SearchingCFLconditions-checkpoint.ipynb 2.28 MB
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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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",
      "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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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8+HDeeeedCm0LFy5k6NChOJ3OStdxu9243e76Tu2QLMsGlg1sThrr164J+vYVKAc/gr4CTFkewbJcTFkOwbLcCv83ZbkEveX/J1ACxk+wJINgSQbkHGbH9gjsUakHPDr+8v+YrtijO2PZKv/ZikjzV1JSwk8//VThyEgwGGT16tVcccUVAIwZM4ZPP/00PAlKo1PjYqSwsJBNmzaFnqelpbF27VoSExPp2LEjM2bMYMeOHbzwwgsATJs2jUcffZTp06dz1VVXsWzZMp599lleeeWVunsVLZRlc2K548Edf0TbMf5Sgt5sgqW7CJTsJlh6wGPf80DpLoJF2wmW7oZACYH8Hwnk/1hFYnbs0V1wxHbHHtsDR2x3HHE9cMT3xRbRVkdVRGrJckSScmFh2PZdXZs3byYQCNCzZ89Q24cffkh2dnboNI3IgWpcjKxcuZIxY8aEnu8/nXLJJZcwd+5cMjIySE9PDy3v0qULCxYs4KabbuKxxx6jXbt2/Otf/9JlvY2I5fBgd7THHtWewx3PMP5SAsU7CBRtI1CUTqBoG8GibQSKtxEo3Iq/YEt5sVKwiUDBJtjxfsV9uZNwJgzAkdC//N/EATjj+9bog06kpbIsq0anSsIlKan8VO6KFSs47bTTWL58Oddddx0RERF079493OlJI1TjYuTEE08MDUCtzNy5cw9qGz16NKtXr67prqQRshweHLFH4Yg9qtLlxgQJFu/En/8Tgfyf8IceGwnk/4jxZlOWuZiyzMUHbNSGI74/rtbDcbY6Dler47DH9tARFJEmqm3bttx3331MnTqV6OhoTjzxRH7zm9/w8ccf1/pGatK86a69Uqcsy4Y9qgP2qA7QdkyFZcZfij9vPb6cb/HnfINv7zf4c74hWLobf846/DnrYGP5rQIsVwKuVsfhbD0Cd9uxOJOHaRyKSBMyc+ZMZs6cGe40pIlQMSINxnJ4cCYNxpk0uEJ7oGgHZXuW49uznLI9y/Blr8KU5eDd8T7eHe9TuOYOLGcMrpQTcLUdh6f9JOxxPXXkRKQJmzhxIqtXr6aoqIgOHTrw5ptvMmzYsHCnJWFimUOdc2kk8vPziYuLIy8vj9jY2HCnI/XMBMrw5XyDb88yyjI/w5u5GOPdWyHGHtMNT+ppuFNPx5UySkdNpNkpLS0lLS2NLl264PF4wp2OSJUO9V6t7ve3joxIo2PZXbiSh+JKHkpU7+sxJoh/7zq8GR/j3bmIssxPCRRsomj9IxStfwTLFY+n09lEdDkfV5sx5TPjiohIk6FPbWn0LMuGM+lonElHE93vFoK+Arw7F+Hd9i7e7e8RLN1NyU9zKPlpDjZPKzydf0PEUZeUjzPRqRwRkUZPxYg0OTZnDBGdziai09mYYICy3V9SmvYfSn7+L8HSPRT/MJviH2bjSBhAZI8rieh6ETZ3QrjTFhGRKuhmJNKkWTY77jajiRv+OClTMkg86QMiul4Edg/+nG/I/+oGdr3ajtwvpuLLXhPudEVEpBIqRqTZsGxO3O0nEn/Ci6Sct5PYY/+NI2EABEop2fwiWe8MJvvD8ZRu/+CQc+WIiEjDUjEizZLNnUBU7+tIPmMtSacux9Plt2DZKcv4mJyPJpH1v/6UbJ6HCQbCnaqISIunYkSaNcuycLU6loTRL9PqnM1E9bkJyxGNP/d7cr+4iKy3B1K69U0dKRERCSMVI9JiOKI7EXvMP2j9m21EH30fljMOf+735Cw+m+x3h+HdsTDcKYqItEgqRqTFsbnjiRn4f7Q+N43oATOxHFH4slexd9FE9n58Bv78zeFOUUSkRVExIi2WzZ1AzOD7aXXOFqL63AiWA++2d9jzVl8K1tyJ8ReHO0URqWOffvoplmWRm5sb7lTkACpGpMWzR7Qm9piHST7zG1xtx0PQS+G6+9jzZm9Kt70b7vREmqRt27ZxxRVX0K5dO1wuF506deIPf/gD2dnZ4U6tQdx9990MGjQo3Gk0GSpGRPZxxvcmccJC4k98DVtUKoGidHI+Pp3cJVcQLMsPd3oiTcaWLVsYOnQoP/74I6+88gqbNm3iiSee4OOPP2b48OHs3bv38BupJZ/PV2/blvqjYkTkAJZlEdH5HFqf9QNRfW8GLEp+mkPW//rjzfgk3OmJNAnXXnstLpeLhQsXMnr0aDp27MikSZP46KOP2LFjBzNnzmTGjBkcd9xxB607YMAA7rrrrtDz5557jt69e+PxeOjVqxezZ88OLfv555+xLItXX32VE088EY/Hw0svvcTWrVs5/fTTSUhIICoqir59+7JgwYIK+1m1ahVDhw4lMjKSESNGsHHjxgrLH3/8cY466ihcLhc9e/bkxRdfrLA8PT2dM888k+joaGJjYznvvPPYtWsXAHPnzuWee+5h3bp1WJaFZVnMnTv3SLu1eTNNQF5engFMXl5euFORFsab+bnZ9VpXs/M5zM7nMLnLrzdBf2m405IWoKSkxKxfv96UlJQcvMwXrPLh9QfrPLYmsrOzjWVZ5sEHH6x0+VVXXWUSEhLMN998YwCzadOm0LLvvvvOAGbjxo3GGGOeeuop07ZtW/P666+bLVu2mNdff90kJiaauXPnGmOMSUtLM4Dp3LlzKGbHjh3m1FNPNSeddJL55ptvzObNm80777xjPvvsM2OMMYsXLzaAOfbYY82nn35qvv/+ezNq1CgzYsSIUB5vvPGGcTqd5rHHHjMbN240Dz30kLHb7eaTTz4xxhgTDAbN0UcfbY4//nizcuVKs3z5cjN48GAzevRoY4wxxcXF5uabbzZ9+/Y1GRkZJiMjwxQXF9eoH5uSQ71Xq/v9rXvTiByCK2UUyWeso2DlrRRvfILiDf/Gt2c5CSe+hj26Y7jTkxbqkg/3VLns6FYubj8mPvT8dx/twVvF3H59Ep3cNfyX+zZdtziLgrKD59yZf2rrauf2008/YYyhd+/elS7v3bs3OTk5pKSkMGDAAF5++WXuuOMOAObNm8ewYcPo0aMHAPfddx8PPfQQZ599NgBdunRh/fr1PPnkk1xyySWhbd54442hGCg/anHOOefQv39/ALp27XpQHg888ACjR48G4Pbbb+fUU0+ltLQUj8fD3//+dy699FKuueYaAKZPn87y5cv5+9//zpgxY/joo4/45ptvSEtLIzU1FYAXX3yRvn378vXXXzNs2DCio6NxOBy0adOm2n3Xkuk0jchh2JzRxA1/nITx72G5E/Flfc2edwbj3bko3KmJNDlm3wSDlmVx4YUXMm/evFD7K6+8woUXXgjAnj17QoNgo6OjQ4/777+fzZsrXn4/dOjQCs9vuOEG7r//fkaOHMldd93FN998c1AeAwYMCP2/bdu2AOzevRuADRs2MHLkyArxI0eOZMOGDaHlqampoUIEoE+fPsTHx4dipGZ0ZESkmjwdTiH5tFXkfHoO/uzV7F04kZjB9xPV/3YsS3W9NJznJ7aqcpnNqvj8qfHVj310TPKRpAVAt27dsCyL9evXM3ny5IOW//DDDyQkJJCcnMwFF1zA7bffzurVqykpKWHbtm2cf/75AASDQQCefvppjj322ArbsNvtFZ5HRUVVeH7llVcyceJE3nvvPRYuXMisWbN46KGHuP7660MxTqcz9H/Lsirs88C2/YwxobYD/19VjNSMPkFFasAR05nkSUuI6H4FYChYPZPcT8/D+EvDnZq0IB6HVeXDZbfqPLYmkpKSOOmkk5g9ezYlJSUVlmVmZjJv3jymTJmCZVl06NCBE044gXnz5jFv3jzGjx9PSkoKACkpKbRv354tW7bQrVu3Co8uXbocNo/U1FSmTZvGG2+8wc0338zTTz9d7dfQu3dvvvzyywptS5cuDZ166tOnD+np6Wzbti20fP369eTl5YViXC4XgYDufVVdOjIiUkOWw0P8yGdwtRpO3vJrKN36OntLd5Mw9n/Y3AmH34BIM/foo48yYsQIJk6cyP3330+XLl34/vvvufXWW2nfvj0PPPBAKPbCCy/k7rvvpqysjIcffrjCdu6++25uuOEGYmNjmTRpEl6vl5UrV5KTk8P06dOr3P+NN97IpEmT6NGjBzk5OXzyySdVjmGpzK233sp5553H4MGDGTduHO+88w5vvPEGH330EQDjx49nwIABXHjhhTzyyCP4/X6uueYaRo8eHTpl1LlzZ9LS0li7di0dOnQgJiYGt9tdk25sWep+XG3d09U00liV7vzEZLwUa3Y+h9n9Zl/jL0wPd0rSTBzqCoWm4OeffzaXXnqpadOmjXE6nSY1NdVcf/31Jisrq0JcTk6OcbvdJjIy0hQUFBy0nXnz5plBgwYZl8tlEhISzAknnGDeeOMNY8wvV9OsWbOmwjrXXXedOeqoo4zb7TatWrUyF198cWi/+6+mycnJCcWvWbPGACYtLS3UNnv2bNO1a1fjdDpNjx49zAsvvFBhH1u3bjVnnHGGiYqKMjExMeY3v/mNyczMDC0vLS0155xzjomPjzeAee6552rRi01DXVxNYxnT+G9Xmp+fT1xcHHl5ecTGxoY7HZEKfHu/Ye9HkwgW78QW2Z7Ekz7AmdAv3GlJE1daWkpaWhpdunTB4/GEOx2RKh3qvVrd72+NGRE5Qs7EASSfsgxHXG+CxTvIfn8UZVlfhzstEZEmQ8WISB2wR3ck6ZQvcbYegSnLZe/CCfiy14Q7LRGRJkHFiEgdsbkTy0/R7CtIsheehC/n23CnJSLS6KkYEalDNmcMieMX4Ew+BuPNZu+H4/Dlrg93WiIijZqKEZE6ZnPFkXjSBziSBhMs3cPeD8biz9t4+BVFRFooFSMi9cDmTiDppIU4EgYSLN3F3oUTCBTvDHdaIiKNkooRkXpi8ySROHER9tgeBIrS2bvoFIJl+eFOS0Sk0VExIlKP7J5WJJ70PjZPa/w568j59FxM0B/utEREGhUVIyL1zBHTtfyOv45IynYuIv/rqqexFhFpiVSMiDQAV/JQ4ke9BEDxhn9TvPGpMGckIg3BsizeeuutsO3/008/xbIscnNzw5ZDdagYEWkgnk5nEX30/QDkLb+Wsl1fHmYNkaZt6dKl2O12Tj755HCnUm133303gwYNqrP1MjIymDRp0pEn1sypGBFpQNED/oSn8xQwfnI+PY9Aya5wpyRSb+bMmcP111/Pl19+SXp6erjTCYs2bdrobr3VoGJEpAFZlkXcyGdwxPchWJJB7mfna0CrNEtFRUW8+uqr/P73v+e0005j7ty5FZbn5ORw4YUX0qpVKyIiIujevTvPPfccAGPHjuW6666rEJ+dnY3b7eaTTz4BoHPnztx///1MnTqV6OhoOnXqxP/+9z/27NnDmWeeSXR0NP3792flypWhbcydO5f4+HjeeustevTogcfj4aSTTmLbtm2h5ffccw/r1q3DsiwsywrlnZ6eHtpubGws5513Hrt27Trser8+TbN9+3bOP/98EhMTiYqKYujQoXz11VeV9uHw4cO5/fbbK7Tt2bMHp9PJ4sWLAXjppZcYOnQoMTExtGnThgsuuIDdu3dX+XOp7AjOI488QufOnSu0Pffcc/Tu3RuPx0OvXr2YPXt2ldusCypGRBqYzRlNwomvYzmiKcv8lIK1d4U7JWliinxeinxeDrzpelnAT5HPizfgrzQ2aIKhNl8wQJHPS6nfV63Y2pg/fz49e/akZ8+eXHTRRTz33HMV8r3jjjtYv34977//Phs2bODxxx8nOTkZgCuvvJKXX34Zr9cbip83bx7t2rVjzJgxobaHH36YkSNHsmbNGk499VQuvvhipk6dykUXXcTq1avp1q0bU6dOrbDf4uJiHnjgAZ5//nmWLFlCfn4+559/PgBTpkzh5ptvpm/fvmRkZJCRkcGUKVMwxjB58mT27t3LZ599xqJFi9i8eTNTpkw55Hq/VlhYyOjRo9m5cydvv/0269at449//CPBYPCgWIALL7yQV155pUL+8+fPJyUlhdGjRwNQVlbGfffdx7p163jrrbdIS0vj0ksvremPq4Knn36amTNn8sADD7BhwwYefPBB7rjjDp5//vkj2u4hmSYgLy/PACYvLy/cqYjUmeIt/zE7n8PsfM4ypTsXhzsdaWRKSkrM+vXrTUlJyUHLmHOzYc7NZndJQajt/rWLDHNuNld++WqF2MgXbjfMudmk5WeH2h7+7jPDnJvNBZ++VCE2ed6dhjk3m+/2ZoTanvphWa3yHzFihHnkkUeMMcb4fD6TnJxsFi1aFFp++umnm8suu6zSdUtLS01iYqKZP39+qG3QoEHm7rvvDj3v1KmTueiii0LPMzIyDGDuuOOOUNuyZcsMYDIyyl/Pc889ZwCzfPnyUMyGDRsMYL766itjjDF33XWXGThwYIV8Fi5caOx2u0lPTw+1ff/99wYwK1asqHI9Y4wBzJtvvmmMMebJJ580MTExJjs7+6C4yuzevds4HA7z+eefh9qGDx9ubr311irXWbFihQFMQUH5e2Px4sUGMDk5OVXm+fDDD5tOnTqFnqemppqXX365Qsx9991nhg8fXuk+D/Vere73t46MiIRJRJcpRHS/AjDkfnERwdLscKckUic2btzIihUrQkccHA4HU6ZMYc6cOaGY3//+9/znP/9h0KBB/PGPf2Tp0qWhZW63m4suuigUv3btWtatW3fQX/wDBgwI/T8lJQWA/v37H9R24GkLh8PB0KFDQ8979epFfHw8GzZsqPL1bNiwgdTUVFJTU0Ntffr0Oex6v7Z27VqOPvpoEhMTqxXfqlUrTjrpJObNmwdAWloay5Yt48ILLwzFrFmzhjPPPJNOnToRExPDiSeeCFDrMTp79uxh27ZtXHHFFURHR4ce999/P5s3b67VNqvDUW9bFpHDij3mn5Tt+pJA/kbylv2O+BNfw7KscKcljVzhRQ8AEOlwhdpu7XciN/YZhcNmrxC7+/y7AYhwOENt1/YeyVU9jsVuVfx79Off/Omg2Eu7D6txfs8++yx+v5/27duH2owxOJ1OcnJySEhIYNKkSWzdupX33nuPjz76iHHjxnHttdfy97//HSg/VTNo0CC2b9/OnDlzGDduHJ06daqwH6fzlzz3/95U1vbr0yCV/Y4d6vfOGFPp8qraqxIREVHt2P0uvPBC/vCHP/Dvf/+bl19+mb59+zJw4ECgfFzOhAkTmDBhAi+99BKtWrUiPT2diRMnUlZWVun2bDZbhdM+AD7fL6fr9vfV008/zbHHHlshzm6v+N6qSzoyIhJGNmcUCaNfActB6dY3KN3ycrhTkiYgyukmyumu8EXosjuIcrpx2x2VxtoOKDycNjtRTjeeA4qOQ8XWhN/v54UXXuChhx5i7dq1oce6devo1KlT6K98KP/L/9JLL+Wll17ikUce4amnfpl/p3///gwdOpSnn36al19+mcsvv7xGeRwqvwMHtW7cuJHc3Fx69eoFgMvlIhCoOE6mT58+pKenhwa6Aqxfv568vDx69+5d5Xq/NmDAANauXcvevXurne/kyZMpLS3lgw8+4OWXX+aiiy4KLfvhhx/Iysriz3/+M6NGjaJXr16HHLwK5X2emZlZoSBZu3Zt6P8pKSm0b9+eLVu20K1btwqPLl26VDvvmlIxIhJmzqSjiR50JwB5X12nG+pJk/buu++Sk5PDFVdcQb9+/So8zj33XJ599lkA7rzzTv73v/+xadMmvv/+e959993QF/t+V155JX/+858JBAKcddZZdZKf0+nk+uuv56uvvmL16tVcdtllHHfccRxzzDFA+VU6aWlprF27lqysLLxeL+PHj2fAgAFceOGFrF69mhUrVjB16lRGjx4dOuVT2Xq/9tvf/pY2bdowefJklixZwpYtW3j99ddZtmxZlflGRUVx5plncscdd7BhwwYuuOCC0LKOHTvicrn497//zZYtW3j77be57777Dvn6TzzxRPbs2cNf//pXNm/ezGOPPcb7779fIebuu+9m1qxZ/POf/+THH3/k22+/5bnnnuMf//hHtfu5plSMiDQC0f1vx5k0BFOWS97Sqw46jCrSVDz77LOMHz+euLi4g5adc845rF27ltWrV+NyuZgxYwYDBgzghBNOwG6385///KdC/G9/+1scDgcXXHABHo+nTvKLjIzktttu44ILLmD48OFERERU2O8555zDySefzJgxY2jVqhWvvPJK6PLchIQETjjhBMaPH0/Xrl2ZP3/+Idf7NZfLxcKFC2ndujWnnHIK/fv3589//vNhT39ceOGFrFu3jlGjRtGxY8dQe6tWrZg7dy7//e9/6dOnD3/+859Dp7mq0rt3b2bPns1jjz3GwIEDWbFiBbfcckuFmCuvvJJnnnmGuXPn0r9/f0aPHs3cuXPr9ciIZZrAp15+fj5xcXHk5eURGxsb7nRE6oUv53uy3hkMwTLiT3iZiK6/DXdKEkalpaWkpaXRpUuXOvsibmq2bdtG586d+frrrxk8ePARb2/u3LnceOONjX5q9KbmUO/V6n5/68iISCPhTOhL9MD/AyB/xR8Ieqt/XlmkOfH5fKSnp3Pbbbdx3HHH1UkhIo2bihGRRiS6323ls7OW7iF/5a3hTkckLJYsWUKnTp1YtWoVTzzxRLjTkQagYkSkEbHsLuKGl19RUPLTHLyZn4c5I5GGd+KJJ2KMYePGjRXmDTlSl156qU7RNFIqRkQaGVfKSCJ7/A6A/K+u171rRKTZUzEi0gjFDH4Qy52IP+cbijfqMLWING8qRkQaIZsniZij7wegYM0dBEr3hDkjCZeqbqIm0ljUxXtU08GLNFKRPX5H8Y9P4d+7lsLVdxA3QkdIWhKXy4XNZmPnzp20atUKl8ulWwVIo2KMoaysjD179mCz2XC5XIdfqQqaZ0SkESvb9QXZ758Alp3kM7/BGd8n3ClJAyorKyMjI4Pi4uJwpyJSpcjISNq2bVtpMVLd728dGRFpxFwpo3B3nIw3/S0KVt5G4vh3wp2SNCCXy0XHjh3x+/2Hve+JSDjY7XYcDscRH7VTMSLSyMUO+Qt7tr2Ld/u7eDM+wd12bLhTkgZkWRZOp7PC3WhFmhsNYBVp5BxxPYjsOQ2AgpV/1H1rRKTZUTEi0gRED7oTyxGNL3sVpelvhjsdEZE6VatiZPbs2aEb4gwZMoQvvvjikPHz5s1j4MCBoUEul112GdnZ2bVKWKQlsntaEdXnRgAK19yJCWr8gIg0HzUuRubPn8+NN97IzJkzWbNmDaNGjWLSpEmkp6dXGv/ll18ydepUrrjiCr7//nv++9//8vXXX3PllVcecfIiLUlU35uxXPH4c7+nNO0/h19BRKSJqHEx8o9//IMrrriCK6+8kt69e/PII4+QmprK448/Xmn88uXL6dy5MzfccANdunTh+OOP5+qrr2blypVHnLxIS2JzxxPd748AFKy9S9PEi0izUaNipKysjFWrVjFhwoQK7RMmTGDp0qWVrjNixAi2b9/OggULMMawa9cuXnvtNU499dQq9+P1esnPz6/wEBGI7H09Nk8rAgWbKUl7JdzpiIjUiRoVI1lZWQQCAVJSUiq0p6SkkJmZWek6I0aMYN68eUyZMgWXy0WbNm2Ij4/n3//+d5X7mTVrFnFxcaFHampqTdIUabZszmii+kwHoHDdAxo7IiLNQq0GsP56chNjTJUTnqxfv54bbriBO++8k1WrVvHBBx+QlpbGtGnTqtz+jBkzyMvLCz22bdtWmzRFmqXIXtdguRII5G+kdOvr4U5HROSI1WjSs+TkZOx2+0FHQXbv3n3Q0ZL9Zs2axciRI7n11lsBGDBgAFFRUYwaNYr777+ftm3bHrSO2+3G7XbXJDWRFsPmiiWqzx8oXHs3hd/cj6fzuViWrtIXkaarRp9gLpeLIUOGsGjRogrtixYtYsSIEZWuU1xcjM1WcTd2ux1AkzeJ1FJU7xuwnDH4c77Fu+3dcKcjInJEavzn1PTp03nmmWeYM2cOGzZs4KabbiI9PT102mXGjBlMnTo1FH/66afzxhtv8Pjjj7NlyxaWLFnCDTfcwDHHHEO7du3q7pWItCA2dwKRPX8PQNH3fw9zNiIiR6bG96aZMmUK2dnZ3HvvvWRkZNCvXz8WLFhAp06dAMjIyKgw58ill15KQUEBjz76KDfffDPx8fGMHTuWv/zlL3X3KkRaoKjeN1C0/mHKdn1B2Z6vcLU6NtwpiYjUimWawLmS6t6CWKSlyf3iUko2P4+n829IOPHVcKcjIlJBdb+/NepNpAmL6nczAKVbX8dfsCXM2YiI1I6KEZEmzJnQH3f7k8EEKVr/SLjTERGpFRUjIk1cVJ+bACjZNJegryDM2YiI1JyKEZEmztXuJOxxvTC+Ako2PR/udEREakzFiEgTZ1kWUb2uA6Bow6MYEwxzRiIiNaNiRKQZiOg2FcsZQyB/I2U7Fx1+BRGRRkTFiEgzYHPGENHtcgCKNlR9E0oRkcZIxYhIMxHV6xoAvDveJ1CYfphoEZHGQ8WISDPhiOuBq80YMEGKf3o23OmIiFSbihGRZiSy59UAFP/0LCboD3M2IiLVo2JEpBnxdJyMzZ1MsHgH3u0Lwp2OiEi1qBgRaUYsu5uI7pcBUPzjU2HORkSkelSMiDQzkT2uAsC7fQGBou1hzkZE5PBUjIg0M47Y7rhSTgAMJZtfDHc6IiKHpWJEpBmK6HYpAMWb5mKMCW8yIiKHoWJEpBnydD4XyxFJIP9HfHuWhzsdEZFDUjEi0gzZnDF4Op0LQPGm58