Time_Series_Forecasting.ipynb

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      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.pyplot import rcParams"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data=pd.read_csv(\"AirPassengers.csv\")"
      ],
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              "     Month  #Passengers\n",
              "0  1949-01          112\n",
              "1  1949-02          118\n",
              "2  1949-03          132\n",
              "3  1949-04          129\n",
              "4  1949-05          121"
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              "type": "dataframe",
              "variable_name": "data",
              "summary": "{\n  \"name\": \"data\",\n  \"rows\": 144,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"object\",\n        \"num_unique_values\": 144,\n        \"samples\": [\n          \"1958-10\",\n          \"1950-08\",\n          \"1955-11\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 119,\n        \"min\": 104,\n        \"max\": 622,\n        \"num_unique_values\": 118,\n        \"samples\": [\n          293,\n          340,\n          121\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
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          },
          "metadata": {},
          "execution_count": 9
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      "source": [
        "data['Month']=pd.to_datetime(data['Month'],infer_datetime_format=True)"
      ],
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          "text": [
            "<ipython-input-10-9b71f5305629>:1: UserWarning: The argument 'infer_datetime_format' is deprecated and will be removed in a future version. A strict version of it is now the default, see https://pandas.pydata.org/pdeps/0004-consistent-to-datetime-parsing.html. You can safely remove this argument.\n",
            "  data['Month']=pd.to_datetime(data['Month'],infer_datetime_format=True)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "IndexData=data.set_index(['Month'])"
      ],
      "metadata": {
        "id": "x37LF3iBpzMa"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from datetime import datetime\n",
        "IndexData.head()"
      ],
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 237
        },
        "id": "mFn1-LS7pMGQ",
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              "            #Passengers\n",
              "Month                  \n",
              "1949-01-01          112\n",
              "1949-02-01          118\n",
              "1949-03-01          132\n",
              "1949-04-01          129\n",
              "1949-05-01          121"
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              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-fb78be85-d17b-4fcb-ae27-25d3ca9e3640 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "IndexData",
              "summary": "{\n  \"name\": \"IndexData\",\n  \"rows\": 144,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"1949-01-01 00:00:00\",\n        \"max\": \"1960-12-01 00:00:00\",\n        \"num_unique_values\": 144,\n        \"samples\": [\n          \"1958-10-01 00:00:00\",\n          \"1950-08-01 00:00:00\",\n          \"1955-11-01 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 119,\n        \"min\": 104,\n        \"max\": 622,\n        \"num_unique_values\": 118,\n        \"samples\": [\n          293,\n          340,\n          121\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.xlabel('Date')\n",
        "plt.ylabel('Number of passenger')\n",
        "plt.plot(IndexData)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "l44DTVsypo4N",
        "outputId": "534c3874-a277-4117-f683-1bbf80c16441"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7a5b6df6e770>]"
            ]
          },
          "metadata": {},
          "execution_count": 13
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rolmean=IndexData.rolling(window=12).mean()\n",
        "rolstd=IndexData.rolling(window=12).std()\n",
        "print(rolmean, rolstd)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "r4X7x329qwLH",
        "outputId": "c37923ca-773f-49d1-f299-f6d1c392973d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01   463.333333\n",
            "1960-09-01   467.083333\n",
            "1960-10-01   471.583333\n",
            "1960-11-01   473.916667\n",
            "1960-12-01   476.166667\n",
            "\n",
            "[144 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01    83.630500\n",
            "1960-09-01    84.617276\n",
            "1960-10-01    82.541954\n",
            "1960-11-01    79.502382\n",
            "1960-12-01    77.737125\n",
            "\n",
            "[144 rows x 1 columns]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#rolling stat\n",
        "orginal=plt.plot(IndexData, color='red', label ='Og')\n",
        "mean=plt.plot(rolmean, color='blue', label=\"Rolling mean\")\n",
        "std=plt.plot(rolstd, color='black', label=\"Rolling Std\")\n",
        "plt.legend(loc='best')\n",
        "plt.show()\n",
        "\n",
        "\n",
        "# we use # conclude the data is not stationary"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "PiTv2UfHrK1t",
        "outputId": "608fe17b-b795-42d1-83f0-f0121c8b6791"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def plot_graph(timeseries):\n",
        "  rolmean=timeseries.rolling(window=12).mean()\n",
        "  rolstd=timeseries.rolling(window=12).std()\n",
        "  print(rolmean, rolstd)\n",
        "\n",
        "  orginal=plt.plot(timeseries, color='red', label ='Og')\n",
        "  mean=plt.plot(rolmean, color='blue', label=\"Rolling mean\")\n",
        "  std=plt.plot(rolstd, color='black', label=\"Rolling Std\")\n",
        "  plt.legend(loc='best')\n",
        "  plt.title('Time Series with rolling mean and std. dev.')\n",
        "  plt.show()\n",
        "\n"
      ],
      "metadata": {
        "id": "MmyXMv8m62fI"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plot_graph(IndexData)"
      ],
      "metadata": {
        "id": "yK-YlLx37Xpz",
        "outputId": "ca70f3f6-5f49-449b-d6f3-650e02bf97b8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 955
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01   463.333333\n",
            "1960-09-01   467.083333\n",
            "1960-10-01   471.583333\n",
            "1960-11-01   473.916667\n",
            "1960-12-01   476.166667\n",
            "\n",
            "[144 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01    83.630500\n",
            "1960-09-01    84.617276\n",
            "1960-10-01    82.541954\n",
            "1960-11-01    79.502382\n",
            "1960-12-01    77.737125\n",
            "\n",
            "[144 rows x 1 columns]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def adcf_test(timeseries):\n",
        "  from statsmodels.tsa.stattools import adfuller\n",
        "  dftest = adfuller(timeseries)\n",
        "  print(dftest)"
      ],
      "metadata": {
        "id": "mwiMpRGh7fi7"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "adcf_test(IndexData)"
      ],
      "metadata": {
        "id": "vn1hxcg47yhx",
        "outputId": "6498b68b-1b79-477d-dc76-b26bacea39dc",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(0.8153688792060498, 0.991880243437641, 13, 130, {'1%': -3.4816817173418295, '5%': -2.8840418343195267, '10%': -2.578770059171598}, 996.692930839019)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def test_stationarity(timeseries):\n",
        "  rolmean=timeseries.rolling(window=12).mean()\n",
        "  rolstd=timeseries.rolling(window=12).std()\n",
        "  print(rolmean, rolstd)\n",
        "\n",
        "  orginal=plt.plot(timeseries, color='red', label ='Og')\n",
        "  mean=plt.plot(rolmean, color='blue', label=\"Rolling mean\")\n",
        "  std=plt.plot(rolstd, color='black', label=\"Rolling Std\")\n",
        "  plt.legend(loc='best')\n",
        "  plt.title('Time Series with rolling mean and std. dev.')\n",
        "  plt.show()\n",
        "\n",
        "  from statsmodels.tsa.stattools import adfuller\n",
        "  dftest = adfuller(timeseries)\n",
        "\n",
        "  print(dftest)"
      ],
      "metadata": {
        "id": "Qt-Rmdm68DxQ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "test_stationarity(IndexData)"
      ],
      "metadata": {
        "id": "MuxZQgY08WPT",
        "outputId": "09b0a419-c4b1-49cf-8e1a-2087147f9f84",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 973
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01   463.333333\n",
            "1960-09-01   467.083333\n",
            "1960-10-01   471.583333\n",
            "1960-11-01   473.916667\n",
            "1960-12-01   476.166667\n",
            "\n",
            "[144 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01    83.630500\n",
            "1960-09-01    84.617276\n",
            "1960-10-01    82.541954\n",
            "1960-11-01    79.502382\n",
            "1960-12-01    77.737125\n",
            "\n",
            "[144 rows x 1 columns]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(0.8153688792060498, 0.991880243437641, 13, 130, {'1%': -3.4816817173418295, '5%': -2.8840418343195267, '10%': -2.578770059171598}, 996.692930839019)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "IndexData_logScale=np.log(IndexData)\n",
        "plt.plot(IndexData_logScale)"
      ],
      "metadata": {
        "id": "TcPxczCI9cpg",
        "outputId": "af305c0d-9e9a-445e-b983-e06cc6090e2c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7a5b674885b0>]"
            ]
          },
          "metadata": {},
          "execution_count": 37
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "IndexData_logScale=np.log(IndexData)\n",
        "test_stationarity(IndexData_logScale)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 993
        },
        "id": "HNz89R-lr0JA",
        "outputId": "5945731b-c3b8-41a1-a6de-9df1fa163e60"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     6.124517\n",
            "1960-09-01     6.132246\n",
            "1960-10-01     6.142628\n",
            "1960-11-01     6.148837\n",
            "1960-12-01     6.154215\n",
            "\n",
            "[144 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-01-01          NaN\n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     0.171453\n",
            "1960-09-01     0.174172\n",
            "1960-10-01     0.169804\n",
            "1960-11-01     0.160923\n",
            "1960-12-01     0.156660\n",
            "\n",
            "[144 rows x 1 columns]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(-1.7170170891069683, 0.4223667747703874, 13, 130, {'1%': -3.4816817173418295, '5%': -2.8840418343195267, '10%': -2.578770059171598}, -445.3990312497209)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Movingavg= IndexData_logScale.rolling(window=12).mean()\n",
        "movingstd= IndexData_logScale.rolling(window=12).mean()"
      ],
      "metadata": {
        "id": "d_y5phHCstad"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(IndexData_logScale)\n",
        "plt.plot(Movingavg, color='red')\n",
        "\n",
        "# mean is not stationary as it moves with time"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "Tk-8U4hJtKHE",
        "outputId": "737aae24-7d05-469a-d8fe-9e05b2ad5829"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7a5b6bcdc5e0>]"
            ]
          },
          "metadata": {},
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# for getting time series as stationary\n",
        "dataset_Log_minus_moving_avg= IndexData_logScale-Movingavg\n",
        "dataset_Log_minus_moving_avg.head(12)"
      ],
      "metadata": {
        "id": "zgsDpJittWND",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 457
        },
        "outputId": "a99c9e14-bafe-4e2e-eb10-5e45e2c9f28f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            #Passengers\n",
              "Month                  \n",
              "1949-01-01          NaN\n",
              "1949-02-01          NaN\n",
              "1949-03-01          NaN\n",
              "1949-04-01          NaN\n",
              "1949-05-01          NaN\n",
              "1949-06-01          NaN\n",
              "1949-07-01          NaN\n",
              "1949-08-01          NaN\n",
              "1949-09-01          NaN\n",
              "1949-10-01          NaN\n",
              "1949-11-01          NaN\n",
              "1949-12-01    -0.065494"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-13d57ec5-390c-4bab-af1e-cb914b6abae8\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>#Passengers</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Month</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1949-01-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-02-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-03-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-04-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-05-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-06-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-07-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-08-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-09-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-10-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-11-01</th>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1949-12-01</th>\n",
              "      <td>-0.065494</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-13d57ec5-390c-4bab-af1e-cb914b6abae8')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-13d57ec5-390c-4bab-af1e-cb914b6abae8 button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-13d57ec5-390c-4bab-af1e-cb914b6abae8');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-b291a37b-8570-40c6-9e19-f0ab4c89c5c6\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-b291a37b-8570-40c6-9e19-f0ab4c89c5c6')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-b291a37b-8570-40c6-9e19-f0ab4c89c5c6 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "dataset_Log_minus_moving_avg",
              "summary": "{\n  \"name\": \"dataset_Log_minus_moving_avg\",\n  \"rows\": 144,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"1949-01-01 00:00:00\",\n        \"max\": \"1960-12-01 00:00:00\",\n        \"num_unique_values\": 144,\n        \"samples\": [\n          \"1958-10-01 00:00:00\",\n          \"1950-08-01 00:00:00\",\n          \"1955-11-01 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.13502867562193388,\n        \"min\": -0.21278602732084373,\n        \"max\": 0.33150925596573266,\n        \"num_unique_values\": 133,\n        \"samples\": [\n          0.05138154457248589,\n          0.14774796805182966,\n          0.2281376856108599\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# rempove nan\n",
        "dataset_Log_minus_moving_avg.dropna(inplace=True)\n",
        "dataset_Log_minus_moving_avg.head(10)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 394
        },
        "id": "204NpBBQs_-3",
        "outputId": "41301bb0-4118-4398-a3c0-2ae0231024a8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            #Passengers\n",
              "Month                  \n",
              "1949-12-01    -0.065494\n",
              "1950-01-01    -0.093449\n",
              "1950-02-01    -0.007566\n",
              "1950-03-01     0.099416\n",
              "1950-04-01     0.052142\n",
              "1950-05-01    -0.027529\n",
              "1950-06-01     0.139881\n",
              "1950-07-01     0.260184\n",
              "1950-08-01     0.248635\n",
              "1950-09-01     0.162937"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-c932d0d2-2833-4bb3-b67c-8e3316ef45e3\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "\n",
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>#Passengers</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Month</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1949-12-01</th>\n",
              "      <td>-0.065494</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-01-01</th>\n",
              "      <td>-0.093449</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-02-01</th>\n",
              "      <td>-0.007566</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-03-01</th>\n",
              "      <td>0.099416</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-04-01</th>\n",
              "      <td>0.052142</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-05-01</th>\n",
              "      <td>-0.027529</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-06-01</th>\n",
              "      <td>0.139881</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-07-01</th>\n",
              "      <td>0.260184</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-08-01</th>\n",
              "      <td>0.248635</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1950-09-01</th>\n",
              "      <td>0.162937</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-c932d0d2-2833-4bb3-b67c-8e3316ef45e3')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
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              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
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              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-c932d0d2-2833-4bb3-b67c-8e3316ef45e3 button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-c932d0d2-2833-4bb3-b67c-8e3316ef45e3');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-ca60fd9a-7a6e-429b-b96d-f7930397f403\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-ca60fd9a-7a6e-429b-b96d-f7930397f403')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-ca60fd9a-7a6e-429b-b96d-f7930397f403 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "dataset_Log_minus_moving_avg",
              "summary": "{\n  \"name\": \"dataset_Log_minus_moving_avg\",\n  \"rows\": 133,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"1949-12-01 00:00:00\",\n        \"max\": \"1960-12-01 00:00:00\",\n        \"num_unique_values\": 133,\n        \"samples\": [\n          \"1954-03-01 00:00:00\",\n          \"1955-09-01 00:00:00\",\n          \"1952-07-01 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.13502867562193388,\n        \"min\": -0.21278602732084373,\n        \"max\": 0.33150925596573266,\n        \"num_unique_values\": 133,\n        \"samples\": [\n          0.05138154457248589,\n          0.14774796805182966,\n          0.2281376856108599\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Movingavg= IndexData_logScale.rolling(window=12).mean()\n",
        "dataset_Log_minus_moving_avg= IndexData_logScale-Movingavg\n",
        "dataset_Log_minus_moving_avg.dropna(inplace=True)\n",
        "test_stationarity(dataset_Log_minus_moving_avg)"
      ],
      "metadata": {
        "id": "8F--9nZ3-T96",
        "outputId": "b5a32bc3-c259-44c4-d0ca-3998366e37ac",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 993
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-12-01          NaN\n",
            "1950-01-01          NaN\n",
            "1950-02-01          NaN\n",
            "1950-03-01          NaN\n",
            "1950-04-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     0.053566\n",
            "1960-09-01     0.051081\n",
            "1960-10-01     0.051255\n",
            "1960-11-01     0.047814\n",
            "1960-12-01     0.044372\n",
            "\n",
            "[133 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-12-01          NaN\n",
            "1950-01-01          NaN\n",
            "1950-02-01          NaN\n",
            "1950-03-01          NaN\n",
            "1950-04-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     0.145302\n",
            "1960-09-01     0.144162\n",
            "1960-10-01     0.144082\n",
            "1960-11-01     0.149491\n",
            "1960-12-01     0.152260\n",
            "\n",
