{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4"
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "rYC_f2X0x5ux"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Simple Exponential Smoothing (SES)**"
      ],
      "metadata": {
        "id": "8hzAyMIm1WmD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"tidyverse\")\n",
        "install.packages(\"fpp2\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dWUdQW1p1UxN",
        "outputId": "5fc16804-106c-4e7b-816c-1342f4474de1"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘colorspace’, ‘fracdiff’, ‘lmtest’, ‘timeDate’, ‘urca’, ‘zoo’, ‘RcppArmadillo’, ‘expsmooth’, ‘fma’, ‘forecast’\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(tidyverse)\n",
        "library(fpp2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BiwUuT1p1Uz0",
        "outputId": "fd8e90f5-866d-48bd-c3ef-e51a54981278"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "── \u001b[1mAttaching core tidyverse packages\u001b[22m ──────────────────────── tidyverse 2.0.0 ──\n",
            "\u001b[32m✔\u001b[39m \u001b[34mdplyr    \u001b[39m 1.2.0     \u001b[32m✔\u001b[39m \u001b[34mreadr    \u001b[39m 2.1.6\n",
            "\u001b[32m✔\u001b[39m \u001b[34mforcats  \u001b[39m 1.0.1     \u001b[32m✔\u001b[39m \u001b[34mstringr  \u001b[39m 1.6.0\n",
            "\u001b[32m✔\u001b[39m \u001b[34mggplot2  \u001b[39m 4.0.2     \u001b[32m✔\u001b[39m \u001b[34mtibble   \u001b[39m 3.3.1\n",
            "\u001b[32m✔\u001b[39m \u001b[34mlubridate\u001b[39m 1.9.5     \u001b[32m✔\u001b[39m \u001b[34mtidyr    \u001b[39m 1.3.2\n",
            "\u001b[32m✔\u001b[39m \u001b[34mpurrr    \u001b[39m 1.2.1     \n",
            "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
            "\u001b[36mℹ\u001b[39m Use the conflicted package (\u001b[3m\u001b[34m<http://conflicted.r-lib.org/>\u001b[39m\u001b[23m) to force all conflicts to become errors\n",
            "── \u001b[1mAttaching packages\u001b[22m ──────────────────────────────────────────── fpp2 2.5.1 ──\n",
            "\n",
            "\u001b[32m✔\u001b[39m \u001b[34mforecast \u001b[39m 9.0.1     \u001b[32m✔\u001b[39m \u001b[34mexpsmooth\u001b[39m 2.3  \n",
            "\u001b[32m✔\u001b[39m \u001b[34mfma      \u001b[39m 2.5       \n",
            "\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "goog.train <- window(goog, end = 900)\n",
        "goog.test <- window(goog, start = 901)"
      ],
      "metadata": {
        "id": "vkV4cHzC1U2a"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "ses.goog <- ses(goog.train, alpha = 0.2, h = 100)\n",
        "autoplot(ses.goog)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "sxPcX-y61U47",
        "outputId": "db0af534-dd70-462d-c403-50007262fa50"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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QAAQBS8Xu+///1vIrrqqqu6du361ltv7d+/P9WNAgQ7AAAAiNxzzz33+OOPE9HQ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RaWlpJI8korCMCJI8kRSO3eHDh10u18CBA8Uavfs/l+MAACAASURBVF7vcDiefvrp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\nAABAnCDYAQAAxIn/A0bcUOhAjGGAAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "goog.dif <- diff(goog.train)\n",
        "autoplot(goog.dif)\n",
        "ses.goog.dif <- ses(goog.dif, alpha = 0.2, h = 100)\n",
        "autoplot(ses.goog.dif)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 857
        },
        "id": "3ghwWzbf1U7c",
        "outputId": "636b5841-164f-47ec-b020-6b433a3c66c8"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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iNDM8cgJQBIr6CdqzUGKaAYJIuSAqSX\nGSRS6CCVZpAMJQlIbV2tMUgBxSBZlBQgvYQ2rtYYpIASIJVikAwxSAxSMDFIFiUFSC+itas1\nBimgBEglMSI0cwxSAoD0AoNEYpCCikFSegE3ulpjkAJKgFQCw0MzxyAlAEgH0crVGoMUUAyS\nRQwSgxRMAqTiDJKhpADpeQaJ9AeANCw0cwxSAoB0gEEihQ5SMQbJUJKA1NLVGoMUUBKkoaGZ\nY5ASAqQWrtYYpIASIBVlkAwxSAxSMAmQijBIhpICpOfQ3NUagxRQEqQhoZljkBIApP0MEil0\nkNIYJENJAtINrtYYpIBikCxKCpD2oZmrNQYpoCRIg0MzxyAxSCYxSEHFICUASM+iqas1Bimg\nBEiFMSg0cwxSAoD0DJq4WmOQAopBsohBYpCCSYBUiEEylBQg7cX1rtYYpICSIA0MzRyDxCCZ\nlFwgFWSQDCUFSE+jsas1BimgGCSLkgKkPWjkao1BCigBUgEMCM1cMoF0W1ehPhkZv9w9pP/C\n8wySg5ILpCsYJEOZAWnYPnHB/2ZkLJ753em7xv07cUDajYau1hikgJIg9Q/NXDKB1PuoAqfb\nt6JX6vFhIoHUwNUagxRQgUE6tf6kw9EkAumfXe+ZOHzZqYy3e/1HPBr/pPjnrd27d7/wi4/+\nkfEPv1Myo39k3tqzaOT21G8ZFy/p3dj0z1Ct/Zbx9zDN/R6qtX9m/O0KDAxw4XasdTj6+98u\n9Q2Z9a+MX8M0929/a7/GD9LPg1afOLFg0K8Hh9KjOQ+IfybUr1//Jt+e7L+uF3H9f/stXJbK\nj2EBrnoU60J/J/99GSOdOKN2f+/z4kH57UmQEqRHegYN3Z7iHimoRI+UL1CPtBkrHI4mUY+k\nNPbxd5Vrt0s/4uc9/vfHSDtxnas1HiMFlBgj5UV6gAs3YonD0SQaI32//veMjIt9Xv3fbl9n\nZPyl+6cMUqwYJH9twGKHo0kE0l/7rzl7atmwf2Qsn/TdqQVT/pNIINV3tcYgBZQAKU8gkNZj\nkcPRJAIp49u5/QYuPpeR8bc1gwcsi17o9xL/fZCexLWu1hikgLoEkBY6HE0mkFzk9xIMUmBr\nWRyk3IFAugcLHI4ySAkA0hOo52qNQQqowCCtw3yHowwSg2RScoGUC/0CXLgW8xyOMkgJANIO\n1HW1xiAFVGCQ1uAOh6MMUgKA9DjquFpjkAJKgJSKvgEuXI25DkcZJAbJJAbJX3djjsNRBikB\nQHoM17haY5ACKjBIqxgkBslPyQVSTvQJcOFdmO1wlEFKAJAeRW1XawxSQF0CSLMcjjJICQDS\ndtRytcYgBZQAKUcgkFbidoejDBKDZFKygdQ7wIUrMNPhKIOUECDVdLXGIAWUBKmXwxP7Wpzw\nvPBOTHc4yiAlAEiPoIarNQYpoARI2R1BmozdnhcuZ5ASFaRtDBIpdJCyOYI0CU95Xrgc0xyO\nMkgJANLDqO5qjUEKKFeQJmKX54XLMNXhKIPEIJmUXCCloKfDExOx0/PCpZjicJRBSgCQtjJI\npD8JpAk+IC3BZIejDFJCgFTN1RqDFFACJOAmhyduw5OeFy7GJIejDBKDZBKDFImMxxOeFy5i\nkBIVpIdwtas1BimgLmb8rxtIOzwvXIiJDkcZJAbJpGQDqYfDE+PwuOeFCzDB4SiDlAAgPYiq\nrtYYpIC6mPE/ziCNxWOeF87HbQ5HGaSEAKmKqzUGKaA8QHrU88J5GO9wlEFKAJC2MEiksEGK\nAN0dnrgV2z0vvAPjHI4ySAkA0mZUdrXGIAWUK0hj8IjnhXMx1uEog8QgmZRUIF0Aujk8MRrb\nPC+cg1sdjjJICQDSA7jK1RqDFFAeID3seeEcjHE4yiAlBEiVXK0xSAF1MeO8M0ijsNXzwtkY\n7XCUQUoAkO5nkEh/AEhdHZ64xQekWRjlcJRBSgCQNuFKV2sMUkBdzDjnDNJIPOR54e24xeEo\ng8QgmZRsIHVxeGIkHvS8cCZGOhxlkBIApPtQ0dUagxRQFzPOuoG0xfPCGQxSooJ0Lyq4WmOQ\nAsoVpBHY7HnhDIxwOMogMUgmMUgE0gOeF07HcIejDFICgLQR5V2tMUgBdTHjjDNIw3G/54XT\nMMzhKIPEIJnEIEUiw3Cf54VTMdThKIOUACBtQDlXawxSQF3MOA10dnhiKO71vHAKhjgcZZAS\nAKT1DBLpTwNpo+eFkzHY4SiDxCCZlFQgnQI6OTwxBBs8L5yEQQ5HGaSEAKmsqzUGKaBcQRqM\n9Z4XTsJAh6MMEoNkUlKB9JMzSIN8QJqIAQ5HGaQEAOkelHG1xiAFlASpo8MTg3CP54UT0N/h\nKIOUACCtQ2lXawxSQF3M+NEZpIFY53nhbbjZ4SiDxCCZxCBFIgOw1vPC8Uh3OMogJQBIa1HK\n1RqDFFAXM34AOjg8MQBrPC8cxyAxSH5ikCKR/ljteeFY9HM4yiAlAEhrUNLVGoMUUBczvgfa\nOzxxM+72vPBW9HU4yiAlAEirUcLVGoMUUK4gpWOV54VjHPdCZ5AYJJOSCqSTbiDd5XnhaMe9\n0BmkBADpbhR3tcYgBdTFjO+Adg5PpGOl54WjHDfMZJAYJJMYpEikH1Z4XniL4z5/DFICgLQK\nxVytMUgBdTHjW6CtwxN9cafnhSMdd1VikBIApLtQ1NUagxRQHiAt97xwpOMeFgwSg2RSUoH0\njTNIfXxAGuFYep9BSgCQVqKIqzUGKaAkSG0cnuiNZZ4XDncsdMwgJQRIaa7WGKSAupjxtRtI\nSz0vHO5Yn5VBSgCQVjBIpD8JpF5Y7HnhMMeSKQxSAoB0J4NEChukr4DWDk/0xCLPC4cySAyS\nnxikSOQmLPS8cIhjyRQGKQFAWo7CrtYYpIC6mHECuNHhiZuwwPPCwY4L1BmkhACpkKs1Bimg\nXEHqgfmeFw5yXA7IIDFIJjFIkUh3zPO8cKDjKiYGKQFAWoaCrtYYpIC6mPEl0MrhiW64w/PC\nAY454wwSg2QSg0QgzfW8sL9jqiuDlAAgLUUBV2sMUkBdzPjCGaSumON54c2OiUUMUkKAdIWr\nNQYpoFxB6uIDUrrjNC6DlAAgLWGQSGGD9LkbSLM9L0x3nH1ikBIApMXI72qNQQooCVJLhye6\nYJbnhf0cY30MEoNkUlKB9JkzSJ1xu+eFfR37MQYpAUBahHyu1hikgHIFqRNmel7Yh0FKXJDy\nulpjkALqYsanQAuHJzphhueFvR3xY5ASAKSFDBLpTwKpI6Z7XtjL8SoGKQFAWoA8rtYYpIC6\nmPEJ0NzhiQ6Y5nlhT8erGCQGySQGKRJpj6meF96EGxyOMkgJANJ85Ha1xiAF1MWMj91AmuJ5\nYQ80czjKICUESLlcrTFIASVBcupb2mGy54Xd0dThKIOUACDNY5BIYYP0kTNIbTHJ88JuaOJw\nlEFKAJDuQKqrNQYpoC5mfBgMpK643uEog8QgmZRsIDmNdtpggueFXdDY4SiDlAAgzWWQSGGD\ndNwZpNa4zfPCLmjkcJRBSgiQcrpaY5ACSoLkFDa4EeM9L+yChg5HGaQEAGkOg0QKG6RjbiCN\n87ywMxo4HL0cQfrpbxknf7u8QMrhao1BCihXkFphrOeFnZIGpNz7MnCUQQqipALpAzgGslvh\nVs8LO+I6h6OXI0h5Bh3Gljc0XQ4gzUZ2V2sMUkC5gtQSYzwv7ID6DkcvR5D6w6TLA6RsrtYY\npIC6mPE+HGeEWmK054Xtca3D0csRpN/3P4z5WzVdDiDNYpBIfxJILTDK88J2qOdw9HIESaj1\nCX+AEgek25Hiao1BCqiLGUedQWqOWzwvbIu6DkcvU5AyI7+XyAogwdUagxRQEiSnHIXmGOl5\nYRvUcTh6OYJ09bKMqw1dDiDNZJBIfxJIN/iA1BrXOBy9HEFqtCajkaHLBKQLbtYYpICSIDkl\n+9yA4Z4XtkZth6PeIJ3IxBuT1rIESJmU30tkCZDOu1ljkALqYsYRZ5CaYZjnhTeilsNRT5D2\npjycmbfGIMWjACBN5x6JFDZI7zmD1NQHpFao6XDUE6R7fTZKj7WWJUDKZ1LqZQIS90h/CEhO\n6adNMNTzwpao4XDUE6SNWJKZt5ZVQOondHXO63v1qJtSf/xlAtI5N2sMUkBdzHjXGaTrMcTz\nwhao7nDUByTv/Z1jrWUJkIR21TpD/31Z7dnLAaRpDBLpTwNpsOeFzTMP0gafbWljrWUVkGrt\nVP/fV+dyAGkqcNbNGoMUUBcz3oFjHndjDPK88AZUczjqCdJ6n900Y61lFZBSX9Z6plwMUmbE\nIEUijTDQ88JmuNrhqA9I3psAxlrLKiCVHiD/+0+/UpcDSFOAM27WGKSAupjxtjNIDTHA88Km\nqOpw1BOke3z2Lou1llVAmo/aExYvHlcdt18mIJ12s8YgBZQHSP09L2yCKg5HPUFa57NTTKy1\nrALSf1aUojUURe/41+UA0mQGiRQ2SG85g9QA6Z4XXo/KDkc9QVrrs8FFrLWsApJA6Yf33v32\n3/4YJQJIkxgk0h8AktNaVz+QGuMqh6OeIK3x2eAi1lrWASl++b0EgxTYWtYG6U1nkK5DP88L\nG6GSw1FPkFb71OWPtZbVQNq4/jIB6ZSbNQYpoDxA6ut5YSNc6XDUByTvcuKx1rIaSNkvi6Xm\nAqSf3KwxSAF1MeMNOFZfqI8+nhc2REWHo54g3e1TBTnWWlYDafeuywGkiQwSKWyQDjuDdC16\ne17YABUcjnqCtMqnCnKstawGUjzye4n/PkgTgB/drDFIASVBcipjci16eV7YAOUdjnqCdJdP\n8dZYawySrxikoAobpNedQaqHnp4XXodyDkc9QVrpU3My1lpWASmnvowif6mOryQ8SLcBP7hZ\nY5ACyhWkurjJ88L6mQdphU+pvFhrWQWkcQ1Rq1fv2mjav3XBlOcuA5C+d7PGIAXUxYzX4FhY\nqw56eF54Lco6HPUE6U6fCl+x1rIKSC+Wfp3+e7fC0Yz/a9zkMgDppJs1BimgYkD6SVuFXAfd\nPS+8FmUcjvqA5F1PJdZaVgGp3hb1/6ZWGRlP5kt0kMYD37lZY5ACSoJkqlB3Ip82aVoH3Twv\nrIfSDkc9QVruU08l1lpWASnXi+r/g/kzMvZekeggjWOQSGGDdMgC0jv6POw16Op5YV2Ucjjq\nA5L36vVYa1kFpLLp/5H/jymW8XvHBokO0lgGiRQ2SK9aQHpLn4ethS6eF16Dkg5HPUFa5rPo\nNtZaVgFpPmpPXrlq+rW4LeMm7LgMQPrWzRqDFFASJFPN1Df16SM/kGqjhMNRT5CW+qwVjLWW\nVUD699IStIyi0JTfMtY85s1RAoB0K4NEChukVywgvaFPH9VEZ88La6G4w1FPkJb4LHGKtZZV\nQMrI+M+Z4+9+HcdqpEQAaQzwjZs1Bimg7CAd1qePaqCT54U1UczhqCdIi31WZsRayzog/c/+\nB7Yc/CuDlDklG0imKt6v61HvGujoeWENFHU46gnSIp+VGbHWsgpI/56ak1y7fCsvC5BGA1+7\nWWOQAupixssWkF7To97V0cHzwuoo4nDUE6SFPgnlsdayCkgrcdODB/bf3x7bLhOQvnKzxiAF\nlATJVA7/VT3qXR3tPS+sjjSHo54gLfDJg421llVAqj5F/T/q2ssBpFEMEilskF6ygPSKHqyr\nhnaeF1bLPEjzfdL3Yq1lFZByaZmqz+XxB+n/fPS3jL/7nZIZXcy8NdEjfevy1N8zfr20t2PV\nP8K1lvFLmOZ+C9cahb+viT5+FV3UH9XQ1vPCq1HY4ejvf/W4ZAFuytyb+2fGz5m7wFv/8rf2\nF2eQ8u1T/+/N7w/SP330r4x/+Z2SGf0r89bGA2fdrIX75v4drrWM30M1F641WmpeJ/r4bXRV\nf4gxkueF1VDY4eh/vN7cMvTM3Jv7j+9dmTlz/qf85gxSs1byiYvtWvqD5Nfp/fddu5GA205V\n7NoF1cWMF2He6egFPcZQFTd6XlgFBR2Oerp2d/jM8cZayyqu3XMp5ccsXnRL6WwvXSYgfelm\njUEKKAlSzejjg/rQqCpaeV5YBQViD952lxdIc30i6jHKMiBlPF2Nwt+1fZYiJQ5IX7hZY5AC\n6mLGCxaQDqCt+qOKD0iVcUXswXw1vUCa4xMIjFHWASkj4/SRo+fiwCgRQBrBIJHCBumgDaQ2\n6o/KaOl5YSXkjz2Yu7o3SG0z9+ayEEiXU2aDAOlzN2uXP0jG8PAPAMm0995z+tCoMlp4XlgJ\n+WIP5q7mDVLrzL25LAPS5ZXZIED6zM3aZQ/SmmyvaX+FDdLzFpD26R7dVWjueeGVyBt7MFdV\nL5Bm+3iLMcoyIF1emQ3DkxmkaXhC++sPAMm0996zukd3FW7wvLAi8sQeTK3iBdIsn04uRlkG\npMsrs2FYMoM05Q8D6YAFpL36zX4lmnleWAG5Yw/mrOwF0kyfTi5GWQakzGQ2+L3Efx+kocCn\nbtYue5Am43Htrz8WpKf1m70imnpeWB65Yg9mv8obJG82Y5RlQMpMZoPfS2QJkD5xs3bZgzQJ\nj2p/hQ3ScxaQ9ug3e0U08bywPFJjD2a/0gukGbg+c28uAEjre1xwfS44SJdXZoMA6WM3a14g\nfTbdbRmTm7IgSBOwXfvrjwVpt94RVfS568s5gZStghdI09Eoc28uAEitXbNfOLNB15CAIC3H\n5ky+UhYE6TY8ov0VNkj7Yd6ffJfOTwU09rywHHLGHkwp7w2S09aAHgoAUivX7BfObNA1OCBI\nC7Apk6+UBUEah23aX2GDtM8C0k6dn3I+3UcZ5Ig5dgHlvECa+ieA1MJ10p4zG3QNAj5ys+YF\n0lzcl8lXyoIg3YqHtb/+WJCe1Pkph4aeF5ZG9phj51HWC6QpjvvHeCgASDe4BqR4NwpdAqQP\n3ax5gXQ77s3kK2VBkEZjq/ZX2CA9awFph85POZ/uoxSyxRw7h9JeIE12LDLuoQAgNXX1Wng3\nCl0DA4I0DRsz+UpZEKRReEj76w8A6ero48d1fsr6gFQSKTHHzqCUF0iTzOWK4lEAkK53vUd4\nNwpdAqTjbta8QJp0OYA0Eg9qf4UN0jMWkB7TN5Qt67izbFQlgJhjp1HSG6TaHs86KABIjXDM\n9TnejUJJgOT2JXmCNB7rM/lKcYN06tEzcVgLByQ99PgHgFQ1+vhRfbOkso67JkUlQIqZsTmN\n4t4g1fB41kEBQGqAD1yf44UzBYAAACAASURBVN0olAYEBGn0HwfSOsPh8rIWBkjD8YD21x8L\n0nZ9HFPGZ0BTHDhvP3YKxbxAmmiesJLa6e6HkQKAdB2Ouj7Hu1Eo9Q8I0kjck8lXihuk5dgQ\nh7UwQBpqxPDDBmkvUCX6eJs+jiltLq3voGLAOfuxn1DUC6QJZh+S9HWKd1mhACBdi3ddn+Pd\nKJRuDgjSkD8OpGXxdHahgDTYiOGHDdLTFpC26tUiS/lEBoo4gPQDiniBdJv5hUif+Kw9DwBS\nXbzj+hzvRqEkQHLzfz1B6o91mXyluEFaGg+joYA0yIjh/9EgaQGBkub6qw5KA87aj32PNC+Q\nxuMq64GPfdaeBwDpGrzl+hzvRqGUHhCkvlibyVeKG6Ql8TAaCkgDjNDjHwvSg3pJoRI+ITYB\nUkyg5SQKe4E0DldaD3zks/Y8AEg18Ybrc7wbhZIA6X03a14g9fzjQFqENXFYCwOkmw0nMmyQ\n9gCVo4+36JG14uYiXQ4qDJy2H/sOBb1AGosK1gPHfdaeBwCpOl53fY4zG5QESEfdrHmB1A2r\n43uBeUW0NPFMgBSH6VBASv8jQTJ5XJv1yFoJc0kUBwmQTtmPfYsC3iCVsx445rP2PBBIh1yf\nY5CUBEhH3Kx5gdQJd8f3An30iE/cIC3AKv+TQgGpn+FE/rEgPaDnCxX3mfQpBPxkP/Y18nuB\ndKt9I/RjPmvPA4B0NV5xfY5BUuoHvOdmzQuktvHc7aReesQnbpDm4y7/k0IBqY/hn4YN0m4L\nSPfrIepiMZM+VhUEfrQf+wr5vEAaY9+/+X2ftecBQKqMl1yfY5CU+gbskVrFC1IPvK3+iBuk\nO7DS/6RQQOpljMbCBmmXBaT79NnZoj4gXeEA0gnk9QJptH3/5qM+a88DgFQJL7g+xyAp9QnY\nI90QT7dB6qqHTuMGaS7u9D8pFJB6GqOxsEF6EqgUfbxRjzwUMeeEOyg/8IP92Ank8QJplH3b\n2fd86kIEAKkinnd9jkFSEiC5zVp7gtQ4nm6D1AVvqj/iBmkOlvufFApIPYxuNWyQdlhA2qB3\nT2n2NASbBEjf2499gVxeIN1i3y3zXZ/l7AFAKo8Drs8xSEoCJLdZa0+QGmBFfC/QSZ+DyARI\ny/xPCgWkbka3GjZIj8M8vbNef5BmzsBzUD7gO/uxz5HqCtK5dwRItr3J3vFZPBgApHLY7/oc\ng6TUG/oYJtaaF0h14/G/SO1xWP0RN0izscT/pFBA6mq0BmGD9KgNpIrqjzR7Po9NAqRv7cc+\nQw5XkO7EwZEoZD32ts+apwAglcEzrs8xSEq9AvZINeMFqW2mQbodi/1PCgWkLsaHCBukbRaQ\n1umTpoXN07QOyuMA0qfI7grSNOwYYd8J5k2fNU8BQCqJva7PMUhKAiS3PCpPkKrFM5AhtdZn\nxeMGaSYW+p8UCkidjA/xB4BUMfp4rT5pWtieGGdTHtse8/e2PR35BNlcQZqMx0bYN7B4w2fN\nUwCQSmC363MMklLPgCBdFS9IraAVqo8bpBlY4H9SKCB1NEZj8YC0MI5lUkoXM7ZaQFqjg1TI\nHIJwUG7b1tjdcSzyEeAK0gQ8Otxed/+wz1KNACAVwy7X5xgkJQHSm27WvECqEE9EgNRCTy+J\nG6RpmO9/UiggtcdS7a94QMoWd7meixkPwpwCd7eefVDInmFqUy7bRqRd8X7kQ8D1Xh2L7cPs\n5cJf98kwDwBSEex0fY5BUropIEhl4gWpWaZBmoo7/E8KBaS2RlgjDpDO+bT0Jl3M2GwB6S6U\nVn8UMPdTDkq1gdQFRyLHAdc7fxQeGWovznrIJ8M8AEiFjc0GYsUgKQmQ3FLkPUEqEU9ojdRE\nz9OKG6QpmOt/UiggtcEi7a84QDrt09KbdDHjAaB89PFKPfuggPmog1JtO/p2wruRYw51HHSN\nxMNDjeKsp7rJcpev+uTzBQCpoLHZQKwYJKUe0KNqsda8QEqLJ7RGaoSX1R9xgzQJc/xPCgWk\nG42wRhwg/Rh/uZ6LGZssIK1ACfXHFfZUbZty2jYi7YC3CaSYOg66hmLrEKMU3lvoR/+94pOG\nFACkK4zNBmKVECCdj1mc4q0AIHUPCFIBozH3UQM94TETIM32PykUkFoZYY04QPrOZwmESRcz\n7rWAdKeexuMHUg7bRqTthN/9vsOqWV0DsXWwUcHrMPrSfy/7ZE8EACmfUSM9VgkBUm9vRyBG\nfyJIeeMF6Tq8qP6IG6SJuN3/pFBAamGENeIA6Suflt6kixkbYEZmuZ7Gkx9lPS/Mbtv2rY34\ncY56gJSOhwYZHdYr6E3/veiTPREApDxGaedYJQRI18WWwvBUAJC6wXX1oydIqXFM9rxaYGck\nUk/PHI4bpNsw0/+kUEBqboQ14gDpi8yAtN4C0jIUUX/kQ5nIxx7beGSzbft2o/hxjjgsP9fV\nF1sGGpy9gF7qP+9J3wAg5TJKO8cqIUC61v0rdNSfCFK2OCZ7HqBz6uCgehQ3SOMx3f+kUEBq\nZoQ14gDpEx+XyaRdfVZYQFqq58PlRenISI9KIim2bd9a4VDkPYfl57p6YvMA4+nn0JP+e95n\nrioASKnY4vpcQoBUz/0rdFQAkLpCnzCNteYB0jnEMdmziaIGtfQU/LhBGodp/iddKkifl1tP\nEUU9rBEHSB/6uEwmDcBwC0iLUVj9kRelIoM81m3DtslOC7wcecdh1ayubnigv7E6/Rn0oP8O\n+ITYA4CUwyikGauEAKmO+1foqAAgdQkG0ql4QLqXfLTqmQbpVkz1P+lSQTqAEbQWJBMgve+T\ncGpSb3SxgLRQTyzNjZKRge7rti/YQboBL0Xe9gCpM+6/2Xj6KXSn/56zV0OxKQBIKbjf9bmE\nAKl27OoUTwUDya2B9ALpe8Qxa7oRkykpT1vLEjdIY+gyP10qSE9jCIXmZ2kP4wDpPR+XyaTu\naARzWGGhnliaGyVEd+W6bvs8bHuDNBV+8VsOa5R0dcCmdOPpJ9GV/tvvExm0gTStu+fZUvDY\nwychQKoVuzrFU8FAetXNmgdIXyOOWdP1uC0SqYrn1KO4QRqNSf4nXSpIT2IAheb1+GAcIL3l\nk95jUidUsoA0H1eoP3KjeKS/HsbUdG6kkX8jHGbr3iDXi1boTeCk2wu1wb3pxhKmx9CF/ttn\nr4Zikw2ka2K3NrNL8O1eRDohQKphzQX21Z8H0pfxgHQPxlDhDG1RWNwgjcJE/5MuFaRtSCeQ\nZmgP4wDpsI/LZFJb5LeANE/P0M6FYpGb9eiLpmNoo/95FrYC0o1EK/SGw2I/Xa2wUYCk1Tt7\nWIH0jL0aik02kGq5503oOgOPItIJAVJ1j92knRQApM5wddm9QPoEcaQfrMXISORK7FOP4gZp\nJCb4n3SpIG1Gn0ikvhEfjAOkQz7pPSa1oFK8pn5hrp6hnYqikXRbAYSjUZfxjB2kBuLLO2yQ\nEqvm2NDPSBh/EJ3ov732aig22UCq4T5Lpes0PGrfJgRI1Tx2k3ZSAJA6BQPpWDwgraZxSPkA\nIN3mf9KlgrSeYsX1jPhgHCC96DP2MOl6G0hzkEf9kYoiAiRrAYR3kUOf5DhtB+k6PBN53QOk\nJljfx8hz3aRA2mOvhmKTDaTq/pHhn+BR+zYhQKpqTRjxVQCQOgYD6Ug8IK1Cf1rv/6x6FDdI\nwzHO/6RLBWkVulFUVI8PxgHS8z5ZCSZdZwNptr7UISfSIn31QaOmt6IF0QgkSyX2a/F05DXb\nGiWzGmJ9byM9bz060H+77dVQbLKBdHVs3SK7foBHNdCEAKmKdXrOV8FAcgsieYH0NoyAl7vu\nIvepjL5MOW6QhuFW/5MuFaRl6Ey7LOjxwThA2q+vhfDXNQSScfZXkVn6UgcF0j7LycJ126H9\neQqWSuwfp+XCbuFSal3O2+Vi1qleh3W9jayitWhH/z1lr4Zikw2kqrGL2+06CY/aawkB0lX4\