Course4Week4Lesson5.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "name": "S+P Week 4 Lesson 5.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "zX4Kg8DUTKWO",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "56XEQOGknrAk",
        "outputId": "d52053ae-8ab5-4863-97c9-50073f912f46",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "import tensorflow as tf\n",
        "print(tf.__version__)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "2.0.0-beta1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "sLl52leVp5wU",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
        "    plt.plot(time[start:end], series[start:end], format)\n",
        "    plt.xlabel(\"Time\")\n",
        "    plt.ylabel(\"Value\")\n",
        "    plt.grid(True)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "tP7oqUdkk0gY",
        "outputId": "549237ab-672c-49d5-b36e-bd196eae772f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 208
        }
      },
      "source": [
        "!wget --no-check-certificate \\\n",
        "    https://storage.googleapis.com/laurencemoroney-blog.appspot.com/Sunspots.csv \\\n",
        "    -O /tmp/sunspots.csv"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "--2019-07-02 23:12:41--  https://storage.googleapis.com/laurencemoroney-blog.appspot.com/Sunspots.csv\n",
            "Resolving storage.googleapis.com (storage.googleapis.com)... 172.217.194.128, 2404:6800:4003:c04::80\n",
            "Connecting to storage.googleapis.com (storage.googleapis.com)|172.217.194.128|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 70827 (69K) [application/octet-stream]\n",
            "Saving to: ‘/tmp/sunspots.csv’\n",
            "\n",
            "/tmp/sunspots.csv   100%[===================>]  69.17K  --.-KB/s    in 0.001s  \n",
            "\n",
            "2019-07-02 23:12:42 (116 MB/s) - ‘/tmp/sunspots.csv’ saved [70827/70827]\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "NcG9r1eClbTh",
        "outputId": "f3545940-e807-4109-f8be-a95a3a16d4cf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        }
      },
      "source": [
        "import csv\n",
        "time_step = []\n",
        "sunspots = []\n",
        "\n",
        "with open('/tmp/sunspots.csv') as csvfile:\n",
        "  reader = csv.reader(csvfile, delimiter=',')\n",
        "  next(reader)\n",
        "  for row in reader:\n",
        "    sunspots.append(float(row[2]))\n",
        "    time_step.append(int(row[0]))\n",
        "\n",
        "series = np.array(sunspots)\n",
        "time = np.array(time_step)\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time, series)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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YBywaL9OPXYQ/fXlprHLIaO3ozD9Ada9kMbc7RrCE0tTv2e+4ueFQzJIQOpBypsBd7x3G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\n1mF3QM7YKNzx4kqMfXC+7+cqXriqY46oLZQZfMv6jq/mTGOc8y5svH2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QtGkTlJaO1CrX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\niGOOfQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "VinZVwUa8WO7",
        "outputId": "e95494c5-13c5-4b60-85f0-f9021720cff3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        }
      },
      "source": [
        "series = np.array(sunspots)\n",
        "time = np.array(time_step)\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time, series)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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hit9PCZcokUcSv8+K9dGoYzUUTWveee1puOb07HAW1r+yaGhkbbHcH2gYyqIS\nSuNex9/tADZyzreoPoAx1hvAvwHczjk/4CxgzjlnjGkVBWPsFmSnPTFkyBBkMhmd20NRzGfJWLym\nteBYY2OjkoztHrV/zZo6ZNo2hhVNWx4iH698a2kXl9v27V3TMe+++y6qBBtF+9Gwp3C7lEwmgwOt\nHM/VNuO1BZvx5/f30kpTxNKly3DEnlXB799dGJxyU0NzXl4lqc7ta8n6MLW2tiZGJi/sfGt1+J1u\n3LgRmcw2n7uKw/Yd4u18TOdpQ0ODcppbtnT5vDU3NeXu2707K2t7W1siynz9hsJxwsnCRYvQuqVc\nKa22Nv+0TL1vU/OhRORd3EiVM8751KCJM8YqkVXMnuGc/8c6vIMxdgznfJs1bbnTOl4P4HjH7cdZ\nx9zyjAMwDgDGjBnDa2pqgoqnzoTXAQBFeZYik/YtBdbmK1K9evVGTc3l0ntb2zuBt98sOH7y8OGo\nGSudse7Cyhcvevfunag8SwuZTEaYb82t7cA7bxUcP/roo4H67PfS5ZdfgZ5Vap2tzePra4Hdu/KO\n1dTUYE9jCzD5HVRWVQUvR0cdGXnaaag5J7gxvGz1LmBuoa+RUzavvIuDnQcPA1MmoSpM/hUJO98O\nHG4DJr4NABg27ETU1IyMWTLgP9sWANsKpxz7njwa552gueG4T5/Vf8AA1NRcrJTMlP1LgU3Z/rd3\n71658n1201xg547ElPnSzjXAmtWe588+ezTGjhislFbVtIlAq7eCpv2+HmVRWVWdiLyLG89pTcbY\nQcbYAcG/g4yxA7KEWdZE9giAFZzzPzlOvQLgJuvvmwCMdxz/krVq82IA+x3Tn4SLNsGyb+VQGh5X\npsUZuFRRW62Z3DIsteqVlCCuOrQlMNah17Tmx//6ntHn6NRP56WiQTQpJT9z3R7f81o+Z7Ras6h4\nWs44531Cpn0ZgC8CWMIYW2gd+zGAewC8wBi7GcBGAJ+yzr0B4DoAdQCaAXwl5PO7NWHqr9e9FJk5\n2aiUTiCfM2E65tU84wsC7OOcF80fRockK8petGrE+ioWxcpFLeVMFkojIcyokyhnek5FoWRRhZSz\nLCo+ZwAAxthRAHrYvznnm/yu55xPh3dpvl9wPQdwq6o8pY5w43PFSl3nESWbdLNk41W+3ONvVUSK\njdMvMWiX7F5gEn5BgJfFN9kDZHLsKHLaPPwaY8WQSP+c4ztkaSnTT80S++baKSS7PnaRREWIjARZ\nVFZrfpQxtgbAegBTAWwAUOiwRBSVMNV30oqdwuM6DZWmQJNJksrFvfDkF68sw+odBwOn52k5C5xi\nxCRWMG9aOwoXXcSNKQvkA5Pe3yDxAAAgAElEQVTqfM8H1QmcCzO72l847eymR2tx6zPzQ6WhQjKD\n0BbnOUlHJc7Z3cgGkV3NOT8JWavXrEilIqRE8cWjM7Ancfqju6M0rRkgXfG0ZoCEXLR35teRxpZ2\nfPGR2cET9JDplB+/gf3NbcHTJXIcPOyxp06MmOrqyiXhLYJ+2DhTtZPY3diCQ63BFd2pq3fh9SVF\ncLnWCaURnRR5UEinLCrKWRvnfA+AMsZYGed8CoAxEctFyIhg+yadNnG4jZSzYqO0IMBQnDMOHn47\nMEGFag4xYPmxdf+hSNINQxqHmK37xGEr4sSUciYLPRb0OV4Wpc88nHwbBi0ISC4qytk+K1bZNADP\nMMbuR3aXACJGoqjAOmm2tCVv+qNUySs2Q9VizK/fQVNL1ooStFPuEOzVejhEvfEbSJLYnydRJhlJ\n3DrHr9x1rCxlkooc9M3zLGeOvxdtNhO8OUoSWNxoau0IvFtDd8IvlMaDjLGxyG6r1AzgdgATAKwF\n8JHiiEeIWLn9ABYIGr7y9k0e1+lYzpoisoAQPkQWSqNw0Dp4uB1L6vcHSKsLkeWsTaCwqeI3kMzZ\n0BA43aiwyyItzuFA/tReUsT2K3edqT9ZOQT94HUFVg+URlzoiFvM0DDffW5B0Z6VVPwsZ6sB/AHA\nMmTDX5zFOX+Cc/6ANc1JxMSH/m8aNu5pLjiuvH2Tx3U6X6H1e5M3jdTd8VK8WJ5Dsn66XoOWbTkL\niulVV37v9stXlxl9lglSNk4LWburET99eUmsfkB+j9bx65L5nF0wbKByWl6krciTuCCAyOKpnHHO\n7+ecXwLgSgB7ADzKGFvJGPs5Y+zUoklIFA2d/eBa2slyVmyU9tY0+LzGnHIWrFd2LwgIi9+7JTPO\nWfr5xlPz8PSsTajbJQ6/Uxy8c1Knz5JNax7dt4fveRXSppDrWPqS18K6N1KfM875Rs757zjn5wL4\nLICPAVgRuWSENqrNzLOP0miotKAmmZicVgnr11jMeEU0cJjBq8jjzF+/aliu4jVtIVPgg9T3id+7\nIu932rrFtMlbSqjEOatgjH2EMfYMsvHNVgH4eOSSEZEh6oMY02uoafOt6A54x/ni0msCPS+C1ZpB\naWxpx1of600CDWepbCNJ3NXATyKZNSz/WslzArz6iCH5G+mYLvOZa/dg54HoVtBq+ZwlsZF1Yzx3\nCGCMfQBZS9l1AGoBPA/gFs45rdRMKKodg+gqBr2GSpaz4uP1Zf+f+fW5v01t3wSEj3Zu0nL2+Ydn\nYdEW7wUKSRw47LKIWrLbn1+AySt3YvEvPhg6LWf9mbxqp3H3hckrd2DL3kP40iXDNGTyrkcyPzKd\na5OgmG7Y3YSfjV+a+/1ZKxzHhnuuj+iJ8b8zIcbPcnYngPcAnMY5/yjn/FlSzMzyzafmYcLS7cbS\nC/PR1smBv0ypw+aGwoUGHk/L+3X3DWcEfzihxPO1/tvPAHoDTP2+Q/j+Pxd6BhQOawRoMxio2E8x\nA4DWBG7YHTVfe2IuJi7fgZcXbsUBQ8FjnWW+tP4ANjdkF/6Y0n2/+vhc/Hy83uINv2pYriGYfFpT\nOSlPwrSZXQdbUHNvBtPW7A4viCIpNO6WDH4LAq7inP+Dc763mAKVEhOWbcc3n55X9OdWV2SL/cg+\n1QXnxr27TimNgkadQMtFGmhoasVNj9aioalVeu263QrfRhqd7U9fWoL/LKjHdI/BIAqfs1KqJnb2\ndXJg3kbz3eg7K3bg60/ONZ5u0vCrhnoLAvzPxx38dMOeaG0fP7imcB0frdZMLhrulETSUW1o9qqk\nv33h/IJzqg2wYNylT7BAPD5jPaau3oUnZ26QXqsSZyhJpSDyOSvF/n13Ywv+66H3MGtd8iMQJan+\n2PgpTbPXNeD+d9YopSMNQqv48vuavT+kDhwOvo1Ylc7qhgB8+6oR6F2d78mk53NmWCDCF1LOuhGq\nPmd2Z3eUwHLW0NSKn49fKp0mSoJ/Rncg59eloLaodI5BdGSvW+zYVkH75GKu1kwi7jayI0LHblN4\n9yHJHJkfnbEe972zWulaqeVMsb7+zwuLPM/tOtiilIaI6sroh2N3+Wpt35TQOtBd8VwQQHRfbOWs\nvIzh9e+OxcBeVbjk/00GALy2OBtxe8ywgfjo6GN90ohezlIg5zSu0O+pdI0mp2bCpDRtzS7c+9Yq\nY7KkEXdR6Divy9OOpgEmsVmb21vTjM/ZrkZvBSzMB0llxJYzoLB8qR9PLmQ50+C+iavR3GrG8TYK\nVNuZ7addxhjOOLYfjunXs+Cadokzd+EXGBGE3BY/CteqhA1ISiiNLz5SK3TiT+KqyqhwZ1+FQeUs\nskE1gQ3Z1AeHfG9Ntef4pZN0ZcedlVpBaEun6SYCUs40uH/SGtw3Uc2EHgeq7cze3LjMp/RlMarI\nxcwMOpYztfT0C8brnih2gSil/t2drzoxuXTTNpauwhZhacWvvwPUFSs/JTtMuRSjTw3jjtINqkCq\nIOVMk+YEb/i9STEMht2B+C1Dl5nnZY381CG9lWQpdbpiicXncwYAwwYdUXDsr5m1wRLzoTsM8ir8\nZ/4WrNh2MO9YRblB5cxYSmokdYcAHeQLAtQe5Dc9Hc7KF32pusV7ZeFWLJGEqbGpsKZd+1STN1Qx\nIOUsJpwdgcl4UD9+aYn0Glvx8utkZMqZ4W0TSxbVvry9oxPPz9kcjQwAehWpw23rKA2T6/dfWIRb\nn52fd6xcZrrRICorSxIt4qYWH5navslfOdMSKY/iWM7ymbRyJz7yl+lK9/aqKgcANLcl10DRnSDl\nTBNT7cfZEDOrdhlKFXh2tjxQqa14+XVWcsuZP0ns5JNIzudMYprYoxAHDQi4WpNnn3/FqUfq30wo\nY9bnrHQWBBTLj0v1OVFZzorymiEe0tNSzkp9FXaxIOVME1N9YpzV27la0wuZz1ncARu7DbbPmWTi\nSHVgD2JlsBXDx758Ae6+8UzP80lHNRRCXJj0OYsKz43PNWTfq/ghoYypPlfSZ5mwnIXbpcX7ZlM+\nhmGskHb9ve/To3PHbnv/iNAyEWJIOdPEWCOJUbmxxzA/nzPpQOc4/b2rTyVLmQZrdzVi+dYDANT3\nr6xQnBILajkDsoOOvXtEGjG50XoUVFWYXBBgLKn8dENqQkvr9+PcuyfixXlbcsfaOjrx1rLtgfs8\nU9OaUuXLwIKAUJYzn1uNGQVCTrteMGwAPnbucbljl48YbEAqQkR6e+KYiKJTLPb3tG2W9hvv2yRO\nZc5O6NwT+hecT/YwGS/v/+NUXPfANABdSrqsDqgOUEHz3bbcpcG640XSrbkmw4gkNQj06h3ZRRAz\n6rq2BLv/nTX4xlPzkFkdzH3DVLHK/GRV64/dRkYd3afgXJgpP7/Hm6rbYVNxW/hT3F0kHlLONImi\nkRS7gttWMb+BWOcjM5nDhBla2zsj9bFIQigNJyIx0hIZPOG6mVH5ir0gQLcGOOvh5r3ZVeR+2x75\nYarPtdO5YNgA4XnV/U/taU1RvxDKMuXTk5rqgkKF+ujWPX3yIOVME1MDdZwDyZqdjQD8pzV1/TPc\n13cXp9FTf/omPvvwrMjSz01rSoY/1foS+su4CHrYpBU7MH5hvfF0wwweDU2teCizNmJ3A3NpJ3VB\ngF1/ROnEreTnPoTAhH5j8zftQ53VN/rhp5xFNa1pTkENfi/nEGjp6fhwSyOknElwd9bmLGdd6RTT\nctbe0YlXFm0FAJSFcGx1nhcNaAdDbACcNGrXN0SS7s/HL8W2/YcAyOuAO4c/fu5Q8XUBq6f9/GLU\nxZufmIvbnl9oPN0wA88PX1yE301YqWw9CYJRy5m5pPLYslctVqIXIgUs7HubetfOLu3M029MZePy\nnHImeLGg48OKbQfw1MyNnuej+JjRRaSbjXDEs4zTj7o7QsqZhBfm5seWMhWmyVmPTX5Rylb1qYov\nu87ZEDmA04/tl3d+X3P3Uc6i4smZG/HGku1K1zrz+5rTh+An15/mdWUomUrV5+zA4ey2bFHGYTOZ\nclTj4N+nrjOepuqiFy9MGeHtUBBH9+3h2U9WKiy88bOcXRkwHM2190/DP+d6xzHctv9woHRN4y7D\nvj0qcfvVtGIzCkg5k1C/L79RdCQ8+qroay4IugubLjxpIGb/+P2w+7z2Tp741XNJYta6PfjZy0s9\nzztz8hcfPQODeleLr4tiwUpK9DVuoGlG+a5Gy6bITSvI4x6cUoc/vr0qvEXFUMadNTT7Afnbj5/l\nGQ5DZVH0cQOyu2l8+dJhBef++vnzA8vnh6mPJpHMqnR28lB+yoQekSlnjLFHGWM7GWNLHcd+wRir\nZ4wttP5d5zh3J2OsjjG2ijH2wajk0iUqX6q8ZA0OCDrTkb7XSbrjzc6toqxLh/TtkbcirYmMZ8q8\ns2InnprlPa3hxLeDDPh8O8Wkr3j0w4TsaXn9pJcT58Af3lqFP0+uyx0LulpV5U1VFEAOoLKcoXd1\nBSrLxUNfewfHjgP+Vqq+PbK7aXz6guMLztnWOQA4/Zi+UplU8YutpsNdHzk98L0t7Z3oUVlecNye\n+Ul2jUwfUVrOHgfwIcHx+zjn51j/3gAAxtjpAD4D4Azrnr8yxgprQQy427ypnZbyfM7MJJljT2NL\n6DRkfd3D09ZL02hqo+ZqCmd5+PXTYcfsKSvN7VYBAMcP7Gk0PT9MKiyz1u1Bc2u7sfQAsz45xW5Z\nqrKLFgSElVXl0apZaysSXsrOozPW46LfTsLK7QdCP8vkXqqmLGdhwrkcbusQxkFMi2U9bUSmnHHO\n3wWg6kl9A4DnOectnPP1AOoAXBiVbDq4O3xTA8CaHfJVQUHZd8jbZBV9vKwuGkk5M0ZeufkpZ0FL\nzuphbx57UuGpYClm07usML2oCFPbnO+4ff9hfGbcLPzgX4vCipSHWZ8zcWptHZ1oN7hXb+55mtfn\nBbHu8sMPhEqfq2Zd6/rbS9mZtiYbn23tziafZ2UTkik6Jo2bHoa+ouK0nD37tYvwr29ekneeFgSY\nJY4i/zZjbLE17WkHnBkKwOkNucU6FjvuWUxTytmXH6vN/Z3IKq3xnl4rT1tLZJProqAwsADhB4Rj\n+vUIl4ALU9MxKphqm4etjZ2X1ntbT4JQjNWaI37yJq7+01RzD7Kfpym7syzs/iHSICVKChzPaYhe\nTch2W/Hz3eWKyqbJuGDH9CueBdqLlvYuy9mlwwfjgmEDAXRZ8snF2CwVRX7eQwDuRrad3g3gjwC+\nqpMAY+wWALcAwJAhQ5DJZAyLmM/GTfmBE/fsaTDyzNa2LuvWb16aB3axucY3e3YtNvcW691Ohcnv\nPdZv2IhMZpvS8xYvXoKy7SsAACf2Yajbl31G86HDkZdPsSjWe2QyGTQ2NhY8b9/hLmvIzPfeQ58q\n8dAwZ84c7Oir5hGwp6HLt+bggQPIZDLCqejDLS2B379uzRrPc6bzdMaM91DZ3hwo3X37siFNFi5c\niPojsnnb2HzIqIwLFy5Ey2Yz3hr7WgqtY7asG/bo54Gozjmpra3FFo8+xcmKrdmp4B07u6bH7b/v\nfHFBgawqHDx4SHpNZupU6Ur1TZtawTs7kclk0NIidv1ob8/2y0uXLUffvauF16xdnx0Tpk+bhuoK\n5pl3Bw/656kO61YvR8ZDHlX8ZFGRs/FQC3bt2IZMJn9CbNOGbH5MmToV1QancidPmZLq1eNhKapy\nxjnfYf/NGHsYwGvWz3oATu/K46xjojTGARgHAGPGjOE1NTWRyGozo2k5sL7Lv6r/gAGoqbkodLqV\n774NWApa3b5OaL3HhNd9T1944YUYflRv4bnDbR3AxAkAkP9MV5onnHgCampGKclw1llnoea0IQCA\ncy9qw7/mbsavX1+BHj166L1XErHe0+h7+JRfTU0NMplMwfN2HDgMZCYBAMZedhkG9KoSpnP+mDE4\nwxXWxIsn1tcCu7IDZ9++fVFTcxla2juASRPyrutRXa3//pZso0aNBJYvEV5iss4DwMWXXIJVC2YH\nKqu/rZ4J7G3A6HNG46TBvYCpk1FeWRUoLc45MOGNguOjR4/GpcPN7EW488BhYMqkvGM1NTWB62uu\nznnk84UXXoDhRxVuV+Rm/8J6YPFCDBw0CNi5EwDQb8AgYMfOvAVCOvIdsfBd4OBB32suv+IKVFf4\nK74zm1egfMsG1NTUoOesycDhrNJ3ZJ9q7DqYVdaqq6rQ1NaKkSNHoeb844TprGRrgVUrcfkVl+OI\nqorC9mrlYa9evVFTc7naS0rq95lndvWxWjjSzckoeJZKeXRMehOnDDsBNTX5YXzWVqwHVi/HxZeM\nRb8jKgPJJuLCSy9H7+pi24+SQ1GnNRljxzh+fgyAvZLzFQCfYYxVM8ZOAjACQK37/jhwW7dNTZ04\nvwduueJkI2maxDdatct+7by2X89KjLHM3WTl1sdrekbFXwYAZq8LFzBXdYN1Vfx2oQjKhScNFB4P\nHf3c9bc9YOviJUeKI2moO9xb5e0Mo9MWgQ+cG6VFA46/vaqlfdhvVb5zpwHV54Ul7ilDznnW50yw\nIKDKspa1apSzyjR0c4u5BTntHZ14ZPr67MdnSogylMZzAGYCGMkY28IYuxnA7xljSxhjiwG8D8D3\nAIBzvgzACwCWA5gA4FbOeSJy0d0oTPmNOJ1J+/XU+NoIiYltgNybop8w6Ii83/abLd+diCJMFV7l\n4/Rf8dOffvXa8lDPN+0iFsWsxJ8+NRrfuWp4wXFTDslhP8BUFOywJNX3WqTctLYHV846OjlWbve3\nmgGqKzp5TqHyVM6Yd/T/XDq5BQHyZ5oi7tAprR2d4ByoFoTSqLIUNh0lXOV12gxqpP+cuxl3v7Y8\nkiDLURGZzZBz/lnB4Ud8rv8NgN9EJU9QCveQNJOus12bXuViotPwE6nd4bc2886rCpxVbcvOWxvN\nhiIoBbyy3VkeUTjZd23fZDbtKHxGvGQM04ycSUa13ZApB/GOTp7bTLxY6EreYchytmzrfqXrZHm7\n62BLXvgfL6uX3bTCxLM874T+mL9pn9nQKTErZy2Wgi0KpWHHjNNSzhSuMbnquMmywh3wiWSQNBKw\nQDfZNLlMq8amNWOKRK4cSsMnEeeUhWgVUQn7cIZGpROOQuFZsGmf57kwCltUqzVF7dDc5tDh0vG6\n39T4eu/bq/DJv80sOB52X0w/wqzWnO9Tt2SI6vro4/sXHJPJ596b0qtaMgXlTPas//z3Zbjm9AD+\nYT6ENSL97Qvnhbq/pc1SzgSWs0DKmUKFMrnDTBoD5ZJyJuFf87bk/b7Iw99Fn67eIYlTFH4iuX3O\n3JByFhxvq0sXtsIztH/8y+tlRFEXOOfCYNAm+vJXF23D9pD7GEbdnmfU7RYeH/u7KdE+WANTu9yJ\n6k+VYEWgLMvdSp48Rpm8EP2SYMxsPVi5TT+sy2/fWJH7+0NnHuNzpRzbV0tkObNXyersS6tmOTOo\nnOXCfSRwsPWAlDNNyg07TAPF1eaVfc58fS78MbmRe6nhbXXpOm472f/7W5cWRaYwClYUVj7Oo7Oc\nPVe7CZ8eNyv3e9v+Q/jL5DVGppVMtfM4Wpeqxd0u7nZD2plq/ZGVvdtS5pWqioJv1wW/fo6BGY1z\n9oBjGyxVxr1rzr/qcJv3tGZuVwiN11W5Nkwdam5tz5sSt+tRinQzUs50MdXgTPq4RIFfJyUbqCLQ\nX0sGzwUBztWa1khztOGAsV6EUbCimtZ0Tjtdf3bWKhBGgfIaaL/51Dzc+/ZqrN2lvqOHioKdNnS3\nRxJNC15/lr71RlT3RGUlk89dD72qtD0roDKVX0zLWdzYljPR3prITRnqWM4UpjVDWM6++9wCXP/A\n9JxbUpcCmZ5CoWFUgnvZvqlp8LhsS6ri+/ut+ePsPIuxjJ6IlnCWM3NyOHEqQNedaStn5p/T1Nph\nPU/9Hu8Vt6WDaLVjkN0nhPVHdEySuW5ly0v5suuVX51XqWeMJae8jxsQ3v3Bb0FAdJaz4Dk4e302\npJCt4NnFmZQyUYGUM10iWBBg0vwtQ/XLwU8mWRLODrW5lcJp6JDED7uNe5rx4BT9aRUgmmlNIN/v\nMcrtY4JI7ymGsXnN4n/a6dZLUz6BIiVKrJvJpjVdypnzXsettox+OWxf7ncNA0uMleYjo48NnYa9\npZko0G9UtTHMas1cLDpLw2E0rdkN4b4/A8OSviAgxIpPZz8oWzxA5OOVt3HXkT+8tQr7mlvlF7oo\nYwx/+dy5RmXhPN8ykzRnX89pzVR9t+ejK3tza2EYnSDlI7KciXRTWTfj3jjcTuPCYQPx9NcudKQj\nlzE38PvOa0qTKRoNjfrt1k3OclYpspwVBh6WoVIVmgR1SBV3OZYlrI9QgZQzTaIIpVHUBQFFSMTZ\naZlcDl0KqAShjYsgwUTLyoAPn30srjj1SKOy3HDO0Nzfdn2LouMNkqLXYBhFjMRiob5DQPb/puJJ\niSyvomNSP1gPRequj56OUUf3xZ3XjrLSUZdNVg7xt9gsK7fLV3oeksxw2KE0evhYzm58cEbolc5O\ndhwItkMH0NUXcLvLsi1nYYUqIqScyXC1wLg7WBVTed1OufPyT647zfd8uNWaXYQJ5liKFPPLTjd+\nWUsQ5Sw3nVD4XmGmfS4YNhDfvPIUfOD0IYlbifWDfy0SHk+KfFFi16imlsLB3lTd7ilwSpel7F4Q\nYPdL9nZlHzrzaAAOGX3ahsqHElMRqlgotPNbn53vez4XSkNoOev6e9UO+W4OCzfvw2k/nyC9Lsy0\npr3Q0y5Pu/jT1AZJOdPELttbnpyLYXfIN2P2Im9g5BzzNjYoKTIHDstNvd98ep6nlUOh78leJ32K\nN2V5ljNaEKCDV75H0anoKkc6e+fZ+PmchVXc77h2FB7+0phIO94gH1EHDoutRikaF0IjWhDgPKTu\n+1pIz6pC5UweSiO/JO2qZytt9nmVOqnShzLGElPe7qnhBz93Hn7zsTPzjs3Z4L8nb4tCKA1AbT/M\nySt3Sq8BwrWXnOXM+m27ET1Xuwn7m9OxSwApZ5rYhf728h3a93LO8fC767C7Md9c+2ztZvzXQzPx\nq1eXSdN4370ZpWfJOhl5EMZg57Jpd/39xpJt/hcTeSR5pV+gaU2fembKqFoWclpz/6G2UP4tbird\nDk4WDU0t0ukjFeII8qybtSLly1k+qmW/SjAlJ7KcyV0txLJUuDQX2zqstCDApyAYzIdt2Lb/UKD7\n3G3w+rOPwSfPP14rDb9QGs58aFKo36p+yCu2HQz8AWeXr2j17Z0vLQ6UZrEh5UyXEO1tSf1+/OaN\nFfifF/KnPWxlbZpH5G8nDU0hnTsV5fddrSlbEODo2n77xkq1BxJZvJQzq5O56ZIT844P6VttXIQz\nju0rPH7t/dPws5eXaqVlx7wTjVNBlanjB+aHBgi7IGD0L9/G4i3iPRyDpCiyLgDAj/69BB9/6L0A\nKaYP0ZjqPKaquHzz6cLptgqB8ht0WtNWXMoMx3xp7+zE5r3BlCmbez5+FjI/qMn9rl3vb91y4sxf\n1UUVfvgGoXX87TWl78RvU3kAGHV0HwBZK9efJ69RF9KBXdfc05pA9mMsDZBypsnK7fI5dS/smF+b\nGppRv6+w4ZYb/CT2XPVnHZc9yT8Ird6z/zlnU8HedoQY73LLct6JA/KOV0QQ8ff1717uee6pWRu1\n0vKznP3wxcXY09iClxfo1Q2vmFVJcW9cv7vJ89yKANvwJAHdHQK8Uin8Sx+RsiHrk3pXV+T9tq03\ndvMp2EHA5z0emCRXGN5Ysh0dnRyNCtN8XpxxbD8MG9wr91snLI0zP0RBe3VHmq7tm/wtZyrILGfP\nff3i3N+LNgfflxVwTEE73jgtO9iQcqbJ1NW7At9rVxSvzttkTCidqUfd+3U71h/9ewlue36h5l2l\nia7xJ6oI/Kaw5RMN7q8s2orzf/0Obv/nQl+FRkaXz5lZ7Wxw7y6rpI5Vbm9KfFrchNnsuwufaWzH\nrLhKes7y/NUNZ+T+FvWTsvJxtxO3z1lUA3ZTCOXMTe36Bgy743X84S35bERebggtZ/qLgcoYUCnY\n11Q352RlZTKSgf0oW7l0p59kSDlLECYrjfcWMqop+HXU/omkaUWMF40t7UY7VlV0y61C0FlODOAP\nGRWqzvpB/Nm6nhGN5YyxroGnu69rWbe/A6f8+I1In+Gs2yqWOOfq4AFHVOX+FlrOJGm5619HbrrL\nXhCQf96UsmYylJDtSP/glLXSa519tOhNdN+utb0TleVl4qDAmonprCsKm312nfvZeLk/d9KokF9S\n2phUsmWV2KQVRFappTF6QkxrdgfOvOutyLYe8sPP0w8o/OI974QBWLcr3+r09SfnYsM915sXLgDF\niMwd1b55nHepEEkKXhlFtVy+29+R28TbO9NQyU7n1m+MARNuz063P1+7uTBt2Qej63eny+csqpku\nO7K+Cao8fBlFON9XNO4UHJOURyfnnjM7uoqsX1u6atRRrgDt4Wqe6Fm6VsO4IMuZBFHV0K0wCzfv\nw7Kt+xW2PdKrNPaGzyK8ZFSVPEFjUWzE4cPkuVoz5zuRz69vPBOfHqO38sqmGJ2Uap0Ot39nNJYz\n5zRfd28PbRJrhgnFV1fBdVorGRhGHd0Xo47uK6wrUj9Y64K7PnI6AOAPnzwbpx/TFwOOqCx4lknC\nrM49tn/+XqSiKUUVhJvHazY4zr3bqG7bFdUD+93+8aUxeZ1c2I8izgtD26RDNSPLmTLH9uuBrVb0\nY93lvTc+OAMA8OI3L/G9TtdS079npec5qeVMFkojEcEbSg+drbGA7NL2c07oj3/OLbQmSJ9VBI2j\nGNZH+xGm36e1vTMX0DlJljPTjF9Yjzk7zEzh+3Ur/5nftfBDJTtFW3QBXjsE+Kdlnx59fH8AwFWj\nhuCqUUNy593xGE19twStN2t+c21BSBadxT95CwIMvAuHt1Kjm7xo/Jz3sw+go4OjrIzl+5wZmNa8\n8vdT8o6lxHBGljMZdprZpXEAACAASURBVIfvVGZEKy2V0pKc113O7Zeet++SWm0PM63ZfYexIuBl\nOfO5JclrAuyB9Nj+PX2vC/MKdrsxbTlzxmySLf/XYcoqtSCcXpi2eN72/EJsbex6P5FFXvXtqzxi\nvBWmJ0/ROYg731jsc6a4mlTpKrVdVlQIWieF21ZpjNYq+XHW0H6O6yXpce96p71aU9CW+vaoxIBe\nWb9CJrlWB84LF+gkuLvMg5QzCXM27AWQ7w/2QgArhQq605q+WyxJBvkwOwSQVS06vDpz0ZJwm6DO\ny8X0vbj7xjPkFwWkGJsam7TKfeWxOcbSioJTjuxdcOxbT8/Duwor1VX7BhWlxSvPRfVWWjyS80Nd\nHw+PTF8vSVCNoHXS+YZ335iN5r99v/pek/m7MYivefU7Y9GnR3byrLGlHY/6vDMH97ac6U5rSqaQ\nneVrwnLml36SIeVMEefXWtAtv+Q+Z3rp+S9916vVXxt7Ek45siumTqgdArSeTDiRxqdTce5VoKW9\nQ3kblTDYHxxHVEXnQRHlxuc2qhaQYuwlG3X7EqW/40ALvvK4XKl0L07xQqV/clor1zlCrYjqu6zs\nu9qPt/Xn0lMGSWVS5U+fGp19roE6eZoVlNW9s4wqfnnjPPWr15b7Xufpc6Ypj9sK/Y0rTvZML2zu\niZpjWsYnUs4UMR1BWkRleZnWlKnfMm25BSafn374dHzx4hMd18nWDXpz4qAj8Inzj5NcVVrsP9Sm\nFIBUd0EAEOxLcNY69WjjYVCdijGxIEC2P2AYVLecKYZyFjXeq/Lk/Pr1FUrPUMklr7wUBeuWReP/\n6uNzAfi/g0mDylF9ss78QatDno9dgLFHxXKWPafq5sLNTWu6MuWKU490ped8sFbSBYjeLyWGM1LO\nVDERIFbWEN5buweX3TNZOT2/AUNqRZCs4PGd1pQGEWT42fWn+16zbOt+7DoY7EswjXxm3Cxce/80\n6XWyvkhUDUV991vLtqsJFjEm4kUt8dhaqesZWR6cshZfntCEX7xiPqaRqs9Zd5jy9+rqihkkG3Ct\n1mTiv21uerRW6bm+m5UbtKnkptoDaGcb7rk+ry8Oku/OemgioDiHudWa7rbkli+vHEIWiej93lkR\n/YyBCUg5UySJTtcdPi3Lc0GAT3N0vuNLC+oLliB3pSFHZjG5/oHpuPpPUxVS6h6obtvjGQLFJ9NF\nneM3npqHVT5bjRWrOqu3G+8LP/fwLMkz8u99/L0Nqg9VRnV2qhiLOqP+8vcsM5PP1V2tCbmyMkVh\nmt5PATOarzk/yPBJBdnWL89y5htQXD09U9VCHkkgeNqFz0rvxxIpZ4o4nWT/NlUeoVlE2Gqy3Qrl\nYdPh41kZyC/M1Qms2SEe3FXqu0pA3bRsQFtMvBdy5JZyFJzzGqzC7OtnCtUpjwWb9npbZCVJBB1U\n6/cdUtqoGUhfJ69jgXfjVWYmP1BVLIzOPHc+20s+FZ+4Yk1p2W3SxF6qQWR25q7vPsmKoxKH37Sm\nhmDQsyaGtdameWcPUs4UufeTo0OnEbZ/f2xG/moaP/+WTs5x2T2T8YTbiuBngQkhmxuTUyDFJsr4\nXzKfJKnPmXBBgFdeez8ryuJxTt+qDuj/++Jiz1XQsiSC1rUf/2cJXpy3Rela1fHEXX5HVBVuFF0M\ngob7AYCMR6gPk9N+atOaDsuZ0wcrorprchWfXSd/9dry0Aqa6ENXtrWcsw/z+7Bw12uvvu/pWZvQ\n0NTqkYpevrn7QLeCKJvC1iFtH1VOSDnzwVmJelUHW2121/ilub9Dx2xx/fZbNdrJsx30XS7/m5z9\nJdSqP/l7JH1Dbj/GL9waWdovL6j3PS8NQqt4DIhnhwMg31qgM+BN8vAFkaWhE/8pKKpt111+83/2\nAeOyRLVJt82GPc3i5xq1nMnZ6fBJdb7z0X17iC4Pjckuy5nW1hCKcjatQsE27PFfFatqOXMXRJA+\nQzffpBufO8o6xd/4oSHlzIe2oDEzHDwxc2Pub9Na/Lkn9Pc898ysjZ7nvFDt9JWmNVPcqra5po9N\nsuOgf9pBqoiX5SiIM7JpnJK9dfsVwdKQTWsGjvOmfq1qXrrLr1pjP8SkUMaA/zqvcLW1UZczhYr+\n+X/M7nq24+GfGnM8/vr58wI9139BgDmcHxRhV/CK4vrKrMV52etrOeO+v1UIG4S2uiLfupzvcxZy\nWjPFljPavskHE8qZk7A+Vs4ObcLtl2PDbu+vpzkb93qkkf2/qNKrfgGpLQhIr3IW5Yq7SomZx+vJ\nXdOaolW2emkVE+cgMtKK16SLfFozULJaKE9run5HEvAy8gUBTHP6XJ8w+kpZGcN1Z3nvK+yH/4IA\n86s1gfDKmUgunTT9LjWinGle75T9jGP74oJhA7zTDj2tGe7+OInss44x9ihjbCdjbKnj2EDG2ETG\n2Brr/wOs44wx9gBjrI4xtpgxFuyzyDDtruWQv7YiNQfl288uCHW/s6JVlJX5WlmqJJvkhpnWTNLH\nyNL6/Rh2x+uYt7E4cbvCIlNavTeszx4X3W0n6fZv8utoo54ayz1H4zFe17q3Xym8L6DlTOPaIIOW\nCT/VOChj4tphdlpTLz9Vy1ge5sfnnI5AEpwfJX7xKFUQzUJI66Pias1CnzMdybLoh9Lo+vvGc4YW\nlK3Jckiz5SxKm/vjAD7kOnYHgEmc8xEAJlm/AeBaACOsf7cAeChCuZRxW86KNUVRu16saDjrWXkZ\n8+3evCKy+zVUd5csXznoz8gB+fkVhaP9XCvwqGrwSxWibM8VMuXM4/hH/zIDgN6CgCT0S8WY3S6G\n5UwnWKeNXyDmy+6ZjM0NYt+uuGHMo56ZfIhm3VR9dku7/2yHr3Km+JDyMoZPjzne9xqnciZfBOR/\nXjSFKU3TkcE6KxaDWc70aobzfd9eXhiP0dmfhbVmJqEPDEpk2gbn/F0Abi3jBgBPWH8/AeBGx/En\neZZZAPozxoLZrQ3S5moAxdqT66+ZOuFxZ4MrY/4V7+rTh/g+Q/gmhi1nN59Vnfdb1nEG4SjLOXjB\npn3G044CmYIfRIH1Uvj8g08Wp9dyDyzuaOBRPCMKgk5relG/7xCen7MpkCxRv23WciaaPje4WlPh\nms9fdILW9QAw6mcTQoSQUXu/ijKG/kdU+qekMa0p3dZP0GVIt6vKs5ypE8TIp205y9vQXlDPHH+H\n/fBattU/gHWSKba36hDO+Tbr7+0AbA1iKADnOvot1rFYaXdZzkx3ivams25mK2ytU8aYJLigx/SY\nT+NTdeIP+jXy1ylipTMMPWMKVRAUWaR5Wd6KlrPbK2Pd9/rVj7t99tEziVtx+sqlw4w/oxjfTKo+\nPmn+UrcpL2NChcBonDOVRUWOB+p8tBz0CJ4NmAlCy7MJ+aJlOZM8T2w5878nfz2Ajn9a+AosWzzT\n4REiRXQsbJX7+Xjzu4UUi9gWBHDOOWNMuyYwxm5BduoTQ4YMQSaTMS1ajq2NXS0gk8lgZX1how/z\n/HLeIT6ODmG6W7Z0LS2vnT0Ldfu8W+iKVWuEMu45lL1n1epVyDSvy7unflf+F+eCBQvQuKFQ+dl0\noEtuv/dvbm6Gs3k9MLkO51Vty7smbPkt2pmVuYyFT8tm/bpCBchU2itXrfY9X1s7B/1Ys+fz3lu4\nAkc25gdBXrY7Wx4dHfn1aeHCReioFzfx1TsKF5OovqNOXsyrnYlelV11wC4vEbt375amfe5R5QXX\n7GoubAcqMjY0qK/KXbZsOfrs9S87AHh6eVcblcmwceMmZDL622zt368WmuHfb07GoJ7639+HDjXj\nZFbYN7W3tRlrB+/NfA8De/jLttnR39XVrUWmQ83SOHvmTPT3SHvunDnY1kd8bs/u/Prg9a6dHZ3Y\nsmkzMpkdAIDGxsaCazcf7KqTy1euRKbJO3C52yfNndbew4X1e978BWje6P1heqC1K02RfF5MmzY9\nr726EaWzYX9+XZmcyfi6b+x1hBY5sH+fr2xTVu0yVucuH1qBafXZ/idKvcEUxVbOdjDGjuGcb7Om\nLe3ARvUAnJP4x1nHCuCcjwMwDgDGjBnDa2pqIhN2xbYDwPRsQM2amhrsW1APLFmYd430+RNe9zxV\nXV0FtBTuL1lRWSlMN3NgGbBxAwBg7GWXonJ9A7BIvMhg2EknAytXFshYv+8QMHUyRo0ciZoLTsi7\nZ0xLO/40763c73PPPRdjhg0sSHvZ1v3Ae9PxrZpTUFMzyvP9XnxzMoD8gSQni5UvYcuvddl2YP48\n9KqqCJ2WzTJeB6xZlXcsdNrW+w485kRg+RrPy8ZccAG2rZxX+Dzr/u9/fCyOH3hE3qke6/YAc2dl\n5z8cDiZnnn02akYe5SuPk7xn+tTby6+40j+OnXXvbe8fges/cGreqfblO4D5c4W3HTn4SNTUnO8r\n60vfd7uxAlv2NgPvTsk7plJeT26YA+xS22dv1GmnoeZcuTH/yw5Z3XXdzQknnODbfkRMWLoNKxvm\nK137P1MPYcM91yskmi9f71698PWPXQk2eF2eL2d1dZU0XwdPfwe7G+V75l588SU4tn9P32vealgC\nbM4qZKeccgpqrjjZV26bsWMvw+De1cJrL7zwAowYIl41/NzmucDOHbnfnu/69hs48cSusstkMgXX\nrt5xEJjxLgDg1FNHouaiE9yp5Djc1gG8PQEAcMLAIwrS2nnwMJCZlHds9OjRuHT4YM80dze2AJPf\nAQD0PKIXamquFF/oysOjRozGBYI+36+/nrOhAZg5M/d77OVXoEelt+L45xXvAXuz0QQGDhyAmpqL\nfeUK1PcK6sbQY48B6jcHT7PIFHta8xUAN1l/3wRgvOP4l6xVmxcD2O+Y/oyNnpXe8VdMEMaRsowx\nX3O11woh+x7Rs3u7Au3Kwjqcc7x3nLXsM6InZ4ZPSeSO+yd5K2aA3BdMtNoz95XqvtUjqQlLwzWt\nU378Btb7hHGxGX5U74JjQSZNZFH2g/qc6dx1+z8X4tVF0QUnVuXf8/2DGJvAW++W59hVo9R8ClXq\ngXN6TMdH0k9Kv6qiWo+4JJ1sWs7r/WV3TiVWCXxSRe4mOu4ROlOV//LYpcOP5tZ8y5nseTKfs6go\nls+4KaIMpfEcgJkARjLGtjDGbgZwD4APMMbWALja+g0AbwBYB6AOwMMA/jsquXQYNrhXpOl7xqfy\nXCXZhSwCf6vM+d5APU1CVbd9L0w6hR+Icc9P2coqUbHbdcHdYYsGhZb2DnzzaTXLix+rtsu3pBGV\nSRQrdou1Vdh3ngsXCscEuoGF3X6zKtj56R7MVHzO1Le5kl8oU0A80/Y9a8DnjHOpUuHMO9lr2MpK\nz8pyPHLTmILzYVdr6mRjeYDtNtxTmLLQIc6yL6a+lDLdLLppTc75Zz1OvV9wLQdwa1SymMK05u2V\nmteXR14oDcZ8G127xyhvYmz0C4jqRHT6vbW78Xyt/teZF3YHbqpoVm4/gL+/u05+YUQ8V7sJvZrb\nUeNxXjQoVFgdqrvDFo3LpnQjlU5cNJj79duz1+/xSMe/cIM6qpvurIuxI4OuwtLY0o7+R1R5nhcp\nSTnlzHVcJb+Ut7lSuCzPcqbx2kGd2pV3SIG8zjlPyxRRu6v+wQdH4sRBhQYBkbVcJ86ZTn7IQv2I\nuPSUQXm/pQsCHPJ84eITtZ8XFHeZJN2Slr69RYrMs1+7CLefl/VfMF2UuvGpJizrch4uK/M3l7sD\n6BY8Wy6e5+a6fgFRZc/4yUtL8Yqh6aGDh9tyHYGpslm9o9FQSsF4atZG/G2xt8+OqMro7GNqSjlT\n6cTF9dtbAK9gs9InJaSPlSlOxw/097FSeoamAnjwsGyD7MJjtt7tLj5beTl4uA23Pb8A+wXlpVq/\nVK5z5qfWW/tc7Dse64QSkn4wOCxnkvTs9/SKGy5qalqrNSXPdxJkT2TGWF6IoDbJ2OOU/YNnHK39\nvKC8trjLnSMNq6pJOZNw6fDBOOeorIGxWNMnXl9auxwbAZdJLWfha9+XH5sjVNC6LGf6aV5zhn/8\nNVU2NzTjrF+8jcdmrLdkMVM2CRnnPRHJ19yaLSOVjjXoVJEble25RPIEerxG2II4CbtNjwpSdwUX\nB3zCSgDigdsrP+3ifHzGBoxfuBXjphWuQFQOOaKgMnQEtJz5XRpWN+vy2fXHmYdPOfZXFmFbtrza\nr+i4znS1juVMFr/Ni1l3dk2IyepAXHv+OrdPNNUPRgkpZxoYXxDgkZ5K3WXMv8OSNRBVZUb05W2n\nLN2QWnC+pc1MINp6azn2oi3ZIINRD8/vrt6F8Qujd8aWInhR2zfyO1cNzzsuUvJNbWeiYjnTndb0\nQmcgNJuyHsXYKuZwmzj8jhcyC7qojjCPac0K1w7comlAZx64F1TlP9dXrIJr/JQ598pMv7T9+j2V\nPlH1w9R5fs1Of2t8zvrvqRQXHpcF2s3LO41qOeKoYPvfDujVNXXu5VKjej5K+liL3h6MIOamaUg5\n08D8tKb4uMpXpWz7Ji/lTNZQv+jyAfDfi07icyY4v32/emwpP9yR9k0pzl7pfOnRWtz2/ELxSQlL\n681FqRZ11IN7V2PDPdd7h81wwA31iypWOuGCgADrNWWDZjG2b1KhGJYz3UfILhed/9aVpwAozHfZ\nqlkgv3/pVV2OE1xhX1TlAtQtZ+59hP33lPVmj0IIEDtlqR+kRqXskFjORI+SKmcBFwSY+MCQfRCY\nmNUJyq3WB+z/veO/aj4JkHKmQbFCaXh9WDh3FKiuKPd1NN1xQKwEyfzF7lbY3F11xZ3oGRtD7ie4\naU8zht3xesH+o7sbCwPHBiGKpd2Pzdjgee78EwdopeUnnbtcREqNKXO+knJmaFpTbqUIVmam27OX\nclYz8khjm6DrDp6ytio6fY219Zs7f2zlzC9Fp3wPfPbcwHIB2bp6VJ9qvG/kkXlbOcnwndb0KfP3\n1ooXpDix309uzZUmlcOuN147tIgUQXf4Cjf5ljP1OmNEOZMoX20RbOOniuouOEmAlDMNdAcB2xfI\nOz3xcc8GYh22lbSCQIsO3l6+w/Oc37MLrvMWQ3tFQFVFGbYrRjf3Yua63QCA//fmyoJzMv8aFaJo\nu36d46NfvkArLb866H6KzrTmt983XHi867n5v1WmEsXTmgEsZ7LzCelvvZSzx79yoXAT9CBy61rn\n5JYzwWrNMvG0pjuwqEh+Z/meObSfz+yAnM5OjiP7VOOxr1zou+K0IG0DCkZVuXhoVJ3W1Jlqtz/G\nvaxtIheC9g6O6Wt2e6bpzAGdKmPC+nv1n6biqVnefnbuPatlmOjXbZLSV6hAypkGum1e9gXxww+K\no4N73eUe2GpGHol/fKkwLk5Bes5VTwYMJ6pxX93nj+7bw3NFniqNLd5fjCbaXRRtN+iXvPB6v+co\nlK2XM65MjsIN2+UPqwgQMykIUS0I6Oux960XxXAy1p0SkkZc0KicG3Y3Cfd2deIUL7uBejC5gGx+\nqlho3R8svj5nii28b0+xY3xu5iFAGCEvuqY1vdIqTOzv767FFx6ZjckrxR/heX2+hiuBqRnHP0wo\n/Hi2sRczHN1LLZPO/sXbmLVObtVUIchq1Lgg5UwD3a9+2aBx/dnHaD0n13ByX28MV58uX/0oanDh\nxjPFDsr1270DQRC8wnuYotiWM93H+csnr59ena872T+7pqSqK/KtJipNoUdlYfdy2jF95Te6kD0q\nqv72qL49tK53uiOMFuyeYUJ307acGVQYt+4/jGvue1f5eWWsq4945duX4Y5rRwmv86KjkwdSvP0X\nBKimEcxn10ZH7g6r4ujcY09rbt8v9pNzynn2cf47uTgxtZLSa2zYf6gt94Guo3ws2LTPgFSknHVb\niuHwC/jtEBDs+Z15X1G69wrkULWcuafCQta2VdsP4vla782PzRSP+cbrJ1el1+eyB34K8RFV8u23\nPD8wXOn2c1kO3Jaz5dvEOwS87oglJNpf79QhffD6d8eKZfBA1u6i2r5JN1Wn5ewjHh9eThqa2nDf\nxNVaA6LuSrcwTUL0/rsbW3zbv9tyZtOruiJvz0aVV+Y82GAatJ/MT0OMLOyFjU6dfPy9DQCAJp9Z\ngaDcdMmJuP8z5yhfbyzUjsfrT3S628SgJyUl7I4KpJxpYPKr9cfX6W14DHR1aPoKVuEdquZ90b3v\nrt4FQL/jDNswvv7kXGz1We0ZV/wcGX4WV92I3H5ZeNoxffHDD43M/RY9NugHhnvPv5+PXya87tZn\nu7aG8gqlcGQfb19JEbLxIqr+VrudOfJWVOZnH9cv7/dztZtw/6Q1mLHW23fITYdkJZybMNOal48Q\nb6zNu0z3ecc7Ozkmr+zaSJ4x7/FXZRYiazmTXiZI2/tcWMuZnbbMsVxH7qdnZT843fVDhUkrdgj3\nyrXFP+u4/gUfbX6EWRDw1M0X5v72+oh0fotGpXzs9ll1S5azboqo4votv/ar5rdccYq+ALZypr1i\ny/m33r3ud27v6MQDk7MxYo4fIF4m70XYQLGy5eMmVhpF0Xb9xNLtLGRXX3em02JT+GBPw5kkXdGG\nzDJEljMAOKqP5nShpFyDrrCVVcc6SXwqN045RQrCHz8ptmDoKMz6Pmf+1/tZmU4c1Asb7rle+Vlz\nNuSvoHaWi1sMJeWMq01ruv3gfN0INDY3//OkNQVhcOyy0llBfMqRans099H0cQSASSt3CvfKVd3F\nxY3oA1d1zHDOAng911mepw+Sh2YJwphfv+N5ztndvrbYzE41UUHKmQaiTvT8X7+j7Z8gG+hk8YR0\njR+iaU31L8j8306zd48qzSk5rasL8QtqCZiZ1oxivzW/AVD3eTqOyELLmUellC8I0O9IRT5nNsOP\n6q2cjnxaUzmpSHGKKZK5p0KcMD/W727CzoPyWFxOZE3C5BoG97Y9ZQyuRu/ohyTPbWnvQO36BiXl\n7JArMK9f0qp1hXPgjxNX48N/nu46rjqt2fX3qKPV/CzdQX7DEHQXF1G9DRQ42uO5znz79Ej1Fbgm\nqChjefUp7q36ZJBypoHXIOEVH0ektI0dPhjzfnq173MGeCwbr7CCLbZpbN2RlaPr7417mrTudX/h\nOn/qxIzp17MSV42SB0kNQzEitAfB7Sb0qxvOCJyWfMPlrgtE1dUrj9zWJ/dVhas15XhZzgDgne9f\nqZyOrFiD+5x53/eFi9Xjatk4+4coptjfd29G+x7ptGYAObzSdPvDlTGGXtaUmruIZAr3Xyzr/MwA\nq/T8F+DI68pHRh/rWX623LI65/yIUvWBqzT4laH7EW6j02cUPDPvMo9pTYdAxZ5i7FlVTtOa3RWv\nabWDHnFYRHV6SN8e6NPDf/+y+n2HhHvo2WZj3akNZ+P66uNzAcg3p7Vx7kfmTku1ovfpUYFFd12D\nozR9jdzIFhR86u8zQ6UPRBVKIz+vxw4X+/KoIN2VwWk5E05r5h+7+OSsk/aYYfnBcAf1yv9AUIkO\n7yaIQidCOq0ZQaFdcrJ+GTnzNinuj/IgtMEFdWe7u5wYA/7+xfPxg2tOxcmDe+X1h7Iy3SMJ2eGH\nX9IqXdbUVTtx0KOvt8tVtgOA87TqGg7dxUFRICoX1Sri7G+82qTqTMHE712B7119au7373xCcyjD\nKc5Zt8UrKrMkZmweH1Tc+HvCsu2uZ7cHtgyF+Rr67LhZeb+dX7zFXhAgU0w27gm3+wAQVSgN9zOC\nP0TnVlERL9yc70Pz/C2XYNFd1+Ayl8J45tB+ePZrF+FbNVnfyF4BwqAEec/Tfz4Bn/pbvpItW0HG\nGNPyjRLhdsYOUkR505oeMhf7w106rWnwWW6DPmMMx/bviW9fNaKgLrS2d3ruYgLo5dMN5xyb99vv\nnVTq5GGf/X9tZVYmn7OvO9jShvfdm8HLC/z35q0ol8ummi+dOTn9bxjhci8QT2tmj1175tH+D3Xc\n6iWn6gKoEUP6oHcAHzw/OPL7xKTraaScaXDTpcNw3ICeBce9vpJFX6XXnJFfwf/+xfOVnn36z98S\nbkKugkgOVSfkJpdC6rxNppzZhpOLThoEIB1fLVHI6M5qhny/wyW/uAaPfUVvpwAvnPKLFHDRtLY7\nbIbNpcMH577mTcSoU6G5tQO1DsdyzrlRvygnzrxyx3UL8sz8vSC9fPsKK1gUfo5dcvifF1nopWl6\nHO/QCPPxk5eX4qLfTvKMW6jzIXd0v/wFJu53dlr//ZJ987bL8eDnzsM9/3WW5zUdikqP8/SMuj1Y\nv7sJ33/Bf29eFcvZsEFqiwtyW0JJ+uiXbr0s77ffh7wodp8T561eH9JxTiu622RCjNuekHKmQb+e\nlfj9J84uOC4NGuvD0P6Fyh6Qr9U7K9WQvtV46b8vlScskSNoSIX8IJP+Da26nOGt26/IDXxhB6E0\nKHdi8vO6T48KTPvh+/Dad8Zavytzvjkywu4zecqR6o74AHIj3QkDj8B/1wRYYRySYk0Pnqg46PmR\nv1ozKZYz/wy8+fE52mn+fepaAPrt0SmJvRLWazZCRzlzKwLuvP/t6yuU0j3tmL64/uxjfBe/qIfS\nKDwvq8t+bgBfvPhEAMBTX7vIPxEL2X6dNu6PLlG9tfcGXrxFPRCsV72zrYMqwahT290bgpQzTURf\nBF4dsYojqPfcfNffTkXqjmtH4dwT9DbLFskXdIpUd1pz5NF9cqvUwg5Mss1+AXm4DRlRWDGcnfIP\nrjkVg3pXY0jfHjhzaNdUmvuxXgs3pF/sjr9NxDmrtpz6e1SW44cf0o/NF5YoF3n4ZWWQauAU1WvN\nTtCwH0GRZd+iLfv9LxDQYlnbCt9F/928+kiV/H/122OR+UFNwbXud3b2CSoS+q2mtxcKmNpb094f\nc9TRfXz7nrtvPBMb7rne82PejarlDAB+5GjXooUQ8zfuBSB3G3G6BnjVO1uen334NKlcprtit0hJ\nV/5IOdNEVGE8O8AQ44rXqru+ksUEIkQDXFDLWd60pnYYiECPxK6DLXhjybYCJ3UR9761KthDLCJZ\nEODI/+FH9VF6zT89UwAAIABJREFU7pJ68aApk885KHRyjp+PX4phd7yeO6YbAfzmsSfh2+8bjq9c\nNkzrPlPYdbe6ogz/92n1SOdhCTSt6QxZEzSgnGGKOXUTVqF1otK3nHVcPwwb3Kvgo8+t8DlXkaoo\nTU7lzH25+g4B0scAAOZuzE7hr9x+UO0GD9yx3nSUs1OHdFnTRf2DfUSWd86FbjsPtuAf09YVpqVo\neYyKhC7oF0LKmSaiKuW1skelHnhFS/fyHZKtEhLKYXBaM4wsIquBezWoiC8/Vov/fmY+yhjDRScN\n9L1250FvJ+O4cOa0V5ap9lU6cc7q9x7CkzM35p3XDfHw/9s77zg7qrKP/862bLLJpveEJJtKCum9\nsIEAIRFCFCUYERQNiEoVjYASXgQRFDsovKCCvAYUEJQSQshSQkkhlRTSNr33ttlyz/vHzNx7Zu6Z\nmXPOzN29kOf7+exn7507d+bMuac85zlPKczPxQ8u6hkYFiOTOPPqzRN64LKB7TN6r9dvHouSFubb\nm2Lf0OlfmZym4tA8Ro2qn/pc7RigN7akhYHxXFPUYjKFGS9fMMz3CiQmoTSC7xXPFPzsom2u90nb\nOIV6dC3oAoLQ6spTPxO2k1PXgnK5Mk22m8mQcKaJrNP95N+rpOeqDIx+0dLFu7gEIoMWFXVbc7Fg\noB33NtMpha3KHYdPAbDyOXpXiF5eXbk78PMwMr2t6ff7ee/rt/0VVjrx81/N/TTt86i581S9jW+9\noEf4SQqkNBWxXC6QXm2K0bONpdkUf458BS86QDGUhuS4n5ZUhxnjSqTHdx2uwLaD0byY/dus+73J\nes9vW1PL5ixkW1N0VFC5qmj75T3feca4holqzXRcfni9IB0hUsU70q0ISP88zhE/5UUafm7cI7G3\nXZw2cIapTUg400SnU/5yTvrkaHIf9+Sufy1ZhyvQmO2+KRgNx22grVKf4inrNVPq6BJWHJO4UOJ3\nfG0Mvd8xtcUJ+VxcGY/q2jzkYulcd66aU0Dr4mgx7RxUQwIAem0akAvAsp+3eZHas4gaGp1FzENz\n1mF3QM7YKNzx4kqMfXC+7+cqXriqY46oLZQZfMv6jq/mTGOc8y5svH2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QtGkTlJaO1CrX\n4BGj0ajQ6rc5n+4DFi+0yjl2NFYt/kBtnNbp0wDy35uLDu3bANu3Yvrws6RzHV+3F1hi5YwePnqs\nUo7Z2qbWtzUZY0WMsUbOawAXAlgF4GUAV9unXQ3gpdouWxSqA/Y1dTW4XVs2xOpd6YIZoLZF+tNL\nervee+MvmYTSiMPV23Hbl6Fi69DUjrvmeO6JQURzchjaNlYLlull9qJtGPvgfCyJsBUiQ7eeRSP0\nG/+xFFsPnAw4W47ftrtTuzWcR9qSCbm5Ft5f/KVlbi2euJ2oams4tr3aIGuaaLwgQCOUivPl//2e\nAdt0QaYRKtsvv/pKf5Q/MDn0PBHOeSxbajNfWIkFGyytro63Zo1PIGBdL8Z2TepL691ZrOngvY5o\n/7vloNUnVfvQpf3Tc9CK38yEt6Z4Ld3QId55bMofFqSuZdBSvvGXRcnXYn/Xye2sS4Jbz7T+votx\n7xQfJyGhMFG8pDNJXdictQbwHmNsOYCFAF7hnL8O4AEAFzDG1gOYYL/POvzaeulDZXh+yXbpZ7ph\nHoKEDJXQE0VeDyMxlEZNuEPAH786CBP7tHEd8w5GrbxaQgWCwiE8UrbR97O2dh7QwZ2a2texvbNq\n3HXRVAiaG2Y0KuIIZRtjtj/w1rNKMxBjQD2zUH9i8WufTrNJJLhxZgCHuPPv+eZuNJixJnVRE+K+\n/uRH2tcOQ9Ug/q7JZ0uPB9WqGANNnCSj2ixxHs3zUEbY84u2lX6LMpOck7JTzexrPf1WKOJfFpRb\n91Kss99OG4Dvje/m+7lz6Uytl1S6+lnNGiS9F72ysuhNO+PcEu37L/ZZ8BZqBmXXIcE5cpg1T6iM\ndYdOVGal7VmtC2ec802c8/72Xx/O+X328QOc8/M559055xM45/6xFeoQZ2BsXVzPtUo9XZ3AbRE9\nP+6cdDZ+OLFnoJZAZVr0DhyuILQ8fMCafE5b/Omqwe5rer5yp88EE0SeoXfgJfbqc3Anazs3JZy5\nRxJxW/mwRlLbKONiUAqgNGFU4cd74pqhEUrjT0JwCIhqX+Ebg0+zJsMWGialVJ3knATMugTlHlSN\ngfWtsSVY/tP0rdQgoff5j30Wfk6jMpzdrYnM0JHD5xfS0cz6ebmraCFlJUo7Ihz64iB5kN2g7wBy\nRw3VZ2SMBf40PKk5y4x0pnLd+gW5ePiKAejbvjiwDQ7oEF/mD9O5QIVEItwDWQy99O2nFmPCw2+H\nOnjVNtkUSuMzgfObB23RmfLtcSW4obQberUN2PpQ0Fp4Bw5xcKlJcKWo0V7iGDzyDYUCzjnqC2pw\nJ1q89zmGdknZ4u0/Hi244JMBWQhE/CJM3/LsMnzzr4tdx1RisYkJlb2Tn5rXb/DnNYbeupmgXp71\nm/qtbp1itmhYIP1chmoTqwySsjw0EGyegvpfIumtGH5N2fChmrjdz0vZhASP4mWrd1yGn+bMJNhr\nmObs7kv6KF7HO36ml1FngeM90x301fqfDfbouTk5wXHOsqCMKnAFBYT4k5bb5iNxxcqMCxLONHF+\nc78tusrqRFo0fd1GXVwYsDWj0H68DdMZXA4cP41TVTVp7uEq1I/BRsBEY5NIcBw+WeWqw64ti3Dz\nhO54dLpbuyfW26LN+orXlTuOJF+rTlh+g8CLS9M9C1Um0qBB5b8rzD1QE5yDc46lWw8Zp20SryVD\nt53/bGpfXH9uV4zrLo/P5xAlCTYAdJ75imX0LODVuqpeM2jyUt3WBOSLO9VQGrK4iabzZiKCzZnf\nY+oIe76aMwNbLFk7cX6L/h0aG8dIPCRZgEVZ4IjfnL1wa+TrBdFUIz9yLrN+jzdX78GB46fx4Sa3\nZ3jUBbrq4sOLbnYQZ1tTl5itNSJDwpkmTidyVv1ezvtVGfrf84Zr8Nfd7unQNMDmTOH76Wp561uP\nv2tF+X920Vat8gDpwRhN6N2uGPXzczHhbPUQdo+UbcA/l2x329wwhpsn9LC8Kz04sdBm/We1dvme\nFuPKKXZUHYFT5ZLiIO39Hf2iqYsU5OZgmMSbl3PgHwu3Ye3uY9hzNJpWMa5AlS0a1sPMi3uF1qGW\nlsLn1LmesDSmj7Bi+xH8/LU10olGR9sj15ypleFCwR40jl/CVGvjPGeUfIx+bWntbkuY1sqxKTmW\nfLYIgsXMF1b6X1eFgHsvt/NhZkoppVN/uTkMxyqq8K2nFuMbf12EaY996LlW3KVTQ1cxkODhmQVk\nfY2Es884nZo3QP+OTTDz4vRk5QCw/ZAVk0scsHQbdWF+rm/wRRPtizdFiGqH/f55KUPWONpto8J8\nrLl3IsZ2bxF+ss38dfu07uH3u+jCwZUCYOr8tEp5RCP2SMYYnrs+3d2dA1i180j6FwzYd0wu3AUG\nsDTCql29PIsxF8HDHS+uxJ/f3oRTEg+vQyctDYtKcWU2SyomC218wiKIlyvSCAtwrKI6suecjhbS\nS00igb1HK7Dv2GmXhmrOJ+kxHsPwVqmY/SDuZhFlW1N6ToySj+nPkcNYMp3RFomneF3tauo6MNVw\nHtoHGxam95G4HZ2iQsKZJvXycvHSd0djfK9W4SfbmHQ8P02VEw07iHRXcGDn4VOBHpEybruwJ+b/\noBRA+sQbZTBREVJeXLodLy3boTXRAGblkn2Fc+D1m8cl33dtWST97ry16eH4nlu0TXqutuZM4XxV\nEpxHyt2oQhQNigynKnQEVr868zOoV6GeRHg5KslY8NAcK+ipirG4bHJXEt69X3O2/4Qn/9qITrhj\nktoiZdeRU2jfxCwEDTPUnIljW3WCY9j98zD0vjcx8N65RuVwSDfnEBekkS6dpH2T+ujfsUm08U9y\nLE6tlF9e5jDyclnSFlPWPqNuvZqODrLH8bMpfuydjaisToSWdXiX9N0FEs4+Zzz1zWHS465UFQbX\nLZAIZzed3z0ZTiIImc3ZjwXVvM5CxBEG42y4Kle65dnluGn2MjTSFM7ijuHVxLbZmHdbqfRzb262\nIyer8MPnV0jPVanCTEWqvuqJhXhtVWazJsSdl8+piahG4YBcEwBYmvAwnp0xAiUt3ML5R5ste5yj\nFVWueGyAWnllk/ux09Wh2kfv92ShGPJzczDDDlIbRnUNl441foiCnNNUdX/3OcKip6YmcxOimEc4\nrl5VLy8HnRRyJYv4mZm8tz6VT7hJjDmDkwnoNceSHMaSHouyNhx1aDW1OZPNPWN+8Zb03PtftZIN\nhc0Dsv6XXaIZCWeR8YsEfux0yinApFHLBszpI85SCyqYky6ciQ1PxwYuaVfi6SBR+qlOH9WN3Gwi\n3MjqwynjGzePw/PfCYmKLbAvopeoO4BkpEu5WL7tcHLLIlMEBWLWRRzIdQTuHM2WGeaMAADdWzfC\nN8d0cR27afYyAMAXH3kf5z5U5i6D4Q/34Ovr8Ku5wXlh43YSr07oBaVuJGwHOc8ZFE5GRmdB0PUK\ndpxzbN5/wvsVJdKEoBg9k9ftPoZtB09i0/4TMQgp1v+vPWHF2mtcPz/W0BJz7OwwugvV3ByW3KKW\nFcckCK2I8fAgmS/CxrKNATlwfW+TXZE0SDiLSr5Pp7r3v2uSr00GiFsvSE9lZKoV4twjTGlcpsB+\nvtOezjCya3OjsgB6KxT9bU3hPhG0fc43WxUXJuOr+XFCMNSPYn8DxDeZfG2EQrqwmFhle7lGfHQX\nVTUpuxE9jz29+6gK834tSRa8MooA9e+lwblOgwKkmlBdk9ASDMTxzilKlO3s9zbsd71//N1NGP/L\nMqNreetm9qKtyWNR+9Vt/1yGG575GACw7aB+5g4Rx3PaISwdn4xrRnWWHj94ohLr7Tap+8i5jGGv\nbU8q8+iPOjQ5C/wihXRcIia7NrX1nUxCwllE/Ab3/YLRtEmjHtypKbp4tlJMt7y8rsU6V3FWykcr\nLE1g28aF+PLgDmjRUD9DgAn5AelyZIh1pDpnrNiRbiivI9j1uXsO3rcnmaAOPnVgeBBMrwAuhmW5\n/SJ57lEZsy7pg+sMInqb4GgLayJqzh6dnsrp94JgIxbHtqaXgWdZATW/PU6xjjTaQ5St6bB251cX\npnes1ox7+JWhHVP3dDRnEYQzr3C7cLN5CjVv1dzzn9WxOcHsOlyRfM6TmrabJS3duys1Ce4am0zS\n6c26tI/UsWqQYLene12x3cqe0VQ4+8gOyeG07aeulZsC+WHSukwWiiScfc7wG4grqt2hH0zwfs00\n7c7v5q0PDNEQRF5uDooKcpMG0FU1PLIK3m8COnwyPZ6QtmreFeBRrbN5Y2CZsLDciqvmd8vzerXC\nQ5cHJy0H3JPvidM16H/PG8n3xRp2KXm5OWhZSwK0U+ddWliTkF96ojCaCamrxNAXUeOcyWjbuBDd\nWzVUNobXGbYjCWea5ztJwVWSg3tZv+cYKmsSWpO46MG89cAJ7DlageoY7caiaLtl224mMR0BYMld\nE/DsjBHJ9wdOVKJhPauOZZ66QUzu19b1nvN4BIGHLu+Pa0Z19m1vP9L0XA9rtypFfvPWc9OOXWGH\n5HAE0ob19OzrTKrKZKGYXaIZCWeR8WvQS7ceTr42Haq9gonptuby7UciqaTz83JQnUjgd/PWY//x\n09pBAVWRRW3XnehEQVhlu8VvMojTswgA7rm0j5JQK6becrSVyc80y5KpwJb3TXUnE3Z+I8d54gvn\npCd71qWG8+TqV2dREvTIohCua48U1pbu+c8nyddRnFJk7eegTxYKALh2TBfcdkEPfH1k58Dr7j3m\nTle1bvcxXPDrd8C5XraT/kIKn8ff3Yzh98+L19YwwneDql33us0b1kNzT2YK0/6Um8MwpltKy1Uv\nP8clnL1u24jp0qZxIWZd2seVwULkwt5tpMf9COtnfiY8In422EBKINVdu1zSv234SQCueiKVL9dk\nvUCas88ZKgOxce46z9eirMhFoUXXsDOXMdQkOB6e+ymAzKSuAuQToK7WUayjsL6WSHA885E8IK9u\nP/3Nm+s75WszAAAZiklEQVSRSHDfFCCqGhqX5i+i92OmYn5NH94JfxFygDpFPm1rFEzvK/7WZev2\nJQVnHUVt0KlT/rAg+TqhEAtJ5IuDOgR+7iTEBqL1091HK/DAa2tdiwZxq8q7mCjMz8X3z+8e6nE5\n7L55rvc7j5xKvtbRnMnuE6eXbpQJMugxzDRy7gsmQ7sYjOd3fSGlTW5cPz/WgKd+cep0ixlUR6/e\nOFa5Xffv0BgAcG4Pt7ONM77rjun3T+2HxXdNCD3vXcH71WTszDLZjISzqKjIKaYLae9AGEUTImoN\n/meKWo45hwMnKl3fN8nNKeLXCWTbI9oG3hrbmj95aRXu+vcqvRsEcOhkpa+dm6r2R/yNvXk7dX/+\nTCVTti6eeumUOZmVwfC23snhrXVWDLkercKDASeLFXBvUTOrm1Oycf18ZY1x1Hr/09sbfbVlcc0f\nYgmjminEua0ZTc6Lt73L4kUCZuO5mFFm6dbDLkEiKn4xMVU0XSKvrvTX4Omsx5/+1nDM/0Gpq/72\nHz+Nx9/dBEB/8ZKXm4PmRer5dQF/gTUI0px9zlDRIpkOGY08e/NRVuRO5gIA6N+xScCZcj4WtmlN\nDFhF/LRLCzakD1i6Aqm4LRgWjNFPa2ah31ErqhORO7jYnLwDuK7GM5PR8sVLe9ul6SLCKyQ4VXmP\n5mJCDf38e7WZMD5qSBYdVPuz3/gTZ/DhKDZngdc1+I7f723SDrxxzL791GKDEsnxE87iSLnnoDP2\nFBfmo0uLIlc9DfnZm1i1w1rgm4xL0rhkAW2layt50PAgskw2I+EsKioNzXQl7bUliGuyjXqZ6A4B\n8uOyHHbOVqoqouZs64GT+N93N9Waivt0VU3kDh6nAJBJzZkYSsVbZtO7DjqrCb4+slPacZ1VcIGi\ndqsmwbXrOlMBgmX4xXHKxASiogl/94fjsfCO86Wf7TisH1pCDEQrEuX5gpPS618vzu7TtKgAC2ae\nF98FBfz6h05w4TBM6sLPqzWuMa7KR2Nb0qIIt0lCUYVBmrPPGSoToGlb7NXWvZ0T12Qb9Tr5GZyk\nTlfXpBnC6yBOoN/46yL87JU1KD+gH9TSpJtWVCUir/yDtBj625qRihKIuE2T5lVsbGPJcMuEHmnH\nda/XslG4l+r8dfuwUhJCJQjdEApR+Lpt3OxNdu+nddZFHANUNGcdmzVAcx/v3+v//rH2/Xv65Q6O\n8HxRYwx6iVtT6md3+vsrB0a6rp+GLOoOh4jJlT6wQ2h4MY064OWttfL8q18Z2tFIMM0y2YyEs9rA\nNGDroLPCUzX50atNI1w5TB6INOqYkxvV5kx47Q2Wesnv38M5s96AKeKA6iToPu9Xb7vihWWKmkT0\nqTNIcNatdZPgljr85Au9AaQPalEmNVnb0h3Lw7JKnDhtFl6hNjlqh4Doe/ecjN9r8Rbz2GJRkAVS\njeL4KfP2drhlQnft62VicfPgl9LD6YgesCb4OwTEqYWP7VKx7QD5LQoKDTWGpDk7w7hz0tkoLjTL\nm9a+qVlCYsBK2n3j+d2kn0XtG/kRvTWdPnDduBLcO8UdluHTPfppN0T8jLZ3Hj7lej9vjXzV5WAU\nW4fzyB6WcdKjdSP863r11FP617fc5t9et9elMYziMCJb7etOMk6AWT/iEs7q4reOa/4Qa1TXoN8b\nt8uU7q3Twy6IE6RO0GUguG5Ke7bSuhaQGbOAUd3SF+pRtx/jsi0LjtyvXxd+msJM226qmkG89N3R\nrvdZJpuRcJZporTDzs31jRpF/MJ8RO0cUb01L+5rxd/54qAOsQ+AftfzPvO1fws2yDXRgXlzmDqs\nv+9i7WvJMKmquLYQZDjt63dvbcA/l6Qi+kdpH3EM3Pdd1i/w87++Xx75HgBQcserkb4fJnzIHGRm\nagYWVUG3jfzssr7hJxkiTpAX9G6t9d2BHZvgpvO749tju8RSFr9qiWK6IHMgiyqcna6OZzs3SKgp\naaE/F71wwyjp8TiH/Pc3pvcR1YDMXsc40pydYUSZbMTOYjLH+g26UTtHVFuGzi2KUP7AZF+7ExlR\nJwTdZxZtqhyeuy5YC5VIcGkH13Vp98Mk8bBMQG/buDCO4uCwsFVcLiSrjqJZ9U4QQzvrb+2HDc5P\nf7hF+5qZYMqA4GC90//3I9f7l783OlKAX845Hi3biAMeT1BdG1KTbAQyZJoV0cNat9/k5DDcckEP\nNCty28Z9a4yZsOYdu/cctQL5RpnCZQuXqEG9txyIluvTwW+MvGxAO6NFXisf288oQZq9fPVxq49U\nC1vaYWYNIkvumpDMTPL4u5ux68ipkG/UHiScZZhxPdLzn5lgomHy6wQmk7ynMNG+b8DXRqR78flx\n9yW904794a0Nyt+/Y1IvnN9LfxukJsEzqxo3qHaZh6FqQNwwxCuLNn1xauviKqtIhWb6HR0GaISp\n0Y73FNGcYOm2w/jF62vxg38ud3Vh3XLEtY1W2rMVnrtuJAoEIUz8bUw1St4FUj87KKou3lopt4Wg\nKItT2cIlqubsPIOxSobfHGOeflD+vbiHyHW7j7nsDYs0hLPmDevhnkutUD3/WLgVN81eFnPpzCHh\nLMN00wigGUScmrOoFBeqN/664Buj01fKLy/fqfz9GeO6SusubIxavOVQRoUzk18zk+EfRJOrt9bu\nzcg94gwHAFjBMP1c8OPgmIansbPCb1NciGEKzhu628UtPN6VznbcYY9zTKtivRyscZoiDOvSzDWx\nfrIzFey6wFDj7N12jOI9LCPKbojsNzR9TocG9eLRZPoNFXGPIHHbau45WoHTQugZ3QC04u9ZHbPH\nbxRIOMsgcSqYjDRnMU3M3ynt6nrfTDNac7ZwKsOhEB6asy4Wu4VZI+Xbjo01Ep87ZFI4E3Mq7jpS\nEXCmHmIGi7i2hB2+93/6YR90uFkSCsSPRoX5eOu2c1F2eynuVEgWr/tbvvPD0mQqHev7Vl16HQBu\nPF/fk7E28MsZGUavNsWu96bClF91R7GplGkdowq7VdXxCDu+3t0Rivf414ekHdPRbMnoJTGHEQX8\nwny9MUPsV1HLFicknGWQuo4zE9f9fzTRbYTcvEhvpZ0tOB340bKNGbtHHMNk58bySUnXQBqQT0xf\nHhKcJ1KVTBnQntWsQfJ1HJqzCWen6u3DTQeTr/u2L5adbsxVIzrhkv56NmElLRuiMD9XKWuHbn9u\nUJDnsg9zvr9yxxGXaYPMvjIbqG+QggcAJvRujUenD0q+N5Xv/YSmKDZT3gDeF/XR79NeZPHdHhGe\nX5Vffrk/Xr1xbNrxKGYwLTzJ4++afLaxAHT9uZaSQCYci5oz3fYsCsxxZlWISvaU5HNInKt+k/Gg\nMD8XVwzpmHY8SjSuyf3aSlcunwWc7Y5fvL42Y/fIlMAyoGOT2LaTrhgqj3+nS5w5FUXEbZ44jJ17\ntkkP2QAAN5+vruVSIdMZBEyuLwqjYvOJK5htJolillHSMvWbx605i9Nc5ILebSJfQyacmZSwMD8X\nvdulL1g+9Akmq4K37qPsujhja67Ebq+yJrUrouvwJC4A49bURyF7SvI5xCT5qhcnYnrbxmaG0VMG\nmnt3iSz9yQV47rqR+OP0QRkNzxAXMq1IdYCtgyxtkBEZmvNMhb5MuocXS7ZZn/9O9Lhq+a7BMnpb\nu7hvW6lgM8FAEwmk23I5eBPVx01UhwDR+zOq2c/Y7umOTs2KCnCzQbDXTAwn4jVNta9+GqO4diQu\n7d8Olw+OrsWWBd+N06Rmx2FzD0bv+GMa8xNIpefyDgkcwF474PifrxqsPe+KAhkJZ2cIUQ09AaC4\nvqUCPsfQ40i2ajSZr5sWFWBYl8xGnI+Tyf3ShdKg3HtXKXiDqox3mRKGTJNLZ0q7BQAXSoSbKFkt\nHMQBcurA6JMX50C7JvGEDwGA0p4tpcf/o+F0YoKJ5kws6+GTKUeAVXbqqmdnjDAqi8wj+s1bz9Wy\nuXOIKnTKELXM3VrJNadh1Pj05eFdzDK+eDm7bTzb6tMkmvDR3eKJEhAVUYMJWIGxTXHGVm97+fmr\na5IhNQ4aLJBOCR7CJJx9TvFqa0xshLx8uucYAKBfezPhLE67t0wTV/wtQK5xCcq9pyL7OAPNb6cN\nwNp7J0rtMzIVNP7By9PTvqjgCPf18nLQO6bJwMG7zdqnXXEsW69xaMtEKmtqYnUGyWQQVgC4weOA\n42DSl/0WVA/NWQfAXLsv80I33dZ9+tphacd+8aXgQMJhiHVl4kgD+LfDWy6IZzs8rmC5w7o0Q/kD\nk12LpUYRNFRx0rh+vmvsOqt5g4Czg3Fy5vbwmCms3X0s+XrqwPba1xV/57i9w6OQPSWxYYxNZIyt\nY4xtYIzNrOvy6HCpbQxckJuDBTPPk64udbnknHbIzWHGwSc/C1uQDmW3l2b0+kHaJxUbnGZFBSh/\nYDKmDGiPwvxcaXotrxv/n742WL+gEvq0MxPOOzRtgFdvHIuVsy7CKzeOwab7J8VSHhlxrTpFjfPp\n6uhC1enqhNGK2o84zBVkdG1ZhM7NG2Cgj/bRJKftt8aUBH6ukiReFVOhenhJczz1zZSA9uXBHSLb\nRYq/UVGBmQF6o8J8zLl5XNoWaVTbwkn9LDszr3NAVB6TeEbGQdRFc1iwZVVmjC3Bb6cNwD2X9kXH\nZnIzH5O+ObIkpQklhwAfGGO5AP4I4GIAvQFcyRiLLuHUEo6h4mUD26F9k/qxdL5R3Vpg4/2T0Maw\ng0i3NaMWKkPE6TUm0+AExbdqVJiPa0Z1xvTh6pOCbDLyyn+mnf2LBitAP3q3K0ZBXg4YYxkV1uPS\neImrV9Nt4oeE1Xp1DU8LYuxMkKa8eeu4SN+XMe+2UpTdPt43VIOJYXtBXg5+c8UA38/bxRjkN0r8\nr3E9UtuvJ2MIEix6qUZp8z3bNHL16UYxhFr4/ZWDsPbeiZGv40dwjsxwHv5Kf9f7SRFzqca1bZ2X\nm4MpA9ojN4fh/qnRNKsimcihGgdZJZwBGAZgA+d8E+e8EsBsAFPquEzKNLSDAWZTii6Z27duHJhM\nc8+lfZKrq69qCEe6BAUIbd+kPmZd2gf3aXT6BgV5uNWzxfGbNz91vTfVJnWzk0I3rJenHZ6hrojL\nW1GsM5ntoApfHtIRH91xPq4e2QmjujZPRgF3OK9XNJMD2bbetYZpgrz41aKpicJlA9vjspi0FyJ/\nvsqtFY5LoxjHFrRpGA4Z4raobjJ2Gbk5LGPa199dORCv3pRubqGDuDV4x6ReuGNSeAy+IDLhxRyH\nPbfI768cCMDctjcTZNcsDbQHsE14v90+9pnA0ZzVyyLhR1y0rJh1If5yzVBjz89McfWozvjtNKtz\nOLZ104amhwDRoUDQPjjbzVMfeR9TH1kQ6bpevAE8RfsHAGje0Mx1fMbYEvzxq4OwctaFyYEj22lg\nuH3kxVlPtCkujGQD0rq4EPdM6Yu83Jy01fGOQ9Fz6P3pa4Nc7fQnX4hHyS+beJ67bmSkCV1md2Xi\nWSlyUZ82yThdnSLYEnnpIDEX0CVOu8UfC8nmpw3L3OIxDi7t3w6dmusnKRdhjOG+qZZd5YCOTWMT\nruIMwTS0c7NYBGWHS/q3w60X9MAYiRdyXcG8NjJ1CWPscgATOeffst9fBWA45/x7wjkzAMwAgNat\nWw+ePXt2xst1/PhxNGzo7/GzYEcV8nMYzm6ei7+vPo2p3QvQpig7BLQE55i9thITOuWjVYPaLVNY\nvck4cCqB/1tbickl+Vi4qxoHKjgGtMzF6PZ6Bq6HTydw8/xTuLJXAc4/Kw93vXcKRfkM9fMY9p9K\nYPdJjrHt89C6iKFpPaZ9fZE3t1Rh45EafLDTveLv1yIXtwyup73dY1JvdcW2Ywm8trkKVQmO6b0K\n0KQwehtLcI5/rK3EeR3z0bah3vWC6m5OeRXe3laFjo1ycOXZBWhST+/axyqtsbJRgfv3/HBXNc5p\nkYsG+fFMYgnO8cyaSiQ4MH9bNSZ2zsO0XtFsw45Vcjy3rhKDWudi3cEa7DnJcdOglKmEaZtLcI7q\nBJCXE21bEwB2Hk9g5f4ajO+Y51pcmbLreAKVCY5OxdG0VFUJjgU7qtG2KAc9m6Vf67PUX1XhnGP3\nCa7d//w4WcWRl+NeNMdRbzuPJ7D9eAL7TybQsIBhXIfscIQIYvz48Us456EGgtkmnI0EMItzfpH9\n/scAwDn/uez8IUOG8MWLF2e8XGVlZSgtLc34fT5vUL2ZQfVmDtWdGVRv5lDdmXGm1htjTEk4yw71\nTopFALozxrowxgoATAPwch2XiSAIgiAIotbIniyfADjn1Yyx7wGYAyAXwJOc80/quFgEQRAEQRC1\nRlYJZwDAOX8VwKt1XQ6CIAiCIIi6INu2NQmCIAiCIM5oSDgjCIIgCILIIkg4IwiCIAiCyCJIOCMI\ngiAIgsgiSDgjCIIgCILIIkg4IwiCIAiCyCJIOCMIgiAIgsgiSDgjCIIgCILIIkg4IwiCIAiCyCJI\nOCMIgiAIgsgiGOe8rstgDGNsH4AttXCrFgD218J9Pm9QvZlB9WYO1Z0ZVG/mUN2ZcabWWyfOecuw\nkz7TwlltwRhbzDkfUtfl+KxB9WYG1Zs5VHdmUL2ZQ3VnBtVbMLStSRAEQRAEkUWQcEYQBEEQBJFF\nkHCmxmN1XYDPKFRvZlC9mUN1ZwbVmzlUd2ZQvQVANmcEQRAEQRBZBGnOCIIgCIIgsggSzgJgjE1k\njK1jjG1gjM2s6/JkG4yxcsbYSsbYMsbYYvtYM8bYXMbYevt/U/s4Y4z9zq7LFYyxQXVb+tqFMfYk\nY2wvY2yVcEy7rhhjV9vnr2eMXV0Xz1Kb+NTbLMbYDrvdLWOMTRI++7Fdb+sYYxcJx8+ovswY68gY\nm88YW80Y+4QxdpN9nNpcCAF1R+0uAMZYIWNsIWNsuV1v99jHuzDGPrLr4FnGWIF9vJ79foP9eWfh\nWtL6PKPgnNOf5A9ALoCNAEoAFABYDqB3XZcrm/4AlANo4Tn2IICZ9uuZAH5hv54E4DUADMAIAB/V\ndflrua7GARgEYJVpXQFoBmCT/b+p/bppXT9bHdTbLAA/kJzb2+6n9QB0sftv7pnYlwG0BTDIft0I\nwKd2/VCbM687anfB9cYANLRf5wP4yG5LzwGYZh//E4Dv2K9vAPAn+/U0AM8G1WddP19t/5HmzJ9h\nADZwzjdxzisBzAYwpY7L9FlgCoC/2a//BuAy4fhT3OJDAE0YY23rooB1Aef8HQAHPYd16+oiAHM5\n5wc554cAzAUwMfOlrzt86s2PKQBmc85Pc843A9gAqx+fcX2Zc76Lc/6x/foYgDUA2oPaXCgBdecH\ntTsAdts5br/Nt/84gPMA/Ms+7m1zTlv8F4DzGWMM/vV5RkHCmT/tAWwT3m9HcAc9E+EA3mCMLWGM\nzbCPteac77Jf7wbQ2n5N9ZmObl1RHab4nr399qSzNQeqNyn2dtFAWJoManMaeOoOoHYXCGMslzG2\nDMBeWIL8RgCHOefV9iliHSTrx/78CIDmOAPrTQYJZ0QUxnDOBwG4GMB3GWPjxA+5paMmd2AFqK60\neBRAVwADAOwC8Ku6LU72whhrCOB5ADdzzo+Kn1GbC0ZSd9TuQuCc13DOBwDoAEvb1auOi/SZhYQz\nf3YA6Ci872AfI2w45zvs/3sBvAirM+5xtivt/3vt06k+09GtK6pDAJzzPfYkkADwOFJbHlRvAoyx\nfFjCxTOc8xfsw9TmFJDVHbU7dTjnhwHMBzAS1hZ5nv2RWAfJ+rE/bwzgAM7gehMh4cyfRQC6254m\nBbAMFl+u4zJlDYyxIsZYI+c1gAsBrIJVR45H19UAXrJfvwzg67ZX2AgAR4TtlTMV3bqaA+BCxlhT\ne0vlQvvYGYXHVnEqrHYHWPU2zfYC6wKgO4CFOAP7sm278wSANZzzh4WPqM2F4Fd31O6CYYy1ZIw1\nsV/XB3ABLHu9+QAut0/ztjmnLV4O4C1bm+tXn2cWde2RkM1/sDyYPoW1b35nXZcnm/5geSAtt/8+\nceoHls3APADrAbwJoJl9nAH4o12XKwEMqetnqOX6+gesrZAqWDYU15rUFYBvwjKQ3QDgG3X9XHVU\nb0/b9bIC1kDeVjj/Trve1gG4WDh+RvVlAGNgbVmuALDM/ptEbS5S3VG7C663cwAstetnFYCf2sdL\nYAlXGwD8E0A9+3ih/X6D/XlJWH2eSX+UIYAgCIIgCCKLoG1NgiAIgiCILIKEM4IgCIIgiCyChDOC\nIAiCIIgsgoQzgiAIgiCILIKEM4IgCIIgiCwiL/wUgiCIzzaMMSeEBAC0AVADYJ/9/iTnfFSdFIwg\nCEIChdIgCOKMgjE2C8Bxzvkv67osBEEQMmhbkyCIMxrG2HH7fylj7G3G2EuMsU2MsQcYY9MZYwsZ\nYysZY13t81oyxp5njC2y/0bX7RMQBPF5g4QzgiCIFP0BXA/gbABXAejBOR8G4H8BfN8+57cAfs05\nHwrgS/ZnBEEQsUE2ZwRBECkWcTvnK2NsI4A37OMrAYy3X08A0NtKwQgAKGaMNeScH6/VkhIE8bmF\nhDOCIIgUp4XXCeF9AqnxMgfACM55RW0WjCCIMwfa1iQIgtDjDaS2OMEYG1CHZSEI4nMICWcEQRB6\n3AhgCGNsBWNsNSwbNYIgiNigUBoEQRAEQRBZBGnOCIIgCIIgsggSzgiCIAiCILIIEs4IgiAIgiCy\nCBLOCIIgCIIgsggSzgiCIAiCILIIEs4IgiAIgiCyCBLOCIIgCIIgsggSzgiCIAiCILKI/wdM82ng\niGOOfQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "L92YRw_IpCFG",
        "colab": {}
      },
      "source": [
        "split_time = 3000\n",
        "time_train = time[:split_time]\n",
        "x_train = series[:split_time]\n",
        "time_valid = time[split_time:]\n",
        "x_valid = series[split_time:]\n",
        "\n",
        "window_size = 30\n",
        "batch_size = 32\n",
        "shuffle_buffer_size = 1000\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "lJwUUZscnG38",
        "colab": {}
      },
      "source": [
        "def windowed_dataset(series, window_size, batch_size, shuffle_buffer):\n",
        "    series = tf.expand_dims(series, axis=-1)\n",
        "    ds = tf.data.Dataset.from_tensor_slices(series)\n",
        "    ds = ds.window(window_size + 1, shift=1, drop_remainder=True)\n",
        "    ds = ds.flat_map(lambda w: w.batch(window_size + 1))\n",
        "    ds = ds.shuffle(shuffle_buffer)\n",
        "    ds = ds.map(lambda w: (w[:-1], w[1:]))\n",
        "    return ds.batch(batch_size).prefetch(1)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "4XwGrf-A_wF0",
        "colab": {}
      },
      "source": [
        "def model_forecast(model, series, window_size):\n",
        "    ds = tf.data.Dataset.from_tensor_slices(series)\n",
        "    ds = ds.window(window_size, shift=1, drop_remainder=True)\n",
        "    ds = ds.flat_map(lambda w: w.batch(window_size))\n",
        "    ds = ds.batch(32).prefetch(1)\n",
        "    forecast = model.predict(ds)\n",
        "    return forecast"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "AclfYY3Mn6Ph",
        "outputId": "02a3801f-9033-459f-c1c6-f930e65fc01f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "tf.keras.backend.clear_session()\n",
        "tf.random.set_seed(51)\n",
        "np.random.seed(51)\n",
        "window_size = 64\n",
        "batch_size = 256\n",
        "train_set = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
        "print(train_set)\n",
        "print(x_train.shape)\n",
        "\n",
        "model = tf.keras.models.Sequential([\n",
        "  tf.keras.layers.Conv1D(filters=32, kernel_size=5,\n",
        "                      strides=1, padding=\"causal\",\n",
        "                      activation=\"relu\",\n",
        "                      input_shape=[None, 1]),\n",
        "  tf.keras.layers.LSTM(64, return_sequences=True),\n",
        "  tf.keras.layers.LSTM(64, return_sequences=True),\n",
        "  tf.keras.layers.Dense(30, activation=\"relu\"),\n",
        "  tf.keras.layers.Dense(10, activation=\"relu\"),\n",
        "  tf.keras.layers.Dense(1),\n",
        "  tf.keras.layers.Lambda(lambda x: x * 400)\n",
        "])\n",
        "\n",
        "lr_schedule = tf.keras.callbacks.LearningRateScheduler(\n",
        "    lambda epoch: 1e-8 * 10**(epoch / 20))\n",
