{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# クイックスタートガイド\n",
        "\n",
        "このノートブックでは,流線トポロジー解析のライブラリである `psiclone`\n",
        "の使い方を見ていきます.\n",
        "\n",
        "## ライブラリの基本情報と読み込み\n",
        "\n",
        "このチュートリアルでは,`psiclone>=0.4.2` を仮定しています.`psiclone`\n",
        "のバージョンは,`pip show` か,もしくは `psiclone.version`\n",
        "を見ることで調べられます.\n",
        "\n",
        "2025/04/01 時点での最新版は `v0.4.2` になります."
      ],
      "id": "df158b8e-41fb-42a9-8553-8e789119f9bb"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Name: psiclone\n",
            "Version: 0.4.2\n",
            "Summary: Toolbox for Topological Flow Data Analysis using COT Representations\n",
            "Home-page: https://github.com/t-uda/psiclone\n",
            "Author: Tomoki Uda\n",
            "Author-email: uda0@sci.u-toyama.ac.jp\n",
            "License: MIT\n",
            "Location: /opt/build/repo/.venv/lib/python3.12/site-packages\n",
            "Requires: matplotlib, msgpack, networkx, numpy, scipy\n",
            "Required-by: \n",
            "Note: you may need to restart the kernel to use updated packages."
          ]
        }
      ],
      "source": [
        "%pip show psiclone"
      ],
      "id": "529ba3d7"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Help on module psiclone.version in psiclone:\n",
            "\n",
            "NAME\n",
            "    psiclone.version\n",
            "\n",
            "FUNCTIONS\n",
            "    version()\n",
            "\n",
            "VERSION\n",
            "    0.4.2\n",
            "\n",
            "FILE\n",
            "    /opt/build/repo/.venv/lib/python3.12/site-packages/psiclone/version.py\n",
            "\n"
          ]
        }
      ],
      "source": [
        "import psiclone\n",
        "\n",
        "help(psiclone.version)"
      ],
      "id": "173bf39d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "何か分からないことがあった時は,上の例のように一度 `help(...)`\n",
        "を試してみると良いでしょう.(これは `python`\n",
        "に限らない極めて初歩的かつ一般的なアドバイスです.)"
      ],
      "id": "e7c302b9-ea6c-4e5d-8bd5-bf5911ecfd0c"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Help on package psiclone:\n",
            "\n",
            "NAME\n",
            "    psiclone - Toolbox for Topological Flow Data Analysis using COT Representations\n",
            "\n",
            "PACKAGE CONTENTS\n",
            "    compatibility (package)\n",
            "    cot\n",
            "    data (package)\n",
            "    experimental (package)\n",
            "    psi2tree\n",
            "    reeb (package)\n",
            "    test (package)\n",
            "    util (package)\n",
            "    version\n",
            "    visualization (package)\n",
            "\n",
            "FILE\n",
            "    /opt/build/repo/.venv/lib/python3.12/site-packages/psiclone/__init__.py\n",
            "\n"
          ]
        }
      ],
      "source": [
        "help(psiclone)"
      ],
      "id": "c9a8808a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "このように,`psiclone`\n",
        "がいくつかのサブパッケージからなることが分かります.ここでは,`reeb`,\n",
        "`visualization` を予め読み込んでおきます."
      ],
      "id": "877de388-6e1c-4280-a916-48b0d055c7b9"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "import psiclone.reeb\n",
        "import psiclone.visualization"
      ],
      "id": "d838c633"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# 入力データ形式の取り扱い\n",
        "\n",
        "## データの読み込み\n",
        "\n",
        "さて,本格的なチュートリアルに入って行きましょう.まず,データの読み書き等の処理にはもちろん\n",
        "`numpy` が便利です.また,可視化のために `matplotlib` や `networkx`\n",
        "があると便利です."
      ],
      "id": "20a7a035-7809-4998-ba82-6419d8173850"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import networkx\n",
        "import numpy"
      ],
      "id": "d8c01c43"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 入力データ `GrayscaleImage`\n",
        "\n",
        "レーブグラフを計算する際の典型的な入力データは $n \\times m$\n",
        "実スカラー配列です.これは `GrayscaleImage`\n",
        "クラスで扱います.せっかくですから,最初だけ `help` も見ておきましょう."
      ],
      "id": "a0f35c19-0617-4a6c-bddd-a36753ef339d"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Help on class GrayscaleImage in module psiclone.data.image:\n",
            "\n",
            "class GrayscaleImage(psiclone.data.abstract_graph.AbstractGraph)\n",
            " |  GrayscaleImage(array, *, adjacency=array([[0, 1],\n",
            " |         [1, 0]], dtype=int32))\n",
            " |\n",
            " |  A `GrayscaleImage` object represents an `(n, m)`-shaped scalar array.\n",
            " |  This object inherits from `AbstractGraph` and is regarded as a lattice graph.\n",
            " |\n",
            " |  Nodes, edges and link_table are compatible with those of `Geometry` graphs.\n",
            " |  Nodes are pixels locating at the 2D integer lattice. Compared to typical\n",
            " |  lattice graphs, the adjacency of `GrayscaleImage` is generalized in the sense\n",
            " |  that any lattice point is connected to points in its reference ball neighborhood.\n",
            " |  The ball neighborhood is specified by `adjacency` parameter and no entities\n",
            " |  of the links are maintained. This nontypical adjacency structure is intended\n",
            " |  to deal with topological noises in grayscale images, and to avoid overuse of\n",
            " |  memory in the case where the datasize and the ball neighborhood are large.\n",
            " |\n",
            " |  Parameters\n",
            " |  ---------\n",
            " |  array : `numpy.ndarray`\n",
            " |      A two-dimensional numeric array representing a gray-scale image.\n",
            " |\n",
            " |  adjacency : `numpy.ndarray`, default=`four_points_adjacency()`\n",
            " |      A two-dimensional numeric array representing the lattice adjacency.\n",
            " |\n",
            " |  Notes\n",
            " |  -----\n",
            " |  The `adjacency` parameter is intended to use one of the following functions generating such an array.\n",
            " |\n",
            " |  - `box_adjacency(r)`: Connects all lattice points within a box of radius `r`.\n",
            " |  - `ball_adjacency(p, r)`: Connects all lattice points within an L^p ball of radius `r`.\n",
            " |  - `four_points_adjacency()`: Equivalent to `ball_adjacency(1, 1)` (default).\n",
            " |  - `eight_points_adjacency()`: Equivalent to `box_adjacency(1)`\n",
            " |\n",
            " |  Method resolution order:\n",
            " |      GrayscaleImage\n",
            " |      psiclone.data.abstract_graph.AbstractGraph\n",
            " |      builtins.object\n",
            " |\n",
            " |  Methods defined here:\n",
            " |\n",
            " |  __init__(self, array, *, adjacency=array([[0, 1],\n",
            " |         [1, 0]], dtype=int32))\n",
            " |      Initialize self.  See help(type(self)) for accurate signature.\n",
            " |\n",
            " |  is_in_bound(self, i, j)\n",
            " |\n",
            " |  to_geometry(self)\n",
            " |      Convert a given 2D array `pict` to a grid geometry.\n",
            " |      An edge in a grid geometry links four-point neighbors,\n",
            " |      whereas a node in a grid geometry consists of properties\n",
            " |      `{'x': i, 'y': j, 'level': pict[i, j], 'geotype': 0}`.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      geometry : `psiclone.data.Geometry`\n",
            " |          A grid geometry.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Class methods defined here:\n",
            " |\n",
            " |  create_graph()\n",
            " |      Factory method of GrayscaleImage.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Readonly properties defined here:\n",
            " |\n",
            " |  data\n",
            " |\n",
            " |  edges\n",
            " |\n",
            " |  link_table\n",
            " |\n",
            " |  nodes\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Data and other attributes defined here:\n",
            " |\n",
            " |  MockLinkTable = <class 'psiclone.data.image.GrayscaleImage.MockLinkTab...\n",
            " |      A mock link table of GrayscaleImage without maintaining its Edge entities.\n",
            " |\n",
            " |\n",
            " |  __abstractmethods__ = frozenset()\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Methods inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
            " |\n",
            " |  to_network(self)\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Data descriptors inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
            " |\n",
            " |  __dict__\n",
            " |      dictionary for instance variables\n",
            " |\n",
            " |  __weakref__\n",
            " |      list of weak references to the object\n"
          ]
        }
      ],
      "source": [
        "help(psiclone.data.GrayscaleImage)"
      ],
      "id": "fe9416e9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "ヘルプに `GrayscaleImage(array, *, ......)`\n",
        "と書いて行があることに着目してください.これはこのクラスの初期化方法を表しています.これにより,配列を引数として与えて初期化できることが分かります.実際にやってみましょう."
      ],
      "id": "a05df915-7ab3-4049-a6ce-e5c7723ab1d4"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "data = numpy.arange(12).reshape((3, 4))\n",
        "img = psiclone.data.GrayscaleImage(data)"
      ],
      "id": "67c68666"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "`GrayscaleImage` オブジェクトは `AbstractGraph`\n",
        "を継承しており,グラフ構造を持っています."
      ],
      "id": "2e2cf7d8-6861-495b-ac5a-0180c45d9e37"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "[Point(id=np.int64(0), level=np.int64(0), x=np.int64(0), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.498091544796509)),\n",
              " Point(id=np.int64(1), level=np.int64(1), x=np.int64(1), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.1587989303424644)),\n",
              " Point(id=np.int64(2), level=np.int64(2), x=np.int64(2), y=np.int64(0), geotype=np.int64(1), order=np.float64(-1.5707963267948966)),\n",
              " Point(id=np.int64(3), level=np.int64(3), x=np.int64(3), y=np.int64(0), geotype=np.int64(1), order=np.float64(-0.982793723247329)),\n",
              " Point(id=np.int64(4), level=np.int64(4), x=np.int64(0), y=np.int64(1), geotype=np.int64(1), order=np.float64(-2.896613990462929)),\n",
              " Point(id=np.int64(5), level=np.int64(5), x=np.int64(1), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n",
              " Point(id=np.int64(6), level=np.int64(6), x=np.int64(2), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n",
              " Point(id=np.int64(7), level=np.int64(7), x=np.int64(3), y=np.int64(1), geotype=np.int64(1), order=np.float64(-0.4636476090008061)),\n",
              " Point(id=np.int64(8), level=np.int64(8), x=np.int64(0), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.896613990462929)),\n",
              " Point(id=np.int64(9), level=np.int64(9), x=np.int64(1), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.677945044588987)),\n",
              " Point(id=np.int64(10), level=np.int64(10), x=np.int64(2), y=np.int64(2), geotype=np.int64(1), order=np.float64(1.5707963267948966)),\n",
              " Point(id=np.int64(11), level=np.int64(11), x=np.int64(3), y=np.int64(2), geotype=np.int64(1), order=np.float64(0.4636476090008061))]"
            ]
          }
        }
      ],
      "source": [
        "img.nodes"
      ],
      "id": "b6e53c9b"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "[<psiclone.data.graph.Edge at 0x7f17509d10d0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a600>,\n",
              " <psiclone.data.graph.Edge at 0x7f1766039820>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a5d0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a690>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a570>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a510>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a660>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a6f0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a240>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a720>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a6c0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a7e0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a7b0>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a750>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a810>,\n",
              " <psiclone.data.graph.Edge at 0x7f175056a840>]"
            ]
          }
        }
      ],
      "source": [
        "list(img.edges)"
      ],
      "id": "816477da"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "このままでは分かりづらいので,可視化用の関数を使ってグラフ構造を見てみます.入力データ構造の可視化には\n",
        "`psiclone.visualization.draw_geometry` を使います."
      ],
      "id": "4facf783-c5ad-48aa-bb39-bc5203c0c42e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wZe/OgBDwUqvQzs8Hu0+WOC1jz8kSpEWFAgAMOg0UkoQ7Ujsiq8vf3xAkBSStFoab/gmF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\nrkJggg==\n"
          }
        }
      ],
      "source": [
        "psiclone.visualization.draw_geometry(img)"
      ],
      "id": "136ebe2d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "このように,`(3, 4)`\n",
        "形を持つ数値配列データがグラフ構造になっています.`GrayscaleImage`\n",
        "は画像データのような $n \\times m$\n",
        "の数値データに特化した格子グラフをクラスになっています.\n",
        "\n",
        "実は,第二引数 `adjacency`\n",
        "を与えることで別の隣接関係を使うこともできます.次のコードは八点近傍隣接関係の例です."
      ],
      "id": "3c05436b-37d4-4287-b549-705c743df7de"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ioiASiZCVlYXVq1f370oXSqkRQrBnzx7cuHEDERERcHJyAgBw9AxhuDwC7f7L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\n1I4mHBRFURRFqR1NOCiKoiiKUrv/B5K3SMHwK8JUAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "img = psiclone.data.GrayscaleImage(data, adjacency=psiclone.data.eight_points_adjacency())\n",
        "psiclone.visualization.draw_geometry(img, edge_vmin=-2, edge_vmax=-1)"
      ],
      "id": "7e90cef2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "ノイズが極めて多いデータを扱う場合,前処理でノイズを除去しておくか,もしくはノイズのスケールに合わせて適切な隣接関係を用いることが有効です.多くの場合には上の例で用いたような八点近傍を用いるだけで十分な効果があります.次の例は,更に他の隣接関係を設定したものになります."
      ],
      "id": "632d9c8b-ef1b-414b-9d1f-fe65e02d4795"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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UVLBr1y5iYmLE+KA2TElJCTExMezevZuKigrGjh3LuHHj6ogNgHPnzrFo9RoS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2m6+cmPP/6IX3/9Fdu3b4e7u7uwzRmEtbU12tvbeX5ajluxyoIVH/TGG2/A0NCQHR9UXl7Ok8nJ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\nGelrAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "img = psiclone.data.GrayscaleImage(data, adjacency=psiclone.data.ball_adjacency(2, 2.5))\n",
        "psiclone.visualization.draw_geometry(img, edge_vmin=-3, edge_vmax=-1)"
      ],
      "id": "2ff7a9a6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 入力データ `Geometry`\n",
        "\n",
        "より一般に,座標と高さの値(と他にもいくつかのプロパティ)を持つグラフである\n",
        "`psiclone.data.Geometry`\n",
        "も入力データとして扱えます.実はこれは,`GrayscaleImage`\n",
        "から変換して得ることもできます."
      ],
      "id": "8a76a628-b584-490d-bd51-9be4a022d244"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "{Point(id=np.int64(0), level=np.int64(0), x=np.int64(0), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.498091544796509)): [<psiclone.data.graph.Edge at 0x7f17503ac860>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750625280>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750624470>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750626c90>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750626ba0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17506241d0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750626c30>],\n",
              " Point(id=np.int64(1), level=np.int64(1), x=np.int64(1), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.1587989303424644)): [<psiclone.data.graph.Edge at 0x7f17503ac860>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750626060>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039bce0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750399670>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039ac30>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17503987d0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039a960>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039bda0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039b290>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039a3c0>],\n",
              " Point(id=np.int64(2), level=np.int64(2), x=np.int64(2), y=np.int64(0), geotype=np.int64(1), order=np.float64(-1.5707963267948966)): [<psiclone.data.graph.Edge at 0x7f1750625280>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750626060>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750624800>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750398590>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039a300>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750399c10>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17509d1880>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17509d3470>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605d90>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605af0>],\n",
              " Point(id=np.int64(3), level=np.int64(3), x=np.int64(3), y=np.int64(0), geotype=np.int64(1), order=np.float64(-0.982793723247329)): [<psiclone.data.graph.Edge at 0x7f175039bce0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750624800>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039bcb0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605a60>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605c10>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750604a70>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750607860>],\n",
              " Point(id=np.int64(4), level=np.int64(4), x=np.int64(0), y=np.int64(1), geotype=np.int64(1), order=np.float64(-2.896613990462929)): [<psiclone.data.graph.Edge at 0x7f1750624470>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750399670>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750398590>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605be0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605400>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17506078c0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605790>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605fd0>],\n",
              " Point(id=np.int64(5), level=np.int64(5), x=np.int64(1), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)): [<psiclone.data.graph.Edge at 0x7f1750626c90>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039ac30>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039a300>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039bcb0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605be0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750607a40>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e09b0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0a40>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e02f0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0440>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e3380>],\n",
              " Point(id=np.int64(6), level=np.int64(6), x=np.int64(2), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)): [<psiclone.data.graph.Edge at 0x7f1750626ba0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17503987d0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750399c10>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605a60>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605400>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750607a40>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0920>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0a70>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0500>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0530>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e01d0>],\n",
              " Point(id=np.int64(7), level=np.int64(7), x=np.int64(3), y=np.int64(1), geotype=np.int64(1), order=np.float64(-0.4636476090008061)): [<psiclone.data.graph.Edge at 0x7f175039a960>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17509d1880>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605c10>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e09b0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0920>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0980>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0aa0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0b30>],\n",
              " Point(id=np.int64(8), level=np.int64(8), x=np.int64(0), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.896613990462929)): [<psiclone.data.graph.Edge at 0x7f17506241d0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039bda0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17506078c0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0a40>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0a70>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e07a0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e27e0>],\n",
              " Point(id=np.int64(9), level=np.int64(9), x=np.int64(1), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.677945044588987)): [<psiclone.data.graph.Edge at 0x7f1750626c30>,\n",
              "  <psiclone.data.graph.Edge at 0x7f175039b290>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17509d3470>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605790>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e02f0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0500>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0980>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e07a0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e3bf0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17503739e0>],\n",
              " Point(id=np.int64(10), level=np.int64(10), x=np.int64(2), y=np.int64(2), geotype=np.int64(1), order=np.float64(1.5707963267948966)): [<psiclone.data.graph.Edge at 0x7f175039a3c0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605d90>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750604a70>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750605fd0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0440>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0530>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0aa0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e27e0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e3bf0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750371d60>],\n",
              " Point(id=np.int64(11), level=np.int64(11), x=np.int64(3), y=np.int64(2), geotype=np.int64(1), order=np.float64(0.4636476090008061)): [<psiclone.data.graph.Edge at 0x7f1750605af0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750607860>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e3380>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e01d0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17505e0b30>,\n",
              "  <psiclone.data.graph.Edge at 0x7f17503739e0>,\n",
              "  <psiclone.data.graph.Edge at 0x7f1750371d60>]}"
            ]
          }
        }
      ],
      "source": [
        "geom = img.to_geometry()\n",
        "geom.link_table"
      ],
      "id": "8d43ac70"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Help on class Geometry in module psiclone.data.geometry:\n",
            "\n",
            "class Geometry(psiclone.data.graph.Graph)\n",
            " |  A `Geometry` object models geometry of a collection of pixels with\n",
            " |  topological structure. An edge of `Geometry` has no properties,\n",
            " |  whereas a node of `Geometry` has the following properties.\n",
            " |  Note that this has nothing to do with geometric graphs in graph theory.\n",
            " |  In general, the edges are crossing and even not line segments.\n",
            " |\n",
            " |  Properties of Point\n",
            " |  -------------------\n",
            " |  id : int >= 0\n",
            " |  level : int, float\n",
            " |  x, y : int, float\n",
            " |  geotype : int >= 0\n",
            " |  order : int, float, optional\n",
            " |\n",
            " |  Note on the geotype property\n",
            " |  ----------------------------\n",
            " |  The geotype property may have any non-negative integer values.\n",
            " |  Geotype 0 is reserved for interior points.\n",
            " |  Geotype 1 is reserved for exterior points.\n",
            " |  Geotypes 2, 3, and so forth will be used for any other kind of geometric boundary points.\n",
            " |\n",
            " |  Method resolution order:\n",
            " |      Geometry\n",
            " |      psiclone.data.graph.Graph\n",
            " |      psiclone.data.abstract_graph.AbstractGraph\n",
            " |      builtins.object\n",
            " |\n",
            " |  Methods defined here:\n",
            " |\n",
            " |  __init__(self)\n",
            " |      Initialize self.  See help(type(self)) for accurate signature.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Class methods defined here:\n",
            " |\n",
            " |  create_graph()\n",
            " |      Factory method of Graph.\n",
            " |\n",
            " |  create_node(*args, **kwgs)\n",
            " |      Factory method creating a Point instance.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      id : int >= 0\n",
            " |      level : int, float\n",
            " |      x, y : int, float\n",
            " |      geotype : int >= 0\n",
            " |      order : int, float, optional\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      point : Point\n",
            " |          The point with specified properties.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Static methods defined here:\n",
            " |\n",
            " |  modify_incompatible_id(geometry)\n",
            " |      Enforces node ids' uniqueness and sequential compatibility.\n",
            " |      The modification applies only to `Geometry` instance.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      geometry : `psiclone.data.Geometry`\n",
            " |          A `Geometry` object\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      is_modified : bool\n",
            " |          True when incompatible ids are modified\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Data and other attributes defined here:\n",
            " |\n",
            " |  __abstractmethods__ = frozenset()\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Methods inherited from psiclone.data.graph.Graph:\n",
            " |\n",
            " |  __iadd__(self, other)\n",
            " |      Add an other graph into self.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      other : `psiclone.graph.Graph`\n",
            " |\n",
            " |  add_edge(self, node1, node2, *args, **kwgs)\n",
            " |      Create and add an edge linking node1 and node2.\n",
            " |\n",
            " |  add_node(self, *args, **kwgs)\n",
            " |      Create and add a node.\n",
            " |\n",
            " |  connected_components(self)\n",
            " |      Compute connected components.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      components : list\n",
            " |          A list of connected sub-graphs.\n",
            " |\n",
            " |  detach__edges(self, node)\n",
            " |      Make a node isolated so that each adjacent node is connected to a clone of the node.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      node : `psiclone.graph.Node`\n",
            " |          A node to be detached.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      new__nodes : list\n",
            " |          A list of __nodes cloned from the original node.\n",
            " |\n",
            " |  find_walk(self, src, dest)\n",
            " |      Find a path from `src` to `dest`.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      src, dest : `psiclone.graph.Node`\n",
            " |          Source and destination nodes.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      walk : list, None\n",
            " |          A list of __edges that realizes the found path.\n",
            " |          None is returned if not found.\n",
            " |\n",
            " |  invert_branch(self, branch1, branch2, midnode)\n",
            " |      Try to invert branch operation. Note that `midnode` is not removed.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      branch1, branch2 : `psiclone.graph.Edge`\n",
            " |          Edges connecting a common `midnode`.\n",
            " |\n",
            " |      midnode : `psiclone.graph.Node`\n",
            " |          A common node connected with `branch1` and `branch2`.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      edge : `psiclone.graph.Edge`\n",
            " |          An edge recovered from `branch1` and `branch2`.\n",
            " |\n",
            " |  reconnect(self, edge, old_node, new_node)\n",
            " |      Replace a connected `old_node` by `new_node` in `edge`.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      edge : `psiclone.graph.Edge`\n",
            " |          An edge to be reconnected.\n",
            " |\n",
            " |      old_node, new_node : `psiclone.graph.Node`\n",
            " |          Nodes to be replaced.\n",
            " |\n",
            " |  reduce(self, edge, needless_node)\n",
            " |      Reduce a node in the direction of an edge.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      edge : `psiclone.graph.Edge`\n",
            " |          An edge to be reduced.\n",
            " |\n",
            " |      needless_node : `psiclone.graph.Node`\n",
            " |          A node to be removed.\n",
            " |\n",
            " |  register_edge(self, edge)\n",
            " |      Register the edge instance.\n",
            " |\n",
            " |  register_node(self, node)\n",
            " |      Register the node instance.\n",
            " |\n",
            " |  remove_edge(self, edge)\n",
            " |      Remove the edge.\n",