nyPddmvXngSR+ff+EuBU0Q1hSNKpScYM0lGIUfrpUkObR5ie1jPhgHCA94zP2MKmGGaRD2e+5\nXQcpBwpH+tgqiYgeR19sLHwocyX2/eLhrsir+tKKrZhnf6G6WNvLSIZYpbah2KXP/rrIBlJl\n/3H4t/AoGZUQIFWyeMyLq8ZU4bQpAEgdYIvGmqx5gPRqPCAtp1a/OPaoR3GDNASj/E+6VJBu\np1hZDSM+GAdIu/W1EP6qTCDpsbPHMGMmcqi/s6NQpLetksgr0bltAslU9/ZZ8XBn5GUx1G9L\n7teD1kDphbcuiJZgTU/ore2dahuKnSjo+eZsIFWyLtxw0tfwqCuQECBVtHjM3Ty2xFUKAFL7\nYCC9gDgyS5eRr1FUL5zhCdI3pjZiMG7xNX3JIE2iPRuqG/HBOEDaiWLxGi9vBmk7pk6HNlmT\nXdzkvbDnqDkX+cXocPNHWOre7hUPn4i8BLSX2Seb5Xn9i2jZwg/gMfEBVt9kxCeW4Eb670k1\naXXYrRSdDaSKXsOHCzIMcgLGkvxYJQRIFSxbrnT22BJXKRhIbnWdvUB6HsYUjLuW0s2ahqfU\nI0+Qyt4Y/XsgRc39dKkg3YobKCqqxwfjAOlxn0G8SaXMIG3D5Gn64rtsKBDpiaUpZh/t+ehw\nU4zqzXVv94iHjxForWVA6H553tV6jfwVWC8GOKtuMuITC9R+LjuQj/6r59Yv2UAqb50Ctipd\nzkF/CY9VnAkBUjlLXe72ruXudQUAqV0wkJ5DHCnai+hmLRgXSDlqRv8eQGlwfrpUkEagCQ20\nx2sP4wDpEZ9BvElFzCBtxaQp+uI7iN6iByZbwpL7o1/l97BUGdwlHj4aOQi0lOPYe6U3XZm+\nVNJyAdKVWNXdiE/MUSA9piatquSMOMsGUjkvP6e+nGT6DB5rZhIEJHMV1NYeW+IqBQPpoMtT\nXiCJX98/RXshGtGiUC0DxhOkbKa1Pv0xzNf0JYM0gAr7VsFY7WEcIG31GcSbVJBA0kMTD+K2\nyXrZhRTkFyBNMEdT9vWAETs8CUvd253i4TbqsZrLxm6jdAIqUQtAWo57RHeysrvhDd6uNkZ6\nTMXaK6S4vDkbSGVdN1GI0EQbZZZ/6pWhnBAglbFU+GnpsZBFKQBIbeG604AXSPsQR4r2fNSn\ntWwOIF2w/XgXzGt90jHU1/Qlg9SH3ttVRqA9DpC22GsDuysPgaSHJjZj7CR9s3IIt6s7xpqj\nKZ3FqXrI4ztYqgw+IR5ujRwAmso53PWy56qIxurZ5VgnbpAV3YxObKpy+rarEGFpt0WhNpBK\ne91VdWRC7MdeGcoJAVJpyzLwZh5b4ioFAKkNXHcacAJpUAf1/zPxgHQH1d3JjSfVIzNI6/WY\nuKZz5iUK6Rjsa/qSQepKxbWuxGjtYRwgbbLXBnZXdjNImzBmoraK9QKE29UNo82DQOESGJ7e\nt7AUR3tcPHyIQGos53DvkV95eb1G/jKsjZTE8q4Ge5PUxkiPqLJCRd0yFmwglXQtNRCh+QGa\nZDruNfueECCVtKwVauz1kaX+eJAqa2nMTwNTfG3PpcXZqXpNNDNIc2Fdb33aXMq3Hwb5mr5k\nkNrRtsgVjK5BgfSQV/XYDXoKt69oNUQUpHtxywRttbh4InekC0ZiePTk1uJUHedvYCmO9qh4\nuIWGow3kHO5a6QKW1WvkL8UaQcvyLsYl49TGSA+rEGHB2C3LlGwgFfdYZxipISeZjsGjHE1C\ngFTCkpndwGNvaaUAILXOHEhXatmXuxHHoqE51M/kcAJpum2l2E/mVZ19MNDX9CWD1JIgL28E\n2hVItXN5XHGPiobFoVMSJD3jbQNG3qYtBxcg5RIgDaUcRF2txKl6B/U1LKVoHhEPH6Dh6LVy\nDne1nD4uDa3g6xKsjhTGMgHSDPULjlYbI22FHB3lccsZt4FU1GNby0g1maP2vtekYUKAVMzy\nIet6tR1SfzxIFbSksV2IY9HQLFp4kE1PgDGDNBH3Wc783pxZ3ZtS9Px0qSA1poXj5YxbWIFU\nPZvHFav1zFNfnbSAdA+GjdOWg5+DGL90xiBzl9tcnKoHV76ygvSweLiJpmXrSU94lRxLlUA9\n9exirIoUwFIaYzWSB0ao0dNWFdnI4ZahZwOpiGuwKaLnqB3xmutICJCKWELTtTz2llYKAFKr\nzIFUTst12RkPSDNQhoYFWpVOM0hjsNFy5rfmzOqeuNnX9CWDVI+cyTI2kKp4rc1ZYS+y7aoT\nFpDWYMhYbTn4WQKpE/rTokJdTcWpg00XmryOh0BLU8VwtLac1F4hp4+L6pWTFwqQ8mBJJ3GS\n6qOGKKAelPW5zsFt5YANpMIeu/FFKskFu+94zXUkBEhplohada9OWCoYSO37uFhzAKmMNkX/\nJOJYfTdd3EznaE5RygzScNtKsa/NCaE9ac1dVM7JyZcKUk3qA0sbgxUF0pVeVZuW24tsu+pT\nCZKeB3E3Bo7RtoY9A+SMdEQ/8wdsLE7VGw4CyTQq3gJamroXqCEjn8vlrFeaXvB1IVaKAegi\nAknt4zJAjZ62yMjGKVthr6hsIBXy2EQsUlHOUb3tNSBOCJAKWzLuq3jsLa0UDCS32tJOIJXS\nZhZ3xAPSNKTRvaOVuzWDNMC2UuyEOSG0hyq9q+nV7I7LnC8VpMq0KKKk4VQpkMp5FZtZEjdI\nxy0g3YX+o7W6CuLLyBHpgF7oGznRXwtaNxSn6p/3S5graAwtBFqa+jRQTUY+l8lZr8J6wdcF\nWBHJjoUdxUnK2eunQNosB2Tf2ao/RGUDqYCeCxnVGaNEcnk5yfSml/uRECAVsmTcX+mxt7RS\nUJCc10g6gVRcm514DHEsY52C/NQyblePzCD1sa0U+9ycx9Yd5i7yUeekvksFqRyhW9wY9SuQ\nSrtXR6AbN0ecto9IkPSEohVIH6WVXTgNZI+0R3f0FuMfLU2I1i710k79AuaF/3XIyjqK61SR\n48wlch63oF6ncj7uFH7zgg4GSL3UVn33ywHZl3DLWLCBlF+b53svutCgWlf9r7IytH7Y68dO\nCJAKWLrdcl7erFRQkJxnHJxA0mcnHkUcy1gnIRflYWp1o80gdbOtFPtUL0WqnuxtemqbcwrF\npYJUnNAtZoxOCKTDNXO5r0WlkL1/mRClNy0gLUffkdqOlgKkbJF26IKbxEhGm5qpJ07VC/l8\nDvMyy9pkZXXkKeAq6R4vksH6/Kimnp6H5WLMNb+9OEmNmropF28TKPD9MdwyFmwg5dWCQcWj\nO8+mGmkmpWTs43UYqVSxSgiQrrB0u6U99pZWCgBSS/q1nB0aJ5DStHMf8fpudU0Ut95JynKR\nMoPUQfj3Zn1kzmProiqGatrqHGePAenrzBWlLUivWMQInxFIq2Henei7m182n7/1g1lwS7qx\n6zULSEvRa6S2WlyAlBJpi46CnAf0jpYWAXbRTv1M/B191VpkZRUFSCvKXn2BDNbn1etU3oHl\norufRxO6deSBzqpnupf8yB9uN5KNXrD1sjaQcmuud65obkl2Y3a8hPQ0D8FIpYpVQoCUT0/4\nlCquL9p2VQCQZJ0O57ppTiAV0s59GHGsB78NOP8t9ALsBNKXXZTn0sq2lfMx8xoaarCjesjZ\nrbCDdLpAHDFzk3JTnkKaET4jkJbCXML+acu44COkT/fYp8iqFyVIeh+7GDeN0FaL0wRTpA1E\nnxS5T+9oa4pjHbVTKUoRDSjJ5YErKUBaTn6H82SMMZde2nsuln4PzG0rTlIbN7VTPdNGqjq0\nwQikH7FDYAMpl/b75IhOiacYk3pqkulleCy1TAiQ8li2HEzz2FtaKShIzlN3TiAVUD7KqXVe\njZQumj75CnoBdgJpu9YON7WtFHvfnDXQGeaahZudibWD9LlKfY5b2Wh6tbAxY0UgzYG5zuku\ni+96BN2neOxTZNUBC0gL0G2Y1tXRwr0LrXEjOovbXeO0ujjWVjv1E5hXh9EzosERIJWW3+Fc\nGWNM1YsOzcES0UrNaSNOUnG8GxVQG8iPvNsIW7xsn0ywgZSKB+X/UXouRItTpMlJJtEwuC+1\nTAiQclu2HHSIr9gUACSaD3SpnmcHae895KHLcylU5F9YYawYY5+wgLRJi6M2sK0UO2LOGuhI\ndUkM3e/cGtpBOqZSn+OVzDEQ/p1+kxFIk2Gu4fOkxXd9F10memyvYtVeC0jz0GWoBhIt3Dt/\nI1qILmi93tFWFcf0xVhiYGOKzFYjK8spdbWEvNnnyBhjdj0JZA4Wiy93TmsDpObq//X0e640\n+rYXjFCGJhtIWl3v89GZvHPRpcCFZNj4IOVenHNJ3UsIkFItWw7mtTh6TgoK0omtHR2+JjtI\njbKdE32kvCPqxQXSGOHRfEF5l+IWWv4NgbRau32use2u9I55srODMWYg3ee8XtYO0jv6Mp34\nJAPRYgyqT+gQSOLtmpZOPm7pct9Gp3Ee26tYtVOCpI/65qDTYK3SD4F0rhWaoV1krW7+KnGM\n2oBz9W6nDcxNkdmrycpSmmkoJlMTZ8kYY4qeBDIbiz4HZhNIteSBJiowfg9Ru9ywdMDybUZi\nQMqmyhGfjs7knYkOWK+Q0S7Rw46I9HApzZ8gID1qeeS+t7RSAJBuoF/ri576msFnTQs07SBd\ng1PCo5YFwurCy23WNUqMOYTbT63pZqwkkJZo+FUzbwrz5M7Im+Y5mvaWn36jOcMzKjtIr+vL\ndOLTKRr2izGoPoNDIA2BeX3qdssHfBPtR3tsr2LV4xaQZqP9IG0jPloBe7YVGqON8L20TNWK\n4hglm36NlrSBuegC3l6rnqlCVhaTtTRsEo9nUmjkvFGdfxYWClfw9hvFSTXlgYZq89i1lNOw\nVFoi7TccR00aSB9r8+RaFdWfotXwTss09x+fuEBfEDlBz1ESUx2XEWJCgJRDj3hJZdcXJLgq\nAEjN6Nf6tLu2puV8qqldt4NUFd8LmOUKfwo1jY546fuhhyMjgQ8/htxbZz2WEEiztJycK80F\nccqWixw2z9G0U4UONa03Z3hGZQfpBX2ZTnyiW/qc6OP7ao8JpL4wL2J42DIueANtRnrsCmHV\nwxaQbkfbgVqawffi8JmWaCDGc3fp2UnloHLlTqCZnMl9NpKuOZiyhMpCmrIrKHuN6ZTMe1Yv\nmPfNRCwQ58+k+Qu1+/K1aoZpDVG7UBxVUyfP2H1eDaR0NR68AEhuT0YnIH6SSYWLyRvKLdvu\nfRC/QS0XxzYhQMpu3intQrT+mZuCgvRxF+0OOq1lmyhrNpDK4xvxjuR8OUVmvUv97MHkyAjg\nffFbk1uyFgsIpInamr0y5oI4xYpHXoMpXbSNEcUirXPOBbeDtA8NnE5z03dy9iy3MWNFIHWB\nOdPtIYtLeRithsFtYUI3m/O0mb7TFB2k6WjdXyuZRSCdboFrRedzp756sYw4Rm/9c9ESEEh7\nIzdpgetKZGa+6BqRXxaxn0qhkdP6GvaSKZj/PjAjCtI1aoZpNVE7TxxVRWf22FsYDaRuygk5\nRxH2CK3gMJYt/iAXNM2kRNVUecs9A9EXVte3YbIpIUBK0SIqUmeMrDVXBQCJciZxvIMWK/1B\ni6QqazaQigvfO0W1lhSZ9S71sxO3RYYD7xyDHMyuwh0E0kgt3lzUvMAlLY1KUkUft0YHk6E1\nzimsdpB2qWn9eEV51j+K+0QfiBNI5CRF8wo2W0qwvIYWg1y3Vyllq9N1L32n2XWQpqLVzVo4\nkNLCTzfHNWI8t0yfwioJlZnwscDpmLz9u2s/xpVk5g6asssj3a/JNKL7SV/olALMew+Y3lKc\npCZQq6tlxqvoxSgCuVP7YkxtI0mBtK2JcmPPaDXrTkTjpidlnH8aNWc55NjiaYifza0ia0KA\nBPP6t5/gsUm7UlCQjrXRYqXfao2bsmYDqSA+u6ANxyky61zqZ0R7dRfsEKOhocDho5BLj5Zj\nNoF0szYoKWBe4FKwAAVYowujb1QVQzWtMtwvi6wgPZVvir66wFlf2Bz8L2XQP9WY+iWQrrcE\nnzdZxmavotnNrturFLOVF1qHbEBOvcLDZLRI1xLfqB881Qw1xaBoid4+FNOibsfFByCQdome\nUf0YFeinmRPZBuSSqYmTCKQftCQ+2rhi7lvAtBZI0UCqqqZq76IXmwU96/5J+2bsEqRXoU3Y\nih5uGf3/eXSRyLdyMDiZxmIpcpJpN8QrV3apyJoIIJ2Hef3bSXhs0q4UAKQm9GsdbaVNqJ8w\nb+9oBykVH53VhuPVXEEqqfZfjDwqeqzBwCvvQQ6Ul2AmgdRdu3NzmRe45M9DBT6iEbFWluHx\nSnv4VskK0nK0NvelMXoz2zLrAcoh+Eo0uD20xwQSRVCiSVgbLZUjXsb1feFW3DfNVhVlFfIC\nqfrBiWjWT9v2iJaS/9QU1YS3tVCPc6Rprtn7AqcPxN9PRjprgWtZHW82jbhyyNTECdSkfKfF\n1WlKas5hYEpzXKElDV2ppmpX0ovNgJ7j+Lh9o0EJkuhk5MLa5/NBBVA/iYZ7vpK56hNFS3NB\nRYp2UVptxdj1TacHP3Pik0QA6axlp7Sv4bFJu1IAkOTGCe8216YvPjfvSmcDSWD9wWmtQEBV\nV5CKU3XVCOUQDY+IMfbBdyDX8C3ANAKpjdxU7oXHssl5/cFqdjZ3KgVYoxGxlqpiqKY7jZvd\nIitIy1BfiwE7a489NEIzNl9Gssmp369/UiBRuDmaJGwNcryIhr1cd4UoYCvmsAxFhDumjzlu\nQ5O+2gQVgfRjE1RBQzGI0dqHwuIYuWTviX7lfdmPdNBwpjAEZtJCvRQ5jhlPI7pvtCgGdW5z\nRL8y+QaU1irHlFPr9e+kF5sKff7uUftuNBIkCiwelp9SqxB0PBruOSE/6HjB41nll+8E+gjr\nMRVZ38DAJqUSAaQzlp3SvoTHJu1KQUF6u4k26fCxeYGdDaQfgfdOaQUCKKDkXHyuiDbA2YrB\nETHGPvCmagzmYhKB1EQG5OrnVAtccqsbIDUbxYWiA/kWxgQlaTm6RhxkBWkJKqG602madtsj\nFjSs/1R4Lt0ikQtFITKPsAAAIABJREFUOyuQysmhvq61lsoRB1G/u+uuEHnzWR/PhzCVTwdp\nLBr10VKxqSbDD9fjSjGem6O3DwXEMQLgbeEMUNr4o5F2Gs5l6aeZLpf3UWriW52JPXGXS8M0\nyJv9EjCpmejg1PdYSm0puJwK3U0CtJ3It9krLUuQHoRa+bQWWmGTD6KZhF/INYG3itvitPrx\ndlB+epnY9U2v4+aqqYkA0mkZ45+hBb0/gTn04KgAING6MrzRSJt0OGZeYGcDSfyEb/2gxbUo\noDQ8ctahkFOaNsB5UIxPxahiv/A+aDHsLEwgkOpKr41GWJQgk1PtJZkd5/aaB/I3WLJ9lmhd\nnE06SMflkHoR0si/ObXBJRywy5K+F5FlCPDhBZkueoYWmBJIVNYxOuV9t3kZq/A963YxpbSO\nsSynSrUtnZ0F0WNfoYM0Bg16aUUcqSbDycYCs2sjs/XJMuFbya0A3xA4vQtK8W2jlVgqTT/N\nVHnPU2riVaAPIZpT2f9Rovis5yVI63Mqf7yYynlYRvXDJ0C51BR9tDmeEqT1WmCFEnXlcPVI\ndJT6mYwxjhIn/KQmmR6jVy4Zu77pNaRXyJGVQPrQpWjsKYrxf607OsdhK70TK3+QTsy0taoS\npMPXafmwR82bVNlAEt7Q4ZNaXIsCSsMi09D/HvsLFNLe7gNifCrG2PteU73qdIwlkKpIRsgx\npAyHFNn9idv53XRzvl8ztDQZXIT2LR3CDTpI3VLI31oohhFVKNLmso/PTrQ7aWHsPQqxnJMg\nnaLkaQIprxyhSB2q8dpKS7TwAGp3iC7ePmeNtWe3rfibAjHcKqSn4Y5C/Z5abXzqRr5thDJI\nrTpRnyzLDTXF+prA6S3pkLXCLvmMLHw8Wa6TpdTEkkD302fFXS630STf9Pb94ntsilMF1Sio\nsNqbcymNY8dC92Y267sFbiyrinxLkO6CyjOn/0cs/VGugtWd60+kIzpStILfq0mm7bTQo5h1\nC7TIe1fvfhV9S6dkJZAqu+w7/yMtR/lCVSuTjaj7Ju1K/iCtse8G2oh+pkN1tUbwbfNyBhtI\nos169Vstg4sCSkNPiSY85p0X0LqT+4RDL4YGz74KLXQ7mkAqIz8MYTjeyOkSjrj40Uz5fk31\n6tZSC9Amn8MuyDpI7WTC9nzlH93jVux9J5rWrms+IO4bHBGuc2eKg9WUIF3IZkS6RHe0erll\nwft+1GgLY9u3nywh5Quw1UwZD+Ewp+kgjUTdHtriIALpq4YoIf7rp4cmU6Fmhl5BWdouVngd\nLbX5QjpN9NxyVmopjT7RrXKHT6DAoADfTNGR39YEpwuqfPArlF++hOJxo8XTqpHbpA9+Bmge\nowRpkRahXCH+z0dDhjeizvVHEvthwM7v1CTTNgj3Os1WMHsr5ryM3kXxj6wD0skUl20OfqDP\n8aksCHjsrvPvwlZ6J1Y6SN/0dysleae9zaaVzni5tubTvGEugmgDSThpL36lFTim4cQQKk0d\nk4CVX5tI3yDGAL2BZ15SIE3ASAKpEBpFPkqnir5jqSuQ1AoHVnRIppVA11vS5u5Aq1wOGxPp\nILWRU5130Fs59cndthQ+Q0+gbiFL5W66ZWkI0JGG7dUkSJQIp8dFV+KupZYF78+iWqvoIouT\n2gogpbP29RW3oDVQRAdpOK7prgU7qSbDiQYoKv7rojsaVEyS3IAXUJK+YjG6b67F24pD9tz3\n03+LaO4NXVKrfQiVlkhd6vTdokG6HqcLKZDyKJAWUX4GNU2r5dGNus/WVpuhlSBReJyGxZST\nl0LO92tRn+C4jCgNFl7m12qSaSv13AVtBbM3YcZL6FkQf8s6ID3vVp39JH2Oj1A3MmnSSBx6\nE7bSO7HSQdrhuufKUtuKuhel//BidW327pDuB0hrVpBeBA6c0ALENA4eshWI3VY1j0bBPeK7\nFx7N3hdUyzgWwwikVDEeIfdcJhh9r5wU0Vx0g75/4xvl9gpvs6nJ4By0yOmwsYIO0o1ydyCa\nfyzfL99CtxrVO1Alp6Wo/Os0MhSucwcauFSWIMnaP1o4ZzmWL7QseN+LKs2NHb1Ez2IOEZ6y\np4UPEZiguN4kDUXNbtqkDb3E5w1AgbpWuv9Kr0q//wEUlSsCN4keWb0L4k303JvovwUyTt45\nR6VjUHFq8gKn7QTGNcaZwmopUapa/rCQAkLDVYAiIkdDP0YuvE8r15XfKkGiYAT9kkvlj7FG\n7tKk+wTiJdoeFx0YNp1Qk0wPQfih+W11fu/BlBfQPQ/+mnVAWuNWVPo78o2PoYb4ELlw4HWv\nTdqVdJAecS1WsdC2EKi9/CKfr6p5Ey+Zk0dtIO0TI54vtAAxjYMH3w/E7kSfS0seXSO+e+HR\n7DmgdsS+BYMFSGdoDdrd8iVvoRhWqvYpaXGaau0fwBzhbZrzT2ejaYpD1REdpFZyhoZAKtsC\nk6xbcUX1GAWkzZlyr1DUSvRB7Wn4XlGCJEuWaKPQJVgyz7LgfQ8qNYmuVvrcEiL83p7Nmg7h\n1JbUQRqE6l20WQMC6dPrcAWoeKpqcM7Rq1JDsR+F5bvaKHpkFW+Te1qMFU6y0DwZJ++UrdwH\nUBWJqSWYukM83whn09ScRYqKFM2nwDYl4E65g5y1tRRsXCOoKaXN50uQRonnab31ImihjBej\nI8D3ZQ8ovIQ1X6hJpi3U4OSxlSddhQkH0TUH/i/rgDRKtcyx+oYahPdRWXrv+17RvV6pE06Z\nyDpIW13Xgd+BJZbHMvkbz12lfcnPm919G0ii+Xv6Uy1ATP3YoPVA7AbaqVpq1yoxBhAeze7n\n1Hh1OPoLkL6mbJY75UuOpNtKvphwFynhT7X294l33tCSHTZT3HMO+ZI6SC3lGJg8lVJNMNqt\ntO6jlGtg3tiaFrG+LPrCdhSkKidBojZei3SJ9mbBHMuC96dQoaFel+eVbz8y1/ynn8maPdMT\n4j4urafcDMDVXbRsWMqn+Lg+TdeihiqLKvdfloux9uIK0Y7lEI1lQ82Fp6lajFEJR3PlFhcd\nUPwIVOmIl4mU7eL5hjiXJseQ57RmbR4FtgeClgOSo3o3xflnYdv5nFjflZw7CdIgQMaXFkBz\nHA9EHVcKwt8c6SNuPm0bigfoe0q1VVVchlsPoBPwP1kHpC5uJTy/oiz691CeZrHx9Atanq7U\nd3mccqJ1kDa7ZpTONq9fiGhDJOyroKWZ7zen6iiQTo/QZvvFr7bzYy0VksbBA+8GYp3SHFpA\nawVujHQFntqntpYfjHQB0qcUnVgiX3K4DLMSIOLuqi8OfPgq9XUbMCjSQKscqjQd1zgt4dVB\nai5naGYKAyUaYJBbRdDt9JLmYiDPi8cvCNe5DcW/SkmQ6NbU5+3mYe4sy0TwTpSro82qHss2\n/JjKIRhRTn5ZJ+j9fVEwOjzrgltFB6mDlI4qnbV131Ql6Pi1oPhCBe17ot9Whs93i7vgBeQW\n/XcDzfMgD1D8kBvpvzkUS0AbFH4XasLnoDjYY6pwkRsIkORI9bSWhXcHRVZvpn5OBqdW0tue\nia3iax4u5/4kSAIT2STeAc36/mh/S0H4euSXz/1YTTJtou8pu60Y3AKMPIAbxf2SdUBq41Yw\n7QRl0b+FktSQYdcBffhIUgtCv7Lu6WCAdJ/rDkMzbM6PLPmEvWU1t3yv2UtRIL2GdlNlWuNm\nYMdxqNAsJYgNWK45JRZl05JHl4s3KBriXXvVu+6PPgKk4xSdmC9fcoiMDpHvIXiiiaVjtQnK\ne9A1cp2+34LUVFQzl1LQpYPUTCb/UUZM0bro7bZFxjZ6SXMxk+dojPAtaMR/nJLXBEi0Y6tW\nbm9/b8yaYVmnuxOlKmgg7UCv99TU5w0q1eEzGl68Yqqz3BZTxOhRB6kfKnXUQKLJn2P1RLcj\n3q1WHvV76pByylegBI8rxLdVX2swC6qeW44pb5cTTq2Qj/pNCm3sh9KoBjhfRIL0g+YfzKFP\n2le4ubklkMtp25dp2HIY6ChvCwkSZbrvUSdDbnX1THR1MEU085wX7sTU42qSSfSJrSL2iryz\nMWw/mor7JeuAdINbwbQvqWc9jDQKdWLHs1rCu/ZhKW403LSi82yZkQKkl4bRSGC9axn6KTbn\nRy5nxp6Smlv+lPJSXpRxdgUSOUHS9RQ/6PZj2kwLue/9F2pOiVkX9CJrS9A0Ijr+nXsg44T9\ncJMA6QhFJ9RvN0gOaulG/Iiq5AAfXEUV7NcI/urrszSzaZQyGVcae9KZpIPUVHY006hzrIHO\nbmPDh2WfbjpA1Oz7Ri7y/gCF3yCQaDcirakqBEyfasmoeAIlCmlvYwm6v6nSbpqqYcXHFHJ8\n3pRb2wJzxWfS/fU+qNhBK6BKIB2tKz9/HlwtHUXKGkqjPmaHcNmeQ5r4jevS7/xVoTmU8yD6\nEAnSDLnpUnPkpHAj9YN7NZBuaYALRStolmT0dw4FtnthmfBm6ZtfSnPoU3D/LqCuzHqSIFGm\nOwVqZ0kjE2Riqv4l00vgfYHa2A9UreINQMtzsNRYpK984D5cJ9rCrANSQ7c6T1+Qb/wa8stP\ntn03TBG3Q3LyrY0p7f8rNBMgjZLh6bWW0C3ptFa3Y4LN+akov8hdxbQpqifVvd0qhe4QBRJV\n8pA95l3A1ve1mRZy328mIuzbN5zTS9osFAMdcf88uUvh3wvdBEhv0j520+VLDpC+OL3MMciJ\nlSMVyPdfJRqIevqKiLr0vUxEGVgDRicHvrr76UN9VezgehmVFT0AClUVLbZLIUMKMFpSfilp\n8+mvqKWVgeTHBUh6Kk5Ezu1MnmRZp/s40rJpme/D0eU1FR9rrAZ2x6jHfNaUO9EY4u6tpIPU\nE+XaaZVIKFX2PeUEpIjmiYCgqaWSVFXlUdHT7ENxrIhcQ4P/w+iTn84bSkvHZZ+RC2gigITK\n792lgTTyOkSKSaxPaOmss2mKogdWQe1Fvoi4moR7N9PXTFlPEiTKDKNA7UxpZLQcAeurgykI\nj8OiFRx2VO05IlBufhq20jsTkP4MagEnsw5IdeCyudpn5KK+glTyh7F1p7ZyROp5GemrbdpJ\n4DPRjv/6ywgZi1llGSgLnS+ltZdjbc6PTEPBk2na+PYxNZ/TWPY7CiQxyFFBATG22SJuuu0n\nDiv3/WbqBnI8YF01ekYvIDBPvJ32wBPiXd8VobTvzgKkQ/RbT5IvmS4juOSWi1+L2t53y9K3\nsEL4fnX16c7adIPdRtMulo3X9+LWUhUmadmBjWQ8jOqWFKiIxm41wiQk5skDug93iVuvpfJk\npguQZMuvYpo5gYkTLOt0HwXN98hRVgt0eFkN6xsob+gofY6nTNxdm00MH6vk0x71QNm2WkII\nldt6+xroIseW3Pby5E8L7/PMXpQW76AmBYSeR09KHsLgyDr6b4qkW4xo6V4g73uHZmNE/ZRI\nMTkJ8Zk2Yr2dZoi6gj4O7fw6n8JzE7D+PoiPQFlPEiTqFqmwzjRpZJi0pyd8Eas4JH689HdV\nBspaoNmPsFUMGY3eT6OK8GqzDkjV3YoBfEr7Xb+IlN30ybY8DlPo+hlkO09j/mjJyOOiLf/1\nl6FygfGd9oIXP+pZ3aNszo+MDGFHQW2UvU2tib5OjjEVSLS1tgRddECb3gEe7pHze+m+p0+Q\n16612DutrzKbI1w8cf/s2KFa+S7oIEB6gQZV4+Vl/WTLR4EC8WuJGxdvlaQlmMvFzVBHX1pU\ng4IR4yhabKnzvgv9UkuN17IDG8jeiuDMVxbXUJ2FzR2s3+ZrR1WOpiXw/6ToEp78UpYdof6+\niwCJJvm1mKbofMaNsywvfES+aTklWQ5tnlfD+uvUZP87tG7hcYqka6qZR9x6V+fTHnVDqTba\nAI3Kbb1Z2wCJvGjqpKoQUoL1n/YIppaK+2EBuVrd5AaaA2npuExNFCMr4UmRS0dt13bNxvBr\ns0WKS5A+0kCaSaOZzqDJCfoV5xIB47BOthM3D+ykQKJMd/Itpkgj/WWHqG8oQ2uV8JJ4z93e\nVtULV4u+8CRsFUOGo/seSs49kXVAutKhGMB3Aw9L53sGxZekY3LfI9oSLKmdNDtwLrupQNdR\ncQf/+ssgGVVbavpVpU4ip4ogjzBXa/vwqEyZBB7Np0XWH1Ih3joSxA+HfxfRSuLQrSkarw2i\nE3molWCNZkLSx8hrrRvH/wRtccws1Ka9lx4XfdyKp34SnVNbAdJ+ym8ZLS/rI38wujPfUnfE\nG0Vp3dxiZL9QW88bqEavO4aCXOaqZGK80gwlbtVc9gby9yem8xQXd+Qt1PlZa/WmXact/jZt\n3/j4VciFx8SQ5QY1I1NJgCSDIDKmeYG8nTGW7/Bh+R7lrGoBtNqnyqjWU0HtN6hBeNiUsl6l\noHDHqufTHnVBiRu1zCoC6XBNA6RFR9WhGhSVFG/x5FO4Snyf1SggtB1dcqt7nPJKqWPIRoMc\nPKEBuFWzMaxe9kgJCdIxmRd+Ytlt1AV1kDcNDXBmEzG3YjXleSP9yoIKJFrrRDMeyj3oLZtQ\nvXy/DF8ebAW0fUNV5hBeYuNvYKloRVH9zk+hGPB51gGptMMa5p3UmX9EvvFzYgRMn2z9Vpjm\ngB4hh/1TcyvxFq4SIA2QRxZaFiJEZNqxGkoOMVfRqluGmjmhR3JpRe0fUJ1ETdmtLKZQ3vIa\netspepJ1ohPZ3Fw4NMRfv+Ew3549ZHmp7/X0uxnChPgtHhUtZ0/ME0y1EiDtoeHWCJAv10uG\nMQiCw+qOOFyIViksAL6rpa/Rky31KBpOWNaPbBejpqKjtF6qvhzGUy+XmoayFN/tbN4Z5cL+\n09mryc9lKQQ/EqKf2ya+v2aqAc72/35WYzcZ06RJ0pG3WJYXqvtWcpMPzfeotr+OeqXXyOfb\nbEoQLF98I7JV13NEOqFoK805pUzT12oYINEcABUOqkdJBZuEl7QTVF6pCvp/Ld5xh1zy1lcT\n2ONlCkQt1aiejGifSGho3RyRkmLE9sP0p2QMdTEFOZ8VzsBjqh+jDmqr+BLvojET+pbTQKKw\nK40ZlVfRRTaheo1XWSj2QAvx5byuVp2tFE7lCWMzBE190X4X+eSfZB2QithWjN0wkkAZJ5Oe\nplB8SQb7126GKZNsM33uV6KLz8/uewXlBEjpst24w17k7YSO3ABzqYXyuc6qX2NrTi0geC8N\nOb/sliajUnMp6iOzw+X7Ez3J3eKb3UTDe5pS7DtAPqWXuM8jAfoO2m6wU1GV6opvf5hmP6aI\nP1sIkJ6kSZDBouW8lYbmB4A152RladKh/DRjKj7q8Zp6Ak4lamAoa8yaG7UV2ZA2QgvC1ZOj\nj3HinJz5kUarWtuZ47RPYTGRLdNsTFMCg8RgDVs/loWw5H3zxc/ShnClI2qSdOgIy/JCOchS\nMY/caLJThf1rqXvvZeqqNppmkUuW24QcBkjtkdZKS1GkunWvVo+CNEAlnzaioMsG4MsnBCp3\nqPUSa9GWppuECywJGCs3phWX0if5NqLVhRAaXCdnpFQZ6qZ7ywUWU4R3iL2RG0GjQGo0p1Ou\n80iskPPgvUsWUCBRIONh7YuT09KbYYy35ZD82WZA/UPqSxOXNvjCvhquO27cSc7Ch1kHpPzm\njE3BREpNanBu+fHaidSmiFb8Nvpkq+6DaTJ1A03oPB79cOvFScUFSH1luzHbXjnmMz0e1c