KcjYjIoakYEWmm9p+qKU2bj/EXhzcZEZFDUDEi0ky52ozGHt0Z48unNP1/4U5HRKRKKkZEminLshHR9UIAStJeCXM2IiJVUzEi0ox5ul4AgHf7+wRLs8OcjYhI5VSMiDRjzvg+OBIGgvFTuvX1cKcjIlIpFSMizVzEUftO1Wx5OcyZiIhUTsWISDMX0eV8AMp2fU6gaFuYsxEROZiKEZFmzh6V+sv08Gnzw52OiMhBVIyItACeLr8FoPTnV8OciYjIwVSMiLQAnk5ng2XDl/U1/oKfw52OiEgFKkZEWgB7RGtcKaMBKN36WpizERGpSMWISAvh6Vx+r5rSn1WMiEjjomJEpIXwdDwbsPBlfUWgMD3c6YiIhKgYEWkh7JFt9l1VAyU6VSMijYiKEZEWRKdqRKQxUjEi0oJ4Op0NgG/PcgLFGWHORkSknIoRkRbEHtkOZ/IxgMG77Z1wpyMiAqgYEWlxPB3PBKA0/a3wJiIiso+KEZEWxt1xMgDejI8J+grCm4yICCpGRFocR1xv7LHdIViGd8cH4U5HRETFiEhLY1kWnlSdqhGRxkPFiEgL5Nl/qmbbe5igL7zJiEiLp2JEpAVytjoOm6cVxpdH2a4vw52OiLRwKkZEWiDLZsfdfhIA3u3vhTkbEWnpVIyItFDuDqcC4N2+IMyZiEhLp2JEpIVyt5sAlh1/3gb8BWnhTkdEWjAVIyItlM0dj6v1SECnakQkvFSMiLRgv5yqUTEiIuGjYkSkBQsVIxmLCfqKwpyNiLRUKkZEWjBHfB/sUZ0g6KUs85NwpyMiLZSKEZEWzLIs3B32XeK7Y2GYsxGRlkrFiEgL5243EQDvzg/DnImItFQqRkRaOFfbsWDZCeT/pEt8RSQsVIyItHA2VyzOVsMB8O7UqRoRaXgqRkQEd/t9p2p26FSNiDQ8FSMiEipGyjI+xgT9Yc5GRFoaFSMigjNxMJY7EePLx7fnq3CnIyItjIoRESm/i2/bkwBdVSMiDU/FiIgA4G63rxjJ+DjMmYhIS1OrYmT27Nl06dIFj8fDkCFD+OKLLw4Z7/V6mTlzJp06dcLtdnPUUUcxZ86cWiUsIvXD1XYcAL49Kwj6CsKcjYi0JI6arjB//nxuvPFGZs+ezciRI3nyySeZNGkS69evp2PHjpWuc95557Fr1y6effZZunXrxu7du/H7NUhOpDFxxHTGHtOVQMEWynZ9gafDKeFOSURaCMsYY2qywrHHHsvgwYN5/PHHQ229e/dm8uTJzJo166D4Dz74gPPPP58tW7aQmJhYqyTz8/OJi4sjLy+P2NjYWm1DRA4vd8lVlPz0DFF9pxM77KFwpyMiTVx1v79rdJqmrKyMVatWMWHChArtEyZMYOnSpZWu8/bbbzN06FD++te/0r59e3r06MEtt9xCSUlJlfvxer3k5+dXeIhI/XPvO1Xj3alxIyLScGp0miYrK4tAIEBKSkqF9pSUFDIzMytdZ8uWLXz55Zd4PB7efPNNsrKyuOaaa9i7d2+V40ZmzZrFPffcU5PURKQOuNqOAcCfs45A6R7snlZhzkhEWoJaDWC1LKvCc2PMQW37BYNBLMti3rx5HHPMMZxyyin84x//YO7cuVUeHZkxYwZ5eXmhx7Zt22qTpojUkD0iBUd8PwDKMj8NbzIi0mLUqBhJTk7GbrcfdBRk9+7dBx0t2a9t27a0b9+euLi4UFvv3r0xxrB9+/ZK13G73cTGxlZ4iEjD2H9VTZlO1YhIA6lRMeJyuRgyZAiLFi2q0L5o0SJGjBhR6TojR45k586dFBYWhtp+/PFHbDYbHTp0qEXKIlKf3O32jRvJ/CTMmYhIS1Hj0zTTp0/nmWeeYc6cOWzYsIGbbrqJ9PR0pk2bBpSfYpk6dWoo/oILLiApKYnLLruM9evX8/nnn3Prrbdy+eWXExERUXevRETqhKv1KMAikP8TgeKMcKcjIi1AjecZmTJlCtnZ2dx7771kZGTQr18/FixYQKdOnQDIyMggPT09FB8dHc2iRYu4/vrrGTp0KElJSZx33nncf//9dfcqRKTO2NzxOBIH4d+7hrLMz4joen64UxKRZq7G84yEg+YZEWlY+SumU7T+YSJ7XE3ciCfCnY6INFH1Ms+IiLQMrjajAfDu+izMmYhIS6BiREQO4krZN24k7wcCJbvCnY6INHMqRkTkIDZ3Io6E/gCUZeroiIjULxUjIlKp/adqynSqRkTqmYoREamUq82JgI6MiEj9UzEiIpVyp5wAgD/3e4KlWWHORkSaMxUjIlIpmycZR1xvAMr2LAtzNiLSnKkYEZEqOVuX3+ahbNeSMGciIs2ZihERqZKr9UgAfHuWhjkTEWnOVIyISJVc+4+MZH2NCZSFORsRaa5UjIhIleyxPbDcSRAoxbd3TbjTEZFmSsWIiFTJsqxfjo7s1rgREakfKkZE5JBC40Z2a9yIiNQPFSMickgHHhlpAjf5FpEmSMWIiBySM2ko2JwESzIJFP4c7nREpBlSMSIih2Q5InAmDgY0bkRE6oeKERE5rP2najRuRETqg4oRETks575BrDoyIiL1QcWIiBzW/iMj/pxvCZblhzkbEWluVIyIyGHZI9tij+4CGHx7loc7HRFpZlSMiEi1hG6ap3EjIlLHVIyISLXsn/ysTDfNE5E6pmJERKoldEXNnuWYYCDM2YhIc6JiRESqxRHfD8sZg/EV4M/9LtzpiEgzomJERKrFstlxtjoO0CW+IlK3HOFOINyKfF4AIh0uLMsCoCzgxxcM4LDZcdsdB8VGOJzYrPI6zhcMUBbwY7dseBzOWsUW+8swxuCxO7HbymP9wQDegB+bZSOilrElfh9BE8Rtd+Cw2QEIBIOUBnw1irUsi0iHKxRb6vcRMEFcdgfOWsQGTZASvw+AKKc7FOsN+PEHAzhtdlz7+r0mscYYiv1lVf48axJbnZ99XbxPKvt51sX7ZP/P80jfJ7/+eQaSR1C8YzHOXcuI6nVNnf3sj/R9cuDP80jfJ1X9PKsTW1jmxRcEh82OwUasyxb6eeZ4DYGgg4Ax+INQuG+7brsDCxu9Ep0ETJCygJ+MoiAlfjtmf76BMgiC0+7Abtnon+wCgngDfrYVBijw2n/py0AZxoBrX+yAVi7sVnnsjqIguaW2A2J9GGNw2uw4bHb6JTlx28vbdxYFyTlEbJ8kJxH7YjOLAmSX/pKDN+AjeEBsr0QnUY7y2F3FAfYU26qM7ZngJNZtUeL3sbskyO4iKxRbFvQTCAZx2Gw4bQ66xTtJ8JTHZpcGySisOrZrnJPkCBvF/jJyvEG25xP6efqCfvwHxHaKdZASaafYX0ZemSE9zxwUa7fZcNkcpMY4aBftoMjnpdBn2JwbPOD3vmJsh2gHHWLKY4v9hp9yfon1BwP4ggFsloXb7qRtVHkexf4ySnyGH3IC2KuITYm00yXOSbG/DK/fsH7vwbGWZeGxO0mOsNMt3kmJ34cvEOTb7PLYHglOEj2//AwbWosvRqJfmgnA7t/eTStPNAB/++5T/m/1B1zZ41ieHvmbUGzr/9xNsd9H2rl/onNMIgCPbVjCTSve5oKuRzNv9IWh2M7/fZAsbxHfTb6FvgltAJj709f8bulrnNmxL2+NuywU2+fNv7G1MIcVp93AsFYdAZifto6LPn+Z8e26s2ji1aHYYe/8k/W5u1h88jRObNsNgHe3beCsT+YyonVnlpx6XSj2hPcfY2XWdt4dfzmnpvYB4JOMTUxY+BQDE9ux9szpodhJi57ms8wtvHrixfymy0AAlu/ZyvELHqNbTDI/nXt7KPacxc+zYPsPPHf8FC7tPgyAb3MyOPrth2kXGcuOKXeGYi/+4hVe+/kbHj3uLK7tXT4AcnN+Nj3e+AtxLg+5F94fir166Ws8v2klfx16Krf2HwNARnEBHV69D4dlw3fpX0Ox01e8zewflnLXoJO4++iJAOSVlZLw8h0AlF3yF5xW+S/WzNXv8/fvPuOWfqP527DTAfCbYOhnn3PBfcS7IwB48JuPuWftIq7pNYLHhp8d2l/8vDvwmyDbz7uD9lFxAPxz/Rf8ceV7XNJtKHNHnR+Kbf/qfeSVlfLj2bfRPa4VAE9tXM51y9/k3M4D+O+YqaHY7q//mZ3F+aw54yYGJbUHYN7m1Vz25XxO6dCL9066MhQ78K1/sKkgiy9PuZaRKV0AeHPrd5z36YuMbtOVTyddE4od/t6/Wbd3Jwsn/I6T2vcA4MMdGzntozkMTe7A16ffGIod/+GTLN39M2+OvZTJnfoB8MWuLYz54An6xKfw/Vm3hmJ/u83FJ/yBxzLWsH9vq7O3c8y7/6JTdAI//2ZmKPb8z17if+nf89SIc7mqZ/kRlQ25u+n31t9Jdkex54J7QrFXLHmVl7es4eFjzuDGvicAkF6YS5fXHiTS4aTo4lmh2OuWv8kzP37F/YNPZubA8QBkeYto/crdAJjL/h6KvW3le/xz/Rf8acA4HhgyCSgv6vb/7AsveiBUvNyzdhEPfvMxf+gzikeOPROAQNCEYl8bdTsR9khO6RIZ+owYlXw0Q2JOpjRgKPEbXtr5DwL4ODXpaqLtcfzn1Nahz4ij4/rR3X1KKLf/7fk3XlPCxMTLiXMk88LJrXhhU/lnRP+4nvR2nxmKfTfrCYqD+YxPuJhEZ1ueHp/MO9vLPyN6x3Slf8S5odgPsp8lP5DNifHn09rVkUfHJLFkT/lnRPfoVI6O/G0odtHeF8jxZ3J83Dm0cx/FQycksiF/CxMWPkWnqBSOjbokFLs45xX2+LYxPPYMUj29eGBkAru82zl+wWO09SQyKvaX9+oXua+RUbaFYTGT6BLRn7uOi6eMPRz99sMkuWIYF//7UOzSvP+x3buRo6PH0z1yMLcPiyPanU+PN/5ClMPDqYk3hGJX5C/g59LvGBA1ml5Rx3Lj4Fg6xnrp8Op92C0b57S6JRS7qmARm0vW0CdyBP2ij+eagTEMbEXoM+LcVjdj2/cZsa5wMRuLv6Zn5DAGRo/h8r7RjO3oDv3sJyffgMvmAeC7wi9ZX7yUoyKOZkjMSVzYK4ozoh2hz4jTkn5PpD0GgB+KvuKbos/o7OnHMbGncG73KH4T4wh9RkxKvJIYR/l3yU/Fq1lT+BEd3D0ZEXcmp3eNpFNsdOgz4qSES0hwpgCQVvItXxe8T1tXV0bFn8uEThFcEecMfUaMjb+AZFcHALaV/sCy/Ldp5UxlTMJvGd3BQ7d4Z+gz4oT482jj6swfh8apGBGRpsFyxgJ7MSU7CXpzsbnjw51Snfs5z8c/VuWxo9BPRtEvA3Vf2FBItCPIpM4RobbSgGFnUeWDeQ0QPOAuxw47xLltOCywW2BZ5UGtImwkuexYB6zrtkFqjB0LC8sCx14LgtAuyk67CAe2A4JddugR79i3Qfgk14IAdIhx0DnSieOAk/FOG/RI+OWo2Bf5FvihfbSd7tFOXPZfNuywLHoeEPtVgQU+aBftoGeME88BsTZbxdjVRRaUQdsoOz3jnEQ4LMr8+2It6HVA7LfFFnihTaSdXglOopy/JGxRMXZjqQ1KofW+2JhDxG4ps0EJJEeUx8a6bEAwtLxnohP7vmJkm98OxZDoKT+Kk/CrL+UeCU489vJtZwbKYxPc5Uezkn4V2z3eQayzPHavsUMRxLls9E4sPzJzoKPinSS5ymMLLDsUQqzLoneik9aRFWO7xjlo4ymP9ebaoQCineWxbSIr5tAp1kHHyPLYYL4D8iHSUR7bNqpibMcYO0dFOYlyWoSTZZrAPcHz8/OJi4sjLy+P2NjYOt22TtMcPlanaXSa5sDYzDf74CjcTOuJC3G3G9+kT9MEgg6+zfIxsr0n9PP895pC1uz5pcCwWWW0iXKQEuEmwWPn8r4xGMoPfW8rCBI0djwOC4/dIogPt90izuXEYbNhsyx9Rugzosl8RtSH6n5/t/hiRERqJufT8yn9eT4xgx8kesCMcKdTK5tyfbyfVsxXmeVjPP55YiJtosq/LNbs9rKjMECHaDvtox0kRZQXFSJSc9X9/tZpGhGpEWerYyj9eT5lWSvCnUqN/ZzvY/7GIlbvLgu1dY51UOj75W+yo1u7Obp1OLITablUjIhIjbiSywct+5pQMVIWMPz3xyLe2VKMoXx8waj2HiZ2juCoOEfoELyIhIeKERGpEUfiYLBsBIt3EijagT2qfbhTOqwSv2HxthIMcFxbN1N6RNEuWh9/Io2FfhtFpEZszigc8X3x53yLL+vrJlGMxLltXD0gFsuCoSnuw68gIg1KM7CKSI05k48BoCz76zBnUrVP0ktYu8cbej6sjVuFiEgjpWJERGrMta8Y8e1pnONGluwo5alvC3hkdT7ZJbqpn0hjp2JERGrMGRrE+jXGBA8T3bBW7fLy6Lp8DOWDVBM9+pgTaez0WyoiNeZI6Ad2D8aXRyB/U7jTCdle4Oefa/IIGhjV3s1lfaN1pYxIE6BiRERqzLI5cSYeDdBo5hsp9RseXp2HNwD9kpz8fkCsJisTaSJUjIhIrewfxNpY5huZ830B2wsDxLltXD8oFrtNhYhIU6FiRERqxdVqfzES/itqvAFDTmkAC7hhUCzxYbz7qIjUnOYZEZFaCQ1izV6DCZRh2V2HWaP+uO0WfzomnvSCAJ1i9bEm0tToyIiI1Io9phuWKx6CXvy534U7HSzLUiEi0kSpGBGRWrEs65fJz8I038iOQj/PfldAoa9xXV4sIjWjYkREai3cN82bv7GIhVtLmPt9QVj2LyJ1Q8WIiNTaL1fUNPwg1vR8P19lerGAM46KavD9i0jdUTEiIrW2fxCrP/d7gr7CBt33az8VAeV34e0Yo7EiIk2ZihERqTV7ZFtske0Bg3/v2gbb78/5vtBRkXO766iISFOnYkREjogzaTAAvuxVDbbPtzYVAzC8nZsOOioi0uSpGBGRI+JMGgKAL3t1g+xvb2mAFZleACZrrIhIs6A/KUTkiITjyMj4jhHsKdEEZyLNhX6TReSI7D8y4s/bgPEXYzki63V/iR47l/eLwRhTr/sRkYaj0zQickRsEW2xeVLABPHtXddg+7V0R16RZkPFiIgckfKZWBtm3Mh/fyxk416fjoqINDMqRkTkiDkT63/cSEaRn9d+Kubu5Tnkl6kYEWlOVIyIyBFriCtqvtxRfgXNgGQXcW59dIk0J7X6jZ49ezZdunTB4/EwZMgQvvjii2qtt2TJEhwOB4MGDarNbkWkkdp/RY0/93uMv7TOt2+M4csd5ds9vp2nzrcvIuFV42Jk/vz53HjjjcycOZM1a9YwatQoJk2aRHp6+iHXy8vLY+rUqYwbN67WyYpI42SLSsXmTgbjx5f7bZ1vf3Oen8ziAG47DGvjqvPti0h41bgY+cc//sEVV1zBlVdeSe/evXnkkUdITU3l8ccfP+R6V199NRdccAHDhw+vdbIi0jhZloVj/3wjWXU/buSLfUdFhqa48Th0ikakuanRb3VZWRmrVq1iwoQJFdonTJjA0qVLq1zvueeeY/Pmzdx1113V2o/X6yU/P7/CQ0Qat9C4kb11O27EHzQs3VlejIxqr1M0Is1RjYqRrKwsAoEAKSkpFdpTUlLIzMysdJ2ffvqJ22+/nXnz5uFwVG+OtVmzZhEXFxd6pKam1iRNEQmD+pqJdU9JAKfNIsZl0T9Zp2hEmqNaHe/89WRDxphKJyAKBAJccMEF3HPPPfTo0aPa258xYwZ5eXmhx7Zt22qTpog0oNBMrDnfYgJldbbdtlEOHhubxF+OT8Rh00RnIs1RjaaDT05Oxm63H3QUZPfu3QcdLQEoKChg5cqVrFmzhuuuuw6AYDCIMQaHw8HChQsZO3bsQeu53W7cbndNUhORMLNHd8ZyJWDKcvDnfhc6UlIXLMsiKcJeZ9sTkcalRkdGXC4XQ4YMYdGiRRXaFy1axIgRIw6Kj42N5dtvv2Xt2rWhx7Rp0+jZsydr167l2GOPPbLsRaTRsCzrgFM1dTNupNQfJBDUBGcizV2Nb5Q3ffp0Lr74YoYOHcrw4cN56qmnSE9PZ9q0aUD5KZYdO3bwwgsvYLPZ6NevX4X1W7dujcfjOahdRJo+Z9JgyjI+3jdu5Moj3t7bm4v5cGsJ53aPYlKX+r0Bn4iET42LkSlTppCdnc29995LRkYG/fr1Y8GCBXTq1AmAjIyMw845IiLN0y/TwtfNkZGvd5VR6DNEOjVWRKQ5s0wTuONUfn4+cXFx5OXlERsbG+50RKQK/vyf2PNGD7C5aXNRAZbNWett7S4OcP3ibGwWPDU+mRiX5hcRaWqq+/2t324RqTP2mKOwnDEQ9OLP3XBE21q1q/xeNL0SnCpERJo5/YaLSJ2xLFud3cH3m6zyy4OPbq25RUSaOxUjIlKn6mLyM1/A8H12eTEyoJWKEZHmTsWIiNSpX6aFX1PrbfyY68MbgDi3jY4xNR5nLyJNjH7LRaROOZKOBsC/dx0mGMCy1XyysiSPjbO7RWK3Wdgqmd1ZRJoXFSMiUqccsT3BHoHxFxHI/wlHfK8ab6NNlIMpPaPrITsRaYx0mkZE6pRls+NMHAgc2akaEWk5VIyISJ07kmnhN+f6+DrTS7EvWNdpiUgjpWJEROpc6PLevTUvRhZuLeHvq/J4Y1NxXaclIo2UihERqXPOfYNYfdlrqOkkz+v3XdLbL6n2s7eKSNOiYkRE6pwjvi/YnJiyHAKFW6u9XlZJgN0lQWwW9ExUMSLSUqgYEZE6Z9nd5QUJ4K/BINYN2T4AusQ6iHDo40mkpdBvu4jUi9oMYl2/t/wUTZ8kzboq0pKoGBGRelGbQawb9pYfGemtUzQiLYqKERGpFwcOYq2OnNIAGUUBLKCXihGRFkUzsIpIvXAkDAQsgiUZBIozsUe2OWR8vNvGIycmsjXfT5RTfyeJtCT6jReRemFzRuGIK58KvjozsVqWRdsoB8e19dR3aiLSyKgYEZF64widqqn55Gci0nKoGBGRerN/EKv/MINYC8qCPLI6j/fTims8SZqINH0qRkSk3lR3EOtPOT6WZXhZuLUEy7IaIjURaURUjIhIvXEmlhcjgcI0gt6cKuN+zCm/pLdHgq6iEWmJVIyISL2xuROwR3cBwLd3bZVxG1WMiLRoKkZEpF45DzOI1R80bM4rL0Z6qhgRaZFUjIhIvXIcZibW9AI/3gBEOSzaRdsbMjURaSRUjIhIvdp/ZMRfxSDW/eNFuic4sWnwqkiLpGJEROpV6PLevB8I+ooOWp5bGsRuabyISEum6eBFpF7ZI9tgi2hLsCQDf843uFoPr7D8/F7RnNU9Cn9Q84uItFQ6MiIi9e5wg1jddkv3oxFpwfTbLyL1znmYQawi0rLpNI2I1DtHFTOxvrqxkDV7yjitSyQj2+sGeSItlY6MiEi9Cw1izf0OEygLtf+Q42NLnh9vQONFRFoyFSMiUu/s0Z2wXAkQ9OHP/R6AoDFsyfMD0C1eV9KItGQqRkSk3lmWddAg1p2FAUr8BrfdokOMJjsTaclUjIhIg/j1INZNueWTnXWNc2iyM5EWTsWIiDQIZ9K+YmTfINZNuTpFIyLlVIyISINwJu6bFj5nHSYYCN0c76h4XdQn0tKpGBGRBmGP7Y7liML4i/Hl/UjbKDvJETaOitOREZGWTn+SiEiDsGx2HIkD8e1ein/vKm44une4UxKRRkJHRkSkwTiThgLgy1oZ5kxEpDFRMSIiDcaZXF6M5GZtwBhNdCYi5VSMiEiDcSUNA+Bh/0yuWJTFjzm+MGckIo2BxoyISIOxx/XA52xNpr07xmdIjtDfQyKiIyMi0oAsy8buxDMxlp1YeykJbn0EiYiKERFpYDujTgSgo5WOpZlXRQQVIyLSwLbZ+wLQ3rcqzJmISGOhYkREGlS6PwWAdgUfY/ylYc5GRBoDFSMi0mD8QcO2ovKPnQ6+tfhy1oU5IxFpDFSMiEiDKQsYTu0SyUBrNYnBbfiyvg53SiLSCOjSXhFpMJFOGxf2jqagdBmFu1ExIiKAjoyISBg4k8snP1MxIiKgYkREGtCmXB8FZcFQMeLP+4GgryDMWYlIuKkYEZEGEQga7l6Ww5WLstgTTMIWlQoYfFm6xFekpVMxIiINYkdRAF8QPHaL1pH2X+7gm607+Iq0dCpGRKRBpOWV3xSvc5wDm2Xh0rgREdlHxYiINIi0PD8AXWLLL+LTIFYR2U/FiIg0iLT8fcVI3L5iZN9pmkBhGsHSrLDlJSLhV6tiZPbs2XTp0gWPx8OQIUP44osvqox94403OOmkk2jVqhWxsbEMHz6cDz/8sNYJi0jTEzSGn/cfGYlzAmBzx2OP7Q5AWZbGjYi0ZDUuRubPn8+NN97IzJkzWbNmDaNGjWLSpEmkp6dXGv/5559z0kknsWDBAlatWsWYMWM4/fTTWbNmzREnLyJNQ2ZRgNKAwWmD9lH2UHvoVE22TtWItGSWMcbUZIVjjz2WwYMH8/jjj4faevfuzeTJk5k1a1a1ttG3b1+mTJnCnXfeWa34/Px84uLiyMvLIzY2tibpikgjUFAWZEWml4KyIJO7RYXai75/hPyvb8KdejqJ494OY4YiUh+q+/1doyMjZWVlrFq1igkTJlRonzBhAkuXLq3WNoLBIAUFBSQmJtZk1yLShMW4bIzrGFGhEIEDjozsWUEN/y4SkWakRvemycrKIhAIkJKSUqE9JSWFzMzMam3joYceoqioiPPOO6/KGK/Xi9frDT3Pz8+vSZoi0kQ4kwaD5SBYuotA4c84YrqEOyURCYNaDWC1LKvCc2PMQW2VeeWVV7j77ruZP38+rVu3rjJu1qxZxMXFhR6pqam1SVNEGgFjDB+nl7Ap10fwV0c/LEdEeUEC+HZX7+iqiDQ/NSpGkpOTsdvtBx0F2b1790FHS35t/vz5XHHFFbz66quMHz/+kLEzZswgLy8v9Ni2bVtN0hSRRmRPSZCnvi3gzqU5BCs5E+NqPQKAsj0qRkRaqhoVIy6XiyFDhrBo0aIK7YsWLWLEiBFVrvfKK69w6aWX8vLLL3Pqqacedj9ut5vY2NgKDxFpmvbPvNoxxoHDdvARVOf+YmT3sgbNS0QajxqNGQGYPn06F198MUOHDmX48OE89dRTpKenM23aNKD8qMaOHTt44YUXgPJCZOrUqfzzn//kuOOOCx1ViYiIIC4urg5fiog0Rr+e7OzXXK2GA+DPWUfQV4jNGd1guYlI41DjMSNTpkzhkUce4d5772XQoEF8/vnnLFiwgE6dOgGQkZFRYc6RJ598Er/fz7XXXkvbtm1Djz/84Q919ypEpNEKTQNfRTFij+qAPaojmCC+rBUNmZqINBI1nmckHDTPiEjTZIzh6o+yyCsz3D8ige4Jzkrjcj77LaVp/yH66PuIGfh/DZyliNSXeplnRESkJnK8QfLKDDYLOsVWfVZ4/yBWXVEj0jKpGBGRerP/FE2HaDsue9WX/7ta7b+iZhnGBBskNxFpPGo8gFVEpLr6JDm549h4fJVd03sAR+IALEckpiwXf+56nAn9GihDEWkMdGREROpNhMNGv2QXR7d2HzLOsjlx7ruqpmzX5w2Rmog0IipGRKRRcLUZDUBZ5mdhzkREGpqKERGpF/llQV5cX8CSnaXVinel/FKMNIGL/ESkDqkYEZF6sSXPx7tpJfz3x6JqxbuSjwGbu/ymefk/1nN2ItKYqBgRkXpxuMnOfs1yeHC1Og7QqRqRlkbFiIjUi1Axcoj5RX5t/7gR7y4VIyItiYoREakXP+eX3yCvS1zls65W5sBBrBo3ItJyqBgRkTpX6Auyq7h88rLqnqYByk/T2JwEi3cQKEyrr/REpJFRMSIide7nfadoWkfYiHZW/2PGckTiTD4GgLKMxfWSm4g0PipGRKTObSvYP3i1+qdo9nO3HQeAN+OjOs1JRBovTQcvInXu5M4RDGvjPuw08JVxt5tA4bp78e5chDFBLEt/M4k0d/otF5E6Z1kWyRF22kbV/O8dZ6tjsJyxGG82/uw19ZCdiDQ2KkZEpFGxbE5cbccC4N25MMzZiEhDUDEiInVqc66Pv63M5f204lpvw91uAqBiRKSlUDEiInXqxxwfK3eV8W1WWa234W53EgBlu5cQ9BXWVWoi0kipGBGROpWWX/srafazxxyFPboLBH2aGl6kBVAxIiJ1Ki2vfObVrjWY7OzXLMv65VTNjg/qJC8RabxUjIhInSkLGLYXBoCazbxaGXeHSQB4t72jqeFFmjkVIyJSZ9IL/AQNxLksEtxH9vHibncS2CMIFG3Fn/NNHWUoIo2RihERqTOhO/XGObEs64i2ZTkiQ6dqStPfOtLURKQRUzEiInWm0BfEZYMusXUzubOn45kAlKb/r062JyKNk6aDF5E6c1a3KM7oGlmraeAr4049DSwb/r1rCBSmY4/uWCfbFZHGRUdGRKRO2W0WHkfdfLTYPa1wtR4JQOk2HR0Raa5UjIhIo+ZO3X+q5q3wJiIi9UbFiIjUiU+3lXDzZ9n8b3NRnW7X03EyAGWZnxIo2VWn2xaRxkHFiIjUic15frYXBigoq9s5QRyxR+FMPhZMkNK0/9TptkWkcVAxIiJ1Ysu+mVfr6kqaA0UcdSEAJVvm1fm2RST8VIyIyBHzBw1b992Tpmt83Rcjns5TwLLjy/oaf96Pdb59EQkvFSMicsS2F/rxBSHSYZESaa/z7dsjWocmQNPREZHmR8WIiByxLbn7jorEObAd4cyrVYk46iIASra8pHvViDQzKkZE5IhtOWAa+PriTj0TyxFFoGALZbs+r7f9iEjDUzEiIkcs3mOjQ7SdbvUwXmQ/mzOKiK7lA1mLf3is3vYjIg1PxYiIHLFzu0fx0Ogkjmvrqdf9RPa6FoDSrW8QKNpRr/sSkYajYkREmgxn4gBcKSeACVD845PhTkdE6oiKERE5IsW+IMEGHFAa2fu68v1ufAoTKGuw/YpI/VExIiJH5KUNhVz64R4Wbi1ukP15Ok7GFtmOYOkuSn6e3yD7FJH6pWJERI7I5jw/3gDEuRrm48SyOYnqVX50pHDd/Zigv0H2KyL1R8WIiNRaWcCwrWD/HCP1d1nvr0X2vg7LnUQg/0dK0l5psP2KSP1QMSIitZZe4CdgIMZpkRzRcB8nNmcM0X1vAaBw7b06OiLSxKkYEZFa239zvK7xTqx6mnm1KpG9r8PmTiZQsImSzS816L5FpG6pGBGRWjtwGviGZnNGE9X/jwAUrP4TwbL8Bs9BROqGihERqbUt++7Ue1QDjhc5UFSv67HHdCNYkkHh2rvCkoOIHDkVIyJSa8PbuhnS2hWWIyMAlsND3HHlU8MXbfgXvuy1YclDRI6MihERqbWzukXxx2HxJEXYw5aDu/0EPJ3PAxMkb9nvMEFf2HIRkdpRMSIiTV7sMQ9jOePwZX1NwaoZ4U5HRGpIxYiI1Epano/skgCmAaeCr4o9sh3xxz8HQNH3D1Ga/naYMxKRmlAxIiK18ujafK75JJu1exrH/WE8nc4iqs9NAOR+eQm+3PVhzkhEqkvFiIjUWKk/yI7CAACdYsMzeLUyMUP+jLP1CExZLns/HI+/YEu4UxKRalAxIiI1tiXPjwES3DYSPeEbvPprlt1F4ti3ccT3I1iSUV6QFG4Nd1oichgqRkSkxn7YW37FSo+E8Mwvcig2TxKJExZijzmKQGEa2e8eS9mer8KdlogcgooREamxDfuKkT5Jja8YAbBHtiXp5MU4EgYQLN1F9vujKf7x2UYx2FZEDqZiRERqxB80bMwpL0Z6J7rCnE3V7FGpJJ3yJe7U0yHoJW/pleR8dAqBom3hTk1EfkXFiIjUyM/5frwBQ5TDIjWm8YwXqYzNGUPCmDeJGfIXsLnx7viA3W/0IP/rWwiU7gl3eiKyj2WawHHL/Px84uLiyMvLIzY2NtzpiLRoRb4ga/eUUVgWZGLnyHCnU23+3B/IW/Y7ynZ9Ud5gjyCiy/lE9vgdzlbHNvhdh0Vagup+f9fqyMjs2bPp0qULHo+HIUOG8MUXXxwy/rPPPmPIkCF4PB66du3KE088UZvdikgjEOW0MbKdp0kVIgCO+F4knvwZCeMX4EwaAoESSjY9R/aC4ex5rTN5y6+nNP1tgt694U5VpMWp8ZGR+fPnc/HFFzN79mxGjhzJk08+yTPPPMP69evp2LHjQfFpaWn069ePq666iquvvpolS5ZwzTXX8Morr3DOOedUa586MiIidckYg2/PMoo3Pknp1tcw/uIKy+0x3XDE98YRt//RC3tUe2yeFCx74x0nI9LYVPf7u8bFyLHHHsvgwYN5/PHHQ229e/dm8uTJzJo166D42267jbfffpsNGzaE2qZNm8a6detYtmxZtfZZn8XI3tIAxb6qu6BNlB2HrfzwbW5pgMJDxKZE2nHay2PzvEEKyoJVxraOtOPaF5vvDZJ/iNhWkXbc+2ILyoLkeauOTY6w4XGUH/Aq9AXJLa06NinCRsS+2GJfkL2HiE302Ih0Vi823mMjel9sqT9IVknVsXFuGzGu8lhvwLCnOFBlbKzLRqy7PLYsYNh9iNgYl424fbG+gGHXIWKjnRbx++bK8AcNmUVVx0Y6rdC8GkFj2FlYdWyEwwrdQM4YE5okrDIeh0XyATeb217grzLWbbdoFflL7I5CP1X9FrvsFq0PiN1Z6CdYRazTbpFyQGxmkR//r350mcUBftjr47i2brrFN84raWrK+EvwZnyEd9u7eHd9TiDvh0PGW+4k7BFtsLkTsZwxWI7o0L82ZwyWMxrL5gabE8vmhH0Py+YKPbdsTrBsgFX+sPb/W95m7X9eybL9z60Dl1X4fwNosFNaDXnqrLn1Xc3ZI9tjc8XV6Tar+/1do6kTy8rKWLVqFbfffnuF9gkTJrB06dJK11m2bBkTJkyo0DZx4kSeffZZfD4fTufBH2herxev11vhxdSX//5YxCfbSqtc/vi4pNCXz1ubi3n/55IqYx85MZG2UeVduiCtmLc2F1cZ+5dRCXSOLX/tH6WXMP/Hoipj7x2eQM/E8tjPt5fywobCKmNnHhPPgFblf7ktz/Dy9LcFVcbeMiSOYW3cAKzaXcaja6vu5+sHxXJ8ew8A32X7eGhVXpWxv+sfw7iOEQBszPHx4IqqYy/pE80pXcoP96fl+bhrWW6Vsef3jOKsblFA+Rfw7V/mVBl71lGRnN8rGoA9JQFu/rzqQ++ndIngkj4xAOSXBQ8ZOy7Vw+8GlP9CFfvNIWNHtnNzw9Hlv9gBwyFjh6W4uGVofOj5H7/YS6CKomFAspOZxyaEns9ckkOJv/LgHglO7hvxS+y9y3PJqaKY7Rzr4C+jEkPPZ63II7OKIi69wM+fjomvdFlTYzki8KSejif1dACCpVn4cr7Fn7sef96G8n/zfyJYkgnGj/Fm4/dmhzlrkboXf8IrRHQ9Pyz7rlExkpWVRSAQICUlpUJ7SkoKmZmZla6TmZlZabzf7ycrK4u2bdsetM6sWbO45557apJarXkcFjGuqivVAwfVuO2HiT2g4nXVIPZw27UfkMThtntgrNPGIWMdNYh1HhDrsKofa7cOne/+o0P1GWs7TL7uA2ItDh3rcVQ/NsJRcdmhYysO34px2QhUcbjjoFinhaOK0V9Rv8ohymnhN5XnEVlJbGU5u2wWEztFVL7DZsDmScbddgzutmMqtBsTxHj3EijJJFiSQbAsF+MrxPgKMP5Cgr6CX54HyyDowwR9YHyYwL7nxndAexAwlB/WMqH/m/3tlSzbv46pbBkNdC1Cg13z0JDXVjS3vqsdy+4O375rcppm586dtG/fnqVLlzJ8+PBQ+wMPPMCLL77IDz8cfHizR48eXHbZZcyY8cttvZcsWcLxxx9PRkYGbdq0OWidyo6MpKamasyIiIhIE1Ivp2mSk5Ox2+0HHQXZvXv3QUc/9mvTpk2l8Q6Hg6SkpErXcbvduN3hq9BERESk4dTo0l6Xy8WQIUNYtGhRhfZFixYxYsSIStcZPnz4QfELFy5k6NChlY4XERERkZalxvOMTJ8+nWeeeYY5c+awYcMGbrrpJtLT05k2bRoAM2bMYOrUqaH4adOmsXXrVqZPn86GDRuYM2cOzz77LLfcckvdvQoRERFpsmp0mgZgypQpZGdnc++995KRkUG/fv1YsGABnTp1AiAjI4P09PRQfJcuXViwYAE33XQTjz32GO3ateNf//pXtecYERERkeZN08GLiIhIvajX6eBFRERE6oqKEREREQkrFSMiIiISVipGREREJKxUjIiIiEhYqRgRERGRsFIxIiIiImGlYkRERETCSsWIiIiIhFWNp4MPh/2TxObn54c5ExEREamu/d/bh5vsvUkUIwUFBQCkpqaGORMRERGpqYKCAuLi4qpc3iTuTRMMBtm5cydjx45l5cqVBy0fNmwYX3/99SHbqnqen59Pamoq27Ztq5f73lSWW12sc7iY6vRJdduac19Vtawx91Vt+qm66zVUXx34f/VV9T6roPH1VXXXUV+13L4aOnQon3zyCe3atcNmq3pkSJM4MmKz2ejQoQMOh6PSjrLb7Qe1/7rtcM9jY2Pr5Qu2stzqYp3DxVSnT6rb1pz7qqpljbmvatNP1V2vofqqsuXqq+o9h8bTV9VdR33VcvvK4XDQoUOHw8Y1qQGs1157bbXbf912uOf1pTb7qc46h4upTp9Ut60599WRvKcqa2uIvqrtPhpTXzXm91R116uvvmpuv3+Hi1NfVT+uOfdVkzhNU5+qe3tjUV/VhPqq+tRX1ae+qj71VfU1hr5qUkdG6oPb7eauu+7C7XaHO5VGT31Vfeqr6lNfVZ/6qvrUV9XXGPqqxR8ZERERkfBq8UdGREREJLxUjIiIiEhYqRgRERGRsFIxIiIiImGlYqSaCgoKGDZsGIMGDaJ///48/fTT4U6p0dq2bRsnnngiffr0YcCAAfz3v/8Nd0qN2llnnUVCQgLnnntuuFNpdN5991169uxJ9+7deeaZZ8KdTqOm91H16POp+hrye09X01RTIBDA6/USGRlJcXEx/fr14+uvvyYpKSncqTU6GRkZ7Nq1i0GDBrF7924GDx7Mxo0biYqKCndqjdLixYspLCzk+eef57XXXgt3Oo2G3++nT58+LF68mNjYWAYPHsxXX31FYmJiuFNrlPQ+qh59PlVfQ37v6chINdntdiIjIwEoLS0lEAgc9i6ELVXbtm0ZNGgQAK1btyYxMZG9e/eGN6lGbMyYMcTExIQ7jUZnxYoV9O3bl/bt2xMTE8Mpp5zChx9+GO60Gi29j6pHn0/V15Dfe82mGPn88885/fTTadeuHZZl8dZbbx0UM3v2bLp06YLH42HIkCF88cUXNdpHbm4uAwcOpEOHDvzxj38kOTm5jrJvWA3RV/utXLmSYDDYZO+43JB91dwcad/t3LmT9u3bh5536NCBHTt2NETqDU7vs+qry75q6p9Ph1MXfdVQ33vNphgpKipi4MCBPProo5Uunz9/PjfeeCMzZ85kzZo1jBo1ikmTJpGenh6KGTJkCP369TvosXPnTgDi4+NZt24daWlpvPzyy+zatatBXltda4i+AsjOzmbq1Kk89dRT9f6a6ktD9VVzdKR9V9lfYJZl1WvO4VIX77OWoq76qjl8Ph1OXfRVg33vmWYIMG+++WaFtmOOOcZMmzatQluvXr3M7bffXqt9TJs2zbz66qu1TbHRqK++Ki0tNaNGjTIvvPBCXaTZKNTn+2rx4sXmnHPOOdIUG63a9N2SJUvM5MmTQ8tuuOEGM2/evHrPNdyO5H3W3N9Hv1bbvmqOn0+HUxefX/X5vddsjowcSllZGatWrWLChAkV2idMmMDSpUurtY1du3aRn58PlN9U6PPPP6dnz551nmu41UVfGWO49NJLGTt2LBdffHF9pNko1EVftVTV6btjjjmG7777jh07dlBQUMCCBQuYOHFiONINK73Pqq86fdVSPp8Opzp91ZDfe4562Wojk5WVRSAQICUlpUJ7SkoKmZmZ1drG9u3bueKKKzDGYIzhuuuuY8CAAfWRbljVRV8tWbKE+fPnM2DAgNA5yhdffJH+/fvXdbphVRd9BTBx4kRWr15NUVERHTp04M0332TYsGF1nW6jUp2+czgcPPTQQ4wZM4ZgMMgf//jHFnn1WnXfZy3xffRr1emrlvL5dDjV6auG/N5rEcXIfr8+32yMqfY56CFDhrB27dp6yKpxOpK+Ov744wkGg/WRVqN0JH0FtOgrRA7Xd2eccQZnnHFGQ6fVKB2ur1ry++jXDtVXLe3z6XAO1VcN+b3XIk7TJCcnY7fbD/prdffu3QdVhS2d+qr61Fe1p76rPvVV9amvqq+x9VWLKEZcLhdDhgxh0aJFFdoXLVrEiBEjwpRV46S+qj71Ve2p76pPfVV96qvqa2x91WxO0xQWFrJp06bQ87S0NNauXUtiYiIdO3Zk+vTpXHzxxQwdOpThw4fz1FNPkZ6ezrRp08KYdXior6pPfVV76rvqU19Vn/qq+ppUX9XLNTphsHjxYgMc9LjkkktCMY899pjp1KmTcblcZvDgweazzz4LX8JhpL6qPvVV7anvqk99VX3qq+prSn2le9OIiIhIWLWIMSMiIiLSeKkYERERkbBSMSIiIiJhpWJEREREwkrFiIiIiISVihEREREJKxUjIiIiElYqRkRERCSsVIyIiIhIWKkYERERkbBSMSIiIiJhpWJEREREwkrFiIiIiITV/wOlzBa5wXyMnAAAAABJRU5ErkJggg==",
      "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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",
      "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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",
      "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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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XX19++aVks1n6vFA9VHkYiY6O1ocffujStmzZMkVFRZV5vQgAoGxWHtG1Ody/E+z27dtVXFysNm3aONs+++wz5eTkqHPnzlXRPdRwHoeRw4cPa9u2bc7p9PR0paamqn79+mrRooWmTJmi3bt3a8GCBZKkcePGacaMGZo0aZL+9re/ac2aNZo7d64WL15cec8CAM4DNeWIboMGDWSz2bRu3Tpdc801Wrt2rcaPH69atWrpoosusrp7qIY8DiPr169Xnz59nNMnr+0YNWqUEhISlJmZqYyMDOf88PBwLV26VPfcc49mzpyppk2b6qWXXrL0a70AgKrTpEkTPf744xo5cqQCAgJ0xRVX6KabbtLnn39e4R9Sw7nN4zByxRVXnPKq6oSEhFJtvXv31saNGz3dFACghoqLi1NcXJzV3UANcVa+TQMAwB8NGDBAGzdu1JEjR9S8eXO9//776tatm9XdgkUIIwCAs+6zzz6zuguoRvjVXgAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAOC88eWXX8pms+n333+3uiv4A8IIAKDS7dy5U2PGjFHTpk3l4+OjsLAw3X333crJybG6a2fFtGnT1KVLF6u7UWMQRgAAlWrHjh2KiorSzz//rMWLF2vbtm165ZVX9Pnnnys6OloHDhyosm0XFhZW2bpRdQgjAIBKdeedd8rHx0fLli1T79691aJFC8XGxmr58uXavXu34uLiNGXKFF166aWllu3UqZOmTp3qnJ4/f74iIiLk5+entm3batasWc55v/76q2w2m95++21dccUV8vPzU2Jion777Tdde+21qlevnmrXrq327dtr6dKlLtvZsGGDoqKi5O/vrx49emjr1q0u82fPnq0LL7xQPj4+atOmjd58802X+RkZGbr++usVEBCgwMBADRkyRPv27ZMkJSQk6NFHH9WmTZtks9lks9mUkJBwpsN6bjM1QG5urpFkcnNzre4KAJwVx44dM1u2bDHHjh0rPa+wpNxHflFJpdd6Iicnx9hsNvPUU0+VOf9vf/ubqVevnvn++++NJLNt2zbnvB9//NFIMlu3bjXGGDNnzhzTpEkT8+6775odO3aYd99919SvX98kJCQYY4xJT083kkzLli2dNbt37zZXX321ufLKK833339vtm/fbj788EPz1VdfGWOMWbFihZFkunfvbr788kuzefNm06tXL9OjRw9nP9577z3j7e1tZs6cabZu3WqmT59u7Ha7+eKLL4wxxpSUlJiLL77YXHbZZWb9+vVm7dq1pmvXrqZ3797GGGOOHj1q7r33XtO+fXuTmZlpMjMzzdGjRz0ax5rkVPuqu5/fDiuDEADAc6M+21/uvIsb+mjyJXWd0/+3fL/yi8uubVffW1Oj6zmnx6/I1qECU6ou6epGbvftl19+kTFGERERZc6PiIjQwYMHFRISok6dOmnRokV6+OGHJUkLFy5Ut27d1Lp1a0nS448/runTp+uGG26QJIWHh2vLli169dVXNWrUKOc6J06c6KyRThy1GDx4sDp27ChJuuCCC0r148knn1Tv3r0lSZMnT9bVV1+t48ePy8/PT88995xGjx6tO+64Q5I0adIkrV27Vs8995z69Omj5cuX6/vvv1d6erpCQ0MlSW+++abat2+v7777Tt26dVNAQIAcDocaN27s9tidzzhNAwA4a4w5EXZsNpuGDx+uhQsXOtsXL16s4cOHS5L279/vvAg2ICDA+XjiiSe0fft2l3VGRUW5TE+YMEFPPPGEevbsqalTp+r7778v1Y9OnTo5/79JkyaSpKysLElSWlqaevbs6VLfs2dPpaWlOeeHhoY6g4gktWvXTnXr1nXWwDMcGQGAGuaNAQ3Lnedlc52e09/92hl9gs+kW5KkVq1ayWazacuWLRo0aFCp+T/99JPq1aun4OBgDRs2TJMnT9bGjRt17Ngx7dy5UzfffLMkqaSkRJL02muvqXv37i7rsNvtLtO1a9d2mR47dqwGDBigjz/+WMuWLVN8fLymT5+uu+66y1nj7e3t/H+bzeayzT+2nWSMcbb98f/Lq4FnODICADWMn8NW7sPHbqv0Wk80aNBAV155pWbNmqVjx465zNu7d68WLlyooUOHymazqXnz5rr88su1cOFCLVy4UP3791dISIgkKSQkRM2aNdOOHTvUqlUrl0d4ePhp+xEaGqpx48bpvffe07333qvXXnvN7ecQERGhb775xqVt9erVzlNP7dq1U0ZGhnbu3Omcv2XLFuXm5jprfHx8VFxczvkxlMKREQBApZoxY4Z69OihAQMG6IknnlB4eLg2b96s+++/X82aNdOTTz7prB0+fLimTZumgoIC/etf/3JZz7Rp0zRhwgQFBgYqNjZW+fn5Wr9+vQ4ePKhJkyaVu/2JEycqNjZWrVu31sGDB/XFF1+Uew1LWe6//34NGTJEXbt2Vb9+/fThhx/qvffe0/LlyyVJ/fv3V6dOnTR8+HC98MILKioq0h133KHevXs7Txm1bNlS6enpSk1NVfPmzVWnTh35+vp6Moznl8q/rrby8W0aAOebU31DoSb49ddfzejRo03jxo2Nt7e3CQ0NNXfddZfJzs52qTt48KDx9fU1/v7+5tChQ6XWs3DhQtOlSxfj4+Nj6tWrZy6//HLz3nvvGWP+922alJQUl2XGjx9vLrzwQuPr62saNmxobrnlFud2T36b5uDBg876lJQUI8mkp6c722bNmmUuuOAC4+3tbVq3bm0WLFjgso3ffvvNXHfddaZ27dqmTp065qabbjJ79+51zj9+/LgZPHiwqVu3rpFk5s+fX4FRrBkq49s0NmNM6Uunq5m8vDwFBQUpNzdXgYGBVncHAKrc8ePHlZ6ervDwcPn5+VndHaBcp9pX3f385poRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAAFXEZrNpyZIllm3/yy+/lM1m0++//25ZH9xBGAEAVInVq1fLbrfrqquusrorbps2bZq6dOlSactlZmYqNjb2zDt2jiOMAACqxLx583TXXXfpm2++UUZGhtXdsUTjxo35tV43EEYAAJXuyJEjevvtt/X3v/9d11xzjRISElzmHzx4UMOHD1fDhg1Vq1YtXXTRRZo/f74kqW/fvho/frxLfU5Ojnx9ffXFF19Iklq2bKknnnhCI0eOVEBAgMLCwvSf//xH+/fv1/XXX6+AgAB17NhR69evd64jISFBdevW1ZIlS9S6dWv5+fnpyiuv1M6dO53zH330UW3atEk2m002m83Z74yMDOd6AwMDNWTIEO3bt++0y/35NM2uXbt08803q379+qpdu7aioqL07bffljmG0dHRmjx5skvb/v375e3trRUrVkiSEhMTFRUVpTp16qhx48YaNmyYsrKyyn1dyjqC88ILL6hly5YubfPnz1dERIT8/PzUtm1bzZo1q9x1VgbCCADUMEcK83WkMF9//NH1guIiHSnMV35xUZm1JabE2VZYUqwjhfk6XlToVm1FJCUlqU2bNmrTpo1GjBih+fPnu/T34Ycf1pYtW/TJJ58oLS1Ns2fPVnBwsCRp7NixWrRokfLz8531CxcuVNOmTdWnTx9n27/+9S/17NlTKSkpuvrqq3XLLbdo5MiRGjFihDZu3KhWrVpp5MiRLts9evSonnzySb3xxhtatWqV8vLydPPNN0uShg4dqnvvvVft27dXZmamMjMzNXToUBljNGjQIB04cEBfffWVkpOTtX37dg0dOvSUy/3Z4cOH1bt3b+3Zs0cffPCBNm3apAceeEAlJSWlaiVp+PDhWrx4sUv/k5KSFBISot69e0uSCgoK9Pjjj2vTpk1asmSJ0tPTNXr0aE9fLhevvfaa4uLi9OSTTyotLU1PPfWUHn74Yb3xxhtntN5TMjVAbm6ukWRyc3Ot7goAnBXHjh0zW7ZsMceOHSs1T/PuNZp3r8k6dsjZ9kRqstG8e83Yb952qfVfMNlo3r0mPS/H2favH78ymnevGfZloktt8MJHjObda348kOlsm/PTmgr1v0ePHuaFF14wxhhTWFhogoODTXJysnP+tddea2699dYylz1+/LipX7++SUpKcrZ16dLFTJs2zTkdFhZmRowY4ZzOzMw0kszDDz/sbFuzZo2RZDIzTzyf+fPnG0lm7dq1zpq0tDQjyXz77bfGGGOmTp1qOnfu7NKfZcuWGbvdbjIyMpxtmzdvNpLMunXryl3OGGMkmffff98YY8yrr75q6tSpY3JyckrVlSUrK8s4HA7z9ddfO9uio6PN/fffX+4y69atM5LMoUMn9o0VK1YYSebgwYPl9vNf//qXCQsLc06HhoaaRYsWudQ8/vjjJjo6usxtnmpfdffzmyMjAIBKtXXrVq1bt855xMHhcGjo0KGaN2+es+bvf/+73nrrLXXp0kUPPPCAVq9e7Zzn6+urESNGOOtTU1O1adOmUv/i79Spk/P/Q0JCJEkdO3Ys1fbH0xYOh0NRUVHO6bZt26pu3bpKS0sr9/mkpaUpNDRUoaGhzrZ27dqddrk/S01N1cUXX6z69eu7Vd+wYUNdeeWVWrhwoSQpPT1da9as0fDhw501KSkpuv766xUWFqY6deroiiuukKQKX6Ozf/9+7dy5U2PGjFFAQIDz8cQTT2j79u0VWqc7HFW2ZgBAlTg84klJkr/Dx9l2f4crNLFdLzm87C61WTdPkyTVcng72+6M6Km/te4uu83136O/3vRQqdrRF3XzuH9z585VUVGRmjVr5mwzxsjb21sHDx5UvXr1FBsbq99++00ff/yxli9frn79+unOO+/Uc889J+nEqZouXbpo165dmjdvnvr166ewsDCX7Xh7/6+fNput3LY/nwY52X66tj/2vaz55bWXp1atWm7XnjR8+HDdfffdevnll7Vo0SK1b99enTt3lnTiupyYmBjFxMQoMTFRDRs2VEZGhgYMGKCCgoIy1+fl5eVy2keSCgv/d7ru5Fi99tpr6t69u0ud3e66b1UmjowAQA1T29tXtb19XT4IfewO1fb2la/dUWat1x+Ch7eXXbW9feX3h9BxqlpPFBUVacGCBZo+fbpSU1Odj02bNiksLMz5r3zpxL/8R48ercTERL3wwguaM2eOc17Hjh0VFRWl1157TYsWLdJtt93mUT9O1b8/XtS6detW/f7772rbtq0kycfHR8XFrtfJtGvXThkZGc4LXSVpy5Ytys3NVURERLnL/VmnTp2UmpqqAwcOuN3fQYMG6fjx4/r000+1aNEijRgxwjnvp59+UnZ2tp5++mn16tVLbdu2PeXFq9KJMd+7d69LIElNTXX+f0hIiJo1a6YdO3aoVatWLo/w8HC3++0pwggAoNJ89NFHOnjwoMaMGaMOHTq4PG688UbNnTtXkvTII4/oP//5j7Zt26bNmzfro48+cn6wnzR27Fg9/fTTKi4u1l/+8pdK6Z+3t7fuuusuffvtt9q4caNuvfVWXXrppbrkkksknfiWTnp6ulJTU5Wdna38/Hz1799fnTp10vDhw7Vx40atW7dOI0eOVO/evZ2nfMpa7s/++te/qnHjxho0aJBWrVqlHTt26N1339WaNWvK7W/t2rV1/fXX6+GHH1ZaWpqGDRvmnNeiRQv5+Pjo5Zdf1o4dO/TBBx/o8ccfP+Xzv+KKK7R//34988wz2r59u2bOnKlPPvnEpWbatGmKj4/Xiy++qJ9//lk//PCD5s+fr+eff97tcfYUYQQAUGnmzp2r/v37KygoqNS8wYMHKzU1VRs3bpSPj4+mTJmiTp066fLLL5fdbtdbb73lUv/Xv/5VDodDw4YNk5+fX6X0z9/fXw8++KCGDRum6Oho1apVy2W7gwcP1lVXXaU+ffqoYcOGWrx4sfPrufXq1dPll1+u/v3764ILLlBSUtIpl/szHx8fLVu2TI0aNdLAgQPVsWNHPf3006c9/TF8+HBt2rRJvXr1UosWLZztDRs2VEJCgv7973+rXbt2evrpp52nucoTERGhWbNmaebMmercubPWrVun++67z6Vm7Nixev3115WQkKCOHTuqd+/eSkhIqNIjIzbz55NH1VBeXp6CgoKUm5urwMBAq7sDAFXu+PHjSk9PV3h4eKV9ENc0O3fuVMuWLfXdd9+pa9euZ7y+hIQETZw4sdrfGr2mOdW+6u7nNxewAgCqlcLCQmVmZmry5Mm69NJLKyWIoHrjNA0AoFpZtWqVwsLCtGHDBr3yyitWdwdnAUdGAADVyhVXXFHq66eVYfTo0Wd8d1JUDY6MAAAASxFGAACApQgjAFCNlfcjakB1URn7KNeMAEA15OPjIy8vL+3Zs0cNGzaUj4+PR7ceB6qaMUYFBQXav3+/vLy85OPjc/qFykEYAYBqyMvLS+Hh4crMzNSePXus7g5QLn9/f7Vo0UJeXhU/2UIYAYBqysfHRy1atFBRUdFpf/cEsILdbpfD4Tjjo3aEEQCoxmw2m7y9vV1+jRY413ABKwAAsBRhBAAAWKpCYWTWrFnOH8SJjIzUypUrT1m/cOFCde7cWf7+/mrSpIluvfVW5eTkVKjDAADg3OJxGElKStLEiRMVFxenlJQU9erVS7GxscrIyCiz/ptvvtHIkSM1ZswYbd68Wf/+97/13XffaezYsWfceQAAUPN5HEaef/55jRkzRmPHjlVERIReeOEFhYaGavbs2WXWr127Vi1bttSECRMUHh6uyy67TLfffrvWr19/xp0HAAA1n0dhpKCgQBs2bFBMTIxLe0xMjFavXl3mMj169NCuXbu0dOlSGWO0b98+vfPOO7r66qvL3U5+fr7y8vJcHgAA4NzkURjJzs5WcXGxQkJCXNpDQkK0d+/eMpfp0aOHFi5cqKFDh8rHx0eNGzdW3bp19fLLL5e7nfj4eAUFBTkfoaGhnnQTAADUIBW6gPXPNzcxxpR7w5MtW7ZowoQJeuSRR7RhwwZ9+umnSk9P17hx48pd/5QpU5Sbm+t87Ny5syLdBAAANYBHNz0LDg6W3W4vdRQkKyur1NGSk+Lj49WzZ0/df//9kqROnTqpdu3a6tWrl5544gk1adKk1DK+vr7y9fX1pGsAAKCG8ujIiI+PjyIjI5WcnOzSnpycrB49epS5zNGjR0vdr95ut0s6cUQFAACc3zw+TTNp0iS9/vrrmjdvntLS0nTPPfcoIyPDedplypQpGjlypLP+2muv1XvvvafZs2drx44dWrVqlSZMmKBLLrlETZs2rbxnAgAAaiSPf5tm6NChysnJ0WOPPabMzEx16NBBS5cuVVhYmCQpMzPT5Z4jo0eP1qFDhzRjxgzde++9qlu3rvr27at//vOflfcsAABAjWUzNeBcSV5enoKCgpSbm6vAwECruwMAANzg7uc3v00DAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiqQmFk1qxZCg8Pl5+fnyIjI7Vy5cpT1ufn5ysuLk5hYWHy9fXVhRdeqHnz5lWowwAA4Nzi8HSBpKQkTZw4UbNmzVLPnj316quvKjY2Vlu2bFGLFi3KXGbIkCHat2+f5s6dq1atWikrK0tFRUVn3HkAAFDz2YwxxpMFunfvrq5du2r27NnOtoiICA0aNEjx8fGl6j/99FPdfPPN2rFjh+rXr1+hTubl5SkoKEi5ubkKDAys0DoAAMDZ5e7nt0enaQoKCrRhwwbFxMS4tMfExGj16tVlLvPBBx8oKipKzzzzjJo1a6bWrVvrvvvu07Fjx8rdTn5+vvLy8lweAADg3OTRaZrs7GwVFxcrJCTEpT0kJER79+4tc5kdO3bom2++kZ+fn95//31lZ2frjjvu0IEDB8q9biQ+Pl6PPvqoJ10DAAA1VIUuYLXZbC7TxphSbSeVlJTIZrNp4cKFuuSSSzRw4EA9//zzSkhIKPfoyJQpU5Sbm+t87Ny5syLdBAAANYBHR0aCg4Nlt9tLHQXJysoqdbTkpCZNmqhZs2YKCgpytkVERMgYo127dumiiy4qtYyvr698fX096RoAAKihPDoy4uPjo8jISCUnJ7u0Jycnq0ePHmUu07NnT+3Zs0eHDx92tv3888/y8vJS8+bNK9BlAABwLvH4NM2kSZP0+uuva968eUpLS9M999yjjIwMjRs3TtKJUywjR4501g8bNkwNGjTQrbfeqi1btujrr7/W/fffr9tuu021atWqvGcCAABqJI/vMzJ06FDl5OToscceU2Zmpjp06KClS5cqLCxMkpSZmamMjAxnfUBAgJKTk3XXXXcpKipKDRo00JAhQ/TEE09U3rMAAAA1lsf3GbEC9xkBAKDmqZL7jAAAAFQ2wggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGAph9UdsNqRwnxJkr/DRzabTZJUUFykwpJiObzs8rU7StXWcnjLy3YixxWWFKuguEh2m5f8HN4Vqj1aVCBjjPzs3rJ7nagtKilWfnGRvGxeqlXB2mNFhSoxJfK1O+TwskuSiktKdLy40KNam80mf4ePs/Z4UaGKTYl87A55V6C2xJToWFGhJKm2t6+zNr+4SEUlxfL2ssvnv+PuSa0xRkeLCsp9PT2pdee1r4z9pKzXszL2k5Ov55nuJ39+Pc90Pynv9TzT/eSPr+eZ7iflvZ68R/Ae4elrX9PeI6xkfQ8sFpAYp4DEOGXnH3G2PfvjlwpIjNP4te+71DZ6a5oCEuOUcfh3Z9vMtFUKSIzTmFVvu9S2/PdTCkiMU9rvWc62hF++U0BinG7+KtGltt37zyogMU4bc3Y525LSNykgMU7XfT7Ppbbbhy8qIDFOK/ftcLZ9tDNNAYlx6v/Zqy61l38yUwGJcfps91Zn2xeZ2xSQGKfoj192qY1Nfk0BiXF6/7cfnW1r9/+mgMQ4dV7yvEvt4BVvKCAxTgu3b3S2/XAwUwGJcbro3addam9ZuVgBiXGas3Wts217Xo4CEuPU7O3HXWpvX/2OAhLj9OKWlc62zKOHFJAYp7oLH3apnbTuAwUkxump7z93tuUWHHe+nkWmxNket/ETBSTGKW7jJ862IlPirM0tOO5sf+r7zxWQGKdJ6z5w2V7dhQ8rIDFOmUcPOdte3LJSAYlxun31Oy61zd5+XAGJcdqel+Nsm7N1rQIS43TLysUutRe9+7QCEuP0w8FMZ9vC7RsVkBinwSvecKntvOR5BSTGae3+35xt7//2owIS4xSb/JpLbfTHLysgMU5fZG5ztn22e6sCEuN0+SczXWr7f/aqAhLj9NHONGfbyn07FJAYp24fvuhSe93n8xSQGKek9E3Oto05uxSQGKd27z/rUnvzV4kKSIxTwi/fOdvSfs9SQGKcWv77KZfaMaveVkBinGamrXK2ZRz+XQGJcWr01jSX2vFr31dAYpye/fFLZ1t2/hHn6/lHD67/WAGJcXo0NdnZdrSowFl78sNGkh5NTVZAYpweXP+xyzp4jziB94gTzuX3CCud92EEAABYy2aMMVZ34nTy8vIUFBSk3NxcBQYGVuq6OQR7+loOwZ4bh2A5TcNpGt4jeI/48+tZ1adp3P38Pu/DCAAAqBrufn5zmgYAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxVoTAya9YshYeHy8/PT5GRkVq5cqVby61atUoOh0NdunSpyGYBAMA5yOMwkpSUpIkTJyouLk4pKSnq1auXYmNjlZGRccrlcnNzNXLkSPXr16/CnQUAAOcemzHGeLJA9+7d1bVrV82ePdvZFhERoUGDBik+Pr7c5W6++WZddNFFstvtWrJkiVJTU93eZl5enoKCgpSbm6vAwEBPugsAACzi7ue3R0dGCgoKtGHDBsXExLi0x8TEaPXq1eUuN3/+fG3fvl1Tp051azv5+fnKy8tzeQAAgHOTR2EkOztbxcXFCgkJcWkPCQnR3r17y1zml19+0eTJk7Vw4UI5HA63thMfH6+goCDnIzQ01JNuAgCAGqRCF7DabDaXaWNMqTZJKi4u1rBhw/Too4+qdevWbq9/ypQpys3NdT527txZkW4CAIAawL1DFf8VHBwsu91e6ihIVlZWqaMlknTo0CGtX79eKSkpGj9+vCSppKRExhg5HA4tW7ZMffv2LbWcr6+vfH19PekaAACooTw6MuLj46PIyEglJye7tCcnJ6tHjx6l6gMDA/XDDz8oNTXV+Rg3bpzatGmj1NRUde/e/cx6DwAAajyPjoxI0qRJk3TLLbcoKipK0dHRmjNnjjIyMjRu3DhJJ06x7N69WwsWLJCXl5c6dOjgsnyjRo3k5+dXqh0AAJyfPA4jQ4cOVU5Ojh577DFlZmaqQ4cOWrp0qcLCwiRJmZmZp73nCAAAwEke32fECtxnBACAmqdK7jMCAABQ2QgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLVSiMzJo1S+Hh4fLz81NkZKRWrlxZbu17772nK6+8Ug0bNlRgYKCio6P12WefVbjDAADg3OJxGElKStLEiRMVFxenlJQU9erVS7GxscrIyCiz/uuvv9aVV16ppUuXasOGDerTp4+uvfZapaSknHHnAQBAzWczxhhPFujevbu6du2q2bNnO9siIiI0aNAgxcfHu7WO9u3ba+jQoXrkkUfcqs/Ly1NQUJByc3MVGBjoSXcBAIBF3P389ujISEFBgTZs2KCYmBiX9piYGK1evdqtdZSUlOjQoUOqX7++J5sGAADnKIcnxdnZ2SouLlZISIhLe0hIiPbu3evWOqZPn64jR45oyJAh5dbk5+crPz/fOZ2Xl+dJNwEAQA1SoQtYbTaby7QxplRbWRYvXqxp06YpKSlJjRo1KrcuPj5eQUFBzkdoaGhFugkAAGoAj8JIcHCw7HZ7qaMgWVlZpY6W/FlSUpLGjBmjt99+W/379z9l7ZQpU5Sbm+t87Ny505NuAgCAGsSjMOLj46PIyEglJye7tCcnJ6tHjx7lLrd48WKNHj1aixYt0tVXX33a7fj6+iowMNDlAQAAzk0eXTMiSZMmTdItt9yiqKgoRUdHa86cOcrIyNC4ceMknTiqsXv3bi1YsEDSiSAycuRIvfjii7r00kudR1Vq1aqloKCgSnwqAACgJvI4jAwdOlQ5OTl67LHHlJmZqQ4dOmjp0qUKCwuTJGVmZrrcc+TVV19VUVGR7rzzTt15553O9lGjRikhIeHMnwEAAKjRPL7PiBW4zwgAADVPldxnBAAAoLIRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAAS1UojMyaNUvh4eHy8/NTZGSkVq5cecr6r776SpGRkfLz89MFF1ygV155pUKdBQAA5x6Pw0hSUpImTpyouLg4paSkqFevXoqNjVVGRkaZ9enp6Ro4cKB69eqllJQUPfTQQ5owYYLefffdM+48AACo+WzGGOPJAt27d1fXrl01e/ZsZ1tERIQGDRqk+Pj4UvUPPvigPvjgA6WlpTnbxo0bp02bNmnNmjVubTMvL09BQUHKzc1VYGCgJ909reNF5T99L5vkY7dVeW1+sVF5r4LNJvlWsLag2KjkFK+un8P6Wl+7ZLOdqC8sNiqupFofu+T139qiEqOikupd6+0l2b08ry0uMSo8Ra3DS3JUoLbEGBUUV+9au03y/u/+boxRfiXVnq2/e94j3KvlPeKEs/EeURXc/fx2eLLSgoICbdiwQZMnT3Zpj4mJ0erVq8tcZs2aNYqJiXFpGzBggObOnavCwkJ5e3uXWiY/P1/5+fkuT6aqjPpsf7nzLm7oo8mX1HVO/9/y/eW+ibWr762p0fWc0+NXZOtQQdl/CRcEORR/WX3n9L1f5Wj/sbL3luYBdk3v3cA5/dA3B7TrcNmdaFjLSzP6Bjunp645qB25RWXW1vGx6fUrGzqn49f9ri0HCsus9bVLC65q5Jx+fkOuUvYXlFkrSUlX/692Rmqevt2bX27tGwMayu+/e+FrPx7SV7uOl1v7Wv9gBfqe+KNZkHZYy347Vm7ty30aqJG/XZL01tYj+nDH0XJrn7u8vkLrnOjE+9uO6J1fyq99smc9tap7Yp9dmn5UC386Um7tI5fWVfsGPpKkzzOOad7mw+XWPhgVpK4hvpKkb3Yf1+zvD5VbO7FroKKb+EmS1u3L1wsby//7+HunOroitJYkadP+Av1zfW65tbe1D9CAlv6SpLQDhXps7e/l1g5vW1vXXVhbkrQjt0hxqw6WW3vjRf66qXWAJGn34WLd9/WBcmuvvcBfIyJO1GYfK9FdK3LKrY0Jq6UxHepIkg4VGP1teXa5tb2b++mOzifeCPOLT/13372xryZFBjmneY84gfeIc/89wkoenabJzs5WcXGxQkJCXNpDQkK0d+/eMpfZu3dvmfVFRUXKzi77zSM+Pl5BQUHOR2hoqCfdBAAANYhHp2n27NmjZs2aafXq1YqOjna2P/nkk3rzzTf1008/lVqmdevWuvXWWzVlyhRn26pVq3TZZZcpMzNTjRs3LrVMWUdGQkNDOU3jYS2HYDkEy2kaz2s5TfM/vEdUn1pO0/xBcHCw7HZ7qaMgWVlZpY5+nNS4ceMy6x0Ohxo0aFDmMr6+vvL19fWkaxX2xz8Kq2r/+OZQmbU+NazW225T6ZN2Z17r8LLJ4eYxwJpWa/eyyV4FtV42m/PQeE2otVVRrcR7RHWq5T3C81pP/u6t5FEXfXx8FBkZqeTkZJf25ORk9ejRo8xloqOjS9UvW7ZMUVFRZV4vAgAAzi8e56VJkybp9ddf17x585SWlqZ77rlHGRkZGjdunCRpypQpGjlypLN+3Lhx+u233zRp0iSlpaVp3rx5mjt3ru67777KexYAAKDG8ug0jSQNHTpUOTk5euyxx5SZmakOHTpo6dKlCgsLkyRlZma63HMkPDxcS5cu1T333KOZM2eqadOmeumllzR48ODKexYAAKDG8vg+I1aoyvuMAACAquHu53cNuKwFAACcywgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClPL4dvBVO3iQ2Ly/P4p4AAAB3nfzcPt3N3mtEGDl06JAkKTQ01OKeAAAATx06dEhBQUHlzq8Rv01TUlKiPXv2qG/fvlq/fn2p+d26ddN33313yrbypvPy8hQaGqqdO3dWye/elNW3yljmdDXujIm7befyWJU3rzqPVUXGyd3lztZY/fH/GSv33quk6jdW7i7DWJ2/YxUVFaUvvvhCTZs2lZdX+VeG1IgjI15eXmrevLkcDkeZA2W320u1/7ntdNOBgYFV8gFbVt8qY5nT1bgzJu62nctjVd686jxWFRknd5c7W2NV1nzGyr1pqfqMlbvLMFbn71g5HA41b978tHU16gLWO++80+32P7edbrqqVGQ77ixzuhp3xsTdtnN5rM5knyqr7WyMVUW3UZ3GqjrvU+4uV1Vjda79/Z2ujrFyv+5cHqsacZqmKrn788ZgrDzBWLmPsXIfY+U+xsp91WGsatSRkarg6+urqVOnytfX1+quVHuMlfsYK/cxVu5jrNzHWLmvOozVeX9kBAAAWOu8PzICAACsRRgBAACWIowAAABLEUYAAIClCCNuOnTokLp166YuXbqoY8eOeu2116zuUrW1c+dOXXHFFWrXrp06deqkf//731Z3qVr7y1/+onr16unGG2+0uivVzkcffaQ2bdrooosu0uuvv251d6o19iP38P7kvrP5uce3adxUXFys/Px8+fv76+jRo+rQoYO+++47NWjQwOquVTuZmZnat2+funTpoqysLHXt2lVbt25V7dq1re5atbRixQodPnxYb7zxht555x2ru1NtFBUVqV27dlqxYoUCAwPVtWtXffvtt6pfv77VXauW2I/cw/uT+87m5x5HRtxkt9vl7+8vSTp+/LiKi4tP+yuE56smTZqoS5cukqRGjRqpfv36OnDggLWdqsb69OmjOnXqWN2NamfdunVq3769mjVrpjp16mjgwIH67LPPrO5WtcV+5B7en9x3Nj/3zpkw8vXXX+vaa69V06ZNZbPZtGTJklI1s2bNUnh4uPz8/BQZGamVK1d6tI3ff/9dnTt3VvPmzfXAAw8oODi4knp/dp2NsTpp/fr1KikpqbG/uHw2x+pcc6Zjt2fPHjVr1sw53bx5c+3evftsdP2sYz9zX2WOVU1/fzqdyhirs/W5d86EkSNHjqhz586aMWNGmfOTkpI0ceJExcXFKSUlRb169VJsbKwyMjKcNZGRkerQoUOpx549eyRJdevW1aZNm5Senq5FixZp3759Z+W5VbazMVaSlJOTo5EjR2rOnDlV/pyqytkaq3PRmY5dWf8Cs9lsVdpnq1TGfna+qKyxOhfen06nMsbqrH3umXOQJPP++++7tF1yySVm3LhxLm1t27Y1kydPrtA2xo0bZ95+++2KdrHaqKqxOn78uOnVq5dZsGBBZXSzWqjK/WrFihVm8ODBZ9rFaqsiY7dq1SozaNAg57wJEyaYhQsXVnlfrXYm+9m5vh/9WUXH6lx8fzqdynj/qsrPvXPmyMipFBQUaMOGDYqJiXFpj4mJ0erVq91ax759+5SXlyfpxI8Kff3112rTpk2l99VqlTFWxhiNHj1affv21S233FIV3awWKmOszlfujN0ll1yiH3/8Ubt379ahQ4e0dOlSDRgwwIruWor9zH3ujNX58v50Ou6M1dn83HNUyVqrmezsbBUXFyskJMSlPSQkRHv37nVrHbt27dKYMWNkjJExRuPHj1enTp2qoruWqoyxWrVqlZKSktSpUyfnOco333xTHTt2rOzuWqoyxkqSBgwYoI0bN+rIkSNq3ry53n//fXXr1q2yu1utuDN2DodD06dPV58+fVRSUqIHHnjgvPz2mrv72fm4H/2ZO2N1vrw/nY47Y3U2P/fOizBy0p/PNxtj3D4HHRkZqdTU1CroVfV0JmN12WWXqaSkpCq6VS2dyVhJOq+/IXK6sbvuuut03XXXne1uVUunG6vzeT/6s1ON1fn2/nQ6pxqrs/m5d16cpgkODpbdbi/1r9WsrKxSqfB8x1i5j7GqOMbOfYyV+xgr91W3sTovwoiPj48iIyOVnJzs0p6cnKwePXpY1KvqibFyH2NVcYyd+xgr9zFW7qtuY3XOnKY5fPiwtm3b5pxOT09Xamqq6tevrxYtWmjSpEm65ZZbFBUVpejoaM2ZM0cZGRkaN26chb22BmPlPsaq4hg79zFW7mOs3FejxqpKvqNjgRUrVhhJpR6jRo1y1sycOdOEhYUZHx8f07VrV/PVV19Z12ELMVbuY6wqjrFzH2PlPsbKfTVprPhtGgAAYKnz4poRAABQfRFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALDU/wPl4CvR5lHIMwAAAABJRU5ErkJggg==",
