LSTM_Nonlinear.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNIPSED/Fm/4dpE8NcmMurw",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/tusharbansal22/Tensorflow-Notebooks/blob/main/LSTM_Nonlinear.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oh_QfypN8xnF",
        "outputId": "c10aca70-33b9-4ac6-f55c-60ef85bafc95"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "2.9.2\n"
          ]
        }
      ],
      "source": [
        "import tensorflow as tf\n",
        "print(tf.__version__)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from tensorflow.keras.layers import LSTM, Input, SimpleRNN, GRU, Dense,Flatten\n",
        "from tensorflow.keras.models import Model\n",
        "from tensorflow.keras.optimizers import SGD, Adam\n",
        "\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ],
      "metadata": {
        "id": "RhpcKulf9PhE"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "series= np.sin((0.1*np.arange(400))**2)"
      ],
      "metadata": {
        "id": "mZ6423FI9kKL"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(series)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "08TPJ-JE90WF",
        "outputId": "186b3192-ea09-4019-d955-f9e9cfeb3606"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "T=10\n",
        "D=1\n",
        "X=[]\n",
        "Y=[]\n",
        "\n",
        "for t in range(0,len(series)-T):\n",
        "  x=series[t:t+T]\n",
        "  X.append(x)\n",
        "  y=series[t+T]\n",
        "  Y.append(y)\n",
        "\n",
        "X=np.array(X).reshape(-1,T)\n",
        "Y=np.array(Y)\n",
        "N=len(X)\n",
        "print(\"X.shape \",X.shape,\" Y.shape \",Y.shape)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bMptDfzG9212",
        "outputId": "e354ad20-68b5-4b0a-ea14-e995c1a95ddb"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "X.shape  (390, 10)  Y.shape  (390,)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "i=Input(shape=(T,))\n",
        "x=Dense(1)(i)\n",
        "model=Model(i,x)\n",
        "model.compile(loss='mse',optimizer=Adam(lr=0.1))\n",
        "\n",
        "r=model.fit(X[:-N//2],Y[:-N//2],epochs=80,validation_data=(X[-N//2:],Y[-N//2:]))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sr49wvJk-is-",
        "outputId": "42cd1131-25f0-4ecd-bcde-65686cf1480f"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.8/dist-packages/keras/optimizers/optimizer_v2/adam.py:110: UserWarning: The `lr` argument is deprecated, use `learning_rate` instead.\n",
            "  super(Adam, self).__init__(name, **kwargs)\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/80\n",
            "7/7 [==============================] - 2s 106ms/step - loss: 1.2024 - val_loss: 0.5498\n",
            "Epoch 2/80\n",
            "7/7 [==============================] - 0s 21ms/step - loss: 0.5620 - val_loss: 0.7493\n",
            "Epoch 3/80\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.6340 - val_loss: 0.8770\n",
            "Epoch 4/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5761 - val_loss: 0.7161\n",
            "Epoch 5/80\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.5601 - val_loss: 0.6482\n",
            "Epoch 6/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5376 - val_loss: 0.5911\n",
            "Epoch 7/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5315 - val_loss: 0.6044\n",
            "Epoch 8/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5332 - val_loss: 0.6357\n",
            "Epoch 9/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5278 - val_loss: 0.6120\n",
            "Epoch 10/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5223 - val_loss: 0.6564\n",
            "Epoch 11/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5320 - val_loss: 0.6029\n",
            "Epoch 12/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5433 - val_loss: 0.5976\n",
            "Epoch 13/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5220 - val_loss: 0.6394\n",
            "Epoch 14/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5641 - val_loss: 0.6976\n",
            "Epoch 15/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5305 - val_loss: 0.5711\n",
            "Epoch 16/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5513 - val_loss: 0.5476\n",
            "Epoch 17/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5246 - val_loss: 0.6495\n",
            "Epoch 18/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5522 - val_loss: 0.6755\n",
            "Epoch 19/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5064 - val_loss: 0.6202\n",
            "Epoch 20/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5195 - val_loss: 0.6022\n",
            "Epoch 21/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5151 - val_loss: 0.5921\n",
            "Epoch 22/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5216 - val_loss: 0.6521\n",
            "Epoch 23/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5500 - val_loss: 0.6063\n",
            "Epoch 24/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5327 - val_loss: 0.6353\n",
            "Epoch 25/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5110 - val_loss: 0.6983\n",
            "Epoch 26/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5352 - val_loss: 0.6289\n",
            "Epoch 27/80\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.5256 - val_loss: 0.6196\n",
            "Epoch 28/80\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.5641 - val_loss: 0.6641\n",
            "Epoch 29/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5238 - val_loss: 0.6029\n",
            "Epoch 30/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5400 - val_loss: 0.6221\n",
            "Epoch 31/80\n",
            "7/7 [==============================] - 0s 18ms/step - loss: 0.5378 - val_loss: 0.6188\n",
            "Epoch 32/80\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.5210 - val_loss: 0.5790\n",
            "Epoch 33/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5581 - val_loss: 0.6588\n",
            "Epoch 34/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5613 - val_loss: 0.6507\n",
            "Epoch 35/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5257 - val_loss: 0.6216\n",
            "Epoch 36/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5538 - val_loss: 0.6039\n",
            "Epoch 37/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5447 - val_loss: 0.6506\n",
            "Epoch 38/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5305 - val_loss: 0.6392\n",
            "Epoch 39/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5269 - val_loss: 0.6299\n",
            "Epoch 40/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5276 - val_loss: 0.5891\n",
            "Epoch 41/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5459 - val_loss: 0.6644\n",
            "Epoch 42/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5370 - val_loss: 0.6484\n",
            "Epoch 43/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5279 - val_loss: 0.6077\n",
            "Epoch 44/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5150 - val_loss: 0.5890\n",
            "Epoch 45/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5596 - val_loss: 0.6719\n",
            "Epoch 46/80\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.5441 - val_loss: 0.6631\n",
            "Epoch 47/80\n",
            "7/7 [==============================] - 0s 20ms/step - loss: 0.5452 - val_loss: 0.5570\n",
            "Epoch 48/80\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.5203 - val_loss: 0.5811\n",
            "Epoch 49/80\n",
            "7/7 [==============================] - 0s 19ms/step - loss: 0.5700 - val_loss: 0.7702\n",
            "Epoch 50/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5897 - val_loss: 0.7160\n",
            "Epoch 51/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5369 - val_loss: 0.5867\n",
            "Epoch 52/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5528 - val_loss: 0.6270\n",
            "Epoch 53/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5538 - val_loss: 0.6423\n",
            "Epoch 54/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5093 - val_loss: 0.6085\n",
            "Epoch 55/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5578 - val_loss: 0.6098\n",
            "Epoch 56/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5150 - val_loss: 0.6539\n",
            "Epoch 57/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5630 - val_loss: 0.6242\n",
            "Epoch 58/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5487 - val_loss: 0.6880\n",
            "Epoch 59/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5487 - val_loss: 0.6899\n",
            "Epoch 60/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5348 - val_loss: 0.5842\n",
            "Epoch 61/80\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.5493 - val_loss: 0.5838\n",
            "Epoch 62/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5332 - val_loss: 0.6592\n",
            "Epoch 63/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5197 - val_loss: 0.6989\n",
            "Epoch 64/80\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.5217 - val_loss: 0.6565\n",
            "Epoch 65/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5170 - val_loss: 0.5827\n",
            "Epoch 66/80\n",
            "7/7 [==============================] - 0s 24ms/step - loss: 0.5144 - val_loss: 0.5916\n",
            "Epoch 67/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5132 - val_loss: 0.6465\n",
            "Epoch 68/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5248 - val_loss: 0.6749\n",
            "Epoch 69/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5268 - val_loss: 0.6090\n",
            "Epoch 70/80\n",
            "7/7 [==============================] - 0s 7ms/step - loss: 0.5543 - val_loss: 0.6462\n",
            "Epoch 71/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5497 - val_loss: 0.6217\n",
            "Epoch 72/80\n",
            "7/7 [==============================] - 0s 9ms/step - loss: 0.5072 - val_loss: 0.5765\n",
            "Epoch 73/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5586 - val_loss: 0.6214\n",
            "Epoch 74/80\n",
            "7/7 [==============================] - 0s 6ms/step - loss: 0.5138 - val_loss: 0.6844\n",
            "Epoch 75/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5251 - val_loss: 0.6941\n",
            "Epoch 76/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5303 - val_loss: 0.6035\n",
            "Epoch 77/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5650 - val_loss: 0.5361\n",
            "Epoch 78/80\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5575 - val_loss: 0.5900\n",
            "Epoch 79/80\n",
            "7/7 [==============================] - 0s 10ms/step - loss: 0.5361 - val_loss: 0.6528\n",
            "Epoch 80/80\n",
            "7/7 [==============================] - 0s 8ms/step - loss: 0.5445 - val_loss: 0.6765\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "plt.plot(r.history['loss'],label='loss')\n",
        "plt.plot(r.history['val_loss'],label='val_loss')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "6ccgVZI5_W-n",
        "outputId": "959544ee-1c92-4d99-f9f4-af8f47cedb41"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f9f1902faf0>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "outputs=model.predict(X)\n",
        "print(outputs.shape)\n",
        "prediction=outputs[:,0]\n",
        "\n",
        "plt.plot(Y,label='targets')\n",
        "plt.plot(prediction,label='predictions')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 301
        },
        "id": "Q_Di95Am_p4V",
        "outputId": "59ebd7d1-25b8-470c-a0f4-6b31595e87ee"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "13/13 [==============================] - 0s 3ms/step\n",
            "(390, 1)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "validation_target= Y[-N//2:]\n",
        "validation_predictions=[]\n",
        "\n",
        "i=-N//2\n",
        "\n",
        "while(len(validation_predictions)<len(validation_target)):\n",
        "  p=model.predict(X[i].reshape(1,-1))[0,0]\n",
        "  i+=1\n",
        "  validation_predictions.append(p)\n",
        "\n",
        "plt.plot(validation_target,label='forecast_target')\n",
        "plt.plot(validation_predictions,label='forecast_predictions')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "YBqdzwOEASCH",
        "outputId": "8f373acd-9f7f-4f25-fd1d-9b78457f8474"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1/1 [==============================] - 0s 17ms/step\n",
            "1/1 [==============================] - 0s 16ms/step\n",
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          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f9f18d022b0>"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "validation_target= Y[-N//2:]\n",
        "validation_predictions=[]\n",
        "\n",
        "last_x=X[-N//2]\n",
        "\n",
        "while(len(validation_predictions)<len(validation_target)):\n",
        "  p=model.predict(last_x.reshape(1,-1))[0,0]\n",
        "  validation_predictions.append(p)\n",
        "\n",
        "  last_x=np.roll(last_x,-1)\n",
        "  last_x[-1]=p\n",
        "\n",
        "plt.plot(validation_target,label='forecast_target')\n",
        "plt.plot(validation_predictions,label='forecast_predictions')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "eaEIIX-cAxbN",
        "outputId": "715bc510-b09e-445d-87a6-4351fc1b508f"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1/1 [==============================] - 0s 41ms/step\n",
            "1/1 [==============================] - 0s 37ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 35ms/step\n",
            "1/1 [==============================] - 0s 25ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 35ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
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          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f9f18c56e20>"
            ]
          },
          "metadata": {},
          "execution_count": 16
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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DJfkc1ye48WSazXfxdZ8d5zBctW0a/Zq6Nqot5w5sqxIxDKpqMm09h6e2ORzDNdtncPxsr1aRtdm2cEZGMSaUFIUBts+0x8IxnFrtF5zFVCscqFYWj5W5hhGDujmockDqXPAluWkRg2Mcqps41980bMRQcAw+KGlCPp8fM2seJU7YqEKVpIyDjJonuDDxakYG8RBQ0g+978v4wOf1wmNVjqGIGGo4Bt/CVshVm0BJDTiG6SJiqHcMc50IW3MMuimcpENJ8r1GbSDETmr7jA0l7d4qF8YTZ8dTDHFctnBmHUIAV26dtl7bMduulHM2tXP9BFs6cmHvtEJ0Y3+JCdN6cYpOFKATyeWoLmueOYYwEANEDO7vpF8DJan3WO+7NnS8fgy2kPM8cV3Xjd1E92baJe8YzMVfXUwrq6ua5LMjlEzSDGeMnUqWuQdSwQsYx4kI//D1I9biGacZnlnu4syafn91cJuOgTmToVVJA0BJVbs+/ltnO82hpK15LgLQXLJaQknltYPWWjKNP+9tDsdwxbwk0y+03tQLZ9ZxxZYptCN7uu+Ya4+FY1iPU0zlzneq1WyBZ+vGKaZaITpRmF9X/R3x9799plVTEqM+YujXQEkqHOuCkobNfK6EkiYRw/mzshie/D3J9N/l/zk6cEUM9RzDR7+6gP/lt+/QXuPLzEXbVxLj64eX8Iu3fN2qqcI7V/M+6uA2nQ8/xtCqpEYRQxMoSSef6yKG5fV+7hhyOKghz8Bqp/npCNP5e62PCCXx5+6CknbnKqtBy05vtC2cWbNgJLYdc52xRAzdfoqpfGHnn03hpF6SoRMFheNqokqaaYeYboeNSmLMtEOc9vyNdVBSHcdQQEkD7vCroaQMRDivfcQvXcdgLPD8kzSOwXYWBSHdwDE8s9yVFVOVHTEv/Ka8jc8xBwqTZuZk4Z2rueMYJWIoEtxqyOeVyjyGBlBSDpvNDAAlbZtRHENTKEmNGPL3GrQDnGn8ubvI591FxHBhQUlHltYtRRLbztn2QA1yfNZNMky35XIy1WLHMGjE0MwxrPYSzHWkAqpJEb3dW6cakc+uzUysQUlV5POwclX/M51PAnpcHdxeJ4R4VAhxQAjxNsfrvyeE+Hr+7zEhxJLyWqq89vFxPE8TM6GkxAElFQokZfElF/lM7sXNlcRS3NOAT8oEN/0eRWRAbodhRQwjcAyFKskxQVi1BTTMY2gCJRURQz2UJEtnc8TQnGNoRwGmWmEpVx0xYjhTwTFsnW6hHQUXFJRERDhxtlc4LdN2zHVwtps0JvR9tt5PMd3SoaSmEUM3zjDVUiKGBqqkuU6EqVbQKGLYPT9VQT6XY69OleQkn2sqs/qskKua1RfSTFmbBrrlWC0a9QZCiBDA+wC8GsACgPuEEB8noqLVFxHdoJz/nwC8TLnFOhG9dNTnGNTMD9/1ZSSG8wAUCMpwIHEqE8rUbFjeYbiuNyOGvgdK4nIQJvdwpnAM+t9VFTHwcwyjSlLv5YOSEqUURxPsd6bTLGJY6cqFoOAJBuAYWALZjgJEgRhZrrp0jjkGO2IQQmD3/NRQrS03ypbXY/TTDJd7HYP8O06f6xdQ2KBGJIvMlY4hjxgaqrO6SYpOFKIdNoeSZjsROlFQXRIjzSAEsGtLB1972t2Loy7BrZZjyMf74Kokd1SgPsP5LIsxjojhuwAcIKJDRNQHcAuAN1ac/2YAfz2G9x3JfBGDq7pqXeYzX2PuGnggqTCVr5+DT666nEMXpsPgnasFJSkD1OQYeOF35TGoEYGbhFMcg4d8LiOBEHHqrgMD6Niv+rvP4jRDOwowNyjHsJ5g63S595lphyM7hjNrMWbboZPIBeTu9ELiGBjWujzPMTCNk9xGgZN4MTPJ56ZQUs+MGBrIVWc7ITqtoCYyJbQCKck1RSBsdQluGsfghJLkNS510ecePo6fuPlevOq/fR6PHdfLm7NDM+dvr2Jjt5k2DsdwNYDDyu8L+THLhBB7AFwPYJ9yeEoIsV8IcY8Q4od8byKEeEt+3v7FxeqWnE3M7MSWOhRIrijCKWEtHIM+sNYNgsmleGKLHe8PlBGDOUgY664iny2OoSJiUAe2e+ckX98yFWE9Tp2LeVHzJpeV+qIGm3yungD9NEMrDAbOReDKqmyy9PaI5PN63xktsF0xYJ2gjbYTK/JZrvBEDFwIsK6ZTZXxgllEDAOSz91EcgwDQ0lRdb5EkmZohQKdVuC9Z50qSR2bVSUxzHI6APDhLz2BLx84iQMnVq2+F11P5rP695xPZdJmk89vAvBRIlI/4T1EtBfAjwH4fSHEs10XEtEHiWgvEe3dtWvXyA9iLvpl5rFyTsPqqnyNuVj2il2Bfj/5fg0jhnV3ZFBwDAORz36OIanBWhlLvWxWLiQuApodCucb+HaMXP6jaYJbnGZoh4NHDLyAsM10wpHlqktrMbY7ymGw7Z7v4PiAPY830mojhjEU0uNFjiGkTmtAxxBnEkpqGjH0JZQ01Qpr1W9RKCFEX55BbRE9lWNwRQzKgmHCw2lGxXwx528jKOkijxiOALhW+f2a/JjL3gQDRiKiI/nPQwDuhM4/bJiZMJFrwecoghxOQF1I+RpzV7JuhIvquDFVDL7qqqUsVX9+Do3N83W5qqF8KvBQu+ifOqirMkBZjeMioDlCYFy/LmJgyKFO0RGnhFYYYKoVIBDNOYZenBVKF0BCSaMmuJ1Z62PbdEXEMD+FbpxV5npspnHEcPm8zzFwIb3hHYMVMQwKJSUpOq2g4Bjq8h9Wu804hjiT4yYMAmdRSaBBglvDPAbz/4DctHH/C8sBeOSq6py52KGk+wA8VwhxvRCiDbn4W+oiIcTzAWwHcLdybLsQopP/fyeA7wPwsHntRpiV4OYqqudKZnOc5+UYDPJZvY95rq8fg5d89kFJDUpiAPbiWh8xyNd35DsgFwHNE5rr6vuyUtkxtCO5GFQVIOSa9a0wgBACs+2ocYJbLyc12Wba0cA9o01j6azPGLK5UHiGE2d72NKJChjOtC2dCIGoTlqsM14wpwzyuWlpkF6cYSoKG2c+F3LVVk0eQyKhpFYgBSGuhbY2wU2Vq1aoksxz+f04CvJBRuZ8V+eMCw3YrHIrIzsGIkoA/AKATwN4BMDfEtFDQoh3CyHeoJz6JgC3kO62XwBgvxDiAQB3AHivqmbaSLOgpFT/3XWOekzd5PL/zezHdSNcdPEXgFywXTwEUJLPFpTkI58roCQ1nDZx+qRm58SL+XZ2DI6FxOQYfKoUvlcrDNAKRSWUVJwbyck922nOE3DiFNtMO/R24mpqZ9b6zhwGtgstye3EStcbLQBSSTXXiSrrX9UZL3LTbUOV1BhKSjHVko6/HQaVUFKSZuglGWbbMmKoWigTjhhCUfxuGo+v2XZYn+DmKomhvG5en2ZUREE+ktnc8OlQkv5edz56At9+06fx8DNnrecYt40sVwUAIroNwG3GsXcav7/Lcd1dAF48jmcY1Ez+oEqBpB5z5TFQETHo32ShPMgPq/fxYZNe8tlUJfnyGKrkqsrvpjpHHeCuBDe+V8kxNICSfBxD7oRbYYBWFFRCSTyZeYLNdsLGHEM/ydBplY5hth3h8Onhy2KnGWF5PXbmMLAVSW4XiGT1+NkeLt9SLUPdMtXCygiRFC+YJfk8GJTUjcvIrh1VOwb+7mc7IdbjsLJWUj/NEIUCUYOIYW4qqhRd8HNar2sqQNsx8IbGHOLeiEGFkhxVEIiAb9s1i422Sz7zmRf1SrlqTR4DHzN3DKYkzUViAzqspN4iy6jA8r15DMZY72kDtSJisKAkRc9dkfrPxLJrITHJZx8kwJFVOwwQBdVQEp/bKhzDIFBSVjgUQO5oR+EYzq7HIHLnMLDx7vxCUSadWOniioqIAZBKs6ps9jrrFlCSmfncvCQGX9uOAicJzMYR30xbJrj1U3+J6iQXLYQBc1lujkEIeb8q0UUUiIE5hozKiMFc5H2Zz6qjM+f8AwtLeP6VW4rPdyPtkncMZoKbSznkgo1cGdK+PAYXV6FGF7Fnl7/SS5y1leI0KxbmKvLZfC2tihhUjqGCfOZB6es8BShQkmdhUOGhdlMoKZ9ggxDIktQsJ9FsezRVEkdvVaqkThRi+0wLx1fOv2MgIhkxeKSqbHOdwRrrmMbj3EpwaxAxcFIkX1MHJfF4iEJRRBm+8+OUtIjB3NEDcqy3w8D7vppM26lKqoaSeNya88UrV/WQz1lGePDwMl5yzTbHXzp+u+Qdg1V2O7PP0VVJLvJZ/rTyGPKBREWUYd/bvE59r+W1Eq5RfY5aUdWXKCf/JtsxzLTd2cP890+1PBMkpeJ1170BtXdvTj57J6zCMdRASf3iXFFcU6dzB+TnaHIM02335G5qZWVVf8QAyL7HJ1dGL0w3qp1dl6UufFJVti1TEVZ6w3MMJvkcBgKtUDTKfOZOf1rE0MAxtEJRW3ojzvNforAaSmqHQR6p+CHULVOtwclnGh/5fOjkKlZ6CV567cQxbKj5ym6TA0pyqZLMInqAvvPPMlKKYenXAoYKKHUPhqX1cnFRdxxnzsXO84H6PAbG/82IgZ9n1hdS5/fiXZqvKiSgQknuCcvQURTI3VxVghu/xhOsEwWNyg8kmcwyVx0DE4zD1gVaqiigp9quLR0sjqEw3ah2vJCq1nMMo0QMJvkMoDb5jI1hS41jaMA5RUGglOn2b0BaQaBEDG7yuZ1Xdq0SXcx2Iuffo45dc1xmasQwYh7D1w8vA8DEMWy0WZnPFU5A/e5chfX4WnVAu0JC9YtWB6lWfVU5vrTmdgCc3BaIaijJViVlRV9dU5Wk1i9yQkn5MV5onRGDBSX5J2w7l5/WRQAFdJDjxK2wmWPgCabKVadHbNZTlNye9kNJQO4YVs6/Y+CGQVfURAxzI3IMZh4DgFopKZsVMTSEkppFDJL8ZY7BFzG0KqCkImLoRJVlt+X/7Yih5VFE+cpu+8jnBw4vYa4T4dm75hx/6fjt0nUMHo5Bk6am9oLuIp/5+9PS51USyRFlqCGo3q9BjRhi53GGNC6b7dgRQxWUROWivWYoe/hcX8TAf1unCI3tc4o8hroEt1xfDsgdYiWUlJQLgfwZNKpkyTtRtaYRl+1ei4dbBHnxZOfqs11znbGUsh7VTjSOGEYln3lxVyKGVlDZ97u8Voeh2lF1/aOkiDaD2mJ9SZohUiIG14ain8iIwVc2o45jSCoihjQltD0R9qBy1QcWlvAd12xFEAhshl2SjoGILCgpcezqq5LZNELaIVdVdxeZ4z7qoq0npZX3XVYdQ2Y7hp1z7YEihrRBxDDbccv2+F48Gas4hq0z9RFDK1+w66EkJqrLiKEJFFRGDHoeAzB8TwZWQ812qh3Dzi0drPXTkZPpRrUTK9XlMNjmp1rop8MnT63Haa7+KRetqVbYjGMooKSSY6h0DJlKPucJcRWy6DqOQWbV+/Mn+Jq5KXfEEHs2eIAeMVgOoAHHoK4XC2fWcf3OjZepsl2SjsEJDVXIVXV1QP6aM/NZcQx91THo5wF6CKoujOoAWtZI5vKZWaq6c86OGNRJZeuqUZSW8HEMM+2wyDZWLS7I6QaqpIJ89nMMjL3WQ0k5xxDywiEakc88ydU8hpmii9twC+C5XoIoEJqzcdmuvP7Q+YaTFld6mGmHtY6M60kNGzVwgppqdb0S2AoHznWWashnHqdyHFfLYpM0QzsSlRxDL8nQzus0VXEMcx6OQSqq3HLYNINfruppxuNTJakKp82wS9Ix6MSx/Onu1uZ3Fq5S2urA0qokOmSvvhBUI5/X4mKXqx7vxhkCIRdpc43U5KpkDtQMUSDLSpi7WX5GLmxnTpLUgJJ8kywQ5T2qSmKUC301Z2DKVUfhGIoubkNWWF3tJZibirSeGy7ble/QzzcBfXK1h51z1dECUEJjwxLQ6/1UI56B5uRzASVFDR1DQT6L2hIacQ4lVXEMKvlcFSlvmWohTu1OjUmaeVvUZkRFtGLJVX1ltz2qpIwINcNurHZJOgY3NGRjfk7ewaqtVL6mtQFUJkWRLe0hnzXHoJLP6zG2TbcQBsKCuMJAIAxsrL+flvi9uYNJMkIQCMx07L4EZvMcc3Jy9NEKZSE7nyqpE7/DhiwAACAASURBVIUIAoF2FFSWxOBnjALhTDxS/x75vgrH0AhKyjkGI8ENGD5iWO0lhdOrMnYMJy+AiGFXDYwEjCFiSFKNeAZyKKmRKskhV20iRmgQMXDxxaqIQcpVpZOp4xhc7xWnVPztJiSaZoRQCDlfjEoJTchnsxlYuIme4ZJ0DInxgQNqraQ6KEmPGHz5COri44o8dMdgOypARgzz0y2EQljtQQMhEAbCURIjLSaMqyRGFAjMtOyIQSWfAaCX2hMAQJ4wFHg4hrSAbjpRUBkxNI0AzMxnGWE0IJ8dUNKgPaNNO2eU8fYZ79IvjIihWloLyN0wgKFzGdb7qZWN2xxKMuSqtbWSGEpSVElVctVQFNyHS+TQ54jBl+CWvx9/7ybPkGSZkttjy1WDgOep+lyEjGS+R0a6RN7XqIc3g5tll6RjcEFJmSMCqGrt6Vrs1QXO1XDDq0ryDIaz6zG2TrcghB3JhIFAIITVF7afZE74if+eMBCIQtuh1EUMfH4UCARBVcRQlkXwhfj9ROEYaneIOccQ6ZxEXb+DvgNK4p3dsF3cGEqqs8tm2wjEhcExDAIlDRsxrMe2Y+g0Jp8dEUMT8lnNY/BxDJlOPvvyGFqhP48hzWTJDN5UdI1CeklKRSTqIp9lxCC0dYI/l2KeZh7HYJT73yxFEjBxDJYqyUUqO6MIx2vqAqdDSbDu7Ys09EEiJ5wZGaTkjxjilArM05XgFvJ1ptNQEtwA2zGoWH8UBE74h6EkgCOGCiiJF/oaKEmFsACgXTHJ9WfR1S6AIlcdUi202ktriVxA7gR3zJ3fXIY4zXBmLW4EJY3qGLqxA0qKqgvcqdcCuly1yUaBO7MBFRFDkhURLjBc5nOSR9nTHmlsnGWYabk7ESYZIQztecp/M881dS6qc8ZsGjaBkjbYzEVWPUYOuEf9gvjlsjRG+Vqc2F++em+tuqon89mMTsJAIDQiAyKZ3BYKF5SUlZJSB+YZOQaq/FtLuSpgE3p8fliExq48hrRYiDsVskNJPqt5CYPlMfA9qowXJRVKqoMe6kxCSc0KmJ3vXIbTinKtzhhKWh2y9PZ67CCfW9VNdNgsuWoYNosYFI7BuwHJMk1G6+QYCijJrcbjKJvHjslPJSkVva6tInq8ETPmKY/N2Q4r/MprvBEDETYxYJg4hqK6akrWa1VZzi54yC9Xtc9VF1Y98xna/wMhEATCilrCwD4OyOqq0y33DillbsLhUOIiYnBDSVwsjIuSufrR9uKyzLWEkqpr2AASSqpWJeVQksJJuJ7PehalgitbCT0M5xhWu83IZ0DmMpzPiIHfe1PI5zgbnnwuMp+bld0uuK5GqiSjiJ4vwS2PGPh31ZKUcmWT27lI8tnNMfDGzpynPC94E6YrDtPiWUzl4wRK2mAzsTvArUDiL5qMXbw8H9ZreoKbHQX4FEy+zGdJMsMJJYV5nSFXxDDjCFH59ygfqNbOqOAYcijJIcsDUEySKlUSgLztoodjUPIY2jWZzKoKBSgT3epyGco8hnLB4uJuwyZynWvIMQAyYjivjiGPVppEDO0oQCcKGpczN229n2qRGZBHDA0iMzNrmiEdX79jNY9BllVxq5K4+VWrJmJQ5aqAi1urhqNiRa6qXlss5g7Il/9mH8dgHi+i9YsNShJCvE4I8agQ4oAQ4m2O139SCLEohPh6/u9nlNd+QgjxeP7vJ8bxPHXmym5OHFGE6TTUa12qJK1WkgYl5dcOyDFkVJLMLlWSK2LoJ2VYb0UMKSHMSwSY15WqpBryOd+BuTkGFUqqiBiSMmKQmc9N8hjyEhohlzcYnGMon2vwiIGIsNpvpkoC5E795Gq/liTfKCsihgaOAZBw0tkxcwxpZuv+rWuTVFMOdWocv5r5zB3fXN9nrHBTvr7LgFIrqYg+7FIxLLhw3SNJM2c1ABN6zYyoACg5hsx0DC1dPMI/NzNiGLmDmxAiBPA+AK8GsADgPiHExx0tOv+GiH7BuPYyADcB2AuAAHw1v/bMqM9VZS4noEI7jMUXpbiVsVCdx+B2DC4oSe3a1k/dDiMllru5VUlOjiEtw3pXHkMYyMG6HruhJNfuR329FchWib6IgRfOTivAuXPuhSbOM1KBeiipzGMoVSuA3UbV9SyAyzE0w75NW+unIKovh8G2a0sH/TTD2fWkKBGymcb8xs4t9XJVQBLQQ0cMLseg5BhUZez24kxTjqmOwdWQRh2HgBwXrk2KKmut5Bi4VlLohqWSlKNzd5XUOCNlvtn8gGueFhGDA0rqKRu7chMqXwsusojhuwAcIKJDRNQHcAuANza89rUAPktEp3Nn8FkArxvDM1WaS66qrk3FMeLfdawPcPdlUMlnrVaSi6vQOj/5oSSWuzVVJfWT0jG4oKQwCKR8zgMlMSFmk8/ydx7ovlpJPMmrEtfsPAby7qz5M20ZHEMt+cwcg8MxDBMxcN5H04iB8wcWV89Pw57FlR5m22Hh6OtMFtIbnHwmIi/5DNQ36+kmejkNH6TDVkCanCAZuoUQalXesrWn6zzSoSQTQs2YYyh/N59nus3X2hB1OU+Vv5m70DnKy/RiGwrOCidjPf6G2Tje6moAh5XfF/Jjpv3vQogHhRAfFUJcO+C1EEK8RQixXwixf3FxcaQHNmuQyJ/24lxkQ7vIY4dctbZWkprH0ABKKsgrB5RUlcfQjoKcf7DhoChwy1WZXGZ80wypVdLPxzH0teJ4gfMcvlex0Ffs5uS5WRGOAwr53NQxGLOpU5FfUWWrAzoGJn1PnCee4eRqHzsbEM9sw1ZYlTklcOYxAPXtPdV+z0D5fXkdgwJpAjkU6RmLgIxIeeyY8CMR5ZUC6jkG3q2b2cgZsYRbOCMGhqGceQwdG4LqJZkFBRdQ0kUWMTSxTwC4joi+AzIq+PNBb0BEHySivUS0d9euXSM9TFUeg3qMv+eSI7Dv4eMY1usS3BxQUjsMjAJ/5Y5D50UYu7QxT3YMQSAsyCzNykxMC2ZKs1zp4ecYAiFxTpn57NJ8Z8VCHypQnGn9VFclAf4IQC2fwZ+RPF7PMXSiwKprVJVfUWVNK6uycUXT80VAn1zpNeYXgOHbe3LCl5357N5gmNY3uuzVRQwF5xQoG5AqKCkQXo5BLSXvc0hxpkNJLjiYk+g0jiEteQGvXNWRb9RL0mJzZqITF1vm8xEA1yq/X5MfK4yIThERz5A/BfDyptduhLkcgxte0lVJrhpL6sZb5xhKdYELdjKL6LXDwNpZpAonoDuMcpF29WMoIobU/puiIi/C5h+iUHhD6jjLCmWQGRoXz5uWafsuxZT+95p5Ce5zVSeinl8rV40zi18ANjFimJM9EE6unp8Wn4sNC+ixbZlqDQUlmf2e2aaiZlASq4LYfOOPLUnLsQ/IsRhXQElVqiS1DpfvfdOU0AqCgnx2NdiKcufjKoYZOuZp15CralLWOLMcRnqROob7ADxXCHG9EKIN4E0APq6eIIS4Uvn1DQAeyf//aQCvEUJsF0JsB/Ca/NiGmkuu6lIU+H76jumNetICK3T1cNDkqnmGprmzyHIuwSzCpZLPesMgKmAaEy5KVI7AmTEt2yD6dk5JSkU04MN12bnw+3jhoUTlGPxNVPh4W3MM1eez9ZJMk6qySY5h8IiBezg0dQzz0xHaYXD+IobVXmPiGZB/18oQ5HPhGNqmXLUZlKTCikA9lKRuUAA5HtxVU/OIIVI4BmPM9BW4seOJVIoyMg7yuXAMufLJBQm75mnXSHBTE2D7qQIlGQKXuqq+47SRVUlElAghfgFyQQ8B3ExEDwkh3g1gPxF9HMD/KYR4A4AEwGkAP5lfe1oI8R5I5wIA7yai06M+U53VRQxmNdTiHG1x1q8H7EY9s50QJ1dtrFBeX57LNV0yItsxBC4oSSGfHSU5OpGda8BvV8rn9M8kSY2IwQElhUH1oq+eU00+k9Z4Rx7zLASJvnAMksdg8gsAhtbrr+YF5mYbZj4LIbBzrn1eHEM/ybC0Fg8UMcznqiQu/NbUXG09AdUx1EcMkQoV1iStqRsUAE5YlO8LSCgp9JRRUZtAeRPcco7BRT6XUJIt4eZ1IXBsxHhjUvQ2yc/lMe1DGjYzj2FkxwAARHQbgNuMY+9U/v92AG/3XHszgJvH8RxNzc0xqORzfp7hsTPHdVqtJGVQrffLiIFPYYcjBDTCjOGSJMtsKMmhSiryGIQAkbyvEELbAUXG4l0WH8s5hsw1AfwTRFUS+WAiVnAAchflch4q4QeUjqFSwRQ5OIZauaqddAXIPIZh4J1VjhgaJrgBee/n81AWg6Wql2+pbump2txUBCJgLU4bR0VACYu4qqsC9RFDP9GhQl8+AVuSmhGDh+9SEuF8ZbfV+eJzSCzYcJHPaptRs+WsmpTmmr+A2iZXHmfuwYwYyujD+ZFsiF2amc81ctVih2+U4nZBSepYM/MYuK6O+QV3Ip0wi/Oa8CaUVEBGRoIMJ77x7pyvKQZ6HjG4ekuwQzHnUpzvxKJAQAgH1qpEA4FHrmpGDD64CYDCMcifvgjA5BiKPIZa8lnXx7N1WsNCSYNxDECe5HYeIoZBymGw8SZmbcCS5N2+zzFU92NmSzJyli3xQ0mkiRF8EQOPp6qsZT6HM7/VY8Xz5SUxnOSz8h6tUDihpCJi0GDd0mmp5/K45KJ8ZhLtP0VV0gVlbiip/FLJgI5cUJAzac1o1GNzDLwo6rscrjZqZjJnVC7kuoy1HHDqc6kD3eyZoGYuu9RMvBPjbFJXglsRMXhw3STvEAf44SZXRzb1uHXPlAyOoXkeg5N8rugTUWWr3QSBsCGTKjtfEcNwjiEvST5gP2w/+dwcSlIXeh/WzybVc+X36otMWTraViMGw4FoEUPob1AVejKfywVe5M9hS95dJWh4wefn4nM5WjFLYhSw1MQxbKyZOQGAQT4bC3kJBZX3MBv7CGFHDGX1RP3cdhRajXpYLWRHDKxqKN9bJr5BCW/lcXWgmz0T1F1H6Gi0ExvEsV1lMlNed09GO2JwOAZPwloVlKRi0HURBls/Sa3kNmD4khirvQSznfq2nqrtnOvg1GrPq87aKFssoKRhIobhHMMoUFLkiAirVEnqeIgcsCigNpaSGy4h7AQ3NcLmhd9K/MxIjzo08llPolM3hjw/JPnsqZpsQFwF91BASfkz5T8vNlXSRWc6VyB/uuElcv4EFP4hH2tma8D1OHXIzspzTblq2TKzfM6iJIYwCvkVEJP+LOpAtyIGZQcTGrJYQA5y1oY7+zUYi76ryBnXlZH3cJcqUBOPgDJRqTGUNEB1VVfEMDUClDQIjATIHXtGZQnszTKOGHY06N7GxpuYQaEkszUnW9MEN1N1Vq9K0sUIPpGDSgwX5/nI57CEisxzCo7BRT4rZTfM3uWZthEzN3wo+qLwewBldDVtZESrsNRm2SXpGFzJbM52n6YqyXEOvzbVCouBkWWEbpwpOmV5DS+2nciGktoOKIk8pS9YlcQRQ4lR+jkGnjy+GkvqTswZMRiOw5xAWSbLhYRF4pFvJ8dRDRfFqyaT49Sdx9CkH4OTYxgxYhjEOMFss/syLK70sG2m5fz7fcbwxbkBI4ayJpWR+dxQPZYYnEGTkhiRskCaiWVsZktY15g1OTkA9oYoLzwZusjnTI8YtPL5Sq0kk9OTasMyAjCFLPwZWCUxJlDSxpozH8EhNTMXf2eLT2Wx54HGk6EohmXcr21FDErugQkleVQNaijK91U5BlnPyKOrDgJrxy+hJL/qqI5YtkoVhFISa72Ph2Pwl8QwOIaaTGk2vypJfk++ss4+Wx0yYgA2P/t5ccCsZ6CEktYHjRg8VWwLB55Uf86xR5Xkcyiyx4IaMXg4BoPgbTki2Lg4R9m9W7WSpCNyk8/lmI88eQwuWTnP69DY2JUcpPv4JgYMl6Zj2HX4U+hAhvf8felRhH7MCTcV/IMaMeiRBi9oZsQhI4byXv18FxQqNZGIZB2WIo+hAqMsSodX1DPSqj0G7mJgrA83HRHAzstPLJvZmZFnB2Y7hmooySQnywS36gWnn/oyn5vtZE0bBkriPIJNdwyrvYGIZ0CJGAYkn4uIwXDCPD77aQ3HoOS0AA0ihkwfD2aNIjZVMQQgrwhsKu3KHb8vO5o5Bif5rIzltkGCm3lD5oYvyElpea6+PvDcmEBJm2lLT+PlX/lFvDaQOXVVfZ3NBd0ZMSi8AYevhec3dMpqqKju5hMVSjKcUeiAktQ8Bv5dfd8wEJZyqFAlBYGzlIYKJbkiBs5zqHqdX5PP4JEI+qqlehYCS+c+akmMIbu4SSipOTQDKBHDeYCSBncMOfk8YB0p/hxdyYR1TZgAzri381SqEtxUKMlX0NHs/OfiGFR41VQIsTHH4CSfizkl55uzJEaAvNiljki4NnbWumGU3ZlASRtp8ToAYEbIyVrVqMfmGMrbmIv9VCssdqE+ORr/7EShG0pSdupqUosQuirJFzGoWKS5qy8nAawUfSAvNcAcgkOOynXpAblzcfWTlvfXIwYf4Vf0Y6iplcRSXjYhbM24y7x5DDUJVD4710sx1xmsr8JsJ8JMO9zUiIGIcGKlOwSUxHLVwaCkfprmC6O9lLRCUevATQ6pzjHEjgQ311iwIgYPPMrneCOGnGNwRQxqd8EocCe4ucnnEiJWzy0FIkbEQPrc2gy79BxDJgd+G7LEAXtjvex2SaYC9o5cPaZmMfJA4S/SDgnltW0DSmK4RCWftZR6oWP1aYaid7P6XGZ9Fle+Bndwc02AYhI5EthUktAdMejOsJhoZjE+D5Tkq8Rqcgx8bSOOwZPHIF8fPGKYGzBiALiT2+Y5htVegm6c4fL5wRwDK2EGlav6IjNAyrLrPufEgJKCwJ1HU5yf2Qlu7ohBH2fmws33kq+pHIMdCbdCe67xs8v3EGhHOqSVKYu8FfErpW7Uc1X4KRA2hD2BkjbSCscgfxYKJMPb68ls/LMcCGa5jKlWiIzktXxPHsDmjr4T6b0KWJKpJp6pKfUuKInzG+Tv0N7HhWuWumpY2CaQ78Rq5ar8emA3ASruby74BpTkIZ+ryiyrCwFfUwVREJFVzpmtaTlo09b6CaYbNr1Rbecm934eJrkNkGNiuhUOLlf1FCsEJIla5cDN8ijFdVGFY7AS3IRzLJid3lyFH7VdvdDnqnqOq8oAYKqS9M0KrycBR+gV5DOfq8JP6hwsE9ycH8mG2CXsGGTE4OqVYBazM7+gVhhYYV5HUcsUIWFBPkN7D1PzzOF0qEBGarajC6OUIar+fKmKmXo4BlV6Z+KlKrls7ZwULLhZxODmGErtt5n5XAElOSKGqp1okkni3p3gxolXzSOGOM0Qp1TALYPYrvPlGOaa10lim+2EQ8hV3ZEZUL3AA4pyyFjx1La6pqkiCKAikbLIl/ELJsoxqybB2eNVlonJqxxrm6lyA2g6KBPWtfIYnBGDMecNVGLCMWykZXLgt0UeMeTfl84xqAoBYVVbjRzenHdN/TTTdvuBgAVFtcPACkkLKKkYDPI1nyopCPwYJQ8sZ0mMoKw2aSosyn4LdkRg5jmYEJHqlPh9zM8VKEnmdkMoySSf5bXVO1Gfth4ov6dBIgaGV4ZyDJtcFoPfa9CIAZAE9PoQeQwuBwzYGyDT1OqmqrlgH7YkG6wkRlXhx2LBrUiCS5VIOTLmRRExhIGUw3rk4RIiVu+ZGVGIfY3qTIp5PYGSNtA8UJIZIag6aFOV1FagILNSYpxk3kW9iDgifeCrEYNZ4rto9GFCScK/42CVhSvsdXET8hnKcsbOWkrKhKxUJSnOA7AxW3MnF9VCSWQtPK2aBYc7tPnyGOQ5zSOGbtFzYDjHsLQW15Kw47JhoSRAOr5zA5LPVRxDq4IrAOzosbzOLUEFmpfE4K6IWiZ+A17MLolRQplBYMKv5fWtSI8Y1MU8FOb6UsrG1XPVjZ0qXVe5h82yS9gxSChJlaSqeQeZ4hgy4taYKI8VzkIeY+w6TknDCoXyBTNeaSaI8a5YdQAmkaztOFiV5FU1yCQ23ZnIn6oCw0y6UWshuaAiVRNem8fA+QZmfRpjJ1fXqlMtzMfWriGfy4hhPOTzKBED5zKcOrc5UcPiSg9RILBtejAFFSD/vvVB5apJ6s2wbhtlYkwzs+DZqsQFcaZHkP7WnnJB59pWLmfDc7DoM+IQXaiJnebremlvd0mMULiL6AUCltxc3dip6EHpMJwfyYbYWByDEOJ1QohHhRAHhBBvc7z+S0KIh4UQDwohbhdC7FFeS4UQX8//fdy8duxmRgwK/s870yzTIwbAhJcCi5vQOAaD1FK/4FDkPZMtuareclNVJZnYJveC5tDSypCsiRicteXr8hRSfYLUcQy+UsemvryAkhwLgdqRTjW5E3U7EqCMPnwlMYBBoSQ5VqZbg5PPm539vLgiW3oOAzvMtKPBIwYPyQ+gUl0E2MohtigUWr8S1cw8BnmuW66qQk7VHINb0srjz/e6GiVLx2NDt+XGTn/NRWhb4hEH97BZNrJjEEKEAN4H4PUAXgjgzUKIFxqnfQ3AXiL6DgAfBfBbymvrRPTS/N8bRn2eWss5hlbhGOSHroaMGSmwkaIs0lRJ+VhUM58BuSPOlC9YlZ0RyXDUrO9SQEmuiMGx45ADqySjzES8Mo/BJZ8TxW7eLAjW0nZGdmmAlgIl+SOGUtkE2FVTzcWAz3Nr0UvoTrVaKEmpgWMaF3sbJGJYH5FjADbPMZwYIrmNbaYdDi5XTTInZAc0iBhy527mQMjyFU1LYvgT3OpIajvKNaLs/L96r3MbSmrljXpc882Z+UxGrTNj/pal9u17bZaNI2L4LgAHiOgQEfUB3ALgjeoJRHQHEa3lv94D4JoxvO9wxhGDiNFW1UVZuTPNVI4hKo9pqiQDF/RFDCY8JCOGcuGl/L0KKEmJYADGKGtKYrjgJ4PwUrM83d2oMm0CmJswE2qyrrciBpvH4M9Hfoby9aL/Q1V7RgNqqCef3fV7AIV8HoBj4MVyWI4B2LxCeosrvYHKbas2jGPoexIJgXrIr+/5fqPQTqBkc5XEiFPSqg8DtpqtKmIoEjdNqMiEmgwZd1F2u6iVRFZybEk+61CSq9aZtaE0kYCLKWIAcDWAw8rvC/kxn/00gE8qv08JIfYLIe4RQvyQ7yIhxFvy8/YvLi4O/7Sp5BY6SNAKy8UzMaAklWOQx3S5aUlI538EcwwJWZ5fVTUxzMMDR90Vq4lsPI44c9IcWCqU5IKfTFLOdBqAzjGY/RjMiEENqV0Rh4XXetRGDC2YDd2r6t24oaQhVUlDZD6vefoaN7Eds7L09aZBSUPUSWKb6URD5DH45ap13xOPDTOBMQqDGihJVyUBgHl6kprluW3ezJWtr/Vitwhs4d4MhaKIthPHYm5yE75+DDwFComrWdHgIosYGpsQ4scB7AXw28rhPUS0F8CPAfh9IcSzXdcS0QeJaC8R7d21a9fwD6GQz+qCq5PPdnVGK2IwCKMppSpkUdvExArzARGFQcFZFGn1HokaJ6SZfRp08hnaz6JrlEMlEQVuVZLdj0H/2MyIwr6+WcSgyoDZzMqUbCZRzVaX+VxwDBWqpEHyGNZjOWaGgZKmWiHmp6JNcQxpRjg1gmOYHRZKGjKPwWzaxNYK/KokM+HRB0WaDZ4iJ/nMY1aFisrXy4U/f13YELB83qA4x2zg5S2i51AVslMKAmh5DPxMF1vEcATAtcrv1+THNBNCvArAOwC8gYiKWUJER/KfhwDcCeBlY3gmvxV5DKnmGBjOAeQiWuYcCOWYvIUrj6FUJWX6oq5ghUXGY1DuposFNQy0RDaLwCZ7YJn1W1KFYDZ5AGfEoDi3jMy6MibHQNai74pIguIct9rIDN+BfGdZkb3qKonhOp+NowFXYbfhyGfmGAYnn4HNy2U4fa6PjIaTqgLAdDvCWj8dqCS5r+8FwHkM/nupfZlVq3L8qjpOnuuBLDO9lIqzDEwxx1A8R+oY00XEENo9ToJcTl5U/c2vV3f/6iIPKEX0rJI2/KyBtqFU15PNsnG81X0AniuEuF4I0QbwJgCaukgI8TIAfwLpFE4ox7cLITr5/3cC+D4AD4/hmfyWRwwdI2LIMiq09Wrmc6FK8kBJhSqp5eEYRElQZ0RFEThADiw1X0HdWVTtOAqM0kc+Bzb8pDXqMRxD2e3KvXMCDLmqK2IwOQbfhFV2WWxtH5TEzVYifeHo1OYx+MlnKWEcjnwehmMA8npJKxvfxa3Meh4+YgCA7gBOs+dpoQrUZ6iXclWHKsnhUCifl7raSN+pF/dO9IjBXUQvK7KaAZcctVrOGmd2FG0iCbIhjy0ND4VDVUjqNeXz8vpxUUUMRJQA+AUAnwbwCIC/JaKHhBDvFkKwyui3AcwB+B+GLPUFAPYLIR4AcAeA9xLRpjiGtkhkjkE+btWIgRyOQVclleQzf9/c/Dw2VEmm0kjWQSkHs5khaSoUQiEXMq2Ino98ZgjLFTGQ/j6AoshywEDqzsmckCY2qj1vIIxz7PBdCD2L0wcl+TmGavKZd6IuiEMIgU5UvWCZNooqCcjrJW1CxDBK1jMwXE+GKihJNkXy36vIA3A0+anq4+zqz+FS0WlchCfBTY1crc2UAXua5eoTLSnU4AuM+aZ1cMvKxR9wJKhyxQTHhm+zbLjY2DAiug3Abcaxdyr/f5XnursAvHgcz9DYiogh0XbzKseQKtGBqkpS8XHTyxcNYBKzJEZJcKeZPKYOZlXmqeOKJTSjZkHKZ4G2uJp65zB0cAzK4DLLVahwFr+nrs4wQurKiCHQznXlMajRAn+erh1iJcfQgHz27WSnWmGRHd3E1uIUrVBYz9HUdm3ZnHpJo2Q9A0pPhn4CoNk96uSqVVCSN48hcKuS1BIUbK5NCv/eMjgGK2Jw9HZw5yKUY7pKyadeo0nHjfmbZBlmosjBERoRv3H8oooYLjrLZOoBtAAAIABJREFUHUNLJBp2n2RlzZeMSoiHOQaJw6sRA3dZ4/PC/D6khJGSB1BVQ2q53STTs6RDAVuJ4KuuqpS2MHtUc8Rghq/yfewaS67G6a5+0WoCnHq9/L8t7VOfST3P3Pn4a+rzZ2vnMVRxDD6Igm2YiGEYRRLbri0drPaSgesQDWqjO4bBSm8nOWzq4xhaoajMY/DJVevGg7qY8ybD3UdBX/TNeyYZaZGrnadQCkMAW84aO3i3JlBwSuXaoJ6rJ7U6qqv+U1UlXRDG5DNiDUpS8xgkdKLvZjJSk96UY0a4mWqLvd4XgUkndTBrFRWVXQKPoyBXJTXJYygHkF0bRlVglHiofK2Ektzqiybd2cyez0UvZyvBjSyy0VdszWy2UpwfVkMU/ZqIoROFRf2jJrbWT4YmnoES89/oXIYTK13MdaKhn3Wmo0YM9VZVegSQm6U0I2unzlaV+dykMB6gJlI6oKSaRLg0M7KoKzZT/FwaiazwbuZmqypvSG7s4CCf9c2gq5vjZtkl6BjKkhhBoHdrKxf3MrzTlUrGsYyKL40hJ3UimCWzLVWSQlRHoe5EbFWSfB8i2UBIK23hzHx2L9z8Gv9N8jVz4fdFDKYqyT+JqjgGF3TgrKmfuBcOH/RUXOdZcNgGjRjW+unQxDMA7Mx38CdWukPfo4kN09JTtUEjhn6NY2DRgLfu0YBQobn5UP/vysTXYSKbY5AbLN3JuOZMUY7egoRK3s0UW2iNtgzIN808eQxmlGEqFC8yVdLFZWoeQ75oc7c2PfPZiBiU3T0PApV3aGvOQtktqMqnHEpSB3OiOoDADh8LUtrcVWgRAxyvSeVUoYhS+Idyx59Z1/FPJ8dg4an+ZCAfx5AMAiUVE3O4PAZvxNDaXCjpii2yN8KJsxsbMSyu9IZWJAGDk89FxOBt1BNo55nmIpP5d1eCm0vRFvlUSQaU5IwYBuQYXKVp+FF4k2YmuKkbQdVpBKLs8WApmYqSGDasvFl2CToGmfncQpLjeKWnVjkGXvNcvEPL4QRUp6JrmKGRSFxED5CD2XIiHvIKkANH31Xk91Udj5DKm7LftDwncdzPdCiqHFVXZ+gRhTNiMLIzvaSgouRg8zoGo3cDG7dG9entzZLLpnWicOA8hmEVSQBwRd5m89jZDY4YRkhuA4DZ9qBQkr/0iHq8LmKw5KqeWkkqPMPWNDJ1Jbi5VElaNYDUHvemYyjFFuX8B+zdv/aa8r56ZADtGldO02bZJegYVI4hX8j7XTxHLGhlt8t0/XKBVfMYAFPCqhDKSuinkkhpBiNiUKAkQ32kEdj5eEgVh+WqkpoYA47fQ753SQ7biXEGlmpGDMZCyySYa3dlThQ7YqCiXAabD1M2ezewFV3fKpr7tKOg0Keb1omCgWolrcejQUmXzbbRDoONdwybDCVVlR4BGrRtdZRHkb/XqZIcclVHsUYzYnAJIfTeDoG18Kvv52p+Vc43aM+h7v5d5fF5DmlKxCJfAW5YeUI+b6CxKglJiaU/eAtua78dc1iXp2SwIgE1Omir8BJzDNoxJQpQaiXxjj5SFlaNSwhsGayad6AT27ZEjmso8XXqa2rWtrlom3JUM2Q2sV0XTGRmNPuw3ySz5aq+jl0+uWpdD4c4zdCpkJZOteqb1Ku2PmLEIITA5fOdDYWSunGKlW4ymmMYlHyuSCRUj/sjBh+UFHhKadvQol/9pstVfY16VOfhk2n7yOcky4pFPzQjBmX3b/ZmZ1Uhv67PXzleZFMgeT4HMZuZx3BpOwbki/jyM2iLFFtxFoBclM3kGyK7sJ5KNPMkUCMGU2rKO4yirkpmJLgJUQwC02EAOqfhK9ur7vrV+5R1WBydo4xQ1erlUITUBsegKjgcYbd6rXovm2PwFdHTHbF6PgBvLkM/yaykKdUk+TxIHsNoqiQAuGJ+CseWNy5iGDXrGSiLBDaPGKqhJJ4T3oghczt+n7jAjFzVa12Ko1DjItyqJBW398q0mWMQpmoJdsTg3P1DO8aqQkAntLXjgX6cz90su2QdAwC0RCbzEXrSIczROQB6foKmSuLoICoXRo4G1IVY0yMHZUE6Jp3URVNrAagoiXj8cVhZ3NtJPrsHlvmaqscG7LK+Rcjs2TmVeQ5+uWoYut9fPc+GDtx9e72qFaVgocv6SebNYQDkQjZQEb0RVUkAsHt+Csc3EErie1+xdWroe4SBwFQrGAJK8qiS6shnTxG9yBBOFOc7HIlPrhobnf94g6be08UxOGXaWg0x1TFkymv6nOB8HeEin7NyDup93suIP3BASZvoFy5Fx1AO+o6I5ZfSXQYAzNEqALkT4AFSJriVC2lbixjkvVwZ0kw+q1CSmnmsRhxFRVRHGnxZwsJNaqmhqI/8dfEPJpTkz/DUXy8no4tj0J2HTT7brTpbgbvEha8fQy12nWYWL6HaUOTzCKokII8YznatxW5cdjSPRq4cwTEAg3VxKyIGnyqpAfmsjmO2IiI0CzAasmn1XAtKMhRHrmJ7ah4CwLh++az2mLYh1gK6dRTEC5XFHzDJ5/w9lTmvFqpUZe7qZnCz7BJ0DOWg74hEfvi5Y5jNZMTgKqJXp0pqe+Ahk0QKRUk+xybs5CSiRBGKqpJZVx5DYmCX/J6AnCg+p2FOAFexMEDhGByTzMRjqyMGB/ns4hiKIno+jsG94PTSmohhALkqEWE9Ho1jAKQyaa2fYnXA1plNjWGqK+ZHcwzTrbBxhnZdHkOngQN3KcdKqNWGIYFy0wGUmxWrf4i56Ds2KokBN4VG2YzYUEGpu3hAzjuzTAw/h5Sm5/c1k9+U9zUjg0C5n8U3TqCkDTTVMSCRdYdyKGk6jxhcRfRUZxGpUQTJonBlNrEBJWmeP2/tqeQRqOojLY/BBRlRSXYHrhBVUTtYHIMDZlLLgajHzQ5tluMwJoF+TqCday74Zs9e+XnWFE2zaivVkM9JZsETqg2iSurGsr/G1KhQUr6T3yg46djZLmbasvfDKDbTDrHeMCu8Fkqqg/w8DpzHh/n9lnktwjrXHGeqlFQ7T4OCHJnPxuvy/cokNp17Uzg9ZU3ga82IQZ2n/Ger75kpc1TPY4B2n82wS9oxtBHLhb0nI4aZVEYMKsSjZjRb5HPORai5AUlm5DEo6gKzlEWslN2OFPKZSM9XYNmlnsfgTqk3VRIm8c3PZb7G7wXYiqLYJJ+N69VzeeyyzLau6iXAUJK9yCceKKkOouin/oqfAKuS0kawDit0xgElAcCx5Y1RJh1b7mL31imvRLepDdLek51rXYKbt7dCSk6RQFlOxRMxGPkJgBuydOU7qIUlzWRLXykYbbEmw7EYJTFKebiy+3dUKNBVSXAc16uubiaMBFyKjiFVHEMOJQW9FQDAdCYjhoyUnAU1j8GAjZhj0NpsKot3UVddGRCBAiVlmZL5bHAGLlVSSjqUFIbmgKtQSWR22Osr6+srtWH2YzBbe6q17QF/qWMbSnInNPGC4sOgfTtRs9+vaZ0o0Lr0VRnvnsehSgI2LmI4uryO3SPCSIB0mk2hpDpVUiMuKLQXPF9E6Cqi5+WyMjfHYEa5JkGtlbd3RMo+jiEy5lTmiNA1WSrPtUC/xgclbbJfuAQdQ2Y4hgwI8ohhKmXHYPMJGblLYpCCJXIRLr2uurAGixrWqufqkFG5A1d36CZ/IY8j/5nBhIOcEYMRfrtINn4+9afZhMfsf2su4OZE4ve0oSRPCYSM8sY6RsTAC0eFXNWnrQfULm71cNKoTXrYeNHeqCS342d7BVw1io0TSirkqh7Ir+9x4AUH52nFqfdy5rFsZzXr5bndSjotCS50J3aGHsfg5BiUOeWDklJSIgMHBwlAk66raqXNskvaMXQQI80yBH0ZMUyl8qeTfM4I15/6PC4Xy9ZCrUrPXLkJKlYvIwA7D4LPle9Vwk9mgoye+IbieQEgJT17md8D0IlpM//BJI6LgcyD3NBzO/Fa14If2KSyS67a8pRA8HEFTeSqlRFD3j+gSYXVtRGb9LBN5/j/RkQMaUY4frY7siIJkJHRoNVV/VVs6yIGu6Ai4FcauTKfq6Akkz8AoG1AUsMxmORyYqwBofl6WpLIlWUvKvKNdCWi4YQc0cdm2VgcgxDidUKIR4UQB4QQb3O83hFC/E3++leEENcpr709P/6oEOK143ieStM