBxx+fI1jB03A8EhF0XHMjjR7RYx6qhTJy/M9ZuCatXccPdeNFYs/xHr1m+RNYPcX1it3/NE4NGdz6zfuGk7hgwdJ1sOKaewhYUlLDy7wqxqAyisbaHOSEXBjRDknTsAqAo0u5nVfhcWTbyhKFES6uR45J3dj4I7l3UO9c89NxTFbaB69AB5p3+D6uFtyaLKPYVtiRI2mD1rErp184aTUxk8fBiPbdt/h5/fMuTl5cmWw1Q/5/xek0dh+b2lME9he8C5r2yv5RP/q2yvJSfhnYy6devC3NwcN2/eREBAAHr27KnZfvLkSfTr1w8PHjx4o+OKvk8GkRzETG0gnuj55EWRtJNRhMjdySgsTPVzzu8108JOxlPG2skQernUzJkzdR6XKFFC5/G+ffvQqlUrOSMRERERkYlTmWqPV0KFqpPxX4sWLZIpCRERERERSaXQDPwmIiIiIioMVCZ78Z50OCcfERERERFJipUMIiIiIiItpjoYX0qsZBARERERkaRYySAiIiIi0mLMd+KWCysZREREREQkKVYyiIiIiIi0qBScXUpfrGQQEREREZGkWMkgIiIiItLC2aX0x0oGERERERFJipUMIiIiIiItnF1Kf6xkEBERERGRpNjJICIiIiIiSfFyKSIiIiIiLSrOYKs3VjKIiIiIiEhSrGQQEREREWlRgaUMfbGSQUREREREkmIlg4iIiIhIC2/Gpz9WMoiIiIiISFKsZBARERERaeHsUvpjJ4OoiGIp17TYTdwnOoIQ6Tu+EB1BCNteK0RHEILfa0TGg50MIiIiIiItKtEBjADHZBARERERkaRYySAiIiIi0sJL9/THSgYREREREUmKlQwiIiIiIi2cXUp/rGQQEREREZGkWMkgIiIiItLC2aX0x0oGERERERFJipUMIiIiIiItrGToj5UMIiIiIiKSFCsZRERERERa1JxdSm+sZBARERERkaTYySAiIiIiIknxcikiIiIiIi0c+K0/VjKIiIiIiEhSrGQQEREREWlhJUN/rGQQEREREZGkWMkgIiIiItKiFh3ACLCSQURERERUxMyfPx8KhQJjx47VrMvOzoavry/KlCmDEiVKoGfPnoiPj9d5XlRUFHx8fGBtbQ0nJydMnDgR+fn5kudjJ4OIiIiISItKId/yNkJCQvDDDz+gfv36OuvHjRuHffv2YceOHThx4gQePnyIHj16aLYXFBTAx8cHubm5OHPmDDZu3IiAgADMmDFDn3+u52InQwKfDf8YF0KPICnxOpISr+PUyb3w7tBGdCyDM9V2t2rZDHt2ByDqXijyc2PQtWsH0ZFkNXLEINy6cRYZabdx5tQ+NGncQHQkgzLV93vypNEIOnMAyY8j8fDBZezauQ41alQVHUtvmdm5WLj3LDrO24pmXwXg49X7cDX60XP39dt1Gg0mrcPPf1/VrAu5HYsGk9Y9d3nRcYoCU/2c/8PUvtf+YartLuoyMjLQv39/rF27FqVKldKsT01Nxbp167B06VK0bdsWHh4e2LBhA86cOYOzZ88CAP7880+Eh4fj559/RoMGDdCxY0d88803WL16NXJzcyXNyU6GBGJiYjFtmj+aNu+IZp6d8Nfx0/ht13rUrl1DdDSDMtV229hYIywsHGO+mCY6iux69eqKxYtm4hu/pWjSzBuXw8Lxx4Ff4OhYRnQ0gzHV9/u9Vs2xZs1GtGjVBd6d+sLC3AIHD2yBtbWV6Gh6mb3zFM7ejIFfn9bYMb4HPKuXw4i1BxGfmqmz37Gr9xAWlQBHO2ud9Q0qOeHo9L46y4dNa6BcaVvUKe8gZ1MkZaqfc8A0v9cA023361LJuOTk5CAtLU1nycnJeWE2X19f+Pj4wMvLS2d9aGgo8vLydNbXqlULFStWRFBQEAAgKCgI9erVg7Ozs2afDh06IC0tDdeuXXubf6oXYidDAvsPHMHBQ8dw69Zd3Lx5B9NnLEBGRiaaNW0kOppBmWq7Dx3+CzNmLsTvvx8SHUV2474Yhp/WbcHGTdsREXETo3ynICvrCT79pI/oaAZjqu+3T5cB2LR5O8LDbyAsLByDh45FpUrl4dGo/qufXEhl5+Uj8Oo9jO3UBB5VyqKigx1Gtm+ECmXssCMoQrNffGom5v8ehHl934e5me6PSQtzMzjYWmsWe+viOH4tCt0aV4dC8ZbXPRQCpvo5B0zzew0w3XYXRv7+/rC3t9dZ/P39n7vv1q1bceHCheduj4uLQ7FixVCyZEmd9c7OzoiLi9Pso93B+Gf7P9ukxE6GxJRKJXr37gobG2ucPRcqOo5sTLXdpsTCwgKNGtVH4LG/NevUajUCj51C8+YeApORHOzt7QAASckpYoPooaBAhQKVGpbmuhMrWlqY4+K9pwMjVSo1vt56AoNa10M1l1LPO4yOE+H3kZqVg26NjbuCa6xM9XvNVNv9JuSsZEydOhWpqak6y9SpU5/JFB0djS+++AK//PILihcvbqimS4ZT2Eqkbt1aOHVyL4oXt0RGRiY+6jUUERE3RccyOFNttylycCgNc3NzJMQn6qxPSHiEWjWL/rX69GIKhQJLF8/G6dPBuHYtUnSct2ZTvBjqV3LCj4EX4eZkjzK2Vjh06Q7C7iegQpmnnagNx8NgplSgX4s6r3XM3cE34FmjHJxL2hgyOhmIqX6vmWq7CytLS0tYWlq+cr/Q0FAkJCSgUaN/rxgpKCjAyZMn8e233+Lw4cPIzc1FSkqKTjUjPj4eLi4uAAAXFxcEBwfrHPef2af+2UcqQisZFy5cwN27dzWPN2/ejBYtWqBChQpo2bIltm7d+spjPO86NrVa/tmNIyNvw6NJe7zbojN++HET1q9bjnfeqS57DrmZaruJTMmqlfNQp05N9BswSnQUvc3t0xpQA+3nbkXTrwKw5fQ1eDeoAqUSCH+QiC2nrmFO7/de69Kn+JRMBN2IwYdNWcUgMjZqGZfX1a5dO1y5cgWXLl3SLI0bN0b//v01/29hYYHAwEDNcyIjIxEVFQVPT08AgKenJ65cuYKEhATNPkeOHIGdnR1q1679Zv9IryC0kvHpp59iyZIlcHNzw08//YTPP/8cw4YNw8CBAxEZGYlhw4YhKysLgwcPfuEx/P39MXv2bJ11CmUJKMzsDB1fR15eHm7fvgcAuHDxChp7NMCY0UMxyneyrDnkZqrtNkWJiUnIz8+Hk7Pu4FYnJ0fExRfdWXXo5VYs94NPJy+0adcDMTGxouPorUIZO6wb6YMnuXnIyM6Do501Jv18DOVK2+LC3TgkZT5BR/9tmv0LVGos3R+MX05dw8Gp/6dzrN/P34C9tSVa164kdzNIIqb6vWaq7S7qbG1tUbduXZ11NjY2KFOmjGb9kCFDMH78eJQuXRp2dnYYM2YMPD090bx5cwBA+/btUbt2bQwcOBALFy5EXFwcvv76a/j6+r5WNeVNCO1k3Lx5E9WrP/2r93fffYcVK1Zg2LBhmu1NmjTB3LlzX9rJmDp1KsaPH6+zrlSZWoYJ/AaUSiUsLYuJjiE7U223KcjLy8OFC2Fo26Yl9u49DODpZTRt27TEd2s2CE5HhrBiuR+6d/NGuw964d69aNFxJGVVzAJWxSyQlpWDMzdiMLZTE3jVq4zm1V119hv502F0blQN3RrrVmjVajV+P38TXTyqwcKMwxuLKlP9XjPVdr+Jt71/hWjLli2DUqlEz549kZOTgw4dOuC7777TbDczM8P+/fsxcuRIeHp6wsbGBoMGDcKcOXMkzyK0k2FtbY3ExERUqlQJMTExaNq0qc72Zs2a6VxO9TzPu45N7hk+5vpNwaFDfyEqOga2tiXQt093tG7tiU4+/WTNITdTbbeNjTWqVXPTPHarXBHu7nWQlJSM6OiHApMZ3rIVa7Fh3TKEXghDSMhFfD5mGGxsrBCwcdurn1xEmer7vWrlPPTt0x09eg5GenoGnJ0dAQCpqenIzs4WnO7tnYl8ADWAyo72iEpMw7IDwXBzske3JjVgYaZESRvdwZTmZkqUsbVCZaeSOuuDb8UiJikdHzatKV94AzLVzzlgmt9rgOm229gcP35c53Hx4sWxevVqrF69+oXPqVSpEv744w8DJxPcyejYsSPWrFmDn376Ca1bt8bOnTvh7u6u2b59+3ZUq1ZNYMLX4+jogA3rV6BsWSekpqbjypUIdPLph6OBf7/6yUWYqba7sYc7Ao/u1DxesngWAGDjpu0YMnScoFTy2LFjLxwdSmPWjAlwcXHE5cvX4NN5ABISEl/95CLKVN/vkSMGAQCOBe7SWT94yDhs2rxdRCRJpGfnYtXB84hPzYS9tSXa1auM0R0av3E1YndIJNwrOcHtP52PospUP+eAaX6vAabb7telEh3ACCjUIkZJ/8/Dhw/RokULVKxYEY0bN8aaNWvg4eGBd955B5GRkTh79ix2796NTp06vdFxzYuVM1BiIiKSU/qOL0RHEMK21wrREYgMLj83RnSEF5pfaYBsrzXl/s+yvZachF5I6urqiosXL8LT0xOHDh2CWq1GcHAw/vzzT5QvXx6nT59+4w4GERERERGJJfw+GSVLlsT8+fMxf/580VGIiIiIiN5oall6Pk6JQUREREREkhJeySAiIiIiKkxUrGXojZUMIiIiIiKSFCsZRERERERaOIWt/ljJICIiIiIiSbGSQURERESkhSMy9MdKBhERERERSYqVDCIiIiIiLRyToT9WMoiIiIiISFKsZBARERERaVEpRCco+ljJICIiIiIiSbGSQURERESkhXf81h8rGUREREREJClWMoiIiIiItLCOoT9WMoiIiIiISFKsZBARERERaeF9MvTHSgYREREREUmKlQwiIiIiIi2cXUp/rGQQEREREZGk2MkgIiIiIiJJ8XIpI6IQHYBkxUIumQLbXitERxAi48Ri0RGEKNF6gugIRAD4M1YKrGQQEREREZGkWMkgIiIiItLCKWz1x0oGERERERFJipUMIiIiIiItnMJWf6xkEBERERGRpFjJICIiIiLSwjqG/ljJICIiIiIiSbGSQURERESkhbNL6Y+VDCIiIiIikhQrGUREREREWtQclaE3VjKIiIiIiEhSrGQQEREREWnhmAz9sZJBRERERESSYiWDiIiIiEgL7/itP1YyiIiIiIhIUqxkEBERERFpYR1Df6xkEBERERGRpNjJICIiIiIiSfFyKSIiIiIiLRz4rT9WMoiIiIiISFLsZEigVctm2LM7AFH3QpGfG4OuXTuIjiSL6dPHIy83Rme5cuWE6FiycHV1wcaAlYiLvYq01Fu4eOEoPBrVFx3LoEz1c/6PkSMG4daNs8hIu40zp/ahSeMGoiPJgu0ueu0OjbyHMcu2wGvsYrh/MgvHQiN0tqvVaqz+7RjafbEYTYf5YfjCjbgf91hnn9SMLEz9fhfeHTEPLUf6Y+a635GVnaOzz+Hgq+g9fQ2aDfeD95fLEPDHaYO3TWqTJ41G0JkDSH4ciYcPLmPXznWoUaOq6FiymzTRF/m5MViyeLboKIWGSsbFWLGTIQEbG2uEhYVjzBfTREeR3dVr11G+QgPN8v773UVHMriSJe1x4vge5OXlo0uXAajv3gYTJ81Bckqq6GgGZcqf8169umLxopn4xm8pmjTzxuWwcPxx4Bc4OpYRHc2g2O6i2e4nOXmoWdEZUwf6PHf7hj9O49cj5/D1oM74ecZQWFkWw8glm5GTm6fZZ+oPv+F2TAK+n/gxVo7rhws37mNOwD7N9lNhN/HVD7/hozaNsctvFL4a6IOf/wzCr0fPGbx9UnqvVXOsWbMRLVp1gXenvrAwt8DBA1tgbW0lOppsGnu4Y9jQAbgcFi46ChkZdjIkcOjwX5gxcyF+//2Q6CiyK8gvQHz8I83y+HGy6EgGN3HiKDx48BBDh41HyPlLuHcvGkePnsSdO/dFRzMoU/6cj/tiGH5atwUbN21HRMRNjPKdgqysJ/j0kz6ioxkU2100292yfnWM7tkO7TzeeWabWq3GL3+exbCu76FNo1qoUcEFfsM+xKPkdBy7cB0AcOfhI5y+cgszB3dF/arl0ahGJUzp3xGHzl1FQnIaAGD/mcto07AWerdtgvJOpfFegxoY7NMKG/44DbW66FzL7tNlADZt3o7w8BsICwvH4KFjUalSeaOvTP/DxsYamzZ9ixEjJyElOUV0nEJFLeN/xoqdDNJLtWpuuH8vFJHXz2DTxlWoUMFVdCSD69y5PUJDw/Drrz8g5sFlhAQfxpDB/UTHIgOxsLBAo0b1EXjsb806tVqNwGOn0Ly5h8BkhsV2G2e7Yx4lIzE1A81qV9Gss7UujnpVyyPs9gMAwOVb0bC1Lo46buU0+zSrUwVKhQJX7sQAAHLzClDMQnfumOLFzBGflIaHiSmGb4iB2NvbAQCSTOQX7lUr5+HgH4E6n3ciqbCTQW8tOPgihgwdh85dBmD0mKmoXLki/jq2GyVK2IiOZlBV3Cris88G4tatu/Dp3A8//LAJy5bNwcCBvURHIwNwcCgNc3NzJMQn6qxPSHgEF2dHQakMj+02znYnpmYAAMrYl9BZX8bORrPtcWoGStvpfo+bm5nBzsYKj/+3z7v1qiIwNALnwu9ApVLhXlwiNh0K0nmNokahUGDp4tk4fToY165Fio5jcL17d0XDhnXx1df+oqMUShyToT+hU9iOGTMGvXv3RqtWrd76GDk5OcjJ0R2MplaroVAo9I1Hr3D48F+a/79yJQLBwRdx+9Y59PqoCzYEbBWYzLCUSiVCQ8Mwffp8AMClS9dQp05NDB82EJs37xCcjojI8Hq29kB0QjLGLNuC/IIC2FhZov8HzbFmz/Ei+/N31cp5qFOnJlq3+VB0FIMrX94Vy5bMgXenvs/8DkUkFaGVjNWrV+P9999HjRo1sGDBAsTFxb3xMfz9/WFvb6+zqFXpBkhLr5KamoabN++garXKoqMYVGxsAiIibuisu379lklcKmaKEhOTkJ+fDydnB531Tk6OiIt/JCiV4bHdxtluh/9VMB7/p9rwOC1Ts62MfQkkpWXqbM8vKEBa5hNNBUShUGBc7w8Q9MNXOLhkHI6tmIC6VZ5eXlXesZShmyG5Fcv94NPJC17teyEmJlZ0HINr1KgenJ0dEXLuELKz7iM76z5at34XY0YPRnbWfSiVvNCFYzL0J/xT9Oeff6JTp05YvHgxKlasiG7dumH//v1QqV6vgDR16lSkpqbqLAqlrYFT0/PY2FijSpVKiItNEB3FoM4EhTwzxWH16lUQFRUjKBEZUl5eHi5cCEPbNi016xQKBdq2aYmzZ0MFJjMstts4213OsRQc7EvgXPhdzbqMJ9m4cvsB6lctDwBwr1YB6VnZCL/3ULNPcMRdqNRq1KtSTud4ZkolnEvZwcLcHAfPXoF7tfLPXGpV2K1Y7ofu3bzxQYfeuHcvWnQcWRw7dgruDdvCo0l7zRJy/hK2/LobHk3av/bvYEQvI/yO3/Xq1UO7du2waNEi7N69G+vXr0f37t3h7OyMTz75BJ9++imqVav2wudbWlrC0tJSZ53cpVobG2tUq+ameexWuSLc3esgKSkZ0dEPX/LMom3B/OnYf+AIoqIewLWsC2bM+BIFBSps3bZHdDSDWrliLU6e/B2TJ4/Bzp370KRJAwwd2h8jR00SHc2gTPVzDgDLVqzFhnXLEHohDCEhF/H5mGGwsbFCwMZtoqMZFNtdNNudlZ2DqPgkzeOYxBRcvx8L+xJWKFumJPq3b461+06ikktplHMohdW/HYNjKVu0bVQLAFDF1REt6lXD7A178fWgzsgvUMF/8x/wblYXTqWeDoxOTs/EkZBwNKlVGTl5+fj91CUcCQnHuqmfiGjyW1u1ch769umOHj0HIz09A87/G3eTmpqO7OxswekMJyMj85lxJ1mZWXj8ONkkxqO8Dnaz9KdQC5xrTqlUIi4uDk5OTjrro6KisH79egQEBCA6OhoFBQVvdFzzYuVevZOEWr/nicCjO59Zv3HTdgwZOk62HHJfBfvzz9+hVctmKFOmFB49SsLpM8GYMWOB0U/lCgCdOnlhrt8UVKvmhrv3orFi+Y9Yt36LrBnkPnELy+dclFEjP8GX40fCxcURly9fw9hxMxAcclF0LINju8W0O+PE4rd+bkjEXQxdsPGZ9V1buOObYR9CrVbju91/YdfxUKRnZaNhjYr46mMfVHb59xKx1Iws+P/8B05cugGlQoF2jd/BlP4dYV386R/1ktMz8fnyX3HzQTzUasC9WnmM7tlOUw15WyVaT9Dr+W8qP/f5FejBQ8Zh0+btsmYRLfDIDly6HI4vJ8yU7TVf9O9fGAyq3FO219p4b5dsryWnQtnJ+IdarcbRo0fxwQcfvNFx5e5kFBZFc6gdvS3jvYqTiPTpZBRlcncySKzC3MkYWKmHbK+1+f5vsr2WnISOyahUqRLMzMxeuF2hULxxB4OIiIiIiMQSOibj7t27r96JiIiIiEhGvFpAf8JnlyIiIiIiIuMifHYpIiIiIqLCRMVaht5YySAiIiIiIkmxkkFEREREpMWY78QtF1YyiIiIiIhIUuxkEBERERGRpHi5FBERERGRFpXoAEaAlQwiIiIiIpIUKxlERERERFo4ha3+WMkgIiIiIiJJsZJBRERERKSFU9jqj5UMIiIiIiKSFCsZRERERERaOLuU/ljJICIiIiIiSbGSQURERESkRa3mmAx9sZJBRERERESSYiWDiIiIiEgL75OhP1YyiIiIiIhIUqxkEBERERFp4exS+mMlg4iIiIiIJMVKhhHh1YNEZGwUogMIUqL1BNERhEjf8YXoCELY9lohOgL9B+/4rT9WMoiIiIiISFKsZBARERERaeHsUvpjJYOIiIiIiCTFTgYREREREUmKl0sREREREWlRq3m5lL5YySAiIiIiIkmxk0FEREREpEUl4/Im/P390aRJE9ja2sLJyQndu3dHZGSkzj7Z2dnw9fVFmTJlUKJECfTs2RPx8fE6+0RFRcHHxwfW1tZwcnLCxIkTkZ+f/4ZpXo6dDCIiIiKiIuDEiRPw9fXF2bNnceTIEeTl5aF9+/bIzMzU7DNu3Djs27cPO3bswIkTJ/Dw4UP06NFDs72goAA+Pj7Izc3FmTNnsHHjRgQEBGDGjBmSZlWojfCiM/Ni5URHICIiCZjqzfiM7gfza+LN+ExLfm6M6Agv1L6Ct2yv9Wf0obd+7qNHj+Dk5IQTJ07gvffeQ2pqKhwdHbFlyxZ89NFHAIDr16/jnXfeQVBQEJo3b46DBw+ic+fOePjwIZydnQEA33//PSZPnoxHjx6hWLFikrSLlQwiIiIioiIoNTUVAFC6dGkAQGhoKPLy8uDl5aXZp1atWqhYsSKCgoIAAEFBQahXr56mgwEAHTp0QFpaGq5duyZZNs4uRURERESkRc6b8eXk5CAnJ0dnnaWlJSwtLV/6PJVKhbFjx6JFixaoW7cuACAuLg7FihVDyZIldfZ1dnZGXFycZh/tDsY/2//ZJhVWMoiIiIiIBPH394e9vb3O4u/v/8rn+fr64urVq9i6dasMKd8cKxlERERERFrkHLI8depUjB8/Xmfdq6oYo0ePxv79+3Hy5EmUL19es97FxQW5ublISUnRqWbEx8fDxcVFs09wcLDO8f6ZfeqffaTASgYRERERkSCWlpaws7PTWV7UyVCr1Rg9ejR2796NY8eOwc3NTWe7h4cHLCwsEBgYqFkXGRmJqKgoeHp6AgA8PT1x5coVJCQkaPY5cuQI7OzsULt2bcnaxUoGEREREZEWOcdkvAlfX19s2bIFv//+O2xtbTVjKOzt7WFlZQV7e3sMGTIE48ePR+nSpWFnZ4cxY8bA09MTzZs3BwC0b98etWvXxsCBA7Fw4ULExcXh66+/hq+v7ysrKG+CnQwiIiIioiJgzZo1AID3339fZ/2GDRvwySefAACWLVsGpVKJnj17IicnBx06dMB3332n2dfMzAz79+/HyJEj4enpCRsbGwwaNAhz5syRNCvvk0FERIUW75NhWnifDNNSmO+T8X55r1fvJJHjD47K9lpy4pgMIiIiIiKSFC+XIiIiIiLSojK+C31kx0oGERERERFJip0MA5g00Rf5uTFYsni26CgG1aplM+zZHYCoe6HIz41B164dREeSxeRJoxF05gCSH0fi4YPL2LVzHWrUqCo6lsF9NvxjXAg9gqTE60hKvI5TJ/fCu0Mb0bEMzlTbbaqfcwBwdXXBxoCViIu9irTUW7h44Sg8GtUXHcugjPVznpmdi4V7z6LjvK1o9lUAPl69D1ejHz13X79dp9Fg0jr8/PdVzbqQ27FoMGndc5cXHacoMNb3W0pqGRdjxculJNbYwx3Dhg7A5bBw0VEMzsbGGmFh4dgQsBW7dqwTHUc277VqjjVrNuJ86CWYm5vDb84UHDywBfXc30dW1hPR8QwmJiYW06b54+atu1AoFPh4YC/8tms9GjftgPDwG6LjGYyptttUP+clS9rjxPE9OHHiDLp0GYBHiY9RrZobklNSRUczKGP9nM/eeQq34pPh16c1HO1scODCLYxYexC7vuwJZ3sbzX7Hrt5DWFQCHO2sdZ7foJITjk7vq7Nu9eFQBN+KRZ3yDrK0wRCM9f2mwoWzS0nIxsYaIcGHMWbMV/hq6ue4dDkcX06YKSSL3PJzY9Djo8HYu/ew6Ciyc3AojbiHV9CmbQ/8feqc6DiySoi7islT/LAhYKvoKLIyxXaL+pzLPbvU3LlT8a5nE7Rp20PmV9ZVGH4wi/icSzm7VHZePlpM34Rlg7zw3jsVNev7rtiDFjXLY7R3YwBAfGomBn67F98N8caYDX+if8s6GNCq7nOPmVegQnu/X9G3RW0M92ooWdbCMLuUiPe7MM8u1apcO9le6++YwFfvVATxcikJrVo5Dwf/CETgsb9FRyEZ2dvbAQCSklPEBpGRUqlE795dYWNjjbPnQkXHkY2pthswnc95587tERoahl9//QExDy4jJPgwhgzuJzqWrIzlc15QoEKBSg1Lc92LNiwtzHHxXjwAQKVS4+utJzCodT1Ucyn1ymOeCL+P1KwcdGtcwyCZRTCW91tqKqhlW4wVL5eSSO/eXdGwYV009/QRHYVkpFAosHTxbJw+HYxr1yJFxzG4unVr4dTJvShe3BIZGZn4qNdQRETcFB3L4Ey13f8wpc95FbeK+OyzgVi+Yi0WLFiJxh4NsGzZHOTm5WHz5h2i4xmUsX3ObYoXQ/1KTvgx8CLcnOxRxtYKhy7dQdj9BFQo87TTvOF4GMyUCvRrUee1jrk7+AY8a5SDc0mbV+9cyBnb+02Fj/BOxrfffovg4GB06tQJffr0webNm+Hv7w+VSoUePXpgzpw5MDd/ccycnBzk5OTorFOr1VAo5Cuyly/vimVL5sC7U99nspBxW7VyHurUqYnWbT4UHUUWkZG34dGkPeztbNGzpw/Wr1uOtl49jf4Hk6m2+x+m9DlXKpUIDQ3D9OnzAQCXLl1DnTo1MXzYQKPvZBjj53xun9aYtf1vtJ+7FWZKBWqVKwPvBlUQEZOI8AeJ2HLqGn79ottr/c4Qn5KJoBsxWDjAOAZIG+P7LSVjrjDIRWgnw8/PDwsXLkT79u0xbtw43L9/H4sWLcK4ceOgVCqxbNkyWFhYYPbsF8/S5O/v/8x2hbIEFGZ2ho6v0ahRPTg7OyLk3CHNOnNzc7Rq1Ry+oz6BdQk3qFQq2fKQPFYs94NPJy+0adcDMTGxouPIIi8vD7dv3wMAXLh4BY09GmDM6KEY5TtZbDADM9V2A6b3OY+NTUBEhO7A1+vXb+HDDzsJSiQfY/ycVyhjh3UjffAkNw8Z2XlwtLPGpJ+PoVxpW1y4G4ekzCfo6L9Ns3+BSo2l+4Pxy6lrODj1/3SO9fv5G7C3tkTr2pXkboZBGOP7TYWL0E5GQEAAAgIC0KNHD1y+fBkeHh7YuHEj+vfvDwCoVasWJk2a9NJOxtSpUzF+/HiddaXK1DJo7v86duwU3Bu21Vn309qliIy8jUWLV7ODYYRWLPdD927eaPdBL9y7Fy06jjBKpRKWlsVEx5CdqbTbFD/nZ4JCnpmqt3r1KoiKKrwDVA3FmD7nVsUsYFXMAmlZOThzIwZjOzWBV73KaF7dVWe/kT8dRudG1dCtcXWd9Wq1Gr+fv4kuHtVgYWacw1mN6f2WghHOiyQ7oZ2Mhw8fonHjp7M7uLu7Q6lUokGDBprtjRo1wsOHD196DEtLS1haWuqsk/NSKQDIyMh85jrlrMwsPH6cbNTXL9vYWKNaNTfNY7fKFeHuXgdJScmIjn75+1aUrVo5D337dEePnoORnp4BZ2dHAEBqajqys7MFpzOcuX5TcOjQX4iKjoGtbQn07dMdrVt7opOPcQ+KNdV2m+rnfOWKtTh58ndMnjwGO3fuQ5MmDTB0aH+MHDVJdDSDMtbP+ZnIB1ADqOxoj6jENCw7EAw3J3t0a1IDFmZKlLQprrO/uZkSZWytUNmppM764FuxiElKx4dNa8oX3oCM9f2mwkVoJ8PFxQXh4eGoWLEibt68iYKCAoSHh6NOnacDsK5duwYnJyeREeklGnu4I/DoTs3jJYtnAQA2btqOIUPHCUpleCNHDAIAHAvcpbN+8JBx2LR5u4hIsnB0dMCG9StQtqwTUlPTceVKBDr59MPRQOOeTc1U222qn/PzoZfxUa+hmOs3BV9PG4u796Lx5Zcz8euvu0VHMyhj/ZynZ+di1cHziE/NhL21JdrVq4zRHRq/cTVid0gk3Cs5we0/nY+iyljfbylxTIb+hN4nY/r06fjhhx/QrVs3BAYG4v/+7/+wZcsWTJ06FQqFAnPnzsVHH32EpUuXvtFxRd0ng4iIpCX3fTIKC1P99UbK+2QUJYXhPhkiFOb7ZDR1bS3bawU/PCHba8lJaCVj9uzZsLKyQlBQEIYNG4YpU6bA3d0dkyZNQlZWFrp06YJvvvlGZEQiIiIiMjFqk+3qS4d3/CYiokKLlQzTwkqGaSnMlYwmru/J9lohD0/K9lpyEn6fDCIiIiKiwsQI/wYvO+Och42IiIiIiIRhJYOIiIiISAtnl9IfKxlERERERCQpVjKIiIiIiLRwTIb+WMkgIiIiIiJJsZJBRERERKSFYzL0x0oGERERERFJipUMIiIiIiItvOO3/ljJICIiIiIiSbGTQUREREREkuLlUkREREREWlScwlZvrGQQEREREZGkWMkgIiIiItLCgd/6YyWDiIiIiIgkxUoGEREREZEWjsnQHysZREREREQkKVYyiIiIiIi0cEyG/ljJICIiIiIiSbGSQURERESkhWMy9MdOBlERpRAdgGRlqj/uTLXdpnp+2/VaITqCEOl/TBcdgUhy7GQQEREREWnhmAz9cUwGERERERFJipUMIiIiIiItHJOhP1YyiIiIiIhIUqxkEBERERFp4ZgM/bGSQUREREREkmIlg4iIiIhIi1qtEh2hyGMlg4iIiIiIJMVOBhERERERSYqXSxERERERaVFx4LfeWMkgIiIiIiJJsZJBRERERKRFzZvx6Y2VDCIiIiIikhQrGUREREREWjgmQ3+sZBARERERkaRYySAiIiIi0sIxGfpjJYOIiIiIiCTFSgYRERERkRYVKxl6YyWDiIiIiIgkxUoGEREREZEWNWeX0hsrGRKYPGk0gs4cQPLjSDx8cBm7dq5DjRpVRccyuM+Gf4wLoUeQlHgdSYnXcerkXnh3aCM6lmxGjhiEWzfOIiPtNs6c2ocmjRuIjmRwrq4u2BiwEnGxV5GWegsXLxyFR6P6omMZ1PTp45GXG6OzXLlyQnQs2U2a6Iv83BgsWTxbdBSDatWyGfbsDkDUvVDk58aga9cOoiPJhue38Zzfmdm5WLjzODp+/ROajV2JjxdvxdX7cZrtDXyXPXcJOHIeABByI/qF+2gfh+hlWMmQwHutmmPNmo04H3oJ5ubm8JszBQcPbEE99/eRlfVEdDyDiYmJxbRp/rh56y4UCgU+HtgLv+1aj8ZNOyA8/IboeAbVq1dXLF40E6N8pyA45CI+HzMUfxz4BbXrvodHjx6LjmcQJUva48TxPThx4gy6dBmAR4mPUa2aG5JTUkVHM7ir167D27uP5nF+fr7ANPJr7OGOYUMH4HJYuOgoBmdjY42wsHBsCNiKXTvWiY4jG57fxnV+z/7lCG49TITfIG842pfAgZAIjFi5C7umD4JzyRI4Om+4zv6nwu9h9i9/wqthNQBAgyquz+yzev8ZBEdGoU5FZ9naIRJnl9IfOxkS8OkyQOfx4KFjEffwCjwa1cffp84JSmV4+w8