      "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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",
      "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"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Order 16 Maximum CFL 1024.0\n"
     ]
    }
   ],
   "source": [
    "dts=2.0 .^ (-10.0:0.1:10.0)\n",
    "ep=1e-300\n",
    "u0=[1-ep, ep]\n",
    "open(string(folder,\"CFLDeCeqFixedEps.tex\"), \"w\") do io\n",
    "    write(io,\"Order & Maximum \\$\\\\Delta t\\$ \\\\\\\\ \\\\hline \\n\")\n",
    "\n",
    "    for order=1:16\n",
    "        k=0\n",
    "        overshoots=zeros(size(dts))\n",
    "        us=zeros(size(dts))\n",
    "        for dt in dts\n",
    "            k+=1\n",
    "            tt=0:dt:dt\n",
    "            tout,uu=dec_correction(prod_dest, rhs_function, tt,u0, max(order-1,1),order,\"equispaced\")\n",
    "            overshoots[k]=overshootMeasure(uu[1,1],uu[1,2],uInf[1])\n",
    "            us[k]=uu[1,2]\n",
    "        end\n",
    "        plt.figure()\n",
    "        plt.semilogx(dts,us,label=L\"u_1\")\n",
    "        plt.semilogx(dts,overshoots, label=\"Overshoot\")\n",
    "        plt.semilogx(dts,uInf[1].*ones(size(dts)),\":\",label=\"Asymptotic value\")\n",
    "        plt.legend(loc=\"best\")\n",
    "        plt.title(\"mPDeC order $((order))\")\n",
    "        plt.show()\n",
    "\n",
    "        println(\"Order $(order) Maximum CFL $(maximum([dts[overshoots.==0]; 0]))\")\n",
    "        write(io, \"   $(order) & $(maximum([dts[overshoots.==0]; 0])) \\\\\\\\ \\n\")\n",
    "    end\n",
    "\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We let vary also the initial condition through $\\varepsilon$ and we look for the worst oscillation varying $\\Delta t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For order 2 the maximum 0.2495729178225803 does not coincide with smallest eps 0.24957291782256985\n",
      "For order 12 the maximum 0.4997736120621129 does not coincide with smallest eps 0.0\n"
     ]
    },
    {
     "ename": "LoadError",
     "evalue": "InterruptException:",
     "output_type": "error",
     "traceback": [
      "InterruptException:",
      "",
      "Stacktrace:",
      " [1] compute_theta_DeC(::Int64, ::String) at /home/accdavlo/Projects/UZH/Stability/notebooks/mPDeC.jl:57",
      " [2] dec_correction(::typeof(prod_dest), ::typeof(rhs_function), ::StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}, ::Array{Float64,2}, ::Int64, ::Int64, ::String) at /home/accdavlo/Projects/UZH/Stability/notebooks/mPDeC.jl:87",
      " [3] top-level scope at ./In[9]:14",
      " [4] include_string(::Function, ::Module, ::String, ::String) at ./loading.jl:1091"
     ]
    }
   ],
   "source": [
    "dts=2.0 .^ (-6.0:0.05:10.0)\n",
    "epsilons =  10.0 .^ (-16:0.1:-0.3)\n",
    "neps=length(epsilons)\n",
    "ndts=length(dts)\n",
    "overshoots=zeros(ndts, neps)\n",
    "\n",
    "for order=1:15\n",
    "    k=0\n",
    "    for dt in dts\n",
    "        k+=1\n",
    "        tt=0:dt:dt\n",
    "        for l=1:neps\n",
    "            u0=[1-epsilons[l] epsilons[l]]\n",
    "            tout,uu=dec_correction(prod_dest, rhs_function, tt,u0, order,order+1,\"equispaced\")\n",
    "            overshoots[k,l]=overshootMeasure(uu[1,1],uu[1,2],uInf[1])\n",
    "    #        println(\"dts = $(dt), eps= $(epsilons[l]), u0 u1 uInf = $(uu[:,1]), $(uu[:,2]) $(uInf) over= $(overshoots[k,l])\")\n",
    "        end\n",
    "    end\n",
    "\n",
    "    overshEps=zeros(neps)\n",
    "    for l=1:neps\n",
    "        overshEps[l]=maximum(overshoots[:,l])\n",
    "    end\n",
    "    if maximum(overshEps)!=overshEps[1]\n",
    "        println(\"For order $(order+1) the maximum $(maximum(overshEps)) does not coincide with smallest eps $(overshEps[1])\")\n",
    "    end\n",
    "    plt.figure()\n",
    "    plt.semilogx(epsilons, overshEps)\n",
    "    plt.xlabel(L\"\\epsilon\")\n",
    "    plt.ylabel(\"Oscillation measure\")\n",
    "    plt.title(\"order=$((order+1))\")\n",
    "    plt.show()\n",
    "end\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Still varying $\\varepsilon \\in [10^{-300}, 0.5)$, we search for the maximum $\\Delta t$ such that the first iteration does not show oscillations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Order 2 Maximum CFL 1.2745606273192622\n",
      "Order 3 Maximum CFL 0.6597539553864471\n",
      "Order 4 Maximum CFL 0.5946035575013605\n",
      "Order 5 Maximum CFL 0.5358867312681466\n",
      "Order 6 Maximum CFL 0.5358867312681466\n",
      "Order 7 Maximum CFL 0.5176324619206888\n",
      "Order 8 Maximum CFL 0.6830201283771977\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 0.5358867312681466\n",
      "Order 13 Maximum CFL 1024.0\n",
      "Order 14 Maximum CFL 0.6155722066724582\n",
      "Order 15 Maximum CFL 1024.0\n",
      "Order 16 Maximum CFL 1.0352649238413776\n",
      "Order 17 Maximum CFL 1024.0\n"
     ]
    }
   ],
   "source": [
    "dts=2.0 .^ (-4.0:0.05:10.0)\n",
    "epsilons = [1e-300; 10.0 .^ (-9:0.3:-0.3); 0.4999999999]\n",
    "neps=length(epsilons)\n",
    "\n",
    "open(string(folder,\"CFLDeCeqAllEps.tex\"), \"w\") do io\n",
    "    write(io,\"Order & Maximum \\$\\\\Delta t\\$ \\\\\\\\ \\\\hline \\n\")\n",
    "    for order=1:16\n",
    "        k=0\n",
    "        overshoots=zeros(size(dts))\n",
    "        us=zeros(size(dts))\n",
    "        for dt in dts\n",
    "            k+=1\n",
    "            tt=0:dt:dt\n",
    "            overEps=zeros(size(epsilons))\n",
    "            r=0\n",
    "            for ep=epsilons\n",
    "                r+=1\n",
    "                u0=[1-ep ep]\n",
    "                tout,uu=dec_correction(prod_dest, rhs_function, tt,u0, order,order+1,\"equispaced\")\n",
    "                overEps[r]=overshootMeasure(uu[1,1],uu[1,2],uInf[1])\n",
    "            end\n",
    "            overshoots[k]=maximum(overEps)\n",
    "            us[k]=uu[1,2]\n",
    "        end\n",
    "    #    plt.figure()\n",
    "    #    plt.semilogx(dts,us)\n",
    "    #    plt.semilogx(dts,overshoots)\n",
    "    #    plt.semilogx(dts,uInf[1].*ones(size(dts)),\":\")\n",
    "    #    plt.title(\"mPDeC order $(order+1)\")\n",
    "    #    plt.show()\n",
    "\n",
    "        println(\"Order $((order+1)) Maximum CFL $(maximum(dts[overshoots.==0]))\")\n",
    "        write(io, \"   $(order+1) & $(maximum([dts[overshoots.==0]; 0])) \\\\\\\\ \\n\")\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## mPDeC GaussLobatto"
   ]
  },
  {
   "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": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Order 2 Maximum CFL 1.2745606273192622\n",
      "Order 3 Maximum CFL 0.6597539553864471\n",
      "Order 4 Maximum CFL 0.5547847360339225\n",
      "Order 5 Maximum CFL 0.5358867312681466\n",
      "Order 6 Maximum CFL 0.5176324619206888\n",
      "Order 7 Maximum CFL 0.5\n",
      "Order 8 Maximum CFL 0.5\n",
      "Order 9 Maximum CFL 0.5\n",
      "Order 10 Maximum CFL 0.5\n",
      "Order 11 Maximum CFL 0.5\n",
      "Order 12 Maximum CFL 0.5\n",
      "Order 13 Maximum CFL 0.5\n",
      "Order 14 Maximum CFL 0.5\n",
      "Order 15 Maximum CFL 0.5\n",
      "Order 16 Maximum CFL 0.5\n"
     ]
    }
   ],
   "source": [
    "dts=2.0 .^ (-3.0:0.05:5.0)\n",
    "ep=1e-300\n",
    "u0=[1-ep, ep]\n",
    "\n",
    "open(string(folder,\"CFLDeCglbFixedEps.tex\"), \"w\") do io\n",
    "    write(io,\"Order & Maximum \\$\\\\Delta t\\$ \\\\\\\\ \\\\hline \\n\")\n",
    "\n",
    "    for order=1:15\n",
    "        k=0\n",
    "        overshoots=zeros(size(dts))\n",
    "        us=zeros(size(dts))\n",
    "        for dt in dts\n",
    "            k+=1\n",
    "            tt=0:dt:dt\n",
    "            tout,uu=dec_correction(prod_dest, rhs_function, tt,u0, order,order+1,\"gaussLobatto\")\n",
    "            overshoots[k]=overshootMeasure(uu[1,1],uu[1,2],uInf[1])\n",
    "            us[k]=uu[1,2]\n",
    "        end\n",
    "    #    plt.figure()\n",
    "    #    plt.semilogx(dts,us,label=L\"u_1\")\n",
    "    #    plt.semilogx(dts,overshoots, label=\"Overshoot\")\n",
    "    #    plt.semilogx(dts,uInf[1].*ones(size(dts)),\":\",label=\"Asymptotic value\")\n",
    "    #    plt.title(\"mPDeC order $(order+1)\")\n",
    "    #    plt.show()\n",
    "\n",
    "        println(\"Order $(order+1) Maximum CFL $(maximum(dts[overshoots.==0]))\")\n",