            " |\n",
            " |  remove_node(self, node)\n",
            " |      Remove the node.\n",
            " |\n",
            " |  subgraph(self, nodes, edges=None)\n",
            " |      Create a sub-graph made of given nodes.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      nodes : list\n",
            " |          A list of subgraph nodes. Not copied.\n",
            " |\n",
            " |      edges : list, optional\n",
            " |          A list of subgraph edges. Not copied.\n",
            " |          All the edges linking given nodes are used if omitted.\n",
            " |\n",
            " |      Returns\n",
            " |      -------\n",
            " |      other : `psiclone.graph.Graph`\n",
            " |          A graph made of given nodes.\n",
            " |\n",
            " |  walk_deeply(self, initial_node, fun)\n",
            " |      Walk from `initial_node` and apply `fun` to each node in a deep recursion.\n",
            " |\n",
            " |      Parameters\n",
            " |      ----------\n",
            " |      initial_node : `psiclone.graph.Node`\n",
            " |          A first node to visit.\n",
            " |\n",
            " |      fun : callable\n",
            " |          A function with the signature `fun(node, n)` applied to each node.\n",
            " |\n",
            " |          Parameters\n",
            " |          ----------\n",
            " |          node : `psiclone.graph.Node`\n",
            " |              Every node path-connected with `initial_node`.\n",
            " |\n",
            " |          n : int >= 0\n",
            " |              Recursion depth, or a path length, from `initial_node`.\n",
            " |              Note that this does not coincide with the shortest path length in general.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Class methods inherited from psiclone.data.graph.Graph:\n",
            " |\n",
            " |  create_edge(node1, node2, *args, **kwgs)\n",
            " |      Factory method creating an Edge instance.\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Readonly properties inherited from psiclone.data.graph.Graph:\n",
            " |\n",
            " |  edges\n",
            " |\n",
            " |  link_table\n",
            " |\n",
            " |  nodes\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Methods inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
            " |\n",
            " |  to_network(self)\n",
            " |\n",
            " |  ----------------------------------------------------------------------\n",
            " |  Data descriptors inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
            " |\n",
            " |  __dict__\n",
            " |      dictionary for instance variables\n",
            " |\n",
            " |  __weakref__\n",
            " |      list of weak references to the object\n"
          ]
        }
      ],
      "source": [
        "help(psiclone.data.geometry.Geometry)"
      ],
      "id": "f79cf428"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "やはり内部データを見ても分かりづらいので,`Geometry`\n",
        "オブジェクトを可視化してみましょう.前の例と同様に `draw_geometry`\n",
        "関数を使います."
      ],
      "id": "32eb99b9-b43b-4851-958f-6c4446e7f76f"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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QkBC0bfv2nTGOniEMR/ih4ssRKL58CmUPk1GW/hgoLalcl2NkBq0O7tDq2BU8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\n"
          }
        }
      ],
      "source": [
        "psiclone.visualization.draw_geometry(geom)"
      ],
      "id": "dfbda6c6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "最初と全く同じ格子グラフになっていることが分かります.\n",
        "\n",
        "### Geometryを直接作る\n",
        "\n",
        "簡単な `Geometry`\n",
        "オブジェクトをスクラッチで作ってみましょう.このチュートリアルでは,複雑な\n",
        "`Geometry`\n",
        "オブジェクトの作成方法等については詳しくは説明しません.基本的には,`add_node`\n",
        "で頂点を,`add_edge`\n",
        "で辺を追加していくことで任意の幾何形状の離散化を表現します."
      ],
      "id": "13b5b243-b9b8-42dd-8069-93c1aea17207"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "<psiclone.data.graph.Edge at 0x7f17503ae930>"
            ]
          }
        }
      ],
      "source": [
        "geom = psiclone.data.geometry.Geometry()\n",
        "n1 = geom.add_node(id=0, level=2, x=3, y=4, geotype=psiclone.data.Geotype.INTERIOR)  # , order)\n",
        "n2 = geom.add_node(id=1, level=6, x=7, y=8, geotype=psiclone.data.Geotype.EXTERIOR)  # , order)\n",
        "geom.add_edge(n1, n2)"
      ],
      "id": "b006c1ae"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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xxBNaunSpYqLkV79HAgIHACDqbdy4UeXl5UpOTtaOHTuUkZFh9khjDtEOABC1uru75XQ6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\nAICw+/+gl+qxpbMEGQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "psiclone.visualization.draw_geometry(geom)"
      ],
      "id": "a5743d21"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## レーブグラフ\n",
        "\n",
        "さて,いよいよ入力データを解析プログラムにかけていきます.流線トポロジー解析に入る前に,流線トポロジー解析において重要な役割を持つレーブグラフについてまずは見ておきましょう.\n",
        "\n",
        "レーブグラフは等高線のトポロジカルな構造をグラフを用いて要約したものです.`psiclone.reeb.get_reeb_graph`\n",
        "関数を用いて計算することができます.と言っても,ここまでで扱ってきた単純な入力データ例ではトポロジカルに自明な構造しかないため結果も自明なものになります."
      ],
      "id": "f4895eb0-6547-4926-b33e-e0b35dd87000"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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G5XPMAlA8cRiUyzMDAKoiDoOyWGYBqIo4DMpimQWgSuIwKINlFoAqicOgDI5ZAKomDoO8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\nwdwAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "reeb = psiclone.reeb.get_reeb_graph(img)\n",
        "networkx.draw(reeb.to_network())"
      ],
      "id": "bd2c9658"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "非自明な簡単な例を作ってみます."
      ],
      "id": "a5cd7b71-f9f2-4d3e-b474-86bca414bd52"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "array([[ 0, -3, -4, -3,  0],\n",
              "       [ 3,  0, -1,  0,  3],\n",
              "       [ 4,  1,  0,  1,  4],\n",
              "       [ 3,  0, -1,  0,  3],\n",
              "       [ 0, -3, -4, -3,  0]])"
            ]
          }
        }
      ],
      "source": [
        "y, x = numpy.mgrid[-2:3, -2:3]\n",
        "f = x * x - y * y\n",
        "f"
      ],
      "id": "c521c20a"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8vbmnUVfbyPlTuS1RqvSzBZhMrdee+AW6YzZbqCita/VzO3uNbWBl0/yl/kNC\ncHSS3k5LmRtHEAQKS2o4nZrPibN5bN93HotVoG8vX5YvTSA8WKL1qJcKWbbqcj3qs3MmM3/MYEka\nvVqDgb/s2cX3aTajFxvRm7emzcDTQZpGLykrhZm9h8oG6mo0G6g/H17Pn0fcjoMEjYlVEPj0xDHe\nO3wAk9VKX08vPoibxUAfqXZ+lLBs5Tayy6rQqFQsTZjAvROl2fnRqDfy/z7fw+adp1v93M/bheiB\nwQwZEMyQ/kGEB3tJUr/MjWM0mLh4tqBldMK5Uzno6m2Ld13cHC5Hl4aF0WdgABoJRlNlbhyLxUpW\nbjkpqfmcTi0gJTWfiisK/xUKWHjHSB5ZOB6tBP/tzRYr/9lxhP/u/MnWER3sy9uLZhLhJ81RLUcL\n83k6eRsFdbU4qNW8PGkK9wySqNEz6nktJZFNmSe4uPAN2UBdjWYD1W/1n+njFcA7I+cy0F2au4vO\nlpawNHkrWVVVaJUqnhk3gYeGDRe9U6EtdAYT727ey7eHbS2pY/uF8vqCOHzdpJnmuJBZzNGUHM5c\nKOD0hQLqf7bB3tXZnsH9g4geEMSQAcFERvjJgzl7GBaLlZzMUtRqJcHh3vLAyh6GwWgmNb2I0xds\nZulsWiENP5uI7+7q0PQ9D2bU0DAiQqUZPc8rr2bZym2czi1GoYAHbxvB7+PHSXImn8li4Z8/HeHf\nx2yjb6J8/fgwbhYRHtI0esfKc3ju2HcUNdZgZ4aUu/8iG6ir0Wyg4re8T7axFo1CydJB03igz1hJ\nGpNGk4k3Duxl1Rnb9NvxIaG8ExuPv7M0l7P+cDaTv6zdQVVDI+6O9vzl7limDe4jtqx2sVoFLuXZ\nnkxTzhdwOjWfssrWk7K1WjUD+/oTPSCY6AHBDOoXgJOjnNKRkZEKtfV62wNRqu07fCGzBJO5dco2\nwNeN6IFBDOlvS92HBkm78F8QBDYePc9b3+9GZzDh17QVYqREt0JkV1fxVHIiKSXFKIDHR4ziT6PH\noVVJ0OhZLXx0YS+fpB3AikCUeyB/HTSTgX4hsoG6Gs0GqqK2ho+yDrAq6ygAY3x68dbw3+DvIM1a\nmF1ZmTy/M5lKfSPu9va8OXUG8X2kuX+prLael9ds52BaDgDzRkfx3JzJONp1jxk4giBQXFbbEuY/\nnVpAdn7rSdlKpYI+4b4M6R/UckH28pBmp46MTE+kpLyWlCazdDq1gKzc8lZ/r1BA7zAfogcEM2RA\nEEP6B+HjJc0Hz7ao0en567qdbE9JB2BGdF9euUu6e0nXpZ7j1b0/oDOZCHB24f0ZMxkdLFGjV1/B\nc8c2cKaqEAXwWOREnuw/GbPBKBeRt8fPi8h3F13kpRMbqTTqcNPY8+qw24kLGii2zDYpa2jg2R1J\n7MvNBuDugVG8PGkKTlrpGROrVWD1wVO8v2U/RrOFMG933l48k6hQf7Gl3RDVtTrOXCjkdGo+KakF\npGWVYLG0bmsP9ne3XaibolTBAe6SfrqVkekuWK0C2fkVnL5w2TAVl9W2OkarUTGgT0DTdzCIqMhA\nXJykZzauhZ8y8nhhVRKlNfU42ml48c4p3DFioCSvJ9X6Rl7ctYOkTJvRm903ktemTMfNXnrnXhAE\n1uec5K3TSegsJgIc3PjbiDsZ6W1bpyZ34XVAWyeoXF/Pn09sYl+J7QMwN3QoLw6Jx0kjvRSNVRD4\nKuUkbx/ch9FiIczNnQ/jE4j2k6YxuVhUzvNfJ5JRXIFaqeTJ+LE8OGUEqm5eb6I3mDh/sXV9RePP\nJmV7ujsypL/NUA0ZEESfcF/UN2lStoxMd8ZkspB2qYTT520PLGcuFFBbr291jLOjHYP7B9oeWAba\n6hS7+3w3k9nCP7cd5Iu9xxEEGBIWwNuL4gnxdhdbWpscysvlme3bKG6ox1mj5dXbpvGb/gMkafSq\nDDpeObmZnUUXAEgIjuKV6ARctZeNnmygOuBqJ0gQBFZdOso7Z3ZgsJoJdfLg7yPmEu0ZLKLaq5NW\nUc7SpK2kVZSjVir50+ixPD58lCSNicFk5sOtB/h6/0kAhkcE8ebCeAI9pZkuvRHMFisZ2aUt9Rcp\nqQVU1ehaHeNgryEqMtCWUugfxMB+AdhLcC2EjMzNRtdo5GxaYUvK/Hx6EQajudUxPp7OTWbJljKP\nCPXuUZ2yWSWVLFu5jdSCUpQKBb+NHc1j00dL8qHLYDbzwZGDfHLiGAIwPCCQ92fMIsTNTWxpbXKo\nNIsXjn9Pqb4OZ7Udrwydxe0hQ35xnGygOqCjE5RRW8azx9ZzoaYElULBE/0n81i/iailaEzMZt45\ndIDPTh0HYGRgEO/PmEWQqzSNycEL2by0JpnyOh0u9na8NG8qs2L6iy2rSxAEgfyiatsN4UIBp8/n\nk19c3eoYlUpJZIRfS6ffkAFBuLlIbzaZjExnU1HVwOkLTU0bFwrIyC79xfLo8GAvhgwIaqlh8vdx\nlWRk49ciCALfHj7NO5v2oTeZCfJ05e1FMxnaK1BsaW2SUVnB0qStnC8vQ6VQ8IdRY3li5GhJ3iON\nFjMfnv+BzzMOAxDjGcLfRtxJsJNHm8fLBqoDruUEXe9JF5v9Odk8syOJMl0Dzlotr0+Zzh2RA8SW\n1SaV9TqWr93BnnNZAMwe3p8X75yKi4P00qWdzbXdNDxbZlFFDwzusTcNmVuHG3mYGNw/EHdXaQ5b\n7Ewq6nT8Ze0O9py3XQ/vGDGAF+6cgrO99K6HgiDw9ZkU3ty/F4PFTKirGx/EzWJYgDSNXnptKc8d\n23BdwRDZQHXA9ZygK8N+Tmotr0QncEfoL8N+UqCyUccLu7azIysTgDmRA3j1tmm42knzi/jtkTO8\ns3FvyxPXW4viGdYrSGxpN5UGnYFzF4ta0hbn0osw/ixt4evlYptT00PTFjI9j5+ns09fKKCyWk5n\n/5z9qZd4+ZvtVDRF5F+5axrxwyLFltUm5Todz+9MZne2zejNGzCI5ZOn4izBBqZfU44jG6gOuN4T\ndC2FZ1JBEAS+OXeG1/btptFsJsjFlffjZjIyUJp1XFkllSxbtY3UfFvO/9Hpo/ht7Gg0EpwZcjMw\nmSykZZW01FCdvlBA3c8LZ53sGBx5uXC2f28/SU5Nlrl1uJaGCg83x1ap6lu5oUJvMvPBlv2sOnAK\ngBG9g3lzYRwBHtIsvdiTfYlndyRR0ajD1c6ON6fGMquvRI3ezxvCwoby4uBrbwiTDVQH3MgJam59\nfPN0Eo1ttD5KjayqSpYmJ3K2tASlQsETI0bzh1FjJGlMTGYLHyUf5rPdR21dJ6H+vLV4JqES7Tq5\nmfy8dTvlfD4l5a13tv28dXtwZBDO8s42mS6kpq6xVbOEPNLj2kkrLGPZym3doitZbzbx9oF9fHX6\nFABjgkJ4d0Y8gS4SNXrFF/nz8V83kqhbGag1a9bw0UcfkZKSQl1dHSaTCbX66k/Tt912G4cOHUJ7\nRdjw73//O0888cQ1v+evOUG/GL7VbwJPDrgNjVJ6xsRosfCPHw/x8bGfEIBoP38+iJtFuLs067iO\nNs09Kampx0Gr4YU7p/CbkdKceyImxWW1rWbhXG14YHMNVXcbHigjLW5kqOzg/kF4e0hzhZNYWK0C\nX+8/yYdbD2CyWAj38eDtxTMZFOIntrQ2SS0rZWlyIumVFWiUSp4eO55HhknT6DWaTbxzdjurLx0D\nft1Q7G5loJKTk6msrKSxsZGHH374mgzUhAkTeP3112/4PX/tCWpr/Ps7I+cS7izNzd0/5ufx9PZt\nFNXX4ajR8MqkKcwfGCVJY1Kj0/Paul0kp1wEIHZIX5bPl+bkXalQW9fImbTClohAamYxZnPraEB3\nW18hIx5Wq0BWbnlLs8OZCwWUVvws6qlVM6hvQEuHnLzWqH1Ka+p5aU0yhy/mAnDXmME8e8dkHCVY\n82UVBD47eZx3Dx3AaLUQ4eHBh3EJRPlK1OhVF/PssfVk1pV3ylq2bmWgmtmzZw9TpkzpFgaqmSsX\nEDqoNLwwJJ67woZJ8sZUo9fz8u6dbElPAyC+d1/emBqLRyd9QDoTQRDYfDyVNzb8gM5gwtfNmTcX\nxjG6b6jY0roFBoOJ1Iziphqq9heoNt8A+/XyRS3BpaQyXY/RZOZCZgkp5/OvuljbxdneFl2SF2tf\nN7vOZPCXtTuo1ulxd7Tn1XtmMDWqt9iy2qSkvp5ndmzjYJ7N6C0aHM2fJ0zGQSNNo/dFxmE+PLcL\nk2Alwtmbd0bOZaB7wK963R5voM6cOYPVasXPz4/f/OY3vPTSSzg7Xz1cbDKZMJsvdzY1Njbi5eXV\nKSeo1qjntZREtuSfAWB6QH/+Oux2POyk134rCALfX0hl+Z5d1JuM+Dk58+6MeMaHSLOOK6+imhdW\nJpGSU4RCAQ9MHs7vZ45D287nQ+aXWCxWsnLLW9IvKan5VFQ1tDrG3k7NoH6BTfvCbBEFRwfpddfI\n/HrqGwycSWteuFtAakYRRlPrhbt+3i629G9Th1x4sJfc+Xmd6Awm/r5pD+uPnAVgXL8wXl84Ax9X\naaY2kzPTeWHXdqr1ejztHfjb9DimRUjU6DXWsuz49xwpuwTAwl4jeDZqBg7qX2/0erSBOnToEP37\n98fd3Z0zZ87wwAMP0K9fP7755pur/s5f/vIXXn311V/8vDNP0Oa80/z1VCL1ZgM+9s68Nfw3jPeV\n5ocvr6aGp7cncryoEIBHY0bw9Jjx2EnQmJgtVj7Z+SMf7/gRqyAwIMiXtxfHE+EnzXRpd0AQBApL\nai53+qUWkFtY2eoYlVJB316+thbzgcEM6R+Ih5u8KLk7Ul5Z38o8Z+aU8fOreUSod0vB95D+toGV\nMjfOubxilq1MIrusCo1KxVOzJ7B4wjBJmtAGo5HX9+/hm3O2IMCk0HDeiY3Hx0ma3/ftBed55eRm\nakx6PLWOvB4zhykB/Trt9Xu0gWrr96ZPn05dXd1V/2e7MgJ1JQUN1Tx3bAMnKvMAeKDPGJ4aOA2t\nSoLGxGrl30d/5J8/HcYiCAz09uHD+AT6eErTmJzKLmTZym0UVNZir1HzzB2TuHvsEEmmS7sjVTUN\nnL5Q2LR3LJ/0S6VYfjbgMzTQsynlZ7vRBvq5yedfYgiCQG5BZUv6NuV8AUWlNa2OUauVDOjtz+Cm\n9O3gyEBc5en3nYLFauXz3cf4KOkwZquVPv5evL14JpGBPmJLa5OUkmKWJm0lp6YarUrFsvGTWBI9\n7Ibrh7qSBrORN09vY0POKQAm+vXhzZg5eNt3bkTvljJQ+/btY+rUqdTW1uLoeG1ps644Qc2YrVY+\nuXiAjy7swSIIRLr68c7IufR19e3U9+ksThYV8lRyIrm1Ndip1Lw4cTL3Do6W5I2xXm/gre/2sOnY\neQAmD+zFq3fPwMtFeunS7o6u0ci5i0WcvtA04PNiIXpD6wGfXh5OrTr9eof5oLpF5/qIhdls4eKl\n0pbo0pkLBVTXNrY6xtFBa1u429RAMKCPP3YSLF7u7hRV1fLCqiSOZxUAcO/EYSxNmICdBGe0WaxW\nPj5+lH/8eAiz1UqklzcfxicQ6eUttrQ2OV1ZwLPHNpDbUIlWqeK5qBksihjZJfepbmWgLBYLJpOJ\nffv2ERcXR319PSqVCq1Wi/Jn7ZIlJSWcPHmSiRMn4ujoyPnz57n//vsJDQ1lw4YN1/yeXWmgmkmp\nzOe5YxvIbajCTqnmmajpLI4YJU1jYjTy6t4fWJ96DoAp4RH8bXoc3tdoSG82SSfT+Ov6XdQ1GvB0\nduT1BTOYOKCX2LJ6NM036uZUUFs3aidHLVGR8o26K7kmY+vuZIsUysb2prHtZBqvrdtFnd6Al4sj\nry+IY0L/cLFltUlBbS1Pb0/kaKHN6D04NIbnxk2UZAmHRbDy37SbG5DoVgbqiy++4MEHH/zFz3fv\n3k1ERAQDBw5k27ZtTJw4kZycHObPn09aWhoWiwV/f3/mzp3Lyy+/jIvLtc+5uRkGCmwhx7dOJ7E+\n5yTQdSHHziIxPY0Xf9hBrcGAl4Mjf4+NY0p4hNiy2qS4qo4XVidxLDMfgEUThvLU7InYS/Bprydy\nLakijVpF/95+l1NF/YNwdZbHUVwPcmpV2tTrDby5YTebj6cCcNvACF69JxZPZ2k+fG5KS+Xl3buo\nMxrwcXTi3dh4JoaFiy2rTQoaqnn++Hccr7B1BN6skphuZaDE4GYZqGa6uuitMymsq+WZ7UkcKbDV\ncd03ZCgvTJiEfSd0N3Q2FquVL/Yc51/bDnWLeoOeTllFXdOAz2srVo4eEISft1ys3Ixc3N+9OHmp\ngBdWJbXUZT47ZzLzxwyWpHmtNRj4y55dfJ9mM3qxEb15a9oMPB2kafTEbMqSDVQH3GwDBVDcWMsL\nV7RdLug1guc6qe2ys7EKAp+eOMZ7hw9gslrp6+nFB3GzGOgjzTquc3klLFu5raXjZWnCBO6dKM2O\nl1uJugY9Z1sGfHbQLt/fZqpupXZ5i8VKZk6ZbX/cedvCXXm8hPQxW6z8Z8cR/rvzpys6g2cS4ecp\ntrQ2OVqYz9PJ2yioq8VBrealSVNYMEiiRk8CY4FkA9UBYhgosBmTLzMO80EnD/7qKs6WlrA0eStZ\nVVVolSqeGTeBh4YNl2SHhs5g4t3Ne/n2sO2LN6ZvKG8sjMPXTZrp0lsRg9FMWpZtYOPp1HzOXCik\nXtd6YKOrsz2De+jARnnAafcnr7yaZSu3cTq32Dab7rYR/CF+HBoJ/huZLBb++dMR/n3MNgImyteP\nD+NmEeEhTaN3rDyH549/R6FO3MHUsoHqALEMVDOdPXq+K2k0mXjjwF5WnUkBYHxIKO/ExuPvLM3d\naj+czeQva3dQ1dCIm6M9r94dy7TBfcSWJdMGP18Zcjo1n7LK+lbHaLVqBvb1t6Ws+gcRFRnYbVaG\n1NbrOXOhqTsutYALmSWYzK0jcPKKne6BIAhsPHqet77fjc5gws/NmTcXxTOqT4jY0toku7qKp5IT\nSSkpRgE8PmIUfxo9Dq0Ul8m3sRrt7yPm0stFnJE6soHqALENFHTu8sObwa6sTJ7fmUylvhF3e3ve\nnDqD+D59xZbVJmW19by0ejuHLuYAMG90FM/NmYyjnZz6kDLNS2ub01mnU/PJzm9dA/TzpbVD+gfj\n5SGNGqCS8tqm2iV5yXNPokan56/rdrI9JR2AGdF9eeUuae7nFASBdanneHXvD+hMJgKcXXh/xkxG\nB0vU6NVX8NyxDZypKkQBPNZvAk8OuA2NUjyjJxuoDpCCgWpmd9FFXjqxkUqjDjeNPa8Ou524oIGi\naroaZQ0NPLsjiX252QDcPTCKlydNwUkrPWNitQqsOnCSD7YewGi2EObtztuLZxIV6i+2NJnroLpW\nx5kLhS2F1WlZJVgsrRclB/u7X56iPSCIkACPLo/iWK0C2fkVLUYv5Xw+JeWtF+5q1CoGNEfPBtii\nZy5O0rvpylydnzLyeGFVEqU19TjaaXjxzincMWKgJKOE1fpGXty1g6RMm9Gb3TeS16ZMx81eep85\nQRBYn3OSt04nobOYCHBw428j7mSkt/hrxWQD1QFSMlAA5fp6/nxiE/tKbB/8uaFDeXFIPE4a6aUq\nrILAVyknefvgPowWC2Fu7nwYn0C0nzSNycWicp7/OpGM4grUSiVPxI3loakjUCnluTjdEb3BxPmL\nRbZ5VBcKOJtWSKPe1OoYDzfHy1GeAUH0CfdF/SvnIJlMFtKySlqM3JkLBdTW61sd4+xoZxtY2WSY\n+vf2x04rj9XojpjMFv657SBf7D2OIMCQsADeXhRPiLe72NLa5FBeLs9s30ZxQz3OGi2v3jaN3/Qf\nIEmjV2XQsfzUFnYU2joCE4KjeCU6AVetNIyebKA6QGoGCmyOfNWlo7xzZgcGq5lQJw/+PmIu0Z7B\nYktrk7SKcpYmbSWtohy1UsmfRo/l8eGjJGlMDCYzH249wNf7bfO4YiKCeGthPIGe0kyXylw7ZouV\njOzSpk4/m7mpqtG1OsbBXtM04NNWmD2wXwD2HQz4bNAZbB2ETTVM59OLMRpbD6z08XS2jWNoSiVG\nhHrfMh2EPZmskkqWrdxGakEpSoWC38aO5rHpo3+1Ce8KDGYz7x85yCcnbKUgMf4BvB83i1A3d3GF\nXYVDpVm8cPx7SvV1OKm1LB+awO0hQ8SW1QrZQHWAFA1UM+m1pTx7dANptSWoFAqe6D+Zx/pNRC1F\nY2I2886hA3x26jgAIwODeH/GLIJcpWlMDl7I5qU1yZTX6XCxt+OleVOZFdNfbFkynYggCOQXVTdN\nTLfVIuUXV7c6RqVSEhnh19LpN2RAEGaz9XIx+4UCMrJLsf5sYGV4sGfLst3ogcH4+7hK8glf5sYQ\nBIFvD5/mnU370JvMBHm68vaimQztFSi2tDbJqKxgadJWzpeXoVIo+P2oMTw5cowk7xVGi5kPz//A\n5xmHAYjxDOFvI+4k2MlDZGW/RDZQHdB8guoa6nB2lF6be3f6sAHsz8nmmR1JlOkacNZqeX3KdO6I\nHCC2rDaprNexfO0O9pzLAmBgsC/DI4IZHhHE0PBAea9eD6S8qt7WDdeOOfo5PzdZg/sH4u4qfzZ6\nGqU19Zy4VMCJrEKOZuaRUVwBwB0jBvDCnVNwtpdeGYUgCHx9JoU39+/FYDET6urG+3GziAmQptFL\nry3luWMbuFAj/aCA0WpifeYGFvVbIBuoq9FsoF4+/iq/H/g7fO2lObn6UGkWy45/R5m+Hie1llei\nE7gjVFrhzmYqG3W8sGs7O7IyAZgTOYBXb5uGq500L0DfHjnDu5v20WhsXT8T7uNBTK8gYiICiYkI\nIthTXovR02grPadSKlql+Qb09cfBXnrNETI3jiAIXCqt4uSlAptpulRIfkXr9UOuDna8NG8aM4dF\niqSyfcp1Op7fmczubNsD4LwBg1g+eSrOEmzk6W5lKfm6Aj7O/C+XqrJZNfkr2UBdjWYDtWjvEpwd\nnVkSvphxXmMleaOsMuh45eRmdhZdAKRXcHclgiDwzbkzvLZvN41mM0EurrwfN5ORgdL8wugMRk5l\nFzVdUAs5nVOE3vSzOhdXJ2J6BTGsVyDDI4LoG+AtyTovmRvHbLGiAHnhbg/DZLGQVlDG8UsFnLxU\nyMlLBVTWt16A7WinYWiY7WEpJiKIwaH+kt2nuTs7i+d2JFPRqMPVzo43psSS0E+iRq8bNUYJgsDO\nkh/4Jm8tJsGMp+DBh2Pekw3U1Wg2UO+e/oDTjbbJ1aM9R3F/+H04qaUXpm9u+XzzdBKNEmv5bIus\nqkqWJidytrQEpULBEyNG84dRY9BIcIjblZjMFlILSjmRZTNUJy8VUK37WaeVvZbo8ECGN5mqwaH+\n2En0gisjcyuhM5g4nVPUFF0q4HRO8S8izF4ujsT0CmJ4hO372y/AR5LF4VeiN5t4+8A+vjp9CoAx\nQSG8OyOeQBdp1pruKb7In493j9E81cYaPr30GWdqzgIwyWcic33m4OniKRuoq9FsoBoaGjjWcJyv\nc1ZjsBrw1Hry24hH6O8qTVcvxaFjV8NosfCPHw/x8bGfEIBoP38+iJtFuLs067jawmoVyC6r5HiW\n7Qn2xKUCCiprWx2jUakYFOLblPaz1VFJccCejExPo7Je1/K9PJFVQGpBKZafF/77eDCsV2DL9zPE\nq3ul5FPLSlmanEh6ZQUapZKnx47nkWHSHMOit5h45+wOVmUdBaQ/HPpUVQqfXvqcOnMdTionHup1\nPyM8h8tF5B3x8xNUoi/h48xPyGq4hAIFswJmMjdoDmql9CILzWPv/5u2HwEY7GEbex/uLM7Y+474\nMT+Pp7dvo6i+DkeNhlcmTWH+wKhudRG7kuLqOk5eKmwyVQWkF5dz5TdDoYA+/t7ENF+0ewXh7yFP\nm5aR+TUIgkB+ZY3NMGUVcDyrgOyyqlbHKBUK+gf52NJxTRFibxdpTKm/XqyCwGcnj/PuoQMYrRYi\nPDz4IC6Bwb5+Yktrk+60nsxgMbAmby0/lO4BYKDrAB6NeBhPre3hXjZQHdDWCTJbzWwq3MKmwi0I\nCIQ7hvF478cIcJDmgMhj5Tk8d+w7ihrFXbx4LdTo9by8eydb0tMAiO/dlzemxuIhsRESN0KNTk9K\nThEnmgzVmdwSTJbW+84CPVxtT8ERQQzvFUQvX095XpCMTDtYrFbSi8o50WSYTl4qoLS2odUx9ho1\nQ8ICiOkVyLBeQUSHBeDUAwr/i+vreHZHEgfzcgFYNDiaFydMxlHT/uwyMbAKAl9kHObDc7swCVYi\nnL15Z+RcBroHiC2tTXIacvi/zE8o0hehVqi5K3gucf6xKBWXI3qygeqA9k7Qxbp0/pP5CeXGCrRK\nLYtDFzDZZ5IkjUmtUc9rKYlsybfVcU0P6M9fh92Oh50067i+v5DK8j27qDcZ8XNy5t0Z8YwPkWYd\n141iMJk5m1fcEqU6lV1Ivd7Y6hg3R/tWaYWBQb6S3OYuI3OzaP7enMiypeTa+t64O9ozrFeQLbob\nEcSAHvi9Sc5M54Vd26nW6/G0d+Dt6TOYHiHNZegljbUsO/49R8ouAbCw1wiejZqBg1qKRs9KUvF2\n1uVvwCJYCLQP4PHejxHmFPqLY2UD1QEdnSCdWcdXOSs5XHEEgBj3oTzU6wFcNNJMxWzOO81fTyVS\nbzbgY+/MW8N/w3jf3mLLapO8mhqe3p7I8aJCAB6NGcHTY8Zjp5ZeurQzsFitZBRXNBWm22o12nqS\nHhzq35J66ClP0jIyV6NGpyclu7ClvvBs3i8jt0Geri0PGsMjggj36bmR2wajkdf37+Gbc7aH4Umh\n4bwTG4+PkzRTkNsLzvPKyc3UmPR4ah15PWYOUwL6iS2rTSqNlXyS9T/O19o62af7TuWe0PlolW1f\nY2UD1QHXeoIOlx/hy5yvabQ04qZx49GIhxjsFnUTlV47BQ3VPHdsAycq8wB4oM8Ynho4Da1KesbE\nbLXy76M/8s+fDmMRBAZ6+/BhfAJ9PKVZx9WZCIJAQWVtS6fQiaxCLpVWtjpGqVAQGeTT0ukXExHU\nbWs5ZGTAVjvY3N164lIBGW3UDvb192bYFR1y/u7SfGDtbFJKilmatJWcmmq0KhXLxk9iSfQwSdYP\nNZiNvHl6GxtyTgEw0a8Pb8TMwcdeegOpAX6qPMoXl76iwaLDVe3KwxEPMNQ9ut3fkQ1UB1zPCSo3\nlPOfrE+5WGebZzHDL5b5IfPQKqUXpjRbrXxy8QAfXdiDRRCIdPXjnZFz6evqK7a0NjlZVMhTyYnk\n1tZgp1Lz4sTJ3Ds4WpLp0q6kuZuouaMoNb8Us9Xa6pgwb3db+iLClsII9Xa/5c6TTPfAahW4VFrZ\nNH/J9pBQWPXL7tXBoX4tn+nosIBbrnvVYrXy8fGj/OPHQ5itViK9vPkgbhb9vaU52Pl0ZQHPHttA\nbkMlWqWK56JmsChipCSvQ42WRlbmrGZ/+UEAot0G83DEg7hp3Dr+XdlAtc/1niCrYGVr0Ta+K9iI\nRbAQ7BDM73o/SrCjNAdEplTm89yxDeQ2VGGnVPNsVKxkP+j1RiOv7v2B9annAJgSHsHfpsfh7Si9\nOq6bhc5g4kxuUcsTe0pO0VXm2Vyuo+oO82xkeiYms4XzBaWczCrg+KUCTl0qbHN+2tDwwJboUlTI\nrT0/raC2lqe3J3K0sACAB4fG8Ny4iZIsZbAIVv6b1n0ezDPqM/lP5qeUGkrRKDQsDL2bqb5Trvn+\nJxuoDrjRE5RVf4mPMz+hxFCCRqHmnpC7me43VZLG5Oeh1kl+fXkj5g68JRpqTUxP48UfdlBrMODl\n4MjfY+OYEh4htixJYLJYuFhYxvGswpY1FFebqDwswjbkMyrUHwet9KKkMt2fBr3R1nnaVNN3Jrf4\nFxP8fV2dWmr6YiKC6OPvJcnZRWKwKS2Vl3fvos5owMfRiXdi45kUFi62rDYpaKjm+ePfcbzC1hEo\n5dIQi2Bhc+FWNhZsxoqVUMcQHu/9GEEO17cjUDZQHfBrTpDeomdV7hr2lu0HYLBbFI/0egh3bceh\nQTHoTsV+hXW1PLM9iSMFtjqu+4YM5YUJk7CXYFeHmAiCQHZZVat5VHk/2+mlVikZGOzXEqUa1isQ\nd6fuPzZC5uZTXtfQMn/pxKUCLhSUYf3Z7aCXr6dtf2TT7LMgT1dJPliKSa3BwPI9u9iYlgpAbERv\n3pw6Ay+JRtu7U3NSmaGMjzM/JaM+A4CZ/nHMC74TzQ2U2sgGqgM64wQdqzzOZ5e+pMHSgIvamYd7\nPcgwj6GdK7STKG6s5YUr2k0X9BrBc5JtNxX49MQx3jt8AJPVSl9PLz6Im8VAH2mGi6VCaU09J7Ob\nbnJZBaQVlfHzb2xvP09iIoJshbq9ggjwcJFvcjKtEASB3PLqVvOXcsqrWx2jVioZEOzb0iE3rFcg\nns7SNAFS4WhhPk8nb6OgrhYHtZqXJk1hwaDBkvz+dbfxOIcqjvBV9tforXrcNe48FvEwg9xufHWM\nbKA6oLNOUKWxik+zPuNc7XkApvjexsKQu7FTSW9holUQ+DLjMB90k4FnZ0tLWJq8layqKrRKFc+M\nm8BDw4ZLsjNFitQ1Gn6RZjGaW7eJ+7k5t06z+Hn12DZxmbYxW6xcLCprtf+xvE7X6hgHrYbopoGV\ntoW7ATjaSe/hS4qYLBb++dMR/n3sR6yCQJSvHx/GzSLCw1NsaW1yrDyH549/R6FO+gOaG8w6vsxe\nwY+VPwEwwiOGB8Pvx1nz68pUZAPVAZ15gqyCle3FO/g2fwNmwUyAvT+P936McCdpDog8X13Ec8c2\ndIuR+40mE28c2MuqMykAjA8J5Z3YePydb4325s7EaDZzPq/0cmfUpULqGg2tjnFxsGNYeGBLp9+g\nED+0Eixqlblx9CYzZ3KKbJ+DLFuDQoOh9cBKT2eHpoGVts9BZJCP5BeBS5Hs6iqeSk4kpaQYBfDb\n4aNYOmYcWgmey+YVYZ+kHcCKQJS7bUVYLxdpjpa5UJvGf7M+pcJYiZ3SjnvDFjLRe0KnGD3ZQHVA\nV5ygnIZcPs78L4X6IlQKFfOC72Smf1yrEfFSodFs4p2z21l96Rgg/aWPu7IyeX5nMpX6Rtzt7Xlz\n6gzi+/QVW1a3xmoVyCypaJlFdeJSAcXVda2O0apVRIX6M/yKVnMXB+lFV2WuTnVDY9OIjAKOXyrk\nfH4JZkvrERkhXm6t5i+F+3hIMuLQXRAEgW/Pn+Wv+3ajM5kIcHbhvRkzGRMcIra0NulOS+rNVjPf\nFWxka9E2BAQinHrx296P4m/feTsCZQPVAV1xggCMViPf5H7LztIfABjg0p9HIx7Gy06a4drdRRd5\n6cRGKo063DT2vDrsduKCbjx33JWUNTTw7I4k9uVmA3D3wChenjQFJ608sbuzKKqqbZkMbRt2WNHq\n75UKBf0CvJtm99jqX3zdpNnVeatSWFl7xfylAjJLWg9pVSggMqBp4W5EEMPCA+V/w06kWt/Ii7t2\nkJRpmxs4u28kr02Zjpu99GZcCYLA+pyTvHU6CZ3FRICDG38bcScjvaWZPSluLObjrE+41JCNAgW3\nByYwJ/B21MrOjZLLBqoDuspANZNSfZpPsz6n1lyLk8qRB3otYZTnyE5/n86gXF/Piyc2sr/E1r0w\nN3QoLw6Jx0kjvUiDVRD4KuUkbx/ch9FiIczNnQ/jE4j2k+bC5+5OdUMjp5oL0y8Vcq6N6EWwl1tL\nqicmIkiOXtxErFaBjJIKW3Spyfi2FUX8+ZogOYrYNRzKy+WZ7dsobqjHWaPl1dum8Zv+AyT5fagy\n6Fh+ags7Cm0dgbOCo1genYCrVppGb2/ZPlbmrsFoNeKt9eKx3o8Q6dI13eSygeqArjZQALWmWj7N\n+pyUmtMATPAez71hC3FQSa+VXBAEVmUd5Z2zOzBYzYQ6efD3EXOJ9pTmoNC0inKWJm0lraIctVLJ\nn0aP5fHho+Q5M11Mo9HE2bySlk6/UzmF6AytB3w2188M62WbRyXXz3QeRrOZc3kllzvkstuuY4vp\nFdjSaTkwxFeuY+tiDGYz7x85yCcnbCURMf4BvB83i1A3d3GFXYVDpVm8cPx7SvV1OKm1vBKdwO0h\n0uwIrDPV8Vn2l5yoOgnAWK8xLAlbjKO66zoCZQPVATfDQIHNmPxQupvVuWsxCSZ87Hx4vPej9HGW\n5iyN9NpSnj26gbTaElQKBU/0n8xj/SailqAxMZjNvHPoAJ+dOg7AyMAg3p8xiyBXadZx9USaO7ia\n51GduFRARRsdXEPC/Jv2+gUxJEzu4LpWWjopm87t2dxiDD/rpPR3d2nqorSlVHvLnZQ3lYzKCpYm\nbeV8eRkqhYLfjxrDkyPHSPKaabSY+fD8D3yecRiAGM8Q/jbiToKdPERW1jZnas7yadZnVJtqcFA5\ncH/YvYz1HtPl7ysbqA64WQaqmYLGQj7O/C+5ujyUKJkTdDu3ByagUkjvybytL9nfR8wlyMldXGFX\nYX9ONs/sSKJM14CzVsvrU6ZzR+QAsWXdkgiCQF5FTctwzxNZv5whpFIqGBDk25JSkmcIXaastt5m\nRJsmzl8sKv/FwMo+/l4t85diegUR6Ck/MIiBIAh8fSaFN/fvxWAxE+rqxvtxs4gJuL6p1zeLjNoy\nnj22ngs10n84NlpNrMtbT3LJDgD6Offlsd6P4GPnfVPeXzZQHXCzDRSAyWpiff53bCtOBqCPcx8e\n7/0IPnbSXBx5sDSTF45/T5m+Hme1Ha8MncXtIUPEltUmlY06Xti1nR1ZmQDMiRzAq7dNw9VOrvUQ\nm5Yp1k2G6qpTrJtqqIb1CiTY002S6YTOpHmafHN92YlLBeRfZZr88KZzMzRcniYvBcp1Op7fmczu\n7CwA5g0YxPLJU3GWYEOLIAisunSUd85cLs/424i5DJVoeUa+roCPM/9LXmM+SpTcGTyH2QGzbmo3\nu2ygOkAMA9XMuZrz/Dfrf1SbqrFX2rMkfDHjvMZK8oZRZdDxysnN7Cy6AEBCcBSvSLjQ8JtzZ3ht\n324azWaCXFx5P24mIwOleaG4Vblyj9rJS4Wczilqc4/asKbRCcN7yB41s8XKhYLSFrN0sp19hs1z\nuOR9htJjd3YWz+1IpqJRh6udHW9MiSWhX6TYstqkXF/Pn09sYl+JrSNQyg1CgiCws+QHvslbi0kw\n42fny297P0pv55u/D1U2UB0gpoECqDfV83n2VxyrstXvjPYcxf3h9+HUhYVxN0pzq+ubp5No7Aat\nrllVlSxNTuRsaQlKhYInRozmD6PGyIXMEsVktpBaUNpqEna1Tt/qGBd7O6LDA1pqfaJC/LHTSLsw\nWmcwcTqnqGn+UgGnc4ppNLYuuPdycSTmivlL/QJ8UKu6t1HsqejNJt46sI8Vp08BMCYohHdnxBPo\nIs0U6p7ii/z5ePcYUVNtrOHTS59xpuYsAJN8JrI4dAH2KnEe1GUD1QFiGyiwGZP95Qf4Omc1BqsB\nT60nv414hP6u0nya6U7D1owWC//48RAfH/sJAYj28+eDuFmEu0uzWFLmMlarQHZZZUtR+slLhRRU\n1rY6RqNSERXi1xKpGdorEFcHcaOilfW6llTlyUuFpOaXYra2HvkQ5u1+eRdhRBAhXj0/VdkTSC0r\nZWlyIumVFaiVSv6/seN5ZNgISUZF9RYT75zdwaqsowCM9g7n7RF3SnZI8qmqFD699Dl15jqcVE48\n1Ot+RngOF1WTbKA6QAoGqplifQn/yfyErIZLKFCQEDCTO4PmdPpwsM6gedz/f9P2IwCDPWzj/sOd\npTnu/8f8PJ7evo2i+jocNRpemTSF+QOj5JtWN6O4uq6l0+/kpQLSi8tbLUpWKKCPv3ereVT+7l23\n7kcQBAoqa1vquk5cKuRSaeuBlUqFgv5BPq2K5b1dnLpMk0znYxUEPjt5nHcPHcBotRDh4cEHcQkM\n9u28qdedSWp1Mc8eW9+yputPA6fyYN9xklzTZbAYWJO3lh9K9wAw0HUAj0Y8jKdW/IfcbmWg1qxZ\nw0cffURKSgp1dXWYTCbU7cwtqaqq4ve//z1btmxBoVCQkJDARx99hLu7+zW/p5QMFNjG028s3Mzm\nwq0ICIQ7hvF478cIcJDmgMhj5Tk8d+w7ihqlv3CyRq/n5d072ZKeBkB87768MTUWDwn8u8vcGDU6\nPSnZhS3zkM7mlWCytG7vD/RwJSbi8jykCD/PG/58WqxWMoorWnUXltY2tDrGXqNmSFhAS4dcdFgA\nTvbSKyqWuTaK6+t4dkcSB/NyAVg0OJoXJ0zGUSO9mjSrIPBFxmE+7CaL4rMbcvg48xOK9EWoFWru\nCp5LnH+sZNaedSsDlZycTGVlJY2NjTz88MMdGqiEhAQMBgNr1qwBYMGCBTg5ObFx48Zrfk+pGahm\nLtal85/MTyg3VqBValkcuoDJPpMkaUxqjXr+mrKVrfm2vPX0gP78ddjteNhJs47r+wupLN+zi3qT\nET8nZ96dEc/4EGnWcclcHwaTmbN5xS1RqlPZhdTrWy/IdXe0Z2jTcM9hEUEMDPJFo247/dz8es07\nAlOyi6jTtx5Y6eZo3zIsNCYiiAHtvJ5M9yI5M50Xdm2nWq/H096Bt6fPYHpEH7FltUlJYy3Ljn/P\nkbJLACzoNYLnombgoJai0bOSVLyddfkbsAgWAu0DeLz3Y4Q5hYotrRXdykA1s2fPHqZMmdKugcrJ\nySE8PJxTp04RHR0NQEpKCkOHDiUnJ4fQ0Gv7h5CqgQLQmXV8lbOSwxVHAIjxGMZD4ffjoum6lMSv\nYXPeaf56KpF6swFfexfeGv4bxvne/M6JayGvpoantydyvKgQgEdjRvD0mPHYyZOaexTXGjG6csWJ\n2WJpN6IV5Onaav5SL19PeWBlD6PBaOT1/Xv45twZACaFhvP32Dh8naS5K3B7wXleObmFGlMjnlpH\nXo+5gykB0qyhrTRW8knW/zhfa+vonuY7lXtC7sJOJb2OwB5roDZu3Mg999yDXt+6S8fOzo5vv/2W\nO+64o83fM5lMmM2XW6UbGxvx8vKSpIFq5nD5Eb7M+ZpGSyMB9gG8HvUXSdZFARQ0VPPcsQ2cqMwD\n4LPx9zFWoibKbLXy76M/8s+fDmMRBAZ4+/BhXAJ9vaRZxyXz62lVs3TJNqjy5zVLV6JQQF9/75Zi\n72G9Aru0pkpGfFJKinkqOZHs6iq0KhXLxk9iSfQwSdYPAWzNP8szR9cDMNGvD2/EzMHHXppGr9HS\nyLLTL1FtqsZV7crDEQ8w1D1abFlXJbM8iT4+MzvVH0jizl1bW4ubm9svfu7u7k5tbW0bv2HjjTfe\n4NVXX/3Fz83WRkCaBmqs9xj6uPThbxfepUhfxI+VRxnvPVZsWW0S5OTOlxMf4G9nkvk66yc+urBX\nsgZKrVTyx9FjmRgaxlPJiaSWl3HHmq95ceJk7h0cLcl0qcyvQ6FQEOzlRrCXG3eMsLVyX9k1d+pS\nIWqV0jZ7qlcg0eGBuDlKb9aZTOdjsVr5+PhP/OPHw5itVvp5efNh3Cz6e0tzwDHYap4+St0DwO/7\nT+aJ/pMlfd3aW7qPalM1oY4hPBP5FG6aX97DpYLeXMmx0lc6/XUlUd3l6upKTU3NL35eXV2Nazs7\n0P785z+j0+la/lRUVACQU7upy7R2Bj523twRmADA1qJErIK1g98QD7VSydKBU3HV2HO8IpcTFbli\nS2qXYQGBbFm0hHkDBmGwmFm+ZxePbP6ecp2u41+W6fZ4OjsybXAfnr1jMiv/tJAvf38PSxMmMGlg\nhGyebhEKamtZtGEt7x0+iNlq5cGhMWy8Z7GkzRPArqILXKqvIMDBjcciJ0raPJmsJrYVbwdgXvCd\nkjZPAJk1q7EKho4PvE4kYaCGDh2KwWDg9OnTLT87ffo0RqORoUOHXvX3NBoNDg4Orf4AZNSuwiqY\nrvp7UmCs1xg8NB4UNBZyuvqM2HLaxUljx6KIkQB8evGgyGo6xlmr5Z3YeP41czaudnbszs5i5sov\nW1Y0yMjI9Ew2paUya9VXHC0swMfRiS/mzOPlSVMkXw8pCELLtfWhvmMlOYfvSg5XHKHaVE2wQxDR\nbtJcBdaMyVpPVu03XfLaXWagLBYLer0eo9HWNWMwGNDr9Vitv4y2hIWFMWvWLJ555hnKy8spLy/n\nmWee4fbbb7/mAvIraTSXkFe37Vf/P3QlGqWGeP9YADYXJSL1cVz39R6NvUrN7uKLXKwtFVvONTGr\nbySJi5YwJiiEikYdD2/6juV7dqE3S9tcy8jIXB+1BgNPJSeyNDmROqOB2IjeJC5awqSwcLGlXRM/\nlmdzuqoAD60j88JixJbTLlbBytYi2/01IWCWpCNlAJdq1mOy1uFtN7TTX7vLDNSKFStwcHAgLi4O\nAGdnZxwcHNi3bx+5ubk4Ozuzf//+Vsd7e3vTu3dvevfujY+PD1999dUNv//F6i8QJJwaA7jNdzJO\nKkcy6jO4WJ8utpx28bRz4q6mL3Z3iEI1E+jiytdz57Ns/CQ0SiUrTp9izpqVnC/rHiZQRkamfY4W\n5pOw6is2pqXioFbzxtRYPk6Yg5ej9EavXI1PLh4AbA+qUhxVcCXHq05QrC/BW+vNaK+RYstpF4vV\nQHrN1wD0cV/S6a/fIyeRf3chFqu6jDH+7xPoNEVsWe2yIf97NhZuJtptME9HLhVbTrsU6KqJ2/7/\nAEiO/SNBTu7iCrpOzpaWsDR5K1lVVWiVKp4ZN4GHhg2XbEeOjIzM1TFZLPzzpyP8+9iPWAWBKF8/\nPoybRYSHp9jSrotzVYXctecTHNVafohbiptWmg1QYEs1vnr+dS41ZLMkbDHT/KaKLaldLtVu4GTZ\na7hp+zHW63OcnJw6tQtPEjVQnU0f10UApFV9LvnUWKzfNLRKLSk1Z8jV5Yktp12CHN1JCB6MRRD4\nPOOQ2HKumyhfPzYvuI9Fg6MxWi28eWAv93+/juL6OrGlycjIXAfZ1VXcvW4N/zp6BEEQeHz4KNbN\nX9jtzBPAp+m2iP494cMlbZ4AztemcqkhGxe1CxN9Jogtp10EwcLF6i8A6Of+YJekGnukgQpzvQOt\n0o0qwxnK9cfFltMuLhoXJvtMBGBrobTrtgAe6TcegHXZJ6kwNHRwtPRw0Gh4fcp0Ppn9GzztHTiY\nl8usVV+RlCHtFKqMjIwtArL23Blmr15BSkkxAc4urJx7N8+Nn4hWJe3C67a4VFdBcsF5NAol9/cZ\nI7acDtlSlAhAnH8sWqW0VxoVNOyiwZSHkzqYIOfpXfIePdJAqZUO9HZbCNiiUFJnpn8cKoWKHyt/\nolRfJracdunr6stU/0gMVjMrMn8UW84NMy2iN9sW38/ksHCq9XqeSNzEsp3JNBiNHf+yjIzMTada\n38iTiZtZtms7OpOJ2c1NIsEhYku7YT5LP4gAzAmNxs/h6iN7pEBW/SXO16Zir7Rnqq+0S2MEQWi5\n9/d1X4JS0TVdmD3SQAFEuN2DSuFAaeMhqg0XxJbTLl52Xoz1Go2AwLbiJLHldEhzFGp11lHqTZ0/\nW+Nm4ePkxGd3zGX55CloVSrWnj/b8mQrIyMjHQ7l5TJr5VckZabjrNHyXuxM/hGfgJt9953tVdJY\ny8bcFBTAQ33Hiy2nQ5o776b63YaTWtoF+qWNR6gxXsBO5UWYS9ubTDqDHmug7FTu9HKdC8DFaulH\noWYFzARgf9kBaky/HCoqJYZ5hTDCK4xak5612dJOkXaEQqHg/ugYNi64l0gvb3Jqqpn/7Wo+OnoE\nSxsjN2RkZG4eBrOZtw7s5d7vvqW4oZ4Y/wC2LLqPOwcMlHz7fEd8lXEEk2BlRuBAerlIe+VUUWMx\nx6tOoFaoifOLFVtOh1xsij71cVuMStl1e/l6rIEC6ON+HwrU5NfvpN4k7QnaQQ6BxLgPxSSYSS7e\nKbacDnm0KQr1RcZhjBZzB0dLn0gvb76/ZzEPDR2O2WrlvcMHWbRhLQXtrBKSkZHpOjIqK5i3dhWf\nnDiGSqHgT6PHsuauBYS6uYst7VdTY2xkTdPDZ/O1VMokFm1DQGCC93jcte5iy2mXSv0ZyvRHUSud\niXC9q0vfq0cbKEe1H6EuCYCVi9U3PlPqZpEQOAuAH0p3ozNLe/XIRL8+9Hfzo0xfz/e5KWLL6RTs\n1GpemnQbX86Zh4+jE0cLC5i56ks2paWKLU1G5pZBEARWnD7F7au/5nx5GSGubnxz1wL+NHocamXP\nuGWtyjqKzmxknG8EgzwCxZbTLpXGSg5WHEaBglkBcWLL6ZC0poxThOt8NKquXRbeMz6N7dDP/X5A\nQW7tJhrN0i7Q7uPcm/4ukTRaGtldukdsOe2iUCh4pJ+tjfV/6YewSHxo6fUwMSycbYuXEBvRm3qj\nkaXJiTyVnEitofvWe8nIdAfKdToe2fw9y/fswmAxM2/AILYsvI+YAGmbjOuh0WxqacB5tJ+0RwEA\nJBfvwCJYGOU5Aj97P7HltEutMYuiht0oFVr6uC3q8vfr8QbKRduLQKcpWDGRWbNKbDkdMjvAFoVK\nLtmB0SrtlSNxgQMJcfIgt6GSHYU9K0rj6eDIxwlzeHNqLA5qNRvTUklY9RVHC/PFliYj0yO5cmel\nq50d/4yfzTux8bjYdV0NixhsyDlJlVHHYI9ARnuHiy2nXerN9ewu3QtAQlOdrpS5WP0lAGEuc7BX\ne3f5+/V4AwXQz/0hALJqvsVokfbQxCi3QYQ5hlJjquVAubRXpqiVSh7qOw6A/6YdkPzQ0utFoVCw\nIGoImxfeR5SvHwV1tSxcv5b3Dx/EZLGILU9GpkegN5tYvmcXD2/6jopGHWOCQkhctISEfpFiS+t0\nTFYL/0u3DSF+pO8EyRfC7yz5AYPVwGC3KMKcwsSW0y46UxF5dYmAkn5dsLalLW4JA+VpPwgfh1GY\nhQayateKLaddFAoFCU1RqMSiJCyCtG/Ud4YOxdvOidSaYg6VZoktp0uI8PBk3fyF/G7EKARB4F9H\nj3D3ujVkV1eJLU1GpluTWlbKnDUrWXH6FGqlkufHT2TFnXcR6CLtmUg3SmL+WYoaa+jl7MX0wP5i\ny2kXg8XAjpJdQPeIPqXXfI2AmWDnGThpgm/Ke94SBgog0v1BADKrV2Kx6kVW0z4jPYfja+dLmaGM\no5XHxJbTLnYqNUuaJug2L8TsiWhVKp4dN5FVc+8mwNmFlJJiZq9ewdpzZ3pc5E1GpquxCgKfnjjG\nnd+sIr2ygggPD9bfvYjfDh+FqocUiv8cqyC0LGJ/pN94ye/g3Fu2n3pzPb2dIujvIu1ooMFSRXbt\nBgD6uT9w0963Z35S28DHYTTudgMwWKvIrtsktpx2USqUzAqIB2zDy6R+g17QawTOajt+LM8mpbJn\n1wiNDralF2b3jURnMrFs13aeTNxMVWOj2NJkZLoFxfV13P/9Ot48sBej1cKiwdFsWnAfg32lXaD8\na9lbfJGMujL87F2YHTJEbDntYraa2VacDMDswFmSTzVm1nyDRdDj5zgBd7ubZ/ZuGQOlUChaolDp\n1V9iFaQ9u2i89zjcNG7k6vI4U3NWbDnt4qKxZ2HECAA+uSjtuq3OwM3enn/EJ/Be7EycNVqSMtOZ\nteorDubliC1NRkbSJGU0f1dy8bR34L+z5/D6lOk4ajRiS+tSBEHgv00R+gf6jkWrlPbeviMVP1Jp\nrCTQPoCh7tFiy2kXs1VHVs0a4HKm6WZxyxgogECnqThrwtCZC8mv3y62nHbRKjXE+88ALi9wlDL3\n9R6DVqliV9EFMmulPS6iM1AoFNw5YCBbFy1heEAgJQ313PfdOt46sBeDWdrmXEbmZtNgNLJsZzJP\nJG6iWq9nUmg42xbfz/SIPmJLuykcq8jlVGU+bhoH5ocPF1tOu1gFa8valoSAmSgV0rYJl2o3YLTW\n4GkfjZf9sJv63tI+M52MQqFqmgtlW+8i9dTYFN/JOKocSKu7SHpdhthy2sXH3pm5YbYPb3OXya1A\niJsbq+fdw9LR41ApFHxy4hjz1q4io7JCbGkyMpKgpV7w/Fm0KhWvTJrCZ3Pm4uPkJLa0m0Zzfei9\nvUfhpNaKrKZ9TlWnUKgvwlPryRiv0WLLaRerYCK9egVgiz7d7FTjLWWgAEJcErBX+VBrzKBYJ+2i\nZweVA9N8pwKXFzlKmYf6jkOJgs15pynSSXufX2eiVir54+ixrL1rAaGubpwvL+P21V+z4vQpyZt0\nGZmuwmK18tHRI8z/djU5NdUt65IeGBoj+QLqzuRCTTH7SzJwUGlYHDFKbDntIggCWwptGY+Z/nGo\nlWqRFbVPbl0ieksprpre+DtOvOnvf8sZKJVCS1/3e4HusWR4hv90NAoNJ6tPka8rEFtOu4Q4eTAz\neBBmwcrnGYfFlnPTGRYQyJZFS5g3YBAGi5nle3bxyObvKddJey2PjExnU1Bby6INa3nv8EHMVisP\nDo3h+3sW09/bR2xpN53mzru7wmPwsHMUWU37XKhLI7MhC2e1M5N9br4huR4EwcrF6i8A6OfxIAoR\nUo23nIECCHedh0bpSoX+JOWNJ8WW0y6uGlcmNX2Qu0MU6pGmxZjrsk9QZbj1jIOzVss7sfH8a+Zs\nXO3sWk1XlpG5FdiUlsqsVV9xtLAAH0cnvpgzj5cnTcFOLe1oRleQW1/JtvxzqBVKHuwzVmw5HdJ8\nj4n1m4adStoT4AsbdlNvysZRHUCw8wxRNNySBkqjdKK32z1A94hCzQyYgRIlRyp+pNxQLracdunv\n5s8kv740WkyszPpJbDmiMatvJImLljAmKISKRh0Pb/qO5Xt2oTdLez2PjMyNUmsw8FRyIkuTE6kz\nGoiN6E3ioiVMCgsXW5pofJZxCCsCt4cMIcDRTWw57ZLTkMOZmrPYKe2Y7jdVbDntIghCy727r/sS\nlApxujhvSQMF0NttASqFPcW6/dQYLootp1187HwY7TUKK1aSiqXdPQjwaFMU6uvMn2gwG0VWIx6B\nLq58PXc+y8ZPQqNUsuL0KeasWcn5slKxpcnIdCpHC/NJWPUVG9NScVCreWNqLB8nzMHLUdopq66k\nTF/PdzmnAHi4aeWVlGmOPk3xnYyz2llkNe1T1niUKsM57JQehLnMEU3HLWug7FSehLv+Bri8gFDK\nNI/S31u2n1qTtPf5DfcKZZhnCDWmRr7NPi62HFFRKhQ8Nnwk6+9eRISHB+mVFcz9ZhWfnjiGVS4w\nl+nmmCwW3j98kIXr11JQV0uUrx+bF97Hwqghkh++2NWsyDyC0WphWkB/ertKu/arRF/CT5XHUClU\nxPnHii2nQ5qjT73dF6FWOoim45Y1UAB93e5DgZr8+mQaTBIv0HYMZqh7NEarkR0lO8WW0y4KhaIl\nCvVF+mGMVmnv87sZRPn6sXnBfSweHI3RauHNA3u5//t1FNdL2wzLyFyN7Ooq7l63hn8dPYIgCDw+\nfBTr5i8kwsNTbGmiU2fSszrLtoar+VooZRKLkhEQGO81Fk+ttP/9qgznKW08glrhSITr3aJquaUN\nlKMmkBDneAQspFd/JbacDmmOQu0s+YFGi7RXh0z270dfV19K9HVsyTstthxJ4KDR8NqU6Xwy+zd4\n2jtwMC+XWau+IikjXWxpMjLXjCAIrD13htmrV5BSUkyAswsr597Nc+MnolVJe8L2zWJN1jHqzQZG\ne4cT7XlzFtveKNXGag6UH0