{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "946dad92-303f-4ebe-b87b-4b37bdf777cc",
      "metadata": {},
      "source": [
        "# Dual-Space Methods\n",
        "\n",
        "Copyright (C) 2026 Andreas Kloeckner\n",
        "\n",
        "<details>\n",
        "<summary>MIT License</summary>\n",
        "Permission is hereby granted, free of charge, to any person obtaining a copy\n",
        "of this software and associated documentation files (the \"Software\"), to deal\n",
        "in the Software without restriction, including without limitation the rights\n",
        "to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n",
        "copies of the Software, and to permit persons to whom the Software is\n",
        "furnished to do so, subject to the following conditions:\n",
        "\n",
        "The above copyright notice and this permission notice shall be included in\n",
        "all copies or substantial portions of the Software.\n",
        "\n",
        "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n",
        "IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n",
        "FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n",
        "AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n",
        "LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n",
        "OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n",
        "THE SOFTWARE.\n",
        "</details>\n",
        "\n",
        "---\n",
        "\n",
        "Based on [A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution](https://arxiv.org/abs/2308.00292) (Shidong Jiang, Leslie Greengard)\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import numpy.linalg as la\n",
        "from scipy.special import erf, erfc\n",
        "import matplotlib.pyplot as plt\n",
        "from sumpy.visualization import FieldPlotter\n",
        "\n",
        "# a lot of dividing by zero here, silence warnings\n",
        "np.errstate(divide=\"ignore\", invalid=\"ignore\").__enter__()\n",
        "\n",
        "rng = np.random.default_rng(230800292)\n",
        "\n",
        "def _at_zero(r: np.ndarray, value: float, expression: np.ndarray) -> np.ndarray:\n",
        "    \"\"\"Replace the removable r=0 value in a radial-kernel expression.\"\"\"\n",
        "    return np.where(np.asarray(r) == 0.0, value, expression)\n",
        "\n",
        "# The diameter of [-1/2, 1/2]^3, as in Lemma 8.\n",
        "BOX_DIAMETER = np.sqrt(3.0)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "c2e20446-8a0d-4d9f-b67e-cd80620ba7af",
      "metadata": {},
      "source": [
        "### A refresher: `erf` and `erfc`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f38001aa120>"
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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yCbL2WF2NiFzi008/pUOHDvTp04ekpCRGjRrF0aNHAZg/fz4zZ86stP+yZcuYNGlSxftnn32WSZMmMWbMGJKSkujRowe9e/dm+/btjB49ml69epGYmMioUaMoLCz06M+i8CIi9ad5AnSfaK5v+au1tYg0EMMwKHQWWrJc2vJxNQ899BD33nsvp0+f5syZM/zqV79i9+7dNfpZd+7cyQ9+8ANOnTrFyZMnKSkpYfDgwdxzzz1kZmaSkZHBgQMHePHFF2v6MdZIoEfPLiKNz6CHYO9/YOebMPpXEBZldUUiHlVUVsSgfw6y5Npb7thCWFBYtfZ1OBy0atWq4v31119f4+t17tyZ++67D4CIiAhGjx7N559/zp133glAVFQUI0eOZMeOHTU+d02o5UVE6le7IRDXG8qKNGmdiBdZuHAhs2fPZtiwYfzyl78kNTW1xudo06ZNpfdNmza97Lbz58/XqdarUcuLiNQvm81sffnPI5DydxjyY7DrV434r9DAULbcscWya1fX3XffzZQpU1i/fj1r1qxhxIgRLFy4kJkzZ2Kz2b6zf1lZWX2WWq/0G0VE6l+vabB2nvnAxgMrofukqx8j4qNsNlu1u26sVFZWRnh4OJMnT2by5Mk0bdqUf/3rX8ycOZPY2Fh27txZaf+vvvrKmkKrQd1GIlL/gppcMmxaN+6KWM3lctGnTx/++te/sm3bNtauXcv777/PkCFDALjpppvYvHkzzz33HNu3b2fBggW8/fbbFlddNYUXEfEMDZsW8Rp2u53//Oc/7Nixg4cffpjf/va3zJgxg4ULFwIwePBgXnvtNd5++21mzpxJfn4+f/rTn0hMTKw4R2xsLO3atat03pYtW5KQkFBpW1xcHG3btvXoz2MzajLOykc4HA4iIyPJy8sjIiLC6nJEGq83/ge+eR8GPwLjF1hdjUi9KC4uJj09nY4dO9KkSROry/E5V/r8qvv93SAtLyUlJaSlpVXr7uPc3FzS0tIqLZfO8CciPqTfdPN15xvgclpbi4j4DY+Gl+PHj/Ozn/2MxMREOnfuzHvvvXfVY5577jl69erF+PHjK5apU6d6skwR8ZSkG6FpSyjMhoNrrK5GRPyER8PLhg0baNGiRY0nq+nbt2+llpfajEUXES9gD4Q+t5vrX/3T2lpExG94dKh0+Yx7tZGVlUWTJk2IjIysx4pEpMH1vRO+WAIHVsH5M9As1uqKRMTHeeVooy1bttCzZ0/i4uLo2rUrq1atsrokEamtlt2hzbXgLoNdb1ldjYj4Aa8LL927d2fr1q1kZ2fjcDiYMmUKt9xyC7t27arymJKSEhwOR6VFRLxI3zvMV3UdiR/xw8G6DaI+PjevCy9Tp05lwIABAAQFBbFgwQLi4+NZsWJFlccsXLiQyMjIiuXbY85FxGK9p4E9GLJ2wamvra5GpE6CgoIAKCwstLgS31T+uZV/jrXh9Y8HsNlstGvXjqNHj1a5z5w5c3j88ccr3jscDgUYEW8S2gK63Qx7/m22vrTuY3VFIrVmt9tp3rw5p0+fBiAsLOyyzwaSygzDoLCwkNOnT9O8eXPsdnutz2V5eMnJySEvL4+OHTsC5rMXAgMvluVwONi5cycPP/xwlecICQkhJCTE47WKSB30vdMMLzvfhDFPQWCw1RWJ1FpcXBxARYCR6mvevHnF51dbHg0vRUVFnDhxouJ9VlYWaWlpREZGEhtrjjhYvHgxzz77LOfOnQNg5MiR3HPPPfTr14/s7GyeeuopgoKC+NGPfuTJUkXE05JGQXhryD9ljjzqMdnqikRqzWaz0bp1a1q2bInTqQkYqysoKKhOLS7lPBpeduzYwV133QVAUlISS5cuZenSpdx2220sWGBOFR4VFVXp2QkrVqzgmWee4fnnnycsLIyBAwfyzjvvVIQdEfFRAXa45nb4/Fmz60jhRfyA3W6vly9jqRk920hEGs7pffD8IAgIgicOmvfCiIhc4FXPNhIRAaBlN2jZE9xO+OZDq6sRER+l8CIiDavXrebrnnetrUNEfJbCi4g0rJ5TzNfDG6Ag29paRMQnKbyISMOKTjLneTFc8M37VlcjIj5I4UVEGl7PC11Hu9V1JCI1p/AiIg2vPLwc/Rzys6ytRUR8jsKLiDS8Fh2gbX8w3Oo6EpEaU3gREWuU37irriMRqSGFFxGxRs/vma/HNoPjpKWliIhvUXgREWtExkPCYMCAPe9ZXY2I+BCFFxGxTq8LXUeasE5EakDhRUSs0+MWwAbHU+DcMaurEREfofAiItYJj4MOw831vf+xthYR8RkKLyJire6TzNd9H1lbh4j4DIUXEbFWt5vN12NfwvnT1tYiIj5B4UVErBUZD236AQbs/6/V1YiID1B4ERHrdZtovn7zobV1iIhPUHgREeuVh5f0DVDssLYWEfF6Ci8iYr3YrhDdCVylcHCN1dWIiJdTeBER69lsF1tf9qnrSESuTOFFRLxD+ZDpg2uhrMTaWkTEqym8iIh3aHMthLeG0vNweIPV1YiIF1N4ERHvEBBwcc6XfR9YW4uIeDWFFxHxHhX3vfwX3C5raxERr6XwIiLeo8NwaBIJhdmQscXqakTESym8iIj3sAdBl/HmuiasE5EqKLyIiHe5dMi0YVhbi4h4JYUXEfEunW4EewicOwqnv7G6GhHxQgovIuJdgptC4g3m+oGV1tYiIl5J4UVEvE/5fS/7V1lbh4h4JYUXEfE+5eHleAqcP2NtLSLidRReRMT7RLaF1n0AAw6utroaEfEyCi8i4p26TDBf9+u+FxGpTOFFRLxT1wvh5dAn4Cy2thYR8SoKLyLinVr3gfA24CyEI5usrkZEvIjCi4h4J5sNuowz19V1JCKXUHgREe/V9Sbz9cAqzbYrIhUUXkTEe3W8HoLCwHECMndaXY2IeAmFFxHxXkFNIHGkua4J60TkAoUXEfFuXS9MWKdHBYjIBQovIuLduowHbHByBzhOWV2NiHgBhRcR8W7NWkLb/ub6AXUdiYjCi4j4goquIz0qQEQUXkTEF5Q/KuDwp+AssrQUEbFeg4SXkpIS0tLSOH/+fLWPKS4uJiMjg9LSUg9WJiI+oVVPiIiHsiJI32h1NSJiMY+Gl+PHj/Ozn/2MxMREOnfuzHvvvVet4+bPn09UVBR9+/YlJiaGJUuWeLJMEfF2l862q/teRBo9j4aXDRs20KJFC3bs2FHtY5YvX86iRYtYt24dZ8+eZcWKFcyaNYu1a9d6sFIR8XpdLrnvRbPtijRqgZ48+Z133lnjY5YuXcrUqVMZOnQoAJMnT2bEiBEsXbqUMWPG1HeJIuIrOo6AwFBztt2s3RDX2+qKRMQiHg0vNeV2u0lNTWX69OmVtg8fPpxly5ZZVJXJMAyKynSjoIilEm+Ag6th3wcQnWR1NT7D5XZT6HRTUFJGUamLkjI3pS43pU4XpS43TpebMpeBy21Q5gaX4cblBrdh4HYbuA1z3TAMDMyGL8MwzNcL1zAu0xp2uQYyA7Wa+Yup/RKJiwy15NpeFV7y8/MpKSkhOjq60vaYmBiys7OrPK6kpISSkpKK9w6Ho95rKyorYtA/B9X7eUWkhjokwNHXzUVELHNt+9WWhRevGiodEGCW43Q6K20vLS3FbrdXedzChQuJjIysWBISEjxap4iISGPXIjTYsmt7VctLeHg4kZGRZGZmVtqemZlJfHx8lcfNmTOHxx9/vOK9w+Go9wATGhjKlju21Os5RaQWXh4Hmbtg4p/gmtutrsZjMnIK2ZSWzWcHs9lyOIcip+s7+9gDbMRFhtC2eShtmofSOqIJUc1CaBEWTIuwIJo3DSIiJIimIYGEhdgJCrBhs9ks+GnEH4UGWtPqAl4QXnJycsjLy6Njx44AJCcns3r1an7yk59U7LNy5UqSk5OrPEdISAghISEerdNmsxEWFObRa4hINXSZAKd2Qton0P8eq6upV2fyS3hrewZvbzvO4eyCS/7ETnTTUHq2jaRnmwh6tomgR+sI2kWFEWj3qgZ0kQbh0fBSVFTEiRMnKt5nZWWRlpZGZGQksbGxACxevJhnn32Wc+fOATB37lyGDx/OvHnzmDRpEq+88goZGRnMnj3bk6WKiK/oMh42/A4OfQJlpRBoXdN1fTAMgy3pOaz48iir92TidJk3tAYG2OjfvgXJXVtyQ5dYurcOV6uJyAUeDS87duzgrrvuAiApKYmlS5eydOlSbrvtNhYsWABAVFQUiYmJFccMGDCANWvW8PTTT/POO+/QuXNnNmzYQKdOnTxZqoj4itZ9oVkrOJ8FRz+DpFFWV1Rrmw+d5Tcf7WXPyYuDDPomNOeOQe2Y0CuO8CZBFlYn4r1sxuXGt/k4h8NBZGQkeXl5REREWF2OiNS3//wYdiyHQQ/BhN9ZXU2NHT1bwML/7mPVHvP+vrBgO9/r15Y7BrajV9tIi6sTsU51v78tv+dFRKTGuow3w8v+lTD+afPxAT6gsLSMP398kH98doRSl5sAG9w5qD2zxnQhqqlvd3+JNCSFFxHxPYnJYA+Bc0fhzH5o2c3qiq7q0JnzPLxiOweyzAfUjugcw//d3IOuceEWVybiexReRMT3hDSDjtdD2lo4sNLrw8vKXad44u2dnC8po2V4CAun9GZUt5a6AVekljTGTkR8U9cLD2rcv9LaOq7A6XLz24/28vBrqZwvKWNQxyg+nDmcG7u3UnARqQOFFxHxTeVPmc7YCgVVPz7EKgUlZdz10lZe3JQOwIPXJ/La/YNoGd7E4spEfJ/Ci4j4psh4iLsGMODAaqurqaSo1MW9r6Sw+fBZmoUE8sL0a/nFTd01oZxIPdG/JBHxXV0nmK8HvKfrqNjp4oFXt7ElPYfwkEBeu38Q43u1trosEb+i8CIivqu86yjtE3AWW1sLUFLm4ofLt/NZWjZNg+28cu8A+iQ0t7osEb+j8CIivqt1XwhvDc4COPKZpaWUlrl55LVUNhw4Q2iQnZdnDKB/+yhLaxLxVwovIuK7AgKgyzhz3eKuo1++t5t135wmJDCAl+6+jkGJ0ZbWI+LPFF5ExLd1uXDfy/5VYNHTTt7alsEb2zIIsMEL/9OfoZ1iLKlDpLFQeBER35Z4AwSGguM4ZO5q8Mvvy3Twy//sBuDxMV0Y2bVlg9cg0tgovIiIbwsKhaSR5vqBVQ166fMlZfxoRSrFTjc3dInlR8mdGvT6Io2VwouI+L7yUUf7/9tglzQMg5+/s5PD2QW0jmzCn27vS0CAZs0VaQgKLyLi+8rDy8kd4DjVIJdc/uVRPtx5isAAG3+541o9FVqkASm8iIjvC28Fbfub6w3QdXQwK5/ffPgNAHNu6k7/9i08fk0RuUjhRUT8Q/lsux7uOjIMg/97bzelLjejurXk3mEdPHo9EfkuhRcR8Q/dJpqvhz+FknyPXebfO06wJT2HJkEBPDm5p54OLWIBhRcR8Q+x3SAqCVylcHCtRy6RV+hkwX/N7qKZN3YmISrMI9cRkStTeBER/2CzQbebzfV9H3rkEr9fs5/s86UkxTbl/uGJHrmGiFydwouI+I/uk8zXA2ugrKReT73z+DlWbDkKwFPf60VwoH59ilhF//pExH+0vQ6axUFpPqRvqrfTutzmTbqGAd/r24ahSZr+X8RKCi8i4j8CAqDbTeb6vg/q7bT/3HqMncfzCG8SyC9u7l5v5xWR2lF4ERH/Uj7qaN9/we2q8+kKS8v487oDAPxkbFdahjep8zlFpG4UXkTEv3QYASGRUHAajqfU+XQrvjxK9vlS2kWFccegdvVQoIjUlcKLiPiXwGDoMtZcr+Ooo8LSMv664TAAPx7ViSC7fmWKeAP9SxQR/1PedfTNh2AYtT7Nq5uPcraglPbRYUzp17aeihORulJ4ERH/02k02EMgNx1O763VKc6XlPHXDYcAeHRUZwLV6iLiNfSvUUT8T0gzSBpprn9Tu66jZV8cIbfQSceYpnyvb5t6LE5E6krhRUT8U8Woo5qHl/xiJy9uMu91eXRUJ7W6iHgZ/YsUEf/UdQLYAiBzJ+QeqdGhy744wrlCJ4mxTZncR60uIt5G4UVE/FPTGGg/zFzf8+9qH2a2uqQD8NiNutdFxBvpX6WI+K9eU8zX3e9W+5A3UjLIKzJbXSZeo1YXEW+k8CIi/qv7LWCzm11HZw9ddXeX2+DVzebDF+8fnog9wObpCkWkFhReRMR/NY2GxBvM9Wq0vqzfd5pjOYVEhgbxvX5qdRHxVgovIuLfel7oOtpz9fDyyhdHAPjBgATCggM9WJSI1IXCi4j4t+4TISDInKzu9L4qdzuYlc9nadkE2GD64PYNWKCI1JTCi4j4t9AW0OlGc/0KrS/lrS5jerQiISqsAQoTkdpSeBER/9fzklFHl3nWUV6hk3dTTwAwY2jHhqxMRGpB4UVE/F/XCeazjs4ehKzd3/njN7dlUOR00S0unMGJURYUKCI1ofAiIv6vSQR0HmOuf2vUkcttsGzzEQBmDO2Azabh0SLeTuFFRBqHXpeMOrqk6+jjb7I4nltE87Agbunb1qLiRKQmFF5EpHHoMh6CwsznHJ3cUbG5vNXlBwPaERpst6Y2EakRhRcRaRyCm0KXceb6hVFHGTmFfJ52FpsN7hzUzsLiRKQmGmQWpuLiYs6cOUOrVq0IDg6+4r65ubmcPXu20ja73U7HjhoBICJ11Guq+ZDGXW/D6CcrRhgNTYrW8GgRH+Lxlpf58+cTFRVF3759iYmJYcmSJVfc/7nnnqNXr16MHz++Ypk6daqnyxSRxqDzOAiNgvxTuNM+4e3UDACm9Y+3uDARqQmPhpfly5ezaNEi1q1bx9mzZ1mxYgWzZs1i7dq1Vzyub9++pKWlVSypqameLFNEGovAYLjmNgByvniFjJwimoUEMr5na4sLE5Ga8Gh4Wbp0KVOnTmXo0KEATJ48mREjRrB06dKrHpuVlUVeXp4nyxORxqjvHQBEHl1DBOeZeE1r3agr4mM8Fl7cbjepqakMGTKk0vbhw4ezbdu2Kx67ZcsWevbsSVxcHF27dmXVqlWeKlNEGpu4a3C17EmQUcpk+2Z1GYn4II+Fl/z8fEpKSoiOjq60PSYmhuzs7CqP6969O1u3biU7OxuHw8GUKVO45ZZb2LVrV5XHlJSU4HA4Ki0iIpdls7Er5mYA7gz5jP7tW1hckIjUlMfCS0CAeWqn01lpe2lpKXZ71U20U6dOZcCAAQAEBQWxYMEC4uPjWbFiRZXHLFy4kMjIyIolISGhHn4CEfFXz2Vfi9Ow0919ENuZ/VaXIyI15LHwEh4eTmRkJJmZmZW2Z2ZmEh9f/WZam81Gu3btOHr0aJX7zJkzh7y8vIolIyOj1nWLiH87draQtcfcrHf3NTd89Zql9YhIzXn0ht3k5GRWr15dadvKlStJTk6ueJ+Tk0N6enrF+7Kyskr7OxwOdu7cSadOnaq8TkhICBEREZUWEZHLeTv1OAB7W040N+x8A1xlVzhCRLyNR8PL3Llz2bhxI/PmzSMlJYVHHnmEjIwMZs+eXbHP4sWL6devX8X7kSNH8vLLL7Njxw7Wrl3LxIkTCQoK4kc/+pEnSxWRRsDtNnhnuxleEodNgbAYOJ8Fhz62uDIRqQmPhpcBAwawZs0aUlJSmDFjBidOnGDDhg2VWlGioqJITEyseL9ixQq2b9/OAw88wFNPPcXAgQPZtWsXbdq08WSpItIIfJl+lhPniggPCWRs74SKOV/UdSTiW2yGccnjVf2Ew+EgMjKSvLw8dSGJSIU57+7k9a0Z/GBAAk9PvQYyd8ELw8EeDLP3Q1iU1SWKNGrV/f7WgxlFpFFwutys3G0OIJjU50JLblxviLsGXKWwo+oRjSLiXRReRKRR+Dwtm3OFTmKaBTOo4yUtLAMfNF+3vghulzXFiUiNKLyISKPw4c5TAEzo1ZpA+yW/+npPMx/WmHcM9q+0qDoRqQmFFxHxeyVlLlbvMbuMJl7zrYcwBoVC/xnm+pYXGrYwEakVhRcR8XubDmSTX1xGq4gQBnS4zE25A+4Dmx2ObIKsPQ1foIjUiMKLiPi9D3eeBOCm3q0JCLB9d4fIeOg+yVzf8tcGrExEakPhRUT8WrHTxdq9WQBMvOYK80UN+qH5uvNNKMxpgMpEpLYUXkTEr326/zQFpS7aNg/l2nbNq96x3RBz6HRZEaS+2mD1iUjNKbyIiF/74MIoo5uvaY3Ndpkuo3I2Gwx6yFxP+buedyTixRReRMRvFZaW8ck3p4HLjDK6nF7TICwa8jJg/389XJ2I1JbCi4j4rY+/OU2R00W7qDB6t428+gFBTS4Om978HPjf01NE/ILCi4j4rfJRRhOv1mV0qQEPgD0EMr6E9A0erE5EakvhRUT8UmFpGZ/uPwOY97tUW0Tri60v6xeq9UXECym8iIhf2rD/DCVlbtpFhdGjdQ2fLj98FgQ2MVtfDq/3TIEiUmsKLyLil8ofBzCuZ6vqdxmVi2gN/e8x19X6IuJ1FF5ExO+Ulrn5eJ85ymhcz7janWT4LAgMheNbIe3jeqxOROpK4UVE/M6Xh8+SX1xGTLNg+rVrUbuThLcyn3kE8OkCtb6IeBGFFxHxO2v2ml1GY3q0wn65ZxlV17DHzNaXE9vh4Np6qk5E6krhRUT8itttsGaP+SyjsbXtMirXrCUMvN9cV+uLiNdQeBERv/LV8XOczi+hWUggQ5Oi637CYf8LQU3h5A745oO6n09E6kzhRUT8Svkoo+SusYQE2ut+wqYxMORHF07+CygtqPs5RaROFF5ExG8YxsUuo1qPMrqc4Y9DZDvzmUcbF9XfeUWkVhReRMRvpJ0+T3p2AcH2AJK7xtbfiYPD4KZnzPUvlsDpffV3bhGpMYUXEfEb5V1GwzpFE94kqH5P3nUCdL0Z3GXw0WzdvCtiIYUXEfEbqz3RZXSpCU+bQ6ePfgY73/TMNUTkqhReRMQvnDhXxK4TedhscGP3Vp65SPN2cMNPzfU1c6HonGeuIyJXpPAiIn5h7YUuo+vatyA2PMRzFxryY4jpAgVn4ONfe+46IlIlhRcR8QvrvjGfZTSmh4daXcoFBsPNfzDXt70E+z7y7PVE5DsUXkTE5zmKnWxJPwvAaE91GV2q4/Uw+BFz/d8PQ066568pIhUUXkTE5208cAanyyAxtimJsc0a5qJjnoT4gVCSB2/NAGdxw1xXRBReRMT3fXyhy6hBWl3K2YPg+/+A0Cg49ZU5+66INAiFFxHxaWUuN+v3m+Hlxm4tG/bikfEw5UXAZt7/svOthr2+SCOl8CIiPm370VzOFTppHhZE//YtGr6AzqPh+p+Y6x88Bll7G74GkUZG4UVEfNrH+8xWl5FdWxJot+hXWvIc8yZeZwEs/x5kp1lTh0gjofAiIj5t3TfmrLo3dm/gLqNLBdjh+8ugVS84nwXLJkHOYevqEfFzCi8i4rMOnznP4TMFBNltXN+lHh/EWBthUXDXfyC2G+SfhGWTIfeotTWJ+CmFFxHxWeWjjAZ1jCaivh/EWBtNY+Cu9yG6E+RlmC0wecetrkrE7yi8iIjPWnuhy2i0lV1G3xbeCu7+AFp0hHNH4R83QeYuq6sS8SsKLyLik84VlrL9aC7gwQcx1lZEmwsBpoMZYP4+Gr563eqqRPyGwouI+KRP95/B5Tbo2iqchKgwq8v5ruYJ8MB66DQayorhvYfgw1lQVmJ1ZSI+T+FFRHxSRZdRDy/qMvq2sCi44y1zKDU22PYyvDwezh6yujIRn6bwIiI+p7TMzcb9ZwAv7DL6toAASP453Pk2hLaAk6nw3CBYPReKzlldnYhPUngREZ+z7UgO+SVlxDQLpm98c6vLqZ7Oo+HBDWY3ktsJm/8CS66FlL+Dq8zq6kR8isKLiPicS2fVDQiwWVxNDbRoD9PfMVthYrpC4Vn4aDY8Pxi2/A2K86yuUMQnNEh4KS4uJiMjg9LSUo8eIyL+zzAMPvaGWXXrovMYePhzmLDI7Eo6exBWPgF/6AbvPwond1hdoYhX83h4mT9/PlFRUfTt25eYmBiWLFnikWNEpHE4nF3AkbOFBNltDO9s8ay6dWEPgkEPwmNfmyEmths4CyH1VfhbMizuB/99Ag6sgdJCq6sV8SqBnjz58uXLWbRoEevWrWPo0KG8//77TJkyhW7dujFmzJh6O0ZEGo9PLsyqOzgxmmYhHv0V1jCaRJohZuADcOxLc0TS3vfMZyNt/Zu52EMgYSC06QtxfSCuN8R0Np+pJNII2QzDMDx18qFDh5KUlMTy5csrto0cOZIWLVrw7rvv1tsx3+ZwOIiMjCQvL4+IiIi6/RAi4lV+8LfNfHk4h/mTenDPsI5Wl+MZJfmQvhHS1sHBdZB37Lv7BIZCVKI5n0zzduYSGQ9hMRAWfWGJMlt4RHxEdb+/PfbfFrfbTWpqKtOnT6+0ffjw4SxbtqzejhGRxiOvyEnKkQuz6nbz8iHSdRESDt1uNhfDgOyDkPElnNoJmTshczc4C+D0HnO5kqCmENIMgptCcDNzCQy5uNhDwB4M9kAIuGSxBVxcAuzmK7YL22zmwoWbpb+zfqnL3FBdnX3E+/X+PkS0tuTSHgsv+fn5lJSUEB0dXWl7TEwM2dnZ9XYMQElJCSUlF2etdDgcdahcRLzVhgPmrLqdWzajXbQXzqrrCTYbxHYxl3JuN+Smm8u5YxeXvBPmCKbCs1CUCxhmyHEWWFa++LF2Q/wvvAQEmPcCO53OSttLS0ux2y/fT1ubYwAWLlzIk08+WZdyRcQHfHJhlNEoXx1lVF8CAiA6yVyq4naZAabEASXnobQASs+bS1kpuErMRxWUFYPLae7vdoK7zHxvuM1WH8NlrrtdgGFuwzC3wcX3XHy5+P5ydyV47E4FaWhhUZZd2mPhJTw8nMjISDIzMyttz8zMJD4+vt6OAZgzZw6PP/54xXuHw0FCQkIdqhcRb1PmcvPpgQuz6vpzl1F9CbBD0xhzEfEzHh0qnZyczOrVqyttW7lyJcnJyRXvc3JySE9Pr9Ex3xYSEkJERESlRUT8y46Mc5wrdBIZGsS17ZpbXY6IWMij4WXu3Lls3LiRefPmkZKSwiOPPEJGRgazZ8+u2Gfx4sX069evRseISOPz8Tfls+rGEmjX5OAijZlHfwMMGDCANWvWkJKSwowZMzhx4gQbNmygU6dOFftERUWRmJhYo2NEpPH5uOJ+F3UZiTR2Hp3nxSqa50XEvxw7W8j1i9ZjD7CR+n9jiAzT3CUi/qi6399qexURr/fJPrPV5br2LRRcREThRUS8X/lTpH32QYwiUq8UXkTEq+UXO/ny8FkAbtT9LiKCwouIeLmNB7JxugwSY5qSFNvM6nJExAsovIiIVysfZaQuIxEpp/AiIl6rzOVm/f7y+13UZSQiJoUXEfFaqcfOkXthVt3r2rewuhwR8RIKLyLitcq7jDSrrohcSr8NRMRrrau430VdRiJykcKLiHil9OwCDp0pIDDAxg1dY60uR0S8iMKLiHil8i6jQYlRRDTRrLoicpHCi4h4pYouo27qMhKRyhReRMTr5BU6STmSC8Bo3e8iIt+i8CIiXufTA6dxuQ26tGpGu+gwq8sRES+j8CIiXmfdN5qYTkSqpvAiIl7F6XLz6YVZdUfrkQAichkKLyLiVbYcziG/uIzopsH0TdCsuiLyXQovIuJVVu/JBMwbde0BNourERFvpPAiIl7D7TZYu9ccIj2ul+53EZHLU3gREa+x80QemY5imgbbGZoUY3U5IuKlFF5ExGuUdxkld21JkyC7xdWIiLdSeBERr1EeXsb2VJeRiFRN4UVEvELa6XwOnykgyG5jZDcNkRaRqim8iIhXWL3HvFF3aFKMHsQoIlek8CIiXmHNhS6jcT3jLK5ERLydwouIWO5UXhFfH8/DZoMxPXS/i4hcmcKLiFhuzYUuo/7tWhAbHmJxNSLi7RReRMRyGmUkIjWh8CIilsotKGVLeg6g+11EpHoUXkTEUp/sO43LbdAtLpz20U2tLkdEfIDCi4hYalVFl5FaXUSkehReRMQyjmInG/afAWBCL4UXEakehRcRsczaPVmUutwkxTalW1y41eWIiI9QeBERy3y06xQAE69pg81ms7gaEfEVCi8iYom8QiebDppdRpP6tLa4GhHxJQovImKJ1XsycbrMUUadWqrLSESqT+FFRCzxwc6TAEy8Rq0uIlIzCi8i0uDOni/hi0NnAfN+FxGRmlB4EZEGt2pPJi63Qa+2EXSI0cR0IlIzCi8i0uA+/PriKCMRkZpSeBGRBnU6v5gt6WaX0c29db+LiNScwouINKiVuzJxG9A3oTkJUWFWlyMiPkjhRUQa1IcaZSQidaTwIiIN5lReESlHcgG4WeFFRGopsCEuUlxczJkzZ2jVqhXBwcFX3Dc3N5ezZ89W2ma32+nYsaMnSxSRBvDeDrPVZWCHKFpHhlpcjYj4Ko+3vMyfP5+oqCj69u1LTEwMS5YsueL+zz33HL169WL8+PEVy9SpUz1dpoh4mGEYvL09A4Cp/dtaXI2I+DKPtrwsX76cRYsWsW7dOoYOHcr777/PlClT6NatG2PGjKnyuL59+/Lll196sjQRaWBfZZzj0JkCQoPs3Kwh0iJSBx5teVm6dClTp05l6NChAEyePJkRI0awdOnSqx6blZVFXl6eJ8sTkQb01vbjAEzoFUezkAbpsRYRP+Wx8OJ2u0lNTWXIkCGVtg8fPpxt27Zd8dgtW7bQs2dP4uLi6Nq1K6tWrfJUmSLSAIqdLj742rzfZVr/eIurERFfV6P//uTk5JCTk3PFfdq2bUtoaCj5+fmUlJQQHR1d6c9jYmLIzs6u8vju3buzdetWBgwYgNPpZN68edxyyy1s27aN3r17X/aYkpISSkpKKt47HI4a/FQi4mlr9maRX1xG2+ahDE6MvvoBIiJXUKPwsmzZMp577rkr7vPaa68xaNAgAgLMRh2n01npz0tLS7Hb7VUef+nNuUFBQSxYsIA333yTFStW8Lvf/e6yxyxcuJAnn3yyuj+GiDSwt7aV36gbT0CAzeJqRMTX1Si8zJo1i1mzZlVr3/DwcCIjI8nMzKy0PTMzk/j46jcb22w22rVrx9GjR6vcZ86cOTz++OMV7x0OBwkJCdW+hoh4zqm8Ij5LM1tbp12rLiMRqTuP3rCbnJzM6tWrK21buXIlycnJFe9zcnJIT0+veF9WVlZpf4fDwc6dO+nUqVOV1wkJCSEiIqLSIiLe4d3UExgGDOoYRbtoPQ5AROrOo+Fl7ty5bNy4kXnz5pGSksIjjzxCRkYGs2fPrthn8eLF9OvXr+L9yJEjefnll9mxYwdr165l4sSJBAUF8aMf/ciTpYqIB5hzu5ijjHSjrojUF4+GlwEDBrBmzRpSUlKYMWMGJ06cYMOGDZVaUaKiokhMTKx4v2LFCrZv384DDzzAU089xcCBA9m1axdt2mheCBFfk3osl/TsAsKC7dykJ0iLSD2xGYZhWF1EfXM4HERGRpKXl6cuJBEL/fydnfwrJYNp/eP5/ff7WF2OiHi56n5/68GMIuIReUVO3r8wt8v31WUkIvVI4UVEPOKtbRkUlrro2iqcgR2jrC5HRPyIwouI1DuX2+DVzeb0BjOGdcBm09wuIlJ/FF5EpN6t33eaYzmFRIYG8b2+eoK0iNQvhRcRqXevfHEEgB8MTCA0uOoZtUVEakPhRUTq1cGsfD5LyybABv8zuL3V5YiIH1J4EZF6Vd7qMrZHHPEtNKOuiNQ/hRcRqTd5hU7eTT0BmDfqioh4gsKLiNSbN7dlUOR00S0unEEaHi0iHqLwIiL1wuU2WLb5CAD3aHi0iHiQwouI1Iu1ezM5nltE87AgbtHwaBHxIIUXEakzt9vg2XUHAZg+qD1NgjQ8WkQ8R+FFROps9Z5M9mXmEx4SyP0jOlpdjoj4OYUXEamTS1td7hnWgeZhwRZXJCL+TuFFROpk5e5M9mflE94kkPuGJ1pdjog0AgovIlJrLrfBs+sOAHDf8I5EhgVZXJGINAYKLyJSax/tOsXB0+eJaBLIvcN1r4uINAyFFxGpFZfb4M8XWl3uH5FIRBO1uohIw1B4EZFa+XDnSQ6dKSAyNIh79CgAEWlACi8iUmMlZa6KEUYPXp9IuFpdRKQBKbyISI39fVM66dkFxDQL4e6hHawuR0QaGYUXEamRjJxCFn9strr8cmJ3moUEWlyRiDQ2Ci8iUm2GYTD//T2UlLkZmhTN5D5trC5JRBohhRcRqbY1e7P4ZN9pguw2fn1LLz05WkQsofAiItVSWFrGk+/vAcybdDu1bGZxRSLSWCm8iEi1LP44jZN5xbRtHsqPR3a2uhwRacQUXkTkqvZn5vP3TYcBeHJyT0KD7RZXJCKNmcKLiFxRUamLR19PpcxtMLp7K0b3aGV1SSLSyCm8iEiVDMPg/97bzYGs88SGh7BgSi+rSxIRUXgRkaq9uS2Dd1KPE2CDxT/oR8vwJlaXJCKi8CIil7f3pIN5/zFHF80e25UhSdEWVyQiYlJ4EZHvyC928sg/UykpczOyaywP35BkdUkiIhUUXkSkErfb4Kdv7yQ9u4C2zUP54219CQjQZHQi4j0UXkSkgttt8It/72Ll7kyC7Db+ckc/WjQNtrosEZFKFF5EBLj43KJ/pWQQYIM/3NaXfu1aWF2WiMh3KLyICIZh8OsP97L8y6PYbPD77/fRQxdFxGspvIg0coZh8PTKffzj8yMAPD2lN1Oujbe2KBGRKwi0ugARsU5pmZunLrS4APzme724fUA7i6sSEbkyhReRRupUXhEPr0jlq4xzAPxqUg+mD25vbVEiItWg8CLSCH2els2jr+8gp6CUiCaBPPuDvozqpmcWiYhvUHgRaUScLjd/3XCIP649gNuAnm0ieGF6fxKiwqwuTUSk2hReRBoBwzD4ZN9pfvvfbzh8pgCA266L59e39KJJkN3i6kREakbhRcTP7c/M5zcf7WXTwWwAYpoFM2dCd6b214giEfFNCi8ifsgwDLam57BiyzE+2nkStwHB9gDuHd6RR0YmEd4kyOoSRURqrUHCS0lJCRkZGcTFxdGsWbNqHVNcXMyZM2do1aoVwcGanlykOvKKnLybepzXthwj7fT5iu0TesUxZ0J32kXr3hYR8X0eDS/Hjx9nyZIlrFixgpMnT7J8+XKmT59+1ePmz5/PokWLCA0Nxel08tvf/pZHH33Uk6WK+CTDMEg7fZ5P959hw4EzbE3PodTlBiA0yM73+rXhzkHt6dU20uJKRUTqj0fDy4YNG2jRogU7duygVavqDcNcvnw5ixYtYt26dQwdOpT333+fKVOm0K1bN8aMGePJckW8Xk5BKXtO5rH3pIM9Jx1sO5LDybziSvt0bRXOnYPb8b1+bYlQ95CI+CGPhpc777yzxscsXbqUqVOnMnToUAAmT57MiBEjWLp0qcKL+C3DMMgvKSO3oJScglJyC0vJcpRwPLeQE7lFHM8t4lhOIafzS75zbEhgAIMTo7mhSyw3dI0lMaYpNpvNgp9CRKRheNUNu263m9TU1O90LQ0fPpxly5ZZVNVF//nqBFmO4qvvKF7FMC6zrVr7GJW2G4b53gDc5euGgcswcBvmNrfbwOUGl9tNmdugzGXgdLspLTOXkguvRU4XBSVl5lJqrpe5L1PEZXSMaUqP1hH0aBPBNfGRDOgQpeHOItKo1Ci85OTkkJOTc8V92rZtS2hoaK2Kyc/Pp6SkhOjo6ErbY2JiyM7OrvK4kpISSkou/o/U4XDU6vpXs+yLI6QeO+eRc4uAeZ9KVNNgopoGE9MsmPgWYcS3CCW+RRhtW4TSqWUzmoV41f85REQaXI1+Cy5btoznnnvuivu89tprDBo0qFbFBASYD7l2Op2VtpeWlmK3V/0/y4ULF/Lkk0/W6po1kdy1JR1imnr8OtIwbFTuWinvabF9a1v5fjZb+T42AmwX/8weYMNmA7vNRkCA+T4wwEZgQACBdvN9SGAAwYEBhATaCQ4MoElgAM1CAmkaEkjTEDtNQwJpHhpMaLBaUERErqZG4WXWrFnMmjXLU7UQHh5OZGQkmZmZlbZnZmYSH1/1hFpz5szh8ccfr3jvcDhISEio9/pm3ti53s8pIiIiNRNgdQE5OTmkp6dXvE9OTmb16tWV9lm5ciXJyclVniMkJISIiIhKi4iIiPgnj4aXoqIi0tLSSEtLAyArK4u0tDTOnDlTsc/ixYvp169fxfu5c+eyceNG5s2bR0pKCo888ggZGRnMnj3bk6WKiIiIj/BoeNmxYwfjx49n/PjxJCUlsXTpUsaPH8+f/vSnin2ioqJITEyseD9gwADWrFlDSkoKM2bM4MSJE2zYsIFOnTp5slQRERHxETbDuNwgUd/mcDiIjIwkLy9PXUgiIiI+orrf35bf8yIiIiJSEwovIiIi4lMUXkRERMSnKLyIiIiIT1F4EREREZ+i8CIiIiI+ReFFREREfIrCi4iIiPgUhRcRERHxKTV6qrSvKJ802OFwWFyJiIiIVFf59/bVJv/3y/CSn58PQEJCgsWViIiISE3l5+cTGRlZ5Z/75bON3G43J0+eJDw8HJvNVm/ndTgcJCQkkJGRoWcmXYU+q5rR51V9+qyqT59V9emzqj5PflaGYZCfn0+bNm0ICKj6zha/bHkJCAggPj7eY+ePiIjQX+5q0mdVM/q8qk+fVfXps6o+fVbV56nP6kotLuV0w66IiIj4FIUXERER8SkKLzUQEhLC/PnzCQkJsboUr6fPqmb0eVWfPqvq02dVffqsqs8bPiu/vGFXRERE/JdaXkRERMSnKLyIiIiIT1F4EREREZ/il/O8NLSsrCxSUlKIjY1lwIABV5xYR8zPa/369XTq1InrrrvO6nK8UmFhIdu3b6ewsJBevXrRtm1bq0vyCocOHWLXrl20bNmSwYMH699aFQzDYNeuXRw9epQOHTrQu3dvq0vyCZs3b+bo0aOMGzeOFi1aWF2O18rIyOCrr74iPj6efv36WVOEIbXmdruNX/ziF0ZYWJgxZswYY9SoUcbIkSON/Px8q0vzWi6Xy0hOTjaCg4ONH/7wh1aX45V+//vfG/Hx8cbw4cONsWPHGqGhocYTTzxhdVmWmzt3rhEWFmaMHj3aaNu2rTFgwAAjJyfH6rK8zvr1641evXoZ11xzjTFx4kSjZcuWxvXXX2/k5uZaXZpX+/rrr42IiAgDMFJSUqwuxys5nU7joYceMpo2bWpMmDDBGDZsmDFp0iTD5XI1eC0KL3Xw5z//2WjatKmxffv2im2fffaZkZ2dbWFV3u3JJ580pkyZYgwaNEjhpQr/+Mc/Kn3RfP7554bNZjM++ugj64qy2Pr16w3A2Lhxo2EYhpGXl2d06dLFeOihhyyuzPusWrXK2Lt3b8X73NxcIzEx0Xj44YctrMq7FRQUGN27dzeeeeYZhZcrmDNnjhEbG2scPHiwYtt///tfo7S0tMFrUZtrLRmGwdNPP80Pf/hDrr322ortw4YNIzo62sLKvNemTZt46aWXePHFF60uxavNmDGD5s2bV7wfOnQocXFxfPXVV5bVZLUVK1YwYMAARowYAZjTkt9///3885//xO12W1yddxk3bhzdu3eveN+8eXNuvPHGRv3352p+/OMfc+ONNzJhwgSrS/FaBQUFLF68mCeeeIJOnTpVbJ8wYQJBQUENXo/ueamlgwcPcurUKcaOHcvevXs5ePAgHTp0oE+fPlaX5pVycnKYPn06L730ElFRUVaX41P27NlDZmYmvXr1sroUy+zates7P3/v3r1xOBwcO3aMDh06WFOYDygrK2PDhg3ccMMNVpfilV5//XW2bNnCtm3bOHTokNXleK3t27dTUFDA2LFj2bFjBxkZGXTq1IkePXpYUo/CyyU++eQTTp8+fcV9br/9dmw2W8V+L7/8Mjt27KBr165s2bKFbt268eGHH/r9g722bdtGWlraFfeZMGFCxQO27r33XqZNm8bo0aMbojyvcuDAAVJTU6+4z/Dhwy/7MNGCggKmT5/OsGHDmDhxoqdK9Hp5eXnfCb3lLZznzp2zoCLf8cQTT5CVlcWcOXOsLsXrHDp0iJkzZ7J27VpCQ0OtLserlX/nLViwgD179tChQwc+//xzRowYwdtvv01wcHCD1qPwconPPvuMvXv3XnGf2267DZvNRpMmTQDIzc1l7969BAYGkpOTwzXXXMNTTz3FokWLGqJky3z99desXbv2ivsMHz6cyMhI3nvvPT7++GNuvfVW/vWvfwFw9uxZDh06xL/+9S+mTZtGYKD//lU8dOgQ77333hX36dix43fCS1FREZMnT8bpdPLvf/+7UY+sCQkJ4fz585W2lb8v/7co37VgwQL+9re/8dFHH9GxY0ery/E6jz32GP3792ffvn3s27eP48ePA7BmzRqcTidDhgyxuELvUf7vLDAwkF27dmGz2cjIyKBXr14sWbKE2bNnN2g9/vuNUQvz5s2r9r6JiYkA3HLLLRVfvFFRUYwcOZLt27d7pD5vct9993HfffdVa9/IyEhuvvlmVq5cWbEtNzcXwzB47733uPXWW/06vEyYMKHGfenFxcVMnjyZzMxM1q9fT0xMjIeq8w1JSUkcO3as0rajR49it9tp3769RVV5t6effprf/OY3fPjhhyQnJ1tdjlfq168fBw8erPjPRV5eHgAbNmygWbNmCi+XSEpKAmDKlCnYbDYAEhISGDhwoCXfef77jeFhUVFRDBs2jH379lXavm/fPsv6AL3VyJEjGTlyZKVtgwcPpm/fvrzwwgsWVeW9yoPLyZMn+eSTT2jZsqXVJVnupptu4tFHHyU7O7siyL3xxhuMHDlSzf2X8cwzz/DrX/+aDz74gFGjRlldjtd66qmnKr3fvXs3q1at4re//a3moPqW7t2706lTp0rfeWVlZaSlpVUatNJQFF7q4I9//CNjxowhMDCQ3r17s3LlSg4cOMCKFSusLk182B133MGGDRtYtGgR69evr9jepUsXS35JeIO77rqLv/3tb4wZM4b777+fLVu2sHHjRjZu3Gh1aV7n5Zdf5mc/+xkPPvggZ86cqeiqbdq0KZMmTbK4OvFlS5Ys4bbbbqOwsJDExETeeustiouL+d///d8Gr0XhpQ4GDhxISkoKL730Eps2baJPnz4sWbKEuLg4q0vzemPGjNEIkSq0bt2aW2+9lS+++KLS9nHjxjXa8BIcHMynn37KCy+8wNatW2nVqhWpqal07drV6tK8jmEY3H777eTl5VW61yo2Nlbh5SqaN2/O7bffrhGRVRg/fjwbN27k1Vdf5YsvvuDGG2/k9ddft2Q2YpthGEaDX1VERESklhrv8AURERHxSQovIiIi4lMUXkRERMSnKLyIiIiIT1F4EREREZ+i8CIiIiI+ReFFREREfIrCi4iIiPgUhRcRERHxKQovIiIi4lMUXkRERMSnKLyIiIiIT/n/u/QjQg3NdYAAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "x = np.linspace(-6, 6, 100)\n",
        "plt.plot(x, erf(x), label=\"erf\")\n",
        "plt.plot(x, erfc(x), label=\"erfc\")\n",
        "plt.plot(x, erf(x) + erfc(x), label=\"sum\")\n",
        "plt.legend()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "07249a4b-3a36-49ff-bc62-4e41a2a2565b",
      "metadata": {},
      "source": [
        "### Decomposing the Green's function"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "def M(r):\n",
        "    return 1/r * erf(r/sigma) \n",
        "def W(r):\n",
