{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RxTbQ8WsGY09"
      },
      "source": [
        "# Probability Distributions and the Central Limit Theorem"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CCuPXx-yGY0-"
      },
      "source": [
        "Markus Pfeil, Hochschule Ravensburg Weingarten\n",
        "\n",
        "---"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vaCLJGFwGY0-"
      },
      "source": [
        "Here we will visualize, in Python, a few important distributions that commonly appear in science and statistics. A more exhaustive list of statistical distributions can be found in the [stats](http://docs.scipy.org/doc/scipy/reference/stats.html) module of SciPy.\n",
        "\n",
        "At the end of this IPython Notebook we will demonstrate what is arguably the most famous and profound theorem in statistics: the Central Limit Theorem."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "V69cMUsVGY0-"
      },
      "outputs": [],
      "source": [
        "from __future__ import division\n",
        "\n",
        "import numpy as np\n",
        "import scipy.stats as stats\n",
        "import matplotlib.pyplot as plt\n",
        "from ipywidgets import interact, interactive, fixed, interact_manual\n",
        "import ipywidgets as widgets\n",
        "from IPython.display import display"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vXRgka3cGY0_"
      },
      "source": [
        "## Discrete Distributions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lZ6WsCrfGY0_"
      },
      "source": [
        "$\\mathbf{Uniform}$:The probability of observing each value with the same probability.\n",
        "\n",
        "* Example: Measurement with white noise"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "id": "JzQysU5LGY0_",
        "outputId": "0b14d5b9-e24d-4a37-f9d0-bfff1ea2b356",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 645,
          "referenced_widgets": [
            "a094a6a0ab7344189f99a4e72b0e4833",
            "64cb40f26c6b4ebd82469d09a33ac57a",
            "2190c110f3bd488c9ec2dc1ef1296c27",
            "b0a2308d6a5f4652b35b84ab2db99f9e",
            "dbf4867d9cd441f380d03f99cc1a0833",
            "a76918a7c5d140b3b409ee49c83fb9ca",
            "f18452bc4d5e4f8e835f30b41589d8d5",
            "3953a40e8eb141f4b1330aba0455f8f7",
            "867a9a4db922459fab5ff0ad650e635b",
            "e1e9949a71b24c27944c6b2e94d4ef77",
            "f79ca58a6a36427489b0f30195af0eb7",
            "7140f90b629b432392be8e9340e1a908",
            "77482f60edf24f71a16737d08f8eecd1",
            "5d28db1184fd491ca31f2d62ccb3c697",
            "d988e485d5ea40ba8d635bcbe31c0aa0",
            "034445a2f3bb488499c2d7a49265ff06"
          ]
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=5.0, description='mean', max=10.0), FloatSlider(value=5.0, description…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a094a6a0ab7344189f99a4e72b0e4833"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<function __main__.func(mean, var, size)>"
            ],
            "text/html": [
              "<div style=\"max-width:800px; border: 1px solid var(--colab-border-color);\"><style>\n",
              "      pre.function-repr-contents {\n",
              "        overflow-x: auto;\n",
              "        padding: 8px 12px;\n",
              "        max-height: 500px;\n",
              "      }\n",
              "\n",
              "      pre.function-repr-contents.function-repr-contents-collapsed {\n",
              "        cursor: pointer;\n",
              "        max-height: 100px;\n",
              "      }\n",
              "    </style>\n",
              "    <pre style=\"white-space: initial; background:\n",
              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>func</b><br/>def func(mean, var, size)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/tmp/ipython-input-1680938378.py</a>&lt;no docstring&gt;</pre></div>"
            ]
          },
          "metadata": {}
        }
      ],
      "source": [
        "def func(mean,var, size):\n",
        "    s = stats.uniform.rvs(mean-var, var, size)\n",
        "    fig, ax = plt.subplots(1, 1)\n",
        "    ax.hist(s, density=False, bins='auto', histtype='stepfilled', alpha=0.2)\n",
        "    plt.show()\n",
        "\n",
        "interactive_plot = interact_manual(func, mean=(0.0,10.0), var=(0.0,10.0), size=(10,5000,10))\n",
        "display(interactive_plot)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Tzm0bdBxGY1A"
      },
      "source": [
        "## Continuous Distributions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "h-Kl_9LeGY1A"
      },
      "source": [
        "$\\mathbf{GAUSSIAN (NORMAL)}$:\n",
        "$P(x;\\mu,\\sigma)=\\displaystyle \\frac{1}{\\sqrt{2 \\pi \\sigma^2}} \\exp{\\displaystyle \\left( -\\frac{(x-\\mu)^2}{2 \\sigma^2} \\right) },\n",
        "\\hspace{1in} x \\in [-\\infty;\\infty]$\n",
        "\n",
        "* mean=$\\mu$, variance=$\\sigma^2$\n",
        "* This distribution appears as the large N limit of the binomial distribution and the Central Limit Theorem."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "7RUdBiWoGY1A",
        "outputId": "23a4ce8d-8ce1-4fe5-ce19-a4b8384f3cd7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "u=5 # mean\n",
        "s=1 # standard deviation\n",
        "x=np.arange(0,15,0.1)\n",
        "y=(1/(np.sqrt(2*np.pi*s*s)))*np.exp(-(((x-u)**2)/(2*s*s)))\n",
        "plt.plot(x,y,'-')\n",
        "plt.title('Gaussian: \\u03bcs=%.1f, \\u03C3=%.1f' % (u,s),fontsize=15)\n",
        "plt.xlabel('x',fontsize=15)\n",
        "plt.ylabel('Probability density',fontsize=15)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oL4AnVyfGY1A"
      },
      "source": [
        "$\\mathbf{EXPONENTIAL}$:\n",
        "$P(x;k)=k e^{-kx}, \\hspace{1in} x \\in [0,\\infty], \\hspace{0.1in} k>0$\n",
        "\n",
        "* mean=$1/k$,  variance=$1/k^2$\n",
        "* This distribution describes the time intervals in a homogeneous Poisson process."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {
        "id": "WU8kX1FmGY1A",
        "outputId": "b92be72d-3d5c-4924-ce2d-0537f0e63dff",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 482
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "k=0.4\n",
        "x=np.arange(0,15,0.1)\n",
        "y=k*np.exp(-k*x)\n",
        "plt.plot(x,y,'-')\n",
        "plt.title('Exponential: $k$ =%.2f' % k,fontsize=15)\n",
        "plt.xlabel('x',fontsize=15)\n",
        "plt.ylabel('Probability density',fontsize=15)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p4ZJTUDjGY1A"
      },
      "source": [
        "## Central Limit Theorem"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OnsY89wOGY1B"
      },
      "source": [
        "> Take the mean of $n$ random samples from ANY arbitrary distribution with a well defined standard deviation $\\sigma$ and mean $\\mu$. As $n$ gets bigger the distribution of the sample mean will always converge to a Gaussian (normal) distribution with mean $\\mu$ and standard deviation $\\sigma/\\sqrt{n}$.\n",
        "\n",
        "Colloquially speaking, the theorem states that the average (or sum) of a set of random measurements will tend to a bell-shaped curve no matter the shape of the original meaurement distribution. This explains the ubiquity of the Gaussian distribution in science and statistics. We can demonstrate the Central Limit Thereom in Python by sampling from three different distributions: flat, exponential, and beta."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "id": "IIkFSxBQGY1B",
        "outputId": "f03e98d0-c05d-4637-e4de-58729afdca6f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1300x1300 with 18 Axes>"
            ],
            "image/png": 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MBweHIp+nqKpUqYIqVapk2964cWOMHj0ac+fOxaFDh9C9e/cin+PSpUtIT09HrVq18ixnYmKCFStWoHTp0sptgwcPxpdffonr169jypQpaNasmfI5V1dXDBw4EIsXL8aRI0eU4ydERUVh3759aN68ORYtWgQTk8we1k5OTvj+++/RpEkTrFixAl26dFE+17Vr12wxmZubY8mSJVizZg127dqFadOmZStja2uLb775Bubm5sptvXr1Qv369XHhwgXcunVL5fOrS5cu+X6evSmn2RkAqXn8m12S3n//fXzzzTewtLQs0LGfP3+ufGxlZZVjGcX/ybNnz7I9p5glLyoqqkDno5Jl3LhxKmNBWFlZISAgAMeOHcORI0cwbNiwYh2/OHW1j48PfH19cz121apVMWvWLOXnk0wmw7hx47Bu3TpcunQJBw8eRPny5ZXlO3XqhMaNG+PMmTPZ3te5OXfuHADkWv+VK1cOXl5e2bZXqVIFkydPxogRI/Drr7/is88+Uz6X14w3uXnz80Xxvi/Ke76gHjx4gPDwcMjl8hy7bxZXYT7zgbxnA8xN1pmg8nvNgMK/btWrV8fChQvRtWtXVK5cGU+fPsWRI0cwYcIE/PLLL0hPT8eOHTty3Lek1L1MoBAVU26VW2GmsouKisLvv/+O27dv48WLFxBCKCuyf//9Vy1xElHh5HXjUqlSpWzbPv30U+zbtw979+5Fy5YtkZSUhO+++w41a9bM9Tg59S8vVaoU+vXrhyVLluDPP/9E27ZtkZqair///huANKjdmxo2bIiGDRvi7NmziIqKQsuWLVWe79y5c7Z9FHE9ePBAue3hw4c4e/YsatSogfr162fbRyaToU2bNoiKisKpU6fg7e1dpPMUV3p6OsLDw3Hs2DE8ePAAycnJADLry+LWmw8fPgSAfKfUdXd3z/b/a2JigsqVK+Px48c5vh6KpEnW1+P3338HICUxsiZPFBRjopw4cSLbc/fu3cOvv/6KK1euIDExUTl2lpmZWa6vQ9OmTVGuXLls22vWrIkLFy7gwYMHKl+0AgMDczxOUVSsWBFCagGNu3fv4sCBA5g8eTIaNGiAffv2oUmTJmo7V25MTU1hY2ODxMREpKSkFGrsFTJ8mqyniltX9+jRI8/jd+jQIdv024o6pVSpUujQoUO2fapWrYozZ85ke1/npqD139GjRxEREYF79+7h1atXEEIoX783657atWsrx5HRZ1u2bEF6ejq6dOkCZ2dntR+/oJ/5Cvr4mg0aNEhlvXTp0vjggw/QsWNHNGjQADt37sTff/+d7W8bAMqWLQsAePTokVZi1RQmUIiKqTiVW0pKCoYMGYItW7bkWqY4mXQiKrqivLdXr14Nd3d3JCYmomvXrvj444/zLF+5cuUctytucu/fvw8AePLkCVJSUuDg4KDS2uHNfc6ePYt79+5le65ixYrZttnY2ACAMvkASAMkAtLNb34zDzx+/LjI5ymOu3fv4t1338XZs2dzLVPcejMhIQFAZuy5qVChQo7bFQn0nJ5XPJfT6z558mRMnjw51/O9OfDeokWLEBgYiNTU1DzjfFNO/0+A+v+v8iKTyeDm5oZhw4ahQYMGaNWqFYYOHYqoqKh8//ay/kDx4sUL2NraZiuTlJQEIPf/Q1tbWzx79gzx8fGcZclAFHQ2FCFEnuU1WU8Vt67OKTmfVV51irOzM+Ryea7PF/Ta8qv/EhIS0KdPnzxnzdLEvaviOl68eJHj8/m95wtCMfuOJgaPBQr+ma8u+b1mgHpeN0CaaW3o0KFYuHAhwsLCckygKOrqnAY5NyRMoBDp0KJFi7BlyxY0aNAACxYsQJMmTWBvb49SpUrh2rVrqFWrlvJGgIj03+7du5Vfcq9evYrnz58XqjVaceT15SKnVg05UbRecHZ2zta65E053QgW9DzFMXz4cJw9exZ9+/bFhAkTUKtWLdjY2MDExATff/89Ro4cWex6UzFlaX5fAvK73sK+7m3btkW1atUKtM/ff/+N8ePHw87ODkuXLkWHDh3g7Oys7Jbj6uqa66/phf1/CgkJKfQsEcOHD1f5JTUvzZs3R61atXDu3DlER0fnOzWsra0t7OzskJCQgLt376Ju3brZyihmVMntC4viS2KZMmUKFCPpXtZuCC9evMi1W4Liy2JuCQxt1FN5yauufrNLz5vyil1d15Vf/Tdx4kT88ccfaN++PWbOnIn69eujTJkykMvl+P333+Ht7Z2tDr5y5QpCQkIKFYeDgwMWLlyoXFckl3KaLSnr9tze8/m5fPkyzpw5A2tr6xy71+vCmzM7FcTChQuV3Z8Ur9nTp0+RlJSU43uiuK9bVooua7l99pSUepcJFCIdUvQR3LJlC+rVq6fy3M2bN3UREhEV0b///qsc96RLly7Yvn07Pv/88zynhr19+3ae211dXQFIfc7NzMzw+PHjXG+CFK0YcmsVURCKX2YdHBz0sulwUlISDhw4ACcnJ2zbti3br63qqjcVLRL+++8/tRwvP4rXvVevXhg/fnyB9lF8fsydOzdbd7OXL18iNjZWbfGFhYXh8OHDhdqnQ4cOBU6gAJnjHTx69CjfBAoANGrUCEeOHMHp06ezJVBSU1Nx4cIFWFhY5NiFLjU1Fc+fP4etrS277xiQsmXLwtLSEi9fvsTNmzdz7GYIZNYDubW00iRt1dWalF/9t2PHDsjlcuzevTtb66/c6uDY2Nhcp2PPTeXKlVUSKI0aNQIAXLhwAampqdm6Mp0+fRqA1E2qKH744QcAQJ8+ffIcM6Q4CvqZr1DY1wyQpt5W1KdlypRBpUqVcOfOHZw5cyZbnRwTE4PHjx+jcuXKObbkK6ynT58CyD15qXg+6zg9hki3KVgiI6eoSHL6kP/xxx9z3Edxs5eWlqa5wIioUNLS0jBo0CAkJSVh0aJF2LhxI2rXro21a9fil19+yXW/nN7naWlpyn0UNzulSpVSNofdunVrtn0uXLiAs2fPwtraGh4eHkW+jooVK6J27dq4dOkSrl27VuTjFERR6rKEhARkZGTAxcUlW/IkNTU114HrCqtevXowNTXF1atX1XK8/LzzzjsAUKj48/r8+Omnn9TaejEiIkI5bklBl8L8cpqYmIgzZ85AJpPlOEBwTnx8fAAAP//8c7bn9uzZg1evXsHLyyvHX/QVrWmK814h7ZPL5WjTpg0AYO/evTmWiYmJQVRUFExMTJRltUlbdbUmKRIVudV/T58+ha2tbY5fuHO7d+3QoUOh6xBFokmhSpUqqFOnDl6+fJnj/7+iLijKAOJCCGzevBmA5rrvAAX/zM8aV2GXN8e5yauuLM5r9iYhhPIzLLexrC5fvgzA8OteJlCIdEjxy1hoaKjK9p9//hkbNmzIcR9FdlpbN/ZElL9Zs2bhxIkT6N69O0aOHAlLS0ts3LgRpUqVwscff5xrv+ajR49ma6Eyffp03LlzBw0bNkS7du2U2xUzGsyYMUPlV75nz57B398fQgiMHDky3ybg+Zk6dSoyMjLQt2/fHEfKf/LkCVauXFmscwBFq8scHR1hZ2eHCxcu4K+//lJuT09Px8SJE9WW9CldujQaN26MBw8e5DhOgbp5enrinXfewV9//YXRo0cjMTExW5mzZ88iLCxMua74/Fi9erXKGCiXLl3CxIkTNR5zYa1atSrHX6fv3buHDz74AM+ePYOPj0+28Ug6deqE2rVrZxtAd/jw4bC1tcWuXbuwfft25faHDx9iwoQJAJBrax7Fsdq3b1+sayLtGzNmDACpW9nx48dVnktISMCwYcOQkZGBPn36wM3NTRchaq2u1pTWrVtDLpfjn3/+yfH5mjVr4unTp9i2bZvK9sWLF+PQoUMajS0gIAAAMGHCBOVgtwCwfft27N69G9WrV0fPnj1V9tmxYwdq166NwYMH53rcP//8E7dv30aFChXw9ttv5xlDREQEZDJZoWcmAwr3ma8uY8aMgVwuR2hoqHKAY0BqNTt37lyYmpoq31cK9+7dQ+3atZWz5ig8evQIy5cvz9a96/nz5xg1ahSOHz8OZ2dn9OnTJ8dYSkrdyy48RDo0YcIEhIWFITAwED/99BNq1qyJf//9FydPnsQXX3yh0nRRoXPnzrCwsMDixYtx4cIFuLq6QiaT4csvv8x3yk0iKri8fkGvVKkSZs2aBQCIjIzEvHnz4OTkhNWrVyvLNG3aFDNmzMDkyZMxZMgQ7N+/P1vf91GjRmH48OH47rvvUK1aNZw7dw4XL16Era1tti40/fr1w8cff4zvv/8e9evXx9tvvw0rKytERETg0aNHaNmypTKm4vjggw9w8eJFzJs3D02bNoWHhweqVasGIQRu3LiBc+fOwdraWmUqxqIoSl1mamqKCRMmYPLkyWjfvj3efvttlC1bFsePH0dcXBxGjx6N5cuXFysuBR8fH/zzzz+IiIjIcTYNddu4cSO6dOmCb7/9Fps3b4aHhwdcXV2RkJCAc+fOISYmBmPGjFFOYzx06FB8/fXX+PXXX1GrVi00b94c//33Hw4fPoxevXrhxIkTuTYX14WNGzdixIgRqFu3LmrXro1SpUohJiYGp06dQnJyMurVq4fvv/8+2343btxQzlCXVdmyZbFmzRq8//776NevHzp06IBy5crh4MGDiI+PR0BAQI4zkgDSFyAg85dZMhzvvvsuJkyYgAULFqB169bw9PRElSpVkJCQgKNHjyIhIQH169fHt99+q7MYtVVXa4qNjQ3atWuHiIgI3L17N1srt6CgIAwaNAj9+/fH8uXLUbFiRZw9exZXrlzBuHHjsHjxYo3FNmzYMOzbt0+ZFOnUqRMeP36Mw4cPK3+4MDVV/XqbkJCAq1ev5jmrjmLw2A8++CDfsWQUY1a92YWoIArzma8utWrVwldffYWAgAC0a9cO77zzDszMzPD777/j5cuX+N///pdt2vnU1NQcf9xISkqCv78/AgMD0bx5c7i4uODRo0c4ffo0njx5gjJlyuDnn3/OsQuUEAKHDx9GmTJl0Lp1a41cq9YIIioSAKIwbyEAonLlytm2R0ZGirffflvY29sLGxsb0bp1a/HLL7+I6OhoAUC0b98+2z779+8Xbdq0EdbW1so4Dh06VPSLISIlxXsqr6VRo0ZCCCGePXsmqlatKgCIvXv3ZjtWenq6aNu2rQAgFi1apNzu5+enfN/++uuvolWrVsLKykrY2dmJnj17iosXL+Ya34YNG0Tr1q2FtbW1sLCwEPXq1RNz584VL168yFY263lyu9ac6iUhhDh8+LB47733hKurqyhVqpQoV66caNiwofD39xeHDx9Wy3nyqssOHTokAAg/P79s+61fv140btxYWFlZiXLlyomePXuKs2fPirVr1woAYvr06YWKLyd37twRcrlcdOvWLdtzedXPQgjRvn17AUBER0dney63GIUQ4uXLl+J///ufaN26tbCzsxNmZmbCzc1NtG/fXnz11VciJiZGpXxMTIz44IMPRIUKFYSFhYWoU6eOCAkJEWlpaaJy5crZPqPyek2FKNrrVFB79uwRw4YNE3Xr1hX29vbC1NRUlCtXTrRv317873//E69evcpxP8V15BbT0aNHRZcuXUSZMmWElZWVaNasmVi3bl2ucbx48UJYW1uLhg0bquOySEd+++030bNnT+Hs7CxMTU2Fra2taNGihZg/f754/vx5jvvk9b7M7T09ffp0AUCsXbtWZXte72MFddbV+Z0vr7q8KO/rTZs2CQBiwYIFOT6/d+9e0bJlS2FjYyPKlCkjvLy8RERERL51jDqkpaWJr7/+WtSrV09YWFiIcuXKiX79+uX6ual47XKrr1+9eiXs7e0FAHH27Nl8z79o0SIBQMyaNavAMRfnM19ddu/eLdq1ayesra2FtbW1aNeunfj1119zLKt4P7z5GZKYmCgmTpwo2rdvLypUqCDMzc2FlZWVqFevnhg/fry4e/duruc/cuSIACA+++wztV6XLsiE4BQfRERE2jRkyBCsX78ehw4dyvVXctK93r17Y8+ePYiJicnz10syHFu2bMEHH3yAb7/9FqNGjdJ1OER6KTk5GZUrV4ajoyPOnTun63D0So8ePfDXX3/h1q1bxZ7615iMHDkSK1euxPnz57NNnGFoOAYKERERUQ5mz56NjIyMHLtTkuERQmD+/PmoVq0aPvroI12HQ6S3zM3NMW3aNJw/fx579uzRdTh6Iz09HUeOHMEXX3zB5EkhPHjwABs2bMCgQYMMPnkCMIFCRERElKP69evDz88PK1asUBmwkAzTrl27cPbsWcybN4/TFxPl4+OPP0bNmjUxc+ZMXYeiN+RyOeLj4xEUFKTrUAzK/PnzAQBz5szRcSTqwS48REREWsYuPERERESGhwkUIiIiIiIiIqJ8sAsPEREREREREVE+mEAhIiIiIiIiIsqHqa4DMCQZGRm4f/8+bGxsIJPJdB0OEZGSEALPnj2Dq6srTExKfm6c9TER6Stjqo9ZFxORPtNEfcwESiHcv38fbm5uug6DiChXMTExqFixoq7D0DjWx0Sk74yhPmZdTESGQJ31MRMohaCY7zsmJga2trY6joaIKFNiYiLc3NyU9VRJx/qYiPSVMdXHrIuJSJ9poj5mAqUQFE0TbW1t+SFBRHrJWJpQsz4mIn1nDPUx62IiMgTqrI9LdsdMIiIiIiIiIiI1YAKFiIiIiIiIiCgfTKAQEREREREREeVDLxMoR44cQffu3eHq6gqZTIadO3fmu09ERASaNGkCc3NzVK9eHevWrctWZvny5XB3d4eFhQU8PT1x4sQJ9QdPRERERERERCWOXg4im5SUhEaNGmHYsGHo06dPvuWjo6Ph4+ODTz75BJs2bUJ4eDiGDx8OFxcXeHt7AwC2bduGgIAAhIaGwtPTE0uWLIG3tzeuXr0KR0dHTV9SkbgH7lU+vhXio8NIiIj0U/3p+2FibsU6koiIyAhp+vtSYY/P728ln14mULp27YquXbsWuHxoaCiqVKmCr7/+GgBQp04dHD16FIsXL1YmUBYtWoQRI0Zg6NChyn327t2LNWvWIDAwUP0XUURZ33Qlkb5VQtqq5HL7f83tnIZS+RY1TkO5Pk1Qx7Ub8+tHREREJVdB7nEK+32psOU1fV7euxk2vUygFFZkZCS8vLxUtnl7e2Ps2LEAgJSUFJw6dQpBQUHK501MTODl5YXIyMhcj5ucnIzk5GTlemJiIoDMXzyzKunJgIJUAJpOjuRWvjjHUQd9+zKr6co6t+Pn9zqo63XX59dbH+IhIiIiKgk0nSjR9HEKcnzeOxqeEpFAiY2NhZOTk8o2JycnJCYm4uXLl3j69CnS09NzLHPlypVcjxscHIyZM2cWKIbivME1mUwpbKJBXckIXVUMBUmyFHZfQ1Cc69Pkh4SmP/iK8zeticSbuo6pyQQUEREREREVTYlIoGhKUFAQAgIClOuJiYlwc3NT+3k0+SWzsF/6DIWur6sgiaPCHqewSZviXJ8+/Z/rw68F2mwdpu79FGUykl8U6RwlhSEnQImIiIjIMJSIBIqzszPi4uJUtsXFxcHW1haWlpaQy+WQy+U5lnF2ds71uObm5jA3N9dIzIWliy+8uvqSrQ9f7vUhBgV9iqWg9DVmbSbeSkqCi4iIiIiIJCUigdKqVSvs27dPZduBAwfQqlUrAICZmRmaNm2K8PBw9OrVCwCQkZGB8PBw+Pv7aztco6Pr1iKGgq8BERERERGR/tLLBMrz589x/fp15Xp0dDSioqJQtmxZVKpUCUFBQbh37x42bNgAAPjkk0/wzTffYMKECRg2bBj++OMP/Pjjj9i7N/MLaUBAAPz8/NCsWTO0aNECS5YsQVJSknJWHmPDL+tEREREREREBaeXCZSTJ0+iY8eOynXFOCR+fn5Yt24dHjx4gDt37iifr1KlCvbu3Ytx48Zh6dKlqFixIlatWqWcwhgAfH198ejRI0ybNg2xsbHw8PBAWFhYtoFliYjIsHE8FCIiIiLSBL1MoHTo0AFCiFyfX7duXY77nDlzJs/j+vv7s8sOERERERERERWaia4DICIiIiIiIiLSd0ygEBFRsS1fvhzu7u6wsLCAp6cnTpw4kWvZ7du3o1mzZihTpgxKly4NDw8P/PDDDxqJyz1wL8d8IiIiIiK1YAKFiIiKZdu2bQgICMD06dNx+vRpNGrUCN7e3nj48GGO5cuWLYvJkycjMjIS586dw9ChQzF06FDs379fy5ETERERERUcEyhERFQsixYtwogRIzB06FDUrVsXoaGhsLKywpo1a3Is36FDB/Tu3Rt16tRBtWrVMGbMGDRs2BBHjx7VcuRERERERAXHBAoRERVZSkoKTp06BS8vL+U2ExMTeHl5ITIyMt/9hRAIDw/H1atX8dZbb+VaLjk5GYmJiSoLEREREZE2MYFCRERF9vjxY6Snp2ebEt7JyQmxsbG57peQkABra2uYmZnBx8cHy5YtwzvvvJNr+eDgYNjZ2SkXNzc3tV0DEREREVFBMIFCRERaZ2Njg6ioKPzzzz+YO3cuAgICEBERkWv5oKAgJCQkKJeYmBjtBUtEREREBMBU1wEQEZHhcnBwgFwuR1xcnMr2uLg4ODs757qfiYkJqlevDgDw8PDA5cuXERwcjA4dOuRY3tzcHObm5kWOM+tMPLdCfIp8HCIiIiIyXmyBQkRERWZmZoamTZsiPDxcuS0jIwPh4eFo1apVgY+TkZGB5ORkTYRIRERERKQWbIFCRETFEhAQAD8/PzRr1gwtWrTAkiVLkJSUhKFDhwIABg8ejAoVKiA4OBiANJ5Js2bNUK1aNSQnJ2Pfvn344YcfsGLFCl1eBhERERFRnphAISKiYvH19cWjR48wbdo0xMbGwsPDA2FhYcqBZe/cuQMTk8wGj0lJSfj0009x9+5dWFpaonbt2ti4cSN8fX11dQlERERERPliAoWIiIrN398f/v7+OT735uCwc+bMwZw5c7QQVc44HgoRERERFQUTKEREZLSYTCEiIiKiguIgskRERERERERE+WAChYiIiIjIyIWEhEAmk2Hs2LG6DoWISG8xgUJEREREZMT++ecffPfdd2jYsKGuQyEi0mtMoBARERERGannz59j4MCBWLlyJezt7XUdDhGRXmMChYiIiIjISI0ePRo+Pj7w8vLKt2xycjISExNVFiIiY8JZeIiIiMAZeYjI+GzduhWnT5/GP//8U6DywcHBmDlzpoajIiLSX2yBQkRERERkZGJiYjBmzBhs2rQJFhYWBdonKCgICQkJyiUmJkbDURIR6Re2QCEiInoDW6MQUUl36tQpPHz4EE2aNFFuS09Px5EjR/DNN98gOTkZcrlcZR9zc3OYm5trO1QiIr3BBAoRERERkZHp1KkTzp8/r7Jt6NChqF27NiZOnJgteUJERHrehWf58uVwd3eHhYUFPD09ceLEiVzLdujQATKZLNvi45P5y+GQIUOyPd+lSxdtXAoRERERkd6wsbFB/fr1VZbSpUujXLlyqF+/vq7DIyLSS3rbAmXbtm0ICAhAaGgoPD09sWTJEnh7e+Pq1atwdHTMVn779u1ISUlRrj958gSNGjXCe++9p1KuS5cuWLt2rXKdzRCJiIiIiIiIKD96m0BZtGgRRowYgaFDhwIAQkNDsXfvXqxZswaBgYHZypctW1ZlfevWrbCyssqWQDE3N4ezs7PmAiciohKF46EQkbGIiIjQdQhERHpNL7vwpKSk4NSpUyrz0ZuYmMDLywuRkZEFOsbq1avRv39/lC5dWmV7REQEHB0dUatWLYwaNQpPnjzJ9Ric656IiIiIiIiIAD1NoDx+/Bjp6elwcnJS2e7k5ITY2Nh89z9x4gQuXLiA4cOHq2zv0qULNmzYgPDwcMyfPx+HDx9G165dkZ6enuNxgoODYWdnp1zc3NyKflFEREREREREZLD0tgtPcaxevRoNGjRAixYtVLb3799f+bhBgwZo2LAhqlWrhoiICHTq1CnbcYKCghAQEKBcT0xMZBKFiIiIiIiIyAjpZQsUBwcHyOVyxMXFqWyPi4vLd/ySpKQkbN26FR999FG+56latSocHBxw/fr1HJ83NzeHra2tykJERERERERExkcvEyhmZmZo2rQpwsPDldsyMjIQHh6OVq1a5bnvTz/9hOTkZAwaNCjf89y9exdPnjyBi4tLsWMmIqKSzz1wr3IhIiIiIuOilwkUAAgICMDKlSuxfv16XL58GaNGjUJSUpJyVp7BgwcjKCgo236rV69Gr169UK5cOZXtz58/x5dffom///4bt27dQnh4OHr27Inq1avD29tbK9dERERERERERIZJb8dA8fX1xaNHjzBt2jTExsbCw8MDYWFhyoFl79y5AxMT1fzP1atXcfToUfz+++/ZjieXy3Hu3DmsX78e8fHxcHV1RefOnTF79myYm5tr5ZqIiKjk4PTGRERERMZFbxMoAODv7w9/f/8cn8tpnvpatWpBCJFjeUtLS+zfv1+d4RERERERERGRkdDbLjxERERERERERPpCr1ugEBERGQJ25yEiIiIq+dgChYiIiIiIiIgoH0ygEBERERERERHlQysJlLi4ONy5c0cbpyIiIiIiIiIiUjutjIHSq1cv/PPPP0hLS9PG6YiIiHSG46EQERERlUxaG0Q2t+mFiYiISiomU4iIiIhKDo6BQkRERERERESUj0K1QHn77beLdJJLly4VaT8iIjIMy5cvx1dffYXY2Fg0atQIy5YtQ4sWLXIsu3LlSmzYsAEXLlwAADRt2hTz5s3LtTwRERERkT4oVAIlIiICMpmsSN1xZDJZofchIiL9t23bNgQEBCA0NBSenp5YsmQJvL29cfXqVTg6OmYrHxERgQEDBqB169awsLDA/Pnz0blzZ1y8eBEVKlTQwRUQEREREeWvUAkUOzs7JCYm4vfff4eNjU2B9xs+fDhboRARlVCLFi3CiBEjMHToUABAaGgo9u7dizVr1iAwMDBb+U2bNqmsr1q1Cr/88gvCw8MxePBgrcSsCxwPhYiIiMiwFSqB0qxZM/zxxx8wMzODp6dngfeztrYudGBERKT/UlJScOrUKQQFBSm3mZiYwMvLC5GRkQU6xosXL5CamoqyZctqKkwiIiIiomIr1CCyiqTJyZMnNRIMEREZlsePHyM9PR1OTk4q252cnBAbG1ugY0ycOBGurq7w8vLKtUxycjISExNVFiIiIiIibSpUC5TWrVvD1tYWly9fLtRJfHx8ULt27ULtQ0REJV9ISAi2bt2KiIgIWFhY5FouODgYM2fO1GJkmsXuPERERESGp1AJlG7duuHp06eFPsmUKVMKvQ8REek/BwcHyOVyxMXFqWyPi4uDs7NznvsuXLgQISEhOHjwIBo2bJhn2aCgIAQEBCjXExMT4ebmVvTAiYiIiIgKqVBdeIiIiLIyMzND06ZNER4ertyWkZGB8PBwtGrVKtf9FixYgNmzZyMsLAzNmjXL9zzm5uawtbVVWYiIiIiItKlQLVCIiIjeFBAQAD8/PzRr1gwtWrTAkiVLkJSUpJyVZ/DgwahQoQKCg4MBAPPnz8e0adOwefNmuLu7K8dKsba2NspBx9mdh4iIiMgwMIFCRETF4uvri0ePHmHatGmIjY2Fh4cHwsLClAPL3rlzByYmmQ0eV6xYgZSUFPTr10/lONOnT8eMGTO0GToRERERUYGpJYEya9YseHh4oEePHgCAXbt24ezZs5g2bZo6Dk9ERHrO398f/v7+OT4XERGhsn7r1i3NB2Sg2BqFiIiISH+pZQyUGTNmYOfOncr1nTt3lqjZEoiIiIiIiIjIuHEQWSIiIiIiIiKifHAMFCIiIj3E7jxERERE+kWvW6AsX74c7u7usLCwgKenJ06cOJFr2XXr1kEmk6ksFhYWKmWEEJg2bRpcXFxgaWkJLy8v/Pvvv5q+DCIiIiIiIiIycHqbQNm2bRsCAgIwffp0nD59Go0aNYK3tzcePnyY6z62trZ48OCBcrl9+7bK8wsWLMD//vc/hIaG4vjx4yhdujS8vb3x6tUrTV8OERFRkbkH7lUuRERERKQbeptAWbRoEUaMGIGhQ4eibt26CA0NhZWVFdasWZPrPjKZDM7OzspFMYUmILU+WbJkCaZMmYKePXuiYcOG2LBhA+7fv68yAC4REZE+YzKFiIiISDf0MoGSkpKCU6dOwcvLS7nNxMQEXl5eiIyMzHW/58+fo3LlynBzc0PPnj1x8eJF5XPR0dGIjY1VOaadnR08PT3zPCYRERERERERkV4mUB4/foz09HSVFiQA4OTkhNjY2Bz3qVWrFtasWYNdu3Zh48aNyMjIQOvWrXH37l0AUO5XmGMmJycjMTFRZSEiIiIiIiIi46OXCZSiaNWqFQYPHgwPDw+0b98e27dvR/ny5fHdd98V+ZjBwcGws7NTLm5ubmqMmIiIiIiIiIgMhV4mUBwcHCCXyxEXF6eyPS4uDs7OzgU6RqlSpdC4cWNcv34dAJT7FeaYQUFBSEhIUC4xMTGFvRQiIiKN4XgoRERERNqjlwkUMzMzNG3aFOHh4cptGRkZCA8PR6tWrQp0jPT0dJw/fx4uLi4AgCpVqsDZ2VnlmImJiTh+/HiuxzQ3N4etra3KQkREpI+YTCEiIiLSLFNdB5CbgIAA+Pn5oVmzZmjRogWWLFmCpKQkDB06FAAwePBgVKhQAcHBwQCAWbNmoWXLlqhevTri4+Px1Vdf4fbt2xg+fDgAaYaesWPHYs6cOahRowaqVKmCqVOnwtXVFb169dLVZRIRERERERGRAVBLAsXPzw9t27ZVrmd9XFS+vr549OgRpk2bhtjYWHh4eCAsLEw5COydO3dgYpLZgObp06cYMWIEYmNjYW9vj6ZNm+LYsWOoW7eussyECROQlJSEjz/+GPHx8Wjbti3CwsJgYWFR7HiJiIiIiIiIqOSSCSGEroMwFImJidJgsmN/hIm5la7DISJSykh+gZgl7yMhIcEouhuyPi64WyE+ug6ByKgo6idjqI+N6VpJO4ytGyo/ozVLE3WUXo6BQkRERERERESkT9TShefFixc4efIkHjx4gOTk5FzLDR48WB2nIyIiogLK+msef+kiIiIiKrpiJ1CmTZuGxYsX48WLF7mWEUJAJpMxgUJERKRDTKYQUVbBwcHYvn07rly5AktLS7Ru3Rrz589HrVq1dB0aEZFeKlYCZcGCBZgzZw7kcjl8fHxQs2ZN2NjYqCs2IiIiIiLSkMOHD2P06NFo3rw50tLSMGnSJHTu3BmXLl1C6dKldR0eEZHeKVYCZeXKlbC0tMSff/6JJk2aqCsmIiIi0jC2RiGisLAwlfV169bB0dERp06dwltvvaWjqIiI9FexEigxMTF4++23mTwhIiIiIjJwCQkJAICyZcvm+HxycrLKeIeJiYlaiYuISF8UaxYeZ2dnNu8jIiIiIjJwGRkZGDt2LNq0aYP69evnWCY4OBh2dnbKxc3NTctREhHpVrESKP3790dERASSkpLUFQ8RERFpmXvgXuVCRMZp9OjRuHDhArZu3ZprmaCgICQkJCiXmJgYLUZIRKR7xerCM2PGDBw7dgw9evTAd999h+rVq6srLiIiItIBjo1CZHz8/f2xZ88eHDlyBBUrVsy1nLm5OczNzbUYGRGRfilWAqVbt27IyMhAREQE6tSpg8qVK6NixYowMcnesEUmkyE8PLw4pyMiIiIiIjURQuCzzz7Djh07EBERgSpVqug6JCIivVasBEpERITycXp6Om7evImbN2/mWFYmkxXnVERERKRlitYobIlCVDKNHj0amzdvxq5du2BjY4PY2FgAgJ2dHSwtLXUcHRGR/ilWAiU6OlpdcRAREZGeYrceopJpxYoVAIAOHTqobF+7di2GDBmi/YCIiPRcsRIolStXVlccRERERESkRUIIXYdARGRQipVAISIiIuPC1ihERERkrJhAISIioiJhMoWIiIiMSfbpcoiIiApp+fLlcHd3h4WFBTw9PXHixIlcy168eBF9+/aFu7s7ZDIZlixZor1AiYiIiIiKiAkUIiIqlm3btiEgIADTp0/H6dOn0ahRI3h7e+Phw4c5ln/x4gWqVq2KkJAQODs7azla0hT3wL3KhYiIiKgkYgKFiIiKZdGiRRgxYgSGDh2KunXrIjQ0FFZWVlizZk2O5Zs3b46vvvoK/fv3h7m5uZajJW1gMoWIiIhKIiZQiIioyFJSUnDq1Cl4eXkpt5mYmMDLywuRkZE6jIyIiIiISL04iCwRERXZ48ePkZ6eDicnJ5XtTk5OuHLlitrOk5ycjOTkZOV6YmKi2o5NmsWBZomIiKikYAKFiIj0XnBwMGbOnKnrMKiYmEwhIiIiQ8YuPEREVGQODg6Qy+WIi4tT2R4XF6fWAWKDgoKQkJCgXGJiYtR2bCIiIiKigmAChYiIiszMzAxNmzZFeHi4cltGRgbCw8PRqlUrtZ3H3Nwctra2KgsZNg40S0RERIZGrxMoy5cvh7u7OywsLODp6YkTJ07kWnblypVo164d7O3tYW9vDy8vr2zlhwwZAplMprJ06dJF05dBRFSiBQQEYOXKlVi/fj0uX76MUaNGISkpCUOHDgUADB48GEFBQcryKSkpiIqKQlRUFFJSUnDv3j1ERUXh+vXruroE0jEmU4iIiMgQ6O0YKNu2bUNAQABCQ0Ph6emJJUuWwNvbG1evXoWjo2O28hERERgwYABat24NCwsLzJ8/H507d8bFixdRoUIFZbkuXbpg7dq1ynVOoUlEVDy+vr549OgRpk2bhtjYWHh4eCAsLEw5sOydO3dgYpKZr79//z4aN26sXF+4cCEWLlyI9u3bIyIiQtvhExEREREViEwIIXQdRE48PT3RvHlzfPPNNwCkJuFubm747LPPEBgYmO/+6enpsLe3xzfffIPBgwcDkFqgxMfHY+fOnUWKKTExEXZ2dnAb+yNMzK2KdAwiIk3ISH6BmCXvIyEhwSi6t7A+Nj4cdJYMhaJ+Mob62JiulbTD2Foi8rNNszRRR+llF56UlBScOnUKXl5eym0mJibw8vJCZGRkgY7x4sULpKamomzZsirbIyIi4OjoiFq1amHUqFF48uRJrsdITk5GYmKiykJERERERERExkcvu/A8fvwY6enpyubfCk5OTrhy5UqBjjFx4kS4urqqJGG6dOmCPn36oEqVKrhx4wYmTZqErl27IjIyEnK5PNsxOG0mERGRfuAUyERERKRreplAKa6QkBBs3boVERERsLCwUG7v37+/8nGDBg3QsGFDVKtWDREREejUqVO24wQFBSEgIEC5npiYCDc3N80GT0RERHliMoWIiIh0QS8TKA4ODpDL5YiLi1PZHhcXB2dn5zz3XbhwIUJCQnDw4EE0bNgwz7JVq1aFg4MDrl+/nmMCxdzcnIPMEhER6bHc+sszsUJERETqppdjoJiZmaFp06YIDw9XbsvIyEB4eDhatWqV634LFizA7NmzERYWhmbNmuV7nrt37+LJkydwcXFRS9xEREREREREVDLpZQsUAAgICICfnx+aNWuGFi1aYMmSJUhKSsLQoUMBAIMHD0aFChUQHBwMAJg/fz6mTZuGzZs3w93dHbGxsQAAa2trWFtb4/nz55g5cyb69u0LZ2dn3LhxAxMmTED16tXh7e2ts+skIiIi9WM3HyIiIlI3vU2g+Pr64tGjR5g2bRpiY2Ph4eGBsLAw5cCyd+7cgYlJZgOaFStWICUlBf369VM5zvTp0zFjxgzI5XKcO3cO69evR3x8PFxdXdG5c2fMnj2b3XSIiIhKMHbzISIiInXQ2wQKAPj7+8Pf3z/H5yIiIlTWb926leexLC0tsX//fjVFRkRERIaOrVSIiIioMPQ6gUJERESkDUymEBERUX6YQCEiIiLKgskUIiIiygkTKERERES5YDKFiIiIFJhAISIiIioADkZLRERk3JhAISIiIioGtlIhIiIyDkygEBEREalJTq1UmFQhIiIqGUx0HQARERERERERkb5jCxQiIiIiDeLYKURERCUDEyhEREREOsDEChERkWFhAoWIiIhIjzCxQkREpJ+YQCEiIiIyAEysEBER6RYTKEREREQGjNMoExERaQcTKEREREQlBFupEBERaQ4TKEREREQlXG6JlayYZCEiIsobEyhERERExK5ARERE+WAChYiIiIhUFKQrEBMuRERkbJhAISIiIqICyS2xwi5CRERkDJhAISIiIiKNY5KFiIgMHRMoRERERKQXCpJkUWCyhYiItI0JFCIiIiIyOIVJtgBMuBARUfExgUJEREREJV5xEi4cMJeIiAAmUIiIiIiIsinqgLkZyS80EQ4REekBE10HkJfly5fD3d0dFhYW8PT0xIkTJ/Is/9NPP6F27dqwsLBAgwYNsG/fPpXnhRCYNm0aXFxcYGlpCS8vL/z777+avAQiIqOg7vqaiIi0p7B1OBGRsdLbBMq2bdsQEBCA6dOn4/Tp02jUqBG8vb3x8OHDHMsfO3YMAwYMwEcffYQzZ86gV69e6NWrFy5cuKAss2DBAvzvf/9DaGgojh8/jtKlS8Pb2xuvXr3S1mUREZU4mqiviYhIOwpbhxMRGTOZEELoOoiceHp6onnz5vjmm28AABkZGXBzc8Nnn32GwMDAbOV9fX2RlJSEPXv2KLe1bNkSHh4eCA0NhRACrq6uGD9+PL744gsAQEJCApycnLBu3Tr0798/35gSExNhZ2cHt7E/wsTcSk1XSkRUfBnJLxCz5H0kJCTA1tZWq+dWd31dEKyPiUhf6bI+LorC1uFZKepiQ7lW0n+FHavI0HFMJc3SRB2ll2OgpKSk4NSpUwgKClJuMzExgZeXFyIjI3PcJzIyEgEBASrbvL29sXPnTgBAdHQ0YmNj4eXlpXzezs4Onp6eiIyMzDGBkpycjOTkZOV6QkICAPZtJSL9o6iXtJ0T10R9nRPWx0RkKHRVHxdFYevw3OrixMREzQdLRsHYPtf53tEsxeurzvpYLxMojx8/Rnp6OpycnFS2Ozk54cqVKznuExsbm2P52NhY5fOKbbmVeVNwcDBmzpyZbfu9FUMKdB1ERNr25MkT2NnZae18mqivc8L6mIgMjbbr46IobB2eW13s5uamsRiJSjK7JbqOwDiosz7WywSKvggKClL5lTQ+Ph6VK1fGnTt39P4DsbgSExPh5uaGmJgYo2iSaUzXy2stmRISElCpUiWULVtW16FoBOtj4/g75rWWXMZ0vSW5PmZdbBx/w4BxXS+vteTSRH2slwkUBwcHyOVyxMXFqWyPi4uDs7Nzjvs4OzvnWV7xb1xcHFxcXFTKeHh45HhMc3NzmJubZ9tuZ2dnFH9wAGBra2s01woY1/XyWksmExPtjg2uifo6J6yPjevvmNdachnT9Wq7Pi6KwtbhrIuN628YMK7r5bWWXOqsj/WyZjczM0PTpk0RHh6u3JaRkYHw8HC0atUqx31atWqlUh4ADhw4oCxfpUoVODs7q5RJTEzE8ePHcz0mERHlTRP1NRERaUdR6nAiImOmly1QACAgIAB+fn5o1qwZWrRogSVLliApKQlDhw4FAAwePBgVKlRAcHAwAGDMmDFo3749vv76a/j4+GDr1q04efIkvv/+ewCATCbD2LFjMWfOHNSoUQNVqlTB1KlT4erqil69eunqMomIDJ6662siItKe/OpwIiLKpLcJFF9fXzx69AjTpk1DbGwsPDw8EBYWphzk6s6dOypNcVq3bo3NmzdjypQpmDRpEmrUqIGdO3eifv36yjITJkxAUlISPv74Y8THx6Nt27YICwuDhYVFgWIyNzfH9OnTc2y6WNIY07UCxnW9vNaSSZfXqon6Oj/8vy2ZeK0llzFdr6Fda351eF4M7VqLw5iuFTCu6+W1llyauF6ZMIQ51oiIiIiIiIiIdEgvx0AhIiIiIiIiItInTKAQEREREREREeWDCRQiIiIiIiIionwwgUJERERERERElA8mUN6wfPlyuLu7w8LCAp6enjhx4kSe5X/66SfUrl0bFhYWaNCgAfbt26elSIuvMNe6cuVKtGvXDvb29rC3t4eXl1e+r40+Kez/q8LWrVshk8kMbqrrwl5vfHw8Ro8eDRcXF5ibm6NmzZoG87dc2GtdsmQJatWqBUtLS7i5uWHcuHF49eqVlqItuiNHjqB79+5wdXWFTCbDzp07890nIiICTZo0gbm5OapXr45169ZpPE5tKOr72dAEBwejefPmsLGxgaOjI3r16oWrV6/qOiyNCwkJgUwmw9ixY3Udisbcu3cPgwYNQrly5WBpaYkGDRrg5MmTug5L7dLT0zF16lRUqVIFlpaWqFatGmbPno2SMn9BfvWyEALTpk2Di4sLLC0t4eXlhX///Vc3wRYD741zZuj3xoBx3R/z3jh3vDcuJEFKW7duFWZmZmLNmjXi4sWLYsSIEaJMmTIiLi4ux/J//fWXkMvlYsGCBeLSpUtiypQpolSpUuL8+fNajrzwCnutH3zwgVi+fLk4c+aMuHz5shgyZIiws7MTd+/e1XLkhVfYa1WIjo4WFSpUEO3atRM9e/bUTrBqUNjrTU5OFs2aNRPdunUTR48eFdHR0SIiIkJERUVpOfLCK+y1btq0SZibm4tNmzaJ6OhosX//fuHi4iLGjRun5cgLb9++fWLy5Mli+/btAoDYsWNHnuVv3rwprKysREBAgLh06ZJYtmyZkMvlIiwsTDsBa0hR38+GyNvbW6xdu1ZcuHBBREVFiW7duolKlSqJ58+f6zo0jTlx4oRwd3cXDRs2FGPGjNF1OBrx33//icqVK4shQ4aI48ePi5s3b4r9+/eL69ev6zo0tZs7d64oV66c2LNnj4iOjhY//fSTsLa2FkuXLtV1aGqRX70cEhIi7OzsxM6dO8XZs2dFjx49RJUqVcTLly91E3AR8N64ZN4bC2Fc98e8N+a9sRDquzdmAiWLFi1aiNGjRyvX09PThaurqwgODs6x/Pvvvy98fHxUtnl6eoqRI0dqNE51KOy1viktLU3Y2NiI9evXaypEtSnKtaalpYnWrVuLVatWCT8/P4P5gBCi8Ne7YsUKUbVqVZGSkqKtENWmsNc6evRo8fbbb6tsCwgIEG3atNFonOpWkA+JCRMmiHr16qls8/X1Fd7e3hqMTPOKW3cZsocPHwoA4vDhw7oORSOePXsmatSoIQ4cOCDat29fYhMoEydOFG3bttV1GFrh4+Mjhg0bprKtT58+YuDAgTqKSHPerJczMjKEs7Oz+Oqrr5Tb4uPjhbm5udiyZYsOIiwa3huXzHtjIYzr/pj3xrw3FkJ998bswvNaSkoKTp06BS8vL+U2ExMTeHl5ITIyMsd9IiMjVcoDgLe3d67l9UVRrvVNL168QGpqKsqWLaupMNWiqNc6a9YsODo64qOPPtJGmGpTlOvdvXs3WrVqhdGjR8PJyQn169fHvHnzkJ6erq2wi6Qo19q6dWucOnVK2ZTx5s2b2LdvH7p166aVmLXJUOunvKij7jJkCQkJAKD39W5RjR49Gj4+Ptn+bkua3bt3o1mzZnjvvffg6OiIxo0bY+XKlboOSyNat26N8PBwXLt2DQBw9uxZHD16FF27dtVxZJoXHR2N2NhYlb9nOzs7eHp6Gkx9xXvjknlvDBjX/THvjXlvrKCu+slUnUEZssePHyM9PR1OTk4q252cnHDlypUc94mNjc2xfGxsrMbiVIeiXOubJk6cCFdXV72/0S3KtR49ehSrV69GVFSUFiJUr6Jc782bN/HHH39g4MCB2LdvH65fv45PP/0UqampmD59ujbCLpKiXOsHH3yAx48fo23bthBCIC0tDZ988gkmTZqkjZC1Krf6KTExES9fvoSlpaWOIis6ddRdhiojIwNjx45FmzZtUL9+fV2Ho3Zbt27F6dOn8c8//+g6FI27efMmVqxYgYCAAEyaNAn//PMPPv/8c5iZmcHPz0/X4alVYGAgEhMTUbt2bcjlcqSnp2Pu3LkYOHCgrkPTOMW9oCHeJyrw3rhk3hsDxnV/zHtj3hsrqOvemAkUKrSQkBBs3boVERERsLCw0HU4avXs2TN8+OGHWLlyJRwcHHQdjlZkZGTA0dER33//PeRyOZo2bYp79+7hq6++0usPiaKIiIjAvHnz8O2338LT0xPXr1/HmDFjMHv2bEydOlXX4RHlavTo0bhw4QKOHj2q61DULiYmBmPGjMGBAwdK3GdKTjIyMtCsWTPMmzcPANC4cWNcuHABoaGhJS6B8uOPP2LTpk3YvHkz6tWrh6ioKIwdOxaurq4l7lrJuJXke2PA+O6PeW/Me+O8MIHymoODA+RyOeLi4lS2x8XFwdnZOcd9nJ2dC1VeXxTlWhUWLlyIkJAQHDx4EA0bNtRkmGpR2Gu9ceMGbt26he7duyu3ZWRkAABMTU1x9epVVKtWTbNBF0NR/m9dXFxQqlQpyOVy5bY6deogNjYWKSkpMDMz02jMRVWUa506dSo+/PBDDB8+HADQoEEDJCUl4eOPP8bkyZNhYlJyejXmVj/Z2toaZOsToHh1lyHz9/fHnj17cOTIEVSsWFHX4ajdqVOn8PDhQzRp0kS5LT09HUeOHME333yD5ORklfrJ0Lm4uKBu3boq2+rUqYNffvlFRxFpzpdffonAwED0798fgFTn3r59G8HBwSU+gaKok+Li4uDi4qLcHhcXBw8PDx1FVTi8Ny6Z98aAcd0f896Y98YK6ro3LjmvSDGZmZmhadOmCA8PV27LyMhAeHg4WrVqleM+rVq1UikPAAcOHMi1vL4oyrUCwIIFCzB79myEhYWhWbNm2gi12Ap7rbVr18b58+cRFRWlXHr06IGOHTsiKioKbm5u2gy/0Iryf9umTRtcv35d+UEIANeuXYOLi4vefkAARbvWFy9eZPsgUHw4ihIyraaCodZPeSlq3WWohBDw9/fHjh078Mcff6BKlSq6DkkjOnXqlK3ebdasGQYOHIioqKgSlTwBpDr3zemor127hsqVK+soIs3Jrc7N+nlTUlWpUgXOzs4q9VViYiKOHz9uMPUV741L5r0xYFz3x7w35r2xgtrqp0INOVvCbd26VZibm4t169aJS5cuiY8//liUKVNGxMbGCiGE+PDDD0VgYKCy/F9//SVMTU3FwoULxeXLl8X06dMNaqq2wlxrSEiIMDMzEz///LN48OCBcnn27JmuLqHACnutbzKkUcaFKPz13rlzR9jY2Ah/f39x9epVsWfPHuHo6CjmzJmjq0sosMJe6/Tp04WNjY3YsmWLuHnzpvj9999FtWrVxPvvv6+rSyiwZ8+eiTNnzogzZ84IAGLRokXizJkz4vbt20IIIQIDA8WHH36oLK+Yqu3LL78Uly9fFsuXLy8x0xjn9X9ekowaNUrY2dmJiIgIlXr3xYsXug5N40ryLDwnTpwQpqamYu7cueLff/8VmzZtElZWVmLjxo26Dk3t/Pz8RIUKFZTTGG/fvl04ODiICRMm6Do0tcivXg4JCRFlypQRu3btEufOnRM9e/Y0yGmMeW9c8u6NhTCu+2PeG/PeWAj13RszgfKGZcuWiUqVKgkzMzPRokUL8ffffyufa9++vfDz81Mp/+OPP4qaNWsKMzMzUa9ePbF3714tR1x0hbnWypUrCwDZlunTp2s/8CIo7P9rVob0AaFQ2Os9duyY8PT0FObm5qJq1api7ty5Ii0tTctRF01hrjU1NVXMmDFDVKtWTVhYWAg3Nzfx6aefiqdPn2o/8EI6dOhQju9BxfX5+fmJ9u3bZ9vHw8NDmJmZiapVq4q1a9dqPW5NyOv/vCTJ6f8bQIn5f8xLSU6gCCHEr7/+KurXry/Mzc1F7dq1xffff6/rkDQiMTFRjBkzRlSqVElYWFiIqlWrismTJ4vk5GRdh6YW+dXLGRkZYurUqcLJyUmYm5uLTp06iatXr+o26CLgvbGkpN0bC2Fc98e8N5bw3rj498YyIUpY2xwiIiIiIiIiIjXjGChERERERERERPlgAoWIiIiIiIiIKB9MoBARERERERER5YMJFCIiIiIiIiKifDCBQkRERERERESUDyZQiIiIiIiIiIjyYarrAIoiODgY27dvx5UrV2BpaYnWrVtj/vz5qFWrVp77/fTTT5g6dSpu3bqFGjVqYP78+ejWrVuBz5uRkYH79+/DxsYGMpmsuJdBRKQ2Qgg8e/YMrq6uMDEp+blx1sdEpK80UR8fOXIEX331FU6dOoUHDx5gx44d6NWrl8o5p0+fjpUrVyI+Ph5t2rTBihUrUKNGjTyPu3z5cnz11VeIjY1Fo0aNsGzZMrRo0aLAcbEuJiJ9ppH7Y2GAvL29xdq1a8WFCxdEVFSU6Natm6hUqZJ4/vx5rvv89ddfQi6XiwULFohLly6JKVOmiFKlSonz588X+LwxMTECABcuXLjo7RITE6OOalbvsT7mwoWLvi/qrI/37dsnJk+eLLZv3y4AiB07dqg8HxISIuzs7MTOnTvF2bNnRY8ePUSVKlXEy5cvcz3m1q1bhZmZmVizZo24ePGiGDFihChTpoyIi4srcFysi7lw4WIIizrrY5kQQsDAPXr0CI6Ojjh8+DDeeuutHMv4+voiKSkJe/bsUW5r2bIlPDw8EBoaWqDzJCQkoEyZMoiJiYGtra1aYiciUofExES4ubkhPj4ednZ2ug5H41gfE5G+0nR9LJPJVFqgCCHg6uqK8ePH44svvgAg1ZFOTk5Yt24d+vfvn+NxPD090bx5c3zzzTcApNYkbm5u+OyzzxAYGFigWFgXE5E+00R9bJBdeN6UkJAAAChbtmyuZSIjIxEQEKCyzdvbGzt37izweRRNE21tbfkhQUR6yViaULM+JiJ9p636ODo6GrGxsfDy8lJus7Ozg6enJyIjI3NMoKSkpODUqVMICgpSbjMxMYGXlxciIyMLfG7WxURkCNRZHxt8AiUjIwNjx45FmzZtUL9+/VzLxcbGwsnJSWWbk5MTYmNjc90nOTkZycnJyvXExMTiB0xEREREpCaKe9nC3Oc+fvwY6enpOe5z5cqVXM/Fe2MiMnYGP9Lg6NGjceHCBWzdulXtxw4ODoadnZ1ycXNzU/s5iIiIiIgMAe+NicjYGXQCxd/fH3v27MGhQ4dQsWLFPMs6OzsjLi5OZVtcXBycnZ1z3ScoKAgJCQnKJSYmRi1xk5ESAoiNBU6cAA4eBLZvB7ZtA/btA44eBa5dA9LSdB0lERERGRDFvWxh7nMdHBwgl8t5b0z06hUweTIwZYr0mCgfBtmFRwiBzz77DDt27EBERASqVKmS7z6tWrVCeHg4xo4dq9x24MABtGrVKtd9zM3NYW5uro6QyRi9eAH8+Sfw++/A8ePApUvA06d571OqFFCzJtCoEeDlBbzzDpBPcpCIiIiMV5UqVeDs7Izw8HB4eHgAkLrWHD9+HKNGjcpxHzMzMzRt2hTh4eHKwWgzMjIQHh4Of3//XM/Fe2MqccaNAxQTijx9Cixfrtt4SO8ZZAJl9OjR2Lx5M3bt2gUbGxtl/047OztYWloCAAYPHowKFSogODgYADBmzBi0b98eX3/9NXx8fLB161acPHkS33//vc6ug0qg1FRg715g7Vpg/34gSz/hAu9/8aK0bN4sbWvQAPjwQ2nJ41chItI/7oF78y1zK8RHC5EQkSF7/vw5rl+/rlyPjo5GVFQUypYti0qVKmHs2LGYM2cOatSogSpVqmDq1KlwdXVVJkcAoFOnTujdu7cyQRIQEAA/Pz80a9YMLVq0wJIlS5CUlIShQ4dq+/KIdOOnnzKTJwDw7bfA228DffvqLibSewaZQFmxYgUAoEOHDirb165diyFDhgAA7ty5AxOTzB5KrVu3xubNmzFlyhRMmjQJNWrUwM6dO/MceJaowB49ApYsAVaulB7n4L6NA66Xc8Mte1ckWFjjubkl0mRyWKe8hHXKC7g8e4Lqj++g6n/3YJaRpSvP+fPAhAlAUBDg4wNMnAi0bq2d6yKiQitI0oSIqDBOnjyJjh07KtcVM0v6+flh3bp1mDBhApKSkvDxxx8jPj4ebdu2RVhYGCwsLJT73LhxA48fP1au+/r64tGjR5g2bRpiY2Ph4eGBsLCwbAPLEpVI0dHAiBHZt3/0EdC0KeDurvWQyDDIhBBC10EYisTERNjZ2SEhIYFTtZHkwQNgwQLgu++Aly9Vn3NxkRIenTvD42ga4i0L9jdjmp6G673LS11/fvtNGjPlTR07AlOnSv8SwfjqJ327XnUlTdgahcjw6Vv9pEnGdK1UgqSmAu3aSV3sAcDXV/p32zbp35YtpW74pgbZ1oCy0EQdZdCDyBLpzKtXQHAwUKOG1PJEkTwpVQp4/33gt99QdVAo3Mv1gvspqwInTwAgTW4qtTCZMUOq2K9dAyZNAipUyCx06JDUxLBnT+DGDbVeGhHpjnvgXuVCREREGrBzpzJ5cruMM+q79JV+DFWMq/n331IZohwwgUJUWL/9BtSvLyU1kpKkbZaWwJgxwM2bUva6SxdkmMjVc74aNYC5c6Vjr14NVK+e+dzu3UDdutLo4Rw5nIiIiIgob/v3Kx9O9xqJ5+ZWcA8+imFNPsws8/vvOgiMDAHbJREVVGIiMH48sGpV5jYTE2DkSGD6dECNfYaz/vqsbNJvZgYMGwYMHgxs2iSNifLgAZCSAsybJ2XKN2yQ+m0SkcZpupVIjvUAERERFc8ffwAAkuWlEFmpoXLzscoNkSw3hXl6mrIM0ZvYAoWoII4cARo2VE2etG8PnDkjjditzQHXTE0BPz/g6lVpQNlSpaTtly4Bnp5S15+0tDwPQUSGhV17iIiI1CA6WloAnKpQB8mlMqflflXKAmdca0srN24At2/rIkLSc2yBQpQXIaRBYidNAjIypG3W1sCiRcDw4YBMplJcq19ubGyAkBBg0CApoXL6NJCeDsycKSV8tmzRbmKHyAgwgUFERGTAwsOVD49Vbpjt6WOVG6FlzIXMssOGaSsyMhBMoBDlJj4eGDIE2LUrc1v79sDatZmDTGlBbl/YlE3669eXBruaNw+YPVtKohw6BDRpIo3H0rat1mIlIiIiItJbWbrmHKvcKNvTf1VuhICjmzLLMoFCb2AChSgnN24A3bpJM+AAUkuTqVOBadMAuergsHrxi3SpUtI4LJ06SbMAPXgA3L8vTXP83Xes/ImIiIjIuAmRmUCxscFZl5rZipx1qQmULi1NFBEeLu3zRotzMm4cA4XoTX/9JY0lokielC0L7NsndY2Rq2lmHU1p21Yal6VjR2k9LQ346CPVLkhEZNA4HgoREVERXLwIxMVJj996C+k5zJiZJjcF3npLWomNBS5f1mKAZAiYQCHK6scfgbffBp48kdbr1gVOnQK6dFEpptdfYJycpKnXPv88c1twMPDBB0Bysu7iIiIiIiLSlawz63TqlHu5rM9xNh56AxMoRArffQf07y9NCwwAXl5SaxR3d52GVSSmpsDSpdJi8vptvm0b0L271CSRiApMrxOmREREVDBZBpAtcAIl6z5E4BgoRJIFC6QpgRWGDQNCQzOnCNZDWb/MKQeUfdPnnwNVq0rjorx8CRw4AHTuDOzZA9jbaylSItKUAtUDRERExi4tDYiIkB6XLy9NwoCYnMs2bAiUKye1SI+IkCZo0Pdu/KQ1bIFCxk0IaWDYrMmTL78EVq3S6+RJobz7rtSlx85OWj92TBoj5fFj3cZFRERERKQNp08DiYnS444dM1to58TEJHM8wfh4aXxBotfYAoWM24wZ0tS/CvPmAYGBOY62rc/N9/P9FbptWymD3rkz8OgRcPas1EXpjz+kQXKJiIiIiEqqkyczHysGic1L+/bAzz9n7tusmWbiIoPDFihkvGbNkhaFpUuBoKCSO1WZhwfw55+Ai4u0rkiiPH2q07CISD04VgsREVEuzp/PfNyoUf7lGzbMeV8yemyBQsYpJASYPj1zfelS1VlrSqpatYBDh4AOHaSp2c6ckVqlhIcDtra6jo5IbzAJQUREVIJkTYLUr59nUffAvbB99RznctqXjB4TKGR8QkOlliYKixblmjwxxC9R+XbnqVVL6rrTsSMQFyc1S+zZE/jtN8DCQouREpGmcHBZIiKi14QALlwAANy1LY+2IX/lu0uihTXu2zjA9dljKYEiRMltpU6Fwi48ZFy2bQM+/TRzPTgYGDdOd/FoWK5N+uvUkVqdKMY/iYgAfH2lEcqJiIiIiEqKmBggIQEAcLW8e4F3u1q+svQgPh64d0/9cZFBYgKFjMf+/cCgQVIGGZBm2wkM1G1MulSvntTqpHRpaX33buCjjzJfHyIiIiIiQ5elC44yKVIAKskWduOh19iFh4zD6dNA376ZLSw++giYPz/X4obYdadIWrQAdu4EfHyAlBRgwwbAzQ2YM0fXkRGRmrA7DxERGbUsyY8rhWiBcuXNBErXruqLiQwWW6BQyXf7tpQgSEqS1nv3lsZBYT9GiZcXsHlz5usxdy6wcqVuYyKDs3z5cri7u8PCwgKenp44ceJErmVXrlyJdu3awd7eHvb29vDy8sqzPBEREVGRnVMOB1u0LjxvHIOMGxMoVLI9fQp06ybNOAMArVoBmzYBpmx8paJvX2DJksz1UaOk7j1EBbBt2zYEBARg+vTpOH36NBo1agRvb288fPgwx/IREREYMGAADh06hMjISLi5uaFz5864x/7FREREpG6KFiimprhZtkKBd7tR1g2Qy1WPQUZPJgQHPCioxMRE2NnZISEhAbac8lX/paYCXbpIM84AQI0awLFjgINDjsWNptsO8mjGHxAALF4sPS5dWnq9GjbUXmBUZLqsnzw9PdG8eXN88803AICMjAy4ubnhs88+Q2ABxhlKT0+Hvb09vvnmGwwePLhA59TE9RpDHcAuPESaZ0z3i8Z0rWSgUlKke9q0NKB+fbj7hBRq91u/TgAuXQJKlZJas5cqpaFASRM0UUexBQqVTEIAn32WmTxxcJBaVOSSPKHXFi4E+vWTHiclAd27S1MdE+UiJSUFp06dgpeXl3KbiYkJvLy8EBkZWaBjvHjxAqmpqSirmBUqB8nJyUhMTFRZiIiIiPJ09WrmGIgNGhR+f8U+qanAtWvqi4sMFvsxUMm0bBnw3XfSYzMzaaDUatWyFTOGX5xzkuugkiYm0kCyt28D//wD3LkD9OoFHDoEWFhoP1DSe48fP0Z6ejqcnJxUtjs5OeHKlSsFOsbEiRPh6uqqkoR5U3BwMGbOnFmsWIkDyhIRkZHJ2vWmQQMgoZD7N2gAbNuWeax69dQWGhkmg22BcuTIEXTv3h2urq6QyWTYuXNnnuUjIiIgk8myLbGKsTGo5AgLA8aNy1xfvRpo00Z38RgaS0tg1y6gYkVp/e+/geHDOb0xaURISAi2bt2KHTt2wCKPJF1QUBASEhKUS0xMjBajJCLSf+7u7jne644ePTrH8uvWrctWNq96mMggvZlAKays+3AcFIIBt0BJSkpCo0aNMGzYMPTp06fA+129elWl/5Ojo6MmwiNduXYN6N8fyMiQ1idNAgYNUilirK1OCsXFBdi9G2jbFnjxQhp4t1Ej4MsvdR0Z6RkHBwfI5XLEvdHVKy4uDs7Oznnuu3DhQoSEhODgwYNomM9YO+bm5jA3Ny92vJSJrVGISpZ//vkH6enpyvULFy7gnXfewXvvvZfrPra2trh69apyXcYZCqmkeTOBcvRC4fZnAoXeYLAJlK5du6JrEebidnR0RJkyZdQfEOleYqLU3SThddu8Xr2A2bN1GZFByPVLVOPGwMaNgCJBGRgoDSjr7a3lCEmfmZmZoWnTpggPD0evXr0ASIPIhoeHw9/fP9f9FixYgLlz52L//v1o1qyZlqIlIiq5ypcvr7IeEhKCatWqoX379rnuI5PJ8k12Exk0RdLD1haoVAlAIRMolSsD1tbA8+dMoBAAA+7CU1QeHh5wcXHBO++8g7/++kvX4ZC6ZGQAH34IXL4srderJ43lYWJ0f+Lq1bs3MG2a9DgjQ2rdc/26bmMivRMQEICVK1di/fr1uHz5MkaNGoWkpCQMHToUADB48GAEBQUpy8+fPx9Tp07FmjVr4O7ujtjYWMTGxuL58+e6ugQiohIlJSUFGzduxLBhw/JsVfL8+XNUrlwZbm5u6NmzJy5evJjncTmgNxmUhARpPD8AqF8fKEoLKxMTaV8AuHULePZMbeGRYTLYFiiF5eLigtDQUDRr1gzJyclYtWoVOnTogOPHj6NJkyY57pOcnIzk5GTlOj8k9Njs2VKXEwAoU0YaNNbGRvk0u+0UTI6tUaZPB6KipNc3Pl5q2fP331I2ngiAr68vHj16hGnTpiE2NhYeHh4ICwtTDix7584dmGRJZq5YsQIpKSnop5jx6bXp06djxowZ2gydhED5pHj0GrwIromP4PT8CaZ3rCx13UtOBszNASsraQrIChUANzfp1zhn56LdiBKRVuzcuRPx8fEYMmRIrmVq1aqFNWvWoGHDhkhISMDChQvRunVrXLx4ERUV46C9gQN6k0G5kNnaZNMLW0wuwvcB98C9mPfSDh9kPWarVuqJjwySTAjDHxlSJpNhx44dyubjBdW+fXtUqlQJP/zwQ47Pz5gxI8cPCc51r2f27QPefVca5NTERFp/o5sJEyiFp9KdJzERaNkys4WPry+wZQu/QOkRTcxzr8/Udb3GVjdYprxCi7sX0fLOedSLu4F6cTdQ7mURfhwoV07q5tekCdC+PfDWW0yqEr2mD/Wxt7c3zMzM8OuvvxZ4n9TUVNSpUwcDBgzA7Fy6QOf046Kbm5vRfPaQgVm9WpoIAcB0r5FY37R7kQ4z9OQuTA9fKa2sWQO8bmFL+k8T9bHRtEDJSYsWLXD06NFcnw8KCkJAQIByXfEhQXrk5k1g4MDMGWLmzOEYHZpgawvs2AE0by41Xdy2TUqojB2r68iIKB/ln/+Hblf/Qpdrx9Dk3mWYp6cV/6BPngAHD0rLggVAqVLSL3J9+gDvvQe4uhb/HERUJLdv38bBgwexffv2Qu1XqlQpNG7cGNfz6KrLAb3JoGQZIPlm2QpFPszNsllaZGU5Jhkno06gREVFwcXFJdfn+SGh5168kG7W4+Ol9V69pIFOSTNq1QLWr88cVPaLL4CmTYF27XQbFxFlY5aWiq5Xj8L33AG0vHMeJsi5seljKztccqyKW/aueGDrgAc2DnhmboWXpuZIMS2Fn4c2leraxETg7l0gJkYaB+nMGeDhw8wDpaYCR45Iy7hxUr3w0UfA++8DnBaVSKvWrl0LR0dH+PgUbnat9PR0nD9/Ht26ddNQZERadu2a8mF0sRIoWfbNckwyTgabQHn+/LlKhjw6OhpRUVEoW7YsKlWqhKCgINy7dw8bNmwAACxZsgRVqlRBvXr18OrVK6xatQp//PEHfv/9d11dAhWXvz9w9qz0uGZN6cs9u5SoTY7jofTuLSWpQkKA9HTpy9GZM9J4CESkc07PHmPIqT14/9zvOXbNuWPnhKPujXHU3QOnKtRGnHW5vOvNTp1y3i4E8OABEBkptUI5cAC4cSPzuazJlGHDgM8/l8ZPISKNysjIwNq1a+Hn5wdTU9Xb/MGDB6NChQoIDg4GAMyaNQstW7ZE9erVER8fj6+++gq3b9/G8NddHogM3uvWIsnyUrhnWz6fwrm7Z1seyXJTqQUnW6AYPYNNoJw8eRIdO3ZUriu62vj5+WHdunV48OAB7ihGXYY0Gvn48eNx7949WFlZoWHDhjh48KDKMciArFkDrF0rPS5dGti+HbC1NbrxDLRFJZkydw5w8qT0pSk2FhgwQPryZGqw1QmRwav09AE+Of4L+l44mK2Lzk17V+yp3Q576rTDtfLu6jmhTCZ10+nbV1oA4NIlqXvftm2ZN5j//QcsXAgsXQoMHiwlYKtXV08MRJTNwYMHcefOHQwbNizbc28O6P306VOMGDECsbGxsLe3R9OmTXHs2DHUrVtXmyETaUZamjKxH23vCiEr+sycGSZy3C7jippP7kitMNPTAblcXZGSgSkRg8hqiz4MCkaQWp20bAm8eiWtb9oEfCCNjc0EiubdCvGRmu43bgzcvy9tDAoC5s3TbWBGztjqJw4iK3F89gRj/9qM988dgKnIUG5PMTHFb7XaYGPjrvinYr1it85TGVQ6P0IAx44BK1YAP/0EpKRkPmdiIg2+N3OmNKsPUQlkTPWxMV0rGZjr14EaNQAA+2q2xqe9JxXrcKE75qLLtUhp5cYNoGrV4kZIWqCJOqroqTgiXUhIAPr1y0yejBqlTJ6QFjk6Aj/+mJl9Dw4G9hr2F1EiQ2KV8hIBR35AxMqP8cHZ/crkSaKZFZa3fA+tP12LMT2+xD9u9bXftVEmA9q0ATZulMZMmTwZsLOTnsvIkGZFqFEDmDRJGpSaiIhI3dQ0/onyGPYcB4UkTKCQ4RBCmopMMfZN06bA4sW6jcmYtWkDzJ+fuf7hh0CWbnNEpAFCwPvqMRxcNQqfR26DVao0negzM0t83XYg2o5ag6/a++FxaXsdB/qao6M0O9rt28DcuZmJlJcvpcRr7dpSMpaNYYmISJ1UZuCpmEfBglEZSJbjoBg1DlpAhuPbb4Gff5YelykjNQ03Nzf4JvgGLSAAOHoU2LkTePoU8PWVBo4sVUrXkRGVOBUT4jD792/R8eYp5bYUE1NsatwVy1r3x39WdjqMLh92dlKLk5EjpUTK8uVS157796V6Y9UqIDSUTaKJiEg9VFqguBb7cEygkAJboJBhOH1a+rKusHYtUKWK7uIxYu6Be5ULZDJpQF93d+nJv/+WmusTkdrIRAYGndmH/atHqyRPDldpgs4fLcdMr5EaT56ovO+Lo1w5YNEiacDZrFOsHjgANGgALFsmdfMhIiIqjixJjhvqboHCLjxGjS1QSP8lJEjT5SoGIhw7Fu5/lwL+ZssTvWBvL8260bYtkJoKfPUV8NZbwLvv6joyIoPnmvgQC/cuQes755Tb7ts4YFanEQir2dpwp26vVg349Vdg925piuM7d4AXL6THP/8MrFvHJDkRERWdIslRrhwSLG2KfbinlrbSPe/Tp2yBYuTYAoX0mxDAxx8rpyFD8+aq426QTil/ld7+SEqcKPj5SYNHEukhtbWm0DCfy38ibM1nKsmTzY26oPNH3yKsVhvDTZ4oyGRAz57AxYvAp59mbj9yBPDwADZv1lloRERkwJ4/B+7dkx7XqqWeY8pkmce6exdISlLPccngMIFC+u3776UBBgFp3JNt2wAzM52GRLn4/HOgd2/p8X//AQMGAGlpuo2JyABZprzC/H1LsXz3fNgmSzdod23LY6DvHEzq4o/n5lY6jU/tCShra2lMlD/+yGx1kpgIDBwIDB4s3QgTEREV1L//Zj5WVwLlzWNlPQcZFSZQSH+dOweMGaNcHdnxU7h/d0nvfzU2WjKZND1p5crS+l9/AdOn6zYmIgNT9cld7PwhAL7nDyi37a7zFroNXYa/3D10F5g2dOwIREVJM3op/PCD1PLw0iWdhUVERAYmSxeb+TfVOK5WzZqZjzkOitFiAoX00/Pn0rgnydIUnfD3x/6arXUbE+XJPXAv3OcfQ+92nwGmr4dXCg4Gfv9dt4ERGQify39i94ZxqPVYmg48qZQFxncbh8+7f4lEC2sdR6cltrbAhg3Axo2Azes+61euSEmUTZt0GxsRERmGLMkNlcFfi+mTf7K0iOQ4KEZLIwkUIQRWrVqFTp06oU6dOujYsSOWLl2KV69e5brPl19+iWrVqmkiHDJE/v6ZFVPjxqrja5BeO1OhNua1ff0LshDSr8mxsboNikiPmWSkI+jQGizfPR/WKS8BAFcdKqGH32L80qCT4Y91UhQDBwKnTgENG0rrL14AgwYBY8eyayAREeUtS3Ljpr36EijRnImHoKEESv/+/TFy5EgcOnQIV69exeHDhxEQEIAGDRrgn3/+yXGfx48f49atW5oIhwzNDz8A69dLj62tpXFPLCx0GxMVysoWvXGoalNp5eFDKYnCqUmJsrF99Rxrf56JkSe2K7dtr9cRvT5chBvl3HQYWcFodEDeGjWkqdGHDs3ctnQp0KUL8OSJ+s9HREQlw+vkRgZkuG3vqrbD3irjggy8/lGDLVCMltoTKBs2bMBPP/0EGxsbzJs3D3v37sWyZctQq1Yt3LhxAx06dMCvv/6q7tNSSXHtGjBqlHL1846fwH31NY57YmCEzATjfQIAFxdpw8GDnD2J6A1Vn9zFrg3j0D76NAAg1USOqe98ggCfALw0Y9IYAGBpCaxZIw0oXqqUtC08nOOiEBFRzoRQJjfu2jkixbSU2g6dXMoc923LSytXr0rnIqOj9gTKmjVrIJfLER4ejsDAQHTt2hWjR4/GuXPnMGHCBLx69Qp9+/bFhg0b1H1qMnTJyYCvb+a0YEOHYnfdDjoNiYruPys7acwCRfeDqVOBY8d0GxSRnmh1+yx2/DAeVZ4+AAA8sbTFIN85+KHJu8bZZSc/I0YAhw4Bjo7SenQ00KoVcOBA3vsREZFxiYsDnj0DANwsW1Hth1eOqZKYKLWyJqOj9gTK2bNn0bp1azRt2lRlu6mpKUJCQrBp0ybI5XIMGzYMy5YtU/fpyZBNmCDNwADgetmKqFPGR7fxUPF17AhMmSI9Tk+XpjZ++lS3MRHp2HvnDmDDj9Ng93qK4svl3dHDbwmOV2qg48j0XJs2wMmT0rhYgHTz2rWr1DqFiIgIUBmbJLqs+rrvKKgMSstuPEZJ7QmUFy9eoEKF3Afr6d+/P/bu3QtLS0uMHTsWc+bMUXcIZIh27wb+9z8AQLK8FPx7TmQT9pJi2jSgXTvp8Z07wPDhbPJIxkkIjPtzE776bSlKZaQDAMKrNUe/gQtwz85Rx8EVn0bHQ1FwcwP+/BPo0UNaT08HRo4EgoJYrxARkUoC5YYmW6AAwL//qv34pP/UnkBxdHTE7du38yzz9ttv448//oC9vT2mT5+OCRMmqDsMMiQxMXjqO0i5OrvTCFxxrKLDgEhd3AP3wn3KfrSqPwxPLV5PSbp9OxAaqtvAiLTMND0NC35bijHHtii3rW3aHSP6TEGSuZUOIzNApUtL9UhAQOa2kBDAzw9ISdFdXEREpHtZWoVEq3EK4xyPyZl4jJKpug/YrFkz7Nu3D0+ePEG5cuVyLde8eXMcOXIEnTt3xtdffw0rK95AGqW0NGDgQNi/kvoqhtVshY0eXXUcFKnbA9vymNBtDFZuf93ibNw4qTm+YopSIg3T5UDUVikv8e3OEHSIPgVAmhVgdqfhWNusp85i0rSsr/etEA10x5TLga+/BqpVk6a9F0Kawe3BAym5YmOj/nMSEZH+03AXHiZQSO0tUN59912kpqZi1apV+ZatW7cujh49imrVqiFJMXAoGZfZs6Xm2ADu2pbHhK5jOIBiCXWgRkusbdpdWnlzwGCiEqrMy0Rs2jpFmTxJlpvCv+fEEp080apPPwV++SVzqvuDB6Wxlx490m1cRESkG6+TGq9MzfDAxkHth79v44BkeSmVc5FxUXsCpXv37hg4cCBiY2MLVN7d3R1//fUXevbsibfeekvd4ZA+O3RISqAASJOZYEz3L5FoYa3joEiTQjoMxUXHqtLKlSvY1qq3bgMi0iCXxEf4adNENH4gNSdONC+Nwe/Pxr7abXUcWQnTu7c0tbG9vbR+6hTQti2QT3diIiIqYdLSgBs3AADR9q4QMrV/1UWGiRy37F2klevXpbG4yKhoZAyUH374AYsXLy7wPuXLl8eOHTtw6NAhdYdD+urRI8T16Kcc9G9Ru0E4VbGujoMiTUs2NYN/z4lIKiX9Wux7/gCwebOOoyJSvyr/3cPPGyegxpMYAMDD0vZ4/4MQo5xpRyuDy7ZuLbVmVAxif+2atO3SJc2dk4iI9Mvt20BqKgApgaIpym48KSlM1hsh9afliPKTkQH4+cHp+X8AgKOVGyHUs6+OgyJtiS5bAVM6f5q5YeRIKYNPVELUeXgTP26aiArPpG4kt8q4oM+grzg4tqbVqwf89RdQs6a0fv8+8NZbUosUIiIq+VTGP1H/ALLKY9tzHBRjxgQKad/ixcBvvwEAHlmVwbh3v0CGiVzHQZE27aj/Nn6p/7a08vw5zrftgppf7NRpTETq0OTeZWzdHITyL+IBAJccq6DfoAW4W8ZZt4EZi8qVgaNHgaZNpfUnT4C331aOtUVERCXXzK93KB9rMoFyM8vgtDMW7sijJJVEWkugzJo1C7t371au79q1C7NmzdLW6UlP9Bq8CKkTJirXx/uMwyNrex1GRLoy9Z1RuFG2IgCgQdwNBEWs0XFERMXT6vZZ/LBtKuySpcGRT7nWRv8BwXhcmnWcgla685QvL42J0vb1WDOJiYC3N/D775o7JxER6VyV/+4rH9+012ALlCzJmSpP72nsPKSftJZAmTFjBnbu3Klc37lzJ2bOnKmt05M+ePoU3+yaj1IZ0mBL37bshyNVm+o4KNKVF2aW8O85QTmS+dBTv+LjPlM0/+WKSAM63DiJtT/PROnUVwCkrokf+s7mwNi6YmcH7N8PdOkirb98CXTvDvz6q27jIiIijanyX2YyQxNTGCuPnSU5kzVpQ8bBYLvwHDlyBN27d4erqytkMplKciY3ERERaNKkCczNzVG9enWsW7dO43HS618cJ+7Bby3fRcXEhwCAkxXqYFHbQTqOjHTtsmNVzOo0Qrn+1b4lqJDwUIcRERWe97Vj+H77HFikpQAADlRvgY/6TccLM0sdR2bkrKyAXbuAPn2k9ZQU6fFPP+k2LiINmTFjBmQymcpSu3btPPf56aefULt2bVhYWKBBgwbYt2+flqIlUj9Fa5B4C2s8tbTV2HmeWNkh0bw0AKDqf2yBYmwMNoGSlJSERo0aYfny5QUqHx0dDR8fH3Ts2BFRUVEYO3Yshg8fjv3792s4UgKAwaf3oOu1YwCkSu3zHl8iTW6q46hIH2zy6Iq9tdoAAOySk6RWSumpOo6KqGDevXwEy3eGwCwjDQCwp1ZbfNorCMmmZjqOTP9ppTuPmRmwbRvwwQfSeloa0L8/sHGj5s5JpEP16tXDgwcPlMvRo0dzLXvs2DEMGDAAH330Ec6cOYNevXqhV69euHDhghYjJlKTly9RMVEavD3avgIgk2nuXDKZchwU18RHUitHMhoG+w22a9eu6Nq1a4HLh4aGokqVKvj6668BAHXq1MHRo0exePFieHt7aypMo5X1hrjBg38x+dBq5foX3cbhvq2jLsIifSSTIbDr52gQex2VEuLQ+MFVfHl4A4Beuo6MKE+9Lh7C13sXQy4yAAC/1OuICd3GIp2DYusXU1NgwwbAwgJYs0aaCW7wYCmZMmSIrqMjUitTU1M4Oxds0OqlS5eiS5cu+PLLLwEAs2fPxoEDB/DNN98gNDRUk2ESqV+WGR1varD7jkK0fQV4PPgXJhDAjRtA/foaPyfpB4NtgVJYkZGR8PLyUtnm7e2NyMjIXPdJTk5GYmKiykKFY/vqOZbvCoF5uvTr7MrmvXCwhqeOoyJ988y8NEb3DESKiZTT/fifHRjedxrHQyG91e/8QSzas0iZPNnSsDO+8BnH5Im+ksuBlSuBUaOkdSGAoUOB77/XbVxEavbvv//C1dUVVatWxcCBA3Hnzp1cy/LemEoULU1hnOM5OJWxUTGaBEpsbCycnJxUtjk5OSExMREvc2l2FRwcDDs7O+Xi5uamjVBLDiEQ8tv/UCkhDgBwxqUWFrT303FQpK/Ou9TA3Lc/Uq4v3LeY46GQXvI9ux8L9y2RfnUC8EPjbpjUxR9CZjQfqYbJxARYvhz4/PPMbSNHAt9+q7uYiNTI09MT69atQ1hYGFasWIHo6Gi0a9cOz549y7F8bvfGsbGxuZ6D98akt65eVT6M1uAMPJnnyNLKhQkUo8K7vTwEBQUhISFBucTExOg6JIMy9NRudMsy7ol/z4lIfT3jClFO1jd5F/tqtgYAlHndeonjoZA++SDqN8wPW6ZcX9u0O6a+M4rJk2LSyngogNQnfskS4IsvMreNHg18841mz0ukBV27dsV7772Hhg0bwtvbG/v27UN8fDx+/PFHtZ2D98akt7TcAuUmW6AYLYMdA6WwnJ2dERcXp7ItLi4Otra2sLTMeaYEc3NzmJubayO8EiHrjW/je1cw6dAa5foX3cbhnh3HPaF8yGSY2G0M6j28icrxsfB4cA2TDq2Be2Bm4u1WiI8OAyRDo84v5INO78WcAyuU69837415HYdpdqA6Uj+ZDFiwQBobJSRE2vbZZ0B6OjBmjG5jI1KjMmXKoGbNmrieZWyIrHK7N85rDBXeG5PeypLEuGXvovHT3WILFKNlND+ZtWrVCuHh4SrbDhw4gFatWukoopKrzMtEaSaVjHQAQGiLPhz3hArsmXlpfNozEMmvWysNPfUrul3JfRYBIm3wO/WrSvIk1LMvkycaopXWKDIZMG8eMHly5raxY4HFizV3TiIte/78OW7cuAEXl5y/TPLemEqU10mMB9bl8MIs5x/H1SnJ3Apx1mVVzk3GwWATKM+fP0dUVBSioqIASNMUR0VFKQfLCgoKwuDBg5XlP/nkE9y8eRMTJkzAlStX8O233+LHH3/EuHHjdBF+iSUTGVi852tUeCZNI3aiYl0sfGtwPnsRqbroXB0zvT5Wri/4bSmqPrmrw4jImA05uRszD36nXP+2ZT+EtB/C5Imhk8mA2bOB6dMztwUEAK9n6yMyNF988QUOHz6MW7du4dixY+jduzfkcjkGDBgAABg8eDCCgoKU5ceMGYOwsDB8/fXXuHLlCmbMmIGTJ0/C399fV5dAVDRPnkgLtNN9R0E5DsqjR8DTp1o7L+mWwXbhOXnyJDp27KhcDwgIAAD4+flh3bp1ePDggcrI41WqVMHevXsxbtw4LF26FBUrVsSqVas4hXExvfkL4WfHtqHjzVMAgMdWdvisxwSkyQ32z4x0aHOjLmgecxG9L0XAOuUlvt0ZjN4ffq3yN8fuPKRpQ0/uwvTwlcr1Za188XW7QUyeaInG3+8yGTBjRua/gDQ+ihCq46QQGYC7d+9iwIABePLkCcqXL4+2bdvi77//Rvny5QEAd+7cgYlJ5m+nrVu3xubNmzFlyhRMmjQJNWrUwM6dO1Gf07GSoVEZ/0TzUxgr3CxbES1jLkgrV68CLVtq7dykOwb7zbZDhw4QQuT6/Lp163Lc58yZMxqMyri1v3kKY49uBgBkQIYx3b9EnI2DjqMigyWTYZK3P+rF3UTNJ3dQ+/FtBO9fhrHvfsEvr6QVH/2zE1P/WKVcX9q6Pxa3Hci/v5Jo+nRplp5p06T1L78EMjKACRN0GxdRIWzdujXP5yMiIrJte++99/Dee+9pKCIiLbl0SfnwejntzQx1o1zFzJXLl5lAMRJa68Lj5+eHtm3bKtfbtm2r0sWGDFvFhDgs+XWhclrPhW99iL/cPXQbFBm8l2YWGNU7CM9f92XtdekwBp/eo3xeazN3kNH56MQOleTJkjYDsJgtT0q2qVOBuXMz1ydOzBxkloiI9JJ74F58/13mfeC/5Spp7dz/ZknWhIbu4f2okdBaC5S1a9eqrH/00Uf46KOPtHV6UqM3KwfztBR8uzMY9q+eAQAOVG+BFS376SI0KoFulHPDl13HYMUu6YvM1D9W4YJTdZyuWEfHkVFJNfzEdkzJMovY4jYfYGnbD3QYEQFa6M4DAJMmSUmySZOk9aAgqTtPlnEjiIhIv9R4kjlsw78O2muB8q9DZrKmxhNO6W0sDHYQWdITQmDO/m/RMFaaIu9WGReM9wmAkPFPi9Tnt9pt8X3z3gCAUhnpWLErGOWf/6fjqKgkGnn8Z5XkyaK2A5k8MTZBQUBwcOb6pEnAnDm6i4eIiPJU47GUvEg0s0KcdTmtnfeBjYOylXSNx3fyKU0lhdZaoLx48QInT57EgwcPkJycnGs5duvRT7k1SRt0Zh/eu3AQAPDS1Byjegch0cJam6GRkZjfYQgaxv6LljEX4PT8P6zYGYwBA+Yh9fV0x0TF9Wnkj5hwZINyfWG7QfimdX8dRkS50XhrlMBAaUyUiROl9alTgfR01Rl7iIhI56xSXqJi4kMAwHUHN+12tZXJcL2cGzweXEPFhIewTHmlvXOTzmglgTJt2jQsXrwYL168yLWMEAIymYwJFAPS7O5FTA//Xrk+oevnuOxYVYcRUUmWbiLH6J6B2L1+HCo8e4Rm9y5jWvhKTO38KYDck3ycqUc7li9fjq+++gqxsbFo1KgRli1bhhYtWuRY9uLFi5g2bRpOnTqF27dvY/HixRg7dqx2A37D6GPb8OWfPyjXF7w1GN+2el+HEZHOTZggJVG+/FJanzFDGlhWMWsPERHpXLUnd5WPtTn+SdZzejy4BhMIVP3vbv47kMHTeAJlwYIFmDNnDuRyOXx8fFCzZk3Y2Nho+rSkBnkNhOSc+BgrdgajVEY6AOC7Fn3wa9322gqNjNST0mXwSe9J+HnTBJinp+LDM/twwakatjXidOS6tG3bNgQEBCA0NBSenp5YsmQJvL29cfXqVTg6OmYr/+LFC1StWhXvvfcexo0bp4OIVY05uhnj/tqsXJ/f3g8rWnJWCoI0lbGJCTB+vLQ+a5bUEmX2bCZRiIj0gK7GP8npnBwHxThoPIGycuVKWFpa4s8//0STJk00fTrSAvPUZHy/Yw7KJ8UDAI5WboQF7f10GxQZjfMuNTDZezQW7lsCAJj9+wpcL+eGUxXr6jYwI7Zo0SKMGDECQ4cOBQCEhoZi7969WLNmDQIDA7OVb968OZo3bw4AOT6vNUJg3NFNGHMsc+rP4A5D8J0nB8E2JBrvzhMQICVRFMm+uXOBtDRpnBQmUYiIdEox/gkAXNdFC5SsA8lyHBSjoPGRPmNiYtC+fXsmT0oKIbDgt/8pB429Y+eEz3pMQLqJXMeBkTH5uYEX1jbtDgAwy0hD6I55cH3d/5W0KyUlBadOnYKXl5dym4mJCby8vBAZGam28yQnJyMxMVFlKRYhMOHIepXkyey3hzN5QjkbOxZYtixzff58qXWKEDoLiYiIgOoqLVB00YWHLVCMjcYTKM7OzihdurSmT0Na8snxX9Dz8mEAwHMzSwzvOxVPrex0HBUZozlvD8eflT0AAOVfxOP77XNhkZp98C73wL3KhdTv8ePHSE9Ph5OTk8p2JycnxMbGqu08wcHBsLOzUy5ubsVopisEpvyxCp/+/bNy03SvkVjdvFfxA6WSy98fWLEic33RIuCzz6RxUYiISCcULVCSSlngvq2D1s9/z84RL03NAQDV2QLFKGg8gdK/f39EREQgKSlJ06ciNcjry2bna5GYcHi9cn3cu+Nxrby7FqMjypRuIod/z4m4VcYFAFA/7gYW7VkEmeCXmZIoKCgICQkJyiUmpmi/8shEBmYdCMXwk7uU26Z0/hTrX7doIsOm8YTpJ58AK1dmdt1ZvhwYOZJJFCIiXXj5EpXipR9rrpdzg5Bp/KttNkJmguvlKgIAKsfHAq84E09Jp/G/shkzZqBOnTro0aMHrl+/runTkYbUi7uBJXsWwgRSc+Wv2w7EgRotdRwVGbsESxsM7zsVz8wsAQDdrh3D+D836jgq4+Lg4AC5XI64uDiV7XFxcXB2dlbbeczNzWFra6uyFJZJRjqCw77B4DPSl+sMyDChy+fY2Lib2uIkIzB8OLBunTQuCgCsWgUMHSqNi0JERNpz9aryu8l1HQwgq6DoOiQXGcC1azqLg7RD44PIduvWDRkZGYiIiECdOnVQuXJlVKxYESYm2XM3MpkM4eHhmg6JCsnp2WOs+nkWrFKTAQA767bHstb9dRwVkeS6QyV81mMiVv8yC3KRAf/IHxFtXwG/NOik69CMgpmZGZo2bYrw8HD06tULAJCRkYHw8HD4+/vrJKacWh+Ypqdh4b7F6HVJ6oKYLjPBeJ9x2Fmvo7bDIy3R6OCygwcD5ubAwIHSrDwbNgAvXwIbNwJmZuo9FxER5ezSJeVDXUxhrHA9yzgouHQJaNhQZ7GQ5mk8gRIREaF8nJ6ejps3b+LmzZs5lpVxNHudyKups2XKK6zcPgcuz58AAE651sbErmM48wDplYhqzTCr0wjMPPgdACA4bBnu2jnieKUGKuU0PluHkQoICICfnx+aNWuGFi1aYMmSJUhKSlLOyjN48GBUqFABwcHBAKSBZy+9vulJSUnBvXv3EBUVBWtra1SvXl3t8ZmlpeJ/vy5Al2vSoLapJnKM6f4l9tVuq/ZzkRHx9ZWSJb6+QGoq8NNPUhLlp58ACwtdR0dEVPJlTaDoQQsUACoxUcmk8QRKdHS0pk9BGiLPSMey3fOVM+7E2Dnh4z5TkGzKX9dI/6xv8i6qPbmLwWf2wiwjDd9vn4M+gxbihg4/UI2Fr68vHj16hGnTpiE2NhYeHh4ICwtTDix7584dlVaH9+/fR+PGjZXrCxcuxMKFC9G+fXuVpLs6WKS+wnc75qF99GkAQLLcFJ/2CkJ4dU+1noeMVO/ewK5dQJ8+Ur/3PXuAd98Fdu4ErK11HR0RUcmmJy1Q/n2zBQqVaDIhOAdfQSUmJsLOzg4JCQlF6n+vT/IdYE8IzPn9WwyK+g0AkGheGn0HLsC/5StrITqiopFnpGPVL7PQ8eYpAMBdW0f0/vBrPLK2z3O/ktAapSTVTwWR1/Uq6jeb5CSs/nkmWtyVbmZelDLHiD5T8Ze7h7bDJT2ikfd7RISUOFEMmN+yJbB3L1C2rPrPRXrPmOpjY7pW0h+Kz/nwlZ+g2n938crUDHXH/YQME7lO4pFnpOPSon4wT0/Fv+Xc8M5waca2knB/aeg0UUdpf6hiMgifHP9FmTxJMTHFyN6TmTwhvZduIod/j4m44FQNAFAx8SHW/DwDVikvdRwZaVu5pHhs2TJJmTxJNLPC4PdnMXlCmtGhA3DwIFCmjLT+99/SNjVO5U1ERJnM0lJR+el9AMCNshV1ljwBpPvPm2UrAADcn95HqfRUncVCmscECmXT93w4Ag+vU65/2W0MIitzMCQyDEnmVhjWdxru2pYHADSIu4EVO4Pz/DDT+NSnpFUVEh7ix80TUT/uBgDgiaUtBgyYh5MV6+k4MtIHGnu/t2wJHD4MvO66hvPngbZtgVzGfSMioqKr+t9dmAppCnmVQVx1RDEOSqmMdFT5756OoyFNYgLFiBTkpvHt6ycw/7elyvUFbw3GLs5SQQbmoU05DO03AwnmpQEA7aNPY+HeJZC9/qClEuziRfy88UtUe33zct/GAe8PnI+LzuofnJYom4YNgT//BCq97ot/4wbQpg1w7pxu4yIiKmEUP5IAwCWnKjqMRHLZMTOGrLFRycMECik1uXsZy3fNV2Zz1zV5F9+2fE/HUREVzb/lK+OjftPw6vWgxz0vH8bU8FUAh30quSIjgXbtlLOG3ShbAe8NXIAbevDLFBmRGjWAv/4C6tSR1mNjgbfeAo4e1W1cREQlSP3Xk1wAwHkn3f9IkjWGBllio5KHCZQSrqBNles8vIm1P8+AZVoyAODX2u0w0+tjTldMBu1kxXrw7zERaTKpqht2ajc+O7ZVx1GRRuzeDXTqBDx9CgA461wD7w1cgHt2jjoOjPSZxrrzVKwotUTxfD3bU0IC8M47wI4d6j0PEZGRytrK4+Lrse906YJzZgz12AKlRGMChVD1yV38sG0q7JKl2QP+rOyB8T4BEDL+eZDhO1jDE0Fd/JXr449uwrB/duVanuOhGKCVK6XpZF9KgwUfrdwIH/Sfi/+s7HQcGBkStb/3y5WTBpb19pbWX70C+vYFvv1WPccnIjJSJhnpqPtQGl/qjp0TEixtdBwREG9pi7u20o829eJuwiQjXccRkabwG7KRq5gQh43bpsDhRQIA4LRrLYzsMxkppqV0HBmR+vzUsDPmdBymXJ/2x0r4nt2vw4hIbebOBT7+GMh4Pb7NgAEY+t4MJJlb6TYuIgCwtpZaR334obQuBDB6NBAUlPk3S0REhVLtyV1YpUqt5s/r0RhnilhKp75Clf/u6zga0hQmUIyYS+IjbNo6Ga7PHgMALjpWxZD3ZuKFmaWOIyNSv1Ut+mBJmwHK9eCwb9Dr4iEdRkRqsWBB5uPx44GNG5EqZwKYiketrVHMzID166WkiUJICDBwoNQqhYiICqVBXOYYIxf0MIECqMZIJYuprgMgzcjvps858TG2bJmEyvGxAIDrZSti8PuzkGhhrY3wiHRiSZsPYJXyCh//swMmEPh672IIgDNNGTqZDFi0CBg7VteREOVMJgPmzQMqVAA+/1xqfbJ1K3D3LrBzp9Tdh4iICqR+bOYYI/owgKzChSxjsdTnQLIllkG3QFm+fDnc3d1hYWEBT09PnDhxItey69atg0wmU1ksLCy0GK3+cHr2GFu2BsE9/gEA4Ka9Kwb2n4MnpcvoNjAiTZPJMK/jMKxv4gMAkIsMLNq7GD0uReRYnOOhGAALC+CXX5g8IY1Raz0werSUMLF63cXs6FFpoNkrV4p/bDJ6wcHBaN68OWxsbODo6IhevXrh6tWree7D+2MyRPVVWqDofgBZhQsqLVA4kGxJZbAJlG3btiEgIADTp0/H6dOn0ahRI3h7e+Phw4e57mNra4sHDx4ol9u3b2sxYv3gmvgQW7cEocpTKXkSbe+CAQPmIc7GQceREWmJTIbpXp/gh8bdAEhJlMV7FqH3hT/y3I3JFD21d680gCyRFqilHujeHThyBHB2ltZv3ABatgQOHFBPkGS0Dh8+jNGjR+Pvv//GgQMHkJqais6dOyMpKSnP/Xh/TAYlPR314qQBZO/aOiLe0lbHAWX6z8oO92zKAwDqxt3gWFcllMF24Vm0aBFGjBiBoUOHAgBCQ0Oxd+9erFmzBoGBgTnuI5PJ4Ky4YSmB8ruhq/z0PjZtnYyKiY8AALfKuGBA/2AmT8j4yGSY9s4nkAmBQVG/QS4y8PXexbBIS8EWjy66jo4Ko1kzXUdAVHhNmwLHjwM9egBnz0rTHHftCixeDPj7S11+iAopLCxMZX3dunVwdHTE/9m77/CmqjeA49/uAR1AaWmhUPbeo7JVUJYMURkiIIqDoWAVZIMCFgUVRQRBBQdLZIr8QCwWZMsoexcoq4UyOqEr9/fHbdMWWqAlyc14P8+Tx9ybm+Q9tpyevDnnPfv27aNVq1b5Ps/ax8fCypw6RZE0tX6UORWQzXKkVEVKJ1zHI/UOnD4NVatqHZIwMIucgZKamsq+ffto27at/py9vT1t27Zl586d+T4vMTGRcuXKERgYSNeuXTl69OgD3yclJYX4+PhcN0tVKTaK3xaP0idPzhYvTa/eoUR7SvJE2CbFzp7xzw5iYYPnALBHIXTjN7z+32ptAxNC2IayZdUlPF26qMcZGWp9lIEDISVF29iEVYiLU3dYLF68+AOvK8j42JrGxsJC7d+vv2uOCZRcMeWIVVgPi5yBEhsbS0ZGBn5+frnO+/n5cSKfdcRVq1blxx9/pE6dOsTFxTFjxgyaNWvG0aNHKVOmTJ7PCQ0N5aOPPjJ4/Ib0KNOI6105yY+/f0TxO+ofueMlg+jbczKxRYoZOzwhzJpiZ8+ktm9xx8mVQbt/B2D85u/xupPAFy1fyfdb4Jz/7s5P62SSWIUQ5sUg/UDRorByJYwdC59+qp778Uc4dkyt7RMQYIBIhS3S6XQMHz6c5s2bU6tWrXyvK+j42BLGxsI6ZfW548KWMzDzXM6irebiSI6itvO+XM4nB9UlRjJetB4WOQOlMJo2bUq/fv2oV68erVu3ZuXKlZQsWZLvvvsu3+eMHj2auLg4/e3ixYsmjNgwWkfuY/HSMfrkyaFSlejd+xNJngiRxc6OT1v35/MWffSn3t25jE82zsZel6FhYEIIS/FYtVEcHNRtjRcvBjc39dyuXdCgAWzZYthAhc0YMmQIR44cYenSpQ+8rqDjY2sYGwvLlrM4qzltYZwlZ1Fb2crYOlnkDBQfHx8cHByIiYnJdT4mJuaR13A6OTlRv359zpzJ/xfbxcUFFxeXx4pVS92O/sP09TNxyvwQuKNsHd7sPo5EF3eNIxPCzNjZMat5b+Jdi/LR3+qg8eWDGyh+J45hz31AipPl9gO2Qor7CovXuzdUqwbdukFUFMTEQJs2anLl/felLop4ZEOHDmXdunVs3bo131nW+XnY+NjSx8bCstkpOrU4K3DZoyQ33b00juh+sUWKcbVoCfwTb1Az+ix2ig7FzmbmLNgEi/xpOjs707BhQ8LCwvTndDodYWFhNG3a9JFeIyMjg8OHD+Pv72+sMI3mod90KQrvbl/CzHWf65Mn66s0Y8BLkyR5IsQD/NSwM+92HkGqvZpbbn9qJ0uXjKFE0u18nyO78wghcnqsPqF+fdi3D555Rj3OyIARI9Skys2bBo1TWB9FURg6dCirVq1i8+bNlC9fvsCvYcnjY2H9KsVeVIuzYl7bF98ra2aMZ2oyFW5c1jgaYWgWmUABCAkJYf78+fz0008cP36cQYMGkZSUpN+Vp1+/fowePVp//ccff8xff/1FZGQk+/fv55VXXuHChQsMHDgwv7ewSE4ZaXy+/ktCti3Sn/ulfkeGdv2QFEdnDSMTwjKsrdGa11+cQKKzOpW+/tWTrP7lfSrGyjRlIUTBFCqR4uMD//sfjBuXfW7tWjW58oBC+UIMGTKEX3/9lcWLF+Ph4UF0dDTR0dHcuXNHf42tjo+FdWgWdUh/f0+ZmhpG8mA5Y2sWdVDDSIQxWGwCpWfPnsyYMYMJEyZQr149IiIi2LBhg76wbFRUFFevXtVff+vWLd544w2qV69Ox44diY+PZ8eOHdSoUUOrJhhciaTb/Lp0HC8c2aw/N/XJ1xj/zCB09g4aRiaEZfm3fANe6vMpV4uWACAwLoZVv35A68h9GkcmhLAJDg4weTKsWwcl1H6IqCho1QpCQ9WZKULcY86cOcTFxfHkk0/i7++vvy1btkx/jS2Oj4X1aH4hOxmxI6iuhpE8WM7YcsYsrIOdoiiK1kFYivj4eLy8vIiLi8PT09Ok7/2wb7Bqxpxl3ooplE5Qtym+6+jM8OfeZ0PV5qYITwir5JcQy4+/f0zNa5EAZNjZ82nr/sxr0v2h9QhMXW1dy/5JC/e2V5ZQCUv0SP3EpUtqfZRt27LPtWoFv/yiboUszI4t9ce21FahrYoj13Lg65fxTEnihpsnjd751Wxri9gpOvZ/3YdidxOIcylC/XcXE/lZF63DsknG6KPM87dOFEiXY+H8/utIffIkpmhxevYOleSJEI8pxsOHl/p8ysbKTwDgoOgYE76Ametm4JZ6V+PohBA2oUwZ+OcfdavjrMTt1q1Qpw78+ivI92BCCBtQK/oMnilJAOwsW8dskycAip09O8vWBsArJYmaMZEaRyQMyXx/88RDC9E5p6cx+a9v+fqPGbilpwCwP6Aqnft9ycGAqqYMVQirlezsxtvPj2Fm8976c92ObWH1LyFSF0UIYRqOjjBlCoSHZ886iYuDvn3hhRfg2jVNwxNCCGOzlOU7WXYE1dPfl2U81kUSKBaqzO1oli8aSd8D6/XnltV+hl69p3HNo4SGkQlhfRQ7e2a26MNbz4/RF5etGhvF2p/fo8uxLXk+R3bnEUI8TIH7iVat4OBBePnl7HOrVkHNmrBkicxGEUJYrWY5khDby5l/AiVnjM0kgWJVJIFigboe/Yf1C96lbvRpQK13MqLDu3zYcRipjk4aRyeE9dpYpRld+n3JCZ9yABRJu8vXf0xnxp9fUiQlWePohBCW7JGTKd7esGgR/P67umMPQGysmlTp3FktNiuEENbk7l0aXT4OwCXPklzwNv9tts8VC+CKh9pHN750DFJSNI5IGIokUMzMgwZQHilJfPnHDL5a9zmeqeqHtfPe/nR/ZQbL6zxr6lCFsEmRJcrQrd/n/F6rjf7ci0fC+HPhMOpdOZnnc2Q2ihCiIB6pz3jhBTh6VP1vlj//VGejfPklpKcbP1AhhDCFHTtwTU9V75ar+9BC/mbBzk6NFdRSC7INvdWQBIqFaBW5j40/DOH5Y+H6cytqPsVzr37FMb8K2gUmhA266+TKBx2H816nEBIyl/QE3b7Kil9HMHLLQpzT0zSOUAhhE3x91ZkoK1eCf+Y3somJEBICDRrk3rlHCCEsVViY/q4lLN/JkivWHG0Qlk0SKGbOIyWJ0P99zc/LJxKQEAtAvLM773YewfvPvU+ii7vGEQpho+zsWFXraToOmMX+zKLNDoqOwbt+54+fhlHn6imNAxRCWINHmo3y/PNw7Bi8/Xb2N7OHD0PLltCnD1yUgtdCCAuWI/mws2wdDQMpmB3lcsQqCRSrYacoUnHsURlrr/s8B0WKQseT25kYNg+/xJv60/+Wq8eoDu9y2cvXYO8vhHg8jhnpvL37d97dvhRnnTptPsPOnp8bdOLzln3zTXSen9bJYDEYq38yV/e2V5ZHCVuWqy/ZswcGDYL9+7PPubnByJHwwQdQtKjpA7QxttQf21JbhekFjfoTrzsJ7JvVB0dFx+kSgTwzcI7WYRVI2Py3qXjzEul29jR4dzHxrkUNOv4TD2aMPkpmoJihsreusuD3SXy7Zpo+eZLo7MaYdkPo23OyJE+EMDPpDo5806wXXfp/yRG/ioA6G2XAvj/4+/u36XBim+yOIYQwjSZN1CTK7NlQInNXvjt34KOPoFIlmDMH0mSZoRDCMnQ+vhVHRQdAeIWGGkdTcP9kxuyo6Oh8fKvG0QhDkASKGSmSksyH4QvZ9MMgnorcpz+/qVIT2r02m8X1OlhG0SQhbNQJ3/J06/s5oU++yh1HFwBKJd5kzpppLFk6hurXIjWOUAhhje5b5uPgAIMHw+nTMGwYODqq52Ni1PM1asCvv0JGhnZBCyHEI3jxSPbSl5W1ntYwksJZlSPmF47IMh5r4Kh1ALYq53Rzx4x0Xjr8N+9tW4Rv0i39+atFSzDpmbfYWLmpJE6EsBDpDo58F/wif1Ztwceb5vJ05F4AmkYdZt3C4fxWuy0zW7xMjIdPrn5ApnMKIQzhvuVsrs9QfkAN/rm1SS04C3DmDPTtC1OnwoQJ0KOHmnQRQggzUvHGRepl1pQ75lue476Wt3HGUd8KHC8ZRPXr52lw5SQVblzSOiTxmGQGipYUhQ4ntrHxxyGEbvxGnzxJcXDkm6Y9aPPGXDZWaSbJEyEs0CXvUrz24kQGdh/PeW91dwwHRUfvQ3+xZd6bfBi+EM+7iRpHKYSwBeeKlyao4qt06/s5O3IWYDxxAl5+GapWhXnzICVFuyCFEOIeOWdsrKjVRsNIHoOdHb/niL370c0aBiMMQYrIFsDjFqHJ+lbITtHR7tRO3t2xlBrXzuW6ZkOVpkx96nUuepcySMxCCO05p6fx2t41DNm5DI/UO/rz8c7uLGzYmR8ad+PgV70e6z1srZCfFJEVovCeiDrEe9sWE3zxSO4H/P1hyBB46y3w8dEmOCtgS/2xLbVVmFhGBle9/fBPvEG6nT1PDPmJ2CLFtI6qUHySbrFrdn8cFR2XPUpS+nY02Ms8BlOQIrIWzikjjeePbOZ/P77D3NWhuZInuwNr0f2V6bz9/FhJnghhZVIdnZj7xIu0eut7vm/UlRQHdfWkZ2oy7+5cxva5rzH3iRcJHvKTJAKEEEa3q2wdevYOpXevqfxbrl72A1evwrhxEBgIb74JERFahSiEsHWbN+OfeANQi8daavIEILZIMbZkFpMtnXAd/vlH44jE45AEiincvAnTp7N17kC+/PMLqsVe0D8U4V+FV1+cSM/eoewvXV3DIIUQxnbL3Yspbd7g6Tfmsbhue1Lt1URK0dQ7vL17Bf/OHciMP7+UDy1CCOOzs2Nnubr07TWFLv2+YH2VZmTYZQ4L796F+fOhfn32l64GP/0ESUnaxiuEsC0//aS/a7HLd3LI1YYcbROWRxIoxrR/P8vqPMsdvwAYOVKfRQXYF1CN/i99RLe+nxNesbHUORHChlz28mVM+6E89eY8fq3XQT8jxVmXrlabr1+fvWVqwOLFUpNACGF0h/yrMPj5MbR+cx4/NOpKgrOb/rEGV07Cq6+SULwkS+q2g+3bQafTMFohhNW7ehVWrgTgtmtRwioFaxzQ4wur1IQ4lyLqwe+/Q3S0tgGJQpMaKAXwSGuobt5UP/T8+CMcOJDrIR12/F05mHlNnmdv6RqSNBFCAFAy8Rb99q+j74E/8b63sGzx4vDKK/Daa1C3br6vYWvr0LPaGzj8N+xd3LUORwirUiQlmW7HwnnlwHqqXz9/3+OXPH1ZW6MVf1RvxfGS5cHOTnYSy8GW+mNbaqswoddegwULAPihUVcmt3lD44AMY8Lf83ht31r14PXX4fvvtQ3IBhijj5IESgHk+wNISoI//oAlS+B//4O0tNzPc3ZnRe02/FK/E5Elypg4aiGEpXBPvUP3o//Qd/86qsZG3X9BrVrqjhm9ekH58rkesrVBrCRQhDABRaHBlRO8dGgTz534N1cR7CznivmzoUpzNlZpykH/yih29jafTLGl/tiW2ipMZN8+aNwYFIU4lyI8+eY8brl7aR2VQRRPjiN83pt4piSpX6Tv2wf162sdllWTBIrGcv0AdDpYtw5WrYINGyA5+b7rI/yrsKzOs6yp0ZrkHNNhhRDigRSF4ItH6HVwIx1O7cA1PfX+axo2hOefV2/VqxOfkGBTg1hJoAhhWm6pd2l/agddj22hxfkDOCr3L+O5XsSbzRUa80/FRuwoV5d416L5vp41J1lsKalgS20VJqAo0Lo1/PsvAJOfHsgPjbtpG5OBDdyzknH//KgetG6tFpSVVQlGIwkUjel/AE2b4rlnD2Rk3H+Rvz/zywSzvHZbTpUMMnmMQgjr4nk3kS7HtzIl4QDs3Jn3ReXLE9+2LV7z59vMIFYSKEJoxyfpFh1Obqfjye00uXgUhzySKRl29kT4V2F7ubrsLFeH/QHVSHFyyfP1rC2ZYktJBVtqqzCB33+Hl15S71euTOWun5Hm4KRtTAbmlJHG6dUj4MwZ9cSKFdC9u7ZBWTFJoGhM/wMAcv3vL1kSunWD3r2hVSuCxm7QJkAhhNU6P60TnDsHS5fC8uX31ViKB7zAZgaxkkARwjyUSLpN2zO7aXP2P1qcP4B7Wt6Fr1McHDlUqgr7SldjX5kaRPhX5XrRR9uW1NISLLaUVLCltgoju3QJmjZV/wuwZg1BOxy0jclIzj+Rps4gBnXb+J07oXRpbYOyUpJA0ViuBEqVKtCpk/rL36yZJE2EECZzflonOH8eVq9W6y/9+y/xaWmSQBFCaMolLYUnLh6h1bn9tDx3gCo38qjllMNlj5Ic8q/M4VKVOOZbnqN+FblepNgjT2c318SKLSUVbKmtwohiY6FVKzh+HIB/y9Wjb8/J1ru0RVFYtGwszS8cUo9r1ICtW6FECW3jskKSQNGY/gdw4ACe9erleixo1J/aBCWEsDn3fWhISCD+jz/w6tPHZgaxkkARwvz5JcTyRNRh9XbxMOVvXX3oc264eXKqZDlO+pTjTIlAzpYoQ2Tx0sQULfHYH6ZMlXCxpaSCLbVVGEl8PDz9tFpQFTjv7c9LfT7letHiGgdmXCUTb/L7opGUu525nXGjRhAWBvLvyKCM0Uc5GuRVNDJ79mymT59OdHQ0devWZdasWTRp0iTf65cvX8748eM5f/48lStX5tNPP6Vjx44Ff+MKFR4jaiGEMDAPD3juOU1D0Kw/FkKYrRgPH9bUfIo1NZ8C1NopDS8fp8HlE9S9eopaMWcpes/OPiXuxNM06jBNow7nOp/s5MIFb3+ivEtx0cuPS5m3K54luepRgltung9NsDzKl13mOqvlUUlfLCzK7t3w1ltw8KB6HBDAK10mW33yBOB60eL06TmFbWvHw9WrsHevWlT2u+/gAf9mhfYsNoGybNkyQkJCmDt3LsHBwcycOZN27dpx8uRJfH1977t+x44d9O7dm9DQUJ577jkWL15Mt27d2L9/P7Vq1SpUDDLrRAihhZx9jzkM9s2hPxZCmL/YIsXYWKUZG6s0A8Bel0GFm5epGXOWGtfOUSMmkqqxF/BNunXfc93TUqh+/TzVr5/P87XvOLpwrWgxYooW51rRElwv4k2suzexRby55ebJDXcvbrl5csvNg3jXomTY511bwRBjO13K/TszmoL0xcJiXLkCH30E8+erO++Aunxl0yYu/XxO29hM6JJ3Kdi0SV2+dPMmRETAE0/AG2/AxIkQEKB1iCIPFruEJzg4mMaNG/PNN98AoNPpCAwM5J133mHUqFH3Xd+zZ0+SkpJYt26d/twTTzxBvXr1mDt37iO9571TgCSBIoTQWlYCRctp1Fr2x7KERwjrUyw5jiqxUVS4eZmKNy5S4eZlyt2OJvB2NM66dIO8R7xLEfXmWoQElyLEu7iT6OxOkrMbic5uJDm7kezsRrKTK8lOLtxxcuWuozN3nFy46+hCiqOT/r+pDpk3RyfS7B3Rpd7h4sweJu+PzWFsLESebt5U65vs2gUrV8KOHbkfr1MHfv4Z6ta1uc9X56d1Umfg9O0Lh3PMvLOzU4vqdu+uJlWqV4fi1j8zx9BkCU+m1NRU9u3bx+jRo/Xn7O3tadu2LTvz2eZz586dhISE5DrXrl07Vq9eXeD3rzVxowzYhRAC7ftjIYT1ueXuxe6ytdldtnau8/a6DAISYikdd40ycdcoExeDf0IsAfHXKZVwA9+km3jfTXyk9/BMScIzJUndwszArts7cP98D+PSvC+eMgVc8t6mWlionN+x33s/66bTQUaGektPh5QUuHMHkpPVpMmNGxATA9ev5/0eRYvC5MkwdCg4WuTHUsOoW1etAfPNNzBhAiQmqv9/d+zInWwqWRL8/MDHR02muLmpNxcX9f+fg4N6s7dXEzBZtyz53bdmKXnvDPc4LPI3NTY2loyMDPz8/HKd9/Pz48SJE3k+Jzo6Os/ro6Oj832flJQUUnL8T4+LiwO0m5ophBD3KvveciC7XzL1pELpj4UQpqIDolw9iHL1AL+KeV7jnJZCyeTb+CTdpkRyHCXuxOGdHE+xuwl430nA624iXncT1ATK3WQ87ybirGQYNM4Unfp6puyPte6L46dPL2zowhZVqwZdu8KAAeDvryZcMtna3/X4+BxZ3Ndfh44dYcECWLMG7v23e/16/skokaes/7uG7I8tMoFiKqGhoXz00Uf3nb8851XTByOEEI/gxo0beHl5aR2GwUl/LIR4VGe1DiCTNfbH+fXFgRrEIizYiRPq7dNPtY5Ec14ztY7ANhiyP7bIBIqPjw8ODg7ExMTkOh8TE0OpUqXyfE6pUqUKdD3A6NGjc01tvH37NuXKlSMqKsrq/iDeKz4+nsDAQC5evGgTa1ptqb3SVusUFxdH2bJlKW7i9bHSHxufLf0eS1utly21V4v+WPpi47Ol32GwrfZKW62XMfpji0ygODs707BhQ8LCwujWrRugFsoKCwtj6NCheT6nadOmhIWFMXz4cP25TZs20bRp03zfx8XFBZc81nN6eXnZxC8cgKenp820FWyrvdJW62Rvb2/S95P+2HRs6fdY2mq9bKm9puyPpS82HVv6HQbbaq+01XoZsj+2yAQKQEhICP3796dRo0Y0adKEmTNnkpSUxIABAwDo168fpUuXJjQ0FIBhw4bRunVrPv/8czp16sTSpUvZu3cv8+bN07IZQghh8aQ/FkII7UlfLIQQxmexCZSePXty/fp1JkyYQHR0NPXq1WPDhg36YlhRUVG5Mk3NmjVj8eLFjBs3jjFjxlC5cmVWr14t+9wLIcRjkv5YCCG0J32xEEIYn8UmUACGDh2a77TE8PDw+8699NJLvPTSS4V+PxcXFyZOnJjn1EVrY0ttBdtqr7TVOmndVumPjUfaap1sqa1gW+3Vsq3SFxuPLbUVbKu90lbrZYz22imm3vNSCCGEEEIIIYQQwsKYttqgEEIIIYQQQgghhAWSBIoQQgghhBBCCCHEQ0gCRQghhBBCCCGEEOIhJIEihBBCCCGEEEII8RCSQLnH7NmzCQoKwtXVleDgYPbs2fPA65cvX061atVwdXWldu3arF+/3kSRPr6CtHX+/Pm0bNmSYsWKUaxYMdq2bfvQ/zfmpKA/1yxLly7Fzs6Obt26GTdAAytoe2/fvs2QIUPw9/fHxcWFKlWqWMzvckHbOnPmTKpWrYqbmxuBgYG899573L1710TRFt7WrVvp3LkzAQEB2NnZsXr16oc+Jzw8nAYNGuDi4kKlSpVYuHCh0eM0hcL+e7Y0oaGhNG7cGA8PD3x9fenWrRsnT57UOiyjmzZtGnZ2dgwfPlzrUIzm8uXLvPLKK5QoUQI3Nzdq167N3r17tQ7L4DIyMhg/fjzly5fHzc2NihUrMnnyZKxl/4KH9cuKojBhwgT8/f1xc3Ojbdu2nD59WptgH4OMjfNm6WNjsK3xsYyN8ydj4wJShN7SpUsVZ2dn5ccff1SOHj2qvPHGG4q3t7cSExOT5/Xbt29XHBwclM8++0w5duyYMm7cOMXJyUk5fPiwiSMvuIK29eWXX1Zmz56tHDhwQDl+/Ljy6quvKl5eXsqlS5dMHHnBFbStWc6dO6eULl1aadmypdK1a1fTBGsABW1vSkqK0qhRI6Vjx47Ktm3blHPnzinh4eFKRESEiSMvuIK2ddGiRYqLi4uyaNEi5dy5c8rGjRsVf39/5b333jNx5AW3fv16ZezYscrKlSsVQFm1atUDr4+MjFTc3d2VkJAQ5dixY8qsWbMUBwcHZcOGDaYJ2EgK++/ZErVr105ZsGCBcuTIESUiIkLp2LGjUrZsWSUxMVHr0Ixmz549SlBQkFKnTh1l2LBhWodjFDdv3lTKlSunvPrqq8ru3buVyMhIZePGjcqZM2e0Ds3gpk6dqpQoUUJZt26dcu7cOWX58uVK0aJFla+++krr0AziYf3ytGnTFC8vL2X16tXKwYMHlS5duijly5dX7ty5o03AhSBjY+scGyuKbY2PZWwsY2NFMdzYWBIoOTRp0kQZMmSI/jgjI0MJCAhQQkND87y+R48eSqdOnXKdCw4OVt566y2jxmkIBW3rvdLT0xUPDw/lp59+MlaIBlOYtqanpyvNmjVTvv/+e6V///4W8wdCUQre3jlz5igVKlRQUlNTTRWiwRS0rUOGDFGefvrpXOdCQkKU5s2bGzVOQ3uUPxIjR45Uatasmetcz549lXbt2hkxMuN73L7Lkl27dk0BlC1btmgdilEkJCQolStXVjZt2qS0bt3aahMoH374odKiRQutwzCJTp06Ka+99lquc927d1f69OmjUUTGc2+/rNPplFKlSinTp0/Xn7t9+7bi4uKiLFmyRIMIC0fGxtY5NlYU2xofy9hYxsaKYrixsSzhyZSamsq+ffto27at/py9vT1t27Zl586deT5n586dua4HaNeuXb7Xm4vCtPVeycnJpKWlUbx4cWOFaRCFbevHH3+Mr68vr7/+uinCNJjCtHft2rU0bdqUIUOG4OfnR61atfjkk0/IyMgwVdiFUpi2NmvWjH379umnMkZGRrJ+/Xo6duxokphNyVL7pwcxRN9lyeLi4gDMvt8trCFDhtCpU6f7fm+tzdq1a2nUqBEvvfQSvr6+1K9fn/nz52sdllE0a9aMsLAwTp06BcDBgwfZtm0bHTp00Dgy4zt37hzR0dG5fp+9vLwIDg62mP5KxsbWOTYG2xofy9hYxsZZDNU/ORoyKEsWGxtLRkYGfn5+uc77+flx4sSJPJ8THR2d5/XR0dFGi9MQCtPWe3344YcEBASY/UC3MG3dtm0bP/zwAxERESaI0LAK097IyEg2b95Mnz59WL9+PWfOnGHw4MGkpaUxceJEU4RdKIVp68svv0xsbCwtWrRAURTS09N5++23GTNmjClCNqn8+qf4+Hju3LmDm5ubRpEVniH6Lkul0+kYPnw4zZs3p1atWlqHY3BLly5l//79/Pfff1qHYnSRkZHMmTOHkJAQxowZw3///ce7776Ls7Mz/fv31zo8gxo1ahTx8fFUq1YNBwcHMjIymDp1Kn369NE6NKPLGgta4jgxi4yNrXNsDLY1PpaxsYyNsxhqbCwJFFFg06ZNY+nSpYSHh+Pq6qp1OAaVkJBA3759mT9/Pj4+PlqHYxI6nQ5fX1/mzZuHg4MDDRs25PLly0yfPt2s/0gURnh4OJ988gnffvstwcHBnDlzhmHDhjF58mTGjx+vdXhC5GvIkCEcOXKEbdu2aR2KwV28eJFhw4axadMmq/ubkhedTkejRo345JNPAKhfvz5Hjhxh7ty5VpdA+e2331i0aBGLFy+mZs2aREREMHz4cAICAqyurcK2WfPYGGxvfCxjYxkbP4gkUDL5+Pjg4OBATExMrvMxMTGUKlUqz+eUKlWqQNebi8K0NcuMGTOYNm0af//9N3Xq1DFmmAZR0LaePXuW8+fP07lzZ/05nU4HgKOjIydPnqRixYrGDfoxFOZn6+/vj5OTEw4ODvpz1atXJzo6mtTUVJydnY0ac2EVpq3jx4+nb9++DBw4EIDatWuTlJTEm2++ydixY7G3t55Vjfn1T56enhY5+wQer++yZEOHDmXdunVs3bqVMmXKaB2Owe3bt49r167RoEED/bmMjAy2bt3KN998Q0pKSq7+ydL5+/tTo0aNXOeqV6/OihUrNIrIeEaMGMGoUaPo1asXoPa5Fy5cIDQ01OoTKFl9UkxMDP7+/vrzMTEx1KtXT6OoCkbGxtY5NgbbGh/L2FjGxlkMNTa2nv8jj8nZ2ZmGDRsSFhamP6fT6QgLC6Np06Z5Pqdp06a5rgfYtGlTvtebi8K0FeCzzz5j8uTJbNiwgUaNGpki1MdW0LZWq1aNw4cPExERob916dKFp556ioiICAIDA00ZfoEV5mfbvHlzzpw5o/9DCHDq1Cn8/f3N9g8EFK6tycnJ9/0hyPrjqFjJtppZLLV/epDC9l2WSlEUhg4dyqpVq9i8eTPly5fXOiSjaNOmzX39bqNGjejTpw8RERFWlTwBtc+9dzvqU6dOUa5cOY0iMp78+tycf2+sVfny5SlVqlSu/io+Pp7du3dbTH8lY2PrHBuDbY2PZWwsY+MsBuufClRy1sotXbpUcXFxURYuXKgcO3ZMefPNNxVvb28lOjpaURRF6du3rzJq1Cj99du3b1ccHR2VGTNmKMePH1cmTpxoUVu1FaSt06ZNU5ydnZXff/9duXr1qv6WkJCgVRMeWUHbei9LqjKuKAVvb1RUlOLh4aEMHTpUOXnypLJu3TrF19dXmTJlilZNeGQFbevEiRMVDw8PZcmSJUpkZKTy119/KRUrVlR69OihVRMeWUJCgnLgwAHlwIEDCqB88cUXyoEDB5QLFy4oiqIoo0aNUvr27au/PmurthEjRijHjx9XZs+ebTXbGD/oZ25NBg0apHh5eSnh4eG5+t3k5GStQzM6a96FZ8+ePYqjo6MydepU5fTp08qiRYsUd3d35ddff9U6NIPr37+/Urp0af02xitXrlR8fHyUkSNHah2aQTysX542bZri7e2trFmzRjl06JDStWtXi9zGWMbG1jc2VhTbGh/L2FjGxopiuLGxJFDuMWvWLKVs2bKKs7Oz0qRJE2XXrl36x1q3bq30798/1/W//fabUqVKFcXZ2VmpWbOm8ueff5o44sIrSFvLlSunAPfdJk6caPrAC6GgP9ecLOkPRJaCtnfHjh1KcHCw4uLiolSoUEGZOnWqkp6ebuKoC6cgbU1LS1MmTZqkVKxYUXF1dVUCAwOVwYMHK7du3TJ94AX0zz//5PlvMKt9/fv3V1q3bn3fc+rVq6c4OzsrFSpUUBYsWGDyuI3hQT9za5LXzxuwmp/jg1hzAkVRFOWPP/5QatWqpbi4uCjVqlVT5s2bp3VIRhEfH68MGzZMKVu2rOLq6qpUqFBBGTt2rJKSkqJ1aAbxsH5Zp9Mp48ePV/z8/BQXFxelTZs2ysmTJ7UNuhBkbKyytrGxotjW+FjGxioZGz/+2NhOUaxsbo4QQgghhBBCCCGEgUkNFCGEEEIIIYQQQoiHkASKEEIIIYQQQgghxENIAkUIIYQQQgghhBDiISSBIoQQQgghhBBCCPEQkkARQgghhBBCCCGEeAhHrQOwJDqdjitXruDh4YGdnZ3W4QghhJ6iKCQkJBAQEIC9vfXnxqU/FkKYK1vqj6UvFkKYM2P0x5JAKYArV64QGBiodRhCCJGvixcvUqZMGa3DMDrpj4UQ5s4W+mPpi4UQlsCQ/bEkUArAw8MDUH8Anp6eGkcjhBDZ4uPjCQwM1PdT1k76YyGEubKl/lj6YiGEOTNGfywJlALImpro6ekpfySEEGbJVqZQS38shDB3ttAfS18shLAEhuyPrXthphBCCCGEEEIIIYQBSAJFCCGEEEIIIYQQ4iEkgSKEFhQF4uPh+nXIyNA6GiGEEEIIIWyTTqfehHgEUgNFCGNLS4M9e2DLFvV27JiaOElJUR+3s4MSJaBsWWjeHFq3Vm8+PtrGLYQQQgghhDU7exZatVLH41u3QoUKWkckzJwkUIQwlgsXYN48+OEHiInJ/zpFgdhY9bZ/P8yaBY6O0LUrDBoETz0FBtq3XAhhOYJG/Znn+fPTOpk4EiGEEMJKjRkDV66o98eOhSVLtI1HmD1JoAhhaJGRMGoU/P67mhy5V4kSEBAAJUuCi4uaOLl+HaKisqcPpqfDihXqrWpVCA2Fbt3U7LgQwqrkTJQ8SnKkoNcLIYQQIg/HjsHy5dnHy5bBxIlQrZp2MQmzJwkUIQwlLg6mToWvvoLU1Ozzjo7QpQt06ABPPgkVK+adCLl9G7Ztg82bYfHi7FkrJ09C9+7qsp4vvoAGDUzRGiGEBvKbdSKEEEIIA5syJfeXnYqinvv1V+1iEmZP1gUIYQj//AM1a8L06dnJE19fmDxZnVmyYgUMHAiVKuU/i8TbG557Tk2SXLyoZsRbtMh+fMsWaNwYxo9X66oIIYQQQgghCu7ECVi6VL3v45Nde3DJEjh1Sru4hNmTGShCPI60NHWq37Rp2RlsFxcICYHRo8HDo3Cv6+QEL74IL7wAa9fCBx/AmTPqEp8pU+Dvv2HRIil0JYSFMtRME1nOI4QQQhTC1KnZY/cPPlDvjx6tjrWnToWfftI2PmG27BQlryINIi/x8fF4eXkRFxeHp6en1uEIrV2/rtYl2bEj+9zTT6tFY4OCDPteqanq7JZJk9T6KKAmZ5YtU5cGCZtna/2TpbfXlEt1JLEihGlZev9UELbUVmFFzp6FKlXUZEmJEnD+vJpACQqCmzfBwUGdhSJfVFo8Y/RRsoRHiMI4cQKeeCI7eeLoCJ99Bps2GT55AuDsrFYG375draECkJAAnTvD3LmGfz8hhBBCCCGs0YYN2Rs3DBsGRYuqX0y++656LiNDvUaIPEgCRYiC2rIFmjVTd9sBdUedHTtgxAjjbzfcpAkcOKAWlQW1gx80SJ16mPWHQAghhBBCCJG3Q4ey77dpk/f9w4dNF4+wKJJAEaIgNm2C9u3h1i31uE4d2L1bLe5qKh4eaoHZDz7IPvf55/D225JEEULcJ2jUn/qbEEIIYfNyJlBq1877fs5rhMhBisgK8aj++gu6doW7d9Xj9u3ht9/yLRSb34eVnPUIHuUDTZ71C+zt1ZoolSrB4MFq4mT+fHX95nffGX8mjBBCCCGEEJZGp8ueXVKhQu5xvJeXuhT//Hn1Gp1OxtTiPpJAEeJRbNqUO3ny/PPq1mfOzgV+qYJ+C/zAXTbeekvt7Pv0UTv5779Xz0sSRQizIzNAhBBCCI1FRkJSEgAbHXx5656/zfMd/XiG82qtwfPnpZCsuI8kUIR4mD171N12ciZPli1Ttxq+h7E/IOWZTOnVC+zs1CRKRoaaRClWTC1qK4QQQgghhFDlWJpzomT5+x4+XjKIZ87szr5WEijiHpJAEeJBzpyBTp0gOVk97tbtvuSJWXyr3LOnmkTp3VudiTJ9OpQurVYWF0Joxiz6ByGEEEKociRQjvsG3ffwCd/yua/t1s34MQmLIgkUIfITEwPt2kFsrHrcujUsWQJOTub5oahHD7W47dtvq8fvvafuEPTSS9rGJYQwGw9cEiiEEEJYu1wzUILuezjXOSkkK/IgCRQh8nL3LnTpkr1Vca1a1Kk3iPhJYdrGlUOeH4TeegsuXYIpU9SCsq+8AmXKQNOmGkUphBBCCCGEmchKiri7E+Vd6r6HzxfzBzc3uHNHEigiT5JAEeJeiqLO4tizRz0uUwb+9z/ivzmobVwPkCuZEvoxXL4MCxZAaiq88ALs3avORhFCCCGEEMIWJSbC2bPq/dq10dk73HeJzt4BatWC//5Tl/InJUGRIiYOVJgz2aZDiHt9/TX89BMAdxxd6Nh2JEFmnDy5j52dugtP69bq8dWr0L17dhFcIYRATbxm3YQQQgird+RI9v06dfK/LusxRYGjR40bk7A4MgNFiJzCwuD99/WHH3QczjE/y6q+nfVhqHidN9l/7hxERcHu3TBoEPz4o5pgEUIYjSQkhBBCCDN0MPsL0Qnn7KF4PtflTK4cPAhNmhg3LmFRbGoGSmhoKI0bN8bDwwNfX1+6devGyZMntQ5LmIvLl9UtgTMy1OPRo/mzekttY3oMN929YM0adR0nwMKF6hbHQgghhLB6W7dupXPnzgQEBGBnZ8fq1atzPa4oChMmTMDf3x83Nzfatm3L6dOntQlWCFPIWUDW9/4tjLP02pWU53OEABtLoGzZsoUhQ4awa9cuNm3aRFpaGs8++yxJSUkPf7Kwbunp8PLL2TvudOgAkydrG5Mh1KunzjrJ8u678odACHGfrKU85T/8Q93NKzJS7SsiI9XjrMSyEMJiJCUlUbduXWbPnp3n45999hlff/01c+fOZffu3RQpUoR27dpxV5b8Cmv1kB148nxMxs3iHja1hGfDhg25jhcuXIivry/79u2jVatWGkUlzMKkSbB1q3o/MJB6lftye+yGBz7FYvTqBdu2wezZah2Ul15Si8p6eGgdmRBCY+VvXqZ15D5qx5yhZvRZKt24CJ/p7r/QwQGqVYMGDdRb+/bqsRDCbHXo0IEOHTrk+ZiiKMycOZNx48bRtWtXAH7++Wf8/PxYvXo1vXr1MmWoQhifouiTIZc9ShLvWjTfS2+7eXK1aAn8E2+oz1EUWQIv9GwqgXKvuLg4AIoXz28BnLAJf/0Fn3yi3ndwgKVLub32lrYxGUhWLQYX1zacrL8DDhyAU6fUeii//CJ/DISwQWXiYnjp0Cban9pB1dioR3tSRoZaSO/oUbXveO89qF5dLVD92mtQwbJqRQlh686dO0d0dDRt27bVn/Py8iI4OJidO3dKAkVYn6goiI8H4IRv0EMvP+EbpCZQbt+GS5cgMNC48QmLYbMJFJ1Ox/Dhw2nevDm1atXK85qUlBRSUlL0x/GZ/+iEFbl+Hfr1UzPLQGjLvnxnJcmTnFIcnWndeBDrjg7DI/UOLFqkfoP8yitahyaEMJH6l0/w+n+r6XBqBw7K/bNM0uwdOFMikOoNqkKxYlC0qLrl461b6m5ex46pyx2zHD8OU6dCaCh06wYhIdCsmSRmhbAA0dHRAPj5+eU67+fnp38sLzI2Fhbr8GH93Qct38m+pjxPRe7Lfq4kUEQmm02gDBkyhCNHjrBt27Z8rwkNDeWjjz4yYVTCpBQF3ngDYmIACC/fkHlNumsclPFcKBbA6Pbv8M3az9QTQ4ZAixYQFKRpXEII46oUG8W4zT/w5Ll99z22t3R1NlZuys5ydTjtU5YUR+dcj5+f3yn7ICVFnYESHg6rVsH27Wo/qtPBypXq7Zln4PPPoXZtI7dKCKEFGRsLi3X2rP5uZPEyD708snjpPJ8rhE0Vkc0ydOhQ1q1bxz///EOZMvn/Axo9ejRxcXH628WLF00YpTC6H35Qd6kB8PFhRMfhKHbW/U9iXfVWrKj1tHoQH6/OvpHikEJYJa87CUz+61s2/Dg0V/LkehFvPm/RhyaDf+LFV6YzP7g7R0pVui95ch8XF7X+SUgI/PuvunPZ1Kng7599zaZNavHqN9/MLsothDA7pUqVAiAm80ukLDExMfrH8iJjY2Gxzp3T373o7feAC/O4JsdzhbDuT4v3UBSFoUOHsmrVKjZv3kz58vlvXwXg4uKCp6dnrpuwEmfOwPDh+sOBrQZxvWgx7eIxoYlt3+aiV+YfhX//henTtQ1ICCuQtYtNVt0hrT119j82/TCYvgfW45i5XOeyR0lGdHiX5m8vYFbz3lzzKPF4b+LvD2PGwPnz6jbpWbPZdDqYPx9q1sxOUgshzEr58uUpVaoUYWFh+nPx8fHs3r2bpk2b5vs8GRsLi5UzgeL1CAkUrxyJREmgiBxsKoEyZMgQfv31VxYvXoyHhwfR0dFER0dz584drUMTppSRoc68yNy+enHd9vxdOVjjoEwn0cWdkE7vkZE122bCBDh4UNughBAGUSQlmU/Xf8WC3z/CN0mt55To7MZnrfrx9BtzWV7nWVIdnQz7ps7O0L+/WhNl2rTsHb6uXVNro/TvD5lF24UQppOYmEhERAQRERGAWjg2IiKCqKgo7OzsGD58OFOmTGHt2rUcPnyYfv36ERAQQLdu3TSNWwijyEyCpNo7ElP04RuIXPUoQZq9Q67nCgE2lkCZM2cOcXFxPPnkk/j7++tvy5Yt0zo0YUozZ8LOnQCcK+bPlKdf1zYeDfwXWIu5wS+oB2lp8Oqr6n+FEBar4o2LrPk5hJ6HN+nP/VOhIW0GzuHbpj1IcXIp8GsWaFaNqyt8+CGcPAnPPZd9/uefoXFjOHKkwO8vhCi8vXv3Ur9+ferXrw9ASEgI9evXZ8KECQCMHDmSd955hzfffJPGjRuTmJjIhg0bcHV11TJsIQxPUfRJkMteJdFlJUYeQGfvwBXPkurBuXP6DSeEsKkEiqIoed5effVVrUMTpnLyJHdHjQFAhx0fdHyPZGc3jYPSxlfNX+aETzn1ICJC3UlDCGGR2p/czpqfQ6h08xKgzjr5sP07DHhxEjEePqYNxt8f1q6FBQsga3r/6dMQHAzyhYUQJvPkk0/mOe5duHAhAHZ2dnz88cdER0dz9+5d/v77b6pUqaJt0EIYw40b6q5y3LM05yH0S33i49Ud6YTAxhIowsZlZMCAAbimpwLwY6Mu7CtTQ+OgtJPq6MQHnd4Dh8ws/OTJspRHCEujKAzbtpi5q0MpmqouRz1eMohOr37FsrrtDLalcIFrvNjZqTPbIiLUorIAycnQqxeMGyff5AkhhDCdHEtwLj1C/ZMsUd5SB0XcTxIownbkWLoTWSyAGa36ahuPGThSqhJfN3lRPUhPl6U8QlgQx4x0pm2YxXvbF+vPra7Rmu6vzOBCsQANI8uhfHnYsUOtg5Jl6lQYMED6GiGEEKZRwB14suRKtkgCRWSSBIqwCa3e+p47o8YC6tKdER2Hc9dJ1vgCfNOsV+6lPJ9/rmk8QlgKLXfecU+9w/yVk+l16C/9ualPvsbw5z7gjrOZ9W1ubupynq++yp4R89NP0KkTJCRoG5sQQgjrFxmpv/soO/DkeW2O1xC2TRIowvopCp9s/Aa39BQAfmr4nE0v3blXqqMTIzoOz96VZ9IktV6BEAUwe/ZsgoKCcHV1JTg4mD179uR77fz582nZsiXFihWjWLFitG3b9oHXi9yKpiTz028TeSpyHwApDo4M7TKS+cHdDbZkx+Ds7ODdd2H5cnDJLGa7aRM8+yzcvq1paEIIIaxcjtkjuZblPMTFHNf+uiTckBEJCyYJFGH9Fi6kxQW1tsclz5JMb9VP44DMz2H/yvzQqKt6kJICb7wBOp22QQmLsWzZMkJCQpg4cSL79++nbt26tGvXjmvXruV5fXh4OL179+aff/5h586dBAYG8uyzz3L58mUTR255PO8m8suy8TS+fAyAeJci9O/xMeuqt9I4skf0wgsQFgbFiqnHu3bBM8/AzZvaxiWEEMJqbf3rP/39ws5ACYyLMWhMwnJJAkVYt+hoeP99/eG4Z4fY7K47D/Nliz5EZf2h2LIFfvhB24CExfjiiy944403GDBgADVq1GDu3Lm4u7vz448/5nn9okWLGDx4MPXq1aNatWp8//336HQ6wsLCTBy5ZfG8m8ivy8ZR/+pJAG65etC711R2la1j0jgee+lS8+YQHg4+mbsD7d0LbdpAbKzBYhRCCCGyBMZFA+oOdbfcPB/5eTfcvUh2UmdNlpEEisgkCRRh3YYP1287tqrGk4RXbKRtPGbsjrMrY9oNzT4xYoSagBLiAVJTU9m3bx9t27bVn7O3t6dt27bszCza/DDJycmkpaVRvHjxfK9JSUkhPj4+182WFMlctlMn+gwAN9w86d37E46WqqRxZIVUp46aRPHLTNpGRED79upWkUIIIYShZGRQOu46kDmjpCBLXe3s9LNQysTFyOxsAUgCRVizDRtg2TJA/aZ2cps3NA7I/G0rX58VtZ5WD+Li4L33tA1ImL3Y2FgyMjLw88s9JdbPz4/oR0zAffjhhwQEBORKwtwrNDQULy8v/S0wMPCx4rYkLumpzF85RT/z5Lq7N716h3LCt7zGkT2mmjXV2W7+/urxvn3w3HPqdsdCCCGEIVy5grMuHSjYFsZZsmqmuGSkw9WrBg1NWCZJoAjrlJxMVK9X9YdTn36dm+5e2sVjQaY89To3s6Y3Ll1Kvx4faxuQsGrTpk1j6dKlrFq1ClfX/HePGT16NHFxcfrbxYsXTRildhwz0pm9OpRmUYcAiHMpQt+ekzldspzGkakeezlP1arw999QooR6/O+/0L27WotJCCGEeFw5tzAuRAJFtjIW95IEirBOU6ZQNnOt4q7AWvxeq43GAVmOW+5ehD45QH88edMcuHNHw4iEOfPx8cHBwYGYmNxrg2NiYihV6sGV7mfMmMG0adP466+/qFPnwXU8XFxc8PT0zHWzeorCtA2zaHtWLX6X5ORK/x4fW/7Mk3vVqAEbN4KHh3q8cSMMGCBTpYUQQjy+nAkU74InUC565RjLSAJFIAkUYY2OHoXp0wFItXdkbLsh5ru1p5laXrstuwNrAVDudjRMmaJxRMJcOTs707Bhw1wFYLMKwjZt2jTf53322WdMnjyZDRs20KiR1CbKy3vbFvHiEfX/a4qDEwNfmEBEQFWNozKShg3hzz/BLbPI95IlMGaMtjEJIYSwfLlmoDz6Fsb653jLDBSRmyRQhHVRFBg0CNLVtY5zg1/gbAnbqZVgMHZ2jHl2CKn2jurx9Olw/Li2MQmzFRISwvz58/npp584fvw4gwYNIikpiQED1JlM/fr1Y/To0frrP/30U8aPH8+PP/5IUFAQ0dHRREdHk5iYqFUTHtljL1l5RL0iNjBsx1IAdNgxrPMH7Cxn2t12TK5lS1i6FOwzhyaffgqzZ2sbkxBCCMv22DNQJIEicpMEirAqIZ3fV9fQA+e9/ZndtIfGEVmusz6BfBf8gnqQlsaO9r0I+nCdtkEJs9SzZ09mzJjBhAkTqFevHhEREWzYsEFfWDYqKoqrOQqvzZkzh9TUVF588UX8/f31txkzZmjVBLPSOnIfU/76Vn88uc1ANlRtrmFEj8YgyaUuXeCbb7KP33kH/vjj8YMTQghhmyIj9XcLUwMl13NyvJawXY5aByCEwdy6xZh/ftQfTnzmbVIy924XhfNN0x50PRZO2bgYmkUdosvxLcBzWoclzNDQoUMZOnRono+Fh4fnOj5//rzxA7JQlWKjmLXmUxwVtf7H/MbdWNCoq8ZRmdigQRAVBdOmqbMKX34Ztm9Xtz4WQgghCiJz1sgNN0+Snd0K/PQkF3duunlS/E68zEARgMxAEdZk7Fh8kuMA+LNqc7ZUaKhxQJYvxcmFSW3f0h+P3/y9ur2xEMLgiiXH8cOKj/FMVbfx3VClKZ889ZrGUWlk6lTo2VO9n5gInTvDPYWKhRBCiAdKSYErVwC46F3w+idZ9LNQLl2C1FRDRCYsmCRQhHX47z+YOxdQd6qY/PQbGgdkPTZXasLGyk8AUDLpNowbp21AQlghp4w05q76RC3aDBz1rcB7nd5HsbPRP9P29rBgATRurB5HRcHzz8Pdu9rGJYQQwnJcuKDOZKRwy3ey6JMviqL+PRI2zUZHZsKaVBi5loNd+ug7yJnNXyba00fjqKzLx23e5I6juhwqY/a3dBwwy+hFNIWwJZP+/o7gS0cBuFakGK+/MIE7zq4aR1V4BqmH4uYGq1dD6dLq8c6dMHiwvq8XQgghHijHkuHCFJDVP1cKyYocJIEiLF7PQ5uoG30agJM+ZVnQqIvGEVmfy16+fN28FwAOio6PN83BLrNGgxDi8fSK2ECfiA2Aul3xG93HSRI4S0AArF2bvb3xggUwZ462MQkhhLAMORIolz19C/0yl71yPPfChccISFgDi0mg3Llzh/DwcJYvX87+/fu1DkeYi9hYRm75SX844ZlBpDtIbWRj+L5xN84WLwNAo8vHeeHIZo0jEsLyNbh8nI83zdUfj24/lIMBVTWMyAw1aAA//JB9PGyYfrc1IYQQIl85kh2Pk0C55Fkyz9cUtslsEigXLlygR48e+Pj4EBAQwJtvvsmtW7cA2LRpE5UqVaJNmzb06tWLxo0bU79+fU6dOqVx1EJzY8ZQ7G4CAKtqPMnusrU1Dsh6pTk4MTFHQdlR4Qsg89+oEKLgSibeZM7qUJx16QAsaNiZlbXaaByVmerdG95/X72fng4vvqgW8xNCCCHykyPZccnrMWageMoMFJHNLL6qv3HjBs2bN+dKZpVkgO+//56TJ0/yyy+/8MILL2BnZ0eHDh3w8fFh27ZtHDx4kGeeeYYjR47g4eGhYfRCM3v2wPffA5Dg7Ga7u1WY0Lby9VlXtQXPndym7ng0fjx8843WYQlhVMao9+OYkc43az7FL/EmALsCazH1qdcN/j5WZdo0OHgQ/v4brl2DHj0gPBycnbWOTAghhDnKUfBVlvAIQzGLGSifffYZV65coW/fvly8eJHo6Gjeeusttm3bxoABAyhVqhSHDx9m3bp1LFy4kFOnTjFgwAAuXbrEt99+q3X4QgsZGTBkiL6Y4JctXuF60eIaB2Ubpjw9kCSnzOKWc+ZARISm8QhhiUZs/VlfNPZq0RIM6TrKapcfGqSgLICjIyxdCuXKqcc7d8KIEY8foBBCCOuUmey46eb5WIXZk53duOXqkes1he0yiwTKn3/+iZ+fH/Pnz6d06dL4+voya9YsAgICCA8PZ9q0aZQtW1Z/vb29PTNmzKBIkSKsXbtWw8iFVkZ3Gg579wJwwqccPzfopG1ANiTa04dZzdSCsuh07H3uZcp/+Ie2QQlhQdqd3MFbe1YCkGrvyOBuo7lRxFvboCxFiRLw++/Zs06+/lpNqgghhBA5pafD5csAXM5Zw6SQ9LNQLl1Sv8gVNsssEijnzp2jUaNGOOeYhuvo6EjDhg0BaN68+X3PKVasGA0aNODEiRMmi1OYiRs3cheOfVYKx5raD427SkFZIQqh/M3LzFj/pf54ytOvc6B0NQ0jskCNGsGsWdnHAwfCsWPaxSOEEML8XL6sT3Rcfoz6J/qXy0rCZGRAjrITwvaYRQIFyLOOSbFixQDw88t73+7SpUuTmJho1LiEGcpROHZ1jdbsCaylcUC2J8+CsrdvaxeQEBbAJS2Fb1eH4pF6B4A11Vvzc4PnNI7KtAy2nOeNN6B/f/V+UhK89JL6XyGEEAIMtgNPliuyE4/IZBYJlJIlS+YqIJvF3t4ee/v8Q0xOTsbb29uIkQmzs3cvzJ8PQKKzG588KYVjtbKtfH3WV2kGoBaUnTBB44iEMG8Tw+ZR/fp5AE6XCGR0+6FgZ6dtUJbKzg6+/RZqZ+68duwYDB6sr4slhBDCxhk4gXJJduIRmcwigVK5cmWOHj163/kffviBtLS0fJ93+PBhSpcubczQhBkp/+EfRHR5WT9Antm8N9c8SmgclW2b0mYgyU4u6sHs2eoOGUKI+3Q7+g8vH9wIQLKTC4O7jiLZ2U3jqCycuzssXw5Fi6rHP/8MCxZoG5MQQgjzkDOB4mXAGijAZ/P+euzXE5bLLBIojRo14saNGxw4cOCRn3PkyBEiIyPzrI8irFPPg39R7+ppAE6VKMvChl00jkhc8fTlm6Y91QOdLtfOSEIIVcXYi3yyMXu77/HPDOZ0yXIaRmRFqlaFefOyj4cMgcOHtYtHCCGEWViy/F/9fUPMQMn5GmXirj326wnLZRYJlA8//JDDhw9TsWLFR37O0aNH6d+/P7179zZiZMJs3LzJyK0/6w8nPvO2FI41E983fp7IYgHqwfbthHR+X9uAhDAjLmkpzF4zDfe0FACW1X6GFbXbaByVeTBYPZTeveHtt9X7d+9Cjx5SD0UIIWxc6fjr+vsG3YUHKB0vCRRbZhafQL29vQtcy6Rnz5707NnTOAEJ8zN2LMXvxAOwtnordparo3FAIkuqoxOT2r7Fz8snAjD6nwVwewJIfSJhwR77Q32miWHzqRarTiM+4VOOic+89ZBniEL58kvYtQsiIuDECRg6VJbzCCGEDctKoCQ7uXDLzfOxX++mmyd3HF1wS0+htMxAsWlmMQNFiAfauxe++w5QC8dOfUoKx5qbrRUa6gvKlky+DRMnahuQEGag87EtvHxwA6AO4IZ2/ZC7Tq4aR2WlXF1h2bLseigLF6o1UYQQQtgeRSEgM4Fy2dPXMAXb7ez0M1lKx1+XJes2TBIowqzdWzj2q2a9ifHw0TgqkZdcBWW/+UYKygqbVu7WlVx1TyY8M4gzPmU1jMi8GWQ5T5Uq+mQ7AIMGqbNRhBBC2Jbr13FLV5fOGqL+SZasZTxu6SkQG2uw1xWWxawTKB9//DFr167VH69Zs4aPP/5Yw4iEqfW6p3DsgkZSONZc3VtQdm+n3mphWSFsjHN6Gt+s+RSP1DsArKj5FL/XkronJvHyy/D66+r95GTo2VOtiyKEEMJ2GHgHHv1r5aylIlsZ2yyzTqBMmjSJ1atX649Xr17NRx99pF1AwrRiYxm55Sf94YRnpXCsuZvf5HnOFi8DQKPLx+Gnnx7yDCGsz8gtC6kdcxaAyGIBTHhmkGGmD4tH8/XXUKOGev/QIfjgA23jEUIIYVo5EyiGnIGS87UkgWKzzDqBImzcqFEUu5sAwKoaT7KrrBSONXdpDk5MeObt7BMjR8LNm9oFJISJPX1mDwP3rgEgxcGRoV1HkeTirnFUNsbdXa2H4ppZb2b2bFi1StuYhBBCmE6O5MYlL8Mv4bn3PYRtkQSKME+7dsEPPwAQ7+zOJ0+9rnFA4lFtD6rHumot1YPYWH5t84rBdjQRwpyVio9lxvqZ+uOpT73OMb8K2gVky2rVgq++yj5+7TUZ7AohhK0w2gwUWcIjJIEizFDFkWs51vVl/fEXLV/hetFiGkYkCmry06+T6OwGwMsRG6h75aTGEQlhXPa6DL5aN0O/3fpflZ/g5wbPaRyVjXvjDXjpJfX+7dtqfZT0dE1DEkIIYQLGSqDknIESFWWw1xWWRRIowuy8uu8Palw7B8BR3wr80qCTxhGJgorx8OHL5moSzB6FqX99Kx9chFV7Z8cygi8eAeCyR0lGdBgmdU8KySA78oD6/3/ePAgKUo937IBJkx43PCGEEOYuM7mRZu/ANQN+CRtTtATpdpkfn2UGis2SBIowL5cu8d62RQDosGNsuyFk2DtoHJQojIWNunC8ZBAAtWLOwrffahuQEEYSHHWYd3csBSDdzp5hXT4gzs1D46gEAN7esHQpOGYWIP/kEwgL0zQkIYQQRpaZ3Ljq4YPOgJ8jMuwdiPbwyfUewvZIAkWYl+HDKZq59efieu2JCKiqcUCisDLsHRjbbkj2iXHj4MoV7QISwgiKJccx848ZOCjqlt1ftujD3jI1NY7KehhkNkpwsJo4AVAUeOUVuHbNMAEKIYQwLwkJcOsWAFc8DbeFcRb9Mp6bNyEx0eCvL8yfJFCEWQga9SevvjQJVqwA4Lq7N5+17q9tUOKx7S9dncV126kHCQmse7qnFJQV1kNRmL5+Jv6JNwDYXq4Oc554UeOgRJ7efx/aZfZF0dHQrx/odNrGJIQQwvBy1j8x4A48+teUQrI2TxIowiy4pd5lyl9z9MefPPUa8a5FNYxIGMqnrV/lhpsnAM+d3MZTZ//TOCIhDOP1vWtom/n7HOvuxXud3jfoVGFhQPb28PPPUKqUerxxI8yYoW1MQgghDO/8ef3dS55+Bn/5SzmL0p47Z/DXF+ZPEijCLAzfvpgy8eqU6m3l6rKq5lMaRyQMJc7NgylPD9QfT/5rDiQlaRiREHkryHKR2ldP82H4Qv3x+51CuOZRwojRicfm6wu//ppd3HfsWNi1S9uYhBBCGNbZs/q7Ud6lDP7yF3O+ZmSkwV9fmD9JoAjtRUTw+n+rAUhxcGLcs4Nl9wors6rmU2wrVxdATZRNnKhxREIUXtGUZGat/Qxnnbqz1Nwm3dlSoaHGUVk/g9RDadMGxoxR76enQ69e+rXyQgghrECOpMaFYoZPoFwo5p/newnbIQkUoa2MDHjjDRwzCzDOataT88VLaxyUMDg7O8Y9O5gUByf1eOZMOHBA05CEKBRFYdqGWQTdvgrAAf+qzGjVT+OgRIFMmgTNm6v3L1yA115Ti8sKIYSwfDlnoHgZPoGS6zUlgWKTzDqB0r9/f1q0aKE/btGiBf36yUDVWgSN+pOPnx0Ee/cCcKpEWb4LfkHjqISxnC9emq+b9VIPMjI43OElKo5cq21QQhRQn4j/8dyJfwGIdynCO11GkO7gqHFUokAcHWHJEiheXD1evRpmzdI0JCGEEAaSmdS46+jMtaLFDf7yMR7Fs78QzJGsEbbDrBMoCxYs4LXXXtMfv/766yxYsKDQr7d161Y6d+5MQEAAdnZ2rF692gBRisIqczuaD/79WX88pv0Q0rI6JGGV5gV356RPWQBqx5zVL90SwhLUiIlkQth8/fGIjsO4ZIT11eLhHns5T2Ag/PRT9vEHH+iT+ULYkkmTJmFnZ5frVq1aNa3DEqJwdDp9Ydcor1JGKQmg2Nlz0SuzOG1kpMxgtEFmnUAxtKSkJOrWrcvs2bO1DkUoCp9snI17WgoAP9fvxN4yNTUOShhbmoMTo9q/iw71D1rItkVw5ozGUQnxcEVTkvlmzTRcMtIAWNCwMxurNNM4KvFYnntO3d4YIC0NevaEuDhtYxJCAzVr1uTq1av627Zt27QOSYjCuXoV7t4FIMrb8DvwZNEXp717F6KjjfY+wjyZ9bzj5ORk9u7dy9WrV0lJScn3ukdd1tOhQwc6dOhgqPDE4/jpJ1qdV2tgXPHw4bPW/TUOSJjKgdLVWNiwM6/tW4treiq88QZs3iyFg4X5UhRCN8yiwq0rABwqVYnQJ197yJOERQgNhW3bYPdu9ZvE116D33+X/kjYFEdHR0qVktl0wgrkqEkS5e3/gAsfT65CsmfPgr/x3kuYH7NNoEyYMIEvv/yS5OTkfK9RFAU7Ozupi2JpoqMhJER/OLbdEBJd3DUMSJjajFZ9eebMbgLjYiA8nNEd3mVJvfacn9ZJ69CEuM8rB9bTOavuibM7Q7t8SKqjLDc0FzmX8RS4D3FygmXLoH59dTeelSvh669h2DADRymE+Tp9+jQBAQG4urrStGlTQkNDKVu2rNZhCVFwRt7COMvFHIVkQ6at5It1LR5wtbA2ZplA+eyzz5gyZQoODg506tSJKlWq4OHhYfI4UlJScs18iY+PN3kM1ibow3V8t2oq7TK3jVxdozX/VGyscVTC1JKd3RjTbgi//DYBgDH//MCWCg00jkqI+9W+eprxm3PWPRlOVDH5psmqlCsHP/8MnTurxx98AMHB8MQT2sYlhAkEBwezcOFCqlatytWrV/noo49o2bIlR44cyXPsLWNjYc6+mr+RrPS3MRMoOV+73C1ZwmNrzDKBMn/+fNzc3Pj3339p0EC7D1WhoaF89NFHmr2/NepyfAvtTu8CINbdi4/bvKlxREIr/5ZvwG+129Lj8N94pN5h2v9mgfKqTJ0XZsPzbiKz10zDJSMdgB8adWVjVal7YpWeew5GjoTPPoP0dOjRA/bvBx8frSMTwqhyLm2vU6cOwcHBlCtXjt9++43XX3/9vutlbCzMWdnb2cmMC8ZcwpMjgRIYJwkUW2OWRWQvXrxI69atNU2eAIwePZq4uDj97eLFi5rGY/Gio/lo03f6w3HPDuamu5eGAQmtTXl6IFeLlgBQa+J8/73GEQmhslN0fLnuc8rGxQBwwL8q0558VdughHFNmQItMqdhX7wIffpARoa2MQlhYt7e3lSpUoUz+RR4l7GxMGflbl/V37/k5Wu097mYo0BtzqSNsA1mmUApVaoURYoU0ToMXFxc8PT0zHUTBRc06k+CPlzHX62ep9jdBAD+qNaSDVWbaxyZ0Fq8a1FGt39Hf5wwdBjNBi8o/NakQjOzZ88mKCgIV1dXgoOD2bNnT77XHj16lBdeeIGgoCDs7OyYOXOm6QK9R37b4Q7euZw2Z/8D4KabJ0O6fSjbrFuAx9reOKseim/moPuvv+Djjw0boBBmLjExkbNnz+KfT1FMGRsLcxZ4W/3S42rREqQ4uRjtfe46uRJTtDiQO2kjbINZJlB69epFeHg4SUlJBn3dxMREIiIiiIiIAODcuXNEREQQFRVl0PcR9+t+dDPPZi7due7uzYRn3tY4ImEuwis2YlntZwDwSL3D9PUzsVN0GkclCmLZsmWEhIQwceJE9u/fT926dWnXrh3Xrl3L8/rk5GQqVKjAtGnTzHLnhxbnDvD+v78CoMOOdzuP4Iqn8b7JEmYkIEBNothnDo8+/hjWr9c2JiGM6IMPPmDLli2cP3+eHTt28Pzzz+Pg4EDv3r21Dk2IgklIoGTybcC49U+yRGUWki2ZdBsM/JlVmDezTKBMmjSJ6tWr06VLl3ynEBbG3r17qV+/PvXr1wcgJCSE+vXrM2HCBIO9h7hf6bhrTLpn6c4tWbojcpjSZiBXPNRaA80vHOLVfX9oHJEoiC+++II33niDAQMGUKNGDebOnYu7uzs//vhjntc3btyY6dOn06tXL1xcjPcNUWGUjrvG139Mxx4FgC9a9mFb+foaRyVM6skn1e2Ns/Tpk2tnByGsyaVLl+jduzdVq1alR48elChRgl27dlGyZEmtQxOiYM6d09+9aIoESo5lPDnfW1g/sywi27FjR3Q6HeHh4VSvXp1y5cpRpkwZ7O3vz/fY2dkRFhb2SK/75JNPoiiKocMVD6LT8fmfX+CZqm5HvaLW01KEUdwnwaUIH3QczuJl4wAYFb4Qjg2HGjU0jUs8XGpqKvv27WP06NH6c/b29rRt25adO3ca7H1MsfODS1oK362aSvE76mtvrtCI2U17GPx9hGk81vbGI0bAzp2wejXcvg3PP68em8HyYiEMaenSpVqHIIRhREbq714wSQIlxzK3s2ehVi2jv6cwD2aZQAkPD9ffz8jIIDIyksgc/yhyspMdO8xS1sB14J6VjLt4BIBLniWZ1PYtLcMSZmxHUD1+aNSV1/euwSUjjSNPd+H5vjNIc3Aq+IcfYTKxsbFkZGTg5+eX67yfnx8nTpww2PsYfecHRSF04zfUilFnGpz39md45w9Q7MxyoqYwNjs7WLhQ3c745Ek4fBhefx2WLJGdwoQQwhzlmClokiU8Od8jn8+pwjqZZQLlnEyDsgrVrp1jxNafAbWOwPudQkhwkW/vRP4+a9WPlucOUOVGFLVizjJ822Kmt+6vdVjCDIwePZqQkBD9cXx8PIGBgQZ7/Vf3/UH3o/8AkOTkypvdxxLvWtRgry8skJeXOgOlSRNISFBrozRsqM5OEUIIYV5yJDFMs4RHEii2yiwTKOXKldM6BPGY3FLvMmvtZ7hkpAPwfeNu7C5bW+OohLlLcXLhvc7vs+rn93HWpTNo1+9sC6oHyAwUc+Xj44ODgwMxMTG5zsfExBi0QKyLi4vR6qU0Ox/BuM3ZW2h/0HE4p0oGGeW9hDYKvZynWjX45Rfo1k09HjVKnabdoYNhAxRCCPF4ci3hyXsXKUO6bwmPsBkyN1kYxfjN86l84yIAR30rMKNVP40jEpbiqF9FZrTqC4A9CjPXfQ7Xr2sclciPs7MzDRs2zFWLSqfTERYWRtOmTTWM7NEE3bzMt2um4Zi589Oc4Bf5X7UWGkclzErXrpBVbF6ng169wIDL04QQQhhAZhIjycmVGybYrOJ6EW+Ss7ZKlhkoNkUSKMJggkb9SdCoPxncbTQvH9wIQLKTC+90GUmqo5PG0QlLMr/J82wNUnc+8Uu8SVjTTgR9uC7Xt8jCfISEhDB//nx++uknjh8/zqBBg0hKSmLAgAEA9OvXL1eR2dTUVP2W8qmpqVy+fJmIiAiD7rr2SOLi+H7FZLzvJgIQVrEx0zOTd0LkMnGiWkgWID4eunSBW7e0jUkIIYQqIwPOnwcyl9aYolaVnZ1+K2POnVMT7MImSAJFGFSZ29FM2zBLfzyx7dtEliijYUTCEil29rzfKYTYzG8Q2pz9j9f2rtU4KpGfnj17MmPGDCZMmEC9evWIiIhgw4YN+sKyUVFRXL16VX/9lStX9FvKX716lRkzZlC/fn0GDhxouqDT06F3byrdvATAqRJlGdZ5BDp7B9PFIDSRlewvUELW3h5+/hnq1FGPT5+GHj0gLc04QQohhHh0ly7p+2NTFJDNoq+1kpoKly+b7H2FtiSBIgzGOT2Nb9dMwzMlCYC11VuxvHZbjaMSlup60WJ80PE9/fHo8B9pcPm4hhGJBxk6dCgXLlwgJSWF3bt3ExwcrH8sPDychQsX6o+DgoJQFOW+W84d2IwpaNSfLAx+Hv73PwBuuXow8IXxJLq4m+T9hYUqWhTWrAEfH/X4779h6FBQFG3jEkIIW3fqlP6uKeqfZDlfLMd7nTxpsvcV2pIEijCY8ZvnUydanYJ/rpg/Y9sNke0exWMJr9iIucEvAOCky+CbNZ9CbKzGUQlL9+retby6fx0AafYODO42mqhiphtwCQsWFASrVoGzs3o8bx58/rmmIQkhhM07ckR/91RJ021GcsqnbPbB0aMme1+hLbPchUdYjqwp0F2OhfP1gfUA3HV0ZnC30bJlsTCI6a36Uf/yCYIvHSUgIZYtTdrx6kuTUOzsC7abhhAA69YxPseOO6Pbv8POcnU0DEhoqVC787RoAT/+CK+8oh6PHAkVKkD37kaIUAghxEPlSKCc9DFlAiXHe+WIQVg3mYEiHluV6+cJ3fCN/nj8M29z3LeChhEJa5Jh78A7XUZy3d0bgNbn9jNs+xJtgxKWac8e6NkTh8wdd2Y17cnvssxQFEafPjBpknpfUdTjHTs0DUkIIWxWZvJChx1nSgSa7G1P55yBIgkUmyEJFPFYvO4kMH/lFIqk3QVgea22LK/zrMZRCWtzzaME73YZSYad2mUN376Edqfkw4oogNOnoVMnSE4G4I9qLfmiZR+NgxLmpMDFZSdMgL6ZuzbdvQudO8v2xkIIYWo6nX75zEVvP+44u5rsrZOd3bjopRbM58gRqYllIySBIgosa4BZceRavlnzKeVuRwNw2K8i454dpHF0wlrtLFeHT1v31x9//ueXst5UPJqYGGjXTl8/Z2fZ2rzfKQTFTv4EisdgZwfffw9tM2cx3byp/p5duaJtXEIIYUsuXIAkdQOLUyZcvpPlZNYslMREmg9eaPL3F6Yno0dRaKPCF9DyQgQAse5evNV9LClOLtoGJazavCbdWVO9NQBFU+9wvsUz1B22tGDbkQrbcvs2dOgA586px7Vr82b3caQ6OmkaljBvjzwbxdkZVqyAevXU46goaN9eTaYIIYQwutdHLNDfP2nCArJZchatrRJ7weTvL0xPEiiiUHoe3Mgb/60G1F0sBnUbzRVPX22DEtbPzo4PO7zDEb+KAATdvsqc1aE4ZaRpHJgwS8nJ8NxzcOCAely2LPzvf1LgWhiWp6e6JXZQkHp8+LC6XCwxUdOwhBDCFlS9np200GYGSvZ75oxFWC9JoIgCa3Y+gil/fas//qjtW/wXWEvDiIQtuevkylvPjyXW3QuAZlGHmLpxtqw7Fbmlpqq7omzfrh77+MDGjVC6tLZxCYvzSLNRSpWCv/4Cv8y18Lt2Qbduam0UIYQQRpNz1ofMQBGmIAkU8UiyBo9tB85h7upQnHQZAPzYsAu/1u+ocXTC1lz28uXN7uNIcVCXYfQ4/DefPflqwQpACuuVlga9e6sJE1BnCGzcCNWqaRuXsG6VK6tJFG9v9TgsDHr2VJN5QgghjKJKbBSgzoiPLG76L0kii5chPbOmWlYswrpJAkU8spKJN1nw+0d4pqiFmjZVasKUp1/XOCphq/aXrk5IpxD98citP9Pl2BYNIxJmIT1d3VJ25Ur12NUV1q2DBg20jUtYhYfORqlTB9avB3d39XjtWujVS03qCSGEMKz0dCreuAjAuWKlSXMwfX2zFEdnzhcLAKBybBRkZJg8BmFakkARj8TzbiI//zaBwLgYAI74VWRY5xHo7B00jkzYsj+rt+SzVv30x5//+QWtIvdpGJHQVHq6uq3s8uXqsbMzrFoFLVtqG5ewLU2bqokT18ytNFetUmdESRJFCCEM68wZXDLSgdxLaUwta+mQS0YanD2rWRzCNBy1DkCYr6xv2FzSUvhlxcdUv34egItefrz2wgSSnd00jE4I1bdPvETp+Gv0idiAky6Duas/oVu/okQEVAXg/LROGkcoTCItDfr1g6VL1eOs5En79gCytEsYXM7fqfv6mTZt1CRK586QkqLu1NO7NyxerP5uCiGEeHxHjujv6rcT1sApn3J0OplZc+3IEahSRbNYhPHJDBTxQI4Z6Xyz9lOaXDoGqNsV9+3xMdc8SmgcmRCZ7OwY/8wg1ldpBoB7WgoLlk+islRCtx0pKfDSS9nJEycn9QNrR6nPJDT0zDOwZg24uKjHK1bA88/DnTvaxiWEENYiRwLFHGagALliEtZJEigiX44Z6Xy99jOeObMHgARnN/q/9BHnNSjQJMSD6OwdGN55BNvL1QGg2N0EFi8bq18XK6xYcjJ06aJ+UAX1w+rKler2xUKYSL61Udq1U383s5bzrF8vWxwLIYSh5JqBol0CJdf2yZJAsXqyhEfkkjX4c9BlMHPd53Q8tQOAu47OvNl9HEdLVdIyPCHyleroxFvPj2PR0rHUjT5NyaTbLF46lift7PVJP1nOY4W6doU9apIXd3d12USbNtrGJERO7drBhg1qUi8xEf75R/0dXbcOSpbUOjohhLBcmcmKu47ORHmX0iyMC8X8SXFwUmugSALF6skMFHEfB10GM/78ks4n/gUgxcGRN58fy85ydTWOTIgHS3Rxp2/PyRzxqwiAX+JNliwZQ9DNyxpHJowmK3ni6aluISvJE2GOWreGv//O3uJ4zx5o3hzOndM0LCGEsFh378Lp0wCcLhGo6cYWGfYOnCkRqB6cOqUuLRZWSxIoIhfn9DRmr5nG88fCAUi1d+St58eytUJDbQMT4hHFuxbllZ6TOV4yCAD/xBssX/whVTOLIAsr5OcH4eHqB1IhNJbvcp7gYNiyBQLU7S45fRqaNYMDB0wfpBBCWLpDh0CnA+CUhgVks+jroGRkwOHD2gYjjEoSKEI/0KsesoLvV3xM+1M7AXXmyaDnRxNesbHGEQpRMLfdPOnTa6o+iVIy6TbLFo+ia78v8v5gIyxXhQqwYwfUr691JELc577+pk4d9fe1WjX1ODoaWrSA1as1iU8IISzWli36u/tLV9cwkMwYAqplH+SITVgfSaAIALzvxPPLb+NpdV79JizZyYXXX5hIWKVgjSMTonBuunvRq3coB/zV7Yy97yayaNk4Wp7br3FkwqA2bVKTKEJYinLlYNs2dfYJqIWQu3eHTz8FRdE2NiGEsBQ5khS7AmtrGEhmDGVzxCAJFKsmCRRB2VtXWfnLBzS6fByAeGd3+vaYzLby8o2usGxxbh680nMyO8qqu/MUTb3Dj79/xEuHNmkcmTAYHx+tIxDioe5b1lOiBISFwcsvq8eKAqNGQd++akJFCCFE/jIy4F+1VuN1d2/OliijcUBwpkQgse5e6sHWrWqMwipJAsXW7d7Nyl8/oMKtKwBcK1KM3r0/YV+ZGhoHJoRhJLm4M+DFiWys/AQATroMpv/vK75q3pugD9fJch4hhEnpkymTwuDXX2HKlOwHFy2Cpk3hzBntAhRCCDP33OvfQHw8ALsDa4GdncYRAXZ2aiwAcXF0Gjhb23iE0UgCxUYFjfqTDzq9R0rzlvgkxwFwqkRZnu/7uWxVLKxOipMLg7qNZkHDzvpzw3Ys5dvVobin3tEwMiGETbOzg7FjYcUKKFpUPXfoEDRqBKtWaRubEEKYqSeiDunv51o6ozF9AgV4IkoKyVorR60DEBpIS2Pi398xYN8f+lM7y9bmrefHEu9aVMPAhDAenb0DH7V9i4tepRi3+XvsUeh4agcVbl6GIfWhYkWtQxRGIDOMhDnL/v104fx//8Hzz8OJExAXp9ZFeftt+OILcHPTNE4hhDAnOZMTOZMWWsuZzJEEivWSGSg2JGjUnzwx+Cd2V6ifK3nyS/2O9OvxsSRPhE34sXFXBr4wnnhndwCqxV4grmZd3uw+Tj5sCyE0E7TwLDXbf8y6qi2yT86dq85GiYjQLC4hhDArGRk0uXQMgBtunpw2gy2Ms5z2KcsNN08AGl86qt9mWVgXSaDYkDZndvO/Be8QfOkoAKn2joxqN5Txzw4mzcFJ4+iEMJ3NlZrQrd8XnCmuFh3zSkli3qqpTPz7O7h7V+PohBC2KsnFnaFdP4T587NnnRw7Bo0bw0cfQVqatgEKIYTWDh7EMyUJMKP6J5kUO3v2ZM6I8b6bqC7JFFZHEihWLmjUn1QPWcHChp35YcVkit1NAOCyR0l6vRzK0nrtNY5QCG1ElihDt35fsL5KM/25Afv+4Fi5GrR/7RuZjSKE0IadHUFn/Gnz8hcc8y2vnktPh0mToEkT2C9bsQshbFjO7YvNqP5JFtnO2PpJAsXKNb54hP8teIdX96/Tn9tY+Qk6Dvia/aWraxiZENpLdHFncLfRjH12MCmZs7BqXDvH2p/eY8iOZeqHFiGE0MBZn0C69vuCr5v2JN0uc7gWEaHORhk2TL8DhRBC2JTwcP3d3WaYQMlVkyVHrMJ6SALFStV+7zcWNuzMssWjCbp9FYA7ji6Mf+Zt3np+LHFuHhpHKISZsLNjUf2OdO33BScz19E669IZ8e8vHC5Tjc79Z8psFCGEJtIcnPiiVV+e7/s5J3zKqSd1Ovj6a6hWDX75RdbYCyFsR0YGbN0KwE03T06ZUf2TLCdLluOWa+bnrK1bpY+2QpJAsTaKAosWsXn+W7y6fx32KAD8V7oGHQZ8zS8NnjOrtYJCmIsTvuXp3P8rZj/xEhmZ3/bWjjnLmp9DmPzXt3DrlsYRCiFs1WH/ynR+dSaftu7PHUcX9eTVq9CvH4dKV4V//9U2QCGEMIXwcLh9G4A9gTVR7Mzvo6xiZ8/uspmzUG7elGU8Vsj8futEoXXvO4P/AmvBK69QMuk2AMlOLkx+6nV6vhzK+eKltQ1QCDOX6ujE9Nb96f7KdP23vfYo9D2wnhulg5j4zNtUHrFa2yCFEDYpzcGJOU+8xDMDv2VTpSb683Wiz0CrVmyu2JjnXv1KwwiFEMLIvvtOf3dt9dYaBvJg66q1zD7IEbOwDnaKoihaB2Ep4uPj8fLyIi4uDk9PT63DyXbyJIwdCytW5Dr9vyrNmNxmIFc8fTUKTAjL5ZiRzqv71jJ8+xKKpt7Rnz9XzJ/yc2fCiy+CvfnkoM22fzKSR22vLL8S1qr5+QjGbf6e6tfP5zq/sfITfNO0J4f9K3N+WidtgrNxttQf21JbhcZiYqBMGUhP57q7N80GLzDbXUSd09PY+W1/StyJBycnuHQJfOXzmBaM0UeZz+hfFNyxY6yp8SS6atVzJU/OFC/Dqy9OYtDzYyR5IkQhpTs48n2T7rR9fQ5rcnzLUf7WVejZE+rUgWXL1PW4wqwEjfpTfxPCWm0PqkenV79iRId3ueRZUn++3eld/PHze/y6dCyv9JxC0Ifr5N+CEMLifdrzQ31x/99rtzXb5AmoM5qX126rHqSlEdrzQ20DEgYlM1AKwCyy7IqiFiT68ktYu1Y9znS9iDdftujDsjrPkmHvoE18Qlip2ldPM/afH3ji4pHcD1Spou6I0b8/FCmiTXCYSf9kQg9qr3xYFLbGOT2Nnoc2MnTnb/gl3sz12OkSgfzU4DlW1XyKJBd3AJmZYmS21B/bUluFhnQ6LpQoTbnb0QC0enM+UcX8NQ7qwcrdusKWeW8CcN7bn6Abl8xq5rKtMEYfJQmUAtD0j0RiIixdCnPmwP79uR664ebJ/Cbd+aV+R/3gSAhhBIpCq3P7GbZ9CQ2vnMj10G3Xoni/MwgGDlSTKiZma4NYSaAIcT+X9FS6H9nMW7tX6Hfgy5Lo7Ma6ai1ZXrst+0pX1xeUl2SK4dlSf2xLbRUa2rQJnn0WgK1B9enXc7LGAT2aX5eOpcWFg+rB339DmzbaBmSDjNFHORrkVYRx6HSwYwf8/DMsWaImUXK4WrQEPzbqyq/1O3LH2VWjIIWwIXZ2bK3QkK3lG9D8wkGG7lxG06jDAHjfTYTp09Vb69bw2mvQrRvIgFIIYSIpjs4sqdeeZXWeof2pnfTf9wfBl44CUDT1Dr0O/UWvQ38RWSyAP6q34o/qrfJNOEpiRQhhNnIUYl1cr72GgRTM4nodshMo330nCRQrITNQCsAkWXadDvbsgZUr1RknFy/ed8nBUpX5oXFX1ldtQbqD5MCE0FKNmEhe37uazse24qxLz/2gqys89xz06AHt24OHh9HisLVvAWUGihCPpvq1SPru/5POx7fikaMgdpaTPmXZVPkJ/q4UzEH/ynluCyrJlIKxpf7YltoqNPLff9C0KWRkcL2IN00HLbSYzz9OGWns+HYAJZNvg4MD7NoFjRppHZZNkSU8GjPaH4nbt2HzZti4Ua1rEh193yWJzm6srd6aJXXbcbhUJf3UWyGEeSieHEf3I2H0PvgXFW9euv8CZ2d4+mno1Emdhlq5skH/HdvaIFYSKEIUjFvqXTqc2s6Lh8N4Iuow9tw//Lvu7s32oLr8G9SAbUF1ifHweeTXlyRLNlvqj22prUIDCQlQvz6cPQvA9JZ9md2sp8ZBFcw725fw/rZF6kGlSmopBiN+oSZykwSKxgz2A7h1C7Zvh3//VQvC7tmjzjy5R7qdPVvLN2BNjdZsqvwEyc5ujxG9EMIkFIUGl0/Q5fgWnjvxLz7JcXlfV64cPPkktGyp3h4zoWJrg1hJoAhReL4JN+h0chvPHf+X+ldO5plMAbjgXYr/ytRkb+nqRARU5ZRPWXQFLFJvi4kVW+qPbamtQgP9+sEvvwBwwL8qL/X51GJmn2RxzEjn90UjqXf1lHqif39YuFDTmGyJJFA0VqgfwM2bcOgQHDwIe/eqyZJTp/K9/K6jM/8G1eevysH8XSmYW+5eBopeCGFqDroMnog6zDOnd/Hs6V0EJMTmf3Hx4tCkCTRurH7bUqcOlC//yBXbbW0Qe297JWkiROGUTLzFU2f/45kzu2kadYiieSzzyZLk5MpRvwoc81VvJ0uW40yJwEIVsLfmxIot9ce21FZhYr/8oiZQADw8aPnyl1z0LqVtTIVU9tZVti4JUWfUAPz6K/Tpo21QNkISKAYwe/Zspk+fTnR0NHXr1mXWrFk0adLkkZ6b7w/g7l24cEGdXnb2rJogOXECjh+Hy5cf+rqnSwTyb1B9tpavz+7A2lIQVghrpCjUuHaOFucP0PLcAZpcOopLRtqDn1O0KFSrBtWrQ9Wq6tTPChWgYkUoVizXjBWtB7EF7VuXL1/O+PHjOX/+PJUrV+bTTz+lY8eOj/x+kkARwvAcM9Kpf+UELc8dIPjSUepdOfnwfgq47FGSsyXKcKGYP+eLBXDB259LXr5c9vIlwaXw27tbapJF6/64MAo7PrbEtgozl5YGkyfDJ59ARgYA73YewdoarTUO7PF0PfoPX637XD1wcICxY2HcOHBy0jYwKycJlMe0bNky+vXrx9y5cwkODmbmzJksX76ckydP4uvr+9Dn638AAwfieeMGXLoEUVEQE/PoQTg7Q/36/Jjux57AmuwtU4PYIsUeo1VCCEvkkp5K7ejTNLl4lIaXj9Mm/jxcv/7oL1C0KAQGqrfSpYkvUQKvGTM0GcQWtG/dsWMHrVq1IjQ0lOeee47Fixfz6aefsn//fmrVqvVI7ykJFCGML6ufqnflJPWunKLe1VOUib9WoNeId3YnxqMEVz18uF60GNfdvblepBg3inhzy82TG+5e3HYtSpybBwnO7oVeymhOyRZLSyo8zvjY0toqzFjW7qPDhql1QjItq/0MH3YcpmFghjP9z5m8dOTv7BMNG8JXX6lFch9xxrEoGEmgPKbg4GAaN27MN998A4BOpyMwMJB33nmHUaNGPfT5+h8A8Ej/+4sXh5o1oW5dqFOHztuSOOEbRJqDZBqFEPdQFMrEX6P21dPMqeOkLv07fBjOnYNH6KbjAS/QZBBb0L61Z8+eJCUlsW7dOv25J554gnr16jF37txHek9JoAihDa87CdS4do4a1yKpFBtF5RsXqRIbhWdK0mO/doadPQku7iS4FCHBxZ1EZzeSnN1IcnIj2dmVZCdX7ji5ctfRmbtOztx1dCHFwYlURydSHJxJc3Ak1cGJFEcn0u0dSHNwIs3egQx7B9LsHcmwtyc98zjDzh6dvT0ZdvYc+KiD+o2wvX32f3PeCpjUsbSkwuOMjy2trUJjigIpKepSllu31Bn8586pZQ7++CP3RhqOjnz+RE++bdqDjALWXjJXDroMhuz8jZCdS/WzawAoVQq6dFETKuXLq3XyihdXvyxzcZHNQx6DMfooy6rC8xhSU1PZt28fo0eP1p+zt7enbdu27Ny5M8/npKSkkJKSoj+Oi1OLQcbnvMjfH8qUgbJl1V/48uXVKfZVq0KJEtSauFG97hhQ3BvS09SbEELcI8rVg6jyDSibAJSvDeXBOT2VcrevsuoZX3WQce4cnD+vzoC7dEkdiJDdL5k6J16YvnXnzp2EhITkOteuXTtWr16d7/vk2x/Hqy3XpSQXtglCiAK4Ze/A9lKV2F6qUvZJRaHY3XjK3oqm7O2rlI6PJSD+GqXjr+ObeINSCTdxy0h9+IsrOuzvJuJ1NxFTVoCLn/Xwa3SAgh0KoNjZqfftAOzQ2dmj2KmPg3b9cWEUtA/Pty8uQM0uYUVy/o7ndV9R1Ft6unpLS8tz44z7VK4M8+fz1eprkJby8OsthA6Y2agrAycPhDffhNOn1Qeio2HevLyfZG+vLvNxdFRvdnbZCZWciZX87tu4+MzfN0P2xzaTQImNjSUjIwM/P79c5/38/Dhx4kSezwkNDeWjjz6673xgzoOrV9Xbf/8ZMFohhMh2FvD69dGuvXHjBl5epvvoUZi+NTo6Os/ro/PYwj1Lvv1xYGAeVwshTO0icEjrIIwux4fCHIf5MXV/XBgF7cPz7Ytv3jRajMIGnT6t7lRopbxmFuBinU79sizFehJJWjBkf2wzCZTCGD16dK5vSW/fvk25cuWIiooy+z+Ijys+Pp7AwEAuXrxoE1Mybam90lbrFBcXR9myZSlevLjWoRiF9Me28XssbbVettRea+6PpS+2jd9hsK32SlutlzH6Y5tJoPj4+ODg4EDMPQVfY2JiKFUq7y2xXFxccHFxue+8l5eXTfzCAXh6etpMW8G22itttU72Jp5CXZi+tVSpUgW6HqQ/Btv6PZa2Wi9baq+p++PCKGgfLn2xbf0Og221V9pqvQzZH5t/z24gzs7ONGzYkLCwMP05nU5HWFgYTZs21TAyIYSwXIXpW5s2bZrreoBNmzZJXyyEECYm42MhhCgYm5mBAhASEkL//v1p1KgRTZo0YebMmSQlJTFgwACtQxNCCIv1sL61X79+lC5dmtDQUACGDRtG69at+fzzz+nUqRNLly5l7969zMuvgJoQQgijkfGxEEI8OptKoPTs2ZPr168zYcIEoqOjqVevHhs2bLivcFZ+XFxcmDhxYp5TF62NLbUVbKu90lbrpGVbH9a3RkVF5Zo62axZMxYvXsy4ceMYM2YMlStXZvXq1dSqVeuR31N+ttZJ2mq9bKm9ltbWxxkfW1pbH4cttRVsq73SVutljPbaKZawx5oQQgghhBBCCCGEhmymBooQQgghhBBCCCFEYUkCRQghhBBCCCGEEOIhJIEihBBCCCGEEEII8RCSQBFCCCGEEEIIIYR4CEmg3GP27NkEBQXh6upKcHAwe/bseeD1y5cvp1q1ari6ulK7dm3Wr19vokgfX0HaOn/+fFq2bEmxYsUoVqwYbdu2fej/G3NS0J9rlqVLl2JnZ0e3bt2MG6CBFbS9t/P4B6oAAPykSURBVG/fZsiQIfj7++Pi4kKVKlUs5ne5oG2dOXMmVatWxc3NjcDAQN577z3u3r1romgLb+vWrXTu3JmAgADs7OxYvXr1Q58THh5OgwYNcHFxoVKlSixcuNDocZpCYf89W5rQ0FAaN26Mh4cHvr6+dOvWjZMnT2odltFNmzYNOzs7hg8frnUoRnP58mVeeeUVSpQogZubG7Vr12bv3r1ah2VwGRkZjB8/nvLly+Pm5kbFihWZPHky1rJ/wcP6ZUVRmDBhAv7+/ri5udG2bVtOnz6tTbCPQcbGebP0sTHY1vhYxsb5k7FxASlCb+nSpYqzs7Py448/KkePHlXeeOMNxdvbW4mJicnz+u3btysODg7KZ599phw7dkwZN26c4uTkpBw+fNjEkRdcQdv68ssvK7Nnz1YOHDigHD9+XHn11VcVLy8v5dKlSyaOvOAK2tYs586dU0qXLq20bNlS6dq1q2mCNYCCtjclJUVp1KiR0rFjR2Xbtm3KuXPnlPDwcCUiIsLEkRdcQdu6aNEixcXFRVm0aJFy7tw5ZePGjYq/v7/y3nvvmTjyglu/fr0yduxYZeXKlQqgrFq16oHXR0ZGKu7u7kpISIhy7NgxZdasWYqDg4OyYcMG0wRsJIX992yJ2rVrpyxYsEA5cuSIEhERoXTs2FEpW7askpiYqHVoRrNnzx4lKChIqVOnjjJs2DCtwzGKmzdvKuXKlVNeffVVZffu3UpkZKSyceNG5cyZM1qHZnBTp05VSpQooaxbt045d+6csnz5cqVo0aLKV199pXVoBvGwfnnatGmKl5eXsnr1auXgwYNKly5dlPLlyyt37tzRJuBCkLGxdY6NFcW2xscyNpaxsaIYbmwsCZQcmjRpogwZMkR/nJGRoQQEBCihoaF5Xt+jRw+lU6dOuc4FBwcrb731llHjNISCtvVe6enpioeHh/LTTz8ZK0SDKUxb09PTlWbNminff/+90r9/f4v5A6EoBW/vnDlzlAoVKiipqammCtFgCtrWIUOGKE8//XSucyEhIUrz5s2NGqehPcofiZEjRyo1a9bMda5nz55Ku3btjBiZ8T1u32XJrl27pgDKli1btA7FKBISEpTKlSsrmzZtUlq3bm21CZQPP/xQadGihdZhmESnTp2U1157Lde57t27K3369NEoIuO5t1/W6XRKqVKllOnTp+vP3b59W3FxcVGWLFmiQYSFI2Nj6xwbK4ptjY9lbCxjY0Ux3NhYlvBkSk1NZd++fbRt21Z/zt7enrZt27Jz5848n7Nz585c1wO0a9cu3+vNRWHaeq/k5GTS0tIoXry4scI0iMK29eOPP8bX15fXX3/dFGEaTGHau3btWpo2bcqQIUPw8/OjVq1afPLJJ2RkZJgq7EIpTFubNWvGvn379FMZIyMjWb9+PR07djRJzKZkqf3Tgxii77JkcXFxAGbf7xbWkCFD6NSp032/t9Zm7dq1NGrUiJdeeglfX1/q16/P/PnztQ7LKJo1a0ZYWBinTp0C4ODBg2zbto0OHTpoHJnxnTt3jujo6Fy/z15eXgQHB1tMfyVjY+scG4NtjY9lbCxj4yyG6p8cDRmUJYuNjSUjIwM/P79c5/38/Dhx4kSez4mOjs7z+ujoaKPFaQiFaeu9PvzwQwICAsx+oFuYtm7bto0ffviBiIgIE0RoWIVpb2RkJJs3b6ZPnz6sX7+eM2fOMHjwYNLS0pg4caIpwi6UwrT15ZdfJjY2lhYtWqAoCunp6bz99tuMGTPGFCGbVH79U3x8PHfu3MHNzU2jyArPEH2XpdLpdAwfPpzmzZtTq1YtrcMxuKVLl7J//37+++8/rUMxusjISObMmUNISAhjxozhv//+491338XZ2Zn+/ftrHZ5BjRo1ivj4eKpVq4aDgwMZGRlMnTqVPn36aB2a0WWNBS1xnJhFxsbWOTYG2xofy9hYxsZZDDU2lgSKKLBp06axdOlSwsPDcXV11Tocg0pISKBv377Mnz8fHx8frcMxCZ1Oh6+vL/PmzcPBwYGGDRty+fJlpk+fbtZ/JAojPDycTz75hG+//Zbg4GDOnDnDsGHDmDx5MuPHj9c6PCHyNWTIEI4cOcK2bdu0DsXgLl68yLBhw9i0aZPV/U3Ji06no1GjRnzyyScA1K9fnyNHjjB37lyrS6D89ttvLFq0iMWLF1OzZk0iIiIYPnw4AQEBVtdWYduseWwMtjc+lrGxjI0fRBIomXx8fHBwcCAmJibX+ZiYGEqVKpXnc0qVKlWg681FYdqaZcaMGUybNo2///6bOnXqGDNMgyhoW8+ePcv58+fp3Lmz/pxOpwPA0dGRkydPUrFiReMG/RgK87P19/fHyckJBwcH/bnq1asTHR1Namoqzs7ORo25sArT1vHjx9O3b18GDhwIQO3atUlKSuLNN99k7Nix2Ntbz6rG/PonT09Pi5x9Ao/Xd1myoUOHsm7dOrZu3UqZMmW0Dsfg9u3bx7Vr12jQoIH+XEZGBlu3buWbb74hJSUlV/9k6fz9/alRo0auc9WrV2fFihUaRWQ8I0aMYNSoUfTq1QtQ+9wLFy4QGhpq9QmUrD4pJiYGf39//fmYmBjq1aunUVQFI2Nj6xwbg22Nj2VsLGPjLIYaG1vP/5HH5OzsTMOGDQkLC9Of0+l0hIWF0bRp0zyf07Rp01zXA2zatCnf681FYdoK8NlnnzF58mQ2bNhAo0aNTBHqYytoW6tVq8bhw4eJiIjQ37p06cJTTz1FREQEgYGBpgy/wArzs23evDlnzpzR/yEEOHXqFP7+/mb7BwIK19bk5OT7/hBk/XFUrGRbzSyW2j89SGH7LkulKApDhw5l1apVbN68mfLly2sdklG0adPmvn63UaNG9OnTh4iICKtKnoDa5967HfWpU6coV66cRhEZT359bs6/N9aqfPnylCpVKld/FR8fz+7duy2mv5KxsXWOjcG2xscyNpaxcRaD9U8FKjlr5ZYuXaq4uLgoCxcuVI4dO6a8+eabire3txIdHa0oiqL07dtXGTVqlP767du3K46OjsqMGTOU48ePKxMnTrSordoK0tZp06Ypzs7Oyu+//65cvXpVf0tISNCqCY+soG29lyVVGVeUgrc3KipK8fDwUIYOHaqcPHlSWbduneLr66tMmTJFqyY8soK2deLEiYqHh4eyZMkSJTIyUvnrr7+UihUrKj169NCqCY8sISFBOXDggHLgwAEFUL744gvlwIEDyoULFxRFUZRRo0Ypffv21V+ftVXbiBEjlOPHjyuzZ8+2mm2MH/QztyaDBg1SvLy8lPDw8Fz9bnJystahGZ0178KzZ88exdHRUZk6dapy+vRpZdGiRYq7u7vy66+/ah2awfXv318pXbq0fhvjlStXKj4+PsrIkSO1Ds0gHtYvT5s2TfH29lbWrFmjHDp0SOnatatFbmMsY2PrGxsrim2Nj2VsLGNjRTHc2FgSKPeYNWuWUrZsWcXZ2Vlp0qSJsmvXLv1jrVu3Vvr375/r+t9++02pUqWK4uzsrNSsWVP5888/TRxx4RWkreXKlVOA+24TJ040feCFUNCfa06W9AciS0Hbu2PHDiU4OFhxcXFRKlSooEydOlVJT083cdSFU5C2pqWlKZMmTVIqVqyouLq6KoGBgcrgwYOVW7dumT7wAvrnn3/y/DeY1b7+/fsrrVu3vu859erVU5ydnZUKFSooCxYsMHncxvCgn7k1yevnDVjNz/FBrDmBoiiK8scffyi1atVSXFxclGrVqinz5s3TOiSjiI+PV4YNG6aULVtWcXV1VSpUqKCMHTtWSUlJ0To0g3hYv6zT6ZTx48crfn5+iouLi9KmTRvl5MmT2gZdCDI2Vlnb2FhRbGt8LGNjlYyNH39sbKcoVjY3RwghhBBCCCGEEMLApAaKEEIIIYQQQgghxENIAkUIIYQQQgghhBDiISSBIoQQQgghhBBCCPEQkkARQgghhBBCCCGEeAhJoAghhBBCCCGEEEI8hCRQhBBCCCGEEEIIIR7CUesALIlOp+PKlSt4eHhgZ2endThCCKGnKAoJCQkEBARgb2/9uXHpj4UQ5sqW+mPpi4UQ5swY/bEkUArgypUrBAYGah2GEELk6+LFi5QpU0brMIxO+mMhhLmzhf5Y+mIhhCUwZH8sCZQC8PDwANQfgKenp8bRCCFEtvj4eAIDA/X9lLWT/lgIYa5sqT+WvlgIYc6M0R9LAqUAsqYmenp6yh8JIYRZspUp1NIfCyHMnS30x9IXCyEsgSH7Y+temCmEEEIIIYQQQghhAJJAEUIIIYQQQgghhHgIWcIjhCllZMDZs9m3pCQICoKKFaFqVbCB9dJCCCGEEEKYjRUrwM4OunfXOhJhAWxqBsqcOXOoU6eOfp1m06ZN+d///qd1WMIWXL4MkyZB2bJqoqRjR3jnHRg1Cnr1gsaNoUQJ9f6WLaAoWkcshBBCCAu2detWOnfuTEBAAHZ2dqxevTrX46+++ip2dna5bu3bt9cmWCG08uef8OKL8MILIJ8LxSOwqQRKmTJlmDZtGvv27WPv3r08/fTTdO3alaNHj2odmrBWN25A//5Qrhx89BFcuZL/tWlpsGwZPPkk1KkDW7eaLEwhhHUJGvWn/iaEsE1JSUnUrVuX2bNn53tN+/btuXr1qv62ZMkSE0YohBnI+Tsvv//iEdjUEp7OnTvnOp46dSpz5sxh165d1KxZU6OohNVauxbefBNiYrLP2dtD+/ZQty5UqgRFi0JkJJw6BX/8AbGx6nVHjqiJlOHDYepUcHPTogVCCAsiyRIhRE4dOnSgQ4cOD7zGxcWFUqVKmSgiIcxMejqsX599vH69utzewUG7mITZs6kESk4ZGRksX76cpKQkmjZtqnU4wpqkpcHQoTBvXva5YsXUJTtvvAFlyuT9vJQUdQ3ml1/C3r3qMp4vv1Q787VroUoV08QvhLAYj5I0yXnN+WmdjBmOEMLChIeH4+vrS7FixXj66aeZMmUKJUqU0DosIUxjxw64dSv7+MYN2LkTWrTQLiZh9mwugXL48GGaNm3K3bt3KVq0KKtWraJGjRp5XpuSkkJKSor+OD4+3lRhCkt15w707KnOJsnSqZOaTAkIePBzXVzg5ZfV58+cCWPHqkmVkyfVjnzjRqhf36jhCyGEEMI2tG/fnu7du1O+fHnOnj3LmDFj6NChAzt37sQhn2/gZWwsrErO8XrOc5JAEQ9gpyi2Va0yNTWVqKgo4uLi+P333/n+++/ZsmVLnkmUSZMm8dFHH913Pi4uDk9PT1OEKyxJfDx06aIWgQVwdoY5c2DAALWydx4e+M3w8eNqMuXwYfXY0xPWrYOWLY0RvbBw8fHxeHl52Uz/ZGvtzclQS3VkNooQxmGO/ZOdnR2rVq2iW7du+V4TGRlJxYoV+fvvv2nTpk2e18jYWFiVatXULyrtM8uC6nTquePHtY1LGIwx+mObS6Dcq23btlSsWJHvvvvuvsfyyrIHBgbKHwlxv6QkePpp2LNHPS5aFNasUc9R8A88+g82t2/Dc8/B9u3qsasr/PWXJFHEfcxxwG5MttbenIxR60SSKUIYjjn2T4+SQAEoWbIkU6ZM4a233srzcRkbC6tx+nT28vgWLdSl81nj7dOn1VqFwuIZoz+2uSU899LpdLn+EOTk4uKCi4uLiSMSFicjA/r0yU6elCgB//sfQSuuwV+P+UHH21tNmLzwAmzYAHfvQrdusGsXVK78uJELIYQQQgBw6dIlbty4gb+/f77XyNhYWI2cy3c6d86dQPnjD3jvPW3iEmbPprYxHj16NFu3buX8+fMcPnyY0aNHEx4eTp8+fbQOTViykSPV2SagLrPZvBkaNzbc67u7q6//7LPq8c2b0LGjWuhKCDMxe/ZsgoKCcHV1JTg4mD1ZCcU8rFy5kkaNGuHt7U2RIkWoV68ev/zyiwmjFUII65eYmEhERAQREREAnDt3joiICKKiokhMTGTEiBHs2rWL8+fPExYWRteuXalUqRLt2rXTNnAhTCFHAqXNaU/anPbK8zEh7mVTM1CuXbtGv379uHr1Kl5eXtSpU4eNGzfyzDPPaB2asFRz58IXX6j3HRzo2/4D/l18ERZffKyXzWuKvkeN1zl85Yq6xfGZM/D887Bpk1p8VggNLVu2jJCQEObOnUtwcDAzZ86kXbt2nDx5El9f3/uuL168OGPHjqVatWo4Ozuzbt06BgwYgK+vrwzc8yFbFAshCmrv3r089dRT+uOQkBAA+vfvz5w5czh06BA//fQTt2/fJiAggGeffZbJkyfLDBNh/W7dgn//BeBcMX/OFld3yDzv7U/Q7avqY7dvqzPBhbiHzddAKQhzXNMqNLR3LzRtqu4hD/DddwRFljbqW54fVAuCgyEmRj3x3nvZCRxh07Tsn4KDg2ncuDHffPMNoC6NDAwM5J133mHUqFGP9BoNGjSgU6dOTJ48+ZGut7X+2JQJFKmHIsTjsaX+yZbaKqzIqlXQvTsA3zfqypQ2bwAwPmw+r+9dk33NQ2oGCfNnjD7KppbwCGEwCQnQu3d28uS99+DNN43+tkFzjtCl3YekOGROHvvyS7U2ihAaSU1NZd++fbRt21Z/zt7enrZt27Jz586HPl9RFMLCwjh58iStWrXK97qUlBTi4+Nz3axd0Kg/9TchhBBCGMjZs/q7h/yr6O8fzHGfyEhTRiQsiCRQhCiMd95Rl9EAEf6VqeTQ2mQfcg75VyH0ydeyT/Tvnz0jRQgTi42NJSMjAz8/v1zn/fz8iI6Ozvd5cXFxFC1aFGdnZzp16sSsWbMeuJwyNDQULy8v/S0wMNBgbRDgeTeRlw5tYtaaT+GJJ6B0aXBygoAA9bhnT/jhB3XasxBCCGHJoqL0dy95Zi81vuxZMs9rhMjJpmqgCGEQS5bATz+p94sW5d3OI0l3MO0/pYUNOzPJ9TL8+Sdcu6YmUdavz97HXggz5+HhQUREBImJiYSFhRESEkKFChV48skn87x+9OjR+vX7kL11png8DS4d5+09K2gduReXjPT7L7h6Vb3t3g2//QaDBkH79jBihGynLoQQwjLlSI5cyZE0uerpk+c1QuQkCRQhCiI6Wv0AkeXbb4k6Wtz0cdjZ0aDCy2wosgPfpFuwcSPMmwdvv236WIRN8/HxwcHBgZh7ZkHFxMRQqlSpfJ9nb29PpUqVAKhXrx7Hjx8nNDQ03wSKbJ1pWGXiYhgVvpDnTvyb5+PXi3gT6+5NdYe7ar+XJS1N3Z3gjz/U7dU/+wwqVDBR1EIIIYQBZCZH0u3suVa0mP50TNESZNjZ46DoJIEi8iVfVwtREMOGQVwcAGuqtyZIi+RJppvuXrzfKcce9R9+CFeuaBaPsE3Ozs40bNiQsLAw/TmdTkdYWBhNmzZ95NfR6XSkpKQYI0SRk6Lw+n+rCZv/dq7kybUixfixYRe6vzKdKu+vovHQX+nw2jfq7JO7d9UZKO+9py7pybJiBVSvDtOng9SjF0IIYSkykyPRHiXQ2TvoT2fYOxBdtESua4S4l8xAEeJRrVunTmEHbrp5Mqmt8YvGPsy/5RvwW+229Dj8N8THw7vvwu+/ax2WsDEhISH079+fRo0a0aRJE2bOnElSUhIDBgwAoF+/fpQuXZrQ0FBArWfSqFEjKlasSEpKCuvXr+eXX35hzpw5WjbD6rmn3uGz/32dK3ES6+7FFy1fYVmdZ8nIMYjMxcUFmjRRb9Onw8KFMGaMunwwNRVGjoRdu2DBApBdOIQQQpiz5GS4cQPIvXwnyxXPkpROuA7Xr8OdO+DmZuoIhZmTBIoQjyIhAQYP1h9Ofnogt9y9NAwo2ydPvUaP6INqR79iBaxZA127ah2WsCE9e/bk+vXrTJgwgejoaOrVq8eGDRv0hWWjoqKwz1GfJykpicGDB3Pp0iXc3NyoVq0av/76Kz179tSqCWbDWMWoy926wvwVU6hyI/sbtR8adWVmi5dJcCny0Hj0Wxs7OMDrr8NLL8HkyTBjhnp+5Uo4elTtf6pWNUobhBBCiMd28aL+bn4JFC5nHly6BJUrmygwYSkkgSLEoxg/PrvDfeYZVtV8Stt4crjt5sm7T/Tn6z8yP8gMGQJPPw0eHtoGJmzK0KFDGTp0aJ6PhYeH5zqeMmUKU6ZMMUFUAqDijYssXjoWv8SbAMQ7u/P+cyFsqvxE4V/U01OdjfLkk/DKK3D7Npw8Ca1bQ1gY1KxpkNiFEEIIg8qngGyW+wrJSgJF3ENqoAjxMEePwjffAHDH0YWWFXqCnZ3GQeW2tnprtpRvoB5cvgyffKJtQEIIs1ApNoqlS0brkyenSpSla/8vHy95klOnTrB3L9SurR7HxMBTT8GhQ4Z5fSGEEMKQciVQfO97WLYyFg8jCRQhHkRR1MKJGRkAfNO0Bxe9899ZRDN2dox7djApWdspf/EFREZqG5MQQlOVr19g6ZLRlEy6DcARv4r06DONc8VLG/aNKlaELVugUSP1+Pp1dRbcwYOGfR8hhBDiceVMoHj43PfwFUmgiIeQBIoQD7JuHWzaBMAlT1++b/K8xgHl76J3KX5o3E09SE2FEf9n777DmyrbOI5/013oYLeUVUA20jLLBgGZMlQUFGUo+qqgYlUERUBEC4iAA0GRpcgQBWSJIFCG7ELZe5XVltnSFjrP+8dp0xTa0pHkZNyf68rlOelJ8ovA6cmd57mfDzXNI4TQTum428xbOpZSCeqqYYd8H+PFvl9wx91ETV6LF1fPlUFB6v7Nm9C1qzoiTgghhLAUeemBks2xQmSQAooQOUlKgvff1+9++cQrJDq5aBjo0aY3fR7SG3eybBk80HtCCGH73JLvM2vZOHUVAdTiyUt9xhPr5mHaFy5WDNavzyyiXL0K3btDXJxpX1cIIYTIq0f0QLnqKSNQRO6kgCJETr7/Hk6fVrdbtWJtjRba5smDeNciWfufDBumn34khLB9OiWNKaunEHhNPXdd9irNq8+OKXTxxH/EGv0tV15esGoVVK6s7h84AC++KOchIYQQliGjKOLpSWw2q9DFuHlA0aJZjxXCgBRQhMjO7dvqEp1AGjq6VXnW4hrH5qTyydIc8amq7hw8CL/+qm0gIUSu8lycyINh2xfR9dQOAO66uPNq7zFc9yhe6OfNl9Kl1emP3ulLva9aBZ98Yt4MQgghxIMUhcRzFwA46Vo8+2t7nY7TbiUAuHf2gtoPUQgDUkARIjuTJqnLcgJ/1m3PUd/HtM2TD4rOgc/bDc68Y8wYSEzULpAQwixaXAjn7R2LAUjVOfB2j484WdpfmzC1a8Mff4BTemPriRNh7VptsgghhBAA16/jmpoMwDXPh6fvZMiY2uOekqj29BLCgBRQhHjQtWvwzTcAJDo6MbXVixoHyr/dFR9nc5WG6k5EBMycqW0gIYRJlY67xbRVk3FA/aZscuuXCa3ayCSvlecRMx06qIWTDP37w+XLJskkhBBCPNIjGshmuCKNZEUupIAixIM+/xzu3QPg1/rdsl0j3hp81XpA5s4XX8Ddu9qFEUKYjENaKt+smkzphDsAbK7SkJlBz2obKsN776mNZEH9Fu+FFyAlRdtMQggh7JNBT5MruRRQrhkubyx9UMQDpIAihKEzZ2DWLHXbw4Mfmj2vbZ5COOZThZW1Wqs716/D1KnaBhJCmMSbu/6gecQhACI9SvB+t2AUnYX8etfpYN48qFBB3d++Xd9fSgghhDCrR6zAk/kzgy9PpYAiHmAhV1hCWIgxY/Tfjk4N6MGtIt4aByqcr1u9RLKDo7ozeTLcuKFtICGEUdWKPse7/y0C1L4n7/QYbnnnrRIlYMkScEw/F33xBYSFaZtJCCGE/clzAUWWMhY5kwKKEBmOHYNF6geRm+5e/Ny4l7Z5jOBicT+W1Ouo7ty9C19/rW0gIYTROKcmM3nNNFzS1KLvjKa92VOhrsapctCsGYwapW6npsKAAdLcWgghhHnlcQrPFSmgiFxIAUWIDJ9/rl+qbGZQb+Jdi2gcyDi+b9aHRMf0lTC++05GoQhhI4bs/J060ecAOFGqEt82f0HjRI/w8ccQGKhuHz0Kn32maRwhhBB2Jr0hbBo6ojxL5nhYpGEPFGkiKx4gBRQhQB19smSJul26NAvqd9U2jxFFepVicUAndSc+XkahCGED6kSdZcjO3wFIdnDk/W7vkeTkbPYceV6RB8DFBebPB+f0nBMnwp49pg0ohBBCZEgfTXLdozjJjjn/zkxycuZ60WJZHiNEBimgCAEwbpx+9AnDh3PPxU3bPEY2I+g59cMLqKNQrl/XNpAQdi5fhYcHOKSlErLuO5zTUgGY3ux5jvo+ZuyIplGvntprCiAtDV57DZKTtc0khBDC9iUmwrVrAFz1zHn6Tgb9NJ6rV+X3lMhCCihCHD0Kv6vf5FK6NLz5prZ5TCDSqxTz6z6p7sgoFCGsWv/9a6gXeQZQp+5Mt7bVwj76KHMqz6FD8M03msYRQghhB65cydzMpf9JBn2RRVGyPFYIKaAIYdD75Is63fH/PFTTOKYyI+i5zF4o338vvVCEsEI+d2/w/rZf9fsfdxqa6zBki+TkBD/+qC5xDOqIFBkiLYQQwpTyuAJPtsfI7yhhQAoowr6dPKkffXKjiLdN9T550EO9UKZN0zSPECL/xvz7E55J9wBYGNCJ/eVraZyogJo0yRztl5AAb7+tbR4hhBC2zWAUSZYmsTm4ZnjM5cumSCSslBRQhH2bMEE/+uTnxk/bXO+TB80M6k2Sg8EolJgYbQMJIfKs7dm9dD21A1ALvhPbDNQ20APy3dflyy/B11fdXrkS/vrLdOGEEELYt8hI/Wa0R/FHHn7do0TmTlSUKRIJKyUFFGG/Ll4k+Rd1KHyMa1GbHn2S4ZpXaZbVbafuxMTA9OnaBhJC5IlLSjJjNv6k3//iiVeJcffUMJEReHtnHQk3bBjcu6dVGiGEELbMoIByvWgeCiiGxxg8VggpoAj7NWmSfhWLeQ17EOdaRONA5jGjaW9Sdeo//ZvjJ6rTeYQQJleYlXcGhf1F5dvq6gG7y9dheZ0njB1PG88/D+3bq9sXLkiDayGEEKaRzwJKtBRQRA6kgCLs07VrMHs2APHObsxt1F3jQOZzsbgfq2u2AqDkvViYNUvjREKI3JSOu8XbO5YAkKpz4LMO/8tswGrtdDp1FR5HR3U/JAQuXdI2kxBCCNtjWEDJ0xQeKaCI7EkBRdinKVPU9eCBX+t35Y67l8aBzGt6s+cyd776Sv//QghheUZsmYdHeuPYRQGdOOZTReNEj5av0TZ16sBbb6nbCQkwfLhpwwkhhLA/6UWQ+04u3HV59KjzWNeimatXSgFFGJACirA/t27BzJkAJDo6M7vx0xoHMr9Tpf35p1pTdefqVfj119wfIITQRODVkzx7ZBOg9mr6utVLGicykc8+g5Il1e3Fi2HbNm3zCCGEsC3pRZDrRYvnbRSnTpc51UcKKMKAFFCE/fnhB4iLA2BJvY55GsZni35omjkK5dzwMVQZvlLDNEKIhygKow0ax37d6iVuF/HWMJAJFS8OX3yRuR8cDGlp2uURQghhO5KT4cYNAK4XLZbnh93IKKBcvw4pKSYIJqyRXRVQQkJCaNy4MZ6enpQpU4ZevXpx8uRJrWMJc0pI4OaXXwGQonPgpyb2N/okw0G/GvxXqR4AVW5fpdOpnRonEkIY6nZiOw2uqr+jTpeswG+2vlLY4MHw+OPq9r59sGiRtnmEsHJbt26le/fu+Pn5odPpWLFiRZafK4rC6NGjKVu2LO7u7nTo0IHTp09rE1YIU4qO1m/mpYHsQ8cqilpEEQI7K6Bs2bKFIUOGsGvXLjZs2EBycjIdO3YkXlYhsR9z5qiNU4HVtVpxuZivxoG0NSMocxTKm7v/UH9BCCE055KSzEdb5un3v3ziFVIdHLULZA6OjjB5cub+yJGyrLEQhRAfH09AQADTp0/P9ueTJk3i22+/ZebMmezevZuiRYvSqVMn7t+/b+akQphYPlfgyfZYmcYj0jlpHcCc1q1bl2V/3rx5lClThrCwMFq3bq1RKmE2yclZLs5nBvXWMIxl2O4fyGGfqjwedZZ6kWdg40bo0EHrWELYvQFhq6gYEwXA9koBbK7SSONEZtKxI3TuDOvWqavxTJumFlKEEPnWpUsXunTpku3PFEVh2rRpjBo1ip49ewLwyy+/4OPjw4oVK+jbt685owphWlJAEUZkVyNQHhQTEwNAiRIlNE4izGLxYrh4EYBNVRpxokxljQNZAJ2OGQa9UAgJ0S6LEAKA4gkxvL1TXbY4DR1ftHvVdpYtzovJk8Eh/fIkJCTL0GshhHGcP3+eyMhIOhh8aeLt7U1QUBA7d8qUXmFj8rmEcbbHSgFFpLOaAkpKSgpRUVHEpTf/LKy0tDSGDRtGixYtqFu3brbHJCYmEhsbm+UmrJSiwKRJ+t0ZTWX0SYZ11ZtxvnhZdWfTJti7V9tAQti5oTt/xytRnVr6x+PtOV7G8pctzk2+ljQGdVnjwYPV7bt31RV6hBBGFZn+YdDHxyfL/T4+PvqfZUeujYVVKvAIlGLZPoewbxZRQElKSiI1NTXbn4WFhdGlSxc8PT3x8/PD29ub6tWr8+233xbqNYcMGcKRI0dYvHhxjseEhITg7e2tv1WoUKFQryk0tHYtHDkCQJhfTfaWr6NxIMuR5uDIT02ezbzDoNAkRF5Nnz4df39/3NzcCAoKYs+ePTkeO2vWLFq1akXx4sUpXrw4HTp0yPV4a5bf4kH5O5G8vF899p6Tq+0uW/wo48ZB0aLq9k8/gTS2FMIiyLWxsEoyhUcYkUUUUNzd3Xn99dcfun/t2rW0bNmSf/75h5SUFHx9fSlSpAhnzpzhvffe46WXCnZhOXToUFavXs3mzZspX758jseNHDmSmJgY/e3SpUsFej1hASZO1G/ObNrbvobD58Gyuu0yq+x//ikfVkS+LFmyhODgYMaMGcP+/fsJCAigU6dOROcw9SI0NJQXXniBzZs3s3PnTipUqEDHjh25cuWKmZNbng+2/YpLmrpU4uzGPYnyLKVxIo34+MAHH6jbKSnwySfa5hHCxvj6qk30o6KistwfFRWl/1l25NpYWKUCFlCiDY5dvf6AUSMJ62URBRRFUVAeWP0jPj6eAQMGkJSUxMcff8zNmze5cuUKsbGxrF69Gl9fXxYtWsTy5cvz9TpDhw5l+fLlbNq0icqVc++B4erqipeXV5absEI7d8K2bQCcKVGefx9ronEgy5Po5MLchj3UHUVh4XPvaBtIWJUpU6bw2muvMWjQIGrXrs3MmTMpUqQIc+bMyfb43377jbfeeovAwEBq1qzJzz//TFpaGhs3bjRzcstSJ+osvY5tAeCWuxc/Bj37iEfYuPffhzJl1O2lS8FGRykJoYXKlSvj6+ub5bwbGxvL7t27adasWY6Pk2tjYY327Dqm375hOC3nEQyLLaXjbxszkrBiFlFAyc6yZcu4efMmL7/8MuPHj9efoHU6HV27dmXhwoUoipLjBXp2hgwZwoIFC1i4cCGenp5ERkYSGRnJPVkm0bYZjD75MegZFJ3F/rXX1IL6Xbnr4g7As0c2ylBFkSdJSUmEhYVlaUTo4OBAhw4d8tyIMCEhgeTkZLtv6P1R6Dz99vfN+nDXtah2YUwkX1OaPD1hzJjM/eHDZal1IfIhLi6O8PBwwsPDAbVxbHh4OBEREeh0OoYNG8b48eNZuXIlhw8fpn///vj5+dGrVy9NcwthbBnFjxjXoiQ6ueT5cYnOrsSm/y4uJQUUkc5iP0keOHAAnU5HcHBwtj9v06YNgYGB7Nu3L8/POWPGDGJiYmjbti1ly5bV35YsWWKs2MLSnDgBf/0FQKRHCf6q/YTGgSxXrJsHCwPV5Q5dU5OhkH2GhH24ceMGqamp+W5EaOijjz7Cz88vSxHmQbbeuLDl+QO0vqAOD77k7cOC+l01TmQhXnsNHntM3d6yRe1nJYTIk3379lG/fn3q168PQHBwMPXr12f06NEADB8+nLfffpvXX3+dxo0bExcXx7p163Bzc9MythBGVzr+DpC/6TsZMh5TOk4KKEJlsQWUhIQEAKpVq5bjMdWrV+fWrVt5fs6MqUIP3gYOHFjYuMJSffWVfnN2o14kOTlrGMbyzWnUgyQHJ3Xnhx/Axj6kCsszYcIEFi9ezPLly3O9aLflxoU6JY3hW+fr9ye3eknOVRmcneHLLzP3R46EtDTt8ghhRdq2bZvtde+8efMAdVT3uHHjiIyM5P79+/z7779Ur15d29BCGFtcHB5J6myD/CxhnCGjR6BXUgKkfz4V9s1iCygVK1YEICYmJsdjkpOT8fDwMFckYW2uXIFffwUg1rUoiwI7axzI8kV5lmJ5nfRROjEx6uoXQuSiVKlSODo65rsRIcDkyZOZMGEC69evp169erkea8uNC7uc3EG9yDMAHCtTmZW122icyML07g2NGqnbhw/DokXa5hFCCGE9CthANtvHyPR2gQUVUP744w+qVKmiv33zzTcAHElfejY7R48efeQFurBj06ZBcjIAv9bvSpxrEW3zWImfgp4hDXWVosjPQqj+wQptAwmL5uLiQsOGDbM0IsxoCJtbI8JJkybx+eefs27dOhplfDjOha02LnRKTeGDrb/o9ye1HiB9mh6k08GECZn7n34KSUna5RFCCGE9pIAijMxirtLi4uK4cOGC/nb9+nUUReG3337L9vh9+/Zx6tQpGjZsaOakwircucPdb6cDkOjozNxGPTQOZD3OlqzAhmpBAPjG3aLnsc0aJxKWLjg4mFmzZjF//nyOHz/Om2++SXx8PIMGDQKgf//+jBw5Un/8xIkT+fTTT5kzZw7+/v76ht5xcXFavQXNPHf4X6rcvgrA7gp1Ca1iP7/T8tVQtn17yOiRc/68jI4TQgiRN4UtoHhIAUVk5aR1AFC/rcyvs2fPMmDAAPr27WuCRMLqzZyJZ/p8xz8eb8+NApww7dnMoN50Or0LgP/tXgZpU8HBYuqtwsL06dOH69evM3r0aCIjIwkMDGTdunX6xrIRERE4GPz9mTFjBklJSfTu3TvL84wZM4axY8eaM7pJ5KkgALgl3+fd/xbq9ye2GaCOthDZCwmBf/9Vtz//HAYOBJnGK4QQIjcyAkUYmUUUUAqiT58+9OnTR+sYwhLdv69O3wHS0DGr8dPa5rFCB8rVZHf5OgRdPspjty7DqlXQs6fWsYQFGzp0KEOHDs32Z6GhoVn2L1y4YPpAVmDA/tX4xqmN0NdXa8r+crU0TmThGjWC556DpUshOhqmTlWn8wghhBA5yVJAKZbvh0sBRTxIvlIWtueXXyC9oeXfNZpzoUQ5jQNZp5lNDUYHTJwIiqJdGCFsjNf9ON7auRRQC71ftXpZ40RWYvx4cHRUtydPhps3tc0jhBDCshkWUAq0Co8UUERWUkARtiU1NcvSxTODeudysMjN5iqNOFGqkrqzcyds26ZtICFsyP92/4l3YjwAy+q243TpShonshLVq8Mrr6jbsbFZm8sKIYQQD5IpPMLILLqAMm7cOFauXKnf/+uvvxg3bpyGiYSlG/LMJ3BGXQ70v0r1OFy2msaJrJhOl2UUyuZBwXnu7SCEyFnpuFu8sk/93Zbo6MS0li9qnEh7+WooO3o0uLmp2999B5cvmzacEEII65Ve9EjVOXDLPf8r+N0s4kVqxup4UkARWHgBZezYsaxYsUK/v2LFCj777DPtAgnLpii8ufsP/e4PTZ/XMIxtWF2zFZe9ygDwxLkwakWf0ziRENbv7R1LcE9JBOC3wK5c9vbROJGVKV8e3n5b3U5MBLkuEEIIkZP0osfNIt6kOTjm++FpDo7cKuKV5bmEfbPoAooQ+bJhA3WjzgJw0Lca/1UK0DiQ9UtxdOLHoGf0+2/s+lPDNEJYv4q3r/HCwXUAxLm4M72ZFHoLZMQI8PZWt+fOhZMntc0jhBDC8qSl6fsiFmT6Tgb9YyMjpSegkAKKsCEGc+FnNO0ty4EaydLHO3CjiPpB5akT2+CcjEIRoqDe37YA57RUAGY36sXNAqwIIIASJWD4cHU7NRVGjdI2jxBCCMtz6xakpABGKqAkJ8Pt28ZIJqyYFFCEbdi9GzZvBuBsiXKsr9ZU40C2476zG3Mb9gDAUUnL0qRXCJF3taPO0fP4FgBuunsxq4kssV4o774LPunTn/74A/bu1TaPEEIIy2Iw5Sa6ACvwZJBGssKQFFCEbQgJ0W/+2OTZAs1xFDn7tUE34lzc1Z25c+HaNW0DCWGFhm+Zr9+e3qwPca5FNExjufLcULZoUbWhbIaRI00bTAghhHUxuF69UYgRn1mKL3INbPekgCKsXqdXp8NffwFwzaMkK+o8oXEi2xPr5sGCwC7qTmIiP/YaKivyCJEPTSMO0fZ8GACXvUqzoH5XjRPZiNdeg6pV1e2NG2HDBm3zCCGEsBxXr+o3ozxKFvhpoouWyPY5hX2SAoqwekN2/q7f/inoGZKcnDVMY7tmN36aREf1/+1LB9ZS7F6sxomEsBy5jppQFD4KzRx9MrXlS3KeMhZnZ/j888z9kSPVpoFCCCHElSv6zchCFFAiPQ0ea/Ccwj5JAUVYt9On6XZiOwA3inizKKCTxoFs13WP4iwO6AhA0eT7DNq3UuNEQliHTqd2Uv+aukrMyVIVWV6nrbaBbE2fPhAYqG6HhcHSpZrGEUIIYSEMih1RnoUYgeJhMAJFCih2TwoowrpNmKA2NgVmN+7FfWc3jQPZth+DniU5vb/MwLBVEBOjcSIhLJtjWirDt2aOPvmq9QDp0ZQPeeqH4uCQpQ8Wn3wCSUmmDyeEEMKyZZnCUyKXA3OXZQSKTOGxe1JAEdbr4kX45RcAYlyL8mv9bhoHsn1XvcqwrE47ALwT4+GHHzROJIRl63NoPVVvqd9W7Slfm38fa6JxIhvVqRO0U89NnD0LP/2kbR4hhBDaSx8tkoauUMsYRxctQRq6LM8p7JcUUIT1mjRJv7b7vIbdZUULM5nRtDepuvRTx5QpEB+vbSAhLJR70n2GbV+o35/QZhDodBomsmE6HUycmLk/bhzESp8mIYSwa+nFjhtFi5Hi6FTgp0lxdOJmUe8szynslxRQhFVq+tZ8En9Uv2GMc3FnbqMeGieyHxdKlGN1zVbqzo0bMGOGtoGEsFCD9y6nTPxtANZVb8b+8rU0TmTjGjVS+6EAXL8Okydrm0cIIYR2UlIgMhJ4YApOAemb0F67BqmphX4+Yb0suoAyYMAAWrZsqd9v2bIl/fv31zCRsBRv7P4D11R19MkvDbpxx91L40T25dvmffVDGa+P+YJawX9qnEgIy1Iy/g7/27MMgBSdA5NaD9A4kZ344gt1ZR6Ar79WL3SFEELYn6go/apshVnCWP90GT1UUlMhOrrQzyesl0UXUObOncsrr7yi33/11VeZO3euhomERbhyhRcOrgMg3tmNWY2f1jiQ/TlbqgJraqrFzdIJd+gXvlbjREJYlmH/LcQj6R4ASwI6cq5keY0TWb88NZStWhXeeEPdTkiA0aPNE04IIYRlMVIDWf1zSCNZkc6iCyhCZGviRIPRJ09xu4i3xoHsk+EolP/tXqZ+WBFCUPXGJV4IzyzyTmvRT+NEdmb0aPBKH5U4Zw4cPqxtHiGEEOZn0KvEqFN4HnhuYX8K3k3HDBISEti3bx/Xrl0jMTExx+NkWo8duXpVv7pCgrMrs5rI6BOtnC5dibU1W/LUiW2UTrgDP/4I772ndSwhNDcydA5O6curz2jam+seBe/8LwqgVCl1KeOPPlKHb3/wAfzzj9aphBBCmJNBkcMYU3iyFGGkgGLXLLaAMnr0aKZOnUpCLt9qK4qCTqeTAoo9mTAB0otpv9Tvxi0ZfaKpb5v34akT29SdiRPh9dehaFFtQwmhoWYXD9Lh7F4ArnmU5OfGvbQNZK/eeUddZv3iRVi/Xi2gdOqkdSohhBDmYuQRKNEyAkWks8gCyqRJkxg/fjyOjo5069aN6tWr4+npqXUsobWLF9VRDqT3PmnyjMaBxKnS/qyu2UotokRFwfffq9/6CmEHHuzFoVPS+GTzHP3+5Nb9ue/sZu5YdsHw//2FCd0ePsDNDUJC4MUX1f0PPoD27cHJIi97hBBCGNmfq3bzbPp2pJFHoCz9azfPjS/0UworZZFXErNmzcLd3Z1t27bRoEEDreMIC7Gk+2v0SUoCYG6jHtwsWkzbQAKAqS1epMvJ/3BU0rgzdjytr/lzaFofrWMJYXa9D2+kbtRZAI6WqcKyuk9onMjO9ekDU6fC3r1w5AjMng3/+5/WqYQQQphBmbu39NtRRu6B4hN3s9DPJ6yXRTaRvXTpEm3atJHiich06hTPHtkIQKxrUX6S0ScW42ypCqyo0xaAYvfjeHXvCk3zCKEFj8QEhm+dr98f324wis4if8XaDwcHtYCSYdQouHNHszhCCCHMxze9yHHPyZVY18JPL49x8+C+kwsgBRR7Z5FXd76+vhSVPgrC0Jgx+qaMPzV5mlg3D40DCUPTWrxIsoMjAK/u+wuuX9c4kRDmNWTn75SOvwPA39Wbs7NSPW0DCVWLFtC3r7p94waMG6dtHiGEEGbhc1ctckR6lgCdrvBPqNPpl0P2vSsFFHtmkQWUvn37EhoaSnx8vNZRhCU4dAgWLwbgprsXcxv20DiQeNClYr4sqdcRAI+ke2pDWSHsRKXbV3ll3woAEh2d+fKJV7QNJLKaOBHc3dXt776DEye0zSOEEMK04uLwSlIXIjHGCjwZMqbxeCfGQy4LnQjbZpEFlLFjx1KrVi169OjBmTNntI4jNOQ/Yg2bnn5Vv/9D0+eIdy2iYSKRk++a99EPbeT77yEiQttAQpjJJ5vn4JqaAsDPjXtxqZivxonsi/+INfpbtipWhOHD1e2UFAgONl84IYQQ5mfkFXgyRMlSxgILbSLbtWtX0tLSCA0NpVatWlSqVIny5cvj4PBwvUen07Fx40YNUgpzaHbxIO3O7QPgimdpFtTvqnEikZMoz1LMa/AUb+xZBomJ/NltEM8eln+bwra1Or+fjqd3ARDlUYIfmj6ncSKRreHD1Sayly/D33/DqlXQvbvWqYQQQpjC1av6TVOMQNG/RrVqRntuYT0ssoASGhqq305NTeXcuXOcO3cu22N1xpjTJixTWhojQ+fqd79u/RKJzq4aBhKP8kOz5+l7aD3F7sfx9JHNEB4OgYFaxxLCJFxSkvlsw0z9/sQ2A2SEnKUqUgQmT87sh/Luu9ChQ+bUHiGEELbDYHSIMQsoGT1QHnwNYV8ssoBy/vx5rSMIS7BkCfUi1Slcx8pUZkXtttrmEY8U6+bBd8368Onm2TigwEcfwT//aB1LCJN4bc8yqtxWv+XaU742y+q00ziRMJzGc2FCt6w/fP55+PFH2LwZzp+HCRPgs8/MnFAIIYTJyRQeYUIW2QOlUqVK+brl1datW+nevTt+fn7odDpWrFhhujchCicxET7+WL8b0nYQaemrvAjL9muDp7jk7aPurF+v3oSwNRcuMHTn7wCk6BwY/eSbxunyL0xHp4Pp08Ep/bujiRNB+qwJOzd27Fh0Ol2WW82aNbWOJUThGBZQjDmFRwooAgstoJhKfHw8AQEBTJ8+Xeso4lG+/x4uXABgq399tlVuoG0ekWdJTs581fpl/f7xl/5HleErNUwkhPFkNCtd3/EF3FMSAZjfsDsnylTWOJnIk1q1MpvIJibC22+DomibSQiN1alTh2vXrulv27dv1zqSEIVjOIXHiCNQshRjpIBit+yqgNKlSxfGjx/P008/rXUUkYtGby8g9uPRAKShY0LbQRonEvm1qlZrDvqqjbVqXb/ACwdlGo+tmz59Ov7+/ri5uREUFMSePXtyPPbo0aM8++yz+Pv7o9PpmDZtmvmCGkHHUzv1jWOjixZnast+GicS+fLpp1C+vLq9bh388Ye2eYTQmJOTE76+vvpbqVKltI4kROEYNJGN9ihutKeNfrCJrLBLdlVAya/ExERiY2Oz3ITpfbjlF/3a7YsDOnLMp4rGiUR+KToHxrV/Tb///rYFcPu2homEKS1ZsoTg4GDGjBnD/v37CQgIoFOnTkRHR2d7fEJCAlWqVGHChAn4+lrXkr8eiQlZGseObzeYOGkca5FyXN7YwwMMi3Zvvy3nJ2HXTp8+jZ+fH1WqVKFfv35ERETkeKxcGwurkD465EYRb5IdnY32tElOztxy98ryGsL+SAElFyEhIXh7e+tvFSpU0DqS7du7l+cO/wtArGtRJrfur3EgUVBh5WuzonYbAErci4UxYzROJExlypQpvPbaawwaNIjatWszc+ZMihQpwpw5c7I9vnHjxnz11Vf07dsXV1frWllr+Jb5lI27CcDmKg1ZWau1xolEgTzzDPTooW5HRanLHAthh4KCgpg3bx7r1q1jxowZnD9/nlatWnH37t1sj5drY2Hx0tLg2jXAuCvwZNCvxHP1qvpawu5IASUXI0eOJCYmRn+7dOmS1pFsW1oavPOOunoLMK3Fi9wq4q1xKFEYE9oMIiFj6ekffoAjR7QNJIwuKSmJsLAwOnTooL/PwcGBDh06sHPnTqO9jkV867ljBy8dWAtAgrMrn3Z8SxrHWquMhrKenur+zz/Dli3aZhJCA126dOG5556jXr16dOrUibVr13Lnzh1+//33bI+Xa2Nh8aKjISUFMO4KPBn0z5mcDDduGP35heWTAkouXF1d8fLyynITJvTrr7BL7StwumQFfmnQ7REPEJYu0qsU05s+r+6kpkrDRht048YNUlNT8fHxyXK/j48PkZGRRnsdzb/1TEyE117TF3i/bvUyl719HvEgYdHKl4eQkMz911+He/e0yyOEBShWrBjVq1fnTA4rVMm1sbB4hg1kTTACRRrJCimgCItQ/52F3HrzHf3+uPavkeLopGEiYSw/N3mai8XS+1yEhhLc/X1tAwmrpPm3nmPHwrFjABz0rcbcht3N+/qiUHLsh/Lmm9Csmbp96pTaYFYIOxYXF8fZs2cpW7as1lGEKJjz5/WbV72M3xD5qlfpbF9L2A+7KqDExcURHh5OeHg4AOfPnyc8PDzXZlnCPEaGzlX7ZACra7aSZYttSKKTC2M6vKHf/2TTbLh5U8NEwphKlSqFo6MjUVFRWe6PiooyaoNYTb/13LULJk0CIMnBiY+6vEOag6P5Xl+YjoODOn0noxfPlCkgS7gKO/LBBx+wZcsWLly4wI4dO3j66adxdHTkhRde0DqaEAVz6pR+83zxckZ/+gvF/bJ9LWE/7KqAsm/fPurXr0/9+vUBCA4Opn79+owePVrjZHZuyxaez2gc61KEzwxWbxG2IbRqI1bXbAVAyXux0rDRhri4uNCwYUM2btyovy8tLY2NGzfSLOObfWt27x4MHKhvFDet5YucKFNZ20zCuGrXhs8/V7cVRf3zjo/XNJIQ5nL58mVeeOEFatSowfPPP0/JkiXZtWsXpUuXfvSDhbBEp0/rN8+XMH4B5Zzhcxq8lrAfdjVHom3btijSf8GyJCbCG5mjEya1Hcj1jO7WwqZ81v41Wp8LU5eonjMHBgyA1rKCiS0IDg5mwIABNGrUiCZNmjBt2jTi4+MZNGgQAP3796dcuXKEpPebSEpK4lj6dJikpCSuXLlCeHg4Hh4ePPbYY5q9j2x98gmcPAlAeNnq/Bj0rMaBRGEZTuO5MCG911ZwMKxYATt2wNmz8NFH8P332gQUwowWL16sdQQhjMtgVMiF4safiiYjUIRdjUARFmj8eDhxAoADZWvwW2BnjQMJU7nuUYJJbQdm3jF4MCQkaJZHGE+fPn2YPHkyo0ePJjAwkPDwcNatW6dvLBsREcG19CUFAa5evaofDXjt2jUmT55M/fr1GTx4sFZvIXv//gtTpwKQ6OjM+13fI1Wm7tgmR0eYNw/c3dX96dPh7781jSSEEKIA0osakR4lSHBxN/rTx7sWIbpo8SyvJeyLFFCEZnoMmErKF18CkOzgyMjOQ1F08lfSlv0W2Jkwv5rqzunTzGktc6xtxdChQ7l48SKJiYns3r2boKAg/c9CQ0OZN2+eft/f3x9FUR66hYaGmj94Tq5fh5df1u9Oat2fs6XMvPKPMK9q1fS9bgB1lJwRV5ISQghhYrdv65cWNsX0nQz6546OhpgYk72OsEzyaVVo4/59Jq+ZhpOi9hX4rnlf6StgBxSdAx92HcZ9JxcAXglbCVu2aJxKiAcoCgwapP/wvNW/PnMa99Q4lDCFh1bnGTIEuqVP67l+XS2ipPe/EUIIYeEM+5+YoIFshnOG03ikD4rdkQKK0MaYMVS/qa5+dMj3MX5o+pzGgYS5nCtZnq9a98+8Y9AgiIvTLpAQD/ruO1iT/oG6TBne7xYso+PshU4Hc+dCxhKu69frp3EJIYSwcFlW4PHL5cDCuVBC+qDYM7kiFOa3fTtMngxAoqMTH3QdRoqjXfUztntzGvVgd/k66s758/D++9oGEiLDnj3w4YeZ+/Pmcd2juHZ5hPmVLg2//qoWUwBGjFCbywohhLBsJl6BR//cxWUlHnsmBRRhVgHvLuZq16cNlgTtx6nS/tqGEmaXMZUnwdlVveOnn3ir10htQwlx/To8+ywkJan7wcHQpYu2mYTZZJnO0769uhIPQEoKPPec9EMRQggLt3JpqH77fAnTjUAxXMp4xe+bTfY6wjJJAUWYj6Iwee00/O6qzZ12VajLj02e0TiU0EpE8bKMbf8//f6Ev79VR6MIoYWUFOjbFy5fVvdbtIAJE7TNJLT1+efQtq26ffUq9OkDycmaRhJCCJGzyreuAJCqcyCimK/JXudSMV/S0KW/5lWTvY6wTFJAEebz3Xc8eWY3ALfcvXi3+wekyZKgdu33ek/yV602AHglJagfYDO+/RfCnEaNgk2b1G1fX1i6FJydtc0kNOM/Yg3+o/6hUd1XoVz6N41bt2aOShFCCGFZFAX/22ox47J3GZIdTfc7PNHJhSveZQCofPuq2nxe2A0poAjz2Ls3S1+B97u9R5RnKQ0DCYug0/FJpyFcKJbesHHPHrXfgBDm9MsvMHGiuu3kpBZPMpqICrt2o2jxrMW0qVNh9mxtQwkhhHhYVBSeSfcA067AkyGjSa1XYrw6BVjYDSmgCJNrPHQB19p10Y8s+LlRTzZXbaxxKmEp4lyL8HaP4SQ5pDcSnjoVFizQNpSwH1u3wuDBmftTpkDLlg8vbyvsV7Nm8O23mftvvJE5WkkIIYRlMFyBx4T9T7J9DVmJx65IAUWYVlISP6wIoWzcTQD2lqvNxLYDtc0kLM7hstUY1+F1/f79Qa9CWJiGiYRdOH0ann46s6/FW2/B0KHaZhKW6Y034N131e2UFLXZ8IkT2mYSQgiRyXAFHhMuYZz5GrISj72SAoowrbffpvGVYwBc8yjJW71GmnROorBeCwK7sDCgEwBuKUnQqxdERWkbStiuqCjo2hVu3VL3O3WCb77JXLpWiHQZI5GquLSDbt3UO+/cUVdouirNA4UQwiJkGYFihik8hq8hI1DsihRQhOl8/TX89BMA951ceP2ZUVz3KK5xKGGxdDrGPPkG+8rVUvcvX4YePSA+XttcwvbcuaMWTM6cUffr1IElS9T+J0LkIM3BERYtgoAA9Y4LF6BjR7h5U9NcQgghMHsB5ZwUUOyWFFCESbzT40P44AP9/ojOb3O4bDUNEwlrkOzozJu9PuaaR0n1jj172FSvrSwdKownPl4dRXDwoLpfoQKsXQve3trmElbB/4utNGkRzCVvH/WOo0fVkUxxcdoGE0IIe5c+jSbR0YmrZlio4qpX6cz+fTKFx65IAUUY37//MnnNNP3u1y37saLOE9rlEVblukdxBj7/GbGuRQFod24f/O9/skScKLyEBLXnyY4d6n7p0vDvv1Cxora5hFWJ9ixJvz7j1eWuQV09TEbLCSGEdlJT9aNKLxbzU0cMmvolHRyJKJb+e+D0aUhLM/lrCssgBRRhXDt3wtNP45KWAsBvgZ35rnlfjUMJa3OytD+vP/MJiY7plf25c9VlsKWIIgoqLg6eego2bFD3vbzgn3+genVtcwmrFFG8LJ26juKOm4d6x+bN0LkzxMZqG0wIIezRpUuQmAiYZwWeDPqpQvfvqxmEXZACijCenTvVvgLpQ5nXV2vKp0++KU0ZRYHsqliP9576gDTS//58/TUMHy5FFJF/sbHqh9vNm9V9T0/4+2+oX1/bXMKqnSztz4DnMkfLsX272hPlzh1NcwkhhN3Zu1e/eaZkBbO9bJbX2rfPbK8rtCUFFGEcO3dyt217uHsXgG2VAnm7+4dmGUInbNfami35uNOQzDsmT5YiisifyEho1w7++0/dL1ZMnbbTvPlDh2astuI/Yo15MwqrddCvBi/0/YLbbp7qHbt3Q9u2sjqPEEKYU8YXJMCeCnXN9rK7K9TJNoOwbVJAEYW3YQN07Ihn0j1ALZ689uwoEp1dNQ4mbMHiwM6M6DQ0847Jk2HoUHW+qxC5OX4cmjaFsDB1v2RJ2LQJmjTRNpewKUd9H6PviyHcKJLeiPjgQa7UDKTjq9O1DSaEEPYivXiRonPIXM3RDPaVr0OKziFLBmH7pIAiCufXX7OsQJBRPLnv7KZxMGFLHiqi/PAD62q3gnv3tAslLNvmzeook4sX1f0KFWDLFpm2I0ziZGl/nn9xon51nnJ3r/PHguGZPXeEEEKYRmQknDgBwKGy1Yh3LWK2l45zLcIR38fUnWPHIDrabK8ttCMFFFEwigITJkD//pCiNoxdX60pg5/9VIonwiQWB3YmuNt7JKdPC+t8aid06AA3bmicTFgURVH75Tz5ZGYvivr1YdcuqFMn14cKURjnSpbn6Zcnc9C3GgBeSQmkdurMxLYDZdqhEEKYSmiofnNnxXpmf/ksr2mQRdguKaCI/IuLgxdegJEj9Xf9Wr8rb/QaKdN2hEktq9ueV3qPIc7FXb1jxw5o2DBzioawb3fvwvPPwwcfZE7x6tJFHXniZ76u/MJ+3ShanL4vhLDhsSAAHJU0PtoyH555BmJiNE4nhBA2yKBosavi42Z/+SyvKQUUuyAFFJE/p06pPQWWLNHfNal1fz598k1pGCvMYlvlBvR5IYToosXVOyIiSAxqBrNnaxtMaGvHDggMhD/+yLzvk09g1Sp11R0hzOSeixuvP/MJ01q8kLmK2IoVXKpUg+f7TdQ2nBBC2JizS1cDkOzgyL5ytc3++nvL19b3QTmzZJXZX1+YnxRQRN4oCvz8s/pt/9GjAMS6FOG1Z0bxQ7PnZaliYVZHfR+j+4CphPnVBMA1NRkGD4YXX4RbtzROJ8wqKUktlLRqBefOqfd5ecFff8H48eAohV1hforOgWkt+/FK79HEpC9zXCEmisULRzIz6Fmqf7BCVnsSQojCunqVqreuAHCwbHXuuZi/jUCCizuHyqpTNx+7dRmuXTN7BmFeUkARjxYZCd27w2uv6ZvFnipZkZ4DprKhWlONwwl7FeVZir4vhjC/QbfMOxctgscfh3/+0S6YMK8WLeDLLyEtTd1v3hz274cePfL0cFm6WJhSaNXGdBv0LbvLq/13HFB4Y88y/p77Ns0vhGsbTgghrJ3G/U+yfe0tWzTLIcxDCigiZ6mpMH061KoFazI/XCyq15Fe/b/mfIlyGoYTApIdnRnz5Ju83f1D/be8XL0KnTtDv37qtrBtp06p/3VyUgspW7dC1araZhLCwGVvH1544UtC2g4k0dEJgKq3LrNwySj+qt2WoCHzpYAnhBAFYbB08E4N+p9kvrZBAUWWM7Z5TloHEBZq2zZ45x0ID9ffdb1oMT7q/A6bHmuiXS4hsrGqdhv2VKjDV2u/ofWFA+qdCxfCypUwdiwMHQqu0uDYZjVpAj/+qPZAEcICpTk48mNQb0KrNOLLdd/T8Kq65GbP41vodHon8xp2p96wOGLdPAC4MKFbbk8nhBAC9MWKJAcn9perqVmMsHK1SHJwwiUtRQoodkBGoIis9u1TV61o3TpL8eSPuu3p+Mp0KZ4IixXlWYr+z49jRKeh3HZLbxoaF6euyFKtGsyaBcnJ2oYUxjdtGuzcKcUTYRVOlvan90uTGN75Hf15yi0liTd2/8m2ma8ybPtvFE+IkallQgjxKCdOwNmzABzwq8F9Z/P3P8lwz8WNg2WrqzunT2eOjhU2SQooQm0Qu3mz2uekcWNYt07/o6NlqvBMv6/4oNt73C7irWFIIfJAp2NxYGeeeP1HFgZ0zlwB49IleP11qFkTvv9e38tH2IBBg8BBfpUJ66HoHPg9oCNPvP4jPzV+mkRHZwC8E+MZ9t8idsx4hbEbZlLl5mVA+vQIIUS2xo3Tb256rLGGQVQbDb9kNsgmbI9OURRF6xDWIjY2Fm9vb2JiYvDy8tI6TuHFxsLvv6sfKA8ezPKjy15l+KZFX5bVbU+qLE8srFSdqLMEb1tA+7N7s/6gWDF11Z5XX1WLKjbA5s5Pj1CY9ysfRIUl8YuN5t3ti3jm6Cac01Kz/GxnxcdZFNCZ9dWCHvp2Vab5WC57Oh/b03sVFuTQIQgIAOCmuxet//cz8a5FNI3kkZjA1h8HU+JerLo66aFDULeuppmEac5RUkDJB5v4JZGYCJs2qf0h/vwT7t3L8uMrnqWZ0ew5ltR7kuT0b8WEsHYNrhxn2PaFmf1RDDVtCi+/DE8/DWXLmj+ckdjE+SkfpIAibI1fbDSD96yg76F/KJKcmOVncS7ubHgsiNW1WrG9UiCJzll7OkkxxbLY0/nYnt6rsCA9e6p97oDPn3iV2U2e1jiQ6rXdy/gkdI6606sXLF+uaR4hBRTNWe0vichI2LhRXUln9Wq4e/ehQ8LLVufnxr1YV705KY7SW1jYpprR53ll31/0PBaKa2pK1h/qdNCsmfpL+ckn1W82rGhqiNWenwpICijCVhW7F8uzhzfy4sF1VL115aGf33NyZUelemyu2pidFR/nbIny6vkrG1JY0YY9nY/t6b0KC7F7t/rlF4CfHzX6fvdQUVkrrsmJbP3pNXzibql37NmjtkcQmpECisas4peEosC5c2pTxZ071dV0Dh/O9tA7bh78VbsNf9TtwGHfx3K8ABPC1pRIiKHX0VCeO7yBWtcvZH9QqVLQtq1aVGnWDOrXBzftGpQ9ilWcn4xICijC5ikKTS8dptfRULqc/A/vxPhsD7tetBi7y9cl3K86h8pW54hPVRJc3HN9aimsmJY9nY/t6b0KC5CSAh076le6+aTjW/xWv6vGobJ6af8axm+Yoe60awf//ANO8uW0VqSAYgTTp0/nq6++IjIykoCAAL777juaNMnbyjIW9UsiLQ2uXYOTJ9Uu1MePq31MDh2CmJgcHxbjWpR/H2vC+urNCK3SiEQnFzOGFsLCKAq1o8/T+eR/dDq9kxo3InI+1tFR7ZcSGKjOaa1RQ71VqWIRhRWtz0/5PbcuXbqUTz/9lAsXLlCtWjUmTpxI1655vwjK7/uVoomwZs6pybQ6f4COp3fxxLl9md9uZiMNHRHFfDlZuhKnSlXiQnE/zpfw42Kxstws4p3rlyVSWDEOrc/HBVHQ62NrfK/CSkVFQZ8+sGULABHePrR/babFtRxwTk1m06w3qBATpd7Rti0sWQJlymiay15JAaWQlixZQv/+/Zk5cyZBQUFMmzaNpUuXcvLkScrk4S+1yX9JKIq6Osjt2+rt+nW4cQOio9ViybVrcOUKXLyo3pKSHvmUqToHDvs+xnb/QP6rFMje8rVlio4QOfC/dYVWFw7Q8kI4zS4ewispIW8PLFsWKlWCChXAz0/d9/FRR7GULg0lSkDx4mrzWhN9C6HlRWx+z607duygdevWhISE8NRTT7Fw4UImTpzI/v37qZvHhmtSQBF2S1GoE3WWFhcP0jTiMI0vH8Uz6d6jH4c6/eeqV2mueJXmukdxoouW4HrR4twq4sUtdy/uuHsS4+ZBjJsHd12LPrKJvBRcsmdtRYXCXB9b23sVVujePfj3X3jzTfVzEJDk4MTrz3xCaFXLnB7zxNm9/LRsfGZj8PLlYcYM6NDBIr50sydSQCmkoKAgGjduzPfffw9AWloaFSpU4O2332bEiBGPfLz+D2DqVLxcXNRRIKmpmbeUFPWWnJx5S0pSb4mJ6u3+ffVEkJCg3uLj1aJJbKz639TUR+bIzVXPUhwvU5nwstXZX64WB8tWJ07jrtRCWCOHtFSq34igwdUTNLhygjpRZ3ns5qWHVsnItyJFwMsLPD2haFF1v2hRcHdXf6m6umbeXFzA2TnrzclJHQ2TcXNwAEdHYhMT8R42TJOL2PyeW/v06UN8fDyrV6/W39e0aVMCAwOZOXNmnl4zr78QpXAibJ1jWirVbkQQcO0UAddOUTv6HNVvRDzUiLYg7jm5EufqTryzO/ecXbnn7Mp9J1fuO7lw38mFJCdnkhzVW7KjE8kOTiQ7OpHi4EiqgyMpDo4M71Yn6zkr47xleNPpMv/74DZkbj+4n7GdIafRNfm9v5BiExLw7tfPaooKhbk+1p+Lf/sNryJyvSnyQVHUW1qaesv47HTvHty8qX6RfPy42o7g/v3Mx5UtyzPtgtlfvpZ22fOg4eVj/LlpqvoFeAY3N2jdWh3RXLo0lCypXv9lXOMZnhOltYJRmOJ8bDdDEZKSkggLC2PkyJH6+xwcHOjQoQM7d+7M9jGJiYkkJmZegMSkT42Jfe8904Z9hDhnN654leGqVykiivlyoUQ5LhQvy6mSFYlxz+YvRmIev0UXQuilAce8fTjm7cOCWm0AcE5Jpsqty1S5dQX/29fwv30Vv9hoyt29QZn423l74oziaWSkUfPGpv/X3DXxgpxbd+7cSXBwcJb7OnXqxIoVK3J8nRzPx7GxOT0EgDQ5/wkbZ3iuWlSzFQA6JY3yMVH681SlO9coHxNN2dgblL17nSIpjx7BCkBKIq4pibhyp8D5YrcW+KFWS6vzcUHk9xye47m4Xz/ThxV2b59fTT7oFsyNosUs/vPN3tL+NHjqMyavmUKjqyfUO+/fh/Xr1ZswC1Ocj+2mgHLjxg1SU1Px8fHJcr+Pjw8nTpzI9jEhISF89tlnD91fwSQJ8yH5PtyMUG9CCLM6p3WAR7h58ybe3t5me72CnFsjIyOzPT4yl6JSjufjCpqfkYWwSBHADq1D2Dlzn48LIr/ncIu9Nhb24eoJmPW61iny7BLQXusQAjDu+dhuCigFMXLkyCzfkt65c4dKlSoRERFh8b8QCys2NpYKFSpw6dIlqxh+Wlj29H7lvdqmmJgYKlasSIkSJbSOYhJyPraPv8fyXm2XPb1fWz4fy7nYPv4Og329X3mvtssU52O7KaCUKlUKR0dHoqKistwfFRWFr69vto9xdXXF1fXhdcW9vb3t4i8cgJeXl928V7Cv9yvv1TY5ODiY9fUKcm719fXN1/Eg52Owr7/H8l5tlz29X3Ofjwsiv+dwORfb199hsK/3K+/VdhnzfGz5Z3YjcXFxoWHDhmzcuFF/X1paGhs3bqRZs2YaJhNCCOtVkHNrs2bNshwPsGHDBjkXCyGEmcn1sRBC5I/djEABCA4OZsCAATRq1IgmTZowbdo04uPjGTRokNbRhBDCaj3q3Nq/f3/KlStHSEgIAO+++y5t2rTh66+/plu3bixevJh9+/bx008/afk2hBDCLsn1sRBC5J1dFVD69OnD9evXGT16NJGRkQQGBrJu3bqHGmflxNXVlTFjxmQ7dNHW2NN7Bft6v/JebZOW7/VR59aIiIgsQyebN2/OwoULGTVqFB9//DHVqlVjxYoV1K1bN8+vKX+2tkneq+2yp/drbe+1MNfH1vZeC8Oe3ivY1/uV92q7TPF+dYo1rLEmhBBCCCGEEEIIoSG76YEihBBCCCGEEEIIUVBSQBFCCCGEEEIIIYR4BCmgCCGEEEIIIYQQQjyCFFCEEEIIIYQQQgghHkEKKA+YPn06/v7+uLm5ERQUxJ49e3I9funSpdSsWRM3Nzcef/xx1q5da6akhZef9zpr1ixatWpF8eLFKV68OB06dHjk/xtLkt8/1wyLFy9Gp9PRq1cv0wY0svy+3zt37jBkyBDKli2Lq6sr1atXt5q/y/l9r9OmTaNGjRq4u7tToUIF3nvvPe7fv2+mtAW3detWunfvjp+fHzqdjhUrVjzyMaGhoTRo0ABXV1cee+wx5s2bZ/Kc5lDQf8/WJiQkhMaNG+Pp6UmZMmXo1asXJ0+e1DqWyU2YMAGdTsewYcO0jmIyV65c4aWXXqJkyZK4u7vz+OOPs2/fPq1jGV1qaiqffvoplStXxt3dnapVq/L5559jK+sXPOq8rCgKo0ePpmzZsri7u9OhQwdOnz6tTdhCkGvj7Fn7tTHY1/WxXBvnTK6N80kReosXL1ZcXFyUOXPmKEePHlVee+01pVixYkpUVFS2x//333+Ko6OjMmnSJOXYsWPKqFGjFGdnZ+Xw4cNmTp5/+X2vL774ojJ9+nTlwIEDyvHjx5WBAwcq3t7eyuXLl82cPP/y+14znD9/XilXrpzSqlUrpWfPnuYJawT5fb+JiYlKo0aNlK5duyrbt29Xzp8/r4SGhirh4eFmTp5/+X2vv/32m+Lq6qr89ttvyvnz55V//vlHKVu2rPLee++ZOXn+rV27Vvnkk0+UZcuWKYCyfPnyXI8/d+6cUqRIESU4OFg5duyY8t133ymOjo7KunXrzBPYRAr679kaderUSZk7d65y5MgRJTw8XOnatatSsWJFJS4uTutoJrNnzx7F399fqVevnvLuu+9qHcckbt26pVSqVEkZOHCgsnv3buXcuXPKP//8o5w5c0braEb3xRdfKCVLllRWr16tnD9/Xlm6dKni4eGhfPPNN1pHM4pHnZcnTJigeHt7KytWrFAOHjyo9OjRQ6lcubJy7949bQIXgFwb2+a1saLY1/WxXBvLtbGiGO/aWAooBpo0aaIMGTJEv5+amqr4+fkpISEh2R7//PPPK926dctyX1BQkPK///3PpDmNIb/v9UEpKSmKp6enMn/+fFNFNJqCvNeUlBSlefPmys8//6wMGDDAan5BKEr+3++MGTOUKlWqKElJSeaKaDT5fa9DhgxR2rVrl+W+4OBgpUWLFibNaWx5+SUxfPhwpU6dOlnu69Onj9KpUycTJjO9wp67rFl0dLQCKFu2bNE6ikncvXtXqVatmrJhwwalTZs2NltA+eijj5SWLVtqHcMsunXrprzyyitZ7nvmmWeUfv36aZTIdB48L6elpSm+vr7KV199pb/vzp07iqurq7Jo0SINEhaMXBvb5rWxotjX9bFcG8u1saIY79pYpvCkS0pKIiwsjA4dOujvc3BwoEOHDuzcuTPbx+zcuTPL8QCdOnXK8XhLUZD3+qCEhASSk5MpUaKEqWIaRUHf67hx4yhTpgyvvvqqOWIaTUHe78qVK2nWrBlDhgzBx8eHunXr8uWXX5Kammqu2AVSkPfavHlzwsLC9EMZz507x9q1a+natatZMpuTtZ6fcmOMc5c1i4mJAbD4825BDRkyhG7duj3099bWrFy5kkaNGvHcc89RpkwZ6tevz6xZs7SOZRLNmzdn48aNnDp1CoCDBw+yfft2unTponEy0zt//jyRkZFZ/j57e3sTFBRkNecruTa2zWtjsK/rY7k2lmvjDMY6PzkZM5Q1u3HjBqmpqfj4+GS538fHhxMnTmT7mMjIyGyPj4yMNFlOYyjIe33QRx99hJ+fn8Vf6BbkvW7fvp3Zs2cTHh5uhoTGVZD3e+7cOTZt2kS/fv1Yu3YtZ86c4a233iI5OZkxY8aYI3aBFOS9vvjii9y4cYOWLVuiKAopKSm88cYbfPzxx+aIbFY5nZ9iY2O5d+8e7u7uGiUrOGOcu6xVWloaw4YNo0WLFtStW1frOEa3ePFi9u/fz969e7WOYnLnzp1jxowZBAcH8/HHH7N3717eeecdXFxcGDBggNbxjGrEiBHExsZSs2ZNHB0dSU1N5YsvvqBfv35aRzO5jGtBa7xOzCDXxrZ5bQz2dX0s18ZybZzBWNfGUkAR+TZhwgQWL15MaGgobm5uWscxqrt37/Lyyy8za9YsSpUqpXUcs0hLS6NMmTL89NNPODo60rBhQ65cucJXX31l0b8kCiI0NJQvv/ySH374gaCgIM6cOcO7777L559/zqeffqp1PCFyNGTIEI4cOcL27du1jmJ0ly5d4t1332XDhg029zslO2lpaTRq1Igvv/wSgPr163PkyBFmzpxpcwWU33//nd9++42FCxdSp04dwsPDGTZsGH5+fjb3XoV9s+VrY7C/62O5NpZr49xIASVdqVKlcHR0JCoqKsv9UVFR+Pr6ZvsYX1/ffB1vKQryXjNMnjyZCRMm8O+//1KvXj1TxjSK/L7Xs2fPcuHCBbp3766/Ly0tDQAnJydOnjxJ1apVTRu6EAryZ1u2bFmcnZ1xdHTU31erVi0iIyNJSkrCxcXFpJkLqiDv9dNPP+Xll19m8ODBADz++OPEx8fz+uuv88knn+DgYDuzGnM6P3l5eVnl6BMo3LnLmg0dOpTVq1ezdetWypcvr3UcowsLCyM6OpoGDRro70tNTWXr1q18//33JCYmZjk/WbuyZctSu3btLPfVqlWLP//8U6NEpvPhhx8yYsQI+vbtC6jn3IsXLxISEmLzBZSMc1JUVBRly5bV3x8VFUVgYKBGqfJHro1t89oY7Ov6WK6N5do4g7GujW3n/0ghubi40LBhQzZu3Ki/Ly0tjY0bN9KsWbNsH9OsWbMsxwNs2LAhx+MtRUHeK8CkSZP4/PPPWbduHY0aNTJH1ELL73utWbMmhw8fJjw8XH/r0aMHTzzxBOHh4VSoUMGc8fOtIH+2LVq04MyZM/pfhACnTp2ibNmyFvsLAgr2XhMSEh76RZDxy1GxkWU1M1jr+Sk3BT13WStFURg6dCjLly9n06ZNVK5cWetIJtG+ffuHzruNGjWiX79+hIeH21TxBNRz7oPLUZ86dYpKlSpplMh0cjrnGv6+sVWVK1fG19c3y/kqNjaW3bt3W835Sq6NbfPaGOzr+liujeXaOIPRzk/5ajlr4xYvXqy4uroq8+bNU44dO6a8/vrrSrFixZTIyEhFURTl5ZdfVkaMGKE//r///lOcnJyUyZMnK8ePH1fGjBljVUu15ee9TpgwQXFxcVH++OMP5dq1a/rb3bt3tXoLeZbf9/oga+oyrij5f78RERGKp6enMnToUOXkyZPK6tWrlTJlyijjx4/X6i3kWX7f65gxYxRPT09l0aJFyrlz55T169crVatWVZ5//nmt3kKe3b17Vzlw4IBy4MABBVCmTJmiHDhwQLl48aKiKIoyYsQI5eWXX9Yfn7FU24cffqgcP35cmT59us0sY5zbn7ktefPNNxVvb28lNDQ0y3k3ISFB62gmZ8ur8OzZs0dxcnJSvvjiC+X06dPKb7/9phQpUkRZsGCB1tGMbsCAAUq5cuX0yxgvW7ZMKVWqlDJ8+HCtoxnFo87LEyZMUIoVK6b89ddfyqFDh5SePXta5TLGcm1se9fGimJf18dybSzXxopivGtjKaA84LvvvlMqVqyouLi4KE2aNFF27dql/1mbNm2UAQMGZDn+999/V6pXr664uLgoderUUdasWWPmxAWXn/daqVIlBXjoNmbMGPMHL4D8/rkasqZfEBny+3537NihBAUFKa6urkqVKlWUL774QklJSTFz6oLJz3tNTk5Wxo4dq1StWlVxc3NTKlSooLz11lvK7du3zR88nzZv3pztv8GM9zdgwAClTZs2Dz0mMDBQcXFxUapUqaLMnTvX7LlNIbc/c1uS3Z83YDN/jrmx5QKKoijKqlWrlLp16yqurq5KzZo1lZ9++knrSCYRGxurvPvuu0rFihUVNzc3pUqVKsonn3yiJCYmah3NKB51Xk5LS1M+/fRTxcfHR3F1dVXat2+vnDx5UtvQBSDXxipbuzZWFPu6PpZrY5VcGxf+2linKDY2NkcIIYQQQgghhBDCyKQHihBCCCGEEEIIIcQjSAFFCCGEEEIIIYQQ4hGkgCKEEEIIIYQQQgjxCFJAEUIIIYQQQgghhHgEKaAIIYQQQgghhBBCPIIUUIQQQgghhBBCCCEewUnrANYkLS2Nq1ev4unpiU6n0zqOEELoKYrC3bt38fPzw8HB9mvjcj4WQlgqezofy7lYCGHJTHE+lgJKPly9epUKFSpoHUMIIXJ06dIlypcvr3UMk5PzsRDC0tnD+VjOxUIIa2DM87EUUPLB09MTUP8AvLy8NE4jhBCZYmNjqVChgv48ZevkfCyEsFT2dD6Wc7EQwpKZ4nwsBZR8yBia6OXlJb8khBAWyV6GUMv5WAhh6ezhfCznYiGENTDm+di2J2YKIYQQQgghhBBCGIEUUIQQQgghhBBCCCEeQabwCGFOqamwdy+sXw8bNsDt29CyJXTsCO3aQbFiWicUQgghhBDCPsTFwfPPq9tLl0LRotrmERZPCihCmMupU/Dss3DkSNb7jx6FH38Ed3f49lsYPFibfEIIm+c/Yo1++8KEbhomEUIIISzAwoXw99+Z26+9pm0eYfGkgCKEOaxbB337QkxM1vsdHdVRKQD37qkn7fBwmDoVnJ3NHlMIYT+kmCKEEMLuGX6xefSodjmE1ZACihCmNm0avP8+pKWp+3XqwLBh6rSdUqVgyxZYvBh++UX9+fTp6gl8+XKZ0iOEKDTDQklejpFiihBCCLtx4kT220LkQAooQpjSn3/Ce+/pd9dVb0Zwx2ASzrjDmcOZx5V9ngtz2sIbb0BSEoSGwoABsGIF2MEyiEIIIYQQQpidFFBEPskqPEKYytmz8Mor+t3vmvXhzV4jSXBxz/74QYPUwkmJEur+ypUwZYrpcwohRHYyRs0JIYQQtiguDi5dyty/eBESErTLI6yCFFCEMIX799WO3rGxAKyq2YqvW72Eosv5n5z/iDX4/3WLge3eybxzxAjYudPUaYUQArfk+/Q4FsrCwM6cLVlB7dFUvbram2nBAoiP1zqiEEIIYTynTuXtPiEMyBQeIUzhgw9g/351u1o1RnZ+O89TcUKrNlILJxMmQEoK9OkDBw5AyZImDCyEsCV56XtiqG7kGb5dOYkqt69m/cHp0+rt55+hShVYtAiaNDFiUiGEEEIj2U3ZOXECAgPNHkVYDxmBIoSx7dqlNoIF7ju50KXl28S5Fsnfc3z+ObRqpW5fugSjRhk5pBBCgE5JY/CeZSz79YMsxZMkBydOlayYdTWwc+egRQuYOFGm9wghhLB+ORVQhMiF3RZQJkyYgE6nY9iwYVpHEbZEUSA4WL87oc1Ajpepku+n8R/1D0GPv0pcRr+Un36CY8eMlVIIo5s+fTr+/v64ubkRFBTEnj178vS4xYsXo9Pp6NWrl2kDiocpCl+t/YZRm+fgkpYCwEHfavTrM556wxbTcfAPcOcObNwITZuqj0lJUUfIvfSSFFGEsHAhISE0btwYT09PypQpQ69evTh58mSWY+7fv8+QIUMoWbIkHh4ePPvss0RFRWmUWAgzkwKKKAC7LKDs3buXH3/8kXr16mkdRdiaP//U9yw5U6I8vzYo+HKgUZ6lmBHUW91JS4Phw42RUAijW7JkCcHBwYwZM4b9+/cTEBBAp06diI6OzvVxFy5c4IMPPqBVxmgrYVZv71hM7yMb9fszg56l90uT+M8/kPvObuqdRYpAu3awdSt8/HHmVMRFi2DMGA1SCyHyasuWLQwZMoRdu3axYcMGkpOT6dixI/EG/Yzee+89Vq1axdKlS9myZQtXr17lmWee0TC1EOZzPHQvAMkOjiQ7OAJwbHPevgAS9svuCihxcXH069ePWbNmUbx4ca3jCFuSmAgffaTf/fKJV0hNPxkX1OzGPaF8eXVnzRr1m2AhLMyUKVN47bXXGDRoELVr12bmzJkUKVKEOXPm5PiY1NRU+vXrx2effUaVKvkfpSUK56njW3l/+28ApKHjrZ4jmNB2EMmOzlmO8x+xRu2n4uwMX3wBy5ZlFlHGj4dffzV3dCFEHq1bt46BAwdSp04dAgICmDdvHhEREYSFhQEQExPD7NmzmTJlCu3ataNhw4bMnTuXHTt2sGvXLo3TC2FiqalUuXUFgIvFyhJRrCyAep+MsBS5sLsCypAhQ+jWrRsdOnR45LGJiYnExsZmuQmRo+nT1R4BAO3asalq40I/5X1nN94LeD7zjvffh9TUQj+vEMaSlJREWFhYlnOqg4MDHTp0YGcuK0iNGzeOMmXK8Oqrr5ojpjAQePUkX6+Zqt+f2HYAa2u2zNuDe/WCr7/O3B88GLZvN25AIYRJxMTEAFCiRAkAwsLCSE5OznL+rlmzJhUrVszx/C3XxsJmXLyIa2oyAGdLludsSfULS7eUJIiI0DKZsHB2VUBZvHgx+/fvJyQkJE/Hh4SE4O3trb9VqFDBxAmF1bp7V/02FvXb3K4Ve+V51Z1HWVGnLYd9qqo7Bw/C4sVGeV4hjOHGjRukpqbi4+OT5X4fHx8iIyOzfcz27duZPXs2s2bNyvPryEX7o2WMFsltBR7X5ES+WfWV/qJxcb2O/Njk2fy90LBh8MYb6nZSktoPRZY4FsKipaWlMWzYMFq0aEHdunUBiIyMxMXFhWLFimU5Nrfzt1wbC5th0OvkbMnynC1RPtufCfEguymgXLp0iXfffZfffvsNNze3PD1m5MiRxMTE6G+XLl0ycUphtX7+GW7fBmB5nbYc8zHelARF58CXT7ySecekSWqzWiGs0N27d3n55ZeZNWsWpUqVyvPj5KLdON7euYRKd9QPRvvK1eLTjm/mv9ir08G330KbNur+xYswdqxxgwohjGrIkCEcOXKExYX8EkaujYXNMGiofLZEBf0IlAd/JsSD7KaAEhYWRnR0NA0aNMDJyQknJye2bNnCt99+i5OTE6nZTItwdXXFy8sry02IhyQnw9TM4fAzmj5n9JfYWbEe4WWrqzuHDsGGDUZ/DSEKolSpUjg6Oj60akNUVBS+vr4PHX/27FkuXLhA9+7d9efiX375hZUrV+Lk5MTZs2ezfR25aC+8atcv8r/dfwLqMsUfdX7noZ4neebsDLNmgauruj91KoSHGyeoEMKohg4dyurVq9m8eTPly2d+SPT19SUpKYk7d+5kOT6n8zfItbGwITICRRSQ3RRQ2rdvz+HDhwkPD9ffGjVqRL9+/QgPD8fRsXDNPoUdW7oU0j/MbazamDOlKhr/NXQ6fmxi0BV/8mTjv4YQBeDi4kLDhg3ZaNDgOC0tjY0bN9KsWbOHjq9Zs+ZD5+IePXrwxBNPEB4enuPIErloLxydkkbIP9/jnKZ+WTCj6XOcLVXIUTzVqsGoUep2aiq8/rr0aBLCgiiKwtChQ1m+fDmbNm2icuXKWX7esGFDnJ2ds5y/T548SURERLbnbyFsikGR5FyJcllHoEgBReTCSesA5uLp6amf85mhaNGilCxZ8qH7hcgzRYGvvtLv/tTEdEv//VO9GReL+arD7zdsUL/tDQw02esJkVfBwcEMGDCARo0a0aRJE6ZNm0Z8fDyDBg0CoH///pQrV46QkBDc3NweOudmzL+Xc7Hp9Dm4nkZXjgNwrrgfPzTL30g5w74qFyYYLM8+fDgsXAjHj8PevTBjBgwdapTMQojCGTJkCAsXLuSvv/7C09NT39fE29sbd3d3vL29efXVVwkODqZEiRJ4eXnx9ttv06xZM5o2bapxeiFMLL1IEl20OLFuHgBcL1qM0vF3pIAicmU3I1CEMImNG/XD1g/6VmN3BdN9AExzcOTnxr0y75BRKMJC9OnTh8mTJzN69GgCAwMJDw9n3bp1+sayERERXLt2TeOU9sst+T7B6UsWA3zSaQiJTi7GeXIXF/jxx8z9zz6DuDjjPLcQolBmzJhBTEwMbdu2pWzZsvrbkiVL9MdMnTqVp556imeffZbWrVvj6+vLsmXLNEwthBncugXR0QBZRp7op/FERsIDU9uEyGA3I1CyExoaqnUEYe0Mihg/NXnGaCvv5GTp4x14b/tCStyLVVfj+fJLqGiCKUNC5NPQoUMZmsPIg0eda+fNm2f8QELvpQNrKROvNrn+u3pzdlYKMO4LtGoFffuq56QbN+C772DkSOO+hhAi35Q8NJx3c3Nj+vTpTJ8+3QyJhLAQWRrIGhRQSpan6aUjmccEBZk7mbACMgJFiII6dQr++QeACG8f1tVobvKXvO/sxq/104fPp6bCTz+Z/DWFEJbrUUsXF0m6xxvpjWPT0DG15YumCTJ2LDikX1J89RXIMtNCCCEslUHD+vPF/fTb54qXyzzmzBlzJhJWRAooQhTUzz/rN3+t341UB/M0Il5QvwspuvR/unPmQEqKWV5XCGF9BuxfTamEGABW12rFqdL+pnmhGjXgpZfU7du3Ydo007yOEEIIUVg3b+o3bxQtlnm3wTa3bpkvj7AqUkARoiCSkiB92kGSgxN/Pt7ebC993aMEGx9rou5cuwZrsv/mWQhh3zwSE3h9t9rLIFXnwDctXjDK8+Y46uXTTyFjRbspU9RCihBCCGFpDIojMW6e+u076c1kHzxGCENSQBGiIFauhOvXAVhfrSm3inib9eUXBXTK3Jk1y6yvLYSwDgPCVlH8/l0AVtRuw9mShVy2+FEeewwGDlS3Y2Jg6lTTvp4QQghREAbFkTvumQUUw2KKFFBETqSAIkQBbP3wS/32osDO5n/9yg2gQvqHob//hkuXzJ5BCGG5XFOSGBi2CoAUnQPfNe9rnhceNQqc0vvTT58OCQnmeV0hhBAirwwLKAajTgyLKVJAETmRAooQ+XX+PK0vHADU5rE7KtUze4Q0B0emVmyVvpOm9kIRQoh0PY5toXTCHQDW1WjBhRLlcn+Asfj7qyvygHrx+euv5nldIYQQIq8MppgaFk2yTOGRaagiB1JAESK/Zs/Wby4O6ISi0+af0e/1niQ147Vnz1ZX5RFCCEXhlX1/6XfnNOph3tcfNixze9o0tcgrhBBCWAqD0SWxrkUzt6UHisgDKaAIkR+pqTB3LqAOi1/6eAfNolzzKk1olYbqzqVLsH69ZlmEEObzqKWLm0Ucotb1CwAcKFuD/eVqmTEd0LAhtEofIXfihJybhBBCWJb04kisa1HSDFbRTHVwJNalSJZjhHiQFFCEyI9Nm+DqVQA2V23MdY8SmsZZUq9j5s6CBdoFEUJYjFf3rtBvz27cU5sQ772XuS3NZIUQQliS9OJIlik76WIypvRIAUXkQAooQuSHQZHiz7rtNAyi2ly1EbczOoYvXw5372obSAihqcq3rtDh7F4ArniW5u8aLbQJ0qMHVKmibq9fD0ePapNDCCGEMJSWpu9vkqVpbDp9UeXWLVAUcyYTVkIKKELkVXw8LFsGqEP+NldtrHEgSHZ0Zk3NlurOvXuwYoWmeYQQ2hqQvvIOwPyGT5FqMDTZFHKcTuToCO+8k7n/zTcmzSGEEELkSWysvjfXHbfsCijp96WmyheTIltSQBEir1auhLg4ANbUaEGik4vGgVTL6zyRuSPTeISwW27J93nmyCYA7jm5sjigk7aBXnkFPNK/yVu4UC5EhRBCaM9gdZ2Y3KbwPHCsEBmkgCJEHm0aNUW/vcKwaKGxsHK11KVDAf79F65d0zSPEEIbT53YjldSAgCrarXKupqAFjw9oV8/dTs+HhYt0jaPEEIIYdDbJNcpPA8cK0QGKaAIkRfR0bQ+vx9Q+wrsqVBH40AGdDq+LRukbqelweLF2uYRQmjihfB1+u1FAZ01TGLg9dczt3/6SbscQgghBGQtoGQzhSdGCijiEaSAIkReLFmCk6LOl/yrThsUnWX901kh03iEsGs1rl+g4dUTABwv7c8BvxoaJ0rXoIG6rDFAWJh6E0IIIbSSpYDy8EjNLEUVKaCIbFjWp0AhLJVBUWJZHe1X33nQuZLlCS9bTd3Zvx+OHdM2kBDCrPoe/Ee/vSigE+h0GqZ5gOEolFmztMshhBBCGBRFspvqesddRqCI3EkBRYhHOXsW9uwB4GiZKpwpVVHjQNn7q3bbzB2ZxiOE3TBsHnvfyUWzHk05rsjzwgtQtKi6/dtv+mbcQgghhNk9ogdKjIxAEY8gBRQhHuX33/Wbq2q11jBI7tbUaEka6d86L1kia9cLYSe6nvwP78R4AFbXtIDmsQ/y9IQXX1S34+KkwCuEEEI7BivrZDuFR1bhEY8gBRQhHsWggLK6ZksNg+Qu2rNkZnPbU6fg0CFtAwkhzKLPoQ367UVaL12cE8NpPHPmaJdDCCGEfXtEE1lZhUc8ipPWAYSwaKdOQXg4AOFlq3O5mK+2eR5hda3WNL10RN1ZsgQCArQNJIQwioemxaSrcCeSoPR/82dLlFeXNbdEDRvC44/D4cOwc6d6bq1eXetUQggh7M0jp/BIAUXkzq5GoMyYMYN69erh5eWFl5cXzZo14++//9Y6lrBgX786Tr+9qmYrDZPkzd/Vm5OavkLQxRlzZRqPMJvp06fj7++Pm5sbQUFB7EnvG5SdZcuW0ahRI4oVK0bRokUJDAzk119/NWNa2/HskY367T8eb29ZzWMN6XQwcGDm/vz5mkURwl5s3bqV7t274+fnh06nY8WKFVl+PnDgQHQ6XZZb584WsgS6EKbyqCay0gNFPIJdFVDKly/PhAkTCAsLY9++fbRr146ePXty9OhRraMJC/XUiW367bUWPH0nw82ixdhZ8XEAKt2JlCVDhVksWbKE4OBgxowZw/79+wkICKBTp05ER0dne3yJEiX45JNP2LlzJ4cOHWLQoEEMGjSIf/75J9vjRfZ0Spq+eWyqzoFlGjWPzbN+/cDRUd3+5RdITdU2jxA2Lj4+noCAAKZPn57jMZ07d+batWv626JFi8yYUAjzO3n8IgAJzq4kOrk89PNEZ1fup99//NhFs2YT1sHipvAcOHCAVatWcejQIS5evMjdu3cB8PT0pFKlStSrV4/u3btTv379fD939+7ds+x/8cUXzJgxg127dlGnTh2j5Bc25OhRatyIAGBfuVpc8yqtcaC8WV2zFS0vHlR3liyBRo20DSRs3pQpU3jttdcYNGgQADNnzmTNmjXMmTOHESNGPHR827Zts+y/++67zJ8/n+3bt9Opk4X28LBATS4dpWJMFAD/VQogyrOUxokewccHunSB1avh8mXYvBk6dNA6lRA2q0uXLnTp0iXXY1xdXfH1tezpyUIYU7H76kpw2fU/yXDHzQPfuFsUu3fXXLGEFbGYESgXLlygXbt2NGrUiM8++4xly5YRFhbGqVOnOHXqFGFhYSxbtoyxY8fSqFEj2rdvz4ULFwr8eqmpqSxevJj4+HiaNWuW7TGJiYnExsZmuQk7kqV5rOVP38mwrkZzkh3Sv+X9/XeZxiNMKikpibCwMDoYfBB2cHCgQ4cO7Ny585GPVxSFjRs3cvLkSVq3ttxVrixR1uk7llWIyHFJ4wEDMrfnzTNrJiHEw0JDQylTpgw1atTgzTff5ObNm7keL9fGwtplFEViclmxLqO4klFsEcKQRYxAuXr1Kk2bNiU6Opp69erRu3dvGjRoQPny5SlatCigDkO8fPky+/fvZ+nSpWzevJlmzZoRFhaGn59fnl/r8OHDNGvWjPv37+Ph4cHy5cupXbt2tseGhITw2WefGeU9CiujKOroDSANHWtrtNA4UN7dcffiv0qBtD0fBhERsHs3NG2qdSxho27cuEFqaio+Pj5Z7vfx8eHEiRM5Pi4mJoZy5cqRmJiIo6MjP/zwA08++WSOxycmJpKYmKjft/eLdvek+3Q9+R8AsS5F+Kealfwb794dihdXl4ZctgxiY8HLS+tUQtilzp0788wzz1C5cmXOnj3Lxx9/TJcuXdi5cyeOGdPtHiDXxsKq3buHa2oykHsBJSa9uax7SiLcvw9ubmaJJ6yDRYxA+fTTT4mOjmbKlCmEh4czatQounbtSr169ahatSpVq1alXr16dO3alVGjRnHw4EEmT55MVFQUo0ePztdr1ahRg/DwcHbv3s2bb77JgAEDOHbsWLbHjhw5kpiYGP3t0qVLxni7whocPQonTwKwt0Idoj1Lahwof9YY9mv54w/tggiRA09PT8LDw9m7dy9ffPEFwcHBhIaG5nh8SEgI3t7e+luFChXMF9YCdT61A4+kewCsrtWKRGdXjRPlkasrvPiiun3vHixdqm0eIexY37596dGjB48//ji9evVi9erV7N27N9dzsVwbC6v2iBV49D8zLK7cvm3KRMIKWUQBZd26dQQFBTFs2LA8PyY4OJigoKB8r6Lj4uLCY489RsOGDQkJCSEgIIBvvvkm22NdXV31K/Zk3ISdMLioX2NFo08yrK/WNHMazx9/yDQeYTKlSpXC0dGRqKioLPdHRUXlOq/ewcGBxx57jMDAQN5//3169+5NSEhIjsfLRXtWTx/drN/+s257DZMUgOE0Hll9SQiLUaVKFUqVKsWZM2dyPEaujYVVMyyg5NIDRZYyFrmxiALKrVu38Pf3z/fjKlWqxK1C/qVOS0vLMixcCEA/aiMNHeuqN9c4TP7FuHuyo1KAunPxIuzbp20gYbNcXFxo2LAhGzdm9uNIS0tj48aNOfaXys6jzsVy0Z6pzN2btEhvFH2xmC9h5WppnCifGjWCGjXU7S1b1KmGQgjNXb58mZs3b1K2bFmtowhhGlkKKI/ugfLgY4QACymgVKxYkW3btpGQkJDnxyQkJLBt27Z8DeMeOXIkW7du5cKFCxw+fJiRI0cSGhpKv379ChJb2Kpjx9QbsK98LaubvpNhTQ2DaTwyTF6YUHBwMLNmzWL+/PkcP36cN998k/j4eP2qPP3792fkyJH640NCQtiwYQPnzp3j+PHjfP311/z666+89NJLWr0Fq9Lj+BYclTQAVtR+AnQ6jRPlk04HL7+cub9woXZZhLBhcXFxhIeHEx4eDsD58+cJDw8nIiKCuLg4PvzwQ3bt2sWFCxfYuHEjPXv25LHHHpPV0ITtMiiGxOQ2hcddCigiZxZRQOnTpw9Xr16lU6dOHDp06JHHHzp0iE6dOhEZGcmLGXOp8yA6Opr+/ftTo0YN2rdvz969e/nnn39ybVwo7JBBz5C/rXD6ToYN1YLAUabxCNPr06cPkydPZvTo0QQGBhIeHs66dev0jWUjIiK4du2a/vj4+Hjeeust6tSpQ4sWLfjzzz9ZsGABgwcP1uotWKScVrJ5+miofnt5nbbmDWUshr+7f/1Vzk9CmMC+ffuoX78+9evXB9Rid/369Rk9ejSOjo4cOnSIHj16UL16dV599VUaNmzItm3bcHW1kp5KQuSXTOERRmARq/B8/PHHbNiwgf/++4/69etTtWpV/So8RYoUAdQRJxmr8Jw9exZFUWjatGmWbzUfZfbs2aZ6C8KWGBZQqltvAeV2EW+2lX+cVhfD4fx5OHAAGjTQOpawUUOHDmXo0KHZ/uzBhoTjx49n/PjxZkhle6pfv0Cd6HMAHChbgwslymmc6NEMC0AXJnRTNypXhpYtYft2dcRfeDikf8gTQhhH27ZtUXIpTv7zzz9mTCOEBTBoCJuXZYwffIwQYCEFFDc3N0JDQ/n888+ZPn06Z86c0Tew0qUPTTb8BeDt7c3QoUMZNWqUVMmFcZ08CYcPAxDmV5NIr1IaByqctTVbqgUUUKfxSAFFCKvW61iofttqR59keOkltYACsGCBFFCEEEKYVl57oMgUHpELiyiggNogcPz48YwZM4b//vuPgwcP6udoAnh4eFCxYkUCAgJo0aIFzs7OGicWNslg9MlaK56+k2F9taaMX/+D2i/hjz/gyy+tr1+CEAIAnZJGz6NbAEjRObC6VmuNExXSc8/BO+9AUpLaB2XSpMxph0IIIYSx5bEHikzhEbmxmAJKBmdnZ9q2bUvbtm21jiLskUEBZZ0NFFBuFi3G7gp1aR5xCM6cgYMHITBQ61hCiAIIunSEcnevA7ClSkNuFfHWOFEhlSgB3brB8uUQGQmbNoH0JBNCCGEqeeyBckcKKCIXFtFEVgiLcOaMOg8fCC9bjSveZbTNYyRraxqsxmNQIBJCWJdeBs1jV9Ruq1kOozJceWnBAu1yCCGEsH15nMITI1N4RC6suoASFRVFRESE1jGErcgyfadlLgdal3+qNSON9Gk7S5fKahdCWCHXlCS6nvwPgDgXd3WVLVvQrRt4p4+kWbYMEhK0zSOEEMJ2pRdDkh0ciXdxz/Gwuy5FSNE5ZHmMEBmsuoDSq1cvqlSponUMYStsZPniB133KM7eCnXUnVOn4OhRbQMJIfKt7dl9eCXGA/BPtabcd3bTOJGRuLpC797qdlwcrFqlbR4hhBC2K70YcsfNM/eegDpdZh8UKaCIB1h1AQXIdXk2IfLs/HkIC1O3GzTgUjFfbfMYmWFD3GlvfKlhEiFEQRiuvvOXrUzfydCvX+b2b79pl0MIIYRtS1+SOLcljDPoV+KRZYzFA6y+gCKEUfz5p35zkkddDYOYxrrqzfTbXdKnAQghrIPX/Tjand0DwPWixfjPP1DbQMbWpg2UK6du//033LihbR4hhBC2JzkZYmOBvBVQYl3Tj7lzB1JTTRhMWBuLWIWnXbt2BXrcsWPHjJxE2C0bnb6TIcqzFPvK1aLRlePUuBEBx49DrVpaxxJC5EHnkztwTU0BYFXN1qQ6WO9Sv/4j1ui3L0zopm44OMALL8DkyZCSovZqevNNjRIKIYSwSXfuZG7msoRx5jEGRZY7d6BkSeNnElbJIgoooaGh6HS6Ak3H0eU2f02IvIiIgN27AThe2p/zJcppHMg0/q7RgkZXjqs7f/4Jo0ZpG0gI8RDDAkMGw+k7K+q0NV8Yc+rXTy2ggDqNRwooQgghjCmPK/BkHvPASjxSQBHpLKKA4u3tTWxsLOvXr8fT89EVwQyDBw+WUSii8JYt02+utcHRJxn+rtGcTzf9rO788YcUUISwAj53b9A04jAA54r7cci3msaJTCQgAGrXhmPH4L//4MIF8PfXOpUQQghbYVBAiXHLywgUWcpYZM8iCiiNGjVi06ZNuLi4EBSU96UZPTweXT0U4pFsdPniB131KkN42eoEXjsFBw/C6dNQzUY/jAlhI3oc24oD6ujMv2q3zX3VAGum06mjUD75RN3/7bfMbSGEEKKwDEeg5GEKT5Y+KVJAEQYsoolsRtFk3759GicRdufyZfXbTuBUyYqcLVVB40CmlWWEzdKl2gURQuTJ08c267dtdvpOhhdfzNxesABklT0hhBDGcvOmfjPfU3gMHiuERRRQmjdvjpeXF8ePH8/X47p160b//v1NlErYBYPVd9bUtN3RJxnWGr5HKaAIYdFqXL9A7ejzAOz3q8HF4n4aJzIxf39o1UrdPnECDhzQNI4QQggbYlhAcfd65OG33aWAIrJnEVN4unbtyu0CrLE9Sno4iML6/Xf9pj0UUC57+2RO4wkPh1OnoHp1rWMJIbLR62iofnt5nSe0C2JOL70E27ap2wsWQIMG2uYRQghhGwyKILfyVEAxOEYKKMKARYxAEUITly7Bjh0AnChViTOlKmocyDxWGxSKvho8XsMkQoic6JQ0eqavvpPs4Miamq20DWQC/iPW6G96zz0HLi7q9sKF6rLGQgghRGEZFEFu56EHihRQRE6kgCLsl8H0nbV2MPokw98GjXK7ndyuYRIhRE6aRhzB7+4NALZUbsCtIt4aJzKT4sXhqafU7ago2LhR2zxCCCFsw40b+s18T+ExeKwQUkAR9stw+o4Nr77zoCveZThQtgaA2l/h1CmNEwkhHtTrqGHzWDuZvpPhpZcytxcs0C6HEEII25HPESh3ZASKyIFFF1DGjRvHypUr9ft//fUX48aN0zCRsBmXLsHOnQAcL+1v86vvPGi1NJMVwmK5JifS5aS6OthdF3f+fayJxonMrGtXKFZM3V62DOLiNI0jhBDCBqQXQRIdnUhwdnvk4XEu7iQ5OGV5rBBg4QWUsWPHsmLFCv3+ihUr+Oyzz7QLJGzHH3/oN+2heeyD/q5psJyxwUgcIYT22p/di1dSAgDrqrfgfh4u9GyKqys8/7y6nZAABtcBQgghRIGkF0Fuu3uBTvfo43U67mSMVJECijBg0QUUYwsJCaFx48Z4enpSpkwZevXqxcmTJ7WOJbSwZIl+c60dTd/JcNWrDPv91Gk8HDqkLhkqRCFMnz4df39/3NzcCAoKYs+ePTkeO2vWLFq1akXx4sUpXrw4HTp0yPV4e/Pskcy+H8vrtNUuiJYMp/H88ot2OYSwYlu3bqV79+74+fmh0+myfCkJoCgKo0ePpmzZsri7u9OhQwdOnz6tTVghTElR9H1Mbueh/0kG/VQf6YEiDNhVAWXLli0MGTKEXbt2sWHDBpKTk+nYsSPx8fFaRxPmdO4c7N4NwLEylTlXsrzGgbSxumbrzJ1Fi7QLIqzekiVLCA4OZsyYMezfv5+AgAA6depEdHR0tseHhobywgsvsHnzZnbu3EmFChXo2LEjV65cMXNyy1Mq/jZtzoUBcMWzNDsr1dM4kUZatoQqVdTtf/+Fy5e1zSOEFYqPjycgIIDp06dn+/NJkybx7bffMnPmTHbv3k3RokXp1KkT9+/fN3NSIUwsIQESEwEyR5Xkgb4Pyr176k0I7KyAsm7dOgYOHEidOnUICAhg3rx5REREEBYWpnU0YU6LF+s3V9Zqo2EQba2u2ZI00ocwLlqkVueFKIApU6bw2muvMWjQIGrXrs3MmTMpUqQIc+bMyfb43377jbfeeovAwEBq1qzJzz//TFpaGhvtdMUVw+V8ex4NxUlJA2B53SdQdPbxa/qhJY11OujfX91WFGkmK0QBdOnShfHjx/P0008/9DNFUZg2bRqjRo2iZ8+e1KtXj19++YWrV68+NFJFCKtn2EDWLe8FlFvSSFZkwz6uzHIQExMDQIkSJbL9eWJiIrGxsVluwgYsXKjfXFWrdS4H2rZoz5Lsqvi4unP6NEghURRAUlISYWFhdOjQQX+fg4MDHTp0YGd6o+ZHSUhIIDk5OcdzsT3pbTB9Z1mddhomsQAZBRSA+fOlyCuEEZ0/f57IyMgs525vb2+CgoJyPXfLtbGwSoYFlCIFmMLzwHMI+2a3BZS0tDSGDRtGixYtqFu3brbHhISE4O3trb9VqGBfK7XYpMOH4ehRAPaWq80V7zIaB9LWX7UzR+DMeusLDZMIa3Xjxg1SU1Px8fHJcr+Pjw+RkZF5eo6PPvoIPz+/LBfyD7KHi/baUeeodf0CAPv9atjt9EK9ypWhdXqR+8QJ2LtX2zxC2JCM83N+z91ybSyskkEPk/z0QMky3Uf6oIh0dltAGTJkCEeOHGGxwXSOB40cOZKYmBj97dKlS2ZMKEzCoNfHytr2O/okw981WuiXaOt+fCukpmqcSNibCRMmsHjxYpYvX46bW86rzdjDRbth89g/67bXMIkFGTAgc3v+fO1yCCEAuTYWVqqAU3huu8kUHvEwuyygDB06lNWrV7N582bKl8/5Gz5XV1e8vLyy3IQVUxR9ASVF52CXq+88KNbNgy1VGgDgG3cLtm3TOJGwNqVKlcLR0ZGoqKgs90dFReHr65vrYydPnsyECRNYv3499erl3izV1i/anVJT6HksFIBER2e7nl6YRe/e4O6ubi9apG8CKIQonIzzc37P3XJtLKySQfHjTn5W4SkiBRTxMLsqoCiKwtChQ1m+fDmbNm2icuXKWkcS5rRrF1y4AMB//oHcLFpM0ziWIksjXVmNR+STi4sLDRs2zNIANqMhbLNmzXJ83KRJk/j8889Zt24djRo1euTr2PpFe5vzYZRKUPtybXgsiFg3D40TWQgvL3jmGXX79m1YtUrbPELYiMqVK+Pr65vl3B0bG8vu3btzPXcLYZUMR6DkYxUe6YEismNXBZQhQ4awYMECFi5ciKenJ5GRkURGRnJPlqWyD4bTd+x49Z0H/ftYEAnOrurOH39AUpK2gYTVCQ4OZtasWcyfP5/jx4/z5ptvEh8fz6BBgwDo378/I0eO1B8/ceJEPv30U+bMmYO/v7/+XBwXF6fVW9Bcn0Mb9Nt/Pi7Td7IwnMaTw8pOQoiHxcXFER4eTnh4OKA2jg0PDyciIgKdTsewYcMYP348K1eu5PDhw/Tv3x8/Pz969eqlaW4hjK6APVCyTOGRHiginZPWAcxpxowZALRt2zbL/XPnzmXgwIHmDyTMJylJX0BJdHRmffWmGgeyHPdc3FhfrSm9jm2BW7dg7VqQiyeRD3369OH69euMHj2ayMhIAgMDWbdunb45YUREBA4OmfX6GTNmkJSURO/evbM8z5gxYxg7dqw5o1uE0nG3aHdmDwDXPEqytXIDjRNpS7+UMXBhQjdo3x4qVYKLF2HdOrh0CWywB44QxrZv3z6eeOIJ/X5wcDAAAwYMYN68eQwfPpz4+Hhef/117ty5Q8uWLVm3bl2u/aiEsEoFHIFyR0agiGzYVQFFkSUQ7dfff+srx+urNeWua1GNA1mW5XXaqQUUUBs1SgFF5NPQoUMZOnRotj8LDQ3Nsn8hfSqdUPU+shEnJQ2ApY93INXBUeNEFsbBAV55BcaMUXtZzZ0Lo0drnUoIi9e2bdtcr311Oh3jxo1j3LhxZkwlhAayFFDyPgLllvRAEdmw6Ck8AwYMoGXLzEafLVu2pH///homElbrl1/0m3/WbadhEMu03T+Q6KLF1Z01a2SYohDmoij0Obhev/t7vSc1DGPBBg0CnU7dnj1bVgwTQgiRZwcPngMgVedArFvev0SNdS2a+btHCiginUUXUObOncsrr7yi33/11VeZO3euhomEVbp5k6QVKwGILlqcbXY+PD47qQ6OLK+TPsw3OZnRL4zSNpAQ9mLLFvzvXANgW6VALhfLfeUiu1WhAnTurG5HRIBB40shhBAiN8XvxQJwx80DRZf3j79pDo7cdlWbul84ZVur/4mCs+gCihBGsXgxLmkpAKyo3VaGx+fAcGTOs0c2aZhECNvnP2IN/iPWsHzIZ/r7lgR01DCRFRg8OHP755+1yyGEEMKq6Aso+Zi+kyGjZ0qJ9OcQwqJ7oCQkJLBv3z6uXbtGYmJijsfJtB6Rq/nz9ZuyukXOTpX257BPVR6POktA5Gk4dgxq19Y6lhA2y+t+HF1P/gfAbTdP1leTpUNz9dRTUKYMREfDihVw/TqULq11KiGEEJYsKQnPJHXF1fw0kM1w290Lbl/FKzEeUlLAyaI/PgszsNi/AaNHj2bq1KkkJCTkeIyiKOh0OimgiJwdPw579wJwxKcqJ0v7a5vHwv1Ztz2PR51Vd+bPh4kTtQ0khA175sgmXFOTAVhWtx1JTs4aJ7I8D63IM2AAfPUVJCfDvHnw4YfahRNCCGH5bt3SbxasgGLwmFu31EK+sGsWWUCZNGkS48ePx9HRkW7dulG9enU8PfP/F14Iw9Eny+pI89hHWVm7DZ9sno1zWiosWABffCGVdiFMQVF4+cBa/e7iejJ9J08GD1YLKAAzZ8L776ur9AghhBDZMWj+esct/1N4skz7uXlTCijCMgsos2bNwt3dnW3bttGggTT8FAWU8Q0lkOzgyF+122ibxwrcKuJNaJVGPHlmN1y9CuvWqcPmhRBG1eLiQareugzAzoqPc7p0JY0TWYnq1eHJJ2HDBjh3Tj1Hde2qdSohhBCWymBlySzLEudRlhEoskqlwEKbyF66dIk2bdpI8UQUzsqVEBUFwIbHgrhZtJi2eazEooBOmTs//qhdECFsWP/9q/Xbv9TvpmESKzRkSOb29Ona5RBCCGH5DEegFLQHSjbPJeyXRRZQfH19KVo072t0C5Etgw//CwO7aBjEuoRWachVz1IApK5ZS7O35mkbSAhbExFBhzN7AIj0KMGGak01DmRlnnoKKlZUt//+Wx2JIoQQQmTHoOhx200KKKLwLLKA0rdvX0JDQ4mPj9c6irBW586pQ7yBi8V8+c8/QONA1iPNwZEl6f0YHJU0+hxar3EiIWzMjz/iqKQBsCigMymOFjmb1nI5OsIbb6jbigIzZmibRwghhOUyLKAUYhnjB59L2C+LLKCMHTuWWrVq0aNHD86cOaN1HGGNZs3Sby4O6ISis8i/6hZrSb2OpKb/P+tzcL26bJsQovASE+HnnwG1N9PCwM4aB7Ie/iPW6G8MHgwuLuoP5syBe/e0DSeEEMIyGfQtuV2AHih3pAeKeIBFfu3VtWtX0tLSCA0NpVatWlSqVIny5cvjkE2nfZ1Ox8aNGzVIKSxWUpJ6QY36AWXp4x00DmR9Ir1KsalqY548s5uycTfVYfLdu2sdSwjr9/vvEB0NwD/Vm3Pdo4TGgaxU6dLw/PPqamG3bsHChfDqq1qnEkIIYWkKOYXnlkzhEQ+wyAJKaGiofjs1NZVz585xLoc5zjqdzkyphNVYuTLzA0q1ZtwoWlzjQNbpt8DO6mo8oPaTkQKKEIXi/9Fq1s4bQ+30/fkNpHlsobz9tlpAAfj6axg0SJY0FkIIkVWWJrIFmcIjBRSRlUUWUM6fP691BGHNDFZlWCTD4wtsa+UGXPYqTfnY67B2rdpXpkoVrWMJYbVaXDxI7Wj199uBsjXYW76OxomsXJMm0LIlbN8Ox4/LksZCCCEelqWA4pHvh9+RHijiARZZQKlUqZLWEYS1Cg+H9BFMZ0uUY0eleprGsWZpDo4sDOzC8K2/qI0av/0Wpk3TOpYQVut/u//Ub//U5GmQEZSF9+GHagEF4KuvpIAihBAiq/S+JbEuRUh2dM73w5MdnYlzcccj6Z70QBGAhTaRFaKg/nz5ff323EY9pXlsIS0M7Mw9J1d1Z/ZsiInRNpAQ1urQIVpfOABAhLcP/1RvpnEg65bRTLbyfzqoXl29MzQU9u3TNJcQQggLkz5qJMtIknzST+ORESgCKaAIW3LtGt2PbQXgjpsHf9Zpp3Eg63fH3YtldZ9Qd+Li+Pzp93N/gBAie19/rd/8uXEv0hwcNQxjOxSdA7xvcF4y+P8shBDCzqWlwe3bQMGWMM6gX8r41i11VLawa1JAEbbjhx9wSVOX210Y2Jl7Lm4aB7INcxr11G8PClslSxoLkV+XL6urxKCuALD08Sc1DmRjXn5ZXZUHYOlSuHBB0zhCCCEsxJ07ahGFwo1AuZOxek9qqozGFlJAETbi3j2YORNQly6e3+ApjQPZjrMlK7C5SkMAysdGw4oV2gYSwtpMnKgvPC6o31WKu8bm7g5Dh6rbqakQEqJtHiGEEJbBoGfJbWNM4XngOYV9kgKKsA0LFuhPaGtqtiTKs5TGgWzL7Ea9MnemTNEshxBW58oV+OknAOKd3ZjbqIfGgWzU0KHglX6BO2cOXLyobR4hhBDaM+hZUpgpPLeKyFLGIpNdFVC2bt1K9+7d8fPzQ6fTsUK+SbcNKSnqN7zpsnzYF0ax3T+QE6XSV8fauVO/0pEQGaZPn46/vz9ubm4EBQWxZ8+eHI89evQozz77LP7+/uh0OqbZ8upOISGQlATALw2e4lYRb40D2R7/EWvwn7STb+qmr8CTkgJffKFtKCGsxNixY9HpdFluNWvW1DqWEMYRFaXfvFWYAorhYyMjC5NI2AC7KqDEx8cTEBDA9OnTtY4ijGnhQjh7FoDtlQI4XLaaxoFskE7HzKa9M/fHjdMui7A4S5YsITg4mDFjxrB//34CAgLo1KkT0dHR2R6fkJBAlSpVmDBhAr6+vmZOa0aXL8OsWep20aLq0sXCZGY37pU5CmXuXOmFIkQe1alTh2vXrulv2zOWBhfC2p0/r9+87O1T4Ke54l0mc0d+t9g9uyqgdOnShfHjx/P003IRazNSUjg3bKR+95sWL2gYxratqtWac8X91J3Nm2HbNm0DCYsxZcoUXnvtNQYNGkTt2rWZOXMmRYoUYc6cOdke37hxY7766iv69u2Lq6urmdOakcHoE95+m9sy+sSkYt08YNgwdUdGoQiRZ05OTvj6+upvpUrJNGhhIwwKKJeKFbyAcsmw+GLwnMI+2VUBRdigJUuocvsqADsq1mNvhboaB7JdqQ6OfN+8j35/28vvaJhGWIqkpCTCwsLo0KGD/j4HBwc6dOjAzp07NUymsYgI+PlnAOJc3Kkf/7jGgezEsGHgnV6omjdPPzpRCJGz06dP4+fnR5UqVejXrx8RERFaRxLCOAwLKIUYgXLJ22C0rBRQ7J4UUHKRmJhIbGxslpuwIKmp8Pnn+t1vW/TVMIx9+Kt2Wy4UKwtAq4vhsGOHtoGE5m7cuEFqaio+PlkvTHx8fIg04jxhqzsff/yxQe+TbjL6xEz8J+5gmmEvlJEjc3+AEHYuKCiIefPmsW7dOmbMmMH58+dp1aoVd+/ezfZ4qzsXC/uWXuxIdHQm2qNEgZ8myrMEiY5OWZ5T2C8poOQiJCQEb29v/a1ChQpaRxKGfv8dTp4EYHeFuuyqWE/jQLYv1cGR6c2ez7xj7FjNsgj7YlXn4z174LffALXx3Myg3o94gDCmnxs/zfUixdSdpUul0CtELrp06cJzzz1HvXr16NSpE2vXruXOnTv8/vvv2R5vVediYd8URV/suOxdBkVX8I+9is6BK17pfVDOn1efW9gtKaDkYuTIkcTExOhvly5d0jqSyHD/PnzyiX73m+Yy+sRcltd5goiMYZAbNsD69doGEpoqVaoUjo6ORBl0ugeIiooyaoNYqzkfKwoEB+t3p7V4Qe3NIcwmzrUIU1v1y7zjvfcgLU27QEJYkWLFilG9enXOnDmT7c+t5lwsxPXrkJAAFK6BbAb9c8TFyVLGdk4KKLlwdXXFy8sry01YiO++01eVt1cKYEelAI0D2Y8URye+bvVS5h3vv69OpxJ2ycXFhYYNG7Jx40b9fWlpaWzcuJFmzZoZ7XWs5nz855/w33/qdo0aLAzsom0eO7WkXkeoU0fd2bMHlizRNpAQViIuLo6zZ89StmzZbH9uNediIYzU/0T/HMWkkaxQ2VUBJS4ujvDwcMLDwwE4f/484eHh0izL2ly/TuyosQCkoWN8u8Gg02mbyc6srN2G8Izloo8cYUS3YZrmEdoKDg5m1qxZzJ8/n+PHj/Pmm28SHx/PoEGDAOjfvz8jDXpRJCUl6c/FSUlJXLlyhfDw8By/8bQa9+/D8OGZ+5Mnk5IxZ1qYVaqDI3z9deYdH30E9+5pF0gIC/XBBx+wZcsWLly4wI4dO3j66adxdHTkhRdkVUNh5Yy0Ao/+OaSRrEhnVwWUffv2Ub9+ferXrw+oF/3169dn9OjRGicT+TJ2LF5J6pC8JfWe5ESZyhoHsj+KzkEtXKV7f9sCyKHhnLB9ffr0YfLkyYwePZrAwEDCw8NZt26dvrFsREQE165d0x9/9epV/bn42rVrTJ48mfr16zN48OCcXsI6fPll5kVV+/bQrZu2eeyc/+YUQis3VHcuXYLPPtM2kBAW6PLly7zwwgvUqFGD559/npIlS7Jr1y5Kly6tdTQhCifLCJTCTymWpYxFBrv6aqxt27Yo0vTHuh07Bj/+CEC8sxtTWr2scSD7ta98HdbUaEG3k/9ROuEOhISoHyCFXRo6dChDhw7N9mehoaFZ9v39/W3vXHz4sPpvAMDJCaZNk5FxFuDz9oNpNvcgrqkpMHky9OkD6V+iCCFg8eLFWkcQwjRkCo8wEbsagSKsXFoavPGGvt/GD02f47pHcY1D2beJbQZmLuv29ddqgUsIe5OaCq+9pi6bCzBiBNStq20mAcDZkhX4vlkfdSc1FQYPzvxzEkIIYbuMPoVHCihCJQUUYT1mzoRt2wCI8PZhduOeGgcSEcXL8nPjp9WdpCR45RVpKCvsz/TpsHu3ul2jBjXuNcB/xBr8R6zRNpcAYGbT3pwsVVHd2b9fHR0khBDCtmUUOTw9uePmWeinu+3uBR4eWZ9b2CUpoAjrEBGhNgFM91GXd7jv7KZhIJHh2+Z9OVuinLqze7e6QpIQ9uL0afj448z9WbNIdHLRLo94SLKjMyM6v0Ma6VOqRo+G48e1DSWEEMJ0UlNJPn8BgONuJY0zpVan47h7KQCSzp6XLwztmBRQhOVTFPjf/9R114FF9TqyU5YtthiJzq6M6Py2fj9h+Ag4d07DREKYSWIi9O0L8fHq/v/+B61aaZtJZOtAuZrMb/iUunPvntoLRVblEUII23T5Ms5paoHjUrHCN5DVP236NB6XtBS4etVozyusixRQhOWbMwfWrQMg0qMEIU+8onEg8aC9Feoyv4G64kiR5ESZyiPsw/Dh6pQQgOrV1SalwmJNbDOAUyXTp/IcPsyC5s9qG0gIIYRpGEyxiTBCA9kM0gdFgBRQhKU7dAgMVvYY1XEIsW4eGgYSOZnUegCXvdKXPdyyBcaM0TaQEKa0YgV8+6267eoKv/+eOTdaWKT7zm4M6fkR95xcAXgp/G9YulTjVEIIIYwuSwNZ441AkZV4BEgBRViy2Fjo3Rvu3wfgt8DO/FstSONQIifxrkUY1v0DUnTpp5UvvoC//9Y2lBCmcPIkDBqUuT91KgTItEJrcLp0JcZ0+F/mHYMHw9Gj2gUSQghhfEZewjjzuQyKMVJAsVtSQBGWSVHg1VfVBo3AYZ+qjGv/usahxKPsK1+HSW0GZN7x0ktqA2AhbEV0NHTtCnfuqPu9e6vLqwur8Xu9J1lRu426ExvL5eZP0HjoAm1DCSGEMB5TFVBkBIpACijCUn35JfzxBwCxrkV5q9dIWdnCSvzU5BnWV2uq7ty6Bb16qaOJhLB29+5Bjx6ZTZLr1YPZs0Gn0y9bLEsXWwGdjpGd3uawT1UAysdeZ/afn2U2AxZCCGHdDIobl6UHijAyKaAIy/PzzzBqlH73/W7vGXX+ojAxnY4Pug7LbNp14AA8/bS6YokQ1io5Gfr1U5fqBihXDtasAS8vbXOJArnn4sYrvcdwxVPt21Qv8gz/BjxBtQ9XSBFMCCGsXXpx43qRYtxzcTPa0ya4uHPT3SvLawj7IwUUYVlWrCD19cz56SFtB7IhYzSDsBqxbh4M6j2W226e6h2bNsHLL8vKPMI6JSWpyxUvX67ue3ioxZPy5bXNJQrlukcJBj03hliXIgB0OLuXH1aE4JKSrHEyIYQQBXb/vn6JYWOOPsmgn8Zz5Yp8OWinpIAiLMfff0PfvjgqaQD83KgnPzaRZSat1dlSFXi192j9ihcsXQqvvw4pKdoGEyI/7t+HZ5+FZcvUfRcXdXqhNI21CadK+/O/Zz7hfvoU0SfP7OGnZeOp8f4ymZIlhBDW6OJF/WaWniVGcjmjkayiSJ8/OyUFFGEZFixQewukV3KX1XmCL9q9CjqdxsFEYewvV4s3e43IXJlnzhx47jm1l4QQlu72bejeHVavVvfd3GDVKujUSdtcwqh2VgrglWdHk+CsFnvbng9j3h9jKXZPejcJIYTV2blTv3m+uJ/Rnz7Lcxq8lrAfUkAR2lIUmDJFnd6RPjJhTY0WDO/yLopO/nragtCqjXm3+4fg7KzesWIFdO6cuYqJEJbo2DFo0gT+/VfdL1IE1q6Fjh31h0jjWNuxwz+QAc99RpyLOwDNIg6zcv571Lh+QdtgQggh8ufPP/WbW6o0NPrThxo+p8FrCfshn1CFduLiYMAAeP99/V2/1u/K2z2Gk+LopGEwYWxrarXipadHE++c3shr61Zo1AjCwrQNJkR2/vwTgoLgzBl1v2RJWL8ennhC21zCpPZWqMtLfcZzvUgxACrGRLHs1w8Y2vMjKZQJIYQ1iI1Vf18DkR4lOOBXw+gvsb9cTaI8Sqg7//wDd+8a/TWEZZMCitDGwYPqB+hff9XfNaVlPz598k3SHBw1DCZMZXvl+vR9ISSze/nZs9C8OXz3nToSSQit3byprrTTu7da4AUIDIR9+6BFC02jCfMI96tBjwFTOeT7GABFk+/z/cpJfPfXREokxMioIyGEsGRr1qiN34F11ZubZDS7onPgn2rN1J3ERHV0qrArUkAR5pWQAJ9+qg6NP3kSgDgXd97p/iHftnhBep7YuMNlq9Gz/xTCy1ZT70hKgnfegSefhOPHtQ0n7FdaGixaBLVrw8KFmff36QP//Qf+/ppFE+Z3zas0z704kT/rZI446n5iG+tnv0Wvo5vRpTc6F0IIYWEMptSsq9HcZC/zt+FzyzQeuyMFFGEeaWnqyhW1asH48frq8GGfqnQb+A0ra7fROKAwl8vFfHmu3yR+avx05p0bN0K9evDhh2rjTiHMZcMGaNwYXnwRoqPV+4oVg/nz1aJKkSKaxhPaSHR25f1uwbzT/QP9cuylEmKYtvprVs8bRptzYfh/tFpGowghhKVISFBX9AQoVYq95euY7KX2VKirTu8FdQSKLI5gV6SAIkwrOVmdplOvnrr6SvpyX0kOTvzQtDfPvjSZiybokC0sW7KjM1+2e5WBvcdyyTt9ibmUFJg8GSpVguHD4do1bUMK25WcDEuWQMuWalPY/fszf9azp9pAtn//bEfEyRQOO6LTsbJ2W54c/ANrq2d+21gn+hzzl45h2YIP6HFsC86pyfL3QgghtPbPP2oRBVjk14BUE7YESHVwZIlfA3UnPl7fd0XYBymgCNM4cQI+/hiqVFE/iBw9qv/RVv/6dH7leya1GUiSk7OGIYXWQqs2osOrPzC1xYvcd3JR77x7F776Sp028fzz6nzW5GRNcwoboCgQHq6el/z9oW9fdXpOhsBAWLcOli+HsmU1Ciks0Y2ixXnr6Y/p12e8vjcKQIOrJ/l21Vf8N+MVPgqdR53IM6AoUkwRQggtZJm+Y/q+ZTKNx37ZXQFl+vTp+Pv74+bmRlBQEHv27NE6km1ISVE/jIwaBQ0aqFN1QkLg8mX9IXvL1WZg7zH0f34c50qW1zCssCSJzq580/JFOgyewYLALiQ6phfVkpJg6VJ46ikoVw4GDoTff5cpPhYqv+fWpUuXUrNmTdzc3Hj88cdZa4ombHfvqgW44GCoUQPq11fPS1evZh5Tp47a9yQsDDp1kj5MIkf/+QfSs/8UhvT4iOOl/fX3l4m/zZu7/2DN/GGE/vQ6o//9ifZnduORmCCFFGE15PpYWLXbt2HVKgBiXYuyo1I9k7/kjkqBxLqkT/NduVKuT+2ITlHsZ/mLJUuW0L9/f2bOnElQUBDTpk1j6dKlnDx5kjJlyjzy8bGxsXh7exMTE4OXl5cZEluoxEQ4fVod5r5/P+zeDXv3qkPYHpCic2Bz1cb81ORp9laoq0FYYW1Kx93mlX1/8dzhDZRKiHn4AJ1ObfYZFKQ2I65TR90vUcL8YS2Iluen/J5bd+zYQevWrQkJCeGpp55i4cKFTJw4kf3791O3bt7OE1ner6en2r/k5El1tFtYmHo7fBhSUx9+sIMD9OihNjBu2/aRRRP5ACweoigEXTrCgLBVdDy9C6dsGsum6Bw4VboSh33+396dxzdV5f0D/6Rpk+4LlG5QSkFk39FSwEGxz9NHEOWnj8uIiIo6o8UBOjMKyqKIlHHFBWVEBecZkJEZREQGZaoFUWSvgqylpS20acvSpgt0y/n9kSYkbdomae69TfJ5v173xc3NvbnfQ9uTk2/Och2OxFyH05E9kdulB8qCws2/c2eXT5Y5cJKDu7UXO9I+dreykgc6exaYNMm8GMG/Bt2CP97+R1lu/eaXr+H/HcsyPhgwwDgfCiee71SkqKO8KoGSlJSEG264Ae+++y4AwGAwID4+Hk8//TTmzZvX7vUe+ybR0GBMflRVGb+xLS83bhcvGj+UlJQYv7EtKADy84HCQtsfSiwcie6DzYNuwRcDJ+BCUIQsxSDP4tvYgAl5B3H3kUzcnHcQgfW1bV8QGWmcPyUhAejRA4iONm6RkUBEhHFi0LAwICgICA4GtFqP6m2gZP3kaN163333obq6Glu3bjUfGzNmDIYPH45Vq1bZdU9zeQcOROj580CFjWSbJZUKmDDBOCzs7rsBO5LmJkygUFu61FTgf079iMknvseYgqNQt7NKj14TiPNhUSgOiURxaCQuBEbgQlAYLgWEocI/GHr/IGx5frKxngoKMm6+vjKVhlzB3dqLHWkfu1tZyYNUVhp7vz/8sPGzCoCywHDcM+0vONuluywhJF46j43rnrn2hV90NLB2LTBuHBASIksM1DYp6iiveUeuq6vDwYMHMX/+fPMxHx8fpKSkYM+ePY692N13A34dmLvDnpyV5TmmfSFa7jffDAZjcsNguLbf0HBtq6u7tl29atwaGpwvS5Nzod1wOK4/diWORFbvUSgL9u7eANRxDWpfZF6XhMzrkqBtqMMNhb/i5twDuPHcrxhQmgc/Q7Mk3oULxu3gQftuoFIB/v7GTasFNBrj5udn/LDi6wuo1cbeCj4+1vsqlfVmej1b+6bH9sTTEQrNE+NM3bpnzx6kp6dbHUtNTcXmzZsdD+DYMdvHfXyM3wZNmADcequxp4kDvZSYNCF7XQoMw/rht2H98NsQerUKYwqOYGz+z0gqPIq+Fwpa9E4JratBaNlZDCg72/qL/s3676PeR41aXw3q1H6oV/ui3scXPaJCr9VXavW1OsqyrrJVX7VWZ1n+23zfkgclniXjRvN2uax93NG2MZEtlp99GhuNveBra41f8J49a3XqmS498PA9L6AwPEa28PK6dMf/m/461m5cjD6XzhsTObfdZnyyVy/jlzVarXFTN01q27yNSNKSoD72mgTKhQsX0NjYiOjoaKvj0dHROHHihM1ramtrUVt77VvviqZvOPX/+Y90gXZy5dogFIVG4UyX7sjt0h1nusbjl9i+LXuZ1NYoEyB5pCsAdsX1w664fgAAbf1VDCzLQ7+yfPS5eA59Lp1Dj/ISRFddghp2dqoTwrjsnIcsPadv+lfuToXO1K06nc7m+TqdrtX7tFofq9XGHkd9+gB9+xq3oUOBwYON39xb0uvR3ODFX7dZPiJHlKt8sD1hGLYnDANgrKv6l+Wj/4V89Lp0HomXi9CzvBjRlRehbZ4EbouhEai7Al9cgS+AAAB6fakkZaCOU6o+doajdTjbxtQZHYjrhz9MeQb6gBDZP4PkB4Ri6j0v4q0vX8XoopPXnjh7tkWSh+QnRX3sNQkUZ2RkZODFF19scTxegVg6jdpqoCzPuBEpKEfpADqpixcvIiwsTOkwXK7V+rix0Ti0MD8f+PZbBSIjalsOgK3tnkWeyBPrY7aNqVMqOgn8daZity8EcKtidyd7uLI+9poESmRkJNRqNUqaxsiZlJSUICbGdlev+fPnW3UzLy8vR0JCAgoKCjzuDbE5vV6P+Ph4FBYWesWYVm8qL8vqmSoqKtCzZ090kXkyXWfq1piYGIfOB1gfe8vvMcvqubypvErVx85wtA5nXewdv8OAd5WXZfVcUtTHXpNA0Wg0GDVqFDIzMzF16lQAxkmyMjMzMWvWLJvXaLVaaLXaFsfDwsK84hcOAEJDQ72mrIB3lZdl9Uw+PvKuTu9M3ZqcnIzMzEzMmTPHfGzHjh1ITk5u9T6sj73r95hl9VzeVF6562NnOFqHsy72rt9hwLvKy7J6LlfWx16TQAGA9PR0zJgxA6NHj8aNN96IFStWoLq6Go888ojSoRERua326taHHnoI3bt3R0ZGBgBg9uzZmDBhAl5//XVMnjwZGzZswIEDB/DBBx8oWQwiIq/E9jERkf28KoFy3333oaysDIsWLYJOp8Pw4cOxffv2FhNnERGR/dqrWwsKCqwy/2PHjsX69euxYMECPPfcc+jbty82b96MwYMHK1UEIiKvxfYxEZH9vCqBAgCzZs1qtVt5e7RaLRYvXmyz66Kn8aayAt5VXpbVMyld1rbq1qysrBbH7rnnHtxzzz1O30/p8sqJZfVM3lRWwLvK645ldbZ97I5ldZY3lRXwrvKyrJ5LivKqhDussUZEREREREREpKDOP7sVEREREREREZHCmEAhIiIiIiIiImoHEyhERERERERERO1gAqWZlStXolevXvD390dSUhL27dvX5vkbN25E//794e/vjyFDhmDbtm0yRdpxjpR19erVuOmmmxAREYGIiAikpKS0+3/TmTj6czXZsGEDVCoVpk6dKm2ALuZoecvLy5GWlobY2FhotVpcf/31bvO77GhZV6xYgX79+iEgIADx8fGYO3curl69KlO0ztu1axemTJmCuLg4qFQqbN68ud1rsrKyMHLkSGi1Wlx33XVYu3at5HHKwdm/Z3eTkZGBG264ASEhIYiKisLUqVNx8uRJpcOS3PLly6FSqTBnzhylQ5HM+fPn8eCDD6Jr164ICAjAkCFDcODAAaXDcrnGxkYsXLgQiYmJCAgIQJ8+ffDSSy/BU6bfa69eFkJg0aJFiI2NRUBAAFJSUnD69Gllgu0Ato1tc/e2MeBd7WO2jVvHtrGDBJlt2LBBaDQa8fHHH4tff/1VPP744yI8PFyUlJTYPP+HH34QarVavPLKK+LYsWNiwYIFws/PTxw5ckTmyB3naFkfeOABsXLlSnH48GFx/Phx8fDDD4uwsDBx7tw5mSN3nKNlNcnLyxPdu3cXN910k7jzzjvlCdYFHC1vbW2tGD16tJg0aZLYvXu3yMvLE1lZWSI7O1vmyB3naFnXrVsntFqtWLduncjLyxNff/21iI2NFXPnzpU5csdt27ZNPP/882LTpk0CgPj888/bPD83N1cEBgaK9PR0cezYMfHOO+8ItVottm/fLk/AEnH279kdpaamijVr1oijR4+K7OxsMWnSJNGzZ09RVVWldGiS2bdvn+jVq5cYOnSomD17ttLhSOLSpUsiISFBPPzww2Lv3r0iNzdXfP311yInJ0fp0Fzu5ZdfFl27dhVbt24VeXl5YuPGjSI4OFi89dZbSofmEu3Vy8uXLxdhYWFi8+bN4ueffxZ33HGHSExMFFeuXFEmYCewbeyZbWMhvKt9zLYx28ZCuK5tzASKhRtvvFGkpaWZHzc2Noq4uDiRkZFh8/x7771XTJ482epYUlKS+N3vfidpnK7gaFmba2hoECEhIeKTTz6RKkSXcaasDQ0NYuzYseLDDz8UM2bMcJs3CCEcL+/7778vevfuLerq6uQK0WUcLWtaWpqYOHGi1bH09HQxbtw4SeN0NXveJJ555hkxaNAgq2P33XefSE1NlTAy6XW07nJnpaWlAoDYuXOn0qFIorKyUvTt21fs2LFDTJgwwWMTKM8++6wYP3680mHIYvLkyeLRRx+1OnbXXXeJadOmKRSRdJrXywaDQcTExIhXX33VfKy8vFxotVrx6aefKhChc9g29sy2sRDe1T5m25htYyFc1zbmEJ4mdXV1OHjwIFJSUszHfHx8kJKSgj179ti8Zs+ePVbnA0Bqamqr53cWzpS1uZqaGtTX16NLly5ShekSzpZ1yZIliIqKwsyZM+UI02WcKe+WLVuQnJyMtLQ0REdHY/DgwVi2bBkaGxvlCtspzpR17NixOHjwoLkrY25uLrZt24ZJkybJErOc3LV+aosr6i53VlFRAQCdvt51VlpaGiZPntzi99bTbNmyBaNHj8Y999yDqKgojBgxAqtXr1Y6LEmMHTsWmZmZOHXqFADg559/xu7du3HbbbcpHJn08vLyoNPprH6fw8LCkJSU5Db1FdvGntk2Bryrfcy2MdvGJq6qn3xdGZQ7u3DhAhobGxEdHW11PDo6GidOnLB5jU6ns3m+TqeTLE5XcKaszT377LOIi4vr9A1dZ8q6e/dufPTRR8jOzpYhQtdypry5ubn49ttvMW3aNGzbtg05OTl46qmnUF9fj8WLF8sRtlOcKesDDzyACxcuYPz48RBCoKGhAb///e/x3HPPyRGyrFqrn/R6Pa5cuYKAgACFInOeK+oud2UwGDBnzhyMGzcOgwcPVjocl9uwYQMOHTqE/fv3Kx2K5HJzc/H+++8jPT0dzz33HPbv348//OEP0Gg0mDFjhtLhudS8efOg1+vRv39/qNVqNDY24uWXX8a0adOUDk1ypragO7YTTdg29sy2MeBd7WO2jdk2NnFV25gJFHLY8uXLsWHDBmRlZcHf31/pcFyqsrIS06dPx+rVqxEZGal0OLIwGAyIiorCBx98ALVajVGjRuH8+fN49dVXO/WbhDOysrKwbNkyvPfee0hKSkJOTg5mz56Nl156CQsXLlQ6PKJWpaWl4ejRo9i9e7fSobhcYWEhZs+ejR07dnjce4otBoMBo0ePxrJlywAAI0aMwNGjR7Fq1SqPS6B89tlnWLduHdavX49BgwYhOzsbc+bMQVxcnMeVlbybJ7eNAe9rH7NtzLZxW5hAaRIZGQm1Wo2SkhKr4yUlJYiJibF5TUxMjEPndxbOlNXktddew/Lly/Gf//wHQ4cOlTJMl3C0rGfOnMHZs2cxZcoU8zGDwQAA8PX1xcmTJ9GnTx9pg+4AZ362sbGx8PPzg1qtNh8bMGAAdDod6urqoNFoJI3ZWc6UdeHChZg+fToee+wxAMCQIUNQXV2NJ554As8//zx8fDxnVGNr9VNoaKhb9j4BOlZ3ubNZs2Zh69at2LVrF3r06KF0OC538OBBlJaWYuTIkeZjjY2N2LVrF959913U1tZa1U/uLjY2FgMHDrQ6NmDAAPzrX/9SKCLp/PnPf8a8efNw//33AzDWufn5+cjIyPD4BIqpTiopKUFsbKz5eElJCYYPH65QVI5h29gz28aAd7WP2TZm29jEVW1jz/kf6SCNRoNRo0YhMzPTfMxgMCAzMxPJyck2r0lOTrY6HwB27NjR6vmdhTNlBYBXXnkFL730ErZv347Ro0fLEWqHOVrW/v3748iRI8jOzjZvd9xxB2655RZkZ2cjPj5ezvAd5szPdty4ccjJyTG/EQLAqVOnEBsb22nfIADnylpTU9PijcD05ig8ZFlNE3etn9ribN3lroQQmDVrFj7//HN8++23SExMVDokSdx6660t6t3Ro0dj2rRpyM7O9qjkCWCsc5svR33q1CkkJCQoFJF0WqtzLd9vPFViYiJiYmKs6iu9Xo+9e/e6TX3FtrFnto0B72ofs23MtrGJy+onh6ac9XAbNmwQWq1WrF27Vhw7dkw88cQTIjw8XOh0OiGEENOnTxfz5s0zn//DDz8IX19f8dprr4njx4+LxYsXu9VSbY6Udfny5UKj0Yh//vOfori42LxVVlYqVQS7OVrW5txplnEhHC9vQUGBCAkJEbNmzRInT54UW7duFVFRUWLp0qVKFcFujpZ18eLFIiQkRHz66aciNzdXfPPNN6JPnz7i3nvvVaoIdqusrBSHDx8Whw8fFgDEG2+8IQ4fPizy8/OFEELMmzdPTJ8+3Xy+aam2P//5z+L48eNi5cqVHrOMcVs/c0/y5JNPirCwMJGVlWVV79bU1CgdmuQ8eRWeffv2CV9fX/Hyyy+L06dPi3Xr1onAwEDx97//XenQXG7GjBmie/fu5mWMN23aJCIjI8UzzzyjdGgu0V69vHz5chEeHi6++OIL8csvv4g777zTLZcxZtvY89rGQnhX+5htY7aNhXBd25gJlGbeeecd0bNnT6HRaMSNN94ofvrpJ/NzEyZMEDNmzLA6/7PPPhPXX3+90Gg0YtCgQeKrr76SOWLnOVLWhIQEAaDFtnjxYvkDd4KjP1dL7vQGYeJoeX/88UeRlJQktFqt6N27t3j55ZdFQ0ODzFE7x5Gy1tfXixdeeEH06dNH+Pv7i/j4ePHUU0+Jy5cvyx+4g7777jubf4Om8s2YMUNMmDChxTXDhw8XGo1G9O7dW6xZs0b2uKXQ1s/ck9j6eQPwmJ9jWzw5gSKEEF9++aUYPHiw0Gq1on///uKDDz5QOiRJ6PV6MXv2bNGzZ0/h7+8vevfuLZ5//nlRW1urdGgu0V69bDAYxMKFC0V0dLTQarXi1ltvFSdPnlQ2aCewbWzkaW1jIbyrfcy2sRHbxh1vG6uE8LC+OURERERERERELsY5UIiIiIiIiIiI2sEEChERERERERFRO5hAISIiIiIiIiJqBxMoRERERERERETtYAKFiIiIiIiIiKgdTKAQEREREREREbXDV+kA3InBYEBRURFCQkKgUqmUDoeIyEwIgcrKSsTFxcHHx/Nz46yPiaiz8qb6mHUxEXVmUtTHTKA4oKioCPHx8UqHQUTUqsLCQvTo0UPpMCTH+piIOjtvqI9ZFxORO3BlfcwEigNCQkIAGH8AoaGhCkdDRHSNXq9HfHy8uZ7ydKyPiaiz8qb6mHUxEXVmUtTHTKA4wNQ1MTQ0lG8SRNQpeUsXatbHRNTZeUN9zLqYiNyBK+tjzx6YSURERERERETkAkygEBERERERERG1gwkUIqWUlgLHjysdBRFRS3V1wKFDwNWrSkdCREQkrcJC40ZkByZQiJRQWgqMHAkMHAisW6d0NERE1mbMAEaNAh54QOlIiIiIpHPiBNCrl3E7eVLpaMgNMIFCpIS//Q04f964n5EBCKFsPEREJidOABs2GPc//xw4ckTZeIiIiKSSlQUYDMZt506loyE3wAQKkdyEAD755NrjX381dpUnIuoEPpw+z/rAX/+qTCBERERSq621vU/UCiZQiOR26BBw9Kj1sbVrFQmFiMjK1au4++i31sf+7/+A6mpl4iEiIpISEyjkICZQiGS25ncvtjh2+cNPWGkTkfL++U9EXK0EADSompoIej3wj38oGBQREZFELCdL58TpZAcmUIjkVFuLqb9mAQCu+mqQ2ecGADB+YPnqKwUDIyKC1XCdZbfMtHmciIjIY7AHCjmICRQiOX31lfnb3a/7JmPtqCnXnuMwHiJS0q+/Art3AwBORvbEx6PvwK9RvY3P7dsHHD6sYHBEREQSYAKFHMQECpGcLCaP/dfgifghYRiKg7saD2zbBpSUKBQYEXk9i14m64ffBqhUWD/8f2w+T0RE5BGYQCEHMYFCJJdLl4xJEgC64C7Y3Ws4DD5qfD74FuPzjY2cZ4CIlNM0jLBW7YfPBxnrpc0Db0aNn9bqeSIiIo/BBAo5iAkUIrkcOQI0NAAAvr4+GQYfNQDg39ePu3YOu8gTkRJqa4G8PADAiW69oPcPBgBUawNxvFui8Zxz54CqKqUiJCIicj1OIksOYgKFSC45OebdM116mPdzu3S3eQ4RkWzOnAGEAADkdYmzeiqPdRQREXkq9kAhBzGBQiQXiw8e+RHXPqBUawNRFhTe4hwiItmcPGnezYvobvWUVZLX4jwiIiK3xwQKOYgJFCK5WCRHzkbEWj11NrwpoaLTsYs8Eclu+VtbzPtWCZPmj0+dkiskIiIi6TGBQg5iAoVILk0JlAaVD86HRlk9lW+ZUDlzRs6oiIiQeOm8eb95AiWPCRQiIvJUTKCQg5hAIZKDEObEyLmwaDSofa2ePssEChEpqLdFAuVshPUcKGfDYwGVyviAQ3iIiMiTMIFCDmIChUgOZWVAZSWAZr1NmuSHWxzjPChEJLPEy8YEii64C6q1gVbP1fppgZ49jQ9OnTJPNktEnd/58+fx4IMPomvXrggICMCQIUNw4MAB8/NCCCxatAixsbEICAhASkoKTp8+rWDERDLjKjzkICZQiOTQxvwnxmNxNs8lIpLc5cuIrKkA0Gy4jqXrrzf+W1FhTAgTUad3+fJljBs3Dn5+fvj3v/+NY8eO4fXXX0dERIT5nFdeeQVvv/02Vq1ahb179yIoKAipqam4yg+S5C3YA4Uc5Nv+KUTUYZYr8ITHtXjaqlcKEyhEJCeLeU2ar8Bj1q8fsGOHcf/kSSAqyvZ5RNRp/OUvf0F8fDzWrFljPpaYmGjeF0JgxYoVWLBgAe68804AwN/+9jdER0dj8+bNuP/++2WPmUh2TKCQg9gDhUgO7fRA0fsHA127tjiXiEhyFgmUM+31QGl2PhF1Xlu2bMHo0aNxzz33ICoqCiNGjMDq1avNz+fl5UGn0yElJcV8LCwsDElJSdizZ4/N16ytrYVer7faiNwaEyjkICZQiGTwxT93mfdtzYECAIc1kcadwkLgyhU5wiIisu6BwgQKkcfIzc3F+++/j759++Lrr7/Gk08+iT/84Q/45JNPAAA6nQ4AEB0dbXVddHS0+bnmMjIyEBYWZt7i4+OlLQSR1JhAIQcxgUIkg4TyIgCAASoUhsXYPMeqZ0penhxhERFZrazTagKlXz+b5xNR52UwGDBy5EgsW7YMI0aMwBNPPIHHH38cq1atcvo158+fj4qKCvNWWFjowoiJFMAECjmICRQiGfS6XAwAKArthjpfP5vncB4UIlJEU4+Seh81CsOibZ8THw9otVbnE1HnFhsbi4EDB1odGzBgAAoKCgAAMTHGL3RKSkqszikpKTE/15xWq0VoaKjVRuTWuAoPOYgJFCKpXbqE8KtVAGzPf2LClXiISHYGA9C0ZGlBeAwa1K3MLa9WA337GvdzcoDGRpkCJCJnjRs3Dieb9Rg7deoUEhISABgnlI2JiUFmZqb5eb1ej7179yI5OVnWWIkUIQR7oJDDmEAhkprlCjxtJFDyw9kDhYhkdv48UFMDAMiLaLlCmEmveV/h33VN3zTX1wNnz8oQHBF1xNy5c/HTTz9h2bJlyMnJwfr16/HBBx8gLS0NAKBSqTBnzhwsXboUW7ZswZEjR/DQQw8hLi4OU6dOVTZ4IjnU11s/NhiAhgZlYiG3wWWMiaRmtYRxGwkUDuEhIrlZDMfJ7dKjzVPzulgkWE6dAvr0kSoqInKBG264AZ9//jnmz5+PJUuWIDExEStWrMC0adPM5zzzzDOorq7GE088gfLycowfPx7bt2+Hv7+/gpETycRWj5PaWsCXH5GpdfztIJKanT1QLgWEQq8JRGhdDRMoRCQPe1bgaWKVYDl1CrjtNqmiIiIXuf3223H77be3+rxKpcKSJUuwZMkSGaMi6iRaS6AEBckfC7kNDuEhkppFMuRsG13koVJdS7Dk5wN1dRIHRkRez2oFnjbqJwC5ERYJFq7EQ0RE7q61BApRG5hAIZKaRQKloJUljE3yTQkWg4FzDBCR9Cx6oJxpZwhPbleLBApX4iEiIndna9UdrsRD7WAChUhqZ84AAHTBXXBF0/aYYqtVepquIyKSTG4uAKDGT4uyoIg2Ty0PCEWFNsjqOiIiIrfFHijkBCZQiKSk1wOlpQAsepe0wWqS2aalRYmIJCEEUFgIACgK6QaoVO1eUhTazbhz7pyxpxwREZG7YgKFnMAECpGU8vPNu4Vh0e2eXhBuMcTH4lqizmrXrl2YMmUK4uLioFKpsHnz5navycrKwsiRI6HVanHddddh7dq1ksdJNpSXm5cwLg6JtOsS83n19UBZmUSBERERyYAJFHICEyhEUjp/3rxrzwcUXUhXm9cSdVbV1dUYNmwYVq5cadf5eXl5mDx5Mm655RZkZ2djzpw5eOyxx/D1119LHCm10NT7BACKQ+1MoFieZ3E9ERGR22EChZzAZYyJpHTunHnXKjnSCl2wxTkW1xJ1Vrfddhtuc2A521WrViExMRGvv/46AGDAgAHYvXs33nzzTaSmpkoVJtlimUAJ6WbXJUWW5xUWAqNHuzoqIiIieTCBQk5gDxQiKVn0IrEngVLrp8Vl/5AW1xJ5ij179iAlJcXqWGpqKvbs2aNQRF7MIklbbEf9BAA6y550TPISEZE74yo85ATFEijV1dXQ6XTQ6XSorq7u8Ou1Nw5fCIFFixYhNjYWAQEBSElJwWlO0klSs0ygBNv7AaXpvKIiTtJIHken0yE62no+oOjoaOj1ely5cqXV62pra6HX66026iCrITx29kDhEB4iIvIU7IFCTpAtgaLX6/Hmm29i4sSJiIyMRGhoKLp3747u3bsjNDQUkZGRmDhxIlasWOFUw7i9cfivvPIK3n77baxatQp79+5FUFAQUlNTcZVZRpKS1RAe++YYMCdQ6uqACxekiIrI7WRkZCAsLMy8xcfHKx2S2/vXF9d6/RQ5OokswAQKERG5NyZQyAmyzIGyZcsWPPLIIygvL4cQAgAQHh6OoKAgAMbkx6VLl5CVlYWdO3di6dKlWLNmDaZMmWL3Pdoahy+EwIoVK7BgwQLceeedAIC//e1viI6OxubNm3H//fd3sIRErWjqgVLn44tLgaF2XWLVU+X8eSAqSorIiBQRExODkpISq2MlJSUIDQ1FQEBAq9fNnz8f6enp5sd6vZ5JlA6K1V9L0OrsnETWaigih/AQEZE7YwKFnCB5D5Q9e/bg7rvvRnV1NZ5++mns2rULVVVVuHTpEgoLC1FYWIhLly6hqqoKu3btwqxZs1BdXY27774be/fudUkMeXl50Ol0VuPuw8LCkJSUxHH3JK2mBEppcBcIlX1/biVciYc8WHJyMjIzM62O7dixA8nJyW1ep9VqERoaarVRx8RUGhMolZoAVGqD7Lrmqp8/0LWpjmIPFCIicmdMoJATJE+gLF26FD4+Pti5cydWrFiB8ePHIzAwsMV5gYGBGD9+PN566y18++23AICXXnrJJTHodDoAsDnu3vScLRxzTx1y5Qpw8SIA+5YwNinmJI3kRqqqqpCdnY3s7GwAxoR1dnY2CgoKABh7jjz00EPm83//+98jNzcXzzzzDE6cOIH33nsPn332GebOnatE+N5LCMQ1JVDsXYHHzNTz5/x5oLHRxYERERHJhAkUcoLkCZSffvoJt956K5KSkuy+Jjk5Gf/1X/+leO8QjrmnDikqMu+W2LnCBQCUNB/CQ9SJHThwACNGjMCIESMAAOnp6RgxYgQWLVoEACguLjYnUwAgMTERX331FXbs2IFhw4bh9ddfx4cffsgljOV28SL8G+oA2LdCmJUePYz/NjQApaUuDoyIiEgmXIWHnCD5HCh1dXXw9/d3+DqNRoO6ujqXxBATEwPAOM4+NjbWfLykpATDhw9v9TqOuacOsVqBp4vdl+k4hIfcyM0332ye28qWtWvX2rzm8OHDEkZF7bLo3VZk5wo8Zpbvg4WFgMX7KhERkdtgDxRyguQ9UAYMGIBvvvkGubm5dl+Tk5ODHTt2YMCAAS6JITExETExMVbj7vV6Pfbu3dvmuHuOuacOsfiAwiE8RNSpWC5h7ED9BKBlAoWIiMgdMYFCTpA8gfLUU0+hpqYGY8aMwTvvvIMii2ENzRUXF+Ptt9/G2LFjceXKFcyaNcvu+7Q1Dl+lUmHOnDlYunQptmzZgiNHjuChhx5CXFwcpk6d2sESErXCoveII0N4KvyDAVOvLfZAISIpdCSBYhrCAzDJS0RE7osJFHKC5EN4Hn74YWRnZ+Ptt9/GnDlzMGfOHHTr1g09evQwTyZbU1ODc+fOoaysDIBx2eE5c+ZYTTzYngMHDuCWW24xPzYNvZkxYwbWrl2LZ555BtXV1XjiiSdQXl6O8ePHY/v27U4NLyKyi+UQHkfmGFCpgO7dgTNnmEAhImlYJlDsXMLYjD1QiIjIEzCBQk6QPIECACtWrMDtt9+ON954A9999x1KS0tRamPiOa1Wi4kTJyI9PR233nqrQ/dobxy+SqXCkiVLsGTJEofjJ3LGtn/vx6SmfZ2D3/D+VBeAMQBQUQFUVQHBwa4Oj4i8meUcKM6uwgMwgUJERO6LCRRygiwJFABISUlBSkoKrl69ipMnT6KgoABVVVUAgODgYPTs2RP9+vVjjxDyGDFVF837JQ5MIgvYmEi2Xz9XhUVEZJX4cHgVnu7dr+1zCA8REbkrrsJDTpAtgWLi7++PYcOGYdiwYXLfmkhW0ZWXAAAXAsNQr/Zz6Fpd86WMmUAhIldqSqDotUGo1gY6dq2/P9CtG1BWxh4oRETkvtgDhZwg+SSyRF6psRFR1cYEiqPDd1pcw3lQiMiVhDD3HClyon7qNe8rHPFpWpWuqAhobHRldERERLLYkV3Q4tg3h1seI7Ikaw+Uw4cP48svv8Qvv/yC/Px8VFZWAgBCQkKQkJCAoUOHYsqUKRgxYoScYRG5Xmkp/AzGDxU6B4fvAM261LOLPBG5UlkZUFcHwIkJZJsUh3bDkJIzxuSJTmc9rIeIiMgNaBvqWxzT2DhGZEmWBMrZs2fx6KOPYufOnQBgc7LXgwcPYtOmTXjxxRdx880346OPPkKvXr3kCI/I9Zxcwth8TfMhPERErtKRJYzN11nUUYWFTKAQEZHb0TTaSKDYOEZkSfIESlFREcaMGYPS0lIMHToU//u//4uRI0eiR48eCAoKAgBUV1fj3LlzOHToEDZu3IjvvvsOycnJOHjwIOLi4qQOkcj1LJIeznxAKeYQHiKSikWvNucTKBYr9xQWAmPGdDQqIiIiWTGBQs6QPIGycOFClJaW4o033sCcOXNaPW/o0KGYNGkSFixYgDfeeAN/+tOfsGjRInz44YdSh0jkehYfUKx6k9ipLDgCjSofqIWBQ3iIyLUse6CEOriEcZMiy6E/rKOIiMgNmYbw1Pn4QgUBP0MjtA11CkdFnZ3kk8hu374dSUlJbSZPmktPT0dSUhL+/e9/SxcYkZQseo04vEQogEYfNS4Ehbd4LSKiDnPBEB6ria65Eg8REbkhU2+TOl8/1DWtmMkeKNQeyRMoly5dcmouk4SEBFy6dMn1ARHJoYNDeIzXNSVedDqgnpU5EbmICxIoRUygEBGRmzMnUNRMoJD9JE+g9OzZE99//z1qamrsvqampgbff/894uPjJYyMSEKWQ3ic6IECWAz9EcKYRCEicgUXzIFS0nwSWSLq9JYvXw6VSmXVK/zq1atIS0tD165dERwcjLvvvhslJSXKBUkkI9OKO3VqX9T5NiVQGhqUDIncgOQJlPvuuw9FRUVITU3FL7/80u75v/zyC1JTU6HT6fDAAw9IHR6RNJp6oFT7+aNSE+jUS1gN/eEwHiJylaaER7l/MK5o/J16iXq1H8pMwww5BwpRp7d//3789a9/xdChQ62Oz507F19++SU2btyInTt3oqioCHfddZdCURLJy9TbpNZXwx4oZDfJJ5F97rnnsGPHDvzwww8YMWIE+vTpY16FJzDQ+MGypqbGvArPmTNnIITAmDFjMH/+fKnDI3I9IcwfKHQhXQGVyqmX4VLGRORyBoO5PnG294lJUUg3dKsuB4qLgYYGwFfyJgUROaGqqgrTpk3D6tWrsXTpUvPxiooKfPTRR1i/fj0mTpwIAFizZg0GDBiAn376CWO4uhZ5OMshPCohAABaJlCoHZK3dvz9/ZGVlYWXXnoJK1euRE5ODnJycgAAqqYPlqLpFxYAwsLCMGvWLCxYsABarVbq8IhcT68HqqsBODeBrInVhxt+w0tErlBaap5TqaMJFF1IVwzTnTYmZYqLAQ67JeqU0tLSMHnyZKSkpFglUA4ePIj6+nqkpKSYj/Xv3x89e/bEnj17bCZQamtrUVtba36s1+ulDZ5IQuZVeNR+UKEpgcJVeKgdsnxdpNVqsXTpUixevBg//PADfv75ZxQUFKCqqgoAEBwcjJ49e2LYsGEYN24c/Pz85AiLSBqWK/A4sYSx+VrLDzfsgUJErmA5/0loB3ugWC6BfO4cEyhEndCGDRtw6NAh7N+/v8VzOp0OGo0G4eHhVsejo6Oha2XutYyMDLz44otShEokL4MBGoNxvhOrBEpjvbE3uZM9yMnzydrf1s/PDzfffDNuvvlmOW9LJC+LDyi6DnzDa9V7hT1QiMgVXLACj4mu+USyyckdej0icq3CwkLMnj0bO3bsgL+/c/MdNTd//nykp6ebH+v1ei76QO6p7lpPkzpfP2PSxKS+HtBoFAiK3IHkk8gSeR0XrHABNOu9wgQKEbmCVf3UrY0T22d1Pesook7n4MGDKC0txciRI+Hr6wtfX1/s3LkTb7/9Nnx9fREdHY26ujqUl5dbXVdSUoKYmBibr6nVahEaGmq1Ebkli6FotRbLGDd/jqi5TptAKSkpQUFBgdJhEDnORT1Qrmj8Ue4f3OI1iYicZtUDxfkhhi2u51LGRJ3OrbfeiiNHjiA7O9u8jR49GtOmTTPv+/n5ITMz03zNyZMnUVBQgGT2KCNPZ5lA8fUzL2Pc/Dmi5jrtlPlTp07F/v370cC1uMndWH3D29EPKJEIv1plnAOF4zGJqKOs5kDpYA8Uy+uZQCHqdEJCQjB48GCrY0FBQejatav5+MyZM5Geno4uXbogNDQUTz/9NJKTk7kCD3k+iySJ5So8zZ8jaq7T9kABrFfnIXIblpPIumqOgbo64MKFDr0WEdG+738273c0wVsS3OVaUpe95Ijc0ptvvonbb78dd999N37zm98gJiYGmzZtUjosIuldvWrerVM364Fi8RxRc522BwqR22r6IFGr9sWlwI6NDW6xlHG3jn1jTETeLbbyIgDgsn8Irvp1bFLJerUfEB0N6HTsgULkJrKysqwe+/v7Y+XKlVi5cqUyAREppXkPFLAHCtlH8gTKxIkTnbru2LFjLo6ESCZNCZSS4K4Qqo518tI1T6CMGNGh1yMiL2YwILopgaLrYO8Tsx49jAmU4mLjqgV+fu1fQ0REpDTLBIovh/CQ/SRPoGRlZUGlUjk1HEfF+R7I3dTUAJcuAej4EqHG1+BKPETkIqWl0BiM84oVdXD+E7P4eODAAeMcTcXFQM+ernldIiIiKTVbhceHCRSyk+QJlLCwMOj1enzzzTcICQmx+7rHHnuMvVDI/VjMf1Ligm94S7iUMRG5isUwG5f2QDE5d44JFCIicg/NeqAwgUL2kjyBMnr0aHz77bfQaDRISkqy+7rg4GAJoyKSiNUKPK7ogdJsCA8RkbMs6pCiEBf2QDHhPChEROQuWqzCY/s5ouYkX4XHlDQ5cOCA1LciUp7FBxRXfMOrC2UChYhcxKoHSscTvABa9kAhIiJyB81W4anlKjxkJ8l7oIwdOxahoaE4fvy4Q9dNnjwZ/fv3lygqIom4uAdKpSYQCA4Gqqr44YSIOsayB0qoixIo7IFCRETuqNkcKFyFh+wleQJl0qRJuHz5ssPXLViwQIJoiKT1yT9/wIymfZd8w6tSGb/hPXHCOL+KEMZjRESOYg8UIiIiI67CQ06SfAgPkTeJbVoiFGi2gk4HfH/F37hTXQ1UVLjkNYnIC1n1kHNN/dR3ZTYMaErqsgcKERG5C6seKBrUqf1sPkfUHBMoRC4UU3kBANCg8kFZUIRLXlPHiWSJyBWaEhyX/UNw1c/fJS9Zr/bDhaBw4wPWT0RE5C6a9UCp82UChezDBAqRC8U2JVDKgiJg8FG75DWtJqPlBxQicobBYF5mvdhV8580Mc+nUlwM1Ne79LWJiIgk0WwVnlq1xuZzRM0plkBZsmQJtmzZYn78xRdfYMmSJUqFQ9RxdXXoVl0OwIXzC4AJFCJygZISoKEBgGsmuLZkru+EMCZRiIiIOrtmq/DUcRUespNiCZQXXngBmzdvNj/evHkzXnzxRaXCIeq4oiLzrqvmFzC+FofwEFEHuXiFMEtWr8d5UIiIyB1Y9UDx5RwoZDfJV+Eh8hoWH1Bc2wOFCRQi6iCLxAYTKERE5PVarMJj+zmi5phAIXKVpvkFANd+QLHqzWJxDyIiu1n2QHHxHCjsJUdERG6n2So8XMaY7MVJZIlcxaoHiuuG8FwOCEWtqVshP5wQkTOk7IESyh4oRETkZrgKDzmJCRQiV5HqG16V6toHHiZQiMgZks6B0s3mfYiIiDotqx4ofqhT+9p8jqg5JlCIXEWiOVCMr9fUo6W8HKiqculrE5EXyM8377o6gVIS3AWNqqbmxNmzLn1tIiIiSTRbhafWV2PzOaLmmEAhchWLBEpJcBeXvrSO86BQJ7dy5Ur06tUL/v7+SEpKwr59+1o9d+3atVCpVFabv7+/jNF6odxcAMa6qdZP69KXblD7XkvK5OW59LWJiIgkYbUKjx9X4SG7MYFC5CpNCZSywHDUW1bCLsCVeKgz+8c//oH09HQsXrwYhw4dwrBhw5CamorS0tJWrwkNDUVxcbF5y7foIUEuVlUFlJQAAPLDYyS5RX5E0+tevmzciIiIOjPLITy+TKCQ/bwqgfLCCy+0+Nazf//+SodFnqCxESguBuDaCWRNuEwodWZvvPEGHn/8cTzyyCMYOHAgVq1ahcDAQHz88cetXqNSqRATE2PeoqOjZYzYy1j0CimUKIFSEGbxuk29XYiIiDqt5j1QOIks2cmrEigAMGjQIKtvPXfv3q10SOQJzp0zJlEAFId2a+dkxxVZvia/qadOpK6uDgcPHkRKSor5mI+PD1JSUrBnz55Wr6uqqkJCQgLi4+Nx55134tdff23zPrW1tdDr9VYb2enMGfNufnisJLewSswwgUJERJ1d81V42AOF7OR1CRRfX1+rbz0jI107mR55KasPKK7/hrfA8jUt7kWktAsXLqCxsbFFD5Lo6GjodDqb1/Tr1w8ff/wxvvjiC/z973+HwWDA2LFjca6N4WkZGRkICwszb/Hx8S4th0ezSGgUSDWExzIxwzqKiIg6O4skSb2PL1fhIbt5XQLl9OnTiIuLQ+/evTFt2jQUFBS0ei6/8SS7WXxAkeIbXnaPJ0+SnJyMhx56CMOHD8eECROwadMmdOvWDX/9619bvWb+/PmoqKgwb4UcymY/i4SGVV3iQgXsgUJERO6kaaWdWrUfoFJBqHxQa0qicBUeaoNv+6dIY8aMGRg/frz5seW+VJKSkrB27Vr069cPxcXFePHFF3HTTTfh6NGjCAkJaXF+RkYGXnzxRcnjIg9g+QFFgm94r2j8URoUgajqy/x2lzqVyMhIqNVqlDRNUmpSUlKCmBj7/hb8/PwwYsQI5OTktHqOVquFVuva1WO8hmUPlAipJpFlDxQiInIjTb1Mai2G7tSp/aBtbGAPFGqTYj1Q1qxZg0cffdT8eObMmVizZo2k97zttttwzz33YOjQoUhNTcW2bdtQXl6Ozz77zOb5/MaT7GY5hCdCmjkGzD1bdDqgulqSexA5SqPRYNSoUcjMzDQfMxgMyMzMRHJysl2v0djYiCNHjiA2Vpq/Ha9nSqAEBeFCYLgkt9D7BwPh4db3IyIi6qxMCRRfjfmQeR4UJlCoDV43hMdSeHg4rr/++la/9dRqtQgNDbXaiGxqSqA0qnysJ3x1oYJwizkm+AGFOpH09HSsXr0an3zyCY4fP44nn3wS1dXVeOSRRwAADz30EObPn28+f8mSJfjmm2+Qm5uLQ4cO4cEHH0R+fj4ee+wxpYrguRobr63C07s3oFJJd6/evY3/FhQA9fXS3YeIiKijmpIkdc16oFg+R2SLYkN4ampqcODAARQXF6O2jV/Shx56SLIYqqqqcObMGUyfPl2ye5AXEMKcQCkK7YZ6y1m8Xaig+SSNQ4ZIch8iR913330oKyvDokWLoNPpMHz4cGzfvt08sWxBQQF8fK7l6y9fvozHH38cOp0OERERGDVqFH788UcMHDhQqSJ4rvPnzcmMb64GSXuvPn2AQ4cAg8G4Wth110l7PyIiImeZEii+1z4Om5cyZgKF2qBIAmXRokV48803UVNT0+o5QgioVCqXJlD+9Kc/YcqUKUhISEBRUREWL14MtVqN3/72ty67B3mhS5eAigoA0qzAY8I5BqgzmzVrFmbNmmXzuaysLKvHb775Jt58800ZoiKpVwizYuqBAhh7yTGBQkREnRV7oJCTZE+gvPLKK1i6dCnUajUmT56M66+/3uYErlI4d+4cfvvb3+LixYvo1q0bxo8fj59++gndukkz5IK8hNUSodLN4cBVLojIYTIsYWzWp8+1fSZ5iRSXkZGBTZs24cSJEwgICMDYsWPxl7/8Bf369TOfc/XqVfzxj3/Ehg0bUFtbi9TUVLz33nstlqYn8jhNK+1YJlDM86FwFR5qg+wJlNWrVyMgIADff/89Ro4cKeu9N2zYIOv9yEtYTSArYQ+U5kN4iIjaY7VCmMST9DbvgUJEitq5cyfS0tJwww03oKGhAc899xz++7//G8eOHUNQkHFI39y5c/HVV19h48aNCAsLw6xZs3DXXXfhhx9+UDh6Igk1Nho3NJ9EtumjcX29cTiqj1dPF0qtkD2BUlhYiIkTJ8qePCGSjFUXeek+oFwMDAOCg4GqKiZQiMg+MvZAGf/PfOy2cV8iUsb27dutHq9duxZRUVE4ePAgfvOb36CiogIfffQR1q9fj4kTJwIwrpI5YMAA/PTTTxgzZowSYRNJz2KIjs0hPABQVwf4+8sZFbkJ2dNqMTEx5qw3kUeQ6xtelQrHAo3Dzepz84CGBunuRUSeoal+MkCFc2FRkt6qOCQS9T5qq/sSUedR0TRfW5cuXQAABw8eRH19PVJSUszn9O/fHz179sSePXsUiZFIFvYkUDgPCrVC9gTK/fffj6ysLFRXV8t9ayJJ7P3PfvO+1N/wmnq4+BkagcJCSe9FRB6gqSdIUWikZCuEmTT6qHE+NOrafYWQ9H5EZD+DwYA5c+Zg3LhxGDx4MABAp9NBo9EgPDzc6tzo6GjodDqbr1NbWwu9Xm+1EbkdywSKr+UcKEygUPtkT6C88MILGDBgAO644w7k5OTIfXsil+t5uRgAcDEgFFXaQEnvZZWg4Te8RNSW8nLjKmGQYf6TJuY6qrISuHBBlnsSUfvS0tJw9OjRDs8HmJGRgbCwMPMWHx/vogiJZMQeKNQBss+BMmnSJBgMBmRlZWHAgAFISEhAjx494GNjkh6VSoXMzEy5QySy39WriK26CECeDyhciYeI7CbnCjy27pObC3CVOyLFzZo1C1u3bsWuXbvQo0cP8/GYmBjU1dWhvLzcqhdKSUkJYmJs1xnz589Henq6+bFer2cShdyPxSo7teprH4ctJ5TlSjzUGtkTKFlZWeb9xsZG5ObmIreVD4IqlUqmqIiclJdn3pVyBR7zPbgSDxHZS4EEilUdlZsLJCXJcl8iakkIgaeffhqff/45srKykJiYaPX8qFGj4Ofnh8zMTNx9990AgJMnT6KgoADJyck2X1Or1UKr1UoeO5GkLHqXWK/Cwx4o1D7ZEyh5Fh84idyeTCvwmO8RwQQKEdnJaoJrBXqgsI4iUlRaWhrWr1+PL774AiEhIeZ5TcLCwhAQEICwsDDMnDkT6enp6NKlC0JDQ/H0008jOTmZK/CQZ+MQHuoA2RMoCQkJct+SSDpyrcDTpCi0G+p91MZJZPnhhIjaokAPlEIOMyTqNN5//30AwM0332x1fM2aNXj44YcBAG+++SZ8fHxw9913o7a2FqmpqXjvvfdkjpRIZq0mUHxtnkNkSfYECpFHseyBIsMQHtMqF73Ki433FgLgUDcisuX4cfPu2Yg4WW6Zb5lAsbg/EclP2LESlr+/P1auXImVK1fKEBFRJ9HKKjx1XIWH7CD7KjxEHkXmITwAV7kgIjsYDEB2NgDgfEg36P2DZblttTbwWhLll1+AxkZZ7ktERGQ3DuGhDmAChagjmhIoV3y1KAuKkOWWnAeFiNqVl2dMsgI4Ft1b1lv/GtV0v5oa4PRpWe9NRETULosVdiyTJlyFh+zBBAqRsxobzavwFIRHyzaUpiDMoot8To4s9yQiN3P4sHn3WJTMCZToPjbjICIi6hTs6YHCBAq1ggkUImedOAHU1QEAcrrGy3bb05EW9/r5Z9nuS0RuxCJx8avcPVAs78cEChERdTYWQ+ArLIa46rVB1865eFHOiMiNMIFC5KwDB8y7R2L6ynbbozHX2YyBiMjMKoHSp40TXc+qxwsTKERE1NkUF5t3S4K72Ny3PIfIEhMoRM46eNC8+4tlUkNiF4IiUBQSaXxw6JBxskgiIkumxEVEBM6HdpP11qXBXYCoqGtx2LESCBERkWwskiOlwREW+0ygUPuYQCFylkXvj6MyJlAA4Ijpfno950EhIms6nXEDgBEj5F/qXKUy3hcwdoE+d07e+xMREbXFKoHSxeY+EyjUGiZQiJzR0GD+hvdseKxsS4Sa/GI5ZIjDeIjIkuWwGVMiQ2bvVYRce8BhPERE1Jk0JUdq1b4o97/2fnU5IAT1Pmqrc4iaYwKFyBnHjpln5z4ic+8TgPOgEFEbsrPNu7NPKhPCr1EW865YxENERKS4oiIAQFlQF6temkLlg9KgLlbnEDXHBAqRM6zmP5FvAlkTq6SNRSxEREouYWzClXiIiKhTqqszr8JjOf+JSZnpWFmZscc5UTNMoBA5Q8H5TwDgUmAYkJBgfHDoENDYKHsMRNRJNSUsrvpqkNu1hyIh5EfEolITYBUPERGR4kpKzLtWc540PyaE1blEJkygEDkh+/P/mPePxsi7RKjJv7XdjTtVVcCpU4rEQESdjMXE0ie69UKjaSy3zITKB8ejEo0P8vOBS5cUiYOIiMiK5QSyQTYSKEERNs8lMmEChchR9fUYUJoHAMiNiEOlNkiRMDiMh4ha+Pln867VMBoF/BrNeVCIiKiTsZjbpMRGDxSrY5wHhWxgAoXIUb/+Cm1jPQDgiALzn5hwJR4iasFiuIxVAkMBVvOvcBgPERF1BlZLGLecA4VLGVN7mEAhcpRFsuIXBeY/MbEaOsQEChEBVnXBrwpNIGtyzLIHzP79ygVCRERkYpEUKbM1hIcJFGoHEyhEjlJ4AlmT8oBQFIRFGx8cPsyJZIm8XUMDsG0bAKDazx8nTHOQKORkZAL0piGOX38N1NcrGg8REZF1DxTOgUKOYwKFyFFN840YoFK8i7x5GE9NDXDihKKxEJHCfvwRuHgRALAzcSRqfTWKhtOg9sV3vUcbH5SXA7t2KRoPERFRe3OglAZ3tXkukQkTKESOuHzZPEljXpfuqNIGKhrOkViLHjBZWYrFQUSdwObN5t1vrk9WLg4L3/Qdc+2BRXxERESKMPUq8fXFpcDQFk9fDAwFfHyszyWywAQKkSM2bTJ3Q8/qPUrhYIBdiSOvPdiwQblAiEhZQlxLUKjV+LbPDYqGY7Kz9yjUqn0BAEWfbDDGSUREpBRTUiQ6GkLV8qOwwUcNREdbn0tkgQkUIkesX2/e3TLgNwoGYnS8WyJOd403Pti9GygoUDYgIlLGkSNAnnF5ddx8M/T+wcrG06RKG4gfE4YBAOIqLwCHDikcERERea2GBqC01LgfG9v6eabnSko4xyC1wAQKkb2Ki4HvvgMAnA2Pxc+x1yscEACVCl8MnHDtMXuhEHkny+ExU6cqFYVN3/S1GE7EYTxERKSU0lLAYDDux8W1fp7pucZGoKxM+rjIrTCBQmSvzz4zdz/fMuA3gEqlcEBGX1r2hPn0U+UCISLlWCYm7rxTsTBs+c91STCgqb5kAoWIiJRiOSTHnh4oza8hAhMoRHY7/Jf3zftbLHt9KCw/Ig7ZsU2r8WRnczUeIm+Tn29cyhzALzHXodfKXxQOyFpZcAQOx/UzPjh6FMjJUTYgIiLyTkygkAswgUJkj9xcjCg+CQA43q0XciJ7KhyQtS8HWCR02AuFyLt8/rl512rVm07km+st4tq0SblAiIjIezGBQi7ABAqRPSzmFvli4M3KxdGKL/vfdK2L/KefcqULIm9RWQm88or5YadNoFjOg/L660BFhXLBEBGRd7JMhtgzB0rza4jABApR+2prgbVrzQ+/7ASr7zRXGtIVP/UcYnxw+jSQlaVoPEQkk2XLzI27HdfdiFPdeikbTyvyunTHV/3GGR+UlgJLligbEBEReZ+iIvPu7f880+ppd/zL4jmLa4gAJlCI2rdwoTEpAWBv/GCcD4tSOCDbNg2eeO3BzJnGb6aJyHOdPg288YZxX6PBSxMfVzaediy7ZSau+moAAPUr3gKOH1c4IiIi8ioWvUlKgyJaPa00qIvNa4gAJlCI2rZrF/DaawCAWrUvFqf8TuGAWrdp0C040H2A8UFeHpCermxARCSt9HSgrs64/6c/oSCijfHcncD5sCi8n/S/AAA/QyMwZw6HGxIRkXyakiEGqHAxKLzV0y4EhV8bGs8ECjXDBApRa/R6nJtyj7mB//pN03EiKlHhoFpn8FFj7u1/RJUmwHjgww+BLVuUDYqIpLFmDbB1q3G/e3dg/nxl47HTX5PuwrnQbsYH33wD/PWvygZERETeoykZciEoHI0+6lZPa1D74mJgmNU1RCZel0BZuXIlevXqBX9/fyQlJWHfvn1Kh0SdUVERcO+96KEvBWAcuvPhDVOVjckOheExWGLZjX/mTGD7duUCIq/haN26ceNG9O/fH/7+/hgyZAi2bdsmU6RurqEB+NOfgEcfNR/6w8gH0GvpTgWDst9VP3+8fMvMaweefNLYE6W+XrGYiIjtY/ICBgOg0wEASoO7tHMyUBbcNMSnuJi9JcmKVyVQ/vGPfyA9PR2LFy/GoUOHMGzYMKSmpqK0tFTp0KizaGgA3n8fGDAA+PprAEClJgB/nDwXhjYy1Z3JZ0P/CzuuSzI+uHABuO024IEHmEEnyThat/7444/47W9/i5kzZ+Lw4cOYOnUqpk6diqNHj8ocuRtpbAS++w74n/8xrmLTZN3w/8GWTjixdVv+3W8c1oyacu3AW28B//VfQGamsQ4mIlmxfUxe4cIF83tMW/OfmJjnQamvBy5elDIycjMqIbwnpZaUlIQbbrgB7777LgDAYDAgPj4eTz/9NObNm9fu9Xq9HmFhYag4dgyhISFSh0uOsvxVbr4vhDHzbDAYK8K6OuDqVWOFWFYGFBYCu3cDP/wAVFWZL70QGIa5t/8R3yeOlLEgHRd2pRLvfZGBcfm/XDuoUgFDhwITJgCDBgGRkUC3bkBQEKDVAhoNoFYbz/PxMf5rea2tfeo09JWVCBs4EBUVFQgNDZX13o7Wrffddx+qq6ux1TQEBcCYMWMwfPhwrFq1yq57uk193NpbrKleMtVNjY3GrbYWqKkBqquNSc/8fODMGWDbNuPqNSa+vsBbb6FXfk+3/Zu8P3s7luxYBY3BImnSrZsx6du3L5CQAMTGGuuowEBjPaVWGzdTHWXabHHT/xdyf0rWx87oSPvYbepi8m4VFcCPPwJPPAEA2DD0vzHvtj+0eckr21bg3iP/MT748ENgzBggLEzqSMnFpKiPfV3yKm6grq4OBw8exHyLceI+Pj5ISUnBnj17bF5TW1uL2tpa8+OKigoAgH7gQGmDpU7hXwNvwes3PQh9QAhQW6N0OA657KPGb6c+jzuPZeFPu/4PEbVVxg9qP/9s3Mjj6Jv+lTsn7kzdumfPHqQ3m+Q4NTUVmzdvbvU+rI+vKQsMxx8nz8Gh090AXFE6HKetH/Ab/BoWjTe+egPR1ZeNB8vKgL/9TdnAiDpIqfrYGY7W4ayLyRMUaINhaKdtf9Y/1Py3jMcekzwmkoYU9bHXJFAuXLiAxsZGREdHWx2Pjo7GiRMnbF6TkZGBF198scXxeEkipE7n2HfGzY2927SR97h48SLCZPyGxJm6VafT2Txf1zQ22RbWxxZqyoGNLygdhUsUAtja7llE7knu+tgZjtbhrIvJI+zfZNza8GzTRp7BlfWx1yRQnDF//nyrb0nLy8uRkJCAgoKCTv+G2FF6vR7x8fEoLCx0i+6nHeVN5WVZPVNFRQV69uyJLl3anxjNHbE+9o7fY5bVc3lTeT25PmZd7B2/w4B3lZdl9VxS1Mdek0CJjIyEWq1GSUmJ1fGSkhLExMTYvEar1UKr1bY4HhYW5hW/cAAQGhrqNWUFvKu8LKtn8vGRd25wZ+rWmJgYh84HWB8D3vV7zLJ6Lm8qr9z1sTMcrcNZF3vX7zDgXeVlWT2XK+vjzl+zu4hGo8GoUaOQmZlpPmYwGJCZmYnk5GQFIyMicl/O1K3JyclW5wPAjh07WBcTEcmM7WMiIsd4TQ8UAEhPT8eMGTMwevRo3HjjjVixYgWqq6vxyCOPKB0aEZHbaq9ufeihh9C9e3dkZGQAAGbPno0JEybg9ddfx+TJk7FhwwYcOHAAH3zwgZLFICLySmwfExHZz6sSKPfddx/KysqwaNEi6HQ6DB8+HNu3b28xcVZrtFotFi9ebLProqfxprIC3lVeltUzKVnW9urWgoICq66TY8eOxfr167FgwQI899xz6Nu3LzZv3ozBgwfbfU/+bD0Ty+q5vKm87lbWjrSP3a2sHeFNZQW8q7wsq+eSorwq4Q5rrBERERERERERKchr5kAhIiIiIiIiInIWEyhERERERERERO1gAoWIiIiIiIiIqB1MoBARERERERERtYMJlGZWrlyJXr16wd/fH0lJSdi3b1+b52/cuBH9+/eHv78/hgwZgm3btskUacc5UtbVq1fjpptuQkREBCIiIpCSktLu/01n4ujP1WTDhg1QqVSYOnWqtAG6mKPlLS8vR1paGmJjY6HVanH99de7ze+yo2VdsWIF+vXrh4CAAMTHx2Pu3Lm4evWqTNE6b9euXZgyZQri4uKgUqmwefPmdq/JysrCyJEjodVqcd1112Ht2rWSxykHZ/+e3U1GRgZuuOEGhISEICoqClOnTsXJkyeVDktyy5cvh0qlwpw5c5QORTLnz5/Hgw8+iK5duyIgIABDhgzBgQMHlA7L5RobG7Fw4UIkJiYiICAAffr0wUsvvQRPWb+gvXpZCIFFixYhNjYWAQEBSElJwenTp5UJtgPYNrbN3dvGgHe1j9k2bh3bxg4SZLZhwwah0WjExx9/LH799Vfx+OOPi/DwcFFSUmLz/B9++EGo1WrxyiuviGPHjokFCxYIPz8/ceTIEZkjd5yjZX3ggQfEypUrxeHDh8Xx48fFww8/LMLCwsS5c+dkjtxxjpbVJC8vT3Tv3l3cdNNN4s4775QnWBdwtLy1tbVi9OjRYtKkSWL37t0iLy9PZGVliezsbJkjd5yjZV23bp3QarVi3bp1Ii8vT3z99dciNjZWzJ07V+bIHbdt2zbx/PPPi02bNgkA4vPPP2/z/NzcXBEYGCjS09PFsWPHxDvvvCPUarXYvn27PAFLxNm/Z3eUmpoq1qxZI44ePSqys7PFpEmTRM+ePUVVVZXSoUlm3759olevXmLo0KFi9uzZSocjiUuXLomEhATx8MMPi71794rc3Fzx9ddfi5ycHKVDc7mXX35ZdO3aVWzdulXk5eWJjRs3iuDgYPHWW28pHZpLtFcvL1++XISFhYnNmzeLn3/+Wdxxxx0iMTFRXLlyRZmAncC2sWe2jYXwrvYx28ZsGwvhurYxEygWbrzxRpGWlmZ+3NjYKOLi4kRGRobN8++9914xefJkq2NJSUnid7/7naRxuoKjZW2uoaFBhISEiE8++USqEF3GmbI2NDSIsWPHig8//FDMmDHDbd4ghHC8vO+//77o3bu3qKurkytEl3G0rGlpaWLixIlWx9LT08W4ceMkjdPV7HmTeOaZZ8SgQYOsjt13330iNTVVwsik19G6y52VlpYKAGLnzp1KhyKJyspK0bdvX7Fjxw4xYcIEj02gPPvss2L8+PFKhyGLyZMni0cffdTq2F133SWmTZumUETSaV4vGwwGERMTI1599VXzsfLycqHVasWnn36qQITOYdvYM9vGQnhX+5htY7aNhXBd25hDeJrU1dXh4MGDSElJMR/z8fFBSkoK9uzZY/OaPXv2WJ0PAKmpqa2e31k4U9bmampqUF9fjy5dukgVpks4W9YlS5YgKioKM2fOlCNMl3GmvFu2bEFycjLS0tIQHR2NwYMHY9myZWhsbJQrbKc4U9axY8fi4MGD5q6Mubm52LZtGyZNmiRLzHJy1/qpLa6ou9xZRUUFAHT6etdZaWlpmDx5covfW0+zZcsWjB49Gvfccw+ioqIwYsQIrF69WumwJDF27FhkZmbi1KlTAICff/4Zu3fvxm233aZwZNLLy8uDTqez+n0OCwtDUlKS29RXbBt7ZtsY8K72MdvGbBubuKp+8nVlUO7swoULaGxsRHR0tNXx6OhonDhxwuY1Op3O5vk6nU6yOF3BmbI29+yzzyIuLq7TN3SdKevu3bvx0UcfITs7W4YIXcuZ8ubm5uLbb7/FtGnTsG3bNuTk5OCpp55CfX09Fi9eLEfYTnGmrA888AAuXLiA8ePHQwiBhoYG/P73v8dzzz0nR8iyaq1+0uv1uHLlCgICAhSKzHmuqLvclcFgwJw5czBu3DgMHjxY6XBcbsOGDTh06BD279+vdCiSy83Nxfvvv4/09HQ899xz2L9/P/7whz9Ao9FgxowZSofnUvPmzYNer0f//v2hVqvR2NiIl19+GdOmTVM6NMmZ2oLu2E40YdvYM9vGgHe1j9k2ZtvYxFVtYyZQyGHLly/Hhg0bkJWVBX9/f6XDcanKykpMnz4dq1evRmRkpNLhyMJgMCAqKgoffPAB1Go1Ro0ahfPnz+PVV1/t1G8SzsjKysKyZcvw3nvvISkpCTk5OZg9ezZeeuklLFy4UOnwiFqVlpaGo0ePYvfu3UqH4nKFhYWYPXs2duzY4XHvKbYYDAaMHj0ay5YtAwCMGDECR48exapVqzwugfLZZ59h3bp1WL9+PQYNGoTs7GzMmTMHcXFxHldW8m6e3DYGvK99zLYx28ZtYQKlSWRkJNRqNUpKSqyOl5SUICYmxuY1MTExDp3fWThTVpPXXnsNy5cvx3/+8x8MHTpUyjBdwtGynjlzBmfPnsWUKVPMxwwGAwDA19cXJ0+eRJ8+faQNugOc+dnGxsbCz88ParXafGzAgAHQ6XSoq6uDRqORNGZnOVPWhQsXYvr06XjssccAAEOGDEF1dTWeeOIJPP/88/Dx8ZxRja3VT6GhoW7Z+wToWN3lzmbNmoWtW7di165d6NGjh9LhuNzBgwdRWlqKkSNHmo81NjZi165dePfdd1FbW2tVP7m72NhYDBw40OrYgAED8K9//UuhiKTz5z//GfPmzcP9998PwFjn5ufnIyMjw+MTKKY6qaSkBLGxsebjJSUlGD58uEJROYZtY89sGwPe1T5m25htYxNXtY0953+kgzQaDUaNGoXMzEzzMYPBgMzMTCQnJ9u8Jjk52ep8ANixY0er53cWzpQVAF555RW89NJL2L59O0aPHi1HqB3maFn79++PI0eOIDs727zdcccduOWWW5CdnY34+Hg5w3eYMz/bcePGIScnx/xGCACnTp1CbGxsp32DAJwra01NTYs3AtObo/CQZTVN3LV+aouzdZe7EkJg1qxZ+Pzzz/Htt98iMTFR6ZAkceutt7aod0ePHo1p06YhOzvbo5IngLHObb4c9alTp5CQkKBQRNJprc61fL/xVImJiYiJibGqr/R6Pfbu3es29RXbxp7ZNga8q33MtjHbxiYuq58cmnLWw23YsEFotVqxdu1acezYMfHEE0+I8PBwodPphBBCTJ8+XcybN898/g8//CB8fX3Fa6+9Jo4fPy4WL17sVku1OVLW5cuXC41GI/75z3+K4uJi81ZZWalUEezmaFmbc6dZxoVwvLwFBQUiJCREzJo1S5w8eVJs3bpVREVFiaVLlypVBLs5WtbFixeLkJAQ8emnn4rc3FzxzTffiD59+oh7771XqSLYrbKyUhw+fFgcPnxYABBvvPGGOHz4sMjPzxdCCDFv3jwxffp08/mmpdr+/Oc/i+PHj4uVK1d6zDLGbf3MPcmTTz4pwsLCRFZWllW9W1NTo3RokvPkVXj27dsnfH19xcsvvyxOnz4t1q1bJwIDA8Xf//53pUNzuRkzZoju3bublzHetGmTiIyMFM8884zSoblEe/Xy8uXLRXh4uPjiiy/EL7/8Iu688063XMaYbWPPaxsL4V3tY7aN2TYWwnVtYyZQmnnnnXdEz549hUajETfeeKP46aefzM9NmDBBzJgxw+r8zz77TFx//fVCo9GIQYMGia+++krmiJ3nSFkTEhIEgBbb4sWL5Q/cCY7+XC250xuEiaPl/fHHH0VSUpLQarWid+/e4uWXXxYNDQ0yR+0cR8paX18vXnjhBdGnTx/h7+8v4uPjxVNPPSUuX74sf+AO+u6772z+DZrKN2PGDDFhwoQW1wwfPlxoNBrRu3dvsWbNGtnjlkJbP3NPYuvnDcBjfo5t8eQEihBCfPnll2Lw4MFCq9WK/v37iw8++EDpkCSh1+vF7NmzRc+ePYW/v7/o3bu3eP7550Vtba3SoblEe/WywWAQCxcuFNHR0UKr1Ypbb71VnDx5UtmgncC2sZGntY2F8K72MdvGRmwbd7xtrBLCw/rmEBERERERERG5GOdAISIiIiIiIiJqBxMoRERERERERETtYAKFiIiIiIiIiKgdTKAQEREREREREbWDCRQiIiIiIiIionYwgUJERERERERE1A4mUIiIiIiIiIiI2sEEChERERERERFRO5hAISIiIiIiIiJqBxMoRERERERERETtYAKFiIiIiIiIiKgdTKAQEREREREREbXj/wPLU5LORtuVUwAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "from functools import partial # provides capability to define function with partial arguments\n",
        "\n",
        "N=1000000 # number of times n samples are taken. Try varying this number.\n",
        "nobb=101 # number of bin boundaries on plots\n",
        "n=np.array([1,2,3,5,10,100]) # number of samples to average over\n",
        "\n",
        "exp_mean=3 # mean of exponential distribution\n",
        "a,b=0.7,0.5 # parameters of uniform distribution\n",
        "\n",
        "dist=[partial(np.random.random),partial(np.random.exponential,exp_mean),partial(np.random.uniform,a,b)]\n",
        "title_names=[\"Flat\", \"Exponential (mean=%.1f)\" % exp_mean, \"Uniform (a=%.1f, b=%.1f)\" % (a,b)]\n",
        "drange=np.array([[0,1],[0,10],[0,1]]) # ranges of distributions\n",
        "means=np.array([0.5,exp_mean,(a+b)/2]) # means of distributions\n",
        "var=np.array([1/12,exp_mean**2,1/12*(b-a)*(b-a)]) # variances of distributions\n",
        "\n",
        "binrange=np.array([np.linspace(p,q,nobb) for p,q in drange])\n",
        "ln,ld=len(n),len(dist)\n",
        "plt.figure(figsize=((ld*4)+1,(ln*2)+1))\n",
        "\n",
        "for i in range(ln): # loop over number of n samples to average over\n",
        "    for j in range(ld): # loop over the different distributions\n",
        "        plt.subplot(ln,ld,i*ld+1+j)\n",
        "        plt.hist(np.mean(dist[j]((N,n[i])),1),binrange[j], density=True)\n",
        "        plt.xlim(drange[j])\n",
        "        if j==0:\n",
        "            plt.ylabel('n=%i' % n[i],fontsize=15)\n",
        "        if i==0:\n",
        "            plt.title(title_names[j], fontsize=15)\n",
        "        else:\n",
        "            clt=(1/(np.sqrt(2*np.pi*var[j]/n[i])))*np.exp(-(((binrange[j]-means[j])**2)*n[i]/(2*var[j])))\n",
        "            plt.plot(binrange[j],clt,'r',linewidth=2)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VtiNErCgGY1B"
      },
      "source": [
        "In the graphs above the red curve is the predicted Gaussian distribution from the Central Limit Thereom. Notice that the rate of convergence of the sample mean to the Gaussian depends on the original parent distribution. Also,\n",
        "\n",
        "- the mean of the Gaussian distribution is the same as the original parent distribution,\n",
        "- the width of the Gaussian distribution scales as $1/\\sqrt{n}$."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "vK20lkb4GY1B"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "36VDQF8LGY1B"
      },
      "outputs": [],
      "source": []
    }
  ],
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      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
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      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
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            "readout": true,
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          }
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        "dbf4867d9cd441f380d03f99cc1a0833": {
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          "model_name": "ButtonModel",
          "model_module_version": "1.5.0",
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            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "ButtonView",
            "button_style": "",
            "description": "Run Interact",
            "disabled": false,
            "icon": "",
            "layout": "IPY_MODEL_5d28db1184fd491ca31f2d62ccb3c697",
            "style": "IPY_MODEL_d988e485d5ea40ba8d635bcbe31c0aa0",
            "tooltip": ""
          }
        },
        "a76918a7c5d140b3b409ee49c83fb9ca": {
          "model_module": "@jupyter-widgets/output",
          "model_name": "OutputModel",
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          "state": {
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            "_model_module": "@jupyter-widgets/output",
            "_model_module_version": "1.0.0",
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            "_view_module": "@jupyter-widgets/output",
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            "_view_name": "OutputView",
            "layout": "IPY_MODEL_034445a2f3bb488499c2d7a49265ff06",
            "msg_id": "",
            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "text/plain": "<Figure size 640x480 with 1 Axes>",
                  "image/png": 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jECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjhBwou3bt0r333qv09HTFxcXp7bffDrr/wQcfVFxcXNAybdq0oDGnT5/WvHnzZLfblZycrOLiYrW1tV3VCwEAAL1HyIHS3t6usWPH6uWXX77smGnTpqm5uTmw/O1vfwu6f968eWpoaFBNTY2qq6u1a9cuLV68OPTZAwCAXqlPqA+YPn26pk+ffsUxNptNTqezy/s+//xzbd26Vfv27dP48eMlSX/84x81Y8YMPf/880pPTw91SgAAoJeJyDUoO3fuVGpqqkaNGqUlS5bo1KlTgfvcbreSk5MDcSJJBQUFio+P1969eyMxHQAAEGNCPoPyXaZNm6bZs2dr5MiROnr0qJ566ilNnz5dbrdbCQkJ8ng8Sk1NDZ5Enz5KSUmRx+Ppcpt+v19+vz9w2+fzhXvaAADAIGEPlDlz5gT+nZOTo9zcXN1www3auXOnpkyZ0qNtVlRUaM2aNeGaIgAAMFzEv2Z8/fXXa8iQITpy5Igkyel0qrW1NWjMxYsXdfr06ctet1JeXi6v1xtYjh8/HulpAwCAKIp4oJw4cUKnTp3SsGHDJEkul0tnzpxRXV1dYMyOHTvU2dmp/Pz8Lrdhs9lkt9uDFgAA0HuF/BFPW1tb4GyIJB07dkwHDhxQSkqKUlJStGbNGhUVFcnpdOro0aN64okndOONN6qwsFCSNHr0aE2bNk2LFi3S+vXrdeHCBZWWlmrOnDl8gwcAAEjqwRmU/fv3a9y4cRo3bpwkqaysTOPGjdOqVauUkJCggwcP6qc//aluvvlmFRcXKy8vT//85z9ls9kC23jjjTeUlZWlKVOmaMaMGZo0aZL+/Oc/h+9VAQCAmBZnWZYV7UmEyufzyeFwyOv1RuTjnvoT3rBvEwCAWJKT4Qj7NkN5/+Zv8QAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjhBwou3bt0r333qv09HTFxcXp7bffDrrfsiytWrVKw4YNU//+/VVQUKAvv/wyaMzp06c1b9482e12JScnq7i4WG1tbVf1QgAAQO8RcqC0t7dr7Nixevnll7u8f+3atXrppZe0fv167d27VwMHDlRhYaHOnTsXGDNv3jw1NDSopqZG1dXV2rVrlxYvXtzzVwEAAHqVOMuyrB4/OC5Omzdv1qxZsyR9ffYkPT1dy5cv12OPPSZJ8nq9SktLU2VlpebMmaPPP/9c2dnZ2rdvn8aPHy9J2rp1q2bMmKETJ04oPT39O5/X5/PJ4XDI6/XKbrf3dPqXVX/CG/ZtAgAQS3IyHGHfZijv32G9BuXYsWPyeDwqKCgIrHM4HMrPz5fb7ZYkud1uJScnB+JEkgoKChQfH6+9e/eGczoAACBG9QnnxjwejyQpLS0taH1aWlrgPo/Ho9TU1OBJ9OmjlJSUwJhv8/v98vv9gds+ny+c0wYAAIaJiW/xVFRUyOFwBJbMzMxoTwkAAERQWAPF6XRKklpaWoLWt7S0BO5zOp1qbW0Nuv/ixYs6ffp0YMy3lZeXy+v1Bpbjx4+Hc9oAAMAwYQ2UkSNHyul0avv27YF1Pp9Pe/fulcvlkiS5XC6dOXNGdXV1gTE7duxQZ2en8vPzu9yuzWaT3W4PWgAAQO8V8jUobW1tOnLkSOD2sWPHdODAAaWkpGj48OFaunSpfv3rX+umm27SyJEj9atf/Urp6emBb/qMHj1a06ZN06JFi7R+/XpduHBBpaWlmjNnTre+wQMAAHq/kANl//79+slPfhK4XVZWJklauHChKisr9cQTT6i9vV2LFy/WmTNnNGnSJG3dulX9+vULPOaNN95QaWmppkyZovj4eBUVFemll14Kw8sBAAC9wVX9Dkq08DsoAABEVq/6HRQAAIBwIFAAAIBxCBQAAGAcAgUAABiHQAEAAMYhUAAAgHEIFAAAYBwCBQAAGIdAAQAAxiFQAACAcQgUAABgHAIFAAAYh0ABAADGIVAAAIBxCBQAAGAcAgUAABiHQAEAAMYhUAAAgHEIFAAAYBwCBQAAGIdAAQAAxiFQAACAcQgUAABgHAIFAAAYh0ABAADGIVAAAIBxCBQAAGAcAgUAABiHQAEAAMYhUAAAgHEIFAAAYBwCBQAAGIdAAQAAxiFQAACAcQgUAABgHAIFAAAYh0ABAADGIVAAAIBxCBQAAGAcAgUAABiHQAEAAMYhUAAAgHEIFAAAYBwCBQAAGIdAAQAAxgl7oDz99NOKi4sLWrKysgL3nzt3TiUlJRo8eLAGDRqkoqIitbS0hHsaAAAghkXkDMott9yi5ubmwPLRRx8F7lu2bJm2bNmiTZs2qba2Vk1NTZo9e3YkpgEAAGJUn4hstE8fOZ3OS9Z7vV799a9/VVVVle666y5J0oYNGzR69Gjt2bNHEydOjMR0AABAjInIGZQvv/xS6enpuv766zVv3jw1NjZKkurq6nThwgUVFBQExmZlZWn48OFyu92X3Z7f75fP5wtaAABA7xX2QMnPz1dlZaW2bt2qdevW6dixY7rjjjt09uxZeTweJSYmKjk5OegxaWlp8ng8l91mRUWFHA5HYMnMzAz3tAEAgEHC/hHP9OnTA//Ozc1Vfn6+RowYobfeekv9+/fv0TbLy8tVVlYWuO3z+YgUAAB6sYh/zTg5OVk333yzjhw5IqfTqfPnz+vMmTNBY1paWrq8ZuUbNptNdrs9aAEAAL1XxAOlra1NR48e1bBhw5SXl6e+fftq+/btgfsPHz6sxsZGuVyuSE8FAADEiLB/xPPYY4/p3nvv1YgRI9TU1KTVq1crISFBc+fOlcPhUHFxscrKypSSkiK73a5HHnlELpeLb/AAAICAsAfKiRMnNHfuXJ06dUpDhw7VpEmTtGfPHg0dOlSS9MILLyg+Pl5FRUXy+/0qLCzUK6+8Eu5pAACAGBZnWZYV7UmEyufzyeFwyOv1RuR6lPoT3rBvEwCAWJKT4Qj7NkN5/+Zv8QAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwDoECAACMQ6AAAADjRDVQXn75Zf3gBz9Qv379lJ+fr08++SSa0wEAAIaIWqC8+eabKisr0+rVq/Xpp59q7NixKiwsVGtra7SmBAAADBG1QPn973+vRYsW6aGHHlJ2drbWr1+vAQMG6LXXXovWlAAAgCH6RONJz58/r7q6OpWXlwfWxcfHq6CgQG63+5Lxfr9ffr8/cNvr9UqSfD5fRObXdjYy2wUAIFb4fHER2ObX76+WZX3n2KgEyn//+191dHQoLS0taH1aWpq++OKLS8ZXVFRozZo1l6zPzMyM2BwBAEBknD17Vg6H44pjohIooSovL1dZWVngdmdnp06fPq3BgwcrLi78hXe1fD6fMjMzdfz4cdnt9mhPp1dh30YG+zVy2LeRw76NnEjtW8uydPbsWaWnp3/n2KgEypAhQ5SQkKCWlpag9S0tLXI6nZeMt9lsstlsQeuSk5MjOcWwsNvt/I8mQti3kcF+jRz2beSwbyMnEvv2u86cfCMqF8kmJiYqLy9P27dvD6zr7OzU9u3b5XK5ojElAABgkKh9xFNWVqaFCxdq/Pjx+tGPfqQ//OEPam9v10MPPRStKQEAAENELVAeeOABnTx5UqtWrZLH49Gtt96qrVu3XnLhbCyy2WxavXr1JR9L4eqxbyOD/Ro57NvIYd9Gjgn7Ns7qznd9AAAAriH+Fg8AADAOgQIAAIxDoAAAAOMQKAAAwDgESogqKio0YcIEJSUlKTU1VbNmzdLhw4ev+JjKykrFxcUFLf369btGM44d69atU25ubuCHgVwul957770rPmbTpk3KyspSv379lJOTo3ffffcazTa2hLpvOWZ75rnnnlNcXJyWLl16xXEct6Hrzr7luO2ep59++pL9lJWVdcXHROOYJVBCVFtbq5KSEu3Zs0c1NTW6cOGCpk6dqvb29is+zm63q7m5ObD85z//uUYzjh0ZGRl67rnnVFdXp/379+uuu+7Sfffdp4aGhi7H7969W3PnzlVxcbH+9a9/adasWZo1a5YOHTp0jWduvlD3rcQxG6p9+/bp1VdfVW5u7hXHcdyGrrv7VuK47a5bbrklaD999NFHlx0btWPWwlVpbW21JFm1tbWXHbNhwwbL4XBcu0n1Itddd531l7/8pcv7fvazn1kzZ84MWpefn2/98pe/vBZTi3lX2rccs6E5e/asddNNN1k1NTXWj3/8Y+vRRx+97FiO29CEsm85brtn9erV1tixY7s9PlrHLGdQrpLX65UkpaSkXHFcW1ubRowYoczMzO/8L1dIHR0d2rhxo9rb2y/75w/cbrcKCgqC1hUWFsrtdl+LKcas7uxbiWM2FCUlJZo5c+Ylx2NXOG5DE8q+lThuu+vLL79Uenq6rr/+es2bN0+NjY2XHRutYzYm/pqxqTo7O7V06VLdfvvtGjNmzGXHjRo1Sq+99ppyc3Pl9Xr1/PPP67bbblNDQ4MyMjKu4YzNV19fL5fLpXPnzmnQoEHavHmzsrOzuxzr8Xgu+eXhtLQ0eTyeazHVmBPKvuWY7b6NGzfq008/1b59+7o1nuO2+0Ldtxy33ZOfn6/KykqNGjVKzc3NWrNmje644w4dOnRISUlJl4yP1jFLoFyFkpISHTp06Iqf3UmSy+UK+i/V2267TaNHj9arr76qZ599NtLTjCmjRo3SgQMH5PV69fe//10LFy5UbW3tZd9I0X2h7FuO2e45fvy4Hn30UdXU1HAxZpj1ZN9y3HbP9OnTA//Ozc1Vfn6+RowYobfeekvFxcVRnFkwAqWHSktLVV1drV27doVc5n379tW4ceN05MiRCM0udiUmJurGG2+UJOXl5Wnfvn168cUX9eqrr14y1ul0qqWlJWhdS0uLnE7nNZlrrAll334bx2zX6urq1Nraqh/+8IeBdR0dHdq1a5f+9Kc/ye/3KyEhIegxHLfd05N9+20ct92TnJysm2+++bL7KVrHLNeghMiyLJWWlmrz5s3asWOHRo4cGfI2Ojo6VF9fr2HDhkVghr1LZ2en/H5/l/e5XC5t3749aF1NTc0Vr6vA/7nSvv02jtmuTZkyRfX19Tpw4EBgGT9+vObNm6cDBw50+QbKcds9Pdm338Zx2z1tbW06evToZfdT1I7ZiF6C2wstWbLEcjgc1s6dO63m5ubA8tVXXwXGzJ8/33ryyScDt9esWWNt27bNOnr0qFVXV2fNmTPH6tevn9XQ0BCNl2CsJ5980qqtrbWOHTtmHTx40HryySetuLg46/3337cs69L9+vHHH1t9+vSxnn/+eevzzz+3Vq9ebfXt29eqr6+P1kswVqj7lmO25779TROO2/D5rn3Lcds9y5cvt3bu3GkdO3bM+vjjj62CggJryJAhVmtrq2VZ5hyzfMQTonXr1kmSJk+eHLR+w4YNevDBByVJjY2Nio//v5NT//vf/7Ro0SJ5PB5dd911ysvL0+7du7mu4ltaW1u1YMECNTc3y+FwKDc3V9u2bdPdd98t6dL9etttt6mqqkorV67UU089pZtuuklvv/32FS9Y/r4Kdd9yzIYPx23kcNz2zIkTJzR37lydOnVKQ4cO1aRJk7Rnzx4NHTpUkjnHbJxlWVZEnwEAACBEXIMCAACMQ6AAAADjECgAAMA4BAoAADAOgQIAAIxDoAAAAOMQKAAAwDgECgAAMA6BAgAAjEOgAAAA4xAoAADAOAQKAAAwzv8DxoANVQ1XhCIAAAAASUVORK5CYII=\n"
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        },
        "f18452bc4d5e4f8e835f30b41589d8d5": {
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          "state": {
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