        "optimizer = tf.keras.optimizers.SGD(lr=1e-8, momentum=0.9)\n",
        "model.compile(loss=tf.keras.losses.Huber(),\n",
        "              optimizer=optimizer,\n",
        "              metrics=[\"mae\"])\n",
        "history = model.fit(train_set, epochs=100, callbacks=[lr_schedule])\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<PrefetchDataset shapes: ((None, None, 1), (None, None, 1)), types: (tf.float64, tf.float64)>\n",
            "(3000,)\n",
            "Epoch 1/100\n",
            "12/12 [==============================] - 7s 604ms/step - loss: 79.3289 - mae: 79.6432\n",
            "Epoch 2/100\n",
            "12/12 [==============================] - 4s 356ms/step - loss: 77.6025 - mae: 77.9456\n",
            "Epoch 3/100\n",
            "12/12 [==============================] - 4s 345ms/step - loss: 75.0294 - mae: 75.3777\n",
            "Epoch 4/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 71.9486 - mae: 72.2988\n",
            "Epoch 5/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 68.5473 - mae: 68.8979\n",
            "Epoch 6/100\n",
            "12/12 [==============================] - 4s 341ms/step - loss: 64.9847 - mae: 65.3328\n",
            "Epoch 7/100\n",
            "12/12 [==============================] - 4s 346ms/step - loss: 61.4695 - mae: 61.8105\n",
            "Epoch 8/100\n",
            "12/12 [==============================] - 4s 339ms/step - loss: 58.1538 - mae: 58.4827\n",
            "Epoch 9/100\n",
            "12/12 [==============================] - 4s 354ms/step - loss: 55.1324 - mae: 55.4492\n",
            "Epoch 10/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 52.4293 - mae: 52.7354\n",
            "Epoch 11/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 50.0465 - mae: 50.3450\n",
            "Epoch 12/100\n",
            "12/12 [==============================] - 4s 348ms/step - loss: 47.9855 - mae: 48.2800\n",
            "Epoch 13/100\n",
            "12/12 [==============================] - 4s 350ms/step - loss: 46.2026 - mae: 46.4946\n",
            "Epoch 14/100\n",
            "12/12 [==============================] - 4s 352ms/step - loss: 44.7008 - mae: 44.9915\n",
            "Epoch 15/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 43.4629 - mae: 43.7563\n",
            "Epoch 16/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 42.4297 - mae: 42.7283\n",
            "Epoch 17/100\n",
            "12/12 [==============================] - 4s 348ms/step - loss: 41.5160 - mae: 41.8219\n",
            "Epoch 18/100\n",
            "12/12 [==============================] - 4s 346ms/step - loss: 40.6779 - mae: 40.9926\n",
            "Epoch 19/100\n",
            "12/12 [==============================] - 4s 350ms/step - loss: 39.8902 - mae: 40.2143\n",
            "Epoch 20/100\n",
            "12/12 [==============================] - 4s 344ms/step - loss: 39.1337 - mae: 39.4679\n",
            "Epoch 21/100\n",
            "12/12 [==============================] - 4s 344ms/step - loss: 38.3574 - mae: 38.7057\n",
            "Epoch 22/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 37.4999 - mae: 37.8590\n",
            "Epoch 23/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 36.4614 - mae: 36.8280\n",
            "Epoch 24/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 35.3582 - mae: 35.7350\n",
            "Epoch 25/100\n",
            "12/12 [==============================] - 4s 360ms/step - loss: 34.2471 - mae: 34.6287\n",
            "Epoch 26/100\n",
            "12/12 [==============================] - 4s 348ms/step - loss: 33.2302 - mae: 33.6199\n",
            "Epoch 27/100\n",
            "12/12 [==============================] - 4s 354ms/step - loss: 32.2114 - mae: 32.6066\n",
            "Epoch 28/100\n",
            "12/12 [==============================] - 4s 347ms/step - loss: 31.3240 - mae: 31.7227\n",
            "Epoch 29/100\n",
            "12/12 [==============================] - 4s 356ms/step - loss: 30.5670 - mae: 30.9680\n",
            "Epoch 30/100\n",
            "12/12 [==============================] - 4s 346ms/step - loss: 30.0500 - mae: 30.4513\n",
            "Epoch 31/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 29.4792 - mae: 29.8943\n",
            "Epoch 32/100\n",
            "12/12 [==============================] - 4s 341ms/step - loss: 29.2023 - mae: 29.6147\n",
            "Epoch 33/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 28.6435 - mae: 29.0801\n",
            "Epoch 34/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 28.5520 - mae: 28.9969\n",
            "Epoch 35/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 28.2922 - mae: 28.7440\n",
            "Epoch 36/100\n",
            "12/12 [==============================] - 4s 341ms/step - loss: 27.9763 - mae: 28.4263\n",
            "Epoch 37/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 27.5422 - mae: 28.0023\n",
            "Epoch 38/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 27.1134 - mae: 27.5632\n",
            "Epoch 39/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 26.9710 - mae: 27.4343\n",
            "Epoch 40/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 26.9833 - mae: 27.4235\n",
            "Epoch 41/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 26.1409 - mae: 26.5900\n",
            "Epoch 42/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 25.6200 - mae: 26.0847\n",
            "Epoch 43/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 25.5947 - mae: 26.0638\n",
            "Epoch 44/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 25.4066 - mae: 25.8794\n",
            "Epoch 45/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 24.9945 - mae: 25.4612\n",
            "Epoch 46/100\n",
            "12/12 [==============================] - 4s 332ms/step - loss: 24.4322 - mae: 24.9142\n",
            "Epoch 47/100\n",
            "12/12 [==============================] - 4s 333ms/step - loss: 24.0959 - mae: 24.5685\n",
            "Epoch 48/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 23.8872 - mae: 24.3501\n",
            "Epoch 49/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 23.4193 - mae: 23.9016\n",
            "Epoch 50/100\n",
            "12/12 [==============================] - 4s 333ms/step - loss: 23.0463 - mae: 23.5124\n",
            "Epoch 51/100\n",
            "12/12 [==============================] - 4s 333ms/step - loss: 22.6978 - mae: 23.1679\n",
            "Epoch 52/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 22.3717 - mae: 22.8404\n",
            "Epoch 53/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 21.9212 - mae: 22.4039\n",
            "Epoch 54/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 21.4567 - mae: 21.9503\n",
            "Epoch 55/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 21.2488 - mae: 21.7416\n",
            "Epoch 56/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 20.8880 - mae: 21.3779\n",
            "Epoch 57/100\n",
            "12/12 [==============================] - 4s 337ms/step - loss: 20.9349 - mae: 21.4147\n",
            "Epoch 58/100\n",
            "12/12 [==============================] - 4s 331ms/step - loss: 21.1731 - mae: 21.6536\n",
            "Epoch 59/100\n",
            "12/12 [==============================] - 4s 337ms/step - loss: 20.5169 - mae: 21.0077\n",
            "Epoch 60/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 20.2004 - mae: 20.6985\n",
            "Epoch 61/100\n",
            "12/12 [==============================] - 4s 342ms/step - loss: 19.7558 - mae: 20.2489\n",
            "Epoch 62/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 19.6051 - mae: 20.1048\n",
            "Epoch 63/100\n",
            "12/12 [==============================] - 4s 341ms/step - loss: 20.2526 - mae: 20.6180\n",
            "Epoch 64/100\n",
            "12/12 [==============================] - 4s 332ms/step - loss: 21.8298 - mae: 22.2950\n",
            "Epoch 65/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 20.0344 - mae: 20.5010\n",
            "Epoch 66/100\n",
            "12/12 [==============================] - 4s 338ms/step - loss: 19.8413 - mae: 20.3550\n",
            "Epoch 67/100\n",
            "12/12 [==============================] - 4s 335ms/step - loss: 19.2233 - mae: 19.6374\n",
            "Epoch 68/100\n",
            "12/12 [==============================] - 4s 335ms/step - loss: 19.8518 - mae: 20.3470\n",
            "Epoch 69/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 20.8911 - mae: 21.3336\n",
            "Epoch 70/100\n",
            "12/12 [==============================] - 4s 332ms/step - loss: 19.7789 - mae: 20.3114\n",
            "Epoch 71/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 20.0997 - mae: 20.6617\n",
            "Epoch 72/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 22.0256 - mae: 22.5009\n",
            "Epoch 73/100\n",