+8\nHq9EitqkEQ+maHGM9dTq0niAAqkzqX1uIE84ETnwgrij7xTf7L3kTJHX0acvzO18qvQvvtHz\nWCcJoESj9shWmv2YFGmGpgIk2l34bDrQ/ThN0lAY4wHNkwBeyU1Zc3Nkk11TmaxAt8wI+eHp\n4alyqtADrSsoNFRLwawjRx+3Uq+SC3ko7K+vQpB6CBNoeCjTbEwpP31p3n+zuK+vV3Oz+PRn\nSnfWtnikEt0Dh1p6dXrNXGoUkYqGj6sJgRoK2YNE2FpT8ZW0yg8gVQfpmSoo1EKr1kggvWQC\n6WYZqUBz4SwfaAp89rjonOZQJLVJZBla0chRuMC00kGM/ajNE2N78tAoKe4ezcSgawRIpanl\n7Qjk//qTkRQC3SMaLgrwU3cyhTLLhmO5zKrrWeQKCdIFCp089FzLL26VRlrKb0jfi0tWXH66\nsfgIL8tpCpqKqh+zGq4jmtNAE+9nHZBywrKK9wSNMtZjyBGa8J9A8SXK98Dy9TAVg7ubFkCu\nUyuBSXOQLjzkX3/pJdGaoW/Yq+tjffOIXmoB9St5qeMqhA/Vr7FJH4mvoUkHGpnni1AobCwV\nS5P3WaTsVUOBpeKbXX+taIepsezTXT6l51DkkMOGr6CtbJ6ACpR/tE3cgTeIcVljNBYgkV/y\nk2g5e39M3gSFoFdoDaC4wXKSV3m7cPCr65lsZfH153uH0pNyIHZMW3lAjfIVgzVcakunaTQq\nVRX9VArdms3MxQDvx0iaKJDttykA053mru4TPX5jNTeLD38WbYy2cFcWvUsfZFleSJ5UKeXJ\nZUf9bSoXpZpyLw/Ql7bSlBCer+aDyFVDS1epKjqK5tpsJn3dL1SLgpSu0ghaiyaEUg0+2o4G\nok8sT9VQ5qAF3ezCBV6hvmXqJiuJ3wmq2V2tmRhYOzVSujR10y3Fr9a8WB9KiX1KfAn0tRIF\nkyi1ZAiW0KwfbiqYX4L0PT3YMgU7R0kj18uWWd+iQX4huxogreILajNBwWC9D+2LeFqjiYwc\nvpdlQDoP6y6FRyj/5C7c/Dblxownd4imobFkLUxZCcuolV4R9XnGgxKNfv3lJjmzOkXfHlHX\nMWi5zN3VVO0m4UGQk/K6+jXW68Ovuyi8RDcqzemMo29RBWs/jKSVEjgvFG7QumvETUGNZe+O\n8ik9VSlFNtJfQqvAPk78LxrZhx+g2Y+xomNrIECiSNJ34iZO/5QWAlEYY6lech4HU2giQzgi\ne6qhsOofS+FE/xTatkTNIr9hrNAQt8wAGaF/48ta0iMZhYMq2akfBcQ3RT/4BvSnVDq6BNUn\nGuE88davxoZjsjSjzGj44OdIF+EZqm0IqZ/u299SWJG+k+pqOA7UeVDNrFXFU18+Ig28Elli\nqr+Us95W5NZBEljka6Y195QXe+DqKEh9Vailkxh10sc8tk18VzNojUpF8RM2zSZvfZWbOFJ2\nk8LWAqjZtxWaiQECpDKlyDUTX0CeCtnbUybfzsj1OKRApS1BVglXdqEcH3TPm0+AdHqDDPA8\nMAFPSMeZmt11MAJX5CngyfopJcs8rzYTXCw+8jH72oMb0ICGYXg7y4D0I6y7FL5EztES9D5M\nLvGt5L/JIo4L7jLHneZR97QkGnweKByoHAKkbvIummgvYHAU2m3RRS1Xu0f6MNnwjPo1Vqkp\nB9mJH1QTKqcoY7u9trcI3o8ULCZcsjtEM7e6hhidUIyi1416q0o6r5KSP4e2WH0MStKs39b7\naPZjjBjKXCtAIssnOouW8nNaCEQN2gLtRgb2kYP0ufCvnrhazzwqjs+7Qa48lDH7g1oOHnk3\nudMpkncqtbNyr0biRTWY603hh2gmlbg/elBl0vXIRW/Z2Ei0FW1wvO4DWZqROkYc+VkMKypq\n/TaVVuiZbhlnUpdWX6ZtngNqiiHQ4+lnxWDmiVvwFjnfL4ofxKi/dB6NH0HeGtr687Li/m6q\nUq3lgOi5qlGQeqtQSw8ckWPRI1vRQow5S9Ns2xioD9RdLhnCcHmblAFEly2zb5dqJvrXyhUp\nW5JIF01e7itSGlMC0s5IQ7wlKZQ7Gcz6vD/mzaazu6bmFSBtgYwTbboVj0nHmcakq2F4xPKm\neKxujnIlnlObCYrOrPZR+9qDRqhHnjreyCogHaTcefMq3qeoTZ+LrodQmaKP28UPR2947nJt\nKCw1k1rpeWqyk9SFcqTP/fpLFzkhNA5XRSx6V5/e6aAyWe6iW1M4C9vUr7Fc9xqX0C8uvYav\naCFNQz2H6N1IvjThfMwWvcddV4u+gBrLnipzXJvQP6MyUD/V6xfeIoZZgoGHNtINeIvwwOoI\nkMjyZ6LtHf4leWk0FTJHu5GB3RR/pZtsWxVtpUCkCD7tBJkIIMtw79bml2j0ndqHoiqfo0F1\nCdIIvNxUfzfXmBPcV6E97XF5DxbTNnpGklBTmpO5W9wcDc4+LtvVd34Wt3Id7YUo26BbH31l\nshR1adfL4Zj41qqtR0p3HBWDme19xMvvpBHQLBjLeH9Ci0eRv6YGUinxZpuQ33T+DQnSvipR\nkHqq2c9+eEfWsXj7QeHlTaY15amRwTRpRLe+Ammo9MbE8Ifi1eS/LNRMpIvXKVuC3mAVmnGF\n/L2eiFwHWgxBzuxoIKVcOuZQOiI6pxBId6MzPbh3JLYPlUaqSl9EL4gtZw4fqZ1asYho3Chz\ndz5Q4x3Ydiuth1pycu21LALS/6XSV3jUdOwh+uWno8NLqEDLdh6WDZFoipbAtFxvEo2LZ0Vn\nlppR9/Xjr790lBNCo+0lmN7Udxlpo3IeltId8x2gDVkX6p3dAor4SF/iI0o0rawVoBZ9Ra4C\nN4mX3A/cWQnb5Wq0m5Qzpc3/n1JR2Y/1TYhHII0CFQ+KTqgORoj7pOCsv0rLH4re4JavKO2a\nRkwzZH4faQe165TDt5leUs56FcZH7SA9Iek/PqI1BmQlR08KWB5F9aux/6GaXwzDK3JbDYph\nVDdPGC0XI7Ri1DGtFqTrkwVnhxcjh3PFewKnreqmevPnyDWpjbQaY5Rt0LmnvipKTrpSX9pK\nDsd+AiqvpRUNh4TX9lAn4RDtoK5uanRToW/QbgcK6CAVF81CY5pSXo+dBNLeylGQesiFUdkG\niO+Xlkoe3izMTpIrY0/3US2IYEH2PYNl/a2iomWFygeZq4MkXMhyJaipkEWHZLaVaGPqZSc3\nkgL45Lzl7otZVKALbYX//1vGItXbbRiKhwfLi8pLX0Sv4yt/kK018lQutFexKF6r+pvmTE9S\nDVRXqcBZBKQz5JmbNkGgTrYojdVbPU8AjaDAa17kEt77XDXBpnQr1ZeZqntkNPMjPOuvf/2l\nnfRrRhoL7s6JVd8DAAAgAElEQVSpeVjhQGSTFRhbqpzm+RTWpGVb6teYo3d2chpcrnMQ76g3\nwVdRnvBaJEfebmIoLtywZeXx4Hl5F6jsSy1I/L2KmHyor6wYigIE0pZ11KEOpa4m5S803Yr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XLG8X9cO+5SBx8aDPxjzl9fLnR3i9Li3V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\nEM+uS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JFZE+REsSyQyJFJdcEekjEikK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\nRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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RCjR4/W7uO6devWZ555ZunSpe3bt8/L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\nZA8oL78l2PlWdXV1XV2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I4oZg6LUk62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\nnQjdsIy58GaYTPs7asUu7mBnWbFL1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Z3Vu8YuGvyaaK5kZL4kYVy+5ovWLlSvnM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\ndMHDrHJzc+fMmbNx48YlS5bA6SOwWZce3Pv27QMsi3CktLSUb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KnYj1XLeHj44YdfeOEFXC9xdkA3NGaurhI9EnAhZ5tmPP9KMueIMxSZ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\nrkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "goog.dif.test <- diff(goog.test)\n",
        "accuracy(ses.goog.dif, goog.dif.test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 129
        },
        "id": "bBnHcUx21U-k",
        "outputId": "912680c8-6f26-4cb7-ad41-1eb4fc776009"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 8 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th><th scope=col>Theil's U</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>-0.01368221</td><td>9.317223</td><td>6.398819</td><td> 99.97907</td><td>253.7069</td><td>0.7572009</td><td>-0.05440377</td><td>       NA</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td> 0.97219517</td><td>8.141450</td><td>6.117483</td><td>109.93320</td><td>177.9684</td><td>0.7239091</td><td> 0.12278141</td><td>0.9900678</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 8 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 | Theil's U |\n|---|---|---|---|---|---|---|---|---|\n| Training set | -0.01368221 | 9.317223 | 6.398819 |  99.97907 | 253.7069 | 0.7572009 | -0.05440377 |        NA |\n| Test set |  0.97219517 | 8.141450 | 6.117483 | 109.93320 | 177.9684 | 0.7239091 |  0.12278141 | 0.9900678 |\n\n",
            "text/latex": "A matrix: 2 × 8 of type dbl\n\\begin{tabular}{r|llllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1 & Theil's U\\\\\n\\hline\n\tTraining set & -0.01368221 & 9.317223 & 6.398819 &  99.97907 & 253.7069 & 0.7572009 & -0.05440377 &        NA\\\\\n\tTest set &  0.97219517 & 8.141450 & 6.117483 & 109.93320 & 177.9684 & 0.7239091 &  0.12278141 & 0.9900678\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME          RMSE     MAE      MPE       MAPE     MASE     \n",
              "Training set -0.01368221 9.317223 6.398819  99.97907 253.7069 0.7572009\n",
              "Test set      0.97219517 8.141450 6.117483 109.93320 177.9684 0.7239091\n",
              "             ACF1        Theil's U\n",
              "Training set -0.05440377        NA\n",
              "Test set      0.12278141 0.9900678"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "goog.dif <- diff(goog200[1:180])\n",
        "goog.dif.test <- diff(goog200[181:200])\n",
        "\n",
        "alpha <- seq(0.01, 0.99, by = 0.01)\n",
        "RMSE <- map_dbl(alpha, ~accuracy(ses(goog.dif, alpha = .x, h = length(goog.dif.test)), goog.dif.test)[2, 2])\n",
        "\n",
        "alpha.fit <- tibble(alpha, RMSE)\n",
        "ggplot(alpha.fit, aes(alpha, RMSE)) +\n",
        "  geom_line() +\n",
        "  geom_point(data = filter(alpha.fit, RMSE == min(RMSE)), color = \"red\", size = 2) +\n",
        "  labs(title = \"Optimal Alpha for SES\", x = \"Alpha\", y = \"RMSE\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "Ie-C4MkO2LbU",
