permafrost_mapping_using_python_original.ipynb

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      "name": "permafrost_mapping_using_python_original.ipynb",
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
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      "name": "python"
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      ]
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      ],
      "metadata": {
        "id": "IPyjSXLBQ4kt"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**<div align=\"center\"><font size=\"4\">REGIONAL TRAINING</font>**"
      ],
      "metadata": {
        "id": "eIYQ8JgDchZl"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "<div align=\"center\"><font size=\"4\">Analysing permafrost in the Hindu Kush Himalaya using open access tools</font>"
      ],
      "metadata": {
        "id": "18RSsja9cmO-"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**<h1 align='center'>Permafrost probability mapping using logistic regression**"
      ],
      "metadata": {
        "id": "Gb17OMTScrgR"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "*This notebook is prepared for the participants of the regional training on **Analysing permafrost in the Hindu Kush Himalaya using open access tools** organized by ICIMOD through its Cryosphere Initiative under the Regional Programme on River Basins and Cryosphere in collaboration with Kathmandu university and Tribhuvan University.*\n",
        "\n",
        "*The Cryosphere Initiative is supported by the Government of Norway and Swiss Agency for Development and Cooperation.*\n",
        "\n",
        "Coded by: Prashant Baral & Amrit Thapa \\\n",
        "Email: pbaral@icimod.org & amrit.thapa@icimod.org\n",
        "GitHub: https://github.com/amrit-thapa-2044/ICIMOD_permafrost_training_2022\n",
        "\n",
        "---"
      ],
      "metadata": {
        "id": "XMpHoANpQ18U"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "***This exercise is conducted using the python coding language.***"
      ],
      "metadata": {
        "id": "gycz91nXRVZW"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# What is permafrost mapping?"
      ],
      "metadata": {
        "id": "tBVXom6-fsc0"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Maps of permafrost extent and probability can be produced using a combination of mapped rock glaciers points, machine learning algorithms and other predictor variables. Mapped rock glacier points are classified as intact and relict indicating conditions for permafrost presence and absence respectively. Values of predictor variables extracted at mapped rock glacier points are used to train the machine learning algorithm. Mean annual air temperature (MAAT) and potential incoming solar radiation (PISR) are two commonly used predictor variables."
      ],
      "metadata": {
        "id": "77Ao22z7fOy4"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Load required libraries\n"
      ],
      "metadata": {
        "id": "674m5PQMiNOZ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Initially, necessary libraries are imported. These libraries are used to read input files, analyze and visualize data and results. Images are read as *numpy* arrays. Training data, provided as a csv file, is read using *Pandas* library. *Matplotlib* library is used to make plots. *Contextily* is used to retrieve tile maps from the internet. *Scikit-learn* is the library for machine learning operations. *Gdal* library is used for working with geospatial data sets. *Rasterio* is a module used for operating raster data set. *Python Imaging Library (PIL)* is used to work with  different image formats. "
      ],
      "metadata": {
        "id": "sSm_GYV9OP2f"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Importing the major libraries for  reading input files, analyzing and visualizing data and results\n",
        "\n",
        "from google.colab import drive\n",
        "from platform import python_version\n",
        "\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        " \n",
        "!pip install contextily\n",
        "import contextily as ctx\n",
        "\n",
        "# Importing several functions from the scikit-learn library\n",
        "\n",
        "from sklearn.model_selection import train_test_split\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.linear_model import LogisticRegression\n",
        "from sklearn.metrics import confusion_matrix\n",
        "\n",
        "# Importing libraries and functions for raster data processing\n",
        "\n",
        "from osgeo import gdal\n",
        "\n",
        "!pip install rasterio\n",
        "import rasterio\n",
        "from rasterio.plot import show\n",
        "\n",
        "from PIL import Image"
      ],
      "metadata": {
        "id": "W2tImo1_yVxy",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "bfb84d14-7a52-4734-b996-7dfda1890eac"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Collecting contextily\n",
            "  Downloading contextily-1.2.0-py3-none-any.whl (16 kB)\n",
            "Requirement already satisfied: requests in /usr/local/lib/python3.7/dist-packages (from contextily) (2.23.0)\n",
            "Collecting rasterio\n",
            "  Downloading rasterio-1.2.10-cp37-cp37m-manylinux1_x86_64.whl (19.3 MB)\n",
            "\u001b[K     |████████████████████████████████| 19.3 MB 65.1 MB/s \n",
            "\u001b[?25hCollecting xyzservices\n",
            "  Downloading xyzservices-2022.4.0-py3-none-any.whl (36 kB)\n",
            "Requirement already satisfied: geopy in /usr/local/lib/python3.7/dist-packages (from contextily) (1.17.0)\n",
            "Requirement already satisfied: pillow in /usr/local/lib/python3.7/dist-packages (from contextily) (7.1.2)\n",
            "Collecting mercantile\n",
            "  Downloading mercantile-1.2.1-py3-none-any.whl (14 kB)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (from contextily) (3.2.2)\n",
            "Requirement already satisfied: joblib in /usr/local/lib/python3.7/dist-packages (from contextily) (1.1.0)\n",
            "Requirement already satisfied: geographiclib<2,>=1.49 in /usr/local/lib/python3.7/dist-packages (from geopy->contextily) (1.52)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->contextily) (0.11.0)\n",
            "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->contextily) (2.8.2)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->contextily) (3.0.9)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->contextily) (1.4.2)\n",
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            "Installing collected packages: snuggs, cligj, click-plugins, affine, xyzservices, rasterio, mercantile, contextily\n",
            "Successfully installed affine-2.3.1 click-plugins-1.1.1 cligj-0.7.2 contextily-1.2.0 mercantile-1.2.1 rasterio-1.2.10 snuggs-1.4.7 xyzservices-2022.4.0\n",
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
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          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "We start this exercise by checking the version of Python available in Google Colab. Let's do this.\n"
      ],
      "metadata": {
        "id": "5MtWKUY02Kgj"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "iy6nE6iysd2C",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8145bbc1-37da-48ac-d547-1fe8c6f88e81"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "3.7.13\n"
          ]
        }
      ],
      "source": [
        "# Printing the Python version available in Google Colab\n",
        "print(python_version())"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Mount Google Drive\n"
      ],
      "metadata": {
        "id": "sylef7m5f8Fg"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "A pre-prepared training data set (.csv file) is used in this training. A folder named **ICIMOD_permafrost_training_2022** has already been shared with your Gmail ID.\n",
        "Now, mount the Google Drive with Google Colab to import the required data. This will ask for gmail permission. You have to accept it before proceeding with the following steps."
      ],
      "metadata": {
        "id": "om3wLat4NjKt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Mounting the Google Drive\n",
        "drive.mount('/content/drive')"
      ],
      "metadata": {
        "id": "0oIYcJouGvID",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c28865af-1609-4b58-9aeb-d890f2242a30"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Load training data"
      ],
      "metadata": {
        "id": "3h2Vu-LhgNjI"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "The next step is to read/load the prepared .csv file that consists of a dataset to train the logistic regression model. You have received a folder called ***ICIMOD_permafrost_training_2022***. Click on *Open* in your email, which will take you to the Google Drive. There click on the small arrow to the right of the folder name on top. A drop down will appear where you need to select 'Add Shortcut to Drive'. This will save the folder directly to your root folder. Only once that is done will the code below run.\n",
        "\n",
        "Let's import the file and explore it. Can you identify the variables in the columns and remember them from the data preparation phase? What are the units we are looking at here? Also make sure that you understand why those specific locations have been chosen. What can we find at these locations? "
      ],
      "metadata": {
        "id": "MO-TUaR7Hyc8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Importing the dataset to train the model\n",
        "dataset = pd.read_csv('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/input_permafrost/df_permafrost_uttarakhand_field_data_utm44n.csv')\n",
        "\n",
        "# Get names of columns for visualization \n",
        "print(dataset.columns)\n",
        "\n",
        "# Explore the first few rows of data \n",
        "dataset.head()"
      ],
      "metadata": {
        "id": "NUilDycAuJVc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 224
        },
        "outputId": "850ce889-3634-453b-ce1c-b1dc97bab42b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Index(['RGID', 'longitude', 'latitude', 'maat', 'pisr'], dtype='object')\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "   RGID    longitude     latitude      maat         pisr\n",
              "0     1  445667.3452  3369434.664 -1.552178  1256.813477\n",
              "1     1  401665.0128  3368026.277 -0.553961  1248.921509\n",
              "2     1  433857.1046  3368747.286 -3.617237  1367.666138\n",
              "3     1  307870.6123  3400898.924 -1.237953  1402.723022\n",
              "4     1  264633.8469  3441171.615 -0.593433  1357.135986"
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            ]
          },
          "metadata": {},
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        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here, ***RGID*** indicates whether the mapped rock glacier is ***intact (1)*** or ***relict (0)***. ***longitude*** represents ***Easting or X coordinate*** and ***latitude*** represents ***Northing or Y coordinate*** of the mapped rock glacier points. ***maat*** is the value of ***mean annual air temperature (MAAT)*** and ***pisr*** is the value of ***potential incoming solar radiation (PISR)*** recorded at the mapped rock glacier points. "
      ],
      "metadata": {
        "id": "_XI_zN1f8bAb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import warnings\n",
        "warnings.filterwarnings('ignore')\n",
        "\n",
        "# library for ggplot like figures\n",
        "from plotnine import *"
      ],
      "metadata": {
        "id": "zXyDI7o6KCwL"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's look at the distribution of MAAT values recorded at points indicating intact (1) and relict (0) rock glaciers. We see that intact rock glaciers are located at areas with lower MAAT while relict ones are located at areas with higher MAAT."
      ],
      "metadata": {
        "id": "Ws4il5u_bhsy"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot_lon_lat_MAAT=( ggplot(dataset)  # What data to use\n",
        "    + geom_point(aes(x=\"longitude\", y=\"latitude\",fill='maat',color=\"factor(RGID)\"),size=5)\n",
        "    +ylab(\"Latitude-UTM44N\")+xlab('Longitude-UTM44N')\n",
        "    +labs(fill='MAAT (°C)')\n",
        "    +labs(color='RGID')\n",
        "    +theme_bw()\n",
        "    +theme(figure_size=(6, 4)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_lon_lat_MAAT)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 405
        },
        "id": "Yrp3x-K7aiPY",
        "outputId": "3ea6bd4b-eae7-46c5-f981-d47d2663dcd8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743743613461)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's now look at the distribution of PISR values recorded at points indicating intact and relict rock glaciers."
      ],
      "metadata": {
        "id": "PV44eJ0Dbnjm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot_lon_lat_PISR=( ggplot(dataset)  # What data to use\n",
        "    + geom_point(aes(x=\"longitude\", y=\"latitude\",fill='pisr',color=\"factor(RGID)\"),size=5)\n",
        "    +ylab(\"Latitude-UTM44N\")+xlab('Longitude-UTM44N')\n",
        "    +labs(fill='PISR (kWh/$m^2$)')\n",
        "    +labs(color='RGID')\n",
        "    +theme_bw()\n",
        "    +theme(figure_size=(6, 4)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_lon_lat_PISR)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "V2YFsxOyGjvK",
        "outputId": "d0fed9f9-11c7-4edd-8f2e-7cc1bbfa28f3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ],
            "image/png": 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r68nMzOxwmXyAGWn79etHampqm3SGjhQVFbFs2TIuvbTr729N07j++uvxeDysWbMGaOqlbh1Q7969mz179nDrrbcSDof5/vvvW5YVFBQwYcIEzOa238tLlixh7NixOBwOJk2axLffftvu2Bs3bqS4uLhNQJ2amspjjz3GfffdR1ZWFi6Xi9tuuw2Azz77jMmTJ2O325kyZQq7du1qt89f/vKXyLLMU0891W7ZnDlzePXVV1GUo1/eV1T56IOmJDqZbDawbetG7h8Uf+mwZclJ3FhcwsmBOhYneBgV9nGet5JpgaaKITe/9Qox2cDmYaPYPGEqev981tbVsqVwVdzH8DbUABIGZQNF4XyKQhEG2HrHCNzjjSktndyH/oRv+dc0LH6f2FeV+xYaZRJOmop77rlYB+YflfbURGNsD0UIaxp2WWKQ2USSsekryG4w8MDA/rxV6eSL+ltYE7uBDEMhsh4iRDoV6hByLTK3Z6UzQeROC4LQw7xeL7W1tWRlZXW4fPz48Tz//PMMGDCA888/n4yMjLj37ff7qaurY8CArq/vn3/+OUajkUmTJnW6jqIoXHXVVSxZsoQlS5a05D5PmzaN9957j/r6epKSkigoKCAnJ4chQ4YwevRoCgoKGDt2LLFYjNWrV/OrX/2qzX4rKiq45ZZbuOuuu0hMTOR3v/sdF198MTt27MDUaizO+++/z7hx41p+XJSVlVFTU8Pzzz/PRRddxCuvvMKiRYt46qmniMVirFq1ijvvvBNN07jhhht44IEHWLBgQcv+fvvb31JSUsK7777b4Q+TqVOnUlNTw7p16w66R/1giYC6j4rV1WJQVTY64w8uYrLMNoed7GiI31ZtZ3qgjlWmJB5xDmO3wYYEDFACnL+zhEt/mEf9xKmsHTul223TNRWJIBZtN4vrnPysX3y5scLhJ1usJM44E9dpZxCrqkTz+ZBMRoyeNAwOx1Fpw0Z/kA9ravjOHyFBDmGVIgQ0GzHdzOREB+d5PAywWbDIMj/OTOWy9BRWNPopDmcQ03QcBgMTXQ7ybRaR5iEIQo9p7vXcs2cPd9xxB6qqdto7/Nxzz3HxxRe3DJIbMGAAs2fP5rbbbqN///6d7rusrIzf/va3OJ1Obr311i7bs3r1aoYMGdJp2bhIJMJll13GunXrWLp0KYMHD25ZNn36dHRdZ8WKFcyaNYvly5czdepUoCkoXb58OTfffDPfffcd4XC4Xf50XV0dX331FSNHjgTA4XAwY8YMVq1a1WbdRYsWtemdXr9+PdA0gPDee+8F4LTTTuOZZ57hs88+Y+3atdjtdgA+/vhjNm7c2LLtxo0befLJJxk2bBgTJ04E4KyzzuLJJ59sWWfkyJEYDAZWrVolAmohTkpT2obazQBDAaYE6rFoGre7TmC30d5meZ3ZzLfmJAaZ/dy/9lvm+HysTrA0zaYRB4PRhGwwISshNHUnJeGB3WqfcGRIkoQ5PQPS4+8lORzerarjraoapliW8UDifxls3IQkgabLrI+N47PQxdy7YzQ3Zmcy3d2UumSWZU5NcnHqUW2pIAhC5wKBQJue16SkJJ555hnOPrvjCkWjRo1i48aNLF68mE8//ZSvvvqKp59+mpdffpmlS5cyZsyYTvdtMBh47733GDp0aJdtKi8vJzW140nZQqEQ559/Prt27WLZsmXk5ua2WT5+/HhsNhsFBQXMmjWrJX8aYMqUKdx1111AU7qHJEktwXazrKyslmAaYMSIEUDTj41mtbW1rFy5kr/+9a8tz33//ffYbDZuv/32lueCwSCapnHHHXe0BNPN70ty8r7ZcEeOHHnA0rxGoxG32015eXmX6x0JIqDuowyJTYO3+oUjbHfYD7D2XrrO0EAQm6rzG9dIygydD2LYbkzgfvtgHt/6AzNPGM2n5vgm/EhNz0FXvch6OTCAmN40iFHTdQKqhqLrOAwy5gPkkAl938e1Dfy7qprbXY/gkasoiMzgs9B5SJJGmlzJKdbF/NZ1D5+FZvHcnpuwyTLjXUen11wQBKE7bDYbS5cuRZIkPB4POTk5B8yFNpvNzJo1i1mzZgHwySefcN555/Hwww/zzjvvtNu3pmls27aNu+66i6uvvprCwsJO87ChqdJFZ73T1dXVlJSU8Mtf/rJdMA1gMpmYOHEiBQUF+P1+vv/++zY91M051QUFBYwYMYKkpLZlWN1ud7vX2tymZh9++CHp6emMGzeu5bn169e35Eg3a87XPuOMM9rss7CwkPPOO6/T198Zi8VCKBTq9naHSgTUfZTRnYRh0BDOq67hr472H5aOjPT5cCoq71szugymmxUbHSwxe7iwopJPczvOE2tNkiQys/tj1VYjoaNLSdhlE69X1PBZXT2BvbPxSeiMTbBxrieZUQ6buI1/DPKrKv+qqOI821v8JziH7cpInGzHQDUAMU7hndAVnGhawzUJL3K+9hYLyucw1jlYTGUvCEKv01z3+FCcffbZjB49mk2bNnW670mTJjF06FAmT57Mww8/zLx58zrdX3JyMsXFxR0uy83N5cEHH2Tu3Ll4PB7uueeedutMnz6dp556iq+//hqLxdLSa56Xl0dmZiYFBQUsX76cCy+88KBe76JFi5g1a1aba/z69euZObNtidb169fjdDoZOHDfHe1wOMyWLVu4++67u33choYGUlJSDqrNh6JXdBM+88wzXHvttVx++eVcf/31vPnmm+3W2bBhAxdccEGbMjKVlZVccMEFXHbZZS2P5557rs12ixYt4tprr+Wyyy7jsccew+/3tyyLxWI899xzXHHFFVx55ZW88sorbW4nVFdXc//99zNnzhyuv/56li5d2mbfhYWF3HzzzVx66aXcfvvtnY72PVI8Z53D2TV1uKMHrr6BrnN9SRkmdD6xxJ/T/LE5laGVpYxNOtA2EvlDx2A2gUldi46JmPFENgbDvF9dhDewmJh/ATHfS8QC/2Zt/ff8oXgPDxWViIlgjkFL631YCLIodAk1SpB8/kgOz5HFW2TxFrn8L/15mqJYAvc2/IVRprU0xDTW+YM93XRBEIRDVllZ2e65UChESUnJAQcoTpgwgSuuuIKXX36ZioqKTtcbOnRol3HHpZdeyiuvvML999/fYUWM6dOnEwwGeeaZZ5g4cSJG474+1qlTp/J///d/VFRUtNSt7o5YLMYnn3zC7NmzW56LRCJs3bq1TboLNAXUJ554YpvAe+PGjaiqyujRbWeGPpDq6mqCweAB02WOhF4RUF9wwQW88MILvPHGGzz22GN89dVXfP311y3LY7EY8+fPZ8iQIR1uv3DhQt58803efPNNbrrpppbn165dy2uvvcZ9993HggULkGW5TcD9xhtvsGPHDubNm8dTTz3FypUr+eijj1qW/+lPfyIzM5OFCxdy66238uyzz7aUcPF6vTz66KNccsklvPbaa5xyyin8/ve/JxaLI7g9TBLGT8KancsT23fi7KpEjK5z7Z4yRgZD1JvsVBvir7pRbHQQMpgZY3ORP3QsNnv7En0JrmSGnziZlFQPCcpryAQJmS5E1yWU0MeEfS+jxTaAVgd6A7q6m2hoEVHfP9jmr+ThohIiXdS3Fvqez2prCOgWkllMFq9hoe3FRQLs7Cabf2DVf+Bp352MNa9kSV1dzzRYEAThMDrhhBP46U9/yptvvsmyZct4/fXXOeuss6ipqTngYEOA++67D0VROgyEm02bNo2qqqo2ecv7u/LKK3nhhRe44447eOGFF9osmzJlCrIs8+GHH7bLkZ4yZUrLbI0HM6HLsmXLiEQinHnmmS3Pbdy4EUVROgyo9w+c169fj8ViYdiwYd06bnNZwIOdhOZQ9IqAOjc3t00ekCRJbWYSevvtt5kwYQLZ2d2beOKLL77gjDPOID8/H7vdzlVXXcWKFSsIBJrqLi9evJi5c+fidrtJTU3loosuYvHixUDTSNutW7dy1VVXYbFYOOGEE5g0aRJffPEFACtWrCAzM5PTTz8dk8nEhRdeiK7rrFu37lDfjrhJRiN5t99FvsvN/B+2cm5VNdbWvb26zoleH49u28mPqmpwzzgT5SByl1VZZm5KIrnp2YyeeDqjxk5jwJDRDBwyhtETT2XkmGl4bHX0q32RlPoKpNhIYvIwlNBH6LFNne9Y9xEOvE5JqJF/V4lA6lhSHVNxsB0Pi7tcT0Ing7fQ9Agh3UZtLHKUWigIgnDkPPjgg5SVlXH77bdz5plncscdd+B0Ovn888+56KKLDrj90KFDmTt3LvPmzaOxsbHDdU477TRSUlLadAR25Prrr+evf/0rN910E//85z9bnne73S0D/fYPqKdOnYqu62RlZR2wfF9HFi1axIwZM9rkSq9fvx6z2dwygBGaamQXFha2m+xm/fr1DB8+vE2veTw++ugjTj75ZNLTj351sV6TQ91cizASiZCWlsaMGTMAKC0tZenSpTz11FOd5hLdcMMN6LrOyJEjufbaa1tGve7atatNMnxWVhZGo5E9e/bQr1+/dnUeBw4c2FJIfdeuXaSmppKQsK8s3YABA1qS53fv3t1mW0mS6N+/P7t3724p53I0GFwuBtzzMImL/sOvlizmlyVlFCU4iEkSmZEInmAI69jxpF00h1hVJYlffoFR11Ck+AJrq65iU6JkpyTzkNvBS2GFLbhxOSLIej1ptYVMXLaOUZvD2GLN6TLfUZuwjdLUMBsGmCkcaEaTO8mL1UNEwl/zWd1MLk1LFoMVjwGNioKCRBJLiScbWkLDxXK2xWaSJU6/IAi9zIMPPsiDDz7YrXVuuummNnfMD2bfCxcu7HJbs9nMNddcw2uvvdZSng9oU7e52c0338zNN9/c7vnWE7i0NmXKlE4ranS0f7fb3Wb9RYsWtatdfd1113Hddde1eU6WZYLB9ql+rSuDxEtRFN5++20ef/zxbm97OPSagPqaa67h6quvZvv27axcuRLH3hq58+bN45prrulwJKvL5eLPf/4zAwcOJBAIsGDBAn7/+9/zl7/8BYPBQDgcbhMQQ1OtxFAo1DIC1NGqFq/D4SAajaKqapfbQlMuVFfLm5WXl7eUb6murm7pHdcOZ4qDxULy/1xO0gWXEFi7hsyKcnRFweBKxDF+IsakprIzhhQPJoPM5Gg9BZb4EvZPjdSA3YE5fzDGujruzs3i43ofH9TIjF6+lZlfr2Czxcnz1oFsdDpRJIl0NcLMUBWnFPkZVqQwe1mQlaOtLBltRTW0D7H02Bai2umsbPQxPfHAsz4eLF3X0TQNTdP67EDI5r+bw/r3c5it9QYwEMLB1ri3SWQNFVyMxWDq1a+ttb5wLg5EfCZ6B3EehIP161//mkGDBnWYNtGTtm6N//v/cPnXv/5FQkICP/rRj476saEXBdTQ1Ms7ePBgvv32W1577TUGDhyI2WzmpJNO6nB9m83WUqjc5XJx4403cvnll1NeXk52djZWq7UlgG0WDAax2Wwt8943/xuaah6azWYMBkOX2zYfe/9fVYFAoGV5sxdeeIGHHnqo5d9z584F6HKgwSHJHdD02CsUiUKrYxnHjueitYUsNyejH+CL26BrXKhUY5k2leq9ua011dVMAE5Yu4Lw8iU85hrMKktym+0aZDNbTE4Wqjnc07gFdzjG5DUR+pcqvHJuAopx/+Mq6EoZm2ttDAoFEA6sqqqqp5vQqfJwDDM+JLquF9qagTASMXI005H7bBwhvflcHE/EeegdxHk4ujIzM1mwYAHV1dU93ZQeJ8syL730UrfTRA6XXhVQN9M0jfLycnw+H5s2beLqq68GmgJaWZbZvn07jzzySKfbN992yMvLo6ioiNNOOw1oyouOxWJkZ2fjcDhITk5m586dLeVVioqKWuo15uXlUV1djd/vb+mJ3rlzJ3l5eUBT3vcnn3zS5pjFxcWce+65bdpyww03cMEFFwBNPdTNOdrdmYb0cIpdchnK+rX8LLSbF225nQbVsq5zS6iYdLNM1gUXIztdVFVVkZaWhlJWSslnH/GEawirLUkdbg9QbzDzoHs4T9YV8oPPyYgyH5d9HuBfZ7ef3VFHwWS3k5HhOWyvtd0xdB1FUTAajX26F6j5PByoBmpPSanzIocq6EY8jQ7oGBiX5iEjIVzqdpQAACAASURBVM666j2sL5yLAxGfid5BnIf49LUf20fLnDlzeroJvcKPf/zjHj1+jwfUfr+f1atXM3nyZKxWK5s3b+ajjz7i8ssvZ8aMGVxzzTUt67744oskJiZyxRVXALBlyxbsdjv9+vUjGAyyYMECMjMzycpqqpl8+umn86c//YlTTjmFrKwsXn31VaZMmdKS5nHGGWfwxhtvMGTIEKLRKP/5z39apsjMyspi0KBBLFy4kOuuu45t27bxzTff8MQTTwBN+UULFizgyy+/ZPr06S2jYfcfvZqZmdlmDvsVK1YA9NgXvyU9g5w77uLsJ/9ARjDCm+ZMNhsT9s2EqOucoHiZG61gmCFG3m/uw5yU3HIbT5ZlGr9czBaru8tguplfNvJmQj9+qu7ir5UDuUfaxpIahTJP2z89g5yIy2g8ou+LruvIsowsy20uWpquE9I0VB0cBhlDH7igNb+O3ijPZiGoJxMjERMdD6bZX5ABgEyuzXpIr0vXdbaHInxaW8emgI+wBlYZRiY4mZmcTL7detD77kxvPhcH0tlnoi8S56F36MvnQRAORY8H1NBUbWP+/PlomkZycjIXXXQR5513HpIktclxNpvNWK1WXC4X0PRrdeHChTQ0NGCz2RgxYgT33XcfBkPTrH5jx47liiuu4JFHHiEYDDJmzBhuueWWlv3NnTsXr9fLL37xC2RZZubMmW16mH/zm9/w9NNPc+WVV+J2u7nppptaeqhdLhd33303L7zwAs8++yy5ubnce++9baYP7a1sg4fS/4FHsb35L8Z8v5ZKs4MiyYKERL4WwhMLYRs3gfTLr8SU1nakrBaJ0Pj1V/zXFt9kMgAFlhR+Iu8i0xThh1gCJxVGeOe0Vn96cjKK7GHiQcySp+k6pZEoPlXDJElkWkwkGOKb1bEmGmNxXSOL6+rwa00XAAM6JyU6ODslicE2a5+/uPWEIXYrGWaZ+ugU0vg4rm0aOIXxThvJpoP/SqqLKfx19262hlRONH3HBZYvccg+/JqTNcEzuLdhDENtRn6Vm4P7EI4jCMLxIVI+qN1zzVeEI3ltaL7Lbs7cfsSOIRx+kn6gidGFw6asrIz58+fz85//vKUXvafFamvwryhAqa8FJIweD84pJ2Pcb1pRTdOoqKggWdfYc8+vuSZlHI1y/D8e7q3fTHWdhZKojavSd/PgT/f1bhutZzLINY5HB/WPe38BVWVJvZdF1XXUqzroOkgSMjpTXAmc60li0H69kc23VQ0GAx/VeVlYUU2CVEmatBiXtAMJjZCeRrV+GjX6CMY7rdyS0w9LL+ptaT4PGRkZvboXaHFdI6+UlZLLn7HQdW5fgHx2cyP39M9m1EGme9THFO7fWUQym/mp4w+kGtrfGq5SM3nRfy9eaTAP5w/AfYh5dn3lXHTlWEk1EOeh5x2N83C0r6HB8vwul0tt/v/gz5u+Nz9u/2DMnrnjoPcpHH2im+Y4Z0rxkHR+/NOK6nsnkFG6+eWhSDJGSadGNWNTdQyqjmqQkEwjkM0nMDcjLe597QlHeXhnCY3RMCUV26iu2U0sFkaSZBJdqXgzBlPQ6GdOWjKXpCW3u0C9X9PAm1XVDJH/gUdaQ+vFdqmcFNYT1DPY7L+NP+7SuLt/LsY+epHrKacnuVjn87HB9//I4gVslHa4np9hlHEds1KSDjqYBvhbSQlufQt3uO7AJHU8uVKaoZzfuG7jCe//8kyJiXsH9D/o4wmCcOxTuzMQpNW6B7pa6B3+S1xj+joRUAtx0UJBtMoKVGNTOkWqFiEgx//nk6ZGKFetGPZ+eWiyC4NlPAbLWH6WlcYJcQZTVdEY9+/YTVldGVt2fIOu7yvRpOsaDY2VNDRW4k5M522mYJAkLkrbV4VkVzjKa1W1DJdfIEXufBIeu1TBcPmPFAbv54OaBi5MPXC+uLCPLEncmtOP50tlChrvwMU2XHy9d8ZEiRDZeDkVP9lc5HFzeXp8ZRw7UhQK80NQ5TH3450G083MUpTrHH/k3sZ/sDscIdca/6yhgiAcXxT90EoASjT1XLfuf9Y7jZ9FskBfJwJqoUvhndup++wT/N8sR1ZVmm+k3924lVccuay0JKEeYJKYAbEAA7UgL4dyGWtrpCbBiTHxerItBq7MSGesM/7c6ZfLqqj21bBlxyp0XSfRlU5iYhoGgxFNVfD5a6lvKKehsZLN27/hdWkyU9xO0s1N6Smf1jeSLG3rMphuZpXqyJQW8VHtHGZ73MjHaC+1ruv4VY2IpmEzyDi6yEHXdJ1vvAE+rWukIRZDkiTSTSYuSUtikL1tyUiTLPH/crKY5QnzSa2D5Y2DUPSm99AqaZya6GKmJ4l+hxjUflpbz0jT92QYOu4F318/426GmX7g01on1/c7+rNpCYLQN2gHGeS2jpmb0zlarh7H5mVEQATUQid0TaP6jVdp/OQDCk3JfCDls8XsRAPS9QhnqlXc7NvJ7JCdPyQOwdtFPvXsUDk/RBLwqwbOdleDzc2Db76A1WYjIX84sdPOaDf4sVFR8CoqBkki2WTEKsvUxhTW+oMUl2wk1dOfrMzBmE02AuFyVC2CQbKQljYeVVWoqNxBWflWoiEfi2sbuTLTQ1DVWO7zM1jqejrs1tKl5exWLmGtL8j4gxg02Zv5VZWv6n18WFVHbavJGHJMRs5PS2ZKYkLLzJW6rvNRbQOvVVQT1cEbKCemhjBIJnY7MvnW58dtNHBTvwxG7/c+5dus3JSdyQ39dAKqhgzYZAlNVQ9LvdCtQS+nm5d0a5txpi/5OjgMEAG1IAgdU7oxxEyPO/g+lGxroTcTAbXQoerXF1L9+Wf8wTScTbKrzbJiycjf5QG8pWdzZ2wLDzRs5p6kEYSl9j2bs0IVnBKu5Ts1kSdzNhK1wtbcakJ2MMUg/9si3B/9F9voMaRddyNrMfBRbS2bg/tu3RslnemJTkyyjBIJkpKSTaonj9rG9TT4tqFqkZZ1ZclEYsJAsjLHkOBIoqRiG5/ZXVyRkUJlNIaiy7jlTXG/D0YpSKJcyu5w2jEVUG/wB3myuIxYMELN2p0EdlagRRUMNjMNQ7MpOTGPl40Gpicnkmk2sTUUYmWjn/Ka76lp3NHmPZckGXdCLjHPGP6waw/XZaYzxtmUwuM2GrEa9lZQkSRce1OGdF3ncM2nFtbAKrWfurYrNilIWBO3WAVB6JzaxbeUvt9/47dfjzWi0/pYIQJqoZ3Qti00fvoRfzANaxdMt9YomXjUNIzHY4XMCZTyfwn7SunlKkEuCJZzWriGPaqVUUmNfH6WTnE+6K0yRNacFCOtEk79cgOVD97JS3N/Ssy2g2RtNQa9DpCJSnmsqp9KkDxCsQipnlx2V3xCOFrTrk2aHqPetwV/qIy8jHPRNI2wDkFNI7a3t0Em2q33QyJC9BgqhvNDIMRjRaXUrtlO7fLNrZL6QPGFiFQ1UrtiM+nnjOUzTUWSVDSMbN/zBYFw+4oduq5R7ytG0xRy00/i5fJqpIqmS4SEzmSng3M9SQyxH5kyhHZZwq91/nfaEb/uwtZHK0IIgnB0tB6U2PQ1GX8/dHcdjXJ8wpElAmqhnbrPPuY7Y1KXwXSzgGTkP4YsfhIqJkcJEZFk0tUIQ9QA26N2duk2+rlCvPMjHa+7gx1IUJUB716qMOsdL1f+53/59xyN1qU3rPomrMomYobrcNjzqKhd3mEw3VpM8VFWs5Tc9JloqsrDO0pI3lsjPKwnYZPq4n4/onpy3LWteztF0/lzUSn163ZSW9B5T72uqFR88C2ZF07EluuhtPq7DoNpaOqhzk0/iSRnLvXVFVSV7iLk9wJgT3DhzR3ISm+A6YkJ/CI7A6N8eC8YIxPcrPadxUzbu3Fv8030LE5I7OgPUhAEoUls76DEo9qdorfvwRb6BhFQC22oAT/+Nd/wsaF9QfvOfC2ncA27GKgGsOgaTl0FYJA5iCrBF2d0Eky3opjg81kqV/4Dssokyvq1X0dCQ9NjNAaK42pXMFxBNNZIOBCjYFcNLpcbV0oGa5V7GGGcj1vecsB9+PQ8fHoK47sxcLI3+8brJ6io1CzffOCVdZ3g7lqsuR7qvDs7WUkiL2MqdpOHwlVfEQr42ixtrKumsa4ae4ILfdxUYrrOrbmZh/ViMTPFzcd1g9ml5JNnPHDd1p3KEIqVAdyaLAJqQRA6F9Y76khpG/Aezu+yfWkkIpzui0RALbRRtGcPBk1ls9EZ9zYRyUCRbCdfD7DJ7GB+0oCmCVaC9cyOlVE0KL7f9wEnFOXLDN4wnO9y5yDrtSTwDVZtPTJRVN1Co38HdCP7tt6/lUTrcMp2baUMMJktZOUNQev3K4bzPCny+i63r9DO5ASHhQxL758BMx4fVtXRsHE3ekyNa31bTkpTOofe8frJrv44bZn8sHop4WCg0/0E/V4Kvy1AnnQqKxv9TElMOKj2dyTLYmaC08zf/ffyO9fN2OXO2+HXnPzDfw+TnNZj5pwKgnBkqMSTFnbwAXb7PGwRSPdlIolQaGNlbQPQ/YlbIpLMon4puA0xftFQzB6TjUGKn+KhGlo3siV2DNXI37mFrd+vZs/uRuq1s6g2/JawNBIdEzHF3612xRQ/JpN537+jEXZt28DunVvYpP6coJ7R6bbl2ilU65P4n7TUbh2zN9sTiRHc3fXMha0Z7Gaisc4H/HkSh1BdWtxlMN0sFPBRWbqLRdXxp9vE66bsfhiMOfzB+yzbY8PZP+Vd12FbbCSPeZ/FbOzHDdkd3AIRBEFoRdGlOB4yii4T2/uI6hKxVg+FfY/m56K6TLTVNkrLo+2+hb5F9FALLUKKQlnJbqCpNF6ZZDvAFnvpOml6hK/tTt7on878lZuZ6a/GoSsEujn5XcgOtphKY20VjXXVlBVvIT0nn5z8y5D0eqQOKol0RZYMaB0U5y/fvY1kTzpFiRczwjCvzWyJYd1DqXYWFfpp3NgvnWGOON+HPkBFR1fj7+HXVQ3Z2PF7brMkYbcms710bdz7qygtYmfOAPaEo2QYD9/vebvBwAMD+zO/1MwfvH8lx1jCBNPn2GU/AS2BNbEz2aNkc5LLxs/7ZWEziL4EQRC6Fl8PdVd0JF30QB8vREAtABDesY1d857mgtoaGiQjp2tVLJTz4tp2uO4jXYuwLDWRWouJ93I8zNpTQY3JjDly4O1bM0UhYpBaBiXquk7F7u1oqkrukJEkWNOp826Me382SwahgLfDZeUlO3E4x7OeR3FIm5FQiZJFnT6YXIvMXRmZjHYe/HTYvZFNkjA64/+BEKlowDUii/La9qkxVnMi0UiISCj+knXhgB9UhdJolAyjNe7t4mE3GPhVbg5V0RiL65IoDOQSijVNVjM+KYk7k1x4zCLNQxCE+Kjd7CVuncKxb3KX5opHIpw+1omAWiC0ZRMlTz7KKosLyeZmUrCeM9Uq3jX0IyAd4E9E1zlfK6fAk0ittSm14sOsFH5cVMlms5MJ22VWnqzF/U2St11is6N9fm1VaREZOXnYbdmYjAlxpX7IkolEx0B2bOq4B7W+phwJGJs4AJ0BqLqG22RiWqKTfJvlmCxfNC05kfoT++PdsCuu9X2FJSSNG4TNkkwo0jZVQ5LkNlO/x03TujVhQnelmU38KMMDeI7YMQRBOPYp+oF7qLuXB33kBjQKPU/c9zwO6a2CGdXnpeR/n2C5xcnYYAMWXeORjCFUmiz8RtmKtZPBaHt3xBx1DydoXl4duG/GuRqrGa/JwLCID7dXJ6skvnaZwzB4M7zn6Xj2urJdO9F1hfSkCXHtz+Meg6rEaKip6HC5ruugqYx1Obg5J4Nbc7O4JjOVQUeoXnJvcFZKIobURCwZ8VW4sGS40TSF7LRxSPt9XShqBJPZgtSNes6ybACjEecxUoZQEIRjl4rc7qHsfcT2Ppr/vW8dqYtHvPuQD0O6iXC0iR7q44CmafgKluL9+iuCO7cjx2IgS+BIwGxPIKgojIs08rErjX+k5IIkUWRx8GjpJn4f28i7hixWycko0t4PuK4zRPczWy1ntN7AQ6MHsGO/1IiIQcalxWgwWJi2JMZ7l6lEu7rDr8O0LyTqTCZWdlIfuKGmAnn4WBLs2fTzTKesZjkdz7cnkeoeQ5JzKJvXrWjzA6IdWcYiHT9fXFkWM1OdDpZfMJni15ai+EKdrmtJd5N6+ii8/kKcjuEM7HcKReVfo2kKAL5gBTo6yWlZ1Fbsiev4KRn9sMkyw+020OKrNCIIgtATFF3qoAb1kepsOXYmDzteiYD6GKZFwjQu/pSK/76NKRIlIkvIOhiARoOEEg1CJIhLUSm0uVqCaYBao5lfZ4/kR3V7uN5XzLXqLnZKDlQksrUQaURYmeLiV/mD2b5fMO1QVJKiCi9O9HDdt7VEYg5mvx1g8SyVxuT27bSEmoLpfjtlbhs8BK2T3mFNbQrAkowGnK58Eu05VHs34w0UoWoRZMmE05GLO2EosmRhy/cr8TXWdvr+ON0pSJLMQJvl4N7gPuoXOek0xBSkK0+lYtkP+LeUoiv7glvZasY1MpfkKUPwh7bS6F9DILSFdM9sThh4CbWNO6nzFaEoYRr9e8jIHRhXQC1JEjl5g5iZ4sYkSyiHa+5xQRCEIyCkG1tyoJscvQrRR25ORuFIEQH1MUqpr6P4iUfw1lTx37xkPspNptbaNCArzxfm/F11nLWnnjqzCQMqb7mz2sxOCOA3GJmf2p9/puQw3V9HViyMUdexhhVkXeX+MQM7PPZZ5XX4zDIr8hLIr48yvNFO0OziildK2ZUDO0boBO1gjkLOTolBW6DGbOa2wYMptnU+CNBobsrRvi23H3lWC183+lhUbaXCfeK+161EKC3eRk35bhQl1uV71C8nn/FOB0mm4+tjYJZl7s7P5t+VdXx0lpnIaSfg31WFGo5icFiw5aaiqkHq/avwB5tmU1RUH6WVb5GVej6exHxSk4a07E/TNPoPO5Hizd93edz8EWNwORI4O0VMqCIIQu+n6F1dG/bLhz7ISLv5Bmrb8PnYTDk81h1fkcRxQg0GKX7iETaFG7nvtCH4TW3zVXc5rTw7Kov/9E/mzyt2ogLneCs53VdNkcXB504PPsO+aghh2cBi175azDnRIM+XbCA9FKFyv95di6px0Z5qvhjkQpMlFg9ycs6He7jjvFOI5FmZvauWSV/5cMQ0YmYzm212HhrgYY0rsdOe6WYp6TkkGSQG263IksSZyYmckeTCp2oEVZUtwTDz9lQS9DUeMJh2p6STmJLBealJcb6rxxajJHF5RgoXpyWxyhtgW3oS2wJhiiIR1FgD9f41hCOlgITBYCfBNpikhFG4TDbuG5CD22igIhJFliR8qspfZBm7zUFJ0VZ8DW3vCriSPOQMHEpKUgr3Dcwm2WTsOg1HEAShF1DoxlgPvbn3Wj9gRQ+95SGGJx5LREB9DGr46H2qfA3cM6U/QVPHXwinlzZw5bYqHIrOGncidRYTZk3j/MYKrqkrYUlCCv9IycNvaP8nUm5qSoZOiiptAmqzqnFfYRFGSeezwS4AylxmIkYZd0Mdy902njoxu2X9oXln4a+pZ/f2A5fBkySJ7NyBzE5NQW4VeEuShMtowGU0kGExsyccgdFT2PbDt9RVl3W4L09GDvnDxjI3PYXhx1CN6YNhlmVOdjs52d00M2ZRKMIntU6Wmdyorb7kPUaJWZ4UTk1y4tg7oHCQcd9799jgXBaW21ib5EGNhPD5GpGQSHAlYjBbmeB0cGVm6mGbnbAhprDaF8CrqBgkyDKbGed0YJTFhUkQhMNDjaPKR+d0JHQkqXUvtAigj2UioD7G6IpC7Zef8XpeUqfB9BXbqrhyexULs7JYNCyVBtO+IEfWdSY2NPLTklKeLNvI7zJH0GBsGwQZ9n47qHsDW7OqcVplPXNKqrHrCo+flonfsu/Yerv6EE0qan8gP2ca3voaGmoru3xd+cPHkmC2cEpS11Oi/yjDg91g4E15AmokTEnJDkIBHwAOZyLZ2fkYzWauykzlHJF60M4Am4VfZGdwdWYaldEoUU0nwWggy2zqsvJJlsXMb/v3oy6mUNDgozaWCRKkmIxMT3QetrSaknCEtyprWe0LoKthYkoAWZIxmhKxGwycnZLEBalJWLtReQSgPqbwRb2XFQ31+FUNsywxwGbj7JRkhh/DVV8EQeiccoBKG519K7S5AafrIEkdrnuw9+meeeYZFixYwIYNG7j44ot5/fXX262zZMkSZsyYwZ133snjjz/e8vzbb7/NnXfeSXl5OVOmTOGll14iL2/fnBP33Xcfzz//PNFolDlz5vDss89isRxf44wOlgiojzGB9WtRImG+7JfT4fLTSxu4cnsV9w0ZzGp3YrvlmiSxKsnNBqeTxzdv5f6KLfy638g26RjDwn404I5Nu1FliaxgBCT4aqCTRcPT8Vr3BdPJAQWrohJxpwNtg+ZGfymlVRsYdMIk9uzcRHVZMaqitFnHak+g/6CReDwZ3Dswm4QDlFuTJImL05KZkeziyzovi+0OGpsHMxoMnJmcyIzkRFzHWd50d9kNMgNs3Z94JdlkZPYRSqPZ4A/yx+JSfKEKKusLCYT3lUOUJSOJCQPxx05ktdfH/QNycHYyw2Nriq7zSlkVn9d7MdGISV2NrHsJSUY2RIfyjXcomWaZ23KzybGKi4ogHE86q0O9f3C8rxZ1Jz3QenO+td7R0m4H1llZWdx7770sXryYmpqadsuj0Si33HILkydPbvP8pk2buPbaa3nnnXc4+eSTufvuu7nssstYtWoVAH//+9959dVXWbVqFYmJiVx44YXcf//9/PGPf+xmC49PIqo4xsSqqyh32gh1EExIus6PtlXxalZWh8F0a0GjgQeGDOLVdd8zLtjIGse+3tzZjRVsS7awOrdpAGGt3cl3WXZiHUwlfcYOL/70dGKDJsH299str6zbhKKGyco9gX4DhlJXVUYkFECSZJKTU7ElJjPAYuLmnEz67Z04Jh5uo5GL05K5OG1fWRFd11EUBWMcgZbQu+wKRfhjcSkV9RuprG8/UY+mK9T7tuIN7ELtdzaPF0s8lJ+LsYueZVXX+dOuUjb663Epb2LWt++70OmAtgY7Tuq187lvh8ZDA3PJO84qwgjC8UzVO75WtJ/MBbqXxnFoE7xccsklAKxbt67DgPqxxx7jvPPOo7y8vM3zCxcu5JxzzmHmzJkAPPzww6SmprJx40ZGjhzJyy+/zO23387AgU0FBx544AGuvPJKEVDHSQTUxxpd6/TX7piaAOmhGO8PS+1kjbbqzSaWJCdznreiJaAeGvYzOdjA4xMzKMzselruhIjKzKIgGf9zMSaTHY97IDUNO9utV9tYRG1jMW5nFknOPNI9A3CazJyc5ObMlETyRM/gce+1ymoag2UdBtOtqVqEHWWfYcq9mDXeACcltp91s9m/q+rY6G/AFXseI3UdrmPAh1N9HT+X8odiib8NHYi5m+kkgiD0Ta1TPro3I2J3Hb4ZFLdu3cq//vUv1q5dy0033dRmWWFhIRMnTmz5t9PpJD8/n8LCQkaOHElhYSFjxoxpWT5mzBiqq6uprKwkPb3jCdeEfURAfYwxJiWTFohg1DSU/S78U6q8rHa72uRMH8inqSk8sXkrRl1jYCTIw+WbiUkSZ2z3sjnNhmLo+KPviKr87utqnJ50Uk8+jesDYebrE9E0lTpvR9Ne6zT6yklx5eI0W3l8UC4Zlvh7pIVjV000xjp/iKr6DXGtr6gh6n07+bDG2mlAHdU0Pqqtw6Z81Gkw3UxCJ0H9D3XyMFY2+jklydXt1yAIQt8zzvdUl8tXOH59WI4zJfCnw7IfgBtvvJEnnngCu719h5ff78ftbjt2yO124/P5Olze/P8+n08E1HEQAfUxxjFmPFZgWoWXr7LafnCcUZUaU/eC1GqzGRn4XcVWJoQaQYf/zLyI05d/xiOflfHhUBcrcxwt6R72qMopRX5mb/eTnJhK7h33IFssnG6xoOjwknQSWSlDKK3dQqO/HE1TMBltpCT2JytlCC6TlXsH5ohgWmixyutHV4IEI9Vxb1Pr3cpW12AaYgruDvLlVzb6iWkxnHp8QbpEDLO6hg9rbSKgFgQBgNjelJDeMmZ54cKF2Gw2Lrzwwg6XJyQk0NjY2Oa5xsZGnE5nh8ub/795udA1EVAfY2SrlcRppzJ37XIKMlxteqmjsoQ51r3p6Sxa0/rGpChFdhNZMTu14yczP38IU7/5mqvXfcs1a+upTzBjBFK8EWSHA8+ZF+CeOQvZtq+02syUREY6bHxcm8gSazKxVje2ko0S5+9Xlk0QABoUlUjM261tonvXb1TUDgPqHwIhTNomJLquV96aRS+kODyVqKaJtA9BEFCac6z1tjMoxhNgty+ld+gWL17M119/TUZGBtAUEBsMBtasWcPixYsZNWoU69ata1nf7/ezY8cORo0aBdCyfNq0aUBTjnZqaqronY6TCKiPQSnnX0TemlX8dkMZT5yQ1RJU73RZuWRnHbKuH3ASlWbjvV5qbAYkdAbUxuj3/37Gk0MHoOv9USeORVZiBNevRWmoB0nClJqG/f+z9+bxUZVn///7PrNvmWSyr2QhLIKKsgtuqCjYigtYVFT8ufapz9On1tqn1bogrbWL1ta6tH6LVq0bWre6IoKKgAiCgOxLQiD7JJOZyezn/v0RCASyzEASknDer9eBzLmXc505c875nPtc93WNPAXRgSjONRu5MTeDa7LTqA5HCKsSm04hy2hoE196IFEXjvBpQxM7AwHCqkqKwcB4p4PTHTZ0A3SfuxMFkXjYOtHym+8oLLU/FgXZnJgdMghAUJUYNT2toTHg+dhyTxc12rsQSJBH+kN3NpGxo+2M5v1210ej0dZFVVWCwSA6nY7HHnusTYi8H//4x2RkZHD//fcDMGfOHMaOHcuiRYuYPHky9913H6eccgojgxu1OQAAIABJREFURowAYO7cuTz88MNMnz4dp9PJvHnzuOGGG7r4DjQOoAnqAYjelcqgn90Nv/81BSvLeKUghS+ykvgkL4UbtlQzvtHD8pSuYzALKbm0qprkSIykyhgiOwfbqNNbyoRALwCjEfvY8Z131A5mRRnwkw3dkSh/31vFN74AxJrwBcuRRDHoHCzzFGHX6bgqM50prs4jrpzoZJkMmI0uBAqS+N6wWE1pKEhSOwiPaNPpQXQ+qfZwVNESRtCsJY/R0DghOLbELrSMXIvun8g4f/58HnjggdbPr732Gtdffz3PPvssTufB+4nFYsFms5GamgrA8OHDWbBgAbfccgtVVVVMmDCBV199tbX+TTfdRFlZGWPHjiUSiTBz5kzmzZvXLTafCGiCeoBiyh9E8QO/Jfk/b5P/xRL+Z1MVtQaFiCK4tXwP3zrs+PWdH/4rqqpJjURw6/WkRaJYLr68l6yPn2iTB8/ijwnt3gVqDL3LhXPq9zDl5BxXu2rCEX61o4yGUC3upi8JR6ralIsmIzbLcP4eG0dtJMIPMtOOk6V9nwlJdv6hGHDYCmjy746rTUbycMYn2bF28KbkJJuFLxqHI2OGuN0+QmIkhWad5u6hoXGCkKigbjcSiOy+CB4HuP/++1tHnTvj2WefPWLdrFmzmDVrVrv1hRDMnz+f+fPnH6OFJyaaoB7A6FNcZMyZS9qs2fjXfUPmpo00fLoIYyzMHzdt4e6hpdQbj5z8p0jJFVXV3FRewQpXEuMbmkifcwOBouLjsBft49uyiYr/9ySitgZFQmT/L1kA7s8WY7DZybz+ZuxjEh897wg1GMS74gvqP19KpMENQmDKyCL13POwnz4Wsf8BJapKfr1rD/WBfdQ0vAfEjuhLyjC+5nVEonW8yXRyTKbW9N8abbHoFM5JSSIYORVfcwWqjHZe35SOxZLNtLSO38JMcNpZUGkgKE7GItd0aYPEQFg3hun7R3o0NDQGPl0J6sRD6bWtqb3rGlhogvoEQDGZcYybiGPcRJKmTKXitw+Q39zMv775ls9dKbyXkUad0YhRVRntaeJ7NbW4IhE2JNmZ0OAl85q5JE25gEBVVdcb62HqA0E+ffMNTlr0LvqYSkwPER1sGC6oS225+KXXqpy8ycfeJx4lafQEsn/0v8e83cZFH1Lz2r8IqPC+3cUeoxOBZGhlLec9/Vf0Fgu5N96G7bTRfOX1URsOU9v4Ie2J6UMJhffS5FvDK1Vjmey0aymuO+DKzDS+8fqJZp/HzsrFqLL9UWWLKZ2SnPO5wOVkiNXSbh0Ao6IwLdXFO7XTMER2dxo6TyLw6S7FpjN2GtdaQ0NjYHG4oO7+WNTdP3qtcfzQBPUJhjm/gKLfPYb7g//Q8MG7nOFu4Gx3Q+uJ3KjX49PrMKqSU60O8v73F5iLS1DVxKKDdCcyGiW0exebamp4r6KKS/eLaQHUpkJtmqDRKdhaIgibBKDwxRmSUd+qnPXlCqr//gSZN/9XV5vpkPq3Xqfurdd5Iq2Aj5PS20RO+Qh4JjWPmQ1VzP7zH8i69b95Lz0XX2ALUobj6t8f2ES9fTQb/QFG2hPz6z1RcOh13F+cz/xdYDZeQa1nC27vNiJRHwIFizmdjOTh2Kx5nJ/iZG5218mLrshwsTMQYKPvNmyHZ0rcT4wk/LqLkbrh/LIwX3P30NA4gYi0O0Ldk7I30STkGn0JTVCfgOhsdtKv+AFpM67Av34d/m/X0Lx9O9FImBSHg9zsXFLOnoKpePBxHTEN11RT/9LzNK77BoMaw4Rg1v4LjgTq0sHjAktEMuFryVlfqnw3TPDZRB1hk2DVaB1+q2Daos9IOuc8zIOHJGyDf9031L+5kAdyhrRJv34oAZ2e59PyaNTpufXvf6XxutvxszXubahqM5HwPlZ7kzVB3QlpRgMPlxbyRaOXd01mKlNGtpYJJGMcVqaluRhuNcf1u9UJwZ2Dcnlun4FPGq7DgAdDbBWKbEIKPTFlKAExlGyjwh0F+eSZtdjoGhonEiH1cIl02IhyD9weeyKcnkbvoAnqExih12M/bTT200Yfb1OOoOGD/1D9ygtUKybecuSz1JJGQNEhVJVL/VVMb64mtTYMEnaWwopJkF4D45ZLrno9ymuX6mm2Cr4brjBsm4rp1RfI/2Xis5Vr//MWHyeldyimD+WdlCzODXiYsGY5G0clFpItFPPij3XuHnIAtbqK+s8/JVJXhxBgyMrGOflsDBkDP1aoSVE4z+VkSkoSleEITdEYeiHIMBpI0icev1wvBDfmZnJFRiqLG5pY7knBF1MxCEGRxcJFqS6GxSnQNTQ0BhYx2cU15fAJh0dxmdAE9MBBE9QafY7Gj96n+uXn+cCWwTNJha0xsycE3Mzx7SE3EuTrDDtf2WzopeSU9X7GroiwswQ++B6c9yFc+p8oL12hRyqCNacqFL6zjWiTB6y2uO0IV+4junUz7xSM7Lryft50pPHjjd9gHlmKPwHvAL0wYurCnSC4cwf7nnuGWNkuvAgM+0dLokD9229gKhlMzo0/xJiTG/+G+ylCCHJMRnK6KfJiskHP5RkuLs9wdU+HGhoa/Z6Ew+bFIbA1AT1w0QS1Rp8i2tjAvpeeZ5U5hb8lFbZekS72V3GTp4w3SlN5tygPt8VwsJGUjKxv5rrNNXzvjSAfXQyXLYSiMsnOIsHuAkFMB6Ed2zCdPCpuWwJbvqPOYmOn+RARLiVF4WZc0QgxBJVGE9UGc2vxl/YU7qrcTmmjnbUub5xbUrCY8ijqJC6379u17Hv0YVQpUYAmRU+dzogRlYJIgIDQoduxnZ33/IxB/3cvliHD4t5PDQ0NDY0jOdY41EIe9InWBPTARxPUGn0K99tvYJQqLzryW8X06GAjN3nK+MOYXL7ITTqykRBsSLPxy4mDuHtVBVM+9LN9MIxar7KzSAEhCBtawt4lghoI4tO1nCImNcYFTbVc7K5hUDRASCooSAxCss6cxLspmXxpTyEqFMJC4aYP1/HcRDurCrv2ibaYi9ErBs7oIGxeeN9e9j36MFJKVpuTeceexbempNbvxxULc4G/hhneKvSqStlvH6Tk949hSO352NZVoQgfuxv5qqmJQEzFoAiGWq1MS01hiOYqoaGh0Y85GkHdNhLIARktNDl9AqAJao0+g4zFaPxiKd8ZHVQYDoY8+4G/gveKUtoX04cQ1Sk8PCaPBR9vw+9QGbZFYohIInowRkExmzttfziKxYw9FiU1EubBPZtJDkdY1ujiKc8gGmMGQJJrDHKW082dgR2ssjt5NKsYo1RZXmvmls/rsYZVlg7pONSaIsy4HBM4z5WMuQOXj6pnngAp+aczn387jkxY49YZeSUpj88safy67juSYlFqnn2G3J/+X0L7mwhBVeWJPZV85Q0go26amjehygBCGKhpLmJFUz55Jj13FuSRZTJ03aGGhoZGHyNeQR1fOD0tRN5ARxPUGn2GqLueWDjCVtvB5BnFYT/DQn4eLY5vwl1Qr/BRQTKTdjUAElMIcvdJ9DGBqaQ0IXssQ4aTFvDzu/Lv8Pr1zNs3hIB66CQVwd6whZdqc/m0MZXb83YzP7qZkBQsrM5iW7ONa1fuY2+yke0ZR0aI0OmcZKZMZ5DFyezM9hOGxPw+fDt3stSa3q6YPpRKg5kHU4fyWM0GmjZ8S3Y4jNJO4p5jJaSqzNtZzq7mRmobPiYSrWlT3hzYjE6xE3GezS93xPh1SQHZJi1ChoaGRv+iI0HdPfGoNYE90NCCqmr0GdRQqOX/Q64s44MNbEq2sM8e/+yzT/KdZNa3XKxiOjh9nYpt7Hj0Sc6E7DHm5CJSXOiDkif3DjpMTLelKmLm8YpCSoPNbPdZCak6vvIks9bnZMY2Jw7baIyGbAz6dMymIjJSLiYz7QeMTErnvuKCDickNrz/LkYkrzuy47J5l9HGapMTRap4li5OaH/jZcG+GnY1e6isf+MIMX2AmOqjtuE9PIFyHtpdgSq1+KoaGhr9i6hUiEqFyGHLgfWx1kUcxdLStrNtaPQvtBFqjT6DYrGgQ5IXDbSus8so9ZbEfqZuc4uLQbMZinepFJWD6/rvJ2yPjESI+Zr5sCGdYFfhk2gR1au8TtJ1odZ1S+uS+d+d2zhVdxk7XaMBgV5IxifZuSg1hcEWU6d+xs3frmWT0c4+Q8dZ/w7nQ3sGo0IewuW7424TL03RGJ81eqnzfIaqBrqoLanzLMZouo51vmZOc8QfYUVDQ0PjeBNWD4haQe9OK9QGIPojmqDuJSorK1m/fj2qqqLX65H9bMROStlqd0/ZrktxIZzJjPU04oqFceuMRFAwRRPbnjHWktWxwQkXLVbJuO4mTEXFrXbHa7/vm9VEo1FWebuOQX2ApZ5U/i9/Byn6CA1RA9ubrXgxkL17J6ljJnB+qpOT7dY2Iroze6KhELsNiSV72as3o6PlgaC7j9WSBg9SDRAK74mrvpQhAsEd/KfOwqhDkta0dywiqmRTcwBvNIZeEeSZjOT2YVeR3jgneppEz4m+iHYc+ga9cRz0+t6VLF3God5Pdwjt/nvkNQ6gCepe4umnn+aBBx7g2muvJSUlhWg0erxNSpiUlBRUVe3RNOQpF11M1asvMcNXyQLnIHYarEx1V2OKqoT08b0CO63GT1RAdoOB9JtuxjpuYpvvOxZnApVQVSXVMQvhBF69lYcsqBJcxjANUQMg8EUU3Bt28JU5k1WFmaTqFO7Iz6Igjsx7wmpF8TXFvX046MelZGR2++/sW68Pb2AbiVz+/cEdbGke3K4tsVgMdyTKRw1ePvU0ElQlJhFARUdIWig1K1yY4mKcw9onI4b0xjnRG8R7TvRVtOPQN+jp45CSktIj/XaEqh7dNSeeS1U/fnbS6ABNUPcSt956KxMnTmTZsmU0NDSQnp5+vE1KCFVVqa+vJzU1FaWLBCTHQvJZU3C/9QYz/FVU6s0ssqZzs7eMs/d6+GhQfBfTS3e6seTmk3/vrxGGgxEmpJTEYjF0Ol1c4kwRIKOJ3eDk/uXQb8gsYrgrG9n3wSr0NjNNZ4zg3pjKAyV5lFjajzyiSslbtQ14MnIZvmdfy9U3TkE5OOwniiD57CndPqITUFVUGU6ojVTDRCRtvvcDx6IsHOWhsgqErCGTj0lVvkYnWvpvltnUhM7mqcoz+MafxG15Wej7kKjurXOiJ0n0nOiLaMehb9Abx6G2trZH+u2Io45DfUiClwOH82BClwP0z+Os0TGaoO4lsrOzkVKyfPlyotFov7toCiFa7e5J2/U2GwU/v4fyX9/HrZ7dnBJuYrXRyexN9XyV6aDR3PlP9rzyRgZ5w+Tc89MOI1zEuw+KyUyqLoSCRI3z4pdhCKMT0BhtsTPfHCBVH2GrriXGdNQfpPLj1cjoKOYBfzupBLOu7UVblZIn91bzpceDpTTI5JUBhoT9bDV1HH7vUL7vq8KQnIyxB+JQ23Q6FJFYekJFMWIUHHGTrQpH+E1ZBXb5FYXiBYRoO6plFZUUipdJl5/ztfcnPLNPcFtuVp85d3rrnOgN+vM+aMehb9Abx6G33+zGe90/EtEyBgItCrp/HlKNBOmfj/MaAxpzUQmD7n8IXWYWEwJuzgnUY49Eefjz3WT72h8dFVIydXcD/7Ouiozrb8KQkXXMdkT9XsxKjFNs8btcTE6qpzmmUBtuEZ1nuRpYJ5KoUtqORFcv/ZZAOMoH9Y1H9PFmrZsvPY00N71MnXknW7INzGnagxLHO8KxgQaKIs1kXndj3DYnwqkOBw5rKYncIWzmUk6yHTmp8uXaOoxyO4Xi+SPEdJv2Yi+DxZ9Z2uhjeyDUYT0NDQ2N7iSRqB1Rte1yMILH4evjXzT6F5qg1uiTmPLyGfzwnyi899fYxo3HkuwiIyJ56pMd3LuygrFVXgY1BSlpDHDJDjfPLCnj9g01ZM29Bec553WLDaGKCvYKC+en1KHE4TPs0EU5w9mIVacikAy3+RjvbORd45Eh76Sq0rhxN+/UuNtM4AmrKm/Xugk2f4pU6wD492Q7pTEvP3bvQCc7Fp6jgh5+Xr8N+9gJ2E8fcxR73DVnpzhQhBmzqSCu+oowYzYXMS3V1Wa9OxJljS9EtvgPQnT93dpFOS6xmY/qG47Kbg0NDY1EibUJjXfYoipED1mOrNM2PF5rmLwu2x1cNPoXCbl8/POf/0yo8+uuuy6h+hoah2MuLiH3v34CtPgZBrdtwbboQ0Z//RXK/gk8anIyaedfQtJZ56JPjj8iR1fEQmG2CDvjTA3MyajghZq8Dl8B2pQo/5WzmzphxEaAM5IbmJVdzZuGHNbq27fJu2Mf/tNL8cZiJO33df7S4yMiI8TCW1rr1Tl1PP09Jze/18BTVet4x57FYls6PkWPkJKTQ01831fF2GAjjomTyLrl9m77Dg7HrtNxbkoSn6hnU1m/EFVt7qS2Qlry+WQZ9ZxsbztC/UWjF5uox8G2uLedJj7lS88wbspVO4zbraGhodFdqIeNEvfIRMLD+ozHW+bxxx/n2WefZf369Vx22WW8/PLLAPh8PqZPn853331HOBymuLiYBx54gBkzZrS2XbhwIT//+c+prKxk4sSJ/OMf/2DQoEGt5b/61a946qmnCIfDzJo1i7/+9a+YTIm5+Z2oJCSo586d22WdQ32nNEGt0Z0IIbAMGUbukGFIVUUNBBB6PcJo7BGfPUNSElZRwUOGYfzCsZk7TTv4pCGNtb4kYvtf7liUGBMcDUxJqaNJb+BdJYvbYzuZlV3FS6YC3tV37HoSC0YAqA1HWwX16iYv4dAWoO1kyL1pen4/K5kJW4LM3FDBTZ5ywkKglxIJ7CwoJv+aH2MZOrzbv4fDuT47gz3BEHAFtY2fEI7sO6KOTuckzXk2yeZsflGYj3LY8amNRDFTHu88SwCs7CWGwBONkWHUBLWGhkbPElUPTKI+sKY33DD2T2jsZFM5OTncc889LFq0iLq6utb1JpOJp556iqFDh6LT6Vi+fDlTp05l8+bN5ObmsmnTJubOncsbb7zBmWeeyS9/+UuuvPJKVq5cCcAzzzzDiy++yMqVK3E6ncyYMYN7772Xhx9+uEf3eKCQkKBuaOj8deu6deuYN28eixcvpqio6JgM09DoDKEo6Gw9myjEcfoYxq1Yxt8ZxC8MI7lE2cc1mXv5QcY+6qNGBJIsQwgfehbpMvmPksXtsR3sVqzMswzHLzo/vXSmlggkukMunE3RKKr0t1vfb1H4ZJSVT0+xkFMfxRaSRHSC2tQcohnXcOGQkm7b984wKIK7i/J4Zq+Bz5XvgerF07wZNdaMUIzYzUXoDNmUmA38pCCHNKOhg54SHe7R4kxpaGj0HtFOsuMeoDsltuzwQ1suv/xyANauXdtGUBsMBk466aSW5lIihCASiVBWVkZubi4vvPACF110EVOnTgVg3rx5pKens3HjRkaMGMGCBQu44447KC4uBuC+++7jmmuu0QR1nCQkqJ3O9lM3r1mzhgcffJB33nmHkpISFixYwJw5c7rFQA2N44XttNHobHbO9dfyni6bBfoiXpIFnC4bSNFHiCGoFibWiWRUIUiVIUbLBuaZuxbTAI6SbNRojPRDQvu1RPzoSIC2oCqCivSDdRS9BSvyiFHgnsSoKPxXfjazs6J84vbwVVMy/piKUQiG2WxcmJpCkaXj14SpBj1BChKJBkiAHHRIkvTxJVvQ0NDQOBb+4rqy0/If1b12xLpELsMHRr7/mjYrEbO65Mwzz+Srr74iHA5zwQUXMH78eAA2bNjA2LFjW+s5HA5KSkrYsGEDI0aMYMOGDYwaNaq1fNSoUdTW1lJdXU1mZma32jgQOaaweV999RXz5s3j/fffZ/jw4Tz//PP84Ac/6LexQDU0DkXodGRedgXXvPAcO1Ubm5UkgkLHl+LIcHRWGeVOuZ0dtjS+k46uO1cEySMKyTYbsR0iEIdYbWwwDcYX/DxuO3WGIgrMnYvwnsJl0DMrM5VZmakJtZvstPNqTRo+UYyDnXG1qZPnMt5pw6xdXzQ0NPoAh/tYA536RPdWMpfPP/+ccDjM+++/z/bt29HpWu4xPp+P5MPmGSUnJ+P1etstP/C31+vVBHUcHNWdadmyZVx44YVMmDCBiooKXnnlFdavX89VV12liWmNAUXSuReQct5UfiW38r1YJTbZNg6qkJLT1AYeYgv2JAuvXHUDxpSuBXXm5JEoBj2zstoK0XNTklBFEoo+L04L9RhNI5melpigPd6kGQ2cajNSKS9GxhEeyi9zccuTuDC1dzOlaWhoaHSEKkWXS0w9uHRUpycwGo3MmDGD9957j7fffhsAu92Ox+NpU8/j8eBwONotP/D3gXKNzklohHrJkiXMmzePpUuXMnr0aN58800uueSSnrJNQ+O4I4Qg4+rrMGfncM2br3OVby9fi2Tc0oARldGKDychHOMns/eSKwhWNZJ/6RlULV6Lv7zmiP50FiPpE04iqTSXTKOBic62FyqXQc+4JBur1Cn4m14CIp3aZ7SchVUxMD6pZ/3Je4LZ6encXzaUMjmbQbzcYfi8gMxiu/wxZzhtDOkgs6SGhoZGd3Nz1b+7qHHkAKI84tNBwdyRdO5oO2sY3cX2uyYajbJjxw4ARo4cydq1a1vLfD4fO3bsYOTIkW3KJ02aBLT4aKenp2uj03GSkKCeMmUKQgjOPfdcpk+fzvbt23nkkUfarSuE4Cc/+Um3GKmhcTwRQuCccgFJZ0/Bv+4bUr5ZTdjrRW82YR5URNKZZ6OzO8gGbtAZeXZfDbnTxhJpasazeQ8RXwBFp2DNTcNRkoNUVVwGPfNK89G143B3c04muwJBcFxJs+8tpPS1Y5Ueo+UsjKaTuaswF2M/fDOUazLwi8J8Hi6bxGZZRLpchEusQREtbwGCMp0aeRZ18ixOS0rittzsfptFTkNDo/8Rz+hx524cHbcXnRd3SjQabV1UVSUYDKLT6Vi3bh1er5czzjgDIQTPP/88y5cv509/+hMAc+bMYezYsSxatIjJkydz3333ccoppzBixAigJZLbww8/zPTp03E6ncybN48bbrjh6Iw8AUnYh1pKyeLFi1m8eHGn9TRBrTHQEDod9tPHdJo05aK0ZNKNBp7fW02V04ZrVEnLRVOColPQKYKzXMnMyUnHrmt/cp1dr2N+ySAe3q2wU3cjMrKLUHgjqM0gDOj0RRjNI7EqBu4qzGWI9cgshP2FIVYzDw8u4j91ySxpyKFMvQaT8CPR0SwdFJoVbk5NY3Kyo1cnXWq0EJOS1V4/H9XXsycYIirBphNMdKZwgcvZSQQXDY3+T3uCulv9oA/pK5HL2/z583nggQdaP7/22mtcf/313Hrrrfz0pz9l27Zt6PV6hg4dysKFCznttNMAGD58OAsWLOCWW26hqqqKCRMm8Oqrr7b2c9NNN1FWVsbYsWOJRCLMnDmTefPmHfNunigIKXvLTV5j3759/O1vf+OWW24hJyfneJuTEKqqUlVVRVZWVr/1k5dSEo1G0ev1PT7SKaVkeyDEV00+mqIxjIogz2TkzGQH1g6EdHt9bG4O8n69m2+8zUSkQEGSrUhmZGUyIdnRL0emof1jEVRVNvgCeGMxDEKQazJ2GinkeDPQz4ktzQEeLa/AF42RJlbgFJuQagwPw/FwKkGcTEyy8aO8bPTK8XvYGejHob/QG8eht++hI9+677gF6xTAhhkPdFlPo+9wTFE+NDQ02kcIQanVTKn16H1+hRAMt1kYbssFIColQlWprq4mK9nRb8VDR5gVhTH90Bd8ILLJH+DXu/eQzucM072BVw5it3oF3lgeQlFQYzGEUPnS42dt03Z+VJDNaIet34pBDY32iMU6+T335E9dG+bsl3SboA4EAtx4443ce++9DBs2rLu61dDQ2I9eCFRNsGj0MP5YjN+VVZDJYgrE62yO3UK9eiqRYICq8u+oq9xDLNri525LSiYzv4jfq5IpLic352ZorjkaAwYpOxm06Mk05Nop1C9JSFC73e4OyzweDy+//DJXX301GRkZALhcrmOzTkNjgNAUjdEQibDBH6A+EkWV4NDrGJdkI9/cd90aNE48ljZ4QfoYJF7nu9gPcasjcFfvY9d333C4h6C/qZGdG7+hes8u5OgzMArBDbkZx8ny+AmrKl96fCx2u6mLhAFINxiZ4nIx0Wnvt65UGt3LsTjEdqaJu+xWG6HulyQkqNPT07usM2PGjNa/Y7FY4hZpaAwQwqrKCo+P9+pq2R06eIVUCCGkF71Qea0mg8EWPT/IzOBku/U4WqvRG1SFwnze6MUdjSGANIOes5IdfWZyn5SSD+vrSBefUMs43OpJ+Brd7Pzum07Vhb+pkc3frEAZO5lzXM4+7fv+WUMTCyqriMkITrkcm6gAwB3N45m9E3m20sD/l5PNmcla7N0THake/VBx62Cz6L2ELhrHl4QEtcViISkpiZ/97GdHjD77/X5uv/127rrrLs3lQ+OERA2H8X21HPfnSwm43bhjMRpTUsgdZSBj8CZMiocYJurVkymPnUdQpmOJfUiFL43fBE7n1txMzklJOt67odEDlAVCPF9VxQZ/BIeoxEg5IAhRxGs1aYyym7k2O5Mck/G42umLqVRH4DTdWjaFb0YoOvbu2hqXIvA1uvE21PFhvYPb8vpm3NoP6ht5rrKWbPEWqXyBohwS5118RZZ8hzo5mScqLiUQU5ma6jx+xmocd+JJOtV1H91giEa/ICFBvWXLFu644w5+85vfMG/ePG677bbWSSgej4fbb7+dadOmcdZZZ/WIsRoafRXPkkVUv/wi4UiMpdEU9kozClDqruOCnW6CdpXt3w/SWNiEVbeYPGUxe9Tz2cpV2KMLUeRent77fVL0ek51aCPVA4mNvmYeLqvAzgaGK+9jE+WtZVKCTxSzy/897t5Ryj1FBZQcx+Q1QVVt+V+6COpyCfkOHk2EAAAgAElEQVS8eBvq425fVb6Lz1NSuTEnA8NxjPzRHluaAzxXWUu+eI4UsabdOoqIkMGnGGhiQeV1FFlMxzSxWKN/k5CgTkQ4961TQ6ObSMhRLDc3l1deeYVXXnmFxx9/nFGjRrF06dKesk1Do1/gfuffVD/3D55vTue28Cn8Ux3EJzKTj2UmT8QGc3v0NL5oyuLkl9JJ3dZycxYCCnSLGKx/Db/+UozqdxhjX/NydfVx3huN7qQyFOZ3ZRW4WEyReLqNmIaW34FD7KRE/AW7XMlDu/bgjkQ76K3nsehabgk+OQgZCeNr8nTRoi3+pkZiCJr6oLvfu7X1JIsNHYrpQ0kRq0kWG3m3Lv6HCY2Bh5SdLOphixTxL0e0bX/R6F8c1cyLKVOmsG7dOq699louueQSrrzySnbv3t3Npmlo9H38a9dQ98arPBIt4SOZRaSdU8qLgefVQt6I5TLsjVTMjQfjUBcoH2EQfsLKqZhjK9gVjLVkSdToFvaFwvyzspZbN23lmg3buG7jVn6+bQeL3Z7W0die5J06N2bKyRVvdpq4QQhJgfgXyFo+cicmYrsTm6KQbxJ4ZQlSPfo7el9Lb9AQibLaG8DFkrjbpLCEVU3NNB7HBxyN40tbEXzYcoRQ7kKAt1kOF9jt963Rvzjqqcx6vZ4777yTTZs2odfrGTdunBaDVOOEo/bdt1gi0/mGlC7rvilz2CvN5Kw+GGtZESp5uk8J60ajox6zrGCFp71U4xqJEFUlT1bs445t5axsWEeB+AdjDL/lVN0f0Uff5p+V5fxw83a+bvL3mA3NsRifNzaRJj5GiK4FphAqqSxiUX09kWMQs8eCEIJpqWn4KEXoFCxWe0LtLTY7Qkoc+viSF/UWW5uD6EUYG9vibmNnKzrCbG3WHnBPVGRMHFwOF709uezfpkb/4phjA+Xk5PCvf/2LJUuW8I9//EObkKhxwhDeW0F0+xY+isUbJkzwYTSbzNUOlPDBtS6xmShpSARSraMp1vMjpwOZmJT8sXwPqzxVnGG4nwmGeyjQLSFN2UiGbh3D9K9wjuGH5Is3+GP5Plb20APMel8AQQQn38bdxiW+plmFrc2BHrEpHiYlO7AqRoSiYEtOxpaUHHfbjPwixjhsmPpY2LmAqqInmFB6ZyHAIEIEeuFNhkYfRRXxLbIblvb61ehXdFtil4kTJzJ69GiMxuM7S11Do7do3rSRWr2dPbH4JxGulC5uje5i9NNZfPeDOvwZUQRREAqggDCg166jx8S7dY1s8jcywfAANtG+T7pORCnVv4mOEH+puIrB1mJSDV1fDiN1tXi/WEqoqhI1GiNiMhE67wIsxYOPqOuNxTDiQxHxCzKdCGEQIbzH8aHKpCjcXVTAL7aXEQ6EyC4czPZvv+6yncXmICUtk4vTu35b09tYFIUoZqQkblEtpSAiza1+5RonIPG6XRz6QimR63ff8ozSOEa6TVB7PB5cLhdLlizhzDPP7K5uNTT6LGowgD/BUyiEjjCCnREnpz6n8O11tVSnpyJkCJBIpZDc4xw6rT8Tk5L362opVl7vUEwfSpHuffbJC1jsTmVWZmqH9SI1VVQ9/xzB9WupFjY2B8xIBLnGMNFlS1HyC8m6+lqsw0e0ttELgXoUl1hV6jAcZ/e5QRYT/1uQzSNllSSnZZI3eDgV2zd1WN9ksTF09EROtVsY2gejYgy1molKIz4xBAdb42rjYwgxDAzpg/uj0UscjeA9vI3opExjQJHQ1f6RRx7psCwYDCKl5OWXX2bVqlUIIfjJT35yzAZqaPRVFJMZi0gsmoEBFSOSfzrymd5cw/iXJctumYSRjUREKSpWJmsJJY6aNV4/vphKnvHzuOoLAXnKe3zsTuOyDBf6doRsaE8ZZb+Zxzafntd9Q9gRtdF6l/RDhhJkWqiayb/7NTk//B/s4yYAkG820iyTCMlUTCK+aBF+mU8E43F7qIqqki89Xl6qrsUdjqFKiSIEWQXF2JNSqNqzk8a66tYQBAaTmYy8QWQVlDDUbuWng3L65FyaZIOeMUlWtnrPiVtQN3AO45KsJOu7bdxJo59xLIldNE48ErpS3HnnnQghOpzBLYTgySefbP1bE9QaAxnLkKFkRrxkEaAKS1xtxogG/ELHbqONvxqLGF/VQM4WCJauI2T4PpOSHdh1fWtCV39ie3OQVGUbBtEcd5tMZQ0bw3NxR6JkHJaxMObzUv673/B1k5m/Nw1Cbed9bo1q5jnfIPZFzVz51F8oSEvHXFxCsdlEgUmhNjyZPPFWXLbUybMZYTWQZer9zInrfc08Vr4Xb1QlFo2g6I2Ew800uKtISkrD4UrFnuJCjUaJhEIInYLJYsWAZEZGKldkuFD6oJg+wPfSXNzXNIIGxpAiOndhccuxNMqTuDit47cWGicA3ZR6XBuYPjFIyDnskksuISMjgwULFqCqapvF7XYjpWTJkiWoqqqlHdcY8BgLChFZOdyglHGBqGa8qMdC5yG2zleqWWxLI6joCCk6PrZmMH71p4T15+M0pDMnK72XrB+YhFSJQvxiGkBPcH/bI/2Wmz77FI8/zDNNBe2K6UP5OJjJurCT2rf/DbQMKkxPS6denkNAdp050C8LcMtxTEtLS8j+7mCN189vdu/FF2kkEg6hMxgp372edd8sorxsAxvWL2Hd2k+oqtxBc6CJGFF0Bj0mIfjrsGJmZab2aTENMMRq4YbsDPbIa6mRU1DlkQ8tMWmkRp5PhZzDjTkZWlKXE52jmUi4fzk0asdRT2bU6FckNEL95ptv8v777/PjH/+Yp556ij//+c+MHTsWoE++5tPQ6AlkLEbTZ59S+9F7qFX7SDcbOEcJ4wpHMMYky2Qq/1GzqabtzfgCUU0Jfh6zF7eu+9LiYkb1d2To8/hF8aA+F26sv2HVKUSJPyoFQEi2pJe2HBaZQqoqdR9+wEdeF7E4xx4+8qcxat1qou569K5Uzkp2sLopifW+OyjmL1hFRbvtvLKYXfJHnJXiZHQvZ8p0R6L8aU8luuhaIrpT0RskZbs3UFW1s029YMBLedmG1s+KomPkyWezYF8N/zsop1dtPlqmpjqx6hQW7LuEOnU6Trkcs9gLCIIyFw8TMCp6bs/NYpLmeqXR03ODtaHrAUXCzmHTpk3jvPPO4/e//z1Tpkxh5syZ/Pa3v8Vs1p7kNQY+ajhMxeOP4Nm8kddzXPznjBHUmlv8XXWq5Iw6D5eX1/Bg00YejZWyiSRMxJgmqrhc2cujrhIqDAfdQ3yiRUA/mJeFOY4oExqdc6rDyr9ri2mWqVjj9Fvep04kx8gRUT7Ce8oRHjdfhk6Je/tbo3Y8woJ/7RqcUy5AEYIf5+fy1F6FLzz/R4rYTKpYgoVKJIIAedTLKTTKEqa6HMzNzuj1wYklHh9CNhLDRMDvRdHrqarc0WU7VY1RtnsDK61JeKJRnP3E13hysoPxSXZWNvn4xG2lLhIBIN1gYLYrlfFJ9j6XNl3jOKH5UGskwFHFAzIajdx9991s3LiRpqYmhgwZwh/+8AdtlFpjQCOlZN/Tj1O1fTO3nl7Ks8U5rWIaIKYIPs9I5o7Rpbyf5+Jnui38UGznL7q1XKir5reppSy1tX2db5ctLiIma++OSg5UhljM5JoUymPnx1U/JvVUqFO5KDX9iOtXzO8jJhS8MhGhKPBIAzHfwdjWekXwo7xsHizOZ0TSGHapt7FenccG9QHK5Y2clnwqvy3J5//Lyex1t4molHzc0IiMrCCmG4reYKS6alfc7T2eGsLhAEsavD1oZfdjUASTkx3cV1zIX4aW8pehpdxXXMjkZIcmpjUOoh7HpROv2ccff5wxY8ZgMpmYPXt26/qtW7dy6aWXkpmZSXJyMmeffTZff912vsDChQspKSnBarVy3nnnUVZW1qb8V7/6Fenp6TidTm666SZCoVBi39kJzDEF2CwoKOD111/ntddeY+HChX0u3ayGRncS3LqZ5jWruPPkQvZZTR3Wk0LwVGkua1IdjNA38ZSrkLm5p7HC6jqi7lmBBnTFpQhtImK3IITg8owMdsUuplYd2WldKQUbordiVGztRlYRBgM6qZLokTEIiTgsHr8QglKrmdvzs1lwUglPDC3kiaGFLBheyq25WRRaOv499SQ14Qg+VaCP7UYIHUaThSZPbUJ9uBuqKQ9qN12NgYeQoouFHlj2993JnI2cnBzuuecebr755jbrGxsbmT59Ohs3bqS+vp6ZM2cybdo0/P6WjLCbNm1i7ty5PPnkk9TX13PKKadw5ZVXtrZ/5plnePHFF1m5ciU7d+5k8+bN3HvvvT3z5Q5AuiVi/dSpU9m0aROqqnLWWWd1R5caGn2O+kUfsCIjmXJbHBE9hODFwiycapTvTA4i4shTzaLGuKC5jrSp03rA2hOXM5wOLk13sTryM3ZFLyQqj3RH86o5rIn+lHrG88vCAqztJO8wZuegKjqGG5ri3naSiJAlfZjyCzqsY1QUXAY9LoMe/XEeDQ3uT3EuOJiCXVUTm1CuSpWgNgldYyDS5UjyUWRQ7DLz4iH9d8Dll1/OpZdeStphE5jHjRvHLbfcQlpaGjqdjv/+7//G7/ezefNmAF544QUuuugipk6disViYd68eaxbt46NGzcCsGDBAu644w6Ki4tJTU3lvvvuY8GCBd38pQ5c+ofTm4bGcUYNBQmsXsVbJxfF3WZzkpVdNjPn+Ot41ZnbpkyRkp807sbgdGIfM667zT3huTIzDZfBwCvV17At8gOyxJdYRA0SPY1yJLXqEEotOu7KyyWng5jPOrsD+5jxnL98ExsanXFtd7K5DpGSiuWQBC99Gct+QS8xImMeUBwYTRYCgfhdOCwmKymG3g/zp6HR0yycdE6n5bO+WNJ5B3G+tH9tcufbOVpWrVqFqqoMHtySyXXDhg2tgSQAHA4HJSUlbNiwgREjRrBhwwZGjRrVWj5q1Chqa2uprq4mM7PrSEUnOgkJ6ilTpsRdVwjBJ598krBBGhp9kVhTE0JVKbMlMPlWCPbYzJze2NhGUGdGg9zWtIfT1SCDfjoP0U8mc/U3znc5OSc5ia+8Pj6un0pFMIQ/qrYM/sgo25pV7tiyC6tOx3CbhZmZaRQd5nrhmjqNkV8tZ6TBw4ZI56I6XQkx3V5H+kWzEUr/SFedaTSQrJM064ZjUlcTkJPJyBiEp7EmrvYGg4nklCzGOe09bKmGRh+kI8Hc3vpefhlVX1/PnDlzmDdvHk5ny7XL5/ORnNw2ClJycjJer7fd8gN/e71eTVDHQUJ38iVLluBwODjrrLPQayJA40Ri/2SxhK+JEoaHfPykfjvbjHbGRbyM8rtR8geR/6NfYczK7nZT20OVkh2BEI3RKAqCTKOBPPPAT3FeE4nw4r5a6mMqkUgYVVWRMoZUJTq9HqPRQmO4mdUSVjXtZpDFyE8LcsnaP2ptHlyKa8bl/Pfbb/JU0yC+CSfT3q8gT9fMHa5dOIcPx3nehb28l0ePIgRTU1L4d914DMH/h2I6G1dqDkajhXA40GX7jMwiXHqFkfG4QWloDDDEAeEcz0h0ZynJuxmPx8OFF17IRRddxF133dW63m634/F4jqjrcDjaLT/w94Fyjc5JSBVfddVVvP3226xYsYKZM2dy1VVXaT7TGicEuiQnql5Pqbe5TWSPTpGSwU0Bvo4kc05zPefYDdiHj8B1wYWYikp6JSpOc0xlcYOHD+rrqIuASYSQCMLSRIlZ4aK0dCY57X0+KUeiNEViPLpnHxu9zSj7J3waDCZikSg6g4VQoJlQIIDBYEYRBoIhH5FYkN04+b9t5cwfXND6wOG6dCZCr+dHr79CpXDwkdfFzqgNFchSQkyxuxmuNGA9fQLZt/xXv5tgerbTzttuB1H9JEyRdwjqv8/Q4RP5buPnxKKRDtslp2SRnz+Mq7MzBtzvR0MD4MqlS9svaBXHx/C7P0RgX7lkabtd7Rg9OuFuD4jpsWPH8thjj7UpGzlyJGvXrm397PP52LFjByNHjmxTPmnSJADWrl1Lenq6NjodJwkJ6hdffJFAIMA777zDv/71L6ZOnUpGRgazZ8/m6quvbuN7o6ExkFCMRhzjz+CyLd/yZXp8iUNGNfjICoX4Y3AoJeYwpZPPxnXJZT1s6UFqwxF+s7uMpoiHPOUDRhmXYhItE+x8ajblkfP5+95z+aLRzh0FeZj6iZtCV+xoDvKr7eVEVBX3rnIayvYSCYVQdDqSsjNIKynEYDFjNJnZs3sTZrON9Mx8wtFmmoONSKOd+bv28OehRRgVBSEEru9fhmPCJFI+XUTWp5+gBFpCTamKDvv4M3BdcBHm4pLjvOdHR5Jex10FufymDJTot5iiS8ByDiefci57yjbidu9rE8HJaDSTmVVMbu4QfpCZ2m6EFA2NAUEHEwO7+/FRtv4TH9FotHVRVZVgMIhOpyMQCHDRRRdx0kkn8cQTTxzRbs6cOYwdO5ZFixYxefJk7rvvPk455RRGjGiZ8zF37lwefvhhpk+fjtPpZN68edxwww3ds5MnAAn7bVgsFq688kquvPJKGhsbef3113n55Zd59NFHKS0t5ec//znXX399T9iqoXFcSTn/Qk5b9hnDPX42OW2d1lVUyZxdVayJpNAojXzkd+H65KNeE9TeaIwHd5UhY5uYbPgjehFsU25XKjlJeZ5B8kO+9t/Dn8oFPxuUl/BIo5SS0I7tBHfvQIbDKFYr1pNHYUjt/fTZ0PIQcc/2cjw1dexevho12jYVfK3XR+3WnWQMG0z2iGHkDxrGlo1fEQmHyM4fzM69yxmcP4nGaISVTX7OPEQsGtIzSLvyalJnzkYNBlGjEWqavGTl5KD084eR4TYL9xfl85c9CjWRGMbYbhSji5LSMRTFojR6alBjUUwmK05nOukGHVdlp3OGUxPTGgMX0Vnwmm5U1Ud01YW4nj9/Pg888EDr59dee43rr7+ec889lxUrVvDtt9/y6quvtpa///77nHnmmQwfPpwFCxZwyy23UFVVxYQJE9rUu+mmmygrK2Ps2LFEIhFmzpzJvHnzumEPTwyOyRE6OTmZG2+8kQsvvJBHH32Uxx57jLfeeksT1BoDEnNRCfZzz+ehz5dw16gStia1n4xFr6rc+V05RZ4g8wMtUUG2x+wITwUyGu2VSYhv1boJRmuYaPgDetFxjGCbqGGM4dd84XuYVU1+xsc5uUxKifeLpdR8+C5y714qk22EdAJnMErKc/8P4/ARJJ1yGob0DHQ2G6biwSjGnvfZ/sPuffjcjexatgqpdhx3qmbzdoSikDl0MPmFw1i/ZinJqZlkuobi8VVhMhp5t9bcRlAfQCgKOqsVoaoIn7+d3vsng61m/jSkmO/8AT5y26gIBgnFJBhNDE0qIVWvJ82oZ2ySnWFWs5bIS2PAIzoTtoeWdcepkMAI9f3338/999/fbllX+mvWrFnMmjWr3TIhBPPnz2f+/PnxG6PRylHf2evq6njttdd4+eWXWbZsGSNGjODBBx/k6quvTrivxx9/nK+//ppAIIDD4WDq1Kltgo0DrF+/nrvvvpsrrriizQ9m2bJlPPfcc7jdboYNG8b//M//kJGR0Vr+wgsv8MEHHxCNRpk0aRK33XYbhv0hnnw+H3/9619Zs2YNFouFyy67jBkzZrS2LSsr4y9/+Qu7d+8mMzOTW265hVNPPTXubWsMPDLn3IBv3Tc8tnorizJTeDsvnW37hbUtGuOCSjeX7KnFHlT5o3cIdbIlakRM7g9PFut5QR1WVRY3NDBY92anYvoANlFNjvI5H9ZfEJeglrEYlc88QePXK3mz0Mn755VQa90vlqVkWEOAS3eUccbLG4gadOijKlgsuM4+D+f5F/bY6HV1OEJZKMzedRs7FdMHqNm8nbSSQqx2J3ZHClUVOykacgp7qtaSnT6EslCUYEzF3E6M6oGKEIIRdisj7FrmTg2NTgX1obSpJ+IT2FoivAFHQncKr9fLP//5T6ZNm0Z2djZ//OMfOfPMM1m3bh3r1q3jF7/4BYMGDUrYiEsuuYSnn36aV155hYceeoilS5fyxRdftJZHIhH+9re/MWTIkDbt9uzZw2OPPcYPf/hDXnzxRQoLC/nd737XWv7RRx+xdOlS/vCHP/C3v/2NiooKXnzxxdbyp59+mkgkwoIFC7j//vtZuHAhq1evBlp8lB588EHGjRvHSy+9xOzZs3nooYdobGyMa9saAxOh02EfeSoVUSu5e6M8+fUW3v50Ha8vXc8bn33L1duqWdOYyv1NJ7FHPShKMnQhVL0RYez5jHirvX6iMkKOsiLuNgW6j/muOUptuONJaAeo+ddz1H6zip+eUcA/h2ceFNMAQrDZZeW3Y/P566nZ6KIx/jwpjWdGWtn41SJ23XMngS2bjma3uuTj+kYCTV6a3Y1x1ZeqSv2ucmLhCK70bOpr9yKEgl5nRIiWh57mOIS5hobGAOWo0oZLiB2ytKYS72B9Z4tGvyKhobLMzEwMBgMzZszg7bffZvz48a1lbrf7iPou15GpltujoKBtVjEhBPv27Wv9vHDhQsaMGUNDQ0ObekuWLOH000/ntNNOA+Dqq6/m2muvpby8nIKCAhYtWsSMGTPIysoCYPbs2TzyyCPMnTuXYDDIsmXLePTRR7FarRQWFjJ16lQ+/vhjRo8ezfr16wmFQsycORNFUTjzzDN55513WLZsGRdffHGX29YYuCRNnMSgzz/lp56T0SPJ0QXQI/FKPTtjNmLtPKeeZ3GTNOGMXnlNXhuOkiSq0Ilw3G2SxB4EKnWRKOnGjpN0hKsq8X7yEU+cnsM5FY388msvjnCMiCLY7TDzQWEKK7IcxBTBh4NSyPGFmLWukZ9fnMvnxXau+aaBqX/8DQW/fABdbn537G4r2/wBvFVdxE8WAoPJhNDriIXD+KpryRw6GL3ehKrGUNUYer0ZVbb4Xpv7uW+0hobG0SNkN1yvuyMiiEa/ICFBHQwGCQaDvPDCC21GejsilkA62ueee453332XUChERkYG5557LgB79+7ls88+409/+hNPPvlkmzZlZWWUlpa2frZarWRlZVFWVkZBQQHl5eUUFxe3lhcXF+PxeGhoaMDtdiOlbDOiXlRUxPLlywEoLy+nsLCwzWSj4uJiysrK4tq2xsDFMuwklNQMzg/UsDCUR12081HnfKWZoaKR5PN7Jz7x0b1IbGmldvEasvGTD/GY9PxszT52pJh4f2gS9VY9BlUyojrA/36zF59Bx+9G57Ep1cqbJanM2OnmpOog32VZeOG0FJIDUZSn/kzBAw8flaUdEZUSNdb+sI7BbCa1uIC0wfnoTQffHASbGhGKQMqWdoqi4LCmocaCZFidrZkENTQ0TkASuZgeVle0v1rT1QOYhAR1T+Z0v/7667nuuuvYvn07K1aswGZriaLw5JNPcv3112MyHSlagsFga70D2Gw2AoFAu+UH/g4EAgSDQaxWa4dtA4FAu33X1NTEte0DVFZWUllZCUBtbS1+f8skJrWfvUo+YG9/s/tQpJSoqoqqqsc8Upx51RymP/4Ie1ULyyOpHdZLEyHucO7CfNo4jAWDjvn7i+c4pOgUfDIDVepQOp2mfhC/zEaikKzTddi3jEap//RjYnq4b0oOW9PbZo1cmW/npVNSuXK9m18vL+PeCQVsSLOxMsvBGbt9fJdlASF4/eRkJvxnL+V330n+XfdgSEuPc+87J9VgwGg9MsFIcn4Og8aNArUBo/oZSnAHQkaRwo7OcjIxOQpXega+pgKklFgtKaCGuTg1BSllm5Bxh6KdE30D7Tj0DQbCcTgc0Q27kmgED43+S0KC+txzzyU7O7t1Ul93I4SgtLSU1atX89JLL1FcXIzRaGTChAnt1jebzTQ3N7dZ19zcjMViaS0/IGAPlEFL6L9AIHCE+D20rcViadMWwO/3t+m7s20f4Omnn24T3mb27NkAVFVVdfJN9F0OPFCc8GTnYpoxk5veXMiwiI+Pg+lUHOIzbRNRJhnquMRWg7WoEHHJFd16zDs7DnlSokojVeoYcnQr4+qvXD2PAl0M0VBPR1aGPnqPkCK57/xc6mztXwMCRoXnRqcRVQR3r9rDjeeXUmE3Mcx78FyqTDKyJc1ElsdNdP6vcPzXHYikpLjs7IzhRFmZn0PFNxtaw+U587IZNP40jJGP0cW+bnNzE9KHMVqFjC5FGC6jaMhIYrEI0VgzDoON0lAzVVVdZwvUzom+gXYc+gYD6jho4lcjARIS1AdcIsaNG9dT9gAtT7iVlZV4vV42bdrE/8/eecdHUef//zkz23eT3eymd3oJCoIoCiJdxYKds6Nf2+kV252eFVHPct59v787vbOdeKenngW7iKKABUVUIoQOCQnpfTebrVN+f0QigZRNARKY5+MxusznM595z85m5jXveX/e78svvxxoEayiKLJjxw4eeOABcnJyKCwsbN0uGAxSWVnZGsaRnZ1NUVERo0ePBqCwsBCn00lCQkKr8N075rmoqKj1c3Z2Nm+++SaqqraGfRQVFbVWhuxq33u47rrrOOuss4AWD/Xy5csBWuO6BwqqqlJdXU1ycvKAzbmraRqyLGMwGPrGC3TWOQSHDmP620uYumMTlWIcDaoBs6CRTRNiXByJc87FOWdun2X2iPU8TKWa773zSBW/69JLHdJclKnTuTotldQOinSo0QiFa1fzn7HuDsX03rw61s2JJX5u+LGCwb4QcbLCrSsrKfKYWTkkjh2JZgbXhalSIljef5PsW/7Q5ZhdkahpvOYvwjMom5rthUhGIznHjcMof4ZB+a7D7QQimKNvEDZdBlIyBtHM7Tnp5HZRTlv/m+gf6Oehf3AwzsPBdkS1eqgPhbAemD+DI5pu3eU7evXZG/x+P2vXruX444/HYrGwZcsWli5dyvz585k+fXqbFHnPPvssTqeTiy66CIBp06Zx6623kgQF0O0AACAASURBVJ+fz+jRo3n55ZfJzc1tFcUzZ87kzTffZMKECdjtdl599VVmzpwJtHiYJ0+ezIsvvsjNN99MTU0NH3/8Mb/97W8BOOqoozCZTCxZsoR58+axZs0aiouLW0tydrXvPaSlpZGWlgZAeXl5a4z2QL3wi6I4YG3XNK3V/r66adnHHM2gMUcTKS/Dk/8DasCPYDRhzsnFdvQxCAfou+rqPJyTnMi3vix+lG9krOHJDkV1WIvne/kP5FjsnOiKR+wgZrj5+7VEoxFWZ8eWFlIRBT4bEs+ZWxr5NCOeeqsJq6wysbiJeRsbqXAYqXQYSPWHkAs2oNRWY0zu3UOmCbg4PYl/qqMINnqxuuIRtAAG+dsutxVQMMrL0UyXc1N2KqPjOi/cszf630T/QD8P/YOBfB72pS9CPnqM7h0fcBz4ChMxsHz5cp555hlUVcXtdnP22Wdz+umnIwhCmzhlk8mExWIh/qfXw1lZWfzmN7/hySefpKGhgREjRvD73/++tf+cOXOoqanh1ltvRVEUTjzxRC655JLW9uuuu44nnniCBQsWYLVaOe+885gwYQIABoOBu+++myeeeIJXX32V5ORk/vCHP+ByuWLat86RhSk9A1N6xqE2oxWP0cA9g7J5sAi+lv9Ijvg+aeI3SEJLWryI5mC3cjIl6hmkmV3cnpOFoZMJeMEd28hPtRAxxH6jXJth4/yNDfxrdCrNJgmAxaOTyasP8Mv1lbjDUaptRmyKgHPFcpLmX9q7gwZmu51Uh6O8N3UScjSMUVuDEOOdSVRLMVLPrqCb43ofgaKjozPQ6Ymg7s7zkC6aDyu6Lai3bt2KIcbX1+PHj++yj8Ph4KGHHoppvJtuumm/dVOmTGHKlCnt9hcEgUsvvZRLL23/Ru1wOLjjjjs63F9ubi6PP/54h+2d7VtH51CTZTHz8NBBfFjr4rOGNDYrV2ITGtEQ8asJJBhEzklO5BSPE1MXHiU1FKTZ0D3PWcDUMqZFUWmmRVAjCGz02PndSbn88ati7LKMMSrjK9xB30xNhEvSEkkzG3mmvAYxXBzzdgKgKjspCfWfByMdHZ1DR8yFXfamqwqKuog+bOm2oF6wYEGXfTRNQxCEbqXN09HR6XvcRgOXpiVxYYqHH/0BGqIZSAIkm4zk2a2IMb5elqx2XJHu3Qniwy3unUA7Xu2gQeKh47L45yfbkQAt2PXkv+4wxRXHM+U1CFr3rkGCphA5jLIU6Ojo9ILeil9dPB9RdFtQP/HEE62T/HR0dAYGJlFkYnzXZcU7wjbmKI5e+Qn2iNIavtEVJxT72eqyEDS237/WamRtioOJ1X7MlvYnAGrRKNHaGrRIGNFmx5CYFFOMqVEQMAoamhAPWkVM9gIgJuAymrrup3NIkDWN73zNrPcH8EajGASRwVYzo3Xnjc4BoNce6v0G7KklOgOBbgvqCRMmHPAsHzo6Ov0L29jxiPHxTCts4oORri77m2SVaUVNPJPX+UTDT7NcHFvtxzl+Ypv10ZpqvJ99Qt2qT5H2Sk+ppaSSNPtU4idPRbTa9h2uFUEQOC7ewbfKeAhv7dJeAA0rqjScE5ztZzrROXRomsaHdY28WVVHQFVQlCiSwYKmqnzjbUIQRbTGnWQYDZyXmshx8Q6MelEend4Si6Deq0+XvzhNL5x4ONMvJiXq6Oj0bwRRJHnu2cx/7UU2JVspcndcHVJQNa7/toZmg8iXGZ3P7ms0GzBoEH/y9NZ1Tau/oOK5f1Bit/NGcjJrXC5CokhCNMrMujrOef1VHO+9Tc5td2LO6rgq6ameBL7yDkIUPIhaXZfHKBvG4zSIjHV0LNT7KxFVZbXXz/KqemoiMhotE1NnpiQwxRmHRRp4WRciqkpI1TAJ8Hx5NZ83+pDlMKJoQYloiJKGt6qa+tJSouEwkiRRk5JCaThCvMHA7YMyGGazdL0jHZ0OOBBZPlp1tB4OctihC2odHZ2YcM46hWDJLhau/JJnxyfwdZYDRWrrZkltinDpunqG1YW548QcIl0IOauioggg/eRtblqzmopn/87fsrN5LykJ9grvCEoSL2Zk8GpaGrcXFzP14YXk3vsQptS0dsceajUz1m5hk/YLhNALCDS32w9AEYeiGKdyUUpyzHHl/YUvG5t4rqSSSEQm+OlW5KJ60DSqs90Uzx7Bvy1GLs9MZpbb2eN9yKpGs6ogCQI2UTxg39GeB4P3q+spjcqt61VVRlMVos1RBEFBURW2rf6KSKBt7L2vpobyzZvJzMtjoaaycHCWLqp1ekyPQj50jli6JahXrFihx0/r6ByhCIJA6lXXYUpM4pcfvsOC9V5WZlmpsxkwqhpjKwKMrgmxKcHKbVNyKXd07MXew8TKJtSfiiwpgQAVzz3FM5mZvJfccb7rqCjyx9xcHDt3Ynz+aQbdubBDe2/KzuDBXQolwtUQWYGkbEJgL6EmxKNI41GMJ3BBsoepCQMrX94n9V6eL60m8J+1hJdtgejPscRRCgm99gOmGcP555WTCCgKZyW5Yx5b0zQ2NQdZWl3P981BtJ9EtF3VmJPiZmZCPImmvquaWxQM8VBRGf5olMqyXdRVl6PIUQwGIwnJ6SSn52Ky24iGwmz/6uvWapj7oioKJevXA/CoIPKPUYP18A+dnqGH5ut0g24J6uLiYoqL209DZTQaSU5OZuLEia15onV0dA4vBEHAM+88EubMpenrL5n33ddEa32IJhNKcwgFeGlkckxi2iKrzN7diHPMMQA0ffU5TZLIkpSULrdVBYFn0tM5duNGIuVlHeYAD6gquRYr5SGZoHEuUeMcDGoxEEEUnETETNJMIhemJA+42OmdgRDPl1Xjf/Jzol8Wtt9JVol8vAWtPsArt81giNVCXgwhLQFF5fGdpWwOhoiu3Ezg9TUoZQ0IBhH/hEG8fdkU3s72sCA9iVM8XcfUd0VJKMy9O0upqtzNzi35aPtkWvH7Gigr3MKgUeNwuVMwWSyE/P5OxyzduJGkrEzW+PxM6aACqI5OZ3Qr5KM3z2y6J/ywoFuCOpaUeVarldtuu43777+/pzbp6Oj0c0SrFeeM2ThnzG5d5131GaX/fo5rCir5/ZTcDrN7AKBp/E9BJQZVI3H+xQDUfLqMt91u1BjDCQptNrY6nThXfkrSxZe3aQsoKo/uKmOLP4AgSURDYVRZxmgxE5WGAZBiMnJNRjJj7NYBWZ3u/ep6lPXlHYppUdDIsoWxSSrRrVtp+jyN92zWLgV1RFV5cHsJRUVV1F/7T9Syhjbtys5qwq+twXTGMbzwwPlowKm9ENWapvH4rjKqq8vYsemHDvupqsLOjd8zdMxEcieMZ8uqzzsdV1UUqouLed9q0QW1To/oVsjHvn07u6T0UkA/8cQTvPDCC2zYsIFzzjmHV199tbXt2muvZdWqVWzfvp2///3vXH/99W22feONN7j99tupqKjghBNO4PnnnycnJ6e1/Z577uGpp54iEolwwQUX8OSTT2I2d+0g0emmoG5oaOiwTVEUysvLeeutt1i0aBEpKSnccMMNvTZQR0dnYBA36USMr/yb+LDMQ6uLefTYTKrs+6egs8oK/1NQxazdjZgHDcGUnommaVBdxYZhw7q1z3VWK3llpW2KwjTLMr/duosmRaWhqIy6rbsI1XtbGgWIS0/GM3IQpCbxTGkVfxqeg2WACWqfrLDG10zgg437tcUZZKYk+5ic5sMlKoQFAaOmoa59hY2+9VScfQ5po/I6HHtJdT27Khuou+wptPqOvcCR99fhU1T+9ch8jnbYSDf3LN3gxuYg1VGFXds2xNS/ZHsBY0+cjd2dQHN9x/ckgMbKKkoGD2qtjaCj0x16MymxTTaPfQR0b3+J6enp3H333Sxfvpza2to2bWPHjmX+/Pncdddd+223efNmFixYwJIlSzjppJO48847ufDCC1mzZg0Azz33HP/5z39Ys2YNTqeTefPmce+99/Loo4/20uIjg24Jaqez80ktbrebMWPG0NTUxFNPPaULah2dIwjRbCHjht/C/z5GSBJ55tMdrE1xsCLLRaNZwiqrTKjyM3O3FwEQbXYyb7i5ZWNNQ1BV5G6KnqgoosrRNuvu3Lkbn6yw67M1NFfuk91Dg6ayaprKqvGMGgwTRvPIrjIWDs7qxZEffHYEQyCryOvL2qzPsYe4fmQFTQ6R9/LiWT3ITtAkImgaoytDzNxWRNNjD2I6+3zcZ52737hRVWNZVQO+Jz5uFdNmA0zIFUiKA1EAVYOyBg1/GBq++hF5y1Q+9jhZkN5x3HtnLK1toLG2gmgkHFP/SDhIY20liTk5XQpqVVFQEVCB2LKn6+jshdZzV7LQVcXEXnDuuS1/u/n5+fsJ6htvvBGABx54YL/tXnrpJU499VTmzJkDwKJFi0hKSmLjxo3k5eWxePFibrnlFgYPHgzAfffdxyWXXKIL6hg5IFk+Zs6cyd/+9rcDMbSOjk4/xn70MWT89jZ48v9osphwNyv8Jr8cu6wSFgUaTQaMCBgSEsi4+Q4MHg/QkpZPsdtJC4cpiIv99XxGJILZldD6783NQSojMru/XLe/mN6Hus2FmOxWNg3PoSYcIamHHtZDQUhRESJyG89XqiXCDaMqWDvEyr8nuVH3moinCQIb06xsTLNydJmN37y3BNFoxHXamW3G/dbnJxyJEl76I3YznDFO4PihIiFJotBiRxMhKxJijhxBAYxA0XuLyZdPI3ze2ZhN3fsOVU0jv6mZhtqqbm3nra8hOS23y34GsxkDGpLundbpAT0L+Wjnt6a16XDIclAXFBQwceLPOf/j4uIYMmQIBQUF5OXlUVBQwLhx41rbx40bR01NDVVVVaTEMLflSOeACOpgMIjR2Hezv3V0dAYO9nETGPLnJ/F9uZK45R8h+ltSm5lVjbT0bJJmn4Z9wnEo+4gc16TJnPXdGj5JTIxpPw5ZZmpDA65Jk1vX/aeylog/gK8ktuqINRt34BmRy6+37EJUNAwiZDmsXJji4WiHrd+GCVglEc1saEkr+JMX7bxBtWxNN/OvE9ytGTnaY32GladPSOCG11/BcdyJsNebx5JQGGX9bhLEKL+dayDgNPO/yZl8HZeALPyUAlHTGBNs4vz6csYGfVRnCpyy4h2KCwsYcvMdSLbY8nirmsYd23cTVTVUtXvpFFRVQYwht3ZSdhbjHPZuja2js4dnrz650/ZrnlnV+nmvx9cux93X8f3stZ3vp6/w+/24XG3nO7hcLpqamtpt3/O5qalJF9QxcEAE9YsvvsiECRMOxNA6OjoDACk+noS5Z+E69QzUZj9qJIJks7VWN9Q0DfZJe5YwYw6jPv2YEX4/Wx1dl0k/s7oaMS4e29hjWtft8Aeo27orZjvlYBhfaRWOJA/NL3+PlOFk+9Sh/NEfwmmU+F0/LQ4y1GpBkEQMx2Qg/1BKsiXCKEeQe49J7VRM72FttpXqBAvuzz8j/sxzWtdHNA3JH+C6ORLlbgf354wgLO4TLCEIFNjiKbDGcVXNbk6vqOL/piZz1boSTP/3CDm/uwchBofKc2VV7AqFUFUFo7n90vMdYTJbkCORTvsYLRbiU1KYm5TQaT8dnZ7S0xjrQ/WY7nA48Hq9bdZ5vV7ifnoruG/7ns9x3XhreCTTLUG9ZMmSDtsURaGyspJ33nmHVatW8dFHH/XaOB0dnYGNIIpIcfExxa+aMjKxTprMQ/nf8+thw6iwdCxkT2ho4MryCtKu+SWC+LOnUhNFQg2+btkYavDhSPYQ+XwHAME38jGfPBQuPpZ7d+7m7kEZMaWaO5jEGSROcDr44vQxeH8oZVJiEztcJkrcMYZcCAIfDbWQtPKTNoI6TpI4VqnEFifxYPbw/cX0PmM8n5TF4HAzUwubeOjkJB79uAjfFytwzpjT6e4bojKfNTShKjKSZCApNZvKkh2x2Q4kpmZTt6ukw3ZRkhh+/HEMspgY1Q8fiHQODw5EJcUDyZgxY8jPz2/9t9/vZ+fOnYwZM6ZN++TJLW/98vPzSUpK0r3TMdItQX3++ed32i6KIhMnTuSDDz5g5syZvTJMR0fnyCP9f65H+X9/4h9bt/LvlGQ+TkzEb/j5MpURCjGvupqzq6tJPO8XxJ14UodjCZKIMycdW7Ibc1zLa/9QYxOhXSWMKiniqKiPNDmEuK4UX3Umm+KaKGhyoEYVwsu3otYHsP/6ZB4uKuevI3NxG/tXYdnTk918lZeKacZwEnd/TlFK9+KXd7lNiL4GtGgEfvqOJ8TZSCrdyFJPKgEphuMVBJYkpLGwZBsvj/ewbLCdcz5ZSvz02Z2Gy3xW70VRFepryklOz8VisxOfkISvoabLXTo9KZitNhRFRhDF/XJWOzweco4+igyXkzsGZfTbsB2d/s/1T6zqtF3Y70MP9/PkqnYjRdYubv9NvyzLrYuqqoRCISRJwmg0EolEUFUVVVWRZZlQKITRaESSJC699FImTpzI8uXLmTJlCvfddx9HH300eXktWX8WLFjAo48+yty5c3E6nSxatIgrr7yydwd3BNGtO0RRUVHHAxkMeDweLJ14lXR0dHQ6QzAaybr5duKWvs/1n3zINeXlbImPJyAIJMoKQ3xehJxcUn59K47xx+63vUnTsLqdOFI8uIfntsTZCgIaGvFV5Zy5YRUjdheioiFpGj+6HDSIzcTt3sSVg/w0yRKrqhP4rDaB6A+7iawuhGOz+bTeywUpnkPwjXTMIKuZ6zNTeOraE5H+kY8qdF7oZF/25PsOygp7AjTS6muJ1teybMi4jjfch3V2J41GA+NLm1kxNI6z3y0lXLgDy5COUyCuqGtEFESCzS2xm/U7Shg8ajyb131BOBjocDuL1c6Q0ePRNI3M0aNJHzGShvIyoqEwkkHCmZqKxW7n2Dgb12WmEmfQc3vo9JweeaC7I657mETkwQcfbFPr4/XXX+eKK67ghRdeYM6cOaxa1fIg8MUXX/DrX/+axYsXs2DBAkaNGsXixYu59tprqaysZNKkSbz22mut41x99dUUFxczceJEotEo559/PosWLeqZkUcg3RLUeyf/1tHR0TkQCJJEwhnzcJ12Bs0/riO5aCdaJIJos2EbewyW3MFt+qvBIM0//kC4oZ6T67zscsRR4knE5m0gEAnSUL6LMwvWcVJjHUGjiILGi4PSWJrmwWf6+RLoiMqcUlHPZcYKsu0hXihOI/zpNkyTB/NhTQPnJLsx9DNv58kJ8VhFkaJh2aTXxJbHeQ+pvihBk5G3fQEu/ylGUvZ5URGoNsTu7dYEgSqjmfiwSr3NQLPNRLSmplNB7Vc13N4G0nbtJDMQoqhgJ7XicYweP5XdhZuoryprM1FRFCU8qZlkDh5Fc0Ut1iQ3ggSCaMCTnY2gRTFTgyYpnOJJ4NK02Ca26uh0Sk8Eb2cFXvqoIuLChQtZuHBhu20rV67sdNsLLriACy64oN02QRB48MEHefDBB3tp4ZFJn7zDVFWVWbNm8fTTTzOsm4UZdHR0dNpDkCQc449t1xMNEK2rpf79d/B+tYoQUG42k62onPiTh9P001R6RWi5j1XZDThDKjdNGM6OuP1jov1GA29mJ7PWE8f/rt3OOZEalhQKqA0Bgm47paEIudb+VzHsOKeD0WfMpeKhNST6ZWodsV3WT97u58usdL5pbOIXaUmYJQnBYEBEQwS645wzaBrKT6HsqgCoHW/dvD6fX7zxOkNLdlIvmgiKm5ihRrG+vZEfUrJZe/IsSk/Mo7GuCkWJIhmMuDypoKrUbi7CX17DkFPTyP/uE8KhAIOHjmVoqpeh0j/Zqf4SDd3xo9M3CL3IQ92KXlb8iKFPBLWmaaxcubI19YqOjo7OgSRcXETxYw9RJAq8nJHFapcL+afJiXZZZnZ9HRdUVyDbVNaMMTFhS5iMGpmH83LbFdN7U2K38shROTyQX8jyGjdaIAJuO8FOROKhxj50OEJmBqdu8vHScV1ntRhcG2Z0dZjnsoyM3bmFH2tKGZPkRvIkowkCo4NNFNjiY9q3TZHJCQX5MM6OLaJgD0aRXPuXItc0jbo3X6P+g3fYLXp4zphHodiSzUUQNcZoPk6pqeL6157n+SETyD/qGAxGM2pIpmLnBrzFFWiaxqBZkwgGmnB70olGQkSiEaJayzgqNqwxpNPT0YmF3k06PACuaZ1+Tf+aZaOjo6OzF9HaGrwrP6Vp21Zkvx/JaMCanoHvh7WssDv4U+6g1ljgPTQbDLydnMKnbg8P79jK+C0RCoaYsPtkPk/aX+i1x1p3PBUWMycmeFltawl/MIv9K9xjbwRBwHj+JUz/65+ojDewfGTHaa7SG6Pc9FkNpVYTj/ywE21dIRHJSIkSRZQMiG4P87zVMQvqWd5agiaBH9NtzNruQ4iLwzpi1H79Gpe+T+2H7/KwYTgbxLZVdzVBYIPgZIPoZKZSzdU7v+OROi/fWtwtxydJJI4eQkpeDqLRiFmrxJMbR5hcVMFCFB/Nag5+shmpZ/XQ6Sti0cEd1mvZf+P91vTfS4pOD9AFtY6OTr9D8fko/+fThH78njKjnW9EJyEkXFqQ2cVfUWy1tium96bJYOCuIcNZvGkD4zdH+Sg1sU31wE4RBD7K9HBquJFvEmwYNcjo55UUtRF5vD73QuZ/8F9GVIVYPjKOrcnmluIvQEKzzLQdfk7d2IRR1dhis/Js0iB+sDrRBAFJUzk+0MglTeWcEGpmhCuVrdbO84E75SjnNVawYngcBlXj9B0BEmfNQ5DaTgZUmnzUvPkqfxdz9xPT+/KplEyiFuYaXzHfmRMQzCaGnnI89niBHOltUsXVGIWWsB5Vk6jTxlKinMp2foVLEsmzdy+ntY5OR7RbKbEXzub9rj6dxVvrDDj6RFBLksSKFSsYMWJEXwyno6NzBCM3NrLrwXsp9gV5yj6abZKjVRTaNJmZ0WpeSUvrVEzvwWs0stSTyOl1NVSldk8QV1lMOEwaWjDKrMwkzGL/DiWIN0gUjDyKbxu3cs62In6/vJp6i4QqgkXWiAurBCQRg6rxl8QhrHS0nbinCCKr7W5W2xJ4tHITD+3ewt1ZI9hibd/b7Y5GeKBsC16HwCfD4rj5q1rcZgfOmbP36+v7YhWNgpmvxNgypXwgpXJmtJI5QzyUTpyA3VjHMYY/YRLahhWKgkKS8AOJwjq2KpdTp06mKhIltZ8//OgMENoJ+TiQmrcvQrZ1Dh19cofQNI1hw4ZhNve/CTs6OjoDB03TKPm/P7HTF+YPlhFsM8S1immAidEGQqLI1+3E6HbEh4nJGFQNYzfvVkZVRTYbkaxG5ng696r2B9xGA7lmA01DxvLnUVksS00gLqhi92mU1lnY4LPT3CwhajCtqZbh4Q7S7AkCf0gdTblk5s/Fm1hUvp0J/kYcioxVURgaaubXlYU8V/QjUbvK17l27l9Rw5iIhZzf3YNk39+rXbvyMz7SOi+Jvjd+wcjXopvjy7YhGgTGGf68n5hua7LGCOnfOCjkjeramPaho9MVgqztt7D3ovTtIih776v/ztnQaZ9eeaiXLVvGfffdx7p161AUhW+//Zbx48dz7bXXcvLJJ3PJJZf0lZ06OjpHAKGtm5GLC3nEMZawsH8OYbcapdxsQRFi9wWUmc1Imsa4hibeyUyKebtxjc3UepK5MSuVtAHi8TwjyUNtbRJ3f7sDk0/l1fIU8hsdyNrP31e2NcSMlAYeCW/i0eShrLG59xtHFQTuSR3FS6XrODE1mQk7tiPulcbOb5QI2I0M8skM2xLEffIsEk47Cym+/bhrubGB3UJ2t45lN1amNPtJFb7ELHi77C8IGhnih3zjHcLlaQrxeg5qnV4idvUM3hchGx3uQ4//GGj0WFC/8sorXHrppVx44YVcc801XHPNNa1tQ4YMYfHixbqg1tHR6RZ1n3zE9yY39WL7b7tUofuprARabown1nrxhCPUxSCO46My06saCP3PxYx3dTzBr79xnM2C8OZL+BtE/rYtg5C6v6gsCVp4YVcas5PruZ0d3JE2mm3m/b3KfsnA5w4Pp1ptDPnbM8iN9aihEJHdJSSGQwAY3B5sY8cjmjr/TuUevMsWAASJAGmomgFRkLvcxiNswCQ0863Pzyx3/3+roNO/EdTu/W5be3dWQvGnvwVdLh9+9Djk44EHHuCmm27ilVdeYcGCBW3a8vLyKCgo6K1tOjo6RxiBgvWskPb3mO6hSjSTEw5hUZQO++zLsEAAEaiNk7hmZ1nXgYqaxlWFFRicLo454YSY99MfCH+/hoTaWp7ZntaumN6bT6rdrG90cFF9aYd9thtthGuqkex2zBlZWIcMwzltJq5TTsd1yuk4Jk7qUkyXhyM0xDnJ1Zq7dSw5WoCSqExdOJeN8lUxxZcKgoZNqKIh2rX41tHpEq17i7BnUfcsGoKmtfx/z/JTn5jG1BlQ9FhQFxYWMnfu3Hbb7HY7Xm/Xr+h0dHR09qBpGmI4hE/o+MXZd4YEZE1gen19zOOeWVvF1gwjr8+2MqXWy81bS5A68DyJmsYvd5Qxt6qRrBtvQujnExH3pXbZUlbXOmhWYgt3WFHtYkLIS0o01G67Rst56Q2VkSjrjhrPTLUGMcax4rUox6v1fBSXwJZvvqVGm0ijFtukdw0RsZ9VtNQZmPwsjLu77CWglT2fuz+OzsCix3eL1NRUtmzZ0m7b+vXr9TLlOjo63UIQBBRRwqJ1fCeRBZHlpiQuqKzEFoOXOjsYZHp9PWvHmKhINPDSqTbmVDTw6uoCLi+sILs5iCsSJbM5xEW7Knl19UbOqfWTddudWIcO78vDO+DIDfUou3ayujb2UIfigIWKqJnJgfYfUHKjIcye3pXxVjWN/FFjcWgy09SamLaZp5RTbTCxzu4k5G/CW1XBbmVml9spmgG/lk6yydgrm3uDqmmsa2rm5cpani+v4ZXKOjb4A71+MNE5+AiaFtui7rt0IbLVORIt4QAAIABJREFU2MbVGVj0OIb64osvZuHChYwcOZJp06YBLTfEgoICHnvsMX75y1/2lY06OjpHCKpB4li5gXXGjrN4vG1OZ2JzIw9s3869Q4fSbGj/MpYVCvLY9q1szTGwJceAMaox/fswiqDhjMhcWFLF5bsqW/sr8fEknzOf+CnTkByd51/ujyg+HwB1ke6ISYG6sAGnsn+IhFVVmBGowz31F72yy2UwELQ7eDF9BFdXbKUJA2s7Ces5Xa7gNKWKe7OGt2YFqdpVgivleKKaFaMQ7HDbGm0igmDiuHh7r2zuCaqmsazey9tVdXgVhYCvnkgkgtlkxhrvxmOQODfFw4yEeATdgz4wiMFL3OMzqelRHYcbPRbUCxcuZOPGjcyePRuPpyW36GmnnUZNTQ1nnHEGd9xxR58ZqaOjc2QgShLTQrW8ZMki2EHoR0Aw8IBtJHcGtrC4YAPvJyfzYWIStSYTaBqDg0HOrKlmTl0t5Ukib02zM3JXlNlrQ7i9Ks1mM6qqYgtHEZJTcE6chHPWKRicrgEX4tGGn7JaSO1Wo+gYUQC5HYF3hq8Sg8WCY/zEXpk12GomQRL57tgTyWzM5pbPP2atlsAyMZmNQjwIAqKmcazawClqFSPUJh7JGMIPjp8fqoI+HwgiEVwYaV9Qy5qZUvVMpie4DnrOcFXT+GtJJd94fZQUbaGmohhZjra2G01mktJyqJNHUBgMcXV6si6qBwCtXuIDpHw7/AXoP40BSY8Ftclk4p133mHFihV88skn1NbW4na7mTVrFrNmzepLG3V0dI4UrFZC0ShXBYt50jq4TQ7qvakXTTxkG8Gj/o2cU13JZRXlhAUBATBpGo2SAUWCoE3ktjeC2EIajuMmY88bC5qKYDRiysjEnJF1cI/vAGJ0J6IiMNQRZL03Ng+7QVDJsYX42JjSZv3J/lou85aRdt2vEDp4AxAroiBwerKbhmCYr4YPojBJYtK3W7lr91YiCAQFCbumgACfORP5mzuHErOt3bE0TWhXbMiahY3Kb7EaUjg3ObbiMX3JixU1fNPoZf0PnxNs3j9fdjQSprx4G976GjhmMh6jkXOTO/bS6/QPBLkDJX0wBK/uvh5w9LpS4vTp05k+fXpf2KKjo3OEY8sdTH7xNo5vqIcgLLbmEGjHU52mhLgltB2vVaLBaGKUL8D/pQwmSY4y219HlqDhPGYCqXYHximpxJ0wBcl+8MMADiai1YqYkMBUf0PMgnq8y48gwlc2N2gaeeEmzvBVMTlQT+J584mbNLlPbJuR4OSj6npqZJndWcPZlTqOPy9byrBQMxZVpVmS2GR1EJDavyVZ4+PQNI1C5TxyeZc4oRhBgLDmolydSqU6kwSTg7tyc4g7yPmnG6MyH9V72brxu3bF9N40NzWwY2s+S8TxnOpxYZMG8BuRI4AO45gPpNjds0/9DcaAo1uCuqSkpFuDZ2d3L5G/jo7OkY1n5imM+/MP3HHUIG7dspvnmtbxudHD9wYXYUHCqUaZKtcyPurle1ccTw3L4pm1W/nOFs9V3ipSQs1YjjmWtCv+B4Mz9mqKhwvW3EGMqP+ekY5mtvg7f4CwSgqnp9YiChp/K9+ARVBwRWW2pRkRA6A2dy/NXWfYJJF7h2bzu23FBDQbJrOFaGo6a+piq2qYlJ0DmkaC7Vi+D45DQEVERcFAqhFOsxg5IysDu7HXPqJu81mDDzkcpLG+Kqb+9dVlyMOO4otGH6d4jrzf6ICim3mooUVrxxTOE0P6Tp2BRbeuPrm5ud2K+1K6kStWR0dHxzp6DFJSMqdXNXL5pFFMqvcxb3ctNzYVYlFV/JLEmsR4bswczvY4G/evL0S2WpgycgT2nFzip07HkHDkvkp3nTwD/7rvuXpIOc8VprOlqX1R7ZBkrhtWRsQNzSYBQZRZOsZKYZqRRofEDe83MmLjenqX36MtySYjfxiUwcKiUiLhEGlDh9IUg6C2OBwkpKYhiCK/ycpAAKoiURQNXAaJTJOBqqoqrIfI27uqvpGy0qKY+2uaRnl5Mavsdl1Q93N6kmlDYJ9Uk3s0k17Q5bCnW4L6rbfeav3s9/u54447GDJkCOeddx4pKSlUVlby5ptvUlhYyKOPPtrnxuro6BzeCIJA1q9uYeqD9xDdXsb/DstgddL+osOiKNy9uYTjAzK59/4RU1r6IbC2/2E7+hjEBCe7TEF+JZSxOWDliyoXhX4rsiaQaI5ygsfL8R4fFW4Di090cvuHdTw110lh2s/ZQTZmm8jd1tjn9o20W5nldvJJrYYQL5Jz9FiKN6zv0BtnttsZdtzxBPw+UpwuEo0GREEgaa+0eKp6aBP2Nikq4VBg/wZBwGAwoqoq6j5ZVMLBZryyXnym39PDn1aLaD5wHuYnnniCF154gQ0bNnDOOefw6quvtrYVFBRw9dVXs379enJzc3niiSeYMWNGa/sbb7zB7bffTkVFBSeccALPP/98mzTH99xzD0899RSRSIQLLriAJ598ErO5/cq1Om3plqCeN29e6+drrrmG2bNn8/zzz7fp85vf/IYrr7yS5cuXc/HFF/eNlTo6OkcM5qxscu5cyMy/PMKUrzfxQWoCnyc58Rsk4qIK06obmVvViMkRR/bd9+tiei8EUSTl3IvQFj/Ny5PiyaqNcsXOSsx7CdZtiSZezHOyLdXEbz6ppzDVSGFq21tBxHjg/GhXpSXxVb2PoqoyPMnp2CafRPWuIhrKy1HVlreaZpuNxOwckrJz8DXU4nK6OD3J3S8LthgEEPfKKhLvSiQ1MweXJw1BaInnliN+Kkp3U1NZTDQSRhAljP3wWHTa0t3S4z+zZzuBFlXet+c6PT2du+++m+XLl1Nb+/Nbnmg0yplnnsk111zDqlWrePvttznnnHPYvn07ycnJbN68mQULFrBkyRJOOukk7rzzTi688ELWrFkDwHPPPcd//vMf1qxZg9PpZN68edx77726gzRGehxw9vrrr/P666+323bRRRcxf/78/cS2jo6OTiyYcwYx9E9/w7/2Gy74+EPO/357a5s4eAhJV83HcezxCMZDV8CjvxJ/0jQiNVX84v23+eBoOw+c48GgChhUjSaLiN8iMrYkxK1L65CN8K9Z8ftNgIoLqBjdyQfEPlEQ+EVaIotVhc0/foPLnUzWqNFk540hGgkjCiJGi4VmXyMl2zdgsTkwJ6cx3R1/QOzpLZlmM4WuRBrqqhgxZgJxzkTiWU+S+C4m6tEw4DcPw5J7Mpm5wync+iMJCYnkWC2H2nSdruhKT+/zZmV/2azt8/92huzBg9W5554LQH5+fhtBvXLlSgKBAHfccQeiKDJ//nz++te/8vrrr3PjjTfy0ksvceqppzJnzhwAFi1aRFJSEhs3biQvL4/Fixdzyy23MHjwYADuu+8+LrnkEl1Qx0iPBbUkSaxbt47Zs2fv1/bDDz+0eWLX0dHR6S6iyUT85KnET56KJsuooSCixdrrNG5HAonnzseUksbpr73E3B9r2Zxuot5uwKSojKyIYI2orB1m4cOJNsKmttdqQdM4fkeUhFMmHTD75ridbGsOwtHHs23j95QWbSE+IRGj0YyqqYSa/YRDzWQNHkVq5iBuy0nH1U/P+2lJCWxqzsIeH4fTGmaYuAiz0LbypI0ykqRV1DIZYeQFgMApiQmHxmCdmOm5h7qTMfdd0YeTDwsKCjjqqKPa6K9x48ZRUFDQ2j5x4s955ePi4hgyZAgFBQXk5eVRUFDAuHHj2mxbU1NDVVUVKSltU2vq7E+Pr1CXXXYZ9957L8FgkLPPPpvk5GSqq6t56623eOSRR7j++uv70k4dHZ0jGMFgQHLEHWozBhTxk6cSd8IUfF+uQnr+aTZnavhsIp+Ns/LdUPN+QnoPI0qjOAMqcVOndbkPNRRCafYjGk2IDkfMhXEEQeDGrFQSjAY+kI5DCYcoKy0iHAogCCJpWYPxpGQSb5C4OSedUXZrdw79oDI+zo5JFDDaYKT4/zAI7WdHEQSNJL5EEFVKtPkkH4KMJDrd45G/ze20/Q83vN8n+3n472f0yTh+vx+Xq+2cE5fLRXFxcaftTU1N7bbv+dzU1KQL6hjo8V/0448/jsFg4LHHHmPRokWt6y0WCzfeeCOPPPJInxioo6Ojo9MzBFHEOXU6TRvWkbble/47NY4mW8ei1+1TuOSLAPHTZmKId7bbR1MUmvN/oGbpeyg7trWuV+Pi8cyYjXPazJgyrYiCwKVpSZyZlMCKBh+r7A58ioIkQJbFzKmJCYyPsyP181jjqKaBoJEuvNehmN4bD6upE2byaYOH+SkHvwiNTt+hKVq/ShftcDjwer1t1nm9XuLi4nrUvufznnadzumxoDYYDDz++OPcddddbNiwgYqKCtLS0jjqqKNISNBfZeno6Oj0F9KvvhH5Tw9wy7u7eHOSlU3ZJlTxZyUgKRpHF4U579sQrqGjSb7oinbHiTbUU/zQQqJ1Naywe1ieNpoayYRJUxkX8nL2R0tJee8tUq+6jvgpJ8dkm9Ng4OwkN2cnDcx0h197/UCEBPJj6i8I4NY+45O6RM5Pdvf7BwadjhE1rW3ERk/OZR+GfIwZM4ZHH30UVVVbwz7y8/O56KKLWtvz83/+nfr9fnbu3MmYMWPatE+ePLl126SkJN07HSO9fueUkJDA1KlT+8KWw5qKigo2bNiAqqoYDIa2eSoHAJqmtdo90Gzfwx67B6r9cHicB9DPxcFGMJnI+t09WP77IlesWknAHOLHLImgScAe1hhXomBWBVzTTyPx3AtBkvY7pmh9HYV33spOzcD9Wcfgk9pOCC0zWfkgLoVTm6q54Z9PoWlazKK6Nxzq81AcDGNnO6IQexq8eLawWxVpjMq4jQb97yFGDAc5jv7Oq9/psk9bCb3PcbcnsNv5bjraz7J1E9pdL8ty66KqKqFQCEmSmDZtGlarlccee4ybb76Zd999lw0bNrBkyRIALr30UiZOnMjy5cuZMmUK9913H0cffTR5eXkALFiwgEcffZS5c+fidDpZtGgRV155ZVdfgc5P9PjX+e9//7vLPpdffnlPhz/sePrpp7n//vu57LLLSEhIQB6AOUgTEhJacqoe4ryvvWWgFxw6XM4D6OfioCKKeC66AtdZ59P89Zd4tm9GDgYw2h3Yzh2D/fgTES0WFIB9rk+aolD84D1UqAJ3p48iKHZQ3lsQ+Cg+BQH45eJnMY3Mw+A68MVLDuV5CCsKghbqVmY0kSgAwWgUea/t9L+Hrsc/qPR6UuKBebB48MEHuf/++1v//frrr3PFFVfwwgsv8O6773L11Vdz//33k5uby5IlS0hObsnYM2rUKBYvXsy1115LZWUlkyZN4rXXXmsd5+qrr6a4uJiJEycSjUY5//zz24T06nSOoPXwUbKjLB57V1Ic6BeHvqSiooL169fz1Vdf8atf/YqkpKRDbVK3UFWVuro6PB7PgM3gomkaiqIgSVK3Kn72Jw6H8wD6uegvxHoevJ9+TNVLi3koZTjf2mIQNZrGP8s3MPL0M3CfdS5eWSbfH6BZVjGKAjkWM8Os5j4594f6PLxSVcequnUMEf4S8zbNWjZbtd/x7IhcHAZJ/3uIkZqaGv7+979z7bXXkp5+4PPPn3LUXd3fSGv7sfVs9uC0LtvwUPc30jlk9NhD3dDQ0O66ZcuW8cQTT/Dyyy/3yrDDjbS0NDRN4+uvv0aW5QF30RQEodXugWb7vgzkYziczgPo56K/0NUx1H3wNo0GI99ZY/Q2CwJvO5K5avkyXhx7PN/6g4iEEbVmEAxEiCfNJHFGoofpCfG9KthyqM/DxHgH79bmEsaDWaiLaZt6bRLDrRJx+2T66K+/JU3TCKstE/BMHdh4MM7DwX6z29u0eW2+hYEbzaMTIz0W1E7n/jPAnU4n1113HaFQiN///vcsXbq0V8bp6Ojo6BxawrtLUBsayHd4ULshlNZb4zHWF7OhKh+kH1GVXa2aQhTiqIyM4/nIRNY1+bkpKx2D2P+EZCwMtZrJMovUhKeSKbzVZX9Zs9LAJC5KTDwI1vWOslCEZfWNrGzwEtFazo9VgNkeF7PcTpJNh3lhpY5e4B8IcTwwf/46e3FAIvzz8vK4664evCrR0dHR0elXRKsqkUWRiNBB3HQHRISW1/5S81sI9n2LxzQhRL9AkzeRzyU8XSZyY1Zan9l8MBEEgfkpKfy5ZDp2rYgEoeNsH6pmpJjrSDGZOC7O0Sf7j6gqq71+1ni9+OQoJlFksNXOTLeTdLOpR2Mqmsbi8mqWNzQRCtZTXreNYNgLCNisCfhCI3i3No7zktycn+zul171vkBQtUPnWT48v9LDmj4X1IFAgGeffZaMjIy+HlpHR0dH5yCjqQqIAklKuFvbJcphNCBs7lgZCFodavA1vuAK5iaGGWQ199jO8nCEwlCEsKZhF0VGO6wHrbrisfEOLk1J5KWqqwhon5AkrMIk+FrbNU2giRFUcjZmKYM/5Gb32iOvaRrv1jbwVk0tihrFoq1D0hrRBCPFgVF8UJdOnt3IDZkZeLpRREbTNP6+u5KvGhvZXPw5/kBtm/ZAqIHahkKcjnSWaCcSUVUuSRtYc4JiJtrJPLADKXj18JABSY+vNkcdddR+T6WRSITS0lKCwWBMWUB0dHR0dLpGVjX8kTBq4Q4MzX4koxFjWgamlFQAlOZmmr5aRe1Xn6N4G0EUMbkSMDtdYDK39E9NI37y1JiKruyNwelCUhSOCXjxyGHqDLGJ3lOaatidKCEbOlceglqJQd3Nx3UOrstM7ZZtAN83NfOmN8Cu+gAoYVRVQZSMCKKB4+LtzEtyM9hq6fa43eX0pAQSTUZeqZzDxugsnGzFqNWgYiAojCKkuRhpM3NcfDxbAiHcEZndoTAf1TVQHZVRAZsgMNXtZI7bSVon3mVN03iuvIqVDY241Hewsw6Rn+KLNUD7hDDpFDXP484dERYNySUlxvCMLxqbWO31UVD4GcFwY4f9vP5ytheu5Ju6MYytr2aY24V2AEp1H1K0TrKV7HuovfHSD+B0iTo/02NBPWHChP0EtcViITMzk3PPPZdRo0b12jgdHR2dIxVN09jYHOTT4hKsX65iQv63OIIBmiUjRjSsShRp2EisHg++79bgMxp4N8lFWYoTSYM8XyOzdhUiI7DF5iBD/Y7kJa9hO+ZYUi6+HKMnthhey9DhEB9PYyjAGb4q/uXO7nKbBDnClOY6XjspNiGrRr7nC28m12SkxDxBUdM0Xqqs5cPaRqrri6is3UEg9HOVt3hHMr7k4Xzra+bGzFSmuA58tbfjnQ6Oix/CpuYga3wJeOUIIFAZjrK7OcxGb5CC0oaWEu1OC0QVGptqqSwvRNNUzBY79RmDWVrnZKrTwbUZKe16spfVe1nZ0Eiy+hRmStu1xUw5Seoz1LKAPxaJ/Hn4YAwxfLfv1dRTUb+jUzGdEohwekkdp5ZuwhldAcBuIOpKwDpnLs6p05EcfRPSckjp1gNCDDmoW7vqAvpwpMeC+oUXXuhDM3R0dHR09hBQFP5UXEZ9cTGXvvY8zVF4zZDMqrhEgkLLZTtHaeY3hYWk79jK48NzWJGc0GbS4LJUD08PzuSikkouKKvmwewhBCQDV27byoj77yT3jvswpnWeeiyiqnzja0Y5firxn3/Eud4KtpkdfG3v2MttV2QWVm3FZ7exZegxoGxG+CnvcoeodciaQFBVsUuxxWovqWngg9p6Nu38nKbm2v3aff5qNvmrSfYM4UmOwS6JHBNnj2ns3iAIAnkOG3kOG2u9TfylsBy5uonwm+uIrtwGoZbvQkiOw3RaHs4zxiCkDWbblrX4GmupqSzGEe9GGzMJn6zw+9z0Ng8ZiqbxVnUN8epHHYrpVltQ8KgvURa9h+98zUxydi5yi4Ihdkdkqut3dNhnWnkjt64vZZfVyrMZWXzjdBGUJJzRKDPq6zn3vSW4PniH7Fv/gGXwkG58c/2Q3ubTFmgR1nsEtK6jD2t6nCxyxowZbNmypd22bdu2MWPGjB4bpaOjo3OkElZVFhXupmz3Ti575WkKZBu3WsfwkSm1VUwDZKlB0tUgvzt6GJ+muNvNwNFskHhucAYv5KRxR0khlSYzt+UMY41opPhPD6EEAu3aEFJUXqyo4ZpNhfyjuJxnErOJGm2Ux5u4o3o7C+pLSJLbxlRLmsrk5jr+UlFARjTEM0NnI2vTUCw3ohomd6ElhJ/+G5t3uiEq80Z1HduK17Qrpvemum4n5dVbeba0EvUgegbzm5r5c2E54TVF+H/5MtGPNraKaQCtuonwv77B/6v/4lCsDBt+bGub31fPj+tWke9r4sO6tp7iH5qa8SsqDr6LyQ6RMHbte5bWdv49ARQFI2hykHDE3277lEovv/9xN89kZXHjqNEsS0zCazQSEUVqzGb+m5bGRaPz+Nhmo+TRRYRLd8dkY79F03q+qCooKshKi6db7cEYOgOKHgvqlStX4vP52m3z+Xx8/vnnPTZKR0dH50jlzep6dgV8TP70v5RrNv5qGYIs7HOp1jTOilTwVkYSBV14HQFeyUpht83M3LoqZFHkj5mD8AUCNH21/3XaLyvcvaOE90qrKN1eRCgcQU1J5V9nX44tYqDWZuSkSA3P7c5nUdVmfluzk9uqt7O4dB23Ve/EHY3wuHcYW1eVUvHIMhqWbEDhOFTj6R2Kak1KxSpqWGOcqPdZgw85GqTBWxZT//KabdTLKhv8wZj695aIqvLnonLkXXUEH/sY5I49nVpVE8E738WZkITL/XMMeSjYTHHxFt6rrm/zIPCjP4BV24xEKGZ7bNoPbA3KRLrwuEY1FU1rfyKeRVa4ZX0pizMyeSc5pcOQBlUQ+Et2Nl/b7ZQ+94+YbeyXqGrsi7LPskdEq1o7bTEuOgOKXpUz6ihVzurVq1tLXero6OjoxEZEVfm4roFAxdccv9vL68b0dj3Pw5RmBikB3os1u4Ig8G56Eqc21GJUVSKiyNsuD7WfLGXvYrmqpvFIURm76hqo312OZ1A2RslA47v5bPp3Pn9KOpktlhziwxpBk0SOFuDYaCMnBBuIk2W+jiRwt3cMO9WfRL6iEfxxNzXPfoHKcDTD8e2aZzBNZGaCK+b0a8vrGiit3hbbsQOyHKbRW8bKBm/XnfuAVQ0+IppG+NW1nYrpPagVXqIrt5GakttmfU1lCV5FId//85sEvywj0NQteySaAQh0IdLskoQotT/pdEZ5IxFRZElKSpf70wSBZ9Mz0HYVEtpV1C1b+xV7i+J9l56K5H3Fd2f70BlQdCuG+uGHH+bhhx8GWsT09OnT9ysxGg6HkWWZG264oe+s1NHR0TkC+NbXTFhVOGbrFmolCxuk+Hb7jVZ8bLfZqOhGmrnPE13cur2ErHCQQqudTxISuWLLj0QryjFm5wCQ7w+wMxiirrSCpOFD0CIyDW98j3VMJq4zx6KEorzflMdKl5G8HWtw+TT8X2ynPiLxXSSBIO3HP8uVPrxLN+I6/TgE+TsEfvaCatIQokIis9wxVmEEfIpKMNT+G9KOaAo2UhXuXuq/nvJWdT1aUwh5za6Yt4l+UIBr9oUYd5qJRlrslOUIIX8jOwMexv8U/20VJTS6l15QpSVjiGXfNx37cLTDhigacDpS8for27SdVtLAR55EojGWFS+zWFjvcuFY8QmpV17bLXv7DQfDS6yHdhw2dEtQn3jiidx6661omsaiRYu46KKLyMzMbNPHZDIxatQozjzzzD41VEdHR+dwpzgUJhSuJj1spUiIoHXgsbVqKk3G7hVa8Rta+tt+Egm1xhaRpfp/jpf9sLqBxrIWMS0ATV8X4p4/kXBFI9VvfUewsAr3rDGYE+3kjxhEc4FAoz82YRv8cTfO0/LQpOEIymYANDEHLGdzXpL7/7N33wFSlefix7/nnOl1Z3e2VxaWroJSRbqioKKJuZZri+0aW/JLNKaosZckxmtiYo1GDYnJNdZIFAsgKIKIIJ1ddmFZttfp9Zzz+2NhZYGtLAj4fv5idk55Z4bdec57nvd5yDL3seteH6uUSVLXd1UHUkLTaVE11F0tfZplVHe0ty03mawdATVAIpkgus9xBtssfNo2Al1XOl2YdCfCCDKNEuYeUmpcBoVJLgcB7/ADAurccIyXMvtWKWWtzcaY2po+7XNU0bRvLuA9TpvlHM/6FFBPnz6d6dOnA+1/mK699lrRwEUQBGGAJDQdVUtglK3odJ2eEJYUXN01nTgIZ7J9+7DcHlgb9gQK0p76xFFVY2M4QjwaR0uqEFdxTi0h8OUOWpdu2bOtguPEPGT1P6jm+US+WtHr8+txlejmWmyjBqHrQSTjOHRDCed6PXwvo2+1sT0GBZslBV+gvtf7uGxp3dZ2HijR/s5q7omfMrIKcaWMxWg0o+s6sizTnEiQ1HQMssRpbicv15oJMQoH63s8rI5MWJ7C+d60Xl1QnJeRyip/kCzvcOqavi48YNB1kl3sL+s6aYk4VlUjpCg0G40gSaiShJbsocLLUUxPJnveaCADXzFbfUzrd9m8u+++eyDHIQiC8K3nMCiYjU58Didj9B3tX7AH+cLeZHByZWgX2ZFYr9M+pje20mowsMvcXht6bNCPpigY0ttzYgOqCpKEw5uKFo0jJXSidW0dwTSAbWg2kpREUnciSTJqqG8pFGowji6NRLeO5mSnjXneVAotJt5r8fFJaxu+pIpBgiKrlTPTPAy3WQ4aBM5J89AQLaG2cVuvzms0WHA5s5jVh7SS/rLuSYmQC1JBlno1Sy1lOLHdPQ9d1/FmeIjFNhKN+gAZgyGHVb6RbAiG+GF+Nic57cxOTWFx87lYtAoMHLwix15t0pnIspVpvazDXWgx8+OCbB4DrCYnNU1biMWDtJkM5MRifLnPtimJBGc1NXJOYyOZ8XjHz6ssZj72pFIYiWBK73uznqNGfy6O+hJgiwD6uNLR0kXHAAAgAElEQVSngHr+/Pn87ne/o6SkhPnz53e7rSRJvPXWW4c0OEEQhG+TcU47/zKmsqakhLNXrmS4GmSr4cBAqFxxUGqwM7+mkWcG5x3kSPvRdebXNPFuajrJPQHfd1qbcEyYjGJvz81V9gQCBrMZkhoGr5Wmd9d1OozBZUNSm5FoD6TlPqZpyGYDI512fliQhdug8FpDCw/t2I2qxWgJbiOpBpGQqbDkstKXT5ZJ4ccFuRTud9Eww+PiH/UWvJ5CmlorezxvXuYIMowKI2yHv2OiQZbINxrY5TBjmDiI5GcVXW4rpdmx3TwVZfwgIEkw8A7JROfXk4hvJxL+jIh1HI9UnsytBTlckumlLBymKnIzadpfMHHgTL2GEZ80h6B0Gr8oyMXWy/re0N5K/a5BebxgMuL1FBMON7K2SmXujkre2VNwYLyvjTvLy2kxGXk9P50vPQ7GtwQ4t6aR/GiMS+pqAYhuWEfdc0+S9r2LMfaxS+c3TR+AHOp9Lwh1EUAf1/oUUAcCAVS1/bah3+8/IvlogiAI3xZFVjNFFgOb3S42FZXw3d01PKwMPWgu9b+N2fywppyVaW6+6mH28fLKOnKiMf5T0B4MjfO3Mdbfiuf0szq2cRkUzNB+W9+gkGgOEqtpPejxJHSI12EZlkm8srl3L06WcI7KZUKKgxSDwtPV9SxrbaOuZTmhyE727XrhD21BUWwE3RP4RXmS+4rzGWKzdhrr5dnpvKSPI5mM0xao7fK0ORnDyfIO5gf52UfsO+u8zDT+uLMG80WnkFy986CVPuQsF47fnY/ZFSUuJfH7XkdVu3ovE0Qin6HrcR7fNYnfDxvEnYMKeKLKwJrAj7FTiVVbhYIPHQNRaShhaTwW2cgdhXmMtFu7OG7XRtit/HZoERWRKMva3IRn2Rjyh4c5IRDAoOvcu307rxRk8tdBWQwORvjN+u1YNRWTCvUpMhU5RpIKeAIaI1Yso23lMrxzzsV70aV9Hss3ZgACan3fxi7Cca1PAfWSJUs6/r106dKBHosgCMK33iWZ6TwcTfDRtDO4bsGzXB2t5AVL4QFB9QpjGoPUEA9v2M7vSwr4KMPTMfu8lyuR5NLKOs6rbeTewhIaTWYm+1q5Y3cFqfO/i6V4MMk9eaIGSeL0VDdv1zaiazqJ5gNLs6mBCLpSgJ6UUfQvsU+YhX/x1l6VhrMMz0a2GpmW4uT9Fh/LWn1UNSwknjh4EKmqYRpalqJpU7irHJ4bMRiH4etZ1rlpKURVjX8yhTZ/DTWNZQRCjUD7rKDHlUt+xjDsNg8/KcjpV1DZXxNdDl4yKPgKU7HePufAWtRGBcdD5+By7SIqZxKJfNlNMP21aHQNdutIPmrxcWFmGj8tzKMyGuP9ZierfPmENQmDpJNvNjLX62Wiy4Gxl7W9u1JstVBstUB2OrUzZnPviuWomsbreem8XJxNQSjK79aWIss6dWkKiyZY2Zll6JT6YI9oTNocY9a7/0YNhci8+hip+tHHgLqnsFlMQR7f+p1Dfd9993HttdeSk3Ng69ra2lqee+45fvWrXx3S4ARBEL5tTnLauSYng+d1ePm7l3HZ6wsoDodYaMric4Ono8lLmhZD1UHXJX5ctov/qazl3QwP1RYziq4zyh9iRmMrPoOBx3OL8CQTPF2xlaKgn7QLLsJzzvkHnPuMNDcLm9vQNA3pIOXRQttqSTtzNLpSgpTcjGSegXvuaHz/7n5xnGwzkXbOiUz3uLDKMm80NNHk/7LLYHpfTW0rsFsLuW17JU8PL+703HcyUhlqNfNatcwWdw66roGmgmzAIEnM8LiZ500h5wgsRtyXUZb41ZB8frm9CsYVYn/yEhJvfkV8yTaIJDBOHYLitZBlWE6Z9j/Eopt7fexAeC2Lml18NyMVgyRRaDFzXW4m1+X2XB/6UGVddhXxyp0EKiv4a1F7bvTPtu5AUnR2ZRpYcIaDpOEgHTutMh+dYqUmTeGy9xdjGzUa58RTD/t4D9VApHx0Ot6AHk042vQ7oL733ns566yzDhpQ19TUcO+994qAWhAEoR/OSHWToig8ATx1+Y2Mfe9tbmio4HokWiQTBjQytRi7zQ4Wnjqb6nET+HlzNZeu/JREaxu6piLvCQbSEwl+unsHmtWKZ/ps3DNPx5TZHgztn9OZZTbx31lp/K22CVNWCkhgcNuwD89BcVjQNZ1YTRtS9mQMahmGxL+wj7sEJAn/ok3osQOrIhgynGRcNpnCNBdX5KTzVTBMW1IjEOptYxYdf2gLknQCr9U3c0FmWqdnR9itXOuyYk7zUhlPENM0bLLMUJsVq3JIvcu6lNR0PvcH+aCpjYZYHB3wmoyc7k1hktuBSZbJt5h5pKSA31Tspt5sQL5uCpbrp6L5IxhSjGQoywlTgJqsQdd738ExEa8gpM2gIZ444hcKksGAalBYlJ1G1KAw1B9mmD9KxASvzD54ML2vLUUmPjkxybT/+yuOCZOP/rRR0a1Q6IN+B9S6rnf5y1BbW0tKyuFfTS0IgnC8Gu928MKowfypysGyy67hk2CA7NWfYwsHUQ1GwsWDqS0ZxiibhfsKskkxngBnnNXpGHoyiRoMIikyst2BikRQU0moKrYuGnSc6/WwMxLnUwJkX3kapkwPiWgrCc0HKBiMdnSDCZXzUOJvY4j/HfvY72IfexahtVXEShvQkyqK04LtlELMRV5OtFr4cVEOZllmUyhCJFaHpvW+QkgwvAOPayyvNrQw15ty0AV2HqOBtCMQYK7yBXmmqo6IqtJSVkWk2YcOWD1OyoYW8ILBwNW5GUzzuMg1m3h8+CBKw1EWNrayLRQhnuYgAuRGV5KxIYdJNe8jhVsJ2SQ2FFjYmGdG3y9NQ5LMSLINoON963d5vkOUqKlmXVF7h86za5oIWiTWDTERM/UuOP5slJmp61uJlW/HMqTkcA710EmgqyKoFnqnTwH1K6+8wiuvvAK056jdeuutBwTO0WiUL774gilTpgzcKAVBEL6FDLLMjwqzuVZV+bg1wOfpXgJJFbMsM9Zh4/Y0d7e1lSWDAdntZlMown8qa1kXDHfkYjskOMvrYbrLhtfw9VeBJElM9ThZ4fOTdPloblxOPNG071Fx2keQ6hqHbrkGOfk5hvifQSnCMeZk7CePBdkAGqSYDPykMIdh++QvtyWSJNXez8gCaFoUAB2NZW0Bzkr7ZiZsXq1v5rWGFurXbqNlc0V7ve492oC6NVtJHVbIk+N1QprG3LT2durD7NaO92B3SyufPf0kJ5VGieo7iCSl9g7UCZ3xpVFCVjtLpkxl1ajhqGodimzDaCqCvV0OdRV0leponEEW85Gf5VXVjm6Jg0NhHFGdtUN7fyHT5lTYlWkgdd0XR31A/X78H9/0EIRjSJ8C6ng8TiDQvlBF13VCoRDKfjMFJpOJK664gttvv33gRikIgvAtZlcU5nlTmOftWyAZVFV+s6Oa0kiMQFUdjdsriYfCyLKMPTMN/4jBvG6zcm1uBrNS3QDsjMR4tLKGtsA62gJrD3JUnUBoM+FoJVmp8zAYT0cynY5MFKMkk8BEtklmntfLzBQXhv1mW2UJFKVv5etkuT1gkySF95qaj3hAXR6O8uTuanbHNGpWfEVbWdVBt9NVlebNFSTCEV6efgpFFjMj9rmYSPjaCN/5U0ZFQoRlmY/zXTRbjRg1nZNrgmQFozS1RJj/4Xuk+QJ8MP1MTHo1ql6PqtsBCZkIiqTyp2qZtcEgN+RmH/LCwz5xOMiKttectuyt+mXrW2pNm0NCDYYGfGiC8E3qU0B95ZVXcuWVVwIwc+ZMnnrqKYYPH35YBiYIgiD0X1TVuGd7FTub2yhbvJJEuPOscNQXoLl0J6mDC3huwokAzEp182pDE+Ho7i6C6a+paoiapjfJy7qIQrODs73ZGGWZTJORIdauZ06HWC1YzVnIkglNjx90m/3ZrUUkk0EMBgctiSN7C35DMMxj2ytIaashErV1GUzvy7+zlsCgOt522BgxqL2bsKaq7LzjpySiIZ45MYsleW7i++R4LxieweC2CNeur8PRFGXK6k9p8aTw+eixNDRXEgq316e2WFxkeQtRlCSrfK0kdZ3/l5+DfIRmqtMmTmH+Jx/xZq6XNqMRiGNM9m25nSnxdYdOQThe9HvFxpIlS0QwLQiCcJT6Z30zu3wBtn3w6QHB9L5aynexa9VXPFfdwPZwhC8DYVoCPbe0BtD1BMHgFpK6ygyPi9NSnJR00d1wr6l7amY77b293S/htA8nlmhEVSNHtPZYfTzBk5u3ctlrT1GXUkDj1p6byOzVuKmCtcEwTfH21ttNf3uJRDjIL6YUsqjQ0ymY3qs8xcpdpxWxLdNGUJWYuvRD1m54h10162luq6K5rYrquk18ufFddlStI6krrPYF+czXfbfEgeSeeTr5viAntQX5MDOVhAwlu3vRonsPQ1KnuE7FXDjoMI5SEI68fi9KBNA0jcWLF1NaWko0Gu30nCRJ/PjHPz6kwQmCIAh9F9U0PmrxsXvdFtRYz7PArRVV5Iwcwv/Vt4AWIRav6/W5AuFS6lxjqO1l1QmrolBksaLrJxOOVpNItnW7fap7HLJsxGhIIZ5oIcvSi86QA2RRTR2XvvZnynO8qOgEqxt6vW+4oQUpkWRbOEqaQaH5kyW8PDyDbR5bt/slZYnfTMjj5fdKscdjjGv0sSrd1WkbHZ3Glp3EExGGFZ/GvxoamdLL1uKHyuhNxzFjNves/IRbRxehAaduivL5CFOv2m6fWB7HqBhxjJ90+AcrCEdQvwPquro6pk+fTllZGZIkdZRf2ndmQgTUgiAIR95KX5BEIolv19cdBG1aEqeWJCHJtMlGtP2Cn9ot5ZhdDpJq32Y7924fSKpg7mHjPW7Jz+QnpTvJyTibhualRGLVB2wjSyY87lNw2kvw+deR4joZk2Lh9NTet6+Oaxqr/CE+am6lKZFAAjJNJs5I83CKy46hmwAwqmmEln6ILdjKR+MHoyUSfS4krCeSRDSN0No1kEjyQUHvcr/DRoXF+W6mVPg49SAB9V6+QD1NLTvRPUXsjsbJs3S+oIlrGr6kiga4FIWoptGYSKDq4DEoZPWzKkrWZVeR9LXx+PoNfOVyMK41yKTNMVaO6j433hHWOPOLGJ4Z85BNR7bknyAcbv0OqH/yk5/g9XpZvHgx+fn5rFq1iszMTBYsWMDLL7/MwoULB3KcgiAIQi9VRmMEGpqR1SQTom2cHanjxOjXnQ/bFAPvW9N5z5ZJk6E9Cg7UNZKkfdlbX+zdvrvgdH95FjPzvB7ebW4ly3sGiaSfQKiMpBpEkhSs5izstmJUNUKrbzUe1zhCkR24bMXM9Bw8uNzfslY/L9Q0EFVVGluqSKhxJMBisrExlINDkbkhL5tTXPaD7r8tEOLkdStZNcpE3JhANvY951cyGrDIMqG1a/giw07QdGC5v64syU/h7F1tuKOJbrerayonPa2YTcFwR0BdGY2xqKmNZa3+9lbyALqOrulIitzeCluSyDcZOCc9lVPdzj4tbJQMBvJuuRXHe+9gee8ddODcTyPIWntZvP3L/gGk+VSuei+EJ7OQtO/8V6/PJQjHin4H1MuWLeMPf/gD2dnZQHvVj4KCAn75y1+i6zo333wz77777oANVBAEQTi4aOUOIlu3ENm+lWRtHaOQcCV0sptrcepJVg8289hQD212GYOqM7QmwWmbGvluYy1PuQbxgT2jo96uYvAgSUZ0vftAbi+zORMZnYw+LjL7fk4GdfEEawMhZMmIyzEcSZLRdZVEwkeb/0tMxjRS3RMJhstx2or5r4w0XIaeg9J3m9t4qaaRhuadmE020r1F6LqGroMsy4TCbbTGw/xW07k5L4vTDpIuES8vI8XvZ80IO6i1SGYZR25Gr9M+rBkedKOBYTYL8WiEFkvf3h+fuf11qj0EuuFIG/FEhKpYHE3X+XtdE+80+0jubqFldTmxmlbQdYypDhxjC7ENzcHnq2dX9WZqvAVURQexsNHCHcV5uA29DwkkWcYzbz4pZ55NaN2XNL/xKmev3MX0r6J8OtrCjhwDSRlSghoTtsQYtjuJedRo8m66VcxOC8elfgfUPp+P9PR0ZFnG5XLR0PD1H5nJkyfzyCOPDMgABUEQhAMlmhpp/NuL+L5ai3FPk48EEgZ0XMAIGarSDDx2RhohS+dZ589cBj4bZmFiWZQbPt2BLsGnqe2LBK2KjMM2hEBoS6/G4XGMZoLLjrMXge7+fl6Uy9/rGnmrUULXVSRJQtNiWMyZWC25RGO1RKPVuOxDGO+yk2E0sMYfothqxmM8+NfX5lCEl2oa8QebSfPk01xXzcatHxMO+AAwWWyk5xaQkVNINBbmj7vrKLCYKLB0zlcxtbYSsBkIWWUkIujJraSNLOx1QJ0+opiT7FbSTUbqrTZs+9Ss7g3Lnguc7W5rD1uCqiaQJXi5tolF9S3U/WsV0cqmztsEY0R3NWNI2UrGRZMoyj+BLaWfUl2zjeiI07i3HB4cUtDn7pKSouA4ZTy2sadQU74d9ycfM+eLFSif7ymxq8jYx03Ac8VcLEOGHv3dEQWhn/odUA8aNIja2vb8vFGjRvHXv/6Vc845B4A33niD1D7kuQmCIAi9o+s6La//Hy3/foNqo4U3vQXsMLcvdCuKhzm7tZ7CeIQGl4Enz0ohbuwiQJIkVg21Iulw44od1I6fRIkicbJB4l15CFv0ChJS990MzaYszJY8zkrz9Pv1/HdWOuNcDl6vb2ZdKIIiGUFPIKFiteTiUiCo6nzeFmR1sw9kGWSZU5x2zkn3MNTaORB+s76JWDyM2Whj0+fLiIY754THo2Gqy7dSX1lOyZiJGBUjbze2cnN+VqftvCaF2n0eS8kvsOdcjntwHr7y3d2+JmdBFs6ibOZntH8PWgYPZvznyzGoGsleBqwT64LEZYl3ctJ63NagmFBon5mv/ednxHa3dLltsi1M/d9XkP39aWRnDaGmtowNm5djPPF0/t3UyoWZPZ+vK7LdQfqV15B51XXoySR6Molk/gaazwjCN6DfAfXZZ5/N+++/z4UXXsidd97JeeedR0ZGBkajkbq6On79618P5DgFQRAEoPGfC2h6/10eySnhM4enU2WFzTYnyxyp/L1iLe+Ms3cdTO9j5VALMzZEuGXtYjKWvIohmeQEIK4ofFbo5IMSGztTD1xtaDFlk+2dw9y0FIbbe55F7c5Qm5WfD8qjJZFsb02uauyOxfmguY2GxlZqtpfTVlffnvsLOLxp+IuL+SKQySWZaYzf+97EE6wPRzEaLGxc/fEBwfS+kskEpetWMmrCdD71BbgqJx37Po3KUtMzCIaT2CIaYauMpNVD7ANyTzsDg9VMy5ad6GrnWWdJkfGUFJA9YTSXZnsZ5Wi/0HFOOg3rK39lSm2Aj/PcPb4fiqZzTkUL2+0WAubuU0UctlQMBjOftPiJltV1G0zvpQai+FeVkzWpmJraMpJqgsrqrbxntvLd9NQDmvH0h2QwIPUhhUQQjnX9/t/+8MMPd/x77ty5rFixgjfeeINIJMLYsWMP6KAoCIIgHJrQ+nW0LnqXu/KGst528MBsdqAZv1Vmc14v81QliU9GWjh3dQP/l53OSH+Y7Egck6YxZmeQ6RVtrBiUxrOTvOiygtmUgcc5GqMpi3lpbi7N8g7Y60s1Gpia4mR9MMxfahqo2rSZhvKKA7YLNjVT1tSMOyuLVyaMI243cQGwNRxFU1Wa6qqJhnquVqImk9RVllMwdBTbQhFOdjk6nrMMHY6W4mbstgifjmm/oJCSXwFxMseeTsZJQ2gtqyLa4kfXwZLiJLUkD5MkcVVuOrP36eYoWyx4Zszm2uUfst5rp9XS/VfvZVsbsCdVHjixqMfXkOkdQri1DTwptH1x4HvVleCGKlKmD8ftzsDna6CxqYpw4YmsDYYYv8/7IAhC7/S7scv+xo0bx4MPPshjjz2GzWbj8ssvH6hDC4IgCEDTooUsdaZ2GUwDFMbClGcbD1ppoStl2SYsqs4FuxtpCVr4l5bHXynkXbKol0xM3NHMw++3UpB5EdlpszkjYwgPD87j8uz0Ae/Qp+k6T1fVUV9RcdBgel++ujoq163njVCckKrSGE8gKwYaqnf2+nxNdVWgw+bQfr0UZJms0+dx6iYNS+zrenlScgtS5Elk9X08Q0xkTywmZ1Ix3hILc1e+z28bKjoF03t5L7iY9OwCHltRSaE/esDzAOakxjUb67hgezN/OnUSjdbuL4pS3XmkefJprWxPQYlWNff6dWuROPEmPzZre9UUTUuSiIWoi/duMaogCJ2J+zGCIAjHgERjA/FNG3i7YFS32xl1jWQfbxDu3f4Xymiq5c6NR97Ucxint3JTczn3//sVcn9+F9bDeAdyQzBCS1KlrnR7r7ZvrqqiYORwlrUFiWkauq53LEDsDU1ViUZChLQDg2D3zDNI+XQpl7/XxF/PMhM1t188SKiQ3IzCZgAsMZ3L3osxSPaSec0NBz2PbDJR+NM7MTzzBE8uXcNGr4NF+S6aLEZMmsbYxhBzKtvQNInfDZqCb+KZ5DVuo7ZhG6raOciVZYWMtMEUZJ9AzVebifqDoOl9r5OtakjS1/Nquq6h9fEYgiC0EwG1IAjCMSBWuZOI0USp5eB1k/fyK0ZyA1qfju0JaWhAg3RgYw5dklgtpXKPZOb+ss3EP16MddYZfTp+X3zU0oavtpZkvOcOj+0D1Kmt2MEHdivfzfR25Fn3ha7rpB4k31e2Wim47U549AF++Fojn4ySWTvMRMTSHlhboxpjtyU4bZOG25lOwW13Ilu7zieXLRbyf/RTYrsqcXy0iOLVKzFHIiQUmTpvBgtPP5816YU0btqFtmgNGdNGk+0tobmtilCkFV3XsVrceD0F6KrOri++orVyNxa3C0mRUexm1FD3C0n3ZXBaSTbufZ8lTGYb7n5UaxEEQQTUgiAIxwQ9HiMuKz22d/7Ukcr5VXV4giqtjt4FR5O2RflScZOQus4C3CnZeV3O4cK33sA1YzaSPGAZg53UReMEW7tvR76/iN9PS1Kl2GpBkmVMFhvxaLhX+0qShMViI7OLOtoGTypFdz6A76MPcC5+lzM/9xNytH912oNJZLeLtDlzcc8+A9nafVvxvcwFhWRd9T9kXfU//GZnNWsCAUAikWhAUSxkzjgJCVBjCXQN0jyFpDhz0BJJYsEQ1Ws20ra7Fn1PucSoz088GMZxQj6+lb2b2bcUelHsFlpL22uZeDxZKIqRcV00uhEEoXsioBYEQTgGyDY79mQcg66R7Cbw3Wx1UGmxMnVzhLcn9Ly4zBVWGbMjym/lwh63XSyn81/+dUQ2b8Q2+sQ+jb+39L7mLbTvBECu2UiqIpGRW8Du8q292jXFm4XJaOg2kJStNjznnEfKvHOJbN1MsqU9V9mQmoZ1+MhDuri4vSiXJS1t/K2uiSBZJJJhkGJoUY3ajVvbU1J8AeKh7i8QIv4ArnHF+L+oQE/2fIfCNbGYluZqEsn2Ge3CnGFMcTtxiIICgtAvfQqonU5nr+pJJpPJfg9IEARBOJB12AgURWFyoJXlrm5qBUsSL6fmceemMqq8BtYWH5jG0XHMmMZ1i/yUyw7WSz2Xc/NJJsoVF97SrYctoM4wm7C7e9defC+Ly4lbUZAkiQsyvTTF4tRVlpNM9rDATpLIKypheooLWy8CSUmWsY0c3aex9cYMj5tTHTa2xBKsCYSoi8XZYIgSC4aItPYuH9yVloLNZCbrO+OpfX01qF0H1e7ThmIu8FK2eSkAgweNJcWZyncz+l+DWhC+7foUUN96662iQLsgCMI3QLZacU+ZxgWff85yZ2q3qR8rnak8myjg+qW7KGxMsGykjRbn1wGjouqcWBnj3C+ChMImfisPRe/l3/aArqBFI4f8eroyKzWFL3NyUNZvRE30ruJEdvEgTt9TWWNqipN3G63Exk5m89oVqF1N8EgSxSNOItWdwvkZ33wjMlmSOMlhY4yzfab8/vIqIieNYtvHn/WYF+4dMgiD2cQdg3L5tSShXH4azcu2Eqno3NXRlOnGNXkItpIstpWtxGS2UVI8Fo8zjTsH5ZHVQ81rQRC61qeA+p577jlMwxAEQRB64jlzHiWfLOOy5t0sSMvrNqi26hoqEkNKdWZsamZHhoFmpwGzJjGkPok5kkDS4UGlhKDU+0DKJWvIlkNr5NKdsU4bLoNCxuBiardu63F7T24uBrOZ6SlOAEyyzJ3FedyLjmnSTKp2lNFUV4W2pwmLJEmkeLPIH1SCx5XCXcV5ZHSRP/1Nuj4/ix3RGINPHUfFZ2s68qX3lzaogLwxo7ghL4shdiuPDCtkgdPGqkw3eihGuLoFTdMxep2Y0l2o8RjJeIjhQ8ajGIxMcTu5ICOVLHMv65Z/C91zzz3ce++9HY9TU1MZMWIEv/zlL5k3b16nbUOhEL///e959dVXKSsrI5lMUlBQwKxZs7jppps44YQTOraVJInf/va33HbbbQecR5IknE4nBQUFTJ8+nZtuuokRI0YcgVcr9NdRkUP9xz/+kS+++IJIJILT6WTOnDlceOGFRCIR7r33Xqqqqkgmk2RlZXHJJZcwadIkAOrr67nuuuuwWL6+pTljxgxuvPHGjsfvvPMO//rXvwiHw4wdO5ZbbrkFh6M9rzCRSPDcc8+xfPlyZFlmzpw5XHHFFR2z8I2NjTzxxBNs2bIFt9vNFVdcwbRp0zqOvXHjRp5++mnq6uooKCjglltuYdCgQUfiLRME4VvIlJVD7i0/5pLfP0p6Is4rabnUmTqndGTGo1zYUssZvkbetmZxYtyHCpToqZyUMxLZbME0PY9I5U4aly5mrO6jmt4tpvPocQarPqwjui/ddyhkSeK6vCweVTXikQjNlbu63NaZ7qX45DHMs5lw7VOdIsVo4MEhhfy7qZVFFhs37tAAACAASURBVCuRoaNIRMLouo7RYsVgMDAtxcX5GalHZTANkGEycv/gAu6XJJzz51C/fSctlbtJRKLIBgVXVgY5wwZjdDr4QV4mp+25oEgzGvhRYTb+pMonbQHqCzJR0XEpCg5FJq7rqDp4DAoTXA4coqpHr1itVhYvXgxATU0NDz30EOeeey7Lly/n1FNPBaCpqYlZs2ZRWVnJLbfcwtSpUzGZTGzatIk///nPvPXWW9TW1nZ3mk7nCQQCbNiwgWeffZbnnnuO559/nssuu+zwvlCh346KgHr+/Plcd911mM1mGhsbueeee8jJyWHSpEnceOON5ObmoigKW7du5e677+bJJ58kLe3rXK8FCxZgMh14db127VpeeeUV7rvvPrKzs3niiSd48sknuf322wH45z//SXl5OU899RSJRIJf/epXpKend1xxPvrooxQVFXHHHXdQWlrKAw88QGFhIYWFhfj9fh588EGuu+46pk6dysKFC3nggQd4+umnMRqPzj/QgiAc++wnjiX/57/izJee54wdX/GVzUWZxY4ODImGGBv2E5IUEkicH6lFcXvIuvIG7GPHdUrZszU14l++lLPUOhbqWb1K+ZitNSB7M7EOH3kYXyGMc9m5IS+TpzmRtOxsasvLCTQ2dTxvdbvJKh6EJz+P+V4P07QDS8XZFJmLMtO4ID2VtcEQDfEEqg4pBoVxLnuvcqa/abkWE48PG8QnvgDvWC3UjSjpeM4CzPGmcHqq+6AXBS6DwjzvgbW1hf6RZbljMg9g4sSJ5Ofn89JLL3UE1DfccAMVFRWsWrWKUaO+vuicOXMmN954I88//3yfz3PGGWdw4403cvbZZ3PNNddw6qmnUlxcPICvTBgoR0VAXVBQ0OmxJEnU1NRgMBg6ntP35JAlk0kaGho6BdRdWbx4MbNnz2bw4MEAXH755dx0002EQiHsdjsffvghN910Eykp7X90zj//fBYtWsS8efOoqamhtLSUu+66C7PZzAknnMCECRNYvHgxV111FZ999hnZ2dnMmjULgPPOO4+3336bdevWMX78+AF7bwRBEPZnLRnG4Ad+Q7SiHNeyJYzdXkqyuQk5kUCyWHA7XThOGY/nrHMxpHwdVGnxOMFVKwhuWEc8GMJUOIjU8jKuVnfyvFLUbQpJiRbgO9SRce61R2QtzXSPizyzibdcdlZnpKOrKnoigaQoYDIx0mrm3IxUTrJbqaur6/I4Blk6pltpWxSZ01PdzPa4aEmqhFQVkySTZjRg7EM3TGFg5ebmkp6ezq5d7XdQKisree2117jttts6BdN7ybLMdddd169zWSwWnnjiCUaNGsWf//xnHnrooUMau3B4HBUBNcBLL73EO++8QywWIyMjg5kzZ3Y89/Of/5zS0lKSySRjxoxh6NChnfa9/vrr0XWdUaNG8f3vf5/09HSg/T/4ySef3LFdTk4OBoOB3bt3k5ubS0tLS6cUjeLi4k6/HOnp6R3pIQCDBg1i/fr1AOzatavTvpIkUVRUxK5du0RALQjCEWEpHoyleDCZPWynaxot/36DpvfeIZZIstyeQpvBgFXTmKIYma02MDLp5xFlGI1y5xQSRdeYrLdwvV6JZ8ZsnFNnDPjriGoatbEEcU3DrijkmI3ooRD5oSA/9NgJZHnZEo0RVjUssswQq7kj51frIrf4eCNJEmlGA2nGo+Zr+1stGAx2iiGWLVuGruvMmTPnsJxv5MiR5Obm8tlnnx2W4wuH7qj5zbzyyiu54oor2L59OytXrsRu/7om6COPPEIikWDNmjXU1tai7LlV53K5+N3vfkdxcTGhUIgXX3yRBx54gMceewxFUYhGo50CYgC73U4kEiESiXQ83ve5eDyOqqrd7gsQiUS6fX6v2trajpypxsZGQqEQcOx9Cewd77E27n3puo6maWiadsxWqzkePgcQn8WRpGsaNU//gbZ1a3kyPZ+PXWnE96mb/HRmIeOCbdxUt5PHkutZp6awQXaTlCQy9Binyy3YJZXUc7+D59zz0XW9447hoaqOxXm/xcfHbT7iuozb18qc5e8zonwTpsSe91cC3WBk8JRpeM79DgZXe0WO/d//o/1z6I74fTg27C0JXFNTw+23347T6eRHP/pRx88A8vPzO+2z93Pdy3CQjpy9lZ+f3+3dGOGbddQE1NB+BV5SUsKaNWt45ZVXuOaaazqeMxqNTJo0iTvvvJOcnBwmTpyI1WqlpKQ9p8zlcnHDDTdw0UUXUVtbS15eHhaLpSOA3SscDmO1WrHuaQ+79zG0r841mUwoitLtvtC+cCAc7lxoPxQKdTy/1zPPPNNpdfDFF18McMz+UjQ0NPS8kXDYic/h6HG0fxbRRQsJrlvL/ysYzi7zgYsPNUnic6eHrVYHv6vczCACDNYCOJIqcooH29S5GMaOI26xUl9fP2Dj+iya5F/hGA4qyWIJkz/bxuhPFXxuiRVToD4TdBlSWmHU+gTK0o9o+/gjLOf/F8bxkw843tH+OXxbHK+fQygU6rQ+SlEU3nrrLYYNG9Zpu/0viObPn8/ChQs7Hq9evZpx48b1awy6rh+zF1zfBkdVQL2XpmldroRVVbXHYHTv7ElhYSE7duxgxowZQPsVZCKRIC8vD7vdTmpqKhUVFR352Dt27OjI2S4sLKSxsZFgMNgxE11RUUFhYXs3sYKCAhYtWtTpnDt37mTu3LmdxnL99dczf/58oH2G+sMPPwQgKyur1+/H0UDTNBoaGsjIyEA+TC2HDzdd10kmkxgMhmP2j9Lx8DmA+CyOFC0SpmLFMn6fUXjQYHpffoORB/JKeKZiAz+YXMKgQJSfbtqNd/hIrEUDW71oWVuAf7U0kCf9jVTpc0Z8YmLESguLzoKyoXTK5W7MgLJhkFGnc/bbwJuv4na5cU1vX79yLHwOPRG/D73zTU5EWa1Wli1bhqZplJWV8fOf/5wrrriCjRs3kp2dTU5ODgC7d+/ulJb6+OOPc88997BmzRp+8IMfHNIY9j+2cHT5xgPqYDDI6tWrmThxIhaLha1bt/Luu+9y0UUXUVZWRiQS6ai9uGTJErZt28a1114LwLZt27DZbOTm5hIOh3nxxRc7/ceeNWsWjz76KNOmTSMnJ4e//e1vTJ48uSPNY/bs2fzzn/9k6NChxONx3nzzTc455xygPd96yJAhLFiwgKuuuoqysjI+//xzfvOb3wAwefJkXnzxRZYsWcJpp53Gf/7zHwDGjBnT6fVlZ2eTnZ0NtAf0e/OfjtU//LIsH7Nj13W9Y/zH6pfWXsfy5wDiszhS/J99SlCS+cTl6dX2lWYba+0uztnVzB9G5XFya4i5C9+kaNQJPe/cS0FV5fnaenKk10iVPsdTKzNqhZmF58KO4q7/LzRkSbz5PZ3v/QMaX34ex0ljMaR+vTj9aP4ceiJ+H45+six3zCxPmDCBYcOGMXHiRO677z6eeuoppk2bhiRJvP/++x3FCgCGDBkCtMc6h2LTpk1UV1fz/e9//5COIxw+33hADfDhhx/y7LPPomkaqampnH/++Zx99tls27aNF154gdraWmRZJjc3l5/97GcdVTvq6upYsGABbW1tWK1WRo4cyV133dWRYz127FguueQS7r//fsLhMGPGjOGHP/xhx3kvvvhi/H4/P/jBDzrqUO87w/zTn/6UP/zhD1x66aWkpKRw4403dsxQu1wufvnLX/LMM8/wpz/9iYKCAu68805RMk8QhKNG25er+cDhQZV6H+Asdnm5orEKgDfyUzlj5SbidbWYsrIHZEzLWgMohEjjUwBKvjCxq0DqNpjeqzVV4quTdcasgbalH+H97oUDMiZB6Ktx48ZxySWX8Je//IW7776bwsJCLrjgAv70pz9x5ZVXDmgTlmg0yi233ILZbO6YUBSOPt94QO1wOHjwwQcP+tzw4cN5/PHHu9x3+vTpTJ8+vdvjn3POOR2zzvszGo3cdNNN3HTTTQd9Pj09nfvvv7/LY59wwgn88Y9/7Pb8giAI35RkMEiroW8X+S0GI85ke1fB7S4bdS473g3rBiygfr+liRQ+RpI0jBHI22Zk4cH/RB/UptEw/nOdlg/eJe387w3ImAShP+666y7+8Y9/8Pjjj/PII4/w1FNPMWvWLCZPnszNN9/M1KlTsVgsVFdX89JLLyHLMjZb96lXmqaxcuVKoH1We29jl4qKCl588UWKioqOwCsT+uMbD6gFQRCEw0M2mzGH+3ar2aJpRPepb9xqMqDttwC7v3RdpyGuUyTtAMDVrKBoErsKe3+MkEOiIRWymiOowQCywzkgYxOEvho2bBgXX3wxTz31FL/4xS/wer2sWLGio/X4//7v/6KqKgUFBcycOZN169YxcmT3TZEikQiTJ7cvunU4HBQVFTF79mzeeOMNhg8ffiReltBPIqAWBEE4TjmLhzD546X8LT2v1/ucEmqj3PV1tSKrqiEdpBNtf+iABki0lxFTkqDKOnofc26Te7659ERiQMYlCN255557uOeeew763IIFCzo9djgc3HHHHdxxxx09Hnf/8pPdnUc4+h1/KwcEQRAEANwzT2dINMSQSKjnjQG7mmSWv5l/F7Qv9kuNJijwBTEXDUyrY1mScCo6Mdqbb8UtOoomYYn0oa61ruPY83IU+7HbAVEQhOOLCKgFQRCOU6asbJTiIdxctwNjTw03dJ3r6itpMyqs9LoAmFvdguTNwDq8+9vUfTE1xYOPaQD4MjQiNp1hW3u/f3YtuII6ypASZIul5x0EQRCOABFQC4IgHMfyf3grg5NxHtq1FXfy4CkSZk3lR3U7mB5o4f6xhWiyREEwykVVLWScdfaAlnIb73IQ0PMI6sVIKqDBSWtBVns3S33iWtBkSJ933oCNSRAE4VCJHGpBEITjmCHFQ/HdD8C9d/K3srUsc6WyxO2lTTFg01QmBVo5w99EVJG4bXwxZS4bo1tD3LehipSTTsY14/QBGceOSJTXGppYE4igEGenfi1ztv4OLZZEisvM+Ehl8Rl6p6Yu+xu9XmdIOSgZWdhPGjsg4xKErqxZs+aInOeUU045IucRDi8RUAuCIBznzPmFlPzvn6h+/DdMLd/OdH8zCu2LBGstJt4uSGVtqpPBgSg/Ka1ncGsA+4zZZF1+NdIANOlY7Q/y+K5aLPpW0rXlmKikQb6egi/S+EiSWCGncde2zZwd1lh1qk5TRueg2uHXGfslnPhV+23VnP+5CWlPvwFBEISjgQioBUEQvgUMTheFdz1AorGBtsUf4Nu0Hr21FW8swiU7m7hkRyOaw0HqlGm4Z54xYHWnt4UiPL6rFqf2Hi59GXFyaJYuxuJ3kd9Yx/8aTqBasnGnPJqrd+/gklcC1KRDY46OJoO7WaJoF+xWLDysFHKNXEPatq1YB5cMyPi+jbRImKTfjyTLKO4U5AGq4nK8OpztvktLSw/bsYUjSwTUgiAI3yLG9AzSL7qUdC5F13WSySSKoiDBgMxG729BXT0WfR1GvZ4abiSp5BMKtJFRWwlAE2YAaiQrD0gjyZYizGhuJKslioxOmW7iL4qXUskBkkQDTQwP+gd8nMc7XdOIbN5A8/vvEV2/Don2nHXNYMR16lQ8p5+JuaAPBcEFQehEBNSCIAjfcpIkDejCw72qojHKIkmcuo8G+Qrqq3dQv/tDopEQhZEIAAZ0YvvsUytZeUUp6PKYRnSkPnZ/PBgtHieydTPxxgbU5iZkhxNTRiaWISUYUjyHfPwjTVdVQl+tpWXZYmJNDQCY09JJnToT64hRVP/p90S3bOTLSApL/cXUJyzIks4gU5jZi9dQsmwx7rPOwXvhfx+WCytBON6JgFoQBEE4LD71BTHRgl+axvZNa2hprOl4rt5kIirJjND9fCGl9up4Zl2lWA9gysnt95giZaU0/u1FQjt2YJTaZ2kTmoRR1onrYJAlrGPH4Z17DtaSYf0+z5EUWruG6hefRQv4qbGaCBkUYopEIupnzJPrAAV/0sBjdcNoVM2d9m2NmPgyksIwc4BbFi1CV1UyLr3ym3khgnAMEwG1IAiCcFi0xBPEVCs1Vds7BdMAUUVhcWoqc1rr+YLeBdSn6s0YTSbsJ4/v81h0Xaf26ScIrVxBQFXYHnZQFbFQEbGSbY4zM7WFDFMcTdXZ+dU6Il+uJuO/ryBlzrw+n+tI8i9fSt3zTxNTZJKyzE6LlYgikxpPMrbVT9CgoMR0fl1XTJvada70tpiTx+sKue2D93CcPA7biFFH8FUc25K1NYSXLyG+dTN6LIpktmAaPhLb1JkYsnO+6eEJR4gIqAVBEITDwq9qIJupr6446PNvZ2TyZPMmxkhtrJNTuj2WU09woVRP6szT+7yILtnWStVD9xCrryemKzRpZjyWJCMczSQ1iU/bUvjtjiJK7GGuzq3Gm0jwhd3FuFcWIFttuKbO6NP5jpRw6Taqn38an9HAiwU5LE5PI658na7hjcZ4du0W3vNndhtM77U97mB9LAX7B4tEQN0LWiiI74VniJduBUUBVd3zjJ9ISwuR5UsxDR2O++rrkUVXz+OeSJQSBEEQDotgUqWtuYFEPHbQ58ttNv6ancOP1TJO1lq7PI5Hj3OXXoo3O53U877bpzHEa6qp+Pmt7Kr28Ze2Qm6rH83DzcN4qHk4tzWM5t1QJlM8bdw7fDvzcxpo0I3IEpwS9vNqaiZ1C15Ei0X7dM7DLelro+XtN9j56/swAt5Ekh+X7+IXpTsY2+YHvT2VZVAkikXTWBHq3R0AgI98qYTXfkHS13aYRn980EJBWh59iHh5WfsPOoLpPdQkAPHyMloefQgtFOzzOdra2rjwwgtxOp3k5OTw+OOPH+qwhcNIzFALgiAIh4VFlohGQt1usyA7Bw2Jn9WWskV38L6UyTbJiYpEph5jpt7AFL2FZOEgCm/7BbK59+3Gk742dj54L1+1GXm2tYjkPnNIBjQudu9msrWFOquJpQVufCYFW1Lj1Bo/w3xRZvqbiOgSgZUrcE+f1e/3YSD5P11G3QvP0Gg28VpeDutcThKyRGYszpmNTTy8uYwNTif3jiimIBxlt2olpPX+q7405kDSNRIN9Rjc3d81+DbzvfAMamvLgYH0/lQVtbUF31+exXPzT/p0jptvvplYLEZ1dTWVlZXMnj2bYcOGMXfu3EMYuXC4iIBaEARBOCxsiows9XAjVJL4e04On3g8nNPYwLXNO7HvCVI0YENmJm9M+W9+Om8uiqFvzVyaX/8/6n0xnm0dfkAw/UNvOWmOGHefXMBXXnunDo2vlXgZ5Ivyo3U1mIMJmj5cdFQE1P7lS6l74RmeKMznncx09H3GXGW18kWKm4xYjPu2befXG8tYmeomofeteosOqMjoiYO3qRfac6bjpVt7v4OqEt+2hWRdLYZe1ncPhUK8+uqrrFmzBpfLxQknnMB1113HCy+8IALqo5QIqAVBEITDosBqISU1vVfb7rJaebKgkLcnTafEnYnFbGRzyzayiidzQ14mpj4G02o0QuvHS1kUzOsUTANc5N5NmiPGbdOLaLEcvATfDreFn00p4oEVlVhrq9F1/aClBbVYlMDKFQTWfkkiEEC2mHEOHYZr2kwMnt6nWvQk0dxE3V+e5fdFBSzM7Po9bTCbuX3EUP6waSuj/UHSlDgSOjq9C6zdchIFDcXpHKihH3fCy5fslzPdC4qB8LLFuC68tFebl5aWomkao0eP7vjZmDFjeP311/s6XOEIEQG1IAiCcFjMSHHyL6sdpzuVgK+lV/uk5Q9m165GvMOzyEyZzKVZXqZ7XH0+d+u/30TTdVZHOteUdsgJpthaeGBMXpfB9F4xg8xvxuXy/IfbiW4v7VRGT9c0mt98jZb3FhJLanwWc+PXDJgljXFbyvG++Rq2UyaQddW1KAOwIM2/9CNqbTYWZnh73tZo5OW8HP5fxU5MEgw3B9kS612APMXeDKkZmHLzD3XIx6341s19C6YB1GT7fr0UDAZxu92dfpaSkkIgEOjbeYUjRgTUgiAIwmHhNRkptJgIDB7FlrWfoO9ZLNeVjJwiTGYraDpaUmVOuodz0/vXZMW/5nPaVCPx/WanT7O20Gw28GVG74LcRpuJNZkO7B++R+6egFrXNGqe/AOtX67h5VAunydTO82C/zOmM1wJcMWajUR33UXRXfeiOPt+UbCXrqo0LfmAV9NTO6WmdGd5qocbdlZRaTUx29XIlkYH9DBLbZI0Znva8J55oWju0g29n4tU+7Kfw+HA7+/cEdTn8+EUdw6OWuI3RhAEQThsflKQg8OZQsnoCchK12kb6VkFFJWcQO2qjXiG5FNoN3N1Tu/SRfanaxpqXS2ydGAAP9zqZ3m+q1P+cU+W5roJbt7Q8bj5zddo/XIN9wWGsiLpPSClBCS2qi7u85ewqzFI1eOP9ngx0R3V70MJBvnS3fugPCHLrHc5qLGaGWoNcq6rDuh6DAY0rs/YhTPFjvMoLRN4tJD6sDC2v/sNHToUSZLYtGlTx8/WrVvXKQVEOLqIgFoQBEE4bDLNRuZ5U3B70hk7aQ75xSOx2p0oBiNGk4X0rAJGnzKdQcNOomblBqzpHkxGA3cPykfuZzt0PRFHAjxyAofceXGdRdEImPqWjx0wKUjR9tlFLRal5b2FvBzKpUazdrtfFIXfB4pIlJcR3V7ap3Pua+8CwVgfZ43jskxMUbh3RDFnuhu4Pm0nhcZwp20kdEZb/PwsZwej06DgZ3eg2Gz9Huu3gWn4yPYc6r5QDO379ZLdbud73/sed9xxB4FAgI0bN/LnP/+Zq6++uo+jFY4UkfIhCML/b+++46uo8saPf+aW3JLeC5CE0EIUJKICAtKLui6KgAiCHXEVXXWRfRTYIGVdy6Mo+ID4cuEBFAvqustPUJoCDzZYpPcUMAnp9ebmtvn9gdzlkl5I/b5fr/uCO3Nm5nvmZJLvnXvmHCGuqmmRofxqtXGwqISgwAiiYrq51znKy8k/dY6M1IOEJsQRHNuBBV064VPHhxAvp+i9UAE7CgNNeWwpDXevK3dpMDtcddqf2e5ENVycsrv4+/+j3OHiR0ftHjjMUQ0cUgMxf/OfLiN1dWlSkBCbjdw6TGoTYrNzwtfMv/19STMbuE5vpa/5JBmqD7+We6FFJc5kxVex4XPTAMLumdKoD1K2VebBwyjbtbNuGzkdmG+p20gxy5cv59FHHyUyMhJfX1/+/Oc/ywgfLZgk1EIIIa4qjaLwfOcOrP41i235WpylZeSlpGOzlKE6nPhFhRF622BCdFr+FNuBWJOhQcdTNBq0cV3JTU9jtCuL/ysLoth18QHEM2U+DDifz7oeobXujzz4QinmbvEAFO3fx95y/0q6eVRtlzWAa3/5d90r8huttzfabt0Zm5PHCZ/a9f0Ot5ZzXVEx6ztGsPDYGTq7FOJefg3Vbifoh/+jR2EBikaLPiwM3wGDGtTHu73RRUbh1T3+4qQutXk4UavFq2v3Wg+Zd0lAQACffPJJPaMUTU0SaiGEEFedTlF4pGM448OD2ZFfxC4/H0qdTnSKQmezkVtDA7nG21Tvbh5XCh01Fst7/4NG4+KZwNO8md+VIpeeXZZgbrNkcm2uhcMh3jXuJ8DqoH96EcH3jgXAXlxMgav60UGuVKjq0ZRbqxx6rzZCRt3KmHeX837HKIp1Nf/pHnchizy9jkUnzmAICCJmwUvogy+OEBI07u56xSD+w/+hx8h7bUnNk7totWgDg/B/cEbTBSeahSTUQgghmkyQXsfdYUHcHXZ1uxb43NAPrw3rOOOwEVts4aWQo+wuC+ZbSyg/WQN4/EAmz98SS2k1/ak1LpVnD2aijYjA1PMaALRGA0alsE6xGHDh0unrnUwD+Fx/I4awcBaeTmZOtzjKq+nDOzg3nwkZF9CGRxA27m68b+iHpg5dRUTNNN4+BP3pBQr//i62E8dAq3NPNw6433t17Y7/gzPc3XZE2yUJtRBCiDZH0euJefbPsHg+ad4GOlnK6afLYUxYNnYXUAav707mrzd0JNWv4ugLwWV2nj50gT6lLmLmPe8eRs63ew9uOH6Wj8tVahqG7pJEfSH6mM4Nq49OR8yfXsC1+C+8feI070ZFsM/fc7SSYJuN32dmcW/GBYLHTyL49+MbdExRPY23D4FPPosjIx3Lrh3Yjh9FLbeiGIx4xSdgHjwMXWRUc4cpmogk1EIIIdokQ0wsMfMWorz1Oi5rNi6zFlwOimwKNodKkNPG8p1nOR5oYlsnfwq8dJgdLgZcKOWmzCK0HTsSPe9P6MP+81Cj35DhhP5jIz20JZxw1jwmsBEngw15hIye3OD66IKCifvLEswfrGHJT9+TazDws7cZm0Yhyu6gb34BSlg4kX94Gp8b+zf4eKJ2dJFRtZ4BUbRdklALIYRoswydYuj6tzexHD6IadsWys6exl9vxa7Vkh4aydHuCYTmZDMp5QTeNhtagwH/bvEEPzAWY/f4Ct00dIFBmK6/ifv3H+Glom5YqW40EpUppvPovL3x6XtTo9RH6+dHh5mzcEyZTujub+n863mcdhtevv5433ATpviEBnUtucRRVEjxnu+wpf+Ky+FA7+ePz039McR1rXT/9uwsnKnJWC0lGMIi0PrJQ46ifZGEWgghRJumaDR49+6Dd+8+HstjHU56Oi72ew3U6fCt5VB9kQ8+ijVtLi9wmjeLY8lTK45KYsDJVNN5BhkL6PRMEkotHiSsC52fP4G3/b5R9wngKCwg68O1lPz4Pfl6A79ozdhVhY7YSdiyCaVDJyLvmYJ370RUu53iH/eSu/X/4UxOASAdUDUKpsS+BI0Yi6nnNY2S4AvR0klCLYQQol3y1WlrnURfTuvjQ+d5L6F941VeTz7MQTWQXdZAClUdRlz00Rcy2JCH3tubTs8kYYzrchWib3z2nGxSFieRUmZnjX9XDhj8Pfpoh/lY+X3BBW5/4xVC75lKwfe74i5/aAAAIABJREFUKMs8z889tOybbCbPX4OiQscLTvofOUj8a/vwGzSE8PsfRanrRCgtyMmT9Z+UR7QfklALIYQQdaT18yN2/ktYTx7H/M0Weh08gMZmxaXVoY+JI2TMZHz63tTod6avFpfNRuorizlsdfFSQA9sSsVxtrN0Rt7zi+GszsysDevID9Dx3mQjFpNn2dQoHalROqKydNz/1W4Awh98rNXdqe7bt29zhyBakdZxpQshhBAtjKIomHr0pEOPngCoLpd7NJDWpuSn77Hm5bE4uFelyfTltptDibcV08Mrr0Iyfbn0MC1rbvXi0c+/xa//QMwJvRo7bCFajNZ55QshhBAtTGtNpgGyt/w/NhuCKdPU7j7bP70jiM1yEpZb/UyB6WFajsfpydu6uTHCFKLFkjvUQgghRDvmKMhHTUthe0jt7yCf05s5ZTDTM9lBVnD1/aO/v0ZLz3/ux1FYgM4/oKHhNpl9+/Y1yXGka0nb0Ho/TgshhBCiwZwlJQDkaOs2m2KOxguTVa2x3PlwLYpLxZGdXa/4hGgN5A61EEII0Y4pej0AetVVp+28cGHR1fygoUsBFVBd1XcPaam6d+9+1fYtI4i0HXKHWgghhGjHdIFBuAxGrrMV1XobL9VJvK2EC0E1pxGBRSoKoG1F3T2EqCtJqIUQQoh2TOPlRcDgoYwrz6n1NoPLclG1Ksfiav6i+4ZjdjQx0XiFRzQkTCFaNEmohRBCiHYuYMRo4qxFDC7LrbGsv9POlJLz/DtBh6OGLh8mq8oNJ1yEjLytsUIVokWSPtRCCCFEO+cVGUXolOk888FatKqLnaYQqGQiljBHOQuKTuHvcmK0a1FU1WM2xcsZylWmb7ZhConAp9/NV7sKzSbd5mBHsYWjVhtWl4pRo5Bg9GKYr5koL0mz2gtpaSGEEEIQMOpWUDT8cf1qJpVn8w+vYI56+WJXNIQ7yxlrzaF/WS6GHj0JufUOdP/zJqFFNr7rreVsJ607sdbbVXqdtjPkFxdBphCin3sRjVfdRhBpDUqcLlbmFHLcakMLXHrkssgFeSVl7CwpI97oxWMh/vhopUNAWycJdRPJyMjg0KFDuFwudDodqlrzUEMtiaqq7rhbW+yXXIq7tcYPbaMdQNqipZB2aBlaUjv4jxiNd5++BO7cSuSOrWhyUgBQFQXjddcTNOoxTD2vQVEUoucvxvsfG4nZ/AOl3lry/DRoVYXQXDt6rRcBg0cReMddaM3mRqmbrgVN417idLEkM488x8U0+srxSxy//XvKamNJZh4vRATVOaletmwZq1ev5tChQ9x1111s2LCh4YGLq6bl/HS2cStXrmTBggVMmzaNwMBAHA5HzRu1MIGBgbhcLlyuug2t1NI4na1z6KZL2ko7gLRFSyHt0DK0mHbw98d/3N343XEXLkspqsOJ1tvbPbzepTg1oeGEPvIHgiZNxbL/ZzoUFYJGgz4sHHNiXxS9Fyo02t+7wMDARtlPY1iZU0iew1khkb6SE8hzOHk3p5Bnw+sWf1RUFHPnzmXr1q3k5NT+gVHRPCShbiKPPfYYAwYMYM+ePeTn5xMaGtrcIdWJy+UiNzeX4OBgNK10el1VVXE6nWi1WpQq+vy1dG2hHUDaoqWQdmgZWnQ71KKrhi4oGP3wUVe9HbJbyMQw6TYHx622Wpd3AsesNjLsDiL1tU+7xo8fD8CBAwckoW4FJKFuIpGRkaiqyt69e3E4HC3vl2YNFEVxx93aYr9Sa65DW2oHkLZoKVpzHaQdWoamaIeW8s3ujmKLR5/p2tAB24ssTA32u0pRieYmCbUQQggh6s1psZC/6UssB/9Nss2GzmTEHH8NAaNuRR8c3NzhNbqjVludkmm42Kf6aB3uaovWRxJqIYQQQtSaqqpYT58kd/O/KD50ABwOVEDr+u3hSiAnJYW8zf9CH9mBqIdnYuzarVljbkxWV/0esKzvdqJ1kIRaCCGEELViz8nm3Nuv4UxN5XiQkdOdvCnTabBpNFyXZaFXroVDZh/SdUaGFOdRlHkBx6J5hE6+j8Cxv2vu8BuFUaNQVI/nX42a1tmdR9SOJNRCCCGEqJE9O4vkhS+SpdrQGPX0zLMSXWhDq6oYXSr/DvVmVe8wRp4toJvNyXMxCbx4/hS5qhdsWIfGaMR/6MjmrkaDJRi9yC0pq3Mf6gRj3cbidjgc7pfL5cJqtaLVatH/NtqKaFla5yPRQgghhGgyqqqS+voSrKWlUK7ypX8EE+MTGd/zBsYl3MgTXa4h02Fi+uFszvkb0OicTMpL58XoeCJd5ezQh3Jh7WqcJSXNXZUGG+Zrrlcf6uF+5jpts2jRIkwmE4sXL+aTTz7BZDLx6KOP1vHIoqlIQi2EEEKIapXu+xH7hQscNPsyo2svPgmNpEj3nzulp03evNkhjj92TuDaC2Vke+sZVJSHU1H4JiCUDq4yitBStPvbZqxF44jy0hFv9EJby/JaoKfRq05D5gEkJSW5Jyy69Fq9enVdwxVNRBJqIYQQQlTrwoZ1pBpMLOrUjXJN1ankWZM382J6cP2FUrJMem4ryOJfAWHEO0vYpQ0gZ/s3TRj11fNYiD9BOm2NSbUWCNJpmRHi3xRhiWYkCbUQQgghquQsLcWRm8P6sCjstZi05bTJm71+gVj1CtdYi/jVYKJU0VKs6FFz28YEJT5aDS9EBNH9t37RV957vvS+u9GrXtOOi9ZHHkoUQgghRJVKftpLiUbL9761nzr7X0FhLE45QYrx4j1clwKgoqguVFVttRPYXM5Hq+HZ8EDSbQ52FFs4arVhdakYNQoJRi+G+ZqJ8pI0q72QlhZCCCFElexZWZwxmnHVIQk+ZfJGCzgUhUCHDW+XExMuVF+/NpFMXy7KSyczIArp8iGEEEKIytlzsrFlpBPodHBTcQFmZ+3Gt3BxMWk+YfBhTEE2GRojN7mKCBo89CpGK0TzkTvUQgghhPBgOXyQnK83UX7oF8q9tARrVF48fwoVhW3+wXweHMF5g6nK7aPLy1CB7X4hzP31FPt0AYy2ZeM/dETTVUKIJiQJtRBCCCGAi+NN53z6Iflf/ZN/dzHy3e8CSAvVgaKgcan0SrUx8HABy8/ksLhTN370Dah0P7/Lu0CWzosHss9jUzXc4sjHf/Tt6ENCm7hGQjQNSaiFEEIIAUD+Pz8n9+tNvDvGj1NRnjP7uTQKv3Q28EusF6MOWJj/71PMiY3niLevR7lwWzlDC/MoUrTEWi14oxIwcBChk6c2ZVUazcmTJ5s7BNEKSEIthBBCCBz5eeR+8QnrhvpWSKY9KArfJHoTUOLiiXMp/CHuWvjtQcMQu42Xk4+jqipBqgMlsiNhv/s9vjcPbnUPI/bt27e5QxCtiCTUQgghhKDo2+3k+XvxS2w1yfRltvYxM/dkHj3LSkj3MjI2P5uJuZl4m8yEjBuPOeFajHFdrnLUQrQMklALIYQQgtzvtvFtD537bnNN8n21nOigZ1HaaUwuJy6/AMLvvofAkWNR9PqadyBEGyIJtRBCCNHOqaoK+QWkB9VtPOXzIXoSVH8ipj5EgX8gAVFRKLWYTVGItkZ+6oUQQoj2TlXrvakuMBBTz2skkRbtmvz0CyGEEO2cotFAgD+R+bWbuOWSjgUqhuCwqxSVEK2HJNRCCCGEIGjwcG45Ya/13eqAEifxaWX4Dxp6dQMTohWQhFoIIYQQ+A8dQUiBjWvTbLUqP+JgGZqoKIzdelzlyIRo+SShFkIIIQS6oGACf3cX078rJS6jmqRaVRn+i4WBJ8uJvO/hVje+tBBXg4zyIYQQQggAgu+aiMtaxhNbtvBTVwO74g38GnJxCDzFpZJwzsawYzY6X7AT+Yc/Yu55TTNHLETLIAm1EEIIIQBQFIWwKffj3fNaDF9vot8/jmLx9sKuVzCVOdE5VXz7DyRo5u8wdIpu7nCFaDEkoRZCCCGEB+/Evngn9sWWmUF5SjKqrRyN2RtTfAJaH5/mDk+IFkcSaiGEEEJUyisiEq+IyOYOQ4gWTx5KFEIIIYQQogEkoRZCCCGEEKIBJKEWQgghhBCiASShFkIIIYQQogHkocRmkJOT09wh1FtmZmZzh1BvOp2OwMBAsrOzcTgczR1Og7TmdgBpi5ZC2qFlkHaondb8t1O0fZJQNyGz2Yxer+ezzz5r7lDqrLi4mH379tG3b198fX2bO5x6kTq0HG2hHlKHlkHq0DI0VR30ej1ms/mq7V+I+lJUVVWbO4j2pKCgAIvF0txh1NmhQ4cYO3YsmzdvplevXs0dTr1IHVqOtlAPqUPLIHVoGZqqDmazmYCAgKu2fyHqS+5QN7GAgIBW+cvg0td4oaGhREVFNXM09aMoCn/5y1/o3bs3kZGtc1zVttAOIG3RUkg7tAzSDkK0fpJQi3YjMjKSpKSk5g5DIG3RUkg7tAzSDkK0ftokuYpFLfn4+DB06NBW28evrZB2aDmkLVoGaYeWQdpBtGfSh1oIIYQQQogGkHGohRBCCCGEaABJqIUQQgghhGgASaiFEEIIIYRoABnlow2y2+2sWLGCX375heLiYkJCQpg0aRJDhgwB4JFHHqGgoACN5uLnqdDQUJYvX+7e/vDhw6xYsYLMzEyio6OZNWsWnTt3dq//17/+xaefforFYiExMZFZs2bh4+PjPvaqVavYtWsXGo2G0aNHM336dBRFASA7O5u3336bY8eO4e/vz/Tp07nlllua6tQ0uWXLlvHzzz9TVlaGr68vo0ePZtKkSQCkpqby9ttvk5KSQnh4ODNmzOC6665zb7tnzx7WrFlDXl4e8fHxPPXUU4SFhbnXr1u3js2bN+NwOBg4cCAzZ85Er9cDUFJSwvLly9m/fz8mk4m77rqLcePGubet6dhtTXXtINdD0ysqKuLxxx8nMjKS1157DZDroblU1hZyTQhRD6poc8rKytR169apGRkZqsvlUo8cOaLec8896rFjx1RVVdWHH35Y/fnnnyvdtrCwUJ08ebK6bds21WazqZ9//rn60EMPqTabTVVVVd2/f786ZcoU9fTp02ppaan68ssvq3/729/c269du1Z99tln1fz8fDUrK0udOXOmumnTJvf6559/Xn3nnXdUq9WqHjx4UJ00aZKakpJyFc9G80pNTVWtVquqqqqalZWl/uEPf1B37dql2u129eGHH1Y/+ugj1Wazqd999516zz33qPn5+aqqqmpaWpo6ceJEdf/+/arValVXrVqlPvfcc+79btmyRX3kkUfUjIwMtbCwUH3++efVv//97+71r732mrpw4UK1tLRUTU5OVu+77z53m9d07LaoqnZQVbkemsObb76pzpkzx/0zLddD87myLVRVrgkh6kO6fLRBRqORqVOnEhERgaIoJCQk0LNnT44dO1bjtnv37iUyMpLhw4ej1+sZN24cqqpy4MABALZv386IESPo0qULZrOZadOmsXfvXkpLSwHYunUrkydPJiAggNDQUO688062bt0KQHp6OidPnmTatGkYDAZ69erFTTfdxPbt26/eyWhm0dHRGAwG93tFUUhPT+fQoUOUl5czYcIE9Ho9gwcPJjo6mj179gCwc+dOrr/+ehITEzEYDEyZMoXk5GTS0tKAi+d53LhxRERE4Ofnx+TJk9m2bRsAVquVPXv2MG3aNMxmM7GxsYwePZpvvvkGoMZjt0VVtUNN5HpofIcPHyY9PZ2RI0e6l8n10Dwqa4uayDUhROUkoW4HrFYrp0+fJiYmxr3szTff5L777uOFF17g6NGj7uVpaWkeX90pikJsbKz7D1dqaqrH+qioKHQ6HefPn6ekpIS8vDyP9XFxcR7bhoaGur/6A+jcuTOpqamNX+kWZM2aNUycOJGHH34Yq9XKsGHDSEtLIzY21v2VKlw8V5fOxZXn2Ww2ExER4V6flpZGXFycx7aFhYXk5+fz66+/oqqqR3t37tzZ3Q41HbutqqwdLpHroWnY7XZWrlzJzJkz3V/xQ80/k3I9NL6q2uISuSaEqBvpQ93GuVwu3nzzTbp160ZiYiIAzz77LF26dAFg27ZtLFiwgLfffpuwsDDKyso8fpkBeHt7U1ZWBlxMzqtaf6mMt7e3xzqbzYbT6ax227bs/vvvZ/r06Zw+fZrvv//eXefLzxNcPBdZWVnAxfNc2frL2+HK8wxQVlaG1WrFbDZXuW1Nx26rKmsHkOuhKW3cuJHrrruOzp07c/bsWfdyuR6aXlVtAXJNCFEfcoe6DVNVlXfeeYe8vDxmz57tvguRkJCAwWDAYDBw2223ERcXx759+wAwmUxYLBaP/ZSWlmIymYCL3UkufXV3icViwWQyuctcvn1paSleXl5otdpqt23rFEWhW7du6PV6PvzwQ0wmU4VzceV5vrIdLj9XV57LS2VNJhNGo7HCH6DLt63p2G3Zle0Acj00lfT0dLZt28aUKVMqrJProWlV1xYg14QQ9SEJdRulqiorVqwgOTmZpKSkan8haTQa1N8mzIyOjva4W6GqKikpKURHRwMQExNDcnKye316ejp2u52OHTvi4+NDUFCQx/bJycke22ZnZ1NSUuJef/bsWY+vYts6l8tFRkYG0dHRpKam4nK53OuSk5Pd5yImJqbCHbzMzEz3+ujoaI92OHv2LP7+/gQGBtKhQwcA99eol/Z9qR1qOnZ7cKkdKiPXw9Vx7Ngx8vPzmTlzJtOnT2fVqlWcPXuW6dOnEx4eLtdDE6quLa5MlkGuCSFqQxLqNmrlypWcOHGCBQsWeHzdmZ2dzZEjR7Db7djtdrZs2cKpU6fc3UEGDBhARkYGO3bswG638+WXXwLQp08fAIYPH87WrVs5c+YMZWVlrF+/ngEDBri/whsxYgQfffQRhYWFZGdn88UXX7gfeImKiqJr166sW7eO8vJyDh8+zI8//sjw4cOb8tQ0mZKSEnbs2IHFYsHlcnH06FG++uor+vTpQ69evfDy8uKzzz7Dbreze/duUlNTGThwIABDhw5l//79HDhwAJvNxgcffEBsbKz7D8+IESP4xz/+QWZmJsXFxWzYsIERI0YAF+8QDRw4kLVr12KxWEhNTeXrr79m1KhRADUeu62prh3kemg6gwYNYtWqVSxdupSlS5cyZcoUYmJiWLp0KTfccINcD02ourYoKSmRa0KIelDUSx87RZuRlZXFI488gl6vR6vVupdPmDCB/v378/rrr5ORkYFOp6NTp07cd9999OrVy13u0KFDrFy50j3G6JNPPunxwM/lY4z26dOHp556ymOM0XfffZfdu3dXOcboW2+9xbFjxwgICGDatGnu8bHbmpKSEv76179y9uxZXC4XQUFBjBw5kvHjx6MoCikpKSxbtoyUlBTCwsJ47LHHPMa+3b17N2vWrCE/P58ePXrw9NNPu8fdVVWV9evX89VXX+F0Orn55pt5/PHHPcbdXbZsmXvc3fHjx3uMu1vTsduS6trh3Llzcj00k23btvHVV1+5xz6W66H5XN4WaWlpck0IUQ+SUAshhBBCCNEA0uVDCCGEEEKIBpCEWgghhBBCiAaQhFoIIYQQQogGkIRaCCGEEEKIBpCEWgghhBBCiAaQhFoIIYQQQogGkIRaCCGEEEKIBpCEWgghhBBCiAaQhFqINigpKck9M1lL8MADD3Dttde63x84cICkpCQsFkujHePAgQMoisLOnTsbZX+Korhn8btSQEAASUlJpKSkoChKja+dO3eyc+dO9/vjx49X2OeLL76IoijExsZWGdMf//hHFEXhySefrLJMSUkJHTt2RFEUfv75Z491sbGxKIrC+++/X2WdhBBC1J0k1EKIq27evHl88MEH7vcHDhxgwYIFjZpQN4fIyEj27t3rfn322WcALFmyxGP59ddf797Gx8eHDRs2VNjXhg0bqv0QdOjQId5//338/PyqjWnhwoU4HI5qyyxZsgSn01ltGSGEELUnCbUQ4qrr0qULvXv3bu4wGp3BYKB///7uV2JiIgDdunXzWH55Ejxu3Dg+/PBDj/388MMPpKamcscdd1R5rCeffJJnnnmGwMDAKsscP36c5cuXs2DBgirLDB06lLNnz3p8wBFCCNEwklAL0Q4dOnSIMWPG4O3tjb+/PxMmTCAtLc2jjKIovPLKKyQlJREeHk5ISAgPPvggpaWlHuV2795NYmIiRqOR3r17880339CnTx8eeOABd5nLu3ysXr2aBx98EIDQ0FCPbg5VdVWprDvCokWLiIiIwMfHh/Hjx5OVlVVhO1VVee211+jevTsGg4G4uDjeeOONup6uRjVp0iROnz7N/v373cs++OADRowYQVhYWKXbrF+/nuTkZObMmVPtvmfNmsXMmTPp0aNHlWWuueYaxo8fz+LFi3G5XPWrhBBCCA+SUAvRzpw7d45bbrmF3Nxc1q1bx4oVK9i/fz9DhgyhuLjYo+yyZcs4deoUa9asYf78+XzwwQcsXLjQvT4jI4OxY8fi6+vLxx9/zOzZs3n88cf59ddfqzz+7bffzty5cwHYvHkze/fu5fPPP69THZYtW8a8efOYNm0aGzduJC4ujocffrhCuaeffpr58+dz//33s2nTJh544AHmzJnDihUr6nS8xhQVFcWQIUPcd6ldLhcff/wx9957b6Xli4uLmT17Nq+++ipms7nK/X766accOnSI+fPn1xjD3LlzOXHiBB999FH9KiGEEMKDrrkDEEI0rTfeeAO73c7XX39NUFAQAImJiSQkJLB69WpmzZrlLhsZGcn69esBGDt2LPv37+fTTz/l5Zdfdu9Lp9OxadMmfH19AejcuTODBw+u8vihoaF06dIFgL59+xISElKn+J1OJ3/961+ZNm0ar776KgBjxowhKyuLtWvXusudOXOGZcuWsWLFCmbMmAHAyJEjsVgsLFiwgBkzZqDRNM89hXvvvZeFCxfyyiuvsGPHDgoKChg/fjwHDhyoUDYpKYmuXbtyzz33VLk/i8XCs88+y5IlS2rsYw3Qp08f7rjjDhYvXszkyZNRFKVB9RFCiPZO7lAL0c7s2rWL4cOHu5NpgPj4eK677jp2797tUXbUqFEe7xMSEjh//rz7/U8//cSwYcPcyTTAoEGDPPbd2M6fP096ejp33XWXx/IJEyZ4vN+6dSsAd999Nw6Hw/0aOXIkmZmZnDt3DsBjXVM9qHf33XeTmZnJnj17+PDDD7ntttsqTYSPHDnC8uXLeeutt6rd36JFiwgPD3d3pamNefPmceTIETZu3Fjn+IUQQniShFqIdiY/P5/w8PAKy8PDw8nLy/NYFhAQ4PHey8uL8vJy9/uMjAxCQ0Mr7KuqvsCNISMjo9JjXFmnnJwcVFUlJCQEvV7vfl36kHDu3DlSUlI81l26cw6g1WqrTLCdTid6vb7edQgKCmLMmDGsXr2ajRs3MmXKlErLPffcc0ycOJHY2FgKCgooKCjA5XJhs9nc/09NTeX1119nwYIFFBYWUlBQQElJCXBxCL1L/7/SjTfeyJgxY1i0aBGqqta7LkIIIaTLhxDtTlBQUKUP8F24cIHu3bvXaV+RkZFkZ2dXWF7Z/mvDaDRit9s9ltntdo+kMDIystJjXLhwweN9UFAQiqKwe/duvLy8KhyrR48eGAwGfvrpJ/cyg8Hg/n9oaCiZmZkVtisuLqakpKTBHxruvfdepk2bho+PD7fffnulZY4fP86WLVtYt26dx/JVq1axatUqjh07RmZmJjabrdJ9DBs2jH79+vH9999Xuv/58+czcOBAvvzyywbVRQgh2jtJqIVoZwYNGsS7775Lfn6+ewi2EydOcPDgQR566KE67evGG29k5cqVFBcXu7t97Nq1q8Kd7itdSnCtVqvH8o4dO2Kz2Thz5oz7bvH27ds97hR37NiRyMhIPv/8c49uH59++qnHvkaMGAFAbm5utcPR3XDDDZUuHzJkCJs2beLVV19Fp/vPr8ovvvgCoNp+4rUxbtw4xo0bR79+/TAajZWW2bBhQ4VzNHnyZAYMGMDTTz9NdHQ0ERER7Nixw6PMgQMHeOaZZ1ixYgU33nhjlTHcfPPNDB8+3ONBUyGEEHUnCbUQbZTT6ayQZMLFkS/+/ve/M3r0aF588UWsVitz584lOjraY6i72njmmWd45513uP3225k9ezYFBQUsWLCAkJCQah/469mzJwDLly/nzjvvxGw206tXL2699Va8vb159NFHmTNnDufPn2fp0qUeCadWq+XPf/4zTz/9NOHh4YwaNYqvv/66QlLZvXt3nnjiCaZNm8bs2bPp168fdrudkydPsmPHDndiXJUXXniBfv36MWLECJ544gmCgoL44YcfWLx4MVOnTiU+Pr5O5+pK3t7e7olgqtK/f/8Ky4xGIx06dGDo0KEAmM1m9/+v1LdvX49JZSozb948hg0bVquYhRBCVE4SaiHaKKvVysSJEyssX7t2Ld9++y1/+tOfmDp1KlqtllGjRvHf//3fHg8X1kZkZCRfffUVTz31FBMmTKBLly4sXbqUJ598En9//yq3S0xMJCkpiffee49XXnmFTp06kZKSQnBwMBs3buS5557jzjvvpE+fPvzv//5vhYRx1qxZFBQUsHz5ct555x1GjhzJe++9x9ixYz3KvfXWW/To0YOVK1fy0ksv4ePjQ48ePSo9L1fq3bs3u3btYv78+cyYMQOLxUJMTAxz5szhhRdeqNN5asmGDh3KoEGDKjyQKoQQovYUVZ5GEUI0olOnThEfH8/777/P/fff39zhCCGEEFedJNRCiAb5r//6L3r37k1UVBRnz55lyZIllJWVcfz48UpnPRRCCCHaGunyIYRoEJvNxpw5c7hw4QImk4mhQ4fy6quvSjIthBCi3ZA71EIIIYQQQjSATOwihBBCCCFEA0hCLYQQQgghRANIQi2EEEIIIUQDSEIthBBCCCFEA0hCLYQQQgghRANIQi2EEEIIIUQDSEIthBBCCCFEA0hCLYS38NBpAAAADElEQVQQQgghRAP8f/9+KM5q2weJAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743743192901)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We can now create boxplots to visualize the distribution of PISR values for intact (1) and relict (0) rock glaciers. Does this match with what you expect as a general value? Is there a reason why they could be not exactly the same?\n",
        "\n",
        " "
      ],
      "metadata": {
        "id": "rspg0XagPPVV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Creating box plots to visualize the distribution of PISR values at points mapped as intact (1) and relict (0) rock glaciers\n",
        "plot_PISR=( ggplot(dataset)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID)\", y=\"pisr\",fill='factor(RGID)'),width=0.3)\n",
        "    +ylab(\"PISR (kWh/$m^2$)\")+xlab('Rock Glacier type')\n",
        "   +theme_bw()\n",
        "   +theme(legend_position = \"none\")\n",
        "   +theme(figure_size=(3, 4)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_PISR)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "bo4630Ge9Wyx",
        "outputId": "eac2b82e-f9b3-4526-bf7c-ee08f31d8d7b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743741592093)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We can now do the same for our MAAT data. Is there a good explanation why for MAAT there is a distinct difference while for PISR that is much less clear between relict and intact rock glaciers?\n",
        "\n"
      ],
      "metadata": {
        "id": "Qpmhc7VFYjXF"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Creating box plots to visualize the distribution of MAAT values at points mapped as intact (1) and relict (0) rock glaciers\n",
        "\n",
        "plot_MAAT=( ggplot(dataset)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID)\", y=\"maat\",fill='factor(RGID)'),width=0.3)\n",
        "    +ylab(\"MAAT (°C)\")+xlab('Rock Glacier type')\n",
        "    +theme_bw()\n",
        "    +theme(legend_position = \"none\")\n",
        "    +theme(figure_size=(3, 4)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_MAAT)\n",
        "\n"
      ],
      "metadata": {
        "id": "olcx2W6JYXQF",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 403
        },
        "outputId": "d5fc4247-777f-4b45-d734-ab1db5bb21bb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743743971021)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Redefine training data"
      ],
      "metadata": {
        "id": "UMUl6v9ugWzE"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "We need to arrange the training data in a specific format to train the logistic regression model. We define the predictor variables (MAAT and PISR) as variable 'X'. We define the  corresponding values denoting intact and relict rock glaciers as 'y'."
      ],
      "metadata": {
        "id": "hcJLoZ3FPi2L"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "X = dataset.iloc[:,[3,4]].values\n",
        "y = dataset.iloc[:,0].values\n",
        "\n"
      ],
      "metadata": {
        "id": "dY5JKO5iuabL"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now we split the enitre data into four parts. The first part has 75% of the data and is used to train the logistic regression model. The second part has 25% of the data and is reserved for testing the accuracy of the trained model."
      ],
      "metadata": {
        "id": "bvJu4CQmJ6d1"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Splitting the data into training and testing data\n",
        "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = 0.25, random_state = 0)\n"
      ],
      "metadata": {
        "id": "7yYU89sNJ13m"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Visualize training and test data set (before data standardization)"
      ],
      "metadata": {
        "id": "uEf0Z_G4CpU4"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's check the distribution of MAAT and PISR values in training and test data set using boxplots. We begin with PISR data in training data set."
      ],
      "metadata": {
        "id": "7t8by-PrpryS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# convert numpy array to dataframe (x-training data)\n",
        "df_train_PISR=pd.DataFrame(X_train[:, [1]])\n",
        "\n",
        "# rename column\n",
        "df_train_PISR.columns = ['PISR_train (kWh/$m^2$)']\n",
        "\n",
        "# add a column and include RGID for training data\n",
        "df_train_PISR['RGID_train'] = pd.DataFrame(y_train)\n",
        "#print(df_train_PISR.head())\n",
        "\n",
        "plot_train_PISR=( ggplot(df_train_PISR)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID_train)\", y=\"PISR_train (kWh/$m^2$)\",fill='factor(RGID_train)'),width=0.3)\n",
        "    +theme_bw()\n",
        "    +theme(legend_position = \"none\")\n",
        "    +theme(figure_size=(3, 4)) #x,y)\n",
        "    +xlab('RGID_train')\n",
        ")\n",
        "\n",
        "print(plot_train_PISR)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 407
        },
        "id": "P9hxCHyQk2ZJ",
        "outputId": "da07a4b0-ffe7-49e8-d82a-9e0e7106b66e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743741612465)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the value of PISR in training data set ranges between 900 kWh/$m^2$ and 1500 kWh/$m^2$. Now, let's observe the values of PISR in test data set."
      ],
      "metadata": {
        "id": "Y19qax5fqi2F"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# convert numpy array to dataframe (x-training data)\n",
        "df_test_PISR=pd.DataFrame(X_test[:, [1]])\n",
        "\n",
        "# rename column\n",
        "df_test_PISR.columns = ['PISR_test (kWh/$m^2$)']\n",
        "\n",
        "# add a column and include RGID for training data\n",
        "df_test_PISR['RGID_test'] = pd.DataFrame(y_test)\n",
        "\n",
        "plot_test_PISR=( ggplot(df_test_PISR)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID_test)\", y=\"PISR_test (kWh/$m^2$)\",fill='factor(RGID_test)'),width=0.3)\n",
        "    +theme_bw()\n",
        "    +theme(legend_position = \"none\")\n",
        "    +theme(figure_size=(3, 4)) #x,y)\n",
        "    +xlab('RGID_test')\n",
        ")\n",
        "\n",
        "print(plot_test_PISR)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 405
        },
        "id": "e0XiDvQq4z5G",
        "outputId": "56bd8a34-8f1d-45bf-e7fe-075d55d0ca4a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743741599521)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the values of PISR in test data set range from about 950 kWh/$m^2$ up to 1450 kWh/$m^2$. Now, let's look at the values of MAAT in training data set."
      ],
      "metadata": {
        "id": "sWzncqqvq-xf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# convert numpy array to dataframe (x-training data)\n",
        "df_train_MAAT=pd.DataFrame(X_train[:, [0]]) # indexing starts from 0 in python\n",
        "\n",
        "# rename column\n",
        "df_train_MAAT.columns = ['MAAT_train (°C)']\n",
        "\n",
        "# add a column and include RGID for training data\n",
        "df_train_MAAT['RGID_train'] = pd.DataFrame(y_train)\n",
        "#print(df_train_PISR.head())\n",
        "\n",
        "plot_train_MAAT=( ggplot(df_train_MAAT)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID_train)\", y=\"MAAT_train (°C)\",fill='factor(RGID_train)'),width=0.3)\n",
        "    +theme_bw()\n",
        "    +theme(legend_position = \"none\")\n",
        "    +theme(figure_size=(3, 4)) #x,y)\n",
        "    +xlab('RGID_train')\n",
        ")\n",
        "\n",
        "print(plot_train_MAAT)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 405
        },
        "id": "LQkqD6mmwC_t",
        "outputId": "cd39748f-826c-4be8-eb84-02acdbd24a33"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743738764509)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the value ranges between -7.5 °C and 5 °C. Let's now check the values of MAAT in the test data set. "
      ],
      "metadata": {
        "id": "dQrKXGirr8Js"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# convert numpy array to dataframe (x-training data)\n",
        "df_test_MAAT=pd.DataFrame(X_test[:, [0]])\n",
        "\n",
        "# rename column\n",
        "df_test_MAAT.columns = ['MAAT_test (°C)']\n",
        "\n",
        "# add a column and include RGID for training data\n",
        "df_test_MAAT['RGID_test'] = pd.DataFrame(y_test)\n",
        "\n",
        "plot_test_MAAT=( ggplot(df_test_MAAT)  # What data to use\n",
        "    + geom_boxplot(aes(x=\"factor(RGID_test)\", y=\"MAAT_test (°C)\",fill='factor(RGID_test)'),width=0.3)\n",
        "    +theme_bw()\n",
        "    +theme(legend_position = \"none\")\n",
        "    +theme(figure_size=(3, 4)) #x,y)\n",
        "    +xlab('RGID_test')\n",
        ")\n",
        "\n",
        "print(plot_test_MAAT)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 405
        },
        "id": "YqQcZwLyCLIA",
        "outputId": "9a4604e9-92ad-4def-e69f-75d7070ca351"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 300x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743738791341)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The values range between -6 °C and 6 °C. We can see that the numerical value of MAAT in training and test data set ranges from -7.5  to 6 and the numerical value of PISR in training and test data set ranges from 950 to 1500. Overall they are similar for training and test, which of course is crucial, as there shouldn;t be a distinct difference."
      ],
      "metadata": {
        "id": "YOBjzq5zs0Nf"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Standardize training and test data set"
      ],
      "metadata": {
        "id": "7Tw0DT7Zuag_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Data standardization is an important data pre-processing step carried out before running many machine learning models. This step is performed to bring numerical values of all input variables to a common scale. \n",
        "\n",
        "In this permafrost mapping exercise, we use two predictor variables: MAAT and PISR. These variables have  values in varying magnitudes. Boxplot distribution for MAAT and PISR indicate that  MAAT ranges from -7 to +5 °C while PISR ranges from 900 to 1500 kWh/m<sup>2</sup>. Therefore, we perform a standardization of the data sets to standardize these variables so that the values remain in a fixed range. \n",
        "\n",
        "We apply the ***.fit_transform*** command in the ***StandardScaler*** function of the ***sklearn.preprocessing*** package, a package for data pre-processing, in the ***Scikit-learn*** library, to perform  standardization of training and test data set.\n",
        "A value in a data set is standardized as :\n",
        "\n",
        "![Capture_equation for standradization.JPG](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAeAB4AAD/4RD4RXhpZgAATU0AKgAAAAgABAE7AAIAAAAPAAAISodpAAQAAAABAAAIWpydAAEAAAAeAAAQ0uocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFByYXNoYW50IEJhcmFsAAAABZADAAIAAAAUAAAQqJAEAAIAAAAUAAAQvJKRAAIAAAADNjgAAJKSAAIAAAADNjgAAOocAAcAAAgMAAAInAAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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        "\n",
        "Here, ***x*** = a value in a training sample, ***mean*** = mean of the training sample, and ***sd*** = standard deviation of the training sample.\n"
      ],
      "metadata": {
        "id": "RxLPfhI4Qex8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Standardize training and test data\n",
        "sc_X = StandardScaler()\n",
        "X_train_standardized = sc_X.fit_transform(X_train)\n",
        "X_test_standardized = sc_X.transform(X_test)\n",
        "\n"
      ],
      "metadata": {
        "id": "KdOgwm_8uf9C"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Visualize training and test data set (after data standardization)"
      ],
      "metadata": {
        "id": "8xD0mAqI_h-A"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's now look over the values of MAAT in the standardized training data  using a histogram plot."
