TimeSeries_Decompose.ipynb

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      "cell_type": "markdown",
      "metadata": {
        "id": "utfB1yvQTm_a",
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      "source": [
        "Link to Video explaining the code - https://www.youtube.com/watch?v=pLHm4cvoZiY"
      ]
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      "metadata": {
        "id": "CY5G7SE9PLEB",
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      },
      "source": [
        "import matplotlib as mpl\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import os\n",
        "from datetime import datetime\n",
        "import pandas as pd\n",
        "import plotly.express as px\n",
        "\n",
        "\n",
        "mpl.rcParams['figure.figsize'] = (10, 8)\n",
        "mpl.rcParams['axes.grid'] = False\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pc9-9rleb9_Y",
        "colab_type": "code",
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      },
      "source": [
        "def parse(x):\n",
        "\treturn datetime.strptime(x, '%m/%d/%Y')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WSoh7Ze0P-jd",
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      "source": [
        "df = pd.read_csv('https://raw.githubusercontent.com/srivatsan88/YouTubeLI/master/dataset/amazon_revenue_profit.csv', parse_dates = ['Quarter'],date_parser=parse)\n",
        "df.head()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ekRbR-YqwEtA",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "print (\"Rows     : \" ,df.shape[0])\n",
        "print (\"Columns  : \" ,df.shape[1])\n",
        "print (\"\\nFeatures : \\n\" ,df.columns.tolist())\n",
        "print (\"\\nMissing values :  \", df.isnull().any())\n",
        "print (\"\\nUnique values :  \\n\",df.nunique())"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bJHsRdAl5C6I",
        "colab_type": "code",
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      },
      "source": [
        "amazon_df=df.set_index(\"Quarter\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A5LxljglE8_x",
        "colab_type": "code",
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      "source": [
        "amazon_df.head()"
      ],
      "execution_count": null,
      "outputs": []
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      "source": [
        "amazon_df.plot()"
      ],
      "execution_count": null,
      "outputs": []
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          "height": 542
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        "outputId": "58702d0e-cbb5-4a77-a62b-49964930b54c"
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      "source": [
        "fig = px.line(df, x='Quarter', y='Revenue', title='Amazon Revenue Slider')\n",
        "\n",
        "fig.update_xaxes(\n",
        "    rangeslider_visible=True,\n",
        "    rangeselector=dict(\n",
        "        buttons=list([\n",
        "            dict(count=1, label=\"1y\", step=\"year\", stepmode=\"backward\"),\n",
        "            dict(count=2, label=\"3y\", step=\"year\", stepmode=\"backward\"),\n",
        "            dict(count=3, label=\"5y\", step=\"year\", stepmode=\"backward\"),\n",
        "            dict(step=\"all\")\n",
        "        ])\n",
        "    )\n",
        ")\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-zefz_bYFH7w",
        "colab_type": "text"
      },
      "source": [
        "Null hypothesis - data is stationary\n",
        "\n",
        "Alternate hypothesis - data is not stationary"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sFj88b1w7COe",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from statsmodels.tsa.stattools import kpss"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JYga3cH17CIf",
        "colab_type": "code",
        "colab": {
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          "height": 110
        },
        "outputId": "4b0ffa25-3909-4ef1-c61d-9a34abeeb523"
      },
      "source": [
        "tstest = kpss(amazon_df['Revenue'], 'ct')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/stattools.py:1685: FutureWarning:\n",
            "\n",
            "The behavior of using lags=None will change in the next release. Currently lags=None is the same as lags='legacy', and so a sample-size lag length is used. After the next release, the default will change to be the same as lags='auto' which uses an automatic lag length selection method. To silence this warning, either use 'auto' or 'legacy'\n",
            "\n"
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      },
      "source": [
        "tstest"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.170051682108309,\n",
              " 0.029956931576409152,\n",
              " 11,\n",
              " {'1%': 0.216, '10%': 0.119, '2.5%': 0.176, '5%': 0.146})"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 83
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NJQ8LlnVl8-r",
        "colab_type": "text"
      },
      "source": [
        "Additive - ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/ec813268e453864276769e12a207c653f0ef67e6)\n",
        "\n",
        "Multiplicative - ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/b3849db82617c2bd2cfe3dc5302496e6468020b9)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mnH16NbmGgDE",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 585
        },
        "outputId": "b0815d28-bb99-4b64-87a6-dc01ab0028b2"
      },
      "source": [
        "import statsmodels.api as sm\n",
        "res = sm.tsa.seasonal_decompose(amazon_df['Revenue'],\n",
        "                                model='multiplicative')\n",
        "\n",
        "resplot = res.plot()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x576 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8C5rsEGvGf7S",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 407
        },
        "outputId": "217ef2f4-2a11-48d0-f698-e61f4ccfaf1d"
      },
      "source": [
        "plt.figure(figsize=(22,7))\n",
        "res.trend.plot()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fbca9c69c50>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 88
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1584x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bK4qpB5tf42W",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 254
        },
        "outputId": "8149d8d1-e7ca-4776-c721-e4341bc70558"
      },
      "source": [
        "res.observed"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Quarter\n",
              "2020-03-31    75452\n",
              "2019-12-31    87437\n",
              "2019-09-30    69981\n",
              "2019-06-30    63404\n",
              "2019-03-31    59700\n",
              "              ...  \n",
              "2006-03-31     2279\n",
              "2005-12-31     2977\n",
              "2005-09-30     1858\n",
              "2005-06-30     1753\n",
              "2005-03-31     1902\n",
              "Name: Revenue, Length: 61, dtype: int64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 89
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HM6ykxDggKoR",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 254
        },
        "outputId": "badf66d8-486b-4322-906d-23596e08f861"
      },
      "source": [
        "print(res.trend)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Quarter\n",
            "2020-03-31          NaN\n",
            "2019-12-31          NaN\n",
            "2019-09-30    72099.500\n",
            "2019-06-30    68248.750\n",
            "2019-03-31    64691.375\n",
            "                ...    \n",
            "2006-03-31     2369.375\n",
            "2005-12-31     2265.000\n",
            "2005-09-30     2169.625\n",
            "2005-06-30          NaN\n",
            "2005-03-31          NaN\n",
            "Name: Revenue, Length: 61, dtype: float64\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "258ydKSrGf42",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 254
        },
        "outputId": "24f05004-a179-4432-8333-54d9df526fd8"
      },
      "source": [
        "print(res.seasonal)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Quarter\n",
            "2020-03-31    0.941840\n",
            "2019-12-31    1.289518\n",
            "2019-09-30    0.894993\n",
            "2019-06-30    0.873649\n",
            "2019-03-31    0.941840\n",
            "                ...   \n",
            "2006-03-31    0.941840\n",
            "2005-12-31    1.289518\n",
            "2005-09-30    0.894993\n",
            "2005-06-30    0.873649\n",
            "2005-03-31    0.941840\n",
            "Name: Revenue, Length: 61, dtype: float64\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hke7g2lCGf08",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 254
        },
        "outputId": "29c57ae8-d306-4d41-d765-422ebe958733"
      },
      "source": [
        "res.resid"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Quarter\n",
              "2020-03-31         NaN\n",
              "2019-12-31         NaN\n",
              "2019-09-30    1.084496\n",
              "2019-06-30    1.063372\n",
              "2019-03-31    0.979831\n",
              "                ...   \n",
              "2006-03-31    1.021253\n",
              "2005-12-31    1.019256\n",
              "2005-09-30    0.956844\n",