            "12/12 [==============================] - 4s 343ms/step - loss: 20.1406 - mae: 20.3911\n",
            "Epoch 74/100\n",
            "12/12 [==============================] - 4s 340ms/step - loss: 19.8856 - mae: 20.4056\n",
            "Epoch 75/100\n",
            "12/12 [==============================] - 4s 326ms/step - loss: 19.3671 - mae: 19.9150\n",
            "Epoch 76/100\n",
            "12/12 [==============================] - 4s 335ms/step - loss: 24.5668 - mae: 25.1798\n",
            "Epoch 77/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 20.3807 - mae: 20.9050\n",
            "Epoch 78/100\n",
            "12/12 [==============================] - 4s 336ms/step - loss: 21.3236 - mae: 21.8123\n",
            "Epoch 79/100\n",
            "12/12 [==============================] - 4s 324ms/step - loss: 23.4973 - mae: 24.1804\n",
            "Epoch 80/100\n",
            "12/12 [==============================] - 4s 330ms/step - loss: 21.4505 - mae: 22.0003\n",
            "Epoch 81/100\n",
            "12/12 [==============================] - 4s 329ms/step - loss: 22.8129 - mae: 23.1917\n",
            "Epoch 82/100\n",
            "12/12 [==============================] - 4s 328ms/step - loss: 26.1930 - mae: 26.7929\n",
            "Epoch 83/100\n",
            "12/12 [==============================] - 4s 333ms/step - loss: 27.5889 - mae: 27.6906\n",
            "Epoch 84/100\n",
            "12/12 [==============================] - 4s 329ms/step - loss: 57.0122 - mae: 56.4861\n",
            "Epoch 85/100\n",
            "12/12 [==============================] - 4s 323ms/step - loss: 57.7061 - mae: 58.1530\n",
            "Epoch 86/100\n",
            "12/12 [==============================] - 4s 325ms/step - loss: 51.5218 - mae: 51.7742\n",
            "Epoch 87/100\n",
            "12/12 [==============================] - 4s 326ms/step - loss: 49.4597 - mae: 49.1312\n",
            "Epoch 88/100\n",
            "12/12 [==============================] - 4s 326ms/step - loss: 63.3244 - mae: 60.3740\n",
            "Epoch 89/100\n",
            "12/12 [==============================] - 4s 330ms/step - loss: 59.7555 - mae: 60.1709\n",
            "Epoch 90/100\n",
            "12/12 [==============================] - 4s 328ms/step - loss: 55.3084 - mae: 55.5208\n",
            "Epoch 91/100\n",
            "12/12 [==============================] - 4s 322ms/step - loss: 54.5066 - mae: 54.7503\n",
            "Epoch 92/100\n",
            "12/12 [==============================] - 4s 323ms/step - loss: 53.7672 - mae: 54.0108\n",
            "Epoch 93/100\n",
            "12/12 [==============================] - 4s 330ms/step - loss: 52.6478 - mae: 52.9221\n",
            "Epoch 94/100\n",
            "12/12 [==============================] - 4s 321ms/step - loss: 57.2889 - mae: 56.9231\n",
            "Epoch 95/100\n",
            "12/12 [==============================] - 4s 335ms/step - loss: 59.4641 - mae: 59.7467\n",
            "Epoch 96/100\n",
            "12/12 [==============================] - 4s 333ms/step - loss: 56.2535 - mae: 56.5364\n",
            "Epoch 97/100\n",
            "12/12 [==============================] - 4s 334ms/step - loss: 57.8982 - mae: 58.1364\n",
            "Epoch 98/100\n",
            "12/12 [==============================] - 4s 331ms/step - loss: 58.4549 - mae: 58.6909\n",
            "Epoch 99/100\n",
            "12/12 [==============================] - 4s 332ms/step - loss: 54.5750 - mae: 54.8093\n",
            "Epoch 100/100\n",
            "12/12 [==============================] - 4s 322ms/step - loss: 54.9520 - mae: 55.1922\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "vVcKmg7Q_7rD",
        "outputId": "14773dd5-ab46-469a-dc02-96f4b7607b07",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 290
        }
      },
      "source": [
        "plt.semilogx(history.history[\"lr\"], history.history[\"loss\"])\n",
        "plt.axis([1e-8, 1e-4, 0, 60])"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[1e-08, 0.0001, 0, 60]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 32
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KsISG+Hjg8p68fe9oEtu04q6/Z3Pvy8s5UFIW7NJEpB7q0tMvA8Y75wYAA4ErzWwE8Dvg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\nAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "QsksvkcXAAgq",
        "outputId": "be930f4c-30b1-4e16-92c0-4778fbca4c27",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "tf.keras.backend.clear_session()\n",
        "tf.random.set_seed(51)\n",
        "np.random.seed(51)\n",
        "train_set = windowed_dataset(x_train, window_size=60, batch_size=100, shuffle_buffer=shuffle_buffer_size)\n",
        "model = tf.keras.models.Sequential([\n",
        "  tf.keras.layers.Conv1D(filters=60, kernel_size=5,\n",
        "                      strides=1, padding=\"causal\",\n",
        "                      activation=\"relu\",\n",
        "                      input_shape=[None, 1]),\n",
        "  tf.keras.layers.LSTM(60, return_sequences=True),\n",
        "  tf.keras.layers.LSTM(60, return_sequences=True),\n",
        "  tf.keras.layers.Dense(30, activation=\"relu\"),\n",
        "  tf.keras.layers.Dense(10, activation=\"relu\"),\n",
        "  tf.keras.layers.Dense(1),\n",
        "  tf.keras.layers.Lambda(lambda x: x * 400)\n",
        "])\n",
        "\n",
        "\n",
        "optimizer = tf.keras.optimizers.SGD(lr=1e-5, momentum=0.9)\n",
        "model.compile(loss=tf.keras.losses.Huber(),\n",
        "              optimizer=optimizer,\n",
        "              metrics=[\"mae\"])\n",
        "history = model.fit(train_set,epochs=500)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/500\n",
            "30/30 [==============================] - 7s 227ms/step - loss: 37.8896 - mae: 38.6059\n",
            "Epoch 2/500\n",
            "30/30 [==============================] - 4s 128ms/step - loss: 24.3137 - mae: 24.8470\n",
            "Epoch 3/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 21.0376 - mae: 21.5412\n",
            "Epoch 4/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 20.2604 - mae: 20.7556\n",
            "Epoch 5/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 19.6226 - mae: 20.1157\n",
            "Epoch 6/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 19.2406 - mae: 19.7160\n",
            "Epoch 7/500\n",
            "30/30 [==============================] - 4s 126ms/step - loss: 18.8684 - mae: 19.3572\n",
            "Epoch 8/500\n",
            "30/30 [==============================] - 4s 123ms/step - loss: 18.6414 - mae: 19.1303\n",
            "Epoch 9/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 18.3319 - mae: 18.8184\n",
            "Epoch 10/500\n",
            "30/30 [==============================] - 4s 127ms/step - loss: 18.0562 - mae: 18.5398\n",
            "Epoch 11/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.9810 - mae: 18.4535\n",
            "Epoch 12/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 18.1221 - mae: 18.5999\n",
            "Epoch 13/500\n",
            "30/30 [==============================] - 4s 123ms/step - loss: 18.0651 - mae: 18.5252\n",
            "Epoch 14/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.7861 - mae: 18.2709\n",
            "Epoch 15/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 17.8317 - mae: 18.2976\n",
            "Epoch 16/500\n",
            "30/30 [==============================] - 4s 122ms/step - loss: 17.8733 - mae: 18.3504\n",
            "Epoch 17/500\n",
            "30/30 [==============================] - 4s 123ms/step - loss: 17.8476 - mae: 18.3366\n",
            "Epoch 18/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.4424 - mae: 17.9248\n",
            "Epoch 19/500\n",
            "30/30 [==============================] - 4s 127ms/step - loss: 17.3558 - mae: 17.8342\n",
            "Epoch 20/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.6471 - mae: 18.1257\n",
            "Epoch 21/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.5979 - mae: 18.0850\n",
            "Epoch 22/500\n",
            "30/30 [==============================] - 4s 127ms/step - loss: 17.2557 - mae: 17.7383\n",
            "Epoch 23/500\n",
            "30/30 [==============================] - 4s 127ms/step - loss: 17.4762 - mae: 17.9535\n",
            "Epoch 24/500\n",
            "30/30 [==============================] - 4s 126ms/step - loss: 17.4770 - mae: 17.9421\n",
            "Epoch 25/500\n",
            "30/30 [==============================] - 4s 123ms/step - loss: 17.5380 - mae: 18.0132\n",
            "Epoch 26/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 17.2549 - mae: 17.7340\n",
            "Epoch 27/500\n",
            "30/30 [==============================] - 4s 127ms/step - loss: 17.1579 - mae: 17.6354\n",
            "Epoch 28/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 17.2286 - mae: 17.7137\n",
            "Epoch 29/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 17.0821 - mae: 17.5609\n",
            "Epoch 30/500\n",