      ],
      "metadata": {
        "id": "QitgTRirntu_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_train_MAAT_standarized=pd.DataFrame(X_train_standardized[:, [0]])\n",
        "df_train_MAAT_standarized.columns = ['MAAT_train_standardized']\n",
        "\n",
        "plot_hist__train_MAAT_standarized=(ggplot(df_train_MAAT_standarized, aes(x='MAAT_train_standardized'))\n",
        " + geom_histogram(bins=10) # specify the number of bins\n",
        " +theme_bw()\n",
        " +theme(figure_size=(4, 2.5)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_hist__train_MAAT_standarized)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 289
        },
        "id": "hDuhZJh56rg5",
        "outputId": "7558c207-2ac3-4cfe-ca5d-4704d32aab9e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 400x250 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743738770121)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the numerical values of standardized data of MAAT in training data now ranges between -4 and 2, values without a unit! Let's check the values of PISR in standardized training data."
      ],
      "metadata": {
        "id": "eaRjxrlpn7CU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_train_PISR_standarized=pd.DataFrame(X_train_standardized[:, [1]])\n",
        "df_train_PISR_standarized.columns = ['PISR_train_standardized']\n",
        "\n",
        "plot_hist__train_PISR_standarized=(ggplot(df_train_PISR_standarized, aes(x='PISR_train_standardized'))\n",
        " + geom_histogram(bins=10) # specify the number of bins\n",
        " +theme_bw()\n",
        " +theme(figure_size=(4, 2.5)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_hist__train_PISR_standarized)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 294
        },
        "id": "1xBzFsKE_JkT",
        "outputId": "b100ea50-61e7-4921-b66c-15adf0297b71"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 400x250 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743738659733)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the numerical values of standardized data of PISR now ranges between -4 and 3. Let's now look at the values of MAAT in the standardized test data."
      ],
      "metadata": {
        "id": "xDPhDDMxogp1"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_test_MAAT_standarized=pd.DataFrame(X_test_standardized[:, [0]])\n",
        "df_test_MAAT_standarized.columns = ['MAAT_test_standardized']\n",
        "\n",
        "plot_hist__test_MAAT_standarized=(ggplot(df_test_MAAT_standarized, aes(x='MAAT_test_standardized'))\n",
        " + geom_histogram(bins=10) # specify the number of bins\n",
        " +theme_bw()\n",
        " +theme(figure_size=(4, 2.5)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_hist__test_MAAT_standarized)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 289
        },
        "id": "1LZeI-_OzNUz",
        "outputId": "21f5fcd1-a95e-4a25-a9ad-fd7dcc833f53"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 400x250 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743738708289)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "... and we do the same for PISR."
      ],
      "metadata": {
        "id": "7GuAH_0yzjFV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_test_PISR_standarized=pd.DataFrame(X_test_standardized[:, [1]])\n",
        "df_test_PISR_standarized.columns = ['PISR_test_standardized']\n",
        "\n",
        "plot_hist__test_PISR_standarized=(ggplot(df_test_PISR_standarized, aes(x='PISR_test_standardized'))\n",
        " + geom_histogram(bins=10) # specify the number of bins\n",
        " +theme_bw()\n",
        " +theme(figure_size=(4, 2.5)) #x,y)\n",
        ")\n",
        "\n",
        "print(plot_hist__test_PISR_standarized)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 289
        },
        "id": "E09tCvUHz6Dt",
        "outputId": "25692037-730b-4887-bd26-2377abeca002"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 400x250 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<ggplot: (8743743585573)>\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We can see the data standardization procedure has now brought the values of MAAT and PISR in training and test data set to a comparable scale. Imagine if you would have datasets from other climate regions to also play with (where both absolute values of MAAT and PISR would of course be very different) you could now still compare all those data for the same purpose. This is what the word *standardization* finally means, irresepctive of external forcings, we bring it into a format that is useable for a machine to evaluate processes that may be the same across climates."
      ],
      "metadata": {
        "id": "vAJfBGTU0Znp"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Logistic regression model"
      ],
      "metadata": {
        "id": "AmovBo_1dWLb"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Logistic regression is a machine learning algorithm which predicts the probability of occurrence of an event. It considers that the ***log-odds*** of that event occurring is dependent on the linear combination of one or more than one independent variable, referred to as the predictor variable.\n",
        "\n",
        "***Log-odds*** can be considered as the abbreviation for ***natural logarithm of the odds ratio*** also called ***logit***. To understand log-odds, let's first understand what ***probability*** is and what ***odds/ odds ratio*** is. \n",
        "\n",
        "***Probability*** is the chance for an event to occur. For instance, when we say that the probability of a person winning an election ***(probability of success or odds of success)*** is 80%, we also mean that the chance of that person failing to win that election ***(probability of failure or odds of failure)*** is 20%.\n",
        "\n",
        "***Odds ratio*** is defined as the ***ratio of probability of the success of an event to the probability of the failure*** of that same event. In the example above, ***odds ratio*** can be calculated as = 80%/20% = 4.\n",
        "\n",
        "Now, ***log-odds*** of the above example can be calculated as the ***natural logarithm of the odds ratio*** or Ln(4) = 1.386.\n",
        "\n",
        "Let's look at some equations.\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        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        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "This equation shows the natural logarithm of the odds ratio. Here, ***ln*** represents the natural logarithm, ***P*** indicates ***probability of success***, ***1-P*** indicates ***probability of failure***, ***x*** represents a predictor variable and ***β*** is the coefficient of the predictor variable ***x***. \n",
        "\n",
        "When we remove ***ln*** from the equation, we get the following equation:\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        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        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "Here, ***e*** represents the base of the natural logarithm, a mathematical constant approximately equal to 2.718281828459.\n",
        "\n",
        "When we further solve the equation, we get the following equation:\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        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        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "Generally, there  is than one predictor variable and therefore, ***βx*** can be written as:\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        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        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "Here, ***1,2,..,n*** represent ***n*** number of variables and ***β<sub>0</sub>*** represents the ***intercept***.\n",
        "\n",
        "In this exercise, we use ***binary*** logistic regression model. This means that the model is expected to predict the target variable which is binary: 0 and 1. The model predicts the outcome based on two predictor variables: MAAT and PISR. There can be more than two predictor variables but in this exercise we only consider two commonly used predictor variables to estimate the probability of occurrence of permafrost.\n",
        "\n",
        "Therefore, logistic Regression Model implemented in this exercise can be expressed using the following mathematical expression:\n",
        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        "\n",
        "\n",
        "Here, ***P (Y = 1)***, represents the probability of output ***Y*** reaching the\n",
        "value of 1. The terms ***β<sub>1</sub>*** and ***β<sub>2</sub>***  represent the coefficients of predictor variables ***x<sub>1</sub>*** and ***x<sub>2</sub>*** respectively, ***β<sub>0</sub>***  represents the intercept and ***e*** represents the base of the natural logarithm, approximately equal to 2.718281828459."
      ],
      "metadata": {
        "id": "1kvWMRDrFwND"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Train the logistic regression model"
      ],
      "metadata": {
        "id": "d63LqeVjdr1V"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "For the binary logistic regression used in this exercise, points mapped along the initiation line of intact (1) and relict (0) rock glaciers were used. The initiation line refers to the line of origin of rock glaciers.\n",
        "\n",
        "Then, two assumptions were made:\n",
        "1. Points representing the initiation line location of intact rock glaciers indicate presence of permafrost and points representing the initiation line location of relict rock glaciers indicate absence of permafrost.\n",
        "\n",
        "2. The existence of the two types of rock glaciers is dependent upon the MAAT and PISR values recorded at the points mapped along the initiation line of intact (1) and relict (0) rock glaciers.  \n",
        "\n",
        "This means the binary outputs (1 and 0) would be dependent upon the values of MAAT and PISR and 1 would mean presence of permafrost while 0 would mean absence of permafrost.\n",
        "\n",
        "The logistic regression classifier is now trained using mapped points for intact and relict rock glaciers and the corresponding values of MAAT and PISR recorded at these points. In other words, the classifier is trained using data set with known values of 1, 0, MAAT and PISR.\n"
      ],
      "metadata": {
        "id": "Pmc17tE1COrc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Fitting Logistic Regression to the Training Set\n",
        "\n",
        "classifier = LogisticRegression(random_state = 0)\n",
        "classifier.fit(X_train_standardized, y_train)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7187252f-fd0c-4c22-ea03-3e47cb3ebaf6",
        "id": "NUuSmdohdk0O"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "LogisticRegression(random_state=0)"
            ]
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Once the classifier is trained, we can generate the coefficients of the two predictor variables MAAT and PISR as well as the intercept."
      ],
      "metadata": {
        "id": "oOEZtOWkONS7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Printing the coefficients and the intercept of the Logistic Regression model\n",
        "\n",
        "print(classifier.coef_, classifier.intercept_)"
      ],
      "metadata": {
        "id": "yW91bSGku1O9",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "de55fa35-c1b8-4853-c0f8-85de514f718b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[-2.96136869 -0.5785141 ]] [0.52073968]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here, we print the coefficients and the intercept."
      ],
      "metadata": {
        "id": "_gUP6BS9UU_W"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# printing  β1, β2 and β0   \n",
        "print(\"Coefficient of MAAT (β2) : %.8f, Coefficient of PISR (β1) : %.8f, Intercept (β0): %.8f\" % (-2.96136869, -0.5785141, 0.52073968))\n",
        " "
      ],
      "metadata": {
        "id": "5IHyaddwuCsh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "603884a6-42b2-40a8-cb49-b31c7340d65c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Coefficient of MAAT (β2) : -2.96136869, Coefficient of PISR (β1) : -0.57851410, Intercept (β0): 0.52073968\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Predict over the test data"
      ],
      "metadata": {
        "id": "pdgDr_KhhMbI"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Once the model is trained, we need to check the accuracy of the model. Therefore, we apply the trained model over the test data set or another data set where we have known values of 1, 0, MAAT and PISR. We provide the trained classifier with values of MAAT and PISR and  ask the model to predict the binary condition (1 and 0) for the provided data set of MAAT and PISR."
      ],
      "metadata": {
        "id": "oVqdWw-3PbiV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Predicting the Test set results\n",
        "y_pred = classifier.predict(X_test_standardized)"
      ],
      "metadata": {
        "id": "cIltCzw7u8Xt"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Evaluate the model"
      ],
      "metadata": {
        "id": "w_SWO973g73o"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "We assess the performance of the trained logistic regression model using a confusion matrix method. Here, the logistic regression model is being trained for binary classification—predicting one of two classes 0 (negative condition) and 1 (positive condition). A confusion matrix is a table that shows four potential outcomes of the logistic regression classifier: predicting 0 as 0 (true negative), predicting 0 as 1 (false positive), predicting 1 as 0 (false negative), and predicting 1 as 1 (true positive). In other words, a confusion matrix shows a comparision between what the class is based on the test data, and what the model predicted it to be.  We call a model prediction 'true negative' when it correctly did not predict where there was nothing to predict (e.g. prediction of no snowfall when there was no snowfall), 'false positive' when the model predicted something that didn't occur (e.g. occurence of COVID in a patient who has no COVID), 'false negative' is when we predict the lack of something while it is there (e.g. a dry river bed when actually water is flowing) and 'true positive' when we correctly predict a variable's occurence (e.g. prediction of rainfall when there was rainfall). Ideally a model should have a lot of hits in both 'true' categories and few in the 'false' categories. \n",
        "\n",
        "\n",
        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iigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP/Z)\n",
        "\n",
        "We can now go ahead and produce such a confusion matrix for the case of our model's output on predicting the occurence of intact and relict rock glaciers."
      ],
      "metadata": {
        "id": "cOwDgWq7Kkbq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Making the Confusion Matrix\n",
        "cm = confusion_matrix(y_test, y_pred)\n",
        "\n",
        "# Visualizing the confusion matrix \n",
        "sns.heatmap(cm, annot=True, annot_kws={\"size\": 16}) # font size\n",
        "plt.show()\n"
      ],
      "metadata": {
        "id": "yJyXDDhLvDmj",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "d8d2089f-37e3-404a-8c09-f3fc021a0f20"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see that the trained model correctly predicted 27 out of 35 relict rock glaciers (or condition for the absence of permafrost) and 29 out of 31 intact rock glaciers (or condition for the presence of permafrost). The model has higher accuracy in identifying conditions for the presence of permafrost compared to conditions for the absence of permafrost."
      ],
      "metadata": {
        "id": "mSQkblWtRfFc"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now that we've trained and tested the model over the existing data we can use the trained logistic regression classifier over the predictor grids MAAT and PISR."
      ],
      "metadata": {
        "id": "ZSHbdjXWLDbm"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Read grids for predictor variables"
      ],
      "metadata": {
        "id": "dbOG_N6ehWgR"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "In this exercise, we are using two grids for predictor variables: MAAT and PISR. MAAT and PISR grids were produced and saved as *.tif* files in our previous exercise.\n",
        "\n",
        "Before we can use data to run our model, we need to bring these grids into the right format. So far we have only worked with climate data for the specific locations of rock glaciers. But now we will need to work with climate data for the whole domain of our research area. This area you already know from the exercise on preparing input data. We start with reading in the rasters we produced (*.tif* files) with the ***Image.open*** command, open it as an array with ***np.array*** and then visualize the data with ***plt.imshow***. We then convert the array into a single column with the ***.ravel*** command.\n",
        "\n",
        "An array is a variable which can contain more than one value. When we read a raster and open it as an array, it contains numbers stored in multiple rows and columns. In this exercise, we read temperature raster (MAAT grid) and solar radiation raster (PISR grid) as arrays. The temperature  raster, when opened as an array, consists of numbers in multiple rows and columns representing temperature values. Similarly, the solar radiation raster, when opened as an array, consists of numbers in multiple rows and columns representing solar radiation values. \n",
        "\n",
        "When we train our logistic regression classifier, we provide values for PISR and MAAT as numbers in two adjacent columns. When we apply our trained classifier over PISR and MAAT grids for the study area, we need to arrange these predictor variables exactly as they are arranged in our training data. Converting arrays into single columns is necessary to make this arrangement. \n",
        "\n",
        "We begin with  the solar radiation raster (PISR grid)."
      ],
      "metadata": {
        "id": "IoOxjyHHtMRp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Reading .tif file for PISR and converting into an array\n",
        " \n",
        "grid_pisr = Image.open('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/input_permafrost/PISR_kwhr_90m_my_ext_actual_utm44n.tif')\n",
        "array_pisr = np.array(grid_pisr)\n",
        "plt.imshow(array_pisr)\n",
        "plt.colorbar()\n",
        "plt.show()\n",
        "#Converting the array into a single column\n",
        "b_pisr = array_pisr.ravel()"
      ],
      "metadata": {
        "id": "gjYIZrq4vINo",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "outputId": "b1617002-0589-4ac6-e5e5-ba92086cd756"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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28wCqaUmiQnaZSEMizci9b/qMmW45jvc0LuKmz3lSHhFLwyyucYSCaO8UxksqEzNP6hFsGxvROUVrFcd5iXEq0AkupbeKIgnZ/qGY7LwgUz2PJ9fcz7Z8tDllVeasypxJ0nGv2KIHHt15MQLTAVRrGw1/D4DSD4X2A7h3NgwEk6ilMjFflgvS4dq1tOH845pmGKjl7VnBUEw8UFGHWUA0UmfhmGPdAU9PyNZT2XNtCi67CW+mN2M2PFdhBgjwqp/xZ6dfEgnLR/U5kbC0JtBKp/GOh/ENnzRnKOH5vDnhiTimdZrrLmcZV5xE+9e1lIHuOQwajYswLgwwiTSvi8e3MnIpPBJLLrufMk8Pmbr9ObAi/5kslN6Og0rBa0/ySiENPF0t8B7oJPOPJNFfu+TR7CZkmzJBScc+Trh6siBfSep7DjwkK4m8jKlahUgsddJz0+YYJ8fpsBSeTZ1SRB2xNHy6O6bsYn717AuWcUUie35x+YJo+BH+86sHFHHHRTvheT1jErUjRZBHHds2Zdsk/OCjB+hpjykjEJ633r2gtYpmHyP2mtJlyNjircRbAdKjlOOXzl5wMtAKqexZ6Ip3iquv/BgPxaYbEzL3nUkCX2wSMtUj8eM0vnWaq3bCNGoCjxlXAFy3OUo6Xu6nMAk87bZLqfuI3T5DKE/xcEekLFUTc5TX7NpQ0EtVHzJok/D+5ILjeUnlYvY24brLKXTLziQjsMXSUpqYZ82Ck2TPdRs4+1fNlEQajuM9T9plmFmYhFf1lNZoOqu4ejFH5YbLfEKhW1oXsTWat7IVj7JrtgP3XtsA5gBPqwWp6rmX7midpnWKygRQOoAlMKh6AvDaQQ0UKzuC7Xm2Y6PSkeYwXrHtQ20ivA7b359f4hCUJmbfJ1QmJlX9eDx5S5lyiG2fsuuSsagqCUqebZtiveAorYllAMxEGzZdGuo22nCa7mmsHkFfDkoUPOxMwveqh5R9zCxpWMQ1nVPj8/52sQpZvHCDHAwqm9G4iFT2pLLnvfyC3mmksLRec20K5jo8N+fRlrkq2diCvzT5hNIlXNuCm77g7eSSSzMN+4l7PilPAVhENX9u9oTKJjhEyMidIhqK/HaA57mq2ROe5QMPfyh8K+FG/v/wfyG+jkz9DtS/sRBWoGvQf/maP3/2nGflgussp3uy5CytqUxM1cdc7QuaJsK2CuEF1Qctcd7jnaCexqitAiPwWnC9LuiMItYW5yEdsmI/ZElln9AYzbeXr5DCcxZv2Jhs5G1v2pyyifml4xcsoorrvuCymZCqnunAA55nO3qnWL4R6JCD4uKmy3i2n0OrmLy5JY0MN5sCGfekSU9dx0gZBo6XzYx9n/AwX5MN4OC8wHhFJjuk8Dxv55QmYd1lXJQTImU5z3dkqmcRVXxZH/FecTkWCCeqZWvScD4IWqvxXlC1MS/8DOfBOUlvFbZTFPOaXzp7wat6inGSSFqmScumzTib7XmU3YwDzUU/DbREVPIwuRm/w4smqCXCOThO4j29V7wzWVHaGC0c110A4t5LSpMwixrWXUbVR/RW8uajK5ZpxcerE47SinvpdgTdw7Uso5KjqGJjMp7VC+ZxGMDWfTYUt0Pm3diI5/s5Z3moTxyKm1oGSeChqOq8JBqOMY8brBc0NqI2EZnuqUzEJGq/IiF0Xoz7a60e1C79qJRyCBoTESvDtktZNxmdUdybhudl2yUkKkgDl1lFqnqMC5RLhuc83430w7oLA1kuOhZxjRSO1imcl+y6lGnc8P7skusuZ28SjpNy5PG/qJYUquON7AbrJa3TTFTLciiISuFQeJT0VC4OGf0tugZg5zIS2Y+AngrD/XjD2ubMVc1b8RWNi/ggfYka6I3GR+xtyk2fk6meiWrJVUtlEyqboITjoptS23gc6CV+pK/CMxIy+8Ms40fJVH+S8IC9A/VvJqxRuIkHITgrqjFT2u4y/LdaHhQbdn3C082capcgI4dOLMYKpkcVzknKm4z0WYTowXQCm0k4bqnrGJsYkqhn3yQ0bYTWlt4GLi9WIavc9QllnJCpjuuuoLGa2kR86/SCadTQuoiH6Zp5VJNIw7oPXPHzcs77s0uOo5LLborzcuTC1/scPEzTFgFEsUFKTxb3PJxveJhvxmxv26ZcVQ8p4m4EhkQbct0FaqVPWDUFqzJnmdfcK7ZMdRvUA8LzXnHJqi9YRDX348Bfb01KIg2fro9Z3UwQ0uOtoNonSO1CnSGyTBcVk7TlJNmzakKRzHrJabYnloYn1RFPOOI02eMQFKqjdZqnNmama2a64SwKwJnLjlftbCx8bvqMk3iPFI5P9yf0Vo37gACIi7jmopyw2eV0Wce78yv+6lu/x7oP91HiAwcsPJns0NJR2XgE5QO90TlF5iVKeOZRTSQCdREr+xUJ56H34MFki5Z2BJFD9iuFZ2vDcTurkCrw4lJ4ShOjh/0c+O2bNmfdZCxSxgKfFJ5uqEOkyvDGdM2+T3BeMI2a8VxCL0I4vzTqmQ9Sy94pYmlobMQsbqhMzDRqQ8Y7Uj2OTPe8O7kilf0IjIdQwnEeb7nspqy6CVoGGuOgJmlcRK5aGDLig/RwrsNvcG9TJoOaZWMzpjL8/0DNzFXFTNbEwoIMg2PnFWrIvN9OLvkgNVQu4Wm35OPqnN4H2aQUjkSaUd54G8wPWbvltQKm9fqnLpTC15epCyF+A/jrwIX3/hdvbf+PgF8nnP7/5r3/T4ft/znw7w/b/2Pv/W8O238N+K8JNcj/3nv/d/6oY//Mg7odlAV2arELz7fnr3hez/jyaoFSjvmiZNUW7LpQALx/vqa3iptNgc4Df9gflC4CzMxj5jY0LO0j1FGDECET8d7hPaRxT9VHbMuUs/meZ/s5Ta/5gdE8mG05zfbsupTTbE+hW142MzqrOI73HOmKvU34Yr/ki9WSODIYL3mZTAPYDNnVVVXQrDKK85LzfMdmyLb6XtFHkt4pnlVzeqe42E3YXk5CA1YaqCQxNEPFaU8cG5omAi94cLzhjUnI6DPVsTY52z7wqY/zFSfRjotuRus0x1GJQ3CSl+RRmAG0NvzotHQ8He7x4+Wa96aXOC84z7eooTCqRVDIRMJR2phNn/Ig2xAJSzI0pVjCVLn1mrNox94GSkhLS6Z6lpS0TnPRTvnu/AUQGloAnjdBxfMwXVOctvxT9yZpZIKkLzHcTzfsbRJAZaBdIhH4+7XNuGwmofDpw+xgEdWjYuIADPezLe0Arq3VVCYeqY0Hk03Ijp2k95IIN9IqjdVj00+szDgoLOKaq7YIDWDD9kz3I0XSOU088NyzocYQS0Oqwr9tn7LpMiJpiZUlvqVKcV5inGAZV7Qi6OdzEQa/VPXYgduXwqFEaCybxfVYFD/cV3jNpSvhuJdsuOonIes3OXubDJlzF2SUeKpbCpPfK++z6TPeyq8DTYRnKht6rznVO552gwpMNcihMBsUKvr1M0EouPah84+zaMtZtOVJe8xvrd7i8XTFTIdBYm8TXrWzsd7S+9CopYSjdRo7NMb7n1r9Av3Xx6n/D8B/A/yPhw1CiL9C6KD/s977VghxNmz/DkEJ+F3gAfC/CyE+GD7233LLVkUI8Q/+KFuVn3lQT6OeNOuoKs1777wEwsP9Zx4+50G2oTQJmz6lMcVXuFAAU2miaUVLRHQjMRNH9s6W8sspCIGPPP6LgjL1NKcNUWzQ2tFbxb6KUCr8+HZNwu66QKUGMfejQmERhR9MZWLeyNc0LuKz8ph//uwhzkp+5dGXfHv6ksZFXLTTUOxzkps25+JqRrRo+OV7z6hMxMVuQrNP0Ilhu8vZVylRZPEequscmRqSo56+0+jIEkUGPXQVGiuJY0sW96zKnLKLyaKebFByKOl4ZxIUBTemGBuJbkzORLV8d/6CSFhWfcHNQH+8LGcUecs8ayj7mOf1nPeKS+ohA5Z4npVzPt8ueTy75mG6RgrPVTcZC7bbLhsBBWCi2nEqnYhQ+LruC7Sw/JnpMyJp6J0O201BpjqMl7xo5mz7UKRcZA2dVWxNxiKqyGXHXIes+wfVOVcmqD2wcC/b8bIOs6NlXOEQZAP9pHDsbYIUjs4lo5wz1x21iUjiFjMkFFoGkDxkgge1EICULjQoaUmCIVMd06LhuivYmVAUTlUfagnKjrMCCBx8rruBSpNo4ThOShZxRWNDkTAUs8P3WJkoUEkDvSLx4X1esohrIuFC1617rRgJ2xSt818B9R+Ow0zKIfiyORoy8WT8++Geaek4jkoWUc26f90YBrDUJdOBEjk0FgFD4VVTDSqXjc04i7aj6uV2V+jWpLw/u+ResgkzAwSfVCd8/+oe7x6teLtYIbHjjONQQI2EHamdP254/NdGv3jv/5EQ4vEPbf4PgL/jvW+H91wM2/8G8PeG7Z8JIT4mWKrAYKsCIIQ42Kr86QZ14yR1mfDw0Yq/sPwCi+Rbs1chuxs42n2fcJTWrNYTdpsMIT2u0hSnFd4L+lcZsRVEj/ZYKxHLjjgxxJHB34PdTY5/llFPLShPdlSjlMP0itWuwPQKGVseHG+4rnNSZeit4kl1RGcV702vQodldQTAX3z0OW/nq1FGlsuOSFi2JqW0QemiY8MvPniB84KLakq5ychnDW0TYbYxSE8fO4R2TE5KzqZ7jpIK49TA9wcO+qrK8cCjxRrjJK92U4yVNELTO0miLAtdk8ie5+1i5F8PBdJLOyESjrXTfLo7ZtukTJKW6zLHOUFnFffSiqM4SAd3JhmbZFwfCsrbPmUZlyTC8Ci7Hr+7t7IVkbCjjnjd5yyiKgy+IgBmLA1HuqJyMSmCyoYC60UbvluJ57KZsO9inJOj4qS08ciRT1TLXFW8l1/wZRMKrPeSLZWN2XRnvDNdkaluBCYpPOs+p3V61IlrIcdCZ20i5kk9Av2BCzdejtLNQ8Ezliaof5yiJiKRQT+eSEMtonFmIIVDDtYAh9AwtuUHNY0cz+dQkyltoDIaq8l1z3xIJCa6Y29ijJfUJvD7RdShRRg4CtUNheSg1b+fbn6s31skLG+mN1z1k9DgNDQ2zXQTqBhe0x/ASDO6wdZibfORjtnZjKmqX0soD7ThIFc87Kf3CoVnYzMiYbmXXo+Z/1U350U151+99wWZei3LPDQjHZREX4uk0YP98XdxIoT4p7de/92hE/4Piw+Af00I8beBBvhPvPe/RbBP+X9uve/psA1+DFuVH46feVD3CH7t279LocIDurcJxim+f32Ps2KPcZKTtOQ82VL1MdHgM/L8Zs6joxs+fHGG7ATug5L3TlbBE2SQgW3alJeXc0Spcacd+mUMAmqbg/LI1IDwRLEZC2eRsny8OqFrNc/8gsfnKyBkDO/MngbvjwGcImX5uD4b6Y9EGj5cnbK5KZgflQFcuoyLmynZdKCBtCU+LUMLfBPhehl8TYRn1RRM4yBJPM9CZrXv41EXLoUnjXtO83JsoAE4z7ZcdhM+Wp/S9preKs6me86zUEi97CbBj0WF63y1CYDqnKAzipfllOsm543JemyNT5XhKK4pbczT3QItLI+KGxJhRkrkSJfsbcpUNexsynG8x/pQZJ2ohotuRi47TqIdzkuedkcYJ7nuCrRw7PsE4yWbJqXpNe8cr5joNtgAJOuxs3LVF+xtwlFU8k52ycbkfF4fUw7X/6ya87lb8nhyzTIuqaxm3WcjiEsvggqnK7isJ+yahGWq0dKipRsz4MOsIx6y/UPGPr3VZNS6iHUf6JMDiN1urPlhTXr4+6E5KQB/5zTdcJxDvJGvB2XIaxsAgNN0H+wqTEI31IEOcshyUEEdVF2341BcvC0TlIOvSyTsmLkfZk8bG5KB4CkUZqtvxDfcj0MfQmUTXnYzJqrlLA5UCgRZokWOPPtBsQJwMzQxyQHQWxcousDLJ2Omf5rueSu7Gu9v44bZ30Dt2OFZ/WkjfAM/dlx57/+Vn/AQGlgCfwn4C8DfF0K88xPu48c6yM90ZKrnSXnEZ6slv/rwCZ9sTnh+teCDB69IVc/LZoYd1BiTuOU83fHJ9oQoMjzdzMELzn/xgj9/8mWgB9oJV01B1cc8//wElCc6qbHPcxBgTnrkTqNLgU0U/dzii5446WmNpu4irJWkWYGEQY0AACAASURBVMd3Tl+RqWCcdS/ecdFNxwzui2qJLDxTHZQXV13B//vsLaptSpz3nExKVk1BYzRSOZIoZP9Shiaj40XFpklZ3UxoyphPylN0bBHSkyQ9s7TlJCs5zUqqNg6crO65aTIknqO4JlVm1HB/uDljEne8O1+x7VNqE/Gimg3ZneOmSdi0KdsyxXvB0TR0alonKOKOaRQKpaVJxjb3RAV++2xQYrxsZhgXagsAG5PjEGxMNioVACLh6QeVhRKOqaypXMjO28Fr5c3shmWs+Lw8pmpj3jle8bhYhQzYxhgnOYoqImHZ2ZS9TdjbhO/kz9kQ+HHjJPfzoI6Z6I5CBUqlthHnyXbwMhGs+4yJatnJlJe7KfOsGQvQmQqzAusFxkniobHm0JW6agtS1b8uTiJIpKF1ehw0DiB8oF3skNlG8rW0sR914mIE88ChS+ZR85Xs2AzKluRWYRcY5bSHqG3EYmjyOgwCisD9/7Ck8nBsYOwwdUPRMpKGKQ2Vjem9CnJGL3HAUofvOhX9YAFgRu78cC5X/WS815GwrE3OVDevj+sFc12z1HZ8blqn2ZoMLS0nyZ5UGJqhWSuXHa3XowwSwiB54Nb/+CFGOeWfUDwF/hcf/M7/iRDCASf84fYpP5GtCvwpAPXeK66qgvrlhH/cvkuWt/yZN59y3RT0TtFZRaLDj2AR10EeFbckytDaUNh8mG9Y91loKrGaxkQ8u1ggJz2LeclmW+AKixtcG3HQ3e8RtUI0EmNjjIgwizY4ASrHImu4aXKe9jGLtB4f0qAPT3Fe8L3NQxZxRWViPlqd0jYx5+ebUIAbspBNndK3mk47TibBs2ZTp3y5WrCY1MymNWWV4JxkPq3ZVQnTtOVyMwHg0fSGZVHx5XbO24trjrNAqxycBgvdctVO2DYJ7y+vKIZMtzWaFzczujoiyXu8hzztkNKznJQk2rBrE3qrsU4yi2tKk5AoM5prbU3KIq6xXvCqnnESh6LnJ+Upi6j+CuXhvKD1oX3dIcZ/c9Xwoj/CeskyKvlBc847k6uxoJqqHmsHimGgXO6nW9Z9xu+sH/Du7IrzeEsqexJh2Nicy27K4zzw+nNd0zvFizbw8pWJeLtYYQkt94VuqQfKp7YRWlkSbZhGDcdR0NtrFzot51Ez6Nw1pQ168FlcY5wi0a/B5QDQtzPtQ7/A6NcyZMZy6O693R362hJBDDOB8GwdOmcPdM4BNNtBARQJRw/jdi3tOEusRZjVpOoPboM/6L/DPiN2Nnw2lx2p7Lkfb9jZlMompLIfqTVg9IZJhKFy8WCYFuioTPXkMlxDZWO0sJQmKMly1TEfvG0O2Xzl4nGgtQSZ5dPuiLmqSWUf6LxDZ+5geZDr7kcOVD9JhELpnyio/6/AXwH+j6EQGgNXwD8A/ichxH9FKJS+D/wTAhr9xLYqP/Ogjod9k1B8ppi9u+UXly+YqBbjFZ/fHJHHoaOvtZq9SegGqZcWjkeTG266LBTIhgaZxmoao3G15uGjFVUXURQNycJQNjHVNsXlgcv2SkIczL6E9PSNppg1eC8ou4jrMidSlkVa84PtObWJRuvXx8WK0iQ8KY9YlTlHedB5f2fyAofgs+qEH6zPWK8LFouS46Lial+QxqGodjSteH9xybNyMdriCuG5f7SlswqlHJebQBW8dXTDUVKNRTUpPNddzklcBnlll/H24pqzZMfLZsbLcsbVrsB7wfnZBmMVxkqyuEdJzyxpuJ9t+Zwl1glaq/h8e0xnFe/MVxS6w3g1KiCu2gmlCT/EkyQogoxTAfSj+isFNxxUPqa0CafxDjXIESeqYa4r3skug13w0Jq+aTOsFVR9RKY6nA/7Kk3C42mgvioXc9WGZqR78ZYHyRolHC/KOd9f3ydRZmy6OUgCnRdctBPOOAyAobM01paqPwCnJ5GGjc+4aXNS/VpnfmjoylSwPTgAcPCTcXRDMfoA3K+tku0wCLQjMBsvQ1u/P1gnKxAw1W2QNw5GZIfmKCWCQdghGquDnHFsipJEWBJpg6xR9SSyH9w1FXNdf4VuuW2WFb6iwI8fzLcO53kA+dumXFdmylUfEoz5YB621CVWC/Y25Um9xHaC8yQ0fh2Sq0J3r7XnQ1G194pEGOaq5jzaYhFUNmGuQ4bfeo3ybpyVHTT1E92SyP6nbj4KOvWvB9SFEP8z8G8QuPenwH8B/AbwG0KI3wE64N8bsvbvCyH+PqEAaoBf9z6Y0PyktirwpwDUPVCucqKl54PFJTddzsqHKe/joxsuqwIpQjGtNRrrc3ZNQqIt35m9YKZrWhc8Pg4NJ2UbI7OgHlHSI4Ql1YZi1rGJDGWd0JUxJBaVhK/ZNBqxi9hXmnjZECkbAFw5VnXOzS4njg0fHF8yj5oRFL67eMGmyChNzDIuWfUFX1RLtAyK2O88ejEW3LJFz7ZNuSxTul5zkUx5Z7ri+c0cKR1F3HGa7blpc+q4J4t7eqtYNxnLNDSoNDZCC8tpuh+uXRNLy4Nsw86kbNqMy+0EpRxa99wvtryqprQmFJtzHYpRv78+ozOazmjKOsE5QRxbvpBHnGbBO+XdyVWYlRComF+YvGRnU57VCzLVf4V+eNHMWMYV6z6n95LTgaJ50i6ZqHbsig1eHqHLsDQJl2VBmvastgVX06BsaZ3m3eISiefG5Kz7jPNky9ZkvOxmPEzWSOF4lF2zjEq+rEMBu9CBauq94rorOEvCORyy40Ok2rBqc07jwCvv+pAsYALgTXQ7DGwhuz7Ue27z1mbI2PXQQOZ8sCS4/YML3atQqG70gjnw4YXqWMbl6yLkj6AWDoZgjY0GFY38CrUycuuDSdrBVmFvkrEJzXkxWgfcztRvR+siJH6sWwS72zBAVDamc5rzOHDovVejln0qGyaqobIJr7oZ5/GW7+TPSWXPzmZ8VJ9xHJXjcQ6qGYC5rAJVNFJ2lk/rU1Yu6OkTaTgbHBxvTB5qBF+DcMV9TZm69/5v/gF/+nf/gPf/beBv/4jtP5GtCvwpAHXnBemiITo17PqEmzYf3eZaq+mM4lk5pynj4IneC/RJwy8+egIwamsvmwm//+oMIQj69nnw/FbS8Wo7JY0MCng0X/OpWzIrGmIdeG5jJRuX4zIBTtBfZewWijgJwHqzy4kiy+OjGzqneVbNg/dK3LBq80FvbEdFR+c0H62OKMuUbq55e7HirfyaF82czirms5KHsy0vdjNSZXj/7JIXuxmXuwn38y3386BkOE33fLo5JtHBAkAOToW1jdj1KTPdjG3wpUloreayLJjmDSd5aO8/yPUEsO9eS/COs4p1k2GdIIt78qhnlgSu+eCgV9soLFohHLOo4bPqhNZpHucr1n2OsTHXXcEb6Q2PspvRVCxRYUB93izCohuRIFctH9XnPExucF7ypF7y0fqUd45WbLqMz16e8P9d3IezQCvUNrrVeCRZUXAclextwvf39zmN9xxFFfeSDUdRReOi0f+kHeiN3ksmg6KjtZpdFwqLp9l+0Ht7rA/P4DKp6Jxi3wdaKJKWaPAciQaQOWTazgui2FLahL2JSQY8tl7Qu2ikxpwN7y9tTEagZ1qnxy7g2/s7OFQe9nOIy2bCabpHCY9xYuxetYeZw21/GRloD4CZDoZjuexGSug2feEQKF53bVYuJlcdlU24MTlX7eR1J6vuRgrsAMw3pmCuah5Ea6LY8K30xbjvxkdMVc3jdMWn9Sm1jcaeg0M9YmtSzuJQNJ2ohsrFvJle82F1jyNdMdcVlU34olmO9YyvQ6f+J8ypfyPxMw/qEED4veXV6FJX9jEvr2fYdYyYGHylEZmhOCs5mZT8hZMveFYv+GfXj0LhUHguLmdM5jXLvOamypgkISOt+ihQLk4wL2qmseB0UjKNWmoT8flmSbdOmJyVFMsdba/Z7jLcKqZRMf2RJk56ZllDbaJQTO0jllnF8/2cTPfctIqHxYbpwEX3Uc3jYoXxavTZ/qJaclFNyaOOadJxWRXsqoTf3d3jwfGGtxcrVk0RpuqqYTq0zx8046kKcrdD56rxklx1YzGp95LGao6LijeKNZ9sTjif79j1SVhlyUkSZbifbceuxg/dGWUXkUc9b0zWLOOSp9WCZVxxFu942c45joKK53N7TGljHqZrfn93/rpFHrjspmhp2fQpxgVv83Wfja3sX9ZHfFYe86gIgP6sXXDT5jya3nA/3fCJOyVJO9pW83S/4PFsxcfbU86zHYXueCNZ87RZ8PvNOQ+yLcYpvqyPWPd5oF50xVH02qs7EhbSQNs4LwZ9fkaiQvY61S3nyXbMhCdRy0R3XHf5yOVmshstYYGhGebwSgafeqcGCiT8IdAgBuPVa9MuL5hHgZc/8PTzKHDMB0A/FB0Pvu/A0JkcFqI4FOshUC+pDItp9LfsDQrdhZqINGOX7GF1rFU3Gff9INmghBv7CCoXU9l4lCBuTTro/ktOkn2gioDn7ZzTeE8qe96Ir5E43OD2eHjGIQxIpUt40S34tDzBIUZjt0fZNWuTs+4CjfdlE5qYEtlzFFW8nVxyb7ah8RGXZjo2SX1d4fnRM6I/bfEzD+rWSZaDNUBrNNsu4WI1wzWKaNngnWT6YMO96Y5cd2Mzx7ZPRxtbgLPTLfeKAGIeBpvVjlVV8P6br3i5m2Ks4n624UblPNkeMU1a3j5dsSoK3pzdcFVP2NUJbhdB4hCZxbQhY7dD56GSjmzozsyj1z7Wl/VkbOufRzXOSz7ZnlBELa+q4JUyTxq0dFxsJ9SrjDcfX/FqHf5mnBz11hdtaKjJdUcRBx7/JCnZm5i1yDlPgl3qZRfUJAcL10PmtmoLHkw2odDsgsTxfLZjGjc82R/x/uySaJBNVn1MaxUvqtDR90vz51x2U563wfP68+qYzineyq+57gu+t37IXzz+fDQYW/c5113w93Be8CDf8Fa64kU3Z9enrJqCo7TieKgJHIplj4przND6n+qef/3RJ/ze+px1lXGdFJxnO5ZxsLy97KY8ym6YTppBEx8Kips+JbaBf7ZITqIduQgg0HtFihin+5WJaa3mKKkC1y8cvY+47orQ3SnNeA0w+NfcKnwCo3fKoblrpuuxuHlYpCNQNP1oVgaM3829YXWgQwQwFz8S0MPnY47TQF8c1C37PjRSjbWDYdm3g1vjqi2Cb/tAkzgvxpmLlnbU2CMcq27KZTcZumyzsWP2zfzmKwtaWAQbk49Z9c5m5LK9xdGHxT3C6kY5V/0kZN75DXNV81F1BsCTeskiqkmU4boLcsdM9dxLNpzo3bjSksJz0xc8bRbjYHEYCH/a+Lrol3+Z8TMP6kJ48qjjsi54/nwJrUTkhslxRRoZdlXCB8eXnMQlF+2ExkZsTbB8/XNnX3LZTEbzpSebBZOkY5q2PJrcsOlT3l4E7XprNZGy3Eu2zHTDL8+estR7rsyU3968wU2b01lFU8WgwxJ4ad5R32RUq5wmj3G1RiQW30mQkM2agYs23J/uxkz+6W7BMqs4H5ZHe3t2zefbJR9+eY64iRG94K0/+4JFUvPuW1cjeMx0zWU34fl+zuPZionuOIprfvvyIds25dtHr1joiqlq2JiMN5IbvmiWnER7vqiWNDYi0YbzNHDFl81kfIiLKOzrQbYZlS2bbqAres3DyWsaY6ErpPB8uA8/xrfyayyhMeed6dXohX3ga0viIP3TPafxjmfta859Gje8kwcN8lFUovA8Tldcm+Dyt3Mpj5JrnnZHfHfxkk918HefRWGpupNkz86kI4d7pD1zXfGiW/BldTQUEUOTzLrPeDO9GRqEorEpCoL/SjN0bFYuRrlQ8D5J9qMUb9OlTKPgpxPJf3GZNbhlbTtoynFh2+vl+gaKQzG+Pmxr3evVhm6v5HM4zqH133nBi2rGNGpD89MggzROMYlaVk0xLpIRnDkVmXIkKlhWOATGKfYEr5lgydyNPPthYDosVnGW7jlOyvEcahuxIcMqOUoLj6KSqQx0396mbIYmpEiYUaf+sp2Pg9yb6Q0T1XDVT3mYrkc7gNrGPM5WtE6z6gvuJduhWSkhly2ND6qcSFrezlfc9PnY5fzTUuoeQfc1rKD0Lzt+5kFdSc9lWXD9aoZoFWLW4cqINo54c7HmtNiz7VK2XVgB5rD02DKrKHRHrIKp0ufbYx7N19Qm4rrOKU3Mm9kNtQsSq2hmmeqGj/ZnfLw+YZlVoyXrwQ7VOkmcGlxsKbKWpovC+qatxFUapEdHFmJDv49p9sFcrKtiPqtjHhwHL5FJ3I4FyTfyNU/KI7KoZ76oiE52/NLxC5Zxyf/5/H0mUcv7xQWt0/zO9gE/eHlGkvT8X198C7TnwYNrirjjL599EgBhaHpJpOGz+oTTeMdJtOdah8xnGVcho+9yJrrlus3pjQq69XpG2cf86skXdE5TDgZTEDLZxkVjBlXolg8mF+SyG3nNQxGz94oP92fs+4RZ3JCpnlVTkOuOJ/VymKmE/U6jdvzxbkw+rEIkeZRcs7E5iewpZEskZjytFrwaVhxqjCaPer49f8VUN0PWqAe9siCXHWfpjo93p8PgJTlKKi666VhgO6hyzLDWZ6Ts6IJpkbQmGu9lJOzozfIVv/JDURIxZqYHYJcEI6vDAtG3P6cIC5eHpe4k6z4fjb4OgH7I0m8fwwyeQEXUMYlaosH/RAoXaBUfmqFu2nz4nroRiCPhxk7Vgyxz1yecpcGY7dBmf+j+zVRPoTpmuh6XMbztnFi5mFT2HA2eLJVLsAimsqHxEY3XWMSodz/UPO7HwR/oopuxtwnrPhu91e/HGyaqIRUd1/GEyiah38ELchVzoneg4ETu6L3iLNry27tHXLTTsaHqjxtD+9dPtY+fhfiZB/WuV9x8ukQojz6pSRLD/HQzUhyHVeW3TcJuWM/z5MGGeRKmY8ZJnI+YJQ3n2ZabLuc4LVkObe8LXY3t4s/LOTdNxq+cPuW9/IK9TfmkPA3USFyHRp2Z5V62Y9unfO/iPkI5SD3eStJpi9aWpo55880Vl9sJbR2WXTO94vn1jPkkUCyrAWQ2fRa6OZ1ht8+wneRFXvKqmfLX3/wdnjZH/KPL99g2KbO04a+997tMVMunpycYL1k1BcdpyYf7M749fUkuQzFrb5PAgTcLPtyfBapGdbRW825+xU2cc9GEH8L5dDfI7RzfXrwKK8Q7RaQsmzYli3t+afE8mGXd+uEo4fj98pxEWtYm4a3sir1N+f72Pg+yDVnRc9VO2PQpZR9znm8pTWjkuZ+GhSNKE4MOnYeHxaCV8DxrFwAcRRVKB7DpnEIKOJ/uA9/bxzypjvj27OX/z96bxMiWpfd9v3PuPMSY03v5hno1dXd1s9kk1RJpEjYkL2hbFkB7Y4ALj4Dlhb0wIMCABQMyTMMr2YIAAwJoiLANGLIWNmDCMCBoYYEWKMpkN8luks3q6prelC+nmOOOZ/Di3HszX7Gr2s0qUdUgz+a9jIyMuBGZ8Z3vfN//+/2pTcBVm3McbtDWY6lcUPvK5IxVm9AYV4badmTK2vjsVURrJWfFBGUkid8OyIPEawfWiYcL7NOw5LrKBildvz5agrm9PMz3ZZLcDvCuOdoM5ZaPrp5cWOqAp7sp06hkFhWDv+zN78OpafKgZhYVXNfZ0NsAqK10PR0rqVTAsk65m66RuKA/9qsbf9BOdjj2y+5nXB/gUXzNs3o61PpTGjzsoJ3fqpSimyhOvZq1Sp0lYXHAOKi60+MB4S1Tk2lXOrkbrAiEYqFzdtYRIMH1PnqlTSGjoZTUWo+5t+Nnxu9y1k75R59Bk/NPdaNUCPEARyA7wW1yv2yt/dtCiP8S+A+By+6uf72T5XwsXvITn6eR4Fmsb9HKw08assBBl7Y6YldFlPuu9BEa4plTrVQ6IJSa43jH02JKqQLOyzEAhZXsunpm7teD6/ssdiWR3Kt5vzwarqFQIe8uDkjCli/Nz7tatMcorlHKI/A1vqd5MF7z4WpGmtYkvhvoidOGWV6wKWPKMuT6OmebtDRVQJLVjJKa5dbV/k8O1hwle5SVbOqYd4tDfnryPj8zfneoRe50xMirOOzkeA+SJblf87ur+zyvpoz9ko1KOCvHvJZfMfZrjsIdqzYdJHLXrTOhVp0E7gvjC37n+j5LfePz2NvhPVlNuTdZOxhYm1JrxxIJpeI42PJqek2hQyIZctGMeWd7TOy37JVrYt3WaM/DghfVmIsOslVpH2U9JkHFk2LGok5ZlCnaCKZJReQpvjC+4P3ikIfJgj8//5CnycyVBvYTWuP6LL2r/KoL5IfBjp/IHrPSKd8rTti2MZGniKR2xuBdOWtZO9vBxHfTwps6JvZaHiY1s2DPi3oyBGQnmxOcZk551JMCP7pu36a7Wnm/MXz0+7fvA6C0N2jCS+02OSns4M5UqoDTbD0MfIE7KbS87IHar94tKukIjn0zduTXNMbnfuZG/EsdDGqbRZNR6oDDyKmH+tdqrGAWuIz8zeScwkQsVEYg1ZCNr3Uy1OmNFM7QQzhzl6+NnzCSFU+bOZlXD8CzUgc8TBY8jK474FdEKhvWOnFOSeXclYy6vtJRnPFKvMBIOQw+7XRMZYJPX37p+DU/6uvTZOoK+GvW2m8KIUbAN4QQ/7D73t+y1v7N23f+OLxkL7L/2BUZopOCUVpRtT6H+Z5dG7LaJ5TbGHY+jFruPFigjRwQsh8sZ5yMdlx19cVtHVErfyDvlY37g1BaUtcBs3GBEJY7+Zax7/gqH+wPuJusuSyd6UTd+ryzOuL1yTWH0Z7MbzgLx9Tav7FWCxTzpGBdx0Sh4jDfOxSAcJOoUhrqXcT0YMckqRhHFT919JSTcMPIc42+D6s5UkxojM9FOyb3KnY65rwecxjtWKtkMMi4E61pOw1+bZz122WVMw4q9iriS/kZyza7AV/5BR6Wb+3uY6zgrfELXksu4cBJLXtt9lolVNpnlpb87MF7rq6pQ1adRd15OR4yraNwx15HfHt1ynGyHRQfl81okB4mfsuiSVnV7mTyenbJi3rMs2La9T2cSccbU1dfN7ja8XdWd9zJyt8TCMXM3/OkmhNIzfubAzxpeHd/xK6NOE3XaJx6xg3sSBZNSqFC5mHBoklJ/YZ1Gw8emg5961xzxlHFnWQ7SOv6Uky/tm1M5jeDcqTPXnuJ7e0lsWhu5JPBJ0xyAl0Ad0TFqzrj+W7COKqGTFtimYTlMMAkkahOzhlJTdDJPKUwKONR6oDYbzsNvMUXDIjkvnHbD+w9yq4pO/eh2vhkHSKhX/0Yf+9KtFU5gVSD5eAg45S9xFMxkhVbE9N2TeOdjhnJijfic87bCVdNzk+Mn3I/vGatM1rrc96OB01+38f4Uv6Cb23udQTNlnWb8K454tX0qmtMBwPn/dOaZADft0/yo7b+2EHdWnsGnHX/3wohvsMNWez7rY/DS/6TT3wiYdFKUjYBh/mebR2xr0MX0KUlPd25zLxxPJLNPiaNG6oq4FqmNMrnZLylan3Wu4S28pGBIYpalPIwWjIbF0wTd6Q1VgwuPLHX8uFujicNoa+ZRHtebEecFWPGk4p950XqS8PDbMlVnTGKarSRVK3P8cgBx2ZxiTaSsnTKjvF8TxY1RJ5iHFSdC40LCoFUQ7O2Nj6XzYi1dPS6aVCwahPeXp3QGskorLlMnEF04rXDxnLbxf5ZPSOVTZcZxdT6hOPYGVOP/ZJZUPCd/amryQrNob+jsj6PyznvLg75qZOnbHXMd/fHw4COMh4PswV3ws3wITgKt5wervi97SlXVc7dZMPYd1r2WvvUyqfSAbsm4s3pJY/LObX2WVYJr4ycQXXSNev6jWehMs6DMdOgoOp4IvfD605a59yQau2xKFOysEF3So5H8RVbHTP3d3xt/JSFyrionczzONqxUa40FXmKp8WUqpMf3stWHIVbLpsRl82IzK+HBufEL2lCn1WTDKeYQGikfFkBc7v+3d+n7oaKglulkP600Dcla+OjjMdlnXNZZByl7lS1qFJO8/Uwweoy+JDMrxlJh5ttreeUQljKblCoRxREnhrgYYG8wRL0p81pWFB2gR4YNPKB0C8RKXvSIjiolxSGtUqdbNZ6tDYAA1pITjpOeqGjoQSzUTH3wiVTr0BieGN+zt6EFCYaYGGHwZalyoZZgIlfMvEK/vLht9mbCA/DeTvhO7s7/N8XX+C10TXToGCvo0Gf/2mWa5R+7ivSP3B9Jq+g4wb/JPBPgZ8D/hMhxL8D/BYum1/yyXjJjz7eXwX+KoA3n6KV24W1kVwtRxgtQFhG49J5NAtL3fqU+wg/0OzLCGukC/TGERvrfYhYBtixIspr4rAlyUoi3x2/x4Fzj5HCcBxteVZOefvqmCRsuT9a8eBwiScsWVDze8/vsiwSXptdd8E856LKebqdMo1LNzZuJOfbnCxqSPyWRnm0lU+QtCgtKRo3uCOE5arKGIcTZuENWrevOVbamUP3tdZF1wA7SIqh2bpRjlt+WeecbV2JyZOGaVwyDiPuxBvezC44b8bDa5sGJQ/ixXDcHPsVh8GWhcporcc7qyP+wt0PB0Pnh8my++BPebEfI8WUqzrnuso4zdZ8OX/ORTOmUOFgbJJ4LfNw75grbcBFMSLwuowSR6gcha78tWhSHqR1V+Zx1zDzC15JHMK4MgE769PWxzyp5ry9OibwNNpI7o9W3Im3+J3H5YNgwd4LWeuMiedKCFvlvD43nW9rqUOHrjUS3bHMe9nh/Wg5qHd6NYrEwdlcw1EP05eecN6et+vht4O37ujfK5UO2vbbQz6unxM6zEKTULQh9/I1p8masV9xXo857xHTyjWuQ6kYY17is4ALvpnXvCRjdDp2N23admWMHuPg5I/ewG6fhFWX8YfDaaR/7QYxsO4RhqqznOuVOqs24SDYcxhsB5mjU7TE/OH2hINoz1kzZSxLPGHZmpj3a1fidNwazVqlFDrkyowg1QAAIABJREFUteRywFZ7GFY6HaaNwfXJ7mWrboObMA/3+L7GF598GvpB688apd0SQuTA/wb8p9bajRDi7wC/hHuPfgn4b4H/4Id5zI5L/MsAyRundj7bM01cM+XkYM2mjCl2EdtNwmhcYoykKkJsI7G+QTcSIaHcxNAKhHLSMjNRyEDTNj5ad2WY1mdpE87liGlScjd14/RnxZgvHl7gC8N76wPeXRwOBtVfvntO7LccR1sWTco3n99nnFbcH61c7bMNePPgctCOf7A5oFHuhBDHborT9wzX64xrMo6mO2rt82w3YRJVjMNqyK7647eyNwqKPKyZhgWR1FxWOYsq5WrrVCmTrOTByNVKLwrXCM38htyreSs9I5ItqWzY6YhvrB/SaJ/TdO2O62HLExXTWo8fP3jOPNhzEjjN+1Wb887umCerKY3y2FROD/3G/ApfGJ7VM67qnNx3LI77yZLn1ZRlk3A/XTEOKp7tJ4OefxaWrJqE1njDlPDj7Yw72YbYU0PzLBCaQoccBjsu6hHf2D4E4NH4Gk9YvrM4GTbCUgfcS5dc65yxLAdioLaSzKuHuvK2jXm6mxJ4mklYsmsipnHJuoNIzYJiQDyP/Zf1zyO/GoL57cDuCXMjkTQ3jVBl5KBHlwTkdCbXiCET7gN6KDWHowUn0XZQm5zGK06izQDI6n/WqWXswEzvl7L+4D/abx7OIDt2htPC4HeNV1+6xnfmuyE13TGUej2+7pQ3bXfqcMNUitSrB4pj1GXtxk55XM65bEbOvMRzgK3KBLyeXw2nzsNgy9QruFQjXo/OyWTDSqectdOB57LTMYHQw1Rqz2dftq5J/Wp2Teo1vL07caRT7TMLy+H9+TRLfwYlnH/e61MFdSFEgAvo/4u19n8HsNae3/r+/wD8n92Xn4SX/NhlrWBXRghhKZsAXxriQFEQYfc+TeITBoooaSlrD1X4oCSilvi1wATOV9J6IEPNZFwQ+ppWS4oqom09jJLOWMO6RlaUrfip+RNq4/N4P+f+aDUQ+k6iDVJY3t8f8JuXD7FW8HC+HEoeL7YjdvuYq+WIMGo5Hu+olE+5D8lHFQ+mTlZprKBNPFrtsSldthV4mrIJeKxmGCOIQ2c2LHC1+ixsGIUuaK46h6LrMiUNWr5wdEmlXQA7jPaM/Io78YZShyybhLsRXKl8COivxxdM/JJCO5Kha06lnNdjNm3MUbRjIxzSNpUN31g8ZN+G3B27139VZERCDU29sV/y5fyMnY54Wk1Ztk6GdpqsWTQZmzYm8VvWdUylAy4rj/NdThIoDvvmcBVzth8zi0s+2MwZRxWx13ZURcHDaOE09+UBp/HKbXxzy1k55qrOuBNvqE2AkRWXajz4bALMfMedua4zDILTfE2j3aRm4rdsG7dJjfyEvGskzrsp1B5wpYwbLurfM4Ng2dnAOQs/NbgLVcZlvxrJ2C+7soeThabSBdGNcgzxx9sZp/maw2g/zAD05Y6+B9RPOvZql8x3Teh9l70PNfAuoPerN/B2k6uVI3TqGyxwDyhzpSbDRkVI4w+b2W2EQCQVS5UOGXrft3hWzzgrx0w767x1Ox8YRK/nrkcSScXr8SWZdJyf18JLNIK9CalswP1wwcPQ8Ifl6YD4DYTmSuUs25S9igYLxDvhkmXryjRvTV44TXud/aBQ8gPXn/qJUiGEAP4u8B1r7X936/a7Xb0d4N8Efq/7/8fhJT9xWS2oVi7oaS2ojMQPNKZxJDvPM1R1gFYeKEl04aFj0LFBjd0frFACOWvQtUcUKO7la5Z1Sqs9DkZ7Gu3x1YMzLuuc6zJlHznD5ONwO2QtM78YZHJPyhnKeLw+uR5G6j/YHvBiO6JpfYJQ8ebhFbHfclm6RtLBfMfXDp+zbmPOdyPmSYGUhvujLYsyZVdGjJOK0NOcr0coJdG+pKoCsqSh7noCAKfzNQ/yJc/2U67WOfcPVuy7E8KmipBY3pq+YNUmbrgpu2bil7xXHpJ4LTO/YKEcWS+SiotmNPhGGiv4sfFz7oZrpDDsdMz3imMO4j0n6YZFnVFrf9Dur5u4m0QMuG4zZkHB2Hfqhp593k85uoaiZVklLHcp92ZrZlHBJHAWbUfxjvPSMenvZG5MP/S0Y9MLd0QPpObV5MrxfNSI82rEuo4HoNXzesrzejrUWEsd8GZ2wcQvyPyax2pGFtRkXkOjE95fzjnM9xzEe9fQ9RpS2TD1i5emO5cqZdu617pRMblXd0YgxVATX6l0KHcEwgHfauNTmpCpX9BKzapNiKO245tEXFU5d7INk6BiHuz/SMO1L1cp47mg1nmS1sZn3Tp2fo/mVcYbBpQiebPh9hTIQGr2TdiZbTuTk76kYazE91ruxhu2KmajEsZ+iSdeZsLM/IKrNmfil0TCBfnvbo45jHecRK70sm3joZy119EAPHtcz2mtx5eSswHbq5GMOnPq5+2M3KuHJvRaJaRew5vJhesJCM1VO6Lo8AD/ytEfMPJKPqwPeSVe8OufsvzSvw8/6uvTZOo/B/zbwLeFEL/T3fbXgV8UQvwErvzyAfAfAVhrPxYv+UlLeJZoUhEEiqaOnRNQ40HrqGxt69HsQ/zLgFCBjkEdNQjPOjb4dI8Qlklccb13QdmXzgx4mlQ8HC2ptHMi78sEizodAlXPzyg7W7GnxdS5vqQrWitZdz6Nb01fkAU1d5IttXYZ/a9fvsY0ck3SwNO8sz5iXcZUTcD1dU4QKw7TYlDi9GuWF7TaIw1a7oy2LKuE+6MV7y4OGcWuEVuokKIN8H1XV5aeM1wexTVHiZM7Jl7Lpkl4Vk479YIL2ieBU4m8XdzhRTVmElQkXsNeJyzqtHNDGnFZ5Y4l4rXcT1e8qMacbV19t9UecaDY1855qV+LIOPN9KJD0LbDVGltfJZNwsom7KqIcVq55qkfMPJrjkLHkGmNN4Ci+uEa47mG4rN6yhfzcy7akdOQCzcJ/GC04vluwq6NqFRAayQHScGb+QWZ74KEh+VLyRnHwXaYgky8lqfBlN6bdCbLTv73sivQsnUBvT+l9WWC1Gscy7vjgkdadZx2N2nZyxmPfKcomsjuRKQSlPFYdAYbx/GOeScX/Kj6woG4DEnXG+hvk8Jy2JEu+9o/3JQPZKdZH/s1re1Nxf2BE7NrI+LOBKTnt/SN8JFfDaeMAD28F325yc1ChFzqEe9tD/jC+ILjcEvU1eBNJNEIahOwbNMB97tT0SCHrGww+IpubYKHIZU1qaxprT+UdWKh6B2iahMw8Qti0Q5JSCxa3kqe8Y39q596GtQBvf4UB3Vr7T+G76v/+VhM5MfhJT9pCeGCM9ApDcAaAdLirX0aEROsPKyEdmSQtUTsfGziLGTX2wTPNw4BMHIsk03jzB36umePCZgHe8JI0XTNo1WTdjxsJzVTRnKSbLkbrTmvx4M5waJOiaTivBhxth/zynjp5F0d+yUNGuZR0aksJL5n8H3N6XjDQew2HW0lTxdTjsY7TlI3DLSsU2axk1ou65S3js65rjKeLSedU3w9WNfNwpJk0gwu8JUJOA62Q7b8YXnAeTXiJ6dPnPejyjkOt+RePUj4AMZhNTC8T+MVuVexbDPeKw55sp0yihrSoGFdx0yiivNdzovFmEZ7zJNi4IpEUnHWOSH13PFdG7EqEprGoygi0rSmNZIXuxHXecZRvONhsuBR6pp0a5Ww1xEn4cY1eeMtE7/oyh4pL6rx8NjTuGRVJRynW+6nK67qvANv1QOjBJxTT2Einik33DSKHEZ3GpRdPX0/NOleNGMCoSlNyP1k6coCxiPvMs/bqFrHhHelhZ2N2OuIkV8NTdU+OO9VNOAsnO66GgI63Khi+rJRX1a5LfVzEsUb/9B+KloKgzH+S43afgo18hR03Ph5WJB5DXsdYqxk3GX6/RBSKhuHlv6I5r4w4aDSuWoyriv3O1MdC10aC5JhGCkQmuNOIjvxCkaxc0YadxOnstPuL3Q+ZO3gAF6t9Zh45VDa8oShsb4b5hKGAIVBUtmAlUp5GN14Av9xl73FAvpRXp97/Y6UlqYOUK3HeFTQJO6S6yqgNQJv22UoqcFmCp07ZQxaICONajzadcSlFgRzQ+y3FG1IHjhrs344Y69C3tkds2/DzqhADiWGXiporEP49t6X6zrhJN3wKF9wVWfcy9dMgoq3V8edSsEhCha1I8/dS1e8ml1zN1zzXnnEB/s5d+M1idfiS82fn3/IP3j6JZ6ePeTHXn1G1m0K06gk8xq2ypVWxmnFtorIg4ZGe5zE24Ebv1Ip/+Dpl3hlsuSrk+euAbmbcVWkzNNy4HG0xuNxPccXhu8sTyhbn3vjDWlHI/SEU3v02mVw4+6zuHT+pzKkaEOysKVNaxYrp+Xvm43gdNENPu+uDwdVkNaSV48WRL4i9louihFe0Doi5m7OOoo5jnYchDsm/s3G+0Z3BF+qjJnvTK4jqbhq3O/jfrqiVs4s4jjYMvMLUq8eRtbPmslLU6CDtE97LHTKOHQo2NZ6PKtnQ0nloh1xHG3ZqYjcr2mNN2TnXqcuca/VBZ7a+sx8N/IObhrycTlnWadDHbvWLhk4SnY8Sq6H4PlR2eBHPglgHQmytTe/E2U8/K62LYfH6V2THMe9h4H1Pqg9ljfxWtdjsIJp6Groz4op6yDhMNyT+fVg1O0JN0D1ohoPr7n3uN20MasmYRqWzIO9c6GSLXHngrTVMVsdczdcDaWWPqADpLK+acp2rz8Qemh8xtKdnkKhnOTQOoXRVkcsVeY2bfj+KeYPsaz9oxPBP4rrcx/UtZYIYVGNR6PcgIq1roGKsCAs7djgTVqCUOF5hrq6mS47mO8IPc22cs3WeVTQBJ4bSInckfa6ztjUsfOvbH2WixyrJEHWkCUNQlj2pVMwhKGi2EV4geZLdy+odMB5MUYIy2G8RwpDayTfuTzBWsGj+WJwI9qriNPIcS/6I3RtAkZBheos1/7i6fdIHrQDU+V7myOSznGnH+tO/JaVnzg1gzR8+/ouSeBUNWUbcHe05aIY8Wv1G6zLmDfmV/zLx28D8NubBxxHWydnRPLNxQO0Fdwbuxr2kH0B2iZc1TmjwPmsHqZ78qBmWaVc71Pq2ud42pV60prlLkUbybJKeZgvAaiUk26ebcd40pDGDmm8b0OO0y1fnr0gkQ2XTc6mSQYI1VolQzPufuiu9d3q2Bl9KHddjfFo9M2fcOA5IuPTesa0C+pn7ZRIKB7FVyxVNihUnpVTdirCk4ZZVBAIw/+7foQvzIA0DjtolwqdDjyx7bDJ3K4zt9YbODJ9tt6bj1+3Ge9vDkiDhrDj8syjPXnHIAcG9yHgpTp+f1s/pdmXdvr+QqnDTr7ogrWxfSbPoFtvjRuQCqUaSjO9e9K2ifCFptJOf98nM+fFCGUkB5EccAmJ5/oAfXNZCsO9bMW4UwNtdcyHxZwX5YhZWPIwWeB5zk9UCnMzjGQ9WusTCJdpB0KTyZoDf+eY9yYhFo5XEwrF3kSD9DESirm/Gza2WLjPybN66sw2PrVJhvjTPXz0J7WsFajaA9MZBgBlEWFqD7l3u7pXSnTkgbDEYYtIOimX8hhFrkGUBC2ecP6Ys7BkqxxMad3EXBYZ+zqkrgPCUPHw7oJae9gu49nsY06m7hhZKZ8H91d8dfqcrYr5YDfnZw/fY6lSlPF4Z3PEl2fnHEY73t8f8Hw34a3ZOVIYxn7FsnO6v64zShXw+6s7rMsYISxvHVzwxdRxTD6oDtiriHvZiqibFoSbRk4e1uyaiFWZUDbOzekrxy+YjwtCqShTNzXowFgJa5XwenzBn5t8yPvlEX+wO+W8HHG2HvMv3PuAs3JM3lH/PtzOGIV1Z+7hGm7KSlc7D1yw+dl77/MgXrLVMU+KGddVxovtiKIJOEzdcE7kKfbK6b1r5VFVMcZINsBssueqzPGlQZkRr2bXjP2a5+WYWZc1Nvi8Et9Y1qWywfMNj8v5UK8Pg/oGg9upQPzO1GFVplxUOV8dP+esmQ5Mk9ZKjuMtVA4TMQ8LpkHBos14vJ/hC8NBvB9G6ksdcBjuhsy8h3fdztIPg92gtumdlc4rFxwPkx13Yid/NQheTa+Hcsao45v0h/4+U7wd0KGTSFoDkm5ALhogXG2HKDaWTqtvXgpOvTy0tdJx1o1H3ckbk9CZc1zWOb7QHCdbRzpt4u5347303twucY07X97e+u6t/MUwbOVMNWq09YeySCzUgOTdGldHDzxNc8uk2m2QY6LupNIjffvvLVROLFuX3eMklXeiNVftiPpTDg5Z/ixT/xNZQlhonURx66X4kcI0HqLwMLGByIAR0EpMGbG1giBUvHp47TTRVlK0IYfJDmMljfY4a8ds6hhPGlrt0SiPqgyJ4hZjBNs6ZBzXVMon9jSzg6Ub5gnLzsJMc1aN8YTlUb5wECoM7xWHBJ7DqQ486MCxswsV8HZ1wrYO+ek7j3ktv+Jn8nf5jd3rrNuEh8mCf3r9iL//7Ovojsu+2KcEvubRZMFhtKfpdMIbYq7LFGsFWdhwd7RhHFQ83TkDi9yrh4ZgKmsKEw59iSN/S5wqHtdzSh3whcMLXk2ueCO94HvFMd9c3OMwLdg1jjuvjWQyr9zzd2WDL44v3JRnB+HK/IaFSPGkcaedDrJW6oCH2ZL3zAHbMsb3Dfdmy04xVHPSGVr4UrtThhFDsJj7zvQ5ki2V7RkfEanX8OX8jLVOBmPrRZMy6hg2exUNoK5FnfHF0Tm18ZkF+wEYdhTsKE04MEUyv2bkVex0xEm85STacN1mzL1iMG7uddupV33fumtlAgoT8mEx57LMh9JZ7Dluf+bXrNqEaeBKYC9q9/fTD/h83LpdmnGNZOEmSrsTwe1rcZRGc5Oldxl1DwyLbjX8e5Nqv2ue590JCVyP6W664bLKmQQlrfW4qHLyoOZhtnypB3Db67RPmiKhXP9reP6ga3q6BieWwXd1q2M3oYpz4DrwdjTSY60zrlROazweRtfDkFPfD6pMMEhNlyqlMf5nkmP/qW6U/kktawSi9PBqAWVIO3UB3gYWEWusBaQFT+BPWvKswvcMyyohkK4UUrc+48iZQWRBzb4NWXXacAFUdUCSNIS+c5LfVBEXm5w0ainqkHxScy9d83jn5HCVDgY/0FAqdn7I4+2cog14OF6yVVF3fN07LHAXGObxnjcnl5Q64PF+xsNowZeSM66CEb9+/RoPshU/nj8dcLMeht8uXuHtzQlXdUajffyw4CTeYqzg+Wbc8W7ctF0e1vzB8g6vj6+QwjINCnQgyb2K2gQsdMbc25PK2knxIkcbvG4znpQu2/7K4QuUcX6a7z89IkhatuOIw2jHw0yzaDIWTcoH+zmv5Vco63FdpzzfjIl8jbWWq12GLwyR7zAIo7Dm3IxoG59dEzLpiJm9OcQ0KPmwmPMgWfJmct4NO40Glc5V61xupLBcNzkP4gWvRpectVPWKnGbdcetuaicy9KujbjXbRC18WmNz0GwJ/frgTnjjCEMz8opo7wa9PoA6zYh8VpOos1L5hgL5TbrQOiXGnPP6wlvr06Yx3vempyzahPGQeV+b+aGOXQSboZssDUeL+rx4DZ0e33UgANuODKJdzNtiZAvkR2lsLQdGMxdp5sA7QNs1PHX+3KLsabzUtWDS1JfzU/9psMSR46R42kyr8ELb04CDnUsX/IS9YRhrROed85Y4GrgeWdY7WGHidN+WMspfwwt3tBbyDuHr14Rc6XcMF3uOQ/gtG+o+sVLGf0fd9mON/RZLCHErwB/Bbiw1v7YR77314C/CRxZa686efjfBv4yUAD/nrX2m919/13gv+h+9L+21v5PP+i5P/dBHQHeUeUwAXsftHABPVHQldWtlvixYjIqEcKy2qRoLYniFq0lYajYtyG72jEiKuVedlUFqCrAjxRKu+w48hXztHNssQKlJVdFxrqOyYMGZT32bUjstY45EjRcFCMW+5Sfu/8el5VzigEXGO6mGx7vZnxxcsHULwa1ycNkMbj8/Pr1a4zDireyswH92evIT4IN8bTl2+tTDqI906DkWTnlukxZLTPCpCX0FePQDeqcjN24fO7VPIwWnd43HTKqvnn1bnHE3dgRB9/pzC7eGF/SGJ+NcjLFyWzPcb5zzdTNHXyhOYjc6H4gNM/qKRdVzruLQ96YX3EU7zgrJ5xtxzxbT5imJaUKOIp35EnN1T5kVzmD63Wb8MX8nC/EL4bXmsqGq3Y0DLcUJqK13mCV5lQ6LrN92sypjT+wuc/rEa2Z4kvNUbgj9xuOwu3QUOwVJY/LGasm5Ww74sF4TaV9ZGhYdhOa/Yc6lIrDcDfMJ7y7O+RO4jjs4w5u1auGWuvxwfbAMb87I5BIuh7HokmplJsG7bP01npMg5K5v+eiGbFUqWsKf0xRuA+ccMP275e2DAonvwOp3Tafvr16ByUHWXP9mKj7ntdNK/fCgcb4FCp0pzNhuJe6hn7iNTcloq7Ofztr7/sJI69i4rmyz1onSOvMM/qMvjIBd8MVHtZx8LvSiUZ0tXInRe2z+8I4NUxPhESYG2tCXDO1dzn74y4Lw3V8But/BP57HMl2WB3d9ueBx7du/tdwcztvAj8N/B3gp4UQc+BvAF/vLu8bQohf7bArH7s+90Hd8zRpWtO03YdzFWJ9A1bgBRohDVJafN+4Mkrd1Z5bSW0DkswBt9ZlTFmHaCMIfY21gnYfgrQYI4kCRR45rK8vNBfFiDysuZNtUEYSeppl5dCwh8meP7w6JouaQS3zc/ffY90mPN9NWG7dpuL7mmlesqsizlZj7s1ck/Mg2nf8kYDfOb/HmweX/Nz0XSrrU+iYZ/WMZ+WU83LEv3T0PSZeyZujy2EyUFnJpojJJyXWCs4upmgj+cr8hXvPhKU0Ie9WR4N6YeYXgyPRe+XhgFqNpOLN/IL39wdsW3eqWFUJ19uMIFBsmoiDeM/dZO2UEW3MN+sHvDm65EU15tvPT/nq6XNeza55VjrEcRa6TLLRHknQkvkNo6jGOzYsNhnnu5zpvHREyvqQD6s5p9GaiV/wrJ4NRsczvxiyvbm/H4I4dJmy33DRjEi8dsALP0yWndzQGWUUhKxV4tjfXsPdeMNVlRMHii+Oz4fHXKuEjUrYqIhAGKaBU94sVcpVk/Ol0TlpN1SkreS6zRy2wVoWbYYQli9OnS7eIJgFRYcnaIZN/qDTlfdrrdxpYKcjlm06oIpvZ+09SsBJ+W5+9kb+p+it6DwMygZDQO9NN3qMAoAvNKEUzELDZZWTec1g3CyFIeyz9c5FSRl3CupLV4sm7SSvZnhOJC8Fdvq6dNd3OAy2Q808lQ2V9Vm2KVftyElUreSicUNnh8FueLyVTocA72rxFdoKChMNhhx9+SmSLZ/e+0h8Zjx1a+2vdUysj66/BfxnwP9x67ZfAP5na60FfkMIMRVC3AX+IvAPrbULgI6C+68Cf++TnvtzH9S17uiGwqJrD6+Q6JFFBgY/0ORJzb4KKYsQLJh9AL5B7nxMomkCTZK3lI2TRa6rlCBSDvAVGLJRRRY1TKKq0/RK4qAl8hWrKmFVOVSsJx2HJQ9rrsqMug6wVnA82hF5rpm4qhPW+4T7ByuXxXSlka8fPelMGULOijGx13JZ5aR+w5sHlxxHrsn2pHLZ5+8v7vLsbMbJyZq3dydkHbhr7JecVRM+WM+R0vJotnQWeWnJrg75tffe4GC64/5oxSx00kNfuqz3ReOcg67KnNN8zWWVM+vGuhvj1B3vb8bs65CiiDic7tiWEUXtJhCnYUnqN7ySLpj4JR+WB1wUI/6NL3wLD8NZPeHpburgaFHFporQxqMNPLYqYltH7MoIzzM0yufD7YxVk3A32fAwWRDLlrm3I00aHtcH3XWNOQp3TPyC83bMh8WcvY4GtYzzr9ww8UqubO68LduMzHPN06s251k5ZdUk+NKQ+g2bxnnXPposAJx8E8OD2J2cvpSdc91mnaWfG4LqfVBPog2R33LRjIYm4VK5ZmxrPDK/5m64vimv3AoQrb1xMOoHeIbGa4cpro1PY/zBbahfveLmo6WB27e/7G16MzDX+6uCGy7q5xGcdZ0ZjLB94fxJA2E6nK8iAqRvOa/cIFrkKV7Lrwbbu/55NTdAs14jbxB49IwbBwKTnUpmrRNmQUFrPP5gdwrAcbRl4pVEsh3YL+Ccz0xXEGpNP/xUdxvuTSnMbRqfLiBb/tlOlAohfgF4Zq39XVdxGdY94Mmtr3vY4cfd/onrcx/U0ZJ26zIdUUsQFqEFupEYFSCEpW18TOlDKyDRbtr0oCbLGpKwxfc0oS/QgaSqQ+omgkZiA4NSHq0viXzF0/XElR2SLihpSVMHRHFL4GmqJiAIFLajKxrjfjGH8Y7LKue6yJDSkAUugz/ohog2PeXQDziOt6xbJ93r+R2N8fn93SkGwbcu77Lepnz1tWf4Qg8gptfzq8EN/muHz4YP1vNywnc2J5SFk2yen084fzJz751vwQi8VHHnYM2j8YJ5XAweqb99cY9dESGlZTYq0N1E6sPpyk1Ftj6N8nixHw0a628uHjhJndT8xMFTToINC5U5hntUcVVkmKrfHJWbehWGSVyxK91z3RlvmYQlr6QL3kzOh3LKuZoQC8fpjmXLd/fHN70EqRkFtTPoiBSvp1dD+eqsmdBaxxDPvIaJX/KkmqGsxzQsuZes2OuI76xOaLXHnWzLvXjFxCuZZCVrnTivzGiJsXIIUtkt67eTaOMagVZyHG6pTNAZLdfuxOMpDoMdspu8BCfBk8JhcHvfV3DBOPUa4q4UE0nFNCg47wzFF9pNPo9v6fT7n4Ob4N4rX3oTDo0k8RrqNsWIGzpjrwrqjTr6JmVvhUf3aP0KhHFQOeuhjMeb+QVPyhm71o3nB9JB1mrjv5Sl3w7orfFAdtLPTi8vu/elL8tcqhHzrs8hcSeUi2Y8SDf0lv2iAAAgAElEQVR9aShkSNUpaAY6ZucmlXdN65syzKfWNP4wmfqhEOK3bn39yx2I8PsuIUSKm7j/+U9xef+/1uc/qHvWNUIF2ExjlY8sJGIbYmKLCjW68VzzVHZKmUZirI+OFVXrE+N2/DR2H9JqFxIflmgt0EqiOiZ3qz32m5i69mmLECEtQdJ2E58OsKWtoG097s3XvDG+JBCGVZvweD1lX0bEUUujPSZhySioHTzJeJxVk0FStm5itm3Mw2w5TAxKYfnW5SmrdcYv/thvEcuWX33yVU7zDZUOuKhHZF6D35EZj+IdyngcRnv+0oN3nKqjk91pK9npiO9tj6i1z8NsObjEf3t5l585/QBjJW+NX7BVMVe1gyP1KF9lPIwQSGkQwsOThu+eubp7ltb866/8/jCc8xurV/ne4pCDrCDxWzxp0MonDVvuZFtmUcGyTqmVTxZ33BLl48eGRZvxh9zF6zCyMHqJOmg6REEfxLQVjIOKdZsMWWJhwyFYtsYjClpnTNwpMU6jFVsds2hSjpIdh9F+mO4sTDiMqpc64H5YdXyRnL2OnKVfx5rp5XKFCQd/09xz8rzG+HxhfNExyH12OhoCjbIuOCnrcRw6NorEumv2odAhe+304q+njmnztJyxaNIBtaCMfGmydJA38rKuvW+c9sjdfpU6dNcqXeC/bS7dP8deRYOaKOqkksYKjHB1c5eENKxU2s0ANAP+oX+tt+WArfWQ1gX0vhyjuWmkais5CTekXj0YaTh1kZuG7idaD/0d5+2YQkS8El11UtCoG25qu9dtKUyI/bSZuhU/TKZ+Za39+g/x8K8DrwJ9ln4f+KYQ4i/w8bDDZ7gSzO3b/9EPeqLPfVAXwuIl3Qi1p2kN0Ei8ojvibkInafQtBAaUcKcwCU3t0zY+wUh3zPWAtvUQAnxfI4QkDlsmScXzxYQoarFaoq4SCAzhrCZLagLPsClivEAximvCrOAocUFVdRlO77qSxx09r41ojD/QGw2CTZOwbSMe5YuhafV7y7ts666xusn46Vc/YOIXvF8ecZztaIznXI20z3HkGn/KevzW+QPujracxFtKgkGhUXfZayobfnb+Hv/4+nWeFRMX8DzFJKl4I71g2ZUYlJRUekooNesmYV3Fg5lInDVYK7hc5URxSx7Xbmq2q31LYfnx8TO+kF+walM2ymmnn26nFE3Apcy6uq6TZwphCX01SB/n8X5QnzxK3Zh3YUKQ8KSYcVaM+ersOT89eZ+1Snlaz7jqeClbFTMJSnKv5DDYUZiQt9sTdjoiMIZpUPAwumapnD2bsYI3MuewWOrJIC8EBtVLL518FF9x1Y6IZctJsCYWLdc6H1Q4fVOyzxKlsC5T7mrtz6ophQo5iPZoK2i0x6JxwbBXn0hhB7391C94Wjk+/XHHhT8OqmHjiv3ODNvKP5K5D0G+W9rSlV4Ch1DoKJP9/T+6GXhdzb0vxfSP1XPgjZXslWP1Sywy2rMTEYHRHYa3Ga7tNspg371Pt6dSB7ULNzr82tzw6W9Pyq5Uykm4obKudHMYbAcDC41gp+OBlV/1zc1Pmai7Ruk/G0yAtfbbwHH/tRDiA+DrnfrlV3EeFP8rrlG6ttaeCSH+AfDfCCG6ozc/D/znP+i5fiSCehCqIUvGCkwq0NIFL7QYygxYnMxRuwzb2D7bdM3QqgrQlRszLnYRRkkYdQ+jPLZFgH8ZoBODzBRhqPCkdVKuuCGPar5+8HioH763c4z1vhwTBO6D8p237wMQTGqEtDTriHBSE0ct/+K999ioiFlUcF6OuNpltK3HfLznlZNrKu3zTxav8Xw34TRfc7Yf04be4HzjC8M0LPAnmmWd8vvFHbSRvHXwgk3rfEc/3Mw4SAr+3OwxvjSsqoTA02xql9FeNGPe3R0CsKgynpzPENJtmtNRSRBoHh0uCDzNrnHyztvKgifVfJgk/MPdHQ6jnTMz1gHbxg1Sta2P6Da4HhhljGCeOpWH32WNmybhUXrNq9Hl4IJzVefsVMRXps5qb6ky1iphHuw5jVY8r6f4QqOMx7JNqTwXGPqmny81h8GWq9b9cnOvvrGFE5Za+5yXI54w443RJRO/IJU1a52ytbHD93aSO20ll3rM28WdYYCsH2Jy3p4lB9Ge2gTU1uednUNEnMRbtiriMNpT6YDDcM/EL29KM74asAWxbMmzmuf1lKfFlINojzIerZVsVDy81x/VrPev5/btHmZo1tbasdX9ru4t0cPPBbgSTI8YGHecmtr4Q2Deqph9ZyTiC03qt5xXI1LfvS5g2Nj6skyrPTYqZt+5Sxkr3OmBPzop2zdVhx5Et0H2m/tlM+I0ctLR2gTUBLekmjcSykBoEPpTq1/gs/MoFUL8PVyWfSiEeAr8DWvt3/2Yu/9fODnj93CSxn8fwFq7EEL8EvCb3f3+q75p+knrcx/UZTclqoxkv4mxex+hBULgyi2BRcYKawRWS4JY4XfqFmMEYaiQArK4Zl+GaAto4RqqnqUqQrSW6G1AsPJQiYWxQkjrjDQCOEx2xLnCl5onpds0HejLBaerIsNawSR1Spf8ZEccKBrlkcc1YrLj7HKCn1a8tztgHFbs2ohn6wlaS9K44eJqzN2jNZO84qwY0yiP337nFeJxTRGEzsqvjZiFJZsmQQpDpXyKxmEB3l0fcrnKacuAw6MtR/HO8caxrMuY0NcYC3dHW/6fF6/z1YMzzqsR2zrktdMrdo3bJLWRHOZ7LnY507RkU0WUm5h4VGPDlsebGbHnMroPdgcAnEQbpkE5MK2V9hDCcr3NsMDVOke1HnnucAOjsOI42g5qnpFXsdYpGtF9gP1hGOa31o+Yh3sexdesdUKhXfmjNn5nBOFKErX1hxp4JFVnQVfwTnnC83LCYbQfHldZyWG8Y9MkrNoEKWa0gc91m3EcbrkbrNgaF9yv1IjKOGPmWLauDn9LF71UKcs6JUtd2eB+uuKt1ElTn1RzNHIIgIvO9KEPhH1y8LSasVUR9+IVp8ma56Xzp839Gq9rZufda+slgbdhYrdXILUjK/oO8+DhbOxccH35vgYxSDJ7FQ24hqpzhfIIpe5KYJJCBaR+Q6UDXpQjQk8z8msSrxmwF+CwG/fT1QBS6597MOvuTqkuO3fX4AkzMF52OmLmF1y3GUuVDhwd2ckY3bXboexz45L06SWNn5VO3Vr7iz/g+49u/d8C//HH3O9XgF/5YZ77cx/UlZasl5mrq1sBsUGs3GXb2IJnERL8UKFa9wsXAtKooWp9lPLY72Lm0z15WlNIS1O5Y7ZtJHbvo65DPCVQuYFxy2y2YxzXlG3AJKoGZ55AusytVj6Rr6iVGwZplHve1T7B89zodehpDtI906ikUgHZaUOpArSRbJqYDxczym3MdL7jF175NrXx+YPNXTKvIfQcwfFrx8/57uqIq3XOxo8x1iFTbSdrnEQVSnssqwRPGo6mO05OnXxs3cQ83s1YlTFRoGiVRxy2bOqYeVIQSM1fOf4W9WFAZX1+d/OASvtsG5ftf+XoBeOg4rfVPfxYUW0j8sQFlg82cy6DnMh3aoiNSjgrx4RSoaxrOpcyoNiGXJmcZh3hZYo0agYHp95hqDIBz+opxkoyv2arYiKpBjOLHx894zRc0lh/+FDfDdc8bWYDMTDtGOiFCdl1g1+FCYmFs+Ib+TWZV3McbnhRT9zEZLzhS9k5Ox2hkaQdx1sjqGwwjPzvdDR4YPbDP73j0LZrYoedd+g0KDgKt6x1wkXjTgmqa+Cum5g7yXYIdKs2HTLW6zolD2qelDPuxBtCqdk2MQ/TJW3XuIWbpmP/7+3lkgz9EuGxb/pGohkeo98Idjoh7Da/Phj3WXprPDadwXjf/Mz9inHHAOpVVHlYDzgBiSUPasZBxSwsh5LLxHNGLD0bpy8pvaTckRpzq+zRm43ci1a3SlzOQq8nReZe3WnanYrH42U0wh93/dlE6Z/E0hK2PtazyFoitXMxMhOFFyt03ZnjSovn60EfXnW69nIb4UXOUchaUK1PlLTUZYDY+wiDww30fw9K4kmX3e5Ll0l60nC9yvF8h8wNPE2jnepgU0Vsz3O34UQajGAXGO4er1zW0bpJyElUMosLChXy4XKG1pIvPHxB7CmuW2cKvW5ijmKf2Gs5TdaksuHweMev8yqXq5xGuePpbh+jGzccdJjvKdqAB6MVlQq4KnO2VUSjPMZpxZvzK55sp+yrkChQVMpnHFX85vnDwd4t82sepdc8LmdUOqBufC7LnMdbdyq5e7DmxXJEUQfUVYje+yTzkq/fe+ywrtIFdyksLzzNdZVRhz57E6Oep5AY0qziwWiFFJZ7sbPbKzovzIvaBcBSBwMTB+iY9R4f1od8UB50QchJ7g6C/aDP7j0u++ZgaUK+u7/DPNzzhcxp95/VMy6aMTvtpmOVkRjPZYkjr+ocoWI8LI/rA97ZHlGocDAECaTmJNmy7ALwskkZ+TW+7LkkDq97J1qz0678sNchjfZ4mC25rHJ0F9AMgoNwxzu7Y0ZBNfRdpLBsVcy9ZMWj9BqNHBRPg/b8I//eRv/2DkH9qrsp2z/ykeomcHstvsSxhfrnO69GLjvnxlEpkU03TJXRGI+3Zi9IvJZF40b0JZZK+1xVB07fbiUjWw3vcb853K6d9yWUtXJkz14Bc5tQudUumUm9m6x85FU3RErEZxaGP8uJ0n+e6/Mf1IXFRgZZdMFbCcytU5YfaYxxtfM0bvGkM6Gu6oC2dr6gUljqKkCVrp5utEBehMhWOHckaRGJRvqGyaigbn32RYQ1Am0E2niEkaKuAqQ04EGjPBZFSruIIbAEee0cmYyg3kQ8/+CQ0Z0tJ52OvdE+oec+nHlc88psSey1XFcZv3n5kECaYbDIWMG3l6e8Nrom82sOkoLz6wll2Y3QAqd3lkS+Gsom58WIfROyWOUgLJNRwavjBcpKdlWEEFA0AaO4ZhqWjGdORfIgWXLV5Hx7ecokrDoHIeFGxLusutYeR9Oda4B5hjb0eTBbMQ+LIetaNA7hOgmc0YQnDGouaScexS6irgOuq4wvTi64bPKB8f0oueYnx0+4aEaUxiGRV3VC5Cne3hzz2J8xDqqhtOJLzZ1gzbJNhwGfpUqZ+/uBF3M/WLojfLDvGmqOlf5GfM53ylP2HZ0xEHqYUixMOJRMnhZTUt9hIBK/ZRqWPEgds2Ye7Imk4rIZua/Dwk3htu6EEQvFsquHGysGO7d9G3JWTngQL4mE8/n82vgp31g/HLT/T6oZgTCc1yMuyhGHsdu4Vm3C3Xj9Ejq4L8FctflQxsr8mnm4H04W46AaTpcS/dIG0G+EnjDsVDQE9LNyPDRgD6M9ieydlgLarsk6DnsIWWeF5zVE3WnlINpzWeVcVjl0nti98soF95aUBrybKd9Vmw5fB7c4MpUJXgrwfdDv6+iFCeEzcDu6vf7MeJqhi7vFKZaUtfbr3Xjr3wce4dyP/i1r7fKTGAcf+/ieY7yYwEAjMbHA20toBcZ31nZx0g6qltB3I//Wgi09bGCRsXVuSQCNhMrDJBadGzCAgChpSaKGsg5d4xMX/PelC4jGCKwVlNv4/2PvTWJty+7zvt/qdnu6e273unrVF0mJlCmRVhJLguEWHiRwBkFgZJLGgDPLMLaRWUYOAmSUDGIEQRIgRpCJAWXi2AkQGVBjS5ZlkiWS1b9Xr7v9aXe/1spg7b3vK4qiI1eJEWFuoFD33f6ee+7aa33/7/t9lBuNjzwi6zDLisP5noOkHLkb11nG5dM5RRHzpNXYTuKcJM1qXl9ec5gWZLphVac8vZ4TRR3fuPOEdZPwbD/n2WbG/XlITiocx/GO08N174cOlWRSeK73wYYphKcQEWnU8uX7L7ifrUa72beu7tF2CucEs7wJg6w24elmxtvLUAj8ZnbB925OeH5zgpSePGmIdUfRGPZlTNcodGSR0hOZjqbSNE7xpFjwvYtTJknNSb7j4+sl87TiJNsyMTVFErGrI9pYMckqpPC8vzmmbA2vza77guRgLVy1Gc/LGUUbUduw4E9NReMCFnbgsNRO82l1QOM0B6bgYRQojq1XPG8X3I1WfFQej+GgogdYtV7xpFkCt1rygd5z3s6AkEh8VB6FRiPdYqTlLx5/j1OzZu9i6h7YNSwomWq4aTPuxGs+Lo+DZNQ7ig7MnotmyqZvcKqd5msHz3h3dZdvbe6T64aTeMtS73klvaHsbY0TVfO0WjA3JYnqeF7MyE0zsn6G4e3wc53VM3Jdjx56CLbOVDZs2mSsuRtuAMM1WBlfXuQhlJsvohLTl8YMIa6ws75lz+QqoHEH3MEgpWhh2XYJkbLMo6q37oY5UKqasa1ocMwAfbdrSNXOdcgMAGM4a/DyV87ghHjJHnn7WDgvMdJ+7kSp9yHg9JN+fVE79T/nvb986d9/C/i/vfd/Rwjxt/p//03+EMbBj/rEfvg92eB8UYXEGUASdt1e4JykazSMoSCJbXtc71rR1TJIN63Aa49L+8XcAZEjXVQYHSb3baPHUJF3gqY0+C60KSE83njILDrrcE7Q1ZpNEVqAZlFFpySvTa84m675Fx89gKcpZi9wU0d11/PR1SFZ3FDUEc4JTuY7/sKd7/Pu9u54DL832zAxNc/LGaRhd/rm/HKsGyviiKebGZtNilThARLC4wGZe87KGVI4DqKStxcXvM8xV+uczkrSqOWiyFHS80YWJJPv7e7QWYUxYcA8iWs2Vcxml+KdYDKtwsnFO1qhggwlHS/2M7pOUjSGjU5C+rfVvHd5QqQ7mk7TdRKlHJ1VAfSlHKlpOSunGJmNN5/aaWqrebGacjTbk5saLR2Rqim6iKfFnH0XcTdZjynSQf+eynIcaCo8b6fnQLC6Heii1+FX3NFhgX7SLElkS+0McV91d9YG3GuqGnIddPuJqnjWLlB4PiqPx4j8MA84NPtxODfIMENACeBeth4XzIkKNYQHUcFMV5zXUy7rCes2yAuRsnxpsmXal17/zOw5HxVHzE2oIUxVO0ouj8pDaqd4mN6MNsGXi67jfrbxgzv74Xq5qHpY7PddzLaNiaRFC4dU7fi5A8Pd0fWogEGi0Drc4AYeTWkN+y5wkSLZEanwmNw0KUS3O3bgM+1MWjrqztA6Nc4chsftZbzxy5fC9787N1pKP+/l+SP51P/EXn9c8stf5dY0/z8TDPN/kz+EcfBSUfUfuIT0COFDRZ32uNgj2r4oo5OgPXXRDz69oK41QvQ7/KzDO4MsJbIT2NThE4eILL7QICA7KKlrg7USZyVdEaBhAKILmFAiBwdNcN6klihrmGY1623omix3MY/ckvWkYBKFAMeDbMXhV/as24RIWn7n8UP0d3LUHooE9q91LO+veHsevNOfbhdUjeH+fM1BUrBpEqyTXNXZSIUsuoiqM/zc8mlI+R0c8P7VMVI66jY8Bqsq5WqXcWe+HTs+q8YwyWrqVlNUEQfTgncOLvjW+j5vTC65n644vbsZrXqdl6S6xXvB6nrCfp+QpA3FLqZrQCpP0RqaThNHXRj+VjHlTUpV58iDhooIfx7jlcdHntKDcAIs+MgTHVQsZ3sey2WQiJqY5zcz2lpjp4JEddxPV7cecGQgRLY5qQp0vkw2nLczPrFHrNqMr+TPx930XBXEtNTCjBCoF92cy3ZKJhsOdG/Js6qXAFKOo4BryEQYvEai46YNjp5c13wlfzZ+/sLGTFXFdZejhUX3xRStD5TBB8kNDsG310HWmumKWRwkr+Nox0m85VGx5CAqOY5C8njXxSxMwaNiyRkzvjJ5Qe2CK2dwjtQ2onZqDCqFXXeQUpAQ0/XJ0luk7+A0GXbsow2QsNAOM42pqcfS6uEahtEDCAxCxV6sAl5geN+AwQi9p4P/P1fByVS4iLNqynG8G3f+RReN5RtD+Gumy5FVPyR2CxeNw2nXu6OG3T0wWjVbrz53+Ch8vp9q6hCWvX8ogkn0v++jsqcvLdQvgNP+5T+MZfCZRV0I8TeAvwGgDhe4QiMBvZPIBtpZSJgK43CdwFcKrKBL3O135IFOIptgp7Kpg2k33iTIOuKsRUofduRVBLVEVhKX2eB3b0PwyXUCbwVm0UfCo/BETtMGn8L2YkJVKS5aBQdhMNU5yZ10yx21pfWS10+u2P/KlrPrWTgJ7AxKet69vsOTeMG2TNif56wuJ9y7fx1cN1XKuk5IdLCbVZ3ptcuIT6opE11zMtnx/pMTfCeRUdg1zbKKmyLFOskiLlnmBZsqQUpP14mRxjcxgfGd9s1MDsHUVCjhuSgnzNOKn3nnjKIzPNvNaeqwS1PK8eJijqs0OEgPyyBTRRaMw+415lpjH1RobftTVH+jlYHh09wknNWamyQjijqq3pF072TF24uLsdrMOTGySYbYe6icCx2jUnjmuuRutKZyhrVNxz/6YeFaqIK9i1mogoUqaPoShyH48qQ+IFUtT6sFR9GOh8kNC1XwrA2l1Kdmw1QFj/mlnY4yyGU34cP9MY1TnMQ7dl3EdXMaSjd0wUfFEZluxxnDRNdUvYvmQIcyk+fljOfljK/MXozc8Vw3nFVTSmv4+fljjLTsupgX7QzXp5I3vUsoUBJvd/Hh+e9G3gvcumYKG40QNwgM+L0NbqG5CeyjZRQCUsOuf5gXDI/1ONsQdvw8YSOgWLcJ86HvVHimpiLud/aNUzzeH3Cc7MbqvLxHLNROs+9lsuH7HeSXq/aW79J6hdWhkAMXvv9BY4/lDzwG/wrXF2lp/P/z+iIW9V/23j8VQpwA/0gI8b2X3+i99+KPmArobwx/FyB++IqXewUCuolD7SVmLakTF3bqBCaMKiV+rwJ1MQphJGFBtgKbhGGrjixR3NJ1Ctsp6sJQ2TgwY/oya7dow+IjPDLrEEA6aSg2CbaTREmHVpa6tzEKGENPtlbcbDOYwq6JuCwnPJzeIIXjQb6i9ZJFUo7R9y9Pz9h0Kd+5uUsatXz9597jw/UhF6sJVzKnvk7DM017RGRJJzWLvOSj7SGtVURZx5uzS7r7kk+eH+JXETtjiWZhMTtbT3EzwVG6Y1MltK0iT2umUc1VlSPxXJcZ/6x+ha/deU7RRayqlKM0lF+fxFuMsKRZyzyq+FAd8exqTnOVBPnLAcbTNOFpJKTHFQpZKmziOTzYcWey5dHNAWVluLfccF2kNFpDDs3znEYYmlmH95BMgtb6ZL9gW8e8tbgck7JWhsVo+ONPVcPzah5gZLFiLVO2bUKsOt5Kz0c+iBEdlTMcqp6QKCARLZftdNzBSjxvJhfINOAKEtHyrF1wrLe8Gl2ytSl7F49Y4MKGG2Rhgxx03YTUqhGOSVSMz+OvTF4ELG9xyItyyp10y2Wdj/r5abxl1vvxB9bMtku4qTOW8Z5dG/Nxecz31ycYaXljekWq6p6YeLtrfpm9HkJKAfUwBJegXyj7CP4wCH1ezdi1MYkKEpiRdvT4I8PuO5Kh2PumSZmamokKslgi2xFxcN1k7NqYZe/HDxJGSKhmumGqK/ZdwFA83i7ZdXHolHUaqTyrNjiJ4NYRNQShrpt8ZNpr79jZePSzJ7Lt7YzhNPf5yS8/lV8A8N4/7f9/LoT4+8AvAmeDrNIjJM/7d//DGAd/+CU9btYhopAMtSJCl4roQtEcEYJITuBMAH05TVjQ+wGoTTyyBYfClooiMT1GoF/4WwkOfOwQsUVqj5SOKO6Q0tG2mth0zO6sqBpDErUY6VCyprGK8+sZSM/iYE9RRdS7mH0UcAIDzjSWdgRiLXvs7nAMTVXDL598yLQvEDiNN7wb3+X5ZsbBq1dI4VkXKU0dflXbKmZHzEFWsm5Stk2CFo6Tow3bPKHcR1xvMpKkZZLWnGRbrqo82CGlp2oM7z89wTUKlXbkWbhRfLIOQ8SyMcS640AWPN4vmUVB0x3KtqOoo3IxPraYrEWbYCPt2qC1T053NK2mLs1YRn1/vqaeaM63Yfc/mW344MUxftayWO5ZrzKoNI3WXJGjlONosuesDLJA3WmUdKS65TTdsuliXlTT/vH1PCtn445YC8t393fpvOQk3o7M7k/bJZ9WS+5EG5b6FoG7szGzfkA3V4F3vnXJmCZ9t3zAi3o28s9PTaAwXtuci2bKG+kFpY3GmrwjXfFOEmyU3y4ecFlPkMIxjyrOqwnOC66bDC0sd6INE1Xz7c09Mt2wjArOe3pn0UXcSbd8f31C1WkOJ4FZE8mQRJ3oOnSs9lq5xGP6xe6mCzLa3eTWOfKyh1sJR+1CuCjpB9JD6ndYMI2wOBF20es2+cywMxUtu946OdUVm4Fj1OvhtdO4l2ShoHs7jqMdi2XJe5uT2+SsV+xtRK6akaczpGRX7STw7vub0LCLDj9rNy7oRoQTwxfhMf/XvqNUCJED0nu/7V/+y8B/Cfwq8B8Cf6f//8AO/qGMgx/5RTyBqCjAdwI5a6i0Rq900NaNHxdkVylEK/HaBRaL9CE9ikSVAps7RKUQljAsNW5MpULYaXoXUpU+CthfpfpYsnRkeUFrFZMoHBtXRUpXasykIYtaiipCGktZxCjhyeKGs2I2yhpahqN15xSN05zbwL4+indMVcVlO2FnY5ZxgZ0GXfu6zPAeppOS7T4MIwEuXU5sWkw/eKwaQ2xaGq3pao01ljipuakzztbTMUJtrWQyrVjmgco48OIP44JPdkuuVhOedop2ppjFFWfFbLwh3RQp1T4s7mqlaTvB5O4mDF9XE5TyKOl4sFyxayL2dcS2ivumoy3bOqZsNQ+nNxwfbJnHFasqxdcKNW3xHurCIJTnRjruz9dclxmL3lnkvOB5MRtTvFr2TJF+INc4xQebo5D0FY6zcsp+ErNqU07jzVhQMtSutT6UT8xVyc7GPCoPWZiCk2gzSje/mH/IKsm56MINZmUz1l1GpgJlM5M1sWzZ24hYWj4tAg/+1Gz4WvaEdZwRy5b3y1bXLsgAACAASURBVFO2bYzzkk0Tfu8HpgjWzF5Xn6gak1s+3h+yblJu6kBrvJtvxgVt38UcR9ux1GOw+Q1y1dCVu4jCzzRYTgcdXeHG4u7K6rH4w6jbQaMSjtapnt9ixs3JMBQdBp6tD61Iua6Z9pgB2fuNB618WKAPZEDtSu95JV+xbkM47jjdjbv0VZuOxd2bLuGyycf08kDOHHz+gZ0UOovD71F8Qe6XPx72y4/z+rw79VPg7/fUMQ38Pe/9PxBC/Dbwvwsh/jrwCPj3+/f/oYyDH3m5sBP3nkBftAbRCezE4YWH2CF02MWLrMPtDBiP0DYs0p3ERw7f6uBckbfHNJVafGLxPTcmSsIdXwhPFrc4D3Vrgm+9jJlPSoyyHCU7nhdzdvuEaNLw8OiGbR1jO0WUdFSbmH3Ppmk6TdVqrlQ29p7O44qDpCBXt7Cl6y4nk81YniHxPN3MUNLzYLEO9XzGhgBRY+g6ifeGVrnAgveCrtO01e2vtHOS69UMa2Vwx3jB6WJL1vdnfnR51DOqPds24Wqf0dUK20q2ccS9fE2iWtZ1yscXS5wLCVyUx5825FmDksHGeTjfh4BWX/p9mu3oUsnj1YLaahyCX7nzIe/vTni2n/cLVfDQT473THqCZtMpjvM93gs2dUJrJcu4oHGKg6hk30Wh3CFqOEz24wJeWc2mSXhlcsNM12y6mFlPfJQiECG/nL/gQAfv99YlZDRM+uDRqVljpOXj4pCJqnk9Pued6IzKB2LgsdqEQWs3G6FTIQTjSVWLbQS56uiU5Gm14Hk1583sgtpr2jb48jPd9DV7O26alA/3x5zGGw6SFTdtWMCH8o+qX0zrTo+Re4vk0+KAmdbjAvsy9RDCon+v/3zOC0oXja1XQ0lH19MnD+N21LXDiaUaEQxn9Wwc8t9PVuMueFhUi36nP7DbB/fJQG98+RqGtIHR3o0s96KLuKpyLvxkvGmtmiw4Z6Sl6gz3svVYBTjcQCpnQPYQsX6+YYT9/JTGn4aPwHv/EfCnfsjrr4C/8ENe/4cyDn7UJSuBjfoau1oi296uGoGvZQDPGUeUtriFpat1uBloh4wstpV4RcD4WoFIuzBYVBalAhe9rTT1PsI7gUoCM32S1iPPRStH2ymMslz2hQEnyw3TqKZoIy6upujI0tSaxVH449lsU5S2Y+lz1Wl2VTi2XhYZR1nQX7+62LPvYp62C3Jds2lSys6wSMMOt+gidioiiwPatqiiEKxKQ2Xas82Mk+mOy13enzYEbaNZWRnKQASk04p7i7ArL9qQdAS4vJmGJG4/I6BWUEv2acxVlaOkY10ndJWBvUaVwVpqtcclLYdZ4MQAHC52zOOKbROHkwkwS2rqTgfWDaGGr+k09/I1jQuPp1YunBomWya6ZhkV/POr+zSdZpFWQUpJdtQ2VKyFwV9fN+gkTga3zK4Nj+1AYAxH/i0HZs9Nm/OoOsTGkrkOj/tEVez6pqm70ZpvZB9z16z4/eIecz1h/wOtYQtV4AgN9o/rQ16PL0hEcyuB9DvcWAZO0Hk75W60piDileSadZci09CUtG5SnreGKtfcSbaBg9577782fUqbaz4uj/hkt+ST3SHfPHjEZTthGRUBayBDhL9wUeDleE3lzGdKMF5uaoI+3CPtCCObm9sT0MLc9rMWLmLdJtxJQi1f4LdIkLfo34mqQcFFM6H1twiCl/3wP0iQBG7LNIRjZipOpluum2y0WF5UE66qcAp7e3bBcbTlqgnPr1Q1o01zSKEOg1Ipvhjh5F97+eXHcg0+7EYiGgGyxwTELrzNhyGn1KHSLjYtG5cFJ2LUe8krjc8sIrYBEVAYaCXOKpKkCpqwUmHIl3bgBXVhaBtNllfE2rJMC3ZtRNVqjIw4Snccpp7TZMvvXdzn+HDLtoyZZBVGOc7O5sR5Q1Ma8lnFQVZSdTrQEouE0/mWpk9Vli5CC8vzYsa+icampdM0vI8UjoOkDDvvMhv95NU+Cmjh3la4zAuaVlNdpHQCEB6pHUnWkEQtuyais4qmU7Sdoi0NolB0kSM7LALYrBX42HEy33G+C3TGso7wvWxl5xZRStRGUSeGp+s5ZRmRZ+GP7ZXpin/j8BN2XUzpIs6KCafZjoO4oLaanz98yotqStEFfO0yLzhM9sz71OiLasbehse5agxfPXrOVZ2HgZ1saL2k83LcvR0nO9ZtykU5CUNTp5iailQ17G3MSbQJ3G3DWGKRy3rsvsxkzZtJMS7YS73jL87fZSYrGq+ovMEh2bt4rFfb2YRTs2GhwgJ7oPeso2BvLTpDntQj3rhyhiO9Y23TEJzqyyYC88TxdBfgXbPeNQLBOfK8mvNadsW6TbgoJzyrF1zW+YgumJpQvjyLSmJpudejFwar30TVo4RkGfzz6jOL7vA+RtlxBz5IM3NTMdNlsAx6/xkqpPNhp15agxKetOfuZISbQigsCSeEfPw+5MirCUx3x/00fM+ncXCMOS947uecZltWddqXqGtaLzmOdqP0k/U3wGGBH1wwn3dQ+lP3y4/x8hpkKcPQ1PgxBSq6UIwhGomLJD4JhMA0q3vJIXy8ii0+gjQLT7oobbHGhR16q9HaorRF5AE3HSeBIz4w0q9XOWVjOJ7uiFS/oNpQqHxVZyzScqwlezBd8enmgMVyTxK1nDczZmlFZhps/znfPnzOSbzjRTV9aXDmmJqah5MbXktDSnLTJWy6lItqwsTUnBXTsNiVQdrxnaQrNX4quClCO7zWFowPNk/lSZcFSgWvelmHm4CnnxVHFjOpyZIGrRw36xyvPUSh03VfxPieaGmuQ5NNJ0Ed1cRJy/4sp+upmJuzCVhBcvqUI71joqreLeJJdMtRtBs55HNT8eHmiDv5htM0eLSfFnMgNNhvXcw0brg73XJV50z6mrh1lzLTNZU1bJpkHO59dfqMb/mQ1BxahmqneT29QOFH4uKB3pPL28XuebPgd25e5c3JBb8weYR1AiV8r9dKJI5rO+HXVl8iV02voYeB3jfyT8ZdcCLasVhC9lLWo/KI0hrezC56/MAB3725g1GWeVSyrkPy8s35FRflBBk5HiSBdTPXJVneUNhQJXiY7HlWzDnsHTEP8hVTXXESBT38pst4Vi0w0nIcbT8T1Bl2nkOYRwnHRT1hERXj7niwC+5szLa3L05NNXJhlPzBYI8cG58GKWrQwl8GnpU2IACOo+1ndvFG2HFW9TLYa9NDxk7i0Ez1/u6Ex/uDYPEsZjROcZzumJuK475wZICQTVU1/r1+nuun7pcfx9WnO+00eKBpJbKR+MwiE4uUYSja7Q3FVYaetEx77VtJT9fryVKG3UakLZXQKOVwLsC/5mnFXka0VoWhZFoTqbCDWZUJQoahZyilDkO2xiqe7YOlLpJhl/Pa/JpIWmZJxTwqebJdMJuW440gM+GPaGB7a+nYtTGXZThePpisOIp23HTZLUPaKc6KCVXPbQGIk5auk4jc0ZYGdxOxtWJMl6qsC+lXJ6iraHzZ1Qq51qgquIN8DPVR0xd3h+9RNBJRS/bXc/ACH3l0JWgPO0QnUXuJOPRh0HokmecledTwqRPcP1zjvOQfXX6Fp5sZbx5ckZuGxoad26aLx6KQZbIf/dFaWu4ma0obcd1kXFXBmzwxNXNTooTvGe5BUnFesG1ikrTjrAzOlJ+bPWXdpcx1OVIKW6c57wLL5G60YipLChfzqD3CITjSO96enodQUzfh+8Ud3kgvMMKytikSz1LveC29Ct5o4Lv7u/ylg++Qy3qEU0nhmaqKShjmpuJush591gHPG+r+vrp8TiQ7PtkdkuiO1ybXpKql6AxVD9S6bCZcNhPezC6IZcdpsuUo3o2lz2Vn+rlLxD+9eY2ZqULQSNrApRF/UM8GuGimPCkWPT9dcNrbVR1iDBYNieXTeDMSND9TKP3S51M9W35InA5J0zEJKnzQ6IVn06VjWcbwtuFqvRrDZUN5SOcVM13xc/OnvLc7obGa02zDro1Z12nP3Nlj/R/sZ/0810A//Um//uQv6sLjBWD6gWhs8U2E2CtsHYJCcd6QHvdHsTIKceyspHUS6wR50tBZSWw6MtPSdDlaO7p+Um97vIAQnnkWaIKNVSPLJVluOM22RMqOqFGAsjPsG0Ni+hBGO+frh09ZLvas2nQsN56bitKaYM/qd/QAkezY1HNWZUIWBSreZTNBC8elnTAzFZfVBCk8TadYlQl5HE4R2zKm64JTRB402LVB7BQ2d/jUhtOMFci8w9U6MG8YpKvbPyp9FlEVmui4wJaK/Jmky8Lj3k77xyd36LWmO2xRxwVNZbjYTPjG/U+ZmYraav7y6XeZqIraGX5v+4DnYsbvPnrIO/fOSFRHLFuOo5a7yYbSGr67vhNKhHXDk20orM50w6PtAfcna3LdjLv7ISD1SXHIIgo68MQ0PMhWnNcT3l3fJdMNuW7IVMNcFySio/Kas3rKO/k5T+sDsvS23ehZteBgEuBcd5PA2bkXrwLcy6ZcthO+nj/mSbPkcbnkNN6w6jJeTy9Z2XyUcJyUrGy4CQ+Du2Eh+lOLJ+Pr76RbprrieTUj0cFfHRg0IfiVqJbn1YzXsysKG1E5w3u7E74xf4z1kjUpmyblIC4orRldQKsmRcaOV9OrP1ApNyROr9qcxmlOky3PyxkP85vPIAQKG1G6IOsMdXaDrfGHXS83FAGjLDIkROF29z9RNU72i72QY02eRbLtElqnmOmy/5o9fqD/WCMskbQcRAUTVTPTNWVk2NuI59VsTAAbdduo9Hmvn8ovP4ZLWBHsiGiYt7hGwrRDX0R0E4u4NrRXhmrZEucNcRLq6YYjYyMCk30AX1knR8BVljTBvugFWdQS6xLrbktvI2mZRDXrOsF5yaqOeLaZoYTHaIt1IsTMG0OeNAwl05sm5bLMOcm2HERlP+k3ZLrlyily3SCFY2FKJlHNi5spv3z/Y2ob9MOzMkgRXd/RaY3kxmcURczDxYpnmxltG246MuqwncJsFDb2eOWhFUGaSu0oQQ2nHD/tcMrhrUTsFclKIrykFilmpXAR1Kdhp48TyFLiIk/XB5oOpgVm7nhzfjkGX2LV8UFxwp+efczj9pC7yYYH91eYV4KbZNkf9YeB3vvbY1qrePvggtYp1nVCbmpS1TKPK7RwHEW7wElXDWkPgHorO+dRdchU15zEO1LV8Gp2zdNywbfO7nF3vuGmzrgoc+5PgnPnbrIhli1HxvK4PmTTJbyWXPF6eslCFSSi5Xm74NdXb5KqlqmueLxfclnmfLI7REvL1+dPiGVL7TRTVVG4iKftkoXaj8f1WLZULgwfB3tf6xSfNktkXy+366I+vu9Y1XMmpsYieT2/4lGxJFEtF80Uie+r4Bq+vb3fw7dCwOjtySUf7w85Sbe8mV2OnvThGmSOQR/fdEkfwa/Z28BlGeQQAF5qUUpVy6aL/8BwE/hMwGkgJw7l07HsxsEt3C7og7e8cBFNz/aZmmqUqbSwLPqwVvDDpzRWj26WgaOu+u9npsvx+3xSLDgvpyQqDKVPkh3N51zYf6qp/5guL6FbWNReYougE4vU0S1baCXJq1vKfQylwiUSHbe0TlK2BuuCO6IsYqRyGGUpG01TG5QO8sxmF57E68YghA+FEi4UUCyikkyHxbrsDPO4ZJvErPYp+yJGyCDrOCcoG8MkqXnvJtSZlc3g7/W9xOD4ZLMM3Z3RZETbPl3P+aXXPua4b6jfdgkkOyY6aPBrUjrfBStjEbGpEw7zgqox1KXB1SoI3YnHzcNjMkhWuL6S0gX7phVhvpDlFftdgqskXerpZg6zUbRLSxsHK+jR0ZbOSlY3OZSa/GTPO0fnHCe7UMLRJlgf/MKbNkHiOU9nKBybLuVJsSBSHe9fHbPMC755+BglHDc9f/v12RWrJmUZFRxlIYn4649fZ5rV/JnDjwDG4eBJHAacv716NXDAo4KlavjWzX2mUcWbk0vefvMc6yWfFIe8PT3n7fQMoG9LirlopjwrZ8yjit/dPOTN/IKP6+MxOv9GdslclxzpLQemoJiGsuYjs+WOXrOyGS+YjzvIy3YaUqAy7Hg/Ko+5bnNO4i1TVfFO8pyLbkYsO/756hXuZWsexDfUXvPPV6+Mfuih6eleuh5BW3NVjovz+8UJd+M1F82Un198SuUMJ8mOTZtQOz32q7ZesbVJ72yJkP1jLYXnKNqP/PGh0OLlK+yIOy7rSWhO+gGbZHgqhfTtbSn4Sy4Yes2+v09YcftxRloygs1Ri3DzGf4uQtFFSIbubDwin1/GD6jei28JjUi6d+/MopLT/gZ5Xk94vD/4Qqrofrqo/xgvF3tEX0ThOzmWWtRVhNSO+KgO2nBvj2s6RaQt1oHtAqhLiOCQcZ1AaVjvErS2/QAz9JR2rUIrR5aHRXeIUaPgps6YxxVNpymAuja0lcRbSRy3TKKGy11O5yRdp9jVEUrmdE6x7yKMshzmLbOo5LrO+XS1YJ4GrXaibjsiJzpIM+s2ZdfGbOoEo4NzB2BdhTYj7wUusjTrAM6Sa4PLLdFBRXuRQu/RR3kQHtUPNRPTkR9uuBAz2tSiIocrEvRG0U2BPJRDG2XJTlfUXXia3PRwsSHx+HQ3H334WjpmUckyKqhdQPO+f3nEg8Waj86O2DcRf/buB7ySXHNo9vzG5RuUnWETJ9RW89b0gp955wWfFId8a3Ofr8+e8IvTj9hmKR9Wx/zGi9dZpgVvTS9Hb/JxuuOD1REfXh9xNNnzp5eP+HMH38OIDtWDwCLR8cjG1E7z5ekZhQsgqSGsc6CLkBIdfdgdr8cXnLVzvr29z1WUc39+w2vRxbjQ/Yv9K/zW2Wu8Nr/m31x8zO9uHvLB6oiHsxtqozkyLb+3f5WdjXkjveCvHH+Hyhsu2ykXvT3vMNkHrkqXsjDhMXOI8SQw7FQfptfctIFmWTnD9zcBo5Tpho+KI07iMGg+L6ajZz5VDdsu4Sjej4PTYcMw4I6Hhb3qm5m2fb/tm+nFuIt/eWEfPn7A8b5MfRxuUGOi07txsX55OGr0LdNd4tnZsKEa0AW675eVwt/enPoTgsIRqzCjGJEMPbLgCIGNCvQPqff7o1w/9an/uC7pQXq8JiRIaxlsjJFDzdqghfdSi+i1Z9e7TJy34anrAeVpiohWB+lBSo/tJLaT7BuNa2XQp7Wj6AsdWhvAqrXSVJ2m6RTTuCE1IZjkvaAsE2Rk6bpgTzTa0lSKujR0rRqlHCUcedTwpdkZnQsUvYf5DVF/dD1vZhzoYrSYfbg74rofGErhKeqIujDsE4NzQU7S2gaOfC3xOiRrVd4Sxy2NiUFCmte0rQIvSNKGxAQkatk3Qx2fbFjvUtrTGjYG0XNwrtY5URRKP7pOkqcN+yZiXSYoGR7n7SYlm9TcnW9Iddg1/d7VA/ZNxL6KeOv4ktfyKx5ObnhazPm152/xC8dP+J3zVzAqDOz2bUQkLSdmyzezj3D+K+xszD94/jM8mKxIVcu713f42cMXHEU7jLCsumzUwtPDloUJR/gvp8+ofERhc6aqpCUQGAccQ6Yavp4/4rqbsLYZCS2nJoDApqqicoaP6xMS2fIPXvwMv3T8EVNV8aKdY6KOTNb8k+2bvLu6yxuLK46iPVsbKu1+5c6HXDYTPtodcWR2TFRNphrWXcanXcKqzVi3YR6ziAqU8DzZL5B4FqYYTwkWSe0MWxtQBZsu/H9m9ly1ed8GJflke4gQfhw2nyShKu+qzSltNJZ5DLv4i2bCTZ0x62Fagy4e/jPkumbdJlTOjDvtYZAKfdVd73Z52X8uhR8lmES24wL/MgVyaDkasMDh5XANgLEO2dslZd9o5UYHzUIXY4I10Co9RrWj3XKo5fu8iVL4qU/9x3N5MUb/8SLIL8aCF7hOoKPgYmnbsMgO0koct0gBzskQyNlrfOxACKI8aLRdExY7Gd2mT6OsIYvDjrjud6HDcdF6QdXd8qSVcqi0wxYaG1nO9xP2VUSxSsEJvA673W0dEylL0Ubss5h78WqsBls1KV+dPiNTNc+bBaWNOK8nnBdTylYjBWhl+9IPzfXzOTIL4SlfKdROEhWC+l4LAvKsZpLUtMtQzjFYx6yVxH3NX9ejBkwUduRxHCL63Qx8rdAvIpw21FbQHbYI47BJS9cYyiIOC1xSk2TNGNHftxGr6piLzQSlHLHpOIz3lDbCSMssCqnX765OuTfZ8KcWT8L31YOZvpQ8xyF5LbkcHQ1DKvPr0wD23NqEX7t4m9zU3ItXHJnd6HY5NRveq+7y3u6ERAUOzKvJNVNVjc6VA73nSXM4BnaG6PuZnY+Sw4Pommub80vHH3FqNlRe03rNygbPuUXy507e40hved4uwu5a1xzogk/LAya65ryZcj9e8aQ6JFc19+MVtTO9bzukiJ8Vc740OyfXoRtV4vmwOuGsnvIwvaF2mtYrLuswMLed7HfiNR/vD3EIfnb+gst6wtRU3I9vWHcZryQ3bG0y/sytV1y2oYlo28a8Nrka/7SGhTJ8Xy1TU/NpccDdZD0GnGqnR1bRcJLcdGlf2NKNPvTOSQofjViCYHcM5SdSOKTyY1gMGcpfXrZBQsA85L3c2TpB4zRGuLFHFsJNYKqDLj/cMIBgcf6c67H3jPmHz3sJIf5H4N8Gzr33X+1f918D/w7QAB8C/7H3ftW/7W8Df50QK/jPvPf/Z//6v0IoFlLA/+C9/zv/sq/9J39RB9RW4o0I9EUrQItQUycdUjlso3FeUZYG6qCtDynO/U0anB+xQyUWE3UY01EUMexMkBqUwxjLJK3RyrKrYora0LaK5SzsAsvG0LaanZM0jWKa92GRPvwkhOd6nWNrhagUelmhjWW9zVDKkcQtWln2NhqP18NO5KbLaL0aj9afbuYUVUwaN9RWsitjqk08nlq4iBHHNVhNtJI0i8C0YdIxSWoS3THNKjb7hHuzzegw8T748g8XG7R0FFFL02lOpzuKxLAuUsrrKd1Bh9oqukUXWDk7zf4q1P9546lSQ0UKkcNOGq57W+lun9BWGhVbfuH1T5nqis4rVk3KVZXz9YMnvJmcs3UJn1ZLXkmueVHP+aQ4ROJ5Nb5kofZ8XJ+Mxcy116ybA767uUPZGd6YXvKlLOjlUjiOZBj6PWmWPIyvmOuC/+Ppz5GZZuz3XEZ75rrkvJ3xop7xanLN03rBl7IXPGmWYcjpDbmo+V55l0/LA5ZRweMydLQ+SFb83jZw6GLVsbUJ1kseRlf8fnGPx/sDWi/588sAKH1cHwJBQvt4f8hcl9yJ13xrc59tG3MvXXMQF1w2OV/KXnDWzkIfbX+T+rA4JpLd2Dc65BikcCyjgncm56zijCOz48RsMb0GPSzkS73/DD89kw0P8xu+10WjBj4wy50XpDJUGB5FO87qKas2C8nmLu1BZWGI/XLJxcvumWEHPlgaJX7saE1VSyqbHg0QiIw7e1vgEcuOwkdc94jdo2j3GQlk08WYHjEwnA6GQetAbvwiry9QfvmfgP8W+F9eet0/Av62974TQvxXwN8G/qYQ4meAvwb8LHAP+L+EEO/0H/PfAX+JgCn/bSHEr3rvf/9HfeGfgEXd0y17760VQWoQYK3AGYH0AlcpaCTCC7wJnaNNpZHSYbKWTit8qXHa4Q0U+wR3EyHmDSbuaBtNkjYI4VnvU5pG4/uijLrVzNMK6+Qo6xgThqyR7qhEBNrT1hohwaQtpC1drWlXMUQOH1saGYawA41uiEZXNtjuLsWE03RD4zSXJic1HXWn2ZeGZhNDJ8hO9ijl2O/muI0JYDIDLvFMHmwoi5gXl3MW8z2LtOLBdMWkd5Xs25jc1HTTW0mo63+m6yIlMR1lEcFhDU1AHetpi72K8dITXyuqex2ykKidwk4tMrY0q5jrXUQ8rVHa0SnPcr7nw/URX16EnehFNWFbx70TIkCmzuspcb/oJarjH1++xTeXEUu959vb+7yZX/Dh/pjfunydry+f8POLT0dutkXwa5fvsIz3/Jn5h6Mf/GlzQCw6/tPX/nEvpRyzs3GoyqvmHMU7jqMdSjhOoi07myCFI+sXtV9fv813ru/w5vwKLSxfmz7lUXnERTMdGSeXdc6uC/CueS8LfP3gCa8llxQu4l9sX0HimeZhN/lqds2j8pDjaMur2fUYbd93MV+dPqP1ius2x0SWTNVs24Rp34yUq4ZtF4+M8tIa1m1KLDuOoy0v6jmH0Q7l3ZiqHGYFgRev2fYD1VS1LOOCs3oWdHZpR5ljeB4EmTDIKUu5Hyv7tl1wf6U912Woo6ucGa2MqoerZTLgfXNdj+8/aOtKOA6jHa1TrLqM0gWZCGDfRRzF+/HmAFBbPfbgDk6aYXFvvSKRLVNVsbVB3vr8K80Xp6l77/+xEOK1H3jdP3zpn78F/Hv9y38V+N+89zXwsRDiAwLtFuCDHsdCD0L8q8BP+qIubt0cscMnHtFLKb7QWOlBe0hCTFgai1QeqVzYrQtPnLVUe91z0sHWCjlvyKehECKOgruk7EFZArBbg8g78rhhFoc/qlh37OuI3T6h3MfoqMO2vf/bC1yhcEbiWwnaYQ4qkqTFKMs0bsaWo092h0jheLoPJQyH8Z6JqgMjW3a8NrvmyW7BpuexqKwj7WP4VWXwyhNdBfthl3mYtmRRyyKtWJcJ602OFGEY1znF8ybDKEvnFS92U+pW88piRSQt13VGZyV1a3CNIsobmkpz9JVLNkWCdQk+7+hyiZq2mMOOaheF34EN2AZaSb0NJ4k4b7i6nuAqzcXNlDRtaFrNncVmtKjVLiRCf3P7Ol9anLNuE9Z1wqZLeFoteDO/4NvreySq48+ffJ9Xo0tedHNuupwjueX/uflSH26pue4mTFU16tGXbaApLlTBV9JnPKqPuBGWDzYP2bQJX509Y92FhbEg4kl5gEOwbcPi+e8++BZHeksiW94t7nMckwf76gAAIABJREFUhS7RtU35t/L3UXh+u3ydqQyD7Z1KeFYvAi+ly/ja5GnfuZlwJ15TO8NMV8x1wR0dZI13i/vcTdYc6D2P67Dgn5o1lTcs9Z65DpV3121OrIJ/O1Ut+y5i24ZS6eH1rZd0TrHtYu4km1FSGfgujdPk/SIcq9uWopevlz/GehEAaE3OJK05NPsRLZzreiyqfl7NQwmG7IhVGIziHa03Y5hoIDS+7JoZErMvl3c7L0hUgItBH07y4ft1XoSOWKtZRgOv/RbBC4xc9S9CU/8jpFKPhBC/89K//27fA/H/9fpPCD3OEIqCfuultw3lQfAHS4V+ZP0n/EQs6v2ANA26N9KHcI30iNjjW4lKQpmFc2IsiZaqT4g1mm4dyI34MEwVPZq3KiPEkKZE0zQ6gKtEuFFI7dlUMakJA1kpAmtdSAde0hYRQrlQsiEFaIeKLDJtsV0owm4aTSs0r85veoxpCJ1cFFMEcJTuOStnqGyN9YKJqumc4sFkxUm2HSFVRRvx7HqGbRVi0dAYg14pEB6hPEVjcEYwSWoibdlXEefFNDhukj2rOuW9J6ccLnd8886nlNbw7uoO1kmKmxSx10FOSSQHpxvmccV6n+KNQ+iAZ1DSMc9LltM9zz84Jnk/obzfkRyVfUI3tCK1jUZElleOb/jK/IzSGt7Jz/igOOG7+7vMdMUyLniyno92vkhaDs2ema54Uc84iEqmpuKfrR8iF45Xo0uWasfWpXxj/ojWad4vTvjd9Svs2phfPvqQh1Fwxvzm5i1eTS95WgcM7tNywc8uXnDdZHxSHHI/XZGJht+4eIvc1PzC4lNi2Y5DRYvkSbPkbrRmrvacdXMqZ/jN/ds8jC55I7qg9YrGK+aqZJ4FHnsgKQYJ4nv7O9yN13w5fcbH9Qk7m/Cddsrj8oBNkzKLSj7YH/Nqdo3Ej6GoYbDbesVUV4HxLjselUcso4JNF7NqMlY99A3C4reISzqvSEWL8q7XwB21CzOPVDWB7a5aNl0odx5SnkZZJJ5Vm+K8ZBkFzvlQnLEwBas2C3KQDgz6ZVTgCK1U10005i46J+n6Oj0IMxPLLTNmCDYNu3YAHCxMGW763t+2HHkBhCLtpdmPSABg9L8PbqahDOTzXn+EQeml9/6b/ypfQwjxXwAd8L/+q3z8v+z6CVjUPV57RKnCwq7BZKE/01mBTEKroB9kGC8QxtFaESyOUUc7EVCrMEhtdOgnBboU8lnwkJd1L3NIjyh7vKyDrlOcb2/RoFo64rgLJMhW4KvwvrovJIiiwMqoCMW8WjmmSc2+jccYdmMVie7YNxHPdrNghbPhiHxWz8Y/iF0bs2tilHS0TnK82FG1ml2R0GwN8UrQ5tBsDKX0kEFRRyyyksVB8DqfpFtez654rJZkrzU8Wh/w2y9eCXJLZXjr9JKPraTqJHdevWJTJDycr/h0M6dax4i8xxF7aPeGlUrR2nH65iWnX9sRqY4X+xmX25ymCUPl2bQM5dqt4bIJWmkmG07jTUhbOs3zYsbpdIeRlgMTZIyrNudFNeOV9AZtHO+u77KISv7Jzet8nByz0AW/e/MK57sJk7jhL9/9Ll9Nn7CyGc+aA75X3uN+fMNlO+Hb2/tjMfMb+SU7G7NpE67K4N02qeWri2fBk24jChuRxQ2X7ZSpqsZ07K+tvszeRvzi/BO+X5zyG1dvcJoGANXdeM1rySUKx2U34aKZstAFD+OrES3wvD2gcBGnZkNhI742fcq6n6EEWUOQqRqFp/J6xNoODpPf393la9OnvJpe4rykcoYiiT5TGjHRAVmwajOum3xkwHx7fW+sAoxUTKpaTuPNiM0tbaA6xj4MQSe6obRm5M5DWJRj2ZHrW9bLQHQsXPQZacV6GdKyvQ3xZd/40Mg0pF6HxGpho9H7X/Y/9zDcj2XHgbltkhoGq4MtcrBqJn114ee2NPo/fp+6EOI/IgxQ/0JPrYUfXR70RysV4idiURcIK/BZz0tJWryTdLVC6vBLdE7gdgbRBMIggDSub+OxSO1wgK8UVigwDtmHbLR0WC9oKjNaA1Uhsac1Qt1WtdWVQRtLK4I1UmiHFyBricuDG0cOTpN+gt42miiryXt+eW01nQ96dm012zLmznzbEwsdrZcjlbGywWVTtgYlHfs6Go+G1krMWtFOPO3cYdYKt0/Z3wl9rE2t0caynBSjTewo3mG9II9anl9ltEYzn1RMTM2XTs65mOYY6fjZ0xd98YTD5C2Hix1GOp5sTpCx5XC2H3++ian59vndnuUuOZgVKOnYVfGYAvzW83scTAq+G93tm3tC0jI3zVh1VjnDgS6ofSDvFS5i06RclaHW7byY8r2LU7yHPGl4a3nJn12+xyvmikhY7ug1jQ9ukWO9Ic9rVkmGEZapLPleeY+5Lvkzy494vzjhqs7ZmGEIqEaGyUflMW+nZ7Q+6MRrm/IwvR4TlAtTQh7wsM92cz5UR2yWKW9lZ2SyQQvLkdnx+8U9Ptgecz9b97waz/NmPkb2lfC8moRFv7BBtvn9asFNndF5yZemYRA8UTX30xXv7U95kN6MevlQ8iyF4168Hsuav7s+ZVvH/OLJY55VC7R0fG36jBf1jLNyxlTXnNUzcl1zJ17zrF6w78Jib30YyOaqGfkrOxtzaPZ9U5JmY0Mv6nk9RQvHabz5zIIebjS3CAGL/MxAFW7BYgM3J1g4e2nGKXIT3n9w3ryMK3C95q36dVfimfc2YIX/Qurs7Bfkfvmhnz04Wf5z4M9674uX3vSrwN8TQvw3hEHp28A/JaRx3hZCvE5YzP8a8B/8y77On/xFXfjQTuRBZ13QxJ0YueEDrArp8VkI2sgoWBqLmxRbxWF4qjwitpgk9GFK6THGkkQtRR0CTFYFAmQ3sygd5JZ2E9FOQRtLU/Rx7HYIWfQNSioUUEjpaeowdL233I2L8MCIOc6DDFK0Easy4XASAhO7JqbsDAdxQecV58WUoi/nGJAGzgm8k9hG4W0vM6Uen1na2P2/7L1ZrKZbet/1W2u98zfvedd06lR3n5582u12bCeREyUhEmFKQEgRuWCQEAGJ3HGRCCFyESIhBEJISEggIpKbSNwgRYQkBGPkOB5iu9Ntu3P69Jlr2rWnb/7eea3FxfN+b9Wx+7QT98G0Yy+pVLW/2vXtob691rOe5////VGNRl3HKKtoJi3BQcHVckh4aLl2Q2LdMgxqvnr4lK8ePuX/fvwGB6koKd7fHaEY8Pr4lqCLrgu0I0lr4g5sNnkg7aGiDmmdJglbPlwfSMDC5ZC7D28YhDXXuwH5JqZpDHcOVqRxTahlwHhdDHlz9rwbeLZs2pi3VmccJjvOkjWPdzM+WBxyOhJDzflgzXmy5jTecDMZ8rXRY0ZGdNa2IylaZEMZ64IqCLluxdWa25g7kfDQ78YLccHalElYsKgyfnV+h89MboQQWU7ZtZFAwaxI8N4pTnh3c8wXxy8woeNXVg/4yviZHLRhyJ3hik2T8DSfdgPMhKQLBd+1EcOwYtdKW2IclP3G1TrDsy5UemBqpmHOtzenfOf2mIezBY+GN6y7nv/TMiU1NQfRjm0bs7UxizpjEpbcVnLjOIvXDE3JN9f3sU7zB08/pLDCQ7+fytd/W8ltqfWaTRMzDXPR7ncH0V6psq4TBmn9sUrYocBrjsJtPyCNdctNPeTD/LDPD3Ve9SHRe6fovrJ/NTSjd7O+0mvfoxZ0p3LZK3Ok0Hkpedxr4isXMA5Kwk5m6bymQX0qCvNPg/QIoJT6m8AfQ3rvT4G/jKhdYiTLGeAXvPf/kff+W0qp/xUZgLbAf+y9t93z/AXg7yGSxr/mvf/Wb/Wxf/A3de0x01qCGVrdDyYBkRPi+9BonCIeV4RdbmY6LSnmKXpnJPUo7JxyHc0w6CrgzXwgvWmnJE3JeLSxNEUoIKvIkQy7in8bopzq1DZIcMfO0DYam2p04CmLiGunqcoOR2AcSsHT5ZS2FbfpaFASBy21M33+5qZJCLW0b2ZJwc5EXC1GaOMwxsuwdxtIuynw2APJ+Nznjzon6hxrdRfF57lcjbg7W7FqEvIi4s3pc3ZtzN2JVHj/8PoRk6jkX7v7a4TK8n5xjA5dPxwed6lKIIEX1ivKXcr1fEAyqnjtcM5TL9TKYSQZqFHa4Kzu5hGCXXBe8dnxDW+vTvng+gDvdG+GenI7pW0fiEwtrXk8nxEEli8dXxIqoQ/e1EPm7YBQiQloGuT84/w1HkS3DHTFzsVYFCGOy2bCJMj5qDrqq8j38iOM8lwWI56uJtR1QBy0BEPHJCz6YaL1mtxFXFUjvjp92vNMfnTymNxFPIjnsrlEAYUNcV7zZDdlHMn367X0lkzXXDZyuCzbjI/yA86SNc8LYaefp2sAXpSj3szzpePLPrhk08Y4o0QqacXU1npNoBwPhgtiLQYyySstWbWScnSQSC/cecUgqPscU9cNP0GcqOOg7GBfIetWblWLKpPIwTbGes3AVKzbpIdyhcoSq5arZsQkKPhMds3zShKe9sans3hN46T6HuoKjee2GXQegJcb+n6jtuiOS1Myrwf9IPZVA1NhQyqCj8kYtzbuWz8Oj/2UAqM/TfaL9/7PfZeH/+fv8f5/Ffir3+Xx/wNJjPunXr/tTV0p9XleTm8BHgH/OTAF/gPgunv8P+0+sU8U2P8WHwlbdpRB9UqeaOBQxkmCfZdjipaWh20NzirCuCU7zMntAFVrfB7ITDNweKtoGkMcN5ikxS1ENkjqBF3ruz68AhNJK8fPY0zTVciRe3mYjC0msnir8A4cmrKIcLarsENLltTUrSFLauKwJdSO2LRs64x1ntA0hmFWcWe8JtSWbR1zvRoShGKvLsoQHVk4sPhlhG41bhOw9MIxR3lU4MnGJbPhliyUUIyqCbjcDBnMaiJteWdzLDLHoGEYVlzkY8ZRwZPyoE/fATjoQi3WVUIW1tydrHop5CQu0Ye+N2XtFinNUGh5ZR4RRC1tI6Az57S4bF3AL7+4z2aXcNolRlmvOUx2uKnq8zYBvjS64KPisN9QL5tx36Ne2ay/jr+RvOCXtq8DcBJuyExF6UX3b5TjKBTm9rv5qUTnNSE3+YDPHtxwnGy5KCZs2pjKGQ6il7fh0oWcJWve3R1zXQxZ5ilJ1PBDBy8YDsTM9Hq8IXcxv7B8navtkGxa8+78iNoZJmHZM/C/MHzRm2V+bPoR7xdH3FYDRmHF64Pbvl8NsGpSfm1xh7sDOXCLRm5FlTVM4lJwFYi0cdRJBl9UE9mcm6Q/LLTyjIKSRZNJO6uNmMYvD659z77xmlhbLssR085mv21i1p2E8dUbxsqmtE766y+qMeOgZBrkjIKyr8iXbcZBuKNxqu+dD03V/z/+xtU6kYk6L+jffTuncgHLJmMa5v3Gb5SncYZpmPfGo9KFNMr0Oa3+++2/eL7/5/gBWL/tTd17/zbwVQCllEF6Pv8bkjv633rv/+tX3/+TBPb7a8Ynrg5IhfaYoWBK20ZO8r2WXGnZZIOslb53HeDygNpJ9JoeNrjagFX4PMClLb4y6KwVCz0IO6VS+P2AtKua7NBCIdAs7cEOHSpthWAYOlxpJBUoEiRBGAuTxTuF1sI+T8K2yz0VKuQ+fai2htUu7dOLJmnJR4sZVRXgurCPw0FO3oQUZYhrNVQGbRU28TBtCAKH7RAH3inKUsBkCsjChllS8GQ5pWhD7g2WbNqYvJVUmqN4y2m85lurc+KB7Xnl+37tskiIAsudQdHnXI7CktoFRLrlWT7lPF1x/uaK//MbP8RFGeBbzWBSE46klzzpKv7bIkMpz2ycc3e46iFd+6WV5zvrEyobcD9bMA1zChtxUU749vIEgD95/jZ3u5bKbTvEKMcfHr1D4wO+U57xCzevcy9bvqQkesNxsKFJDfcTzapN+eOH32HeDngvPyIxjcTjBV5Si2zERTXhvdURLxYjokh4/fcmK96cPifTNSNd0riAv3v9Q7z14pR6kXDn4Q3//p1/wN9Ov8rPPnudUVIxSwpKG/B3n3+JOGh5MFyQmZrXkjmvJfN+kGiUY9lkjIOCnYp5Y3LFW4uzPlTl3mjJ4/WMVZWwUZ55mXGSbciCmlUzxnlFpC0PB3PWrbRWdsQ83s343OiaWbjjteGcZ/mU+51TtbAvOTAAx/GWQFue7Ga9r2E/RN0rYBprOsKkxQWKZZMRasuyFizyIKiI9u+vbBc5KHC3PaLh1WXRFE7CXq7rYY9U3toYgyACKhf2LRl5zpCdjXsz035oajpj1qfRf/l9TMDL9S8A73nvP1Kf7NX9JIH9z3/PZ1aABh23eKuwr+jWfavwTrTnOrEo7QRJaywuVfhWEyQtSVrTNIZqF0kG5yqEyOMasdHbIkA1EhyBB9fIAaBzLWESRqMsPX8mmFiiWHrzlQ6xZUC7CzGDhihqaZpAOO5ZRRhYJkkpP7xlyraMSSNBGMzXGU0Rko4qBklNYw3DpOJouKO2hlC7XkoZRdIOwsvn6CPhv2vjCEJLFLakUUNRhwTGEgctx+mWD1cHHA5yFmWK0Y672YrrckhtDe9ujjlOtrwxvmLTJry7OxYbdihtlnFSMYqkmt9r3geBhGPP64xlKdK4YVjxo1/8gLdvTtguUxprOBmKXG2W5DivOEx2lDZgGL5MjheDStMzSr42e8JlNSbRTR/28OHugNfH8z516Fk9I9M1Pz9/RBI0PMpuuBsveBDdEs9a/tHiIfcyMcHMAmGzVC7kJJQq9q38nPc3hzxbTTgbb8ibkF0QcZ6s+PbmlE2TcJDknNzd9Mjd42DDu+UpiW4E9LW+I5b7oznmxPHm9Dl/Z/HDaDx/9tE/BuAX5q9zlY84yTYE2vHO8phvL044H6xJTMsoLAm7DNVAW67rEYOgYmgqLpKCF9sRk6Tk6WbKneGaXRv1yOZNnfR89L3BZ99vLmzEsk5fYiialFWTCvd+v+Eqz2F6K0obKy7Tt7ZnfXiLQTbSdZuwbFLaV4IvTFdZTzvF0mm07sx0oqlvMTTa9mlEe7PRq2vf4thr6Xu1l32pENuHlR9FW3Y27njqJVsbs7MxU52/0mt3GPz3rVP3/x8PSn+n1qe1qf9bwN985e2/oJT6d4BfBv4T7/2C7y2w/9hSSv154M8DmIMpVFo46pF7qVW3quc9KOMEyKUgihvKbSwGIJmv0raGKJIhaxMbaeeUGjMPacMAhlbaKbURU82gJZgHmArqmcMbj2oVGPCR65ylMmyN4wYXWupSet1GebJBgdFy5gfaUbUBaSCh0XHYULVGNPF1QBALNCsK2p41kwzbjjQph0NZS14qte5yWQErh49OWoZphdGO+TrDtoYobnl9OmcSFnzx4FJATrEkxYfa9s7VTRNzXQ6ZjApJcI/a3oBilGcUSV/0+XzCR9Uh2ngm4x2fO7ihdZraGh4O5ry9PpFNvzVQGY6GO5TyVDbg/eUhJ4MtB/GOBJFpXuUj0rBhnp8wTiruDlZMw4JYN9xJlgxNicEzCQqmUcF5smJnYxpvyHTNt3dn/PjsQ0am5CDY8jOrN4h1S2oa7mQrUlPztJzxzu5EgkmU58emDUNT8sXsgjvxktU05aYe0jjDdTHkshrjvObL0wuAPoTZ4PlWfpdQ2R6ydSddMQlLpmHONxb3SHTD0qedxn5Camr+5PFbnUGpxaH5W+6HWVRZ/7UH2lIrT9wmZLpm5SW1qXGGaZQznIryZQ/C2jNeVp2W/LoYoPHcy5Z9Rb1vqfzI5DFbm7BqU16UYw6inHmdyabvpTre43nn9YB1kzAOy16OCC/xuAADU/U6c+s1szBnY5O+N954aYsMg6qv0psuD3X/mnu1n95LNrvHoi4go+7SnfbRgcOOCLmv8k1HZgQZxu5pnfvlP4Uq+/d0+2W/lFIR8KeRyS7A/wD8FWTr+SvAf4O4p/6pV+fM+h8B4of35NvsEZNP3OVvAjiFSWu0cfjQorW0ZnRkccrja4OrjYRCdKe6a7W0c4yX1oqSrE5CsN3QU28DlIN66kQiGXh8qSFx4AXkFQWWLK5JgpZlkfTExMC4vuWwKFOWuVSzadTQWgngqOuAeh1jshYPTIcSebctY9rWsCoS6lZQwXUd9EHT4t6UwwxDb5zalRHlTsKhCTzELXkbMQllIw+0FX67M2zbiHFQEQcl1isWVcbj3Uzs6WHJWbqhsvKyKFrp6X75/IJhWPHh+pCnL2a8A7w+nYsyB8XXDp5wUw3xHs5eu+2MMJrLTcrRcCeIXSWpPc93E2HcNyGrTcYorlnWKZfFiKIJGYQ1X5k946Kc8CCd8zC75ZfnD7jaDnnjMOPzw0sC5fh8coFFYfD8+OgDfmX7kA92YyZhydwOKGxI6zWjsOIo2vJBcUyqa9ZtyqpJpOpFsjRvlChzlPJ9JRtq2cRXbdrb5QFOog2VC1jUKe+tj4hNy6qVjfainNB6zSTUVO6Ys2jNUbghUi0/MfuQb23PCTspYOXksNlvSpOw4EV3sBjl2dqAn796nTRsaJ1mENbEpuUg3MlBHJc8HEpPfg/NGoWlGKg6KeBVOepnBZ8fXv4mBU3rNafxmrvpkokRA9WySbmuR4TaEijLOBBt+FBL4bCXIu4PkbY3CYkqBi3SxFc38lf57fuDoLAR0zDvqn/f00pTXb9s83Sb9KsHBUiAeG/SUnLQu/0e8X2uT0v98v/n+jQq9X8J+Lr3/hJg/zuAUup/Av737s3vJbD/xKWMR6VWNizFS/Su8hDbbhjZqT+8p60NvnOWYhVedxyJUuBFvjKyMaaiZonTRoare7t/5FC7rs+eCd9EOj6irsmmBUkk10UFnfQwJDQWHyjWu4TWynBQK4+1mroMMNrJpt4x2wlEMjjJCkZRxbaOsU6LY1VJa2W3ScDzUkoJhEuDqRTtwNPGinwb4zoDVHpYSM5oV2WtGglnnsU51isCbXuH6vurIwCmScHz7YSjbNeTKBuvebw54MnVjOGw5OFozsDU/Knzf8LqJOWiHNM6+eH8B08fEQUt98crpsOCw1Scht95cUwzT2jPNUfDHfNSsK/juCQ2AU8WU6KoJTRiGrkqEzZ5wi6KeJLMuC6GneFFs6oSAuN46/pUckOjnBfthLvhgp2TCv5OvOwSg+Q6r5UXZ2R3nQ6UFeZ7UFA5w7cXJ8ySghebEYvrEaPDHeejDU+KGU82UzZlzPloI2lD42s+m17xuDpg0WRcFmOerCckYctJVvCd9UkfcTgvMtqBDJRPog03zYgX9ZiHyS1fHl5w0wz7weHWxnxUHrCoMr46e0qtAq7LjGEoX/eD0aJPv5qGBc5r5s2AaVSw7uSUWnmiLuN13zJZtymBttzPFjwrpgCcRmuGgVTcryVz3suP0cjrZA8AS3TD0EgYxcBUFDai8RrnFHMXkOqXkkbRpGu2rVT+w0DMSDFtf8uBl0x2o1x/GITKgpHNe9lkNE7klbZzou575a8eBnstvsbLx1EtDsW2jdGB/1jF/ttd3v/+pr5ff45XWi9KqXPv/UX35r8B/Hr3508S2H/PtdegE0gcG4GHfbp5q3GVQWUtKpDoNu/2qpVOwuhE4udaLfruyOLbl7hOazVBaGl3oYQu1wpvoDkW5Kzr3KfxrCQIpH0yimvKNmBVJKJycQo1qCjyCFcENGVAlDaiqW81Sst1NosbVo3BVQaTtozSkiRoqWxA0Uhlbq1hm0vlH6eCJyjzCF8I/REF5XkrX1urZACsPUEiYLLxKOcgK0hMQ9QFDuxNT3uXYmlDdlXEyXBLZQMmccl5uuaiGHNbDXi6mcrfH677eLlAWz4ojjiIdhxHW97ZnqCV52S0ZRIVvL84pLGGbRlzPlkTRZb0zoY0EvdvbQ3Oa4GUNfI9+/H7HzENCyoX8Hw77q++18WwD5FonKHqvjevz+bclgPupkseV4dcNWOA3k15VQ37DNkHg0Uvk9urMQTTIB8k1I7zdM1puuG9+IjntxOqrGBdJxynO5Kg5fOTS+4nc3Ibd3JKy68u7rJrIo4HOwLteH1wy785/SXeqc/4O7dv8sH8gGFUcZTs+M7uhNKKkuainvTxfLmN+Lmr17m4nPKZe9fEpuVXF3f54vQFWdD08rxAW0amlASjKGcc5ATa8q3luSia4lqG4bHY+A8iwSxcVvJ9qV3Aukk4TTY9bngWyKF7nqxYNhnvbY/YpbGEZ7wiG2y8IdCWZSWzj1A5Au36qDmAx8UB07Bg2aR9ipUwjIKPBWnsf7de9+HT+z69kEqj/ud92/XPX/13QE+U3M8OrBb6pDUS3bdHCH+/6/d8SIZSaoBgIf/DVx7+r5RSX0UuQx/u/+57Cey/5/Lga42OLa7VIk2MrRAbU9v/vTPyIlHa4z2oRqM3Cpd6bNC1a7wSbotV+EJMPT6w2H1LplV4DcqBXgXYQfeiHHUIgKClakK0ktzTooj6cI0ij+VAMcJlt624WdvG4GvNViUo7WjrABSkqTj3yjagsYa8jIXn3BqMcVRl1MsydeBwTYjuDhwcmMSC8tgigEbT2pDp6YZBJMnymzphluS0TrNoMgnmCBoC7ait4XS0ITEtyyqlcZrKGe5mS+4nC84SGd7Ngpyn5YzWax7vZn31fxTv0Hhen91ynMhA9CIa8zCb887tMbe7jHvTJVEXhNE6zTQuCLVlEFaSxVoFXOZj4qHl8XZGUYcM0orT4ZajZEtpQzSeB+mco7tbZoG0EX7qxef5uavX+ZHDZ1y0Y37t6g6ABJikFQepDNBkWGihU/IUPupbMgBnAznEFmVKXkWcHaxRyvNsNeFzh9d8cSIa+Y+KI1GCmJa3Vyecphsejm57bfXX5/f5Q8N3SVQjIDJ1zrtfv8/bs5bT8yVngw3LJqV2gTDH24hnqwl1E3DvbCEyQQNp0PCd9QkHsXydpQ3QTSxoABvyNJ9yJ13xvJhwsRqTRpK05bzio9UB7Wh1mLXkAAAgAElEQVQlXCGvWdQpo1DmIQ8Ht9xP5iyaAVsrhMw9BiDWImtd1in3s8XHWOKFDTkMd/1tKe3kjU4pQmMJu9vBebSCFC7qCYWNWLdJ//x7IiXQB3XsWy175U2s235T38fz7avw/dq3fPaKnH2PfV+9N858zOD0/azf8z117/0OOPwNj/3b3+P9v6vA/nuu7v/WryKCncYbjzUaQodvJQAjGgk2V2uPTj1lKIEattboVYgvDIQenbSYwEmE2zLAGi8uzUajKhlC+tjJc68EmOUSj0sVdRsKSkDJoVFsY3wRoFqFi6XXrlPpkQdp26N8mw7j66zCVSHKSKyctZptGTNJS8KwwQwdeRWJHBONrUSB0ziFrzXRSvJE7cCisxZbGcKshrTFx4rhsGSUSIUTaNcjVfM2orGGedfbHyUVw7Dmi9MXvLs55unNlDuHK9Z1CpH0P19Lb2hcQO4iPptJ9ue3/SmX+Zjr3YBv7O7h3MugjbPpGqM883LA/elS2iVdFuaDwQKtXN97TYzIOx/duaFoQ/7J4pSw47EPooaiDbkph71iIjUpd+IlI1Ny0w754uwFuzbmMNpyP5nz5ugZ7+YnjIOSdzYnknFpWh5vZ1yuRxgt7J2qDVisM9K0xjlFEjWExpEELXEmAeDrKmGUVFzlI26KIV85EOJi4zXfvJXD40cmj1m1Ges24eluyufG17xoJqxsxq+t7vD6bE72h17w1s0pV+8eclMfyY1waEXFlbScHK35I3clh3UfZfesmFJWGdfFkFmSy+3GBUx0yXU+kFZROeZiN2aUlkzikqNEULW34YDW6z7m7bVsTtVhcYWvEjMLd1Qu5KqWbNXnxYRIW0EfQH+r0V0mkVGei2rSuUXpN9WNS6gCqcQfxHNKH5DpmofJDYt20Pe6X13Wa267GL9It7ROkqjMXq6obZ++9Gov/dW1D9XY+xlejdqz6E+lSveo/nX9u3n94DtKHRKsbBU2dfDK91yHHRPCSiydaMRlBt7mgVTxs1raNlbhbUeMiy12IJt4u47QpTDafdL2mAF/4GiLAL01sAnxgThNw3El4dRRgAvdS9OSArcNIZB+eFUFeKdxjeSpequh0aiglYoeGCYVZRvgvSIw0iqJ4k47rzxYjW8NwVpMUD6Uvr48lzzHZJQTGkdehzRO471iWaYMo4p5Meb5Cwl6CNMGrT3XZcjs7JqffvI5ZlnB66e3nKbC1/5MJvRB4x23zYBlk5FlNSubMgxqXLrlxUZwuncnKw7inC8MX/D15X0udmOOs13H5vDczZa9VG3P9B4EFaOwJI8i5mXGIk8ZJhXXmwGjtOIzkxsu8jE3+YC8iljFCdHM8tnsUjjqXrNrY/7Q9D2c17xXHnMSbjgMJQRjMpMUpHkzIA0a7k5WLMq0U27AncMVAM9vplgruGAVylylHAQcpHk/5Hu8mPEPKzE2NdYwiGuOsx0vqknfovjT59+UqDldcNFM+dr0CT93+4i2SZhmBX/xX/x7TE3OL+ev89NXb/Cvn3+TX1q/xvurI/6vD94gjlpGScX1asidgxX3hwuebGe8fXPC0XDHbZER6ZbTbMvj1ZTADCibgCyS70XtDPMqIwtq7iVLlk3K43yCHkq5eRDtuiGiYtspd86iNS/qMWfJGq08H24PebKecJTlfG58LUiIoGDbxry/OWQclRzFO67KEaOw7FUpjTd8WB4y7Cr5oRGi5L4fntuIrY2ZBAW3zYDGaw470qJTL8M0dD8E1T1j55PWqxyZ/cGh8f3X+Gmsfw4K9d8Fm7oXvbhLJfwiWEr7op16XGNQ2tM2Mji1VmPbzl0ZWXwtGzKDtjMeGXykUJFU4zQaXWhc4lBOSc8apHJPLMmspEqk0g9GDcNBSdipTYKwy++cVXKILCN0rXHa0t4mve49aBR20MG/UjEm7V85YSd7zOuQuo16qeTLrx3Z0I2nHTtU1kJpMJGldYq2DNkqoUF6r1jbBOdksLWKE8oqJEwbjidbaiu96fPDNY0V2WGoLXezFdNQ+N0az1UzYByUFC7iKJbWylvrM74yecbr6TWfGVyz6hJxCitZmsOwYlvG3B8tSUzDcbLtr+DOay7LUc+2OYx3jKOCDxYHeK84THN+5OgZ00D6salp2NQxx6MtN9sB760OSU1D6zW31YAfmT5hpAsiZUWeimKiHM+qKa03PM8nJEEjFvqwkplEG/LFwyumYcG3lmckaU2xiwizhtGwoKxDLl9MsSeagzRnW8do7SiqiJ+49xFH0ZZlk7Hp4FfrNuF+MueinjIyJY/tIefRUlyjBx/xohrzq7d3+Knll/gjk7f58ew93nhwwUBXHBxsuRxN5HWG4kU1oTiMqKwwTbZVjFK+75nXLuD5esziYowZyg3wznDVt71WlRxah9GWeZ3xlekzZmHOTSOV8V5topUnVhJY8SiVw/tXVq9R2oCvHj/n28sT5nXG/ezlxnk3W3FRjIm0JdCWTZNgItm49wqU22bAtR/1WasgZqLDcNeHSu/amAfpvO99x6rtN2WHYt19X/UnbKlGuY+1XPYEzdxF31Vh89tevz8o/R1agZNNN7WowNF6hdkYVKnxkYdGCYNlaHvtOl6JTt0JI4VKyIxouqpZ9VAuFzuU7TZaBTjQucHHIlGMkgaShkEqL/a8oyW2XTVtN6H06r0SRHAtLSKlFKZQNDOH1x5VaVygCWKJ1AsCSxbueSNiesgrGSDiRb2zp0a6ULT5QWSx2hN3mN92F9IGpnfY7n1fQShmlPPZGtPp5GdJQREIJGlbx0zjgtoJV2TYMTeumhFtV2kdRxti1VL5gMNYwgk+KI55UYwobcg4Kik7nndqpCr+cHXAm4cXHEQ7nhVTnm5FnTGMhFTZ9i2VhjdPLrjIxzRWKrbresTPr1/nxXJMEFjOxhs+d3hN3ka8szqmsoa7wxXfWp+zylKGRqIA9/Crt9cn5E3IcpdyMt7yaCRZnFHa8o+evMbz2wlR3PVxw4ZHD27ZNREPh3O+vTzBe8VqmxAHopmepiVp0PB0N+0TeHZEPCunbJqYdzfHvDG+4kF8y5PygHd3x3xl9Iy70YLresRxtuPrV3f55s0dRnHFTx6/x49mHzDSBddqxLNqxnvbI96cPOdQSaj0t1bnVK3hcJBzu8sEhJYPWC4GnN5fcGe46h2f0sJoeDi6ZdWk/OPlfZIujDnvQi2cV1Qq6BjmggeAl1F2R9GOSViwalJOsw3bNmbXxoTdDTg2cjDOq4x1lXA2WAvUzUY0gWFkXjp3L+sxv766w8PhLWfxuv/xfVrMOIolbarqeuf7f7P/8zQsJMv2E1ovry6NUEf3+bL7iv9TW/8clOo/8Ju6UpCd7sjnGb40UrUnMnxRjdj69wEYrgxQoUOHey4LqNDi286F2ip0YQhyRTPq+C2q2/g7IBgADbAOsYlDj+RjlbVklvY9N69I0po2dninuhQgD20XuWc89Zm0c5TxMsCtDO0uRBvHbChslbINsE5ySIt1Im2X7vPQjcJlTkK3TZfilDbEYUNdBYSjShQ2Vto8zmqiQc3dg1U3LBX5YhxIwPTD8S1XxYh7wyWn8Zrreshn0yuJJfPSfx2GFc/LaZ+fumkS8lYqyY82M0ZRxUGc83gzIw0bPlrOGMQ1g7BmkpQs6pRNG3NbDvr/w0A56m5Dv60GnCUbMbI4jTaen3n2iC8cXfHG5IqHozmBcrRe8zC9Zd0mPWP+NF7zYX7IW0vJKx1GFdZp5kXGa5M5g6AWEFojm9rnh5ecR0uOoy2fSy9JdEPtAyoXYlF8ff2Aby9PuD9akoUNj29mrMuY0FgqLzryJJBbwrzOeLyRvzfK87XTp7yZPSV3MS/KEZs64Wk0Y2RKTqM1762P+BN33+FnLx+RNyE/e/0ZysOQB/EtlQt5EM8liHtzxrPthG0ZEwWW4+GOpkNUXK+HJFHDdCaHau0C1rUmTZuuFy+H6t1kyXU95DOZhIRc1yOe5VOGYSVhFl6xaRMADrogklBZHqXXzNsBt9Wgl1EK6Eswxo0znMQytH40uaF1picwLpqM0kiE3sQUuEiyTp8UM+Ym40G64KKcMA1zRqbsMbuvmpr2Q9Rxl2ULLyvu77a57x/bZ/zGusHaT7cH/vuV+u/A8lZRVyE6aXGtxsUWvRIliIs8vtvg8fRVsmv0S5SAUh9H5U5a6gnodSDF+f79Akc4EjWBLaQfn05LqkJi3lwqmAKlJT0pTmuJvgscfhuiC0EKuMSDloNCVYbgsGCQ1gTGYZ0iL2UYWjYdc9ppbEdXBOHAeyd6em+8RNdNhTwZGsvBIGeRp3ivyNKa1mq8U8TDqg8XuN5KYIUxjjhsORzk/eDxjfFVz1SBLrRAKxoraTu7JubJbkpihCC5rWOysGbTxGxL+XWlh/3Gs8ulVXGSbXi6mfJ8OeZwmDOMKvImZLVLuVYD4rBllhVs65izZMM0KqR/vpXN/4PlIR+qA/7I2XvCjAkKcitp9N+8vEMaNYTmlC/NLkmDhlFUchjvuK0GxEHLTx68y3Gw4evb13hne8K6SfjF+UO+PLngfjInVJa646RLaMWKPzH7Nj85DVi0A/7O7sscjHfM1wNcqNndZhTTEqU8aVwzTUsejBYMZnWfGPS3r9/k9YHcCCor8sF9WMaD4YK3N6dkYcMkKsjbiK/P7/OL9iF//PQ76E4i+GI35seOH/MgnpO7iNKFXNdD3g+OeLEeUVRhl6LlaazmICtY1Blh7HrJYaxbvjC45Nc3d3AolpUMxfcqoEFQ94Cxd6oTPje84rDLBh2Zki+MROmz6GiPWnme5lMiY2mN7m5yHmNaYbMoT6AsTSuqk4kpZLYQlHxl/Kz/fwu6NCuQzdrgeknnHvi1J2JGuu3Ji/80lXfjDbwSmAHfP/rFI9kMv9vXD/ymjoK2MoRpgwkEE2BjS7uOMFstQ8ouGMMHXbRcawQZUyiUM9jESTWukEo6sbjUSUXdqV10JKEZyiqScdVF43m08Tgks5RIPk4QW+raiM0/tPi0xYUaKgmvQEGbenwi19iiCvFeEceiXcfDZpvisqp3mGrtCbO6c8V22atdC6apAoLAUncpTFp5sqximFQ01mCykrIOWS0zlJZqPggcDw/mEsZRSXpS6wwvyjFaea6LIX/0+F2+vnnAebzqDTHP8wmNMxzEOdoG3LQD5ruMttUM0oqiiiCAu5MV2zrupJkyDJ0lYn56enHAcJqjgGEqioW6NRwmux4mFumW+8MFgRbsQt6EtFY2iVi35Dbiuh7x09/+PNODLT989JzKGXZtxMPhbX/1Pkm2vJ5e9zb+fb/4fjLno+KIWLcdgVJCigGelAf8/PwRp+maHxkKUneepyJLBepljBm2HI+lb904zZObKZtRzBuza7RyXJfy/xDrltcy0c//yrP76HuO82TNQbDj3fURk6gkMpZhuGFeDXj/+RHVsXBNChsSBwKremt33rswP9oeMItzzMRxmw/YFrFkvHYH6YvdmEWVkQYNtTXkbchJtOFLowux4acROxtzVQ5pEbmqVp7LfMSbMwm7vmpG/YZsuojFo3BLrBueVbMuuKWksNKmmdcZR/GWwkbUTjMwvh9+Cl8nIDN17/xct7E4mMOYzMggc1+h73XsT8sZlTMMO3dvb0z6Z0ww2pubvu/OiafDef/uXj/4mzqgdgFNqwlHFfU26itvb7oWTIzgZ53quSjRUmMjaGdt70BVrUgXne0Ogkpjdho7c0RJK87PQBydbYfwRXmScUW5jjv8L7QdHVIqcieUxkp3/XywsReTlPGSYxoIdGvzYiTEyM40FYwKqiZ4meupPM4hn1+j0Y0ofnxhyK1cn4PYMh7lJKHwYZrWsK4SmirA14ZwLBCxUVJxsRnRWMNBVhCblmWdUtmA+S7jx88/4sPikOe7CZ/Jrim7q/wszjlOtoJYLUecDLbsoojL1YiqCRkkNcNYHLDzbUYQWKKgZVPFnA02/LE77/Cz5hHbMgbluTdaAvB0MyXSlqPBgqAzsOwDMJZNxi9ePODRbC6qiu0hJ8mG9zeHxIOacVKJ3M6GrFzAN27vMY5L7mXy3FubdPmiARbF3XhJ4wLGgWxY+2Sjm2bIzoqqw3vFt+bnwrgJSrKo4c54zfVuwHwzQWvHthJ0cRI1RJFlW8T83O0jvFW9mig/jvjJw/f44vSSsg14sp1xHG1pvOGPnrzLto2ZNwM2TcyyTHlwNue2GeC85vF2xjxP+bq/3x+q46jkw5sDBmlFEnZRgt1m+PnpFQCN13y4PuQ8W7FthLr5UXHIQbTjXrTg16s7vL085cnljOl0xyBqOEhyYtPy/vaIR8MbHu9mOK/5/PiSiSnITNWbnpxXTOOCUVChleN5MWZVp0yjgkFQUbugvyU0kekHmXvlUWHltTQKS9btXn2kyEzdZZbKx0lNzTiwzJsB5/Hq41RIZ34T2fG7rT2qd39gfL/r97xO/XdkdcNOFTqc0wRpizWCAvCtwmw1+z0WBbqUtkx12hIsAszWYMcWncoPiNt2pMNW4UctttSowlCHQS95NIHDW43LRQVTd4NUVWsYtfhanK0m2atZuhaO8bRDhyk11Io2a4myhjC0lEUkQ99Go3YB8WnOtuhyIK3CdI5YQKr0Vr4ONPLLK4KkJc0qjPZiWKoi8nUC6wAfecy4ZthV7TfrAVEnmRNGh2ZXSejGF+5csmtjnu0mzGKJA9Pa82F+2JtNCitDVe08g7AmCCyDuGYcVTxbTYjDhmFaUTYB18shzhpGsUjd/vDJB1zXQ86TNd+Y3+M43TJLBOvbOMOvLu4wjks+O7omNQ3joOCNw2uyQIKf76ZLLqsRF8sxP/ngfe4kS1atIF6vyyEHyY5dhzvYc8NLF/ZEwryNKNqQ82xF6wyjsGTXxmybmEBbni6nlEVEFDc8TmY8HMz5g6cf8s35XRbzochTnWa1ynCNockMh5MdsbHEs/ZjppdhKGCp42jD+WDNTTHkG4t7fHX2lNQ0VC7kneUx1ivOBzJAvK0GwubpGDm7WpRPq23K0WTLyWTLpoxZF8LZT+OG82zdq0vmzQDnFaUNuZcJ9GsfO3dRT7gsxijleXA2F5dvFZEGDWk3H/i1xR1WRcLD6ZyRKZl0xq6qy0CVQawmNXWfH3uvk6hmuuZxcfCxIIt1KzF3uYuwXm5he6dwrEVx86p2fe9IFXmj7pU/sW6xaJa1cHZedaX+xlV2OvxXn+9TWb+/qf8OLK9kY681PnBi9/dAqQm2ukfRouhMHg7VQa/aqSVcGlxucMqjEwuhQ5VGnkMBqZX+dWW63FIJ2gjThrqJYRPiMnGw+lA06DiFKjRuayRkKrV4rzsVjcLGHh86YZx7KHaRJCa1Cp84CdDe2/+twkQO20pkXhBIG8iZLiu1q/iTUUUa19QdydFaTV2FcksYt5jIkmUV2zyhKQO8UxIW4jRp1LApY+rWcPdoybJMudoN+zSijU14XMx6t+VlOcJ51Qf5riuRSlqneTyfEYXtSyzvZsyDsyU/Nvuo749ar4i1pXWabRMRmpQHwwWbNmZeDXhxO+FSjVlXCZ+bXnMSbzhLNjRdHuU3Fvd4970zklkplWIp/JJdGzGJBEQ2iwreWx9xZ7DiIBS1Td2hgUevhCQHWgI6to04S6/yEeeTNc/chKoIeefymPZYc5JuOEx23E4yNpdDbGUwsWV8sGO7TahbQ2wsh8mOQFtibXvN9lU9YtMmvD4Qh+37myN+8fohHljuJGBjEDU9pwWg1Za3rk+xVqOU53CYw7CgqMNuzqLZLVOwivRENuOLUsxAuzYiDRsWVUbSeQGu6yGtE2v/nWzFw+EtmybhnyxOSaOG2hmU9f3sJu5uAYsm40k5434inPq9cqa0Id+4vUdoLINQUpRAwGBfGF4QKtvfkAAS3bAuReq6bSTbVKLmVD90Dc1LxECoJYZO67bv+8shGGC9onWmb+l8t7UPm95z/j9p8/9nW+r3B6W/I6uz/Hscrgikhx54dC3jFDtwIm30iPok9NAaMB4zaGkbJZt8ZXDGE6QtLrL4XYgZtARhi0sVTRFiQktbScXuOk4MuUEvA9y4lTzUjr2OU/hxI8oWBDTmU4vaGfl8AnGZNnmE2hrCXOMM2MgRDITTwjokOJD+vWs0TatpA4PbBYRLg7QXNa1V1JEw02UzD2gbg7qJUJEod+w6YlME0oJqFKbQ2CSgmCi0dlirSbqNZduE3M6HTKc7dBcqPA07x2IxYVPHeK84SrcsqoyiCUmjhqY1lKuY0XnJJJLQ6sOjHT88ekKma35m8UYXSSa8ma2NOUxznixF2riuEpTyjIYF603Kxc1ENg1TcxhtWTQZP/X0DdabjC+/8ZRpVJCahlWT8kvPH1BXcpilWU1VhoyGhRi94kDCLpTjvdURl8sRB2Pht0RdPKDr3KxngzW35YA0rjka7bBecZsPuN4NqFu5xptRgy0CXKtoWsPxwQaATRXxTn0s8YOhsHWO0y3rRgInjqItz/IpsWl596NTTGz5Aw8/YhIWfLg55O2bE4o85s7RkpuNDLMV0JYB+SpldLAjixqqRmGClnZYUZchyxcjnsc1R+mu700/GCx4f3PIk+2Mrx084TDcsbIpV9UIgF0bE5uWuEM17FUnlTNE2jIb5JRW2iWBcnxjdY+TZMu0C3I+TTZ8dnTNh9vDXrkE8Pb2lM8Nr8htxCQQsmPjDLfNgMoFDIOaNwZXbGzCspHBaxhLJq38FHeHipLEp1i3JN1B1USmwymYnvHySdX6Hu27D8nYu0s/jf3md/v6wd/UAd0CrcZqkSCqUmPyPadF4bshp28VOrS4lD7iLT7LqS4zVK0AcYFGSYtKRQ7VVAFR0mKGNXVX4e55MtGoppmBX4fialVSNfvQoVfiBPWtwsQWl1rYBKLKMaCGFrcLMBuhKnoD3CmJwxZnNc0qhrS7Nnr5fD3gi5BgYwQqNrWoVqGsJCkVZUhbB/htgHIid9SDBj+P5WDRHcRMK5g0UsV7KPKYILRUTchV52CdzbbcHQtX/bIacVWM2HYSyNvNgDAUEt+qSNhuE/w8Qh9VqEis9bs2onaGh8M5BumZHsVbvjm/y2GyIzEtqyahaENORxsCZXl2M8VZxXhc8Ob95726Zn+NjnXLHz7/kOfTcf+284pfvrjPKC157XTBW9en1E3ATzz8UEiFqwnvXx3SLBP0sCFJa+p1zOVlKjerrGOCKIjThuPxloMkFylkntI0AQejHaF2mLTkejvAW0U0rImilroOuLoZowPH8WxDbCxJ0FC2IYsyJTSSOjSvMwobESjHpon5/MMLAu24LQe8tzhiGFecjTcUacmmjAkDy1fOn7NtYnZNxOPLAzYvRtjjHYFxlGUkSIpWZjUv5mP0oe+5K3VgeDS6JdC2VzLFHVPFdvFwrdfcGy75tatzdnnM2cGagzRnXmRyg9KOX92ek5cxTR3w2fMrvjypOYk23I2Xwo8fWS6rEXkbMYukhabx7GzMZTXiQSqJTlsb92wW27XvFnXKYbzrEcP7qhpEzjgJCjSeO+ma58VYNOtBjg10H533SRX4q2Ax+JQSizy92/v7XUqpvwb8q8CV9/6HuscOkAjQhwgX68967xdKkoX+O+BfBnLg3/Pef737N/8u8J91T/tfeO//+m/1sX/wN3XjsSMrqpVaoWsx9di007MObJ9VaiIx5uiR68FYzimG99aUZYhtDK4IqBaRaNQj15MUtREpoeqojD5ykjQE+M64pGotaF7zUklD6EAJWsBmCqeMSCeLAFVrAYrNWkEEtIqqkgEiyguIC5FPqsqgus2/Hdvu1uEEFazAbwMaY7rDCvygRe0Cub0MWpJJRdNIAIgKnFSxI8+uiNFa2kZlIeYPbSyTrKC2hklYYHDULuA2H7DJY9om4N7BklWZkOcx/jaGWY1rNEFke7XKZyYrTiPpE182E16UY14sxyyjlEFcE3fBH1UboAeez9+5ZFmmxIFstI+GtxxGojDReGZBzizIOY42nRtV8VF+QGgs/8rdb0nCfKdhL608r1Ie2xpOH8y5WYzIVymDw5zzyZpNFXMy2LIsU6xXZB2b/Nlmws3jKSbXuMRzsZPvi28EGJec7ggCyzip8KnITq9uxrz46LDnxQMMo4rzdM1NPeAsWbNrY2onm23lDPNq0AeJz3cZUWB5bTKHAVzlI27LAZNInuvsaMWlHpPfZqQHBbNRzraMcWlDk4fYTchzP2Uy3pGGLdO46A/Dk2TDRTnhKN7SOsOH2wM2Vcxnpzds25iT0ZbRwQ3ffHyPSz3mM2fX3OYDllUo4LhGMzvc9DON/QqVZWdj7iXLbuApDJ/38iPqPpRDvs5tG5G3IaG2TL3hUXrN3VhmIXt1jcazaDMxDClHrFpC3XIcwdNcWmxDU5Hoho1NerPU/vXxG9erh0So7KcECvjU2i//C/DfA3/jlcf+EvBT3vv/Uin1l7q3/yKCL/9c9+snkEyKn+gOgb8M/AGk9PsVpdTf6kKHPnH94G/qnQsUDRjQrcJFUqG3I4sZNBL4bDVtI0HPJpDBX10J+dAYJ27CyFKHFjfoULxdf75tDL4ISUYVVbeB7jXv+00UqwTnCz2NUVUa3+nKXW16VU640qjW0IwdbmhlQ7edy9UqeOWqaBYBygpSwIUe5ZD80UBMSz5yeHRvtFKZlRCQtpNj2k6i6RSu1ejQYkLZeE+6BCKtoGoN1mq09lR5SGQs07iQiq5L/3Eeqk3M0alsiPPlEHcb4Uct43FBWYUMs7LP3DyPVz0nOzMVj7Iblocp33l6yvn9NUfJlifbGeNYwom/PLlgN4iZ1xka31W3Iasm4WI35gvTK+6lC2LVctIdFm9vTnkwWfJRcYjuTEzvLQ6ZP5lC4hhMC86OVpRNQBQ3/NBrjyltKC7YATzfSYtn3KED5uWA+WKAGlpRtLcAACAASURBVLTYWPdDc4y0zLyD4jYlnpW8yGOMcRyMd/zQa895uppwuxowjiomccG2iXmWT3g4nFO7gHfXR3ivelXH3in52dE1Z9Gar6/uU7uA2nYSw82QB2cLYd4nBebQ86Q8pFgmDJKaLBYvhI4tPlTYPGAbJJCV3JaSfKSUZxrL5vf1m/vsqoj70yVfnT3lve0xj4Y3oldvUg6mO4x2XG2HbLYps8mOs8mGQDlmSS5tot0hobLMuqHsnXjZJxut24TRHidRhazrhCdqRt21S742fcKikYSld/PTPjhad5KS3EZULmAW5hg8FYqretynMG1tTKbr3ly0Z8GULvxNlblsDS83eus/JV/pp9R+8d7/jFLq4W94+M8Af6z7818H/h9kU/8zwN/w3nvgF5RSU6XUefe+f997PwdQSv194E/x8ZS537R+8Df1/5e9N/uxNc3Su37v9E17ir0j4kw5VGZVtauadg+GbixLIIQQlhD3SFwhhOQb+Ae4BQn5b/CFxQ3C4gIJkJAQkoUQ2GaQRdvdbndnVVeezDxDnBh27OGb34GL9e19smi33U1lZzW4vpszxdmxI2Lv9a33Wc/6PafgaZWki53F9xugQBzMFKCRBA+gEz6qSY7R2GKkLEQP9l4TgyE0FjsbiTq9//9WUpNSmFb+TUIdzftFoiCPLc9nQgJ4sR7GU+GfbgLjPIGJmKMmZVPht9OW6yngY5KRTs6ZmCViLuHXACaX0OPR64mdPgVn9/Jn6wLZvBfeTZCh6GrVMAYZSOlJRzY6sS5a8aubQNtnFLOB6/JI4zNhZ0dDiJpucJSrjt4buraUgp4llJUjcFUMdIOjm4ZsX3UXXLiWj4oHftQ84b6f8Xq/pJz1/MHrpyw/6UhJied90u4z7VlMQ7c37ZLbbs5xyDAq8fuPT/j8uOFX168BWNuGX1m9wUd9jkp7065YFj1/5bd+m9ftkrt2zmNbMAyW71wKPjYmxet6RR8sV+VRZKSh5B/fPAMlP/PFZU19LIjTgNzYwJOLIwm4388EEtcbTBUJ02Oecldf75fcmhmXs4bSjny2v2bXFTyZHaVz78XDfho8n5gx277i8zeX0gAMms2HstmbG89xcuyUy472oaTuMrROXMzbCSHhaGPBcMxoTeRVn9FuZZCqKo/LPS82O3756oaZleGi3AQtR5/xh7srMutZ5R3brqTLPE2f8clKNls7L1iBIRj66NhN+IVCj5Nd1GCcgLpKM7DOmmn4nFhnLS+KKaQkZiysgL8exhmlHnAmnOmNJ8jb6ToFSPtkxKE0DV5PJ4aVbacy8E/uoMdkzh/7TcTZ/SmK+pVS6v/82p//xpTY9k+7nn4ta+It8HT6/QfAl1/7uFPU5x/39//U6899UVdekb2zoCE68FMEnfKapNJ7DSzJmn4aNGrURJ0gi2idGKdM0CzzKBdotxmhy88SDAboNV4ZYZfnQSLtPGcuTCgTrpat0VAmMeVUcRrQAt1EY1QJHaZtVwPuQROKadO1EmeO7gzZXhFdwpfSuMd8WlbqLGrUhM6gZwFXjvh78aiTR5SNhEGTLDRjjrGRvBhZVUcK688bmt3g6J2XgIkycVUecabkUcE877GTNtoHy+NQUg+ZZIwCXZPBNpObVB6o5rJAdDGlNIHwaq6zI3Pb825Y4lSk8RmzfKDuRQ++aRb4qPnd22esyg6zvGdhOw5etPt9X7DMO3axYF50Z3/y3/7yl8ht4LeefsGH+RYM/KPj83OupVaJt92Cf2XzY/7O9rvMs54vtmtWuYSD+OjlRp7EHvf7b59QFQOzWUeZjYSl5nFf8exqhwKcCexawQXXgxTTGBN4fY4SfFoc+Py4ocxG1Jg4NgXb1yvIIldP9szznl9evhWGSRbYj8V5s/O+mfH6uKJyA3k5srne8ZvXX3AYBYFgdcCpyCpr6eaWdlsyvJwTXaJ2M8xyZLlo6O9FDuwzR4oKOxvJi5Hnqz0zO9AFy+/ePiN3nlUhp6OPZ1tumquJ2lnx8mFNZicYndf86OGKddVS2pFrJyeAL5o1l7lwYU5RcicaYphcOAef87zcM7O97AUkGZa2wfG2XfDDhQSg3fTLc8bs6drYmjDli+Z2ZGNrXrcr+mjOELg+WjZZfe7S/7iifuro9TfhfvnTLR/dpZR+8//1p0opqdMCwjd8/bkv6knDuIqYaQ0/u5chYqgSWKYiLg4X7ZUU23wq1EHR19kZ6NV2FpMH1GqQbikB7aQhmgSdIWqNXYx4EOujjTKsHCRCzvSi6etBYW40vpLnF4sIUeLmRDLS05q/wjaKkIMexdGChnEhUku2U/QbKfZplgjziG40SWu8cdjcy8kkixSLHj+aCfolgSBqCrOu3EjvLVU+0PQZ61nLRdFS9xljNCxcT6YDpR1Zuo6r/MjbbolP4hOOSYK0+9ah7jPSZkC7KBZLlViVHR/MdtLNRcPzQnI2x2jOLodN3nBbzzk+VlTLjjEYhmBwNtCMjjfNkjZ3ND7jOj9yUbS03rE7ljyZTdubwfDd9QPrvOH3d0/4TF1zXRz5ndtneG94frGn9xZbRj7vLqdYNcXT5eFsF9QqyeKSkaFdkY88XRx4aCvqPiMEzXzW0fQZq7IjRI3RidvDjL7L0CaQokblgaEX3f4qP/K96pb/7tVfZPCW7z25o78UXTk3cnK5G+bi+vE5D23FzA38+OZKCsWq5rEteLo68FeufsLnzeU5du++n/Fyt2GWDXSjZXF9pNmtSGVE5fL93x9Lkoa0GWSLOWo+uHrkqjxideSxL/nJ7SWfXD1wXR65aSVntA2OD2eP3HQLnAk8WR7PJ4+6ydntKq5nNXPXU/uMxfTrQefn8ImTbbGJYnd81azY9QXfWW7Pun7tcxau43vVLaGUSLyTl70OOQvb4aOEXTz4GVfuMO0tWNAeHzVmiqXLJ8Tuyrbnov71WLyvO10i6ryYp74B7eTPePno5pQMN8kr76a//+OiPl/xXq45/f3/9M/6JH+iov7znOSiE2keCNP2aNZogkkoD3rQ6AFCzpmTktTkiIkix+CNDEStgL6KYpS80lF46momb8jUSSycW0qQdcyV4GMGISW6nVAfx1VEj1p0by3dthoVSmlhceUiozAXC+TYWkytMZ10ACFPqKgIz3qZtr/NUSevfZz08QRq5kmjlmi8dcdyJrLIKb+02ZXYwnO5qvHB8Ha/YFl2rIuWyo1cFjUzKyybh7biTbPkg2rHJmumFPmKm0bCnpVKZ2CZvskJi4BKirIc+OjikRDFS/0039NOb+yf1Je8KHf00Z7lhQvX8hvXr/hf2u/S7MW+mFnPLBsZo+axK9n1BX/p6hV9sHz27pofPHnHi80OHyWLdHuo6OaWwkqCUzNmND4754X+6CdPMZXnu6s77vo5d6347XPruetmUlT7nBAV83xg1xbUdcFXUXgu6MTmyZ4YNYui56EpObxZCHp5VKgAYxXJNp2YkoImBM0/fHzBv7j+kk+XDzzkFR/Ntvzd159wORPtOSQtREcvhb4dLfcHWQDrW0dM8G995/fY2Jo3w4puihj8+y8/RqmEdbKxuqg66tbyw998Sesd7w7zM4+kKWWb+vJJzQfz3TmI5KGvuDksGFvJys21JzeepeuYm543o7hjVnnHXTNjlg0YLUEyKcrrQ6l0lsliUhzHnMNQcJUf6aM9x9C9bDY8diXN4PiD+2ueLQ50wVIYz6fueJZqnApcOdmsXZlWQrwpzzcU4KyrNyFnlXUiA6LPi0wPfsbKtH+kJHw9Hk+TzrTIb2TE+WfLfvlvgX8P+OvTr//N1/7+P1JK/S1kULqbCv//APxnSqn19HF/FfiP/1mf5E/aqf/n/JwmuQCqNahRYRqFr5JIGy6hO6Etai8umJObJTVGZBMFKY/YyuMyf0bUzmcdj0cnN4yoxK5oxevuR4NOijiK7gkiwYxLOS2YRjNcBnSjGdcBuzPoIHf4pBNJKZKLmCzIYwdFqCKmNSSLbL0OEB4leEOKu0I9OFRjSNXp60i4+YAfDcMho7GBKh8xKsm237I7+6wPjfjKVSld6ifzh/PWYusdi7yn827aEg3UY8ldN2MMhsO01Tr0jviQQxmxy4Gq6vnOektlB3yUIOUv2/V5k/HLxwuai4xPZhJKDfDZ/hqA3/rwJX/v5Sd4b8is2BK3h4onqyPHPuPH+yvWRcOnV/e8rSdf9ZDxeCjJc88i77nvZuymMOpTmMZ3llv+8m/+byxMxx/UT3n0FTePC8E6eMN62TB4Q93khN6wjQp9sKjrno/XW1hvZWjYldzcLaieD7RNjp6PuNzjpyxU9hnDtkBVnrwcebo6yPr+1F1v8oaXxw25DbSjI9Py68OxYhgszgWxxwYBvmmT2B0q/scvf8CzxeFcWL+8XZMSfP/5LT9+e03wmstFTZbJ96z3lmGwk+12lNNc0qyLlpgUb+sl8ym0/FAXuHKcMME1X9RrXg+yrPS6XrFtSqp8oB8ti7zHmihzl0PBfVqwLwvuZzNKN+KMED5jUnxRr8mMSDA+ab7Yr9mUDd9d3fPysOahrWid47KoGZPhEIpzNy1dtEDKTrbLTVZPVlXJjQxJn900pRkF5BYzDtNQ9uvX14v5//P6xrwv31CnrpT6L5Eu+0op9RVS+/468F8ppf4D4CXw70wf/t8jTfCPkEb43wdIKT0opf5T4P+YPu4/OQ1N/2nXn6io/zwnuSBdOF7sftElkTrySMjEahiCEv3cSVFnNQG+4mRc8ZqUHNpMWqLS6MqLVU8lWRaaHBBplBSlU5qR7rQkDinwK48qAsZFYqmxLuJVRnZvMJ0iZIje3xjCyfaYRXTpGRSgk3jsWyV0SA/KJFw2Mj44cbNMm66xdgQtcXFeiTRy6rCsimy7knpwDN4yNBnloqMdLT6Kpr7tSrrRMnjLOBoul7Ukr6vEj3eXdIPDR41S0HVO0MEJ0lzQBwnOXee7ek7lRuohw+jIGDSHx4rHoufOzbhpFlgd+erhgmcXexqfsZhNkLH9jK4Y8F7CGq5nNatclopsLl/HscuJUfHp9cP5hPGPtk/ZHUti0PhRQj1OW6JGZRx8jlWBv/zx5zz0Mz6ebXk3QbYWVlb3f7y7IiTFr1++Pqfr3PczWYRaFLy5ucC4yPPrHb23PGwtoXOoXn5GXid6wG4iXx4uGCYL5aZsuG9m583eu+1CltUmAJxznpRgUfUcW3HQpATHuuD3Xq2ovrQcDcTrgHva8vs/ec5809B3jkOXs6la3h4WrKuWsbOQFN4b0jRjefmwZll1+Gko7qNGAUUuKIAfH694sxOv/0XesilqbnayJVwfCpkx9Y74mEFQmHcZw9xwf1NirzuK8v0W50u/pnCem4clzgWersT6ePQ5H8x3ND7jOOS8m14DnXdn/r7V7/NQnxc7Kj1Q6JFdKOmiozI9t4PsSPzqhYDGKj0IUG6iO37dtni6vl7cI+ImC0n/7PLL6cT8DVwppX/3j/mnf+Of8LEJ+A//mMf5m8Df/NN87p9FU/8zm+Qqpf4a8NcAzOYC5dUUupxIeYIiokwEo2TBZlTgLdGI9mwmOqIyaQqckDFLipph0OT5yGzeUScpnmeW+tRZo9N7noudfsoROa4OhjBISId3Mkgcngl6wBxFljGdwt44xlUk5VH0+yxiCo9eRkZKQQZkSdKZMo9+1snmYzCkCGSBMGiMVSzmLauyo3IDIYoGfrrGUZKQ9MSDafuMwnoOE/db0qAMhy5nkfUMxohfOxgOdXEeNMfGylwByItBBp5jRhgUD7sZt73BFRNgSsvN79Dl3No5r+4uZLmpdXRzy5t6Sd3mDJ0j1ZbZxZFl1VH3GW7acAR46CtyE9hP6OHcCu4Xn7FvC4ZtITfCPPDBbMeFa3kYZryJK1au4zvlPZUe2KyPaCIs4CHM2fmKra/4pdUt9/2Mh6HibS1FblPU9MHydHXgow+25Dpw28157EvUJrHdzQi9JrnphFjJ8LkbHH6UMHGtEt1o6TsnS2TA048f2B6qaeahsTYyz3vmec99XdE2OX6fkV+2/PJffMOH1SO59mxszd9+9wNKO3LTzNk3IlvlzvNQV2ibSLcZYSl4ZWsjQ2951y6Zzzt2XcGxzVFaXDr7vmDf5dTbkhcfPFD7aTdBR7o2w32Z43VO+qjjw++/IyTF7XaBeiiYf7xnWfRYHemD4Xa7oKp6rmc13aLhelafGf1DMFznR6yK1GMGSbHtKoyObIeSwni+W+y4cgf66Mgne+Krfs3jWPFh8f6ArlU6I3kPoTiHSDcxo+C9W+akqZ8CtoHzlurJ3vmzXe85Tv9fvr6RQek3PcmdrEF/AyD/5MMEU2Rnkd537WjB5c6iSCVhKsjjBPg63XW12APTyfI4PUsFzBcdRyAenBS0rztpJqpjsun8OLrVfN0qq1qNXyLH90XPsJAiFpRYD00jdkMAbCIEhZ4PsPSkg4RWp07T+wJdeVZzORaP3sjmaVIcpjd5TIo+SKBGMzrqLhMXQ9CEwXBsKkwZKMqBPgh6uG5yWaBSiU47HrOS45Czaye9O5OuvG8EK2xyOcReL2rGqM+OiarqOfSVFLBM6JZ2NUgnGcT/7u8K1HogJcX9oaLfFahWo1YjISrqruBi1jKb0p6+qi8Yg2Hf5cSoWc1aem/xWnM3ZoyjSGjZjSX/9SMXriWiqEPGYy/afL3MyI3nLy//EKcCd37Bq/6C3989Jbee6/woUXsT/MtHTT3Z8JrR8dDLivxuKHi3n/NkeaQtB442k4yVRvYZHu/m6L2gIqrLHqMjTxZH3jFnbAQQ9+5uyfMnQo08WSIfdEWImsx6fCtvtV978ZqZHfheccvGHvlJf81PbjcUxcii6LmcN2iVeFodGQpDkY3cqgVqmzPUFX0VKJa9IKijPu8S2EbTucTL2UwssIPm9Zu1BLOXI8NthW4V4yqSP234dLPlw5k831+/fM3fe/MdlkXPGDWVGyiswi9FrlxmHe+Oc+4n2aiYBsMRxSfV/Znh3gfLJ7MdKyfy0IeZKAU9ji+7zZmk+P3qHVpFCuW5zI58rjZnSeXrbpZjyDmEgo0VnMWpmJ8K+qnAG2TA+i1bGv/cXj9LUf9WJrmnS4+QtKzlJy1aeQwKrAxB1SSRpJNHfeKhRy+pQMq8tzz5CXSlVMLYSLTpjO2VWLp4TkpSE2sGJt3+a8XfzkbUtHDU1xkmi6T5iDYCTvIHOcpjEslG7GykLAdawO+caO8XAykqstyTO48P8kaunHQomQn03rJrCxKS8g5CETwcM0Jjz6eLsuqZ5SePcmLsLK4ayDLZahy8oQ7vrYspCbwstfbcEZ8GsZdlw2HI8UGO9iaLxNqCN6Qi4HvDq7sLyqoXWJmC+bxje6hEjx4VaR64ujziJ/jYarOl9U5slK14sct84OPNlkXWUdmBpe35vN5gzIzsztA/H3FJ8buPz7gs6inHVb7/P3q8YlM27GaypfiPj8+4cC2fTFF2tc/xSfPYl7LV2ZS8vrlA28R6VfNyuyZGxS8/ueGLmw1bW9J3DnfRMT4WMrsJCvfO4WdR/Ow68vZ2deYEnRn900mpsJ7vP7k7DxPLbKQdHKYIXD1/5FcWb/jt3Qf8rS//Jf61pz+S15GNLIueTdlQTH72f/jFC6q5MPNXi4bGBbpdjmoN48Mcd1Q01wG9Hph9dECpxPGLJdmdQY+WmCX8TKN7hdeyVZwsmEbT7XPuior9IKe5i6Llu+t7Gp/RjCKnjFGzOxY8uTgyswOZDWxKwSs0PqOyg3BzxhkfFI98dbgQLEI/I9OeF/mOm3HF/Shy4Cks4zRE1dPSmiZRTQN9pwKV6SmUp0uWK3ecyI/6p7rzU8cOMmw9PdY3AuP6JrhgP+frZynq38okl6Cwh4mfboE0sWBG8WonLZuVonvL8o9bDPjBEL0s9yQvcXPKisjuB4M2iTBqib5z8T0eYOK7YOWxTK2Jk8U26QkLoBPaRtGeg4aUBDdwGqyaQAyKbN0R/ESE3GX4xtIZ8ZXr5+KhN0aGoiHI8s/gDcZISPSJpBeiYpiSkmwuEszQW8EI20i27slzGXC1g8OaQNtPiIOo6TtNlo9UuSwPwbRFmxSxN2ClYPnOMrtoaUfHY1NyqAtIAgQD0OuBFCEdHaSEW/QctpUw6ReBw2P1ni2/HpgvOrrR0jY51axj3xc0g8PoxOO+QulIdJp3xzlmGVm4ni+aNS+34qWu80S26vHe8Op+xaskq+TX6wPbQ8XYW45lzo9mT/iw2PIH22vuH+Z8/ExsfW/rpaRFFTU/2V5y2FYs1+JWOTTCO0lRFpPyYuR4KHC5n4bOHkqp2ePTkc31nrrN2d4uUI1hnHvwGn00JA3zp0dmmfxsPn/YMPQWVOKjq0cuipbXwMNuxv+cfZ9/+9nv8F83v8FX3QVzO/B0dWCR9WTasx8K3h3mzBYdTV1Q70rSqNEHI43LaiQuoVtYVCESXacyrtYHLn7wji+/ukQ10007j8JBsu8XyMzLHPPKsW3WqPVAWQnOoTAjy6zjImt5HORE9+n1A8cx476fSfLSlGn72JfshoJdWzB4y1/54HP+zef/mK+6tcQZjgWvkfi9Njie5AeamOGj5lm+I9eCJH7wMz5vLlm57j2mV3m0ijQ+Z+srqml5CfgjXvTThqlQIL8B0eFP51P/c3v9SS2NP7dJLgmilWHpKSQ6nSSN02Zmr2HiNqUikBI/5V4BBN+rJdA5ofAe6XCdcGNSHlC1RWkmRrr8u20U0YsVUUeJjksuvt8iZcIGjEp46xpCbwS0lZiGs5pop6GuN3RBU1Y94yhUwK53GBPxUdb4h8ESTKTKRkni8ZaUwLkgmvogzBezEICV1pFhsCSnGEdD43N5foBvLLqQ55CbCZ8waMEKdEZexEZOLJcbWWCqByd+9y5jvC1xTxviIAtRRIXdGfxGrHpq7+TkYhKp19hHQywEOTyOhuAN2gQO24quyLAu0NUZqTe4hazCfzDfsetLbrs5rXesShn6jk9GeMwxe0v+IHiI4SLyprfY3PPJ83tmbmBpWxam419/8Rm/XX7AFw9rvrpdEx5yUhm4uDrS9o6PXjzwUFc0R0EqA6TK88XdmuFBThexKeRbMr28xgvBNfejo98W2J1FfVyTosZHdR6i72/mHPIKVKKcNn1TVDy2BVrB8bEiNYZxYwgo9l3OjVvye23F4A13xxkxKro2Iz1kcDFSzXsan6NLj56NIuH0Bl3KIDa15mzJHbzBuMR3PrrjZreQG1aCuHeUl+3ZIdRfW+zeiHvsTUHrcl4+ccRrRWlHQtS8mO34ZP7A0WfQTHA1E85+/H7CHHy8euTD6pE6ZBxDzq/MX7HzFauJ9HgMBXPT0cRssi0KHgDErfIwzvi4fCCgedcv2LgapzyHKL7ztW3OaVWn/2NIGBUIqJ+SY74RoBffnPvl53n9Sd0vP7dJLpNrBGS7NJkkRICT1m1E+8arM2wrjAalExRB1urTVIA78x4xkEDZCRNwKv5ff8xWHC3KQ5whA9cAyYNKWrY/FXJcG7VQIJOSm8OgiUdHKuVxq2WHt9PwVkmSjVEJPxV0paSQkxRZPkqAdCYLGWPQeK/x3pxDNMZeIGChNbQxE8dF5oXXnXm6qIh1fh74ap1YVB27thAf82xk8JY6FDKojdPwMynuj5Uw2J2XwdPcyzDWBnQVGTuLX8nXHhuL8RDWI9VFS/NYokcIi4TNAv19SbbpKPKR8bFg9JrRJBgkfCTLZaC7cyWfffkUZSLzRUdmA4+7GWYrKOGYJZpPPBfPDqycpx0cn64fqOzAwnUEND9qnzBGwwfVjo9mj9Q+Y/+i4PVehrbrRcOz2Z4xanEQrY8cjiXjLmfojbB+XGRce3RrSErSs3SnidNJ6iS7hdFgbJTTokkSxDKbJD+TaB4q3EIWaPpRbpDoxOajR9rR8Xcfvsv3N3fctXNKN7I7FqjJ4RQ7w+zDI4uy42E/I68kjCRExbZeohpD9EqW8Cz4yuNrx8PuAopAMR+Ylz2UPdvdDPJI3zqWy5YYNX/pV37Cjx+uODxWsu/RGNJ9zpdpc4aFva5XZxfSzPV8dbg4h3AfJsmm95baZxM+dzzbFI2K9NExKsPcdBgiC92xMSK/NDE/F/mQFE4H7nsp7ttRwjHGaLkZllzYhsqoicv+vkHTKsLXtPUwuV++kfSjf16K+s/1mgpZLOM5Lg6NDOymBaJEPH8l2k3+Wy2WRorJYRLUmc1y6tDTKZA6qGkIqsQu6RUE0fH9PEkk3sQoVxGSAX20Z06LSuArCb/AJFiO0BqSV9hKGOh55slsOIdP7/flmcWuTSQ0ViSQ0RC8LLycpJQY5XTS1QX6aCS04wT8SgqXjZT5QD86yU7tnOi8s0BejiyqjsqN7IOm7SX4Opw2aSPYhce5wKHJ6R8LzHzE6sh60XA/hW34ILRIpWXBi6AkGjBLmDLQHnPMoyU6SFkkeI1ZDQRv6FUiW3f4NxV6UPjNiCtFLnq6OGB15MWzLe8e5xx2pYRv38tSVpgHzHLk2eUOZ2Qj9rvX99wNM940S/auQKvEdX4UjoqWZKLPjk/og6XpZIO0Hy2ZDvxw/Y7bbk49ZjzcLYR7P2jUZS+vh1HL7EQlcUYBujb0hTvzf+znBeMmooJo1Mkm7N4QB00souB+k2JsHGMN+ZORJ1d7Cis3ap8MS9fx4fyRo8+5dxXjtCm8uBKmulEJrRPdUYbGWgu8zbTqLK+EDzuMThTLjuNjibvJ6HpDuFCkqOWU2GVEYLer0DZyGAs+unjkZoohvNvNGfY56Sbn4eDI1h11IXOZzlleH8VfbnTko9kjW1fypl6SWc+PX12zcB3rrAUa7tKcgOYn9SUL23OVH9nY+qdgXGMStswx5DgVedsvZVlKSVPSJYfTntlkhTw5hCKcve0k/VO+9IiapODurwAAIABJREFU4F//P6jI38D157+oM8lcLqKyKGwWL5axmKlzoU9BY3OPNhE/WtF+p6GpKrzIMREpRl7BcFrnnyLwLILQHcRvbjoti07Tqna2GunvS3Qrw6ekJGXpBPjSg6AA1DRINQvJInWZdLz9YBlGK5zyoDFWCp92QbzIIB+fe3xvaY85s2VH22eSYNRaKaJLj3KiLWbFyHImuvWhLjCThTMFhZ6PlDOh/D0eSoq1pBUZnahVItjAcMim6DYlkgSgS4+1gYemJEZ93jpUSoaGqZtuBllEdZroknBqDtPpYS7Fx2aBLPPUrxb0pUFnQWBr64CtPKt5y1VVc1vP6b34ra8vjtzt5oQvK0xQsplbBD59dsdlUZNpLwCypHmSH9DI+v7jWHLTLeijPRf2TdZQGvFtn5xD/+Ddcz5Zb6nHjH2XU8wHimxkt52R5R5VJNpdQbHsGTpLKOxZ8mPvyO/la+8/6bG5J76Wk8lwEVFfOxUqnRgPmQzR5yNNl/N0deDt4wJrIy/mO7pgWbiehesY1sKVD9OSlvcy7whBYfNA8NKV2r0h5gKSC09HZpVIb94bluuGrhpR70rGOmPzZE/hPI9uKqaDBKssXMduKCmdIAo+vtry4/6aqBLKCsZ4t6vYH0o+uH7kqqq5yFqe5vtzJ/yuWXBRtDz/dE9lBzZZzcq2jMnwVXPBynVcZwdy7Xk3yHKZ1fGcVjQmwQ9olXgYZly6+uxR76OjiRlPsj3HUFDokYCiidl5O/XrV/ypRaSfXYL550Z++bleNhHXkjBkMy9MDp1kdXpyu2iT0NMwxY+WGJSEC6SvsRxOP3slv0+TpKM7LZp9FlG9dOun47fpFMlJIRsSuIueMXeo2kiHFqciZgOxM2KBBFQeJWlmClnQOjIeM2G+FOb8NGwWzpZDN5fuKIZTXJ/lGCrR6juDsolURPJFLxJL58gyj9GRwnn63p23GNGikbd1hpoWmDpvGSfMQJGNHJscU3lJ+Dm66Xskvvs885TZSN2/54zbapSbTxYlfm+YlrIS6L2Eg4QyklzELkZW85amz0g6oY4WgpV1gGSIpWf0hl1f0I2W47aSm6+NZ5eGOyq665HN1YFmdHz18AFV0fN0fqQZBRg2BImvy3VgDIaHXhLvA6Kxflw+8DTfc9MvGZPmsqj5fLehH6WDX846Bm9w5cjlomYIQvIcekvaZ/JSabWczEbwVSLMhJ/ve4sGGaKbRD4bePHhjneHOZn1tEVG+1hAVHSPBXcmYm3kw4tHrvKaPzxckunA63rFEA11L4PEPPP0g+WTqwdC0oxB9Pb67Uxez1kiLj0Xl8czkROgzMQS6RcNz2YHHrqK0o7chxmLqmfvDTbz3DQLDl2On2yzV/OaD5+KZ3zXFhz2JamT1//r+xXl0/FMUqzHnNt+fr5RAjwv9hR6pJu676f5gSfZHkOii45X3QWlGbnKjucloq8nFi3t+yKtVTpbG9/2KynwZmBl25+yNv50IX/vqPmZr8SfNSbgW7n+/Bf1aeCttGjlcdLL0+RJR6f3wdNTYSDJ4JKpcyUikkoeICb5Ny3r/yLrpLNmTuS9F12B22tCoQhJZrEmDyQX8JWRYtZp0kUQ1stR7IWpM3ggqwbGWpaiTvmnJ5klBo3v3XlQ6ZEi7zJBGvSd2BVVr0lzL9LHVBgAsixQOM+xE0RASoiTxcsLfgzvX5zGBkZvsCZSdxkpKYpinCQeQ1LiUXeZdOkJOW7H6aTjqvH8M9AuEjorTJwsohqBlPlFgDK8D9oercCwgjpDzHSriJcDSieaLhPUbz6w3NQc9iVxP9EHOyVLXIVnDIbH3YyyGjA6SWpPl6NUYpYP/OHhkhD1xDyJZ8DXeSlFpfMyTKY9F0VLZx0XVSv/1pQsZx0zN/DYrOS0Q2AsA8kILE73Cj3Kac7uNWOh0TtLeaPpLhP5qiNzsqT0YrlnXTQ89iW3+UwGrJ0jBM2Hm0c67/i9x6d03vLQVjw8zmWgrpMoi1OreBhyVnnHYcoEwArsLWWRi6sjF1VL563clEygsJ551vN7Xz3j9n5xvplfzFsyE5ithYNTuZFV3vFBteO+r/jtv/89zLOGf+H5DZ23HJUkey3WDTGKM8knzcfzLaURJv1F1TC3A1YFvmwk23Zhe344f8PduMCQyPXIzbhkkzXMTH+2K47RThKMuF2WEwqgj5Y/OD45p0WVduRpccDqcO7Qcz1KrqmKjNGdX99jNO+btp/1+kWn/i1cQaF3U/jzyXLklQCyZENYOhibJvb5NLQsonS3nZ60dITIWAYp7qMmJbkpqEw2VIOTQq0i2FZQvyFP08DU4leKoNOZYZ3WIxws7C0sPepiOCcVaRcJ3mBLT7jPSasRpcQ6GGuHGoTbLjMBRDrSib7LsM5LrqiNJKswpSebCq4Cut7hB8M4mumkEvHToFVVnqwYGXtx8mgjbqAiG2n6DO81xiRi1OebAYhjJ3rFYCzzeYdRotcbI9/Hvssku3W6uVBFUmskFWqabeA1wz5nUIl82TO27hy7p4KCRkFt4TZjmAXyK+nSjI4iO91n5+H08OHA9apmdywxJmJ0JDOB+8OMobO43HOIObNsoHIDu77gOGSSoJQ3aJKk7iCdXWlG2uC4yFuy8oBRiW1f0WeWedZT2YGrec3tYcY4Ojk5dKKXqyjPSafp9dZryneaYZkIz3viYMW6CuynxCeA763v6YLjMORyUgqGwo7njeDbmxVPnz0yeIOPmmGweC/pVa/3l4wfPk4yzIR1NgkzG1Eq8dhIutQiH9g2JdtGovV+6cU7sql7/3y7ZnuoWM46YgJnhXb4QbXjab7nwjV89p1rnAn8g5cfiE03aNTBsvmgPSc2PbYFIV6yKepJP4e37YIuuIlwGZnZgS+7DWvXcDfOybXny2bNwnVolfii3eB0OEfdaZXI8axsw+fdFbXP6YKjUgOXhQxVc+15nu1oYkafLBVyc+iS/SPExlPI9c96/UJ++TYul+CqF1ZKnDTdoAjLIDpmY8+8FECkjKed+NQbK4Mwk8R2EtXZAaPygK48cdSkQcIxUIik4BXDKpFyGXqF3mB2RqSaIgpBsbGi869G+X0vmn5xMcinikr4Gl6RZgGOljj9P3U6Kax6cev0hrHOUE7gT3FamyfK4lNoLX1UUMjjBi8nlmSjrK4nkZuUixgbyTJPmUt0W0qKedHTDY62cwRvUFPr3DcOdbSkWaBcdudk+3nR89gWlPmAM1ES7p0/B0ykVrDFapQdgVBF1OQAimVEzcJ7W+gk6aSgCJXckGMeoZTTyuFYEkZNtegZykj+YCV71iTu7hfT55oWyoDurgSdGIIEoHx5u2bsLDYPfHi9JaIISbEbC+qQcZVJgWiDY4jmvDijVeK2nXHscqyOPCkPZF/ztO+GGelCbtrRyY09AbZVmN4Schmip8aiGk24GsgKGXAehpwxGPpgua8rLmcNRiV2bcGYC6XwsmwITzXN4Og6x2bZUEzOntpraBy3b1esrw+T1CjWydBYdjdr4sITr+pzIfPe0I6OjxdbtEq8qlfkNnA5a3j7uMQ5jzPiXrkxCz7bXVO5gX/5+Rd8ftywLHq+eLtB2Uhael7frxg7y+bqwKZqMSpSWbkxntDCt7s5fjRcrGpC1JS24vKiZm56tr5ikzX00eKU8OU/Oz5h4brzUtjCyjB0N5YsbMcnswesDgzRoklcZ+JvH6N09prEyjY/5Uk/BWSE6VT2M1+/KOrfwpVENz85EwAZaNbiFtCzkTR5gvFSCIM3xMFMVkdZKFJJ0KppWipKNhKmhR41aOnkFXLjUPI51KCk83eRcBkx924ayircRYcxiXGwxMqTelmXD20mdsrT0z9F2JlEqiXsg6Un9ZpUOwmhWHY0DxXpaAka0lwi+M4xeAiozHstwdPj9JyCJgUlzpQJeHZyzvikzvq50bLgZCfNepw2IVNjYSYnoNOAsCp6gYQNFlfKhqk1gejUNIBWU0iJ+PXP1xTJd3LIKHVaeBErZhoEXUyeSJXH5oFxn52zXxsluIXuWqF7TTqKn1oH0bKHWDBQyM29lJvEeMhx84Fy0dN3jmMvw95Mew5jge+lgN40cwZveD45bd7US45dTl0XFOXAb1x+JWz5KK+v3HlW6xofNcdxhr23+EqG6ADFPQxLIApKAA3ayALavsvPQd9KJZwNdN7yfLbnTVqyPVaU+cC7WuBjMhuRzjozAVNExtHQd/IzfXyYkwZZctKjyFJxHnDzga6XuYpWic1E7NQqceFa3CJQlxn/6vpH/Bfjb9EMYp3NTOAia7htZny6PEioxW4hvBon7qvkFS9e7Pil1S3boaTxGZu8OdsPe2/JredXX7wmJoVPctKofcYX7Yar/CjYhpAJqz9TXGQND71sl+bG86uzV2gVeduvaIMjJMXT/EAbMjauZmUb3vYr9lMC07N8JwTIIOlLlRkk22aSceCb4an/oqh/G1eaCkJQZ0tZmgXpwKPC5R5j5I1w0ptTUqT4fuahaoMexO98crukwZEMUmwzsUSqURC8SaXpZAB4TTIBkiI+GUQ37w3BRmZlKxp0UrQ6O78g4mBkU1UllIukNHnBvZpkCI3SEOcekwfZHN00tMec1BvRxjMEgdBY8eTmCpDlHzXRJFP/Hg2c3HT6sJGhdwLIKkSHDlEGbn3nzl73OG3QahcwVhawynzAB8M4YQTaPiNGTze49wwbEDtpISca1Rvh8dhE1FOx95p+zFC1xR40ITjMIOx53SmC0xQXLb1K+NtCZLNaPOmmES692ksYii8SSSf0oIlZhOXIfNkKANMGdoeS1azl8krQAJUd2PUlMSlWWcc/fPPinFP72c012TS8PkUXXlQtb7slnXdkxvPFfs3joZwsgZHiomOcGRlOH3PSu4x8+35OAHK6i40lDJoxNxTFeNbsw9RJ12PO9iA+bDfJSQpZKOs60d2tCzgnMpzKA6kz6DuH9gpfRRhlF0MXnmfrA84EZm6g9xZnAvdtxR9sr9mUDX9h+Y4n+YH/9fF7bA8VWid0Id75/VDy6fKB227ODxY32BeBV/UFL99tSLVFlYFtU/I74Rkhan64ucGpyG4sZDksa7E6/pQ985RTWpqRx7Fkbnra4Pi1xSuOIWduB4YoDHk9hWesTMs7teQqq4kIgfN1u+T390+4LGqeFXucDuR6ZExGmDAk+mipjKQwNfFU4H/2aqzSL+SXb+cKCrMTySLmQmk86d5JIx2NQlwZi/5cfGwWsNXAOBrGlMkwc+oyIw7dKUytSFoRZpCqQEpiFztllOpBC5Z3ishLJejFiNJCMuwGR4yKzbIms566zUlREUBQrBpSOw0Leym8cRbksbQ4XrIs0A1ShG3uGWuLag2xnAIz5gHVGlLQhMAELZue43TzSZV8bWnUhKjQLlJWg0S3RUU9ZJO0gshBnUG3hlgGlEloIyeBMRjmRc/Ol/J8rKeeuk5jYKwNppA8z7GzoBX6YiDUFqblKz1CKBRuPjAmJfPpW8OwEpSDWsvad99b0fXnAXU0uL3B1orkoN8E0eLnHlt5fP/+LatP6+5aKIjXs+O5wMSkKMyILWTYthsKrpdHbvdzQtBnJEOKSjg2WeSxKbnbz3i+FsveLBsYS8PjzWKSvyJuNtLuCpSRnYX+6DADZFstlsZlwl+K3fY0gG4GR5XJhmaIGpX1zEqxlA7esCpHMh3Y6YKq6jnuSnzt6KbXr5qstyooxlVAlQGfGdyDYVTiVFlXLQ+t3Cj2h5wXyz33zYzjkPNVI0iFrw4XvNjseGwkoAITKOxIaUZmduBVd8GPt1c8bGdEr3nx6R1PqwNfHS743uoepwPbvqKYHC+58VOKlthL17Y5b3N20VHpgb0vOIaclWt56nY4PeNNv+Iqq2mD47PdNT5pvj+7BeBiCrlug+NZeeB78zvakFH7nE1W8zhKtz43PX2SzlyT2IWS2ud8nD+gVfxmOvVfuF++pStBLJIcd3stmuzkXgHAJFw1CCu9n+SJLE7as6Sxx8lJghKbGjrhZwk9gj1oYqcJ80CySRwtJp23VnUnDo+QiX0SoO/FqWFs4PZhKcUC5Dg8eeXDoKWrrQ1xPllqXIQiQG9IUdMcLdrK20KpJDeNdzkcDGFKQkoKKeS9RvdaTgBRib1uOVKU41l2UUpuOJn19FPHLTzvyWs+GslwXY0waEJjSbnC2EiRCZI3Td70vncT+EyGtHGuzmTHsXUoG4kTdx4Dqhc+j+oN8bGCKqIGxThLZx1d6yguJq+FnVIbsgfpzpODcS7B4kklVGcIU/AJtYXJ+z8MlgE5kdl55Hm5pw4Z266i8RmZDsxcz9BXHPuMGBV5PnI9r4XKmBXcHDK0jdS7gtmqY5033DQLtkfpatWohWkzU/hMvPe69IRpfuP2oAsYLmTD2d1bfGkIhedi3nBZSqHaTmCvzAS+s9rypl7SjZYvb9dsVjWF8zS9E9nKRdJosEfD/KVChUT7RBFm067AoBivPHY+0g+W2oq1M0TFougJSZNbT249l5Ncsso6fry74vFhdpbBvig30nBEQU/Pnx653BwxOrIuWj67v2ZZdhzHnF9avKMPlpt2wdPywGXesJw86buxxEdzLsq1z/mw2vJFu6EOEmr+d3bf53mx4yo7svcFVgeuyiOdd/yovmZmBj4uH8QZkxbMVM9NvzgndAnoK/KmX/Fx+XCO2OuT5VV7wfNCWDLmGwIF/KJT/5aumMl3OhVScHWviRcj+XwQK9+ko2udxKcNJK8JA2SLAWMibT/xLlrxVyctbpmokEFcQpgmKyns6mTZm24cYRHkTT3Kgol2kRQV4zFDZZHFsqNpctr9lJdoBVkgCykTnwagn/zdNuJ7A50RS2YW0S4IaKxImKOW/zNMHb+LpHkgrsZzd52OEnIwjoaylJvaCUPQTsVMnxALk5sFL1+XyQPZoj87XE5dfZgWjUA4NQB9l1FWPZulROcN3ohds7coA6FDhqRLf06pcgeN6SXXNU2BIa4QnHD0Mh+xj5ZsOw36Zgk/T8SFf8+3rw2pM5j5iMqC5LHmnr63XK5q9IQkHpOm8467RrrWIRqRm7w9c3OMSpMF0HJscznx3Oew9Pzw+oYhCtY4JcXQG+xly2hzsZQ2FvJAvMthujkPK+ieRtLFKMNcnZg/kSKtVaL1jkOf04+WrnO83K759aev+OH6HZ89XuO9OeOTMxso1keOTcG4c5hWsfthkNcJ8rqMg+Lilx4EdNZnNE3Odl9NwdgiRWkSpRtZuI7SDHzVXDBES+Ukb1a/LrCNQo1OTkTryK/8+kt+bfWK+ZQL+t38Hb+3fkGuPC+7DTf9gv/95Xf46Ho7ZarGsyVx42rmVv7f237Jl/WaH1Rv+bS6492wOAdktMExt/05AvF78zueZzv+r8OH5Maz98VU8GW/4+Nyy5U7MCbDy/aKme25zI40IWM1+dpv+gucDnyQb8/Ol2+krP+iqH8L11R09aBQLYRZRK0G8tyfPyRMxMGkRCOOXjR4UwaxgwGzdUtzzIlJjt3KiICmtLhPVG8EDdBqYinRdSnI75lSgWI9cdfTlJmRQOcBmwWG0U7cFnlhnZ4DQcIwTu4FtKzVGxvkRlSOjE02ZaFGIKHXPcEXuIMilBA2IyYT2eGUZ6l1pLgeGEcrSU1MwdG9FWhX67CZYAlCEPzwGXBmxFEzAot5yzwfaEfHGMQmOSt7WjK62qBMwkwr5U2fyZsnKuJks4uj3BnjTOYOKYukoBjWyGDxhHVQMsSNvTkjBtxBEfMpzcpNgeFB4So5ecRpyByOjmzV41xglg88Wx6ISWFVJKKEBugdbZ/xk2PJZlVz7HLmRT/JLfJ1N31GSLIMpHuNedpyuWz46iBSRTPJaX4UiqdbDoy1Q9WW5E62TMO4jFSv9RnoZxpN+d29bOb2jt4btr6iqyU8wuaeVdnRBcd+KIQbPxr8YPCFxw/yfY7bnPLtZNF71AzPR5SLVM8OlNnIRdFyW8/oOoebhppFNqJ15OZ2RfH8nueVyEh9tFwXR2LS/M7DM55d7Vh/+Jb7CSC2LHr+wuodMWl+VF/za8tXAHTJMTcdO1/RBkcXHL/x0VcAHHxOpgP3QaIS/8LyHa87Ka4/qG7YjSVf9Bs+Ke5Y25pjKBiT4aZf8Lu752QmUJqRSg8EFNeZSGeVHnjdrzAx8TTbA3A3LniePfKX5i/5athwDDmVGdAk3g5Lvmou+IvL11R6oImyJPczWxp/oal/S5dKpCoQ9eTVLaWbPckbavJNSwydfDydgYm3rg2MnWU4ZtIBukg2H2T55+ig16g4MTUAIphO1rEnt5R42QfBA8RcBqupM/83e28Wa9uW3nf9RjO71e/u9LerutW4i+3ExrEdQ0SC5AciAwIlINFDZPEA4gUUgRSEeIlA4oFIQZaMQhDCQBxBJBQpiRKRALZRVcpFWanGtz/nnm63q5vtaHj4xpr72jiuqltXtkvUlI7OOXuvZq651vrGN/7fv8HM5QvlD3g3gn2PBmG/DZ8zUzd2wcYIHdG1oiglyNY4migxfFLfhUp3k4kHynRA6UC7y8edgjaR5WJPjIp9k0IxgkJlgbLqMUqEPv1HWDg694mtkc5FB5zXCaJBQqh7Uadq68kOUnNnGHqLzcQbJXqBBSi9iLKSR01sZVdEexDtSDh3TAsBQWFrUfIOy0CYOdlROZPgnIjSyAJqIvm0Z1L2HE9rrAosi4bLVpgUR4UIfTZ9wdGsZtNIeLUxgWne/5Yv+r7JhTraaMLccbKocV4w70iC1CJU045mV+BdJjubQphIelBEL+Hi/QKKaw1XBe2rknXqdxY1aOxOEwxQiljIKTOqMOshl+f0sgMYdpl4Bu01xaVcn34lsGB2njGcOrbrimFqeHVxTWkcjwHnDY+Ob1JQRGRe9JKwNGS8uboYaYFP9iucN/zE3fex2rPKZ7xo5vzEyXt8tpTgsl/dvsnXdvf4/Ow532ju8aRd8eF+JclLOjAvelZFg1aB82bGUVHz5vycEBVvVBcAfHV/n7ntJMEo5GTK82G3wkVD6zNem11xr9hwPUzIlKcL0r0PaWj6WnnFu82pRN8lbvp77eltxF00FEpgl6fNEk1k4yqBgZzs0PwnoUD6XlH/PTiMMEjMdBhN8H1KkSFRD0NvRjqjqmQ7qnaGaCUFSQUFmQh/VC6wQrgoMIMIjFQEXwllTYHAMgnyUWm4avYCo1in8E742L41+EEeQJX+Npyj8CLi2OlbS4JCHu/Qyfe9xZhA0BG/y9CtRu0TFKMjLB19Jbiu8oCVIu76TLr2tMsoikE8WhAmxWDsGFGnkLSfQ+A2pdwvDIboI5NFS5E5dl0hAhgntEytZeSkdMQmT/dDqIhw6JPbpI4oLewfhexcDuZpalAJ5hKFbshT/mov8JkvIsPCQxHQuXSdYW8pj1tWs4RHZxPcINdpUvS82Mzp2ozZtGVZtdx0JX0wvFjPaa4qGSgXAT0bcL1hP8nxQZFbx7wQm98LNaPvSug05y8XTJet7DzSjsZvcglQS4ZxapBrWVwYTAvdCTLQ1VFmBVOPqRw8K7FJf+CmAeZOBt+t5dX7V9ydbLjpJ+J2mA/UWY5fRlHnhlu7iv5zLVnpBNq6yIVOeQItOesU9lFmjkFHzsodtcvFZqDP2W9LtjsJ4v78kWTWBBQ/ff8d8WYJhhfNnGbI+H/WD7kapljlednOCFHxtd09jvM9721OeH1xycPpDUZFntUL3ro85dHqhofTNZn2uBRw8XKY87xdcNNVvDK9EYjENCm8InLRTpnanr0rOFdzhmA4ympqL/THygw8KG84tjuo4N3mlDv5hqVpOLJ76pCPEMwQDdfDhFx7jvKGm6Ea/WEOw/3v9Phtlu3f2WMp9e8D/xbyyf8KYkN+H/gl4AT4IvAvxxh7pVQB/BXgjwCXwJ+OMb73cZ73D35RTwZVISQ/Fx3lz8GhsdeYqROvb4dg2Brprg7BGSaSZeIpnuWOEBTmXs1wXo3dN14oj9qBrwKmTjsDBbGIYjcLMjjtxJI1eiVdFklCbyIxBGJvULknlgq9N5KrGkU4glMpaEMCs3XpJAS78MRNNhYmTMTMB3zMhEcfJNDiMJyMQY9BHX2aJwyDGYVY2gaaNiMmD/hD924zKcKuE56/DxprPNZIUVdA8EauZ8Ljc+vpBivFrzMMiATdZD558STP+MaOu5NQCSNHOTVaITBomWnYKB47rZxbGLQwPYJkaXaDZZIPAgPpSN9l9KWl3hXExrBXke2+5GhRs8xb+pnBGPGUH1orPjxZkBSmWmic8Xgn75OKAr/t5b3Yu0nC62UeoyYObjLorNgzDIbJhzIob08ivpL3jgB2r9GDxQVFda3F0fNeNwrkAN589SVHRZ0GuCLlpy9GleeGCW6doztFtlPE5wW4AlWJ51HcZOAVxUT0Buuu5MXlklfuCCWxc4KZO69ZLBrmd27YdTkvmjmvz674zOKcmRFG03u7E4wSQ7Ha5Vz1E1zQTGzPTT8BBp63C37k5AkvuzlPtis+szrntZnEHtyptqyyhq9cP+D1+RXH2Z4vXr5KiIpF0Y4WDR92Kzyaie55UK1xwTAtOsHJg6WLlhs34dXqitNsJwUdOM22BBTPuyUL247Rdg+KG4ZoRtpjYRyZ9pzlW9au4nKYEqL+BDJKP7lDKfUQ+HeB748xNkqp/wn4M0jWxH8ZY/wlpdR/DfybwF9Kf1/HGN9USv0Z4C8Af/rjPPd3QVEHUqgDRhKHDvavMRVIX9vEB5fbHtSntFJ0dSEYrUrMFdcnmCQPxJUjbtMXv/ISZtFK0IPupNDEQPJaT9j67JDIoVAmoLNAUQz0KW1INRpaDZkMCU0tnPKYReLUwaAxlcM3tywQbICpR28sIOcWjLxmFdJiZSORWxhFHZyDvWYYFH4wiRaZE5xG50HKluOlAAAgAElEQVR2kzG5R0ZuGTLTnr7LqHVkNWnGlKWutwy9HQebRfJ1d4ORjt8pVCmufwBlJbTRkHx4DkyYgzWDGKdpVGPE3VILr1sPCZqJoPaaUERCGWi2JV3u6Qpxqoy9FOhdU4ja1mn8i4pQCR3Q6MDgNW2T45M6WO8MYeFkZpEFTo4k/GMIms12InOOyo/nG7uUTmUiOCOc+kRlLS4NKkB7FnGLtIAnX/+oQPeCqbuZ7EpYZ1AGTOVYLWqOiprH2xXrfcVnz855uZ9Rdzltk2Osx21y7MZQXijak4juxdrZ9ApdeKrXavbbknZb8NWrh2KWluC2ZsiIiPeJNRJXeLWfcDrbUw8i/DkMIi+6GV99fpez5Y7ceD43f8HGVby1OeWSKW8uLnBRc9VNuDEVm77k+45eUJme5+2CRS4eLUdZzQ8ff8h6qPBoXp