        "outputId": "29c9fa50-7eed-4066-bdaa-2a049a206c36"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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7N27dqOHTuKjoPnRbEDAAD/48qVK66urg8fPgwKCnJxcREdBy+AYgcAAP7rr7/+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\nkIn/ByprY14JkarXAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ses.goog.opt <- ses(goog.dif, alpha = 0.05, h = 100)\n",
        "accuracy(ses.goog.opt, goog.dif.test)\n",
        "\n",
        "start_time_for_goog_dif_test <- time(goog)[182]\n",
        "goog.dif.test_ts <- ts(goog.dif.test, start = start_time_for_goog_dif_test, frequency = frequency(goog))\n",
        "\n",
        "p2 <- autoplot(goog.dif.test_ts) + autolayer(ses.goog.opt, alpha = 0.5) +\n",
        "  ggtitle(\"Predicted vs. actuals for the test data set\")\n",
        "p2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 549
        },
        "id": "x2gxeJ-Z2LeS",
        "outputId": "16633bed-38c2-45db-d47b-62112f3d6b27"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 7 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>0.07978948</td><td>6.477087</td><td>4.018746</td><td> 73.14241</td><td>175.9245</td><td>0.7282992</td><td>-0.08329362</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td>0.03709092</td><td>3.796418</td><td>3.194934</td><td>139.92041</td><td>153.7994</td><td>0.5790034</td><td>         NA</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 7 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 |\n|---|---|---|---|---|---|---|---|\n| Training set | 0.07978948 | 6.477087 | 4.018746 |  73.14241 | 175.9245 | 0.7282992 | -0.08329362 |\n| Test set | 0.03709092 | 3.796418 | 3.194934 | 139.92041 | 153.7994 | 0.5790034 |          NA |\n\n",
            "text/latex": "A matrix: 2 × 7 of type dbl\n\\begin{tabular}{r|lllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1\\\\\n\\hline\n\tTraining set & 0.07978948 & 6.477087 & 4.018746 &  73.14241 & 175.9245 & 0.7282992 & -0.08329362\\\\\n\tTest set & 0.03709092 & 3.796418 & 3.194934 & 139.92041 & 153.7994 & 0.5790034 &          NA\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME         RMSE     MAE      MPE       MAPE     MASE     \n",
              "Training set 0.07978948 6.477087 4.018746  73.14241 175.9245 0.7282992\n",
              "Test set     0.03709092 3.796418 3.194934 139.92041 153.7994 0.5790034\n",
              "             ACF1       \n",
              "Training set -0.08329362\n",
              "Test set              NA"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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Gmau+6665lnnrlixYrsx6xYsWLWrFnt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\ngfj/6gK8xBwOgdIAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Holt's Method**"
      ],
      "metadata": {
        "id": "Y9eaDWu-2mSb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"fpp2\")\n",
        "install.packages(\"tidyverse\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "C_z8PoyW2Lgc",
        "outputId": "cb1a1c77-4ebd-46b3-da61-713c0543962b"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘colorspace’, ‘fracdiff’, ‘lmtest’, ‘timeDate’, ‘urca’, ‘zoo’, ‘RcppArmadillo’, ‘expsmooth’, ‘fma’, ‘forecast’\n",
            "\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(tidyverse)\n",
        "library(fpp2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "M-6O54qB2LjC",
        "outputId": "e523a8ac-633e-4d14-b608-aed0aaa2f24c"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "── \u001b[1mAttaching core tidyverse packages\u001b[22m ──────────────────────── tidyverse 2.0.0 ──\n",
            "\u001b[32m✔\u001b[39m \u001b[34mdplyr    \u001b[39m 1.2.0     \u001b[32m✔\u001b[39m \u001b[34mreadr    \u001b[39m 2.1.6\n",
            "\u001b[32m✔\u001b[39m \u001b[34mforcats  \u001b[39m 1.0.1     \u001b[32m✔\u001b[39m \u001b[34mstringr  \u001b[39m 1.6.0\n",
            "\u001b[32m✔\u001b[39m \u001b[34mggplot2  \u001b[39m 4.0.2     \u001b[32m✔\u001b[39m \u001b[34mtibble   \u001b[39m 3.3.1\n",
            "\u001b[32m✔\u001b[39m \u001b[34mlubridate\u001b[39m 1.9.5     \u001b[32m✔\u001b[39m \u001b[34mtidyr    \u001b[39m 1.3.2\n",
            "\u001b[32m✔\u001b[39m \u001b[34mpurrr    \u001b[39m 1.2.1     \n",
            "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
            "\u001b[36mℹ\u001b[39m Use the conflicted package (\u001b[3m\u001b[34m<http://conflicted.r-lib.org/>\u001b[39m\u001b[23m) to force all conflicts to become errors\n",
            "── \u001b[1mAttaching packages\u001b[22m ──────────────────────────────────────────── fpp2 2.5.1 ──\n",
            "\n",
            "\u001b[32m✔\u001b[39m \u001b[34mforecast \u001b[39m 9.0.1     \u001b[32m✔\u001b[39m \u001b[34mexpsmooth\u001b[39m 2.3  \n",
            "\u001b[32m✔\u001b[39m \u001b[34mfma      \u001b[39m 2.5       \n",
            "\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "goog.train <- window(goog, end = 900)\n",
        "goog.test <- window(goog, start = 901)"
      ],
      "metadata": {
        "id": "8-yOrlNk2LlS"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "beta <- seq(0.0001, 0.5, by = 0.01)\n",
        "RMSE <- NA\n",
        "\n",
        "for(i in seq_along(beta)) {\n",
        "  fit <- holt(goog.train, beta = beta[i], h = 100)\n",
        "  RMSE[i] <- accuracy(fit, goog.test)[2,2]\n",
        "}\n",
        "\n",
        "beta.fit <- data.frame(beta, RMSE)\n",
        "beta.min <- filter(beta.fit, RMSE == min(RMSE))\n",
        "\n",
        "library(ggplot2)\n",
        "\n",
        "ggplot(beta.fit, aes(beta, RMSE)) +\n",
        "  geom_line(color = \"steelblue\") +\n",
        "  geom_point(data = beta.min, aes(beta, RMSE), color = \"red\", size = 3) +\n",
        "  labs(title = \"RMSE vs Beta (Holt's Method)\", x = \"Beta\", y = \"RMSE\") +\n",
        "  theme_minimal()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "_YgzOua72LoC",
        "outputId": "1afed7d6-5229-4b95-f69b-4ab0113edcad"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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DZ7HWzqvUkAAG2EEoqdEOKdd97x8vJa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\nQbEDAAAwiP8PMgFnQZltkSsAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "holt.goog <- holt(goog.train, h = 100)\n",
        "accuracy(holt.goog, goog.test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 129
        },
        "id": "NN9eb9xHG39-",
        "outputId": "a4d5509d-4f44-44db-b8f5-d938a3041d29"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 8 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th><th scope=col>Theil's U</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>-0.003332796</td><td> 8.795267</td><td> 5.821057</td><td>-0.01211821</td><td>1.000720</td><td>1.002452</td><td>0.03100836</td><td>      NA</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td> 0.545744415</td><td>16.328680</td><td>12.876836</td><td> 0.03013427</td><td>1.646261</td><td>2.217538</td><td>0.87733298</td><td>2.024518</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 8 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 | Theil's U |\n|---|---|---|---|---|---|---|---|---|\n| Training set | -0.003332796 |  8.795267 |  5.821057 | -0.01211821 | 1.000720 | 1.002452 | 0.03100836 |       NA |\n| Test set |  0.545744415 | 16.328680 | 12.876836 |  0.03013427 | 1.646261 | 2.217538 | 0.87733298 | 2.024518 |\n\n",
            "text/latex": "A matrix: 2 × 8 of type dbl\n\\begin{tabular}{r|llllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1 & Theil's U\\\\\n\\hline\n\tTraining set & -0.003332796 &  8.795267 &  5.821057 & -0.01211821 & 1.000720 & 1.002452 & 0.03100836 &       NA\\\\\n\tTest set &  0.545744415 & 16.328680 & 12.876836 &  0.03013427 & 1.646261 & 2.217538 & 0.87733298 & 2.024518\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME           RMSE      MAE       MPE         MAPE     MASE    \n",