c0Xk8fcYCfDZ8IJo1bWT0nYxxXwzDT+u2YOOm7QCAUb5T0KljO3z6SR8sXLRacDrDmDhxFB48eIihw8Zr1t27Fy0wkXwK8gsQH/9IdAwhbGyssWnTtxgxchK+mvq56DgGd+jwXzh0+C/RMWTH89t4zu/s3HwEXrqJZZ91hUf18gCAkT6eOHnlDnb8fRmju7SAg72NznOOh91Gk+oVUN6hJADAwtxMZ5+8ggIcD7uNvu83gEKhkK0tVLQJvVwqNjYWM2bMQNu2bfHOO++gTp066NKlC9atW4eCggKR0fRib28HAEhKThEbREZKpRK9e3eFjY01zp4LFR3HoCwsLNCoUX0EHvtbs06tViPw2Ck0b+4hMJlhde7cHqGhYfj11x8Q8+AyQoIPY8jgfqJjyaJaNTfcvxeKyOtnsGnjKlSo4Co6kmxWrZyHg38E6nzeyfjw/Dae87tApUKBSg1Lc92/I1tamOPi7YfP7P84LROnrt5F93frvvCYJ8LuIDUzG92a15E8b2Glglq2xVgJ62ScP38e77zzDv744w/k5eXh5s2b8PDwgI2NDSZMmID33nsP6enpouK9NYVCgaWLZ+P06WBcuxYpOo7B1a1bCylJN5CVcRfffTsfH/UaioiIm6JjGZSDQ2mYm5sjIT5RZ31CwiO4ODsKSmV4Vdwq4rPPBuLWrbvw6dwPP/ywCcuWzcHAgb1ERzOo4OCLGDJ0HDp3GYDRY6aicuWK+OvYbpQoYfPqJxdxvXt3RcOGdfHV1/6io5CB8fw2nvPbpngx1Hcrix8PnUNCSgYKVCocCI5A2N1YJKZmPrP/3nPhsC5ugXYNqr3wmLvPXIXnO5XgXMrWkNHJyAi7XGrs2LEYN24cZs6cCQD4+eef8e233+Ls2bNITk5G27Zt8fXXX2PFihUvPU5OTg5ycnJ01qnVamHlvFUr56FOnZpo3eZDIa8vt8jI2/Bo0h72drbo2dMH69ctR1uvnkbf0TBFSqUSoaFhmD59PgDg0qVrqFOnJoYPG4jNm3cITmc4h7UunblyJQLBwRdx+9Y59PqoCzYEbBWYzLDKl3fFsiVz4N2p7zPfsWR8eH4b1/k9d5A3Zv38J9pPWwszpQK1KjjBu3FNREQlPLPv70HX0KnJO7C0eP6vhPHJ6QiKuI+FQ3wMHbtQ4ZgM/QmrZFy4cAEDBw7UPO7Xrx8uXLiA+Ph4lCpVCgsXLsTOnTtfeRx/f3/Y29vrLGqVmArIiuV+8OnkBa/2vRATEyskg9zy8vJw+/Y9XLh4BdO+no+wsHCMGT1UdCyDSkxMQn5+PpycHXTWOzk5Is6Iruv9r9jYBERE6I61uX79VpG/tOBNpaam4ebNO6harbLoKAbVqFE9ODs7IuTcIWRn3Ud21n20bv0uxowejOys+1AqOTmhMeH5/ZSxnN8VHEti3bjeCFo6Gof8huKXSf2QX6BCOQd7nf0u3HqAe/HJ+PAll0r9fvYa7G2Ko3X9KoaOTUZG2E8JJycnxMb++4t4fHw88vPzYWf3dDxD9erVkZSU9MrjTJ06FampqTqLQil/OW/Fcj907+aNDzr0NpnBcs+jVCphaVlMdAyDysvLw4ULYWjbpqVmnUKhQNs2LXH2rPGORzkTFPLM1MzVq1dBVFSMoERi2NhYo0qVSoiLffYvgsbk2LFTcG/YFh5N2muWkPOXsOXX3fBo0h4qlUp0RJIQz++njO38trK0gKN9CaRlZeNMxH28/5+Owu4z11C7ohNqln/+pb5qtRq/B11Dl2a1YWFmJkfkQkOlVsu2GCthl0t1794dI0aMwKJFi2BpaYlvvvkGrVu3hpWVFQAgMjIS5cqVe+VxLC0tYWlpqbNO7kulVq2ch759uqNHz8FIT8+A8/+uy09NTUd2drasWeQ0128KDh36C1HRMbC1LYG+fbqjdWtPdPIx/sGCy1asxYZ1yxB6IQwhIRfx+ZhhsLGxQsDGbaKjGczKFWtx8uTvmDx5DHbu3IcmTRpg6ND+GDlqkuhoBrVg/nTsP3AEUVEP4FrWBTNmfImCAhW2btsjOppBZWRkPjOuLCszC48fJxv1eDMbG2tUq+ameexWuSLc3esgKSkZ0dHPDpo1Fjy/jev8PhN+D2o1UNm5FKIepWDZ7r/h5lwK3Tz/Hbid8SQHRy7ewJc93nvhcYIjoxHzOO2llQ6iFxHWyfDz80NsbCy6dOmCgoICeHp64ueff9ZsVygU8PcvGoMNR44YBAA4FrhLZ/3gIeOwafN2EZFk4ejogA3rV6BsWSekpqbjypUIdPLph6OBxj8LzY4de+HoUBqzZkyAi4sjLl++Bp/OA5CQkPjqJxdR50Mv46NeQzHXbwq+njYWd+9F48svZ+LXX3eLjmZQ5cqXxc+bV6NMmVJ49CgJp88Eo2WrLkhMfHWllYqexh7uCDz676W6SxbPAgBs3LQdQ4aOE5TK8Hh+G9f5nf4kB6v2nkZ8SgbsrS3RrkF1jO7aQqcacSg0ElAD3o1rvfA4u4Ouwr1KWbi5lJYjNhkZhVrwyJbs7Gzk5+ejRIkSkh3TvNirKyBERR1nKjctxltQp+fh+W1a0v6YLjqCEFZeI0RHeKFSJV4825bUkjNuyfZachJ+M77ixYuLjkBERERERBIS3skgIiIiIipMjPkmeXLhHIRERERERCQpVjKIiIiIiLTwZnz6YyWDiIiIiIgkxUoGEREREZEWY75JnlxYySAiIiIiIkmxkkFEREREpEXN2aX0xkoGERERERFJipUMIiIiIiItHJOhP1YyiIiIiIhIUqxkEBERERFp4X0y9MdKBhERERERSYqVDCIiIiIiLZxdSn+sZBARERERkaRYySAiIiIi0sIxGfpjJYOIiIiIiCTFTgYRERERURGyevVqVK5cGcWLF0ezZs0QHBwsOtIz2MkgIiIiItKiVqtlW97Utm3bMH78eMycORMXLlyAu7s7OnTogISEBAP8S7w9djKIiIiIiIqIpUuXYtiwYfj0009Ru3ZtfP/997C2tsb69etFR9PBTgYRERERkRa1jMubyM3NRWhoKLy8vDTrlEolvLy8EBQU9DZNNRjOLkVEREREJEhOTg5ycnJ01llaWsLS0vKZfRMTE1FQUABnZ2ed9c7Ozrh+/bpBc74xNUkmOztbPXPmTHV2drboKLJiu9luU8B2s92mgO1mu0l+M2fOfKbAMXPmzOfuGxMTowagPnPmjM76iRMnqps2bSpD2tenUKs5EbBU0tLSYG9vj9TUVNjZ2YmOIxu2m+02BWw3220K2G62m+T3JpWM3NxcWFtbY+fOnejevbtm/aBBg5CSkoLff//d0HFfG8dkEBEREREJYmlpCTs7O53leR0MAChWrBg8PDwQGBioWadSqRAYGAhPT0+5Ir8WjskgIiIiIioixo8fj0GDBqFx48Zo2rQpli9fjszMTHz66aeio+lgJ4OIiIiIqIj4v//7Pzx69AgzZsxAXFwcGjRogEOHDj0zGFw0djIkZGlpiZkzZ76wxGWs2G622xSw3Wy3KWC72W4qGkaPHo3Ro0eLjvFSHPhNRERERESS4sBvIiIiIiKSFDsZREREREQkKXYyiIiIiIhIUuxkEBERERGRpNjJkNDq1atRuXJlFC9eHM2aNUNwcLDoSAZ18uRJdOnSBa6urlAoFNizZ4/oSLLw9/dHkyZNYGtrCycnJ3Tv3h2RkZGiYxncmjVrUL9+fc2Ngjw9PXHw4EHRsWQ3f/58KBQKjB07VnQUg5o1axYUCoXOUqtWLdGxZBETE4MBAwagTJkysLKyQr169XD+/HnRsQyqcuXKz7zfCoUCvr6+oqMZVEFBAaZPnw43NzdYWVmhatWq+Oabb2AKc+Kkp6dj7NixqFSpEqysrPDuu+8iJCREdCwyIuxkSGTbtm0YP348Zs6ciQsXLsDd3R0dOnRAQkKC6GgGk5mZCXd3d6xevVp0FFmdOHECvr6+OHv2LI4cOYK8vDy0b98emZmZoqMZVPny5TF//nyEhobi/PnzaNu2Lbp164Zr166JjiabkJAQ/PDDD6hfv77oKLKoU6cOYmNjNcupU6dERzK45ORktGjRAhYWFjh48CDCw8OxZMkSlCpVSnQ0gwoJCdF5r48cOQIA6NWrl+BkhrVgwQKsWbMG3377LSIiIrBgwQIsXLgQq1atEh3N4IYOHYojR45g8+bNuHLlCtq3bw8vLy/ExMSIjkbGQk2SaNq0qdrX11fzuKCgQO3q6qr29/cXmEo+ANS7d+8WHUOIhIQENQD1iRMnREeRXalSpdQ//fST6BiySE9PV1evXl195MgRdevWrdVffPGF6EgGNXPmTLW7u7voGLKbPHmyumXLlqJjCPfFF1+oq1atqlapVKKjGJSPj4968ODBOut69Oih7t+/v6BE8sjKylKbmZmp9+/fr7O+UaNG6mnTpglKRcaGlQwJ5ObmIjQ0FF5eXpp1SqUSXl5eCAoKEpiM5JCamgoAKF26tOAk8ikoKMDWrVuRmZkJT09P0XFk4evrCx8fH53z3NjdvHkTrq6uqFKlCvr374+oqCjRkQxu7969aNy4MXr16gUnJyc0bNgQa9euFR1LVrm5ufj5558xePBgKBQK0XEM6t1330VgYCBu3LgBALh8+TJOnTqFjh07Ck5mWPn5+SgoKEDx4sV11ltZWZlExZLkwTt+SyAxMREFBQXP3M7d2dkZ169fF5SK5KBSqTB27Fi0aNECdevWFR3H4K5cuQJPT09kZ2ejRIkS2L17N2rXri06lsFt3boVFy5cMKnrlZs1a4aAgADUrFkTsbGxmD17Nlq1aoWrV6/C1tZWdDyDuXPnDtasWYPx48fjq6++QkhICD7//HMUK1YMgwYNEh1PFnv27EFKSgo++eQT0VEMbsqUKUhLS0OtWrVgZmaGgoIC/H979x8Tdf3Acfx5nR0RXBEqcpB3gUwgIycwHbVlTCtcYxRrklEdYW0lFGJSsNb6wYD6w6bZxo9paCVOJkqGbhdSgLasRl3TZhhMzZaZW6mBE5T7fP9o3Te+Vt+sOz4Fr8fGH3zuc5/36z5s7F6f9/tzV1VVRX5+vtnRgsput5ORkUFlZSXJyclMmzaNzZs38+GHH5KQkGB2PBknVDJE/oaioiIOHDgwYa78JCYm4vV6OX36NFu3bsXtdtPV1TWui8axY8coKSmhvb39oqt+49mvr+TeeOONzJs3D5fLRXNzM0uXLjUxWXD5fD7S09Oprq4GYM6cORw4cIC6uroJUzLWr1/PokWLiImJMTtK0DU3N7Np0yaampqYNWsWXq+X5cuXExMTM+7/3m+++SaFhYXExsZitVpJTU1lyZIl9PT0mB1NxgmVjACYMmUKVquVEydOjNp+4sQJoqOjTUolwVZcXExbWxvd3d1ce+21ZscZEzabzX+VKy0tjU8++YQ1a9ZQX19vcrLg6enp4fvvvyc1NdW/bWRkhO7ubl577TWGhoawWq0mJhwbERERzJw5k76+PrOjBJXD4bioNCcnJ9PS0mJSorF19OhRdu/ezbZt28yOMibKysooLy/n3nvvBSAlJYWjR49SU1Mz7kvGjBkz6OrqYnBwkDNnzuBwOMjLyyM+Pt7saDJO6J6MALDZbKSlpdHR0eHf5vP56OjomDDr1ScSwzAoLi5m+/btvPfee8TFxZkdyTQ+n4+hoSGzYwTVggUL2L9/P16v1/+Tnp5Ofn4+Xq93QhQMgIGBAfr7+3E4HGZHCaqbb775oo+kPnToEC6Xy6REY6uxsZGoqCjuvPNOs6OMibNnz3LZZaPfClmtVnw+n0mJxl5YWBgOh4Mff/wRj8dDTk6O2ZFknNBMRoCsWLECt9tNeno6c+fOZfXq1QwODvLQQw+ZHS1oBgYGRl3VPHz4MF6vl8jISJxOp4nJgquoqIimpibefvtt7HY73333HQBXX301oaGhJqcLnoqKChYtWoTT6eSnn36iqamJzs5OPB6P2dGCym63X3S/TVhYGJMnTx7X9+GsXLmS7OxsXC4X3377Lc899xxWq5UlS5aYHS2oSktLuemmm6iurmbx4sV8/PHHNDQ00NDQYHa0oPP5fDQ2NuJ2u5k0aWK8PcjOzqaqqgqn08msWbP47LPPeOWVVygsLDQ7WtB5PB4MwyAxMZG+vj7KyspISkoa1+9bZIyZ/fFW48natWsNp9Np2Gw2Y+7cuca+ffvMjhRU77//vgFc9ON2u82OFlS/9ZoBo7Gx0exoQVVYWGi4XC7DZrMZU6dONRYsWGC8++67ZscyxUT4CNu8vDzD4XAYNpvNiI2NNfLy8oy+vj6zY42Jd955x7jhhhuMkJAQIykpyWhoaDA70pjweDwGYPT29podZcycOXPGKCkpMZxOp3HFFVcY8fHxxjPPPGMMDQ2ZHS3otmzZYsTHxxs2m82Ijo42ioqKjFOnTpkdS8YRi2FMgK+1FBERERGRMaN7MkREREREJKBUMkREREREJKBUMkREREREJKBUMkREREREJKBUMkREREREJKBUMkREREREJKBUMkREREREJKBUMkRE/mEKCgq46667/L/feuutLF++fMxzdHZ2YrFYOHXq1JiPLSIi/24qGSIif1JBQQEWiwWLxYLNZiMhIYEXX3yRCxcuBHXcbdu2UVlZ+af2VTEQEZF/gklmBxAR+TfJysqisbGRoaEhdu3aRVFREZdffjkVFRWj9hseHsZmswVkzMjIyIAcR0REZKxoJkNE5BKEhIQQHR2Ny+XiscceY+HChezYscO/xKmqqoqYmBgSExMBOHbsGIsXLyYiIoLIyEhycnI4cuSI/3gjIyOsWLGCiIgIJk+ezFNPPYVhGKPG/N/lUkNDQzz99NNMnz6dkJAQEhISWL9+PUeOHCEzMxOAa665BovFQkFBAQA+n4+amhri4uIIDQ1l9uzZbN26ddQ4u3btYubMmYSGhpKZmTkqp4iIyKVQyRAR+RtCQ0MZHh4GoKOjg97eXtrb22lra+P8+fPccccd2O129uzZwwcffEB4eDhZWVn+56xatYoNGzbw+uuvs3fvXn744Qe2b9/+h2M++OCDbN68mVdffZWDBw9SX19PeHg406dPp6WlBYDe3l6OHz/OmjVrAKipqeGNN96grq6OL774gtLSUu6//366urqAn8tQbm4u2dnZeL1eHn74YcrLy4N12kREZJzTcikRkb/AMAw6OjrweDw8/vjjnDx5krCwMNatW+dfJvXWW2/h8/lYt24dFosFgMbGRiIiIujs7OT2229n9erVVFRUkJubC0BdXR0ej+d3xz106BDNzc20t7ezcOFCAOLj4/2P/7K0KioqioiICODnmY/q6mp2795NRkaG/zl79+6lvr6e+fPnU1tby4wZM1i1ahUAiYmJ7N+/n5dffjmAZ01ERCYKlQwRkUvQ1tZGeHg458+fx+fzcd999/H8889TVFRESkrKqPswPv/8c/r6+rDb7aOOce7cOfr7+zl9+jTHjx9n3rx5/scmTZpEenr6RUumfuH1erFarcyfP/9PZ+7r6+Ps2bPcdttto7YPDw8zZ84cAA4ePDgqB+AvJCIiIpdKJUNE5BJkZmZSW1uLzWYjJiaGSZP++280LCxs1L4DAwOkpaWxadOmi44zderUvzR+aGjoJT9nYGAAgJ07dxIbGzvqsZCQkL+UQ0RE5I+oZIiIXIKwsDASEhL+1L6pqals2bKFqKgorrrqqt/cx+Fw8NFHH3HLLbcAcOHCBXp6ekhNTf3N/VNSUvD5fHR1dfmXS/3aLzMpIyMj/m3XX389ISEhfP311787A5KcnMyOHTtGbdu3b9//f5EiIiK/QTd+i4gESX5+PlOmTCEnJ4c9e/Zw+PBhOjs7eeKJJ/jmm28AKCkp4aWXXqK1tZUvv/ySZcuW/eF3XFx33XW43W4KCwtpbW31H7O5uRkAl8uFxWKhra2NkydPMjAwgN1uZ+XKlZSWlrJx40b6+/v59NNPWbt2LRs3bgTg0Ucf5auvvqKsrIze3l6amprYsGFDsE+RiIiMUyoZIiJBcuWVV9Ld3Y3T6SQ3N5fk5GSWLl3KuXPn/DMbTz75JA888ABut5uMjAzsdjt33333Hx63traWe+65h2XLlpGUlMQjjzzC4OAgALGxsbzwwguUl5czbdo0iouLAaisrOTZZ5+lpqaG5ORksrKy2LlzJ3FxcQA4nU5aWlpobW1l9uzZ1NXVUV1dHcSzIyIi45nF+L27C0VERERERP4CzWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhAqWSIiIiIiEhA/Qdd5pth+/tBpgAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "IP0dkW5XJ0pK"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "b5v4CywsKO74"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "8dAtDBDTL4kW"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}