            "[133 rows x 1 columns]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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+H2fnh6PjV6/P1vqeavqAkJAQdO7cGb/88gumTp2KlStXomXLlihevLimdnLk4WEjjsdp3749wsLCMHHiRNlY9+3bt52+fteuXbKv+/PPPwGIFq+7n+OI7t27Izs7GxMmTMjzXFZWVu6U4Lt37+a5SqX5F66s8XLlyqFEiRL45ptvkJmZiSeeeAIAETXnz5/Hr7/+iqZNm7p0qWjdFS3TlLUQExMDf39/zJgxw+a7f//997h37x46derklXYA5Pffu3cvjh49mvtYYmKiw6tlvenevTv27t2LTZs25XkuKSkJWVlZAIjDYbFYkJ2dnfv8pUuXsHr1al3bQ50U6e+yf//+3HCGWooVK4a6deti8eLFNmGnLVu24L///nP5eiXnR3BwMIC8x6/azz5//rysu6T1PZX2AZQePXrgxo0bWLBgAY4dO5YnZHTq1ClcuXLFafs4zuHOC8fjhIWF4dtvv8Vrr72G+vXr4+WXX0aRIkVw5coVrF+/Hk888QRmzZrl8PWTJ0/GoUOH8Pzzz6N27doAgMOHD2PJkiWIiIjAsGHDdPkcR7Ru3RpvvfUWJk2ahKNHj6Jdu3bw8/PD2bNn8csvv2D69Ol48cUXsXjxYsyZMwfdunVDhQoV8ODBA8yfPx9hYWHo2LGjy89p2bIlfvrpJ9SqVSs336B+/foICQnBmTNn8Morr7h8D+rMvPPOO2jfvj18fHzw8ssvq/7OSilSpAhGjx6N8ePHo0OHDujSpQtOnz6NOXPmoFGjRl4tgjhq1CgsW7YMbdu2xdChQxESEoIFCxagdOnSSExM9Lgr9d577+GPP/5A586d0adPHzRo0ADJyck4fvw4fv31V1y6dAmRkZHo1KkTpk6dig4dOuCVV17BrVu3MHv2bFSsWBH//vuvbu3p3Lkzfv/9d3Tr1g2dOnXCxYsXMXfuXFSvXh0PHz7U9J6TJk1Cp06d0KJFC/Tr1w+JiYmYOXMmatSo4fI9lZwfQUFBqF69OlauXInKlSsjIiICNWvWRM2aNVV99tNPPw0ALmv7KH1PpX0AhdaOGjlyJHx8fPDCCy/YfG61atXQunVrvgyCOxg0y4ljMFqmStvXKNixY4cAQPjll19sHqfTXe2nRO7YsUNo3769EB4eLgQGBgoVKlQQ+vTpI/zzzz9O2/r3338Lb7/9tlCzZk0hPDxc8PPzE0qXLi306dNHOH/+fJ7tlXxO7969hZCQEEXfnzJv3jyhQYMGQlBQkBAaGirUqlVLGDVqlHDjxg1BEATh8OHDQs+ePYXSpUsLAQEBQlRUlNC5c2eX348ye/ZsAYAwaNAgm8djYmIEAHnq3MhNlc7KyhKGDh0qFClSRLBYLLm/saPfUBDyTleWw9FvSpk1a5ZQtWpVwc/PT4iOjhYGDRok3L1712Ybd6ZKd+rUKc9ntm7dWmjdurXNY0eOHBFatmwpBAQECCVLlhQmTZokzJgxQwAgxMXFOf2Ojo6J1q1bCzVq1MjzuFy7Hjx4IIwePVqoWLGi4O/vL0RGRgrNmzcXpkyZYlMv5fvvvxcqVaokBAQECFWrVhUWLlyYWy9HCgDh7bfflv3s3r17O/0+OTk5wsSJE4UyZcoIAQEBQr169YR169YpPr/p59sfG7/99ptQrVo1ISAgQKhevbrw+++/OzxnpCg9P/bs2SM0aNBA8Pf3z/P5Sj+7TJkyiqdPq/k+rvoAKb169cqtf2QPgDzHLkcdFkHQOeONw+FwGGLYsGH47rvv8PDhQ770AIeTT+A5LxwOJ9+Qmppq8/+dO3ewdOlStGjRggsXDicfwXNeOBxOvqFZs2Zo06YNqlWrhvj4eHz//fe4f/8+PvnkE6ObxuFwdISLFw6Hk2/o2LEjfv31V8ybNw8WiwX169fH999/j1atWhndNA6HoyM854XD4XA4HI6p4DkvHA6Hw+FwTAUXLxwOh8PhcExFvst5ycnJwY0bNxAaGur1UukcDofD4XC0IQgCHjx4gOLFi7tcdy7fiZcbN27kWeWYw+FwOByOObh69SpKlizpdJt8J15CQ0MBkC8fFhZmcGs4HA6Hw+Eo4f79+yhVqlTuOO6MfCdeaKgoLCyMixcOh8PhcEyGkpQPnrDL4XA4HA7HVHDxwuFwOBwOx1Rw8cLhcDgcDsdUcPHC4XA4HA7HVHDxwuFwOBwOx1Rw8cLhcDgcDsdUcPHC4XA4HA7HVHDxwuFwOBwOx1Rw8cLhcDgcDsdUcPHC4XA4HA7HVHDxwuFwOBwOx1Rw8cLhcDgcDsdUcPHC4XDMyf37wJdfAhcvGt0SDofjZbh44XA45mTFCuD994FPPzW6JRwOx8tw8cLhcMxJQgK5vXzZ2HZwOHLcvAlcu2Z0K/ItvkY3gMPhcDSRnExu4+ONbQeHY8/du0CdOkBODhEwgYFGtyjfwZ0XDodjTrh44bDKtGnA7dvAnTtAYqLRrcmXcPHC4XDMCRUvd+4AmZnGtoXDoSQlAdOni/+npxvWlPwMFy8cDsecUPECALduGdcODkfKzJnAvXvi/1y8eAQuXjgcjjmRihceOuKwwP37wDff2D7GxYtH4OKFw+GYk5QU8X5cnHHt4HAos2aRZN2qVYFSpchjXLx4BC5eOByOOeHOC4clHjwAvv6a3P/4YyAoiNxPSzOuTfkYLl44HI454eKFwxIrVpCZRZUrAy+/DAQEkMdZcl7S04GlS0kNGpPDxQuHwzEnUvHCw0Yco7l6ldy2awf4+Ii1XVgSL7/+Crz+OjBypNEtcRsuXjgcjjnhzguHJWgOVkgIuWXReaEi/59/jG2HDnDxwuFwzAkXLxyWoOIlOJjcUvHCUs4LbeO5c0BqqrFtcRMuXjgcjvkQBNvZRly8cIzGkXhhyXmhbczJAU6dMrYtbsLFC4fDMR9paUTAUHjOC8do7MULizkvUsF/4oRx7dABLl44HI75kIaMADLLgy8RwDESMzkvABcvSpg9ezbKli2LwMBANGnSBAcOHHC47e+//46GDRuiYMGCCAkJQd26dbF06VJvNJPD4ZgFKl78/cnMDoAvEcAxFi5evIrHxcvKlSsxfPhwjB07FocPH0adOnXQvn173HLQ0UREROCjjz7C3r178e+//6Jv377o27cvNm3a5Ommcjgcs0DFS2goEBVF7vPQEcdIzJSwC3Dx4oqpU6eif//+6Nu3L6pXr465c+ciODgYP/zwg+z2bdq0Qbdu3VCtWjVUqFAB7777LmrXro3du3d7uqkcDscsSKelRkeT+zxpl2MkZnNerlwhazGZFI+Kl4yMDBw6dAgxMTHiB1qtiImJwd69e12+XhAEbNu2DadPn0arVq1kt0lPT8f9+/dt/jgcTj6HOi/BwVy8PI5kZbE31ddsCbsAcPKkMe3QAY+Kl4SEBGRnZyOadi6PiI6ORpwTi/fevXsoUKAA/P390alTJ8ycORNt27aV3XbSpEkIDw/P/StFF8PicDj5FypeQkKAokXJfS5eHg8EAWjSBKhQgc2QjBmcF19fcmvi0BGTs41CQ0Nx9OhRHDx4EJ9//jmGDx+OnTt3ym47evRo3Lt3L/fvKi3RzOFw8i9S8UIvjnjOy+PBqVPA4cNkfZ4bN4xujYiZcl7q1CG3JhYvvp5888jISPj4+CDe7oooPj4eRenVkgxWqxUVK1YEANStWxexsbGYNGkS2rRpk2fbgIAABNCDhMPhPB7IiRfuvGgjKQkYMwZ49VWgcWOjW+OabdvE+xkZxrXDHhrGMoPz0rgxcOiQqcWLR50Xf39/NGjQANskB1tOTg62bduGZs2aKX6fnJwcpLN0AHA4HGPhYSP9+PlnYOZM4JlngGvXjG6Na7ZvF++zMi5kZpI8HMAcOS9UpHLx4pjhw4dj/vz5WLx4MWJjYzFo0CAkJyejb9++AIDXX38do0ePzt1+0qRJ2LJlCy5cuIDY2Fh8/fXXWLp0KV599VVPN5XD4ZgFqUXPctgoNRX44gu2EyNv3ya3iYlAz57iIMwi2dnAjh3i/6w4L9JEWDM4Lw0bkttbt8Tf32R4NGwEAD169MDt27cxZswYxMXFoW7duti4cWNuEu+VK1dgtYoaKjk5GYMHD8a1a9cQFBSEqlWrYtmyZejRo4enm8rhcMyCWcJGf/wBjB5NBlxWa1UlJYn3d+8Gxo4FPv/csOY45cgR2/ayIgyoKLBaAT8/cp+1nBfpemBFigDlywMXLhBhLZOSwToeFy8AMGTIEAwZMkT2OftE3M8++wyfffaZF1rF4XBMi1zYKDGRXIn7+xvXLnuoG3TkiLHtcAYVA40aAQcPApMmAa1bA+3aGdosWaT5LgB7zktwMGCxkPusOS9SERUcDNSsScTLiROmFC9MzjbicDgcp0jFS0QEu0sEUGFw+zZ7baPQNr7+OjBwILlCf+019uqoAHnFCyvCwH6mEcBezos0tBUURMQLYNq8Fy5eOBxOXk6eBMqVA+bPN7ol8kjFi9UqLhHAWujo3j3x/vHjxrXDGVS8FCwITJ0KhIURoXXunJGtykt6OglrAaStAJvOC4U154W20d+f1Hnh4oXD4eQ7duwALl0CliwxuiXy2A8WrM44kuZnsDpISMVLUJAoDFhzXvbtI22KigJq1yaPcfGiHPs2SsWLIBjTJjfg4oXD4eTl4UNye+qUse1whNR5AdhN2jWbeAHEwY018UJDRk89xb4wANhL2LWvQ1OlCnFg7t1jq9ifQrh44XA4eaHiICEBuHPH2LbI4Ui8sDZdWipezBA2Aoj7ArArXp5+WhQG3HlRjn0b/f2BQoXI/bt3jWmTG3DxwuFw8kLFAQCcPm1cOxxhL15YDRtJc15OngRycoxrixyC4Fi82C/iZyQPHgAHDpD7Tz8tzihjVRgA7CbsyrWRFXdIBVy8cDicvNCwEWAO8WKGsNHDh8Dly4Y1RZaUFLEoHcvOy65dpJ3lypE/7ryoh4sXDoeT75E6LyzmvdD20Y6Y9bARFQSs5b3Q9vn4iEKQxZwXWqGYLitjBueFtZwXM7RRBVy8cDicvLAeNqIdMcthI0EQw0ZNm5Jb1vJeqHgpVEgsrsai80KdQJqjYSbnJTOTjXAhd144HE6+Rxo2Ytl5YTlslJxM1uIBgJYtyS2rzgsNGQFs5rzQ47FAAXJrBueFCgOADZFlhrwcFXDxwuFw8iJ1Xs6fJ1ePrJCdLV4p2osXukQAC1Bh4OdHSu8D7DovcuKFReeFihczOS8AG+KAOy8cDiffIxUvWVlkDRRWkDoCVLxERJCaFQA7q+RKhUGtWuT+qVPsDLiAvHhhMefFjM6LdI0tFtpJ20jFKcDFC4fDyWfQwYKu+M5S6IgKK4tF7HytVlLWHgDu3zemXfZIhUHp0kBoKBGCZ88a2SpbuPOiD3LixWIRBQwL4oA7LxwOJ99DBUL16uSWpaRd6UwjmmQKiAObNF/HSGiybng4aSctx85S6IjnvOiDnDAA2JouzWcbcTgmg6V8DbNABUKDBuSWJefFfqYRhTXxYi8MaOiIpaRds4WN6G9uBucFYCshlifscjgmondvMo321i2jW2IecnLyihcWnRd78UL/l+brGIm9MDCb88KieOHOi3Z42IjjEbKygG+/JSv5cvRBEIDffyczUFi62mUd6aDFovPiSLxw50U9ZhcvrDgv9oseUlgKy3DxwvEI69cDgwcDnTqxUdAoP3DtmtjpsdQRs440IbZOHXI/MZEs0sgCZhEv0pwXQHReLlxgp41mzXlhydEAuPNiAFy8sMLNm+T2v/+IW8Bxn//+E++z1BGzjjQhNiQEKFOG/M+K+2K/NACFNfFiLwwiI4EiRcj9c+eMaFFezJbzwqrzYvacFy5eOJqRxuk/+4yEPDjuIRUvLHXErGOfHFmlCrllJe/FrAm7gFjenuU2shY2ysgQRYqZpkoD7DsvLIW1VMLFCytIO7Njx4C1a41rS34hNla8z0pHbAbswzJVq5Jb1pwXM4oXOnCw4gSaIWwkvbCjvzlP2FUPn23E8Qi0w6UHE3df3Ic7L9qggwUVA2YTL6zMNrLPeQHYEi+CYA7nhfaN/v6iaGHJeREE1+KFBWeDh404HoF2uP36kc7j4EFg82Zj22RmBIGLF62wHjZyNVXaDM4LCwIrJYXMcgTYznmxz3cB2HJe0tPFC02e8+I1uHhhBXqClisHDBxI7k+YwN0Xrdy6Bdy9K/7PSkdsBhyFjS5cYONK16wJuwBbzgttn6+v7b5k1XmRiheWnBfpbyldNwgwT9iIixeOZqRW/XvvkYP+779t8zY4ypG6LgAbg4VZsA8bFStGhEx2Nht1iHjOiz5I2yddZoEOwOnp5Dc3GtadF/pb+vuLi4NSWBEv2dliG7h44eiK1KovVgyoWJH8f+OGcW0yM/bihZWrSDNgHzayWMRZMiwsemiG2UZpaaIrwGrOi5y4AmwHNxYGNbM4L/ZOIMBOzou0/+OzjTi6Yn+C0sGCdjAcdVDx4udHbrl4UY6cs8FS6X0zOC/0vLVabQddM4gXaeiDhfPGLM6LM/FidDulxxt1W6T3jW6fBrh4YQX7DpmKF2neBkc5NNxGq5qy0AmbBfuwEWAu8cJCG6kwCA8nAoZC28yyeLFaRXHAwnljFufFPt8FYEccSNsoPR552IjjNo6cFy5etEGdF7o2DwudsFmwDxtJ77Mw6DpK2GVptpGrkAwL+9FRGwG2ar24cl6MntRgJufF0WwoLl44mrG/2qUdCkviJTubLF3AUpvkuHMHiI8n9+vXJ7dcvCiHh43cR67GC2Ae8cLSdGlnzosgGJ9UzMWLIXDxwgr2V7ssOi9r1gAvvAD07Gl0S5xDQ0alS4trybAwWJgFs4eNHj40/mo8vzgvrIoX6rwA7AoDgJ2EWC5eOB5BEPIOGCyKl4sXye2mTXln87AEFS/Vq7PVCZsFZ2EjFsSLq9lGgmD87+1KvLCwH/ND2AgwPu/FmXhhLefF2fIFRgt+lXDxwgKpqeKBY++8sDTbSDpNduZM49rhCiqsqlXj4kULZg0bSTtmo0NH3HnRDznx4usr1qZhVRgA5gkbAcaLQJVw8cIC0o6WHlwsOi9S8bJkCVttk0LFC3detGHWsJHVyk7SLs950Q858WKxiO6L0YOuGcQL/R2diReThY64eGEBaWdMp7GxKF5ohwyQE/aHH4xrizOk4oWlTtgssBw2ysgQ1+ORGyxYaSd3XvRDTrwA7EyXNnPOizT8ZnQbVcLFCwvIDRYszjaizku9euR21izjM/3tuX8fuHaN3OdhI22wHDaSfr698wKwM+PIkTBgaco5bSO9UJLCes4LwE6hOjM4L47aaLGYNmmXixcWkDs5pTkvrCRSUfEycCAQEUHWuVm3ztAm5eHUKXJbtCjZhyx1wmZBLmzESqIp/R19fW2vGimsiBfqUnLnxX3M7LywnrALcPHCcQO5K10qXrKzgQcPvN8mOah4KVoU6N+f3J8xw7j2yHH6NLmlKyHTTjgzkz2XiFVYDhs5ynehsCJepBV2pbAiXgTB3DkvAHde1GCG0JZKuHhhAbmTMyhIPDlZmXFExUt4ODB4MMnP2b4duHrV2HZJuXCB3FaoQG5ZW6eFdbKyxCtZLl60oyTnxUhHNSVFzB3izot7OEqGBdgRBmZYwkAlXLywgJxNL13Jl5W8F2qFh4WRAnClSpH/WVr5mtaiKV+e3JpBvFy/Dhw6ZHQrCFJxwuJsI0dLA1DMIl6ys4kbaBS0fX5+8gMaS+FW7ry4Dw8bcTyCnE0PsCdeqPMSFkZuacfMijMEiM5LuXLk1moVOxAWxYsgAO3aAQ0bApcvG90a8Vi0zylhTbw4cl5YaaernBfA2DbSPqVgQbFeihRWwkY5OeLAy6rzwnNeDIGLFxZwdGXB0oyj7GyxnSyLF3vnBWDLArfnzBlxajedJWUkjsQBK6LADGGjzEyxnfY5L35+RBgCxroazvJdAHbOGek+4s6Ldrh44XgERx0yS86LdDBgVbykpZEQDCA6LwBbFrg9mzaJ91lon1wIE2BHvDhaGoDCgniR1kOi54oUFpJ2lYoXo49J+jtarbYF1QBzOC9cvHgMLl5YwJHzwpJ4oSGjgADxhKRXlayIl8uXSRgmJERckBFg5ypSjo0bxfsstM9RCJMV8WIG54WeD6GhossixUzixehjUto32oe3zOS8pKUZn6ANsJ1UrBIuXljAlXhhQRxIk3UptOOTXmkaiTRkJO3oWOmI7UlNBXbuFP83+ioXcB02kla4NQIzJOw6ynehsFCozpV4YSXnxVHfCJhreQBBMPa8MUNejkq4eGEBM4SN7JN1AfbCRvbJuhRWOmJ7du2ybRNL4sVR2Ei6jRGYyXmxz3ehcOdFOc7Ei5lCMoCx7eRhI45HMFPYiGXxIpesC7DTEdsjzXcB2BAvjsJGAQHiultGttMMs42UuhpmEC9GH5P5xXkBuHjRGS5eWMBRh8zSbCMziBfqvDgSL0Z3xPbQfBd6hc6CuHJ0LFosbAgDMyTs5ifxYvQxybrzkpMjDvpywsDHh/wBxooDLl44HsFMzovUCmdVvNiHjVjpiKVcuUKmSFutQIcO5DEWxJWjsBHAhngxQ9jIVc4LC+tE8ZwXfZDuH0d5WCyILC5eOB7BDEXqWHdeBMG182J0RyyFhoyaNAFKlCD3WRAvjo5F6WMsiBeWE3Z5zot+ODseWRIFQN6p3PaPs9DOfDTbSGYeH8frOLraZUm8yM02op0zC7ON7t4VBVbZsrbPsdIRS6Ehow4dxDLxLLTPmbPBknhh2XkxQ9iILvYaGir/PCuhVtadF+maQVYHXoDRIiszU5zpxGcbqWP27NkoW7YsAgMD0aRJExw4cMDhtvPnz0fLli1RqFAhFCpUCDExMU63zxcomSptZI0AgH3nhSbrFi2a9wRlxQKnZGYCW7eS+x06sDGYUXjYyH3MIF7ouSC3rhHAzjmjJOeFBfHiyAkEjBcv0uOMh42Us3LlSgwfPhxjx47F4cOHUadOHbRv3x63bt2S3X7nzp3o2bMnduzYgb1796JUqVJo164drtPKqfkRV1OlMzKM70SciZeUFOMz/h2FjAD2nJf9+8n+jIgAGjRg5yoXME/YyNVso7Q0sqSFEZihzosr8UIfN3oBSSXOC6vhGIrRYRnaRqvVdr0yChcv8kydOhX9+/dH3759Ub16dcydOxfBwcH44YcfZLdfvnw5Bg8ejLp166Jq1apYsGABcnJysG3bNk831RgEwfEJWqCAmKludOhILmFXKmSMDh05StYF2BIHgLiWUdOm5Pdl4Uqc4kwcsJBo6mqwkJ5DRrWTniuOQjIs/N5KxQtgbDvzg/NidFhG2ka5RTi5eMlLRkYGDh06hJiYGPEDrVbExMRg7969it4jJSUFmZmZiIiIkH0+PT0d9+/ft/kzFampYkhIbnoqK9Ol5ZwXX1+xgzY6dOSoxgvAnvNy5w65jY4mt6xY9AD7YSNXU6UDAkTBb1ToyFUbzSBeAgLEgc7I4zI/OS8siBc5uHjJS0JCArKzsxFNO+lHREdHIy4uTtF7vP/++yhevLiNAJIyadIkhIeH5/6VKlXK7XZ7FelAIHdweSJpNycHaNcO6NVL+WvkEnYBdvJezBQ2Skggt4ULk1uWnCGzhI0cdcQWi/F5L9IkTjnMIF4sFjbOm/zgvHDx4hGYnir9xRdf4KeffsKqVasQ6GAa2ujRo3Hv3r3cv6tXr3q5lW5CT87gYPGKUYonxMvNm8CWLcCKFcrj2XLOC8COeKHOi1zYiCVnAxDFS2QkuWVhMKOwPtvIlasBGC9e6HHmaLAw+vcWBNfiRfocq+KFJefF2X5kJeeF5To0GvDoVOnIyEj4+PggPj7e5vH4+HgULVrU6WunTJmCL774Alu3bkXt2rUdbhcQEIAAaQlms+EqAdETizNKT6IHD0jiqCsciRcWpktnZwOXLpH7ZnBeaNiIZfHCYthIEJRd6RotXly10ejcIalToUS88JwXx3DnxTA86rz4+/ujQYMGNsm2NPm2WbNmDl/35ZdfYsKECdi4cSMaNmzoySYaj7OTE/CM8yIdxJXmCLHsvFy7RuoY+PsDxYvnfZ418WIfNmLJGWI5bJSRIc4gYtl5USpejBIF0uPMUWE1gI3zxizOi1kSduUwqXjxeJG64cOHo3fv3mjYsCEaN26MadOmITk5GX379gUAvP766yhRogQmTZoEAJg8eTLGjBmDFStWoGzZsrm5MQUKFEABRwO8mXE2WACeSdiVHqRKxEtOjljUyr5qKAvihYaMypSRD72xcAUpxd55Yal9LIeNXNWroLDSTlZzXqgYsVoBPz/H27EgqlkvUucqRAhw58VDeFy89OjRA7dv38aYMWMQFxeHunXrYuPGjblJvFeuXIFVUpnw22+/RUZGBl588UWb9xk7dizGjRvn6eZ6H2c2PcCG8yK9gmXReXGWrAuwcQUpxZHzYrR4EQS2w0Z0//j6Oh90jXResrLEPDJHg4XRdV6k+S5yU2cpLJw3rC/MyMNGhuGV5QGGDBmCIUOGyD63c+dOm/8v0dyFxwUzhI1oPou/v+0S74A5xAsLV5CUrCxxX8nlvAiC8wHFk6SlEZcNYNN5cZUfRjFSvChZqM9osaokWVf6vJGJxaw7L2YqUpfPxAvTs40eC5Qm7BoZNnKU7wKwIV6czTQC2LiCpCQmivfpb0s7FUEwtiN2NW3faPGiZKAAjBUvtI0WS16hTzGLeDFa9KenizlOZnZejM55cRXaYmE/aoCLF6NR6rzoKQ7UOi9KxIuRs42oIChSRP55lsQLzXcpVIiEPwB2qplSURIUJJ87ZLR4cVXjhcKCeHEWkjGLeDH6vJH+fnIXd2ZzXnjYSFe4eDEaVwm7nnZeaCKuM+SWBqDQx4x0XlxdWRjdCUuxz3cBSP4GFTIsTEt1tW6Q0c6LGcJGzgYz+lxGhrjarzeh579ZxIsjMW20KADyl3jJzDRuPTANcPFiNGZI2GU9bKR0nRbp0vBGYT/TiGL01TigfNFDo9qoNGxkpMhS0kbpc0YIA/qZzqZJA8bnvLhypc3mvBid8+Kof5QeByYKHXHxYjSuTlBPTJXWmrBrdvEi3dYo5JwXwPj8AkC5eOFhI8coHcxoSMmIfWmWnBdXfSMvUqcMpc4LYKrQERcvRqM0YTc1Vb+DP78l7LrqjKUnp9HixZHzYvRVLuB6sJA6L3QxUW9ihrCRknLxFouxTpvZcl5cOS+sh42MTth11UZfXzEsx8ULRzGuTtDwcPEqTS/3xRNho4cPjQvJuOqMrVaxAzFavNiva0QxU9hIujaONzHTbCOloS0ziBdWw0bU0cjMNEZMA/nDeQGMb6MGuHgxGldJklar/kmxWp0XZwm7gHEzjsyyyBzgOmzEsniRdn5GhDvMEDZSkrArfd4M4oV15wUwLnSk5Jg0WhiocYe488JRjKuEXUD/pF09nRc/P/GkMEq8KLHqje6IKa7CRqxWMwWIkKbtNDIZ1gxho/wgXsyS8wIYJ17obM3QUMfbGJ2w6+oCGeDihaMBVycoYLx4cZawCxib9yII4gnnbMAw2gKnmNl5AYxdEVltSIbVnBfA2N/bbFOllTgvRrkaSsSL0TkvdD8qaSMXLxzFKFHFes840jNhFzBWvEi/i7PO2OirSIqZp0pLnzND2IhlgcWC82L2qdJWq1gfyQjnJTNT7H+UOC9GCyxnF8hcvHBUY/awEWCseJF+FzOEjVieKq3EBWShhoqasJG3Ezl5zot+KDkejZxxJC3wybJ44c4LxyMocV70Fi/2FXZddfDOEnYBNsSLr694FSaH0R0xQKpX0t+QxanSrDsvamcbZWV5/4pcrfPC67w4Ro14McJ5oeIlMND5KudG5rzk5Cjbj0YLLA1w8WIkgqDOedFLHEg7I2kbHGEG54X1q0iACBcqFCMibJ/jYSPXKF1VWvq8t/NezJDzYpZzhvVBV0G+S0JCApZv345XAVS/ehUvv/wyfvjhB1y7ds07bZQeX/nMeXFyqcrxOGlpRBkDxoWNACJOnH2+UvFixGwjs3TEgJjvEh6e90qNBfFilrCRK1fD15d0xmlp5DvZh+g8Ca/zoh9mcV5kRMHt27fxxhtvYN26dRDoBUtWFmJXrsTKlSsBAN26dcNPP/0Ef2nisafaKJ0pKIcJxQt3XoxEelXorLPT29mwP0Cd5b3k5IgngCPxYuTijGbpiAHH+S6A8RY9YB7nxZUwAIybcZSfcl48fExmZ2dj9erV6NevH9q1a4eaNWsiOjoa/fr1w4MHD0zrvBw6dAgNGzbE2rVrIQgCaletivcBrA4MxJgxY9C0aVNYrVasWrUKAwcOFMWNJ9tYoIDjVc4BU4oX7rwYCe2MHa2aSqGdjF4Hlpzz4ghp0iOLYSO1Nj0Lzot9vgvAhrhSkn8VEgIBwPUbNxCVkeHZq0Z7lCbsAqSzvnPH+yLLTLONDHIrHz58iEWLFmHatGk4f/58nucXLlyIv//+G78EBKA2oKvzcu3aNRQoUAAFaZ/lDjLiZdGiRRg4cCDS09NRqVIl/Pbbb6hVqBBQqhSQlYXnxo/H+PHj8eeff+LZZ5/FwoULUalSJYwePdr99sihRAACphQv3HkxEiWDBaD/gaXGeaHP+fnZFoWSwkLOi6vBgoWwkaOlAQC2wkYyNrggCNi/fz9GHTuGSgBKffEFwsPD0bp1a3z44Yc4ceKE59unVBgAxhWqM0POCz3/lU6VTk11a9ZWdnY2Fi5ciD59+qBu3bqIiIjA0KFDcf78eRQqVAgjRozA4sWLsWXLFqxbtw4lS5bEmTNn0OTECSwAIDjblwqclzNnzuDzzz9HnTp1UKpUKRQqVAiVKlVCz549MWfOHKRq7RPsxMukSZPQt29fpKen49lnn8XBgwdRq1YtsY1ZWblpAh07dsTMmTMBAB9++GFuKEl3lNShAYyvRaMB7rwYiZJkXUB/8UJP1rAwIk6UiBfpGkv2sCBezJDzoiRsZKR4cdDRbd++HcOGDcPx48dtHk9LS8Nff/2Fv/76C9OmTcOxY8dQqVIlz7VPTdjIaPGSn5wXgPQ9rraXITMzE71798aPP/5o83ilSpUwbNgw9O7dGyF2F29HjhzBa6+9ho0bN6I/gFmDB+OTL75At27dkJKSgg0bNmD16tWwWCwYmpGBJkAe50UQBGzfvh2ff/45duzYkfu41WpFTk4Ozp07h3PnzuGnn37ClClTMH36dDz77LPqvhztG0ND8d133+HDDz8EAHzyyScYN24crNZH3oBUJKan5+7HwYMH49y5c/jmm2/Qu3dvREVF4cknn1TXBlcomSYNGF8FWANcvBiJUktP7wOLdl7R0crFi6OQEcDFi1KchY1YCGvZiZdLly5h5MiR+O233wAAISEh6FyuHF44cQId+vTBtVGj8Pfff2Pu3Lk4dOgQ+vfvj+3bt4udtt6oDRsBPOdFDi3iJTVVtXhJS0vDyy+/jDVr1sDPzw8jR45EkyZNUK9ePZQqVQoWBxdDkZGRWL9+PaZEROCze/dw7Nw5vPjiiyhXrhxu3ryJNEk/uBxAWwDv//MPCpcujVu3buHatWuYN28e9u/fDwDw8fFB27Zt0b17dzz33HMQBAGHDh3CwYMHMXfuXFy8eBFdunRBp06d8MILL8DPzw/+/v6oVasWqlWr5vgLPjpffklIwKBBgwAAH3/8MT799FPb7aSOtUS8AMBXX32FCxcuYM2aNejYsSNWr16N9u3bK9/JrlBSoA4wZdgIQj7j3r17AgDh3r17RjfFNatXCwIgCE2aON9u+3ayXfXq+nyunx95vyeeILfTpzveduNGsk3duo632b+fbFO6tD7tU8P8+eSzn33W+XZffEG2693bK82SpV8/0obPPsv73Nq15LlGjbzfLkEQhJwcQfDxIW24fl3Yt2+fEBQUJAAQrFarMGTIEOHOnTuCMGUK2aZXr9yXXrhwQQgODhYACHPnzvVc+0jwQhDi4lxv/9xzZNvvvvNMexxRqRL53N27nW+3dCnZrl0777RLSvHi5LMPH3a9ra8v2fbaNVUfkZycLLRt21YAIAQEBAjr169X387ISOEOIHwycKAQFhYmABAACOXLlxfee+89oU+fPoKPxZL7uP1fYGCgMHToUOHy5csOP+LBgwfC+++/L/j5+cm+R+PGjYW5c+cKSUlJNq/LyckRLrz1ljAXEPysVgGAMHDgQCEnJyfvh7g4dlNTU4XOnTsLAAR/f39h7dq1inbP0aNHhfXr1wt79uwRYmNjhZs3bwq3b98W7ty5IyQlJQn3798XkmfNElIBIatzZ+dv9sEHpH3Dhin67IyMDCEhIUHRtmpQM35z8WIky5eTA+bpp51vt2cP2a58efc/MytLPJGef57cTpjgePuffybbtGrleJvTp8k24eHut08tM2aQz+7eXZ/t1HLihCD895+ybemAKjfAb9tGnqtRQ9fmKSYlRTwu7t8XYmJiBABC06ZNhX///Vfc7ttvyTbdutm8fNq0aQIAISwsTLh69ar+7UtOtmmfS155hWz79df6t8UZJUqQzz10yPl2v/0mXkB4m0KFyGfHxrreNjSUbHvmjKK3vnHjhjB+/HihePHiAgAhJCRE2L59u7Z2FihAPvvcOeHu3bvCTz/9JBw5csRGIFx88klhECCEBwUJ0dHRQq1atYSnn35a+PDDD4U4JSL3EbGxsULfvn2Fjh07Cm3bthWaN28u+Pr65ooYq9UqREVFCbVq1RJat24tREdH24ic7t27C1lZWY4/ICCAfJdLl2SfTk9PF55//nkBgODr6yt89NFHwtatW4UHDx7k2fbIkSNCp06dHIo2R3++vr5CaGioUKpUKeH777+3fdNx40j7Bg50up8yMzOFH374QShXrpzQs2dPl/tVLWrGbx42MhIjEnal7xEVRW7dDRvRqdL375OENE+FDeQwMmyUng40a0a+740brkMFXsx5SUlJQWBgoPIQjqTU+T+xsdi6dSt8fHzw448/omzZsuJ2DqZKDxkyBD/99BP27duHQYMG4Y8//nAYFtCEdL+oyXlhdbYRw3VeBEFAXFwcrl69iqsWC+IBFPztNxRv2hTFixdH8eLFUUAShoiLi8PGjRvxxx9/YO3atcjKygIAFCtWDL/99huaNWumrZ2SxOKCBQuiR48eeTYpW7Ag5gCYM3UqMHCgts8BULVqVfzwww82j8XHx2PZsmX44Ycf8N9//+HWrVu4detW7vN+Vivq5eSgQ0wMPlq6FD7OZowGBpL+wkFCrL+/P1auXInXX38dP/74Iz7//HN8/vnn8PHxQdWqVVG4cGEULFgQGRkZ2LhxIwASDqtZsybu3buHu3fv4p6LOltZWVl48OABHjx4gP79+6NEiRJiiMrFGJOdnY0VK1Zg/PjxuTPE0tLS8ODBA4S6yqfxEFy8GInShF09axlIB2814sXR0gDS5wSBbK/HNESlKJ3d4Qnxcv++OOgfPgy0aOF8eyVTpXVo37lz51CvXj1Uq1YN69atQxT9nZ0hiY1PmjwZAPDKK6/YChfAoXjx8fHB999/j3r16mHdunWYMmUK3nvvPTe/iQT6OwcEOC8rQOEJu/JIV2GXOWeOHj2Kvn374ujRo7ZP2E3lDQsLQ/HixeHr65tnplmLFi0wePBgvPDCC9qn0mdlkT/A+awo2jd6oEhddHQ0RowYgeHDhyM+Pj73LyEhAWXLlkX9L75A4Nq1wIsv2q5w7aydTvpwX19fLF26FO3atcOWLVuwe/duXLlyBSdPnsyz7csvv4zx48ejcuXKNo/n5OTk/mVnZyNn9GhkT5+OzEGDkPrhh0hNTcXEiROxaNEivPzyyzhw4ABJsncy2yg9PR09evTAmjVrAABFihTB+++/j0GDBiFYyYWEh+DixUiMmINPB0d/f1FkuOu8BAaKFU2TkrwrXox0XqS/x/79rsWLl5yXqVOn4uHDhzh48CBatmyJzZs3o0yZMs5f9OhYPBUYiFWrVgEA3n///bzbOSlSV716dXz66af44IMPMGrUKFy7dg1Tp051fkWqFDUzjQDxnJIunudpcnLEzp9V8SIdnCSiICsrC5MnT8b48eORmZkJq9WKYsWKoVRiIoqmpuJevXq4kZKCGzdu4MGDB7h//z7uS/qNBg0aoGPHjnjxxRdRu3Ztj7UzD15YmNFisaBo0aIoWrSo7RP0t1PiPCi8APXx8UGfPn3Qp08fAMDVq1cRGxub664kJyfjqaeeQp06dWRfb7Vabd1W+nlRUUDJkgCAuXPn4vTp09i7dy+ee+457Nu3D2EOJoWkpKSgW7du2Lx5MwIDAzF27FgMGTLExnkzCi5ejMTIsFFgoChInHXw1Ip0Jl4AIlji4rw/44gl8eKMnBwgMZHc92Cdl8TERCxevBgAEBERgTNnzqBFixbYvHmzopkTX2ZkQBAEdOnSBTVq1Mi7nYsKu6NGjYKPjw/ee+89zJgxA1euXMHy5cvdv0JTM9NIup03xYHSFc4BXcVLRkYG0tLSEBAQAH9/f1gsFgiCIF59P7rNzs7G3UuXEA+Qvx9/RHxCAuLj47F7924cOXIEANC1a1d89913xLFr0IC4ip99BnTsCAB48OABbty4gRs3buD+/fto2rQpoqOj3f4eNkjPLUf1paTPMbY8QB40zhgtVaoUSpUqpbJhEmQukAMCAvDbb7+hYcOGiI2NxXPPPYc3K1dGAwCVU1Nzi789ePAAnTt3xl9//YWQkBCsXbtW/6ncbsDFi5GoDRtlZxMr1dnqya6QDvZUkLjrvADGixcjrnSlV1H79jnfNilJXMfKmfOSlQVkZjpfpdYJCxYsQEpKCmrXro3169ejXbt2iI2NRZMmTTB16lS88cYb8rkoDx7gKoClj35vhxU/XayGbLFYMHLkSJQuXRqvv/46Vq9ejXbt2mHDhg3uxcbVFKgDjJkaLz22vCBeBEHAggULMHLkSBsXhIoXl9jliISHh2PmzJl49dVXxWNEZgp/aGgoqlSpgipVqmhuu0voIO9qtXgvOC8OkdR5cYlRyxg4EFjFihXDqlWr0KpVK+zcuRM7d+4EAIRs2YKw4sXh4+ODlJQUJCYmIiwsDBs2bEDz5s2923YXcPFiJGqdF4Ac/O6IFznnRS/xAnh/cUZWnJerV0nSbvHi8tvSfJfQUPn4uH1NDQ3iJTMzM7dq57Bhw1CyZEns2rULXbt2xe7du9G/f3/88ssvmD9/PkqXLm3z2nPnzuEdAFkA2rRpg6ZNm8p/iMK1jbp3747ixYvj2Wefxd9//42OHTtiw4YN2u1mtWEjI8Iy9LMCA10nrUtFgYYk9/j4ePTv3x9r167N85wz4eLv54fozExEW62IfuYZREdHIzo6GsWKFcPzzz+PEiVK2L7AqPpISqsAs7Awo6u+ETCugq2TInWNGzfGrl27sGzZMhzavBmHT51CcnY2km/ezN2mcOHC2LRpExo0aOCtFiuGixcjUeu8AOSkVmqdy6HVeXGWsCt9/nENGwEkdNStm/y2zpYGAMhvbLGQhMqUFGUdoh2///47rl27hqioKPTs2RMA6Xx27tyJadOm4eOPP8bmzZtRo0YNtGnTBo0aNUKNGjXw22+/YeVPPyEHZL2QMWPGOP4QFQsztmjRAlu2bEFMTAx2796NTp064c8//8xTUVURasNGTtaKEgQBSUlJKERXa9cLpS6g/TZpaYpFWXx8PH7++WdMmDABt2/fhr+/PyZOnIjBgwcjIyMD6enpEAQBVqsVPj4+NrdWqxWB587BUrs2cf/WrXP9gUatueUkqdgGBhdmlMVo58XBGNOoUSM0atQI2LgRWc88gwvVqiH1xx+RlZWF7OxsVKtWzbDZRK7g4sVIlDovvr5khkV2tuzBn5KSojynQK14oQunORp0KUZV2TV6qrQUZ+KFOi9yISOACJfgYCIKNA4U06ZNAwAMGjQIgZIrVh8fH4wYMQKdO3dG3759sXfvXqxbtw7r7AavjgA+jolBM2dxbXqsZmWRq10XsywaNmyIzZs3o23btvjrr7/QuXNnbNiwwaZ9ilARNrp16xaOnD6N0wCKXr2KKseOoWLFijh58iR++eUX/PLLL7h8+TLKli2Lp556Cm3atIG/vz+uX7+O69ev4/79+wgPD0ehQoVQqFCh3BkzgiAgKysL6enpSE9PR1paWu799PR05MTHAwAs6ekoOWkS3nnnHcdCTXq8pqQ4/V50muqSJUuwfft25DwKP9aqVQvLly8n6+cACFJSAVepKLBvJ3debBEE5aX3AePEi9I2BgbCF0BliwVwkAzMGly8GImaK7XAQDKw2V3tb9++HT179sQPP/yATp06uX4fNWGjs2eBc+dICOOJJ5y/7+MoXuydF2d5L66cF8At8bJv3z7s27cP/v7+uaXK7alSpQp2796N/fv348CBAzh48CD+/fdf1KhRA+8XLoy6s2cD9lOj7ZEOxsnJrqeIgtjTmzZtQrt27bBz5058//33ePvtt1V8O7gMGx0/fhzffPMNtmzZgmvXrolPnD0L1K0r+5pLly7hhx9+yFPfw22Sk4EPP8SePXuwevVq+dlWVis5JlNTyfYOjos9e/ZgyJAhucm0ANCkSRP06tULAwYMQICzZFY5lJ4vFKOWraCf50q8GCUKUlLEHDYPJuy6jdLlAfjaRhxVqOlIHIiXr7/+Grdu3ULnzp0xfPhwTJo0yXltBTnnJSODnPz2HeGGDeS2ZUvlOS/eFi9q67y4mRBrA/0tIiLITKJ//nGcUO1smrR9G1UOFA8fPsSIESMAkNoszmZ+WK1WNGvWLG/hsA8+ILeuOmJ/f/L9srLI8agw9NK0aVN89tlnePfdd/Hdd99h8ODB6orYOQgb7dixA19++WVu4S6AJKxWKlkS1a9eRXxgIM6EhODOnTtkbabOndG9e3e0bNkShw8fxvbt27Fr1y74+vqiRIkSKFGiBMLDw3Onpt69eze36BpAanEEBAQgICAAgYGBufcDAgLgc+kSsGwZMqOiMPX+faxbtw4jR47EN998I/+dgoPJby0jVm/cuIHRo0djyZIlAICCBQti+PDh6NWrF8qXL698v9mj1NGgcOdFHioKrFblF58AMwm7eTDh2kZcvBiJ0qsLwKEy/v333zFq1CjMmDEDU6dOxf/93//hp59+QsWKFeXfR9opSNX4/ftAkSK22/75J7lV4uiw7rxIOxiNCbF5oPuyTh0iXB48AE6elLddnRWos2+jCuflwYMH6NSpE/bs2YPQ0FD52izK3ojcKrmKDAkhidkqq9e+9tpreP/993H8+HHs37/fcVKwHDLOy8yZM/HOO+8AIKLshRdewMCBA9GoUSOEnjkDNGxI9vfVq7h79y6CgoJswlXt27fXdxG8NWuAZcuAChVQ93//Q/fu3TFt2jRUqlQJgwcPzrt9cDA5LiS/d1JSEiZPnozp06cj9dGx/cYbb2DixInKig26Qq3zYnTOC6vOi9TRUCLCjWinNLSVDxdm9GIdd04e1MSfHSj3gIAATJ8+HWvWrEFERAQOHTqE1q1bI4Fe6dsj7bx8fMQrWfvQUXIy8Gj6HK3v4BSjV/FVkthHOxm9riKlBckaNyb3HdV7UeK8qBQv9+/fxzPPPINdu3YhLCwMW7ZsQdWqVRW9Ng9KOzlAVdKulEKFCqF79+4AgO+++07Va+2dl6NHj2LkyJEAgH79+uHMmTP4+eef8dRTT5EEQ7t9WahQIfV5NmqRuIAvvfQSJk6cCAB455138Nlnn+HAgQM2Lo60jcnJyfjyyy9Rvnx5fPHFF0hNTUXz5s2xf/9+LFiwQB/hAmgXL9x5sUWN2AeMES/p6WKV4nzovHDxYiRqw0aAw4OrS5cuOHbsGKpUqYIbN26gX79+8lMm7T/TUd7L9u3k4C9XDlBSz8Ho2Lgr69ZiEfehXm2UdrBNmpD7jsSLGudFQftSU1PRoUMH/P333yhYsCC2bt2KJrQNWlDrvACa1g166623AAArV65EkhqXTpKwm5KSgp49eyIjIwNdunTBggULUKFCBdvtjXAM7JKKP/jgA/Tp0wfZ2dn45JNP0KRJExQqVAjPPPMMvvjiC+wVBNwFMHnRIpQtWxbvv/8+7t69ixo1amDNmjXYvXs3GlNRrBdmyXlh3XlRU+MFMCanRHoh6c1CqF6CixcjURM2UnBwlSxZEitXroS/vz/Wrl2LOXPm5N0oLQ1ZACbExqJr167o8fAhXgPwv4kTcenSJXE7GjLq2FGZLWpUuXM1nbHeV5H0twgIEMWLo6TduDhyax+ak2ufgn04cuRI7N27F4UKFcK2bdvIdEd38JJ4adasGWrWrInU1FQsW7ZM+QslYaPhw4fj1KlTKFasGL7//nv53Bl6PKaliYmVnsZOvFgsFsybNw9z5sxBly5dULBgQTx8+BAbN27E6NGj0fzMGUQA+OCHH5CQkIAKFSpg0aJFOHbsGLp06aLvwpYU7rzog5oaL4AxOS+0jUFBrmuD0fbl5IhuDeNw8WIkasJGCq8w6tSpg6+++goAMGLECPz77782z+ekpOANAGMOHcKaNWvw84MHWAZg2q+/on79+li/fj2JlUrFixIeR/FCfwup8xIbK1+oj86AcVbqW+E+/OOPP3KF6cqVK1G/fn01rZZH6awEwC3xYrFYMGDAAAAkdKSoEiyQu09+PH0a3333HSwWC5YuXYpIR06WfR0VbyDjAvr5+WHQoEFYs2YNEhIScOTIEUybNg1du3ZFxKO8q4rR0Vi8eDFOnTqF3r1767MWlKs2KhUveruVSlHrvPCwUV7UhILta4mZAC5ejEIQdHdeKEOHDkWnTp2Qnp6Ol19+GUePHoUgCBAEAUPXr8cSAD4WCz777DPMqFwZXwFoXKEC7t69i86dO+Ojt95C2pUrSA8IQFrTpsjOznbdPiNseuk+VNIZ622BSzvY6GgyzVgQgIMHbbfLzibVdwG3xQsNCQJEnLZt21Zj4+1QU7PCDfECkMTdwMBAnDhxAvtcLavwiKsJCegB4JVHbs3IkSPx9NNPO36BfcVib+Bi5puPjw/q1q2Ld999F6tWrcLtZ57BVQCnxo/H66+/Dl93KmcrRavz4u0BTa3zwuosHooRIlBLET3ANOKFzzYyiqws0c7WIedFisViwcKFC1GnTh3ExsaiXr16KF++PKpWrYo/jx2DBcCSrl3xykcfAYcOAWfO4J1hwzDi9GnMmjULE+fPx0SAdAiFCyM4OBh9+vTB//73P8ezmIyIjUv3hRrnRS+BZd/BNmkCXLpExEtMjLjdzZtEwPj6EpHjqn0O9mFOTg569+6NO3fuoG7duvj888/d/w4UL4WNADLtt0ePHli8eDHat2+PoKAgZGZmIiwsDGXKlEHp0qVRokQJBAYGws/PD0lJSZizdStSAFgtFrw9ZAg+++wz5x/i40MGtowM8ns7S5TWC5XrL1kLFEBJwLuDhZoLJoD9sJFZnBcj+kc1FyQ+PmQGZmYmFy8cF6hZgRZQbTsWKVIEmzZtwtixY7FhwwZcuHABFy5cAADMBfAKzZF4FLP1T0nBzJkz8cQTT2DQa68hSRL3TElJwZw5c/Dtt9/iueeew4gRI/DEE0/YxuSNCBup3YeezHkBgOrVyS2tSkyhIaPixUkn4QgX+3D+/PnYunUrgoKC8OOPP6ovUOYMLWEjN37roUOHYtmyZXjw4AEePPrsu3fv4vLlyw5f8wSAWV99hbqPatq4JDhYFC/eQO3ikS4WufQIaivsGpXIqbSdZnFejOgf1ZzTAPmtuXjhuEQ6gCoZhDR0IrVq1cLvv/+O5ORkbNiwAX/++Sda/fcf+uzf73C20cvPPIPnc3KQDMBy5Ags5crh8OHD+Prrr7F+/XqsXr0aq1evRuPGjTFixAg8//zzxO42ImxE9yG9anCFJ3NeAKBMGXJrPwBfvUpuXS1t76KDo5VgP/30U+1Toh3hxbARADRo0AAXL15EQkIC/Pz84Ovrmyterly5ghs3biAjIwOZmZnIyspCux078PLly7DUqKH8Q4KCSN0hb13tqqmYLd3OiHMmvyTsms15MUK8qAltPXjAxQvHBdKTU8msAjeugEJCQvDiiy/ixRdfFNfecTRVevdu+OfkwL9Spdyy6k8++SSefPJJxMbG4ptvvsGSJUtw4MAB9OjRA9HR0WjdujWeqF4dTwConpIChd2i+xjdEdt3sLS0vnTWFqCLeLly5QoOHDgAi8WCV199VVNzHZKeTq64AK+JFwAoVaoUStntkzyVfyl0ur5SYSDd1tvOi9ppyCyLF6MSdpWGt8zivOjgVqpGTcIuYFwVYI3whF2jUNuJ6JWtbj/g2ouXf/4htzLVT6tVq4Z58+bhypUrGDNmDCIjI3NXuX133Dg0BBCckYESJUqgVatWmDt3rnttdYXaK11Ph42o83Lliu30XCpeSpbU3L7ff/8dANCyZUsULVpUa4vloR0xoGzVZp3EiyrUrioNeN8N1Bo2Ylm8mCVh19vOi9o6L2ZwXky2vhF3XoxC7RojesWe7TsvemDTk/HQIXLboIHDt4iKisL48eMxevRo7N+/H7t378bff/2FfZs34y7IjJgbN25g165dKFeunL4l2J19FxkSEhJw+vRp1KlTBwV0TpoT0tKwBcDpvXshWCwQsrLga7GgWkYG6p0+jULVqpENlUyTBpx2cL/++isAEPdMb+gVmpJ6EICx4kWL8+Lt2Ub5SbyYZaq0Uc6L0jovRvzWWp0XLl44TtHaibh7YCl1Xho2VNCkQLRu3RqtW7cGRo+G4OODRADnN2zAnJ9+wuLFizFkyBAcP37cM6XZXezDkydPom3btrh58yasVitqFiyIJgAqb96MksWLo2TJkqhevToiIiJUfWxOTg5Wr16NCdu34ygArFxJ/qRUr46yZcvixRdfxJhLlxAKaBYv169fx99//w0AeP7551W1VRFa4/feFC8uVpWWxaiwEcsJu9x50Yf8mvMCcPHCcYHaKYt6XWE4Wx7gxg0yrddqzc13UYzVCktgIAqnpaFwtWqoOmMGtmzZgnPnzuHLL7/EmDFj8rzk7t27+OOPP7Bnzx7Ex8cjPj4ed+/eRc+ePTFmzBjXFUaddMT79+9Hx44dkZiYiMDAQKSlpeHfxET8CwCbNpE/AP7+/ujTpw/ee+89x9PAH5GSkoLly5dj+vTpOHnyJACgAIB2jRvDr1w5WCwWpG7Zgn/v3MFFAJcuXcKUKVPwk9WKWQCecxU2ctDBrVq1CgDQvHlzlChRwvl7aEHtrARvOy/Z2eJxz3LYyAzCIL9OlWY954U7L7rDxYtRGDVl0Zl4oSGjatXUDRKU4GDSvpQUhJUpg2+++QY9evTAxIkT0atXL1SoUAEpKSn4+eefsXLlSmzdutV2obpHjBs3DsnJyZg8ebJzAZOSgnsARt24gY1lyqBu3bpo27YtIiMj8eabbyI5ORlNmjTBn3/+ibS0NOwfMgT/rFqFy1Wr4lp0NC5duoTLly9j3rx5WLBgAZ5//nm0atUKZcuWRdmyZWG1WpGQkICEhATs27cP33//Pe7evftot4XhndBQDLt+HYVHjwa6diVteu01YNky3B0zBjvq1MHIkSNx8eJFdAXw3CefYMqsWY5FkoOBwqMhI0DdTCPA++JF2uHnp7CREcJAa7+TnU1qU3mjkB6g3nnJySFt9GR1YilmEC/ceeF4BBbDRgryXZxid6X70ksvYcGCBdiyZQveeustNGrUCPPmzUNiYmLuS2rVqoXOnTujTJkyiIqKwtmzZ/H+++/jq6++QmhoKD755JPcbbOzs21Kp2/avx9vArgWHw+AzMj5448/cp+PiYnBqlWrUODRlUe3OnXQbdUqoE0b4NtvIQgCdu/ejcmTJ2P9+vX49ddfc4WCI8qXL48hQ4agb9++KPjUU8D167Yd7KMZR4Vu3cLzzz+PDjVq4LOqVfEVgDWbNmF9tWp466238MknnyDavmCdTAcXHx+Pv/76C4CHQkaA9pkTRogXNeFH1sNGRuSTaHWH6GuVHiPuotZ5AYj7okbcuoMZxIvaixKTzTbi4sUo1Nq3nnZeHjwQxYuCfBdZ7K50LRYLZs2ahVq1amHbtm3Ytm0bAKBcuXJ444038OKLL6KKzIrV/v7++N///ocxY8bgxIkTSEpKQmxsLK5evYqIiAiUKlUK4eHhuYN6heBgTFq0COfPn8fmzZvx999/4/nnn8eiRYtsC7nJtK9ly5Zo2bIl/v33Xyxfvhznz5/HpUuXchepjIyMRGRkJEqUKIFXX30VHTt2FAWUXAdrV+slOCEBEwH0KlEC79WujQ0bNmD27NlYtGgRpk+fjjfeeCNv+yQd3KpVqyAIAho1aoQy9L31hvWwkVQUWFVMkPS2s2EG50XrLEf6WtbEC3VeAJL3wrp4oQuFqjmOtaL2vOazjTiKUGvfenqq9MOHwIED5L5W50Vm8K1cuTI+++wzjBo1Ck8++STeffdddO7c2enic8OGDcPDhw/xySef4Oeff7Z5LjExMde5sVgseEcQMLF9ewS/9BIA4IMPPoAgCPLhJieDRe3atVG7dm013zbvVGlAFC+01sujmUY1ypfHn3/+iR07duD999/HwYMH8eabb8JiseSuVSS3/zweMgLYd160JOtKt2c954Vl8WK1kuM7Pd27g5pS8SItTuktx0BahVateAHIb6AlLK8WHjbieASjwkaOnBcAuHVLW7IuxcFg8d5772Ho0KGqZhx99NFHiIqKwpkzZ1C1alVUr14d5cqVw507d3DlyhVcv34d9Y8fR4OZM/NMV3SYJ6N3Aqd9hV1ALFR3+TJZpNGuQN2TTz6J/fv3Y/jw4Zg2bRrefPNNBAQEoFevXjaDWUZGBkaNGpXrVr3wwgv6tFkOs+S8qO3wvSleBCF/Oi902/R0NnNzLBZxDStvzTiS1kVSKwwAcpx4Q7zwhF33mT17Nr766ivExcWhTp06mDlzJho3biy77cmTJzFmzBgcOnQIly9fxjfffINhw4Z5o5nexYg6L5mZJKkNEDuFgADx5AfI+jxarVcn4kDtVGmLxYIBAwbkebxYsWKoWbMm+Wf8eNvPdYXeg67cb0inQ6ekAHfuyFbXtVgsmDp1KtLS0jB37lz07t0b2dnZ6Fi7NiIAXEtORvdWrbB//34AwNixY1GhQgV92iyHmcJGavCmOJCel2rFixGzjdSIFyMGNTVh9YAA0n95y3mh50tgoLJlSQByURgURL6Xt5zAfO68eDzwtnLlSgwfPhxjx47F4cOHUadOHbRv3x63bt2S3T4lJQXly5fHF198oX8lUZYwosKu9KCUdgpS50JryAjw/uwOtftQmt+jB3LiJTAQKFaM3L90yWF1XYvFgtmzZ6NPnz7Izs5G7969UaRePQQAqJyRgf3796NgwYJYs2YNxo0bp097HaE1bJSWJophT2KGsJH0M1gNG+XkyLuFrjByVpSSdnq71ova84Xi7TBmPndePC5epk6div79+6Nv376oXr065s6di+Dg4NxF5uxp1KgRvvrqK7z88suKVs1NT0/H/fv3bf4M59o1saqqI4xI2JV2PtLPlZ6EWpN1AfbXkrGvJuwudCCwP06lSbtOqutarVYsWLAAQ4cOzS2UlwUgHUCDevVw+PBhdOnSRZ+2OkNr2AjwrjBgOWxEzy0/P+XTib0tCqQXPlqcF1bFi7cXZzSDeMnKEn+vfDrbyKPiJSMjA4cOHUJMTIz4gVYrYmJisHfvXl0+Y9KkSQgPD8/9s1/ozetkZpKckfr1xcXu5DCizos0wVSaF6KX88J6UTA9nZesLNF1sO9gpeLFxaKMPj4+mDFjBu7cuYP01FRcBXASwP4//0S5cuXcb6cS1HbGQUHi8eON0JEZwkZa2iitoeKsr9AL6X5Qm/MCeO+KXBC0OS/eDhuxLF6k52U+nW3kUfGSkJCA7OzsPPUsoqOjERcXp8tnjB49Gvfu3cv9u0oHC6O4e5fkOty+7dx9MSJs5Ogz6aDu4wPUqaP9/VkPG+npvDgKwQFi0u6ZM8CjGjQulwYA4B8YiJKBgagOwMebVz9qc14sFu+WtjdT2EhNG+1rqHga+hm+vuqKzXnbecnMJAJG+tnO4GGjvNA2+vrmdYYd4e2LTzcx/arSAQEBCAsLs/kzFOlV/aNaH7IYGTay/0y6z9xJ1gX0PTkFAejVC3juObEjs0ereElOdj9XQ/o7OAob7d1L2h4QAERGKntfMxSzArybtKs1bOTNzliLeJE6oN4UL2pcF+n23roid3ZhIIe3lwgwg3iRntOullmh0IsX+lrG8ehso8jISPj4+CCeXn0+Ij4+Pv8m40p/+CtXHG9nZNjIkfPiTr4LoO/J+eABsGIFuX/jBiC3po/WsBFAfqfwcO3tox2lr2/ekuRUvBw/Tm5LllTegRiRHKmlMzZCvGh1XlgVBhYLOa9TU9lto3R7bx2Tzi4M5ODOS17UuqmA+H30mtDgYTzqvPj7+6NBgwa5tSoAsiLvtm3b0KxZM09+tHFIxYsS54WFsFGjRuS2UyfExQFVq5KP8/MjM/zCw4FXXgFWrXLRfzm40hUEouMcGSiy3L4t3r9zR34b2hilgxr9UoD7J6izmDwNG9EvrCYPy8g1UNR0dFS8eDN+n9/CRoB3XQ21bi/F27NQHOXmOcLbzgsNO5tBvKhpIxcvtgwfPhzz58/H4sWLERsbi0GDBiE5ORl9+/YFALz++usYPXp07vYZGRk4evQojh49ioyMDFy/fh1Hjx7FuXPnPN1UfVDrvKgNG2VkkCmPWnD0mf/7H5CQALzwAmbMAE6fJh+TlUXG3/v3gR9/BJ5/HihSBHj5ZeC332TOQZkr3cuXgaeeImZEgwbETFGUmyidSp+QIL+NlitJ6VpO7uDs97Mv48+6eOFhI/cxQ1Kx2ZwXpX0jd17yonaaNMDFiz09evTAlClTMGbMGNStWxdHjx7Fxo0bc5N4r1y5gps3b+Zuf+PGDdSrVw/16tXDzZs3MWXKFNSrVw9vvvmmp5uqD55yXqQnstYrDGefWbgwUlKA774j/y5eTPKNb94kqRsjRgClS5OxauVK4MUXiZDp2RP4v/97ZDJITk5BAJYsAWrXBnbuJA8fOULSWCpUAKZOdaEf1DgvajpjvU5QR9OkATLIFi4s/m9X48UpZlh9FuBhI3u0ttGbybBaxYu3E3bVihejcl7U5ldy50VXvFJhd8iQIRgyZIjsczvpyPaIsmXLQlAVX2AMpc6L1oRdgJzcajsgBZ+5ZAmQmAiUL09EBk3lKFoUaNoU+Oor4OBB4JdfgF9/JTXYfvqJ/NWoAfSvVxdWDMGZw0/jSEvg77/J65s1A6ZPBzZvBmbMILOHR4wgBXIHDADeeUfGnFDivKit8wJ4x3kBSOiIii41zou3r3IzM8VOX81VGp9tZIuWY1G6vTerAJslYVdpO7nzkhfuvHBUI/3hnSV6qD1BfX3F+K/WKwwnn5mTA0ybRu6/+27eHFSAfHzjxkTEXLhA1nEcMICckydPAsOWNcI7mIlZ17ri779Jkz//HPjrL5JW89FHxIyaP5/k1dy/D0yZQhydChWA7t2BL74A4uJg67zoGTbS6wR1JV6koSOWw0Za1mkBzBU2ysryfB0VtflXFB42yovaCzs+2ygv7jovJjAQuHjRG6nzkpqq38BLZyYA2q+AnHzmxo0k1yUsDHiUjuSyOY0akTDTjRvEWWlT+w664Xe8H7UQCxYA//0HfPihbUmJwEDgzTeJ2Fm7Fmjdmjx+4QJxdEaPBp54Aki5fld8kSdyXvQSL45mQ9CkXYDtsBE9XqXJzErwpnhx13kBPD/w5uecF6MSdnnOi3bccV5ycrw721EjXLzojf0ceUd5L2pPUOm2WjsRJ59JXZc331R/ToaHk9DPjpkn8TtewBeFJuONN4BKlRy/xmoFOncm+TB37gBbtwKTJwPFixMh89nOFuLGnsh5cTds5GKNmPhCVfEm5uNrDEdOCRM4L2o6OcAcOS/S2Sqe3p9mCBuZxXkxS84Ly+LFnTw26esZhosXvbEXL47yXrR0JO6epA4+88QJYMsWIiiGDtX21jbvq/LkjIgAnn4aGDUKmD2bPPbVfx1xEtXJP3LOiyCw4bzIdLAHDwINp72K7/EmRuJrvPhWhPK6T94eKLR2xGYIG1ksLvdnejqwYwewf7+btbn4VGn94M6L+2iZQWi1ihcxJhAvXknYfaxQ6rwYsTS9TOf1xx+iYOnWzTbaoRodZnd07Qp06QL88YcvBuFb7EQbWOXEi1TAqRkw9HJeHHSwixYBAwcC6elBKIcLuG4piVWr/NG8OdnXLvevUWEjo8ULjbHL1fXQGDa6eBH42/o69qAW9nUqCp8QsvpF3bpEMK9bR/6k/XS5ciQH6949stJHUhJJmbFayV/JkkD79kCHDkDLlpKfX2vOixlmG3HnxRYz1XlR66iGhpI+gYuXxxD6owcFkZNdznlRu/AYRa+wUVAQrlwhoZ41a8hDZcoAEydqe9tcdDo5Z8wAtq5NwS6hFRajN/om7Mi7kdZF5jw4VXr6dGDYMHK/Sxdg6TgBJxMy0O01fxw/TurcDBkC9OuXtxRMLo9j2Cg9nSxkWqQIURP2bVHhvGRnk1yqb74hieLAt+SJWHLzzz95X0OLfcfFEcFz8aLj9793j+RrTZ1KfvoKFYjgKX/2RYShDLAzBpY0MlO+b18FRZzNEDZifao0d17yorWNoaGkPgYXL48h9Eq2WjXg8GF550Xr0vQ6hY1uZBZB/foklcTXFxg5EvjkE/eWNQJgGzYSBOUl8e0oU1rAeMt4vCdMxgh8jSa32tEAkgjtAHx81CWaemiq9OnTwPvvk4c++gj49FPAaq2AZiADZteuwKFD5PEJE4C2bYEPPgCefNLufb29OBoLYaNLl0h2N0Dm6P/+u+10NwUhmdOngdWrgXnzSM4UQN6ikd9RNE/bhmbjn4GlRnUcPQocPUr65zZtgBdeAJo0Ia5KQgIJod68CRQqJP75+gI5iUnIbtQE/6I2NvZYhI27QnDjBmk2aXp78rcV5A/Al1+SXLKXXnJyKvCp0nnR6rx4Q7wIgtjHs1znRUvCLmCq6dJcvOgNPWhq1CDiRc55kXZUBjgv/9vaEXfukCb+9BNQs6a2t8uDdHBJT1cfW6fcv493c6biV3TDfjRF29Q12BWbjvLVJDN7tF5FemCqdHY2cVPS00lIYcIE28GqZElgzx4yJi9YAGzbRmrebN5MBravv5bMpvb2ytwshI2k7/HHH2TK2Zdf5n3eTrwkJJB9t2oVES+UQoWAt94C3n4bKNmlH6mO2LgG0KE6XnjBcTMiI4mgkcXnHoAzqIIzeOmF7hB+fAkXLiD37+IXK5F6KQ5C23ZA1WrYuBE4exbo0QP44Qdg0CCy7mm5cnYLOpvBeWE9bESdF2+Iq5QUscJ5fnVepK9nGJ6wqzdS8QLIOy/0JLNa1bkGOuS8bEAH/PxvNfj4AMuW6ShcANtO0Z0T9NYt+CEL64O7oyaO4wZK4On2Prh2TbKN1o5YL+dFEjaaNYuIk9BQcuUvd5Xt70+WVdi6FTh/Hhg8mPz8v/xCat589hkJSXi1+BvARtiIHit0EPrqK+D778n9zEySdCL9TBDhV7s2qQt0+jQ5jdq1I/v/2jVg0qRHM9T1crKk33PvXlgsJGTUti0RSl+Umo3pGIYZA05ixgzg339JEcaAAGDTJuK8Va5MvkLz5qRKdVYWzCFeWE/Y9eY6W/R8sVrZLpr4GDgvXLzojb14SUjIe7BKOxE1oRV6MmsMG6U8yMZgzAFACtHVravpbRzj5yeKMXdO0EcF6gpH+2JL4Z6oiLO4dNUXMTGSwruMOC/n00qALs311Vck2dMV5cuTWVWHDwMtWpBd9ckn5LWj1jyB6yjuffFipPNCj5Vq1YAxY8j9gQOJIpQeR8HBSEsjeUXt25PwTtWqxD28fZuIhP797cYUvZwsO/Hi8Ds8+rzAQPJVjh8nrly9euRQzcggL3/5ZdL27443Rzr82RYvrDsv3pz5JhX7asPi3HnRFS5e9Ib+6CVKiAeCfehIS7IuIMZ2NV4BTYh9AZdQDqUikjF+vKa3cI0eHR2trhsVhaLRArYiBqWKpOH0aeDVVx+5tgo74pMngT//lOwyB87L9evEBfn0U5J20agRyYXo1o0k2U6bZnc+p6UhDQHou7UXUlPJ4pMDBqj7mnXqkKTSFStISOH+feCr9dVRDhcx5vQryM5W936aYClsFBICjBtHSi1nZQF9+ojT5K1WbN7pjzp1SGI0QMJChw6R0IzDxFi9Bgzp9zx8OO8FhIM6L5UqERPp8GGyq8+dI45M4cLEgRu45hnUx2Ecul7UvfYpwd2p0t4WL0pFFnUX3JrrrhCtogDgzovOcPGiN9LBgE4psRcvBti3y5YBUy69CACY+eZR1ce0YvQ4Qam9UqQIEBmJMriCje/vQFAQqUczYwby7EP7XL1Ll4jQqVkT6NSJuBqffALcSC2EJIRj753K+P57cqVeqRIJMXTvDowdS8TEP/+Q5Q9WryYuyf/+R2YLHT1K3v/ePaA9NmHXtXIICSFLHmjJT7ZYyOKWx4+TWTIta91FJvwx4fob6NyZrDXlUVgKGwUHkx3y3XdE/J89CwwfjisohRetv6F9BwvOnAGio8mkpFmzFDj3nggbZWQQNeLoOzjAaiWhpjFjSDR5+nQgKjQF/6EGmm4ah/HjPbyKgbvOi7fCRmpFlhHOC8viRZpUnI+dF56wqyfSg6ZAATJinjiRN+/Fi8WiMjPJbKIZMwDAF72wDM+1LKjuc9WgxwkqcV5oHkT1oIv4+muSK/LBB8DTX/ihFoDrPqXxVmdg/Xoy5bV6dfKy338XBU1UFNFDn30GfG6pAQFJwB0AkoXKrVYSRqtdm9j5lSuTx65fJ39LlpCxtGlTkpC7fM3/cAylERaQhjXrAlG+vPavSz+/c2egc+RpLG82E/0tC7BxYxAaNSLfpU4d997fISyEjaTOC4DUgIJY+9of2PPFX9jzR3McQT1kZfnBx4e4YOPHK5iCTNErbGR/Vb93L1lxlKKyzktICClV8IplDQa/44NfhO4YNw5YupRMs3/mGaBVK8erTzjkzh1yzsj9nvl1qrQ3nRetNV4A8diga22pyXdUQ2qqmFScj50XLl70JDVVLLZVoIBj50XrlEWVU6Xj48lsll27yP+fFJmLcbcHA0Fb1H2uGvS40pU6L3RqRkICBn5CQkDr1gGvfN0AI9Ab/zs2E0mHyCZxcY8WdXzEU0+RSSt16hAHZfp0YPduYo+UwDVUjymBOnUtaNOG5J44GxCHDyd1O9auJZWAgdKIRhw2Dt2Gum16af+u9oSEoBdWoEbBm3i+4HZcuEDWfzp61M0Cgo7QQ7y4MS0egI1rERtLpi/HxtYHUD93k1aB+zFzfxPUrq3yvT0RNgLy5r1orLAbGWXFz+iBldVPYXDcGJw/T2rUfPMN6UI+/ZTk+CjavampRHVHRABnzuR9kR5Tpd39rZWgNefFG+KFhjEjItS/VnpspKSoUODkQuzBA7JrihUjFzsOkQoPtVWpTSReeNhIT6QnT3CwmL3pyHnxYNhIEEgYZNcucjyuXg18GjYFVgjapzArQY8rXeq8FClCkgMAICEBFgvJH4iKAk5cK4i+WISkrFA0akRyH/bvBxYuJOGhTZvIzJ4GDYj+efFFsi+unUtDEsJxDaWw+bcH+OorElZy1Y8ULkwK+n3zDblgqhByE3/jCdStoPNJ/qizqZu+H//8Q1bxvnePpH/Qiyld0Robp52iILhf2fTRwL/iZhs0agTExhIXbeiANKwoOBgXURY7K7ypXrgA+iWbUvESHU1upeJFENxe26hH6J+4eJHkXfXrRwaohw+JaO7WjVT7dcmtWyTOeO6c8xINWsVLTo7nV+cGtDsv3ggbXb1KbpVk5tvj5yfWL3Ihps+fB6ZMITPTAgPJdWtkJAlvv/aai0WfpaFgpypHBi5eHlPsDxpXOS8eDBv9/jtJBg0KAvbtA557DtqvvNSgd9goMpLcf3TFExVFBAoA+CITE2r8hD17SIHWxo3JIP/pp2TarNwFYonyAQj3e7T/VU6XtljIVXBcHPBfy4GogAsafH0X0I44JQURBXOwYgXRCf/3f0Q46Y67zgvg9qBx+YYf+mMeeu0cgORk4pgdPQrM+C4QPZd1Qlmfa7DUrKHtzfV2Xlq3JgPQ9eviQJaRISpLN1aVDgsjIvv778nbz55NIkBr1pDZSnv2uHgvqUA7ftzx81ovmgDv5L2w7LzQvlyLeLFYXB6PZ8+SfqxiReC994hGtr82WLEC+PFHJ5+j9YIE4OLlscX+oHHkvHg4bJSeTkMbJN+lOi1Pq1U0qcEDCbsAbFaW7tgRODh0CWJRDR832GBb9MsVFovbJ2hEBOCf8ei31ntfSkVBaioqVBBFy4cfyo9JbqFVvPj4iMejRvGydy8JEZWfMwIL0B8Acc02bxYNDnTqRLKvFy/W9Bm6i5ciRcQEJOq+2E3nVoWDZFiLheR37dlDptZfvgw88QSZWXX+vIP3kr7Hv//mfV6reJEKdG9WAlbrvEgLyHkKd8QL4LSO07lzpOL2wYPk9Hr6aSJgz54lhlpmJsm3A8hMO5u6V1Lu3SO3WvJyTCReeM6LntiLF+q8XLtGFl2hlqGHw0azZpGqn8WKiSLG5nWedF50niqd2xnZLc7YsPBFAOeBoBj17x8WRnoDdwrVaZ3u7grpb/PwIRASgjffJIVn160jlvH+/ToaPu5cpQUHE6WsQbxs3w7ExFD724oYbMFHfW+izaev5924ZEn1baPoHTYqUIAk6h4+TMRL9+7ie6tdqgJwmQzboAH5qGHDiH77+WdSUXjQIJKAbjM+KRUvao9Zi4W8Ji2NTfEiDWGmpqrP81CDXuLFTkyfP0+Ey/Xr5GJz82Yy4c6eDz4geXcHDpAcvE2bgBs3SBXnnTuBggWBYhd8URQfI8S/HPxmiuW3/PxICD04mHyWbKici5fHFPuBoFgxcrRkZZGKWrQT1jrwKRAvCQmiOv/8c8mYRE9sgO2wkSDY5rzQ6qr2K0u78130OEE9JV5o5c6UlNwB02IhywrUrAkcO0ZKoUyapNPnuTP1MySEJGOoFC85OcQRFATion1peR811n8J1PxafRtcoZfzQs/tkBDyQ8yendd5UVt0kr4GcCoKwsNJqHTYMDJ4bdxIZg/++Sep1Fuf5jV7ynmhr0lLQ3ZyGpLukNW2790jbkC9emJxZF1Qe25J3a7kZH3ES3o6+VLS31MQPCJeLlwgYuLaNVKncft2ifNoh68vmflYrx7J6WvcmKx+YWs4PUH+TgJ4R/59ihcnfcozz9g9YSLxwsNGemIvXnx8RMEizXtx1751EjYaP550KnXrAq9LL2IzMsQsL5bDRrRHBPIk7NrgTkesxxIBMqtK64bMNOToaFL6HgAmTwZ279bhc7KyxP2oVbwAqsXLjz+SDjcsjLgJNfzPkifcXhlUBr3DRiEh4hTpw4fJQEunuGlpvwpnqE4dYMMGclVeqhQJMzRrRoSMINi9x5kztmImO1usHaDwnLlzh7h9Y8YAL6UuQS38i+B6lREZSXIyGjQgpQMiI0nF4J9+0intRK14sVr1zXu5f5/s4E6dbB+/c4fsY4tF3hZRgt3xuHEjKYh59Sop0eBMuFCqVBGX/jp0iAiX1q2BuXOB2W8cxif4FP2Dl6FXzxx07w48/zzw7LNAhw4kFFW6NHFrOnYE3nxTjDIBMJV44c6LnsgVBipdmsTsL18mqeOAxxJ2d+0Cvv2W3P/6a9uFeW1e442wkdbBgua7hIaS70tzXlJSyH6z7+zzm/MCEPF7+3YeUdCtG0lIXrSICNNjx7Rpjlyk768lbKRBvKSnAx9/TO6///6jn9euzouu6B02CgkhSShFipDfqG1b0YEpVMi99imchty2LUlofuMNMovw3XeJEdS4WA00xDtojj2on30YPrGx5BIdUHz+nz5N+pANG4j+EelMbh5dV4SEEEcoI4NcV6xcSf4iI4k7NHiwG92MlnMrJIT8RnrMODp3jvy2mzeTA5ZeoNAL0KJFtV+0PBIv2Q9TMWEcmVwgCEDDhiQ0XFRhoeXBg4n7lZJC+oTKlR898dsHALYA//sI+Ezem0hNJefgN9+Q5PD160nNoQEDgMK0Q0lOJqpI7WwlL8Juy8yIXLVSmvciTdrVmnviRLycPUsWf8vOJhVbn3rKbgPaeVssOnu8drg7VVoaMgLI5TnNyJUk7Wqtq5H7ngCbOS+AU1EwfTo5pC5eJFV/FTFrFpmiYA89Xn19tXXGGsTLnDlEyxcvTsIgANz7LV3hCefFYhHdl927yUnXsiWpDKwWjdOQIyLIjMKZM8lPd+YMsOz/SmMYpqMxDiIKt9BjYEHMn09ypJLiJW5tUBAyMsh1wpkzJH9i5UoiiqpWJccYFS5VqpDBcWr0ZPyJZ3Bh2R5kZJDrtOvXSS2pffuIYClXjgiZkSOJMzNvnsb8WS39o56F6ujnZ2cTIUOh4iV3CXgNBAfjJKqjw4QnMH48ES6DBpHDqFgx5W9jtRIBMnGiRLhcvEhKkANE2TogKIhc3P71F/md4uLIZIBSpYABH0TgM3yEjzEBI9/NxNKlns+B1gp3XvRELvmRSmk6KAPuJ+zahY3u3CEOZ2IiiYEuWCDzWulg68kiU+4OFtJkXYC0NTKSnGEJCWIYzmjnxRthI5mOmIZannySXDV16UL+HHLnDjB0KBEoXbvaCgRpvouWY0KleElKIkmmAAlv5jbFk+JF7+UB6HceNoxckLRuTZaVzp3Sp7F9ADmmVVxYWCyk4nDPnkSg/DP/MP5ZfQ1/oRUSURg/HyiMnw/QrSNQBPHwRRaSQn0cXlvQSs/9+hE9lluLreEvQPwhoNBQwM92+yZNyN+ECSQfY9w4EgZ56y0Sdlq2TLxeUIQWZ1rPis/Si8NTp8RFdt3Md7l4ERh78n0sQ0sI/1kRFET07muvudleCl2JvW1boiRd0KIFWftt5Uriwhw5Asxf6Avg0Uk6i9zMmUNCUh6r8q0R7rzoiZx4oWe/dJEarWEjmYUZ09NJOOHsWXJFvmaNgzHAG8m6gPviRTpNmmJX6wWAPjkvrIaNXHTErVsDI0aQ+/36kU7RIfSYzMoC/vtP/jmtsSeVA8akSeQ0qFaNXM3n4smwkd7LA9Bz+8knSexm+nTtwgWwTQrVWEOlcGGSvzCm7T78geeQgEj8jeYYW34pnnpKTM+4jSjcRHGbXREeTvqNunVJGO/8edKHPPecXRFZBeE3X19yPJ49C0ydSrqrtWuJsDl9WsUX0nJuecJ5AUjFRIpG8SIIJE+tShVg6ZXWEGDF8zXP4PBhHYVLVpZYAOvNN51vK8Hfn7Th0CFgxw6ymHt//0UYihkY0usuQkOJs9agAXHUvFFKRylcvOiJM/EiLZGpY9howACS6xIWJq7vI4snB1sp7uYY2IeNAPmkXT2cF1bDRgoqhn72GYmT37lDDBWHm0pXrLQvEkMTTbXkagCqxMvhw8SqBkhHblObx2xhIz2h05AB9wXWo2PSt1J5NMdejEt+D9u2kVks9/ecwGHUw5FCT+HiRdIdZWURN+zSJXLV/cUXTpagUNHGgAAS0ty1iwinU6eII7xpk4LvkJMjHrNGOS/S73jqlHhfg3i5d4/UMvrgAxIVbFvyPxxAI/z20k+oWtX9puayYQPJwo2MfFSRVB0WC9CmDcl3mhc9BjPwLma+ew6xsaRwYnY2OX+rVye5OSzAxYueyIkXOjDIOS86iJcuXchY/OuvorspC00pN4vzQsNGgP7Oi7tho+xscQq3Ac4LQAaIVavIzIR//yU1H2RLhkvFi/302WPHyG2tWh5rJ21C375kt734Ipn5YIPZEnb1Rq820n6hQQMyGsXHkz8AodZk1MNR1A27gLJlST0Qm4R+pW1U4Q7RZTtatCDXCS++6KTAHkUaEmfBeXFDvBw/TkTbqlXE4fjuO2DTiwvQCP/ov7L0mjXk9tVX3Q9l03354AFKlCBLVqxfT4Tt1atEG3XrJhaYNgouXvRErmaGXNhI61W7zFTpF14gV05t27p47f/9H7nVtECMCvTKeZELG0kTdo2cKi3tYL00VVqOkiWB334jxad++cVB7RdnzsuRI+SWzkjxUDsnTSK6qXBhMismD95yXpwuCOMCM4mXwoVJJiYg/uZ0pNHafo1tjI4Gtm0j+TMPH5Ip1dJDMg9S4cBKzgvNWFUgXgSBhF+ee47kiJw5QxJhd+8mLrklRCcn0B560VetmvvvJXNx17EjyY/54APimq5eTYaSpCT3P04rXLzoiTPnRRo20rnCrqIFTtevJ7f2tQv0xt0ESfuEXYA950VrB6sUFTUrnnhCFAQffyxT/0U6g8WReKlbV1MzlQwYx46JSbqzZtn+rADIwED3pyfFC6B9XR5BMJd4CQwUL1KOHyft/+IL8r/W81/Fumr2+PsDy5eTrvCff4CPPnKyMX1/qxWq1v3wlPOSnEymVWVkiGFWB+JlwwZyKj31FAmtCAIJ6R4+TFwoAPqFMe2h44uW1a7tcdA/BgeTC5EjR0i/88YbxMEzCi5e9MTTCbtaO5D4eLJgBiBTUlFn3E2Q9GbCrlbnhe5/Hx91HaxSVF5F9u9P6r4Igli8KhfpZe6tW7lhBCQliZm+HhIvNFyUlUVs5h49ZDaSduKeFAaA9mOS1mABtNXDcYVe4kXar9BQ4L//kqzZQ4fI/n3vPUPaWKoUKWEPkNWSHea/aJ0VqWeROvv+NTaWCBhBsK099YjLl8nx3bEj2d3BwWT6c2wsCRnZbO4p8ULHF635a1JcXNzVrEmmWX/+ufsf5Q5cvOiJM+dFui6IhxdmzAPtKerVIwU2PIknwkZyCbvuhBrcdV48OU0aUJSwaw+9ml23jsz2yMXeo6fuy9Gj5LZMGe1Xa07ES04OmVF05Ah5+zlzHIxF0uPEEy6Wr6+43pDWY1L6/Tw5ndsTzsuxY6RELkAqkUnPKzXokFTctSsprgYQsU2NDBu0htQ1nDMOsRcvp07ZhowsFly/TqYYDx5MIjWrV5NrmREjSIL0nDmQT8j1tPPiBfECEGPMU92fUrh40RM58RIWJmbG0QNMj7CRmvi9t0JGgHsnp3RdI7mwESs5L56euaUhfl+5Mvl5BYEULsvFXrzQpF13812ctFMQyLTKH38k2mHFCiez4KTrAnmqmqe7Awb9foGBKrNcFeJGSMYG6UURFS9HjoilmOn8ei1oSNiVY8oUYgrdugX07i1TAM1d8eIJ50UiXs4UbobatUm+2csvk9k5qalAq1bkemDKFBf6wdPOiwfDRqzBxYueyFXYtVjEwCAVL+4uzAi4yHqTkJUlOi8dO6r7PC24cxWZlCTO4nEWNnJ3kUm9cl4YEi+AWLH2hx8kiXSOnBcPipcpU0jRK4CUnmjf3sl7eDKXhOKus+HpNnrCeSlXzra9w4aJDqYWdJrOHRRE1kAKCiLV9+n0+Vy0nlueSNilF1CxscCVK3iIEHSL/RzHjxOdXa8eMbPWriUrOtesqeC9PSFeUlNFN9hLzgsLcPGiJ46Kftnnvbi7MCOgPHS0Zw+ZJl24MJm352ncOTlpvktYmO13tRcv0u/ujvPy8KG22tf08z0tXlReRT79NJkun5wsFtt0GTbSWbwsXgyMGkXuf/UVmbnpFE/ONKLo5bywLl6kOS9WqziahoerWEvCATo5LwCpFTJ9Orn/4YdkeYJctPaNnnBe6Llx6hSEy1cwAPPwX1IJFCtGjJjDh8n36NxZRXqOJ8QLvSj28VFZytgBXLw8ZgiCfNgIyDvjSA/xorQT+fNPctuhg2csb3voyZmVpWqtFgDy+S6AKF5SU8UFGinuOC+Ats6O7ntPBX01XkVaLKL7MnPmIxOL/gZ0hsTJk+R9abVdrcm60nY+6oh//plUWAWA4cNJ6Mgl3nBe3B0wHJ3XeuEJ5wUgsQyAqEl3r8j1auMj3nwTeOklcoz27ClZ2Zgl54WeG3FxmL2lMn7EK/Cx5uDnn7UvKm1/zugCvSguWFCfpV+4eHnMcDYjwd550XqCWiyySwQ4xZv5LoCtmFB7gtLZL3T9IkqBAmLSZUKC2IFareLjaggIEF+n5QT1dNjIjeTDXr2IyXb58qO6VdR5qVqVDOJpaSS7MDubbGi/r9VARUFyMv74g3x2Tg4ZmL76SuF7eMN5edzCRvT9xo0j9Z1Gj3bvfQH98nIeYbGQhRvLlAEuXADatXt0bcdSzkuRIkCJEtiLphh+aSgA4KsB59CihRvv7UnnRY98F4CLl8cO6Ulj3xFLnZfsbHFA0eIaOFicUZYrV4ATJ8gg366d+s/SQkCAqP7Vdsa0mqV9oSW6OCNAknalzpWWKw2Lxb0lAhjNeQHILhk4kNyfPBnISZOUWqdhhCVLyG29eu5dqT1q5+akxrlX0b16kUXcFOfe8rCR55yX4GDivuhxNa6z8wIQo2DVKjLmHjhAlou6Ff/oApAF5yUwEJfKtEZXrEYm/PESfhZXQteKJ8SLntOkAS5eHjvoDx0Skrfnljov7hY4U+O80JBR06buJeupwWLRfoJS8SI3x1Ca9/Ldd+S+O1ca7pygnp4q7WbNirffJm9x8CCwaFcF8qCfn1j7Y+tWcutOvguAu1kF8C6moePDlcjIINWeFy1SGZ30ZsIuq+JFr7WNtNaPUoJebbSjXj1iDkVHk0lRrSc8jesozoTzkpQTho6xU3AL0aiDo/geb8BSupR77+1J54WLF44mnMXFpYszSkWHO86LEvFCV9DyVsiI4knxMn68GJMYP15b+wD3pksz7LwAQLFi4q4ZtboZ7iCClDml02dpkrJG8ZKdTSz/Sm1KYAbeRTZ88crLOVixQkPNPm86L6yHjfSaKu2J41LHhF17aNGzkiWBUzcLoj4OY93dJ9S9ic7OSwb88Pzctoi9WwwlcA3r0BmhRYLcXxtOeixqmSwgBw8bcdzC0UwjwHZxRtqB+vlpS6BVKl5u3yZzEQHg+efVf447aLGYs7LE6mrOxMvff5PbKVNI+VatuHOCeivnJS2NKAUNvPMOGRTuJAfhA3xBxIv9AowaknX/+48stPfWW8CdRCuq4yS2IAbL5z6Av7+GhtLBxgxhI7Mk7Hpi8VUPhI2kVK5MVqGuUTQBtxCNZ/eMxltvqTBSpM6LO2tYARBS0zAA87Djv6IoEJSF9eiEkriuajVph+ixXIU9PGzEcQslzos0bKR14FNaZffnn8nA16CBg1KPHkTLYHHxIpkZExREaonbIw17ffSRewW3APecF29NlQY0D7h+fqSAFgAsQH/svVvVVrwEB5MRQyEZGcTNqVsX2LeP9G/TvhFw1FIfMdim/YqXfj+W67zQc9tsOS96onPCrhxlywL/DPwew0GKv8ybR6b+/+9/JAL+8CFZhHbdOpLPtXy5xLygv01OjvoK5HZ8deklLEYfMrNo3j3UwaPCjnqIF3cmNDiCOy8ct3AmXqQJu+4UVwOUdyLLlpHbXr20fY47aBEvNGRUpYp8tmezZuT23XeBCRPcax+gj/PiqZwX6boubtjgLVoAfescBgAM/PtVZIZHkpgSQEJICpy/y5fJpJVKlchtZiapa3HyJPDuMAv8CgS4106esOuZOi9642HnhRKYnYyvMRLbnpuBkiXJnINp00jkOzSU1N579lmyuvGrr5Lp1snJsP1t3Mh7Wb8e+OD6EADA9LfP4pleEWJfoYd4sVrF30cv8eIp5yU9XX25Cy/CxYteKHVevCFezp8nl8dWK6lh7W20JEiePk1uHblEr79OZhpNm6bP7AmWc14sFt0Wmvuy1TpE4A7+vVMSU6dCdF9c5Ltcv07W8CxXjjguV66QgqM//khSqXLNMXdzDcxQ58UM4kUQvOO8eFi80O/wVMUriI0lBnL//sSVAcS88+efJ5HQ338nKxxfvuYj7keN50xsLPDKK4AAK97CXAzunkDORTr7UQ/xAuiftOuphF2AafeFixe9kFsagCJ1XrwRNlq+nNw+/bR4pe1NtCRISp0XR+hliwJs57wAuiUgRvomYSqGAyDOydl2b5Pj0Ykjl5ZGFtHbuJGMiU8/TdYnunyZaGEb7ehuO3mdF32EQWammOvhyZwXD4aNbN4/MBAFChBnZd48UgsmPp78FP/+C/z2G7BjBxHUx46R4uGfWsZgM9oi6ab6/XjmDNClC7mWaem/HzPwDixBj36Xnj1JzZe2bfX5jp4SL3r1j/7+yE1g4+LlMcBZwq50tpF0ITotuHJeBEEULy5rs3sId8JG3srP0SPnxZPLquq1Sm5GBl7HEsSUO4e0NGDAui4Q7iSSy1UZBIFMtf7nH3LYnjxJZlb37OlAq5lBvJglYdcdYeBuCQZXSAWWmwmxTnHgTFssRKhIa1I2b07KAdStS1YWGZvyAdpjMwo1r4YGDcikxKtXnX9ccjJZoqBmTeDcOVI077cCveGPTPE7DxtGlJN9wrtW9BYveoeNAHEc02PquYfg4kUvlOS85OSQkwDQ3sG4Ei+HDpHLiKAgoFs3bZ/hLlrCRt4WL4+J84KMDFgAfPfcBgQFkQXkfvjB8ebz5pHnrVaygF716h5upxnCRmZI2JX2B54Q1VIxoXRRWC2oPLdKlwZ27wbmzAF6ha9DRZAZi4cPk1URSpcGWrcGVq4U13wFxPW/qlUDJk0ixlXHjuT8KJJxPW8b9AhVU1h3XgBTJO1y8aIXzsRLYKB48t+4QW7ddV4chY1oom6XLvIukDdQGzZKSCD5LICqGTBuQZ2X/C5eHiXclS+akpvnPHIkie/bs20bMJRUQcfEiQpdcjM4L6yHjfQQL/S10grXeiLtrzyZ96Lh3AoJAQYNApZV/QxnURlxizfh22/FpZ3++ouEOytUILOUBg4k0fQ33yTOTJkyZMWMdese5dZ4+vzWU7wIgv45LwAXL48VrhZvoweWu+LFWYXdrCxyuQwYFzIC1J+c1HUpU8azg5gUd5YH8PRUaUC3hN3cq2R/f7z7Lpk5n5REbPLXXyd50uvXk9LsMTFE67zwgrgytOJ25mfnxQzixZM1XgASr6GiyJN5L+4Ih0e/T7RfIgYOJJV7r14Fxo4lKStXrpBZSt99R8bkihWJmPnvP+C55x59vaws0aIxg3h58ECsBcXFC0cTzhJ2AdHSo+LFE2Gj//4jYanQUKB9e23vrwdaxYs369GwPFUa0DXnBQDg7w9fX5Lo2LkziWAuXUp2eefOxC739QX69AEWLlRx8W4G5+VxEi+enAHnjenS7nwPmSUCSpYkiepXrgALFgBt2pAZRdu3E+E+apTdoefp3CFAX/FCXZeAAH2FKxcvjxHecl6chY1oJxsZqW21Zb1Q28kZIV5YnioN6JrzAiB39kCZMsDatSTR8dlnyVOhoSSUdOECES6qoo1q2vnNN2Q22ZUr4mNmChuxXGHXG8ekN6ZL6+C8yB2LgYHAG2+QGUrLlxOnUXbxUE/nDgH6ihdpsq6e4UITiBe1K5FwHOFsthEgOi/XHyWDeSJs5I1whhIeF+fFTOLFTsw2bEjqtcTHk4/SPC6raecPP5Bk8u3bicUjfR3LYSNPJ+zaz+TRMgh5skAdxRvTpXV2XjR/vq+vhoW6FOIJ50XPZF3AFOLFK87L7NmzUbZsWQQGBqJJkyY4cOCA0+1/+eUXVK1aFYGBgahVqxb+pKsjs4xS5+XmTXLribCRN6bwKsEM4oX1qdI6J+w6WngoOtpNQ0FpOwWBWDuA6D4C3nVetAwWOTmeX8KAtk8QtFc09XTOC8C+86JHqNUbFyaecl70hIsXYOXKlRg+fDjGjh2Lw4cPo06dOmjfvj1u3bolu/2ePXvQs2dPvPHGGzhy5Ai6du2Krl274sSJE55uqnu4Ei9UGdNkME/UefFGLoYS1AwWaWlkXSPAGOfl4UP1q7t603nRMWHXI9B2uvqt4+LEbaTixZsLM2oZdKWv8bR4sf88NXjjmGTdedHjnDGbeOHOi+eYOnUq+vfvj759+6J69eqYO3cugoOD8YODYhPTp09Hhw4d8N5776FatWqYMGEC6tevj1mzZnm6qe6hNGGX4okKu6yFjZR0xOfOEfEQHk5sAG9BnRdAfWfnjQ7OAwm7HoH+1q7aef68eJ+Kl8xMUcx7Y2FGLYOF9Ht5SmD5+4uhIjOIF+68uIcnxAt3XvQlIyMDhw4dQkxMjPiBVitiYmKwd+9e2dfs3bvXZnsAaN++vcPt09PTcf/+fZs/Q1AaNqJ4wnkxY9hIGjLyRH0KRwQEiDFttSeoN6dKsy5elLZTTrxIjw9vOC+ZmeK0UqXQ7xUU5CDDUwf0mMnjjZwXL6wszZ0XlfCwkWdISEhAdnY2ou2uqKOjoxEXFyf7mri4OFXbT5o0CeHh4bl/pXJXjPMigqA8bETJz2EjreLFm1gs2hP8vLGf85t4OXdOvE/FC32Nj4/n2ge4F5ZxdV7rhbvixRs5L95wXtxZuFZP58WT+5GHjXTB9FOlR48ejXv37uX+XXW1mIUnkK734Wi2kb0yzs9hIzWdnFHiBXBfvJjJefHU1HktzktcnG0ibHCwZ1036e/k6pjctAkYMULcb96YDQW4nwzLp0pz50VPTCBePDpVOjIyEj4+Poin6/k8Ij4+HkWLFpV9TdGiRVVtHxAQgACjnQbpyeLI/vaG82K2sFFODimDCei36JkatIoXM1XYdTHbyG20iJfMTLIchDdmGgEk3BMQQH43ZwNvbCxZTjstDWjZktz3lnjRy3kxc8JuVpYY1jN6qrRZxAt3XjyDv78/GjRogG3btuU+lpOTg23btqFZs2ayr2nWrJnN9gCwZcsWh9szAf2BQ0Icx8X1cl7yU9ho1y7g2jWSrPv0055vlz1aV041aYVdj6BFvAAkdOQtYQC4TtrNyAB69RJ/29Onya23xYtWYZAfEnbdrW6rh1tpVvHyGDovHg8bDR8+HPPnz8fixYsRGxuLQYMGITk5GX379gUAvP766xg9enTu9u+++y42btyIr7/+GqdOncK4cePwzz//YMiQIZ5uqnaUFLHS23lxFjYyWrwond2xfDm5feEFY0Jdzq7UMjPlO8GcHFEQmClsZKR4SUoSF96sWJHc3rjhPecFcD3wjh0LHDki/n+WrE5sGufFnVwRpXg6Ydfd6raPo/PyGIeNPC5eevTogSlTpmDMmDGoW7cujh49io0bN+Ym5V65cgU3aeE2AM2bN8eKFSswb9481KlTB7/++itWr16NmjVrerqp2klKIrcFCzreJjzc9v/HocJuerrj2R3p6cCvv5L7vXp5p132OOrsHj4ESpUiJ3D16mSRy+++I0JAKhq5eFHWTuq6REWJq4Yb5bzIiYO//iIr9AFESANigrGnlwZQ0j4l5Cfnxc+PJHGr5XF2Xh7DsJFXlgcYMmSIQ+dk586deR576aWX8NJLL3m4VTqixLrz8SHihgqd/FxhVzoYpaTIJzFv3Ej2W7FiQOvW3mubFDog2Z+g586RuvkAyYOIjSUu0b59wNSp4nZcvNgWqcvJkQ+bUvFSsSJQvDi5f+OG+FojnZfkZOC110jCfb9+wIABZPVK6rx4emkAV+1TSn5I2HX3Ozxuzkt2NnDvHrmvt/NCj/esLOJCG7lWngNMP9uICaggcXUASZ/3RNiIlZyXoCBx9oijwXfFCnLbs6e2qyw9cNTZUTFTpgywfj3w8cdkUF60iCwuCJDv56m1T6RtS08XC7lpwVuzjQDHgxoVLxUq2IoXb4aNHBVO3LOHLBRZtCgwbRpQqZLYvuRkPttIiqcTdvUSL1lZ4nHv7TYoQWlhR1fQcQfQX7xIv78n6/q4ARcvekCdF2dhI8DW2svPYSOLxflsmfv3yaqAAFmf3ihciZfChYGOHYEJE8SwwoQJ5DYw0LPTe6WDpdZOLjtbXPrA0xV2AcftdCReWAgb0d+6QgXiEEZEiAPB+fPmy3l5nJ0X6W+k1X3xdhkEWmJDC3TcKVBA/4sT6QUwFy/5GKUZ39Ln9Qgb2R/4rISNAOezZVatIu2vUgWoX9+77ZLiaLYRHdCk4a4RI4AePcT/PS0Q/f1FR0qreJEu8ucp8WK1igOvGvFy8yYbCbtyia7UfTl71jzixZtF6lh1Xnx9xb5P6znjTfGSna3dIQI8l6wLiOUFAM/W9XEDLl70QKl40cN5oSdVTk7ecAIrYSPAefyZhox69fLukgD2uHJepOLFYgG+/x6gieOe3sdS90prRyztGD1ZwdZVO2nya4UKJMcJYGe2kVwbqHg5d877CbuPw1Tphw/lQ6F6uEfu1kfypngB3AsdeSpZl+KN5SDcgIsXPdAiXtx1XoC8BxUrYSPAcSdy6xawdSu537Ond9tkj6OEXTnxApDvtGoVGdy6dvV483QVL55MuHPWzrQ04Pp1cl+asBsXZ1sfydM4mr4vJ17odO6zZ3nCrhQ9BrPkZKBcOVIE0B6aw+GOUHS3PpI39qOvr3gx4Y548aTzAjAvXrwy2yjf482EXftYpHSANUPY6L//iGtUsaI4SBiFGueFUrEiKWDmDcfI3dkTVLz4+Hg2KdqZeLl4kYQ3Q0OByEhilVut5PbSJbINC86Lo7ARXX2cdfHijZwXPZyXK1eAhATy9/ChrVC5eJHcliun/f3N4LwApJ0ZGWw7L95Yy8oNuPOiB1oSdrWeHM5ikSyFjRx1IvR/T10tqEGLeAG8F+rSy3nx9DRHZ+2U5rvQGVp04VU6HdnIhF36v6uwEevixRs5L3ok7EqdL+linYB4rJQvr/39zeC8APqUQvBUdV0K484LFy96oDZhNyDAvQHQUUfHUtjIUSfirVV6laBVvHgLdzs4T69rRFEqXig0dESfY8F5kQsb3bhBwpwAnyoN6JOwKz1GqHilXLhAbqXHilrM4rzosfwHDRvxnBeOZtTmvLh7deRKvLDsvFBhwIJ4UTPbyAj0cl48LV6c1a2gV9fSECEVL3Kuh6dwVOdFTrxERIjnKl3jiFfY9Z7z4o54MZvz4k5BPU87Lzxs9Big1nlxV7w46kRYEi+unBejhQGQ/50Xb4kXaZVde+QGJDrjyP71nkTNVGlADB3RWTGsh428mfPizpW49BiROi+ZmSQfBnAvbOSuKPDGfgSUn9uTJpEK5HLbPeYJu1y8uEtamigaXB1ENWqQAdPd2iaOOjqWcl6crRskfd5I1M428jZ6JeyyGjaisBY2AvImk5tlVWlv1HnxhPNy5QpJ4g4MzCtu1eDuOcNSzsv9+8D48WTtrV278j7/mE+V5rON3IUeQBaL68GuSBESR3e3szZDzourhF2WxEtqKuk46YwcVsSL2ZwX+3ZmZ4szSMwmXqjzQmHZeREE80yVduS8UJFbrpz8+lhKMVvYyFk7164V+3S6KrsUbyXs8rBRPkU600jJSRca6v60VTPkvDjqRFjKeZG2QdrO/CZejJptdO0aCQf4+wMlS4qP24sX1uq8AOYSL1lZ4jIQ3gob0c9Ti3T/x8WJFzN6JOsC5knYVXJu//KLeF9OvHg6YdfTFZXdhIsXd/G0+pXDDGEjMzgvAQHi4orSduYX8WL0bCOaw1C6tK1gZ8l5cZTzYh828vTx6s5VrnRw8caCgvafqQb7Y4SGjvRI1gX0c148GX4DXJ/b9+8DGzeK/xvpvHDxkk9RWqBOT+Q6YkFgK2xkhoRdi0U+Rs6KeHG3IzY6bET3Y3i47eNGOi9awkYWi+cHM3ecF+lrvCVetB6T9s6XvXhxJ1kXyD/Oy7p1Yn8O5BUv6enivuRhI44mjHRepIo4K0tcqJE7L8qxT9rNyWFHYLnbEbMiXuz3Y5Eitk4MizkvhQqRVcXpc54uTOiOeJE6rp5sp9UqDmhyM8uUYP86mveiV9gov+S80JARDQnZixdprqX9xYFe8LBRPkdpdV09kevopAcYC+LFDEXqgLzOi7S9rIgXszsv9vvRagWKFhX/Z63OC4W6L950hrQMFN4acAHnNX2UQPc3bevZs+SiiwXnxVuJz4Dzc/vBA2DDBnK/b19yay9eEhLIbeHC7iU4O4OHjfI5rOS8SC1GlsQLy0XqgLztpO2zWj0fKnBFfhEvcr+1NHTEYs4LIOa9eDusRR1URyxeDDRqRGYuAt4VL85q+iiBvo6uzn7unLjOkcXi3rpGgHvOi7cSnwHn5zYNGVWqBDz5JHmMihUK/T8y0nNt5OIln8OaePH19ewifEpxFTYy2tWgOBIvoaHeW8PIEXol7Bo128jZb03Fi7+/mDTtSdSGjQBjnBdBsF0N3B5BILU//vkHWL2aPOZMgOkN3U/uipfatcnt2bOi61KihPuiwR3nxVuJz4Dzc/vnn8ntSy+J4sSR8+JJ8cIr7OZzWEnYZWmmEWCesJH9EgH379s+biT5JWHXmXjxhjAA5M+ZnBzxvJETL1WqkFtP5RRIkX6+M2Fw7pxYO+f6dXJrhPOi9Zikr6tTh9zGxQHHjpH77oaMAPfOGW+G3p0tn0JDRi+9JOZd2YuX27fJLXdeOJoxwnmRywJnqcYLYNvJSWtCsCZenDkvRpNfE3YBUbx4I2QEiOIlI4MUzwNszx+5dnTpArz1FjBmjOfb5+cnOmTOBt5Nm8T7RogXvZyX4sXFgXfzZnLrbrIuoI/z4u/vuTwSiiORtWsX6cvLlycCj4qX5GTb1ADqvBQp4rk2cvGSz2ElYZeladKArTih7czKEk8E1sQLHWhZFC9md17kfmtaAt7b4gUQj0fp+SMXcgkKAubOBdq182zbKEqSYaXi5do1cmvGhN2QEDGnaNs2cquHeHFneQAWHCzqqFSqJM4kokJK6r7wsBEXL27DWs4LK86LdDCgHYm0Q2FBHADmcF7MJF6kyabOcl5oiMCTna8UOfFCB9KAAM9faSvB1e+dkQHs2CH+T8WLN3Ne9ErYDQ4Wc4ru3SO3eoSNqLiSOmyOOHEC+O470RlmQbzQsHVYGLm1WuWnS/OwERcvbsOKeGEt58VqzXuC0sHMz8/zA6pSzCBeMjPF5Fs1eFu8ZGfbJps625etWwPTpwMzZ3q2bRSrVdwP9uLFW+6PK1yJlz17yHM0wfnaNe9O7wX0CxtJxQtFD+dFKuBcDboDB5K///s/2+2NFC9UyEnzrOTyXnjYiIsXt2ElYZe1sBGQVxiwlu8CmEO8ANoGC2/PNgLk14iS+72tVuCdd4AGDTzbNin2tV7MJl5oyKhLF3G7+/fZGHSVIt3n9ksw6OG8SPeBq3OGJj7TAnks7Ed75wVwLl542IijicxMcdBjRbyw4rwAeZPnWBQv9rONWBIvfn5iOENLB+It58VRsilr0+LtzxtvhluUoFS8dOsm5thdv24u54V+N3vnJSxMHKTdQVqfyVkbc3KA+Hhy/+ZNcmuEeMnKsnUrWRIv3HnJx1DXBfDOdEqKXDVO1sJGQN6MetYK1AFsJ+xaLO6tL+It8QLIJ3KytC+BvOLFTM5LfDxw5Ai5366duEr3tWveW0wQcC9hVxAcOy8VKuhXV0mJeElMFHNijBQvgO2+lAsbUYFCBYsgiDkvPGzE0QTNdwkN9U6hLYpZwkaOnBdWBjOA7bAR4J51603xIpfIyfq+NJN42bKF3NarB0RFkYJuAHFe6PdhvcKudBAMCSHuER2Y9QgZURwtBSElLk68b0SlYkdupRLnJSVFbCsPG3E0YUSyLmCesJG988Ji2IiLF32wH3gFgT2nzf6KnN6yFjaSEwY0ZNS+PbmVc15YDxtJX0P3OQ0d6ZGsS1HSRhoyAoxxXgB5saokYZc6MAEBni3yyJ2XfIwRybqAOWYbAebIeeHiRR/sO+K0NHEKKqv7kt6y7rzk5IiF3Kh4kTovLCSaKkE6NZ0uYdK0Kblt3Nj9tlGUiBep82K0eJGWkFDivEhDRp5cwkQqXlytt2UAXLy4A4vOC0thIzPlvORH8eKt2UZA3kGN7kfpc0bDetjIUT7J6dPArVvk+ebNyWNG57y447xI9/ekScDRo8Dzz7vdtFyU5LxInZe4OO9POQfkhaAS8eKNZF1A+XpbBsHFizsYUV0XkF+BluWwEcs5LyzPNgLkk7OVYqTzIhWqLBSAA9gXL45cDTpYlSwp/pZG5by4k7ArnWlECQggZfD1dBDU5rxkZJAEXhbEi5qwkafFi3Q/MBg6YqRXMQFxcaSo1sSJ4mNGOS/0oMrJEa+uWRQvZgobpaSQ2QesihezhY1YdNnsBzWzTJWWOyaNynlxJ2HXW2JRbc4LQEJH3hSBQF5nWhDYcl78/UVRycWLiYmPB4YNA778UozlGx02AsQTjsWcFzMl7AKknayJF7NMlXZUTZmV/QiY13mRO2+o85KQIObemSVh19NhRLU5LwCZceTN8BuQ9/eWLmIr57zcvUue98Y0acD9Ug0ehosXpVSvToTBvXvA+fPkMaMSdgMCREVMDyoWc17M4LxIkwcfPmRPvJjdeWFlPwL5S7xERIjnOq0Qy3qdF2/tbzU5L7TExc2bxoeNqOtitdruIypecnLImOMt5wVgesYRFy9K8fMD6tYl9//5h9wa5bzIKWIWw0ZmSNi1WMT23L0r7kdWBl2zixeWfmuzihc5IWixiO7LpUvkloeNbN9fSc5LjRrkliXxEhZmmwPk7y/+9nfucPHyCC5e1NCwIbk9dIjcGpWwC+TtiFkMG5mhSB0gtodOmZQ+ZjRmn23Eyn4E8l6RmyXnxZFjSfNeaKVY1hN2Wcl5yc4WQy/0gpQF8SKXrEuh7ktCgvfCRgDTheq4eFEDXUTOaOcFyDsLhcWwkRlyXgCxPVS8+Puzs+q1WZ0XFoWqWZwX+0HXlXiheNN50bLSudxsI0/gSrwkJJAQjMUC1K5NHmNBvMgl61KkSbvceQHAxYs6qPNy+DA5+FkQLyyHjcyQ8wKI7aFlwlkecNXAQtiI5X3Jmnhx5Go4Om9o2IjizZwXwPkxKQi2xdcAdnJeaL5LZCRQqhS5z4J4UeK8cPGSCxcvaqhWjZwYDx4AZ88al7ALmCNs5KgAHKvihTovLA64Zq7zwgqsixc1OS+AMc6LdLKAo9DRw4dk8ciICOC//8THvT3byJG4ovkuRYsCxYqR+yyIFyXOy+3b4pRpHjbiKMbXV4yRHjggKmUWxIuZwkYsiQPAHOLFbM4Li7+1Weu8KHVevHHuWyzOk3bv3SNLGGzdSsJKBw6Iz7GS80Kdl+hoUbzcuOH9Oi/2zrQS8XL+vDidmj7mSbjzko+goaPt28Xqtiwk7PKwkXZYFi9mrfPCw0bqofswNVUcoAC2cl4Ax+Gtu3eBtm2BPXvEx2iIA2BHvMg5L6mpZAkGgO2w0alT4jbeSMTn4iUfQcXL1q3kNijIGMFgprBRcjK5CqMCizXxYj/biOUBVw18tpEtZhEvgO3A62hfGpHzAsg7L5mZQEwMcPAgGWjbtiWP05kx0u2Nznmh4iU6mrSFigVvTjkHtIWNTp8mt97IdwF4kbp8BZ1xdO0auTUiZAQ4rvPCUtiInpyCYNuJsSZeWHZezBI2sr8a5zkv6pGKD6mr4ch5KVpULLAIeN95kYqDPXvIRIawMGDnTqBNG/K41Hnx9mwjR+cMDRsVLUpuqftCvw/Lzgvto7yR7wK4l3PnYbh4UUvVqrYnn1HixQxhI+l+olc7LE1Dptjn5nDxoh4z5LzY70vWcl6klVWViBcfH3EABowNGyUmktsaNYCaNUVngPWwESCKF4pRaxs5c17snRZvOy9S8SIIYsqEgXDxohYfH6BePfF/Ll4c4+MjtpN2GCxdiVPs28TygKuU7Gwxb4LnvBCk4QRBYM95AeRDMs72pTTvxVvnvlwbqWtA8/+MFC9Kp0pHR5Nbo8SLlrARxciw0cGDpE+RjoMGwMWLFmjeC8COeGEx5wUQhQEXL9rQKl6o6wJ4V7ykp9uuzs3S7y3dl+np4tUjS+JFjfMCiHkv/v7EufEGcm2kZSNoyMOZeDF6YUZWnBctYSOKkWGje/eArCyxsrNBcPGiBal4MWKmEWCOqdKA2OHSqx2WBjOKGcSL2piztPqpN8ULQAYNlp2X1FTbgY2VsBGQd0DLzhbPcblzhzov3vwOcs4LFS/2zosRCbvOcl4yM8U6Kdx5cY1c2Ii2U05keREuXrRAk3YB450X++UBWHNe6AnKsvNiP8CyNOBqzfaXOi/emG0UFGRbvIzFnBc6qGVkiO3z9fXO/lGK/YAmdTecOS/evGiRczbsw0bUGbh7l1ylS7f3Zs6LfW7G7dvkMR8fURAYLV7oUgvOnJcCBWyPUxbEi5zI8iJcvGihcmWxIzFavKSmkpPRLGEjlgYzihmcF63ixcfHO+EEi0UcNBITxQGLxX0JiAmmLIWMAMe5Q76+8uc2dV6MEC/OwkaFColilu5rb802kv7O9o4ldYCLFBFnahUvbruNt8ULQPaNM1Fgsdi6L94OG0n7H2ciy4tw8aIFHx+gfn1ynwXxkpUlXmGwFjYyg/OSH8TLd9+RmR5XrpD/vTnTiGL/W0sfYwEzihdpvgsVA1IqVya33hrMAGVhI19fsW+keS/eTtiVfibFPt8FMM558fcn+wkgwoUKVUeOhlS8cOfFc+IlMTERvXr1QlhYGAoWLIg33ngDD+0X6rJj3rx5aNOmDcLCwmCxWJBETwgWGTECaN0aePZZYz7fPvmQwqrzwnNetGHvsMlx+zYwfDhZR2bDBvIYC+IlONi2DonRWK3i/qB5DyzluwDOxYscDRoAy5YBP/zg+bZR5JwX+7ARYJu0683ZXb6+4u9sL/rta7wAecWLN/tQOcHvyNFgRbzQ3zq/ipdevXrh5MmT2LJlC9atW4e//voLAwYMcPqalJQUdOjQAR9++KGnmqUfXbqQYkzlyxvz+dJBTXpgsSZeuPPiHtLBVSpSpXzzjTgwUEeBBfHC0n6k0P1JxQvrzourxGeLBejVC6hVy/NtozhzXqQDr1S8ZGSIU/e94cY5mnEkra5LCQ0Vt5cuPOkN6L6gxef8/Bz34UaIFznnl5GEXV9PvGlsbCw2btyIgwcPouGjmTkzZ85Ex44dMWXKFBS3jzE+YtiwYQCAnTt3eqJZ+Qs558XXl60rXUAUBlStszigmUW8pKbmtbQTE4GZM23/B8TZRkaIF3p1y9J+pAQFkWORhjJYFy8srgcmJwzsw0aAGMq6fdv7s7uCgkib7MWLnPNisRD35fx57ztx9uIlPNyxeKKCxcfHe7NcH7ew0d69e1GwYMFc4QIAMTExsFqt2L9/v66flZ6ejvv379v8PRZIZ6GwOtMIyNvpstQJU1iebeTnJwpSubyX6dPFAQ4QHQXqvHhzJo0ZXDY6OLGe80IHXZbFi5qwEf0+fn7eOSYdTZeWc14AMXTk7ZxB+nvfuEFunQkC6rxERnrPHXIWNsqPCbtxcXGIioqyeczX1xcRERGIk8b2dGDSpEkIDw/P/StVqpSu788scs4Li+LF3iJmqROmBATYOlYsiRfA8cquSUlEvADiQng8bOQc+7ARazkvjtaIYmlf2gssQXAdNvLWTCOKo7CRnPMCGC9epM6LI6TixVs4CxuZyXn54IMPYLFYnP6dokt2e4nRo0fj3r17uX9Xr1716ucbhlzOC4vixQzOi8Vi2y7W2uhoxtHMmeQqqEYN4M03yWP2zgsPG9lCBzWz5LyYwXl5+FDMZ3HlvBgtXhw5LzSVwdvihf6uSpwXGoazMwY8CsMJu6pyXkaMGIE+ffo43aZ8+fIoWrQobt26ZfN4VlYWEhMTUdRe8bpJQEAAAlgctD2NnPPC2jRpwBzOC0Dade8eezNkAHnxkpxMEnUB4OOPxYGCOy/OMVvCLovixd55oYOZn5+tk2WkeHG0vhHrzoszQdCpE9CtG/DGG55vF4XhCruqxEuRIkVQREE9gWbNmiEpKQmHDh1Cg0fVaLdv346cnBw0adJEW0s5tpglbMRyMqwU2k4W2ycnXk6eJNVLo6KAl14CTpwgj7PgvNCS8CwNuBSz5LywLF7sXQ1psq40F0O6RIC31jWiyOW8ZGSIv7sj8eLtPlRN2CgyEvj9d8+3SUp+CRsppVq1aujQoQP69++PAwcO4O+//8aQIUPw8ssv5840un79OqpWrYoDBw7kvi4uLg5Hjx7FuXPnAADHjx/H0aNHkUgPOI6IdHkAlsNGZnFeqGgxi3ihHUhUFHGKIiLI/4mJJAfByNlGNITA8r5kNefFDKtz24eN5PJdADHMwUrYiEYD/PzyFhd9+mmgYkVyIeBN7EOtBguCPNg7Lzk54jFpJudFDcuXL8eQIUPw9NNPw2q14oUXXsCMGTNyn8/MzMTp06eRIjm45s6di/Hjx+f+36pVKwDAwoULXYarHjvkcl5YDBuZIecFMJ/zYj+o0WS+zExytW7kbCMKy/vy7l1yy50X9TgKG9lP32UtbCTNd7GfrVOiBHD2rHfaJoXuS1qA0mBBkAc6ptBV2B8+FNtqppwXNURERGDFihUOny9btiwEu4qh48aNw7hx4zzVpPyF9IqRXoWz6Lxw8eI+SsRLUBD5/dPTiftiRNjIfmBi8bem+5K6Q1y8qEfqvEhnGjkSL8nJ3s8xcua8eDPh1RX2gp8158V+nShpfpPB4w1f28isSA8q2nmwKF7McDUOsC1e5FaWthcvFott6MjInBcKi/vSPkzEunhhOWwkCEQsOwobhYWJa/fQNbe8LV6k5wx124xaj04O1sWL1M1PS7NN1vVmJWIZuHgxK9LiZbTz4GEj7bAsXqT5TRS5QY2Gju7c4eLFEfbihbWcF3vHgGXnBSDtdBQ2slhE9+Xy5byv9SRyzosZxAtrYSNfX3FVeql4YUBkcfFiZuzj92ZwXlhaZViKGcSLM+cF4M6LEuwHT9adFxbFi7RKbnKy47ARICbtUufFW+e/XM4LbSfL4oUBUWCDxWLb/zBSXRfg4sXcUKeF5bCRtNP19/fuYKqGGjXIbc2axrZDDqXiReq8GDnbiMLSgEsxS9goK4sIUBbDRoBt0q6jsBEgOi9GhY248+I+0hlHDDkvHkvYZZ3s7Gxk0g7erFSsSA5+Hx+gTBlSu8C+hLzR0LYBpNNgrX2UXr2A1q2BkiVz2+jn5wcfFgrWaXFeaEIqn21kC+thI+k+TE5m03kBiDhISiJtdBQ2AkTxQivIspDz4q1FDZXAuvMC2IoXRqrrAo+heBEEAXFxcUiiVwtmZsIEcoUWGAi88AIZLC5eNLpVefnuO5Lc5+PDZvukXLpk82/BggVRtGhRWIxMTtPivNBOkYeNbGHdefH3J3kGWVnsixfA1nlxJl7ozFLuvNhiBvEi7X8Yqa4LPIbihQqXqKgoBAcHGzsouUtWFsn2DwwkqrhwYbFSJEukpQHZ2SSsVa6c0a1RhCAISElJyV3mopiR+1WL80IdFy5ebGFdvABkP967R0QBrZ7NmnhRGzaiGFnnxQzihQFRkAceNjKe7OzsXOFSmF6lmhlfX9K5SUMELM448vEh4sXXl832OSDoUQd469YtREVFGRdC0uK80A6a57zYYibxQquuAuztS2mtFyVhI/vXeRo554XFhF3735UBUZAHubARAyLrsUrYpTkuwSx2WFqgU9iys23/Zw066LPaPifQY8XQ/CgldV4A9mYbsTbgAuznvAB5S8azmOgu57w4m21k/zpPY8acl6Ag7+aoKUXa/zDkvJhvNNEBU4eKpNiLF1a/F20nC8mvKmHiWFFb5yUx0fjZRkFBYoEyljCL8wKI4oVFESh1XlgMG5kx54UBQSCLtP9hKGH3sRQv+QZ7J4NVZ4O2i9X2sY7anBdpkTpvXsn5+IjT9VkccAH267wAYpuoeGExd4i2MTFRzMthKWxkn/OSlSWeM1y8qEMu54WHjThuYe8KsOASyGFi54UJtCTs0gHF2+EG2hmzOOAC3HnRC9rGmzfJrcUi/5uz4rxQxwBgK2zk7y/2iwwIAll42IijO2ZxXkyc88IE9uIlPV0MC8mJl+xsspIvwMWLPVLxYrGwl0sCmEO8UHFA67eEhcmf30aLl9RUMk2bhowKFGArnGmxiL83A4JAFh424rjL1atX0a9fPxQvXhz+/v4o06IF3p0yBXdozJlV54V2Fix1GmbCXrxQ1wWwHdiCgsRt4+LILRcvtkjFS3Awm+eMGcQLbSMVL47cjKAg29CIt8VLdjYR+izmu1Do/mHdeeFhI44WLly4gIYNG+Ls2bP48ccfce7cOcydNAnbDh5EszfeQOK9e+w6G1FRpPqv/VUYRxmOxItcUixN2jVavLA44AJ5xQuL0H1If0MWhSDdd9evk1tnoRjpee/tnBeAhI7MIF4YcDNkkYaNuPPCEIJAMuaN+KNVJxXw9ttvw9/fH5s3b0br1q1RunRpPPP009g6ezau37qFj779FrBYcPPmTXTq1AlBQUEoV64cVqxYgbJly2LatGme24euCAwkZfdZnAZoBuynSjtb74aGjnjYSB4ziZdHBRKZFIJ039GcF2dX4lLx4q2p0n5+Yriaixf3oOfMw4diDhEDzgv38VNSjOscHj5UdDInJiZi06ZN+Pzzz3MLpwEALBYUjYxErw4dsHLLFsyxWPD6668jISEBO3fuhJ+fH4YPH55bJZZjUhw5L3ICwb74orcFIx3UzCBeWKzxAtguzgiwKV5oG+msNtacF4uFfNaDB+S8cVaLxmjMEja6fVt8jIHzm4sXE3D27FkIgoBq1arZPvEoTFStXDncvX8fu/buxdatW3Hw4EE0bNgQALBgwQJUqlTJ203m6Il9nRclzguFOy+2+PiQfZKRwb7zQmFxX9rvOyXixcfHu2I6KIicK9x5cQ8qXmgOVmAgE4nuXLwEB4uLnxnx2SoQ7MNMdjkuF69cga+vL+rXr5/7WMWKFVGIxROWoxypeBEEdc4Lz3nJS1AQ2+LFvl0s7ks1a/JQ8eLtBGnpdGmWxUuJEuS2VClj2+EI2v9Q8cKIQ8TFi3SqGqNUrFgRFosFsbGx6Natm/jEI/ESe/EiCoWFoSCLlijHfaThjbQ0tp2XFi2AFSuAZs28+7lqCAoiiYesihczLLOgxnmhSwR4e3+bRbxMmgS0awc8/7zRLZHH3nlhxCHiCbsmoHDhwmjbti3mzJmDVGmhMqsVcQkJWL5xI3q0bYsqlSsjKysLR44cyd3k3LlzuEtPXI45kYqX1FS2nZf+/Un7OnXy7ueqge5P1nNeKPklbGSUeElNZXNdI0rRokDPnkyEYmSh4uXOHXLLiPPCxYtJmDVrFtLT09G+fXv89ddfuHr1KjZu3462Q4agRFQUPh80CFWrVUNMTAwGDBiAAwcO4MiRIxgwYACCgoLYWKOHow1fX3FKtCvxYrTzArC/cjgVLdx50Y6WsJG3HW7pEgEsrihtFuxFPndeOGqoVKkS/vnnH5QvXx7du3dHhQoVMGDYMDzZsCH2fv89IsLDAYsFS5YsQXR0NFq1aoVu3bqhf//+CA0NRSDrAwrHOdLp0qyLF9bh4sV91DgvTZqQ559+2pMtyotZwkasYz92MCJeeM6LiShTpgwWLVokPvDwIXDqlPi/1YpixYrhzz//zH3o2rVruHXrFipWrOi9hnL0JyiI/N5qw0a8tk5euHhxH/s2OhMvJUuSabberrDNxYs+2IsXRsJGXLyYGfuKuhYLtm/fjocPH6JWrVq4efMmRo0ahbJly6JVq1bGtJGjD9JaL9x5cQ+e8+I+9sLP1YBmxNIgZsl5YR1Gw0ZcvJgZmYUZMzMz8eGHH+LChQsIDQ1F8+bNsXz5cvjxK3BzI50uzXLCrhmggxp3XrSjJmxkFNLKsDznRTvceeHojn0SrsWC9u3bo3379sa0h+M5uPOiH1y8uI/91TiL4oX+vvHx4lIsXLyoh+e8cHRH6rywuigjRx+Uihd/fzLY0cKLXLzk5bXXgIsXgWefNbol8tiLKhbDRlYrOSZp6QZGrsZtoPuRrnwdGMj+TDgW4WEjju5w8fL4oFS8AMR94eLFMc88Q/5YxV68sFpEMySEHI/BwWwmhqtZ+ZrjGEbDRnzEMzNSwcLruORvlE6VBmzzXlgcVDjOoa4GQH53I5JdlUDFAauigO5DKl54yEgbjIaNuHgxMxaLKFq4eMnfqHVeKFy8mBPWF7gE2BcvtH1xceSWixdt2IeNuPPC0QXqvvCwUf5GWi2UhoRcOS++vvy4MCtmWOCStpGRwSwPVLxkZ5NbLl60ERBg+z93Xji6QAcnBc7Lzp07YbFYkPRo2uCiRYtsFnMcN24c6tatq38bOe5DxUtiIpCTQ+67cl54vot5MYN4Yd15McOMKDMgXZ4E4OKFo44+ffrAYrHAYrHAz88P5cqVw6hRo5CWkUE20OEKe+TIkdi2bZvb78PxALQjvnWL3DpbDZ2LF/PDxYv72Cc+c+dFO1IhyIjTxmgmGEeODh06YOHChcjMzMShQ4fQu3dvWBISMHnwYF1yXgoUKIACLHeWjzO087h9m9wWKOD4N6dhIy5ezIsZcl7MEjaicPGincBA17l2XoY7LyYiICAARYsWRalSpdC1a1fExMRgy7595EmrFenp6XjnnXcQFRWFwMBAtGjRAgcPHlT8/vZhoz59+qBr166YMmUKihUrhsKFC+Ptt99GZmZm7jY3b95Ep06dEBQUhHLlymHFihUoW7Yspk2b5vBz6PtOnDgR0dHRKFiwID799FNkZWXhvffeQ0REBEqWLImFCxfavO7q1avo3r07ChYsiIiICDz33HO4dOlS7vMHDx5E27ZtERkZifDwcLRu3RqHDx+2eQ+LxYIFCxagW7duCA4ORqVKlfDHH38o3keGYe+8OOtAqPPCk3XNCx14Wb6Y4M7L4wOdcVSgAODjY2xbHvHYixdBAJKTjfmjRR+1cOLECezZswf+dICyWDBq1Cj89ttvWLx4MQ4fPoyKFSuiffv2SExM1Pw5O3bswPnz57Fjxw4sXrwYixYtslkc8vXXX8eNGzewc+dO/Pbbb5g3bx5u0QHWCdu3b8eNGzfw119/YerUqRg7diw6d+6MQoUKYf/+/Rg4cCDeeustXLt2DQCQmZmJ9u3bIzQ0FLv+v707D4riTP8A/p0DhmsGRAaRksOTSyWLrgYPPCAM6loeRF2DikpB6XrkWo0QNhpd18S1YtgYrV0l4oG7ibrGJKVjULFUREAXFIGwIHgCshxyCszA+/uDHx1BQYHpuXg+VVM43e90v+9jD/3w9tv9XrmCpKQkWFlZISgoCE3/f+mspqYGoaGhuHr1Kq5fv47hw4dj5syZqGn7i+H/ffrpp1i4cCFu376NmTNnIiQkpFcx0oruJC/U82L4DOGykZtb608PD93WozM05kVz2pIXPRnvAgBgRqaqqooBYFVVVS+se/bsGcvOzmbPnj3jltXWMtaaRmj/VVv7+u0KDQ1lIpGIWVpaMolEwgAwoVDITsTEMJaWxmpv32YmJiYsPj6e+0xTUxNzdHRkO3fuZIwxlpiYyACwyspKxhhjBw8eZNbW1lz5zZs3M29v73b7dHFxYWq1mlu2YMECtmjRIsYYYzk5OQwAS0tL49bn5eUxAGz37t1dtsXFxYU1Nzdzy9zc3NjkyZO592q1mllaWrJ//vOfjDHGjhw5wtzc3FhLSwtXprGxkZmbm7Nz5869dD/Nzc1MKpWyH3/8kVsGgEVHR3Pva2trGQB29uzZl27jZceMTsTEtB40lpatP8eO7bzsnTutZXx9tVc/olnLl7f+H65Zo+uadE6tZiwzk7HnvpN6JTe3/S/cU6d0XSPDNXp0awzd3XndTVfn745ozIsBmTZtGvbt24e6ujrs3r0bYrEYwTNmAFVVuPvwIVQqFSZOnMiVNzExwbhx45CTk9PjfXp5eUH0XDfhwIEDkZmZCQDIzc2FWCyGj48Pt37YsGHo9xrds15eXhA+N8h4wIABGDlyJPdeJBKhf//+XC/OrVu3kJ+fD2mHHoeGhgbcvXsXAPDkyRNER0fj0qVLKC0tRXNzM+rr6/HgwYN2nxk9ejT3b0tLS8hkstfqLdKptr8i6+paf3bV8+LlBZw7B4wYwX+9CD/a/sLVp790OxKJgOe+s3qHLhtpTlvPix6Nb+rzyYuFxa+PzdDFvrvD0tISw4YNAwB888038Pb2RuyJEwh76y3eHlLXcTZqgUCAlrZbdTW83a72VVtbizFjxiA+Pv6FbcnlcgBAaGgoysvLERMTAxcXF0gkEvj6+nKXlfhuE686doG/atBcYCB/dSH8W7mydU6eZct0XRPDRcmL5ujhZaM+n7x0dcepPhMKhYiKisIH776LdyZPxlBXV5iamiIpKQkuLi4AWseJpKWl4b333uOlDm5ublCr1UhPT8eYMWMAAPn5+aisrNT4vnx8fPDtt9/C3t4esk6+QElJSdi7dy9mzpwJoHWAb1lZmcbrohPdTV6IYfP2Bo4f13UtDFvH7wwlLz3XFks96nnp8wN2DdmCBQsgEonw9fHjsLSywurVq7FhwwYolUpkZ2cjPDwc9fX1CAsL42X/7u7uCAgIQEREBFJTU5Geno6IiAiYm5tDoOGeoJCQENjZ2WHOnDm4cuUKCgsLcenSJaxfv54b1Dt8+HAcOXIEOTk5SElJQUhICMw7/gIzVJS8ENI9HefkoQG7PaeHPS+UvBgwsViMtcuXY+eRI6hrasJnn32G4OBgLF26FD4+PsjPz8e5c+deawxKTx0+fBgDBgyAn58f5s2bh/DwcEilUphpeOp5CwsLXL58Gc7Ozpg/fz48PDwQFhaGhoYGricmNjYWlZWV8PHxwdKlS7nbxo0CJS+EdI9A8OulI5FIv+/c0nd6mLwIGOvNDbv6p7q6GtbW1qiqqnrh8kJDQwMKCwsxePBgjZ9cdUalAiorW5/toQezzz569AhOTk44f/48/P39dV2dXtObY+b6dcDX99f3W7cCf/qT7upDiCGQy4GyMsDO7tcHPJLuW7ECiIsDPvkE+PRT3nbT1fm7I92f7UjvmJgAOuxduHjxImprazFq1CgUFxdj48aNcHV1hZ+fn87qZJQ6Jk7U80LIq7X1WNJ4l96ZP7/1D6jZs3VdEw4lL6RXVCoVoqKiUFBQAKlUigkTJiA+Pv6FO3pIL9FlI0K6T9+fAmwoZs/Wq8QFoOSF9JJCoYBCodB1NYwfJS+EdF9b8kI9L0aHBuwSYggoeSGk+yh5MVqUvBBiCCh5IaT7aMyL0aLkhRBDQMkLId1HY16MFiUvhBgCkaj1zrI2lLwQ8mptz3Zpm2mdGA1ek5eKigqEhIRAJpPBxsYGYWFhqO1iIqGKigqsW7cObm5uMDc3h7OzM9avX4+qqio+q0mIYXj+dmlKXgh5tdWrW2/zXbhQ1zUhGsbr3UYhISEoLi5GQkICVCoVVqxYgYiICBw7duyl5YuKilBUVIRdu3bB09MT9+/fx6pVq1BUVIQTJ07wWVVC9J+5OVBT0/pvSl4IebVJk1pfxOjw1vOSk5MDpVKJAwcOYPz48Zg0aRK++uor/Otf/0JRUdFLPzNy5EicPHkSs2fPxtChQzF9+nRs374dP/74I9RqNV9V7TMuXboEgUCAp0+fAgDi4uJg89y14C1btuCNN97QSd16qmMbjFrbuBexGJBIdFsXQgjRId6Sl+TkZNjY2GDs2LHcsoCAAAiFQqSkpLz2dtoeEyzu5NH3jY2NqK6ubvcyRsuXL4dAIIBAIICJiQkGDx6MjRs3oqGhQWP7+OMf/4gLFy5obHudqa+vR2RkJIYOHQozMzPI5XJMmTIFp0+f5sq4urriyy+/5L0uBqUteZFKW+dtIYSQPoq3y0YlJSUvTIonFotha2uLkpKS19pGWVkZtm3bhoiIiE7L7NixA5/yONeCPgkKCsLBgwehUqlw8+ZNhIaGQiAQ4PPPP9fI9q2srGClhcnLVq1ahZSUFHz11Vfw9PREeXk5rl27hvLyct73bdCeT14IIaQP63bPy6ZNm7gegM5ev/zyS68rVl1djVmzZsHT0xNbtmzptFxkZCSqqqq418OHD3u9b30lkUjg4OAAJycnzJ07FwEBAUhISODWNzY2cjMpm5mZYdKkSUhLS3vt7Xe8bLR8+XLMnTsXu3btwsCBA9G/f3+sWbMGKpWKK1NcXIxZs2bB3NwcgwcPxrFjx17Za/LDDz8gKioKM2fOhKurK8aMGYN169Zh5cqVAICpU6fi/v37eP/997ljqk1cXBycnZ1hYWGBefPm9a2Eh5IXQggB0IOelw8//BDLly/vssyQIUPg4OCA0tLSdsvVajUqKirg4ODQ5edramoQFBQEqVSKU6dOdTlPjkQigaQX1/8ZY6ivr+/x53vDwsKi3Ym5O+7cuYNr167BxcWFW7Zx40acPHkShw4dgouLC3bu3AmFQoH8/HzY2tr2aD+JiYkYOHAgEhMTkZ+fj0WLFuGNN95AeHg4AGDZsmUoKyvDpUuXYGJigg8++OCF//eOHBwccObMGcyfPx/Sl5yI//3vf8Pb2xsRERHcfgAgJSUFYWFh2LFjB+bOnQulUonNmzf3qF0GiZIXQggB0IPkRS6XQy6Xv7Kcr68vnj59ips3b2LMmDEAWmcgbmlpwfjx4zv9XHV1NRQKBSQSCX744QeYdZxNV8Pq6+u1cqnkZWpra2Fpafna5X/66SdYWVlBrVajsbERQqEQe/bsAQDU1dVh3759iIuLw4wZMwAA+/fvR0JCAmJjY7Fhw4Ye1bFfv37Ys2cPRCIR3N3dMWvWLFy4cAHh4eH45ZdfcP78eaSlpXFjmw4cOIDhw4d3uc1//OMfCAkJQf/+/eHt7Y1Jkybh7bffxsSJEwEAtra2EIlEkEql7RLdmJgYBAUFYePGjQCAESNG4Nq1a1AqlT1qm8Fp+y5Q8kII6eN4G7Dr4eGBoKAghIeHIzU1FUlJSVi7di1+//vfw9HREQDw+PFjuLu7IzU1FUBr4hIYGIi6ujrExsaiuroaJSUlKCkpQXNzM19VNRjTpk1DRkYGUlJSEBoaihUrViA4OBgAcPfuXahUKi4BAAATExOMGzcOOTk5Pd6nl5cXRCIR937gwIFcz0pubi7EYjF8fHy49cOGDUO/VzyK28/PDwUFBbhw4QLefvttZGVlYfLkydi2bVuXn8vJyXkh8fX19e1ukwwX9bwQQggAnp/zEh8fj7Vr18Lf3x9CoRDBwcH429/+xq1XqVTIzc3lLtv85z//4e5EGjZsWLttFRYWwtXVVeN1tLCw6PLBeXyyaHt09WuytLTk4vLNN9/A29sbsbGxCAsL46N6APDCJTuBQICWlhaNbHfy5MmYPHkyPvroI/z5z3/G1q1b8dFHH8HU1LTX2zdKlLwQQggAnpMXW1vbTh9IB7TeDssY495PnTq13XttEAgE3bp0oy+EQiGioqLwwQcf4J133sHQoUNhamqKpKQkbhyMSqVCWloa3nvvPV7q4ObmBrVajfT0dO7SYH5+PiorK7u9LU9PT6jVajQ0NMDU1BSmpqYv9LZ5eHi8cJv99evXe94AQ0PJCyGEAKC5jQzaggULIBKJ8PXXX8PS0hKrV6/Ghg0boFQqkZ2djfDwcNTX1/PWM+Pu7o6AgABEREQgNTUV6enpiIiIgLm5eZcDkadOnYq///3vuHnzJu7du4czZ84gKioK06ZNg0wmA9Ca2F6+fBmPHz9GWVkZAGD9+vVQKpXYtWsX8vLysGfPnr4z3gUA2h498IoB74QQYuwoeTFgYrEYa9euxc6dO1FXV4fPPvsMwcHBWLp0KXx8fJCfn49z5869cgxKbxw+fBgDBgyAn58f5s2bh/DwcEil0i4HWisUChw6dAiBgYHw8PDAunXroFAo8N1333Fltm7dinv37mHo0KHcAPE333wT+/fvR0xMDLy9vfHzzz8jOjqat7bpnXffBfbsaZ2vhRBC+jAB0/Z1Gp5VV1fD2tqaezLv8xoaGlBYWIjBgwfzfhdTX/Xo0SM4OTnh/Pnz8Pf313V1eo2OGUII0Y6uzt8d8TrmhRi/ixcvora2FqNGjUJxcTE2btwIV1dX+Pn56bpqhBBCjBQlL6RXVCoVoqKiUFBQAKlUigkTJiA+Pr7LBwsSQgghvUHJC+kVhUIBhUKh62oQQgjpQ2jALiGEEEIMCiUvhBBCCDEofTJ50cQTYknfQMcKIYTonz415sXU1BRCoRBFRUWQy+UwNTXt8azOxLgxxtDU1IT//e9/EAqFNGUBIYTokT6VvAiFQgwePBjFxcUoKirSdXWIAbCwsICzszOEwj7ZSUkIIXqpTyUvQGvvi7OzM9RqNc1UTbokEokgFoupd44QQvRMn0tegNbJGE1MTOhZJIQQQogBor5wQgghhBgUSl4IIYQQYlAoeSGEEEKIQTG6MS9tk2RXV1fruCaEEEIIeV1t5+2283hXjC55qampAQA4OTnpuCaEEEII6a6amhpYW1t3WUbAXifFMSAtLS0oKiqCVCrl9RbX6upqODk54eHDh5DJZLztx9hRHDWD4qgZFEfNoDhqRl+LI2MMNTU1cHR0fOWztYyu50UoFGLQoEFa259MJusTBxXfKI6aQXHUDIqjZlAcNaMvxfFVPS5taMAuIYQQQgwKJS+EEEIIMSiUvPSQRCLB5s2bIZFIdF0Vg0Zx1AyKo2ZQHDWD4qgZFMfOGd2AXUIIIYQYN+p5IYQQQohBoeSFEEIIIQaFkhdCCCGEGBRKXgghhBBiUCh5IYQQQohB6dPJy+XLlzF79mw4OjpCIBDg+++/b7f+yZMnWL58ORwdHWFhYYGgoCDk5eW1KzN16lQIBIJ2r1WrVrUr8+DBA8yaNQsWFhawt7fHhg0boFar+W6e1mgjjrdu3cLixYvh5OQEc3NzeHh4ICYmRhvN0xptHY9tysvLMWjQIAgEAjx9+pSnVmmfNuMYFxeH0aNHw8zMDPb29lizZg2fTdMqbcUxLS0N/v7+sLGxQb9+/aBQKHDr1i2+m6c1mogjACQnJ2P69OmwtLSETCaDn58fnj17xq2vqKhASEgIZDIZbGxsEBYWhtraWr6bpzN9Onmpq6uDt7c3vv766xfWMcYwd+5cFBQU4PTp00hPT4eLiwsCAgJQV1fXrmx4eDiKi4u5186dO7l1zc3NmDVrFpqamnDt2jUcOnQIcXFx+OSTT3hvn7ZoI443b96Evb09jh49iqysLHz88ceIjIzEnj17eG+ftmgjjs8LCwvD6NGjeWmLLmkrjl988QU+/vhjbNq0CVlZWTh//jwUCgWvbdMmbcSxtrYWQUFBcHZ2RkpKCq5evQqpVAqFQgGVSsV7G7VBE3FMTk5GUFAQAgMDkZqairS0NKxdu7bd/D8hISHIyspCQkICfvrpJ1y+fBkRERFaaaNOMMIYYwwAO3XqFPc+NzeXAWB37tzhljU3NzO5XM7279/PLZsyZQp79913O93umTNnmFAoZCUlJdyyffv2MZlMxhobGzXaBn3AVxxf5g9/+AObNm1ab6usl/iO4969e9mUKVPYhQsXGABWWVmpwdrrD77iWFFRwczNzdn58+f5qLbe4SuOaWlpDAB78OABt+z27dsMAMvLy9NoG/RBT+M4fvx4Fh0d3el2s7OzGQCWlpbGLTt79iwTCATs8ePHmm2EnujTPS9daWxsBACYmZlxy4RCISQSCa5evdqubHx8POzs7DBy5EhERkaivr6eW5ecnIxRo0ZhwIAB3DKFQoHq6mpkZWXx3Ard01QcX6aqqgq2traar7Qe0mQcs7OzsXXrVhw+fPiVM7caG03FMSEhAS0tLXj8+DE8PDwwaNAgLFy4EA8fPtROQ3RMU3F0c3ND//79ERsbi6amJjx79gyxsbHw8PCAq6urVtqiS68Tx9LSUqSkpMDe3h4TJkzAgAEDMGXKlHZxTk5Oho2NDcaOHcstCwgIgFAoREpKipZao1196zdXN7i7u8PZ2RmRkZGorKxEU1MTPv/8czx69AjFxcVcuXfeeQdHjx5FYmIiIiMjceTIESxZsoRbX1JS0i5xAcC9Lykp0U5jdEhTcezo2rVr+Pbbb427W/Q5mopjY2MjFi9ejL/+9a9wdnbWRVN0SlNxLCgoQEtLC/7yl7/gyy+/xIkTJ1BRUYG33noLTU1NumiaVmkqjlKpFJcuXcLRo0dhbm4OKysrKJVKnD17FmKxWBdN06rXiWNBQQEAYMuWLQgPD4dSqYSPjw/8/f25sTElJSWwt7dvt22xWAxbW1vjPc/ouutHX6BDdx5jjN24cYN5e3szAEwkEjGFQsFmzJjBgoKCOt1OWzd8fn4+Y4yx8PBwFhgY2K5MXV0dA8DOnDmj8XboGl9xfF5mZiazs7Nj27Zt03T19QZfcXz//ffZokWLuPWJiYl96rIRY5qJ4/bt2xkAdu7cOa5MaWkpEwqFTKlU8tIWXeIrjvX19WzcuHFs2bJlLDU1lSUnJ7Pg4GDm5eXF6uvr+WySTvQkjklJSQwAi4yMbPe5UaNGsU2bNjHGWo/HESNGvLA/uVzO9u7dy09jdIx6XrowZswYZGRk4OnTpyguLoZSqUR5eTmGDBnS6WfGjx8PAMjPzwcAODg44MmTJ+3KtL13cHDgqeb6RRNxbJOdnQ1/f39EREQgOjqa13rrG03E8eLFizh+/DjEYjHEYjH8/f0BAHZ2dti8eTP/jdADmojjwIEDAQCenp5cGblcDjs7Ozx48IDH2usPTcTx2LFjuHfvHg4ePIjf/va3ePPNN3Hs2DEUFhbi9OnTWmmHrr0qji871gDAw8ODO9YcHBxQWlrabr1arUZFRYXRnmcoeXkN1tbWkMvlyMvLw40bNzBnzpxOy2ZkZAD49YDz9fVFZmZmuwMrISEBMpnshYPR2PUmjgCQlZWFadOmITQ0FNu3b+e7unqrN3E8efIkbt26hYyMDGRkZODAgQMAgCtXrhjVbb6vozdxnDhxIgAgNzeXK1NRUYGysjK4uLjwV2k91Js41tfXQygUQiAQcGXa3re0tPBab33TWRxdXV3h6OjY7lgDgP/+97/csebr64unT5/i5s2b3PqLFy+ipaWFSxiNjq67fnSppqaGpaens/T0dAaAffHFFyw9PZ3dv3+fMcbYd999xxITE9ndu3fZ999/z1xcXNj8+fO5z+fn57OtW7eyGzdusMLCQnb69Gk2ZMgQ5ufnx5VRq9Vs5MiRLDAwkGVkZDClUsnkcvkLXYCGTBtxzMzMZHK5nC1ZsoQVFxdzr9LSUq23ly/aiGNHxnjZSFtxnDNnDvPy8mJJSUksMzOT/e53v2Oenp6sqalJq+3lizbimJOTwyQSCVu9ejXLzs5md+7cYUuWLGHW1tasqKhI623mQ2/jyBhju3fvZjKZjB0/fpzl5eWx6OhoZmZm1u6yelBQEPvNb37DUlJS2NWrV9nw4cPZ4sWLtdpWberTyUvbL+6Or9DQUMYYYzExMWzQoEHMxMSEOTs7s+jo6Ha3Nz948ID5+fkxW1tbJpFI2LBhw9iGDRtYVVVVu/3cu3ePzZgxg5mbmzM7Ozv24YcfMpVKpc2m8kobcdy8efNL9+Hi4qLl1vJHW8fjy/ZpTMmLtuJYVVXFVq5cyWxsbJitrS2bN29eu1t+DZ224vjzzz+ziRMnMmtra9avXz82ffp0lpycrM2m8qq3cWyzY8cONmjQIGZhYcF8fX3ZlStX2q0vLy9nixcvZlZWVkwmk7EVK1awmpoabTRRJwSMMcZTpw4hhBBCiMbRmBdCCCGEGBRKXgghhBBiUCh5IYQQQohBoeSFEEIIIQaFkhdCCCGEGBRKXgghhBBiUCh5IYQQQohBoeSFEEIIIQaFkhdCCCGEGBRKXgghhBBiUCh5IYQQQohB+T/J21vJkpzJzwAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(-3.1629079913008833, 0.022234630001242206, 13, 119, {'1%': -3.4865346059036564, '5%': -2.8861509858476264, '10%': -2.579896092790057}, -436.63269481747034)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "IndexData_logScale_ps = IndexData_logScale.diff(periods=1)\n",
