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School/Anul 1/Semestrul 1/Analysis/Notebook.ipynb
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{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"12.4 [Python] Consider the quadratic function $f:\\R^2\\to\\R$, $f(x,y)=\\frac{1}{2}(x^2+by^2)$ with $b>0$ and the gradient descent algorithm for finding its minimum.\n",
"\n",
"$(x_{k+1},y_{k+1})=(x_{k},y_{k})-s_{k} \\nabla f(x_{k},y_{k})$\n",
"\n",
"where the step size $s_{k}>0$ is chosen (exact line search) to minimize the function\n",
"\n",
"$\\varphi(s) = f(x_{k+1},y_{k+1})=f((x_{k},y_{k})-s \\nabla f(x_{k},y_{k}))$,   $\\varphi_{'}(s_{k})=0$\n",
"\n",
"For $b=1,\\frac{1}{2},\\frac{1}{5},\\frac{1}{10}$ plot some gradient descent iterations and the relevant contour lines of $f$. What do you notice as $b$ gets smaller?"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_11836\\1062423606.py:38: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n",
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_11836\\1062423606.py:38: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n",
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_11836\\1062423606.py:38: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n",
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_11836\\1062423606.py:38: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n"
]
},
{
"data": {
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UCuby0dwXH9fRmAQ9zpkIAHDfWJEAAACADCspOUWbDsWk/97fLxshAgA8IIIEAAAAZEhpZyI8O+0P/fL3aaPLAYAMgyABAAAAGc71Byt6eViUO7u30SUBQIZBkAAAAIAMhdsZAMC5CBIAAACQYRAiAIDzESQAAAAgQ7ianEqIAAAuQJAAAACADMHb06KA3NkIEQDAybyMLgAAAABwBIvForefDlLXWiUUWDCX0eUAQIbFigQAAAC4raTkFE2OPKiryamSroUJhAgA4FysSAAAAIBbuv5gxT2n4/Vpx8pGlwQAmQIrEgAAAOB2br6doX21YkaXBACZBkECAAAA3ApXPAKAsQgSAAAA4DYIEQDAeAQJAAAAcBtD5m0nRAAAgxEkAAAAwG10fryE8ubIQogAAAbi1gYAAAC4jcdL5dPvr9RTjqz8NRYAjMKKBAAAAJhWUnKKhszbrr1n4tMfI0QAAGMZHiRMnjxZFStWlK+vr3x9fVWzZk0tW7bM6LIAAABgsKTkVPWetVU/bD2hF76JUlJyitElAQBkgiChaNGiGjt2rLZs2aKoqCjVr19fTz/9tHbt2mV0aQAAADBIcqrUb842rf7fwYoftKmorF6eRpcFAJAJzkho0aLFDb9/9913NXnyZG3atElBQUEGVQUAAACjJCWn6ut9Htp94V9uZwAAEzI8SLheSkqK5s+fr8uXL6tmzZq3fZ7VapXVanVhZY6TVre71i/Rg1nQgznQgznQgznQgzm4ew9JyanqG/6Xdl/wUFYvD33VubKql/Bzu37c/XWQ6MEs6MEcMlIPjmCx2Ww2h412n3bs2KGaNWsqMTFROXPmVHh4uJo2bfqf58XHx8vPz0/h4eHKnj27AZUCAADAmX4+5qGIkx7yttjU85FUPexn+F9VASBDSEhIUKdOnRQXFydfX98HGssUQcLVq1d17NgxxcXFacGCBZo2bZp+++03lS9f/obnpQUJp0+fVr58+Qyq9sFYrVZFREQoNDRU3t7eRpdzX+jBHOjBHOjBHOjBHOjBHNy9h0tJyeob/pcq+fyrfm0aumUPkvu/DhI9mAU9mENG6CEmJkb+/v4OCRJMsbUhS5YsCgwMlCQFBwdr8+bN+uSTTzRlypRbPt/b29ttX7w09GAO9GAO9GAO9GAO9GAO9OBaKak2eXpYJEl5vL31TbeqWrZsmVv1cDv0YA70YA70YCxH1m34rQ23kpqaqqSkJKPLAAAAgJMlJafoxe+iNGlNdPpjFovFwIoAAHdj+IqE4cOHKywsTMWLF9fFixcVHh6uyMhIrVixwujSAAAA4ERJySnqM2urVu09q3XR/+rpSgEqmodzsADA7AwPEs6ePavnnntOp0+flp+fnypWrKgVK1YoNDTU6NIAAADgJNeHCGlXPBIiAIB7MDxI+Prrr40uAQAAAC50qxDhicD8RpcFALCTKc9IAAAAQMZEiAAA7o8gAQAAAC7z275zhAgA4OYM39oAAACAzKNRUGG99VSQAgvmJEQAADdFkAAAAACnSkpOUaI1VX7Zrt1h3rXWQ8YWBAB4IGxtAAAAgNOknYnQ5es/FJdgNbocAIADECQAAADAKa4/WHHfmYs6cPai0SUBAByAIAEAAAAOd6vbGao+lNfosgAADkCQAAAAAIfiikcAyNgIEgAAAOAwhAgAkPERJAAAAMBhzsYnacfJOEIEAMjAuP4RAAAADlMsb3bNffFxnYlPVK3ShAgAkBGxIgEAAAAPJCk5RduOX0j/fakCOQkRACADI0gAAADAfUs7E6HdlI2K3HfW6HIAAC5AkAAAAID7cv3BihZJ3p781RIAMgP+bw8AAIB7xu0MAJB5ESQAAADgnhAiAEDmRpAAAAAAuxEiAAAIEgAAAGA3T4tFObJ6ESIAQCbmZXQBAAAAcB9enh6a0O4x7f+ntMoH+BpdDgDAAAQJAADgrlJSUhQbG6tz586l/7p48eJ/nvP333/r3Llz8vT0TH/cx8dHBQoUUIECBVSwYEHlz59f3t7erm4BDyApOUVz/jimLjUfkqeHRV6eHoQIAJCJESQAAJDJ2Ww2nTx5Urt379auXbt08OBBnT17VufOnUv/Z0xMjFJTUx02Z+7cuVWwYMEbAoYSJUqofPnyCgoKUqlSpW4II2CcpOQU9Z61Vav3ntWBs5f0bqtHjS4JAGAwggQAADKJmwODXbt2affu3dq9e7fi4uIkSdmyZVNgYKAKFSokf39/VaxY8T/f8Kf9u6+vrywWS/r4VqtVS5cuVdOmTW9YcZCQkHBDKHGrf9+yZYvmzZunCxcuSJKyZs2qcuXKKSgoSEFBQQQMBrk+RMjq5aGmj/obXRIAwAQIEgAAyKCSk5O1detWRUZGKjIyUhs2bLghMHjkkUdUvnx5PfXUU+nfrD/00EP3/Y26h4fHDb/S5MyZUzlz5lTJkiXv+Pk2m01nzpy5IeTYtWuXli5dmh4w+Pj4KDg4WCEhIQoJCVHNmjWVI0eO+6oXd3ZziMDBigCANAQJAABkEDcHB7///rsuXbqkHDlyqHbt2ho2bJgqVqz4wIGBs1gsFvn7+8vf318NGzZMf/z6gGHnzp3asGGDvvrqK7377rvy9vZW9erVCRYcjBABAHAnBAkAALixffv2afHixbcMDkaOHKmQkBAFBwe79eGGNwcMAwcOlM1m0549e9JDk1sFC82aNVONGjVuWB0B+wyYs40QAQBwWwQJAAC4mYMHD2rOnDmaP3++/v77b2XPnl1PPvlkhgkO7GGxWFS+fHmVL19effr0uW2wULRoUbVp00YdO3ZUtWrVbjjTAbfXJrio1h/8V192DiZEAAD8B0ECAABuIDY2VvPmzdPMmTO1YcMG5ciRQ0899ZTefPNNNWnSRNmyZTO6REPdHCykpKRo/fr1mjdvnubOnauJEyeqbNmy6tKlizp37qyHHnrI6JJNrWH5Qlr3an35ZcvYgRQA4P6w1g8AAJNKSkrSwoUL1bp1a/n7+6tfv37y8/NTeHi4zp49q/DwcLVq1SrThwi34unpqTp16ujzzz/XiRMn9Ouvv6pGjRoaO3asSpYsqTp16mjq1KnphzhmdknJKRr+4w4di0lIf4wQAQBwOwQJAACYzD///KPXX39dRYoUUevWrXX06FGNGzdOJ0+e1NKlS9WxY0dlz57d6DLdhqenp0JDQ/Xdd9/pn3/+0cyZM5UtWza99NJLKly4sF544QXt3r3b6DINk5Scoj6ztmrOn8fU7Zs/lZySanRJAACTY2sDAAAmceLECb300kuaPXu2vLy81KNHD/Xs2VNBQUFGl5Zh5MiRQ507d1bnzp116tQpzZw5U5999pmmT5+uZs2apR/kmFmkhQir/new4jtPV5CXJz9nAgDcGUECAAAGstls+v333/XBBx/ol19+kb+/v95880316tVLefLkMbq8DC0gIECvvvqqBg0apLlz52r8+PEKDQ1VYGCgLl++rPbt28vLK+P+VenmEIHbGQAA9iJyBgDAAMnJyZo/f75q1KihunXr6tChQ3r55Ze1f/9+vfbaa4QILpQlSxY999xz2r59u37++ef0VQuBgYH65JNPdOnSJaNLdDhCBADAgyBIAADAhZKSkjRp0iSVLVtW7dq1U86cObV06VJt27ZNDRo0UNasWY0uMdOyWCxq1KiR3nrrLf3xxx+qXbu2hgwZomLFimnEiBGKiYkxukSH+XD5PkIEAMB9I0gAAMAFUlNTNWfOHD3yyCPq37+/atSooaioKK1evVphYWGyWCxGl4jrVK5cWbNmzdKhQ4f0/PPP67PPPlPp0qU1btw4XblyxejyHlifeoGqXDw3IQIA4L4QJAAA4GRr1qxR9erV1alTJz366KPasWOH5syZo+DgYKNLw10UL15cH330kQ4ePKguXbpo1KhRKlu2rL799lulpKQYXd49uf4Qybw5sujH3rUIEQAA94UgAQAAJ9mzZ4+aNWum+vXry9PTU7/99psWL16s8uXLG10a7lHBggX12Wefac+ePapZs6a6deumypUra+XKlUaXZpek5BT1/C5Ks/84mv4Yq2AAAPeLIAEAAAe7dOmSXn31VVWsWFH79u3T/PnztWnTJtWpU8fo0vCAAgMDNW/ePG3atEm5c+dWaGio2rZtq+PHjxtd2m2lHay4cs9Zjfl5j87GJxpdEgDAzREkAADgIDabTfPmzVO5cuX02Wef6c0339TOnTvVpk0bfvqbwdSoUUO//fabwsPDtX79epUrV05jx47V1atXjS7tBjffzjCta1UV9PUxuiwAgJszPEh4//33Va1aNeXKlUsFCxZUy5YttW/fPqPLAgDgnhw/flyNGzdW+/btVb16de3Zs0cjR46Ujw/ftGVUFotFHTt21N69e/XSSy9p1KhRqlixojZt2mR0aZKkpORUrngEADiF4UHCb7/9pr59+2rTpk2KiIiQ1WpVo0aNdPnyZaNLAwDALnPmzNGjjz6qvXv3aunSpfrxxx9VokQJo8uCi/j6+uqjjz7Stm3blDt3btWuXVtvvvmmrFarYTUlp0ovz91GiAAAcArDg4Tly5erW7duCgoK0mOPPaZvvvlGx44d05YtW4wuDQCAOzp//rw6deqkTp06