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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot; plt=PyPlot\n",
    "using PyCall\n",
    "using FastGaussQuadrature, Compat\n",
    "using LinearAlgebra\n",
    "\n",
    "# line cyclers adapted to colourblind people\n",
    "cycler = pyimport(\"cycler\").cycler\n",
    "line_cycler   = (cycler(color=[\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\",\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\"]) +\n",
    "                 cycler(linestyle=[\"-\", \"--\", \"-.\", \":\", \"-\", \"--\", \"-.\", \":\",\"-\", \"--\", \"-.\", \":\", \"-\", \"--\"]))\n",
    "marker_cycler = (cycler(color=[\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\"]) +\n",
    "                 cycler(linestyle=[\"none\", \"none\", \"none\", \"none\", \"none\", \"none\", \"none\"]) +\n",
    "                 cycler(marker=[\"4\", \"2\", \"3\", \"1\", \"+\", \"x\", \".\"]))\n",
    "\n",
    "# matplotlib's standard cycler\n",
    "standard_cycler = cycler(\"color\", [\"#1f77b4\", \"#ff7f0e\", \"#2ca02c\", \"#d62728\", \"#9467bd\", \"#8c564b\", \"#e377c2\", \"#7f7f7f\", \"#bcbd22\", \"#17becf\"])\n",
    "\n",
    "plt.rc(\"axes\", prop_cycle=line_cycler)\n",
    "\n",
    "include(\"mPDeC.jl\")\n",
    "include(\"mPRK.jl\")\n",
    "\n",
    "problem=\"system\"\n",
    "folder=\"Simulations/searchingCFL/\"\n",
    "\n",
    "if problem==\"system\"\n",
    "    folder = string(folder,\"system/\")\n",
    "    mkpath(folder)\n",
    "    param_a,param_b=  1,1 #10^2, 10^2 # 1, 1 # \n",
    "    folder = string(folder,\"a$(param_a)b$(param_b)/\")\n",
    "    mkpath(folder)\n",
    "    function prod_dest(c)\n",
    "        d= length(c)\n",
    "        p=zeros(d,d)\n",
    "        d=zeros(d,d)\n",
    "        p[1,2]=param_a*c[2]\n",
    "        d[2,1]=param_a*c[2]\n",
    "        p[2,1]=param_b*c[1]\n",
    "        d[1,2]=param_b*c[1]\n",
    "        return p, d\n",
    "    end\n",
    "\n",
    "    function rhs_function(u)\n",
    "        return zeros(length(u))\n",
    "    end\n",
    "    \n",
    "    u0=[1.0,1e-100]\n",
    "    T_fin=1\n",
    "    uInf=sum(u0)/(param_a+param_b).*[param_a param_b]\n",
    "    \n",
    "    \n",
    "    function exact_solution(c0,time)\n",
    "        c_exact=zeros(size(c0)[1],size(time)[1])\n",
    "        a=param_a\n",
    "        b=param_b\n",
    "        A= [ -b a; b -a]\n",
    "        for it=1:length(time)\n",
    "            t=time[it]\n",
    "            c_exact[:,it] = c0+(1- exp(-(a+b)*t))/(a+b).*(A*c0)\n",
    "        end\n",
    "        return c_exact\n",
    "    end\n",
    "\n",
    "elseif problem==\"scalar\"\n",
    "    k_coef=10^8\n",
    "    u0=[1.1/sqrt(k_coef)]\n",
    "\n",
    "    function prod_dest(u)\n",
    "        d=length(u)\n",
    "        prod=zeros(d,d)\n",
    "        dest=zeros(d,d)\n",
    "        prod[1,1]=0\n",
    "        dest[1,1]=k_coef*abs(u[1])*u[1]\n",
    "        return prod,dest\n",
    "    end\n",
    "    \n",
    "    function rhs_function(u)\n",
    "        return ones(length(u)) # zeros(length(u))# ones(length(u)) # #ones(length(u))\n",
    "    end\n",
    "\n",
    "    \n",
    "    function SIg(u)\n",
    "        return -k_coef.*abs.(u)\n",
    "    end\n",
    "    \n",
    "    function SIf(u)\n",
    "        return ones(length(u))\n",
    "    end\n",
    "\n",
    "    T_fin=0.15\n",
    "    uInf=1/sqrt(k_coef)\n",
    "    function exact_solution(u0,t)\n",
    "        sqrtk = sqrt(k_coef)\n",
    "        ustar = 1 / sqrtk\n",
    "\n",
    "        if u0[1] >= ustar\n",
    "            [coth(sqrtk * t + acoth(sqrtk * u0[1])) / sqrtk]\n",
    "        elseif u0[1] < 0 && t < - atan(sqrtk * u0[1]) / sqrtk\n",
    "            [tan(sqrtk * t + atan(sqrtk * u0)) / sqrtk]\n",
    "        else\n",
    "            [tanh(sqrtk * t + atanh(sqrtk * u0[1])) / sqrtk]\n",
    "        end\n",
    "    end\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "overshootMeasure (generic function with 1 method)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function overshootMeasure(u0,u1,ustar)\n",
    "    return max(-abs(u0-ustar)+abs(u1-u0)-5*eps(),0)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Motivational plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KR8CQWCh8W8KWn4z0X3rDnHbM3dUiIiKqVAwj1ZzcIwQBg/dAGdAJNmMq0rb0g+nGfndXi4iIqNIwjNQAMk0A/AfthKpOTwhzFtK3DYQxaYe7q0VERFQpGEZqCJnKB/4Dt0AVGgVh0SN9x1AYLm90d7WIiIjuGsNIDSIpPODffyPUDf4C2EzI2P0E8i+udHe1iIiI7grDSA0jydXw6/MDtI3GAMKKzF//Cv3Zb91dLSIiogpjGKmBJJkCuh5L4NF0AgCBrP0vIvfUF+6uFhERUYUwjNRQkiSDT5d58Gz5JgAg5/Ak5Bz/EEIIN9eMiIjINQwjNZgkSfDuNAte7T8EAOQefx85R95mICEiohqFYaSGkyQJ3m2nwefBgss0eac+Q/aBv0MIm5trRkREVD4MI7WEZ8to6LotBCBBf/Y/yIwdC2GzuLtaREREd8QwUot4PPACfHutACQFDBeXIyNmBITV6O5qERER3RbDSC2jbfgU/PqtA2RqGC9vQPrOR2Ez57m7WkRERGViGKmFNGGPwn/Az5AUHjAlbUf69sGwmbLcXS0iIiKnGEZqKXVof/hHbYek1MF8Yy/St/aHzZDq7moRERGVwjBSi6mCuyFg8G7I1IEwpx1F2pbesOqT3V0tIiIiBwwjtZwyoD38h/wKmUcoLJmnkfZLT1hyL7m7WkRERHYMI/cBpW9zBAyJhdwrEtacC0jb3AOWrLPurhYREREAhpH7hsK7YUEg0TWDTX8Vab/0hDn9hLurRURExDByP5F71kPA4D1Q+LeDzXADaVt6w3TzoLurRURE9zmGkfuMXBuMgEG7oQzqCmHKRPrWATAmx7i7WkREdB9jGLkPydS+8I/aBlVIPwhLLtJ3DIHh6mZ3V4uIiO5TDCP3KZnSC/79f4Y67FHAakDGrseRn/iju6tFRET3IYaR+5ik0MCv71poIkYBNjMy9zwF/bkl7q4WERHdZyoURubNm4fIyEhoNBp07NgRsbGxty2/fPlytG3bFh4eHggJCcGzzz6LtLS0ClWYKpckU8K313JomzwPCBuy9j2LvDNz3V0tIiK6j7gcRlavXo3o6Gi8++67iIuLQ8+ePTFkyBBcvnzZafm9e/di7NixeP7553Hq1Cn8+OOPOHz4MF544YW7rjxVDkkmh67bQni2iAYAZB98FbknZrq3UkREdN9wOYx8/vnneP755/HCCy+gefPm+PLLLxEWFob58+c7Lf/bb78hIiICEydORGRkJHr06IGXXnoJR44cuevKU+WRJAneD34Or7bTAAA5x6Yi++gUCCHcXDMiIqrtXAojJpMJR48eRVRUlMPwqKgo7N+/3+k03bp1w9WrV7F582YIIXD9+nWsWbMGQ4cOLfN7jEYjsrOzHX6o6kmSBO/2H8K70ywAQN7JfyL74EQIYXNzzYiIqDZzKYykpqbCarWiTp06DsPr1KmDlJQUp9N069YNy5cvx6hRo6BSqVC3bl34+vpizpw5ZX7PzJkzodPp7D9hYWGuVJPuklert+DTZT4ACfo/5iJr3/MQNou7q0VERLVUhTqwSpLk8FkIUWpYodOnT2PixIn4v//7Pxw9ehRbtmxBQkICJkyYUOb8p0yZgqysLPvPlStXKlJNuguezSZA13MZIMmRf34JMvc8DWE1ubtaRERUCylcKRwYGAi5XF6qFeTGjRulWksKzZw5E927d8dbb70FAGjTpg08PT3Rs2dPfPzxxwgJCSk1jVqthlqtdqVqVAU8Gj0DmcITGXtGwXBpDTJ26+HXZw0khdbdVSMiolrEpZYRlUqFjh07Yvv27Q7Dt2/fjm7dujmdRq/XQyZz/Bq5XA4A7BxZA2jC/wL//j8Bci2MVzcjfcfDsJlz3F0tIiKqRVy+TDNp0iR8++23WLRoEc6cOYPXX38dly9ftl92mTJlCsaOHWsv/+ijj2LdunWYP38+Ll68iH379mHixIno3LkzQkNDK29JqMqo6w2C/8AtkJTeMKXEIH3rANiM6e6uFhER1RIuXaYBgFGjRiEtLQ0ffvghkpOT0apVK2zevBnh4eEAgOTkZIdnjowfPx45OTmYO3cu3njjDfj6+qJfv37417/+VXlLQVVOXbcX/AftRPr2wTCnHkLalr7wj9oGudb55TkiIqLykkQNuFaSnZ0NnU6HrKws+Pj4uLs69zVzRnxBy4jhOuQ+DyBg0A7IPXm3ExERlVbe8zffTUMuUfq1QsDDsZB7NoA1+yzSNveEJfu8u6tFREQ1GMMIuUzh0wQBQ2Ih92kCa94lpP3SE+aMeHdXi4iIaiiGEaoQuVcDBAz+FQq/1rDlpyBtS2+YUvmIfyIich3DCFWY3KMuAgbHQBnYGcKYjvSt/WC6fvs3OBMREZXEMEJ3Rab2h/+gHVDV6Q1hzkHatkEwXtvm7moREVENwjBCd02m9Ib/wM1Q1xsCWPORvvNRGC6td3e1iIiohmAYoUohKTzg128DNOHDAZsJGTEjoL/wvburRURENQDDCFUaSa6Cb+9V0DYaBwgrsmLHIu+PBe6uFhERVXMMI1SpJJkCuh6L4NHsZQAC2b/9Hbnxn7m7WkREVI0xjFClkyQZfB6aA89W7wAAco68hZy49/liRCIicophhKqEJEnw6fRPeHeYAQDI/f1D5Bx+g4GEiIhKYRihKuXVZip8Os8GAOSd/gJZ+/8GYbO6uVZERFSdMIxQlfNsMRG67t8Bkgz5575FZuwYCJvZ3dUiIqJqgmGE7gmPJs/Bt9dKQFLAkLASGbufhLAY3F0tIiKqBhhG6J7RRo6EX78NgEwN45WNSN/5CGzmXHdXi4iI3IxhhO4pTdhQ+A/8BZLCE6bknUjfPgg2Y6a7q0VERG7EMEL3nDqkL/yjdkBS+cJ8Yz/StvaD1XDT3dUiIiI3YRght1AFd0HA4BjINEGwpMch/ZfesOZdc3e1iIjIDRhGyG2U/m0RMCQWMo/6sGSdQdovPWHJSXB3tYiI6B5jGCG3UuiaImBILOTeDWHNTUDaLz1gzjzj7moREdE9xDBCbqfwjkDAkFgofFvApk9C+i+9YE6Lc3e1iIjoHmEYoWpB7hGKgMF7oAjoAJsxFWlb+sJ044C7q0VERPcAwwhVGzJNIAIG7YIyuDuEOQvp2wbCmLzL3dUiIqIqxjBC1YpMpYP/wK1QhQyAsOQhffvDMFzZ5O5qERFRFWIYoWpHpvSEf/+foA4bBtiMyNj1F+QnrHZ3tYiIqIowjFC1JCk08Ov7IzQNRwPCgsw9T0N/9jt3V4uIiKoAwwhVW5JMCd8ey+DxwN8ACGTtfwF5p2e7u1pERFTJGEaoWpNkcvh0XQDPlm8AALIPRSPn948hhHBzzYiIqLIwjFC1J0kSvDt9Cq920wEAuXHTkHN0MgMJEVEtwTBCNYIkSfBu9z68H/w3ACAvfhayf3sZQtjcXDMiIrpbDCNUo3i1nARd1/8AkKD/cz6y9o6HsFncXS0iIroLDCNU43g0/Rt8e30PSHLkX/gvMnY+BmNyDITN6u6qERFRBSjcXQGiitA2HA1J4YmMmJEwXvsFxmu/QKYNgSbiSWgjRkEZ3BWSxKxNRFQTSKIG9ALMzs6GTqdDVlYWfHx83F0dqkbMqUeR98fXMFxeD2HKtA+XedSHNmIENJGjoAzsDEmS3FdJIqL7VHnP3wwjVCsIqwnGpG0wJKyG4cr/IMw59nFyrwhoIkZCGzkKCv/2DCZERPcIwwjdt4TFAOO1LchPXA3jlY0QFr19nNy7MbSRo6CJHAWFbysGEyKiKsQwQgRAWPQwXP25oMXk6s+A1WAfp9A1hyZiZMGlHN/mbqwlEVHtxDBCVILNnAPjlZ+Qn7AaxmtbAJvJPk7h1xqaiFEFl3J8GruxlkREtQfDCNFt2ExZMFz+HwyJq2G8tg0QRc8qUQR0gDZiJDQRI6HwjnRjLYmIajaGEaJyshnTYbi0HvmJq2FK3gWIoueVKAM7QxM5CtqIEZB7hrmxlkRENQ/DCFEFWA03Ybi0DoaE1TClxAAo2j2Uwd0LOr+GPwm5R4jb6khEVFMwjBDdJas+BYZLa5CfsBrmG3uLjZGgqtMLmshR0IQPh1wb7LY6EhFVZwwjRJXImncVhsQ1yE9cDfPN34pGSDKo6vYraDFp8BfINAHuqyQRUTXDMEJURSy5l2BI/AGGhNUwpx0tGiEpoA4dAE3EKGgaPA6Z2tdtdSQiqg4YRojuAUv2eRgSf0B+wg+wZPxeNEKmgrreIGgjRkHd4DHIlN7uqyQRkZswjBDdY5bMP5Cf+AMMiathyTxdNEKugab+w9BEjIS6/iOQKT3dV0kionuIYYTIjcwZ8TAkrEZ+4mpYs8/Zh0sKD6jrP1LQ+bXeEEgKrRtrSURUtRhGiKoBIQQs6b8jP3E1DAmrYc1NsI+TFF5QNxgGbeQoqEOjIMnVbqwpEVHlYxghqmaEEDCnHbnVYvIDbHlX7OMkpQ6aBo9DEzkK6tABkGRKN9aUiKhy3HdhRAgBi8UCq9XqdDxRZVEqlZDL5Xc1DyFsMN/8DfkJP8Bw6UfY9En2cZLaH5oGT0AbOQqqun0gyRR3W2UiIre4r8KIyWRCcnIy9Hq9k6mJKpckSahfvz68vLwqZX5C2GC6vheGxNUwJK6BzXDDPk6mCYIm/EloIkZCVacnJNndhSAionvpvgkjNpsN586dg1wuR1BQEFQqFSRJclNNqbYTQuDmzZvQ6/Vo0qTJXbeQlJq/zQJTyp6CPiaX1kEY0+zjZNoQaCKehDZiFJTBXSFJskr9biKiynbfhBGDwYCEhASEh4fDw8PDTTWk+0l+fj4SExMRGRkJjUZTZd8jbGaYknchP2E1DJfXQ5gy7eNkHvWhjRwJTcQoKAMfZAAnomqpvGGk1lyMlsn4VyLdG/fqxC/JlFDXGwR1vUEQ1gUwJm2DIWE1DFf+B5v+KvJOfY68U59D7hUBTcRIaCNHQeHfnsGEiGqcWhNGiGozSa6CJuwRaMIegbAYYLy2BfmJq2G8shHW3ETkxc9CXvwsyL0bF7wnJ3IUFL6tGEyIqEZgcwLdc2PGjMEnn3zi7mo4NXfuXDz22GPursZtSQoNNOGPw6/3StR56iZ8+/wATfhwQK6BNec8ck/MQOr/2iB1Q0vkxE2HOfOMu6tMRHRbFQoj8+bNs18v79ixI2JjY29b3mg04t1330V4eDjUajUaNWqERYsWVajC95NvvvkGffr0gY+PDyRJQmZm5h2nGT9+PCRJwoQJE0qN+8c//gFJkjB+/PhS5SVJglKpRMOGDfHmm28iLy8PAJCYmGgfL0kSdDodunTpgp9++slh3kuWLIGvr6/DsDNnzqB+/fp44oknYDQaAQAnTpzAzz//jFdffRUAYDab8c4776B169bw9PREaGgoxo4di6SkJNzOwoUL0bNnT/j5+cHPzw8DBgzAoUOHbjuNwWDA+PHj0bp1aygUCjz++OOlyrz44os4fPgw9u7de9t5VReSwgPaiBHw67sGdZ66Ad9ey6EOewyQqWDJOoPc3z9A6oYWuPm/Nsj5fQYs2efdXWUiolJcDiOrV69GdHQ03n33XcTFxaFnz54YMmQILl++XOY0I0eOxM6dO/Hdd9/hzz//xMqVK9GsWbO7qvj9QK/XY/DgwZg6dapL04WFhWHVqlXIz8+3DzMYDFi5ciUaNGhQqvzgwYORnJyMixcv4uOPP8a8efPw5ptvOpTZsWMHkpOTcfDgQXTu3BnDhw9HfHx8mXU4fPgwevbsiUGDBuHHH3+EWl3wdNG5c+dixIgR8Pb2ti/jsWPHMG3aNBw7dgzr1q3D2bNn79g6ERMTg6effhq7d+/GgQMH0KBBA0RFReHatWtlTmO1WqHVajFx4kQMGDDAaRm1Wo3Ro0djzpw5t/3+6kim9Ia24Wj49/8f6jx1A7oeS6Gu/zAgKWDJOIncuPdwc10T3PypI3JPzoIlJ9HdVSYiKiBc1LlzZzFhwgSHYc2aNROTJ092Wv6XX34ROp1OpKWlufpVdllZWQKAyMrKKjUuPz9fnD59WuTn51d4/u4QHh4uvvjiC4dhbdu2Fe+//36psrt37xYAREZGxh3nO27cODFs2DDRunVr8f3339uHL1++XLRu3VoMGzZMjBs3rlT54l544QVRt25dIYQQCQkJAoCIi4uzj8/OzhYAxFdffWUftnjxYqHT6YQQQuzcuVN4eXmJN99802G+VqtV+Pr6ik2bNt12GQ4dOiQAiEuXLt1xeQtZLBbh7e0tli5dWq7yzpa7UExMjFCpVEKv1zsdX9O2OashTeT9+a1I3TpQJC2Ri6TFsP/c/KmzyIn/t7DkXnZ3NYmoFrrd+bs4l1pGTCYTjh49iqioKIfhUVFR2L9/v9NpNm7ciE6dOmHWrFmoV68eHnjgAbz55psOf7WXZDQakZ2d7fBTXkII2Mx5bvkR1egu6WeffRaLFy+2f160aBGee+65ck2r1WphNpudjjObzVi4cCGAgieRlrR+/XoMHToU7777Lj799FOHcSdOnEBmZiY6dep02+/PysqCJEmlLvvcjl6vh9lshr+/f7mnKUunTp1gNpvveNmnppCp/eHxwPMIiNqG4FHJ8Om6AKq6fQFIMKceQs7hN3DjxwZI3dwDeWfmwKpPdneVieg+49LdNKmpqbBarahTp47D8Dp16iAlJcXpNBcvXsTevXuh0Wiwfv16pKam4h//+AfS09PL7Dcyc+ZMfPDBB65UzU5Y9Li+vHKejOmqOn/NhVRNXg8/ZswYTJkyxd7nY9++fVi1ahViYmJuO92hQ4ewYsUK9O/f32F4t27dIJPJkJ+fD5vNhoiICIwcOdKhTG5uLkaMGIGpU6di8uTJpeadmJgIuVyO4ODgMr/fYDBg8uTJGD16tEvvIZo8eTLq1atX5uUXV3h6esLX1xeJiYno3bv3Xc+vOpFrguDZ9CV4Nn0JVn0KDJfWID9hNcw39sJ8Yx/MN/Yh++BrUNXtDU3ESGjCh0OuLXt9ERFVhgp1YC15u6AQosxbCG02GyRJwvLly9G5c2c8/PDD+Pzzz7FkyZIyW0emTJmCrKws+8+VK1eclqOyBQYGYujQoVi6dCkWL16MoUOHIjAw0GnZTZs2wcvLCxqNBl27dkWvXr1K9ZlYvXo14uLisHHjRjRu3BjffvttqVYIrVaLgQMHYuHChThzpvQdHPn5+VCr1WVuK2azGU899RRsNhvmzZtX7mWdNWsWVq5ciXXr1lXaQ8i0Wm2tf72A3KMuPJu/gsCHYxE84ip8HvwCyqAuAARMKTHI/u0fuPFDCNK2DoT+7LewGdPdXWUiqqVcahkJDAyEXC4v1Qpy48aNUq0lhUJCQlCvXj3odDr7sObNm0MIgatXr6JJkyalplGr1fYOj66SFB6o89fcCk17tyRF+Z8AK5PJSl3WKevSSEU999xzeOWVVwAAX3/9dZnl+vbti/nz50OpVCI0NNTp5ZewsDA0adIETZo0gZeXF4YPH47Tp087tHLI5XJs2LABw4cPR9++fbFr1y60aNHCPj4wMBB6vR4mkwkqlcph/mazGSNHjkRCQgJ27dpV7laRzz77DJ988gl27NiBNm3alGua8khPT0dQUFClza+6k3vWg2fLaHi2jIYl9xIMiT/AkLAa5rSjMCXvgCl5B7IO/B3q0IEFLSYNHodM7evuahNRLeFSy4hKpULHjh2xfft2h+Hbt29Ht27dnE7TvXt3JCUlITe3KCCcPXsWMpkM9evXr0CVb0+SJMiUnm75ceUBU0FBQUhOLro2n52djYSEhEr9XQwePBgmkwkmkwmDBg0qs5ynpycaN26M8PBwp0GkpN69e6NVq1aYMWNGqXFqtRrr1q1D586d0bdvX4c7btq1awcAOH36tMM0hUHk3Llz2LFjBwICAsq1fJ9++ik++ugjbNmy5Y79UFxx4cIFGAwGtG/fvtLmWZMovMLh1eotBD56BEFPnIN3hxlQ+LUFhAXGa78ga9+zuL66DtJ3Pob8C8thM+e4u8pEVMO5fJlm0qRJ+Pbbb7Fo0SKcOXMGr7/+Oi5fvmx/rsWUKVMwduxYe/nRo0cjICAAzz77LE6fPo1ff/0Vb731Fp577jlotdrKW5Iapl+/fvjvf/+L2NhYxMfHY9y4caVeupaSkoLjx4/j/PmCZ0OcPHkSx48fR3p6+ZrL5XI5zpw5gzNnzlT6C93eeOMN/Oc//3F6K61KpcLatWvRrVs39OvXDydPngRQEMA6dOjg8AwPi8WCJ598EkeOHMHy5cthtVqRkpKClJQUmEymMr9/1qxZeO+997Bo0SJERETYpykeep05ffq0/XeYlZWF48eP4/jx4w5lYmNj0bBhQzRq1MiF30jtpPBpDK82UxE07DiCHj8Dr3YfQOHbArCZYLzyEzJjn8H1VcHI2D0c+Qk/wGbOc3eViagmqsitOl9//bUIDw8XKpVKdOjQQezZs8c+bty4caJ3794O5c+cOSMGDBggtFqtqF+/vpg0aVKZt006Uxtv7c3KyhIjR44UPj4+IiwsTCxZsqTUrb3vv/++AFDqZ/HixWXO93a3rAohynVrb3HObu0VQgibzSaaNm0q/v73vwshHG/tLWQymcTw4cNFYGCg+P3334UQQixYsEB06dKl1Pyd/ezevduhnsW3q/DwcKfTFP/9LV68WJTcxMuarrioqCgxc+bMMn8nNXWbq0ym9JMi++h74vraJg63Cif/10Ok7x4p9Ilrhc1c/n2ciGqn8t7aW2ve2lvVb1ClymEwGNC0aVOsWrUKXbt2Lfd0ffr0QZ8+fTB9+vRyTzN9+nTExMTc8Q6i4uLj49G/f3+cPXvWoZ9TcdzmigghYEn/HfmJq2FIWA1rbtGlRknhBXWDYdBGjoI6NAqSvGL9wIio5rrv3tpLNYNGo8GyZcuQmppa7mlycnJw4cIFbNq0yaXv2rp1K2bPnu3SNElJSVi2bFmZQYQcSZIEZUA7KAPawbvDJzCnHYEhYTXyE3+ALe8KDBeXw3BxOSSlDpoGj0MTOQrq0AGQZHfum0RE9w+2jBC5iNvcnQlhg/nmb8hP+AGGSz/Cpi9615Ck9oemwRPQRo6Cqm4fSDL+TURUW7FlhIjcRpJkUAV3gyq4G3w6fw7T9b0wJK6GIXENbIYbyD/3LfLPfQuZJgia8Cehqtsbcq9IyL0jIVMHunRnGhHVfAwjRFSlJEkGdd1eUNftBZ/Os2FK2VPQx+TSOtgMN6H/cz70f84vKq/whNwrothPJOReEVB4F/wrqfwYVohqGYYRIrpnJJkC6tD+UIf2h+jyNUzJu5B/aS0smadhzU2ATZ8EYcmDJfMULJmnnM9D6eMQVBReEZDfCipyr0jIVOV/jQARVQ8MI0TkFpJMCXW9QVDXK3ogn7AaYc27DGtOAqy5ibDkFvxb+NlmuA5hzoYl4wQsGSecz1fl59CSUtiyUvBvOGRK97y7iojKxjBCRNWGJFdD4dMECp/Sr4kACl6Eacm9VBBQSgQVS24ChDENwpQBS3oGLOlxTuchUwc6tKQ4tLB4hUNS3L8PYyRyF4YRIqoxJIUHlL7NofRt7nS8zZwDa+4lh6BiKRZchCkTNmMqbMZUmFMPO52HTFvXaV8VuVck5J5hfF4KURVgGCGiWkOm9IbMrxWUfq2cjrcZM2+1qhS7BFQsuAhLLmz5KbDlp8B88zcnc5Ag8wh12ldF7hUBuWd9PkOFqAIYRuieGzNmDJo3b46pU6e6uyqlzJ07F9u2bcPGjRvdXRWqAjK1L2Tqgoe0lSSEgDCmOw8quYmw5CQA1nzY9Ndg01+D+cbe0l8gySH3qF8QTEoEFYVXBGQe9SDJKvc9UUS1gcsvyqN7Iz09Ha+++iqaNm0KDw8PNGjQABMnTkRWVtZtpxs/fjwkSbK/uLC4f/zjH5AkCePHjy9VXpIkKJVKNGzYEG+++Sby8gpeeJaYmGgfL0kSdDodunTpgp9++slh3kuWLIGvr6/DsDNnzqB+/fp44oknYDQaAQAnTpzAzz//jFdffRVAwRt733nnHbRu3Rqenp4IDQ3F2LFjkZSUhNtZuHAhevbsCT8/P/j5+WHAgAE4dOjQbacxGAwYP348WrduDYVCgccff7xUmRdffBGHDx92eJkf3R8kSYJMEwBlYEdoI56EV6s3oevyNfwH/Iygx0+h7jN5CB51HQFDf4Nv71Xw7jATHg+8BHXoIMh9HgBkakBYYc27BNP1Pcg/vwS5x6cja+84pG/pjRtrwpHyXw1urG2EtK0DkLnvBeT8PgP5F5bDdH0frPokCGFz96+ByC3YMlJNJSUlISkpCZ999hlatGiBS5cuYcKECUhKSsKaNWtuO21YWBhWrVqFL774wv5mZIPBgJUrV6JBgwalyg8ePBiLFy+G2WxGbGwsXnjhBeTl5WH+/KJnP+zYsQMtW7ZEZmYm5s2bh+HDh+PYsWNo1cp5c/jhw4cxZMgQDBs2DN988439rcFz587FiBEj4O3tDQDQ6/U4duwYpk2bhrZt2yIjIwPR0dF47LHHcOTIkTKXMSYmBk8//TS6desGjUaDWbNmISoqCqdOnUK9evWcTmO1WqHVajFx4kSsXbvWaRm1Wo3Ro0djzpw56NGjR5nfT/cfSZIg1wZDrg0Ggh4qNV4IG2z5KSX6qhRvXbkECAusORdhzbno/Etkasi9wm+1pEQW3cJ8q5VFpgnmM1aoVmIYcZOIiAhER0cjOjraPqxdu3Z4/PHHMX36dLRq1crhhNmoUSPMmDEDzzzzDCwWCxSKslddhw4dcPHiRaxbtw5//etfAQDr1q1DWFgYGjZsWKq8Wq1G3bp1AQCjR4/G7t27sWHDBocwEhAQgLp166Ju3bqYMWMG5syZg927dzsNI7t27cKwYcMwYcIEfPrpp/bhNpsNP/74I77//nv7MJ1Oh+3btztMP2fOHHTu3BmXL192Gp4AYPny5Q6fFy5ciDVr1mDnzp0YO3as02k8PT3ty7Rv3z5kZmY6LffYY48hKioK+fn59jBHdCeSJIPcIxRyj1AguFup8cJmhS0/CZacoks/DncE6a8ANiOs2WdhzT4Lk7MvkWtL9FUpfhkoEpLan2GFaqRaG0YMlrJfuSOTAJVcqtSyGkXVHwAKn+1/uyBS6Nlnn8XixYvtYWTRokV47rnnyvUGW61WC7PZ7HSc2WzGwoULAQBKZemOeuvXr8fo0aPx/vvvY/LkyQ7jTpw4gczMTHTq1Om235+VlQVJkkpd9rkdvV4Ps9kMf3//ck9Tlk6dOsFsNuPQoUPo3bv3Xc+PCAAkmRxyzzDIPcMA9Co1XtjMsOZdLRVUCsOLTX8NsObDknUGlqwzzr9D4VUqqCiKBRaZ2rdqF5KogmptGBm39WaZ49oHqTC5s6/989923ITR6rxsC38l3u/qZ//8yu5U5JhKB5LVQ4MrXNfySEtLw0cffYSXXnqpXOXHjBmDKVOm2Pt87Nu3D6tWrbpjGDl06BBWrFiB/v37Owzv1q0bZDIZ8vPzYbPZEBERgZEjRzqUyc3NxYgRIzB16tRSQQQo6H8il8sRHFz278pgMGDy5MkYPXr0bV+qVNLkyZNRr149DBgwoNzTlMXT0xO+vr5ITExkGKF7RpIpofCOhMI70un4ggfCXbEHFUuxZ6xYcxNgy0+BsOTCknESloyTzr9D5WsPKvbLQMXCi0zpXZWLSFSmWhtGapPs7GwMHToULVq0wPvvv1+uaQIDAzF06FAsXboUQggMHToUgYGBTstu2rQJXl5esFgsMJvNGDZsGObMmeNQZvXq1WjWrBnOnj2L6OhoLFiwoFQrhFarRY8ePbBw4UI8/fTTaN7c8VkQ+fn5UKvVZTYjm81mPPXUU7DZbJg3b165lhMAZs2ahZUrVyImJqbS3qKr1Wqh1+srZV5ElaHggXCNofBp7HS8sOTDmne52GUgx8tBNsNNCFMmLOnHYUk/DqOz71AHOLSkFL8jSOEVDknhUbULSfetWhtGlg4KKnOcrMS58JsB5S87t6/zE7qrZDIZhHBsYXF2aSQnJweDBw+Gl5cX1q9f7/TSSFmee+45vPLKKwCAr7/+usxyffv2xfz586FUKhEaGur0O8LCwtCkSRM0adIEXl5eGD58OE6fPu3QyiGXy7FhwwYMHz4cffv2xa5du9CiRQv7+MDAQOj1ephMJqhUqlLLPnLkSCQkJGDXrl3lbhX57LPP8Mknn2DHjh1o06ZNuaYpj/T0dAQFlb1dEFU3kkILha4pFLqmTsfbzHml+6rkFnW0FcZ0CGMazMY0mNOOOp2HTBNcKqgobj1mX1L5FTxqX65lvxVyWa0NI6704aiqsrcTFBSE5ORk++fs7GwkJCQ4lMnOzsagQYOgVquxceNGl//qHzx4MEymgm5wgwYNKrOcp6cnGjd2/teWM71790arVq0wY8YMzJ4922GcWq3GunXr8OSTT6Jv377YuXOnvZNru3btAACnT5+2/x8oCiLnzp3D7t27ERAQUK56fPrpp/j444+xdevWO/ZDccWFCxdgMBjQvn37SpsnkbvJlJ6Q+bWE0q+l0/E2U5bD02tLdrQV5mzYDDdgM9yAOfXgbb5JgqT0gqTwKvhX6Q1Z4f+L/StTejt8dhheYpik8GDAqeVqbRip7vr164clS5bg0UcfhZ+fH6ZNm2a//RUoaBGJioqCXq/H999/j+zsbGRnZwMoCDLFy5ZFLpfjzJkz9v9XpjfeeAMjRozA22+/XepWWpVKhbVr12LkyJHo168fdu7cidatWyMoKAgdOnTA3r177WHEYrHgySefxLFjx7Bp0yZYrVakpKQAAPz9/Uu1oBSaNWsWpk2bhhUrViAiIsI+jZeXF7y8yn4R2unTp2EymZCeno6cnBwcP34cABzCUWxsLBo2bIhGjRpV8LdDVPPIVDrI/NtA6V+6hVEIAWHKdNJX5VYrS95lCHNOYWkIc07B5/zKqp0ESeEJqVhQkZUIPIX/dww+3qXL2ocz4FQnDCNuMmXKFFy8eBGPPPIIdDodPvroI4eWkaNHj+LgwYK/Pkq2WiQkJCAiIqJc3+NKJ1BXPPLII4iIiMCMGTOc9u9QKpX44Ycf8PTTT9sDSZs2bfC3v/0NS5YssV8+unr1qv1pp8UDAQDs3r0bffr0AVDwcLbExER7B9x58+bBZDLhySefdJjm/fffx/Tp0wEUPIjt2Wefdbgc9vDDD+PSpUv2z4WtH8XLrFy5Ei+++KLrvxSiWkqSJEhqP8jUflAGdHBaRggbhEUPYc6FsOQWBBJLLmz2z0X/2m6NEyXG2cw5pYbdmnvBMEtuFQScO7fMyEoEHseAU3y4BySJzxKtCEmU7LhQDWVnZ0On09lvbS3OYDAgISEBkZGRldZ5kaqOwWBA06ZNsWrVKnTt2rXc0/Xp0wd9+vSxB43ymD59OmJiYsp1O3Oh+Ph49O/fH2fPnoVOp3Nahtsc0b1REHDyi8KNPbQUDywFw21Owo0w5zgNQ0DVnfYkhWdRSHHWinNrXOlhZV268qzRAed25+/i2DJC95RGo8GyZcuQmppa7mlycnJw4cIFbNq0yaXv2rp1a6k+LXeSlJSEZcuWlRlEiOjekSQZJKUnoPQEtHUqZZ5CiIJ3DDlphbGZi1p0XA0+uPUof2HJg7DkAYbrlVJfoHjA8SpxOcrVVpzCcdUv4DCM0D3n6rM7vL29ceXKFZe/58CBAy5PExUV5fI0RFRzSJIEKDwgV3hUQcC5u0tStmItOlUfcDxKtdZ4t/0/qOu55xjIMEJERHQXHAIOKucBmAUBx1C6Fcac49IlKVuJS1wQBU/4FBY9hEUPGG7Yv9Nmvv2LWKsSwwgREVE1UxBwtJArtICmcp55VBBwjMVaYRxbZ5SBnSvleyqCYYSIiOg+UBBwNJAUGsg0lfMAz8pSvXqwEBER0X2HYYSIiIjcipdpiIiIajkhhMMTZ1PyLMg2CRgsAgarwAO+CvhqKvdJ3a5gGCEiIqqm0vKtyDUXhgabPTwYLAUPbhsUUfQm5R/+zEVCtsWhTOG/Mgn4LqqoI+x38bk4kWqyf36nkw4dGEbofjJmzBg0b94cU6dOdXdVSpk7dy62bdtmf0Q9EVF5ZJtsyLcI5FuKAoPx1r9ySUKPekVPa/7hz1wk5VlhvBUU8ouFBk+lhH/3LnpZ6OfHsnA+0+L0Oz0VkkMYOZtpxsnU0m9/BwAJjq0jARoZ6njIoJbLoFFIUFfSS2ArimGkGvvmm2+wYsUKHDt2DDk5OcjIyICvr+9tpxk/fjyWLl2Kl156CQsWLHAY949