              "2005-06-30         NaN\n",
              "2005-03-31         NaN\n",
              "Name: Revenue, Length: 61, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 92
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uiS1Qcx9GfyT",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "00bee421-c57d-4048-a0ac-6de6b1d4c5b6"
      },
      "source": [
        "res.observed[2]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "69981"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 93
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VbDaBAmUGfvL",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "11f0ef70-e5bd-4523-c8d2-6e502912f697"
      },
      "source": [
        "res.trend[2]*res.seasonal[2]*res.resid[2]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "69980.99999999999"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 94
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "moQFQKorGftI",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 517
        },
        "outputId": "f2e92b46-5a64-4614-b186-89390db4a233"
      },
      "source": [
        "pd.DataFrame(res.observed/res.trend).plot()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fbca9be3ef0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 95
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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At02mOFynfF/BA3goU3V3GTtlil8AfcvM9hcIBI8/TjrNV1mCX6qUevUp/9xjUBS6Hmfn8uF5qExxuNEkeYG4IgfLOGRhqQEHZZQcFDyjTLWqEVi8fmZR9TJmQ4QBnpmpesKQyXtcIBA8/jiaTCml/h2llKr+918HsATw8rF/7qlgVCmAj813qExxIAlpfqBMMbnR7JgpUwlTZcrYtOtFwIokNGSK0ZlMjovJw5VAIHj8EY19g1LqAwC+EcCrlVIvAvhRADEAaK3fA+BvA/i7SqkUwAbA2zWHSu8KbaLCgbQA+5YMwIMk7LIC8R6Zoj8TsJ9H4vD61UH9dgCdybkWYYBVFLJSphKWyhS/HJdAIHi8MUqmtNbfPfL1HwPwYyc70Ymxay2A5aJMNdUInJQpXSstyyhkcSaAXwC9bkBnGEA3tRZclKmi0OzyikDzenGx/QUCweOPs29Ab5MCLmQqzcobcp2ZYnEzzmtlasHI5kuyApcLRhUELWUqDoOqcZzHuRZRqUzlhUaWMzhT3ibC9Ocx2DKsaxAIBI83zp5M7WWmmDyJJnmOMFC4iPmUdqa5xiJqbL4k57EYepcV9dodDupGUimdcagA8LFE07zY2xfIQZ3ilnczqJUpBu8ngUBwHjh7MtVWprh8oJt8yzLmZRPVBKE6V8JB3cjyVoUE/XmMqtgmnhwUs11+8J5iQBTa72suDzIAzwlDgUDweOPsydSe1cDkAz3NdbUDj9ei3EUrMwXwyHLtsgKfUy+Epn/9dq1pPoBPvqy0+UKsIkbKVHv4g8F5DMy5ODzECASC88DZk6n2DZiLrL+rbnxl2ziPgszkYJoP2A/vUyHJitbUI/0NOW1lpgBgFQcsFM92AB1gQjyzZvUOJxVIAugCgeDUOHsytd8zRX8zBsob35KZTZTm+2cC+ChTTR8X/c3PvJ9ihsrUMgxqVZGF2lm9rz9nzWvFjQTQBQLBqXH2ZGovM8XkAz3Nm3zSKg5ZnMsoGwB4LfBtBdA5nOdQmVrGPALoZYO9YpXDM2coyRT9a2cgAXSBQHBqnD2ZMkrC1TJiQVqAfeLChkzlHTYf8Q1Za41dluNqGUEpXspUFDTTfByIQru0E+ChuuzaylSWg0uXL8cAutYa//gXP4Y/+tQN9VEEAsEMnD2Zaj8dc8lI7Ie9mdh8B4uOAXolKCs0Cl2eZxnxKKM0r121QQmrOCQnncD9zBSXHBdQ/u5pTf9+MuBIpl7ZpHj3//lx/NLv/QX1UQQCwQycPZkyH+gPq6djDkhbKhArZYrZNJ957ZZxmQVicZ1apBPgQ4ZLktdM81G/dkB7bRKfpn+gUTg5qHcGdY6LyQOfQCCYhrMnU43VELFRpnatG/IqZnIzbp1pwcTmM9dlEQbldWJw80tbqiJQBdAZvX5cM1MAD7UMaKZCOWWmzIMCpzMJBAJ7nD2Z2p8oor/pAfs3ZDaKy4H1CNDbMo0yFZYKHoObcZcyxeH122X7DegciKc5A6cGe6CtTPE4D9AQTSFTAsHjibMnU4YQPLVesPmgSg6UKQ4kL8313pkAejJllA2zVJgDQUhzjThS9T8vYy7KVF5nywAeKpAJ69fKFIPXD2hIOpfPA6C5NndM1HOBQDANTwyZerjmOc1X2kS058oLjbzQe91JAP30XDszxVmZor5OQKMs8lKmDmw+BtcJaD4TOFwjgy1DtUwgENjjCSBTORZRgHUcYpPyGM/es/kYKFOpWZHCzOZrZ6a4KFO7VlM8YHqm6M/VVCOYFUX0N+V2NQLARwky1ybJC+QMlnkDrcyUKFMCwWOJsydTphl6tQjZjGe3V7dwGK0316RedFwpUwkTMsUpM9VuigeAVRVApyTpWV6g0CUZjsIAYaDYvM8BvsoUwOdM5oGKC+EUCATTcPZkapcVWMalMgXw+PC81zPFRJlattQygJ54HmamqBU8YJ8IAzyuVXKgLK4YheLDQOFiwadIFEBdBAvw+DwAZF+gQPC44+zJVG1/xHw+0PcD6PSKS1IrU1U1QshjvH6vZ4qBggd0VyMAxGSqZYcCfELxuyoUX+e4GLx+eaGR5pqt9cjlPAKBYBqeCDK1jMNameLwYdVWplZRiDTXpNmNw8xUECgsQvos0F7PFJeFwvmBMsWgk6smUwyVqWUUYL1gpArfsx7p31NA817n8PkkEAim4+zJ1C7L95QpDjJ6W5niULJ4eDMGeNiP5gazigM+C4WzfWWKw/Tc7uD1W8Yhj9U7pvuqDsXTn8kQuqcueOW4mgA6/TUSCATTcfZkKjGZKfN0zKCGoNCNpcbhRrM7sPkAsCAvtc1XrUnhcDNO8vvVCAAxGT7MvDGpayiVqbB5kGFyJoAjmeK3L1AgENjj7MmUWd1SkxZiZepQBVoyyJMc2nwAmNh8VQA94qNM3c9M0ZPhrswUB2XqMDPFgSgcrrjhQPCA5trcJRmL+haBQDANZ0+mDpUp6g/Pe/mWmN/NGOARYm6UqYBFtsycyVRIADzIcFdmioMyZWy+MFCIQ8VCWWy6rxYAeFiPQHOOQjdKo0AgeHxw9mTKKFNcAuj1GHt1Q15F9E/taV4SlPuZKR79V0aZAujVjTTX+5kpY/NRkuHD0lU2ylTTybVisoPSvE7G5qP+PDBoxw+2kpsSCB47nD2ZSg5yG9RPovdvfBx6isoP8sMpNS7KVNum5XCmRRjW/9woU3yURS7K1C4t6uqI1YJHtYUhLU8xKxJtn4MLwRMIBPY4ezJl1slwCcGm9ywZemUqySplao9MhQwa0HOEgUIU8sndJHmxv+iYQwC9I4dHTTqBKjMV81robZQpdq3srWtzl2SEJxEIBHNw9mQqOey6oQ6g5/uTcyyUjVota2eB6APfScsm4qDgaa3r9UQGHALoh9UIbJSpdjltFLKoJakD6Oym+USZEggeZ5w9mdrd67qhJwhAa/KKwblqtaxtXzGw+cxrB/BQ8Ey2rG2Hcmj3PqxGWDHJTJnCXIBH0z/QsXyZST5pLzMlZEogeOxw9mTKZKaiMEAcKvKnvnt71BjYV7Vatmdf0VtFZeaGjzLVVSGxZJDlSg7IMIfhAeAggB5zaWUvz3C5iMoJQwYEDyiVTfO+4kLwAOD/+6tbvPRoR30MgYA9zp5M7akbcUhPpnqUKRYk4V4AnZ54clKmDncYAi2blkO1BTNl6vB3j0NmypxhGZc5PA7WI1C+rz+3sh45Zaa+96efxz/+xY9RH0MgYI+zJlNa670b8jqmH8/uuvEBIFUSOtfJxBzWyeT1NBiHaoQhZYqW5DXlpuZMeaGREfcVmdJOwJApeuJifs/MhC/1A4PBLivwVNV9Rf3A18Zn7hJ8+jahPoZAwB5nTaaM2mM+0NcL+qfj9CCAzqG0s3OdDAObby+AHtEH9XfZfQUvDstSSh4DBAfWMbVNm7WqEbiQqdZnwpqJWgaUZJzbihug3GXKidwJBFxx1mTqXjCXwUTRvTH2iD7A3GXzLRjYfIc2EcBPmQLoLdH762To1bJ68rE1YciBuLTJ1CoOyD8PDLZpgc+7rJQpJmcCynPdMTqPQMAVZ02mjE1Vf6AvGGSmDm7IcagQKPp1MlGgEAT7/Um7rCDdE7bbU6bos2WHtRYG1JOPTZZrv1Wfw7Xaz3HR35S3aY6o6i5bMzkTUNqPT12UZOqOiRKU5QWSvGBF7gQCrjhrMnX4gb6OA3oydaAiKKXIsxuHy3uBkiBo3dQBUKBUphqbCKDNlqXZ/bU7AL2FtateP6VKMsVBmTq02PlM87UnROmVaoNtljdFomzOVL6G1J+ZAsHjgLMmU+2wKVDe9KhHxg8JHlDecKiVqftqC739yK20s1m7o/b+PQdlanmQdwNoJwxrVbgiwSafRKl0AqaVvXUmBlOPeaGR5hrrOMSawcSxgSGaYvMJBOM4azJ1X5mi/6A6VKYAemUjOVjeCzTkhXKljFkFBHCpRuhWppZRSF6NcDiJCYDUwqrzioya/oH97rJVHLBQgcx7ehWXmxqoP6MMzLk4XCOBgDvOmkwdZqY4kKl6mu9AmaJWNhYdOSCAvoxy2cqWKeps2cFAg8EyDmiJywGZWrFQpipVuN7NR0+GgX2bj0tmqiFTpTLFRQky57hLc3JFUSDgjrMmU/dCsAyqETgqU92ZKXoloX3jU0phFRFnyzoqJICSvJAqUzk/ZaorMwXQkuHy5+c1seNS2mmsRqNMURNOA/PgaWxIgUDQj7MmU40yVX14RiG5ZJ3U+93aS4VpsxtlZup+DgigzUzt0qa0EzAhZnplqssSJR8gCJkpU9n93z2AlzJF/RBjcKhMcSB4wH5FA5czCQRccdZkygSG68zUgsc03yJsJq8A+l1qncqUCXwTk5flnh1Kq0x1rZMBmNi0bZsvpifCfU3/1LZau1Wfz4qbZlCGQxTBoE00uZxJIOCKsyZTXZmprNB1bokChzc+gH6XWpIPTfPRnEtrvVfaCTBSpjquFXUNwb7Nx0GZMgSheZAB6G2+XVbUDwrrOESSF8gLWgvLXJM6gM5EBWoTKE77AgUCjjhrMtW7ZoOZCrQiVqaGA+g058oKDa3BUpnqtvn4DBCszL5AUouWqc2Xtlfc0PdxAfsVLpyUqTap4xKKFwi44qzJ1L0G9IpMUX5YdeaTYto9eIcBZqAhDFTqxq6DuFArU11rdwD6PYb3A+j0ytThg8ySwe8eUBJMjhOGAL9qhPY5qK+RQMAd502mOnqmAGCb8LnxAWZvGTdlitbmSw4CzOZ/U18nYL/WAqDPvPUqU6TW477NV+e4qIlLul+NANAvhG4H0MsJQ/ocF7D//hFlSiAYxnmTqYMG9PWCPgTblU9aEStTfetkADqbz/zcw5F/6usEdChTcUA+jdm+TlEYIAwUD5vvngrEIDNVfR6Ys1FnlMzrtIpDXHCqRmhP8zE5k0DAFWdNpg5LFlcMPjz78knUisu9ADpxA3qjTPHp4zpcKGywikIkhEuh+9RODtUI5r2+ZmOp5feVKWrrsR1Aj0PcJRmLksw2gaImnAIBd5w1mTI3E/OBziUzddigbUgC1Qdo2rVOhtjm68pMLaOAdL1Nkut7tRYA/d7AToJO3O5dk+FWQSZAT1x2WbFX2gnQn6m2+aIQ60WIQjcPgpTYI1OMlCmtNQuyKRC0cdZkqrTUFIKgvPmtGZCptLOGIEChywk2Cuw6Fx0T23zp/cwUB2XqkHQC9MSzs26DXJnqzkxR2qFFofceZmrbn7yV3ShTYUPwGOSmNklev26cMlP/6F9+DH/nJ3+T+hgCwR7Om0y18hFA8+FJHhbuUKYAuifkNL+vltVkiuhGc1i4as5EnZk6tPiA9rWief263lPUrfq7rECggKh6kDHVCKQWe36Q44roH66AdmlngIsFjzOZM7zqcln+b0Y9Ux9/6RZ//Fe31McQCPZw1mRql+WdC2BJbb6ufAsDm+iQJJgQM5nNl/LMTHUpU4YMk12rngECDg8NxhINAoVFSLsQ+lDtbIpE6QPoiyhAEKhaPedQkrlJcjxYRYgCxYLcGWzSDLc7+usjELRx1mTqMJ9klCnK0ePOsDdxoWHXNB9glCAimy+/T6aWEfHUXIdFC9BaolpX1lVnZop6SXW49++WMS/rccng4QooSd6qtkN5nMmcYb0Iq1A8/XkMbnc57hK6jKlA0IWzJlP315HQf1B1KVPLuonZ/42mKDSyQveSBGpl6vD1ywuNjCic2/XaAc3NmeL1S6vF2dxa9dtTcwZrYmWxKcfcr0qh7r7apvm9M1GrZeYM67gMxXM4j8EmyZEVmkVIXyAwOGsydahMcVgfkeb3VYTGJvJ/rsOm6jYWhCHmptaiHUCnDTF3Tc0BrcZxRq8f9b7HXdqzg5Lwd6+dTTLnAehVoDaZumCgnhtsWmSKkzJ1l5YW392Oz5kEgrMmU4fK1CIMEChaMtVt89EpG33LewHaXXi7gxufOU/7a77RZ4cai4aCeNb7AjveU6TKVMdQA/U6IKNM1WSK8PeujW1a1A8K3DJTq8rm49QzZUjULYNrJBAYnDWZOpzmU0qRfzAMTfNR3PzSnuW9AK3Nd1i4CvBQpjrtUMIAerN8eT+fRN2q314obLAiXuJbZ6aq1ysKAygdPQ0AACAASURBVMQhfbi6tET3u6+ozwSUJM8oUxzOY2BUMk5qmUBw1mRql+X3ntjXC9oywzS/n09qAszMlCnC9S1dmSkWytRAAJ1C8Ux6yDB1q/6utVDYYEW8W7FzQpT4TMCBMsUoM2VsvgtGNl9R6JrYyUSfgBPOmkwlWXHvA30Z0S4S5dYz1axI6bb5yNbJDGWmqHJcWXFvyTFAW43Q1cdlzkSpTHW3stNOY7Z34BmsFiG9zZe1AuhGmWJAXjaJmeaLWJwH2FfsbiUzJWCEsyZTu44PdMrJFK11T88U3c04HQigk1YjDChTVMqiWSdzCMpqhMMdeO0zUU/OLeN9m28dh7Q5rs7uMtrrBJQPB+a9bQLod8Rn0rpUgFbMbL62QiaZKQEnnDWZ6lKB1oS5jXqM/aAgk9Im2g0qU4Q2X5YjChTCoLlW9Q48MmUqxyIaaEAnzEx17XskzUwN7KCkwmEAHaCvawBK29qorvVnAbESZK7VOg5xwSiA3g7mcwjpc0ZeaPzzf/MicqI1ZU8aRsmUUup9SqlPKaVe6Pn631FK/Y5S6v9RSn1EKfWm0x9zHrqKAymfRIfG2AEaMmUI3uGNr/x3ISFx6b4ZA3TKVNqnTDGwabsyU3mha+XRN5KD7QMAh2m+/QA6QB+KB/arEeohGeIzGQVoHQdVNQIP4rKnTInNN4jf/OOX8V9+8Lfxr//409RHeSJgo0y9H8DbBr7+xwC+QWv97wL4hwDee4JznQSH1QgA7Ydn3xg75TqZwcxUTGjzde2bo94X2LdOhrIaYYSg0ymL3WSYdpqP34oioJxOXbWynRxsNfPzLxZRFY2g770C9skUF4LHFdebFADwSvX/BW4xSqa01r8GoJfaaq0/orX+TPWP/wrAa050tqPR18JMJVkbleAwxNysk+GYmaJUpu6P1gM02STALDq+f50o9xj29kwRF9R2q8I8SjtX95Qp6p6pvN4bCoDF+hbzGWl6ppK8INs80EabQIkyNYwb08clU49ecOrM1PcA+Jcn/jNno8sqWi/osiR9N74wUIhDRWJfNcpUVxaI7lodLqkuz8NTmQLowvp9Np+5OdNVW9x/kFlV5Jxqp1pXAH0d05abaq33bD6AdkjGwPx8U40A0IfiAVGmpsCQqBshU15wMjKllHoLSjL1QwPf806l1HNKqedeeumlU/3oTmitu62GiE6Z2vXc+AC6fNL4Ohm6fBm3zNSup2cKMNNzfF4/amWq8/Vb0FuPgQKi1lADtfWY5hqFxr7NxyDwvWmRqbr7ikEIfbM3zUd/Hs64ETLlFSchU0qprwLwkwC+TWv9ct/3aa3fq7V+Vmv97NNPP32KH92LvgWwlHmEdKAgcxUHpMpU38g/ZWlnnzJFQRC01r3rZAAzPcepGsEUnPp//YYeZABK67FsGleqIVPU03xd3VccAuiGtKwXQWvFDT15MXUIqzjAnZCEQYgy5RdHkyml1L8N4H8G8B9rrf/w+COdBvXkDqOVFn2WDECnTA1npkJkhSYZrR1SpiiuU1ZoaN0d1AfoiGd/NYJZvUMzIao17vVMNVOrdMrU6rCVnVgFqpcvH9h8XJSpVcvmoyZ4QEPyXn21ZKVM/daffgbf9z/+FqsagppMbYVM+YBNNcIHAPwGgC9XSr2olPoepdT3KqW+t/qW/wbAqwD8d0qpjyqlnnN4Xmv0ZkniAElWoCB40w8SF2plqudM7e/xiS5lKq6C3jQEof86AYQ2bW81Ah3x7FtRZIgM1U15m+bdoXjiHYZAMxEK8FCm2pmpFSNl6q5Fpjhlpv6v//ev8Au/80lWk3MSQPeLaOwbtNbfPfL1vw/g75/sRCdC1xg00Kxr2GY5Lhajf/2TYqiGYBXRtEPXE4Yjzd4mN+ELuyzHUxeLzjNRkpZeZYqKDPdWI9ApU7tabeHTpwaYVvbuh6u80HsFsf7O1