    "        write(io, \"   $(order+1) & $(maximum([dts[overshoots.==0]; 0])) \\\\\\\\ \\n\")\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We let vary also the initial condition through $\\varepsilon$ and we look for the worst oscillation varying $\\Delta t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dna09e/a0ePzKlSt15ZVXasWKFSoqKlJaWpomTpyonTt3eo555JFH9MQTTyg/P1+ffPKJunXrpuzsbFVXV3dVswAACEqNvUO1JfYZKjNM0zStLCAzM1Njx47VokWLJElut1tpaWm6+eabdffdd7d7vsvlUmJiohYtWqRp06bJNE2lpqbq9ttv1x133CFJKi8vV3JyspYuXaqpU6c2u0ZNTY1qamo831dUVCgtLU3l5eWKj4/3UUsBAAh8R7YuU9mqqQpLHKWeF62zuhyvVFRUKCEhwevf35b2DNXW1mrt2rXKysrybHM4HMrKylJRUcdu66uqqlJdXZ169OghSdq6datKSkqaXDMhIUGZmZmtXjMvL08JCQmeV1pa2jG0CgCA4BWRcrYkqf7gl3JX77O4mq5haRjat2+fXC6XkpOTm2xPTk5WSUlJh65x1113KTU11RN+Gs/z5pq5ubkqLy/3vIqLi71tCgAAIcEZ3UthiSMkSTUlK60tpouEWV3AsXjooYf08ssva+XKlYqKiur0dSIjIxUZGenDygAACF4RKWer/uB61ZasUnT6ZVaX43eW9gwlJSXJ6XSqtLS0yfbS0lKlpKS0ee6CBQv00EMP6d1339XIkSM92xvP68w1AQCAFNHzVEkNt9jbgaVhKCIiQmPGjFFh4dEnXbrdbhUWFmr8+PGtnvfII4/ogQceUEFBgTIyMprs69+/v1JSUppcs6KiQp988kmb1wQAAA3Ck8ZKkuoOrJPprrO4Gv+zfJgsJydH06dPV0ZGhsaNG6eFCxeqsrJSM2bMkCRNmzZNffr0UV5eniTp4Ycf1ty5c/XSSy8pPT3dMw8oNjZWsbGxMgxDt956q373u99p0KBB6t+/v+69916lpqZq8uTJlrUTAIBg4Yw7QUZEd5m1Zao/uEHhx51sdUl+ZXkYmjJlivbu3au5c+eqpKREo0ePVkFBgWcC9I4dO+RwHO3Aeuqpp1RbW6vLLms6hjlv3jzdd999kqQ5c+aosrJS119/vcrKynT66aeroKDgmOYVAQBgF4ZhKPy4DNXufk91+z4N+TBk+XOGAlFnn1MAAECoqFj7G1Wuz1P04Jnqftr/WF1OhwTlc4YAAEBgCk9qmJNrh0nUhCEAANBMxI+TqOsPrpdZf8TiavyLMAQAAJpxxPSVIypZMl2qO/Cl1eX4FWEIAAA0YxjG0aGy/aE9VEYYAgAALfI8byjE5w0RhgAAQIuOhqHPLK7EvwhDAACgReHHNQyT1ZdvlrvukMXV+A9hCAAAtMgZ3UvObv0kmarbt9bqcvyGMAQAAFrlmUR94HOLK/EfwhAAAGhVWPfhkqT6sk0WV+I/hCEAANCqsO4nSZLqyzdaXIn/EIYAAECrPGGobKNCdTlTwhAAAGhVWPxgyXDIrC2T+0iJ1eX4BWEIAAC0ynBGyhk3UFJD71AoIgwBAIA2hfq8IcIQAABoU1jCUEn0DAEAAJv66STqUEQYAgAAbQonDAEAADsLSzhRkiF3zT65qvdaXY7PEYYAAECbjLAYOWPTJYXmk6gJQwAAoF2hPG+IMAQAANoVyrfXE4YAAEC7Qvn2esIQAABoF8NkAADA1hp7htxHdstdc9DianyLMAQAANrliIiXI6avJKm+PLTuKCMMAQCADglLGCxJqq/41uJKfIswBAAAOsQZO0CS5Dr0vcWV+BZhCAAAdEhYXH9JkuvwVosr8S3CEAAA6BBnLGEIAADYmDOuYZisnmEyAABgR409Q+6qXTJdNRZX4zuEIQAA0CGOqJ4ywmIkmXId3m51OT5DGAIAAB1iGIbnjrJQGiojDAEAgA5zhuAdZYQhAADQYaF4RxlhCAAAdFhYXOg9eJEwBAAAOqyxZ6ieniEAAGBHnjlDhwhDAADAhhp7hszag3LXlFlcjW8QhgAAQIc5wmPliOopKXQmUROGAACAVzzPGrJzGPrzn/+s//iP/1Bqaqq2b294AuXChQv15ptv+rQ4AAAQeI7OGwqNO8q8DkNPPfWUcnJydMEFF6isrEwul0uS1L17dy1cuNDnBQIAgMASas8a8joMPfnkk1qyZIl++9vfyul0erZnZGRo/fr1Pi0OAAAEnqPPGrJpGNq6datOPvnkZtsjIyNVWVnpk6IAAEDg8jxryK7DZP3799e6deuabS8oKNDQoUN9UhQAAAhcR9cn2ybTdFtczbEL8/aEnJwc3XjjjaqurpZpmlqzZo3+8pe/KC8vT88884w/agQAAAHE2S1NMpySu0buqt1ydutjdUnHxOswdN111yk6Olr33HOPqqqq9Ktf/Uqpqal6/PHHNXXqVH/UCAAAAojhCJcjJlXuymK5KovtFYZM01RxcbEuvfRSXXXVVaqqqtLhw4fVq1cvf9UHAAACkDOmT0MYOrLL6lKOmVdzhkzT1MCBA1VcXCxJiomJIQgBAGBDzpiG3iB31U6LKzl2XoUhh8OhQYMGaf/+/f6qBwAABAFHTKokyVVls54hSXrooYd05513asOGDf6oBwAABIFQ6hnyegL1tGnTVFVVpVGjRikiIkLR0dFN9h84cMBnxQEAgMAUSj1DXochltwAAACNPUMuO/YMTZ8+3R91AACAIHJ0mMyGPUM7duxoc3+/fv06XQwAAAgOjcNkZl2F3HWH5QiPtbiizvM6DKWnp8swjFb3N65iDwAAQpcjPE5GeJzMukNyV+2UI2GI1SV1mtdh6IsvvmjyfV1dnb744gs9+uijevDBB31WGAAACGyO6FS56rbIVbVLYXYKQ6NGjWq2LSMjQ6mpqfrDH/6gSy65xCeFAQCAwObs1keuii1BP4na6+cMtWbIkCH69NNPvT5v8eLFSk9PV1RUlDIzM7VmzZpWj/3666916aWXeobqWrqz7b777pNhGE1eJ554otd1AQCAtjmjG+YNBfskaq/DUEVFRZNXeXm5Nm/erHvuuUeDBg3y6lrLli1TTk6O5s2bp88//1yjRo1Sdna29uzZ0+LxVVVVGjBggB566CGlpKS0et1hw4Zp9+7dnteHH37oVV0AAKB9jhC5vd7rYbLu3bs3m0BtmqbS0tL08ssve3WtRx99VDNnztSMGTMkSfn5+Xrrrbf07LPP6u677252/NixYzV27FhJanF/o7CwsDbDEgAAOHbOmNDoGfI6DK1YsaLJ9w6HQz179tTAgQMVFtbxy9XW1mrt2rXKzc1tcq2srCwVFRV5W1YT33zzjVJTUxUVFaXx48crLy+vzVv+a2pqVFNT4/m+oqLimN4fAAA7sG3P0IQJE3zyxvv27ZPL5VJycnKT7cnJydq8eXOnr5uZmamlS5dqyJAh2r17t+bPn68zzjhDGzZsUFxcXIvn5OXlaf78+Z1+TwAA7ChUHrzo9Zyh559/Xm+99Zbn+zlz5qh79+467bTTtH37dp8W1xnnn3++Lr/8co0cOVLZ2dl6++23VVZWpldeeaXVc3Jzc1VeXu55FRcXd2HFAAAEp8ZhMteRXTJNt8XVdJ7XYej3v/+9Z3HWoqIiLVq0SI888oiSkpJ02223dfg6SUlJcjqdKi0tbbK9tLTUp/N9unfvrsGDB+vbb79t9ZjIyEjFx8c3eQEAgLY5Yno3fOGuk7t6n7XFHAOvw1BxcbEGDhwoSVq+fLkuu+wyXX/99crLy9MHH3zQ4etERERozJgxKiws9Gxzu90qLCzU+PHjvS2rVYcPH9Z3332n3r17++yaAABAMhzhckT1khTcQ2Veh6HY2Fjt379fkvTuu+/q3HPPlSRFRUXpyJEjXl0rJydHS5Ys0fPPP69NmzbphhtuUGVlpefusmnTpjWZYF1bW6t169Zp3bp1qq2t1c6dO7Vu3bomvT533HGHVq1apW3btmn16tW6+OKL5XQ6deWVV3rbVAAA0I5QmETt9QTqc889V9ddd51OPvlk/fvf/9YFF1wgqeGBiOnp6V5da8qUKdq7d6/mzp2rkpISjR49WgUFBZ5J1Tt27JDDcTSv7dq1SyeffLLn+wULFmjBggWaMGGCVq5cKUn64YcfdOWVV2r//v3q2bOnTj/9dH388cfq2bOnt00FAADtcMakqv7AF3IfCd6eIa/D0OLFi3XPPfeouLhYr732mo477jhJ0tq1azvV+3LTTTfppptuanFfY8BplJ6eLtM027yet886AgAAndd4R5mr0kY9Q927d9eiRYuabefWdAAA7MczTGannqFGVVVV2rFjh2pra5tsHzly5DEXBQAAgsPRp1DbqGdo7969+vWvf62CgoIW97tcrmMuCgAABIejE6iDt2fI67vJbr31VpWXl+uTTz5RdHS0CgoK9Pzzz2vQoEH629/+5o8aAQBAgLJlz9C//vUvvfnmm8rIyJDD4dDxxx+vc889V/Hx8crLy9OFF17ojzoBAEAA8izJUb1XpqtWhjPC4oq853XPUGVlpXr1anjAUmJiovbu3StJGjFihD7//HPfVgcAAAKaEdlDMpySGgJRMPI6DA0ZMkRbtmyRJI0aNUpPP/20du7cqfz8fJ7yDACAzRiGQ47IJEnBG4a8Hia75ZZbtHv3bknSvHnzdN555+nFF19URESEli5d6uv6AABAgHNE9ZS7ulTuGpuEoauvvtrz9ZgxY7R9+3Zt3rxZ/fr1U1JSkk+LAwAAgc8R1bDKQ7D2DHk9TNaotrZWW7ZsUUREhE455RSCEAAANmW7MFRVVaVrr71WMTExGjZsmHbs2CFJuvnmm/XQQw/5vEAAABDYbBeGcnNz9eWXX2rlypWKiorybM/KytKyZct8WhwAAAh8wR6GvJ4ztHz5ci1btkynnnqqDMPwbB82bJi+++47nxYHAAACnyOq4ZE7ruo9FlfSOV73DO3du9fznKGfqqysbBKOAACAPQR7z5DXYSgjI0NvvfWW5/vGAPTMM89o/PjxvqsMAAAEhWAPQ14Pk/3+97/X+eefr40bN6q+vl6PP/64Nm7cqNWrV2vVqlX+qBEAAASwYA9DXvcMnX766Vq3bp3q6+s1YsQIvfvuu+rVq5eKioo0ZswYf9QIAAACWGMYMmsPynTXWVyN97zuGZKkE044QUuWLPF1LQAAIAg5InpIMiSZclfvlzMmxeqSvNKpMCRJe/bs0Z49e+R2u5tsHzly5DEXBQAAgofhcMoReZzcNfvkrt4T+mFo7dq1mj59ujZt2iTTNJvsMwxDLpfLZ8UBAIDg4Iju9WMYCr55Q16HoWuuuUaDBw/W//7v/yo5OZnb6QEAgByRwTuJ2usw9P333+u1117TwIED/VEPAAAIQp47yoJw5Xqv7yY755xz9OWXX/qjFgAAEKSC+fZ6r3uGnnnmGU2fPl0bNmzQ8OHDFR4e3mT/pEmTfFYcAAAIDrYKQ0VFRfroo4/0zjvvNNvHBGoAAOwpmMOQ18NkN998s66++mrt3r1bbre7yYsgBACAPTUu1uoOwsVavQ5D+/fv12233abk5GR/1AMAAIJQY8+Qyw49Q5dccolWrFjhj1oAAECQCuZhMq/nDA0ePFi5ubn68MMPNWLEiGYTqGfPnu2z4gAAQHDwrE9Wc0Cm2yXD4bS4oo4zzJ8/Rrod/fv3b/1ihqHvv//+mIuyWkVFhRISElReXq74+HirywEAIOCZ7nqV/Kmhg6TXlFI5o3t1eQ2d/f3tdc/Q1q1bvT0FAACEOMMRJiOyh8yaA3JX77UkDHWW13OGAAAAWnJ0SY7guqOMMAQAAHyisTco2CZRE4YAAIBPBOsdZYQhAADgE8G6cj1hCAAA+ESwrlzv9d1kklRWVqY1a9Zoz549crvdTfZNmzbNJ4UBAIDgEqzDZF6Hof/7v//TVVddpcOHDys+Pl6GYXj2GYZBGAIAwKaCNQx5PUx2++2365prrtHhw4dVVlamgwcPel4HDhzwR40AACAIHA1DIX5r/c6dOzV79mzFxMT4ox4AABCkjoahfRZX4h2vw1B2drY+++wzf9QCAACCmCOyhyTJXXtQXq72ZSmv5wxdeOGFuvPOO7Vx48YWF2qdNGmSz4oDAADBw4hIbPjCXSezvkpGeDdrC+ogrxdqdTha70wyDEMul+uYi7IaC7UCAOA90zQbFms1Xep1ebGc3fp26ft39ve318Nkbre71VeV6XT4AAAcp0lEQVQoBCEAANA5hmHI8WPvkLv2oMXVdBwPXQQAAD5jRDaEIbO2zOJKOq5TYWjVqlX65S9/qYEDB2rgwIGaNGmSPvjgA1/XBgAAgoynZ6gmhHuGXnjhBWVlZSkmJkazZ8/W7NmzFR0drXPOOUcvvfSSP2oEAABBIhiHyby+m+zBBx/UI488ottuu82zbfbs2Xr00Uf1wAMP6Fe/+pVPCwQAAMHDM0wWyj1D33//vX75y1822z5p0iRt3brVJ0UBAIDg5IjoLim4eoa8DkNpaWkqLCxstv29995TWlqaT4oCAADBybDDMNntt9+u2bNna926dTrttNMkSR999JGWLl2qxx9/3OcFAgCA4OEIwrvJvA5DN9xwg1JSUvTHP/5Rr7zyiiRp6NChWrZsmS666CKfFwgAAIJHMN5N5nUYkqSLL75YF198sa9rAQAAQS4Yh8l46CIAAPCZo8NkwROGOtQz1KNHD/373/9WUlKSEhMTZRhGq8ceOHDAZ8UBAIDgErLDZI899pji4uI8X7cVhgAAgH0ZQXhrfYfC0PTp0z1f//rXv/ZXLQAAIMg19gzJVS2zvlpGWJS1BXWA13OGnE6n9uzZ02z7/v375XQ6fVIUAAAITkZEvKSGESR3kNxe73UYMk2zxe01NTWKiIg45oIAAEDwMgxH0A2VdfjW+ieeeEKSZBiGnnnmGcXGxnr2uVwuvf/++zrxxBN9XyEAAAgqjshEuWoPBs0dZR3uGXrsscf02GOPyTRN5efne75/7LHHlJ+fr6qqKuXn53tdwOLFi5Wenq6oqChlZmZqzZo1rR779ddf69JLL1V6eroMw9DChQuP+ZoAAMC3gu2Osg73DDUuwnr22Wfr9ddfV2Ji4jG/+bJly5STk6P8/HxlZmZq4cKFys7O1pYtW9SrV69mx1dVVWnAgAG6/PLLddttt/nkmgAAwLeCbZjM6zlDK1as8EkQkqRHH31UM2fO1IwZM3TSSScpPz9fMTExevbZZ1s8fuzYsfrDH/6gqVOnKjIy0ifXBAAAvtXYMxQs65N1ajmOH374QX/729+0Y8cO1dbWNtn36KOPdugatbW1Wrt2rXJzcz3bHA6HsrKyVFRU1JmyOn3Nmpoa1dTUeL6vqKjo1PsDAADJiAyuJTm8DkOFhYWaNGmSBgwYoM2bN2v48OHatm2bTNPUKaec0uHr7Nu3Ty6XS8nJyU22Jycna/Pmzd6WdUzXzMvL0/z58zv1ngAAoClPz1CQzBnyepgsNzdXd9xxh9avX6+oqCi99tprKi4u1oQJE3T55Zf7o0a/y83NVXl5uedVXFxsdUkAAAQtR5At1up1GNq0aZOmTZsmSQoLC9ORI0cUGxur+++/Xw8//HCHr5OUlCSn06nS0tIm20tLS5WSkuJtWcd0zcjISMXHxzd5AQCAzvEMk4Vqz1C3bt0884R69+6t7777zrNv3759Hb5ORESExowZo8LCQs82t9utwsJCjR8/3tuy/HZNAADgHcePd5MFy3OGvJ4zdOqpp+rDDz/U0KFDdcEFF+j222/X+vXr9frrr+vUU0/16lo5OTmaPn26MjIyNG7cOC1cuFCVlZWaMWOGJGnatGnq06eP8vLyJDVMkN64caPn6507d2rdunWKjY3VwIEDO3RNAADgX0eHyUL0brJHH31Uhw8fliTNnz9fhw8f1rJlyzRo0KAO30nWaMqUKdq7d6/mzp2rkpISjR49WgUFBZ4J0Dt27JDDcbTzateuXTr55JM93y9YsEALFizQhAkTtHLlyg5dEwAA+Few3U1mmK0tNmZjFRUVSkhIUHl5OfOHAADwUn3Ft9r7+iAZYbFKufpQl71vZ39/ez1nCAAAoC2eW+vrD8t011lcTfs6NEyWmJgowzA6dMEDBw4cU0EAACC4GREJnq/dtWVyRvW0sJr2dSgMtbYgKgAAwM8ZjjAZ4XEy6w41LMkRCmFo+vTp/q4DAACEEEdEolx1h4LiWUMdCkPerNXFhGMAAGBEJEqVO4LiWUMdCkPdu3dvd86QaZoyDEMul8snhQEAgODlCKKnUHcoDK1YscLfdQAAgBBiBNH6ZB0KQxMmTPB3HQAAIIQ09gyFzDDZV199peHDh8vhcOirr75q89iRI0f6pDAAABC8gmlJjg6FodGjR6ukpES9evXS6NGjZRiGWnpwNXOGAACAJBk/LtYaMnOGtm7dqp49e3q+BgAAaIvnKdShMkx2/PHHt/g1AABASxxBtFir12uT5eXl6dlnn222/dlnn9XDDz/sk6IAAEBw8wyTBcGcIa/D0NNPP60TTzyx2fZhw4YpPz/fJ0UBAIDg5giPkySZdV23an1neR2GSkpK1Lt372bbe/bsqd27d/ukKAAAENyM8IYVKUIyDKWlpemjjz5qtv2jjz5SamqqT4oCAADBzfD0DHV8SS+rdGgC9U/NnDlTt956q+rq6vSLX/xCklRYWKg5c+bo9ttv93mBAAAg+Dgae4bqq2S6XTIcTosrap3XYejOO+/U/v37NWvWLNXW1kqSoqKidNdddyk3N9fnBQIAgODT2DMkSWb9YRkRCRZW0zbDbOnpiR1w+PBhbdq0SdHR0Ro0aJAiIyN9XZtlKioqlJCQoPLycsXHx1tdDgAAQWn3nyIkd516Xb5Dzm5pfn+/zv7+9nrOUKPY2FiNHTtW/fr10zvvvKNNmzZ19lIAACAENU6idgf4JGqvw9AVV1yhRYsWSZKOHDmijIwMXXHFFRo5cqRee+01nxcIAACCk+f2+trAnkTtdRh6//33dcYZZ0iS3njjDZmmqbKyMj3xxBP63e9+5/MCAQBAcPLcXl8fYj1D5eXl6tGjhySpoKBAl156qWJiYnThhRfqm2++8XmBAAAgODVOog65YbK0tDQVFRWpsrJSBQUFmjhxoiTp4MGDioqK8nmBAAAgOAXLMJnXt9bfeuutuuqqqxQbG6t+/frprLPOktQwfDZixAhf1wcAAIJUsAyTeR2GZs2apXHjxqm4uFjnnnuuHI6GzqUBAwYwZwgAAHh4hslCrWdIkjIyMpSenq7q6mrFxsZKki688EKfFgYAAIKbI0jWJ/NqzlBZWZluvPFGJSUlKTk5WcnJyUpKStJNN92ksrIyf9UIAACCULCsT9bhnqEDBw5o/Pjx2rlzp6666ioNHTpUkrRx40YtXbpUhYWFWr16tRITE/1WLAAACB7BsnJ9h8PQ/fffr4iICH333XdKTk5utm/ixIm6//779dhjj/m8SAAAEHwcoXZr/fLly7VgwYJmQUiSUlJS9Mgjj+iNN97waXEAACB4BcswWYfD0O7duzVs2LBW9w8fPlwlJSU+KQoAAAS/YBkm63AYSkpK0rZt21rdv3XrVs+TqQEAAI4+gTpEeoays7P129/+VrW1tc321dTU6N5779V5553n0+IAAEDwCpZb672aQJ2RkaFBgwbpxhtv1IknnijTNLVp0yb993//t2pqavTnP//Zn7UCAIAgcnTOUIiEob59+6qoqEizZs1Sbm6uTNOUJBmGoXPPPVeLFi1SWlqa3woFAADBxROG6g/LNN0yDK+XRO0SXj2Bun///nrnnXd08OBBzwr1AwcOZK4QAABopnGYTJLMusMyIuLbONo6nVqOIzExUePGjfN1LQAAIJQ4IyUjTDLrG26vD9AwFJj9VQAAIOgZhuHpDQrkBy8ShgAAgN84wgL/wYuEIQAA4DfBcEcZYQgAAPhN4zAZYQgAANhS4zBZID+FmjAEAAD8hp4hAABga8Gwcj1hCAAA+I3hGSajZwgAANiQwzNMRs8QAACwIW6tBwAAtmaE8wRqAABgYw4mUAMAADtjmAwAANiaZ5islp4hAABgQ55hsnp6hgAAgA019gwxTAYAAGzpp3OGTNNtcTUtIwwBAAC/cfzYMyRJZn2lhZW0jjAEAAD8xxklGU5Jkhmgk6gJQwAAwG8Mwwj42+sJQwAAwK8cnqdQ0zMEAABsiJ6hDli8eLHS09MVFRWlzMxMrVmzps3jX331VZ144omKiorSiBEj9PbbbzfZ/+tf/7qhW+4nr/POO8+fTQAAAK0I9NvrLQ9Dy5YtU05OjubNm6fPP/9co0aNUnZ2tvbs2dPi8atXr9aVV16pa6+9Vl988YUmT56syZMna8OGDU2OO++887R7927P6y9/+UtXNAcAAPxMY88Qw2StePTRRzVz5kzNmDFDJ510kvLz8xUTE6Nnn322xeMff/xxnXfeebrzzjs1dOhQPfDAAzrllFO0aNGiJsdFRkYqJSXF80pMTOyK5gAAgJ9xMEzWutraWq1du1ZZWVmebQ6HQ1lZWSoqKmrxnKKioibHS1J2dnaz41euXKlevXppyJAhuuGGG7R///5W66ipqVFFRUWTFwAA8I2jw2SB+fvV0jC0b98+uVwuJScnN9menJyskpKSFs8pKSlp9/jzzjtPf/rTn1RYWKiHH35Yq1at0vnnny+Xy9XiNfPy8pSQkOB5paWlHWPLAABAo6PDZIHZMxRmdQH+MHXqVM/XI0aM0MiRI3XCCSdo5cqVOuecc5odn5ubq5ycHM/3FRUVBCIAAHzEwQTq1iUlJcnpdKq0tLTJ9tLSUqWkpLR4TkpKilfHS9KAAQOUlJSkb7/9tsX9kZGRio+Pb/ICAAC+cfTWeobJmomIiNCYMWNUWFjo2eZ2u1VYWKjx48e3eM748eObHC9J//znP1s9XpJ++OEH7d+/X7179/ZN4QAAoMOM8FhJkll/2OJKWmb53WQ5OTlasmSJnn/+eW3atEk33HCDKisrNWPGDEnStGnTlJub6zn+lltuUUFBgf74xz9q8+bNuu+++/TZZ5/ppptukiQdPnxYd955pz7++GNt27ZNhYWFuuiiizRw4EBlZ2db0kYAAOzMCOsmSTLrAnOhVsvnDE2ZMkV79+7V3LlzVVJSotGjR6ugoMAzSXrHjh1yOI5mttNOO00vvfSS7rnnHv3mN7/RoEGDtHz5cg0fPlyS5HQ69dVXX+n5559XWVmZUlNTNXHiRD3wwAOKjIy0pI0AANhZYxhyB+iq9YZpmqbVRQSaiooKJSQkqLy8nPlDAAAco+of3tHB9y5QWI+T1XPS5357n87+/rZ8mAwAAIQ2zzBZgPYMEYYAAIBfOQhDAADAzugZAgAAtmaExUiSzPoqiytpGWEIAAD4VWPPkNy1Mt311hbTAsIQAADwK08YUmAOlRGGAACAfzkjJaMhchCGAACA7RiGEdCTqAlDAADA7wJ5SQ7CEAAA8Dt6hgAAgK0RhgAAgK0RhgAAgK0F8sr1hCEAAOB39AwBAABbC+QlOQhDAADA7+gZAgAAtkYYAgAAtmaEE4YAAICNOegZAgAAdsZyHAAAwNaYMwQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGzt6HOGWI4DAADYkOFsXJuMniEAAGBDR4fJqmSapsXVNEUYAgAAftc4TCaZkuuIpbX8HGEIAAD4XeMwmSS5A2yojDAEAAD8znA4JWeUpMBbkoMwBAAAukSg3l5PGAIAAF0iUFeuJwwBAIAuQc8QAACwNcIQAACwNcIQAACwtUBdkoMwBAAAukSgLslBGAIAAF2CYTIAAGBrR4fJCEMAAMCG6BkCAAC25glDLMcBAADsiJ4hAABga41hiFXrAQCALdEzBAAAbI0wBAAAbI0wBAAAbM3BchwAAMDOWI4DAADYGsNkAADA1liOAwAA2Fpjz5DcdTLdddYW8xOEIQAA0CU8YUiBtSQHYQgAAHQNR4RkOCUF1lAZYQgAAHQJwzACchI1YQgAAHQZwhAAALA1whAAALA1whAAALA1IwCX5CAMAQCALtPYM+SmZ6ipxYsXKz09XVFRUcrMzNSaNWvaPP7VV1/ViSeeqKioKI0YMUJvv/12k/2maWru3Lnq3bu3oqOjlZWVpW+++cafTQAAAB0QiOuTWR6Gli1bppycHM2bN0+ff/65Ro0apezsbO3Zs6fF41evXq0rr7xS1157rb744gtNnjxZkydP1oYNGzzHPPLII3riiSeUn5+vTz75RN26dVN2draqq6u7qlkAAKAFgbgkh2GapmllAZmZmRo7dqwWLVokSXK73UpLS9PNN9+su+++u9nxU6ZMUWVlpf7+9797tp166qkaPXq08vPzZZqmUlNTdfvtt+uOO+6QJJWXlys5OVlLly7V1KlT262poqJCCQkJKi8vV3x8vI9aCgAAylZfryP/XqLYk+9X3Kh7fXrtzv7+trRnqLa2VmvXrlVWVpZnm8PhUFZWloqKilo8p6ioqMnxkpSdne05fuvWrSopKWlyTEJCgjIzM1u9Zk1NjSoqKpq8AACA7zka7yZjOY4G+/btk8vlUnJycpPtycnJKikpafGckpKSNo9v/NOba+bl5SkhIcHzSktL61R7AABA26L6X6mEM/6k6P7tj9R0FcvnDAWC3NxclZeXe17FxcVWlwQAQEiK6DlOMSf8fwo/brTVpXhYGoaSkpLkdDpVWlraZHtpaalSUlJaPCclJaXN4xv/9OaakZGRio+Pb/ICAAD2YGkYioiI0JgxY1RYWOjZ5na7VVhYqPHjx7d4zvjx45scL0n//Oc/Pcf3799fKSkpTY6pqKjQJ5980uo1AQCAfYVZXUBOTo6mT5+ujIwMjRs3TgsXLlRlZaVmzJghSZo2bZr69OmjvLw8SdItt9yiCRMm6I9//KMuvPBCvfzyy/rss8/0P//zP5IaVsS99dZb9bvf/U6DBg1S//79de+99yo1NVWTJ0+2rJ0AACAwWR6GpkyZor1792ru3LkqKSnR6NGjVVBQ4JkAvWPHDjkcRzuwTjvtNL300ku655579Jvf/EaDBg3S8uXLNXz4cM8xc+bMUWVlpa6//nqVlZXp9NNPV0FBgaKiorq8fQAAILBZ/pyhQMRzhgAACD5B+ZwhAAAAqxGGAACArRGGAACArRGGAACArRGGAACArRGGAACArRGGAACArRGGAACArVn+BOpA1PgcyoqKCosrAQAAHdX4e9vb50kThlpw6NAhSVJaWprFlQAAAG8dOnRICQkJHT6e5Tha4Ha7tWvXLsXFxckwDKvLOSYVFRVKS0tTcXFxSC8tYod22qGNkj3aSRtDhx3aGUxtNE1Thw4dUmpqapN1TdtDz1ALHA6H+vbta3UZPhUfHx/w/4h9wQ7ttEMbJXu0kzaGDju0M1ja6E2PUCMmUAMAAFsjDAEAAFtz3nffffdZXQT8y+l06qyzzlJYWGiPitqhnXZoo2SPdtLG0GGHdoZ6G5lADQAAbI1hMgAAYGuEIQAAYGuEIQAAYGuEIQAAYGuEIQAAYGuEIejiiy9WYmKiLrvssmb70tPTNXLkSI0ePVpnn322BdX5RmttLCsrU0ZGhkaPHq3hw4dryZIlFlV47Nr6Oba1L5gtWLBAw4YN0/Dhw/XCCy9YXY7PbdmyRaNHj/a8oqOjtXz5cqvL8otQ+axpTSh91rQnGD9vuLUeWrlypQ4dOqTnn39ef/3rX5vsS09P14YNGxQbG2tRdb7RWhtdLpdqamoUExOjyspKDR8+XJ999pmOO+44C6vtnLZ+jm3tC1br16/X9OnTtXr1apmmqbPPPlsFBQXq3r271aX5xeHDh5Wenq7t27erW7duVpfjc6HyWdOaUPqsaU8wft7QMwSdddZZiouLs7oMv2qtjU6nUzExMZKkmpoamaapYP3/g7Z+jqH4M960aZPGjx+vqKgoRUdHa9SoUSooKLC6LL/529/+pnPOOSckg5AdhNJnTXuC8fOGMBTg3n//ff3yl79UamqqDMNosYt88eLFSk9PV1RUlDIzM7VmzRqfvb9hGJowYYLGjh2rF1980WfX/Smr21hWVqZRo0apb9++uvPOO5WUlOSzazeyuo1W8Hebhw8frpUrV6qsrEwHDx7UypUrtXPnTl82oV1d+XN95ZVXNGXKlGMtuVO6op1d8VnTlq5oY1d81rTHjp9FHRGaz9UOIZWVlRo1apSuueYaXXLJJc32L1u2TDk5OcrPz1dmZqYWLlyo7OxsbdmyRb169ZIkjR49WvX19c3Offfdd5Wamtrm+3/44Yfq06ePdu/eraysLI0YMUIjR470TeN+ZHUbu3fvri+//FKlpaW65JJLdNlllyk5Odk3jfuR1W20gr/bfNJJJ2n27Nn6xS9+oYSEBJ166qlyOp1+b9dPddXPtaKiQqtXr9bLL7/s3wa1oiva2RWfNW3pijZ2xWdNe+z4WdQhJoKGJPONN95osm3cuHHmjTfe6Pne5XKZqampZl5enlfXXrFihXnppZe2ecwdd9xhPvfcc15d11tWt/GGG24wX331Va+u6y2r2tiR9vuLP9vc6NprrzX//ve/H1Odx8KfbfzTn/5kXnXVVT6p81h1xc+yKz5r2tIVbeyKz5r2WP15G0gYJgtitbW1Wrt2rbKysjzbHA6HsrKyVFRUdMzXr6ys1KFDhyQ1TN7817/+pWHDhh3zdb3h7zaWlpZ62lheXq73339fQ4YMOebresPfbQxEvmrznj17JDXcdbVmzRplZ2f7vNbO8uXP1cohsvb4op2B8FnTFl+0MRA+a9pjx8+iRgyTBbF9+/bJ5XI162ZNTk7W5s2bO3ydrKwsffnll6qsrFTfvn316quvavz48SotLdXFF18sqeFOiJkzZ2rs2LE+bUN7/N3G7du36/rrr/dMZrz55ps1YsQIXzejTf5uY3v7rOCrNl900UUqLy9Xt27d9NxzzwXUitq+amN5ebnWrFmj1157zdcl+oQv2hkInzVt8UUbA+Gzpj1d8VkUqALnkwOWee+991rcPmDAAH355ZddXI1/tNbGcePGad26dV1cjX+01sb29gWzUP+/VUlKSEhQaWmp1WX4VSh91rQmlD5r2hOMnzcMkwWxpKQkOZ3OZh+UpaWlSklJsagq36KNodHGn7NDm+3QRske7bRDGyX7tLMlhKEgFhERoTFjxqiwsNCzze12q7CwMOC7JDuKNoZGG3/ODm22Qxsle7TTDm2U7NPOljBMFuAOHz6sb7/91vP91q1btW7dOvXo0UP9+vVTTk6Opk+froyMDI0bN04LFy5UZWWlZsyYYWHV3qGNodHGn7NDm+3QRske7bRDGyX7tNNr1t7MhvasWLHClNTsNX36dM8xTz75pNmvXz8zIiLCHDdunPnxxx9bV3An0MYGwd7Gn7NDm+3QRtO0Rzvt0EbTtE87vcXaZAAAwNaYMwQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMAQAAGyNMATAVp555hmNHDlS0dHRSkhI0C9+8QurSwJgsTCrCwCArvL6669rzpw5evrpp5WZmalDhw5p27ZtVpcFwGKEIQC2sWXLFh1//PE699xz1b17d0nSsGHDLK4KgNUYJgNgGzNnzpRpmurRo4diY2O1detWq0sCEAAM0zRNq4sAAH+rq6vT+eefr8GDB+vaa69VQkKCTjjhBBmGYXVpACzGMBkAW3jjjTf07bff6r333rO6FAABhmEyALZQW1ur3bt3689//rO2bdumDRs26Omnn1Z9fb3VpQGwGMNkAGyhvr5ed911l1555RWVlpaqR48eOuecc/Tiiy9aXRoAixGGAACArTFMBgAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbI0wBAAAbO3/B9YDrf6phSQxAAAAAElFTkSuQmCC",
      "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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OMQybknMflSQd2PJ/qt2z0uJEaC+KDgAAR3B2z1XcgJmSpIqP5sj0+yxOhPag6AAA8D1JYwplxKTIu3etDm5banUctANFBwCA77HHZShhxM2SpMpPf8NenS6MogMAQDMShs6R4UyVr2KTDm7/m9Vx0EYUHQAAmmFzpihh2I2SpKpPfyPT9FucCG1B0QEAoAUJQ6+rn6tT/rkObn/R6jhoA4oOAAAtsMWmKmHYDZKkqnV3s1enC6LoAABwFAnDbpARkyRv+QbV7nrH6jgIEkUHAICjsMWmBq6rU71pocVpECyKDgAAx5AwZLYkyfPt6/JWbbc4DYJB0QEA4BgcKYPlPD5PMv2q2bzI6jgIAkUHAIBWSBhyrSTpwJePy/QetDgNWouiAwBAK8Rm/pdsCZnye8p0YNvzVsdBK1F0AABoBcPmUMLg/ydJqmFScpdB0QEAoJXiBl4tGQ7Vla1WXflGq+OgFSg6AAC0kj2uh2J7/1CSdPCbv1icBq1B0QEAIAhx/S6XJB345lmZpmlxGhwLRQcAgCC4+k6R4UiUr2qr6kpXWR0Hx0DRAQAgCIYjXq4TLpIkHeDwVadH0QEAIEiBw1dbl8r011mcBkdD0QEAIEjO48+SzZUh07NXnu/esjoOjoKiAwBAkAybQ64TL5PE4avOjqIDAEAbxPX7qSTJs/Pv3BKiE6PoAADQBjHpObLF95LprZaneIXVcdACig4AAG1gGDa5+lwgSfLsfNXiNGgJRQcAgDaK7fsjSdLBna9x8cBOiqIDAEAbxfY8U4YjQf6aXfLuXWt1HDSDogMAQBsZDpdie0+SVL9XB50PRQcAgHaIzZwiiaLTWVF0AABoh9g+50uGTd596+Sr2mF1HHwPRQcAgHawu7orpvupktir0xlRdAAAaCdX3/rDV56dr1ucBN9H0QEAoJ1ie/9QkuQpeU+mz2NxGhyJogMAQDs5UkfI5uoh+Q6otvRDq+PgCBQdAADayTAMOY8/S5JUu7vI4jQ4EkUHAIAQiD0+T5Lkoeh0Kp2i6CxcuFBZWVlyuVzKzc3V6tWrW/W+5557ToZhaOrUqWFOCADA0TmPP1uSVFf6kfy1bovToIHlRWfp0qXKz8/XvHnztHbtWo0ePVqTJk3Snj17jvq+bdu26eabb9bpp5/eQUkBAGiZIylL9qR+kulTbcl7VsfBIZYXnYcfflizZs3SzJkzNWzYMC1atEjx8fF64oknWnyPz+fT5Zdfrrvuukv9+vXrwLQAALSs4fAV83Q6D0uLTm1trdasWaO8vLzAMpvNpry8PK1atarF9919993q0aOHrrrqqmN+hsfjkdvtbvQAACAcGg5fMU+n87C06JSVlcnn8ykjI6PR8oyMDBUXFzf7nvfff19/+tOftGTJklZ9RmFhoVJSUgKPzMzMducGAKA5zuPPlCR596+X70CJxWkgdYJDV8GorKzUf//3f2vJkiVKT09v1XsKCgpUUVEReOzcuTPMKQEA0cru6i5H2mhJUu3uf1mcBpLksPLD09PTZbfbVVLSuPWWlJSoZ8+eTdbfsmWLtm3bpgsuuCCwzO/3S5IcDoc2b96s/v37N3pPbGysYmNjw5AeAICmYnudLe/+T+UpXq64fj+xOk7Us3SPjtPp1JgxY1RUdPhYpt/vV1FRkcaPH99k/SFDhmj9+vVat25d4DFlyhSdeeaZWrduHYelAACWc2acIUmq27PS4iSQLN6jI0n5+fmaMWOGcnJyNG7cOM2fP1/V1dWaOXOmJGn69Onq3bu3CgsL5XK5NGLEiEbvT01NlaQmywEAsEJM9/r/UPeWfy6/p1y22FSLE0U3y4vOtGnTVFpaqrlz56q4uFjZ2dlatmxZYILyjh07ZLN1qalEAIAoZo/rIXvyQPncX6m2dJVcfc6zOlJUM0zTNK0O0ZHcbrdSUlJUUVGh5ORkq+MAACJQ+b9/pgNbnlLiqF8p6eTfWB0nIrT17ze7SgAACDFnj1MlSbWlzNOxGkUHAIAQi+nxA0n1970y/V6L00Q3ig4AACHmSB0qIyZFprda3v2fWR0nqlF0AAAIMcOwydmj/uyrWk4ztxRFBwCAMGg4fFW75wOLk0Q3ig4AAGHQMCGZCwdai6IDAEAYxKSPkwy7fNU75Kv+1uo4UYuiAwBAGNhiEuXodugGn+zVsQxFBwCAMHEeuh1EXdlqi5NEL4oOAABhEnPcGElS3d41FieJXhQdAADC5MiiY5p+i9NEJ4oOAABh4kgdJtldMusq5XN/bXWcqETRAQAgTAybQzHdsiVx+MoqFB0AAMKIeTrWougAABBGFB1rUXQAAAijw0VnLROSLUDRAQAgjA5PSHbLV7nF6jhRh6IDAEAYGTaHYtLqr5BcV/axxWmiD0UHAIAwi0lnno5VKDoAAIQZE5KtQ9EBACDMmJBsHYoOAABhxoRk61B0AAAIM8MWc3hC8t61FqeJLhQdAAA6QEy3Q0Vn/2cWJ4kuFB0AADqAI22kJMm7f73FSaILRQcAgA4QKDr72KPTkSg6AAB0gJhDRcdXvV3+2gqL00QPig4AAB3AFttNtvjekiTv/g0Wp4kebSo6Tz/9tH7wgx+oV69e2r59uyRp/vz5evXVV0MaDgCASBKTNkqSVMc8nQ4TdNF57LHHlJ+fr/PPP1/l5eXy+XySpNTUVM2fPz/kAQEAiBSBeTrlFJ2OEnTRefTRR7VkyRLdcccdstvtgeU5OTlav55fHAAALQns0WFCcocJuuhs3bpVJ510UpPlsbGxqq6uDkkoAAAi0ZGnmJumaXGa6BB00TnxxBO1bt26JsuXLVumoUOHhiQUAACRyJEyRDIcMusq5K/eaXWcqOAI9g35+fm69tprdfDgQZmmqdWrV+uvf/2rCgsL9fjjj4cjIwAAEcGwO+VIGSJv+QbV7V8ve2JfqyNFvKCLztVXX624uDj96le/Uk1NjX7605+qV69e+v3vf6/LLrssHBkBAIgYjrSR8pZvkHf/Z1LmZKvjRLygio5pmtq5c6cuvvhiXX755aqpqVFVVZV69OgRrnwAAESUmLRROrj1r5xi3kGCmqNjmqYGDBignTvrjyvGx8dTcgAACAL3vOpYQRUdm82mgQMHau/eveHKAwBARIvpVn+Kubdik0xfrcVpIl/QZ13df//9uuWWW7RhA5evBgAgWLb4PjKcqZLplbdik9VxIl7Qk5GnT5+umpoajR49Wk6nU3FxcY1e37dvX8jCAQAQaQzDkCN1mOr2rJS3/IvAHh6ER9BFh9s8AADQPo6UofVFp2Kj1VEiXtBFZ8aMGeHIAQBA1HCk1F9gl6ITfkEXnR07dhz19b59ufgRAABH40g9VHTKKTrhFnTRycrKkmEYLb7ecDdzAADQPEfKMEmS171Zpt8rwxb0n2O0UtD/Zj/55JNGz+vq6vTJJ5/o4Ycf1r333huyYAAARCp7Yl8ZjniZ3hr5Kr+RI2WQ1ZEiVtBFZ/To0U2W5eTkqFevXnrwwQd10UUXhSQYAACRyjBssicPlnffJ/JWbKTohFHQ19FpyeDBg/Wf//wnVJsDACCiMU+nYwS9R8ftdjd6bpqmdu/erTvvvFMDBw4MWTAAACLZ4TOvvrA4SWQLuuikpqY2mYxsmqYyMzP13HPPhSwYAACRzJF6aEIye3TCKuiis3z58kbPbTabunfvrgEDBsjhYNY4AACtcXiPziaZpnnUM5rRdkE3kwkTJoQjBwAAUcWRPEAyHDK9VfLXfCt7QqbVkSJS0JORn3rqKf3jH/8IPL/11luVmpqqU089Vdu3bw9pOAAAIpVhi5E9eYAkDl+FU9BF57777gvcyHPVqlVasGCBHnjgAaWnp+vGG28MeUAAACJVTGCeDhOSwyXoQ1c7d+7UgAH1DfSVV17RJZdcomuuuUY/+MEPNHHixFDnAwAgYnHPq/ALeo9OYmKi9u7dK0l6++23dc4550iSXC6XDhw4ENp0AABEMIpO+AW9R+ecc87R1VdfrZNOOklffvmlzj//fEnS559/rqysrFDnAwAgYnHRwPALeo/OwoULNX78eJWWlurFF1/UcccdJ0las2aNfvKTn4Q8IAAAkcqRMkSS5PeUyX+wzOI0kSnoopOamqoFCxbo1Vdf1Q9/+MPA8rvuukt33HFHm0IsXLhQWVlZcrlcys3N1erVq1tc96WXXlJOTo5SU1OVkJCg7OxsPf300236XAAArGQ44mVP6CtJ8rq/tDhNZGrzFf5qamq0Y8cO1dbWNlo+atSooLazdOlS5efna9GiRcrNzdX8+fM1adIkbd68WT169Giyfrdu3XTHHXdoyJAhcjqdev311zVz5kz16NFDkyZNautwAACwhD15kHzVO+St+FLOHqdaHSfiGKZpmsG8obS0VD/72c+0bNmyZl/3+XxBBcjNzdXYsWO1YMECSZLf71dmZqbmzJmj22+/vVXbOPnkkzV58mT95je/afKax+ORx+MJPHe73crMzFRFRYWSk5ODygoAQKhVfHitajb9UQkjb1fymEKr43RabrdbKSkpQf/9DvrQ1Q033KCKigp99NFHiouL07Jly/TUU09p4MCBeu2114LaVm1trdasWaO8vLzDgWw25eXladWqVcd8v2maKioq0ubNm3XGGWc0u05hYaFSUlICj8xMrjwJAOg8HMmDJEk+Dl2FRdCHrv71r3/p1VdfVU5Ojmw2m0444QSdc845Sk5OVmFhoSZPntzqbZWVlcnn8ykjI6PR8oyMDG3atKnF91VUVKh3797yeDyy2+364x//GDjN/fsKCgqUn58feN6wRwcAgM7AnjxYkuStoOiEQ9BFp7q6OjB3Ji0tTaWlpRo0aJBGjhyptWvXhjxgc5KSkrRu3TpVVVWpqKhI+fn56tevX7MXLIyNjVVsbGyH5AIAIFiOlPo9Ol73VzJNvwwj6IMtOIqgi87gwYO1efNmZWVlafTo0Vq8eLGysrK0aNEiHX/88UFtKz09XXa7XSUlJY2Wl5SUqGfPni2+z2azBa7OnJ2drY0bN6qwsJArMwMAuhx7wgmSLUbye+Sr3ilH4glWR4ooQdfG66+/Xrt375YkzZs3T2+++ab69u2rP/zhD7rvvvuC2pbT6dSYMWNUVFQUWOb3+1VUVKTx48e3ejt+v7/RhGMAALoKw2aXI6n+P959FZstThN5gt6jc8UVVwR+HjNmjLZv365Nmzapb9++Sk9PDzpAfn6+ZsyYoZycHI0bN07z589XdXW1Zs6cKUmaPn26evfurcLC+pnohYWFysnJUf/+/eXxePTGG2/o6aef1mOPPRb0ZwMA0BnYUwbLW7FRXveXiu19rtVxIkqbr6NTW1urrVu3qn///jr55JPbHGDatGkqLS3V3LlzVVxcrOzsbC1btiwwQXnHjh2y2Q7veKqurtbs2bP17bffKi4uTkOGDNEzzzyjadOmtTkDAABWciQPkkdcNDAcgr6OTk1NjebMmaOnnnpKkvTll1+qX79+mjNnjnr37t3qa99Ypa3n4QMAEC41X/5JFSuvVmyvSep2bvPXqYt2HXYdnYKCAn366adasWKFXC5XYHleXp6WLl0a7OYAAIh6h8+8Yo9OqAV96OqVV17R0qVLdcopp8gwjMDy4cOHa8uWLSENBwBANGi4lo6vaptM70EZDtcx3oHWCnqPTmlpabP3oKqurm5UfAAAQOvYXN1lxKRIMuWtZKdBKAVddHJycvSPf/wj8Lyh3Dz++ONBnRIOAADqGYYROHzFrSBCK+hDV/fdd5/OO+88ffHFF/J6vfr973+vL774QitXrtS7774bjowAAEQ8e/Ig1ZX9h3k6IRb0Hp3TTjtN69atk9fr1ciRI/X222+rR48eWrVqlcaMGROOjAAARDxHSsM9r7hoYCi16To6/fv315IlS0KdBQCAqNVwF3P26IRWmy8YuGfPHu3Zs0d+v7/R8lGjRrU7FAAA0aah6HAbiNAKuuisWbNGM2bM0MaNG/X9aw0ahiGfzxeycAAARAt7cv39rvyeMvlrK2RzplicKDIEXXSuvPJKDRo0SH/605+UkZHBKeUAAISALSZJtrie8h8ols/9tWzpzHsNhaCLzjfffKMXX3xRAwYMCEceAACilj29XyFGAAAgAElEQVRpgPwHiuV1f6UYik5IBH3W1dlnn61PP/00HFkAAIhqjuSBkiRv5dcWJ4kcQe/RefzxxzVjxgxt2LBBI0aMUExMTKPXp0yZErJwAABEE8eheTo+91cWJ4kcQRedVatW6YMPPtCbb77Z5DUmIwMA0HZ29uiEXNCHrubMmaMrrrhCu3fvlt/vb/Sg5AAA0HaOJPbohFrQRWfv3r268cYblZGREY48AABErcAp5gdL5a+tsDhNZAi66Fx00UVavnx5OLIAABDVbDFJsrnqdyT43By+CoWg5+gMGjRIBQUFev/99zVy5Mgmk5Gvu+66kIUDACDa2JMHyn+wRN7KrznFPAQM8/uXNz6GE088seWNGYa++eabdocKJ7fbrZSUFFVUVCg5OdnqOAAANFL+/kwd+PpJJZ70GyWN/pXVcTqNtv79DnqPztatW4N9CwAAaKWGa+lw6Co0gp6jAwAAwsd+6MwrbyVnXoUCRQcAgE6EPTqhRdEBAKATOXyK+R75a90Wp+n6KDoAAHQijU4x5wrJ7UbRAQCgk2nYq+PlCsntFvRZV5JUXl6u1atXa8+ePfL7/Y1emz59ekiCAQAQrRxJA1S35wN5mafTbkEXnb///e+6/PLLVVVVpeTkZBmGEXjNMAyKDgAA7dRwc08OXbVf0IeubrrpJl155ZWqqqpSeXm59u/fH3js27cvHBkBAIgqDg5dhUzQRee7777Tddddp/j4+HDkAQAg6nGKeegEXXQmTZqkjz/+OBxZAACADl800H+whFPM2ynoOTqTJ0/WLbfcoi+++KLZm3pOmTIlZOEAAIhGNmeybK4e8h/cI1/lFtmOO8nqSF1W0Df1tNla3glkGIZ8Pl+7Q4UTN/UEAHQFZW/8QHV7Vip1wlLFnXip1XEs19a/30EfuvL7/S0+OnvJAQCgq3AkceZVKHDBQAAAOiEuGhgabSo67777ri644AINGDBAAwYM0JQpU/Tvf/871NkAAIhaDWdecdHA9gm66DzzzDPKy8tTfHy8rrvuOl133XWKi4vT2WefrWeffTYcGQEAiDqOQ2de+dij0y5BT0YeOnSorrnmGt14442Nlj/88MNasmSJNm7cGNKAocZkZABAV+CvrVDJs6mSpIzL3bLFJFmcyFodNhn5m2++0QUXXNBk+ZQpU7R169ZgNwcAAJphc6bI5uouiQsHtkfQRSczM1NFRUVNlr/zzjvKzMwMSSgAAHD4nldezrxqs6AvGHjTTTfpuuuu07p163TqqadKkj744AM9+eST+v3vfx/ygAAARKv6u5ivZJ5OOwRddH7+85+rZ8+e+t3vfqfnn39eUv28naVLl+pHP/pRyAMCABCt7Jx51W5BFx1JuvDCC3XhhReGOgsAADhCw5lXXEun7bhgIAAAnVTgLubM0WmzVu3R6datm7788kulp6crLS1NhmG0uO6+fftCFg4AgGjWcHVk/4Fi+esqo/4U87ZoVdF55JFHlJSUFPj5aEUHAACERsMp5v6DpfK5t8h2XLbVkbqcVhWdGTNmBH7+2c9+Fq4sAADge+xJA+Q/WCpv5VeKoegELeg5Ona7XXv27GmyfO/evbLb7SEJBQAA6jmSG24FwTydtgi66LR0xwiPxyOn09nuQAAA4LDDp5hz5lVbtPr08j/84Q+SJMMw9PjjjysxMTHwms/n03vvvachQ4aEPiEAAFEscHNPzrxqk1YXnUceeURS/R6dRYsWNTpM5XQ6lZWVpUWLFoU+IQAAUYw9Ou3T6qLTcMPOM888Uy+99JLS0tLCFgoAANRr2KNTf4p5lWwxicd4B44U9Byd5cuXU3IAAOggtthU2WLTJUm+yi0Wp+l62nQLiG+//VavvfaaduzYodra2kavPfzwwyEJBgAA6tmTB8hfWiav+yvFdBttdZwuJeiiU1RUpClTpqhfv37atGmTRowYoW3btsk0TZ188snhyAgAQFRzJA9UXemHnGLeBkEfuiooKNDNN9+s9evXy+Vy6cUXX9TOnTs1YcIE/fjHPw5HRgAAopq94eaelUxIDlbQRWfjxo2aPn26JMnhcOjAgQNKTEzU3Xffrd/+9rchDwgAQLQL3NyTPTpBC7roJCQkBOblHH/88dqy5fDEqLKysjaFWLhwobKysuRyuZSbm6vVq1e3uO6SJUt0+umnKy0tTWlpacrLyzvq+gAAdHUNN/fkFPPgBV10TjnlFL3//vuSpPPPP1833XST7r33Xl155ZU65ZRTgg6wdOlS5efna968eVq7dq1Gjx6tSZMmNXubCUlasWKFfvKTn2j58uVatWqVMjMzde655+q7774L+rMBAOgKDp9ivlv+umqL03QthtnSPR1a8M0336iqqkqjRo1SdXW1brrpJq1cuVIDBw7Uww8/rBNOOCGoALm5uRo7dqwWLFggSfL7/crMzNScOXN0++23H/P9Pp9PaWlpWrBgQeCQ2tG43W6lpKSooqJCycnJQWUFAMAqxX9Nl+nZq/Qp66LyzKu2/v0O+qyrfv36BX5OSEho19WQa2trtWbNGhUUFASW2Ww25eXladWqVa3aRk1Njerq6tStW7dmX/d4PPJ4PIHnbre7zXkBALBK/ZlXe+V1fx2VRaetgj50FUplZWXy+XzKyMhotDwjI0PFxcWt2sZtt92mXr16KS8vr9nXCwsLlZKSEnhkZma2OzcAAB0tcM8r5ukEpVV7dNLS0mQYRqs2uG/fvnYFCsb999+v5557TitWrJDL5Wp2nYKCAuXn5weeu91uyg4AoMsJ3POKm3sGpVVFZ/78+WH58PT0dNntdpWUlDRaXlJSop49ex71vQ899JDuv/9+vfPOOxo1alSL68XGxio2NjYkeQEAsIojmT06bdGqojNjxoywfLjT6dSYMWNUVFSkqVOnSqqfjFxUVKRf/OIXLb7vgQce0L333qu33npLOTk5YckGAEBnwh6dtmlV0QlmAm+wZzLl5+drxowZysnJ0bhx4zR//nxVV1dr5syZkqTp06erd+/eKiwslCT99re/1dy5c/Xss88qKysrMJcnMTFRiYnc0RUAEJkCp5jX7JK/rlq2mASLE3UNrSo6qampx5yjY5qmDMOQz+cLKsC0adNUWlqquXPnqri4WNnZ2Vq2bFlggvKOHTtksx2eM/3YY4+ptrZWl1xySaPtzJs3T3feeWdQnw0AQFdhi02TEXucTM9e+Sq3yNat5WkbOKxV19F59913W73BCRMmtCtQuHEdHQBAV1X2+imqK/tIqRP/prisi62O06HCeh2dzl5eAACIBo7kgaor+0g+5um0WquKzmeffaYRI0bIZrPps88+O+q6RzsDCgAAtB33vApeq4pOdna2iouL1aNHD2VnZ8swDDV3xKstc3QAAEDrHL5oIHt0WqtVRWfr1q3q3r174GcAANDxDp9izh6d1mpV0TnyRp3B3rQTAACERsNFAznFvPWCvtdVYWGhnnjiiSbLn3jiCf32t78NSSgAANCULbabjNj6m1j7KrdYnKZrCLroLF68WEOGDGmyfPjw4e26kzkAADi2hnk6XCG5dYIuOsXFxTr++OObLO/evbt2794dklAAAKB5DfN0uOdV6wRddDIzM/XBBx80Wf7BBx+oV69eIQkFAACaF9ijw5lXrdKqychHmjVrlm644QbV1dXprLPOkiQVFRXp1ltv1U033RTygAAA4DAHe3SCEnTRueWWW7R3717Nnj1btbW1kiSXy6XbbrtNBQUFIQ8IAAAOC1w0kDk6rdKqe101p6qqShs3blRcXJwGDhyo2NjYUGcLC+51BQDoyvyefSr563GSpJ5XVMtwxFucqGO09e930HN0GiQmJmrs2LHq27ev3nzzTW3cuLGtmwIAAK1ki+0mw5kmSfJyivkxBV10Lr30Ui1YsECSdODAAeXk5OjSSy/VqFGj9OKLL4Y8IAAAaOzwPB0OXx1L0EXnvffe0+mnny5Jevnll2WapsrLy/WHP/xB99xzT8gDAgCAxri5Z+sFXXQqKirUrVv9VRmXLVumiy++WPHx8Zo8ebK++op/4QAAhJsjqeGeV+zROZY2XUdn1apVqq6u1rJly3TuuedKkvbv3y+XyxXygAAAoLGGPTqcYn5sQZ9efsMNN+jyyy9XYmKi+vbtq4kTJ0qqP6Q1cuTIUOcDAADf0zBHh4sGHlvQRWf27NkaN26cdu7cqXPOOUc2W/1OoX79+jFHBwCADtBwdWR/zbcyvTVRc4p5WwRddCQpJydHWVlZOnjwoBITEyVJkydPDmkwAADQPJvrOBnONJm1++Wt/EYxaSOsjtRpBTVHp7y8XNdee63S09OVkZGhjIwMpaen6xe/+IXKy8vDlREAAHyPg3k6rdLqPTr79u3T+PHj9d133+nyyy/X0KFDJUlffPGFnnzySRUVFWnlypVKS0sLW1gAAFDPnjxQdWX/kdf9pdVROrVWF527775bTqdTW7ZsUUZGRpPXzj33XN1999165JFHQh4SAAA05kgZIknyVmy2OEnn1upDV6+88ooeeuihJiVHknr27KkHHnhAL7/8ckjDAQCA5h0uOpssTtK5tbro7N69W8OHD2/x9REjRqi4uDgkoQAAwNEdLjob1cb7c0eFVhed9PR0bdu2rcXXt27dGrhiMgAACK/6qyMbMmvL5T+4x+o4nVari86kSZN0xx13qLa2tslrHo9Hv/71r/XDH/4wpOEAAEDzDIdL9qQTJXH46miCmoyck5OjgQMH6tprr9WQIUNkmqY2btyoP/7xj/J4PHr66afDmRUAABzBkTJEvspv5K3YpNieE6yO0ym1uuj06dNHq1at0uzZs1VQUBA4HmgYhs455xwtWLBAmZmZYQsKAAAac6QMlefbN+Rjj06Lgroy8oknnqg333xT+/fvD9ypfMCAAczNAQDAAoEJyeUbLU7SebXpFhBpaWkaN25cqLMAAIAgcIr5sQV1CwgAANB5NBQdX/V2md4ai9N0ThQdAAC6KJsrXUbscZIkbwW3gmgORQcAgC7MkVJ/70kOXzWPogMAQBfGPJ2jo+gAANCFHXkrCDRF0QEAoAtjj87RUXQAAOjCAkXH/aVMv8/iNJ0PRQcAgC7Mnpgl2WIl30H5qndYHafToegAANCFGTa7HCmDJDFPpzkUHQAAujhHyjBJknf/BouTdD4UHQAAujhH2khJknf/eouTdD4UHQAAuriYQ0WnjqLTBEUHAIAuLrBHp2KjTH+dxWk6F4oOAABdnD3xBBmOBMlfK6/7K6vjdCoUHQAAujjDsMmROkISE5K/j6IDAEAEYEJy8yg6AABEACYkN4+iAwBABHCkHTp0VU7RORJFBwCACNBw6MpX+Y38dVUWp+k8KDoAAEQAu6u7bK4MSZK3/AuL03QeFB0AACIEE5KbougAABAhmJDcFEUHAIAIwYTkpig6AABECA5dNUXRAQAgQsSkDpdkyH+wVL4DJVbH6RQsLzoLFy5UVlaWXC6XcnNztXr16hbX/fzzz3XxxRcrKytLhmFo/vz5HZgUAIDOzXDEy548UJJUt3etxWk6B0uLztKlS5Wfn6958+Zp7dq1Gj16tCZNmqQ9e/Y0u35NTY369eun+++/Xz179uzgtAAAdH7O9HGSpLrSjyxO0jlYWnQefvhhzZo1SzNnztSwYcO0aNEixcfH64knnmh2/bFjx+rBBx/UZZddptjY2A5OCwBA5xfTPVeSVFdG0ZEsLDq1tbVas2aN8vLyDoex2ZSXl6dVq1aF7HM8Ho/cbnejBwAAkaqh6NSWrZZpmhansZ5lRaesrEw+n08ZGRmNlmdkZKi4uDhkn1NYWKiUlJTAIzMzM2TbBgCgs4lJGy3ZYmV69slXucXqOJazfDJyuBUUFKiioiLw2Llzp9WRAAAIG8PuVMxxJ0lino5kYdFJT0+X3W5XSUnj099KSkpCOtE4NjZWycnJjR4AAESymPSGw1cUHcuKjtPp1JgxY1RUVBRY5vf7VVRUpPHjx1sVCwCALs/ZveHMq5Yv2RItHFZ+eH5+vmbMmKGcnByNGzdO8+fPV3V1tWbOnClJmj59unr37q3CwkJJ9ROYv/jii8DP3333ndatW6fExEQNGDDAsnEAANCZNOzRqdv3iUyfR4Y9es9UtrToTJs2TaWlpZo7d66Ki4uVnZ2tZcuWBSYo79ixQzbb4Z1Ou3bt0kknnRR4/tBDD+mhhx7ShAkTtGLFio6ODwBAp2RP6idbbLr8njLV7fs0sIcnGhlmlJ175na7lZKSooqKCubrAAAi1r53Jsvz7RtKzv2DEobOsTpOu7X173fEn3UFAEA0CkxIjvIzryg6AABEIGfgCsnRPSGZogMAQASKOXTPK5/7K/kONH8PyWhA0QEAIALZYtPkSBstSaotXm5xGutQdAAAiFCxvervJ+nZ9Y7FSaxD0QEAIEI5j68vOrW7/hm1N/ik6AAAEKGcGadLthj5qrfLV/mN1XEsQdEBACBC2WIS5Oxef1slz+7oPHxF0QEAIII5D83Tqd1ddIw1IxNFBwCACBZ7/NmSJM/uIpmm3+I0HY+iAwBABItJHysjJkmmZ5+8+9ZZHafDUXQAAIhghi1Gzp4TJUXnaeYUHQAAItzhw1cUHQAAEGGcvc6RJNUWvyd/XaXFaToWRQcAgAjnSBkqe/JAye+R59s3rI7ToSg6AABEOMMw5DrhYknSwW1/szhNx6LoAAAQBeJOuESS5PnuDZneGovTdByKDgAAUcBx3MmyJ2bJ9Nbo4HfLrI7TYSg6AABEgUaHr7a/aHGajkPRAQAgSjQUHc/Ov8v0eSxO0zEoOgAARImY7rmyxfeWWVcpz65/Wh2nQ1B0AACIEoZhk+uEiyRFz9lXFB0AAKJIXNaPJdXP04mGiwdSdAAAiCIxPU6TPXmQTG+VDm59zuo4YUfRAQAgihiGofhB10iSajb/r8Vpwo+iAwBAlIkfMEOyOVW392PV7V1rdZywougAABBlbK70wKTkmi+XWJwmvCg6AABEoYbDVwe++Yv8dVUWpwkfig4AAFHI2XOi7EkDZNZVRvSkZIoOAABRyDAMxQ+u36tT/cXvZZp+ixOFB0UHAIAoFT9wloyYZHnLN8iz4zWr44QFRQcAgChli01V/NBfSJKqPrtXpmlanCj0KDoAAESxhGE3yHDEq27vx6rd9bbVcUKOogMAQBSzu7orftD/SKrfqxNpKDoAAES5hBE3Szanakv+LU/xe1bHCSmKDgAAUc4e30vxA6+UJFWuuS2i5upQdAAAgBJH/1qGI0F1pR/q4Na/Wh0nZCg6AABA9vheShz1S0mS++Pb5K+rtjhRaFB0AACAJClh2I2yJ5wgf823qt7woNVxQoKiAwAAJEmGI05JY+sLTtWGB+Sr2mFxovaj6AAAgADXCZfImXG65Dugig9nd/mJyRQdAAAQYBiGkscvkmxOeb79hw5sedrqSO1C0QEAAI3EpA5TUvZdkiT36uvlq9llcaK2o+gAAIAmEkbcrJjjcmTWlqti5f902UNYFB0AANCEYXMo5bQ/HzqE9boOfLnE6khtQtEBAADNikkboaST6+9/VfHRdarb96nFiYJH0QEAAC1KGJ6v2D6TJb9H+1f8WP66SqsjBYWiAwAAWmQYNqWe9pRsCZnyub9SxcprutR8HYoOAAA4KpvrOKVNWCoZDh3c+pxqvvxfqyO1GkUHAAAck7PHeCWNKZQkuT+6XnV7P7E4UetQdAAAQKskDL9JsZkXHJqvc6n8tW6rIx0TRQcAALSKYRhKPe1J2RP6ylf5tSpWXt3p5+tQdAAAQKvZYrsptWG+zrYXVLP5MasjHRVFBwAABMXZ4xQl5fxWkuRefaPqytZYnKhlFB0AABC0hGE3KjbzR5K/VvvfvVT+2gqrIzWLogMAAIJWP1/nz7InZslX+Y0qPriqU87XoegAAIA2scWmKXXi85ItRge3v6gDW562OlITnaLoLFy4UFlZWXK5XMrNzdXq1auPuv4LL7ygIUOGyOVyaeTIkXrjjTc6KCkAADiSM32skrLvlCS5P5ojX9UOawN9j+VFZ+nSpcrPz9e8efO0du1ajR49WpMmTdKePXuaXX/lypX6yU9+oquuukqffPKJpk6dqqlTp2rDhg0dnBwAAEhSwohbFdP9FJl1bpV/MFOm6bc6UoBhWnxALTc3V2PHjtWCBQskSX6/X5mZmZozZ45uv/32JutPmzZN1dXVev311wPLTjnlFGVnZ2vRokVN1vd4PPJ4PIHnbrdbmZmZqqioUHJychhGBABA9PG6v1LZa9kyvTVKHvd7JQy7LqTbd7vdSklJCfrvt6V7dGpra7VmzRrl5eUFltlsNuXl5WnVqlXNvmfVqlWN1pekSZMmtbh+YWGhUlJSAo/MzMzQDQAAAEiSHMkDlZTzkCSp6rP7ZHoPWJyonqVFp6ysTD6fTxkZGY2WZ2RkqLi4uNn3FBcXB7V+QUGBKioqAo+dO3eGJjwAAGgkfvD/U+KoO5T+X6tlOOKsjiNJclgdINxiY2MVGxtrdQwAACKeYRhKOvkeq2M0YukenfT0dNntdpWUlDRaXlJSop49ezb7np49ewa1PgAAiF6WFh2n06kxY8aoqKgosMzv96uoqEjjx49v9j3jx49vtL4k/fOf/2xxfQAAEL0sP3SVn5+vGTNmKCcnR+PGjdP8+fNVXV2tmTNnSpKmT5+u3r17q7CwUJJ0/fXXa8KECfrd736nyZMn67nnntPHH3+s//3f/7VyGAAAoBOyvOhMmzZNpaWlmjt3roqLi5Wdna1ly5YFJhzv2LFDNtvhHU+nnnqqnn32Wf3qV7/SL3/5Sw0cOFCvvPKKRowYYdUQAABAJ2X5dXQ6WlvPwwcAANbpktfRAQAACCeKDgAAiFgUHQAAELEoOgAAIGJRdAAAQMSi6AAAgIhF0QEAABGLogMAACKW5VdG7mgN10d0u90WJwEAAK3V8Hc72OscR13RqayslCRlZmZanAQAAASrsrJSKSkprV4/6m4B4ff7tWvXLiUlJckwDKvjtJvb7VZmZqZ27twZsbe0YIyRIxrGGQ1jlKJjnNEwRqnrjNM0TVVWVqpXr16N7oF5LFG3R8dms6lPnz5Wxwi55OTkTv0/0FBgjJEjGsYZDWOUomOc0TBGqWuMM5g9OQ2YjAwAACIWRQcAAEQs+5133nmn1SHQPna7XRMnTpTDEblHIhlj5IiGcUbDGKXoGGc0jFGK7HFG3WRkAAAQPTh0BQAAIhZFBwAARCyKDgAAiFgUHQAAELEoOgAAIGJRdCLchRdeqLS0NF1yySVNXsvKytKoUaOUnZ2tM88804J0odHSGMvLy5WTk6Ps7GyNGDFCS5YssShhaBztd3m017qqhx56SMOHD9eIESP0zDPPWB0nLDZv3qzs7OzAIy4uTq+88orVsUIuUr5rjibSvm9a0hW/azi9PMKtWLFClZWVeuqpp/S3v/2t0WtZWVnasGGDEhMTLUoXGi2N0efzyePxKD4+XtXV1RoxYoQ+/vhjHXfccRambbuj/S6P9lpXtH79es2YMUMrV66UaZo688wztWzZMqWmplodLWyqqqqUlZWl7du3KyEhweo4IRUp3zVHE2nfNy3pit817NGJcBMnTlRSUpLVMcKqpTHa7XbFx8dLkjwej0zTVFfu9Uf7XUba73njxo0aP368XC6X4uLiNHr0aC1btszqWGH12muv6eyzz464khMtIu37piVd8buGomOh9957TxdccIF69eolwzCa3WW9cOFCZWVlyeVyKTc3V6tXrw7Z5xuGoQkTJmjs2LH6y1/+ErLtHsnqMZaXl2v06NHq06ePbrnlFqWnp4ds20eyepwdLdzjHTFihFasWKHy8nLt379fK1as0HfffRfKIbRKR/5en3/+eU2bNq29kYPWEWPsiO+aY+mIcXbU901Lou17qLUi71rPXUh1dbVGjx6tK6+8UhdddFGT15cuXar8/HwtWrRIubm5mj9/viZNmqTNmzerR48ekqTs7Gx5vd4m73377bfVq1evo37++++/r969e2v37t3Ky8vTyJEjNWrUqNAM7hCrx5iamqpPP/1UJSUluuiii3TJJZcoIyMjNIM7gtXj7GjhHu+wYcN03XXX6ayzzlJKSopOOeUU2e32sI/r+zrq9+p2u7Vy5Uo999xz4R1QMzpijB3xXXMsHTHOjvq+aUm0fQ+1molOQZL58ssvN1o2btw489prrw089/l8Zq9evczCwsKgtr18+XLz4osvPuo6N998s/nnP/85qO0Gy+ox/vznPzdfeOGFoLbbFlaNszX/DsIhnONtcNVVV5mvv/56u3K2VzjH+X//93/m5ZdfHpKc7dERv8uO+K45lo4YZ0d937TE6u/bzoRDV51UbW2t1qxZo7y8vMAym82mvLw8rVq1qt3br66uVmVlpaT6SZD/+te/NHz48HZvNxjhHmNJSUlgjBUVFXrvvfc0ePDgdm83WOEeZ2cTqvHu2bNHUv2ZSatXr9akSZNCnrU9Qvl7teqw1bGEYoyd4bvmWEIxzs7yfdOSaPseOhKHrjqpsrIy+Xy+Jrs9MzIytGnTplZvJy8vT59++qmqq6vVp08fvfDCCxo/frxKSkp04YUXSqo/W2DWrFkaO3ZsSMdwLOEe4/bt23XNNdcEJgXOmTNHI0eODPUwjinc4zzWax0tVOP90Y9+pIqKCiUkJOjPf/5zp7urcqjGWVFRodWrV+vFF18MdcR2C8UYO8N3zbGEYpyd5fumJR3xPdRZda5vDoTcO++80+zyfv366dNPP+3gNOHR0hjHjRundevWdXCa8GlpnMd6rauK9P/KbJCSkqKSkhKrY4RNJH3XHE2kfd+0pCt+13DoqpNKT0+X3W5v8gVYUlKinj17WpQqtKJhjFL0jLNBtIw3GsYZDWOUomOc0TDGllB0OvRrp5QAAAJkSURBVCmn06kxY8aoqKgosMzv96uoqKjT7yZsrWgYoxQ942wQLeONhnFGwxil6BhnNIyxJRy6slBVVZW+/vrrwPOtW7dq3bp16tatm/r27av8/HzNmDFDOTk5GjdunObPn6/q6mrNnDnTwtTBiYYxStEzzgbRMt5oGGc0jFGKjnFGwxjbxNqTvqLb8uXLTUlNHjNmzAis8+ijj5p9+/Y1nU6nOW7cOPPDDz+0LnAbRMMYTTN6xtkgWsYbDeOMhjGaZnSMMxrG2Bbc6woAAEQs5ugAAICIRdEBAAARi6IDAAAiFkUHAABELIoOAACIWBQdAAAQsSg6AAAgYlF0AABAxKLoAACAiEXRAQAAEYuiAwAAIhZFBwAARCyKDoCI8fjjj2vUqFGKi4tTSkqKzjrrLKsjAbCYw+oAABAKL730km699VYtXrxYubm5qqys1LZt26yOBcBiFB0AEWHz5s064YQTdM455yg1NVWSNHz4cItTAbAah64ARIRZs2bJNE1169ZNiYmJ2rp1q9WRAHQChmmaptUhAKA96urqdN5552nQoEG66qqrlJKSov79+8swDKujAbAYh64AdHkvv/yyvv76a73zzjtWRwHQyXDoCkCXV1tbq927d+vpp5/Wtm3btGHDBi1evFher9fqaAAsxqErAF2e1+vVbbfdpueff14lJSXq1q2bzj77bP3lL3+xOhoAi1F0AABAxOLQFQAAiFgUHQAAELEoOgAAIGJRdAAAQMSi6AAAgIj1/9utAxkAAACAQf7W9/iKItEBALZEBwDYEh0AYEt0AIAt0QEAtkQHANgKPRYyIXkg0H8AAAAASUVORK5CYII=",
      "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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",
      "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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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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