qVmzZvr7778VFhZmdFkwSIUKFbRu3TqNHj1aY8aMUe3atXXgwAFDatkWY9Gaff8SIgAAnMLL6AJuFhcXJ0nKmzfvbZ9jtVoNTfkfRFrd7lq/RA9mQQ/mQA/mYEQPa9as0QsvvKCLFy/qu+++U4cOHR6oBnd5HS5evKhTp07p9OnT6X9mp0lJSdG2bduUmJgoT0/P9MezZ8+uwoULKyAgQHnz5jX1eRGOeB2GDx+uBg0aqFu3bqpUqZI+/PBD9ejRw2V9W61WBee3KU/Rkgp+KK+ql/Az/fvqZu7y9XAn9GAO9GAO9GAOjqzdYrv+UmGDpaam6qmnntKFCxe0bt26/3w8Pj5efn5+Cg8PV/bs2Q2oEACQ2VmtVs2aNUuLFy/Wo48+qv79+6tAgQJGl+UQycnJOnbsmI4fP67z588rNjb2P/9MTHywE/+9vLyUJ08e5c2b9z//DAgIUMmSJTPMuRKJiYmaMWOGVqxYoapVq6pfv37KnTu30+ZLTpVSbFJWz7s/FwCQ+SQkJKhTp06Ki4uTr6/vA41lqiChd+/eWrZsmdatW6eiRYv+5+NpQcLp06eVL18+Ayp8cFarVREREQoNDZW3t7fR5dwXejAHejAHejAHV/WwY8cOde3aVfv379eYMWPUv39/eXg4Zpegq18Hq9WqXbt26a+//tLWrVu1detW/f3330pKSpIk5cqVS/7+/goICEhfTeDv75/+74ULF1aePHlu+Cm71WpVZGSkQkJCbujh0qVLOnPmTPpKhlv9iomJkSR5eHjo4YcfVnBwsKpUqaIqVaroscceU44cOZz+3yStB0e/Dr/88ot69eolm82mKVOmqHnz5g4Z93pJyal6ee42JVxN0aT2j2r9b6v5mjYYPZgDPZgDPZhDTEyM/P39HRIkmGZrQ79+/fTzzz9r7dq1twwRruft7e22L14aejAHejAHejAHeri91NRUffzxxxoxYoQefvhhbd68WRUrVnT4PJLzejh27JhWrlypqKgobdmyRdu3b1dSUpI8PDxUrlw5BQcH69lnn1XVqlX16KOP3tdfMKxWq3x9fVW4cOH/9BAYGHjHz01MTNTevXu1ZcsWbdmyRVFRUZo/f/4NNVatWlXBwcGqW7euKlas6NStAo58HVq2bKlatWqpR48eat26tXr27KkJEyYoZ86cDhk/KTlFA77fln4mwuHYa6tG+Jo2B3owB3owB3owliPrNjxIsNlsevnll7Vw4UJFRkaqZMmSRpcEAEC62NhYtW/fXqtWrdLgwYM1ZswYt1h6b7PZtHPnTs2fP1+LFy/W33//fUNo0KlTJ1WtWlWVKlVy2U/778THx0eVKlVSpUqV9MILL0j6/1UTacHCli1b9P333yspKUnFixdXixYt1KZNGz355JM3nMlgRgULFtTixYs1bdo0DRo0SGvWrNHixYtVvnz5Bxo3KTnlP1c8Virmp1M7HFQ4AAC3YHiQ0LdvX4WHh2vx4sXKlSuXzpw5I0ny8/NTtmzZDK4OAJCZHTt2TE2aNNHZs2cVERGhBg0aGF3SHaWFB/PmzdP8+fO1b98+5c6dW82bN9fIkSPVuHFj+fn5GV2m3by9vf8TLiQlJWnt2rVasmSJFi9erEmTJqlQoUJq3bq12rVrZ+pQwWKxqGfPnqpXr55at26tJ554Qj/99JOefPLJ+xrvViHCE4H53fogMACAezD8+sfJkycrLi5OISEh8vf3T//1/fffG10aACAT2759u2rWrKnExERt2LDB1CHCjh079Prrr+uRRx5RxYoV9fnnn6tmzZpaunSp/vnnH82cOVPt2rVzqxDhdrJmzarQ0FB9+umnOnLkiDZt2qTOnTvrl19+Ub169VSkSBH16dNHkZGRSklJMbrcWwoMDNTvv/+uypUrKzQ0VAsWLLjnMW4XIgAA4AqGBwk2m+2Wv7p162Z0aQCATGrVqlV68sknVbhwYW3YsEFly5Y1uqT/SElJ0Y8//qjatWvfMjyYMWOGwsLClCVLFqNLdRqLxaIaNWpo/PjxtwwVypUrp0mTJuny5ctGl/offn5+WrZsmVq1aqV27drp008/vafPPx57RVFHzxMiAAAMYXiQAACAmYSHhyssLEy1atVSZGSkChcubHRJN7h48aI++eQTlSlTRs8884w8PT31448/Zprw4HZuDhXWr1+v4OBgDRgwQMWKFdNrr72mEydOGF3mDbJmzarZs2dryJAhGjBggF555RWlpqba9bmBBXNqdo8ahAgAAEMQJAAAoGsr5D788EM9++yz6tSpk5YsWaJcuXIZXVa6Y8eOadiwYSpatKiGDh2qWrVqKSoqSr/99ptatWqVKcOD27FYLKpVq5bmzp2rQ4cO6YUXXtDkyZNVsmRJde7cWVu2bDG6xHQeHh768MMPNXHiRI0fP16dO3dOv4LzZknJKdp7Jj799xWK+BEiAAAMQZAAAMj0UlJS0n8iPGrUKM2YMcM0Vzv9+eef6tChg0qVKqVp06apd+/eOnz4sGbNmqXg4GCjyzO94sWL68MPP9SJEyc0fvx4rV+/XlWrVlXdunW1ePFi05yjMGDAAM2bN08//vijmjZtqri4uBs+npScot6ztqrN5I3acjTWoCoBALiGIAEAkKklJiaqffv2mjRpkr788ku98847slgsRpeltWvX6sknn1SNGjUUFRWliRMn6vjx4xo7dqyKFi1qdHluJ1euXBowYICio6O1YMECJScnq2XLlipXrpxmzZpl95YCZ2rTpo1+/fVXbd26VXXq1NHJkycl/X+IsHrvWVlTUpVoNb5WAEDmRpAAAMi0YmNj1ahRIy1dulQLFy5Ur169jC5J+/fvV6tWrVS3bl1duXJFixYt0r59+9SvXz/lzJnT6PLcnqenp5555hmtX79emzZtUoUKFdSlSxdVq1ZNkZGRRpenOnXqaN26dTp//rxq1qyp7Tt2pYcIHKwIADALggQAQKZ07tw5hYSEaPfu3Vq1apWeeuopQ+v5999/9dVXX6lSpUraunWrZs+erT///FNPP/20PD09Da0to6pRo4YWLlyo33//XV5eXqpXr55atWpl+KGMQUFB2rhxo/zy5lPT9xYSIgAATIcgAQCQ6cTGxqpBgwY6e/as1q5dq5o1axpWS3Jysj7++GOVK1dOkZGReuutt7Rv3z516tRJHh78Me0KtWvX1qZNmzRnzhzt3LlT/fv318CBA/9zToEr5S9UWJX6TpJ3icqyJV/VyCfzEiIAAEyDv6EAADKVxMREPf300zp16pRWr16t8uXLG1ZLVFSUqlevriFDhqhjx46aPHmyhg0bJh8fH8NqyqwsFos6dOigHTt2qEuXLvruu+/0yCOPaMGCBbLZbC6vx2aTvLy8lNXLQ77bZmv486117Ngxl9cBAMCtECQAADKNlJSU9Ov/fv75Z8NChPj4eA0YMEA1atSQzWbTpk2b9Nlnn8nPz8+QevD/fHx81KpVK23fvl01atRQ27Zt1aJFCx05csS1dXh7anLnYM1/qaYiZn2uLFmyqEmTJoqN5cYGAIDxCBIAAJmCzWbTwIEDtXDhQs2dO1ePP/64IXWsW7dOQUFBmjZtmj788ENt3rxZ1atXN6QW3F6xYsW0cOFCLVy4UNu3b1dQUJC+/vprp65OSEpO0bzNx9Pn8PH2VMWiuVW4cGEtX75cZ8+e1dNPP63ExESn1QAAgD0IEgAAmcKHH36ozz//XF988YUhByumpqZq7NixCgkJUalSpbR7924NHjxYXl5eLq8F9mvZsqV2796tZ599Vj169FDXrl116dIlh8+TlJyiPrO26pUf/tYHK/b95+MPP/ywlixZoqioKHXu3FkpKSkOrwEAAHsRJAAAMrzZs2fr1Vdf1ahRowy54vHcuXNq1qyZRowYoddee02rVq1SiRIlXF4H7k+uXLn01Vdfafbs2Vq4cKGqVaumnTt3Omz8tBBh1f9uZ6h9m0MVa9asqblz52rhwoUaNGiQIWc3AAAgESQAADK4VatWqXv37urWrZvefvttl8+/bt06Va5cWVu2bNHy5cs1ZswYViG4qU6dOikqKkpZsmRR9erVNX369Af+Zv7mEOFuVzw+/fTTmjRpkj777DONHz/+geYGAOB+ESQAADKs7du3q1WrVqpfv76++uorWSwWl819/VaG0qVLa9u2bWrUqJHL5odzPPzww9q0aZO6dOmiF1544YG2OtxriJDmpZde0siRI/XKK68oPDz8vuYGAOBBECQAADKko0ePKiwsTGXKlNGCBQvk7e3tsrlvtZUhICDAZfPDubJly6YpU6Y80FYHm82mfuF/3XOIkOadd95R165d1a1bN61atepeWwAA4IEQJAAAMpzY2Fg1adJEPj4++uWXX5QzZ06Xzc1WhszjQbY6WCwWNX20sLJn8bznECHt86dOnar69eunX1cJAICrECQAADKUlJQUtW3bVufOndPy5ctVuHBhl839ySefsJUhk7l5q8Pzzz8vq9Vq1+e2qlxUv79S755DhDTe3t6aP3++ypQpo2bNmunff/+9r3EAALhXBAkAgAzlo48+0po1azR//nyVLVvWZfO+//77GjhwoAYNGsRWhkwmbavDd999p9mzZ6tDhw63DBOSklP05k+7dDY+Mf2xfDmzPtDcuXLl0k8//aTExET16tWLmxwAAC5BkAAAyDC2bdumUaNGaejQoapXr57L5n3//fc1YsQIvfnmm/rwww/ZypBJdenSRT/88IOWLFnynzAh7WDFbzYcUfdvNis11XHf8BcpUkRfffWVfvzxR3377bcOGxcAgNshSAAAZAhXr15Vt27dVL58eb3zzjsum/f6EOGNN95w2bwwpxYtWvwnTLj5doYRTR+Rh4djbxBp3bq1unXrpv79++vw4cMOHRsAgJsRJAAAMoSZM2fq4MGDmjVrlrJmfbDl4vYiRMCtXB8mtOvYSS/NjLrv2xnuxSeffKJ8+fKpe/fuSklJccocAABIEmsvAQBub9WqVVqyZInGjx+vChUquGTOzBgipKSk6NixYzpw4ICio6N19uzZ/3z8wIEDioqKkqenZ/rjvr6+CgwMVJkyZVSqVCmXBT1GatGihebO/0F9Zm2Rz75/nR4iSNf+O8+cOVN169bVwoUL1aJFC6fNBQDI3AgSAABuLTY2Vj169FDFihXVr18/l8yZkUMEm82mI0eOpIcF1//z0KFD6fv+vby8VLBgQVksNy7RT0xM1Lp162547Pz580pISJB07drC4sWLq0yZMunhwvX/9Pb2dk2jLvCXraR8SnvIlpyk4idWq3qJhk6fs3bt2ho2bJjGjx+vfv36qUaNGk6fEwCQ+RAkAADcls1mU58+fXT58mW99dZb8vBw/o69jBgixMXFKSIiQsuWLdPy5ct16tQpSdfCglKlSqlMmTJq0qTJDd/0Fy9e/D+HSlqtVi1dulRNmza9IRCw2Ww6ffr0f8KJDRs26LvvvksPGXx9fdWwYUOFhYUpLCxMRYoUcd1/BCfoU6+0Nh+JVcN8qRrx6VfqcOW05s6d6/Sw5PXXX9f8+fPVtWtXbd26VdmzZ3fqfACAzIcgAQDgtsLDw/X9999r1qxZypkzp9Pnyyghgs1m099//62lS5dq2bJl2rBhg1JSUlS+fHl17NhR9evXV7ly5W4ZFtwPi8WigIAABQQEqG7duv+p5fTp09q/f7/WrVunZcuWqVevXkpNTdWjjz6qsLAwNW3aVLVq1XKL1Qo2my19lYa/Xzb90v9JeXpY9HDuH/TMM8+oQ4cOTg8TsmTJokGDBmnYsGF69dVX9dlnnzltLgBA5sRhiwAAt3T06FH16dNHzz77rNq1a+f0+dw9REhMTNQPP/ygF154QUWLFlWlSpX07rvvKk+ePPr888915MgR7dq1S+PHj1fTpk1VqlQpl1xjmRYyhISEaNSoUVq/fr3OnTunOXPmqHLlyvrmm28UEhKi/Pnz65lnntG0adP077//Or2u+5GUnKJeM7doyfZT6Y95/u92hlvd5uBMxYoV09ixY/X5559r+fLlTp0LAJD5ECQAANyOzWbT888/r