kap5.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.2"
    },
    "colab": {
      "name": "kap5.ipynb",
      "provenance": [],
      "include_colab_link": true
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/DJCordhose/buch-machine-learning-notebooks/blob/master/kap5.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ncGMi7XXo-8g"
      },
      "source": [
        "# Kapitel 5: Featureauswahl"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tum7pL55o-8h"
      },
      "source": [
        "import warnings\n",
        "warnings.filterwarnings('ignore')"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qPUJu4mOo-8k",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8d1a5de4-5ee7-488e-e1d6-a69c675f758d"
      },
      "source": [
        "%matplotlib inline\n",
        "%pylab inline"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Populating the interactive namespace from numpy and matplotlib\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iQF9mgcYo-8q",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8aec9986-38e7-474b-ee63-f6637d03a402"
      },
      "source": [
        "import sklearn\n",
        "print(sklearn.__version__)"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1.2.2\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DfcQU94uo-8u"
      },
      "source": [
        "import numpy as np"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cjffiT9Po-8x"
      },
      "source": [
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p5HliKB5o-8z"
      },
      "source": [
        "## Fluch der hohen Dimensionen"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HNaFi456o-8z"
      },
      "source": [
        "n = 100\n",
        "vmin = 0; vmax = 10\n",
        "x1 =  np.random.uniform(vmin, vmax, n)\n",
        "x2 =  np.random.uniform(vmin, vmax, n)\n",
        "x3 =  np.random.uniform(vmin, vmax, n)"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gvuboZwlo-82"
      },
      "source": [
        "# plt.hist?"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VkIb2Y-Go-84",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "9d4180d3-eab6-41a2-bb9e-7d23346afb1d"
      },
      "source": [
        "# Eine Dimension\n",
        "\n",
        "fig = plt.figure(figsize=(16, 11))\n",
        "ax = fig.add_subplot(111)\n",
        "\n",
        "ax.hist(x1, alpha=0.6, edgecolor='black', lw=1, bins=np.arange(0, 11, 1))\n",
        "\n",
        "ax.set_xlabel('X1')\n",
        "ax.set_ylabel('n samples')\n",
        "\n",
        "# fig.savefig('ML_0512.png', bbox_inches='tight')\n",
        "plt.show()"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eUKEnZPfo-86",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "6508ad50-b428-4ad5-cb93-45e8a9f84bea"
      },
      "source": [
        "# Zwei Dimensionen\n",
        "\n",
        "fig = plt.figure(figsize=(16, 11))\n",
        "ax = fig.add_subplot(111)\n",
        "\n",
        "ax.scatter(x1, x2, c=\"b\", marker=\"o\")\n",
        "\n",
        "ax.set_xlabel('X1')\n",
        "ax.set_ylabel('X2')\n",
        "ax.set_xticks(np.arange(0, 11, 1) )\n",
        "ax.set_yticks(np.arange(0, 11, 1) )\n",
        "ax.grid(color='k', linestyle='-', linewidth=1, alpha=0.6)\n",
        "\n",
        "# fig.savefig('ML_0513.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1100 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wmk2Mw5Uo-88",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 884
        },
        "outputId": "e7fe1522-475a-4f4c-98c8-c096567e06e9"
      },
      "source": [
        "# Drei Dimensionen\n",
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "fig = plt.figure(figsize=(16, 11))\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "\n",
        "ax.scatter(x1, x2, x3, c=\"b\", marker=\"o\")\n",
        "\n",
        "# ax.plot_wireframe((3,4,4,3,3, 3,4,4,3,3, 3,3,4,4,4,4),\n",
        "#                   (5,5,6,6,5, 5,5,6,6,5, 6,6,6,6,5,5),\n",
        "#                   (2,2,2,2,2, 3,3,3,3,3, 3,2,2,3,3,2),\n",
        "#                   color='r', rstride=1, cstride=1, alpha=0.9)\n",
        "\n",
        "ax.set_xticks(np.arange(0, 11, 1) )\n",
        "ax.set_yticks(np.arange(0, 11, 1) )\n",
        "ax.set_zticks(np.arange(0, 11, 1) )\n",
        "ax.grid(color='k', linestyle='-', linewidth=1, alpha=0.6)\n",
        "ax.set_xlabel('X1')\n",
        "ax.set_ylabel('X2')\n",
        "ax.set_zlabel('X3')\n",
        "\n",
        "# fig.savefig('ML_0514.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oJ0D3ChGo-8_"
      },
      "source": [
        "## Overfitting und Underfitting: Model-Komplexität vs Datenmenge"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6rBG3mrWo-8_"
      },
      "source": [
        "np.random.RandomState(1)\n",
        "\n",
        "n_samples = 20\n",
        "X = np.random.uniform(-2, 2, n_samples)\n",
        "y = X**3 + np.random.uniform(0, 2, n_samples)"
      ],
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "If_D49vDo-9D",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 945
        },
        "outputId": "5a9f2dde-c220-44d0-a14a-bc6a50245a9d"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "\n",
        "print(X.shape, y.shape)\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o')\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0504.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(20,) (20,)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cVljjox3o-9F",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "cc227dbb-8845-4ad9-f766-067359e5a266"
      },
      "source": [
        "from sklearn.pipeline import make_pipeline\n",
        "from sklearn.linear_model import Ridge, LinearRegression\n",
        "from sklearn.preprocessing import PolynomialFeatures\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o')\n",
        "\n",
        "x_plot = np.linspace(-2, 2, 100)\n",
        "poly_model = make_pipeline(PolynomialFeatures(3),\n",
        "                           LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-12, 12)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0505.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qx9d0Lg1o-9H",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "46be9502-11d9-4607-b7d2-7dd2bcbe3ff8"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o')\n",
        "\n",
        "\n",
        "poly_model = make_pipeline(PolynomialFeatures(1),\n",
        "                           LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-9, 9)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0507.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m9gyCATFo-9J",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 932
        },
        "outputId": "b13af9fa-82c9-4a8f-c850-7616de8e977f"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o')\n",
        "\n",
        "poly_model = make_pipeline(PolynomialFeatures(20), LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-10, 10)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0506.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2VeSYK7qo-9K"
      },
      "source": [
        "### Mehr Datensätze"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T6d_sBJTo-9L"
      },
      "source": [
        "n_samples = 200\n",
        "X = np.random.uniform(-2, 2, n_samples)\n",
        "y = X**3 + np.random.uniform(0, 2, n_samples)"
      ],
      "execution_count": 16,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tnEhZ8qIo-9O",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 467
        },
        "outputId": "c8be7832-ac30-4793-a4f2-d0d1eff110fd"
      },
      "source": [
        "print(X.shape, y.shape)\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o', label=\"training points\")\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0508.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(200,) (200,)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d9sBpbCpo-9R",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "b31b6e47-9127-493a-9764-b7d6f9cba0cc"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o', label=\"training points\")\n",
        "\n",
        "poly_model = make_pipeline(PolynomialFeatures(3),\n",
        "                           LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-12, 12)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0509.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dvzRCcsCo-9T",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 932
        },
        "outputId": "3275eaf1-727b-4cb4-d768-022dcd7a7937"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o', label=\"training points\")\n",
        "\n",
        "poly_model = make_pipeline(PolynomialFeatures(20),\n",
        "                           LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-8, 8)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0510.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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QUb57Pjx4/HyfS7FYXB0dEQUCYXm9cwibOUDQBAAAAFBR3rrmgcHjl7T64HEsFldbW5eCwRYryiorBE0AAAAAFWXy669IkmKSWuQZdl8sFlco1GpBVeWFoAkAAACgYKLRPjU3h+XxBOVwzC782sj2dm2yeIEk6R2tom80ecRDOjt7ClNLGZtgdQEAAAAAKkM02ievd47a2roUi8UlaXBt5Ny58xUOz5DTWZXfIm68UQ6Za9+vjZM+xOWqzm8NFYARTQAAAAAFEQy2DAuZAwq2NnLxYumGGyRJS2TXjWoY8RC73Safb+TtyAxBEwAAAEBBhEKtI0LmgIKsjXzsMenTTyVJL9ZOU5e9dtjddrtN9fV18vsb81tHBSBoAgAAACiIsdY+5n1t5LXXDh423nqOAgGv3O4a2e02ud01CgS8hZm+WwFs8Xg8+UcKZSgSiai2tlbd3d2qqamxuhwAAACgong8QXV0RFLe73bXqL3dn5+Lf/ihtN565njttaUPPpDsjLtlIpM8VVJ/swsWLNAhhxyiFVdcUZMnT9Zmm22mf/3rX1aXBQAAACANPl+D7HZb0vvyvjYyFEocH3UUITPPSuZv9+uvv9bWW2+tiRMn6sknn9S///1vXXrppVp++eWtLg0AAABAGvz+RtXX140Im3lfG9nbK918szmeOFE64oj8XAeDSmZ7kwsvvFAej0e33HLL4G1rrbWWhRUBAAAAyITTWaVweIaCwRaFQq3q7OyRy1Utn69Bfn9j/tZGPvCA9OWX5vjXv5ZWXjk/18GgklmjufHGG2uXXXZRR0eHwuGwpk6dqt///veaOXNmyuf09vaqt7d38DwSicjj8bBGEwAAAKgk224r/f3v5jgcNufIWFmu0fzoo4907bXXar311tPTTz+tY445Rscdd5xuvfXWlM85//zzVVtbO/jl8XgKWDEAAAAAy73zTiJkbrSR9LOfWVtPhSiZEc2qqiptueWW+uc//zl423HHHafXXntNLS3JN3ZlRBMAAACocMcdJ115pTm+/HJzjnEpyxHN1VZbTRtvvPGw2zbaaCN98sknKZ8zadIk1dTUDPsCAAAAYI1otE/NzWF5PEE5HLPl8QTV3BxWNNqXnwsuWiT95S/mePJk6dBD83MdjFAyzYC23nprzZ8/f9ht77//vtZYYw2LKgIAAACQrmi0T17vHLW1dSkWM5MqOzoiCgTCmjt3vsLhGblvBnTPPVJ3tzk+4ACJHSsKpmRGNP1+v15++WWdd955+vDDD3XnnXcqFApp1qxZVpcGAAAAYAzBYMuwkDkgFourra1LwWDy5XBZue66xPExx+T+9ZFSyazRlKTHHntMp512mj744AOttdZaOvHEE0ftOru0TOYUAwAAAMgdjyeojo5Iyvvd7hq1t/tzd8HXX5e23NIcNzRI//qXZLON/hyMKpM8VTJTZyVpjz320B577GF1GQAAAAAy1NnZk9X9Gbv++sTx0UcTMgusZKbOAgAAAChdLld1VvdnpLtb8TvvlCT12Cap5qj/5r/xEIYhaAIAAADIO5+vQXZ78lFFu90mn68hZ9f6/uZbZVu0SJL0l/g09cSrBhsPeb1zCJsFQNAEAAAAkHd+f6Pq6+tGhE273ab6+jr5/Y25udATT8h26qmDp9dr+uBxXhsPYRiCJgAAAIC8czqrFA7PUCDgldtdI7vdJre7RoGAN3dbm1x1lbTnnprU950k6RGtr3mqG/aQWCyuUKg1+2thVCXVdTZbdJ0FAAAAylB/v+T3S1deOXjTfdpYh2tvfaeRAdZut6m//8xCVlgWyrbrLAAAAAAM09MjHXig9PjjgzddVb2DjuvZRvEUEzhz2ngISRE0AQAAABS1aLRPwWCLQqFWdXb2yOWqls/XoBP3c2vZ3+wrvfWWeeCECVIopK871pYtEFY8NnLyZq4bDyE5ps4CAAAAKFrRaJ+83jlqa+tSbEhw/JGtU0847tZKSyLmhuWWkx58UNp++5TPGWg8lLM1oRWGqbMAAAAAcibViKLf35ifwPbFF9K8edKCBfrHHS9rn9Z5OlLfaqUhX+vFv9QyS/rN49dZx0yd3WADSYnGQwWtGcMwogkAAAAgpbyODsZi0n/+I735ptTWZr7efFPq6Ej7JV6tWks/XvCqtNJK46sBaWNEEwAAAEBOBIMtI0KmNHxPyqYmb2Yv+vnn0qxZ0hNPSIsWZVzTd5qgzzVF92tjnbH45/qOkFl0CJoAAAAAUgqFWkeEzAEDe1JmFDQ//FDabTfz32Rqa6XNN5fq66V11tGxZ7+m97+SvtCUwa+hW5a4pzJTsRgRNAEAAACk1NnZk9X9w7S0SHvuKX35pTlfYQVp221NqKyvNwFzjTUkm23wKat2h3VtIJw07NJBtngRNAEAAACk5HJVq6MjMur9aXngAemQQ6Tvvzfnm25qps56PKM+ze9v1Ny581OuEfX7G9O7Pgoq+Q6mAAAAACDJ52uQ3W5Lel/aI4p//rO0336JkLnjjtJLL40ZMqVEB9lAwCu3u0Z2u01ud40CAS/blBQxus4CAAAASCmrrrP9/dJJJ0mXX5647fDDpVBIqiIglppM8hQjmgAAAABSGveI4rffmlHMoSHzrLOkW27JeciMRvvU3ByWxxOUwzFbHk9Qzc1hRaN9Ob0O0seIJgAAAIDcWrzYTI/9+9/N+YQJZhTziCNyfqm87vOJYRjRBAAAAGCda69NhMzqaunxx/MSMqX09vlE4RE0AQAAAOTOl19KgUDi/MknpZ13ztvl0tnnE4VH0AQAAACQO2edJX39tTk+/HBp663zermc7vOJnCFoAgAAABhV2s123n7bTJuVpGWXlc47L++1jbWPZ9r7fCKnCJoAAAAAUhpothMIhNXREVEsFldHR0SBQFhe75xE2IzHJb9fisXM+emnSy5X3uvLyT6fyDmCJgAAAICU0m628+ij0nPPmeM115ROPLEg9fn9jaqvrxsRNge6zvr9jQWpA8MRNAEAAACklFaznd7e4cHykkukZZYpSH3j3ucTecU+mgAAAABScjhmpwyakhk57L9gsnTyyeYGr1d64QXJlnw6ayai0T4Fgy0KhVrV2dkjl6taPl+D/P5GAqQFMslTBE0AAAAAKXk8QXV0RFLeX7+aTW9EL5F6eky4bG2V6uuzvu7A2tClp+0OTIlltLLwMslTTJ0FAAAAkNJYzXZuXu0VEzIl6cgjcxIypQzWhqIoETQBAAAApDRas50D1u9T/RtPmhtqaqRzzsnZddNaG4qiRdAEAAAAkFLKZjtnbau/LP832QZW4p15prTKKjm7bmdnT1b3w1qs0QQAAACQuXvvlX7zG3O83nrS229LVblbMznW2tCamirV1CxDk6ACYo0mAAAAgPzp75dOPTVxfumlOQ2Z0uhrQyWpp6dPHR0RxWJxdXREFAiE5fXOUTTal9M6MD4ETQAAAACZeeIJ6eOPzfEOO0h77JHzS6RaGzqwa8rS8zJpElRcCJoAAAAAMnPttYljvz8ne2YuLdXa0OrqSSmfQ5Og4sEaTQAAAADp+/hjaZ11pHhcsdXX0Hm/vVnX3/hmwdZKOhyzU3ajlUw33P7+M/Ny7UrHGk0AAAAA+XH99YPzVq9ZUq+zZr9U0LWSLld1VvejMAiaAAAAANLT2yvddJMkqd8xQed+uv6I0cV8r5UcrUmQ3W6Tz9eQl+siMwRNAAAAAOl54AHpiy8kSY9Xbaqu+LJJH5bPtZKpmgTZ7TbV19fJ72/My3WRGYImAAAAgPQMaQIU/H6LUR/a2dmTlxJSNQkKBLwKh2ewj2aRoBkQAAAAgLHNmydNm2aON95Ynu7fqWNB6jDpdteovd1foOJQCDQDAgAAAJBb112XOD76aPmOms5aSaRE0AQAAAAwumhUuu02czxlinTYYayVxKgImgAAAABGd8cdUs8P02QPOkiqrWWtJEbFGk0AAAAAqcXj0hZbSG++ac5ff11qYFpsJWKNJgAAAIDcePnlRMj88Y8JmUgLQRMAAABAakO2NNExx1hXB0oKQRMAAABAcl9+Kd17rzlefnnpN7+xth6UDIImAAAAUGai0T41N4fl8QTlcMyWxxNUc3NY0WhfZi90yy1Sb685njFDmjw557WiPNEMCAAAACgj0WifvN45amvrUiyWeKs/sO1I2h1hYzFp/fWl//zHnM+fb85RsWgGBAAAAFSoYLBlRMiUpFgsrra2LgWDLem90HPPJULmjjsSMpERgiYAAABQBgamy559dnhEyBwQi8UVCrWm94LXX584pgkQMjTB6gIAAAAAZCfVdNlkOjt7xn7Br76SHn3UHNfVSb/8ZQ6qRCVhRBMAAAAocammyybjclWP/YL33SctXmyODzpImjgxywpRaQiaAAAAQIkLhVrTCpl2u00+X8PYL3j77YnjQw7JojJUKoImAAAAUOLSmQ470HXW728c/YEffyy99JI53nhjqb4++wJRcQiaAAAAQIkbazqsw2FTIOBNb2uTO+9MHB9yiGSz5aBCVBqCJgAAAFDifL4G2e3JA6HdbtNZZ3nV1OQdO2TG48OnzR50UA6rRCUhaAIAAAAlzu9vVH193YiwmfZ02QGtrdJ775njbbeV1lgjx5WiUhA0AQAAgBLndFYpHJ6hQMArt7tGdrtNbndN+tNlB9AECDlii8fjY7enKhORSES1tbXq7u5WTU2N1eUAAAAAxWPJEsntlhYulKqqpK4uafnlra4KRSSTPMWIJgAAAADp+edNyJSkPfYgZCIrBE0AAAAA0h13JI4PPti6OlAWCJoAAABApVu0SHrwQXO83HLS7rtbWg5KH0ETAAAAqHQPP2zCpiTtt5+0zDLW1oOSR9AEAAAAKh3dZpFjBE0AAACgki1cKD3zjDlefXVpm22srQdlgaAJAAAAVLJ77pH6+83xwQdLdiICssdPEQAAAFDJmDaLPCBoAgAAAJVq/nzptdfM8RZbSBtvbG09KBsETQAAAKBSDd07k9FM5BBBEwAAAKhE8Xhi2qzdLh1wgLX1oKwQNAEAAIBK1NIiffyxOd5xR8nlsrYelBWCJgAAAFCJaAKEPCJoAgAAAJWmt1e6+25zPHmytM8+1taDskPQBAAAACrNE09IX39tjvfZR6qutrYelB2CJgAAAFBpbrstcXzoodbVgbJF0AQAAAAqyZdfSo89Zo7r6qSddhq8KxrtU3NzWB5PUA7HbHk8QTU3hxWN9llULErVBKsLAAAAAFBA994rLV5sjg86SJpgIkE02ievd47a2roUi8UlSR0dEQUCYc2dO1/h8Aw5nVVWVY0Sw4gmAAAAUElSTJsNBluGhcwBsVhcbW1dCgZbClUhygBBEwAAAKgUH3xg9s+UpM02kzbffPCuUKh1RMgcEIvFFQq1FqJClAmCJgAAAFAphu6deeihks02eNrZ2TPqU8e6HxiKoAkAAABUgng8MW3WZjPrM4dwuUbf4mSs+4GhCJoAAABAJfjHP6SPPzbHO+0kTZ067G6fr0F2uy3JEyW73SafryHfFaKMEDQBAACASjDG3pl+f6Pq6+tGhE273ab6+jr5/Y35rhBlhKAJAAAAlLvvvzfbmkjSlCnSPvuMeIjTWaVweIYCAa/c7hrZ7Ta53TUKBLxsbYKMsY8mAAAAUO4ee0z65htz/KtfSU5n0oc5nVVqavKqqclbuNpQlhjRBAAAAMrdGNNmgVwjaAIAAADl7IsvpCeeMMcul7TDDtbWg4pA0AQAAADK2d13S0uWmOODD5YcDmvrQUUgaAIAAADljGmzsABBEwAAAChX8+dLr75qjjffXNpsM2vrQcUgaAIAAADlauho5mGHWVcHKg5BEwAAAChHsZh0++3m2G6XDjzQ2npQUQiaAAAAQBmJRvvU3BzWr+uOk/73P0nSh2tPV7R6RYsrQyWZYHUBAAAAAHIjGu2T1ztHbW1d+kvsxcHbz/7P6vq3d47C4RlyOqssrBCVomRHNC+44ALZbDadcMIJVpcCAAAAFIVgsEVtbV1aKdaj/fSOJOkLTdZ98Q3V1talYLDF4gpRKUoyaL722mu6/vrrNW3aNKtLAQAAAIpGKNSqWCyuI9WqKsUkSTepQb2aqFgsrlCo1eIKUSlKLmhGo1EdfPDBuuGGG7T88suP+tje3l5FIpFhXwAAAEC56uzskUP9Olr/kiTFJF2nLYfdDxRCyQXNWbNm6Re/+IV22mmnMR97/vnnq7a2dvDL4/EUoEIAAADAGi5XtfbU+/LIDLA8rvX1Xy0/7H6gEEoqaN59991qbW3V+eefn9bjTzvtNHV3dw9+tbe357lCAAAAwDo+X4Nm6bXB86v1o8Fju90mn6/BirJQgUqm62x7e7uOP/54Pfvss1pmmWXSes6kSZM0adKkPFcGAAAAFIcTd19ey575kSTpQy2vZ7SOJBMy6+vr5Pc3WlkeKkjJBM3XX39dn332mRoaEp/C9Pf368UXX9RVV12l3t5eORwOCysEAAAArLXsrTcOHt9V+zPZehya6qqWz9cgv7+RrU1QMLZ4PB63uoh09PT06H8/bDg74IgjjtCGG26oU045RZtuuumYrxGJRFRbW6vu7m7V1NTkq1QAAACg8KJRaepUKRKRlllGWrBAWmEFq6tCGckkT5XMiGZ1dfWIMLnssstqxRVXTCtkAgAAAGXt9ttNyJSkgw4iZMJSJdUMCAAAAEAS8bh0zTWJ81mzrKsFUAmNaCbzt7/9zeoSAAAAAOu99JI0b545/ulPpQa6y8JajGgCAAAApe7qqxPHjGaiCBA0AQAAgFL26afSAw+Y45VXlvbbz9p6ABE0AQAAgNJ2ww3SkiXm+MgjJfaRRxEgaAIAAAB5Eo32qbk5LI8nKIdjtjyeoJqbw4pG+3JzgcWLpeuvN8d2u3T00bl5XSBLJd0MCAAAAChW0WifvN45amvrUixmtq7v6IgoEAhr7tz5CodnyOmsyu4iDz8sdXaa4z33lFZfPcuqgdxgRBMAAADIg2CwZVjIHBCLxdXW1qVgsCX7i9AECEWKoAkAAADkQSjUOiJkDojF4gqFWrO7wFtvSQPb/a2/vrTjjtm9HpBDBE0AAAAgDzo7e7K6f0xnnJE4njXLrNEEigQ/jQAAAEAeuFzVWd0/qpdekh57zBy73dLMmeN/LSAPCJoAAABAHvh8DbLbbUnvs9tt8vkaxvfC8bh06qmJ80BAmjx5fK81irx3zEVZs8Xj8eQTx8tQJBJRbW2turu7VVNTY3U5AAAAKGPJus5KJmTW19eNv+vs449Le+xhjjfcUJo3T5qQ280k8lY7SlomeYoRTQAAACAPnM4qhcMzFAh45XbXyG63ye2uUSDgHX9Qi