        "IndexData_logScale_ps.dropna(inplace=True)\n",
        "test_stationarity(IndexData_logScale_ps)"
      ],
      "metadata": {
        "id": "wUyONqKo_Gxb",
        "outputId": "eb42d6d7-5b2f-4135-a0af-550c428298fd",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 993
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            #Passengers\n",
            "Month                  \n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "1949-06-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     0.006728\n",
            "1960-09-01     0.007730\n",
            "1960-10-01     0.010382\n",
            "1960-11-01     0.006209\n",
            "1960-12-01     0.005378\n",
            "\n",
            "[143 rows x 1 columns]             #Passengers\n",
            "Month                  \n",
            "1949-02-01          NaN\n",
            "1949-03-01          NaN\n",
            "1949-04-01          NaN\n",
            "1949-05-01          NaN\n",
            "1949-06-01          NaN\n",
            "...                 ...\n",
            "1960-08-01     0.111374\n",
            "1960-09-01     0.109497\n",
            "1960-10-01     0.106223\n",
            "1960-11-01     0.112489\n",
            "1960-12-01     0.111669\n",
            "\n",
            "[143 rows x 1 columns]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(-2.717130598388114, 0.07112054815086184, 14, 128, {'1%': -3.4825006939887997, '5%': -2.884397984161377, '10%': -2.578960197753906}, -440.35846985568105)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.stattools import acf\n",
        "from statsmodels.tsa.stattools import pacf\n",
        "\n",
        "from statsmodels.graphics.tsaplots import plot_acf\n",
        "from statsmodels.graphics.tsaplots import plot_pacf\n",
        "\n",
        "lag_acf = acf(dataset_Log_minus_moving_avg)\n",
        "lag_pacf = pacf(dataset_Log_minus_moving_avg)\n",
        "\n",
        "plot_acf(lag_acf)\n",
        "plot_pacf(lag_pacf)\n"
      ],
      "metadata": {
        "id": "YdJsoG19_1t2",
        "outputId": "684b9ee5-a0f4-4976-f045-b5b3ae32938e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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uvvpq5eTkaOrUqbrzzjv13nvv2eusXbtWKSkpmjNnjnbs2KG+ffsqKSnpjK9wBwAA5nbOZm9ZLBatX79eI0eOrLPO9OnT9c477zi8NXX06NEqKipSenq6pF++v+cPf/iDnnvuOUm/vOU1IiJC99xzj2bMmOHUYwAAAC2XW72cMCsrS4mJiQ5lSUlJmjp1qiSpoqJC27dv18yZM+3rPTw8lJiYWOPNpL9VXl7u8MWNp7+lODAwsFGvbQcAAK5jGIZ+/vlnhYeHN+lloW4VevLz8xUSEuJQFhISIpvNphMnTuinn35SVVVVrXVOfzdObVJTU/XYY485pc8AAODcOnDggC688MJGb+dWocdZZs6cqZSUFPvn4uJiderUSQcOHJCfn99Zt//fGf/Ris/2qqq65pNCTw+Lxg2I1P1/vPis9wMAgJnZbDZFRESoXbt2TdrerUJPaGioCgoKHMoKCgrk5+cnX19feXp6ytPTs9Y6oaGhdbZrtVodvrH6ND8/v2YJPckJPbXyiwJ51DI6ymKRxib0lJ9fm7PeDwAAUJOHprjVe3ri4+OVmZnpUJaRkaH4+HhJkre3t2JiYhzqVFdXKzMz017HFbp0bKP5N/WRx29+Bp4Wizws0vyb+iiyI4EHAABXc+qdnpKSEu3evdv+OS8vTzk5OerQoYM6deqkmTNn6uDBg3rppZckSX/961/13HPP6aGHHtIdd9yhTZs26dVXX9U777xjbyMlJUVjx45V//79FRsbq4ULF6q0tFTjx4935qGc0aj+Eep1gZ+G/fMTSdL4KyJ1e1xnAg8AAG7CqaHniy++0NVXX23/fHpczdixY7VixQodPnxY+/fvt6/v0qWL3nnnHd1///365z//qQsvvFD/+te/lJSUZK9z66236siRI5o9e7by8/PVr18/paen1xjc7AqdA38NOCl/vFitvd3q6SEAAKZmym9Zt9ls8vf3V3FxcbOM6TmtrOKUomf/8iLF7+YmEXoAAGhGZ3v9dqsxPQAAAM5C6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZwTkLP4sWLFRkZKR8fH8XFxSk7O7vOuoMGDZLFYqmxjBgxwl5n3LhxNdYPHTr0XBwKAABoobycvYO1a9cqJSVFaWlpiouL08KFC5WUlKTc3FwFBwfXqP/GG2+ooqLC/vnYsWPq27evRo0a5VBv6NChWr58uf2z1Wp13kEAAIAWz+l3ehYsWKCJEydq/Pjxio6OVlpamlq3bq1ly5bVWr9Dhw4KDQ21LxkZGWrdunWN0GO1Wh3qtW/f3tmHAgAAWjCnhp6Kigpt375diYmJv+7Qw0OJiYnKyspqUBsvvviiRo8erTZt2jiUb9myRcHBwerevbvuvvtuHTt2rM42ysvLZbPZHBYAAGAuTg09R48eVVVVlUJCQhzKQ0JClJ+ff8bts7Oz9c033+jOO+90KB86dKheeuklZWZmav78+frwww81bNgwVVVV1dpOamqq/P397UtERETTDwoAALRITh/TczZefPFF9e7dW7GxsQ7lo0ePtv++d+/e6tOnj7p27aotW7Zo8ODBNdqZOXOmUlJS7J9tNhvBBwAAk3HqnZ6OHTvK09NTBQUFDuUFBQUKDQ2td9vS0lKtWbNGEyZMOON+oqKi1LFjR+3evbvW9VarVX5+fg4LAAAwF6eGHm9vb8XExCgzM9NeVl1drczMTMXHx9e77bp161ReXq7bb7/9jPv58ccfdezYMYWFhZ11nwEAwPnJ6bO3UlJS9MILL2jlypXauXOn7r77bpWWlmr8+PGSpOTkZM2cObPGdi+++KJGjhypwMBAh/KSkhI9+OCD+vzzz7V3715lZmbqhhtuULdu3ZSUlOTswwEAAC2U08f03HrrrTpy5Ihmz56t/Px89evXT+np6fbBzfv375eHh2P2ys3N1SeffKL333+/Rnuenp766quvtHLlShUVFSk8PFxDhgzRvHnzeFcPAACok8UwDMPVnTjXbDab/P39VVxc3Kzje8oqTil69nuSpO/mJqm1t1uPEwcAoEU52+s3370FAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABM4ZyEnsWLFysyMlI+Pj6Ki4tTdnZ2nXVXrFghi8XisPj4+DjUMQxDs2fPVlhYmHx9fZWYmKhdu3Y5+zAAAEAL5vTQs3btWqWkpGjOnDnasWOH+vbtq6SkJBUWFta5jZ+fnw4fPmxf9u3b57D+qaee0qJFi5SWlqatW7eqTZs2SkpK0smTJ519OAAAoIVyeuhZsGCBJk6cqPHjxys6OlppaWlq3bq1li1bVuc2FotFoaGh9iUkJMS+zjAMLVy4UI888ohuuOEG9enTRy+99JIOHTqkN99809mHAwAAWiinhp6Kigpt375diYmJv+7Qw0OJiYnKysqqc7uSkhJ17txZERERuuGGG/Ttt9/a1+Xl5Sk/P9+hTX9/f8XFxdXZZnl5uWw2m8MCAADMxamh5+jRo6qqqnK4UyNJISEhys/Pr3Wb7t27a9myZXrrrbf08ssvq7q6WgMGDNCPP/4oSfbtGtNmamqq/P397UtERMTZHhoAAGhh3G72Vnx8vJKTk9WvXz8lJCTojTfeUFBQkJ5//vkmtzlz5kwVFxfblwMHDjRjjwEAQEvg1NDTsWNHeXp6qqCgwKG8oKBAoaGhDWqjVatWuvTSS7V7925Jsm/XmDatVqv8/PwcFgAAYC5ODT3e3t6KiYlRZmamvay6ulqZmZmKj49vUBtVVVX6+uuvFRYWJknq0qWLQkNDHdq02WzaunVrg9sEAADm4+XsHaSkpGjs2LHq37+/YmNjtXDhQpWWlmr8+PGSpOTkZF1wwQVKTU2VJM2dO1eXX365unXrpqKiIj399NPat2+f7rzzTkm/zOyaOnWqHn/8cV100UXq0qWLZs2apfDwcI0cOdLZhwMAAFoop4eeW2+9VUeOHNHs2bOVn5+vfv36KT093T4Qef/+/fLw+PWG008//aSJEycqPz9f7du3V0xMjD777DNFR0fb6zz00EMqLS3VpEmTVFRUpCuuuELp6ek1XmIIAABwmsUwDMPVnTjXbDab/P39VVxc3Kzje8oqTil69nuSpO/mJqm1t9MzJQAApnG212+3m70FAADgDIQeAABgCoQeAABgCoQeAABgCoQeAABgCoQeAABgCoQeAABgCoQeAABgCrw9z81l/XDM1V0AAKDR4rsGuroLNXCnBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmMI5CT2LFy9WZGSkfHx8FBcXp+zs7DrrvvDCC7ryyivVvn17tW/fXomJiTXqjxs3ThaLxWEZOnSosw8DAAC0YE4PPWvXrlVKSormzJmjHTt2qG/fvkpKSlJhYWGt9bds2aLbbrtNmzdvVlZWliIiIjRkyBAdPHjQod7QoUN1+PBh+/LKK684+1AAAEAL5uXsHSxYsEATJ07U+PHjJUlpaWl65513tGzZMs2YMaNG/VWrVjl8/te//qXXX39dmZmZSk5OtpdbrVaFhoY6t/MAAJznDhef0JbcIzpSUq6gtlYN6h6kMH9fV3fLKZwaeioqKrR9+3bNnDnTXubh4aHExERlZWU1qI2ysjJVVlaqQ4cODuVbtmxRcHCw2rdvr2uuuUaPP/64AgMDa22jvLxc5eXl9s82m60JRwMAwPllS26hln68RxZJhiSLpA1fHdJdV0Up4eJgF/eu+Tn18dbRo0dVVVWlkJAQh/KQkBDl5+c3qI3p06crPDxciYmJ9rKhQ4fqpZdeUmZmpubPn68PP/xQw4YNU1VVVa1tpKamyt/f375EREQ0/aBaqMPFJ/RK9n4t2rRLr2Tv1+HiE67uEgDAhQ4Xn9DSj/fIMKRqQw6/Pv/RHuUXn3R1F5ud0x9vnY2///3vWrNmjbZs2SIfHx97+ejRo+2/7927t/r06aOuXbtqy5YtGjx4cI12Zs6cqZSUFPtnm81mquBjtiQPADizLblH7NeF37NI2pxbqNtiO53jXjmXU+/0dOzYUZ6eniooKHAoLygoOON4nGeeeUZ///vf9f7776tPnz711o2KilLHjh21e/fuWtdbrVb5+fk5LGZhxiQPADizIyXltQYe6ZcgdKSkvI61LZdTQ4+3t7diYmKUmZlpL6uurlZmZqbi4+Pr3O6pp57SvHnzlJ6erv79+59xPz/++KOOHTumsLCwZun3+eR0kq/N6SQPADCfoLbWeq8PQW2t57I754TTp6ynpKTohRde0MqVK7Vz507dfffdKi0ttc/mSk5OdhjoPH/+fM2aNUvLli1TZGSk8vPzlZ+fr5KSEklSSUmJHnzwQX3++efau3evMjMzdcMNN6hbt25KSkpy9uG0OGZM8gCAMxvUPaje68PV3c+/4Q9OH9Nz66236siRI5o9e7by8/PVr18/paen2wc379+/Xx4ev2avJUuWqKKiQjfffLNDO3PmzNGjjz4qT09PffXVV1q5cqWKiooUHh6uIUOGaN68ebJaz79UerZOJ/m6ntmej0keAHBmYf6+uuuqKD3/0S9DICTJw/LL9eKuq6IU6u9T7/YtkcUwjLqC3nnLZrPJ399fxcXFzTq+p6zilKJnvydJ+m5uklp7n32mzPrh2Fltf7j4hKat+1K1/ZQtFmnBqH7n5R9sAEDD7DtWqhlvfC1JGt47VH/sGdos14X4rrW/RuZsnO31m+/eOs+dTvKW3zy49bD8EnjO1yQPAGi4EL9frwOjYiLO6+uCW09ZR/NIuDhYkYFt7El+aK/mS/IAALQUhB6T+H2S92nl6cLeAABw7vF4CwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmAKhBwAAmIKXqzsAuLPDxSe0JfeIjpSUK6itVYO6BynM39fV3QIANAGhB6jDltxCLf14jyySDEkWSRu+OqS7ropSwsXBLu4dAKCxCD1ALQ4Xn9DSj/fIMH4JPNKvvz7/0R51D/FTqL+Pq7oHoIXhrrF7IPQAtdiSe8R+h+f3LJI25xbqtthO57hXAFoi7hq7DwYyA7U4UlJea+CRfvlH60hJ+bnsDoAW6rd3jasNOfz6/Ed7lF980tVdNBVCD1CLoLZWWepYZ/n/6wHgTE7fNa7N6bvGOHfOSehZvHixIiMj5ePjo7i4OGVnZ9dbf926derRo4d8fHzUu3dvvfvuuw7rDcPQ7NmzFRYWJl9fXyUmJmrXrl3OPASYzKDuQfXe6bm6O7ekAZwZd43di9PH9Kxdu1YpKSlKS0tTXFycFi5cqKSkJOXm5io4uOaF47PPPtNtt92m1NRUXXvttVq9erVGjhypHTt2qFevXpKkp556SosWLdLKlSvVpUsXzZo1S0lJSfruu+/k49PwwaVlFafkVXGq2Y617DdtlTVTuycrq5qlnfLftFPeTG2ez9q39tYdA7po2ad59n+wPCy//CN1x4AuCmjdqtl+NgDOX+1bt6p3fGB7N/i3xFnXh+a6DjZnmxbDMOoKoc0iLi5Of/jDH/Tcc89JkqqrqxUREaF77rlHM2bMqFH/1ltvVWlpqTZu3Ggvu/zyy9WvXz+lpaXJMAyFh4dr2rRpeuCBByRJxcXFCgkJ0YoVKzR69OgabZaXl6u8/Nc0bbPZFBERoYipr8rD2rq5DxkAADhBdXmZDiy8RcXFxfLz82v09k59vFVRUaHt27crMTHx1x16eCgxMVFZWVm1bpOVleVQX5KSkpLs9fPy8pSfn+9Qx9/fX3FxcXW2mZqaKn9/f/sSERFxtocGAABaGKc+3jp69KiqqqoUEhLiUB4SEqLvv/++1m3y8/NrrZ+fn29ff7qsrjq/N3PmTKWkpNg/n77Tk/1fg5uUFM+lrXuOu7oLTldeWaW/rtohSUobc5msrTxd3KOWwd3Pmzv3j741jTv3TXLv/hXYTuqjXUd0rKRCgW29ddVFQQrxO7/f9RUX1aHZ27TZbApb2PTtTfGeHqvVKqu15myb1t5eau3t3qfAx43+0p4L1laepjvm5uDu582d+0ffmsad+ya5X/86B7bRXwLbuLob55Qzrq+nzrJNpz7e6tixozw9PVVQUOBQXlBQoNDQ0Fq3CQ0Nrbf+6V8b0yYAAIBTQ4+3t7diYmKUmZlpL6uurlZmZqbi4+Nr3SY+Pt6hviRlZGTY63fp0kWhoaEOdWw2m7Zu3VpnmwAAAE5/tpOSkqKxY8eqf//+io2N1cKFC1VaWqrx48dLkpKTk3XBBRcoNTVVknTfffcpISFB//jHPzRixAitWbNGX3zxhZYuXSpJslgsmjp1qh5//HFddNFF9inr4eHhGjlypLMPBwAAtFBODz233nqrjhw5otmzZys/P1/9+vVTenq6fSDy/v375eHx6w2nAQMGaPXq1XrkkUf08MMP66KLLtKbb75pf0ePJD300EMqLS3VpEmTVFRUpCuuuELp6emNekcPAAAwl3MyinfKlCmaMmVKreu2bNlSo2zUqFEaNWpUne1ZLBbNnTtXc+fOba4uAgCA8xzfvQUAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0AMAAEyB0APAdPJtJ+2/X7f9gA4Xn3BhbwCcK4QeoIXiwt00W3IL9fD6r+2f07/J17R1X+rD/xS6sFcAzgVCD9ACtYQLtzuGssPFJ7T04z0yjF/Lqg3JMKTnP9qj/OKTdW8MoMUj9AAtTEu4cLtrKNuSe0SWOtZZJG3OdZ/QCKD5EXqAFsbdL9zuHMqOlJTLqGOd8f/XAzh/EXqAFsbdL9zuHMqC2lrr7VtQW+u57A6Ac4zQA7Qw7n7hdudQNqh7UL19u7p78LnsDoBzjNADtDDufuF251AW5u+ru66KksUieVjk8OtdV0Up1N/HZX0D4Hxeru4AgMY5feF+/qM9suiXoHP6V3e4cA/qHqQNXx2qdZ07hLKEi4PVPcRPm3MLdaSkXEFtrbq6e7DLz1tL8PsZeYk9QxTm7+vCHgGNQ+gBWiB3vnC7eyiTpFB/H90W28nV3WhRtuQWaunHe+yf07/J17+/ydddV0Up4WIeC6JlIPQALZQ7X7jdOZSh8eqakSf9MiOve4gfP1u0CIQeAE7hzqEMjXN6Rl5tY8lOz8jjZ42WgIHMAIB6ufOMPKAxCD1wOXf8ugIAv3LnGXlAYxB64FLu+nUFAH7l7q9JABqK0AOXceevKwDwK95vhPMFA5nhMgyOBFoOZuThfEDogcswOBJoWZiRh5aOx1twGQZHAmhOTIrAmRB64DIMjgTQXJgUgYYg9MBlGBwJoDkwKQINxZgeuBSDIwGcLSZFoKEIPXA5BkcCOBtMikBD8XgLANwIg3Ebj0kRaChCDwC4CQbjNg2TItBQhB4AcAMMxm06JkWgoZwaeo4fP64xY8bIz89PAQEBmjBhgkpKSuqtf88996h79+7y9fVVp06ddO+996q4uNihnsViqbGsWbPGmYcCAE51ejBubU4PxkXdEi4O1oJR/XRtn3BdHhWoa/uEa8Gofkq4mLs8+JVTBzKPGTNGhw8fVkZGhiorKzV+/HhNmjRJq1evrrX+oUOHdOjQIT3zzDOKjo7Wvn379Ne//lWHDh3Sa6+95lB3+fLlGjp0qP1zQECAMw8FAJyKwbhnj0kROBOnhZ6dO3cqPT1d27ZtU//+/SVJzz77rIYPH65nnnlG4eHhNbbp1auXXn/9dfvnrl276oknntDtt9+uU6dOycvr1+4GBAQoNDTUWd0HgHPq9GDcuqZdMxgXOHtOe7yVlZWlgIAAe+CRpMTERHl4eGjr1q0Nbqe4uFh+fn4OgUeSJk+erI4dOyo2NlbLli2TYdT1fySpvLxcNpvNYQEAd8JgXMD5nBZ68vPzFRzs+JfUy8tLHTp0UH5+foPaOHr0qObNm6dJkyY5lM+dO1evvvqqMjIydNNNN+lvf/ubnn322TrbSU1Nlb+/v32JiIho/AEBgBMxGBdwvkY/3poxY4bmz59fb52dO3c2uUOn2Ww2jRgxQtHR0Xr00Ucd1s2aNcv++0svvVSlpaV6+umnde+999ba1syZM5WSkuLQNsEHgLvhDeWAczU69EybNk3jxo2rt05UVJRCQ0NVWOg42+DUqVM6fvz4Gcfi/Pzzzxo6dKjatWun9evXq1WrVvXWj4uL07x581ReXi6rteZzb6vVWms5ALgbBuMCztPo0BMUFKSgoKAz1ouPj1dRUZG2b9+umJgYSdKmTZtUXV2tuLi4Orez2WxKSkqS1WrV22+/LR+fM/8PJycnR+3btyfYAACAOjlt9lbPnj01dOhQTZw4UWlpaaqsrNSUKVM0evRo+8ytgwcPavDgwXrppZcUGxsrm82mIUOGqKysTC+//LLDoOOgoCB5enpqw4YNKigo0OWXXy4fHx9lZGToySef1AMPPOCsQwEAAOcBp76nZ9WqVZoyZYoGDx4sDw8P3XTTTVq0aJF9fWVlpXJzc1VWViZJ2rFjh31mV7du3RzaysvLU2RkpFq1aqXFixfr/vvvl2EY6tatmxYsWKCJEyc681AAAEALZzHqm+t9nrLZbPL397dPh3dnWT8cc3UXAABotPiugc3e5tlev/nuLQAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAqEHgAAYAperu4A6hffNdDVXQAA4LzAnR4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKhB4AAGAKTg09x48f15gxY+Tn56eAgABNmDBBJSUl9W4zaNAgWSwWh+Wvf/2rQ539+/drxIgRat26tYKDg/Xggw/q1KlTzjwUAADQwjn1u7fGjBmjw4cPKyMjQ5WVlRo/frwmTZqk1atX17vdxIkTNXfuXPvn1q1b239fVVWlESNGKDQ0VJ999pkOHz6s5ORktWrVSk8++aTTjgUAALRsFsMwDGc0vHPnTkVHR2vbtm3q37+/JCk9PV3Dhw/Xjz/+qPDw8Fq3GzRokPr166eFCxfWuv7f//63rr32Wh06dEghISGSpLS0NE2fPl1HjhyRt7f3Gftms9nk7++v4uJi+fn5Ne0AAQDAOXW212+nPd7KyspSQECAPfBIUmJiojw8PLR169Z6t121apU6duyoXr16aebMmSorK3Not3fv3vbAI0lJSUmy2Wz69ttva22vvLxcNpvNYQEAAObitMdb+fn5Cg4OdtyZl5c6dOig/Pz8Orf785//rM6dOys8PFxfffWVpk+frtzcXL3xxhv2dn8beCTZP9fVbmpqqh577LGzORwAANDCNTr0zJgxQ/Pnz6+3zs6dO5vcoUmTJtl/37t3b4WFhWnw4MH64Ycf1LVr1ya1OXPmTKWkpNg/22w2RURENLmPAACg5Wl06Jk2bZrGjRtXb52oqCiFhoaqsLDQofzUqVM6fvy4QkNDG7y/uLg4SdLu3bvVtWtXhYaGKjs726FOQUGBJNXZrtVqldVqbfA+AQDA+afRoScoKEhBQUFnrBcfH6+ioiJt375dMTExkqRNmzapurraHmQaIicnR5IUFhZmb/eJJ55QYWGh/fFZRkaG/Pz8FB0d3cijAQAAZuG0gcw9e/bU0KFDNXHiRGVnZ+vTTz/VlClTNHr0aPvMrYMHD6pHjx72Ozc//PCD5s2bp+3bt2vv3r16++23lZycrKuuukp9+vSRJA0ZMkTR0dH6y1/+oi+//FLvvfeeHnnkEU2ePJm7OQAAoE5OfTnhqlWr1KNHDw0ePFjDhw/XFVdcoaVLl9rXV1ZWKjc31z47y9vbWx988IGGDBmiHj16aNq0abrpppu0YcMG+zaenp7auHGjPD09FR8fr9tvv13JyckO7/UBAAD4Pae9p8ed8Z4eAABaHrd9Tw8AAIA7IfQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTcGroOX78uMaMGSM/Pz8FBARowoQJKikpqbP+3r17ZbFYal3WrVtnr1fb+jVr1jjzUAAAQAvn5czGx4wZo8OHDysjI0OVlZUaP368Jk2apNWrV9daPyIiQocPH3YoW7p0qZ5++mkNGzbMoXz58uUaOnSo/XNAQECz9x8AAJw/nBZ6du7cqfT0dG3btk39+/eXJD377LMaPny4nnnmGYWHh9fYxtPTU6GhoQ5l69ev1y233KK2bds6lAcEBNSoCwAAUBenPd7KyspSQECAPfBIUmJiojw8PLR169YGtbF9+3bl5ORowoQJNdZNnjxZHTt2VGxsrJYtWybDMOpsp7y8XDabzWEBAADm4rQ7Pfn5+QoODnbcmZeXOnTooPz8/Aa18eKLL6pnz54aMGCAQ/ncuXN1zTXXqHXr1nr//ff1t7/9TSUlJbr33ntrbSc1NVWPPfZY0w4EAACcFxp9p2fGjBl1DjY+vXz//fdn3bETJ05o9erVtd7lmTVrlgYOHKhLL71U06dP10MPPaSnn366zrZmzpyp4uJi+3LgwIGz7h8AAGhZGn2nZ9q0aRo3bly9daKiohQaGqrCwkKH8lOnTun48eMNGovz2muvqaysTMnJyWesGxcXp3nz5qm8vFxWq7XGeqvVWms5AAAwj0aHnqCgIAUFBZ2xXnx8vIqKirR9+3bFxMRIkjZt2qTq6mrFxcWdcfsXX3xR119/fYP2lZOTo/bt2xNsAABAnZw2pqdnz54aOnSoJk6cqLS0NFVWVmrKlCkaPXq0febWwYMHNXjwYL300kuKjY21b7t792599NFHevfdd2u0u2HDBhUUFOjyyy+Xj4+PMjIy9OSTT+qBBx5w1qEAAIDzgFPf07Nq1SpNmTJFgwcPloeHh2666SYtWrTIvr6yslK5ubkqKytz2G7ZsmW68MILNWTIkBpttmrVSosXL9b9998vwzDUrVs3LViwQBMnTnTmoQAAgBbOYtQ31/s8ZbPZ5O/vr+LiYvn5+bm6OwAAoAHO9vrNd28BAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTIPQAAABTcFroeeKJJzRgwAC1bt1aAQEBDdrGMAzNnj1bYWFh8vX1VWJionbt2uVQ5/jx4xozZoz8/PwUEBCgCRMmqKSkxAlHAAAAzidOCz0VFRUaNWqU7r777gZv89RTT2nRokVKS0vT1q1b1aZNGyUlJenkyZP2OmPGjNG3336rjIwMbdy4UR999JEmTZrkjEMAAADnEYthGIYzd7BixQpNnTpVRUVF9dYzDEPh4eGaNm2aHnjgAUlScXGxQkJCtGLFCo0ePVo7d+5UdHS0tm3bpv79+0uS0tPTNXz4cP34448KDw9vUJ9sNpv8/f1VXFwsPz+/szo+AABwbpzt9dvLCX1qkry8POXn5ysxMdFe5u/vr7i4OGVlZWn06NHKyspSQECAPfBIUmJiojw8PLR161bdeOONtbZdXl6u8vJy++fi4mJJv5w8AADQMpy+bjf1fo3bhJ78/HxJUkhIiEN5SEiIfV1+fr6Cg4Md1nt5ealDhw72OrVJTU3VY489VqM8IiLibLsNAADOsZ9//ln+/v6N3q5RoWfGjBmaP39+vXV27typHj16NLojzjRz5kylpKTYP1dXV+v48eMKDAyUxWJp1n3ZbDZFRETowIEDPDprBM5b03Demo5z1zSct6bj3DXNb89bu3bt9PPPPzd4OMvvNSr0TJs2TePGjau3TlRUVJM6EhoaKkkqKChQWFiYvbygoED9+vWz1yksLHTY7tSpUzp+/Lh9+9pYrVZZrVaHsobOKGsqPz8//lA3AeetaThvTce5axrOW9Nx7prm9Hlryh2e0xoVeoKCghQUFNTkndWnS5cuCg0NVWZmpj3k2Gw2bd261T4DLD4+XkVFRdq+fbtiYmIkSZs2bVJ1dbXi4uKc0i8AAHB+cNqU9f379ysnJ0f79+9XVVWVcnJylJOT4/BOnR49emj9+vWSJIvFoqlTp+rxxx/X22+/ra+//lrJyckKDw/XyJEjJUk9e/bU0KFDNXHiRGVnZ+vTTz/VlClTNHr06Cbf6gIAAObgtIHMs2fP1sqVK+2fL730UknS5s2bNWjQIElSbm6ufSaVJD300EMqLS3VpEmTVFRUpCuuuELp6eny8fGx11m1apWmTJmiwYMHy8PDQzfddJMWLVrkrMNoNKvVqjlz5tR4nIb6cd6ahvPWdJy7puG8NR3nrmma87w5/T09AAAA7oDv3gIAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6AEAAKZA6GlGixcvVmRkpHx8fBQXF6fs7GxXd8ntpaam6g9/+IPatWun4OBgjRw5Urm5ua7uVovz97//3f6uK9Tv4MGDuv322xUYGChfX1/17t1bX3zxhau75faqqqo0a9YsdenSRb6+vuratavmzZvX5C9+PF999NFHuu666xQeHi6LxaI333zTYb1hGJo9e7bCwsLk6+urxMRE7dq1yzWddTP1nbvKykpNnz5dvXv3Vps2bRQeHq7k5GQdOnSoUfsg9DSTtWvXKiUlRXPmzNGOHTvUt29fJSUl1fjaDDj68MMPNXnyZH3++efKyMhQZWWlhgwZotLSUld3rcXYtm2bnn/+efXp08fVXXF7P/30kwYOHKhWrVrp3//+t7777jv94x//UPv27V3dNbc3f/58LVmyRM8995x27typ+fPn66mnntKzzz7r6q65ldLSUvXt21eLFy+udf1TTz2lRYsWKS0tTVu3blWbNm2UlJSkkydPnuOeup/6zl1ZWZl27NihWbNmaceOHXrjjTeUm5ur66+/vnE7MdAsYmNjjcmTJ9s/V1VVGeHh4UZqaqoLe9XyFBYWGpKMDz/80NVdaRF+/vln46KLLjIyMjKMhIQE47777nN1l9za9OnTjSuuuMLV3WiRRowYYdxxxx0OZX/605+MMWPGuKhH7k+SsX79evvn6upqIzQ01Hj66aftZUVFRYbVajVeeeUVF/TQff3+3NUmOzvbkGTs27evwe1yp6cZVFRUaPv27UpMTLSXeXh4KDExUVlZWS7sWctz+g3dHTp0cHFPWobJkydrxIgRDn/2ULe3335b/fv316hRoxQcHKxLL71UL7zwgqu71SIMGDBAmZmZ+s9//iNJ+vLLL/XJJ59o2LBhLu5Zy5GXl6f8/HyHv6/+/v6Ki4vjWtEExcXFslgsjfoCcad9DYWZHD16VFVVVQoJCXEoDwkJ0ffff++iXrU81dXVmjp1qgYOHKhevXq5ujtub82aNdqxY4e2bdvm6q60GHv27NGSJUuUkpKihx9+WNu2bdO9994rb29vjR071tXdc2szZsyQzWZTjx495OnpqaqqKj3xxBMaM2aMq7vWYuTn50tSrdeK0+vQMCdPntT06dN12223Neob6wk9cBuTJ0/WN998o08++cTVXXF7Bw4c0H333aeMjAyH76ZD/aqrq9W/f389+eSTkn75TsBvvvlGaWlphJ4zePXVV7Vq1SqtXr1al1xyiXJycjR16lSFh4dz7nBOVVZW6pZbbpFhGFqyZEmjtuXxVjPo2LGjPD09VVBQ4FBeUFCg0NBQF/WqZZkyZYo2btyozZs368ILL3R1d9ze9u3bVVhYqMsuu0xeXl7y8vLShx9+qEWLFsnLy0tVVVWu7qJbCgsLU3R0tENZz549tX//fhf1qOV48MEHNWPGDI0ePVq9e/fWX/7yF91///1KTU11dddajNPXA64VTXc68Ozbt08ZGRmNussjEXqahbe3t2JiYpSZmWkvq66uVmZmpuLj413YM/dnGIamTJmi9evXa9OmTerSpYuru9QiDB48WF9//bVycnLsS//+/TVmzBjl5OTI09PT1V10SwMHDqzxSoT//Oc/6ty5s4t61HKUlZXJw8PxkuHp6anq6moX9ajl6dKli0JDQx2uFTabTVu3buVa0QCnA8+uXbv0wQcfKDAwsNFt8HirmaSkpGjs2LHq37+/YmNjtXDhQpWWlmr8+PGu7ppbmzx5slavXq233npL7dq1sz/X9vf3l6+vr4t7577atWtXY9xTmzZtFBgYyHioetx///0aMGCAnnzySd1yyy3Kzs7W0qVLtXTpUld3ze1dd911euKJJ9SpUyddcskl+r//+z8tWLBAd9xxh6u75lZKSkq0e/du++e8vDzl5OSoQ4cO6tSpk6ZOnarHH39cF110kbp06aJZs2YpPDxcI0eOdF2n3UR95y4sLEw333yzduzYoY0bN6qqqsp+vejQoYO8vb0btpOzmlMGB88++6zRqVMnw9vb24iNjTU+//xzV3fJ7UmqdVm+fLmru9biMGW9YTZs2GD06tXLsFqtRo8ePYylS5e6ukstgs1mM+677z6jU6dOho+PjxEVFWX813/9l1FeXu7qrrmVzZs31/pv2tixYw3D+GXa+qxZs4yQkBDDarUagwcPNnJzc13baTdR37nLy8ur83qxefPmBu/DYhi8ThMAAJz/GNMDAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABMgdADAABM4f8BbnFLw/bOTHYAAAAASUVORK5CYII=\n"
          },
          "metadata": {},
          "execution_count": 44
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        " exponential_decay_weighted_avg=IndexData_logScale.ewm(halflife=12, min_periods=0, adjust=True).mean()\n",
        " plt.plot(IndexData_logScale)\n",
        " dataset_Log_minus_moving_avg.dropna(inplace=True)\n",
        " plt.plot(exponential_decay_weighted_avg)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "AHT6wSDKtOhZ",
        "outputId": "6bea824b-7d34-4f19-974f-09d4641e046a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7a5b6672ca90>]"
            ]
          },
          "metadata": {},
          "execution_count": 45
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.seasonal import seasonal_decompose\n",
        "decomposition = seasonal_decompose(IndexData_logScale)\n",
        "\n",
        "trend= decomposition.trend\n",
        "seasonal= decomposition.seasonal\n",
        "residual= decomposition.resid"
      ],
      "metadata": {
        "id": "t6YYl9BTuq82"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplot(411)\n",
        "plt.plot(IndexData_logScale, label='Og')\n",
        "plt.legend(loc='best')\n",
        "plt.subplot(412)\n",
        "\n",
        "plt.plot(trend, label='trend')\n",
        "plt.legend(loc='best')\n",
        "plt.subplot(413)\n",
        "\n",
        "plt.plot(seasonal, label='seasonal')\n",
        "plt.legend(loc='best')\n",
        "plt.subplot(414)\n",
        "\n",
        "plt.plot(residual, label='Residuals')\n",
        "plt.legend(loc='best')\n",
        "plt.tight_layout()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "85nHtNP5v2I5",