//APz58/HuHHjsGTJEofyAKBQKBAWFoYnnngCH3zwATw9PZGYmIjIyEj7PHx8fNC8eXO8++67ePTRR+3DlyxZgujoaGRmZtqHnTlzBgMHDkTnzp2xcuVKqNVqnDhxAj///LP9fTZmsxnvvfceNm/ejIsXL0Kn02HAgAH45z//idDQ0DKXc+HChVi2bBni4+MBAB07dsQnn3yCzp3LvjWt5LIU+uWXXzB48GAAwIsvvogZM2Zg79696NGjR5nzIqKaqai1wFbUenBrmFouoX2w2l72h7O5SM+3lWplMFgFAjQyTOviZy/7/v4MJOVZnX5nkFbmEEaO3zThQpbzgGGyOYYCH5UMOrUMGrkEjUJy+NdD6Vh2SIQHuofa7GXUJaYpbkLbqnlvWUUxjFRjer0egwcPxuDBgzFlypRyTxcWFoZVq1bhiy++gFarBVDwPpWVK1eiQYMGpcoPHjwYixcvhtlsRmxsLF544QXk5eVh/vz59jI7duxAy5YtkZmZiXnz5mH48OE4duwYWrVq5bQOhw8fxpAhQzBs2DB888039rcGz507FyNGjIC3t7d9GY8dO4Zp06ahbdu2yMjIQHR0NB577DEcOXKkzGWMiYnB008/jW7dukGj0WDWrFmIiorCqVOnSr1FuKTCZSnk7+9v/79arcbo0aMxZ84chhEiN7IJAVOJEJB/61+NQkJz/6I3eq85l4fcWy0TJYNDPS85JrYver3DazFpyDTanH5nuI/CIYzsTzIiuYyAYbU5vt+m5MlfWywE+Kkd7xUZEumBXJOtoGyJgKEtERreedC3XL8vAOhYR33nQtUUw4ibREREIDo6GtHR0fZh7dq1w+OPP25/GVzhOFde9AYAHTp0wMWLF7Fu3Tr89a9/BQCsW7cOYWFhaNiwYanyarUadevWBQCMHj0au3fvxoYNGxzCSEBAAOrWrYu6detixowZmDNnDnbv3u00jOzatQvDhg3DhAkT8Omnn9qH22w2/Pjjj/j+++/tw3Q6HbZv3+4w/Zw5c9C5c2dcvnzZaXgCgOXLlzt8XrhwIdasWYOdO3di7Nixt/39FC5LWR577DFERUUhPz/fHuaIqGxlBQetQkKEjxJAwSWCDRf09jL5t1okCi9VROoUGN/S2z7P8Vtvwug8B6C5vxLTuxaFkW2JemSZyvfyO41csv/rEAQUEkI8HPtMDI7QIt8iHMoU/t9T4RgwPunu59BB9HZ61uMLNkuqtWEkz2x0eRq1XAGFrGBjtNisMFotkEkyaBXKO87XU1m9Eumzzz6LxYsX28PIokWL8Nxzz5Ur2Gi1WpjNzq87ms1mLFy4EACgVCpLjV+/fj1Gjx6N999/H5MnT3YYd+LECWRmZqJTp063/f6srCxIknTHS1LF6fV6mM1mh1aOsjz22GMwGAxo0qQJXn/9dTz55JMO4zt16gSz2YxDhw65/B4dotrIJgTSDTbc0Fuhkkto7Fuw7+vNNrwdm440gw02J1mgUx0V3urkC6DggVtrzuXB4rxRArIS53GVXILRKiABDiFALZcQ4ukYGqIiPGCxCqiLt0rc+r+3yjE0fNrLHwoZICtHcBhcrD/GnZQ3iJBztTaMeH3/rsvT/NBnDEZEtgUArL8Uj5Ex/0Xvug0RM+Qf9jIRP36CVGNeqWnFs59VvLJVYMyYMZgyZQoSExMhSRL27duHVatW3TGMHDp0CCtWrED//v0dhnfr1g0ymQz5+fmw2WyIiIjAyJEjHcrk5uZixIgRmDp1aqkgAhT02ZDL5QgOLvvdDQaDAZMnT8bo0aNv+7rpkiZPnox69ephwIABZZbx8vLC559/ju7du0Mmk2Hjxo0YNWoUli5dimeeecZeztPTE76+vkhMTGQYofuOxSaw8YIeN/KtuKm34ma+Dan5VlhvhY3iAUOrkJBtEvYgUjI4+Ja4PDGggbZUmcLw4FfiTo7PewVAJZeglt/5RP9kE89yL59KztBQHdXaMHK/CwwMxNChQ7F06VIIITB06FAEBjp//O+mTZvg5eUFi8UCs9mMYcOGYc6cOQ5lVq9ejWbNmuHs2bOIjo7GggULSrVCaLVa9OjRAwsXLsTTTz+N5s2bO4zPz8+HWq0u88BiNpvx1FNPwWaz2Tu4lsesWbOwcuVKxMTEQKMpu/kzMDAQr7/+uv1zp06dkJGRgVmzZjmEkcJl0ev15a4DUXUmhECWSeCm3losZFhxQ2/DzXwrInwUiO5Q0K9CLgEbLuhhtDo2dcglIFArh65YwJAkCR909YVOLYOXUgal7PbB4dlil2HuxEfNZ3LeT2ptGMl9ZobL06jlRb+Ov4S3Qu4zMyCTHHeIxBGVczuqTCYreGlRMWVdGqmo5557Dq+88goA4Ouvvy6zXN++fTF//nwolUqEhoY6vfwSFhaGJk2aoEmTJvDy8sLw4cNx+vRph1YOuVyODRs2YPjw4ejbty927dqFFi1a2McHBgZCr9fDZDJBpVI5zN9sNmPkyJFISEjArl27yt0q8tlnn+GTTz7Bjh070KZNm3JNU1yXLl3w7bfflhqenp6OoKDKeTkVUVUTQiDXLHDDHjKs0CpkGBhe1Odp4u7UMvtgFG8tkCQJD0dooZBLCNLKEOwhR5BWDn+NzOmljUhd6eMFkatqbRi52z4cCpnc3n+kMudbKCgoCMnJyfbP2dnZSEhIqJR5Fxo8eDBMpoKH2gwaNKjMcp6enmjcuHG559u7d2+0atUKM2bMwOzZsx3GqdVqrFu3Dk8++ST69u2LnTt32ju5tmvXDgBw+vRp+/+BoiBy7tw57N69GwEBASiPTz/9FB9//DG2bt16x34oZYmLi0NISIjDsAsXLsBgMKB9+/YVmidRVcgz25BnFggu1snyy2NZuJprwU19we2nxUX4KOxhRJIkBHvIoTcLBN0KF8EeMgRpC/5fp0THzaeaeVX9AhEVU2vDSHXXr18/LFmyBI8++ij8/Pwwbdo0++2vhVJSUpCSkoLz588DAE6ePAlvb280aNCgXB015XI5zpw5Y/9/ZXrjjTcwYsQIvP3226VupVWpVFi7di1GjhyJfv36YefOnWjdujWCgoLQoUMH7N271x5GLBYLnnzySRw7dgybNm2C1WpFSkoKgIJbbku2oBSaNWsWpk2bhhUrViAiIsI+jZeXF7y8nB9Ily5dCqVSifbt20Mmk+Gnn37CV199hX/9618O5WJjY9GwYUM0atTobn5FRBUSd8OIlDyrQ5+NG3or9BaBCB8F/tWzaN+/nGPBtdyi5g4/tQxBWhmCPOQI83Y8vM/q6V+uTptE7sAw4iZTpkzBxYsX8cgjj0Cn0+Gjjz4q1TKyYMECfPDBB/bPvXr1AgAsXrwY48ePL9f3uNIJ1BWPPPIIIiIiMGPGDKf9O5RKJX744Qc8/fTT9kDSpk0b/O1vf8OSJUvsl4+uXr1qf9pp8dYSANi9ezf69OkDoODhbImJifYOuPPmzYPJZCp1J8z7779vvzV6yZIlePbZZx0uh3388ce4dOkS5HI5HnjgASxatKhUf5GVK1fixRdfrOivhsgpo1UU66tRFDJUcuCVdkXPwVh2OrfMh2eV7MfxTDMvyGRAsFaOQK38tp0zGUSoOpNEyY4L1VB2djZ0Oh2ysrJKnVwNBgMSEhIQGRl5286LVD0YDAY0bdoUq1atQteuXcs9XZ8+fdCnTx970CiP6dOnIyYmxqXntMTHx6N///44e/YsdDqd0zLc5sgZk1UgNb8gbORbBLqEFG0b7+/PwB8ZzvuEeSolLCr2zpAlp3KQbrDd6qtR1GcjUCsv9RRNourudufv4tgyQveURqPBsmXLkJqaWu5pcnJycOHCBWzatMml79q6dWupPi13kpSUhGXLlpUZROj+ZRPCoXXhlwQ9zmeacSPfhpt6KzKKPdXTSyk5hJHCEKFVSPaQUdBvoyBoFH9nyHgX7jghqi0YRuiec/XZHd7e3rhy5YrL33PgwAGXp4mKinJ5Gqo90g1WJOdZi90Ca7NfVjHbBBYOLGrBiLtpwu83TQ7Tq4vdgWKxCShuPcnrb629oVZI8FRIfDgWkRMMI0R0X7AJgQyDzaHPRpbRhudaFbVEzP89x+G16iXpzTZ4KAtu9+9dT4OWAUp760awhxzeSudhI0DrvlezE9UEDCNEVCsIIZBltCHVYLM/rhwAVvyRi4PJRtws9hTR4p5u5gntrfeM1POS42a+3H5HSpBWjmCtHEEecgRrZQ4vMevO94sQVRqGESKqcU6nmXAu0+xwGeVmvhXmW902lg4KhOZWwMg125CiL7g7RSYBgZqiTqFBHnIU78LP/hpE7sEwQkTVghACeZZbTxHVW+0dQwvDxozu/vaOoHuvGbDziqHUPCQA/hoZsk0CmltHt8HhHugRqkGwhxx+ahnkJd/IRkRuxzBCRG5htgooiz0XY/GpXGy9lF9m+Zv5VvuDvJr7q2C0iluXT25dRvGQI0Ajs3caLdTAh4c5ouqOeykR3TNmq8DxmyYcSDbg6HUTPu3lb3+8eeEbXnW3niJqv5Ry69Hlgdqi90T1rK9Bz/rss0FUWzCMEFGVstgETqaasD/JiMPXjci3FHXSOHrdiCGRHgCAIZFaDG3oATVf8U5032EYoXtuzJgxaN68OaZOrZw3IFemuXPnYtu2bfZH1NPdOZ9pxieHMpFnLgog/hoZuoao0SVEgya+RYegwjtaiOj+w72/mkpPT8err76Kpk2bwsPDAw0aNMDEiRORlZV12+nGjx8PSZIwYcKEUuP+8Y9/QJIkh/faFJaXJAlKpRINGzbEm2++iby8PABAYmKifbwkSdDpdOjSpQt++uknh3kvWbIEvr6+DsPOnDmD+vXr44knnoDRaAQAnDhxAj///DNeffVVAAVv7H3nnXfQunVreHp6IjQ0FGPHjkVSUtJtl3PhwoXo2bMn/Pz84OfnhwEDBuDQoUO3nabkshT+bNmyxV7mxRdfxOHDh7F3797bzotKswmB+FQT4m4Y7cPqe8lhtgro1DIMCtfig66++LpfAMa28MYDfko+AIyIADCMVFtJSUlISkrCZ599hpMnT2LJkiXYsmULnn/++TtOGxYWhlWrViE/v6gzoMFgwMqVK9GgQYNS5QcPHozk5GRcvHgRH3/8MebNm4c333zTocyOHTuQnJyMgwcPonPnzhg+fDji4+PLrMPhw4fRs2dPDBo0CD/++CPUajWAgpaHESNGwNu74BZKvV6PY8eOYdq0aTh27BjWrVuHs2fP4rHHHrvtMsbExODpp5/G7t27ceDAATRo0ABRUVG4du3aHX8/hctS+NOvXz/7OLVajdGjR2POnDl3nA8VBJAz6SYsis/BhJ1p+OhgJlb8kWsfr1HI8EkPfyzoH4DnWnmjmb+KL2wjotJEDZCVlSUAiKysrFLj8vPzxenTp0V+fr4balZx4eHh4osvvnAY1rZtW/H++++XOc0PP/wgVCqVMJvNZZYZN26cGDZsmGjdurX4/vvv7cOXL18uWrduLYYNGybGjRtXqnxxL7zwgqhbt64QQoiEhAQBQMTFxdnHZ2dnCwDiq6++sg9bvHix0Ol0Qgghdu7cKby8vMSbb77pMF+r1Sp8fX3Fpk2byqy/EEIcOnRIABCXLl26bbniLBaL8Pb2FkuXLi2zjLNlcSYmJkaoVCqh1+udjq+p21xlOp9hEktOZYsJO26KkZuu23+e3XpDzP89S5gsNndXkYiqgdudv4urtS0jeUYL8owWh9fHmyw25BktMFqsTsvabEVlzdaCsgZz+creC4VvPVQo7tzV59lnn8XixYvtnxctWoTnnnuuXN+j1WphNjt/w6jZbMbChQsBAEqlstT49evXY+jQoXj33Xfx6aefOow7ceIEMjMz0alTp9t+f1ZWFiRJKnXZ53b0ej3MZjP8/f3vWPaxxx5DcHAwunfvjjVr1pQa36lTJ5jN5jte9rmfCCEc9qWfE/TYnJCPdIMNWoWEXvU0mPygDt8MCMSENj4Ot+wSEd1JhcLIvHnz7K9P79ixI2JjY8s13b59+6BQKNCuXbuKfK1LvKb+Aq+pvyA1r+g9E5/GnIfX1F/wyjrHywvB07fBa+ovuJxZdFnj632J8Jr6C55f/btD2YgZO+E19RecuVHUFL3ksOsvcXNVWloaPvroI7z00kvlKj9mzBjs3bsXiYmJuHTpEvbt24dnnnnmjtMdOnQIK1asQP/+/R2Gd+vWDV5eXtBoNHjjjTcQERGBkSNHOpTJzc3FiBEj8NZbb2Hy5Mml5p2YmAi5XI7g4OAyv99gMGDy5MkYPXr0bV83XdLkyZNRr149DBgwoMwyXl5e+Pzzz7FmzRps3rwZ/fv3x6hRo/D99987lPP09ISvry8SExPL/f21kRACidlmrPwjF6/FpONyTlEw71VPg+6harzVSYeFAwLxcjsftA9Wl3rGBxFRebh8N83q1asRHR2NefPmoXv37vjPf/6DIUOG4PTp0077IxTKysrC2LFj0b9/f1y/fv2uKn2/yc7OxtChQ9GiRQu8//775ZomMDAQQ4cOxdKlSyGEwNChQxEYGOi07KZNm+Dl5QWLxQKz2Yxhw4aV6jOxevVqNGvWDGfPnkV0dDQWLFhQqhVCq9WiR48eWLhwIZ5++mk0b97cYXx+fj7UanWZnRbNZjOeeuop2Gw2zJs3r1zLCQCzZs3CypUrERMTA42m7GdPBAYG4vXXX7d/7tSpEzIyMjBr1qxSQU2r1UKv15e7DrXJ1RwL9icbcCDJiKS8ogByINmAcB8vAEC7YDXaBavdVUUiqmVcDiOff/45nn/+ebzwwgsAgC+//BJbt27F/PnzMXPmzDKne+mllzB69GjI5XJs2LChwhUur9xPhgAAPFRFb8t8q09jRPdsCEWJJuQb0wteG69VFpV9uXsEXnyoQalHRye+279U2fEPhrlcP5lM5tDsDcDppZGcnBwMHjwYXl5eWL9+vdNLI2V57rnn8MorrwAAvv766zLL9e3bF/Pnz4dSqURoaKjT7wgLC0OTJk3QpEkTeHl5Yfjw4Th9+rRDK0fhuh0+fDj69u2LXbt2oUWLFvbxgYGB0Ov1MJlMUKlUpZZ95MiRSEhIwK5du8rdKvLZZ5/hk08+wY4dO9CmTZtyTVNcly5d8O2335Yanp6ejqCgICdT1F7X9VZ8eiQTV4q1gChlQLsgNbqFqtGB4YOIqohLl2lMJhOOHj2KqKgoh+FRUVHYv39/mdMtXrwYFy5cKPdf9UajEdnZ2Q4/rvJUK+CpVjj8Fa5SyOCpVkCtkDstKysWPJTygrIaZfnKuiooKAjJycn2z9nZ2UhISHAok52djaioKKhUKmzcuPG2f/U7M3jwYJhMJphMJgwaNKjMcp6enmjcuDHCw8PLFXZ69+6NVq1aYcaMGaXGqdVqrFu3Dp07d0bfvn0d7rgpvDx3+vRph2kKg8i5c+ewY8cOBAQElGv5Pv30U3z00UfYsmXLHfuhlCUuLg4hISEOwy5cuACDwYD27dtXaJ41xXW9FafSii5jBmhkSDfYIJeADsEqvNLWB98MCMSbnXToFqqxvxeGiKiyudQykpqaCqvVijp16jgMr1OnDlJSUpxOc+7cOUyePBmxsbHl6ngJADNnzsQHH3zgStVqnH79+mHJkiV49NFH4efnh2nTpkEuLwo+OTk5iIqKgl6vx/fff+8QyoKCghzKlkUul+PMmTP2/1emN954AyNGjMDbb7+NevXqOYxTqVRYu3YtRo4ciX79+mHnzp1o3bo1goKC0KFDB+zdu9ceTCwWC5588kkcO3YMmzZtgtVqtW9L/v7+pVpQCs2aNQvTpk3DihUrEBERYZ/Gy8sLXl5eTqdZunQplEol2rdvD5lMhp9++glfffUV/vWvfzmUi42NRcOGDdGoUaO7+RVVS6n5VhxIMmJ/sgEXsywI0sowp28AJEmCQibh7U46hHkr4KmstX3biagaqtARp+Q1fyGE034AVqsVo0ePxgcffIAHHnig3POfMmUKsrKy7D9XrlR9B9F7bcqUKejVqxceeeQRPPzww3j88ccdTn5Hjx7FwYMHcfLkSTRu3BghISH2H1d+Hz4+Pi51BC2vRx55BBEREU5bR4CCO21++OEH9OrVC/369cOJEycAAH/729+wfPlye7mrV69i48aNuHr1Ktq1a+ewnMVb28aPH48+ffrYP8+bNw8mkwlPPvmkwzSfffaZvcySJUtKbZcff/wxOnXqhAcffBCrVq3CokWLHPqRAMDKlSvx4osvVvh3U92kG6zYnKDHtH3peHlXGr7/IxcXsyyQANTxkCO32NNRm/mrGESI6J6TRMmOC7dhMpng4eGBH3/8EX/5y1/sw1977TUcP34ce/bscSifmZkJPz8/h7/KbTYbhBCQy+XYtm2bwwOnypKdnQ2dTme/tbU4g8GAhIQE+909VL0ZDAY0bdoUq1atQteuXcs9XZ8+fdCnTx9Mnz693NNMnz4dMTExiImJKfc08fHx6N+/P86ePQudTue0TE3b5r49mYPtlwvuFJMANPNXomuIGg+FaOwvpyMiqgq3O38X59JlGpVKhY4dO2L79u0OYWT79u0YNmxYqfI+Pj44efKkw7B58+Zh165dWLNmDSIjI135eqoFNBoNli1bhtTU1HJPk5OTgwsXLmDTpk0ufdfWrVsxe/Zsl6ZJSkrCsmXLygwi1VmOyYZDKUbsTzJg5ANeaOpf0P+na6gal7LN6BqqQZcQNfw1lXvJjojobrl8N82kSZMwZswYdOrUCV27dsU333yDy5cv29+FMmXKFFy7dg3Lli2DTCZDq1atHKYPDg6GRqMpNZzuH71793apvLe3d4Uu1R04cMDlaUp2zq7ucs02HE4x4kCyESdTTSh8Fl/9ZIM9jLQMUOGj7nd+GBwRkbu4HEZGjRqFtLQ0fPjhh0hOTkarVq2wefNmhIeHAwCSk5Nx+fLlSq8oERXJMdkw7/ds/H7TBGuxC60RPgp0DVGjW2j1v3xERFTIpT4j7sI+I1SduGObM1gEkvIsaKgraO2wCYGXd6Uh3WBDmLccXUM06BqiRqiXy39fEBFVmSrpM0JE947JKhB3w4j9yUYcu26ERiFhQf9AyGUSZJKEl1p7I1ArR31v7sZEVLPVmqOYzXZvXlZHVJWNiWarwPGbJhxINuDIdROMxa7B+CkkpBpsqONR0AGVj2MnotqixocRlUoFmUyGpKQkBAUFQaVSlfnuE6K7JYTAzZs3IUmSS4/mL6+15/Kw/kLRO3GCtDJ0CdGgW6gakT4KbttEVCvV+DAik8kQGRmJ5ORkJCUlubs6dB+QJAn169e/q6faWm0C8WkmHEgyokc9DVoFFjxptnOIGnuuGdAlRI2uIRo08WUAIaLar8aHEaCgdaRBgwawWCywWq13noDoLiiVygoFEZsQOJ1mxoFkAw6mGJFjKrgEYwPsYSTSR4Gv+wVAxgBCRPeRWhFGANibzaui6ZzobpitAv89k4uDKUZkGov6NnmrJHSpq0GPekV9PyRJAmMIEd1vak0YIaouhBC4rreirmfB7qWQAfFpJmQabfBUSuhcV41uIRq0DFBCLmP0ICJiGCGqBEIIXMyy4ECyEb8lG5BtEvh2YCBUcgmSJOHppl5QyIDWgSooGECIiBwwjBBVkBACl3IsOJBU8Dj26/qi/koauYTLORY09i24bPhgXd6GS0RUFoYRograeikfi0/l2j+rZEDHOmp0DVGjfbAaKjlbQIiIyoNhhKgckvMs2J9kRGNfBdoGFbRytAtSQSkD2gWp0S1UjQ7BamgUDCBERK5iGCEqww29FQeSDdifZERitgUA8GAdtT2M1PVU4NuBQQwgRER3iWGEqBghBH5OyMf+JAMuZFnsw2VSQefTh0Ic+34wiBAR3T2GEbrv5Zlt8FTKABQ85+NAckEQkQC0DFCia6gGneuq4aOSubeiRES1FMMI3ZcyjTYcTDbgQLIR5zPNWDAgEF63AsmjDT2QZbThoRANfNUMIEREVY1hhO4b2SYbDqcYsT/JgFNpZhR/9+4f6WZ0qlNwCaZLiMY9FSQiuk8xjNB94XCKEZ8fy4KtWAJppFOga6gGXUPUCNRW/KV3RER0dxhGqNbRm204et0Eb7WEdrfufGnsq4AQQISPAl1D1OgaqkEdDwYQIqLqgGGEagWDReDoDSMOJBlw/KYJZhvQKkBpDyN+Gjm+7heAALaAEBFVOwwjVKP9kW7CL4n5OHbdCFPRC3ER6ilH8wAVhBCQpILbbxlEiIiqJ4YRqrHMVoG5x7NxM78ghdTxkKPbrUswDbzl9hBCRETVG8MI1VhKuYQpnX3x0wU9oiK0iPRRMIAQEdVADCNU41zXW+2dT+t5KTChrY+ba0RERHeDT3SiGkMIgbXn8jBpTxpO3DS5uzpERFRJGEaoRhBCYPkfefjhbB4sNuBiltndVSIiokrCyzRU7dmEwKL4XGy/nA8AGNvCC0MjPdxcKyIiqiwMI1StWW0C809kI/aaERKAF1t7o38DrburRURElYhhhKoti03gy2PZOHzdCLkEvNzOB91D+d4YIqLahmGEqi2ZBKjlgFIGvN5Bh463XmRHRES1C8MIVVsyScI/2vpgaEMLGuqU7q4OERFVEd5NQ9VKjsmGH8/mwiYKXq8rl0kMIkREtRxbRqjayDBY8fHBTFzNtcJoBZ5p7uXuKhER0T3AMELVwk29FR8dzMR1vRV+ahn61GdHVSKi+wXDCLldUq4FHx/MRJrBhmCtDO918bM/7p2IiGo/hhFyq0vZFsw4mIEsk0CopxzTuvjCX8MgQkR0P2EYIbcxWQVmHspElkkgwkeBdzv7wkfNPtVERPcbHvnJbVRyCS+29kZzfyX+rwuDCBHR/YotI3TPma0CSrkEAOhYR40OwSpIkuTmWhERkbvwT1G6p35LNuD1PWm4rrfahzGIEBHd3xhG6J7ZczUfXx7Lxs18G7Ym6t1dHSIiqiZ4mYbuia2Jeiw6lQsA6Bem4QPNiIjIjmGEqtyG83lY+WceAODhSC3GNvfipRkiIrJjGKEqI4TAqj/zsOFCwSWZ4Y09MOIBTwYRIiJywDBCVcZkA36/aQIA/LWZJx5r5OnmGhERUXXEMEJVRi2XMPUhX5y4aUKPenzXDBEROce7aahSWWwCR68b7Z99VDIGESIiui2GEao0JqvAv49mYdaRLOy8nO/u6hARUQ3ByzRUKfItNnx6JAun0sxQyYAALXMuERGVD8MI3bVcsw0zD2XifKYFWoWEtzvp0CJA5e5qERFRDcEwQncl02jDjIOZuJxjgZdSwpTOvmjsq3R3tYiIqAZhGKEKM1hs+OBABpLyrNCpZXjvIV808OYmRUREruGFfaowjUKG7vU0CNTK8EFXBhEiIqoYnj3orgxv7IHBEVp4KZlriYioYngGIZdczDJj1uFMGCw2AIAkSQwiRER0V3gWoXL7I92ED3/LxNEbJqw+m+fu6hARUS3ByzRULidumvDpkUyYbEALfyVGPsD3zBARUeWoUMvIvHnzEBkZCY1Gg44dOyI2NrbMsuvWrcPAgQMRFBQEHx8fdO3aFVu3bq1wheneO5xixL9uBZF2QSpM7uwLrYKNakREVDlcPqOsXr0a0dHRePfddxEXF4eePXtiyJAhuHz5stPyv/76KwYOHIjNmzfj6NGj6Nu3Lx599FHExcXddeWp6sVeM+DzY1mw2ICH6qrxVicd1HLJ3dUiIqJaRBJCCFcmeOihh9ChQwfMnz/fPqx58+Z4/PHHMXPmzHLNo2XLlhg1ahT+7//+r1zls7OzodPpkJWVBR8fH1eqS3ch32LDazHpyDLa0Lu+Bi+19oZcxiBCRETlU97zt0t9RkwmE44ePYrJkyc7DI+KisL+/fvLNQ+bzYacnBz4+/uXWcZoNMJoLHrza3Z2tivVpEqiVcgw9UEd9iUZ8XQzT8gkBhEiIqp8Ll2mSU1NhdVqRZ06dRyG16lTBykpKeWax7///W/k5eVh5MiRZZaZOXMmdDqd/ScsLMyVatJdEEIgJc9i/xyhU+Kvzb0YRIiIqMpUqBeiVOLEJIQoNcyZlStXYvr06Vi9ejWCg4PLLDdlyhRkZWXZf65cuVKRapKLhBD475lcvB2bjj/STe6uDhER3SdcukwTGBgIuVxeqhXkxo0bpVpLSlq9ejWef/55/PjjjxgwYMBty6rVaqjValeqRnfJJgQWnszBrisGAMCVHCualX0ljYiIqNK41DKiUqnQsWNHbN++3WH49u3b0a1btzKnW7lyJcaPH48VK1Zg6NChFaspVRmLTWDu8WzsumKABGBCG28MDNe6u1pERHSfcPmhZ5MmTcKYMWPQqVMndO3aFd988w0uX76MCRMmACi4xHLt2jUsW7YMQEEQGTt2LGbPno0uXbrYW1W0Wi10Ol0lLgpVhMkqMDsuC0eumyCXgFfb+aBrqMbd1SIiovuIy2Fk1KhRSEtLw4cffojk5GS0atUKmzdvRnh4OAAgOTnZ4Zkj//nPf2CxWPDyyy/j5Zdftg8fN24clixZcvdLQBVmtAp8eiQTJ1PNUMqASR106FCHl8eIiOjecvk5I+7A54xUDatN4ItjWTiRasbbnXRoFahyd5WIiKgWqZLnjFDtIpdJeK29Dsl5VjTw4aZARETuwReM3GfSDVasOZeHwgYxpVxiECEiIrfiWeg+ckNvxccHM3Bdb4MEYHgTvnmXiIjcj2HkPnEt14KPD2Yi3WBDHQ8ZetbjHTNERFQ9MIzcBxKzzJhxKBPZJoH6XnK8+5Av/DVyd1eLiIgIAMNIrXc2w4x/HspEnkUg0keBqQ/5wkfFrkJERFR9MIzUYnlmmz2INPVTYvKDOngoGUSIiKh64ZmpFvNUyvB8a2+0C1JhamdfBhEiIqqW2DJSC5msAip5wVuUu4dq0C1EXa63KhMREbkD/1SuZXZdzsebv6YjLd9qH8YgQkRE1RnDSC2yOUGP/5zMwXW9FTFXDe6uDhERUbnwMk0tIITAuvN6/HA2DwDwSKQWTzT2cHOtiIiIyodhpIYTQmDFH3nYeFEPABjxgCeGN/bgpRkiIqoxGEZqMJsQWBSfi+2X8wEAY5t7YWhDtogQEVHNwjBSgxksAmfSTZAAvNjaG/0baN1dJSIiIpcxjNRgHkoZ3n3IF+czLehcV+3u6hAREVUI76apYYxWgaPXjfbP/ho5gwgREdVoDCM1iN5swyeHMvHpkSzEXuOtu0REVDvwMk0NkWOyYeahTFzIskCrkBCkZY4kIqLagWGkBsg0WPHxoUxcybHCWylh6kO+aKhTurtaRERElYJhpJq7qbfi44OZSNFb4aeW4b2HfFHfm6uNiIhqD57VqrEckw3vH8hAmsGGIK0M07r4oY6H3N3VIiIiqlTseFCNeSkldAvVINRTjg+6MogQEVHtxJaRakySJPy1mSeeaOwBDyVzIxER1U48w1Uzp9NM+PRIJkxWAaAgkDCIEBFRbcazXDVy/IYRnxzKxJHrJvzvQp67q0NERHRP8DJNNXEw2YDZcdmwCqBDsArDGnm6u0pERET3BMNINbDnaj7m/54DAaBriBqvtPOBQia5u1pERET3BMOIm21N1GPRqVwAQN/6GvytjTdkEoMIERHdPxhG3CjbZMPqswV9Q4ZEaDG2hReDCBER3XcYRtzIRyXD5Ad9cTLVhCcae0BiECEiovsQw8g9ZhMCN/RW1PUs+NU/4KfEA358zwwREd2/eGvvPWQTAt+cyMHkvRm4mGV2d3WIiIiqBYaRe8RiE/gqLhu7rxpgsAgk5VrdXSUiIqJqgZdp7gGTVeCLY1k4dsMEuQS81t4HD4Vo3F0tIiKiaoFhpIoZLDbMOpKFU2lmKGXAmx11aBesdne1iIiIqg2GkSqUZ7Zh5qFMnMu0QKuQ8HYnHVoEqNxdLSIiomqFYaQKqWQStAoZPJUSpnb2RWNf3jVDRERUEsNIFVLKJbzZSYfUfCvqefFXTURE5Azvpqlk1/VWrD+fByEEAEAtlxhEiIiIboNnyUp0NceCjw9mIsNog1ou4eFID3dXiYiIqNpjGKkkF7PM+ORQJnJMAmHecnQN4R0zRERE5cEwUgn+SDfhn4ezkG8RaKhTYGpnX3ireAWMiIioPBhG7tKJVBM+O5IJoxVo5q/EO5108FAyiBAREZUXw8hdyDRY8enhTJhsQNsgFd7oqINazjfvEhERuYJh5C74auR4tqU3jt804dV2PlAyiBAREbmMYaQCTFYB1a3g0a+BFn3DNJAkBhEiIqKKYOcGF226qMc7senIMtrswxhEiIiIKo5hpJyEEPjxbB7+eyYXSXlW7E8yuLtKREREtQIv05SDEALfn8nFpoR8AMCoBzwxOELr5loRERHVDgwjd2ATAt/G52Dn5YKWkHEtvPhkVSIiokrEMHIbFpvAvN+zsS/JCAnAS2280TeMLSJERESViWHkNvLMAuczLZBLwCvtfNAtVOPuKhEREdU6DCO3oVPL8N5DvriWa0H7YL5rhoiIqCrwbpoS9GYb4m4Y7Z+DPeQMIkRERFWIYaSYbJMNH/6WiVlHsnA4xXjnCYiIiOiuVSiMzJs3D5GRkdBoNOjYsSNiY2NvW37Pnj3o2LEjNBoNGjZsiAULFlSoslUp3WDFBwcykJBtgZdSQpCWOY2IiOhecPmMu3r1akRHR+Pdd99FXFwcevbsiSFDhuDy5ctOyyckJODhhx9Gz549ERcXh6lTp2LixIlYu3btXVe+stzQWzH9QAau5lrhr5Fhelc/ROiU7q4WERHdJ4QQyDVakJlvhhDCPjwtz4Q/rucgJdvgUPbXC2nYefYmzNaip4GfSsnBimNXcfBShsO8v4q9iFm7ziPbYLYP+/VCGt7ceArLj16twqUqP5fDyOeff47nn38eL7zwApo3b44vv/wSYWFhmD9/vtPyCxYsQIMGDfDll1+iefPmeOGFF/Dcc8/hs88+u+vKV4akXAumH8jAdb0NwVoZPujqh3pe7NdLRFTdWKw2ZOabkaE3OQy/kpGPUyk5yMwvOtlmG8zYdS4VsRfTHMruuZCKZUeu4OzNXPuw1FwjPt19Hl/FXnQo+/3Rq4jeEI+Y86n2YTdyjHj6v0cxZsUxh7Kf7j6PXl/vw7IjV+zD0vJMeGDmLjT6ZKdD2Xc2nYbnlM2YvvVP+7A8kxXeU3+B33tbkG+22od/FnMBzWfF4F+7z9uHCQH0nrcfA/7zm8Myrz+ZjL8uj8N3hxwbByb/fAbv/HwG6fqiskevZuLfey5i85kbqA5cCiMmkwlHjx5FVFSUw/CoqCjs37/f6TQHDhwoVX7QoEE4cuQIzGaz02mMRiOys7MdfqpCusGKMevOYceJBFj0Ofigmx+CPeTIMVgQvSEe0RviHcqvO5GM6A3x+Pn09aK6Wqz2siZLUULddPo6ojfEY/3JZPswIYS9bK7RYh++7c8biN4Qj9Vx1xy+762fTiN6QzzSi+14MedTEb0hHv8ttsEDwLubzyB6Q7xDet6fkI7oDfH47qDjhvnB1j8RvSEelzP09mFHrmQiekM85u9PdCg7c+c5RG+Ix/nUPPuwE0nZiN4Qj9m/Ou64/465gOgN8TidkmMf9sf1HERviMenxXYkAJgTm4DoDfE4fi3LPuxiWh6iN8Rjxo6zDmX/cyAR0RvicehyUdq/mpmP6A3xeH/Lnw5lFx+6jOgN8dhb7AB0I8eI6A3xmPLzGYeyy28daHadKzrQZOabEb0hHm9sPOVQ9sffkxC9IR5b/ijacfWmou3Eaiv6S+Z/8SmI3hCPjfEp9mEWq81etviB5pczBdvJmt+THL5v0v9OIXpDPLKKHWh2nr2J6A3xWHHM8S+ZyZsK1v3N3KJ+TrEX0xC9IR5LDjluJ/+35Q9Eb4jHtax8+7CDlzIQvSEe3xy45FD24+1nEb0hHglpRdtJ3NUsRG+Ix9y9CQ5lZ+06j+gN8fjzRtEB/lRKwbr/fM8Fh7Jf/noR0RvicTK5aL8+dzMX0Rvi8c+d5xzKfr03Aa9tiMfRK5n2YZfS9XhtQzw+2Oq47hf+dgmvbYjHgcR0+7DkbANe2xCPdzc7rvulh6/gtQ3x2HOhaN2n5Znw2oZ4vPXTaYeyK49dw8T18dj2Z9G6zzFYMHF9PCaudzxGrD2RhInr47GpxDGisGzxY8RPp1IwcX081p1wPEYUli1+jNj6xw1MXB+PVSWOEZP+dwqvrjvpcIzYfT4Vr647iaWHHdf95E1n8Oq6k0gudozYl5COV9edxMLfHNf9/235A6+uO+lwjDh8OROvrjuJr0us+4+3n8XLa0/iQrFjxG+XMjBi6RG898sfDmWfW3Uc3b7ai9+K/eUecz4VDWfsxCPfHnQoO3DBAajf/hkbih1D9yWmw++9Leg+d59D2ed/OI5Wn8Y4/N7P3sxD/wUH8NfljqHhy18TMG7lcewuFjBu5pnw9qYz+GCb47Fnyx83MDs2AceKHacMFitWHU/Cj78nO5Q9n5qH2IvpuJSR7zD8XGoeLqbpHY4RFpuA3mSFwVy0PShkksP4Qp4qOfy0SqjlcvswmUxCizpeaFXX2+G7GgZ4oH+TQDQL9nIYPrp9fYzrVB8eyqJ5PBjmi7f7NsKjLeugOnApjKSmpsJqtaJOHcfK16lTBykpKU6nSUlJcVreYrEgNTXV6TQzZ86ETqez/4SFhblSzXLzU8tg1ufh3NUUtPSxwl9TsKLyzVbMjk3A7FjHnW7PxTTMjk3A/mIHO4tV2MtabEUb1v7EdMyOTcCvJVJ5YdniJ6TDVzIxOzYBO887/j6+3ldQNsdQdFCKu5aF2bEJ2PLHTYey3/x2GbNjExySb3xKDmbHJjjsoACw6PAVzI5NwPWcogPYnzdyMTs2wSE8AcB/j17F7NgEh5PXhbQ8zI5NwA8lTqCrjl/D7NgEJBY7gF3OzMfs2ASsOOZ4EF1zIgmzYxNwrtgBLDnbiNmxCVh62PFk+7/465gdm4Az14tOdDdzTZgdm4BvSwStzWcKDh4nkosCUabBjNmxCVhQ4mS77exNzI5NwNGrmfZheSYLZscmYE6JA+7u86mYHZvg0PxptNjs69NWrFl1b0LBut+bULSd2ETRui9+QvrtUsG6333ecTuZs7egbJ6paDs5erVg3W8/67idzD+QiNmxCQ5/IZ1Iysbs2ARs/sNx3X97sGA7Sc0rWvenrxdsJ/875bgPLz1SsO6Ln7zOpRas+7UnHLeT5ccK1v3lYgfixHQ9ZscmYFWc43byw/GCdX+xWMi5mmXA7NgEfF9iO1kfn4KvYhPwZ7G/Yq/nGvFVbAKWlAjkm05fx1exCThVLAyn5ZnwVWwCFpbYTrb+eRNfxSbg+LWiQJRtsOCr2IRSgXznuVTM2ZuAI1eKTkj5Zivm7C29nfx6MR1z9iY4nGzNVmEvW/wYceBSBubsTUBsQul1P2dvAgwljhFz9iZgV4ljxIIDiZi7L9HhGHH8Whbm7kvE9rOOx4hvD17C3H2JyCh2jDiVkoO5+xJL/XW89MhVzN2XiBu5xY4RN3Mxd19iqe1kRdw1zNufiKvFjhHJ2QasOZHscMIHgBPJ2ThwKcMhPJmsNiSk63E1y/F9X2abgMlqg7nYiVkhKzhlma3CoayfVoUgL5XDCd1TJUfLut6lTswd6uswqGkQ6um0xaZXYmyn+ni6fT2Hso+1rIsp/RvjwTBf+zB/DxW+HNYSXw5r6VD2b13CsWZcRzzZJsQ+TKdRIPblbjgwsQeKv051Sr/GuDi1Pyb3b2wfplbIoP/nwzDNGgpvdVHr/HsDH0D6x4Pxz0eaO3zfqbf74uRbfRDkVXS35+gO9bFjQldM6t3Ioey3o9piydPtEexdVLZHwwD865EWeKrEMrtLha5HlHxLrRDitm+udVbe2fBCU6ZMwaRJk+yfs7OzqySQSJKE17qFokt9D/Rr5G8f7qGSY2qxjaTQwAeC4KWSo3ejAPswpVxmL1u4owBAn0YBkAB0i/B3mEdh2eIJtXuEP6b2b4xOxTZ4AHi7b2OYrTb4aIpWU+cGfpjavzHahuocykb3ioTeZEWgp8o+rH09Hab2b4wWdRzT8yvdI5CZb0aIT9GG2bKuN6b2b4zGgZ4OZf/WJRw3c41o4Fv0CPwHgrwwtX9jNPBzfBrtsw82QNQD+WgUUDSPSH8PTO3fGCE+jg+Me6ZjffSI9Hc4UNTXaTC1f2MEFFsGABjVLhTt6/mgdUjRctTxVmNq/8bw0Tj27XmidQgeCPJEh/pFvx9/rRJT+zeGptjvHAAebVEH9XUadAn3sw/zUikwtX9jyGWO2+bgpsHw0yrRs2HRutcoi7YTWbFtuV/jAKjkkkNZmVS07tWKou2kZ8OCdf9Qg6I6AMDkfo1hEwJe6qI6dwkvWPfFlw0A3ujdCEaLFX7aot9FxzBfTO3fGK3q+jiUndgjEjlGC4KLHcDahPhgav/GeCDI8aD9927hSMszoZ6uaN01r1Ow7iP9HV+J8MJDDZCSY0BkQNHwxoGemNq/Mer7Om4n4x6sj76NA9Ck2LYW7qfF1P6NHeoFAKPb18NDDXzRsthfgCHeBduJn9ZxOxnRNhStQ3zQrl7R7yfIS413BzSBp8px3T/eqi4aBng4nGR0WgXeHdAEyhLrfmiLYNT1UaN7ZNE68lDJ8e6AJigp6oEg+KgVDscIlVyG926VLX6M6NsoEHJJQtcIx3VfWFZbbHvtEemP9wY0KXWMmNyvCcxWG3TF1v1DDfzw3oAmaBPquO7f7NMIerPjMaJDfR2mDWyC5sGOx4iJPSKRZXA8RrQO8ca0gU0c9m8A+HvXCNzMMyKs2HpuG+qDuX9phVCd434/65EWyDaY0aHYOurcwA8HJvaAV4l1tPKZDrBYBQK9iurbNdwPxn8NdQgdALB6bEeU1LyON+Lf6lNq+LSBD5QaVtdHg6VPty81fGS7UIxsF+owzEutwGu9GpYq2zHMFx1LrB+FXIYexY4DhQK91Ah03N0gSZLDOr/fSKJ4T5k7MJlM8PDwwI8//oi//OUv9uGvvfYajh8/jj179pSaplevXmjfvj1mz55tH7Z+/XqMHDkSer0eSuWdO4pmZ2dDp9MhKysLPj4+dyxPRERE7lfe87dLl2lUKhU6duyI7du3Owzfvn07unXr5nSarl27liq/bds2dOrUqVxBhIiIiGo3l++mmTRpEr799lssWrQIZ86cweuvv47Lly9jwoQJAAousYwdO9ZefsKECbh06RImTZqEM2fOYNGiRfjuu+/w5ptvVt5SEBERUY3lcp+RUaNGIS0tDR9++CGSk5PRqlUrbN68GeHh4QCA5ORkh2eOREZGYvPmzXj99dfx9ddfIzQ0FF999RWGDx9eeUtBRERENZZLfUbchX1GiIiIap4q6TNCREREVNkYRoiIiMitGEaIiIjIrRhGiIiIyK0YRoiIiMitGEaIiIjIrRhGiIiIyK0YRoiIiMitGEaIiIjIrVx+HLw7FD4kNjs72801ISIiovIqPG/f6WHvNSKM5OTkAADCwsLcXBMiIiJyVU5ODnQ6XZnja8S7aWw2G5KSkuDt7Q1JkiptvtnZ2QgLC8OVK1dq7Ttvavsycvlqvtq+jLV9+YDav4xcvooTQiAnJwehoaGQycruGVIjWkZkMhnq169fZfP38fGplRtYcbV9Gbl8NV9tX8bavnxA7V9GLl/F3K5FpBA7sBIREZFbMYwQERGRW93XYUStVuP999+HWq12d1WqTG1fRi5fzVfbl7G2Lx9Q+5eRy1f1akQHViIiIqq97uuWESIiInI/hhEiIiJyK4YRIiIiciuGESIiInKrWhdG5s2bh8jISGg0GnTs2BGxsbG3Lb9nzx507NgRGo0GDRs2xIIFC0qVWbt2LVq0aAG1Wo0WLVpg/fr1VVX9O3Jl+datW4eBAwciKCgIPj4+6Nq1K7Zu3epQZsmSJZAkqdSPwWCo6kVxypXli4mJcVr3P/74w6FcdVp/gGvLOH78eKfL2LJlS3uZ6rQOf/31Vzz66KMIDQ2FJEnYsGHDHaepSfugq8tXE/dBV5expu2Hri5fTdsHZ86ciQcffBDe3t4IDg7G448/jj///POO07l7P6xVYWT16tWIjo7Gu+++i7i4OPTs2RNDhgzB5cuXnZZPSEjAww8/jJ49eyIuLg5Tp07FxIkTsXbtWnuZAwcOYNSoURgzZgx+//13jBkzBiNHjsTBgwfv1WLZubp8v/76KwYOHIjNmzfj6NGj6Nu3Lx599FHExcU5lPPx8UFycrLDj0ajuReL5MDV5Sv0559/OtS9SZMm9nHVaf0Bri/j7NmzHZbtypUr8Pf3x4gRIxzKVZd1mJeXh7Zt22Lu3LnlKl/T9kFXl6+m7YOA68tYqKbsh64uX03bB/fs2YOXX34Zv/32G7Zv3w6LxYKoqCjk5eWVOU212A9FLdK5c2cxYcIEh2HNmjUTkydPdlr+7bffFs2aNXMY9tJLL4kuXbrYP48cOVIMHjzYocygQYPEU089VUm1Lj9Xl8+ZFi1aiA8++MD+efHixUKn01VWFe+Kq8u3e/duAUBkZGSUOc/qtP6EuPt1uH79eiFJkkhMTLQPq07rsDgAYv369bctU9P2weLKs3zOVOd9sKTyLGNN3A8LVWQd1qR9UAghbty4IQCIPXv2lFmmOuyHtaZlxGQy4ejRo4iKinIYHhUVhf379zud5sCBA6XKDxo0CEeOHIHZbL5tmbLmWVUqsnwl2Ww25OTkwN/f32F4bm4uwsPDUb9+fTzyyCOl/mq7F+5m+dq3b4+QkBD0798fu3fvdhhXXdYfUDnr8LvvvsOAAQMQHh7uMLw6rMOKqEn7YGWozvvg3aop++Hdqmn7YFZWFgCU2uaKqw77Ya0JI6mpqbBarahTp47D8Dp16iAlJcXpNCkpKU7LWywWpKam3rZMWfOsKhVZvpL+/e9/Iy8vDyNHjrQPa9asGZYsWYKNGzdi5cqV0Gg06N69O86dO1ep9b+TiixfSEgIvvnmG6xduxbr1q1D06ZN0b9/f/z666/2MtVl/QF3vw6Tk5Pxyy+/4IUXXnAYXl3WYUXUpH2wMlTnfbCiatp+eDdq2j4ohMCkSZPQo0cPtGrVqsxy1WE/rBFv7XWFJEkOn4UQpYbdqXzJ4a7OsypVtC4rV67E9OnT8b///Q/BwcH24V26dEGXLl3sn7t3744OHTpgzpw5+Oqrryqv4uXkyvI1bdoUTZs2tX/u2rUrrly5gs8++wy9evWq0DzvhYrWZ8mSJfD19cXjjz/uMLy6rUNX1bR9sKJqyj7oqpq6H1ZETdsHX3nlFZw4cQJ79+69Y1l374e1pmUkMDAQcrm8VEq7ceNGqTRXqG7duk7LKxQKBAQE3LZMWfOsKhVZvkKrV6/G888/jx9++AEDBgy4bVmZTIYHH3zwnif6u1m+4rp06eJQ9+qy/oC7W0YhBBYtWoQxY8ZApVLdtqy71mFF1KR98G7UhH2wMlXn/bCiato++Oqrr2Ljxo3YvXs36tevf9uy1WE/rDVhRKVSoWPHjti+fbvD8O3bt6Nbt25Op+natWup8tu2bUOnTp2gVCpvW6aseVaViiwfUPDX2Pjx47FixQoMHTr0jt8jhMDx48cREhJy13V2RUWXr6S4uDiHuleX9Qfc3TLu2bMH58+fx/PPP3/H73HXOqyImrQPVlRN2QcrU3XeDyuqpuyDQgi88sorWLduHXbt2oXIyMg7TlMt9sNK6QZbTaxatUoolUrx3XffidOnT4vo6Gjh6elp7/U8efJkMWbMGHv5ixcvCg8PD/H666+L06dPi++++04olUqxZs0ae5l9+/YJuVwu/vnPf4ozZ86If/7zn0KhUIjffvut2i/fihUrhEKhEF9//bVITk62/2RmZtrLTJ8+XWzZskVcuHBBxMXFiWeffVYoFApx8ODBar98X3zxhVi/fr04e/asiI+PF5MnTxYAxNq1a+1lqtP6E8L1ZSz0zDPPiIceesjpPKvTOszJyRFxcXEiLi5OABCff/65iIuLE5cuXRJC1Px90NXlq2n7oBCuL2NN2w9dXb5CNWUf/Pvf/y50Op2IiYlx2Ob0er29THXcD2tVGBFCiK+//lqEh4cLlUolOnTo4HA707hx40Tv3r0dysfExIj27dsLlUolIiIixPz580vN88cffxRNmzYVSqVSNGvWzGEnu9dcWb7evXsLAKV+xo0bZy8THR0tGjRoIFQqlQgKChJRUVFi//7993CJHLmyfP/6179Eo0aNhEajEX5+fqJHjx7i559/LjXP6rT+hHB9G83MzBRarVZ88803TudXndZh4W2eZW1zNX0fdHX5auI+6Ooy1rT9sCLbaE3aB50tGwCxePFie5nquB9KtypPRERE5Ba1ps8IERER1UwMI0RERORWDCNERETkVgwjRERE5FYMI0RERORWDCNERETkVgwjRERE5FYMI0RERORWDCNERETkVgwjRERE5FYMI0RERORWDCNERETkVv8PBZhS3vBP8aUAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f3b70ca5790>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u0=[1; 1e-15]\n",
    "tt=0:0.5:2\n",
    "α=5\n",
    "tout,uuRK222=mPRK22(prod_dest, rhs_function, tt,u0, α)\n",
    "tout,uuRK221=mPRK22(prod_dest, rhs_function, tt,u0, 1)\n",
    "\n",
    "plt.plot(tout,uuRK221[1,:],label=\"u1 MPRK(2,2,1)\")\n",
    "plt.plot(tout,uuRK221[2,:],label=\"u2 MPRK(2,2,1)\")\n",
    "plt.plot(tout,uuRK222[1,:],label=\"u1 MPRK(2,2,$(α))\")\n",
    "plt.plot(tout,uuRK222[2,:],label=\"u2 MPRK(2,2,$(α))\")\n",
    "plt.legend(loc=\"best\")\n",
    "#plt.savefig(\"wrongSteadyState.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u0=[1; 0.1]\n",
    "tt=0:10:60\n",
    "α=2\n",
    "tout,uuRK222=mPRK22(prod_dest, rhs_function, tt,u0, α)\n",
    "tout,uuRK221=mPRK22(prod_dest, rhs_function, tt,u0, 1)\n",
    "\n",
    "plt.plot(tout,uuRK221[1,:],label=\"u1 MPRK(2,2,1)\")\n",
    "plt.plot(tout,uuRK221[2,:],label=\"u2 MPRK(2,2,1)\")\n",
    "plt.plot(tout,uuRK222[1,:],label=\"u1 MPRK(2,2,$(α))\")\n",
    "plt.plot(tout,uuRK222[2,:],label=\"u2 MPRK(2,2,$(α))\")\n",
    "plt.legend(loc=\"best\")\n",
    "plt.savefig(\"oscillations.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## mPDeC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We search for the maximum CFL bound for fixed initial condition $(1-\\varepsilon, \\varepsilon)$ with \n",
    "$\\varepsilon = 10^{-300}$. In the plots one can see the value of $u_1$ after one time step and a measure of the overshoot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f3b70b3c8e0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tt=0:10:100\n",
    "u0=[1, 1e-100]\n",
    "order=6\n",
    "tout,uu=dec_correction(prod_dest, rhs_function, tt,u0, order,order+1,\"equispaced\")\n",
    "plt.plot(tout,uu[1,:])\n",
    "plt.plot(tout,uu[2,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Order 1 Maximum CFL 1024.0\n",
      "Order 2 Maximum CFL 1.2311444133449163\n",
      "Order 3 Maximum CFL 0.6597539553864471\n",
      "Order 4 Maximum CFL 0.5743491774985174\n",
      "Order 5 Maximum CFL 0.5358867312681466\n",
      "Order 6 Maximum CFL 0.5358867312681466\n",
      "Order 7 Maximum CFL 0.5\n",
      "Order 8 Maximum CFL 0.6597539553864471\n",
      "Order 9 Maximum CFL 1024.0\n",
      "Order 10 Maximum CFL 0.5\n",
      "Order 11 Maximum CFL 1024.0\n",
      "Order 12 Maximum CFL 1024.0\n",
      "Order 13 Maximum CFL 1024.0\n",
      "Order 14 Maximum CFL 1024.0\n",
      "Order 15 Maximum CFL 1024.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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v1zd2ahckSSpAUgEqLXz1a1fItsoCpfpDtpVAWIshW4sgrEWQrYXnPC+COOe1sJcDwgG5IgdyRc7Fd6w2QO0fB3VAvOuhqvypMXaAOrADJLWu8TuAiHxSRUUF/vrrL7cjI7IsY8+ePZg2bRoAYMSIEdiwYYMyCZLPqXMxUlpaiiNHjrhep6enY9++fQgLC0O7du0wa9YsnDx5EosWLQIATJ8+HW+//TZmzpyJf/zjH9i6dSs+/vhjLF261HvvopWSVFpI+hBAH9Kg7QiHBbKlAHJFLmRzHhzmPMgVeZDN5zwqcuEoy4JszgUcZjhKjsBRcqTmDUoqqAMSoA7qBE3lQx3UGdqQ7lAFxPOoClE9SRp/RE8uVWzfnjp69CgcDge6dOniavvpp59QUFDgGqYhOledi5Fdu3ZhxIgRrtdVwyl33HEHFi5ciOzsbGRkZLiWJyYmYtWqVXjooYfwzjvvIDY2Fv/97395Wa8PkdR6qP1jofaPvWiscFjgKD8JR1kmHGWZkCt/Oh8ZcJQchbCXwVGaDkdpOqynVrvvSxsMTWhPaEN7QhPaq/JnT6h0QY319ohaDEmS6jRUopTw8HBIkoQdO3bg2muvxbZt23DffffBz88PnTp1Ujo98kF1LkaGDx/uOgG1JgsXLqzWNmzYMOzZs6euuyIfJKn10AR2gCawQ43LhRCQK3LgKDkCu+kv2E1/wWH6q/Ly6cMQtmLY8jbBlrfJbT1NcBK0kZdBGzkIusjLoAnp7rxaiYianTZt2uD555/HlClTYDQaMXz4cNx8881Yt25dvW+kRi0bP+3JqyRJgtq/DdT+baCLHuq2TDissJsOw154ELYzB2Avcv6Uy7NgL06DvTgNFUcWOLejCYA2vD+0UYOhb3MldFGD63SYmIiUlZKSgpSUFKXToGaCxQg1GUmtg7ZyiMavw62udof5NGynt8N2ehusp7fDlr8dwlYCa+4vsOb+grKDcwCVDrqowdC1uRL6tldDG96PlyITNWNjxozBnj17UFZWhri4OHz99dcYMGCA0mmRQliMkOLUhkio46+FIf5aAICQHbAX/wHb6a2w5m6EJXsd5PKTsOZsgDVnA0r3Pg2VIRr6uHHQx18LfexVUGkDFX4XRFQXP/30k9IpkA9hMUI+R1KpoQ3tDm1od/h3vhtCCDhKjsByah2s2WtgObUGsjkXFUcWOId1VHro48bCr/0k6OOvhUqrzDwMRERUPyxGyOdJkuS6RDig63QIh9V5xCTrO5gzv4Wj5CgsGStgyVgBqP1giLsGfpfcDn3cOJ4ES0TUDPCTmpodSa2DPnYk9LEjETjgDdgLD6Li+DKY05fBUXIU5hPLYT6xHCq/NvDreAf8O90FTRAvJyQi8lU8A5CaNUmSoA3rhaC+LyLyb38h4rrdCOj+MFSGSMgV2Sg7+DJOf9UZBT+OgDnjGwjZoXTKRER0HhYj1GJIkgRteF8EDXgNUTdnIWT4cujbjgUkFaw5G1D483ic/rorytLehmxTZhZLIiKqjsUItUiSWge/9hMQdtUqRN10HAE9n4CkC4Gj5AhM2+9H3hfxKNn7NGRLkdKpEhG1eixGqMVTB8QjqN8cRN2ciaBBb0Md2BHCWoTS/c8jb3l7lOx/HrK1AXc8JiKiBmExQq2GSmtEQNK9iLzxD4QM/wKakO4QtmKU7n0aeV8movTAyxD2CqXTJCJqdViMUKsjqdTwa38TIm44gJBhn0Ed3BXCcgYle2bh9IpuqDj+5QXvv0RERN7FYoRaLUlSwS9xEiJv+A3BQxdB5R8HR+lxFG24CWd+GgnbmQNKp0hEXrZhwwZIkoSioiKlU6FzsBihVk9SqeF/ye2IvPEPGHs/DagNsOasR/63l6J4+wzItjKlUyRqdjIzMzFt2jTExsZCp9MhISEBDz74IAoKCpROrUnMnj0bffr0UTqNZoPFCFEllTYAgZc+i8gb/4Ch/URAyChPewv5K3vDkvOL0ukRNRvHjh1D//798eeff2Lp0qU4cuQI3nvvPaxbtw7Jyck4c+ZMo+3bZrM12rap8bAYITqPxpiA0OHLEHbVj86hm5KjOPPjcBRvu5/zkxB54N5774VOp8Pq1asxbNgwtGvXDmPHjsXatWtx8uRJpKSkYNasWbjsssuqrdurVy8888wzrtcLFixAUlISDAYDunbtinnz5rmWHT9+HJIk4fPPP8fw4cNhMBiQmpqKEydO4LrrrkNoaCgCAgLQvXt3rFq1ym0/u3fvRv/+/eHv74/Bgwfj8OHDbsvfffddXHLJJdDpdOjSpQs+/fRTt+UZGRm44YYbYDQaERQUhIkTJyI3NxcAsHDhQjz77LPYv38/JEmCJElYuHBhQ7u1ZRPNQHFxsQAgiouLlU6FWhmHpVgUbf6nOLUA4tQCiNwvEoXl9A6l06JWoKKiQhw6dEhUVFRUX2aTa31Y7LLXY+uioKBASJIkXnrppRqX/+Mf/xChoaHiwIEDAoA4cuSIa9lvv/0mAIjDhw8LIYT44IMPRJs2bcSXX34pjh07Jr788ksRFhYmFi5cKIQQIj09XQAQ7du3d8WcPHlSXHPNNeKqq64SBw4cEEePHhXffvut+OWXX4QQQqxfv14AEIMGDRIbNmwQv//+uxg6dKgYPHiwK4+vvvpKaLVa8c4774jDhw+L119/XajVavHzzz8LIYSQZVlceuml4vLLLxe7du0S27ZtE3379hXDhg0TQghRXl4uHn74YdG9e3eRnZ0tsrOzRXl5eZ36sTm50O+qp9/fvDcN0QWodEEIHvw+DO1vRvHmu+EoTUfBqiEI6v8a/JPuhyRJSqdIrdAdP52uddmlkTo8MTDE9fqfa0/DUstdELqFafFMcqjr9X3r81FirX4l2bJrojzO7a+//oIQAklJSTUuT0pKQmFhIaKjo9GrVy8sWbIETz31FABg8eLFGDBgADp37gwAeP755/H666/jb3/7GwAgMTERhw4dwvvvv4877rjDtc0ZM2a4YgDnUYsJEyagZ8+eAIAOHTpUy+PFF1/EsGHDAABPPPEErrnmGpjNZhgMBrz22muYOnUq/vWvfwEAZs6ciW3btuG1117DiBEjsHbtWhw4cADp6emIj48HAHz66afo3r07du7ciQEDBsBoNEKj0SAmJsbjvmvNOExD5AF97ChE3LAfhoQJgGyDaceDKNpwM2RrsdKpETUrovKyeUmSMHnyZCxevNjVvnTpUkyePBkAcPr0addJsEaj0fV44YUXcPToUbdt9u/f3+31Aw88gBdeeAFDhgzBM888gwMHql8Z16tXL9fzNm3aAADy8vIAAGlpaRgyZIhb/JAhQ5CWluZaHh8f7ypEAKBbt24ICQlxxVDd8MgIkYdUumCEDP8C5Wn/g2nXIzCf+BK2M/sQOnw5tOF9lE6PWpFPxkTWukx13sG6D0Z5Hvv2iIiGpAUA6NixIyRJwqFDhzB+/Phqy//44w+EhoYiIiICt956K5544gns2bMHFRUVyMzMxC233AIAkGUZAPDhhx9i0KBBbttQq9VurwMCAtxe33333RgzZgy+//57rF69GnPmzMHrr7+O+++/3xWj1Wpdz6uOcFbt89y2KkIIV9u5z2uLobrhkRGiOpAkCQHdHkD42E1QByTAUXIUBT9cDnPmd0qnRq2IQSPV+tCpJa/H1kV4eDiuuuoqzJs3DxUV7jMa5+TkYPHixZg0aRIkSUJcXByuuOIKLF68GIsXL8aoUaMQHR0NAIiOjkbbtm1x7NgxdOzY0e2RmJh40Tzi4+Mxffp0fPXVV3j44Yfx4YcfevwekpKSsGnTJre2LVu2uIaeunXrhoyMDGRmZrqWHzp0CMXFxa4YnU4Hh4N3CfcUj4wQ1YMuciAirt+Dwg2TYM1ei8Kfb0DQwLcQkHSf0qkRKe7tt9/G4MGDMWbMGLzwwgtITEzE77//jkcffRRt27bFiy++6IqdPHkyZs+eDavVijfffNNtO7Nnz8YDDzyAoKAgjB07FhaLBbt27UJhYSFmzpxZ6/5nzJiBsWPHonPnzigsLMTPP/9c6zksNXn00UcxceJE9O3bFyNHjsS3336Lr776CmvXrgUAjBo1Cr169cLkyZMxd+5c2O12/Otf/8KwYcNcQ0bt27dHeno69u3bh7i4OAQGBkKv19elG1sX759X6328moZ8leywisJN01xX2xRte1DIDrvSaVELcKErFJqD48ePi6lTp4qYmBih1WpFfHy8uP/++0V+fr5bXGFhodDr9cLf31+UlJRU287ixYtFnz59hE6nE6GhoeKKK64QX331lRDi7NU0e/fudVvnvvvuE5dcconQ6/UiMjJS3H777a79Vl1NU1hY6Irfu3evACDS09NdbfPmzRMdOnQQWq1WdO7cWSxatMhtHydOnBDXX3+9CAgIEIGBgeLmm28WOTk5ruVms1lMmDBBhISECABiwYIF9ejF5sEbV9NIQvj+TThMJhOCg4NRXFyMoKAgpdMhciOEQNnB/6BkzywAgD7+eoQO+wySxk/hzKg5M5vNSE9PR2JiIgwGg9LpENXqQr+rnn5/85wRogaSJAnGXk8gZNgyQKWHJXMlzqy7DsJernRqRETNAosRIi/xS5yIsNGrIWmMsGavw5k14zhjKxGRB1iMEHmRPuYKhI3+CZI2CNbcX3BmzdWQrSal0yIi8mksRoi8TBc1GGGj10DShcCWtxln1ozh5GhERBfAYoSoEegiByJ8zDpIulDYTm/DmTVjeQ4JEVEtWIwQNRJteF+EX72+siDZisJfboGQ7UqnRUTkc1iMEDUibVhvhI38FlAbYMn8FsVb/w/N4Gp6IqImxWKEqJHpoocg9IqlgKRCxV8foXTfbKVTIiLyKSxGiJqAIWE8gi97FwBQuv85lP3xnsIZERH5DhYjRE3Ev8s/YewzGwBg2vYvmLNWKZsQETU6SZKwYsUKxfa/YcMGSJKEoqIixXLwBIsRoiZk7P00/DrdDUCg6Je/w1aUpnRKRI1my5YtUKvVuPrqq5VOxWOzZ89Gnz59vLZednY2xo4d2/DEWjgWI0RNSJIkBF/2DnTRQyFsJhT+fANkS6HSaRE1ivnz5+P+++/Hpk2bkJGRoXQ6ioiJieHdej3AYoSoiUlqHUKGL4c6oB0cpr9QtPF2CCErnRaRV5WVleHzzz/H//3f/+Haa6/FwoUL3ZYXFhZi8uTJiIyMhJ+fHzp16oQFCxYAAK688krcd999bvEFBQXQ6/X4+eefAQDt27fHCy+8gClTpsBoNCIhIQHffPMNTp8+jRtuuAFGoxE9e/bErl27XNtYuHAhQkJCsGLFCnTu3BkGgwFXXXUVMjMzXcufffZZ7N+/H5IkQZIkV94ZGRmu7QYFBWHixInIzc296HrnD9NkZWXhlltuQVhYGAICAtC/f39s3769xj5MTk7GE0884dZ2+vRpaLVarF+/HgCQmpqK/v37IzAwEDExMbj11luRl5dX679LTUdw5s6di/bt27u1LViwAElJSTAYDOjatSvmzZtX6za9gcUIkQLUflEIvXKF88Z6Wd+j7ODLSqdEzUiZzYIym8XtMnGrw44ymwUWh73GWPmcgtcmO1Bms8Bst3kUWx/Lli1Dly5d0KVLF9x2221YsGCBW75PPfUUDh06hB9++AFpaWl49913ERERAQC4++67sWTJElgsFlf84sWLERsbixEjRrja3nzzTQwZMgR79+7FNddcg9tvvx1TpkzBbbfdhj179qBjx46YMmWK237Ly8vx4osv4pNPPsHmzZthMplwyy23AAAmTZqEhx9+GN27d0d2djays7MxadIkCCEwfvx4nDlzBr/88gvWrFmDo0ePYtKkSRdc73ylpaUYNmwYTp06hZUrV2L//v147LHHIMs1/zEyefJkLF261C3/ZcuWITo6GsOGDQMAWK1WPP/889i/fz9WrFiB9PR0TJ06ta7/XG4+/PBDpKSk4MUXX0RaWhpeeuklPPXUU/jkk08atN0LEs1AcXGxACCKi4uVToXIq8r+/FicWgBxaqFKmE+uVTod8iEVFRXi0KFDoqKiotoyzH9YYP7DIq+ixNX2wr41AvMfFndv+twt1n/REwLzHxbppgJX25u//SIw/2Fx64ZUt9iIxU8LzH9Y/HYm29X2wR9b65X/4MGDxdy5c4UQQthsNhERESHWrFnjWn7dddeJO++8s8Z1zWazCAsLE8uWLXO19enTR8yePdv1OiEhQdx2222u19nZ2QKAeOqpp1xtW7duFQBEdrbz/SxYsEAAENu2bXPFpKWlCQBi+/btQgghnnnmGdG7d2+3fFavXi3UarXIyMhwtf3+++8CgNixY0et6wkhBADx9ddfCyGEeP/990VgYKAoKCioFleTvLw8odFoxK+//upqS05OFo8++mit6+zYsUMAECUlzt+N9evXCwCisLCw1jzffPNNkZCQ4HodHx8vlixZ4hbz/PPPi+Tk5Br3eaHfVU+/v3lkhEhB/p3ugl+nuwAho+jXyXBU1H54lai5OHz4MHbs2OE64qDRaDBp0iTMnz/fFfN///d/+Oyzz9CnTx889thj2LJli2uZXq/Hbbfd5orft28f9u/fX+0v/l69ermeR0dHAwB69uxZre3cYQuNRoP+/fu7Xnft2hUhISFIS6v9ZPK0tDTEx8cjPj7e1datW7eLrne+ffv24dJLL0VYWJhH8ZGRkbjqqquwePFiAEB6ejq2bt2KyZMnu2L27t2LG264AQkJCQgMDMTw4cMBoN7n6Jw+fRqZmZmYNm0ajEaj6/HCCy/g6NGj9dqmJzSNtmUi8kjwoLdhO70D9qLfULxpKkJHfQdJ4t8JVLvS214EAPhrdK62R3sMx4xuQ6FRqd1i826ZDQDw02hdbfcmDcE/Og+C+rzfs+M3P1ktdmqnAXXO7+OPP4bdbkfbtm1dbUIIaLVaFBYWIjQ0FGPHjsWJEyfw/fffY+3atRg5ciTuvfdevPbaawCcQzV9+vRBVlYW5s+fj5EjRyIhIcFtP1rt2TwlSaq17fxhkKr2i7Wdm3tNy2trr42fn5/HsVUmT56MBx98EP/73/+wZMkSdO/eHb179wbgPC9n9OjRGD16NFJTUxEZGYmMjAyMGTMGVqu1xu2pVKpqs0DbbGeH66r66sMPP8SgQYPc4tRq998tb+InHpHCJI0fQoYtdU4Zf/IHlB/6r9IpkY8L0OoRoNW7fRHq1BoEaPXQqzU1xqrOKTy0KjUCtHoYzik6LhRbF3a7HYsWLcLrr7+Offv2uR779+9HQkKC6698wPmX/9SpU5Gamoq5c+figw8+cC3r2bMn+vfvjw8//BBLlizBXXfdVac8LpTfuSe1Hj58GEVFRejatSsAQKfTweFwP0+mW7duyMjIcJ3oCgCHDh1CcXExkpKSal3vfL169cK+fftw5swZj/MdP348zGYzfvzxRyxZsgS33Xaba9kff/yB/Px8vPzyyxg6dCi6du16wZNXAWef5+TkuBUk+/btcz2Pjo5G27ZtcezYMXTs2NHtkZiY6HHedcVihMgHaEN7IGjA6wAA0+7HYSv8TeGMiOrnu+++Q2FhIaZNm4YePXq4PW666SZ8/PHHAICnn34a33zzDY4cOYLff/8d3333neuLvcrdd9+Nl19+GQ6HAzfeeKNX8tNqtbj//vuxfft27NmzB3feeScuu+wyDBw4EIDzKp309HTs27cP+fn5sFgsGDVqFHr16oXJkydjz5492LFjB6ZMmYJhw4a5hnxqWu98f//73xETE4Px48dj8+bNOHbsGL788kts3bq11nwDAgJwww034KmnnkJaWhpuvfVW17J27dpBp9Phf//7H44dO4aVK1fi+eefv+D7Hz58OE6fPo1XXnkFR48exTvvvIMffvjBLWb27NmYM2cO3nrrLfz55584ePAgFixYgDfeeMPjfq4rFiNEPsK/y/9BH3ctIFtRtHEKhGy7+EpEPubjjz/GqFGjEBwcXG3ZhAkTsG/fPuzZswc6nQ6zZs1Cr169cMUVV0CtVuOzzz5zi//73/8OjUaDW2+9FQaDwSv5+fv74/HHH8ett96K5ORk+Pn5ue13woQJuPrqqzFixAhERkZi6dKlrstzQ0NDccUVV2DUqFHo0KEDli1bdsH1zqfT6bB69WpERUVh3Lhx6NmzJ15++eWLDn9MnjwZ+/fvx9ChQ9GuXTtXe2RkJBYuXIgvvvgC3bp1w8svv+wa5qpNUlIS5s2bh3feeQe9e/fGjh078Mgjj7jF3H333fjoo4+wcOFC9OzZE8OGDcPChQsb9ciIJM4fPPJBJpMJwcHBKC4uRlBQkNLpEDUaR3k2Tn/TA8JyBsbeTyPw0meVTokUYjabkZ6ejsTERK99ETc3mZmZaN++PXbu3Im+ffs2eHsLFy7EjBkzfH5q9ObmQr+rnn5/88gIkQ9R+7dB8GXOyYVKD7wIW8EehTMiano2mw0ZGRl4/PHHcdlll3mlECHfxmKEyMf4JU6Cof1EQDhQtHkah2uo1dm8eTMSEhKwe/duvPce73DdGrAYIfJBQYP+B0kfBvuZfSj7vfFOGiPyRcOHD4cQAocPH3abN6Shpk6dyiEaH8VihMgHqf2iEDTAWYSU7JsNu+kvhTMiImo8LEaIfJTfJVOgi70KcJhRvO3eahMVERG1FCxGiHyUJEkIvuxdQKWH9dQamE8sVzolUkBtN1Ej8hXe+B3ldPBEPkwTdAmMPZ9A6f5nYdrxEPRtr4ZKG6h0WtQEdDodVCoVTp06hcjISOh0ujpNPU7U2IQQsFqtOH36NFQqFXQ63cVXqgWLESIfZ+z5OCqOfQpHyTGU7nsOQQNeVTolagIqlQqJiYnIzs7GqVOnlE6HqFb+/v5o164dVKr6D7awGCHycZLGD0GD/ofCtdegLO0t+Hf5JzRBnZROi5qATqdDu3btYLfbL3rfEyIlqNVqaDSaBh+1YzFC1AwY4sZB33YsLCd/gGnnIwgb+Y3SKVETkSQJWq3W7W60RC0NT2AlaiaCBrwBSGpYMlfCcmqt0ukQEXkNixGiZkIT0hX+Xe8FAJh2PAQh87A9EbUM9SpG5s2b57ohTr9+/bBx48YLxi9evBi9e/eGv78/2rRpgzvvvBMFBQX1SpioNQvs8wwkXSjsRb+h4ugipdMhIvKKOhcjy5Ytw4wZM5CSkoK9e/di6NChGDt2LDIyMmqM37RpE6ZMmYJp06bh999/xxdffIGdO3fi7rvvbnDyRK2NSh8GY68UAEDJ3qch7BUKZ0RE1HB1LkbeeOMNTJs2DXfffTeSkpIwd+5cxMfH4913360xftu2bWjfvj0eeOABJCYm4vLLL8c999yDXbt2NTh5otYooOu9UAe0g1yehbI/3lY6HSKiBqtTMWK1WrF7926MHj3arX306NHYsmVLjesMHjwYWVlZWLVqFYQQyM3NxfLly3HNNdfUuh+LxQKTyeT2ICInSWOA8dLnAQClB16CbClUOCMiooapUzGSn58Ph8OB6Ohot/bo6Gjk5OTUuM7gwYOxePFiTJo0CTqdDjExMQgJCcH//ve/WvczZ84cBAcHux7x8fF1SZOoxfPrMBma0J4Q1iKUHXpT6XSIiBqkXiewnj+5iRCi1glPDh06hAceeABPP/00du/ejR9//BHp6emYPn16rdufNWsWiouLXY/MzMz6pEnUYkkqNYx9ZgMAyg69xaMjRNSs1WnSs4iICKjV6mpHQfLy8qodLakyZ84cDBkyBI8++igAoFevXggICMDQoUPxwgsvoE2bNtXW0ev10Ov1dUmNqNUxtBsPTWhP2AsPouzQXARe+qzSKRER1UudjozodDr069cPa9ascWtfs2YNBg8eXOM65eXl1earV6vVAMBbohM1gCSpYOz9DICqoyNFyiZERFRPdR6mmTlzJj766CPMnz8faWlpeOihh5CRkeEadpk1axamTJniir/uuuvw1Vdf4d1338WxY8ewefNmPPDAAxg4cCBiY2O9906IWiFDwo3QhPSAsBWj7NBcpdMhIqqXOt+bZtKkSSgoKMBzzz2H7Oxs9OjRA6tWrUJCQgIAIDs7223OkalTp6KkpARvv/02Hn74YYSEhODKK6/Ef/7zH++9C6JWSpJUMPZ5GkUbJqLs0FwEdJsBlT5E6bSIiOpEEs1grMRkMiE4OBjFxcUICgpSOh0inyKEjPxvesFe9DuMfZ5FYJ+nlU6JiAiA59/fvDcNUTPnPHfkKQBA2aE3IVuLFc6IiKhuWIwQtQCGhJugCenmnHck7b9Kp0NEVCcsRohaAEmlhrFX1dGRtyDs5QpnRETkORYjRC2Eof1NUBvbQ1gKUH6Ed/QlouaDxQhRCyGpNAjoNgOA89wRIWRlEyIi8hCLEaIWxK/TXZC0wXCY/oQl63ul0yEi8giLEaIWRKUNhH+XewAAZb+9rnA2RESeYTFC1MIEJN0PSBpYc3+BLX+30ukQEV0UixGiFkYdEAdD4iQAQOmhNxTOhojo4liMELVAxu4PAwDM6cvgKMtUOBsiogtjMULUAmnDL4UuZgQgHCg7xEnQiMi3sRghaqECKo+OlP/5AWRbicLZEBHVjsUIUQuljxsLdXBXCJsJFZwEjYh8GIsRohZKklQI6HovAKD88HtoBjfoJqJWisUIUQvmd8ntkDT+sBf9BlveFqXTISKqEYsRohZMpQuGIfHvAJxHR4iIfBGLEaIWzr/LdABAxfEvIJvzFc6GiKg6FiNELZwuoj+04f0A2YLyI58onQ4RUTUsRohagaqjI+V/vs+7+RKRz2ExQtQKGBJvgaQNgsP0F6zZ65VOh4jIDYsRolZApTXC75LbAQDlh99VOBsiIncsRohaCf8u9wAAzBkr4Cg/pXA2RERnsRghaiW0oT2hjRoCCAfK/5qvdDpERC4sRohaEddlvn9+xBNZichnsBghakX8EiZA0gbDUXYC1pxflU6HiAgAixGiVkXS+MGQOBEAUHFkobLJEBFVYjFC1Mr4d5wKADCfWA7ZVqpsMkREYDFC1OpoI5OhDuoEYS+D+cSXSqdDRMRihKi1kSQJfpdMAQBUcHp4IvIBLEaIWiH/S6YAkGDNWQ976Qml0yGiVo7FCFErpDa2g67NCABAxdFFCmdDRK0dixGiVsrvkjsAABVHFkEIoXA2RNSasRghaqUMCRMgaYxwlByBLW+L0ukQUSvGYoSolVJpA2BofxMAoJxzjhCRgliMELViVUM15uOfQ9grFM6GiForFiNErZgu5gqoje0hbCaYM75ROh0iaqVYjBC1YpKkgl+HyQCAivTPFM6GiForFiNErZwh8RYAgOXkD5AtRcomQ0StEosRolZOG9oDmpDugGyFOWOF0ukQUSvEYoSIXEdHzByqISIFsBghIvhVDdVkr4XDfFrhbIiotWExQkTQBHWENrw/IBwwH1+udDpE1MqwGCEiAByqISLlsBghIgCAX+JEAIA1dyMcZVkKZ0NErQmLESICAKgD4qGNuhyAQMXxL5ROh4haERYjROTix6EaIlIAixEicjG0vwmQVLDl74DddFTpdIiolWAxQkQuar9o6NqMBACYjy9TOBsiai1YjBCRm6qhGt6rhoiaCosRInJjaDcekDSwFx6E3fSX0ukQUSvAYoSI3Kj0YdC1GQEAMJ/4SuFsiKg1YDFCRNUYEiYAAMwnvlQ4EyJqDViMEFE1hvgbAEiw5e+EozRD6XSIqIVjMUJE1aj9Y6CLvhwAYM74WuFsiKilYzFCRDXiUA0RNRUWI0RUI0O7GwEA1txNcJTnKJwNEbVk9SpG5s2bh8TERBgMBvTr1w8bN268YLzFYkFKSgoSEhKg1+txySWXYP78+fVKmIiahtrYDtqIAQAEzJnfKJ0OEbVgdS5Gli1bhhkzZiAlJQV79+7F0KFDMXbsWGRk1H6S28SJE7Fu3Tp8/PHHOHz4MJYuXYquXbs2KHEianwcqiGipiAJIURdVhg0aBD69u2Ld99919WWlJSE8ePHY86cOdXif/zxR9xyyy04duwYwsLC6pWkyWRCcHAwiouLERQUVK9tEFHd2U1/4fRXnQFJg+hbcqHS1+//MBG1Tp5+f9fpyIjVasXu3bsxevRot/bRo0djy5YtNa6zcuVK9O/fH6+88gratm2Lzp0745FHHkFFRUWt+7FYLDCZTG4PImp6mqBO0IT2BIQd5sxvlU6HiFqoOhUj+fn5cDgciI6OdmuPjo5GTk7NJ7gdO3YMmzZtwm+//Yavv/4ac+fOxfLly3HvvffWup85c+YgODjY9YiPj69LmkTkRYZ2fwPAoRoiajz1OoFVkiS310KIam1VZFmGJElYvHgxBg4ciHHjxuGNN97AwoULaz06MmvWLBQXF7semZmZ9UmTiLzA0N553ojl5GrIthKFsyGilqhOxUhERATUanW1oyB5eXnVjpZUadOmDdq2bYvg4GBXW1JSEoQQyMrKqnEdvV6PoKAgtwcRKUMT0gPqoE6AbIEla5XS6RBRC1SnYkSn06Ffv35Ys2aNW/uaNWswePDgGtcZMmQITp06hdLSUlfbn3/+CZVKhbi4uHqkTERNSZIk5518AZgzVyqbDBG1SHUeppk5cyY++ugjzJ8/H2lpaXjooYeQkZGB6dOnA3AOsUyZMsUVf+uttyI8PBx33nknDh06hF9//RWPPvoo7rrrLvj5+XnvnRBRo3HeqwawZK2CkG0KZ0NELY2mritMmjQJBQUFeO6555CdnY0ePXpg1apVSEhIAABkZ2e7zTliNBqxZs0a3H///ejfvz/Cw8MxceJEvPDCC957F0TUqLSRl0FliIRsPg1rzq/Qx45UOiUiakHqPM+IEjjPCJHyijbdhYojC+Cf9ACCB72ldDpE1Aw0yjwjRNR6GdpVDtVkfINm8DcMETUjLEaIyCO6NqMAtQGOshOwFx5UOh0iakFYjBCRR1TaAOhjrwIA3jiPiLyKxQgRecx1VU0GL/ElIu9hMUJEHtPHXwtAgq1gFxxlJ5VOh4haCBYjROQxtV80tJGXAeAEaETkPSxGiKhODPHXAwAsLEaIyEtYjBBRneirLvHN/pk3ziMir2AxQkR1ognuCnVgR0C2wnLyJ6XTIaIWgMUIEdWJ88Z5ZydAIyJqKBYjRFRnVcWIOet7CNmucDZE1NyxGCGiOtNGJkPShUJYC2E7vU3pdIiomWMxQkR1Jqk00Le9GoDz6AgRUUOwGCGiejHEXwsAsGR+p3AmRNTcsRghonrRt70akFSwF/0Ge+kJpdMhomaMxQgR1YtKHwZt5GAAgIVDNUTUACxGiKjeOFRDRN7AYoSI6k0fdw2AqtlYyxTOhoiaKxYjRFRvmpDuUAckALIF1pyflU6HiJopFiNEVG+SJEEfX3l0JJPnjRBR/bAYIaIG0cc5zxsxZ30HIYTC2RBRc8RihIgaRB8zApLGH3L5SdjP7Fc6HSJqhliMEFGDSBoDdG1GAuBsrERUPyxGiKjBDJVDNZYsXuJLRHXHYoSIGkwfNw4AYDu9HQ7zaYWzIaLmRqN0Akors1kAAP4aHSRJAgBYHXbYZAc0KjX0ak21WD+NFirJWcfZZAesDjvUkgoGjbZeseV2K4QQMKi1UKucsXbZAYvDDpWkgl89YyvsNshChl6tgUalBgA4ZBlmh61OsZIkwV+jc8Wa7TY4hAydWgNtPWJlIaPCbgMABGj1rliLww677IBWpYaust/rEiuEQLndWuu/Z11iPfm398bvSU3/nt74Pan692zo78n5/561xuoiYQ3tC13hHliyfoB/xyl1+rdv6O/Juf+eDf09qe3fk58R/Iyo6799c/uMUJLyGSjMmJoCY2oK8i1nJ2x69bcNMKam4L5tX7vFRn02G8bUFGSUFrna3knbDGNqCqZt/twttv0XL8GYmoK0ojxX28K/dsKYmoJbfkl1i+329aswpqZgT0GWq21Z+n4YU1Nw/br5brEDvn0LxtQUbMw95mr7LjMNxtQUjPrpfbfYK354B8bUFPx08rCr7efsIzCmpiD5+/+5xY5d8yGMqSn4+sRvrrZtp0/AmJqC3ivecIudsP4TGFNTsPjoHlfbwcJsGFNT0OnLl91ib9+4FMbUFHxw+Oxt5o+aCmBMTUHbz593i71ny3IYU1Pw1qGNrrbs8hIYU1MQsvgpt9iZO1bCmJqClw6sc7UVW82uf0+7kF3tKXt+gDE1BSl7fnC12YXsii22ml3tLx1YB2NqCmbuWOm2v5DFT8GYmoLs8hJX21uHNsKYmoJ7tix3i237+fMwpqbgqKnA1fbB4W0wpqbg9o1L3WI7ffkyjKkpOFiY7WpbfHQPjKkpmLD+E7fY3ivegDE1BdtOn70PzNcnfoMxNQVj13zoFpv8/f9gTE3Bz9lHXG0/nTwMY2oKrvjhHbfYUT+9D2NqCr7LTHO1bcw9BmNqCgZ8+5Zb7PXr5sOYmoJl6WdPVN1TkOXcbskIAGenhr/ll1QYU1Ow8K+drti0ojwYU1PQ/ouX3LY7bfPnMKam4J20za62jNIiGFNTEPXZbLfY+7Z9DWNqCl79bYOrLd9S5vr3PNfju76HMTUFz+5b42ort1tdsVVfNgDw7L41MKam4PFd7ue98DPCiZ8RTi35M0JJrb4YISLvkDT+AADLyR8hZJvC2RBRcyKJZjAxgMlkQnBwMIqLixEUFOTVbfMQ7MVjeQi2ZRyCbdRhGocNEDJKv0qAbD6NsDE/Q0RezmGaC/x78jOi9lh+RrScYRpPv79bfTFCRN5TtPEOVBxdhIDuDyNowGtKp0NECvP0+5vDNETkNfrKu/iaeRdfIqqDVn81DRF5jz52NCBp4DAdht10BJqgjkqnRC2MEAIOAdhlAbvs/GmTAbtwvg7SqRCsd/6dXW6TcbjQ5owTArIAZBmQ4XyeEKRBh2Dn0EWJVcaGLDPkqjgBt+ddQrXoG613xX52uNS1TAAQAhAQEALoEaHDiHg/AECFXca7+0tcMc6oqnigW7gO13Vwnm9llwVe3lmEqvEKueqnczUkhWlxS1ejqy9SNp9x7r9yW5VhAIDOIVrc3TPQFfvvzWdQYT87EOKKF0CHYA3uvzS4gf8yDcNihIi8RqULhi56KKw562HJ/A6a7jOUTokUYnUIFFlklNtllNsEKuwC5TaBcrsMi0Ogd6QeCUHOr6DjJhtWHi2HxSFgdQhYHKj8KWCVBW7uFIDhlV/uaWdseHZbUa37/XuXAIzvGAAAyCl34OWdxbXG3tjR31WMmKwyUtNKa429JtHPVYxYHAJrM8y1xuo1kqsYccjA9hxLrbH+Gsn1XBbAwfzaT/4O1Elur48W2VHbeRbBOveBj6xSh1sxcq4gnfKDJCxGiMir9HHXwJqzHuas7xHAYqRFya9w4FCBFSargMkqw2SVUWKVYbIKlNtk3NrViH6VX9h78yx4Y4+p1m35aVSuYqTEKrD5VO1f2CW2s1+iGpX7F7IEQKNytmtUgPac5X4aCR2CNdBIgFolQSUBKglQS87nbQLUrtgAjYShbfVQSWfjVHA+V6uApLCzJ936ayTc1CkA6so4qTIWkvPch/igs1+terWEu7o7j2aoKk+CrUpRJQHR/mdz0KiA+/oEQYJzm24/AYQazsYCwGP9nUczqmJQ9RNA4HkFxmP9g11HWtzWgXtBpBSewEpEXmUvPozTX3cFVFpE/70AKm3gxVcixZRaZaSb7CiocKDALOOM2YEzZhlnzDIKzA78s2cQBsY4C4xt2Wa8eYEC4x89AzGqnfOIwIF8K17ZWQR/rQr+Ggl+Ggn+Ggn+WhUMaglXxBnQM8L5BV9Q4cD2HAt0agl6lQSd2vklrlNL0KslRPipXUMvDtl5xKSq+Kj6giff5On3N4+MEJFXqYM6Qx14CRwlR2E9tRaGhBuVTqnVK7bIOFFiR3apHTnlDgyJNaBjiHN4Yn++Ff/dW3uBUVDhcD2P8lejR7gWQXoVgnUqBOpUCNKpEKSTEKBVIc549i/3nuFapI6N8ii/cD81xiX6exSrVknwV7EAaWlYjBCRV0mSBH3cNShP+y/MWd+zGFFAdpkd6zLMOGGy40SJHcUW2W15lJ/aVYy0CVCjTYAakX5qhBtUCPNTIdygRpjB+TPK/+zh/g7BWjx1WahHOUg8YkF1wGKEiLzOUFmMWLJWQQjBL6ZGUmyR8WehDX8W2tA9Qos+kc7hlFKrwLfHyl1xEpznJsQFqhHjr0Zi8NmP/g7BWswdHt7UqRO5YTFCRF6nixkGSRMAuSIb9jN7oQ3vq3RKLYLZLiPtjA0H8604mG9FRsnZIZQKu5+rGIkPVGNMgh8SgjRoF6hBfKAaBo3yV0wQ1YbFCBF5naTWQ9dmFCyZ38Cc+R2LES84Y3bgvp8L4DjvkoM4oxqdQ7XoE3X2ag+DRoW7evDEYWo+WIwQUaMwxF8LS+Y3sGR9j8A+TyudTrNyxuzAxpNmVNgFbunivCw0zOA8t8PiEOgVoUPPCB26R+h8Yo4IooZiMUJEjUIfNw4AYMvfCUdFHtR+nl1Z0VpZHQK7cy3YkGXG/tNWCAB6NXBjxwDo1c5zbp4fHAp/LYsPanlYjBBRo1D7x0ITdinsZ/bCcvIH+He8Q+mUfFJ+hQOr0suxIcuMsnMm9+oapsXlsQacOxMUCxFqqViMEFGjMcRdg9Ize2HJ+p7FSC1+zqzA9+kVAIBwgwpXxBkwPM6AmAB+PFPrwd92Imo0+rhrUHrgBVhO/gQh2yCptEqnpLg/C23QqYD2lfdEGZPgj6NFdlzd3g+9I3WcUZRaJRYjRNRotBEDoNJHQLbkw5q7Gfo2w5VOSTGnSu347HAZtudY0DVUi9nJIZAkCcF6FWYNDFE6PSJFcQCSiBqNpFK7TmS1ZH2ncDbKKLbI+OhgCR7+9Qy251ggwTnrqU2+6KpErQaPjBBRo9LHXYOKo4tgzvoeQQNeUzqdJiOEwK8nzfjkUKnrxNS+UTr8vasR7QL50Ut0Lv6PIKJGpY8dDUhqOIr/gL3kGDSBHZROqUlsy7Zg3v4SAED7IA3u6GZEt3DdRdYiap04TENEjUqlD4Eu6nIAgCXre4WzaToDY/RICtPi1q4BeGlIKAsRogtgMUJEjU4ffw0AwJLZcosRk1XGokMlsFXO165WSXj6shDccEkA1LzlPdEFsRghokanj7sWAGDJWQ/ZVqpwNt73Z6ENj288g+/TK7Dk8Nn3x8t0iTzDYoSIGp0muCvUxkRAtsKavU7pdLzq54wKzN5aiDNmGbEBagyP81M6JaJmh8UIETU6SZKgj3MO1ZhbyHkjshBY+HsJ3j9YAocABsXoMefyUCQE8boAorpiMUJETaKqGLFkrYI494YrzZDVITB3jwk/HHdO4z6xcwAe6hsEg4YfqUT1wf85RNQk9DHDIWn8IZefhP3MfqXTaZD8CgcO5luhUQEPXhqECZ0CIPH8EKJ6q1cxMm/ePCQmJsJgMKBfv37YuHGjR+tt3rwZGo0Gffr0qc9uiagZkzQG6NqMBND8h2pijRo82j8YTw4MweBYg9LpEDV7dS5Gli1bhhkzZiAlJQV79+7F0KFDMXbsWGRkZFxwveLiYkyZMgUjR46sd7JE1LwZqq6qaYbFSIlVxrFim+t1t3AdunPuECKvqHMx8sYbb2DatGm4++67kZSUhLlz5yI+Ph7vvvvuBde75557cOuttyI5ObneyRJR81Z1nxrb6W1wmE8rnI3nym0y5uwowvPbitwKEiLyjjoVI1arFbt378bo0aPd2kePHo0tW7bUut6CBQtw9OhRPPPMMx7tx2KxwGQyuT2IqPlTB8RBE9obgIDl5I9Kp+MRi0PglV3FOFpsh1oCdJzAjMjr6lSM5Ofnw+FwIDo62q09OjoaOTk5Na7z119/4YknnsDixYuh0Xh2yducOXMQHBzsesTHx9clTSLyYc1pNlZZCPx3bzHSztjgp5Hw5KAQxPEmd0ReV68TWM8/a1wIUeOZ5A6HA7feeiueffZZdO7c2ePtz5o1C8XFxa5HZmZmfdIkIh9kqLrE99RPELJd4WwubNGhUuzKtUKrAh4fEIwOwVqlUyJqkepU4kdERECtVlc7CpKXl1ftaAkAlJSUYNeuXdi7dy/uu+8+AIAsyxBCQKPRYPXq1bjyyiurrafX66HX6+uSGhE1E9qIQZD04RCWAljztkAfc4XSKdXoh/Ry1zwi9/YOQlIYT1Ylaix1OjKi0+nQr18/rFmzxq19zZo1GDx4cLX4oKAgHDx4EPv27XM9pk+fji5dumDfvn0YNGhQw7InomZHUqlhaDsWAGDJ+k7hbGomC4HtORYAwK1dA5DMy3eJGlWdBz9nzpyJ22+/Hf3790dycjI++OADZGRkYPr06QCcQywnT57EokWLoFKp0KNHD7f1o6KiYDAYqrUTUeuhj78WFcdSYc78FkH9X1E6nWpUkoR/DwrB5lNmXNGWhQhRY6tzMTJp0iQUFBTgueeeQ3Z2Nnr06IFVq1YhISEBAJCdnX3ROUeIqHXTt70akDRwFP8Be/Gf0AR7fk5ZYzr3/DeNSsIw3vSOqElIohncJMJkMiE4OBjFxcUICgpSOh0i8oKCn66CNXstAvu/BmOPh5VOBwCw8PcSaFUSJnUJgIaX8BI1mKff37w3DREpwtDuBgCAJfMbhTNx2pljwQ/HK7DyWDn+LOTEZkRNicUIESlCH38dAMCatxmyOV/RXPIrHHj3gHNyxes6+KMbp3knalIsRohIERpjgnM2ViHDnLVKsTyEEHj/gAllNoFLgjW4pUuAYrkQtVYsRohIMWeHalYqlsPaDDMO5NugVQH39QniuSJECmAxQkSKMcRfDwCwnPwRwm5u8v3nljvwaVopAODvXY2INXKqdyIlsBghIsVowvtC5d8Wwl4GS876Jt9/hskOCUBSmBZj2/MyXiKlsBghIsVIknT26IgCQzUDYvR4fVgY7u0dBFUN99cioqbBYoSIFKWvLEbMmSshhNzk+4/wUyPSX93k+yWis1iMEJGi9G1GQNIYIZefgq1gT5Ps84s/y3Ag39ok+yKii2MxQkSKktR65/TwaJqhmiNFNiz/qwwvbS9Cdpm90fdHRBfHYoSIFKdvVzlUk9G4xYgsBBb+XgIAGNrWgDYBvHqGyBewGCEixRnajgMkNeyF+2EvOd5o+9l80oK/iuwwqCXc2pWTmxH5ChYjRKQ4lSEcuugrAADmjK8aZR9mu8DiP5xzitzY0R+hBp60SuQrWIwQkU8wJPwNAGA+8WWjbP/79HIUWmRE+akwLtG/UfZBRPXDYoSIfIKh3Y0AAFveFjjKs7267RKrjG+PlQMAbulqhE7NOUWIfAmLESLyCeqAttBGJgMAzBlfe3XbAVoJ9/QMxGVt9Ehuo/fqtomo4ViMEJHPaKyhGpUkITnWgIf6BnOmVSIfxGKEiHyGIWECAMCa8wtkc75XtikL4ZXtEFHjYTFCRD5DE5gITdilgHDA7IUJ0HLLHbh/fQF+SC+HYFFC5LNYjBCRT6k6OuKNoZqv/ipDfoWMfaetkDg8Q+SzWIwQkU+pOm/EcmoNZGtxvbeTU2bHryfNAICbOnGCMyJfxmKEiHyKNiQJmuAkQLbBkvV9vbez4kg5ZAH0idShU6jWixkSkbexGCEin9PQoZr8CofrqMgEHhUh8nksRojI57gu8c36AbKtrM7rr0ovh0MA3cK06MyjIkQ+j8UIEfkcTVgfqI2JgKMCllM/1WndCruMtRnOoyI3dOS070TNAYsRIvI5kiSdHao5/kWd1vXTqDA7OQTXdfBH7whdY6RHRF7GYoSIfJKh/c0AAEvmyjoP1XQI1uK2JCMv5yVqJliMEJFP0kYMgDrwEgh7OSyZ33q0DmdbJWqeWIwQkU+SJAl+iX8HAFSkL71ovBACKZsL8cEBE4oscmOnR0RexGKEiHyWoYOzGLGc/AGy5cwFY/fnW3Gs2I4t2Rbo+MlG1KzwvywR+SxtSDdoQnsBsg3mE19dMHZVegUAYES8Af5afrQRNSf8H0tEPs2ToZqTpXbsP22FBODq9rycl6i5YTFCRD7NkHgLAMCavR6O8uwaY9accB4V6RetQ7S/uslyIyLvYDFCRD5NE9ge2shkAALm459XW262y9iQ5ZzkbHSCXxNnR0TewGKEiHyeX+WJrBXHqg/VbDplQYVdIMZfjZ6c5IyoWWIxQkQ+z9B+IiCpYMvfDnvJMbdlfaN0uKlTAMZ39IeKk5wRNUssRojI56n9oqGLuRIAYE7/zG1ZmEGNmzsHYEQ8h2iImisWI0TULFxoqIaImjcWI0TULBja/Q1Q6WAv+g22M/tRYZfx2q5ibM82cxp4omaOxQgRNQsqfQgM8dcDAMr/WoBt2RbszLVg6eEy8EwRouaNxQgRNRt+ne4CAFQcS8X6jHIAzhlXeXdeouZNo3QCRESe0seOhsq/LbItBhwuckAlAVe0NSidFhE1EIsRImo2JJUafpdMwY5jzllW+0TqEGrgjKtEzR2LESJqVvQd78TOk84ZV6+ILAcQomg+RNRwPGeEiJqV38ztYFJHI0DOR1Lxp0qnQ0RewGKEiJoVjQroYChEf/NyWI98BMHLeomaPRYjRNSs9I7U48Ur2uIGyxtwlByBLW+T0ikRUQOxGCGiZkelNSIg8SYAQPlf8xXOhogaisUIETUbG7PMKLXJAAD/yjlHzMc/h2wrUTItImogFiNE1CxkmOx4e78J9/9cAKtDQBuZDHVQFwh7OczpnyudHhE1AIsRImoWNp1yXs7bPVwLnVqCJEmuoyPlf76vZGpE1EAsRojI5wkhsKWyGBkSe3bGVb+OUwGVFrb8nbDm71IoOyJqKBYjROTz/iqy43SFDINaQt9ovatd7RcFQ/ubAQDlh99VKj0iaiAWI0Tk8zZXHhXpH62DXu1+U7yArvcCACqOLYFsKWzy3Iio4ViMEJFPc8gCW7MtANyHaKpoI5OhCe0NOMwoP7KwibMjIm9gMUJEPu1EiR0miwyjVkKvSF215ZIkIaDrvwAA5X/MgxByU6dIRA1Ur2Jk3rx5SExMhMFgQL9+/bBx48ZaY7/66itcddVViIyMRFBQEJKTk/HTTz/VO2Eial06BGvx3qgIPNQ3GBqVVGOMocNkSLoQOEqOwJL1fRNnSEQNVediZNmyZZgxYwZSUlKwd+9eDB06FGPHjkVGRkaN8b/++iuuuuoqrFq1Crt378aIESNw3XXXYe/evQ1OnohahxC9Cj0iqh8VqaLSBsC/8z8AAGW/v9lUaRGRl0iijneZGjRoEPr27Yt33z175npSUhLGjx+POXPmeLSN7t27Y9KkSXj66ac9ijeZTAgODkZxcTGCgoLqki4RNWOyEFBJNR8NOZ+jLBN5yxMB4UDE9fugDevdyNkR0cV4+v1dpyMjVqsVu3fvxujRo93aR48ejS1btni0DVmWUVJSgrCwsLrsmohaobf3mfDs1kL8WWi7aKw6IB6GBOf9asoOzW3kzIjIm+pUjOTn58PhcCA6OtqtPTo6Gjk5OR5t4/XXX0dZWRkmTpxYa4zFYoHJZHJ7EFHrYrbL2JljwaEzNqg9OziCgO4PAXBe5uso9+wziYiUV68TWKXzDpsKIaq11WTp0qWYPXs2li1bhqioqFrj5syZg+DgYNcjPj6+PmkSUTO2O9cKqwzE+KvRIVjj0Tq6yEHQRg0GZCvK0t5q5AyJyFvqVIxERERArVZXOwqSl5dX7WjJ+ZYtW4Zp06bh888/x6hRoy4YO2vWLBQXF7semZmZdUmTiFqAbTnOuUWSY/Ue/bFTxdjzCQDOy3xla3Gj5EZE3lWnYkSn06Ffv35Ys2aNW/uaNWswePDgWtdbunQppk6diiVLluCaa6656H70ej2CgoLcHkTUepjtAvvynMXIoBj9RaLd6eOugSakO4TNhPI/OEU8UXNQ52GamTNn4qOPPsL8+fORlpaGhx56CBkZGZg+fToA51GNKVOmuOKXLl2KKVOm4PXXX8dll12GnJwc5OTkoLiYf7EQUc32n7bAKgNRfiq0D/JsiKaKJKkQ0PNxAM4TWYW9ojFSJCIvqnMxMmnSJMydOxfPPfcc+vTpg19//RWrVq1CQkICACA7O9ttzpH3338fdrsd9957L9q0aeN6PPjgg957F0TUomyvHKIZGFO3IZoqfom3QB3QDrI5F+VHFng7PSLysjrPM6IEzjNC1LpsOmnGxpNm3NQpAJ1CtfXaRtkf82Dadi9U/nGImnAEkrpuwz1E1HCNMs8IEVFTuLytAbMGhtS7EAEA/07ToPJvC7k8C+V/fezF7IjI21iMEFGLJKn1MPZ6EgBQeuAlCLtZ4YyIqDYsRojIZzhkgR+PlyO/wuGV7TmPjsRBLj+J8r8+8so2icj7WIwQkc84dMaGBb+XYtamM5C9cDqb29GR/S9AtpU2eJtE5H0sRojIZ2zPdl5F0z9a7/EN8i7Gv9M0qAMvgWzORdkh3tGXyBexGCEinyALgZ259Zvo7EIktQ6BfV8EAJQdfAUO82mvbZuIvIPFCBH5hD8LbSiyyPDXSOgRofPqtg3tb4YmvC+EvRSl+5/36raJqOFYjBCRT9hROdFZv2gdNCrvDNFUkSQVgvr9BwBQ/se7sBcf9ur2iahhWIwQkeKEEK5iZFCMoVH2oY8dBX3cNYCww7RzZqPsg4jqh8UIESnudIWMM2YZOhXQK9K7QzTnChrwBqDSwpK1CuasVY22HyKqGxYjRKS4KH81ProqAk8OCoFe7d0hmnNpgjsjIMl5XyzTjpkQDmuj7YuIPMdihIh8gr9WhaSwxjsqUsXY+99QGaLgMB1G2e+vN/r+iOjiWIwQkaKa+l6dKl2wc7gGQMn+52A3HW3S/RNRdSxGiEhRazPMmLXpDH7JqmiyfRo63Apdm1GAw4zibf/X5AUREbljMUJEitqVa8GxYjuKLHKT7VOSJAQnvwuo9LCeWoOKY6lNtm8iqo7FCBEppsIu47cC50mk/aK8N+uqJzRBHRHY52kAgGn7A3CUnWzS/RPRWSxGiEgxB05bYZeBGH812hrVTb7/gB6PQRveH8JahOIt/+BwDZFCWIwQkWJ25VYeFYnWQfLSjfHqQlJpEDz0E0Clh+XkD6j46+Mmz4GIWIwQkUIcssCevLN36VWKNqQbAvu+AAAw7XiQU8UTKYDFCBEp4nChDaU2AaNWQpdQraK5BHR7CLo2IyHs5SjcMAnCblY0H6LWhsUIESnCoJGQ3EaPIbEGqL18Y7y6klRqhAz9FCpDJOyF+2Ha9bCi+RC1NixGiEgRHYK1mNE3GHf1CFQ6FQCA2r8Ngi9fBAAo/2Meyo9+qnBGRK0HixEiokqGuKth7P0UAKB4yz9hK9ijcEZErQOLESJqckeKbMgssfvkpbTGPrOhjxsHOMwo/PlGOCpylU6JqMVjMUJETS41rRSP/HoGG7J870RRSVIhZOhiqIM6wVGWgcJ1N0DYy5VOi6hFYzFCRE2q1CbjcKENANA9vPHv0lsfKn0IwkZ+B0kfBlv+dhT+ehuE7FA6LaIWi8UIETWp/aetkAUQZ1Qjyr/pZ131lCa4M8KuXAGodLBkfA3Tjgd8cliJqCVgMUJETWpv5URnfZv4XjT1oYseipChiwBIKP9jHkr2pCidElGLxGKEiJqMLAT25TmngL80yjeHaM7nlzgJQcnvAgDKDs5Byf4XFM6IqOVhMUJETeZIkR0lNoEAjfKzrtZFQJd7ENj/FQBA6d6nULL3GQ7ZEHkRixEiajJVQzS9InWKz7paV8YejyKw38sAgNL9z6Fk9+MsSIi8RKN0AkTUetzYMQBdQrUI0DbPv4OMPR+HpDbAtGMGyn57FXJFLoKHfARJ1XyO8hD5IhYjRNRkdGoJfZrBiasXEtDtQUjaQBRv+Scqji6CoyIHocM/h0oXrHRqRM1W8/zzhIhIQf6d7kLoyJWQNP6wnlqN/O8GwV78p9JpETVbLEaIqEks/L0EqWmlyCtvGZOHGeLGIfzqX6Hyj4PDdBj53w2EOWOl0mkRNUssRoio0VkdAj9nVuDbY+Uot8lKp+M12oh+iLh2J7RRgyFsxSj8+QaYdsyEcFiVTo2oWWExQkSN7lCBFRYHEGZQISGoZZ2qpvaPQfiY9Qjo9hAAoOzQm8j/biDv+EtUByxGiKjR7ama6CxSB0lqXpf0ekJS6xA08A2EXvkNJH047IX7kf/dQJh2PQFhr1A6PSKfx2KEiBqVEMI1v8ilzfxKmosxtLsekeMPwdB+IiAcKPvtPzi9sg+suRuVTo3Ip7EYIaJGdbLUgbwKGVoV0DOi5c/HofaLQujwZQgd8TVUfm3gMP2Jgh+uQOGGSbCbjiqdHpFPYjFCRI1qT+VRkW7hOhg0recjx5AwHpHjf4dfp2kAJJiPf47TK5JQvP0BOMynlU6PyKe0nk8GIlKEBAnBehUujWweN8bzJpU+FCFDPkLE9Xuhjx0DyDaUp/0Pp7+8BCV7noKjIlfpFIl8giSawc0VTCYTgoODUVxcjKCgIKXTIaI6koWAQwa06pZ38mpdWE6tg2n3Y7BXXWmj0sOv4xQYu82EJqSrsskRNQJPv795ZISIGp1Kklp9IQIA+tiRiLh2J0KGL4c2YhAgW1Dx54c4vSIJZ9ZeB3PGNxCyTek0iZocj4wQUaPJK3cgwk8FVQu8nLehhBCw5W1G6W+vwZK5EoDzo1hliILfJbfBr+Od0Ib2UDZJogby9PubxQgRNQpZCNyzNh+SJGH2ZSGINbasyc68yV78J8r//BAVRz+FbD57HokmtCcM7W6EIeFv0IT2apFztFDLxmKEiBT1V6EN/95SCH+NhA+vioBGxS/SixGyDZaTP6L8rwWwZH4LCLtrmdqYCEO78dDFjoYueihU2gAFMyXyjKff3/xThYgaRdVEZ70idSxEPCSptDDEXwdD/HWQLWdgzvwW5hNfw3LqJzhK01F26E2UHXoTUGmhixwMXewo6KKvgC6iPySNv9LpE9UbixEiahS7K6eA7xvV+i7p9QaVPgz+He+Af8c7INvKYDn5Iywnf4D11Bo4yjJgzf0F1txfnMGSBtqw3tBGDYYuYhA0YX2gCe4MSdXyJ5mjloHFCBF53RmzA8dNdkgALo1s2VPANwWVNgB+7SfAr/0ECCHgKDkKy6m1sGavhTVvC+SKbNgKdsNWsBvl+F/lSjpoQrpBG9obmrBe0Ib2giakO1R+MTz3hHwOixEi8rq9lUdFLgnRIEjPGQS8SZIkaII6QhPUEQFdpzuLk7IM2PK2wnp6K2z5O2EvPAhhL4X9zD7Yz+wDzpmFXtIEQB14CTRBHaEO7AhN4CVQB3WE2tgear9YSBqDYu+NWi8WI0TkdVXni/Rt4TfG8wWSJEFjTIDGmAC/DrcAAISQ4Sg9AXvhAdjO7Hf9dJQeg7CXwV54APbCAzVuT6WPgCogDmr/OKgD4qDybwu1XzRU+kio/KKgMkRCpY+EpAvmERbyGhYjROR113UIQEyABgNjWIwoQZJU0AQmQhOYCEO7G1ztwmGFo+wE7KYjcJQccf9Zlgk4KiBb8iFb8p1HVC5EpXUWLobKAkUXAkkXDJU2qPJnsLNgcT0POtumMULS+EGSeNSMnFiMEJHXdQnToksYT570NZJaB01QJ2iCOlVbJoSAsBbCUZYFR3kW5MqfjrIsyObTlY88yObTEPZSQLZBrsiGXJFd/4TUBkgaf0hq/8qffs6fVQ/1uc/9ALUOksr5gEoHSa2DpNK7nqPasnPbtJBUGkBSA5La/blU+Vx1znNJDUgqHv1pIixGiIgIkiRB0odBpQ+DNqzXBWOF3QzZ4ixQHBV5kC35ENYiyNZiCFsxhNUE2VYMYS0++7Nqma3k7IYcZgiHGQJnGvndNYCrMKmhgFFVPocKkFSAJAGo+ik5i5nKn3D7WcOyqueV25Bq2Jb7NmvYLioLJ+ns87PF1PnLq7cFJN0PXdTgRuvKC2ExQkReY5cFFh0qRf9oPXpEaDkNfAslaQxQa+KhDohHXY9/CSFD2CsgHOUQducD9vLK1xXOtnOWCUfF2eeyFZCtzp8O509Xm+PssrPLLa44yDYI4XBOJCccEPLZ5xdO2OGKOTfU52cLrQdD/A0AixEiau5+K7DipxMV2JptxnsjI1x/dBFVkSQVJG0A4EMzyAohA3JlkSIc7s9rKF6qx8gARLWfQlRvc1sGGXD76Vwuzo+/0DKIs9twvhlnTOXzs2VTVVzl8xpitOF9G6uLL6pexci8efPw6quvIjs7G927d8fcuXMxdOjQWuN/+eUXzJw5E7///jtiY2Px2GOPYfr06fVOmoh805ZTzqtoLmtjgJqzrlIzIUkqQO2cnI+/tcqo86nMy5Ytw4wZM5CSkoK9e/di6NChGDt2LDIyMmqMT09Px7hx4zB06FDs3bsXTz75JB544AF8+eWXDU6eiHyHzSGwI8dZjAyO5VU0ROS5Ot8ob9CgQejbty/effddV1tSUhLGjx+POXPmVIt//PHHsXLlSqSlpbnapk+fjv3792Pr1q0e7bMxb5R3xuxAua32LogJULvuq1FkdqD0ArHR/mpo1c7YYouMEqtca2yUvxq6yliTRYbpArGR/mroK2NLrDKKLbXHRvipYNA4a8xSm4wic+2x4X4q+FXGlttknLlAbJhBBX+tZ7EhBhWMlbFmu4z8itpjg/UqBOqcsRaHwOny2sdvg3Qq1wRaVodA3gViA3UqBFfG2hwCuReINWolhBjUAJznPOSU1R7rr5UQVhkrC4FTpbXH+mkkhPs5Y4UQOHmBWINGQkRlLABkldhrjdWrJUT6n409WWpHbf+LdWoJUefEniq1Q64lVquWEH1ObE6ZHfZa/uk0KiAmQOMW+1uBDR8eLEG4QYW3rwzn+SJE1Dg3yrNardi9ezeeeOIJt/bRo0djy5YtNa6zdetWjB492q1tzJgx+Pjjj2Gz2aDVVj/9yWKxwGKxuL2ZxvLFn2X4OdNc6/J3R4a7vnxWHC3HD8crao2dOzwMbSo/oFell2PF0fJaY/8zNBTtg5zvfW1GBZb9WVZr7HPJoa7LJH/NMmNRWmmtsSkDQ9Ar0nm4cVu2BR8eLKk19pF+wRhQOQ/E7jwr3t5Xez/f3ycIl7d1zsz4W4ENr+8urjX2nz0DMbKdHwDgcKENL+2oPfaObkaMS3Te4Cu92IZnthbVGntLlwDc2NE5znyy1I4nNhXWGnvjJf64pasRAHC6woGHf639bP1xiX64o1sgAMBklS8YOzLegH/2cv6HKreLC8YOidXjgUuDAQAOgQvGDojW4ZH+Ia7Xj208A0ctRUOvCC1SBoW6XqdsLkSFvebgzqFaPD/4bOxz24pQWEsx2z5Ig/8MDXO9nrOjGDm1FHFtAtSYOzzc9fr13SZkVBZQyW30LESIqE7qVIzk5+fD4XAgOjrarT06Oho5OTk1rpOTk1NjvN1uR35+Ptq0aVNtnTlz5uDZZ5+tS2r1ZtBICNTV/sF57jiWXn2R2HM+gHV1iL3YdtXnJHGx7Z4bq1XhgrGaOsRqz4nVSJ7HqqUL51t1dKgxY1UXyVd/TqyEC8caNJ7H+mncl1041n3ENFCngqOWwx3VYrUSNLUMuAacl0OAVoJd1JyHfw2xteUcoHVvN1bGBmpVuCrBr+ZkiIhqUadhmlOnTqFt27bYsmULkpOTXe0vvvgiPv30U/zxxx/V1uncuTPuvPNOzJo1y9W2efNmXH755cjOzkZMTEy1dWo6MhIfH98owzRERETUOBplmCYiIgJqtbraUZC8vLxqRz+qxMTE1Biv0WgQHh5e4zp6vR56PU+AIyIiag3qdDWNTqdDv379sGbNGrf2NWvWYPDgmidKSU5Orha/evVq9O/fv8bzRYiIiKh1qfOlvTNnzsRHH32E+fPnIy0tDQ899BAyMjJc84bMmjULU6ZMccVPnz4dJ06cwMyZM5GWlob58+fj448/xiOPPOK9d0FERETNVp0nPZs0aRIKCgrw3HPPITs7Gz169MCqVauQkJAAAMjOznabcyQxMRGrVq3CQw89hHfeeQexsbH473//iwkTJnjvXRAREVGzVed5RpTQmPOMEBERUePw9Pu7zsM0RERERN7EYoSIiIgUxWKEiIiIFMVihIiIiBTFYoSIiIgUxWKEiIiIFMVihIiIiBTFYoSIiIgUxWKEiIiIFFXn6eCVUDVJrMlkUjgTIiIi8lTV9/bFJntvFsVISUkJACA+Pl7hTIiIiKiuSkpKEBwcXOvyZnFvGlmWcerUKVx55ZXYtWtXteUDBgzAzp07L9hW22uTyYT4+HhkZmY2yn1vasrNG+tcLMaTPvG0rSX3VW3LfLmv6tNPnq7XVH117nP2lWefVYDv9ZWn67CvWm9f9e/fHz///DNiY2OhUtV+ZkizODKiUqkQFxcHjUZTY0ep1epq7ee3Xex1UFBQo3zB1pSbN9a5WIwnfeJpW0vuq9qW+XJf1aefPF2vqfqqpuXsK89eA77TV56uw75qvX2l0WgQFxd30bhmdQLrvffe63H7+W0Xe91Y6rMfT9a5WIwnfeJpW0vuq4b8TtXU1hR9Vd99+FJf+fLvlKfrNVZftbT/fxeLY195HteS+6pZDNM0Jk9vb0zsq7pgX3mOfeU59pXn2Fee84W+alZHRhqDXq/HM888A71er3QqPo995Tn2lefYV55jX3mOfeU5X+irVn9khIiIiJTV6o+MEBERkbJYjBAREZGiWIwQERGRoliMEBERkaJYjHiopKQEAwYMQJ8+fdCzZ098+OGHSqfkszIzMzF8+HB069YNvXr1whdffKF0Sj7txhtvRGhoKG666SalU/E53333Hbp06YJOnTrho48+Ujodn8bfI8/w88lzTfm9x6tpPORwOGCxWODv74/y8nL06NEDO3fuRHh4uNKp+Zzs7Gzk5uaiT58+yMvLQ9++fXH48GEEBAQonZpPWr9+PUpLS/HJJ59g+fLlSqfjM+x2O7p164b169cjKCgIffv2xfbt2xEWFqZ0aj6Jv0ee4eeT55rye49HRjykVqvh7+8PADCbzXA4HBe9C2Fr1aZNG/Tp0wcAEBUVhbCwMJw5c0bZpHzYiBEjEBgYqHQaPmfHjh3o3r072rZti8DAQIwbNw4//fST0mn5LP4eeYafT55ryu+9FlOM/Prrr7juuusQGxsLSZKwYsWKajHz5s1DYmIiDAYD+vXrh40bN9ZpH0VFRejduzfi4uLw2GOPISIiwkvZN62m6Ksqu3btgizLzfaOy03ZVy1NQ/vu1KlTaNu2ret1XFwcTp482RSpNzn+nnnOm33V3D+fLsYbfdVU33stphgpKytD79698fbbb9e4fNmyZZgxYwZSUlKwd+9eDB06FGPHjkVGRoYrpl+/fujRo0e1x6lTpwAAISEh2L9/P9LT07FkyRLk5uY2yXvztqboKwAoKCjAlClT8MEHHzT6e2osTdVXLVFD+66mv8AkSWrUnJXijd+z1sJbfdUSPp8uxht91WTfe6IFAiC+/vprt7aBAweK6dOnu7V17dpVPPHEE/Xax/Tp08Xnn39e3xR9RmP1ldlsFkOHDhWLFi3yRpo+oTF/r9avXy8mTJjQ0BR9Vn36bvPmzWL8+PGuZQ888IBYvHhxo+eqtIb8nrX036Pz1bevWuLn08V44/OrMb/3WsyRkQuxWq3YvXs3Ro8e7dY+evRobNmyxaNt5ObmwmQyAXDeVOjXX39Fly5dvJ6r0rzRV0IITJ06FVdeeSVuv/32xkjTJ3ijr1orT/pu4MCB+O2333Dy5EmUlJRg1apVGDNmjBLpKoq/Z57zpK9ay+fTxXjSV035vadplK36mPz8fDgcDkRHR7u1R0dHIycnx6NtZGVlYdq0aRBCQAiB++67D7169WqMdBXljb7avHkzli1bhl69ernGKD/99FP07NnT2+kqyht9BQBjxozBnj17UFZWhri4OHz99dcYMGCAt9P1KZ70nUajweuvv44RI0ZAlmU89thjrfLqNU9/z1rj79H5POmr1vL5dDGe9FVTfu+1imKkyvnjzUIIj8eg+/Xrh3379jVCVr6pIX11+eWXQ5blxkjLJzWkrwC06itELtZ3119/Pa6//vqmTssnXayvWvPv0fku1Fet7fPpYi7UV035vdcqhmkiIiKgVqur/bWal5dXrSps7dhXnmNf1R/7znPsK8+xrzzna33VKooRnU6Hfv36Yc2aNW7ta9asweDBgxXKyjexrzzHvqo/9p3n2FeeY195ztf6qsUM05SWluLIkSOu1+np6di3bx/CwsLQrl07zJw5E7fffjv69++P5ORkfPDBB8jIyMD06dMVzFoZ7CvPsa/qj33nOfaV59hXnmtWfdUo1+goYP369QJAtccdd9zhinnnnXdEQkKC0Ol0om/fvuKXX35RLmEFsa88x76qP/ad59hXnmNfea459RXvTUNERESKahXnjBAREZHvYjFCREREimIxQkRERIpiMUJERESKYjFCREREimIxQkRERIpiMUJERESKYjFCREREimIxQkRERIpiMUJERESKYjFCREREimIxQkRERIpiMUJERESK+n9jDnan9c9x+AAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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