8Wk005LnJ97bs5DplSgjrkoa4xoAgAAAENEo30KBlsUCrWqs7NHLle1fL4G+f2N1o/i3X67dOih5vjHP5ZeflmyJZ+emw2PJ6iOjkjK+93uGrW3+3N+XRS3TPIUQRMAAAD4QVFPGe3rkzbYQPrvf835X/8qbb99Xi7lcMxOuTWLZP4++vvPzMu1UbyYOgsAAACMQ7ZTRvPaQCcUSoTMnXfOW8iU8twxFxWBoAkAAAD8IBRqTTmSF4vFFQq1pnzuwGhoIBBWR0dEsVhcHR0RBQJheb1zsgub0ajU3Jw4P++88b9WGvLWMRcVg6AJAAAA/KCzs2fc9+e1gU4wKH32mTnef39p+vTxv1Ya/P5G1dfXjQibA1OI/f7GvF4fpY+gCQAAAPwgmymj2YyGjuqLL6SLLzbHDod0zjnje50M5KVjLipK7nshAwAAACXK52tQIBBOGhjHmjKazWjoqM4/X+r54blHHimtt974XidDTmeVmpq8amryFuR6KC+MaAIAAAA/yGbKaF4a6HzyiXT11eZ4mWWkM+n0itJA0AQAAAB+kM2U0bw00AkEpN5ec3z88ZLLlflrABZgH00AAAAgB3K+B+df/yrttJMUj0vLLSd99JG0/PK5LxxIE/toAgAAAAWW0wY6n30mHXywCZmS1NREyERJYUQTAAAAyLNotE/BYItCoVZ1dvbI5aqWz9cgv79xZACNxaTdd5eeftqc//zn0lNPSXbGiGCtTPIUQRMAAADIo4yn1F50kXTKKeZ41VWlN980/wUsxtRZAAAAoEgEgy0jQqZk9tZsa+tSMNiSuLGlRTr9dHNss0m3307IREkiaAIAAAB5FAq1Jt2XUzJhMxRqNSdffy0dcIDU32/OTz/dNAMCShBBEwAAAMijzs6ese+Px6Xf/c7smylJ22xjtjYBShRBEwAAAMgjl6t67Puvvlp66CFzwworSHfdJU2YUIDqgPwgaAIAAAB55PM1yG63Jb3PbrfpzD2rpZNOStw4Z47kdhemOCBPCJoAAABAHvn9jaqvrxsRNu12m7babDn97pkLpL6+gQdLe+5pQZVAbhE0AQAAgDxyOqsUDs9QIOCV210ju90mt7tGs5u21gtrvCD7f/5jHrjlltIFF1hbLJAj7KMJAAAAFNp330n77y899pg5r6mRWlulddZJ+vBotE/BYItCoVZ1dvbI5aqWz9cgv79x+B6cQB5lkqcImgAAACgpJR+6IhHpl7+UwmFzPmmSaQS0225JHx6N9snrnTNiL0673ab6+jqFwzNK48+NkpdJnmLqLAAAAErGQOgKBMLq6IgoFouroyOiQCAsr3eOotG+cb9uc3NYHk9QDsdseTxBNTeHx/16KX3xhbTDDomQ6XRKTz2VMmRKUjDYMiJkSmYPzra2LgWDLbmtEcgBgiYAAABKRj5CV77C6wgdHdK220qvv27OV1xReuEFabvtRn1aKNQ64s87IBaLKxRqzU19QA4RNAEAAFAy8hG6CjJi+MEH0jbbSO++a85dLunFF00DoDF0dvZkdT9gBYImAAAASkY+QlfeRwzffFP62c+k//3PnK+zjvSPf0gbb5zW012u6qzuB6xA0AQAAEDJyEfoyuuI4cDU2IULzflmm0kvvSStuWbaL+HzNYzYg3OA3W6Tz9cw/vqAPCFoAgAAoGTkI3TlZcTw+++lP/5R2nFH6ZtvJEntnk206Ze/kWNqKKNmQ35/o+rr60b8uQe6zvr9jZnXB+QZQRMAAAAlIx+hK+fhta1N+tGPpEsvlX7YSfCfNRtrk4699E7nkoybDTmdVQqHZygQ8MrtrpHdbpPbXaNAwMvWJiha7KMJAACAkpLrfTRztk9lf7908cXSmWdKixeb26qq9Oz2v9Nuz6yi/vjIMGu32xQIeNXU5M24bqDQMslTBE0AAABUvKzD60cfSYcdZpr8DNh8c+m22+TZ/Tl1dERSPtXtrlF7uz8HfwogvzLJUxMKVBMAAABQNFIFy3ffnZXZqGg8Lt18s3TCCVI0am6z2aSTT5bOPluaNEmdnQ+N+hJsT4JyRNAEAABARUk2VXZgzeTcufPTnyr73/9KRx8tPf104ra11pL+8hezZ+YPXK7qUUc02Z4E5YhmQAAAAKgowWDLiPWYktkzs62tS8Fgy+gv0N8vXX65tOmmw0Pm735n9swcEjIltidBZSJoAgAAoKKEQq0jQuaAWCyuUKg19ZPfeccEyRNOkBYtMrdNnSo98oh0441S9cjRSbYnQSUiaAIAAKCijLUmMun9fX1mzeUWW0gvv5y4/eijTfjcc8+Ur8f2JKhEdJ0FAABARfF4gpl1gX35ZenII02gHLD++tINN0jbbpvHSoHikkmeYkQTAAAAFSXtNZP9/VJzs7T11omQ6XBIp59u1mISMoGUCJoAAACoKGOtmZw5c7ouPWWuXlx2Y+nMM6VYTJLUv0WD9Prr0rnnSsssY0XpQMkgaAIAAKCijLZm8vHHD1LTtgEdeNFh2rb3fUlSv2xqsu2gRh2p6DobWVw9UBpYowkAAABIUiymv+58lLzP3ySHzFvkT+XUgfqVwlpLNpt0+unb6JxzdrS4UMAarNEEAAAAMvH559Luu2uH528cDJnPaS3V62iFtZYkKR6XLrron4pG+6ysFCgJBE0AAACUtGi0T83NYXk8QTkcs+XxBNXcHE4/EP7jH2bbkqefliTFJJ2l7bSLDtVncg576OLFMQWDLTn+EwDlh6mzAAAAyJlotE/BYItCoVZ1dvbI5aqWz9cgv78xL/tFRqN98nrnqK2tS7FY4m3tQGOfMfepvP9+6aCDpMWLJUmf2506ILav/qq1Uz5lxPYnQIVg6iwAAAAKbiD0BQJhdXREFIvF1dERUSAQltc7Jy9TToPBlhEhU5Jisbja2rpGH338y1+k3/xmMGRqu+10+0m3jhoyJamzsyfbsoGyR9AEAABATmQV+sYpFGodcb2h1w2FWpM/8frrpcMPH9y6REccIT37rGaeuYcmThz9LbLLVZ1NyUBFIGgCAAAgJ8Yd+rIw1uhi0vuDQenooxPnxx4r3XijNGGCnM4qnXLK1rLZRj5NMlNyfb6GLCoGKgNBEwAAADkxrtCXpbFGF4fdH49L55wjnXhi4raTT5auuEKyJ94Wn3LKNtpii9Vktw9PmwPrPv3+xpzUDpQzgiYAAAByIqPQlyM+X8OIQDhg2OhjPC6dfrrU1JR4wNlnSxdcoKWHL53OKoXDMxQIeOV218hut8ntrlEg4B27uRAASXSdBQAAQI40N4cVCISTTp+1220KBLxqavLm9JppdZ2dMkHy+83I5YCLL5b++Mec1pJuvYXsygvkUiZ5iqAJAACAnMh6q5EsrpsyvC07UTrmGNP8Z8DVV0u//33O60inTiv+foBcIWimQNAEAADIr6IbsTvvPOmMM8yx3S7ddJM0Y0bh65A1I75ALhE0UyBoAgAAVJD77pP23z9xfscd0kEHWVaOxxNUR0ck5f1ud43a2/0FrAjITCZ5imZAAAAAKD+vvioddlji/LzzLA2ZkjVdeQGrTLC6AAAAACCnPvlE+uUvpe+/N+eHHy6demrBy1h6GnGqvTkH5KMrL2AVgiYAAAAsk/M1nT090p57SgsXmvOf/cw0Ahor5eVYqsY/qQzbigUoAwRNAAAAWCJZGOvoiCgQCGvu3PmZd2Ht75cOPFB66y1zvs460oMPSpMm5aH60QWDLRmFzPr6Ovn9jQWoDCgM1mgCAADAEqnCWCwWV1tbl4LBlsxe8I9/lB5/3Bwvt5w5Xmml3BSboVCoddSQ6XDYZLfb5HbXKBDwsrUJyg4jmgAAAMirVNNjr7vu9ZRhLBaLKxRqTX+7j+uuk/78Z3M8YYL0wAPSBhtkVV82W7KM1dgnHpf6+88c12sDpYDtTQAAAJA3qdYq2u22MaeV2u229MLYc89Ju+5qps5K0g03SEcemXV99fV14x5pZCsTlCO2NwEAAEBRGG167FjS6sLa0SH95jeJkHnSSWmHzLHqG9f03R/4fA2y25M3IKLxDyoBQRMAAAB5M9ZaxVTSCmNLlpi9Mb/6ypzvsYd04YU5q29g+u54+P2Nqq+vGxE2afyDSkHQBAAAQN6MtVZR0vjDWHOz9Pe/m+PVV5f+8hfJ4chpfenUn4zTWaVweIYCAa/c7hoa/6DisEYTAACgzOWj2U26xlqr6HJV6+ijp2de2wsvSDvuaLrqOBzSiy9KW22V8/pYSwkksEYTAAAAkhLNbgKBsDo6IorF4oN7VXq9cxSN9uX1+mOtVTz66OlqavKqvd2v/v4z1d7uV1OTd/SQ+fnn0sEHm5ApmZHNcYTMdOpjLSUwPgRNAACAMpavZjfpyvlaxVhMOvxw6dNPzflOO0mnnFI89QGQRNAEAAAoGdFon5qbw/J4gnI4ZsvjCaq5OTzqqGS+mt2kK+drFYNB6cknzfEqq0i33SbZx/+WlrWUQH6wRhMAAKAEjHe/R4dj9qhdX9Peq7IYvPqqtPXWptusJD3zjPTzn1tbE1BBWKMJAABQYsYarRzvFNix9qJMa6/KYtDdLR1wQCJknnoqIRMoYgRNAAAAi6XTsGe8U2DLotlNPC75fNLHH5vzxkZp9mxrawIwKoImAACAxdIZrRzvfo/F3Owm7TWnN90k3XuvOV5uOemuu6SJEwteL4D0sUYTAADAYuns5Shp3Ps9WrmPZipprzn98ENp882lb781D3jgAWnffS2pGah0rNEEAAAoIemMVmYzBdbprMp8r8o8S2vN6ZIl0qGHJkLmUUcRMoESQdAEAACwWDoNe4p5Cux4pLXm9IILpJdfNjeuu6506aUFq288W8kASCBoAgAAWCyd0cpy2+9xrFHc1Ra8J519tjmx281+mcsuW4DK0mvOBGB0rNEEAACw2Hj3yCxlo61Lnaw+vTnhRq235DNzQ1NTQbvMNjeHFQiEk4642u02BQJeNTV5C1YPUCxYowkAAFBCym20Mh2jjeJeqOcTIXP6dBM0C2i8W8kASGBEEwAAAAWXahR3F9t/9FT8NnOyzDLSG29IG25Y0Nocjtkpg6ZkRjX7+88sYEVAcWBEEwAAAEUt2Sjupi6H7nU+mXjQxRcXPGRK6TVnAjA6giYAAAAsMWzblSVNmrfNPNX0fGHu3Hln6fe/t6SubLaSAWAQNAEAAAqA7TLGcOed0r33muPll5duvtl0m7VAqq1kJGnVVZfVzJnTLagKKC2s0QQAAMizSuwqm5FPPpGmTZO6u835PfdI++9vaUldXVE1NFyvTz+NDrvdZpO22GI1vmeoSKzRBAAAKCLBYMuIkCmZDqZtbV0KBlssqqwI9PdLhx2WCJkHH2x5yJSkG254XQsXLhpxezwuvmdAGkomaJ5//vn60Y9+pOrqaq2yyirae++9NX/+fKvLAgAUKaYpopiwXcYoLrpICofNsccjXXWVtfX8gO8ZkJ2SCZrhcFizZs3Syy+/rGeffVaLFy/WzjvvrEWLRn7SBACobAPTFAOBsDo6IorF4uroiCgQCMvrnUPYRMF1dvZkdX/Zeu016cwftgmx2aTbbpOWW87SkgbwPQOyUzJB86mnntKMGTO0ySabaPPNN9ecOXP0ySef6PXXX0/5nN7eXkUikWFfAIDyZ9U0RUZRkQrbZSQRjZppskuWmPPTTpO8XmtrGoLvGZCdkgmaS+v+YR7/CiuskPIx559/vmprawe/PB5PocoDAFjIiilvjKJiNGyXkcTxx0sffGCOf/xjKRCwtJyl8T0DslOSQTMWi+mEE07Q1ltvrU033TTl40477TR1d3cPfrW3txewSgCAVayY8kazF4wm1XYZA11n/f5GiyqzyP33m+1LJMnplO64Q5o40dqalsL3DMhOSQbNWbNm6e2339bdd9896uMmTZqkmpqaYV8AgPJnxZQ3GodgNE5nlcLhGQoEvHK7a2S32+R21ygQ8FbeNhnt7dLMmYnzK6+U1l3XunpS4HsGZKfk9tE89thj9fDDD+vFF1/UWmutldFz2UcTACpDc3NYgUA4afCz220KBLxqasrtWjCHY3bKoDlw3f7+M3N6TaDk9PdLO+0k/e1v5nz//aW77zaNgAAUvbLcRzMej+vYY4/VQw89pL/+9a8Zh0wAQOWwYsobjUOANFx8cSJkejzSddcRMoEyVTJBc9asWbr99tt15513qrq6Wl1dXerq6tJ3331ndWkAgCKTiylvmXaQpXFI6aFLcIG99prU1GSOB7YyWX55a2sCkDclM3XWluLTrltuuUUzZsxI6zWYOgsASMdAB9mlm/sMjIgmC6vjeQ4KLxrtUzDYouuuez1pUyi+X3kSjUoNDYkus6efLp17rrU1AchY2U6dTfaVbsgEACBd4+kgS+OQ4jd0C5pUnYfpEpwH8bh0xBFFvZUJgNwrmRHNXGBEEwCK08AoUyjUqs7OHrlc1fL5GuT3N1oS0DyeoDo6Iinvd7tr1N7uL2BFyIXRmkQtje9xDp1/vhnBlKSaGun114uyyyyAsWWSpyYUqCYAAJJKNuW0oyOiQCCsuXPnWzIaaMU+nMi/0bagWRrf4xx54gnpjDPMsc0m3XknIROoECUzdRYAUJ7GM0013+ggW54yCY98j7O3qO0dff+r/c3UWUkXV++q5lYnzZaACkHQBABYarRRplgsrlCotcAV0UG2XKUbHvkeZy/66Zfqavy5lvl+kSTpAW2kUyI/UiAQltc7h7AJVACCJgDAUsU4TdWKfTiRf6N9gDCA73EOxGLq2HFvrfP9p5Kkt7WyZmhvxWWn2RJQQQiaAABLFeM0VTrIlqdUHyAMcLmq+R7nwrnnasN3X5Ikfa1ltLcOUFSTBu+2aqYCgMKi6ywAwFKjdQK1220KBLxqavKO+/WLraMtrMXPQ549+qi0115SPK6YpN11sJ7WeiMeZrfb1N9/ZuHrA5CVTPIUQRMAYKlkXWelxBTGbEaX8vnaqBz5CqdlF3rnzzd7ZEbM1kCnakddqJ8lfSjbxwClKZM8xdRZAEDBRaN9am4Oy+MJqrb2AnV1RbXddmvI5arO6TTVYuxoi9Iy8GFFIBBWR0dEsVh8cPudbJra5Ot1LfP552Yk84eQ+e9NttPFtuQhk2ZLQGUgaAIACirZG+zOzh797W//U12dU93dp6q93a+mJm/WozrF2NEWpWHgw5CpUy9Va+unOf+woqw+BPn8c2nHHc2IpiRttplWf/5B1W+xGg21gApG0AQApGXoKKTDMVseT1DNzeGMR14K+Qa7GDvaovgN/TAkEkn9853NhxVl8yHIQMicN8+cT50qPfywnKsuT0MtoMKxRhMAMKZcrnX0eILq6IikvD+Xa7cKeS2Uj9EaVC1tvE1tHI7Zo75+STTL+eILaYcdhofMv/1NWnddS8sCkD+s0QSAEpKrkcJ8yuUoZCFHGUfbN9Fmk2bM2Dxn10L5GG20cWnj3X6nGLf1ycgXXwwfyXS5pBdeIGQCGETQBAALlUpDkFxO8yvkG2y/v1HTpq2S9L54XHr00feL5u8YxSPdDzuyaWoz2ocgRd8sZyBkvvWWOXe5zEjmeiO3MQFQuQiaADAOpbheMRu5HIUs5Btsp7NKv/jFerIlv5zmzfusaP6Ox6MURsNLUTofdmTb1Mbvb1R9fd24m+VY9r3/8ktpp50ImQDGxBpNAMhQqa5XzEYu6yz03pZj1e5w2BSPq+T2MGSP0PFJZ+/KsdZo1tRM0h//2GjZPpqWfe+//NKMZL75pjlfbTUTMtdfP/fXAlCUMslTBE0AyNBob0LtdpsCAa+amrxpvVapNATJ5Z9ZKuxG9Xb72Ur3/3SlFNJy/T2pBOkGtGIP8WN97087bWtNmjQht79fb70lHXCA9O675pyQCVQkgmYKBE0AuZDL0b2xXmvg9aweaSv2N96pRKN9WmGFC7V4cSzt55RKSCuV0fBikkk4L+SHIZka63s/caJd/f3x3PyuxmLSFVdIp5wi9f0wLXe11Uzjnw02GO8fAUCJoussAORRodYrDiiG5kBOZ1VJ7okXDLZoyZL0Q6Y0/j0MC71mjj1CM5dJUyuns0pNTV61t/vV33+m2tv9amryFsXP+ljf28WLY7lZ9/3pp9Juu0l+fyJkbr65FA4TMgGMiaAJABnKZdfUVA1BllYMzYGK+Y13KqFQa9rTZodK9UY+VZjs6oqO2j24qyua8xBa8ttjWKBcwvl4v7cZfYjyyCPStGnSM88kbjvpJOmVV2j8AyAtBE0AyFAuu6YuPVI4mvGOtFWy8QaHZG/kR9uKpqHh+pTdg99441M1NFyf8y1sSnp7DIvkOpxb1fk1nZkQqYz5O/Htt9Ixx0h77WW2MZHMVNlnnpEuuUSaNGlc1wVQeQiaAJChbLclWNrQkcKx3jyWyohLsRjPyE+qkDbaVjSffhpNOSUzHlfS+7Mdpc71z2ElyGU4t3IP3NG+9xMnjv7WLuXvRDwuPfecNH26dN11idv32ss0Avr5z7MtG0CFIWgCQIbyuV6R6ZC5NdbIz9L7a44W0kZb3zde2YxSl+q6WSvlMpznaw/cdEZJR/ven3LK1pmF6Z4e6eqrpU02MWHyvffM7ZMnS9dfLz30kLTSSuP6swCobHSdBYAiwpYVuTVat9zNNltFe+65vubMeTOtrqJjbUUzXsWyhU2lyFU32Xx0/c1Fd+e0X+Pdd03A/MtfTNgcqqFBuuMOacMNM6ofQPlje5MUCJoAil2pbiOSa7ncWqJQwWK82IakNOVjD9xcfdCU9Gd+5hY68ZB1tOwbr0rXXis9//zIJ267rTRrlrTvvtKECRnVDqAyEDRTIGgCKAWpgtHMmdN1ww2vF+W+frlUrGF7tBBgs0l1dU4tXLhoRM2rrrrsiNuH3s8odWlK9sGDQ/2apoXaQl1auzamM2ZNk775RuruNl8Dx99+Ky27rOR0StXVg/+9+f4P1RWVurWMvtJkfanJ+lJTBv87Zeqq+k/Hn8Yurrtbeucd6e23zde8eea/A819hpoyRTr0UBMwN9ssJ383uVTM+5kClYigmQJBE0CpKtbwlQ/FOn14rO/B448flPSDgJkzp+sXv7izIr53laS5OazLznpaP463a2t9oq3Vrp+oQ04tzu+Fl13WfEkatnfPwHEsJn311divs+66JlzOmCEtt1yuq8yJSvp3DygVBM0UCJoASlWxhq98yMfat1wZ7+gKozJl5LXXpFtvVf/fwrK9847syvBt1DLLmEY7334r9fbmp8Zk6uqkTTc1X7vuahr/2Iu7J2Ql/bsHlAqCZgoETQClqpjDV67lY+0bkJW+Pun++6Urr5Refjnlwzody+nrjbbQuof+QpPWWVOqrTVfyy2XOB66D+XixVI0aprxRKO66c9h3X3jK6qJf6cV9J1W1LdacfC/32uL1Sdq9WWXSN9/n3iNoa2TB45XXdVMgx0IlptuWpKdYyvp3z2gVGSSp1jpDQAlYKz9M4t+f814XIpEpIULk399+aV50x2L6dmqD9X3/WI5FJddcTkUU7/s+lxT9JmWVZ9zBbPtwiqrJL5crsR0QiBXPv3U/Kxdf73U1TX8Prtd2nxzaeutB79cHo9cmbz+xImKTlxWwVvfUijUqgULIpowYR0tWRIbNit26FRRVdAIeMn/uwdUOIImAJQAl6t61E/2i2Z/ze++k95/3+zF9+675r/vvWdu++67tF5ih7EeEJF09FPDb7PZpPXXN5vNNzSY/26xhRlBAjL1yivS5ZdL990nLVky/L5p06Q//EH6zW9MI58sJFuDuHhxTDabNHGiXf398YqeZl0y/+4BSIqgCQAlwOdrGHWt0ohN2Avhm2+kV181UwlffdV0ufzf/4Y3KCmUeFyaP9983Xln4vZ11zXBc6utpL32ktZcs/C1oXR0dkonnijdc8/w2x0OaZ99TMD82c+GT1fNQjDYMqLRjWR+nPv74xW/BrEo/90DkDbWaALAOBWywYvl3Rf7+02QfPnlxNe776b3XIdDWmcdyeMxa8eSfa28slRVZaYjOhyKfrtEV1/7L9005y0t+HSRPKtN0az919TvfunRlOjX0mefJb4WLpQ++EB66y2zlm40DQ3Sr35l9glkM3oM6O+Xrr5a+r//M+slB6y0kuTzSUcfbX5+c4w1iKOz/N89ACPQDCgFgiaAXLHiDVDBO5e2t0tPPy099ZT03HNmb77R1NSY8LbhhtJGGyWO117bhMh8W7zYhOHWVun1181/29qGN04ZaqONTODcd18zzTZHo1QoMa++aoLkG28kbltxRencc6XDDzddYvOExldjo2MzUFwImikQNAHkSlm23e/tlf7+dxMsn3rKhLZUJkww4eynP018rbVW8YW1JUvMn+Pxx6UHHjDhM5kNN5ROOMFsXD9lyrguxRviEvP119Lpp5tGP0PfCh15pHTBBSZsJpHL7zMjmgBKDUEzBYImgFwpmzeI334rPfqodPfd0jPPmPNkll9e2mEHs9bxpz81IXPy5MLWmgv//a/00EPSgw9K//jHyPWkK64o/f735quuLu2XZYpfCYnHpbvukvx+M/V6wGabSddeazrIppDr73NZfmAFoKxlkqeKe6deACgi0WifmpvDY4ZMqcjb7vf1SY89Jh18sNka5IADpLlzh4dMm80EyrPOklpapM8/N/sInniiCZulGDIl0wzI7zcjt52d0nXXSdtum7j/yy+l5mZpjTWk3/5WevvttF42VVOXWCyutrYuBYMtOfxDZGboz63DMVseT1DNzWFFo2OsZy1HixaZ6bAHH5wImcsuK11yiZluPUrIlHL/ffb7G1VfXye7ffhMgIHg6vc3ZvR6AFBMGNEEgDSkGslIpehGNGMx6cUXzUjO/fdLX3018jGrrirttpu0667STjulnDpYll5/XQoGTbfRpbez2HlnM8XSm3pkqVhHuBlpHeLdd6Vf/1r6978Tt+27r/TnP6fd6Ccf3+dSn3Jd6vUDyAxTZ1MgaAIYr9GmuC2tqKa8ffWVdPPN0jXXSB9/PPL+5Zc3XVgPPNAEKYej8DUWk44O6aqrzLq9b74Zft/ee0sXXSStt96IpxVrUxemZv7gzjtN99hFi8y50yndcIMZzc9AsX6frcIHGUDlYeosAORYKNSadsgsiilvbW2mqcnUqdKf/jQ8ZE6ZYoLlI49IXV3mDfcOOxAyJcntNo1g2tulK64wHXMHzJ0rbbyxmXq71IjwWBvHW7Wx/Gg/t7FYXKFQiuZI5eL776VjjjFTZQdC5qabSv/6V8YhUyre77NVinnKOADrETQBIA3prLl0u2sUCHit+xR/8WIz9fNnPzPNem66afjWHjvvbKbOfvaZGeHZc8/CbDsyiqJdP+h0Sn/4g/T++2ZEeLXVzO1LlpipluuuK11++eC+nT5fw4h1dgOs3Fh+rJ/bol5LnK2PPjJrLq+7LnHbjBnSK69IG2wwrpcs1u+zVSr+gwwAo2LqLACkoVjX4EkyIzXXXGPWGH766fD7amqkI44wXVTXX9+a+lIoqWl30ahpGHPRRdJ33yVuX3dd6eKLFd1xN3m3u7Xo/ixF/XObTw8/bJr+DOz9uswy0tVXmwZPWSipn9kCYCoxUHmYOgsAOVaUIxmLFkkXX2z2rzz55OEhc+ONTfhcsMCMwBVZyJRKbNqd0ykFAtIHH5gAM+DDD6V99pFzv7304m3bKxDwyu2ukd1us36EW0X6c5tP8bh03nlmPe1AyFxvPenll7MOmZLkdFYpHJ5RdN/n0eRz1gBTiQGMhhFNAEjDeEYy8taNcdEis9/fRReZbUcG2GzmDfYf/iBtt505L2IlPdr2+uvSSSdJ4XDiNqfTrO885hjJXhyf41bUCFxvrzRzpnTbbYnbfv1rM4W8Qv+fn+/vP82mgMrDiCYA5FimIxkDb/ACgbA6OiKKxeLq6IgoEAjL650zvtGERYukSy81DWr+9KdEyLTZTHOfd96RHnxQ2n77og+ZUomvH5w+XXrhBfP37Xab26JR6dhjTch//31LyxtQiiNw4/L552ZLnqEh87zzpHvvrdiQKeV/1gD7gAIYDSOaACpePkYec/pJf3+/6Qx71lmJTeYlEyYPOEBqapI22mhcdVqppEc0h+rulk45xWyJMmCZZaSzz5ZOPFGaMMG62irBv/8t7bFHorPy5MnSX/5iRjMrXCF+x9hHE6gs7KOZAkETwNLyNbUsZ2/wXnhBOuEE6a23ErfZbNJvfmMC5sYbZ1xbsSi7aXcvvGC2lPnoo8Rt06ebrrXTpllXVzl7+mlp//2lyA+/a6utZrbt2XJLa+sqEjTrAZBrTJ0FgDTla2pZ1tNCP/7YjMjssMPwkLnfftK8eWabkhIOmVIZTrvbfnvzvTnxxMQazddfN2HznHPM1ijInauuknbfPREyt9hCevVVQuYQNOsBYCWCJoCKlq994Mb9Bi8alf7v/8xU2AceSNw+fbr00ktmzdkmm4yrpmzko3NlrtcPFsWenFOmmHW0//xn4oOAJUvM6PO220r/+U/hailXS5aYtbB/+IMUi5nb9t5b+vvfE+tlIakCuw4DKCpMnQVQ0XI9tWxgvdIll7QoEulN+ZojpoXG49Idd5i1fp2dgzd/Zq/WafEd9axrG808aktL1j2VQufSoqyxt1dqbpbOPz8RiJxO6fLLzd6mJdCwqeh0d5tp408/nbjtlFNM458i6fRbTAr5e8FaTaAyMHUWANKUy6llQzvNjhYyR0wL/egj6ec/lw49dDBkLrY5dJG21rqxWbo5Xq/2BdHsOtZmoRT2uyzKGidNMlNmX3rJdAqWzIj1734n7bvv8K1pMLaPP5a22ioRMidONOtfL7iAkJlCoboO56XLNoCSx7/MACpaLqeWpQo7A2pqqoa/wevvly67TNp0U+n55wcf9/4GW2lTzdIp+rl6tMzg7VaFpnxNL86loq6xsVFqazMBc8DcudJmm0lPPmlVVZYY9/Tmf/5T+slPTIdZSVphBem558zIMEbldFapqcmr9na/+vvPVHu7X01N3pyOMhblBz0ALMfUWQAVLZdTyzLqNDtvngker72WeMDqq0vXXivPUfOLatuPUuhcWQo1SjIBc+ZM6YsvErf9/vfSxReb9Z1lbNy/a3fcIf32t1LfD2F0gw2kxx6T1l23QJVjLGWzVRGAMTF1FgDSlMupZWl1mu3tlc48U2poSIRMm800Nnn7bWn33dN6nUI2vSmFzpVW1ZjxCN3ee5sPGXbbLXHbNdeYjqlDP3QoQxmPesVi5nflkEMSIXPHHaWWFkJmkcm6yzaAskTQBFDxcjW1bKwws+eKX5hA0dyc2Opiww3NGr4rrpCqq9N6HYfDVtC1UKXQudKKGse9Lq2uTnr8cRMwJ082t73/vpliO3t22W6DktH05u++kw480PyuDPD5zFTj5ZfPc6XIVCl8GAWg8AiaAAquKLahyINUYadKS3ShntVDX1wlvfuuuXHCBLPlRVubaXCSxutIZvBzyZJYQddCFXK/y/H+bFixJ2dW69JsNumYY6Q33pB+9CNzW3+/dNZZ0jbbSB98kPN6rZb2qNdHH5m/g3vvNec2m1nLfN11pgEQik4pfBgFoPBYowmgoIpyG4pRZNKyP9mfbVMt1O16UJtrYeKBP/qRdOON0rRpKa+Z6u/I4bBp8eJYynrztRaqEFsXZPuzUejtFXK2Lm3xYuncc02H2v5+c9uUKSZc+Xxlsw1KWn9fV60tHX642cZEkpZdVrrrLmnPPQtUJcaj1P5dBzB+meQpgiaAgmpuDisQCCedQpd0f0kLjefN00DYufH6f2n/zmd0Tvx5TdIP4WHiRBMmTjpJcjjGvHay0HTWWX/TaP9qF03Tm3EopZ8NKQ8NiF55xWxxM3Q0c/fdpZtuMtNtS9xo398qW0wvbPW+tvrH3Ykb11tPeuAB050XRY99NIHKQNBMgaAJ5EcmbzDGGtVwOGw66yxvUbw5GXfw+d//zKhMOJy4bbPNpNtukzbfPKuayrm7Y6n92fJS76JF0h//aKaJDlhxRenSS6XDDivp0c1UH9xMtfXokWUfVkP0w8SD99vPjPrz/2oAKCp0nQVQMJk2RBlrnVZ/f7xoNvnOeG/GeFy69VYTKgdCps0m/elPpqNoliFTKu+1UKXWuTJX34th61JrLpXnsfV11yEXKLbKquYBX34pzZgh7bRTSa/dTNbhef+VFuq9KTcnQubEidLll0v33EPIBIASR9AEkJVMG6Kk032wWDb5zij4fPml9Otfm0DQ88Pta6whvfCCdNFF0qRJOanJiqY3hVJqnStz8b1I9UHNIXf26ud1J2vxr/dPPPivfzUfYpxzTmK7jxIz2OH5f8erf7ZD93x1vZyLvjZ3ejzSiy9Kxx1X0iO3AACDoAkgK5mO+o02CjTWcwst7eDz/POmsc+DDybunDFDeustyZvbNYW53Pez2JTaaO14vhdLd9WdOvVSvfHGp0k/qHlhXo9mb3iU9MQT0pprmjt6e0234i22MNvilKI33jCdlv/v/8xemZK0yy5Sa6v0059aW1sZKNeu3gBKD2s0AWQl04YoqdZppfPc0eSjEcVYazRn/99WOuO7Z6RLLtFgh54VV5RCIWnffcd1zVKQr6Yf5d65MpOf/QETJ9r11VenyGlbLJ19tulEO9CZVjJdaS+4oDT2loxEpDPPlK68MhEwbTbz5zrjDMme3WffNKMp/98hANajGVAKBE0g98bTEGXgDeHZZ4fV35/6n6B0m6nk683VaK+714bSfZMeluONIaOuO+4o/eUvksuV8bVKRb7fyJZTWFj6z+J0Vqmnp3fUrsHJzJ69XaLpVFubCZevvZZ4wAormAZCxx4rVRfX9GJJ5kOYe++V/H7p008Tt2+4oWl6lINRfwKWUWqdmwGUHpoBASiY8Ux3HFinddZZ3pxMlcx0nWi6kk6NnFqtuXv26IH/XpgImRMnShdfLD3zTFmHTCl/f9cDBtfwtfvV33+m2tv9amryllxISLb2MhLJPGRKGj6FvL5eammRrrhCcjrNbV99JZ1+uplee955ZuSwWLz/vrTzztIBByRC5uTJps4338zZ1PJ8/1zmQz6muGbcwAwA8ogRTQBZyWYkIVejEAXbFuOrr6SZM4evxdxgA+nOO6WG4lo/mC+F3IKklEc3RxtZylTKKeQdHSZg3nFHYiqqZEY4TzrJjHBa9f+6zz4z3WMvuWR446I99zQheWDNaY6U2tY4+RqBzfnergCwFEY0ARRMpg1Rhn6KX1t7gbq6otpuuzXkclWPu7FNQbbFSNbwx+eTXn89ZyGzFJp4FGoLkky3zSk2o40sZSplUyq320zVfvdd6dBDE2scv/rKrHlcc03p3HPNeSHEYub3ZP/9TW3nnZcImauvLs2dKz3ySM5DplR6W+PkawS21Do3AyhvBE0AWUt3umOy8NDZ2aO//e1/qqtzqrv71HFNlczrm6veXrP+baedpAULzG0rrGAC5/XXS8suO/7XHqJUglWh3siW4lTIoRYsyM301bSmkK+/fiJwHnZYInB+/bXp7LrKKmb98FVXSe3tOalrmM8+M1v4bLCB+T257z5p8WJz34QJ0qmnSv/+t7TXXrm/9g9KLWDla4prqXVuBlDeCJoA8iLZ6Nxee92VciuHbMJD3t5cvfOO9OMfS5demrhtxx3NtiX77DPsodmORpZKsCrUG9lSX2tWXZ3+vql2u02TJ08YsXVkxnujrr++dOut0nvvDQ+c/f1mD84//MGMLG65pRnpfOcdjWvR6JIl0gcfSA89ZNZeut3SKadIH36YeMzKK5vb5s+Xzj8/Zx/IpFJqAStfI7DlvM8ugNLDGk0AOTeebRyk8a+jyvl6p3jcbMFw8slmRFOSqqrMG+YTThixDUMurl8qa8wK1d2z1Nea1daer0gk9YcMNptks9kG153OnDldN9zwem7Xo37wgRl1f+gh6aOPkj7kf44VtWTNtbX6j9bTxKmrmdHPga9VVzU/6++9Z0ZLB74++GD4usuhdtzRTCnfe2/zO1MgpdZ1Npe/70PXMi9YEJHTWaW+vn719pptcGpqqnTccT/RKadsU1R/BwBKE9ubpEDQBApjvI1QsgkPOWsc8+mn0hFHSE8/nbhtk01Mw5XNN0/6lFxsKVBKwaoQTXpKJXinUlTfz3hcevtt9d77gD6+9GZt+F2Op8+utJL5nZk5U1pvvVEfms+fnVJqHpWrbUjS+VCvWMM2gNJE0EyBoAkUxlghIRXLw8NDD5nRmC++SNx23HHSBReYLRlSyEUoKvVglWulvh9gMX4/B/5O3bGvtZfe0z56T1vrE1UpNvaTB0ycaKbobrihtNFG0vTp0m67SZPGnipcaqOO+ZSrv4t0P9Qrhd8ZAKUhkzw1oUA1Aagg41lfZOk6qq++MoHyjjsSt9XVSXPmSLvsMubTc7HeyudrGDVYFdsas3zz+xs1d+78lG/Ei32tWTF+PwfWvX6i5XSlfqor9VNJcS2n77Wqotp0Zen+a7aTFi40DX4WLjRTZNdf34TKjTaS1l7bNPgZh3TWIVdKEBro1p3tCGy63Y0H1jVXyt8vgOLAiCaAnMt0RNPSEY3HHjNT/rq6ErfttZd0ww2moUkacjF6xWjPSKU0FXJp2e4vm48/t9XTeYtxlDcdxfxzONb3dKhimn4PoHSxjyYAS43VAXKHHdZMa8/NvPrmG2nGDLOB/EDIXG45s03EQw+lHTKl3HS8zHQ/0kqQ7rY5xWi83898bnNj9RYgpbbXpVT82w5l8j0rti1eAJQ/RjQB5FzRj8499ZR05JGJfTElaffdpVBImjo145cr+j8vSkY+16Zave61FEc0rf47GwtrNAEUGiOaACxVtKNz3d1mmuxuuyVCZk2NdPPNZgrtOEKmVMR/XpScfO4favUei6W216VU/Pu5pvqeDlUq65oBlB9GNAGUv3hcuv9+6fjjzfYlA3beWbrxRsnjsa42YIh8r6O0cr1hKY78W72uNR1L76NZXT1JUlzR6OKiWk8KoDywvUkKBE2gAn38sTRrlvTkk4nbnE7p0kvN6KYt9UgAUGilOL00E8XcWCeZcv9+AECmmDoLAIsXSxdeKG2yyfCQueee0ttvm/0yCZkoMqU4vTQTpdbgqdy/HwCQTwRNAJaJRvvU3ByWxxOUwzFbHk9Qzc3h7Ds5/vOfUkODdOqp0nffmdumTpUefFB6+GFpjTWyLx4lL28/f1mweh0lhsvV96MYf9YAIN+YOgvAEnlZr/XFF9IZZ5jusYkXlP7wB6m5WaqmvT+MYl4vWGrTS8tdtt+PYv5ZA4BMsUYzBYImUDxyum3A4sXSNddIgYDZH3PA9OnS9deb/wJDFPu2FSgf/KwBKCes0QRQ9HK2bcCTT0rTpkknnJAImU6ndPnl0iuvEDKRVC5+/pgOiXQU+xYpAJAvBE0Alujs7Mnqfr33nrT77ubrvfcSt8+YIb3/vnTccZLDkX2hKEvZ/vwNTIcMBMLq6IgoFouroyOiQCAsr3dOxYZNwvdIWf9bBwAliqAJVIBifPPnco2+XjLl/V9/bUYvN9tseDfZrbaSXntNuuUWabXVclcoytK4f/5+EAy2jFhzJ5kRqra2LgWDLVnXWGoI38ll+7MGAKWKoAmUuWJ985fxtgF9fWY67Hrrmf8uWWJud7ulu+6SXnpJ2nLLPFeNcpHJz1+yD2ouuaSF6ZBLIXwnxxYpACoVQRMoc8X65i/tbQPicen++6WNNzYjmV9+aW6fPNk0/5k/XzrgAPbEREbS/flL9UFNJNI76utX4nRI1iImx5Y1ACoVQRMoc8X65s/prFI4PEOBgFdud43sdpvc7hoFAt5Eu/9//lPaemtpv/2k//wn8eSDDzYB86yzpClTLKk/E8U4dbnSpfXzp9Qf1IylEqdDshYxuXR/1gCg3LC9CVDmHI7Zo75Jtttt6u8/s4AVpeGDD6RTT5UefHD47dtvL118cUl1kmUPvdLm8QTV0RHJ6DmVumXFWH9XbneN2tv9BawIAJBrbG8CYFBJNaL46ivp+OPNNNmhIXPjjaXHHpOef76kQqZUvFOXkZ5MR+GsnA5p9cg5axEBAEMRNIEyVxJv/pYska6+2jT6ueKKRKOfujopFJLefFP6xS9Kch1msU5dRnrG+iCmpqaqKKZDFkPTL9YiAgCGImgCZa7o3/w995xUXy8de6wZ0ZTMustAwEyhnTlTmjDBygqzwrq10jbWBzV//ONWam/3q7//TLW3+9XU5LVkKnQxjJyzFhEAMBRrNIEKEI32KRhsUSjUqs7OHrlc1fL5GuT3N1r35u/DD6WTTpIeeWT47YccIl1wgTR1qjV15Rjr1kpbqayx5ecMAFAIZb1G8+qrr9aaa66pZZZZRj/5yU/06quvWl0SUPSczio1NXmLYuRFkYh08slm3eXQkPnjH0stLdJtt2UVMq1ep7a0kpi6jJRKZZSuUCPnxfb7BQAoXiU1onnPPffosMMO03XXXaef/OQn+vOf/6z77rtP8+fP1yqrrDLm8xnRBCz21FPSkUdKCxYkblttNenCC82WJfbsPvsqxtGnYqwJ5acQI5r8LAMA8jqiefjhh+vFF18cd3HZuOyyyzRz5kwdccQR2njjjXXddddpypQpuvnmmy2pB0Caurul3/1O2m23RMicNEk64wzp/felQw/NOmRKxbFObWmlMiKG0laIkfNi/P0CABSvjEc09957bz3xxBNaY401dMQRR+jwww/X1AKsperr69OUKVN0//33a++99x68/fDDD9c333yjhx9+eMRzent71dvbO3geiUTk8XgY0QQK6emnzShmR0fitp//XLr+emmttXJ6KdapoVIVYrSR3y8AQF5HNOfOnasFCxbomGOO0T333KM111xTu+22m+6//34tXrx43EWP5YsvvlB/f79WXXXVYbevuuqq6urqSvqc888/X7W1tYNfHo8nb/UBViu6tVORiOkYu+uuiZDpdJqA+fTTOQ+ZEh1eUbkKMXLO7xcAIBNZr9FsbW3VLbfcohtvvFFOp1OHHHKIfv/732u99dbLVY2SpM7OTk2dOlX//Oc/1diY2I7h5JNPVjgc1iuvvDLiOYxoolIU3dqpZ54xo5jt7YnbdtpJuvFGaY018nZZRlyA/OH3CwBQsK6zn376qZ599lk9++yzcjgc2n333TVv3jxtvPHGCgaD2bz0CCuttJIcDocWLlw47PaFCxeqrq4u6XMmTZqkmpqaYV9AOSqatVP9/WbLkl12SYRMp1O67joTPnMYMpON4K6//gp0eAXyhA7KAIBMZBw0Fy9erAceeEB77LGH1lhjDd1333064YQT1NnZqVtvvVXPPfec7r33Xs2ePTunhVZVVWn69Ol6/vnnB2+LxWJ6/vnnh41wApUoFGodETIHxGJxhUKt+S8iEpH23FO67LLEbTvuKM2bJx11lGRL/gZ1PAZGcAOBsDo6IorF4uroiOiFF/6rSZMcI94MD4zs+v1j/1tRdFOQgSLh9zeqvr4uq98vAEDlmJDpE1ZbbTXFYjEdeOCBevXVV1VfXz/iMdtvv72WW265HJQ33IknnqjDDz9cW265pX784x/rz3/+sxYtWqQjjjgi59cCSonla6c+/tiEzHfeMecTJkjBoDRrVk4D5oBUI7jxuPT990u0/fZr6v33v1JnZ49crmr5fA3y+xvHnD6cbApyR0dEgUBYc+fOp0ssKtrAOtBgsEWhUGvGv18AgMqScdAMBoPab7/9tMwyy6R8zHLLLaePP/44q8KS+c1vfqPPP/9cZ555prq6ulRfX6+nnnpqRIMgoNK4XNWjrp1yuapzcp1otG/Em8zmXSbo8LmzZfvyC/Og5ZeXHnhA2n77nFwzmdFGcONx6f33vxrXWrF0piA3NXnHVTNQDpzOKjU1efk9AACMKetmQKUkk8WrQClpbg4rEAgnDV92u02BQPZvDJON9h2qNt2gRzVJ/eZBG2wgPfqolONmYEtzOGanDJqS+TP395+Z8evS7AQAACC1gjUDAlAcCrF2auhon00xnafn9BfNHQyZH609XWppyXvIlMYeoR3vCK7lU5ABAADKBEETKAOF2ENvYLrqFPXpAd2r0/TS4H1X60fasfcAM222APLV/TJfARYAAKDSZLxGE0Bxyvfaqc7OHlVpiR7WXdpJZg32Etl0vHbTNfqx7J9+m5frJuP3N2ru3Pkp9w0d7wiuz9cw6hRktm8AAABIDyOaANLiXm1Z3aEHBkNmtyZpdx2sa/RjSYUd7cvXCK7f36hp01YZ0SjXZpOmTVuF7RsAAADSxIgmgLHF43qo7gU1LHhXkrRIE7WrDtHL8khKf7QvWdfa8W6NkK8R3FTt0SqnbRoAAED2GNEEMLbTTlPD649Lkvrk0L76zbCQmc501YGutYFAWB0dEcVi8cE9Kr3eOYpG+7IuMxrtU3NzWB5PUA7HbHk8QTU3h9N+7WCwRfPmfTYiVMbj0rx5nykYbMm6RgAAgEpA0AQwuosvli68UJIUt9n06H5n6N/uhoynq6azR2U2chFkR9ufMxaLKxRqzapGAACASsHUWQCp3XyzdPLJg6e2q6/Wr445Rr8ax0ulE+KymQabTpAd6/XZ3gQAACA3GNEEkNxDDyk+c+bgaZNtB3nO+z6jqahD5TvE5WI0ku1NAAAAcoOgCWCkF15Q/IADZIvFJElB/VTnxH+W1ZrKfIe4XATZfO3PCQAAUGkImgCGmzdP+uUvZeszQfIvmqaTtLMkE8DGu6Yy3yEuF0HW729UfX3diDqz3Z8TAACg0hA0ASR8+620//5SNCpJekTr63faS/Gl/qkYT2OcfIe4XATZfO3PCQAAUGls8Xjl7A4XiURUW1ur7u5u1dTUWF0OUHyOOkoKhSRJb6hOW+l3+l4Tkz7Ubrepv//MjF4+l/toJnttr3fOiIZAA0GWoAgAAJCdTPIUQROA8eCD0q9+6Cc7ZYq2q/6Dwgsnp3y4212j9nZ/gYpLTz6DLAAAQKXLJE8xdRaA1N4uHXlk4vzyy7XjrN3SmooajfapuTksjycoh2O2PJ7guDvTjsfQ69fWXqBQqFU+X4MWLDhRPl+DQqFW1dZeUPC6AAAAKhkjmkCl6++XdthBevFFc77fftI99yi6aPGYU1ElWTpdNdV0WZtNWmaZCert7WcaLQAAQI4wogkgfeedlwiZq69u1mjabGk1xgkGW0aEPGn8nWkzler68bj03XdLLKsLAACg0jGiCVSyf/xD8nrNqKbdbgLn1lun/XSPJ6iOjkjK+/O9jnOs66dSjOtLAQAAih0jmgDG9s030kEHmZApSWeemVHIlKTOzp6s7s/WeF8/33UBAABUOoImUInicbOVySefmPNttpHOOCPjl3G5qrO6P1vjff181wUAAFDpCJpAJbrlFunee83xcstJd9whTZiQ8cv4fA1pdabNl9Gun0oh6gIAAKh0BE2g0nz0kfSHPyTOb7jBNAEaB7+/UfX1dSPC3kB3V7+/MZtKx319m02aPHmCZXUBAABUOoImUGlOPFH69ltzPHOm9Otfj/ul0ulMm0+prn/22dvpo4+Ot6wuAACASkfXWaCSPP20tOuu5riuTnr/fama9YoAAAAYG11ngQoQjfapuTksjycoh2O2PJ6gmpvDikb7kj+hr086/vjE+UUXETIBAACQFwRNoEhkEhyj0T55vXMUCITV0RFRLBZXR0dEgUBYXu+c5GHzyiul+fPNcWOjdMghef4TAQAAoFIRNIEikGlwDAZb1NbWpVhs+Mz3WCyutrYuBYMtwy/w6afS2WebY5tNuuoq818AAAAgDwiaQBHINDiGQq0jHjv0OaFQ6/AbTztN6ukxxzNnSg2pt/fIeEouAAAAsBSaAQFFwOMJqqMjkvJ+t7tG7e3+wXOHY3bKoCmZbTz6+880Jy+/bKbKSmbPzPffl1ZeOenzBkZWlw69A9uC0LEVAACgctEMCCgxnZ09Gd3vco3exGfw/lhs+J6Zzc0pQ6Y0jim5AAAAQBIETaAIjBUcnc6qYVNZ119/hZRLLO12m3y+H6bG3nKL9K9/mePNNpOOPnrU62Q8JRcAAABIgqAJFAGfr0F2e+rmPD09vcOaBP3tb//TMstMGBE2B6a4+v2N0jffmLWZA664QpowYdQ6Mh1ZBQAAAJIhaAJFwO9vVH193YiwORAkl15JHYvF1dvbr+23X1Nud43sdpvc7hoFAt7EOspAQPr8c/OE/feXtttuzDrSnpILAAAAjGL04Q0ABeF0VikcnqFgsEWhUKs6O3vkclUrEvlekUjybq+xWFzvv//VsCZBg955x2xhIkmTJ0uXXJJWHT5fgwKBcNLps8Om5AIAAACjoOssUMQy6i47IB6Xfv5z6fnnzXlzs/R//5fW9eg6CwAAgFToOguUiXFNZX3uuUTIXGst6Y9/TPt6AyOrgYA39ZRcAAAAYAxMnQWKWMZTWeNx6ayzEufnny8ts0xG13Q6q9TU5FVTk3c8JQMAAACMaALFLFWToGHdZYd69lmp5Ye9LjfZRNpvvwJVCgAAACQQNIEiltFU1qVHM886S7LzKw4AAIDCoxkQUEKi0b4RnWl9vgb5/Y1y/uMFadddzQM33VR6802CJgAAAHImkzzFGk2gRCTrCNvREVEgENbch97TqxNukWPgwYxmAgAAwEIETaBEBIMtI7Ydkcx+mqu2vSRH/BVzw2abSfvua0GFAAAAgMGQB1AiQqHWFHtqxnVm/IXEKaOZAAAAsBjvRoES0dnZk/T2XfShfqoF5mSzzaR99ilgVQAAAMBIBE2gRLhc1Ulujets/S1xymgmAAAAigDvSIES4fM1jNhPc1d9qJ/8MJrZtcrajGYCAACgKBA0gRLh9zdq2rRVhtwS19lKrM28aPJOin67pPCFAQAAAEshaAIlwums0i9+sZ5sPwxq7qYP9GN1SpLe1Kq64pPVFAy2WFghAAAAYBA0gRJy661vKR6XpLgCQ9ZmBrSd+uM2hUKtVpUGAAAADCJoAiVkoPPs7kNGM9u0qh7WBsPuBwAAAKxE0ARKiOk8G9dZQ0Yzz9Z2iv/wq5y8My0AAABQWARNoIT4fA3a3va/YaOZc7WhJMlut8nna7CyPAAAAEASQRMoKX5/o86ufn3w/EJtI8kmu92m+vo6+f2N1hUHAAAA/GCC1QUASJ/zkw/1s8g8SVKHY3k9GNtE7qk18vka5Pc3yumssrhCAAAAgKAJlJbLLhs8dF/cpF6/38JiAAAAgOSYOguUiq4u6bbbzHFtrXTkkdbWAwAAAKRA0ARKxVVXSX195vioo6RqOswCAACgOBE0gVKwaJF0zTXmeMIE6bjjrK0HAAAAGAVBEygFt9wiff21OT7oIGnqVGvrAQAAAEZB0ASKXX//sCZAOukk62oBAAAA0kDQBIrdQw9JH39sjnfeWZo2zdp6AAAAgDEQNIFiFo9LF1+cOP/jH62rBQAAAEgTQRMoZv/4h/Tqq+Z42jRpp52srQcAAABIA0ETKGaXXJI4/uMfJZvNuloAAACANBE0gWI1f770yCPmeOpU6Te/sbYeAAAAIE0ETaBYBYNmjaYkHX+8VFVlbT0AAABAmgiaQDH67DPp1lvNcXW15PNZWw8AAACQAYImUIyuuUb6/ntzPHOmVFtrbT0AAABABgiaQLH5/nsTNCXJ4TDTZgEAAIASQtAEis1dd0mff26Of/1rafXVra0HAAAAyBBBEygm8bh0+eWJ8xNOsKwUAAAAYLwImkAxCYelN980xz/+sfTTn+b8EtFon5qbw/J4gnI4ZsvjCaq5OaxotC/n1wIAAEBlmmB1AQCGyPNoZjTaJ693jtrauhSLma1TOjoiCgTCmjt3vsLhGXI62UYFAAAA2WFEEygWH30kPfywOXa5zPrMHAsGW4aFzAGxWFxtbV0KBltyfk0AAABUHoImUCyuusqs0ZSkWbOkiRNzfolQqHVEyBwQi8UVCrXm/JoAAACoPARNoBj09Eg33WSOl1lG8vnycpnOzp6s7gcAAADSQdAEisGcOVIkYo4POURaaaW8XMblqs7qfgAAACAdBE3AarGYdMUVifPjjsvbpXy+BtnttqT32e02+XwNebs2AAAAKgdBE7DaE09IH35ojnfcUdpss7xdyu9vVH193YiwabfbVF9fJ7+/MW/XBgAAQOUgaAJW+/OfE8fHH5/XSzmdVQqHZygQ8MrtrpHdbpPbXaNAwMvWJgAAAMgZWzweT96CsgxFIhHV1taqu7tbNTU1VpcDSG+/nRjBXGcd6f33JfvIz3+i0T4Fgy0KhVrV2dkjl6taPl+D/P5GwiEAAAAKIpM8NaFANQFI5vLLE8fHHZcyZHq9c4btf9nREVEgENbcufMZiQQAAEDRYeosYJUvvpBuv90c19RIRxyR9GHBYMuwkDkgFourra1LwWBLvisFAAAAMkLQBKwSCknff2+Of/tbqTr51iKhUOuIkDkgFosrFGrNV4UAAADAuBA0ASssXixdfbU5ttmkP/wh5UM7O3tGfamx7gcAAAAKjaAJWOH++6XOTnP8y19Ka6+d8qEuV/KRznTvBwAAAAqNoAkUWjwuXXZZ4nyMLU18voYR+14OsNtt8vkaclkdAAAAkDWCJlBo//iH9K9/meP6emm77UZ9uN/fqPr6uhFh0263qb6+Tn5/Y37qBAAAAMaJoAkU2qWXJo5PPNGs0RyF01mlcHiGAgGv3O4a2e02ud01CgS8bG0CAACAomSLx+PJ21mWoUw2GAXy4sMPpfXXN9NnXS7p44+lqtwExWi0T8Fgi0KhVnV29sjlqpbP1yC/v5EwCgAAgKxlkqcmFKgmAJJ0+eUmZEqm02wOQ6bXO2fYfpsdHREFAmHNnTufkU8AAAAUFFNngUL5+mvp5pvN8ZQpks+Xs5cOBluGhcwBsVhcbW1dCgZbcnYtAAAAYCwETaBQrr9e+vZbc3zEEdIKK+TspUOh1hEhc0AsFlco1JqzawEAAABjIWgChdDXJ115pTm22aQTTsjpy3d29mR1PwAAAJBLBE2gEO69V+rsNMd77SWtu+6Ih0SjfWpuDsvjCcrhmC2PJ6jm5rCi0b4xX97lqs7qfgAAACCXSiJo/ve//9Xvfvc7rbXWWpo8ebLWWWcdnXXWWerrG/sNOGC5eFy67LLB0zkr7DAiTHZ1ReX1zlEgEFZHR0SxWHywmY/XO2fMsOnzNYzYZ3OA3W6Tz9eQ0z8SAAAAMJqSCJrvvfeeYrGYrr/+er3zzjsKBoO67rrrdPrpp1tdGspYNiOMw/ztb9Ibb0iS3p6ypn53y1cjwmRDw/VZNfPx+xtVX183Imza7TbV19fJ72/MrGYAAAAgCyW7j+bFF1+sa6+9Vh999FHaz2EfTaS712Sy7UKkRHDLaLuQPfeUHntMknSQ7de6K75pxnW73TVqb/fn5M8GAAAAjEdF7KPZ3d2tFcbo2tnb26ve3t7B80gkku+yUMQy2Wsyne1Cmpq8Y190/vzBkLnAsZzu699oXLWn08zH6axSU5M3vboAAACAPCqJqbNL+/DDD3XllVfqqKOOGvVx559/vmprawe/PB5PgSpEMcpkr8mcbRfy5z8nrh/7sZbIkXHdklRX5xzX8wAAAAArWBo0Tz31VNlstlG/3nvvvWHPWbBggXbddVftt99+mjlz5qivf9ppp6m7u3vwq729PZ9/HBS5TMJjTrYL+eILac4cSVLc6dQcx5Zp17q0eDye+dpQAAAAwCKWTp096aSTNGPGjFEfs/baaw8ed3Z2avvtt9dWW22lUCg05utPmjRJkyZNyrZMlIlMwqPLVa2OjtRTrdPaLuS666Tvv5ckvbLZrvrq5dHXSTqdVSnD5MKFi9KfrgsAAABYzNKgufLKK2vllVdO67ELFizQ9ttvr+nTp+uWW26R3V6Ss35hoUzCo8/XoEAgnHQENK3tQnp7pauuGniC/B9vqNHabk2caFd1deqgOTDiStAEAABAKSiJtLZgwQJtt912Wn311XXJJZfo888/V1dXl7q6uqwuDSUkk70ms94u5PbbpYULzfGvfqVXP5s46sOXLIlp4cJFoz4mrem6AAAAQBEoiaD57LPP6sMPP9Tzzz8vt9ut1VZbbfALSFcm4dHprFI4PEOBgFdud43sdpvc7hoFAt6xtzZZskQ677zE+UknjTnVdurUmjEfk9Z0XQAAAKAIlOw+muPBPpooyF6Tt90mHXaYOd5pJ+nZZ9XcHB51Km4gYKbEjvUYps4CAADAKpnkKYImkEv9/dLGG0vvv2/Ow2Fp222T7uEpJUZTw+EZkjTmY3IWhgEAAIAMZZKnSmLqLFAy7rsvETK9XmnbbSWlNxU3q+m6AAAAQBFhRBPIlVhMmjZNeucdc/7cc9KOO1pbEwAAAJAjjGgCVnjooUTIbGyUdtjB2noAAAAAixA0gVyIx6Xm5sT5mWdKtuRbqQAAAADljqAJ5MKjj0pvvmmOt9xS2mUXa+sBAAAALETQRMmLRvvU3ByWxxOUwzFbHk9Qzc1hRaN9hSmA0UwAAABgGJoBoaSls21I3ru1PvmktPvu5ri+XmptJWgCAACg7NAMCBUjGGwZETIlKRaLq62tS8FgS34LWHo08//+j5AJAACAikfQREkLhVpHhMwBsVhcoVBrfgv461+llh/C7CabSPvsk9/rAQAAACWAoImS1tnZk9X9WZs9O3H8f/8n2fmVAgAAAHhXjJLmclVndX9WwmHpxRfN8QYbSPvtl79rAQAAACWEoImS5vM1yG5PvibSbrfJ52vI38WHrs084wzJ4cjftQAAAIASQtBESfP7G1VfXzcibA50nfX7G/Nz4XBYev55c7zOOtKBB+bnOgAAAEAJImiipDmdVQqHZygQ8MrtrpHdbpPbXaNAwJu/rU36+yW/P3F+xhnShAm5vw4AAABQothHE8jUTTdJRx5pjjffXHr9dabNAgAAoOyxjyaQL5GIGcEc8Oc/EzIBAACApRA0gUycd560cKE53ndfabvtLC0HAAAAKEYETSBdH30kBYPmuKpKuvhia+sBAAAAihRBE0jXySdLfX3m2O+X1l7b2noAAACAIkXQBNIRDksPPGCOV11VOv10a+sBAAAAihhBExhLf790wgmJ83PPlehaDAAAAKRE0ATGcsstUlubOd5iC2nGDCurAQAAAIoeQRMYDduZAAAAABkjaAKjOe886bPPzPGvfy1tu6219QAAAAAlgKAJpPKf/yS2M5k0SbroImvrAQAAAEoEQRNI5U9/SmxncuKJ0lprWVsPAAAAUCIImkAy990nPfSQOa6rk047zdp6AAAAgBJC0ASW1tkpHX104vySS6TqauvqAQAAAEoMQRMYKh6Xfvtb6auvzPl++0kHHWRtTQAAAECJIWgCQ11zjfT00+Z4tdWk666TbDZrawIAAABKzASrCwCsEI32KRhsUSjUqs7OHrlc1TptnxV1zI1/0mCsvOUWaYUVrCwTAAAAKEkETVguWejz+Rrk9zfK6azKy/W83jlqa+tSLBaXJHV1fK0fXXmJbPrOPOjYY6Vddsn5tQEAAIBKQNCEpZKFvo6OiAKBsObOna9weEbOw2Yw2DLsepLUpLB+pE5J0hcrra6VLrwwp9cEAAAAKglrNGGpZKFPkmKxuNrauhQMtuT8mqFQ67Dr/UTtOkN/lyQtll2H238lTZmS8+sCAAAAlYKgCUstHfqGisXiCoVac37Nzs6eweNl1avb9aAcMjWcLa+e+mK5nF8TAAAAqCQETVhqaOgbz/3j4XIl9sS8VM9oXX0tSWqRWxdom2H3AwAAAMgcQROWGivU5SP0+XwNsttt+oXm6yi9LklapIk6VPsobp8gn68h59cEAAAAKglBE5YaCH3J2O22vIQ+v79Re2zk0K2am7hNu+hj+0qqr6+T39+Y82sCAAAAlYSgCUv5/Y2qr68bETbtdlveQp8z9r0eWnK7VvxhK5NHtYGenLq9AgFvXrrcAgAAAJWG7U1gKaezSuHwjMLto9nfLx14oOzz3zPnG26oPV9+WXvW1ub2OgAAAEAFs8Xj8eQtP8tQJBJRbW2turu7VVNTY3U5sMIf/yhdeqk5Xn556dVXpXXXtbYmAAAAoARkkqeYOovKccstiZA5YYJ0//2ETAAAACAPCJqoDC+9JB11VOL8yiulHXawrh4AAACgjBE0Uf7++19p332lxYvN+axZ0tFHW1oSAAAAUM4ImihvPT3SL38pff65Od9pJ+nPf7a0JAAAAKDcETRRvmIx6ZBDpHnzzPl660n33mvWZwIAAADIG4ImCiIa7VNzc1geT1AOx2x5PEE1N4cVjfbl76Knny498og5rq01x8svn7/rAQAAAJDE9iYogGi0T17vHLW1dSkWS/y42e021dfXKRyekfv9MkOhRPMfu1168klp551zew0AAACggrC9CYpKMNgyImRKUiwWV1tbl4LBltxe8KmnpN//PnF+xRVjhkxLRlwBAACAMsWIJvLO4wmqoyOS8n63u0bt7f7cXOzNN6VttpGiUXN+4omJvTNTsGTEFQAAACgxjGiiqHR29mR1f9o6OqRf/CIRMvfdV7r44jGfVvARVwAAAKDMETSRdy5XdVb3p6WnR9pjD2nBAnP+k59It91m1meOIRRqHREyB8RicYVCrdnXBwAAAFQQgibyzudrkN1uS3qf3W6Tz9eQ3QWWLJH2399Mm5WktdYyHWanTEnr6QUbcQUAAAAqBEETeef3N6q+vm5E2BxYA+n3N47/xeNxadYs0wBIMtuXPPGEtMoqab9EQUZcAQAAgApC0ETeOZ1VCodnKBDwyu2ukd1uk9tdo0DAm32jnYsvNluZSNLEidJDD0kbbpjRS+R9xBUAAACoMHSdRel66CHT8GfA7bdLBx+c8cvQdRYAAAAYG11nUf4++kg64ojEeXPzuEKmlOcRVwAAAKACMaKJ0tPXZ/bKfO01c77//tLdd0u25NNfAQAAAGSPEU2Ut1NPTYTMddaRbriBkAkAAAAUEYImcioa7VNzc1geT1AOx2x5PEE1N4cVjfbl5gKPPCIFg+a4qkq6915pjE9T8l4TAAAAgGGYOoucyXtTnU8+kerrpa+/NudXXCH94Q/W1gQAAABUCKbOwhLBYMuIQCdJsVhcbW1dCgZbxv/iixdLBxyQCJn77isde6y1NQEAAABIiqCJnAmFWkcEugGxWFyhUOv4X7ypSWr5IRSuuaZ0001prcvMa00AAAAAkiJoImc6O3uyuj+lJ5+ULrzQHE+YYDrMLrectTUBAAAASImgiZxxuaqzuj+pBQukww5LnF94ofSTn1hbEwAAAIBRETSRMz5fg+z25NNZ7XabfL6GzF5wyRLpoIOkL74w53vsIfn9oz5l6Q6zkUhvyhm246oJAAAAwJgImsgZv79R9fV1I8LmQIfXmTOnZ7bNyNVXSy++aI49HmnOnFHXZQ50mA0EwuroiCgWiysS6VWyvsoDNfn9jeP80wIAAABIhe1NkFPRaJ+CwRaFQq3q7OyRy1Utn69BM2dO1y9+cWf624x89ZW07rqDXWb3XflYPfzlyoOv5/c3jtiWpLk5rEAgnLT5j80mVVdXKRpdPOprAAAAAEgukzxF0ERBjBYC7XabAgGvmpq8iRuPP97skynpNm2uw7TPsMcnC6ceT1AdHZGUNbjdNWpvH33qLQAAAIDk2EcTRSejbUbmz5euuUaS9K0m6jTtMOLxyfbApMMsAAAAUBwImiiIjELgn/5kGgFJukhbaYFqRzw+2R6YdJgFAAAAigNBEwWRdgh8/nnp0UclSQtUrYu1dcrnLB1ec971FgAAAMC4EDRREGmFwP5+6cQTB2+/ePk99K1SN+tZOryO1fWWDrMAAABAYRA0URBphcCbb5beesvcMX26Vjx+ZkYjlE5nlcLhGQoEvHK7a2S32+R21ygQ8I7sagsAAAAgb+g6i4JJtfWJ398oZ+x7ab31pM8+kyTN+e0VOuOpxUnXdqbcEgUAAABA3rC9SQoEzSJ22mnSBRdIkp5brkG7RPZK2qXW5arW0UdPZw9MAAAAoMAyyVMTClQTkNp//ysFg5KkJY6JOrr7Z4ol+fzDbrfp6KOnD99vEwAAAEDRYY0mrHfqqVJvryTphsnb6D/x5ZM+LNmWJgAAAACKD0ET1vrnP6V77jHHK6+s0xf9dNSHj7UfJwAAAADrETRhnVhM8vsT57Nnyzl15VGfMtZ+nAAAAACsR9CEdZ56Snr1VXO8ySbSkUemt98mAAAAgKJG0IR1rrgicXzOOdKECenttwkAAACgqBE0YY3586WnnzbHa64p7bmnJMnprFI4PEOBgFdud43sdpvc7hoFAl72zQQAAABKBNubwBpXXZU4PvZYyeEYPHU6q9TU5GUbEwAAAKBEMaKJwotEpDlzzPGUKdJvf2tpOQAAAAByi6CJwpszR4pGzfGhh0rLJ983EwAAAEBpImiisGKx4dNm//AH62oBAAAAkBcETRTW009LH3xgjnfYwWxrAgAAAKCsEDRRWFdemTg+7jjr6gAAAACQNwRNFM7770tPPmmO11xT2mMPS8sBAAAAkB8ETRTO1VcnjmfNGralCQAAAIDyQdBEYfT0SLfcYo4nT2ZLEwAAAKCMETRRGLfeasKmZLY0WWEFa+sBAAAAkDcETeRfLDa8CVAOtjSJRvvU3ByWxxOUwzFbHk9Qzc1hRaN9Wb82AAAAgOyUXNDs7e1VfX29bDab2trarC4H6Xj2WdMISJK2317adNOsXi4a7ZPXO0eBQFgdHRHFYnF1dEQUCITl9c4hbAIAAAAWK7mgefLJJ8vlclldBjJxxRWJ4xxsaRIMtqitrUuxWHzY7bFYXG1tXQoGW7K+BgAAAIDxK6mg+eSTT+qZZ57RJZdcYnUpSNcHH0hPPGGO11hD2nPPrF8yFGodETIHxGJxhUKtWV8DAAAAwPhNsLqAdC1cuFAzZ87U3LlzNWXKlLSe09vbq97e3sHzSCSSr/KQSh62NOns7MnqfgAAAAD5VRIjmvF4XDNmzNDRRx+tLbfcMu3nnX/++aqtrR388ng8eawSI3z77fAtTX73u5y8rMtVndX9AAAAAPLL0qB56qmnymazjfr13nvv6corr1RPT49OO+20jF7/tNNOU3d39+BXe3t7nv4kSOrxx6WBUeQDDsjZliY+X4PsdlvS++x2m3y+hpxcBwAAAMD42OLxePLFbgXw+eef68svvxz1MWuvvbb2339/Pfroo7LZEuGiv79fDodDBx98sG699da0rheJRFRbW6vu7m7V1NRkVTvSsO++0kMPmePnn5d22CEnLzvQdXbphkB2u0319XUKh2fI6azKybUAAAAAGJnkKUuDZro++eSTYesrOzs7tcsuu+j+++/XT37yE7nd7rReh6BZQN3d0qqrSr29Ul2d1NGRk/WZA6LRPgWDLQqFWtXZ2SOXq1o+X4P8/kZCJgAAAJAHmeSpkmgGtPrqqw87dzqdkqR11lkn7ZCJAps714RMSdp//5yGTElyOqvU1ORVU5M3p68LAAAAIHsl0QwIJeiuuxLHBxyQ9CHRaJ+am8PyeIJyOGbL4wmquTmsaLSvQEUCAAAAyIeSmDqbK0ydLZDPP5dWW03q75fWXFP66CPJNrx5D+ssAQAAgNKSSZ5iRBO5d//9JmRKZjTTNrJDbDDYMiJkSlIsFldbW5eCwZZCVAoAAAAgDwiayL00ps2GQq0jQuaAWCyuUKg1H5UBAAAAKACCJnKro0P6+9/N8UYbSdOmJX1YZ2fPqC8z1v0AAAAAihdBE7l1zz2J4xTTZiXJ5aoe9WXGuh8AAABA8SJoIrfuvjtxnGLarCT5fA2y25OHULvdJp+vIdeVAQAAACgQgiZy54MPpH/9yxw3NEjrr5/yoX5/o+rr60aEzYGus35/Yz4rBQAAAJBHBE3kztDRzAMPHPWhTmeVwuEZCgS8crtrZLfb5HbXKBDwsrUJAAAAUOLYRxO5EY9Lm2wivfuuOf/kE8njsbYmAAAAADnDPpoovHnzEiFzm20ImQAAAEAFI2giN4bunTnGtFkAAAAA5Y2giezF44n1mQ6H9OtfW1sPAAAAAEsRNJG9V16R/vtfc7zjjtIqq1haDgAAAABrETSRvQy6zQIAAAAofwRNZKe/X7rnHnNcVSXtvbel5QAAAACwHkETkqRotE/NzWF5PEE5HLPl8QTV3BxWNNo3+hPDYamryxzvvru03HJ5rxUAAABAcZtgdQGwXjTaJ693jtrauhSLmW1VOzoiCgTCmjt3vsLhGXI6q5I/eei02QMOKEC1AAAAAIodI5pQMNgyLGQOiMXiamvrUjDYkvyJS5ZIDz5ojpddVtpjjzxXCgAAAKAUEDShUKh1RMgcEIvFFQq1Jn/iP/8pffmlOd5tNxM2AQAAAFQ8gibU2dkzvvsffjhxvNdeOawIAAAAQCkjaEIuV3Xm98fjiaDpcJhGQAAAAAAggiYk+XwNstttSe+z223y+RpG3vHvf0v/+Y853nZbaYUV8lghAAAAgFJC0IT8/kbV19eNCJt2u0319XXy+xtHPumRRxLHTJsFAAAAMARBE3I6qxQOz1Ag4JXbXSO73Sa3u0aBgDf11iZD12f+8peFKxYAAABA0bPF4/Hk7UbLUCQSUW1trbq7u1VTU2N1OaXr008ll8scb7aZ9NZb1tYDAAAAIO8yyVOMaCJzjz6aOGbaLAAAAIClEDQxQjTap+bmsDyeoByO2fJ4gmpuDisa7TMPYH0mAAAAgFEwdRbDRKN98nrnqK2tS7FY4kdjoDFQ+PFfy7mmS+rtNdNnOzokW/KOtWNdJxhsUSjUqs7OHrlc1fL5GuT3NyZfEwoAAADAUkydxbgFgy0jQqYkxWJxtbV16Un/1SZkSqYJ0DhDptc7R4FAWB0dEcVicXV0RBQIhOX1zkmMnAIAAAAoSQRNDBMKtY4ImQNisXhOps2OFWaDwZZxvS4AAACA4kDQxDCdnT0p73OoX9t/+29zUl0tbb/9uK4xVpgNhVrH9boAAAAAigNBE8O4XNUp79tK7VpJ35qTXXeVJk0adv+YTYR+MFqYTed+AAAAAMWNoIlhfL4G2e3J113urfmJk1/+cth9may7HC3MpnM/AAAAgOJG0MQwfn+j6uvrRoRNu03ab9KH5sThkHbffdj9may7HC3M2u02+XwNOfiTAAAAALAKQRPDOJ1VCodnKBDwyu2ukd1uk9tdo6tnrSFP7+fmQdtuK62wwrDnZbLuMmWY/WELFb+/Mbd/KAAAAAAFRdDECE5nlZqavGpv96u//0y1t/t1tOvTxAOSdJvNZN1lqjAbCHgVDs9gH00AAACgxE2wugCUiIcfThwvtT5TMusqOzoiKZ++9LrLgTDb1OTNWYkAAAAAigMjmhjbp59Kr7xijjfbTFprrREPYd0lAAAAgAEETYzt0UcTx0mmzUqsuwQAAACQQNDE2B55JHGcImiy7hIAAADAAFs8Hk/eKrQMRSIR1dbWqru7WzU1NVaXUxqiUWmllaTeXsnlkjo6JFvyKbIAAAD/3979R0dd3fkff80EEtBhAgIhpBmRKMatIiGhsKHVAaUEFCHVdbfWWtIvS9TFnprt2qXtWiI5rfXHcTzt4VTTrnDq2e0PWwUFFxSQQSRSShhAVAREJIQAgmQy5UeAud8/xvwiv5PJfObH83HOnHMzn88nvCc3k+F17v3cCyB+dSdPMaKJjr3xRihkSqFFgAiZAAAAADpB0ETHujBtFgAAAACaI2iifRcvSqtWhdoOhzR1qrX1AAAAAIgJBE207913pc8+C7ULCqSUFGvrAQAAABATCJpoX/NtTe64w7o6AAAAAMSUflYXgOgRCNTL46lQeXmlqqvr9L59mbIlGZtNtttus7o8AAAAADGCoAlJoZDpdi+Tz1ejYNBotE4qO3hUkrTjsixdMzBVDotrBAAAABAbmDoLSZLHU9EYMiXpDn3UeOxPp6+Sx1NhVWkAAAAAYgxBE5Kk8vLKxpApSXdoT2P7VXOtyssrrSgLAAAAQAxi6iwkSdXVdY1tp87KrYOSpAMarN1Kk73ZcQAAAADoCCOakCRlZAxqbBdon/orKEl6TddKsrU4DgAAAAAdIWhCklRcnCu73SZJmtXs/szXlC273abi4lyrSgMAAAAQYwiakCTNn5+nlJQk2RXUbdorSfIrWV6NUkpKkubPz7O4QgAAAACxgqAJSdJvfrNNZ89eUL4OaZjOSJLW6BqdVz+dPXtBv/nNthbnBwL1KivzyuXyKClpsVwuj8rKvAoE6q0oHwAAAEAUIWhCUmjVWWNabmsSuj9TMkYtVp1t2HOztNSrqiq/gkGjqiq/Sku9cruXETYBAACABEfQhKSmVWcbtjW5KJte15hWx6XWe242CAaNfL4a9twEAAAAEhxBE5JCq85m6aS+rM8kSRXK1Ald3uJ4g0v33GwuGDTsuQkAAAAkOIImJIVWnZ1ta7nabINLV52t7mRPzc6OAwAAAIhvBE1IkkpK8nWP40Dj1w33Z9rtNuXkpKukJL/xWGd7arLnJgAAAJDYCJqQJDkuntFXzuyXJB1MGqo9tjRlZjpVWuqW11skhyO58dzme25eij03AQAAAPSzugBEidWrZbtwQZI06qFv6+Kzi9o9taQkX8uX72m1IFBbo58AAAAAEg8jmgh57bWm9h13dHiqw5Esr7dIpaVuZWY6Zbfb2h39BAAAAJB4bMaYtpcPjUN+v1+pqamqra2V0+m0upzoceGClJYmff655HRKx49LyYRFAAAAAE26k6cY0YS0eXMoZErSjBmETAAAAAC9QtBEt6bNAgAAAEBnCJpoCpp2uzRzprW1AAAAAIh5BM1Et3evtGdPqP3Vr0pDh1pbDwAAAICYR9BMdM2nzc6aZV0dAAAAAOIGQTPRvfpqU5v7MwEAAACEAUEzkX32mfT226H2tddK//AP1tYDAAAAIC4QNBPZqlVSMBhqz5ljbS0AAAAA4gZBM5GtWNHULiy0rAwAAAAA8YWgmajOnJHWrAm109IUuH68ysq8crk8SkpaLJfLo7IyrwKBemvrBAAAABBz+lldACyydq10+rQk6fyM2+W+5UX5fDUKBo0kqarKr9JSr5Yv3yOvt0gOR7KV1QIAAACIIYxoJqrlyxubf7kwpkXIbBAMGvl8NfJ4KiJcHAAAAIBYRtBMRBcvNu2fedlletRrbxUyGwSDRuXllREsDgAAAECsI2gmonfflY4fD7ULCvTxkXMdnl5dXReBogAAAADEC4JmImo2bVZz5igjY1CHp3d2HAAAAACaI2gmGmOatjWx26VZs1RcnCu73dbm6Xa7TcXFuREsEAAAAECsI2gmmg8/lPbuDbVvukkaOlQlJfnKyUlvFTbtdptyctJVUpJvQaEAAAAAYhVBM9FcMm1WkhyOZHm9RSotdSsz0ym73abMTKdKS91sbQIAAACg22zGmLaXG41Dfr9fqampqq2tldPptLoca/zjP0pbtoTa+/dLWVnW1gMAAAAgJnQnTzGimUiOHGkKmWPHEjIBAAAA9AmCZiJ59dWm9hfTZgEAAAAg3AiaiaRhtVlJKiy0rAwAAAAA8Y2gmSjq6qR160LtzEwply1LAAAAAPQNgmaiWL1aqq8PtWfPlmxt75sJAAAAAL1F0EwUzafNcn8mAAAAgD5E0EwE589Lq1aF2k6nNGWKpeUAAAAAiG8EzUSwcaN06lSofdttUnKypeUAAAAAiG8EzSgQCNSrrMwrl8ujpKTFcrk8KivzKhCoD88/wLRZAAAAABFkM8YYq4uIFL/fr9TUVNXW1srpdFpdjqRQyHS7l8nnq1Ew2NQVdrtNOTnp8nqL5HD0YgTSGOmqq6RPP5X695eOH5dSU3tfOAAAAICE0p08xYimxTyeilYhU5KCQSOfr0YeT0Xv/gGfLxQyJWnqVEImAAAAgD5H0LRYeXllq5DZIBg0Ki+v7HBqbafTbpk2CwAAACDCmDprsaSkxe0GTalpCm1bU2vHjk2TzSbt3Hms/Wm3N/+jtH176MChQ1JmZp+9FgAAAADxK26nzq5atUqTJk3SwIEDNWTIEBUWFlpdUq9lZAzq8LjD0b/dqbU7dx7Vjh1H2512+9+LljeFzLw8QiYAAACAiIiZoPmXv/xF9913n7773e9qx44deuedd/Stb33L6rJ6rbg4V3a7rc1joedt7Y54GhN6tCUYNDr+wh+bnpg9u5eVAgAAAEDXxMTU2QsXLuiqq67SY489pnnz5vX4+0Tj1NnOVp3dvv1Iu2GyM2/oRX1d+0Nf+HzSuHG9LxgAAABAQoq7qbOVlZU6fPiw7Ha7xo8fr5EjR2rmzJl67733Orzu3Llz8vv9LR7RxuFIltdbpNJStzIznbLbbcrMdKq01C2vt0hf+lLPArFTZ+XWJ6EvRo2SbrwxfEUDAAAAQAdiImh+/PHHkqTS0lL913/9l1auXKkhQ4ZoypQpOnnyZLvXPf7440pNTW18uFyuSJXcLQ5Hsh591K1Dh0p08eJPdehQiR591C2HI7nDqbU2W+jRltts+5Wsi6EvZs9u/0QAAAAACDNLg+bChQtls9k6fHz44YcKBoOSpJ/85Ce66667lJeXp6VLl8pms+mll15q9/v/6Ec/Um1tbePj0KFDkXppYVNSkq+cnPRWYdNut+nGG0do3LgRbR6bO/iTpifY1gQAAABABPWz8h//wQ9+oKKiog7PycrK0pEjRyRJX/7ylxufT0lJUVZWlj799NN2r01JSVFKSkpYarVKw9Raj6dC5eWVqq6uU0bGIBUX56qkJF+SWh17YN6NKnj2mdA3SE2Vbr7ZwlcAAAAAINHExGJAfr9faWlpWrJkSeNiQOfPn1dmZqbKyspUXFzc5e8TbYsB9Yl166Rp00Lte+6R/vd/ra0HAAAAQMzrTp6ydESzq5xOpx544AEtWrRILpdLo0aN0lNPPSVJuvvuuy2uLgq9+mpTm2mzAAAAACIsJoKmJD311FPq16+f7rvvPp05c0aTJk3S+vXrNWTIEKtLiy7GSCtWhNr9+0szZlhbDwAAAICEExNTZ8MlIabO7tzZtF/m178uvfGGtfUAAAAAiAtxt48muqFhNFNi2iwAAAAASxA0403zoHnHHdbVAQAAACBhETTjSVWVtG1bqD1+vHTlldbWAwAAACAhETTjyWuvNbVnz25sBgL1KivzyuXyKClpsVwuj8rKvAoE6i0oEgAAAEC8i5lVZ9EFbWxrEgjUy+1eJp+vRsFgaN2nqiq/Sku9Wr58j7zeIjkcyVZUCwAAACBOMaIZL+rqpPXrQ22XS8rJkSR5PBUtQmaDYNDI56uRx1MR4UIBAAAAxDuCZrxYvVqq/2Iq7OzZks0mSSovr2wVMhsEg0bl5ZWRqhAAAABAgiBoxos2ps1KUnV1XYeXdXYcAAAAALqLoBkPzp+XVq0KtZ1Oye1uPJSRMajDSzs7DgAAAADdRdCMB++8I33+eag9c6aU3LS4T3Fxrux2W5uX2e02FRfnRqJCAAAAAAmEoBkPVqxoajebNitJJSX5yslJbxU27XabcnLSVVKSH4kKAQAAACQQgmasM6YpaPbrFxrRbMbhSJbXW6TSUrcyM52y223KzHSqtNTN1iYAAAAA+oTNGNP2kqRxyO/3KzU1VbW1tXI6nVaXEx67d0s33BBq33qrtHattfUAAAAAiEvdyVOMaMa61aub2rNmWVcHAAAAAHyBoBnr1qxpas+YYV0dAAAAAPAFgmYsO31a2rgx1B41SsrOtrYeAAAAABBBM7Z5vdK5c6F2QYFka3sbEwAAAACIJIJmFAgE6lVW5pXL5VFS0mK5XB6VlXkVCNR3fGHz+zMLCvq2SAAAAADoIladtVggUC+3e5l8vhoFg01d0bDPZYdbkFx3nbRnj5SUJJ04IaWmRqhqAAAAAImGVWdjiMdT0SpkSlIwaOTz1cjjqWj7wk8+CYVMScrPJ2QCAAAAiBoETYuVl1e2CpkNgkGj8vLKti9ktVkAAAAAUYqgabHq6rqeHef+TAAAAABRiqBpsYyMQd0/fv68tG5dqD1smJSb2weVAQAAAEDPEDQtVlycK7u97W1J7HabiovbCJEVFVLdFyOd06dLdroRAAAAQPQgoVispCRfOTnprcJmw6qzJSX5rS/i/kwAAAAAUYygaTGHI1leb5FKS93KzHTKbrcpM9Op0lJ3+1ubNL8/c/r0yBULAAAAAF3APpqx5tgxacSIUHv8eKmynVVpAQAAACCM2Ecznr3xRlOb1WYBAAAARCGCZqzh/kwAAAAAUY6gGUuCwaag6XBI+W0sFAQAAAAAFiNoxhKfTzp+PNS+5RYpuY2FggAAAADAYgTNWNJ8tVmmzQIAAACIUgTNWNL8/kwWAgIAAAAQpQiascLvlzZvDrXHjJGysqytBwAAAADaQdCMFevXSxcuhNqMZgIAAACIYgTNWMH9mQAAAABiBEEzFhjTdH9mcrI0ZYql5QAAAABARwiaseCjj6RPPgm1b7pJuvxyS8sBAAAAgI4QNGMBq80CAAAAiCEEzVjQzv2ZgUC9ysq8crk8SkpaLJfLo7IyrwKBeguKBAAAAIAQmzHGWF1EpPj9fqWmpqq2tlZOp9Pqcrrm9Glp2DDpzBkpI0OqqpJsNgUC9XK7l8nnq1Ew2NSFdrtNOTnp8nqL5HAkW1g4AAAAgHjSnTzFiGa0W7MmFDIlaeZMyWaTJHk8Fa1CpiQFg0Y+X408nopIVwoAAAAAkgia0e8vf2lq/9M/NTbLyytbhcwGwaBReXllX1cGAAAAAG0iaEazc+ek114LtVNTpVtuaTxUXV3X4aWdHQcAAACAvkLQjGZr10p+f6g9e3ZoD80vZGQM6vDSzo4DAAAAQF8haEazdqbNSlJxca7sdlubl9ntNhUX5/ZlZQAAAADQLoJmtDp/Xlq+PNR2OKTp01scLinJV05Oequw2bDqbElJfoQKBQAAAICWCJrRasMG6fPPQ+3bb5cGDGhx2OFIltdbpNJStzIznbLbbcrMdKq01M3WJgAAAAAs1c/qAtCODqbNNnA4kvXoo249+qg7QkUBAAAAQOcY0YxGFy9Kr7wSag8cGNo/EwAAAABiBEEzGm3aJB07FmrPnCldfrm19QAAAABANxA0o1HzabN33WVdHQAAAADQAwTNaBMMNgXN5GRp1ixr6wEAAACAbiJoRpstW6Tq6lB7+nTJ6bS2HgAAAADoJoJmtGHaLAAAAIAYR9CMJsZIf/5zqN2vnzR7trX1AAAAAEAPEDSjSWWldPBgqH3LLQokO1RW5pXL5VFS0mK5XB6VlXkVCNRbWycAAAAAdKCf1QWgmWbTZs/ePkdu9zL5fDUKBo0kqarKr9JSr5Yv3yOvt0gOR7JVlQIAAABAuxjRjBbNp83a7VpyOKNFyGwQDBr5fDXyeCosKBIAAAAAOkfQjBbvvSft3Rtq33yznv3fA61CZoNg0Ki8vDKCxQEAAABA1xE0o8Ulq81WV9d1eHpnxwEAAADAKgTNaNEwbVaSvvENZWQM6vD0zo4DAAAAgFUImtFgzx5p9+5Qe/Jk6UtfUnFxrux2W5un2+02FRfnRrBAAAAAAOg6gmY0uGTarCSVlOQrJye9Vdi0223KyUlXSUl+JCsEAAAAgC4jaEaD5tNm77xTkuRwJMvrLVJpqVuZmU7Z7TZlZjpVWupmaxMAAAAAUc1mjGl7adM45Pf7lZqaqtraWjmdTqvLCTl2THK5pPp6acIEaetWqysCAAAAgFa6k6f6RagmtCctTTp6VFq5Urr8cqurAQAAAIBeI2hGg8GDpW9/2+oqAAAAACAsuEcTAAAAABBWBE0AAAAAQFgRNAEAAAAAYUXQBAAAAACEFUEzygQC9Sor88rl8igpabFcLo/KyrwKBOqtLg0AAAAAuoR9NKNIIFAvt3uZfL4aBYNN3WK325STky6vt0gOR7KFFQIAAABIVN3JU4xoRpEnntik7duPtAiZkhQMGvl8NfJ4KiyqDAAAAAC6jqAZJWpqAvr5zzepvfHlYNCovLwyskUBAAAAQA8QNKNAIFCv3NznW41kXqq6ui5CFQEAAABAzxE0o4DHU6EjRwKdnpeRMSgC1QAAAABA7xA0o0BXp8QWF+f2cSUAAAAA0HsEzSjQlSmx/fvbVVKSH4FqAAAAAKB3CJpRoCtTYn/4w8lsbQIAAAAgJhA0o0Bxca7sdlu7x0eOdGjhwpsiWBEAAAAA9BxBMwqUlOQrJye9zbA5cqRDlZX3M5oJAAAAIGYQNKOAw5Esr7dIpaVuZWY6ZbfblJnp1OLFU/TRR99TerrD6hIBAAAAoMtsxpiON2+MI36/X6mpqaqtrZXT6bS6HAAAAACIGd3JU4xoAgAAAADCiqAJAAAAAAgrgiYAAAAAIKwImgAAAACAsCJoRoFAoF5lZV65XB4lJS2Wy+VRWZlXgUC91aUBAAAAQLex6qzFAoF63XTTC9qx46ia94TNJo0bN0Jvv/3/2EMTAAAAgOVYdTaGPPHEJvl8LUOmJBkj+XxH9cQTm6wpDAAAAAB6iKBpsV/+ckuvjgMAAABAtCFoWszv7/g+zM6OAwAAAEC0IWgCAAAAAMIqZoLmRx99pDlz5mjYsGFyOp362te+prfeesvqsnrN6Uzp1XEAAAAAiDYxEzRnzZqlCxcuaP369dq2bZvGjRunWbNmqaamxurSeuV73/tKr44DAAAAQLSJie1NPvvsMw0fPlwbN27UTTfdJEmqq6uT0+nUm2++qWnTpnXp+0Tr9iZf+9oL2rmz9fYmN944Qps2sb0JAAAAAOt1J0/1i1BNvTJ06FBlZ2frd7/7nXJzc5WSkqLnn39eaWlpysvLa/e6c+fO6dy5c41f19bWSgr9gKLJ66//k5Ys+auWLduhI0fqNHLkIBUVjdOCBRMVDJ6V33/W6hIBAAAAJLiGHNWVscqYGNGUpKqqKhUWFqqyslJ2u11paWlatWqVxo8f3+41paWleuyxxyJYJQAAAADEt0OHDikzM7PDcywNmgsXLtQTTzzR4TkffPCBsrOzVVhYqPPnz+snP/mJBg4cqN/+9rd69dVXtXXrVo0cObLNay8d0QwGgzp58qSGDh0qm80W1tfSW36/Xy6XS4cOHYqaab2JhJ+/9egD69EH1qMPrEcfWI8+sB59YL1o7QNjjOrq6pSRkSG7vePlfiwNmsePH9eJEyc6PCcrK0tvv/22pk+frs8//7zFD3rMmDGaN2+eFi5c2Nel9rlovH80kfDztx59YD36wHr0gfXoA+vRB9ajD6wXD31g6T2aw4cP1/Dhwzs97/Tp05LUKjXb7XYFg8E+qQ0AAAAA0DMxsb1Jfn6+hgwZorlz52rHjh366KOP9Mgjj+jAgQO6/fbbrS4PAAAAANBMTATNYcOGafXq1QoEArrllls0YcIEbdq0SStWrNC4ceOsLi8sUlJStGjRIqWkpFhdSkLi5289+sB69IH16APr0QfWow+sRx9YLx76IGZWnQUAAAAAxIaYGNEEAAAAAMQOgiYAAAAAIKwImgAAAACAsCJoAgAAAADCiqBpgU8++UTz5s3T6NGjNXDgQF199dVatGiR6uvrO7zu7NmzWrBggYYOHSqHw6G77rpLR48ejVDV8ednP/uZJk+erMsuu0yDBw/u0jVFRUWy2WwtHjNmzOjbQuNYT/rAGKOf/vSnGjlypAYOHKhp06Zp7969fVtoHDt58qTuvfdeOZ1ODR48WPPmzVMgEOjwmilTprR6HzzwwAMRqjj2LVmyRFdddZUGDBigSZMm6a9//WuH57/00ku67rrrNGDAAI0dO1avv/56hCqNX93pg2XLlrX6fR8wYEAEq40vGzdu1B133KGMjAzZbDYtX76802s2bNig3NxcpaSk6JprrtGyZcv6vM541t0+2LBhQ6v3gM1mU01NTWQKjkOPP/64vvKVr2jQoEFKS0tTYWGh9uzZ0+l1sfZ5QNC0wIcffqhgMKjnn39eu3fvlsfj0XPPPacf//jHHV5XUlKi1157TS+99JK8Xq+qq6t15513Rqjq+FNfX6+7775bDz74YLeumzFjho4cOdL4+P3vf99HFca/nvTBk08+qV/+8pd67rnntGXLFl1++eUqKCjQ2bNn+7DS+HXvvfdq9+7devPNN7Vy5Upt3LhRxcXFnV43f/78Fu+DJ598MgLVxr4//vGP+vd//3ctWrRIlZWVGjdunAoKCnTs2LE2z9+8ebPuuecezZs3T9u3b1dhYaEKCwv13nvvRbjy+NHdPpAkp9PZ4vf94MGDEaw4vvz973/XuHHjtGTJki6d37Bn+tSpU+Xz+fTwww/rX//1X7VmzZo+rjR+dbcPGuzZs6fF+yAtLa2PKox/Xq9XCxYs0Lvvvqs333xT58+f1/Tp0/X3v/+93Wti8vPAICo8+eSTZvTo0e0eP3XqlOnfv7956aWXGp/74IMPjCRTUVERiRLj1tKlS01qamqXzp07d66ZM2dOn9aTiLraB8Fg0KSnp5unnnqq8blTp06ZlJQU8/vf/74PK4xP77//vpFktm7d2vjc//3f/xmbzWYOHz7c7nVut9t8//vfj0CF8WfixIlmwYIFjV9fvHjRZGRkmMcff7zN8//5n//Z3H777S2emzRpkrn//vv7tM541t0+6M5nBLpHknnllVc6POeHP/yhuf7661s89y//8i+moKCgDytLHF3pg7feestIMp9//nlEakpEx44dM5KM1+tt95xY/DxgRDNK1NbW6oorrmj3+LZt23T+/HlNmzat8bnrrrtOV155pSoqKiJRIr6wYcMGpaWlKTs7Ww8++KBOnDhhdUkJ48CBA6qpqWnxPkhNTdWkSZN4H/RARUWFBg8erAkTJjQ+N23aNNntdm3ZsqXDa//nf/5Hw4YN0w033KAf/ehHOn36dF+XG/Pq6+u1bdu2Fr+/drtd06ZNa/f3t6KiosX5klRQUMDvew/1pA8kKRAIaNSoUXK5XJozZ452794diXIh3gPRJCcnRyNHjtTXv/51vfPOO1aXE1dqa2slqcMsEIvvhX5WFwBp3759+tWvfqWnn3663XNqamqUnJzc6j62ESNGMEc+gmbMmKE777xTo0eP1v79+/XjH/9YM2fOVEVFhZKSkqwuL+41/K6PGDGixfO8D3qmpqam1dSnfv366Yorrujw5/mtb31Lo0aNUkZGhnbu3Kn//M//1J49e/Tyyy/3dckx7bPPPtPFixfb/P398MMP27ympqaG3/cw6kkfZGdn64UXXtCNN96o2tpaPf3005o8ebJ2796tzMzMSJSd0Np7D/j9fp05c0YDBw60qLLEMXLkSD333HOaMGGCzp07p9/+9reaMmWKtmzZotzcXKvLi3nBYFAPP/ywvvrVr+qGG25o97xY/DxgRDOMFi5c2ObN0s0fl36QHT58WDNmzNDdd9+t+fPnW1R5/OhJH3THN7/5Tc2ePVtjx45VYWGhVq5cqa1bt2rDhg3hexExrq/7AJ3r6z4oLi5WQUGBxo4dq3vvvVe/+93v9Morr2j//v1hfBVAdMjPz9d3vvMd5eTkyO126+WXX9bw4cP1/PPPW10aEBHZ2dm6//77lZeXp8mTJ+uFF17Q5MmT5fF4rC4tLixYsEDvvfee/vCHP1hdStgxohlGP/jBD1RUVNThOVlZWY3t6upqTZ06VZMnT1Z5eXmH16Wnp6u+vl6nTp1qMap59OhRpaen96bsuNLdPuitrKwsDRs2TPv27dOtt94atu8by/qyDxp+148ePaqRI0c2Pn/06FHl5OT06HvGo672QXp6eqsFUC5cuKCTJ0926+/KpEmTJIVmZ1x99dXdrjdRDBs2TElJSa1WC+/o73h6enq3zkfHetIHl+rfv7/Gjx+vffv29UWJuER77wGn08lopoUmTpyoTZs2WV1GzHvooYcaF+LrbIZELH4eEDTDaPjw4Ro+fHiXzj18+LCmTp2qvLw8LV26VHZ7x4PLeXl56t+/v9atW6e77rpLUmj1r08//VT5+fm9rj1edKcPwqGqqkonTpxoEXoSXV/2wejRo5Wenq5169Y1Bku/368tW7Z0e/XgeNbVPsjPz9epU6e0bds25eXlSZLWr1+vYDDYGB67wufzSRLvg04kJycrLy9P69atU2FhoaTQlKl169bpoYceavOa/Px8rVu3Tg8//HDjc2+++SZ/93uoJ31wqYsXL2rXrl267bbb+rBSNMjPz2+1hQPvAev5fD7+5veCMUbf+9739Morr2jDhg0aPXp0p9fE5OeB1asRJaKqqipzzTXXmFtvvdVUVVWZI0eOND6an5OdnW22bNnS+NwDDzxgrrzySrN+/Xrzt7/9zeTn55v8/HwrXkJcOHjwoNm+fbt57LHHjMPhMNu3bzfbt283dXV1jedkZ2ebl19+2RhjTF1dnfmP//gPU1FRYQ4cOGDWrl1rcnNzzZgxY8zZs2etehkxrbt9YIwxv/jFL8zgwYPNihUrzM6dO82cOXPM6NGjzZkzZ6x4CTFvxowZZvz48WbLli1m06ZNZsyYMeaee+5pPH7p36J9+/aZxYsXm7/97W/mwIEDZsWKFSYrK8vcfPPNVr2EmPKHP/zBpKSkmGXLlpn333/fFBcXm8GDB5uamhpjjDH33XefWbhwYeP577zzjunXr595+umnzQcffGAWLVpk+vfvb3bt2mXVS4h53e2Dxx57zKxZs8bs37/fbNu2zXzzm980AwYMMLt377bqJcS0urq6xr/1kswzzzxjtm/fbg4ePGiMMWbhwoXmvvvuazz/448/Npdddpl55JFHzAcffGCWLFlikpKSzOrVq616CTGvu33g8XjM8uXLzd69e82uXbvM97//fWO3283atWutegkx78EHHzSpqalmw4YNLXLA6dOnG8+Jh88DgqYFli5daiS1+Whw4MABI8m89dZbjc+dOXPG/Nu//ZsZMmSIueyyy8w3vvGNFuEU3TN37tw2+6D5z1ySWbp0qTHGmNOnT5vp06eb4cOHm/79+5tRo0aZ+fPnN/7nBN3X3T4wJrTFyaOPPmpGjBhhUlJSzK233mr27NkT+eLjxIkTJ8w999xjHA6HcTqd5rvf/W6LoH/p36JPP/3U3HzzzeaKK64wKSkp5pprrjGPPPKIqa2ttegVxJ5f/epX5sorrzTJyclm4sSJ5t1332085na7zdy5c1uc/6c//clce+21Jjk52Vx//fVm1apVEa44/nSnDx5++OHGc0eMGGFuu+02U1lZaUHV8aFhq4xLHw0/87lz5xq3293qmpycHJOcnGyysrJafCag+7rbB0888YS5+uqrzYABA8wVV1xhpkyZYtavX29N8XGivRzQ/Hc7Hj4PbMYY05cjpgAAAACAxMKqswAAAACAsCJoAgAAAADCiqAJAAAAAAgrgiYAAAAAIKwImgAAAACAsCJoAgAAAADCiqAJAAAAAAgrgiYAAAAAIKwImgAAAACAsCJoAgAAAADCiqAJAAAAAAgrgiYAABY6fvy40tPT9fOf/7zxuc2bNys5OVnr1q2zsDIAAHrOZowxVhcBAEAie/3111VYWKjNmzcrOztbOTk5mjNnjp555hmrSwMAoEcImgAARIEFCxZo7dq1mjBhgnbt2qWtW7cqJSXF6rIAAOgRgiYAAFHgzJkzuuGGG3To0CFt27ZNY8eOtbokAAB6jHs0AQCIAvv371d1dbWCwaA++eQTq8sBAKBXGNEEAMBi9fX1mjhxonJycpSdna1nn31Wu3btUlpamtWlAQDQIwRNAAAs9sgjj+jPf/6zduzYIYfDIbfbrdTUVK1cudLq0gAA6BGmzgIAYKENGzbo2Wef1Ysvviin0ym73a4XX3xRb7/9tn79619bXR4AAD3CiCYAAAAAIKwY0QQAAAAAhBVBEwAAAAAQVgRNAAAAAEBYETQBAAAAAGFF0AQAAAAAhBVBEwAAAAAQVgRNAAAAAEBYETQBAAAAAGFF0AQAAAAAhBVBEwAAAAAQVgRNAAAAAEBY/X8qnyGXG1vNTQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "B9dJdby6o-9V",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 927
        },
        "outputId": "97937237-5b31-4b3d-eaf9-8bbd342ff3a2"
      },
      "source": [
        "fig, ax = plt.subplots(figsize=(11, 11))\n",
        "plt.scatter(X, y, color='navy', s=30, marker='o', label=\"training points\")\n",
        "\n",
        "poly_model = make_pipeline(PolynomialFeatures(1),\n",
        "                           LinearRegression())\n",
        "poly_model.fit(X[:, np.newaxis], y)\n",
        "y_plot = poly_model.predict(x_plot[:, np.newaxis])\n",
        "plt.plot(x_plot, y_plot, lw=2, color=\"red\")\n",
        "plt.ylim(-9, 9)\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "\n",
        "# fig.savefig('ML_0511.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1100x1100 with 1 Axes>"
            ],