9y5c+vzzz93+nwTJ0502xDh4sWLGjt2rIoVK6Y2bdpo48aN6tChg1auXKmYmBgtXrxYL730kkqUKGF0qeny5s2rDh066Ntvv9Xp06cVFRWloUOH6vTp0+rVq5eKFi2qfv366cSJE0aXmi7tisdfd/+j1374W7GXr/7nOdeHCV26dJHNZnNqTb1791aTJk3UvXt3XbhwwalzAQAyF4IEAIDbmTt3rlavXq2pU6cqd+7cTp1r7dq1GjJkiIYNG+ZWIUJagFCyZEmNHj1abdq00b59+7R792599NFHatCggVvcnuDh4aHg4GC9/vrr2rBhg86cOaNRo0Zpzpw5Kl26tCkChbQQIe2Kx6+eq6q8ObLc8rktWrTQnDlz9P333+vjjz92al0Wi0XTpk3TpUuX3Oq9CwAwP4IEAIBbuXjxooYMGaJnnnlGjRo1cupcZ8+eVceOHVWnTh29//77Tp3LUW4OENq1a6eDBw9q8uTJKlu2rNHlPbACBQpo1KhROnz4sN544w3DA4WbQwR7rnh85pln0s8v2LRpk1PrK1KkiN544w19/vnn2r59u1PnAgBkHgQJAAC38tZbbykuLk4TJkxw6jypqanq0qWLkpOTFR4eLk9PT6fO96BuFyB88cUXKlasmNHlOZyvr69GjBhhaKBwPyFCmnfffVfVqlVT+/btFRsb69Q6BwwYoHLlyqlv375O304BAMgcCBIAAG5j165dmjhxokaNGqXixYs7da6xY8cqIiJCs2bNkr+/v1PnehCJiYmZKkC42Z0ChX/++cepc/+w5eR9hQiS5O3trblz5+rSpUvq1q2bU7/B9/b21ueff67169dr5syZTpsHAJB5ECQAANzGkCFDVKpUKQ0ePNip86xdu1avv/66Ro0apdDQUKfO9SD++OMPValSJVMGCDdLCxSOHDmiN998U3PmzFH58uU1Z84cp32T3rF6MfWoXfKeQ4Q0xYsX17fffqslS5Y4/byEevXqqX379nrttdd0+fJlp84FAMj4CBIAAG5h5cqVWrFihcaNG+fUQwKvPxfBrAfUJSYm6tVXX1WtWrWUM2dO/fXXX5k2QLhZrly5NHz4cO3du1cNGzZUp06d1Lp1a505c8Yh4yclp+hqcqqka4cZjmpe/r5ChDTNmzd32XkJ77//vmJiYpweWgAAMj6CBACA6aWmpuqVV15RrVq11LJlS6fOY/ZzEdJWIUycOFHvvvuuNmzYoKCgIKPLMp0CBQro+++/1/z587V+/XoFBQU98OqEpOQU9Z61VX3Dt6aHCY7gqvMSSpYsqb59++qDDz7Q2bNnnTYPACDjI0gAAJjenDlz9Ndff+mDDz6QxWJx2jxmPhfh5lUIW7du1WuvvSYvLy+jSzO1Nm3aaNeuXQ+8OiEtRFi996zW7j+n/f9cdFiNrjwvYeTIkfLw8NA777zjtDkAABkfQQIAwNQSExM1cuRItWzZUk888YTT5jHzuQisQngwD7o64foQIe1gxQpF/Bxao6vOS8iXL5+GDx+uL7/8UgcOHHDaPACAjI0gAQBgalOmTNGJEyf0/vvvO22OuLg4derUyXTnIthsNo0dO5ZVCA5y8+qELl26KCEh4Y6fc6sQ4UHORLiT689L2LZtm1PmkKT+/furcOHCGj16tNPmAABkbAQJAADTslqtmjBhgjp06KBy5co5bZ6RI0cqLi5O3333nWnORUhMTFSHDh00fPhwDR8+nFUIDpK2OmH27Nn68ccfVbt2bZ04ceKWz3VliJDm3XffVbly5fTiiy8qJSXFKXNky5ZNr732mubNm6fDhw87ZQ4AQMZmeJCwdu1atWjRQgEBAbJYLFq0aJHRJQEATGLBggU6duyYhg0b5rQ5/vjjD33xxRcaM2aMaW49SExMVKtWrfTTTz/phx9+0JgxY1iF4GCdOnXSxo0bFRMTo5CQkFuGCdFnL2njwRiXhQjStfMSpkyZos2bN2vy5MlOm6dbt27KnTu3Jk6c6LQ5AAAZl+FBwuXLl/XYY49p0qRJRpcCADARm82m8ePHKzQ0VI899phT5rBarXrxxRdVpUoV9evXzylz3Ku0ECEyMlI///yzWrdubXRJGdZjjz2m3377TcnJybcME4IC/PRN92r6uqtrQoQ0tWrVUq9evTRixAidPHnSKXPkyJFDffv21ddff+3UmyIAABmT4UFCWFiYxowZo1atWhldCgDARCIjI7V161YNHTrUaXN88skn2rlzp6ZMmWKKLQ1Xr15V27Zt00OEBg0aGF1ShvfQQw8pMjIyPUw4dPSYzl35/4/XKJVPtcu4LkRI8/777yt79uwaMGCA0+bo27evkpOTNWXKFKfNAQDImNxynaTVapXVajW6jPuSVre71i/Rg1nQgznQg/N88MEHevTRRxUSEnLX2u6nh7Nnz+rtt99W7969VbFiRcP7v3jxosaOHavdu3dr0aJFqlOnjuE13SuzvpfupkiRIoqIiFBo4zA1fnuBshcrr6o1ziuoaB7DasqZM6fGjRunbt26aeXKlapbt67dn2vv65A3b1516dJFn376qV5++WVlzZr1gWp2JHd9L12PHsyBHsyBHszBkbVbbM68rPgeWSwWLVy4UC1btrzlx+Pj4+Xn56fw8HBlz57dtcUBAFzm6NGjGjBggAYMGKB69eo5ZY4pU6Zo7dq1mjx5snx9fZ0yh72uXr2qsWPHaufOnRo5cqTTtnLg9pJTpck7rIpOyCZb8lV1KXFJ1Yob+76w2Wx65ZVXlJqaqg8//FAeHo5fSHry5En169dPffv2VcOGDR0+PgDAPBISEtSpUyfFxcU98N993HJFQr169ZQvXz6jy7gvVqv12k89QkPl7e1tdDn3hR7MgR7MgR6co2fPnipSpIjee+89u2q61x727NmjX3/9Ve+99546dOjgiJLvW2Jiotq2bavdu3dr5MiRGjp0qGleh3tlxveSPZKSU/Xy3G2KTvhXWTwtil82UXMundALK1eqaNGihtbm5+en+vXrKy4uTs8++6xdn3Ovr8Py5cu1cuVKjR8/3ilhxf1w1/fS9ejBHOjBHOjBHGJiYhw2llsGCd7e3m774qWhB3OgB3OgB3MwSw+nTp1SeHi43nvvvXtefWZvD6NGjVKxYsU0YMAAQ3tOTExUu3bt9Ntvv2nRokVKTEw0zevwINyph6TkFA34fpvW7PtXWb089FXnytpX4lm99957Cg0NVWRkpKFhQr169dSqVSuNHj1a7du3V7Zs2ez+XHtfh1deeUVPPvmkVq5cqWbNmj1IuQ7nTu+l26EHc6AHc6AHYzmybnPEzgAA/M9nn30mHx8f9ezZ0ynjr1mzRkuWLNHYsWMN3RN+8+0M9evXN6yWzCopOUV9Zm3Vqr1n0694rFU6nwoVKqSIiIjb3ubgauPGjdPp06f1ySefOGX8J554QjVq1ND48eOdMj4AIOMxPEi4dOmStm3bpm3btkmSDh8+rG3btunYsWPGFgYAcLnExER9+eWXevHFF+Xn5+fw8W02m0aMGKHq1aurXbt2Dh//Xuro0qULtzMYLDnFpvhEa3qIcP0Vj9ff5tCoUSPFx8cbVmeZMmXUp08fvf/++4qLi3P4+BaLRcOGDVNkZKS2b9/u8PEBABmP4UFCVFSUKleurMqVK0uSBg8erMqVK2v06NEGVwYAcLUlS5bowoULevHFF50y/saNG7Vp0ya9/vrrslgsTpnDHmPHjtWCBQsUHh5OiGCgHFm9NKN7dc158fEbQoQ0Dz30kFasWKGTJ0/queeeU2pqqgFVXvPqq6/qypUr+vrrr50y/lNPPaUCBQrou+++c8r4AICMxfAgISQkRDab7T+/vvnmG6NLAwC42MyZM1W9enWVLVvWKeN//PHHKlu2rJo2beqU8e2xceNGjRo1SiNHjlSrVq0MqyOzSkpO0c9/n0r/fc6sXqpS/PbXPD788MOaNWuWFi9erM8//9wVJd5SQECAOnTooE8//VTJyckOH9/b21sdO3ZUeHi4U8YHAGQshgcJAABI0rlz57Rs2TJ16dLFKeMfPnxYP/74owYNGmTYyfRXrlxR9+7dVbVqVb355puG1JCZpZ2J0C/8L33520G7P69Fixbq27evXnvtNUVHRzuxwjsbNGiQjh49qoULFzpl/C5duujMmTNatWqVU8YHAGQcBAkAAFP4/vvvJclp1zF++umnyp07t5577jmnjG+P0aNH68iRI/rmm2/k5eWWFye5rZsPVny0yL2dwTF27FgVLlxYzz//vGFbHCpXrqx69eppwoQJThk/ODhY5cqV08yZM50yPgAg4yBIAACYwsyZMxUWFqb8+f+7V/1BxcXFadq0aerdu/c9XynpKBs3btRHH32kt99+W4888oghNWRWt7qd4VZnItxJzpw5NX36dP3++++GbnEYPHiwNm3apI0bNzp8bIvFoi5dumjhwoW6dOmSw8cHAGQcBAkAAMPt27dPf/75p9O2NXz99ddKSkpS3759nTL+3aRtaahWrZoGDx5sSA2ZlSNChDQhISGGb3Fo2rSpypYtq48//tgp4z/77LNKSEjQjz/+6JTxAQAZA0ECAMBwc+bMka+vr1q0aOHwsZOTk/XJJ5+oY8eO8vf3d/j49mBLgzFSU23qO9sxIUIao7c4eHh4aODAgfrhhx905MgRh49fokQJ1a1bV7Nnz3b42ACAjIMgAQBgKJvNpnnz5unpp5+Wj4+Pw8f/8ccfdezYMQ0aNMjhY9uDLQ3G8fCw6InA/PLxdkyIIJlji8Nzzz2n3Llz69NPP3XK+O3atdOqVasUExPjlPEBAO6PIAEAYKhdu3Zpz549ateuncPHttls+uijj1S/fn1VqlTJ4ePfDVsajNf9iZKKHFrPISFCGqO3OOTIkUMvvfSSpk2bpri4OIeP37p1a9lsNi1atMjhYwMAMgaCBACAoRYtWqRcuXIpNDTU4WNv27ZNf/75pwYOHOjwse0xYcIEHT58mC0NLpSUnKL3l+5RXII1/bHCfo5f6ZK2xcGolS59+/bVlStXnLIFoXDhwnryyScJEgAAt0WQAAAwVGRkpOrWrausWbM6fOx58+YpX758CgsLc/jYdxMfH6+PPvpIvXr1YkuDiyQlp6j3rK2asvaQen4XJZvN5rS5cubMqTFjxujnn39WVFSU0+a5nYCAADVs2FDz5s1zyviNGjXS2rVrlZyc7JTxAQDujSABAGCYpKQkbdiwQSEhIQ4fO+3shdatWxuyGuCzzz5TQkKCXn31VZfPnRmlhQir/3ew4oCGZWSxWJw6Z/v27fXwww/rrbfecuo8t9O2bVutXbtWZ86ccfjYISEhio+P17Zt2xw+NgDA/REkAAAMs3nzZl25csUpQcJff/2lQ4cOqW3btg4f+27SViO8+OKLKlKkiMvnz2xuDhEcdbDi3Xh6emr06NGGrUpo2bKlPD09nXJVY9WqVZU9e3ZFRkY6fGwAgPsjSAAAGCYyMlK+vr5OOQhx/vz5ypcvn+rVq+fwse+G1QiuY1SIkMbIVQl58+ZVgwYNnLK9IUuWLHriiScIEgAAt0SQAAAwTGRkpOrUqSNPT0+HjmvktgZWI7jW6EW7DAsRJONXJbRr186p2xt+//13zkkAAPwHQQIAwBDOPB/ByG0NrEZwrV51S6lEvuyGhAhpjFyV4MztDZyTAAC4HYIEAIAhnHk+glHbGliN4HqlCuTUysF1DQsRJGNXJThzewPnJAAAbocgAQBgCGeej7B48WI99dRTLt/WwGoE50tKTlGf2VsUue9s+mPensb/dcbIVQmtW7fWunXrFBsb69BxOScBAHA7xv/JCwDIlJx1PkJ0dLT27NmjFi1aOHTcu0lISNCECRPUs2dPViM4SdrBikt3nNGAudsUn2g1uqR0np6eev311/Xzzz+7fCtA8+bNlZKSomXLljl8bM5JAADcCkECAMDlUlNTtWnTJj355JMOHzsiIkJeXl4KDQ11+Nh38tNPPyk2NlaDBg1y6byZxc23M3zxbBX5+ngbXdYN2rdvr4CAAM2YMcOl8wYEBKhSpUqKiIhw+NhPPvmk4uPjtXv