        "outputId": "cf2c3d48-9730-42df-d9c5-9207b5d62695"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.arima.model import ARIMA\n",
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "dataset_Log_minus_moving_avg.dropna(inplace=True)\n",
        "train, test = train_test_split(dataset_Log_minus_moving_avg, test_size=0.10, shuffle=False)\n",
        "\n",
        "# ARIMA model\n",
        "model_arima = ARIMA(train, order=(15, 2, 1))\n",
        "model_arima_fit = model_arima.fit()\n",
        "\n",
        "predictions = model_arima_fit.predict(start='1959-11-01', end='1960-08-01')\n"
      ],
      "metadata": {
        "id": "EYmlng8Wx-qe",
        "outputId": "7949abee-4d68-42d8-8473-9dc5a362eb06",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.10/dist-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.10/dist-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.10/dist-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.10/dist-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n",
            "  warn('Non-stationary starting autoregressive parameters'\n",
            "/usr/local/lib/python3.10/dist-packages/statsmodels/base/model.py:607: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  warnings.warn(\"Maximum Likelihood optimization failed to \"\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "test.head()"
      ],
      "metadata": {
        "id": "klxCGnkgDOM6",
        "outputId": "1ec7aa28-fd3d-4878-9aac-554ce5ae1601",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 237
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            #Passengers\n",
              "Month                  \n",
              "1959-11-01    -0.141406\n",
              "1959-12-01    -0.044481\n",
              "1960-01-01    -0.027530\n",
              "1960-02-01    -0.103067\n",
              "1960-03-01    -0.036530"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-f08a9785-1b4b-4bc6-9c78-690f0aab694b\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>#Passengers</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Month</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1959-11-01</th>\n",
              "      <td>-0.141406</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1959-12-01</th>\n",
              "      <td>-0.044481</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-01-01</th>\n",
              "      <td>-0.027530</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-02-01</th>\n",
              "      <td>-0.103067</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-03-01</th>\n",
              "      <td>-0.036530</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-f08a9785-1b4b-4bc6-9c78-690f0aab694b')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-f08a9785-1b4b-4bc6-9c78-690f0aab694b button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-f08a9785-1b4b-4bc6-9c78-690f0aab694b');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-f9172c90-6358-4965-b177-d97d6ccd2612\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-f9172c90-6358-4965-b177-d97d6ccd2612')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-f9172c90-6358-4965-b177-d97d6ccd2612 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "test",
              "summary": "{\n  \"name\": \"test\",\n  \"rows\": 14,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"1959-11-01 00:00:00\",\n        \"max\": \"1960-12-01 00:00:00\",\n        \"num_unique_values\": 14,\n        \"samples\": [\n          \"1960-08-01 00:00:00\",\n          \"1960-10-01 00:00:00\",\n          \"1959-11-01 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.14988079011988,\n        \"min\": -0.1826900819428392,\n        \"max\": 0.3151509626108524,\n        \"num_unique_values\": 14,\n        \"samples\": [\n          0.282363313198136,\n          -0.009230234128389192,\n          -0.14140645301106325\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 93
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "test.tail()"
      ],
      "metadata": {
        "id": "BiWFbX6iC30O",
        "outputId": "7eff4895-a603-42d7-c6d5-d2f5bffa8726",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 237
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            #Passengers\n",
              "Month                  \n",
              "1960-08-01     0.282363\n",
              "1960-09-01     0.098235\n",
              "1960-10-01    -0.009230\n",
              "1960-11-01    -0.182690\n",
              "1960-12-01    -0.085789"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-1da0b0d7-2811-4e0f-92be-afc1a6b5dc4a\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>#Passengers</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Month</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1960-08-01</th>\n",
              "      <td>0.282363</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-09-01</th>\n",
              "      <td>0.098235</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-10-01</th>\n",
              "      <td>-0.009230</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-11-01</th>\n",
              "      <td>-0.182690</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-12-01</th>\n",
              "      <td>-0.085789</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-1da0b0d7-2811-4e0f-92be-afc1a6b5dc4a')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
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              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-1da0b0d7-2811-4e0f-92be-afc1a6b5dc4a button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-1da0b0d7-2811-4e0f-92be-afc1a6b5dc4a');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-ba873985-495f-494e-a8e0-5eab66e602ea\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-ba873985-495f-494e-a8e0-5eab66e602ea')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-ba873985-495f-494e-a8e0-5eab66e602ea button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "summary": "{\n  \"name\": \"test\",\n  \"rows\": 5,\n  \"fields\": [\n    {\n      \"column\": \"Month\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"1960-08-01 00:00:00\",\n        \"max\": \"1960-12-01 00:00:00\",\n        \"num_unique_values\": 5,\n        \"samples\": [\n          \"1960-09-01 00:00:00\",\n          \"1960-12-01 00:00:00\",\n          \"1960-10-01 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"#Passengers\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.1789431992975156,\n        \"min\": -0.1826900819428392,\n        \"max\": 0.282363313198136,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          0.09823524191628241,\n          -0.08578944291721768,\n          -0.009230234128389192\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 94
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Test and prediction data have different number of arrays and mean_squared_error can only work with variables with same number of arrays.\n",
        "min_length = min(len(test), len(predictions))\n",
        "\n",
        "test = test[:min_length]\n",
        "predictions = predictions[:min_length]\n",
        "\n",
        "error = mean_squared_error(test, predictions)\n",
        "\n",
        "# Print the result\n",
        "print('Test MSE %.3f' % error)"
      ],
      "metadata": {
        "id": "cOKpbYWqFQIp",
        "outputId": "944775d9-abc1-470a-9fd9-e3494976b2c0",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Test MSE 0.003\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "predict = np.exp(predictions)\n",
        "test_set = np.exp(test)\n",
        "\n",
        "plt.plot(test_set)\n",
        "plt.plot(predict, color='red')\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "t2xiNjSZFp8n",
        "outputId": "a7de9edd-6775-4f59-c908-d5861ddceb94",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from pandas.plotting import autocorrelation_plot\n",
        "\n",
        "autocorrelation_plot(dataset_Log_minus_moving_avg)\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "CFyhgeBtG7fc",
        "outputId": "81970776-fa80-479b-9624-eed049315930",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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DGS0O0ZR0SJd0APHTs3Sw0gQA2HvaGONICIIglAmJJQkxKyizFLAMp+CRJ2IZLqV9z1K1gsVSdZMgjFIMGvTITgQAVMRBGc7l4lHpNtM8Wa/8eAmCIGIBiSUJsdiUcxrO6B7omp6obXdfptgDpESxJAiinFYN3kK8TRYHrA7lCFJvWHN3booe+WkJAOIjs1RjtsLhNic9Wdcc42gIgiCUCYklCTErqAxncnv8eLt3M5gxpdJMKV0uXiwfevcspSVooVULxppKHajLmrtzUvQoSDMAiA+x5N1XdbKexBJBEIQvSCxJiEVBZTgmltjJLG+S3beZFGaa6D2CxdsfiuM4LxdvZZbiPGLJgHy3WGpssStqXqAvWomlOirDEQRB+ILEkoQ0K0QsOV28GIuvzBK7TWkO00wIpSdqoVW3fmoqfT5ctVf5MNWgFfdY6dmlCq/hv40tdhgtymv6JwiCiDUkliREKafhvDNGyT4yS0nuD3KTRRnxMnzZBjCUPh+u2ugpwwEQs0tKtw9oGx/1LREEQbSHxJKEKGXcCRNLOrUKeo263f1JeuE2s80Jl7vspQR82QYwlG4fwGLPdYuleOlbai+WqBRHEATRFhJLEtJsV0YZjmWMfGWVgNalOaXEDPh272ZkK3w+nHeDNwDkp7LMkrLFByvDaVRCA/0pavImCIJoB4klCbEopgwn9J346lcCgAStGu7PRkX1LfmaC8fIjpsGb3dmKV2wDzgdJ5mlQV0E1/FT5LVEEATRDhJLEmJWyGy4Jot/2wBAOF2WpFPeiThPz5KPMlyKcufD2Z0u1LltGHLalOGU3LPE87yYWRpdnAGAepYIgiB8QWJJQiwKKWmJHkt+ynCAp8lbSZmlWh8eSwyxZ0mBZbhakw08D6hVnOiOnh8HPUtNVod4anJUcSYA8loiCILwBYklCVHKuBPWs5TiJ7MEeJq8lZRZagzgOs6MNOsUZqQJeEpw2ck6qNz1TU+Dt3LLWizrlZagRZ/cZABCgzfPK6fpnyAIQgnEnVhaunQpiouLYTAYMGbMGGzevNnv2rfffhscx7X6z2AwtFrD8zweeughFBQUICEhAZMnT8ahQ4fCis3mcImmirEkmMySx2tJGQIPAJrcHj8phvZiKdV9m9LsDgCg2iSIjhyveXYF7pEnDc12tChERLeFiaX8VAO6ZCSA44AWu1ORY3AIgiBiSVyJpY8++gjz58/Hww8/jG3btmHYsGGYNm0aqqqq/D4mNTUV5eXl4n8nTpxodf/TTz+NJUuW4JVXXsGmTZuQlJSEadOmwWIJr3yiBMdmJpaSAmSWmJBSUhmO9VoFch1vsTvhcCrDooEhNnd7lQ9TDRok6oTsnbfxo5IQxVKaAXqNGnkpwh8S1LdEEATRmrgSS88//zxuuukmzJ07FwMHDsQrr7yCxMREvPnmm34fw3Ec8vPzxf/y8vLE+3iex+LFi/HPf/4Tl112GYYOHYp33nkHp0+fxvLly8OKUQlZhKDKcAps8PaIpfaZJe9mdSXFDABVbQwpAffzTuGlOCbimM1BUaaQDTtJJ+IIgiBaETdiyWazYevWrZg8ebJ4m0qlwuTJk7Fhwwa/jzOZTOjevTuKiopw2WWXYc+ePeJ9x44dQ0VFRatrpqWlYcyYMQGvGQgl9C0FGqLLUNrIE6eLDzjPTqdRQa8Rnq5NCivFeQwpW5d4xb6lBmVmlsq9MksAUJSRCIAySwRBEG3x/2mqMGpqauB0OltlhgAgLy8P+/fv9/mYfv364c0338TQoUPR2NiIZ599FuPGjcOePXvQtWtXVFRUiNdoe012ny+sViusVs8RdqPR6Pl3swV2e/uj79HE2CL0nCRoOdjtvmd9JWhV4lp/a6SAXbuj72Fs8dxvUPten2LQwGqyod5kQX5K++xTrKh0Z44yEzWt4s5zZ5rK6s1B7XGweyUV5Q2CKMpJ1sJut6MwTYi3tNYUtRjCpanZglNm4Y8oomOi/dyKZ2ivgqcz7FWwsceNWAqHsWPHYuzYseLX48aNw4ABA/Df//4Xjz76aNjXXbRoERYuXOjzvh9+WofjqWFfWhKOnVIBUOHogb1YUb/H55oK95rd+w9jhfWg7DGVlJQEvL/OCgAaqDkea1at9LmGc6gBcFj90y84FuM99ubgSSGuk4f2YEXdbvF2U5Wwx5t2HUR3s29B74uO9koqDp1yx31gF1ZU/Y66Kg6AGjsOncSKFSc6enhM+eioCr9WatBgW4PBGbE/VBEvROu51RmgvQqeeN6r5ubgMulxI5ays7OhVqtRWVnZ6vbKykrk5+cHdQ2tVosRI0bg8OHDACA+rrKyEgUFBa2uOXz4cL/XWbBgAebPny9+bTQaUVRUBAAYNnI0zuuTHVQ8crGsbDPQ0IBxZ5+FaYPyfK45vvYo1pw+jJzCIsyYMUi2WOx2O0pKSjBlyhRotf6zQQcqmoBtG5CWqMOMGRf6XPN66UZUlxkxaMTZmNgvR66QQ+a5A78AaMHU88/BqO4Z4u2Nv53EqrJ90KXnYsaMszq8TrB7JRX/2vkjADsunjQe/fNTkHWsDu8f2QKLOhkzZoyX/ftHwn//8ysAEzQ5PTFjar9Yh6N4ov3cimdor4KnM+yVd2UoEHEjlnQ6HUaOHIk1a9Zg1qxZAACXy4U1a9Zg3rx5QV3D6XRi165dmDFjBgCgR48eyM/Px5o1a0RxZDQasWnTJtx6661+r6PX66HXtzdOBACbCzF/0jA7gPQkg99YUt2+RS12V1Ti1Wq1Ab9Pi7vVK9Xgf11qgnC7xcHHfI8ZPM+j2m2UWZCe1CqurplJAIBKoy2keDvaKymw2J2obxbSz0VZydBqtSjOSQEAnG5sgUqtgZrNxFEgZe4+sNIGq2KeC/FANJ5bnQXaq+CJ570KNu64EUsAMH/+fMyZMwejRo3C6NGjsXjxYpjNZsydOxcAMHv2bHTp0gWLFi0CADzyyCM455xz0Lt3bzQ0NOCZZ57BiRMncOONNwIQTizdddddeOyxx9CnTx/06NEDDz74IAoLC0VBFipK8C0KxcFbKSfLAnksMVhTulFBDd5mmxMtbud279NwgMdrSYmn4dgJPr1GhTS3CC1IS4BGxcHu5FFptKDQPd9OaRgtdjS2CM+BUmpGJwgiCsSVWLr66qtRXV2Nhx56CBUVFRg+fDhWrlwpNmiXlpZCpfIc8Kuvr8dNN92EiooKZGRkYOTIkfj1118xcOBAcc3f//53mM1m3HzzzWhoaMD48eOxcuXKduaVwdKsgJEnTHjE02m4QB5LjBQFGlMyj6UknbqdrxUb0dLQYofLxYvu3kqACbiCNAM4TohLreJQmJ6A0rpmnKxrVqxY8j6td7y2GTzPiz8DQRCEHMSVWAKAefPm+S27rV27ttXX//73v/Hvf/874PU4jsMjjzyCRx55RJL4mmMsPng+8BF8htIyS8YgxBITeEwMKgHRkDKlfVk2NUGIl+cFMZjmY4xLrGAeS3mprf8oKMp0i6X6FoyJRWBBcLLOk6lrsjhQ32xHZlJsT6ASBNG5iRufpXihOcY+Sy12J9jElcCZJcFd2qwAx3EguDJcqkFZAg8Aqprajzph6DVqGJhFg4IEHuBx72ZeUIx48Fo61WbY7/Fac4wiIQjiTIHEksS0xLgMx4QEx0Ect+GLZL0gSpTQYwUEV4ZjPVhKMqUMlFkCPDPtGlsUJpZYZqmtWMp0i6V65YqltkLuBIklgiBkhsSSxMS6B4j18yTrNAH7OJLcmSWlZGmCySyx+5RYhmvr3s1gzdNGhYmlSrdYKmhThuuaIfQpnapTXlM6gzV1azghhXqsRrnCjiCIzgGJJYmJ9Wy4YE7CAZ4Snc3hgl0Bg2lZtig1qJ4lZQg8wCOWspN998wwuwOlZZbajjphxEVmyT27rmeqIJYos0QQhNyQWJKYWPcAiZmlAP1KAFqd3Ip1NgzwCKBAcacosAzHvIoy/DQYi5klBWXDAKBSFEutT7yxnqUKowU2R+xFdFt4nhd7lvqnCWLpeK1yhR1BEJ0DEksSE+sG76YgM0tatQo6BQ2mNYk9S4HKcMpr8GbltfQEP5kld8zGFuXE7HTxqHRnxPLblOGyk3VQqzjwPFBnVt7ctWqTFRa7CxwH9E2jzBJBENGBxJLExFosBZtZ8l4T62wY4Mm8BOOzpKSepQb30GKWQWpLmgLLcLUmK5wuHmoV164xneM4pLtjrm9WnlhitgH5qQbkupNiDc12NCgwVoIgOg8kliQm5mIpCI8lBmvyVlIZLhifJZPVAZ5XxvBUJoL8iaVUBZbhWL9STrLe50iT9ETliiVWguuakQC9Gshziz0qxREEISckliSmOdY9S9bgM0tJOiY+Ym8fENxpOCFeu5OHVSH9NEwspfsxnFSidQCzDWjb3M3IcM8NbGhWTswMZhvATu11yxJ6rKgURxCEnJBYkphYZ5Y8jdIdu0UrZeSJt+t4oNNwSToNmBuCEvqsLHYnLHZBtKV2UIZTknUAM6Rs26/ESHeLJSVmllgZrsg9iqXYLZaO1ZBYIghCPkgsSUzsrQPcc+GCKsMpo2HabPO4jgfKLKlUHJJ1yhl5wgSQigNS/GTy2MgTJWWWKjvMLAm/A0VmlupbZ5a6Z7LMEpXhCIKQDxJLEmO2xbafRjxVFkqDd4zFEhM+GhUnjgfxR7KCTsQxAZSaoPU7JNfTsxT7eBnslFuWH7sDZoNQr8DTcG3FUrdM4f/xMPLkYGUTHvhilzjEmCCI+IHEksTwPGLaT8P6j4LJLClHLHmauzuaHq8kr6WGDpq7AWX2LLHyWrofseRp8FZOzADgcLpwukHIijGxVJyVBAA4HgdluFfWHsH7m0rx7sYTsQ6FIIgQIbEkA7EUH6wMlxRMg7deGQ3ewTR3M5Tk4t3YzDyW/MetxJ6lerPbSNNPU7qnwVtZmaXyRgucLh46tUo8BccyS/XNdvH3oVQOV5sAAHtPG2McCUEQoUJiSUL07hJSLJu8ReuAoMpwyrAOCMa9m6Ekr6UGrzKcP9h9VocLlhgPWWawzBITRW3JUKh1ACvBdclIEMueSXqN6BV1ok652SWe53GkShBL+8qbYhwNQRChQmJJQpK0gviIqViyBOfgDXgyS0oRS8F4QymxZyndj+gABNHKKotK8Vpi5TV/dgfpCrUOYMN9WQmO0cNdilPyibhKoxVm9/tChdGiyH4wgiD8Q2JJQgw6JpZiWYYLwWeJlbQUI5Y6LsOlKqhnyWNI6X+vVSpOzPIpYeQJz/NieS3TX4O3Qq0DWGaJDftldM9S/om4I+4SHGNfOZXiCCKeILEkIYm62GeWQilpKafB213OCqEpXRGZpebAo04YqQoaeWKyOuBw+zR0VIZrbLHD5VKGUzrgMaRkw34ZxdnuJm8Fn4hrK5b2klgiiLiCxJKEJGiFD/JYiSWbwyWexAtu3IlSxFLwZTgl9Sw1djBEl5GmoJEnrLRm0KpgcJeN28LKcC5eGTEzTta7DSkzW5fh4uFEHOtX0qmFt1zqWyKI+ILEkoQkxrgM5y16gjsNJ8Qb6yxNOKfhlOBbFIx1AOCxD1DCibiOmrsBQKdRIcn9XFaSfYC/zFJ8lOEEIXd+3xwAVIYjiHiDxJKEJMS4DMdEj0Grglbd8a/WU4aLtXVAKJkldxlOAWKpMYjTcICy7AOYIWWgpnTv+5XSt2SxO1HVZAXQvmeJleFqzTZFZcK8YWW4i4cWAAAOV5lgdypjviFBEB1DYklCEmN8Gi6UuXCAcspwxhAavD2mlLH/UOxoiC6DjTxRRDasObDHEiMjiY08UYZYOuVu7k7SqdvFnqzXiM3qpxuU545ttjpQ7p7Hd37fHCTrNbA5XThardyyIUEQrSGxJCGJ7rJWc4zEh+ixFESGBvDKLMV4RIunDBd8z1KsS4eAx5SyozJcmoIavIMpw3nfzwwsY404QDcz0afLe3ayEG+tSRnizhtmaZCVpENmkg7981MAUCmOIOIJEksSYmAN3jEyHxSH6AbRr+S9zsUDLTE0TAxF5CnFwZvn+eAzS4rqWXJnlpI6yCwprAx3SpwJl+jz/qwkwZiyxmSNWkzBwkpwvXKSAQADClIBkFgiiHiCxJKEsKbY2GWW3HPhghRLiTq1aJgYy0xNPPYsNduc4hH8eLIOaAg6s8TKcLGPGRBMHQGgMN3g8/7sFCaWlCHuvGEn4XrlCr1VTCyRfQBBxA8kliTEoIvtuBMmIII5CQcAHMchSRf7Ju9QTsOJZTibI6YeQOwknFbNIcHPEXyGkqwDPO7d8dXgXe1u7s5O1vu8P8vds6TMzJJQhvNkllgZjuwDCCJeILEkIUx4xO40XPC9P4ykGM+H43k+rMwSzwu9VrHC06+k89lD4w1r8FZWZqmjMpyyMktMBLE5cG3x9CwpUSy1LsP1y08Bxwk/ExOBBEEoGxJLEmLQxtZnyRSCezcjKcaO2Ba7SyxnBZNZ0mtU0KoFcRLLvqWGFube3fFee6wDYt+UzqwDOizDJSkss2QKnFlityutDOd08Tha0zqzlKjTiPPsqG+JIOIDEksSEutxJ2zGWzBDdBni+JAYCQ9WglNxnp6vQHAcp4iRJ8YghugyxAZvBZThGjoYosvwlOFiHzMA1DQFzixlucWS0jJLZfUtsDlc0GlU6OI1AJiavAkiviCxJCGJsS7DhZNZ0nnsA2KB0SvmjspZDCWMPGkM0r3be41RAbPWgrcOUI7PEs/zYsaIldvawm5XWmbpSI1QguuZnQS1yvP89vQtKVss7S5rxMwlv2Dj0dpYh0IQMYXEkoQkxLoMF6LPEhD7Mlwozd0MJdgHNATpsQR4TsO5YtxnZXU4RSHPymz+UJJ1gLHFAZvb7brjMpw1pp5hbWEn4XrmJLW63ZNZUnaT9zsbjmPPaSNe/+VorEMhiJhCYklCYl2GY4InlMxScowbvENp7mZ4XLxj2OAdQmbJoFVDp1G1elwsYAJPreKQ2sF+szKdxe5CS4yez4xqk+B+nWLQ+B3+m+XOLFkdLkUYljLanoRjMLF0pNoEqyO2+xuI3081AgA2H6uDM8ZZUYKIJSSWJMQQ656liBq8YxtzagiZJdFrKYYfisEO0WV4jCljFzPLEqUnaDsseSbrNdC4y0axzi5VNwnf31+/EiCUwNkfK0py8W57Eo5RkGZAqkEDh4vHYXf2SWk02xw4WClkvowWB/ZXKLtkSBByQmJJQkRTyhiX4cJp8I5VZikcuwMl9Sx11CjNUIJ9ABtdEkzMHMcpxmupo5NwDO9SnFI46kcscRyHHu7bTtUrb54dAOw5bYR3MmnT0brYBUMQMYbEkoQkuMed2J08bI7oTxRnDd4pQQ7SBWIvlsRsWByd4AM8p+GCzSwpwZgy2OZuhlK8ljo6CcfIUliTd0OzTYylbc8SABSkCm7kFe4hu0pj58mGVl9vOkZN3sSZC4klCUnwOvoeiz4PcxiZpVg3eBsj6FkyxkmDN6CM+XBiGS5osaSszFJOnGWWWL9SQZrBp6t+fppbLBmVKZZYv9LE/rkAhL6lWJ/mJIhYEbJYMpvNePDBBzFu3Dj07t0bPXv2bPWf3CxduhTFxcUwGAwYM2YMNm/e7Hfta6+9hvPOOw8ZGRnIyMjA5MmT263/85//DI7jWv03ffr0sGLTeRkmNtuj+0HucvEw2cJp8I51ZimM03AKavAOtgyXpoD5cEzgdeTezWA/W6y9loLNLHlcvJWRWTruNqPskd0+qwR4iSWFZpZ+P9UAALh+TDckaNWob7bjkEL7qwhCboL/VHVz44034qeffsL//d//oaCgIGhvHCn46KOPMH/+fLzyyisYM2YMFi9ejGnTpuHAgQPIzc1tt37t2rW49tprMW7cOBgMBjz11FOYOnUq9uzZgy5duojrpk+fjrfeekv8Wq8P/KYciESdBo0t9qg3eTfbnWAnpsNp8I7VbLjwTsO558NZY9+zFHRmKSH22bB6t3t3Zge2AQyWWWowKyOz5M9jiZGVpKzMEssYFaYn+Lw/X8FluMZmO47XNgMAzuqWgZHdM7DucA02HatFv/yUGEdHENEnZLH03Xff4dtvv8W5554rRzwBef7553HTTTdh7ty5AIBXXnkF3377Ld58803cf//97da/9957rb5+/fXX8dlnn2HNmjWYPXu2eLter0d+fr4kMSbq1IJYirL4YP07ahUHgzb4hCGbDRdPPkspMfZZcrl4sfcoLSE44eFtTBkrgh2iy0hPUkhmqYO5cAwxs2RWhlgqbxQatwvcGaS2KLkM93tZAwCgW2YiMpJ0OKdnpiCWjtZh9tjimMZGELEgZLGUkZGBzMxMOWIJiM1mw9atW7FgwQLxNpVKhcmTJ2PDhg1BXaO5uRl2u71d/GvXrkVubi4yMjIwceJEPPbYY8jKyvJ7HavVCqvV84ZsNApHau12OxLcQsXYYoHdnhj0zxcp9SbhjTlZr4bDEbyIMLjbrJosdtjt0n8osmv6uzYTD4kaLujvn6Bls+HkibkjGlvsYhYvUeP/Z/MmSSc8LxrMVr/rO9qrSKkzCx/KqXpVUN8j1S2k60yWmOwzo9oovNbSDep2e+QdV7o7e1dljG28jPIG4TWZnaT1GU92ohBvRWMLbDabrFn6UJ9b208IJ9+GFKbCbrdjZLc0AMDGo7Wyxxpr5H4ddiY6w14FG3vIYunRRx/FQw89hGXLliExMXpioKamBk6nE3l5ea1uz8vLw/79+4O6xj/+8Q8UFhZi8uTJ4m3Tp0/HH/7wB/To0QNHjhzBAw88gIsuuggbNmyAWu3bAG/RokVYuHBhu9tXrVoFe0sKAA4/rd+Emr3Ra4Y83gQAGqhddqxYsSLox5WZhcfVNzWH9LhQKSkp8Xn7qUo1AA4Hdu/AirLtQV3rsBEANKiobZQ1Zn/UWITvr1PxWL1qZVCPKa3kAKhxqLQMK1acDLjW315FyrEyYa+P7NuFFVW/d7j+pDvmgyc6jlkuXDxQbRLi3rV5PU62SS5579XhRiHe0sr6mDwv2nLgpBD3qUO7saJmV7v7hUq9Bi12Fz77+jskhvxuHDrBPrdK9qsAqKBpKsOKFafgcAFaTo1asw1vffYd8qP31h8z5Hoddkbiea+am5uDWhfyy/O5557DkSNHkJeXh+LiYmi1rcsn27ZtC/WSUeHJJ5/Ehx9+iLVr18Jg8KTFr7nmGvHfQ4YMwdChQ9GrVy+sXbsWkyZN8nmtBQsWYP78+eLXRqMRRUVFmDp1Kj5vPICT5noMHjYCFw2WprQXDOsO1wK7tyInPQUzZowL+nEn65vx9O/rYIcaM2ZMkzwuu92OkpISTJkypd1zBQCeP7AOMDfjwvHnYFT3jKCuua+8CS/u2QBeo8eMGRMkjrhjdpU1Ats3ITPZgBkzLgjqMdzuCnx49HckpGZixozRPtd0tFeR8u+D6wBTMyadNwajizvODmv3VuHDozugTc7AjBljJI8nGOrMNrg2rgUA/PGS6aITuq+9OlRlwkt7f4WV08ryXA6VR3etBWDDzAvPxaDCVJ9rHt/1Ixpa7Bg65jz0zZOvFyjU59YTe34CYMVVkz3PlU+qfsPGY/UwdBuCGaOLZItVCsxWBxJ16rAyYHK/DjsTnWGvWGWoI0IWS7NmzQr1IZKQnZ0NtVqNysrKVrdXVlZ22G/07LPP4sknn8Tq1asxdOjQgGt79uyJ7OxsHD582K9Y0uv1PpvAtVqt2FxtcSKqTx6LQ8hipRi0IX3f9CSh+dTqcIFTqaFRy+MmodX6jovNSstINgQdd0ayIHabLI6YvEDNdmGv0xN1QX//zGRhn5sszg4f42+vIoW5juekJgZ1/exUIebGFnvM3ggbrULpMD1Ri6QE3685FltBunDqrLHFAZ7zjJiJBTaHS/RYKspK9rt/+WkGNLTYUW12YFAU9jiY51aV0YJKoxUqDhjeLQtat3/cOb2ysfFYPbaUNmLOufKffA6XXw/X4Po3NuGuSX1x5+Q+YV9HrtdhZySe9yrYuEMWSw8//HDIwUiBTqfDyJEjsWbNGlGwuVwurFmzBvPmzfP7uKeffhqPP/44vv/+e4waNarD73Pq1CnU1taioKAg5BhtNhsM7jfophYrbDbhzVKlUkGj0bRa5w+O41r98oJd2+Ru0E7UqXw+pu117XY7eJ6HjvOYZ9abWpDmHoXha60/dDqd37V2ux1OpxM2m034fl5rHQ6HeDrMoOLbxd12rcslxKpXCde3OlwwNVsEywatZ4SH91pfhLvW6XTC6XSixij0oqQaNK1i9rWWwU7rN7TYYLPZoNFooFKpWq1tu1cMX2v94W+t08WLJ/iSNGgXg8vlatfrluyOub7ZBqfTKZalfa31Rq1WS7a2vF44fp+VpGsVA8/z7fYqQc1DreLgdPGoNragS2aSuDZQX4L361OqtWXufiWdWiWePvT1usxN0WF/BXC6vnUpQI73CCDwa5mt3en2V+qVkwQt5xKvP7JIyI5tOloDm80W8HXflnDXdvT69LX2w80nwPPA/zYex83ju0HtHtsT7Ou+bXzhvEdIsVaK172Ua329Pr3fs1QqVUzeI/yt7ei17L02GMKukm/duhX79u0DAAwaNAgjRowI91JBM3/+fMyZMwejRo3C6NGjsXjxYpjNZvF03OzZs9GlSxcsWrQIAPDUU0/hoYcewvvvv4/i4mJUVFQAAJKTk5GcnAyTyYSFCxfiiiuuQH5+Po4cOYK///3v6N27N6ZNCz2N/9xzz+Gwqh+AHKz4fg1O/SB8vz59+uC6664T1z377LN+f4ndu3fHn//8Z/HrF154wW9NtbCwEDfddBMAz2m4k0cPYdGi79utzcnJwW233SZ+/dprr6G6uhoAoMJZcEGFp59fgmSVDWlpabjrrrvEtW+//TZOnz7tM4bExETcd9994tfvvfceTpw40W7drl27oNVq8cADD4i3vf/hx7A5hMbRV//zIvRc6xettzD/4osvsHfvXgCAi+cAjAQAPP70czBwDixYsEB84/zmm2+wc+dOn/ECwL333oukJOGD9Pvvv8eWLVv8rr3zzjuRnp4OAFizZg02bNiA/Y4cAN1RUXoUixZ5avW33nqraGHxyy+/4KeffhLvM7r0AIag1tiMRYsW4cYbbxTtKzZu3IjVq1e32itv5syZg+LiYgDC6+67777zG++1116Lvn37itf58ssvAQAWXg2eF16jr774b6g4Hn/84x8xaNAgAMC+ffvw6aeftrpWC68BMByNLXbs2Pk7Rp4lPP7w4cP44IMP/MZw0UUXYfRoodRYWlqKZcuW+V07efJk8WRteXk5Xn/99Vb3H3FkAugJc205fvnlF0yYMAGA0MO4a9eudnulcw1FC3RY8eM63HSF8BpubGzECy+84DeGUaNGYebMmQCE/oVnn33W79phw4aJf6zZ7XbxvaYtlc4kAAOQl6YXPxx9ra2wdQeQgzUbtuK6c4rF2+V4jwCAV199FY2NjT7XsvcI5q+kN1e2itnBc1BhBKqabHh8yWtYeO/fxPukeI8A0O494uOPP8ahQ4d8rgXav0fs3rMX31uGAdCixmTD/CdeQr5a8IYK5T1i8ODB4r/DeY/wR6D3iLYEeo9oixTvEb7o6D2CsWvXLlx22WUYPnw4gOi+R3hzwQUXiO8R1dXVePnll/2uHTt2LKZOner3/raELJaqqqpwzTXXYO3ateITpKGhARdeeCE+/PBD5OTkhHrJoLn66qtRXV2Nhx56CBUVFRg+fDhWrlwpNn2XlpaKKhgAXn75ZdhsNvzxj39sdZ2HH34Y//rXv6BWq/H7779j2bJlaGhoQGFhIaZOnYpHH300bK8lLYS/QGwIXrFKATv6r0XolgVaOGGFCvYoG7pbXJ5+glDiVnE8NHDCATXsvAqGKB/MsfLC77atuAuEnhN+Pw6o3WIvulh54aWuhQMqLriDB3rxd8LBbI/++B4AsEDIiiRwQZ6U5Bxo4XVossXWabqZFz6UmZeSPxI5IWtjtCtnmALLLBXorICXq4GG45GtMqPKlYJKe+CfK1bU8EmwwpNJO+HMEMUSQUQCxwfKh/rg6quvxtGjR/HOO+9gwIABAIC9e/dizpw56N27d0A12VkxGo1IS0tDdXU13tpSjaVrj+K60V3xr4uF/YlGGW7Rin34789H8Zdx3XH/9L4dXtc71Tzx+V9wqsGCj286G8OL0iUvw33//feYNm0atFptq7WHKxoxefE6JOnV2P7/Jga8bttU+LlP/4Rqkw3Lbx2DgQWpUS3DPfX9Qbyx/kS7vQ6UYne6eAz4l/CX4cZ/XIDctESfZTjvvWJIkWLfXtqAq1//DV0zEvDD3ePbrfWX3j7r8R9hsjpQctd49MlPC7iWIWWK/ZlVh/DauuP489huePDigeJam82Gb775pt1e/WXZNqw7UounrxiCq87uBiA2Zbi3fj2BRSsP4pJhhXjx2hFizG35ZGsZ/t+Xe3FB32ws+4uniV7q9wi7XTglO2XKlFbvRW3XajQajHi0BA3Ndnz21zEY0qV1Y/oDy/fg022nccfEXpg/tb94u1LKcP8uOYilPx1DdrIONSYbCtIMWDt/vLgPwZbhSkpKMHPmTGi1WirDdVCGY+9ZBoMhLstw7PO7sbERqam+D2IAYWSWVq5cidWrV4tCCQAGDhyIpUuXhpTS6ozodDqkJwoZqRZ76/6ctutCuWYwsN6f1ERdUI/xfrNNNmgBWGB1cT4fG0rjXtu1HMdBrVZDp2vfDN3sbkpPNWg7jLntG3xKghbVJhsszvYx+/swCOa6gWAvLpNVeOPMTNb7jdtXPTxFr0GT1YFmB1plQNnaQHsV6LodxQsAJndTemaS7+eHSqXyeXtGkhYmqwNGL5NVf2t9EenaumbheZ2bltDq5/a3VznuTI63kSbH+X5e+0KqtdUm4fvnp3oy1L7Wsr6qSmNrI0053iOAjhtxS2ub0dBsh1bNYXBRBnSa1s+1HjnCib1TDa2NNCN5jwhEqK/lX44I/lB3Te6LRSv2obzRgn1VLRhelB70ddnYq3BiCPf1GQ9rfb0+vV+H3teJ5nuEP0J5LQf1vUN9gMvl8vlk12q1AdX3mUJKjOaWeRylQz+RkBSj+XDhjDphxNLFu6FF+Es+1L1OZS7eMYi5zhzaEF2GOEzXHBvTuWCH6DKYi3esR54wV+68DspwBWkJrdbHmn0VwjHqvnkp0Gvaf4h2zxIMlk7UBudNE02qm6zi8N+pg/JwoXsA8He7y2MZFtFJCFksTZw4EXfeeWerZr6ysjLcfffdfo/an0l4hrxG98OFOWGHMjaEwcSSKcojWsIZdcKI5Xw4cS5ciMKDicJYDNMNdYgug4mr+ubYzIdjQ3SzOxh1wshyi6pYD9Nl896YGPIH62lqaLbDYo/NfEZvTtQKpw975iT7vL+7OxOmRLH000HhwMqQLmnITTHgosHCiebvdlUELPsRRDCELJZeeuklGI1GFBcXo1evXujVqxd69OgBo9GIF198UY4Y44pkUXjEJkuTGkaWJtk91iLamSVjBJml5BhmlhpbhO8ZamYplvPhmNjJCDmzJMTcEKP5cKFmlrLcx/SrFZJZyk8LHHdqggYJWuH1p4SBumx4bnGWb4vubu7ba0zWqL9fdMSPB6oAABf2Ew4ZTeiXA71GhdK6ZuwtD854kCD8EfKnVFFREbZt24bVq1eLY0YGDBjQaoTImQz74I+2WGJluNRwynC62MRsEsVSOJmlGIolt/BID7sMFwuxxDJLYZbhYpBZcrp4sXzY0RBdBstAxTKz5HLxqBTFUuDMEsdxyE8z4FiNGRVGC4qzk6IRol9YZql7lu840hK0yEjUor7ZjhO1zRjox5k82jicLvzszixNcJffkvQaXNA3B6v2VmLl7goMKkyLZYhEnBOWzxLHcZgyZQqmTJkidTxxj1geinbPUgvLLEVShoujniX3zxmbzFJ4/WFsfWzKcO7MUlKoZThhfX0MMkv1zTY4XTw4DqKxY0dkJwliKZY9S3XNNtidQty5QYi8/FS3WFJCZqkmcGYJALplJaG+uQGldWbFiKVtpQ1osjiQkajFsK7p4u0zhhRg1d5KfLe7AvdM7Re7AIm4J6hPqSVLluDmm2+GwWDAkiVLAq694447JAksHrHZbNCrhDd1o8Ue8Eiv1LD+H4O6vRN2RyRphZMfjWar5DH7c6UGgHqzxf39fbuOByKBxdwsfcyBsDtdMAsTUJGgCW2vk3VC1bve5DvmQHsVKXVu8ZDsx+HdHyl6lfvxlqjuMwCU1wv+OOkJWvBOh3vwrIC/vUrTC8+LOrMNFosVKlX0Pa1O1TYBALKTdO3i9kVOivCeUVZnlm2Pg3luWe1OnG4UnMcLU7V+YylKN2DnSeBoVRNstixZ4g2V1XuFJu7zemfB6bCLDmHn9UqHVs3hcJUJe8vq0NtPL5Y3cr4OOxudYa+Cfc0F5bPUo0cPbNmyBVlZWejRo4f/i3Ecjh49GnyUnQTm03D//fdDpU/CexbBV2W2YSvUQRoARoKD5/A/i+BofZ1he0hmiQCwx5GHzfYi9FTX4gLdMTlC9Mk6WzEOObMxUnMKQ7UVIT2WxdxDXYsJUYy5hdfgQ8twAMAcwxaE8lm8w16A7Y4u6Kuuxrk63w7GcrHcMhD1fCKm6g6iizr4/o2jjkz8ZO+JfJURF+kPyhhhe8qcqVhl64t0rhmXG/YG9Rgnz+Ed92vhWsN2GEJ8LUhBqTMNa2x9kMWZcalhX4frt9i7YJejAAPUlThHdzIKEfqmwWXAF9bB0MKJ6w3b4W8G7TZ7IXY6CtFPXYVxutLoBukH9vw+X3sUvTR1re5bZe2DMlcaRmtPYpCm0s8ViDMVi8WCJ598UhqfpWPHjvn8N9EejZcTtR1qqCF/mcguuoXz0IXh4K1zx8hcnqMFc8LWhfGBFquYbSxmOEISSoDn54y2uzsAWNz7xJzEg4Wtt/DRH5LJYk4IIWY1x0MHB2zQwMJrYyKWmHt3EhfcX6zMxZs9LlYYeaFkmMJZ/Aol4X6re70yXLybeS3q+UQAPLqo249yyVGZUeZKQ71LGfES8UnIDt6PPPII7r33XiQmtq5pt7S04JlnnsFDDz0kaYDxgLeDd2pqKkY89gPMNidW33UuumX6r/1LxdEaM6Yv+RUpBg22PnBhyI8v2VeFv32wE8O7puHjm0dLGps/V2oAmP3WFmw8Vo/nrxyCi4fkh3TdHw9U46/v7cDgwhR8fss5UoYcEF9O2MGyfMdp/P3zPRjXMxNv/3lku/sD7VUk8DyPwY+sgd3J48f549ElPXDTsTeHqkyY+dIGpCVo8NuC0J9bkfDGuuN4atUhXDo0H8/+cUir+wLt1bQX1uNYbTP+N3ckxvTIjGbIAIB/rz6Ml38+1srFPxCr9lZh3oc7MbRLKj7965gO14dDMM8t5jp+0aA8vHD1UL/X2nKiHte9sQVd0w34Yf55ssQbCmv2V+HW93eiX14yvv7b2Hb3r9xTiTs++j3o/ZXrdRiIE7XN+NsHO3HZsALcdF5xVL6nFMRir6TGaDQiJydHegfvhQsX4pZbbmknlpqbm7Fw4cIzUiwxdDrBHTnFoIXZ5vTpLi0HFqfQlBmME7YvMpOFD0+j1SF5vIFcqZvcvk6ZyYaQv292qvD8a2iRPuZAuA2lkZ4Y+l7npgkx1zXbfT42GAfvcDBbHbA7eXcMSdDpgn/Zd80SHJsbWxxwcWoYtNHLitVbhOdHbmpCQOfgtnuVk2LAsdpmNFpdUX1uMKrdBp5dMpKC+v5FWUIfTVWTTbZ4g3lunWoQMkY9cpIDxtE7TzhVdrrRAqg00GliO9fuULXQZzWoS5rPuAd2yQAAHK42Q6PRdtjHJtfrMBCLf9yNg1UmvPDjEVw5uhtyU+IjCxaLvZKaoN3DQ70wz/OtrOAZO3fuRGZm9P+KUyLJUT7W7jGkDK8k5fH/iR+7g1j5/4Tr3g0A2cww0RzdRml27F+nUSFRF5rYSTXEzgeo2m1IGaxtACOLuXg3xeZEHNunjoboMvLThHVVTRY4nLGbgnDcbRtQ7Mc2gJGTokeCVg0XD5Q1tEQjtIDsc3soDcj3nRUozkqETq1Cs82piHjbsr/CiG9/FxrUbQ4X3lx3PLYBET4JWixlZGQgMzMTHMehb9++yMzMFP9LS0vDlClTcNVVV8kZa9wQbWPKSESH8DghXmNL4AGXUtPoFjrh2B0w/x+T1QGbI3ofMCzmcMQS+9CvM9vgckVvn73du339oRMI5gMERH8kBzv+nx2kISUjVqKU4TGkDE4sZSfroVZxcPFATQz9oZgrd/cAtgGA8Jxg7QVMYMWS/RXC6cMBBb7FkkatQq9cIXt3wL1WSSwuOQQA4p6+u/FETOxFiMAEnYpYvHgxeJ7HX/7yFyxcuBBpaR6DL51Oh+LiYowd275efCbiMaaMzhM+EvduwPPBb3O6YHW4olJqcbl4NLnFJBNroZCaoAXHATwvZHuilbZucL+JhTpjDfB4BTldPBpa7EF7B0VKuO7djLxUPY7VmEWjxWgRcWYpRl5LYmYpSLGkVnHITdGjvNGC8saWoB8nJTaHC6fq3R5LQRhjds9KxIHKJpTGeOxJs80hCrb+BSl+1/XLS8a+ciMOVDZh8sC8aIXXIXtON2LlngpwHPD6nFGY9/42HKw04d2NJ/C3C3vHOjzCi6A/pebMmQNAsBEYN25c3NYno4EolqJchgsnQwMIDt4qDnDxgmFiNMSSyeYAS2KFE7daxSEtQYuGZjsamu3RE0thzlgDAK1ahfREIeYakzWKYokJvPCeH6ycFO0yXKSZpVhkaUxWh5hRDrYMBwjCqrzREnVByihraIGLBwxaVVBGmkoZqLu/ogk8LwjqQM+TvvmCkDpYqazM0uLVQlbpkqGF6JuXglsn9MLdH+3Em+uO4S/n9kBCiGVzQj5C7lm64IILRKFksVhgNBpb/Ud4ynDRmi4faRlOpeI8oziilP5l30evUYUtzsRRHFEstzSIo07CEzriB3kU+2nY/oSdWXJnOsqjKJYcTpdYRgs1s5Qdw8wSE5QpBo3ojB8MTFhFc4+98e5XCqZU2y2LDdSNbRluf3ngEhyjX54glpRUhtt1qhEleyuh4oA7JvUBIIimrhkJqDXb8PGW2HluEe0JWSw1Nzdj3rx5yM3NRVJSEjIyMlr9RwDJevfIk2j1LLVEVoYTHhvdURxizGEKPCA2ozhYGS4tzCwNG/RaE0WBx8pw4ZQOAc8HeTSzHnXNNvA8oAph1AkjKzl2I09Cbe5mxKovjHGihs2EC87qpLu7v+ZEXWwzS57mbv8lOADo6xZLR6vNsMewid6bf68WTF5nDe+C3u6eKo1ahb+e3xMA8OrPRxUTKxGGWLrvvvvwww8/4OWXX4Zer8frr7+OhQsXorCwEO+8844cMcYdyVEuw7FRJ+EMpGWkRXnIq5gNi0DgsUxJQxSHvLIyXKhDdBls0Gs0M0uRlA4BoCAGH+SsXykzSQd1iO6forhrtEa1kR4IvbmbEatSJ+N4bfD9SoDnxFxpXXPU99gbUSx1kFnqkp6AJJ0aNqcr5tkwADhV34wf9ldBxQG3u7NKjCtHFSE7WYeyhhZ88/vpGEVItCVksfT111/jP//5D6644gpoNBqcd955+Oc//4knnngC7733nhwxxh0pUT8NF36jNIM9NnqZpchKh0BsMkuNETR4A0BODLIeLLMUbo9Unig+ovdBXuvuNwq1XwkQxJ1axcHmdKGyKbrio8I9Wy3szJICynDBUJhugEbFweaI/h4zeJ7v8CQcQ6Xi0EcsxZlkj60j1h+uAQCM6JaBHm0EqkGrxrWjuwEAfthfHfXYCN+ELJbq6urQs6eQJkxNTUVdnTCHZ/z48fj555+ljS5OSYmRz1K4Dd5A9L2WRIEXQcyxySyxklZkZbjaKDYfexq8wyzDiT5A0cvU1JrDa+4GhFJGYboQ88m66PrqsMxSQbiZpViV4YK0DWBo1Cp0yRDMbI/XxKYUd6q+BSarAzq1Cj1zOhZ5Yt+SApq81x2uBQCM753t8/5xvYTbNx+rjdsBtZ2NkMVSz549xflw/fv3x8cffwxAyDilp6dLGly84jGljLJ1QARZmuj3LEWeWcoQM0vRER4uF+/JLEVahotiZqlBtA4IL+acZD1UHOBw8agxRyduJiaZDUCoMM+a0ij31LDMUF6IYqkgLUF8fLTLWg6nCyfd+xRsZgnw3uPYlLX2uktwvXOToVV3/FEmnoiLcZO3y8XjV3dmaXwf32JpRLd0aNUcKo3WqD+HCd+ELJbmzp2LnTt3AgDuv/9+LF26FAaDAXfffTfuu+8+yQOMR2JlShmugzfgnVmKn54llimJVhmuyeoA+xw7kxq8NWqVmOGpbIyOWKp2i8mspNAzS0AMxVKYmaWCdAO0ag5WhwunG6ObDTvdYIHDxUOnUYVUPiwWT8TF5sOcnYQL5K/kDcssxdo+YF+FEbVmG5J0agwvSve5xqBVY1hX4b5Nx+qiF1yImL3eEzs7IX9S3X333eK/J0+ejP3792Pr1q3o3bs3hg71P3zxTMJjShk/ZbjUaDd4S3AaLtplOPZ9EnVq6DXh2R3EosG73hxZgzcglOKqmqyoMFowBGkdPyBCIs0sFbnF0smoZ5aE32teiD1LWrUKPbKTcLDShEOVJnTNkH8AN4P1K3XPTOxwbpo3sfZaYs3dAzvoV2L0zRNOnB2vNcNid0Z1zqE3rF9pTM+sgBmx0T0yseVEPTYfq8NVo4qiFV7QfPP7adz7yU4UGNSYNMXZ6b0XI56A2L17d/zhD38goeSFaB0QhZ4lh9MFs00YOBpRGS4hymU4S+QCLyPKDd6RnoQDWjd4R6MXweZwiaI9XJ8lwPPhH62emlp3ZiknjJ4lwJNZiqZYsjlcYnk11AZvAGIDcrQzH+x0WPcQSnCAZ49PxKgMt68iuJNwjJwUPdITtXDxwOGq2DV5s36lc/30KzFG9xBmrW5WYGbpfxuO4/YPtsNid+FYE4cFX+zp9L1VQWWWlixZEvQF77jjjrCD6SxEs8HbO3sVSRmOlcOi1uAt9ixFXoaLWmZJ9FgKX3SwTInVIYjc5BCMC8OBDf7luMjEtOdoe3RKRMyQMuzMUkb0y3BV7lNhOrUqrJOHfXNT8C3KcbAyuh/kom1AkM3djO5eZTh/A9blwmx1iBmt/h14LDE4jkPfvBRsPlaHg5VNGNxF/gxpW6wOJzYfC9zczRjZPQMqTngOlze2iH1tsYTnebyw5pDoPD5lQC7W7K/Et7sr0P+Hw+1sEDoTQb1T//vf/w7qYhzHkViCp8FbmLXmDLtkEwxM3CRo1UE1OfojLR4zS0nCYxua7VF5s/a4d4cfc6JOg0SdGs02J2qarPKLJa9sWKh+Rd54jrZHp3zIypRZEWaWqpqsaLE5ozI2otIoxJybqg/rucjKRIeqYpRZCtJjicH2uMniQI3JFrLTeiQwy4DcFH1Iz5F+brEUqxNx2040wGJ3ITtZL/6+/ZFi0GJQYRp2lTVi87E6XDa8S5Si9M9j3+7DG+uEA153Te6D284vxoNvr8RHR9V4ruQg+uQlY/rgghhHKQ9BvVOz029EcCTpPNtqsjigT5ZRLFkiz9AIj4/fniWHeyhvJMIrGDweS5F9n+xkPUrrmlFjsgZtAhgukY46YeRF0cWb53mxAT4rTG+o9EQtUvQaNFkdOFXfLJa45KTanVkKZraaL1iMhypNcLn4kPqHIiHczFKCTo3euck4XGXCzpMNUR1QG6wZZVtifSKO9SuN750VlKAe3SNTMWLp54PVeGPdMXAcsPDSQZg9thh2ux3j8njoc7vhnY2luPujneielRTy7yUeCDsVYbPZcODAATgc0SnbxBNqFYck91+ycjd5S5GhAWKZWQpf5Bm0ahi0wlO4wSx/3A0R+hUxssTZZfKXDyMdosuIpg+QyeqAzSGMeQjHZwkQstxik3d9dEpxLLMUanM3ozgrETq1Ci12J8oaolPudLp4lNaGbhvAGNlNGHG15US9pHF1xH53v1KwJ+EYnhNxselZWucWSx31KzGU0rdksTvx0Je7AQBzx/XA7LHFre5fML0vzuuTjRa7E8+tOhiDCOUnrNlwN9xwAxITEzFo0CCUlpYCAG6//XY8+eSTkgcYr7DRI3L3LbEMTST9SoBHbJmsjqj4vEjhswR4DdONQt9SfYSGlIzsKLp4ezyWIhN4+WnMOkB+scROwiXp1BGVz0T7gCid1mJZt3DFksbLXDFapbiqJgtsThfUKi5kuwNA6KsBgG1RFkv73LYBwZ6EY7DSV1lDS9R88BiNLXb8fqoBQPBi6exiQSwdqjKJhx5iwas/H8Xx2mbkpuhx95T2fUkatQoPXjwQAPDTwaqoGgVHi5DF0oIFC7Bz506sXbsWBoPnxTV58mR89NFHkgYXzyRHqcnbU4aL7AOclfF4Xv6YXe6yGRB5Riw9imKpUYLTcIBHLEXDxbsuQo8lRr67ubTJ6oBZ5mwpE5Hh9isxijKFmEuj5OJd5e6ziqR3hw1UjVbmo6xe2JvCdAM0YfQ8nuUWSztPNYjZQLnheV4so/ULsrmbkZ6oQ6FbFO482Sh5bIHYeLQWLh7omZOEwvTgmrUzk3SiwPvteHQFKeNkXTOW/ngYAPD/Zg7wO4O0b14KBhSkwu7k8e2u8miGGBVCfnUsX74cL730EsaPH9+q5jpo0CAcOXJE0uDimWgZU0rhsQQAeo2npCV335LJ5gA7ZRppRozZBzREwT6gQbKeJVaGi0ZmKXKPJUB4PrPntNyluJoIPZYY0TamjDSzBAgfOED07ANOucVSlyA/vNvSMzsJ6YlaWB0u0VFbbmrNNjRZHeC48EqHY92jRH45HN25a6xf6bwgs0qMWJfi/vXVHlgdLoztmYVLhxUGXDtruHD/l9s73wDgkMVSdXU1cnNz291uNpujenRU6XiMKeX9EG+SYIguI1ojT5jA02tUERvDRbMMx1LLaQmRfYhHswwnNniH2SjtTV5qdEpxkcyF84b1LJ2KUs9SldizFH7c4om4KGWW2N6Ea4KpUnE4y923tDVKpTh2eq8wLSGs94/z3CNGfjlYI2lcHfHrEcEyYFzIYikLALD5eK3kMXVEyd5KrNlfBa2aw6OzBnX4GX/p8EJwHLD5eF3UXnfRImSxNGrUKHz77bfi12zzXn/9dYwdO1a6yOIcMbMUpTKcv9RoKERr5IkUJ+EY6VE0ppQusxS9Mly9mFmKXCyJ9gEyZ5bYvmRLmFmKhmFelXgaLvzMEjsRd7jKFJXeQZZZ6poRvodPtPuWjtWENvS3LaxfaG+5MWozGhuabaIRJutDCpbR7vV7TxujdlqZsWSN4Kd043k90Tu345JnQVoCxrgzYV/t7FzZpZDF0hNPPIEHHngAt956KxwOB1544QVMnToVb731Fh5//HE5YoxLWGbJGKUGbymOzUfLxVuKk3CMaI48aZToZFlWVMtwkQ3R9YaVl8plzizVRDgXjtElIwEcBzTbnKLJpVxYHU5RmEaSWeqe6TkRx4SMnHjEUvjjVc4ST8TVRUWUssxSuLYbOSl6sTGclcbkZsfJBgBAj+ykkA1L89MM6J6VCBcP/Li/SobofFNa24xdZY1QqzjcOL5H0I+b5bY4iGUpzmixo9nmkPT5GLJYGj9+PHbu3AmHw4EhQ4Zg1apVyM3NxYYNGzBy5EjJAot3xJEnMvcsNUnkswR4ZZZk/utFqpNwgKe8JHdmied5MbMUaZaGZZaqo1GGk6jBG/DYB8jttRTpXDiGXqMWY5a7b4mV4HQalfg6CgfvE3HR6FvylOHCzywNK0qDWsWh0mjF6SiclgzXF8obsRR3KDpiaVtpAwBghJ/BuR3xhxFdAQBvrDsWtbEirEn7nJ6ZIR22uGhIAXRqFQ5UNol+WNGiyWLHre9uxdB/rcLAh75HzwdWYNBDK3HJi+uw5XhkPV8hiSW73Y6//OUv4DgOr732GjZv3oy9e/fi3XffxZAhQyIKJFiWLl2K4uJiGAwGjBkzBps3bw64/pNPPkH//v1hMBgwZMgQrFixotX9PM/joYceQkFBARISEjB58mQcOnQo4jjZabh4KsOxTI/8mSXpsmGeBm95MwdNVgec7rJIJB+GgKe81GRxwOpwRhxbIMQG76TI99rj4h2lzFKEPUtA9AbqspNwuSnhuXd7IzZ5y2wf4HLxON0g/C4jEUuJOo2YqYlG31K4s+y8Oa9PDgDgl0PVUREf20uFfRnhLlmGyp/O6Qa9RoXfTzVG7VTcCrdYmjEkNEfutAQtJvYX+pqX7yiTPC5/HK4yYdbS9fhud4V4G88DZpsTu8oaceV/N+CRr/eixRbee25IYkmr1eKzzz4L6xtJwUcffYT58+fj4YcfxrZt2zBs2DBMmzYNVVW+U5O//vorrr32Wtxwww3Yvn07Zs2ahVmzZmH37t3imqeffhpLlizBK6+8gk2bNiEpKQnTpk2DxRLZB0JK1E7DMeEhYWZJ5vlwjVJmlqLU4M1KcAZt5E3paQlaaNXCB6qcfUsuFy/uixQ9S9Fy8WYls0h7loDoDdStkuAkHCNaTd7VJqvosRTO4F9votW3xPM8jtW4y3ARiKVRxRnQa1SoNFplH6rrcvFiGS7czFJWsh5/OEvILr3+y1GJIvMPK8GpOGDaoPyQHz9rhHAq7qsdp6PSe7dqTwVmLV2PI9Vm5Kca8Plt47D3kWn47f9Nxpp7LsCVI7uC54E31x/DRS/8jDX7KuFwhmZ1EfIn7KxZs7B8+XLcfffdoT40Yp5//nncdNNNmDt3LgDglVdewbfffos333wT999/f7v1L7zwAqZPn4777rsPAPDoo4+ipKQEL730El555RXwPI/Fixfjn//8Jy677DIAwDvvvIO8vDwsX74c11xzTUjxmc1mqNXCB6lOJajXepMFZrN8U7kb3YNSdXBE/H0Mbg1Q09QsWcx2ux0Wi7AHWq0gjmqNwrUTNYg8Zvc+15mssu5zeZ3wV36aQSPJ98lM1KKyyYZTNY1I0wovWl97FQmNLXaw9ykdb4fZHFkWK00nXKy8sUXWvWZjQ5JULr/fJ9i9yk8W3uKOVhlljflkjVBuyExQR/x9uqUJP8/+8kZZX4eHTgs+Q3kpOlgtLYikKDw4XxClvx2rkXWf65tt4gngbAMf0fca2S0Nvx6tx+o9ZShMLhJvl/p1eLjajCaLAwlaFYpSVWHHfO1ZefhgcylK9lZi78lqdM8MvwzZEcu3CWbTZ3dPRwLngNns+w9of3s1uigJKXo1yhstWL37FM7tFVpTeyh8vO00Fn4ruIaP6paG564YhOxkHXi7FYkqIDGRw79m9Makvhl4+JsDOF7bjBuWbUFmohZTB+bggu7BZVVDFkt9+vTBI488gvXr12PkyJFISmqt7uUapGuz2bB161YsWLBAvE2lUmHy5MnYsGGDz8ds2LAB8+fPb3XbtGnTsHz5cgDCzLuKigpMnjxZvD8tLQ1jxozBhg0b/Iolq9UKq9Xz1mI0Cm+UhYUeD4rE/uORc9n9WLlmLZJvlO+UYNc7PoA6IQUXjBsDR92piK6VcvYsZE68EW8sex9PXfmsRBG2J2PSTUgddRlefekFPH3VsoiupUkvQJe/voZTVfVITg48mDISDMXDkXf1Yzh55ACSk6dGfL38OYuhz++NC6ZdAsvRLRJE2B62Ny5rMzLTI5/VpE7ORNe/vYPKxhYkp6QCvAwmhCo1ut/3JQDgrEF94GqJrOchaeAEZF9yL97/chX+fe0oKSL0Sfr5s5E29ip89u6beH3uqxFdS5NRiC43v4o9J2vl22cAiQMuQM6l9+Hori1ITp4S0bXUKdnoetvb2F3WiJSMLPB2efrxdIX9UPB/z8FhrEZ2RlpE10o5+3JkTrwBD7/8IW6btFCiCNuTPHQKsi66E/VHdiI9dUZE18r548NI7HU2xv/lIdSvfkWiCNuTP/t56Av6YsV/H0fyrd+FdY2MyX9F6shLMOf5z1HxznxZnseJ/ccj+9K/g+NUMG79Bp898xo++5v/Pwo5XSLSx1+HpEEXog5p+HDLaby/Prisc8hi6Y033kB6ejq2bt2KrVu3tg6E42QTSzU1NXA6ncjLaz2sMS8vD/v37/f5mIqKCp/rKyoqxPvZbf7W+GLRokVYuDDwi8tlFX4BnC78XoCO4aDSC39d8NbI/5pzWYRrqAzyiQ4AUOkFge2yRp7+Zh+mKn0ioNYATnlKiCqD0EfiskiTsnc1NwAA1EnpklzPF6oEFrM0vS9OcwN4lxOcSg11UgacJul9X9QJgqjjXU5J9trRKLyONenyDnlVJwt/OTtNkRsHOhoq4LJbodLqoUnLhaPB/3tRJGjShL4SR2NlxNdyNtXAYayGJjUHuvy+sJ7cFfE1faFNF/pnHPWRO0Rbjm8HABiKhsj63qEr7A8AsJb5/pwKhabNXyCx19lIHjIZjevelez9yBtNWh70BX3Bu5xoPvhr2NdpXP8BkgddCH1+byQPmQTT7yUSRgkYepyF7IvvAcep0LR9RVDikbc1o/6H11G/9i0Yug9D0oDzYeg+LKjvF5JY4nkea9euRW5uLhIS5BQBymbBggWtMlZGoxFFRUU4ceIEUlOFN/sdp4z487u70Lv/YOyrl6eOb7I6MP7fmwAAp44diriX5ocDtZj/xX6MOf9CvPPanVKECLvdjh9++AETJ04U07R3fbYPaw/V4blFj+GPI16P6Pounseop3+FiwcOHDsV9sT3jvh4WzmeWHUUMyZfgOf/E/nv88FvDuHr3VV49Ol/Y+45Qi+Cr72KhF+O1OH2T/ZhSN+e2C3Rc3Dq0t9Q1WTDj5u2Y0hhaKMmguFApRlXv7UD2SkG7KzzL8aC3asakw2TX/oNuvQ8VNXUQhvGSI9guOXDPdh4vAEvPvM4Lh3yWsTXu/rNHThQZcYnq9ZhQp+siK/na78e+e4wPt9ZiXtumYtb33s44u/x9+X7sWp/LR575T3cOK6o4weEwX9+KcWr60/iukun4KGXb43oWjzPY/JLv6EWwKqth3F2dyFTJfXr8IrXt+NITTPefOZBXNh3ccQxX/3WThysAp75fAP+MrZrxPG15e1Np7D4xxMYXZyJnWXHA67taK/+t7kMz/1wHH2uuBdfrXpf9B+MlJ1lRvz1wz2w2F2YNiAbT/z9MahV4VkX1dQ3oM/LHa8LWSz16dMHe/bsQZ8+7YfpyUl2djbUajUqK1v/FVRZWYn8fN8NaPn5+QHXs/9XVlaioKCg1Zrhw4f7jUWv10Ovb/+hnJ6eLoqlAosgXJrtLqSnpwf+4cKk2T2ZXKdWIS87M+JTOPnZwl9WZpt0MdvtdhgMBqSnp4svJtY/npeZKsn3SU/Uoc5sg0ubgHQJyk2+sPLCaITctCRJYi7MTAZQBZNDJV7P115Fgp0T/urMTk2Q7PdZmJ6IqiYbzC6NLM9rW7XQSJ+TYgh4/WD3Ki2Nh0GrgsXugpnXozg9/KbgQNS3CKn/HvkZkuzLgMI0HKgyo8zES3I9X/tV3SzE3LtAmpjP6Z2HVftrsaeyRbb3vErzMQBA30JpYj6/by6+2F6G7eUtmDKsOwBpX4dGix1H3VYH4wd0RboEf8zdMqE35n+8E29vKkN+ZiquGtU1rLl+/vjxkHAA6tKzijrc44726q8TU/HF79U4WmPG/7ZWY8GMAWHHxfM8tpyox6dbTuGrnadhsbtwft8cvHj9KOg04f/8KlVwjw3pO6hUKvTp0we1tdG3XdfpdBg5ciTWrFkj3uZyubBmzRq/zuFjx45ttR4ASkpKxPU9evRAfn5+qzVGoxGbNm2K2I08JQqDdI1eHktSjJrx+CzJbXfgaPX9IkV08TbLZ3nAPJbSJDB3BKIz8qReNNGM/FQZg52akss+wGMbIE3MHMdFZUZcZZN0p+EAj5P3IRm9lsokMKT0hs0w+/VIrWz2I1J4LHnD/JZ+PCCPhcDOkw3geWGocyQDlr25eGghBndJhdHiwANf7MK0xT+jZG+lJPGfrGvGzlPCKbjpYZyCa4tOo8KDFw8EIJxEYycZ/VHVZMHK3RVYtGIfbly2BTe/swW3vbcVt3+wHRc+uxZXvrIBH205iRa7E2N6ZOKVP50VkVAKhZBzYk8++STuu+8+vPzyyxg8eLAcMfll/vz5mDNnDkaNGoXRo0dj8eLFMJvN4um42bNno0uXLli0aBEA4M4778QFF1yA5557DjNnzsSHH36ILVu24NVXhQZMjuNw11134bHHHkOfPn3Qo0cPPPjggygsLMSsWbMiipX5LNmcLlgdTug1kZXIfMGO+EvhsQREfzacFNYBADsWb5bVa4n5FaVHOBeOkZ0iXEdO6wAp3bsZnpEn8og80ZAyQvdub4oyEnGw0oSTMs2qsjqc4vNDqjJw/3xBLO0qa5Tkem1xuXicaoh81Ik3gwpT0TcvGQcrTfhq52n83zndJbmuN1J4LHlzft8c6DQq7Cs34vNtZbhipLRlre1uM0rmci4FOo0Kn996Lt7bdAJL1hzCkWozbnpnCy7om4NnrxwWkShj3kqje2RKJu4u7J+LC/rm4KeD1bj/s99x8/k90TcvBV0zElBtsmLDkVqsP1yDDUdrcbIusGt9ok6NmUMK8MeRXTG6R+TVlFAIWSzNnj0bzc3NGDZsGHQ6Xbvepbo6+SYjX3311aiursZDDz2EiooKDB8+HCtXrhQbtEtLS1ul1MaNG4f3338f//znP/HAAw+gT58+WL58eSuR9/e//x1msxk333wzGhoaMH78eKxcuRIGQ2R/ISbpPFtrsjigT5ZDLEk3NgTwZE1sDhcsdmfEPVD+kHLcCeARA3K6eDOLhkhHnTCYGJAzs1Rnls69m8Gm08slPGrEuXASiiWZM0tSuXd7wz5cj1SbUWe2hTwioyNqTFbYHC6oOI8AjhSO43DVqCI89u0+fPzbScnFUkOzTRSl4c6Fa0t2sh53Te6Dp1cewCPf7MV5fbORYZDufW8bM6MM01/JHzqNCnPP7YErRnbFK2uP4PV1x/DTwWpc9MIveP6qYTi/b07I1+R5Hp9vE0wkLxlW2MHq0Hjw4gFYv7gGm47VYdMxQSMkaNVosbc+ucZxQL+8FIzoloGBhalQcYDTxcPu5JGdrMPkAXlIkqjvKVRC/q6LFy+WIYzgmTdvHubNm+fzvrVr17a77corr8SVV17p93ocx+GRRx7BI488IlWIAAC1ikOSTg2zzQmT1SGJG3FbmqzSZmiSdRpwnOB6arTYZRFLLhcvGnVKFXd6FIwpPZklqctw8secKWFmic3jOlYtj5dOrcRlOMBjTHm8gxJAuFSJJbjI3bsZGUk69MlNxqEqE7Ycr8NUCUoi3px0l+AK0hIkbXr/w1ld8dTK/dhV1oi9p40YWChdDyErweWl6pGok+4D8+bzemLFrnLsLjPiweW78eLVQyW5Ls/znsxSmM7dHZFq0OLv0/tj1oguuP397ThQ2YTZb27GX8/viXun9Qvpd7u7zIgDlU3Qa1S4eKi0Yql3bgremns2PtlyCgcrm3Ck2iQKpYEFqTi3dxbG9c7GyO4Zkkx2kIOQn3Fz5syRI45OSYpBC7PNKVvfkqcMJ80bh0rFIdWgRWOLHcYWe0TT0/3RZHWAldalijsaI0+k71kSxECd2Qqni4daJX06WXTvljAr0SPbLTxqzeB5XvI0OMu0SeHezRDHh8jkiM0yS1K/XkYVZwpi6US95GKJzYTrIlEJjpGZpMOUgXlYsasCH285iX9dOkiya0tdgmNo1Co8fcUwXPrSOny/pxIr90RupQAAR2vMaGyxQ69RoX++PAdPGH3zUvDlvHPx+Lf78L+NJ/Dfn4/iZH0zXrz2rKDfWz7dehKA4NgtVYbUm/P65IhjZuxOF07UNiMzSSd51lQuwvqTwul04rPPPsNjjz2Gxx57DF988QWcTnlnXMUjyTI3eXvKcNI9sdlA3kaZRp6wmA1alWR9XJ7MkowN3mwgrUQ9S5lJOnAc4OLly4jJ0eBdlJkIFQc025yobpK+hMhGnUjZs9Q3X/ANO15rhsUu/ftUpdGTWZKS0T2EbMRvEQ4A9cWpemn7lby5apRgG/DF9jJJ9/t4jSDwekgslgBgYGEqbruwNwDgX9/sg0mCtxKWVRraNS0qTcgGrRqPzhqMl68/Czq1Cit2VWDh13uCavy2Opz4cudpAMAfJe7b8oVWrULv3OS4EUpAGGLp8OHDGDBgAGbPno3PP/8cn3/+Of70pz9h0KBBOHLkiBwxxi3JMs+Ha5K4nAV4z4eTR3h4+pWki5nNPZMrs8TzvKQDaQHhr1kWt1xN3nI0eOs1ajEb0dHJlnAQG7wlzCzlJOuRmaQDz8szb62ySabMUnfhdNmuU41hD//0xymJT8J5c16fHBSmGdDYYseqvdJkaQBB7AJA92x5xnzMu7A3+uYlo85sxxsH1BH3E/7m7s0ZIWFzdzBcNKQAz189DBwHvLPhBF764XCHj/lhXxUamu3ITzXg3N7ZUYgy/ghZLN1xxx3o1asXTp48iW3btmHbtm0oLS1Fjx49ZHPvjldYmclklUl4SNzgLVyL2QfIFbP0Ak/uBm+zzQmHe8iaVJklAMhy/1UlV5O3lEN0vWEDTKUWSzzPe5XhpMvScByHfu5S3P6KyMan+EIsw0mcWeqakYD8VAMcXoNYpaJM4pNw3qhVnJid+Pi3k5Jdl4mlSAboBkKnUeG5K4cjSa/G0SYOs17eiO2l4Zm5Ol08Vu8ThOL5fUJvto6Ui4cW4mH3kf3nSg7iw82lAdd/ulUYlfWHs7rI0hLQGQhZLP300094+umnkZnpGYyXlZWFJ598Ej/99JOkwcU7YmZJrjKcW9BIZR0AeDJLctkHSH0SDpC/wZtlaHQaFQxa6dLpcnottdicsNiFWUxSneBj9GBN3rXSiiWT1QGrQ4hZyswSAPRzH8U/UCG9b5HY4C1xZonjOIwqFrISWyQuxbGeJTnEEgBc6S7FrTtcg5MSnUI84W7wluoknC+GdE3DZ389B3kJPCqNVlz93434oAOh4Ystx+tQa7YhLUGLMT3lGyIbiD+f2wN/u7AXAOCBL3bhyx1lPtdVNVmw9qBguiu1dUJnIuR3fr1ej6am9m84JpMJOl381B+jAcssyWXy6MnSyJBZkkssSeyxBHhKYw0yZZa8T8JJ2dCc7fYxkaP3hwlHjYqTbMQAg4klqU+XsRJcok4t6WknwONbdEAGk0fWsyR1ZgnwGD3+dkK6kUk8z3sMKdPlER5FmYk4t7cwpuWt9ccjvl5ji120wpArs8TolZOE+YOdmDIgFzanCws+34UX1xwK6Ror9wjz/CYPyJNtxE4w3Du1H64dXQQXD9z10Q58vKV9pu/L7afhdPE4q1s6euXIOxc0ngn5t3jxxRfj5ptvxqZNm8DzPHiex8aNG3HLLbfg0ksvlSPGuCVZL3yIy9azJEP/DzvtJV9myS3wZOpZcrmkd+FleyF1hoYZGFbJKJYyknSSn1grFsWStL5FtWbpbQMYffNZGU6OzJIQt1Tu3d6wvqVtJ+rhlOi5XW2ywiqxx5IvbhjfAwDw1q/H8OuRmoiuxU7C5aToo+KzY9AAL10zDHdP7gtAKGW9vym4DBPP8/h+tyCWpg2Sd4BzR3Ach8dnDcF1Y7qB54G/f/o73t14Qrzf5eLFEtwfR8ozz6+zELJYWrJkCXr16oWxY8fCYDDAYDDg3HPPRe/evfHCCy/IEWPcwk7DyVeGk77/h5XHjDKfhpMyG8ZEjIuX5+Sh1O7djEK3wSPrH5ESsSFdYoEHeE4jHa81SypO5TCkZDD7gOomq5ihkAKL3ePeLXUZDhDKhyl6DUxWB/aVS9NvxZq781MNsp7Smtg/D9ecXQSeB+Z/tBP1Eey71GNOgkGl4nDn5D6Y5z4l98/lu7Byd3mHj9tV1ojTjRYkaNVhmUNKjUrF4fFZgzH33GIAwD+X78at727F5f9Zj8H/+l70Vpo5tCDwhc5wQn6lpKen48svv8TBgwfx6aef4tNPP8WBAwfwxRdfIC0tTY4Y45YUmU/DMeEhlV8REM2eJWlPaCXqBBsCOfqW2DWl8lhidEkXPlxPyyCWWMxS2gYwumYkQKPiYHW4UG6UbkacOBdOQtsARrJeg6JMQZxK2bfESqg6jUrSPwAYahUnGhpK1bck50m4tjx0yUD0zE5ChdGC+z//Pez5ZSdq5PFYCoZ7pvYVS1l3fLADG44Eno260p1VurB/jmxTEEKF4zg8dPFA3HKB0MP03e4KbC9tQLPNCZ1GhVsn9JLFW6kzEfaru3fv3ujdu7eUsXQ6PD5L0gsPnufFLIq0PkvxdxoOEEpxzbYW1DfbUAxp31CZcJQ6S8MyS/KIJfkySxq1Ct0yE3G0xozjNWZxBEqk1IqZJXl6H/vlpeJkXQsOVBgxtleWJNeUw727LaN7ZOKng9X47UQ9/nxuj4ivVyajx1JbEnUaLLl2BC7/z3p8v6cS728uxfVjQh+Dwg4TsH65aMJxHB69bDDqzDZ8v6cSN72zBe/fNAZDu6b7XP/9HlaCk9ZINFI4jsM/pvdDz+wklNY1o19+CgYUpKA4KwmaGPZVxQsh79AVV1yBp556qt3tTz/9dMCxImciKTKaUlodLticwskhSctwcZhZAjylODmavBtkytIwkVHVJMzpkpIGszy2AQxx7ImETd5yjDrxRo4m70q3bYAcJTjGKHdm6bdjdZJMlpf7JFxbBndJwz+m9wcAPPrN3rCeM3tPCyXIWDUga9QqvHDNCJzTMxMmqwOz39zs04bicFUTjlSboVOrMLF/bgwiDQzHcbjq7CLcO60fLhlWiN65KSSUgiTkXfr5558xY8aMdrdfdNFF+PnnnyUJqrMgpyklK8GpOCBJJ12qV36fJel7lgCPKJCjDMcEmNRp6swkHfQaFXjec6JKKuRw7/aGnUiS8kRcjVm+niXAYx8gZZO3nCfhGMOK0qFVc6hqsnY4lT0YolmGY/zl3B4Y3zsbFrsrKJNEb8xWBw66Be6IbukyRBccBq0ar885G8OL0tHQbMefXt+EI9WtTU5ZCe7c3lmSWroQsSdkseTPIkCr1cJolN7wLZ7xmFLKIJa8PJakTP+LPUsyHcOX4zQc4MlGyOGG3SDTaTiO48TsktRN3vUyuHd7w2bESZlZqmlimSV5xdLBiibJGtOrZHLv9sagVWNIF6EfdLMEfUvM3LFrZnQyS4DQZHzvtH4AgC93lIX0fN9V1ggXDxSkGWQ5cRgKyXoNlv1lNAYVpqLGZMP1r7UWTMwyYPpgZZXgiMgJWSwNGTIEH330UbvbP/zwQwwcOFCSoDoLonWADGU4z0k4aTM07HpNVocsx/Dl8FkCvI/hS5uhATzCUerTcIB8fUtyDNH1pke2UA6R0piSzYXLli3mJGjVHMw2p2TiNBqZJQAY10sYQbF8u29jwWCx2J0odZtE9slNiTiuUBhelI5xvbLgcPF4/ZejQT+OuZcPL0qXJ7AQSUvQ4n83jEGf3GRUGC2Y9NxPGPqv7zFzyS/YXWaEihP8lYjORchi6cEHH8Sjjz6KOXPmYNmyZVi2bBlmz56Nxx9/HA8++KAcMcYtcvYsyTFE1/t6PO+ZPSclcoxoATx/2cvpWSR1ZgkACmU6Eedp8JarZ0nILJ2sa4bDKU2/ladnSR7hoVWrxJ4XqU7EVUWhZwkArhldBLWKw7rDNRFZCByraQbPC89luRrpA3HrBOE01oebTwZt4bDDPZBWKWIJEEro7904RiwLGi0O7HH3VY3tlSXbc5iIHSF/Yl1yySVYvnw5nnjiCXz66adISEjA0KFDsXr1alxwwQVyxBi3sNNwNqcLVocTeo10vUWNMtgGAELKX69Rwepwwdhil7RPx+niZRn+C3j+smcfXlIiVxkOkM9rSY4hut4UpiVAp1HB5nDhdIMF3SL0v7E6nKLAy0mR74Omf34K9lc04UBlEyYPjPyvf89pOHnFUteMREwfnI9vfy/Hm+uO4Zkrh4V1ncPuklHvnGTZTu8FYnzvbAzukordZUa8/etxzJ/St8PHKC2zxMhNNeCL285Fi03I1p2oNaOqyarIxm4icsJqg585cybWr18Ps9mMmpoa/PDDDySUfJDkNbJB6lJcg4yZA7m8lrz3QGqRlyNTGY7neU8ZToa99ogliRu8zfL5LAFCD0r3TEEgHa0xdbC6YyoahZ9fr1HJJvAAoF9+KgBpmry9x4bI6YTNuNHtiP3ljtNhP88PVwll0z55sTlVxnEcbpsgWM4s+/U4zB1krysaLagwWqBWcRjSVZk+fgk6Nfrlp2DqoHz86Zzu4mua6FyEfWZw69atePfdd/Huu+9i+/btUsbUaVCrOPGkmtRN3g0yfoDL5bXErmfQqiTNsgHyjQ5psTtFi4Z0GUzbusjQs+RwusSeNjmFh5Qz4k67xWJheoKsGQ/RPsDHse9QqW+2w2xzAojOMfwR3TIwsnsGbE4X3t1wouMH+IA1I/eOcr+SN9MG5aNHdhIaW+wdDqndcVKYidc3L0XyeYEEEQohi6WqqipMnDgRZ599Nu644w7ccccdGDlyJCZNmoTq6mo5YoxrkmXqW5LztBMTBVJ7FjXK1GcFADnunpEmiwMWu1Oy67I90Ko50SVcSrwbvKXw0AE8/UocJ73dgTeiWKqNfEZceaMgFgtkztCwGXFHq80Re1uxRun8VEPUnJpZdul/G0+E9Tw/XC0I2965sRuYqlZx+Ov5PQEAr/9yLODvYbtCS3DEmUfIYun2229HU1MT9uzZg7q6OtTV1WH37t0wGo2444475IgxrmEnqKQWHp6eFOkzS55j+NJmaeQ6CQcIDeN695wrKfuW6rzKWXJkPJg4aLY50SjRPD5WoslK0stqOCelMWW5uwxXkCZvhqYwzYAUgwYOFx9x+ZCJpW6Z0fMrmjooH0WZCahvtuPzbaGdjHO6gBO17CRcbKfLX35WF+Sm6FFhtGD5Dv8/B2vuHkFiiYgxIb+Trly5Ev/5z38wYMAA8baBAwdi6dKl+O677yQNrjOQkSQIgzqJzRI9poPSCw9mClgtsWcR24NMGY6GcxwnNnlXm6Tr/6l2C8YcmU63GLRq8VTS6UZpSnHVovePvCdyir0G6kYKK0Oy04FywXEc+rmH6jJX6HA56RZL0fQrUqs4/HmckF16c/2xkOw9qi2Aw8UjSaeWPYPXEXqNGjeeJ/wcr/x0xOfP4XTx2FXWCAAYHkMzSoIAwhBLLpcLWm37D2itVguXS9qRDZ0BJgwimbjtC7lGcAAesVQjcWaJ7UGmTE3Hon2AhJklZpSYLaPwYKW4comavFnflpynygBPGe5kXXPEJa2KKGWWAGBksTA+hLkth0tpbfQzSwBw1aiuSNFrcLjKhLUHq4J+XEWLkBntnRubk3BtuXZ0N6QaNDhabcaqvZXt7j9Y2YRmmxPJek3MxpwQBCPkjrmJEyfizjvvxAcffIDCwkIAQFlZGe6++25MmjRJ8gDjCZvNBputtShK1Qu9DDVNLe3uiwRWHkrWcpJeFwDSE4SYq42WiK9tt9vhdDphs9lQbRSyB2kJasljBoBsdxbvdINZsutXNAgfiJmJGlliBoD8VD1+B1BaZ0K2e68i6V9iMWclaWWLGQAyDBwStCq02F04WtWInhEMOS1zx5ydFNxzw/t5FepeXTokD//96Sh+2F+FinpT2JnOE+6MWmGqTtZ9boteBVw9qgteX38