1fYVRkmTU8bZYMyZKhD5Ynw4ofX73PlZsKPdHuybT4+TQ+o/MLHhbX3PgJpRJ/oUIP3CvWhOSRfuWmPGuX7H0+0iivuwlD1vFGdc7LfkEfLFPTf3L15pM7LFAppQZgAjwD/kngX0q//2+B/wQp6j+X/g3wV4G/qJRSKZ/i237SP9hHRDrbKEPHMNzamzJoMejSUXD1KAU9WmGXqCxgEvYcvUbpQFdn8m8TsLNBGCMTBzvpkokG7UR4FDIpyHmtCLlmWAh/ms5IsVLCQ/fB0/QCcegsEI97SRVK2Hq0qXPNA/lkEBhlEPMtVUsnGwsp1KEM2LXBR2G8qF6naxDHjlJpMenKMi/dOaTYvNQVp0I1fATbP0BCsZEdjjdmzG1tBsu+KdIANBXoIAuAD3qMs4spHtBvMtTEkZXiFR+8DPqUlqIXQ3pNIF1tL7RRXyVIKwnJgpW5RcgCKkjnHiJ4p6g3aQZioyxUg8FvM1QAUyvCXBSySkUR8yQRWDmv2fsp5irDHwsL6WZbUZWSIrVc7Bmmhu3FFF3enu9BsawGUebe8sShvh9k2J3JZ0qpCF7jgGwjwja7F7Wnn4IqPNZ6cuN5vl9wuZ5yvKhpXMaQ4g2DV4QhQzm5b3sWyT+9GS0mvNdYE2jbjOWy5uZ6SkQTvOLq2ZL6qOVkvuf8eo42gaG3/Ohrj1lmLV+/ucOnlhd86eVD1usJcZOTXWv6Y8/09IrzeopVJ+yHgpu6ou3Fi+Vzy5fk2nPRzsi1p/EZjc9YdxUvdzNeW13zgTrmq1d3OU6UzZntaXzG02ZJ7y21y9EqMrMdR3lDHXIan/FBfYTVnvVQcZztmZp+FBW9157SB8uD4mY0YrsYZhgC7+5PCFHz+uySq35CoR1n5Q4XNX//8jNY5fnM/JyJ/gSK+rc3KD1VSn3hI///hRjjL4wPFeOHSqn/AvgAaIC/icAtNzHGA8vjCfAw/fsh8Djd1yml1ghEc/HtvoxvWtSVUv8N8E8DL2OMP5h+9p8DfwrogbeBfz3GeKOUeh34KvD1dPdfjTH+fLrPHwH+MlAhkXf/3re0CiU3RlFNJpmoT94oigRnpPi6w+0PQdJKJP1KkwpW8hDxoG28hXRUojhGwIgNL4d0mQz6pXTLatC3LJb0HMopIlLk9URgIFN6Yd4o0I1409gbi58GfB7wO5uKbyROkyFW8mWnCESrxcq2M2JOptPrSouZTrF09aYUul4hUn+loiwWvcZsDaZDZOUHVWbhMdUgw1SviEiHOys7FtOWwQldsY05wclHo+8NWSbMAp371FnLtc5zJw6EndjXHoaSKnXUCiSzNHmjH3j/cepw0wMmL0EhYRBoyZgoc4csYHM/CqNcnVz5gjyWSb7v51cLstwxrTr6TJwr1d0d7c1SaJPTnuANTSuwUlHKzgITRcOQwlLU3mBaeR9Mz6go9nmUmYAN2MolIVag7w1D6ivKZ7Kz6U9TSEpnMNMOH5UwXdoMuwpUVpSm66ZkyA3DtkhqURE1ZVExKQRK2fYlMSjuHG05X8+IXjM7qiXyjuQt5A2rRc3NV05RBt5fHfPK4ppV2XCToJXQWpRTfN/PvMPdSrzmnzZL+mBZFg2Fddy0FZ2zbIaSk2LPeih55/qEzXaC31l0Y1B3Wl5/dMlFNxsDqP+Pdz7NYl4zL3ruTYW14oLmxXbOndmOajrwbn0i4dZ5zctW+Oc3w4T75VqsBAahPg7apf/PaHyO1cKUeWN6SWWGMWhjiIbKCEb/mdlLFrbFJLuBT+T41ov6RYzxx/5Rv0xZzD8HvAHcAP8z8LPf6el9K8e30qn/ZeAvIiD+4fhbwJ9LK8pfQAKk/8P0u7djjD/yOzzOXwL+beDXkKL+s8Df+GZProD8wuAnEW8Vaq9HvNuXgpfrtXheh+TnrbzEyulUIOIhj9QeukjplGKXxDnTAbXsxRFvK6lBZm9w08SPPzgRghTYiBRYnwquimJUlbo976UzPnTqIYM4dxJ7lrbn2aTDtRmxlqJnGlGZhii+5KbR2LWRIW4hGHTsNSr32GTkpWwYKX+q9EQnlrBoCGc9PoK+lm4w9pq4t7jlQD7thdMfhYVjdRi9QbQWD5MDJqyUYOpDb3GHSLcoDJc2y+U7EGC4SencBwgGeQzVy6A3mnTt5kks5ZXg8Afefy7xdm4wGBtHyXzbZvhnE1kgFk5GBo3B9wZfyP3bbcXsUSe2rZcz8ds/cmBlltIFzVDnmNKJijWk13HA81uZw7gjB04x/YcWX0Jz53YhIs0hinIYdzQqWUx0Z55sLQuCnjoms46+t5xfz4leKI0A3zg/o8gcvRPhGRFMoyT/dmtodIlzmmnVY60sHlpFzpY7/EKR6cC+z2TGcFNwvsspFx1/+Ge+ziuVeKKHqPiwXbHpS1GYWs8/++qXeZRf8rXmATsvtMSLZsa5n1J3OZsXM/KVLEJvLAQ/LzLH5x8+Z5U3tN7yU0fv8CC75q+3P8J7l8e8enzNp+5e0LiM67qiHjIur2dkuWOSkpPe2Z4A8HC6Zmo7nAqc5Dt+c3eHt/ZnvDa5GqX/QzS8354wNR027RKEgy4B1M/bBbl2nOU7ChPYu4LKDAQUX1k/4k65I/7B4qn/SeDdGOM5gFLqrwE/DayUUjZ164+AD9PtPwReAZ4opSywRAam3/bxTYt6jPHvpQ78oz/7mx/5768C//zv9hhKqfvAIsb4q+n/fwX4Z/gWinrUMBwH7EZjWjE1GqbSPeU3QgH0pXzxzE4TMgk0CFj8EGTLnFgysZfFQLVGMGojQ7PgErNjL5Flqlf4ZRpgOi0hDzBy1A+CpINBmO6kMPskKlK1WOJ+VPFK6laVV8RO47SwZnSnMa3CzVOKkgel0+N7YeUcwihUfuttY2wQQ6xcdi/maYF2MMzTQlQb8pMWNe3p9rnE61ViOdz3kl9qJk4WiCBxb7c2r/IYWkes9eybXOYQaUcR84CeuBECakHooangH8zRDvBFVIn9UnmKcqDvJDgbl65PHkCpW3aNOwy9ZEcTJh5dm6S4FBgnxkRB9ApswKcBrclkjqAqT/a4oB40ejZItufO0CGWENl0wHUWZQJqKhbFrrcUj0v0EGnuCPZ/uPaYW/qn1gJNxWhk3oJw8nWnYSHMpv66FDhpOVBOeratwFvbfSkDdi+LiXIQjoQZpDcW1xjWqpId2sM9uy5n8MJKmlUd1+8cUz7cMb/f8Prqip88fofrYcp5P+dReT0KcK7bipvdhHurDc/7Bc/7BZnyfH19V7zyo6IbLNubCaqSsJZrNRm9Xu5PN4SouV+u+fr2Ln/7/PP84aPH3Cm3/MSj95kagV0+rJf0XkI+jld71ruS3HpOyj07V/D+9RH7Pufzxy94VN7go+ZhdcNVP6XxsvvaO2kIzvKtWA2onu1Q8mF3xMx0ifdeC30zwTMU4tA4Ny0/vno/FYtvVk1+90PxibJfPgD+qFJqgsAvfwL4AvB3kXr5S8C/Cvyv6fZ/Pf3/V9Lv/87HwdPhk8HU/w3gf/zI/99QSn0J2AD/cYzx7yN40ZOP3OajWNL/51BK/VngzwKY45UUTy0XfJiFsXB3Jw7VCH9YJdaHCoJh260mWEXURnJHiwTd9LKtJku319IVGhtwJuJuchn0OSVOjzbAzElBc9J5mlo8Y6KNo0lYqMLIzDkoV3WXBm4RyRSdDNIZ1vY2Cf6swwWFPs+l4CvkcUsZJiqnCEtHVg0YK8Pgbp+j82Q93BnMVuyEXQ7ZRjEsInZnGCYZtnBU844meYSALA7RCw2xyAZ6J6IjPyQfnYhQNJUwT4pyQCnw1oj1QWcI+4wB6fSN9YSJXC+Q+49ul4kthAacptsUAotsDW7mR+pgHDSNTzBUKqDjANbIwDnWAiWgItkBRho0qnL4oCkyR1EOQrksoV5mVE8swyKlTTnQDsJOM9wBXQqM5VqL7zPM1pCvob4vfiuxSt/wtPjYQjD4VdXSZo5dU9Ahu77+KJnN7TIGn6MCZA/2BK8lvzU5WobzMlFUI7aWHabqFSycIIaHAPM80r+Y0M1y8slAWQw8mG347I+fs8oaAkqCmXXPshSV5ZfXD7lqp3zwjbtkN5rTH3vBP3X3a5QpsGLvitH4y6hIbj33712TG09h3OhN3geLVpGJ7bgZJuTa0biKt/ZntC5j73LxhGnFT0aryIPFhruTDe1KBFatt9yv1iyylnc3x7yoFyxsx71izc5LgtLbm1O+/+g5uXYUCX7ZhYKg1Oj0aD6iYN24isr03Mk3KdQ6kilHHQr+zsXnaMIXv0mp+ibHt4ep/+4PFeOvKaX+KvAPkHydLwG/APxvwC8ppf6z9LNfTHf5ReC/U0q9BVwhTJmPdXxHRV0p9R+lE/7v04+eAa/GGC8Thv6/KKV+4Nt93DRw+AWA4rVHMRpRHPqpMFLQkaiFLhgmHj+NI9ShO1H6uUN+aFTi8AdSWDTEIjEfnLAlhqDwNkioxGIQ3LdJ6T5JFWp2qcs/UB8H+bm9kUIYiihB0zuRxwcThbaYC+PlkNakTIT5kHD05OlhAvFOJ1F2tfi2EwR2CUUYB5p9J5ztGBR+kwv3fm+Ee54LVDBkshC4pUPtLcOg0cuW4rShbzPYZujpwHIug65uEBVlnnvcwZYX5DGjkri7oCirXqCrHLFKCFLE674aqZLk3NJOE2RBYgQdqIy6F6GXm0VZaHUc2yNlw2jYhYoUuaO5nsmgfOFEVAby72R5oCon2HvyQDn0Nn1niaWnX6WFsYiEWSBbG0yn4DxjONLCdnLiBW8bGObps2OQnUGa4eAEftlHCbrOrCezHlVFmjT0xYtXD9uMOPGjzUIMCt+L5YFKLCpTy6Lfn3jiRBZQs+gJ1wVqkOExWYDG4LLA8fGa3DhOix1HtuZutubd7oz/8/pNCuP4scV7POuWfOnrr3P2xhUPZhue7+f8vYs3iVExzTp+aPl0TIO6n6iG133Fuq+Ew76Zs7+puDrb8MbqitZbdkPB3knU3nU7ofN2DPrIdKDtM3pn6AbLRT1huy/ROhK8pqp67s23zPOOdVfy1vaUp82CZd4ysSIMu+krAF6ZXPN+c4JWgRfNglnWcbfYcDVM+czkJUvbMDE9W19S+0JeB5GNK6nMwCJrP5GQjE+S/RJj/PPAn/9tP34H+Md+h9u2wL/wSTzvxy7qSql/DRmg/onDNiHG2AFd+vcXlVJvA59F8KJHH7n7R7Gk3/3QCF94K6fq51465kG29mrQxMwJzNJJtmIsD5xyhRpIXt/SSZGGoEQJWY5eEftELQR5U51CDRrtGItTyGVYGrLEhEhipJgWCruT7l26a1AahkoWoegy2con+IY8YEqPNl68Y64L+Z0GdCRMwi2fOypRHh5COSYxRe4p8FKghhMJo7a5Z7VIwp3NBGIqxhGsCRzNa8ydSOcsnTP0vRRsYMTSi0pcBr0zsnAg10kp0Ea27ZhkeLXJBP6aBlwpBVVn4tnue2F5KBthEChJd+JqOCzFtItBJ85+JCtl4TuYj2kdKDJHPXFjRKDqE6RlwggTKRPJcoePiiy9BpeG3wxawlSGZMGQdg9qAAq5hnpnCXmkuJIuvT3+yBwlceztopcZTLKc2Dc5D0/WOC9daqvFCll5RXTyGSAawtZKRqu5DTe3eyWmZ1GgNTWI26bNPTbzDEewSkrXMrk8PphteDBZ8+XLB8xtx/18jVaRN4pzXnZzvnFzxvfPngLwk9//1hjGfVLsx6/RdV+xcxJufVbsqMzAN/ZHPNssJKhknaEmnrO7a9rB8o3LM948vmDvcp7eLGjrnDAY8mnP5+695FPzS37j6j5NJ03Batrw8mqB0oF7qy2zvOPlfgZAaRw/dv8bnPeSiLR14o/UuAyrAloF3q+PuVduRjfGr2/vynBeRZ52YuOwsA0X3Yy7xYYuWF4vLyn1wMt+zsPqhqn9ZBgw3+3HxyrqSqmfBf4D4J+IMdYf+fkZcBVj9EqpTwGfAd6JMV4ppTZKqT+KDEr/FeC/+taeLGLygD6TNKPsoD5Uqcg1Rrw5itSZJ0l/NKkgZmIzwCGkoZdCohLfPXRJKOSES52tRdmnEqUxHoRMh2FfVJidfNn17dpBf+wxjSbkURYenfjqLkEqJqIqhzIxFVpFuyvQpReM+lwKKEHfPreNifJmCDYSckk16qMSi4RBCxaPvO6y6mXYqSLLeU2WinCbwkB80KADIUpSTvBiVxsG4fArRYrSiwxOdkRm6qgmHcNgxZphZ0dzMnc6QKcxO02sNXESCL0WW4AkNsLLoJjktcP+drGSABNhL3mvMcqnXYMTdWvQVPNOgki8Irpc3oeYKIhOQ/SjEvYAJ2lt2O/K0eNHzwT2ioNGBYPpoZ0HYsLsqmfJuOwojjGJdpfhJkIxdS5HTR0m97jOYCayMxAbXS2wWOllkN0YlIOYITqHeAsd5lcKN4+44+GWzVS5NFzXeKeppj1GB95YXfLe+pimz7Da8+XLB5TW8cbkIsERsgOamp7Pr14yBMu6L5nYgdfLSz5QxwK3aI9NobsL23I1TMU6IGhebmbU51PUxPHwUxesyoZn2znDYDme76mdeP08WG2YnvYEFPerNSA2ua2zo4lciIofePiMPhhmWcfcdmNR/vTsnLlpOZ7s8Sj+9ovv4+lmQddm5IUbved7b7hXbXlaL7lpKzadFH8302OK0jxr2bgKrQJ1yEfflzvJM+Y7Pf4A6Zc+9vGtUBr/B+CPI7zMJ8h24s8BBfC3lKQuHKiL/zjwnyayfQB+PsZ4lR7q3+GW0vg3+BaGpIcjxjQczFIXZyJh4oSOljxHCAoWKd4uSc+5kA5YpRQZjFi6kvzMtYp4p6DOUAn7HeZhTJhRfUrz6T8SUK0gWI1uwBcJwzdI7Nw0LSyKFKOnx9Bg1WliFGOoJqRkHBuITm7jE/OCZLFqag1agiHc0klRTOrK28eUa6NyT5YYFi5F0jlv0h8pGFUx4LyWQOjeUhViu+A7K4vbToqEL4SNIp8O8Yfpezt6sY88eJMgr4/seM1eMOKoGFORdC+397mcv58iniiHIXJA4KUoVgSzScO+KWSn4DV9nQawOsE1UTxTlBcBkElpTnkST9VtQZkPLBc11xdzGYjnMntQnQxZw/YAf4DpFL6K+CK9pgqB91TENgrttODrXqGyyOp4L/xxZwkRmiZn2GfjtYgTL0rhWktQdDpvey72utVzhc+tGKCpCOsM22rcSt77fFkzLzo+3C05f7lgtmp4++qUpsv4yVffo/Y5M9Ox9SWZdpzkOzSRr+3vctHMyIynnWW8Xl7wf11/GoB75QarPRtX8sHuiMcXK85WO37g7nOezxY8eX7E07fOeAro447lvOZyM8UsI5UdqOyA1R4XRDS0sB3nfSlsqPT9LIyXmEBvCVHx3u6Y+5MNISqaVHyftitCVLw+v+TV2TXn7Wwc7FolMXbPmzkPJmt+ePWEv/v8s+y6nPf8MZfFlKOi5pXqmh5L53PWrkIrYc7UvuDjjRV/e7H5BB7j9/n4Vtgv/+Lv8ONf/B1+Rozxl4Ff/kf87gvAD35bZwcyNApK4PGgRsw1duI3Lja4fhSQmKVswbQOmId7UUKuc0gDS5UojTEKlq4njqAsujb4qUdFRdBRvLSTX0vUwuRg7iQZpk9MllGoAmZjhLpY+nHQx1RyPdnKokGfFpPzHH8YrloRFR2KnN2I1N9PAsolKX0RiTpApyVJp7+FimLKNXW9MG58psmsF855Lz4wRSl5pVpF6bidoY6KadVR5gObTfVbhDUxURZR4BpLKJQsQjqiZsM4HwAIrfDv1SCLkU6D6Og0IZNFUA8KfSMdrJtFYskIc5FFyYgFsnmXclUhBkY4J/Qp8SnZJUBanNO5hqDoB4v3CmMibZ8xqzpJdUqLsY+QbWTR7k4C1XNZgIZZMm5TMmA3NRKcsvA4pZP7JOA0wz5jGzRF2eODwgVNWfVoE+jW0lWaicPvrfjDR8hWndAodUZ7x+OmmmyribUsJnavCBnYa0soIuv1hNx6rrcTJouWRdXS9BJbB/CsW/KwvGFuWoZgqX3Or52/zrop+efe+DJ/7d0f5lezN/jjJ9/gKK/pg2WbcOcX3YJp1vODD55xr9ryhZevcP74CN1qikc7ynygyBwX13OqieTUUon+QacOvPUZRkVC1CyrlrrNcc6w7XKesmRVNFjtmGY9fTC8MRWIZKJ7Xqsueb854Vmz5KTYc1TUbIeCJ1sp9m+uRGezczmVLviRkyf8+uUj8cTPpevfuIpMe1ZZzc4XuGjIteNXLt+gC7/ybZeX31prPlH2y+/b8QdfURqkgEfS4OpAJ8zD6PMS+ky22G2GXwvNL5hIyIVyZ08bUZK2QkFTKdhBmUhoU15nFqUYVw6ucynoOhItsuXPA3SGbG2ENz7cdpoHhkvM41h06LWEXM8c2Ukrfiu1FTVnJcXabg1u7olGoKFs3jOYiLmxo5EYMXWQB3pPSsMx2+Rx0xp5SgUxFw+WGBXeyZDX5jKEG5I9cfCaPHcpuzTivGI6b0c6o1D1wCeK5yEjVqnIbC7DqL63ZKWnT5ax1kqI9GFhISixQkid+1AJri1vXKSYd2Kq5pWElwxawj7Kgb63Y7C2zT1Z7uiG1AWXHr0VKuS4EzBBBswxjArbocloL2WhMjZIoEflASuWDcmnvDuSgAtfph3YzGGaFFgxJJgoT4NqlWyG0+GDpsycWBsbjZ0OQutEmENh0MRSKJy7mwrmXjzZ+4yoZdHWrcZNIyGLFBcG9oqegpdpgM4EMh04Wgi0YFXguq8wVeBimPG4OeL/fvt1yknPn/r0b3Dez/mhO88IUbH21W+Rz3dBxEWNy3h9JhDHg9mGn/nxt3nRLXiyW/H+k1MA5sd7hsHS3pQ004KTldgsHDjrQzDsXc6mLei2BXSaq9qynfW4lWZVNkxsz9T2fH1zlw+3S86mO37i+D3uFoKbv7U95e3nZ7jGUswlFeqd9Qlvri4IUfO4OaL3llXZcFzWzDKBcy67CUd5Q67dOBx/Z3cqASH61o77Yx//f+jUf98PlbDpqIgLSYaRb6Iafc4BiSdD+MlSvCMBaFsrgRDVwJBcFGOdPNWt8J4hYd5FEC773AkjJalBKWQIa/Yal5J51CC0M7M1UlxHkQrg1G+Ji0OJLEJl4hMTNiJ3170Iq/pToPS4Tgyx/NxjtmakOIpqVcyw1AHHT3i/6RTRSZ5n7DVh6uhcRnQaW93mt7pWkoqMlSLfDVaSjtIiMAyGobVoK4rVGNS4E4mdoYfbx+rsyOzwiSE0wmMk47IosJRyQAGx8uOsI3gJOR4wqNJjlx1KQV0Xtw6TNow+49NlyzCIaVfTTzC1xuegOj3eRivGYZ7OPSEFV3ivk+JWBpUggp+QyTVU/cGPRlgwvhINhGkVIQdMYDLrqPcFpvBMJhIKoVUkMx6tNM4EVBIl5YX8fQiO3t1UwtopPSYP+GMnvkCVhz4T/5s80r4mxddeZvCswB2LEOvp5ZLj5Z48wRsT2/P2/owvPXtI12UcHe34k4++wctuztP9kmnWMcs6rocJd4otW1dy0U0pzUDvDXerLW9UF1z3FffKLV/f3uXFbs5mX3J8tuF40qCJvP3ilOqoIQTF9XbCctawcwWayG4o6JxlvZmit5bylS3eC131JTNYQZdZfvPyjO2u4g+98oR1X/HFm1f53PwFAcUQDCerHa+/dkVlBt7dnLDtcnZDIXi5y6mHnOOyZpE3As3sF5xWOy67KZUZKPTA4/0R123FT915ly/H20X3Y5eb7xX135sjFgJTHFSODPKFVYPEoIUioBvhasfWJGMmJV4wnZYIMsBkUjjVJPHOY+r+G4EalA3o/FY+7muEnQGoxDlXTsn5OJXi8eJYJEKZTtgrCXxIDpOuT0WuTSHNqx4uctwkRaHdGHyVtvrJvjXkETXIdtCk4eLB3/0QRBwnXvjuic2DB3UjTBvyIJLyOid6hckDeSGdcLO3lJN+jK7rD/xyEDthL+ervXTdUQvEI7a8Qsnz25S9moa6mIhzWnj9JgrRNSa2UpbeDy2LoesscgOk2PpEy+zT+6qizBqA6bRhUvRct1P6mwK7FcfE0BiBuqIiDkosbHsxRjvkj2obRldOKeqR/PqWtSSiqPThyAPKRkJAMPAL2aVoI7scrSPeaelgdzmr4z0hKnLjCZl8LnMrZlUhmFu7Chj1EDGCzj3ZrKO7KTG1DE5jHsgmwrt3c/EXyi4t5klGtJEXdwpW9zdkZkphHF97/z6r4x2vHN0wsT1bV/Jkv+JT8wsK7biTS2pQGzKhIJqBTV+RG8/dYsPX9ncBYZNcNhMuzuc8vH/Ng9ma3ls+3C4JvcFUPcbIEHvf5mzzgsoOvNjNhDHTGYoHe+ZVx7YpsBOhmvbesCobHi7XfOrh22TK81V/j9949yFfiQ/5oU99yOeWL9kMJS5qXjRzQPj/L+oZl+spD443ZMbTuIxZ1jE1PQ+ma6a2J+oN0bsAACAASURBVNOem6HitPAs8pZXpqKmNZ8EdvK9ov57dNg42sCOwRM2EksJZdbNRyT8B9qgQjrDiXDSfWfwzgq9ceJQecBkHlM62pgLkyId5VRYJO440O9yUaDmt7Fs6EgsQ4JJbmX8+PT8SrD78fbb5FtiBR9WJhDOevTLXOhvyEAxZom1MyToJVkShFyokboDP4m4URSjRSVqhSOP0+LGQ7pfY0c1qw+K1suQOS8HZlXH4AztYAhBY60XPxwVwChiLX42ByMrlHDYtRHzNCrBwlWv0bUer08EWfASxGW2KXAki6PCNg6aoS3kfdKRoCI6E+Mu77UU905jl/0Y4DGbtmy8whcBfZFhG8WQi/0BTo/WEPjkqe8VYTB0TiyKtYn4laMtDfO3DM1dYReFTFS9sdfQiiBLFZ6QWXSvcK2lPJJIxHo9pW1kAdztS46nNZ2zGC0Oibn1DF5+X53VogBdT3GNYbZsqOuC+bRl8IZ+EGgqv9G0lYjfQuEJRpoBFyxullKVPrTc2Nn4+Vwe7fn+0xe4FON31U+42E25W2259FOe1CtenUrM29R2aBX5zZsz/tjdd+iCZWE73piIAv3uZMdrn71m05esu4rH1yuaiwlm0WN1wCdYbmgyzhXMq1ZeZ2vRuaevc162GUU1MJ81LMqOq7rinYsTfuLR+1Rm4Cs3D6iHnDt31uzagq989VXeOj3lU6eXnJU7emNk3uOF7/7m3QveuzzGWs+j5Zp3N8e8sbjiOK952c1YZuIY+bKdc6/c8KRe8Rv7+7RJofqxj8NO+7v8+O4o6pHbYp6YHwcOcSgEmzxwyMff94mX7hTEFHYQxHI1eo0tHa6zDEGRVQNF4divK0Jr6KapIBnhk3uFbJltlE468avDmXDA6YwYQdUp8UYhhS3K8C3qVDiqmIalSiyD5x52ArMQRAXrJgHTamwtnWXIGJk1ptZka82wCDJkBeFwGzHrUpNbTDEcZP0H/3ak66wm4pHS9BkuQShh0PjDpe6SvW5UoqxVkWwitqgeEeAczNJQkVh41NJLOMag4GC/4BV2KzsYDUSvRDgWIXZaXrtCOu0uzQVM6tZ7PS7iPmic1/RdhrGBfNrTmMCwy2ThTNTOmHZGqri9LtKKSyZqOEB2wP5REF90I7uOUAaxmMiTjYPT6LsdrrZMlg2Z8WybCpVEZKE3uMay7w/BzxqtxEKgygeJ/msLnNe41nL8yg2nk5oL48cgh2gE5ukXYrkgMYWObOLFNz5CnHo46eiCgt6wfm8ln8Gp4x8Mj1hM2pE22PYZF+2Uie1Z5u3IOrkZKo7zPX/o5CkhKo6ymkI5Mu342u4+Lmre3xzx4sVKVM0BsldrHpysCVHx+INT8kWHzj314zn7asLZwxvmRzVl5siM52o7Jc8cP3X/Pb6+ucP2coouPF949grDYLi32vLzr/3vbEJFFzJ+efajrIqGs3JH4zNKI/j4157exXeG6xcLylVL22ZsypLceHaD0DOXWcuH9ZLjQpjU20GyTX/45CnvmOE7KjPpI/1df3yXFPUDvJAKVCTJzqUb172YYKlchCyxtlLEDwyLmChx6YttZkLni0ECpEPQku2Ze/yQnO1yj3OWfNJjMycyeG/Eu72RwhxTJ62S74fpBEcOhahTpbiLHXCYpLJ5KC5WKJZ+5iVIw0ZMK69FBfmy21qJrD0qjE/WrpOA3Wr0YPCTkM7hIIwJ4iliZV4AQhcUzDkpRL1OvG55PVqHUfGoc48uHaG2SaiT2CtJEKR0ghEO+asqJvqjlxmEl5xX1Wqxoq0iIdnt2rVAZf2Rl0Ws8OPbq7MwmnmN3yqvcNsMf9jZ1JZs0bNfl+J1U+vbwhzSbsKlAeOBJaPS4DqC2ZuRjRNSgLnyCj8VtlI4HWQI38g5VJOOTstnY72ZjNeEpBoOZaQ5ycitp8oGWme53k04mtVkRuiZVT7w6qcfkxvHpi+ZFz1XdSXCqcLTPwxUi5Y7ix0XO4nna5qcrHBMXq95dXnD3uU838ypKQiZxm4M+iYn9gUXszn6lT3zacuj4xvWXcn5fkrvLNOiT5mrmh+8+4x75YYuZDR9zhAM7+2OaYaMRSFd73TZkJ9suTvbEaLitNxz0U55/fWXbNqCqw9XsBgopj3bupQ4Rq85rmrO7uxZ9yVfunxI02f83I/8OvfzNV/ePEKryA/NRWf4cljwtd097k03XLcTXrRzSjNQu5x/+MF95ouGYinD508fXXLezHi5mXFnsUOrwAe7IzLtuVNtaX0miUo+lw6+nY1eMt/J8b2i/nt5RG6hlUPaPIyqz1gJ5e/AsT44OQYb0U7hk4ngIVszpMCHgKQEeW/IS0fItWDfrRGjo86OhTLsstSdBukOfUSn7FKUKCV1q9EIHHEwthp3Go6R5y2vSQq76UWJqDy3nimIoEn5FLqd/kaBWwTMXganIXG+5bOoYWcJJmIWA6ZwaBNGr/U8d+NWOkZ5fp8yIqOCkBgzymlUp0T2HxitA0JnUMlUDSU7kJjF0WkRL5YMpj68QOlI7UaCJ7ozf7vLSpRJgjCZhsHg95l0+wf2iQ4CA1mNnshrUTvL5ImhX0ZMbRgWgucrG6DJ0Lt0/TTYrSJfK4b5wRs/BV2n5CXlxQ/dHRZHZH5jMnGubKKSdKxWU240/VLUxO7IoUpPXRe0JlCtpEM8xAYO3owpQK233HSVdLR1hXOGSdkRgiLLJBj92fWCSdnjlOZ4uWezLzmZJhuHVKC7NiMUgfwze+rzKcVxQ2gyQm+5bufs6pK+zihn4vB4vZ1QFANKRZ5sV1RmoDIDX725y5uLCz41v2A7lPz00VsYAh7Nr29f5cN6ySzrqMyAVpHL/WQUch2d7NjVhcwXvKbxOS+ZkVvPvst5ZXXDH7v7Dj9QPeHKz/jc7AVPuyXP+iVaScD01Hb0wfJ4yHn7xek4ZL9/54YfPfmQyvR82Kz40tNHqBT913tDHyw+aG4a6dy3fUE5u8aqQOMzcu2x+nuYOnw3FfXD3ujgEuWVdC0O+hPBUnUrBfbgbnh4g/w0CL6dXA5Da2/Tg0wcQx36NjFoOuniQoI2yCLWJNVgK53cIdFIwhHAzfwY0KE7BYOSzjBV6IOdbcyDFK5k9woy9DSNHtkZMaUdZRvDsPJ4KwZhh7zTA14djXipRC+mZfHgF2IlvNoNFpP7UfXXtRlZ7rAHgy53a9AFpCCNlOpTCWQEyevchJQupSBoTCsRdG6eGERB/HFMo9BOXvuBv25aGOYiFFOt7EpE/inc96LsJfCaW9goqvRaBo2ZSdEMQZHfrdnPcugM+YXBNnL9Q2vItppso8bPS3ccqOeRyVNNMGq0UjZ9Om8rA3bdaTF6e9Dit+L8WLf5yMTRvaI79ZhjKcarhfiJb17MQIM5Xqfz02yaEudkB7Tvcq63E1azhk8vLsi056Ke0vSyqO4vJujKkRWO42nNtpPOI8s8n1mcsxkkg/W6rcRwzgbKfICzPSezmn2VsapakdLfLBi2FflRLbTTXc5wURFtIJwqvhbv8JnVOSflnlVW0/icVd7whc3rANwptqyHkrvVlr3LeWtzyq4TA7DX7wn+Ps86HqslTZePBfd0UvP4eoVzmvevjjguak6zLY/bY26Gimf1kpNyjyFQmYE3Jy953i05KmeoY7g33fDZ2Us2rqLxGXsvIRtvnF5SmoEQNXuXc9lMOKlqtl1O7w33J0Lz1CowBMM8a9GfREX+XlH/PT4OLWxUo7GWW6TC0SRc3dzyxg/CF5wSR8CIxMhtM9ARXaZQ5RTxFoP4wKiFI7RCYfSTgNIB11kZRgZAKXFhTHQ4d+QEtugMMVeESoy+sk06p1wMyFDg5hBtEIXpR9gRUYvz5CiE0WIsdWDYhEm6zywNAcu0iLWKgFArY6YT60ZCKkjCnEMOqCnFF/0QkA3C1Y8wwlUCR6lRdXuwVlBTL3i3DcRpGtYmcZRpLHYnhdxNYzJck0VBOfDl7VvHLJmbDQLhxKBwhzSgISlwE+yj6kSbbBN7KJfB9nTZEiO005x4VWBrBVF8f5qHHuXENEz3imHm2b0eqD60mE6he7EnNnuNryCUAZ2Cu6NLsM15QZ+cPe1W4uzixJMXA84ZdvsSbcKYu/rsekFVDGS5E1gvQr2uUDZwcryjysT3e5Z1nMcZVS7cdVX4cQf17GbB3eVW0puseNkU2jGxPddUdC8mxImnGzIerDa82M54tFzzyvSax/sjjqYNdTGh6y0niz0P31iz6wueXy6pX0zpVgJNvDK/4cNmxWU7ZdMXTLKBadbzGxf32dayqBS543S253PHL7npKwZvZCjrLb2zeK+ZlD1GR949P2bYFpjpwCtHl6yyhpf9gq0rJQWJyOPtitZlnBR7hsJQmYHjYs/jmxWvLxzn/ZytK/jG5RnWBH7o5Bmn5Y6XzZy3np+hdeDe0ZaX+xnzomfdlfioOSn3oxWvC7cMro9fX74Hv/z+HKlbjzqO9rm6UyM97aMWvH7pCAm20VnAmIB3Wjr21owQDAd3P8XYzavSE1vBMH3ipKuJkyg7JbDDcMB0bRAv9rS46B6I0p2CcJ71IIXNbjRuInhvtkmiqoA4OlbiyignQPKoSZ+0xhKnblRJhqAJfY6bxdGOVrBjTchTpF8ZJFYvDQ39Yb5woB1G2VGYferIN/lohjYGRqt4O8A8WOga8dfRrSK/EeXtMJdrb/eK4Tj5qnhQXuFWjmzRocNtOHAwKaTDevLc0Ta5FPvO3AZtBDUOXXGi9O2aDJuLwZgy4oczFIiQZyFWvrryOKcwLwrs2sgir8G04Cr5W/zeZdHtTwRXN+c5UUuhV14UynpIHvW9pmtzCeRObozFoqPbFHRXFV2s0LNB1L2dwZaOvBho+ozNvmRIND+TgrVpDXox4HeW7TBlsmrovWHTlPzw3aectzNK43h/fczlO0fEqUdtLbUtCAvFg8WGh5M1jc84LqQ7n93Z0zQ5pXWclntu2oqz4w3P1yfE5yUvnOZ6KxbMMSoW05aj2Zpl1nK33NL4jD4Yem8JKHZDgQua/ZCzbQt80KJTGAy+UPjBonXk7MENry6uybXnqp9QGaFStj6jcRk3+4qr7ZTj+Z7X5llKMgocT2s2g9j0PqjWzO92XHYTvnZzh3awrLcTHpysKazj2Xox2gDkxqOJo6c7wBD19yiN6fjuKOqHggu3rIbD4NREEeBocDm3RTHJ3seHcFpmZgn7pfQjawUtoiWdLFyHbS6FfuHE7+RQXIKSoucUaAU2oitH2Em60GFxGeaRbCsDTz/3xCLZAzQyLDRtKrJ5HKGKkMU0JE1qycRoORxqNhAaS+jNGP3GUvJOqa1AMa0EOKNA91qYNkkUNYYl53EMm2BIQ9xcOlcdgcYSKqH7Hc6NgNAltRRPYW6IOKk7Eb8b3StJDjocWsQ9YSmqXkCYImlXpJT4tigV6dpMlKFBxEjRJ1w9Ar1C9ckTvzESmpKEZ/oQ4+elM7c7g5tJ8hRaDMfyp7Lyt5/uYGOxtewe5D7CTjI7efxgGT1m1EYSpIal2DWoWhNcTrbVDCcOmzuCl93G5H1LdR6p71naex61GPCDpt5MofDoTJKlfFTs2oL6yQyKIEZqvUY1Cj/XZDqwrFrOmxnzvOVZvQDg5FPXfN/Jc97bnPDk+REXuymvHV2zHkpc0BzlDbOsY1m1NE3OTSP2wKV1bLscPR8IRhaSfp1Ur0c9i7JlnnVCc8xaumDItShXn+6XXNUVu01FUQ1kmaPvDUXhiFEM4az1TMqee7Mtl+10xLSNkpnEfsi52E5prip05Ti5U7NzBTd9xSvTayo7MLE9x3nNFy9eoekzmi4f8wJeObtm1xU8vVhx72R9+/g68HI3Q6nIIm+pXc7gJ3ThOy9n37MJ+L08DitoKuRoNToz+hzQYsAUekOYBKJRoxf6YYjnvboVx/TCQDB5kMJN2v6nrNFQJ9xdpYKoExdccbvAHHzDC5H6+4JR+BQ6K7TEIomcSPL+TsRDPpcBacgklV55lSwJFEppovVSvA+sndRVK59k7lqSnFTpYS5DrVBIIT+4KMZ0rjEPQqdMgRLqcN+UwxmnHpfFcSZhdmpUzRL06BYZSmEeZRudwjzSc+QRn6Ak1R9k+LJ4KB1xnU2WvCENqQ/sFLmGOpfoQZvJYJrErjmQlsYovExSpfQ2J1QCE6l4GFKnhWPQ2LVNrz3S35EEq4NIzVyYEd7qVxFbK2yt8FHjS5m9lB/kMhNwssM6hLLYSy2DWR3xgyHe5OQbUaGuP4MYrwEMGp2LUnbYZ4QojpO9M8yrlvYk59HZNYVxfHpxQeMzfvPmjEnW03nLSbnHRc1ZtePHTj5giIaJ7pnZHq0i2y6ncRm9N1zWU/qZ5W65ZZuVzKetsLmcpXWSZvWTn36XX/m1z7P8hnxwd6/A9NWGTVuyL3PmVqLsjIrc9CXn9ZTLmxnDLgev6FWU8PGoOJo0NFnGrikEOrKexzerMWjl/2XvzWJt29L7rt9oZru63Z7m9lWuulV2LNsyhiQvgIiCAi8WEooCD5AQER6SwAMPhLyAFEXyA40sgSKZEEMkwES8EKGISIAiJERsHMcJcVOt695zzj3NPnvv1c9uNDx8Y8596lZ3q+5V2VfUfDlnr732WmvOtdY3vvH//o3rRJVc1R1l5jibH4nzI/frHefFceqsC+347PyaIWoan/H24pbtUPJTqyccQ87f/fqP8+TlCUU5cLoSC+GX+xltm1HXXYK5FEeX82h9woPF7hMpMz+CX37Yx8iA0YAHfdTSTVrpLH0yyJLIOi389CQCipkUtdHjW8KlhZ+tFKlzFR77hy0IxHo3/ZxFGURaofGF5pWou6Ck6LTy5XG1dN8hMWH8QhKC9FELBJCKve0Rwck8pEIZp8VLcHwtmacJilBOIvFUEe6Cs3tR0uraEawIh/Dqjt5nhRGjdaCqeo4mStiFEi/1cUGLhsn0LORp99CrBBONjKI0JxhnF4BpNLTJxGvc2fRawkIKL4PbJMxRXXp9JqIOhng0uNpjKuFrj77zsQj4DIHE+mRjXAaClujC2CZb20gyUwvE3BG8JdQBsxioioG+E2qk2YsQKmRi0YCK+EpsA7KNorg2+EICT1yVhtBWBtJBQ58hFgIbSyglzMQXET8PUHhJpzJSAEOCmvQySCi2s7R9RpU5furNxxM3+/HxhNr2XFQHatvzeC94979w70u86BdcZHuedCdc9aK6PCsP3B5TsMRszb1qx0nW8PX9Bfshp+0zVjNJQvJB8cZqQ6Y9l194yfPlCaZyfO7BFc93C16+WHK7rdFKFlQ3mGknVc/aKeTCRc2Tm5Uskt5Mg17nDD7Toi7dW1k8jQj9Dq6kPN9zr97xWrXlpq+57Stq29MHy9f3F5zkDWe5FOzdUMj1aE940Sw4Wxw4LWUHsu1LvvL0Hu5oKVcdzhmc03RewrN/+v4Tnh5Xk/DrY9WXHxX1H9Ixwi9T68akuvSFYLnKJ9x7tEDNhEoXbCTWicOeBnDAneXASCH0wjUfRTCqdrDJ5DmdLCSxTI/hUpEdF5mxeAKx9ARlUB2Tr0e0UYQryUkyLAbBZoPg22Frpcikv5dire449lkg9gYzd4SbPJ3/nTGVOiRTMh8JJmIrNwVNOCuJDNpGjPVY62laCZkuagmAdp2Vwqs10Sd2SpBr6GrpzlVQ6ObOlTIaWaiiFXaQs3ESOY2OilEJ40injj00MsPQvUKhCAsn79mgUHuLTwvu+P6oXoJKYp92BkqgkJgFfCU7qPG9V5qJYx4WnnzZMbSW5lBJFijgq4A/89jnOcWNYlgounOP7jTNG9Lp5y8NwYJ+0OI6g9qJCZg78ajhDmJTg8KfD6iDEc59FIqi+ONYtA4MvWU2dqx1w/svT7lX79gNJV+7mYvvfSVCoVw7AooXmznv3r/iJ6tHXGVLng8r1kPFuhcsPNeOB4sdSkW+tL7HpinxQfP6asPbi1tK6whRcehzlmXH1VF8Xz67uuaNxZpF1tH4jHeXL3hxseC2rblpatbbGtdYFucH3jm9ZZ6UqDPbUWjHw3pLHwzPDksyI1TMEBSHNmc2azm9bDgrD1gdaH3GdVNzdbtgXsjj7PoSpSJPD0vqbODlfsa6qHhqlzystwIDec/XNxds24IvXrwgRMW2L/naiwu801w82OK8pukyrA3supzCVIRcsU9CsE+k1nzKj09HUYdU2FNnGNUdcwTpykMR7mToOkoXP4isfgzFCI2VIeFY0JOSk1SQAhK7Jt7pTOEaamS99EktmXDq2IgN7xhOrHuNOuo7/2+4g2tSQSeFc6jKiRe4CYTZQAhajLASI4TEF49jd95qYoUYYx3F7yWOFrwKWQAKoWh6l/xNjMAAoTf4XomdbUjh0givWilJ3XGdQBbxvIetbJHNXk8PPw2iU5D0ZGI2RdchSlsQaKiSImnGuUAU6CuS3qtBS8duhfutnJ7ojqp28lqNWObqJkXQNUYMt6IsaKOKVKcAZ/HHiahCZOzxaMXKWAmtVc0T2+mNlv0sJ1ae/LmYaimvsBcNfZZDrzFRcXJ2YFeUqG9IZxwrL37waSeljkb0EMccFBwHhV0MVHUnvUPu2KxrhoVB1XC2PPD5xRX/6PZ1/shr3+C2r/nG5gyAOlNYHbi32rPtSn7t8GNkyrMyDT+zeMwx5PzmRsQ8lR348tUls7Ln8+dXvF3fcDOIydXM9hxcztpW7PuCVdHS+mzyK3fBoBNwrIm8Nb/lZ84es3qr4cWwoA+WdV+xHVJARdSsMun8ey+WCPfme/ZDzr4taJqcGBU3x4rCOFZFw9x25DPHsct58vKE59mCdy+v+MnVB3z1cMmXXt6jzAciwsP/2uacF9dLXr9ckxnPZ09v2HQVRge+9Pg+obUsL/e0g2SnDp0ltBa30BJUEpID6cc09EqI3af++PQU9Q8fY2Ex4lei2+QoaCJKqRRSLV0yrZEuUYHqJaiCoGRbHxBcNwtpmx3RR0PAygCwTZ1/LkKjaCORIBRFHSFq7EYn3FcCoyEFbMCE7U50SIRTjdMwG/BOix9LMaCrnsNNhbm1ci5ZMhCz8vwx/V20MbFshNkx8tpJ/jEToyexZ+IgsvsYpCuPnZxTtuhxvWE4ZtMiFActPvCDxi9SDFsaeupGVLO+/NAnP+2k5LWmQp+MyXzyvdHzgSnUOghWjVMi9srDtDCoThOx8hgJ8gpFIBRifFZcyxfXl1GyRNOu7I4zKZ29Olh0QAyyak8x62m3BcpE6kVLeXLg5bMlppGgbtWnHUs6D54WrBcWVXn8pROf9F6wflMFwm2O3WuBaYZEo81kQT3sS+6db+mdwZWGs9mROpOt2NN2ybvLF4SouVfs6eeW1ls6b/nG9RntMWe2aLnu53y2umLjK3a+5ElzgguGy3LPlZ8zrzreWd3wU8snFHrAozm4gsr0bIaSfV9gdEgB0j0uaD7YLlmWnfgaRUNte563C67aOW/Ua7auYD8Ud6yVY0WZDyzzmj4Y9l0hVsNBk1tPP9jJ9mAYLDdNTeNEpRqi4jOn17ws5zyYbcm15/3mlN4bPnN6zSpv+eCw4jDkbI8lNhOSQoyKD/ZL9k2Bc5qy7tHzjtO6YdOUrJ8v0JXkFAzrkq0Wx9EqH1CfQJutwqe/qn+U5KO/gWSRvogx/mS67T8G/m3gKt3tL8cY/0763X8I/FlET/nvxhj/brr9TwC/iDiK/PUY4y987FcfhJYWi4CfS3dOVKielB0ap24zFKmz6zVkJMtV+UCqXLp4CXGWrXXWmAlqcPOUsFRH6IxAH6mD1g7BVAOygxgXjMRLt41iyKTAoYA2ddlZFErloGAmcIlzinzR049DTH+Hb0cbpbM1ws5wWorcJEAyUvinlCcdiVYlbqcS+2JtxE639ujKyYJiI94DjblbtGwUPnoeZAidmC4qypzgmwr4KMcnde5ptiDDaZl7xCKpTpMzZrSRUMknRA0Ke7CiLyiCvEfFOPS0sqjkMUFBr+oSZLZgehGbhRSQFG0Uz3XSQrwcqGcdXbI1VrlAB94oTi73DGeGcMzRj0vCTS46gLknX7a0h5zYGOxi4Pxkz/Pnq/SdkM+Smzvxsz9xxKCwhUelgSKI66DRkWXRTnmcX1lf8vbyltZl1ClTc5511LbnG0/PeeP+LUPQvFnecAw5K9Ow8yVn+YFl1vKym7HpS9rBcpof+d39A35sdoULhi4YIOe6nRGiYnCWZhC15U1bs9nWxKi4N98D8Oyw5OV+xqpusNonKwnN1WHO7iiD0PXVnBelxD1ySHqBLGAXA0U5iJd+UHRdxkFJtNzoR2PLwEW1nwKmt105ea1fdzP2Q876UJFbj9aRed5x21ZcPVuBjhSznn/ura/xfrLX7QbL2cMN3ZDhS43Wga7NyTJRtH5s+OUTxtSVUifAX0fCgSLwbwFfAv5H4B3gG8CfjDHeKomQ+0XgXwaOwJ+OMf7GD/K8H6VT/2+A/wL4mx+6/T+PMf4nHzqJnwD+FPCHgNeA/00p9W769X8J/HHgMfD/KKX+dozxt7/ns3/4Ir/akY0si06ogmgpouMuTLXJEjdR9iaFqLsr5nHQ4qJYeRGipBAFb0mp90Gw9MQ+ofDoRWLMtIZQRmItvOkYuRuoqigFGYQil6yBJ+veMR1JCSQyqlmzwqHmDnWd30XlxVRE85CGxFJkgxmpiqno98kdceRajxh34cGLH05YSEh16Mfij8wHahkGqhTCgTNih9Br7E583EfGmEpD33EoTVKXCiSm7vJISYXegzpaoorTgkZgCqJWIS1IQRGRhZM8wMzhCzUNXqMVhamKifevFa5K2oSQrlPybI/JUtfalGHqzAS7OafplBWzqdMdzI481StCa5mfijx/WbX4uiU3ntZZukF8+a31LOoON9O0fYaai1WwTjudYRCqH0CmPXU2MHgjDaGCLAAAIABJREFUkMmzS7wznFdHXh5nrIpW+OB9zv16Tz3vaIaMP3z/PU6tWPvuQsnLTnxNXJRMWYBl2XGeHTjJGq77OVoFlrbj4HN8Yr9c38w5Pd3TuIzHz0+ZLxt+9v5jDj7HqsB1U/PFy+c8OyzZ9SWZ8Xz1xQVZ5qmKQTyHTJA4w9yjSxFbGBvoWyukAwVFJp//vjds9uUk5NtUJad1I+ZiQ8blTBaT/VDQuIxjl9N1GSezhvPqSG17YbK8dst5deTR+oSvbC+5LPdYFbhf7zi6nPeuz2hvyuSeGtj3mtmq/URsAj5h+OUXgf81xvivKqVyoAb+MvC/xxh/QSn1l4C/BPwHwL+EZDp/HvjDwF9L/37fx0eJs/s/lVLvfMTH+3ngV2KMHfB7SqmvAv9M+t1XY4xfB1BK/Uq67/cu6vBNhfzDhxoS7aySQuHmMXXwCmWYGDEuk0HoNGSsfErokSKsjtL1hlqwed1IKrw9aoZUINQgIiXfy45AryRA2tggCs5jupxWgjRCgmTUwUxD3vjKIHDMHR2TndCRbhDhSrjo8INJwc7JmsAb4eFn0tEGPeaCipAnVjJgNUctg85WFKAqS1mZKs0cptBmADHoUkY65KgSJVL8wQDxTYmFXNNxV6B6LcHRIxspqsn3PVRJvJOug0pduzJqGmhPFg51suxNNg6TjUCfRN/pvYyVLDAiror0p2Hyc9ednJevRLPgVl52cDri2owhAr145ehtiasDQ2I0vdCRuuxl5l3IAhCCojEZMSq6weKS4nQ5b8Qe1hmaY0FRDmTGsz+URKCqehZ1R+cMm4Pg8JkO3DS1xN91lqKWIj/Lex6vV5MXOciC8NP3P+Bz9XP+j5sv8kdOvk6pHBfFnvVQ8fXdBZ9dvOTJfoVRkS/v7/FaCoIeI+s6L+6RnTO89eCG0g7s+wL1Mmdxb83OFYSo+NLNPXxUvHvS4aoD666SYOnTLc2Q8eLlEm0l6HwUoZ0sGunetzWhsTRRUrOMjuRWfOvbQ47N/QSnbNuC3HreXt3QB8thyMm05zhkuKC5ONnjk8DpstjzmdMbSVfyhu3NjO3zOcUXHrPMhLe/7wq6JkOVnpOHW3zQkhObkr0+9vEJFXWl1ArJbP7TADHGHuiVUj+PZD4D/LfA30OK+s8DfzPGGIG/r5Q6UUo9jDE+/X6f++Ng6n9BKfVvAL8O/PsxxlvgdeDvv3Kfx+k2gEcfuv07rkJKqT8H/DkAc3bybe5wh6FGk7byTqUQYRm8xVwgBEC2/SaKU6IW3FYKenq4pBidiiwaf+rxtaa4stiNOCJOEErqHLWJuMbgx9Sl1EGjkkAnioI0GqHRBWtSAbs7D+Xv0uaJEE6E1meytFAo6YpVEiapUVRUeWLt8N6KrW+eOvPeyuONEXAZQndUKc0n0f0gFWYdiVHOmVcKtO4gOllE/DwZmGkxUFNekaU5wjfpPVK3qo/JOycf4SjpysVTXYbRMY+JFpleS1CT+6NCroXuZAEJVUiD34hb+pTIJAuBTnYLo+FZVJL3Ob1fW4tthT3jF56YpdekhUdvbaB3NkX2SWH1nYRiGCPiKKUiRgl2C9C1Yo0roSGiUp4t2gnWOezFxbAwnkOfc309Jw6aYtmRZY73b055cLLFmMD1ek6WOw5dTlUMvFNf04WMn1x8wN6XDFHCnn/9+ZvJQVFz6HLqfOA0bzi4gsZnnOQNQzB85faS3bGgbzMeLnYMwfDidkG0kc8sb/ji/BmFHvji4jm/fvMWu6HAai8QSSPDyX1boG3gbHVAqwh1yzurG54dlmzbQvQBKfGqPHNU2cC6KSUUvTeYWlxQ66LnshLO/X4o6Lyl94an+6VEImYeCrA6MMt6Aop1V/GFk+fc9jVvvn7NuhGB1T9+/hqHqxrdGNRFx73zLS9eLidfotmypf+4lEa+r079Qin166/8/Esxxl965efPIPD0Lyulfhr4B8C/B9x/pVA/A+6n/7/Ot9bI14EfWlH/a8BfQda1vwL8pwhe9Ikc6eL8EkDx9hvfeplfXZE1xBjRUeEWPg0vEwSSGCSMa0AQpkxM3a5qJeR5GpoHJZCMA5KpV3fpJidG2Q3Ic+sy0QaTYZY+mFTQBZIQ5SW4KuIX4Q5C0XenM1LyUFK4VC3cZddZiZ4rvIRrD1IE9UGhvfDy1d4QKjWlJAHEoxGsOSh8KtCqNWKkVXm8UxNEE0tPtJLw4+sABslvTcwdNUi3z1xmBNMwNnFCQyYdvE6pS+M11L1KhR/MrSZYPcFDXkn8ni9kkBptglzGxaBNfjNRHidkstiNw2Lx3SEZoaWPQhYlBDwqdKumrr14aXAzsSp2Sy8SfsQjP0ZFlrsJMnHJnRITsTYQM8XQW3TZ07WCE+fFwHFborMALwq412GtZ7+tpu5uhHVCbyhXPbsuZ/BiUKZ3li4oOqcwJz3bthBVZuaZVx3tYPm5B48YouF3Dw+4yPdoFXl0POX//vJnUQrO6oaDy1HAz14+5u3ymp0XlkoXLDd+RueMGLnZwLPdgrbLGDYFr797xVvVDXPTEqKm1j2fW7zkH16/PnnN7JuCedXhnOb+2ZY6G7hf7aiST/naDoRCwRI2Ufz5ATZNSdtmopDNBaIqM5ew9QBROOXNkLHeV/IeeEW96KiygfPywPvbU5ZZy0+cPuMsO1CZAasCrZMsU39Vok57/tAXH7HtSh49PyUcLWYuTdDh0UI8iz7u8dGL+ssY4899l99b4GeBvxhj/FWl1C8iUMvdU8UY1SfCw/zWJ/6+jxjj8/H/Sqn/Cvhf0o9PgDdfuesb6Ta+y+0f/1AQ8jBx0FXyCpk8RBLrYuzqSNgsXix6o434MkhizqAnjH4Ml44prCIWXv5OiQ0tGonAqxyUThx2nUYdrUjhE4arekWowsT/Fo55GgqCqEJT4AM2EhtDNEktOiU+iZcNgwRWJ7yGaJL9cDKj8jPhXY+dcUgwk0AxgmkrJ/RAGTSCihq3TNcv8dNDLkVcjRF8OhIzWRTHa64T9KUH2W2EPOHjSpwQg2XyMHd1FHO1eJcRqpCZxfSa0uPKTENcMKNGnCk7LbTGcPd+otP6ncRlsmsQy4WQJ/hsr/FlJGRirRDUHZ1ztCX2vUnWBOIPNDQZwSkaX8hCbwLHrbiSxaDACFbfdRZ9JUW/zSQ6b+gtWd0TgubYFjIr8WneYCP5ShaD2/dPsWct81lLN1iGwXJwOVoFnh6XfHl9yfV2Rn8UVef9129Z5Q3boeTnHjzixB7ZuEogDlfyjcM5141w2d+4vKXzhmfvnUOAz777jFnW87RboVXkSXvCbih4cVzQO8vVeo7WUXxsmoyfevsJm75k3+c8rAMhKrpgJTqvL7Am8M7Da06LI63P2PcFETgMhuWywUdFiGBUZNNXEnQSNDebGTbzlPlAXQxYI3a5WkXOqiNfurnHLO95a3HDo73YIRwPAnO98RNP+ezimotizz+6fZ23Htxw6HOunq+ELTb3U8P1Ax+RT9Im4DHwOMb4q+nn/wkp6s9HWEUp9RB4kX7/3Wrn93X8QEX9Q1jPvwL8k/T/vw3890qp/wwZlH4e+DXka/h5pdRn0gv9U8C//pGfcFzLvtt7puV+yku3p1J3CAK3KEMKGBYWCQHsQU/hzSgJjiBPFrtBobJkdjW+0Z1BdQmq6Y1wpQOC5Y2QkEoDPa8npaNKxlbRBsgTC2c8F68m+1/VGWIIKfBBfN3lBKLQF9Ng0q2cnFMy8golIvRBOm3lpfOXaDw9UQ4nhawWSmRU4GaSsar6xNgZF8KEqaskFEKJPQAkNakRRpGfCQtIBflCmCRQah96oorYvUH3aQFIRmfaqcm90u705KopqUNKRFR5kDFEJy/GHhK1M70u7RITZ/y5k9+HV/B68dQR2EndWkIZCXPJpw1ZSMEemniUwaxSkea2gkGRbYzsKNJnBi2Yf3QaZSOut9IA5JE4d2TJwyb0BlN4hnUmzUNiMsWUP9tvC4ZWUz01HG1OrDt265rPv/mc16s1X9ndo01DxD/61jd4fDjhC8sXLG3D027FeXHgtWLDravZJS75/3v9kFXZclkdaAfhkkdn+ekff4/T4sjM9BPEcjPM+OCwokgipdw6Xjvb8t6Tc/TOUr2947w40Ca7gtZnPGrm+KBTsZZoxNdna4yK5NrjgmZWGMm/7TIJ0HCGRSHsntZZbnc1rhMxVowKa9OuNGisCrw5W/Pe9Rkvn654j0tO72/5E2//Dr+1echJ3oiAyRUMUXOv2vFof8p6V6G3VpqC4i4Y5gc9FJ/coDTG+Ewp9Ugp9YUY45eAP4bMEH8b+DeBX0j//s/pT/42Amn/CgJNb34QPB0+GqXxf0CA/Qul1GPgPwL+eaXUzyBfn28A/046kd9SSv2t9MId8OdjjD49zl8A/i5CafwbMcbf+sivcixIY3H6dkf6XbQJLngl11RYHIK5+pypoOte0oSGpUTFfZOi1Iu9rnJIt6aBTpgbZq8JNuIXyeujlUg13ekJG5+ayYTbhyLe2Q+86pNSeen6e9k5kINqRNQSjXTMo3f6+KkbaZzKjwEX6ZOYFjbtFGqvxEc+i9NwMeYpwahLqUGp2w2FqDpNp+4sAjKBRrJtgojSAiUcebluSgs7J9Ze/OFTsfZ18naPyPWLspAEm1KdZjL3yNZ68r0f6aMqkDQH4sue7RQOwe7Htz7aSNBp6IrMLqJOpmJL6fzHwblp9MSJ14PCDxmxCMSgicmu1ayGiQ4Xj4ZsJ89UP9X0y4gvx4BtCQePpZeQj5hYRzoyjB79TuM7LeZqdUyWElJwdBHxu0wsgRcRuxhoOpHc74ecm35GbhyFSfF2KnBZypB0PVQ8bxYch4xmlXGSNfzDF6+z2dS88/Cazy5e8rxZ0g0ZN2mwG1ATlHEzzOi85XfX99i1BXUuH8w3Fms2fcUX3n7GvS+Kf8p1N2OZt1gVOLqcTVNidKTK5G8uZ1Ls+xQAsm0Lbl8shJk0CLurOm9oneWkbDgpG65uFsTWcGxzzpZiDdA7iwK+vjnnreUt/+zbX2X5Yy1f2d1jnnXc9DN80FjtOcuPuGA4+Jyrds6hz2XnlEX8aY8ZTeo+7hE/oaoux18E/rvEfPk68GeQb+nfUkr9WeA94E+m+/4dhM74VYTS+Gd+0Cf9KOyXf+3b3Pxff5f7/1Xgr36b2/8O8sK/v2P6Jn+b277lSUgccV6BXuJkHuUT5q4a8SgZln7CZ/0sdc86CrskJF72IrFhRobFLOBfDcHuNOYo3Zgvw0RbRKcuM2HOwvNOxSF1gCgEzkk4cpwJFS7OPG4uUItKsWtEIA0YY5YGlyOcMilp07mkoOdYhMncS3kFrdAUp+HkK69NO+GDh8pjdka6S/UKm+iVQu+TsjRUUXxuOvFUIUJ/HqYgEJOCPUwjARX+YpDzbjXZxmBaNZmCZTvB2rOdQDrmKPFz/Ulix9h4R+cMAreNC5DqFWEe8HmUnVKZbCGSMnY4FfaPGmTAa19YQgb9aSDMvfjeeJld5DtFyMEtPf1lpPwgI7uG7kyeXx/N5DdjjonyerATfTUWAZV7QqZRuQReZ7ks/lXRE+cSwKGS0MYN4m/vg6YLlqNLZl3OcpIdeaO8ZetKnndLKjtwHDJ+5/oB//T99/njb36J7nXLwRU8bVa8OMwxOrDdVSgd+bo/52G1oQk526HkebNIvi2Km23N5cmeXV9yk7xkfu7sfW6GGeu+ZtuXvDlb03rL/lBSVT2Xsz3zrCPXkhn6/DjnejNjOOZJ5CZwpl86+i5DzRp2fUE73LHChibjUORczg/sEixzb7an9RkmQUmv1Rt8VDw5nghbRgVetAu+ur7greUtWkXW25phU4ANPLi34Xo9v7OY+BjHJ4lwxxh/E/h2uPsf+zb3jcCf/ySe9w++ojSSvkEw5k1Ox4eL+1iUx78bb1QxiYHEG8b047BPTcUilv6uyDbide1ITI1UgMOo8BzDpVNWpphxyQJhRkjnKPivL8WN0R7VFEods5F9kga54wJ0lBDqMHrMRMFvI4nzrhNTxzJ12conyCHx2fESxi3nIq8hZAK3jEpQlXYMMQuy0IzUwFYJlp8Un3afckbzuySpMejbJFhEIeeovCyCIekAZFYBzkbBtOdCjVONxm5ll9SdB7HM7eV5lBPnxGgFf4/p/YyZ7DLUoOGkl4FYZ6CXazDSUsVLR4noyQbx0g8kfn8kRk3IoV0EKe4HRRjETVNskMVv3Z8PmMKjdaBVYG8sIYvYvcLVUeC5KAvJ+JmZAkUGRdQyd2GXoc8boZtGKebGBN44X2NVEC+V9ZJq0bMoOi4KEepsu5LcOr6yu8dluacLJsXLBZ7tFygV+Sc3D/mj936Ph/mGja542iyFGngsCJ2hWHT0veHLm3ucFkeOLmfXFQIxNbkMNREb22Nb8Nrphlr3rKkpzZBShxQuGsqq5zOnN1jtKc3AfihYdxXrfc3QZBLcXg4cdguKW0VrcuLDlkwHWmfZHUqquucYCup5x/nsSKaFBFDmjheHOQBv1ALpfGN/xuPNSuINrOe2ryiNhFz/g6++zeL0yOsXa+y9QGUHHq1PRCn9cQvyiAZ8yo8/+EUd7tguI7MFvjMcM/5+9IkZbx5dFAcRrKAldi4m0UzUqevrpMiG1EGHMkiUXJThXxzUJArySZTkVw6Cwm5M2qZHXII+CBCtkvi3gAxndxIEEZVAJTHh/eN2foxxE/8aYZ6EIqUJjcZhRhgfoUo2Ab2ch+kUAT0tHGM37xaSCKSPMlw1rcJsEnyj7wpzcS0JQr6IdGdpWOrl/uIiKbYMTstwc1j6b9rhTAPYTuEjQiVd+HTtBWISq+E0VLUwZFJQQeCqfhFQg5Hn7RRhULiEnU8c+ywQlYIgIRyqMeKLk9So/mih9qI3MlFsi53ARrEIdGWY1MbdRSC/kcW4uFE0pSHmnrxw3Dvd8UF+SvYoF8ZPHSQovJDBcT7vMSbQ3FSQS1ZqHBLtNAsM+xxbO6q6Y1aIrmHblhy7jHvLPV+494L71ZaTrOHR8ZSH5YarVsy+3t+coFWYJP0hKj57cs1721MOfcZ6qFiYlufdkvfXJ3gvO4752ZEycxTWTYKcXV/QDZZDk+P3GacPtszzDh80D062fG55xWv5LaUe6IKdskSfbMXT/YO9GHkpoBks3ZDR3paoQVOeHmmbXFwrK/nMFeVAnfUMQYuvkY9oG+jajPePZ4R9xmvvvOStZLm7biu+vjtnnnUSiXd/T2UG5qbjS7v7HF1ObjzVQlwan62XPDjZ0jnZSdhyoMhe8fP/AY8f+an/fh6vDP6+Y3H/UGEfHRxVRDDxZMw1YdxDUk5mETUKidIAUAXpVqd8zSjwRbjfTTDJWHhHJabqxGVQDKPucGPjQQWxbRUogbvuejTAUrKghJJEL1SjdigFPOjUOUfB1HXyqYlpJ/Aq7S/BEuLKJapb0wrcERPbhJA4/loWHz2AN6nYx0RVbDR+5QQycXIR7DbZ2dZ+omCaBHtMsn8dUXvx3NFecHS39Ki5I+4t2bgY5rJQqtRFhiLiS0lT0okxQwqWwCtYDHK+LonJUprTN3Vsi0Hw79FX30b0fCAkyMTNPXoxMKwg9Aa3sVKceoOZS9jD/ORI+zTHz0IanCsYEOpjk5GvGkl2SrvEzhVQerQNU1xgjIpVIQrVEBX7vGDwhpu25r31KT/34BGtt3xtf4kLmtIOfHBcsqkrHtZbtAr0SRSwzDtuQ8XStgC8Ud2yuyj49a+9jckCp3XDEDRn1ZHLYs9tX9EnVexwW6JmjsvZgSHNFE6LI32w/Nrus3xte0FlB77aXwBil/zO6S3rtuJqO5+CTtxg0LXjwcWGl5u5mMOleYvNFF2bcUxWwPF5STuXQXF+bbCDovtcS2kdT49LBm94sZlTlz3Ls5aH5YbfO5zzuzf3qbOBXZezSUHaMalcq7ynsgO59pyuDpTW8fy7Mik+2vGjov7DPj6sGPtehf1DfxcTo2JisyTf7lF2j5JODBOJIUoocaumjjKUYRK+UEoRUSp1qKuU7Zk81U2TqmoanPoydcyn8uR2r8l2SgpXQGTxI/yjmOx3VWMm6wNJ5kmnlHYtulUQEtZuozBk4M5ZUqeu3mt04rC7SiCRqO/ET7pnyn1VUZSeupeOO2RRUo1c4vG35s4LZuHFnbLXYj2QsP7+zE9WCGqfxFmTICpIGk8v18nVrwy0vXj3+GL0VZdg6SlQo0n+NLlQ4UISVukqZcRGpJB2RnYvc4TK2UrnH4oonf743gOhtZjZwOnlju7E0uwLzMucna6JQJk5sp+85uaDlah6l068dCLE1tDmOSZZA5zMG/Y2MAyGohgmR8zcOlqX3XXOXc7DxY7OW/Yq58lxxb4vGIJmmXcch5yylPCTz89esPcF7x3P2A8Fm66k6TPWg3ihv+zm/PaLB8KM2uZs6pLBGd5e3tIFywf7Fdc388nV8+TkwG1bMct7em+4OZxT5gNGRawO7Iecps8wOvJwueXHl88IC0X9oOdXr99h3xf03jA4Q26El95vC2yn6FcRtwpY6ymsYx1LQhUwG4N2Yp5WvbFlbgI3h5rdQaiieTGwLDteHBd8bnbFu/MX6MSu0YvA76gHLMuWd+Y33C+2k4HZ+8dTrl4sqRadaDo+ziGr78d7jD8Ax6ejqH+3gj0e36Ogf9N9NNMAdeKSJwm8r2QQqXt9x9lW0t3atdAYA/JlpvKEVtwcycPUDcYy4BMurYPAK34WJo668nJOo0FWWKZtY39HP4xBTyye4UQUpbrTqIEJ3495EDin0cmqVs5XxUTjc6+wSryIfPwU/iA4vBq+tTsJlUcne1+38KjZnVAndAZVO4FWVNqtzDymdgQv1Eg/DxLKUXjCTS5QzExeq+ygIHo5Vz8LZKsOm3mhE/rEUimly9dN4skjjCWA4OX34ZDJghpFH8CgIcjAbhogN0Yw8NJLDfepk3d3fHuTRF/dYCkyx/Jey2ZW0T6fsd8v8Q/3LOtWFkgdRbFaBfKTTnzFvaKsPMtKcORy7hiC5vn1itmspS56lnlH4zJeHmeTf8u2KzE6sL6dYXSkc4YQNM+vVuTlwKzqeHxzwt8Ln+eykmHibVsxeMkK/er2glkm0EvfJ5HTUXD1y1Nhslw1c/ZtwWLZsP1ggZo7bl8uWJ4duKgPFMbhg6YwHqMDgze8vbhlkbW4YPja9oLfuHmTnz17xO8dz9n1BZfVgSe7FT4qWmcp84Gjkh2J9tI8DcecD9ZL+dzksgOMClgNzMqebrBsdxVaR8q6k9e6m/Hj90QCU5uen1o+YYiGZ92Sm9sZb759y1kuKtdMDRwoWLcy5F3Nmk+gT/9kB6W/X8eno6jD9x5gfDd8He7gh/FHJyEOqlNke+lWh1WCLRJurDsJVyZKZJ72oDrpxv3Cw8EKNNEqSb4bDcNsIC4ivteEQe5PEi5FJcwQdZChW6jkdalOT0ZjwnXnjnUTJQZvFPZECzoqvBU7BGc9dm+EPghJTBUnj3nVK+xB/s6kkAc/KjSjYOqxDqmTlwIpFEqF7jUhMxNVVNKYNGYlHOQwaEwKx7a5x59Kig5RiVf8hQx947rENBrTKgaTRDwKZvcOEroQFdVpI4O8g3ihMGixdkj0Ukm4ElaRPiTLBYt42yTlsNkZgZGMDDRHgVhET3YRSklxHucNfm9RiwGt48RKKfOB5WeuudnMGAZDaR0P3rjh5T++Ny0y/abg9MEWAGukIO7aApuKYz1ricDV7YJ9VVBmbircfW/YbGc8ON8Qg2J7KMUauTfklSQ2jeEaD+sNN92M2va8Pt/w/vZ0wpX9aFLWZphbi1945lXP50/EufGy2nO/3vKiWXA8FrjWUi46Hix2bDvhuW+PJb7smSVIozCO3VAysz2ts1ztZiyyS54elvTOcMUMHxSHnfz9suyYnx/Z+xn1exm9V2SLjvaYc3JyYH565GBLnNOCqw92tB2arneRSaf+ZL/i8e6Ez528RKvAuq9ZtxUnJwdy4/nVq3fETjjruSj31FlPteho+wznPwlK48d/iN/v49NT1D/K8b0gmPH3USAJc0hWABdecOqDFsl8jgz4csk6NUcRErlZuHueiJhUjd4tgwxDQy7e6bES+mSs0kLRGYmx6xIf3MlriTuNqxLQr5LqMmhUM8ImauqkvYgXBcOeyfBRuPRqbIDF3AwllL/RVz2P9PPkqtjraZeiW50WD6C/G0DrRk3XS+LbDCjBzmMWJNIvKpSK5NUdztm1GWEwUty9Tv7kkXLWY84b3NLgvMwG8txN5lleK0LQU+5kNoYbY4mD/dZdVGfuZhSdkQUiDWL1oAhlElO1AkuZU4cphWPtnShJ+7YkWGErOSvFfBjk9ZAPGB0JUfHm5S1P10uaIePebM/+3Q3HbyyJWSRbSMeZW0/TZ5NHzP5YMGwK7EKuje8189Mu5Xha3GBw+4yzhxsR3xQe74xQK4MkKIUomaGVHeiD5aw4YFRkNxS8sVjT9BmHnfiQD4cMU3mZOUTF/rbma9UF9+sdLhoal3FzrCS+sNe0VxWPlHjb3FvsqYqeKhtonZSD3SC+6h8cVuyTnYGLRuxtgazoycqOInPs24Jn16sp4GVYCkTmygydia9O0+SwycTiYg7b/UIW1xRmcnm6E7PPFPl3aHL+r/ff5ez1NcuyEz/2hefLt5eU1vGFE+nmb/ua1mWEoFg/XX4rPPt9Hoofdeo/vOOjwC8f9b6ROyOrRAnMNsI99rMw5ZGq1GErn+rtAKAT7BETDVGoitEIsjAWwaiRyLskxGCQAmoPqasqZdhqG4U5KtQAoVC4lcMX42AUso1g0KPEPqT4ulCFSRIdyjBFzYUSUXhGJjfEmIU724RkiatSSIbyAlP4RM0zmwRvZEgYRpGUmklVKYKoNAdIj+etFgw7LXRZNRC8ZMHmdY9SiN+zf5x4AAAgAElEQVT2QVYkpSPRa8nx8IqmLcmqAZt5vFd4ZzAmTOlNmIhKFMpQ3u22dC+rmM8C+piyT8eBdC3+5jqXhS8IBUYWjQDBG/RsIPa5iJWCYtjnYi9rpdgZFfFRUWcDy7plc6ho+ox7iz23P+Zp+4xmJ8X7GIDKUy9bjJUCnZ90nC6ObA4VF6cN87znZT/DO41rLZhI7yy9k+sTvRJlqxYM/7w+8HwnuaQHk3NaHFlkEg0HcDE/JEthMQpzziTPHkWMmuvtjEXeca/aUVvLk9sVsZXGQt3vKPOB3HpmWc/L/YxNIxj5jdPsZjmzXNgruXX0nUUTOalanrw4oWkzgpfULHfIMBuDKqQBIUB5pWmMxT440vcWv87JN0InVZVHG/lceK8xReBmNyPPHGezI8+enoJTZKuObsg46Mi7qyMhav7F13+X9VDzopuTay+xeYea4fGMvFFkH5f9EuP/P0Iy/kAcrw5EP0px/06FPUEk03KcWDBxFqehomrMXSH3ybfbCDNj3LIDgvXqyLBIatRx0JqUm8ol0VAKniBCf0/k/dlW6HM+j5hWMGQR78iXQjcae5TX6apILKLw4KMMUPFK5NFezikmZSckCuNoJ9wr4a+P5nWDnrDmUMlgN868dOy5BFBMVrdGycJnxKArkKwAxsAMxBo3WglejpX4y4gFgtge9C7HFhLbVy06mqtaBoyFQFPieQPDLkethD0SFKLObEy6/nfXJ2bxrnBreS12KzYEo++Mq6OwXUwUpW6y4A0gMw8F5GKWFk8GQeWGZCKzzmGAfZ5jLyV4+eZYUVjP/dVu6mRfW27JteNr9oLBGYbe4p3g3ADhYCnvt1TZwOKsE1imKyQJqU9MHBtoGgl4CF26TYOqHO1g8VELO+ZQc1I3tDbjZTMnM5771Y7COC6Xe4wONEPGvi045JnQZVuNW1rWrQQ9l0ZscUmajOBkRzTLe66bmtx6NkmwtJi1lJnjydUJeeEkRDsqfu/2jEXZoTQM6xKz7PGDFqfLt1pZYLY50SqKG4PuNN1OYLT8WoRm/b2B08WRQ1NQFLJzOqlant0u0Hnkg5sV+awneE1V9dRFz4uXS57OV4SouO3F6+aD/YqX2xl9m8FtDjZy8U+94INf/gRQ9U9/Tf+UFPX4Hf4/FvsPv5ffEYKRwqxIxXMUrfQpXeeil46pkyGhGpiER0RRUKpBuj15PDXRB6WghBT7ltSSCqJDutuVk+zLxPbQvSwYbhbJ9mPHn4RLrbxOnRYVFISYTMCcAqcJK+Fm4+7okqMdgklBHxFEtBRe4cNniVWi4lSAw8xLjFwe0LWT59OJWbK3xNECd/ZK2DbCMlEmoMfrXSSOthJbW50F3GCmsIXspGOIxbSwRMyUlCR5qentSxx+cxBFasjE514fhW45vidKUs3QgxiTdWeiEJ3ESArxX3F6coAcvdopHUXlaPeSL6pyT75qBS65LvFPK7YnGXiFPztyUjW4oFk3Jb7QLIvI66sNX3l6j/BcgiGGhWaIYDeW9iQjX3hc1LzYSvycMfLB0XuDPVqGeaRTkewgO6fh3GGywLzsuDlWOKcZOgmxBsiMZ9OWNEPGWXWk83K7D7IzUmVSx1YOOsP2WDLLezZAkTv6pka3gtvXRc9xEHWpUpHhkHF6b8dZ3TCzPbt5we56hkq7h0YHzmZHLk53VPcG8TEfMqzxdINlfTuTuVEvat2YRfIPMnwpn83mrQFdOda3M2Jn6E3O5YONZI7uCjat2CWcnB1o+4zt9Yymzjk/22OVJ6Dpg6Vzlsx43rm44cuP72MuW37swdUn46XOj+CX3//jO70Brxb6V3D0Vw/lFT4FYkQFceakAHZSaCSuzqA78fcOiSmi2/R3vcY4iMYIjp0GeKrR4kWe4uWIilCkLtsp4WcHlfJEhUo4zKWTt2l4qgeR1Q+VT0ZgqYgmdkxcOEweCCYQjzZZCTD5m4RSOO6q01M3P/q7jNAMfbIgTkVOn/UoFYXBomAM9WA5iONeJjuE6PXd0DkNuQikoI04fStib4QBlEyW3GBQOpKft/SbAtUY9FHsCXyVQsFNlCKS2J1j5uz0ttooitlMaJf5rWZYBIakEM22mj6X4XfMItGLEnfs7kMd0YsBk15T12STmRpBEYIizz3+pMfvM+g1iwc7ysxxc6zITKDpcrSCIikcs9zhHh5lftAZzMZSXCsOlxnbvhCmhhUFqkKuq3i/yA7Ptpr29YFs3qM6S5ZLYDMgA10v4h2rA/uuYLMvWc1b1m0lyUhtwX5fClffyXun9paYB/ou4/H1CcFrjPXJHkKDDVxvZ8lYy9PsC1BwWjdoRPTk3B09FRuZVTI09clXxkfFsmzFaKspJYQ95RK4udhHmFZR3sD2C04W58aKzUJS+O6bgsEZTu9vWb93gloNE8Xx9HJHkTku6wN9sFgVOMmPPBlO6L3htDjy7hvPaV3Gi/2cKh8maOoHPiLwI/jlh3R8m6L8PY/v1N2nAWfMIqRoNXFVFOtbiVtLd83DHRxD6nbTtt/PPbHV2P2dbN8exW5WQqiTMMgGcQC0AVX4qQj7savv7iiO0ak7yl+KZIsxTnmlMYsJkwx3u4XSE2ISHiUzLdTdzyOlUbd68oOJaRCsyyR0yr3E88VUGFIQdPQi8tGl0BVjFOwXp1OUXeqIk9dNTIZO48IRSkXI1IT/qyLJSccsU5/EP62GYCTvtZJBrD4YQj0mNiGMoqjF12XQ0CdlMNKpu3kk3yiydaLOJV+ZkDJXwyxZJMM0wFU6UlSD+JSoSJZ55mXHomoxZ5H1scKoOBXZthcc2HlN4zI6b8msp+8tOgv4xuJPHM0Dx+uXkkj0wYsTzs/27JsULrHOKG4VwzgziAj/3gRmK3EjPBwLaQbSZzJLgiWfBGjOa3ZeJP8+aIpyEOy6ySWysJYPbHAKrdUdjh/T52PQdOsSgqIvPFk1YGp5rG1fcmgKCQgpPeo2I1SB9cs59x+uuZztEwVSePfayFBczwZCa8VXycp31s3Ebz9/aegv5LMWynG3YvELTTkb6J1BnfSJ5qqwmaPtMy5nh6lL1yrwsp2zbUu2h5JnVysuz3f4oNntK/aqnCIhP9bx6a/pn5Ki/r2O72eQCsmHO6IsybNDTUMeuOM4Ry2J9Wav7xiRarR5vfMQJyYFZs6UwqM8d17eSMGLVqCaMBMmihoDkpNvS7RM8ILyStwgM4jLQXYQxQj2S2c8HUUQO4M0GIxOE3S8yzKdp659EOpkTPmlYdACdaQuO/ZJLWmjwCgpOGJMl4FEH0SLk+Q+eb+kkA5ZyKT7jzoNk0ccexQS9Uqes/ZEoRhP2ahBy/10ynMlRRKOgdaqVclpUmwE/CxM7pVqkPAQ3anJrTLEKHF5lZfQERsEr+8k5s/UDu81RdkLnh8UTZ+hVWRRdmgdpqg6nZSUSkcxzFLCmLHGS1efPOHjLBAGQzPYCZZyiVcenMY2sugNi5CYUZFyKR7rWkXmZcfgjMBW6xJqx+FYkCVxUwyK7bZiuWxYlh2PnteilRg/F1mUwXEE81AiEbWJ+IOmuDLC9Eq7NFU78lLok1oHCuM4kDOrOtbrGeaZ5OSGE1HHDokyqJJIaQiax1enEu8YFHY24HxO8LKQFtdmKu6Tu6iJkvO77MlzCZppulwWhCzgG8Pp6kDTZzzdLchMzVndsG4qbtYz8sJNGbDvnr7gN56+iVvn5Om5Pu7xI/jl9+FQUd1Zzb56fD+D1HSfaWsfSIOqVOCD4LXosZNPboQpm0IPQMrjHK11SR5OQUsRCvUrpv1pJ6AaMxlTRSdFTyeLXeVUCo+Ik6pTJZ8Zf7RSmNLDhd7cqWJTWtM4nBxDHaKTQeMY3zcGQ4tPjGCwBCWXTcfUgYuTZBwDRrwSfBqIg7mzHghy7fzDLoWKGDEyU6CDFlWuSotKJ9SgmCeMvxLc2GZeqH3bfMLKQynXfzLwOgr8FbyCysFywJgo8YEByBCR007u5+pIOJcv/OjDI2lXEjriopIBbFBENG6foStHUQwcD6UUnnIgzweGoDFKCn1M0EwcNLp0mMxzaArqsqd3Ztp1ANBpsjMZNu5bMbAaxUYE8Z45viZOkuPnrb2uMIuBi9MdbRJAAbj5AL0MV7vB0vVWnAkLCZrYNCXVrKdLVgTBaeLRyvWeeWJvRf1beuzW0J8G8vNW6KK9ZbFsOJsdmWU9Lmge3Yp/TAiKvBzo55nYShSyO2z7jOf7OZ85uQHg2dUDwj6TxKhbi7tkmtGM5wpiUDcuJPX5UaiQx4IYFc+fryhmvVyLnUWtBO57uNryci8Q0a4ruN3MKBIttdmVvPbglptuhtEBsxo4+8w1j37542v8f8R++WEeHxWC+XBx//DfpMdRURFDvLvf6FdOhOGOqhiSLYCbiUufSl4utoFhnp7CiC9MKEOCb8JdhwrCpTYyHFVHK66KmXTjbimdkx0k+k4nRMSNEXNVwuNNSEU7bdvHBSMNK0esO3bJGyVPdrMJzglFcmScCd1P6UjsTUoyegXyId6FP0PKDmUqXLoVj/lQyN+jI2rVoy/8pDo1JpAZcTl03uC8xjnD0GREp3FB4Y5W4J/Co5KzZcwSa2hQ4MwklIpVsiHOA8Gl3cZoI5AF/EwRlRbjMCUzAnfiJ6uEmFSN4/sfrXSLpvDUtdABg1fMFqIQ3TcFWSZdZFEONNsSIlSnDfNKQh6MDhgdqAtELJUF2GZkG4ObS3By22UEr1nMG6Fptjn5VtM9HOT9c2LbYPYapyL7qsB7jR0xeB0hBaJvny4k8WruWZweuV7PcZ2lnHcoHZI+wDHsrQzjqwCbLBmiJYiPlKuqogwgjTzPuq3EbyYfUmJTTndTTVGCbp2DFlPMY+GpMocLmuhlAG3a9Fn3KmkYEIixiGkWlXz680CXnCq/+PAFX3t5ji08WeYZCk/oBUpalh2aSJOu39BknJzvGbzhcrHn8sFTQgrsaJqct+9fc1nt+c1PxCbg4z3EH4Tj01PUQb6QxO/crb96fJchalQxeZuPVZep2OteCZ88SgE3DkIBXsdJkenryGCjYOiZ+LqE/JUgDpuCeUeO+KjENECQx3A6KSM7Ix1NBO0gZuLhLiIfYW6oLBXtQd0tPl6hElNFaYghwScqLQQawYs8IpJSqXA3CfIZcfPaS1arT0yZVzFvFcUJ0atXkpakox5pmioLKAVZJkU8RoXVAR8VwyDCkBGvNkZolNYGDuuKsMvIbo1AJCeDFIUuFWEt/jOE5GFuZCircg8Ll2iIiOdHrRlqgVWm3FmVvOYHRSDAkLbnqejgBA5r2wzXJUw8GVWFIP+O3HllAnk1UOZJTBQU1kSaPsOawGzRsn8xQ0VhsGS5kyGxjgzPSm4by+jiORnC2eQx1Gv8wwGTBVZ1w9Nnpwy5zB5iUMS5Q2+sfO5eb6G1Uy6qfpnROIWtHeGQEUs9qZpV7rGLjmFbYG+tzH00+F1GPBo2CMsoyzy5dVS5MFoOXUa/kxnCKKYbd2iqdpR1z/pYcbitsJUjXAT8VSGCuk7DYiArHX3M0bcZ2V7RzqNEQbaGbNYzK3oerU+ECnpbsG8temOhCixqoYC+3M/om4zYGrKlqJcXVctltedBuZ2Gov1Dy/vrE2HFJFjmBz0UoH7k/fJDOj7UdY9F+XsW9u/zcUlhFKOP93gfkyb5kxlY4muD0O2Uh2ydOMrF/8feu4fctq73Qb/nvYwxb99t7ds5J+fkpqm09o9Kgw2USlEptYotorVVbCLBUKxQUbGtCJVaIf6hNVgQDiQ0EWlirdggLVIiUQQTTVqhQrykoZccd84+e6+1vsucc4zxXh7/+D3vO+dae+1z1t5r5bKzM2Cz1ze/+c3rGM/7vL/nd6ENLsSYFy2IwgaVUkAx0kIWjVv42PxbGlnBXBxVQRwSLJ5YmRy+CtBcHRUoE6mNhI6oZg2rjIwAHHy/nw7VbGjPLAmcyemtA6YoSztvuqcpmamYCrpAC0b/1HXGsniIeMRIYc4yM4AZYPGQwAxPCma8sV8c0qPSh5Yt7BsK1OsMTO5UWEBla7my70YUbl2oYn2I/PnozW9eOXx1ajoD8vLhiOs2+EirID2h1F13CTk7lOxOux4VlMlD9h7z7CE3gHNcxLxTPH26ZYDy5YR4uRAaqYI8BzyZbRvnFbL3gGXJLjd8v36T+Vk9DJAPBsjnJgiAqxtS+lLyhNAO9BvKjxY4hz7Qd6vCBKobYLVesHjOC+IdO+fjhUdKDvFxoI//FyYMMWN5dwsIO/a698irgqMOOIzcmdTCJkLuAtwC5Dcz4mbBMJSOpd/d06MnHwNnMZeZ1NegwDEgqViMH68fWUiXHR8dEULBB7dbLlrKGUl4L6KOis1be+PdB1oQ3EdIEaQh4NFbT3BIEbk6vD/vMPqMrx4v8E2bW3zrll7vf+s1YOp4dQTnV/14mTi7HwLwzwB4T1V/q932YwD+IbvLNYCnqvrbRORbAfwcgP/bfvdTqvpH7W9+O4C/AGANJiD9cUv7+MbHc9siMYyyFfb28zN/clbwn7/fCxeDyosOAnJro8IfjEHhrTjE00zWJTwnTjrR59Dog5WdvzqgbEp7YQDIRXfmWgjwuWU2DH0ArXTvAn9eCYeKlYXXJVDwkyxkw6x3oSAU4oyaGCrcTWFIgxleieWeuoNZIsAWiSYsyiyAzbWyibJqADvLVYFfF5TZ94WhPkRgB8umdJjvRnTrY69wAzNfhyHjYjPj/jCigENhRFPHPo30h7/KzJqcPESpdm2K2HJli8+m9M+xLswXxWw+MV7hH0d60F9n4HHooikVfsbV8Gw9BlpDXPD1OacI60Ssf/Es6JOHronvT3kNrAu2VxOmFLDezpinobNnECrvfwgUOK0KNAmGpyY2G+28yw5lCnCi2F5N8DcH7FYzDkuEc3R45NzEvoPLhNVmwfG9DcK9R76hf0360gI/FN6/DTELcPymDFkX4C7yOd+c8eiK+aXzyM9KJ4/wOCI/4ktabgcu5uD3HY+0ZcDskMqIBECGAnFK8zQFJHAHs0yRA/LWBz2OCAujEPl4hPRwAUzHAWXxCLaIyGJMsC3fx94N9IWfvInOKt586x5PDms87Ff44OkOv+nz7+Hbx/cxDwFrv+BzA/13tmH58HX9MY/PSqf+FwD8eQA/0m5Q1X+x/VtE/hMAt2f3/9uq+tte8Dj/BYB/DcBPg0X99wL4ay/9Ss/qdoNgALywoL/o9vOfn/mdLRjtom/e53lUJGMKMA2e+KIzNWPeMHqtpeZABGWkQMkfTG4fzIqgGsUQQLnOqEePcE9GTYNjymAOigmIiwmFhM8VHwRlacXJqGJnYppOebROXh07X2c4vFYbfIZKBs7sSYOcXWerSG5qUypaW4jHM9h6Bdx9QPF0YCxCL5Fm8lVgdEEHxM2MECqcUwwhdxfC4xIxDhnrL97ifr+Cq2KdNnjxHz3CowTEQvVlg4vMo77Z8cKZnH9NxWN1nnTMyQJI3lgskQhoiVF+b17x2aOsjfFkkIw4Rc6+s1ygtFDWsSLuFmDH7na1XnCxnvC1x5co+wBZFWLLsTJOrQL+6FFHhoSsbh38DBy+WIBd5ml8F6BwSGlA3TmsNzOmFOgd47iD0KPnuecZLqFKczX1iuGKroY0jHOojqHZWgXLNamIamZzdVswDFSMpvvB/H64U1i9ccB6SNhPA3cGf29rQSzcLZWtLe6bDBcUzhfsNjP2xxFLHqldADhkNyEbzPIgrSvc4nkeNw/74iCuQlNEyvzO+4JXBKnSn949jYQUB4W/Xti9LyNy8vChYp8GrH3Ct2/fx1wD/s/7L+AurTCV/+2ly8kLj18nmPo3tDVT1f8ZwOMX/U5EBAxO/Ytf7zFE5PMALlX1p6w7/xEAf+ClX+ULhp69236VL0FP/1dzPCwr0hjV2Cs9es4KeldvDorlplAs1NSaXq2ztr+poBIyw3D609A0X1bUiFOK0lqJVUd26mVAl8any0pKpdnw6qYwANl2B7rNkOsFbpUhvhLuOOuoUE0lK6AYaCzE3cFMSWTpkJGasId5pPbxjBV1l7loDOwSy+SNGkiMWheaUWmDTwrl897Rle+4REwTYRknNMtarRL0doB/YMiFu1mAi4R0NyA9DCxMjWrausimZhVmfw5jxjDkviCoV5QLerhIrKgXBXVdOvMnX1QU24lIIW/bRVooN7ioJkcfFjtKdohDxnY3GU/cY7udEHbptAMSet2Mnz+gvj1TMXwXkHaVBf0iAU4RxgxcZhbrTcYwJhz2Iw4T2SApe7I8VgXjYwd3dPCe3TvenFEuC5YDdwZt2J2XQEl/rPyObN6Aq4ThasZqTLabs3nCLvM9GgQiwu8rXxSUqwL1RkMM1FLo5GlKtpnxcBixPAxY3xwRbE5ycXOgf89YENYZ7tHM2Us0C+jFwceC1XrBapW6ytc/thDutxP0xmYqbUh/lYCLhJodHt9ucbgfCfWp4PF+g6dpjf/n4W2MLuN6OOJ6OL66+Aj0fnmZ/172EBEvIn9TRP57+/nbROSnReTnReTHLJQaIjLazz9vv//WT/ouvmFR/wbH7wLwVVX9f89u+zZ7E/+TiPwuu+2bAPzi2X1+0W574SEi3yciPyMiP1Me9me/wGmL11wXP+nqev43gu6V3QeRmclFYq6GGujTUiMFMuHBYXjKiydvlZ4j1ln7g7O4NnbQ1Qq1RnOGNKVevihIl4oycugqBUhXBfmNjLqpqIP2QGz1LPqwiDz7EKArUh3JaDFamxVXERZ2NY8OCcagsSSlOlaoZ2fOjoowUnv8Otpn0ZgjVeBuZmwuJ8On5YRHxQptkEwRlKNHSQ7HifhwMWVkYy0EX3C1OfLCfWuBzOZSaDsj90AKpa4L5HpB2CWs3tljfXPEajfDeXbWx8OA4/0IfeAOQYpAVgU+FISh8H0vrhuAqamFdbTPU4C6j5AjP6ecfGf5aFD4XcKwyrTWTQGHd3d4/71LHKfIU6iCvPwKLIcB85EdaLko3PUZRKXJ9UJ8dbMnVOPAmcDsscwBt3cb7A8j5ilC9mRJlcuMWhzKMaCap00YCxWftmNxXjnDeIgG2ShkU7DaLBjHhCUF1EI4p64rxFeEkYrYYCylcWW0wsrgk3qdeC1YeEvbLaRjhBsKYihYjwtnJMXB+QqxHUM1WwYGw3CnmZcAVcF0HDiT2DsMd1TWuqFg2Cx484tPqfh9Y4YfCr2EDoEL/IFc/HIIuFrT6z1IxVfnSzxeNnhIDO545YOBst/4v5c//jgISbfjPwbw51T1HwTwBMD32u3fC+CJ3f7n7H6f6HjVQekfxrNd+rsAvllVPzAM/b8TkX/44z6oqn4ZwJcBYPyWL1prdn4H69TFirtJ4ft9zjv7F3T5L35SQDqBHTzBG40vmWpxzexRODJUZBEMT5xxy9F57xo5WJQCqLhuOBUeztbQytfePNCLWYhTam2imnBaKPrjG8aNIidjqgrU2aNk4pxa5BTUDcCtMwVJk+fANbCrbcPPtguont1cAXcmjaLZfcjXDI8+3I+Iq4w6VFquKrqgR1aMcGvCppJ5oZXEBUc8lYvrISG6im/+3GOk6rC8EbCfBhxvVwjXC5xneo4Iu/J2zHPgTiGzkADotgayUE25WlNMc7hb0QIhSZ8JNFM3+uTzPWpz3kykRqLakDgovUmWYKydAmwz5D4gYeCuKCi7+ruA4a7t2Lijo8JX4R8c3FOHMkYs19xZvPPOLZbsCWU8RFI1x4rqFHo7MDpwxXMw3w0nVfLjAWXvgat02hUlhzLZwCdQKayZ1MhS3GloXYXfIYCSPLAGvc1VMMaM5SKhLB64D6ZdcP0xh1XGnGivq8LhfakOMXJmk5bAAJWJGooWnr7cmLtoFX53jjOWsvVw73EwXvYRNVIZfXlBT/2nT7b2PSj8U/rES1BIKPjNN7+E63jE42WL6Ki2vV1Wr+7/onitcXYi8kUA/zSA/wjAv2XIxj8O4F+yu/wwgP8AhKZ/v/0bAP4bAH9eROSl545nxycu6iISAPxzAH57u01VZwCz/ftnReRvA/hNAL4C4Itnf/5Fu+3lj+c764a+mIy8eYf3bXq73/N/+5FviAuFM6l7GUyoo8ZEaUHTre6LQleK5QYID4Lxaw55x64bSjgl7AXxniIMt8AcB2EiIw6iXD55gQBMMYL5t6uZWWk8G/quOKzqWLkonAfNvo6h39Y58k7pq+KUBaiyEOhYUDwvKjk4oBijyLpjHM7ES5OjArQKyoELQynOTLomOhTeD+Y+KN3ZrybfB2pqC8y4TuzcB4dDing4jhZ9VnCzO7AbTGTIkNdOcZXzimGk+CibSrIaxg0Ah7RBeGPGdsUIueN+JMXR/Ei0dZ0AFA4aBHUo9GBvC3AAIQkhrlwHMlnaMY4JYZWQEhW12BKa8HuPuq6Y3ykITwLnLp5fw/DU4fj5zB2WKOJu6fBTKhxwyjoTWij0Ul+uFpQhwD2ciqSzSEC6gCqdKJvvTrHzY6z9Ox93M6IvSMnOiWQq6ezg14R95sTHzNmhRiHeXZndqvsA2dBOeAgUC8WGoU8eD7dr7K6OcK5iOg58jsyGRIaT8C7fZJ4/s0PSCD/Ubj52/Jzx50NFerrC47sRq5uJ84HibAfJ3YrbZOwuJgyh4OeefA5f2NGL/mY44ipOuFtWKK/D1Ovla+ibIvIzZz9/2ZrR8+M/A/DvAriwn98ASSXNI/gcsfgmAH+fL0GziNza/d//eG/g1Tr1fxLA/6WqHVYRkbcAPFbVIiLfDuA7APyCqj4WkTsR+S5wUPpHAPznH+vZzgp5//ns35Tns7hzOPYxFrg2LLUHrR0Tp+Ohs6G6S+y01dOIK2/IXdcIaCFu3oaeDQooG74uPwuWK8IdwxN2QG0gpUHhF/NVHwyzd9o5wg3Xh1fElXVa2ZObXqXncmLD4kmRhfYAACAASURBVABHOKYrQleGG+/N1CY0OAXsIjNQVzYUbYZcjbZo2iRkqk9oRuaIUzsHSEIcMtx1Ja84O4YxNJgsVm7dzTuGxl4VUwrM8Rz4fo6WXLMaEub9ADcUhDGjRodiu5Dj4uBHwgU1eXgzrVIVuHXGMBCWmI8RuKPSscFqsi4QX1EPgR39QIqoTI6mYiuboywOUhnKjXVhN+wUZfaYA33EaUms3V6iXGcmMTlB+dyCPNFCoVySueMWDjPj9YxaCUnNS8AwZPhQkCf6AelYu30vDLoZbh3992H6AHuNbqI3DgZaPpxDMatVwhgTUqHfujjSM9UrnTXbMLidRwCOe9txWfasDpUwl6vwZsk7p9gZUT5W5Oxpb+ArvAr0osJ7Fu1aPBlSdvgHj7pyKMg8H44Ul1UzvYtXM4YxGzvGwd2atfRbC8YxY4gZF8YQeveDKyzF42KccbusMfqMVD3869D4v/xDvK+q3/lRvxSRxhj8WRH53a/+wl7+eBlK418E8LvBlekXAfxpVf1BAH8IHx6Q/mMA/oyIJBAo+KOq2oas/zpOlMa/hpdmvtig7EWL8HNFvtnKSvPhMC+Rl3mK/pANxqkgoyTwgvCTcGtM7ynUjT1PJRSTLpVddmU8HsCuKt4K6ki1aDQvmOURXQX9gd044R70AGaxLE9JVmi9wF8ugArSHDgIcwo/VDhfkKfYO+Eu76/gBT9oD6ZogROYTzF8AmL+YU8FYMed16X7tWCskEMwLJqJTlgcMCpq8ZiLx9pyJpcpknOu2m2MS3IYL+buMXKcybYIoT7jYliV/O/1Bf2580K2w/qGqs9syUSleIhXpClQTBUqaZbFkffdvnNBHwiLpxNkC79uEJZUzkh0l3voN8835c9FuhirZNIcUYVUzIlxh8UL9NHChU+UfOy3T6rawzR2fntKLKS1KtIcMK4T4mZByiPcg0dxQNwtfVBdbbfYFMtw/F6ruSf60SirFRhWCZvVgmmJmJaIeeYi7pqffCR+3VwqY8yooWKZA3ee1fHxK8+/+RiRg0cZcl9sxHO+VBYOdEvhwNX5yoE1GkSmbCRSCx0X+CQoGlBj7fbQdWP6AceglbI45soGRj0Gd0poevf2kotMoN1vVcHTuw2+8MYtZgvteNVD6mvDX34ngH9WRH4fgBWASwA/AOBaRIJ16+eIxVcAfAnALxoKcgXgg0/yxN+wqKvqH/6I27/nBbf9ZQB/+SPu/zMAfuvHfH3P4uJ2wT3PNxcVKM4u5KiGKb/EY5//2/Dz0gVEvODrKEg3TNhxMzuZ6onlqlfbvlMk0/JOpZLbPb1V4ReDc9rtQ8X8TkV46hEmYvVS0S1789Wpk4aCBWVPgQ0aoyVodz3sXXloag/lN2sGSnpswDmTmCRRnVp2ZIG4RZCbDfEZ1IPF8bNVANvMIugpJFJbKLQC2wsKZ2Is/cKulR4irTuPkTmkYvjtw56in/VAP4+qQPTVhqjsAiG07C2F7JP+ygRcMBYODv2GWH8IBdeP9oQEthHH+xV9bLyiPkTuMnbZEoZsR+JOhR8CyLpAV4A82AKg/I4l0KLADeUEZ6mlMVm2KUx5WjJhlbgpTBe6fECqDk/uNzQUA6DVYdwuXMyq4yLhOKRNdwP9bDKQrm1QHitkJK7u/UnIdZ5rOg7EvRfbBQBAOXMubDbDKXkIwEEngGHMKMFMx0RpJ733PP3M9wXgYiRPI8IkSFcFRz9gezFZdy7d4sA5RalgI2F0Uu5cgXDnUDa2Q7Vr1A1k0aQlnK7noAxRAeBdxe204o4UjELcjAuePGyw3cw4pIhSBVVfkfeheG3iI1X9UwD+FABYp/7vqOq/LCJ/CcA/D+BHAXw3gL9if/Lj9vP/ar//Hz8Jng58ShSlkuSU3qM4iSRwKvCNDdMKvYpC3BlD5rlB64eOasV61C7EIaZuYdJNbWrpO22wJpbK08RFyxvMaIx7FneXGB5dTaDkF8HwxKN60unqisNSBRAfHGQB6mDY9nBKWpKZJ6ybzJNm5IWUjwFIDm6XODRbmPYDswHo1gJOgQxiyBN3MkVOgyG3WKzdWFi4YYXTaHANhpBAymS0ohFCZVECmK6Dk3d6LQ7DmLDeZARneZUpYN4PZINcVNybsZOI9uLgrDtzTlGKQKvDMsWTM6VwlwKnDFtWwG0ywx6Kh1SHIRSE6wP2B3bJqdJioM6cFehYu+rRjZwXwHzvUcwAzeAbVCH7Ilb61dhOpeH0EurJZTAzf1SGivvqkDeu70oAdEWwW2fkRP907ytKCT1i0x08wt5heUQqpr9aaMFQHWoRpCnQwiB7phhlh5wCQiAcVWaPLPwO3VBQ72M3cVN4wDj19w9r7LYTcqU9b80OunizxlA2CfXkr6/ZXDlXxjs/Buxlhc+9eYspBTzdb6EjIwnzFHh9LPzO8o7zC7RkLmlwH4v/8f0Njd3OPH38QL/6IRTcPtDSM/iK6/WE6GlqJmaNXArVwK9yCPRXQnz0JwD8qIj8WQB/E8AP2u0/COC/FJGfBynkf+iTPsGno6gXATIMX9aOr0s+w3yBXrw/JEj6qIL+/CC1EjOmwAW2RQdFHyZiqVGhdoKWbWWBNHFRG8jVTcW84uPGW3bwTTFaVkxe0qAIZmTVuOoMTqBbowYgD81RkQXa7416GImlloUKURWDOoyqeDIAc90LpXd7C0VW1fzcy8jX6R88jbKc0ujMkUfNqDWDbpzCm7/GOGQ4USzZY5ljz+ZseZubixlLFRz3I8KQye9OpC2isMCmw2BwAAUyAHAw+MT7ihgLAIdCVy6EVYa4itIeB0C5Krh55w7eKUoV3O1XKJOHN5ZHjAW1Cvyalq3zPrKgO362ZVuxXnO30JSkmB0TlExM0/BuVFI1YVYD/uhQF4EORnutQnw8OWBkCtHxQN9zZ4scAMjBo1bAXyQyU5Jx3RXwd+Taz+8w1snvMmcKIOSkLTzaD6StevLxy+KQAo3JkB3S3uiNVbpDImKFG6379RXjisPSUkg1bXYW/cgO4WLGbj3juETuMmyWoPvIhW9weLpfdxXsdAjwuwR58D3gRS1Gj/m4xhBaKQfSu4S6eMQnzC2oideIxopaBPMU+fr+zhb1mybMojiGiKfHFeY5YhgyjoehM4Fe+fhlKOqq+pMAftL+/QsA/tEX3GcC8C+8juf7VBT1vqtqwpNmc3rWvbejMTaev/2Zn1vBbohN90FhB9x+bgKVBulU65rPZfVkzbCrhsDCmfk48IpsaUTqAAR259Lk38L35uZGbRRmbRZCN+GOQ0xo4G7AupgOF0yemO5a4WLldnliPmQVStU11pMnSnst3t6LWb9CzeagWMHZsQirCodwsZIznAKSsSeOx4EsFMPFW0Gvs4dfsZA6XxHsdwxWDlx0VxyCAiy6jba4HTmRPh5GLPsByTpFLQZ7VEE9WPxcMDqhYbpzdrh/vDUhlYPeB2hULJcLomVt5uwRryeEUJl6ZDmkAOjUqPZlAmRwCKB7Pk6fUzj0mU3ZFfh735Onmq5Ax8Ju3was4sjcyQs/m5Ic3NGjnH0HbiKeny8LYYfZcbjbREZN2NXYS20Bb9bN64y8UJzjVpnCs+zoyb/m7hNZUGvA5tHBLB28dbimEZhseLlmUYWn0GzOHtNx6HAeAsPLdU2TrsnbQvxBxOp9wfwoQN9IbFj2vhd0OF6b4SBQIXSl5hNDDQjFf3ppkNziMV7MmN9fIwAIseByO+H+sOKQfUzkrGePUk4pW690fEZsAn51j1ZvMxkdLJaN5fJckW8wy4u+l/PbWtG3+6rXvkCIUQwb/KLhtE10R9cVpe2+NI3iBVcHMlaoLG0GWUB+MxGHNr437CKtGhDPBEztceOdcM0JQDLrgMaWyVfmlVJYvGpUyI4XsRrW20ROBWDHWAS+OLpCJiBvzgRHI4dvhCOsqC0Oigo482Zf2gtjp9ezNo3Vkosn3ukUfsUtc61i2LIQg85CSChTUl8rLWBrdbjYMBYtF48hZGADzC4iJz6uX9v7ywK/thzOI+EQANgfhw5vNPFT3WU4o3/mFNjBKqBekA4D/FgozFlC76SdKIoC/nqx7MzhmQUeIDPKzTY3mTzKdYbsA3diRbD6pYC8obAM5qKpk8fR0Q+nzOzi1ZhPMC96fxDkCyuWBus4c6aEoA9tpZqRXWV0Yjtv26Dcx4o8e8ghcGe4qcC6dL93iadinpZAiGsfKLRTUB2dAF0r/CrDOWWyk6uo0XZ/qwJswB2LN/qhL8hXGXMJGB8L8iOBGzITtcxEjuI+XnjxXpAEyEffxXplB/LsA997SYSVIEC+KsD9gK/djoBTxG3qvPQhZvjxdRR0vDZM/Vfz+LVf1FtzvDor4BUd64VDx507NbGpTZ97DD5Q6/JPMM4zStVimHWshEcEEDBVRz2NtGBwi+jpYnLWaXPBkP48zaJWj0YZU0750QQwZ8/dCkO6VIQju3cx7L3TDR2ATKplDaDZlBVU2VJWrYWDW26PT88hajbB65P1ASo6y0UvzLd8YfcrvsBH2ujC8WIbhmzFVlDsPcnAVKG6eNQMFE/lIbLr6UnuIiGOxI+Dr5z/Gl+bnbZHKp7FowqGMdviQPEMB5HGjiiGfx/ZBZbkKaZJAje7znpqYSLS+Okz6Xvw/A7miRazzhM6ciZ5n6aIdIyEURygq0Ja5H1gh75lapAaFKNjRQ0CdwSWa0W4F8TsUY5kCAFg6r0oxINDeAX8B5F00ggsb5XTAnLw0B29VtLDQE+ZWIFCaIZ+83yvcIpybVTMg0felVOjEmzoaNRCf5Gw3syYp4jlOBBmcmdwZhHkLc81MpikL87arBoCjdA6YaECui1cSJLrHH1/61Eq+rCzGbe5DyLyZYU/embyXnNXWlaMIyyTg96ukK8owJNbj9VeML9B3yJJ3CH4QHHaNi6IvmC/DAju1Svya2S//Kodv/aLusCKDvqJ102sBHTu9+j0w69b0BWdBSLJmB6OF5mbT2ZdNRDzyxuexMTV5bSSByXmurc2yWaSzRDMkYzBreSgnc+sogiPWQjrSlFuMkpyXW7v91TquYUFvQ7ghTCDW/UW8Za5K2iFXo+BHPUiVHaqoQi2eLTPrVEWm/Rfg5wWtVCMHUF4xw38udgi4Ty50KU45MXDBe24tRMKgtQcIFMTxkQKUZrCVAcyX0p17BSrQymCHF03/ppTIEwSC9LCQeJ6s1AgUygaEldRiyfuegzk35/PHMy3x90H8tGbH/3ZDKaJtzRTZAQF4kDDrdGgIawylasOKEfP79ISmXAXufMIFcNu6Q6VWh3SIwf31ZHnzGJJTgL4xfXv1S08z1oAtb/3FNlsqf71sWIYCuLNEfMcuRNccXdUZw/Z0+q2Xub+ndY1efdQnocAoIVNiTqgRI+Djj3kGzYAbd2pWwTFATCJfkkObsfYQ5ggCOZRT+hQIZcZ3s7DMnMRzVtaMEh2EJd7161FUC4LnEEyq/eAdBEQ7/m95C0FezSx43kc98DxbcWJvVWwumD838aYU8FV3KyOp4SpT3zob8Avv2KHoJ942rxPrBiJiW/g9BR68VHwS/vShbBKP5mNcpXNt7szViLvo0FRBn0Wr28XURbIbFtf25ani9ofU0UhyfW4tzoy6k4Gg1FEib9WIF0WSBWEe4f4IFiu6dyokZJrORpX2NwUqwDqjJNv/ubNLAmiJ3WqGZHVke+nh2v3gbANvwxD10x8t8ejRbJS6sJBYcs37QZRweLwrBuTyUEbLp8dB68gfp6rYeDTQJ+QSnYLAGC9oBTXsyshiulAvDZGU9KWs+8wechQjKuuKLtKb50Dh2460gOlq2yH02ejiwNMtNQ8VWqloVbb1jtj4wCELcSGjLpjkfFB4Vy1TpbPUdvr+8KEfBtpE+yoPK1ZOFwN1Da42br8mwViWL0PBWLS+2UmF7vMvvv16J6BGVKEEE9jJVkHi+Lh77m4uQLUQJxfTG1d9wH+wUPfnqHm4in3hDgaN949CcTVB8JkqjAqLYu5JIHLxMB1Izbp5+4p7xzFdRU0F5s9xusJIp6vxaIIVQA4YPsVwXIJpK12oztv5/9wB4jROnVTEDcUIq1ixpw9bvdrrGOCE8XTaf3qRd120p/249NR1NvnfFbc26BTg5pVLE7+Hi86HB+oR7yd3a0FXTSaVRkYYNxYKdIKWOt+mx2B5+PV4ikrD4a5TtyGYgHc7E/GXOBWHkWAO3qY4CJTWv0kIt55dlQrxdFMvtwiqCJ8ubbAiEjH7lHO4vMaZm82AW6BDW2Vjo928UsWuuF55SKg8oyUH8LOGo3+54RnSgvGEHq4OOvAy8SCIzNNsHSX7X6kC9bkMGzYVc1z7NeNGse+KlCTh64SRIDjcaAoacjsyIugOOL9qgI1mEZb0RXtkFQfBG/Nc719Ju38ad9fGxAb3U8ezSzOnqZUMH59S3MaN8l494A3VW9OvodqaAA/M0uqqpXRgQAXNhkL3FbhbupJZwHA2799KBhGdvvLIfZzU5rNcXZkLkVFuaxwe4/41HO4uKNuAMZc0cBOuTRYMlTu8pKDfzAnyoUMoXIMdJRcpH31yGsu1uLJzW9sH8mOTUpFdySVyPOmJpuVbAuyzaRk7/lzdhjGzBAS8PnKqMgrwfxIT8KqoF3FPD+qSJeCfJ1x+fYDDoeR4q9Qsd0u2I2KdUgIruJrhy0v8dehKP30oy+fkqIOfJjR0gq8smNGMf+O8/s1qEGtO7Xrvz+e/a6OZ4yUtguoHCpWoA9Ke+Zli0Qz3FFj7Za6MJ1P9ehBG1IALMJCk6Xj1z0n9OiMYsgLKzw4G9YCUhUZDlVt4WlU7QZD2ftqRYqfAx8nXXII6mbpzA21kARUAKvKoqegkdXANy/WWXLoyrAH5yqKFXEkDi2LdYl9frApkMB4t1IcpgM9QeKKdMJl8SzSFZAz5lxdPNzAFCMfmFm5GhKmhUZXUGFoNMBhcxYWrL4zI77cVMRuErglEF+G9CEhmkmaQROSHG0dbMHNM9ObmmDJxXrymakWT5dIR3SOcwGqVw0SMTvd8hDQAy7ERDQC1CJQddy92PtqgrKiEVgV8u/VXrPRJCtARos3Q5nZm40EvWXkscNyaeeosXA61OjAojzb43lYqDrPXXcfSM3N3miaQkdRUbigKLeRlF4Bh5j2OZdtZXjHmDDtB6AK6h13JmVDPFKtUNfqME+OdM8jRWUugQ6lK+3Xk3sgxOVmXuD5suBzX3qMJXsuer5iNSRsIhlLqZKxlM2dsWXkvsrxWQnJ+LVxPP9Zm3iyd18m4e/3fW4npuEMtrH7qZAz/gyvXUD2hDkUumQ4YwuNiOZhLji5QzogXxu+/OBNNaochDrLJN2yC5HMYtxiyWRuMXcnr4/qlc6PW7UoPdj2GKdOwnByACxWWU6Ffjnh6DVU1BV6UW9BGTIxKq1J6V2j8BXpFLoWfFBmjxqsuzVoRhZ3MpLqkBS792Ry/mFlqTjVYZkjsmHfJ9iH4hixbr5mQFzteachFJRRjJfuT995PO1GuEpzhyATF68atdsGyzoDt5ELWnuZraAGRV4XuHVGHDOyt8Qh28nV5IhhZ4FzDL0gfdOhmmOXtM/fKaSxggwXV5staLcmIM/crzOqOOg+cJjZhG5eqT3wFboY/XPyNFMLFZgcZFMwPDpS6KWC5XMO9fHAwXlUYOD55o+CsjYI0XaZ/uC7LUI/3piBKSBdF4Rb5uW6AugiZMVsSjc5k2odfb/OuJvh9Wh2xZWYuyhQopmx2QwEledaEQeXCEONTxziPZDXZmGtdLZsX9b9cYUxJoRAE7lpiSjVwbuKm/GAD6YtDub/U+pZp/BJj98o6r9Cx3l3Lmf/br87//dH/WzQSsvABHAq5tblA4QHa+T2UlcVePDs2AerHxa+3I9WWBqmuq7Qkd17NR8Wf+/N6pUXtz86SPEnrxVjyMR76f4vAGETKYJwFLgHQdpV1Hj25KaC1SpdFOJm198DYDuUsfYOXgfQk8OzQ4RZodbsOs+3ToG86aPjLmhVDP+2Dt8EWk1Z2z5TFSpDS/bIs8f6Ysb19R7FTKz8NrHT17Mwjcl4zLbopMMAfzFjTgzUEKcIQ0FqikZfn118bGHTdUEaag9ZliLQLdk7eUt2CFW1AnhAfe3btjBQ2j6OCTUWLFPooquqAheLWf2aGYWgDw+dDQk5DPb8bBfDwGPl8+YTlVUM7mKUHk251CmHyqLQObCAVz5Rcz3UxT6nfSB/XwlfQW33dbRdx0qRHmVaWkyCOAPqbVBqLKrw1NPTpRJ2ixcztDpkDBi+RlZKjfystHgGXRTXKcRqu9Zq7Cqd/akRSq43F01YlJ6sgJFqXA5pDRYMQBZF2hmcY8wzeWsiv/8u4rgfcPXWEU6AXBwuVjMuBvqpTyUiuoLtasHDceyK5k98qALl04+/fDqKOvChzvujGC69i26dXMNQYbYBrYC0x1QW8qZWVYAXlUExdVOotsxmDWDdIjtu8ERwAKr2QZK2FJ5YrcjSSsA3u4CgqDvzYLEtsg4FyyMARcgAsMJUB8UyEuMPB0HaGZ+90zjlNLCs/E89iPd7bpeRHK15vbk1mq855CzuLpmqsAKwbEjAnmfy0BKAVemLBwTQrQ0Bjx6ISum7CYzcUKjQDKdAh3FMwAjUyjCK3EIdmo0BQGgl0zcmGz/em9Oj2KKTp2CFtEJtoWznQb4siE88O/UkKJ7vvxmdSWr4lQIBiJczRBTzMcKHamEP9rnaUL4uzSuG+LqcbfNV7b6w8yU72g54g7AEZMzY56RDhboCf7mglpHUxCrwtx7qIiGOREOrsiVzJ4wZYbtg2g/QY4B8bSRcUQRly+F6HTiAjxcLglPgiot9Lg56OyA+cXCLYzd8Xbibyx7QgLTyHctePpcRPgj0oF/RU6mLrCz9qwwkE1QB8n2EO1C0dHIuZXPjm3995hymzq5fVyoghbEljUWFv1ygD5H5rbGwuO8jDvOAt3cPiJ6D9k1Y8HTZ4GuHLe6PK8Yl+tdUjH+jU/9VOL7eZ/5cZ96gEa7AVsEdToX9nFEDkBZpFEQ3seMtm0rM8ei66KSOBe5o1MHGIhGQTiYKXVcgM0fULyfDrjLQP70XlwYJtVQiAcIHbLH9xG2oOkW494gPHMSGwzllzBYww4ClGly0YpGXdGZ5AJDv3Aqg7Sz8WMmuUJDrXKSHZrdBsRoW7zek/BUrtrq0ggl2as3a19JyWtKNGt/ZmUw+W3CGjMZcycIz0Zg7tIuFdeZq+ZvOumRFWJEd061dKzigzNwh5UtjwcwNC244NU7fjze4RAWpPY4o5oeRHfiaFFEtnq+v+cMopfm1CMSD8wGxz7vx4duOYgXgLgCJWacISm64AJjtFK0859LKEpoShTayKvBD6dDFNEVaEQdFGTx3ANa4qCh0BFwLwCiuL9YiCrlaUG4Mn5+MDjlWyDojjJkun0VOQee7Cv/g4O8tFBomSoKtdQ+C+c3SGxe8NSPNHvIQuqFdXQHlPp6uk7FCjp4vubCgi12W6hXDzYRaHK0pFs4nNpsZfjvh85d3eDQeUFWwVI+vHi7xZFqjVNoI7I9rbK6P36BwvOTxG0X9V+DQ5/7/9Y7n4ZnWqduQpxd9oJt1teLX72usF7eYGs+6frXtaF2xEHCrKafXZlhxY7dIs3Vd6YleZ7YDOtj91HBrp9DZw20y8hvoYc5QwB0J/6QLo5st9G1P3p7bGC3uaJ39qL1LR/PZVhZQCAgrtE2FB7TaYNQ+OA0V2h4bYMEcadkqQGebNDGVmGVCE+m4sXQfmJYaX4uxXIqzUGd2tH4sqMh8rCKAN/FQHjhUTg4qRqurZMj05JxDOM0JnHJWUI32N1Rkmy2EJ8HgKCWsNtQ+ONUlnBV0QByZLVSvMtihD1ezgwbuGKrZFmhhRF1j8Ug7HdpuAIDuCrHwIxlSUkHO9jZzkVEAjUs+VHrxRPqNlyKoXnu0Wwa63wtWpYdftN1TnT00nmCp/rkWvn+3S/yeLhM/p+SQytCbgnqd4G5j10GEvSB84JE3tKiQApQIpDcymTBeISOhIHcXLI7RePd7R4O6BOQLhZ+4gysDm5G8ZfZuW2CHgaZv+8MIDYJyCDgAeOvmHnfzCoc04AvbW+Tq8Uv3F3i4X8F5MqTy7HG8X3U47RMfCu64P+XHr/2i/jEPFZwGcW2wpniGXw7gmYxTjUb3y6dBZr4g9UwSu7Nm1iWLYbLu5N0OMUsBk9z3OC9jhkhjm8C2p0Z162rOZqerYJG2sIsmGS9r84xJAg/SJbufDNAXqj4Aa4tYcvRCN7/qag6BLQpPDZrqniLg5+S2iQWjaQAMVjp3wZN1JpVvaTsOwkBaBMW062q4rxZ2rukQ6QtjYc2lMUSAbhhWrxgXJ3sP3RaDiwy3tYLdzLxkMeZO24E06qJ9926hEKy0PFLQm6dsKwsZAH8biGuPhUNKR5y8Auwa2+7DKzD7Hubdg0vKs8O55mYJcCcjK4aJiKJDJbJwPqAjVyVCGcowjYtMmuDs+megKrR1WGeguB4sLevCxTgxE7S9Z1Hy4LFlwHWIBelugN4NvBxitVAPgx7FzldP6KTNSpLZTTAfQLBc0sVQgU6H1SrQFCA3yczEBGUDrP8/Dl2Xt9gQje9ZClYC6sgmRVfE86HCwI2B8BfmALciCyoXj33mTuXJYY1/4NH7GGPGMVSkpyOyJ4TXMmZf7VBuvT7lx6+7ot4DkYEPYeudow48C9MoOm1LByvwdvFJRffMJv7bOnumHFVzoRMYl9yfCkwrOrCuUa1LcoFKSBiW3ZSOejtQyNNsWi8oTdXrAhwCIIL8Rmb3aX/TaI7qGMGm7T2VVjRAbHetvUPtRzNoagHSkY5/Wlh04MiRdqI0i7LbWtB1YxO1rg3NzdK4y2J2AHA2RBzoQ9Pk5sjSBVU6sNP2u4zqK3AfifO3RUjaGU6iwwAAIABJREFUzoMYe4Fdf2a2RVMtxx3UfPLoSRfEa8UGpcU6w5YsRKwdLAyBWxiRCtcEVcGGne1caoNyu61bIxuUc764wZuPyfVE29z7yO+zUVEjG4EqhI7qup449EMlzdSOOlbAvH1ggjZtYrTCx5JGz6zk7OscUa4y0tHD33OuIRWoo/QGoilK3eRQBw5S/d5BC8/7/HZCvQsYnjr4BUgD+Nz2fUvlIF6rmb8dItwsSBeK9FaiK2RxmL5UIAePeOdoJmfkgnQYuHArYxDTHBDXCZfbCUv2CL7gye0WZR+Q7ka8Oy6YU2B8ItB3Ytquy1c5FJ+NQamIfAnAjwB4B3zbX1bVHxCRRwB+DMC3Avg7AP6gqj6xcNUfAPD7ABwAfI+q/g17rO8G8O/bQ/9ZVf3h1/t2wIuzXaROoU5O/PHz6fj592/dXjPi8ib/b1J8Mj0scCJUyGJuds1mIJM6CIAXO8DCNtTuJ913A4eAujY5aCtKALt54d8hC2+3oVydPfHWhUEAZc0tLlzLRDUBki1QouxoG0Yti0Abx7nixAJpZkvNNKoVDGcsj5kMCR2NfXG2k2kFQaqc6KJGZ9PGsc7kU4vj/Zu4SSd/6rIHagTc0Znwy2iEFsqBaoW1Lb4rwjuqghK1Y8sMj7bCagPifJPPirLtmuyzdrNBVdqGfq7v8vJMTxe3zvDrQtdFIVauitOiZufOM8K00OL7+P3UxaM0pzbYnEMAVLNV9toNraQ4ComMOipVgFiJTU8OdUslcqNIuiPPCY1K7LtRAZXUSbcI3HuRzJddRXjzAOcUQYD097Zwe4f8RvucWazh+Vhuls7KqpuCaVWx+bvBcgEAXRnsl4EqzvQb9FtXZzuFKqgHKzFGBZZCim4dAcwOZUf+PkKl40cszG0VxRgzKYz3kQZ124rDPOA3v/VV/ELMDCpfr7gjMh+gVz4+I5h6BvBvq+rfEJELAD8rIn8dwPcA+AlV/X4R+ZMA/iRoAP9Pgdmk3wHgd4BJ2b/DFoE/DeA7wVPvZ0Xkx1X1yWt9RybK6JjEiwr5GbbOv4HJ+TlorAajMP1I+iCwFbI6VoilutQVh6h+71lYrHj3ix3gCd+GhwV96+8mB0yus1Ug6OKkxqbR5rMRlS6FR/qz+4kted7VE/YPLlxqRbRJyxk4LPy2G+ShIJ5vgqrGUIDXbt4ka+4U6uJZHIsN/LJADIrpgSUOLK6mcm088Dr7buHqTWmpDmTOGAaqyXHmMHtCHOffZ+tcDaoSMZvcRk1tRfsMitKgDAnPAiQPjBUaCmTycEczbBvorllGJQHJFkz6jttTP0TIOvd4PAkVzjp2PStY0iyCFT1dCOAiwNi/grjKqCODSZ7RFCTL6ZSWceuRtyySdcs5BiJ9emRxtFuuBn8Ig51RBX7vTufmzYLiIopT+DuPcODzluwhkUB++NIe89NVX+z83pOfDi58ZVS4g4NGa4rWBYdvAcb3PMkBwl1itaaElhT8/OPekr6CWeoOinRRUVcVSYHV1xw1bw4Y3wtIl0wXK14RBlI7oy9YcsDDfoX1VwKWayZzrYeEwWWUKsynzVz4sCq8xl71+CwUdVV9F8C79u97Efk5MPn694PZpQDww6AJ/J+w23/Eoph+SkSuReTzdt+/3jJLbWH4vfhwzunrPURPRfJFK3krhkpopYr2DgWD3UcNe7Q0HDdZh1QBKCGHemGpOTaclEZna38/cfLPzFN0H5m6LR0OaMInFmYrWrYV7y+3gBeKdZl+Eqg7hW04KxJV2BWGveH54qDJKI5gUfN33vzayRkuakVZ1Ip7gz4AFy3CLhND1yQnWmXDMoPxsIWvu4lvoNzhtMGp29IyoCTH2cFQe8qSZIHCnxbEdkSl1N4Rm8fsLN2Jn6ObXFcGa8PWncIdPT+LKhjeJ1Uwb0yWbruourahtZ0PYkNXKa77qUu0gTa4zkPINqmz70NSOVfXNqvbDecn6WGAW2e4TYZ+MPJ3mXAf1gl6DFh2Ff5p6HOeJhALpghuVhZ5a1BbALHxyDxPbBOGjZmLDaYtuKQoJwjDpnPi611vZ34+9wHhweA/AYYHsqfczMB1n4D5WpHbAHrDxbBWgY4nYkC+UMRbD8nAclXhJzo+pitToRYBEgv59HY9WQVcFIxf87QDdkARxbDKmFLokYjzTUXdVLhdwsU44+mywbRE5PuTnULz8nm1Qz8bRf38EJFvBfCPAPhpAO9YwQeAXwLhGYAF/++f/dkv2m0fdfuLnuf7AHwfAPib64/zEs8exP5/3jHrc797/mhzRhuONnzetbSW0AajpBtKOv2uulaUaRfQWRYCFp0jTZDUttlQ0JDJWUE/45s3TL3DKQeTQRtdMRzIHlBHmXi8E4OJ+B5CYkH1R4OI7HH85NjBymmg1jD4OpBdg4Wc9i6Ysfg6CDq3nS9GyA4xDLnhzJrMb9tofjDhE5SMkbx4QhONz2Yqyz7jUIMoIoyKaJ/fKpPm2EzHZuuCDZ9tkFYv6MrnVJttxAd+Rml3CoA4t21AqD3WzgXbUSjxec2gcRrQVaOtGxdzgGQtIOwk9llpke5cKYPhzo6D8vA40so5kvnUBublgroIrQww73VKyCzRC3bmbUGSwnOwXGcMluCUEu0YmuK1wVU6O4PGgMPdil4wE5+gGkK0XFPNHO+B6QsVKMD6XY9475F3DmnHba5/4POXwi69hVxASH8sIzA+9khbRbnKnHlkweprDmUE8q5yiL1WLN8y9wbAeUYYPr3dwnsOxd3ZtXw/j3h8WGOeI+LlglrdyZbhVQ8F8Fmy3hWRHRgq/W+q6p3I6UNUVZXXEeV9erwvA/gyAIzf/KVP9rjPF/DGTX/+u3/u0Zv0vg6GW6uZZ0V9JjyjbCowwmiKhmFXeYZB0zvZIqiXxmhZBOWSUWWtEMriTotA2yVk6eIkHZQOeNGGikbD07GirCn6UMcLs1wWDE88wr0g7+h65ywdpzaYIQLlohj7xAq2zQxoQ2y7Cg8AHvUqsRArLIqucggaBVgsaShq91XRg4dsCsLVwgAKK4S1OJSZ2x9JnouXGjsoKHST+ZiK09BRAIRKmwChH4sL9KGR2dFuwStnEA12ss+xJVO5TB8cHduQ1J3cDdelfwZ18YhmPFZsMZWKk62DgmKnM+ZUH7Yng6TOkrJ43hnEVAQwSwi3KshvAP5pQHziTV2pJxgO5HHXCKQbe30mYEJxBn1wjqJjhXtzgRcwo3XmJd0+rzAavTTbYFXIbvKhIhVBugbcRcLKEqAOdyvEdwfSP50CY8Xh28gx9zPVzfHOrpEA+InK6PltY3R57Z9xHdggODMRW73Pgt7UozWYwdwmw10wCyA/xD7fqTn079dtE8QrbvdrpCWgTB7j9RGrIeHerZHnALyOevxZ6dRFJIIF/b9S1f/Wbv6qiHxeVd81eOU9u/0rAL509udftNu+ghNc027/yU/+0l/ykOf+rfhwYW+/M6xSzbiIUns7SSv6dF3agNAbhm7CkYalSzVoppzuh2yqzlEhgcKXegj8/VA7xgpFH5pSsFLN6dA6vpmeGW4RQBzyVSaXfaIBGQ4O6aoibwlntNulOHNqRGfmaIslCwrsEhkz3nD8dr+hsGtvqszQMGN36sYN6lGwQFRLLGrrfFoCuy4VUvwOoWPCtGgtfM+TtzAI6RCOZDG+ui0aFo6AC6DEwNi3ItAEFnLLZG3unZ3h0j7XakNlx6+2p1Epu+6cPKL5qes283VW6bg6BUg4LcBtxyHg444G8y2kGdZ1OVFsjWmkno9XbjLqfYA/cpaTN4Wd98KglEYzhOIkwprt/VwmGlgpkM1OwbcBrQ27JZB9pMZJh6eoSozfHWLpqUYpeZTsMW4XLF+wOcFDhH8aMD523V1XPXB8h1a4zYxMson1zFCvwTLksRfUSHru4dsSkATj+57D0h2//zqZojXqCZ5yvLbCHRe9MoXTTKst1k5xv19Rx9DOmVc69LWxX14nweTjHt9wXmxP9oMAfk5V/9OzX/04gO+2f383gL9ydvsfER7fBeDWYJr/AcDvEZEbEbkB8Hvstl++4/xL/nrQy3k373BSVBZYAaQopnXszQlQzAKgYeH+6Ojrkika8kdHhsLRdYUjTNRSp4AebD2fuq9WbAF77oEOgKftNs6Si/i8dVuIwSpd9tyR1L7mflfW2oepUujXLlmY3l6tgJ9/Ljb0JORx1rkUOf0HPMuvF3Tfdb/KGLfs/FSlu+cxbMMGsLGyKI6V9L018XCZyEfvIjHHBRWW/sPgDm9WB5Vc7abWBKErddp3VADgzcK4zUJEja5qnb67NV78IUD3AcvdyPdt3HQ5eOA+GNzE99t2K91jfKQxmNhupe3W2nfecRRbSLSxdi4y8jXnMY1rXlaKepVMLGQL7+x5ztj5qiboYtCHQ22h2WefdT0ElKP52ACdjRNC6fh6zQ55DqjFd6l9WNGzJdx5DE/pAHn4UsHhmzPKWhHvBW7Pz8Xfe4Q7h+EpP1s/CcItPe1RBHoIbAwuUmd7zW8VUhCNMRU+iH33UydPg7mF0YCuAH4B4gcB/klAfX+EfDBAQsXxOCAdI7SC1MnXAqnXl/rvJY5GMPktAL4LwB8Tkd8CEkp+QlW/A8BP2M/AswST7wMJJp/oeJlO/XcC+FcA/C0R+T/stn8PwPcD+K9F5HsB/F0Af9B+91fB1ebnwRXnXwUAVX0sIv8hgP/d7vdn2tD0l+U4x9RfdPtH/Zn5SutgmPnEbbBGdtNlVU3kYRelPyvAM53yWlFWEcBXuIm4u1vIQqmmwiOlT6FqPGqjT7qFRRlCvLUnvFsXhIpuryqJeaLq6cmh5g3vjg460K2wuU1262FFjzvrGPbR9+fAUPvAsyZH1od5b3capKk4yV+Tk7c7HOESC4QWYTdbqzsxQxq0YowWVHvvow0sDYPvObFWbKItMmkKxGCNqtrhqrbbceBQblBUV1E3sOhAQhxuEtvtALI3GqHtAsSGvXHIhC28Yf5tEKfAOWundZhQobeJvfa+6zLxmagtUA7QtsU3n3IMFWXNblgyueRd6OSUXXFTGdvjabSBe5tpBOX5ZtoHabutxeCjyPfm4um7URXGEBq0xBBqnmthlZEvHVzyyG9kyNHBze6kGD0IaiQ9UQNFdWHPmY8oML7vkbdGtTyzkohPGCkoBYgPDvNNRVlXLrLbgrqP8A9Uo9ZAZ9S8q4i3Dt6M9/IVtRNlIjxTWxPwOprs16QofV0Ek7O55UsfL8N++V/w0aXwn3jB/RXAH/uIx/ohAD/0cV7gJz5e9N181Ls4w0Y7n9w6sDroM3F5ANDMv/pzJPMcuaKlrZstqxGgGvSKP8jietevgV1/w+B7oXaKemH45GIXpwfc9UK+8sH196LBXltj0ZTT7kGgcPeOie3GuGmF3VUgPnVMVWoLhYll+v8V3SNcza2wUxUbZXNxxJGVi58OCuzoD1MrF71isJEPpKqlhV1x09Wo6llc4alDd5PrVg66qvBrDllp7qXMTTVGkpu4OwLQzA07d74JycrGILKx2i5MUHYU2rhJoEFQtwo4Zq1mwQnGGAuqo5CoDUAbHNZmNScYx95DOH1Gbmk0WDnBeIpOgUUiBIXZ9c4/PvXIm3qaBTkQOjJOPum26N4+jLEzEdOqQrf0ttdD6BCRFtoHYyA3vFkOaNtx2XsE+Hu3S1icwt0TAnGZJl51UIgIqYsjw9bLlVlcOFBMlHzPdFVzrHQXCWoUyzrSN3187JAu6a+kMzv/4Y6UyDoAeUcV7vI2Y/vEgs21OtQH12dgXVX8qsfLY+pvisjPnP38ZZsFfuh4RYLJ6y/qvy6OhqW/5H2b33bDfZsxVsfMTZ3Y2C8Ah0ZqtLeyo+LRzcYKKL7nodarzIvXCgBFQyz23fnR4J8eTnCxwPkCd11Q9xsOZ0FqG2CvT5RhzGd+1/ma7npqz1WjmhT8DAqw3UH/fDoDhjiuTkw/QoHRPhWYmXHpJ84MyppmZDpWctENGgCEg03r1BXWAVaQrrcInL2uPmgF2Nk3m4VYEUbS89Rb0ELbJWTXxTwUw5x4/BQigUUyg1j3OsH5Sul/EkimtUL7nBm4DcCKX/N3ada6WqzCCuhb05S3LTA6KDTb+ZYJg0k92QOgoM9smn++WpePWKHCeYIGRd0p3EOAQvv3qW0IqeyO29wDzV4ZJ5RH2sI7ttxDu12AYnMHDn/NB11AC4Yo3bIBYBGttkDm0c5T20FN73AGoGtbQIzFVBdGHuJ64dMapKYq0C9NmN8fycy6UgxPyYiZi6CMDsMtF6u8oxdNGAvGVcIyB6gK8uyRnq4g6wx/taDcDf01vTIDRvXjsF/eV9Xv/EZ3+pUkmLTjs1HUWyf+je7TDmc3CHghuhPM0gIAUJpQicXezQ5Y/Mmz3VgT+c38LNTglDFnd7G7PrauvSla266g7qz9LII8RXLF35657WysG9tV+AePOhCbr5GMGbdLqGt2OC0xCA5QfxpsNWpajdaBtWYznhguKgI4whf+3qNsaT5ftnoaFlrhKRO7+0ZVrCoMMm4ttAP8JqMOFXVxTIxqTKAzdpIkga6USUBANwJjNqnrHXpdVcgmUdZfGTGHFq/XcmINyoIQU3bbBE0DF+xtRl0LcPTdw0YMq24D08YeEcv0dEHhQ4HzQK6x55j6oUBjZdEUEGprqVmLMKzcum4NZ4uriZc69dZ2Z3VTmPdqMwJ+Ue08ah+UslK3z689zkOArgriNnX4y9lnoNUhHwNkJDW07WpkcZ0W2vQKEs02uBBWU3X99Xf4sQ1is3XOZ4tMVwMLoLNHcQr3xozylCyow4UiPvU9iHt+o7LxsV1SSQ4z4ikAvQnY9oG2O6LwE//+pRu3r3e8RvbLayKYfOzjs1HUgVNhf5kCD95HRbtd7DOKzeblErS7NWqgKEMBtMg7XZfexbGFIocZKtBtQdlYx2rdvm70xJU3lgQ9vdmNtmCGXhjOfG2a97Z4NX9z69wKMXEJlTay9vjtYmx8e/X0e1cxKAemqGxsEQXCPQOda+swATQfbr4I2+Gg9pg8t84W/eZ60EZNznxkDHZIhi3bwtEpgV65SPQu8KzwCYsezI2wAOj+PA6nLhjWgccKzJH89OTItNgmDKvMWL51YkapRc35NX3g6+KfUYpqcahSIYYftc9WXAvRJh/fxwJdOdoUPwTL4LTPJVnaVjs3Znt9JjjrmQCBg1Ty3glPINsQYSxwofaFpxaH9DB0H5sWLZjn0OtUtcbEhVNEIVYcPOsHI/zE84EReLYgqg1fiUfR0mEWwGwdmgMmVPq8pm4KxWL3AWKeMm3HKzccoLubBfreCFkoUvIHzoAggLs7OXDWdUFONngN2oPQOXvgAFy9Im/QJRSf/FBoKa/6IADwMgST78eHCSb/hoj8KKjEv/0keDrwWSrqH6egtz9pviaK00AU6BS2GqkuZSeFTonsnUzrXKwDVS/cnhtFEpl/qysORxvnveGt53YBUNBatnmD20nfuNgACJsoGEFW6Z0NAXAXbaBX4Y/uGeGdOkW9ZkdYGgzS4BinxM3hyGhQhhK72dEP3C7oXuAb3NF2EGu+DoWDuHoq6E2p6glrwJuN7OxO31GDD4CT+1467Rj6cwl6pyuTYzHbG45sRV69wh086rp2BkwdFNjBMkgrGTWThxsLxi0LvVb7PJ2SreLQwy6yPy0yLbxDbVHzYyHMUQVhlVCMJaMtfcmJwSp6GmjaQgScnWvt81FAHOjXHit9eMBEKFVaGgM4JRjNvmPj9Jnh77XNbu4j5GrBMGbUKvD/f3tnDyPJVcTxX73u+VjvncWdz0iHhJCNnDhCJ2Q5sBz6KzFkjrAAiQQkEgIjJ05BIkFCBEgOIMAZIR8GIRHxKfkT6WxjnFjIxuLDd7692+l+RVBV3e317Xp3b++me3h/aTTj3vHNq3lvqt+r+te/KmV1p9Ls1NTvzYy+aCF6Cydu574ptGICd43x/6UV6pU3f1nmnsGlFgJT6OPep1r0qofuFi2cu0b91hKSt93zNWFdx/yGvGUU2Piu0yX/slzArjltSW6rxTj8b/u6UE4sUcoJEUyOg/8fp66D58M49ni/8FHip/NlO+cQMU8PveSQZVVP1DGodIxkY2OLP9roxYIM7nsk81T8/eI0vST9j9/DQtJIt9uWbW9orQlWVd/OTvEQTThsum5OISwlahoi8SNMuxaWES/FX21b4k5b7boyRT9UC+uoh6awBOrKk3bLFhHT+06L1k8M5oRDYbLTRde4+9Lr7UQS0o/bPQuFrtBFtlrrDaqAt02TndQlTfNWdofkPVsr7e4bq50ZesXYNHm3Is+tYCfvVtTLxhpNLBs0i6kDRmx7V3oqZcTXk7LamXXjM/kA0AarPm2SyRtkehEqdbZSoqt2BSyMgTFq2p0+VJOWjXHSFXJbkRurVBXshplCJTPCtXH6q7VrgQfQNMnEyRSqKpNuW9GcN8kGVqnrtzv7jxUYxU7aipJMq6ddZkvkXzFefnuqtVzTjhdahXBaxsJibm+bLe6++6kVs3dnXfhFkWg7C9tesNdY0dNqBu2ZFbN/zpj/16pbjSww2FTcKE5IevckCSZHxWY79aFj3nv9KDkVxRxzxI59554X/WLSSrouNkDfCzXixIleiTGYNJVT7HZM1jRX0hechPRrx2/2o3nsWuPfrvvdtbiDifZrstX2WulJyXe4TrorNOpSjSMeiUu/WeS5/Rib7f4GU19OJsLVCKIJ2TVnoCE9HCEF6I7lPeXS70uLliqokq2gc7cjmCJ+zJdo1Ay9ONpg9x5SDYrbvWx71oZ3ZUrLxvpnRuFUhKpiPfiNq6oyaZlZZZMB1pRZXa2ZLRt2r3ks3QW8qlmmOrXqWwAuMtoYi6Taaslqcya1taCLuWubZLvrWBPqlFi/yYiLnOF0zE7atuq/j6i+pUkWOr/myUhfG8Zb9/BF7NLzwH7X18HrIOoq0zQmR1BVuetOpY0nhueZfMbzGSrOdOpPiCxa8vlVp+/e1tl68bozD6mMto7Tp8tSZJvMWBcAq0+ukKsV1eVExtlacTP3jVF2iY50pWZ1tqHZTszeT13Rm1bcsFNXYnzTxmY79YMc936O/YDrQXPsdiuDz9GotFQ6GiLQhWLE29jpVgvJdzIVvXaJO/QoSY/YcEiidmJgg6SZqAw2FtrpjEQyrWOAhKZMNFcIOeC5VwW6bo00Jh9gDBlTZIz3rs5Z7DZtNeS6oq39BxUhqAGro/uOlq05nkGRUtsmqrpFti1HoFerXs8d6bTBe2Ga+I59YnKfHCbhjZyxbkWRTNSecigza3jcRgFX3e/EjKvt/3wy0TFagUszVtDFykOzRXxMVq3ZWjgp2ed2nZhm2hVIRdgkVcbB11DNvFJ1jo/adu+2PszZdydAX1dxIknLxmL+Hr7Sq5XlBmbRNR2SjzPH5gP6Kt1gwcyytbzz/IHWdsJQr+wU5/zjN+xuYxLPngfRkNX102J7u62daumJ9A/s7xoEAWenVJeNahtt9cBPKGqnxNQIOSu6UtMrWmjXhN30jez31ZxS6kvGdrIT5XV+t0eB6ont1NeJzXbqB2Fwyv/Qfx90I/iQj/G4qCN2VqG+qKL97j4YCrETzbarN1lSBhrl9hlBGbPwi5q+h0urmsOmp1vu2i5IgxXRDhyjH6PNyWp/AghmSCvGPvEdIWqVglF4pTMGiUyhWjTW5d1DAOpKjPk2L56S/nvU2rjlXR/R+O4U64kZRUwD5kzwsKU1bnok/fDmFR3HO3ba89x1VSK+4vnAgc/NYWbNTqX8sPBTqi2WLmLMlSYL7Aq6bK0Rx+UZ9eld0+QHY/KAjyVZcRB2Q2DedgwcEUsmJ79ht5EYzt6hZ55dYdLsiHhwJP7ywimdsSv2YjCLxClp7hITuwmdN3YDy5AWrfd31W5ti980SLb7Hsb/NVtjkE5QLUuvHurJ8a5wyk9K6oqWXeWzWNFdumOXetZw7YO5hXPqlnaWkMs16Zo56qjFyAtfu4o33Ia8lclLK2DSZBuMfLtRg+PmrsnICGkndYVm7W0WW5+9fxKJUk4sUbpOiI5cwEZELgEX1z2OE8I54L11D+KEUGwZJzbFluPY8RlVvfO4Hygiv/DPPQzeU9VHjvtZNxNTcOp/PgzJfwootowTxZbxYVPsWAf28joKCgoKCiaM4tQLCgoKNghTcOrXFcmZKIot40SxZXzYFDtuOUYfUy8oKCgoODymsFMvKCgoKDgkilMvKCgo2CCM1qmLyCMiclFE3hCRpz7+/1g/ROQtEXlZRF4IAX0ROSsiz4vI6/58xq+LiHzf7XtJRC6seezPisi7IvLK4NqRxy4iT/r7XxeRJ0dkyzMi8rbPzQsi8tjgb992Wy6KyMOD62tfgyLyaRH5rYj8VUReFZFv+vXJzc0BtkxybkYLVR3dAyuy/xtwNzAHXgTuXfe4DjHut4Bze659F3jKXz8FfMdfPwb8HKuPvB/4w5rH/iBwAXjluGMHzgJv+vMZf31mJLY8A3zrOu+919fXArjL1101ljUInAcu+OvTwGs+5snNzQG2THJuxvoY6079PuANVX1TVXeB57AeflPE41gvQvz5C4PrP1bD74FPuGj+WqCqvwP29ow96tgfBp5X1X+p6r+B54FbXnW3jy374XHgOVW9pqp/x6RP72Mka1BV/6HeVV5VLwHDXpeTmpsDbNkPo56bsWKsTn2/fn1jhwK/EpG/iMjX/NpRexKOCUcd+9ht+oaHJJ6NcAUTsuUGe12Oyp49tsDE52ZMGKtTnyoeUNULwKPA10XkweEf1c6Uk+SQTnnsjh8CnwU+hzXz/d56h3M0yJ5el8O/TW1urmPLpOdmbBirUz+xfn23Eqr6tj+/C/wMOya+E2EVuUk9CW8ijjr20dqkqu+oaquqGfgRNjcwAVvkgF6X/vd/q4xqAAABKElEQVTJzM31bJny3IwRY3XqfwLuEZG7RGQOPIH18BstRGRbRE7Ha+Ah4BX6noTw0Z6EX3K2wv3cQE/Cm4ijjv2XwEMicsaP0A/5tbVjT77ii9jcgNnyhIgsROQu4B7gj4xkDYp8bK9LmMjc7GfLVOdmtFh3pna/B5bFfw3Lcj+97vEcYrx3Y1n4F4FXY8zAHcBvgNeBXwNn/boAP3D7XgY+v+bx/xQ7+q6wGOVXjzN24CtYQusN4MsjsuUnPtaXMAdwfvD+p92Wi8CjY1qDwANYaOUl4AV/PDbFuTnAlknOzVgfRSagoKCgYIMw1vBLQUFBQcExUJx6QUFBwQahOPWCgoKCDUJx6gUFBQUbhOLUCwoKCjYIxakXFBQUbBCKUy8oKCjYIPwPbuHRBlMfhF4AAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We can now do the same for our temperature raster (MAAT grid)."
      ],
      "metadata": {
        "id": "AmNYWZi8vfn6"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Reading .tif file for MAAT and converting into an array\n",
        "\n",
        "grid_maat = Image.open('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/input_permafrost/MAAT_degreeC_90m_downscaled_from_1000m_utm44n.tif')\n",
        "array_maat = np.array(grid_maat)\n",
        "plt.imshow(array_maat) \n",
        "plt.colorbar()\n",
        "plt.show()\n",
        "\n",
        "#Converting the array into a single column\n",
        "b_maat = array_maat.ravel()"
      ],
      "metadata": {
        "id": "37TebRoAvdM8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "outputId": "eb65aaee-ea04-4499-a6ea-5d7339f70052"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Since PISR and MAAT grids are of the same extent, single column arrays of PISR and MAAT are of the same length  and as we need both arrays as predictors, we now stack them with the ***.column_stack*** command to arrange them exactly as they are arranged in our training data and test data. \n",
        "\n",
        "After stacking, we need to apply ***.fit_transform*** command in ***StandardScaler*** function of ***sklearn.preprocessing*** package to perform  standardization of the data set of predictor variables.\n",
        "We perform this data standardization because we have trained our logistic regression classifier using standardized training data set and this classifier only performs well if our data set of predictor variables is also standardized."
      ],
      "metadata": {
        "id": "1t1tw_m91Tlr"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Stacking the two columns for MAAT and PISR\n",
        "stack_grids = np.column_stack((b_maat,b_pisr))\n",
        "sc_stack_grids = sc_X.fit_transform(stack_grids)"
      ],
      "metadata": {
        "id": "dzgaLhn6vrXy"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Predict over the entire raster"
      ],
      "metadata": {
        "id": "M-gWglrohmCF"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now, we predict permafrost probability using stacked and standardized columns of predictor variables and ***.predict*** command. This command uses the trained classifier and predicts permafrost presence or permafrost absence for each set of predictor variables. We obtain output as an array of inetegers 1 and 0 indicating permafrost presence and permafrost absence respectively."
      ],
      "metadata": {
        "id": "aP8AxjZo6udm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Predicting the probability of permafrost (as 0 and 1) based on MAAT and PISR grids\n",
        "y_pred_0_1 = classifier.predict(sc_stack_grids)"
      ],
      "metadata": {
        "id": "rAH3TqpkvwWI"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "As we are interested in obtaining probability values between 0 and 1, we now predict permafrost probability using stacked and standardized columns of predictor variables and ***.predict_proba*** command. This command uses the trained classifier and predicts probability of permafrost presence as well as permafrost absence for each set of predictor variables. We obtain output as an array of real numbers between 0 and 1 in two columns. The first column indicates the probability of permafrost absence and the second column indicates the probability of permafrost presence. We separate the two columns into two separate arrays ***probability_no*** and ***probability_yes*** containing probability values for permafrost absence and permafrost presence respectively. "
      ],
      "metadata": {
        "id": "mrdNJmQK-CAA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Predicting the probability of permafrost (as values between 0 and 1) based on MAAT and PISR grids\n",
        "y_pred_probability = classifier.predict_proba(sc_stack_grids)\n",
        "probability_no = y_pred_probability[:,0]\n",
        "probability_yes = y_pred_probability[:,1] \n"
      ],
      "metadata": {
        "id": "oMnaOF8fv7dW"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now, we use ***.reshape*** command to give the arrays **probability_no** and **probability_yes** the same shape as our predictor grids MAAT (**array_maat**) and PISR (**array_pisr**)."
      ],
      "metadata": {
        "id": "yGMYz1ymCu01"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Reshaping the probability values for permafrost absence and permafrost presence\n",
        "probability_no_reshape = np.reshape(probability_no,(2133,2620))\n",
        "probability_yes_reshape = np.reshape(probability_yes,(2133,2620)) "
      ],
      "metadata": {
        "id": "kHfkF3KhvzAR"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Export permafrost probability distribution map"
      ],
      "metadata": {
        "id": "F_1S4cFPhzgn"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "After having reshaped the arrays **probability_no** and  **probability_yes** into the same size as our arrays of predictor grids, we now want to store these reshaped arrays **probability_no_reshape** and **probability_yes_reshape** as ***.tif*** files for post processing in software like ArcMap or QGis or statistical analysis in standalone python or R scripts. We save the data to our Google Drive with the ***.save*** command.  "
      ],
      "metadata": {
        "id": "Gc-w9Sqm2vvK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Convert to PIL Image and save\n",
        "Image.fromarray(probability_no_reshape).save('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/output_permafrost/Probability_permafrost_absence_georeference_no.tif')  \n",
        "Image.fromarray(probability_yes_reshape).save('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/output_permafrost/Probability_permafrost_presence_georeference_no.tif')                                              \n"
      ],
      "metadata": {
        "id": "iAJ1LDRMwLPi"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "However, the data we have produced so far is not georeferenced yet. That means it basically just exists as a matrix with associated column and row numbers but no coordinates. We can use our climate data, which is georeferenced, to do that now.\n",
        "\n",
        "Before we visualize data, we convert it to an array again and then plot by first initializing the figure (***plt.figure***), then plotting the data (***plt.imshow***) and finally showing the plot (***plt.show***).\n",
        "\n",
        "As you can see, there are no coordinates associated to the data. Colours indicate permafrost probability values, bright yellow areas indicate high probability for permafrost occurrence while dark blue areas indicate low probability for permafrost occurrence."
      ],
      "metadata": {
        "id": "dBQ6s7Qr4s7i"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Importing georeferenced and non-georeferenced data set\n",
        "\n",
        "ds = gdal.Open(\"/content/drive/MyDrive/ICIMOD_permafrost_training_2022/input_permafrost/MAAT_degreeC_90m_downscaled_from_1000m_utm44n.tif\")\n",
        "gt = ds.GetGeoTransform()\n",
        "proj = ds.GetProjection()\n",
        "\n",
        "im_permafrost_presence = Image.open('/content/drive/MyDrive/ICIMOD_permafrost_training_2022/output_permafrost/Probability_permafrost_presence_georeference_no.tif')\n",
        "array_PP_yes = np.array(im_permafrost_presence)\n",
        "\n",
        "plt.figure()\n",
        "plt.imshow(array_PP_yes)\n",
        "plt.colorbar()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "id": "D1YZnWe7wb9D",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "outputId": "e14edf9e-c493-4910-a093-79eb16e7cfa4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The very last step is actually georeferencing the final permafrost probability grid. We get the projection via ***gt*** and ***proj*** from the climate data as retrieved in the previous step.\n",
        "\n",
        "The data is then saved to your Drive via ***driver.Create*** from where you can subsequently download it and open it in post-processing software."
      ],
      "metadata": {
        "id": "nbP4qCUp6FLq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Georeferencing and exporting the permafrost probability distribution grid\n",
        "driver = gdal.GetDriverByName(\"GTiff\")\n",
        "driver.Register()\n",
        "outds = driver.Create(\"/content/drive/MyDrive/ICIMOD_permafrost_training_2022/output_permafrost/Probability_permafrost_presence_georeferenced_90m_utm44n.tif\", xsize = array_PP_yes.shape[1],\n",
        "                      ysize = array_PP_yes.shape[0], bands = 1, \n",
        "                      eType = gdal.GDT_Float32)\n",
        "outds.SetGeoTransform(gt)\n",
        "outds.SetProjection(proj)\n",
        "outband = outds.GetRasterBand(1)\n",
        "outband.WriteArray(array_PP_yes)\n",
        "outband.SetNoDataValue(np.nan)\n",
        "outband.FlushCache()\n",
        "\n",
        "# Closing data set and bands\n",
        "\n",
        "outband = None\n",
        "outds = None"
      ],
      "metadata": {
        "id": "Jm3ebiOsw-PV"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Assignments:\n",
        "\n",
        "- Convert the georeferenced probability map to KML/KMZ using any GIS software and explore it in google earth.\n",
        "- Discuss the map in a group of 3-4 participants. Where does the map show high probability and low probability of permafrost occurrence and why?"
      ],
      "metadata": {
        "id": "v_rbbGphB4Yc"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        ": <h1 align='center'>**THANK YOU**</h1>"
      ],
      "metadata": {
        "id": "dqRrk_2XIWTi"
      }
    }
  ]
}