3boePDQBwXwQJAACXO3r0qC5fvqyKFSs6fOyoqChVqFBBOXPmdPjYd7J06VJVrFhRpUqVcum8mYHRVzzay8vLS82bN3fKyoC7qVGjhlPOZ3j00UclSbt27XL42AAA90WQAABwubRvSoKCghw+9pYtWxQcHOzwce8kNTVVy5cvV1hYmEvnzQzcJURIExYWpgMHDujgwYMunbdq1aras2ePLl++7NBxc+fOrYCAAIIEAMANCBIAAC63a9cu5cqVS0WLFnXouImJidq1a5fLg4StW7fq3LlzBAlOMHPjUbcJESSpQYMG8vb2dvmqhODgYKWmpmr79u0OHzsoKIggAQBwA4IEAIDL7d69W+XLl5fFYnHouDt27FBycrKqVq3q0HHvZtmyZfL19VWtWrVcOm9m0K3WQ2pXtahbhAiSlCtXLj355JMuDxKCgoKUJUsWbdmyxSljc0YCAOB6BAkAAJfbtWuXU7Y1bN26VV5eXun7ul1l6dKlCg0Nlbe3uQ7/c1dXk1OVkmqTJHl5euiDNo+5RYiQJiwsTKtXr9aVK1dcNmeWLFlUsWJFp5yTUL58eUVHRysxMdHhYwMA3BNBAgDApVJTU7Vnzx6nBQkVKlSQj4+Pw8e+nZiYGP3xxx9sa3CQa2cibNGrP/ydHia4m7CwMCUmJuq3335z6bxVq1Z12oqE1NRU7du3z+FjAwDcE0ECAMCljh49qoSEBJUvX97hY2/dutXl5yP8+uuvstlsatKkiUvnzYiSklPUZ9ZWrdp7Vku2n9KBsxeNLum+lC9fXsWKFTPknARnHLiY9rXK9gYAQBqCBACASznrxoarV68actDismXLVLFiRRUpUsSl82Y014cIaQcrlivsa3RZ98VisSgsLMywAxf//vtvh47LzQ0AgJsRJAAAXMpZNzYcOXJEycnJLg0SuPbRMW4VIrjTmQi3YsQ1kGkHLm7dutUpYxMkAADSECQAAFwqOjpaZcuWdfiNDcePH5cklx60eODAAZ07d04NGjRw2ZwZTUYMESSlvyfWrVvnsjmzZMmi8uXLO+Ub/ocffljR0dEOHxcA4J4IEgAALnX27FkVKlTI4ePGxsYqf/78ypYtm8PHvp0DBw5Ikh555BGXzZnR7DwZr7UHzmWoEEG6dg1kkSJF0t8jrlK0aFGdPn3a4eMWLFhQ586dc/i4AAD35GV0AQCAzOXcuXMqW7asw8c9f/68Chcu7PBx7yQ6OlrZsmVTQECAS+fNSIJL5NGXnYPl4+2ZYUKENGXKlHH5T/H9/f2dcnNDwYIF9e+//yo1NVUeHvwcCgAyO/4kAAC41Llz51SwYEGHjxsbG+vyb+gPHDig0qVL843VPUpKTtGpC1fSf9/gkUIZLkSQpMDAQJevSAgICNCZM2ccPm6BAgWUkpKi8+fPO3xsAID74W8+AACXOnv2rAoUKODwcc+fPy9/f3+Hj3sn0dHRKlOmjEvndHdpZyK0mbxBx2ISjC7HqdJWJNhsNpfNmRYkpKSkOHTctK9ZtjcAACSCBACACyUlJSk+Pt4pQUJsbKzLtzYcOHBAgYGBLp3TnV1/sGLM5as6ed2qhIwoMDBQ8fHxLv3m29/fX6mpqYqLi3PouGmriM6ePevQcQEA7okgAQDgMmnfUDl6a4PNZtP58+ddurXh6tWrOnr0KCsS7HSr2xlqls5ndFlOlfbecOX2hrSvAUdvQWBFAgDgegQJAACXSfsmxNErEmJiYpScnOzSrQ2HDx9WamoqKxLskFGveLyb0qVLS5JLD1xMCxJiY2MdOm7u3Lnl6elJkAAAkESQAABwIWcFCWnX3bkySEj7KTMrEu4ss4YIkpQ9e3aXXwFZsGBBeXh4OHxFgoeHhwoUKMDWBgCAJK5/BAC4UNo3IRkhSIiOjpaPj0/mvvrxwAHp4sX//31ysvwOHpT++kvyuvZXjCtJqTp1Ni7ThQhpAgMDXboiwdPTU4UKFXL4igTp2tctKxIAABJBAgDAhS5evChPT0/lyJHDoeNeuHBBkpQnTx6Hjnsn//zzj/z9/TPv1Y8HDkhly6b/9lh2PzXpMUVXspRWttmHtXxaLxVPiFNuSbOz+ergit9VLZOFCNK1rQanTp1y6Zx58uTRpUuXHD6un5+f4uPjHT4uAMD9mCJImDRpkj788EOdOXNGjz32mD777DNVr17d6LIAAE5gsVjccmwzzGcqaSsRZs1S4I7cSr7uQwnZcqrOy7PlJSn60QvK27mz8uZIvtUoGZ4RQZOz3peZ+v0OALiB4T9G+f777zV48GC98cYb2rp1qx577DE1btyYPXgAALiBm0OE6yX/7+MAACBjMTxImDBhgnr27Knu3burfPny+vLLL5U9e3ZNnz7d6NIAAMAdHMvud9sQIU3y/54HAAAyDkO3Nly9elVbtmzR8OHD0x/z8PBQw4YNtXHjxtt+ntVqldVqdUWJDpdWt7vWL9GDWdCDOdDDvUlJSXHKXNeP66rXwtG9uN17KTlZTXpMseupTXpM0fbkZMkNenP065CamiqbzebS19Vms0ly/HvJZrMpNTXVJb243dfDLdCDOdCDOdCDOTiydkODhH///VcpKSkqVKjQDY8XKlRIe/fuve3nrVmzRtmzZ3d2eU4VERFhdAkPjB7MgR7MgR7ss3PnTtlsNi1dutSh4+7YsUOStHr1amXLls2hY9/OoUOHdPnyZYf34i7vJb+DB3UlS2m7nnsli4/Wr1unuP/druEOHPU6nDp1SjExMQ5/n9xJ2kGLjn4vxcbGytvb26W9uMvXw53QgznQgznQg7ESEhIcNpYpDlu8V/Xq1VO+fPmMLuO+WK1WRUREKDQ0VN7e3kaXc1/owRzowRzo4d4cP35cFotFTZs2dei4cXFxkqT69eu77OaG9evX66+//nJYL273XvrrL2WbfVgJ2XLe9anZribqidq1pcqVXVDYg3H06/D999/LZrM5/D1/JyNGjJAkh7+Xxo8fryJFirikF7f7ergFejAHejAHejCHmJgYh41laJCQP39+eXp66p9//rnh