            "image/png": 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AAACUlHC4uU/ITIjF4gqHm/NcUfEhaAIAAADIm0K4G9ne3pXV4zk3f77UZXENWSJoAgAAAMiLxN3IQCCitrZOxWJxtbV1KhCIyOudnbewWVNTkdXjOfPdd9LUqdKOO0pXXGFNDSYhaAIAAADIi0K5G+nz1cnpdPT7mNPpkM9Xl5c6ennqKWncOOnaa6WVK6XbbpPmzs1/HSYhaAIAAADIi0K5G+n316u2trpP2Ex0nfX76/NShyRp8WLp+OOlgw6SPvnEWCsvN3Y0t9suf3WYjKAJAAAAIC8K5W6ky1WuSKRBgYBXbnelnE6H3O5KBQLe/I02icWke+6RRo+W/vjH5Ppee0lvvy1deaU0YkTu68gRWwXNRYsW6cQTT9T666+vUaNGafvtt9ebb75pdVkAAAAA0lBIdyNdrnI1NnrV2upXT88Vam31q7HRm5+Q+e670p57Sj6f9O23xtp660n33y89/7z04x/nvoYcs03Q/OabbzRhwgQNHz5c//rXv/Tee+/ppptu0rrrrmt1aQAAAADSUJB3I/Pp+++lyy83mv3MmZNcP/lkaeFCqaFBcvT/92M3jng83v8h6QIzZcoUzZkzRy+99NKQn6Ozs1NVVVVaunSpKisrTawOAAAAwGASXWfXbAiUuBuZt2OrVnjuOenMM6WPPkqubbONNHOmtO++1tWVgUzylG12NJ944gntvPPOOvroo7XRRhtpxx131D333DPgxyxfvlydnZ293gAAAABYoyDuRubbkiXSSSdJ++2XDJnDh0uNjdI779gmZGbKNjuaI0eOlCRdcMEFOvroo/XGG2/ovPPO08yZM3XKKaf0+zGBQEDTpk3rs86OJgAAAICciseNO5cXXSR9/XVy/ac/lWbNsmVH2Ux2NG0TNMvLy7XzzjvrlVdeWbV27rnn6o033lBTU//zdpYvX67ly5ev+u/Ozk55PB6CJgAAAIDcWbhQmjhRevHF5No660g33CCddprktM3B0l6K8ujsJptsou3WSP1jxozRZ599lvJjRowYocrKyl5vAAAAAKwRjXYrGIzI4wmprGy6PJ6QgsGIotFuq0szxw8/GGNJxo/vHTKPP94In6efbtuQmalhVheQrgkTJuj999/vtfbBBx9o8803t6giAAAAAOnqrxFQW1unAoGIHnvsffvf0fzPf4xmPx98kFzbaivp7rulAw6wri6L2CZO+/1+vfrqq7rmmmv00Ucf6Q9/+IPC4bAmT55sdWkAAAAABhEKNfXpNitJsVhcLS0dCoX6vw5X8L780hhLss8+yZA5bJg0dao0f35JhkzJRnc0Jekf//iHpk6dqg8//FBbbrmlLrjgAp1xxhlpfzzjTQAAAABreDwhtbWlngLhdleqtdWfx4qyFI9Lv/ud9JvfSF99lVzffXej2c+4cdbVliOZ5CnbHJ2VpMMOO0yHHXaY1WUAAAAAyFB7e1dWj2cqGu1WKNSkcLhZ7e1dqqmpkM9XJ7+/Pvsjuh98IE2aJD3/fHKtqkq67jrpjDNK5h7mQPgbAAAAAJBzNTUVWT2eicR90EAgora2TsVi8VX3Qb3e2UNvPrR8uRQMGs1+Vg+Zxx4rLVhgdJolZEoiaAIAAADIA5+vTk6no9/HnE6HfL46014rJ/dBX3pJ2nFH6YorjMApSZtvLv3zn9LDD0ubbGJC5cWDoAkAAAAg5/z+etXWVvcJm06nQ7W11fL76017rXC4uU/ITIjF4gqHm9N/sq+/NsaS7LmnsWspSWVl0kUXSe++Kx18sAkVFx+CJgAAAICcc7nKFYk0KBDwyu2ulNPpkNtdqUDAa/poE1Pug8bj0kMPSaNHS/fem1zfZRfprbek66+X1l47y0qLl626zmaLrrMAAACA/WTa2CfrDrf//a/R7OeZZ5JrFRXSjBnGrMyysmz+OLaVSZ5iRxMAAABAwRpKY58h3wft7jbC5LhxvUPmUUcZx2YnTy7ZkJkpgiYAAACAAUWj3QoGI/J4Qiormy6PJ6RgMDL07q0ZGEpjnyHdB33lFWmnnaRLL5V++MFY83ikJ56Q/vIXadNNTfszlQKOzgIAAABIKbGjuGbYS4Q2s+9Xrmmox2DTPm777bfSlCnSrFnJNadTOu88afp0yeUy8U9jb5nkKYImAAAAgJSCwYgCgUi/XVydTocCAa8aG705e/2ysukpO8gmaujpuSLzJ47HpT//2QiUixcn13faSQqHpTrzxq0UC+5oAgAAADCFqaNChqCmpiKrx/v1ySfSIYdIxx2XDJkul3TrrdJrrxEyTUDQBAAAAJCSKaNCsjDkxj79WbHCGEsydqz0738n1484QnrvPencc2n2YxKCJgAAAICUcrKjmIEhNfbpz2uvSTvvLF1yifT998bapptKjz4qPfaY0fgHpiFoAgAAAEjJ1B3FIXC5yhWJNCgQ8MrtrpTT6ZDbXalAwJteI6KlS6Wzz5bq66W33zbWHA5j9/K996Qjj8xp/aWKZkAAAAAAUrK66+yQxePSX/9qBMrPP0+u77ij0WH2Jz+xrjabohkQAAAAAFNkvaOYB2vO+dx1kyv0wegJ0tFHJ0PmWmtJN90kvf46ITMP2NEEAAAAYFur77g6Yit1rl5TUP/R2lqRfKfDDpPuuEPafHPrCi0CmeSpYXmqCQAAAABMFwo1qaWlQzvG2hTW31WnjlWPtatCc469UEf/sdG4l4m8IWgCAAAAsK2HZr6im2P/1Nl6XWUyDmvGJN2tn+hS7avKORU6mpCZdwRNAAAAAAOKRrsVCjUpHG5We3uXamoq5PPVye+vt/aO5mOP6dn2a+VW56qlt7WRfDpcr8kYVxLN8ZxP9I+gCQAAACCl/rrOtrV1KhCI6LHH3remIVBrq3TOOdLjj8v9v6XvNEwB7aWQ6rVSZaveNddzPtE/us4CAAAASClxB3L10SaSFIvF1dLSoVCoKX/F9PRIt94qbbed9Pjjq5b/rW00VpN1g37aK2TmY84n+kfQBAAAAJBSONzcJ2QmxGJxhcPNOXvt1ceW7Ow8U2+P2kI6/3wpGjXeYeON9cPs3+uyHS/UZ871en1sYs6n31+fs/qQGkdnAQAAAKTUPsgdx8EeH6rEkd0P5/6froz/R+frVZWtSAbeFaedruE3Xq+R666ryFEFeoe0hBE0AQAAAKRUU1OhtrbOAR/PhVCoSe65ET0a/4c2W63Zz3xtqEmOn+mALU5U47rrSpJcrnI1NnrV2OjNSS3IHEdnAQAAAKTk89XJ6ex/PEjO7kAuWqS6Gefq8fgfVoXM7zVMl2of1WmiXo57cnpkF9kjaAIAAABIye+vV21tdZ+wmZM7kD090p13SmPG6NDv3161/Iy20vaapBnaUyv+dygzV0d2YQ6CJgAAAICUXK5yRSINCgS8crsr5XQ65HZXKhDwmjvaZN48affdpbPPlrqMEPmF1tIJ+oUO0En6r9Zfo67h8nhCKiubLo8npGAwomi025xakDVHPB7vv4VUEers7FRVVZWWLl2qyspKq8sBAAAAsGyZNG2adPPNxo7m/zTvdKgOaB6nr+Kj+v0wh0NaPckkdlgtmetZIjLJU+xoAgAAALDGv/4ljRsn3XBDMmSOHi1FItr2hb9p8x236nNk1/G//1xzu8ySuZ5IiaAJAAAAYEhWn3OZ0RHWzz+XjjtOOuQQ6dNPjbURI6RgUGppkfbcM+WR3YqKESmfNtdzPZE+js4CAAAAyFhizmVLS4disWSkGPAIaywmhcPSlCnS0qXJ9b33lmbOlLbddtDXLSub3uv11uR0OtTTc0XGfx4MjqOzAAAAAHIqFGrqEzKlAY6wzp8v7bGHNGlSMmSuv770wAPSc8+lFTKlwed25mquJzJD0AQAAACQsXC4OeXOYq8jrN9/L116qbTjjtIrryTfqaFBWrhQOvnk5MXLNFgy1xMZI2gCAAAAyNhgcyzb27ukZ54xmv3MmCGtXGk8sO220vPPS/ffL22wQcavm9e5nhgygiYAAACAjA10RHVDRfWXEY9LBxwgffyxsVheLl15pTEvc++9h/y6eZvriazQDAgAAABAxoLBiAKBSK/jsw7FdJrm6no9q/X0ffKd99xTmjXLGF0C26IZEAAAAICcWvMI6xh9oYhm67f6ezJkrruudO+90gsvEDJLzDCrCwAAAABgP4kjrLdd/4LWvuVGTep6XuXqSb7DSSdJN94obbSRdUXCMgRNAAAAAEPieu0lXfrHyVLXR8nFrbc2ZmLut591hcFyHJ0FAAAAkJklS6RTTjHC5Ef/C5nDh0uXXSa98w4hE+xoAgAAAEhTPC7Nni1deKH09dfJ9QkTjGY/Y8daVhoKCzuaAAAAQJGJRrsVDEbk8YRUVjZdHk9IwWBE0Wj30J/0/feNsSSnnZYMmeusI4XD0osvEjLRC+NNAAAAgCISjXbL652tlpaOXqNHnE6HamurM581uXy5NGOG8da9WlA97jgpFJKqq02sHoWM8SYAAABAiQqFmvqETEmKxeJqaelQKNSU/pO98IK0ww7StGnJkLnlltK//y398Y+ETKRE0AQAAACKQOK47LRpkT4hMyEWiyscbh78yb76yjgiu/fexpFZSRo2TJoyRZo/XzrwQBMrRzGiGRAAAABgc6mOy/anvb0r9YPxuPT730sXXCB9+WVyfbfdjGY/48ebVDGKHTuaAAAAgM2lOi7bn5qaiv4f+PBDaf/9pZNPTobMqirp7rulOXMImcgIQRMAAACwuXC4Oa2Q6XQ65PPV9V7s7pauukrafnvpueeS68ccIy1YIJ15puQkNiAzHJ0FAAAAbG7A47D/k+g66/fXJxdfflny+YxAmbD55tJdd0mHHJKDSlEq+NUEAAAAYHMpj8P+T1mZQ4GANzna5JtvjIC5xx7JkFlWJl10kfTuu4RMZI2gCQAAANicz1cnp9PR72NOp0NXXulVY6NXrrWHG2NJRo+W7rkn+U677CK9+aZ0/fXS2mvnqWoUM4ImAAAAYHN+f71qa6v7hM1ex2U//lg6+GDp+OOlL74w3qGiQrr9dumVV6Ta2vwXjqJF0AQAAABszuUqVyTSoEDAK7e7Uk6nQ253pXFc9tkT5LrjZmnsWOmpp5If9ItfGMdmzz7bODYLmMgRj8cHb09VJDo7O1VVVaWlS5eqsrLS6nIAAACA3GpqMu5izp+fXPN4pDvukH72M+vqgi1lkqfY0QQAAACKzbffSmedJU2YkAyZTqfk90vvvUfIRM4x3gQAAAAoFvG49Mgj0nnnSR0dyfW6OikclnbaybraUFLY0QQAAACKwaefSocdJh17bDJkrr22FApJr71GyEResaMJAAAA2NmKFdKtt0pXXil9911y/fDDjbuYm21mXW0oWQRNAAAAwK5ef91o9jNvXnKtpsYImEceKTn6n60J5BpHZwEAAAC76eyUzjlH2m23ZMh0OIy1BQukn/+ckAlLsaMJAAAA2EU8Lv3tb9K550rt7cn12lpp1ixpl10sKw1YHTuaAAAAgB189pl0xBHSL3+ZDJlrrSXdeKP0xhuETBQUdjQBAACAQrZypXT77VJjo7RsWXL9kEOkO++UttjCstKAVAiaAAAAQKF66y2j2U9zc3Ktulq67TZjZ5N7mChQHJ0FAAAACk1Xl3T++cZx2ETIdDikSZOkhQulo48mZKKgsaMJAAAAFJInnpAmT5ba2pJr229vNPupr7euLiAD7GgCAAAAhWDRIukXvzAa/iRC5qhR0rXXGkdoCZmwEYImAAAAYKWeHqPZz5gx0qOPJtcPPFCaP1+65BJp+PC8lBKNdisYjMjjCamsbLo8npCCwYii0e68vD6KhyMej8etLiJfOjs7VVVVpaVLl6qystLqcgAAAFDqWlqMZj9vvJFc22gj6dZbpWOPzes9zGi0W17vbLW0dCgWS0YEp9Oh2tpqRSINcrnK81YPCk8meYodTQAAACDfli2TLrxQ2nnn3iHT5zOa/Rx3XN6b/YRCTX1CpiTFYnG1tHQoFGrKaz2wN4ImAAAAkE9PPiltt510003GsVnJ+O+XXjIa/qy7riVlhcPNfUJmQiwWVzjc3O9jQH8ImgAAAEA+tLdLxxwjHXaY9NlnxtqIEdJVV0lz50o//anF5XVl9TiwOoImAAAAkEuxmHTXXUazn0ceSa7vu6/R7Oeyy6Ry6+8+1tRUZPU4sDqCJgAAAJArb78tTZhgzMXs7DTWNthAevBB6ZlnpG22sba+1fh8dXI6+78X6nQ65PPV5bki2BlBEwAAADDbd99JU6ZIO+0kvfpqcv2004xmPyeemPdmP4Px++tVW1vdJ2wmus76/czxRPoImgAAAICZ/v1vaexY6brrpJUrjbUf/1h64QXp3nul9de3tLxUXK5yRSINCgS8crsr5XQ65HZXKhDwMtoEGWOOJgAAAGCGjg7J75cefji5Vl4uXXqpsbs5YoR1tQEmyCRPDctTTQAAAEBxisWk3/5WuuQS6dtvk+t77SXNnGnsZgIlhqAJAAAADNX8+dLEidIrryTX1lvPmJF5yikFdw8TyBfuaAIAAACZ+v57YyzJjjv2DpmnnGI0+2loIGSipLGjCQAAAGTimWekSZOk//43ufajHxnHZPfZx7q6gALCjiYAAACQji++MMaSHHBAMmQOHy41NhrzMgmZwCoETQAAAGAgsZgxlmT0aOmhh5Lre+whzZsnTZ8ujRxpXX1riEa7FQxG5PGEVFY2XR5PSMFgRNFot9WloYTYNmhee+21cjgcOv/8860uBQAAAMVqwQJp772l00+XvvnGWFt3XaPL7AsvSGPGWFremqLRbnm9sxUIRNTW1qlYLK62tk4FAhF5vbMJm8gbWwbNN954Q7NmzdL48eOtLgUAAADF6IcfpCuukHbYQXrxxeT6CScYzX5+/WvJWXg/SodCTWpp6VAsFu+1HovF1dLSoVCoyaLKUGoK71/HIKLRqE444QTdc889Wnfdda0uBwAAAMXm+eel8eOlYFBascJY23pr6emnpd//XtpoI2vrG0A43NwnZCbEYnGFw815rgilynZBc/LkyTr00EO13377Dfq+y5cvV2dnZ683AAAAoF9ffmmMJdl3X+nDD421YcOkSy+V3nlH2n9/S8tLR3t7V1aPA2ax1XiThx9+WM3NzXrjjTfSev8ZM2Zo2rRpOa4KAAAAthaPSw88IF14ofTVV8n13XeXwmFp7FjrastQTU2F2tpSb67U1FTksRqUMtvsaLa2tuq8887TQw89pJFpdvWaOnWqli5duuqttbU1x1UCAADAVj74wNjBPPXUZMisqpJmzZJeeslWIVOSfL46OZ2Ofh9zOh3y+eryXBFKlSMej/d/iLvAPPbYY/r5z3+usrKyVWs9PT1yOBxyOp1avnx5r8f609nZqaqqKi1dulSVlZW5LhkAAACFavly6brrpKuvlrpX68R63HFSKCRVV1tXWxYSXWfXbAjkdDpUW1utSKRBLle5hRXCzjLJU7Y5OrvvvvvqnXfe6bV26qmnavTo0brkkksGDZkAAACAJKOL7MSJRvfYhC22kO66Szr4YMvKMoPLVa5IpEGhUJPC4Wa1t3eppqZCPl+d/P56QibyxjY7mv3Za6+9VFtbq1tuuSWt92dHEwAAoIR9/bV08cXSvfcm18rKjLuZV1whrbWWdbUBNlCUO5oAAADAkMTj0kMPSRdcIC1ZklzfdVej2Q+z2QHT2TpovvDCC1aXAAAAgEL20UfSpEnSs88m1yorpRkzjOOzXL8CcsI2XWcBAACAtHV3G41+xo3rHTJ/+UtpwQLprLMImUAO2XpHEwAAAOjj5ZeN3cr33kuubbaZdOed0mGHWVcXUELY0QQAAEBx+OYbI2DusUcyZDqdxt3Md9+1JGRGo90KBiPyeEIqK5sujyekYDCiaLR78A8GbMzWXWczRddZAACAIhSPS3/6k3T++dLixcn1nXc2mv3suKMlZTHTEsUmkzzFjiYAAADs65NPjNmXv/pVMmS6XNKtt0qvvmpZyJSkUKipT8iUpFgsrpaWDoVCTRZVBuQeQRMAAAD2s2KFdN110tix0lNPJdd//nOj2c+551re7Cccbu4TMhNisbjC4eY8VwTkD82AAAAAYC+vvir5fNI77yTX3G7pjjukI46wrq41tLd3ZfU4YGfsaAIAAMAeli41xpLsvnsyZDqd0nnnGc1/CihkSlJNTUVWj1uNRkbIBkETAAAAhS0el/7yF2nMGOnuu43/loz7l6+9Jt1yi1RReKHN56uT0+no9zGn0yGfry7PFaUv0cgoEIiora1TsVhcbW2dCgQi8npnEzYxKIImAAAACtf//Z90+OHS0UdLn39urK29tnTzzdLrrxudZQuU31+v2trqPmEz0XXW76+3qLLB0cgI2SJoAgAAoPCsXCnddJO03XbSk08m1w8/3Dgm6/dLw3LTbsSsI6MuV7kikQYFAl653ZVyOh1yuysVCHgLfrQJjYyQLeZoAgAAoLC88YbR7KelJblWUyPddpv0i19Ijv6Po5qB2ZeGsrLpKYOmZPx99PRckceKUAiYowkAAAD76ew0xpLsumsyZDoc0tlnG7uYRx2V05ApZX9ktFga6Ni9kRGsR9AEAACA9R591Dgme/vtyWY/48dLTU3GWlVVXsrI5shoMTXQsXMjIxQGgiYAAACs09oqHXmkcSR20SJjbdQo6frrpTffNHY38yib2ZfF1EDHzo2MUBgImgAAAMi/nh5jLMmYMdLjjyfXDz7YOCZ70UXS8OF5LyubI6PF1EDHzo2MUBhy06oLAAAASOWtt6SJE43/m1BdLd16qzHGJMf3MAfi89UpEIj0GxgHOzKazW5oIXK5ytXY6FVjo9fqUmBD7GgCAAAgP6JRYyzJLrv0DplnniktWCAdc4ylIVPK7sgoDXSAJIImAAAAcu+JJ4xmP7fcIsVixtq4cdKcOdLdd0vrrGNldatkc2SUBjpAEnM0AQAAkDuLFhkjS/72t+TayJHSFVdIF15oyT3MXBloBuf48Rvp0EN/pAceeFvt7V2qqamQz1cnv7+e+46wjUzyFEETAAAA5uvpMXYqL71U6lrtbuIBB0h33SVtvbV1teVQNNqtUKhJ4XDzqkDZ0LCD/v73D/TOO1/0CaC1tdU014FtZJKnODoLAAAAc7W0SLvvLp1zTjJkbrSR9NBD0r//XbQhU0o20Glt9aun5wq1tvpVXl7WJ2RK9hx7AqSLoAkAAABzLFtmjCXZeWfp9deT62ecYTT7Of54y5v9WKGYxp4A6WK8CQAAALL3z39KZ50l/d//JdfGjJFmzZL22MO6ugpAsY09AdLBjiYAAACG7vPPjbEkhx6aDJkjRkjBoHGEtsRDpsTYE5QmgiYAAAAyF4sZzX5Gj5YeeSS5vs8+0jvvSJdfLpXT4EZi7AlKE0ETAAAAmXnnHWnCBOOobGensbbBBtLvfic9+6z0ox9ZW1+B8fvrVVtb3SdsJrrO+v31FlUG5A5BEwAAAOn57jtp6lSprk569dXk+qmnSgsXSiedVJLNfgbjcpUrEmlQIOCV210pp9Mht7tSgYA37dEm0Wi3gsGIPJ6Qysqmy+MJKRiMKBrtzsOfAMgcczQBAAAwuKefls48U/rkk+Taj38szZwp7bWXZWWVgmi0W17vbLW0dDCHE5ZijiYAAADMsXixMZbkwAOTIbO8XAoEpHnzLAmZudjdK+Qdw1CoqU/IlJjDicLGjiYAAAD6isWke++VLr5Y+vbb5LrXa+xijh5tSVm52N0r9B1DjyektrbOlI+73ZVqbfXnsSKUKnY0AQAAMHTvvWcESp8vGTLXW0+67z7pP/+xLGRKudndK/QdQ+Zwwo4ImgAAADB8/73U2CjV1kovv5xcP+kko9nPqada3uwnHG7uEwgTYrG4wuHmgnhOMzGHE3ZE0AQAAID03HPS+PHSVVdJK1YYa9tsY4wr+d3vpA03tLa+/8nF7l6h7xgyhxN2RNAEAAAoZUuWSCefLO23n/TRR8ba8OHS5Zcb8zL33dfa+taQi929fOwYZtNsiDmcsCOCJgAAQCmKx6X77zfuWz74YHL9pz+VWlqkYFAaOdKy8lLJxe5erncME82GAoGI2to6FYvF1dbWqUAgIq939qBh04w5nEC+0XUWAACg1CxcaMzEjESSa+usI91wg3TaaZKzcPci7Nh1NhiMKBCI9HsP1Ol0KBDwqrHRO+TnB/KFrrMAAADo64cfjPmXO+zQO2Qef7wRPk8/vaBDpmTe7t7qR1mrqq5VR0dUe+21uWpqKkzfMSz0ZkNALrCjCQAAUApeeEGaOFH64IPk2lZbSXffLR1wgGVlWSHfczPLyqanDJqJ1+3pucK01wNyhR1NAAAAGL76yhhLsvfeyZA5bJg0darR7KfEQqaU/7mZjCdBKSJoAgAAFKN43BhLMnq0NHt2cr2+Xmpulq65RlprLcvKs1K+j7IyngSliKAJAABQbD780BhXcsop0pdfGmtVVcYx2Zdflrbf3tr6LJbvuZmMJ0EpImgCAAAUi+XLjbEk228vPf98cv2YY6QFC4xOswXe7Ccf8n2UlfEkKEXDrC4AAAAAJnjpJaPZz4IFybXNN5fuuks65BDr6ipAPl/dgONGcnGU1eUqV2MjY0xQOviVFgAAgJ19/bV0xhnSnnsmQ2ZZmXTRRdK77xIy+zHYUdYzzthp1eiTsrLp8nhCCgYjika7LaoYsB/GmwAAANhRPC798Y+S3y998UVyfZddpFmzpNpay0qzg2i0W6FQk8LhZrW3d6mmpkI+X53OOGMnHXroHzR37uda86fkTTZxqbl5oqqrXdYUDVgskzxF0AQAALCb//5XOuss6emnk2sVFdKMGcY9zLIy62qzuWAwoiuvfKFPyEzYZBOXPvjgHO5VoiQxRxMAAKAYdXcbYXLcuN4h86ijjGOzkyeXZMiMRrtNO+oaDjenDJmS9PnnUdPnbALFiB1NAAAAO3jlFaPZz/z5yTWPR7rzTunww62ry2LRaLe83tlqaeno1dwncd8y066uZWXTU87YTHC7K9Xa6h9yzYBdsaMJAABQLL79Vpo0SZowIRkynU7jbuZ77xVcyDRzdzEdoVBTn5ApSbFYXC0tHRnvPqYz2sTsOZtAMSJoAgAAFKJ4XPrTn6TRo6WZM5PrO+0kvfGGdPPNkquwmtIkdhcDgYja2joVi8XV1tapQCAir3d2TsJmONyccgcyFosrHG7O6PnSGW1i9pxNoBgRNAEAAArNJ59Ihx4qHXectHixseZySbfcIr32mlRn/pxHM5i9u5iOwXYXM9199PvrtckmqQN8ruZsAsWGoAkAAFAoVqyQrr9eGjtW+te/kutHHGEckz3vvIJu9mP27mI6BttdzHT30eUqV3PzxH7DZuLep99fn9FzAqWIoAkAAFAIXntN2nln6ZJLpO+/N9Y23VR69FHpsceMxj8FzuzdxXT4fHVyOh39PjbU3cfqamOEyfTpe8ntrpTT6ZDbXalAwJtxc6E15fsOK2AVus4CAABYaelS6bLLpLvu0qq5Gg6HdM45UjAo2ehnFo8npLa2zpSP56Jbq9ldZ3PJTrUC/aHrLAAAQKGLx6W//lXabjtjREkiZNbWGrubt95qq5Ap5WZ3cTAuV7kikQYFAl7Tdx/NZsUdVsAq7GgCAADk22efSZMnS//4R3JtrbWk6dONe5jDhllXWxbYsRuYFTu+gJnY0QQAAChEK1caY0m22653yDz0UKPZz29+Y9uQKdlrd9EKVtxhBazCjiYAAEA+vPmm5PNJc+cm1zbZRLrtNumoo4x7mSgq0Wi3QqEmhcPNam/vksMh9fSk/tGbHU0UukzylH1/ZQYAAGAHXV1SY6N0++1SLGasORzSpEnSNddIVVXW1mexNcNYTU2FfL46+f31tt4BTXWMOBXmc6LYEDQBAABy5fHHpbPPltrakmvbby+Fw9Juu1lXV4HoL4y1tXUqEIjoscfet/Vx21SNf/rDfE4UI4ImAACA2drajPEkjz2WXBs1SgoEJL9fGj7cqsoskWrXsru7Z9AurI2NXouqzk443DxgyCwrcygeV9Hs4AJr4o4mAACAWXp6jFEll10mRaPJ9YMOMuZkbrmldbVZZKBOtGVlDq1YEUv5sfm6s5iL47tlZdMHDJpOp0M9PVcMtWTAEtzRBAAAyLe5c41mP2++mVzbeGNjHuYxx5Rss5+BZkcOdqw0H11Yc3V8t6amYsBRJjU1FUOuGbADxpsAAABkIxo1xpLsvHPvkDlxorRggXTssSUbMqXBj5AOJB9hbKAgnDi+OxQ+X52czv4/7zT+QSkgaAIAAAzVP/4hjR1rzMZMdJQdO1Z6+WVp5kxp3XWtra8ADHVXMl9hbKAgHIvFFQ43D+l5/f561dZW9wmbNP5BqSBoAgAAZKq9XTr6aOnww6XPPjPWRo6Urr5aam6WJkywtr41RKPdCgYj8nhCKiubLo8npGAwomi0O+evPdiu5PDhTkvD2GBBeKhB2eUqVyTSoEDAK7e7Uk6nQ253pQIBr6276QLpohkQAABAunp6jJ3KqVON+ZgJ++9vNPvZZhvrakthoGY8tbXVOQ89wWBEgUCk311Dp9OhqVMnaMSIYZbN0fR4QgPepcxXQyLADjLJU+xoAgAApOPtt42dyrPPTobMDTeUHnpIeuqpggyZUu7uIKZrsCOkU6bsocZGr1pb/erpuUKtrX41NnrztuPHXUogNwiaAAAAA1m2TLrkEqmuTnrtteT66adLCxdKxx+ft2Y/QzkCm6s7iOkq9COk3KUEcoOjswAAAKn8+9/SpEnSp58m10aPlmbNkvbc09SXGmyW41CPwDLPcXC5mKMJFKNM8hRBEwAAYE0dHdL550t/+lNybcQI6bLLpIsvNv63idIJkaFQ04B3HQMBrxobvX0e4w4iALNwRxMAAGAoYjFjt3L06N4hc599jDuajY2mh0wpvXuUQz0CW8h3EK3shgsgt9jRBAAAkKT586WJE6VXXkmurb++MSPzpJNyeg8znV3H9vauIR2BtbrrbCqFWheA1NjRBAAASNf330uXXirtuGPvkNnQYDT7OfnknDf7SWeW42DzKFM9XqjNeKzuhgsgtwiaAACgdD3zjDRunDRjhrRypbG27bbS889L998vbbBBXspIJ0RmcwTW5Sq3dIRIf6zuhjsYjvUC2SFoAgCA0vPFF9IJJ0gHHCB9/LGxVl4uXXmlNG+etPfeeS0nnRBZbGM40tnFtUriWG8gEFFbW6disbja2joVCETk9c4mbAJpIGgCAIDSEYtJv/2t0eznD39Iru+5pxEwAwFp5Mi8l5VOiCzUI7BDNdSjwPnAsV4gezQDAgAApWHBAqPZz0svJdfWW0+64QbjPqbT2t+/l9osx2AwMqRxLfnASBigf8zRTIGgCQBACfrhB+maa6Rrr5VWrEiun3ii0VF2ww2tq62EFXLX2bKy6UPq8AsUO7rOAgAASNJzz0njx0vBYDJkbr210QTowQcJmRYq5KPAhXysF7CLYVYXAAAAYLolS6QLL5R+97vk2rBh0iWXSJddJo0alfeSSu1obDoS3XCtOiKbis9Xl/JYr8MhNTTsYEFVgL1wdBYAABSPeFx64AEjZH71VXJ9wgRp1ixp7FhLyirkY6LoKxrt1h573KeWlsX9Pr7DDhvr5ZdP43OGklOUR2dnzJihn/zkJ6qoqNBGG22kI488Uu+//77VZQEAgELx/vvGWJJTT02GzHXWkcJh6cUXLQuZEl1M7cblKtehh/5Ijv4nzuidd77gcwYMwjZBMxKJaPLkyXr11Vf1zDPPaMWKFTrggAO0bNkyq0sDABQghq2XkOXLpWnTjLuYkUhy/Ve/MjrNnnGG5R1lw+HmlM1lYrG4wuHmPFeEwTzwwNtKde6PzxkwONsenV2yZIk22mgjRSIR7bnnnml9DEdnAaA0cEyxhEQixsiS1U85bbmldNdd0kEHWVfXGuhiaj98zoC+ivLo7JqWLl0qSVpvvfVSvs/y5cvV2dnZ6w0AUPysOqbILmoeffWV9OtfS3vtlQyZw4ZJU6ZI8+cXVMiU6GJqR3zOgOzYMmjGYjGdf/75mjBhgsaNG5fy/WbMmKGqqqpVbx6PJ49VAgCsYsUxxcQuaiAQUVtbp2KxuNraOhUIROT1ziZsmiUel37/e2n0aOm++5Lru+0mNTdLM2ZIa61lXX0p+Hx1cjr7v/DndDrk89XluSIMhs8ZkB1bBs3Jkydr/vz5evjhhwd8v6lTp2rp0qWr3lpbW/NUIQDASu3tXVk9PhQ0e8mDDz+U9t9fOukk6csvjbXKSuOY7Jw50vbbW1vfAPz+etXWVvcJLonj3H5/vUWVIRU+Z0B2bBc0zz77bP3jH//Qf/7zH7nd7gHfd8SIEaqsrOz1BgAoflYceaPZSw51d0tXX20EyeeeS64ffbS0cKE0aZLlzX4G43KVKxJpUCDgldtdKafTIbe7UoGAlzvDBYrPGZAd2zQDisfjOuecc/Too4/qhRde0I9+9KOMn4NmQABQGoLBSMph606nQ4GA+QPiaRySIy+/bDT7ee+95Nrmmxu7mIccYl1dAFCCirIZ0OTJk/X73/9ef/jDH1RRUaGOjg51dHTo+++/t7o0AECBMePIW6aNfWgcYrJvvpF8PmmPPZIhs6xMuvBC6d13hxwy1/y8VlXNUFXVtXI6p9G8CQBMZJsdTUeKibn333+/Ghoa0noOdjQBoHREo90KhZoUDjervb1LNTUV8vnq5PfXD3rkbSjjUazYRS1K8bj08MPS+edLX3yRXP/JT6RwWKqtHfJTp/q8ro4ROACQWiZ5yjZB0wwETQBAOoYSGpndaYKPP5bOOkt66qnkWkWFcT/zrLOMHc0sDPR5XR2/GACA/hXl0VkAQPEqtPmTQ2nsQ+OQLKxYIV17rTR2bO+Q+fOfG8dmzzkn65ApDfx5XR3NmwAge+xoAgAsVYg7gTT2yaOmJuMu5vz5yTW3W7rjDumII0x9qcE+r6vjc5y9bI6vAyhM7GgCAGyjEOdP0tgnD7791hhLMmFCMmQ6ncbdzPfeMz1kSpl93vgcZyfxC6RAIKK2tk7FYnG1tXUqEIjI651NwyWgBBA0AQCWKsT5kz5fXZ+OtQlOp0M+X12eKyoi8bj05z9LY8ZIM2ca/y1JO+4ovf66FAoZ9zJzYKDP6+r4HGevEH+BBCC/CJoAAEu1t3dl9XgumDEeBf349FPpsMOkY4+VOjqMtbXXNsLl669LO+2U05dP9XldHZ9jcxTiL5AA5BdBEwBgqVwfUx1KoyEa+5hs5UrpxhuNZj///Gdy/fDDjWOy558vDRuW8zL6+7xWVparsnKEHA7xOTZRIf4CCUB+0QwIAJB3qzcJWbSoU6n+P1G2YyYKsdFQyXn9daPZz7x5ybWaGun2242usinmZBeSXDW1KeZmOR5PSG1tnSkfd7sr1drqz2NFAMxAMyAAQMFas0nIQCEz2yOM3BOzUGenMZZkt92SIdPhkM4+29jF/MUvbBMyc9HUptib5XDPGQBBEwCQFrNmXaYKfwlmHmHknpgF4nHpb38zmv3ccUey2c8OO0ivvmrsZFZVWVtjGhJf75tuepOamz83/ZcVxf5LEO45A+DoLABgUGYeQc3nkTrmYeZZa6uxY/nEE8m1tdaSpk3L2z1MM6T6eu/PUL9eS+FoaTEfDQZKVSZ5yh7f8QGgiNnhh7F0dl/SvUeZzyYhNTUVA/4wX13tMu21StrKlcbu5eWXS8uWJdcPOUS6805piy0sK20oBtt1X91Qv15LoVmOy1Wuxsah37EGYG8cnQWAITDrGKld7mmZeQQ1111mVzfY3MR4PF4wf8dDYdbXYVbeesu4h+n3J0NmdbUxK/Mf/7BdyJQG/npf01C/XvP57wAArEDQBIAMmRkO7XJPy8zdl3w2CfH767XxxmunfLyjI1owf8eZsvyXFNGoES532cUIm5JxwXbSJGnhQunoo23R7Kc/6X49Z/P1mu2/g4L4JQMADICgCQAZMjMc2qVZjZm7L/lsEuJylafsaisZfWqmTYvY8gd1S39J8cQT0nbbSbfcIsVixtr220tz5kh33VXQzX7SCWjpfD1n+/Wazb+DwX7J0NERJYQCsBxBEwAyZGY4tMs9LTN3IV2uckUiDQoEvHK7K+V0OkzrMrumaLRbHR3RAd+npydesEeWB2LJLykWLTLGkhxxhNH4R5JGjZKuvdbY1awv7E6i6e4CD3bkurJyRNZfr9n8Oxjolwxz536uurpZBX8cH0Dxo+ssAGTIzE6mg3WelIzuk1Y3BzKz62w+BYMRXXHFCxl9jNPpUCBQ+A1M8tpRt6fH2Km87DKpa7Vffhx4oLG+1VbmvE6OBYMRBQKRfv/eVv+8F/rXezrfN/pjl69tAIUrkzzFjiYAZMjMY6SD7ZxIKojdiHzuQpppKLt6A+0GDnTsMt935vLWTKalxdipPPfcZMjcaCPpj3+U/vUv24RMKf1d4EL/eh/qSYdCOo4PoPixowkAGUp3VyQdmczrYzcic4Pt+qXS327gQLtc22+/kRwO6e23v+h3B+zJJ4/XPfe8ZeoIGzO/Dvu1bJl05ZXGPcyenuS6z2cclV133aE/t0WKZa7qUHc0Jfv8GQEUJnY0ASCHzGxms+bOyUDYjcicmaMnBroX9/bbizVv3uK83pnLaVOlJ5+Uxo6VbropGTK320566SVp1ixbhkzJ/F1gqzq/pnMSIhXGpgDIF4ImAGTI7GN1iaHmra3+QX94LJTmQHYxlB/IUzU3GujYZTyulN1t43Hp88+jpneHzcnxzvZ2YyzJYYdJ//d/xtqIEdLVV0tz50o//emQai0UZja1ytV4mXTC60C/ZNhkE1fexgcBwEA4OgsABWSwI3Fud6VaW/15rMjeUh13dTikkSOHafnynrSbvQz1GO5gCuJz2tNj7FROnSp1rvb1t+++0syZ0jbbWFebicxs8pOLo8uZ1BeNdisUaupzHPuMM3bSoYf+oWAbGQGwN47OAoBNmbnjYmdmHUlMtes3bdpe+vjj8zLaDczVkUPLd6nffluaMEGaPDkZMjfYQHrwQemZZ4omZErm7gLnYrxMJrNRVz8J0dNzhVpb/Wps9Kq62lXQjYwyZdXxZADZY0cTAArIYA1nDj98W82ePc+0hjKFqFBHSwy0g+X43+8GhvL/US3b0fzuO2n6dOMe5sqVyfXTTpOuv15af/3812QjuWgsxImG3gr1ewFQytjRBACbSrXjMnXqBDkc0jXXvFz0Q9gz2dXJp4HuxY0fv7F22GFj+9yZ+/e/pXHjpOuuS4bMH/9YeuEF6d57CZlpyMV4mcF2ty3f/c6zQv1eACA9BE0AKDD9HYkbMWJYn9EZUnH+wJWLI4lmGOjY5csvn6aXXjqt38eamyfmrjtspjo6pF/9Sjr4YOmTT4y18nJp2jRp3jzJy+icdOXimHveZqPaRKF+LwCQHo7OAoANlNKRumKZdbi6VI1b8nbsORaTfvtb6ZJLpG+/Ta7vtZfR7OfHP859DUXGrGOdq39tLFrUmfL4dSnO0S3G7wWA3WWSp4blqSYAQBZK6UhdTU3FgKHajrs6iV1qS0LCu+9KEydKc+Yk19Zf37ibefLJyQumyEhihzubXyCkCqtrsmT3uwAU4/cCoJRwdBYAhiif3RBL6UgdnXdN8v330mWXSbW1vUPmKadICxca/5eQmZVUnV/T3aVOdQcxweGQrTvGZovvBYC9ETQBYAhyNaw9lVL6gWugpjuluKszJM8+K22/vXTNNclmPz/6kfTcc9Ls2cb4ElhuoDuIkrTpppUZh9diwvcCwN4ImgAwBPnuhlhKP3CZOeuw5HzxhXTSSdL++0v//a+xNny41NhozMvcZx9r6ysCZp5kKKUj8UPB9wLA3mgGBABDYEVzHssbymBAln5+4nHpvvukiy6Svvkmub7HHtKsWdKYMbl9/RJh9lzHUmryBaA4MEcTAHJg9Z2MgX44lHKzE5HtfTDkTr6PUveyYIHRPfb005Mhc911jS6zL7ygqGfrvN0lLnZmn2QopSPxAEoPQRMA0rBmkBhMMTXnweAsGSz/ww/SlVdKO+wgvfhicv2EE4xmP7/+taLfrbQuABchs+c6FsOR+Hw2RQNgLwRNAEjDYN0hV8dOROnJ+2D5//zHCJjTp0srVhhrW28tPf209PvfSxttJMmiAFzEzL5Tafc7iJbu5AMoeARNAEjDYN0hE+y0EwHz5K2py5dfSg0NRlOfDz4w1oYNky69VHrnHaMJ0GryHoCLXC7GDNn5SDy/yAAwEIImAKQhnaBgp52IQlEsx+5yPuc0HpceeEAaPdr4vwm77y7NnStdfbU0alSfD6Orqbm4U9kbv8gAMBCCJgCkYbCgkOgOaZediEJQTMfuchpAPvhA2ndfYyfzq6+MtaoqaeZM6aWXpHHjUn5ozgNwiSmGO5Vm4hcZAAZC0ASANLCTYb5iOnaXkwCyfLlxB3P77Y07mQnHHWc0+5k4UXIO/P/G+bo1lx3vVOby1AC/yAAwEOZoAkAahjI/j7mXAyu2GYKmfr5ffNEIkgsXJte22EK66y7p4IMzqsnMuY+wl1x//oPBiAKBSL/HZ51OhwIBrxobvUN+fgCFJ5M8RdAEUPLSDQiZBAl+wB9cWdn0ARssOZ0O9fRckceKCsDXX0sXXyzde29yraxM+s1vjFEma62V8VPyC4/SlesgyPc5oPQQNFMgaAJYU65+UOI3/YMrth3NrMTj0h/+IPn90pIlyfVdd5VmzTJGmQAZyse/MX6RAZSWTPIUdzQBlLRc3ROkG+PguD/4Px99JB1wgHTiicmQWVkp3XmnNGcOIRNDlo9mPXYezwIgtwiaAEpargJhsXVjzEVDEbMb6NhuVEp3t3TNNUazn2efTa7/8pfSggXSWWcZx2aBIaJZDwArETQBlDSzA2Ei7Dj636hbZbAf8AopNOVqDImZHTxtNyplzhyprk667DLphx+Mtc02k/7+d+mRR6SaGmvrQ1HI56mBQvqeBaAwcEcTQEkz8w5TqvueaxrsjmahNdiww31TO9QoSfrmG2nKFCkcTq45ndL550vTpkkul2Wlofjk63tJoX3PApA73NEEgDSZ+Rv/VPc913zOwY6FFtp8STvcNy34GuNx6eGHpTFjeofMnXeW3nxTuummkgiZ7HrlV77mfhba9ywAhYEdTQAlzczfxA+2O1pW5tCVV3oH7cY42PPU1FTozDN3yluXRzuMIbGqxrQ6bn7yiXHf8t//Tn6gyyVdfbU0eXLJ3MNk16t40UEaKB3saAJAmsz8jf9g9znjcaXVjTGde6P5vItoh4YiVtQ46L3Qb5ZJ118vjR3bO2QeeaTR7Ofcc0smZErsehWzYmt+BsAcBE0AJc+s9vxmhZ103i+fP6zboaGIFaNSBgpOI+a+oWVjxkuXXCJ9/73xgNstPfqo8eZ2m15PoSv4480YMjv8MgpA/hE0AeSdne5pZVKrWWFnoOcZSK5+WDd7DEkq2XSOzVeNq+svOFXqB92hJ/Vy/LfaePHHiSKM3cv33jN2M0sUu17Fi5m4APrDHU0AeWWne1qZ1mrWn22g5xnoHmLifSy7i5ilbDvH5qPG1fW+FxrXUXpPt+lfqlE0+U477mg0/9l5Z9Nf3264x1e87PR9HUB2MslTBE0AWcvkB/yBwoQkVVaO0IUX1ucsHGRiKMHHrLCT6nlmznxrwJ0fO/+wbrcgkqh3M32rO/WkDtOHqx6LarhuqjpEV375F2nYMAurLBy2GUGDIcn3L3oAWIOgmQJBEzBfpr/JHixMDPSx+VaIwaeYf1i3Q3fb1V0VeE7fTr9e0+L/0dpasWr979pW5zoO1WnTjkjrc1EqP6Cz6wUA9kfXWQB5k2knyXTuYRVKF8pCvFNmxV3EfLFVQ5E33tDUR3+jG+NPrwqZ7XLpKB2jIx3Ha70dR6f1ucjmXqrd5GumIwCgMBA0AWQl006S6YaFQuhCWYjBpxB+WM9VMydbNBTp7DQa++y6q8renidJijscmr32BI11nKPX3bspMG2vlJ+LNf/uNt30Js2d+3m/v6iZO/dzXXfdy/n4U+WNWR2ekZqdmq0BKG4cnQWQlUyPOw52R3Ogjx1ILo4fFvMx1aHK5fHHgj9a+eij0jnnSIsWJdfGjzea/ey6a593X/NrsrrapXg8rsWLl6X19S9Jw4c79fXXlxDE0lAqR5AHUvD/hgDYHkdnAeRNprt+qY5+DuW5E3J1/LCYj6kOVaZHpTNRCLu1/WptNcaS/OIXyZA5apR0/fXSm2+mDJlrfk22t3fp88+jaYdMSVqxImb5EXI7KKUjyAPJ5b9PAMgUQRNAVjI97rh6mKisTB0cMjkqmasfrgo2+Fgo06PSmVr9aOXSpVPk89UpHG5WVdW1+T8C2NMj3XqrtN120uOPJ9cPPtiYiXnRRdLw4f1+aKqvyaGw+gi5HdgxYOXiiGuu/30CQCY4OgsgK0OZNbn68bayModWroxp9e9EmR7zKsTusMUqX51hLT8C2Nws+XzSW28l1zbeWLrtNunooyXHwDvy6XRXTlehddstRHb7HpCrr2+7dW4GYD8cnQWQN5ns+vV3vG3Fipgk4y6aw6Eh7RgWQndYM3Yn7NDEI18NkizboYpGpQsukH7yk94hc+JEaeFC6ZhjBg2ZkrRokTkhUyqwbrsFqhC+B2QiV1/fhdjADEDpImgCyFp/nST9/nqFQk29QtMRR/yx3w6b8bjU0xPXtGl7DakLpdU/XJlxP8wud8zy1RnWkiOAf/+7cUw2FJJixi9ANHasNGeONHOmtM46aT9VRcUIU0oqmG67Bc7q7wGZytXXty06NwMoGQRNAKZLFZqef/5TpTqsb+cfrszYnbDLHbN8NUjK6w7VokXSUUdJP/uZ0fhHkkaOlGbMMI7Q7r77EJ40/VspTqdDo0YN67NRmoumU1bvmpf0aJzVmPn1vfrf6RVXvNDv+5RyAzMA1iFoAjDdUBuhDDU8WN0d1ozdCbs08chXg6S87FD19Eh33imNGSP97W/J9f33l+bPl6ZMkcqHOqplxaDvs/rf3ccfn6dp0/bK6d+p1bvmuXx9q78HZMqsr+81/04l9ft9ZOON19aTTx5fkg3MAFiHoAnAdAOFpoEMNTxY3R3WjN0JO90x6++odKbHnQeT8x2qefOMncqzz5a6/vd3u9FG0kMPSU89JW29dVZPP9jXsttd2evvrrralfO/U6t3zUtyNE4KZn19p/tLvcWLl+mee94a8H0AwGx0nQVgusE6H/bH6XQoEPCqsdGbo6pyx4yOl3brmplrOes6u2yZNG2adPPNxo5mwumnS9ddJ623ngnVS8FgRIFApN9/B4N9ra/ZmbmmpkI+X538/vqsApPVX2NWv/5Q5eLzYdbXdybdjQv17xeAvdB1FoClMt2ZLNTjbekyY3fCbnfMci0nO1T//KfR3OeGG5Ihc8wY6cUXpXvuMS1kSkM/ypnL46VW75pb/fpDkavPh1lf35n8nRXi3y+A4kbQBGC6wULTPvtsYYvjbeky436Y3e6Y5YNpR3Q//1w69ljp0EOl//s/Y23ECCkYlFpapD32yEntQwkSuTxeanVnVqtffyhyfdw326/vTP7OCvHvF0BxI2gCMN1goenxx3+V07to+WbG7oTd7pjZQixmjCUZM0b685+T6/vsI73zjnT55UNu9pOOoQSJXDaFsnrX3OrXH4pCb9I10N/p6gr17xdAceOOJoCcyNU9MyAt77wjTZwoNa2247TBBsbdzBNPVJ9ZIgVisPvNTqdDPT1XDOm5c3bv1SavPxS5/HyYIdXf6eoK+e8XgP1kkqcImgCA4vHdd8aR2BtvlFauTK43NBh3MzfYwLLS0pHrhjlW/wLI6tfPlB0aGK3+d7poUacqKkZIiisaXVHwf78A7IegmQJBEwCK2NNPS5MmSR9/nFzbdltp1ixpr736vHshhp5sutXCfHw+AKA3gmYKBE2gsBTiD/qwocWLpQsukP7wh+Raebk0darxNmJEnw8p1GOchVpXqTLr88H3OgDFgqCZAkETKBz8QI2sxWLSffdJF18sffNNct3rNZoAjR6d8kMLeaeKUFJYsv188L0OQDEhaKZA0AQKRyH/oA8beO89o9nPyy8n19Zbz7ib2dAwaLMfM+7eEQiRDr7XASgmmeQpxpsAsEShjw1AgfrhB6mxUaqt7R0yTzxRWrhQOvXUtDrKDja8frDHE7tUgUBEbW2disXiamvrVCAQkdc7W9Fodzp/mqITjXYrGIzI4wmprGy6PJ6QgsFIyf59SHyvA1C6CJpACSjEH/6y/UEfJei556Ttt5euukpascJY22Yb6dlnpQcflDbcMO2nGmx4/WCPh0JN/Y6UiMXiamnpUCjUlOIjixfhu398rwNQqgiaQJEr1B/+sv1BHyVkyRLp5JOl/faTPvrIWBs+XLr8cuntt6V99834KQcadL/mcPv+flFz441N7FKtgfDdP77XAShVBE2gyBXqD3+Z/KCPEhWPS/ffbzT1efDB5PqECVJLizEvc9SoIT2131+v2trqPl+DiQYtfn+9pNS/qOnsXD7g85fiLhVHRPvH9zoApYqgCRS5Qv3hL90f9ItBIR5dLnjvvy/tvbd02mnS118ba+usI91zj/Tii9J222X19C5XuSKRBgUCXrndlXI6HXK7KxUIeHt1AU31i5rBlOIuFUdE+1dK3+sAYHV0nQWKXFnZ9AF/SHY6HerpuSKPFSWVQtdORhtkaPlyacYM4617tSB+/PHSzTdLG2+c13IG607bH6s6iVr978mMTr7FyurPDQCYhfEmKRA0UYr44c9ajDbIwAsvGCNLPvggubblltLdd0sHHmhJSYP9omZNVv0CoRB+ocHXOgAUP8abAFiF+0HWKtSjywXlq6+MI7J7750MmcOGSVOmSPPnWxYypcGPwFZWlg949DZfCuEuNkdEAQCrI2gCRY4f/qzFvbUBxOPS735nNPu5//7ken291NxsHJ9day3r6tPgv6i58MLd1drqV0/PFWpt9aux0WvJUchC+IVGuvdeAQClwXZB884779QWW2yhkSNHatddd9Xrr79udUlAQSu1H/4KrfEOow1S+PBDaf/9pVNOkb780lirqjKOyb78sjEvswDY5Rc1+fqFxmD/vlyucjU2egsifAMArGWrO5p/+tOfdPLJJ2vmzJnadddddcstt+iRRx7R+++/r4022mjQj+eOJlDcCuGe2pq4t7aG7m7p+uulq64yGv8kHHOMdMst0iabWFZaKnZo5JKPu9iF+O8LAJBfOb2jecopp+jFF18ccnHZuPnmm3XGGWfo1FNP1XbbbaeZM2dqrbXW0n333WdJPQAKSyHcU1uTXXbE8uLll6XaWqmxMRkyN99cevJJ6U9/KsiQKdljly4fd7EL8d8XAKBwZRw0ly5dqv32208/+tGPdM0112jRokW5qKuP7u5uvfXWW9pvv/1WrTmdTu23335qaur//7ktX75cnZ2dvd6AYlVoR0atUAj31NZUakeX+/XNN9IZZ0h77CEtWGCslZVJF10kvfuudMgh1tZXBPLxC41C/PcFAChcQzo6u2TJEj344IN64IEH9N5772m//fbTr3/9ax1xxBEaPnx4LupUe3u7Nt10U73yyiuqr0/+P8yLL75YkUhEr732Wp+PCQQCmjZtWp91js6i2HCkzVDIM0NLUjwu/fGPkt8vffFFcn2XXaRZs4zdTZgm10d8+fcFAMj5eJMNN9xQF1xwgebNm6fXXntN22yzjU466STV1NTI7/frww8/HFLhZps6daqWLl266q21tdXqkoCc4EibgcY7BeS//5UOOkg64YRkyKyokG6/XXrlFUJmDuT6iC//vgAAmciq6+znn3+uZ555Rs8884zKysp0yCGH6J133tF2222nUChkVo2SpA022EBlZWVavHhxr/XFixerurq6348ZMWKEKisre70BxagUj7T1d1R4223Xy/qeGkeQs7RihTGWZNw46emnk+tHHWUcmz37bOPYLGyHmbwAgExkfHR2xYoVeuKJJ3T//ffr6aef1vjx43X66afr+OOPXxXkHn30UZ122mn65ptvTC1211131S677KLbb79dkhSLxbTZZpvp7LPP1pQpUwb9eLrOoliV2pG2VEeFHQ5p5MhhWr68Z0hHiDmCnKVXXpEmTpTmz0+ueTzSnXdKhx9uXV0wBf8+AAA5PTq7ySab6IwzztDmm2+u119/XW+++abOPPPMXi+09957a5111sm48MFccMEFuueee/TAAw9owYIFmjRpkpYtW6ZTTz3V9NcC7CRfR9oKZbcv1VHheFz64YeV2muvzYfUeIcjyEP07bfSpEnShAnJkOl0Gncz33uPkFkkaGwFAMhExjuaDz74oI4++miNHDkyVzUN6I477tANN9ygjo4O1dbW6rbbbtOuu+6a1seyo4lilY9ZjYW0m5GrmYH5mEVYVOJx6ZFHpPPOkzo6kus77SSFw1IdRykBACgmmeSpIXWdtSuCJopVPkJgPsJsunJ1VLjUjiBn5ZNPpMmTpX/9K7nmcklXXWWsDxtmXW0AACAnct51FkBhyceRtkJqOJSro8J01UzDihXSDTdIY8f2Dpk/+5lxTPa88wiZAACAoAkUi1yPNmhv78rqcTPlqvslXTUH8dpr0k9+Il18sfT998bapptKjz4qPf640fgHAABABE0AaSqk3T6/v161tdV9QmHiqLDfXz/k5x0/fiM51siaDoc0fvxGQ35e2+vsNMaS1NdL8+YZaw6HdO65xi7mkUdaWh4AACg8BE0AaTFjt8+srrWpjgpPnTpBhxyyjcaMuXPIz5/q1nrp3GZfTTwu/fWv0pgxxoiSxF9Cba2xu3nrrRL33QEAQD9oBgQgLdk2HMp1wyIznr+QGh5Z7rPPjF3Mv/89ubbWWlIwaOxkcg8TAICSQzMgAKbLtuFQrmdUmvH8hdTwyDIrV0qhkLTddr1D5qGHGsdkL7iAkAkAAAbFjiaAlKLRboVCTQqHm9Xe3qWamgr5fHXy++sz3n3M9YxKM56/5MebvPWW5PNJzasF6k02kW6/XfrFL9Tn8ioAACgp7GgCyFriKGogEFFbW6disbja2joVCETk9c7O+F5lrrvWmvH8hdTwKK+6uqTzz5d22SUZMh0O6ayzpAULpKOOImQCAICMEDQB9Mvso665DnFmPH9Jjjd5/HHjmOytt0qxmLE2frz0yitGA6CqKmvrAwAAtkTQBNAvs+8r5jrEmfH8uRqbUpDa2qSf/9wYTdLWZqyNGiVdd5305pvSbrtZWh4AALA3giaAfpl91DXXIc6M58+24ZEt9PRIt91mjCx57LHk+kEHSe++K118sTR8uGXlAQCA4kAzIAD9Sre5TiYNg8xsLtTfcy5a1KmKihGS4opGV8jlGi7Joa6u5dp008qsX8v25s41mv28+WZybeONjWOzxxzDPUwAADCgTPIUQRNAv9KZKen31+d0NuZgUs3OdDikkSOHafnyHkvqKjjRqBQIGGNLEvcwJWniRGnGDGnddS0rDQAA2AddZwFkLZ2jqLmejTmYVK8fj0vff7/SsroKypNPSmPHSjfdlAyZY8dKL78szZxJyAQAADlB0ATQr3TuK5rdMChTA71+KvmoqyC0t0tHHy0ddpj02WfG2siR0tVXGyNMJkywtj4AAFDUODoLYMjKyqYPGPScTod6eq6w7PVTyXVdlurpkWbNkqZOlTpXu2O7//7SXXdJ22xjXW0AAMDWODoLIC9yPRsz29c3++MK3ttvGzuVkycnQ+aGG0q//7301FOETAAAkDcETQBDluvZmNm8fir5qCvvvvtOuuQSqa5Oeu215Prpp0sLF0onnEBHWQAAkFcETQBDluvZmEN9fYdDGjVqmGV15dW//20097n+euPYrCSNHi1FItI990jrrWdtfQAAoCQRNAEMWToNg6x4/WnT9tLHH59nWV150dEhHXecdPDB0qefGmsjRkjTpkktLdKee1pZHQAAKHE0AwIAO4nFjJ3KSy6Rli5Nru+9tzGuZNttrasNAAAUNZoBATYUjXYrGIzI4wmprGy6PJ6QgsGIotFuU94fRWD+fGmPPaQzz0yGzPXXlx54QHruOUImAAAoGOxoAgUgGu2W1ztbLS0dvcZ1JO4UrnncM9P3z7SWUKhJ4XCz2tu7VFNTIZ+vTn5/fXEcObWj77+XrrrKuIe5cmVyvaFBuuEGaYMNLCsNAACUDnY0AZsJhZr6hEZJisXiamnpUCjUlNX7pysRYAOBiNraOhWLxdXW1qlAICKvdza7pVZ45hlp3DjpmmuSIXPbbaXnn5fuv5+QCQAAChJBEygA4XBzn9CYEIvFFQ43Z/X+6cpVgMUQfPGFdOKJ0gEHSB9/bKwNHy5dcYU0b55xJxMAAKBAETSBAtDe3pXR45m+f7pyFWCRgVhMuvdeY0TJQw8l1/fcU3r7baOr7MiR1tUHAACQhmFWFwBAqqmpUFtbZ8rHXa5yeTyhVXcmXa5ydXYuH/D5hiJXARZpWrBAmjhReuml5Nq660o33mjcx3Tyu0EAAGAP/NQCFACfr05OpyPl411dy3vdmezqSh0ynU6HfL66IdUxWEAdaoDFIH74QbrySmmHHXqHzBNPlBYulE47jZAJAABshZ9cgALg99ertra6T9h0/O8/1+wNnfhvxxrZNNF11u+vH1IdAwXebAIsBvD889L48dL06dKKFcba1lsbTYAefFDaaCNr6wMAABgCgiZQAFyuckUiDQoEvHK7K+V0OuR2V6qiYuBxIhUV5b3ePxDwZjXaJFXgzTbAoh9ffmkch913X+nDD421YcOkSy+V3nlH2m8/S8sDAADIBnM0gQJWVjY9ZXMeyQiAPT1XmPqazNHMsXhceuAB6cILpa++Sq5PmCDNmiWNHWtdbQAAAAPIJE8RNIEC5vGEBmwS5HZXqrXVn8eKkJX335fOPFN64YXk2jrrSNdfL/3619zDBAAABS2TPMVPNUAB485kkVi+3LiDOX5875D5q18ZnWbPOIOQCQAAigo/2QAFjDuTReDFF6XaWqOrbHe3sbblltK//iX94Q9SdbWl5QEAAOQCQRMoYP01CaqsLJfLVa65cz/XmDF3KhiMKBrttrpUrOnrr43jsF6vMaJEMpr9XHKJNH++dNBB1tYHAACQQ9zRBGwiGu2W1ztbLS0dvRoEJXY3s+k2CxPF49JDD0kXXCAtWZJc3203KRyWtt/eutoAAACywB1NoAiFQk19QqYkxWJxtbR0KBRqsqgyrPLRR9IBB0gnnZQMmZWV0l13SXPmEDIBAEDJIGgCNhEON6ccdRKLxRUON+e5IqzS3S1dfbU0bpz07LPJ9aOPNpr9TJpEsx8AAFBShlldAID0tLd3ZfU4cuTll6WJE6X33kuubb65dOed0qGHWlcXAACAhfgVO2ATNTUVAz5eXe3KUyWQJH3zjREw99gjGTLLyqTf/EZ6911CJgAAKGkETcAmBpqpKUnxeJzus/kQj0sPPyyNGWM090n4yU+kN9+UbrxRWntt6+oDAAAoAARNwCb8/nptvHHqANPREaUhUK598ol08MHSr34lLV5srFVUSLfdJjU1GfMyAQAAQNAE7MLlKpfDMdCOpmgIlCsrVkjXXSeNHSs99VRy/ec/N47NnnOOcWwWAAAAkmgGBNhKR0d0wMdpCJQDTU3GXcx33kmuud3SHXdIRxxhXV0AAAAFjB1NwEYGawg02OPIwLffSmedJU2YkAyZTqd0/vnGLiYhEwAAICWCJmAjAzUEcjod8vnq8lxREYrHpUceMZr93H238d+SVFcnvf66FAoZ9zIBAACQEkETsBG/v161tdV9wqbT6VBtbbX8/nqLKisSn34qHXaYdMwxUkeHsbb22ka4fO01aaedLC0PAADALgiagI24XOWKRBoUCHjldlfK6XTI7a5UIOBVJNIgl6vc6hLtaeVKYyzJ2LHSP/+ZXD/8cOOY7PnnS8O40g4AAJAuRzyeOBdW/Do7O1VVVaWlS5eqsrLS6nIAFILXX5d8PmnevORaTY3R7OfII6UBOv0CAACUkkzyFDuaAEpTZ6cxlmS33ZIh0+GQzj5bWrDAGF1CyAQAABgSzoIBKC3xuPToo0bIbG9Pru+wgxQOS7vsYl1tAAAARYIdTQClo7XVOA571FHJkLnWWtINN0hvvknIBAAAMAk7mgCK38qVxp3Lyy+Xli1Lrh9yiHTnndIWW1hWGgAAQDEiaAIobm+9ZTT7aW5OrlVXS7fdJv3yl9zDBAAAyAGOzgIoTl1dkt9vHIdNhEyHQ5o0yWj2c/TRhEwAAIAcYUcTQPF54gmje2xra3Jt3Dij2U99vXV1AQAAlAh2NAEUj0WLpF/8QjriiGTIHDVKuvZaY1eTkAkAAJAX7GgCsL+eHumuu6TLLjOOzCYccIB0993SVltZVxsAAEAJImgCsLeWFqPZzxtvJNc22ki65RbpuOO4hwkAAGABjs4CsKdly6QLL5R23rl3yDzjDGnhQulXvyJkAgAAWIQdTQD28+ST0llnSZ99llzbbjtp1izppz+1ri4AAABIYkcTgJ18/rl0zDHSYYclQ+aIEdJVV0lz5xIyAQAACgRBEygx0Wi3gsGIPJ6Qysqmy+MJKRiMKBrttrq01GIxo6nP6NHSI48k1/fdV5o/32gCVF5uXX0AAADoxRGPx+NWF5EvnZ2dqqqq0tKlS1VZWWl1OUDeRaPd8npnq6WlQ7FY8p++0+lQbW21IpEGuVwFFtjeecdo9vPqq8m1DTaQbr5ZOvFE7mECAADkSSZ5ih1NoISEQk19QqYkxWJxtbR0KBRqsqiyfnz3nTRlilRX1ztknnaa0eznpJMImQAAAAWKoAmUkHC4uU/ITIjF4gqHm/NcUQpPPSWNGyddd520cqWx9uMfSy+8IN17r7T++paWBwAAgIERNIES0t7eldXjOdfRIR1/vHTQQdInnxhr5eVSICDNmyd5vZaWBwAAgPQQNIESUlNTkdXjOROLSeGwNGaM9Mc/Jtf32kt6+23pyiuN7rIAAACwBYImUEJ8vjo5nf3fa3Q6HfL56vJckaR335X23FOaOFH69ltjbb31pPvvl55/3jgyCwAAAFshaAIlxO+vV21tdZ+wmeg66/fX56+Y7783xpLU1kpz5iTXTznFaPbT0ECzHwAAAJsiaAI2YNbsS5erXJFIgwIBr9zuSjmdDrndlQoEvPkdbfLss9L220vXXJNs9vOjH0nPPSfNni1tuGF+6gAAAEBOMEcTKHC2nH2ZypIl0gUXSL//fXJt+HBjjMmll0ojR1pXGwAAAAbEHE2giNhq9mUq8bh0333S6NG9Q+YeexjdZKdPJ2QCAAAUEYImUOBsM/sylYULje6xv/619PXXxto660j33GPMxRwzxsLiAAAAkAsETaDAFfzsy1R++MEYSzJ+vPTii8n1E04wwufpp0tOvgUBAAAUo2FWFwBgYDU1FWpr6xzw8YLzn/9IZ54pffBBcm2rraS775YOOMC6ugAAAJAXbCcABa4gZ1+m8uWX0qmnSvvskwyZw4ZJU6dK8+cTMgEAAEoEQRMocAU1+zKVeFx64AGj2c/s2cn13XeX5s41xpiMGmVZeQAAAMgvgiZQ4NKdfWnWrM2MffCBtO++UkOD9NVXxlpVlXFM9qWXpHHjcvv6AAAAKDjM0QSKgCWzNpcvl66/Xrr6auN/Jxx7rHTLLVJ1tbmvBwAAAEsxRxMoMXmftfnSS1JtrXTFFcmQucUW0j//KT38MCETAACgxBE0gSKQt1mbX39tjCXZc09jRIkklZVJF19sNPs5+GBzXgcAAAC2RtAECkQ2dyxzPmszHpceesho9nPvvcn1XXeV3npLuu46ae21s3sNAAAAFA1bBM1PP/1Uv/71r7Xllltq1KhR2nrrrXXllVequzvHTU4Ak6UKkx0dUXm9sxUIRNTW1qlYLK62tk4FAhF5vbMHDZuDzdLMatbmf/8rHXigdOKJ0pIlxlpFhXTHHdKcOdIOOwz9uQEAAFCUbBE0Fy5cqFgsplmzZundd99VKBTSzJkzdemll1pdGoqY2V1cEw17+guTdXWzsrpjmZNZm93dxliSceOkZ55Jrv/yl8ax2cmTjWOzAAAAwBps23X2hhtu0N13362PP/447Y+h6yyi0W6FQk0Kh5vV3t6lmpoK+Xx18vvre3VlzUUX12AwokAgkvIu5UDc7kq1tvoH/HOZWu+cOdLEidK77ybXNttMuvNO6bDDMq4fAAAA9lcSXWeXLl2q9dZbb8D3Wb58uTo7O3u9oXQNtKO45vHUXHRxHahhz2AGu2OZ7qzNQX3zjXTmmdJPf5oMmU6ndMEFxn8TMgEAAJAGWwbNjz76SLfffrsmTpw44PvNmDFDVVVVq948Hk+eKkQhyiQ85qKLazYNeaqrXYO+j8tVrsZGr1pb/erpuUKtrX41NnrTC5nxuPSnP0ljxkizZiXXd95ZeuMN6aabJNfgNQAAAACSxUFzypQpcjgcA74tTIxQ+J9FixbpoIMO0tFHH60zzjhjwOefOnWqli5duuqttbU1l38cFLhMwqPZXVyj0W6VlfV/hzId8Xh8yHdDB/XJJ9Ihh0jHHSctXmysuVzSLbdIr74q1Q3hficAAABK2jArX/w3v/mNGhoaBnyfrbbaatX/bm9v1957763dd99d4XB40OcfMWKERowYkW2ZKBKZhMeamgq1taU+ap1pF9dQqEkrV8YGfB+XqzxlmFy8eJlCoSY1Nnozet0BrVghhUJSICB9/31y/cgjpdtukzgBAAAAgCGyNGhuuOGG2nDDDdN630WLFmnvvffWTjvtpPvvv19Opy1P/cJCmYRHn68uZeOeoXRxDYebNVDbreHDnaqoSB00EzuupgXN116TfD7p7beTa5tuaowsOfJIc14DAAAAJcsWaW3RokXaa6+9tNlmm+nGG2/UkiVL1NHRoY6ODqtLg41kMgLE769XbW11n/dPdHH1++szeu3BdlNXroxp8eJlWT1HWpYuNcaS1NcnQ6bTKZ13nrRgASETAAAAprBF0HzmmWf00Ucf6bnnnpPb7dYmm2yy6g1IVybh0bQurv8z2FHbTTetHPR9Mj2u20s8Lv3lL0azn7vu0qrt1R13NHY3b7lFqsji+QEAAIDV2HaO5lAwRxPpztE020AzNJ1OhwIB40jsYO8zpKOz//d/xi7mk08m19ZaSwoGpXPPlYZZeoIeAAAANpFJniJoAnmQmOG55niVxG5qJNIgSYO+T0ZheOVK6dZbpSuukL77Lrl+2GHGXczNN8/2jwUAAIASkkmessXRWcDu0jmKa+px3TfekH7yE+nCC5Mhc5NNjOOzTzxByAQAAEBOsaMJFJPOTqmx0dixjP1vnIrDIZ11lnT11VJVlbX1AQAAwLYyyVNczgKKxWOPSWefLS1alFwbP16aNUvabTfLygIAAEDp4egsbC8a7VYwGJHHE1JZ2XR5PCEFg5GUMymLTmurMZbk5z9PhsxRo6Trr5fefJOQCQAAgLzj6CxsLZ0mO7nsJmupnh7jiOzll0vRaHL9oIOMESZbbmldbQAAACg6NANCyQiFmvqETEmKxeJqaelQKNRkUWU51tws7bqrdP75yZC58cbSww9L//wnIRMAAACWImjC1sLh5n7nTkpG2AyHm/NcUY5Fo9JvfmN0lH3rreT6xInSwoXSsccazX8AAAAAC9EMCLbW3t6V1eO28ve/S5MnG3cyE8aOlcJhaffdrasLAAAAWAM7mrC1mpqKrB63hUWLpF/+UvrZz5Ihc+RI6ZprjCO0hEwAAAAUGIImbM3nq5PT2f9RUafTIZ+vLs8VmainR7rzTmnMGOmvf02u77+/NH++NHWqVF6kjY4AAABgawRN2JrfX6/a2uo+YTPRddbvr7eosizNmydNmGDMxez63/HfDTeUHnpIeuopaeutra0PAAAAGABBE7bmcpUrEmlQIOCV210pp9Mht7tSgYDXnqNNli2TLr5Y2mkn6bXXkuunn240+zn+eJr9AAAAoOAxRxMoFP/6l3TWWdKnnybXRo82mv3ssYdlZQEAAAASczQBe/n8c2MsySGHJEPmiBFSMCi1tBAyAQAAYDuMNwGsEosZu5VTpkhLlybX99lHuvtuadttrasNAAAAyAJBE7DC/PnSxInSK68k19ZfX7r5Zumkk7iHCQAAAFvj6CyQT99/L116qbTjjr1DZkOD0ezn5JMJmQAAALA9djSBfHn6aWnSJOnjj5Nr224rzZol7bWXZWUBAAAAZmNHE8i1xYulE06QDjwwGTLLy6UrrzTmZRIyAQAAUGTY0QRyJRaT7rvPmIv5zTfJda9XmjnTGF0CAAAAFCGCJpAL770nnXmm9NJLybX11pNuvNG4j8k9TAAAABQxjs4CZvrhB6mxUaqt7R0yTzrJaPZz6qmETAAAABQ9djQBszz3nLGL+dFHybWttzaOye63n3V1AQAAAHnGjiaQrSVLpFNOMcJkImQOHy5ddpn0zjuETAAAAJQcdjSBoYrHpdmzpQsvlL7+Ork+YYIxsmTsWMtKAwAAAKzEjiZKUjTarWAwIo8npLKy6fJ4QgoGI4pGu9N7gvffl/bZRzrttGTIXGcd6Z57pBdfJGQCAACgpDni8Xjc6iLypbOzU1VVVVq6dKkqKyutLgf/E412KxRqUjjcrPb2LtXUVMjnq5PfXy+Xqzwnr+f1zlZLS4diseSXv9PpUG1ttSKRhtSvu3y5NGOG8da9Wig9/njp5puljTc2vV4AAACgEGSSp9jRhKUSoS8QiKitrVOxWFxtbZ0KBCLyemenv8OYgVCoqU/IlKRYLK6Wlg6FQk39f2AkIu2wgzRtWjJkbrml9O9/Sw89RMgEAAAA/oegCUsNOfRlIRxu7vN6q79uONzce/Grr4wjsnvtZRyZlaRhw6QpU6T586UDDzS9RgAAAMDOCJqwVMahzwTt7V3pPR6PSw8+KI0eLd1/f/Id6uul5mbj+Oxaa5leHwAAAGB3BE1YKu3QZ6KamorBH//wQ2n//aWTT5a+/NJ4oKpKuvtu6eWXpe23N70uAAAAoFgQNGGptEKfyXy+Ojmdjn4fG+Ho0e+2nW8EyeeeSz5wzDHSggXSmWdKTv7ZAAAAAAPhJ2ZYaqDQ53Q65PPVmf6afn+9amur+7zuHo7P9N6I32rv5+8zustK0uabS08+Kf3pT9Imm5heCwAAAFCMCJqwVKrQlxg14vfXm/6aLle5IpEGBQJeud2VWs/xgx5a+196MX6ftvrhc+Odysqkiy6S3n1XOuQQ02sAAAAAihlzNGG5fM/RXCUelx5+WDr/fOmLL5Lru+wihcPGKBMAAAAAkjLLUwRNlKaPP5bOOkt66qnkWkWF0Un2zDONHU0AAAAAq2SSpzg6i9KyYoV07bXS2LG9Q+ZRRxnNfiZPJmQCAAAAWRpmdQFA3jQ1ST6fNH9+cs3jke64Q/rZz6yrCwAAACgy7Gii+H37rTRpkjRhQjJkOp2S3y+99x4hEwAAADAZO5ooXvG49Mgj0nnnSR0dyfWddjKa/dSZPzoFAAAAADuayJNotFvBYEQeT0hlZdPl8YQUDEYUjXbn5gU//VQ67DDp2GOTIdPlkm65RXr1VUImAAAAkEN0nUXORaPd8npnq6WlQ7FY8sstMSszEmkwb4zJihXSrbdKV14pffddcv1nPzPuYno85rwOAAAAUGLoOouCEgo19QmZkhSLxdXS0qFQqMmcF3r9deknP5EuuigZMjfdVPrb36THHx8wZOZ9xxUAAAAoYuxoIuc8npDa2jpTPu52V6q11T/0F+jslC67TLrzTuNepiQ5HNI550jBoDTI5zqvO64AAACATbGjiYLS3t6V1eMpxePGbuWYMcax2ETIrK2VXnvNOEKbxi8U8rbjCgAAAJQIgiZyrqamIqvH+/XZZ9IRR0hHHSW1txtra60l3Xij9MYbxhHaNIXDzX1CZkIsFlc43Jx5fQAAAEAJI2gi53y+Ojmdjn4fczod8vky6AC7cqUUCknbbSf9/e/J9UMPNWZi/uY30rDMpvbkbMcVAAAAKFEETeSc31+v2trqPmEzcQfS769P74neekvadVfpggukZcuMtU02kf78ZyN0br75kOrLyY4rAAAAUMIImsg5l6tckUiDAgGv3O5KOZ0Oud2VCgS86TXa6eqSzj9f2mUXqfl/x1gdDumss6QFC6Sjjzb+e4hM3XEFAAAAQNdZFLjHH5fOPltqa0uubb+9FA5Lu+1mykvQdRYAAAAYHF1nYX9tbdLPfy4deWQyZI4aJV13nXGE1qSQKZmw4woAAACgF3Y0YapotFuhUJPC4Wa1t3eppqZCPl+d/P769AJbT490113GXMyu1ZrwHHigsb7VVrkrHgAAAEBKmeQpgiZMk/UR1JYWyeczxpMkbLyxdMst0rHHDvkeZtbhFwAAAABHZ2GNUKipT8iUjFmULS0dCoWa+v/AZcukCy+Udt65d8icONFo9nPccVmFTK93tgKBiNraOhWLxdXW1qlAICKvd7ai0e4hPS8AAACA1AiaME043NwnZCbEYnGFw819H3jySWMm5k03GcdmJeO/X35ZmjlTWnfdrGoacvgFAAAAMGQETZimvb0r/cfb242xJIcdJn32mbE2cqR09dXS3LnShAmm1DSk8AsAAAAgK8OsLgDFo6amQm1tnQM+rp4eadYsaepUqXO1991vP+nuu6VttsmqhjXvY6YKmQmDhWMAAAAAmSNowjQ+X50CgUi/4c7pdOiSg11q22J7udsWrFpftvY6KrslpJG/PmXI9zATUjUjGkhNTUVWrwkAAACgL47OwjR+f71qa6vldPYOjGs7Vui3G8zRxHvO7BUyf6sdtfl3EzXh7m5Fl63o9zmj0W4FgxF5PCGVlU2XxxNSMBjpt4lPqvuYqTidDvl8dRn8CQEAAACkg/EmMNWaR1ePX69Nt638u9b9tmPV+yzQBpqow/SStpBkBL5AwKvGRm+f58pkXIrHExrw6O7q0h65AgAAAEAS401gIZerXI2NXrW+8Sv1HLNAD355z6qQuVxlatTeqtWZq0KmlLopT6YdY9O5b+l0OuR2VyoQ8BIyAQAAgBzhjibMFYtJv/2tdMkl0rffrlp+XlvqTB2qD7VBvx/WX0hMp2Ps6ruggzUjcrsr1drqT/MPAgAAAGCo2NGEed59V9pzT2nixGTIXH99afZsnbLp2SlDptR/U56MxqXIaEa05v3QBO5jAgAAAPlD0ET2vv9euuwyqbZWmjMnuX7KKdLChdIpp8g3caeMQ+BgHWHXfDxVM6LEfUy/vz69Pw8AAACArBA0kZ1nn5W231665hpp5Upj7Uc/kp5/Xpo9W9rA2MXMJAQmOs12dv6Q8mX7C6cuV7kikQYFAl653ZXcxwQAAAAsQtdZDM0XX0gXXCA99FBybfhwaepU423kyD4fsmZH2pqaCvl8dfL761eFwHRmYdIxFgAAAMi/TPIUQROZicWk+++XLrpI+uab5Poee0izZkljxmT19MFgRIFAJGXIrKwcoQsvrO8VTgEAAADkXiZ5iq6zSN+CBUajn5deSq6tu650441SQ4PkzP4k9kCdZiUjaK45bxMAAABAYeGOJgb3ww/SFVdIO+zQO2SeeKLR7Oe000wJmVLmnWYBAAAAFB52NDGw55+XzjxT+vDD5NrWW0t33y3tv7/pLzfYLMzBOtECAAAAsB47mujfl18a40n23TcZMocNM8aYvPNOTkKmxCxMAAAAoBgQNNFbPG6MJRk9Wvrd75Lru+8utbRIV10ljRqVs5dnFiYAAABgfwRNJL3/vrTPPtKpp0pffWWsrbOO0U32pZeksWNzXgKzMAEAAAD7Y7wJpOXLpeuuk66+WuruTq4fd5wUCknV1dbVBgAAAKAgMN4E6XvxRWNkycKFybUtt5Tuuks66CDr6gIAAABgWxydLVVffy39+teS15sMmWVl0iWXSPPnEzIBAAAADBk7mqUmHpceeki64AJpyZLk+q67SuGwNH68dbUBAAAAKArsaJaSjz6SDjhAOumkZMisrDSOyc6ZQ8gEAAAAYAqCZino7jYa/YwbJz37bHL96KOlBQukSZOMY7MAAAAAYAKOzha7l182mv28915ybbPNpDvvlA47zLq6AAAAABQtdjSL1TffGAFzjz2SIbOsTPrNb4z/JmQCAAAAyBGCZrGJx6U//lEaPdpo7pOw887SG29IN94orb22dfWZJBrtVjAYkccTUlnZdHk8IQWDEUWj3YN/MAAAAICcsl3QXL58uWpra+VwONTS0mJ1OYXl44+lgw+Wjj9e+uILY83lkm67TXr1VWnHHa2tzyTRaLe83tkKBCJqa+tULBZXW1unAoGIvN7ZhE0AAADAYrYLmhdffLFqamqsLqOwrFghXXed0eznqaeS6z//udHs55xziqrZTyjUpJaWDsVi8V7rsVhcLS0dCoWaLKoMAAAAgGSzoPmvf/1LTz/9tG688UarSykcTU3STjtJU6ZI339vrLnd0mOPSX/7m/G/i0w43NwnZCbEYnGFw815rggAAADA6mzTdXbx4sU644wz9Nhjj2mttdZK62OWL1+u5cuXr/rvzs7OXJWXf99+K116qTRzpnEvU5KcTuncc6Xp06WKCkvLy6X29q6sHgcAAACQW7bY0YzH42poaNCZZ56pnXfeOe2PmzFjhqqqqla9eTyeHFaZJ/G49Mgj0pgx0t13J0PmjjtKr78uhUJFHTIlqaZm4D/fYI8DAAAAyC1Lg+aUKVPkcDgGfFu4cKFuv/12dXV1aerUqRk9/9SpU7V06dJVb62trTn6k+TJp58aY0mOOUbq6DDW1l5buvlmI2TutJOl5eWLz1cnp9PR72NOp0M+X12eKwIAAACwOkc8Hu//slseLFmyRF999dWA77PVVlvpmGOO0d///nc5HMlw0dPTo7KyMp1wwgl64IEH0nq9zs5OVVVVaenSpaqsrMyq9rxauVK65Rbpyiul775Lrh9+uHTHHdJmm1lWmhUSXWfXbAjkdDpUW1utSKRBLle5hRUCAAAAxSeTPGVp0EzXZ5991ut+ZXt7uw488ED95S9/0a677ip3mg1vbBk0X39dmjhRWn2US02NdPvtRldZR/87e8UuGu1WKNSkcLhZ7e1dqqmpkM9XJ7+/npAJAAAA5EDRBc01ffrpp9pyyy01d+5c1dbWpv1xtgqanZ3S5ZcbO5aJT5HDIU2eLF11lVRVZW19AAAAAEpKJnnKFs2ASko8Lj36qLTddsauZSJk7rCD9OqrxlqRhMxotFvBYEQeT0hlZdPl8YQUDEYUjXZbXRoAAACALNhyR3OoCn5Hs7VVOvts6YknkmtrrSVNmyadd540fLh1tZmMe5YAAACAvbCjaTc9PUaznzFjeofMgw+W3n1XuvDCogqZkhQKNfUJmZIUi8XV0tKhUKjJosoAAAAAZIugabVPP5V23VXy+6Vly4y16mrpT3+SnnxS2mILK6vLmXC4uU/ITIjF4gqHm/NcEQAAAACzEDSttuGG0pIlxv92OKRJk6QFC4xZmUXcUba9vSurxwEAAAAULoKm1dZeW7rrLmncOGnOHON/r7OO1VXlXE1NRVaPAwAAAChcBM1CcOihxpzM+nqrK8kbn69OTmf/O7ZOp0M+X12eKwIAAABgFoJmoSgrs7qCvPL761VbW90nbCa6zvr9pRO6AQAAgGJD0IQlXK5yRSINCgS8crsr5XQ65HZXKhDwMtoEAAAAsDnmaAIAAAAABsUcTQAAAACAZQiaAAAAAABTETQBAAAAAKYiaEKSFI12KxiMyOMJqaxsujyekILBiKLRbqtLAwAAAGAzNAOCotFueb2z1dLSoVgs+eWQGDVCF1gAAAAANANCRkKhpj4hU5JisbhaWjoUCjVZVBkAAAAAOyJoQuFwc5+QmRCLxRUON+e5IgAAAAB2RtCE2tu7snocAAAAAFZH0IRqaiqyehwAAAAAVkfQhHy+Ojmdjn4fczod8vnq8lwRAAAAADsjaEJ+f71qa6v7hM1E11m/v96iygAAAADYEUETcrnKFYk0KBDwyu2ulNPpkNtdqUDAy2gTAAAAABljjiYAAAAAYFDM0URWotFuBYMReTwhlZVNl8cTUjAYUTTabXVpAAAAAGyAHU30Eo12y+udrZaWjl6zNRP3Nc06ShuNdisUalI43Kz29i7V1FTI56uT31/PUV0AAACgALGjiSELhZr6hExJisXiamnpUCjUlPVrJMJsIBBRW1unYrG42to6FQhE5PXOZucUAAAAsDmCJnoJh5v7hMyEWCyucLg569fIR5gFAAAAYB2CJnppb+/K6vF05CPMAgAAALAOQRO91NRUDPnxdJsI5SPMAgAAALAOQRO9+Hx1cjod/T7mdDrk89X1+1gm9y6zCbMAAAAACh9BE734/fWqra3uEzYTXWf9/vp+Py6Te5dDDbMAAAAA7IGgiV5crnJFIg0KBLxyuyvldDrkdlcqEPAOONokk3uXQw2zAAAAAOyBOZowRVnZ9JRBUzJCZE/PFav+mzmaAAAAgL1kkqcImjCFxxNSW1tnysfd7kq1tvrzWBEAAAAAM2WSpzg6C1Nw7xIAAABAAkETpuDeJQAAAIAEgiZMMdQmQgAAAACKD3c0AQAAAACD4o4mAAAAAMAyBE0AAAAAgKkImgAAAAAAUxE0sUo02q1gMCKPJ6SysunyeEIKBiOKRrutLg0AAACAjdAMCJKMkOn1zlZLS4diseSXRGI8CZ1jAQAAgNJGMyBkLBRq6hMyJSkWi6ulpUOhUJNFlQEAAACwG4ImJEnhcHOfkJkQi8UVDjfnuSIAAAAAdkXQhCSpvb0rq8cBAAAAIIGgCUlSTU1FVo8DAAAAQAJBE5KkhoYdsnocAAAAABIImpAkDdZ8uISaEwMAAADIEkETkqQHHng7o8eZuQkAAAAglWFWF4DCkEkzoP5mbra1dSoQiOixx95n5iYAAABQ4tjRhKTMmgExcxMAAADAQAiakCT5fHVyOh39PuZ0OuTz1a36b2ZuAgAAABgIQROSJL+/XrW11X3CptPpUG1ttfz++lVrzNwEAAAAMBCCJiRJLle5IpEGBQJeud2VcjodcrsrFQh4+9y5ZOYmAAAAgIHQDAiruFzlamz0qrHRO+D7+Xx1CgQi/R6fXfOYLQAAAIDSw44mMpbJMVsAAAAApYegiYxlcswWAAAAQOlxxOPx/tuHFqHOzk5VVVVp6dKlqqystLocAAAAALCNTPIUO5oAAAAAAFMRNAEAAAAApiJoAgAAAABMRdAEAAAAAJiKoAkAAAAAMBVBEwAAAABgKoImAAAAAMBUBE1IkqLRbgWDEXk8IZWVTZfHE1IwGFE02m11aQAAAABsxhGPx+NWF5EvmQwYLSXRaLe83tlqaelQLJb8cnA6HaqtrVYk0iCXq9zCCgEAAABYLZM8xY4mFAo19QmZkhSLxdXS0qFQqMmiygAAAADYEUETCoeb+4TMhFgsrnC4Oc8VAQAAALAzgibU3t6V1eMAAAAAsDqCJlRTU5HV4wAAAACwOoIm5PPVyel09PuY0+mQz1eX54oAAAAA2BlBE/L761VbW90nbCa6zvr99RZVBgAAAMCOCJqQy1WuSKRBgYBXbnelnE6H3O5KBQJeRpsAAAAAyBhzNAEAAAAAg2KOJgAAAADAMgRNAAAAAICpCJoAAAAAAFMRNAEAAAAApiJoAgAAAABMRdAsANFot4LBiDyekMrKpsvjCSkYjCga7ba6NAAAAADIGONNLBaNdsvrna2Wlg7FYslPhdPpUG1tNXMsAQAAABQExpvYSCjU1CdkSlIsFldLS4dCoSaLKgMAAACAoSFoWiwcbu4TMhNisbjC4eYBj9Zy7BYAAABAobHV0dknn3xS06dP19tvv62RI0fK6/XqscceS/vjC/HobFnZ9JRBU0oeoe3vaO32228kh0N6++0vOHYLAAAAIKeK8ujsX//6V5100kk69dRTNW/ePM2ZM0fHH3+81WVlraamYsDHXa7hKY/Wvv32Ys2bt5hjtwAAAAAKii2C5sqVK3Xeeefphhtu0Jlnnqltt91W2223nY455hirS8uaz1cnp9PR72PGuiPljmc8brz1J3HsFgAAAADyzRZBs7m5WYsWLZLT6dSOO+6oTTbZRAcffLDmz59vdWlZ8/vrVVtb3SdsJo6/dnUtH/Jzt7d3ZVseAAAAAGTMFkHz448/liQFAgFdfvnl+sc//qF1111Xe+21l77++uuUH7d8+XJ1dnb2eis0Lle5IpEGBQJeud2VcjodcrsrFQh4FYk0aNNNh36XdLBjuQAAAACQC5YGzSlTpsjhcAz4tnDhQsViMUnSZZddpqOOOko77bST7r//fjkcDj3yyCMpn3/GjBmqqqpa9ebxePL1R8uIy1WuxkavWlv96um5Qq2tfjU2euVylQ94tNbhMN7643Q65PPV5bBqAAAAAOifpV1nlyxZoq+++mrA99lqq600Z84c7bPPPnrppZf005/+dNVju+66q/bbbz9dffXV/X7s8uXLtXx58uhpZ2enPB5PQXWdHUw02i2vdzZdZwEAAABYKpOus8PyVFO/NtxwQ2244YaDvt9OO+2kESNG6P33318VNFesWKFPP/1Um2++ecqPGzFihEaMGGFavVZIHK0NhZoUDjervb1LNTUV8vnq5PfXS1LKxwiZAAAAAKxgmzma559/vv7yl7/ovvvu+//27j+2qvr+4/jr3tIWWLkFpKU0vbDyYzURpLYIKZsWBgMmOjqNm4ww2BhVVo10G64z2Sg0E/kRr9GQQbMI0Sy6sYBE5jBQaKVSK/aHAgICqyiUoqK0vfyqcD/fP/y2Wgqltz29597b5yO5idxzTvO6fd/b6yvn3vPRsGHDtHr1ar322ms6fPiwBgwY0KGfEYzraAIAAABAKAiZM5r+WL16tXr16qW5c+fq4sWLmjBhgnbt2tXhkgkAAAAACIyQOaNpBc5oAgAAAEDn+NOnQmJ5EwAAAABA6KBoAgAAAAAsRdHsAbzeJhUUlMjt9igiYrncbo8KCkrk9TbZHQ0AAABAGOI7mmGuvXU4WWsTAAAAQEfxHU208HjK2pRMSfL5jKqr6+TxlNmUDAAAAEC4omiGucLCyjYls5nPZ1RYWBngRAAAAADCHUUzzNXWNnZpOwAAAAD4i6IZ5hIT+3VpOwAAAAD4i6IZ5rKz0+R0Oq67zel0KDs7LcCJAAAAAIQ7imaYy83NUGpqQpuy2XzV2dzcDJuSAQAAAAhXFM0wFxMTpZKS+crPz1RSkktOp0NJSS7l52eytAkAAACAbsE6mgAAAACAm2IdTQAAAACAbSiaAAAAAABLUTSDgNfbpIKCErndHkVELJfb7VFBQYm83ia7owEAAACA3/iOps283iZlZm5UdXWdfL5vRtF8VVgu2AMAAAAgGPAdzRDi8ZS1KZmS5PMZVVfXyeMpsykZAAAAAHQORdNmhYWVbUpmM5/PqLCwMsCJAAAAAKBrKJo2q61t7NJ2AAAAAAg2FE2bJSb269J2AAAAAAg2FE2bZWenyel0XHeb0+lQdnZagBMBAAAAQNdQNG2Wm5uh1NSENmWz+aqzubkZNiUDAAAAgM6haNosJiZKJSXzlZ+fqaQkl5xOh5KSXMrPz2RpEwAAAAAhiXU0AQAAAAA3xTqaAAAAAADbUDQBAAAAAJaiaAIAAAAALEXRBAAAAABYiqIJAAAAALAURRMAAAAAYCmKJgAAAADAUhRNAAAAAIClKJoAAAAAAEtRNAEAAAAAlqJohjCvt0kFBSVyuz2KiFgut9ujgoISeb1NdkcDAAAA0IM5jDHG7hCB0tDQoNjYWNXX18vlctkdp0u83iZlZm5UdXWdfL5vRuh0OpSamqCSkvmKiYmyMSEAAACAcOJPn+KMZojyeMralExJ8vmMqqvr5PGU2ZQMAAAAQE9H0QxRhYWVbUpmM5/PqLCwMsCJAAAAAOBrFM0QVVvb2KXtAAAAANBdKJohKjGxX5e2AwAAAEB3oWiGqOzsNDmdjutuczodys5OC3AiAAAAAPgaRTNE5eZmKDU1oU3ZbL7qbG5uhk3JAAAAAPR0FM0QFRMTpZKS+crPz1RSkktOp0NJSS7l52eytAkAAAAAW7GOJgAAAADgplhHEwAAAABgG4omAAAAAMBSFE0AAAAAgKUomgAAAAAAS1E0AQAAAACWomgGMa+3SQUFJXK7PYqIWC6326OCghJ5vU12RwMAAACAG2J5kyDl9TYpM3Ojqqvr5PN9MyKn06HU1ATWygQAAAAQUCxvEgY8nrI2JVOSfD6j6uo6eTxlNiUDAAAAgPZRNINUYWFlm5LZzOczKiysDHAiAAAAAOgYimaQqq1t7NJ2AAAAALALRTNIJSb269J2AAAAALALRTNIZWenyel0XHeb0+lQdnZagBMBAAAAQMdQNINUbm6GUlMT2pTN5qvO5uZm2JQMAAAAANpH0QxSMTFRKimZr/z8TCUlueR0OpSU5FJ+fiZLmwAAAAAIaqyjCQAAAAC4KdbRBAAAAADYhqIJAAAAALAURRMAAAAAYCmKJgAAAADAUhTNIOP1NqmgoERut0cREcvldntUUFAir7fJ7mgAAAAA0CFcdTaIeL1NyszcqOrqOvl834ylee1MljUBAAAAYBeuOhuiVq4sVVXV6VYlU5J8PqPq6jp5PGU2JQMAAACAjqNoBom6Oq+eeqpUNzq/7PMZFRZWBjYUAAAAAHQCRTMIeL1NSktb3+ZM5rVqaxsDlAgAAAAAOo+iGQQ8njKdPu296X6Jif0CkAYAAAAAuoaiGQQ6+pHY7Oy0bk4CAAAAAF1H0QwCHflIbGSkU7m5GQFIAwAAAABdQ9EMAh35SOwTT0xkaRMAAAAAIYGiGQSys9PkdDpuuH3IkBjl5d0VwEQAAAAA0HkUzSCQm5uh1NSE65bNIUNiVFn5MGczAQAAAIQMimYQiImJUknJfOXnZyopySWn06GkJJeWL5+kDz98TAkJMXZHBAAAAIAOcxhj2l+8MYw0NDQoNjZW9fX1crlcdscBAAAAgJDhT5/ijCYAAAAAwFIUTQAAAACApSiaAAAAAABLUTSDgNfbpIKCErndHkVELJfb7VFBQYm83ia7owEAAACA37gYkM283ibdddcLeu+9M/r2JBwOaezYwdqz59csbQIAAADAdlwMKISsXFmq6urWJVOSjJGqq89o5cpSe4IBAAAAQCdRNG323HPlXdoOAAAAAMEmZIrmhx9+qFmzZmnQoEFyuVz6wQ9+oN27d9sdq8saGtr/HubNtgMAAABAsAmZonnvvffqypUr2rVrlyoqKjR27Fjde++9qqurszsaAAAAAOBbQqJofv755zp69Kjy8vJ0++23a9SoUXr66ad14cIFHThwwO54XeJyRXdpOwAAAAAEm5AomrfccotSUlL04osv6vz587py5YrWr1+v+Ph4paen2x2vSx577M4ubQcAAACAYNPL7gAd4XA4tHPnTmVlZalfv35yOp2Kj4/X9u3bNWDAgBsed/nyZV2+fLnl3w0NDYGI65e8vLu0bdtRvf9+2+VNbr99sPLy7rIvHAAAAAB0gq1nNPPy8uRwONq9HT58WMYY5eTkKD4+Xnv27NE777yjrKws3XfffTp9+vQNf/6KFSsUGxvbcnO73QF8dB0TExOl0tJfa9mySUpKcsnpdCgpyaVlyyaptJQ1NAEAAACEHocx167gGDifffaZzp492+4+w4cP1549ezRt2jR9+eWXrRYGHTVqlBYsWKC8vLzrHnu9M5put7tDC4wCAAAAAL7R0NCg2NjYDvUpWz86GxcXp7i4uJvud+HCBUmS09n6BKzT6ZTP57vhcdHR0YqO5mI6AAAAABBIIXExoIyMDA0YMEDz5s3Te++9pw8//FBLlixRTU2NZs6caXc8AAAAAMC3hETRHDRokLZv3y6v16sf/vCHGjdunEpLS7V161aNHTvW7ngAAAAAgG+x9TuagebPZ4oBAAAAAN/wp0+FxBlNAAAAAEDooGgCAAAAACxF0QQAAAAAWIqiCQAAAACwFEUTAAAAAGApiiYAAAAAwFIUTQAAAACApSiaAAAAAABLUTQBAAAAAJaiaAIAAAAALEXRBAAAAABYiqIJAAAAALAURRMAAAAAYCmKJgAAAADAUhRNAAAAAIClKJoAAAAAAEtRNAEAAAAAlqJoAgAAAAAsRdEEAAAAAFiKogkAAAAAsBRFEwAAAABgKYomAAAAAMBSFE0AAAAAgKUomgAAAAAAS1E0AQAAAACWomgCAAAAACxF0QQAAAAAWIqiCQAAAACwFEUTAAAAAGApiiYAAAAAwFIUTQAAAACApSiaAAAAAABLUTQBAAAAAJaiaAIAAAAALEXRBAAAAABYiqIJAAAAALAURRMAAAAAYCmKJgAAAADAUhRNAAAAAIClKJoAAAAAAEv1sjtAIBljJEkNDQ02JwEAAACA0NLco5p7VXt6VNFsbGyUJLndbpuTAAAAAEBoamxsVGxsbLv7OExH6miY8Pl8qq2tVb9+/eRwOOyO00pDQ4Pcbrc++eQTuVwuu+P0OPz+7ccM7McM7McM7McM7McM7McM7BesMzDGqLGxUYmJiXI62/8WZo86o+l0OpWUlGR3jHa5XK6gejL1NPz+7ccM7McM7McM7McM7McM7McM7BeMM7jZmcxmXAwIAAAAAGApiiYAAAAAwFIUzSARHR2tpUuXKjo62u4oPRK/f/sxA/sxA/sxA/sxA/sxA/sxA/uFwwx61MWAAAAAAADdjzOaAAAAAABLUTQBAAAAAJaiaAIAAAAALEXRBAAAAABYiqJpg48++kgLFixQcnKy+vTpoxEjRmjp0qVqampq97hLly4pJydHt9xyi2JiYvTAAw/ozJkzAUodfv76179q4sSJ6tu3r/r379+hY+bPny+Hw9HqNmPGjO4NGsY6MwNjjP7yl79oyJAh6tOnj6ZOnaqjR492b9Aw9sUXX2jOnDlyuVzq37+/FixYIK/X2+4xkyZNavM6eOSRRwKUOPStXbtW3/3ud9W7d29NmDBB77zzTrv7b9q0Sbfeeqt69+6tMWPG6PXXXw9Q0vDlzww2btzY5vneu3fvAKYNL2+++abuu+8+JSYmyuFw6NVXX73pMcXFxUpLS1N0dLRGjhypjRs3dnvOcObvDIqLi9u8BhwOh+rq6gITOAytWLFCd955p/r166f4+HhlZWXpyJEjNz0u1N4PKJo2OHz4sHw+n9avX6+DBw/K4/Fo3bp1evLJJ9s9Ljc3V6+99po2bdqkkpIS1dbW6v777w9Q6vDT1NSkBx98UIsWLfLruBkzZuj06dMtt5dffrmbEoa/zsxg1apVeu6557Ru3TqVl5frO9/5jqZPn65Lly51Y9LwNWfOHB08eFA7duzQtm3b9Oabbyo7O/umxy1cuLDV62DVqlUBSBv6/vnPf+p3v/udli5dqsrKSo0dO1bTp0/Xp59+et399+7dq9mzZ2vBggWqqqpSVlaWsrKydODAgQAnDx/+zkCSXC5Xq+f7iRMnApg4vJw/f15jx47V2rVrO7R/TU2NZs6cqcmTJ6u6ulqLFy/Wb37zG73xxhvdnDR8+TuDZkeOHGn1OoiPj++mhOGvpKREOTk5evvtt7Vjxw599dVXmjZtms6fP3/DY0Ly/cAgKKxatcokJyffcPu5c+dMZGSk2bRpU8t9hw4dMpJMWVlZICKGrQ0bNpjY2NgO7Ttv3jwza9asbs3TE3V0Bj6fzyQkJJjVq1e33Hfu3DkTHR1tXn755W5MGJ4++OADI8ns27ev5b7//ve/xuFwmFOnTt3wuMzMTPP4448HIGH4GT9+vMnJyWn599WrV01iYqJZsWLFdff/2c9+ZmbOnNnqvgkTJpiHH364W3OGM39n4M97BPwjyWzZsqXdfZ544glz2223tbrv5z//uZk+fXo3Jus5OjKD3bt3G0nmyy+/DEimnujTTz81kkxJSckN9wnF9wPOaAaJ+vp6DRw48IbbKyoq9NVXX2nq1Kkt9916660aOnSoysrKAhER/6+4uFjx8fFKSUnRokWLdPbsWbsj9Rg1NTWqq6tr9TqIjY3VhAkTeB10QllZmfr3769x48a13Dd16lQ5nU6Vl5e3e+w//vEPDRo0SKNHj9af/vQnXbhwobvjhrympiZVVFS0ev46nU5NnTr1hs/fsrKyVvtL0vTp03m+d1JnZiBJXq9Xw4YNk9vt1qxZs3Tw4MFAxIV4DQST1NRUDRkyRD/60Y/01ltv2R0nrNTX10tSu10gFF8LvewOAOnYsWN6/vnntWbNmhvuU1dXp6ioqDbfYxs8eDCfkQ+gGTNm6P7771dycrKOHz+uJ598Uj/+8Y9VVlamiIgIu+OFvebn+uDBg1vdz+ugc+rq6tp89KlXr14aOHBgu7/PX/ziFxo2bJgSExP1/vvv649//KOOHDmizZs3d3fkkPb555/r6tWr133+Hj58+LrH1NXV8Xy3UGdmkJKSohdeeEG333676uvrtWbNGk2cOFEHDx5UUlJSIGL3aDd6DTQ0NOjixYvq06ePTcl6jiFDhmjdunUaN26cLl++rL///e+aNGmSysvLlZaWZne8kOfz+bR48WJ9//vf1+jRo2+4Xyi+H3BG00J5eXnX/bL0t2/XvpGdOnVKM2bM0IMPPqiFCxfalDx8dGYG/njooYf0k5/8RGPGjFFWVpa2bdumffv2qbi42LoHEeK6ewa4ue6eQXZ2tqZPn64xY8Zozpw5evHFF7VlyxYdP37cwkcBBIeMjAz98pe/VGpqqjIzM7V582bFxcVp/fr1dkcDAiIlJUUPP/yw0tPTNXHiRL3wwguaOHGiPB6P3dHCQk5Ojg4cOKBXXnnF7iiW44ymhX7/+99r/vz57e4zfPjwlv+ura3V5MmTNXHiRBUWFrZ7XEJCgpqamnTu3LlWZzXPnDmjhISErsQOK/7OoKuGDx+uQYMG6dixY5oyZYplPzeUdecMmp/rZ86c0ZAhQ1ruP3PmjFJTUzv1M8NRR2eQkJDQ5gIoV65c0RdffOHX35UJEyZI+vrTGSNGjPA7b08xaNAgRUREtLlaeHt/xxMSEvzaH+3rzAyuFRkZqTvuuEPHjh3rjoi4xo1eAy6Xi7OZNho/frxKS0vtjhHyHn300ZYL8d3sExKh+H5A0bRQXFyc4uLiOrTvqVOnNHnyZKWnp2vDhg1yOts/uZyenq7IyEgVFRXpgQcekPT11b8+/vhjZWRkdDl7uPBnBlY4efKkzp4926r09HTdOYPk5GQlJCSoqKiopVg2NDSovLzc76sHh7OOziAjI0Pnzp1TRUWF0tPTJUm7du2Sz+drKY8dUV1dLUm8Dm4iKipK6enpKioqUlZWlqSvPzJVVFSkRx999LrHZGRkqKioSIsXL265b8eOHfzd76TOzOBaV69e1f79+3XPPfd0Y1I0y8jIaLOEA68B+1VXV/M3vwuMMXrssce0ZcsWFRcXKzk5+abHhOT7gd1XI+qJTp48aUaOHGmmTJliTp48aU6fPt1y+/Y+KSkppry8vOW+Rx55xAwdOtTs2rXLvPvuuyYjI8NkZGTY8RDCwokTJ0xVVZVZtmyZiYmJMVVVVaaqqso0Nja27JOSkmI2b95sjDGmsbHR/OEPfzBlZWWmpqbG7Ny506SlpZlRo0aZS5cu2fUwQpq/MzDGmKefftr079/fbN261bz//vtm1qxZJjk52Vy8eNGOhxDyZsyYYe644w5TXl5uSktLzahRo8zs2bNbtl/7t+jYsWNm+fLl5t133zU1NTVm69atZvjw4ebuu++26yGElFdeecVER0ebjRs3mg8++MBkZ2eb/v37m7q6OmOMMXPnzjV5eXkt+7/11lumV69eZs2aNebQoUNm6dKlJjIy0uzfv9+uhxDy/J3BsmXLzBtvvGGOHz9uKioqzEMPPWR69+5tDh48aNdDCGmNjY0tf+slmWeeecZUVVWZEydOGGOMycvLM3Pnzm3Z/3//+5/p27evWbJkiTl06JBZu3atiYiIMNu3b7frIYQ8f2fg8XjMq6++ao4ePWr2799vHn/8ceN0Os3OnTvtegghb9GiRSY2NtYUFxe36gEXLlxo2Scc3g8omjbYsGGDkXTdW7OamhojyezevbvlvosXL5rf/va3ZsCAAaZv377mpz/9aatyCv/MmzfvujP49u9cktmwYYMxxpgLFy6YadOmmbi4OBMZGWmGDRtmFi5c2PI/J/CfvzMw5uslTv785z+bwYMHm+joaDNlyhRz5MiRwIcPE2fPnjWzZ882MTExxuVymV/96letiv61f4s+/vhjc/fdd5uBAwea6OhoM3LkSLNkyRJTX19v0yMIPc8//7wZOnSoiYqKMuPHjzdvv/12y7bMzEwzb968Vvv/61//Mt/73vdMVFSUue2228x//vOfACcOP/7MYPHixS37Dh482Nxzzz2msrLShtThoXmpjGtvzb/zefPmmczMzDbHpKammqioKDN8+PBW7wnwn78zWLlypRkxYoTp3bu3GThwoJk0aZLZtWuXPeHDxI16wLef2+HwfuAwxpjuPGMKAAAAAOhZuOosAAAAAMBSFE0AAAAAgKUomgAAAAAAS1E0AQAAAACWomgCAAAAACxF0QQAAAAAWIqiCQAAAACwFEUTAAAAAGApiiYAAAAAwFIUTQAAAACApSiaAADY6LPPPlNCQoKeeuqplvv27t2rqKgoFRUV2ZgMAIDOcxhjjN0hAADoyV5//XVlZWVp7969SklJUWpqqmbNmqVnnnnG7mgAAHQKRRMAgCCQk5OjnTt3aty4cdq/f7/27dun6Ohou2MBANApFE0AAILAxYsXNXr0aH3yySeqqKjQmDFj7I4EAECn8R1NAACCwPHjx1VbWyufz6ePPvrI7jgAAHQJZzQBALBZU1OTxo8fr9TUVKWkpOjZZ5/V/v37FR8fb3c0AAA6haIJAIDNlixZon//+9967733FBMTo8zMTMXGxmrbtm12RwMAoFP46CwAADYqLi7Ws88+q5deekkul0tOp1MvvfSS9uzZo7/97W92xwMAoFM4owkAAAAAsBRnNAEAAAAAlqJoAgAAAAAsRdEEAAAAAFiKogkAAAAAsBRFEwAAAABgKYomAAAAAMBSFE0AAAAAgKUomgAAAAAAS1E0AQAAAACWomgCAAAAACxF0QQAAAAAWIqiCQAAAACw1P8BwlHjbXOqL2cAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SGNT--o_o-9Y"
      },
      "source": [
        "## Univariate Feature Exploration"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8mh52lDYo-9Y",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a6c23845-839d-403b-bafc-7882a0a67362"
      },
      "source": [
        "from sklearn.datasets import load_iris\n",
        "from sklearn.svm import SVC\n",
        "\n",
        "iris = load_iris()\n",
        "\n",
        "X = iris.data\n",
        "y = iris.target\n",
        "print(X.shape, y.shape)\n",
        "\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "svc = SVC(kernel='linear', C=1E0)\n",
        "print(X.shape, y.shape)\n",
        "\n",
        "n_classes = 3\n",
        "colors = 'byr'\n",
        "CMAP = colors\n",
        "plot_step = 0.01\n",
        "\n",
        "# Add random noise\n",
        "rns = np.random.RandomState(12)\n",
        "#noise1 = rns.lognormal(mean=1, size=(len(X), 1))\n",
        "noise2 = rns.uniform(0, 6, size=(len(X), 1))\n",
        "\n",
        "#X_noise = np.hstack([X, noise1])\n",
        "X_noise = np.hstack([X, noise2])"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(150, 4) (150,)\n",
            "(150, 4) (150,)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fcMKN8vZo-9a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 987
        },
        "outputId": "f8d0f8eb-46c8-41b6-c18e-af3acfe04f42"
      },
      "source": [
        "Y_feature_names = iris.feature_names\n",
        "Y_target_names = iris.target_names\n",
        "Y_feature_names = np.append(Y_feature_names, 'noise1')\n",
        "#Y_feature_names = np.append(Y_feature_names, 'noise2')\n",
        "Y_target_names = np.append(Y_target_names, 'noise1')\n",