        "    return 1/r * erfc(r/sigma) "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(0.0, 10.0)"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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//e9z1113cf7553PTTTeRn5/PypUr+frrr/nyyy8BmDBhAmPGjOH000/nxhtvZMOGDbH36nrssce44IILGv1uWnKdzkAtH3Uc3O2iO9uKiERaMqZMmdLk+IO0tLQG71999dV4PB7effddINKlMGXKFNxud4PjZ8yYwcMPP4zNduBX0o033sh5553XZE2NnS8vL6/Bwl4FBQVMmTKl3rFvv/02Tz31FIFAgIKCApYvX85VV10Ve//gRcQO9RrgrrvuYtCgQc3W8swzz/D555+Tl5dHbW0tl112Gd98801srIthGHz44Yc8+OCDBAIBzjvvPBYsWMCUKVNi++zatYtt27Y1+Ex1Heo6zf1ZHPw5OophRofCdiLl5eVkZGTg9XrrDRzqaPtq93Hmv84EoGL143xy71kc3Sut+YNERFqotraWzZs3079//w79V3ZnsWjRIr766ivuvPPOJvfZvn07zz//fItaSARWrFjB8uXL+eEPf5iwGpr7e9zS39/qdqkj1vIB++/vom4XEZG2OuWUUzjllFOa3Sc/P59HH300ThUd/oYPH87w4cMTXUa7qduljtiYD9h/fxd1u4iIiFhN4aMOh+1AQ5BhhPAF1PIhIiJiNYWPOmyGDYexP4AYQWrV8iEiImI5hY+DHFjlNESNXy0fIiIiVlP4OEjd6ba1AbV8iIiIWE3h4yAH31xORERErKXwcZC6N5er8St8iIiIWE3h4yB1u110bxcRkdarrq5m8+bNze5TWVlZ7/4qiVZaWnrIesrKyg75uTrq2lbzer2sXbuWsrKyuF43SuHjIC5bZK0PwwhqzIeICBAKhVizZk3sUVxcTHOLY0+ZMoWZM2c2e85AIMDJJ5/M2rVrrS63TZ5//nmuuOKKZvd56aWXuOSSSxJybStNmjSJ/Px8Lr30Ut5///24XbcurXB6kPqzXRQ+RERKSkoYOnQo+fn5pKSkUFpaSigU4le/+hV33XVXvX1XrlzJq6++SmFhYbPn7NatG3feeSf/+7//y7///e+OLL9FsrKyKCgoSHQZHW7Tpk388Y9/ZN26dXG5h0tT1PJxkAPdLlrnQ0SkrpkzZ7JmzRp2797Nww8/zN13383SpUvr7fOHP/yByy+/PHYTs9raWtasWUM4HKampoaNGzfGbu0+ceJE3nvvPbZs2dLiGpo7H0RaVLZs2UJ1dXWjx5umSVFREeXl5fW2X3HFFfz+979vsH9paSm7d+9u9Fy7du1i586d9bbt27evXteM1+uNtRht37692Raj1mrus+7Zs4dt27bFPsP69espLS1lwYIFAPj9ftasWUModOD3XCgUYuvWrdTW1lpWY1MUPg5Sd7aL1vkQEWncpEmTsNlsfPHFF7Ftpmny73//m3HjxsW2rVixgqFDh/Kzn/2M3NxcLrzwQr766isABgwYwIABA3j77bdj+2/evJni4uImr9vc+X7/+9/Tq1cvzjjjDHr16sVll13G3r17Y8fOmTOHgoICjj/+eAYOHMjYsWNjYy0O7voIBoPccsstZGdnM2LECAYOHMjixYvr1fKLX/yCH//4x/W2/e1vf6vXNTN79mwmTJjAhAkTGDVqFN27d+cvf/nLIb/fQznUZ50+fTqXXnopEyZM4Oijj+bKK6/knXfe4cEHHwQiYWvChAlUVFTEztejRw9OPvlkcnJyeOCBBwiHO+53oMLHQep2u6jlQ0Q6mmmaVAeq4/5o77/AKyoqCIVCuFwH7om1adMmSkpKGDFiRIP9v/76a3bs2MHatWs5/fTTY9tPOOGE2L/GAS655BIeeuihQ17/4PP99a9/ZcaMGSxYsIDCwkKKi4sJBALcc889sWPuvPNObrnlFnbv3k1JSQm//OUvWbFiRaPn/+Mf/8j777/PihUr2LlzJ3/729947bXXWvLV1HPZZZfFWj527tzJ66+/zuTJk1m9enWrzxXVks8Kke/ozDPPZM+ePXzzzTfcfPPN/P3vfwciIW7NmjVkZmYyc+ZMHn74Yf71r3/Fvpvu3bvj8/naXOOhaMzHQaIDTjGC+DTgVEQ6WE2whlP+2fydXzvCousWkexMbtUx27dvZ82aNZSWlvKb3/yGXr16ceWVV8beLyoqAqBHjx4Njn300UdJSUlpsL1nz558/fXXsdcDBgwgNzf3kLUcfL6nnnqK6667DofDwfr16zFNk2uuuYbbb7+dcDiMzWajvLycXr16xY4588wzmzz/888/z5133smQIUMAOP3007n66qtZvnz5IWtrTGVlJcXFxeTn5zNo0CBmz57N0KFD23SulnxWgLy8PO69995Dnm/69OnccccdnH/++QA4nU4eeOCBNtXWUgofB3Hb3UBktkuNwoeISMwjjzxCSkoKxcXF1NbW8sknn9CzZ8/Y+9FWEL/f3+DYAQMGNHpOv99fr/Xk3XffbVEtB59v1apV7N27t14XDkC/fv3Yt28fWVlZTJs2jUmTJvGPf/yDsWPHctlll3HCCSc0ev6NGzcybNiwetuGDx/e6vCxYcMGbr75ZpYsWUJ2djbJyckUFhayY8eOVp2nrpZ8VoD+/ftjGMYhz7d27VqmTp3a5nraQuHjIHUXGavVXW1FpIMlOZJYdN2ihFy3tWbOnMn48eMJBoNMnjyZH/zgB3z77bexX3bR2SI7duwgPz+/3rF2u73Rc+7YsYP+/fu3upaDz+d0OnnwwQeZNGlSk8fcdNNNXH755Xz++ed88sknnHHGGUybNq3BuA0Aj8fTYODlwQM7G/vFHgwG672+6667yM/P56OPPoq11JxyyintGk/Rks8KTX/nB3O5XE0O0O0oGvNxkFjLh03rfIhIxzMMg2RnctwfLfkXcVMcDgdPPfUUbrebn//857Ht2dnZDBkyhIULF7b4XIsXL+bss8+OvT7UgNOmnHbaabzxxhsNtgcCgdjPwWCQtLQ0vv/97/P0009zzz338OqrrzZ6vpEjRzJ37tx62+bMmVPvdc+ePWNdTVF1u5AAVq9ezUUXXRQLHrt3725ynEndmtesWVNvFk9dLfmsrTFmzBg++OCDetvC4bClM3MOpvBxkGj4QN0uIiJN8ng8PPbYY8ycOZP169fHtv/whz/kzTffbNE55s2bh8/n49JLL41ta+mA04NNmzaNRYsWceONNzJ37lzmzZvHtGnTuPzyy4HINNLjjz+eP/3pTyxdupRPP/2Ud999l1NPPbXR8/3sZz/jH//4B0888QSLFy/m/vvvrzezB+DCCy/kyy+/5JlnnmHZsmU8/vjjDULBqaeeyowZM5g/fz7/+c9/uPTSSw85kHPr1q0MHTq0Qdhp6WdtrV/96ld8/PHH3HPPPSxYsID333+fsWPHUlNT06bztYTCx0HqrvPhU7eLiAgOh4PBgweTmppab/t1113HeeedxwsvvBDbdscdd7By5crYv+6TkpIYPHhwo10Azz33HJMmTap33kMNOG3qfCeddBJLly7F5XJx77338tBDD1FdXR2b3WG323nnnXf46quvuOuuu/j1r3/NxIkTmTZtGtBwkbGxY8fy6quvMmvWLKZMmUIwGOT//u//6o01GT16NC+//DJvvPEGP/7xj6moqOCpp56qt89zzz3HCSecwOTJk3nkkUe47rrruPHGG8nOzo7tc/C1v/vuO3Jzc/ne977X6HdwqM8KkVaZvn37Njg2OTmZwYMH12v5Gj16NF9++SWlpaVMmjSJmTNn8vjjj5Oc3LoBya1hmB3ZrtJG5eXlZGRk4PV6SU9Pj+u1py+bzl9W/AX/3tNIrbqCZT8/L67XF5Guq7a2ls2bN9O/f388Hk+iy+kwM2fOZO3atfzud79rcp/t27dz1VVX8emnnzYINUe6xx57jAEDBnD99dcnupRGNff3uKW/vzXg9CAu+/5R17aQul1ERNrgtttuO+Q++fn5fPnll3Go5vBTdxxNV6Vul4NEw4dhBKgNhDp0wI2IiMiRyPLwUV1dzeTJk+nduzdOp5O+ffsyderUBtOPOqsDA05DhE3whzTuQ0RExEqWd7s88MADvP3223z44YcMGzaMhQsXcvHFF5OWlhZbU74zO7DCaWTKUm0gjNvRsrnSIiIicmiWt3x8/fXXjBs3juOPPx6Hw8Hpp5/Oaaed1mDuc2cV63axRVpqtMS6iIiItSwPH9dffz0fffQRS5YsoaqqitmzZ/Pll19y3XXXWX2pDhENH3ZbJHRo0KmIWE1jyeRwZsXfX8u7Xe68807Wrl3LqFGjALDZbPz6179mwoQJTR7j8/nqLbpSXl5udVktFh3zYdsfPrTEuohYxemMrCNUXV1NUlLrlzcX6QyiS7FH/z63heXh46c//Slvv/02S5cu5dhjj2XhwoVcfvnluN3uJu+uN23aNB555BGrS2mTg7tdtMS6iFjFbreTmZnJ7t27gciCT+1Z5lwknkzTpLq6mt27d5OZmdnie8c0xtJFxsLhMCkpKfz2t7+td6OeBx98kH/+859s2bKl0eMaa/no06dPQhYZW1i0kNs+uQ17MJey9VN49fbRjB6QFdcaRKTrMk2T4uJiysrKEl2KSJtkZmaSk5PTaHBOyCJjhmHgcDga9AeFw+Fmm2fcbjdut9vKUtosdmM5Qy0fImI9wzDIzc0lOzu7zTcCE0kUp9PZrhaPKMvDxxVXXMHvf/97TjrpJI477jgWLlzI888/z+23327lpTrMgam2Ch8i0nHsdrsl/xEXORxZPubj6aef5pFHHuGmm25i165d5OXlMWXKFKZOnWr1pTpEdMyHGQsfGnAqIiJiJcvDR2pqKk888QRPPPGE1aeOiwMrnKrlQ0REpCPo3i4HibZ8hIn0xWqdDxEREWspfBwk1u1CEAir20VERMRiCh8HiQ04BTBC6nYRERGxmMLHQWJjPgCMoMKHiIiIxRQ+DuKwHRiDayh8iIiIWE7h4yCGYdSb8aIBpyIiItZS+GhEdNAptiDVfoUPERERKyl8NCI66NQwFD5ERESspvDRiLrdLlW+YGKLERER6WIUPhoR7XYxjIBaPkRERCym8NGIWMuHLUiVXy0fIiIiVlL4aITbEQkfhhGgRi0fIiIillL4aESSPSnygy2gMR8iIiIWU/hoRLTlg/1jPkzTTGxBIiIiXYjCRyM8dg8Ahi1AMGziD+nmciIiIlZR+GiExxEJHxgBAI37EBERsZDCRyOis10cjsh4jyqFDxEREcsofDQi2vLh3B8+qjXoVERExDIKH42IjvlwOiItHmr5EBERsY7CRyOi3S52u1o+RERErKbw0Yhot0ssfKjlQ0RExDIKH42IdrvY7JHZLlpiXURExDoKH42ItnwYNrV8iIiIWE3hoxF17+0CaIl1ERERCyl8NCLa7WIafkAtHyIiIlZS+GjEwSucKnyIiIhYR+GjEdGWjzDR8KFuFxEREasofDQius5HCB8AVT61fIiIiFhF4aMR0W6XkBkd86GWDxEREasofDQi2u0SNCMtHxrzISIiYh2Fj0YcaPkIAmG1fIiIiFhI4aMR0TEfABhBjfkQERGxkMJHI2JTbQHD5lfLh4iIiIUUPhphM2y4bK7ICyNIlcZ8iIiIWEbhownRJdaxBajW8uoiIiKWUfhoQnTGi2H4qfKHCIfNBFckIiLSNSh8NCE27mP/nW0rNe5DRETEEgofTYjOeHE6IqGjolbhQ0RExAoKH01IciQBkOwOA1Cp8CEiImIJhY8mRFs+PK7ITJeK2kAiyxEREekyFD6aEJ3t4o6GD814ERERsYTCRxOS7JFuF5cj0u2iMR8iIiLWUPhoQrTlw+ncP9tF4UNERMQSCh9NiK7zcWC2i8Z8iIiIWEHhownRdT4c9siYj0qN+RAREbGEwkcTorNdbPZIi4fGfIiIiFhD4aMJ0ZYPw6bwISIiYiWFjyYkO5KBuuFDYz5ERESsoPDRhOgKp2F8gFo+RERErKLw0YQD4aMW0IBTERERqyh8NCHZGel2CcZaPtTtIiIiYgWFjyZEx3wEwmr5EBERsZLCRxOiLR/+cA0A5RrzISIiYgmFjyZEWz5qQ5Hw4Q+G8QVDiSxJRESkS1D4aEK05aM2WBPbpvu7iIiItJ/CRxOis11qQ7WkuAxA4z5ERESsoPDRhGi3C0BqkglorQ8RERErKHw0wW13YzMiX0+yJzLWQ+FDRESk/RQ+mmAYRqz1I9kTCR3lWutDRESk3RQ+mhENHyn7Wz7KaxQ+RERE2kvhoxnRGS9J7kj48Cp8iIiItJvCRzOiM148rki3i8KHiIhI+3Vo+PD5fNTU1Bx6x04qGj7czkj4KKtW+BAREWmvDgkfa9as4fzzzycjI4P8/HyuueYa9u7d2xGX6lDRbhdHNHyo5UNERKTdLA8fO3fu5IwzzqBPnz6UlJSwZ88err32WpYuXWr1pTpcdMCpw+EH1O0iIiJiBYfVJ3z88cdJTU3lueeew+l0AnDZZZdZfZm4iLZ82O2R0OGt9ieyHBERkS7B8paP999/n0svvRSn04nX6yUcDlt9ibiJrXJqU8uHiIiIVSwPH4WFhRiGwciRI+nTpw+pqalcf/31lJaWNnmMz+ejvLy83qMziA44xfABGvMhIiJihQ4ZcPrcc88xY8YMysvLWbNmDcuXL+euu+5qcv9p06aRkZERe/Tp06cjymq1aLdLmFogsshYOGwmsiQREZHDnuXhIy8vjwsvvJAzzzwTgL59+zJp0iQ++OADTLPxX9xTp07F6/XGHoWFhVaX1SbRbpcgkZaPsAkVurOtiIhIu1g+4PTss8+muLi43rbKykqSkpIwDKPRY9xuN2632+pS2i3a8uEP1eJx2qgNhCmvCZCR5ExwZSIiIocvy1s+7r//fubPn88f/vAHNm3axHvvvcdTTz3FbbfdZvWlOly05aM6WE1mkgvQQmMiIiLtZXnLxzHHHMNnn33GL37xC5588klyc3N56KGHuPvuu62+VIeLDjitDlSTkeSkuLyWshpNtxUREWkPy8MHwOjRo/n444874tRxFe12qQ5Wk5Ec6WrRdFsREZH20Y3lmlG/2yUSPtTtIiIi0j4KH81Icka6XWqCNbFBpmr5EBERaR+Fj2ZEWz6q/FVkJEV6qBQ+RERE2kfhoxlprjQAgmaQVE9kjRKvul1ERETaReGjGcmOZAwia5O4PZHFxfbp5nIiIiLtovDRDMMwSHWmApDkirR4lFYpfIiIiLSHwschpLoi4cPtioSOUrV8iIiItIvCxyGkOFMAcEbDh1o+RERE2kXh4xCig05t9sidbcuqAwRD4USWJCIiclhT+DiEaMuHadQQvS/ePs14ERERaTOFj0NIc0ZaPmqC1bGFxtT1IiIi0nYKH4eQ4oq0fFQEKuieErmz7d4qXyJLEhEROawpfBxCtOWjyl9F1v7wsa9K3S4iIiJtpfBxCNGptpWByljLR6laPkRERNpM4eMQogNOI+HDDcBejfkQERFpM4WPQ4hOta30V8a6XTTgVEREpO0UPg4h2vJREaigW2zAqcKHiIhIWyl8HEJjA05LKxU+RERE2krh4xAam2qrbhcREZG2U/g4hFjLR6DqQPjQzeVERETaTOHjEKJTbasCVWSm2AHYV+UnHDYTWZaIiMhhS+HjEFKdqbGfPa7I4mLBsIm3RguNiYiItIXCxyG47C5ctkh3SyBcG7u/S0mlFhoTERFpC4WPFoh2vVQEKshOiyw0VlKh8CEiItIWCh8tEO16qQpU0XN/+NhdUZvIkkRERA5bCh8tEFtozK+WDxERkfZS+GiBdFc6EAkfPRU+RERE2kXhowXS3ZHw4fV5yU7zALBb4UNERKRNFD5aIMOdAUC5v1wtHyIiIu2k8NEC0W4Xr89bZ8CpwoeIiEhbKHy0QN2WDw04FRERaR+FjxaItnyU+w50u3hrAviCoUSWJSIiclhS+GiBaMuH1+8lI8mJyx752tT6ISIi0noKHy2Q4drf7eIrxzAMDToVERFpB4WPFohNtfV7ARQ+RERE2kHhowWiLR9enxfTNGODTneVa4l1ERGR1lL4aIFoy0cgHKA2VEtuRmShsWKFDxERkVZT+GiBZEcyDsMBRFo/cjKSACgqU/gQERFpLYWPFjAMo94S69GWjyKvwoeIiEhrKXy0UGytD3+5ul1ERETaQeGjhWKrnPrKyY12u3hrME0zkWWJiIgcdhQ+Wqhuy0d2emS2S20gTFl1IJFliYiIHHYUPlootsqpz4vHaScrxQVo3IeIiEhrKXy0UN0l1gFyYuM+ahJWk4iIyOFI4aOF6t5cDoiN+9ip6bYiIiKtovDRQtGWjzJfGcCBGS/qdhEREWkVhY8WOjh85GitDxERkTZR+Gih7u7uAJTWlgIHWj52lmnMh4iISGsofLRQN083APbV7gMgv1syADsUPkRERFpF4aOFouGjzFdG2AyT3y064LSGUFgLjYmIiLSUwkcLdfdEul1CZogKfwW90j047QbBsKll1kVERFpB4aOFXHYXKc4UINL1YrcZ9M6MtH5sL61OZGkiIiKHFYWPVujm3j/uwxcZ99Fn/7iPwn0a9yEiItJSCh+tEO16ic54iY772L5PLR8iIiItpfDRCg1nvETDh1o+REREWkrhoxUODh99uu/vdtGYDxERkRZT+GiFaPho2O2ilg8REZGWUvhohegqpwcPOC0uryUYCiesLhERkcOJwkcrZHoygQPdLj1S3bgdNkJhUyudioiItJDCRytEZ7tEw4fNZlCQFVn7Y/OeqoTVJSIicjhR+GiF6Dof0TEfAP17KHyIiIi0hsJHK9Sd7WKakfu5FOwPH1sUPkRERFqkQ8NHIBBgxYoVFBYWduRl4iba7eIP+6kKRMLGgP3hY5PCh4iISIt0aPh44IEHOPbYY7n33ns78jJxk+xMJtkRmeGyp2YPUKflY6/Ch4iISEt0WPj44IMP+Pjjjxk7dmxHXSIheib3BKCkpgQ4MOZj+74afMFQwuoSERE5XHRI+Ni5cye33347L730EklJSR1xiYTpkdQDgL01eyOvU12kuh2YJmzbq5VORUREDsXy8BEOh7nhhhuYMmUKI0eOtPr0CRcNH9GWD8MwNONFRESkFRxWn/DXv/41AP/zP//T4mN8Ph8+ny/2ury83OqyLNMzKdLtEh3zAZFxH9/t8Cp8iIiItIClLR/ffPMN06ZN4/7772fVqlWsWLGCiooKysvLWbFiBYFAoNHjpk2bRkZGRuzRp08fK8uyVFZSFlA/fPTXoFMREZEWs7TlY+/evQwYMICf/vSnsW3btm3DMAyuvfZaPvnkE3r37t3guKlTp3LffffFXpeXl3faANJYy0f/HpEZMJtKFD5EREQOxdLwMXbsWFasWFFv28UXX4zH4+GNN95o8ji3243b7baylA5z8JgPgP49UgGt9SEiItISWuG0lQ6e7QIwsGek26Wkwse+Kn9C6hIRETlcdHj46NevH3379u3oy8RNdJ2P0tpSAuHIGJY0j5O8zMiU4nW7KhJWm4iIyOHA8tkuB3vmmWc6+hJxlenOxGE4CJpBSmtK6ZXSC4DBOWnsKKth3a4KThmQleAqRUREOi91u7SSzbDRPSlyj5e6g06P7pUGwFq1fIiIiDRL4aMNouM+6oaPwTmRQafriisTUpOIiMjhQuGjDaLTbXfX7I5tq9vyYZpmQuoSERE5HCh8tEGv5Mg4j11Vu2LbBvZMxWaAtyZASYWvqUNFRESOeAofbZCTkgNAcVVxbJvHaadg/0qnGvchIiLSNIWPNojOcNlVvave9sHRrpdihQ8REZGmKHy0QU5yw5YPqDPuQ+FDRESkSQofbVC35aPu4NIhOZHwsaqo896VV0REJNEUPtogOzkbgJpgDeX+A0FjeF4GEFnl1BcMJaQ2ERGRzk7how2SHElkujOB+uM+8rslkZHkJBAytd6HiIhIExQ+2ig63bbuuA/DMDh2f+vHdzu8CalLRESks1P4aKPodNuDZ7wMV/gQERFplsJHGzXW8gHEWj5WKHyIiIg0SuGjjWItH1X1Wz6i4WNtcQX+YDjudYmIiHR2Ch9tFJ1ue3DLR5/uSaR7HPhDYdZppVMREZEGFD7aqHdKbwB2Vu2st90wjNi4D3W9iIiINKTw0UZ5qXkAFFUVEQrXX9Pj2PxI+Pi6sCzeZYmIiHR6Ch9tlJ2cjcPmIBgOsrt6d733TuzbDYDl2/YlojQREZFOTeGjjew2O7kpuQDsqNxR770T+kXCx7pdlXirA3GvTUREpDNT+GiH3qmRcR8Hh48eqW7690gBYHmhWj9ERETqUvhoh/zUfKBh+AA4Idr1slXhQ0REpC6Fj3aIDjptLHycuL/rZZnCh4iISD0KH+3QXPg4qSASPr4uLCMY0mJjIiIiUQof7RAd87GzcmeD947qmUqax0G1P8TqIi02JiIiEqXw0Q75aZExH7uqdxEI15/VYrMZsa6XRZv3xr02ERGRzkrhox2yPFkkOZIIm2F2VDTsehkzMAuALzcqfIiIiEQpfLSDYRj0TesLwLaKbQ3eHzOwBwCLNpdq3IeIiMh+Ch/t1C+9HwBbvFsavDc0N52MJCeVviDf6T4vIiIigMJHu0XDx9byrQ3es9sMRg/oDsACdb2IiIgACh/t1lz4gANdLxr3ISIiEqHw0U6xbpfyLY2+Hx10umRLKbWBUKP7iIiIHEkUPtqpIL0AiEy3rQnWNHj/qOxUstPc+IJhlmwpjXN1IiIinY/CRztlejLJcGcAsK284YwXwzA4a3BPAD5fUxLX2kRERDojhQ8LHGrcx9mDswH4fO3uuNUkIiLSWSl8WCDa9dJU+Dh9UA8cNoPNe6rYvKcqjpWJiIh0PgofFjjUoNM0j5OTCyJTbj9fo9YPERE5sil8WOBQ3S4AY4eo60VERAQUPiwR7XbZ5N2EaZqN7nP2/vCxaFMp5bWBRvcRERE5Eih8WKAgowC7YafCX8Hu6sZbNo7KTmVgzxT8oTCzV6v1Q0REjlwKHxZw2930TY/cYG5D2YYm97vw2FwAPlxRFJe6REREOiOFD4sMyhwEwPp965vcZ/zwHADmrC2hyheMS10iIiKdjcKHRY7qdhQA68uaDh/H5KbTLysZXzDMnLVacExERI5MCh8WOTrzaKD5lg/DMGKtHx98p64XERE5Mil8WCTa8rHJu4lQuOkbyF18bG8APlu9S7NeRETkiKTwYZH81Hw8dg++kI/CisIm9xuel86g7FR8wTAfqvVDRESOQAofFrHb7AzIHAA0P+PFMAwuPyEfgDeX74hLbSIiIp2JwoeFWjLjBWDCyN4YBizeXEphaXU8ShMREek0FD4sNKjb/vDRzIwXgNyMJE4b2AOAf3+l1g8RETmyKHxYaEj3IQCs2rvqkPtefkIeAG8t397kkuwiIiJdkcKHhYZmDQVgR+UOymrLmt133LAcUt0OtuytZsHGvXGoTkREpHNQ+LBQuiudvmmRZdZXlTbf+pHidsRaP/7xZdN3wxUREelqFD4sNixrGNCyrpcbRvcD4NPVuyjy1nRoXSIiIp2FwofFjsk6BoCVe1Yect+je6UxekB3QmGTVxZt6+jSREREOgWFD4sN6xFp+Vi599DhA+DG0QUA/HNxIf5guKPKEhER6TQUPiw2tHtk0GlRVRGltaWH3P/8Yb3ITnOzp9LHe9/s7OjyREREEk7hw2KprlQK0guAlo37cNpt3DQmsv+f/ruRcFjTbkVEpGtT+OgA0XEf3+35rkX73zC6H6luB+t2VTJ7ze6OLE1ERCThFD46wHE9jwPgm93ftGj/jCQn14+OTNF9ds4GLTomIiJdmsJHBxiZPRKAb0q+IRQOteiYW0/rj8tuY/m2MhZvPvRYERERkcOVwkcHOLrb0SQ7kqkMVDZ7h9u6stM9XHFi5G63M/7T/L1hREREDmcKHx3AYXPEul6+2v1Vi4+7++yBuOw2Fmzcyxcb9nRUeSIiIgml8NFBTsg+AWhd+Mjvlsx1p0TGfvy/j9dq7IeIiHRJHRI+QqEQa9as4bvvvqOm5shcNnxE9gigdeED4O6zjyLJaeebwjI+W62ZLyIi0vVYHj6efvppCgoKmDBhAtdeey29e/fmL3/5i9WX6fSO63kcdsNOUVURxVXFLT6uZ5qbm08rAOC3H60hENKqpyIi0rVYHj7Ky8tZsmQJa9asYeXKlTz55JPcfvvtfPNNy6addhUpzhQGdx8MwLJdy1p17B3fG0j3FBcbdlfqjrciItLlWB4+HnzwQXJycmKvJ06ciMPhYNGiRVZfqtMblTMKgEVFrfvsGUlOfnp+JLg89dk69lb6LK9NREQkUTp8wOnXX3+N3+9n0KBBTe7j8/koLy+v9+gKRueOBmBh0cJWDx695uQ+HJObTkVtkN99sq4jyhMREUmIDg0fVVVV3HzzzZx55pmcddZZTe43bdo0MjIyYo8+ffp0ZFlxMzJ7JA6bg6KqIgorClt1rN1m8MvvR+6Q++qSbSzbuq8jShQREYm7DgsftbW1TJgwAb/fz+uvv45hGE3uO3XqVLxeb+xRWNi6X9SdVbIzmRE9RwCR1o/WGtW/O1eckI9pwgNvfosv2LLVUkVERDqzDgkfPp+PCRMmUFhYyOzZs8nOzm52f7fbTXp6er1HV1G366Utfn7xUHqkRgafPjO7ZaulioiIdGaWh49o8NiyZQuff/55vcGnR6LRvSPhY3Hx4hbf56WuzGQXj146HIBn52xkdVHXGA8jIiJHLsvDx9VXX838+fP55S9/ydq1a5kzZw5z5sxhy5YtVl/qsDAsaxipzlS8Pi8r965s0zkuGJ7DuGG9CIZN/ue1b9T9IiIihzWH1SesqanhxBNP5Lnnnqu3feLEiUycONHqy3V6DpuDMb3H8MnWT5hTOCd2z5fWMAyDxy4dzuLNpawqKue3H67l4UuOsb5YERGROLA8fHzyySdWn/Kwd1afs/hk6yf8d/t/+fEJP27TObLTPfzuquO59W9LeeGLzZw+KIuxQ3pZXKmIiEjH043l4uCMvDOwGTbW7ltLUWVRm89zztBesaXXf/r6t+wqr7WoQhERkfhR+IiDTE9mbMrt3O1z23Wu/71gCMfkplNa5eeul5Zp/IeIiBx2FD7i5Mz8MwGYs31Ou87jdth55voTSPc4WL6tjF++u7LVq6eKiIgkksJHnJzV5ywAFhctpsJf0a5z9e+Rwh9+MBKbAa8sLuSlRdssqFBERCQ+FD7iZEDGAAZkDCAQDvB54eftPt9Zg7O5f/wQAB55dyX/XVfS7nOKiIjEg8JHnBiGwfiC8QB8vOVjS855x5kDmDCiN8GwyV0vLeO77V5LzisiItKRFD7i6PyC8wFYsHMBXl/7g4JhGPy/K4/ntKOyqPKHuPmvi9m6t6rd5xUREelICh9xNDBzIEdlHkUwHGT2ttmWnNPlsPHcDSdyTG46eyr93PCXRewsq7Hk3CIiIh1B4SPOxhWMA+CjLR9Zds40j5O/3nwy/bKSKSyt4QczF1LkVQAREZHOSeEjzi7qfxEAX+78kuKqYsvOm53u4ZXbRtO3ezJb91Zz7fMLKfZqETIREel8FD7irE96H07IPgETk1mbZll67t6ZSbxy+2j6dE9i695qrnn+S7btrbb0GiIiIu2l8JEAE46aAMDbG962fIGwvMwkXrntQAC5/I8LWLlTs2BERKTzUPhIgHEF40hyJLG1fCvflHxj+fnzuyXz5p1jGJKTxp5KH9f8aSELNu6x/DoiIiJtofCRAMnOZM7vF5l2+/q61zvkGtnpHl6781RO6d+dSl+QiS8s4bUlhR1yLRERkdZQ+EiQqwZfBcBHmz+itLa0Q66R7nHyt1tGcdGxufhDYe5/81seeW8lwVC4Q64nIiLSEgofCXJcj+MYljUMf9jPW+vf6rDreJx2/u8HI/nJuYMAePGLLdz04mL2Vvo67JoiIiLNUfhIEMMwuG7odQD8a+2/CIaDHXYtm83gJ+cezXM3nECyy84XG/Zy4R/m8eXGvR12TRERkaYofCTQ+ILxdPd0p7iq2JKbzR3yesNzeWvSGAb2TGFXuY/r/7yQpz5dRyhs7YwbERGR5ih8JJDL7uKKQVcA8NKql+JyzSE56bw3+XSuOjGfsAkz/rOeHzy/UPeEERGRuFH4SLBrh1yL0+Zk+e7lLC1eGpdrJrscPHHV8Uy/ZgQpLjuLt5Qyfvo8XvxiM2G1goiISAdT+Eiw7OTs2KJjM7+bGddrTxiZx0c/OZNTB2RREwjxyHuruOb5L9mwuzKudYiIyJFF4aMTuGX4LdgNOwt2LmDFnhVxvXaf7sm8/KNT+NWE4aS47CzZso8LZvyXaR+upsrXcYNgRUTkyKXw0Qnkp+Vz0YDIDeee//b5uF/fZjO4YXQ/Pr73TM4Zkk0gZPKnuZs45/dzee+bnZYvAS8iIkc2hY9O4kfH/ggDg88LP49760dUfrdk/jLxZP5y00n07Z5McXktk1/5ique+5KlWzpmITQRETnyGGYn/GdteXk5GRkZeL1e0tPTrTvx+s+gphRsdrA56jzqvnaCMwlcKeBMPvCz3WldHU342fyf8e7Gdzmp10m8MO4FDMPo8Gs2pTYQ4k9zN/HsnA34gpEVUc8dms1Pxw1mSI6FfyYiItJltPT395EVPv58Hmxf3LZjbU5wJYMrFTwZkNQt8vBkQlLm/tf7n5OzILVX5JHUDVoYIoqrirnorYvwh/08c84znJl/ZttqtVCxt5YZ/1nPa0sLCYVNDAMuG5HHpLOP4qjs1ESXJyIinYjCR2M+fABK1kA4tP8RrPPY/zrkh0ANBKrBXwVmqH3XtDkjISRtfxhJzYbUHEjLgYw+kJEPmX0irSvAU8ue4oUVLzAwYyBvfP8NHDaHBR+8/TaWVPL7T9bywXfFQCRPXTA8h0lnHcXwvIwEVyciIp2BwocVTDMSRvxVdQJJJdSUQc0+qN3/HHuURR5VJVC5K/J+SyV1g4w+lKf35sLgerxmgAf7XswPhlwL3fqDp3N0dXy7vYz/m72BT1ftim07a3BPbj9zAKcOyEpoV5GIiCSWwkdnEPRB5e5IEKncBRXFB16X7wTvdvAWgq+83mGvpKXyeI/upIbDvLd9Jz1CYUjpCd0HHPToH3lO6hb3j7amuJw/ztnIe9/sJLou2eBeadw0poDLRuaR5LLHvSYREUkshY/DSa03EkTKCsFbSKhsG9fv+oSV4WourA3y26KdzR+f1C0SQnocHXn0HAw9BkO3ArB3bLfNlj1V/Hn+Jt5ctoOaQKSLKiPJyTUn9+G6UX0p6JHSodcXEZHOQ+HjMLdy70que/86wmaY5783nVPdPaB0U53H5shzRVHTJ7E5IWtg/UDSY1Dk4bI2FHhrAry+tJC/f7mVbaXVse2j+nfn6pP6cOGxOSS7Osf4FRER6RgKH13A44se55U1r9A7pTdvfv9NUl2NzC7xV0WCyN4NsGc97FkHe9ZGfg5UN9w/KqMv9Dwaeg6B7GOg1zGRcOJKblfNobDJ52t284+FW/nv+hKif7tSXHYuPq43V56Uz4l9u2GzaWyIiEhXo/DRBVQFqrji3SvYUbmDCUdN4LHTHmv5weEwlG+HknUHAknJ/ufqvU0cZETGkWQfA9lD9z+GRVpP2rDOyc6yGt5avp3Xl21n694DQSg3w8OFx+ZyyfG9OT4/Q4NURUS6CIWPLmLZrmXc/NHNmJjMOHsGY/uObf9Jq/ZGAknJmshj10rYvarpUGJzRrpuYoFkfzjJ7Ae2Qy+Sa5omizeX8vqy7Xy0opjKOveM6dM9iYuO7c2Fx+YwvHeGWkRERA5jCh9dyJNLn+TFlS+S6c7ktYtfIzc1t2MuVFkSCSG7V9d5Xg3+isb3d6ZA9pD6gST7mMh6Jk20ZtQGQsxdV8Ksb4v4z+pdVPsPrKOSnebmnKHZnDOkF6cd1UMzZkREDjMKH12IP+Tnhg9uYHXpao7rcRx/Hf9XnHFY7h2IrHXiLTwokKyKdOGEfI0fk9QNeg5t2FKS3L3ebjX+ELPX7Ob973Yyd20JVXWCiMdp47SBPRg7NJszB/WkT/f2jUUREZGOp/DRxWyv2M7Vs66mwl/BdUOuY+opUxNbUCgI+zYfCCTRrpvSTWCGGz8mtVfDVpKeg8Gdhi8YYuGmUv6zehf/Wb2bHWU19Q7tl5XMaUf14PSjejBmYBaZya44fEgREWkNhY8uaE7hHCbPngzAL079BVcefWViC2pMoBb2rm/YUlK2reljMvrWayUxew5mbSiXz9aXM2dtCV8VlhEKH/hrahhwbF4Gpw7MYlRBd07s101hRESkE1D46KL++PUfefabZ7Ebdp4951nG5I1JdEkt46uEkrUNx5RUFje+v2GLLJyWPRRft6NZZ/bhv2U9eW97EmtKahvsPrhXGicVdGNU/+6cVNCdvMykDv5AIiJyMIWPLso0TX42/2e8t+k9Upwp/P2Cv3N0t6MTXVbbVZdGZtzUHeC6e1XkXjmNsTkJdBtIsbuAtYEcFpZn8WV5FpvMHGrwxHbrneFhZN9uHJefwXH5mRybn0GqW4uciYh0JIWPLswf8nPHp3ewdNdSeib15MXxL9IvvV+iy7KOaUbuf1M3jOxeHQkp/somDytz5bDJ7M03tdlsCPdmo9mbjeHelBBZS2Rgz1SOy8/g+PxMjsvPYGhuOh6nZtSIiFhF4aOL8/q8TPxoIhvKNtAruRd/Hf9X8tPyE11WxwqHIzNvStbsX6dk/0que9Y23VICVJDMhnDvA4HE7M1mM4cdRi/yenRjaG46Q3LSOCY3nSG5aeSke7TwmYhIGyh8HAH21Ozhlo9vYbN3M3mpebww7gV6p/ZOdFmJEV04LfbYv9R82dYmZ9+ETYMiurM13IstZi+2mDlsNXPY684juddRDMzL5uheaRyVncpRPVPplqJBrSIizVH4OELsrt7NzR/dzLaKbWQnZ/Onc//EUd2OSnRZnUegNjL9t24g2bMOs3QThq+82UOLzW5sNXuxOXwglJjdBpCSM5A+uTkclZ3KwJ4p9M5I0sqsIiIofBxRiquKuePTO9jk3US6K51nznmGEdkjEl1W52aakcGupRvr3S04vGcj5t4N2P3NBxOvmcx2syfbzZ4U2XpRk5yHmdEHV88C0nMGkderJ327J9M7Mwm7gomIHCEUPo4wZbVl3D37br4t+RaP3cNjpz3G+P7jE13W4au6NHK34NJNULqRYMkG/CUbsZdtxu1venxJ1D4zle1mD3aQTbm7N77UPBzd+pLUox/dcgro2as3ed2TyUiK00q1IiJxoPBxBKoOVPPTuT9l3o55APzo2B9xz4h7sNs0o8NSvsrIwNeybYRKN1NRvAn/ni3YvIUkV28nOdR8qwmAz3RSZHZnt9GDcldPfEk5hNJ748jMJ7lHXzJzCuiVk0d2ulpOROTwofBxhAqFQ8xYPoMXV74IwGl5p/Hr035NVlJWgis7gtSWg7eQUOlWKoo3Ur1rE6F9W3BU7iS5dhcZoUO3nEAkoBTTnb32nlS6euD39CSc0gt7eg7ubrmkZOWRmd2Hnj17kepRC4qIJJ7CxxFu1qZZ/HLBL/GFfGR5svjV6b/i9LzTE12WAAR9UFFE7d5Cyoq3UL1nG8F9hRjlO3HXFJPu301muGUBBSIhZQ+ZlNm7U+Xqgd/Tg3BqL4zUXjgzc3Fn9iatRy4ZWbl0z0hXS4qIdBiFD2HdvnU88N8H2FC2AYAbht7A5JGTSXbqDrGdXtBPyLuDfcVbKN+1Bd++nQTLizEqd+GqKSHZv4f0YCnpNL3oWmMqTQ9lRgYV9kxqnJn4Xd0JJfWAlCwcaT1xZfQipVsOad17kZ6VS3JKqtY8EZEWU/gQAGqDtTy57EleWfMKAHmpeTw0+iG1gnQVgVqqSndStruQij3b8e0rIugtxqgqrhdSMsxynARbffpK04PXSKfCnkm1I4OAK4OgKxOSumEkd8OekoUrLYukjB6kZPQkvVtP0jKysDm0lL3IkUjhQ+qZt30ejy18jKKqIgAuKLiAe0+8l9zU3ARXJnFhmgSry/DuLaJ8TzE1ZcX4vLsIVu6BqhLs1Xtx+UtJDuwjLeQlw/TiMkJtulTYNKgwkqk00qiyp1PjyMDvzCDoyiDsyYSkbtiSMnAmZ+BM7UZSajeS0ruTktaNtMwsnC63tZ9dROJG4UMaqA5U8/TXT/Py6pcJm2FcNhc3HHMDPzr2R6S50hJdnnQiZjhMdUUZFXt3UlW2i9qyXfgr9hCq2ke4uhRbbRl2XxlOv5ekYDkp4XLSwhWkGA3vONxa1aabKiOZalsqPnsKPnsqAVc6IWcaYVcapjsDIykdmycDe3ImzpRM3CkZuFMySE7NICU9kyRPMobNZsE3ISKtofAhTVq1dxVPLHmCpbuWApDpzuRHx/6Iq46+SuNBpF18vhrKS0uoLNtDlbeEQMVeglWlhKtKoWYfNt8+HD4vjkAFrmAlnlAlyeEqUswqkg2fZXUETDs1hodqkqi1JeGzJROwJxN0pBB0pGC6UjBdqeBKxXCnYfOkYfOk4vCk40xKw5mcgTslHXdKOkmpmSR5krDbFWZEDkXhQ5plmiZzt8/lqWVPscm7CYiEkOuHXs8PhvyADHdGgiuUI00w4KeqfB+V3lJqKkqpqdiHv3IfwZoygtVejFovhq8Ce6A8Fl7cwUqSwpV4wtUkU0My1gWYerWZNmpxU2O48Rke/IYbvy2JgM1DyJFEyJ5E2BF5mM5kcKVgcyVHHu5UHJ5kHO5U7J5UnJ4UnJ4UXMlpuD2peFLScLs9aqmRLkHhQ1okGA7y7sZ3+ct3f2FbxTYAkh3JfH/g97lm8DW6T4wcVsxQkJrqcqorvNRUeqmt8uKrLidQXU6wpoJQbTnh2krwVYC/ClugEnuwGmewCleoGne4Gk+4Go9ZS5JZY2lrTHPqhhs/bgI2F37DTdBwEbK5CdrdhO0ewvufTUfkYTiTMBweDKcHw5WE3ZWM3eXB4UrG4U6OhB5XEs79P7vcybiSknB7UrFrULB0AIUPaZVgOMinWz9l5nczWb9vfWz7CdkncM3gazin3zm47RoIKEcWMxTEV11BTXUFtVUV+Goq8ddUEKipIlhbSaC2krC/mrCvCtNfhRmowQhUYwtUYwtWYw/V4gjV4AzV4AzX4jZrcZs+PKYPD7VtHtRrBb9px4cLv+HCh4uA4SZgOAnaXIQMJyGbi7DNRcjmJGxzE7a7wO7CtLsx7W4Mhwscbgy7C5xJ2JwubA4Pdqcbu9OD3RV5driS9geiyDany4PT5dkfipJwutxq9elCFD6kTUzT5MuiL3lt7WvMKZxDyIz8xzHVmcq5/c7lwv4XMipnlJZsF7FA0O+jtqYSf00lvuoKArWVBGqqCfhrCPqqCfqqCftrCAVqMP01mIEazEAtZrAWY//DFqrFFvRhD/siYSfsw2H6cYZ9uEw/Lny4zAAe/LiM1k+3jge/6cCPE7/hIICToOGMPYeiD5sT03AQsjkI25yEbU6wOTFtTsJ2J9hcYHOAwxX52e4ChxOb3YnhcGHY3RhOF3a7c39QcmNzuLA7XTgcbmzOyM82hzuyzenG7nBhd3lwOp04nJFnBaXmKXxIu+2q2sWb69/krfVvsat6V2x7lieLs/uezffyv8cpuaeQ5EhKYJUi0lLBQAC/r5qArwZ/bTWB2moCviqCvlqC/mpC/hpCfh+hQC3hgI9woAYz6Ccc8GEGfZHVeUORZyPkwwj5sYX9+58DOMI+bGE/djOAIxzAYfpxmAFcBHBGnwkktMWnvXymgyB2gjgIGA6COAliJ2Q4CBkOwtgiz4aDsGHf/+zAtO3fZnNg7n+NzY5pc+7/ObrNiWFzgN0JNgeG3Ylhd4DdhWG3R8KU3YXNHnnP5og8DLsTe+zZhc3hxG53YHO4sNmd2J2R7Q5HJHw5HE48SanY7Nb+Q1LhQywTNsN8tfsrPtj0AR9v/Rivzxt7z213c0ruKZyRdwajckbRP6O/VsQUkWaFQiEC/lp8tTUE/TUE/bWE/L79P/sIBWoIB3yEAj5CAT/hUIBw0Ec44I+EoZAfgn7MkB8zFIBQAEJ+CAUwQn4IBzDCwUgoMgPY9r+2hwPYzAB2M4jNDOLY/7PDDOIggIMQDjMSJ5wEcR7GIakl1lz4JkNGnWvpORU+pEMEQgEWFS9ibuFc5m6fG1u0LKq7pzsn9TqJk3NOZmT2SAZmDsRh08A2ETn8hENhAkFfJBD5/QSCkTAU9PsIB/2RcBT0Ew76CAUDhIOB/UHJTzgYxAxFXseeg0EIBzBDkfcIByPBKRzADAf3B6YAmCGMaIAKhzDMALZwEMMMYTMj+9nMIHYzhLH/2c7BzyEcdX52EsJBCJtx4Ff+uu+/w9EnnGXpd6bwIR3ONE3Wl61nbuFcFhUt4uuSr/GF6s8O8Ng9DOk+hGE9hjEsK/Lom95XgUREJAHCoRDBgJ9g0Nchs54SHj6+/fZbtm7dyqBBgxgyZEirjlX4ODz5Q35W7FnBkuIlLNm1hBV7VlAVqGqwn9PmpCCjgAEZAxiYMZABmQMYkDGAvNQ8LXImInIYS1j48Pv9XH311cybN48RI0awZMkSrrrqKv785z+3eCyAwkfXEDbDbCnfwso9K1m1dxUr965kTekaaoI1TR7T3dOd/NR88lLzyEvLIy81j94pvemR3IMeST3IdGdiMzTaXESkM2rp72/L276nT5/OF198wTfffEN+fj4rV67kpJNO4qyzzuLGG2+0+nLSidkMGwMyIq0alwy8BIgEkqKqIjaWbWRT2SY2eiPPm72bqQhUUFpbSmltKd/u+bbRczoMB1lJWfRI6kHPpJ70SO5BN3c3MtwZZLgzSHelR352ZcS2ueyueH5sERE5BMtbPo499li+973v8fTTT8e2XX755VRWVvLJJ5+06Bxq+TgyeX1edlTuYEflDnZW7mR7xXZ2VO6gqKqIvTV72efb16bzeuwekp3JJDuS6z2nOFNIciTV2+5xeHDanLjtblx2V+Rhc+G2u3Ha62y3uWLv2w07DpsDu2HHbrPjMBzYbXa10IjIESchLR/BYJDVq1czefLketuPO+44nnvuuSaP8/l8+HwHBip6vZGpnOXl5VaWJ52cgUG+M5/8bvnQreH7gVCA0tpS9tbuZU/1HvbU7mFvzV68fi/lvnLK/eVU+Cso95dT7iunIlBB2AxTtf9/iRANInbs2Gw2HIYDm2GLhRSbzYbdsGMYBjZssa5Jm2HDwIgFmLrvGxj19gNi+xoceD92vFH//YM1tq3xTS2fQt1YF2uj125hV2xLj23x5xMRbjvuNvqm97X0nNHf24dq17A0fFRWVhIKhejWrf5vjqysLMrKypo8btq0aTzyyCMNtvfp08fK8kRERGS/P/CHDjt3RUUFGRlN36DU0vDhdkfu/VFdXV1ve2VlJR6Pp8njpk6dyn333Rd7HQ6HKS0tJSsry9IFq8rLy+nTpw+FhYXqzulA+p7jQ99z/Oi7jg99z/HRkd+zaZpUVFTQu3fvZvezNHwkJSWRk5PDtm3b6m3ftm0bAwYMaPI4t9sdCy5RmZmZVpZWT3p6uv5ix4G+5/jQ9xw/+q7jQ99zfHTU99xci0eU5SPiLrjgAt566y3C4TAAtbW1vPfee1xwwQVWX0pEREQOQ5aHj4cffpjt27dzxRVXMHPmTC666CIcDke9bhURERE5clkePgoKCli+fDlDhgxhzpw5nHHGGSxZsoSsrCyrL9VqbrebX/ziFw26eMRa+p7jQ99z/Oi7jg99z/HRGb7nTnlvFxEREem6tAqSiIiIxJXCh4iIiMSVwoeIiIjEleU3luustm/fzrJly8jMzGTMmDE4nc5El9QlhUIhPvvsMyorK7niiisSXU6XtWfPHpYvX47L5WLEiBEdui7OkSwUCvHtt99SWFhIQUEBxx13XKJL6vI+++wz9uzZw+WXX47LpZtCWunjjz9m377698gaOHAgJ598ctxrOSIGnM6YMYOpU6cyevRotm7disvl4rPPPiMvLy/RpXUpv/vd73j66aex2Wzs3r2bysrKRJfU5QSDQe666y4++OADhg0bRmVlJStXruSZZ57hhhtuSHR5Xcr8+fO56667YosnLly4kIEDBzJr1qxOMXuvK/r444+59NJL8fl8lJSU0KNHj0SX1KWMGDECwzAYPHhwbNvYsWO5/fbb41+M2cWtWLHCtNls5uuvv26apmnW1taao0aNMidMmJDgyrqep59+2iwsLDT/+Mc/mikpKYkup0uqra01Z86cafr9/ti2J5980nS5XGZRUVECK+t6Zs+ebW7dujX22uv1mvn5+eb999+fwKq6rqKiIrNPnz7mr371KxMwS0pKEl1Sl3P88cebTzzxRKLLME3TNLv8mI9XXnmFvLw8rrzySiAyv/mee+7hvffei909V6xx9913k5+fn+gyujS3282PfvSjet2GV1xxBX6/n1WrViWwsq7n7LPPpm/fA3f8TE9PJzc3l4qKigRW1TWFw2FuvPFGpkyZwvHHH5/ocrq0rVu38u9//5vFixfXu5t8vHX5MR/fffcdw4cPr7ft2GOPJRQKsXr1akaPHp2gykSs8dlnn2Gz2Rg6dGiiS+lygsEgb7zxBrW1tcyePZuamhruv//+RJfV5fzmN7/BNE3uu+8+3n///USX06XNmjWLzZs3s2LFCgzD4OWXX2bMmDFxr6PLhw+v19vgX+PR/tqysrIEVCRinfXr1/PTn/6Un/zkJ+Tm5ia6nC4nFArx9ttvU1lZyZIlS7jooovo1q1bosvqUr788ktmzJjB8uXLLb2LuTT0m9/8hnHjxmEYBoFAgJtvvpmrrrqKdevWkZKSEtdauny3i9vtbjDwMfra4/EkoiQRS2zbto3zzjuPs88+m9/+9reJLqdLcrvdvPrqq8yaNYv169ezePFifvzjHye6rC7ltttu4/zzz2fevHm8+uqrzJs3D4B///vffPvttwmurmsZP358LOA5nU5+8YtfsHPnTpYtWxb3Wrp8y8fAgQNZuHBhvW1bt24FYMCAAYkoSaTdCgsLOeussxg5ciSvvvoqDkeX/79ywqWnp3PppZfyyiuvJLqULuX000+nrKyMt99+G4CdO3cC8OGHH5KamqrpzR0oPT0dgJKSkrhfu8v/F+vCCy/kueeeY/369QwaNAiAf/3rXwwfPrzeYDKRw8X27ds566yzOP7443nttde0Zk0HKSoqatCVtXz5cvr06ZOgirqm5557rt7rWbNmMW/ePJ5//nlNtbXQvn37SEpKqtfi/9Zbb2Gz2TjxxBPjXk+XDx8XXXQR48aN46KLLmLy5MmsXbuWl156iQ8++CDRpXU5X3zxBYWFhSxdupRgMMirr74KwLhx49RPbpGqqirOPvtsamtrufzyy3nzzTdj75166qn069cvgdV1LZMmTSIzM5NTTjkF0zSZNWsW8+fP56OPPkp0aSKtVlhYyPXXX8/ll19Ov379WL58OTNnzuTnP/85BQUFca+ny4cPwzB49913+fOf/8yiRYvIzMxk8eLFjBw5MtGldTlLliyJdXFNmDAh1ow6atQohQ+L+Hy+2L9SDp4VkJ+fr/BhoTfffJM333yTuXPnEgqFOPfcc/n73/+uBcY6WF5eHtdcc01Cb/feFR133HF89NFH/P3vf2f+/Pnk5eWxYMGChLR6wBGywqmIiIh0Hl1+touIiIh0LgofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJX/x9btLGkMHY0FwAAAABJRU5ErkJggg==",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# change me\n",
        "sigma = 1\n",
        "\n",
        "r = np.linspace(0, 5, 1000)\n",
        "\n",
        "plt.plot(r, 1/r, \"-\", label=\"1/r\")\n",