SBglndYGnwxSpb9KmX611oVeIunb6lDRRAP48HAMiu24jeLO3hh/1c\n+tLPuS86i449pfvEltMuSoWCR/ranrw+vXhQTlddwbSI3mxbfD+Tw8Kp1ut5InETy3Ym02C8devF\nZLoHVY2NPJm4mWW7tqMzmZjd3CwRHCK2NMmgt5j4KvMIAI/2myCymo5JLtmBWTAz3COGAAd/seW0\nS50xh4KGXSjR0Md9sdhyZAPlqu1NgONkrIKBzJrVYsvpkIRA2xNCUvF2TFZpd3TNDB5EoKMbl+or\n2Fl4QWw5ksLHyYnP7pjL8slT0KpUrD1/tuWJXkZGihzMy7FFTDPTcdZoeS92Jv+IT8DN3l5saZLi\n+9wUyg0NDHDzZ5xvhNhy2qXBrOOHkj3A5QyHlEmv/hIQCHW5HQe1r9hyZAMFEOnxEABZtd9gstaL\nrKZ9ot2GEOwQTLWpmoPl0h5WqVGqeKiPrfvk0/QD8lTun6FQKLg/OoaNC+4l0subnJpq5n+7mo+O\nHsFitYotT0YGAIPZzFsH9nLfd+soaagnxj+ALYvu484BA2/5QvGfY7Za+V/T4MzHIidI/vz8ULob\nvVXPQNcBRDj3EltOuzSaS8mp2wwo6Oe+RGw5gGygAPC0H4K3/XBM1nou1awTW067KBQKZjc9KSQW\nJWEVpH2jnRs2DE+tI2eqCvmxPFtsOZKkecXFQ0OHY7Zaee/wQRZtWEtBba3Y0mRucTIqK5i3dhWf\nnDiGSqHgT6PHsuauBYS6uYstTZIkF5wjX1dNqJMnsYEDxJbTLkarkeTiHQDMDpglspqOyaj+GgEz\nQU7TcdaGiS0HkA1UC/08HgQgvWYlFqtBZDXtM8prJN5ab0oMJRyvOiG2nHZxUGu4r49tIWXzQk2Z\nX2KnVvPSpNv4cs48fJ2cOFpYwMxVX7IxLVVsaTK3IIIgsOL0KW5f/TXny8sIdXXjm7sW8KfR41Ar\n5dtGWwiCwCdN0aeH+45DJcJqkethf9kB6sx19HIKZ6CrxM2epYZLteuBy/dqKSDtf+GbiJ/DONy0\nkRgs5eTWbxFbTruoFCpmBcQBsKUwUfKpsYW9RuKo1nKoNItzVYViy5E0E8PCSVy0hNiI3tQbjTyV\nnMhTyYnUGqRt6mV6DuU6HY9s/p7le3ZhsJiZN2AQWxYtISYgUGxpkmZ/SQZptSX42Dvzm9BoseW0\ni0WwkFiUDNhqn6SeasyqXYtZ0OHrMBYPO+mYPdlANaFQKIhscrYXq77EKphFVtQ+E30m4Kp2JVuX\nw7na82LLaRc3rQMLwocDtDyhyVwdTwdHPk6Yw5tTY3FQq9mYlkrCqq84WpgvtjSZHs6Vuxtd7ez4\nZ/xs3omNx1mrFVua5PlvU4T9gT5j0aqkvffvx4qjlBvL8bf3Y7hHjNhy2sVsbSSjehVAyz1aKsgG\n6goCnabhpA6hwZxHYcMuseW0i1apZYb/dAC2FiWKrKZj7u8zFo1SxfbC81yqk/a4CCmgUChYEDWE\nzQvvI8rXj4K6WhauX8v7hw9issiDSWU6F73ZxPI9u3h403dUNOoYExRC4qIlJPSLFFtat+BERS7H\nK3Jx1dhzd9PDolQRBKHlnjErYCZKiacac+q+x2itxsMuCm/7EWLLaYW0z9xNRqlQ07epuj+t6nPJ\np8am+k7BXmnP+doLZNZniS2nXXwdXPhNaDQC8Fm6HIW6ViI8PFk3fyG/GzEKQRD419Ej3L1uDdnV\nVWJLk+khpJaVMmfNSlacPoVGqeT58RNZceddBLqIO6SwO/FpU2R9YcRInDV2Iqtpn5Sa0+Q3FuCh\n8WCc1xix5bSLVTBxsWnIdT/3ByWXapQN1M8Ic7kdO5U3NcY0ShulPSbASe3IVL/bAEhsWgQpZR7q\nOw4FsDE3hZJGucPsWtGqVDw7biKr5t5NgLMLKSXFzF69grXnzkje5MtIF6sg8OmJY9z5zSrSKyuI\n8PBg3d2L+O3wUajkQvFr5mJtKbuLL2KnVHNf79Fiy+mQLYW26FO8fywapUZkNe2TX59Mo7kYF00v\nAp1uE1vOL5C/JT9DpbSjr5ttwmla1Wciq+mYOL9YNAo1x6tOUthYJLacdgl39iIuaCAmwcqXGUfE\nltPtGB1sS6vM7huJzmRi2a7tPJm4mapGaa/1kZEexfV13P/9Ot48sBej1cKiwdFsWnAfg339xJbW\n7WiOPt0VPgwvOyeR1bTPxbp00uszcFI5Mtl3kthy2kUQrKQ1rW3p5/4ACgmmGqWnSAL0crsLjdKZ\ncv1xKvQpYstpF3etOxO8xyMgdIso1CNNqw2+yT5OtVG+8V8vbvb2/CM+gfdiZ+Ks0ZKUmc6sVV9x\nMC9HbGky3YSkjObPTC6e9g78d/YcXp8yHUeNtKMRUqSgoZrE/DOoFAoebBoaLGWao0/T/abhoHIQ\nWU37FOn2UWfKwkHlR4iLNKekd6mBEgSB5cuXExgYiJOTE5MmTeLs2bNXPf62225Dq9Xi7Ozc8uff\n//53V0psE43SmV5NW54vVn1x09//epkZEIcCBYcqjlBhqBRbTrsMcg9gvG9vdGYjq7OOii2nW6JQ\nKLhzwEC2LlrC8IBAShrque+7dbx1YC8Gs7S7R2XEo8FoZNnOZJ5I3ES1Xs+k0HC2Lb6f6RF9xJbW\nbfk84xAWQWBW8GCCnNzFltMuubo8UmpOo1VqifWbJracdhEEgYtNGaC+7vehVEjT3HepgXr33Xf5\n7LPPSE5Opry8nPHjxxMXF0d9/dXXpTz33HPU19e3/HniiSe6UuJV6eO2CKXCjiLdHmqNmaJouFb8\n7P0Y5TkCi2AhuXi72HI65NF+tiXDKzJ/pNEs7X1+UibEzY3V8+7hqTHjUCkUfHLiGPPWriKjUu5y\nlGlNS93c+bNoVSpemTSFz+bMxcdJ2iknKVNhaGBd9kkAHmm6pkmZ5gzFZJ+JuGhcRFbTPhX6E1Qa\nzqBVuhHuOldsOVelSw3Uv//9b5555hkGDx6Mg4MDr732Gkajke+++64r37ZTsFd7Ee4yB4CL1V+K\nrKZjEppG8e8p20e9Sdr7/EZ5hzPEI4gqo471OdKepC511Eolfxg1lrV3LSDU1Y3z5WXcvvprVpw+\nJReYy2CxWvno6BHmf7uanJrqlrVBDwyNQSmxjqbuxteZP2Kwmpni349+ruIvtm2PUn0ZRyp+QqVQ\nEe8/Q2w5HZJWbat96u22ELVSuqnGLjNQNTU1ZGdnM2rUqJafqdVqhg0bxsmTJ6/6e//3f/+Hh4cH\n/fv3Z9myZe1Gq0wmE42Nja3+dCZ93ZegQEVe3TZ0JmkXaIc5hTLYLQqD1cCOUmnPsFIoFC1PbJ+l\nH8Zkleca/VqGBQSyZdES5g0YhMFiZvmeXTyy+XvKdA1iS5MRiYLaWhZtWMt7hw9itlp5cGgM39+z\nmP7ePmJL6/bUmwysaipBeLSprlPKJBUnIyAwxnM03nbeYstpl2pDGiW6g6gU9kS43SO2nHbpMgNV\n27QI1d3dvdXPPTw8Wv7u57z55pukp6dTUVHBN998Q3JyMg8//PBV3+ONN97A0dGx5Y+Xl1en6Qdw\n0gQR7DwDATPpNSs69bW7guaFkDuKd2GwSHv1x7SA/kQ4e1PUWENi/tXr4mSuHWetlndi4/nXzNm4\n2dmzOzuLWSu/Yne2tGeEyXQ+m9JSmbnqS44WFuDj6MSXc+bx8qQp2KmlPSG7u7A2+zi1Jj3DvUIZ\n5hUitpx2qTHVsK/MNiU9IVCaxdhXcrEp+tTLdR52KndxxXRAlxkoV1fbELbq6upWP6+qqmr5u58z\nbtw4PD09USqVREdH88EHH7B+/fqrRpb+/Oc/o9PpWv5UVHR+7Uc/9wcAyK79DoNF2sMLI1360dsp\nggZLA3vL9oktp12UV0ShPrl4EKucbuo0ZvWNJHHREsYGh1DRqOPhTd+xfM8u9HK9WY+n1mDgqeRE\nliYnUm80EhvRm22LlzAxLFxsaT0Go8XMFxm2GYHdIfq0vXgnJsFEjPtQghykvc+w3pRHfv0OFKjp\n436f2HI6pMsMlJubG+Hh4Rw9ernTymw2c+rUKYYNG3Zt4pqGuV2tlkOj0eDg4NDqT2fjZtcPf8eJ\nWAQ9mTVrOv31OxOFQsHswAQAthVvx2yVdkdWQshg/B1cyawrY0/xRbHl9CgCXFxYced8lo2fhEap\nZMXpU8xZs5LzZaViS5PpIo4W5pOw6is2pqXioFbzxtRYPk6Yg6eDo9jSehQb805Tpq8n0tWPSX7S\n7mDUmXXsKt0NQELgLJHVdEx69VeAlVCXBBzV0p9J1qVF5E888QTvvvsuZ8+epbGxkeXLl6PRaLjz\nzjt/cWxJSQlJSUk0NDQgCALnzp3j6aef5o477sDRUdwLQD932wLDzJo1mKzSrikZ6j6EQIdAKo2V\nHK6Q9rBKrVLFA33GAvDftANy0XMno1QoeGz4SNbfvYgIDw/SKyuY+80qPj1xTI749SBMFgvvHz7I\nwvVrKairJcrXj80L72Nh1BDJrb7o7lgEK/9rGpz5aL/xkj+/u8v20mhppL9LJH2ce4stp1305nJy\n6jYBipaValKnSw3UM888wwMPPMD06dPx8vJi//79JCUl4ezsTG5uLs7Ozuzfvx8AvV7PK6+8QmBg\nIC4uLsyZM4epU6fy5Zfid8B5OwzDy34oJmst2bUbxJbTLkqFkoQAW557a1ESVsEqsqL2mR8eg5vG\ngZSqfI5V5Iotp0cS5evH5gX3sXhwNEarhTcP7OX+79dRXF8ntjSZX0l2dRV3r1vDv44eQRAEHh8+\ninXzFxLh4Sm2tB7JjsJUchoqCXZ0Jy5okNhy2sVoNZFcvAO4XB8rZTJqVmIVjAQ6TcFVGyG2nGtC\nIfSgx/7GxkYcHR3R6XSdns4ratjH4eI/Ya/yIS5sCyqFtlNfvzMxW808d/oFKoyV/LHvkwz3iBFb\nUrt8lLqHf13Yy0S/Pvx33GKx5fRodmVl8vzOZCr1jbjb2/Pm1BnE9+krtiyZ60QQBL49f5a/7tuN\nzmQiwNmF92bMZEywtAuauzOCIHDXnk84X13EK9GzWBgxUmxJ7bK7dA9fZK8g1DGEvw5aLulomclS\nx7bcWZit9dwWtAJP+6hOf4+u8AfyKpdrxN9xIq7aPugtZeTVJYotp13USjUz/eMB2+h+qXvkRRGj\ncFBp2F+SQWp1sdhyejTTInqzbfH9TA4Lp1qv54nETSzbmUyD0Si2NJlrpKqxkScTN7Ns13Z0JhOz\nm5oGZPPUtRwqy+J8dRHedk7MDbu2Ol6xsAgWthYlAbbok5TNE0BW7beYrfX4OIzqEvPUVcgG6hpR\nKBQttVAXq79AEKQ9u2iSzwRc1M5kNVziQl2a2HLaxcPOkfnhtijZp+kHRVbT8/FxcuKzO+ayfPIU\ntCoVa8+fZfbqFaSUyOZV6hzMy2HWqq9IykzHWaPlvdiZ/CM+ATd7e7Gl9Xg+SbONAljSewx2KmmP\ngzhWeZwyQxm+dr6M8Bwutpx2sVj1ZNSsBC7XG3cXZAN1HQQ7z8BRHUi9KYfCht1iy2kXO5UdsX7T\ngcsLJKXMg33HoVEoSco/R269tPf59QQUCgX3R8ewccG9RHp5k1NTzfxvV/PR0SNYrNKum7sVMZjN\nvHVgL/d9t46Shnpi/APYsug+7hwwUPLRhZ5ASmU+P5Zn46y2Y0HECLHltIsgCGwpsl3zZwXEo1Ko\nRFbUPjl1mzBYKnHXDsDXYbTYcq4L2UBdB0qFuqU7IK36c8mnxqb5TcFeacfZ2nNkN+SILadd/B1c\nuT1kCFYEPks/JLacW4bm1R4PDR2O2WrlvcMHWbRhLQVXGXYrc/PJqKxg3tpVfHLiGCqFgj+NHsua\nuxYQ6uYutrRbhk+bOu8W9BqBi0ba0b4zNWfJ1eXhpnFjvPc4seW0i1Uwc7H6KwAiPR7sdg8DsoG6\nTsJd5mCn9KDacJ6yxp/EltMuzmpnbvOdDMDWpkWSUuahvuNQABtyT1GqlzvEbhZ2ajUvTbqNL+fM\nw9fJiaOFBcxc9SUb01LFlnZLIwgCK06f4vbVX3O+vIxQVze+uWsBfxo9DrVSvnTfLDJry9hZdAGt\nUsWSPmPEltMhzdf6OP9YtEqNyGrap6B+BzpzAc6aUAKdpoot57qRv4XXiUppT293W6dYWvVnIqvp\nmDj/GagUKo5WHqNYXyK2nHbp7erDtID+mKwWVmT8KLacW46JYeEkLlrCjIg+1BuNPJWcyFPJidQa\npL0WqCdSrtPxyObvWb5nFwaLmXkDBrFl0RJiAqQ9Sbon8r+miPidYUPxsXcWWU37ZNRlcKEuDUeV\nA1N9bxNbTrsIgtCytqWv+/0oJJ5qbAvZQN0AEa53o1Y4Udb4E5X6c2LLaRdPrQfjvcchIJDY1JUh\nZZpXI6y5dIw6k15kNbceng6O/F/CHbw5NRYHtZqNaakkrPqKo4X5Yku7ZdidncXMlV+yOzsLVzs7\n/hk/m3di43HWSnd0Sk+lSFfD5rzTKFHwUB9pp8PgcvRpqu8UHFSdv5mjMynRHaDGmI69yodQl9li\ny7khZAN1A2hVLvRyuwu4vPhQyszyj0eBgoPlh6gySnuf3xDPIMb49KLebGB11tGOf0Gm01EoFCyI\nGsLmhfcR5etHQV0tC9ev5f3DBzFZpN192p3Rm00s37OLhzd9R0WjjjFBISQuWkJCv0ixpd2yfJFx\nGLNgJT54EKHO0h5Omq8r4ET1KTQKDTP8p4stp0PSWqJP90p6rmJ7yAbqBunjthglGgobfqDOmC22\nnHYJcPBnhEcMZsHM9uKdYsvpkOYlw19l/ojeIi/AFYsID0/WzV/I70aMQhAE/nX0CHevW8Olammb\n8O7I+bJS5qxZyYrTp9AolTw/fiIr7ryLQJe2F6/LdD1VBh3fZp8AbGtbpE5zhmGSzwTcNG4iq2mf\nisZTVOhPolG6EO46T2w5N4xsoG4QB7UPoa53AAIXq78QW06HJDSN8v+hdDcNZmnv8xvnE8FA9wAq\nDA18l3NKbDm3NFqVimfHTWTV3LsJcHYhpaSY21evYO25M5LvQu0OWAWBT08cY+43q0ivrCDCw4P1\ndy/it8NHoZILxUVlZdZPNFpMTPTrQ383f7HltEu5oZwjlT+iRMnMgDix5XRIc/Qpwu0eNEonkdXc\nOPI39FfQz30JoCS3bis6s7QLtHs5hzPIdSB6q6FlO7dUUSgULU98n6UfwizPJRKd0cEhbFu8hNl9\nI9GZTCzbtZ0nEzdT1dgotrRuS3F9Hfd/v443D+zFaLWwaHA0mxfY0qYy4tJgNvJ1pq3LurkuU8ok\nFW/HIlgY7TUSHzsfseW0S40hnWLdPlQKe/q4LRRbzq9CNlC/AmdNKEFO0xEwk1H9tdhyOqR5yfD2\n4p0YLNLurIoNHECYkyf5umqSCqRdqH+r4Gpnzz/iE3gvdibOGi1JmenMWvUVB/OkPWNMiiRlNJ+7\nXDztHfjv7Dm8PmU6Dhppt53fKqzLPkGNqZGhnsGM8AoVW0671Jrq2Fu2H7icaZAyF6u/BCDMZQ52\nKmnXlXWEbKB+JZEettHzl2rXY7TUiKymfQa6DqCXUy/qzHXsL5f2yhSVQsnDTVGoTy4ekNNFEkGh\nUHDngIFsXbSE4QGBlDTUc99363jrwF4MZrPY8iRPg9HIsp3JPJG4iWq9nkmh4WxbfD/TI/qILU2m\nCaPVwhcZhwF4rN8EyQ933FmyC6PVSLTbEEIcg8WW0y4NpkLy65NQoGrK4HRvZAP1K3G364+vwzgs\nQiOZNWvEltMuCoWC2U1RqG1FSZit0r7hzQkZgo+9MxdrS9lXkiG2HJkrCHFzY/W8e3hqzDhUCgWf\nnDjGvLWryKisEFuaZEkpKWb26hWsPX8WrUrFK5Om8Nmcufg4dd8akJ7IlrzTFDfW0sfFh8n+/cSW\n0y6NlkZ2luwCYHag9KNP6dVfIWAhxDkeR033n2kmG6hOoDkKlVmzBrNV2jUhMR7DCLD3p9xYwY+V\n0h4ToFWpeaDPWMAWhZKRFmqlkj+MGsvauxYQ6urG+fIybl/9NStOn5IjhldgsVr56OgR5n+7mpya\naiK9vNm44F4eGBqDUuLRjVsNqyC0rG15pN94yf/77C3dR4NFR1/nPvRz6Su2nHbRmyvJrvsegL7u\nD4iqpbOQDVQn4G0/HA+7wRit1WTXfie2nHZRKpTMCogHYGtRIlZB2gXa94QPx1Vjz/GKXE5U5Iot\nR6YNhgUEsmXREuYNGITBYmb5nl08svl7ynTS7va8GRTU1rJow1reO3wQs9XKg0Nj+P6exUR6eYst\nTaYNdhVd4FJ9BYGObswKjhJbTruYrCa2FW8Hukf0KbNmNVbBgL/jJNzsekbKWjZQnYBCoWiJQqXX\nrMAqSHt20TivsXhoPChoLOR09Rmx5bSLk8aORREjAfjkorTrtm5lnLVa3omN518zZ+NmZ8/u7Cxm\nrfyK3dlZYksTjU1pqcxc9SVHCwvwcXTiyznzeHnSFOzUarGlybSBcEX06aE+49Aopb1a5FDFEapN\n1QQ7BBHtNkRsOe1istaTVfsNAJEeD4mspvOQDVQnEeA4GRdNLxrNxeTVS3tlilqpJj5gBgBbihJF\nVtMx9/Uejb1KzZ7ii1yskfa4iFudWX0jSVy0hLHBIVQ06nh403cs37MLvVnaDxWdSa3BwFPJiSxN\nTqTeaCQ2ojfbFi9hYli42NJk2uGn8mxOVxXgoXVkbtgwseW0i1Wwkti0tiUhYJbkC90v1W7AZK3D\n2z4GL/toseV0GrKB6iQUCiX9mvK6F6s+R5B4auw2n0k4qRxJr88gre6i2HLaxdPOiXlNF7RPmxZ7\nykiXABcXVtw5n2XjJ6FRKllx+hRz1qzkfFmp2NK6nKOF+SSs+oqNaak4qNW8MTWWjxPm4OngKLY0\nmQ74b1Od5X29R+OglvY4ieNVJyjWl+Ct9Wa010ix5bSLRTCSUb0CgH7uD4qspnORDVQnEuIyEwe1\nP3WmSxTp9ootp13sVfZM95sGwNZC6UehHuxr6/ZKzD9DfoO8SkTqKBUKHhs+kvV3LyLCw4P0ygrm\nfrOKT08cw9oDC8xNFgvvHz7IwvVrKairJcrXj80L72Nh1BDJRwdk4FxVIYdKs3BUa1tKBqSKIAhs\nabpmzwqIQ6WQdqoxt24Leks5btp++DlKfyXO9SAbqE5EqdDQ1+0+ANKqPpd8J1Ks3zS0Si0pNWfI\n1eWJLaddghzdSQgejEUQ+LxpRouM9Iny9WPzgvtYPDgao9XCmwf2suT7dRTX14ktrdPIrq7i7nVr\n+NfRIwiCwO9GjGLd/IVEeHTvIYG3Ep+m22qfFoQPx03rILKa9jlfm0q2LgcXtQsTfaQ9JV0QLC2r\nzvq5P9jjHiZkA9XJhLveiVbpTpXhDOX642LLaRcXjQu3+UwCaMmnS5nmwZrrs09SYZA7vLoLDhoN\nr02Zziezf4OnvQOH8nKZteorkjLSxZb2qxAEgbXnzjB79QpSSooJcHZh1dy7eXbcRLQqaUcFZC6T\nXV9BcsF5NEoV9zeNTZEyzXWrcf6xaJVakdW0T0HDDzSY8nBSBxPkPF1sOZ2ObKA6GbXSgd5uCwBb\nFErqxPvPQKVQcaTiJ0r1ZWLLaZd+rr5M8e+HwWpmReaPYsuRuU6mRfRm2+L7mRwWTrVezxOJm1i2\nM5kGo1FsaddNVWMjTyZuZtmu7ehMJmY3Fc+PDg4RW5rMdfK/iwcRsA3u9XVwEVtOu2TVX+J8bSr2\nSnum+k4RW067CIJAWtVnAPR1X4JS0fO6T2UD1QX0dluASuFAaeMhqg0XxJbTLl52Xoz1Go2AwLZi\naXcPwuXFnquyfqLeJO19fjK/xMfJic/umMvyyVPQqlSsPX+2JYLTXTiYl2OLoGWm46zR8l7sTP4R\nn4Cbvb3Y0mSuk5LGWjbmpqAAHuor/fqcrU3Rp6l+t+GklnZjQmnjEWqMF7BTeRHmcofYcroE2UB1\nAVqVG71c5wFwsVr6UajmJcP7yw5QY5L2Pr9hXiGM8AqjzmTgm0vHxJYjcwMoFAruj45h44J76e/t\nQ05NNfO/Xc1HR49gsUq3e9VgNvPWgb3c9906ShrqGR4QyNZFS7hzwMAeV9txq/BVxhFMgpW4oIH0\ncvESW067FDYWcbzqJGqFmji/WLHldMjFpgxMH7fFqJR2IqvpGmQD1UX0cb8XBWry63dSb5L2BO1A\nh0BiPIZhEsxsL94ptpwOebSpFuqLjCMYLNLe5ydzdSK9vPnu7kU8NHQ4ZquV9w4fZNGGtRTU1oot\n7RdkVFYwb+0qPjlxDJVCwdLR41g97x5C3NzEliZzg9QYG1mTbatTfaQbRJ+2FSUhIDDBezzuWnex\n5bRLpf4MZfqjqJXORLjeJbacLkM2UF2Eo9qPUJcEwMrF6q/EltMhzVGoXaW70Zl1Iqtpn4l+fYh0\n9aPcUM/G3BSx5cj8CuzUal6adBtfzpmHr5MTRwsLmLnqSzampYotDbDVcaw4fYrbV3/N+fIyQl3d\n+OauBfxx9FjUSvny2Z1ZlXUUndnION8IBnlIe7FtpbGSgxWHUaBgVkCc2HI6JK0p8xLhOh+NStp1\nZb8G+QrQhdgGayrIrd1Eo1naBdp9nHvT3yWSRksju0v3iC2nXRQKRUsU6n/ph7BIfGipTMdMDAsn\ncdESZkT0od5o5KnkRJ5KTqTWIF6dW7lOxyObv2f5nl0YLGbmDRjElkVLiAmQ9s1WpmMazaaWRpTm\nukopk1S0HYtgYaTnCPzs/cSW0y61xiyKGnajVGjp47ZIbDldimyguhAXbTiBTlOxYiKzZpXYcjqk\neSFlcskOjFZpr96ICxpEiJMHuQ2VbC+QRrRC5tfh6eDI/yXcwVtTY3FQq9mYlkrCqq84Wph/07Xs\nzs5i5sov2Z2dhaudHf+aOZt3YuNx1kq7bVzm2tiQc5Iqo44hHkGM9g4XW0671Jvq2VO2D4DZTZkC\nKXOx+ksAwlzmYK/u2UuzZQPVxTSPrs+q+RajRdrDA6NcBxHmGEqNqZaD5dJe3KtWKnmo7zgAPrl4\nQPJDS2WuDYVCwT1RQ9i88D6ifP0oqKtl4fq1vH/4ICaLpcvfX282sXzPLh7e9B0VjTrGBIWQuGgJ\ns/pGdvl7y9wcTFYLn2XYVkI90m+85BsAdpb+gMFqYLBbFGFOYWLLaReduZi8ukRAST/3JWLL6XJk\nA9XFeNoPwsdhFGahgazatWLLaReFQkFCgC0KtbUoCYvQ9TesX8OdoUPxtnMitaaYg6WZYsuR6UQi\nPDxZN38hvxsxCkEQ+NfRI9y9bg2Xqrtujc/5slLmrFnJitOn0CiVPD9+IivuvItAF9cue0+Zm09i\n/lkKdTX0cvZiWkB/seW0i8FiYEfJLuBynaqUSa9egYCZYOcZOGmCxZbT5cgG6iYQ2RSFyqxeicWq\nF1lN+4z0HI6fnS9lhjKOVkp7TICdSs2S3mMA+OSitCNmMtePVqXi2XETWTX3bgKcXUgpKeb21StY\ne+5Mp0YcrYLApyeOMfebVaRXVhDh4cH6uxfx2+GjUMmF4j0KqyDwadO14pF+41FKPPq0t2wf9eZ6\nejtF0N9F2lFQg6WK7NoNQHP9b89HvjrcBHwcRuNuNxCDtYrsuk1iy2kXpULJrIB4ALYWbZN8amxB\nxAic1Xb8VJ7NqcqbXysj0/WMDg5h2+IlzO4Xic5kYtmu7TyZuJmqxsZf/drF9XXc//063jywF6PV\nwqLB0WxeYEsfyvQ89hZfJKOuDH8HV2aHDBFbTruYrWa2FW8HbPWpUk81ZtZ8g0XQ4+c4AXc7aZu9\nzkI2UDcBhULREoVKr/4SqyDt2UXjvcfhrnEjV5fHmZqzYstpFxeNPQsjRgC0PFnK9Dxc7ez5R1wC\n78+YibNGS1JmOrNWfcXBvJwbfs2kjObXyMXT3oFPZv+G16dMx0Gj6UTlMlJBEAT+e/EAAA/0GYtW\nKe19hUcqfqTSWEmgfQBD3aPFltMuZquOrJo1wOWMy62AbKBuEoFOU3DWhKEzF5Jfv11sOe2iUWqI\n858BXF5cKWXu6z0GrVLFrqILZNRKe1yEzI2jUCj4Tf+BbF20hOEBgZQ01HPfd+t4c/8eDOZrfyhp\nMBpZtjOZJxI3Ua3XMyk0nG2L72daRO+uEy8jOscqcjlVmY+bxoG7wmPEltMuVsHK1qYF7wkBM1Eq\npH2rvlS7AaO1Bk/7aLzsh4kt56Yh7X+VHoRCoaKf+/2Abb2L1FNjU3wn46hyJK3uIul1GWLLaRcf\ne2fuDBsKwP/S5ShUTyfEzY3V8+7hqTHjUCkUfHryOHPXriK9oqLD300pKWb26hWsPX8WrUrFK5Om\n8Nmcufg4Od0E5TJi8klT9One3qNwUkt7HMXJ6lMU6ovw1Hoyxmu02HLaxSqYSK9eAdiiT1JPNXYm\nXWqgBEFg+fLlBAYG4uTkxKRJkzh79uopoaqqKhYvXoybmxvu7u4sXryY6urqrpR4UwlxScBe5Uut\nMYNi3QGx5bSLg8qBaX62bd/NT0JS5uG+41GiYEveGQp10t7nJ/PrUSuV/GHUWNbetYBQVzdSy8u4\nY83XrDh9qs2HE4vVykdHjzD/29Xk1FQT6eXNxgX38sDQGMkXEsv8ei7UFLO/JAMHlYbFEaPEltMu\ngiCwpdAW+Z/pH4daqRZZUfvk1iWit5Tiqu2Dv+NEseXcVLrUQL377rt89tlnJCcnU15ezvjx44mL\ni6O+vr7N4++9915KSkrIzMwkIyODkpIS7r///q6UeFNRKbT0db8X6B5Lhmf4TUej0HCy+hT5ugKx\n5bRLiJMHM4MHYRasfJFxWGw5MjeJYQGBbFm0hHkDBmGwmFm+ZxePbP6eMl1DyzEFtbUs2rCW9w4f\nxGy18uDQGL6/ZzGRXj17yJ/MZZrrI+eHx+Bh5yiymva5UJdGVsMlnNXOTPaRtiERBCsXq78AbJ13\nComnGjubLv2//fe//80zzzzD4MGDcXBw4LXXXsNoNPLdd9/94ticnBwSExN577338Pb2xtvbm/fe\ne49NmzaRmyvtZbzXQ7jrXDRKVyr0J/9/9s47vqr6/v/PO3KTm733HoRAIIS9BNkhoCgoCChaV7Xf\nX+uoVlwFq1Kto9ra1larFQQUBwgSCEP2kpkwQgjZe+/c3Hl+f9xwMYyEkXBO4Dwfj/yhnJv7ysnN\nOa/z+bzfrzdVuqNiy+kQVztXxrT9AfeEVahH28a7fJt3hFq9tOf5yXQdzhoN70xK4qOp03Gzd2Bb\nXg7Jy5eyLS+HtZkZTF3xBQdLivFxdOKLGbN4dcw47NXSfqqX6ToKmmrYUHQStULJQ9EjxJbTKedW\nnyb5TcBeZS+ymo4pad5GkzEPR3UAwc6TxZZzw+k2A1VfX09eXh5Dh55fLlWr1SQmJnL06MXG4dix\nY9jb25OQcL7bICEhAY1Gw7Fjxy75HkajEZ1O1+5L6tgpnYhymwNgc+5SZmrAFJQo2V99gGp95zUm\nYtLbzZ/b/KLRmY0sz/lZbDkyN5jkmFhS5i1gRHAI1boWHlm7mqdTU2gyGJgUGcWG+Qu4LSxcbJky\nN5jPz+7DgsAdIf0JcHQTW06H5DcXcKLhJPZKeyb6jRdbTqecu4fFuC9Aqbj1ule7zUA1NDQA4O7u\n3u7/e3h42P7twuPd3C7+cLu7u1/yeIA333wTR0dH25eXl9f1C78BeNr3A6DJKP2VNS+NJ+4adyxY\nqNRXiS2nUxI8rem3+U01IiuREYMAFxeeGjYSe9X5FSZXe3ueGjYST620t25kuoeCZuu1oL9nkMhK\nOqdCXwGAn4MvTirpNzY0GwsB8Gi7p91qdJuBcnW1jj+4sAi8trbW9m8XHl9ff3Hxb11d3SWPB3j5\n5ZdpaWmxfVVfQReOFDjbNlg41GWayEo653DtEWoMNfjYexPjEi22nA7Rm018lWNNT78zVNoheTJd\nj9Fs5v19e5j3/Sr0ZhMqhQKlQkGDXs/Mr1fw6ZFDWCTe/SrT9dzRFpj5ZfYByf/++7nF46RyoqCl\nkMzGM2LL6ZQQF+vor+y2e9qtRrcZKDc3N8LDwzl48KDt/5lMJo4dO0Zi4sU5EQMGDECv15Oenm77\nf+np6RgMBgYMGHDJ97Czs0Or1bb7kjq1+lNU6PajVjgS6TpbbDkd0r4bJAmVQtrBcz8UpFGlb6K3\nmx+jfeVMn1uJvLpaZn/7FR8d3I8gCDw5eCgnf/MUx5/4LfP7JWCwmFmyewcL1nxLWZO0h3rLdC3T\nguMJ0LqS3VjFttJMseV0iIPKgUl+E4CeUXca43Y/CtQUNaXSbJR2o1F30K1F5L/5zW949913OXHi\nBDqdjkWLFmFnZ8fdd9990bFhYWEkJyfz3HPPUVVVRVVVFc899xx33HEHoaGh3SnzhnKm1tp9F+F6\nDxqVtIeUnmw4RV5LPq5qV27zGSW2nA4xCxZbBtSjvUbfUlkktzKCILDq5HGmr1xGWnkZAc4urJg5\nm+dH3oZGpUJrZ8fr4ybyyfS78HTQsrewgOQVS9lwVvpP9zJdg51Sxa9iRgLwnzO7JZ/BN9FvPBql\nhvT64xS0FIotp0Mc7QIJcU5CwExW3VKx5dxwutVAPffcczz00ENMnDgRLy8vdu3axcaNG3F2dqag\noABnZ2d27dplO37ZsmV4e3sTFRVFVFQUPj4+LF168/xSGg35FDdvRYkd0e7zxZbTKevbUsgn+09E\no5R28Fxq8SkKmmsJcfJgSmAfseXI3ADqWnX8X8o6Fm7dRIvRyPS2IvJhwSEXHTshMooN8x9kbFg4\nda2t1tdtSaXZYBBBucyNZlZYIu4aLem1xRysuvbxPzcCFzsXbvcZA5zvyJMyvTweAiCv8QdaTT2j\njKarUAhSt+NXgU6nw9HRkZaWFklu5x2p+BN5jasJd5nJQN9XxZbTIdlNOfzp1JtoVVreT/gLjmrp\nFuAKgsCsbf8ho76MxQOmMSdisNiSZLqZvYUFPLdpA2XNTTjbaXjt9gnc1Tuu05VHQRBYmn6UP+/e\nicFsJszNnQ+mJJPgH3CDlMuIxT9P7+DvGdsZ7RvFJ6PuF1tOh1Tra3g+fSEWwcLb/Zfg5+ArtqQO\n2Vf6DKUt24l1f4S+Xv9PbDmXpDv8wa2VeiUiOlMF+Y3rAAW93BeILadTUtr238f73i5p8wSwpyKb\njPoyvO2duCt0gNhyZLoRvcnEn3fv4P7V31DW3MSggEDWz1vA3XF9rmjbVqFQ8GDCQH64735ivbzJ\nr6/jnm9W8o+D+zFbLDfgJ5ARi3mRQ3FU2bG7IptTdaViy+kQL3tPRngNR0BgQ1mq2HI6JdbDOkA4\np+FrjJZLB2XfjMgG6gZxtu5LBEwEOU3EWRMmtpwOKdGVcrj2KHYKNZP9Jootp1M+aUsZXhA9vF37\nuszNxdmaamatWsEnRw6hUih4ethIVs6aQ8gl4k86I9bLmzVz5vPwgEGYBYH39u1h7verKL5MZIpM\nz8ddo2V2xCDg/DVDykwLSAJgd+Vu6gzSHk/l6dAfb4dBGC1N5NZ/K7acG4ZsoG4ABnM9uQ3fAef3\ni6VMSukGBARGe4/CXeMutpwOOVZTxM9VeTir7blP3rq7KREEgWXpx7hj5Zecqqok1NWNVffcx++G\njUCtvPZLmL1azStjbueLGbPwdXLiUEkxU1d8wQ+ZGV2oXkZKPBg9AjuFkk3Fp8hrkna9TqA2kIEe\niRgFE5vKN4stp1N6ta1CZdUvx2zRi6zmxiAbqBtATsMqTEILvtrheNhLu8C5Wl/D3ur9KFAwte0J\nSMp82jZhfV7kEFzsHERWI9PVVLW08Oi6NSzavhW92cSsuL78OG8BiQGBXfYet4WFkzJvAZMio2gy\nGHgmNYWnU9fToL81bgK3Ev5aV+4I7Y8Fgc+z9ootp1OmB1hzln6q2E6LSdrjqfy0I3HTxKI3V1HQ\n9KPYcm4IsoHqZkwWHWfrrCFjsR4Pi6ymc1LLNmEWzAz1HCL5wsWzDZVsLc1Eo1TxQNQwseXIdDHb\n8nKYuvwLtuXl4Gpvz0dTp/POpCScNV3fEeqpdeTjaTNYMn4SWrWatZmnmbZiKT8XF3X5e8mIy6Mx\no1AAqwvSqGiVdiZYlHMkcS690Zl1/FSxXWw5HaJQKGy1UGdqv0AQzCIr6n5kA9XN5DeuwWCpw8M+\nHm8HaW8xNRmb2F65E4BpAVNFVtM553KfZoYl4u3gLLIama6i1WRk8fatPLJ2NdW6FoYHhZAybwHJ\nMbHd+r4KhYL74vuzbu4DxPv6UdzYwLzvV/H+vj0YzTf/zeBWIcLFm0mBcRgtZpae3S+2nE6ZFmi9\nFm8q34zBIu3YjUCnCTipQ2g2FVLcvFVsOd2ObKC6EYtg5ExbuFgv919JPtxxc8VW9BY9/dziCXOS\ndnhpSUs9PxYeR4mCh9tC8mR6PhmVFcz4ajlL049hp1SycNQYvpx5L4EuNy50NtLDk2/vncuTg4ci\nCAIfHdzP7G+/Ireu9oZpkOleHu1lDQb+KvcQDYZWkdV0TLxrX8IcQ6k3NrCrUtrF70qFmpi2LvPM\n2s8kH1p6vcgGqhspakpFZyrDxS6CQKfbxZbTIXqzns1l1ieGc/vuUuZ/Z/diEiwkB8cT4uQhthyZ\n68QiCHx65BB3f72CrJpqIj08+G72PB4fNASlCA8eGpWK50fexoqZswlwdiGtvIw7Vi7j65PHb/qb\nwq1AP48ghvtE0GwysDL3YOcvEBGFQsH0QOs1eUPZRswS3xoLc7kDe5U39YZMKnT7xJbTrcgGqpsQ\nBAtnav8HQC/3h1AopH2qd1TupNncTLRzFLEuvcSW0yG1+ha+yTsCnH+SlOm5lDU18uCab1myewcG\ni5l5/RJYd591G01shgVbtw+nx8TSYjTy4tZN/CZlHbU6ndjSZK6Tx3uNBmDp2f20mo0iq+mYwR6D\n8LP3pVJfxc81h8SW0yEqpT0xbtZJG5lto8tuVqR9V+/BlLXsosGYjVblR4iLtOuJTBYTG8o2ATAt\nIFnyW41f5hyg1WxijF8MsW7i32Rlrp3U7CySVyxlT2EBng5aPpl+F2+Mm4jWzk5saTbcHBz4MGka\n702airOd5heapT0SRKZjhvtEEO8eSI2hhe/zj4ktp0OUCiXJbV3R60tSJL8KGuF2D3ZKZ6paD1HT\nmi62nG5DNlDdgCAIZNZ+BkCM+wMoFdK5GVyKfdX7qTHUEKgNZIB7f7HldEizUc/y7J8BeExefeqx\nNBsMvLh1E0+uX0tdaytjw8LZMP9BJkRGiS3tkigUCu6O68P6eQsYFBBIeXMTD6z+liW7tqM3mcSW\nJ3MNKBQK2zXks6y9mCSeRD/KeyTudm4U6opIrz8utpwOsVM6E+E6G7i5V6FkA9UNVLceoUafjkbp\nRrjr3WLL6RCLYGF96UbA2nmnlPhW4zd5R6g3tjLQM4TB3tJOdJe5NGnlZUxvqyfSqFQsGjuOz+6c\niY+Tk9jSOiXEzY2Vs+bwzPCRqBQKPj16mJmrVpBVLe1QRplLMyGwN+HOXhS31LGh+ITYcjrETmnH\nFP/JAPxYKv0hw9Fu81Aq7Clt2U6DIVtsOd2CtO+WPZTMOqvjjnKbi1op7TlyR+uOUdpaipfGk+Ge\nQ8WW0yEGs4nPz1qLEh9tq1+Q6TmYLRb+cfAA936zkvz6OmK9vPnhvvt5MGGg5LeNf4laqeS3Q0ew\n6p77CHV1I6Oqkju/+pJl6cckv7Ui0x6VQsmjMdZVqE/O7JH872+c71gcVY6cacziTGOW2HI6xEHt\nRbjLDADO1H0hspruQTZQXUydPpPylj2oFA5Eus0RW06HCILAjyXWJ5mp/kmoldKeI7eu8DgVrY3E\nuPoy1j9GbDkyV0FxgzVT6b19uzFZLDw8YBBr5swn1stbbGnXTGJAID/OW8CsuL7ozSYWbd/Ko+vW\nUNnSLLY0mavgjpB++Dm4kNVQwY5yaZsSrUrLBL9xAKxvG/guZWLcF6BARWHjBlqM0h7gfC3IBqqL\nOdO2+hThOgt7lbu4YjrhdGMmOc25uKidGeMj7RUds2CxBWc+GjNKlNZ2mWtjbWYGySuWcrCkGF8n\nJ76YMYtXxtyOvVrahv1KcNZoeGdSEh9NnY6bvQPb8nJIXr6UbXk5YkuTuUI0KjUPRY8A4JPM3SKr\n6ZzJfhOxU9hxrC6NohZpJ+U72QUR7DwZARNZ9cvEltPlyAaqC2kyFlLUtBkFaqLd7xdbTqecW32a\n5DcRe5W9yGo6ZmvJaXKbqglydCc5OF5sOTJXQINe3zZXLoVGg55JkVGkzFvAbWHhYkvrcpJjYkmZ\nt4ARwSFU61p4ZO1qFm3fSqtJ2u3xMlbuDR+Im50DR2oKOVxVILacDnG1c2Wsz21Az1iF6uX+EAB5\nDavRm2+uMFrZQHUhWXVLAQuhLtNwVPuLLadD8przOdFwEgelPRP9xostp0MEQeCTM9bVp1/FjECt\nlD+2UudgSRHTVizlh8wMtGo1S8ZP4uNpM/DUSrsm8HoIcHFh2d33snDUGOyUSpalH+POlV9yqrJC\nbGkyneBkZ8/8KGsN6CdnpL8KlRQwBSVK9lf/TKW+Smw5HeJm3wt/x9swC61k138ltpwuRb4TdRGt\npiryG9cCCluUvZQ59+Ryu+9YnNTS7n7aX5nLiboSPDWOzAxNFFuOTAcYzWbe37eHud+torixgXhf\nP9bNfYD74vv3qELxa0WpUPD4oCF8N3sekR4enK2tYebXK/j0yCEsEi9QvtW5P3IYDio1O8qzyKwv\nF1tOh/jYezPcaygWLGwsTRVbTqf0crcOGc6u/wqTpUVkNV2HbKC6iLP1y7EIBgKdxuGqiRRbToeU\ntZZzsOYQKoXK1hYrZc6tPj0QPQytWtqZWrcyeXW1zP72Kz46uB9BEHhy8FC+vXcukR6eYku74cT7\n+rHuvgeY3y8Bg8XMkt07WLDmW8qaGsWWJnMZPOwduTd8IACfnpH2zDk4P/B9R+UuGowNIqvpGG9t\nIl4OAzBaGsht+E5sOV2GbKC6AKO5kZyGb4Hz+71SJqV0IwICo7xH4qmR9hy5E7Ul7KvMwUmtYV6E\ntGMWblUEQeCbUyeYvnIZaeVlBDi7sGLmbJ4feRsalUpseaKhtbPj9XET+WT6XXg6aNlbWEDyiqVs\nPCvtTq9bmQejR6BWKEkpOkFhs7TrdYIdgxngnoBRMLKpfIvYcjrl3CpUVt0yzIJBZDVdg2yguoCc\nhm8wWZrwcRiCp0M/seV0SK2hlj1Ve1GgINk/SWw5nXKuHmFOxGBcNQ4iq5G5kLpWHf+Xso4XtqTS\nYjQyva2YelhwiNjSJMOEyCg2zH+QsWHh1LW28puUtSzckkqz4ea4idxMBDm6My24HxYEPs/aK7ac\nTjk3+H1r+TZ0ZmnPZ/R3HI2rJppWcyWFjdIPAr0SZAN1nZgtrZytXwFAL4+HRVbTOZvKtmASTAz2\nGEiAVtqF7rmNVWwuycBOqeLBqOFiy5G5gL2FBSQvX8rG7Cyc7TS8N2kqHyZNw81BNroX4uPkxGd3\nzmTR2HFoVCpWnVuxK7v5snF6OucGlH+ff4yq1iaR1XRMjEs0vVxiaDG3sK1ih9hyOkShUNpWoc7U\nfYEgmEVWdP3IBuo6yW9ci95cjbsmDl/tMLHldEizqZmfKrYB1qHBUue/WXsRgLtCE/DVuogtR6YN\nvcnEn3fv4P7V31DW3MSggEDWz1vA3XF9bolC8WtFoVDwYMJAfrjvfmK9vMmvr+Oeb1byj4P7MUt8\nDtutRLSrDxMCYtFbTCzLPiC2nE45twqVWrYJo0XasRnBzpNxVAfSZMyjpHmb2HKuG9lAXQcWwcSZ\nuqUA9PL4leRvHlsrttFq0dPXtQ8RzuFiy+mQMl0DawvSUKLg4ZiRYsuRaeNsTTWzVq3gkyOHUCkU\nPD1sJCtnzSHEzU1saT2GWC9v1syZz8MDBmEWBN7bt4e536+iuEHahcC3EudGRa3IOUijsVVkNR3T\n360fIdpg6oz17KmS9rajUqG2daln1n0u+dE5nSEbqOuguGkzLaZinO1CCXKSdpaS3qxnU5m10PBc\n94aU+eLsPoyChclBfQh39hJbzi2PIAgsSz/GHSu/5FRVJaGubqy65z5+N0zO5boW7NVqXhlzO1/M\nmIWvkxOHSoqZuuILfsjMEFuaDDDAM5gh3mE0mfR8nXtYbDkdolAomBZoXYVKKd2IRZD2amaYy53Y\nKz2o05+iUvez2HKuC/nKd40IgmAb2xLj/iAKhbS7jXZV7aHR1EiEUwR9XOPEltMhdQYdq9ouWufq\nEWTEo6qlhUfXrWHR9q3ozSZmxfXlx3kLSAwIFFtaj+e2sHBS5i1gcmQ0TQZDW3L7ehr0erGl3fI8\n3rYK9cXZ/ejNJpHVdMxQz8H42HtTrq/gUK20DZ9aqSXKfT5wfvRZT0U2UNdIectu6g1ZOKi8CXWZ\nLracDjFZTGwo3QjA9ICpkt9qXJHzMy1mI6N8o+jrHiC2nFua7Xm5TF3+BdvycnC1t+ejqdN5Z1IS\nzhqN2NJuGjy1jvxr2p0sGT8JrVrN2szTTFuxlIMl0p5zdrMzyjeKODd/qvRNrCk4JracDlEpVExt\n66r+sWSD5LfGIl1no1Y4UaE7QG3rSbHlXDOygbpGMtucc7T7A6gU0r6ZHKg5SJWhmgAHfwZ6SDvJ\nu8VksBVuPiavPolGq8nI4u1beXjt91TrWhgeFELKvAUkx8SKLe2mRKFQcF98f9bNfYB4Xz+KGxuY\n+90q3t+3B6O553cr9UQUCoVtBfy/WXsxSbzQ/zafUbiqXclvyedkwymx5XSIRuVChNs9wPl7aU9E\nNlDXQLXuGNWtR7FTuhDhOktsOR1iESysL7VmbiQHJKFUSPtX/l3+UeoMOvp7BDHUO1xsObckGZUV\nzPhqOUvTj2GnVLJw1Bi+nHkvgS6uYku76Yn08OTbe+fy5OChCILARwf3M/vbr8itk3ao483K5MA+\nhDp5UNhcy6YSiZsSpYYp/pOA84PipUy02zyU2FHS/BONhjyx5VwT0r6bSpRzjjnSbQ52SmnPkUuv\nO06xrgQPOw9Geo0QW06HGC1mW3jdY71GS36r8WbDIgh8euQQd3+9gqyaaiI9PPhu9jweHzQEpfy7\nuGFoVCqeH3kbK2bOJsDZhbTyMu5YuYyvTx6X/NbMzYZaqeSRGOsq1Kdn9kj+/I/3vR2tSktG42my\nm3LEltMhWrUvoa53AgJn6r4QW841IRuoq6Ref5aylp2oFA5Eu80VW06HCILAurbVp6SAyaiVapEV\ndcz6ohOU6hqIdPZmfIC8VXQjKW9q4sE137Jk9w4MFjPz+yWw7j7rdpKMOAwLDmHD/AVMj4mlxWjk\nxa2b+E3KOmp10k6cvtmYEZqAt70zGfVl7K7IFltOhziqHRnveztwfmC8lOnlvgBQUtD4Iy0maQ9w\nvhSygbpKztT9D4AwlxnYq6Q9JPVMUxZnm87ipHLkdp8xYsvpEIsg2AZ4PtprlLzicQNJzc5i6oov\n2FNYgKeDlk+m38Xr4yaitZMHN4uNq70DHyZN471JU3G205CanUXyiqXsKcwXW9otg71KzYPR1kkI\n50ZLSZnJfpOwU6g5XHuEEl2J2HI6xBoBNBEBE2frvhRbzlUjG6iroNlYQlHTRhSobGFgUmZ92z74\nRL8JOKikPV5jW2km2Y2VBGhdmRYi7XmCNwvNBgMvbt3Ek+vXUtfaytiwcDbMf5AJkVFiS5P5BQqF\ngrvj+rB+3gIGBQRS3tzEA6u/Zcmu7ehN0m6vv1m4L2IwLnb2HKzK52h1odhyOsRd48ZoH2sEw/q2\n7mspE+thHe+S2/AdBnO9yGquDtlAXQVZdUsRMBPinISTnbQzcApaCkmrP45GqWGS3wSx5XSIIAj8\np+3J7qHoEWiU0s7UuhlIKy9jeltdjUalYtHYcXx250x8nKRd03crE+LmxspZc3hm+EhUCgWfHj3M\nzFUryKquFlvaTY+znT3zIoYA8N+sPSKr6Zyp/lNQoGBf9X6q9TViy+kQd/ve+GpHYhZ0ZNd/Lbac\nq0I2UFdIq6mGvMY1AMS4PySqlithfYl1//t2nzG42El7jtzB6nzSa4txs9NyT/hAseXc1JgtFv5x\n8AD3frOS/Po6Yr28+eG++3kwYaBctN8DUCuV/HboCFbdcx+hrm5kVFVy51dfsiz9mOQLnHs690cN\nw16pZmtpJlkNFWLL6RA/B1+Geg7BLJjZWLZJbDmdcm4VKrt+JSZLz6nxkw3UFZJdvxKLoMffcQxu\n9tFiy+mQitZKDtT8jEqhIsl/sthyOuVc7dMDUUNxVEs7U6snU9zQwLzvV/Hevt2YLBYeHjCINXPm\nE+vlLbY0maskMSCQH+ctYFZcX/RmE4u2b+XRdWuobGkWW9pNi7eDMzPDBgDw3zPSnjkH50d2ba/c\nQZOxSWQ1HePtMAgP+34YLHXkNawWW84VIxuoK8BoaSKnwbq0eM4pS5kNZRsREBjhNQwve2nPkTtV\nV8qu8rM4quyYFzlUbDk3LWszM0hesZSDJcX4OjnxxYxZvDLmduzV0u7MlLk8zhoN70xK4qOp03Gz\nd2BbXg7Jy5eyLU/a7es9mYdjrNun64uOU9xSJ7acDglzCqW/Wz8MFgOby7eKLadDFAqF7d6aVb8M\ni2AUWdGV0W0G6ttvv6V3795otVri4uL4/vvvOzx+8eLFqFQqnJ2dbV9z50ojJiC34XuMlka8HBLx\nchggtpwOqTfWs6vSWk+U3AOGBp9bfbo3fBAe9o4iq7n5aNDreTY1hadTU2g06JkUGUXKvAXcFhYu\ntjSZLiI5JpaUeQsYERxCta6FR9auZtH2rbSaesZNqCcR7OTB1KB4TIKFL87uE1tOp5xbhdpcvpVW\nc6vIajomwHEsLnYR6ExlFDZJv/gduslAHThwgPvvv58333yThoYG3njjDebPn8+hQ4c6fN2IESNo\namqyfa1cubI75F0VZsHA2bplAMS6Pyyyms5JLduCUTAx0CORIK20C93zm2pILT6FnULJQzHSDvns\niRwsKWLaiqWsycxAq1azZPwkPp42A0+tbFRvNgJcXFh2970sHDUGO6WSZenHmPHVck5VSrtWpydy\nbsTUN3lHqNFLe8s01qUX0c5RNJub2VG5S2w5HaJQKOnVVl98pvZzBEHao3OgmwzUxx9/zNSpU5k1\naxZ2dnbMmjWLpKQk/vWvf3Xp+xiNRnQ6Xbuvrqag8UdazVW4aWLwc5T2bLYWUws/VWwDzj95SJnP\ns/ZiQeCOkP74a+UxIV2F0Wzm/X17mPvdKoobG4j39WPd3Ae4L76/XCh+E6NUKHh80BC+mz2PSA8P\nsmqqmfn1Cj49cgiLXGDeZfRy82OsXwytZhNfZv8stpwOUSgUTAtIBmBjWSomi7RjL0JcpqJV+9No\nzKW0ZYfYcjqlWwzUsWPHGDq0fT3LkCFDOHr0aIevO3r0KD4+PoSFhTFv3jxyc3M7PP7NN9/E0dHR\n9uXl1bX1PoJgtgVn9nL/leRvPtsqtqMz6+jtEku0s7SzfCpaG/m+4BgK4BF5aHCXkVdXy+xvv+Kj\ng/sRBIEnBw/l23vnEukh7dBXma4j3tePdfc9wPx+CRgsZpbs3sGCNd9S1tQotrSbhsd6WXOWVuT8\nTLNRL7Kajhng3p8gbSA1hlr2Vu8XW06HKBV2xLg9AEBm7eeS7yy9KgP10EMPoVAoLvt1++23A9DQ\n0IC7u3u713p4eNDQ0HDZ733PPfdw6tQpKioq2Lt3LwqFgokTJ9LUdPnugZdffpmWlhbbV3UX56EU\nN/9Es7EQJ3UwQc6TuvR7dzUGi5HU8s0ATG974pAyS8/ux2gxMzEwjkgXuQvsehEEgW9OnWD6ymWk\nlZcR4OzCipmzeX7kbWhUcq7WrYbWzo7Xx03kk+l34emgZW9hAckrlrLxbJbY0m4KBnmHMtAzhHpj\nK9/kHRFbTocoFUrbjkRK6QYsEt8aC3e9G43SnVr9capaD4stp0OuykB99NFHVFZWXvbrhx9+AMDV\n1ZW6urp2r62trcXV9fLbNPHx8YSFhaFQKAgKCuKzzz6juLiYvXsv3y5qZ2eHVqtt99VVCIJAZu1n\nAMS4L0CpkHa30u6qPdQbGwhzDCXera/YcjqkwdDKV7nWerhHY+TVp+ulrlXH/6Ws44UtqbQYjUxv\nKyoeFhwitjQZkZkQGcWG+Q8yNiycutZWfpOyloVbUmk2GMSW1uN5LNa6CvX52X0YzNLeGhvmORQv\njSelrWUcqT0mtpwOUSu1RLndB1hXoaTMVRkoZ2dnvL29L/vl5uYGwIABAzh48GC71x46dIjExMQr\nfq9zq1piLeFV6PZTbziNvcqLMJc7RdFwpZgFMyltkf3TApIlv9X4Ve5Bmk0GhvtE0N8zSGw5PZq9\nhQUkL1/KxuwsnO00vDdpKh8mTcPNQdqje2RuHD5OTnx250wWjR2HRqVi1bmVyrJSsaX1aMb6xRDj\n6ktFayNrC9PFltMhaqWaqf5JAKwvTZH81lik2xxUCi0Vur3U6U+LLeeydEsN1K9//WtSUlJYvXo1\nRqOR1atXs2HDBp544onLvmbVqlVUVVUBUF5ezqOPPoqfnx8jR47sDomdcqbN+Ua7zUOltBdFw5Vy\nsOYQlfpKfO19GeI5SGw5HdJqNrI0+wBwvo5A5urRm0y8tXsHD6z+hrLmJgYFBLJ+3gLujusjeQMt\nc+NRKBQ8mDCQH+67n1gvb/Lr67jnm5X84+B+zBZpb+lIFYVCYevI+2/WXswS3xob4zMaF7UzOc25\nnG7MFFtOh9ir3IlwnQnAmTrprkJ1i4EaPnw4y5Yt48UXX8TFxYUXX3yRL7/8kiFDhtiO6du3L0uW\nLLH995dffklcXByOjo4MHDgQo9HIli1bcHG58WNIalqPU9l6ELXSmUjXe2/4+18NgiCwvtQ6tiU5\nIAmlQtrZqN/nH6Na30xf9wBG+ESILadHcrammlmrVvCfI4dQKhQ8PWwkK2fNIaRtBVhG5nLEenmz\nZs58Hh4wCLMg8N6+Pcz7fhXFHdSnylyeqUHxBDm6k9dUzdYS6a6UANir7JnkNxGAdSXrRVbTOdHu\nD6BATVHTFpqMBWLLuSQKQepreVeBTqfD0dGRlpaW66qH2lf2LKXN2+jl/ivivX7XhQq7nrS647x/\n5gPc7dx4N+Ft7JR2Yku6LCaLhaTNf6e4pY4Pht7LlKA+YkvqUQiCwJfH01iyawd6s4lQVzf+OiWZ\nxABp533JSJNd+Xk8v2UjFc3NOGs0vD5uIjNi48SW1eNYkXOQ19NS6OsewDe3PybpFeBmUzPPHnue\nVouexX1fJcIpXGxJHXK4YjH5jT8Q4TqLRJ9Xrut7dZU/+CXSXq4QgQZDDqXN21AqNES7zRNbTqes\nL00BYIr/ZEmbJ4CNxScpbqkj3NmLiYG9xZbTo6hqaeHRdWtYtH0rerOJWXF9+XHeAtk8yVwzt4WF\nkzJvAZMjo2kyGHgmNYWnU9fToJd2W77UmBk2AE+NIyfrStlX2XH0jtg4qZ243XcsgG3nQsr0cn8Q\nUJDfsBadqVJsORchG6gLOFP3BQBhLnfioJZ2e31W41kyG8/gqNIyru2PQqoIgsAnZ6wjZh6JGYlK\n4luNUmJ7Xi5Tl3/BtrwcXO3t+WjqdN6ZlISzRh68LHN9eGod+de0O1kyfhJatZq1maeZtmIpB0uK\nxJbWY3BQ2bEgejiA7RonZZL8J6NWqDlUc5iy1nKx5XSIiyaCQKdxWDCSXb9CbDkXId/FfkGLqYzC\nxhRASYz7ArHldMq5J4gJvuPRqrouwqE72FGexZmGCnwdXLgzpL/YcnoErSYji7dv5eG131Ota2F4\nUAgp8xaQHBMrtjSZmwiFQsF98f1ZN/cB4n39KG5sYO53q3h/3x6MZrPY8noEcyOG4KTWsL8yl+O1\nxWLL6RAPjQejvEcgIJDSI1ahrCPUcuq/wWCWVhisbKB+QVbdMgRMBDtPxtlO2hk6RS3FHK07hp3C\njsn+E8WW0ynnhgY/FD0cjUramVpSIKOyghlfLWdp+jHslEoWjhrDlzPvJdBFHnkj0z1Eenjy7b1z\neXLwUARB4KOD+5n97Vfk1tWKLU3yuGocuC9iMHD+Widlkv2TUKBgd9VeagzS/v16OvTFRzsUk9BM\nbsMqseW0QzZQbejNteQ1fA9gG2goZc6tPo3xuQ1XO2nfVA9XFXC4ugA3Owdmh0s7ZkFsLILAp0cO\ncffXK8iqqSbSw4PvZs/j8UFDUEq4OFXm5kCjUvH8yNtYMXM2Ac4upJWXccfKZXx98rjks4PEZkH0\ncOyUKjaXZJDTWCW2nA7x1/oz2GMgZsHMprLNYsvplFj3XwFwtn4FZkuryGrOIxuoNrLrv8YstOLn\nOAp3e2lvkVTpq9hffQAlSqYGTBZbTqd8mmV9IpsXORQnO2lnaolJeVMTD675liW7d2CwmJnfL4F1\n91m3VWRkbiTDgkPYMH8B02NiaTEaeXHrJn6Tso7abhjYfrPg6+DC3aEJCMB/s6S/CjUt0Drya1vF\ndppNzSKr6Rgf7TDc7ePQm2vIa1wrthwbsoECTJYWcuq/As47XSmzsWwTFiwM8xqKj72P2HI65Ex9\nOdvLzuCgUnN/1NDOX3CLkpqdxdQVX7CnsABPBy2fTL+L18dNRGsn7c5KmZsXV3sHPkyaxnuTpuJs\npyE1O4vkFUvZU5gvtjTJ8nDMKJQoWFeQTplO2tlaEU7h9HXtQ6tFz5byn8SW0yEKhcJ2b86q+wKL\nII3RObKBAnIbvsdgqcfTvj9eDgPFltMhDcZGdlTuArANiJQy51af7gkbiKe9k8hqpEezwcCLWzfx\n5Pq11LW2MjYsnA3zH2RCZJTY0mRkUCgU3B3Xh/XzFjAoIJDy5iYeWP0tS3ZtR2+Sxk1MSoQ5ezI5\nqA9GwcIXZ/eJLadTpretQm0u34LeLO34ikCn8TjbhdFiKqG4SRrbjre8gbIIRrLqlgEQ6/GwpEPQ\nwPpBN1gMDHBPIMQxWGw5HVLUXEtK0QnUCiUPxYwQW47kSCsv446vvuTrk8fRqFQsGjuOz+6ciY+T\nbDRlpEWImxsrZ83hmeEjUSkUfHr0MDNXrSCrulpsaZLj3HiXVbmHqdW3iKymY+JcehPhFEGjqYmd\nVdKOYFAoVG25UJBZ97kkavJueQNV0JhCq7kCV7so/B1vE1tOh+jMOttSa09Yffr87D7MgsC04H4E\nObqLLUcymC0W/nHwAPd+s5K8ulpivbz54b77eTBhoOQNvMyti1qp5LdDR7DqnvsIdXUjo6qSO7/6\nkmXpxyRxM5MKfdwDGO0bRYvZyIrcg2LL6RCFQsH0AOsq1MbSVEwWaa8qhrhMw0HlQ4Mhi7IW8Q3f\nLW2gBMHCmbr/AdDL4yEUEg933F6xkxZzC72cY+jlEiO2nA6p1jfzXd5RAB7pJc5AaClS3NDAvO9X\n8d6+3ZgsFh4eMIg1c+YT6yXt0FYZmXMkBgTy47wFzIrri95sYtH2rTy6bg2VLdIuRL6RnBuU/mX2\nAVpMBpHVdMxAjwEEOPhTZajmQI20DZ9KoSHG/X5AGkOGpe0YupmS5m00GfNwVAcQ7DxFbDkdYrQY\n2Vi2CYBpgdJffVp2dj96i4nx/rHEuPqKLUcSrM3MIHnFUg6WFOPr5MQXM2bxypjbsVfLuVgyPQtn\njYZ3JiXx0dTpuNk7sC0vh+TlS9mWlyO2NEkwxDuM/h5B1Bl0fJd/VGw5HaJUKElu29FYX5qCRbCI\nrKhjwl1nYad0pbr1KFU6cc/tLWugBEGwOdgY9wUoFdLudtpTtY86Yx3B2mAS3KSd5N1k1NuWrh9t\nqwe4lWnQ63k2NYWnU1NoNOiZFBlFyrwF3BYWLrY0GZnrIjkmlpR5CxgRHEK1roVH1q5m0fattJqM\nYksTFYVCweNtq1CfZ+3FYJF2ovtIr+F4ajwo1pWQVpcutpwOsVM6EeU2BxB/FeqWNVCVuoPU6k+i\nUboT5jJDbDkdYhEspJRuBGB6wFTJ18l8nXuIRqOeId5hJHpJO9G9uzlYUsS0FUtZk5mBVq1myfhJ\nfDxtBp5aR7Glych0CQEuLiy7+14WjhqDnVLJsvRjzPhqOacqK8SWJirjAmKJcvGmVNdASuFxseV0\niFqpJsnfugvzY2mK5GvaotzuQ6VwoKxlF/X6M6LpuGUN1DnnGu0+D7VS2nPkDtceoVxfjrfGm6Fe\nQ8SW0yF6s4n/nd0PnK8DuBUxms28v28Pc79bRXFjA/G+fqyb+wD3xfeXvAGWkblalAoFjw8awnez\n5xHp4UFWTTUzv17Bp0cOYZH4zbi7UCoUPBpjXYH/NGuP5M/DWJ/bcFI5cbYpmzNNWWLL6RB7lSfh\nrncBcKbuC9F03JIGqlZ/igrdftQKRyJd54gtp0MEQeDHkhQAkgOmoFKoRFbUMT8UpFGlb6K3mx+j\nfW/NLKO8ulpmf/sVHx3cjyAIPDl4KN/eO5dID0+xpcnIdCvxvn6su+8B5vdLwGAxs2T3Dhas+Zay\nJmkNgb1RJIf0I0DrSnZjFdtKM8WW0yEOKgcm+U0AsN1zpEyM2wMoUFPUlEqzUZwBzrekgTpTa119\ninC9B41K2nPkTjacIq8lH1e1K7f5SHtFxyxYbCMMHu01+pZbaREEgW9OnWD6ymWklZcR4OzCipmz\neX7kbWhU0ja+MjJdhdbOjtfHTeST6Xfh6aBlb2EBySuWsvGstFc1ugONUsWvYqxdyP85s1vyW2OT\n/CagUWpIrz9OQUuh2HI6xNEukBDnJATMZNUtFUXDLWegGg35FDdvRYkd0e7zxZbTKetLrU8Ck/0n\nolFqRFbTMZuKMyhoriXUyYMpgX3ElnNDqWvV8X8p63hhSyotRiPT24prhwXf2jVgMrcuEyKj2DD/\nQcaGhVPX2spvUtaycEsqzQZpt/V3NbPCEnHXaEmvLeZglbTH4DjbOXO7z1gA1pdsEFlN5/TyeAiA\nvMYfaDXd+FDXW85AZdV9AQiEukxHq5Z2e312Uw6nGk7joHRgvO84seV0iCAIfHLGGmz2cMxI1Mpb\n56O1t7CA5OVL2ZidhbOdhvcmTeXDpGm4OTiILU1GRlR8nJz47M6ZLBo7Do1KxapzK7RlpWJLu2E4\nqjXcHzUMwHaNlDJJ/pNRKVQcqPmZitZKseV0iKsmigDHsVgEPdn1K2/4+986dzlAZ6ogv3EdoCCm\nLRJeyqSUWp8AxvvdjpNa2l1beyqyyagvw9veibtCB4gt54agN5l4a/cOHlj9DWXNTQwKCGT9vAXc\nHdfnltu+lJG5HAqFggcTBvLDfffT29uH/Po67vlmJf84uB+zRdqZQ13F/MihOKrs2F2Rzak6aZtH\nL3tPRngNR0AgpWyj2HI6pZeHdchwTsPXGC1NN/S9bykDdbbuSwRMBDlNxEUTJracDinRlXK49ih2\nCjVT/CaJLadTPjljrX1aED0ce9XNHwx5tqaaWatW8J8jh1AqFDwzfCQrZ80hxM1NbGkyMpIk1sub\n1bPn8fCAQZgFgff27WHe96sobmgQW1q3467RMjtiEHD+WillpgUkoUDB7srd1BnqxZbTIV4OCXg7\nDMJoaSK3/tsb+t63jIEymOvJbfgOOL9vKmVSSjcgIDDaexTuGnex5XTIsZoifq7Kw8XOnrkR0o5Z\nuF4EQWBZ+jHuWPklp6oqCXV1Y9U99/HboSNuqW1LGZlrwV6t5pUxt/PFjFn4OjlxsKSYqSu+4IfM\nDLGldTsPRo/ATqFkU/Ep8pqkPYQ5UBvIQI9EjIKJTeVbxJbTKedWobLql2O26G/Y+94yV/ychlWY\nhBZ8tcPxsJd2gXO1voa91ftRoGBqgLRHzAB82vZENTdiCM529iKr6T6qWlp4dN0aFm3fit5sYlZc\nX36ct4DEgECxpcnI9ChuCwsnZd4CJkdG02Qw8ExqCk+nrqdBf+Nufjcaf60rd4T2x4LA51l7xZbT