            "30/30 [==============================] - 4s 124ms/step - loss: 17.1587 - mae: 17.6405\n",
            "Epoch 31/500\n",
            "30/30 [==============================] - 4s 123ms/step - loss: 17.1101 - mae: 17.5918\n",
            "Epoch 32/500\n",
            "30/30 [==============================] - 4s 125ms/step - loss: 17.0714 - mae: 17.5552\n",
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          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "GaC6NNMRp0lb",
        "colab": {}
      },
      "source": [
        "rnn_forecast = model_forecast(model, series[..., np.newaxis], window_size)\n",
        "rnn_forecast = rnn_forecast[split_time - window_size:-1, -1, 0]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "PrktQX3hKYex",
        "outputId": "3126e6a2-6f0a-4501-a5ea-360aab623062",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        }
      },
      "source": [
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, rnn_forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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9rRxOuuSDeVOpGZEZIOvPx8clbWvFCQE9LcRZlFc22MI5M/tXmq9ZAK9SF1Rt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H2u1XJ9pCYJ40iNslH0rQEBb28pZli0jVPSJMu/8E8zsmJYddfpXDYltce6qOG5LIu4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\nfkSCMyGEEEIIPyLBmRBCCCGEH/n/pRwwxK0NdyYAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "13XrorC5wQoE",
        "outputId": "392b1fbb-cc0c-4c3f-b246-73de03c381dc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "tf.keras.metrics.mean_absolute_error(x_valid, rnn_forecast).numpy()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "15.40074"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "MD2kyYUVt3O0",
        "outputId": "4d4ce37c-ebd7-43cc-d0f3-761c37774bda",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 609
        }
      },
      "source": [
        "import matplotlib.image  as mpimg\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#-----------------------------------------------------------\n",
        "# Retrieve a list of list results on training and test data\n",
        "# sets for each training epoch\n",
        "#-----------------------------------------------------------\n",
        "loss=history.history['loss']\n",
        "\n",
        "epochs=range(len(loss)) # Get number of epochs\n",
        "\n",
        "\n",
        "#------------------------------------------------\n",
        "# Plot training and validation loss per epoch\n",
        "#------------------------------------------------\n",
        "plt.plot(epochs, loss, 'r')\n",
        "plt.title('Training loss')\n",
        "plt.xlabel(\"Epochs\")\n",
        "plt.ylabel(\"Loss\")\n",
        "plt.legend([\"Loss\"])\n",
        "\n",
        "plt.figure()\n",
        "\n",
        "\n",
        "\n",
        "zoomed_loss = loss[200:]\n",
        "zoomed_epochs = range(200,500)\n",
        "\n",
        "\n",
        "#------------------------------------------------\n",
        "# Plot training and validation loss per epoch\n",
        "#------------------------------------------------\n",
        "plt.plot(zoomed_epochs, zoomed_loss, 'r')\n",
        "plt.title('Training loss')\n",
        "plt.xlabel(\"Epochs\")\n",
        "plt.ylabel(\"Loss\")\n",
        "plt.legend([\"Loss\"])\n",
        "\n",
        "plt.figure()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 42
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DF0XEzsDrwAnZ+icAr2fLL8rW2xydArS+Gnze+1vy2YgY0+qYge77+46IXN6A\n/YH7Wz0/Eziz1u3qwv41ATNbPX8OGJk9Hgk8lz2+EjiqrfU21xtwN/C5gvV5S+BJYF/SUaZ9suUb\n/s6B+4H9s8d9svVU67ZvZD8bsy+9CcBkQHnub6t+zwOGvW9Zt/1953ZEAIwCFrR6vjBbllcjImJR\n9ngxMCJ7nKt/h2z4PxaYQgH6nJVJpgFLgQeAF4EVEbE2W6V13zb0O3v9DWBo97Z4k10M/F9gffZ8\nKPnub0kA/yPpCUknZsu67e+7z6a82XqmiAhJudsvWNJWwO3AdyPiTUkbXstrnyNiHTBG0iDgTmC3\nGjepaiQdAiyNiCckja91e7rZJyPiFUnDgQckPdv6xWr/fed5RPAKsF2r543ZsrxaImkkQHa/NFue\ni38HSXWkELgxIu7IFue6z61FxArgYVJpZJCk0o+41n3b0O/s9YHA8m5u6qY4APiypHnATaTy0P8j\nv/3dICJeye6XkgJ/H7rx7zvPQfA4sEu2x0Ff4GvAPTVuUzXdA0zMHk8k1dFLy/8p29NgP+CNVsPN\nzYLST/9rgNkRcWGrl3LbZwBJDdlIAEn9SPMis0mBcGS22vv7Xfr3OBJ4KLIi8uYgIs6MiMaIaCL9\n//pQRBxDTvtbIqm/pAGlx8D/AmbSnX/ftZ4kqfIEzMHA86S66vdq3Z4u7NevgUXAu6T64Amk2uiD\nwBzg98CQbF2R9p56EZgBjKt1+zvR30+SaqjTgWnZ7eA89znrx57AU1m/ZwL/ni3fCXgMeAG4Fdgi\nW16fPX8he32nWvdhE/o+HphchP5m/Xs6u80qfVd159+3TzFhZlZweS4NmZlZBzgIzMwKzkFgZlZw\nDgIzs4JzEJiZFZyDwApN0rrsjI+lW5edpVZSk1qdIdasp/IpJqzo3oqIMbVuhFkteURg1obs/PAX\nZOeIf0zSztnyJkkPZeeBf1DS9tnyEZLuzK4d8LSkT2Qf1VvS1dn1BP4nO0IYSScrXV9huqSbatRN\nM8BBYNbvfaWhr7Z67Y2I+BhwGemsmACXAtdHxJ7AjcAl2fJLgD9GunbAXqQjRCGdM/7yiPgosAI4\nIls+CRibfc63q9U5s47wkcVWaJJWRsRWbSyfR7oozNzshHeLI2KopNdI535/N1u+KCKGSVoGNEbE\nmlaf0QQ8EOnCIkg6A6iLiHMl/Q5YCdwF3BURK6vcVbOyPCIwKy/KPN4Ya1o9XkfLvNwXSeeL2Qt4\nvNXZNc26nYPArLyvtrp/NHv8V9KZMQGOAf6cPX4Q+A5suJjMwHIfKqkXsF1EPAycQTp98gdGJWbd\nxb9CrOj6ZVcAK/ldRJR2IR0VsEr2AAAAbklEQVQsaTrpV/1R2bKTgOsknQ4sA47Plp8CXCXpBNIv\n/++QzhDblt7Ar7KwEHBJpOsNmNWE5wjM2pDNEYyLiNdq3RazanNpyMys4DwiMDMrOI8IzMwKzkFg\nZlZwDgIzs4JzEJiZFZyDwMys4P4/yTzCS0vyvfoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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JJWFpWZEE1WnDqPQH393bpCYkEUmbrl3DRIaNGoWE8OCD8OOPMHduGBS4fHmY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\nSfl/ajIimPko3MQAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "AOVzQXxCwkzP",
        "outputId": "a68bf3ce-bb7d-4759-b51e-8eea04dc138d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "print(rnn_forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[1.80334488e+02 1.65932495e+02 2.21385651e+02 2.02602341e+02\n",
            " 1.95812378e+02 1.66568024e+02 1.72221893e+02 1.72351089e+02\n",
            " 1.71359238e+02 1.92315262e+02 1.79430908e+02 1.90465561e+02\n",
            " 1.70150406e+02 1.54548752e+02 1.45760834e+02 1.52615173e+02\n",
            " 1.56858536e+02 1.52650833e+02 1.31245773e+02 1.35252060e+02\n",
            " 1.27649216e+02 9.58357544e+01 9.90672379e+01 8.83868637e+01\n",
            " 8.30485153e+01 8.85051575e+01 8.65534286e+01 8.34583511e+01\n",
            " 1.14608894e+02 1.31056335e+02 1.32336349e+02 1.03073143e+02\n",
            " 9.93796616e+01 1.11037933e+02 8.51060486e+01 8.48528519e+01\n",
            " 7.69715576e+01 6.63921509e+01 5.09542046e+01 4.30102539e+01\n",
            " 4.26469612e+01 3.53892822e+01 4.97657166e+01 5.25579033e+01\n",
            " 6.69459915e+01 4.63514252e+01 4.48055305e+01 4.08606110e+01\n",
            " 4.48441048e+01 3.97551613e+01 2.68832245e+01 2.22263908e+01\n",
            " 3.32603378e+01 1.98383331e+01 3.29938431e+01 2.01695232e+01\n",
            " 3.07538300e+01 2.96630077e+01 1.91891308e+01 1.61151085e+01\n",
            " 1.49790630e+01 1.13105726e+01 6.95184612e+00 1.25114498e+01\n",
            " 8.35816765e+00 8.35663891e+00 5.78935814e+00 5.79682589e+00\n",
            " 1.16962347e+01 8.03432274e+00 1.20681610e+01 1.44447117e+01\n",
            " 1.35417757e+01 2.94974022e+01 3.03362312e+01 1.65208931e+01\n",
            " 2.06109409e+01 3.65144157e+01 4.15551453e+01 4.04895859e+01\n",
            " 5.55136185e+01 5.71473541e+01 7.38654099e+01 1.04196785e+02\n",
            " 9.85529556e+01 1.01231300e+02 1.45900040e+02 1.49653046e+02\n",
            " 1.48674088e+02 1.78597641e+02 1.60793045e+02 1.76005417e+02\n",
            " 2.15345978e+02 2.18692657e+02 2.04921768e+02 2.43032333e+02\n",
            " 2.29149796e+02 2.17396591e+02 1.98263641e+02 2.14212067e+02\n",
            " 2.20654266e+02 2.16180878e+02 2.44907959e+02 2.26471115e+02\n",
            " 2.09466293e+02 2.62323364e+02 2.63122223e+02 2.32738235e+02\n",
            " 2.47076920e+02 2.25964447e+02 2.12129639e+02 2.24748581e+02\n",
            " 2.24300079e+02 2.14740845e+02 2.13313644e+02 2.24360916e+02\n",
            " 2.29402786e+02 2.31637024e+02 2.16838806e+02 1.99786560e+02\n",
            " 2.19870972e+02 2.33072495e+02 1.94775742e+02 2.21829193e+02\n",
            " 2.00144699e+02 2.08412048e+02 2.09843536e+02 1.94290909e+02\n",
            " 2.28901260e+02 1.92416458e+02 1.65460159e+02 1.71025986e+02\n",
            " 1.66090714e+02 1.84573349e+02 1.55505737e+02 1.50474411e+02\n",
            " 1.63159149e+02 1.60443939e+02 1.57341064e+02 1.67280853e+02\n",
            " 1.73591751e+02 1.73301941e+02 1.35892731e+02 1.36431610e+02\n",
            " 1.28136902e+02 1.00352776e+02 8.78241730e+01 8.31630249e+01\n",
            " 8.49211044e+01 7.78040009e+01 1.02881683e+02 9.54657288e+01\n",
            " 8.53281555e+01 9.38234711e+01 7.08486710e+01 6.14621582e+01\n",
            " 6.10434227e+01 5.56720924e+01 6.86077499e+01 6.48660736e+01\n",
            " 6.59970856e+01 6.47290726e+01 6.22114944e+01 4.65568886e+01\n",
            " 4.21045647e+01 6.45580597e+01 5.24081154e+01 4.62037430e+01\n",
            " 4.42243958e+01 3.66657181e+01 3.61943703e+01 2.95667744e+01\n",
            " 4.08017769e+01 5.41507797e+01 4.84194908e+01 3.74645729e+01\n",
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          ],
          "name": "stdout"
        }
      ]
    }
  ]
}