              "Training set -0.003332796  8.795267  5.821057 -0.01211821 1.000720 1.002452\n",
              "Test set      0.545744415 16.328680 12.876836  0.03013427 1.646261 2.217538\n",
              "             ACF1       Theil's U\n",
              "Training set 0.03100836       NA \n",
              "Test set     0.87733298 2.024518 "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "holt.goog <- holt(goog.train, h = 100)\n",
        "holt.goog.opt <- holt(goog.train, beta = 0.0601, h = 100)\n",
        "\n",
        "install.packages(\"gridExtra\")\n",
        "library(gridExtra)\n",
        "\n",
        "p1 <- autoplot(holt.goog) +\n",
        "  ggtitle(\"Original Holt's Model\") +\n",
        "  theme_minimal()\n",
        "\n",
        "p2 <- autoplot(holt.goog.opt) +\n",
        "  ggtitle(\"Optimal Holt's Model\") +\n",
        "  theme_minimal()\n",
        "\n",
        "grid.arrange(p1, p2, ncol = 2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 645
        },
        "id": "THBQxbd8G4Ag",
        "outputId": "0a7fbd04-9fe5-499e-9fba-66626f4dc32c"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "\n",
            "Attaching package: ‘gridExtra’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:dplyr’:\n",
            "\n",
            "    combine\n",
            "\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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BAEOwAAAIMg2AEAABgEwQ5AijHBDgAShWAHAABgEAQ7AEmX7A05AQASwQ4AAMAg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GRrJEQ37pEzbYt2/fESNGwF/LqZaWlqIE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\nAADQif8HouxzzAq5VtcAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Holt-Winter's Seasonal Method**"
      ],
      "metadata": {
        "id": "xVjpn_1RG9ah"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"fpp2\")\n",
        "install.packages(\"tidyverse\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sM81r2iaG4DN",
        "outputId": "6399836e-7972-48f9-bb8d-c93f42fb85b0"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(fpp2)\n",
        "library(tidyverse)"
      ],
      "metadata": {
        "id": "jwc5nd3RQIhy"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "qcement.train <- window(qcement, end = c(2012, 4))\n",
        "qcement.test <- window(qcement, start = c(2013, 1))"
      ],
      "metadata": {
        "id": "rsOJBAfEQIkf"
      },
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "qcement.hw <- ets(qcement.train, model = \"AAA\")\n",
        "summary(qcement.hw)\n",
        "checkresiduals(qcement.hw)\n",
        "\n",
        "qcement.f1 <- forecast(qcement.hw, h = 8)\n",
        "accuracy(qcement.f1, qcement.test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "h69f4Mk6QInC",
        "outputId": "8408a1c1-f2bf-483b-9118-62155e4ca5e4"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "ETS(A,A,A) \n",
              "\n",
              "Call:\n",
              "ets(y = qcement.train, model = \"AAA\")\n",
              "\n",
              "  Smoothing parameters:\n",
              "    alpha = 0.6418 \n",
              "    beta  = 1e-04 \n",
              "    gamma = 0.1988 \n",
              "\n",
              "  Initial states:\n",
              "    l = 0.4511 \n",
              "    b = 0.0075 \n",
              "    s = 0.0049 0.0307 9e-04 -0.0365\n",
              "\n",
              "  sigma:  0.0854\n",
              "\n",
              "     AIC     AICc      BIC \n",
              "126.0419 126.8676 156.9060 \n",
              "\n",
              "Training set error measures:\n",
              "                      ME       RMSE       MAE          MPE     MAPE      MASE\n",
              "Training set 0.001463693 0.08393279 0.0597683 -0.003454533 3.922727 0.5912949\n",
              "                   ACF1\n",
              "Training set 0.02150539"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "\tLjung-Box test\n",
            "\n",
            "data:  Residuals from ETS(A,A,A)\n",
            "Q* = 13.527, df = 8, p-value = 0.09495\n",
            "\n",
            "Model df: 0.   Total lags used: 8\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 8 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th><th scope=col>Theil's U</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>0.001463693</td><td>0.08393279</td><td>0.05976830</td><td>-0.003454533</td><td>3.922727</td><td>0.5912949</td><td> 0.02150539</td><td>       NA</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td>0.031362775</td><td>0.07144211</td><td>0.06791904</td><td> 1.115342984</td><td>2.899446</td><td>0.6719311</td><td>-0.31290496</td><td>0.2112428</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 8 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 | Theil's U |\n|---|---|---|---|---|---|---|---|---|\n| Training set | 0.001463693 | 0.08393279 | 0.05976830 | -0.003454533 | 3.922727 | 0.5912949 |  0.02150539 |        NA |\n| Test set | 0.031362775 | 0.07144211 | 0.06791904 |  1.115342984 | 2.899446 | 0.6719311 | -0.31290496 | 0.2112428 |\n\n",
            "text/latex": "A matrix: 2 × 8 of type dbl\n\\begin{tabular}{r|llllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1 & Theil's U\\\\\n\\hline\n\tTraining set & 0.001463693 & 0.08393279 & 0.05976830 & -0.003454533 & 3.922727 & 0.5912949 &  0.02150539 &        NA\\\\\n\tTest set & 0.031362775 & 0.07144211 & 0.06791904 &  1.115342984 & 2.899446 & 0.6719311 & -0.31290496 & 0.2112428\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME          RMSE       MAE        MPE          MAPE     MASE     \n",
              "Training set 0.001463693 0.08393279 0.05976830 -0.003454533 3.922727 0.5912949\n",
              "Test set     0.031362775 0.07144211 0.06791904  1.115342984 2.899446 0.6719311\n",
              "             ACF1        Theil's U\n",
              "Training set  0.02150539        NA\n",
              "Test set     -0.31290496 0.2112428"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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KVKlTfffPPGjRuiOnYem+qIYx07LEe3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LhdEf6NKlixY7iwooQXmTfoVFJ52arJO7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\nmTNn3bp1d9xxh9lsXrNmzZVXXnnNNdfs2bNH7NJADhSNp3Q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f/Q7BTmakd215xAAAIABJREFUEuySk5PNZrMgCP7o1tzcnJKSEtE8aWlp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\nAECEQGEHAAAAECH+PyPDlGmrmA2AAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "qcement.hw2 <- ets(qcement.train, model = \"MAM\")\n",
        "checkresiduals(qcement.hw2)\n",
        "\n",
        "qcement.f6 <- forecast(qcement.hw2, h = 8)\n",
        "accuracy(qcement.f6, qcement.test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 688
        },
        "id": "tG36PkFnQIpt",
        "outputId": "b7d4627a-ce2d-4b7b-9381-1eabed0ed077"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "\tLjung-Box test\n",
            "\n",
            "data:  Residuals from ETS(M,A,M)\n",
            "Q* = 16.002, df = 8, p-value = 0.04235\n",
            "\n",