\nKecG1v9UsY0WU4vIajrGTzsSN00v9OYqCpp+vGHve0sYKJNFx9m6FQD0cv+VyGo6J7VsE2bBzFDP\nwfg5+Iktp0PONlSytfQ0GqWKB9oKJW9GtuflMnX5F2zLy8HV3p6Ppk7nnUlJOGuk3RkpIyNVPLWO\n/GvanSwZPwmtWs3azNNMW7GUgyVFYkvrNh6JGYUCWF2QRkWrtLOxopwjiXPpjc6s46eK7WLL6RCF\nQmG7t5+p/QJBuDGjc24JA5XfuAaDpQ4P+774aKW9xdRkbGJ75U7g/BOAlDmX+zQzLBFvB2eR1XQ9\nrSYji7dv5eG131Ota2F4UAgp8xaQHBMrtjQZmR6PQqHgvvj+rJv7APG+fhQ3NjD3u1W8v28PRrO0\n58ddC5Eu3kwMjMNoMfNF28QGKXNucP2m8s0YLNKOnwhynoiTOphmUyHFzTdm2/GmN1AWwciZtpCt\nXu4PS747anPFVvQWPf3c4glzknihe0s9PxYeR6VQ8EhbWNzNREZlBTO+Ws7S9GPYKZUsHDWGL2fe\nS6CLtMNXZWR6GpEennx771yeHDwUQRD46OB+Zn/7Fbl1tWJL63Ieaxuw/lXuIeoNOpHVdEy8a1/C\nHMOoNzawu0ra245KhdrWXZ9Z+/kNCS296Q1UUVMqOlMZznbhBDrdLracDtGb9Wwu2wrA9IBkkdV0\nzv/O7sMkWJgaFE+wk4fYcroMiyDw6ZFD3P31CrJqqon08OC72fN4fNAQlBI34DIyPRWNSsXzI29j\nxczZBDi7kFZexh0rl7Hq5HHJJ3hfDf08ghjuE0GLycBXuYfEltMhCoWC6W2rUCmlGzHfoK2xayXM\n5Q7sVV7UGzKp0O3r9ve7qQ2UIFg4U/s/AHq5P4RCIe0fd0flTprNzUQ5RRLr0ktsOR1Sq2/h27wj\nADza9kR1M1De1MSDa75lye4dGCxm5vdLYN191u0FGRmZ7mdYcAgb5i9gekwsLUYjC7du4v9S1lGr\nk/ZqzdVwbtD60rP7aTUbRVbTMYM9BuFn70ulvpKDNdI2fCqlPdFu1gkjmW0j27oTaTuK66S0ZScN\nxmy0Kj9CXaS9omOymNhQlgrA9MBkyW81fplzAJ3ZyBi/GGLdbg5zkZqdxdQVX7CnsABPBy2fTL+L\n18dNRGtnJ7Y0GZlbCld7Bz5MmsZ7k6bibKdhY3YWySuWsqdQ2qNQrpQRPhH0dQ+gxtDCd/lHxZbT\nIUqFkuSAJADWl26Q/GpgpOs9qJXOVLUeoqY1vVvf66Y1UIIgcKb2MwBi3B9AqZD2TXBf9X5qDLUE\nagMZ4J4gtpwOaTYZWJ79MwCP95L2gOMrodlg4MWtm3hy/VrqWlsZGxbOhvkPMiEySmxpMjK3LAqF\ngrvj+rB+3gIGBQRS3tzEA6u/Zcmu7ehNJrHlXRcKhcJ27fwsay9Gi7S3xkZ5j8Tdzo2ClkLS60+I\nLadD7FQuRLrOBrp/FeqmNVDVrUeo0R9Ho3Qj3PVuseV0iEWwsL7UGpk/LWAqSolvNX6Td5h6YysD\nPUMY5B0qtpzrIq28jDu++pKvTx5Ho1KxaOw4PrtzJj5OTmJLk5GRAULc3Fg5aw7PDB+JSqHg06OH\nmblqBVnV0g6j7IwJgb0Jd/aipKWejcUnxZbTIXZKO6b4TwbOD7iXMtFu81AqNJS2bKfBkN1t7yPt\nO/V1kFlndZ6RbvehVkp7jtzRumOUtpbiqfFkuOdQseV0iMFi5n9Z1uK8R3vw6pPZYuEfBw9w7zcr\nyaurJdbLmx/uu58HEwZKfvtURuZWQ61U8tuhI1h1z32EurqRUVXJnV99ybL0Y5LfUrocKoXS1r38\nyZk9kv85xvmOxVHlSGbjGbIaz4otp0Mc1F6EucwA4EzdF932PjelgarTn6G8ZQ8qhQNRbveJLadD\nBEHgxxKro5/qPwW1Utpz5NYVpFPe2kiMqy9j/WPElnNNFDc0MO/7Vby3bzcmi4WHBwxizZz5xHp5\niy1NRkamAxIDAvlx3gJmxfVFbzaxaPtWHl23hsqWZrGlXRN3hvTH18GFrIYKtpdliS2nQ7QqLRP8\nxgHwYw9YherlvgBQUti4gRZj9wxwvikNVFZb7lOE6yzsVe7iiumE042Z5DTn4qJ2ZqzPbWLL6RCz\nYLEFZz7Wa1SPbOlfm5lB8oqlHCwpxtfJiS9mzOKVMbdjr5a2cZWRkbHirNHwzqQkPpo6HTd7B7bl\n5ZC8fCnb8nLElnbVaFRqfhU9AoBPz+wWWU3nTPabhEap4VhdGkUt0k6Md7ILJsR5CgImsuqXdct7\n3JQGqrj5JxSoiXa/X2wpnXJu9WmS30TsVdKeI7e1JJPcpmqCHN2ZGhQvtpyrokGv59nUFJ5OTaHR\noGdyZDQp8xZwW1i42NJkZGSugeSYWFLmLWBEcAjVuhYeWbuaRdu30mqSdizAhdwbPhA3OweO1BRy\nuKpAbDkd4mrnwhhva+nGubpdKdPL/SEA8hpWozd3fSjrTWmgwEKISzKOan+xhXRIXnM+JxpOYq+0\nty2NShVBEPg0y/qE9KuYEaiVPeejc7CkiGkrlrImMwOtWs2S8ZP417Q78dRKuzZORkamYwJcXFh2\n970sHDUGO6WSZenHmPHVck5VVogt7YpxsrNnXqS19vWTHrAKlRQwBSVK9lcfoEpfJbacDnGz74Wf\n42jMQis59d90+ffvlrtgWloaU6dOxd/fH4VCwZYtnc+lEQSBRYsWERgYiJOTE2PGjOHEiWttl1TQ\nqy3SXcqc20ce5zsWZ7W058jtr8zleG0JnhpHZoYmii3nijCazby/bw9zv1tFcWMD8b5+rJv7APfF\n95cLxWVkbhKUCgWPDxrCd7PnEenhQVZNNTO/XsGnRw5hkXhh9jnujxqKg0rNjvIsMuvLxZbTIT72\n3gz3GooFCxtKU8WW0ymxbUOGcxp6iIHSaDTMnDmTH3/88Ypf8+677/LZZ5+RmppKVVUVo0aNYsqU\nKTQ1NV31+wc4jsFVE3nVr7uRlLWWc6jmMCqFytYeKmU+OWOtfXogehhatbQztQDy6mqZ/e1XfHRw\nP4Ig8OTgoXx771wiPTzFliYjI9MNxPv6se6+B5jfLwGDxcyS3TtYsOZbypoaxZbWKZ72TtwbPhCA\nT9uutVLm3KD7HZW7aDA2iKymY7y1A/FyGIDR0vWfg24xUHFxcTz22GMMHjz4il/zz3/+k+eee45+\n/fqh1Wp5/fXXMRgMrF69+qrfP8b9gat+zY0mpXQjAgKjvEfiqZH2HLkTtSXsq8zBSa1hXoS0YxYE\nQeCbUyeYvnIZaeVlBDi7sGLmbJ4feRsalUpseTI3CJ3ByMHsIo7mFmPo4aGLMleO1s6O18dN5JPp\nd+HpoGVvYQHJK5ay8ay0O9wAHowegVqhJKXoBIXN0h6iHOwYzAD3BIyCkc3lW8WW0ym92lahuhpJ\ntB7V19eTl5fH0KHnb85qtZrExESOHj3KAw9c2hAZjUZMv7g46tpmJXk6SLfA2WQx8X3xD+ys3IUC\nBcn+SWJL6pADlbksPLwGgDkRg3HVOIgrqAPqWnW8tHUzG7OtF8vpMbG8Pm4ibg7S1SzTNdQ26Tia\nV8KRnGKO5hZzqqgCk8UCgEatIj7Ej4GRQSRGBDEgPABXrfyZuJmZEBnFhvkP8octG9mRn8dvUtYy\nu088r44Zh5NGI7a8SxLk6M604H78UJjGY3u+5J0hM+nnESS2rMsyPSCZY3VprC/dgIPSnqkBSZIN\ngfZ3HI27Jhbo2tEuV2WgHnroIb744vKhVGPHjmX79u1XLaKhwboE6O7u3u7/e3h42P7tUrz55pu8\n9tprV/1+YlGqK+Nf2f8hvyUfBQpmh9xDgFaahe4Gi5m/nfqJz7L2IgAJHsG2AZhSZG9hAc9t2kBZ\ncxPOdhpeu30Cd/WOk2udbkIEQaCktoEjOcUcyS3hSG4xOeU17Y5RKhTEBfliNJs5W1bddlwJcBCF\nAmL8vRkYGcSgiCASI4Pwc5N2DaLM1ePj5MRnd85kafpR/rx7J6tOneBAcREfJE0jwU+a192n+44n\no76UMw0VzNvxGb+Nu51Heo1CJUFjEuMSzbSAqawv3cCqou9Irz/B45GP4mUvvTIJhULJ2KDPgK6t\ng1IIVxF/2tTURGtr62X/3c7ODjc3t/ZvoFCwefNmJk6ceNnX1dfX4+7uzt69exkxYoTt/0+ePJn4\n+Hjef//9S77uUitQXl5etLS0oNVqr/TH6nYEQWB75U5WFHyFwWLAW+PNr6MepZeLNIMocxqreP7Q\n95yqK0WJgt/0HsOvY8dIsvNObzLx1/17+OTIIQRgUEAg709OJuSCz6FMz8ViEcgqq2pbXSrhcG4x\nFfXtayPt1Sr6hQUwMCKIgRGBJIQH4OxgjQWpb2nlWF4Jh9tWp04UlmMyW9q9PsjT1fraSOvrI3w9\nZfN9E5FZXcUzqSmcrqpErVTy1LARPDFoKCopXtPMJt4/uYWl2QcAGOwVxtuD7ybQUZrXtPS643ya\n+xn1xgYcVY48FL6AYV5DxJZ1ETqdDkdHxy71B1dloK7pDa7AQAFERETwzDPP8Lvf/Q4Ak8lEYGAg\n77333mW38C6kO07Q9dJgbOTz3P9xpO4YACO9RrAgfD5alTT0/RJBEPg67zBvH0+l1Wwi2NGdvwye\nSaJXiNjSLsnZmmqe3rieU1WVqBQKfjdsBE8OHiZJoydz5RhMJk4UlHMk17rCdCy3hMZWfbtjXLX2\nNsOTGBFI32A/7NRXVuPWajRxoqDM9v3T8kpoajW0O8bDSUtiRKDtPXoH+WAn19D1aPQmE+/s3c1n\nxw4DMCQwiPcnJxPk6iqyskuzu/wsLx7+gSp9Ey529iwaMJ1pwdIsT2kwNvLf3M85VpcGwGjvkdwf\nNk9S97keY6AEQUCvt17wtFotKSkpjBs3DrVajfoyic/vvPMOf//730lJSSEqKoo33niD//3vf2Rm\nZuLsfGXL61IzUMfrTvBJ7mfUG+txVGl5MPwBhnsNE1vWJanRN/PKkbVsKzsDwIyQBF5JmIqznfTC\nPQVB4MvjaSzZtQO92USoqxt/nZJMYkCg2NJkroEGXSvH8ko5mlvMkRzrCpHB1H46fYCHS7sVokhf\nL5TKrlkhMlssZJVWta1QWbcEKxvajwbRatT0Dw2wmqrIIBLCAnC0l2YtjUzH7MrP4/ktG6lobsZZ\no+H1cROZERsntqxLUqNv5o9H17G1NBOwjn55NSFZstflbZU7WFnwNQaLAR97b56IfIxol2ixpQE9\nyEDl5eURERFx0f9ftGgRixcvBqBv377Mnz+fl156CTifA/Wf//yHhoYGBg8ezD/+8Q/69et3xe8r\nFQNlsBj5pvBbNpVb869iXXrx68hH8bL3Ek1TR+wqP8tLh9dQpW/G1c6BRQOmkSzRJ52qlhZe2JJq\nG9swK64vi8aOx1mihaEyF1Ne38TRnGIOtxmmrLIqLrwKRft7Mait6HtgRCABHjdulUAQBIqq660r\nVDlWQ5VX2b4rSqVU0DvIl8SIQGsdVUQQXi5yMGtPoUbXwktbN7MpxzoUd0ZsHK/dPgFXe2kak2/y\njvDW8VR0ZiNBju78ZfDdDPQKFVvaJSnRlfJx9n/IbylAiZI7A6dzZ9B0VApxV3B7jIESCykYqMKW\nIj7O/g9FumJUChUzg+4iWaLdCXqzifdObmZZ9s8ADPEO4+1BdxMg0b327Xm5PL95I9W6FtzsHXhz\n/ESSY2LFliXTAYIgkFtRYy3izinmSG4xxTXtG0PUKiXxIX4kRgQxKDKIAeGBuDlKq0uuurHFVkd1\nJLeY08UVmC3tL53hPh4MjLBuKQ6KDCLYy02uo5IwgiCw6uRx/rRzGzqTiSAXV96fMpUhgcFiS7sk\nuW21qSfbalOf6H0bT8aOlWTJgsli4rvi1WwoTUVAINo5il9HPoavg49ommQD1QliGiiLYGFL+VZW\nFX6LUTDhZ+/Hk1GPE+EcfkN1XCln6st57tD3ZDVUoFYo+V2fcTwcM1KS3R6tJiNv7d7J0vRjAIwI\nDuHdSVMJcHERV5jMRRjNZk4XV9rM0tHcEmqbde2OcbLXMCAikIFtNUbxof442EkiUeWKadEbSMsv\ntW755RSTXlCKztA+b8rH1el8HVVEEL0CvSVZtHyrk1Nbw9OpKZyoKEepUPCbwcP47dDhkqx5M1jM\nfJSxjU/P7EEA+nsE8c7gmYQ6S6/zDSCj4TT/zv6UWmMtDkoHHgifzyivEaI8WMgGqhPEMlB1hjo+\nzf2c4/XW0TNjfcYwP/Q+SQ4HtggCy7IP8N7JLRgtZsKdvXh38Ez6ekizfiijsoKnU1PIqqnGTqnk\n9yNG8+jAwSjlJ3tJcM5InOuQu5yR+OXKTEzAzWckbMaxbVvyssYxPMCWR9WvBxrHmxWD2cyHB/by\n8aGfrbEtfv68PyWZCHdphhz/XJnHwsOrKdU14KjW8Er/qdwVmiDJFc8mUxP/y1vGwZpDAAz1HMJD\n4Q/gpHa6oTpkA9UJYhioI7XH+Cz3cxpNTTirnXk44kEGeQy8Ie99tVS0NvLS4R/YU5ENwJzwQfyh\n32Qc1dKrH7IIAp8dPcy7e3djsJiJ9PDggynTiPf1E1vaLU11YwtHc631S0dzSzrcyhoYaV19uRW3\nsqxbl7Vtq3DFHM659NZl32BrwKdUty5vNQ4UFfLspg2UNjXiaGfHH8eM494+8ZL8/NYbdLx2bD0b\nik8CkBTUh0UDpuOuEb+B6kIEQWBP1V6W5S+n1aLHU+PB45GPEufa+4ZpkA1UJ9xIA6U361lZ8DXb\nKncA0Ne1D49FPoyHRMeybC05zStH11Jn0OGu0fJG4p1MCLxxH96robypiec2b2BPYQEA8/sl8NLo\nsWjtpD+D72biXDH1L7vTLldMPfAX9UtyMfWlOVc8fy7880xp5SWL53/ZbXgji+dlrDToW3nlpy38\nmGXtfEuKiuHN8ZPwkEBn94UIgsDawnReT0uh2WTAz8GFtwffzTCfi5u4pEB5awX/zv6E7OYc6ySO\ngCRmBt2FWtn9K7GygeqEG2Wgcpvz+Hf2J5S2lqFWqJkdcg+T/CZIslC8xWTg7eOprMo7AsAo3yiW\nDJqBr4M064dSs7N4cesm6lpb8XTQ8vbEKUyIjBJb1i2B2WLhTElVWz6S1TRdrp3/XP6S3M5/7TTo\nWknLK7XlUZ0oKLtkfENieBCDIgNJjAgiyq/r4htkLo8gCKw5ncGi7VtpMhrwc3Lm3clJjAoJE1va\nJSlsruUPh77nWE0RCuBXMSN5qs94NErp1XGZBTNri3/kh5J1CAiEOYbxZNTj3T6VQzZQndDdBsoi\nWNhQupHvitdgFswEaQN5IupxQh2lGTR5oraE5w99T15TNRqlit/3ncj9UcMkWT/UbDDwxq7tfH3y\nOABjw8L5y8QkfJxu7D75rUSr0cTxgjJb/tKxvFKa9ZcJlIy0FkLLgZLdh8Fk4mRhuW3F72heCY26\n9gGibo4OJIYH2n4nVxMgKnP1FNbX8+ymFA6XlgDw2MDBPDt8FPaXyTMUE5PFwr8zd/KvzJ2YBYE4\nN3/eGTyTKFfxOt864kxjFv/O/pQqQxUapYZ5oXO43Wdst22XygaqE7rTQFXra/hPzqecbrQu607y\nm8DskHvQKKX39G0WLHx2Zi9/y9iGSbAQ4+rLu4Nn0stNmvVDaeVlPJOaQl5dLRqVihdHj2FB/0RJ\n1h30ZH450uRITjEniy490uR8/lIQEb4e8u9BJCwWgbPl1daOxrbcrMuNsDmXR/XLETYyXYPJYuFf\nhw7wtwP7MAsCfbx9+CBpGtGe0sz1O1pdyAuHV1PYXIuDSs0L/aYwJ3yQJP+OdWYdy/JWsKd6LwCJ\n7gN4OOIhXO26fodENlCd0F0G6kD1Qf6Xt5QWcwtudq48EvEwCe5XHvB5IylpqWfh4dUcrMoH4IGo\nYfy+70TsVdJ7YjJbLHx8+CAfHtiLyWIh1subD5KmEevlLba0m4LS2oZ2+Utny6rb/btCAb0CfGzz\n4+ShutLGNkS57Xd6NLeY7EsMUY4N9GFg25bfwIhAfFzl32lXcLS0hGdSUyhoqMdepeal28Zyfz9p\ndr41G/W8kb6BNQXW0Srj/Hvx+sA78bKX5or+geqf2+6xOtzs3Hg04lf07+J7rGygOqGrT5DOrOPL\n/BXsrrK64wHuCTwS8RCudtIs7EwpOsHiYz/SaNTjbe/MnwfNYLSfNGL0L6S4oYFnN6VwsKQYgIcH\nDOL5kaMluTTeE7BYBLLLq9s6vko4mldMaW1ju2M0ahXxof62/KWE8ABctXLXV0+mtknHsbwSWx3V\nqcJyTJb2q4ohXm62LdiBkUGEebtL8qbfE2gyGHhtx098l2HtfBsXHslbEyfj4yhNY7Kh6CSLj/1I\ng7EVb3sn3hw4gzH+0hxiX62v5t85n5LZaB0nNtlvIveG3ING2TXNQ7KB6oSuPEFnG8/ycc4nVOqt\n+7NzQ+cwrhv3Z6+HJqOe19NSWFuYDsB4/1heH3gHnhJ92libmcGr27bSaNDj6+TEOxOTuC0sXGxZ\nPQqjyczJonJb5tDRvBLqW1rbHePiYG8LrBwUGUSfYD/s5dyhmxqdwcjxc4OSc4pJyy+lRW9sd4yn\ns6PVRLd1+sUG+qJWSa8BRsqkZGXy8k9bqNe34qV15C+TpjAuPFJsWZektKWehYfX8HNVHgD3Rw7l\n9/ETcVBJr6vZIlhIKd3I9211xsHaIJ6IepwQx+tPh5cNVCd0xQkyC2bWlvzI2uIfsWAhzDGUJ6Ie\nI1ArzaDJo9WF/OHQ9xS11OGgUrOw3xRmS3S/u0GvZ/H2razJzABgUmQUf54wGU+t3PbeGU2tetLy\nSm35S8fzS9Ff0LHl6+bMoLZVhsSIQGL8veWOrVsck9lCZkmltVGgbXWypqml3TFajR0JYQE2Q9U/\nLACtRno3V6lR2tjIc5s3sK+oEIAH+g/gxdFjcFBL79yZBQufZ+3jw1M/YRIsRLv48O6QWcRKtC42\ntymPj3P+Q1lrOXZtne4Tr7PTXTZQnXC9J6iitZJ/53zC2aZsFCiYGjCFWUF335CMiqvFZLHwceZO\n/nV6JxYE+rgH8M7gmUS6SLN+6GBJEc+mbqC4sQGtWs2rY8Yxp28/SRo9KVDZ0MSR3JK2DrkSMksq\nsVzwpxrl52mtc2m78QV6uMrnU6ZDBEGgoKqurS7OuvVXUFXX7hi1UkmfYF/bZysxPBAPZ+llIEkB\niyDw6ZFDvLdvN0aLhRhPL/46JZk+Pr5iS7skJ9s6s3ObqrFTqni27wQWRA2XZGe23qxnRcHXbG/L\nWox37ctjkQ/jrnG/pu8nG6hOuNYTJAgCe6r3sSxvOa2WVjzsPPh11I1NSb0aCppq+MOh1aTVWjM/\nHokZxW/7jJNk5ofRbObvP+/nn4cOYBEE4n39+GBKMpEe0pzdJAaCIJBvu6lZt14Kq+vbHXPupnZu\nDIh8U5PpKqoamm25X4dzi8ksvtisR/p52jr9EiOCCPKUzfovOVFRztOp68mprUWjVPHcyNE8nDhI\nksakxWTgLyc28XXuYQBG+kby54F34auVZjbg4dojfJb7BU1t0z4eiXiIgR6JV/19ZAPVCddygppN\nzfwvbxk/1xwEYIjHIB6KWICzWnqdK4IgsKYgjTfSN9BiMuCvdeXtQXcz1CdcbGmXJK+ulmdSU0gr\nL0MBPDF4KE8NG4nmFs8Rsm6rVPyiQ+7ibRVH+19uq1jnpsnbKjI3guZW63zDw22dfumX2S4+14ww\nMDKIaH+vm26+4dWiMxpZsnsHy49bO99GhoTy7qQk/J2laUx+Ks3klSNrqTW04K7R8qfEO5gUGCe2\nrEtSa6jl05zPOdHQVrzvM5a5oXOuat6sbKA64WpPUEbDaf6T8yk1hloclPbcHzaP0d6jJPlkVW/Q\nsfjYj2wsPgVY5x4tHjAdN4nOPfo24ySv7fiJFqORAGcX3p88lWHB0gwc7W5a9EaOF5TaDFNafik6\nw8WFvYNsredBxAb6yIW9MpLAaDJzqrjCtkJ6NLfjhoWBEUH0Dbl1Gxa25mTzwpZUalp1uDs4sGT8\nZJKipdn5VtnaxEuH17C7bT7qveEDWdhvikTno1rYXL6VVYXfYhJM+Dv48UTU40Q4hV/R62UD1QlX\neoJMFhPfF/9ASukGBASinCL5ddRj+DlIc9/6QGUuCw+voaxt8var/acyQ6KTt+tadby0dTMbs7MA\nmB4Ty+vjJuLmcOu0y9c26Ww3miO5xWQUVVzUWh7q7W7LXxoYGUSo3Fou00OwWARyKqp/kUdVQklt\n+0HJdioV/UL9bHVUA26xyIzK5mb+sGUjO/LzAJjdJ55Xx4zDSSNFYyKwPOdn3j2xGYPFTLizF+8M\nnkm8hzQbpwpaCvk4+z8U60pQKVTMDLqL5ICkTgvMZQPVCVdygkp1Zfwr+z/kt+SjQMGdgdO5M3C6\nJAvFDRYzfzv1E59l7UUAEjyC+cvguwl1lmb90N7CAp7btIGy5iac7TS8dvsE7uodd1MbA0EQKK5p\nsOYvtZmmnEuFGwb5nN/yiAjC21WaERMyMtdCWW2jbYbikdwSzpZVtRuUrFBAjL93uzyqmz20VRAE\nlqYf5c+7d2Iwmwlzc+eDpGkk+HXvzLdr5Ux9Oc8f+p4zDRWoFUp+G3c7j/QahUqCM14NFgOrCr9l\nc/lWAHq7xPJ45CN42V8+HV42UJ3Q0QkSBIHtlTtYUfA1BosBb403v456lF4u0lxazWms4vlD33Oq\nrhQlCp7sPYYnYseglmCdgd5k4q/79/DJkUMIwKCAQN6fnEyIm5vY0rocs8XC2bLq8wXfuSWXHK/R\nPyyAxIggBkUG0T/MXx6vIXNLUd/SStq5sUG5xZwovPTYoIER1siNQZFBRPh63pQPW5nVVTy9cT2Z\n1VWolUqeGjaCJwYNlWTNmN5s4v2TW1iafQCAwV5hvD34bgIdpXktT687zqe5n1FvbMBRpeWh8AUM\n8xp6yWNlA9UJlztBDcZGPsv9H0frjgEw0msED4TNw1EtvfwhQRD4Ou8wbx9PpdVsItjRnb8Mnkmi\nlzTrh87WVPP0xvWcqqpEpVDw26Ej+M2QYZI0eteC3mgd8HrOLB3LLaGxtf2AV1etve2pOjEiUB7w\nKiNzAa1GEycKymydfml5JTS1th9c7e7oYHvoSIwIJC7Y96YZXK03mXhn724+O2btfBsSGMT7k5MJ\ncpXmVIvd5Wd58fAPVOmbcLGzZ9GA6UwLjhdb1iVpMDby39zPOVZnLd4f5TWSB8LnoVW1N0mygeqE\nS52g43Un+CT3M+qN9TiqtDwY/gDDvYaJrPTS1OibeeXIWraVWaPsZ4Qk8ErCVJztpLd6IQgCXx5P\nY8muHejNJkJd3fjrlGQSA6S5b36lNOhaOZZXaps1drygHKO5fQdSgIeLzTANjAgk0tdLDqyUkbkK\nzBYLWaVVbZ1+1lrByobmdsc42KnpHxZgndMYYa2jcrSXXg3R1bArP4/nt2ykorkZZ42G18dNZEas\nNDvfavTN/PHoOraWZgJwZ0h/Xk1Iluz96Jc7TD723vw68jFiXM6PMpMNVCf88gSp7NV8U/gtm8q3\nABDr0otfRz7a4R6pmOwqP8tLh9dQpW/G1c6BRQOmkSxRx1/V0sILW1LZlpcDwKy4viwaOx5nCRZI\ndkZ5fVO7/KWsC2o3AKL9vdqeiq2GKcBDmk+NMjI9FUEQKKqptxWlH84pJq+ytt0xKuW5QclBDIoI\nYkBEIN4uPa+WsEbXwktbN7Mp5ywAM2LjeO32CbjaS9OYfJN3hLeOp6IzGwlydOcvg+9moFeo2NIu\nSYmulI+z/0N+SwEKFMwIvIM7g6ajUqhkA9UZ507Qmaoz/K9kGUW6YlQKFXcHzWBawNTrioHvLlrN\nRt4/uYVl2T8DMMQ7jLcGSXfPeXteLs9v3ki1rgVXe3uWjJ9Eckys2LKuCEEQyK2oaffUW1zTvntI\nrVISH+JnW2EaEB6Im+Ot0z0kIyMVappabGbqaG4xGcUVmC3tb1fhPh4k/iKPKsTLrUfUUQmCwNcn\nj/P6zm3oTCaCXFx5f8pUhgRe/8y37iC3rSb3ZFtN7hO9b+PJ2LGSLNUwWUx8V7yaDaWpti77J6Ie\nx0Vwlg1UR5wzUA/ufBjBHvzs/Xgy6nEinMPFlnZJztSX89yh78lq63r4Xdw4Hu41UpJdD60mI2/t\n3snS9GMADA8K4d3JSQS6SHc1xmg2k1FUYQurPJpbTN0F+TXODhoSws/n18SH+uNwi+bXyMhImRa9\ngfT8Mlu3X3p+KTqDqd0x3i6O7eqoYgN9JFmsfY6c2hqeTk3hREU5SoWC3wwexm+HDpdk7ZfBYuaj\njG18emYPAtDfI4h3Bs+UbFf4hTmPs33vYWLYBNlAXY5zBmrejgVMCBnP/ND7riqp9EZhEQSWZR/g\nvZNbMLblbrw7eCZ9JZq7kVFZwdOpKWTVVGOnVPL7EaN5dOBgSY4paDWa+HLnEfadKSA9v5RWY/sL\nrI+rU7vOn5gAb0lfYGWuHqPRTGZOOcczi1EplfSPCyI63FcOJr3JMJrNZBZXcrht+/1obgm1zbp2\nxzjZaxgQHsDo3uHMGZUgTWNiNvPhgb18fOhna1yNnz/vT0kmwt1DbGmX5OfKPBYeXk1pWy7hK/2n\ncpdEcwmbTc18nreUgzWHMLWaWDF2qWygLsc5A7WraA+jg0aKLeeSVOgaefHIGvZWWOuH5oQP4g/9\nJks0+VXgs6OHeXfvbgwWM5EeHnwwZRrxvtKc4H26uIIXlm9ol8MU7uPRtrxvXWEK7iFL/DJXTovO\nwInMEtIyikjPKOZUVin6C1YmtA52xMcGkhAXTP/eQfTpFYCDvTwa52bCukVfax3A3dY1W/SLmZLx\nIX68NX8qYT7SNCYHigp5dtMGSpsacbSz449jxnFvn3hJXq/qDTpeO7aeDcXW0SpTAvuwOHE67hKd\njLGnai+fZ37BZ7d9Ihuoy9EdRWJdyZaS07x6dC11Bh3uGi1vJN7JhEBpDiwub2riuc0b2FNYAMD8\nfgm8NHosWjvp3XQsFoFlO4/wQcpuTGYLEb6e/L+kEQyKDMbLRXpRFTLXR3VtM+mni0g7VUz66WLO\n5lVguaA2JizIk/5xQZhMFtJPF1NcVtfu31UqJbGRfiTEBdE/Lpj+cUG4uUjvmiFzfZTXN3HwbCF/\n27CH0tpGtBo1C+8ax91D+0rSmDToW3nlpy38mGXtfEuKiuHN8ZPwkOD9TBAE1ham83paCs0mA34O\nLrw9+G6G+USILe2SlDeU4+/mLxuoyyFVA9ViMvD28VRW5R0BYJRvFEsGzcDXQZpDJlOzs3hx6ybq\nWlvxdNDy9sQpTIiMElvWJSmvb+LllRs5kFUIwJyRCfz+jtvkwbs3CYIgUFRaZ11dOl1M+qkiii5h\nhnpF+tK/dxAJccH06x2Eh1t741xV02R9fUYRaRlW03XhlS882Iv+cdbv0T8uCH8fV0neZGWungZd\nK29+t42Uo6cBmNAvmsX3TsTdSTr3iXMIgsCa0xks2r6VJqMBPydn3p2cxKiQMLGlXZLC5lr+cOh7\njtUUoQB+FTOSp/qMR6OU1nap3IXXCVI0UCdqS3j+0PfkNVWjUar4fd+J3B81TJL1Q80GA2/s2s7X\nJ48DMDYsnL9MTMLHSZqtwpvTs3jtmy3Ut7Ti6azlT3MmM7ZPpNiyZK4Dk9nC2bwK0jOsZif9dDE1\ndS3tjtE62NG3V6DN7PSJ8UfrcHVb4E3Nek6cKbG9z6msUgzG9nlfvl4u9OsdREKfIPr3DiYy1FvO\n++rh/Hg4gze//4mmVgO+rk68MXcKI3pJ1JjU1/PsphQOl5YA8NjAwTw7fBT2auk1uZgsFv6duZN/\nZe7ELAjEufnzzuCZRLn6iC3NhmygOkFKBsosWPjvmT38PWM7JsFCjKsv7w6eSS83adYPpZWX8Uxq\nCnl1tWhUKl4cPYYF/RMl+QTeojfw1prtrP7Zuv8+qnc4b8yZLM+X64G06o2cOlNK+uli0jKKOJFZ\ngq7V2O4Yd1ct/eOC27bbgogJ90XdxUnvBqOJzOxyq45TRRzPLKGx6YKOTSd7+sUGWrX0CaZ3lB8a\nuWOzx1FcU8+LyzdyNM9qTBaMHchTyaPQSNSY/OvQAf52YB9mQaCPtw8fJE0j2lOaeYZHqwv5w6Hv\nKWqpw0Gl5g/xk7kvYrAk7iOygeoEqRiokpZ6Xji0mkPV+QA8EDWM3/ediL1Ken+gZouFjw8f5MMD\nezFZLMR6efNB0jRivbzFlnZJjheUsXD5Bgqq6tCoVfz+jjHMHSXNDhCZi6lv1NlWfdIyisnMKcd8\n4Yw0f3fbdlz/uCBCAj1u+O/XYhHIK6qy1VmlZRRRUdXY7hiNnYq46AD6txm7frFBODtJr+tX5mJM\nZgv//ekg/9q0D7NFoFeAN2/fP5Vof2le946WlvBMagoFDfXYq9S8dNtY7u8nzetek1HPm+kbWFNg\nHa1yu38v3hh4J1724j7gygaqE6RgoFKKTrD42I80GvV42zvz50EzGO0X3fkLRaC4oYFnN6VwsKQY\ngIcHDOL5kaMluURstlgveP9M7RkXPBlrLUdZZQPpGcW2Drm8oup2xygUEB3ue76Yu3cQ3p7OIinu\nGOvPUmT7eXILL/5ZosJ8bMYvIS5Ysj+LjJX0/FIWLt9AYXU99moVz0r4gazJYOC1HT/xXYZ15X1c\neCRvTZyMj6M0V943FJ1k8bEfaTC24m3vxJsDZzDGP0Y0PbKB6gQxDVSTUc/raSmsLUwHYLx/LK8P\nvANPkV335VibmcGr27bSaNDj6+TEOxOTuC0sXGxZl6S4pp6XVmzkSK70l9xvZSwWgZyCKluH3PHT\nxVRUX7xq0ycmwNb5Ft8rsMeu2tQ36jh+usRWq3U6uwyTqf1qWoCvm62GKiEuiNAgT0nenG9lLiwJ\nuC0ugj/NmSTZMTEpWZm8/NMW6vWteGkd+cukKYwLl2btZ2lLPQsPr+HnqjwA7o8cyu/jJ+KguvFN\nPrKB6gSxDNSF+74L+01hdvggSV4oG/R6Fm/fyprMDAAmRUbx5wmT8dRKs93/l0WfPq5OvHHfFEbG\nSrPo81bDYDRxOrvcWjN02rrV1dSsb3eMs5M9/XsH2VZkYm/iuqFWvZGMs2W21bYTmSW06AztjnF3\n1VoL09sMZK+Irq/nkrk2NqdnsXjVZhp0ejydtbw+ZzJjJNqUUtrYyHObN7CvyNp9/ED/Abw4egwO\naul1H5sFC59n7ePDUz9hEixEu/jwzpCZ9Hbzv6E6ZAPVCTfaQJksFv6VuYOPT+/CgkAf9wDeGTyT\nSBdpbisdLCni2dQNFDc2oFWreXXMOOb07SdJo9eo0/PGdz+1aztedM9EPJyl0V15K9LUrOd4ZnFb\nDVMxGWcv0bnm7WILq0zoE0R48K3buWYyW8jJryTNtoVZdFFHoYO92tZR2L93MH17BeColV6o7q1C\nWV0jr6xM5cBZ6ceiWASBT48c4r19uzFaLMR4evHXKcn08fEVW9olOdnWkZ7bVI2dUsWzfSewIGr4\nDetIlw1UJ9xIA1XQVMMfDq0mrdaaffFIzCh+22ec5LIvwDry4O8/7+efhw5gEQTiff34YEoykR7S\nnGF0OKeIl1akUlLbgFaj5oUZtzNzmDQTeW9mqmqabKspaRlFZOdXXpSdFBHiZVtN6R8XjL+PdGcj\nio0gCBSX1Z2vCTtdTGFJbbtjVEoFMRG+1nPaJ5j+vQPxcJPmVtLNyoXBvJF+nrw9fyq9g6RpTE5U\nlPN06npyamvRKFU8N3I0DycOkmRUTovJwF9ObOLr3MMAjPSN5M8D78JX2/2ZiLKB6oQbYaAEQWBN\nQRpvpG+gxWTAX+vK24PuZqhPeLe83/WSV1fLM6kppJWXoQCeGDyUp4aNRCPBmVBGs5l/bdrPf7ce\nxCII9G0bvRAu0dELNxOCIFBQXENaRrGthqm0or7dMWq1kt5R/m1bcsH06x0op3dfJzV1zdYVvbZO\nv6zci1PVQwM927ZArec90E8eR3QjyCiqYOEK62gotUrJU1NHsWDsIEmuqOqMRpbs3sHy49bOt5Eh\nobw7KQl/Z2mGNf9UmskrR9ZSa2jBXaPlT4l3MCkwrlvfs8cYqLS0NBYuXMjRo0cpLy9n8+bNTJw4\nscPXLF68mNdff73dD3bHHXewcuXKK37f7jZQdQYdrx37kY3FpwBICurD4gHTcZPo/J9vM07y2o6f\naDEaCXB24f3JUxkWHCK2tEuSX1nLwuUbOFFYjkIBj44fypNTpDmV/GbAZDJzJrfCthpy/HQxdQ3t\nB7FqHezoFxtE/z7Wmp24aH95flw306IzcLIt4DMto4iTZy6e6+fl4dSu0y8y1BuVPCi5W9AZjLy3\nbhdf77Uak2HRIbw5Lwk/N2l2V27NyeaFLanUtOpwd3BgyfjJJEWL1/nWERWtjbx8+Ad2V2QDcG/4\nQBb2m9Jtc2F7jIHKyMhg9+7dJCYmMmTIkCs2UFu2bGH37t3X/L7daaAOVOay8PAaytomUL/afyoz\nJDqBuq5Vx0tbN7MxOwuA6TGxvD5uIm4ODiIruxhBEFj980neWrMdncFIgIcLS+YmMTgqWGxpNxXW\nG3Mp6aetW3Inz5TQqm9/Y/Z0d2wLrLTenKPCfFDLN2ZRMZnMZOZUWH9vbZlU9Y3tja6To4b42EBb\np19cTAD2mpuzUF8sdpzK4Y9fb6KmSYer1p7Fsycxqb80jUllczN/2LKRHfl5AMzuE8+rY8bhpJFe\nbZ1FEFie8zPvntiMwWIm3NmLdwbPJN4jsMvfq8cYqHZvoFD0aANlsJj526mf+CxrLwKQ4BHMXwbf\nTaizNOuH9hYW8NymDZQ1N+Fsp+G12ydwV+84aRq9Zh2vfbOFLcfPAjB1QCyv3DMeV630jF5Po7a+\nmfTTJaSfstbanMkpx3zB1lBIoEe7wMogf3dJfk5kzmOxCBSU1JDW9ntNzyiitKKh3TF2ahW9o/xs\nURH9egfh6iz/TV0vVY3NvPrVJnafzgPg7qF9WXjX7TjaS8+YCILA0vSj/Hn3TgxmM2Fu7nyQNI0E\nvxvb+XalnKkv5/lD33OmoQK1Qslv427nkV6jUCm67gHupjdQ77zzDo6Ojjg6OjJq1CjefPNNIiIu\nP9nZaDRiMp1/itbpdHh5eXXZCcpprOL5Q99zqq4UJQqe7D2GJ2LHoFZK76lcbzLx1/17+OTIIQRg\nUEAg709OJsTNTWxpl2TfmXxeWZlKRUMzTvYaXp41nukDe8s38GtAEARKyutt6d7pGcUUlNS0O0b5\ny+LktlgBT3e5OPlmoKK6sV1YaU7BxcX+kaHetkL/hLgg/LzlYv9rQRAEVu5J4/11O9GbzIR4ufHW\n/Kn0DwsQW9olyayu4umN68msrkKtVPLUsBE8MWgoKinew8wm3j+5haXZBwAY7BXGW4PvIsjRvUu+\nv+gG6qGHHuKLL7647L+PHTuW7du3t3+DKzRQJ06cwMXFhdDQUEpKSvjDH/7A/v37SUtLw9n50vvN\nixcv5rXXXrvo/1/vCRIEga/zDvP28VRazSaCHd35y+CZJHpJs37obE01T29cz6mqSlQKBb8dOoLf\nDBkmSaNnMJn4W8pevthh7cJIDA9kybwkgr2kafSkiNlsIaegql2HXHVtc7tj7DVq+vYKsK0u9e0V\nKLfH3yI0NLVyMrPE1umXkVWG0dQ+bsLfx9VmqPr3DiI82EuSxdFS5WxZFS98uYEzpVWolAqenDyC\nRycMkaYxMZl4Z+9uPjtmveYOCQzi/cnJBLlK00TvLj/Li4d/oErfhIudPYsGTGdacPx1f1/RDVRT\nUxOtra2X/Xc7OzvcLljxuFIDdSF6vR43NzfWrl3L5MmTL3lMd6xA1eibeeXIWraVnQFgRkgCryRM\nxdlOemnJgiDw5fE0luzagd5sItTVjb9OSSYxoOv3j7uC7LJqXli+gcySSlRKBU9MHs6j44fKdTad\noDeYyMgqtXXIncgsobmlfUCjm4uW/r2D6NdWWNwrwhc7O7kAX8b6+Tl9tuwXg5KLL/r8uDo7tAV8\nWk1VbKSf/PnphEs9DP55fhJBntJ8GNyVn8fzWzZS0dyMs0bD6+MmMiO2ezvfrpUafTN/PLqOraWZ\nANwZ0p9XE5Kv6z4suoG6pje4RgNlMBhwc3NjzZo1TJky5Ypec70naFf5WV46vIYqfTOudg4sGjCN\n5C5wvt1BVUsLL2xJZVteDgCz4vqyaOx4nCVYKCgIAl/tSeO9HrLsLTYNTa3WZO+2obuns8svWkEI\n8HWlf++2Tqw+wYQGesorCDJXhNlsIaewqt1Q56qapnbH2GvUbSN3rIY8PlZewbwc+87k8/LKVCob\nmnF20PDyzPFMHyRRY6Jr4aWtm9mUY607nREbx2u3T8DVXpoLBN/kHeGt46nozEaCHN35y+C7GegV\nek3fr8cYKEEQ0OutIx20Wi0pKSmMGzcOtVqN+jLzy1atWsX48ePx9vamvLyc559/np07d3L8+HFc\nXK4sy+JaT1Cr2cj7J7ewLPtnAIZ4h/HWoLsJdJTmk8T2vFye37yRal0Lrvb2LBk/ieSYWLFlXZKq\nxmb++PVmdmXkAnDXEGvhpZODfDE+R3lVQ1vt0rkalqp2/65QQGSoj+1m1j8uCF8vaea7yPQ8BEGg\ntKK+bTvY+jnML764hi463NeWMN+/dzBeHnIN3TnqmnUs/mYLW9saYpITe/PyrHGSbIgRBIGvTx7n\n9Z3b0JlMBLm48v6UqQwJlGbnc25bLfLJtlrkX8fexpO9x2B3laHVPcZA5eXlXbL4e9GiRSxevBiA\nvn37Mn/+fF566SUA7rzzTvbt20dzczMeHh6MGTOG119/nejo6Ct+32s5QWfqy3nu0PdktVX//y5u\nHA/3Gtml1f9dRavJyFu7d7I0/RgAw4NCeHdyEoEu0tzL3nkqh1d/0fq76N6JTE7oJbYsUbFYBPKK\nqm0dVOkZxZRVXtxFFRfjb+uQ6xsbKHdRydxQautbbPMN0zKKOJNTgdncflBysL97W1q69XMaHHBr\nd3Gej2TZhs5gIsDDhT/PS2JQpDSNSU5tDU+npnCiohylQsFvBg/jt0Olmb1nsJj5KGMbn57ZgwD0\n9wjincEzr6obvscYKLG4mhNkEQSWZR/gvZNbMLblT7w7eCZ9uyF/oivIqKzg6dQUsmqqsVMq+f2I\n0Tw6cLAk4/pbjSbeW7eTr/ZYw+eGRofw5twp+LvfeqsmRqOZzNxy0k9Zt0qOny6moal9HaGTo4Z+\nsdatuP69g+gd7S/n+MhICl2rgVNZZbYtv5NnStC1Gtsd4+nuaEup7x8XRHS47y1Z3/jLUGClQsEj\n44dINhTYYDbz4YG9fHzoZ2tMj58/709JJsJdmtMffq7MY+Hh1ZS25TG+0n8qd11hHqNsoDrhSk9Q\nha6RF4+sYW+FtX5oTvgg/tBvcrcloF4PFkHgs6OHeXfvbgwWM5EeHnwwZRrxvn5iS7skp4sreGH5\n+fEHv5s6igclOv6gO2jRGThxrgMqo5hTWRcnSXt7OtuKdfvHBREZIidJy/QsTGYLZ3Mr2nWCXirJ\nPj420Bad0adXwC2TZH9uLNWnW39GECC+bSxVmETHUh0oKuTZTRsobWrE0c6OP44Zx719pDl/tN6g\nY/Gx9WwsPgnAlMA+LE6cjnsnE0FkA9UJV3KCtpSc5tWja6kz6HDXaHkj8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MHchQiCwFd7\n0nivhyz/5hRU8tpf15NdYH3KenjOKO6/e6hcsCsS+lYjmSeKrCtMR/I5nVZIywVJ724eTu1WWqJi\nA1Db3dqF/QaDibOnSmxdhSeP5tN0QdCns6uWvgNCbXlU0X0C0WjkgE8xMBhNfLJiNyvXHgIgPjaQ\nV3+XTJC/u7jCLsO+M/m8vDKVyoZmnB00vDxzPNMH3VhjcqXU6Fp4cesmNudkAzAjNo7Xbp+Aq/2N\nKcOQDVQn3EgDtT0vl+c3b6Ra14KrvT1Lxk8iOUa6BYh//HozuzJyAbhriLUA0UmCQXKCIPDdhqP8\nc+kODEYzwf7u/PHpafSJkabRu1lprG/h5NEC2+pS1skSTKb2gZUBwR70/UXBd3C4t2Trl6SCxWIh\n/2yFrTD9xJE8qsob2h2jsVcTGx9si0+IGxCKk7P0mjpuZg6l5/Pm3zdQWdOEo1bDM49OIGlsH0l+\nvuuadSz+Zgtb2xqBkhN78/KscZJtBPr65HFe37kNnclEkIsr70+ZypDA7m8Ekg1UJ9wIA9VqMvLW\n7p0sTT8GwPCgEN6dnESgizRbYHeeyuHVX7TALrp3IpMTeokt65JU1zaz5B8bOHA0D4DpE/rxu1+N\nk2RB581GRWld2yqJ1TTlZ1e0+3eFQkFkrL/tpt43MQwvX2l+5nsa5SW17Tr9Ljz3SqWCiF7+thWq\nvolhePlIK6TwZqS+Ucc7H29i+35rFM2EUbH8/vFJuErQzJ6PotmGzmAiwMOFP89LYlCkNDuUc2pr\neDo1hRMV5SgVCn4zeBi/Hdq9mYOygeqE7jZQGZUVPJ2aQlZNNXZKJb8fMZpHBw6WZGz9hSFsQ6ND\neHPuFPzdpXnh3X0wm7f+uZG6Bh0uzg688MRkbh8hTaPX07FYLBRkV9pWl04cyaeyrL7dMXYatXXM\nSdvqUlxCKE4u0rtx3Iw01LXYcrFOHMkn61QxZlP77sWAEE/b76Zvorz6110IgsD6n07w4Wc/oWs1\n4uvtwqu/Syaxr/TDkJUKBY+MHyLZMGSD2cyHB/by8aGfEYAEP3/en5JMhHv3NFnIBqoTustAWQSB\nz44e5t29uzFYzER6ePDBlGnE+0pzDMDp4gpeWH5+DMDvpo7iQYmOAWjVG/noi+2sSbUavUH9Qnnl\nt1Px8ZKm0euJXFSHc6yApgZdu2OcXRzo03ZDlutwpEWrzkDmiSKboco4VoCuxdDumAvrz6J7B6CS\ng2W7jKLSWl77cD0ZWWUoFDD/rqE8MmcUdhKs8Ts3juvTrT8jCBDfNo4rTKLjuA4UFfLspg2UNjXi\naGfHH8eM494+XT+OSzZQndAdJ6i8qYnnNm9gT2EBAPP6JfDy6LFo7aQXlmexCCzdcZgPN+zBZLYQ\n4WsdRBkXLM1BlJk55fzpg/XkF9dgp1bx+PzRzJk+WJJGryfR3NRKxrECW2t95okiDPr2nWDefq62\nOIG+iWGERfvKnWA9BLPJTM6Zck7+IjKitrp9B6SDVkNcQohtlap3v5u/A7K7MZnM/O+bfSz9/gAW\ni0BslB+LnppGaJB0B8K/uGIjpbWNaDVqFt41jruH9pXkSmV9ayuvbtvCj1mZACRFxfDm+El4dOFC\niGygOqGrT1BqdhYvbt1EXWsrng5a3p44hQmRUV2gtOspr2/i5ZUbOZBVCMCckQn8/o7b0GqkafS+\nWnuQ/6zcjclkITzYk0VPTycmQppGT+pUVzaejxM4kk/umTIslvZ/1qFRvr9onZeziG4m2mVwtXX6\nXZjBpVIrie4d2G6Vys2jZ2dwiUVaRhGvf5hCWWUDDvZqfver8dwxsZ8kjUmDrpU3v9tGytHTAEzo\nF83ieyfi7iT+rNgLEQSBNaczWLR9K01GA35Ozrw7OYlRIWFd8v1lA9UJXXWCmg0G3ti1na9PHgdg\nTGg470xKwsdJmheczelZLF61mQadHk9nLX+aM5mxfSLFlnVJKqobefPvGzh83LqiNzNpAL9ZMBaH\nbppvdrNxLg3bVnR8NJ/Swpp2x6jUSmL6BNlulH0Tw3B1l9OwbyVqqho59YsuyuzTpReZ6pAIn/am\nWsIp8FKjqVnP+59uYdPODABuGxLNC7+ZjLurNP/OfjycwZvf/0RTqwFfVyfemDuFEb26xph0NYX1\n9Ty7KYXDpSUAPDZwMM8OH4W9+vpKCmQD1QldcYLSyst4JjWFvLpaNCoVC0eNYUFCoiQLxVv0Bt5a\ns53VP58EYFTvcN6YMxlvV2kavZ/2ZvLOvzfT2NSKh5sjL/7fFEYOkuaKnlQwm8xkZ5adX124xDw2\nraOGuAGhtpthbHwwDnLnoswvaGnWczq90LZK2eEcwrZOSzHnEPYUNu3K4L3/bKa5xYCXuxMv/3Yq\nQweEiy3rkhTX1PPi8o0czbMakwVjB/JU8ig012lMugOTxcI/Dx7g7z/vwywI9PH24YOkaUR7el3z\n95QNVCdczwkyWyx8fPggHx7Yi8liIdbLmw+SphHr5d1Naq+P4wVlLFy+gYKqOjRqFb+/YwxzRyVI\n8gmyRWfgg/9uJWWb1eiNGBjBi/+XhKe7NI2emLS2GDh9vNC2upSRVkirrn3BsIeX8/k4gYHhRPby\nkwuGZa4Ko9HE2VOl7ZLkG+vbNxY4uTjQJyHU9lnrFR+ERl4pvoiyinpe/9sG0jKKAJg9fRC/nn8b\n9hJswjCZLfz3p4P8a9M+zBaBXgHevH3/VKL9pXmfO1pawjOpKRQ01GOvUvPSbWO5v9+13edkA9UJ\n13qCihsaeHZTCgdLigF4eMAgnh85+rqXDLsDs8XCp1t7zh/AiTMl/OmD9ZSU16PRqPl/D47l7ikD\nJGn0xKC+trltMK11S+7s6ZKLWtaDwrxs2yzxA8MJCPGUz59Ml2KxWCjMrbIZqhNH8qkoqWt3jJ2d\nipj4IFsWVd8BoTi7Sq+WRgzMZgvL1/zMf7/ei9lsISrUm0XPTCMy1EdsaZckPb+Uhcs3UFhdj71a\nxbMSfgBvMhh4bcdPfJdhfQAfFx7JWxMn4+N4dQ/gsoHqhGs5QWszM3h121YaDXp8HJ14d1ISt4WF\nd6/Qa6RHLcGaLSz7bj//+8Zq9KLDfVj09DQiQqRp9G4EgiBQXlxrW106cSSfwtzKdscolQqiegfY\n5qT1SQzF01uOdJC58VSW1bV9VtvCVc9WtBuUrFAoCI/xa5dH5eMvzVlsN4qMs6W89kEKRaW1aOxU\nPPnAWO5JTpSkMbmwBOS2uAj+NGcS3i7S3BlIycrkpZ8206DX46V15C+TpjAu/MprfWUD1QlXc4Ia\n9HoWb9/KmkxrEeCkyCj+PGEynlrpFwH6uDrxxn1TGBkrzSLAkvI6Xv8wheOZVqM3987BPDZvNBo7\n6Rm97sRstpB/ttzWan7iSB7VFY3tjrF3sCO2X7DtBhSXEIqj042ZDSUjczU0Nug4dazAFp+QdaIY\no7H9eB+/QHdbYnr8wDBCInwkaR66kxadgb//bxvrtlibkIYlhvPS/03FS6Jdjxc2Ib0+ZzJjJNqE\nVNLYwHObNrK/2Npt/kD/Abw4egwO6s63lmUD1QlXeoIOlhTxbOoGihsb0KrVvDpmHHP69pw21EX3\nTMTDWXpL54IgsGlnBu99soUWnQFvT2de/n9TGZIgTaPX1Rj0Rs6cKLYZplNpBTRfMDjWxU1rW13q\nmxhGdJ8A7G4xYylzc2D7vB/J4+TRAk4ey6elqf2AaVd3R1snaPzAMKLjAm+ZAdM7DmTx9j9TaWhq\nxd1Vy8LfTGH0kGixZV2SsrpGXlmZyoGzPSAGRxD49Mgh3tu3G6PFQoynF3+dkkwfn45jcGQD1Qmd\nnSCj2czff97PPw8dwCIIxPv68cGUZCI9ekYQ2gszbmfmsK5PaO0KGptbefffW9i6x2r0xg6L4Q9P\nTsbNRXpGr6toatBxKq3ANhT2Uk/kvoHuv2gVDyckwlsOrJS5KTGbLeRllbero6qpvHjFtXe/YFu3\nX1xCCFrHm3fFtaqmiTf+voFD6fkA3DU5gf/30O2SjG2xWASW7TzCBym7MZktRPpZg5h7B0kzn+9E\nRTlPp64np7YWjVLFcyNH83DioMt2zMsGqhM6OkF5dbU8k5pCWnkZCuCJwUN5athINBKcEWQ0m/lX\n6n7++9NBLIJA37Yo/nCJRvEfO1nI639LobyqEa2DHU89PJ5p46Vp9K6HyrL6dvlLeVnlF9WEhEX7\ntq0uWWMFfPzdxRMsIyMigiBQVlxr274+ebTg4po/lZKoWP/zhekDw/DwchZJcfdgsQis+vEw/16+\nC6PJTGigJ4uemUZspDRHgWUUVbBwxflRYE9NHcUCiY4C0xmNvLl7ByuOW0eBjQwJ5d1JSfg7X1w3\nKhuoTrjUCRIEgW8zTvLajp9oMRoJcHbh/clTGRYs/WGQCgU8On6oZIdBGo1mPlu1ly9XH0AQIC7G\nnz/+bhohN0HKtSAIFOZW2rKXThzJo/xyXUltcQJ9BoTiInclychclrqaZk4dy7et2p7NKMVivkTX\n6bk6qsSwm6brNCuvgtf+up68omrUaiWPzR3NfXcMlmTW1oXD6IdFh/DmvCT83KRpbrfmZPPCllRq\nWnW4OziwZPxkkqJj2h0jG6hOuPAE1bXqeGnrZjZmZwEwPSaW18dNxM1BelPlBUFg9c8neWvNdnQG\nIwEeLiyZm8TgqGCxpV2SgpIa/vTBek5nl6NUKnhg5jB+de8I1D00j8hkNHM2o8S2unTyaD4NdS3t\njnF0tqfvgLC21aVwORdHRuY6aW0xkJFeaNv2y0grvCjg08PbuV3dYGSsvyRNx5Wg1xv557KdfLfh\nKACJfUN45XdT8fN2FVnZpdlxKoc/fr2JmiYdrlp7Fs+exKT+MZ2/UAQqm5v5w5aN7MjPA2B2n3he\nHTMOJ401VLjHGKilS5fy73//m4yMDBQKBf369ePNN99k1KhRHb7uH//4B++88w4VFRX07t2bDz74\ngDFjxlzx+/7yBB2tquS5TRsoa27C2U7Da7dP4K7ecZJ8kqlr1rH4my1sPX4WgKkDYnnlnvG4aqVp\n9NZtOc7fPv+JVr0J///f3v0HNXnneQB/B8OPEEwChFXwR6jtHmp1E+zgHnLUdBVFtnTAq20VWjl1\n2l7q3Xq9qTJapO2h3WO94g0FO+MMVseORR2u17NarLN0seBScQloZUWsoHaKEgrGQAQin/vDJZKS\nYJ40gST9vGaeGfLkeZIPn+cT8smTh+83Soa836VBPcc7Gz1HzH39aG68bj27ZG9k5oioydaxlx6P\nVyH2lzwyM2OeZBm8hyuXvn/wQcbOyPuh0mDMVs+wvjbj5k1HcIhvfZA5c+5b7Cz5HN23+xAmDcbm\nV5fhN4viJjosuwx3epH38Ul89dc2AEDmwseRm6FFaLD3zXZARDjQ1IB3v6rGwL17UMkV2J36W6in\nTPWdBqqkpASPPfYYFi1ahJCQEJSUlCAvLw/Nzc2YPt3+G+2RI0ewYcMGfPrpp0hMTMTevXuxZcsW\nNDc3Y8YM575uG07QO6cq8eE350EAnoiOwXvL0jBD7p3jk5xpacebhypxy9gLaXAQtv3jb/D0gtne\n2egZ+/Cfe07i9Nf3G71lT87B6xuWIswH/u2+u8uEb6zjL7XhyqWOUV8dTI9VPmiYFqgwlecGY2xC\nDc/9+KChasP3N7ptthGLJ+GXj8eMOEs1E5Pl3jkczUjdt3vxbkklas99CwBYoX0c/7ZhCUK9cBom\nIsKhmka893/V6Lfcw4xIOX6ftQK/UkVPdGh2XeoyYNPnn+FSlwHigAD87teJWDt3PiaHhXl/A2WP\nQqHAvn37kJmZaff+p556ChqNBkVFRdZ18fHxWLlyJfLy8px6juEGSvWHdxEYHIR/WZgIXcKvIfbC\n/3oasFjw38drcOBPfwEAxMfGYOeaVEyP9M5G72xjGwqKT6CruxfS0CD8+8spWJY8Z6LDsss6O/3w\nNBV/GT07fcCkADw2J/rBxavxKigivHOcFsbYA123jDb/zPHtpQ78+G1M9ejf/pljwf2v238RrZiY\nYB+CiPBJZSOK93+JgQELYqbIsX3TbzHv72ImOjS7WjsM2HLwBFq+N2BSgAj/vCwRG5YkYJIXvsf2\nWyz4Q+1XKNOfAwDER0ahInut7zVQdXV1SEpKQktLC2bNsj9AV3h4OEpLS7F69WrrupdffhkGgwEV\nFRV29xkcHITFYrHe7uvrg1KpRGJxEf4rLR2aaO8sQgD437MX8R9HT2FSgAgbli7EP2kTIPbSr4d6\n+/qR9a9lMPb2Y35cDHJ1yxH9C+9s9ACg6ngjivL/x2bd8ICVc9UzMVejwuz50xES6n2f9BhjwvTe\nuYu/nr+Oiw3XcLHxGlq++Q6DAxabbd4qzsaCv/fOMZgAoP1GF3a8/zla2zsxVTkZ+9/LQaCXjpc1\nYLGg9PM/4+Dp+x/+d+ek4x/mPDLBUTlWc60dW/94Eh09t3F963b09vYiNNRNZyhJgLVr1xIAh8vi\nxYtH7XPt2jVSqVS0bdu2MR87ICCAjh8/brNu8+bNtGTJEof75OfnjxkPL7zwwgsvvPDCy/DS0dEh\npO0Zk6AzUCaTCXfv3nV4f2BgIOQjrjVqbW1FSkoKVq1ahcLCwjEf2x1noHp7exEVFQWDweC+DtPH\nmM1mREZGoqury22nKX0N54BzAHAOAM4BwDkAOAfAg2+oTCYTpFL3XK4haA6JsLAwhIU5Nw5EU1MT\nli9fDp1O59Q1TBqNBmfPnrVpoOrr6x1eMwXcb9gCA0f/90VoaOjPtkiGSSQSzgHngHMAzgHAOQA4\nBwDnAIBbZ4LwyEU3tbW10Gq12LJli9MXgOt0OpSVleH06dMYGBjAnj170NLSgpycHE+EyBhjjDHm\nMo80UNu2bUNPTw/efPNN61mrsLAw7Ny507rNihUr8Oqrr1pvr1q1CgUFBcjOzoZcLsfevXvx2Wef\nOT2EAWOMMcbYePHINPBVVVUP3ebEiROj1m3cuBEbN250+XnFYjHy8/MhFv98Z7fnHHAOAM4BwDkA\nOAcA5wDgHACeyYFfTeXCGGOMMTYevHPgIcYYY4wxL8YNFGOMMcaYQNxAMcYYY4wJxA0UY4wxxphA\nPt1AHThwAElJSYiIiEBkZCS0Wi1qamoeul9JSQliY2MRGhqKBQsWoLq6ehyi9YzGxkasWLECU6dO\nhUgkwqlTpx66z1tvvYVJkybZDDExcgBTX+NKDogI+fn5iImJgVQqxZNPPokLFy6MQ7Sec/ToUcye\nPRsSiQRz5sxxOIL/MF+vA6HHsLu7G1lZWZDL5VAoFMjKykJPT8/4BewBQnOg1WoRFBRkc8xLS0vH\nMWL3+/jjj5GcnAyZTAaRSGQzO4U9/lgHQnPgj3WQm5uL+fPnQyaTITo6GqtXr8b169fH3Ke/vx+v\nvfYalEolJk+ejKeffvqh+4zk0w3UnTt3sH37drS3t6OjowMZGRlITU3FjRs3HO5z5MgRbN26Ffv3\n70dPTw/Wr1+PtLQ0QUnzJkFBQVi5ciWOHTsmaL/ExESYTCbrcujQIQ9F6Hmu5GDXrl0oKytDZWUl\nDAYDkpKSsHz5cphMJg9G6jl1dXXIzs7Gjh07YDQaUVBQgKysLNTX14+5ny/XgdBjmJ2djZs3b+LK\nlStobW3FzZs3sXbt2nGO2r1cqePNmzfbHHOdTjeOEbtfeHg4dDoddu/e7dT2/lgHQnMA+F8diEQi\nfPjhhzAYDGhuboZIJEJ6evqY+7z++us4ffo0zp07h++++w4RERF45plnMDQ05NyTum1WPS8hl8up\noqLC4f1arZY2bdpks06j0dA777zj6dA8DgB98cUXD90uPz+fkpKSxiGi8edsDmJjY2n37t3W24OD\ng6RUKunAgQOeDM9jcnJyKCMjw2ZdRkYGrVu3zuE+vl4HQo5hW1sbASC9Xm9dp9frCQC1t7ePS7ye\nILSOFy9e/NCJ3X1VVVUVAaDBwUGH2/hrHQxzJgdE/l0HwxoaGggA/fDDD3bvN5vNJJFI6JNPPrGu\n6+zsJLFYTNXV1U49h0+fgfqxuro6mEwmqNVqh9vo9XosXLjQZl1CQgIaGho8HZ5XaWhoQFRUFFQq\nFdasWYOrV69OdEjj5vbt22hra7OpA7FYjPj4eJ+tA1fr2lfrQOgx1Ov1CA4OtvnboFarERQUBL1e\nPx4hu52rdbxnzx6Eh4dj9uzZyM3N9dmzrq7wxzpwlb/XwcmTJ6FSqRAeHm73/kuXLsFsNtu8fpRK\nJR555BGn3we8soHKycmBSCRyuGi12lH7XL9+Hc8//zxyc3Mxa9Ysh49tNBqhUChs1oWHh8NoNLr5\nt/hpXMmBs5599llcvHgRt27dQm1tLUQiEZYuXep1LyBP5WD4WPtTHbhS175SB/YIPYZGoxFyuXzU\neoVC4XXH3Fmu1PHOnTtx+fJldHV1oby8HJWVlVi/fr2nQ/Ua/lgHrvD3Ojh16hTefvttfPDBBw63\nccf7gFeO6/7+++9j165dDu8PDAy0ud3a2oqUlBQ899xzKCgoGPOxZTLZqAsGu7u7IZPJXI7XE4Tm\nQIh58+ZZf542bRrKysogl8tRW1uLZcuWufy47uapHAwfa3t1MG3aNJce01OczYErde0rdWCP0GMo\nk8lw+/btUet7enq87rXvLFfqeNGiRdaf1Wo1ioqKsHTpUpjNZkgkEo/F6i38sQ5c4c91cOzYMWRn\nZ+PgwYNITU11uN3I18/I31lIP+CVZ6DCwsKgVCodLiM/QTQ1NSE5ORnr1q1DYWHhQx9bo9Hg7Nmz\nNuvq6+sRHx/v9t/jpxCSg59q+GwGedmsPp7KgVwuR2xsrE0dWCwW6PV6n60Dd9S1t9aBPUKPoUaj\nQX9/P5qamqzrmpqaMDAwAI1GMx4hu5076jgg4P5bgC8cc3fwxzpwB3+pg48++ghZWVkoLy9HZmbm\nmNvGxcVBIpHYvH4MBgPa2tqc/7v5k6/UmkA1NTUUHh5ORUVFTu9z+PBhksvlVF1dTf39/VRaWkpS\nqZSuXbvmuUA9aGhoiMxmM5nNZgJAx48fJ7PZPOZFhOXl5dTZ2UlERB0dHfTiiy+SSqUio9E4XmG7\nlSs5KCwspBkzZtD58+epr6+Ptm7dSjExMXTnzp1xjNx9zpw5Q8HBwVRRUUEDAwNUUVFBISEh9PXX\nXzvcx9frQOgxTEtLo5SUFOrs7KTOzk5KSUmh9PT0cY7avYTkoKOjg06cOEEmk4mGhobowoUL9MQT\nT1BmZuYERO4+FouFzGYzVVZWEgAymUxkNpvp3r17drf3xzoQkgN/rYPi4mJSKBROXwBORKTT6Uit\nVlN7ezsZjUZ66aWXSK1WO6ydH/PpBkqr1ZJIJCKpVGqz7Nixw7pNamoqvfLKKzb7FRcX08yZMykk\nJITi4+Ppyy+/HO/Q3ebq1asEYNSSn59v3Wbu3Lk2OUlPTyelUkkSiYRiYmLohRdeoMuXL09A9O7h\nSg6GhoYoLy+PpkyZQhKJhJKTk6mpqWkConefw4cPU1xcHAUHB1NcXBwdPXrU5n5/q4OxjmF7eztJ\npVKbP6ZdXV20evVqkslkJJPJaM2aNdTd3T1B0buHkBy0tbVRQkICyWQykkql9Oijj9Ibb7zhMw2z\nI/v27bP7+q+qqvrZ1IGQHPhrHQAgsVg8qh8YeeylUikdPHjQevvu3buk0+koIiKCpFIppaWlCTqZ\nIvrbEzPGGGOMMSd55TVQjDHGGGPejBsoxhhjjDGBuIFijDHGGBOIGyjGGGOMMYG4gWKMMcYYE4gb\nKMYYY4wxgbiBYowxxhgTiBsoxhhjjDGBuIFijDHGGBOIGyjGGGOMMYG4gWKMMcYYE+j/AUkeWgKx\nYw4NAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "plt.contour(x, y, f)"
      ],
      "id": "aa04fd84"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "見ての通り,この例は $f(x,y) = x^2 - y^2$ という高さ関数の $(5, 5)$\n",
        "格子サンプルです.もちろん,この関数は原点に鞍点を持ち,高さ $f = 0$\n",
        "を境に等高線のトポロジーが変化します.では,レーブグラフを見てみましょう."