Cr6w9gvE9Mzp8jN1uR4VZ2Kee2YlRjdcfehVw/egivPzzMSz98RAu7JPRSsRtOVYDABhcmAqnww7pOhEDE8lz60yjM+xVsK8Fjg/xJzx58iQuvfRS7NmzB0VFReJtgwcPxldffYWuXbuGHm2cYzQakZaWhvvvvx8GQ+v09lZ7IX53FGKAuhLn6E5K9j3faxkOGzS4XL8b6Sppj50fd6bjR1tv5KpMmKnfL9l1N9qKsM+Zh6GacozURuZEHK3rb7IVYa8zD4M1FThbe0qSa8r9PeTeZ2++tAxEHZ+IibrD6K5uCPs677cMhxUaXKbfg0yVtJ5TvvjaMgA1fBJGa0sxSBN8dsabTyxDYOL1mKHbjzx15PYJoWDmtfjUMgQuqHCxfh9yVB2XQn+y9cBRZxZGak5hqDayrJpUtPAafGIZCidUmKY7gEK1x9Jhna07DjlzovI8Js5cLBYLnnzySTQ2NiI1NdXvupAzS0VFRdi2bRtWr16N/fuFD9IBAwZg8uTJ4UfbiTFwQtOuJfSt9ouLB2zu67HrS4kBwjVbeGmP6lpljBkAEjihj6uFl66Pi/3eEiDPrDwASFbZACdg5qUpT7ZA+PnZfshJrsqEOmciTjnTwhZLDl4lPjeSuOhkPHpralBjT8JhR3ZYYsnFc+LvK0UlvRFqRyRxdvRS1+GQMxu77HmYqO94fEiDSyhxpkdBjAZLAudAX3U19jnzsMuR30osVbuETGV2EEKQIOQm5MzSO++8g6uvvhp6fet+CJvNhg8//BCzZ8+WNMB4gGWWqqur2ynT5TtO4++f78G5vTLx1pyRkny/OrMN5zz1EwBg78OTJD/xdKzGjGlLfkWSXo3t/29iRNey2+34/vvvMW3aNNz03u/49WgdnrliMC4bViBRtB4+3VaGB5bvxXm9s/DG7LMkuebst7Zi4zH5YgaA7/dU4vaPfsfwrqmYXViNadOm+ewLDJZrX/8NW0sb8MJVQ3HRYHlnVK0/Uou5y7YhM0mL9fddALUq9F6YozVmTF/yK5J0amz7fxcG1U/j/bwKZ68amu0495mfYHfyWH7rORhYEJrvUGldMyYvXg+9RoXfH5wYkx6gw1UmzHhpAzgOWHn7OLGHzBcWqw1nPbEWDp5DyZ3nonuEjutScqq+BVNeWA+ni8fnt4zB4MJUmKwOjHziR/A8sP6+82Xvv/Mm0ufWmURn2Cuj0YicnBzpM0tz587F9OnTkZvb2tK9qakJc+fOPSPFEkOn00Gna50dyEkT3pQaWhzt7gsXU4Pw13eKQYPEBOlPtRRkCm/8ZqsTLk4dkYcMx3FQq9XQ6XRocB+Nz0lNkGwvvCnIED4sasx2ya7PTvDlpyfKEjMAdMsWPqjLjVaoi4S9iuSNhw2kLchIki1mxvi+eUhL0KLObMfvp00Y0zMr5GvUmIVTaQXpCe3+CPOH9/MqnL3K1ekwdWA+vt1Vji9/r8Dw7qHFXdEkxFyUmRh0zFIzsGsmJg/Ixep9VXh74yks+sMQv2tL61vg4DnoNCr0zEsLS9TKRc88HS4dVogvtpfhtvd3om9+CjQqDjwvmLZ2yYqugWakz60zic6wV8G+R4ackuB53udfUadOnUJamjLt6GMJO/kl5Wk4OT2WACBFr4HOna2S8kRcvYzWAYDnqHy1hCNPatz2CdkyDsbs4nZ/rmqyQoqZtFVRsg4AhOG0bML6d2GeLjsdJUPKtvxxlNBf+eWO0yGf5ouFx5Iv/nqBMJj2s22nAo5AOVwl9FT1zE5SlFBi3DqhF7RqDhVGC34+WI0f9gul0ZHdO25eJ4hoEHRmacSIEeA4DhzHYdKkSdBoPA91Op04duwYpk+fLkuQ8QwTNFL6LHkmysuj5DmOQ3ayDqcbLagx2dA1I/IPBJ7nxRN8cok8Zh1Qa7bB4XRFXJ50OF2iwJNTLGUl6cShtA0RPk3MVgea3SM4olW6mD44H59tO4Xv91Tg4UsGhlySYpYJhVGwDfDmvN7ZyE3Ro6rJih/2V2H64PygH6sUsTSqewbO6paObaUNWPbrcdw3rb/PdUfczt29csI/sSgnffNS8MM9E3C42oSaJiuqTVY0W524+uyiWIdGEABCEEuzZs0CAOzYsQPTpk1DcrLH90Kn06G4uBhXXHGF5AHGO8yU0mJ3ocXmRIIEIzPk9FhiZCXrcbrRIpmLd4vdCav7r3e5MktZSTqoVRycLh61ZlvEk+DrzDbwPKDi5IsZEMRpl/QEHKsxoz7C7WaGlEk6NZL00ZmldV6fbCTq1ChvtOD3U40YFqLbcoXbUqJAZkPKtmjUKlx+Vhf896ej+HTrqZDEEjOkLIqxWOI4Dn+9oBf++r+teGfDCdx0Xk+f7wvimBOFiiVA2MtY7ydB+CPod9OHH34YAFBcXIyrr7663RF5wjfJeg20ag52J4/6ZhsSdJH/9dwgc2YJgOgqLVUZjmXDdBqVLDPWAEClEjJilUYrqozWiMUSc+/OdIswOSlMNwhiyRbZ94mWIaU3Bq0aF/bLxbe7yrFyT0XIYokN0Y2Fq/SVI7vivz8dxY8HqlBltCA3yOcMyywVRWGAbkdMGZCH/vkp2F/RhCVrDuOhSwa2W+MZoEvmjgQRDiHXKebMmUNCKQQ4jvOU4iTqW6qPQmbJ4+ItUcxmQSxlyjRjjSG6eEvQtxSNfiUGK0FJlVli+xAtprmzMit3V4RsTucZoht94dE7NwWjumfA6eKxbMPxoB93st5dhlPAqTKVisP/mymMn/rfxuPtZvXxPI8jVcouwxGE0gk5T69SqQJ+2Dmd0fJZVR6+HLwBYX5bVZNVzAgFcgzlOK7VqQJfa2vds8+YOzjDbrf7/aBqe92O1mZ5jTwJtBZofZqg7Vrm8FplFD5cMrzKWQ6HI+CIHO/rdrRWq9UK8+HcGZXT9f5dvNnajq5b0SB8wDCx5HQ6Az6/va/b0VqNRgOVSiWuzUtxDy+2oJ0bbtu1ga5b6S5p5aToQ4rB5XLB4fDvf6VWq6FWq/2uHd8jHVo1h2M1Zuwvb8SAwvSgr8t6lvJT9QFfG94x8Dwf0Dm47Vq73b/n1A3ndseWE/X434YTuOWCXtCr/D/XVSoVzHZefC3nJfl3dlepVK16OwP9bKGs9fUeMaZ7Gi7ok42fDtXgiW/3Yum1w8S11WYHzDYnVByPwlT/ru6hvkcEuxYI/B4RaK0c7xEdrW0bXyjXlfM9ItZrfb2WvR28VSpVwPcIbzp6P5FibUeve++1wRCyWPr8889biSW73Y7t27dj2bJlWLhwYaiX61Q899xzPrNudtVwABqxyfvZZ5/1+0vs3r07/vznP4tfv/DCC2hubm61ZqO1J4BM7N+1FfBq6Fy6dCkaGxt9XjcnJwe33Xab+PVrr72G6upqn2vT0tKQPfJSAEJ25e2338bp06d9rk1MTMR9990nfv3ee+/hxIkT7dYd2V4GoCcykzxvsB9//DEOHTrk87qAp/QLAF988QX27t3rd+2CBQug0+nE8tPnK1bjaEm5z7X33nsvkpKEv7C///57bNmyxee6XfY8AEViSXLNmjXYsGGD3xhuvfVW0VLjl19+wU8//eR37Y033oguXboAADZu3Ijt67cD6IGTtSY8++yzrdbOmTMHxcXFAICtW7cGHFjd0mcKAEEs7dq1C19++aXftX/84x8xaNAgAMC+ffvw6aef+l172WWXYfjw4QCAw4cP44MPPmi3Jo/vjVNIx1sl2/H0nAsBAKWlpVi2bJnf6467YBKarMKbH9fSgEWL3vK79oILLsCECRMAADU1Ndi1axd27drlc+3YsWMxdepUAEBjYyNeeOEFv9c9a+Qo9MxOwtEaM/63/giq133kd+2wYcPQ+2zhZ8tK0mHJ88/4XTtw4EBceeWV4teLFi3yu7ZPnz647rrrxK/DeY/IdBnAYRBK9lXhzsdeRL7ahMLCQvS7YBYAIMcAvP3G65K9R9x1113i11K8RwCCmHjggQfEr+V4jwCAb775Bjt37vS7dvDgweK/A71HAMCdd96J9PR0APK+R6xevdrv2lDeI6699lr07dsXACR7j9i1a1dQ7xGMiy66CKNHjwbQ8XvE5MmTce655wIAysvL8frrr/td6/0eUV1djZdfftnvWu/3iGAIWSyxRm9v2IZ+9NFHuOGGG0K9ZKcnSSP8lSKVfQBzO04M8BdwpLBsilQN3swJOzNJ3pIWyyw1S+DizZywo9H/k+x2ro7UxbuOeVml6AEZXcd9UayuxylXOjafDv55XmcR/mJPNWhk62XrCBUH3Hx+T9z/+S68s+kUpvEcVJz/19ZJ736l2mhF2THpKgv6qaux35mLzfYiXKLahwqrBls3lQIA8hLic3YXQSiBkB28/XH06FEMHToUJpM8M5Lq6upw++234+uvv4ZKpcIVV1yBF154odWpvLbrH374YaxatQqlpaXIycnBrFmz8Oijj7byg/JVUvzggw9wzTXXBB1bIAdvAHj463344LdTuGtyH9w1uW/EZbhLlm7AgUoT3pxzFiYO8LhKS1mG23S8EX96YxP65iXj23njIirDff/999iv64NX15ViztjuWHiZ8FebHCn2/208gQeX78bkATn4z7XDA67t6Lr3frYbX+0sx4KL+uOvF/SSNcV+uNKIaUt+hV7FY+sDE1r97KGkzW96dzt+OliDp/84FFeMKIxaGQ4QevLOfeZnOF08vrl9PAZ3SevwuuuO1OEvy7aif34KVtwxPugYbDYbvvnmG7/OwaGk41UqFRw8h/Oe/hHVTVY8/YdBmDW80O/aN389gSdW7Melwwrw7BWDfa5ja6NVhmPUmmyY8sJ6mKwO0RaBcVl3JxbNmdzq+wS67plchispKcHMmTOh1WqpDNdBGY45eBsMhrgsw7HPb8kdvH3R0tKCJUuWiClDObj++utRXl6OkpIS2O12zJ07FzfffDPef/99n+tPnz6N06dP49lnn8XAgQNx4sQJ3HLLLTh9+nS7VOJbb73VyiOKpVRDxZeDNwBkJQulOZZZCsVV2dfaRjF70Lq5NBQH1Y7WZqew03C2iK7LHF6NVuHNxrtnyd+bti+CXcsySzWm4Fy8A123zt2UzrJsodS4Q13bPUd4kVpdHCwuFZL9xN7RdauahOdYboo+pBhUKlXwTrZ+1ubrdLh4aAG+3HEaL/5wCP/9v1EdXrfSHW9BmiGkGEJxDuY4rsPragDMPbcYT688gDfWl+LKs7v77c30eCyF5pAejbUFmTrMm9gbT363H1VNVug1KkwakIuLBuXBcXwrtFpt0K9nKd9Pwl0rx3tER2uZn2A415XzPSLWa329Pr1fh97XkeL9JNK1wbzuQyFksZSRkdHqicTzPJqampCQkID33ntPssC82bdvH1auXInffvsNo0aNAgC8+OKLmDFjBp599lkUFrb/K3Dw4MH47LPPxK979eqFxx9/HH/605/gcDhavQDS09ORnx+8x0qoMIFQ1yxNWcRzGk4+64Asd7msvlkag0cmFOX0KwK8XbwjLx8y24TsKJThDFo1MpOEsSGn6luQnRreKavqGFgHeDPvwt74audpfL+nEvsrjOif7/8vNQAob3Q3d8fgJFxbrh/THUt/OIwDlU1Ye7AaF/bL9bmutE5ooo+1IaU/bhjfA1q1CplJWkwZmI9kvQZ2ux0rfLcJEQQRBCGLpcWLF7f6WqVSIScnB2PGjEFZWZlUcbViw4YNSE9PF4USIDR9qVQqbNq0CZdffnlQ12FptrZ/Kfztb3/DjTfeiJ49e+KWW27B3LlzA574s1qtsFo9H8ZGozAnym63+0z7peoFoVFrsgRMCwZDi81j7pik5SK+nj9SdBw4DuB5oKqxOewPXxYfs01I1atlixkAMhOEv26qmiyw2WwR2RQw4ZFuUMkaM6NPThI2mRuw6WgNBhUGFhm+cDhdqDW7vaES5N1nfxRnGjB9YB6+21OJJasP4oWrhwVcX1YvnDjMS9GFFC9bK+XPmKgBrjm7K95YfwIv/3gY43v6HrVRWivEXJgWWszRZPaYru5/8a3el5Qar5KgvQqezrBXwcYesliaM2dOq6+bmprwwQcf4OGHH8aWLVtksQ6oqKhoN7hXo9EgMzMTFRXBzaOqqanBo48+iptvvrnV7Y888ggmTpyIxMRErFq1CrfddhtMJhPuuOMOv9datGiRz5N/q1atQmJi+782D9dzANQorajFihUrgorXH4IPjwYqjsfPa1ZBzmHnSWo1TA4Oy1euQZcI7VlOVtUD4HBw93ZwJ+VrNBV0pAZ2J49Pv/oOSWEm31w8UGdWA+Cwc9M6HJc3IQYAKOCF58mnGw4i37g/5Mc32gCe14ADj40/rUGsRoANUQPfQYPvdldgmLoM+QESMLuOqACoUH38AFasCP1nLikpCT9QH3SzAmpOjc3H67HkwxXo3UazunjgZJ3wvDi0YyNq90n67WVH6v3qzNBeBU8871Xb0+b+CLtn6eeff8Ybb7yBzz77DIWFhfjDH/6Al156KaRr3H///XjqqacCrtm3L/J3I6PRiJkzZ2LgwIH417/+1eq+Bx98UPz3iBEjYDab8cwzzwQUSwsWLMD8+fNbXb+oqAhTp0712SDW9VQj/rt/E5yaBMyYcX5EP8u+8iZg2wZkJukxc+aEiK7VEUuP/IqDVSYMGDEG43uHPk0e8DRL2lV6ADZMnzAeAwrknSL+2K4fUd9sx7BzzkPfvPC+V43JCn7jT+A44MpLpkdchgyGfpVGLH9pI442qXHuhZOQlhCa0ttz2ghs3YicFAMunnmBTFEGx3b7DpTsq8Ievgh/mTHE77oXDq0D0Ixp54/G2J7BP8fY82rKlCmSTzs/oNmL9zefwubmHNxxzdmt7itvtMC58Wdo1RyuvewiRQ6l9YWc+9XZoL0Kns6wV6wy1BEhiaWKigq8/fbbeOONN2A0GnHVVVfBarVi+fLlGDiwvcV+R9xzzz2t/EJ80bNnT+Tn56OqqqrV7Q6HA3V1dR32GjU1NWH69OlISUnBF1980eEvdMyYMXj00UdhtVqh1/suPen1ep/3+WuezE0T/rSubw6tWdoXJpu7UTqx48bWSMlJ1eNglQmNFmdE38vFAw0tQqozNy1R/rhT9KhvtqOuJfy4GyxCX0pGog4Jhuj0//TKS0V+Ao+KFmD90XpcNjy0AxP1LZ4BurF+47pzcl+U7KvCN7vKcffUfuiR3T41yfM8yhuFsmFRVkpYMYfSsBws8yb2xadbT2PTsXpsKTVibC+PiDvtfmPtkp4Agz4K6UaJkWO/Oiu0V8ETz3sVbNxB/7l8ySWXoF+/fvj999+xePFinD59Gi+++GLYAQKCCVr//v0D/qfT6TB27Fg0NDRg69at4mN/+OEHuFwujBkzxu/1jUYjpk6dCp1Oh6+++iqoMS07duxARkaGX6EUDqwRmw3TjQQ2Y03O5m4Ga/KOdD6cxQk4XULpLSPculgIiCNPjOHHLTZ3J0f3A3FwprBPJXsrQ36sZ9RJbJq7vRncJQ0T++fCxQNLfzzsc01jix0tduH1EIu5cP4oTE8Qp93/e/XBVsfcSxUyQJcgiOgStFj67rvvcMMNN2DhwoWYOXNmSDbhkTJgwABMnz4dN910EzZv3oz169dj3rx5uOaaa8STcGVlZejfvz82b94MwCOUzGazmAmrqKhARUWF2Ff19ddf4/XXX8fu3btx+PBhvPzyy3jiiSdw++23Sxo/G6YLeE6yhUs05sIx2JH56gjFksndP5es10Cvkf95I56IiyBuj1iKrvAYkiFkDn86UA2bw7+3iy/YPLxYnYRryx2T+gAAvthehqPV7f3X2ADdzCQdDNrYGFL647YLe0GnVmHzsTpsOOJxnjxaLTR3K/UkHEEQ8hC0WFq3bh2ampowcuRIjBkzBi+99BJqamrkjK0V7733Hvr3749JkyZhxowZGD9+PF599VXxfrvdjgMHDojNWtu2bcOmTZuwa9cu9O7dGwUFBeJ/J0+eBCCk35YuXYqxY8di+PDh+O9//4vnn3++lYW+FEg5TLfBLZYyopFZcmdVaiMcpmt2e4hFI6sECOVDIMLMUlP0huh60y1ZyGY1WR3YfKwupMfG2jagLcOL0jGpfy6cLh6LV7cfWeEZoKucrBKjIC0B1472ZJfKG1twz8c78d+fjwAA+uT6NsMlCKJzEnTP0jnnnINzzjkHixcvxkcffYQ333wT8+fPh8vlQklJCYqKipCSIl/jbmZmpl8DSgAoLi5ulS6fMGFCh9PPp0+f3sqMUk4yEnWthumGCyvDZUQhs5STLE0ZzmwXsmqZUYgZ8CrDuTMt4RCrzJKKAyb2y8HHW8tQsrcC4/tkB/3YKrEMpxzxMX9qX6zZX4Wvfz+N2y7s1cp36bTbY0mJYgkAbruwNz747SR+O16PC55eC5tTyPRdNrwQ14zuFuPoCIKIJiEf8UlKSsJf/vIXrFu3Drt27cI999yDJ598Erm5ubj00kvliLFTwLIqdRGW4RrEnqUolOFSpMksmcTMUrTEkjuzFIExZbVoSBn9Jt5JAwSbjNX7qjoU/N4oLbMEAIMK0zBzSAF4Hnh+1cFW91WImaXYG1L6Ii/VgOvcosjmdOHs4gws/9u5eOGaEYorGxIEIS8RnYfu168fnn76aZw6dSrghGHC41wd6TDdqJbhJGrwdk8NiWJmKXIX7xpTbMpwADCuZyYMWhXKGloEq4ggqVJQg7c3d0/pAxUHrNpbiZ0nGwAALhePg5VCH1NBujIzSwBwz9S+uG1CL7zyp5H4+K9jMbwoPdYhEQQRAyQxj1Gr1Zg1axa++uorKS7XKUmXqGcpGqNOGGzMR63JFlKGoy1mh1CGi1pmKZWdhougDMeyNDEQSwatGuf1yQEQ/Kk4nucVmVkCgN65KZg1QrBBeHbVAfx6uAaXLl0n/mw9siJ0PJWRFIMWf5/eH9MH50fkBk8QRHwjv9MeAcCTVWmIozJcllvc2JwuGC3+Jz13BDsNJ/dcOAYTC2abE2ZreHGzMlyshMeUgXkAgJJ9wTnUm6wO8Ri+0sQSANw1qS80Kg6/HKrBda9vwu4yI5L1Gtw3rR+mDpJvLiNBEIQUkFiKElIN060Xy3DyCw+DVo0UvXAGIJJSnHgaLkpluGS9BsnuuJkvTii4XLyYAYxFGQ4AJvbPhUbFYXeZEav2dCyYWFYpWa9Boi5sY37Z6JaVKHoXaVQcZo/tjrX3TcDfLuwdNy7YBEGcuZBYihKZ7gbvSHqWXC4ejS3sNFx0juF7l+LCxcROw0UpswQAZ3UXhqD+cqg65MfWN9tEE82sKJtSMrKT9bj5/J4AgIe/2gNTBxkypfYrefPgxQOx6A9DsOru8/HIZYNjJkQJgiBChcRSlGBls0hMKZssDrg/w5EWJbHESnFSZJaiKZYu7Cf0/Py4P3SxxJq70xO10EZhJpw/bp/YB0WZCShvtODfJQcDrmWZpWwFiyWDVo1rR3dDzxzyKCIIIr4gsRQlWM9SJJklJrQSdeqoOGEDnjJURGJJ7FmK3uygC/sJx+9/O16HJktopc9YeSy1JUGnxqOXDQYAvLX+GHaXNfpdq9TmboIgiM4AiaUokSn2LEUulqLV+wN4ylA1YZbhHE4Xmp3u03BRjLs4Owk9s5PgcPFYfzg0p/lYzYXzxYR+ubhkWCFcPLDg811iebAt8VCGIwiCiFdILEUJKYbpNkRxiC4j0swS67HiOCAtIbpTqSe4s0s/7K8K6XFiSUshPTUPXjwAKQYNdpU14p0Nx32uocwSQRCEfJBYihJSDNONRWbJ0+Adnlhip//SDFpootz/c2F/d9/SgeqQfKJiaUjpi9wUA+6/qD8A4PmSgz5/F2y0i5JGnRAEQXQWSCxFCSmG6cYks5QUWRmO/azROr3nzegemUjQqlHdZMWe08agH1cTY48lX1xzdjcMKkxFk8WB50rajg2xiM7YhQqds0YQBBHPkFiKIhkRnohriKJ7N4NllsItw4mDf6N4Eo6h16hxbm9hEO3aA8GX4pTUs8RQqzg8fMkgAMCHm0uxr1wQfy4Xj3s+2QGjxYGhXdNwdo/MWIZJEATRKSGxFEXYMN36MI0pReERzQbvpMiG6dZHcZadL7xLccGilNNwbRndIxMzhxbAxQOPfL0XPM/jzfXHsP5wLRK0aiy+enhMrQ4IgiA6K/TOGkUiHabrmQsX/Z4lk9UBY4hH8AGg3u0bEE2PJW+YhcD20vqg9t3hdKGsvgWA8sQSACy4qD/0GhU2HK3FkjWH8fTKAwCAf148gPyLCIIgZILEUhSRqmcpmlmaFL0GPbOFQacle4Ib6upNrDNLhekJ6J+fAhcP/ByEm/eqvZWob7YjK0mHfvkpUYgwNLpmJIrO3v9efRA2pwuTB+TiutHdYhwZQRBE54XEUhTJiHCYbixOw3EcJ06MX76jLOTHx6J02BZmIfBjEBYCb68/DgC4bkw3GLTRMf4MlVsu6IW8VCHrlZ2sw5NXDAXH0Xw1giAIuSCxFEUiHaYbi9NwADBruCCW1h+uQaXREtJjY51ZAoShtADw7a5yrNnnPzu2u6wRm4/XQaPicP2Y7tEKL2SS9Bo8dcVQ9M9PwZJrRiiyXEgQBNGZILEURSIdptsQg54lQJgYP7J7Blw88PXO0yE9Npan4RhnF2dg5tAC2J08bn13G37Y71swLfv1OADgoiEFyFf4EfwJ/XKx8q7zMc592o8gCIKQDxJLUSQ9gp4lm8MFs9v5OxZZGlaK+2J7aKW4WPosMTiOw+Krh2PGkHzYnC7c8r9t7UpytSYrvnQLwbnnFscgSoIgCEKpkFiKIpkR9CyV1pkBADq1CqmG6AuPmUMKoFFx2HPaiEOVTUE9hud5MbOUGcOeJQDQqlV44ZoRuGiwIJj++r+t+HjLSbjcs9Y+2FwKm8OFYV3TMKIoPaaxEgRBEMqCxFIUYUNpq01WNNscIT32x/3CSa4xPTOhUkW/mTczSYcJ/QTPomAbvbefbECzzQmtihcbkmOJVq3Ckms9gunvn/6OWf9Zj1+P1OB/G08AAOae24OapQmCIIhWkFiKIl3SE1CclQi7k8f3eypCeuwad5/NJHezciwQT8VtPy1mZALxyZaTAIDhmbxiTpYxwfT36f2QrNfg91ONuO61Tag0WpGToseMIQWxDpEgCIJQGCSWogjHcbh8RFcAwOfbgu/9aWyx47fj9QCAif3zZIktGCYPyEOyXoOyhhZsOVEfcG2zzYGvd5YDAM7JdUUjvKDRqlW4bUJv/HjvBFw3phtYou5PY7pDp6GXBEEQBNEa+mSIMpe7szPrDtegojG4Y/g/H6yG08WjT24yumUlyhleQAxaNS4anA8AeGv9Mdid/kXQil0VMFkd6JaZgF6p0YowNHJS9Hji8iH47s7z8dQVQ3Dbhb1iHRJBEAShQEgsRZluWYkYXZwJng++9+cH98mtiQNiV4JjXHV2EQDgu90VuOyl9dhzutHnuo/dJbg/ntUFSm8B6pefgqvP7kZz1QiCIAif0KdDDLj8LCG79NnWU+D5wL0/ThePtQcEsTQphiU4xtnFmVhy7QikJ2qxt9yIy15aj+dLDsLm8GSZjtWYsflYHVQccPmIwhhGSxAEQRCRQ2IpBswYUgCdRoVDVSbsOW0MuHbHyXrUN9uRlqDFWd3SoxNgB1w6rBAld1+A6YPy4XDxWLLmEP70+ibUmqwAPI3dF/TNQX6qss0dCYIgCKIjSCzFgLQELaYMFLJEHTV6r9knZJUu6JsDjYLKRDkperz8p7Pw0nUjkKLXYPPxOlzqLst9uvUUAOCqUUUxjpIgCIIgIkc5n75nGFe4S3Ff7SwL2CjN+pUmKaBfqS0cx+HioYX44m/jUJyViLKGFlz20npUNVmRmaTDpAGxLxsSBEEQRKSQWIoR5/XJQVaSDjUmG34+WO1zTVlDC/ZXNEHFCZklpdI7NwXL/3YuxvXKgsPtv3T5iC50DJ8gCILoFGhiHcCZilatwqXDC/HW+uO45d2tGF6UjnN6ZmFUcSYK0wzIStZjzT7BiHJU98yoD88NlfREHZb9ZTSe/G4/fjlUjT+PK451SARBEAQhCSSWYsicscVYs68KpXXN+O14vWg82RYlWAYEg1atwoMXD4x1GARBEAQhKSSWYkhxdhJ+um8CSuuasfFoLTYercPOUw2oNdnQ2CIMoDVoVZgxmEZwEARBEESsILEUYziOQ/esJHTPSsLVZ3cTb7c7Xag322DQqZFq0MYwQoIgCII4s4mbDty6ujpcf/31SE1NRXp6Om644QaYTKaAj5kwYQI4jmv13y233NJqTWlpKWbOnInExETk5ubivvvug8PhkPNHCQqtWoXcVAMJJYIgCIKIMXGTWbr++utRXl6OkpIS2O12zJ07FzfffDPef//9gI+76aab8Mgjj4hfJyZ6Zqs5nU7MnDkT+fn5+PXXX1FeXo7Zs2dDq9XiiSeekO1nIQiCIAgifogLsbRv3z6sXLkSv/32G0aNGgUAePHFFzFjxgw8++yzKCz0P1IjMTER+fn5Pu9btWoV9u7di9WrVyMvLw/Dhw/Ho48+in/84x/417/+BZ1O2SfQCIIgCIKQn7gQSxs2bEB6eroolABg8uTJUKlU2LRpEy6//HK/j33vvffw7rvvIj8/H5dccgkefPBBMbu0YcMGDBkyBHl5HvPEadOm4dZbb8WePXswYsQIn9e0Wq2wWq3i10ajMLLEbrfDbrdH9LN2Nth+0L50DO1V8NBehQbtV/DQXgVPZ9irYGOPC7FUUVGB3NzWx+c1Gg0yMzNRUVHh93HXXXcdunfvjsLCQvz+++/4xz/+gQMHDuDzzz8Xr+stlACIXwe67qJFi7Bw4cJ2t69atapVmY/wUFJSEusQ4gbaq+ChvQoN2q/gob0Knnjeq+bm5qDWxVQs3X///XjqqacCrtm3b1/Y17/55pvFfw8ZMgQFBQWYNGkSjhw5gl69eoV93QULFmD+/Pni10ajEUVFRZg6dSpSU1PDvm5nxG63o6SkBFOmTIFWS83qgaC9Ch7aq9Cg/Qoe2qvg6Qx7xSpDHRFTsXTPPffgz3/+c8A1PXv2RH5+Pqqqqlrd7nA4UFdX57cfyRdjxowBABw+fBi9evVCfn4+Nm/e3GpNZaXgmh3ounq9Hnq9vt3tWq02bp8wckN7Ezy0V8FDexUatF/BQ3sVPPG8V8HGHVOxlJOTg5ycjmeejR07Fg0NDdi6dStGjhwJAPjhhx/gcrlEARQMO3bsAAAUFBSI13388cdRVVUllvlKSkqQmpqKgQPJiZogCIIgiDjxWRowYACmT5+Om266CZs3b8b69esxb948XHPNNeJJuLKyMvTv31/MFB05cgSPPvootm7diuPHj+Orr77C7Nmzcf7552Po0KEAgKlTp2LgwIH4v//7P+zcuRPff/89/vnPf+Jvf/ubz8wRQRAEQRBnHnEhlgDhVFv//v0xadIkzJgxA+PHj8err74q3m+323HgwAGxWUun02H16tWYOnUq+vfvj3vuuQdXXHEFvv76a/ExarUa33zzDdRqNcaOHYs//elPmD17ditfJoIgCIIgzmzi4jQcAGRmZgY0oCwuLgbP8+LXRUVF+Omnnzq8bvfu3bFixQpJYiQIgiAIovMRN5klgiAIgiCIWEBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACQGKJIAiCIAgiACSWCIIgCIIgAkBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACQGKJIAiCIAgiACSWCIIgCIIgAkBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACQGKJIAiCIAgiACSWCIIgCIIgAkBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACQGKJIAiCIAgiACSWCIIgCIIgAkBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACQGKJIAiCIAgiACSWCIIgCIIgAkBiiSAIgiAIIgAklgiCIAiCIAJAYokgCIIgCCIAJJYIgiAIgiACEDdiqa6uDtdffz1SU1ORnp6OG264ASaTye/648ePg+M4n/998skn4jpf93/44YfR+JEIgiAIgogDNLEOIFiuv/56lJeXo6SkBHa7HXPnzsXNN9+M999/3+f6oqIilJeXt7rt1VdfxTPPPIOLLrqo1e1vvfUWpk+fLn6dnp4uefwEQRAEQcQncSGW9u3bh5UrV+K3337DqFGjAAAvvvgiZsyYgWeffRaFhYXtHqNWq5Gfn9/qti+++AJXXXUVkpOTW92enp7ebi1BEARBEAQQJ2W4DRs2ID09XRRKADB58mSoVCps2rQpqGts3boVO3bswA033NDuvr/97W/Izs7G6NGj8eabb4LnecliJwiCIAgivomLzFJFRQVyc3Nb3abRaJCZmYmKioqgrvHGG29gwIABGDduXKvbH3nkEUycOBGJiYlYtWoVbrvtNphMJtxxxx1+r2W1WmG1WsWvjUYjAMBut8Nutwf7Y50RsP2gfekY2qvgob0KDdqv4KG9Cp7OsFfBxh5TsXT//ffjqaeeCrhm3759EX+flpYWvP/++3jwwQfb3ed924gRI2A2m/HMM88EFEuLFi3CwoUL292+atUqJCYmRhxvZ6SkpCTWIcQNtFfBQ3sVGrRfwUN7FTzxvFfNzc1BreP4GNacqqurUVtbG3BNz5498e677+Kee+5BfX29eLvD4YDBYMAnn3yCyy+/POA1/ve//+GGG25AWVkZcnJyAq799ttvcfHFF8NisUCv1/tc4yuzVFRUhJqaGqSmpga8/pmG3W5HSUkJpkyZAq1WG+twFA3tVfDQXoUG7Vfw0F4FT2fYK6PRiOzsbDQ2Ngb8/I5pZiknJ6dD8QIAY8eORUNDA7Zu3YqRI0cCAH744Qe4XC6MGTOmw8e/8cYbuPTSS4P6Xjt27EBGRoZfoQQAer3e5/1arTZunzByQ3sTPLRXwUN7FRq0X8FDexU88bxXwcYdFz1LAwYMwPTp03HTTTfhlVdegd1ux7x583DNNdeIJ+HKysowadIkvPPOOxg9erT42MOHD+Pnn3/GihUr2l3366+/RmVlJc455xwYDAaUlJTgiSeewL333hu1n40gCIIgCGUTF2IJAN577z3MmzcPkyZNgkqlwhVXXIElS5aI99vtdhw4cKBd/fHNN99E165dMXXq1HbX1Gq1WLp0Ke6++27wPI/evXvj+eefx0033ST7z0MQBEEQRHwQN2IpMzPTrwElABQXF/s88v/EE0/giSee8PmY6dOntzKjJAiCIAiCaEtc+CwRBEEQBEHEChJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABILFEEARBEAQRABJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABILFEEARBEAQRABJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABILFEEARBEAQRABJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABILFEEARBEAQRABJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABILFEEARBEAQRABJLBEEQBEEQASCxRBAEQRAEEQASSwRBEARBEAEgsUQQBEEQBBEAEksEQRAEQRABiBux9Pjjj2PcuHFITExEenp6UI/heR4PPfQQCgoKkJCQgMmTJ+PQoUOt1tTV1eH6669Hamoq0tPTccMNN8BkMsnwExAEQRAEEY/EjViy2Wy48sorceuttwb9mKeffhpLlizBK6+8gk2bNiEpKQnTpk2DxWIR11x//fXYs2cPSkpK8M033+Dnn3/GzTffLMePQBAEQRBEHKKJdQDBsnDhQgDA22+/HdR6nuexePFi/POf/8Rll10GAPj/7d1/TNT1Hwfw5+EhAgoIyh0otLO5MMUirxjhrA1MyzTQ5WAoUE5HgqG20GraWpHiD/4ADYo/Gi2raQkpG27IISYjOIErfxCyReKUgyUenCJyeu/vH339fP344zq/yn348Xxst/l5v9/32evz3Dxffu4+n88333wDjUaD0tJSJCQkoLm5GUeOHIHRaIRerwcA5Ofn47XXXsOuXbsQHBw8KMdCREREw8ewaZYeVltbG8xmM2JjY6UxX19fREZGora2FgkJCaitrYWfn5/UKAFAbGws3NzcUFdXh/j4+Pvu+8aNG7hx44a03dPTA+Cfr/RsNtsgHdHwZLPZ0NfXh8uXL8Pd3V3pcoY0ZuU8ZvVwmJfzmJXzRkJWVqsVwD8nWBwZsc2S2WwGAGg0Gtm4RqOR5sxmMwIDA2XzarUa/v7+0pr72bZtm3Sm6046ne5RyyYiIiIXs1qt8PX1feC8os3S5s2bkZOT43BNc3MzwsLCXFSRcz744ANs3LhR2rbb7eju7kZAQABUKpWClQ09vb29CAkJwYULF+Dj46N0OUMas3Ies3o4zMt5zMp5IyErIQSsVuu//uxG0WbpvffeQ2pqqsM106ZN+7/2rdVqAQCdnZ0ICgqSxjs7O/Hss89Ka7q6umTvu3nzJrq7u6X334+Hhwc8PDxkY85eoTda+fj4DNu/TK7GrJzHrB4O83Ies3LecM/K0Rml2xRtliZPnozJkycPyr51Oh20Wi0qKyul5qi3txd1dXXSFXVRUVGwWCxoaGjAnDlzAAAGgwF2ux2RkZGDUhcRERENL8Pm1gHt7e0wmUxob2/HrVu3YDKZYDKZZPdECgsLQ0lJCQBApVJh/fr1+Oyzz3Do0CGcOnUKycnJCA4ORlxcHABgxowZWLhwIVavXo36+nrU1NQgIyMDCQkJvBKOiIiIAAyjH3hv3boVxcXF0nZERAQAoKqqCi+//DIAoKWlRboyDQCysrJw7do1rFmzBhaLBXPnzsWRI0cwbtw4ac2+ffuQkZGBmJgYuLm5YdmyZcjLy3PNQY0CHh4e+Pjjj+/52pLuxaycx6weDvNyHrNy3mjKSiX+7Xo5IiIiolFs2HwNR0RERKQENktEREREDrBZIiIiInKAzRIRERGRA2yW6JFt27YNzz//PCZMmIDAwEDExcWhpaVFtqa/vx/p6ekICAjA+PHjsWzZMnR2dipU8dCxfft26TYXtzEruYsXL2LFihUICAiAp6cnwsPDcfLkSWleCIGtW7ciKCgInp6eiI2NRWtrq4IVK+PWrVvYsmULdDodPD098eSTT+LTTz+VPfNqtGZ1/PhxLF68GMHBwVCpVCgtLZXNO5NLd3c3kpKS4OPjAz8/P6xatUp265qRwlFWNpsNmzZtQnh4OLy9vREcHIzk5GRcunRJto+RmBWbJXpk1dXVSE9Px6+//oqKigrYbDa88soruHbtmrRmw4YNOHz4MA4cOIDq6mpcunQJS5cuVbBq5RmNRnz55ZeYPXu2bJxZ/c+VK1cQHR0Nd3d3lJeX4+zZs9i9ezcmTpwordmxYwfy8vJQWFiIuro6eHt7Y8GCBejv71ewctfLyclBQUEB9uzZg+bmZuTk5GDHjh3Iz8+X1ozWrK5du4ZnnnkGe/fuve+8M7kkJSXhzJkzqKioQFlZGY4fP441a9a46hBcxlFWfX19aGxsxJYtW9DY2IiDBw+ipaUFS5Yska0bkVkJosesq6tLABDV1dVCCCEsFotwd3cXBw4ckNY0NzcLAKK2tlapMhVltVrF9OnTRUVFhXjppZdEZmamEIJZ3W3Tpk1i7ty5D5y32+1Cq9WKnTt3SmMWi0V4eHiI77//3hUlDhmLFi0Sb7/9tmxs6dKlIikpSQjBrG4DIEpKSqRtZ3I5e/asACCMRqO0pry8XKhUKnHx4kWX1e5qd2d1P/X19QKAOH/+vBBi5GbFM0v02N2+Mai/vz8AoKGhATabDbGxsdKasLAwhIaGora2VpEalZaeno5FixbJMgGY1d0OHToEvV6PN998E4GBgYiIiEBRUZE039bWBrPZLMvL19cXkZGRoy6vF198EZWVlTh37hwA4LfffsOJEyfw6quvAmBWD+JMLrW1tfDz84Ner5fWxMbGws3NDXV1dS6veSjp6emBSqWSno86UrMaNnfwpuHBbrdj/fr1iI6OxqxZswAAZrMZY8eOvedhwxqNBmazWYEqlfXDDz+gsbERRqPxnjlmJffnn3+ioKAAGzduxIcffgij0Yh3330XY8eORUpKipSJRqORvW805rV582b09vYiLCwMY8aMwa1bt5CdnY2kpCQAYFYP4EwuZrMZgYGBsnm1Wg1/f/9RnV1/fz82bdqExMRE6UG6IzUrNkv0WKWnp+P06dM4ceKE0qUMSRcuXEBmZiYqKipkj92h+7Pb7dDr9fj8888B/POYo9OnT6OwsBApKSkKVze07N+/H/v27cN3332HmTNnwmQyYf369QgODmZW9NjZbDYsX74cQggUFBQoXc6g49dw9NhkZGSgrKwMVVVVmDp1qjSu1WoxMDAAi8UiW9/Z2QmtVuviKpXV0NCArq4uPPfcc1Cr1VCr1aiurkZeXh7UajU0Gg2zukNQUBCefvpp2diMGTPQ3t4OAFImd18tOBrzev/997F582YkJCQgPDwcK1euxIYNG7Bt2zYAzOpBnMlFq9Wiq6tLNn/z5k10d3ePyuxuN0rnz59HRUWFdFYJGLlZsVmiRyaEQEZGBkpKSmAwGKDT6WTzc+bMgbu7OyorK6WxlpYWtLe3IyoqytXlKiomJganTp2CyWSSXnq9HklJSdKfmdX/REdH33MbinPnzuGJJ54AAOh0Omi1Wllevb29qKurG3V59fX1wc1N/pE+ZswY2O12AMzqQZzJJSoqChaLBQ0NDdIag8EAu92OyMhIl9espNuNUmtrK44ePYqAgADZ/IjNSulfmNPw98477whfX19x7Ngx0dHRIb36+vqkNWlpaSI0NFQYDAZx8uRJERUVJaKiohSseui482o4IZjVnerr64VarRbZ2dmitbVV7Nu3T3h5eYlvv/1WWrN9+3bh5+cnfv75Z/H777+LN954Q+h0OnH9+nUFK3e9lJQUMWXKFFFWViba2trEwYMHxaRJk0RWVpa0ZrRmZbVaRVNTk2hqahIARG5urmhqapKu4HIml4ULF4qIiAhRV1cnTpw4IaZPny4SExOVOqRB4yirgYEBsWTJEjF16lRhMplkn/c3btyQ9jESs2KzRI8MwH1fX3/9tbTm+vXrYu3atWLixInCy8tLxMfHi46ODuWKHkLubpaYldzhw4fFrFmzhIeHhwgLCxNfffWVbN5ut4stW7YIjUYjPDw8RExMjGhpaVGoWuX09vaKzMxMERoaKsaNGyemTZsmPvroI9k/YqM1q6qqqvt+RqWkpAghnMvl8uXLIjExUYwfP174+PiIt956S1itVgWOZnA5yqqtre2Bn/dVVVXSPkZiVioh7ri9KxERERHJ8DdLRERERA6wWSIiIiJygM0SERERkQNsloiIiIgcYLNERERE5ACbJSIiIiIH2CwREREROcBmiYiIiMgBNktENOqkpqYiLi5O6TKIaJhgs0RERETkAJslIqI75ObmIjw8HN7e3ggJCcHatWtx9epV2ZqioiKEhITAy8sL8fHxyM3NhZ+fnzIFE9GgY7NERHQHNzc35OXl4cyZMyguLobBYEBWVpY0X1NTg7S0NGRmZsJkMmH+/PnIzs5WsGIiGmx8kC4RjTqpqamwWCwoLS3917U//vgj0tLS8PfffwMAEhIScPXqVZSVlUlrVqxYgbKyMlgslkGqmIiUxDNLRER3OHr0KGJiYjBlyhRMmDABK1euxOXLl9HX1wcAaGlpwQsvvCB7z93bRDSysFkiIvqvv/76C6+//jpmz56Nn376CQ0NDdi7dy8AYGBgQOHqiEgpaqULICIaKhoaGmC327F79264uf3zf8n9+/fL1jz11FMwGo2ysbu3iWhkYbNERKNST08PTCaTbGzSpEmw2WzIz8/H4sWLUVNTg8LCQtmadevWYd68ecjNzcXixYthMBhQXl4OlUrlwuqJyJX4A28iGnVSU1NRXFx8z/iqVaswc+ZM7Ny5ExaLBfPmzUNSUhKSk5Nx5coV6fYARUVF+OSTT9Dd3Y0FCxZAr9djz5496OjocPGREJErsFkiInpEq1evxh9//IFffvlF6VKIaBDwazgiooe0a9cuzJ8/H97e3igvL0dxcTG++OILpcsiokHCM0tERA9p+fLlOHbsGKxWK6ZNm4Z169YhLS1N6bKIaJCwWSIiIiJygPdZIiIiInKAzRIRERGRA2yWiIiIiBxgs0RERETkAJslIiIiIgfYLBERERE5wGaJiIiIyAE2S0REREQOsFkiIiIicuA/SjChXmc9m/QAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from pandas import DataFrame\n",
        "residual = DataFrame(model_arima_fit.resid)\n",
        "residual.plot(kind='kde')\n"
      ],
      "metadata": {
        "id": "ldmZ6WfOHhd2",
        "outputId": "70eebdd4-75e0-4ba8-edf6-52882a0b1329",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Axes: ylabel='Density'>"
            ]
          },
          "metadata": {},
          "execution_count": 98
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}