4hgSdbB2C8jIZiQ0l8aAQ3dP414/+F/xk9GkEgcA14gRo/QwyKr94lnnq5HNJHhWOQeMjVJI5P0+JWAKjGmpVqj1nTvLr8j2y4jUzx8Cqy2Q6lRpyumr3BbDKw8aJXRFDRnoEwvd0qVZaNdh1P6WaiKFaX6/a2pgiBkDCSRvhGE6t9pBkhN1bp0e+11QrbJzjwc2OfAqwJiUxXFBSWUvMUBo5xAiuInpckaCOY3CSzxqHoI97k3w2ZaeADt2asK5LJKIqEU0lk0v6ulk2smMQQoQA3gfg9QBeCODNQogXGqf9NIAzRPQcAL8H4Dfza18I2SP6RQBeB+CP8/ttnCl5DG2RYCqXqAJAO5YRg7qTb+d6+OkzjwMArhfHEAqBW9q/iiu//M5ClQSU5JUmQbVUB2USWJplegTgSWRTMf+qPAZVieGKGHw7fldJDHk8015XG/mox4v3dhVDMxZ713m+2kf91A0JFRxD4oEoKvoQAwqU1CBiWI9z8nlEjgGQyqRjG1AWg3MYxsExSPK5ecTQqahJVScSSDJPROjNY/BHDFr+AenjVT3P5Bh05xFojsPkNFRYmN/Hqgag8QIGZ+ckmT1QUqA7jE32C2OJGL4LwAEiOkREfQC3AHijcc4bAfx5/v+PAnilkKPpjQBuIaIeET0B4EB+v40zNfMZScErAEA7kY7BJVedWpKOYY84hk6ygmvEScwd+RIyFdfPa6mou32hcQwwEtzKgaSVvsjcDiDLdFJaCFEUAgSgFecqnY8KY8m/00y4KZ2Q7jjM1oI2mVZOMlfE4IKSzIxU9f1saautYALq1S5xSrWZz8BgEcOoUBIgk8+eWVof+T6mMW8xDihpehBVUkW/Z6C+JEbfCyW5v1+GgfTCd7YTMRMy5XnuKFfPibA3O/L9ysXfW0TPEb1b8yXnJDOCn2RW7ueCnjbLxuEYrgZwWPl9IT/mPIeIEgDLAHY0vBYAIIR4ixBivxBi/+Li4vBPmyXooQ0AaKOPmVyJdJy2IerLfIaMbHxxmh0DjmFu5aB8rXsSl60/IXcEWYofxH4g7Sm5CdDahzKJpC6s/FoUVKiPhHpc/hnqgNQJZhT342P80yc39fV0LiIGs8ObM2KwF3xzIgEeLsLT7U3KGe0JUStXrSmJMdVqTj4XUNKIclUAuGrbNBZXegNlXTcxTm4bB/k8nRcY9JU0V032e/Z/LrXqMR+UVJPgpkFJjlpJZS8VG0ryLezynMBqxANUqZIyx2bJ5vtU8pkv1yIGVZaqRAyFqORi5Rg2w4jog0S0l4j27tq1a/gbZQm6QhYaa1OC6RxKOkI7EcV5Eb3MzlmYXZaOYVZ0sf3EvcXtrl+5X37xd/0Bfi/7TXz/8b8Ekj5+I/oQoqe+ZO0ITFWSqnzQ8hUy+3ia6XkMgEle6WoHfg/+6Y8mDA7BEfqq17mymp0Rg4NjMDNS5WfMxKANJZnJbfL8uoihriRGHjE0gZLGyDFcvU1yAEeXxsszHF3uoh0GuGymPfK9ODJqokzqJWl1xNBIrur4fh1RAOAuiVGSypl1nqY4ckSlSWYT1Dq5bM8LvbWnnfvj4vvUPIZyXsvXzMxnlZfgTSPR5quSRgdOgSMArlV+vyY/5jpnQQgRAdgK4FTDa8drWYouOtiKFbSQYCbryweknfjO+ABCkYGIwGOZF62Z5cex3NqFrfEiLnvmdvQoAmZ34dtW78ez6VnAHb+OBAG+9+TfYUs7wCuiO0Af/Tquvvx38D3dTwGfvw8vjVv40WP3Y+azl+FfBJfjpY/vw/b4GH4+nMOWB5/AS448gz9q7cfs7Z/B87q78TutuzB32//Es4Nr8V+ix3HFlz6DVIR4W3QCz37wi8CRWfxScBDf/vRW4Pad+OGlI3IS3n4H9iyt45eiI7j6/i8DT87gjaefwbl+Cuz7PKaSDL8UHcTLDuwE4svwwiPLuCE6gfm79wOdCN9+fAU3RMew5e57gZk2XpC/vjV/fS5OcUN0CN/x2J3A+jYAwGuOH8NLki6w7+7io/7p+EnsOtEB9l1ZHPvZ5BCee3wO2Hd5cexl+f2nvijvz/b6xaN4RdwH9n1Z+wq39hPcED2BF3zr88DKVusr/tnkIF54fB7Y595AXLe8jhuiBey+/y7gyZnK4fKip87ghugktt59fzmbh7RXnFnDDdERhJ+/C9he/b6D2MsOHsPbp9cR3Hn/yPd6xcISbogWgTv2AzW8yquOHcXL0p72nasmAPzn1gG87MltwL6d1us/snJYOpZ9t2vH9yzJ7+cq4/t56VOncUN0CtNfur/oc9kmwg3RAew9uAPILpPH8vHx8oO7gJ4cn885dQ43RM9g5/57gMdkZPVTvSdw7ckZYN8VAIDvP3wKreA0aN/9EBD450+cwg3RaUSf/xoAgR84ehLbsQTs+yoA4N/3D+G6xVlg3xWY78n3fOGjnwdWt+JfnjyK7+nLsXt9/r1fef/dCA50cEN0EK94aiewbzv+zdphhF0B7Psc/tXpZ7DSTYB9X8Srjp3AtekKsO9evPLocTw3WwP2fUV+EN/9H4BZ+/Mcp4lRi3rlC/1jAF4JuajfB+DHiOgh5Zy3AngxEf2cEOJNAH6YiH5UCPEiAH8FyStcBeB2AM8losrtyt69e2n//v3DPfCHX4snFw7jOjqC/77zBiyd6+I/rb8f70/+FX4++gTeFL8TH575Qxy47Adwx5EAb7nqEP7jwqvxkfZv4Z4d/xqvOPUxEAQeza7B9uf8c8w/+WmsZB1cPiNwY/yz+M34vQCAe7Pn47umjgD9FaQIEEJ6mr6Yktr8ZB0ZAnQ7OzHTO1E83pPZFXhWZxVBfA6naAu2b5lFsHoMMYUQnTmILEES99EOMgiUSTaBUKSsQoBARSKNgITHCEAo5M+i9jvk70SyeuMwvwMA79fUpdN3TKC8Dp77+a6vOr+4ruK1JtcPe26djfNeqvk+p2FskGds8r5V38Wg36/r+CjHzPf3jXPe+Zu/q9eb1/peQ8V5rmsC4fic3novsOufYRgTQnyViPbWnkg5ITLKPwD/EtI5HATwjvzYuwG8If//FID/AUku3wvg25Rr35Ff9yiA1zd5v5e//OU0tH3wB+nhd30n0U3zdMsf/jJ9+NffSnTTPL3jl3+R6KZ5+sh//VGim+YpftcOSt+5ldL3XEFL79xNdNM83Xzz+ym+aTvRTfP0if/6anrkUx8kummeDrzr24mO3E//4rf20YH3fj/F79pJP/D2m4m+dRs99Fuvpn//Gx8kOvM03fied9M7b/kSdVdO08+8/V108yfvor+46wl60Y1/S4vHFujv7v4W7bnxVnrqxDL95ae+SHtu/AStdmP6wjcO0nU3fpz2P3ma7jl4kvbceCt96fFFIiJ68U2fopv+4ZtERPQjH7iLfvQDdxER0f1PnaY9N95K+x45TkREP/ahu+mH//jLRETUi1Pac+Ot9Ie3P0ZERDd/6RDtufFWOnOuR0REtz34DO258VZ65OgyERF9+Ivy9aVzfSIiWusltOfGW+n9dx4oPtb/8Bf76TX/7fPaR/363/8C/fRH7tOOveBXPkm/eutD2rG/v/8w7bnxVjp4YkU7/m8//BV6wx99yfoKz/Vi6/3Zsiyj6952K/3up7/l/PqJiB47dpb23HgrffzrR7znsP3qrQ/R8//rJ2vPa2LdOKHr3nYr/d5nHx3L/di+9zdupxtu+dpY7nXrA/K7/9bRs7Xn/vif3kM/9D77+1Htpf/Pp+lX/uc3nK+96nfvpJ//y/3W8QcPL9GeG2+lzzx0TDv+u5+W8yPLMu34t739H+m3PvVI8fvTp87Rnhtvpb+57+ni2F0H5Ly5++DJ4tjL3/MZ+uW/f7D4/Y/2PU57bryVunFCRES/ftvD9Nx33Fa8/juf/hZd97Zbi99fovxtZ871aM+Nt9KHv3iIiIh+6s/upf/1D75ARET3PnGK9tx4K33hsRO0tNanPTfeSh/6wkEiIvo//uQu+pH3yzn74396D70xH+/v+cRD9IJfkePu/7rla/T9v3m78zMc1ADspwZr7DigJBDRbQBuM469U/l/F8CPeK79NQC/No7naGRZgnVIjqGFBDO0hixoYZFkyLk3+BbORdvxoRf/FT62/0n89Q9kuOpzbwUAHOk8G0fF5biWjuIgXY3ZZ/1vuHMB+JuT1+GOq16GUNyJP9v9Djx3egVHHpwDnvd6fHjPVfjWoVPAtmvxOXwPXt3agmhmGz6b7cWLWzsxnxFWMYNgbhfQzrFGEWK5sxvAssQcO1tACDS5qtqpTcU1mZg1VRgqfmnKTa2SGAYeO06OQU0KKs7zlDWIk6woSaJawTE4sOskIxDZNf5VGyTzedR+z+b77prr4MiZ8SmT4jTD0eV1XLN99BwGAJhuy8+tiWS1V0PyA/5+3gBXV3UlMIride38zJ0Jb6rfSkWhwh94KgKbJTHUc1KjP3kYlLXMRM4N+ApTmlnMfMwsoR0GZcl5rYieR8a6WXbRkM9jsyzFeq5KiijGDK0ibm3BMmYBAM/HUzgx82yshNtwKtiBtee+Afdmz0OvvQ2nw51YELsBAAezq5AhwMMze0GB9K9BIHA62oWF2RdpxbC0xBZR9nBOsrL5j5mX4FIlybLb5fn809cBit+D72nVh7dUSYZcNb9vUXbbdCzaZMwsUtmlSoozW4lS6tbrC+6p71/Vw6Eyj6HFctVm5PM4iGe2q7dP45nl8TmGY8tdZARcMybOYrolx3Iz8rlalQTI78HbqMcjV+Xv3BoPHkdi9SgvxBSqFNUeM6mxSXHl95hF9gBT6eeeb2bdIz6mytABB/msOBNXDaXNskvQMSRYp1yVhASz2RriaAvOkpxYoSAcn3p2sRsQQYCf69+Au77vZmQEHAmuAgAcoKty+Zle6poL66lfvFkrSQiRn5tpiiDeWRApFVoDpeczOVRJQu8A5ZXPZWZ9erspUJF1aToVsy79AHkMWm2ZfDdvn+eWq8ae6ptCCLSjwFmDp+jhUCVXLRLcNjdiAKRkdZwRw+EzawAwtoihUCU1yGXoxdWqJEA6hipVUtuhHitKYjjGg7n5AKRk1VXKwlUSw4oYHJLWTJszinMJbcdhLv6uRV6taaZu+Pi5yohfnYP2hnIz7ZJ0DDECJKKFFmLM0jn0ozmczSMGADg+XTqGUAicxjzObHkeUgIeDF+E/pZrcZCukoX1jAzHwlnk32MQCC28VCEgs0R36HAAgdAzJ82BZclhhT5Q1TLAZokAtdwvYOcp2BGFPtGqatvz/VwNf6xWjo6sVCCXM3p2Sm0PRNEfKGJo4BjiFNNjyHpmu2bbNJ5Z6jbKE2hiC7mTufayMUUMA8hV+zUJboD/ewL8clVvHoMnUzoK9A6Art7QLrjSNSfUc1xluQE9MVRtbsX35J9qBVU+ZkYMLjk73y+jMtl2AiVttGUJEgqRihYiijGLc+i3yogBAI53ri92wGU5CjkQvtT+Pjzxb+5GD+18B6DUSgo5YlAbbpS1kswdfZqqdZV0LFLimMh7xsrrU9LzG+T9ldaAqd2ox9XdDeDEOL3kRaG7dsFQgY7tqhFHcX8Hx6DWuzGfnc1XZjnx7BDlNe52oP2awm5Aqa9vUkRvvZ9gujW+aXL19mn00wwnz42nNMbC6TUEYjzJbUCZyNck+1lmPtdDSVVF9JwcQ0Ueg7vjm7v4nbt0hg45hcJ2DEXip4Nj4PsTkdaJzbw2c2zSzLa/gI4oqBtHnsdEMtKYQEkbbVmKmAKkQQstijFH59CPtmAVMhTPIHCsc32RhVhUMM2UpjzqQk1lHZOAayUZnt+5I8gXVnW3Xu7U3eSVWW6D75NVDEatDLA3YtB7KaicBlABE1kFyfThZGaKuurpq7/b0IG/SqqP1OT3qCJFg0CgHTZr7ynbeo4vYrgqL3Q3Ljhp4cw6rtw6XQmdDWLTg0BJNTWpAPk9VXVwcyUiektiVHASscF38XE2c7NDZBfac1ULCD1QEw9rvkYYddF85TI4CHKVxMjIcU2uEhrT19vYLkHHkCBBiFS0ESHGLK2hF84hQ4CsvQVHcAW6wZQjYigjAXWhJuXLjHLYSK2fLjQOwMYW1d266XBc+KVL1cBzQh3IdRyDjGRsrBSwSxm7KqKaxLK3VpIRugMuKMldRC/2QAd8D9fC3iRiAPL2ng3I57UNIJ8B4MiYaiYtnFkv7jkOGyjzOc4wVRNNtcMAsafYYeJr7enhGBKHwIHPV/kud0MfvmcJrZrnqBE7kGfpO5wLowLqMQBaBzgNNXCSzyhec1UuUMtoqBDxZtkl6RjKiCHBFpxDL9oCAKDpHTgg9uS7Cb0NJzfPMXstm+GfCSWFKsegeP4wx9+LRDNhV1d19U+wVQ1QIgYF1nLAQSqBpfZZNusXmRPEDRPphJ+vVlJViQE2L9mYkLOWDiAXflc70CbkMyB5hqaNekZt66kak8SHT4/LMayNjXgGSmK+CZTUTdKi7pTP2lGAniNi4LpBlUX0HFJnF5QUBsLqs8DH1XMAu6Jw6ICbyjmjj+lax2DNdTtiKIQeSnSu9WsxNoO8IR21Zeugdsk5BiocQxsz6TKm0cNaKMsq9N7wfrwv+nfIslLjzN9HRuUuQF2oM1LCwhw2UkvumuofdeFO857PFulLurKJfzIRBbjJ5+qiXvbi7yvS5cqBMCewFTGkbudhRhWA3cPZV39f7hB9EYNw5jE0IZ8BmVNwPlRJW6Za2DnXxpMnz9WfXGP9JMPRs11cO8byGkEgMNVK6quOAAAgAElEQVQKsF6Tx5BmhDilwpH4rBUGzu+JYSIfmQw0hxZbRrnskmMozy36tCtjWn0voJS3qhyDU65KVDYNMhxDCd3qc5TvWxbNLOe81pDHUjKRBjFtll1yjgFpghQhMtHC7u4hAMCpqWcBAMI9342j4VVFddMg0HMIUtJ7MzPvwN8Zk2AqySxESVwDOrbIvRvU5hxAORhMMjjNSvjHRT5rUJWB06rEtLzekOXV7K7MgamS18U9rAXf7ngl768Pu7KInrkQ+Mtny4jBDyX5Ig02GTE0zWMYH8cAANftmMWTp0Z3DEeX10E0Pqkq20w7qoWSin7PNVBSJ3JzDP3U/z2V/JitUnM5fDmXVFWSe9EGHBGDChU5ImUNflUclrlB4/dQFUsqXMT3LecAiuu1Pg0m/GTwjZtll55jyBIkCJCFbWyNZY2ixfY1AOTOQ+TYO1deVDkGCe8oCzWR5uWDImJQdvvC7tEA8E4/c+KKXF1VhYuK91PkrXwfdYHnAdcyVBiZETFESolhVV3B9+Rr5D3qOYbUuAefo8kIHeWQAbXstr0QuKADeQ/3gsPvVyej7ERhLZSUpBn6aTbWiAEA9ozJMTAcNU6OAZDKpDooibu8TQ2ZxxBXQH5CCBkROjYK7o5+Nt8FuKuwpgbHoA5FU+Jt9mtQlX6p4z1UB+WEkkjt5V4iB0WXRQ19gHJNKXndLLtEHUOILGjJXyGw2L4arVDkrTjzhTwzkssUPkFTCSnYPbcGNFtsqgNCJapT0ncJLj6D71G8X34f3kBoUBXZ8jl9119+3YGSQCMzQMuPyLrWCRPpJYhdbTitiMGBywJ+jkHKVQdTJTXmGKKgVq66Fo+vSY9q1+2YwfGzvcad0nz2RO5crt85W3PmYDbdDmtVSfzZ1XEMPlmx2e/Evs6GoHxQkgrhAHb/ED5Hfd8iOzp0LPyGWs+8RxXHwH+qKkBRlY2W3DxQ1YFUOARTcDJJcNtoKxyDLItxhHahS62y4Xcgcj4h08hnojI1XccMyy+ev2QzJCQqB5szYvj/23vzcEmKMv/3E5lVdZbuc06vNM0OAmJ3091AN8oiuAEu2PBTxgUfFBQdZ3SujleG9uoVZNTBkZ/8RnFEkBFmxh1RGbmOCILoqNiNIrKIrCrQNM3p9exVlXH/yIzMyMiIzKyz46nv85znVOUalRkRb7zv9128tAAwI6rzvJL0kHpdfVV1DOraCik1+Qudm7B7X+juqkUcg+kOGx5jcAyWAQt2slFKGZb2dJHPvp18LpMSA5RXUr7GMJm1GHQcFE3kf+wfmtB1Ht02QHfNn5SSnjq6a34JU1KkmRV5JTk0hiKTn+nRBm5Tku5IAXpKjCxvFqesCJL7KGQ0BmNBpI/PeJHjiA1yks9x3JIa2+n8Sp42b0DiydTmGKYSQYBA0pSJxvA4+zDWSFYiypTUlKTyGulmo0Q1TK8MVMdIkc9C2c9VZyX6H65ybPmNYtfYEl5Jul1TD2ILtR/DXTWlMRikV2oQpVdXtkk/qw1kzT7VTOBR1vabup8lEVoe+WydcJRgKPRKKjYlDU9i9TYdBy1WgmFi5qRHtw1y8JJ5k+6xUs6UFGkMRQFuvp9r8mslTsVlShpPEj2b8DAdNswFUWyOsgSaqs+p1X/GEqCV0U3NGVmuLx370NYYphZRvecGHtIPNYZH5fJU7VlVirMeZY60xjGYQW/qZVrIZ9VvlFqckMMi89L1nCo2r6RA0xg8S8cKAiMeQQv8ybirekmAmmkGMnMh2SZ9UxuwawzpyOfYv9zBMdQtx7Ya4DbagimpqILbZNZ71nHgktCL6LFnJ6gxPDvAIUvnT0aTUuiq+YVmttKmpIpdgBe93zBqvpxXUsb7zVLBLa5oaGQMzsunZDpdmGZl1c74Hp6mMeRwh3rbPJ0jlGlLQ3yvtsYwxYgEQxOfwAsT6T0ml4cqqp+szoMgXHnWKp5h3097JTUjzUIYk7TtBZv2dRUMo68S9JwqoSmJ1DnWlBieZhM1CWYtJYUZHKR7MymzWXxe3CmT9hRrDHaOwVpc3eGVZM+rZB8QVYe3S1nyubPqO1M1KAzXw/4y2V5JvZ1VFs+rTUhjGKk3eWLHMIdMMr8AoSAs0hhiU1KRyS5yEpAyO8lDninJywY8NgNrUkWdwAU7f5Fo0Ok0MK6JP/yfLf2p9tu8mhRvqI7R+URIa/yphZ3myZThFSOHk2mWC3NTMCivJIBHguUp26UyJY1FhcoT8w5Zr6QginyOXpoin5uWF6wmIdMElLIrmtpJppOQpOl2xEl4RkfWCWTTnhpo++wqddhmmwrvmZO+pc5ClmOITEkl4hgaBSvKjkkgn4tMSVOlMUDIMzw2gViGP/YPISUcsnTyBUNntTz5XCbttpRY+QLI0whtGoPdfdk0JdnMRBBqFmMZjSFrKnI5XeiCI3YmMdxV1ZjROcJ04GpybHJOVmPwzUXic8mUJIRYJIT4kRDioej/Qssxa4UQvxBC3CeEuEcI8UZt37VCiMeEEHdHf2sn0p5CaBoDEcfwcLB3imNQE/ZYQ2kM4al6RLMZyahHPgeBkfMkesJJ6gu1ivCcHEMcJGeYo1KmJM0PWndJ1TuqIuVUwq+Kb65u7ByCNe+8mcZCGwTq9xXGMVjUd9DrMWgag0OIJOfYUy20Qj4XeiVNEccAcODi7gm5rD66bQCA502BKakM+Ry7q5Ygn4GMdlaUusTOMdjdlyumu6ojJ1dVM22a8QTh52RlD1mOQR8XVnOVJ1KmqkwSvUDnCMNzXNmXbSbs6cRENYaNwK1SysMI6zVvtBwzBLxVSrkSeCXwf4QQC7T9F0gp10Z/d0+wPfkIws7ewKde62XEn88WuSglGMJsh8oDwkeIMPpZpclQybJA90rSzUNB9IKJrwfJhGWuFGxeSUGUOMsWOVlIPpsaQzNRe/VMkakKUYYJKpt3Psh0TN+Y9K3mpohHkTK5Trg93e3UM9XNAfGK0uHAXa3kZ1ct1hjKk89ToTE8b+l8tu4eZfdIfVznPxppGwdNiSmpUuhKGwe4FZDPrmp5RRHqFYvXmas+h++Z6Vnsjgs6F5GYZC25kByJJ3VTkj1yOj3JW+MYMgvERKjZ6qmEVoLnXqGeM4Dros/XAWeaB0gp/yClfCj6/BTwDLB0gvcdH4JwEDbxePTwd3DD6qsAwWgjsV2qCVMvW6jHIvhCxMIiSZgXXj4kn9MRyKYpSR0brnIC68oiFhgmeWVLiSGSyVfKdCRmNRoI8SRbSa9+dI3ApjHonbw4RiGdwlgdo84H90pObWukNIZImFmyb6rfZo+ozXqk2FAm8jkxJU0uxwBwxN5hfq4Hn94zrvMf2TbAst4O5ndMfts6qz4j9SC3ZsToZGkMeaYkC8dgO77qpRcJZsXB5JpJn1ELrLzoaFNDsRfMMjSGWHsnZUkAB/ksknKhLhdXKcmMranGRAXDMinllujz08CyvIOFEMcCNeARbfMnIhPT5UKIjpxz3yWE2CyE2Lxt27bxtTbmGHz8+UvZ3nM4EKUPjsnniGPQeAdVNMNcBSj7X3pbkFti0yzqY1tZhPdKayLgiGPQNA+w5W4JrNkmdY3BxTEkA8ThcaStdAKZten6hu+4LSJVoWqsEJO0Bo6UGL7bP77me4UunB1REr5mzuSnzCmTHccAcMTyXgB+P07B8Oi2QQ5ZMvlmJEg0pJEcwan2FXkldYzTlGQuFEB5JWXfa0Z7dZmSNGeMpoWHUH0ttSCyRU8H0np+ii8IskGjTamT1tnFYGpBaSwSZx35LIS4RQhxr+XvDP04GdoLnKNMCLEc+A/gPCml6iUfAo4A1gOLgAtd50spr5JSrpNSrlu6dJwKhxIM0qer5seTx2gjEQJKguvVqYRIJj89ACWpx5BnHgpvbWYWVSpkugB41Mx4O6lzVHg8pP2g9XS+ZvrseiDje5s+2U6NwaJS52kMttWX/j0jGGx1e40V4lghOekmn4v4BUgmtDzPJJVIbipMSfv0ddLTWeHBp3e3fG4QSB7auofDlk2tYMjzTFIaQ5nSnpCtr13OlGThGBzuqil+yph8Faq+Fwsbm/Zq8oHZbAFZjiF1fkYLNzX0bK6ztIejNuYNjmG6TUmFeqiU8hWufUKIrUKI5VLKLdHE/4zjuF7gJuDDUspfatdW2saoEOLLwAdban2riDiGJj5dVT9+KSP1JovmhV5K6uXqE4zuQRSHrEepM3Q1TwkGnR9QL7TezHYI5fZm7SS6KcmSEsMs9GELuFFZJ20rdd2bqREEdFeSrqDbRMP9WfLZ97yMT7hvrOZMAWNLbqZgFltpFJiEqr6X0eLAvao00aFNWC6NYGisScUTk1YER4cQgiP27uH3W1rXGB7vH2RwrMmqffomvV2QCM08z6SycQzK9GNyDKMFpqSa76V4DillTqEeM6FjyImZWmPFF4kpyTJekuyqiqAOMhO/Ojc26bo0BpnWGDzPXcENssny0jzmcy+J3o3A26LPbwO+Zx4ghKgB3wH+XUp5vbFvefRfEPIT906wPfnQ3FU7q368mh+pZyOfx5oGxxCk3UFVlKOu5sXuqjJLKKvVjxngpnsiZLKrWogondMA5dVApsOp8xpBYCVyVU4oIJX0T13TE25/7vDa6UAg9ft1mLWc801J6WC4JOGeY+KoZIPioLzG4CJFdUx2kR4Tz9+7hwef3pPx8S/CfU+FWsaKfXqnolmlNIaRRhO/hNBU7qwZ8rkgDiLjaRR9tqVIsR1rTbanLWZyE+0F2nUsFdx0JxDTdJvSGPSxqJmeIZ0SI7xXkNpu8orPNa+kS4FThBAPAa+IviOEWCeE+FJ0zBuAk4BzLW6pXxFC/A74HbAE+PgE25MPzV01FAzKlNRMCYF6MySFE0+liGiW+io+2aa/zCCKWs6kxMh4JXkZjiLTGbR7gT0K0hd2/2hQCcw0tdcYBHqAW16RHXt1tnShH/WbzGNUu8GdK0m1TR/cYw23EFG/DcgQ0K58OibUhJTnsjo8ybUYTByxdy97RhstV3O776ndVH3B4ct6pqRdZaq4jdaDQjMSJBpB6xyDYR6K3ZdLxDG4srBqnmymEwdkI/5NE6qvjU9bgJzSws0U++pzSrN3xTlZsiAEkklPe1KECbk0SCn7gZdbtm8Gzo8+/yfwn47zXzaR+7cMTWPoqiWCIdQYktW58tGuaZ5KpuRWE6eZ0qIRBNZc7KqTm25qVre2IB3UkvWCsnQ4i5eEqrJmcxP1tMFk1mrQf5/abxMcah4vzIGkaR5hO+yrOXuK7gKNwTRR5NSJ1qGSv+VqDJNc79mE7pm0XwvFdu57aheH7dVTSgCOB+o3D426XVbLVG8D/Tm3xjGYGmReCo1sNUF7Vt4wmtrNd9k4MTOyWW2vWBY5FXMsGtp7ypRkWAPU80gWmclvCQyz1HRgjkU+JxxDpxa8NlJvpiKflcdF2ispiWMAbXVgcAyBNHKeRPcwNYaUV5LFEyEIks6h2mAS23rbXDbPuuaVVLWcp+6XmfgNIs0W4NYI0qsvm+cSJJqCzTsqvp5vuqsWk8/6NePzGnaXRhOxKSmnitvwWGNKgtsUDo8EQyueSVJK7n9qNyunyIwEJU1J9aCwFgOU0BicuZLSUfNx4KLNlOSJVPoMVyBcTUvlbecYEi4PshyDmb8o3EbqfCf/4DAlqeurYM2sh2J6jpguzDHBkLirdtUS8nnUiHweNTQGEXsUJDbBuG6DJadRvRlkgtOSMP3w2IqXneh1VdU0GeleUNkw/KyKCkkBk8SU5GXOAzL3Uvv1ADerqamZnK9+k44sx5BnDkinTs4TIuFvc0w4LZqS8mIZJrusp4neziqHLJnHb/60o/Q5T+8eoX9wjFX7Tg3xDIlgGMwJchttBIXpMCCJc7BxDJ6w9wWwxCbklgL1otT2di+7+Dg/u5ixcQyqFnsgDYcNY7JW9473e+nJ3xy/qmSvfi0lIJTGUDHmgtgq8RzjGJ5biDkGj86Kn7Lb6ZHPyrbaEQuLpN5yngdSLBgaSaSwuoea6GKNI5q0zWpvgEZqGyt8SyeJO5wRag9qspVJp8tkgsxxR/U9axRnsj+dh0n//fo91PngJqkh4UMUilJb5HIMJTSGTgcpqmO4PrXkM8AxBy7krj/uKE1A3/dkSDxPrcYQmpKKvJLKcQx2t+AiAW66I9cb2cWNgurXdc3JwWVyqjeTxQ5kJ2/IJ5eBVDYBW4CbrZ/7IkmzH94r2Q5Z5xQzmK6tMUwlmmHks/AqcbU2hSSOISEk9dgGU3LXouyeKa8iTfqbJFI8eWocQ1ioJxEicRyDTJPS6trNILu697W2hcelbZ6NZhDbamumxiCTid1ckXhCpGyteeS0bfUV3t8IcMs1JRnFVgo0hlpsSsquREtxDCU0hqkmnwHWH7SIHUN1HtlWLm/Sb/68A98TvGD51JuSBosEQwmNIYljsHiP5bynjGkxJ9tuNsI+m8IFQjOUST47s6daHCp0jd4MNFXH2lLjq+N0YtrUGDLOKZqLuu7gMl2YW4Ih4hj8SphAT++XuleSVTAYkrsrykAZWFb8Y40gkwDPlispJJ+zHkwm96Cuo1TRTIfTTUm6xuCncyWl7KUiXYTcGsCmkdOZzKmG4AjvneUh1PXTxznsxOPiGMbprqpMHDkcQ2hKmjryGeCYg8K8k5sf317q+F880s+a/fqYNwWpMBQSjSHflFSGY0gin9NCJgwqdQuWjMaQU4ApMeFqCxmrAMm6q7oi/m31ySup/TatgNihxLx2mB7fQj6bGoPVlJQe89OBOSYYwo7uV8JgNpcpSXFesbDwwtKeukmls+oz0gg9kNRlbBqDuSJI1YeOVhc2u2IzkKn2KZOR7vGkrtfUOmqqGE+0Cre5+umRy6b3hWqLHgBnrtTCADf36gvIJuOLyDyb610YlVrOCwVy4hgcQVAmFPmcl/ZhaKyc581EcMiSeSyaV2PzH4t5hoHRBr99YhfHPW/xlLapVvGoeKIg8rncs4lzJVkEeJ4pyqzloUxJtnertuV50UGYK8zUGEztW+2zT+7JKt6eEsMziGlDs5fuyGflnq3aoIZIwjdmfs6UYk4KhkoU5ZtKOFdJv6hwW+KVZAaddVV9RsaaqdgGfeVi5jkyI59VPQM9c6nuliplevWfKgKU0hhUqgyLu6qXJp/1yV2vpxDIYlNRJr1ARWiuf9lBou4PpASIK1AnG6Tkdm0Nf4taiaZt82ONcrbv2JRU4JU01aYkIUTMMxRh02PbaQaS45+3ZErbBMXFekZKxjG4nnMRx1DR0leAlhjPkSsJkn5mW+hARGjnFOrRF2Y254dU2m3r+UZMkemuajkva0pKtyVQC9K2xjCFUBpDNUp/YTEl6c+/ltIi0smsOqsew/VmKiWu3rGSOIbwv/niK1FHCaTdrc3mlWQG1MXbA5fN1ItMSUH8Pb6Pl6xebDZZM8DNFBwdURI7Rcqb99afh56Mz1nK0QhoKkqfXaukB5RCeI/iQdThsH0rSCmjOIapFQwA6w9ayGPPDvL0rpHc437xaD813+OYAzNlTyYdRam3R0vGMVT80C08qzE0czmGWpS+QpHy9Rz31rieR7yQsadF0XmLIO6zyfVU+nddY0h58mkasItjSGdeRdtnuLJqloPweaQtCjE3GaSdVqYLc1IwVKshx2CmqDa3mQFugRazoOriBpIM+QwauRSTz8aLjzyGwtVA0kTllmoGsukkc4Z8ltkOF/4mlRIjqzHkpd1Wv0XdL9Re0l1FPS/d3prRKgwVv2mUF00fa6bEyLbZdm2bf3w5jkF5JdlXxaONACmnJrOqiZcdESYlvvn+p3OP+/kjz3LUAQum3LwF0N3hF5DPQWHKbYWapVpe0XuqGH0nScOePcdM7W2L1Ic0b+Hqs4o7s2nBuruqlWOINYbsWIxT9xv3Vf1YeUKamoSZfHO6MMcEQ/jwlWAQFiGgv4AOzVNJrTTUC+ushlWuUvUYLPbIOOTdMCXFgS3NADMLo4qPsHsl2clnmynJ90RaY0h5JXm5GoHiIFwqvG7jt/l0622JNQbLfeL7mQFNBRqDk3wuGcfQWWBKimsxTMMkfOhe8zl82XxuumeL85gtu4a576ndnHjo1JuRIKriVpArqahIj0JHJVtfu9iUZGqb9uh6yLrENprSWuBJT+0eR+FbFkSBQwvW+7ONg6gojsFhpkpVcIvGsJpjTMHgSqUzXZhjgkFxDEkmVYWqzZSkeSXFL0jzSgo1hmxKC/2zHvSmrqVvH20EFpUza1dU2RnNJHqmR4ZuZkoK9bhXN2DXGJS7qstMpK/YXXEMiVdSklPJVV8hW2wl3101vr8hGEbqTTpLTFgV38P3hNOUNBilg+ieQu8fHa9atZxfPb6dbXtGrftv+PWTSAlnrN13WtrTXavEz8CG0ZY1BiMlRoG7qprYVZ/I81LLagx2d9Wq5q7q0hhU3qV4zBgu3mD3LlKf3fyDPY9SLBgiIZx1fc9qH9OBOSkYahHHoPcJZbJImZI089KekfBc5SbYqbmrCpspydAYsqakxLaon6fIZzOQLS8lBpARXJDEMdgGlTJZAZnSnkCU/TVwDiDd28QVx2AKrbpjwKpz04nQQjuxy7aaxDGkyefRRlDa1JJX91lpDFNRIc2GVx+5HCnhh/dlzUlSSr591xO88OBFHLC4fE6liSCv7rOUsnSuJAifc+umJDVu0qYk2zlJsGNUujdwuKtqhLarmE+YeyywawxaAKpz8ndo73EKHMMSUHNoDDEprZLrtb2SphCKY6hZTEkqytlhXto+NAZAX1d4blfVZ0i9TItgMOMYksIzWdIpo3JGBJbeZ73U9ux9bKq2HxfqyU7cMfnt4BC8yL3ONYD0HDhurySTY3ATw2aAW5jvJoectLirKrNWGW8ZiASDg2MYnMIiPTYcvmw+h+41n6/c+adMSc1f/2knjz47yFnH7DctbQGYV6s4vZJCUri4SI+CjWMYLckxKFNmOY0h6Wf2tNuhV5J0ZEcF4qzDrshoITAER1qjcKWnSUxU6e3KHDdkagyOiOjpwtwUDFUV4JY1JelzkR4NvWMwFAwLuiPBUPNRWQxsHIMpLJTGochMW8wDJCUrA5ldcSRxDFnNJPZq0H9TZPO0DaqEZMt6UEASma0Gpm8ckEzMbnOTaSc2S4jqCE1JGsfQtK/64uP99MCB8sVjFLprFYbHHBzDaHitqQwk0yGE4O9edigPbNnNf93zVLxdSsm/3vYw3TWfVx+5fFraAmE/dWVXVZN8eY2hdY6hFr9fGR8PdtNih6a9qnOs7qq+F8cjKQ9DUyONzUGOBVHW2SO9r6EJDVcSPb1pKtBSPetEYwj32+KTpgNzUjDYTEk6n6CQCAvBzuEwnYYSDPqgMN1V9W2q48WmqCiq1Ja1ETRvJ4dXki0lBthJKlUMyOaVlPWfNjQGY/WTyzG4vJKUnViz/TrdVTMBbgU2aEstYTVhdZS0fXfVfIbr9slvYHR6NQaA167ehxXLe7ns5gdjm/N3fvMkt/7+GT5wyuHTJqQgimNwmJKUAC6TEgOi9DEWU1JHzvs106o3ckxJJvnsdldNPOlC82n2WonDRpZjiPdrJl2R0Qq0IDaTI7Rwh6qPK1NSHOyqZVFQ155OTEgwCCEWCSF+JIR4KPpvdbAWQjS1Ij03atsPFkLcKYR4WAjxjaja25RBNiPB0NEBFLurdmjCQmkHypSkE2+m+qd/Vi80nmg6lMaQnK9Pul2Rt5M1u6oluV6SnTG7slDXHYk7XVpjgKTjubySXCunMl5JZtRrnsag6lMrNAo0hpqFfI41hpLeMnlBXMqHf7o4Bgjf5f/z6hfw5+3DnPH5n3HZDx/kou/dx7oDF3LeCQdPWzsgimMYdbjylqz3rNDhO8jnnPPNCnstkc+OfqYnXnQFWyqSOC82RwWq2Vy89bbayOemwR2qRUxMPhuLTDNVxnRhohrDRuBWKeVhwK3RdxuGpZRro78N2vZPAZdLKQ8FdgDvmGB7ctGMkujVapHGkCKB0pwA2HmHvq7wXD1PvxmtmNoWnTsw0qDiifiaLo0hdIMNMgJABaRlkutFH+uWCV6tdtSEmYpjMLKTuuIYXMSyutZojsaQRL2G968H9gIqoMoupjWGvNQWsbuqFvncqsbQWXULBuXDP9W5kkyceNgSrnv7sWwfHOPztz/M2gMWcPkb1077irG75jOmOS7oUJN8aVNS1aIxFJiSzCSHiWDIPodkAaKRz1bBEGkMUVVDe+1xtSByjAuhFmj2VPRhm7OTuaeZkvTzlAAcNvjKeMEXB75lmjqlmGivPwN4SfT5OuB24MIyJ0Z1nl8GnK2dfzHwhQm2yYlGvU4F6KjZvJISsxGEHSQxByXH6eSzgi3ATamY6tyB0TC9gjBePKQFT2fVC1Nt2ALZ4oC4LMdgNSVpGkNG7S1QVbOudy6OIXD6hJsag20wxW31RVLT2gu1hzzB4HthXWobx1DWv7675tM/MGbdp2y+8zqmz5SkcPLhS/nJBS9laKzJ0p6Oab8/pIv19HWl34OqcFgmiR6EC6ztLWZXzWoMyhxarDE0HQuQxNMpympsETJJqhp7gKUfeeuBl0lTYfJ9ZgyECoyzxUrF5LOX3m4KjOnCRDWGZVJKFZXzNLDMcVynEGKzEOKXQogzo22LgZ1SSmXkfQJwOmkLId4VXWPztm3bxtXYRj3UGDoV+ZxjStJXM+pFdtf8eHtnLV8wxLEN0f/dI/WUjdgWOANRfETDbkoKyec0QW4W+rCZkobrzcLVjdWfO9DTaRiTfok4BjNPTt2xSgNNA1C5bJp2O7F5TlowKFK0XLcOTUl2jmFwtIEQ5c1Sk415HZUZEwqQX5OhVY7BqjEUmZKqZt9xm5ISE1ESDJenMYw1A6dWobz1mo4FUUI+ZwWLK71FfF6QzWgQcwxjaTXksYkAACAASURBVAFQi+JslAl6uk1JhRqDEOIWYG/Lrg/rX6SUUgghLccBHCilfFIIcQjwYyHE74BdrTRUSnkVcBXAunXrXPfJRaNRpy79eFLPi3y2CQalLUB6wlDvLC8lxsBog720gW4TIhARojtUfETSdt2roZrDFaTJZ7XqyJpl8lY3qt15HIMeeeysx2DkyWkG0jlpJwn3JB2VYndVSGpiKCizQ1mNoatacUb3Do416a760z4gZwuUpmQTnLFXUgsag+6uqmz0rZqSPGEnYTsy5LOdn6r6SR8zTbUKKlWNK9JaBaBKYU88GbbVEsfg2eOQPE9Q9UUmjkEIQXfNZyByWplujaFQMEgpX+HaJ4TYKoRYLqXcIoRYDjzjuMaT0f9HhRC3A0cB3wYWCCEqkdawH/DkOH5DaTQadZp4sRnIxieo56+ruUqA6IJBz6Fjagegk0jhdylxawwpU1KSaiNdj6EojiHbGdVAGB5rOoPPXByD8mhyTfq6KSmvzkJHxY8nhUYzoOIgcyua/Vf9niKNoWZoDKPj0RicAW6NafUCmm1QY8TGwbTqFmy6q6o+1wr5PNYMnPyUaUpyLSr0xYxLY1AZAfKCNpthgYSMYEnGVDO+VrzPMX7Vb1UCWF+IdNf82JvxOeWVBNwIvC36/Dbge+YBQoiFQoiO6PMS4ATgfhmmTbwNOCvv/MlEs1GnQaIxWOMYbKak6LCUYNAGhTXyWaT3Qdr10SZE1HVHrF5JobubqYqqzq1WVmlNJCGfzYHiGZqGOQBU0i8Xx6Ce12gjqRBnG4y6q2IjJ8AtyZCZDO6iugpV3zPI51bjGHLI59HmnBYM6rfbBUNrJL+ZEkNN9vkcQ1pjaDSl83gbx2CbSCtxmo0oHsiawttzFuIBpUnbaz5kYopsOc0sbQsj8LOZC+bVKuyJTEnTrDBMWDBcCpwihHgIeEX0HSHEOiHEl6JjXgBsFkL8llAQXCqlvD/adyHwASHEw4ScwzUTbE8ums16XO85ame8T01Muo1PQb1gFcMApldS+lzXNt3DxUYSq+sOjTWRtmR5MhvHYK7sfMtvGq43LYV23J1YtSkvjqGjkgyykYZ7pd6hTQq57qpeWmMocleFqCaEhWMo60bZVQtXsuo36hgcnfpaDLMZSiMetJqSWnMLNuMY1Oe892TjGFyLCt8L02UXpcTQgyJDjcFCUBdwDCpVTNMiWGKzbp4pSWZX/7WKF2sM+r7uDp+B0Xpm+3RgQksiKWU/8HLL9s3A+dHnnwNHOs5/FDh2Im1oBUGkMahOnzIlaVHO+ndIVvQpjqGmC47wv92UVKwxmBxDPMnr14u9ktKTuPote0bq0X2T31TRNAYXx6AGeTYzqpfrtqcHuCV+7dmJoqOa2JcbgdscUNEGLYSmg55qfves+h6jE4p8TlwFzXiFwbFGHIw4FzEvl3xuNfI5zQWNx5RUpEGqjAFQwl01yIljECpVvYNjiFLFSLLFc+IxVbdo7wItnb75Wz22R5kV9LHdXa3w5I7h+L7TiYlqDM8pBI06Tfx4lW0zJQmLKUkdtqA7ib/rLHBXNUv0AamJRp+I9c7QadFE1GdbaU+lhey22CLV5+G6hWPIiZgOv6crVZmrNZ1jGGmEGoltoOnEo2vA6tdP6kgXm5JqvhfHb4AWx1BaY1DmkuyqeGisOSOuqrMFSmjaMqwmbsHlTUnKfAOJxtAa+ZzvvhxmTpVx4SirNqCl2Wg4XKeL4nfKBLgpXiBtIfCSyOeM9u1bvQO7OxKO4bkW4PacQtBsUNcEgy3yOfZKsqTbdXEMNsFg1Rg67JO+3vlsAge0OAbDlKQG8IBFMKjJdmSsmclPb7qrZu2lZm55k2NITFF5qa47Kn6sUTRy0m4npqTk2NbdVVvTGNQ7tK2KB0cb05ZyezaiS9OmTIwnVxIkmkIsGHz3+VlX53z35Vo0ubq4gfB+aU86Kw/hu1Nnq++NILCmkM8KhnQQrBq/ptk27QGZbO+u+e1cSdOBoFmnKb3YFq6etbJRgt2UZPNKqvpektfEIgRMd1UwNAY9b5FuGkoJhqTtykZpks/dhikplXZbRT43spXTTI4hYy81NIa84LWReuD0adddSl2rNNDtv0nSNJfZSb+2nnivVY1BD+IyMTjaZN4c5hhUXx20pMUYGotiPFognyGZ5MtoDGa9jCJTUkfEY8QLmbxcSU37ih90N227Q4Uin80FGiRjSvECumBQixgX+axfXyGtcbh++dRgjgmGhtUryZZcLu2VFG7TyWdIJvFYwFjI59SLdmgMaY4hq6mE1yF2d9O3K+8Rm1tbHOA21rQmAwMtwC1DPqvSow6OwdM4hkbTORl3VLzY5uryL1f3A+KAurAKV5HGIDK5kiqeKBQoCl15gmGsMe3pMGYTOqseQsCwxcwWCs1K6TrE8eo/IocVSVxUaU93XBhr5JuS1AIkNn06iOXw/jkag5eOfM7G5mjks+ninWNKmt8ZehjZap/YYqbC8+3Wg+nAnBIMstlIcQyxa6rFAym9LfyvawyQRH7mxzHYNQZbwj2wm6jUdQKZzc6YkM9ZW6Qe+WxOshl3Vcv+ILBXf1P3URWx8qp56RpDXuRzxdAYSrurGl5JrdRD7naYkqSUc55jEELQ7cglNTjaaOnZmBpDGXdVSBf4aTgypsb38D3GGs3cGsmqHSrArRTHYHNXlfa60nowa63ipfb3dFQYawQMjzUzfEGHUzDYvRinA3NLMAQNmnhazEK43UY027ySFnSlk7+q1X0e+ay/zzJeSS7yWU3UZmU3Nbmp0HlbEr3ws8OUlBPglirtaU1FEE7MI3V3Na80x+A2DyUJzjQhUoZ8NiKfy5o3IBl4Jvk8Gpkk5nIcA4Tk/KBFMAy0GPxn1ksoY0oKz/MNjqFAY9A5BpspKerjjagyodUrySvmGIJIk3bVH9k9knV1Vl5vu4brGe1c9+ZzejG2NYapg2w2CETSodWEXi3UGLIcA5DRPNKTfXSuxewD6Y5ri0swz1XePYHM8gi1ipfkVLEEv5m/Ud/nCnBTcRN5ZF41chEcbQS5pqSEY8jRGOJBm2gMtRLks+4fP1IPSqfDADfBqjxx5rK7KoRpMeympNZceU0iuUwcA6QD4+oFpiRlVkxSuNgXMur+Ls+lWDA07SapmHw2FmjhvvDYgZF6vGBT6OkM545dw/XMeTazNaQFQ1mz3WRhTgkGggZSZE01VsFgeVl9Do5BvWdzha//h3Qajby02+Z9ARbPr/HswGjo1WB0LJcmYpby1JFN62t08jhuIl81H2vKAo1BC3DL4xg0jxHI1y4UqhnyuVk6Ghfc5PNQnHJ77pqSIOzfNo1hvKakWGMoEccAaVNSPcg6UJj3qDfcSR9Bj2Nwk8+qtGczCBAi6ybqCxG7ndpiHCA063aZGkNnnsaQtU5AeiHZNiVNIb60zz/yf3V+PP6eCIY0yQumKSkkmHsM9TnDMRREPs8z/JoVUpHPhoubwl49nYw2AnYN1TMeCi7uopoyJRkrnzhK0+59oVZOLo4BkqCivMLwSsVX/uW2kothWyONQXEMBWm31TkT0RjiADdj8lPRvnPdlDSvo2KN8RgYzQYE5iEOVqsrIrkkx6AFRxZV9KtVfEZzEjrq21SqeKtXkpdUcLNmX/WF0xSlu6uajgs9WoqRjFdStVhjaHslTSEGmj5erTv+ruaomsXGp3fCjorP4nm1zOohY0qyeDfpi4Nul8bgIJ919XGv3jAz61gzyKzudWGSqvNgmKJ0qH0jlihN/Xtiasp2ldBdNHJXzfNKisxN4HZxNL2SivzWw2v5Rg6e1jiGQlPSHBcM8zsqDFjcVUONofyzyWgMrXAMJU1JapFiSyapkCTRk870LHGhHoepSRXSsrmd6gGlprapTEmQ1UL0eI50Er2s2Xu6MKd6/nC9mZ5EYz4heei2yOe/PvkQXrtmn8z1YsFg0xgsvIM+mFwTuMuUtFdPZ6bd8XWj35RJja1rJcYk26Optrb9GXdW60ATsbtqnsYwWg8K7faqgp4ifqW024l1zDOS4I3Wg5bqJ9SitODmqlj57s/lOAaA3q4qf94+lNneaubZmHxujMOUpJPPBZHSY42ms8ws6FppkOOV5IXcmsODrrezyu7h3SzorjqT6EHWDKlMSQDmeielMcwSd9U5JRg2vuqIuKOBnWOINQatEy7v62J5X1fmembOJZunUdqUZNcY3KakrMZgbk+1w+ElEd4jPVB6oxWMytFSqDE4OAalMbhW6h2VsERkkd1erY5G6s14lVg0cXTXKgxF1e48TzDSaLJoXvmy4WHO+4qFY8j6oc9F9HRW2B0FTuoYGG20ZEqK3VUbrWoMXuyGXQ+C3LgW5RYd5ziyJtFLeCyXl1OSdtte4U09k57OinPMQLbv9HS6+YJUloUS2ZinA3Oq5x+xd2/qu5or0+Rz+L+o00JiFrFpB0ropExJDjIpRT47iChXkR9IVuGZIDWtY5tmGeVhtWNozH5urDHYTU3hNb0o8rnptO3XKmFqDTXBuCZbPdJWrdjnFxCcigAdrocpslvVGCAqjGRyDEpjmMNxDKBWx2ltqhEtBFrxStKr/UErcQytm5Jc8Qf6tnpTMuBIq17xwvxbdYcpqberysBow1rzwbXAA1KCNFOPoaqP+WT7TJqS5hTHYCLWGCzpL4o6LSRmn7geg4V8FkLEwkbnD1yFeiq+F99b3z6/oxKvIFwcQzYS021KUqrt9oF8jcGVSwmSwTjaCJzeQMqMsHMoEgyOyTaJQm7EK/Yic4UaOIosHmnRKym8RjaIa7CtMQDQ21WJBb+C8lJqRWgqJ40kinl85HO14p4cwxTsesRy9tpCCCpeGJQ5MFpPreIVejsrDIw1qDfs6Vt6OytICbuGGxkN3ZaqJv4tFS9J7W+SzxW7+bitMcwQbLUX1LYy+XbMLK2eJxAirNam90tPCDqMSMi0xpC+bkc1XInr1xBCsFdPB4/3D2U8FLpdgiHHlOR7gp7OCtsjjcHNMbg1hlrFo9locMHxC1m9rM4DDzyQOebovgZXb1hO1+DTXL1hOQvHtvHAA/2Z4wC+dMZy5ncMs2vL41y9YTmL/Z088MAe67EAL+gKr731j4/Q73tc9OIFdFY9aztc+NhJC6h4InXOEZ11rt6wnG1/foRnp3mlNpuwfkH4fB/+w4Px+28GMnyP3YOlnnNnZyddC/YC0hxD1ReFGUMzHEOuxuBH9cfdCxkItdzhepORemA1h/V2VZESdg7XrX1emWB3Do05A9wgqzEIIejprLJ9cCxrSiqVEsP6c6YMc1owJDEL2Um6yFUSsnEMEAqWhqX8prnCSuc0St+rqxqm2zU1g716OkPBYGxXK1tXPqPw99g7+ZM7h63nJrUcwpWTLcCm5nu8/KAOnr/fXuy3fCnLerM8TP/AKE/uHGbfBV1Udg5z2F7z43TXJoKndrGgu8aCripsG+DgJfNS3hwmdg3X+WP/IIdG11Tn77sg2w4Xqs8M4Ak4ZOn8eNvTu0Z4Zs8IL9i3b9oDi2YTdg6N8aftQxy6rCfWjkfqTYKtezhgUXcqDb0NUkr6+/vZsf1pIM0xlNHIU6akgrTbyi06z70awslbaa8uwQAh92bjKXq7wnPy3FXB7mQxv6NiFQxqESpE2hPR5awyHZiQKUkIsUgI8SMhxEPR/4WWY14qhLhb+xsRQpwZ7btWCPGYtm/tRNrTcvutHEOWfHahs5olfW05knwhMisIW5S0QpfDZLQ0IqBdAW6uGrRgV631SG5TOKl9/QOjTjW26nss6/aodPfgC/vzUm0qkz7YV2k/ZLlUw6pZqgBbWPUu9xTrNcwCboEM81HNZaEAST8LtAcUlHiPCkIIFi9eTH001EpTgqHE+EoFuBWm3Q61bMVluRYUNd+LebX5FlOS3u9twkW/bqZQT44pKTzXzgUqwWDbHju2PMc4ho3ArVLKw4Bbo+8pSClvk1KulVKuBV4GDAE3a4dcoPZLKe+eYHtagnrY4xYMlglZdaaUxiCyKwhXoR7ImqgUlkUuq2YnUSsLc+7XB5LNo0MXDOY1lXfPM3vsAwSSZySEcNakVdubJSYUTyTFiKDYrqqu1ZRhgZZASgStDSB1Tx1mPqq5Cl97vgrqc9nno/eNlgVDxDHIKDVLUdptSLzsbPwBhBrDjkhjMANWITEV9Q+O2clnXTA4zK+QNSVBoqG4kuiZ25XXnHnt6cBEBcMZwHXR5+uAMwuOPwv4gZQy6xw9A7AJAVuuJBfiCdwSv2CakswVhP6ezQ5o00QgcVl1BdqZk7sQSZ0J26BSajFkO/ni+aFg2Lo7X2NQi0nXhK9W3bFgyHmsnhdlkI2v6T4WksESBBI1dbWsMXhZwWArpjIXofMKCupjQexhBnrpzbFmWY3BpxnIuJRokVcSQH/kTNHr0BgqnseOwWKNYc9Iw84xaGOmlTgGyNMY7HFI+nWeU6YkYJmUckv0+WlgWcHxbwK+Zmz7hBDiHiHE5UKIDttJAEKIdwkhNgshNm/btm0CTdavGf5PV2uLtrVAPuvv2bd4HnhCZDxslIcEZCdL10SvXFYz7qoRf2Hzu1bHFpuS7BpD/+Coc0Dq3IxrHlWXLWNK8gTjNiWpc1o1/9hMSa5c/XMNVsEwzopiekK88hxDeMyeqPBNnilJ7esfHAXsk75qhzIl2bze9HxotvulIpgdLt4AXZZ65epcl8ZgMxd117I85nSg8O0IIW4RQtxr+TtDP05KKQHpuAxCiOXAkcAPtc0fAo4A1gOLgAtd50spr5JSrpNSrlu6dGlRs0vBVqjHFvnswvHPW8y5xx/E4ct6kmvGMQ3p+9hWELY6DqAHrKWPX9ZrNyV1OeIYIDEhuchnsy0KC7trmoeVw5RkMcGZUKadZiAjs0J5U1KxYAj3X/mvV7Bq5Uo+9HfvHAfHIJCGZMjLAluE7373u9x///25x1x77bU89dRT47p+K3j88cf56le/Ou7zbaakoEVTkkJ3zWcoig8ZbQSpNDQuqAlTla3NJ5/D6/UPjDG/Ixt8plDxRBw0ZzMlpcyrVo7BrTF4BRrDfIfJt+YwJYXXcY/tqUShV5KU8hWufUKIrUKI5VLKLdHE/0zOpd4AfEdKGYdSatrGqBDiy8AHS7Z7UpCXXbWMu+rCeTUu3rAytS12XS3gGPRjzQ5mBs4pKI3B7CPdDtMTKE2haZ3o8jgG3xMs6KqyY6ie6/qn4An42H/dx/1P7U4dE0jJ8FgzEggyNzZApcOo+IJ6I2BeR4UV+/Ry0WtXWo9Xz/jLV3+RH958MwOVYi+iRqNBpaIHDoVtlFKmzF5+dfyC4fTTT2fFihXOY6699lpWrVrFPvtk06yUbXcZKMFw9tlnt3SegvKS0clnJSRanaj6uqpx+pV6WVNS1K9VwGGRVxLAswOjTn7BvIZNq5hX8+MEkq7U3V1Vn+F6M6OhVwoEQ5EpySaInqumpBuBt0Wf3wZ8L+fYN2OYkSJhgghH5JnAvRNsT0vwRNhhl8xPLFgHL5nH8r5O9l/YnXOmGzYt4KTDl/LCQxY5jzVXxp0O8nmfBV30dlbYx3DHVEFjtsGqOqvVlBSpzULYO97i6LnYTFRgr4vthoSyxLB0m6Z0CAEf/9AH+OPjj7Hh9NO57otXcM6bzmL16tW86EUv4p577gHg4osv5pxzzuGEE07gnHPOYdu2bbz+9a9n/fr1vOqlJ/LrTb9EShgYGOC8885jw0uP47QXv5Bvf/vbAPzN3/wN69atY+XKlVx00UXx/Tdu3MiKFStYvXo1H/zgB/n5z3/OjTfeyAUXXMDatWt55JFHMm2+/vrr2bx5M295y1tYu3Ytw8PDXHLJJaxfv55Vq1bxrne9CxlNvi95yUt4//vfz7p16/iXf/kXNm3axOrVq1m7di0XXHABq1atAqDZbHLBBRewfv16Vq9ezRe/+MW4fT/96U9Zu3Ytl19+eblnn3q+Ik6/rhAE4VtsdQGrC4axRkDHJJuSVF/sHxwrEAzJNWzuqkIIeqPzXWm+Fc+QrzFY3FU77eRzrDHYTEkds1RjKMClwDeFEO8A/kioFSCEWAe8W0p5fvT9IGB/4CfG+V8RQiwl7Gt3A++eYHtaghCCH33gpFRltkP3ms8vPvTycV/TVofhM2+we+FWLEIEdO7C5BIqbPrIKzL22TzPBdW580xJLo1A8Qy2+rnhNdMag21lP1Jv8oetYZBaZ8Xn8L17MscoPLVzmO2DY/RFaQdesLzXeSyEz+eiT13OL35yKz+4+Uf8w4c/ypo1a7npv27kxz/+MW9961u5++7Q0e3+++/nZz/7GV1dXZx99tn8/d//PSeeeCJ33/8QrzvjdN6y4QH+8R//kd7eXr59y/+wd28n1WYY4/GJT3yCRYsW0Ww2efnLX84999zDvvvuy3e+8x1+//vfI4Rg586dLFiwgA0bNnD66adz1llnWdt81llnccUVV3DZZZexbt06AN773vfy0Y9+FIBzzjmH73//+7z2ta8FYGxsjM2bNwOwatUqrr76ao477jg2bkwcAK+55hr6+vrYtGkTo6OjnHDCCZx66qlceumlXHbZZXz/+9/PfY55CHMHJd+DiJhvlcvp66qyZddI+JuaQSoLgAtqJV3KlOQnGsOhWkyKCX2B5Err0Rdpyi5zVG9nNXTKyOEYrBqDY5KPOQbLz5vncEWfakxIMEgp+4HMLCql3Aycr31/HNjXctzLJnL/yYCetXQyUHGEvdugahOUdVcFrDmJ5jkinyHxeLKpxcqU5Grr4kgwODmGEhqDvrlIHVYeQkELXkHquEDCbzb9kg/9w7cAeNnLXkZ/fz+7d4emrQ0bNtDVFWpat9xyS8wDNAPJwJ497N4zwC233MK//+dXaRL+5oW9YVjON7/5Ta666ioajQZbtmzh/vvvZ8WKFXR2dvKOd7yD008/ndNPP71Ue2247bbb+Od//meGhobYvn07K1eujAXDG9/4RgB27tzJnj17OO644wA4++yz4wn/5ptv5p577uH6668HYNeuXTz00EPUauUTCrrgeSLtrjpOV96+rioPRguEwdFGqWSHMccwWiwY9NQrZTSG+R0V5+9QQW6uBVNsEjLGVF5KjPA8+3jrcJiOwc03TjXmdOTzVMCWUM+FxMxjJ5/Lqo+uXEn6tfOiOF3prRcVCQZL8kETnmY+KnQ/jfaHufLzj02uKZAQm188h7lq3rx58ecgCPjlL39JZ2dnHN3bFe1X9nT1bh577DEuu+wyNm3axMKFCzn33HMZGRmhUqnwq1/9iltvvZXrr7+eK664gh//+MflGq1hZGSEv/3bv2Xz5s3sv//+XHzxxYyMjFjb7YKUks997nOcdtppqe233357y+0xkTEljdOVt1czJW0fHGPNfgsKz1ET5mAJwaAvUvKi5dU18rLDqgWTq4JgLDhyOIZW4hjUOLIJqnnP0TiGNgy4eIO8Y00BkMQxlLun6jy2e6rOahtUagC4+pzSGFy21pY1hpJeRo2gBY0haoKUcPSxx/HNb4Q01u23386SJUvo7c2ao0499VQ+97nPAaFQ/P19v6PZDDjllFO48gv/CoTvZseOHezevZt58+bR19fH1q1b+cEPfgCEfMSuXbt49atfzeWXX85vf/tbAHp6etizx53fyTxGCYElS5YwMDAQr/pNLFiwgJ6eHu68804Avv71r8f7TjvtNL7whS9Qr4cT7x/+8AcGBwdLtaUIvpcmnwNpN3kUoberyp6RBs1AsmNojEXzy2gM4TjYEwsGd5/Q+3cZ8jkvCWCxxqDGTdZhQyGPYzCva1aC1OHKajDVaAuGSYbLBTXvWGfAWslVQp7GoAaCNVNkwcoo0RjKcQw26AKjrGCoW6rUFZ0jpeRv/n4jv/n1r1m9ejUbN27kuuuus57z2c9+ls2bN7N69WrWH7Wab/3nv9EIJB/5yEfYvmMHr3v5cRx/7Dpuu+021qxZw1FHHcURRxzB2WefzQknnADAnj17OP3001m9ejUnnngin/nMZwB405vexKc//WmOOuooK/kMcO655/Lud7+btWvX0tHRwTvf+U5WrVrFaaedxvr1652/9ZprruGd73wna9euZXBwkL6+PgDOP/98VqxYwdFHH82qVav467/+axqNBqtXr8b3fdasWTMu8hkijUGm4xjGM0mpRchTO4epNyWLCvIsQavuqsm+3i63xqDGwfwcraLXYfJJ9tsneJVJuWYkzFRQAiuTdjsnjqEvKgg0Xvfp8aJtSppkxGU+Swye2JSUcVdtzZSkcqrYOmMcq2FxDywaAIsiryRXgZRaxYMoI7NLY9BPLdKA4tw8srwd2xeC2zbdy8L5HQx4Q1x/ww0ZHubiiy9OfV+yZAnf+MY3gLC+wP1bdlNvShb0zOeKL36JJ3cO84LlvfFEdO2111rv/atf/Sqz7YQTTiiMY3j961/P61//+vj7xz/+cT7+8Y9njjNNQStXrow9rS699NKYvPY8j09+8pN88pOfzFxjPOYtHcp1U6EpJbVxGLyVYHjs2UGAchxDZEp6eneoVeVpArUWNQZbDIPZVtdk3JvDzVU8z1n5r6fDfl6YpNJuSjr72AM4av+FzsXbVKEtGCYZyuxSZuy4NAZl+y9b2F4Iwbxaxe6uGnUom2dRZ9Wno+I5B8CSAo4hFRiY0zaBQFK80kwJkZILpDAoTgu8ajFXku+F7VO1ptUkOBsjn2+66Sb+6Z/+iUajwYEHHugUWJMJ0yEgkOOLCleT7eP9LQiGqP8/8swAAPsvcruQl+cYEvK5qK2uybgnx53V89x1PBLSOqtpdFQ86/hd0F3juOctdrZ1qtAWDJOMWGNowZRkdohTVizj6reu44DF5WMpuqLAHBNqte/2ya7maAz5HEOH5n+d576oIqjLmpLMz7nneFGAmnavViCEoOILGlGCE8q5pgAAEOJJREFUJsVvTIZN9z3veQ//8z//k9r2vve9j/POO29c13vjG98YeylNF/R8VJ4vCILxpWcYl8YQ9a9Htg3SVfVjzivvWEhMPTaoyd6VMkNvq1NjcHAM4TmelXiGcKwde9AiVu6T5b1qvjerEje2BcMkw5Zd1XlsTkWnU1YUpZ1KY57D/c6W9kNHX1c1rpNrogzHEFA8UURBz6VNSXq7i+CJ1lJ121DxRJzLyVUkfjz4/Oc/PynXmUnoaTEq0f/xuqsCPD4OwTAw2uDwZfNzFx8pjmGCGoPS2J0cQ47g8IS7rrnvCb757uOs+zqq/rTzCHlok8+TDFs9BhdacW0twoLuqtW2mZDPDtc7S1FzhYURQViUEqMo2MkW9GeDLrtaMyVJ6o0gNAuN41FWfC+u/NVOoJeGnkhPpQ4Zn7tqONkqjWFhKY4h6c9FmQha9UoqY0pykd0ukxCEfalM8J6JjkpbY/iLRhzNPAF31fHgsr9aY81YmRfHAMRRxjZUfY++rmpuPYZRSmoMTJ0pSQLD9YCOij+u4joVTzBST0xJbcGQQDclNQqqo+VBTbZ/3jFMreImaHXo5qE8fgHKcwxqgVTGlJQX+eza7wl7wswi1Cpey6nMpxJtwTDJcBHKNqhOOhkrhec50gDkxTEA/PXJz4vz09uwvK/TuboqqzGoDKtFP9OsYVEG6pyRejOVFLAVVPzQlCSlpBkE1Max4vtLherPjUBClDa7TAI8E11Vn6ovqDclS+d3lBLgFU/EadH3W5hfrrW0V1KlhCmpIFWMSmZpE0AVT+QminSho2LnCGcKbcEwyfCEKP2C/WnwT05SYtjv86JD8j0e/vUtR1vz1oNOPue3Qe0vmuyFCL2bJC1oDHFKDDmuCQvCZxQKBRlpDG0Lq0KtEvp5jdST0pplveV0CCHo66ry7MBYKX5BndNRCTOZFmkMOoeWF8egvPPyhEefI7JZYf9F3fzXe09khYVEXtbXWdhWG0KX89kjGNojYJJR8URp01DFF1NuV0yS6I3vVR+ydH5cB8JEaY2hZGyH0LyByqrVvoCv/NsXOfOlL+S97xyft496Ro1ATphjKFOPYbJx0EEH8eyzzwJw/PHH5x5r1oI4//zzc9vrCUGt4jPaaDLWCAMP8yKQ86Am7LKCAZJYhiKOQQhBLYrnyTNTVUqRz1U6qx7zO9wC5sj9+qz95OvvfBH/96mH57bVhvUHLeSoAxa2fN5Uoa0xTDI8T5ROZeGJ8kJkvHDlY5oMZNIF/2AjPP27zHH71ps0AxnWyC74vQeNNZAyiuYWAvY+El51qfN4zxN889+v4aqvfYcT1zy/sM22ugbqGakKYxPR4srUYyiD8dRfAPj5z3+eu9+sBfGlL32p8JodFY+ReoCUkQYxzj7bNx7BEPWx/Rflm5IAOnyPzoL2lSGffU/w3fecwH7jSL3vclUtwodfM7H+MtloawyTjJY0hukwJakAtymInFQrx7K/oMxxwvhfhPf/3Xt44k+P87fn/BVXfPb/cOaZZ7ZUj2H9+vVsuvMXAPTv2M3/+4H3cNKLjmH16tVTUo8BwjoL73vf+1i7di2rVq2KI6iL2qliIvr7+zn11FNZuXIl559/fpxAEGD+/IRr+tSnPsWRRx7JmjVr2Lhxo7UWxEte8pI4rffXvvY1jjzySFatWsWFFybFFFcetIzLPvExXnnyi3jja17O1q1bAfjWt77FqlWrWLNmDSeddFLhuxqfYPBZ0F3NJZQVqhWv8LjYXTXHlARwxN69ucLjLx1z95dPEUKNoTzHMNWmJDUQXDUVJoKMxuBY2W99dpDdI3VesLwXr0BAPbl1D8P1Jkfs3VuKM7ji81/gv//7v7n2+pv4+hc/w1FHHcV3v/vd0vUY/vSnP3HqaafxzR/9gk/90yfo6e3lV3f9hvmdVXbs2AFMbj0GhaGhIe6++27uuOMO3v72t3PvvfcWtvO0007jgQce4GMf+xgnnngiH/3oR7npppu45pprMtf/wQ9+wPe+9z3uvPNOuru72b59O4sWLcrUglB46qmnuPDCC7nrrrtYuHAhp556Kt/97nc588wzGRoc5Mijj+HvLvwIV376Eq6++mo+8pGPcMkll/DDH/6Qfffdl507dxa+K0XqtqoxlC2aVfO9XH4BymkMbbQFw6TDb4F8rvjljx13e6bSlBRzDPnHJe6qxddUgrJ0HEMkO2oVwc9+9rN4lV+2HgPAnt27GR4c4Kc/uY3Lr/xyTLYvXDh19Rje/OY3A3DSSSexe/fueGLNa+fu3bsZGBjgjjvu4IYbbgDgNa95TdxOHbfccgvnnXce3d3hpLpoUbaCoI5Nmzbxkpe8BFVP/S1veQt33HEHZ555JrVajZNf8UoAjjn6aH7x09uBMC/Uueeeyxve8AZe97rXFf5mpTGUiWFQWL3fApb0lDu+VvFySWWAg5bMY8n8Gkt7OnKPm+uYkGAQQvwVcDHwAuDYqECP7bhXAv8C+MCXpJSXRtsPBr4OLAbuAs6RUrp9J58DaMWU5Hv2LIyT257IK2k6OAYHyga4pY5t0V21qFSkqx6DgqpVvbC7lrJRT1U9BtMOrr4XtXMmUK1W4/Z11Ko0GmHcy5VXXsmdd97JTTfdxDHHHMNdd93F4sVuLzclGPJSW5j4329YU/rYrqpf6LL80ufvxeaPnFL6mnMVE7Uv3Au8DrjDdYAQwgc+D7wKWAG8WQihmJZPAZdLKQ8FdgDvmGB7ZhyeV77sYStCZLyYSlNStQWNoWw5SE+kvZOKoARrZ9XnxS9+MV/5yleA8vUYAO6++24qvuD4k17KV758Vbx9quoxAHF215/97Gf09fXFKbSL2gmhlvHVr34VCE1GyuSl45RTTuHLX/4yQ0NDAGzfvj23fcceeyw/+clPePbZZ2k2m3zta1/j5JNPjverRYC+wHjkkUd44QtfyCWXXMLSpUv585//nPubY42hRMrt8eCiDSt4/ysOm5JrzzVMaLaQUj4gpXyw4LBjgYellI9G2sDXgTNEOEu8DFCVSa4DzpxIe2YDDlzUzQElPCggXDktLlGwZCKo+N6UcRkqAKmIQK/5XukYAz/KaV8Wofukx8J5NS6++GLuuuuuluoxrFixgiuvvJJ9+jr5xMcuYufOnTGhOlX1GAA6Ozs56qijePe7323lCFztBLjooou44447WLlyJTfccAMHHHBA5txXvvKVbNiwgXXr1rF27Vouu+wyIF0LYnh4OD5++fLlXHrppbz0pS9lzZo1HHPMMZxxxhlJeyt+xovuggsuiMnq448/njVr8lf3fd2RxjBFff745y1h5T5ZAdvGOCCj/CcT+QNuB9Y59p1FaD5S388BrgCWEAoMtX1/4N6ce7wL2AxsPuCAA+RfAoZGG3L7wOiU3uOhrbvlf/zi8Sm7/m9/d69sNJu5xwRBIJtBUOp6AyN1+eyekclo2qzFySefLDdt2jTTzWgJeybwXu6//34ppZS7hsfkNT99VAYl+0Ibkw9gsywxpxdyDEKIW4C9Lbs+LKX83sTEUnlIKa8CrgJYt26dLDj8OYGumj9uv+eyOHSvHg7dq2fKrl/1vcJI4bAmQznM66g4I63bmDnM76hM2JOnt7PK2088eJJa1MZUovBNSylfMcF7PEmoDSjsF23rBxYIISpSyoa2vY02/iLgqsdgVmZro43ZhulYmm0CDos8kJ4E3gScLaWUQojbCE1NXwfeBkybBtLG5EFKOe5o2L9k/CXUY5gopPyLUO7nHCZEPgsh/pcQ4gngOOAmIcQPo+37CCH+P4BIG3gv8EPgAeCbUsr7oktcCHxACPEwocuqnYVrY9ais7OT/v7+9gTQRgZSSvr7+2fc3baN1iGeiwN63bp1UoXxtzGzqNfrPPHEE4yMjMx0U9qYhejs7GS//fajWh1fSvQ2JhdCiLuklOuKjmuzfG1MCNVqlYMPbhOKbbTxl4R2Er022mijjTZSaAuGNtpoo402UmgLhjbaaKONNlJ4TpLPQohtwB/HefoS4NlJbM5kot228WM2t6/dtvFhNrcNZnf7XG07UEq5tOjk56RgmAiEEJvLsPIzgXbbxo/Z3L5228aH2dw2mN3tm2jb2qakNtpoo402UmgLhjbaaKONNlKYi4LhquJDZgztto0fs7l97baND7O5bTC72zehts05jqGNNtpoo418zEWNoY022mijjRy0BUMbbbTRRhspzCnBIIR4pRDiQSHEw0KIjTPclv2FELcJIe4XQtwnhHhftP1iIcSTQoi7o79Xz1D7HhdC/C5qw+Zo2yIhxI+EEA9F/xfOQLuerz2bu4UQu4UQ75/J5yaE+DchxDNCiHu1bdZnJUJ8NuqD9wghjp6Btn1aCPH76P7fEUIsiLYfJIQY1p7hlTPQNud7FEJ8KHpuDwohTpuBtn1Da9fjQoi7o+3T/dxcc8fk9bkyZd7+Ev4AH3gEOASoAb8FVsxge5YDR0efe4A/ACuAi4EPzoLn9TiwxNj2z8DG6PNG4FOz4J0+DRw4k88NOAk4Gq00retZAa8GfgAI4EXAnTPQtlOBSvT5U1rbDiKnvO40tc36HqOx8VugAzg4Gsv+dLbN2P+/gY/O0HNzzR2T1ufmksZwLGGN6UellGOExYHOKDhnyiCl3CKl/HX0eQ9hrYp9Z6o9JXEGcF30+TrgzBlsC8DLgUeklOONgp8USCnvALYbm13P6gzg32WIXxJWMVw+nW2TUt4swzopAL8krJ447XA8NxfOAL4upRyVUj4GPEw4pqe9bSKsSvUG4GtTdf885Mwdk9bn5pJg2Bf4s/b9CWbJRCyEOAg4Crgz2vTeSOX7t5kw10SQwM1CiLuEEO+Kti2TUm6JPj8NLJuZpsV4E+nBORuem4LrWc22fvh2wtWkwsFCiN8IIX4ihHjxDLXJ9h5n03N7MbBVSvmQtm1Gnpsxd0xan5tLgmFWQggxH/g28H4p5W7gC8DzgLXAFkKVdSZwopTyaOBVwHuEECfpO2Woo86Yr7MQogZsAL4VbZotzy2DmX5WLgghPgw0gK9Em7YAB0gpjwI+AHxVCNE7zc2ate9Rw5tJL0hm5LlZ5o4YE+1zc0kwPAnsr33fL9o2YxBCVAlf7FeklDcASCm3SimbUsoAuJopVJfzIKV8Mvr/DPCdqB1blQoa/X9mJtoW4VXAr6WUW2H2PDcNrmc1K/qhEOJc4HTgLdEkQmSm6Y8+30Voxz98OtuV8x5ny3OrAK8DvqG2zcRzs80dTGKfm0uCYRNwmBDi4Gi1+SbgxplqTGSnvAZ4QEr5GW27bvv7X8C95rnT0LZ5Qoge9ZmQrLyX8Hm9LTrsbcD3prttGlKrttnw3Ay4ntWNwFsjT5EXAbs09X9aIIR4JfAPwAYp5ZC2fakQwo8+HwIcBjw6zW1zvccbgTcJITqEEAdHbfvVdLYtwiuA30spn1Abpvu5ueYOJrPPTReTPhv+CNn5PxBK9A/PcFtOJFT17gHujv5eDfwH8Lto+43A8hlo2yGEHiC/Be5TzwpYDNwKPATcAiyaoWc3D+gH+rRtM/bcCAXUFqBOaL99h+tZEXqGfD7qg78D1s1A2x4mtDmrfndldOzro/d9N/Br4LUz0DbnewQ+HD23B4FXTXfbou3XAu82jp3u5+aaOyatz7VTYrTRRhtttJHCXDIltdFGG220UQJtwdBGG2200UYKbcHQRhtttNFGCm3B0EYbbbTRRgptwdBGG2200UYKbcHQRhtttNFGCm3B0EYbbbTRRgr/P1Cst0EhLgQ6AAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X=X.reshape(-1,T,1)\n",
        "i=Input(shape=(T,D))\n",
        "x=LSTM(10)(i)\n",
        "x=Dense(1)(x)\n",
        "model=Model(i,x)\n",
        "model.compile(loss='mse',optimizer=Adam(lr=0.05))\n",
        "r=model.fit(X[:-N//2],Y[:-N//2],batch_size=32,epochs=200,validation_data=(X[-N//2:],Y[-N//2:]))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_08XLlpvBFDZ",
        "outputId": "dd8a0181-02a2-4d5b-f5da-7c7e853de35d"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/200\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.8/dist-packages/keras/optimizers/optimizer_v2/adam.py:110: UserWarning: The `lr` argument is deprecated, use `learning_rate` instead.\n",
            "  super(Adam, self).__init__(name, **kwargs)\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "7/7 [==============================] - 3s 107ms/step - loss: 0.5439 - val_loss: 0.5764\n",
            "Epoch 2/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.5258 - val_loss: 0.6187\n",
            "Epoch 3/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.5309 - val_loss: 0.5963\n",
            "Epoch 4/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.4782 - val_loss: 0.5170\n",