KNMsbH5wvpzkjoUD5Q23yIK8HAd16P/HGCstNtdhs+7vP+5RQFDoh4JmfKCs21A73tiN6SAQkbfDagbK6KlwmOh+Pb3+ERXzxRglAQ+pMVgRa1M9Wam6HJcvQ8yVGQqHbCOiYYath3KVGk90tYQ7AXQGSlTmyTHxSLEJaMiUaBFphidyZxFlCk/OFsy1Xygd+c2KJ780sGwN00Qts+SAWirCLpqLQB6ZepwFZABVcFpYibUGBXB9v3uLYkXVZsAehvUi4W7uq8uGFQjtDNT5gGUA3m53eW4XES4WESseqZua2WKz5lkms8vzpZM9Wem6EKwQ+oG1aqNNCuzY30N6ADdAt/DGx9Al3Hpmw41oKxG6M678VtxQ15t0RlAN3YoDcGrlamDab67JCPr4wJKcqlU+b6uqxEY2HybNMN6EeJyyVSZYkRcZJrPL86WTDXTfHyshuEaAprR+iTPER4sFG6fCeBl85WkhbLcdCCATqRMdVZtEC5f7vvdq6sRCFWgPqWaiig0ytT+OplCNw9fFNgkOS7iskbigpHNd5fkuKxyXJym+Qxh4UTwjEom03x+cLZkqjczRWnz9ayTAQiVqZ7lvcB+AN03ko5VQECpuFAQhKGOMMDYfFSk876CR6lM9VvsdKF4oH9fIEBo83X0TNUEjzA3tUmboZM1o2qEu115rstFiCQryBZ5H+KGsc3HSS07Z5wtmeoNwS7oih+HlCmq0sckKzpXyQC0mamuGx9QKi6UBGGwGoGoZ6rvOgF0eTeAl8UOdE/zrdkE0PczUwAtedm0VtwsowBK0RHONu7SDBeLCBfLcsKQg1oGNCSKSwBda90KxeckVUBPGs6eTPX175BM8w1OzlFmbrprDxZEVpHWurO0E2CsTFHZjz2ZqYiwk4ujxQ50B9AbZYoqM9Vh88X0ge9tmtfnMFYfB+Jy15rmK/+ZB3nhpkztqrqPz72IAfAheeeMMyZT3Q3olJJ1HWLuUaao1LLeCbWI5qndNGh3BvWJ9gUOlZsCdDZfkuW9BG9FNPlYLxTu7ZmiW1F0GECnJnhdDeiUE8cGm2S/W45D9xVQ2nwXi7BWpriQF5NL4kbuPv/hau+fBe5wtmSqb80GiwD6gOLie4JnaN/ckmi83gRvu6b5qJSpsQD6KiozHP5fPz24L5BGmeqpRiDcrWh+bl+Oi4oomGt1GEAHaKfn2jYfwGPFDVCSlYtFxEqZygtdv3+4kJbbAzIluSn3OF8ylXeTKdpqhKHJOSLikhWD++YA/2cyylOfMkVxkxldJ0NFPHumHgEGnVwH5woChQXR6wcMB9ApCZ5S+2p1nZkiDaAX9YMnUK24YUCmNmmlTC34KFNtC+2OwXmAhtR9QUWmHslEn3OcLZkyNxFe03y6N+xNtcR3UJkiqkboGx4AqrUthOWmQ9UIgP/Xr68aAaDr5OrLTAF0ZFhrzZZMraKygsCARWYqyffJ1CLCHbHNV07v6TIztaS/Rgbt6gEu2SRDMj//4XLvnwXucLZkqs8qMh+mFE9ZQzc+qhqCvj4noKW2eP4QrS3auOtmTGvzdREEoN047vn1GyDDC6J82RAZLrOBdIW57WwS0LbU6Eo7+7Jl1NN87czURRyS9YMZNPsCo0aZYqCWtS00LnZabfN9jslM8dljeK44WzLVp0wFgSo7nYj2u/VNzlHZj2nO0OarKyR6GtDT3Hs2yVqZYmTT0ilT/ZboekGT4zK/V/eLRKkzU/leLQLANzN1l9ISBaP6XLaUKQ7kpb1ImAO5A+7bfDeMlKk/ffmufjg9J5wtmUryHFFPPmlF9JQ1NDlHpWz09RQBTY6DgiAAPTZfFKDQQOa5NyUdIAgAnbLYV24K0NU1NGS4W1mkOdP9qTmgrJCIQ0Vo892fMDSN45QZpfs2H301wl2tTLUzU/RkypzhwSpiYTsC9wPoN1seytQmyfEf/JNfxYeef5H6KCfH2ZKpXdpvf6xjmjHf4bAwjTKVDChTSqkyxOzdehwIoBNlXBplarjglOL1G5rmo1onUxY9dj3I0PSp7XqUKaAkeFTK1PZAAQIaZYoqo6S1xl0V9K7PxMjmKxcd81lx0yYuXLJJh9UIXBSzz9wl2KYF/uJ6S32Uk+NsyVRf6SNgyBRN8WO/JUOzaiPN+tfJADQTYYPKFNHU3Nii43qAgEBZHMrhkWSmBh5klkQPMsNDDTQ5LqBcsHyoltXEnOgGmOYaeaH3M1OLkDyAbmy+i0WIOAywiAIWgW8zKff5D5cslDKgCZx/7kWMOFRspvmuK4XsHPcFni2ZGvtAJyvIHLsZUyhTPWcCgAVB4Hsoc1Mvy/X8+pkzxcGIzUcxzcdMmSofZPqzgTSh+Ps78AzWCxrSCZhpvv3XTylFpp4DTX5sLzPFoBph07L5gDI7xaGKoFamHqz4kKkkwyoOEIUBrpYRm3Ndb8pznGMg/mzJ1NAH+ppwvH4sc+PdvhpQNgAQ2XxDpZ00dlqpKioEHRk8oLVYmEKZ4paZSvtV4RXR2qS+ADpAa/PtOmw+gLZx3LxnDjNTZkUJFYyld1m1n18uIxbKlLHUnn64xF3KYw/ezS7DVes6cSkTfVQpU1zs0FPibMnULsv7M1NEbb5jk1cAwc04L7CIugkCQLMmZSgzRbXixoZ0AjTKIjdlapflnbUWAN00X996KaA6E6MAOlASGao8UKMA3S8SpZwwNMTJkLzLRcRCmbrZlSudPvdiAa39f4Z3nmmb1aTzihGZMjbfIybnOSXOlkwN3fzIAugDOa4VUeljmo+RhND7GOtwTxGhMjVghzaZKX/nKgpdrpPhtnx5qEiUbJpvuLuMTAXK+pUpKuKy6VKmYvrAtyF5hthdLEMWytTtLsPlslm+zIG43O4yXC5aZIpJRqm2+ZhMF54SZ0umdtn9MjwD0sxU342PKIA+pJYBxuZjFEDnrkx5PFcysuKGTpm6H6o2YDnNtyAMoKf3e6YA2oxSZ2aqujFT5qbu2XyLiMU0382uVIHMuXioZY3Nd7XiYYcCYvM9ltiNKFMUH56D03xE1QhD62QAmomwocxU3cdFEPQeI52A39evb/+kwSoOkBe63ivoC7uB7qsV2TRffwCdasUNMGzzkallSb8yRdnKfpdkUKp5v18sQhbBakNcmlZ2+jPdJlldbMpKmdqaADqP85wSZ02m+p6OWfZMEZR2GptokCQQqBtD62TIlKkBixZoAuhelanRIlG63Yq9RaJxaRv7DukOKVO0mamBADqxMnVYjQDQ7sK7S3JcxM0ew8slD2XqtiJTTSs7hzPle5kpLhml602VmRKb7/HB8AJYwizJ6DSfvxtfWgzfjAEam68OoHc1aBNlpsaUqRVBAL0mU2PdZQQTokMdbwAFwesPoFNlpurly11kikE1QluZ4rAv8C7JcFERBKDqvmKgAt3sMlytGpuPgzK1Z/MxqkYwfVe3if+VYK5xtmRqcKKo+qDyv9+tXwWiaBsfW95rvkaRT+qrIagrCDx/qI/ZoVEYIAyUV5LAW5nqz0wBdD1hXZ8Ja6LM1NCgBWU1glHE2oqZUaaoM1PtVvbLZcRCBaozUws+manbg2qEuyQnrbUwMNN8eaHJcoqucLZkKskKLPue2BchtKbYOdefJQH8t42bVu/hLFDoPZ80lHerFSDfr13VMzUE39NzYwH0JRlxGc5MAf4HLYYb0AOaHFf1e9WZ44pDbBKam425FhcdNh+tMpXXuSSgPNMmpScJN9sMV60VN9QqUFFo3CWNzfdgxUcxu25ltx6dWXHn2ZKpoWm+NZm6oQfVjZXnKcMxZQOg6ZlKBqfBiF67bPi1A/xbomM235KoLX64lZ3Gpt2lOZTqvlZrohzXtg7F3z/TBWU1QnI/M2V+7ygzSndJtq9MmQlD6jU3lc13xcTmMz+/rUwBPFa4PNqkMCs7OZznlDhbMjWcmaJcKtyvbvgeZTc34yFlahHSLDoe6k4qv8fzzXhgEtOgfP38XauhtTvleYiu1UBmykyt+raLttWZupcv06hlhiz1VSPcJRlJrmTTcS6ONt9FFfi+I1SCikLjtlKB6vMQh+KN9dkOoJf/np68XG9TPH21BMAjqH9KnC2ZKjNT/dN8gN8nmrwol4cuwu4zAfxsIoBSmeo+UxQGiAJFoEwNT/MBhMrUSGbKu82XWiiLvgl6mvfnuAiGP9o/r2+ar9DN76hPbNLSpm1nFtcMbL7NYWaqriKgb2V/sIywqD6bqMf+zc9vVyMAPFrHr7cZvvCpNQCx+R4LaK2tlCmfT1mm6yceWN1CZvMNqGWmAd3nE/JQZqo8EwHBs1Cmlp7bvW16pgCayblxVdh/Zqp3wpBoVUqtTHW1spvrRJCb2ib5nsUHNCoVpepym2T3MlMAreLSVoGUUmXYm5i0mOvRLu1s/3sqbNMcSVbgi59aARCb77FAVmgUevwm4/PpeDeSbwH8k4TURpmqvubzCXko7wb4J53A+DQfUL6vaDJT3YpLPc3n8VpleWH1u0cx1ND3nqIa+2/I1P3XjzLwvUnzvVoEAAgCRVYpY7A5IHl14zghwbup1BWjAl0uQlKlDGhIU7spHqAnL2aS7ws/p1SmqLNlp8ZZkqkx+6MOoHt809vUEHhXpvLxzBRFRslmdQtFz9TQmQD/k49j73MKZWqogqA8E50K1JVNAgjPlBmbrzsUD9CUZG7S4h6ZAoCLRUTa63S7y+v9d+V5KmWK8Ew3lTJlJuYuGHQ6PTpQpszZqO1H0zH1RZXNR03uTo2zJFNDY9AAjf+fWhAX38pGaqOWmZJFjyShHK3vz5b5DnoD44uOgZJA+FQ7k7wqNx1oGwf8koShVUAAbTUCR4IH9K1NIlSmkp5WdsK6hqLQpWLWsvk47MKrVaBFMznHTpla8iBTpv38iz6ntPk4ZLhOibMkU80TO58AulUNgefMza7OcTFb4Dti8y0JdiuO5bgA/z1ho8oUkao4eKbqdfV9Ux4i6E1Viu8Aer/NR5XjMj/zMDMFmCJRmhugId9d3VeUypRRWxpLLWSTmaqtx3rNDbXNV/78f+vhEmGgyM9zapwlmWpWR/CpRrCdnPO6TsYyxwX4t4rGs2V8upMMlp4Vs/F1MhTK1MjvHuWE4SjB83+m9s9vo6kioJnm67b5QrJ8Uh307pjmoyQvhhDUNt8iIleAjPVobL5lFGIRBuRKkNnH93AVs1q+fCqcJZkafzqmU6aGbT7PPVMj02Dl1/zbfEOlnUBlh3pWEdLcUpkiyCeN7Xv0a9EO23y14kJg83UpQEBLmfLdM5UNKFOUmakem69sZacuEm1N8xnFhUE1QtPpREc4DW53GQK1v1vxakWf5brelD//4TpmtXz5VDhLMmWbmfIaQLecnPM5eWWT41rG/m2+cWXKrwJkJtTsqhH4kOG6k8vna5faETwKS21MqfZeJDpg81Fmprbpfp+TgVnfQoG71GSTmnOZXidKkmBsPqMCXSxpQ/pAtStwEe0V1F4uQ3IlyChTD6q2eGpyd2qcNZkay5JQKFN9+wKBapqPwiayykxxqkbwbIdWOwzt1snwsfkA/5OPJhTfR1zqhd6MeqaaULzvFTfDi44BmszUXdJt860JlSlj87WzXEopUusRKFWgKFD1a3i5CMltPrPepo2rZVzbf1S43qaIAoV1HOJqRW+HnhpnSqb6p2SA8ok9Dv22aKeWYe80194WdyZWi44pyFR/6SNQKUAEpGVs0THFOqAoUHtN1d1n8q9McaoAAYYD6HXvnPcVNznCQHX+/l0QqWVAlZnqCaBTERdzHdqlnUA1PUd4U77ZZXVhpznPNi1Ily/fJlltOxpcLcO6E4sK15sMD1ZNuSm1UnZqnCWZslFcVrFfydpGRTBPyL5ufrYThoDf4kcbZcprhssiW2a+7rMt3ioU71mZanqmhjNvvu0intUIRa2SH8KQmTui0s6+HBdVaaexzg7tR2pl6maX1RYf0ArFE3df3SdTEfkuvEfbFA/XMYBy/Y5kph4D2BRk+v5gsGkbr0fZPd38bG0iwF8DulkFxMoOtciWAe18mafXz6qV3a9aZtP0v6aotkj7A+hxlb2haEDvO1OdLfNMFPKi/P3jNs13VytT++e6Wkak1Qi3B2SqDsUTd19dLfev0+WS3la73mZ4uCrJlGSmHhOMBdABYzX4v8kMh739ThXZrZPxO81Xq0ADyobvPqfUQsEDCK6VRffVwvPy7NpiZ7QOSGuNbdYfQG/O5H/RcR+ZUqrMllCtuFkvunJcETZpjoLAwrrrsfkuFhFpaefNQT7JECtqgnd5cJ0eMMgoXW/SukJCbL7HBI0y1X9D9h2mtFsn43fSKckKBAoIBzI33tUWWyKc5f7sNEtlauV58tHG5qNSpgbrNuLQa9g7zTX0wL5AwL/tD5QPTUOkk2J6zvy8vgA64H9xNtCy+e4pLiH5Opm2pXaxoG9lP7QegdJ+pCYvj9rK1Kpsiqcg5q5wlmRqbJoPAFaeP6hSi7C3KTT0dTO2Wd7ruwHd5rVbRgG0bq6pa9hky4CWMuXpZrOzfP0o1smM2dk0RaJj3WW+Szv79wUCJcHzbauZB8yh5csUeaBamYoPM1MRbWZqm+5ZaqZtnFIFut11BNBXpapIGYy/3qZ4uK72BTJQ8E6NsyRTyUgLMwCsPYdgzZnGGtABf8rULiusupPM9/qArTIF+LNDbTrCgHaHkkdlalQt8z9hCIwRF89rk0aWLwNVjst3aWdadLafG6wX/gPfjc3Xr0xRdE3dJeWEb3Twfr9chqTZm9tdzi6AftsTQAdoSV5p8zXKFPV5To2zJFNWT8dx6PVJ1OaG7HvVRpr3d+8YmPP6ygHZKlOAX9ICDIeqAf81EslAd5KB706nsXUygOkJ80+mxlQgitLOvswUQNPrNGjz1StuKMhUds/iA+iVqUMV6JK4lX2X5Ujy4l4Avc5yEZGXLC9wm+S1zVcvXz6j3NRZkinbaT4am49XPmlMmSp7cJT3uoYhZcOE030RPJugPkBTbcEuM2XRM+V7ms8Qt1FlyncAPbMgU74zU8kAmSJWpg4tPqAsybxNMm/5yTa01rhJDqoRiElLvcOww+YD6JQg83MPbT5RpphjVwWrDyXhNnx/UNmMjC8JlKmxmzFg1rf4UqYqO5RhH9e4JerXprV5/XyrQEm1w7C9yuL+mTzbfBYEb0nQfWVj81EpU6uedTIASJSgTZLj4oAgAOX6Fq39rycCyuugNfarERbUZGp/V6CB+edHREqQ+bli8z1mSPJiUNkAqokiz8t7bW4ygOeeohGCAPhdk5JY5FsoSAtgYfP5JnlWy5f9K1Nj1qP/zNR4AJ2ikHI7EkCnVKa6dvNR2ny3SdZ5JrOrjyLI3EVcLgkJJ9CQk8NpvgfEitkrm7J9/aGpRliIzfdYYJfmo0/s6zj0WoiX5sXoOhL/WSA9qrYApb3lPTPFSJlqclx2r5/XnilmytRuZNwfKImyz2oE+945ilb2ATLFrRphQWvzdReJ0lURmAbvB62eqSgMsIwCcmXqXjUCsa12XS85rhrQRZl6PGDTDL1e+J7ms8u3AP5Wt9hcJ8AoU35tvrHSTsBnZqpadBwOq53elUXLacxt6q+Ta2czYRiFSDJ/+8tsVtyQZKbS8SLRTeL3TENk6iI2k2o0Nt+hdQW0A9+EylTXvkCiab6bHpuPeprP2HwmM0V9Hhc4SzJlYzWs4xBZoWsLxzVsVQTA3804tbjxAeUNOfFIEAA7ZcpbNYLJTFkqU74Ujp3le6rQQOZrefaI2lKeya+yWAfQRyYMve8LHGhAB0qrzbdaVvdMdVhqq6oVnUKZuk2yzrqGC8IqAmNRHRKXi0VIVtppAuiHytQV8fTcdW3zyTTfYwWbMkPfy01Lm8+u08mbzWerTMX+MlM2nUBsM1O+qxEsqi18v6d2I2tbgLLjDfDbpwZgMOy98kxc8kIjyUcC6HGIO8+TatshZaoiLhsC4rLpm+Yj3IV302HzASVxoVJcmhzX/d187a/7xrVRpioytYgCLKJAlCnuKJUpu6djX09ZNgQvDhUC5XedzFiOC/Bt89mXdnqf5uNYjWC94sbf68ftQWZXK1MDPVNVUN/XegvzHhmsRliEKLS/JeNA+XkYBarzwa+uRvBsPQLdrd4ArTJlrLxOZYpZAJ2avDyqMlPtPYYPGCxfPiXOkkxZZabMB7qnDwYbS00pVU1fPcnVCFNKO/0uX7ZWphgF0L2rnRZFot7JlE3v3MJv3s28d1c2Tf8eycsmKTpVKaDsnFtEAe5SAmUqzTttvsu6ioBAmdr2q0BUmam+agSAlrxcbzI8WEZ7e2AvhUzxx24k2An4V6ZsLbVy+opPgBkgqkYYaasGPAb1LRvQozBAGCiva25GyRSBMjWuCvslw01p55Ay5TcPZM40lpnyeSbzs7ryUgYXBN1XSVYgzXWnzWda0UkyUxWBe7CM9/795SIis9NukgyLKOj8XKckL9fbtNsOlcwUb9hkSdYLfnvUANNYzedmDFSZKW/5FruwMABv4/VpXiAKFILA0hL1cK3yQiMv9OiEIcfM1NK3xT5l3yMjMmUUIp9EYZt2VxAYkKy4Md1XXdN8RpkisNVudikCdT+Ld7EMSZQyoFSmDi0+g6slHcl7tE3xcL1POq9Wokyxh21xIODvA90mgA6UH/g+lSnbaT7fi45tmuI52WkGvta3JBZ2aHkez8pUapGZivwqi1NsPn9kyiIUT7C+ZdPT52SwXoS48zzNZ2zFrtLOVRxAKeCO4KZslhwfFjFfLiKyRcflkuPu1+9qGZE1oF9vsjp8biCZqccAUzJT3mw+yxuyz/JA+8yU32m+OBxWgcy+QJ92mg0RBvxdK1syRTEhOq4K+6222GVlie/Q9gFznbzZfBZ9ar4JHjBu8/kuOwaaXqsuMqWUKm01EmWqWwW6XEZkytSjbXav98rgakWX5Xq0u2/zSWbqMUBpNVh23TDqBALKD1dOpY9A1YDuq3MCjAAAIABJREFUUdkYe+2ApozSB2xJJ+BPWdzl1Q5DhsoUt8zULi0Gg95Am7j4zXENrZOpM1M+A+hpdwWBAcWkmulsuughCReLkMS+utl2TxheLkIkeeGtm6+NIZvvkjCjdL3JOm0+KtvRBc6STNnYV76VqXTCHjx/JEHbK1PeJufGVwEB5Q3Z67i/tTLlJ/NWB/VHqxF8PzSMv34rihzXWJGo78JVC5uPIjO1Sbqn5gxWBPsCzd+/S5kCzPQcTZHo1aqjrmFp+rhoztRF8ADTf0WjmHUF0B8Q2o4uMHqHUEq9Tyn1KaXUCz1f/2tKqd9QSu2UUv/V6Y84HeXOK7snUV9PffbTfKGXYLXWesKi49Bb141N3g3wrUzZkU7AH8mzt/k8F4lOqkbg857yn5kaD6CTZKZGAugU03wmo9VHpsrGcYppvm4V6KrKLN2QTBgOBdBD3OxSzycq7zWPtvczU5fLCLus8LaFxDVs7hDvB/C2ga9/GsAPAPhvT3GgU8CuzJAgM2UzzRcFXlSEet+cpTKVFxqZhze9TeYGMK3svghCblVuClTKlAeSUHdfMex0GnuQMWqMz2k+bgMpHEPxQKmmDNc1RN57psZsvjIzRWPzdRGXZvkyzb7AfjIVY5sWXj7H27hLcuSFrvfyNeehbWU/NUbvWlrrX0NJmPq+/imt9f8NwD/l7cGUD3Sf6sbYbjfAX2bKtogS8NtVZDMNBlSN1QyVqWUceAlW23Zf+Sw4zQuNrNDWeUW/dQ3DZ1p7VsuseqbqxnF/ZGqb5nVtTBcoli+P23w0jeN9rezN8mWKM3UvhAboVu9cV+3nD1b3M1MAzsbq85qZUkq9Uyn1nFLquZdeesnJz8jywqp/ZxEG1eoWn8rUeLDalzJVr0ixWifjrx26VKYsAuhelamJ03w+lCnragR/K26mWI9K+R3+GMomAc0DA6fSTqNM+awisLP5PCtTA9N8QJlRolA3HvVN8y1oFBetdZnj6qlGMJkl3/bjo4O9fAb18uUnRZk6JbTW79VaP6u1fvbpp5928jOM4jKmTCmlvBbQ2VYjlMqG+5txvbzXanLOKFPur5VNgBkolSmvC6FtyZSn0tWpmSkvE4YWhauAWZvk530OlMTFVpnyRfDM332I5NWvnafPKK31KJlaVwF0n8uXGzLVZ/P5V6a01r2WGtVS4bskh9bdq2SA5t/7nui73pTK1BNv8z1usLU/ABP2dv9L2IS9x1UgXyRhkjJlbD5PiottZspruSm7agQ7MhWFAaJAeSLC46uADHz2qdnZ/n4tNZtqhPqBz+N10hrDPVPV8mVfqjAAbJIMqqNp3OCCYH3LNi1Q9BAXo6D5JnhDe/kAOiVo1OYTMsUT9Qf6yIcn4M//nxL29tagbXkzBvzafLZ9XCvfC6EnVSN4tPkYteobss1NWbSZ5osr0umrSHSblu+psRVFFwt/ZMq8HmPKVPt7feA2Kbuv+kpXTWbKp1r2qJqK67LUqEiL+XlD62Ta3+cLjc3XrUydy36+7qveglLqAwC+EcCrlVIvAvhRADEAaK3fo5T6AgDPAXgIoFBK/RcAvlJrfe3s1AOYcpNZL/x8oBtLzXadTF5o6/UzczH1Zgz4y9087sqU154pa4Lu4Uy5nc0HlCrDxuO+R1u1zFe4epvm1g98vhSOjQWZaqsuT114ORbukhzrHouvPFOErNDWectTwIS4h3qmfK+UMWfqVaZWNLaasfnuKVNnlpkaJVNa6+8e+fpfAHjNyU50JHYWaxoMfEnotvkWYH/SySWZSlkrUzZBfb/KlO1rwW03H+BPmTI/w5bg+bT5xgLoQEnwfK64GQqfG/h64AMai3OotHNNYGFtkqx33xxQZqaAskLBF5kyakrX6hYzhel7au6mtvn6d/MBBJmp6ucdlnZSkTtXOFubzy4z5adtfIql5mv9R5OZslsnA/jJTO3S3FrZ4KpMJVmBonBrOUx7T/kheI3FziszZRNAB6ozectM2RE8n0MyNsoUlc03qJaZILNHJai21DqUqSBQJCtubpnafNfbFMsouPfwYIioVCMwRTI1M+U17G2vArn+sJqWmfJo89kuX/ZkXQETFx1X7zvXjfGTbFpPxGXa8Ie/FUU2pZ2Av4EUoPz9HgqfG6w9ZqZslKm6kNKrMpX31iIAzU3Z55nGiMsFwfLlm5EA+iUVmdpk9yw+oFxYf7EIz8bmOzsyVT8d22SmPD311XUNllkgwJ8yZVvX0P5vXMJ2ncyqsq58hE5tc1xAM53lmihMtfn8KFPGYudFXGym+YDy88BnaaeVzcdNmVr47eMChvfNAcBFXUbpX5kaKsj0nZkaC6DHYYBlFBAE0NN7tQgGV0QdYS5wdmRqqjLF7YndlzJVTxhOOJOXG7J1aaffIlHrdTKxHxVvqnXs431usyLFwNc0nynxtbP5Ao/VCBNsPs/K1GCRaGyW+HpevjxwJgplyhCSB31kiqCuYawaAShzS/5tvvt7+QyuVpFUI3BFk5mye+rz8SQ6ZZqvWXPDS9kA3BMErbV9uanHBb6T1snUZNjtuaZkA5eeVu9MIlNx4IUk2JRjGvhVy+wD6N7IVDpu89UL4j0qU3cjNp/5mk/yMkZcLpeh9wC6OdPFEPFcRiSlnYfhc4MrgvO4wtmRqSnKlK8PqjnTfK6Jy9S6hvJMjgneJDvUT2N1XmjkhZ60TgbwoExVi7P7unfaWHlavdPUNdhOqfkZaADsi0R9KlO2OS6fdQ2AfTWCL9wlWR0y78LlkkaZUmpgxc0iIrD5clwto8HuMgpbrbT5epQpsfn4wtzEbBvQuZGppafJuWmZKT85oGk2kR+CN6VCAmiTYfev3xS1zI/NZ98z5e9M9u+ptaepRwDYZrnV1OMFRTWCxb5An8uX76rSzj6YagTf03xXi6j3YeZq6d9OKxcvD7+nLpf+bbVBm4/gOrnC2ZGpaZkpv2Psdjafn8zUrj6TzaJjf2pL++cNwdt1mmCnAR6vVW63wxDwp0ztUntlahWHfqo2Jn4e+CIJu7Swm+aLyyCzj0ELU6I6aPN5XrtTFOW+wEGbzyhTHm21m+1IKJ5gX+DNSFAfKDNeFKWdh+3nBlfLSKoRuGLKza/uTGFIEpwrLvXU4/gHehQoBMr9mXazcly8lClfi4WNzWcDXyrQ1FB8UoXDXcKQWlvi4rUawTKKUGj3VRtAk4Ma+pyKwwBxqHDnbSF0ubx3yOYzn+M+lanbJOvsmDK4JCAtfYuX27j0rATtshy7rOi3+VaR19fNJc6OTE2xr3xJ1nM6nXz1TMXRuDKllPKyc25qvgXwcJ0mdIQB7SlDD5kppsoUp2xg3cpuvavTJ5ma8D73kJvapuXU3FgOz+d1MurOkDIVBqpS8HxmpvJBFehyGeLW877A213W2cjextXKL8l71NN+Xp+nCqD7vE6ucHZkqslt2K0kAdxPpkyb5vOrTFmrG3HgPOw9j3R6Uqas18l4yrxZlpsCjTLl+gNrl+WIQ4VwZHkv0GTeXN+UpxL0nQfbHyinDG2UqQuP03ObJB+0+AwuFh67r2oyNaa4+G0cv9mmnUuODS4WEfJCe8vgAeMED/BvqzVLjruVqctluVfR53VyhbMjU42SYPGBvvAzxj4ngO5DmVIKVjc+oCQT7pWpOXaoH2VqcjWCp2k+G6ziAIUGMueWmv2ZzE1768k6ZmWxV/amrfUI+Fmau0mH+5wMfHZfGQtoSJkqvx55bkDPBy21S4Kpx9LmG75OV8sIu6yoHxJdwyw57ivtNIrVOeSmzo5MmdURNiPjvvZMJVVBphXBiz0RvNx+tB4olSnXDehNNYJNaaenbNIEVRHwN425mzjNB/ixRG0m1AD/AwS2pZ0+zmT+/Ck2Hydlau2RuJifM3Yu37vwbnbDYW/zNd/dV2PKlO9zXW9LMtW1TgZo2trPoR7hLMmU7U1m7emDqg6gW4S9w0AhDpW3niJb+MlMTcjcRH6VKdt1Mt46uSZmpgAfAwR2S6oBfwSvDqBbto0D7j8PzAOAbQC9/G88kClrZSrAJvVz8zMTemNZoMul3yDzzS7rbT835wEI6hospvnM9/qAjc3n8zwucZZkyuYpFPD3JDrHKvKRBbI9D2D2u7kf9zc/awzeFLyJAXRv9mNuvy9w6VEFst5h6ElZ3E6sayj/Gz/KlG3PFAAvxZ1ja1sMLhaRxwC6rc3nr3Fcaz2qAjUKkJ8zpXmBXVZYK1O+yMuozbcUm48tJi2l9dSZkk7odAKqXWqMpsEAP8typyhTvrJl9Q5DZtUIaT6lGoGjWuanwX7q8mXAxyoge5vPd2ZqZWXz+Zucs1lxA5TKla/G8V1WICv0MJnyvOLGZi8fgLrOgY3N5/k8LnF2ZGqK1eBrz1SSFQgUEE3oBXKduUlz+xUpgJ8zTVkn461pvFLLbIlwFAYIA0827UTi4keZslOFfVlq04YaAi9nqm2+Ce9zL3sM0xxrSzvUVyv77RSbz5MKVC85HuiZuqiXL/shCeZM4wH08uu+lKBH2wyBasjl/fOIzccWU24y/gLoE1UgjspU7N7m46hMJdk0ZQqoVDwfpZ3M1LIpDzL+VKAJ+wI9q2W2i44BXpkpn+3ehoyMKlPL0BtxqVWgAYJ35dnmq0nnaDVCvPf9rnG9KffyDa3dAeB9xY0LnB2Zmpbb8Je7maICrTypQNOUKQ8234RpviBQXuoakok9U0DTV+QSU95TvnJcu3R6KN5XAH2K2ulLmbI504WnKIL5GTbTfL52mgLtnqnxaoRbTwTPqDqD62SWflvZG2VqvI+r/P7U+ZmAci/fkIInNh9jzFGmnNt8E8LCgB8VaHpmyl8D+hTFxXlmauLwAODnXNNKO/0ViU5+kPHQgL4IAwQWfWprT71zU6oRzJl8rG/ZWLay+yztvE1yLMJg9MHhchEi8dSfdGth8xnVyp8yZUemHlTK1I2ncz3apr2TfEB5Dw5UuevwccfZkanSarDLbZgPfufrZCbWEKw87FIrz2SXAwKMdeWrE8h+Ss2XMsVOxZtU2ulPmbKepI182XwTrEdPGxGaagSLPjVj0XogL1tLm28dh8gK7bx3DgA2SWbXym6WHXu4TjcWYe9VHCBQ/jJTtgH0WpnyRF6uN8PKlFLK+75AVzg7MjXliT0IlB91Iy8QT1A2fOxSm1yN4OFMdYXEhGZv1wRv6qJjwKh4HgoyGWamrNUybzZfYTXJBwCrhe/SzvFzKaW8NI6neYE013ZkyuOKm7sk7w0vt9E0jru/KdtYakopXC78kQRbmy8KA6ziwJv9eD2iTAFlPYKQKYYon47t/1rrhS8VaNrN2IdNNEVtWYQebL7M3pIBKjvNU2nnpMybY+KptZ700OBz9c4UgqeUBzI1RS3z1TM1IYAOVLaaJ4Jnt5uvvGH7sPrubPcFegx8m58xRlwulmFdOuoatsoU4Hc/36NthofrYTJ1tYrE5uOIqZNzPp76puaTVnHgJRQ/ieD5WCcz4WYMVEFvRnUNBq7JcFZoaD1hSbU3ZcpeBVJKebGzd1lufSZf071NNYI9yXNtX9n2OZXf46dCAiiVprElx4BvZaoMb1+O1BBcLiPc+LL5EjPNN/76XS0jfz1Tm3TQ5gMgNh9XTFam4hAbZpNz5TSYB2VqYqg6yQsUDpflTrGJzJk4KlOuLdGpjfreMlMTeqYAPw8N2wnKVFx1hPlSgaxJngf13KhMdpkpfx1Kt0k+OskHNGqZD2Xqxrb7ahHhzqPNF4fK6r1+tfJDXopC4ybJRm2+q2Uk1QgcMb3TyZPNN3kazH1majnRegQapcYFWCpTWYEwUAgtrUfAfcHp9PVE/DJTQPn6eVGmJj5cOb9OaQ6l7NXOdex+eq5WpqZkpjzVNdiQKaPIeFGmthkuF+FoHOFiEXqra7BZcmxwufBjqz3aZdAaozbfg5U/pcwlzo5M7VL7aT6gXNrpI4A+vafIPcGbOqEGuB2vn7KkGvCjTE197QD3pavJxFB8FAaIHLeyF4VGmuvJZHjrIYc37UyBe2WqOlNfkeEh1h4yU4YY2ayTufAaQLez+WplygN5ud1ldT/SEHzaaTe7bFQpM3jgSZkye/lGbT5P5M41zo5MTc5MeehMmayWVcqU1u4stTTXk6f5ALdWUTLZJvKjTNmukjFw3YA+deoRMCqQwzNNKFw1WEaB89+9Msc15Uzu1bKtZZ+TATtlqt4X6CeAPkmZ8kASbhI7FehiGXlrir/dZaOBeANfGSUTch+1+TyRO9c4KzI16+k48hRAn5S5cb93bk5pJ+D2TLNsIufZMo3FBIIAuC843U20+QDTfeXuWk1ZBWSwXrhXYHdpbrUDz2C9cE/Qt2luHT4H/AzJbGfYfD5W3NiSKZ/K1M3WjrhcLkK/ypRF+Bzwp5iZJccP12NFohFuk8xpHtcHzopMTbU/gFLWdm/z6Yk9Ux7I1Ix1MoBbZWqqJeMjWza13BQw1QhuFTxg2oSha2Vql9uvbTHwM803TZnyYfPtssKqY8rAj81X1D9rDBcLf8pUueLGxubzp0zZqkCXXm2+3Doz5SvwbWw+G2VKaz8t/y5xVmRqylJTAx+B0+k9Uyaf5ObNpbWeFYoH3IaYp1dIhF5KO6ecCfAQQJ9VJOo2G2j+vlPzST7C3tMD6O5VoEmfUYuwJjuuMMfmc209pnmBJC+sSjvjMMAiCvwoU5Zh78tFiLs096K4TLH5rpYRkqxwXnVja/OZa/m456bOjExN2+0G+JHQpwarXS9gzqpf7knrZDyoZbOUKUYLhQ1c10g0makJWSDHq3fqB5lJKpAnZWri756PdTKTlCkP18n8nafsC3R9nYzyZaOWARV58dSAbkNcLpal4uI6igBMz0yZ/8YljM03FkA3537cc1NnRabm2R++pvnsicvKcdh76mg90ISdOQXQl3G53NRtUH+GMlW9fq5qJOa8fs6VKfMgMzUU76H7akrY27UdClTK1MQA+l2SOX2fbycQl0XoZ+/cpi6itCMJF4vIUwO6vc0H+CEJtmoZgHoS0fW5rjfjC6HbXxcyxQhTF+UCjTLl8oNqbtjb1Yf63CLK9n/rAnNKO8v/jk+2DGiarV1ZfUk+XYF1veKmfpCZoLis4sC5fbWdaPP5UMu2EwneehGi0G473qbYfEopXCwi56+d2R9nE0AHyok+X8qUrc0HwPlKGa31ZJsPcE9eHm1TXC5CRCOfn6bSQWw+RpilTC1CaO3+hjz1xge4k4fnLe/1QFxmWDKA2+6rqUQYaC3xda0sTixddZkvm/Mg4zrzluUFskKz652bPGFobH+H5GWTlg8ytuW0pR3qR5myIXhApUw5r9rIkeZ6VG0x5wHgfKnwNi1QaHsF78qjzfdgJC8F+FPKXOOsyNSckfFVrQK5+SXMC4280JPXyQDuSMJujjLlpRqBF+kEKiI8OTPl5/XjpEzNJVM+yk2nqWV+agimKlOA24zSJsmtSQtQLV92TFymLO8tvy90Ps13W6+SsduB1/5vXMGQkCvLagRzPV1P9JVLjsdfuwfLknAJmWKERpma/kHlylI7RgVyRfDSWct73U4YAjMyU46JMDB3ms9P5o3T8uU5v3urKESalw8bLjBnwtDPNN/0ADrgNqM0h0y5rkYwo/K2AXQfypSxouxKO8tzu1amppJOo6r5UKbGJvmApnD1pgqsP644KzI1d5oPcPfUV4+xz1GmHCkJ5kxzMlMclSnn5aZTM1OeXj9eytSMnqnY7UOD+ftOUYGWVQDdadg7m6ZMrRx/Rpk/25a0AH4UPKN8WWemPJRkGvXExuYzWSDXmambyQqen4zS9Sazuk5i8zHE3DJDwF1nytzJK8ChMpWZagQ+Np/WGkk+tRrBvTKVZMWkwlXA/es3NzPlp2dqOklwdS7z505VpgC3BH2uzefy9dtMPJNXm89y51y5vsUPmbIKoBtlyrn1aGw+fgH0sSXHQPmZsQgD3HiYxHSJsyJTc7MkgENlauYeNcBhgHnGNJhr6+qY187ljS/N9YzMlNtzzSHovjJTnFThOSW+9eeBI6KgtS5tvgnXqV4s7DCAvk1zrCdaj65tvs1Em69ck8Inx3XpKYBu/nxrZaq6ns6rEbZ2yhRQEs+bndh8bDCHuNRPoo7zSZMC6K5H6ytlatY6Gceham7KVGk9Tlx0XKsbfNROM/Lvyr5KZth89dSjs/fUHOvR7YPMnHJTb5mpCTbf2sMarruJNt9FtXbHVQYPaNl8EzJTrkmnUXRsA+hRGGAdu7VEtda43thlpoBq2bFUI/BB/eHJaFJmls3nerR+RuZGKYVF5E7dmFu4CritRkhnTPOtHJOEJC+gFBBZjrED5XUtdNN+f2o0JGFO079r4jJDLXN0AzTvVZaZqclFoo7J1C6DUrBeCm2UIJfXaYrNt4xCxKFyrgBNCcUbXC4jp+fapmUtiY3NBwBXy1hsPk44xlJzbTVw2oOXzrhOQHkudzafURFmZG4ct7JPXyfjXplahAGUmtKq74e4zBu04ERc/KhlUxcdl2dilpnyoEyt4xCB5UNDrQQ5JAl1PsnSvrpYRB7qGqaTqQeryCl5sV0lU59nGYnNxwnHPIk6r0aYcJNRSjklLnOUKcCQKcfK1ITXzsfy5aOqERxaonPP5LJVPwzUaNtxGyvHZ5oTQHdN0LczgvoXHhYLbydWI6wXkfMA+l2aW1t8QDuj5O5cZnmvbSj+chG6r2uYGNQHqoySwyqC6035Z9vafGVmSmw+Njjm6ZiTzQdUxMUxwYsn7AsEyhuAq3UyHJWNotDIJhauAh4C6BOnHgH3Oa5dNm1tC+DR5pujdjq6AW6PUKbuXNt8UzJTcYgkL5A5XHFzt8vqFnEbGOLlMgt0u8uwjkPrpvjLZeRlmu9iYX8mwH1Y/7oindY23yr2slfRJc6STE0ahV64/fCcqwKt4pDV5Bzw5ClTx7x2gNtqhLkThu7sq+kEz3VecU4Afe1cmarI1KRy2uq1c6hwTCVTFx5a2e+SicpUZXO5zHLdJpm1xQeUdQ2ulanbxH7JscHVMnLagD7V5rtaRrXq97jirMjUrCxJ5LYaYc40H1CSCteLjqfekBdR4GzqsVGmpqsIzu1QbsrUDJvPRz5p8pkcL/Q+JhTvqoZgOyPHpZSqF7K7QFGUdQ1TbL7Vwr31OJVM1cqUw6nHR1v7hcJAafO5zkzd7PJJZwKMMuX2OgH2Nt+VVCPwwhyrIQoDxKFiVbAIlDca1+tkpi/wDVkpU+aaOg/qz3hPhYFyG0DnlpnKp60CAjw0oM9QgdaOVcVamZrwPgfcBr6NCjdpnYyHCcO7ZJrNVytTDu2i291EMuV4ag4oz3RpWYtg4PpcdWbKYjcfUE7zbVO3trFrnBWZmnOTAdyuRphrqa08EJc5WSDX03xTSGcQmLoGXhYtUCqeznrCZoTinStTMx5klq6Jyyxlyq1S3ZCpqcTTXRWBUZem9kwBbi21u4ndVz6UqdtdPom4XHrYYXizyyaFz4Gq18mDzTelZwpwvxTaJc6KTM3JbQBul5um+fTVLUBJXNgpUw4zU3MsGcAtaUlnlJsaLOPQXU/YEZkpZxOGc2w+xw325u86aajBcQ2BIXhTlSmXJZmbGQTPdd4NKMnU5YxpPpe22qOJypSPFTdT1TKgrCJIssLZw9WjbYZFGFjfj03h6KPH2Oo7KzJ1jDLlPJ80Q0lwbT1OKX0Eyqkod63sM/NJLq/TjLU7Bi6nMTlmpuZMGJb5RpfTfDmiyXUNvvYFTlOm1rG7XXjmTFNLOwH3man1lGk+swvPZQB9InG58mbzTSNT5vtdKUHXmxQPVpF1fvlqWSpYj3M9wlmRqdJqmPYhBbj9oJqrArncpZbkGotoWlAfKFUj56Wdk+0P92rZYmKFBOBYxcsLLCa+z51P86XTM1N1sNpV23hWTLbT4lAhDJTD6zTP5ls7zEyZsP2kzJSHAPomySYF0BdhgChQTpWgm4nE5WJRPqi7XXGTz5rmA9zVSFxvM+taBKBt8wmZYoHZypTDD6omnzRdBXKpTC3nWFceqhGm21ceLNqZaqfrBvSp5wEcZ6YmWldApcA6rCGYqpYppbCKAoeZqZk2n0PSOXWhMNCQKVfdV1pr3KXTbD6lFC4WodPczc3UALqxHp3muDLrvXwG5u/gqo7g0TbFwwkVErXN9xjXI5wVmZqbmXL54Tm7bdyh4pLmBeJZ1pW7UPzszJRLBW9mUB8wmTd3r9/8gkyHrewzrtPK4XWa/Xng0DqeG0B3WY0wJzPVVEi4uflt0wJaY5LNB5T2lSvikmQFkqyYPM0HuLPT8kJjk85QpowS5OhalTbfBGVKbD5emKtMrRehs/6k+oYczFFcHGZuZhIE1w3okyfCfFRIzLpWjpWp2dUIDtXOiQQBcEtcdkecyWUNQRioyQTdrc03oxrBLBV2pJaZm/wUm898v6vM1JwdeJd1jssNSTDkY2oA3fwdbhwpQaXNN0GZEpuPF46Z5nOpTMWhsl7WabCK3RVklsrU3BwQn0W5gCdlao6K5/hc021jx5NzM3/3lg6HP3YzbD7A/O65y5atZj7wuSsSnVGNELu1+QxJm0qmLpfuFgvXxGWCfdVMGPIheEA5zQe4U4JKm2+KMuXWdvSBsyJTs5Upl2Rqrv3hsGdql89XpnZZAa1PH6Y0r93UULzLctO5DeiA48nHGT1TURXOdTk5N+93zy1Bn6NMuawh2Gb5vDM5VPDMZ98U4lIXrjpSge5qMjWNJLhUpuaoQGbC0BVpuT1WmXIVQN9k1qtkANTZOLH5mGDuNN8ydvfUNz+fFCDJ3UyBpFkxuztJ6yaYfUrssnxeKD5218c1t9YCqM7lNIA+z77ipkytHI/8z8tQOrT55ipTcYi7JHPyIGOu/5wVN64KKWubb2qz98JdZmqWzec4gD7X5nNpq6V5gU0G2ImYAAAgAElEQVSaT1KmojDAOg7F5uOCY5Qpl5mpucoU4Gb6ak4nENC2ihycKSvmTYM5DMUfl5ni1TMFuC2CLcnUzMyUS2VqpqXmMoA+NXwOlGcqdKOWnhL1NN/Ec7lccVPbfFPPtIycWWpziEsdQHeW48r3fo4tDMlzYavVe/kmVCMA7lvZXeOsyNT8D0+H03xz6xocNlYnc5Uph7mbudNgPhZCc5p81FrPsvkAd8qU1vqIwlzX03wzlOooxMbRmbbpTOvRTGM6UNA3iQnFT7PYyxwXL5vvchGyCnvXAXTHOa6pu/nCwNRInP5cZi/fFJsPKK/rWWemlFLvU0p9Sin1Qs/XlVLqJ5RSf6SU+h2l1F8//THtMJ+4hMgKXSsRJz3T3HyS+fB08NSezrwZmxuTKzI15ybjcmruGGXK1QCBUSbmKosuFJe5k5iA28zb3O4rl9O9uyyf3DEFuF3fsklzrONwcl7Rpc13N9Pmu1i4U6ZuZwTQDRl0RabmZqYAd8uOa2Vqgs0HlH+Hc7f53g/gbQNf/w8BfFn1f+8E8E+PP9Y87GZsrgeaDyoXH+rHPLEDzJSp+kwurlM+W5lyNnl1TGbKkTI1t9wUKAm6kzMdQ/CcTvMV9XqYKXBb2pnPOlM9PedAddnMtB5d2nx3M6f5rpalMuUiW3ZTkbSrCWqZCVa7zpZNtfmAcqLPBZkyS47nKFNnbfNprX8NwKcHvuXbAPwzXeJfAXhKKfWFpzqgLY6zGtw99c21ZAwpdKFMmXUyU+Ha5pubmUryAoWLoP7MJdVAM0Bw6nMdFYp3pUylpnCV15TaMcqUu8xUMUuZcvkZtU1yrBe8hgdqMhVPnOZbRii0m3Ja08k0xVKLqmW/rm0+TsqUsfmmZqYuz93ms8AXA/iz1j+/WP07rzjm6dhlHiHN56lA9eixE2Vqpgrk0OZLjpgGA9ydCZg/zQecPjA8t1EfcNfJVe9VnPk+d0am0iMmDJkF0C8cqufG5psKp8pUdZOf0n0FNEqQi9zUbZJhFQeTFmcDJUlwleO63WUIAzXrfe7KVpsbQH8gAXR7KKXeqZR6Tin13EsvvXTSP/uo3IZLZWr2mo2KJDg4UzpTmVrUoXg3uZtj1DInFm2eI1BlWHMqzOt36nMdY/OtHE2tmjPN3c2XFRqZg7ziUROGqZs+tW02f5oPgJMKl7lkar0InY3836U54lBN/ky4cFiS+Wg7bS+fweUydJjjKvcXTs27Ae6UoGNsvnPPTI3hEwBe2/rn11T/7h601u/VWj+rtX726aefPsGPbpAcQaaMxO3mhqxnN2gDwNaR4jLXugLcjGcnR9z4ADfK1FzSCbTyZSc+17E2nyuL1vz5U7Fy9D4vCj27AmTl6LUD5tt8TjNTyUyCF0fO8m53u2wWwXO5vuV2l83KJl0u3CkuUxcvt/Fg5UYxu96kUGpatgxobEcXDzE+cAoy9b8A+LvVVN+/B+AVrfUnT/DnTsIxYWGOytTSkbIBHLNOxqhlbqyiYwieq+GBORYt4O5aHfs+dznNd8zv3skVvIrwzyMJ7n73yiLR+Q8NTjJTaT7ZTgNKm8+ZMpVMX94LtJQpR2RqDnEpr5O7CcM51wkoiaeL3XzX2wwPltHkFWoPVhHSXDvrDXSN0VdBKfUBAN8I4NVKqRcB/CiAGAC01u8B8L8D+JsA/gjAHYC/5+qwQ2iUKV4fVEk2dz+Y2yzQnAZtV2oLcERpp8vrNFPZANrqhhuSMD+A7oAIV783s373HD00bOszHfdw9dRJT1W+T4+x+Vxlpr54BplaOyQJdzMJXtPr5MDmm6tMOZxSuzmCTF0tYyfX6Xqb4sHEWoTyPE2NxJzfEWqMvgpa6+8e+boG8J+f7EQzYW5acxvQAXf5pKlleIDrLND8RceAmwb02aWdzJWpU5OX+qFh9r5HXt1XK0ckYXdUjsvN8EdR6NmDFqYJ3MX03NxqhHVVtVEUerIKMYa7XVa3dE+Ba2XqCx6uJv93l4sIf3m9Pfl5gONsvqtlOQk9dw1bHx5ts8nh8/I8zb7AV10tT3YeXzibBvRjgrlr1zYfI2XKNGjP2oPnvLSTz3UC5pebAu6I5/HVCC6UqSNU4cgNcTnmTK5sPvMePUaZunOhTCXF7AA64OZz8y6ZqUzVJZmnP9NcFehiGTo5DzDfegTaStBpz3a9SSeHz4GmK+txrUc4GzJ1zJOoy0mZ2T1Tjgoy80JDaxy3TsZZtmyORctVmeIXQDfK1KkDnhwzU3Vdw8wiUeD0JMH8HecE0GsF1oUylcwLe184bmWfWtgJNI3prpSpOWTqauly+fK8bBnQkJdT56aut9nk9nOgmf57XCf6zoZMHTUyHrn7UEhn3pCdjdYfk7lxmJmaW7DoOqg/5/0EuFtUfWxmqtBNGenpznR8PunUypT58zgF0E0B75wzKaWwdtB/pbUuqxFmEJeVQ+vxdqbNVytTDs50s8tmKS4Xi8iZMlXafPMsOvN3OXWe69E2xcP1PNLp4jy+cDZkqn4SnfFBtXJYjbCbqUzFoUKg3CkbcwieIRanPlNR6LKG4IhyU1fW45xaC6BVbeEoMzW3Zwo4PcFrGtCPySfxUaZcqWUNwZv3nnJRkpnkBQo9j+A5VaZm2nyrOIBSTennqZDlBbZpMZPgldmkxEFk45hpvqtlqR6dmrxcb9JZytSlkCkeOOYmswgDBOr0H55mxc2cfJJSCksHS2CPUTaiMEAUKGdqC0dlas5rB7TzZbwyU4CDfNIJCN6p1yYd0321dqaWVcrUzLDvysFiYbP14Ribz8VE391Mm08phctFdHJlyihLU1bJGBiScGoFb5cVyAp9VDUCcFpbrSg0Hu0yPJyh4LlSynzhbMjUMZmpWkI/8Zs9q/ayzc3dlKs2+CgbQFX86OhmPK/Wwm1dw9EB9FNfq6NsWrcEb+5uPsDFjeYIpbp6T536TE1mah6ZcrEz0KhKx9h8LvJAd7u8nsybChf9VzfVnzcvWB3u/RmngiFBx5R2AmXlw8nOlGTQevoqGaBl80kAnRbHPB0DbvZxHaMiAG5G2evlvTPPtKgW+J4Sx9RauFWm5tVaAA7LKOtqhBk9Yc6UqWPC3m4a0HdHWGprR2rZ9gg7FICTB76aTM1Spsqb36nf42leIMmLWcoUUO3CO3FGqVlyfERdw4kVl0Yt4xNAv97OJ50XixBKiTJFjmOUKaDZx3VKHEumXIyyH3+m8ORqyzGrgFwXiR5fjcDn9XOWmcoKBAqI5uwwdNTxtq0J3pxyWjdq2TEBdKBUj079wGf+jscE9U9t85k/by6ZcqJMHaEC1RUEJ75OzZnmXad2SeapcL0p9/LNyUwppXC1cLMv0AfOhkwd88QOuJHQ03x+2BtwpUwdd6ZlHDi5GQMzyZTLuob8/KoRADeZqUUUzFq26mpqtemZOqLE9+Rq2XGZKafK1Mx1MsDpSeemJlMzFRcH03PHkClznU498m/26s1Wphant/kMEZpj8wHA1erxXXZ8NmSqyUjMzyed+qnvmP4doHxCdhYWPkJxcUUQ5tz4yqB+4G4h9MzrFIUBQidh/RxhoBDOUIFcFonObVA2U6uu3udz3lPmTKfPTB03zeeiGmF7hM3nag2XUZVmK1PL0ytT5gY/d51M+884FW6OOBMABIHC5SJ0okzNsfkAt6t3XONsyNSxweq1gyWwRgU6JuztTi2blwVaRuHpn9hPkS1zpEzNfe2Ast3bhU17dPeVg8zU3B2GZvjDWTXCEZ1OrvYFcrT5ZhVkOlKmjrX5XEzzHaNMGbJzajv02AA6UJGXE9pqj3bzbT6g/LsImSLGLivKJ8qZO6KcBNCPmLwCjM3HRwUy/93pe4rm51vK/87NmpRj1skA5Y3chQp0bI7LhaV2zHVy8btXB9CP+N1zpVQfRaZOvKVhcwTBc5+ZOmKa79Qq0PYIMlWRwlOThGPUMoOrVXTSKcPrzfwAuvnvhEwR45gndsBNHuEUNQTcclzL+PTVCKchnbzWyQBuaiTmricC3O0x3OXzlvcauBj+2GalHRodoeK56pmae61cqGXmM29OZioISovdlc0350xANc3nSAWat5vPzfJlk0+6mkk6gUoJOuU0X23zHaFMSQCdFuU6kvmbr1cObb65LdoulamjpvkcjbEfo5axVKYc5Mt2Rzw0uFSmjtk6v4yD05d2pscSvNM/yByz4gYoydRdkp10t+Ix1QhA1cruSJmaU5AJuJvmW0TBrM+Di9gE0PkUiRpcLU8b+H60K/c8zv3clMwUA5xCmeLUDA2UFsWps0DJscqUA5uvbkA/ohn61GcyK26OUaZcEPQy7M1Mmfr/23vv8Liu61773dMBTAFRBwQpFrGT6r1atlzkKJGtuMeR5cQlublJnPvZ94sT24lsx8l1iq8Vl9zE5Tp2XOO4F8qSKNGyLcmiKIkEexGriEKCJPrUff84c4ARSZAzs/eZGQDrfR49AjFtz57BOeus9Vu/VeFcRZdIwL7mLWWwT+DNZzeRzRH0V9Y8AE6mJq+x6vNmGkw1eODKPlnmC1YuYs7ktNXxLc4MvMqF3o2Whd7gdPNFgr6Ks69gP3gZGs9UXOID+5qpVDbH///t5+g5etrac07HrAmmUtm80QHdC3GncRYoaL9LzYoDugcnYzAp89nPTGXyZtky97FeZBbrTjNleCHjxefniOIrv2JvCPo9MO3MVWyLAEVmohZ1U25WqeLSoxeu7KZlvskxNxadvQ2CKSgMO/ZAFG+yJoCY7WBqIlOxLQJMaaZsZV9/tfcE39p0hIGRlJXnOx+zJpgyzUyFPbBGmHQbrzgzZf+K3VSfVG+mnc7j7J/4pgZCV5ZFALckav/zq0cjUZMSuxcn5FQ2X7EFARQE6B5YI5juE9i1IpjI5IgEfRU37jR4UFIbNS3zeTAwd8RgoDA4xppe2DWYrAnsZ6aGJyqby1e8Hq3tNTX8tOcYsXCAGy9utfJ852PWBFPGmamgn3Q2Tz5vT49gY5yM7cxUxjAz5c04GdN9si/0Ng2EwTU4rR9rBHdQtReBi1FJLeCNf5JJZsoLAXqqELhUylT3nL2T33gmV3GJD5xSnH0Bupm5qWtGabP86GSBDPYpZN+McjSVnXyvleKaZNrKBDllvsozUzZd2bO5PA9u7+P21R1Gx4JSmTXBlA3NFNidx5XOmZWvwgEfubyeFLLbWZOZKD7shY6rjjNTIRNhdcCbEUWmNgRelGlN1+RJgGeUmfJAgJ7NVSw+B29MMsfTZsFUxAsBekHEXGm2rDFs33F8NJUz9HPye+LKblrmixb0ZbaOCUMTWeMyH9hxZf/1gUFOjmW4Y13S+LlKYdYEU8YaCQ8M6DJZJ9o3HZZr8+RnmnHxItti7hTvgQWBjTKfB6N3TMp84I3dhokoHgraQOtZILM1eWPaaVZ6dE0sba5rPJMjUqE2CZxONesC9EzOqEPNq8yUSUmtKRzwoMxntk9gfz7f8ETGrMwXsjd8eX1PL5Ggj1tXtBs/VynMmmDK+Io9YP+qL2WqTwraFwynDIOEcMBPNq/JWsyWuZmuykXx3miToPLPDjzymTIWe3vjYG9aUrM/79G8zOdF6dFIgD55wWfv85swLfN55MpeqfgcvJmFN5LKGnWpNYXst/zb0kyBPX3Z0HjWrMwXsbOefF7zwLZeblvRUbH5a7nMmmDKVLfhfog2J1abDl/2YghspjAipZKhtDBVirOpm0rlKh+UC95opky7HsGbIMH0oiHsQfkqlal8nAw433MvbEmM9Ekhb0w7Tcp8XmmmKh3bAt6U+Uy1QF6MbxmZMFuT431Vn2U+97lMmcjkSOfyxBvMrBFsrOfZI6foG0pVrcQHsyiYMj3JdMYjAPQOTdhaUpFpZ4WBS9B+95XxydjtCLN4ojE3WLSvmcpYykx5ESSYrcmbwMWopBbywiDTMDNVcPa2aZBpWubzSjNlEuA1epDBG8+YZaZca4RRS0FnLq8Zz+SMy3yeCNBtBVMWkghDE2bu5zbXs76nl6Bf8dJVHUbPUw6zJpgyLTV0JQrB1Gl7wZS5p5M3mSkzHZB9HVfacBxJOOAjk9PkbHZiGpqbAjQ3hBhJZa2aB2aMR7fY1XFprY0/v0ihdGyz0cK4wzBk/3tuOqXBG81U3qjM5/rz2Qw6x9Jm2bLJ8S2WBN9uUGZU5gv7GU3b26d8XjOaNgvwYKoiYyPwdOfymWimbJT5tNas7+nlpmVtJAzE8OUyq4Ipkyv29lgYpeCYxWAqk8ujFBU7HkfqOTNl8YRsOo5kSqhvs3nAPDPVGg0BMDiatrImcIK8epoXmMlptMZ4lBPY1waaurKD3TVNZPJWTDttltXG01mjLFBDyI/Wdo9Ro6mskc7F3SdbmSk3S2ISuDSGAuTy9rrmxgrfSxO7huLH25C3DBcyUybdfDbKfNuPDXFocIw71lavxAezKJhKZ810G0G/j/ZomD7LmSkTfZIXJxnzk3F9ZqYAq+WrlIXMVFs0DMBxi+67dgToNoMWs+YBmLposPr5WfCZAstrMhy74wY9Y5a7+YwyU5M6LrtrMslM+X3K6pgbkyHHLlHLOi4bAR5ANOwEPjZsG4YmzDNT4YCPoF8ZBVMP9PTiU/CKNZ0VP0clzJpgyjStD06p75hFzZS5vsW+Pqk+NVPmPkXgTWbK5DvVHnMyU9aDqTrScU02WRgECWEPLhomjMdLOY+16zZulpmavGiwmpky1Ex5MrrFLJgC19fJUrt/4XliRpkpux2GbrBhKkB3rRVGUhnjNR0eHAMwKq0ppRxXdoNM2fptvVy7pIXWwsVstZgVwZQN3QY4IvTe0+OWVjXVOVcpXgQJNsbuwJQhqQ3qMTNlQzPV2uRmpuyU+fJ5TTavLZh22rfaMG0gcJ7Lzrq01gXvKxMBuhdlPjMHdKWcjIvtAM+szBcoPI/d0qNpO3tjKFCXmSlbpcdRW8GU6+tkmJkamsjwzw/v4ZLuBEvaokbPFTUQ6+8bGGF330jVS3wwS4IpV7dhcpKBQmbKdpnPYE3uF33Iol1DxtD00Q3EbHfz1V1mykI3X1vMbpnPlveV3dKV+ZoaLJfUrAR4lsXe2VyebF4bZYHArq9TNpcnnTMUoFsu82mtGTMs84GzT7ayQDYCl0bL5pg2AjwAn0/RlYjwyM5+owaQT/xsNwMjKT5297qKNcIu0XCgYgf09T29ALyqipYILrMimHJPMqbzd5KJBoYnsta+8KZu1R1x52Tcb7H0aKyZ8qybz0Tf4kFmyoIDelPITyTo44SlYCpl2B0K3mmmbHx+toIEK8GUZRNfd8amSWbKebw9LZC7JlPTTrAnip/I5NEao2wZuI7jdtbkirONxslMlvksaaYsZaYAPnjnGrYePc1nH9lX0eO3HjnNlx8/wD3XL+LSBc3G64kalPke2NbL5Qub6Uo0GK+jXGZFMDXpoG0hMwX2vKYyhoFLJOinuTFo1/sqq83KfF508xnOdvPCQiLtjt0xWJdSitamsLUyn+kMQ/exnmimLGQWbX1+7nfTyCDTtUawtFfuezPNTDlmonb2yQ2ATMbJuO/Hlije1V6ZDvBtDPmtl9SMRtxMCtAtrSltJzMFcOelXbz28vn884Y9bDlyqqzH5vKaD3xvK63RMO971UrjtUBh+HIF+3Tk5BhbjpyuqlFnMbMimLJR/oAi405LpT5TfRJAMh6h97Q9AXMql694yDEUB1P1ZNrpjYUEVO5e79IWC9dVmc/NTNnyu5nKAtnQJ1kq82VsBHh2s2WTwZRh9rwhaM9x3F2TjcyULVG8m00yzkyFAhZ9pgo2BDZmzlnLTDnPYzqbz+XDd62jPRrmf3zz2bKC9a89eZAtR07zwTtXEzcw6yym0szUA9v6AGqil4JZEkzZOHiCfeNO024+cAK8PquZKVMBut0rdrAxvNeDzJRb5qvQvd6lPRqynpky1Uzl9dTAa1Pc74GRZqrQOWfrqn2y9GhBC2TrO+UGiiYdhuCcaE6OmXdewVSgaKJPsq2Zcp/HODMVtpeZGp7IEvQrowuGxrDdrkdbAnSXRGOQf3jDpewbGOXv1+8q6TH9wxP8/fpd3LSslbsum29lHVC5ZuqBnl5WJWMsbmuytpZymBXBlK3MVNKDMp+VzJRlzZSNzjn7pp31lZmaFKAbfn5Omc9SZmpSM1U/BqduV6fJ5+fqGw6dGLOypgkrmSnLmilLZb618+NsPzZk5fNzM1w2MlO2y3zG1giWu/lszcCzpZkaTWXxKbPP7kxuWd7OvTcs4ou/fJ5f7T1+wft/7Mc7SGXzfPQ16yr2UjwXlWSm+ocneOrgYM1KfDBLgqmpzJTZFysS9DOvMcgxS/YIpt18AJ2JCMdHUtZGbRiPk/GgzGcqQPcqM2XiXu/SFgsxOJomb2HUjZXMlO3OOQsZl6ZwgIUtDezqG7azJqs6LlsdhnaCqasXt5DO5uk5OmS8pnELAV6D5TLfuKUyX6NFn6kRCzPwwgEfPmWvm+/w4Bit0bDVIAbg/a9ezdK2Jt73n89Nzto7F7/ce5zvP/sCf3jbxSxtN7NCOJNoJMB4JlfWeLAHt/ehNRJMmeJeHZsGLuB6TVnSTBmWr8DJTGkNA8P2shs2Smp2NVOGAnSPMlMm7vUurU1hcnnNqXHz0oyN7/mUJ5fdzjnTDN7Kzhi7rQVT5kHCVIeo3TJfxPB4cNWieQBsOjBovCYbgYvtMt+opTJfUyhAKpsna+EidMRCZkopRVOoMmH1meTzmsf2HOfmZW3Gz3UmDSE/n3jT5fQNp7jvB9vOeZ9UNseHvtfDotZG/ui2i62voZKRMut7elnS1sTKzpj19ZTKrAimbGmmwNFNWSvzZbVRFgggmXDsEeqlwzDoVyg11UFpA+NBuZM6LrtmlKYBAtj1mrIRuLijHk6O2dFx2dAnAazojLF/YNTKUGgbx4OQ38kk1FOHITgzRJe0NbHp4EnjNY1bEKAH/D5Cfp+1cqhb5jPOTFkqP+bzmqMnx61ok5rCdkTx214Y4sRompesaDd+rnNx+cJm/vttF/OdzUdZ33PsrNv/deN+9h8f5aOvWWf8fT4X5QZTp8bSPL7vBK9am7SeqSuH2RFMWdJMgeM1ZTczZfZlczsMbc0MNBXFK6UIB+wdPPN5TSZn5uptO9sC5uamLm1ReyNlbJT5lheu3Hb12skC2bBGAFiZjJHNa54/Pmq8JhveV+5Yi9MWMopgT4AOTnbq6YMnjTsybWimwMnijVsSVrsZLvNxMgUrAsPg5XOP7Wf7sSHuvrLb6HnAKT2OWNinR3f1oxTcstx+ZsrlT25fzrruOH/53Z4XVUUOHB/l04/s5c5Lu7jVo2DO7ZostST68I5+snld0xIfzJZgymJmKhmPcHwkbUXgmc6a6ZPc9UB9ieIXzmu0ctIDO4arTjnOvjWCSQbPZWrYsXkmyEbgsri1iXDAZy2YsqFPAiczBVjRTU2uyTBwWd4RZecxO/tkyxoB4JrF8xgcTbPf8G9wUjMVMtunxlDAYmbKTpnP7cz+1qbDFT/H5kMn+YcHdvHqdUl+59qLjNYDrl2DeTC1cfcAl3QnPJ09F/T7+N9vvJyRVJa/+M4WtNZorfnQ93sI+X381W+u8ey13UB4uEQR+k97eulKRLhsQcKzNZXCrAimpk7Idsp8AP1DFjIJFuYFtjSFCPl91oIpG6L4S7oTbDly2sp6bLTWu9my+sxMFYIpC5o3G12rfp9iRWeMnZaDKdO9WtrehN+n2NVrLqy2dXG1dn6C7ceGrDQPTGqmLJRFrlrUApjrpmz4TIFTkrOlmRq3VOZ7yYp2fvuKbj7x4G5+tOWFsh9/eizDn3ztGZKJCP/rdZdaKR81hf2TmrBKOT2WYfOhk56V+IpZ3hnjz+9YxUM7+vnPTUf48dZjPLbnOO995YrJiokXxMoo842msvx8z0DNS3wwS4IpVytj2s0Hdu0RbJh2KqXoiIetlPmyuTx5bTa8F2Bdd4L+4ZQV/6upkoz5mA3bHYamWUWA5oYgfp/ixKjFMp+p2DvpQTBluKZwwM/StiZ29Y5YWJM9G4KRVJZDg+aWDVPWCOaH3Ivbm5jXGGTTATPd1KQDumkwZdFIdDSdI+BTxsG5Uoq/e90lXL1oHu/91nM8e7h0Z2+tNX/+X1voG5rgU2+5gkSDHTPKplDlA3xdfrnvOHlNVYIpgN+7cTE3LG3lwz/cxod/uJ113XHuuX6Rp69ZTpnv0V0DpLP5mpf4YJYEU7Z8pmAqM2Vj4LGp2NvFltdUxsKIFIBLC+nUrRayU7YyG7YzU+msNta7gTNItKUpxPFhe2U+071alYxxfCRlpUM0lc0RDph3PQKsSNrp6LPhMwVOZgocwa/xmiwFeOAEClctajEWoY9ncgT9yvgYZXP48njafMixSzjg51/vuYqOeJh3/vsmjp4qzfLmP544yPptvfzPV63kiovmWVkLOMOOTTN4G3cNEI8EuHyh+Qy8UvD5FP/4xsvwKcXxkRQfe+0lBCyc087HpAC9hDLfT3uO0doU4prFLZ6uqRRmRTBlUzPVOemCbu41ZaOkBs6a+myUHSeH95qtac38OD4FW4/aC6bqMTNl47MDp9RnJTNl6aJhdVccsCNCT2Xs7dPKzhiHBseMXaJtCNABViSjBHyKnhfMv+e2AjyXqxfP4/njo0aNDeOZnJXgzmaZbyydpdFQL1VMazTMF++9hlQmxzu+9NQFS0fbXjjNR3+8g9tWtvOuW5ZaWwdA1ND7SmvNxt0D3LK83fOAppju5gY+d+/V/O83Xs5lVQji3GDqQi7oE5kcj+zs55VrO439AG0wK4Ipm5mpWDhAU8hvnJnK5zXZvFmXmkuy4H1l2r1ja58aQwGWdUTpsRBM2eoGiwTsDYAFd+yOnT/QtmiIAYsCdNPPb2XSEXvvtKFPypoZrhbjitD39CpLLPkAACAASURBVJmV+lIFw1XTMm044Gd5Z8xKZiqVsZfBA0eEDvC0QXZqImMnC9QQtPe3N5rOTY5escXyzhifeeuV7Okf4U+//sy0ZpCjqSx/8rVnmNcY5J/ecBk+yyfoRsMy366+YXqHJqpW4ivm+qWtvPYK847GUmgKX7jMl87m+eIvn2c0neNVNZrFdyazIpiaFDFbiNaVUiQT5vPw3MDFRpmvKxFhPJNjaNzsin1SqG9hTeu6E2yxkpmyk0UIB33W3KrBfmbKhgDdlj6pLRqmLRq2optKZ82bLFzcIM+0oy+VzRMJ+K0ELmvnx9n+wmnjC5kJS1kgl3XdCUIBn5EIfTydszKOxK4A3V6Zr5hbV7Rz311r2bCzn7/9yY5z3udD3+/hwIlRPvmmKzzplGsK+RnL5CpuaNi4awDAM0uCeiHo9xEJ+s6ZRRxJZfn8Y/t5yT88wt+v38UVFzVz48XeWUSUg718ag1J53L4fcpa6jOZiBhnpmx2GHYW2SMkGisXQ2YsDe8FuLQ7wXc2H6VvaMKos8NaZipoT7cBzrpiBlPii2mLhjgxmkJrbXSCtyVAB1jdFbNT5svmrHgnAVzU0kg44GO34bomMvbWtHZ+nG8/fYT+4ZTR93wik7ciPncJB/xctiBhpJuyVeZrtF3mC3pzWrrn+kXsHxjhC794nqXtTbz1uikh9befPsJ3Nh/lPbcv54aLWz15/aZwAK0d/VwlpcyNuwdYlYxNNknNZqLhwIusEfqHJ/j3Xx3gK48fZGgiy3VLWvjbuy/htpXtNe/ic5k1mSlbV8cAybi5caetkgzY6zCcLPMZDMp1uaQgQje1SLAlQG+Phq2N3AE7flwubdEwE5m8cVu022Foo/zgjm8xHbdhyykeHNuG5Z1R88yUxePBum7ne25a0p7I2s1MgWOR0HP0dMUltvFM3tiCAJwutaGJjJVS35gHZb5iPnjnGl66sp2/+v42frHHGea7t3+ED32vh+uWtPCnty/37LUbKxiT4jKayvLUgUFesnJ2Z6VcouEAI6ks+wdG+IvvbOXmjz/CZx/dx03L2vjuH93IN//gBl66qqNuAimYJcGUzZIMOGW1/uFUWYMWzyRjscyXtOSCPiVAN/8CrulKWBGhT2WmzA6gXYkIx06PG5djXNLZPEFL36lWS15TNqw2XFZ1xUll8xw4Ydb2n87mjUfJFLPCwow+p8PQzppWd8VRyryjbyKTs2LYWcw1i+eRyWmeK6Ptv5jxdNZKme9lqztIZ/P88Lny/ZzOZMyjMp+L36f41O9cyfKOKP/tq0+z7YXT/PHXNtMQ8nP/m6/wVMjc5I64qcCV/Vf7TpDJ6ZropWpBNBJgw44+bv/ERv5r8xFef9UCNrz3Nv7ld6+y2mFpk1kRTFnPTCUi5PLaqFPGZkmmI25nPp9NoX5DyM/yjhhbj1R2IHexlZlKJiJMZPLWxn+kc3kr2jKYGilj2tFnqzsUHHsEMO/oc60RbLGyM0bfUIpTBrMDUxZ1XNFwgMWtTWwz7OhLZe2W+aBo6HGFpb7xjB3N1A1LW1neEeXLjx80vpgZS2Vp8KjM5xINB/j8vVcTDvh57Wd+yc7eYf7pDZd5Xj6bFFZX0K26cXc/jSE/Vy+qvQVANVjc2kTA7+OPX7qMX/75y/jbuy9hSVtTrZd1XmZFMGU7M+Vmgkx0UzbLfOGAn5amkHEwlbEY4IFTAtl6dMjoAJrO2THt7Eo0AHb8wcDeOBmYckEfMPSashlMLeuI4lPmHX02AxdwvKYAdht09DmBi73sxpr5cSuZKZsZPIDmxhDLOqIVi9DH0zkiFrJASinedsMith49XZY55rkYy+Ro8rDM57JgXiOfe9tVBP0+/tttF/PSVR2ev6Y7Ime0zMyU1ppHdw1w48VtVs9z9cwn33Q5T33g5bz3lStpj3k3Nscms+KTsZnWhyKNkoHXlM1uPnBE6MZlPouZKXDMO4+PpIyCPBvjZKD4M7M4w9BiNx+YDzu2edEQCfpZ2h5lh+HsOdtZ4ZUWZvRNZOxmy9bNT3Dk5LhRtmzC8j65XLPYGXpcSYfYRCZvJTMFcPeVC4iGA3z58YMVP8emA4OcGsuwtEoZiCsumsfmD72CP79jVVVez9WClZuZev74KEdOjs8ZvRRAwO+bcYHjzFrtNNjUksCUC7rJidlWl5pLMh42z0xZDvBcca6JE7ot0073M3vBgtkq2M1MtTQVynyGXlO2v+crkzF29ZllXJz5k/YuZLoSEWLhgFFHXyqbt9bNB05HH8B2g+yUbWsEl6sWtTA0kWVPf/mZPFtlPnBKZ6+7spsfbzlW8UXD/Q/vobUpxBuvWWhlTaXgxWcyHa4ZZbnayY27HUuE2+aIXmqmMiuCKdsHT3e48DGD4MUd3WLrhGzF+8pi6RFgTVccv08ZidBtrakjFsanbGam7BiugvPeEg1B48xUKpu3MuLGZXUyxuHB8Yq6i6bWZDcLpJRiRTJmlJmynal2gymTUp/t0qOLa9656WD5pb7xdM5KN5/LPTcsIp3L882nDpf92KcPDvLYnuP8wUuWWnVAryeWtDWxuLWRf3l036S/Xik8umuApe1NLGxp9HB1gimzJpiyecWulKIzEbaSmbJ1Qu6MRzg+kp583kpIZe1mphwRetQomLJl2hnw++iImfuDgaNRSOfsOaDDlNeUCba1gauS5mNlbI6TcXE7+irV4tkuPbZGwyTjESMRutPNZ/9we1FLI23RcNlDj7XW1nymXJZ1xLhpWStffeJg2ZYbn3zIyUr9rsdDdGtJ0O/jvrvWsv/4KJ9/7PmSHjORyfHE/hNzpotvJjMrginb7dkAXfEGMwF6QVht60TjiuL7h82zZVb1JN0Jth6p3CHapl1DMhGxkpmyNRC6GMcF3bTMl7PWYQh2xso4ZT67h5GVnVFOjWUq9g3zIgu01lCE7lWZTynFNYvnlZ2Zci+sbNsQ3HP9Yl44PcFDO/pLfszTB0/y2J7jvPvW2ZuVcrltZQd3rE3yqQ17OHLywrYkTz4/SCqbl2BqBjArginbmSkwL6uls26Zz052wx3AbLYmu5kpcEToJ0bTFQeebjeYDfM112vKFNtCfSgEU6YCdIvdfAAL5jUQDQfYaSBCT2XsX8ismAzyKluXbQE6wNruBPsGRhiv0HjVtgN6MVctmsfhwfGyjg3u+7ClmXJ5+eoO5icifOWJAyU/5v6H99DSFOKeG2ZvVqqYD/3WGgA++qPtF7zvxl0DhAM+rl/qjSu7YI9ZEUylLY60cHFHylSccbE4TgamMlO9pys/IWc8CBJcEXqlTug2W+u7Eg1Gn5lLxoOgsy0aqqtuPnCyGiuTlY+V0VqTyuasX8i4HX2VmnfatmsAJzOV17Cjgiye1toTB3SXaxY73kPllPrc0Uu2g6mA38dbr1/EL/eeYG//hT+/zYdO8vPdA3MiK+XS3dzAn7xsOQ9s6+ORXefP4G3c3c91S1urKpQXKmNWBFOprD2DRZdkPEI6m+fkWGUmkFOmnXb+CJJx85EytnVcMCVCr3Tchk1RdVciwlg6x9CEnYHQtjNTQxPZsoSnZ2K7mw8c884dvZV5hWXzmry2WzYGR6PUFg1XHOQ58wLtl/mgMhF6OpdHa+86x9bMj9MQ9PNUGX5Tzxxy/KDmFTpNbfKmaxYS8vv4Sgk2Cfc/VMhKzWKt1Ll45y1LWNrWxH0/2DbtGJ7Dg2PsGxiVEt8MYVYEU2nL3Xww1Wpfadlo0obAwlBhgObGIKGAz6zMl7OnT3KJBM1E6GmLWQRbXlNelEPdkTIm9gi2y3zgjJUZnshWVKadtP/woHy1MhmtKDPlZMvsZ6a6mxtINATZXoEIfSJjN0t9JkG/j8sWJni6RCf0kVSWv/nxdlZ3xXmpB95FbdEwd17axX9tPnreTtHNh06ycfcA77pl6aQ7+FwhHPDz4des5eCJMT738/3nvM+kJcIc8peaycyKYMorzRRUrlGyOU4GnJJMMm4msLa9JpdLFyTYerQyEbrN1nrTANjFdokWikbK1FswZSBCn/IIs59xcTr6Rso2o8zktCdZIKUU67rj9BytYJ8KmQcvSzXXLG5h+7EhRkuwufjkg7s5dnqCv3ntOgKWjwUub7thESOpLN/dfGTa+9z/0B7mNQZ52xzRSp3JLcvbufOSLj79yF4OD54tRt+4e4AF8xqqZmIqmDErgikvTjLJhNlIGS9Kasl4xKjMl8nlCfqV9Unbl3QnGBxN80IFe5Wy+NnVc2aqLWbugm5bMwVTHX2VOKG7JUsvnIpXdsYYz+Q4crK8wHgia2c80blYOz/Brt7hyaxzyWsqZKa8DKauWjSPXF5fcJzLjmND/N9fHeAt1y6cnO3nBZcvbOaS7sS08/qecbNSt869rFQxH/zN1fh9ig//8MVi9HQ2z6/2HuclK9qtH68FbyjpiKOUukMptUsptVcp9f5z3L5IKfWwUmqLUupRpdQC+0udHtsmfQDtUTMTSNvjZMDp6DPt5rOdlQK4ZEEzQEVDj22W+TrjEZSioqCumEmhvs1gqqkwn89weLbtzy8eCdLd3FCRPsm2y38xbkdfueadKQ9Lamvnx0nn8uwt023cDTq96uYDuHLRPJQ6vwg9n9d84LtbSTQEPR+h4s7r29M/wuP7T5x1+/0Pu1mpxZ6uo97pSjTwp7cv56EdfTy8o2/y908fPMloOid6qRnEBf+6lVJ+4DPAq4E1wFuUUmvOuNs/Al/WWl8KfAT4O9sLnY5sLk9e2786dk0gKw6mPCipJeOOkWil3WqZXJ6gByeZVckYgQqd0G0GwkG/j/Zo2GimIhRlpmyW+WIWynweZKbA+fzqrcy3vCMKlN/RZ8sE9lxUKkKfzEx5sCaXeCTIys7Yef2mvrXpMJsPneIvf2M1zY32hedn8luXzae5MXiWEP3Zw6d4dJeTlYrO4ayUy+/ftISL25u474dTYvSNuwcI+hU3Lmur8eqEUinlyHwtsFdrvV9rnQa+AbzmjPusATYUfn7kHLd7hq3ZbueiM1F5WS2dyxPwKXw+eynazniEVDbPqUo7DHPeZKYiQT/LO2MV2SPYLtF2Jcxd0NMeZKYaQwEaQ36zMp9HmcVVXTH2D4yW3Wloa0j1uYhVmDFLeSiKX9IWpSHoL7tzdbL06GFmChzd1OaDJ8/pPj44muZ/rd/JtUtaeN2V3Z6uwyUS9POmaxbys+19L9Ix3v/QbpolKzVJKODjI69Zx+HBcf7Pxn0APLqrn6sXtUiwOYMo5a+7GygetnSk8LtingN+u/Dz3UBMKXWWy5hS6t1KqU1KqU0DAwOVrPcsvNAmuXTFKz8xZzzUcVUc4GW11bJjMZd2J+ipQIRuu/PKhgv61HfKrlahNRriRIXBlFcZWICVyTjZvGZf/2hZj0t5qE8CR89VdmYq4122zO9TrO6KlT3weKIKAnSAqxfPYzSdO6fZ6d/9ZAcjE1n+5rXrqqrB+d3rFpHXmq89eQiA5w6f4pFdTgefBApT3LSsjd+8tIvPPrqPpw4MsrN3mJdIF9+MwtZR8H3AS5RSzwAvAY4CZ13maq3/TWt9tdb66vZ2O18UL0sNJidmL0oypl5TXoz+cFm3IMHJsUzZgmHbthZdiQbjYGpynIwljzAXxwW9sjKfF95XLqsr7OjzUjMFTkffvoGRsgTfXmeB1s5PsP3YUFldhtUo8wFcXTDvPNMi4akDg/zn00d45y1LWVEwRK0WC1sauX1VB1//9SFS2Rz3P7yH5sYg9964uKrrmAl88M41BH2Kd315E4DopWYYpRxxjgILi/69oPC7SbTWL2itf1trfQXwgcLvylcjV4CnmalEhJFUluGJ8stqTuec3TV1FoKpvop1XDlPM1NA2SUQ27YWXYkIwxV+Zi5Tmim7V/AmI2W8srUAZ5p9yO+ruKTmxd8eOF5TmZzmwPHSM2ZeCtDB0U2NpLIcOkcr+3S4dgVeCtDB8cLqSkReZN6ZyeX5wHe30t3cwJ/evszT15+Oe25YzPGRNH+/fhcbdvZLVmoakokIf/byFZway9ARC0/alggzg1L+up8CliulliilQsCbgR8U30Ep1aaUcp/rL4Av2l3m9HhZajDxmvLC+6rTMDOVyWkPT3yOCH1LmcGU081n74rdhj2CF9184I6UqTAz5WHgEvD7WNYRZUfZwZR3Ym9gMotSTkef12taO9+5aChHhP7tp4/QFg2zsKXRkzUVc9WieWw6cHKy3P6FXzzP7r4R7rtrbc3GtdyyrI0lbU184RfPk2iYu75SpfD2mxZz2cJmXntFt1gizDAueGTWWmeBPwYeAHYA39Jab1NKfUQpdVfhbrcBu5RSu4FO4GMerfcsvLw6dstqlbpD2w7wQgEfrU0hIyNRm+7nxUSCflYmYxVkpnKWBegNQOX+YOBd4NIWDTM4miJXphEleJ8FWtUVY1eZZT4vxd4AF7dH8SnYXUaQ567JqyzQimSUgE/RU6IT+tMHT/KLvcd5961LqjJf7ZrFLfQOTXD01DhHTo5x/0N7ePnqTl6xptPz154On0/xu4VxMe+6ZQmxSLBma6l3gn4f3/ujG/nL31hd66UIZVLSpYrW+ifAT8743V8V/fxt4Nt2l1YaXnbzmZyYvSjzgZOdqicdVzGXdCf4aU8vWuuSr6psB51dFjJTKY8yU61NIfIaTo6laSuMlykVL1zZi1mVjPGdzUcZHE3TUuK8Ni//9sAJ0Be3NZWVmXLF3l5lpsIBp3O11MzUpzY4s+feel11sjGuEefTB0/yoy3HALjvrjOdbKrPW6+7CIDfufaiGq+k/pGM1Mxkxjuge1n+6Ig7J7xKNEpeuLKDEyz0DlWuu7E1VPhcrOtOcHq8PBG6TQd0mCqFmmSmMl5lpmKVz+fzUjMFsCrpeCiVI0L3OlsGjhP67r7STTK9DvDA0U1tf+HCnavPFfyU3nnLkqq5fK9KxoiGA3zmkb08uL2P97x8OQvmeV9evBCRoJ933LyEhpD32TlBqAUzPpjyUiMRCfppaQpxrIKymldZIBMX9EwuT8ijMh84M/qAks07c3lNNq+tfnahgI+2aNhoPp8X7vXAZDaqEhG6lxcN4JT5gLJE6CmPs0Dg6KYOnBhlPF2aB5bXpUdwgqnjI2n6h8//OX5qw56CRmixZ2s5k4DfxxUXNbO7b4QVnVHecfOSqr22IMxlZnww5XV7dqXDhTNZ7Yk+KRmPMDiaLttgEbzLlrmsTMYI+lXJ5p1eBQimxp2eZaYKw44rCqY8tEYAZ3xSS1OInWXM6PO69AjOd0prSh7hUo0Ab10Jnas9R0/z0I5+3nHzkqp3rl23xLFI+JvXXuJZ964gCC9mxv+leZ3Wr/TEnMp5U1JzRfH9FZT6vNJxuYQD5YnQverENDXudIOEgEX3eijOTNVfmU8pVfZYmUkHdA+/U+V29HktQAdY3RVHqfN39H16w15i4UBN/JR+/+YlfP+/38S1haBKEATvmfHBlNflj0rLal6N/ug0cEH3ak3FXNKdYGuJTujeZqbMynyhgM+6EDTRECTgU3VZ5gNHN7W7b6TkbkPX/sPmyKQzWdzaSCjgK9kJ3c1Mefk9j4YDLG5tYts0HX27eodZv62X37tpMYmG6neuNYYCXLawueqvKwhzmRkfTHnpgA7OSJnB0fRkl1CpZHJ56+NIoMgFvRJRfE57Mui4mEu6mzk9nuHw4IWDGa+yil2JBoYmspNmieXiVdCplKp4pEw1xN6rkjHGM7mSDSm9sP84k4Dfx7L2aMlarqGJLGEPAuEzWTM/Pm1m6lMb9tAU8vP7olcShDnDjA+m0oVSkVcnmUqNO706IbvBVGXZslxVMlMAW45e2AB/SixsNxB27REqnqvooYVEpSNlqqFPmhKhl1bqS2Vzng/vhdJn9D25/wRfffIgN1x81lhQ66ydH+fIyXFOjb34s9zbP8yPtx7jbTcuprmxNIsJQRBmPjM+mPJeM+V4TZWbCXIMMu2vKd4QIBL0VSaK99AB3WVFMkrQr0rq6HM1U7YDPFMXdC/NTSsdKTOlmfJOWL28I4ZSsKNEEboXLv/nYkVnjGOnJzg9Pv2IoH0DI7z7K0+zsKWR+990hedrWldwQj9z6PFnHtlHJODnnZKVEoQ5xYwPprzWkiQTjmi4XI2SV9kNpZTTYVipXYPHJ79wwM+qZJytJXT0pT1qY5/KTFWmm/Iy6HTKfAYCdA+D4YaQnyWtTSWL0FPZvPWs4rlYmYwCsGea7NSJkRS//6WnCPgUX3r7tSQavdcprZ3v+HIVl/qePz7K9589yj03LKK1TFNWQRBmNjM+mEpl8/iU/c4rl2SFLuhe2hB0xssXxefymlxeV6VVel2JIvTJrKJXMwyNMlPeWRAMjKRKEui/eE3elrNdnLEypWWm0tmc55opOH9H30Qmx7u/8jS9pyf43L1Xc1FrdQwqW6NhkvHIi0Ton31kL0G/j3feIlkpQZhrzPhgyqvOK5doOEAsHCi/zOdhFiiZKD8zlfHYp6iYSxckGJ7IcvDE+YXMXhksRoJ+Wis0WwVvP7u2aJh0Ns9wmeJ4r32mXFZ2xjk4OMZY+sLrs+1ePx3dzQ00hfxnzejL5zXv+8/nePrgST7xxsu58qJ5nq+lmLVFIvTDg2N855mj/M51F9ERi1R1HYIg1J4ZH0ylMjlPDfrAsSMoJ5jSWns6By8Zj9A3VF52oxrdYC6uCP1CuikvdUDJRIRjpyor83nZpdZaMO4st9Tntc+Uy6ouxyTzQiNcTo6mOTQ4VpXMlFKKFcnYWZmpf3pwFz/acoz3v3oVd17a5fk6zmRtd4J9AyOMp3N89tG9+JXiD269uOrrEASh9sz4YMrr4b1Q8C0qI8uRzWu09u7E1xmPkM7mOTk2vSD3TCYzUx6Ok3FZ0Rkj5Pe9KJjSWjM4mmZn7xAbdw/wn5sO85OtziBWLzrCTFzQvSzzVTpSxg2mvBLGu6x2Z/Qdm1439cu9x7nj/p9zeHCsagN8V3Y65Uf3AuJbTx3mM4/s4y3XLuQPbl1alTWcydr5cfIaNuzs59tPH+FN1yycbH4QBGFuUd05Bx6QqoLXTTIeYXffQMn3dwMXrzydkkUC65am0tqvqyFgdgkFfKzqivGdzUf59fODDAyn6B+eIJM7O5M2PxGZ1DjZJJmIsOngyYoe67U1AsDxC8x1O5OUx+VslwXzGmgM+dl5Dt1UKpvjEz/bzb89tp8lbU184d5rJkereM2KzhjfeOowx0fS7O4b5i+/u5Vblrfxkdes83xPpsMVof/1D3oA+MPbJCslCHOVWRFMVSMzNTCcIpvLEyghY+F1SaazyGtq7fzSTmYZj4b3TscbrlrAfzxxiFgkwNL2JjpiETpiYTrjETriYTpiYTpiEc+myHclGjg1lmE8nSv7NdK5PE0ezVObnM83Wn6Zz7ZQ/1z4fIqV5xgrs7d/mPd841m2vTDEW6+7iA/eucazz+5crEw6IvQfb3mBf3pwNxe3R/nMW6+s6ey57uYGEg1Bjo+kecu1C+lubqjZWgRBqC0zPphy9C3ea6byGgZGUpO+UxdaE3hvJNp7uvTsRjUzUwD33LCYe25YXJXXOhddRWN3lrQ1lfVYLzsx3UxiuZkpr4dUF7MqGeOnPb2TJbX/ePIQH/vxdhpDAT7/tqt5+ZrOqqyjGLej774fbqc9FuaLv3cN8Uj1R7UUo5RiXXecJ/YP8ke3LavpWgRBqC0zPpiqVmYKHHuEkoKpnLeZqY5YGKXK875KVzkzVWsmS6GnxssPpjzs5gv4fcxrDHJitJ6DqThf//Vhth8b4hM/283DO/u5dUU7//iGS2vWqdYWDdHSFGI8neOL915TN1mg99y+gtdfNcbClupYMgiCUJ/M+GCqGl43yXh5LuheZ4GCfh+tTWH6yhBYVzszVWu6KvQHA281U1BwQR8us8xXhUYLl1WFktrdn/0VAH/9W2u494bFng40vhBKKf727nW0NIW5ZEF1dFqlcO2SFqCl1ssQBKHGzPhgKpXNE/VI3+JS7qy3angCJRPhsjJTrvi7GuM/6oHJgdAVzTD0bpwMVDZSxqtZj+diVVecSNDH4tYmPvnmy1lV6PCrNXesq779gSAIQinM+GAqnc0TbvL2JNPcGCQU8JXsOp7JOoGLlyW1ZDzCkZOl+yjNtcxUQ8jPvMZgRSNlvJ5h2BoNvWgMSSlUs8yXaAiy4b230RoNea5HFARBmA3M+DNrNTRTSqmyfIvSOe9Hf3SWOZ+v2t189UAy0VDRSBkvfabALfOVmZmqYpkPYH5zgwRSgiAIJTLjz6zVKn8k4xF6S8xypKpgsJiMRzg1lmEikytrTXOlzAdOefaFUxUOhPYwcGmPhRlOZUv+7KBw0TCHPjtBEISZxIw/Oqey3o+TgfLm4bn6JC+F8Z2JKa+pUpjScdVORFxtKplhqLX2PEBvLdgjnCjDa6qaZT5BEAShPGb80blaJ5lkIkLf6RT5/IXn4Xk5c25yPa7AusQyVqYKa6o3uuIRBkfTZWWAsnnvhfqVuKB7OS9QEARBMGPGH52rMU4GnBNzOpdncOzC2YSpcTIelvkS5XWrVaPDsN7oKngRlZq9g+oI9dti5c/nq7ZmShAEQSidGd/Nd/+br2DBPO8N/JKJKa8pN7MwHV6Pk4EXj5QphSkB+twp8xVbWixqLc24c2qgcBXKfCNllvlEMyUIglCXzPij8yvWdLK6y3sfnKkRLhcOXqqR3YhHAjQE/SWPlJlr1ghQ3mfmkqlCBq+9kJkaKCczJZopQRCEukWOziUymeUoIRPk9TgZmLJrKFeAPqesEQrZuxfK8JqqRtdjJOgnGg6Ul5mSMp8gCELdIkfnEmmLhvH7VEn2CNXKApXjNVWN0mO90RQOEI8EyspMjaUdsXo46O0+tUZDJWumtNZMZHJzqnlAL1OXFAAAEhhJREFUEARhJjF3zqyG+H2Kjli4JOPOaom9k4lI6d18uTwBn6rpfLVaML+5oaz5fE8+fwKAS7q9nf9WzkiZnqNDjKVzrOqKebomQRAEoTIkmCqDZIlltUwVRMzgZKb6hydKsmvoG0oRCc69zEY5ASfAwzv6WdLWxNL2qIerckTopZb51m87ht+neMXqTk/XJAiCIFSGBFNlUOpImXQuj1IQ8DgLlIyHyeT0Be0advcN891njnLX5fM9XU89Us4YoNFUlsf3neBlqzo8XpVjj1BqZmp9Ty/XL21hXqELUBAEQagvJJgqg2TcmfWm9fkzQW4bu1IeB1MldKtprfnr728jFgnwP1+50tP11CPJeAPHR1Kkshc27vzl3uOkc3lur0YwFQ0zOJYmWygJT8fe/mH2DYzyqrVJz9ckCIIgVIYEU2WQTIQZS+cYmsie937pXHU8gTpLcEH/0ZZjPL7/BO975co5mdnoanb2qH/owlmgDTv7iYUDXL24xetl0RYNoTWcHMuc937re3oBeOUaCaYEQRDqFQmmysA17ryQbqqaI25gehf00VSWj/14B+u647zl2os8X089UmzceT7yec2Gnf3cuqK9Kp/d5EiZC5T6HtjWxxUXNU9+1oIgCEL9IcFUGZR6Yk5n81Xxc2qPhvGp6YO7Tz+yl96hCT581zr8c6yLz2XqMzu/pUXPC6fpH05VRS8FpQVTR06OsfXoae6QEp8gCEJdI8FUGbgmkL/YM3De4bmZKhksBvw+2qLhc5b59g+M8PnH9vP6qxZw1aJ5nq+lXikeA3Q+Ht7Rj1Jw28r2aiyL1uiFR8o8sK0PQPRSgiAIdY4EU2XQlYhwxUXNfO6x57n+7x7moz/azt7+kbPuV0236mTibONOrTX3/XA7kaCfP79jVVXWUa9EwwFi4cAFs4kbdvZzxcJmWi8wd9EWpWSmHujpZVUyxuK20uYKCoIgCLVBgqkyCPh9/Ncf3shX33kdNy1r48uPH+Dln9jIG//1cb73zNHJbFU6q6s2tqUzfrb31c+29/Hz3QP8f69YMTkHbi7T1Rw5b5mvb2iCrUdPc3sVfZzikQAhv4/j02SmBoZTPHVwULJSgiAIM4BArRcw0/D5FDcta+OmZW0cH0nx7aeP8PVfH+LPvvks834Y5HVXLqB3aLx6mal4hCf3n5j890Qmx0d+uJ2VnTHuuX5RVdZQ7yQTDect8z2ysx+ganopcGYrnm+kzIPb+9Aa7lgnwZQgCEK9I8GUAW3RMH/4kot59y1LeXz/Cb725CG+9KsDZPOaa6vQXg9OmW9oIst4OkdDyM+/PLqPo6fG+ca7rycwh+bwnY+ueISdx4amvf3hnf3MT0RYlazuuJbzjZRZv62XRa2NVV+TIAiCUD4STFmgOFs1MJzie88cZWWVToKTXlNDE/iV4l827uOuy+Zz/dLWqrz+TCCZiDAwkiKTO7vLciKT4xd7jvO6q7o9N1k9k7Zo6JxlvtPjGX619zjvuHlJ1dckCIIglI8EU5Zpj4V5161Lq/Z6ySLjzi/84nmCPsUH7lxdtdefCXQlImjtaKMWzGt80W1P7D/BeCbH7auqP/euNRpmZ+/wWb9/ZGc/2bzmVVLiEwRBmBFIHWiGk0w4AvNvPnWIh3b08ae3L5/MVgkOXc3T2yNs2NlPJOjjhourn8lri4Y5MZI+azzR+p5eOuNhLl/QXPU1CYIgCOUjwdQMxw2cvvfsCyxtb+L3blpS4xXVH9OZrWqteXhHPzcvayMS9Fd9XW3REOlc/kXjicbTOR7d3c8r1yTxzVGjVUEQhJmGBFMznFgkSFPICQTu+621VesinElMNxB6d98IR0+N87IalPjg3F5TG3cPMJHJSxefIAjCDEI0U7OAtd0JuhIRbl1RHffumUYsHKAp5D8rM/XwTsdhvJqWCMVMBlPDKS5ujwLwwLZemhuDXLukOt2ggiAIgjkSTM0Cvv6u65GC0PQopehqbjjLuHPDjn7WdcdrNkR4cqTMqNPRl87meWhHH69am6ya6asgCIJgjhyxZwF+nxJ9zQXoSkRelJkaHE2z+dDJmpX44Owy3+P7TzA8kZXBxoIgCDMMCaaEOUEyHnmRZmrj7n7yGm6vUYkPoKUphFJMek09sK2XxpCfm5e31WxNgiAIQvlIMCXMCboSEfqHJ8jm8gA8vKOftmiYS7oTNVuT36doaXRGyuTymp9t6+Olqzpq0lkoCIIgVI4EU8KcIJloIK+ZdELfuHuAl61qr3l5tC0a5vhwis2HTnJ8JCWDjQVBEGYgIkAX5gRdzY7I/IVTExw4PsbwRLameimXtliIE6Np1vf0EvL7eOlK6cgUBEGYaUhmSpgTdBV5TW3Y2UfI76sLbVJrU5iB4RTre3q5eXkbsUiw1ksSBEEQykSCKWFO0BV3RsocOz3Owzv7uW5pC9Fw7ROzbdEwhwbHOHpqXLr4BEEQZigSTAlzgnhDgIagnyf2n2D/wGhNu/iKaYs5XlM+BS9fU/uyoyAIglA+EkwJcwKlFF2JCBt29gPUhV4KoK3J8Zq6bkkrLU2hGq9GEARBqAQJpoQ5Q1dzhLyG5R1RLmptrPVygKnM1KvW1kdwJwiCIJSPBFPCnCFZ0E29bHV9lPgArl3SyttvXMzdVy6o9VIEQRCECqm9AlcQqoTb0Xd7nZT4AKLhAPfdtbbWyxAEQRAMKCkzpZS6Qym1Sym1Vyn1/nPcfpFS6hGl1DNKqS1Kqd+wv1RBMOOVazt5/VULuPKi5lovRRAEQZhFXDCYUkr5gc8ArwbWAG9RSq05424fBL6ltb4CeDPwWdsLFQRTLl3QzD++4TICfqluC4IgCPYo5axyLbBXa71fa50GvgG85oz7aCBe+DkBvGBviYIgCIIgCPVLKZqpbuBw0b+PANedcZ/7gJ8ppf4EaAJebmV1giAIgiAIdY6tesdbgC9prRcAvwF8RSl11nMrpd6tlNqklNo0MDBg6aUFQRAEQRBqRynB1FFgYdG/FxR+V8w7gG8BaK0fByLAWYPPtNb/prW+Wmt9dXu7DHQVBEEQBGHmU0ow9RSwXCm1RCkVwhGY/+CM+xwCbgdQSq3GCaYk9SQIgiAIwqzngsGU1joL/DHwALADp2tvm1LqI0qpuwp3ey/wLqXUc8DXgbdrrbVXixYEQRAEQagXSjLt1Fr/BPjJGb/7q6KftwM32V2aIAiCIAhC/SOGO4IgCIIgCAZIMCUIgiAIgmCABFOCIAiCIAgGSDAlCIIgCIJggARTgiAIgiAIBkgwJQiCIAiCYIAEU4IgCIIgCAZIMCUIgiAIgmCABFOCIAiCIAgGSDAlCIIgCIJggARTgiAIgiAIBqhazSNWSg0Du2ry4tOTAE7XehHnoA04XutFnEE97pXsU2nU4z6B7FWpyD6VRj3uE8helUo97tNyrXXiXDeUNOjYI3Zpra+u4eufhVLq37TW7671Os5EKbVJ9urCyD6VRj3uE8helYrsU2nU4z6B7FWp1Os+TXeblPlezA9rvYAZhOxVacg+lY7sVWnIPpWG7FPpyF6VxrT7JMFUEVpr+UKViOxVacg+lY7sVWnIPpWG7FPpyF6Vxvn2qZbB1LTpMuEsZK9KQ/apNGSfSkf2qjRkn0pH9qo0ZtQ+1UyALgiCIAiCMBuQMp8gCIIgCIIB1oIppdRCpdQjSqntSqltSqn3FH7fopR6UCm1p/D/eYXfK6XUPyul9iqltiilrix6rpxS6tnCfz+wtcZ6wdZeKaVeWrRPzyqlJpRSr63le7OJ5e/Ux5VSPYX/3lSr9+QFFezTKqXU40qplFLqfWc81xeVUv1KqZ5avBevsbVXSqmIUurXSqnnCs/z4Vq9Jy+w/J06oJTaWjhGbarF+/ESi9+plWccz4eUUn9Wq/dlG8vfqfcUjuXb6maPtNZW/gO6gCsLP8eA3cAa4O+B9xd+/37g44WffwP4KaCA64Eni55rxNa66vE/m3tV9JwtwCDQWOv3V2/7BNwJPIhjBdIEPAXEa/3+arhPHcA1wMeA953xXLcCVwI9tX5f9bxXhe9YtPBzEHgSuL7W76/e9qlw2wGgrdbvaSbsVdFz+oFeYFGt31+97ROwDugBGgvH9IeAZbV+f9YyU1rrY1rrzYWfh4EdQDfwGuDfC3f7d8DNnLwG+LJ2eAJoVkp12VpPPePRXr0e+KnWeszzN1AlLO7TGuDnWuus1noU2ALcUcW34inl7pPWul9r/RSQOcdz/RwnKJ+V2NqrwndspPDPYOG/WSNAtfmdmu14tFe3A/u01gc9W3iVsbhPq3EulMe01llgI/DbVXgL58UTzZRSajFwBc7VWqfW+ljhpl6gs/BzN3C46GFHCr8DiCilNimlnphNZatzYWGvXN4MfN2zhdYYw316DrhDKdWolGoDXgosrMKyq06J+yRgvldKKb9S6lmgH3hQa/2kR0utKRa+Uxr4mVLqaaVUXRlD2sbi358cz6enB7hFKdWqlGrEqUjU/Hhu3QFdKRUF/gv4M631kFJq8jattVZKlXL1tkhrfVQptRTYoJTaqrXeZ3uttcbSXlHIvlwCPODJQmuM6T5prX+mlLoG+BUwADwO5Dxcck2w9X2aC9jYK611DrhcKdUMfFcptU5rPau0Zpa+UzcXjucdwINKqZ2FDOiswuLxPATcBfyFJwutMRaO5zuUUh8HfgaMAs9SB8dzq5kppVQQZ5O+qrX+TuHXfW5JqvD//sLvj/LiaHJB4Xdord3/7wcexYlgZxW29qrAG4Hvaq1nXYrd4nfqY1rry7XWr8DRu+yuxvqrRZn7NKexvVda61PAI8yi0jHY26ei43k/8F3gWm9WXDssf6deDWzWWvfZX2ltsfid+oLW+iqt9a3ASergeG6zm08BXwB2aK0/UXTTD4B7Cz/fC3y/6PdvUw7XA6e11seUUvOUUuHCc7YBNwHbba2zHrC1V0WPewuzMCVs8TvlV0q1Fp7zUuBSnKuaWUEF+zRnsbVXSqn2QkYKpVQD8Apgp/0V1waL+9SklIq5PwOvxCnTzBo8+PuT4/mFn6uj8P+LcPRSX7O72grQ9pT6N+PUxrfgpN2exalltgIPA3twVPcthfsr4DPAPmArcHXh9zcW/v1c4f/vsLXGevnP1l4VbluMk33x1fp91es+ARGcgHw78ARwea3fW433KYmjJxsCThV+jhdu+zpwDEf0eWS2/f3Z2iucgPyZwvP0AH9V6/dWp/u0tHAsfw7YBnyg1u+tXveqcFsTcAJI1Pp91fk+PVY4nj8H3F7r96a1Fgd0QRAEQRAEE8QBXRAEQRAEwQAJpgRBEARBEAyQYEoQBEEQBMEACaYEQRAEQRAMkGBKEARBEATBAAmmBEGoC5RSC5RS31fO9Pj9SqlPu55zFp777Uqp+TaeSxAE4UwkmBIEoeYUDP2+A3xPa70cWA404EyUN31uP/B2oKxgSillfdyWIAizEwmmBEGoB14