      ],
      "id": "46dbff0f-1027-4cb1-9452-2602fa1fade6"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wMBBv3rxBSEgIkpOTVQrMdu/ezZvnateuXRAKhdyoRVVpa2u/U61gTTZlKmJn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\nERERlRH/D7uA4VnTwOMMAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(8, 8))\n",
        "\n",
        "img = psiclone.data.GrayscaleImage(f)\n",
        "reeb = psiclone.reeb.get_reeb_graph(img)\n",
        "networkx.draw_networkx(reeb.to_network())"
      ],
      "id": "ffce923f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "等高線は原点を中心に四種類に分かれていますから,レーブグラフも高さ $0$\n",
        "の対応するノードが次数 $4$\n",
        "になっており,四本のエッジへと枝分かれしています.`psiclone.visualization.draw_graph_markers`\n",
        "を使うと元のデータでの位相変化点がどこにあるのか分かります."
      ],
      "id": "5503c5a5-0529-48ca-91ec-55f431e5ec8e"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "plt.imshow(f, origin=\"lower\", cmap=\"gray\")\n",
        "psiclone.visualization.draw_graph_markers(graph=reeb, geometry=img, lw=3, edge_color=\"r-\")"
      ],
      "id": "1e0cf208"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "------------------------------------------------------------------------\n",
        "\n",
        "## 演習問題:好きな式で等高線図を作りレーブグラフを計算してみよう"
      ],
      "id": "f4698523-3510-402c-aead-1ab879053613"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wLD8PgKTQUP40NoPzkvt47V30ADn1Fdy85n0OWupJ8A/jpTFXefQ8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\n9eTJRtuc8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rUaZMB4n+481DWK4HYagF2k1qnJvDCiKb0ygzPVZyhTl1+xnUquwtfaB18b\nXzpYeeBh6YGHlTsdLD2wVFz5IW+qKjWV5NcWkFeXT35tPudr8zhTnU1OTQ46rvzAdbd0p7NNJ7rY\nB9PVviu+Nj7tMui6SJIk9hRk8X+pcRwoOg2Aq6UtD3WN4q7OfbBUmOYahHmVlfx3z9/rDjpaWvHU\ngEhm9uiJhQmuO3iRVqdjy9EMvt+2n5Sz+QDYWam4Z3AvZkb1xtXe9Ke8vZnEOYMgCIJwo0pKSnB1\ndeWPP/5gypQpLT7epEmT0Ol0rF27thWqEwRBEIS2JYKvK4Mpj4ICHli0CNvq6kbtcaNGsXv48Kvu\nd7U6RPB1JRF8ieDrciL4Ep1YeuWWlPNz7EH+2JNMrbrhBRbh78UDI/oTFdLZpEcwnCot4d1dcWw6\nmQFAB1s7nhs0hCkhochNtO782gq+SYtnWdZB1JIOGTDaK5SHQ6IIcfQ0dnk3TWl9KaeqT3O66gyn\nqk9zpuoMhfVFV93eycLxQhDmQQcrD1wsnLG3cMBBaY+DhT32Fvao5Fd+wLcmSZKo1dVSrq6gQlNB\nubqCcnU5RfVF5NXmk19XQH5tHlXaar37y5DR0coTP9tOdLbxw8/Wj042vtgqbdu0blMhSRLxeRl8\nmRZHYnHDiCNHCyseCB7MzMD+2Cjb9vlrrhq1mu8OH+Drg/upVqtRyuXMCu/Fk/0H4mRlup8p9RoN\n6w6m8uP2A5wqaJiO0cXOhtnRvbl7UE/src0nTL6ZxDmDIAiC0Bzh4eGMGjWKjz76qEXHqampwc3N\njf/+97889NBDrVSdIAiCILQdEXzpD6Z8i4qY89NPWNfWNmrfNm4c+6Kjr7qfCL4MI4IvEXxdTgRf\nohPrmoorq1myM5ElOxOpqGn4I+jS0Y35owYwqkewSa/5su/cWd6K38HR/Ib1gbq7e/BK1FAG+vga\nt7BryKku47sTO/n99GHUuoY/2OGeXXkkJJru7WwNMENVaio5XXWGnNpc8mvzL4VJBXUFV6wZpo+V\n3PJSGGZvYY+lXIVSZoFSrsRCprzwXwss5A1tCuRoJC1qSY1Gp0EjaVDrNGgkNWqdGrWkoVZbS4W6\ngnJNBRXqiiumJdTHUm7ZaMSah6UHvjY++Fr7mNXItdYiSRLbctP4Ki2e5NIcABwtrJkbPJCZAf2x\nt7C6zhGMQydJrE5N4YPd8ZyvqgRgdGAQLw6Oxt/J2cjVXV2tWsPyhCR+2nGQ/LKGur1dHLhvWF8m\n9QvDysI0R9SZCnHOIAiCIDTHo48+ysGDB9m7d2+LjnNx2sSzZ8/i7W3as3AIgiAIAojgC64eTHmd\nO8fsn3/GsknYsGniRA4NGiSCLxF8XdEmgq/GRPB1HRffgOc9/xNeni64udjh7mKPu6sd7q72uLvY\n4eZsh4WF6U5VdTNV1dazPCGJX+IOUVDeMB9tkKcrD48eaNIBmE6SWJPW0EmdW3mhkzogiBeHmHYn\ndX5NBd+n72LZqYPUahv+wKM6BPFI12h6u5pucHcz6SQdxfXF5NcVNIRhtfmUqksbj7zSlKOVrnzj\na20quQoHpQP2FvaXAjYXlTMdLhuN5qB0MOmRkjeLTpLYlHOcr1LjSStvCKVdLW25LyiS6QH9sDXR\nEV7QEKb/J34HyZeF6a9GDWWACYfpFwOvH7btp7CiYdRhkKcrDwzvx9heXVEq2u/0mTeitk5NQVEl\nBUUVFBRXkl9UQeFl/62squLXLx4WwZcgCIJwQ5YsWcK9995LaWkptrbNH83/6KOPsmfPHg4dOtSK\n1QmCIAhC2xHB17WDKd8zZ5i5cCGqJgHBX1OmkBoVZVAdIvi6kgi+RPB1uVs++Bo46W0UCv3rP8lk\n0NHDkc4+rpd+/Hxc6ezjgq3NrTdCA6BOrWHV/mN8t3U/50srgIZO1IdGDWB0eBeTDcBq1Gq+P3yQ\nrw7uuzQt2ezwXjxh4tOSFdZW8lNGAksz91OtbXiDGOjuz0NdoxjgZtpTTpoCSZKo0dZcGplVoamg\nTlePRqe+NJLr4siui//VSlqUF0eCyS1QyhpGhF38t4VMiaXCEnulPQ4XRpLdiiO2bpRGp+Ovc8l8\nnbaTkxUFAHhY2fNA8CCmde6DtdI01+GDhulT39sVz8aT6UDD9KnPDxrCZBOePlVf4NXNx4NHRg0k\nJjTAZN+r25IkSZSWV3PqbDGnsos4dfbvn6KSqmvuq9Wq2bP6FRF8CYIgCDfkzJkz+Pn5sW3bNoYN\nG9asY0iShJ+fH3PnzuWNN95o5QoFQRAEoW1c7HeNjIy8bvClr83Q4Ktpm6HBV0vCoJYETpfv63/q\nFHN++w2Lyzr2JZmMdVOnciwi4rr3aWht+rZryWNiSABpaPClr1/T0DZ9kYOhbYYEX4YGLoYGP/qO\nZ0h4dSPbNb3f1g65DK2tJY9J0zZDQy59bdcLPbVaLQkJCe03+Nq1P43Kas1lV3dXUlBcQWFRJUWl\nVeh0+st3d7Gjs68r/r5uhAR5EhbcEa8OjrdMEFGv0bBq/3G+3bKvUQBm6iPA8qsq+W/CLpYfT0YC\nnKyseLJ/JDN79MRCz5uyqSipq+aXk3tYdHIflZqGN5nuTl7cHzyIUV7dUOr58BAEU1ClqeePU4f4\n+eQecqrLAOho7cCDXYZwh19vLBWmO8VeeV0tn+/bw89HDqPW6bBWKnmoT3/mRfTFRs/JnynQF3iF\n+njw6JhIorv53zKfUVqtjqzsIo6n55J68jynzhZx+mwxZRU1ere3UCpwc7G9NOK76X/trBUEdO4o\ngi9BEAThhnXq1IkHH3yQf/zjH83aPykpiZ49e7J371769+/fytUJgiAIQtsQwZdho8CCTp5k1vLl\nKC/rtNfJZKyZPp3U8PBr3qcIvkTwdb37FcHXLR58XesXU6u1nD1fcqnDLCu7iNPnijhzrph69ZUP\nppODNaHBHQkN7khYl46EBHlib2ua69S0lqsFYI+MHshIEw7Ajhfk81Z8LAlnzwAQ4OzMy4NjGO4f\nYNIdw+X1tSzO3Meik3sprm/o1Pa1dWZuUCRTOvUy6VEzwq2lqK6KRSf3sjRzP2XqhkVbO9u5cn/w\nICZ16olKbrpBs1qrZWlyEp/s3U1JbS0y4I5uYTwXOYQOdnbGLk+vuguB1/dNAq9HRjeM8DLl97XW\nUFhcybH0XI6fyOVYeg5pJ/Ooqb3yRMvWRnXZ6O2GEdydfVzxdHe85ueVWONLEARBaK4ZM2ZQWFjI\npk2bmrX/22+/zSeffEJubq7eDiNBEARBMEUi+DJ8+sPuWVlM+/VXFJd1yOvkclbOmEF6WNhV9xPB\nlwi+rne/IvgSwdcN/2JarY7zBeVkZReRcTqf4ydyOZ6eS2n5lVeS+3m70L2rF33D/egb3glnx+bP\n7W7K6jUaVu07xreXTYHYzduDJ8YNYkiIaU7JJ0kSW7NO8vbOOE6VlgAQ6ePLK0NiCPPoYOTqrq1W\nq2bVmSP8mL6bM1UNtTurbJgZ0I8ZAf1xtrQxcoXCrep0ZTE/Zuxm1ekj1OkaPqx6ufgwL3gwwzp2\nNdmpAaHhPWHbqUze2RlLZknD31V/Lx9eix5KdxN9T1Brtazef5wvN+0hv6xhHcNuPh482s4Dr3Pn\nS9mfdJqDSac5diKX/KKKK7bp6OF44WIUTwI6uePv64qrs22zHhMRfAmCIAjN9eWXX/LCCy9QUlKi\nt5PpegYNGkRISAg//PBDG1QnCIIgCG1DBF83tu5Xt2PHuHP5cuSXdaNrFQr+mDWLzJAQEXyJ4Mug\n7UTw1ZgIvlqpE0uSJHLzyzh2IQQ7np7Licx81JrGD3pQZ3f6hfvRN9yPnqE+WFm2rxE69RoNK/cd\n45vNe8kvb1gzJSLAm6fGDSYiwNvI1elXr9Wy5OgRPtmbQFldw+iOO0PDeHag6Y7uuEgr6diSk8r3\n6bs4WpIDgJVCyZ1+vZkdOBA/OxcjVyjcCiRJIrH4LD9lJLA5J4WLb/rDPbvyQJdBRLh2Mmp9hmg6\nCtTP0YmXh0QzKiDIJMMjnU5i45ETfLFhN6cLSwHo6uXOY2MiGRrW/gKvsooaDiSd5kDSGQ4knSY3\nv6zR7bY2KroFdbxs1LVnq15oIoIvQRAEobmOHj1KeHg4Bw8eJKLJeh3Xk5+fj6enJ3/88QdTpkxp\nowoFQRAEofWJ4OvGgi+A7klJTFmxAtllXekapZLl997L+Qsjv5pTmwi+RPB1o/vdyL4i+DJBN6MT\nq16tIeNUAYnHstmfdJojKeeor//7ybNQKugR0jAaLDIigKDO7u2ms7JWreG3XUf4bus+SqsbpjmL\n6ubPk+MGEeLtYeTq9CutreHzfXtZmPT3ej7z+/TjwYh+Jruez0WSJLG/6DTfn9hNXF46ADIgqkMw\nswL7M9gj0KRH2gjmqU6r4a+zySzK3Mex0lwALOQKbvcN576gSAId3I1c4fXlV1XyUcIufr+w7p+j\npRVPDmhY909lguv+SZJEfOopPl2/i7ScAgD83Jx4fOwgRvfsYrLTy94ojVZH0vGz7E08xf6k06Rn\n5XH52YS9nRV9enSib49O9Az1wc/btU1/dxF8CYIgCM2l0+lwcXHhjTfe4Mknn7yhfX/++Wfmz59P\nYWEh9vb2bVShIAiCILS+i9+h+vXr1yjw0Nfv2ZIwrGngYmjwpS/QMTT4udFA60b2jUhM5I4//2x0\ne72FBcvuu4+z/v7NOn5LQj5DH8+mz42hwZehYZihDA25DAm+9AUphgQ10LIwqDXbWjvk0redob+X\nvu0MeTwNDSANfZ4vf43odDr2798vgq/WUFevITkth/1HTnEg6TRpmY078jp6OBIzMJiYAcGEdfFq\nFx2YlbV1/BJ7iJ9jD1Jd1/ACH9e7K0+MHYSvm5Nxi7uKU6UlvLcrno0nGwIkT1s7Xhgcxe1du5lF\neHSiPJ+f0xNYd/Yo9bqGN4LOdq7MCujP5E49sbW48sNYEG5Efk0FS7P2syzr4KW15pxU1kzrHMGs\ngAF4WJt+x0ytRs33hw/y5YF9VKvVKOVyZof34on+A3GyMs1g43DWOf63fheHMs8B0MHRjkdGD+T2\nfqFYmGBId6Pq6jUcPHqa2D3p7Nx/krKKv6cPVlko6BHiTd9wP/qF+xHs74FCcfPWORHBlyAIgtAS\nEyZMwNbWlmXLlt3QftOmTaO8vJyNGze2UWWCIAiC0DZE8NX8UWCDEhMZ3yT8qlOp+O2BB8jp9PeM\nOiL4upIIvkTwdb02EXzdJOUVNRxKzmZv4il2HciguLT60m2uTrZEDQgiZkAwvcN8USrNu1OzuLKa\n77bu59ddR1BrtSjlcu4c2INHRg/E1d4016Pad+4s/4nbTnJBPgDhHTx5NSqGfl4+Rq7MMCV11fx+\n+hBLM/eTW1MOgJ3Skjv8ejEzoD+dxDSIwg1KLD7LopN72XjuOBqp4cOjm6MnswL7M96nO1YK0x4Z\nCaCTJNaeSOWD3fHkVDSsCzUqIJCXhsTg7+Rs5Or0O3m+iP/9uZMdxzMBcLKxYt7I/kwf1BNLixtf\nK8SUVNfUk3Aok7i96ew+mElN7d8nQr5ezgzpG0j/Xp3pEeJt1KmBTeGcQRAEQTBf77zzDp999hnn\nzp0zuDOnvr4eNzc33nrrLZ544ok2rlAQBEEQWpcIvpoffKlUKgbs3s2YJhe+1FpZsXTePPK8vW/o\n+CL4EsFXc44lgq/rE8GXgbRaHcfSc4ndc4K4venk5pdfus3ezorBfQMYOaQbfcP9UN7Eq9xbW25J\nOV9sTGDtgRR0koSNpQUPDO/H7OgIrFWm12mukyRWpBzjg907KahuWLNsbGAwLw6Oxs/JybjFGUij\n07EtN5VfTu7lYFHD+kUyIMazC3d17kNUhyCUej5oBAGgWlPPhnPH+C3rIEklDSONFDIZo7y6MStg\nABGuvmYzReuBnHO8Fb+DI3nnAQhxc+e1qKEM8jXNNcgKy6v4YmMCK/Ymo5MkrFUWzImJYO7QPthZ\nme/IzZraeuL2ZrBtdxr7j5yiXv33CUsXfw+iL4x87uzjajKvLVM7ZxAEQRDMS3x8PNHR0Zw8eZKA\ngACD9tm6dSsjR468oX0EQRAEwVSI4KtlwRfA4Lg4Rmzd2ui2GmtrlsyfT4Gnpwi+9BDBlwi+rtcm\ngi8jkySJ9Kx8YvemE7c3nazsoku3uTjZMCqqG2OHhhHc2TTXyjJExvlCPl63k7iULAA8HO14fOwg\nbu/bDYUJhjBV9fV8c2g/3x46QK1Gg4Vczuzw3jzRfyCOVlbGLs9gx0tzWXxyX6NpED2s7Jni14s7\n/Xrja2uaI16Em0uSJJJLc/j91CH+PJtMlabhA8vRwpq7/COY7t8PLxtHI1dpuNOlpby3K44NF6Yv\ndbex5ZnIwUztFmaS7zfVdWp+3nGAH3ccpKZejUIu484BDSNk3RxsjV1es2i1Og4fy2ZD7DFi96Rf\nGtklk0GPEG9iBgQT1T8Irw5Oxi30Kkz5nEEQBEEwfbW1tTg6OvLtt98yZ84cg/ZZsGABmzZt4tix\nY21cnSAIgiC0PhF8tTz4AojZto2Y2NhGt1fZ2bH4wQep9LlyRioRfIng63Ii+BLBl8l3Yp05V8y2\nhDQ2xh4nO6fkUntgJzfGDA1jTHQors7m2Rm6N/0MH62LJ+Vsw3SCXTq68ezEaAZ19TNyZfqdr6zg\no4RdrEg5hgQ4Wlrx5IBIZvXoaVZr7BTXVbHidCK/nzrE6ariS+0D3f2Z2jmCUR1DUCnMewo14caV\n19eyJvsIv586TFp53qX23i6+TO3c22ymM7yovK6Wz/bt4Zcjh1HrdFgplTwY0Zf5Ef2w1XPiZ2xa\nnY5V+47xxcYECsobRpgODQtgwYQoAjqY59Skp84W8df2Y2yKO05BceWl9h5dvRgdHUr0gGCz+Pwy\np3MGQRAEwTQNHjyY0NBQvv322+tuK0kSwcHBTJ06lXffffcmVCcIgiAIrevid6jw8PBG4YahQYeh\nwUnTEKYl4U1LRlC1ZhjWaD9JYsy2bUTt2dNomwp7exbPn0+pm9t1j9+SkE8EX421JPhqSWjU3LCq\ntUOulrQ197HTt40hzx9c//Wg0+lISkoSwZcpkCSJ4+nn2RB7jK07UymvrAVAIZcxoLc/44aFEdUv\nyOzWA9PpJNYfTuXTv3aRW9Kw5k5UN3+emxhFQAdXI1en37H8PN7eGUfC2YapAwOcnXk1aijDOpvX\nNCSSJHGg6Ay/nzrExnPHqdM1vJk4q2yY4teLqX4R+Nub5nMgtA5JkkgsPsuyUwfZcO4YtdqG14CT\nyprJnXpyp18EQQ7uRq7yxmh0On5NTuLjPbsoqa1FBtzRLYxnIwfjaWdv7PL02nPiDB+sieVEbiEA\n3X078OzEaPoGmseagperrKpjy84U1m8/xvH03EvtHT0cGRsTyujoUHy9zGt0qTmeMwiCIAim5cUX\nX2TNmjWkpKRcd9vU1FS6detGfHw8Q4YMuQnVCYIgCELrEsFXKwVfAJLExK1bGbB3b6PmMicnFs+f\nT7nz39+vRfAlgq/W2K+ldYjgy8jMvRNLrday+1AmG3YcY/fBTLTahifN1cmW20eFM2l0T9xc7Ixc\n5Y2pU2tYHH+Yb7bso6quHoVcxrTIcB4bE4mTrek9R5IksS0rk7d2xnKqtGEkXlQnP14eEkOIm3kF\nBQBl9TWsyz7KslMHOVGef6k93Nmb23x7MM47DDcr83pNCVeXVVHEurNJrMtO5kyTUX/TOkcw0kxH\n/cWeyuKdXXGcKGoIkPp7+fBa9FC6e3QwcmX6nS4o4cM1cew4nglAR2d7nh4/hLG9uiKXm8b6VobK\nPFPAir8S2Rh3/NJUhjbWKkYM7srYmDDCu3mbzJpdN8rczxkEQRAE41u3bh0TJ04kPz8fd/drf1f4\n8MMPeeedd8jLy9PbuSQIgiAIpk4EX60YfAEqCwsmrF1Ln4MHG7WXuLiweP58Kh0dr3p8EXyJ4OtG\n92tpHSL4MrL21IlVUlbN5vgU1mxO4tTZhvXAFAo50f2DuGNcb3qF+phVZ2NRRTX/tzGB3/ccRSdJ\nONpY8diYSKZFhqNUmN56PPVaLb8cOcxn+/ZQUV+HXCZjWmh3FgwchIet+QVFkiSRVHKOZVkH2ZBz\nnOoL6zspZDIi3QOY6BvOCK8QbJWmN1WccG0FtZX8dTaZdWePcrQk51K7m6UdkzqFM61zH/zszHNK\nvZTCAt7dGUv8mdMA+Dg48NLgGMYFBZvk+19FTR3fbNnLovjDaLQ6bCwteHBEf2ZFR2BlYT4dXBqN\nlti96azckEji8bOX2nuH+TJxZA+iBwRjZWk+02NeTXs6ZxAEQRCMo7i4GFdXV1atWsWkSZOuue3Q\noUPx8fFh0aJFN6k6QRAEQWhdIvhq5eBLpQKdjttXr6ZXYmKj24rc3Fgyfz5V9vYi+BLBV6vs19I6\nRPBlZO2xE0uSJA4fy2bFhkTi96aj1TU89P6+rtwxtjdjYkKxsTafsOJEbiHvr9rB3oxsAII8XXlh\nUgyRXUxz/a/immo+3ZvAkuQkNDodNhYWzI/ox7yIvtjo+fAwBzUaNdvOp7Eu+yg78zLQSA1vDtYK\nC4Z37Mptvj0Y7BGIhdy8pte8lVSp69icm8q67KMk5Geio+F9wVapYrRXKLf59mCAe2cUMtMLlQ2R\nX1XJfxN28XvKMXSShL3Kksf7D2BOeG8sTfAKaa1Ox+r9x/lk/S6KK6uRyWByvzCeHDcYNwfTX+vq\nosKSStZsTmL1piMUlTSsR2ZtZcHYoWFMGdOLgE5u1zmCeWmP5wyCIAjCzde9e3fGjRvHBx98cNVt\nSkpKcHd3Z9GiRUyfPv0mVicI11dWoybhZCFJ58o4WVBJTb0Oa5WcQHc7wr0diQx0w9HaPL/7CoLQ\nukTw1QbBFyDT6Zjyxx90T05udHtBhw4sefBBtM5XLisggi8RfN3ofi2tQwRfRtbeO7HyiypYs+kI\na7YkUVxaDTRMOTV+WHemT+yDp4ejkSs0jCRJbEs+yQdrYjlXXA7AsLBAXpgUg4+raf4OmSXFvLcr\njs2ZJwHoYGvHc4OGMCUkFLkJjjwxVEldNRvOHWNd9lEOFWdfanewsCK6QzAjvUIY0iFIjAQzAUV1\nVWzNSWVrbhp7CjKp1zW8+VvI5ER1COY23x4M69gFK4X5fimtUav57vABvj64n2q1GqVczswePXmi\n/0BcrG2MXZ5eiVk5vL1qOylnG6YS7dW5Iy9NHkqYr6eRKzNcasZ5lq7Zz4496Zem2O3s48KUsb0Z\nGxOKrc2VJ+jtQXs/ZxAEQRBujocffpgjR46QkJBw1W1+/fVXZs2aRUFBAc56Oq8EwRgy8iv4Oi6T\n1Yk51Gt1WChkqLV/d/Vc/LdKIWdSLy8eig4kyMP8Zj8RBKH1XPwOFRIS0ijc0Bdq6GszJFzR16Zv\nP32BjqFtxgjDrreNXKtl+ooVhJ440WibXE9Pfp0/n7om31kN/b0MfexE8NWYvvBK33amEnzdjJBL\n3+9laFvTx07f82Doc6Pv9XB5m06nIzU1VQRf5kqtbpiGasWGwySlnAMapkEcFRXCrCkD6OzjauQK\nDVOn1rAw7hDfbNlHTb0aS6WCB0b05/5hfbE00WnB9pzN5u34HSQXNHRyh3fw5PXoYUR09DJuYa3g\nbFUJf55NZl32UTIqCi61W8qVDPYIZKRXCEM9u+BsaZoBRHt0rqqUzbkpbMlJ5VDRGS6+8cqACNdO\nTPTtwWivULN/TiRJYn36Cd7ZFUtORQUAowICeXFwNAHOpjlNY1FFNR//Gc/q/ccB8HC045nbohjf\nu6tJTsPYlCRJHE7OZuHKvew/0jCVpEIuI6p/EHeM7U3v7r5m8Xu0xK1yziAIgiC0rUWLFnH//fdT\nWlqKjY3+c7KZM2eSk5PD9u3bb3J1gnAljVbH1/GZfLy5oXNVo7t+947ywjq1C0Z14aGoAJNcrkAQ\nhLYngq+2C74AFBoNs1asIDg9vVF7jo8Pvz7wAPVWVpfaRPAlgq9rbdPS+xTBlwm6FTux0k/ls3T1\nfrbuTEWrk5DJIKp/MLPv6E+3oI7GLs8g+WWV/HddPH8eSgXAx9WRl6cMI7qbv5Er008nSaxKPc77\nu+PJr2qYDuy2Ll15YVAUPg6mOWLtRp2qLGJbbhpbclI5fNlIMIVMRj+3zoz0CiGmQzA+tuKK1dak\nkyTSyvLYcf4Em3NSSCk7f+k2C7mCQe4BlwJIN6v2cbVl4vlc3orfwcHchvXJQtzceT16GAN9fI1b\n2FVodTqW7U7isw27qaipw0KhYO7QPswb0R8bM1j3SqeT2H3wJAtX7OXYiVygYTrDyaN7Mu22Pni4\n2hu5wpvnVjxnEARBEFrfqVOn8Pf3Z8eOHcTExFxxu0ajwcPDg1dffZVnn33WCBUKwt9q6rU8uPAA\nu08WYkDedQW5DAYFuvHt7L5Yq8TU+IJwqxHBV9sGXwDWMhn3LFlCQGZmo/ZsPz+W3Xcf6gvHEcGX\nCL6utU1L71MEXyboVu7EOne+lKWr97N+ezL16oYXSt9wP2bfMYAIM7lyf//Js7y9YhsZ54sAGN49\nkBcnDcXLxcHIlelXVV/P/x3Yy/eHD1Kv1aKSK5jbqzeP9huAg6XV9Q9gJvJrK9iWm8bmnBT2FZy6\ntCYYgI+NE5EeAUS6BzDQ3d/sRx4Zw9mqEhIKskjIz2RPQRYl9dWXbrNRWBDt2YVRXiFEdwjGzqL9\nTDmXXVbGB7vjWZeeBoCLlTXPRA7m7rAeKPScJJmCpNO5/GfFtkvTGg7u6sfLU4bh5276AbBGq2Pb\nrlQWrthLVnbDe6yjvTXTJkRwx7jeONi1n/csQ93K5wyCIAhC65EkCV9fXx5++GFee+21K26Pj48n\nOjqa1NRUunbtaoQKBaGBRqtj7k/7ScgsurR2eHMo5DIGBbry4739xMgvQbjFiOCr7YMvlUqFRX09\nMxYtwu/06Ua3nQ4IYPncuWgsLETwJYKva27T0vsUwZcJEp1YUFhSybK1B1m5MZGa2oYXWrdgT+69\nM5LBfQNMPgBTa7Us2ZnI/21MoLpOjZWFkodGDeDemD5YKE3zirJz5eV8mLCT1WkpADhbWfHkgEhm\ndO+JhZ4PBXNWVl/DjvMn2Jabxt6CLMrUtY1u7+boSaS7P5EeAUS4dsJGrA12hZK6avYWNgRdCQVZ\nZFeVNLrd09qBQR4BjOzYjUEeAVgqTHPaz+Yqq63l/w7s5efEw9TrtFgqlNzfO4KH+vTHQc+JoCko\nrarhk/W7+GPvUSQJPJ3seXFSDCN6BJn+e6pay5/bk1m8ch+5+WUAuLvYcc+kfkwc2QNrq1v3b1Sc\nMwiCIAitZfr06ZSWlrJhw4YrbnvxxRdZsWIFJ06cMPnzBqF9+2JHBh9tSmvWSK+m5DJ4bnRXHh0a\n1PKDCYJgNi5+hwoICNAbblzOkEAL9IckTUMYfaGMvjZ9wc/NCL4MCcNuJPgCUNXVMXfpUjqdO9fo\n9oygIH675x7ker7DmnLw1dpu5eDrZoRcLfm99D1OTdv0bWPI83e1tqbHyczMFMFXe1ZeWcuKvw6z\n/M9DlFXUANAtyJP5M6Lo19PPyNVdX15ZJR+uiWVDYsO84/4eLvxj6gj6BfoYubKrS8o7z9vxsezL\nOQtAZydnXhkSzQj/wHb5JVcr6UgpPU9Cfia7CzI5VHSGet3fbz5KmZwujh0Id/amp4sPPZ196Gzn\n0i4fi6tR67ScKM/nSPFZjhSf5WjJObIqixptY29hyQA3/0sj59rrY6TR6Vh8NJFP9iZQWtsQmE4J\nCeWZyMF425vmqE5Jkli9/zgfrY2jtLoWpVzOnJgIHho10OSnNdRqdWyIPcaPyxI4X1AOgE9HZ2ZN\n7s/omG6oTHQdxZtJnDMIgiAIreXzzz/nlVdeoaSk5IpOobCwMEaPHs3HH39spOoEATLyKxj7SbxB\n63kZSimXseGpaII82scU7IIgXJ8Ivm5e8AVgVVvLfYsX433+fKNt0rp2ZdWsWeiaPJ4i+BLBV1u2\nieDLyEQn1pVqautZszmJRSv3UVLWMIVa33A/Hp4ZRUiQp5Gru76EE6d5e8V2ThU0jIq5o393npkY\nhaONaU7LJUkSW7NO8s7OOLJKG2qO6uTHP6KHEeTiauTq2latVs2homz2FGSSkJ/FsdIcmr5ROFpY\nE+7SEIT1cvYhzNkLJ1X7+FuVJIn82gqSSs6ReCHoOlaaQ6228Zu5hVxBH9dOl0bGhTp1RCFr31OE\n7Mo+zZux2zlR3BD6DfT25eWoGHp4dDByZVd3prCUN5ZvYW9Gwxp3/YN8efWOYQR0MO2/Y0mS2Ln/\nJF8vjufU2YbHu7OPK/fdFcnQgV1QiOloLhHnDIIgCEJr2bX/MKNmPcYjr75DpdyWmnod1io5rhYa\n/vf6M/z2yRtMHDvS2GUKt7Dnfz/CysPnWj34uqO3N+9P7dlqxxQEwbSJ4OvmBl8A1tXVzFuyhA55\neY3aU7p3Z/XddyNd9piK4EsEX23ZJoIvIxOdWFdXU1vP7+sPs3jlPiqrG/5AhkV24cEZQ+jk5WLk\n6q6tXqPh+637+XbrftRaLa72Nrw0eShjenYx2ZExaq2WxUeP8L+9uymvq0Mhk3FP93CeHDAIN5tb\nYx2sKnUdx0pzLwuCsimsq7piOzdLW/zt3QiwdyPAzo1Ae3f87d3oaO1gks+vRqcju6qEzIoCMisL\nyaxo+MmqLKRCfeWHTydbl4YRby7ehDt709WhA6p2Nn3h1WQUF/Huzji2nWpYlLWTgyOvRMUwKsB0\npwhUa7X8vOMgX23aQ51Gi5ONFS9MiuG2Pt1MtuaLEo9l89XieJLTcgDo6OHAvOlDGDkkRAReeohz\nBkEQBKGlMvIr+Douk1WJ56jX6FDIQMff5wtyJLQSqJRyJvfy5qHoQDE6RrjpymrU9HtrC/XaKzuU\nWkqlkLP/1ZE4Wpv2bAiCILQOEXzd/OALwKm+nnt//BH3wsJG7cm9erFu6lSkC4+hCL5E8NWWbSL4\nMjLRiXV95RU1LFq5j9//Okx9vQaFXMZtI8O5b1okbi6m/SUsM6+Ify/fwqGshk7doaEBvHrHcDyd\n7Y1c2dUVVVfz3z27+O3YUXSShJ2Fiof79uf+3hFYKW+tLweSJJFTU3Zp2r/E4rOcKM+7YkTURTYK\nCzrbu+Fj44S7lR1uVna4WdrhbmWPm5Ud7lZ2uKhsUbbiB2q9VkNBXSWFtQ0/F/+/oLaCgtpKzlSV\ncKayCLWk/0ujg4UVoU4d6eXic2l6R2fLWyPovFxBdRWf7E3gt+QktJKErYUFD/cdwLzefbDUczJl\nKpLPnOdfy7eQllMAwMQ+3Xj+9hic7Uz78yTjVAFfL44j4VAWAE4O1sydFsmkUT2xsGhf6wy2JnHO\nIAiCIDSXRqvj6/hMPt7cMC27IaNolPKGQGzBqC48FBWAUlyUItwkG5JzeXjxoTY7/lczIxjbvWOb\nHV8QBNMhgi/jBF8qlQq78nLm/vgjLsXFjW5L7NuXvyZPBrlcBF8i+GrTNhF8GZnoxDJcflEFPy7b\nzZ/bktHpJCxVSqbf3peZk/tjY33lG6Wp0Okkft97lI/XxVNZW4+NpQVPjx/C3YN6Ipeb7miME0WF\nvLsrjh2nGjqmO9rZ81zkECaFdENu4qNI2pJOksitKft71FRFIScvjJ4q0jM6rCkZ4KyywdbCEpVc\niaVCiWXT/yqUKGUK6nUa6rQa6nQa6i/8t077d1ulupYyda1BdXe0diTQ3u3vkWoXRqu5Wtqa/Kig\ntlSjVvND4kG+OrCPKrUauUzG9O7hPDUgEncbW2OXd1XVdWq+2LibRXGH0UkS3i4OvD51JIO6mvZ6\niPlFFXyzJJ6NsceRJLC2suCeSf2YPrGvSb+Pm4qqqirs7OzEOYMgCIJwQ2rqtTy48AC7TxbSnFnj\n5DIYFOjGt7P7Yq0SF6gIbe/9jal8G5+JWtv63TgWChnzowJ4fkxIqx9bEATTc7Hf1dfXt1G4oa8f\nxNBARF+Y0tzgy9CQy9DtWhJWNd23NYI1x7Iy5i1ciHNZWaPb9/Xvz4bx47Ew8Hc19PFszeCrJX1l\n+mKItg6+DA3DWjvkMqStJcGXofsa+nsZGhAaEnzpe24MfZ4vf43odDqys7Pbb/A1e+y7ePt60MHL\nCU9vZzx9XBr+6+2Mo8ut3THd1OmzRXyzZCexe9MBcHWy5eHZ0YyNCTXpxymvrJJ3Vm5n69EMAHp1\n7sgbd4/G38O0p23ceeY07+yMJaWwYURJmLsH/4geRn9vHyNXZnpK62vIqigkt6asYQRWXSUFF0di\nXfh3cV3VFeuItYRSJsfV0vbSqDK3Rv9vh7etE/52rtgoRahwOUmSWJ2Wyvu74jhfVQnA8M4BvDg4\nmmBX014Ta8+JM/xr+WbOFZcjl8mYHR3Bo2MisbE03RGZdfUalqzax6KV+6ir16BUypkyphdz7hyI\ns+OtN8LwarRaHcUF5Zw/W8L5cw0/eRf+m59bSlVVDSt2/VMEX4IgCILBNFodc3/aT0JmEdoWrJWk\nkMsYFOjKj/f2EyO/hDb30KIDbDyWd/0Nm2lMWAe+ntW3zY4vCILpEMGXcYMvAOeSEuYtXIhjRUWj\nbRIiI9lx223Q5LkQwZcIvpqzrwi+TNDFN+CRYS+gkOvvtLSyVtE5uANB3bwI6taRoG5e+AV5YGFh\nutNv3QxHU8/x6U/bSUk/D0B4N2+efXAkgX7uRq7s2rYkpfP2yu0UlFdhqVTw9IQhzBjS26RHf2l1\nOlalpfDR7p2XQoKJXUJ4aXA0He1Nd9pGU6TR6Siur6JWo740kqv2stFcF0d5qXVaVAoFlnKLS6PA\nLOVKVBf+a6VQYqNU4aSyuaVH4DVHcn4e/47dxsHchilIw9w9eHlIDIN8Oxm5smurrlPz8Z/x/Lrr\nCAAhXu78665RhPl2MHJl15ZwKJP/fb+Nc+dLARga2YVHZkXj7elk1LqMraa6jsy082Sk5Fz4ySU7\nswCN5upD4HWShs3J74ngSxAEQTDYFzsy+GhTWrNGejUll8Fzo7vy6NCglh9MEK5hzg/7iEsvaLPj\nxwS78/P9/dvs+IIgmA4RfBk/+AJwKypi3qJF2FVWNmrfNXQocaNHN2oTwZcIvpqzrwi+TNDFN+DU\n5FOUFdc2XN3d5ErvyoorpzJTKhUXwrCGICw41Jugbh1RKG+tqSd0OomNscf4v4VxlJRVo5DLuHN8\nBA/cPQhbmyvf7E1FeU0t762KZc2B4wD0DfThzbtH4+PqaOTKrq1Grebrg/v5+uB+6rQarJRK5vXu\ny/w+/bDT80EnCKYkp6Kc/ybsYmXqcSTA1dqGFwZHcWe3MJMPDw9nnePVpRvJLipDqZDz8KiB3D+8\nLxZ6TuJMRW5+GZ/+uJ34fQ2jXP19XVkwbwQR3U07YGwLtTX1pB09S/rxnEtB17nTRXpPhp1d7ehw\nYcS3p7fzpf/v4OWEraMKJycHEXwJgiAIBsnIr2DsJ/EGredlKKVcxoanognyMO21lgXzJkZ8CYLQ\nWkTwZRrBF4B3aSlzfvwR2+rqRu2xI0eye/jwS/8WwZcIvpqzrwi+TJAha3yVl1ZzMjW30VXh504X\nXrGdja0lPfp0pueAAHr1D6BzcIebsjifKaioquX7X3exYkMiOp2Eq5Mtj80dyqghISY9/eG25JP8\ne/kWiiursVZZ8Nzt0Uwb2MOkawY4W17G2/GxbDh5YbpJaxueHjiIu8N6oLxFXnOC+aioq+Org/v4\n4fAh6rQaLORyZof35skBkTjoOSk0JXVqDZ9v2M3PsQeRJOjS0Y237hlDiLeHsUu7qnq1hqWrD/DL\nH3uoq9dgbWXBA3cPZur43ihvkYsz1GoNaUlnSdyXyZF9maQcyb5iJJdCKadzUAcCL1zAEtTNC//g\nDlhf46INsS6oIAiCcCOe//0IKw+fa/Xg647e3rw/tWerHVMQmhJrfAmC0FpE8GU6wZdKpaJDbi5z\nfvoJ69rGgzy2jhvHvqgoQARfIvhqTARf12fWwZc+VZW1ZF02RVJKUjbnThc12sbR2Ybwfg0hWK8B\nAXh1cjX5QKWl0rPy+ejbLSSnNUxh1ivMh+fmj6Kzj+mu2VNSWcNbK7ax8cgJACK7dOKNu0bj6Wz6\nUwgeyDnHuztjOXQ+F4BAZxdeHBzFCP/Adv9aE0yfWqtlaXISn+5NoLi2BoAJwV14LjIKPycn4xZn\ngKNnzvPq0o1k5Rcjl8l4YHg/Hh49AJWekztTsf/IaT76dgtnc0sAGDkkhMfvHYqbS/u+Klyr1ZGZ\nlkvinkwS92WSfOgUdbV/n0zJZDICQzrStbtPw0jtUC/8gjqgUt3YcymCL0EQBMFQZTVq+r21hXrt\nlV+0W0qlkLP/1ZE4Wpvu+qKCeduQnMvDiw+12fG/mhnB2O4d2+z4giCYjovfoTw9PRv1UxkafOkL\nTgwJU/SFMoYGWoaGXIYez8rKqlnH0xei6Tu+oWHbxX29c3K4b/FirJqEEn+NH8/+AQMMDggNCb4M\nfU6NFXwZEpwYGnwZGui0JDTSF0Lp27fpdoaGXLW1V85615KgriXBX9PHztDnz9Aw7PLXiCRJnD9/\nXgRf11JwvpQj+7JI3JdJ4t6TFOaVN7rdw8uJqFHdGTounKBuHdttMKHTSfy1I5kvF8ZRWl6DUiln\n7tRIZk3pb9KjDTYcTuOtFdsora7FzkrFK3cMZ2KfbsYu67okSeKvjHQ+2B3P6bJSAAZ6+/J6zDBC\n3Ex7vTWh/dpxKos347aTVdoQwPT18uaVITH08jT9L7garY6vNu/h2y370EkS/h4u/Gf6aML9TLf2\niqpaPv1hO3/tOAZAZx8Xnpk3koge7XdaQ61Gy5H9WezYkETCthQqymoa3d4p0INeF0Zg9+jrj71D\ny4MqEXwJgiAIhhLBgWDORHArCEJrEcGX6QVfAJ2ys7l36VIsm4QQaydO5OjAgQbdrwi+GhPBlwi+\nTE5bdWJJkkTOmaJL0ywd2ZdJWcnfc6h6+7kxdGwPYsb1oFOA6U6Z1RLllbV8uTCOtVuSAAgJ7MCr\nT4zD39fNyJVdXWF5FW/8vpXtx04CMLFPN169Yzi2Vqa/fla9VsuSo0f4bF8CJbW1KGQyZof34qkB\ng3DU8yErCG3hTFkp/4nbwZashr+hzk7OvDQ4ilEBQWYR9p8rLuPFRX9x5HQuMhncG9OHx8YOwsrC\ndEd57T2cxbv/t5GC4kpUKiX3TYtk+sS+WFiY7oUGzaXT6TieeIbYDUeJ35RMaXHVpds8vZ3pNSCA\nnv0bflzcWn/Urgi+BEEQBEOJqeIEcyem6hQEoTWI4Ms0gy8A/1OnmPPbb1hcFjBIMhlr77yT5N69\nr3u/IvhqTARfIvgyOTerE+tanXX+XTwZOq4HMWN64Onj0mY1GMvBo2d454sNnC8oR2WhYN49Q7j7\ntj4oFKa5FpUkSazcd4x3V22npl6Dr6sj788aT/dOnsYuzSDldbV8vGc3C5MS0UkSTlZWPNZvILN6\n9MTShKdoE8xbSU0Nn+/fw6KkRNQ6HXYWKp4cEMm9PXtjoeekxhRtOJzGG79vpaK2Dg9HO96dMZZ+\nQb7GLuuqqmvq+eKXWFZvOgJAWJeOvPrEODp5ta/PEUmSyEjJZcdfScRtPErB+bJLt3n7uTJ0bDjR\nY3vgF9j2F5GI4EsQBEEw1EOLDrDxWF6bHX9MWAe+ntW3zY4vCBn5lYz9JK7Vg68NT0UT5NG+p+EW\nBOFvIvgy3eALoNuZM9y9ZAnKy8ICnUzG6rvvJqVHj2vuK4KvxkTwJYIvk2OMTiytRsuRA1nE/nWU\nXVuOUVnx94uqe4QfE6b1Z/CosBtee8SUVVXX8fnPO1i75SgAPUK8efXxsfh0dDZyZVeXmVfEC4v+\nIi2nAKVczpPjB3NvTB/kctMftQKQUljAf+K2k3A2GwBfB0eeGzSECcFdkZvByBvBPNRpNPx05BD/\nt38fFfV1yIA7uoXx/KAheNiaxxfa6jo1767azsp9DdMEDgsL5I27R+Fka7rBxuFj2bz9+QZy88uw\nUCqYd89gpk/sa7IXFDRHRXkNW1YfZv3v+8nOKrjU7u7pSMzYHsSMvfnTBovgSxAEQTDUnB/2EZde\ncP0Nmykm2J2f7+/fZscXBIAvdmTw4cY0WqMzRy6D50Z35dGhQa1wNEEQzIUIvkw7+FKpVHRJS2Pa\nr7+iuCwc0MnlrLjnHk6Ehl51XxF8NSaCLxF8mRxjd2LV12s4tDuD2A1JJGxPpbam4Yl2dLZh9OQ+\njJvaFy9f15teV1tJOJjJu19upKikCitLJY/MjmHKmF4mGybVqTV8/Gc8i+MTAYjs0om37hmDu4N5\ndOhLksT2U1m8tyuO9OIiAMI7ePLy4GgG+JjuSBbB9OkkidWpKXy0Zyc5FRUADPH146Uh0YS6m8/0\nrann8nl+4XpOFZSgUip4/vYY7h4UbrLTMtbVqfl6yU6W/3kQSYIu/h689uQ4Ajq1j/X8JEki7ehZ\n/ly+j9gNR6mvazjRcXKxJXpMD4aOCyck3EfvSfHNYOxzBkEQWk9ZjZqEk4UknSvjZEElNfU6rFVy\nAt3tCPd2JDLQTaw/I7SIGPEltAcZmVmMeOMPZB26gLz5szgo5DIGBbry4739ULajC7UEQbi+i9+h\nXF1dG33PNjToMDT4atqmL5Rp7TDM0MCpuQGWocdvSdvFOsJSUrhrxQrkl3XfaxUKfrvnHjKCgw1+\nPJs+D4aGXDfjO76+8MOQMMXQ4MvQMKwlQZKhbU2Dr+YGZoYe/2rHa27Ipa/N0JBLX9v1glBJkigq\nKhLBV1uqrqpjx19J/LlsHydTcy+19x0czB1zBtN7YKDJdsbeiPKKGj7+fhub41MA6NfTj9efGo+z\no62RK7u62OOZ/OPXTZRU1eBiZ807M8YxqKufscsymEan44/jyXy8dzf5VQ3TbI4KCOS1qGH4Ojoa\nuTrB3BzKzeFfO7aSXJAPQIibOy8PjibKr7NxC7sBkiSxdNcRPlwTh1qrJcjTlfdmjadLR9Ndg/Dk\n6QJe/2gtp88Vo5DLmDN1IPfeORCl0jymkrwWtVpD3MZkVi7cTUZKzqX2iEFB3HZXfwZEd0VhAr+n\nKZ0zCILQPBn5FXwdl8nqxBzqtTosFLJGazBd/LdKIWdSLy8eig4UU3IJzSLW+BLMXXZ2NjExMdg5\nuhD60P/Yd6aM5sx6KJfB4CA3vpnVF2uV8c/nBEG4uUTwZR7BF0D40aPcuXo1lz8zaqWSX2fOJLtL\nlyv2FcHX9dtE8CWCL6MyxU6si1e8r1u2j7iNf1/x3jm4A3fMGcyw8eFYWJj/NIg7Ek7w4TebKS2v\nwd3FjjeenUiPEG9jl3VV+WWVvLJ0A3vTs5HLZDwxbhD3D+tnsqPV9KlWq/n+8AG+ObifKrUaS4WS\nR/v158GIvlgpxVXNwrUVVlfzwe54lh9PBqCjnR3PRA5hctduKIw0Aqc5aurVvPH7FtYdTAXgrshw\nnrs9GmuV6f4N/LU9mQ+/2UJdvYbOPq689uQ4QgLNY93Ba6kor2H98n2sWbqHovyGkYMOTjaMnhzB\n+Gn9TG7EsymeMwiCYBiNVsfX8Zl8vPlEw78N6L1VXjjHWzCqCw9FBYhRCsIN2ZCcy8OLD7XZ8b+a\nGcHY7h3b7PjCre3cuXPExMRgZWXF9u3bcXZx5Zv4TP7bjPfQZ0Z1Yb54DxWEW5YIvswn+AKISExk\nyrp1jdrqLSz4be5csjt3btQugq/rt4ngSwRfRmXqnVjlpdWsX76P1Uv3UFJYCYCHlxMz5g9l5MTe\nKC3M+4qpwuJK/vHRWo6mnkOhkPPYnBimTYgw2ZFtWp2Orzbt4avNe4GGtYDeumcM9tZXfhiZsvyq\nSt7eGcuatIaO/452diwYOJgpIaFmFWAIN0fTwFQlV/Bgn7482ncA1npO1kzZmcJSFvy0lhO5hVir\nlPz7rtGM693V2GVdVV29hk9+2MaazUkAjB/enWfnjcDS0rwe96aqKmtZtWg3KxbupurCOpd+gR6X\nLu5QmejvZ+rnDIIg6FdTr+XBhQfYfbKw2aMVBgW68e1sMVpBMFxZjZp+b22hXntlh0pLqRRy9r86\nUkzHKbSJ3Nxchg4dilwuZ8eOHXTo0OHSbRn5lXwTd5JVBoyandzLi/li1Kwg3PJE8GVewRdA5OHD\njP/zz0ZtdSoVS++7j5xOnS61ieDr+m0i+BLBl1GZSydWfb2G2L+SWP5jPGcyGxZJ7ujrwsyHhzFs\nfE8UZnz1lEaj5ctFcfy29iAAwyK78NKjY7C1Md0wKfZ4Ji8v2UBFTR1+bk58PHciwSY8RdrV7Dmb\nzX/itnO8sOE11dXVjZcGRxPt19lkw0fh5tHodCw/nsz/9uymoLphiszhnQN4JSqGAGcXI1d343Yc\nO8krSzZSUVtHZ3dnPp57G0Gepvt3m5NXymsfruVEZh4qCwXPzBvJbSN7GLusFqmprmPN0j38/tNO\nKspqAOjZz59p90XRZ3Cwyb/vmMs5gyAIf9Nodcz9aT8JmUVom5N6XSDWpxGa4/nfj7Dy8DmDRscY\nStJqCLWpZNXLU/V2iAlCS+Tl5TFs2DC0Wi07duygY0f9owovrpN49FwZGQWV1NbrsFLJCXK3o4dY\nJ1EQhMuI4Mv8gi8LCwsG7N7NmI0bG7XXWlmx+P77yfNumK1LBF/XbxPBlwi+jMrcOrG0Wh2xG5JY\n/NV2zp0uAsDX351ZjwwnanTYTXmjaCs7Ek7w9hcbqK6px9fLmbeev52ATu7GLuuqsgtLWfDzOtJy\nCrBWKfnXtFGMjzC/efZ1ksSatBQ+TNhJTkXDVGODfDvx0uBount0uM7eQnskSRJbs07y3q54TpYU\nAxDewZOXB0czwMfXyNXdOK1Ox/9t3MM3WxpGao7oEcR/po/Gzsp0O4t2HzzJG5+sp7Kqjo4ejvzn\n+dvpGmC+f491tWrW/baXZT/EU1bSEKJ2j/BjzuMjCe/rb+TqDGdu5wyCIMAXOzL4aFNas0Z6NSWX\nwXOju/Lo0KCWH0y4JWTkVzL2k7hWDb5k6Mj/6Wk62sr44IMPmDx5sslfOCKYh4KCAoYPH05NTQ2x\nsbF4e5vuMgSCIJiPi9+hHB0dG31e6fvsMjQQ0RemNA1hTCn4MrSt6fEMvU9DgzV9bdf6/aN37WLU\n9u2Nbqu2tubnuXPJ79BB7/PQ9D4Mff70vR5acn6jL4bQ16YvJGkahukLbwwNwwwNfgwNjfQFToaE\nUIYGWs0N1vTd59Xamht86dvGkOfvam2Xvx4kSaKsrEwEX6ZCq9Gy9c8jLPlqO+fPlQAQ0NWT+c+N\no9eAQCNX13xncop57YM1ZJ4pxMpSyT+eHE/MwCsXUDQVNfVq3vx9K2sPpgBw39A+PD0hyqzW/bqo\nTqPhl6TDfLF/L+UX3sDu7BbGS4OjcbWxMXJ1ws2SXlTEP3dsZc+5bAA6OTjy/KAoxgd3MctOlara\nep5ftJ74lCzkMhlPjh/M/cP6muzvIkkSPy1P4PvfdgMwuG8grz4xDgc7KyNX1jw6nY4taxP56dPN\nFBc0BOsh4b7MeXwEvQcEmuzzcDXmes4gCLeqjPwKxn4S36qhg1IuY8NT0WLqLsFg93/4K1sLbJG1\nwgWKF8PX8Z2VvPTSS/z2228MHTqU//73v/Tu3bsVqhVuVUVFRQwfPpzy8nJiY2PpdNlUVoIgCC0h\ngi/zDb4AhsfGMiw+vtHtlba2/DR3LqWeV647LoKvxkTwJYIvozL3TiyNWsvm1YdY8s0OCs6XARA5\nrBsPvzieDl7ORq6ueWpq6/nwmy1sjD2OTAaPzolh+kTT7qhelpDEuyt3oNHpGN0zmLfvGYulxZUf\nqOagtLaGLw/s4+fEw9TrtDhaWvH8oCHcFdYDpRmPKBSurbK+nv/bv5fvDh9Ao9PhbGXFE/0jmdGj\nJyo9JyXmIL+skse/X03KuXycbKz4YPYEBnYx3S/xarWW977ayIYdDe9982dEMXNyf7MM0gFSk7L5\n/K21ZKTkABDUzYs5j4+g3xDzDFHB/M8ZBOFW0xbTzCnlMu7o7c37U3u22jGF9kmSJN58803++a9/\nM/DFX8iXO7f6dJu7d+9mwYIF7N+/n/vuu4///Oc/V52aThCupqSkhBEjRlBUVERsbCydO3c2dkmC\nILQjIvgy7+ALSWL0tm1EJSQ02qbc3p6F8+ZR4uJy9X0RwZcIvkTwZVTtpROrrlbNyoW7+PW7OGpr\n6rGyVjH3iZFMvGegWa7/JUkSi1bu4+vFDVcVTB7Tk6cfGGHSayrsOXGGBT+vpbK2np5+Hfnkvttx\ntTffkVJZpSX8a8dW4s+cBiDI2YUXBkcxwt/8RmkIV1ev1fJrchKf7UugqKYGGTC9ezjPDxqCk5X5\nviem5RTw2HeryCurpJObE18+OIVObk7GLuuqKqpqeeW91Rw+lo2VpZJ/LZjIkH7mOXq3uqqOnz7b\nzNqle5EkCTcPB+5fMJqh48LNejpeaD/nDIJwKyirUdPvrS3Ua6/8ktNSKoWc/a+OFOvXCFel0Wh4\n7LHH+O677/j888+Z+8B85i86wK6MwmZNuymXweAgN76Z1RdrVePOIp1Ox5IlS3jppZcoLS3llVde\nYcGCBeJzSjBIWVkZo0aNIjc3lx07dhAYaJ7nn4IgmC4RfJl58AUgSdy2eTMD9u1r1Fzm6Mgv8+ZR\n5uR01X1F8CWCL0OOJ4KvNtLeOrGK8sv58r0/2bn5GABdu/vw1L8mE9DlyuGn5mDrrlTe+uwv6tVa\nBvcN5F8LJmBtdeWbsqk4kVvIY9+t4nxpBd4uDnzxwGQCPV2NXVazSZLEXxkneH9XPGfKG0YU9vXy\n5qXB0UR09DJydUJLSJLE+vQTfJiwk9NlpQD06ejFq1FD6eVp3lcKxx3P5PlF66muU9Orc0c+vW8S\nznam+/5+vqCc59/6g6zsIlydbHnvlSmEBJrne/beuDQ+/88aCs6XIVfIuXPOYGY+NAwrG9N9374R\n7e2cQRDasw3JuTy8+FCbHf+rmRGM7W7en5dC26iurmb69Ols3ryZpUuXMnnyZAA0Wh3fxGfy380n\nGv5tQAKmvDDq+5lRXZgfFXDNiwCrq6v58MMPee+993Bzc+O9997j7rvvFhesCVdVXl7OmDFjOH36\nNLGxsQQHBxu7JEEQ2iERfLWD4AtQKhTctm4dfQ4ebNRe4uzML/PmUeHgoHdfEXyJ4MuQ44ngq420\n106shO0pfPHWWgrzy1Eo5UybG8WMh4aisjS/K1OPpJzlpXdXUVFZS7dgT95/eQrOjrbGLuuqCsor\nefKHNSRn52FnpeKjObcxqKufsctqkXqtliVHj/D5vj0U19YAMDowiBcGRRHg7HKdvQVTk5B9hvd2\nx5OUdx6AAGdnXhgUxaiAILPuHJEkiSU7E3l/dSw6SWJ87xDeuHuUSU87mn4qn+ffWkFhcSWdfVz5\n8LU78XR3MHZZN6ykqJKv3vuT2A1HAQgO9eKpf04mqFv7Csjb6zmDILRH729M5dv4TNTa1v8KYqGQ\nMT8qgOfHhLT6sQXzVlhYyMSJEzlx4gRr165l0KBBV2yTkV/JN3EnWZWYQ71Wh4VC1uh1evHfKoWc\nyb28mB8deENryp07d45XX32Vn3/+mUGDBvHxxx/Tv3//Vvn9hPajsrKSsWPHkpGRQWxsLF27djV2\nSYIgtFMXv0PZ2treEsFXSwKypts1NzC7Wh0t+V2VSiUySWLy2rVEJCU1uq3Q1ZWf5s6lyt7+iudG\n33Nl6sFX0zZDQy5Dg6+WhGHNDbAM3c/QQKs9Bl9VVVUi+DInVZW1/PjJZv5ctg9JkvD1d+el9+4i\nMMT8rk49fbaIZ//zB+cLyvHxdOKzN+7G3dXe2GVdVU29mleXbmBzUgYKuYz/TB/DbX26GbusFquo\nq+ObQ/v5/vBBajUaFDIZc3tF8PSAQdjq+QAVTEtuRQX/jtvGppMZALjb2PL0wEFMC+1u9uu3SZLE\nR2vj+Tm24eqjR0cP5OHRA006yDuaeo5n//MH1TX19Ar14e0XJ+NgZ2Xssm5YwvYU/vv6CirKarC0\nsmDO4yOZPGMgCqV5rg13Le35nEEQ2puHFh1g47G8Njv+mLAOfD2rb5sdXzA/WVlZjBkzhvr6ejZs\n2EBIyLWD0bIaNQknCzl6royMgkpq63VYqeQEudvRw9uRyEC3Fk2neeDAARYsWMDOnTuZOXMm77zz\nDr6+vs0+ntB+VFVVMWHCBI4fP86OHTsIDQ01dkmCILRjIvhqP8EXgEynY9qqVfQ4frzR7fnu7vw0\ndy71Do0v5BXBlwi+DLlfEXy1kVuhE+t44hn+96+VnMkswEKl5MFnxzJx+gCT7hDWp6ikiufe+oP0\nrHx8Ojrz+Rt34+Zi+NWPN5tOJ/HJ+p38sP0AMhn8+67RTOkfZuyyWkVeZSWf7kvgt2NH0UkSHe3s\neS16KGMDg83udXUrqNNoWHT0CP/bs4sqtRpbCwse6tOf+3v3wUbPCY25kSSJd1buYOmuRJQKOW/e\nPdrkg+bkEzk888bvVNfUMyyyC/94ajwqEx6Zpk99nZrv/ruRNUv3ABARGciT/5iEp0/7HQV6K5wz\nCEJ7MeeHfcSlF7TZ8WOC3fn5fjGKRmhw6NAhxo8fj6enJ+vXr8fLyzRGPEuSxB9//MHzzz9PXl4e\nzz//PC+88AK2tqY7e4bQtqqrq5k4cSJHjhxh+/bt9OjRw9glCYLQzongq30FXwByrZa7V6wgNC2t\n0Ta5np4svv9+ai/7riyCLxF8GXK/5h58mfdQAjMX2qsTny59hPHT+qGu1/B/76zjzQVLqKqoNXZp\nN8TV2ZZP/jmNYH8PzuaW8OQ/l1FYUmnssq5KLpex4LYonhw3GEmC13/bxPKEpOvvaAY62Nnx1vBR\nrLx7Jt09OpBbWcFj69cydflS9p07a+zyhAt0ksTqtBRGL/qJt+J3UKVWMyYwmE2z7uPx/gPbReil\n00m88ftWlu5KxEKh4H9zJ5p86HU8PZdn32wIvUYMDuGfC24zu9Ar50wRT8/6mjVL96BUKpj//Dje\n+mpuuw69BEEwL9aqtv36YdXGxxfMx6ZNm4iJiaF79+7ExcWZTOgFDR1GU6dOJSUlhX/+8598/PHH\ndOnShZ9//llvB4DQvtXW1jJ58mQOHz7Mli1bROglCIIgNItOoWDZlCmcaLI2ZMfz57nnl19Q1ZpX\nf7MgtJT4ZmhkVtYqnvzHJF75cDq29lbs3pbCUzO/Ijur7a6EbQsO9tb875/TCPRz50xOMU//axnF\npVXGLuuaHhzZn2dviwLgjd+3smRnonELakU9PDqw8q4ZvDF0BK7WNhw+n8v0P37jgTUrSS00r9dW\neyJJEnGnT3H70oUs2Lie7PIygl1c+W7iFL6ccDsd7U13mtAbodXpeH3ZJn7fcxRLpYLP7r+dmNAA\nY5d1Taknz/PMG79TVf33SK9rLVRvig7sPMGT93xJZtp5vDq58vGi+dwxe7AY7SkIgkkJdLfDQtE2\n70sWChlB7qY764Bw8/zyyy9MmDCBSZMmsX79ehwcTHOdTisrK1588UXS09OZMGEC999/PwMGDGDn\nzp3GLk24Serq6rjjjjvYt28fmzdvplevXsYuSRAEQTBjWqWSZXfdRaa/f6N277NnuWfhQiz0jAgS\nhPZKTHVoQnKyi3jj6SWcSs/DxtaS59+eSuQw0x4h0VRJWTVP/WsZmWcK8fd15dN/34Wzo2lP2bE4\n/jDvrtoBwHO3R3NvTB/jFtTKqurr+f7wQb49tJ8qtRoZMCUklAUDB+Ntop0A7dGRvPO8vyuOhLPZ\nAHS0s+PpgYO5IyQUhZmv43U5jVbHa79u5M9DqVirlHx2/yQGBHcydlnXdCIzj6f+vZyKylqGDgzm\nXwtuQ2lG62BJksSyH+L46dMtSJLEwKEhPP/2VGzNcF2y5roVzxkEwVxtSM7l4cWH2uz4X82MYGx3\n81s3V2gdkiTx3nvv8fLLL/PCCy/wzjvv6J2KyVQlJSXxzDPPsHXrVqZOncr777+Pf5OOK6H9qK+v\nZ+rUqcTGxrJ582b69xfTtAqCcPNc/A5laWnZrKkODZ0qr2mbvmkNDZ3Wr7WnOrSyuvI7syHTGBo6\nRaKhbfoeE333Yehjp1QqsaivZ/bSpXQ+c6bRbVmdO7Nk5kwkPb+7oVNatvZUh4ZOgdfcqQ71Teun\nbzt90wTq286QKQyv1tb0Pgzdr1bPaL3WnurQ0Lamj4kh01Jerc2QqQ7r6urEVIftgZevK/9b+BDR\nY7pTXVXHv59azKpFu41d1g1xdrThk39No7OPK1nZRTzz5h9U11z5B2tKZkb15rU7hwPw4Zo4Fscf\nNnJFrctWpeLJAZFsv3cec3v2RimXsyL1OCMW/sAX+/ei1vPGI7SestpaXtqykSm/LSbhbDaOlla8\nPCSarXPuZ1po93YVeul0Eq//tulC6GXB/82bYvKh19ncEha88TsVlbVE9Q8yu9BLq9Hy0T9W8OMn\nm5EkidmPDuf1/824pUIvQRDMS2SgG6o2GlGrUsiJDHRrk2MLpk+r1fLEE0/wyiuv8Mknn/Dee++Z\nVegFEB4ezubNm1m9ejVHjhwhJCSEl156ifLycmOXJrQytVrN9OnT2b59Oxs2bBChlyAIgtCq1CoV\ni6ZPJ9vbu1G7/6lT3PXbbyj0BDqC0N6Y1zeBW4CVjYqX37+b+54aBcBX769nyTfb9SbipsrZ0ZZP\n/30XPh2dSc/K581P16PTmXb9dw/qyb+mjQTgvdU72JCYdp09zI+bjQ2vxwxn8+z7mNglhHqtlo8S\ndnL7r4vE+l9tQCdJrEpNYdSiH1l2PBmVXMH8Pv3Yce8DPBjRDyul+a/j1dT/1u9k7cEUrFUWfDP/\nDvoG+hi7pGuqrKrjxXdWUlZRQ2SEP288M9GsQi+1WsM7Lyxjy5rDWFpZ8M9PZjLz4eFm18knCMKt\nxdHagkm9vFDKW3e6Q6VcxuReXjhat7/PV+H6ampqmDZtGt999x3Lli3jySefNHZJzSaTybj99ttJ\nTk7mvffe4+uvvyY4OJhvv/1W75WygvnRaDTMnDmTjRs3sn79eiIjI41dkiAIgtAO1VtasnDGDHI8\nPRu1B2dkcMdvvyEX5xVCOyd6x0yQTCbj7gdiWPDvKchkMn75fCs//G+TWYVfLk62vP/yFOxsLInf\nl8EPv+0ydknXdefAHjw9YQiSBK8s2ci+jGxjl9QmOjk68cnYCfwyeSqdHBxJKypk+h+/cf+aFaQU\n5Bu7PLMnSRI7TmUxcelCntm0nsLqavp6efPnjNm8NDgaRz3DyduDhXGH+HH7AZRyOR/fexu9/E1n\nAXl9tFod//p4HafPFePv68q/n5mIhYX5hF51tWreeGoJO7ccw9beine+uc/spsYVBOHW9VB0YJsc\nd34bHVcwbcXFxYwaNYrt27ezadMmpk6dauySWoVKpeLpp58mIyODu+66i0ceeYSIiAi2bt1q7NKE\nFtBqtdx7772sW7eOP//8k6ioKGOXJAiCILRjtVZW/DxzJnkeHo3au6amMnn5cmQi/BLasTYLvl56\n6SV69OiBg4MDHTt25J577iE7u30GCW1lzJQ+vPTeXSiUcpb/GM8Xb6/TO/elqerk7cK/n7kNuVzG\nT7/vYeuuVGOXdF33D+vLzKheqLVanvpxDWk5BcYuqc0M6eTHXzPv5cn+kdhaWLDjVBa3LV3I0xv/\n5ExZqbHLM0sHc89xzx/LGkLEwgI62tnx7ojR/Hrn3QS6uBq7vDaz4XAa76+OBeCNu0cxOKSzcQsy\nwNeL49lzOAtHe2vee3kKNtZXzrNtqqqr6njt0Z/Zv/MEjs42vPfd/YT2Mu0pJQVBEC4X5GHHglFd\naK1BX3IZPDOqC0Eedq1zQMFsnDlzhiFDhnD69Gl27txJdHS0sUtqda6urnz22WccPXoUHx8fRo4c\nyaRJkzhx4oSxSxNukFar5b777mPFihWsWbOGoUOHGrskQRAE4RZQY2PDwjlzKHBrPCV46LFj3L5y\nJTIz6msWhBvRZsGXTCbjp59+orCwkJSUFGQyGRMnTmyru2u3Ysb24B//nYGFSsm63/by33+sQKsx\nnzR+QG9/HpsTA8Dbn2/gRGaekSu6NplMxgu3D2VMzy5U1tbzyLcrySluv3PqW1tY8PTAQey4dx73\n9YrAQq5gTVoqIxf+yD93bKWgqsrYJZqFtKJC5q9dxbTlv7Iv5yxOVla8MiSGrXPu566wHshbsPCn\nqdubfoZXlm4E4JnbopjYN9TIFV3fhh3HWLJ6PwqFnDefm4hXBydjl2SwirJqXn7wR44eOIWLuz3v\n/zCPoG6mPbpOEARBn4eiAhgU6IaihemXQi5jcJAb86MCWqkywVwkJSURGRmJQqEgISGBsLAwY5fU\nprp168aff/7Jhg0byMjIICwsjAULFlBSUmLs0gQD6HQ6HnzwQX777TdWrVrFyJEjjV2SIAgmLi8v\njxkzZtChQwecnJyIjIwkNjb20u07duwgIiICGxsb/P39+fLLL5t1P1qtttGPTqe74qfpNi35ae3j\nG3o8fdtpNJorflrzd9X3o+8+JUm64qe176Pc2pqfZs2iyNm50fPf48gRxq1ejVatNvhYrV2bKRxL\nq9XqfR5M5TXSktd5S2oxhfeDlmiz4Oudd96hT58+qFQqnJyceOGFFzhy5MhVT8zVajU1NTWNfoQG\nA4eG8Mbns7G0smDL2kQ+fXONWU17eNdtfRg/LIy6eg2vvL+aquo6Y5d0TXK5jLdnjKFfoA8F5VU8\n9v0qatXte9FHVxsb/hE9jK1z7ufObmHoJImFSYmM+OUHfk1OMqvX281Up9Hw3q44Jiz5hS1ZJ7FW\nKnm830B23DuPeRF92+U6Xpc7W1TG0z+tRa3VMiuqN3OH9jF2SdeVeaaQ97/aBMDT9w8norv5jJSq\nr1Pz2iO/kJZ8lg5eTnz084P4BXpcf0dBEAQTpFTI+XZ2XwYFujZ75JcMiUGBrnwzqy9KhZjB/Vay\nbds2oqKiCA4OJj4+Hh8f015XtDWNGTOGI0eO8Omnn7Jw4UKCgoL4/PPPUavVxi5NuAqdTscjjzzC\nokWLWLFiBWPGjDF2SYIgmIFHH32U7OxskpOTKSoqYurUqdx2220UFxdz+vRpJkyYwAMPPEBpaSk/\n/fQTVlX7PAABAABJREFUL730EitXrjR22YIJq7C356fZsylxdGzUHnHoEOP++gtE35/Qzty0b4ib\nNm3Cz88P5ybJ8kVvvfUWNjY2l35cXdvvtGDN0XtgIG9/PRdLKws2rjzIX38cMHZJBpPJZDz30Ci6\nBHTgfEE5Xy6KM3ZJ16VSKvnkvtvp7O5MxvkiPlxj+jW3Bm8HBz4YNZb1M+YwrHMAlep6Xtm2mTmr\nfudEUaGxyzMZkiSx88xpblu6kK8P7gdgVo+e7Jg7j2ciB+NgaWnkCtueWqvlxcV/UVlbz7CwQJ6/\nPQaZiY9s02h1vPPFBurVWsYP786Usb2MXZLBJEni87fXXgq9PvzpQTr6uBi7LEEQhBaxVin48d5+\nPDe6K0q5DKWBCZhSLkMm6dAcWsnHk7tgrTKfNRqFllu6dCljx45l7NixbNy4EScnJ2OXdNMplUoe\neeQRMjIyuO+++3jmmWcIDw/nr7/+MnZpQhOSJPHEE0/www8/sHz5ciZMmGDskgRBMBMZGRlMnToV\nd3d3FAoFDz30EJWVlaSnp/PTTz/RpUsXHnvsMVQqFTExMdx///18/vnnVz2eGHAgAJQ5OvLT7NmU\n29s3au+/fz8jN24U4ZfQrtyU4GvLli38+9//5quvvrrqNq+++irV1dWXfoqKim5GaWYlrLcfT74+\nCYD/e3sdqUnms2aaykLJq4+PRamUs2rjEQ4dPWPskq7L3tqS92eNR6mQ89vuI2xPPmnskm6aLq5u\nfDdxMp+MnYCzlRW7ss8wbvHPPLvpr1t+/a+DueeYuWI5c1b9zsmSYgKdXVg+dTpvDBuJu42tscu7\nab7atJek07l0cLTjzemjkbfWQi1taNnaA6RknMfD1Z4n5w4zdjk35K8/DrBp5SFUlkpe/99M3D0d\nr7+TIAiCGVAq5Dw6NIgNT0VzR29vVBdGblkoGn+uXPy3SiHnjt7eLL+/N/WJ63jhuWdves2C8Xz0\n0UfMmDGDxx57jKVLl2J5C1xsdC1OTk58+OGHHD9+nJCQEMaPH8/YsWM5duyYsUsTaAi9FixYwNdf\nf82vv/7KpEmTjF2SIAhm5MUXX2TVqlXk5uaiVqv54osvCAwMJDw8nMTERPr3799o+379+nH48OGr\nHk8MOBAuKnF25pd776XStnEfVuTu3QzdutVIVQlC62vz4GvdunVMnTqVRYsWMXbs2KtuZ2FhgbW1\ndaMf4UojbuvF7fcMRKPR8p9nllJaVGnskgwW6OfOvXcOBODdLzdSU1tv5Iqur5uPB09PGALA679t\nIr/MfB7vlpLJZEzsEsLGWfcxq0dPlHI5K1OPM3Lhj7y2fQvnKyuMXeJNdbwgnwfWrGTa8l/Zcy4b\nB0tLnoscwrp7ZtO74621xtL+k2f5duteZDJ4Z+Y4HG2sjF3SdZ05V8x3v+4C4IVHRmNnaz4dZWlH\nz/LlO+sAePL1SQSGdDRyRYIgCK0vyMOO96f2ZP+rI/lqZgTzowIYE9aBmGB3xoR1YH5UAF/NjGD/\nqyN5f2pP+nbx4f/+7//48ccf2bBhg7HLF9qYTqdjwYIFPPfcc3z44Yd8/PHHyOViesuLgoKCWLly\nJdu2bSMvL4+ePXvy6KOPUlBQYOzSblmSJPHCCy/w2WefsXjxYu68805jlyQIgpkZPHgwVlZWeHl5\nYW1tzUcffcTPP/+MtbU15eXlV4x4dnZ2prz86mvUiwEHwuWK3Nz45d57qbKxadQeFRfHkB07jFOU\nILQymdSGi/csXryYRx99lGXLlt3wPNY1NTXY2NhQXV0tQrAm1GoNLz7wA8cTzxDez593vp6LQmke\nU7xoNFrmvbiIjFMFTB0fwdMPDDd2Sdel00k8+t1KdqWdZkCwL9/Mv9MsRre0tuyyMj7dl8DK1OPo\nJAlLhZJZ4T15pG9/XKxtrn8AM5VZUsz/9uxmXXoaADYWFtzXK4IHI/riYGn6gU9rK6uu5c4PF5JX\nVsn8kQN4YtwgY5d0XVqtjsf/8StH03IYPyyMVx4fZ+ySDFZaVMnj0/+PwrxyJk4fwGOvTDR2SSZJ\nnDMIwq3rrrvuIiEhgeTkZBwdxWjY9qi2tpZ7772XlStX8vPPP3PPPfcYuySTptVq+emnn3j11Vep\nra3lH//4B0888QQqlcrYpd0yJEni1Vdf5d1332XhwoXMnDnT2CUJgmBmdDodwcHBREdH89FHH+Hg\n4MCff/7JnDlziI2N5d///jceHh58/fXXl/ZZsmQJjz/+OMXFxQbdx8XvUHK5vNGyBfqWMNB3sYm+\nNoXiyr5JpVJ5zX9Dw2CI5rbp+3xrSZu+0eRNtzN0P331GrqdvsdJ3/3q29eQ5+HiNp7nzzP3l1+w\nrq1tdPumUaNIGDxY7+vB0DZ9kYOhbTqd7oo2rVbb6N8ajea62wB610Gtr79yMIa+4+nbt66urtnb\nNb1ffXUYsl9L2/TVa2hb08fJ0OdB33Oqr+3y14MkSeh0umb39bTZZXKff/45jz/+OOvWrROLt7Yy\nCwslr344HWc3O5L2Z7Hsh3hjl2QwpVLBK4+NRaGQ88dfh0jPyjd2Sdcll8v4z/QxuNhZszc9m+V7\nkoxdklH4OjrywaixbJh5L+OCulCn1fD94YOMWfQzW7Pa3zSQOkniu0MHGL/4F9alp6FSKLivVwQ7\n7p3Hs5FDbsnQC+DDNXHklVUS7teRh0cPMHY5Blm/PZmjaTm4OtvyuJlNcfjJG6spzCsntFcn5j9v\nPoGdIAjCzfL5559TW1vL888/b+xShDZQWlrK2LFj2bBhAxs2bBChlwEUCgUPPPAA6enpPPbYY7z6\n6quEhoayatUqvR1LQuv717/+xbvvvsuPP/4oQi9BEJqlpKSEzMxMnnzySVxcXFAqlUyaNInAwEA2\nbtxIr1692L9/f6N9Dhw4QO/evY1UsWCuznt68svMmdQ2CdVGb95Mv717jVSVILSONgu+nnjiCSor\nKxk3bhx2dnaXfuLjzSekMWWuHg48//ZUAH79LpaC82VGrshwXQI6cOe43kgS/LQ8wdjlGMTNwZZX\n7mgYnfblpj1U15n+NI1tJcjFlS/GT2TN9FkM9PalqKaaB9eu4qUtG8mvah9TQaYWFjB75e+8vTOW\nep2WO7uFsW3O/fwjehhuNu13dNv1pOcWsvrAMZRyOW/fMwYLPVcRmRqNRssvf+wB4LF7h+JgZz6B\n5YFd6SRsT8HaRsXL79+NhcWVV3wJgiDc6jw8PPj888/59ttv2bJli7HLEVrR2bNniYqK4sSJE8TF\nxTF8uOnPFGFK7O3teeutt0hNTaVv375MmTKF4cOHk5iYaOzS2rU333yTN954g2+//ZZ7773X2OUI\ngmCmXF1d6datG1988QXl5eXodDrWrVvHsWPH6NOnD3PnziU1NZUvv/yS+vp64uPj+eGHH3jssceM\nXbpghnK8vVk0Ywb1TUaPjf/rL3ofPGikqgSh5dos+JIkCbVaTWVlZaOfqKiotrrLW07EwCCGjAqj\nrlbN9x9vNHY5N2TG5H6oLBTE7k0n84x5zD0/OjyY8E6eFFVU8/22A8Yux+i6e3Rg0R3TeGVIDCq5\ngmXHk4n56XvejNtOQVWVsctrlhNFhTy+fi3jl/xCwtkzuFpb8+1tk/lg1Fi87B2MXZ5RSZLEh2vi\nkCSYFhmOn7uzsUsyyKa4FHLzy+nk5cKIQV2NXY7B1GoNX733JwAzHhqGu6eYvksQBOFq7rrrLqZM\nmcK8efOoqLi11iBtr44dO0ZkZCRarZaEhAR69uxp7JLMVufOnfn111/ZtWsX1dXVREREMG/ePM6f\nP2/s0tqdd999l9dff50vv/ySBx54wNjlCIJg5lavXk1hYSFBQUE4OTnx4osv8tlnnzFy5Ej8/PxY\nv34933zzDY6OjsyePZu3336bO+64w9hlC2Yqu1Mnls6YgbrJlIi3rV1LjyNHjFSVILRMm67x1RJi\nvQ7D5OWU8OCkT6iv0/Dhj/Po3qezsUsy2P++38rv6w8zYnBX/v2Meaxbk5iVw+zPf8NSqWDdS/fh\n6Wxv7JJMQnpREf/ds4uNJ9MBsFIqmdWjJ/P79DeLEVIZxUV8ui+BP0+kIQEqhYJ7uofzWL+BZlH/\nzRCfksWj363C3sqSP1++D2c7039f1mh1zHryB86eL+UfT45nTEyosUsy2B+/7OLbD//C28+Nr1Y8\nLkZ7XYc4ZxAE4fz584SFhTF9+nS++OILY5cjtEBcXByTJk0iLCyMNWvW4OLiYuyS2g2dTseSJUt4\n6aWXKCsr4+WXX2bBggXis7MV/D979x0VxdWHcfy7hd5RQQGVKlawYkex9xaj0dhNj+mmvOm9G9Ob\nJsaaqDH23gXEiooNRIqNKtLrlnn/QI3oGlcBZxfu5xyOyWV29rezw+zsPHPvnTVrFjNnzuS7775j\nxowZcpcjCIJwR9e+QwH3NMeXoXmkjGmrCXN8VWY+L2Pn6TK0nKFtZ+z2vPl9MPReKZVK/M6eZfzS\npahvmKNJr1Cw4oEHONWyJWB4HzGWsfN5GTPHl7HzeRmag8pQm7FzYRk7L5cx837VhDm+DL0PxrYZ\nM8cXYHpzfAn3h7uHC2OmhQLw46fr0Olu3WFM1fgRIVioVezYG0fyxSy5yzFKax8P+gc3oVSr4+sN\nEXKXYzIC6tThp8HDWDduIn19/SjRapl75DA9/pjDpxG7ySkplrtEg5Jzsnl+83r6L/qDdWfisFCq\nmBjUml2Tp/NOj14i9LpKo9Px5do9ADzet6NZhF4A2yNiuZiWg1d9Z3p3ayp3OUa7cjmfxT/tAOCJ\nVwaJ0EsQBMEI9evX55tvvuHHH39k586dcpcj3KO///6bvn370qtXL7Zu3SpCryqmVCqZMGECZ86c\n4eWXX+ajjz6iWbNmLF26VMz/VQnffPMNM2fOZPbs2SL0EgRBEMxagr8/S0ePRndD2KmUJB5YsYLA\n2FgZKxOEuyeCrxrgwandcfNwJjEujT2bj8tdjtHc6jgwuFdLJAmWrjWfMWOfH9wNC5WK9dGxJKZf\nkbsck9K8nhu/DBnB6ocm0Mvbl2Ktll+jDzHkz4XEpJvWcCrrzsQy5M+FrImLRa1UMr5VMDsmT+O9\nnr2pby968t1o09EzJKZfoWEdJ8Z1M5+hhv5aWz4k6cQHOqJWmc/H3fLfwykqLKVjaCAdujeRuxxB\nEASz8fDDDzN06FAeeeQRCs102OXa7LvvvmPMmDE8+uijLFu2TPRCqka2tra8/fbbnDlzhh49evDQ\nQw/RrVs3Dhw4IHdpZufHH3/k+eef5/PPP+f555+XuxxBEARBqLQzgYH8PWoU+ht6dikliQeXLcM/\nPl7GygTh7pjPlUDhtqysLRgztXzutM0rzSdAAhjRvzUA4Qfizaa3mlcdJ4a0K+89su7waZmrMU2t\n3NyZO2wkK8c+TLB7fVLy8xmz/C/mRh+iRHtrN9n7KauoiHd3befZTesp0mgYHNCEHZOm82FYn1o/\nj9ftrDl4CoApYe2xNNCN3hRdSsshPikDWxtL+nZvJnc5RtNotGxfdxSACU/1krcYQRAEM6NQKPj5\n55+5cuUKr7/+utzlCEbS6/W88sorPPvss3z88cd89913BoffEaqep6cn8+fP58CBAygUCjp27MjE\niRO5ePGi3KWZhV9//ZWnn36ajz76iJdfflnucgRBEAShypxq3px/Rozgxv7gKr2eMUuX4pOYKFtd\ngnA3RPBVQ/QYGISFpZpjB5JIT8mWuxyj+TWui4e7Ezl5xRyPvSR3OUYb2r58rqB10afR68WwILcT\n7F6fvx4Yy8OtginT6/g4Yjfd583lx4P7yTMwZm11upSXx7u7ttP9jzksiDmKWqnk3R69+HbAEDwd\nReB1O+m5Bew/ex4LlYr+webT+2j3/vK7kDq39cXSjIYK3L8rjrycIrwD3PFv5iF3OYIgCGbHw8OD\n2bNn89133xEeHi53OcIdlJWVMWnSJGbPns2CBQt47bXXKjVvhHBvOnToQHh4OMuWLSMiIoImTZrw\nzjvviJ6T/+H333/n8ccf59133xVBuyAIglAjHW/VijXDhlVos9BqGbtkCY3OnZOpKkEwngi+aggH\nRxu69GqGJElsW3NE7nKMplAo6NExAIA9B87KXI3x2vl40sDFgdTsfA4nijsi/4uVWs0HYX34dchw\nWrq5k1VcxJdREXSb9yufRe4hs6h6v1DHZ2Uxc8tGwhb8xoKYo5RotfTy9mXFmPFMCm4jLq7cwfrD\np5Ek6NnCBydba7nLMVr41eCrR6cAmSu5O1tWRwPQb0RbsW8KgiDco8mTJzNgwACmTZtGUVGR3OUI\nt5GXl8egQYNYvXo169evZ+LEiXKXVKspFAoefPBBTp8+zdtvv83s2bNp0qQJCxYsMDjxeG22YMEC\nHnnkEd544w3efvttucsRBEGoNEmSzPZHr9ff8lOZ5Yz50el0t/xUZrsaqs3Yeqv7/Yxu3Zp1AwdW\nWL+lRsO4RYtocP78XW/zqnwfKrM9qro2QwztJ+a0n5vCT2WJ4KsG6TeiLQBbVx8xqy8nodeCr/3x\nVbJT3w9KpYIh7cqHT1tzSAx3aIw+vv6sHvsw80c8QGevhhSUlfHL4YN0nzeHt3ZuI6OwoEqf7/Tl\nTJ5Yt5r+i//gn9hTSJLE8MBmbBg/ibnDRtLKzb1Kn68mkiSJtVeH8xzarrnM1RgvK7uQE2dSsLRQ\n0amNj9zlGC0rM59DEWdQqZX0Gtxa7nIEQRDMlkKh4JdffiEjI4O33npL7nIEA1JSUggNDeXEiRPs\n3r2bfv36yV2ScJW1tTWvvfYa8fHxDB48mClTptCxY0ciIiLkLs0kLFmyhKlTp/Lyyy/zwQcfiBuV\nBEEQhBrvYIcObLrpXM2qrIyJixbRIDVVpqoE4c5E8FWDtO7oR113R9IuZXP2tPkceFo08aCOsx1p\nmXmcv3RF7nKMNvRq8LX9+FmzCezkplAo6N7Im8WjxvDPmPH08/WnTKdj8fFjjP17aZWFX0fTUnlw\n+Z9sSTyLpUrFw62C2T5pGrP7D6Jp3XpV8hy1wbnLOZxNy8LZ1ppuTb3lLsdoB44lI0nQPqgxtjaW\ncpdjtKgdp9DrJUK6B+Lsaid3OYIgCGatYcOGzJo1i9mzZxMVFSV3OcINYmNj6dKlC8XFxURFRdG2\nbVu5SxIMcHd359dff+XIkSM4OjrSvXt3xowZQ1JSktylyWb58uVMnDiR559/nk8//VSEXoIgCEKt\nEdWpE9t6VZyH3Lq0lIkLF+KWni5TVYLw30TwVYOoVEpatvUGIOlMmrzF3AWlUkGAjxsA581ofjIf\nN1dc7W3ILyklPadqeyvVBq3rN+DnIcPZ/PAUWrq5cy43h0mrVlQ6/IpJT2Pq6n8o0mgYHNCE8CmP\n8kFYHxo5OVdN4bVIfOplAIIaN8BCbT6TzF8L0AP9zKtXX+LV43ZQe/PppSYIgmDKpk+fTp8+fZg2\nbRolJSVylyMAe/fupWvXrjRo0IDIyEh8fMRnnqkLDg5m27ZtrF69mqNHj9KsWTP+97//kZeXJ3dp\n99XKlSsZN24cM2bM4MsvvxShlyAIglDrhHfrxq7u3Su02RYXM2nhQupkZspUlSDcngi+apjGfuUB\n0rmEDJkruTteDZwBuJhmPsEXlIdfAAnpWTJXYr4C6tThj+Gj8Hdx5UzWZbr+/itTV//DqtjTFGk0\nRq0js6iQP45GM3LpYkYsXUxuaQn9fP2Z3X8w9exEz5l7dW2/9nV3lbmSu3MpLQcAr/ou8hZyl85f\nPW439neTuRJBEISaQaFQMGfOHC5evMi7774rdzm13qpVq+jduzddu3Zl+/bt1K1bV+6SBCMpFAqG\nDRvGiRMn+OSTT/j5558JCAhgzpw5t53XpCZZu3YtY8eO5bHHHuPrr78WoZcgCDWKtzd8+SX4+spd\niWAOdvbsSWSXLhXa7AsLmbRgAQ20ZwgKmo+dnfl0xhBMj69v1R2TRPBVwzS6GnxdSDKvpN3z6gXq\nS6k58hZyl/zc6wCQmGE+QzSaIlcbWxaOfJC+vn4oFAp2n0vixS0b6DDnR57fvJ6dyYlobvpSXVBW\nxsrTp5iyagVdfvuF9/fs5Fh6GvYWljzcKphvBgxGrRSHuMpITC/fr32v7ufm4uLV4MvzaqBuLq4d\ntxv5iuBLEAShqjRu3JjPP/+cL774ggMHDshdTq31008/8cADDzBp0iT++ecfbG1t5S5JuAeWlpa8\n8MILxMfHM2bMGJ588knatm3Ljh075C6t2mzcuJHRo0czefJkvv/+exF6CYJQ4/TuDe3aQZ8+d/c4\nSZKM+rnf67rd+oyl1+tv+anK11CZ2qryeQ29TqNqUyjY2qcP+0NCKjQ75ucTmr0MF5ck3NxiKv1+\nGVufqW5fY5/3Xve329VW1a/rfq8LoG/fezsmGaKu/CoEU9LQp/zOyQuJ5hV8edV3Bv69YG0urvWE\nuRYQCPfO3d6eX4aM4EpxEevjz7Am7jSHU1NYExfLmrhY6tjYMCggkCFNAlkYc5RtiQmUaLUAWCiV\nhHn7MjywGb19fbFWW8j8amqGpKv7tZ8Z9fiSJIlLV3uOXjuumIPc7EJys4uwsbWkjpuD3OUIgiDU\nKI8//jjLly9n6tSpREdHY2VlJXdJtYYkSbz55pt8/PHHvP/++7z55psiOKgB6taty3fffceTTz7J\nzJkz6d27N8OGDePLL78kICBA7vKqzJYtWxg5ciTjx4/nl19+QSluqhMEoQZ6OKz838l94KstICGh\nLgTrGy8rGurda6jNyFF7hJqjpB5o7UABXOlRfo3O32YvD8zfiwS37kuCYMCN+9Gx3lBG+TFp0yY4\nf/7e1yuCrxrGo2F5z4z0lBz0er3ZnJzXd3MEIC3TvMaKb1yvvKfahawceQupQVxtbJkY1JqJQa25\nkJvLmjOnWR17mrPZV1gYc5SFMUevL9vBw5Phgc0Y6N8EFxsb+YquoS5eyQX+3c/NQWFRGYVFZdhY\nW+DkYD77RNql8rDOo1EdcUFQEAShiimVSubOnUurVq344IMP+PDDD+UuqVbQaDQ8+uijLFq0iN9+\n+41p06bJXZJQxZo3b86GDRvYtGkTL730Ei1atGDGjBm89dZbuLiYz/mjIdu3b2f48OE8+OCDzJ07\n12y+VwuCINytsrpgBZTVg4Pz/m3vGSZbSYIZ2bfs1jaxLwl363b70a+/woAB975ecfZWw0iUdx1U\nqhRmdXJ+rcejWmU+NQPorxauVqlkrqRmaujkxNMdOjGzSzegvGfX+FbBANhaWPBJ736MbxUsQq9q\norp6DNHrK9c1/H5SqcpDI0mSzCpAUl099lW2G74gCIJgmK+vL59++imffvop0dHRcpdT4xUUFDB0\n6FCWL1/OmjVrROhVww0YMIBjx47x9ddfs2DBAgICAvj+++/RmOmd/7t372bo0KGMGDGCefPmoRLf\n9QRBqEVcoyD4JbmrEMxF8Evl+4whYl8SjPVf+1FlmFfKINxRaXH5lwsra/Ma6q207GrdVubVCbH4\nat22luZVtzm5lJ/Hq9u2APBK11A+6NmbIU0CKdJoeHbjOkqvDncoVD0by/LjyLX93BxYXa25pFRr\nViHStWN2SbH5bGtBEARz8/TTT9OlSxemTJlCWVmZ3OXUWOnp6fTs2ZPo6Gh27drFoEGD5C5JuA/U\najVPPfUUZ8+eZfLkybz44osEBwezceNGuUu7KxEREQwePJjBgwezcOFC1GrxPU8QhJpNofn334Z/\nQtDr4CLuERKM5BJdvs80/EvsS8K9u91+tMxAT7C7Ic7iaphrF02tbSxlruTulJaWhxdWZhYgFZeW\nb+9rAYFQtTQ6Hc9vWk9uaQm9vH2Z1rotCoWCj8L6cjw9nVOXM/kkYjfv9uwtd6k1kjkGX0qlAgu1\nCo1WR5lGZzbHlGvH7NIScSFWEAShuiiVSn777TeCgoL4+OOPeffdd+UuqcaJj4+nf//+KJVK9u7d\ni7+/v9wlCfeZs7Mzs2bN4oknnuCVV15h0KBB9O/fn1mzZtGiRQu5y/tP+/btY+DAgfTt25clS5aI\n0EsQhFpBr/733+g+EDAHymfa+ZehEaUMtRnqIXvzsdTQsdVQm4XFrdfZLC1vvdZp7HKG2gzN+2po\nfdbW1ndcxtC6jK2jMq/V2O1583tj7PtnaDmFQkG9jAym/vEHtsXFSEB6b5Bu2JfOjnJgYYMXuHlf\nMnSDsl6vv6VNZ2AOuZuXM7SM1sDN8YbaDPVKN3RjnLHLGWorLS294/pKSkqMek5D6zK2jsq8VmO2\np6FljHn/bm2TWNob6qrL9xq9Gnr1gt9/v+VhRhM9vmqYkuLyHdfcgq+SsvI/EmszC5CuBQIi+Kpa\nGp2OY2mpvLlzG4dTU6hvZ8/nfftfH7rOwcqKbwYMxkKpZEHMUX48uJ+zV7LMqoePObC5GhqZU/AF\n//YcLS01n7qtbcuP2aLHlyAIQvUKCAjg448/5qOPPuLYsWNyl1OjHDhwgC5dulCnTh0RegkEBASw\ncuVKduzYQVpaGsHBwTz99NNcvnxZ7tIMOnjwIP3796dnz54sXbrU4MVFQRCEmujECfj0Uzh+HPLz\nwUDeIggVuGRnM2nhQmyLiwHQW4I6H/QXnDh9eji5uY3QaKxRKsUITYLxLC3Lj0HHj1c8JlWGuIWp\nhsm5UgCArd2tdxqYsrz88oOlrY15fcHIKigCwN7avLa3KcorLeGPo0fYf+kCR9JSKbl6x4BSoeDr\nAYNxtbGtsHyQe31e7RrKh+G7+DIqgi+jInC2tqZdAw96NPbhoZZBqM1onjtT5HB1v762n5sLWxtL\nCgpLyc0vwdHBPOZ/s7axQKlUUFxYSklxmdndvCAIgmBOnn32WZYvX87UqVPZv3+/uMBdBdatW8fY\nsWPp0aMHy5Ytw97eXu6SBBMRFhbG4cOH+eOPP3jjjTdYvHgxb7/9NjNmzDB4N7scoqOj6devH126\ndOHvv/82mboEQRDuh5dfLv9382ZQKkGSzGeubOH+c8jPZ+LChTgUFFxvU5VB8fyu7AnrA0B6emsU\nCj2SJK7JCcYrK1Pw2GMS1zqLbd4MikoejsQeWMOciD4HQJOWnjJXcndiE9IB8Pd2k7mSu3MkKQWA\nlg3dZa7EvEVdOM/AxQv4ev9eoi5eoESrxdfFhTHNW7JgxGhCPL0MPm5q67bM6juQwQFNcLezJ6ek\nhO1Jiby9aztjlv9FUk72fX4lNUuLq/t1dOIlmSu5O/6N6wEQm5AmcyXGs7BQ49OkPnq9xOljF+Qu\nRxAEoUZTqVT8/vvvnDp1is8//1zucsze3LlzGT58OGPHjmX16tUi9BJuoVKpmD59OvHx8Tz11FO8\n/vrrtGjRglWrVsk+YsOxY8fo27cv7du3559//jE4VJUgCEJtYWAkMkG4zqaoiImLFuGaXfFa24H2\n7dl50xQkIvQS7oVef/PQmJVbn9gLa5iYg4kABHfwlbmSu3MqPhWA5gENZK7EeGVaLceSy4Ovdr6G\ngxnhv5VqtXwSsZsJK5eTWpBPkHt9fh48jIOPPMm2idP4tE9/ujRsdNvHKxQKRjZrzncDh7J32mPs\nmfIIn/XpTwN7e46mpzJkyQL+PBEj+xdqc9Xer3y/PpRwUeZK7k7zJuXHkWvHFXMRHFJ+3D529Tgu\nCIIgVJ+mTZvy/vvv895773HixAm5yzFLkiTx3nvv8eijj/LGG2/w22+/id5zwn9ycHDg448/JjY2\nlnbt2jFy5Eh69+7N0aNHZannxIkT9OnTh+DgYFavXo2NjXmMFCAIgiAI95tlaSkTlizBPTOzQvux\noCA2DhpU+a45glANxFCHNYhGo+XkkfMABHXwkbka42k0Os4klvf4ahZQX+ZqjHf8fBqlWh3+9evg\nYi++JN2t2MuZvLB5A3FZl1EpFDzdoRNPd+iIhYHJNI2hUCjwcnTiweZO9PP15+1d21l7JpY3dmxl\nR1ICH/fuRz1buyp+FTVbGx8PlAoFJy+mU1Rahq2VeQz70iLATIOvDj78syCSmINJcpciCIJQK7z4\n4ousWLGCqVOnEhUVZXAicMEwrVbLk08+ye+//87PP//M448/LndJghnx9vbmr7/+4plnnuGFF16g\nbdu2TJs2jQ8//JD69e/++2BusYaohMvEXMolIbOA4jI9NpZK/OrZE+TpRGe/ujjdNKT+6dOn6d27\nN82aNWPt2rXY2treZu2CIAi1i8LIAMPQcsa03evjKlubscspjZgyw9AylXkNVb0+Y9ru5jnVGg3j\nly7FKyWlwu9iAwNZM3w4KJVUJvYydpvcfFN7VW+j+/G+3utzGlLdf6vGtlX132pVdl4Q3+5qkLjj\nFykt0dDYzw2XOuYzxEjCuUzKNDoaebjiYGctdzlGO5RQPvzbtV4xgnHSCwr480QMPx86QJleR2Mn\nZ2b3H0Tr+lXX28/J2ppvBgymt48vb+3czvakRAYtns+LnbsxtElT7MW4/Uaxt7aiuZcbJy6kczQ5\nlS6BjeUuyShN/csvmMQnZaDR6LCwuLcw9X5r2c4bpUpJ3ImLFBeVYmMrhtoRBEGoTmq1mnnz5tGm\nTRtmzZrFq6++KndJZqGwsJCHHnqI7du3s3LlSoYNGyZ3SYKZ6tq1K/v27WPJkiW89tprLF26lNdf\nf50XXngBa+s7fy88m5HPL3sSWX00hTKdHguVAo3u34slFqoMNDoJS5WS4a09eDzUD383e+Li4ujV\nqxf+/v6sX78eOztxc5wgCIIgGKLU6Xjw77/xSU6u0J7k7c3fo0ejv8eb1wXhfhBDHdYguzbEANC6\no5/MldydfUfLeze0aGI+wxxKksSWY2cACPFvKHM1pk+SJHYkJTJ9zUq6zvuVbw9EUabXMa5lEOvG\nTazS0OtGwwKbsfHhSXT2akRWcTFv7NhKx7k/8fLWTZzISK+W56xpOlzdvzcfPSNzJcZzsLPG26sO\nZRod0SfOy12O0ezsrWnSwhOdVk/41pNylyMIglArNG/enHfeeYd33nmH06dPy12OycvMzKRXr15E\nRUWxfft2EXoJlaZUKpkwYQJxcXHMnDmTDz/8kKZNm7J06dLb3vGr1en5YddZBnwTzsojlyjTlU9K\nc2PodeP/l+n0rDxyiQHf7OH9Ffvp1bsPjRs3ZuPGjTg4OFTvCxQEQRAEM6WQJEasXk3gmYrXgy56\nevLXuHHoxBDXgokTwVcNkZNVwJbV0QAMerCDzNUYT6+XWL/9OAB9ujWVuRrj7Ys/z5nUy9R1sKVH\nc/MZVlIOKfl5PLp2FY+sXcnO5ERUCgUD/AJYPPJBPurVF7tq7n3l4eDIwpGj+arfQEI8vCjWallx\n+iTD/1rE+3t2UlBWVq3Pb+5GdWyJQgHrok9zOb9Q7nKM1qd7+fFk3dXji7kYfPX4/fe8cPRiZmFB\nEIT74uWXX6ZFixZMmzYNnU4ndzkmKzExka5du5KRkUFkZCSdO3eWuyShBrGzs+Odd94hLi6O0NBQ\nHnroIbp3787BgwcrLFdcpmPKHweZtSUOrV5CqzduOJxry/52MAPbQS+zcu16HB0dq+OlCIIgCIL5\nkyQGb9xI0PGK11TS3dxY/PDDlFmJEWoE0yeCrxpi1ZIoykq1dOzRlMZ+bnKXY7ToE+dJzcjDva4D\n7YPMYxg1gPm7y0PGcd1aYynmgzBIp9cz/1g0/Rf9wY7kROwtLXm1a3f2TnucHwcPo3PDRvetFqVC\nwYimzflr9Fi2T5rGlNZtUSoU/HH0an1JifetFnPjXc+FHs19KdPqWBp5TO5yjDYorCVKpYLwg2fJ\nySuSuxyj9RwURF13R84nZrJ/d5zc5QiCINQKFhYWzJs3j8OHD/P111/LXY5JOnz4MJ07d8bOzo69\ne/cSGBgod0lCDeXl5cWCBQs4cOAAACEhIUycOJGLFy+i1el5dOEhohKzMDLvuoVCoURf149X1p5F\nqxM3GQmCIAiCIX127iTk8OEKbVdcXFg4YQIlYl5MwUyI4KsGKC4qZd1f+wEYM627zNXcnbXbyu8c\nGNy7FSqVeeyOZ9MuExmbjLWFmjGdg+QuxyTFXs7kweV/8d7unRRqNPT3C2DrhKk83i6EOjJ/QPo4\nu/B2aBirxj5My3pupBbk88jalTy7cR2ZRebTo+l+mtyjHQBL98ZQotHKXI1x3Oo40LG1N1qtns27\nT8ldjtEsLNSMmtQVgOV/hMtcjSAIQu0RFBTEm2++yZtvvsmZM+YzvO/9sGnTJnr06EFwcDC7d++m\nQQPzGZ5cMF8dOnQgPDycpUuXEh4eTpMmTRjzzhwiEy6ju9fU6yqdBJFnL/NruLj5TRAEQaFQoFQq\nr/8oFIpbfm78/X8td68/htZv6McQlUp1y4+h5zC03O22x53qq8xrqMrtplAojH4Nd/M+dN+7l9DI\nyArrzHNwYOGkSRQ6Olb5PlKV26kqt0dl99d73Zfux34ux/56L9vodtvDWOaRNAj/acPfhyjIL6F5\nm0a0aGM+vaZy84vZsz8ehaK8d4a5WHC1t9fwDi1wtrORuRrTkpqfz0fhuxj21yKOpqfibmfPz4OH\n8dPgYbjb28tdXgUt3Nz5Z+zDvN6tBzZqNevi4+i7cB5zow+RX1oqd3kmpZ2vJy0aupNdWMyag+Yz\n99SQPuXB9Nptx287R4QpGvhAe+wdbTh15DwnopPlLkcQBKHW+N///kdgYCDTp08Xw81eNX/+fIYO\nHcrIkSNZt26dGBpOuK8UCgVjxowhNjaWZ974iMOa+lTVKZ1egq+2nuFsRkHVrFAQBEEQaoB2hw7R\nd/v2Cm1FNjYsnDiRHBcXmaoShHsjgi8zl5mWy5JfdgIwdlqozNXcncWrDqDR6ghp7U39eubxJfrk\nhTRWHzyFUqFgYmgbucsxGacvZ/LcpvX0mD+X344cRqvX83CrYDZPmEI/vwC5y7sttVLJI23bs+nh\nKYQ28iavtJSPI3bT9fdf+XDPLtILxBdhKL/oMOVqr68fNu8jt6hE5oqM07WdL3Wc7Ui+mMXuffFy\nl2M0G1srho3rCMCPn6xDYya97ARBEMzdtSEP9+3bx/fffy93ObKSJImPP/6YKVOmMHPmTBYsWIBl\nNc/LKgi3Y21tjT6wF+pqGGL+1z0JVb5OQRAEQTBHLY8fZ8j69RXaSi0tWTRhApfdzGdaHUG4RgRf\nZkySJL55bxWF+SV07NGUkFDzGWs/JT2H5evKe0498lBXmasxjlan551l29BLEhNC29C4nrjTIb+0\nlPd372DonwtZeyYWSZIYEhDIqrEP80FYHxzNZLLLhk5OzBs+ijlDRtDR04sCTRm/Hz1M34Xz+P1q\nkFfb9QtuQjtfT64UFPHlmj1yl2MUtVrFlAc7A/Djwt2UmVGANGZqKA28XEiMS+OvX3fLXY4gCEKt\n0aZNG1577TVee+01EhJq5wVxnU7H008/zZtvvsl3333HJ598UulhRgShMnKLNaw+mkJVT8ml1Uus\nOppCbrGmalcsCIIgCGamSXw8I1et4sYzPo1azZ/jx5Pq6SlbXYJQGSL4MmNbVkVzKDIee0cbnn17\nuFl9If1lcTgarY7+oc1p5m8e8wQsiThKXEomnq6OPN2/i9zlyEqSJNadiaXvonn8cewIAJOCWrNr\nyiN8O3AIQe71Za7w7ikUCnr7+vHnA2NZ89AE+vj4UaAp48PwXYz4axFHUlPkLlFWSqWCd8f0xUKl\nYtXBk0QnXpK7JKMM7RuEt5crKem5/LPxqNzlGM3a1pIX3x8FwF+/7Sb+VO3e/wRBEO6nN998Ez8/\nv1o55GFxcTGjR4/m999/Z/ny5cyYMUPukgSBqITLlFV16nVVmU5PVMLlalm3IAiCIJgD7+RkHlqx\nAtUN5706pZJlDz7IOW9v+QoThEoSwZeZykzL4ZcvNgDw1P8GU6eeg8wVGe9EXArbI+OwtFTz2MPd\n5C7HKGk5+fyweS8Ar48Mw9bKQuaK5JOUk83kVSt4dtN6MgoLaVO/AWsemsC7PXvj6WAeQ1beSUs3\nd34dOoI5Q0bg6eDIqcuZjF7+J2/s2EpOSbHc5cnGu54L03u1B+CDFdvR6HQyV3RnapWSpyf3BOCP\n5VHk5BXJW9BdaNXeh+HjO6PT6pn11gox5KEgCMJ9YmVlxbx584iIiODnn3+Wu5z7Jisriz59+rBr\n1y62bdvGAw88IHdJggBAzKVcLFTVc5OnhUrB8Uu51bJuQRAEc6BUKs3mR6VS3fKjUChu+anMcnK/\nxqrYJsYsd63dKzWVCcuWYaH993qDpFCwatQoEpo2NboOQ9u3ul9rZbaHKf+I/bziT6WOb5U9QAr3\nn06nZ/Y7KykqKKVzWDPCBgXLXZLRdDo9384rn5Ns3LD2uNc1/aBEkiQ+W7WLolINvVv5E9rcV+6S\nZJFZWMinEbsZuGg+ERfO4WRlzce9+rL8wXE0r1czx/rt7evHlglTeLJ9CGqlkj9PxNBnwTzmHY2m\nSFM7h0R5pHcIDes4cTYti/m7DstdjlE6tfEhJNibgqJSflu6V+5y7srUZ/vSoKEryfHpLPxxh9zl\nCIIg1Brt27fn5Zdf5pVXXiE5OVnucqrduXPn6NatGxcuXCAyMpJu3czj5jShdkjILECjk6pl3Rqd\nxNlMMa+vIAiCUPvUy8hg4pIlWJWVVWhfP2QIJ1u1kqkqQag6IvgyQ3NnbSI6KgEHJxueeWuYWQ1x\nuHjVAU7Fp1LH2Y6HR4TIXY5RlkQcZdvxs9haWfDa8J5yl3Pfpebn8+bObXT/Yw6/Rh+iTK/jgWYt\n2DZxKg+1DEJpRvvfvbCxsODlLt1ZP34SHT29uFJSzAd7dtJ93q98dyCKwptOEGo6Kws1b4zqBcAP\nm6I4lHBR5oruTKFQ8PTkHqiUClZuOsqBo8lyl2Q0a1tLXnp/FAqFgmW/7WHH+qNylyQIglBrvPPO\nOzRq1IhHHnkESaqei+6m4OjRo3Tu3BkLCwuioqJo3ry53CUJQgXFZdU75GhJNa9fEARBEEyNS3Y2\nkxYtwra44qhGW/v2Jbp9e5mqEoSqJYIvM7NqcRQrF+1FrVbx1uzxuNY1ryEOf/srEoDXZwzA1sZS\n5oru7GDCRb5YsxuA98f2o76L+WzvyirT6fj50AH6LprHkuPHKNPp6Ofnz8qxD/NF3wHUsbWVu8T7\nyt+1DktGjeGXwcNp7d6A7JISZu/bS9+F81h/Jq5GXxC7Wdem3kzt2Q6tXs9LC9aTlpMvd0l35Ne4\nHlPHls/N9+F3G7iSUyhzRcZr2c6bx18eCMDst1cScyhJ5ooEQRBqB2tra37//Xd27tzJnDlz5C6n\nWmzfvp3Q0FCaNm1KeHg4nmLycsEE2VhW72UL62pevyAIgiCYEof8fCYtWoRjQcUez+HduxMlev0L\nNYg4wzMje7ac4JfPy+f1evGDkQS195G5IuPlF5bw7ux16PQS44a1p2Mb0689LTufmQvKa54W1p7+\nwU3kLum+iTh/jkFL5vP53nCKNBoG+AWwZcIUfh48nGD3+nKXJxuFQkFfP39WjBnH4pEPEuRen7TC\nAp7ZtI4JK//m7JUsuUu8b54d1I1OAY24UlDEi/PXUaY1/fmnJo7sSJsWDbmSU8RH329ErzefsHLE\nhC6MeLgzGo2O959bTOKZNLlLEgRBqBU6derEiy++yMyZMzl//rzc5VSpxYsXM3DgQAYPHszGjRtx\ncnKSuyRBMMivnn21zvHlX8++WtYtCIIgCKbGpqiIyUuW4JqdXaH9QPv27OzdW6aqBKF6KCQT7aZQ\nXFyMra0tRUVF2NjYyF2O7A5FnOHdZxej1eqY8kwfHnq0p9wlGU2SJN75ah079sYR6OfOzx+Nx8JC\nJXdZ/6lUo2XKD8s4cSGdzk0a8dOjI1FVckI9c5CSn8fH4bvZcPYMAD7OLrzbsxfdG3nLW5iJ0ksS\ny04e5/O94eSUlKBWKpnWui0zQjpjb2n6PRorK6ewmLGzl5CSnceokJa8O6aPyQ+9mpmVz+QX55NX\nUMLTk3swblgHuUsymk6n5+OZfxG5/RQudeyZNf9RPBrVkbsskyDOGQRBqE7FxcW0bt0aHx8fNm7c\naPKfdXciSRJffvklr7zyCi+++CJffPFFpSeOFoTqtOlEKk8sjq629f/8cFsGtGxQbesXBEEwRde+\nQ1lYWFQ4tzF0TmBsm0p167U+tVr9n/9/uzYLC4tb2iwNXGcxtJyhNisrK6PaDD3HzcsZWqaq24x9\nXcZuT5VKhWVpKZMXLsQrJaXC72KCglg1ciRKA48z9D5X5lzYUAyh19865LChNp1O95//D6A1cFO2\noTaNRmNUW5