        "plt.plot(r, M(r), label=\"M(r): mollified, erf\")\n",
        "plt.plot(r, W(r), label=\"R(r): residual, erfc\")\n",
        "\n",
        "del sigma\n",
        "\n",
        "plt.legend(loc=\"best\")\n",
        "plt.ylim([0, 10])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "ff1ceca9-d1be-4e19-9d27-b1e81fdc2aae",
      "metadata": {},
      "source": [
        "Observe decay past $6 \\sigma$:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f37f8d12a50>]"
            ]
          },
          "execution_count": 26,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "r = np.linspace(6, 10, 100)\n",
        "\n",
        "plt.semilogy(r, erfc(r))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "class FourierQuadrature:\n",
        "    def __init__(self, *, period, n):\n",
        "        self.h = h = 2.0 * np.pi / period\n",
        "        self.modes = modes = np.arange(-n, n + 1)\n",
        "        self.kx, self.ky, self.kz = np.meshgrid(h * modes, h * modes, h * modes, indexing=\"ij\")\n",
        "        self.k = np.column_stack((self.kx.ravel(), self.ky.ravel(), self.kz.ravel()))\n",
        "        self.weight = (h / (2.0 * np.pi)) ** 3 \n",
        "        self.k_mag = np.linalg.norm(self.k, axis=1) \n",
        "        \n",
        "    def __call__(self, targets, k_values):\n",
        "        return np.real(np.exp(1j * targets @ self.k.T) @ (self.weight * k_values))\n",
        "    \n",
        "    def plot(self, values, z_mode=0):\n",
        "        z_idx, = np.where(self.modes == z_mode)\n",
        "        n_modes = len(self.modes)\n",
        "        \n",
        "        myslice =  values.reshape(n_modes, n_modes, n_modes)[:, :, z_idx] \n",
        "        \n",
        "        ax = plt.subplot(121)\n",
        "        plt.imshow(np.log10(1e-15 + np.abs(myslice)))\n",
        "        plt.colorbar()\n",
        "        ax = plt.subplot(122)\n",
        "        plt.imshow(np.arctan2(myslice.imag, myslice.real))\n",
        "\n",
        "fquad = FourierQuadrature(period=8, n=48)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "np.float64(inf)"
            ]
          },
          "execution_count": 28,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def M_hat(k_mag):\n",
        "    return 4*np.pi * np.exp(-(sigma * k_mag) ** 2 / 4.0) / k_mag**2\n",
        "\n",
        "sigma = 1\n",
        "m_hat_values = M_hat(fquad.k_mag) \n",
        "del sigma\n",
        "\n",
        "fquad.plot(m_hat_values)\n",
        "\n",
        "la.norm(m_hat_values, np.inf)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "63d87c56-c453-49c9-8621-6578ac5d0283",
      "metadata": {},
      "source": [
        "### Dealing with the Singularity"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f37f84d7a10>"
            ]
          },
          "execution_count": 29,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def windowed(r, *, sigma, b) -> np.ndarray:\n",
        "    \"\"\"Physical-space W, evaluated stably at r=0.\"\"\"\n",
        "    a = BOX_DIAMETER + b * sigma\n",
        "    value = (erf(r / sigma) - 0.5 * erf((a + r) / sigma)\n",
        "             + 0.5 * erf((a - r) / sigma)) / r\n",
        "\n",
        "    # Differentiate the numerator at zero.  The two large terms cancel here.\n",
        "    limit = (2.0 / (np.sqrt(np.pi) * sigma)) * (1.0 - np.exp(-(a / sigma) ** 2))\n",
        "    return _at_zero(r, limit, value)\n",
        "\n",
        "r = np.linspace(0, 10, 1000)\n",
        "plt.ylim([0, 2])\n",
        "\n",
        "sigma = 1\n",
        "mvals = 1/r * erf(r/sigma) \n",
        "wvals = windowed(r, sigma=sigma, b=6) \n",
        "plt.plot(r, 1/r, label=\"1/r\")\n",
        "plt.plot(r, mvals, label=\"M(r): mollified, erf\")\n",
        "plt.plot(r, wvals, label=\"W(r): windowed\")\n",
        "del sigma\n",
        "\n",
        "plt.legend()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def windowed_hat(k_mag, sigma, c_tilde):\n",
        "    value = (8.0 * np.pi * (np.sin(c_tilde * k_mag / 2.0) / k_mag) ** 2  \n",
        "             * np.exp(-(sigma * k_mag) ** 2 / 4.0))\n",
        "    return _at_zero(k_mag, 2.0 * np.pi * c_tilde**2, value)\n",
        "\n",
        "sigma = 0.1; b = 6\n",
        "w_hat_values = windowed_hat(fquad.k_mag, sigma=sigma, c_tilde=BOX_DIAMETER + b * sigma)\n",
        "del sigma\n",
        "del b\n",
        "\n",
        "fquad.plot(w_hat_values)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "np.float64(2.064784165867195e-08)"
            ]
          },
          "execution_count": 40,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "fp = FieldPlotter(\n",
        "    center=np.zeros(3),\n",
        "    extent=np.array([1, 1, 0]),\n",
        "    npoints=(10, 10, 1))\n",
        "targets = fp.points.T\n",
        "r = la.norm(targets, 2, axis=1)\n",
        "\n",
        "sigma = 0.2; b = 0.6\n",
        "err = fquad(targets, windowed_hat(fquad.k_mag, sigma=sigma, c_tilde=BOX_DIAMETER + b * sigma)) - windowed(r, sigma=sigma, b=b)\n",
        "del sigma\n",
        "del b\n",
        "\n",
        "la.norm(err, np.inf)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "a09601aa-ba06-4c1a-a7f1-ca4c7b524737",
      "metadata": {},
      "source": [
        "### Multiple sources"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f37fb1c4830>"
            ]
          },
          "execution_count": 41,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "sources = np.array([[0, 0, 0]], dtype=np.float64)\n",
        "\n",
        "fp = FieldPlotter(\n",
        "    center=np.zeros(3),\n",
        "    extent=np.array([1, 1, 0]),\n",
        "    npoints=(100, 100, 1))\n",
        "targets = fp.points.T\n",
        "\n",
        "def pairwise_potential(targets: np.ndarray, sources: np.ndarray,\n",
        "                       charges: np.ndarray, kernel) -> np.ndarray:\n",
        "    distances = la.norm(targets[:, None, :] - sources[None, :, :], axis=2)\n",
        "    return kernel(distances) @ charges\n",
        "\n",
        "pot = pairwise_potential(targets, sources, [1], lambda r: 1/r)\n",
        "\n",
        "fp.show_scalar_in_matplotlib(np.log10(1e-15 + np.abs(pot)))\n",
        "plt.colorbar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "7.999683463770296e-08\n"
          ]
        }
      ],
      "source": [
        "def fourier_window_potential(targets: np.ndarray, sources: np.ndarray,\n",
        "                             charges: np.ndarray, sigma: float, b: float) -> np.ndarray:\n",
        "    source_phase = np.exp(-1j * fquad.k @ sources.T) @ charges\n",
        "    return fquad(targets,\n",
        "        windowed_hat(fquad.k_mag, sigma, BOX_DIAMETER + b * sigma) \n",
        "        * source_phase)\n",
        "\n",
        "sigma = 0.18; b = 6\n",
        "sources = rng.uniform(-0.5, 0.5, size=(12, 3))\n",
        "targets = rng.uniform(-0.5, 0.5, size=(10, 3))\n",
        "charges = rng.normal(size=12)\n",
        "exact = pairwise_potential(targets, sources, charges,\n",
        "                           lambda radius: windowed(radius, sigma=sigma, b=b))\n",
        "\n",
        "spectral = fourier_window_potential(targets, sources, charges, sigma=sigma, b=b)\n",
        "quadrature_error = np.max(np.abs(spectral - exact)) / np.max(np.abs(exact))\n",
        "print(quadrature_error)\n",
        "del sigma\n",
        "del b"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5e02ff6a-49f7-4c86-86dc-70f8745bf34b",
      "metadata": {},
      "source": [
        "### Multilevel kernel splitting\n",
        "\n",
        "The single-level Ewald split can be repeated on a hierarchy of box sizes.\n",
        "Following equation (40) of Jiang--Greengard, choose\n",
        "``sigma_l = sigma_0 / 2**l``.  Then, at any leaf level ``L``,\n",
        "\n",
        "$$1/r = W_0(r) + D_0(r) + ... + D_{L-1}(r) + R_L(r)$$\n",
        "\n",
        "up to the exponentially small windowing error in ``W_0``.  The difference\n",
        "kernels are smooth and increasingly local, while the last residual is the\n",
        "only singular term."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "def mollified(r: np.ndarray, sigma: float) -> np.ndarray:\n",
        "    value = erf(r / sigma) / r\n",
        "    return _at_zero(r, 2.0 / (np.sqrt(np.pi) * sigma), value)\n",
        "\n",
        "\n",
        "def difference_kernel(r: np.ndarray, sigma_coarse: float,\n",
        "                      sigma_fine: float) -> np.ndarray:\n",
        "    return mollified(r, sigma_fine) - mollified(r, sigma_coarse)\n",
        "    # value = (erf(r / sigma_fine) - erf(r / sigma_coarse)) / r\n",
        "    # limit = 2.0 / np.sqrt(np.pi) * (1.0 / sigma_fine - 1.0 / sigma_coarse)\n",
        "    # return _at_zero(r, limit, value)\n",
        "\n",
        "\n",
        "def difference_kernel_hat(k_mag: np.ndarray, sigma_coarse: float,\n",
        "                          sigma_fine: float) -> np.ndarray:\n",
        "    value = (4.0 * np.pi\n",
        "             * (np.exp(-(sigma_fine * k_mag) ** 2 / 4.0)\n",
        "                - np.exp(-(sigma_coarse * k_mag) ** 2 / 4.0))\n",
        "             / k_mag**2)\n",
        "    limit = np.pi * (sigma_coarse**2 - sigma_fine**2)\n",
        "    return _at_zero(k_mag, limit, value)\n",
        "\n",
        "\n",
        "# The choice makes erfc(r_l / sigma_l) approximately ``tolerance`` at every\n",
        "# level, so R_l and D_l are effectively supported inside boxes of side r_l.\n",
        "tolerance = 1.0e-6\n",
        "nlevels = 2\n",
        "sigma0 = 1.0 / np.sqrt(np.log(1.0 / tolerance))\n",
        "sigmas = sigma0 / 2.0**np.arange(nlevels + 1)\n",
        "box_sizes = 2.0**-np.arange(nlevels + 1)\n",
        "window_buffer = 6.0\n",
        "\n",
        "# Do not include r=0 here: the final residual is singular there.\n",
        "r = np.geomspace(1.0e-5, 2*BOX_DIAMETER, 2000)\n",
        "k = np.linspace(0.0, 120.0, 2000)\n",
        "\n",
        "w0 = windowed(r, sigma=sigmas[0], b=window_buffer)\n",
        "m0 = mollified(r, sigmas[0])\n",
        "difference_kernels = [\n",
        "    difference_kernel(r, sigmas[level], sigmas[level + 1])\n",
        "    for level in range(nlevels)\n",
        "]\n",
        "residual = erfc(r / sigmas[-1]) / r\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x1240 with 8 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(nlevels + 2, 2, figsize=(12, 3.1 * (nlevels + 2)),\n",
        "                         constrained_layout=True)\n",
        "\n",
        "axes[0, 0].semilogy(r, 1.0 / r, label=r\"$1/r$\")\n",
        "axes[0, 1].set_ylim(1e-15, 1e3)\n",
        "axes[0, 0].set_title(\"original kernel\")\n",
        "axes[0, 1].semilogy(r, residual, label=rf\"$R_{nlevels}(r)$\")\n",
        "axes[0, 1].axvline(box_sizes[-1], color=\"k\", ls=\"--\", lw=1,\n",
        "                   label=rf\"$r_{nlevels}$\")\n",
        "axes[0, 1].set_ylim(bottom=1e-15)\n",
        "axes[0, 1].set_title(\"finest residual kernel\")\n",
        "\n",
        "axes[1, 0].semilogy(r, m0, label=r\"$M_0(r)$\")\n",
        "axes[1, 0].semilogy(r, w0, \"--\", label=r\"$W_0(r)$ (windowed)\")\n",
        "axes[1, 0].set_title(\"coarsest smooth kernel\")\n",
        "axes[1, 1].semilogy(k, windowed_hat(\n",
        "    k, sigma=sigmas[0], c_tilde=BOX_DIAMETER + window_buffer * sigmas[0]))\n",
        "axes[1, 1].set_ylim(bottom=1e-15)\n",
        "axes[1, 1].set_title(r\"$\\widehat{W}_0(k)$\")\n",
        "\n",
        "for level, (sigma_coarse, sigma_fine, box_size, kernel) in enumerate(\n",
        "        zip(sigmas[:-1], sigmas[1:], box_sizes[:-1], difference_kernels)):\n",
        "    row = level + 2\n",
        "    axes[row, 0].semilogy(r, kernel, label=rf\"$D_{level}(r)$\")\n",
        "    axes[row, 0].axvline(box_size, color=\"k\", ls=\"--\", lw=1,\n",
        "                         label=rf\"$r_{level}$\")\n",
        "    axes[row, 0].set_title(rf\"difference kernel $D_{level}$\")\n",
        "    axes[row, 1].semilogy(k, difference_kernel_hat(k, sigma_coarse, sigma_fine))\n",
        "    axes[row, 1].set_ylim(bottom=1e-15)\n",
        "    axes[row, 1].set_title(rf\"$\\widehat{{D}}_{level}(k)$\")\n",
        "\n",
        "for ax in axes.flat:\n",
        "    ax.set_xlabel(r\"$r$\" if ax in axes[:, 0] else r\"$|k|$\")\n",
        "    ax.grid()\n",
        "    if ax.lines and ax.get_legend_handles_labels()[0]:\n",
        "        ax.legend(loc=\"best\")\n"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "efd2054a-8dbf-414d-98da-dee2c21ddec4",
      "metadata": {},
      "source": [
        "Each correction is a rescaled copy of the preceding one: \n",
        "$$D_l(r) =2^l D_0(2^l r).$$\n",
        "The same scaling shifts its Fourier content to higher k."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "max error in D_1(r) = 2 D_0(2r): 0.000e+00\n"
          ]
        }
      ],
      "source": [
        "scale_check = np.max(np.abs(\n",
        "    difference_kernels[1] - 2.0 * difference_kernel(2.0 * r, sigmas[0], sigmas[1])))\n",
        "print(f\"max error in D_1(r) = 2 D_0(2r): {scale_check:.3e}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "components = [w0, *difference_kernels, residual]\n",
        "partial_sums = np.cumsum(components, axis=0)\n",
        "reconstruction = partial_sums[-1]\n",
        "relative_error = np.abs(r * reconstruction - 1.0)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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QgLCwMBRFYdiwYfTt25fChQszfPhwypQpQ//+/dXBe2kpW7asWm7j/fffp0ePHhw/fpxatWqpr8/KlSszaNAgAHr06KGu37BhQ8Cw5ryVlRW2trb873//MypVeeXKFZYtW2YwiGb69Om0aNGC+Ph4hg4dSr169Rg/fjwDBw58bvmO+/fvU7duXebNm0fTpk0ZOnQoAQEB1K5d26C02L179/Dy8mL16tUsWLCAtm3b4urqSkJCAleuXMHLy4vZs2eze/duunXrpp4UPXPmDNWrV+fPP/+ke/fudOzYkQ0bNlCzZk2uXr2qtn/z5k28vLxYuHAhGzdupHPnzuoJ78jISLy8vPDz80u3L+nZv3+/euwXLVpEhw4dsLa2xszMjEuXLtGoUSOjbQoXLgxgkICfO3cuNWrU4NVXXwUwmOdr4cKFKIrCpEmTMh1ndrO2tmbbtm00b94cSKqj/8UXX6S5/pkzZwDSHMRYo0YNAINjcffuXe7du5dNEacdU8rkvD6fkNqJhPQ0adKEAwcOZE9wIu9SxEvv+vXrCqD89NNPRvcdP35cMTMzU2bMmGGw/OTJk4qZmZmybt06RVEUxcfHRwGUMmXKKOHh4ep6MTExypw5cxRAeeeddwzaaNq0qVK9enXlzTffNFjevHlzpW7duuptnU6nODk5KZ988olRfAEBAen27ccff1QA5d69e+oyfTxvvfWWwbrjxo1TbG1tlSdPnqTb5oIFCxQg1cfOSNvTpk1TzM3NlRMnThisO2PGDEWj0SgPHz7MVAymtpvavjFlW1OPx5QpUxQzMzPlyJEjBuvExcUpoaGhiqIoyrvvvqtYWFgoPj4+6v1arVZp0qSJ4urqqkRHRyuK8t9+HT58uEFbGzduVABl48aN6rKsHvO3335b0Wg0yu3bt9VlMTExSs2aNRXAqD8pjR49WrG2tlZu3bqlLnv69KlStWpVo+1NPVY5sS8z+3pM3oYpx8OUuEx9TqV2bNN7LaS2fkb3U2bfJ4R4GRw6dEgBFG9vb4Pl0dHRBp/lZcqUUQYNGmS0/ahRo5SiRYuqt3U6nVKrVi2j7wKKoiiBgYEmr6MoilKvXj2lXLlySlRUlLosMTFRadSokfLKK6+YHL+pfezWrZtSu3Zt9XZMTIxSqFAhZciQIQbb/fvvv0bfmUyJNS3t2rVT6tevn+p9prabMnZTtzVl35hyvBISEpSyZcsq1apVU2JjY9X7/f39FRsbG2Xw4MHqsmbNmik2Njbq90e9IUOGKLa2tkpQUFC6/WrWrJlia2urbNq0yaBf5cuXVzp06KAuS0hIUEqXLq00adJESUhIUJefPXtWsbW1VZydnZXnyUisqbl06ZICKL/++qtRm2vWrFGXxcTEKIqS/nMhtX1h6mOasm12vxcoyn99TR5LYGCgYmlpqTRo0MDgGD569EixsrJSpk2bluGYhBBpO3XqlAIolSpVUt9rFCXpN4T+e/Kff/5psM2mTZsUQP19EhMTowDKrFmz0n2sxMREpWbNmgbv+cePH1cAZdu2bUbrDx06VClTpox6e9++fQqg/PzzzwbrTZ48WbGyslIePXqkKIqi7N27VwGUhQsXGqynz09s2LAh3Tg7deqkuLq6KiEhIQbLBw0apHh4eCharVZRFEX56aefFEDp1auXuk5CQoKSmJioTJo0STEzM1M+/PBD9b64uDhFURSlZs2aiqenp/qbQlEU5cmTJ0qxYsWUli1bqstmzZqlAMrbb79t1EZkZKSya9cuxc/PL92+KIqi3Lt3L9Xj2K9fPwVQPv/8c3VZTEyMcuzYMQVQ1q5da9TW9u3bFUDZuXOnoiiKcvXqVcXc3Fz9HLS3t1f3e1hYmOLo6KgMHDjQqJ2rV68qly9ffm7sw4cPVzp16qT+a9iwoQIoLVq0MFg+adKk57aVUlhYmFK2bFkFUADll19+SXW9Fi1aKC4uLmm2c//+fQVQXn31VXXZwIEDlR9++CHV9ZPH3alTJ6VGjRoKoHTs2NFg+dy5c9N8zBYtWijW1tbqc1FRkj7fS5YsqdStW1d9nuidOHHC4PteSmPHjlUAg/eA5DZu3GgUd1r/kv+uTov+dT9v3rxU7//zzz+NfqOLrJOR8/mc/nLulGdDGzZsSK1atfjtt98Mlvfv3x8nJyf1to2Njfr3G2+8YbBuy5Yt8fX15fXXXzdY3qpVK3x8fNQJPMzMzNBoNBw5csRoAhJ3d/dM923kyJEGt9u3b09MTAzXrl3LdJsZaXvlypW0atXK6NLoN998k7i4OP76669MPXZW2jVlW1OPx6pVq2jTpo161lrP2tpaPSu/ZcsW2rdvr56RBrC0tOT999/n0aNHRhOjvfnmmwa3Bw0ahKurK1u2bEmzT8mZclx+++03unfvblBTzsbGRh0t8Dy//vor3bt3p2zZsuoyOzs7hg4darSuqccqJ/ZlZl+PKeNMLrXjYUpcOfUaT01G91NOvk8Ikdv0n9E7duwgLi5OXW5ra2vwWW6qM2fOcPHiRcaPH2+0vZubm8nrnDt3jrNnzzJ27FiDsinm5ua88cYbHDt2jICAAJPiz2wfbWxsGDJkCFu3bjUYJbZy5Urs7e3V0YCmxppRWWk3O/efKcfr5MmT+Pv7M2bMGLW8GICnpyd9+/Zl27ZtRu0PGTLEoK3333+fmJgYo9HXqUm+//X9atu2LefPn1eX/fvvv9y9e5d33nkHCwsLdXnyK65MkZFY9+3bx+TJkxkyZAj9+/dnxowZmJubc/HiRYP1NBqNwXeC5N+VM8rUx3ye7H4v0HN0dDS4AsDNzY3KlStz69Ytg2Po4uJCtWrVDK4yzKmYhCiIBg8ebPBeY21tzZo1a6hQoQLdu3c3WHfgwIHY2Niwffv2dNu8ePEiU6ZMoV+/fnTp0oWuXbsSHByMj49PpmJs27YtZcuWZeXKleqyhIQE1q9fT8+ePXFxcQGSSrxaW1szZswYg+0bNmxIlSpV0o07MDAQLy8vhg8fblDyEmD48OHcu3dPHbWsp59kFJLKpujL5iiKYvB7ytramqtXr+Lj48PIkSMNSroVKlSI1157jcOHD/Po0SOD9pP/9tKPvndwcKBz585UrVo1zb48z+nTpylZsqRaWgiS3lf1V4Hrf0Mml7ysDcA333xDqVKl1N/BTk5O6n3Lli0jMjLSoAxRVFQUrVu3pnnz5rRu3ZpXXnmFiIiINGM8dOgQXl5e6r9Tp04BcOTIEYPlqV2x9Ty7d+/m9u3bADRo0IAuXboYraPT6Th37ly6I9EfPHgAYJAbuHjxYppzJiSP28vLi0uXLgGwZ88eg+UXLlxIdXt9TObm5nTv3p3OnTtTv359GjZsqD6Hkpeue/DgAU2aNDG4Ujwl/XM9rQoA+qs4TPmXcrJgkXdIzfl87urVq2g0Gt566y0g6UNI/y8oKMioDmv58uXTbCt5shJQa66ltjwhIYGQkBC1PMWPP/7IqFGjKFmyJA0aNKBVq1b069fPKKmZESknitR/4KdMDuZE21FRUTx8+BBbW1uDMiCKoqiXIt+9ezfDj5uVdjOy7fOOR2RkJEFBQUaTzCQXGRlJSEiIQW0/PX3N0ZQzfKd8fpmbm1OuXDmTZwJ/3nGJiIggNDQ01UlE03tu60VERBASEpLquslrw4Pp+zun9mVWXo96zzseGYkrJ17jKWVmP+Xk+4QQua1Ro0a8//77zJs3jyVLltC8eXPatm3Lq6++qtYazYjr168DpPtj0pR19Jd9b9++nZMnT6rfO+C/H0l3796lcePGz40/K3188803WbJkCRs3buTdd98lOjqazZs3M3DgQHWiNFNjLV68eLqPldl9kFq72bn/TDle+h+/ab23xsXF8fDhQ/XzxdPT0yBhDv99RpryeV62bFmj758uLi4EBwej0+kwNzdXY0rr89zX1/e5j5ORWN988002bNjAW2+9Rfv27XF0dMTMzIzt27cbJSbKlCmDpWXWf0Jl5DGfJ7vfC/Q8PT2NjlXRokXV0goplycva5NTMQlREKX2Xnjjxg01AQiGv/MhqfxLWjZt2sSwYcPo168fPXv2pFixYlhYWPDll19mutyHmZkZI0eOZPr06fj7+1O2bFn++usvgoKCGDVqlEHclpaW9O3b1yjuoKAgnJ2d03yMGzduAEkJ1MuXLxv8/tInne/fv2/w+yO1faeX8nfTnTt3gNR/N+o/O+7cuWPwmyq99jPr8ePH3Llzx+ikOfx34jNl+SAwLGvz6NEj1q1bx1dffaV+Zjk7OxMWFoZWq2XRokW0adPGoMTd3LlziY2N5f79++qJ81mzZqU5OejatWuJiYlRb1+8eJGPP/6YVatWGXy/Se1EQnr279/P8OHDURSFihUrsnPnzlRrol+9epWoqKh05+U7cuQIAB06dACSSq7duHGDmjVrprr+rl27DG7v3buXb7/9lr///ttgPoS05k7RxzR06FCGDRtGQkICZ8+excfHh5MnTxr14/z585QoUUL9jZoa/bFOfsIouSFDhhgcx/SknDNO5B2SnM/nrKyssLOzSzUxOGjQIKMPv+SzeqeUcnIq/ZfytJYnr5epPyN/4MABvL29+fvvv5k3bx6fffYZs2bNylinnhNPRut0ZqZt/Qdc+fLlU923gwcPfu6ko6nJSrsZ2fZ5x0P/o+vp06dpxqrfR8k/kPX026X8MpHaGeHo6Gij9Z73mHopj0t6MaV3Njpl+2nFmZyp+zun9mVWXo9p9Um/TP9YGYkrJ17jKWXnfsqO9wkh8oLvvvuOTz75hL179+Lt7c38+fOZMWMGO3fupHXr1kDS6yI+Pt5o2+QjyvXrAem+X5myjpWVFQDNmzenXr16RvdPnDhR/ZFrSvymrJOaunXrUq9ePVauXMm7777Lb7/9RkREhMFVQxmJNSOy0m527j9TjldG31vT+4w05fM8tclOk783m5ubZ/nzPCOxXrlyhZUrVzJv3jwmT56srvf48eNUrzpL77uyqTL6mKbIzvcCvbSOVVrLU362Zva1K4QwlPwqKj1ra2tKlCjBe++9Z3SffuLmtEyfPp2WLVvyyy+/GCxPr7a3Kd544w0+//xzVq9ezRdffMHKlSspVaoUnTp1Mojb2dk51biBdJPz+vee1q1bpznpbcpEbWr7DpJG0ae88kl/O7XPzMjISMA4QZpW+1mhn1C0Xbt2Rvfpj2tqo6j1I+cjIiJYtGgRdnZ2Bt95nJ2dCQ8PZ9OmTTx48IAVK1YYbL9t2zYmTpyo7ud3332XTz/9NM3kfKtWrQxu6/dfixYtMvXdCeDs2bP06dOH+Ph4ihcvzp49e9JMXKc3GSwkXbmxfPlyqlatqn7m+Pr6Urx4cXVfpdS5c2eD2/oBXR07djTpxLw+pt69e6ttde/endjYWObMmcM///xD27Zt1fXPnz+f7skFSDrW1tbWRleL6JUrVy5HThKJF0uS8/mA/k0itWRTkyZN2L9/P6+88kqaZ/deFDs7O7p160a3bt2YM2cOnTt35rvvvsu2xJ2p0ttfprKxsaFOnTo8fvw43RHRGY0hK+1mdNv0jodGo6FOnTocO3aMxMREo1FnkPQDr2rVquqEpsn9+++/AEaXnp8+fdrggzosLIwbN24wbNiwDPU1LTY2NlSuXNnockZI+qA3ZfsqVaqoH6rJ6S/TS76uqfs7J/Zldnje8choXJl5jWfk9Zhb+0mIvK548eIMHz6c4cOH8/XXX1O6dGmWLVum/hDx8PAwGgmnv+w2uUaNGmFubs6RI0cMSllkZh0zMzOsrKxM+jx6XvymrpOaUaNGMXbsWC5cuMDKlSupUqUKr7zySqZjTcnS0jLV96+stJud+8+U46X/Ufjvv/+qE5fr/fvvv7i5uRl8h7x9+zYhISHqFVvw32dkdr0H62M6c+aMQVJHURSD8jfPY0qs+qsRUo6iS20y4fSk9VxITXY9ZkrZ9V6QnTL72hVCpK9Zs2YcOnSI1q1bZ7i8VlBQEO3btzdYFhwczIULFwwSofqTxaaeNCxZsiSdOnVizZo1vPPOO+zevZtPPvnEYMRxs2bNOHr0KLVr187wVWm1atXC0dGRsLAwoyRqdqhVqxZWVlYcO3ZMrTygd+zYMRwcHNSrdXOS/rdo06ZNje6rWrUqjo6OqZY/0yecHz58yLp164zK4+lHzn/zzTfUrFnTaB/evHnT4LdhhQoV8Pf3V0+c57SbN2/SpUsXIiMjcXZ2Zvfu3Xh6eqa5vn4/pZXc/vDDD9WSL/r4fXx80ixpkx30MaUcyf72228zZ84c1qxZk+Hk/Llz59TvhiL/kprz+UCJEiWwsLBQL8NK7r333sPFxYURI0YYnV09ceIEe/fuzfH4wsPDWbZsmcGlV4mJicTExBj8WHpR9JfypLa/MmLmzJmcO3eOmTNnGnxhSUhI4Oeff063rE16MWSlXVO2NfV4TJ8+nWvXrjF16lSDto4fP67Odj5hwgR8fHxYvHixev/Vq1f55ptvaNGiBQ0bNjSIb9OmTWqdPp1Ox8cff0x8fDzvvvtumn3KqHHjxnH8+HE2b96sLjt37hyHDx82eft///2XDRs2qMtOnTqFt7e30bqmHquc2JfZwZTjYUpcWXmNZ/T1mBv7SYi86tixY+zbt89gWUxMDImJiRQrVkxd1qVLF86cOWNwkvHrr782GgFUqlQp3njjDZYuXcru3bvV5TqdjtWrV5u8joeHB2+99Rbz58/nwIEDBo8REhLCkiVLTI7f1D6mZejQodja2jJ16lSOHDlicGl9RmJNi4eHB/fv3zdKXGSl3ezcf6Ycr/Lly9OjRw+WLl1qUEP1559/5vDhw0ycONHgMVxcXJg2bZqaiH78+DGff/45lSpVyrZkSYUKFejcuTOLFi1SyxgALFy4MEPtmBJr9erVsbKy4o8//lC3u3v3Lj/99JOamDJFWs+F1GTXY+pl93tBdsjqa1cIkb5p06YRFRXFW2+9pY7qhqTv4Js3b051sJJew4YN2b17N0+ePAGSymaMHTvWqORF6dKlAbh165bJcY0aNYp79+4xYsQIEhMTjebJGj9+PC4uLgwbNsyozKS+LnZabGxsmD59Ohs2bGD16tVqWRuA0NBQZs+ebXKcqSlUqBCjRo3i559/Nnj/+u233/jzzz+ZMGFCqlcOpXTnzh06d+783O8QaTl9+jSlS5dOdXClhYUFbdq04ejRo0b3OTk5YWFhwerVq4mJiWHcuHEG9zs7O7N//34uXrxoUGteLz4+3uDKADs7OxRFQavVZqofGREUFETHjh159OgRNjY27Nix47lJ9DNnzqDRaIwqC1y5coX+/fuzdOlS1qxZY3AFwsWLF9MsaZMdzpw5Q7FixYxOKnh6elK3bl3+/PNPgyvYnpecj4iI4NKlS3Ts2DGHIhZ5hYyczwesra0ZN24c8+fP59SpUzg5OdGzZ0+GDx+Om5sbBw8eZOTIkZQrV446depgY2PD9evXKVmyJN9++22Ox6fRaDh//jyff/45ZcuWpWjRoly8eBGNRmOQAH1ROnfuTPXq1enduzdNmjTBysqKmTNnUr169Qy107NnTzZt2sQHH3zATz/9RPXq1Xn69Ck3b96kffv2aV5q97wYstKuKduaejx69+7N6tWrmTx5Mhs3bqR69ercv3+fwoULs3HjRiDpDPDDhw+ZNGkSy5cvp2jRovz77780adJEXSe5jz76iHbt2uHu7o6/vz+BgYGsXr063UlcMurdd9/l+vXrDBs2jG+++QY7Ozs0Gg2TJ0/mtddeS3XkenJjxozh+vXrjBgxgoULF2JnZ4eVlRUff/yx0Qh/U49VTuzL7GDK8TAlrqy8xjP6esyN/SREXlW4cGFmzpzJG2+8QZUqVTAzM+PEiRO0atWKzz//XF1vzJgxbN++XZ3cKygoiGHDhtGiRQujidcWL16MtbU1PXv2pEqVKpQoUQI/Pz+6dOmi/sA2ZZ0ffvgBJycnunbtSoUKFShdujQPHz4kJCREPQFoSvym9jEtzs7O9OvXjw0bNmBlZcXw4cON1jEl1rSMGTOGjRs3Urt2bSpXroydnR3r16/PcrvZtf9MPV5r167ltddeo3HjxjRu3JinT59y8eJFJk+ebPQDvkyZMjRo0IBq1apRunRpzpw5Q5EiRdixY0emEstpWbt2Lb169aJOnTo0btyY0NBQunTpQrt27fjtt99MasOUWN3d3fnuu++YOHEiR48epVixYty/f5+ff/7ZaCL39KT3XEgpux5TLyfeC7Iqq69dIUT6atWqxf79+xkzZgwlS5akWrVqJCYm4u/vT6dOnfj666/T3PaHH36gV69elC9fnurVq3P79m2mT5+Oubm5weSdLi4uvPPOO3z66afs2LEDe3t7Ro4cycCBA9Nsu0ePHri6urJ//37atWtnVG7D3d2dw4cP884771CuXDmqVq2KRqPh+vXrNGrUKN24ASZPnoxGo+Gjjz5i2rRplC9fnkePHhEZGWl0Aj4zFixYQEJCAl27dqVq1aokJiZy/fp1Jk6cyIwZM0xqIzIyEi8vr0yXdjl9+nS6nwVvvvkmPXv2xNfX1+g3k7OzM6GhoYwdO9aoHIx+QlgPDw8GDx5s1G7hwoUJDQ1Vb4eEhKi/pXNSZGQkXbp04datW1hYWLBp0yZatmyZ7jaJiYmcP3/eYN6FmJgY7t27R0REBL169eLcuXNGifuLFy8ycuTIHOmHPqa0jl3fvn2ZNm0a+/bto2vXrkRFRXHz5s10k/O//fab0eTFOaVPnz7ExMSo8zesWLFCPUm1ZMkSKZ2Tw8yU5KcbxUvt8uXLXL9+nfj4eCpXrmx0RvDmzZtcuXIFGxsbKlWqZHBmPCIigj179tCoUSP1DLmeftbyXr16GfzounbtGhcvXqRnz54GZ5Bv3LjB+fPn6dGjh8EbeVRUFD4+Pjx58oRSpUpRs2bN516ac+vWLc6ePUu3bt3Us7hpxRMaGso///xjUgmfhIQETp48SVBQEImJibRq1QoXF5dMtZ2QkMCFCxd48OABLi4uVK1aNc0aZqbEYGq7qe2bjMRk6vGIi4vj9OnTPHnyhIoVK1K5cmWjdZ48ecLp06eJjY2lUqVKRut89dVXTJkyhSdPnmBjY8OxY8eIj4+nSZMmRnFl1zG/c+cOPj4+uLm50bBhQ5YvX84777zD5cuXTZoPQL+9q6srDRs2JCgoCG9vb9q0aWM0GtzU50B27MvseD1m5HiYGhc8/zmV1nM2rddCes/xzO6njLxPCPGyCAgIwNfXFzMzMypWrGj0OQ5J5UBOnTrFo0ePqF27Nh4eHpw5c4aHDx/So0cPo/UfP37M2bNnMTMzo2bNmri7u2dqncjISM6ePUtkZCSlS5dW5+LIaPzPW+fo0aPExMQYXaYPSe/np06dolChQqnen5FYU6N/P4qIiMDCwsKoNMzz2k0v9uzaf2Da8bp16xZ+fn5YWVlRv359oxHO+h+c3t7eBAYGcvbsWZycnGjSpInR6OvU+nXw4EEAo5Imvr6+XL58mX79+hl8biiKwtmzZwkICKB69eqULVuWnj174ufnZzCiPjUZiRWS6srqTyw3adIEjUbDtm3bKFeunHrSOq349dJ6LqR1jE15zPSeHyll53tBWn09dOgQOp2ONm3aGCw/cuQIWq3W4HJ9U2MSQqQuIiKCY8eOUbduXdzc3NJcz9/fn9u3b1OoUCEqVqxoMOmkTqdjz549VKpUySC5ptVq8fX1JSoqipo1a+Ls7MyFCxcICwszqiV+69Yt/P390Wq1VK5cmbJly3Lx4kWePHlitC4kXbUcFBRExYoVU51cVS8gIIBr165ha2tLxYoVMzRxaEJCAr6+voSGhlKyZEnKlStn8N5+//59Ll26RMuWLbGzszPY9urVq9y5cyfd0cghISHqe1etWrWMauHfunWLa9eu0aFDB6PBX1FRUXh7e1OmTJl0J2TXx+nh4cGff/5J9+7dURSFPXv2UK5cuVQnaoekY1qtWjU6d+5sdEXZoUOHiImJoUGDBkaf4ZcvX+bOnTuUKlWKGjVqGLXbpUsXGjRooJYk/fLLL9mzZw+HDh1Ktw96oaGhnDx5MtV9npb4+Hi6dOmilnVbvny5UUmh1MTFxRlcXWhubo6joyNubm7pJpHd3d3Zv3+/yQMzHzx4gI+PD506dXpu7kofU+nSpalWrZrR/Y8fP1bLylaoUIGjR4/SuXNnIiIi0my7WbNmeHh4GFQFyCn79u0jISEhzTj0c+789ddf9OjRg3v37skE79lIkvNCiByXPBlsyomLnPDmm2+yZcsWnjx5kiOXb79M8sLxEEII8fJJnvDODVqtlnLlytGkSRN+/fXXdNfN7ViFEEKI50mZnDfVn3/+yaBBg7h582aGa/enZffu3QwYMIBFixZhaWnJe++9x7p16+jVq1e2tJ+STqfj1VdfVScmnjVrFp999lmOPBYkzatQqlQpnj59mifyAYsXL2bx4sWsWrVKXWZhYaGWad2zZw89e/bk8uXLlC1bNrfCNCLJ+ZyR+89IIYTIZlu2bGHgwIHqGeh//vmH9evXM2bMmDzxQSyEEEKI9F2/fp2IiAjq168PJI34njFjBvfv3+ftt9/O5eiEEEKI3NOjRw/+/PNPkyfrNUXnzp1Zu3YtP/30EzqdjmXLluVYYh6S5h/QJ+arVauGp6enyWWP27dvn+oVgOl58OAB/fr1yzP5gJiYGJycnJgwYYK6zMPDQx18ULJkSby9vfNUYl7knLzxrBRCiGy0f/9+PvzwQ6pVq0ZQUBAXL15kwIAB/O9//8vt0IQQQghhAnt7e4YNG8bTp0/x8PDg8uXLBAcHs2DBAjp06JDb4QkhhBC5KvlEp9mlb9++9O3bN9vbTen69ev88MMP6m0/Pz9ee+01k7ffu3dvhpPzderUyVNzlE2ePJnJkyeneX9G50QULzdJzgshclyfPn2oUKEC9vb2L+Txli9fTlBQEL6+vsTGxlKzZk2DORYKuhd9PIQQQuQPs2fPfmGPVaJECf7991+uXbvGjRs3sLW1pX79+jg5OZm0/YuMVQghhMgMFxcXdu3apV4lVlCYm5tTsmTJTG9vY2OTjdGIjGjcuDG7du0ymnBYZI3UnBdCCCGEEEIIIYQQQgghXjDz3A5ACCGEEEIIIYQQQgghhChoJDkvhBBCCCGEEEIIIYQQQrxgBabmvE6n4+HDhzg6OmJmZpbb4QghhBA5QlEUIiMjKVGiBObmL/85ePn8FkIIURDkt8/v9MhnuxBCiILA1M/2ApOcf/jwoUwIKYQQosC4d+8epUqVyu0wMm3x4sUsXryY+Ph4bt68mdvhCCGEEC/Ey/75bQr5bS6EEKIged5ne4GZEDY8PJxChQpx7949nJycstSWkpjItUaNASizexc2+XiWYq1Wy549e+jYsSNWVla5HU6OKSj9hILTV+ln/lJQ+glZ72tERAQeHh6EhYXh7OycAxG+WNn5+Q3yXMqPpJ/5S0HpJxScvko/TZPfPr/TI5/tmSP9zH8KSl+ln/lLQeknvLjP9gIzcl5/uZyTk1O2fAFwsLICnQ5HW1tss6G9vEqr1WJnZ4eTk1O+ftEVlH5Cwemr9DN/KSj9hOzra365TDy7P7/luZT/SD/zl4LSTyg4fZV+Zkx++fxOj3y2Z470M/8pKH2VfuYvBaWf8OI+2/N3MbscZGaZdF5DSUjI5UiEEEIIIYQQQgghhBBCvGwkOZ9Z+jMmkpwXQgghhBBCCCGEEEIIkUEFpqxNdjOztEQBFK02t0MRQgghhBBCCCFeGK1Wy86dO4mOjqZz584ULlw4t0MSQgghXkqSnM8ktayNVkbOCyGEEEKIF0tRFBISEkhMTMztULKVVqvF0tKS2NjYfNe3lApKX6WfSSwsLLC0tMw3NeV79epFZGQkbm5uzJgxg7Nnz+Lg4JBt7WfkPU6eY/lLQeknpN5XKysrLCwscjkyIcSLJMn5TDJ7VtZGas4LIYQQ6YuPjyc+Pl69bWtrKz86hMiC+Ph4AgICiI6Ozu1Qsp2iKLi7u3Pv3r18k8RMS0Hpq/TzP3Z2dhQvXhxra+sXHF32OnPmDP7+/vj6+mJubs6wYcPYuHEjb7/9dra0n9H3OHmO5S8FpZ+Qel/NzMwoVapUtp7sEkLkbZKczyx15LyUtRFCCCHS89FHH7F06VIsn312bt68me7du+dyVEK8nHQ6Hbdv38bCwoISJUpgbW2dr5IXOp2OqKgoHBwcMDfP39NjFZS+Sj+TEnDx8fEEBwfj7+9PxYoVc3VfBAcHs3r1ao4cOcKIESPo37+/0TpXr15lyZIl3L9/n6pVqzJhwgSKFSsGgJ+fH40bN1b70KxZM/z8/LIlNp1Oh7+/f4be4+Q5lr8UlH6CcV8VRSE4OJj79+9TsWJFGcwiRAEhyflM0pe1IUGS80IIIcTzrFmzhgEDBsiPDCGySKvVotPp8PDwwM7OLrfDyXY6nY74+HhsbGwKRFKmIPRV+pnE1tYWKysr7ty5o66XG7y8vBg1ahSDBw/m+PHjNGvWzGgdX19fmjZtSp8+fejduzerV69m06ZNnD17FmdnZxITEw0+zy0sLLKt/Eh8fHyG3+PkOZa/FJR+Qup9dXFx4fbt22i1WvneLEQBkb/f6XKQWtZGas4LIYTI53Q6HQcOHGDXrl1prvPkyRP27NnD0aNHSUhR8k2j0TB27Fjs7e3p0KEDAQEBOR2yEPmWoigA+T5hIUR+lBdet/Xr1+fmzZvMnz8/zRME06dPp27duqxdu5bXXnuNv/76i4iICL7//nsAypcvz4ULF9T1z507R4UKFbI1zrywr4TIDfnpajghhGlk5HwmqRPCysh5IYQQ+dg333zD4sWL0Wq1xMTE8PjxY6N1Nm/ezFtvvUW1atUIDg7GwsICLy8vypUrB8DXX3/N119/TUxMDJMnT+bjjz9m3bp1L7orQgghRIGnL02TFkVR2LNnD7Nnz1aX2dnZ0bVrV3bv3s1nn31G8+bNSUxMZMiQIZQoUYJt27Zx6dKlNNuMi4sjLi5OvR0REQEkXQmkTVEmVqvVoigKOp0OnU5nUp/0Jy312+VX0s/8J7W+6nQ6FEXJVyPn9a/zlK/3/Eb6mf9kta+mbifJ+cyy0pe1kZHzQggh8i+dTsc///zD9u3bDX6o6z18+JCRI0fy1Vdf8f7775OQkECnTp0YNWoUBw4cMFjX1taWN998k7feeutFhW8kLi4OrVZLfHw8Vs+ughNCvBhPnjxh7dq1/PPPP/Tr148RI0akut7mzZuJjo7mgw8+eMERCiGCg4OJioqiVKlSBss9PDzYt28fkDSy98CBA6xZs4bo6GiOHTuWbtJ/zpw5zJw502j5nj17jErXWFpa4u7uTlRUlMFk8qaIjIzM0Povq5ehn+PHj6d69epZmiQ4tX6+9dZbNGvWjNdffz0L0eU9yfsaHx9PTEwMhw8fNroa9WW3d+/e3A7hhZB+5j+Z7aupE5tLcj6TzKw1AOiSjQAQQggh8psPP/ww3ft/++03LC0teeedd4CkH9UTJ06kR48e3L17l9KlSxMdHY1OpyM0NJS5c+fSoEGDNNvLyOi6zHivYiXqmZsz7rPPWObjk+X28rKCMqqloPUzISEhw6NK84Jjx44xaNAg+vbty/nz56latWqq8SuKwsqVKxkzZsxL1b/MKCijQ6Wf/0lvRGxeeQ/TJ8RTJs3t7OwMkuWFChViwoQJJrU5ZcoUg5NtEREReHh40LFjR5ycnAzWjY2N5d69ezg4OJhcl19RFCIjI3F0dMzXJUFyup+vvvoq7du3Z9SoUVlu68GDB5QqVcro+JryWOn18969e0RGRqbZ7ssmtb7GxsZia2tLy5Ytc21uiuym1WrZu3cvHTp0yNeDY6SfLx+dTuFOaDRXAiO5HBjJ5YBIetcpQbea7kDW+6r/Lfs8kpzPJPNnX1aUmJhcjkQIIYTIPRcuXKBKlSpoNBp1WZ06dQDw8fGhdOnSNGzYkDt37lCoUCHat2/PnDlz0mwvI6PrMqO8hTkdHBx5GB/Hzp07s9zey6CgjGopKP08duxYpkeV5qaSJUty+vRpbG1t2bdvH3Fxcan+YHn8+DHnz5+nRYsWREREsH//fv7880/eeOMN1q5dS0BAAEuXLsXZ2TkXepEzXoZRsNlB+pn+iFhTR9flNP1rKzQ01GB5SEgIhQoVylSbGo3G4HuCnpWVlVGyIzExETMzM8zNzU2uO68/GaLfLr/K6X7evHmTunXrZlvb6cWZ3mM9r5/56Tin1ldzc3PMzMxSfX287PJjn1Ij/cy7giJiOX37CafvhHLhXhhXAiOJjjec0Lx0UXt61/MwWJbZvpq6jSTnM0mfnNflkS9RQgghRG4IDw+ncOHCBsuKFi0KQFhYGAC+vr4mt5eR0XWZcenZDx9ra2u6du2a5fbysvw0qiU9Ba2fr7zyCgEBARkaVZoXJH/9WlhYoNFoUn1Nb926lTp16lCuXDnMzMw4evQo27Zt4+LFi4wZM4aSJUvi4eFhtN3LSEb75i+m9DO9EbGmjq7LaY6OjpQrV44LFy4wdOhQdfn58+epXbt2LkaWt33//fecPXuWdu3asWrVKiIiIjh9+jQAv/76K2vWrOHRo0dUqlSJjz/+mFq1aqnbJiQk8NVXX/Hnn39SrFgx+vfvz7Fjx6hVqxbjxo0DoHXr1nzwwQe0bNlS3e6NN96gXr166jqmPNapU6f45ptvuHXrFp6enrz//vs0b96c0aNH4+vry/3799mwYQMAx48fx9HRMVPxpyetx3JwcOCHH37g999/Jzw8nCZNmjBt2jRKlCiRbnvPi69Pnz506dKFW7duceDAAVq2bMm8efMYP348+/fvx8zMDFdXV1q1asWHH36Ira2twbZdu3bl3r17HD58GCsrK9566y0GDhxoEMPvv//OmjVrCAoKomHDhsycOdOg1NPzYhRC5IzA8FgOXwvm2M3HnL7zhPtPjAdYayzNqeLuSLUSTlQt7kSDMkVeeJySnM8kc7ukN2xJzgshhCjIrK2tjUb7RUVFAaQ6Su55MjK6LksUJV8ncpN7GUe1ZEZB6aelpWWGR5XmRWmNfPz777/p1KmTev+FCxdwd3fnyJEj2Nvb50KkOUdG++YvpvQzvRGxeen9a/jw4SxbtowJEyZQokQJ/v33Xw4dOsTWrVtzO7Q8KygoiJ9//pmHDx8ybdo03NzcAJg3bx5Llizhyy+/pEKFChw4cIAmTZpw+vRpqlWrBsAnn3zCpk2b+O677yhSpAjTp0/n5MmTfPTRR2r7V65cUQc96Pn7+1OyZEn19vMe6/Hjx7Rr144JEyYwadIk7t27x7Rp09i0aRNTpkzB29ubDh06qKVm7O3tsxR/kyZNUt1XaT3WZ599xk8//cSCBQtwdnbm+++/p0WLFvj6+qZ5MtqU+K5fv87OnTv58MMP+eGHHyhevDgAkyZNUudBunfvHp9//jl+fn5s3rxZbf/69euMGzeOqVOn8vXXX3PixAkGDx5MmTJlaNy4MZB01ef//vc/Zs+eTaNGjTh37hyTJk1i7dq1z42xSpUq6T6vhBAZE5+g49TtUA5dC+bQ1WCuBhlezWZuBlXcnWjgWZj6ZQpTvYQzZYvZY2Geu4MHJDmfSWZ2ST8OdE8lOS+EEKLgKleuHMeOHTNYdu/ePQDKli2b6XYXL17M4sWLSUxMfP7KGZJ/R22KgqtBgwYEBga+8Md1d3dXR4ZmB61Wy759+wzqWF+4cIE5c+bku8S8ELnl/v37jB49GkgqVbN27Vq8vb2pX7++Wlbuk08+4cyZM1SvXp1q1apx7tw5Jk6cSM+ePXMt7oCAAAICAgyWFS5cmLJlyxIbG8uFCxewt7c3ODFSr149AK5evcrTp08NtvX09KRIkSIEBwer31v0HB0dqVixYoZjtLGx4ddff1WvCgoPD2fGjBl4eXnRokULABo1aoSPjw8LFizgp59+IiQkhB9++IEtW7bQq1cvAKpWrYqnp2eGHtuUx7py5QoxMTHMmDEDCwsLGjZsSJ8+fdDpdFhYWGBjY4Obmxs1atTI0fjLlClj9FihoaF88803rF27lgEDBhAREUHLli3x9PRk1apVvPvuu5nqs16XLl2YPXu2wfalS5dW/65RowblypWjSpUqLFu2zKB0Wr9+/Zg+fToAjRs3ZsuWLezcuZPGjRvz5MkTZs6cyeLFi9UTDU2bNlWT/s+LcdmyZekeVyHE88Un6PC+EczfFwPZ6xdIROx/ZePMzKB2qUK0rFiMhmWLUMejEI42eedkuN5LlZzfsmULmzdvViefyc3L6tSa8zJyXgghRAHWpUsXvvzyS86cOUP9+vWBpEt33d3d1drzmTF27FjGjh1LREREvqotLUROCAwM5MGDB7kdRpYdOnQIJycnatasCSQlEUNCQujQoUMuRyZE/lG4cGE1Oa//P4Crq6v6t0ajYceOHfj5+fHgwQMqV65skMjMDcuWLTOak2bo0KFs2LCB+/fv07p1a6Nt9JP0vv7665w4ccLgvvXr1zNs2DB++eUX3nvvPYP7OnbsiJeXV4ZjrFKlikG5rtOnTxMTE8PYsWMxNzdHURQURSEoKEgdMe3n50dcXBxt2rRRtytevDhVq1bN0GOb8li1atXCzc2NLl26MGLECNq0aUOJEiWMJifOjfj17bRv315d5uDgQNOmTTl37lym49Nr1KiR0fb37t3j22+/5dy5c4SEhKgDQvz9/Q2+w9atW9dguxIlSvDo0SM1hri4OHr06GGwjv5KmIzEKIQwnU6ncOxmCNvOPWCPXyCRyRLyxRw0tK7sQqtKLjSvUIzC9ta5GKlpXprk/IYNG9i5cycjRozg4sWLtG3blocPH2bqkvnsIDXnhRBCFAQnTpwgMDAQHx8f4uPj2b59OwDt2rXD0dGRZs2a0b9/f/r378/HH3/Mw4cPmT9/PmvWrEnzx54pcm7kvBD5j7u7e7543L/++stgLogLFy7g5OSU4RGkQoi02dvb0717d5PWrVatmloaJLe98847RiP39XPelCpVioMHDxqNnNdbs2ZNqiPnAQYOHEjTpk0N7nN0dMxUjCknrteX/Vu+fDkODg6prqtfJ2XZlpRtPY8pj+Xk5MT58+dZt24dP//8M++88w4tW7Zky5Ytqfb5RcavPz7J673r20l57DISX1q34+PjadOmDXXr1mXq1Km4urry9OlTmjdvTmxsrMG6lpbGaTP9iR/9umn1NyMxCiGeLyA8hl9P3+eX0/cM6se7OmroUsOdrjWL08CzSK6XqcmoF56cT0hIwMLCIsOTAfXp04dhw4YB0Lt3bxYtWkRMTEyuJefNJDkvhBCiANi/fz+nTp0CoG3btqxZswZIulRc/0Nu06ZNrFixgsOHD2NnZ8eePXsMRlBlRk6NnFeyrSUh8o7sLC2Tm/7++2+++eYb9fb58+dlwjwhBJA0GltfKzwlGxsbateujZOTU6rJ+cqVK6fZrouLCy4uLtkWZ3KVKlUCICwsLM366+XLlwfg8uXLamUArVbLtWvXaNu2rbqeg4ODUZI6+RVTpjwWQLFixfjggw/44IMPCAkJoXr16qxevZr3338fCwsLNemc3fGnlPKxKlSoAICvr696JSbApUuXGDBgQKptmNrn1Pj5+XHz5k3Onj2rXu1w9OjRDLUB/z23zp07p5atyUiM+rkqhBBp0+kUDl0PZu2x2xy+Fozu2VuHo8aSnnVK0KtOSRqUKYz5S5aQT+6FzMgTGRnJjz/+SK1atbCysuLnn382WkdRFL744guKFy+OlZUVDRs2NLj0LHmdyYULFzJ06FAKFSr0IsJPlbn9s+T8s0nvhBBCiPzo008/Zfv27Ub/kl/ebmlpyejRo9m4cSMrVqzIcmJeCJH/hIWF0b17d7p3787du3f57bff6N69O5MnTwaSJjt88OAB7dq1U7e5cOFCrpaxFEKIrKhcuTJdunThgw8+4ObNm0BSMnbXrl38+uuvQFJSulWrVkydOpW4uDgAvvzyS0JCQgzaqlu3Lr///jtarRaAn376iRs3bmTosQ4fPsyaNWvUNhITE9HpdOqIbnd3d27fvp0j8aeU8rHKly9P+/btmTp1qjra/Mcff+TWrVu88cYbmd6/aSlWrBhmZmZ4e3sDSTXvk0/Aa6pKlSrRoUMHJk2apM6J8PjxYxYvXpzlGIUo6GK1iWw+eZeOCw/zxupTHLyalJhvVLYI3w6szclP2/Nln5o0KlvkpU7MwwtKzq9fv54LFy6wbt26NNdZsGAB3377LRs3biQ4OJjmzZvTqVMno8mtvvrqK65cucKCBQtyOux0WRRKuoROF/YkV+MQQggh8qPFixdTrVo1GjZsmDMPIEPohXihbG1tGT16tHoib+HChYwePZo+ffoASSVt2rZta1DSYPz48UycODG3QhZCiCzbtGkTdevWpVq1anh6elKoUCGWLFliUNN8xYoV3L59m6JFi+Lm5saxY8eM6px/+eWX3L17l8qVK1OqVCn++usvo5OXz3usqlWrcujQIYoUKUKFChUoV64c3bt3Z/jw4UDSVYubN2+mQoUK1KhRg8jIyGyLP6XUHmvVqlVER0fj5uZGlSpV+Pzzz1m3bh1ly5bN0v5NTalSpfjyyy/p06cP5cqVo0yZMpk+Gbxp0yZKlChBmTJl8PT0pFatWpQqVSrLMQpRUIVHa1m47xrNvvqHT7b6cONRFA4aS0Y2K8s/k1rxyztN6VuvFLbWmS+hmte8kLI2qc2snZyiKHz77beMHTtWHW03b9481q9fz4oVK/jss89ITExk3LhxODk5sXTp0hcRdrosiiQl5xOfhOVuIEIIIUQ+lFNlbTJYVU8IkU00Gk26da7/+usvBg8ebLCsWbNmOR2WEEJki/fff59Ro0YZLXd2dubnn39m2bJlBAQEUKpUKaO66hUqVODSpUv4+/tTrFgxnJycDCZGhaQR2pcvX8bPz4/SpUvj7OyMv7+/QYWB5z2Wi4sLq1evZunSpdy/f5/ixYsb1D3v2LEjjx494v79+8TExKg1/DMT/+3bt9OtqZ7aYzk6OnL06FEePnxIYGAgNWrUwNracCLHjRs3GtTHN2X/bt++XZ2fILkpU6Ywbtw4Hj58SMmSJbG1teXdd99VS/Wkte2CBQsM5lUqWrQo27dvJywsjCdPnuDp6WlQxjm9GKWsjRD/iYjVssrbn5Xe/uoEryWcbXijWVkGNfLAycYqlyPMOXliQti7d+/y4MEDWrVqpS6ztLSkRYsWHDt2DIClS5eyevVqGjdurM7Evnr16jTPosbFxamXVQFEREQASfXP9JdxZYXu2aVfiU+eEB8fn+Ea+i8L/b7Kjn2WlxWUfkLB6av0M38pKP2ErPe1IOyjrJAB80LkTVOmTKFx48a5HYYQQmSKq6truvc7ODhQsWLFNO83MzOjXLly6bZhZmaGh4eHmpxOKxfyvMfSaDQGCWhT7sto/KZM5J3WY7m7u2NnZ5fqRKxp7aP04tPXs09rO31deIAaNWo8d1sPD49U2ypUqFC6pZeftw+FKKii4hJYc9Sf5YdvEfEsKV/ZzZGxbSvQtYY7lhYvpOhLrsoTyfmgoCAAo4lYXF1d1QmuevbsSfXq1Y3uT8ucOXOYOXOm0fI9e/Zky6zYZnFxVASUuDh2//EHSoozuvnN3r17czuEF6Kg9BMKTl+ln/lLQeknZL6v0flkovLFixezePFiEhMTczsUIcQL0KlTJ0BGEQohhBBCFAQJiTo2n7rHgr3XCHkaD0AFVwcmtK9I1xrFX/o68hmRJ5LzadHpdOqIdA8PjzTPUKZmypQpfPDBB+rtiIgIPDw86Nixozobd1bEx8dz+4tZmCck0L5hQ6xKlsxym3mRVqtl7969dOjQASur/HsJSUHpJxScvko/85eC0k/Iel/1V4q97HKqrI1ewfmqJ4QQQoiXzYoVK7JlUKEQQuRFh68FM/tvP64FRQFQrpg949tXpHutElgUoKS8Xp5IzhcvXhyAR48eGSwPDg7G3d09U21qNBo0Go3Rcisrq2xL7CTa22MeHo5ZZGS+TxZl537LywpKP6Hg9FX6mb8UlH5C5vtaUPZP5hW8L3tCCCGEeLmYUhZGCCFeNreCo5j992X+uZKU/y1kZ8XE9pUY0rg0VgWgfE1a8kTP9aPiDxw4oC7TarUcPnyYV155JRcjS1/is1pvCSlOKgghhBBCCCGEEEIIIURBF5+gY9H+63T+7gj/XHmEpbkZI5uV5dDkNox4xbNAJ+bhBY2cVxTFoGasTqcjISEBc3NzzM2TDsCHH37I1KlTad26NXXr1lXrxb/55psvIsRM0RZyxub+fbQPA3I7FCGEECJfyfma8zI1rBBCCJFXKYp8TouCSZ77Ir85dTuUKVt9uPEoqYRNi4rF+Lxndcq7OORyZHnHCzk1ceDAAWxsbLCxscHCwoKRI0diY2PDmDFj1HXGjRvHtGnTeOeddyhfvjw+Pj7s3bv3ubOe56aEZzNxawMkOS+EEEJkp7Fjx+Ln58epU6eytV35uSOEEELkXfryfPllgnshMio+PmliTAsLi1yORIisiYzVMnWbDwOWHufGoyiKOVjz3eA6rBvZSBLzKbyQkfNt27YlISHhuet99NFHfPTRRy8gouyhVZPzD3M3ECGEEEIIIYQQ4iVnYWFBoUKF1Pno7OzsMDNLf74YnU5HfHw8sbGx6pX5+ZH0M/9J2VedTkdwcDB2dnZYWuaJKSKFyJR/b4XwwS8XeBAWA8CgBh5M6VqFQnbWuRxZ3iSv9izQj5xPCAjM3UCEEEIIkTEyhF4IIYTIk9zd3QHUBP3zKIpCTEwMtra2z03kv8ykn/lPan01NzendOnS+b7vIn+KS0jk2z3XWH7kFooCpQrbMq9/bZqWL5rboeVpkpzPAnXk/EMZOS+EEEJkpxyrOS+/c4QoMHbv3o2/v79BKc2c2Cav2LFjB48fP2bkyJG5HUq6/ve//9G+fXsaNWqU26GIPMrMzIzixYvj6uqKVqt97vparZbDhw/TsmVLtSxOfiT9zH9S66u1tXW+v2JA5E9XAiOYsPk8VwIjgaTR8tN6VMNBI6nn55E9lAXaIkUASHj0CF1MDOa2trkckRBCCJE/jB07lrFjxxIREYGzs3NuhyOEyON27tzJ/fv3efvtt9Vl3t7eeHt7ZyjRnpltckNq/f3nn3+4ceNGnk/OL1++HFdX1wwl5+fOnUuzZs1o1qxZDkaWOT4+PuzYsQOtVssrr7xC+/btczukfMPCwsKkutsWFhYkJCRgY2OTr5O50s/8pyD1VeRfiqKw+dQ9ZuzwJT5BR1F7a+b0rUnH6u65HdpLQ07HZYHOzg7zZwmD+Dt3cjkaIYQQQphO6toIkZ8cPnyYX375xWBZly5d8nySPbNS629+tmrVKs6dO5fbYRjZsmULDRo0wN/fn5CQEHr37s0333yT22EJIYQQL8TTuAQ++OUCU7b6EJ+go01lF7wmtpTEfAbJyPmsMDPD2tOT2AsXiPf3x6ZKldyOSAghhBDpMkv2XyHEi6IvudKsWTN2797NkydP6NmzJ/Xq1VPXOXr0KFu3biU+Pp6iRYtSu3ZtevfubVB3V99O8+bN2bp1K7GxsbRp04YDBw4QGBjI5MmTARgxYgSRkZGEhoYatL9t2zYAHB0dqVWrllH7z6MoCjt37uTMmTM4OzvTrVs3KlSoAMCmTZswNzdn0KBB6vr79+/Hz8+PcePGGcTfpEkT9u3bx4MHD+jbty+NGzfG19eXHTt2ANCvXz8qVaqUagyHDh1Ktb96N2/eZNeuXYSFhdG+fXuaNGmS7v77/PPPgaQR4H/++ScxMTE0bdqUrl27Gjzup59+ypAhQ6hevbq67LvvvqNWrVq0adNGXXb48GH27duHm5sb3bp1Y8eOHZQtW5Zu3boZtHfw4EGOHTuGra0tgwcPpnjx4qn2d/HixQQHB7N9+3Zu374NJI2kNzc35969e/z++++EhoZSpUoVBgwYYDD6VF9CJywsDG9vb2rWrEn79u358ssvGT9+PEePHuXy5cuULl2aYcOGodPp2LRpE/7+/tSqVYsBAwakGhNAXFwcY8eOZerUqcyYMQOdTkelSpWYPHkyw4YNS7M/QgghRH5wPSiK93+5yI1HUViYm/Fhp8q83aIc5ubySyujZOR8Fll5egIQ5++fu4EIIYQQQgiRR/3zzz9MmzaNTp068fDhQ+7cuUPjxo3ZunWruo69vT3u7u64urqSkJDAJ598YpTQ1bfTvXt3wsPDcXV1xd7eHnt7ezQaDe7u7ri7u6PRaPD29mbLli1G7bu7u6fZ/vOMHj2asWPHEh8fz/379+nfvz8HDx4E4O+//2bXrl0G6x8/fpyff/7ZIP6pU6fSp08fgoKC8Pf3p1mzZrz//vsMGDCA6Ohozp8/T7169fBP4/dFWv0FOHfuHD179uThw4fcv3+fVq1a8ccff6S7/wDWr19P/fr1uXnzJnFxcbz++usMHz7c4HG/++47rl+/brBs/fr1/Pvvv+rtxYsX0759e4KDg/H396dVq1bMmjWL06dPG2w3d+5cZs6ciVar5e+//6Z27dqEhISk2t+iRYtiYWGBo6Oj2l8zMzN27dpFrVq1uHjxIpaWlvz44480bNiQp0+fqtsuX76coUOHMmvWLKytrXF2diY8PJxvvvmGFi1asHv3bhRFYdq0afTo0YMWLVpw9OhRIKm82qeffppqTABHjhwhJCTEYD/169cPMzMzdu7cmeZ2QgghxMvu7GMz+i07wY1HUbg5adj0VhNGtyoviflMkpHzWWT9LDkf7387V+MQQgghhBAFj6IoxGizeeJkE9laWWRo1HlAQADnz5+nVq1aAJQpU4YPPviAHj16YGVlRZ06dahVqxYRERE4OTkxefJkypYty4EDBwxGZoeEhHD8+HFKly6tLmvUqBHm5ubqSPLU1KlThzp16qi3J02alGr76dmwYQPbt2+nQ4cOQNLo6cDAQJP3AUB0dDQXL16kWLFiREREEBAQwIYNG7h58yaFCxcGoG7duqxfv57p06cbbd+gQYM0+xsZGcnZs2dxc3NTly1evJhevXqpt1Puv8jISCZOnMhXX33FBx98AMDQoUOpW7cub7zxhsn7JiIigs8++4xFixYxevRoALp3757q9mXLlsXLywuAhIQEPD092bJlC++++67RuoMHD+bzzz+nXbt2vPfeewDExMQwYsQIli1bxsCBAwH47LPPaNSoEYsWLWLKlCnq9q6urhw+fFh9rupH348ePZpPPvkEgNq1a9O/f38WLlzI+PHjAahQoQITJ07kyy+/TLW/V69excLCAs9nvwcB7OzscHd359q1aybtMyGEEOJlotMpfLvvOmuvWwA6mlcoxsLBdSjmoMnt0F5qkpzPIquyngDEy8h5IYQQ4uUhJedFPhGjTaTadK9ceWy/LzphZ236z4latWqpiXmA4cOHM3PmTK5fv061atWApNIqf//9N2FhYeh0OjQaDZcuXTJI8NarV88gMZ8RPj4+7Nu3j8DAQBITE1NtPz1ly5Zl5cqVlClThkqVKqHRaChTpkyGYmjQoAGurq7odDoAKleujKOjo5qYB6hSpQp3797NULsA9evXN0jM16hRQx3Zr5dy/507d46QkBBef/11dVnt2rWpX78++/btM3nfnD17lrCwMIYNG6Yua926NSVLljRaN3nJHEtLywz39+jRowQHB/Pvv/9y9uxZFEVBURR0Op3RKP1evXqlehIpeQxVnpUn7dKli8GyJ0+eEBUVhYODg9H20dHRODg4GLXt7OxsMHpfCCGEyA+i4hKYuOU8e/2CABjVrAxTu1XHQkbLZ5mUtcki67JlAYi7dQvl2RdsIYQQQmTN4sWLqVatGg0bNszWdiUnL0TucXFxMbitTyIHBAQAsGjRIlq0aMGVK1fUEibW1taEh4cbbFekSJFMPf6iRYto1qwZvr6+6bafnj/++ANLS0teeeUVSpUqxcSJEzO0PSSNrk7OwsIi1WUJCQkZaheSSt4kZ2lpadROyv0XEBCApaWl0XJ3d3f12JgiKCgIW1tbo0R2yuNuapzPeyxzc3OKFy9OsWLFcHFxwdXVlSFDhjB48GCDddN6viTf5xYWFmkuSysuBwcHIiMj1ZMsemFhYTg6OprcFyGEECKvuxcaTb8lx9jrF4SVhRlDKyTySefKkpjPJjJyPousSpfGzNoaJToa7d27apkbIYQQQmTe2LFjGTt2LBERETg7O+d2OELkWbZWFvh90SnXHjsjHj58aHD7/v37AJQqVQqA+fPnM3/+fAYOHIiTkxPm5uYsXLjQpLZNKa8zf/58vv32W9588011mant65UvX54NGzagKAqnT5/mjTfe4OnTpyxfvhwrKyvi4+MN1o+IiMhQ+6bKSDmh5ylVqhQJCQk8evRIrUEPcO/ePerWravetrKyQqvVGmybvH8lSpQgJiaGsLAwChUqpC7PSII/LSn76+7ujk6no0+fPpQvXz7L7WdGtWrV0Ol0XL9+ncqVKwOoZYqqVq2aKzEJIYQQ2e38vTBGrTlFyNN4XBw1LH61NgE+x3I7rHxFRs5nkZmlJZpKlQCIvXI1l6MRQgghhGlkDL3IH8zMzLCztsyVfxlNEPv5+eHt7a3e/vHHH6lUqRIVKlQAQKvVoij/vTZ/++03Hjx4YFLbhQoVeu4I9qy0DxAbG8uRI0eApP3esGFDXnnlFbWNcuXKqSVWIKkuevLJWLOTKf01Vb169ShZsiRLlixRl3l7e3Px4kW6d++uLitXrpxByZjTp09z8+ZN9Xb9+vVxdXXlp59+Upft2LGDoKCgLMeYsr/NmzenZMmSzJgxw2DkenBwMBcuXMjy45miWbNmlChRgmXLlqnLNmzYgJWVlUHJnPzs0qVLnD59msTE3Jn3QgghRM7afzmIV5efIORpPNVLOPHne82p61Eot8PKd2TkfDbQVKlM7KVLxF69glPn3Bm5JIQQQggTyJWXQuQaT09Phg4dSps2bQgKCuLAgQPs2LFDLR8ybtw4Jk2ahLe3N7GxsRw6dAh3d3eT2u7QoQOfffYZw4cPx9XVlREjRhitM27cOCZOnMiJEyeIjIzk4MGDJrcPSQn5zz77jPj4eOrUqUNwcDC7d+9m27ZtALz55pv88MMPNG/enJo1a3L48GFsbW1Nbj8jTOmvqWxtbfnxxx8ZOHAgZ86coUiRImzdupUPPviARo0aqet9/PHHvPbaa9y7dw8rKytOnjxpMNLezs6OBQsWMGLECI4fP469vT1Hjx7F3d0dc/OsjQnr1KkT33//PYGBgWg0GubOncuvv/5Knz59qFu3Lk2bNiUgIAA/Pz+DkwM5ydLSklWrVtG3b1+uXbuGra0tf/31Fz/88APFihV7ITHklsjISAYMGMCDBw9ISEjAwsKCI0eOGMybIIQQ4uW26eRdPt3mg06BlpVcWDK0Hg4aS6Or6ETWSXI+G9hUrkI4ECcj54UQQgghhEhV9erVWbFiBQcPHuTJkycsWbKEss/mbwKYOnUqrVq14tixY7i5ubF06VK8vLwoV66cuk6vXr0ICwszartevXpcvHgRb29vwsPD0Wg0dOnShZo1axq036ZNG86ePYuzszM//vijUfspt0lOo9Fw6NAhTpw4wfnz53FycmLJkiVqgrp48eL4+vqya9cudDodH374IcHBwdy6dSvd+Pv160dcXJzBsiFDhqSb0E6tv6m13bRpU6ZMmfLc/dejRw9u3LiBl5cXMTExjB8/nnr16hmsM3DgQKpWrcqxY8dwdXVl0aJF/Pnnn1R6dhWxPu46depw4MAB3NzcWLhwIfXq1TNI2n766ac0btzYoO233nor3YT2559/TvPmzbly5QqxsbGYmZnRtGlTbt68iZeXFw8ePKBbt260adPGoOZ9ao9VpEgR5s2bZ/B4rq6uzJs3z6Acj4eHB/PmzUv3BEunTp24du0au3btIj4+nk8++cSgFFB+FRkZyaRJk+jQoQMAbdu2Zd++fQwYMCCXIxNCCJFViqKwYN91Fu2/DkD/+qWY07cmVhZSfCWnSHI+G9hUSaoxGHv1Si5HIoQQQgiTSFUbIXKFu7u70YSdyTVt2pTq1aurNeeHDBlicH+bNm3S3LZq1aoGtb6TJ42Tt9+0aVP1dsr2mzVr9tw+NGnShCZNmqR6X7FixXjttdfU2+XLlzdYN7X427dvb5SIN6Usiin9rV27NrVr10738fVKlizJyJEj033MmjVrGpy8GDZsmMH9V65coWLFilSrVg2AvXv3cvfuXYN9/tZbbxm1269fv3QfF5L2U/v27Q2W2dvb07dv3zS3Se2xnJycmDx5ssGyIkWKGC1zc3MzWpaakiVL8uabb6LT6XJsjoGMSkxM5O+//+bIkSN07do11eMeFhbGpk2buH//PlWrVmXQoEFYWVkBSYkZLy+vVNtu0qQJJUqUoESJEkBSuagnT54UiJMSQgiR3+l0CjN2+LL+xB0A3m9bgYkdKmXrXDfCmCTns4Hm2QRACQ8DSAwPx0ImrhNCCCHyKPliKYQQOeXu3bv06dOHZs2aER4ezl9//cWMGTOoWLFibodWYJw4cYJXX32V6tWrc+TIEYoWLWqUnH/48CFNmzbFw8ODVq1aMXv2bJYuXcr+/fvRaDQoipLmZMnffPONeoVBXFwcr732GpMnT1bnjhBCCPFySkjU8fHvPvx+9j5mZjCrVw2GNSmT22EVCJKczwYWTk5YlSiB9uFDYq9exT5ZbUYhhBBCCCEKurTKqYj8pWPHjnh5eXHw4EEUReGLL76gcuXKeWZEeUHg4uLC4cOH8fDwoFSpUqmuM336dAoVKsSBAwewsrLi/fffp0KFCqxYsYKxY8dibm7O7t27032csLAwBg0axOjRo+nTp09OdEUIIcQLEp+gY/zmc+y6FIiFuRnfDKhN77olczusAkOS89lEU61qUnLez0+S80IIIUQWLV68mMWLF5OYmJhDjyB1bYR4kdIrpyLyl9KlSzN8+HD1tk6ny8VoCp7y5cs/d53t27czadIktYyNm5sbnTt3Zvv27YwdO/a524eEhNCyZUu6dOmCra0tu3fvplq1apQuXTrV9ePi4gzmVdCfrNFqtdkysaC+jfw+SaH0M/8pKH2VfuZtsdpE3tt0gUPXH2NlYcZ3A2vToZprmv14WfuZGVntq6nbSXI+m9jWqEHUvv3EXvLN7VCEEEKIl97YsWMZO3YsEREROGdnuTgzg/8JIYQQBUpISAghISFGSfzy5cuzadMmk9oIDQ3Fw8ODS5cucenSJSDpczut5PycOXOYOXOm0fI9e/ZgZ2eXwR6kbe/evdnWVl4m/cx/CkpfpZ95T3wi/HTVnGvh5liZK7xZKRHt7dPsvP38bV+mfmZVZvsaHR1t0nqSnM+E8Lhw3t7zNkqUwt2Ld+leoTsu1asDEOsryXkhhBAir5Lx8kIIIQoyfaLAycnJYLmzszNPnz41qY2KFSs+t+xNclOmTOGDDz5Qb0dERODh4UHHjh2N4sgMrVbL3r176dChg3o1QH4k/cx/CkpfpZ95U5w2kdEbz3MtPAQ7awtWvFaPhp6Fn7vdy9bPrMhqX00t6yfJ+UwIig7CL9QPgMuXLvPTpZ8Y7NaFPkC8vz+JUVFYODjkbpBCCCGEEEIIIUQyDs9+p6acAyIsLAxHR8cceUyNRoNGozFabmVlla2JnexuL6+SfuY/BaWv0s+8Iy4hkfe2nMP7RlJifs0bjWhUtkiG2ngZ+pldMttXU7cxz3DLguL2xVnQcgHdbLvRvERzFBQ2Be3kSaGkcx2xfn65HKEQQggh0iVD6IUQQhRAhQsXxt3dnatXrxosv3LlClWrVs2lqIQQQrwocQmJvLvhLAevBmNjZc6q1xtmODEvspck5zPB0dqRVqVa0VTTlEWtF7G281rc7Ny45pY0aV3QmaO5HKEQQgghUifV5oUQQhRsAwYM4Oeff1bL2Pj7+7Nnzx4GDBiQy5EJIYTISQmJOsZtPMf+K4/QWJqzakRDmpQrmtthFXiSnM8G9dzqsanbJkLLJNVmOnlwE0+1ptXrE0IIIYQQQmS/mzdvcubMmRzfJq+4du0aFy5cyO0wnuvo0aM8fPgwt8PIt4KDg5k8eTKTJ08mPDycnTt3MnnyZFasWKGu8/nnn6PRaGjYsCGjRo2iefPmdOjQgeHDh+di5EIIIXKSTqfw8e8+7PELwtrSnJUjGvJKhWK5HZZAkvPZxsXOhYE9pyT9fTeST70/RVHkmnkhhBBCCCFy2o0bNzh37pzBstWrVzNp0qQMtZOZbXJDav1dsmQJn376aS5FZLqhQ4eyc+fODG1z/Phx7t+/n0MRZd3Zs2c5cOBAbocBgIWFBe7u7ri7uzNjxgx69uyJu7s7hQv/N8lfkSJFOH36NLNnz6ZOnTqsWbOGP/74AwsLi1yMXAghRE5RFIXZf1/m97P3sTA3Y8mQejSvKIn5vEImhM1G7vWbEQmUeALHru1je6nt9KnYJ7fDEkIIIfKEuXPnMnv2bHx8fChTpkxuhyOEyEdWrFjB6dOn2bdvn7qsQoUKxMTE5GJUOSe1/uZnb7zxBu+99x7vvfdebodiYPXq1SxYsIDAwEAiIiIIDAzM7ZAoUqQIkydPfu56Go2Gvn37voCIhBBC5LYf/rnBqqP+AMzrX4v21dxyOSKRnCTnMyEm+inXTvxNdNBdLl/4F3PnkpjZF8HKwhKz4iVQAh5SLkjh61Nf06R4E4o7FM/tkIUQQohcdeLECYKCgnB1dZUry4QogK5du0ZMTAw1atTgxo0bPHnyhHr16mFtba2uc//+ffz8/IiOjsbNzY2qVatSqFChNNvx8fEhMjKSMmXKcOfOHUJDQ9Vkda1atWjRogU1a9Y0aP/KlSsAODo6UrlyZaP2TREREcGVK1dwdnamYsWKmJsnXYzs6+uLmZkZ1apVU9e9ffs2wcHBNGzY0CD+mjVrcv36de7cuUOLFi2wtbUlMTGRixcvAlCzZk0sLVP/qXb37t1U+6un0+m4desWYWFhVK9eHVtb23T3X4sWLQBITEzkwoULxMTEUKtWLRwdHQ0e9+DBg1SvXh0XFxd12cmTJ3FzczM44RodHc358+dxc3OjXLlynDp1CltbW2rUqGHQXmxsLH5+ftja2lKlShXMzFKfE+T06dNER0dz9epVtb/t2rVT179y5QqhoaFUqlSJYsUMRwEePXqUsmXL4ujoiI+PD4ULF6Zs2bJ4e3vTrFkzYmJiuHr1KqVKlcLDwwOABw8ecPv2bSpVqmTQ19Q8fPiQ9evXc+rUqTx34kAIIYQAWHf8Nt/svQbA9O7V6FuvVC5HJFKS5HwmPA64Te3Db1Eb4Fm5xBDFEV+dJ1pzM0oAZe8WwrdMBJ3XT6Lo07cpZGeFq6MNrk4aXB01uDra4OKkoWQhWzwK22FrLZcQCiGEyLt8fHyIjo6mcePGqd4fFxeHr68v9vb2VK5c2eC+8PBwFixYwPr16/njjz9eRLgmkBMEQrxIS5Ys4eDBg+rJudDQUMzNzdm9ezdVq1YF4MyZM3z//fckJCTw9OlT/Pz8mDVrFh988IFRO+bm5iiKQrly5Rg8eDDHjx8nMjKSr776CoAZM2bg5eWFt7c3Bw8eNGgfkt6XUmv/edatW8d7771HpUqViIuLw8rKii1btlCxYkXmzJmDpaUla9asUdffsGEDf/31FydOnFDj/+eff9Bqtdjb2xMQEIC5uTnLli1j8uTJ2Nvb8+DBA4oXL87hw4ext7c3iuHff/9Ntb+QdAKicePGJCYmEh4eTlxcHHv27FFPGKS2/1q0aMGFCxfo3bs3iYmJFCpUCH9/fxYtWsQbb7yhPm737t3ZsGEDvXv3Vpe9++679O/fn08++QRISob37t0bR0dH7OzscHR05PHjxwwZMsQgOb9z505mzZpFiRIluHr1Kg0aNGDnzp2pnpD4+eefCQkJYe/evVy+fBmAtm3bcvfuXfr3709gYCAeHh74+voyatQovv32W3XboUOHUrduXU6dOoWnpyd9+/alb9++dOjQgd69e3PmzBnc3d05e/YsX3zxBYGBgezYsQMXFxcuXbrExo0b6dMn7Suh9WWETp06leY6QgghRG7Z5RPAjB2+ALzfriIjm5fN5YhEaiQ5nwmWZnDdvBw2uqc4EkMhIihqFklLCx8eF3Ug+IET/e+F8rdiic7OhzvB57n1uGK6bbo4aihdxI7SRezwePb/Cq4OlHexx9HG6gX1TAghhDC0evVqFi1axJ07dzA3N+fx48dG6+zatYvXXnsNZ2dnnjx5Qrly5fjzzz8pXjzpyrGPP/6Yr7/+2mCEbK5JfWCmEC8vRQFtdO48tpUdpDHaOTUXLlxg9erVvP766yQkJDBgwADeeecdDh8+DECvXr3o0aMHERERODk5cebMGVq2bEmXLl3UBL6+nR07dtCjRw912ZkzZ4zKvHh5eRk8fq9evejVq5d6+9SpU6m2n57Jkyfz/fffM2LECAAuXbpEcHAwFSum/10/OV9fX/755x9atGjBo0ePaNGiBb169eLw4cM0bdqUp0+fUrlyZVavXp3qaOwBAwak2t/ff/8dHx8f9uzZQ7t27dDpdHTt2pVZs2axadMmdb2U+0+n0zF8+HBeeeUV1q9fj7m5OatWrWL06NG0atWKcuXKmdSvxMRERo0aRe/evVm+fDlmZmbMnz+fDz/80GhdHx8fTp8+jYuLCwEBAVSuXJnff/+dQYMGGa27YMECdu3aZVDWRlEU+vXrR+vWrZk7dy7m5uY8fPiQBg0a0KBBA4YMGaJuf+bMGU6ePEmJEiWApKsZAKytrbl16xaWlpZ88803TJ48meHDh3Pz5k0sLCyYOXMmH374YbrJeSGEECKvOnMnlAlbzqMoMKxJaSa2N/27inixJDmfCcXLVUc75SQ7d+6ka9euoMTD42tw7yQ2ln/CxZs4hyQwJCKGn50dqeK5hferLidQ68ijyFgeRcTxKDKOoIhYHoTFEBmbQHBkHMGRcZy588T48ZxtqODqQAVXByq6OlLRzYGKrg4UsssDSQ4hhBD52rVr11i5ciWHDx9m9uzZRvc/fvyYQYMG8eGHHzJt2jRiY2Np06YNo0aNYufOnVy/fp2ffvpJHUkaHx9P5cqV8fHxoVKlSi+4N0LkQ9po+F+J3HnsqQ/B2nhkd1rKlCnD66+/DoClpSXTpk2jfv363L59G09PTwASEhK4evUqUVFRKIpC8eLFOXbsmEHyvGbNmgaJ+YxISEjg+vXrBAYGkpiYmGr76VEUhSdP/vu+nrJUiykaNmxIq1at0Ol02NjY8Morr1CyZEmaNm0KgL29PU2aNMHPzy/DbTdo0IB27doBYG5uTqdOnVi9erXBOin337lz57h48SLbtm1TS/SMHDmS//3vf2zatMnkSWbPnDmjlp7Rl5wZP348X375pdG6I0eOVEvGFC9enLp16+Lr62tyP0+fPs2ZM2eYNm0ahw8fRlEUFEWhXr167N692yA5//rrr6uJ+eQmTpyojtTX77OJEyeqk6K2a9eOmTNnEhsbi42NjcmxCSGEELntVnAUb649TVyCjvZVXfm8R/U0y8eJ3CfJ+exgbQ8l6kKJuthWHgQbmqKNsuSdhCLsTIzkrkUU0cd6M6Lxh9B+FFgYjoQPj9ZyNzRa/XfvSTS3Hz/lxqMoHkXGERAeS0B4LEeuG45WdHeyoWpxR6qVcKJq8aR/nkXtsTCXF5wQQojsMWfOHAB1ZGtKv/76K4mJiUyaNAkAGxsbJk+ezIABAwgICKBChQo8ffpUXb969ers3LkzzVGmcXFxxMXFqbcjIiIA0Gq1aLXaLPdHLXevKNnSXl6m75/0M3/Q9y8hIQFFUdDpdOh0OtDpMM+lmPSPbwpFUahQoULSNs+UL18egJs3b1K6dGmOHTvGsGHD0Gq1eHp6YmtrS0hICAEBAep2iqJQsmRJg3b0y9WY0limbz8hIQFPT09sbGxSbT9lO8ktWbKE9957j++//57WrVvTv39/OnXqpG6rPzZpxaAoCkWLFkWn06n32djYqMv0NBoNT58+TTOOtPpbrFgxo3aio6PT3X83btzA0tKSMmXKGCyvVKkSt27dMlimPu9SxKKvc6/RaChRooS6joWFhVqPPvm+SdlfGxubdPubcvurV69ibm6ulilKzt3d3aCd5PEk32dFihRR/9Zf2ZVymaIoREdHP/fKr5THIa1+6I+7VqtVTwLo5ff3MCGEEC/G46g4Xl99iifRWmqXcmbRq3WxtMitb4vCFJKcz2YWhQph5eGB9t49rBsvYFT8Dubf/Zul9tZ03/0xVmfXQZ+lUPy/SZuc7ayoaedMzVLORu2Fx2i58SiKG48iufEoiuuPorgeFMWDsBgCI2IJjIjlwNVgdX1bKwsquTtSrbgT1Yo7UrW4E1WKO+GgkUMthBAi+507d46qVatiZ2enLmvUqBGKonD+/Hm6dOliMOLQzMwMjUaT5siNOXPmMHPmTKPle/bsMXiMzEpMTFT/v3Pnziy39zLYu3dvbofwQhSUfh47dgx3d3eioqKIj49POuM09nLuBBOTALERJq0aHx9PWFiYesINICAgAAArKysiIiIYPXo0PXr0YNasWeo6DRs2JDY2Vt0uPj4enU5n0A4kndhLSEgwWJ5ymSntp9ZOch06dODy5cucP3+e/fv3M2jQICZNmsT48eNJTEw0ii0yMpLExESD+FO2n9oyrVaLoihpxpFanKm1ExsbaxBTavvP2tqahIQEAgMDDWrcP3nyhPLly6vrmpubEx0dbbBtTEyMuv+srKyIj4/n8ePHBsnssLAwdV9AUoI6+T6HpPfk+Pj4NPur0+mIiYkxiEWn07F8+XKKFClitL5+PZ1OZ9RuVFSU+n/9cv2yyMhIdZn+xHJkZKR6RUFaYmNj1b/1/UxNfHw8MTExHD58mISEBIP7oqNzqTyVEEKIfCMmPpFRa09zNzQajyK2rBjREDtryQfmdXKEcoBN9epo790jxs+XgW/MYO3WkzwkmK1FXBn0yBd+agOtP4FmE8Ei/UPgbGtF/TKFqV+msMHyyFgtVwMjuRwQgV9AJH4BEVwNjCBGm8iFe2FcuBdmsH7pInZU1Sfr3Z2oVtyJUoVtMZdR9kIIIbIgNDSUokWLGizT3w4NDTVa38/PDyurtOdSmTJlisHkjBEREXh4eNCxY0ecnJyyHO+5Z21bWFgklabLx7RaLXv37qVDhw7p7vOXXUHr5yuvvEJAQAAODg7JTnwZD/DIa6ytrfHx8eHp06fqfBRbtmzB2dmZevXqYWdnx4MHD2jVqhUAjo6OXL16FX9/fzQajfr6t7a2xtLS0uj9oHDhwuh0OoPlGo3GYF19+/rbV65cMWo/5TbJJSYmEhMTg5OTE61bt6Z169ZERETg7e3NtGnT8PDw4NSpUwbbnj17FgsLi1TjVxSFyMjIVPtkZWWVZhxp9Te1dmxsbDA3N093/zVt2hQbGxu8vb0ZMGAAAIGBgZw7d44JEyao67q7uxMcHKzeDg4O5tatW9jY2ODk5ETTpk2xsrLixIkTdO/eHUgqjXb37l31mJqZmWFubq5uo2dhYYG1tXWa/XVwcDDYj+3atUOj0bBt2zYmTpxosG5YWBiFChUCSPWxHBwc1P/rl+uXOTo6qsv0JyqSL0tL8pPQ+n6mJjY2FltbW1q2bGlUKietExNCCCGEKRRF4cPfLnDhXhiF7KxY80YjXBw1uR2WMIEk53OAbY3qRO7eTayvH8UsbXmz5pvMOTmH5W6l6O3SAM3VnfDPbPA/DP1Xg32xDD+Go40VDTyL0MDzv5EiiTqF2yFPkxL2DyO4HBDB5YBIAiNi1ZI5Xr5B6voOGksquztStbgjVdydniXuHbGXUfZCCCFMZGVlZTBiEJJGUgKplgF4XmkAjUaDRmP8JdLKyiqbEq9mz/5rlq8Tucll377L2wpKPy0tLdUE5/NG8+YlZmZJr7kePXrw0UcfERQUxGeffca0adPUxGjHjh35/PPPiYqKIiEhgS+//BJra2u1v/p2kt/Wq1OnDvPnz2fz5s24urpSq1YtNUGqX1ffvj4pPmvWrFTbT75NctHR0dSvX59hw4ZRp04dgoOD+fXXX/noo48wNzdnwIABfPvtt3zxxRfUqVOHP//8k3///Zfq1aunGn/y0icp+5RWP5/X35Tb6P9Ob/+5u7vz0UcfMWbMGB4/fkyRIkWYO3cu9erVY+DAgeo+GTBgAHPnzqVo0aJYWVmxcOFCzM3N1fZKlCjB2LFjeeutt5g1axb29vb873//w9bW1uhxUz5/n9ff2rVr89tvv1GlShU0Gg3t2rVj3rx5TJo0icDAQJo1a0ZAQAC//PILr7/+ujphb2qPlVoMpi5L6dKlSwQGBnL16lV0Oh0HDx7Ezs6OJk2apJrQ1++v1N6vCsL7lxBCiJyzaP8N/roYgKW5GUuH1ae8i0NuhyRMJFnYHGBTvToAsZcuAdC/Un9WXVpFUHQQfzUdS7+qPeHvSUnJ+eWtYeA6KFkvy49rYW5GeRcHyrs40L3Wf5MehT6Nf5aoT0rWXwmM4HpQFFFxCZy588RoEtoyRe2o6u5EleKOVHKxJyT2v7qWQgghRHJlypTh1KlTBssePHgAQOnSpTPd7uLFi1m8eLFahib7yeeaEC9a69ateeutt9i2bRtPnjxh0aJFvPHGG+r9K1asYN68eWzevJmiRYuyePFidu/eTdmyZdV1KleurCbzk+vZsydffvklv//+O+Hh4cyYMYMKFSqoJwv17c+fP59169bh7Oycavspt0nOwcGBo0ePsmTJElavXo2TkxPff/+9Otq8UaNG7Ny5k3Xr1nH16lXatm1LmzZtOHnyZLrxV61a1WjUdI0aNYxqkj+vv6m1XapUKZo1a/bc/Tdz5kwqVarEH3/8QUxMDAMGDOD99983GAE+c+ZMihUrxrZt23B1deWbb75h06ZN6mS+APPmzcPT05M///wTNzc3vvvuO8aNG2dQlqx58+aULFnS4PHr1q1rcBxS+vrrr5k7dy4//vgjsbGxtG3blnHjxlGnTh3Wr1/PTz/9hKenJ1988QUtWrRI97FsbW1p166dQUz29va0a9fOYDS7k5MT7dq1Szdp/scff3DgwAEAWrZsycKFC7G0tOT777/Plqu9hBBCCFPs9Algwb5rAMzuXYMm5Yo+ZwuRl5gpBSTrGhERgbOzM+Hh4dnyRUmr1bJz5066du1q9IUtMTyca42bAFDx+DEsCxdmre9a5p+ej6eTJ3/0/gPz4KuweSiE3gQLDfT7Car1ynJcJsefqONW8FOuBEbgFxDBlYCkEjmPIuNSXd9eY0EFFwcquDpSwdVB/edR2DZfTCyR3vHMbwpKX6Wf+UtB6Sdkva/Z/Xmnt3DhQmbPns3jx4aTk+/fv5/27dvj6+tLtWrVAJg1axYLFy4kMDAwy8cru/vzeYUKDLK04te4WKb7+2e5vbysoLxuClo/27Zty/379ylbtqxRWYy8bMKECdy4cYO//vor3fX09dCdnJxeqisDMiM/9jU6Otog6X3nzh0qVqzI9u3b6dy5c77pZ2pMOZ6xsbH4+/un+vrNqc/vvOhF/jbPT6Sf+U9B6av0M2ddehBO/6XHiNXqGNmsLNN7VMvRxysoxxNe3G9zGTmfAyycndVJYeOuXMGyaVP6V+rPsgvLuB1xm4P3DtK2dFt4+wBsfRuu7YZfRkCXudD47RcSo5WFOZXdHans7kivOv+NJgmJiuPKs1r2lwMi8XsYzrWgCJ7GJXLhfjgX7ocbtGNtYU7ZYvZUcHWgvD5p7+JA2WL22FqnPdpHCCHEy8HPz4/Q0FD8/f1JSEjA29sbQK0R3a5dOzp27MiAAQOYOXMmDx8+5Msvv2TBggVZ+rKW8yPnhRBCZLdNmzZx4sQJOnXqRHh4OPPmzaNp06Y0bdo0t0MTQggh8p1HkbG8te40sVodLSu5MLVrldwOSWTCS5Wc/+6775gzZw4A06dP5913383liNJmU7Uq2nv3iPW7jH3Tpthb2TOoyiBW+Kxg9aXVScl5G2cYvBF2fginV8KuDyHiAbT/HNKYRCinFXXQ0KyChmYVkurga7Va/vxrJ1UatuT2k1huPIpS/90MjiIuQcfVoEiuBkUateXmpKFMUXs8i9rhWcwez6L2lClqR5mi9jhIXXshhHgprF27lqNHjwJJZRY++eQTANavX6+WINi2bRvffvsty5cvx87OjvXr16tlHjJr7NixjB07Vh1tkO0KxHWDQuQdaZVTEfnLyJEjsbCwYOvWrSiKwpgxYxg9enSapYKEEEIIkTnaRB1jfz5LQHgs5V3s+WFI3XxR2aIgemkypJcvX2bu3LnqiL1WrVrRsWNHKlSokMuRpc6mahUi9+wh9soVddmQKkNY67uW88HnOffoHHVd64K5BXT7BpxKwD+z4OhC0MZAl69zLUGfkoU5VHRzoFqpwgbLE3UKD57EcCM40iBpf+NRFBGxCQRFxBEUEcdJ/1CjNos5aPB8lqj3KGJLyUK2lCxsi0dhO9ydbbCSNxQhhMgTvv766+euY2dnx2efffYCoskOeeOzVYiCZsyYMbkdgngBzMzMeP3113n99dfVZTqdTpLzQgghRDb78u/LnLr9BEeNJcuHN8DJJn+XmMnPXmhy/sGDB/j4+FC7dm2KFy+e6jq+vr4EBwdTo0YNihUrpi7ft28f/fr1U5Pxffr0Yd++fXk2Oa+pWhWAuCuX1WUudi70KN+Drde3sunypqTkPCQl4VtOBnsX+HM8nFwGugToOh/ycF1GC3MzShe1o3RRO9pWcTO4Lyw6ntsh0dwJecrtx8/+H/KUOyHRhDyN53FUHI+j4jidYjJaAHMzcHeyoWRhW0oVtlMT96UKJyXxSxSyxcZKSuYIIUR+JmVthBBCCCGEEMLY1rP3WXPsNgDfDKxNeRe5OvFl9kKS8z4+Pnz++eecPHmS+/fvs379eoYNG2awTnh4OD179uTSpUuULVsWPz8/vvrqK95//30AHj9+jIuLi7q+q6ur0aR0eYmNPjl/yx9dbCzmzyb8ebXKq2y9vpW9d/YSHB2Mi91/faL+CDC3hD/GJpW5URKh24I8naBPSyE7a+rYWVPHo5DRfRGxWu6GRHM75Cm3Hz/l/pMYHoTF8OBJDPfDYohP0PEwPJaH4bGcum2cvAcobGeFm5MN7s42FHe2wc3pv/+7O9tQ3MkWJ1tLzPLI1QdCCCEyJqfL2singxBCCCGEEOJlc+lBOFO2+gAwrm0FOlZ3z+WIRFa9kOT83bt3efXVV9myZUuak8N99NFHBAUFcevWLZydnfn9998ZMGAALVq0oG7duri4uHAlWYmYoKAgatWq9SLCzxRLV1csihQhMTSUuOvXsa1ZE4AqRapQ17Uu5x6d47frvzGmdopLfOsOTUrQbx8NZ9aApQ10/irPlLjJDk42VtQo6UyNksbJFp1O4fHTuKSE/ZOYZ4n76GR/xxAdn8iTaC1PorVcCTSuda9nY2WO+7NkvbuTDW7ONrg4aHBx1Pz3f0cNzrZy6Y8QQhQY+efjVAghhBBCCFGAhEXHM3rDGeISdLSu7MKE9pVyOySRDV5Icr5bt27p3p+QkMDGjRuZNWuWOjpOX8Jm3bp11K1blw4dOvDll18yZswYFEVh69atTJo0Kc024+LiiIuLU29HREQASROcarXaLPdJ30Z6bVlXrkzM8eM89bmEZZX/ZkweUGEA5x6d45ervzCiygiszFMkh6v1xSwxAcsd78K/S0m0dkLX8qMsx5wZpvQzuxW2saBwcQdqFje+LEdRFCJiEwgMjyUoMo6giFgCw+MIiowlMCKOoGfLn0RridXquB0Sze2Q6HQfz8rCjKL21lglWrDt8RlcnGwo5mCNi4OGYg7WFHPQ4OJoTVF7DQ4ai5d+NH5uHNPcIP3MXwpKPyHrfc0v+0jK2gghhBBCCCFEEp1O4YNfLnD/SQyli9ixcFAdLMxf7vyUSJInJoS9ceMGUVFR1K1b12B53bp1uXDhAgCVK1dm+vTpdOnSBTMzM7744gvKlSuXZptz5sxh5syZRsv37NmDnZ1dtsW+d+/eNO8rZm1NEeD6nj08sv/vMROUBBzMHHgc85gFOxZQw7pGKls7ULbUa9S6vx6LI3Pxu/WQW64dsy3ujEqvn7nJHigPlLcCij77B8QnQoQWwuIhPN6M8HgIizcjMh4itRChTfo7OtEMbaJCYEQcYMa96yHpPp6lmYK9FThYgoOVgr0lOFgZ/+3w7G87y6Qa+nlRXj2m2U36mb8UlH5C5vsaHZ3+CcmXRU6XtQElB9oUQgghhBBCiOz305Fb/HPlEdaW5iwZWo9Cdta5HZLIJnkiOR8WFgZAkSJFDJYXLVqUa9euqbfHjBnDmDEpysCkYcqUKXzwwQfq7YiICDw8POjYsSNOTk5Zjlmr1bJ37146dOiQZqmeSCDo0CHcY2Jo0LWrwX0PLj7gp0s/cc3hGh+1T2tUfFcSj5TE4vBX1Hywgar1X0GpOTDLsWeEKf18mcUl6Ah9Gk/Ak6fs8z5JqYrVeBKTyOOoOIIj43gcFU9wVBwhUfE8jU8kQUlK9IfHgym1EczMoJCtFYXtrClir/+/NUXsrChkZ4WzrRWFbK1wevZ/52fLNJY5N89Afj+metLP/KWg9BOy3lf9lWIiLXn0jKkQQgghhBBCpOL07VDmel0FYEaPaqmWiRYvrzyRnLe2TjrbExMTY7A8OjpavS+jNBoNGo3GaLmVlVW2JnbSa8++RtKI+Lhr17A0N8fMwkK9b1CVQazyXcXZR2e5F32Pcs5pXAXQ5hOIj4ATS7D8630oVArKtcq2+E2V3fstr7CyAgdbDcWdbQj0U+jauEya/YyOTyAkKp7Qp/GERscTmvLv6Ge3n/0Lj9GiKKj18W9lYP5iWyuL/5L3dlYUsrVOup3sb30yX71tZ4Wtlelld/LrMU1J+pm/FJR+Qub7WlD2T2bJeHkhCo4ZM2bg7e3N/v37c3SbvGLSpEncuHGDP/74I7dDSVeFChWYOnUqI0eOzO1QhBBCiDwv9Gk84zadI1Gn0KN2CYY0Kp3bIYlslieS856engDcu3ePRo0aqcvv37+v3vcysvb0xMzGBiUmhvg7d9GUK6ve52bvRouSLTh4/yDbrm9jUoM06uebmUHHLyEqCC79Dlteg1F7wLVK6uuLHGNnbYldEUs8iphWFkmbqONJdDxPnmoJeRrHk6daQp/GEfI0nifPkvdhMVrCorVJf0cnLdMpEKNNJCY8kYDw2AzFaGluhpOtFU42ljjaWOFka4mjJun/TjZWONpYYW9thv8jM6wvP6Kwgw2ONkn3OdlY4WBjKTXLhBB5gtScF0JkxKeffsrp06fx8vJSlyUmJmb4PSQz2+SG7OpvbkhISECn02Vomxo1avDuu+/y7rvv5lBUGaefN23ZsmX4+vri4uJCjx49+OKLL3BwMJ47SwghhMiopDrz5wkIj6VcMXvm9K350s+DKIzlieR8kSJFaNiwIdu3b6dfv34ABAcHc+TIEZYuXZrL0WWemYUFmsqViL1wkdjLfgbJeYC+Ffty8P5Bdtzcwft138fKIo3Rjubm0GsJhD+Aeydg4wB4cz84uL6AXojMsrIwx9XRBldHG8DRpG10OoXIuATCo7WExcQTFp2UwA+P/u9vfTI/PCb5sni0iQoJOkUduZ8+C36+eT7Vexw1lkkJe1srNXGvv61P4Dto/vtn/2z95H9rLM3lA0MIkSU5XnNehtALka+klpj+4osvUJT8+WJ/WRLx2SUzCf2ctn//fv755x/mzZtH9erV8fX15dVXX+XRo0ds2LAht8MTQgiRD6zwvsXBq8FoLM1ZPLQeDpo8kcYV2eyFHNWQkBBOnTql3r548SK7d+/Gw8OD6tWrA/D111/TsWNH3NzcqFu3Lt999x3VqlVj6NChLyLEHGNTtSqxFy4Sd+UKdOtmcF+LUi0oZluMxzGPOXT/EO3LtE+7ISsbGLwRVraH0FuwcRC8/jdYZ9/ktiL3mZub4WybVM6mNKYfW0VRiI5PJCJWS0RMApGxWiJitUTGJhARoyUiNkG9Lzw6jlv3AtA4FiYqLiHpvhgtcQlJP3gi4xKIjEvgYQZH7SdnYW6WIoFvgYONFY76vzVWOGgscLBJSuinl+yXRL8QIlvJ24kQuWLSpEn4+vpSrVo1tm3bxpMnT+jduzeLFy/G3t4egCVLlvD+++8D4OjoSK1atfj6669p0qSJUTs1atRgw4YNmJmZ8eGHHzJ37lwALC2Tft788ssvXLhwwaBEjSntP8+lS5eYOHEiZ86cwdnZmf79+zNz5kzs7OwYMWIElpaWrFy5Ul3/f//7Hzt37sTb21uN38fHh4oVK7J7926Cg4Pp2bMnCxYsYPr06WzduhWA4cOHM3fu3FS/A3377bep9hcgPj6eKVOm8OuvvxIWFkbHjh358ccf1ZOcqe2/gIAAIiIimDRpEn/88QcxMTE0bdqUb7/9lhrPynQCFCpUiHXr1tGzZ091WZMmTejbty8ffZQ0h1ZwcDCjR49m7969uLm58eqrr7Jnzx66dOnCtGnT1O3u3LlDnz59OHr0KLa2towbN47Jkyenus9bt27N1atXGT9+PBMmTAAgLi4OnU7HF198wfr16wkNDaVKlSrMnDmTLl26qNtWqFCBIUOGcPr0aby9vXn11VeZOnUq5cuXZ968eWzZsoXLly9TunRpFi1aREREBNOmTcPf359atWqxatUqKleunGpcnTp1olOnTgb7YsKECUydOpU1a9aoxya/u337NsHBwTRs2DC3QxFCiHzl0oNw5j2rMz+9RzWqFs/6/Jkib3oh3xju3bvHwoULgaQvMRcvXuTixYt07txZTc63adMGb29vli9fzq+//kq3bt2YOHFipmvO5xU2VaoCEOt32eg+S3NLepXvxcpLK9l6fWv6yXkA+6Iw9DdY0Q4enoVt78DAdUmlb0SBZmZmhv2zZHbx5www1Wq17Nz5gK5dGxvUpo5LSFST+ZHPkvn/Jff/+zsyLoGo2ASexif9Pyru2b/YBJ7GJ43gStQpz0b3a7PcNysLM+ysLbG3tsDW2gJ7jSV21hbYW1sm3ba2xE7z3//trCyw01hiYwF+T8wodjsUZzubpG00SdvYWVlgaZFzk+4KIYQQL4qiKMQkxDx/xRxga2lr8gn0xMREvLy8KFGiBMeOHePRo0cMHjyY8ePHs2LFCgDGjBnDm2++SUREBIqisGLFCrp06cL169cpVqyYQTtVq1blwoULFCtWDHNzc4KCggzKvFhYWHD27FmD0eVjxozh7bffBiA8PJzly5cbtf88gwYNonXr1mzatIm4uDh++eUX/v77bwYMGEBiYqLR/tDpdCQkJBjsh71799K4cWOOHz+Or68vffr0Yffu3UyYMAE/Pz+uXbtG+/btadq0KX379jWKYeLEian29/Dhw+zdu5f69etz7NgxQkND6dmzJ7NmzWL+/Plp7j+AUaNGce3aNfbv30/RokWZOnUqHTp04Pr162qJltRGr6dcNmLECHVglr29PePHj+fff/81SGIDLFy4kPXr17NmzRoOHDhAv379aNy4MS1atDDq7/79+6levbpBWRsLCwtGjRrFzZs32bFjB56enuzevZt+/fpx+PBhGjRooMY3f/581q5dyy+//IKdnR13794lMTGRVatWsX79ekqXLs17771Hnz59qFSpEj///DMlSpTgzTff5K233uLw4cMmPDOShIaGYmdnV2AS8yEhIQwaNIinT59y6dKl3A5HCCHyjZj4RMZvPoc2UaFjNTepM5/PvZBvDXXq1GH37t3PXa9x48Y0btz4BUT04thUSRppEXf9eqr396nYh5WXVnL04VECnwbibu+efoNFy8PgTbC2B1zeAYfnQ6sPsztsUQBpLC3QOFhQzMF4ImVT6XQKT+MTeBqXSFSclqi4RIME/tNn/4+M/e/vqDSS/dHPEv3axKwk+i1YduV0Gv01VxP9Sf+SRvXbWVv+d9s6KdGvX8fGygJbq6S/ba0ssLFO/baVJP6FyPPktLbIL2ISYmi8MXe+P/875F/srEy/0q9w4cIsXrwYW1tbihcvzjfffEOvXr34+uuvKVq0KGZmZlhaWmJpaYmTkxNTpkxhzZo17N27l1dffVVtp1SpUsyfPx8LCwt1mZmZmbp9WpLfX7Ro0TTbT4+/vz/z589Xk9oTJ040uf96FStWZNasWeh0OurWrUunTp24fPkyn332GQBNmzZVBy6llpzX9zW1/lasWJE5c+YA4Orqyuuvv8727dsN1km5/27cuMFvv/2Gt7c3NWvWBODHH3/Ew8ODtWvXMnbsWJP6de3aNXbt2sXp06fV0ebLly/n77//Nlp39OjR9O7dG4DevXtTv359jhw5kmpyXh+nubm52l9/f3/WrVvHjRs3/s/efYc3WXYPHP9mNd17QiktLauslr0RBETkFRUFASeg8lrXy4uDV/0pLtziqBtxggMHojKqiLKpILOssltK96Qr6/dHaCS0hY40adPzuS4um2fczzlJTdvz3Dk3HTp0AGDy5MmsWLGCjz76yFKcB7jtttu44YYbqo37wgsvEBcXB8B9993H0qVLef755y3PQUJCAldeeSUGg8Hqe602J0+eJDExsVUtdPuf//yHJ598kgcflL9HhRDClp79JYUj2WcJ9tLy/KSe0k3AybWOW/oO5BITA4A+KwtDQQEqX1+r/e2929MnpA/bM7ezPHU5d/W669KDth8EE16FH++F35+B0O7Q+cpLnydEE1MqFXidW3gWXBs1luFcob+k3FyoLz1X9C+trO2xgbMV/+wrqdCTkZ2HxtWDUp3BcozBaO49W6E3UqGvJO+sDRK/gFqpwO1cob7af88V8d3P2+Z67uvzbwBUFf1dXWp+LDcAhLNrugVh5RdbIRyle/fuuLm5WR4PGDAAvV7PoUOHGDRoEFlZWcybN481a9aQlZVl6at+8uRJq3G6du1ap2LphbKysvjf//5HUlISZ86cqXX8i7nrrruYNm0aU6dOZdSoUYwdOxZv7/p9zLxjx45Wj319fWvclp+fX69xaxrb39+/2jgXPn8pKSkolUr69+9v2ebm5kZcXBwpKSl1vvb+/ftRq9XEx8dbtgUEBBAVFVXt2E6dOl0yzovZvn07JpOJ2NhYwPwJEpPJhMFgYMyYMVbHnt+a53znP1e+5/5Gu3CbXq+npKTkkmuf5Obm8q9//YvY2FiefvrpOufRVEwmE0lJSaxfv56xY8fWeNOjuLiYZcuWkZaWRteuXbn22mst3xcmk4k//vijxrHj4+Px8fHh9ddfZ9KkSTW+vkIIIRru15RMPt9i/t3klcm98Pdo2R1FxKVJcb6JqTw90bRpg+70aSpSU3E/bxZHlUkdJ7E9czvfp37PHT3vQKmoQ9Gt9y2QsRuSP4Bv74A7foOgmvshCtESqZQKvF3Ni9A2hLl9zy+MHz/U0r7HZDJRoTdaCvjWBX3rgv/ZCgOlOj2lFQbOVuop1xkoO3dcuc5AWdW/SiNllXrKdAbO1f3RG00Ul5s/IdBUzr8BYKhUkXhkE25aNW4apeVmwPmFfqvHF9wUcFUrq22r+lqllEKmcIwmXxBWCCfhpnZj67StDrt2fVw466vqcVVblBkzZlBZWclXX31F9+7dcXd3p0+fPuh01p+ea2jbyxkzZqDT6fj555+JjIzE1dW1xvEv5rXXXmP69OmsXLmS1157jVmzZvH1118zduzYGo+vaUHamma/1bStIYvZ1mWc2p6/ml6fS8VQlxibIl+DwYBSqSQ7O9vqhg+YZ9ifr675NjSuvLw8xowZg6+vL0uXLkWrbfinUG1h27ZtTJ8+nfbt27Nt2zY8PDyqFeczMzMZPHgwAQEBDBs2jIcffpi3336b1atXo9FoMBqNPPnkkzWO/+abb1raM82dO5dt27Zx9uxZtm7d6nSfghdCCHvLKi7noW93AzBraBTDOgY5OCJhD1KctwNtx47m4vzhwzUW50e3H81zW58jvSSdHZk76Bta/ZgajVsAWfvhxAZYOhXuWAtuvrYNXggnolAocD1XdLb13WeTyUSlwUh5pZFSnZ6ySnPxvvzcrP3zH5dVGijVGSiv/KfIbyn6V22rtL4BYB5HX8sNAAW5WSU2zaeKi1pZQ4HfupjvWtMNgHPH1HZD4PwxZdFf4Rj1L3oJ0RwpFIp6tZZxpL1791JeXo6rq/nTdcnJySiVSsss6o0bN7Jo0SJiY2Px9PSkuLiY1NTUOo1dVVC8mI0bN7J48WLLTOrCwsI6j3++vn370rdvXx5//HFuvfVWXn31VcaOHYufnx+nTp2yOrYh49dFXfKtq65du2I0Gtm+fbuluFpRUcGuXbusFn/18/OjoKDA8liv13P8+HHL486dO6PX69mzZw+9evUCoKCggGPHjjU6xgvzjYuLw2g08scffzBhwoRGj99Q+fn5jBkzBnd3d37++WebvSaN4efnx8qVK4mJiSE8PLzGY/7v//4PNzc31q9fj1ar5b///S+dOnVi0aJFzJ49G5VKxbp162q9xldffUVJSQlPPvkkpaWlZGVl8cYbb/DFF180UVZCCOH8jEYTc7/ZTd7ZSrqEevHgOJmA21pIcd4OtJ06UvLHH7X2nXdTuzGm/Ri+T/2en47+VPfivEoDkz+B9y+DvCPw7UyY9jUo6/8xXyFE4ygUCnPffrUKHxo22/9Szr8BUHauWF9SVsnaP9cT33cAOqPCUtAvv6DA/8+NACNl58/+rzRQrre+UVCu++cPy0q9kUq90SaL+16Mq0Zp1fan6msPrRo/dw3ermqy0xTkbT1JgJcbfu4a/Nxd8HXXEOipxVUj73uibqQkL4Tj5OXl8cADD7BgwQKysrKYO3cu06dPJyjIPCusU6dOfPXVV/Tt25eSkhLuueceSktL6zR2REQEixcvJi8vD39//xqP6dSpE19++SWjRo2ipKSEu+++u87jg7mYP2PGDB566CHi4uLIzs5m//799OnTB4AhQ4Ywc+ZMtmzZQlxcHCtWrGDp0qX07t27zteoq7rkW1cdO3Zk4sSJ3HvvvSxduhR/f3/mzZsHmBd4rTJkyBDee+89rrzySjQaDf/3f/9HXl6eZX+XLl0YM2YM99xzD1988QXu7u7cf//9lJeXNyo+MOe7fft29Ho9arWazp07c+ONN3L33Xfj5ubGkCFDyMjI4OuvvyYkJITbbrut0de8lMLCQsaOHYu7uzsrV67E3d2doqKiJr/upVzY2qgm33//PQ888IBlln+bNm244oor+O6775g9e/Ylz58yZQpTpkwB4MCBA1x//fUXLcxXVFRQUVFheVz1POl0unp9cqU2VWPYYqzmTPJ0Pq0lV8mzbj7ZfII/D2WjVSt59YYeKE1GdDrH3/S9UGt5PaHxudb1PCnO24H23C9IFYdqLs4DTOgwge9Tv2fN8TXMGzAPraqOH4f0CIQbv4BFV0Dqr+YFYi972BZhCyGamZpuAOh0Oo55weDoAEv7nsYyGs3tf8rOL+DrrGf0Vyv+64wXuSFQfYxynZFKwz+/aJjPN5LPxX54qViZdqDGPX7uGkJ93AjzcSXUx5Uwb/N/2/q50SHQkxBvrczOF0IIBxs1ahRKpZLY2Fjy8/OZOHEib775pmX/hx9+yKxZs4iJicHb25tp06ZZ9S+/mBtvvJHvv/+eiIgIysvL+frrr6sdUzV+YGBgvccH8PHxYfr06dx///3s2rULLy8v/vWvf/HCCy8A5gVJk5OTueqqqzCZTIwcOZJZs2axY8eOOl+jruqSb30sXryY++67j/j4eMrLyxk4cCCrV6+26qf/yiuvMGPGDKKioggKCuK2226zzJCv8sknnzBz5kxiYmIICQlh6tSpxMbGNrrVy+OPP86sWbPw8PDAYDBQUVHBJ598wlNPPcXtt9/O6dOnad++PTfeeGOdisu28NNPP/HXX3+hVCotPeurnDhxgrZt29oljvrKy8sjOzubmHNro1Xp2LEjS5curfd47u7u9OvX76LHLFiwgPnz51fbvmbNGtzdbffJn6SkJJuN1ZxJns6nteQqedbudCm8slsFKPhXOx2H//qT2iuIzUNreT2h4bnWdRKIwtSQZoYtUFXP2sLCwnov2lSTf/pZj79kQax8/36OXXsdKh8fOm7ZXGOByGgycsW3V3Dm7BleGfEKYyNr7ltZq51L4YfZgAJu/g6iR9Xv/FrUJ8+WrLXkCa0nV8mz+dMbjJTr/5nJX9MNgKJyPQWlleQWV7D74BG8AkMpLNNTUKojv7SSglKdVZG/Nm4aFe0D3OkQ5EGnEC+6hHrTNcyLdn7uKJtZX/3Gvqa2/nnnaLbO5/86dWaqUsm3paU8dvKEDSJsvlry+0N9tLY8R40aRVpaGlFRUZb2MC3BAw88QGpqKj/99NNFjzMajRQVFeHt7Y1SqbT0Fr+wP/2FfcXPp9frUalUlkVCL7Z4bE3jX+qc+jCZTBiNRst458dflaunpydKpdIqp7rkWeX8fC8852LXt4ULn78LlZaWEhoayttvv820adNqfE3rE1fVoq9qdd3mmNUWX9UM/IZsuzCW83Oo+t6trc99eXk5x44dq/H/36b4+R0eHs4999zDI488Ytl26tQpIiIiWLlyJePGjbNsX7BgAa+88go5OTk2ufb5apo5365dO3Jycmz2t3lSUhJjxoxx+p8DkqdzaS25Sp6XOM9gZPL729h7uogRnQL54Kb4Zj2xrLW8ntD4XIuKiggMDLzkz3aZOW8HLh06gFKJobAQfXY2muDgascoFUquirqKRXsX8dPRn+pfnI+bCic3wY5P4dtZcNd68GmeszWEEAJArVLiqVLiqb30jyKdTscv+sOMHx9n9UPRZDJRVK7nTGE5GYVl5/5bzpnCck4XlnEqr5RT+WWU6QwcOFPMgTPF/LLnjOV8DxcVXcK86R3hS5/2fvSO8CPYu+UUu5xZYmIiiYmJVoUPm2i+v+cKIWpwYZG8LkXlqmJqXf6wbcj49aFQKKyuUdP4Fxbm6xvHxfKty/Ub48Lnb+nSpbi4uHDFFVdQWFjIQw89hIeHB6NGjar1nPrEpVAo6lyYr+1aQI1j1HVbbbEYjUbUanW94nMET09PwNyW53wFBQWWfbam1Wpr/PSERqOxaWHH1uM1V5Kn82ktuUqeNXtv/WH2ni7Cx03DS9f3avDC9/bWWl5PaHiudT2nef/m4CSUWi0u7dtTeewYFYcP11icB3Nrm0V7F7E+fT0F5QX4uvrW70JXvgin/4Yze2DZ7XDbz+a+9EII4aQUCgU+bhp83DR0DvWq8RidwUhafhnHc85yJLvkXJG+iEOZJZytNLD9RD7bT+TzwXrzgnXhfm70j/RnWKdAhsYEEeTVuI/ii4ZJSEggISHBMpNQCCFE8zd69Gjuvfde7rzzTkwmEwMGDGDt2rU2bV0iGsfPz4/g4GAOHTpktf3QoUN06dLFQVEJIUTrdOBMEa//Zm5g8+TVsTJRrJWS4rydaDt2tBTnPYcMqfGYGL8Yuvp3ZX/eflYfX82ULlPqdxGNG0z+FN4bAae2wq9PwhXPNj54IYRowTQqJVGBHkQFejCyyz83R/UGI8dyzrI7rZAdJ80F+kOZxaTll5GWn853f6cDEBvmzfBOQYzqEkzf9n7Nrg2OEEK0BK+++qqjQxB2EBQUxJdffmm1rardi2g+Jk2axJIlS5g7dy5ubm6cOnWK1atX88Ybbzg6NCGEaDV0BiNzv9mFzmBidNcQromT7hetlRTn7UTbsSPFa9ZQcfjiSzpc1eEq9uftZ8XRFfUvzgP4d4CJifD1zbD5LYgYCF3/1cCohRDCealVSjqGeNExxItJfcIBKC7XsfNUAZuO5LL+cDZ704tIyTD/e/ePIwR7aRnfI4zxPcKkUN/CySsnhH3Zup2KEKJmOTk5LFy4EDD3ul2zZg0lJSV06tSJW265BYD58+ezdu1aBg0axJAhQ/jpp58YPnw4t912m+MCF0KIVubddUfYm25uZ/Pctd2bdZ950bSkOG8n2o4dAag4nHrR48ZHjefV7a+yK3sXp4pO0c67Xf0vFns1DLrHXJz/IQFCe4Jf+4aELYQQrYqXq4ZhHYMY1jGIh8d1Iaekgo2pOfxxMJuk/ZlkFVfw8abjfLzpOMFeWibGteHG/hFEBzVNj1YhhBBCiPpQKBSWxWYfeughy/bz+94GBQWxY8cOfvjhB9LT03nrrbe46qqr5CaaEELYyf6MIt5YK+1shJkU5+1E2+lccT41FZPRiKKWX3yC3IMYEDqAzRmbWX1iNbN6zGrYBUc/aW5tk5YM390Bt/0CKnm5hRCiPgI9tUyMa8vEuLZU6o1sSM3m591nWJNyhqziCj5Yf4wP1h+jf5Q/U/u348ruYbhqal58TgghhBCiqQUEBPDYY49d8jh3d3emTZtmh4iEEEKcT9rZiAvJrXE7cYmIAI0GU2kp+oyMix47LmocAKuPr274BVUamPQhaL3NRfo/X2z4WEIIIXBRKxnVJYRXJvdi+2Nj+OCWvozuGoxSAduO5fGfr3Yx4LnfWLByP1lF5Y4OV1ySydEBCCGEEEIIIVqZd9YdYd9paWcj/iHFeTtRqNW4tI8AoOLosYseO6rdKNQKNQfyDnC88HjDL+oXCRNeM3/950twYlPDxxJCCGHholYyJjaED2/tx8ZHRjFnTCfa+rpRWKbjvT+OMvSF35n33W6O5Zx1dKjiQvLLrxBCCCGEEMIBDp4p5s1z7WzmX91N2tkIQIrzdqWN6gBA5bGjFz3O19WXAW0GAI2cPQ/Q43roNQ1MRvj2DijLb9x4QgghrIT5uHHf5R3586GRfHhLX/q296PSYGTptlOMemUdCV/sIOV0kaPDbHESExOJjY2lX79+jg5FCCGEEEIIIRrFaDQx77vd59rZBDMxro2jQxLNhBTn7cilg7k4X3H04sV5gHGR5tY2q46vavyFx78I/h2gKA1W3A8m+Si/EELYmkqpYHRsCMv+PZhvZg/i8i7BmEzw854MrnpzPXO+3kl6QZmjw2wxEhISSElJITk5uWkuID8KhXB6n3/+OfPmzWvyc5qLDz74gKeeesrRYVzSzJkzWbNmjaPDEEIIIezqi20n2XGyAA8XFU9NlHY24h9SnLcjbYcoACov0dYGYGS7kaiValILUjlScKSRF/Yy959XqiFlOfz9WePGE0IIcVH9Iv1ZdFs/Vj8wnAk9wzCZ4Lsd6Yx8eR3P/bKfwlKdo0NsxeSXYCGc0SeffFJtEcwDBw6wefPmeo3TkHMcoaZ89+3bx7Zt2xwUUd399ttvnDx5sl7n/Pvf/+bnn39uoogarqSkhDfffJObbrqJWbNmsWTJEiorKx0dlhBCiGYms6icF1ceAGDuFZ1p4+vm4IhEcyLFeTty6RANQMUl2toA+Gh9GNxmMABrjttgZknbPjDqcfPXKx+G3EYW/IUQQlxS51Av3prWmx/vGcKgDgFU6o28/+dRhr24lg/XH0VnMDo6RCGEcAr79+9ny5YtVttuvvlmFixY4KCImlZN+Tqz33//nWPHLj3ByZ6MRiN9+/blxIkTTJgwgfj4eJ5//nkmTZrk6NCEEEI0M/NX7KO4Qk+vcB9uGRTp6HBEM6N2dACtiUuUeea8ITsHQ1ERKm/vix4/LnIcf6b9yarjq5jda3bjP/Iy+D448hsc+xN++DfcvhKUqsaNKYQQ4pJ6hvuy5I4BrDuUzfO/HOBgZjHP/LyfZdvTeGpid/pH+Ts6xFZH5s8LYV8ffPABGRkZDBgwgB9++IH8/HyuueYabrzxRssxP//8M2+//TZ6vR4/Pz969erFPffcg5eXV7VxBg0axBdffIFOp+P6669n2bJlFBYWMmHCBADmzZvHsWPH2LdvH4MGDbKM/8477wDg5eVFz549q41/KSUlJbz33nts374dHx8fJk2axOjRowF45ZVXUKlUPPDAA5bjv/rqK5KTk3n55Zet4o+Li2PVqlWcOXOGa6+9lptvvpnly5fz3XffAXDTTTcxZsyYGmP4/vvva8y3yu+//863335LQUEBY8eO5ZZbbrno8/fFF18A8O2337J8+XLKysoYNGgQ//73v3Fz+2dm3w033MB///tfBg4caNn2n//8hyFDhnD99dcD5oL1okWLSEpKIiQkhMmTJ/PDDz/Qs2dPbr75Zst5BoOB9957j40bN+Lm5sadd95Jnz59asz34YcfJi0tjXfffZdVq8wtP3/88UeUSiXr16/niy++IC8vjy5dunDvvfcSFBRkOXfmzJlMmjSJ1NRUNmzYwLBhw5gyZQozZszgiSee4Oeff2b//v1ERETw4IMPUllZyRtvvMGxY8fo2bMnDz74IK6uNS/Wp1Ao2Lx5M35+fpbcAwMDmTZtGpmZmYSEhNR4nhBCiNblt/2Z/LLnDCqlgueu64FKKX+JCGtSnLcjlacH6pAQ9JmZVB47hluvXhc9/rJ2l6FRajhaeJTUglQ6+nVsXABKJUx8G94ZDKe2wqY3YOh/GjemEEKIOlEoFIzsHMzwjkF8/dcpXlx1gANnipn83mbuv7wj/xnTydEhtgomBdJvXjgVk8mEqcwx61ko3NzqPHlk3759LF68mIiICObMmUNWVhYzZ84kKyuL++67D4Bu3bpx1113UVpaik6n49NPP2Xp0qXs2LEDtVptNU6XLl24++67CQsLIyYmhvj4eA4fPszs2bMBiI6OZuXKlVYtarp162bZX1hYyMcff1xt/EuZNm0aWVlZ3HPPPVRUVPDyyy9z9uxZJk6cyN9//11tnMOHD7Nhwwar52HRokX07t2bmTNncujQIW6//XY+++wzjEYjt99+O4cOHWLcuHFs376duLi4ajH06tWrxnwB1q9fT2FhIXfccQd5eXncc889nD17ln//+9+1Pn8Azz77LC+88AKPP/44AQEBvPLKKyxfvpx169ZZXuOVK1cyffp0q1jWr19vVYSeN28eH3zwAU888QQeHh7MnDmTjIwM5syZY3XevHnzmDx5MldddRXr1q1jyJAhHDhwgMjIyGr5Tpw4kSVLljBs2DCuuuoqwPwz9f333+f//u//mDNnDqNGjWLVqlX06NGD3bt3ExwcDJhb6Hz77bdMmjSJyZMn06lTJ0pLS/n555/5+++/uffee5k4cSLPP/88q1atwmAwcPvtt9OrVy+efvppjh49yuLFi2v8XlAoFJbCfJUDBw4QFBSEr69vjecIIYRoXc5W6Hn8h70AzBoaRbc2Pg6OSDRHUpy3M5cOUegzM6k4eunivJeLF0PbDuX3U7+z+vjqxhfnAXzbwbjnYfnd8PtzEDMGQrs3flwhhBB1olIqmNo/gnHdQnlx9UG+TD7JwA4Bjg5LCNFCmcrKONi75hnHTa3zju0o3N3rfHxZWRkrV64kPDwcAG9vbx577DHuuOMO3NzciIyMJCIigqKiIry9vZkyZQoRERGsWrXKMkO8yurVq60KoNHR0eTn51c77nyRkZFWxd8bbrih1vFrk5SUxMqVK7nssssA88zsgoKCOp1bxc3NjZUrV+Lq6kpRURHJycns27ePI0eOoNVqAXNR+ZtvvqmxON+hQ4da89VqtaxatQoPDw8A0tPT+eqrryzF+SrnP385OTk8++yzfPjhh0ybNg2AsWPHEh0dzffff891111Xp7yysrJ4/fXXWbJkieWcQYMG0aNHj2rHjhs3jnfffReAKVOm8Ntvv/HDDz9YfeqgyuDBg/Hw8KBbt26WfAsKCvjPf/7Dzz//bHktJk+ezOjRo1m4cCHPPfec5fwRI0awaNEiy+Pjx48D8OSTT3LHHXcA4O/vz5VXXslnn33GTTfdZHkub7311lqL81U++OADfvjhB9LT09Hr9axZs8byOgohhGjdXllziNOF5YT7uXH/aBvU9IRTkp7zdqaN6gBA5dFL950HGNPe/HHW307+Zrsg4qZB5/FgqITvZ4NeFi0SQgh78/NwYcF1PVg39zIGRUtxXgjh/OLi4iyFeYCrr76avLw8Dh48CJjbgixbtowHHniAa665huuuu46KigoOHz5cbZyGzEyuGv+uu+5i4sSJtY5/Mf369ePRRx/lxx9/tBTl6xtLr169cD/vpkb79u3p3bu3VUG3ffv2ZGRk1GvcqrGrCvNgLuSfPn3a6pgLn7+dO3dSVlbG1VdfbdkWHh5O375967U47s6dO6msrLTMbgfzpxXat29f7dghQ4ZYPY6KiqoW58Vs3LiR0tJSXn31Va655homTpzI1VdfzdGjR9m7d6/VsVXF+wsNHjzY8nVVjBduKy0tpaio6KKxDBkyhLvuuotbb72VwsJCXnrppTrnIYQQwnntSSvk403m9VKeuaY77i4yP1rUTL4z7Mylg7k4X5dFYQGGhw9HrVCTWpDKyaKTRHhHND4IhQL+9bq5tU3mHvjjebj8/xo/rhBCiHprH+Bx6YNauPLycl588UW2bdtG7969eeihh/D09HRwVNLbRjgHhZsbnXdsd9i168P7gvWWfHzMH+3Oz88HzL3Fv/zyS+68807Gjx+Pu7s7Bw8e5OzZs1bn1adH/Pmqxr///vsZM2YMrq6uNY5/MStWrODNN9/khRdeYMqUKVx22WW8++67NRaga3PhrGqFQoGLi0u1bUZj/RcNr2nsC8e58PnLz89HrVZbFfXBfNMhLy+vztcuKChAq9VWi6Hqda5vnJe6llKpZNasWSiV1vPNzu85D7V/v5wfQ1XrnvNfh6ptl4orNjaW2NhYywKxw4cP54477qj1poAQQgjnZzCamPf9bowmuLpXGy7rHOzokEQzJsV5O9N2MC8KW3n0WJ2O99H60De0L1sytrD25Fpu636bbQLxDIYJr8HXt8CG16DTldCun23GFkIIIc4zb948AgMDufvuu3n33XeZN28eb775poOikabzwrkoFIp6tZZxpKMXfHI0NTUVwNJq5rPPPuPVV19l/PjxlkL+7bffXqex69L7/rPPPmPhwoWWRWirerzXh4+PD4899hiPPfYYeXl5XHPNNZaiv5ubG8XFxVbH5+Tk1Gv8uqprr/+6iIqKQq/Xc+LECau2P6mpqZbFdMHcjqe8vNzq3PPza9++PeXl5WRkZFh62RsMBk6ePNnoGC/MNzIyEqPRSERERI2tfxwlKsr8t156erqDIxFCCOFIS7adZG96EV6uah6fEOvocEQzJ21t7Kxq5nzlyZOYdLo6nTMqYhRg49Y2ALETocdkMBnh+7tA55jFxIQQQjR/JpMJg8HQoHOfe+45Hn30UcaPH89NN91EZmamjaMTQrQEx44dY8mSJYC5MP7cc88xcOBAS0HT1dWVEydOWI5/5ZVX6lzcDgoKuuR7i6urq6XfeH3HBygtLeWDDz6wvBf6+/sTFhZGZaW5RWTXrl3ZuHGjZSb+6dOn+eqrr+o8fn3UJd+6io+PJzY2lqeffhqTyXzzcsmSJRw7dowpU6ZYjuvatStr1qyxPP7uu++sXq8+ffoQExNj1e/93XfftXwyojEuzHfQoEF0796d//73v1ZtZ/7++29+//33Rl+vLnbs2MG2bdssj00mE++++y4ajYahQ4faJQYhhBDNT97ZSl5ebW7ZN3dsZ4K8ZB0ScXEyc97O1CEhKNzdMZWWUnkqzTKT/mJGtRvFc1ufY1f2LnLKcgh0C7RdQONfhOPrIe8IrHsexsy33dhCCCFavN27d/POO+/w+eefo9VqayxkHT58mLvvvps///wTd3d3pk+fziuvvGJpGeDm5sbzzz/Pjz/+SE5ODr/88ou906hGIZPnhbC77t2788wzz/DGG2+Qk5PD2bNnWbVqlWX/s88+y6xZs/jhhx8oLS3FYDBYCveXMnHiRJ5++mn69+9PcHAw8+bNq3ZM1fgrVqygqKioXuMDaDQakpOT+b//+z+6dOlCdnY2xcXF/PTTTwDMmjWLTz/9lM6dOxMTE8OpU6fo3r17tdn0tlCXfOtKpVLxySefcM0119C5c2f8/PzYu3cvb7zxBh07/rN43TPPPMPVV1/Nzp070Wg0qNVqq5n2arWaDz74gGuvvZbffvsNDw8PjEYj7du3R61u3J+dt9xyC/fffz9btmxBq9Xy448/snz5cqZMmUJUVBQ9evQgIyMDHx8fPvzww0Zdq678/f2ZOXMmaWlptGvXjiNHjqDT6fj888/r1eZICCGEc3n118MUlunoGubN9AE2aE0tnJ4U5+1MoVCgjYqifN8+Ko8drVNxPsQjhB6BPdiTs4ffT/3ODZ1usF1Abn5w1avw5VTY9CZ0uwbaxNtufCGEEC3a3LlzmThxIg8++CBvvPFGtf3l5eWMGzeOPn36kJaWRkZGBhMmTMBkMpGYmGg57pprriE+Pp5ly5Yxf/58PvvsM3um8Q/paiOEw7Rv357vvvuOlJQU8vPzGTBggNXCqNOnT2fkyJEkJycTFhZGnz592LJlCyEhIZZj7rzzzhp7xEdHR3P8+HF2795NYWEh0dHR3HzzzVaLk06fPp3LL7+cffv24ePjQ3x8fLXxLzznfBqNhvfff5+cnBz27t2Lt7c3PXv2tBSevb29SU5OZufOnRiNRnr06MHp06etZnzXFP/dd9+NXq+32jZ37tyLtq6pKd+axh4/fjydO3e+5PPXt29fjh49yl9//UVZWRnx8fH4+/tbHTN8+HCOHTvG7t27CQ4OpnPnzmzatMnSwgbMi68eP36cv/76i5CQELp06UJ4eLhVH/iPPvrIqugP8NRTT110LYFZs2YxZswYDh8+THl5OQqFgg4dOpCcnExKSgrp6elERkYSExNj9bzVdK2QkBBWrFhBmzZtLNvatWvHihUrCAz8ZxJUx44dWbFiRa1rpERGRvLbb79x/Phxjhw5QnBwMKGhoQQEyCLvQgjRWp0oga/3mlubPTWxG2qVNCwRlybFeQdwad/eXJw/fuLSB58zKmIUe3L2sPbkWtsW5wG6jIdu18G+72D5vXDn76DS2PYaQgghWqSqFgYLFy6scf/333/PiRMn2Lp1K4GBgQQFBfH4449zzz338Nxzz+Hj48M333zDDTfcQJcuXQgODrZqkyCEaF1cXFwu2iM8NDSUESNG4O3tjVKpZMiQIVb7Y2Nr79vq4+PDsGHDrMaqafzzt184/vmF7NoEBgbWutinRqOhX79/1nGKiYkhJibmovH36NGj2qKmdemjXpd8IyIiiIj4Z9bexZ4/FxcXBg8efNFr+vn5MWLECMvjC9u3bNq0iY4dO3L55ZcD8N5775GXl8fw4cMtx4waNarauP3797/odcF8c6emGelVC7LWpKZrubm5MWHCBKttHh4e1bb5+PhU21aTyMhISw/881vsCCGEaF2MRhPLjqowmeC6+Lb0i/S/9ElCIMV5h3CJNP9SWVmPxZFGRYzi9R2vszVjKyWVJXi61DyDo8GufBGO/g6Ze2Dj6zB8rm3HF0II4ZQ2bdpEbGys1WzDUaNGUVlZyfbt2xk1ahR79+7loYceIjg4mNTUVF599dVax6uoqKCiosLyuKrQodPp0NVxrZaLOm/WvE3Ga8aq8pM8nUNVfnq9HpPJhNFoxGg0OjiqujOZTJa4L3Vc1X9bUn4N4Yy5qlQqBg4cSFhYGIWFhZw8eZIPP/yQNm3aOFWeNanL62k0GjGZTOh0OlQqldU+Z38PE0IIZ7dsRzonzyrw0Kp4ZHwXR4cjWhApzjuA5tzslcoTdZ8538GnA5HekRwvOs6G9A2Mixpn26A8g2DcC/D9nfDHC9D1agjqZNtrCCGEcDqZmZlW7QoAgoODLfsA5s+fz+zZs0lPT6dTp054e3vXOt6CBQuYP7/6+idr1qyxan/RUBW6SlBrwGRqFr3v7SEpKcnRIdhFa8lz06ZNhIaGUlJSYlmItCWYOnUqpaWldZ5Z3BR92psrZ8q1c+fObNy4kX379mEymejcubOlXY0z5XkxF8uzsrKSsrIy/vzzz2qtjEpLS5s6NCGEEE2koLSSl5MOA3D/qBiCvVwdHJFoSaQ47wAuEVUz5+tenAe4POJyFu1dxG8nf7N9cR6g52TY8w2kJsGP98Dtqy59jhBCCHGBqhmD5/f9DQsLs+pLXJt58+YxZ84cy+OioiLatWvH2LFjL1rUr6vkRx8FvQEl5l7Mzkyn05GUlMSYMWPQaJy3XV1ry3Pw4MFkZGTg6emJq2vL+cOvLm1LwDzruLi4GC8vr4v2XHcGzpqrt7e35SYtOG+eF6pLnuXl5bi5uTF8+PBq//9KSxwhhGi5Xl5zkPxSHaFuJm4a0M7R4YgWRorzDlDV1kafcQZjRQVKrbZO542MGMmivYvYkL4BnVGHRmnjP0AVCpjwGrw9EE5theQPoffttr2GEEIIpxIWFsb+/futtmVnZwM19z++FK1Wi1arJTExkcTERAwGA2Du42yTwqtSBRhQmExOXcg9n82eu2auteSpVqtRKBQolcpqfcqdwfk395wxv/O1llwlz38olUoUCkWN71et4f1LCCGc0d70Qr7Yam5bfUOUAY0sAivqSb5jHEDl54fS0xNMJnSnTtX5vB6BPfB39adEV8LOrJ1NE5xvOxj9pPnrX5+EovSmuY4QQginMGTIEFJSUsjKyrJs++2339BqtfTp06fB4yYkJJCSkkJycrItwvzHudmMivObzwvRglTNyK3qby2EaDnk/1shhHAuJpOJp1akYDLBVT1CifFxdESiJZLivAMoFApc2td/UVilQsnQtkMB+OPUH00SGwB9Z0K7gaA7i2rN/5ruOkIIIZo9o9GIXq+3zAjU6/VWfXInTpxIdHQ0d955J2