            "Epoch 5/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.4087 - val_loss: 0.4665\n",
            "Epoch 6/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.3118 - val_loss: 0.4008\n",
            "Epoch 7/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.2149 - val_loss: 0.2750\n",
            "Epoch 8/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.2061 - val_loss: 0.2808\n",
            "Epoch 9/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.1871 - val_loss: 0.2396\n",
            "Epoch 10/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.1357 - val_loss: 0.2529\n",
            "Epoch 11/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0963 - val_loss: 0.1304\n",
            "Epoch 12/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0561 - val_loss: 0.1305\n",
            "Epoch 13/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0637 - val_loss: 0.0983\n",
            "Epoch 14/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0329 - val_loss: 0.0591\n",
            "Epoch 15/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0199 - val_loss: 0.0481\n",
            "Epoch 16/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0156 - val_loss: 0.0405\n",
            "Epoch 17/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0136 - val_loss: 0.0596\n",
            "Epoch 18/200\n",
            "7/7 [==============================] - 0s 21ms/step - loss: 0.0162 - val_loss: 0.0318\n",
            "Epoch 19/200\n",
            "7/7 [==============================] - 0s 20ms/step - loss: 0.0146 - val_loss: 0.0428\n",
            "Epoch 20/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0119 - val_loss: 0.0345\n",
            "Epoch 21/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0092 - val_loss: 0.0377\n",
            "Epoch 22/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0080 - val_loss: 0.0390\n",
            "Epoch 23/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0072 - val_loss: 0.0359\n",
            "Epoch 24/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0072 - val_loss: 0.0338\n",
            "Epoch 25/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0057 - val_loss: 0.0304\n",
            "Epoch 26/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0054 - val_loss: 0.0298\n",
            "Epoch 27/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0057 - val_loss: 0.0299\n",
            "Epoch 28/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0049 - val_loss: 0.0309\n",
            "Epoch 29/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0058 - val_loss: 0.0309\n",
            "Epoch 30/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0052 - val_loss: 0.0309\n",
            "Epoch 31/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0048 - val_loss: 0.0352\n",
            "Epoch 32/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0049 - val_loss: 0.0262\n",
            "Epoch 33/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0044 - val_loss: 0.0355\n",
            "Epoch 34/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0049 - val_loss: 0.0256\n",
            "Epoch 35/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0054 - val_loss: 0.0311\n",
            "Epoch 36/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0057 - val_loss: 0.0260\n",
            "Epoch 37/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0043 - val_loss: 0.0308\n",
            "Epoch 38/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0044 - val_loss: 0.0255\n",
            "Epoch 39/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0050 - val_loss: 0.0284\n",
            "Epoch 40/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0034 - val_loss: 0.0300\n",
            "Epoch 41/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0053 - val_loss: 0.0219\n",
            "Epoch 42/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0055 - val_loss: 0.0343\n",
            "Epoch 43/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0038 - val_loss: 0.0194\n",
            "Epoch 44/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0042 - val_loss: 0.0272\n",
            "Epoch 45/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0043 - val_loss: 0.0256\n",
            "Epoch 46/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0038 - val_loss: 0.0229\n",
            "Epoch 47/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0023 - val_loss: 0.0257\n",
            "Epoch 48/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0023 - val_loss: 0.0226\n",
            "Epoch 49/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0021 - val_loss: 0.0221\n",
            "Epoch 50/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0022 - val_loss: 0.0280\n",
            "Epoch 51/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0029 - val_loss: 0.0227\n",
            "Epoch 52/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0025 - val_loss: 0.0266\n",
            "Epoch 53/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0024 - val_loss: 0.0231\n",
            "Epoch 54/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0020 - val_loss: 0.0256\n",
            "Epoch 55/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0021 - val_loss: 0.0207\n",
            "Epoch 56/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0038 - val_loss: 0.0186\n",
            "Epoch 57/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0034 - val_loss: 0.0246\n",
            "Epoch 58/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0027 - val_loss: 0.0178\n",
            "Epoch 59/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0027 - val_loss: 0.0281\n",
            "Epoch 60/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0029 - val_loss: 0.0239\n",
            "Epoch 61/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0019 - val_loss: 0.0224\n",
            "Epoch 62/200\n",
            "7/7 [==============================] - 0s 22ms/step - loss: 0.0023 - val_loss: 0.0242\n",
            "Epoch 63/200\n",
            "7/7 [==============================] - 0s 17ms/step - loss: 0.0018 - val_loss: 0.0244\n",
            "Epoch 64/200\n",
            "7/7 [==============================] - 0s 21ms/step - loss: 0.0019 - val_loss: 0.0233\n",
            "Epoch 65/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0035 - val_loss: 0.0215\n",
            "Epoch 66/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0025 - val_loss: 0.0237\n",
            "Epoch 67/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0025 - val_loss: 0.0225\n",
            "Epoch 68/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0015 - val_loss: 0.0187\n",
            "Epoch 69/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0017 - val_loss: 0.0240\n",
            "Epoch 70/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0021 - val_loss: 0.0189\n",
            "Epoch 71/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0017 - val_loss: 0.0228\n",
            "Epoch 72/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0017 - val_loss: 0.0222\n",
            "Epoch 73/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0024 - val_loss: 0.0199\n",
            "Epoch 74/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0038 - val_loss: 0.0242\n",
            "Epoch 75/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0032 - val_loss: 0.0210\n",
            "Epoch 76/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0025 - val_loss: 0.0168\n",
            "Epoch 77/200\n",
            "7/7 [==============================] - 0s 22ms/step - loss: 0.0050 - val_loss: 0.0294\n",
            "Epoch 78/200\n",
            "7/7 [==============================] - 0s 18ms/step - loss: 0.0033 - val_loss: 0.0194\n",
            "Epoch 79/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0039 - val_loss: 0.0290\n",
            "Epoch 80/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0054 - val_loss: 0.0209\n",
            "Epoch 81/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0040 - val_loss: 0.0229\n",
            "Epoch 82/200\n",
            "7/7 [==============================] - 0s 18ms/step - loss: 0.0034 - val_loss: 0.0232\n",
            "Epoch 83/200\n",
            "7/7 [==============================] - 0s 17ms/step - loss: 0.0038 - val_loss: 0.0265\n",
            "Epoch 84/200\n",
            "7/7 [==============================] - 0s 22ms/step - loss: 0.0059 - val_loss: 0.0217\n",
            "Epoch 85/200\n",
            "7/7 [==============================] - 0s 23ms/step - loss: 0.0053 - val_loss: 0.0149\n",
            "Epoch 86/200\n",
            "7/7 [==============================] - 0s 24ms/step - loss: 0.0062 - val_loss: 0.0362\n",
            "Epoch 87/200\n",
            "7/7 [==============================] - 0s 22ms/step - loss: 0.0075 - val_loss: 0.0223\n",
            "Epoch 88/200\n",
            "7/7 [==============================] - 0s 29ms/step - loss: 0.0050 - val_loss: 0.0203\n",
            "Epoch 89/200\n",
            "7/7 [==============================] - 0s 23ms/step - loss: 0.0031 - val_loss: 0.0282\n",
            "Epoch 90/200\n",
            "7/7 [==============================] - 0s 30ms/step - loss: 0.0027 - val_loss: 0.0201\n",
            "Epoch 91/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0025 - val_loss: 0.0246\n",
            "Epoch 92/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0018 - val_loss: 0.0177\n",
            "Epoch 93/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0025 - val_loss: 0.0189\n",
            "Epoch 94/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0022 - val_loss: 0.0252\n",
            "Epoch 95/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0018 - val_loss: 0.0217\n",
            "Epoch 96/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0044 - val_loss: 0.0146\n",
            "Epoch 97/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0040 - val_loss: 0.0244\n",
            "Epoch 98/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0028 - val_loss: 0.0203\n",
            "Epoch 99/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0033 - val_loss: 0.0208\n",
            "Epoch 100/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0026 - val_loss: 0.0211\n",
            "Epoch 101/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0018 - val_loss: 0.0205\n",
            "Epoch 102/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0019 - val_loss: 0.0218\n",
            "Epoch 103/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0019 - val_loss: 0.0211\n",
            "Epoch 104/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0020 - val_loss: 0.0179\n",
            "Epoch 105/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0016 - val_loss: 0.0290\n",
            "Epoch 106/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0018 - val_loss: 0.0150\n",
            "Epoch 107/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0020 - val_loss: 0.0267\n",
            "Epoch 108/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0018 - val_loss: 0.0202\n",
            "Epoch 109/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0013 - val_loss: 0.0192\n",
            "Epoch 110/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0011 - val_loss: 0.0245\n",
            "Epoch 111/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0012 - val_loss: 0.0192\n",
            "Epoch 112/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0013 - val_loss: 0.0214\n",
            "Epoch 113/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0013 - val_loss: 0.0203\n",
            "Epoch 114/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0014 - val_loss: 0.0202\n",
            "Epoch 115/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0012 - val_loss: 0.0206\n",