mB6U2qsq20tNSoxxlazlBbZV6XoeWM2Z6GljH03hj7Pt/YJkkSGo3mnq/1iG84ZuDo\n/gQ+ePFPtFodD0zqythHeshd0l1ZvTWGHXvjsLG24L0Xhph86KXXS7z/9zZOXEjH09WRzycMqvGh\nV05JMbP3RdJ34Tw2nD2DjVrNy126sWH8JBF6/QelQsFDLYPYPnEa41oGodPr+TX6EH0XzmPx8WOU\nmkEvqMpwtrPh6ylDsVKr+OfACZZEHJW7pDuqV8eB12cMAOCXxeGcOJNyh0eYDpVKyaufjaFNJz+y\nswp47bF5pFyoPb0MBUEQ5GJjY8Pvv//Oli1bmDdvntzlVIpOp+P555/nlVde4auvvmLWrFki9BJM\nXme/uliqqmc/tVQp6exXt1rWLQiCIAimQq3RMP6vv24JveICA1kzYgSI80GhBhJ7tYnbvu4obz65\ngNISDf1HtuORlwaY1V2mUdGJzJ6zDYCZj/XFq4GLzBX9N0mS+GTVTtYcOo21hZqvpwzF2a7m9h7I\nKy3li73hdJ83h+8O7KNYq2WgfxO2TpzKk+07YmXgbg/hVi42NnzUqy8rxz5MkHt90gsLeGvnNnot\n+I2FMUfRGLjToaZo5uXGO2P6AvDpql2sOnBS5orurFsHf0YPaotWq+e1T1ZyMTX7zg8yEZaWat7+\nejxNgxqSkZLDCxN+Je74RbnLEgRBqPG6du3Ks88+y4svvsilS5fkLueelJSU8NBDD/Hzzz/z119/\n8cILL8hdkiAYxcnGguGtPVArq/Z7sFqpYERrD5xsbr2DXhAEQRBqCqVOx4MrVuBz7lyF9iQfH/5+\n8EH0BnrqCUJNIIIvEyVJEn/N3c0Xr/+NVqtj5MQuPPfOcLMKvWLPpvH2rLXo9BITR3Wkf4/mcpf0\nnyRJYtbacP6KPIaFSsU3U4fR1NNN7rKqhV6S+PvUCXov+J2fDh2gUKOhe6PGLB09lh8GDcXDwVHu\nEs1SkHt9/hkznu8HDqFJnbqkFhTwzq7tDP1zIVEXata8IDca2q4ZLw3pDsA7y7ayITpW5orubMbk\nHnRs401OXjEvfbiC7NxCuUsymo2tFR//MoV2XQLIzS7klem/sW+X6W9zQRAEc/fRRx9Rp04dHn/8\ncYPDtJiy7Oxs+vfvz5YtW9i0aRNjx46VuyRBuCuPh/pVy3ofq6b1CoIgCIIpUEgSD6xdS9MzZyq0\nX/L0ZOm4cegMDJ8oCDWFCL5MkE6r4/sP1/LHt1tRKBQ88cogHn95kFkNQ3IxNZuZH62guERD/x7N\neWx8N7lLuqMfN0cxf/dh1Eols6cMoUtgY7lLqhYx6Wk8uPxPXtm2maziIto18ODvB8cxf8RoOnh4\nyV2e2VMqFAwKCGTD+El8P3AojRydOHMli4dXLueZjWtJyc+Tu8RqMSWsPTMGdEEvSbz+5ya2Hz8r\nd0n/Sa1W8cFLw2ji686ltBxe/ugfiopvHePYVNnaWfHedxPoN6ItpSUa3n9+MeuXHZC7LEEQhBrN\nzs6O33//nfXr17No0SK5yzHahQsX6N69OwkJCURERBAWFiZ3SYJw1/zd7HmhbxOqqtOXQgEv9m2C\nv5t91axQEARBEEyNJDFk0yaCT1YcmSfdzY3FEyZQZmCOM0GoSRSSid6uWFsnqi8pKuOTV5ayf08c\nllZqXvn4Qbr1bSF3WXflSk4hT77xJ5fScggJ9uaz/400+Xm9FuyO5os1u1EpFXwxcTB9gwLkLqnK\nXSku4su9ESw9eRwJqGdrx/+6hTI8sJlZ9SQ0N6VaLXOiD/Hjof2UaLXYqNU81aETj7RpVyOHkvx2\nYyRzth3AQqXix0dG0KlJI7lL+k9Xcgp54vUlpKTnEtLam8//NxK12rSPVzeSJInFP+9k0U87ABgz\nPZQpz/QxqxslqkJtPWcQBEEeM2bMYMmSJZw8eZIGDRrIXc5/On78OAMHDsTJyYlNmzbRsGFDuUsS\nhHum1emZ8sdBohKz0Onv/TKGpNdhk3ee/Z9PxsnBoQorFARBMB/XvkPZ2NhUuCZk6PqQoe+XhtpU\nBobMU9903ePm/79dm4WBnkiG2iwtLY1qszIQ8tzrYw0tY6i2yjynsa/f0Da/tlzv7dsJjYys8Lsr\nLi78MX06RU5ORq3L0PtcmWuIhmIIvV5/S5vOwJQhNy9naBmNRmPUugwtZ6itrOzWG6QNtZWWlt7T\n+gw9rjLPaexjjX39Wq32jm2GljHm/btd2437iCRJFBcX3/O1ntp1ZczEpV3K5uVpc9m/Jw4HJxs+\nnTPN7EKvvPxiZn70D5fScgj0c+fDl4eZfOi1LCqGL9bsBuC9MX1rXOhVWFbGT4f203vBPP46eRyV\nUsmjbduzbeJURjRtLkKvamalVjMjpBNbJ05loH8TirVaZkVF0H/RH6w8fQqdgYO8OXtmQBfGdW2N\nRqfj2XlrOJxo2vNPuTrbMevN0Tg72nDgaDIffrcRrc583hOFQsGEJ3vxwnsjUaqULPttD5++uoyi\nwltPgARBEISq8emnn+Lk5MSTTz5p0kMe7tq1i+7du+Pr60tERIQIvQSzp1YpmTOxPV386txzzy+l\nAtp62JG18hOGDRlCQUFB1RYpCIIgCCagW2TkLaFXnoMDiyZPpkDc9CHUEiL4MgGSJLFt7RGeevB7\n4k+lUN/Tha8WPEbz1qbdU+JmV3IKeebtpZxJTMervjNfvD4KW5tb71owFZIkMWfbAT74ezsArw7v\nwfAO5hU0/pfynkYH6fHHXL7YG0FuaQndGjZm4/hJ/K9bDxxEl+b7ytPBkR8GDWXhyNEEuNbhfF4u\nL23dSP/Ff7D+TJxJXzi7GwqFgtdG9GRIu6YUl2l4/Jd/2HUyQe6y/lNDDxe+fOMBbKwt2BYRyzuz\n1lKmufWOFVPWf2Q73v9+Ija2luzZfIKnH/yeE9HJcpclCIJQI9nb2zN37lxWr17NX3/9JXc5Bi1b\ntoz+/fvTp08ftmzZgouLi9wlCUKVsLFUMW9yB2b2C0StVKA2MgG7tuzMfoEsnxHGjq2bOHXqFIMG\nDRLhlyAIglCjtD98mL7bt1doK7K1ZdGkSeSIc0KhFhFDHcos50oh332wmsjtpwDo0qsZL7w3Egcn\nW5kruzvpl/N47t3lXEzNprGnK1+/8yD16pjuHQR6vcQXa3ezaM8RFAp4c1QvxnQJlrusKrMjKZEP\n9uzkXG4OAG3rN+C5Tl3o1rCx6OFlArR6PatiT/H9gX2cz8sFIMTDi3d6hNGsnpvM1VUNnV7PR//s\nYHnUcVRKBe+N6WvywfKJMynM/HAFBYWldGzjzUcvD8fayrwmer2QlMmnry4jITYVhULB6CndmPh0\nbywta96wmjeqLecMgiCYlieeeIK///6bkydP4u7uLnc513399de8+OKLzJgxg9mzZxsctkYQaoKz\nGQX8uieBVUdTKNPpsVAp0OiuXd6QsFAp0egkLFVKRrT24LFQvwpzep04cYJevXrRtGlTNmzYgL29\nmO9LEITaQwx1WDOHOgw6eZIxa9ZU6OlSYmnJwilTSPX0vN5m7PsnhjoUQx3eqc2UhzoUwZeMonae\n5pv3VpFzpRBbOyuefG0wfYa1Mbtg4mJqNs+/t5y0zDwCfNz46q3RuJhwcKfR6Xh76RbWHY5FrVLy\nyfgBDGgdKHdZVSIx+wofhu9iV3ISAP4urrzevSc9Gnub3X5VG2h0Ov4+fZJZeyO4UlKMUqFgfMsg\nXujUFZcacNyTJInvNu1lzrYDAMwcGsrknu1kruq/xSdl8ML7y8nJK6Z1Cy8+/59p91w1RKPRsvjn\nnSz7bQ96vYR3gDuvfDwa30DTnoemMmrDOYMgCKYnLy+Pli1b0rFjR5YvXy53Oej1el555RVmzZrF\n559/zsyZM8X5n1Ar5BZriEq4zPFLuZzNLGDjlu0E+DRmQJfWtPJ0orNfXZxsDN/MdC38CgwMZMOG\nDTiI4Z8EQaglRPBV84KvwPh4JvzzD6obwgSNWs3C8eO56OdX4XEi+BLBlzFtIviqJjX5IlZhQQm/\nfLGBLSujAQjq4MNLH4zC3cP8upsmXbjM8+8tJyu7kBZNGvDFGw/gaG8td1m3VVymYeaC9ew5nYSN\npQXfTB1K5yaN5S6r0grKyvj+4D7mHTmMRq/H3tKS5zt2YWJQayzEXb4mL6+0hK/3R7Hw2BF0koSz\ntTUvdOrKuJZBqA2cZJibRXui+Wx1+Tx608La8/zgbiZ9IS75YhbPv7ecy1cKaBZQn1lvPICjg/l9\nDp06dp4v31hByvks1GoVE5/uxegp3VGpzH+fullNPmcQBMG0bd68mQEDBrBs2TIefPBB2eooLS1l\n6tSpLF++nHnz5jFhwgTZahEEubVs2ZKRI0fywQcfGLX8yZMn6dWrFwEBAWzcuFGEX4Ig1ArXvkPZ\n29tX+H5ubNBhKCQx5eCrKsOwqg60DK3P0HL/tZ28k5OZsGQJFjeEEDqlkmXjxnE2MPCW98bYkEuu\n4MuYMMxQuGIohDE20DG03L0GWrdru3l99yPkMpXgy1DbnfYHSZIoKCgQwZe5iNp5mp8+W09GSg4W\nlmqmPdeP4Q93MnggMXUxsZf436eryM0vpk2Lhnz2v5Em3TMiM6+A5/9YR8y5VJxtrfnx0ZG0alRf\n7rIqpVSrZenJ43x/cB+Xi4pQAA82b8nMLt2pa2u6ve4Ew85kXeb9PTvZe+E8AE3q1OXFTl3o6+tv\n0kGRMdYePs1bf21Gp5cY2q4Z7zzYBysL0x1+71JaDs+/t4zUjDx8G9Xl8/+NpL6bk9xl3bWSojLm\nfrWJdcvKe901beXFjDeH4d/MQ+bKqlZNPWcQBME8TJ8+nbVr13Ly5Enq1at3358/NzeXUaNGceDA\nAf755x/69u1732sQBFPSvXt3goOD+f77741+zKlTpwgLCxPhlyAItYYIvmpO8OVx6RJTFi7E6oaA\nQ1IoWDl6NCdbtQJufW9E8CWCL2PaRPBVTWraRayUC1n88vlG9u+OBcC/mQcvfzyaxn7mOZ/Phh0n\n+OKXrWi0Ojq39eHDmcOwMuG5cE5eSOPZeWvJyC2gvrMDvzw2El/3OnKXdc/0ksQ/p08ye99eUgvy\nAWhTvwFv9+hFsLt5h3m1nSRJbEk8y0fhu7iYlwdAKzd3Xu0aSpeGjeQtrpL2nEpk5sL1FJdpadWo\nPl9PGYqbk+nOpZCRlc8L7y3n3KUruDjZ8tErwwlq6nnnB5qgQ5HxzH7nH7Iy8lEqFQx5qCMTn+qN\ng6P5f75CzTtnEATBvOTk5NCiRQtCQ0P5888/7+tzp6SkMHDgQDIyMtiwYQNt2rS5r88vCKZo6NCh\nODk5sWjRort63KlTp+jVqxd+fn5s3LgRR0fHaqpQEARBfiL4qhnBl0d2NtPmz8e2uLhC+7phwzjS\nvv31/xfB170tJ4IvEXxVi5pyESvnSiF//rqL9csOoNXqsLWzYtKMPgwdG4JKbX5D0Gl1en5asJul\n6w4DMHpQG2ZMCUNtwkNnbToax5t/bqZUq6OtjwezJg+hroOd3GXds+jUFN7bvYPjGelAzeoVJPzr\nWm++Hw7uJ7OoEID+fgG83q0HDZ3Mr+fRNXEpmTw3bw2XruTh5mTPd9OG0dzLXe6ybiuvoIS3Z63l\nUMw51GolMx/ry5DereQu654UFpSw6McdrP5zH3qdHntHGx56pAfDxnXE0oRvXDBGTTlnEATBfK1f\nv54hQ4awcuVKRowYcV+e8/Tp0wwYMAAbGxs2bdqEt7f3fXleQTB1kyZNIisri/Xr19/1Y0+fPk1Y\nWBi+vr5s2rRJhF+CINRYIvgy/+DLJTubxxctwrGgoEL7tn79iOrWrUKbCL7ubTkRfIngq1qY+0Ws\nkuIyVi7cy/J54RQVlqJQKOg9tDVTn+tHnXrmOWxCXkEJ7361jgPHklGrlbz4SB+G9Q2Su6zb0usl\nft66j5+27APggY4teWNULyzMMHAESC8o4LPIPayKOw1AfTt7XunanWGBzVCKwKvGKtZo+P1oND8d\n2k+RRoOlSsWjbdvzZPuO2Bo4ETIHVwqKeGH+OqITL2Ftoeajcf3pF9xE7rJuS6vT88P8XSxfXz4v\n44OD2/L05J4mHfj/l8S4VH79YiNHDyQC4NbAiUkz+tBrcLBZDrsL5n/OIAhCzTB58mQ2b97MqVOn\ncHV1rdbnioiIYNiwYTRt2pS1a9dSp475jmQgCFXt2Wef5fDhw0RGRt7T40X4JQhCbXDtO5SLi0uF\nIMNQqGFsIGLKwVdlwqqbH1uZQKsyAdmNbQ75+Uz74w9cs7MrLBMRGkr4gAG3PLY2B1/GhlxVGWgZ\nu77KBFqVeawcwZex7/ON+4gkSWRnZ4vgy1TotDq2rD7Cwh+3cyWzfAi6Dt2aMPX5fvg2Md8h6M5d\nzOLVT1dxMTUbZ0cbPnp5OMHNveQu67aKyzS8+ddmthyLR6lQMHNYKBO6tzHLHlGlWi1zjxy+Jfh4\nol0IdgY+HIWaKa0gn88jwysEn692C2VYk6ZmuV9rtDo+WLGdlQdOAvBU/8480bejSb+WdduO8+Wc\nrWi1etoHNeb9F4fg6GA+n083kiSJw5HxzJ29meT48t6jvoH1mfZ8f9p1Mb/eo+Z6ziAIQs1y5coV\nWrRoQZ8+fVi4cGG1Pc/KlSsZP348/fv3Z8mSJdiKeV0FoYJ33nmH5cuXc+rUqXteR2xsLGFhYXh7\ne7Np0yaczHjEBUEQBENE8GW+wZdNURFT58/HPTOzwu8PhoSwafBg1AYeK4KvikTwJYIvWZnbRSyd\nVsfOjTH8NWc3F5MvAxDQ3IPpL/SndUc/maurnB174/jsp80UFpXh712PT18dQX030z3xP385h5kL\n1nP6Ugb21pZ8PmEQ3Zv5yF3WXdPp9ayKO803+/den+upn58/r3frQSMnZ3mLE2RzOPUS7+3eyYmr\nQ10Gu9dnZpdudG3YWObK7p4kSSzYE82stXuQJOjTyp/3xvbF0cZa7tJuKyb2Em98vprs3CI83J14\n/6WhNPUz35sadDo9O9YdZf7327icfnVOufbePPx4GMEhvmYTgJnbOYMgCDXX6tWrGTFiBGvXrmXI\nkCFVvv4ffviBZ555hscff5zvv//e4EULQajtZs+ezRdffEFKSkql1nMt/GrcuDGbN28W4ZcgCDWK\nCL7MM/iyLC1l8sKFeN30GRcTHMzqkSNBqTS4PUXwVZEIvkTwJStzuYhVVFjKtjVHWLloL6kXrgBQ\n39OFyc/0oceAVmY7bBRAaamG7/7YxaotxwDo2bkJb8wYgI216fYy2nQ0jneXbaOwtIyGdZz4btpw\n/Oqb19AvkiSxIymRzyL3cDa7fJ9q4lqHt3qEmWW4IVQ9vSTx96kTfBkVweWiIgC6NGzE/7qG0sLN\ndOfLup09p5N4ddEGCkrK8KrjxJcTB9GioemGSWmZebz++WrOJKajVit5amIPHhzc1mxCIkNKSzSs\nWbKPpb/tpiC/BIBmwQ0ZObErXXs1M/k5Kc3lnEEQhNph/Pjx7N69m5MnT+Ls7Fwl65QkiTfeeINP\nPvmEDz/8kNdff92sP3cEoTr98ccfPPnkkxQXF1d6XXFxcYSFhdGoUSMRfgmCUKOI4Mv8gi8bYMKS\nJficO1ehPa5pU/4eOxb91e0vgq87t4ngSwRfsjL1i1gp57NY8+c+tqyKpqiwfEfzaFSHhx7tQa9B\nwagtTPsi4Z2cu5jF21+tI+FcJhZqFTOm9GTUgNYm+wW7VKPlizV7WLq3PKTrGxTAe2P64mBz64eM\nKYvPyuLD8J2Eny//EPNydOT5jl0YHtgMlRmHqEL1KCwr449jR/j18EHyy0pRAGNbtOLFzt2oa2bD\nHl24nMNLC9dz+mIGapWSmUNDGd/NhI85ZVp+XLCbFRuPANCtgx//e3oATmY69OE1hfklrPlzH/8s\njCQ/t/xiUV13R4aM7cjAB9rj5GInc4WGmfo5gyAItcvly5dp0aIFgwcP5vfffwcgt1hDVMJlYi7l\nkpBZQHGZHhtLJX717AnydKKzX12cbAzP3VlWVsajjz7K4sWLmTt3LlOmTLmPr0YQzM+qVasYOXIk\nxcXFWFtXfiSBa+FXw4YN2bx5c5UF2oIgCHISwZd5BV9KnY4Jq1bR9MyZCu1JPj78OWECuhuWF8HX\nndtE8CWCL1mZ4kUsvV5PdFQCq5dEcSgi/vob0aqdN8PGdaKLGdwVfyeSJLFmawzfzttJaZkWr/rO\nvP/SUJr4mm4vkguXc3jp6tCGFioVLw8L5aGuwSZ7wdyQ3JISvtm/l4UxR9FJEg6WVjzXsTMTglpj\nKYawEe4gt6SE7w7sY0HMEbR6PfaWljwb0plJwW3Mav8p02r5ck04f0YeBaBvkD/vjeln0gH27n1n\n+OSHzRQUlVLP1Z63nh1E21aN5C6r0oqLStm25iirl0RdH77XwlJN2KAgho/vjF/TBjJXWJEpnjMI\nglC7rVixgtGjR/Pb3+s5LXmy+mgKZTo9FioFGt2/X7+u/b+lSsnw1h48HuqHv5v99d/n5+czevRo\nIiMjWb58OQMHDpTj5QiCWdm9ezc9e/YkNTWV+vWrZhSBM2fOEBYWhqenJ1u2bBHhlyAIZu/ad6h6\n9epVuH5mbNBhKDgxps1QQGRs8GVouaoMtG633M21GLqpwtjnvJfgSyFJjFq5kqATJyosc8nLi6WP\nPELZTa9DBF93bqvq4MvYtpKSknt6zqoOyIzdJsYsZ+h9MLbtTvuDJElkZmaK4Ks6FRWWsm3tEdYs\n2VfxAuDgIIaPM70LgPcqN7+Yz37awp798QD0D23OS4/1wdbGdIc23H78LG/9tYX8klI8XR2ZNWkI\nLRqabkh3M61ez18nYpi9L5LskhKUCgUPtQzihY5dqGNmPXYE+SVcyeLD8F3sPpcMgI+zC2+G9iTM\n21fWuu7WlmNneGfZVgpKymhU15mvJg8h0KOe3GXdVmpGLu99vZ4TcSkoFDB+eAiPPNQVCzPv+Qvl\nJxxH9iWwesk+DuyJu97esm1jho/vbDI3fJjSOYMgCAKAVqen55MfcsGlNRZqNVr9nb9yqZXlFxFe\n6NuEx7v7cjkzg0GDBnHp0iXWr19P+/btq7tsQagRYmJiCA4O5vTp0zRt2rTK1hsfH0/Pnj1F+CUI\nQo0ggi8zCb4kicEbNxJy6FCF32e4ubFg+nS0jo63PFYEX3duE8GXCL5kJfdFrJLiMg5FxBO+9QT7\nd8dRUly+45jDkE/3IuLgWb74ZStZ2YXY2Vry0mN96de9mdxl3VZxmYbZ6yKu9wzp1dKPDx7qh6NN\n5YeyuB8kSWJr4llmRUUSfyULgE6eDXkrtCfN6rnJXJ1g7nYmJ/Lhnl0k5WQD5fN/vdylO8Hupjtv\n1s3OX87hxfnriEvJxFKt4sUh3RnXtTVKpWn25NTq9MxfHsX8FfvQ6yUCfNx4/ekBBPjUnL/nS+cu\ns/av/RWG+HV2taNr7xaE9m9Jy3beqFTyDMkq9zmDIAjCjYrLdDy68BCRCZe5l29aSgW0bmBD9DdP\nYKGQ2LRpE35+flVfqCDUUOfPn6dx48bs3buXzp07V+m64+PjCQsLo0GDBmzZsgUXF5cqXb8gCML9\nIoIv8wi+em/fTmhkZIXfZbu4MP/RRylwcDB66EgRfFUkgi8RfMlKjotYtwu7AFq0aczwhzvTJayZ\n2c/fdaOcvCK+/m0H2yJiAWjV1JO3nh2Ih7uzvIX9h1MX0/nfkk0kpl9BrVTy/OBuTOrR1myGNjyc\neomPw3dzJC0VgIaOTrzWLZQBfgFm8xoE01em07Hg2BG+O7CP/LLyD7mB/k14tWt3Gjk5y1uckUo0\nWj5duZMV+8u783cNbMz7Y/vh5mR/h0fKJyb2Eh98s4HUjFxUKiUTR4YwaXQnLC1uPfE0V0WFpWxb\nc4S1f+3nQlLm9XZnVzu69WlB9373PwQTwZcgCKZCq9Mz5Y+DRCVmoTOil9ftSHodVtlJ7Hr/ITzq\nm89oBoJgCvLz83F0dGT9+vUMGjSoytd/9uxZevbsSf369dm6dasIvwRBMEsi+DL94KtbZCR9t2+v\n0J7n4MCCRx8l5+pnjwi+KhLBlwi+blTrg6//CrsCW3rRvV9LuvVtQX3PmnUyK0kSO/bGMXvudnLy\nirG2UvP4w6GMGtBatjv270Sn1zNv5yF+2ByFVqfHx82VTx8eQHMv87gYkJKfx2eR4aw9Ux4y1rGx\n5ZmQTjzUMsis5mESzEtOSTE/Hz7I/KNHKNVpsVSqmNamHU916Ii9gZMrU7QtJp53l28jt6gEJ1tr\n3n2wD32CAuQu67aKisv4dUk4f284AoBPwzr87+kBNA+oGcPiXiNJEolxaezZfJzwrSdJOZ91/Xcu\ndezp2rt5eQjWtnG1D4cogi9BEEzFD7vOMmtLHJXIvK5TKODlfoE81dO/8isThFpEkiQsLCxYsGAB\n48ePr5bnOHv2LGFhYbi7u4vwSxAEsySCL9MOvjrHxDB0/foKbUW2tiyYPp3Lbv+OLCOCr4pE8CWC\nrxvVuuBLr9eTEJtGdFQ8R6ISOHnkHBrNvxu+SUtPQvu1qpFh1zVZ2YV8NWcbu6/O5dW2ZUNefbI/\nnvWd5S3sP1y6ksvrf24mOvESAOO6tuaFId2wsbz1g9DUFGs0/Bp9kF8OH6REq8VKpebRtu15vF0H\n7MwkeBDMX1pBPl/sjWBl7CkA6tna8XKXboxq1gKlGfQ0zMgt4O2lW4iMOwfAiA4teG1ET+ysTfdv\n6Nipi3zy42YupmajVCp4aGh7po/tgpWV6R+37pYkSSTEphK+5QR7tpwg9cKV67+zc7AmOMSXtp38\naNvZnwYNXau8d6sIvgRBMAVnM/IZ8E24UfN5GUutVLDpuVD83Uy3t7MgmKK6devy3nvv8fTTT1fb\ncyQkJNCzZ0/c3NzYunUrrq6u1fZcgiAIVe3adygPD497Cr4MLWdMCGNsUGNsyGUoIKvq4OvmtnsN\nzIx9bMsTJxi9ciWKGy7Zl1pZ8dejj5Lm5VVhWRF8VXQ/gi9DQdK9PrYy4ZWxjzVUm7FhmDFtxj7O\n0HtqTPCVkpIigq//kpGaQ3TUWY7sS+Do/gRys4uu/06hUBDQwoPufVvSvW8L6nvV3JNVvV5izbYY\nfl64h4KiUmxtLHlqUg+G9Qky2XlzJEliXXQsH/+zg4KSMuo62PLBQ/3p1tRb7tLuSJIk1sXH8WnE\nHlIL8gEYHNCE17r2wNPA5JOCcD8cTUvlgz07rw+12crNnbdCw2jv4SlzZXcmSRJ/Rh7jq7V7KNXq\n8KrjxCfjBtDax0Pu0m6rtFTDb0v38tfaQ+j1Eh7uTsx8rC8hrb3lLq3aXAvB9mw5QeS2k1w6l1Xh\n9+4ezrTt4k/bTv4Eh/ji6Gxb6ecUwZcgCKbg5b+PsfLIpSoPvka18eTz0cFVtk5BqA38/f2ZOnUq\nb7zxRrU+T0JCAmFhYdStW5dt27aJ8EsQBLMhgi/TDL6anDnDQ8uWobrh4r9GrebPSZNIbdLklseK\n4KsiEXyJ4OtGNS74yrlSSGJcKgmnUzkbm0Lc8YukXcqusIxbAyfadPKnbWd/Wnf0xcnFrqrLNzkn\nz6Ty9e/bOR2fBkDntj689Fhf6tcz3QDmcl4hH/6zg+3HzwLQq6Uf7z7YFxd707+oGXXhPJ/vDedY\nevn2blHPjbdCwwjx9LrDIwWh+ukliTVxsXweuYe0wgIA+vsFMLNzV/xc68hc3Z0lpGXx2uKNxKZk\nolQomNyjLU8N6IK1Cc+jdSo+lc9+3EzC+csA9OzchBmTelDfzUnmyqpf2qVsjkSdJXpfAkf2JVCQ\nV3z9dwqFAu8AdwJaeODf1AO/pg3waVIfW7tbvwz8FxF8CYIgt9xiDR0+2kaZ7tYvdJVlqVJy8I0+\nONnUvB7DglBdOnToQI8ePfjyyy+r/bkSExPp2bOnCL8EQTArIvgyveDLOzmZCUuWYHFDaKBTKlk+\nfjxnAwONHv5RBF93bhPBlwi+ZHWni1g6rY6MtFwSYlNJiE0l8eq/lzPyblnWzsGaoPY+tOnsR9tO\n/ng2rlPlwyyZqqzsQn5ZvIcNO08CUNfVnmenhhHWuYnJboNrvbw+W7WL3KIS7KwseWV4D0aGtDDZ\nmq+Jz8ri44jd7D6XBEBdW1te6tyN0c1aoDLwYSEIcirSaPjl8AHmRB+iRKtFpVAwpkUrXujUlbq2\nle+FU500Wh3fb9rLH7sOo5ckvOu58MHYfibd+0ur1fHX2kP8sTyKklItlpZqJowM4eHhHWrk8IeG\n6HR6zp5OuR6EnT52AU1ZxRMihUKBRyNX/Jo2wDewAf5XwzCXuvYGT7pBBF+CIMhv04lUnlgcXW3r\n//nhtgxoWbPmihSE6tS3b18aN27M3Llz78vzJSYmEhYWhqurK9u2baNOHdO/mUwQhNpNBF+mFXx5\nXLrElIULsbohuJAUClaOHs2poKDbrk8EXxWJ4EsEXzcy+eBrf/gpcrOKSU/JIT0lu/zfS9lkpueh\nN3BHpY2tJT6B9fELbIBf0wb4N/PAp0l9VKraFTpoNDr+3hjNvGVRFBWXYaFWMXZoOyY90AlbG9Od\nEyc9t4AP/t7G7lPlwVGXJo15d0wfGriYbs80gOziYr7Zv5fFx4+hkyTsLSx5vH0HprZuh62BDyZB\nMCXpBQV8eyCKZSePl++/lpY8E9KJycFtsTRwMmRKYs6l8vbSLSSkX0GhgIe7t+GZAV2xNeEgKSMr\nnx8X7GZbRCwA9es5MmNyT3p0CjD5cL+qlZVqOHPy0vWbWBJiUzl3NgOt9tYTWAtLNW4NnKnv6YK7\npzPuHs64e7jg7uGCo6sVXo3cRfAlCIJsPt8cy5zwRDS6qv9qZaFS8Fh3X17u37TK1y0INdWYMWPQ\n6XSsWLHivj1nUlISPXv2FOGXIAhmQQRfphN8eebkMG3+fGyLiyu0rx82jCMdOvzn+kTwVZEIvkTw\ndSOTD776tHgFldLwBcw6bg54+9fHr1n5HeG+gQ3waOR62zvCa4sDR5P55vcdnLt0BYAu7Xx5ZkoY\nDT1cZK7s9iRJYtXBU3yxejf5JaU4WFvx8rBQRph4Ly+NTsfi48f4Zn8UuaUlKBUKxrUM4vmOXahj\n4j1mTE2hppTLpYUUacso1Wsp1Wko1Wkp0Wkp02sp0Wko1WvR6vVYKlVYqdRYqSywUqqxVqmxVKmx\nVlpgpVJjr7airrU9VirTHfrOFCVcyeKjiN3sSi4Pnhs7OfN6tx708fUz6b/DMq2Wn7fs5/edB9Hp\nJRrWceK9sf3o4GfaQ4sePXmBr3/fwdnkTADatWrEc9PC8G1UT+bK5KXRaDmfkElCbAoJsWkkxKZw\nPjGTvJyi2z5Gp9ew7eTnIvgSBEE2jy86xOaT6dW2/v4t3PllQvtqW78g1DSPPfYYCQkJbN++/b4+\nb1JSEmFhYTg7O7Nt2zbq1q17X59fEATBWNeuuzZq1KjCdVRjww9j24wJvowNjSoTchkbQhkTalVl\nsOaSnc30P/7AIT+/QvvOgQM50KNHhbbKBF83txkbfBm6FmRsm6HIwdg2Y4Kvew1qwPjgqzJhmDHB\nlLHrqkzYZmwYZuz6jAm+jA0z79Sm1+s5f/78PV/rMfmrws2CGuLZyO3qXd3OuHuW/1uvgTOWliZf\n/n2VeP4yPy3cTVR0+UVrrwYuPDc1jM7tfGWu7L+lZefz7t/biIxNBiC0mQ9vP9gHdyd7eQu7g93J\nSXwUvouz2VcDxoaNeLN7T5rWrd0XrW8mSRJZpYUkFWSRWpRLZkk+mSUFZJYWkFGcX/7/pQUUaW89\nmFaWk4U1da0dcLN2oJ61/dWf8v/3tHXGx6EODhbWVf685srPtQ6/DxvF7uQkPgzfRUL2FR5fv9rk\n921LtZpnB3Wldyt/3lq6hfjUy0z7cTkPdQ3mhcHdsLUyzV6urVs05LfPJ7J2Wwy/Long8PHzTH1p\nAUP6BDFtTBfq1IL5Jw2xsFDj17S81/aNiotKr/f6rvBvSjZ5eQVwUqaCBUEQgOKyqp/b60Yl1bx+\nQahpXFxcyM7OvvOCVczHx4ddu3bRs2dPevfuzfbt20X4JQiCIBjkkJ/PpEWLbgm9IkJDbwm9BEG4\neybf40vcvX1nl9Jy+H3ZXrbsOYUkga2NJZNHd2LM4HZYWJjuMGU6vZ4/I47y3aa9FJVqcLSx4rUR\nPRnSrplJ9y45npHO55F7iLxwHijvFfNG9x709jHtXjHVrUyv40LBFRILLpOcn0ViwWUS8y+TXJBF\nnqbkjo+3Vqmpa2WPndrqam8uNVbKq726rv+3GrVCiUavo1R/tTeYTkuJvrx3WNnVtnxNCZdLCtBK\nd75IVNfKHl+HuvjY18HHoe71//awdUZZi99PjU7HkhPH+Hrfv70ZRzVrzvMdu+DhYLpDj2q0On7d\ntp+52w+i1eup7+zAG6PC6NnCT+7S/lNefjFz/opkzZZj6PQS1lZqHhzcjnHDO+BoL8LZOxHnDIIg\nyE30+BIE0/Lpp5/yyy+/kJSUJMvzJycnExYWhqOjowi/BEEwSaLHl7w9vmyKipg6fz7umZkVfn8o\nJIRNQ4ZgYeRrED2+uKc20eNL9PgSTNzlKwX88XcUa7cdR6fTo1IpGd43iKljOuPiZNo9BU5eSOe9\nv7dx+mIGAL1b+fPGqDDqOZpuL6+U/Dw+3xvOmrjyeXkcLK2YEdKRSUFtsDLwoVKTafV6EvIzOXbl\nIjHZl4jJvkRifia62+ToDhZW+NjXxdPW+YbeVw642ThQz6r8vx0srKo0ONRLEjllRWSWFJBRkn+9\np1lGST4ZxflcKMwmuSCLy6UFXC4t4MDl5AqPt1KqCXRyJ9jVkyAXL4JcPGlo51Jrwk0LlYrJwW0Z\n1qQZ3x6IYvHxY/x96iRr4+KY1qYtT7bviL2BEzG5WahVPD2gC32CAnhr6RZOX8zgmd/X0LuVP6+N\n6El9Zwe5SzTI0cGGlx7twwMD2/Dzoj1EHExg4T/7Wbn5KA+PCGH0oDbYWJve9hYEQRDK+dWzx0KV\nUW1zfPnXM91zZEEwRc7OzuTk5Mj2/N7e3td7fvXq1Yvt27dTr55pjp4gCIIg3F+WpaVMWLLkltDr\neHAwmwYPhlpy3UkQqpvo8WWGcvOLWbzyAH9vPEJZmRalUkG/0GZMfbALnvWd5S7vPxWUlPL9pr38\nGXEMvSRR39mB10eGEdbSdHtjFGk0/HL4AHOiD1Gi1WKpVDEpuDVPdeiIs3Xt2DfTivOIuXKRY9mX\niLlyiVM5KRTpKt4JoICrwwfWxde+Lj4O5T2ofOzrUtfKziQDI70kkVqUS2LBZZLyL1forZZZUnDL\n8i6WtrRy8STI1ZMgF09auXjibFk79oHknGxmRUWwPv4MAHVtbZnZuRsPNGuBykTnVdTp9fwVeYxv\nN0ZSVKrB1sqCZwZ0YVy31iZb8zUnzqQw5+rwhwAuTrZMHt2JYX2DsLSoXUG7McQ5gyAIctt0IpUn\nFkdX2/p/frgtA1o2uPOCgiAAsHTpUsaNG4dWq5V1DvBz584RFhaGvb29CL8EQTAposeXPD2+bBUK\nJixZgs+5cxXa45o2ZcVDD6G/2hPL2NcvenxxT22ix1ft6PElgi8zkl9Ywt/ro/lr7SEKi8p3vJ6d\nApj+UFd8Gpr20AmSJLHjRAIfr9xJRm4BKqWCCd3b8lT/TiY7/45eklgde5rP94aTXlgeggwOaMKr\nXUPxcnSSubrqla8pYX9mMpEZCezNSOB84a3j43vZOhPk6kUrFw+CXbxo5lwfa9WtH8LmKresmBM5\nKcRcKe/RFnPlIlfKim5ZrrlzA7q6+dLFzY+2rg2xVNXsUOJIagof7NnF0fRUAFrUc+Ot0DBCPL1k\nruz20nLy+XTVLrYfPwtAcy833h7dhxYN3WWu7M4OxZzjlyXhnI5PA8C9rgNTH+xC/x7NTXoo2/tN\nnDMIgiC33GINHT7aRpmu6ufislQpOfhGH5xsas55liBUt82bNzNgwACys7NxdnaWtZbz58/Ts2dP\n7Ozs2L59O25ubrLWIwiCAP9+hwoICKgQeBgKMIwNuQyFKcYEX4bajA25jF3OmEDL2Mca+7ib25Q6\nHeNXrKBJXFyF9nN+fvw9dSq6G15LdQdflQkzK3Nju7EhlzFt9yP4MjZIute2ew3M7uaxxr4uQ8sZ\nsz0NLXNzSAnGv8837iN6vZ74+HgRfNVkOXlFLFsXzYqN0dcDr5DW3jw2rhtN/evLXN2dpWbn8fE/\nO9l1KhGAVo3q8/bo3jT1NN0T/sOpl/hwzy6OpZdfbG7p5s5boT3p4GG6F/crQ6PXcTz7ElEZiURm\nJBKTfbHCsIX2aqvrvZyCXLwIcvWkjpVpD6dZ1SRJ4lJRztUQrDwMO5mTQpn+34O5jcqC9nUb08XN\nly71fAlwdDPJnm6VJUkSa87E8nnkHlILykPhAX4BvNYtlEZOzvIW9x92Xg3f03LyUSoUjOsWzIwB\nXbC3vvUE2JRIkkTEwQTm/BlB4vnLQHkANmFkRwb1aomVZc0OW40hzhkEQTAFL/99jJVHLqHVV93X\nK7VSwag2nnw+OrjK1ikItcGBAwfo2LEjiYmJ+Pj4yF0O58+fJywsDBsbG3bs2CHCL0EQZCeCr/sb\nfCkkiVGrVhF84kSFZS55ebH8sccou+k5RPAlgq87tYng685E8GXC0jJy+WvtIdZuO05pWflO1K5V\nI6Y82Jk2LRrKXN2dlWm1zN8Vza/b9lOi0WJvbcmzA7sypkuQyQ4zlpSTzReR4WxKiAfAzc6Ol7t0\nZ2TT5ihrWICRWVLAztQ4dqTGcTDrHEXafw96aoWSYFev8gDHzY+Wzh6oTfQ9k1OxVkN01nkiMxKI\nzEjgTF5Ghd/XsbKji5svvRoE0t3NHzsL0w5Y7laxRsOc6EP8cvgAxVotFkolE4JaM6NDJ1xM9Lhd\nVFrGD5ujWBx+BJ1eop6jHS8NDWVQm0CTDyl1Oj3b98ax4O8oki9eAcDV2ZYHB7djRP9gHOysZa5Q\nPuKcQRAEU3A2o4AB3+yp8uBr03Oh+LuJOb4E4W6cOXOGwMBAoqOjadOmjdzlAHDhwgV69uwpwi9B\nEEyCCL7uY/AlSQzZuJGQw4cr/D7DzY0F06ejN9AzWQRfIvi6U5sIvu5MBF8mKOFcJktWHWRbxGl0\nV784d27rw6QHOtGqqafM1Rln96lEPlu1iwtZuQD0D27CK8N74OZkml/ac0qK+XZ/FIuOH0Or12Ot\nVjO9TTueaBeCnYEPL3OVlJ/F9tRYtqfGcuzKRW784/e1r0snNx+6uvkRUtcb+xoW0twPGSX513vN\n7ctMrDBPmIVSRed6vvRuEEivBoHUtTbNv4V7kZqfz6yoCFbGnkICHCyteCakE5OC22Bp4MTXFMRe\nyuCDv7cTc768V2dbX09eHxlGoIfpz7ug10vs3n+GhSv2cyapPGy1tbFkRL9gxgxpR13XmrNvGas2\nnzMIgmBafth1lllb4qiK7EupgJn9Anmqp3/lVyYItUxmZiZubm5s376dXr16yV3OdRcuXCAsLAwr\nKyt27NiBu7vpD70tCELNJIKv+xd89dmxg9DIyAq/y3ZxYf6jj1Lg4FCpOc5E8MU9tYngSwRfsqpt\nF7EkSeLIyQv8ufogUdFJAKiUCvp0a8b4ER3wa2z6F2MBzmVm89nq3YSfLn8Nfu6uvDYijE5NGslc\nmWEanY7Fx4/xzf4ocktLUCoUjG7Wguc7daG+vYPc5VWaXpI4mZPC9pRYtqXGkZCfef13lkoVXd38\nynsjufvjbuMoY6U1jyRJJOZfZk96PNtT44jOOn89aFQAbVwb0tujKb0bNKWxvaucpVaZU5kZfBqx\nh4gL5ZO0NnZy5n/dQunr62+Svan0eonVB0/y9YYIrhQUo1QoeLBzEM8M7IKTren3npIkiUMx51i0\n8gCHj58HwEKton+P5jw0rD3eXnVkrvD+qW3nDIIgmC6tTs+UPw4SlZh1/Qa2e6FSKujiV4d5kzug\nVole94JwtzQaDZaWlqxYsYJRo0bJXU4FFy9epGfPniL8EgRBViL4uj/BV7fISPrt2FGhPc/BgQWP\nPkqOi8ttHyuCLxF83alNBF93JoIvmZWUatiy5zQrNkSTcHXuFitLNUP7tGLs0PY0cHOSuULjFJWW\n8eu2AyzYHY1Gp8Pe2pKn+nfmoa7BWJhgjw9JktiZnMTHEbtIzM4GoEvDRrzRvSfN6ppHyPhf4vMy\nWHM+hvUXj5NanHe93dHCmh71m9CnQVO6uvthp645vdlM3eWSAnalnWFbSixRmYkV5gYLdHRnWKMg\nhni1ws3G/APXXclJfBS+i4Ts8uH4Ons15M3uPWlWzzSHc8krLuGnzfv4M/IoOr2Es601zwzqygMd\nW5rssKw3O302lcWrDrJ73xmufaq3D2rM6EFt6NzWF1UNv2haW84ZBEEwD8VlOh5bdIjIs5fvqeeX\nUgFd/evy64T22Fia3nm0IJgLe3t7vvnmG6ZPny53Kbe4ePEiYWFhWFhYsGPHDurXN/25uwVBqFmu\nfYdq3rx5hXCjMoGIoTZjgi9jQ577EXwZWp+1dcUbY40NvjodO8agNWsqtBXZ2vLnE0+QdcNND4Ye\na2g7GbvcvQZfhoJLQyFXVQdfhtqMCU4qE3wZCn6MXa4q20pKSm5Zxtig6n4EX8aEYYa2272GmTe3\n6fV6Tp06JYIvc5OSnsPKTUdZt+ME+QXlO7mLky0j+gUzamAbXJxsZa7QOJIksfFIHLPWhZORWz6s\n24gOLXhucFfqOtjJXJ1hcVmX+Th8F+Hny3uleDu78Hq3UHr7+JlkrxRjZZTks+HiCdacj+F0btr1\n9vo2jvRuEEjvBk1pX7cxFkpxAUVuhZpSIjIS2J4ay660M+Rryj+sFECner4MaxRE3wZNzXpOMI1O\nx58nYvh6/15ySkpQAGNatOLFTl2pZ2eax4b41Mt8umoXB85eAKCZlxv/G9GTNj7mMcQswPmUKyxd\ne5jNu09SUlp+8tHAzYmRA1ozpFdLHB1q3ucp1PxzBkEQzI9Wp+fX8ES+2HwavU6PQnXrBYibqZXl\n56Ev9m3CY919RU8vQagkLy8vXnjhBV566SW5SzHo0qVL9OzZE7Vazc6dO0X4JQjCfSWCr+oNvlqd\nOMHoVatQ3HDZvdTKiqWPPUaal9cd1yeCLxF83WldIvi6MxF83Uc6nZ79R5NYueko+44kXb8rv1lA\nfUYPbEtYlyZYWtz5S7GpOHE+jc9W7+JocioALRq687+RYQQ3biBzZYalFxQwe18kf58+iV6ScLC0\n4tmOnZkY1Npk5yG6k7yyEramnGbdxePsz0y6PpSeg4UVAzxbMKxhEG3rNEJpxoFeTVem17EnLZ41\nF2LYlXYGzdWeYFZKNWENAhni1ZLu7v5YGnHBzBTllBTz7YF9LIo5ilavx9bCgsfaduCRtu2xNXBC\nKTdJkth87AxfrtlD+tUwf2DrQJ4f3A0PV/MZDjSvoIQNO07wz6YjpKSXz7VoaammT9dARg5oTTN/\n0zxO36uaeM4gCIL5y8nJwbd1Z9pPeI1k3CjT6bFQKdDo/v36de3/LVVKRrT24LFQP/zdat9cjYJQ\nHVq1asXw4cP58MMP5S7lti5dukRYWBgqlYodO3bQoEHNOkcTBMF0ieCr+oKvJmfOMG75clQ3XMDX\nqNX8OWkSaYGBRtUhgi8RfN1pXSL4ujMRfN0HaRm5bNpzivXbj5OaUT7snKWFirAugTwwsA3NA8zr\n5DY1O49vNkSyPjoWAFd7W54d2IWRIS1RKk0vYCnWaPg1+iC/Hj5IsVaLWqlkXMsgnuvYGVcb8+hZ\ndyO9JBGVmcjypGh2pMVdD0oslCpC3f0Z1jCIHvWbYGWmQUltllNWzOZLJ1l74TiHs85fb3e0sGaQ\nV0vGeLejmbN53gmamH2FTyP2sC0pAQA3Oztmdu7GqGYtTDKYLSrV8NuOg8zfdYhSrQ4rtYqJPdoy\nvVcH7K3NpyeeTqcnKjqJfzYd4cDR5OvtTf3cGdyrFb27NcXR3vTnM7uTmnTOIAhCzfHee+8xe/Zs\nkpOTUVjZEZVwmeOXcjmbWUBJmR5rSyX+9exp5elEZ7+6ONmY3g0hgmDOQkNDadWqFT/88IPcpfyn\na+GXUqlk586dIvwSBOG+EMFX9QRf3snJTPzzTyxuCAN0SiXLx4/nbGCg0cMkiuBLBF93WpcIvu5M\nBF/VpKi4jF1RZ9i46yRHTl643t7AzYmR/YMZ1Kslzo7mFboUlJQyd/tBFu6Jpkyrw0KlYkJoGx7r\nE2KSF4L1ksTq2NN8sTectMLynhv9/Px5pUt3fF1cZa7u7mWU5LPy3FH+To7mYlEOUD40Xsd6Pgz2\naklfj2Y4WZrf34pgWEpRLhsunmD9xePE5qZfb2/l4sHoxm0Z7NXSLIdC3H/xAh9H7OZ4RvlralnP\njTdDwwjx9LrDI+WRciWPr9dHsPFoHACu9jY83b8zozq2MrshqC6mZrN6yzHW7zhB3tUhdi3UKrp2\n8GNgzxZ0bO2NWm2evV/N/ZxBEISaJzc3F29vb5577jneffdducsRhFpp2LBhODg4sHjxYrlLuaOU\nlBTCwsJQKBQi/BIE4b4QwVfVB18eKSlMXbgQqxtCBUmhYOXo0ZwKCvrPx95MBF8i+LrTukTwdWci\n+KpCer1E9InzbNx1kt37zlyfX8XSUk1oiD8De7agQ7C3SfaK+i9anZ5/9h/nh81RXCkoBsqH/npu\ncFc8XZ1krs6wQymX+DB8FzHp5XNdmfrF9dvRSXoi0hNYnnyYXWln0F39c/WwdeKBxm0Y1bgN9W3M\nZ/g14d7E5abzd3I0ay7EkKcp/1C0VVsy2KslD3q3paWzh1nNT6eXJNbEnebzyH9D6f5+AbzWNZTG\nzs7yFncbMedS+WLN7utDu/q5u/Li0FC6N/U2q20PUFqqYff+eDbuOsmhmHPXh911cbKlX/dmDAhr\nQYC3m7xF3iVzPGcQBKFm++CDD/jyyy9JTk7GxcVF7nIEoVaaPHkymZmZbNiwQe5SjHIt/ALYuXMn\nHh4eMlckCEJNdu07VJs2bSqEIIa+3xobchkKTqoy+DL0WGMDrXsNuQw91tC6PLKzmfTbb9gWF1do\n3zxqFDGdOt11HZXZJsa0GXqvDL2nxgZfhtqMDbkMtRkKRG4OwyoTfBkb8lR1CHVzm6FlKhOGGVtb\nZbaJMcGXMcHl7dpu3B/0ej1HjhwRwZdcJEkiPimDnVFn2LznFBmX86//LriZFwN6NiescyD2dubX\nM0OSJMJjk/lq7R4S0q8A0Nq7AS8P60GQic7jdSE3l8/37mF9/BnA9IdTu5304jz+To5mxbkjpBaX\nD4+pVigJaxDIGO+2dHbzRaUwr94mQuWV6DRsvnSK5cnRFYZCbOZUn9HebRnWMAh7M+oFVqzRMCf6\nEL8cPkCxVoulUsXk1m14ukNHHK1Mb/g9SZLYGhPP7PURXMwqnzerU0AjZg4LJdCjnszV3ZuMrHw2\n7z7Fpl0nOXfpyvV2f+969O/RnJ6dmtDAzTRvcLiRuZwzCIJQO+Tl5eHt7c2MGTN4//335S5HEGqt\n5557joMHD7J37165SzFaamoqYWFhSJIkwi9BEKqVCL6qLvhyyc7mkfnzccjPr9C+a9AgDvbseU91\niOBLBF/3UocIvioSwdc90On0nIhLYff+eMIPxF+ftwvKhzIc0LM5A3q0wLO+s3xFVtLJC+l8tS6c\nA2fLh2n0quPEC4O70TcowCR7N+SWlPDjof3MP3qEMr0Oa7WaR9u257G2HbAz8KFiiiRJ4siVCyxM\nOMDWlFPXe3c1snNhtHdbRjRqTT1rMdm5UC4hL5O/z0Wz6vwxcsrK7yiyU1syslFrxvuG4ONQR+YK\njZdWkM+sqEhWnD4JgIu1Nc927Mz4lsFYGDgZk1uZVsufEcf4Zdt+8otLUShgaLvmzBjQmQYu5tkD\nU5IkYhPS2LjzJNsiYq8PhQgQ4ONGj44BhHb0x6dhXZP8DDDlcwZBEGqfjz/+mE8//ZTk5GRcXc1v\neG1BqCneffddli5dyunTp+Uu5a6kpqbSq1cvdDodO3fuxNPTU+6SBEGogUTwVTXBl0N+PtPnz8c1\nO7vCMhGhoUQNGXLPdYjgSwRf91KHCL4qEsGXkco0Wg4fP8+e/fFEHEwgO7fo+u9cnW3pHhJA325N\nCWrmZXZDGd4oKeMK323cy9aYeAAcbax4rG9HxnUNxtLAgVNuGp2OP0/E8M3+vWRfPTCMCGzGzC7d\n8HAwjwvQpTot6y8eZ1HCAU7nlg/NqFIo6OvRjLE+7Qmp621WvdWE+6tMp2Vbaix/Jh7iUNa56+3d\n3f2Z4BtCN3d/s9l/YtLT+Dh8NwdSLgLg7ezC691C6e3jZ5JhS05hMb9s3c9fe4+h1emxVKsY2yWY\nR3p3wNXevOZwvFGZRkvU4US2R8YRFZ1Iccm/Jzpe9Z0J7RRAaMcAmvs3MJnPO1M7ZxAEofbKz8/H\n29ubJ554go8++kjucgShVvv666/57LPPSE1NlbuUu5aWlkZYWJgIvwRBqDYi+Kp88GVTVMS0BQtw\nz8ys8PtDISFsGjIEKyPWdbs6RPAlgq97qUMEXxWJ4Os/pGXmcSjmHAePJRMVnURR8b87j4e7E6Ed\nyy/+tQhogEpl3sPOpWXn89OWfaw+dBKdXsJKrWJct9Y80jsEJ1vTHHJsZ3ISn0TsJiG7fHiujp5e\nvN69J63c3GWuzjhpxXn8lXiQZcnRZJeVB6mulrY86NOOh3zai7m7hLsWl5vOooT9rL1wnFJ9+QdP\nYztXHvYLYWSj1mYxDKIkSWxLTODTyD0k5ZTfMdXZqxFvdO9B83qmOe/Uhawcvtuwl41H4wCwtbJg\nco92TOrRFntr09/m/6W0TMuhmHPs2R9P5KEEcvL+Ha+8rqs9Xdr50iG4Me1aNsLRQb7AyRTOGQRB\nEAA+/fRTPvroI5KTk6lTx3x6XwtCTTR//nwef/xxgxeQzEFaWhq9evVCo9Gwc+dOvLzMa75qQRBM\nmwi+Khd8WZaWMmXRIrxSUir87nhwMKtHjQKl0ujaRPAlgq8bieBLBF/VoqCwlCMnL3DwWDIHY85x\nIaViN1W/xvUI7ehPaMcA/BvXM8keCHcru6CYuTsO8FfkMcq0OlRKBSNDWvJEv064O5nmsHqxlzP5\nKHwXkRfK5zhq7OTM/7qF0tfX3yzek5grl5h3di9bU05fH86wuXMDJvqGMNCrJVYq0+tZJ5iX7NIi\nVpw7wpLEg6QWl89FZau2ZFSj1kz274SXnYvMFd6ZRqdj8fFjfLM/itzSEhTAg81b8mLnrrjZmeix\n6VIG327cS/jpJABc7Gx4pHcIY7sEYWVh/n/XWp2emNMX2bP/LHsOxFeY01KhgKZ+9Wkf1JgOQY1p\n2dQDy/v4mkXwJQiCKSgoKMDb25tHH32UTz75RO5yBKHWW716NSNGjKC4uNjghUxzkJ6eTlhYGGVl\nZezatUuEX4IgVJlr36FCQkIqBB6VCbkMLVeVwZehtuoOuQy12SoUPLRwId5JSRXa45s3Z83Eieiv\nbpvK1GZoOWO3naHlbn6/KvOeVuba672GXIaWM7SMsYGOoeUMhUZVHTgZE3zdjzCsMsGfMcHXvb6n\nN7fp9XoOHDgggq97UVRcRuzZNI6cvMChmHOcik9Fp/93c9jaWNK2ZUM6BDWmU1tfs56z62aFJWUs\n2BPN/F2HKSwt/wMY0LoJTw/ognc907wonllUyNf79rL05HH0koSjlRXPhHRmYlBrLE1wHqAbSZLE\nnvSz/BYfycHL5cPRqRVK+nk2Z4JvCK1dvcwitBPMi1avZ2daHIsTDrD/cjIAShQM8GrBtIAutHBu\nIG+BRsgpKebbA/tYFHMUrV6PrYUFT7YPYXqbdlirbz3BMwWHEy/yzfpIjiSX3/lV39mBp/p1Ymj7\n5qjNvHfwNZIkEZeYzv4jyRyKOcfxuEtotf+enFhbqQlu7kWHIG+Cm3vi39gNC4vqO06L4EsQBFPw\nxRdf8N5775GcnEzdunXlLkcQar09e/bQo0cPUlJSaNDA9M97byc9PZ1evXpRWlrKzp07adiwodwl\nCYJQA4jg696CL6VOx/gVK2gSF1dhmXN+fqyYNg3dDc8jgq9bieBLBF93Wk4EX/dAp9OTdCGLU/Gp\n13+SL2ahvyHoUikVNG/iQYfgxrQPakxz//qo1aYdqNytolINS/ceY97OQ2QXlg9Z1a2pN88O7Eoz\nL9McRqxEq+G3I9H8fGg/hRoNKoWCh1sF82zHzrjamPY8OmV6HesvHOf3+L2czS8f89debcU43/Y8\n7BuCuxjOULhPzuSmM+9sFOsuHEcrlX+IdKrnw/SALnR1M805tG6UmH2FTyP2sC0pAYAG9va83KU7\nwwKbmeQcZpIkEX46iW82RHIm9TIA3vVceKJfJwa0boLKwMmjOSsuKePoqYscOnaOgzHnSDx/ucLv\nLS1UBPi40TygwfUfD3enKtvvRPAlCILcCgsL8fHxYerUqXz22WdylyMIAhATE0NwcDCnTp2iWbNm\ncpdTKdfCr5KSEnbt2iXCL0EQKk0EX3cffCkkiVGrVhF84kSF31/y8mL5Y4+huWl9Ivi6lQi+RPB1\np+VE8HUHpaUazqdkk3Qxi7PJGZyKTyUuIZ3ikopvlkqlxN+7Hq0CPWgf1Jg2LRpiZ2ve87HcTlGp\nhmV7jzFv1yGuFJQHXm28PXhmUFc6+JnmcAl6SWLtmVg+jwwntaB8SK1e3r681i0Uf1fTnjMhX1PC\nsqTDLEzYT3pJee1u1g5M8uvIWJ/2ZjHXklAzpRblMv/sPpafi6ZIW/7hF+jozrSALgz0aoGF0rTD\n/r0XzvNx+C5OXS4Pklu5ufNG956EeJrocUwvsfFoHD9s2suFrPJhJ33cXHmib0f618AA7JrL2QUc\njjnP4ePnOBGXyvmUK7cs4+xoQ/OABjTzr49v43p4e7riWd/5nm44EcGXIAhymzVrFm+//TZJSUm4\nuZnmzWSCUNtcuHCBRo0aERkZSZcuXeQup9IyMjLo1asXxcXF7Ny5k0aNGhlcLrdYQ1TCZWIu5ZKQ\nWUBxmR4bSyV+9ewJ8nSis19dnGxMc+QEQRDuHxF83WXwJUkM2biRkMOHK/wuw82NBdOnI7ncOnqW\nCL5uJYIvEXzdaTmzCb4kSeLdd99lzpw55Obm0q5dO3788Udatmx5x8cacxGroLCUc5eukHzxMucu\nXiH5YhbJF7NIzcjF0Ktq4OZY4W7zJj5uWFnV7BM+Q4FXUKP6PNGvE92aeptsL49DKZf4KHwXx9LT\nAGhWtx5vdO9Jl4aGT+5NxeWSAuadjWJp0iEKr4YK/g71mB7QhUENW2Fp4qGCUHvklZWwNOkQCxL2\nc7m0AIAGNo5M9u/MGO922JjoMIIAOr2elbGnmBUVSXphee0D/AJ4tWsojZ2d5S3uNjQ6HWsPnebX\nbfu5dCUPqB0B2DV5BSXEnk2r0Os6J6/4luXUaiVe9V3wblgHb09XvBvWpbGXK40auPzn57UIvgRB\nkFNRURE+Pj5MnDiRL7/8Uu5yBEG4qqCgAAcHB9atW8fgwYPlLqdKZGRk0Lt3bwoLC9m1a1eF8Ots\nRj6/7Elk9dEUynR6LFQKNLp/L4xc+39LlZLhrT14PNQPfzfTnDtXEIRyUVFRvPHGGxw8eBCVSkXz\n5s2JiIhAqVQSExPDjBkzOHz4ME5OTjz22GO88847Rl/nE8HX3QVffXbsIDQyskJ7tosL8x99lAIH\nB6ysbr3BXQRftxLBlwi+7rSc2QRfX3zxBd9++y0bNmzA39+f999/nwULFhAXF4e9/X+fYF07AG8P\nP0FeoYbMKwVkZuVX+Lew6NY3DsqHLPS8euHMp2EdmvnXp3lAA1yd7arjZZqk2wVeT/bvTNfAxiYb\neF3IzeWzyD1sOHsGgHq2dszs0o1RTZub9IXh9OI8fovfy7Kkw5Tqy//gQ+p6My2gC6Hu/ia7vQWh\nTKdlzYUY5sVHkVhQPjxdHSs7pvh3ZpxvB+zUt55smYoijYZfDx/k1+iDlGi1WCpVTG7dhqc7dMTR\nyjQnMK/tAdg1kiSRkp7LqfhUYhPSSL6YxbmLV0jLzLvtY5wcbKhXx556rvbUq+NQ4V8HOzUtAhuJ\n4EsQBFnMnj2bN954g6SkJNzd3eUuRxCEqyRJwsLCgvnz5/Pwww/LXU6VyczMpFevXhQWFrJz5048\nvRryS3gis7eWf4fW6u98iUetLP9++kLfJjze3bfGzEMrCDVJVFQUAwcO5Ntvv2X06NFYWlpy+PBh\nQkJCKCgooEmTJkyZMoW3336bs2fPMnDgQF566SVeeOEFo9Z/7bpr9+7dKwQehq5fVSYMMyb4MjbQ\nMTY0qqr5vK7psW8fvbdurdCW7+jIn089Ra6r612tqzJh2L2GXIaWMzbkkiv4MiY4MRS4VCYMq0yQ\ndK9hWGXWZWwYZuzrMjYgNCb4upeQ65ob9xGdTkd4eLhpBl8+Pj48//zzPPfcc0D5hmjQoAFfffUV\nEydOrLCsRqOpsKGKi4upU6cOnYZ/jEpl+C5vS0s1jTxcaOxZHnA19nKlsWcdGjZwwcKidvasKSot\nY9nemAqBV6tG9XnKxAOvvNJSfjy0nz+ORFOm12GtVvNo2/Y81rYDdgY+AExFSlEuc85EsOLcETT6\n8j/q3g0CeaxJd4JcPWWuzvRp9BrytfnkafLJ1+STp81Hoy9Do9eikTRoJS3aa/+t16LRa9ChR61Q\noVZYYKFUo1aosVBaYKFQo1ZaoFaosVZZ4aB2wNHCEQe1Aw4W9qgUtfOYYCy9JLEzNY6f48I5kZMC\ngJOFDVMCOvGwbwgOFqYZJAGkFeQzKyqSFadPAuBibc1zHbswvlUwahMNkv4rAOsX3KTWXnwoKi7j\nfMoVki9klffovpBF8qUsUtJz0eluPSG6RqfTsG/16yL4EgThvisuLsbX15dx48bx1VdfyV2OIAg3\nqVevHu+88w4zZsyQu5QqlZmZSe/evckrKqH9C78SfakQI/KuWygV0MWvLnMmtsfGUnxfEgRT0r17\nd0JCQpg1a9Ytv5s/fz4vv/wyKSkp1wONb775hm+//ZaEhASD67vddVcRfP13W/vDhxm2YUOFtiJb\nW/568kmybrjhSQRfxhHBlwi+7tRWlcHXrX8dVSQ3N5fk5GRCQkL+fTK1mjZt2nDkyJFbgq+PPvqI\n995775b1dAhqhEf9urfe4V3HHkd7a5MNcu63nMJilkQcZUnEUXKLynf8Vo3q86SJD2mo1etZevI4\nX++LJKu4PKgbEdiMmV264eHgKHN1t3ehMJtf48JZff4YGkmPAujv0ZwnmnanqVN9ucszCWX6MjJK\nMskozSC9JIOM0gxyynLI0/4bchXrbh3qrLrYq+2vhmEOOKgdcLV0xd3aDTererhbu1HHsg5qZbUd\nEk2eUqGgt0dTejUIJCIjgZ9i93DkygW+ObWTefFRTPALYaJfJ5wtTS9UqG/vwBd9BzApuA0f7dnF\ngZSLvLt7B4tijvK/7j3o2djH5I6BFioVozq2ZGi7Zqw5dIo52w+QlHGFVxdv5PtNe5kS1p7h7Ztj\nZVG79klbG0ua+tWnqV/F46heL5GdW3S9x3dGVj6Xb/g3P7+QfTLVLAhC7TZnzhxycnJ4+eWX5S5F\nEAQDnJ2dycnJkbuMKlevXj02b91GtzeWcOh8HtzjkPp6CaISs3hs0SHmTe5Qa2++EgRTU1RUxN69\ne+ncuTMhISEkJCTg7e3N66+/zgMPPMDRo0dp06ZNhTCjQ4cOJCYmkpeXh6PjrdfTbnfdVbi9VidO\nMOSm0KvUyoq/p0+vEHoJgmCaqq3H17WJZE+dOkWzZs2ut48dOxYHBwfmzp1bYfnb3Xkg7t7+b2k5\n+czffZgV+45TXFa+/Vp7N+DRPh3pbsKBF8Du5CQ+jthN/JUsANp7ePJG954Eu5tucJSUn8UvceGs\nuxiDTpJQomCQV0seC+xGgGPtm8hckiSulGVzrugcKcWppJdmkFFSHnRla7Lv+HiVQoXD1UDK4Wog\nZaWyKu+9dbUnl1qpxkLx778qhRKtpEOr16CRynuBaSUtGr0WraRBo9dQoishX1twNWTLo0BbiMR/\nH+qUKKlrVfd6EOZm7UZDGy8a2zbC3qL2jX0vSRL7LyfzU+weDlxOBsBObcl43w5M9e+Ci5WtvAXe\nhiRJbE44y2eReziXmwNAt4aNeb17D5rWrSdvcf9Bo9Wx5tApfttxkAtZuQDUdbBlUo92PNi5FfbW\nt44XLvxLzPElCIIcSkpK8PPzY/To0XzzzTdylyMIggEhISF0797dYI8Jc/fDrrN8uSXO4Pzmd0up\ngJn9Anmqp3/lVyYIQqVdvHiRhg0b4ubmxrp162jTpg1r1qzhoYceYvfu3cydO5eCggKWLl16/TGn\nT5+mefPmXLhwAS8vr1vWKXp83V2PryZnzjBu+XJUN/RI0ajV/DlpEulNm97Vuu6lTfT4Ej2+7tQm\nenzdWbXdSn7t7oKb767Kzs7G0/PWIeAsLCwM/gELhiVlXGHezkOsPXwa7dXhn7o19WZ6rw608/U0\n6cArLusyn4TvZs/5ZAAaOTrxardQBvgFmGzdFwuz+TF2D6vPH0OPhEqhYGSj1jzapBs+DnXkLu++\n0Et6MkoyOFd0nuSic5wrPM+5ovMUaAsMLq9SqKhrWRd3a7frPatcLV2vDz/oaOGArcr2vrzneklP\ngbagfEhFbT55mjwul2WRXpJB5tUeaVfKsskoLe+ZdiLvZIXH17F0pbFtIxrbNb76byNcLFxMdn+t\nCgqFgk71fOhUz4dDl8/xU9we9mYkMudMJIsTDzLJryNT/bvgaGlaQyAqFAoG+AfQy8eXBceO8P3B\nfURcOMeQPxcypnlLXujUlXp2pjffo4VaxQOdWjEipAVbj8Uzd8dB4lIy+WpdOHO2H+ChrsFM6N4G\nV3vTDBwFQRBqo7lz55KVlcWrr74qdymCINxGTe3xdTYjn9lbz1RJ6AXlPb++2nqGfs3r4+9W+276\nEwRT4+DgAMCUKVPo0KEDAKNGjSIsLIxVq1bh6OjIxYsXKzwmO7v85mNDvb3g9tddLS0t7yn4MhSc\nGBOmGBvoGNtW1YGTpaUljZOSGLtiRYXQS6dUsmbiRNKbNjX4OCurW29WreqQqyrDMGODL0OMDcOM\nDbkMMSb4MvQ6DYUwxtZb1W1yqMxrvdfg09C+ZCj4MjYMuzn4qoxqC76cnJzw9vbm4MGDdO7cGSjf\n+Y4ePXrLMIeC8U5eSOO3HQfZdvwsklQ+PNmA1k2Y3qsDTT1Nu8dRZlEhX+/by9KTx9FLEg6WVjwT\n0omJQa2xMnCwMgVpxXn8HLeHFclH0Ep6VAoFoxu14bHA7jS0c5G7vGpVrCvmTH48sflxnM1P4HzR\neUr0pbcsZ6eyw9uuMV42nrhbu18PulwtXU1mXi2lQomjhSOOFrcfPrNMr+FyaSYZJZmkl2aQVpLG\n+aILnC+6QFbZFbLKrhCdc/T68g5qB7ztGhNg709Tx0B87XywUNbM8L593cb8Vncix65c5IfY3YSn\nn+XnuHCWJB5kin9nJvl1xM7CtHokWapUPNK2PQ80a8F3B6JYdPwYf508ztozsTzRviPT27TFWm16\n75dKqWRAm0D6t25CRGwyc3ccJDrxEnO2HWDh7mhGdWzJ5B7t8HA13aFgBUEQaoPS0lI+/fRTHn30\nUTw8POQuRxCE23Bxcbl+Mbgm+WVPYrWs99c9CXw+Orha1i0IgvGcnJzw8/O77cX01q1bs3jxYrRa\n7fWL/4cOHcLX1/e2wZdgnAYXLzJm0SIsbghQJIWCDQ89ROINI5oJgmD6qm2oQ4AvvviC7777jg0b\nNuDn58eHH37IH3/8QVxcHPb2/30XkRi26F86vZ5dJxNZsCea6MRLQPn8MMM6NGNaWAca1XWWt8A7\nKNVq+e3IYX46tJ9CjQaVQsHDrYJ5tmNnXG1Ms/fC5ZICfj0TwdKkQ5TpdShRMLRhEE81DaWRvavc\n5VWLQm0hcfnxxOXHEZsXx7mi87cMD+hi4UJju0bXez152zbG1dLVZO5sqA56SU9aSRrnCst7up0v\nOk9y4XmKdEUVlrNQWOBn70tTh0CaOgbiZ++HZQ0Nwo5kXeDb0zvZl5kEgLOlDY826cZ43w5Yq0zz\nNSdmX+HTiD1sSyqf6LeBvQMvd+nOsMCmKE18/z2SdInfdhxk96ny7a1SKujdyp+JoW1p7S0utoI4\nZxAE4f776aefeP7550lISDA4nJAgCKbh8ccfJz4+nh07dshdSpXJLdbQ4aNtlOmMu2v+bliqlBx8\now9ONqZ5Ti8Itck333zDJ598wqZNmwgKCmLdunWMGTOG3bt307x5c5o0acK0adN48803SUhIYNCg\nQTz//PO8+OKLRq3/2neo3r17ix5fV9XLyGD6ggXYFlecj37zqFHEdOr0n+sSPb7uf4+vqh7WsKqH\nP7x5WENDyxmzTHW0VeU2Mea9ul2bMT2+tm/fbnpDHQLMnDmT/Px8+vTpQ15eHu3bt2fTpk13DL2E\ncoUlZaw6eJJF4Ue4eHXOF3trS0Z3asXE0La4OZn2dpQkiQ3xZ/g0cg+X8vMA6O3jy2tdQ/FzNc3h\nAXPLivk9fi8LE/ZTrCv/Qx7g2YIZTXvg52i68wPdC41eQ1z+GY7lHCc2P5YLRRcrBF0qhQofO28C\nHZrQxCEAHztvnCycZKxYHkqFEg8bDzxsPOhM+YmOJElcLssisSCRuPwzxObHcak4hdj8OGLz4yAF\n1Ao1fva+NHNoSrBzEN52jVEqasZk0W3qNGRet0nsy0zi21M7OXLlAl+c2MofZ6N4IjCU0d5tsbzH\nCbari6+LK78OHUHUhfN8FL6LU5czeXHLBhYcO8KboT1p28B0A6Q2Pp58P92TM6mX+X3HQTYfPcOW\nY/FsORZPUKP6TOzRlj6tAsRk5IIgCPdJaWkpn3zyCY888ogIvQTBxNXEHl9RCZerJfQCKNPpiUq4\nzICWDapl/YIgGO+5556jqKiIoUOHkpOTQ0BAAEuXLqVjx44AbN68maeffpo6derg6OjIE088wQsv\nvCBz1ebLJTubyYsX3xJ6bevfv0LoJQiC+ajWHl+VUZvv3k7NzmNJxFFW7DtBfkl58uvp6siE7m0Y\nGdISO+tb7w4wNUdSU/g4YjeHU1MACKxTlzdDe9K1YWOZKzOsWKthYcI+5sZHkq8p3+Zh9ZvwbPMw\nmjrVl7m6qpOnyeNYTgxHc2I4kXuiwtCFaoUaX3uf8h5LDoH42/thpTKt4etMWb4m/98ec/lxtwSJ\nThZOBDsH0do5iBaOzbFWmdbcWPdKkiTC08/yzemdnMpJBcDT1plnm4UxpGErk+xNpdPrWXH6JLOi\nIsksKgRgSEAgL3fpTkMn0w9303ML+DPiKMujYsgrLv8bbuDiwMPd2jCqY0scbGrf321tPmcQBOH+\n++WXX3jmmWc4e/YsjRo1krscQRD+w2effcbPP/9MUlKS3KVUmc83xzInPBGNruov5VioFDzW3ZeX\n+zet8nULgmBaRI+vf9sc8vOZPn8+rjfdKBERGsquvn1v6c0lenyJHl/GtIkeX3duq+4eXyL4MhGS\nJHHsXCqLw4+wNSYenb78bWnr48GkHu3o2cIXlZEHIDldzMvl88hw1sXHAVDHxpYXO3dlTPOWJlm/\nVq/nn3NH+D52F5klBQB0rufLc83DCHY1/zt4JUniQvFFjmQf5VhODImFSRXCGC8bL4Kdg2jl1AI/\ne18slaYfqpqLAm0BZ/LjOZ57gqM5MVwpu3L9d2qFmmaOTWntHEywcxD1rOrKWGnVkCSJrSmn+fb0\nLhLyMwFo6uTOiy360M3t9mOTy6mgrIxfDh9gbvRhSnVaLJUqprRpy1PtO+Jo4KTV1BSValh7+BQL\nd0dz7nIOALZWFowKacm4bq1NfhjcqlTbzhkEQZBPWVkZAQEBDBw4kJ9//lnucgRBuINffvmFV199\nlZycHLlLqTKPLzrE5pPp1bb+/i3c+WVC+2pbvyAIpuHad6iBAwdWCEGMDTUMLWcocLm5zZhlwPiQ\nq7JhmE1RERN/+w23jIwKvzvSuTPbRowAheKWx1Ym5DK2zdA2MXY5Q203v1/GLHO7tspc3zE2DDPU\ndnOoZcwyt2szFAYZu1xl2m4Ouu41MLubNmPDO0PLGbM9jd3mdwq5DC2n0+nYuHGjCL7MVUFJKeuj\nY1m2N4YzqZcBUCuV9AtuwqQebWjR0Dx6G+WVlvLjof38cTSaMp0OK5Wa6W3a8Xi7DjiY4AVkSZLY\nlhrL7JPbSSrIAqCFcwNeatGHzm6+MldXOZIkca7oPPuzDrD/ygGybghcLBRqmjk2o7VzEMHOQdSt\nAYGLObgWQJb3tjtGQkFihQCykW1DOrqG0LFOB+pZmfeQmjpJz9rzMXx7eiepxeVDnHas681LLfvQ\nysVT5uoMu5Sfx6y9EayKOw2Aq7UNz3bszLiWQVgYuAvK1Oj1EuGxSSzcHc3+sxeut3cKaMSYLkH0\nbOFrFq+jMmrLOYMgCPKbM2cOTz/9NPHx8TRubJojGQiC8K9ly5YxduxYtFqtwbvbzdGk3w+wJz6z\n2tbfI6Ae86eFVNv6BUEwDSL4AntJ4uF58/C8dKlC+8m2bdkwZgxcfY0i+KpIBF8i+LrbZUCe4Kta\n5/gSbi/2UgZL98awPjqW4rLyHcvV3oYRHVowrltr6js7yFyhcbR6PUtPHmd2VCRXSsrHwR0e2IyZ\nXbrh6eAoc3WGHcm6wOcntnD0ykUAGtq58HzzXgzwbGGSw7IZK7U4jX1Z+4nK2k966b93ADpZONHa\nOYjWzsE0d/w/e/cdHUXZ9nH8uzW9F1IJhNB7701AQVSKCNIRe+/9efRVHwv2rqhIF0EQQURQQHrv\nvYRQ03tPts37RwAJLLCQhNkN1+ecHA53Zie/LdnMzjXXfTesNlPsuRKNRkNNz2hqekZze0R/8sx5\n7M7Zw86cXezJ3cfJolOcLDrFL6fnUccrlg5B7WkX2BZ/o/NPu3chnUbLwJgW9ItqwsyEzXx3aA2b\nMo4zdOUP9I1szNONbqKmd6DaMcuJ9PHl41tuZWyLVryzZiVbkhL5v1UrmL57J6907U7PWs5dDNdq\nNXRvFEv3RrEcTExj5pqdLNl5iI1HTrLxyEmCfTwZ3L4pd3VoSliAa/xtEUIIZ2Q2m3nnnXcYN26c\nFL2EcBH+/v4A5OXlERAQoG6YSuJhrNqZVNyreP9CCOEM9GYzQ2fPvqjodaRRI5bcdde5opcQwnVJ\nx9d1VGq28NfuI8xZv4udx5PPjbepE8XQjs3o1bQORjsVd2e19uQJ/rdmJYczyzrV2kRE8mrXHjSv\n4ZxdascLMvl433L+TjrT1WH05JEG3bmrdmuMWte8+i/LlM3mzM1syNzE8aIT58Z99b60DWxDh6B2\nxHnXQauRP9jOymwzsyd3H5syN7M9ZwcmW9lVFxo0NPZtRMeg9rQObIWHzjXfB3NNxXx/eC3Tj27C\nZLNi0GgZHtuWh+p3I8DNU+14F1EUhaVH45mwbjUncnMA6B5Ti1e69KBuUJC64a5CblEJi7Yd4JcN\nuzmaWtb1qdVo6NE4lmGdmtOhbk20Wtct9F+oOh4zCCGcz48//siDDz7IkSNHqFWrltpxhBAO2LJl\nC+3atePo0aPExjr3xUyOkjW+hBCV4Ubu+NJardz9yy80OHKk3DbHa9fm1/vuw3rBPqXjqzzp+JKO\nr6vdBmSqw3Kq00msQ0npLNy6n9+3HiC7sKwrytvdyIC2jRjasRmxNVznZCrAkcxM3lu3mn+OJwAQ\n5evLS5270y+urlOu45NjKubrg6uYlbAFi2LDXadnXFxH7q3bGW+D803DeCUWm4Vt2TtYlb6a/XkH\nzk2Z56HzoHVAKzoEtaORb0N0Gtcs5t3ISq2l7MjZycbMzezO3YNVKVv40aAx0DqgFT1Cu9HAp75T\n/p5dSXJRLp/t/4eFp3ahAL4Gdx5u0I0Rse2csvBsslqZtmsHX2zeSL6pFJ1Gw91NmvFk+04Eezpf\nwe5SFEVhW0Iic9bv5u/dR7CcOYCoGezPwLaNub11w2rRBVadjhmEEM7JbDbToEEDevTowaRJk9SO\nI4Rw0JEjR6hXrx7btm2jVatWasepFEv2JvPQzO1Vtv9vR7aib5PwKtu/EMI53KiFL42iMPi332i+\nd2+57ydGRTFz3Dg0vhfPXiWFr/Kk8CWFr6vdBqTwVY6rn8TKyC9k8fZDLNy6n0NJ/86/3SAihGGd\nm3NrywZ4ul385uzMMoqK+HTTembv3Y1VUfA2GHmoTTvubdkaNyfsVDPbrPx8bCtfHVhFrrkYDTAo\npgVPNOxJDQ/nnIbxclKKU1iZvpq1GevJt+QDZWt2NfdvTseg9jTzb4ZR61qvKXFpBZYCtmZtY0Pm\nJg7lHz5X4KzhVoPuoV3pGtwZX4PrvY4P5KTwwd6/2ZBeVjiP8Qrk+SZ9uCncOQt6mUVFfLJpPT/v\n3Y3tvPe98S1b4a53rd+3jLxCft28l1827CElp+w9RKOBdnHRDGjTiF5N67rc36WzXP2YQQjh/KZM\nmcJ9993H4cOHq03XiBA3goyMDEJCQli2bBm9evVSO06lyC020/btZZisF59AqiijTsuWV3vj5+Ga\nx4RCCMed/Qw1cODAcoUvR4tc9sbsraVYmYWviqznZTQaQVHou2gRbTZvLve99LAwfn7oIUo8Pe3e\n9sJCV2UXuRwt6Nkbc/TxvPC5sfdcOXvhy2q1Xvb/4HgRxl6Rx9ECUWWOOVrkuh7FsMosfNl7bhx9\nns9/jVitVn777TcpfDkDk8XCyn0JLNy6n7UHj2O1lT20vh5u9GtZnzvaNKJpzTCnPLl7OSUWMz/u\n2M63WzdTYDahPdf50JEQTy+1411EURRWpR7h/T1/cawgE4D2wbV4qdktNPBzzmkYL8VkM7M1axur\n0ldzMP/QufFojyi6h3ajU1AHvPTO9xyIypVRmsHq9LWsTl9LtjkbAJ1GRyv/FnQP7UZj30YuNZ2l\nK/6OHsnM5N11q1h5/BgAET4+PNexK3fUb+ByawNarDbWHzrOgq37+WdvAuYzBySebgb6NKvLgDaN\naB0b5VJTIbriMYMQwnVYLBYaNGhA165dmTx5stpxhBBXwWw2YzQamTt3LnfeeafacSrN83N3MX9H\nIhZb5Z3O0Ws1DG4ZyftDmlfaPoUQzutGLHz1/PtvOq9eXW48JzCQnx55hMIznV5S+LrymBS+pPB1\npW2k8HUFrnISy2ZT2Hk8icU7DvHnjoPkFZe9EHVaDV0b1OaOto3o3qi2S63ddZaiKCw6cogJ61aT\nlF/WHdCjVm1e7tzdade6OZqXzrt7lrIu7SgANb0CecGJu0kuJbUkjeWpK1ibsY5CaxEAblo32ge1\no0dIN2K9arvU/RGVw6pY2ZOzl5Xpq9mZs+tcF1iIWzDdQ7rRM6Q73gZvlVM6zmyzMvvYVr48sJJc\ncwka4M6YljzVuBdBbs5Z0F178gTvrF3FwYyyTt5mNcL4b7cetA6PVDnZtcktKmHprsMs3LKfXSf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Hnndr7aspFCsxl3vZ77W7Xh/lZt8bZzNYCzWpZ0kFe2/0a+uZRIT3/ebzOIVkE1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\n5qTTDJw9k9vq1ueZjp2p5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/Pr0KHY7HSMCCHE9VDtPxFuTjxN/5+mMXHbFkosFm6uE8ef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MsqNDha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\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CiOtxuwdfAM56PQ98+y2+OTnN2lN69GD13Lnoz9cgwde124wlwZcEX9fa7tLbJfiycNV1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\nq5O0rLqWz7bF8P2eeBp0Omy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bDxEjuhE+qAuh4f7Y2t2cwE+CLyGu7t577yUz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\nwin8P6mK4xbGOxgZAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# グリッド変数を numpy.mgrid[y0:y1:y分割数j, x0:x1:x分割数j] で用意します.\n",
        "# ただし,分割数は虚数単位の整数倍で指定します:\n",
        "y, x = numpy.mgrid[-6:6:121j, -3:3:61j]\n",
        "# 好きな式を入れてみましょう.\n",
        "f = numpy.cos(x) - numpy.sin(y)\n",
        "# GrayscaleImage に変換し,Reeb グラフを計算します.\n",
        "img = psiclone.data.GrayscaleImage(f)\n",
        "reeb = psiclone.reeb.get_reeb_graph(img)\n",
        "\n",
        "fig = plt.figure(figsize=(24, 8))\n",
        "fig.add_subplot(1, 3, 1)\n",
        "plt.contour(x, y, f)\n",
        "\n",
        "fig.add_subplot(1, 3, 2)\n",
        "networkx.draw(reeb.to_network())\n",
        "\n",
        "fig.add_subplot(1, 3, 3)\n",
        "plt.imshow(f, origin=\"lower\", cmap=\"gray\")\n",
        "psiclone.visualization.draw_graph_markers(graph=reeb, geometry=img, lw=3, edge_color=\"r-\")"
      ],
      "id": "84ccdea0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "------------------------------------------------------------------------\n",
        "\n",
        "# 流れデータの解析 (TFDA)\n",
        "\n",
        "## 一様流れの場合\n",
        "\n",
        "中心に障害物が一つ置かれている問題設定で `(x, y, z)`\n",
        "が複数並ぶ入力データを読み込み,一様流れの COT 表現に変換します."
      ],
      "id": "a62365a2-ab9d-4714-86c9-1c5c439fcc90"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [],
      "source": [
        "import psiclone.visualization as vis\n",
        "from psiclone.psi2tree import Psi2tree\n",
        "from psiclone.util.convert import convert_array_to_geometry"
      ],
      "id": "4f6c79c2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "ここまではモジュールをただの `import`\n",
        "文で読み込んで来ましたが,よく使うものは `from import`\n",
        "文で直接読み込むと便利です.ここでは,`Psi2tree` と\n",
        "`convert_array_to_geometry`\n",
        "を用いて,流線トポロジー解析を行います.まずは,テストデータを作成します."
      ],
      "id": "ff95b051-e7ed-46b4-a8c4-e8697b36a6d8"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n",
        "z = x + y * 1j\n",
        "flow_domain = numpy.abs(z) >= 1.0\n",
        "obstacle_domain = ~flow_domain  # 否定\n",
        "\n",
        "plt.imshow(flow_domain, cmap=\"gray\", origin=\"lower\")"
      ],
      "id": "9aca1e60"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "mesh grid を作成して,虚数単位 `1j` を用いて複素変数\n",
        "$z = x + y\\sqrt{-1}$\n",
        "を用意しました.円形の障害物が中央にある流れ領域として\n",
        "$\\{z : \\left|z\\right| \\ge 1\\}$ を考えています.\n",
        "\n",
        "その上のデータを表現するには,`numpy.ma.masked_array`\n",
        "を利用すると便利です.これは,データ欠損領域をマスクを用いて指定できる特殊な配列です.データ欠損領域がある以外は,通常の\n",
        "`numpy.ndarray` と同様に扱うことが可能です.さて,複素変数 $z$ と\n",
        "`masked_array` を用いて,次のように流線関数を用意します."
      ],
      "id": "b9633bd3-71af-4a0f-8c1c-8a43280daec2"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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q3bxptNbl4Nebc9pR7bKhJvO3wj7xShDTEdWF7Mwzz8RvfvMb1NXVQa/Xw+fz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\nAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "z = numpy.ma.masked_array(z, obstacle_domain)\n",
        "W = z + 1.0 / z\n",
        "data = numpy.imag(W)\n",
        "plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\")\n",
        "plt.contour(data, colors=\"k\")"
      ],
      "id": "870c299e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "これで,円形障害物の周りを流れる一様流のテストデータが作れました.これを\n",
        "`Geometry` に変換していきます."
      ],
      "id": "5b97f34e-f38a-4b54-9a02-81c0702082bf"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "(10201, 3)"
            ]
          }
        }
      ],
      "source": [
        "table = numpy.ma.masked_array([x, y, data]).reshape((3, -1)).T\n",
        "table.shape"
      ],
      "id": "0e9001a7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "障害物のある一様流の設定で `Geometry` を構成するユーティリティ関数\n",
        "`psiclone.util.convert.convert_array_to_geometry`\n",
        "を用います.そのために,まず `x, y, f(x,y)`が並んだ $N \\times 3$\n",
        "の表データをマスクした配列として用意しました.(マスク配列の代わりに,`nan`\n",
        "を用いてデータ欠損領域を表現したデータや,単純にデータ欠損領域のエントリーを含まない表データでも構いません.)\n",
        "\n",
        "この関数には,色々なオプション引数がありますが,ここでは障害物を指定する引数\n",
        "`obstacles`\n",
        "に一つの障害物の座標だけを指定します.各障害物ごとに代表点の座標を一つだけ指定すれば十分です.この例では原点を指定しています."
      ],
      "id": "296868e3-7b24-475a-806f-08e188ac5d19"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "(<psiclone.data.geometry.Geometry at 0x7f175031bb90>, 9325, 18476)"
            ]
          }
        }
      ],
      "source": [
        "geom = convert_array_to_geometry(table, obstacles=[(0, 0)])\n",
        "geom, len(geom.nodes), len(geom.edges)"
      ],
      "id": "777e81d5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "このように構成した `geom`\n",
        "が上と同じデータになっているか,確認してみましょう.ようやく入力データが用意できました.ここまで来れば,次はいよいよ\n",
        "TFDA のステップです!"
      ],
      "id": "13c2246e-c4b5-4d1b-a83b-f0815beb51fa"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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i27gEtnyJyaeF22k9VxXNyyXPOcnptqwqDSafi9DsuTZ6706rG9/5iYiIWsaB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\nyIiIyGn/H2ljisboR8tNAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "vis.draw_geometry(geom, bitmap=True)"
      ],
      "id": "4c62291e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 入力データの COT 表現への変換:`psiclone.psi2tree.Psi2tree`\n",
        "\n",
        "さて,`Geometry` を入力データにとって,partially Cyclically Ordered\n",
        "rooted Tree (COT)\n",
        "表現の計算を行います.これは,`psiclone.psi2tree.Psi2tree`\n",
        "クラスを使います.この名前は,流線関数 `psi` ($\\psi$) to (2) tree\n",
        "の略になっています."
      ],
      "id": "c658fb78-e6a1-4545-a90f-609227f2be3e"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [],
      "source": [
        "psi2tree = Psi2tree(geom, threshold=0.0)\n",
        "psi2tree.compute()"
      ],
      "id": "330e1203"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "計算は `compute`\n",
        "メソッドで実行します.入力データによっては,ここで非常に時間がかかるために,適切なノイズ除去閾値\n",
        "`threshold`\n",
        "を設定するなどしなければならない場合があります.また,あまりに大きすぎる入力データのトポロジー計算は時間がかかるため,入力データサイズ自体をうまく\n",
        "resize して減らしてやることも有効です.\n",
        "\n",
        "計算が終わったら,結果を `get_tree` メソッドで取得します.`get_tree`\n",
        "で取得できる木構造データを,さらに `convert`\n",
        "メソッドを用いて,人が読みやすい形式に変換します."
      ],
      "id": "d4b26d66-a003-4f1a-b1f6-274269a62d3d"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "'a0(a2(L+,L-))'"
            ]
          }
        }
      ],
      "source": [
        "from psiclone.cot import to_str\n",
        "\n",
        "psi2tree.get_tree().convert(to_str)"
      ],
      "id": "62c2e69d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## COT 表現の出力形式\n",
        "\n",
        "`convert` メソッドに以下のいずれかを与えることで COT\n",
        "表現を様々な出力形式へと変換できます. \\* `psiclone.cot.to_str` \\*\n",
        "`psiclone.cot.to_short_str` \\* `psiclone.cot.to_tex` \\*\n",
        "`psiclone.cot.to_short_tex`\n",
        "\n",
        "`to_(short_)str` はギリシャ文字などを含まない簡易 ASCII\n",
        "フォーマットへ変換し,`to_(short_)tex` は TeX\n",
        "形式で正しい添字やギリシャ文字によるラベル付けをした形式へ変換します.`short_`\n",
        "版は人が読みやすい省略形式で,情報を失わない範囲で冗長な記号を省略します.`convert`\n",
        "に渡す関数を変えることで再帰的な変換をカスタマイズすることも可能です."
      ],
      "id": "a2d1c9fb-b3a9-4d28-b63e-db2618beec2c"
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "a0(a2)\n",
            "a_\\emptyset(a_2)"
          ]
        }
      ],
      "source": [
        "from IPython.display import Math, display\n",
        "\n",
        "from psiclone.cot import to_short_str, to_short_tex\n",
        "\n",
        "cot_tree = psi2tree.get_tree()\n",
        "print(cot_tree.convert(to_short_str))\n",
        "print(cot_tree.convert(to_short_tex))\n",
        "display(Math(cot_tree.convert(to_short_tex)))"
      ],
      "id": "02efaa4c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "入力データ・等高線図・レーブグラフ・COT表現を重ねて描いてみましょう."
      ],
      "id": "f5532ca2-3683-4297-ac0f-176e300f5fb7"
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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SHHNEiCwKOYxyOaRRQkP8MITRAEVR0MtYv+METfLU2UzEv8lEfnPWiFgNBkPc/wPBYMRk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\n"
          }
        }
      ],
      "source": [
        "plt.title(f\"${psi2tree.get_tree().convert(to_short_tex)}$\")\n",
        "plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\", extent=[numpy.amin(x), numpy.amax(x), numpy.amin(y), numpy.amax(y)])\n",
        "plt.contour(x, y, data, colors=\"k\")\n",
        "vis.draw_graph_markers(psi2tree, lw=2, edge_color=\"y-\", node_color=\"g*\")\n",
        "vis.draw_COT_labels(psi2tree, fontsize=16)"
      ],
      "id": "1e0e1c38"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "------------------------------------------------------------------------\n",
        "\n",
        "## 演習問題:式を少し摂動してみて計算結果がどうなるか見てみましょう\n",
        "\n",
        "上の例の一様流に,適当な摂動を加えてみて,計算結果を見てみましょう.\n",
        "\n",
        "ただし,あまりに大きな摂動を加え過ぎると,ノイズが除去しきれずに,レーブグラフや\n",
        "COT 表現の計算に失敗してしまう可能性があります.ここでは\n",
        "`threshold=1.0e-1`\n",
        "をノイズ除去の閾値にしていますから,面白い構造はこれより大きなスケールに,またノイズはこれより小さなスケールになっていなければなりません."
      ],
      "id": "69ca8885-5e0f-47c0-8be3-6bbe3927e29f"
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/tmp/ipykernel_8756/2062294558.py:9: RuntimeWarning: divide by zero encountered in log\n",
            "  perturbation += 0.3 * numpy.log(numpy.abs(z - (2.0 + 1.0j)))\n",
            "/tmp/ipykernel_8756/2062294558.py:10: RuntimeWarning: divide by zero encountered in log\n",
            "  perturbation -= 0.3 * numpy.log(numpy.abs(z - (2.0 - 2.0j)))"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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/P+V1MUp2425Xxeh2kMX9nhtLD18wKztL41rc79Vx0vc12hO2rR0+TPMG/nv3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\n"
          }
        }
      ],
      "source": [
        "y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n",
        "z = x + y * 1j\n",
        "flow_domain = numpy.abs(z) >= 1.0\n",
        "obstacle_domain = ~flow_domain\n",
        "\n",
        "z = numpy.ma.masked_array(z, obstacle_domain)\n",
        "W = z + 1.0 / z\n",
        "perturbation = 4.0e-2 * numpy.sin(numpy.pi * x)\n",
        "perturbation += 0.3 * numpy.log(numpy.abs(z - (2.0 + 1.0j)))\n",
        "perturbation -= 0.3 * numpy.log(numpy.abs(z - (2.0 - 2.0j)))\n",
        "data = numpy.imag(W) + flow_domain * perturbation\n",
        "\n",
        "plt.imshow(data, origin=\"lower\", cmap=\"coolwarm\")"
      ],
      "id": "f09decd5"
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GFuQwvGsOg/Oz0SfBjUVnQ5KV4h87EKvVSkpKCluuPhNDkprygrGn1vvECSDl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\n9rJnzx527NzJz6tWs2NHYBj25MmTuejCCzn99JkYjKYWeoo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Q8tbsH4lj19kiSGrq6ut5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\nSPH/Acht4iUCsfRqAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "table = numpy.ma.masked_array([x, y, data]).reshape((3, -1)).T\n",
        "geom = convert_array_to_geometry(table, obstacles=[(0, 0)])\n",
        "psi2tree = Psi2tree(geom, threshold=1.0e-1)\n",
        "\n",
        "cot_tree = None\n",
        "cot_tex = \"\\\\rm Error\"\n",
        "try:\n",
        "    psi2tree.compute()\n",
        "    cot_tree = psi2tree.get_tree()\n",
        "    cot_tex = cot_tree.convert(to_short_tex)\n",
        "except Exception as e:\n",
        "    print(e)\n",
        "\n",
        "plt.title(f\"${cot_tex}$\")\n",
        "plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\", extent=[numpy.amin(x), numpy.amax(x), numpy.amin(y), numpy.amax(y)])\n",
        "plt.contour(x, y, data, colors=\"k\")\n",
        "vis.draw_graph_markers(psi2tree, lw=2, edge_color=\"y-\", node_color=\"g*\")\n",
        "if cot_tree is not None:\n",
        "    vis.draw_COT_labels(psi2tree, fontsize=16)"
      ],
      "id": "a0e96e72"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 分割の可視化\n",
        "\n",
        "数学的には,レーブグラフは同値関係による商空間として定まります.`psiclone`\n",
        "で用いられているアルゴリズムでも,同値関係に基づく空間の分割が得られます.\n",
        "\n",
        "分割を可視化するには,`psiclone.visualization.draw_partition`\n",
        "関数が便利です.これを見ると,レーブグラフを通して `psiclone`\n",
        "がどのように流線トポロジーを把握しているかがなんとなく分かります."
      ],
      "id": "069b9a97-2879-4a44-bcc8-cdea93cf4299"
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XF+vKK6/Uhg0buI4kxWIxTZkyRUOGDFEoFFJDQ4PWrFmj6667TtXV1VxH7ejs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\n"
          }
        }
      ],
      "source": [
        "vis.draw_partition(psi2tree, bitmap=True, discrete=True, cmap=\"tab20c\")"
      ],
      "id": "f394129f"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "path": "/opt/build/repo/.venv/share/jupyter/kernels/python3"
    },
    "language_info": {
      "name": "python",
      "codemirror_mode": {
        "name": "ipython",
        "version": "3"
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.3"
    }
  }
}