lpaWzbts3SY76qz3BDJCYmEhsbS79+/Rqdg5VzsxlVKJx6YULhvNRq8wdfpT+1EC1P1f+3MkteCCGcw6q9Z9h2PA9XjZKHr5B1G0XDSFsbB3FpH0H5vn1UHq9f3/lh4cP48ciP/Jn+J3P7zW2a4JRKc3ub94ahPPgzIR06Ac7dl1cIIUTNrr32Wn7++WfL46oeubt27aJbt25otVpWr17NvffeS2xsLO7u7kyfPp3nn3++UddNSEggISGBoqIifHxsOAXlXHFeqTDfeHDmFgvCOalUKnx9fS2fVnF3d3eqPt5Go5HKykrKy8ud/v/P1pKr5GmeWVlaWkpWVha+vr6oVCoHRSmEEMJWKvQGFqw8AMCdwzoQ5uPK3w6OSbRMLao4bzQa2bVrF0qlkp49e7boP0Q07Ru2KOzgNoNRK9QcKzzGqeJTtPNqooUmQmJhUAJsfJ2eaZ9B5QOg8W2aawkhhGi2li9ffsljoqKi+Omnn+wQjQ0ozb87KFFgMBgss5CFaEmq1nM4v52UszCZTJSVleHm5taif9evi9aSq+T5D19f3watx9Ic5eXlcf/995OUlERBQQFLly7l2muvdXRYQghhNx9vPM7JvFKCvbTcNSIapG2maKAW8xdpRkYGkyZNory8nIKCAsLDw0lKSkJbx8VUmxuXiHPF+RP1K857u3gTHxJP8plk/kz7k+ldpzdFeGYjHsa051vci9IwbHwVxj7VdNcSQgghznPhgrA2Y2lrg+3HFsJOFAoFYWFhBAcHo9PpHB2OTel0Ov7880+GDx/u9K0/WkuukqeZRqNxqhnzN998M56enmzfvp2AgABcXFwcHZIQQthNTkkFb61NBeDBKzrjoVU73e9kwn5aTHE+Pz+f119/nX79+qHX6+nRowc7duxg0KBBjg6tQVzaRwCgO1H3nvNVhrcdbp/ivIsHhisWoP7mZpRbEiFuKgR3bbrrCSGEEOc0dVsbhUJ6zouWT6VSOVWxD8w56fV6XF1dnbqQC60nV8nTMUpKSti1axft27cnPDy8xmNOnz5Neno6MTEx+Pn51XnsrKwsfv31V06fPk1AQICtQhZCiBbjtaRDFFfo6d7Wm0m9a36PFaKubNb0r7KykiVLljB37lx27NhR4zFnzpzh9ddf57HHHuPbb7+1Wq2+rKyMVatW1fivrKzMalG4srIyjEYjXbp0sVX4dle1IKwuIwNjZWW9zh0ePhyA5DPJlOqadjEwU6cryfDpjcKoh5/mgEk+piOEEKIFU8jMeSGEEM4rLS2NhIQEOnbsyMiRI/n888+rHaPX67nllluIjo7mtttuIywsjOeee86y32Aw4OrqWuO/TZs2cerUKaKiopgzZw7+/v6MHDmSI0eO2DNNIYRwmINnilm6zTzR9vGrYlEqnbdlm7APmxTnV6xYQYcOHfjxxx955ZVXSElJqXZMSkoK3bp1Y9WqVej1eh544AGuu+46S4G+qKiIhQsX1vivqKjIMk5hYSHXX389b731Vr3u7jc3Kn9/lB4eYDKhO3WqXudG+UQR7hmOzqhjS8aWJorwH3vCb8KkcYeTm2Dnkia/nhBCCJGYmGh1Y95mzlsQVorzQgghnM2RI0eIjY3l4MGDBAcH13jMK6+8wsqVK0lJSWHfvn388ssvPP7446xZswYwfwqgoKCgxn+DBg3C39+f1NRUbrvtNo4ePcqIESN48MEH7ZmmEEI4hMlk4pmfUzCaYFy3UAZ0kE8PicazSVubDh06sGPHDoKDg/nqq69qPGbOnDn06dOHX375BYVCwW233UZsbCw//vgjEydOJCQkhFWrVl30Ounp6UydOpVnn32WYcOG2SJ0h1EoFLi0b095SgqVJ06ijY6u17nDw4ez5MAS/kz7k1ERo5owUihzCcQ47EFUa+dD0uPQZTy4tdwbI0IIIZq/pmtr88+CsNLWRgghhLMZMWIEI0aMuOgxH330ETfddBNRUVEAjBo1isGDB/PRRx8xduxYAFxdXWs9PzIyks6dO+Pr64u3tzdeXl4XveFdUVFBRUWF5XHV5Lu//voLT09Py3ZfX1+ioqIoLy9n//791caJj48H4ODBg5SW/vMJcp1OR3FxMTqdjuzsbNLS0qzO8/T0pGPHjhgMBnbv3l1t3O7du6PRaDhy5IjVxECANm3aEBISQn5+PsePH7fa5+rqSteu5ravf//9d7Vxu3TpgpubGydOnCAvL89qX3BwMG3btqW4uJjU1FSrfWq1mh49egCwZ88e9Hq9Jc8jR46Ql5eHv78/6enp1RYG9/f3p3379pSVlXHgwIFqMVU9h/v376e8vNxqX2RkJH5+fmRmZnL69Gmrfd7e3kRHR6PT6di7d2+1cXv27IlKpeLw4cOUlJRY7QsPDycoKIi8vDxOXLDmnru7O507dwb+eQ6r8ty2bRs9e/bE1dWVY8eOUVBQYHVuaGgoYWFhFBUVVfvkhouLC926dQNg9+7d1b4/O3bsiKenJ2lpaWRnZ1vtCwgIICIigtLSUg4ePGi1T6FQEBcXB5gnoJ7/fQ0QFRWFr68vZ86cISMjw2qfj48PHTp0oLKykn379lXLtW/fviiVSg4dOsTZs2etzm3Xrh2BgYHk5ORw6oLJnR4eHnTq1Amj0ciuXbu4ULdu3XBxceHo0aMUFhZa7QsLCyM0NJSCggKOHTtmtU+r1RIbGwvAzp07rTpfAHTu3Bl3d3dOnjxJbm6u1b6goCDCw8MpKSnh8OHDVnm6urrSs2dPAPbt20flBZ0koqOj8fb2JiMjgzNnzljta+h7BED79u3x9/dv9HvE2j0n+HX9AdQqBVeGmr+Hqt4jDh8+bMlTo9HY/T2iSkxMDF5eXk32HpGWlmaVJ9j3PeJ8Xbt2bdL3iOPHj1fLtT7vERf+v1EbmxTnqxKqTUlJCb/++iuLFy+2rFzfpUsXBgwYwA8//MDEiRMveY1jx45x2WWXMXv2bM6ePcuqVavo3bt3rbMBavsFQKfT2WSRhqoxGjOWul07SEmh7OhRXIcNrde5g0MHW4rzlZWVlufV1qryq4ifidvuL1HkHMSw9jmMY5+7xJktiy1ez5aiteQqeTqX1pInND7X1vAcNUrVzHlk5rwQQojW5+zZsxw6dIjHH3/canv//v356aef6jSGQqFg8eLFTJ8+nSNHjtCzZ08+++yzWo9fsGAB8+fPr7b98ssvt3o8YsQI/vOf/5CRkcG///3vasf/8MMPADz88MPVCiIPPPAAXl5e/PLLL7z//vtW++Li4njyyScpLS1l2rRp1cb95JNP8PHx4dlnnyU5Odlq3+23387EiRPZuHEjL730ktW+Dh068OqrrwJw/fXXVyuQvfHGG0RERPDWW2/x66+/Wu2bNGkSN998M3v27Kn2WgQEBLBo0SIAZs6cWa24U1paSo8ePfjss8/49ttvrfaNHj2ae+65h5MnT3LfffdZ7VOr1SxbtgwwT548evSo1f4HH3yQIUOGsHz5chYvXmy1r1+/fjz66KMUFhZy6623cqElS5bg7u7Ok08+yc6dO6323XnnnYwfP55169axcOFCq32dO3fmhRdeAOCaa66pNu4777xDWFgYr732Gn/88YfVvilTpjB16lT+/vvvat9foaGhvPvuuwDccsst1W66PP/883Tp0oWPPvqIH3/80WrflVdeyV133cWRI0f473//a7XPzc2NpUuXAnDvvfdWK5T/73//o3///ixbtqxaS6nBgwfz0EMPkZOTw6xZs6rl+s0336DRaHj00UctxfsqCQkJjBkzhqSkJBITE632devWjWeffRadTscNN9xQbdwPP/yQwMBAXnzxRTZt2mS176abbuL6669n27ZtVq2twHxD4M033wRg6tSplJWVWe1/5ZVXiI6O5r333mPlypVW+66++mpmzJjBgQMHeOSRR6z2eXt78+mnnwIwe/bsagX4J554gvj4eJYuXVpt8m9j3yMuu+yyRr1HPPPss/x13nvENR81z/eIp59+Wt4jaJ7vEbWxy4KwR44cwWAwEH3B7PDo6GgOHTpUpzHOnDlD165d+eOPPyxP+BNPPFFrcb62XwDWrFmDu7t7PTOoXVJSUoPPDdBVEgAc2bCerKDAep2rM+nQoCG7LJvFPy0mVBXa4DjqImntOoJ8JjI450UUyR+yvjiSYjfnW/SiMa9nS9NacpU8nUtryRManuuFs0TEBZTmxTNVCoUU54UQQrQ6+fn5ANUWcg0ICKg2c/Ni+vfvT0pKCiaT6ZITxebNm8ecOXMsj4uKimjXrh2//fZbrTPne/fuXW2cqhmd0dHR1WbOHzt2jDFjxtCvXz9mzpxpdd75s2K3bt1abdyqWbGdO3eudeb8oEGDuP766632nT8rduPGjdXGrZoV261bt1pnxQ4bNszyaYUq58+KXbNmjdXM+a1btzJ9+nT8/f3p1asXDz30kNW558+KHTBgQLWYqp7Dquf5fFWzYvv06cPs2bOt9p0/K7amtf+qZsV27Nix1lmxAwcOZOrUqVb7zp8VW/XaVOU5YMAAy8z5rl271jordujQoYwfP95q3/mzYteuXVvrrNiePXvy6KOPWu07f1bs0KHWkyjPnxUbGRlZ68z53r17c++991rtO3/mfNXre36uVTPnY2Jiap05379/f2655RarfefPnK/p+7tq5nyXLl1qnTk/ePDgapNmz585/8cff9Q6c7579+61zpwfPnw4I0eOtMrz/JnzK1eurHXmfHx8vNX7BjT8PQL+mTnfmPeI1Eof0n7ehbermnemxeHpqrF6j5g4caIlzwtnztvjPaJK1cz5pnqP6NmzJ927d7fkCfZ9jzhf1cz5pnqPiI2NZcSIEVa51uc9Ijc3t9qN6JrYpThf9T+Ft7e31XYfH59qbzq1GTRo0CXb3pyvtl8Axo4dWy2OhtDpdCQlJTFmzBjLC1RfRRUVZK39nTYqFX0v+Eapi19//5WNGRtRx6gZ37X+59eFdZ7jMS5LQXnwJy4rX4Xhum+hiWbs25stXs+WorXkKnk6l9aSJzQ+1wv/qGypEhMTSUxMtHkBXWFpa4O0tRFCCNHqVP1ucWHRpaysDBcXl3qPV5dPcGu1WrRabbXtffv2rfFvc41GQ//+/Wsdr3v37laPdTodOTk5aDTmQlmbNm1qPO9S49ZUUKoSHBxc68RA4KLjxsTE1LrP39//oueeX4CsytPf3x+NRkNkZCSRkZE1nnepXKuKozUJDw8nPLzmiXiXGreqmFuTkJAQQkJCat1fNW5Vnv3797d8v3bq1KnW8wICAqrdbDpfnz59at0XFRVlae90IR8fn4vm2qtXr1r3tWvXjnbt2tW47/znsKZcL9aZIiwsjLCwsFr3XyzeqgJnTYKCgggKCqp1/8XWgIqOjq42EbeKn58f/fv3rzFPwFLErElERAQRERE17qvve8T5GvoeUVqp56tDerShMTw8IZZRQ62/b4KDg/Hz86sxT7DPe8SFmvI9Ijo6usY87fEeUZOmeo+IjIysNde6vEfU9W9zuxTnq+6GX3gXo6CgAC8vrya5Zm2/AGg0GpsWdhoznmtEewD0aekNGmNo+FA2Zmxk65mtzOw589InNIIlz3HPwZFfUR7/E2XqKoi9ukmva2+2/v5ozlpLrpKnc2kteULDc3WW56fpes6bZ87LgrBCCCFao6CgINzd3UlPT7fanp6eXmshTAghWrvFG4+TVVxBuJ8b0wfKe6WwLaU9LhITE4NGo6nW8+nAgQOWj3i0Rppzd6N1p09jasDsvcFtBgOwPXM7ZfqySxxtI37tYfC5vlSrHwWdna4rhBBC2IBCZf7VR4W0tRFCCNH6KJVKRo0aZdVDt7KykpUrVzJmzBgHRiaEEM1T3tlK3l1nXlD0wSs6o1WrHByRcDZ2Kc67ubkxYcIEPvroI0svpOTkZHbs2FHjghWthSY0BNRqTDod+gtWUK6LKJ8oQj1CqTRWsiNzRxNEWIuh/wHvcCg8CRvfsN91hRBCiMY6tyCsAmlrI4QQwvmUlZWxYcMGNmzYQGVlJSdOnGDDhg1WC0zOnz+f9evXc//997NixQpuuOEGlEpltcUBhRBCwFtrUymu0BMb5s2/etbcEkeIxrBJcf7w4cPMnTuXuXPnArB06VLmzp3LN998Yznm1VdfJS0tjYEDB3L77bczbtw47rzzzlZ9d16hVqM51y9Ml5ZW//MVCsvs+Y2nqy8u0WRc3GHs0+avN7wGBXVbfVgIIYRwNIVKFoQVQgjhvLKzs3nkkUd45JFH6NSpE3v27OGRRx5h8eLFlmN69+7Nhg0byM/PZ+HChYSHh7N582YCAwMdGLkQQjQ/p/JK+WzLcQAeubILSqVzrLsomheb9JzXarWEhoYC8NJLL1m2n98jNjIykr179/LTTz+Rm5vLrFmzGDJkiC0u36JpwtuiO3WKyrQ03Pv2rff5g9sM5rvD37H59OYmiO4iul0LyYvgxAZIehxu+Ni+1xdCCOHUmm5B2HM955Ge80IIIZxPREQEGzZsuORxffr04dNPP7VDREII0XK9mnQIncHE0JhAhneqfdFcIRrDJsX5iIgIy6z5i/Hy8mLq1Km2uKTTcAkPpxTQpaVf8tiaDAwbiFKhJLUglTNnzxDqEWrbAGujUMCVL8B7w2Df9zDwbmhX+yrFQgghRH003YKw5g8NKhXS1kYIIYQQQghRs32nC/lhp7lW9/C4Lg6ORjgzu/ScF7XTtD23KOyphrWG8dH60D2gO4D9Z8+Hdoe46eavV/8PTCb7Xl8IIYSoJ1kQVgghhBBCCHEpL6w6iMkEV/dqQ49wG04WEuICUpx3ME24uThfmV7/nvNVBrUZBMCm05tsElO9jHoMNO6QlmyeQS+EEEI0Y1U95xVIWxshhBBCCCFEdZtSc/jzUDYalYK5Yzs7Ohzh5KQ472Au4W2Bhre1ARjS1ty7f3PGZgxGOxcavEJhyP3mr399EvQV9r2+EEIIUQ8KtQYAtUKBXq93cDRCCCGEEEKI5sRkMvHSmoMATOsfQUSAu4MjEs5OivMOVjVzXp+ZibGyskFjdA/sjqfGk8KKQvbn7bdleHUz+F7wCoOCE7DtfftfXwghhKgjlasWAI1CQWUDf+4KIYQQQgghnNPvB7P4+2QBrholCaNiHB2OaAWkOO9gqoAAFG5uYDKhP326QWNolBr6h5oXY92SscWW4dWNi4e5vQ3Any9BaZ79YxBCCOFUEhMTiY2NpV+/fjYdV+niApiL8xUV8mkvIYQQQgghhJnRaOKVNYcAuHVwJMFerg6OSLQGUpx3MIVCYWltU3mq4X3n+4eZi/PbMrbZJK566zUVQrpDeSH88aJjYhBCCOE0EhISSElJITk52abjqrTmmfMuMnNeCCGEEEIIcZ7V+86w73QRnlo1s4dHOzoc0UpIcb4Z0LQ1t7bRNWJR2AGhAwD4O+tvKg0OKDYoVTD2GfPXyR9A7hH7xyCEEEJcQlVxXtraCCGEEEIIIaoYjCZeSTLPmp8xNAo/DxcHRyRaCynONwNVfed1aQ0vzkf7RuPv6k+5oZzd2bttFVo9gxgJHceCUW9eHFYIIYRoZtRuboC0tRFCCCGEEEL848dd6aRmleDjpmHWsChHhyNaESnONwOaqrY2aekNHkOhUFhmzyefsW0LgHoZPR9QwP4fIX274+IQQgghaqB2NfeNVCsUVJaXOzgaIYQQQgghhKPpDEYW/noYgLtGdMDbVePgiERrIsX5ZsDFBjPn4Z++81vPbG10TA0WEgu9bjR//dtTjotDCCGEqEFVcR5AX1bmwEiEEEIIIYQQzcGy7WmcyC0l0NOF2wZHOjoc0cpIcb4ZsEVbG4D+oebi/K7sXZTpHVhwuGweKDVwdJ35nxBCCNFMVLW1AdBJcV4IIYQQQohWrVxn4I3fzLPm/31ZDO4uagdHJFobKc43A1XFeUNBAYaSkgaP086rHaEeoeiNev7O+ttW4dWfX3voO8P89a/zwWRyXCxCCCHEeTRWM+elrY0QQgghhBCt2ZfbTpJRWE6otyvTB0Q4OhzRCklxvhlQeXqi9PYGQJ+R0eBxFAqFZfb8toxtNomtwYbPBY0HnN4B+1c4NhYhhBAtTmJiIrGxsfTr18+m47potejO3TTWV0hxXgghhBBCiNaqXGfg7XVHALhnVAyuGpWDIxKtkRTnmwlNmzYA6BpRnAcYEGZeFHbbGQcX5z2DYdDd5q/XPgMGvWPjEUII0aIkJCSQkpJCcrJtFznXarVUmoyA9JwXQgghhBCiNfsq+RRZxRW08XFlct92jg5HtFJSnG8mNGFhAOhOn27UOFUz5/fl7qO4srjRcTXK4HvBzQ9yDsLuLx0bixBCCAG4uLigO9dtzVBR4dhghBBCCCGEEA5RoTfwzrlZ8/8eGYOLWkqkwjHkO6+Z+Kc437iZ86EeobT3bo/RZGR75nZbhNZwrj4wdI75698XgE7aBwghhHAsc3HeXJ2X4rwQQgghhBCt09fJpzhTZO41P7lvuKPDEa2YFOebCU2bc8X5Rra1AegXau7PuzVja6PHarT+d4BXGyhKg78WOToaIYQQrZy5rc254ry0tRFCCCGEEKLVqdD/02v+35dFo1VLr3nhOFKcbybUVTPnMxrX1gZgQKi573zyGdv26W0QjRtc9oj56/WvQuVZx8YjhBCiVXN3d6fMeK7nfGmpg6MRQgghhBBC2Nuy7WlkFJYT4q1lSj/pNS8cS4rzzUTVgrD6Rra1AegT0geAQ/mHKKosavR4jRY3DfwioTQHkj90dDRCCCFaMQ8PD0rPFecNJXLDWAghhBBCiNakUm/k7d/Ns+Znj4jGVSOz5oVjSXG+magqzusyMzHp9Y0aK8g9iAivCEyY2Jm10wbRNZJKA8MfMn+98XWoKHFsPEIIIVotT09PS3HeWCYz54UQQgghhGhNvt2RRnpBGUFeWqb2j3B0OEJIcb65UAcGgloNBgP67OxGj1c1e97hi8JW6TkF/DtAaS4kf+DoaIQQQthRaWkpL730ErNmzWLx4sUYzxXHHcHDw4Oycz3nTdJzXgghhBBCiFZDZzCS+HsqILPmRfMhxflmQqFSoQkJAWyzKGyzK86r1DDiYfPXG1+HimLHxiOEEMJurrnmGrKzs+nfvz8vvvgiL7/8ssNicXd3t8ycV1RUOCwOIYQQQgghhH19tyONtPwyAj21TJNZ86KZUDs6APEPTZs26NLT0Z3OgN6NG6uqOL8vZx9l+jLc1G42iLCRul8Pf74Euamw9T0YPtfREQkhhLCDzz//nODgYABcXFxYv369w2JRKpVUKhTmB1KcF0IIIRpk/fr1vPjii+Tl5TFs2DCeeuopXFxcHB2WEELUSm8wkniu1/xdwzvg5iKz5kXzIDPnmxFNmzAAdBmnGz1WW8+2BLsHozfp2ZO9p9Hj2cT5s+c3vQnlzWCxWiGEEBd1+vRp5s+fT3R0NJ07d67xmIyMDG6++WYiIiLo2rUrzzzzjFXrmqrCfFlZGZ988gl33XWXXWKvTaXS/OuPqlLn0DiEEEKIlkiv13P11Vdzww038OKLL7J161beeustR4clhBAX9fOeDE7mleLnrmH6QJk1L5oPKc43I+qwc8X5040vzisUiubX2gag+yQI7ATlBebZ80IIIZq1q6++Gr1ez3XXXUdubm61/Xq9niuuuIKMjAx+/vlnXn/9dRYuXMjjjz9udVxBQQHXXnstDz74IP3797dX+DXSqc4V53VSnBdCCOG8cnNzKbvI+iomk4ni4vq3G9Xr9bi4uHDNNdcwZMgQBgwYgE5+pgohmjGj0cTb52bNzxgShbuLNBIRzYcU55sRTVgbAPSnG99zHqBvSF+gmRXnlap/Zs9vfhPKCx0bjxBCiItKTk7m6aefpm3btjXuX7FiBXv37uWTTz6hR48ejB07lieeeIKFCxdy9uxZAE6ePMlVV13F//73P8aPH2/P8GukU5l/GVcbDA6ORAghhLCt4uJi3nzzTbp160ZQUBCvv/56jcc999xz+Pv7ExAQQHh4OF9//bVln8FgIC4ursZ/O3fuxNXVlddee42OHTvSsWNHNmzYwH333WevFIUQot7WHsjiYGYxnlo1twyKdHQ4QliRW0XNyD9tbWxTnK+aOb8rexc6gw6NSmOTcRut27Xm3vPZB2DLu3DZw46OSAghRC0UVf3Za/Hnn3/StWtXq+L92LFjue+++9i+fTvDhw9n3LhxuLi48Pbbb/P2228TFxfHI488UuN4FRUVVJzXC76oyNwCTafT2WRWnk6nw6Ax//rjYjRSXl6OSuWc/Sarni9nn80oeTqX1pIntJ5cJc/6nd9Yv//+O4cOHeLrr7/miiuuqPGYjz/+mGeffZYVK1YwYsQIPvjgA6ZNm0Z0dDR9+vRBpVLx8ccf13hux44dyc7O5rHHHuPtt9+mTZs2LFy4kNdff73Wn+1CCOFIJpOJt35PBeCmge3xcW8mtTEhzpHifDOiaWOeOW+r4nwHnw74af3Ir8hnX+4+4oLjbDJuo1XNnl92O2x5GwbdDVovR0clhBCiAU6fPk1ISIjVtqrHGed+ni1YsMDqY/Vh59q41WTBggXMnz+/2vY1a9bg7u5ui5DRqTWg1+OlVPLtt9/i6elpk3Gbq6SkJEeHYBeSp3NpLXlC68lV8ry40tJSm1z/6quv5uqrr77oMW+++SZTp05l1KhRAMyePZt3332Xt99+m0WLFgEQFxdX6/n79+9Ho9Hwr3/9CxcXF/bu3cuaNWtqPd4eN97P/6+zkjydT2vJ1dF5bjmax85TBWjVSm4dGN5kcTg6T3tpLXmC/W68S3G+GdGEhgJgLC7GUFyMyqtxBWuFQkF8cDxrT61lR9aO5lOcB4idCAEdIfcwJC+CoQ84OiIhhBANYDKZqs08V6vNv15ULQo7ceLEOo83b9485syZY3lcVFREu3btGDt2LN7e3o2OV6fTkfTss1BUjLdKRe9+/YiKimr0uM2RTqcjKSmJMWPGoNE47wwhydO5tJY8ofXkKnnWTVXBuqmVl5ezc+dO7r33XqvtI0aM4LfffqvTGHFxcXTp0oU2bdoQEBBAfn4+y5Ytq/V4e9x4B7kB5GxaS57QenJ1VJ6JKUpASf8APdv+rNv7XGPI6+l8mvrGuxTnmxGlhwcqHx8MhYXoMjIaXZwHc2ubtafWsj1zOzO6z7BBlDaiVMGwOfDDv2FzIgy4CzRujo5KCCFEPQUFBXHo0CGrbdnZ2ZZ99aXVatFqtSQmJpKYmIjhXF94jUZjs6KO0cMDiorxUakoLi526mIR2Pa5a84kT+fSWvKE1pOr5Hnp8+whLy8Po9FY7Wd0UFCQ5ef3pajVapYvX86ZM2coKiqiffv2aLXaWo+3y413uQHkNFpLntB6cnVknrvSCjm0eStqpYKnbxpBW9+mqzvJ6+l87HXjXYrzzYy6TRtzcf70aVw7dWr0eH1CzX3n/878G4PRgErZjPrq9rgB1i2AgpOw4zMYcKejIxJCCFFPAwYM4P333yc/Px8/Pz8A/vjjD9RqNb17927wuAkJCSQkJFBUVISPj4+twgVA4eUFGWfwUSrJy8uz6dhCCCFEc1a1lozhgkXR9Xo9SqWyXmOFhoYSeu7T3xdTdeP9Qra+YSM3gJxLa8kTWk+ujsjz/fXHAbg6rg2RQY2/GVgX8no6n6a+8V6/n76iyVX1ndfbqO98Z7/OeGg8KNYVc7jgsE3GtBmVBobcb/564+ugr3RsPEIIIept0qRJBAcHM3fuXEpLSzlx4gTPPvss06dPx9/fv8HjJiYmEhsbS79+/WwYrZnyXLHfW6UiLyfH5uMLIYQQzVVQUBAajYbMzEyr7ZmZmRddE0YIIVqaQ5nFrEnJRKGAuy+LdnQ4QtRKivPNTFXfed1p2xTn1Uo1PQN7ArAra5dNxrSpuJvAMxSK0mD3V46ORgghxAWmT59OYGAgjz32GHl5eQQGBhIYGMiBAwcA8PDwYOXKlezatQtfX186duxI//79SUxMbNR1ExISSElJITk52RZpWFH7+gKgUigotNHNcCGEEKIlUKvVDBo0iF9//dVqe1JSEsOGDXNQVEIIYXvvrjsCwBWxocQEN75ttBBNRdraNDPq0BAA9FmZlziy7uKC49icsZmd2TuZ0mWKzca1CY0rDL4H1jwGG16DuGnmfvRCCCGahXfeeYfKyuqfbKpqYQPQs2dP/vrrL86ePYuLi0uz/3iju7c3pUYj7kolZzNt9/NWCCGEcDSDwUB+fj5gXpi9tLSUnJwcXFxcLP3d582bx4QJE3jnnXcYPXo0b7/9NpmZmdx///2ODF0IIWwmvaCM5btOA3D3SJk1L5o3mTnfzFhmzp+xYXE+KA6AnVk7bTamTfW5Hdz8IO8I7Pve0dEIIYQ4j7e3t2W2/Pn/VKrqN1I9PDxsVphvyrY2Xl5eFJ7rtVtWx8XvhBBCiJbg2LFjdOnShS5dulBZWcnbb79Nly5duOOOOyzHjBs3ji+//JLFixdz2WWXsXv3bn799Vc6dOjgwMiFEMJ2PtpwDIPRxODoAHqG+zo6HCEuqkXOnH/00Udxd3fn0UcfdXQoNqcOOTdz3oYz+XoE9UCBgrSSNHLKcgh0C7TZ2Dah9YSBd8Pvz8L6V6HbdVDPxYiEEEI4l6ZcENbT05NCg4EwjYZK6TkvhBDCicTExJBTh59t119/Pddff70dIhJCCPsqLNPx5baTANw5XG46iuavxVVAP/zwQ44ePcr69esdHUqT0JwrzusyMzGZTDYZ08vFixi/GKCZ9p0H6H8HuHhB1j44tMrR0QghhHBifn5+ZBv0ABikOC+EEEIIIYTTWLL1JGcrDXQO8WJEpyBHhyPEJbWo4vz+/fvZvn07M2fOdHQoTaZq5ryprAxjUZHNxrW0tsneabMxbcrND/rPMn+9/mWw0Y0JIYQQLVNTtrXx8PAg79yPGUVBgc3HF0IIIYQQQthfhd7A4o3HALhjeAcUCoWDIxLi0mxSnNfpdHzzzTeMGjUKX19fvv766xqPe/vtt+nRowehoaFceeWV7Nu3z7IvOzvb8tG6C/9lZ2dTXl7OU089xcsvv2yLkJstpasrKl9fwDx73lbiguOAZtx3HmBgAqjdIH07HN/g6GiEEEI4UEJCAikpKSQnJ9t8bIVCQZmbGwAuJWdtPr4QQgghhBDC/pbvPE1WcQUh3lqu7tXG0eEIUSc26Tn/1ltvsXHjRv73v/8xZswYKisrqx3zwQcfMHfuXD755BPi4+N5+umnGTVqFPv378ff3x8PDw9uvPHGGsf38PDglVdeITU1lVtvvZWsrCwOHTrEE088wfz5822RQrOiDg3FUFBg7jvfqZNNxqyaOb8vdx+VhkpcVC42GdemPIMgfjokfwgbX4eoYY6OSAghhJMyeHvD2bP4GAyUlZXhdq5YL4QQQgghhGh5TCYTH/x5FIDbh0Thom5RzUJEK2aT4vwDDzzAf/7zn4ses2DBAu6++25uuOEGwFysDw4O5sMPP+Shhx7C3d39ogvSTJgwgc6dOwOwZ88eiouLGTVqlC3Cb3bUIcFUHDiA7swZm43Zzqsd/q7+5JXnkZKbYplJ3+wMSoC/PoLUJMhMgZBYR0ckhBDCCSkCAuDsWYLVajIyMujQQRaLEkIIIYQQoqVadzCbw1kleGrVTBsQ4ehwhKgzmxTnL9XDKT09nWPHjnH55Zdbtrm4uDB8+HA2bNjAQw89dMlr9OrVi169egHg6+vL1q1bGTFiRK3HV1RUUFFRYXlcdK5/u06nQ6fTXfJ6l1I1hi3GupAqKBiAitOnbTp+z8CerEtbx44zO+jm161O5zRlnjXyaoeqy79Q7l+OcePrGP71ll0ua/c8Hai15Cp5OpfWkic0PldneY4SExNJTEzEYDA0yfiuYWFw8iRBajWnT5+W4rwQQgghhBAt2PvnZs1P7d8Ob1eNg6MRou5sUpy/lPT0dABCzi12WiU4OJidO3fWe7yePXvy2GOPXfSYBQsW1NjyZs2aNbi7u9f7mrVJSkqy2VhV/AsLCQSO/7Wdrb/8YrNxteVaAFbvXU3AsYB6ndsUedbG1xDPCJbD7m9YaxhIuYu/3a5tzzwdrbXkKnk6l9aSJzQ819LSUhtH4hgJCQkkJCRQVFSEj4+Pzcf3iGgHW7cSpFaz98QJGDrU5tcQQgghhBBCNL09aYVsPpqLWqng9iFRjg5HiHqxS3G+ilJp3e9JrVZjMpnqPU5wcDDBwcEXPWbevHnMmTPH8rioqIh27doxduxYvL29633NC+l0OpKSkhgzZgwajW3vyBVVVJKVlESYiwt9xo+32bhhWWGs/nU1WaosrrzyyjqtWt2UeV6M8bM1KE9uYrTXYYyXN/26Ao7K0xFaS66Sp3NpLXlC43Ot+qSYuLiw2FgqjEa0SiVn9ux1dDhCCCGEEEKIBnrvzyMA/KtXG9r4ylpSomWxS3G+qpCek5NjtT0rK+uSRfaG0mq1aLXaats1Go1NCzu2Hg9A28a8orQhK8umY/cM6YlaqSanPIesiizCvcLrfG5T5HlRQx+AJZtQ7fgU1WUPg6vtZ03WxO55OlBryVXydC6tJU9oeK6t5flprA4xMaTpdERrtRQdOujocIQQQgghhBANcCqvlF/2ZABwxzBpVSlaHrssXdy+fXtCQ0NZv369ZZvBYGDjxo0MGDDAHiG0KJpQc/sfXWamTcd1VbsS629eYHVn9k6bjm1zMWMgqCtUFsNfix0djRBCCCcTHR3Nyar+/qdOOTgaIYQQQgghREMs2nAMowmGdQwktk3jO2UIYW92Kc4rFAruvfdeEhMT+euvv6ioqOCJJ57g7NmzzJo1yx4htCjq0FAAjEVFGG3cO7hXsHlR3Z1ZO206rs0plTD4XvPXW98FfcXFjxdCCOFUEhMTiY2NpV+/fk0yvpeXF7lq8wcINbm5TXINIYQQQgghRNMpKK3kq2TzRJs7h8usedEy2aQ4/8cff+Dr64uvry8Ad911F76+vtx3332WYx555BFmzJjByJEj8fDw4Ntvv2XFihWEh9e9tUprofL0ROnhAdh+9nzPoJ4A7MnZY9Nxm0SPG8ArDIozYM83jo5GCCGEHSUkJJCSkkJycnKTXaPC37zguH9FpdMspCuEEEIIIURr8cXWk5TpDHQN82ZoTKCjwxGiQWxSnB8yZAjHjx/n+PHj5Ofnk56ezvHjx3nhhRf+uZBSyYsvvkhRURElJSXs37+fkSNH2uLyTkkdYm5to7d1cT7QXJw/lHeIcn25Tce2ObULDJht/nrTm2A0OjYeIYQQTkXdzjxBINLFhcOHDzs4GiGEEEIIIURd6QxGPt18HIA7hkWhUCgcG5AQDWST4rxarbbMnD//n5tb9RWSFQoFrq6utrisU6vqO2/r4nyYRxj+rv7oTXoO5B2w6dhNou/t4OIF2QfgyG+OjkYIIYQT8Y+LA8zF+T07djg2GCGEEEIIIUSd/bIng8yiCoK8tFzVM8zR4QjRYHbpOS/qTx1i7juvO2Pb4rxCobDMnm8RrW1cfaD3Leavt7zj2FiEEEI4lU4DB1JoMKBWKDi1ebOjwxFCCCGEEELU0eKNxwG4aUB7tGqVY4MRohGkON9MqS0z58/YfOzugd2BFlKcBxhwJyiU5pnzWS1gtr8QQogWoWevXhysMC84fnbfPgdHI4QQQgghhKiLHSfz2XmqABeVkmkDIhwdjhCNIsX5Zkpzrue8rWfOA/QI7AHAnuwWUpz3i4TO481fb33XoaEIIYSwj8TERGJjY+nXr1+TXSMsLIyT53pTatJPN9l1hBBCCCGEELZTNWv+6rg2BHlpHRuMEI0kxflmqqkWhAXoFtgNgLSSNPLL820+fpMYeLf5v7u+hNI8x8YihBCiySUkJJCSkkJycnKTXUOhUFARZm4jF2EwkJGR0WTXEkIIIYQQQjReRmEZK/eYf2+/fUikY4MRwgakON9MaULP9ZxvguK8j9aHSO9IoAW1tmk/GEJ7gr4Mtn/s6GiEEEI4Cc9zi8L2cHNly8aNjg1GCCGEEEIIcVGfbT6B3miif5Q/3dr4ODocIRpNivPNlDo4GABDbi4mvd7m41e1ttmbs9fmYzcJheKf2fPbPgCDzrHxCCGEcAqx48ZRbDDgoVRxYPVqR4cjhBBCCCGEqEW5zsDSbScBmDEkysHRCGEbUpxvplR+fqBWg8mEPjfX5uNXLQq7O2e3zcduMt2vA49gKD4NKcsdHY0QQggnMGjIEHaVlwFQsn27g6MRQgghhBBC1OaHv9PJL9UR7ufGmNgQR4cjhE1Icb6ZUiiVqAMDAdBnZdl8/J5BPQHzzHmTyWTz8ZuEWgv9Zpm/3vKOY2MRQgjhFIKCgjjp7g5AQFY25eXlDo5ICCGEEEIIcSGTycRHG48BcOugSFRKhYMjEsI2pDjfjKmDggDQZ2fbfOxOfp3QKDUUVhRyqviUzcdvMn1ngMoF0v+CU023SKAQQojWQ9XN/Gmy3lotm6TvvBBCCCGEEM3OpiO5HMoswd1FxeR+7RwdjhA2I8X5Zqyq73xTzJx3UbnQ1b8r0IIWhQXwDIIek81fb3nbsbEIIYRwCp2vmUiZ0UiIRsPWb75xdDhCCCFEs/Hf//6XG2+8kYSEBKvtRqORxMRE7rzzTpYsWeKg6IQQrcnic7Pmr+8Tjo+bxsHRCGE7UpxvxtRBTdfWBv7pO9+iivMAA2eb/5uyHArTHBuLEEKIJpGYmEhsbCz9+vVr8muNGT+ebaWlAJxdv77JryeEEEK0FJdffjmXX345y5dbr/n1yCOPsGzZMvr06cPzzz/PokWLHBShEKI1OJ5zlt8OmGtjtw6OdGwwQtiYFOebMcvM+SZoawPQI6gH0AKL86E9IHIYmAyw7QNHRyOEEKIJJCQkkJKSQnJy07cwCwwM5OS5dV6ii4pJS5Mbv0IIIQTA+PHjufbaa6ttX7RoEUuWLOGuu+7inXfe4f3333dAdEKI1uLjTccxmWBk5yCigzwdHY4QNiXF+WZMc644r2uimfM9As3F+QO5B9AZdE1yjSYz8N/m/+74FHSyeJ8QQoi6ySzNJMeQQ7ne+meH/+WjAOjj7s5KaW0jhBCimTOZTCQlJXHdddcRFBTEG2+8UeNxy5YtY8CAAbRt25bRo0ezbds2yz6j0ciNN95Y47+DBw/Weu3i4mKMRiNhYWEAdOvWjePHj9s0PyGEqFJcruObv8xrJd4+JMrB0Qhhe1Kcb8aackFYgAivCLxdvKk0VnIo/1CTXKPJdBoHPu2gLA/2fe/oaIQQQrQQn+//nIXFCxn2zTDuWHMHWzO2AjD65ps5WFGORqHg6NIvHRylEEIIcXFfffUVL774ItOmTUOj0VB6rj3b+VatWsWNN97Irbfeyrp16+jRoweXX345R48eBUChUHDNNdfU+C8gIKDWa7u4uFBZWWl5XFFRgaurq+2TFEII4Ie/0zlbaaBDkAfDOgY6OhwhbE7t6ABE7f5ZELZpivMKhYIegT3YeHoje3L20C2wW5Ncp0koVdD3dvjtKUj+AOKmOjoiIYQQLYDRZESDBp1Jx5aMLWzJ2MJ1Ha9jXv95fKPV0hmIzsggPT2dtm3bOjpcIYQQokZTpkzhxhtvBOCBBx6o8ZgFCxYwadIk7r77bgBee+01VqxYweuvv87rr7+OQqGwjFEfWq2W8PBwNm3axODBg1mzZg09e/ZscC5CCFEbk8nEp5tPAHDzwPYoFAoHRySE7UlxvhmrmjlvyM3FpNejUNv+5YoNiGXj6Y2k5KbYfOwm1/tWWPc8pG+H9B3QtrejIxJCCNHMPdj3QWIzY+k5vCdLDy3lq4Nf8d3h7zheeJwuV10BP69hgLs7P3z6KQnz5jk6XCGEEKJGlypQ6fV6Nm/eTGJiotX2MWPGsL4ei5+/+OKLbNmyhby8PG688Uauv/56rr/+ep5++mmuueYa+vbty/bt2/nxxx9rHaOiooKKigrL46KiIgB0Oh06XePbq1aNYYuxmjPJ0/m0llwbk+fWY3kczirBTaNkYs+QZv1cyevpfBqba13Pk+J8M6by9weVCgwG9Lm5aEJCbH6NbgHm2fItsjjvEQjdroXdX0Hyh9D2bUdHJIQQogVQKBS082rHowMfZWTESP677r/syNpB2ZCuxHxbRndXN059/jmmRx6R2TlCCCFapOzsbHQ6HSEX/A0ZEhJCRkZGnccZNGgQERERTJ48GYAuXboAMHnyZPr160dKSgq9e/e29J+vyYIFC5g/f3617WvWrMHd3b3OsVxKUlKSzcZqziRP59Nacm1InosPKQEl8X561q9tGc+TvJ7Op6G51tRyriZSnG/GFEol6sBA9JmZ6LOym6Q4HxsQC8CRgiNUGCrQqrQ2v0aT6neHuTi/ZxmMfQbc/R0dkRBCiBZkcJvBvD/mfe5MupP9xfvZMtCL7jv1DC8rY8vmzQwaPNjRIQohhBD1ZjKZAFCpVFbb1Wo1RqOxzuMMGzas1n1RUVFERV16ccZ58+YxZ84cy+OioiLatWvH2LFj8fb2rnMstdHpdCQlJTFmzBg0Gk2jx2uuJE/n01pybWiemUXl/HfresDEvBuG0CXUq+mCtAF5PZ1PY3Ot+qTYpUhxvplTBwebi/PZWU0yfqhHKH5aP/Ir8jmUd4geQT2a5DpNJrwvhPWCjF2w41MY+oCjIxJCCHGBjz76iO+++w6AN998s05/yNtTj6AevHLZK9z96938OUrPtF1Goly0LH3xJQb9IIuOCyGEaHn8/f1RKpVkZ1uvX5adnU3Qufap9qLVatFqq08C02g0Ni3s2Hq85krydD6tJdf65rns72PojSb6RfrRo13LmYgpr6fzaWiudT1HWe+RhV1V9Z3XZzVNcV6hUFhmz7fI1jYKhXn2PMBfi8BocGw8Qgghqhk0aBCzZ88mNTWVwsJCR4dTo8FtBvNgvwcp1ypY38s8yzB4+3YyMzMdHJkQQghRf66urvTq1YsNGzZYbf/jjz8YMGCAg6ISQoi60RmMLN12EoCbBrZ3cDRCNC0pzjdz6uCq4nz2JY5suKri/L7cfU12jSbVfRK4+kLBSTjcenpeCSFES9G1a1cmTJiAr6+vo0O5qGldpjGm/RhW9zX/ejTS3Z2PnnrKwVEJIYQQDXPfffexdOlSfv/9dwwGA++99x579+7l7rvvdnRoQghxUUkpmWQWVRDo6cKV3Wtf00IIZyDF+WbOMnO+idraQAtfFBbAxR3ibzJ/nfyBY2MRQggnk5qayoMPPkhISAjh4eE1HnPixAmuvfZa/P39adeuHY888gh6vd7OkTaeQqHgiUFPUNkuhG2dFCgVCtQrVpCfn+/o0IQQQggrqampBAYGEhgYSEZGBk8//TSBgYFMmTLFcsxtt93G//73P6699lrc3Nx4+umnWbJkCX369HFg5EIIcWmfbj4OwI39InBRS+lSODf5Dm/m1MHBgH1mzlctCtsi9ZsJKCD1V8g94uhohBDCadx2220EBgYya9YsysvLq+2vrKzkiiuuQK/Xs337dr766is+/vhjHn74YQdE23g+Wh9eHvky3w8y/4o0zt2dD5991sFRCSGEENaioqI4cOAABw4cIDMzkxMnTnDgwAE++MB6stKjjz5KXl4eubm5pKWlMXnyZAdFLIQQdXM4s5gtR/NQKmDagAhHhyNEk5PifDNXNXNe14Qz50M9QvF39Udv0nMo71CTXadJ+XeAjmPMX//1kWNjEUIIJ7JhwwYefvjhWhePW758OYcPH+aDDz4gKiqKwYMH8+STT/L2229TXFxs52htIz44nn4Dp7IzSoEaBS4/LOPMmTOODksIIYSwUKlUlpnz5//z9vaudqxSqcTLy8sBUQohRP19tuUEAKO7htDG183B0QjR9NSODkBcnKZq5nx2082cVygUdA3oysb0jezL3UePoB5Ndq0m1W8WHF4DO5fAqMdB4+roiIQQwult2LCBrl27Ehoaatl2+eWXU15ezvbt27nssstYuXIliYmJHDx4kPvuu48+ffrw2muv1TheRUUFFRX/fIqrqKgIAJ1Oh06na3S8VWNcaqw5g+dwW//l9DxWzFi1G2/cdy/zv1jS6OvbU11zbekkT+fSWvKE1pOr5Fm/84UQojUrqdDz3Y50AG4ZFOnYYISwEynON3NVM+cNObmY9HoU6qZ5yWL9Y9mYvrHl9p0HiBkN3uFQlAb7V0DPGxwdkRBCOL2MjAyCz91IrlL1uGq2ebdu3Zg9ezazZ88GuOjCsAsWLGD+/PnVtq9ZswZ3d3cbRQ1JSZdeQHxwh+n8EfsuI1Og16G/eevNN+kQHW2zGOylLrk6A8nTubSWPKH15Cp5XlxpaamNIxFCiJbn+7/TKanQ0yHQg8HRAY4ORwi7kOJ8M6fy9weVCgwG9Ll5aEKCL31SA3QLbOGLwgIoVdD7Flj3HGxfLMV5IYSwE6VSWeNjk8kEQEREBBERdesXOW/ePObMmWN5XFRURLt27Rg7dmyNH9WvL51OR1JSEmPGjEGj0Vzy+IdObWfQ4WR6lmvY+t3HzE7airqJbpTbWn1zbakkT+fSWvKE1pOr5Fk3VZ8UE0KI1spkMvH5ZnNLm5sGtkepVDg4IiHso2X8ddmKKVQq1AEB6LOy0GdlNV1xPsBcnK9aFFar0jbJdZpc75vhj+fhxEbIPgRBnRwdkRBCOLWQkBAOHjxotS0rK8uyr760Wi1arZbExEQSExMxGAwAaDQamxR1FH9/Rt9jS3FdvRqlRwAExEBwLLSJA1X18RfMfZ8ndvbmtr0mphZV8t5LC3jg/55qdBz2ZKvnrrmTPJ1La8kTWk+ukuelzxNCiNYs+Xg+BzOLcdOomNQn3NHhCGE3siBsC6C2Q9/5EPeQlr8oLIB3G+g0zvz19o8dGooQQrQGgwYNYt++feTk5Fi2/f7772g0Gvr06dPgcRMSEkhJSSE5OdkWYVooT++gbcE2lLu+gE1vwIr7YNFoeCEKlk6Dvd+CrtxyvKurK2PuW8jhIBOelQq8Vi/lwIEDNo1JCCGEEEKI1m7JVvOs+YlxbfBxkxuWovWQ4nwLUNV3Xn9uJmJTqFoUFmBf7r4mu45d9Lnd/N9dS6wKLEIIIWzv2muvJTw8nHvvvZf8/HxSUlJ45plnmDFjBj4+Pg0eNzExkdjYWPr162fDaMHY4wZ2h9+M4bJHYcC/IXoUuAdAZTEc/BmWzYBXOkPSE1Bivik+evhY1vXshl4Jg3PVfPDvSZSXy88XIYQQQgghbCH/bCW/7DWvVzVtQN3aYQrhLKQ43wJYivPnzUpsClWtbVp033mAmMvBpx2U5cP+Hx0djRBCtGjXXXcdrq6uPPjgg+Tm5uLq6oqrqyspKeafFW5ubqxevdqyMOyAAQO44oorWLhwYaOu21Qz500RgzkWNAbjkP/Alc/Dzd/D3FS4cx0MmwvebaG8ADYuhIU9YNX/oDSPp1/8lM87mPte3pJl5Ml7brVpXEIIIYQQQrRW3+5Io1JvpFsbb3q0bfgEHyFaIinOtwDqQPMK1fqcpmtrAxAbEAs4QXG+amFYgL8WOzYWIYRo4b766isKCgooLi6mrKyMgoICCgoK6Nq1q+WYzp07s27dOioqKiguLua9997D1dXVgVHXk1IJbeLh8sfhgT1w41Jo2wf0ZbAlEd7sjce+JUx9+hO2tTHiYoDRu3ax+L23HB25EEIIIYQQLZrJZGLptpMATO0fgUIhC8GK1kWK8y2AKjAQAENubpNep2rmfGpBKhWGiia9VpOLvwkUKji5CbKkN7AQQjSURqOxzJY//19NvzQrlbb7taKp2tpcklIFXcbDrN/gpm/Ni8WW5cMvc4nbOgfVhKvI9jTRtliB9rM3+PP33+0bnxBCCCGEEE4k+Xg+R7LP4u6iYmJcG0eHI4TdSXG+BVCfK87rs5u2rU2Iewh+Wj8MJgOpBalNeq0md/7CsDs+cWwsQggh6q2p2trUmUIBMaPhrvUw/mVw9YUzu5le8gknB3lRpoH4HBXJ8+/i8OHDjolRCCGEEEKIFq5qIdire7XBy1UWghWtjxTnWwBLcb6JZ84rFAo6+3cG4GDewSa9ll30Pbcw7M4loCtzbCxCCCFaJpUa+t8BCdugywQURj03BRzi1OAKjMD4Myo+/fcE0tLSHB2pEEIIIYQQLcr5C8FO7S8LwYrWqUUV58+ePcsjjzzC0KFDiYuLY8+ePY4OyS4sxfmcHEwmU5Neq4t/FwAO5DlBK5joUeaFYcsLIGW5o6MRQghRDw5ra1MbrxCY8jlc/xG4BzAxLJdTg8oBmJam5K3bxpCZmengIIUQQgghhGg5vvs7nUq9kdgwb3qGy0KwonVqUcX5SZMmsW/fPp599lk+/vhjoqOjHR2SXagDzAvCmsrKMJ4tbdJrVc2cd4rivFIFvW81fy0LwwohRIvi8LY2NVEooPskuHsLxIxmXPs8jvY3r9Fyaxq8cstITp8+7eAghRBCCCGEaP5MJpOlpc20AbIQrGi9bFqcNxqN5OTkUFFR+2KiRqORkpKSeo+dkpLCpk2bWLJkCSNGjCAuLg53d/fGhNtiKD08UJzL1ZDbtH3nu/p3BcxtbYwmY5Neyy6qFoY9tQWyDzk6GiGEEM7AMximfQNXLODKmCKO9K4E4PYTJt65eaT0oBdCCCGEEOISqhaCddPIQrCidbNJcT4nJ4cFCxYQExNDUFAQ33zzTbVjDAYDc+bMwdvbG39/fzp27Mhvv/1m2X/69Gni4uJq/Hf69GlSU1Pp3bs38+fPZ8iQITz44IOUljbtLPLmpGr2vD6naYvz7b3bo1VpKdWXklbsBP1zvcOg4xjz1zs/d2wsQgghnIdSCYPuRnnHWkb3ced4X/PEhGnpSr6/6yp2bP/LwQEKIYQQQgjRfC3ddhKQhWCFsElxfvny5RQWFloV2y+0YMECPvvsM9avX09JSQnTpk3j6quv5tSpUwAEBgby8ccf1/gvMDAQLy8v/v77b+Lj43nppZc4ePAgCxYssEX4LcI/feebdlFYtVJNR9+OAOzP29+k17Kb+JvM/925FAw6x8YihBCiTppdz/nahPXE9d4tDJ8wihODzT3o/3VaxZ650/h66acODk4IIYQQQojmJ/9sJT/vyQDMLW2EaM3Uthhk5syZF91vMpl46623SEhIID4+HoAnnniC9957jw8//JD58+fj4uJCXFxcrWPExcURGBjINddcg4eHByNGjCAlJaXW4ysqKqza6xQVFQGg0+nQ6RpfoK0awxZj1YUywB+AiszMJr9mR9+O7M3dS0pOCsOChwH2y7NJRI1C7R6I4mwW+gOrMHUaV+0Qe7+ejtRacpU8nUtryRMan6uzPEcJCQkkJCRQVFSEj08zXxzKxQOPGz9kSPRStqgeIWSTO/0zVJx88zme2fMXjz77uvTQFEIIIYQQ4hxZCFaIf9ikOH8px48fJzMzk6FDh1q2KZVKhgwZwtatW+s0hp+fHw899BCRkZH4+/tTXl7Ozz//XOvxCxYsYP78+dW2r1mzxqa96pOSkmw21sUEl5zFFzi4ZQu5Pt5Nei19hR6ADQc30CG9A2C/PJtKN89+xJSuJHvNq2xLrb2XfkvPsz5aS66Sp3NpLXlCw3NtTS3fGiK9oIy0s3A4qwQPVxdc1ErcNCq8XTUolY0roHv1m8rQ9gP5ff5Y/LeoichT4LsyiQdTBzPvnZ8IONeiTgghhBBCiNbKZDJZWtpMlYVghbBPcT47OxuAoKAgq+1BQUEcP368zuPcddddTJ8+nTNnzhAZGYlaXXv48+bNY86cOZbHRUVFtGvXjrFjx+Lt3fjitk6nIykpiTFjxqDRNH1vrLwTJ8nbsoUoPz8GjB/fpNdqm92WFUkryNfkM2bMGLvm2WSyO8D7Kwkt2sX44X3AM8Rqt71fT0dqLblKns6lteQJjc+16pNiomYfrD/OF7vVvLR7k9V2pQL8PVwI8NAS6OVCOz93IgLcae/vQfsAd2KCPXHVqC45vltwFFe+eYAf/u8qzv55nDZZCmbuLuCLmwbS48F3GDlqdFOlJoQQQgghRLP314l8UrNKcNOouEYWghXCPsX5qrtgBoPBarter0eprF/be09PT2JiYi55nFarRavVVtuu0WhsWtix9Xi1cQkOBsCYl9fk14sNikWBguyybIoNxYD98mwybXpA274o0v9Ck/IdDLmvxsNafJ710FpylTydS2vJExqea2t5fhrKQ6vCW2NCqXah0mCkUm9EbzRhNEFOSSU5JZUczASwXuNFpVTQMdiT2DbexIZ5Ex/hS4+2vrioq/8eo1CquPaZVfy+9HVSvnqL2ANqxhxTc/zJe3h25UDmPvNejb+jCCGEEEII4ey+3GZee/JfvcJkIVghsFNxvk0b852wzMxMq+2ZmZmEhYXZI4QWTx10bkHY3KZdEBbAXeNOe+/2HC86zsH8g01+PbvpfTOk/wV/fw6D7wX56JQQLYLBYKCiogK1Wk15eXm1G73ORqfTXTRXlUqFWq12+o9/JiYmkpiYaPPX+8GxneimT2X8+JGWGxmVeiP5pZXkllSSd7aSzKJyTuaVcjKvlOO5ZzmWc5aCUh0HzhRz4Ewx35EOgFatJD7Cl/5RAQyI8qdPez+r2fUjp97P6SFX8/Nj4+i9S0lkloLQVVt561BPhjz8EQMHD7FpbkIIIYQQQjRnxeU6fjm3EOyUfrIQrBBgp+J827Zt6dChA7/++itXXnklYF6w9c8//+Sxxx6zRwgtnvpcn1p9TrZdrtfFv4ulOB9MsF2u2eS6XQcrH4Gcg5CWDO36OzoiIcQllJSUkJaWhtFoJDQ0lFOnTjl9UdpkMl0yV3d3d8LCwnBxcbFzdPZjzwVhXdRKQrxdCfF2rXG/yWQio7CclNNF7DtdxN7ThWw/kU/e2Uq2HM1jy9E8ANw0KgZFB3BZ5yAu6xRMRIA7bSKimLE4hQ8fv5l2W7cTla5k/EElx+fN4Nm4Xjzw3GI8PDyaND8hhBBCCCGag592Z1CmMxAd5EHvCF9HhyNEs2CT4rxOp6OwsNDyuKSkhJycHFxdXfH09ATg0UcfJSEhgX79+hEfH8/TTz+Nm5sbs2bNskUITk8VaO7Xb8jJxWQyNXlxqrN/Z1YdX+VcxXlXb+h2DexaCn9/JsV5IZo5g8FAWloa7u7uBAQEcPbsWTw9PevdDq2lMRqNlJSU1JiryWSisrKS7Oxsjh07RseOHZ3++WgOFAoFbXzdaOPrxuhY85olJpOJI9ln2XYsj23Hctl8NJfMogrWHshi7YEsYB8dgjwYGxvKld1DufPZL9i9fRu/v3gzAw+oiMxU0vbXPSw5FofXpP8y5Za7nP7GkxBCiJbnrbfeIicnB29vb6s13fR6Pd999x1paWlcfvnl9OrVy4FRCiFaiq+SzS1tpvRrJ7/7CnGOTYrzmzdv5rrrrgMgICCAxx57jMcee4ybb76Z1157DYAZM2ag1+tZsGABubm5xMfH8/vvv+Pn52eLEJyeOtA8c95UWYmxuBiVDRa1vZgu/l0AOJh/kGHKYU16LbuKv9lcnN/7HYx7HlxktqIQzZVOp8NkMhEUFIRWq2iwJiwAAH77SURBVEWn0+Hq6ur0xWij0UhlZWWtubq5uaHRaDhx4oTlOGF/CoWCmGBPYoI9mTYgApPJxP6MYtYdymLdwWy2n8jnaPZZ3v3jCO/+cYS2vm6M6x7K2AUb2bz4Idpt3UTHU0qGHlJT8ObrvPzTW4z932f0io93dGpCCCGEldLSUj788EOr4vzIkSNp27YtwcHBDB8+nGXLljFmzBgHRimEaO4OZ5aw81QBaqWCa+PDHR2OEM2GTYrzw4cPJycn55LH3Xnnndx55522uGSro3R1RenpibGkBH1Ojt2K8yeKTlDpU9mk17Kr9oPBvwPkHYWU5RA3zdERCSEuQWZUVOfsNyhaIoVCYV4sto03d18WQ1G5jj8PZbNy7xl+P5BFekEZizYcY9GGY4R4T2fw9Bns//W/DDpcRFChggl7DBz/z1R+6RDM1P/7lMjISEenJIQQQnDPPfeQk5PDkiVLrLYnJibSs2dPwDxBb926dVKcF0Jc1LId5nWbRnUJJshL6+BohGg+7NJzXtiGOjCQynPFeW2HDk16rUC3QALdAskpyyHTkHnpE1oKhQLipsPap2HHZ1KcF0II0SS8XTVM6NmGCT3bUK4z8MehbFbuyeC3/VlkFlXwfVEFhD/Bqg55TDn4EgNTdESeURB5Jptds67g65hobnnyI0JDQx2dihBCiGbq+PHjvP/++6xfv57Zs2czffr0asds376dN954g7S0NLp27crDDz9Mu3btAPOn9Z566qkax54xYwYREbUv1lhVmK+srOS3337j1VdftUFGQghnpTfCD3tPAzC5bzsHRyNE8yJT71oQ1bnWNoY6fErBFjr7dwYgw5Bhl+vZTdw0UCjh5CbISXV0NEIIJ7N06VJeeOEFq21lZWXcddddfPjhh1bbT5w4waxZszhx4oQ9Q2wREhMTiY2NpV+/fo4OpdFcNSqu6BbKwhvj+evx0Xx4S1/+1asNrholxyr9eT5qAQ+PuZ0dXTXoldApTcm/1h3jz9uG8/y9V5OWluboFIQQQjQzK1asYNSoUbi7u3PgwAFOnTpV7ZgdO3YwdOhQfHx8eOCBBzh16hSDBg2q06fe6+Ls2bNMnjyZ++67j759+9pkTCGEc9qXryDvrI4gLy2XdQ5ydDhCNCsyc74FUZ9bFFafk2uX63X178rG9I3OV5z3bgMxo+HwGtj5BYx+wtERCSGcyO7du1m1ahUPP/ywZdvHH3/M+++/T2ZmptVC6AsXLmTz5s0XnZnWWiUkJJCQkEBRURE+Pj6ODsdmtGoVo2NDGB0bQkmFnjX7zvDDztNsONyNRzsvoHfkFqYc+YHuh/T0OK6ix/HD/HVgFEsi2nDNw+/TqVMnR6cghBCiGRgxYgSpqakolUrefffdGo954oknGDZsGG+88QYAV1xxBe3bt+eNN97gqaeeQqlU8uSTTzbo+llZWUyZMoWHH36YcePGNTQNIUQrsSXL3Kp0Uu9w1CqZJyzE+aQ434KoA8wz5/Uyc77x4qabi/O7v4ZRjzs6GiGEE/H19aWwsNDy2Gg08uqrrzJkyBAKCgos24uKili0aBELFy6UvvqtlKdWzXW9w7mudzhZxeX8tCuD5Tt9eFg7kOFRa5l4ZA1dUvV0PqWi86lMUu/6F9+382bwzBcZOvwy+b4RQohWzPsSa5AZjUbWrl1r9Wk+FxcXrrzySpKSkmptZ3OhJUuWsHPnToqKinjyySe57LLLGD58OIMGDaJjx45s2bKFLVu20Lt3b66++uoax6ioqKCiosLyuKioCACdTodOp6tTHBdTNYYtxmrOJE/n01pyTcstYX+B+ffW6+JCnTbf1vJ6tpY8ofG51vU8Kc63IOqgQMB+xfkufuZFYTMNmRiMBjRo7HJdu+g0Dlx9oCgNTmyA8EGOjkgI4SQuLM7/8MMPnD17lrvvvpsXX3zRsv3999/H09OTm266yRFhimYm2MuVGUOjmDE0iqPZJSzf2ZHXtl9JaMffue74T/Q4WElUhpKojBIyD9/NW22MeI68nRtn3o+bm5ujwxdCCNHMZGdnU1paStu2ba22t23bltWrV9drLHd3d+bMmWO17eabb67z+QsWLGD+/PnVtq9ZswZ3d/d6xXIxSUlJNhurOZM8nY+z55qUrsCEig5eJvZv+4P9jg6oiTn761mlteQJDc+1tLS0TsdJcb4FUVXNnM+1T3G+nVc7XFWulBvKSS9JJ1obbZfr2oXGFbpdB9sXw86lUpwXogUwmUyUVupRKu3/MUg3jarOs5R9fX0tM8IAXn75Ze677z6CgoIsRXu9Xs+bb77Jvffei4uLS5PELFquDkGe/GdMJx4Y3ZGdp/rw9dZJLN2ykutPfUf3A6WE5ENIvpKyQ5/w7eqPON2hO9fd+yIxMTGODl0IIUQzUTVbz9XV1Wq7m5sblZWVdR5n2rRpNW6vTzucefPmWRX3i4qKaNeuHWPHjr3kJwDqQqfTkZSUxJgxY9BonGhC2QUkT+fTGnI1mUy8snADUMbMkV0Z389523m2htcTWk+e0Phcz68LXIwU51sQdaB55rwh2z7FeZVSRQefDqTkpXC44DDRAU5UnAfoNdVcnE9ZDmMXODoaIcQllOuMxL/gmLvzKU9dgbtL3X5k+vr6otfrKS0tZefOnezZs4dffvmFgwcPWtrafPPNN+Tl5TF79mzLeVlZWXz11VcATJgwwSZ/rIqWTaFQEB/hR3yEH7rr4vg95VZe+f4X+hxbSvyhM4TlQp/DKvoc3s+h3f9iRYgavxG3cv3Ns/H09HR0+EIIIRzIz88PgNxc6/XKcnNz8ff3t2ssWq0WrVZbbbtGo7FpYcfW4zVXkqfzceZctx7N5WReGVqliat6tnHaPM/nzK/n+VpLntDwXOt6jqzC0IJYFoTNtc+CsAAdfTsCcLjgsN2uaTft+oNfFOjOojj4s6OjEUI4CV9fX8B8l/yll17ijjvuwNfXFx8fH4qKijCZTLz22mvMnDnT8odzWVkZAwcO5O+//2bbtm2MHz8evV7vwCxEc6NRKRnbI5wl/3cns99NYvt9iXw8MpYDHVQYFRCVAeN26un19iJ+urEfL8y8jPV//oHRaHR06EIIIRzAw8ODTp06sX37dqvt27ZtIz4+3kFRCSFam6/+OgVA70ATHlqZHyxETeT/jBZEHVjV1iYXk9GIwg6tHWJ8zR+Rd8rivEJhnj2/7jmUe74G3xmOjkgIcRGuGiV7nxzjsLY2dVVVnP/rr7/45ZdfOHzY/P7p7e2N0Wjkl19+YceOHXz99deWc77//nt69erFRx99hNFoZPTo0axatarWhdVE6+ahVfPglFEwZRT7j6XzwfuJxJz4lW7HignOh16p0Cs1k+y995LbVsHLaz/litsfJz4+XhaRFUKIVmTGjBmW9npRUVGsXbuWTZs2sXLlSkeHJoRoBYrLdfyyJwOAAcEyYUSI2khxvgWp6jmPXo+xqAjVuQJQU3LqmfMAPSfDuudQHPsD127XODoaIcRFKBQK3F3UDinO10dVcf7JJ5/khhtuICLC3Fexqk3NE088wQ033EBkZKTlnMOHD1vNYuvVq5elqN9aJSYmkpiYiMFgcHQozVrXqLa8uuA5TKZn+X7Nelb9sJCeGal0PqojqBCCCk2QcoAzO6bzfpiawqh4Jtz+CLGxsY4OXQghRCOcPHnS0g8+Ozubd999l59++omBAwfy8ssvA/Df//6XvXv3EhsbS4cOHThy5AhPPfUUY8eOdWToQohW4qfdGZTrjEQHeRDpWejocIRotqQ434IoXVxQenpiLClBn5dn1+J8ekk6pbpS3DXuTX5Nu/KPgojBKE5uIjx/M3CToyMSQrRwVa1qtm/fzocffmjZ7unpiUqlYvv27bz33ntW5ygUCkwmk+WxyWRq9TOcExISSEhIoKioCB8fH0eH0+wpFAquu2I4110xnJKSEt5f/AmVf31F56xcok8aCc2F0Fw97E0mbesk/gjVUNCmMyOuv5+Bgwc3+5teQgghrAUFBfH8889X2171ewiAWq3ms88+4/nnn+f06dNER0fbvd+8EKL1WrY9DYBJvdugKJLivBC1keJ8C6MK8MdYUoIhLw86dGjy6/m5+uGp8KTEVEJqQSo9g3o2+TXtrteNcHIT7fI2wHnFMSGEaAgXFxcWLVqEp6cncXFxVvs++ugjXFxc6NOnj9X2Ll268PHHH1se//XXXzKrTTSYp6cnc+5NQKe7ky+//JJfTp9AtfcnOmUWEX3KRHgWhGfpYPdesrfcwadtVKQHhNNjwl2MveJKXF1dHZ2CEEKIS3Bzc2Po0KF1OrZt27a0bdu2iSMSQoh/HMs5y/YT+SgVMLFXG/5av9/RIQnRbElxvoVR+wegO3ESfW6e3a4ZogqhRF/C4fzDzlmc73YNpl8exLs8Hd2Z3RDR19ERCSFauBkzal7D4pZbbqlx+8SJE/m///s/Jk2aRGVlJSUlJVKcFzbh7e3NjTc+jEbzGKdPn+azRYm4HEgiKreEqFMmggogqMAAnKBo+//4ftFjnPTzxr3baMZPuo3o6GhHpyCEEEIIIVqY73aYZ80P6xhEsJfWwdEI0bxJcb6FUQWYP4ZoyMu12zVDVaEc0R/hUP4hu13Trlx9MHUah2L/cvPCsFKcF0LYmVarZcuWLfz444+YTCYuv/xyaTMibK5NmzY8/PizwLNkZ2fz9ZefUbz9eyJz84g+ZcS7FOIOGYmjAOO2ZRxeuYzfAjVkB7an+xUzGD1mLB4eHo5OQwghhBBCNGNGo4nvdqQDMKlPuIOjEaL5k+J8C6P2Ny8Ka++Z8+DEi8ICxh5TUO5fjnLftzDuWVBpHB2SEKKV8fX15ZZbbsFoNFJUVOTocISTCwoKIuHeOcAcSktL+fmn5Rxcs5jwvAwiMvWE5UL7DGifoQNSKdn8P37+8DFO+bpT3rYnw668mQGDBqHVykwoIYQQQgjxjy3HckkvKMPLVc3Y2BDA6OiQhGjWpDjfwqj8zQv82HXmvDIUgEP5h5x2kUJTh5GUq71xLc2B1N+g8zhHhySEEELYhbu7OzdMngqTp2I0Gtm1axffffsRrse30j6vhMh0E57l0CPVSA9K4K9N5K3dxA+hStK9PdBF9GHYv26mX79+aDRyc1sIIYQQojX7drt51vyEnmG4alTodFKcF+JipDjfwlhmzufl2+2aQaogVAoVhRWFZJdlE+webLdr241KQ7rfIKKzV8OupVKcF0II0SoplUri4+OJj38TgKKiItas/oX9v35KWG4abfN0hJ8B/2LwLzbSk2LYvo6ctetYFqIkzccTXZvu9Bs1mUFDhuDp6engjIQQQgghhL2crdCzcm8GAJN6S0sbIepCivMtjKXnfK79Zs5rFBoivCI4VnSMQ/mHnLM4D5zyH2Iuzh9cCWX54Obn6JCEEMJpJCcns3nzZuLj4xk2bJijwxF15O3tzfU33Ag33AjA8ePHWf3LD2TtWEFYQTbhOTrCMyGwEAILjcRRBGyi8NdNrA5WcMZbS75fOJEDJjL88rFEREQ4NiEhhBBCCNFkVu09Q2mlgcgAd/q0l5qKEHUhxfkWRh1QNXPefj3nAWJ8YyzF+aFth9r12vZS6NYeU1BXFNn7Yd8P0Pd2R4ckhBBO4bvvvuO+++7j2muvZeHChTz++OPcfru8x7ZEkZGR3HX3A8ADmEwmjh49yuqfvyF/5yrCCnJpm6enTRb4nAWfYyZiKQdSqVz/Cvs+e4Vf/dSc8fZDE9mX/pdNpE+fPjK7XgghhBDCSXy7Iw2A63qHO2VLZCGaghTnWxiVv/1nzgN09O1I0skkDuc776KwKBQYe9yAau1TsGeZFOeFEMJGXnrpJT7++GNGjx7NrFmzmDx5shTnnYBCoSA6Opq7/7+9+w5vqmz/AP7NaJN0bzrpohQopSwpyFZmAXGAIhtxgCgq6MtwIOoriANEcOF6xZ8MERSQPWRvWlpGoYPu0t0mbbPz/P4IiYYOOnOS9P5cVy/Ic87JuZ+sc3LnOfczfzGAxWCM4fbt2zh2ZD9yLuyCZ0U+/MqVCChgcJYDIXlASJ4GQBFwZi/Kdu3FAW8eCp3tUOrsBefIgeg7dAy6detGE80SQgghhFiZ3HI5zqTrc1WP9QjgOBpCrAcl562M0JCcLy8H02jAE5rnKYxwiwCgnxTWlum6PK5PzmeeAipyAFeqkUYIads0Gg3+/PNP/PzzzwCAP//8s8Y6CoUCn3/+OY4dOwZHR0dMmTIFjz76qHH5zZs38cADDwAAYmJikJubC41GA6GZjmHEPHg8HsLCwhAWNhd4di4AoKKiAqdPncT+o1vgkJ8Mf2kVfIt18CkF3CsB90qGzlAByANObUHR9i3Y6clHgbM9St184dl5KGL7P4SoqChIJBJuO0gIIYQQQuq043IOGAP6hnkgyMOB63AIsRr0rdjKCNzcAB4PYAza8nIIvbzMsl9Dcj69Ih1qnRp2fDuz7NfsXAOB9g8CWaeBq9uB/vO5jogQQjjVu3dvhIaGwtnZGfv27at1nccffxy3b9/GO++8g/z8fDz11FP44osv8PzzzwMAGGN0WWsb5erqitFxYzA6bgwA/Y89165dw8lj+1F89QjcpQXwkangU6yDdwXgXQ54l+vQFQoAGdD9/SOKN/+Iv9x5KHKyQ7mjK+zad0fMg2MQ06MHfHxscx4cQgghhBBrwhjD75dzAdBEsIQ0FiXnrQxPKITAzQ3asjJoSkrNlpz3c/SDo50jqtRVyKjIQIR7hFn2y4luE/XJ+aTfKDlPCGmSS5cu4fbt2wAAgUAADw8PdOvWDe7u1jcp0uHDh+Hp6Yk1a9bUmpw/evQo9u7di6SkJHTt2hUAIJPJ8Oabb+KZZ56BUChEREQELl26hKFDh+LatWvw9fWlUfNtlFAoRExMDGJiYgD8B4D+youEhATsOboL8tTT8JKVop1UDb8iBtcqwKcM8CljAFTQl8Q5CNnOgzjvxUOxswDFjo7I47uipKQQffr0Q8eOHWFvb89lNwkhhBBC2pTLWeW4XVwFiZ0Ao6P9uA6HEKtC34ytkMDTA9qyMmhLzVd3nsfjIcItAglFCUgpS7Ht5HyXR4E9bwB3EoGim4B3JNcREUKszBtvvIHs7GzExMRApVIhKysLN27cwJQpU7Bu3To4OFjPZZ6edycir8uBAwcQFhZmTMwDwKOPPop3330Xly9fRp8+ffDaa69h5syZeOqpp/DHH39g4cKFdd6fUqmEUqk03pZKpQAAtVoNtVrdzN7AeB8tcV+Wzlr6KhAI0KtXL/Tq1cvYJpVKER8fj5On90GVGQ/XylJ4V6ngVaYvieMsB5yzGcKhAVABoALqi5+hwB247sZHqYMQ5RJnaL3DENztYUTHdEdERATs7Kz3yj9reT6bq630E2g7faV+Nm57QgixRoaJYEd39YWTiFKNhDQGvWOskNDDEyqkQVNSatb9Rrjrk/O3ym4hDnFm3bdZOXgAHYYBt/bpR88/9BbXERFCrAhjDPHx8Vi+fDnmz//n6puEhAQMGzYMKpUKv/zyC4cRtqzMzEwEBJhO+GS4nZmZiT59+uDpp59GYGAgzpw5g/Xr12P48OF13t+KFSuwfPnyGu0HDhxo0R81Dh482GL3Zemsua8RMQOBmIEA9ImrxJwcZKQlw67iFnzU5fBRKOFToUO7YkCiAvyLAf9iHfSj7EsAlEC17wKK3IGbrnyUSIQospOg1N4b9u06oX1QMHx9fa0qaW/Nz2djtJV+Am2nr9TP+lVXV7dwJIQQYh4KtRa7r+QBAJ7oRSVtCGksSs5bIYHn3UlhzThyHgA6uncEYPuTwgIAoif+k5wf+qa+zj8hhDRAWloaysvL0aNHD5P27t2744033sBbb72Fr776Cs7OzhxF2LJUKlWNiToNSXSVSmVsGzhwIAYOHHjf+1uyZAkWLFhgvC2VShEUFIQRI0bAxcWl2fGq1WocPHgQw4cPt6qEbFO0hb4yxnD79m3876cf4awtBopS4FZdAY8qNTykOniXAiINEFAEBBQZkvYqABVQClNR7A6UufBQ6CBEudgBShdfuIf3QaeYWHTs2BHt2rWzmPkS2sLzCbSdfgJtp6/Uz4YxXClGCCHW5khyIaQKDfxdxegXVv9Vt4SQmig5b4WE7vrkvKbUvCPnO7h1AACklaeZdb+ciBwN2DkAZRlA7iUgsDfXERFCrMSlS5fA4/HQvXv3GssiIyOh0Whw584dm0nOu7u7IyMjw6StpKTEuKyxRCIRRCIR1q9fj/Xr10Or1QIA7OzsWjSp09L3Z8lsva9hYWGI7dsPcXFxxn5qNBqkpqbiSkI8UuMPgV9oSNpr4Flxb9KeAVDDUB4Hh2+i3GkjEt2Ackc+yiT2kDm4gefTAe2jByOqazQiIiI4K09l68+nQVvpJ9B2+kr9vP92hBBijXbE6yeCHd8jAHy+ZQxqIMSaUHLeChlHzpu5rI0hOZ9XlYdqdTUc7KynZnKj2TsCncboR84n/UbJeUIsAWOAqgrg882/bzuHBl9Bc/nyZXTo0KHW5HtVVRWAf5LWjDHcvHkTIpEIoaGhLRevGfXo0QObNm2CXC43jqC/cOECeDze3Uk/m2bevHmYN28epFIpXF1dWypc0kYIhUJ06tQJnTp1AiY9bWxXqVRISUlBYsJlZMYfAq/4NlzkMrjJVXCr1MGjHHCpBtwq9X+ADoACwB0Ad6DedRLFbkCaCw8VDgJUiOxR7eAGgVcIAroMRMdOXRAeHg4PDw+LGXFPCCGEENJayqtV+PtmIQDgsR4B91mbEFIbSs5bIeHdyfnMPXLeTewGT7EnShQlSCtPQ7R3tFn3b3bRT+oT81e3AyP+Cwjo7UIIpzRy8Fd25mbfS/P0P9o1wKVLl9CzZ89al124cAEdOnSAl5cXtFotxo0bh5s3b0KhUOCJJ57A2rVrWzJqs5gwYQIWLVqE1atXY+nSpVAqlfj0008xYsSIGrXoG+PekfOEtAR7e3tERUUhKioKmDLN2K7T6ZCbm4vk5GScij+JqozLkMgK4aaQw61KA/cKBq9ywF4L+JUAfiUMgObuXzWAPGh2nkaZC3DamYcKRx6kIntIJc7QugXAq0MfdIruifDwcPj7+4PPxY+MhBBCCCEt7K+kfKi1DJ39XNCxnW1cGUyIuVG20QoJPAwj581bcx7Qj54vuVOC1PJU20/Ohw8FJB5AVSFw+xjQ4WGuIyKEWIHLly9j0aJFNdrLy8vxyy+/4PXXXwcA7Nq1C1KpFLdu3YJCoUDXrl0xZ84c/UhfC7JkyRKcOXMGOTk5qKiowJAhQwAAP/74I0JDQ+Hj44NNmzZh+vTp+Pnnn1FSUoLAwEBs3bq1WfulkfPEnPh8PoKCghAUFFRjwmK5XI7U1FRcv5qEjCt/gxWmwFFeAReFCq5yHVylDB4V+sS9dzngXc4AMOhH3CsAFAFIQLkjkOgKnHDiQyoWolIkglziBoFXKAIiY9EhohNCQkLg6+tLyXtCCCGEWIU/4/UTwT7Ww5/jSAixXpSct0JcjZwHgHC3cJy7c65t1J0X2AFRjwEXvweStlFynhCuCSXQLc7hJmnVwDJe6enpKCsrqzFyXiqVYsKECfDz88P8+fMBABcvXsSYMWMgEAjg6OiI4cOH4+LFixaXnJ88eTJGjhxZo93Hx8f4/7FjxyI3NxdJSUlwcHBAVFQUlfQgNkMikSA6OhrR0dHA05NNlslkMqSnp+NmcjLSrp6EtjAFkqoSuCqUcJVr4CrTJ+4dlYBblf5PXyrHMDGtDEA2tLzjqHACEpwBmSMfMpEAMpEYcokb+J4h8It8AMFhESgqKoJWq6Xa1IQQQgjhXE5ZNc5nlILHAx6JoZI2hDQVJeetkODuhLBajpLzAJBanmr2fXMieqI+OX9jFzD2M8BOwnVEhLRdPJ6+tIwFjyi9dOkSAH2Sftu2baisrERiYiJ++eUXdO/eHQcPHjROIllVVWWS4HZ0dIRMJuMk7vpERzfsKimJRII+ffq02H6prA2xBs7OzoiJidHPr/DUUybLVCoVMjIykJqaipSk06jMSoRIWgRnRTVclBo4yRlcKhncpYCdFvCQ6f/0yXsd9JPU6pP3OpxAhTMQ4Az8+cdqyCQCyOztIRc5Q+vqAxf/SIRG9ERQcDCCgoLg6elJP5ARQgghpFX9maAfNd831BO+rmKOoyHEelFy3goJ704Iq6ushE6pBF8kMtu+I9wjALSh5HxQLOAaBFRkA7f2A1GPch0RIcTCPfHEEzh48CAEAgFcXFwQERGB/fv3o0ePHibrBQYGIjX1n8/SlJQUDB061NzhWiwqa0Osnb29PTp27IiOHTsCcXEmyxhjKCkpQWZmJpJTUpCZfA6KglSIq4rhpJTDWamGczWDq4zBXQbYawB3mf7PNHlfBf1ktYlQ2P2GCmcgx5GHSgkPlSIBKu1FUIicwVx94RrUFSGRMQgMDERQUBDc3d0pgU8IIYSQJmGM4Y/4XAA0ESwhzUXJeSvEd3EBhEJAo4G2tBR8Pz+z7dswcr6gugAylQzO9jY+4QefD3R9Aji1Rj85LCXnCSH1mDhxIiZOnNigdSdMmIBevXqhZ8+eKC8vR3x8fI1a14QQ28Tj8eDl5QUvLy/06tULwCST5YwxlJeXIyMjAympqchIPgd5/k0IyvLhrlPDRaGBk4LBqZrBpRJwkgNiNSAuBdqVGmreGxL4lQDyAcRDbr8Rpc5ApiMPlWIeZGIhKu1FqBY7gTl5w8knHIHh3REYFAh/f3/4+flBZMZBIIQQQgixDtfzpUgprIS9kI9R0b5ch0OIVaPkvBXi8XgQenhAU1gITUkp7MyYnHexd4GPxAeF8kKklaehu093s+2bM9ET9cn5lAOAQgqIXbiOiBBiA4KDg/H777/jq6++gr29PQ4cOACJRAKdTsd1aBaBytqQtozH48Hd3R3u7u53r7qZCLVajT179iAuLg52dnaQyWTIyclBdnY24lOuoTgjEawsF2KlFE5KORxVWjjLdXCqupvAVwASFSApAXxLDAn8f9e+zweQCLVgB6SOQLIjcEnCQ5WIjyp7AeR2+lH4PBdfOPlFIDC8GwKCAuHn5wdfX1+qg0+IjdqwYQNKSkrg4uKCF198scbyhIQE7Nu3D4sWLaKrcQhpQwyj5od19oGLmM4BCGkOq0vOa7VaqNVqiMVtu56VwNMTmsJCaEtLzL7vcLfwtpWcbxcFeHUEim8BN/cAMZPuvw0hhDTA4MGDMXjwYK7DsEhU1oaQ+jk7O6Nz587o3LkzMGJEretIpVJkZ2cjJycHF25eQVlWElCRD7FcCmelEk5KDZwVDI7VDI7VgEu1vv69p1T/p0/ga+/+GZL4eQAuQyXcAqkjcNUROC/WJ/Er7e1QbS+CXOICOHtD4h2CwJBoBAQEoF27dvD19YWzszMl8AixIjKZDPn5+Vi3bl2N5Hx5eTmWL1+Ov/76C6+//jqEQqtLLxBCmkCrY9h5RV9vfnx3KmlDSHNZ1dFz4cKF+PrrrwEAffv2xfbt29vsF3ahuzuUADQcTQp7Jv9M26k7z+MBUY8Dx1YCV7dTcp4QQgghVsHFxQVRUVGIiooCRo6ssZwxhoqKCuTl5SE/Px83MtJQeDsR6tIsCKrL4KCqhqNKDUelFg5KBscqBpcq/Sh8ew3gVaH/M03iKwBUAMgGcBka/nbIHIBMB+CGhIdqEQ/V9nzI7ewgtxNBLXYG37kdnHzC0C4kCt7tfJCXlweZTEZ18QmxAAsWLEBxcTF+//33Wpd9/PHH2Lt3LweREUK4cja9BAVSJVwldhgS6c11OIRYPatJzqempmLTpk3Izs6Gi4sLnnjiCWzevBkvvPAC16FxQuDpCQDQlpg/Od/BrQMAIK08zez75kzUY/rkfNoRQF4GSNy5jogQQgghpFl4PB7c3Nzg5uaGLl26AHi41vUYYygtLUVeXh7y8vJw+fYNlGReg7Y8F3byCjgq5XeT+Do43q2F71QNOCoAoQ5wr9T/6ZP4hnr4GgByAOXQJ/IvQi0AKh2ADg7AiT++gFzEQ5W9ANV2QsjtxVCJncGc28HBJxi+gZ0R4O8Pb29veHt7w9PTEwKBwBwPGyEWIy8vD9999x1OnDiB2bNnY9KkmoOIkpKSsG7dOuTk5KBz585YuHAh/O6WRWWM4aOPPqr1vqdOnYrAwMA69/31118jLi4OHTp0aJnOEEKshqGkTVy0H0RCOvYS0lwtmpxPTU1FQkIC+vTpg/bt29dYrtPpcOHCBRQVFSEmJgZBQUEmy0rrGAXu4eEBb29vODg4IC0tDR4eHigrK0NkZGRLhm9VhB4eAAANR2VtgDaWnPfpBPh0AQqvA8l/AT2mch0RIYTYNKo5T4jl4PF48PT0hKenJ6KjowHUHIUP6M/ni4uLkZeXhzt37iAxOw3FWTegKs2FsLoM9uoqOKjVcFBp4KBikCh0cKyGPpGv1JfUcZfp/0wT+WroE/llALIAXICGD1RKgDsS4LaYB7kIkNvzIbcTQCEUQmkvhtreGXxnbzh4tYd3UGe08/MzJvO9vLyoTj6xanv27MGcOXMwffp0xMfHIyMjo8Y6iYmJ6NevH6ZOnYqZM2fi+++/R9++fREfHw8PDw/j5NO1qe/4m56ejnXr1mHq1KlYuXIltFotVq1ahTfeeIPeV4TYOIVai71X7wAAHutBJW0IaQktkpy/fPkylixZgrS0NKSlpWHjxo2YOtU0eVlSUoKRI0fizp076NChA86fP4+3334bS5YsAQDk5ubenfCqpvj4eAQFBWH27NkYMGAABAIBRowYgX79+rVE+FaJy5HzhuR8obwQUpUULvZtZILUqMf1yfmr2yk5TwghrYxqzhNiffh8Pnx8fODj43PfddVqNYqKinDnzh0UFBTgUlYKSrOSoS7Pha68AM48DRzUajiqtHBQ6uCgYHCUA05VgINKPyLfrUr/p0/iA6b18asBlALIBHAROp4+mV8iAXLEgFzEg8KOD7mdvsSOwk4ElcgZzMkDIo/28AzsiAD/QOOPEp6enlQvn1iUfv36IT09HUKhED/99FOt67zzzjvo27cvvvnmGwDAuHHjEBwcjC+++ALLli0Dn8/HypUrG71vnU6HsWPHGhP7hhJZjLH6NySEWL3DNwpRqdQgwE2C3sFUUYCQltAiyfmSkhK89tprGDlyJPh8fq3rvPHGG1AqlUhOToaTkxP27NmDMWPG4OGHH0afPn0QFBSE4uLiOvfx999/Y/v27SgtLYVEIsGrr76Kjz76CO+8805LdMHqCD25GznvbO+Mdg7tUFBdgLTyNPTwqf1HFZsT9Rhw9AMg/W+guhRw8OA6IkIIIYQQq2RnZwd/f3/4+/vfbRkNQJ+037NnD+Li4owjcFUqlUki/05OBspyb0JZmgdedSnsVFUQq1UQazRwUOsgVumT+RIF4Hh3VD6f6Se8dak2RPDvOvlq6JP5hpH5CQCASjFQJQZKDMl8ex6UdjwohHdH59uJoLV3hM7BDSI3P7i1C4N3QKhJQt/Dw4MmySStwt29/qQYYwyHDh3Chx9+aGwTi8UYPXo0Dhw4gGXLljVoP9u2bUNiYiJkMhlWrlyJAQMGYMCAASZJ/TVr1uC///1vna91pVIJpVJpvC2VSgHo3+9qtbpBcdTHcB8tcV+WjPppe6yxr9svZwMAxkb7QqvVoCEXuVpjP5uC+ml7mtvXhm7XImeKw4cPv28wW7ZswUcffQQnJycAQFxcHDp37oxffvkFffr0ue8+NBoNpFIp0tLS4OLigvz8/HpH0tn8CYCLfrS6prikVWOoq59hrmEoqC7AzZKb6OretdX2by4Nej5dgyFsFw1eQRI0V3eA9ZhupuhaFuevXTOhflo/tVoNxhh0Op1xJJbhti1rSF8Nj4lara5RY9kWXwuEkLbN3t4eAQEBCAho2OXzcrkcRUVFxr+E3EyU5tyEsiwHvKoy2KsqIVIrIVFrIFHrJ7uVKBkcFICDHHCUA3zoJ751Uhju1VBmBzAdnV8GIAfAVQCAUghUS4A8MZAu4kFhDyiMCX0BlEIRVPYSaCXOgIMn7si0KCsrQ0BAgDGZ7+7uDhcXFxqlT5qlqKgIVVVVNerGBwYG4uDBgw2+n6qqKqhUKsydOxfl5eVQKBQ11nnjjTfqHKQHACtWrMDy5ctrtB84cAAODg4NjuV+GtMva0b9tD3W0tcqNfD3TQEAHtylKdizJ6VR21tLP5uL+ml7mtrX6urq+68EM00Im5qaiurqanTr1s2kvVu3bkhMTGzQfQwbNgyTJk3CxIkToVQqMXDgQLz++ut1rm/rJwDizCy0B1CZn4c9e/a0+v7u7Sdfrj/5OpJwBJJbklbfv7nc7/mM4HdCFySh7Ph3OJ3vZaaoWkdb+SClflovoVAIX19fVFZWQqVSAQBkMhnHUZlPfX1VqVSQy+U4fvw4NBqNybKGngAQQoitkkgkaN++fa1zYNVGqVSiuLgYRUVFKCwsxK28XBTnJENRmgNdZQkEqkrYq5UQadQQa7SQqHUQqRnESgaJUp/Qd7g7+a1IA4hM6uYb/jXUzlcAqABwB4A+qaE7fgFVYkAqBgrEgOLuKH2FHQ/yu6P0FUI7KO0k0IicwXPwgMjdH15eQfD19oW7u7vJn5OTEyX2ifHcSSIx/a7m4OBgXNYQM2bMuO8677//fr3LlyxZggULFhhvS6VSBAUFYcSIEXBxaX6JVLVajYMHD2L48OE2XfOe+ml7rK2vv57PhpbdQCdfZ8ye0PAy09bWz6aiftqe5vbVMFD8fsySnK+oqABQ89I7T09PJCcnN/h+li9fXmvCvTa2fgKgyspC1pdfwl6hRFxcXKvtp65+qtJUOHXuFLTuWsQ93Hr7N5cGP59lXYAvf4NXVTLiBj8AOHqbL8gWwvVr11yon9ZPoVAgOzsbTk5OEIlEkMlkVlPvV6lUGkewCwSCGl+M68MYu29fFQoFJBIJBg0aBLFYbLKsoScAlo4mhCWEmItIJGrUyHxAPzq/pKTE+He7oBCFuamoLMmCVlYIvkIKe1U1RBp9uR2xWqf/UwISpb7kjoMCkKj0JXec5fo/vdpG6QP/JPX11AJ92Z0qMZAlBm7dTerL7XiQC/moFggh59tBLhBBbe8IrdgNdi4+8HL3hZ+HLzzcPWok9h0cHKziOEvuz83NDQBQWmo6R1lJScl9S+K0NJFIBJFIVKPdzs6uRc9fW/r+LBX10/ZYS193J+mPQY/3DGhSvNbSz+aiftqepva1oduYJTlvOBDfO5qvsrKyRlKhJfdpyycAfG99UpjJ5RBoteC30uNocG8/Iz0jAQDp0nSbejPe9/n0iQD8e4CXFw+7lD3AA8+aL7gW1lY+SKmf1kur1YLH44HP5xsTBYbblu7pp5/GX3/9BZFIBLVaDT6fj969e+Pll1/Gk08+We+2hlI29fXV8JjU9rzbyuuAJoQlhFgyiUSCwMDAGiVD6qPV6kvYGBL6mQUFOHZkPwI8xFBX3AGvqhQCZTXEGiXs747SF2t0EKsYRCr9KH3J3dI7Qh1gp/33pLhAzaS+GoAh419kjENhp58ct1oMlIp4yBMBcnseFEIeqgQ8VPMFqOIJUcWzgxwSKIVOYPbu8HTygJerO1xdXeHm5lbrv66urjXKrRFuODk5oUOHDrh8+TKmTJlibL98+TK6d+/OXWCEEKuUXVqNCxll4PGAR2Ia/mM2IeT+zJKcDw0NBQBkZWUhNjbW2J6VlYWwsDBzhGBz+M7OgFAIaDTQlpeD7+tr1v2Hu4UDAIrlxahQVsBV1IYSJ1GPA3nxwLU/rDo5TwhpPZcuXcKyZcvw1ltvgTGGgoIC/O9//8PkyZORm5uL1157jesQCSGEmJlAIICXlxe8vPSlEQ0/3v578tvaaLVaSKVSlJaWoqysDHdKSlCRn4WyvHQoSnKhrSqFQCGDnUoBe40KYrUG9up/kvpiJSBW6BP7AgaI1fo/SAHT0jsGGgCGubvKja3VIv0kufK7pXeU9jxkCgElnwcZYyhU63BbqkR6qQZFlYCLs6sxYV9ZWYl9+/bB3d291sT+v/8vFotp9H4LmTlzJtauXYtXX30VQUFBOHnyJI4fP45du3ZxHRohxMrsSswDAPQN9YSva+sODiWkrTFLct7NzQ39+vXDtm3bMHHiRABAXl4eTp48iR9++MEcIdgcHo8HgbsbtEXF0JaVwc7MyXlHO0f4O/ojryoPqeWp6NWul1n3z6moR4GDbwMZJwHZHcDZvI89IcSyFRUVIScnBz169ACg/7z29fXFokWLkJOTg3fffRcvvfSSzYxwJ4QQ0roEAoGx7ExjaTQaVFRU6BP7xUWQ5qSjPCcdlYXZUEmLwJNLwVdWw16lgr1aA3u1FqK7SX2RAvqa+nfn/3RQ6v9QAZiO0v83EQARNA5AuUSDSvsSSPmlKPbiIzvvOK4mKXDqRiFKSyvrjNnOzs6Y1HdxcWnyn0Qisekkf3Z2NmbNmgUAKC4uxvfff49Dhw7hgQcewIoVKwDoJ2pNSEhA586dERkZievXr2Pp0qWtWhaVEGKbdl/JBwA80t2f40gIsT0tkpwvLCzE8ePHjbcvXLgAsViM0NBQ9OqlT9p+/PHHeOihhzBnzhz06NEDX375JXr37o2nn366JUJok4Ru7tAWFUNzTx1Bcwl3C0deVR7SytPaVnLerT0Q+ACQcwG4/icQ+wLXERFCLMilS5cAAD179qyxbODAgVi3bh2ysrIQHh5u7tAIIYS0MUKhEJ6envD09AQiIgA82OBtGWOorKxEeXERytJvoCgzGWX5GVCUF0AjKwNTVIGvVEKoUkOs0MKpSgeXSsClUl92x0uq/9Mn8Q3zh9hD5x2IsnCgzJWHIic+0gGczJLiWHwOwBjUajWKi4tRXFzcrL4LBIJmJfcNf05OThZZUs/T0xOLFy+u0W64MgMA7O3t8dtvvyE9PR25ubmIiIiAr5kHdRFCrF9aUSWu50sh5PMwKoo+QwhpaS2SnC8oKMDmzZsBAE888QRyc3OxefNmDBs2zJic79+/Py5evIjvvvsOJ06cwPTp0zF37lwIhWYZvG+TBHdHz2jLyjnZfwe3DjiRewKp5amc7J9TUY/rk/PXdlBynhAzYYyhWl3NyRdkibDho+8uXbqEdu3awc/Pr8YyQ+y1zYlCCCGEWBIejwdnZ2c4OzsjKDQMwJgGbaeslCI96RSyrp1FaWYytHm5EBVXwLVCC88yBgcl4CkFPKUMHaBFPwBT4Ijq6Ejc8eEhx90eVzR8/HUhD3l3SqDRaJoUv6HGf1lZWZO2/zdnZ2eThL3htrOzM1544QX069ev2ftoLAcHBwwbNqxB64aFhVE5WUJIkxlGzQ+I8IK7oz3H0RBie1okMx4dHY1t27Y1aL3PP/+8JXZJ8O/kfPNPOJvCUHc+rTyNk/1zKupRYP8SIOsMUJELuNKEKIS0NoVWgUGbB3Gy73OTz8HBzqFB6166dKnWUfMAkJycDA8PD/j7++PWrVvo1q0bAGDu3LlYvXp1i8VrC9avX4/169dDq9Xef2VCCCEWQ+Tkgs79RqNzv9EA9LX19+zZg6FxcRAKBMhJvohrJ3ei7OYVCHNy4XZHAZ9ifdI+LJshLFuJQQCed3VHXidPVHbwhfuwCQiOfhiVlZWQSqWQSqWoqKgw/r8hfwqFosl9kslkkMlkyM3NrbEsLi6Ok+Q8IYSYA2PMWG9+bDcqaUNIa6Bh61ZM4EHJec64+APt++mT89f/APrN4zoiQoiFuHTpEqZOnVqjnTGGzZs3Y8KECeDz+YiIiEB5eTl++uknXL16lYNILdu8efMwb948SKVSuLq2oUnHCSHEhvH4fAR16YOgLn1M2isrynFm7w8oOncQDmm58MtRw6UaCM3WAdl5wNG1yPZci6KO7mg/ciLGPfkKeI28kk6lUkEmkzUqoV/bX2Wlab18Z2fnZj8uhBBiqW4WyJBaWAl7AR8jotpxHQ4hNomS81ZMaBg5X85Ncj7UNRQAUKIoQYWyAq6iNpY8iXrsbnJ+JyXnCTEDsUCMM5POcFbWpiFKSkqQlZVV68j5d955B9nZ2Vi6dCkAfbkAsVhM5d0IIYS0eU6ubhg+aQEwaQEAQKvR4PSeH5F5aBvcbuYgOFsH/xLA/0wZcOZb/P3Ft8jr4Y/uz72LqJiBDdqHvb39P/X3m0Gr1aKystI4mj4wMLBZ90cIIZbMUNJmSKQ3XMR2HEdDiG2ijIAVE7jpk/OaUm6S8452jmjn0A4F1QW4XXEb3X26cxIHZzqPA/b+B8g+C0jzAZea9aUJIS2Hx+PBwc7BIidlMzBMBtuxY0dUVlaisrISiYmJ+PLLL3HixAns2LEDwcHBHEdJCCGEWDaBUIiBjzyHgY88BwAoykzG8e+Xgxd/FWG3NfAtAXwP5UF99HnsCLeDy+gxeOiF/zZ6NH2TYhMI4OrqSld1EUJsnklJmxgqaUNIa7HcDAe5L65rzgNAmKt+YqHbFbc5i4EzLv5A4AP6/yfv5jYWQohFuHr1KhwdHdGvXz8EBATggQcewMqVKxEbG4ubN2/ioYce4jpEQgghxOp4B3fCE+9twuO7kuD+51YkjumAPB8e7LRAp1tq+H/+Bw4P7YpNH8xAlaKK63AJIcQmnL9disySaojt+Hi4kw/X4RBis2jkvBWzhOR8qGsozuSfQXpFOmcxcKrLeCDnAnD9T6DPc1xHQwjh2IIFC7BgwQKuwyCEEEJsVnB4NII/3QUA+HvLauRv34hO1+UIKGAI+OU8zu7tjcKh0Xh0yXeQOLpwHC0hhFivDSf0gzAf7xkIRxGlDwlpLTRy3ooJOZ4QFvhn5HybTc53Hqf/N/MUUFXMbSyEEKui1WohFosxd+5cfP311xCLxUhMTOQ6LEIIIcRqDHnqNTy95TKcfv0eV/t5QG4P+JcA3bcl4fywWGxf8Sy0Gg3XYRJCiNVJL6rE4eQCAMDsAaEcR0OIbaPkvBUzjJzXlJeDMcZJDGFubbisDQC4hwB+MQDTUWkbQkijCAQClJeXQyaTobKyEuXl5YiOjuY6LEIIIcTqREQ/iIk/nkLQrh1IGtQOMgngUwZ0/t8p7B/VDce3reM6REIIsSrbL+eCMeChTj4I93biOhxCbBol562YwM1N/x+1GrrKSk5iCHXV/4KaW5kLpVbJSQyc6/yI/t/rO7mNgxBidcRisckfj8fjOiSLsX79enTp0gUPPPAA16EQQgixEt7BnfDkt38j6I8duNLXDSohEJrD4PH2emyZ2geFuWlch0gIIVbhUqa+QsOILu04joQQ20fJeSvGl0jAk0gAcFfaxlPsCWd7Z+iYDhkVGZzEwLkuj+r/vX0MkHNXYogQQmzJvHnzcP36dVy4cIHrUAghhFgZv+BOmPTTGfC+WYWbHYQQMKDbRRluPTYWu9e9znV4hBBi0bQ6his55QCAHu3duQ2GkDaAkvNWTuDuBoC75DyPxzPWnW+zpW28OgA+XQCdBri5l+toCCGEEEIIIQC69R+HR3cn4eazQ1HiAnhKgfB1f2HrpF4oLcjmOjxCCLFItwpkqFZp4SQSooMPlbQhpLVRct7KCd09AAAaC5gUts0m5wEqbUMIIYQQQoiFevT1L9Fxx25cjdFfdRydUI0rj4/AiR1fcRwZIYRYnviscgBATJArBHwqu0lIa6PkvJUzTAqrLSvnLAZDcj69Ip2zGDjX5W5yPu0IoJByGwshhBBCCCHEhE9AOCZuuYzUuSNR4Qj4lgAub6/Flv88ynVohBBiUeKz9IM/ewRRSRtCzIGS81bun+Q8dyPnDZPCtunkvE8XwLMDoFUCKQe4joYQQgghhBBSi3GvrIHnD98hNYQPew3QbedN/PZkT1RWlHIdGiGEcI4xhvMZ+s/DHu3duA2GkDaCkvNW7p+a89ydTBpGzmdUZECr03IWB6d4vH+VtvmT21gIIYQQQgghdYqI6Y9ROy8jYZAPdAC6Jspx8rEBuJlwnOvQCCGEU2fSS5BZUg1HewFiwzy5DoeQNoGS81ZOeHfkPJc15/2d/GHPt4dKp0JeVR5ncXDOUNom9RCgquI2FkIIIYQQQkid7OxFePrbY0h97iFUi4DgPIbCF17A6b9+5Do0QgjhzC9nMwEAj/UMgJNIyHE0hLQNlJy3coK7E8JyWXNewBcgxDUEQBufFNavO+DWHlBX6xP0hJA2691338WAAQMwYMAADBkyBLNmzcLFixe5DoszFy5cwOLFi7F48WIkJiZyHQ4hhBBiNH7hemg+WoJiV8CrArB/cxX2fL2U67AIIcTsCmUK7L9WAACY2jeY42gIaTsoOW/lLKHmPPCvuvPlbbjuvElpm53cxkII4dS2bdsQFhaGlStX4s0334RMJsOgQYOQmprKdWicEIlEcHNzw8GDB3H9+nWuwyGEEEJMxI6aDv/vvkeWHw+OCiBg3Q788fEcrsMihBCzOnGrGFodQ7dAV3TydeE6HELaDErOW7l/as5zm5w31J1v05PCAkCX8fp/b+0HNEpuYyGEcKK6uhrJyckYNmwYBgwYgOHDh+P777+HXC7HoUNt86qabt26YfHixYiOjuY6FEIIIaRW4dEPos/Wg0gJE8BeA4T/eAy/LZvMdViEENLqDl0vwIbj6Th3uwQA0C+cas0TYk5UQMrKGWrOa0u5mxAW+Cc536bL2gBAQG/A2Q+Q5QNpR4DI0VxHRAgxs4SEBGi1WpNEtFKp/7HOxcXyRqAoFAps2bIFP//8M3g8Xq0/IFRWVuKjjz7CsWPH4OjoiClTpmDq1KnG5Tt37sTp06drbBcdHY0pU6a0avyEEEJIS3H3DsDDW05h/7RB6JysQpct8diqegJPrvid69AIIaTVPPuzafnN2FAPjiIhpG2i5LyVM5a1kUrBNBrwhNw8pcayNhXpYIyBx+NxEgfn+Hyg8zjg/LdA8m5KzhPSghhj0FVX699nZsaTSBr8uXbp0iUIBAJ07twZAKBWq/Gf//wHwcHBGD9+fGuG2SR9+vRBTEwMQkJC8Oeff9ZYzhjDI488gtLSUrz//vvIz8/H888/j5KSErzyyisAAIlEAjc3txrbOjo6tnb4hBBCSItydHbFuK3n8ce0fuh6RY6oHdexlf8knvzvVq5DI4SQVsfjAb2CKTlPiDlRct7KCQzJEMaglUoh9ODmQzTYJRg88CBVSVGiKIGXxIuTOCxCpzH65PzNvYBOC/AFXEdEiE1gCgVS+j3Iyb4jL18Cz8GhQeteunQJfD4fw4YNg06nQ2pqKmJjY3Hq1CmTZPXWrVuxe/du+Pv7Y/78+fD392+t8Ot16tQpODs7Y82aNbUm5w8ePIijR48iOTkZkZGRAIDi4mIsX74cc+fOhb29PYYPH47hw4ebO3RCCCGkVdjZi/DoxjP4Y2o/dE2UI2p7En4TTsbE5b9yHRqpRcTbBwAI8cqZAwCAEE