GTGit/y9Mzr37HziO9n+slPq0e0el1I+UUrcVfv4X5QxF36aU+nDRfQ4opT6ulNqM4yh9NfBVpdSzSqkGpdRVSqmNyhm++0DROItHlVKfVEptAt5TrTcvCMLMRq68BEGoB9YCTxf/QjtDUA9w/uPUB7TWg4Xs08NKqUu11lsKt53QWl8JoJR6J/A+rfWmwnywTwGv0VoPKKXeBHwM+P3C40Ja66vtvTVBEGY7EkwJgjCTeaNS6t04x7IuYA3OuAqAb07zmJXAOuDBwsR6P84IHZfpHicIgnBOJJgSBKEe2A68vvgXSqk4znyuE8CKopsihduXAO8DrtFan1RKfcm9rcDoNK+lgG1a6xumuX26xwmCIJwT0UwJglAPPAw0KqXeBpOi8X8CPg08D1yulPIppRYC1xYeE8cJfE4rpTqBV5/n+YeBWOHnXUC7UuqGwmsFlVJrbb8hQRDmDhJMCYJQc7Qzcf1u4PVKqT042ai81vpjwC9xAqrtwD8DmwuPeQ54BtgJfK1wv+n4EvB/lFLP4pT1Xg98XCn1HM70+hs9eFuCIMwRlHMMEwRBqB+UUjcCXwfu1lpvrvV6BEEQzocEU4IgCIIgCAZImU8QBEEQBMEACaYEQRAEQRAMkGBKEARBEATBAAmmBEEQBEEQDJBgShAEQRAEwQAJpgRBEARBEAyQYEoQBEEQBMGA/weJ0OJRjFLDZgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ixhzvyTc7B3T",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mK0yJ4ie7Bx1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W6HJ3x6c7BsM",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MEuGJP_47BkO",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JSQiNN3O7BcW",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3YTClJan7BXp",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2cqf9DCw7BQ1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "spplBHEd7BNa",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wweOKjZY7BH5",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wN-uoLef7BBQ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2dQyQT3u7A7C",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UQbqW-pR7A12",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iduBvINjGJkS",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kspwn48pP26T",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BfabroCTP2s0",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9p5vOOxgVAh8",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "r1eWVZXwVAeO",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QzKEnIUPVAbb",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zyy8lFIUVAX4",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QWy3v14rVAUh",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ajWqia3yGkv8",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018 = bill_df['2016':'2018'][['Billed_amount']]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PEn1c460HOdL",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HpS41rSyzH1m",
        "colab_type": "text"
      },
      "source": [
        "Simple moving average = (t + (t-1) + (t-2) + ... + (t-n)) / n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UBvYPmh1E885",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['Billed_amount'].rolling(window=3).mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dz-eNupME86J",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['ma_rolling_3']=bill_2018['Billed_amount'].rolling(window=3).mean().shift(1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T-SphqTYE82u",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "paiqHYifM7bO",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018.plot();"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bxzVBI463G-O",
        "colab_type": "text"
      },
      "source": [
        "Weighted moving average = (t * weighting factor) + ((t-1) * weighting factor-1) + ((t-n) * weighting factor-n)/n "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3h7wFgM5E8qE",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def wma(weights): \n",
        "  def calc(x):\n",
        "    return (weights*x).mean()\n",
        "  return calc"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7Q1-fNJYE8gz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['Billed_amount'].rolling(window=3).apply(wma(np.array([0.5,1,1.5])))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "U5ha0--uJ51C",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['wma_rolling_3']=bill_2018['Billed_amount'].rolling(window=3).apply(wma(np.array([0.5,1,1.5]))).shift(1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Nr17yUpGaGOr",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DBlVXvBQaGLU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018.plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OjHcOxANyWiM",
        "colab_type": "text"
      },
      "source": [
        "Exponential moving average = (Close - previous EMA) * (2/(span+1)) + previous EMA\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "q99o4C3Cgmwu",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['Billed_amount'].ewm(span=3, adjust=False, min_periods=0).mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hCDd1DWeguGC",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['ewm_window_3']=bill_2018['Billed_amount'].ewm(span=3, adjust=False, min_periods=0).mean().shift(1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kG6ZlZ4UguC7",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9VAuv52jgt9K",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018.plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dKpz4jS5ESTR",
        "colab_type": "text"
      },
      "source": [
        "Exponential Smoothing - "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p66z2la9Xmqv",
        "colab_type": "text"
      },
      "source": [
        "![alt text](https://people.duke.edu/~rnau/411avg_files/image028.png)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NvObBoi3_eNz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['Billed_amount'].ewm(alpha=0.7, adjust=False, min_periods=3).mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QOXhMIhH_eLm",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['esm_window_3_7']=bill_2018['Billed_amount'].ewm(alpha=0.7, adjust=False,min_periods=3).mean().shift(1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LD8mhtOx_eHx",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "e5mQAAKx_eFY",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018[['Billed_amount','esm_window_3_7']].plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "b8rRNAbrfcWu",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018.plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uCttA7EM_eCg",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['Billed_amount'].ewm(alpha=0.3, adjust=False, min_periods=3).mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rNmsEDBw_d_s",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018['esm_window_3_3']=bill_2018['Billed_amount'].ewm(alpha=0.3, adjust=False,min_periods=3).mean().shift(1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vyFxXg_U_d8q",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "i5K4-vwa_d5s",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018[['Billed_amount','esm_window_3_3']].plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-71-HtqP_d3I",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "bill_2018[['Billed_amount','esm_window_3_7', 'esm_window_3_3']].plot()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uhcPr9xknBNt",
        "colab_type": "text"
      },
      "source": [
        "![alt text](data:image/png;base64,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)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HYvGM7b-_dxS",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "((bill_2018['Billed_amount']-bill_2018['ma_rolling_3'])**2).mean()**0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1arUawX-_dt3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "((bill_2018['Billed_amount']-bill_2018['wma_rolling_3'])**2).mean()**0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MUWkFpAl_dqN",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "((bill_2018['Billed_amount']-bill_2018['ewm_window_3'])**2).mean()**0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sKzKitcI_dnB",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "((bill_2018['Billed_amount']-bill_2018['esm_window_3_7'])**2).mean()**0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V44L0DG3_dhD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "((bill_2018['Billed_amount']-bill_2018['esm_window_3_3'])**2).mean()**0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hxnUdIbEJ5pd",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pZzw8yNCn5z_",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SX_p7Hlmn5xS",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A5Rv8Eq5n5vi",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GXj6EP8Cn5te",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1gXNI_7_n5o5",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hTEY6KBan5nf",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "okfQ8A9Un5ja",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4DiDtpP3n5g-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pl58zDrHn5dP",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Efyh6nbVqZyK",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "39JW1HZcqZwl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RCmLUUvLqZpx",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vpbb5CVgqZle",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TUztrPS-n5aA",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "heaGQsy2n5WM",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YVcwf7H6J5K4",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H9VdEjmw5CwA",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "ml_dict['FB_Prophet']['forecast']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kkHpfx405Cr2",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}