            "Model df: 0.   Total lags used: 8\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 8 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th><th scope=col>Theil's U</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>0.0009645886</td><td>0.07807481</td><td>0.05595930</td><td>-0.02540554</td><td>3.657772</td><td>0.5536120</td><td>-0.03038457</td><td>       NA</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td>0.0164979314</td><td>0.08297241</td><td>0.07162921</td><td> 0.37381187</td><td>3.064455</td><td>0.7086363</td><td>-0.06185361</td><td>0.1930288</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 8 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 | Theil's U |\n|---|---|---|---|---|---|---|---|---|\n| Training set | 0.0009645886 | 0.07807481 | 0.05595930 | -0.02540554 | 3.657772 | 0.5536120 | -0.03038457 |        NA |\n| Test set | 0.0164979314 | 0.08297241 | 0.07162921 |  0.37381187 | 3.064455 | 0.7086363 | -0.06185361 | 0.1930288 |\n\n",
            "text/latex": "A matrix: 2 × 8 of type dbl\n\\begin{tabular}{r|llllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1 & Theil's U\\\\\n\\hline\n\tTraining set & 0.0009645886 & 0.07807481 & 0.05595930 & -0.02540554 & 3.657772 & 0.5536120 & -0.03038457 &        NA\\\\\n\tTest set & 0.0164979314 & 0.08297241 & 0.07162921 &  0.37381187 & 3.064455 & 0.7086363 & -0.06185361 & 0.1930288\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME           RMSE       MAE        MPE         MAPE     MASE     \n",
              "Training set 0.0009645886 0.07807481 0.05595930 -0.02540554 3.657772 0.5536120\n",
              "Test set     0.0164979314 0.08297241 0.07162921  0.37381187 3.064455 0.7086363\n",
              "             ACF1        Theil's U\n",
              "Training set -0.03038457        NA\n",
              "Test set     -0.06185361 0.1930288"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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DJy/vz5iRMn/vOf//zyyy8T3RYEuWhBV2xckUvYqciSQi12Kkr4iAoFuWJPnDih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TTjC7REwSKdqneip4QjLFptPpZDIpAjsz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NGjR5933nknTpzo169fWgubGGp/J3xqvbTg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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "qcement.f6"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 173
        },
        "id": "7iShXxQDQIsi",
        "outputId": "f6878089-9b75-4ee1-e8ee-df78223e165f"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "        Point Forecast    Lo 80    Hi 80    Lo 95    Hi 95\n",
              "2013 Q1       2.186828 2.053043 2.320613 1.982222 2.391435\n",
              "2013 Q2       2.458482 2.267959 2.649005 2.167102 2.749862\n",
              "2013 Q3       2.549313 2.316618 2.782008 2.193437 2.905189\n",
              "2013 Q4       2.512089 2.251981 2.772197 2.114288 2.909889\n",
              "2014 Q1       2.218799 1.964118 2.473480 1.829297 2.608300\n",
              "2014 Q2       2.494293 2.181824 2.806762 2.016413 2.972173\n",
              "2014 Q3       2.586312 2.236663 2.935961 2.051570 3.121054\n",
              "2014 Q4       2.548416 2.179766 2.917067 1.984614 3.112219"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "b8k7vopPRDcf"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "ARg2gFK4RD0_"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Damped Trend Method**"
      ],
      "metadata": {
        "id": "JtBWJ26WRD_G"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"fpp2\")\n",
        "install.packages(\"forecast\")\n",
        "library(fpp2)\n",
        "library(forecast)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZcEPYfU2QIvQ",
        "outputId": "1870db6d-0809-412c-fcda-602c04b1b86c"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "beer.train <- window(ausbeer, end = c(2007, 4))\n",
        "beer.test <- window(ausbeer, start = c(2008, 1))"
      ],
      "metadata": {
        "id": "PzG2K41H2LrB"
      },
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "damped.model <- holt(beer.train, damped = TRUE, alpha = 0.8, beta = 0.2, phi = 0.9, h = length(beer.test))"
      ],
      "metadata": {
        "id": "Q9zqvuC6RTfu"
      },
      "execution_count": 16,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "autoplot(beer.train, series = \"Training Data\") +\n",
        "  autolayer(beer.test, series = \"Actual Test Data\") +\n",
        "  autolayer(damped.model$mean, series = \"Damped Trend Forecast\") +\n",
        "  ggtitle(\"Damped Trend Forecast vs Actuals\") +\n",
        "  xlab(\"Year\") + ylab(\"Beer Production\") +\n",
        "  guides(colour = guide_legend(title = \"Series\"))\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "G34Zb4mhRTih",
        "outputId": "cc115b21-d64f-42a2-8c31-9dd2893116ce"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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5Q7mbOu2CZi7DK0YJIVCwAAoBkg7ABoG21MnogsrliiJDd2TtFKq1xXVuwc1K8A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uaHfy5a27ADx66TIAjnf645hTx1tRUbGT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\nRK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "accuracy(damped.model, beer.test)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 129
        },
        "id": "BzjaU9TcRTlO",
        "outputId": "4d8230e3-c2b4-476d-f37d-b89ccf52f3c2"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A matrix: 2 × 8 of type dbl</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>ME</th><th scope=col>RMSE</th><th scope=col>MAE</th><th scope=col>MPE</th><th scope=col>MAPE</th><th scope=col>MASE</th><th scope=col>ACF1</th><th scope=col>Theil's U</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Training set</th><td>  0.6835352</td><td>71.65987</td><td>60.05786</td><td> -1.200916</td><td>14.21379</td><td>3.796654</td><td>-0.16537651</td><td>      NA</td></tr>\n",
              "\t<tr><th scope=row>Test set</th><td>-73.7215213</td><td>83.65805</td><td>73.72152</td><td>-18.291533</td><td>18.29153</td><td>4.660425</td><td>-0.01330197</td><td>1.697897</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA matrix: 2 × 8 of type dbl\n\n| <!--/--> | ME | RMSE | MAE | MPE | MAPE | MASE | ACF1 | Theil's U |\n|---|---|---|---|---|---|---|---|---|\n| Training set |   0.6835352 | 71.65987 | 60.05786 |  -1.200916 | 14.21379 | 3.796654 | -0.16537651 |       NA |\n| Test set | -73.7215213 | 83.65805 | 73.72152 | -18.291533 | 18.29153 | 4.660425 | -0.01330197 | 1.697897 |\n\n",
            "text/latex": "A matrix: 2 × 8 of type dbl\n\\begin{tabular}{r|llllllll}\n  & ME & RMSE & MAE & MPE & MAPE & MASE & ACF1 & Theil's U\\\\\n\\hline\n\tTraining set &   0.6835352 & 71.65987 & 60.05786 &  -1.200916 & 14.21379 & 3.796654 & -0.16537651 &       NA\\\\\n\tTest set & -73.7215213 & 83.65805 & 73.72152 & -18.291533 & 18.29153 & 4.660425 & -0.01330197 & 1.697897\\\\\n\\end{tabular}\n",
            "text/plain": [
              "             ME          RMSE     MAE      MPE        MAPE     MASE    \n",
              "Training set   0.6835352 71.65987 60.05786  -1.200916 14.21379 3.796654\n",
              "Test set     -73.7215213 83.65805 73.72152 -18.291533 18.29153 4.660425\n",
              "             ACF1        Theil's U\n",
              "Training set -0.16537651       NA \n",
              "Test set     -0.01330197 1.697897 "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "M42XzPmuRTn2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "UkrGK0ZlRTqh"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "YIvmcw2RRTtO"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}