8HzHwwBD4uYvRs747LWWXYeCYTk2Pbw9PRHi/+ehlzBodDpdGhSKZERkkVXhveERotQ05ZNboHueHc7VLkVygwo18wPJ1EAIBz6SUI9nTE5awyKDVaPNYj0CQOqUKNs2klEAp4eDDcC2I7/ffAA9fuoEKuxqiuvriYWYb+4V6wF/IhVahxObMMAzp4QSigisPEMnTydYGrxI7rMAhpUyg5b+V4QiH4rq7QVVRAW1bGWXJeLBQjwCkAOZU5uF1xu20n54P7A2JXoLoEyD4HBHOTTCSEcOPy5csYM2YMFi5cCLlcjnXr1uHEiRMQiUTGdVavXo3z588jLi4OR44cwejRo3HlyhVO4nV2dq53+eHDh9GhQwdjYh4Axo0bhzfffBOXL19G375977uP9PR0fPvtt7h06RLKyspw48YNLF++vNZ1lUqlsQwQAEilUgD6KxDUanVDulQvw320xH1ZurbSV+qnbWkr/QTaTl+ttp88Psb8eBx7ZgxE1FUFOv0Wjx1OczH21bW1rt7cflrq45OcnAyFQgF7e3t06dKlxvI7d+7gzp078PX1ha+vr9nje3lTfI22jJJqvLur5gT0Z9JLjP9fuTfZZNmJlOJa73/t4RRkrByDs+klmPTtWZNlfq4S9A37pzb3U9+cxY18/XnLEz0D8emTMbiYUYrnN14CALyxLREA8OKQcPxnVCdM++4cruRU4I2RkZg3tENDuktIq/BwtEdplQoAlbQhhAuUnLcBQjc3qO4m57kU5hZmTM4/4PsAp7FwSmAHdBwFJG4Bkv+i5DwhLYQnFiPi4gXwOSpr0xByuRw3btzAvHnzMGDAAABA3759ERAQgO+//x6LFi0CAMyYMQOvvfYaAOCJJ56Ar6+vxZYEy8rKqjGq33A7KyurQcl5oVAINzc3Y/15e3v7OtddsWJFrYn7AwcOwKGBVy80xMGDB1vsvixdW+kr9dO2tJV+Am2nr9baT96kpbi+8X10ualG6P/+xs/yufCKGVfn+k3tZ3V1dVNDbFVLlixBamoqysrKkJOTY2wvKCjAk08+iWvXriEwMBDPPfcc5s2bZ/b4dl3JM8t+zqXXnOPtXHqpSXLekJgHgN8v5+DTJ2NwPqPmdhvPZuI/ozrhSk4FAGBnQh4l54lF6BXsjjmDw7kOg5A2h5LzNkDg7g5kZkLD8aSwoS6hOI7jSK9I5zQOi9BpzN3k/G5gxAf6wm2EkGbh8XjgOzhwkpxvqCtXrkCj0aBPnz7GNmdnZzz66KPYtGmTMTnv8a+rnD755BO89tprFpmYB/Qj+f496h/Q15g3LGuI9u3bY/HixQ1ad8mSJViwYIHxtlQqRVBQEEaMGNEiE+qq1WocPHgQw4cPh52dbV+y21b6Sv20LW2ln0Db6ast9LP64aE4/vRgdMjQIWb7KVR3ewD9xjxjsk5z+2m4UszS7NixA8XFxejevbtJ+xtvvAFfX18cOXIEAgGV8WwORxE9fsQyrHg8Gr6uYq7DIKTNoeS8DTBOCltWzmkcYW5hAID0ckrOI/xhQCACyjKAwutAuyiuIyKEmMGlS5cgkUgQHR1t0j5hwgRs3LgRKSkpiIiIMLa/8847kMlkWL16tblDbTBPT0/cvn3bpK24uNi4rKWJRCKIRCKsX78e69evh1arBQDY2dm1aFKnpe/PkrWVvlI/bUtb6SfQdvpqzf10dfdCvx9349LkMWifz6D4cA0yQrsiIqZ/jXWb2s+mPjbnz5/HiRMnMHDgQJPBAQZKpRJ79uxBTk4OOnfujIcffthkQEBCQkKt9xsREVHvxO67d+/G8ePHkZ6ejnbt2rXID+htBjO96SS2zvcFIYSQlkHJeRsg8DAk57ktaxPiEgIAyJRmchqHRRA5AeFDgVv79KVtKDlPSJswZswY9O3bF0Kh6eF11KhROHHiBNzuTuKt0Wjw/PPPIzg42KIT8wDQs2dPbNy4EVVVVcYv6efOnQOPx6sxiq4lzZs3D/PmzYNUKoWrq2ur7YcQQghpCC+/UESs/wk5z8yAdzmQ/upz8Np6EO7eAZzEk5CQgNmzZ4PH4+HmzZt48803ayTnS0tLMWTIEGg0GvTr1w8rV65E7969sX37dggEAmi1WsycObPW+//pp5/qPM5rNBpIpVK8/fbbSE5ORn5+PlauXIk5c+a0cC/bBicaOU8IIW0aJedtgNDdQpLzriEAgPyqfCg0CoiFbfxyqE5j7ibndwOD/8N1NIQQMwgJCUFISEiNdnt7e2MNegB4//33sWPHDgwePBiPPvooAOD//u//6h2hxpUJEyZg0aJFWLFiBT744ANUVVVh1apVGDt2LCcTvxFCCCFcCevSB0XvLkHV4hVon8/w9zOjMfb3C7CzF91/4xZmZ2eHDRs2oGfPnggMDKx1nXfffRcKhQLx8fFwdHREeno6oqKisHHjRsycORMCgaDOkfP1EQqF8PLywquvvorBgwfj5s2bGDhwoM0m59/ffR3fn7xdo331oVvYf+0ORnX1xWcHb9VYPu//LuOvpPwa7TKlBiGL/zLe3n+tACGL/8L47v5Y/WR38Pk8rD2cgsPJhfB2EuGdsV3w1bE0hHiIUdeZ1/qjqSiSKfHuI3UPCtPpGBb+dgU74nOx/JEoXMgoxUOdfDAuxh8Lt17BoRsF6OTrjHWTe0KrY3hv93U8NzAMfeqZIPT87VJsOJGOd8Z2wdrDKbiUWQYXiR0e7xmA06kluF1cBSexEK88HAEdY1h7OAU6Bng7i/BU7yBsvpCN/4yKRMd2zlh/NBWn04ohFvLRw0IuJlhz6BYqFRrw+TyI7QRYMLxjjXU+2H0dTmIhXh1Wc9m/Jd+R4pP9t7BwREd09mvclSa7ruRh79V8fDwhBo6if9J4uxPzsCepZvuV7HJ8cSQVS+I6Idzbqcb9/XouCxczSrFqQjcIBZZbMpSQtoKS8zbAUNZGU8ZtzXl3kTtc7F0gVUmRKc1EpEckp/FwruNoADwg/wpQng24BXEdESHEQkyYMAE9evQwaatvktTW9Nprr+HEiRMoLCxERUUFevfuDQDYsmULwsPD4enpiW3btmHq1Kn46aefUFFRgZiYGHz33XetGte9ZW0IIYQQSxA7ajr+un0D7b/4AyEZalzY9zMefOQ5s8cRFXX/K3N/++03zJkzx/jjf1hYGEaMGIGtW7fWOWL+Xrdv30ZmZibUajUSEhLg6+sLX19fTJo0CTt37oRYLMahQ4cQFFT3dx2lUgmlUmm8baivr1arGzx/DZdqS8wbXM+X4np+7fMF1JaYr41Wp69z82dCHuK6tsNDkd4myf5DNwqM//+8X+1z/ny8/yYA4Mme/ohoVzMZCwCHbxRiR3wuAGDZzmsAgN2J+WjvLsbOuxPrXs4qx+tbE6DQ6HA5qxwHrxcg5f0Rdcb+5DdnAAAHrxeYtCdkl5vc/v5EOhgYLmf9027YJj6rDGcXDzH2AQCOQIBnHuP2taHTMaw5lGLS9nz/9hDZ/XOlQ06ZHN/dfX3MGRgCAb/uOaSe/PoMpAoNzqQXI+GthwH881ze733w8qZ4AEC4lwPmP/TP5MEv/apvD/V0wKsP/9M+fv0pAEBKgQyHXhuAey3dkQQAGNjBA2O7+YEx/WtQo9a0ynuyof20dtRP29PcvjZ0O0rO2wDB3TIJ2vJyTuPg8XgIcQlBYnEiJecBwMkbaN8XyDoD3NwDxL7AdUSEEAsRHR1doy49V+bNm4cpU6bUaA8I+Ocy/WHDhiEnJwe3bt2Cg4NDrVcHtEZcVNaGEEKIJRozdwW2FWTBq/MDGMJBYr4hysvLcefOHURGmn4n69SpE7Zu3drg+1m9ejWOHz8OPz8/zJw5E3PmzMGcOXOwcuVKvPPOO1i4cCFCQkLqvc8VK1Zg+fLlNdoPHDgABweHhneqVraV0jh59iIUaQz19evgwYO1tOrXP3zsOFJqz83jQhEPQM0SOidPnTLZX0peCVQ6ANAnmvfs2VNPxA17/PMLC+/+r+Yo7ZIq1d19/HNfDLw6+mk++t9MTPu3d99+2P/rISyQ/7PO3r17UU9uHlKFfr0qpbbGY3r/vuq3jb+eij2KWzXbb6Rij7Jme1ZpVR3Pn3756YsJ4OfEQ6USAODh+InjSGnuW7IeXD+n5kL9tD1N7Wt1dXWD1rOtI1kbZUzOV1RwGwj0pW0SixORIc3gOhTL0GmMPjmfvJuS84QQi9ShQ4f7rwT9JexdunRp5Wj+QSPnCSGEWLIJ7/4f1yHUSyaTAYBxvhsDNzc347KGWLt2ba3tYrEYq1atatB9LFmyBAsWLDDelkqlCAoKwogRI5o9kewrZw40a3tL0717d8TF+NXbr+HDh9eYQNiwfv/+/REdUPugBnVCHn5JvVqj/cF+D2LN1fPG246OjuCrtahQ6a92iIuLqzOWhj7+Xp5eAIBbFbVf7R8XF1fjvmrrpznpdAyvnTVNyI0cORKSf2Xn04qq8GGCfpT66NGj6x05/+/+GR5TtVqNgwcP3revhm2Dg4MRF9e5Rnv79u0RF9elRjt4vFqfP8Pyrl27Iq5PEN69chRVGjUGDRxU55UXzdHQflo76qftaW5fDVeK3Q8l522A4O6IQq5HzgP/TAqbUZHBaRwWIzIOOPAWkHEKqC4FHOqu10cIIeQfNHKeEEIIaTrDiPR7EwMVFRVmn+NGJBJBJKpZl9/Ozs7mEzuNJRQK7vuY1Pe4CYXCOpcJhLVPPCsQmqaFeDweePgnydwSzxGvviHldeyD69eH7m65oX/Tx/TP4yj812NnZ2dXb3L+3vupeb/37yufz691vbraa9vXvwkE+tcbj6ePW2hX9+unJXD9nJoL9dP2NLWvDd2GZn6wAf+UtbGMkfMAaOS8gWc44NMFYFogpe1c8kMIIYQQQgjhjqenJzw9PZGWlmbSnpaWhoiICI6iIoQQQsi9KDlvAwzJeZ1UCsbx5f/BLsEA9Ml5w6QibV6nMfp/k3dzGwchVoo+S2qix4QQQggh9zN+/Hhs3rzZOCFdQUEB9u3bh8cee4zjyAghhBBiQGVtbIChrA0Yg1YqhdDdnbNY2ju3Bw88yFQylCpK4Snx5CwWi9FpDHD8YyD1MKCWA3YSriMixCoIBPpLRlUqVa2XQrdlhollbPkyQqo5TwghhNSttLQUP/zwAwCgsrISJ06cgFAoRGhoKJ544gkAwPvvv4++ffvioYcewqBBg/D777+jW7duePbZZ7kMnRBCCCH/Qsl5G8CzswPf0RG6qipoy8s5Tc6LhWL4O/kjtzIXGdIMSs4DgF93wCUAkOYC6ceAyFFcR0SIVRAKhXBwcEBRUREEAgFUKhUUCgX4fNu+6Eun09XZV8YYqqurUVhYCDc3N+MPGLaIas4TQgghddNqtbhz5w4AGJPtd+7cMZkA1t/fH4mJifj111+Rm5uLN998E5MmTbLpH/cJIYQQa2ORyfnff/8darUaXl5eGDZsmMmy5ORkZGRkoE+fPvDwoMk1DQRubsbkPNeCXYKRW5mLTGkmerXrxXU43OPx9KPnz3+rL21DyXlCGoTH48HPzw+3b99GVlYW5HI5JBKJccIiW8UYu29f3dzc4Ovra+bICCGEEGIpvL298cknn9x3PTc3N7z44otmiIgQQgghTWGRyfldu3bhzp07KC8vN0nOr1u3Dh9++CG6deuGa9eu4e+//0Z4eDiHkVoOgZsb1Lm5FpGcD3EJwem808ioyOA6FMthSM7f3AvotADfdke7EtKS7O3tERERgerqahw7dgyDBg2y+dFearUax48fr7OvdnZ2Nj1i3oDK2hBCCCGEEEIIsXUWmZz/6aefkJCQgDlz5hjbVCoVli9fjvPnzyM0NBQrVqzAp59+ii+//JLDSC2HYVJYbUUFt4EACHENAQDclt7mNhBLEtwfELsC1cVA9nkguB/XERFiNfh8PkQiETQaDcRisc0n5wUCQZvpa32orA0hhBBCCCGEEFvX6OR8ZWUlfv31V1y+fBnPPPMM+vTpU2OdzMxM/PLLLygqKkKPHj0wZcoUCIX6XVVVVWHXrl213ve4cePg6OhY67KcnBy4u7sjNDQUADBixAjMnz+/seHbLMOksJYych4AMqWZ3AZiSQR2QMdRQOIWfWkbSs4TQgghhBBCCCGEENKmNWpWve3bt6Njx444f/48vvnmG9y6davGOgkJCYiOjkZ8fDy8vLzw3nvvYezYsdDpdACA6upq/PHHH7X+VVdX17lvpVIJkUhkvC0SiaBQKBoTvk0zjpy3oOR8tiwbGp2G22AsSWSc/t+be7mNgxBCCCGEEEIIIYQQwrlGjZyPjo5GcnIyXFxc8P3339e6zsKFCzFo0CBs27YNADB58mRERERg+/btmDBhAry9vbF58+ZGBxoYGIjs7GzjJHnXrl1DSEhIo+/HVllScr6dYzuIBWIotArkVuYi2CWY65AsQ/hDAN8OKE0DilMArwiuIyKEEEIIIYQQQgghhHCkUcn5iIj6k4kymQx///03Nm7caGwLCwtDv379sHPnTkyYMKFB+9m/fz8SEhJQUlKCzZs3o0+fPggLC8OoUaMwefJkjBw5Eh999FG99eaVSiWUSqXxdsXdWuylpaVQq9UNiqM+arUa1dXVKCkpsYiawDI7ISq1WrA7d2BfUtJi99vUfvoJ/JBamYormVfg5O/UYvG0FnM9nwKfPuBnnoT24jboHni+1fZTH0t77bYW6qdtaSv9BJrfV5lMBgBgjLV0aGZlmBBWo9FfgSWVSlvkfg2Pr1QqbTOvJVvvK/XTtrSVfgJtp6/Uz4YxHOes/fjdEIY+tsSxXaes++p7a1RdKYNUKq2zX9XVmlpfY4b1K2VSSKW1F0iorpTVer+VMtP9aRSARqWF7m4+pb7nqaGPv6paDB6v7vVr6zPXnxk6Has1JrW9wHhbJqs0riOVSiHg8+q+v3/dl+ExbejnhmFbZXWlyfNxv/Z/76u2+5NX6V9vWkUVdEq1/vUjafnPIDoO2Ja20k/AfMd2Hmvi0Z/H42Hjxo2YOnWqsS0hIQE9evTA6dOn0a/fPzW1p02bhrS0NJw+fbpB97148WJkZGQYb7/wwgsYOnQoFAoF1qxZg9u3b2Ps2LEYN25cnffx7rvvYvny5Y3vGCGEEGIDsrOzERgYyHUYzZaTk4OgoCCuwyCEEELMwlaO3/WhYzshhJC25H7H9kZPCFsfuVwOAHB2djZpd3Fxqbee/L1WrlxZa7tYLMbixYsbdB9LlizBggULjLd1Oh1KS0vh6ekJHq/uXzMbSiqVIigoCNnZ2XBxcWn2/Vkq6qftaSt9pX7alrbST6D5fWWMQSaTwd/fvxWiMz9/f39kZ2fD2dmZjt+N1Fb6Sv20LW2ln0Db6Sv1s2Fs7fhdHzq2Nw310/a0lb5SP21LW+knYL5je4sm5w2Blt9T97ysrMzsT5hIJDKZQBYA3O7WZW9JLi4uNv9iBKiftqit9JX6aVvaSj+B5vXV1dW1haPhDp/Pb5URhPRasj3UT9vSVvoJtJ2+Uj/vz5aO3/WhY3vzUD9tT1vpK/XTtrSVfgKtf2yvvRhZE4WHh0MkEuH69esm7devX0dUVFRL7ooQQgghhBBCCCGEEEIIsVotmpwXi8V49NFH8d1330GlUgEATpw4gStXrmDSpEktuStCCCGEEEIIIYQQQgghxGo1qqxNcnIy1qxZY7z9448/4uTJkxgwYIBxYthPP/0UQ4cORY8ePdClSxfs378fCxYswODBg1s0cK6JRCIsW7asRukcW0P9tD1tpa/UT9vSVvoJtK2+cqEtPb5tpa/UT9vSVvoJtJ2+Uj9Ja2srjz310/a0lb5SP21LW+knYL6+8hhjrKEr5+bmYteuXTXaO3fubJJ8VygUOHjwIEpKStCjRw/ExMS0TLSEEEIIIYQQQgghhBBCiA1oVHKeEEIIIYQQQgghhBBCCCHN16I15wkhhBBCCCGEEEIIIYQQcn+UnCeEEEIIIYQQQgghhBBCzKxRE8K2JcePH8f69etRUFCA6OhoLF26FH5+fi2+DdcyMzOxYsUK3LhxA4GBgXjllVfQp0+fOtc/dOgQ3nrrrRrt+/fvh6ura2uG2izl5eX4+eef8fvvvyMmJgZr16697zZVVVVYtWoVTpw4AScnJ0ydOhVPPvmkGaJtOrVajR07duCnn35CVVUVjh07dt9tHnvsMeTn55u0TZkyBS+//HJrhdlshYWF+Oqrr3Du3DmIRCIMGTIEc+bMue8kHYcOHcI333yDoqIi9OjRA0uXLoW3t7eZom48pVKJn376CQcPHkRlZSW6d++OV199Fb6+vnVus3PnTnz44Yc12o8fPw57e/vWDLdZ4uPjsWHDBiQnJ8PHxwcTJkzAhAkT6t2moqICK1euxNmzZ+Hq6opZs2Zh/PjxZoq4afLy8rB+/XpcuHABDg4OGDp0KJ5//nlIJJI6txk1ahTKy8tN2p599lk8++yzrRytdVIqlVi9ejUOHToEkUiEiRMnYubMmS2+jSX49ddfsWnTJlRVVWHIkCF4/fXX4eDgUOf6s2bNwo0bN0zaxowZg7fffru1Q22WCxcu4KuvvsL169exZs0a9O3b977bnD59Gl988QXy8/PRpUsXLF26FIGBgWaItumysrLw7bff4siRI5g6dSpefPHFetc/fvw4/vOf/9Ro37Vrl0Uf2w4dOoRNmzYhIyMDwcHBeOGFFxAbG1vvNtXV1fjkk0/w999/w9HREU8//TQmT55spoib5saNG/j222+RlJQELy8vPPbYY3jyySfB4/Hq3GbSpEnIyMgwaZs4cSIWLlzYytE2nUqlwg8//IADBw6gqqoKXbt2xcsvv4yQkJB6t/v777/x5ZdforCwEN26dcPSpUvrPb+xBHv27MGWLVuQnZ2NkJAQPPvss3jwwQfrXH///v1YtmxZjfZDhw7BycmpNUO1OQkJCfjss8+QmZmJiIgILF68GB06dGjxbbhWVFSEDz/8EPHx8fD29sYLL7yAYcOG1bl+YmIinn/++RrtGzduRERERGuG2izV1dXYtGkTfv31V3h7e2Pz5s333UalUmHt2rXYv38/hEIhHn/8cTz77LP1fqZyTafTYd++ffjuu++Ql5fXoJzJCy+8gCtXrpi0DR8+HO+//35rhtosFRUV+Pbbb3HixAkwxtC3b1/Mnz8fzs7O9W53/vx5fP7558jJyUHnzp2xZMkSBAcHmynqxtNqtdi0aRP++usvFBcXo0uXLnj11VcRGhpa5zZnz57Fq6++WqN927ZtFn1empKSgi+//BJJSUlwc3PDmDFjMG3aNAiFdaeQFQoFPvvsMxw+fBhisRhPPfUUpk+fbsaoG6+srAzr16/H6dOnIRAI0K9fP7z44otwc3Orc5vp06fj1q1bJm3jx4/HkiVLmhULJedrcfToUYwYMQKLFi3C9OnT8cUXX6B///64cuVKnR8wTdmGa4WFhejXrx/69euHxYsX48CBAxg0aBBOnjyJ3r1717pNcXExkpOTsW/fPpN2R0dHc4TcJCUlJejWrRsef/xx2NnZ4fr16/fdhjGGsWPHoqysDO+++y5ycnIwffp0lJaWYs6cOWaIumkGDRqEwMBABAUF4X//+1+DtomPj8fkyZPxyCOPGNv8/f1bK8Rmq6ysRN++fTFjxgy8/PLLqKiowNtvv42//voL+/btA59f+wVBf/31F8aPH49ly5ahR48e+PTTTzFo0CDEx8dDLBabuRcNM3bsWERERGDSpElwcnLCmjVr0KtXL1y+fBnt2rWrdZvCwkJkZmZix44dJu12dnbmCLlJjh49imXLlmHatGmYOHEikpKSMHPmTNy6dQtLly6tdRutVosRI0YAAN58802kpKRgwoQJ+PHHHzF16lRzht9glZWVGDFiBGbOnIlFixbhzp07ePfdd7F//37s2bOnzu0uXryIV1991eTLmSWfzHFt8uTJSExMxIoVK1BeXo758+cjJyen1h+Wm7MN11avXo233noLn376KXx8fPDWW2/h9OnTNY7P/5aUlITY2FhMmzbN2GbJSVwAeP/99/Hnn3/i6aefxo8//ljjh6ranD59GkOGDMFrr72GadOm4auvvsKDDz6IK1euwN3dvfWDboJjx45h5syZmDVrFvLz85GVlXXfbUpLS5GYmIgjR46YtFvyYIlPP/0U+/btw9NPP40pU6bg8OHDePDBB7Fjxw6T85B7Pf7448jOzsb777+PgoICPPvssygsLKz1C68lOHPmDJ5//nnMnj0bY8aMwa1btzBnzhzEx8dj5cqVdW6XkJCAsWPHmvw4bekJ6+nTp8PPzw+zZs2CQCDAN998gz59+iAhIaHO88lDhw5h9OjRWLp0KWbMmIHPP/8cAwYMQEJCgsUmrT/77DOcPXsWjz76KHx9fY3fm3bv3o1Ro0bVuk1RURFSUlLw119/mbTX94M8qenq1asYMGAApk+fjsWLF+Pnn39G3759kZCQUOf5UFO24ZpcLsegQYPg5+eH119/HZcvX8aoUaOwc+dOxMXF1bqNVCrFuXPncOzYMZNBOAEBAeYKu0k6deqEYcOGwcPDAwkJCQ3aZtasWTh16hRWrVqFqqoqLFiwAJmZmfjggw9aN9hmmDBhAuRyObp27YodO3ZArVbfd5tr166ha9euJoNwvLy8WjPMZuvbty8eeeQRPPfcc9BqtXj//fexbds2nD59us7Pu4sXL2LQoEF48cUXMXXqVGzYsAH9+vXDlStXLPbcdObMmeDxeHjkkUfg5eWFH3/8Ed27d8f58+cRGRlZ6zbl5eW4ePEiTp48adJuqX0EgJs3b2LKlCmYNWsWHnnkEaSmpmLRokW4cOECvvzyyzq3mzRpEm7cuIH//ve/KCsrw7x585CXl4fFixebMfrGefjhh/HYY4/h1VdfhVQqxYcffojffvsNly5dqjOvlJiYiEGDBpkMEvHx8Wl+MIzU8OCDD7KnnnrKeLuqqoq5uLiwTz75pEW34drSpUtZYGAgU6vVxraHH36YjR07ts5tNm3axDw9Pc0RXotRq9WsqqqKMcbYjBkz2MMPP3zfbfbs2cMAsJSUFGPbsmXLmJeXl8njZWnKy8sZY4xt2LCBiUSiBm0THBzMNmzY0JphtSiNRsOqq6tN2k6dOsUAsCtXrtS5Xbdu3djs2bONt8vKyphYLGZff/11q8XaXDKZzOS2XC5nzs7O7PPPP69zmw0bNrDg4OBWjqxl3ft8MsbY/PnzWUxMTJ3bbN26lfH5fJaTk2NsW7hwIQsKCmI6na41wmw2jUbDFAqFSdvWrVsZACaVSuvcztPTk23atKm1w7MJFy5cYADYmTNnjG1ffPEFk0gkdT7GTdmGawqFgrm6urKPP/7Y2BYfH88AsL///rvO7Xr16sVWrFhhjhBbjOG4VlRUxACwvXv33nebhx56iI0fP954W6FQME9PT/bBBx+0VpjNJpPJmEajYYwxFhUVxRYtWnTfbXbs2MEcHR1bO7QWde9xjTHGJk6cyIYOHVrnNkeOHGEAWFJSkrFtxYoVzNXVtcZnqqWoqqpiWq3WpO3zzz9nEonE+DzXJjIykn3xxRetHV6LMpxjG8jlcsbn89nGjRvr3KZPnz5sypQpxtsymYw5OTmxNWvWtFqczXVvPxnTf//797nlvTZu3MjatWvXmmG1CU8++STr37+/8bZGo2Hh4eHs1VdfbdFtuPbll18yiUTCKioqjG0zZsxg3bt3r3ObEydOMABMLpebI8QWYzi2v/nmmywyMvK+6ycmJjIA7OjRo8a2DRs2MHt7e1ZaWtpaYTaboZ979+5lAFhRUdF9t+nfvz9btmxZK0fWsu49tmdmZjIA7K+//qpzm7i4ODZy5EjjbZVKxfz8/Nhbb73VanE217391Gq1LDw8nL3xxht1brN3714mEAhaO7QWpVAoapzDrFq1qt484OnTpxkAduHCBWPb6tWrmaOjI6usrGy1WJvr3mO7oR83btyoc5uYmBiT72AthWrO36O6uhpnz57FuHHjjG0ODg4YNmwYDh061GLbWILDhw9j1KhRJpemjB8/HocPH4ZOp6tzu8rKSsTFxWHUqFFYtGgRCgsLzRFukwmFwnov86/N4cOH0alTJ5NLH8ePH4/i4uIal5lZkqaOlvvqq68wZMgQTJs2DX/++WcLR9WyBAJBjV/gDaOsVCpVrdsUFxcjMTHR5D3q5uaGQYMGWfR79N7RY/b29rC3t6+znwYlJSUYNWoU4uLisHTpUpSUlLRmmM127/Mpl8tx4cIFxMTE1LnN4cOH0bNnT5ORQePHj0d2dnaNy8wshUAgMCm9xBjDiRMn0KFDh/uOFFy9ejWGDBmCGTNm1Dsyuq07dOgQvLy8TMqejB8/HnK5HKdPn26xbbh24cIFVFRUmHymde/eHe3bt7/vZ9qvv/6KwYMHY/Lkydi0aVNrh9psjT2uqdVqnDhxwuSxEYlEGDlypMV/3gsEgkZvp1QqMWbMGIwcORKvv/56jTJ1lqa2zzonJ6d6j2uHDx9GcHAwunbtamwbP348KioqcPHixVaJs7kcHBxqjLhycnKCRqOBVqutd9vvv/8egwcPxpQpU/D777+3Zpgt4t5z7FOnTgEAoqOja11fJpPhwoULJu9RJycnPPTQQxb9Hr23n3l5eUhNTa33XAXQj2wePXo0Ro8ejcWLF6OoqKg1w7RJhw8fNnm9CAQCjBkzpt7XS1O24drhw4cxePBguLi4GNvGjx+PhIQEFBcX17vtE088geHDh+OVV16pURrLEjX22H748GG4uLhg0KBBxrbx48dDpVLh+PHjLR1ei2nqd/Nt27Zh8ODBmDRpEjZu3AjGWAtH1rLuPbYbqirUdWzX6XQ4evSoyXvUzs4Oo0ePtuj36L395PP5cHBwuO93c51Oh7Fjx2LEiBFYsGABcnJyWjPMZhOJRCbnMBqNBmfOnLnvd3NfX1+TChzjx49HVVUVzp4926rxNse9x/bjx4/D09Pzvlcfbdy40fh9asuWLS0SCyXn75GdnQ2dTlfjMkx/f39kZma22DaWIDMzs9aY5XJ5nScAPB4PEydOxAsvvIAXXngBFy9eRJcuXSz+A6ax6npsDMtsSWhoKGbNmoW33noLnTp1wuTJk/Huu+9yHVaj/Pe//0VISEidBwzDc2Zt79F7ffPNN6ioqMCYMWPqXIfP5+Opp57CSy+9hNmzZ+P48ePo2rWrVXwZnDRpEnr37g0/Pz+EhYXh66+/rnNda36PrlixArGxsQgICMCZM2dw5MiReutlduzY0fgeDQkJwWOPPYZPPvnEjBFbj9peF35+fuDxeHW+LpqyDdea+pnm7++PmTNn4u2330avXr3w4osv4qWXXmrVWM0tLy8ParXa6j/vG4LH42HChAl47rnnMHfuXFy9ehVdunTB7du3uQ6twVJTU7FlyxY8+uijda6TmZlZ40uStXzeGxjqsMbFxdU7/0v79u0xa9YsvP3224iOjsbMmTMt+nJwg1OnTqFv377o3LkznnzySezcubPOc7KsrCwwxqzyPSqXy9G3b190794dHTt2xMsvv1zvZ6jhe9PcuXPx3HPP4dy5c4iKikJeXp4Zo7ZuVVVVKCkpadTrpSnbWIL6zm3rK3U2btw4zJo1C/Pnz0dubi66dOmCxMTEVo3V3DIzM+Hr62uSMPT29oadnZ1FP6dN0a5dO8yYMQNvv/02+vbti1dffRXPPfcc12E1yocffgg3NzcMHjy41uVFRUWQy+VW9x69165du5CUlHTfOc+eeOIJzJ49G/PmzUNKSgq6dOlisYPJ/m3+/Pno06cP/Pz8UF1djW3bttW5bm2fX4ZzN0t/Tr/77jv07dsXISEh+OGHH3Ds2LF6S5MHBAQYv0/16NEDL7zwQouUWaSa8/cw1AG7d2JJiURSZ42wpmxjCdRqda0xG5bV5tFHH8VTTz1lvD1mzBh07doVH3zwQb2JNGvTlMfGWu3bt8/Y12HDhsHT0xMvvfQSXnrpJYuvbwfoD/47d+7E4cOH66yrbq3v0X87evQoXnvtNaxatQqdO3euc70pU6bgmWeeMd4ePXo0OnXqhI8++sjiE7pLliwx1uV777338PXXX+O1116rdV21Wl3joGkt79GnnnoKgwcPRkpKCj744AMsWLAAv/32W53rHz161OQ96uzsjDfffBNz58616Pk+uFDbZ7dQKIRQKKz3GN7YbbjW1M+03377zeS1FBwcjIkTJ+KVV16x6InjGsMWPu8batSoUSZfCMeOHYvu3btj+fLl+Omnn7gLrIFKSkrwyCOPGJMPdbH2czKdTodp06ahoqICX331Vb3r7tq1y+Q96uvri9mzZ+Pll1+26BrSUVFRWLNmDYqLi/Htt9/ipZdeQkxMTK21va35PSoSibBmzRpUVlbiwIEDWLlyJWJjYzF8+PBa158wYQKmTJlivD1mzBh06dIFH374IdatW2eusK0afTev/7PugQcewM6dO423x40bhwEDBmDp0qXYvXt36wVrZrU9NgAgFost+jltil9//dXkONChQweMGzcOr7zySp1XJFmSn3/+GZ9//jm2bdtW5zw/1voe/bfExERMmzYNCxYswNChQ+tcb+jQoSbzkowbNw69e/fGO++806CJkLk0d+5cTJw4EVevXsXy5cvx3//+t858Qm3vUTs7O/D5fIt/TkeNGoWoqChkZmZi1apVmDt3br25pe3bt5u8R4OCgjB58mTMnz8fYWFhTY6DRs7fw8PDA4B+kq1/KykpgaenZ4ttYwk8PDxqjZnH49X5QXrvG87e3h6DBg2y6FIvTVHXYwPAop/Tprj3OR02bBi0Wi2uXbvGUUQNt3r1arz//vv4448/8OCDD9a5nrW+Rw0MJRqWLFlSZ7La4N7n08HBwTgRoqWLiYnB4MGDsXDhQrz33ntYsmRJnQdza36PhoWF4cEHH8SMGTOwefNmbNu2DWfOnKlz/dreoyqVCsnJya0dqtWp7XUhk8mgVqvrPYY3dhuuNfUzrbbXEgCbGmFn7Z/3jVHbj0pDhgyxis/70tJSDB8+HJ6envjzzz9NSizey5o/73U6HWbOnInTp0/jyJEj8PPzq3f92t6jOp0OV69ebc0wm83NzQ19+/bF2LFjjRPSf/HFF7Wua83vUT6fj759+2LYsGFYtWoVHnvssXonDr/3+RSJRBg4cKBVvEcthbOzM+zs7Br1emnKNpagKZ91tSWshw0bZnOvsdoeG5VKBZlMZtHPaVPc+5w+/PDDAKzjXG3z5s149tln8cMPP9R7RZy7uzt4PJ7VvUcNrl27hmHDhuHJJ5+87+C3e59PPp+Phx56yCreo507d8bAgQMxd+5crF+/Hp999hlyc3NrXbe292h5eTl0Op3FP6eBgYHo168fJk2ahD179uDkyZP4448/6ly/tnM1xhiSkpKaFQcl5+/h7+8PX19fXLhwwaT93Llz6NGjR4ttYwl69uxZa8yRkZGNqtF+584dmxu92bNnT1y9ehUKhcLYdu7cOfD5fHTr1o3DyFrfnTt3AMDin9PPP/8cS5cuxY4dOzBy5Mh61w0PD4erq2uN1/v58+ct+j0K6C8Vj4uLw8KFC7Fs2bIm3Yc1vkf9/PygVCpRWVlZ6/KePXsiISEBGo3G2Hbu3DnY2dkhKirKXGE2myFRc79aov9mLe9RLvTs2RMZGRkmj+e5c+cAoM73elO24Zohrn9/pkmlUiQnJzcqZlt8LXl4eCA4ONjqzslaijV83peVlWH48OFwcHDA3r177zvnRs+ePZGcnGxyPDC8R7t3796aoTaLTqfDM888g0OHDuHo0aNNujrFGt+jAoEA3t7edR7XgoKC4OXlZZXnZPfy8/Nr1PEbsI73qCURCATo1q1boz7Tm7KNJejZs2eNeTTOnTsHV1dXhIaGNvh+bPE11rNnT+Tl5ZmUhDp//jwAyz1XaykFBQUALP84sHXrVsyYMQMbNmzA9OnT613X0dERHTt2tLr3KABcv34dDz30EMaPH49vvvmm3tKkdbHG96ifnx8YYzUS8AY9e/ZEWloaysrKjG2W/n2qNl5eXrCzs+Pmu3mLTzFrA5YuXcr8/f1ZTk4OY4yxbdu2MR6Px86fP29c58MPP2STJ09u1DaW5sCBA4zP57NDhw4xxhhLSUlh7u7uJjMP79u3j8XGxhpnGl+7di0rKCgwLt+2bRvj8/lsw4YN5g2+iWbMmMEefvjhGu15eXksNjaWHTt2jDHGWEFBAXN2dmbvv/8+Y0w/i3OvXr3Y+PHjzRluk23YsIGJRKJal40bN46tXbuWMcbY2bNn2a5du4zLioqKWP/+/VlkZCTTaDRmibUp1q5dy8RiMdu7d2+d67z11lts9uzZxtvz589noaGhxtfvTz/9xAQCAbt69Wqrx9tUp0+fZs7Ozuydd96pc53t27ez2NhYplQqGWOMffbZZ6ykpMS4/Oeff2YA2KZNm1o93qb6+eef2a1bt4y3i4qK2IMPPshiY2ONbWlpaSw2Ntb4mZqVlcXEYjFbvXo1Y4yxiooKFhUVxaZMmWLW2Bvj6NGj7PDhw8bbCoWCzZ07lzk7O5s8Z8OGDTN+ph4/fpwdOHDAuCw/P5/16tWLde/e3XyBWxGZTMZ8fHzYK6+8whhjTKVSsYceeoj179/fuE51dTWLjY1lf/75Z4O3sUQjRoxg/fv3Z3K5nDHG2OLFi5mbmxsrLS01rjNt2jT23nvvMcYYu3btGtu0aRPT6XSMMf17ZvTo0czf359VVVWZvwONVFRUxADU+rn/ySefsAkTJhhvv/fee8zHx4dlZGQwxhjbtWsX4/F47MSJE2aLtzmioqLYokWLarQfOXKExcbGssLCQsYYY+vWrWP5+fnG5Tt37mQCgYB98cUXZou1scrLy1mvXr1Y//79mUwmq3WdkpISFhsbyw4ePMgYY6y0tJS5ubmxN998kzHGmFwuZ/369WMjR440W9yNpdPp2KxZs5i/vz+7efNmnetNmDCBffLJJ4wxxi5dusS2b99uXFZSUsKGDBnCQkNDmUqlavWYm0Imk7HPPvuMqdVqY9v27duZQCBgv/32m7HtvffeY9OmTTPe/s9//sMCAwNZXl4eY4yxzZs3Mx6Pxy5dumS+4BtpzZo1Jsfq5ORk5ufnx+bNm2ds2717N4uNjTW+ttesWWN8vzL2Tz9//PFHs8VtC7788kvm4uLCrl27xhhj7MSJE0woFLIdO3YY19mwYQMbNmxYo7axNElJSUwgELCNGzcyxvTfR4ODg43nJ4zpPydiY2ON580bNmxgt2/fNi4/duwYk0gkbNmyZWaMvOnefPNNFhkZWaNdo9Gw2NhY4+eIXC5nAQEB7IUXXmCMMaZWq9moUaNYr169zBpvU+3du5cBYEVFRTWWzZ49m7311luMMcZu3brFfv75Z+O5mkwmY+PHj2fe3t5MKpWaNebG+O2335i9vT376aef6lxn7dq1bNy4ccbbq1atYp6eniw1NZUx9k9uynDst0TJycmsXbt27NlnnzU+R/c6efIki42NZdnZ2Ywxxr766itjjpAxfX7Nzs7OJOdmaXbs2MEuX75svC2VStn48eNZcHCwMUckk8lYbGws2717t3EdLy8vtnDhQsYYY0qlkg0ePJgNHjzY7PE3VEJCAvv999+NtzUaDVu+fDkTCoUmuYnJkyezDz/8kDHGWGJiItuyZYtxWVlZGRsxYgQLDAw0fidrKkrO10KhULCJEycysVjMIiIimEQiYevXrzdZZ/bs2SwqKqpR21iilStXMrFYzDp27MhEIhGbOXOmSVJ248aNJgeSLVu2sJCQENaxY0fWvn175uLiYvxSYcnGjRvHYmNjmZeXF3NxcWGxsbEmiZfbt28zACYnbHv27GFeXl4sODiYubi4sH79+pn8MGGJ3nrrLRYbG8vCwsIYj8djsbGxLDY21iQBHRAQYPzQzM/PZxMnTmSenp6sa9euTCKRsOHDhxsPkpYoJyeH8Xg85uXlZeyf4e/fB/OnnnrKJLlbVVXFxo0bxyQSCevQoQNzcnKy+C9HERERzN7evkY/P/roI+M6X331FQNgPBj873//Y0FBQSwyMpIFBgYyDw8Ptm7dOq660CAnTpxgPXr0YO3bt2dRUVFMIpGwRx55hGVmZhrXSUpKYgBMnuPff/+dubm5sdDQUObk5MSGDBlikpi0NJmZmeyRRx5h3t7eLCYmhrm6urKePXvWSBi6uroav1RlZWWx8ePHMy8vL9a1a1cmFovZmDFjTB4bYurEiRPM39+fBQQEMHd3d9atWzeTL64ymYwBMPlR+X7bWKLc3FzWu3dv5urqyoKCgpiPj4/xx3aDmJgYNmPGDMaY/uRx5syZzN3dnUVHRzNHR0fWv39/lpSUxEH0DXfw4EEWGxvLevXqxQCwTp06sdjYWJNzrHnz5rHw8HDjbZVKxaZMmcJEIhGLiIgw+SHPUhkS0rGxsUwikTB/f38WGxtr8iPzb7/9xgAYv/Bt376dhYeHs4iICBYSEsKcnZ3Zhx9+WOcXRkvwxhtvMACsa9euJse1uLg44zr5+fk1flQ+ePAg8/HxYe3bt2eurq7sgQceYLm5uVx0oUH+/PNPBoAFBwfXOIYbnj/GGAsPDzcmdwsLC9nkyZOZh4cH69q1K3NwcGBDhw6tN7nPNY1Gw5YsWcI8PT1ZdHQ0CwwMZN7e3mzNmjUm682YMYPFxMQYb8vlcvb4448zsVjMOnTowBwcHNjXX39t5ugb55dffmHBwcEsMjKSdezYkUkkEjZnzhyTHzd//PFHBoCVlZUxxhj79ddfWXBwsPF7k6urK/vss8846oH10ul07MUXX2T29vbG76xvv/22yTrLli1jrq6ujdrGEv3www/MycmJdejQgUkkEjZu3DiT19jRo0cZABYfH88Y0yc0u3TpwkJDQ1l4eDiTSCRsyZIlJj+YWaLZs2ez2NhYFhAQwMRisfHz0fADmFqtZgBMfmw+e/YsCwoKYv7+/szT05NFRUWxlJQUrrrQIGvXrmWxsbGsU6dODADr1asXi42NZUeOHDGuExsby5566inGmH7gxLPPPms8V3NycmKxsbHG59sSaTQaZmdnx5ydnWsc7/7v//7PuN7ChQtZQECAyXYzZ85kIpGIdezYkYnFYrZy5UouutBgQ4cOZTwej/Xp08ekn4bcCmP6ASEAjK/NXbt2sYiICBYeHs5CQ0OZo6MjW758OdNqtVx1474SExPZoEGDmL+/v/E7w5AhQ0xySmVlZQyAST7l2LFjzM/PjwUGBjJ3d3fWvXt3i/7OWlxczKZNm8Y8PDxYTEwM8/T0ZJGRkWznzp0m60VFRRnPx0tKStj06dOZh4eH8bEZOHCg8Yfg5uAxxljzxt7brry8PBQUFKBDhw41Jh5MT09HZWVljRIn9W1jqSoqKpCeng5/f3+0a9fOZFlxcTFSU1PRu3dvYz1QxhjS09MBAMHBwfXWCbUU8fHxUCqVJm08Hg+xsbEAAKVSifj4eERGRprU21epVLhx4wacnJwQHh5u1pibIjU1tdZLcLp27Wq8bDw+Ph6enp5o3769cblUKkVmZiaCgoLg5uZmrnCbxPBc1SYiIsJY0yw1NRVKpbJGiZPs7GyUlJQgIiLC4i8nq+11CwDt2rUzXt5aWFiI9PR0xMbGGi+r0+l0SE1NhVAoRHBwMAQCgVnjbqrc3FyUlZWhffv2cHFxMVkml8tx5coVdOnSxWSZQqFAcnJyoy/55VJFRQUyMzPh6+sLHx+fGssvXrwIX19fk4n0ysvLkZ2djeDg4BqPDalJo9Hgxo0bEIlE6Nixo8kynU6H8+fPIzw8HN7e3g3axpKlpqaiuroanTt3rjFxUVJSEhwcHEyOX1VVVcZjvqXXgAT09UdTUlJqtAcEBCAoKAgAkJGRgfLy8holTvLz83Hnzh2Eh4db/PtGrVbj0qVLNdqdnZ2Nx7HS0lLcunULPXv2hL29PQD9Odnt27eh0+kQEhJi8edkmZmZyM/Pr9Fub2+Pnj17Avjnsfj3Md3QfuPGDTg4OKBDhw5mi7kpDM9VbXr06GGsV5qQkAA3NzeEhIQYl8tkMmRkZCAwMLDOOaAsjUqlwq1bt+Ds7IzAwMAa5x1paWmorq6uMZlhbm4uCgsLERERcd/yRpaAMYa0tDRotVoEBwdDLBabLC8qKkJaWhoeeOAB42Ng2IbH4yEkJMRqzsksUVFREXJychASElLjvZGTk4M7d+6gd+/eDd7GUlVVVSElJQWenp7G45yBVCrF9evX0a1bN5MytJmZmVAoFAgNDTUeHyzZtWvXIJPJarT36tXLeC5z9uxZhIaGmuQntFotbty4AaFQiMjIyCaVFDGnrKwsk1I8Bh07djTOv3Ht2jWIRCKT45rhXM3Pzw9eXl5mi7epzp49W2t7cHCwsYRnVlYWSkpKapQ4KSgoQF5eHsLCwuDq6trqsTbH9evXIZVKa7S7u7sjMjISgP47m6HM5L9rk9++fRsajQYhISF1TjRqaYqKinDnzp1az0e0Wi0uXLhgE9+nKisrkZ6eDm9vb/j6+tb4XElMTISTk5PJZK+GbQICAlrs+xQl5wkhhBBCCCGEEEIIIYQQM6MJYQkhhBBCCCGEEEIIIYQQM6PkPCGEEEIIIYQQQgghhBBiZpScJ4QQQgghhBBCCCGEEELMjJLzhBBCCCGEEEIIIYQQQoiZUXKeEEIIIYQQQgghhBBCCDEzSs4TQgghhBBCCCGEEEIIIWZGyXlCCCGEEEIIIYQQQgghxMwoOU8IIYQQQgghhBBCCCGEmBkl5wkhhBBCCCGEEEIIIYQQM6PkPCGkVZw4cQKrVq1CVlYWPv74YyxYsAAKhYLrsAghhBByH++99x7Onz+P3bt3Y8mSJdi6dSvXIRFCCCGkiZKSkrB06VIUFRXh888/x8KFC1FQUMB1WISQuyg5TwhpFVu3bsWaNWswcuRIlJeXIzIyEmKxmOuwCCGEEFIPuVyO9957D1OnTsU333wDDw8PhIaGch0WIYQQQppoz549+PrrrzFgwADk5OSgffv28PT05DosQshdQq4DIITYpitXrsDOzg4nT56kAz8hhBBiJZKSkqDVavH0009j+fLlXIdDCCGEkGa6cuUKGGPYu3cvwsLCuA6HEHIPSs4TQlpFYmIiPv74Y0rME0IIIVYkISEBnp6eePvtt7kOhRBCCCEtICEhAfPnz6fEPCEWisraEEJa3O3bt1FRUYHRo0dzHQohhBBCGuHKlSsYNmwYhEIaw0MIIYRYO4VCgVu3btF3c0IsGCXnCSEtzjDqLjAwkOtQCCGEENIICQkJ6N69O9dhEEIIIaQFJCUlgTGG6OhorkMhhNSBkvOEkBZ35coVdOvWjeswCCGEENIIjDEkJSXRMZwQQgixEVeuXEF4eDgcHR25DoUQUgdKzhNCWlxCQgJiYmK4DoMQQgghjZCWlgaZTEbHcEIIIcRG0HdzQiwfFZMkhLS4iRMnIioqiuswCCGEENII9vb2WLt2LQICArgOhRBCCCEtYPjw4fD09OQ6DEJIPXiMMcZ1EIQQQgghhBBCCCGEEEJIW0JlbQghhBBCCCGEEEIIIYQQM6PkPCGEEEIIIYQQQgghhBBiZpScJ4QQQgghhBBCCCGEEELMjJLzhBBCCCGEEEIIIYQQQoiZUXKeEEIIIYQQQgghhBBCCDEzSs4TQgghhBBCCCGEEEIIIWZGyXlCCCGEEEIIIYQQQgghxMwoOU8IIYQQQgghhBBCCCGEmBkl5wkhhBBCCCGEEEIIIYQQM6PkPCGEEEIIIYQQQgghhBBiZpScJ4QQQgghhBBCCCGEEELMjJLzhBBCCCGEEEIIIYQQQoiZ/T8AnJsd8O7pcQAAAABJRU5ErkJggg==",
            "text/plain": [
              "<Figure size 1500x400 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(1, 3, figsize=(15, 4), constrained_layout=True)\n",
        "for name, component in zip(\n",
        "        [r\"$W_0$\", *[rf\"$D_{level}$\" for level in range(nlevels)],\n",
        "         rf\"$R_{nlevels}$\"], components):\n",
        "    axes[0].semilogy(r, component, label=name)\n",
        "axes[0].set_title(\"terms in the telescoping decomposition\")\n",
        "axes[0].set_xlabel(r\"$r$\")\n",
        "axes[0].set_ylim(1e-10, 1e3)\n",
        "axes[0].legend()\n",
        "\n",
        "axes[1].semilogy(r, 1.0 / r, \"k\", lw=2, label=r\"$1/r$\")\n",
        "for level, partial_sum in enumerate(partial_sums):\n",
        "    axes[1].semilogy(r, partial_sum, label=rf\"partial sum through term {level}\")\n",
        "axes[1].set_title(\"successive telescoping partial sums\")\n",
        "axes[1].set_xlabel(r\"$r$\")\n",
        "axes[1].legend()\n",
        "\n",
        "axes[2].semilogy(r, relative_error)\n",
        "axes[2].axhline(tolerance, color=\"k\", ls=\"--\", lw=1,\n",
        "                label=\"requested tolerance\")\n",
        "axes[2].set_title(r\"relative error: $|r(W_0 + \\sum D_l + R_L)-1|$\")\n",
        "axes[2].set_xlabel(r\"$r$\")\n",
        "axes[2].legend()\n",
        "\n",
        "for ax in axes:\n",
        "    ax.grid()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
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      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
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