        "#Y_target_names = np.append(Y_target_names, 'noise2')\n",
        "\n",
        "\n",
        "#fig = plt.figure(1, figsize=(9, 16))\n",
        "fig = plt.figure(1, figsize=(16, 9))\n",
        "\n",
        "BINS = []\n",
        "BINS.append(np.arange(4, 8, 0.1))\n",
        "BINS.append(np.arange(2, 5, 0.1))\n",
        "BINS.append(np.arange(1, 7, 0.1))\n",
        "BINS.append(np.arange(0, 3, 0.1))\n",
        "BINS.append(np.arange(0, 6, 0.1))\n",
        "#BINS.append(np.arange(0, 6, 0.1))\n",
        "for fid in range(4):\n",
        "#for fid in range(5):\n",
        "    X = X_noise[:, fid]\n",
        "    y = iris.target\n",
        "\n",
        "    #plt.subplot(3, 2, fid + 1)\n",
        "    plt.subplot(2, 2, fid + 1)\n",
        "\n",
        "    plt.xlabel(Y_feature_names[fid])\n",
        "    plt.ylabel('n examples')\n",
        "    plt.axis(\"tight\")\n",
        "\n",
        "    for i, color in zip(range(n_classes), colors):\n",
        "        idx = np.where(y == i)\n",
        "        clf = svc.fit(X.reshape([150,1]), y)\n",
        "        print(clf.score(X.reshape([150,1]), y))\n",
        "        plt.hist(X[idx], alpha=0.6, color=color, edgecolor='black', lw=1, label=Y_target_names[i],\n",
        "                 bins=BINS[fid])\n",
        "        if fid==3:\n",
        "            plt.legend(loc='upper right')\n",
        "\n",
        "    plt.axis(\"tight\")\n",
        "\n",
        "plt.show()\n",
        "\n",
        "# fig.savefig('ML_0501.png', bbox_inches='tight')\n",
        "# plt.clf()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.7466666666666667\n",
            "0.7466666666666667\n",
            "0.7466666666666667\n",
            "0.5533333333333333\n",
            "0.5533333333333333\n",
            "0.5533333333333333\n",
            "0.9533333333333334\n",
            "0.9533333333333334\n",
            "0.9533333333333334\n",
            "0.96\n",
            "0.96\n",
            "0.96\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x900 with 4 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hPXEwCqyo-9b"
      },
      "source": [
        "## Bivariate Feature Exploration"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cCdZA0VXo-9b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 698
        },
        "outputId": "90b64747-0892-4566-b524-86bb8f47dbf0"
      },
      "source": [
        "from scipy.stats import pearsonr\n",
        "\n",
        "Y_feature_names = iris.feature_names\n",
        "#Y_target_names = iris.target_names\n",
        "#Y_feature_names = np.append(Y_feature_names, 'noise1')\n",
        "#Y_feature_names = np.append(Y_feature_names, 'noise2')\n",
        "#Y_target_names = np.append(Y_target_names, 'noise1')\n",
        "#Y_target_names = np.append(Y_target_names, 'noise2')\n",
        "\n",
        "\n",
        "n_classes = 3\n",
        "colors = 'byr'\n",
        "CMAP = colors\n",
        "plot_step = 0.01\n",
        "\n",
        "#____________________________________________________________________\n",
        "fig = plt.figure(1, figsize=(18, 9))\n",
        "\n",
        "pos = [[6.2, 4.2], [4.5, 6.5], [7, 0.5], [3.5, 3], [3.5, 1], [5, 0.5]]\n",
        "\n",
        "for pairidx, pair in enumerate([[0, 1], [0, 2], [0, 3],\n",
        "                                [1, 2], [1, 3], [2, 3]]):\n",
        "    X = iris.data[:, pair]\n",
        "    y = iris.target\n",
        "\n",
        "    plt.subplot(2, 3, pairidx + 1)\n",
        "\n",
        "    plt.xlabel(iris.feature_names[pair[0]])\n",
        "    plt.ylabel(iris.feature_names[pair[1]])\n",
        "    plt.axis(\"tight\")\n",
        "\n",
        "    for i, color in zip(range(n_classes), colors):\n",
        "        idx = np.where(y == i)\n",
        "        plt.scatter(X[idx, 0], X[idx, 1], c=color, edgecolor='black', lw=2, label=iris.target_names[i],\n",
        "                    cmap=CMAP)\n",
        "\n",
        "    r = \"r = \" + str(round(pearsonr(X[:, 0], X[:, 1])[0], 3))\n",
        "    plt.text(pos[pairidx][0], pos[pairidx][1], r)\n",
        "    plt.axis(\"tight\")\n",
        "    plt.axis(\"tight\")\n",
        "\n",
        "plt.legend(loc='upper left')\n",
        "plt.show()\n",
        "\n",
        "# fig.savefig('ML_0502.png', bbox_inches='tight')\n",
        "# plt.clf()"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x900 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YFFZBNy-o-9e"
      },
      "source": [
        "## Korrelation zwischen Feature und Target"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vKuVNpILo-9f",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fb5c6816-563c-43d1-e535-f315ef775b4e"
      },
      "source": [
        "from sklearn.datasets import load_iris\n",
        "import numpy as np\n",
        "from scipy.stats import pearsonr # pearson package from scipy\n",
        "iris = load_iris() # reload data\n",
        "X = iris.data\n",
        "y = iris.target\n",
        "for fid in (0, 1, 2, 3): # loop over all features\n",
        "    idx = np.where( (y == 0) | (y == 1) )\n",
        "    x = X[idx]\n",
        "    x = x[:, fid]\n",
        "    print(iris.feature_names[fid], pearsonr(x, y[idx])[0])"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "sepal length (cm) 0.7282901487462142\n",
            "sepal width (cm) -0.690684336405237\n",
            "petal length (cm) 0.969990231486349\n",
            "petal width (cm) 0.9603069679112729\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "D7Bfdkw6o-9i",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f57b8ee4-5656-4188-94ff-40ec1118464a"
      },
      "source": [
        "x = np.random.uniform(-1, 1, 1000)\n",
        "print(pearsonr(x, x**2)[0])"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.016871739935462947\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "fl690nJfo-9j"
      },
      "source": [
        "## Principal Component Analyse"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JwLnd5Kqo-9j",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b218865c-25c2-4305-cb77-36f47b90632b"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "rns = np.random.RandomState(12)\n",
        "\n",
        "size = 200\n",
        "X = np.zeros((size, 2))\n",
        "x1 = rns.uniform(0, 2, size=size)\n",
        "x2 = -1.1*x1+1.8 + rns.normal(0, 0.2, size=size)\n",
        "X[:, 0] = x1\n",
        "X[:, 1] = x2\n",
        "\n",
        "from sklearn.decomposition import PCA\n",
        "\n",
        "pca = PCA(n_components=2, whiten=True)\n",
        "pca.fit(X)\n",
        "\n",
        "print(pca.explained_variance_)\n",
        "print()\n",
        "print(pca.components_)\n",
        "print()\n",
        "print(pca.mean_)\n",
        "print()"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0.81109522 0.0167764 ]\n",
            "\n",
            "[[-0.64570541  0.76358662]\n",
            " [-0.76358662 -0.64570541]]\n",
            "\n",
            "[1.0178832 0.6643377]\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tGknYWlxo-9l",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 966
        },
        "outputId": "cb870b81-10be-4b9e-e6c6-ce61b1a56613"
      },
      "source": [
        "fig = plt.figure(figsize=(16, 11))\n",
        "\n",
        "plt.scatter(X[:, 0], X[:, 1])\n",
        "arrowprops = dict(arrowstyle='->',\n",
        "                  linewidth=2, shrinkA=0, shrinkB=0)\n",
        "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
        "    print(vector)\n",
        "    v = vector * 1 * np.sqrt(length)\n",
        "    ax = plt.gca()\n",
        "    ax.annotate('', pca.mean_ + v, pca.mean_, arrowprops=arrowprops)\n",
        "\n",
        "plt.axis('equal')\n",
        "plt.xlim(0, 2)\n",
        "plt.ylim(0, 2)\n",
        "plt.xlabel('x1')\n",
        "plt.ylabel('x2')\n",
        "\n",
        "# fig.savefig('ML_0515.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[-0.64570541  0.76358662]\n",
            "[-0.76358662 -0.64570541]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1100 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "M--XsTOZo-9n",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 932
        },
        "outputId": "6ab4f642-0169-43a8-a0d6-db3d390592c1"
      },
      "source": [
        "fig = plt.figure(figsize=(16, 11))\n",
        "\n",
        "X_pca = pca.transform(X)\n",
        "plt.scatter(X_pca[:, 0], X_pca[:, 1])\n",
        "\n",
        "plt.annotate('', [0, 2], [0, 0], arrowprops=arrowprops)\n",
        "plt.annotate('', [2, 0], [0, 0], arrowprops=arrowprops)\n",
        "\n",
        "plt.axis('equal')\n",
        "plt.xlim(-3, 3)\n",
        "plt.ylim(-3, 3)\n",
        "plt.xlabel('pca component 1')\n",
        "plt.ylabel('pca component 2')\n",
        "\n",
        "# fig.savefig('ML_0516.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1100 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dxr12DIzo-9p",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 696
        },
        "outputId": "74041959-f72a-4ca5-9ee3-50dbe840097d"
      },
      "source": [
        "from sklearn.datasets import load_iris\n",
        "from sklearn.decomposition import PCA\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "n_classes = 3\n",
        "colors = 'byr'\n",
        "CMAP = colors\n",
        "\n",
        "iris = load_iris()\n",
        "\n",
        "X = iris.data\n",
        "y = iris.target\n",
        "\n",
        "Y_target_names = iris.target_names\n",
        "\n",
        "\n",
        "pca = PCA(n_components=2, whiten=True)\n",
        "pca.fit(X)\n",
        "\n",
        "#_________________________________________________________\n",
        "fig = plt.figure(figsize=(12, 8))\n",
        "\n",
        "X_pca = pca.transform(X)\n",
        "\n",
        "for i, color in zip(range(n_classes), colors):\n",
        "    idx = np.where(y == i)\n",
        "    plt.scatter(X_pca[idx, 0], X_pca[idx, 1], label = Y_target_names[i],  c=color,\n",
        "                edgecolor='black', lw=2, cmap=CMAP)\n",
        "\n",
        "plt.axis(\"tight\")\n",
        "plt.xlabel('pca component 1')\n",
        "plt.ylabel('pca component 2')\n",
        "plt.legend(loc='upper center')\n",
        "\n",
        "# fig.savefig('ML_0519.png', bbox_inches='tight')\n",
        "plt.show()\n",
        "# plt.clf()"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5X0moN-Co-9r"
      },
      "source": [
        "## Featureselektion"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vtXJy9Hgo-9r",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a6d6d0a8-5050-43a9-d3ca-0dca8bd9745b"
      },
      "source": [
        "from sklearn.datasets import load_iris\n",
        "from sklearn.svm import SVC\n",
        "import numpy as np\n",
        "\n",
        "iris = load_iris()\n",
        "X = iris.data\n",
        "y = iris.target\n",
        "\n",
        "# reference score\n",
        "svc = SVC(kernel='linear', C=1)\n",
        "clf = svc.fit(X, y)\n",
        "print(clf.score(X, y))"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.9933333333333333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "O0lPqoFGo-9t",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "04c66353-b5aa-47ad-f623-84b70b14aeee"
      },
      "source": [
        "# Add random noise as non informative data\n",
        "rns = np.random.RandomState(12)\n",
        "noise = rns.uniform(0, 6, size=(len(X), 1))\n",
        "X = np.hstack([X, noise])\n",
        "\n",
        "# Score with all noise\n",
        "clf = svc.fit(X, y)\n",
        "print(clf.score(X, y))"
      ],
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.9933333333333333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EGnTye5ro-9v"
      },
      "source": [
        "from sklearn.feature_selection import SelectKBest\n",
        "from sklearn.feature_selection import f_classif\n",
        "\n",
        "selector = SelectKBest(f_classif, k=4)\n",
        "X_sel = selector.fit_transform(X, y)"
      ],
      "execution_count": 32,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BZXW3xZEo-9x",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fa905ecf-b221-402a-f78c-6771d95846ba"
      },
      "source": [
        "print(selector.scores_)"
      ],
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.19264502e+02 4.91600401e+01 1.18016118e+03 9.60007147e+02\n",
            " 9.48960689e-01]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X9icJTY6o-90",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "dd435935-350b-4610-aad4-55cbe2ce4c75"
      },
      "source": [
        "svc = SVC(kernel='linear', C=1)\n",
        "clf = svc.fit(X_sel, y)\n",
        "print(clf.score(X_sel, y))"
      ],
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.9933333333333333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Iy6elm8Qo-91"
      },
      "source": [
        "## Selektion nach Tree-Modellen"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KVrKK5pNo-92",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fe987701-27eb-4e12-c3a2-467449c4a1a8"
      },
      "source": [
        "from sklearn.feature_selection import SelectFromModel\n",
        "from sklearn.ensemble import RandomForestClassifier\n",
        "\n",
        "clf = RandomForestClassifier()\n",
        "clf.fit(X, y)\n",
        "print(clf.feature_importances_)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0.12959843 0.0421072  0.39857662 0.40942289 0.02029487]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MNS96I_Ro-93",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0d1b703b-70e1-4d60-c96e-4901f0187186"
      },
      "source": [
        "selector = SelectFromModel(clf, threshold=0.02)\n",
        "X_sel = selector.fit_transform(X, y)\n",
        "print(selector.get_support())"
      ],
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[ True  True  True  True  True]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "masCa8pso-95",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2baf6021-f2f6-4a05-dce8-4235ac2c5014"
      },
      "source": [
        "svc = SVC(kernel='linear')\n",
        "clf = svc.fit(X_sel, y)\n",
        "print(clf.score(X_sel, y))"
      ],
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.9933333333333333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "htdK7Awto-97"
      },
      "source": [
        "## Rekursive Eliminierung nach Modellen"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "06QeC-0Yo-97",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 75
        },
        "outputId": "434af413-7f4b-42d7-c392-f75fd54b59fb"
      },
      "source": [
        "from sklearn.ensemble import RandomForestClassifier\n",
        "clf = RandomForestClassifier(random_state=12)\n",
        "clf.fit(X, y)"
      ],
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "RandomForestClassifier(random_state=12)"
            ],
            "text/html": [
              "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>RandomForestClassifier(random_state=12)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">RandomForestClassifier</label><div class=\"sk-toggleable__content\"><pre>RandomForestClassifier(random_state=12)</pre></div></div></div></div></div>"
            ]
          },
          "metadata": {},
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wf-DKLjZo--A"
      },
      "source": [
        "from sklearn.feature_selection import RFE\n",
        "selector = RFE(clf, n_features_to_select=4)"
      ],
      "execution_count": 39,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "w7VvfvFdo--D"
      },
      "source": [
        "selector = selector.fit(X, y)"
      ],
      "execution_count": 40,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GDjg3CvSo--F",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "cf6def73-4c7a-45ca-9e73-2b2000306741"
      },
      "source": [
        "print(selector.get_support())"
      ],
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[ True  True  True  True False]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bJvAuSQuo--I"
      },
      "source": [],
      "execution_count": 41,
      "outputs": []
    }
  ]
}