            "Epoch 116/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0012 - val_loss: 0.0223\n",
            "Epoch 117/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0014 - val_loss: 0.0222\n",
            "Epoch 118/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0025 - val_loss: 0.0173\n",
            "Epoch 119/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0025 - val_loss: 0.0195\n",
            "Epoch 120/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0023 - val_loss: 0.0221\n",
            "Epoch 121/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0019 - val_loss: 0.0242\n",
            "Epoch 122/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0024 - val_loss: 0.0144\n",
            "Epoch 123/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0027 - val_loss: 0.0292\n",
            "Epoch 124/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0027 - val_loss: 0.0219\n",
            "Epoch 125/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0036 - val_loss: 0.0242\n",
            "Epoch 126/200\n",
            "7/7 [==============================] - 0s 16ms/step - loss: 0.0065 - val_loss: 0.0227\n",
            "Epoch 127/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0032 - val_loss: 0.0200\n",
            "Epoch 128/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0039 - val_loss: 0.0283\n",
            "Epoch 129/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0032 - val_loss: 0.0231\n",
            "Epoch 130/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0029 - val_loss: 0.0222\n",
            "Epoch 131/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0016 - val_loss: 0.0191\n",
            "Epoch 132/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0017 - val_loss: 0.0245\n",
            "Epoch 133/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0019 - val_loss: 0.0204\n",
            "Epoch 134/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0016 - val_loss: 0.0212\n",
            "Epoch 135/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0014 - val_loss: 0.0259\n",
            "Epoch 136/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0017 - val_loss: 0.0172\n",
            "Epoch 137/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0018 - val_loss: 0.0197\n",
            "Epoch 138/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0022 - val_loss: 0.0295\n",
            "Epoch 139/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0023 - val_loss: 0.0154\n",
            "Epoch 140/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0021 - val_loss: 0.0208\n",
            "Epoch 141/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0022 - val_loss: 0.0267\n",
            "Epoch 142/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0022 - val_loss: 0.0218\n",
            "Epoch 143/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0024 - val_loss: 0.0176\n",
            "Epoch 144/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0017 - val_loss: 0.0248\n",
            "Epoch 145/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0019 - val_loss: 0.0174\n",
            "Epoch 146/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0015 - val_loss: 0.0179\n",
            "Epoch 147/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0016 - val_loss: 0.0199\n",
            "Epoch 148/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 0.0013 - val_loss: 0.0210\n",
            "Epoch 149/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 9.1041e-04 - val_loss: 0.0177\n",
            "Epoch 150/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0013 - val_loss: 0.0181\n",
            "Epoch 151/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 9.5307e-04 - val_loss: 0.0228\n",
            "Epoch 152/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0014 - val_loss: 0.0186\n",
            "Epoch 153/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 9.0992e-04 - val_loss: 0.0173\n",
            "Epoch 154/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 7.7025e-04 - val_loss: 0.0251\n",
            "Epoch 155/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0015 - val_loss: 0.0174\n",
            "Epoch 156/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0016 - val_loss: 0.0246\n",
            "Epoch 157/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0017 - val_loss: 0.0198\n",
            "Epoch 158/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0025 - val_loss: 0.0155\n",
            "Epoch 159/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0023 - val_loss: 0.0201\n",
            "Epoch 160/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0021 - val_loss: 0.0235\n",
            "Epoch 161/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0012 - val_loss: 0.0197\n",
            "Epoch 162/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0014 - val_loss: 0.0177\n",
            "Epoch 163/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0011 - val_loss: 0.0230\n",
            "Epoch 164/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0012 - val_loss: 0.0174\n",
            "Epoch 165/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0011 - val_loss: 0.0205\n",
            "Epoch 166/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0025 - val_loss: 0.0257\n",
            "Epoch 167/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0027 - val_loss: 0.0157\n",
            "Epoch 168/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0039 - val_loss: 0.0204\n",
            "Epoch 169/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0037 - val_loss: 0.0237\n",
            "Epoch 170/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0032 - val_loss: 0.0227\n",
            "Epoch 171/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0042 - val_loss: 0.0205\n",
            "Epoch 172/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0035 - val_loss: 0.0200\n",
            "Epoch 173/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0022 - val_loss: 0.0186\n",
            "Epoch 174/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0017 - val_loss: 0.0271\n",
            "Epoch 175/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0021 - val_loss: 0.0205\n",
            "Epoch 176/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0028 - val_loss: 0.0254\n",
            "Epoch 177/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0026 - val_loss: 0.0261\n",
            "Epoch 178/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0020 - val_loss: 0.0175\n",
            "Epoch 179/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0020 - val_loss: 0.0227\n",
            "Epoch 180/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0014 - val_loss: 0.0187\n",
            "Epoch 181/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0021 - val_loss: 0.0190\n",
            "Epoch 182/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0015 - val_loss: 0.0218\n",
            "Epoch 183/200\n",
            "7/7 [==============================] - 0s 11ms/step - loss: 9.4897e-04 - val_loss: 0.0224\n",
            "Epoch 184/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0015 - val_loss: 0.0169\n",
            "Epoch 185/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0012 - val_loss: 0.0227\n",
            "Epoch 186/200\n",
            "7/7 [==============================] - 0s 13ms/step - loss: 0.0017 - val_loss: 0.0179\n",
            "Epoch 187/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0021 - val_loss: 0.0206\n",
            "Epoch 188/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0026 - val_loss: 0.0207\n",
            "Epoch 189/200\n",
            "7/7 [==============================] - 0s 17ms/step - loss: 0.0040 - val_loss: 0.0238\n",
            "Epoch 190/200\n",
            "7/7 [==============================] - 0s 25ms/step - loss: 0.0043 - val_loss: 0.0191\n",
            "Epoch 191/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0072 - val_loss: 0.0202\n",
            "Epoch 192/200\n",
            "7/7 [==============================] - 0s 17ms/step - loss: 0.0092 - val_loss: 0.0319\n",
            "Epoch 193/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0083 - val_loss: 0.0306\n",
            "Epoch 194/200\n",
            "7/7 [==============================] - 0s 22ms/step - loss: 0.0058 - val_loss: 0.0184\n",
            "Epoch 195/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0056 - val_loss: 0.0307\n",
            "Epoch 196/200\n",
            "7/7 [==============================] - 0s 15ms/step - loss: 0.0048 - val_loss: 0.0185\n",
            "Epoch 197/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0035 - val_loss: 0.0303\n",
            "Epoch 198/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0025 - val_loss: 0.0173\n",
            "Epoch 199/200\n",
            "7/7 [==============================] - 0s 14ms/step - loss: 0.0022 - val_loss: 0.0256\n",
            "Epoch 200/200\n",
            "7/7 [==============================] - 0s 12ms/step - loss: 0.0022 - val_loss: 0.0190\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "plt.plot(r.history['loss'],label='loss')\n",
        "plt.plot(r.history['val_loss'],label='val_loss')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "v_S8t981BvaZ",
        "outputId": "b460c873-fdc2-4f40-9667-3829f71b74d5"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "outputs=model.predict(X)\n",
        "print(outputs.shape)\n",
        "prediction=outputs[:,0]\n",
        "\n",
        "plt.plot(Y,label='targets')\n",
        "plt.plot(prediction,label='predictions')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 301
        },
        "id": "yeN7nshhB7Rr",
        "outputId": "bfd88267-9ca3-45a5-ffc5-ca48c9438928"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "13/13 [==============================] - 1s 3ms/step\n",
            "(390, 1)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "forecast=[]\n",
        "input_=X[-N//2]\n",
        "while len(forecast)<len(Y[-N//2:]):\n",
        "  f=model.predict(input_.reshape(1,T,1))[0,0]\n",
        "  forecast.append(f)\n",
        "\n",
        "  input_=np.roll(input_,-1)\n",
        "  input_[-1]=f\n",
        "\n",
        "plt.plot(Y[-N//2:],label='targets')\n",
        "plt.plot(forecast,label='forecast')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "9OUeuP_gCfdX",
        "outputId": "fe5c7517-a825-4ac7-ae9c-9c417596f625"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 17ms/step\n",
            "1/1 [==============================] - 0s 26ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 17ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 25ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 30ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 32ms/step\n",
            "1/1 [==============================] - 0s 28ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 23ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 25ms/step\n",
            "1/1 [==============================] - 0s 31ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 17ms/step\n",
            "1/1 [==============================] - 0s 18ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 21ms/step\n",
            "1/1 [==============================] - 0s 20ms/step\n",
            "1/1 [==============================] - 0s 31ms/step\n",
            "1/1 [==============================] - 0s 19ms/step\n",
            "1/1 [==============================] - 0s 25ms/step\n",
            "1/1 [==============================] - 0s 24ms/step\n",
            "1/1 [==============================] - 0s 27ms/step\n",
            "1/1 [==============================] - 0s 22ms/step\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}