8X/++UeFCxe+7ed5e3u77YuXhh7MgR7MgR7MwRU9eHp6ps/lrHFd9To4qxe3eS95eWn5tF6q8/Lsuz51+bRe8u66WnKHvv7HUa+Dh4eHLBaLS1/TtNsVHP1eslgs8vDwcGkvbvP1cAf0YA70YA70YCxH1m3oYYtZsmRRcHCwVq1alf5YamqqVq1apZo1axpYGQAAuJviCXF3/YmE1/+eBwAAMg7Db20YPHiwpk6dqm+//VZ79uxR7969dfnyZXXv3t3o0gAAwF1EP3rhtmGC1/8+DgAAMhbDz0ho3769zp07p9GjR+vMmTOqVKmSli9f/p8DGAEA7i9r1qxKTk7W1atXlSVLFoeNm3bA4qVLl1x2RkKuXLl0/vx5l8xlSrlyXftn586K1rUrHpv0mKIrWXyU7Wqilk/rdeNKhLTnZzKxsbHK5eLeL1++rKxZszp83ISEBPn4+Dh8XACA+zE8SJCkfv36qV+/fkaXAQBwsoIFC0q6dmtPQECAw8ZNG+v06dMqVqyYw8a9k8DAQJ0/f16xsbHKmzevS+Y0lTJlpP37pYsXJUnFJW1PTtb6dev0RO3a185ESJMr17XnZ0LR0dFq3ry5y+az2Ww6deqUQkNDHT722bNn07+GAQCZmymCBABA5lCgQAFJ0rlz5xwaJKQd0HvmzBmHjXk3Zf73jfGBAwdUo0YNl81rKjeHA1brtSseK1d2q4MVnSU5OVmHDx9Of6+4wvnz53X16lWHr8yx2Ww6d+5c+tcwACBzM/yMBABA5pH208xz5845dNxChQrJYrHo9OnTDh33TgIDAyVd+4kzcCtHjx5VcnJy+nvFFU6dOiVJDl8lc/nyZSUmJhIkAAAkESQAAFwo7ZuQs2fPOnRcLy8v+fn5pX8T5Qq5cuVSoUKFdODAAZfNCfeS9t5w5YqEtK8BR69ISPuaJUgAAEgECQAAF8qRI4d8fHwcviJBuvYTWFdubZCufYPIigTcTnR0tLJkyeKyczskpa/KcfSKhLSvWc5IAABIBAkAABeyWCwqWLCgU4KEPHnyuHRFgnRtewMrEnA7Bw4cUKlSpeTp6emyOU+dOqW8efPK28FnVKR9zbIiAQAgESQAAFysQIECDt/aIF37Cawrz0iQWJGAO4uOjnbptgbpWpDg7+/v8HHTvmbz58/v8LEBAO6HIAEA4FLOWpFgxNaGwMBAxcbGKjY21qXzwj0cOHDApQctSte2NjjyRpQ0586dU548eRy+0gEA4J4IEgAALuWsFQl58uTRmTNnlJKS4vCxb+f6KyCB6xlx9aN0bUVC2nWojsTVjwCA6xEkAABcqnjx4jp8+LDDx/X391dKSopLtxqUK1dOPj4+WrduncvmhHv4448/lJycrMqVK7tsTpvNpj179qh06dIOH/vQoUMqXry4w8cFALgnggQAgEsFBQXp9OnTOn/+vEPHLVWqlCQpKirKoePeSbZs2VSvXj0tW7bMZXPCPSxbtkz58uVTtWrVXDbnoUOHdOHCBQUHBzt87F27dikoKMjh4wIA3BNBAgDApdK+Gdm1a5dDx82VK5dKliypLVu2OHTcuwkLC9PatWt16dIll84Lc1u2bJkaN27s0hsb0t77VapUcei4iYmJio6OJkgAAKQjSAAAuFTZsmXl6emp3bt3O3zsKlWqGBIkWK1WrVq1yqXzwrzOnDmjrVu3KiwszKXzbtmyRcWKFXP4WQb79+9Xamqqypcv79BxAQDuiyABAOBSWbNmVWBgoMNXJEjXgoS//vpLqampDh/7dgIDAxUYGMj2BqRbvny5LBaLGjdu7NJ5t2zZ4rRtDZJYkQAASEeQAABwuaCgIKcFCRcvXnT5LQphYWFatmyZbDabS+eFOS1btkxVq1Z16S0HNpvNqUFCQECAcufO7fCxAQDuiSABAOByQUFBTtnakHZCvhHbG44dO6Y9e/a4dF6YT3Jysn799VeXb2tIO2ixatWqDh979+7drEYAANyAIAEA4HLly5d3ys0NefPmNeTAxZCQEPn4+LC9Afrjjz904cIFQ85HkOS0FQmcjwAAuB5BAgDA5Zx1c4N07RspV14BKf3/NZBLly516bwwn6VLl7r82kfJeQctcmMDAOBWCBIAAC6XdnPDzp07HT52cHCw/vrrL6WkpDh87DsJCwvT77//rri4OJfOC3P55ZdfXH7toyRt3rzZKasR9u3bp9TUVIIEAMANCBIAAC6XNWtWPfbYY9q4caPDx65bt64uXryoTZs2OXzsO3nmmWdks9k0ffp0l84L89i4caO2b9+u9u3bu3TeS5cuaf369apbt67Dx96wYYO8vLz02GOPOXxsAID7IkgAABgiJCREkZGRDr/poHr16ipQoICWLFni0HHvJiAgQJ07d9YHH3ygK1euuHRumMPbb7+t8uXLq1mzZi6dNyIiQlevXlWLFi0cPnZkZKSqV6+uHDlyOHxsAID7IkgAABiibt26OnbsmI4cOeLQcT09PdW8eXMtXLjQ5dcxjhw5UufOndNXX33l0nlhvE2bNmn58uUaPXq0y7c1LF68WI888ohKly7t0HFtNpsiIyMVEhLi0HEBAO6PIAEAYIgnn3xSFotFkZGRDh+7TZs22r9/v1POYLiTwMBAdenSRWPHjmVVQibz1ltvqXz58mrTpo1L57169aoWLVrklHn37t2rs2fPEiQAAP6DIAEAYIg8efKoUqVKTgkSGjZsqNy5c2vevHkOH/tuWJWQ+Ri5GiEiIkJxcXFq27atw8eOjIyUl5eXatWq5fCxAQDujSABAGAYZ52TkCVLFrVs2VLz5893+fYGViVkPkatRpCk+fPnq1y5cqpQoYLDx+Z8BADA7RAkAAAMExIS4pRzEiSpbdu22rdvn8u3N0isSshMjFyNcPXqVS1evFht27aVxWJx6NicjwAAuBOCBACAYZx5TkLa9ob58+c7fOy7YVVC5mHkaoSVK1fqwoULTtnWwPkIAIA7IUgAABjGmeckpG1vmDdvnsu3N0isSsgMjFyNIEnz5s1z6rYGzkcAANwOQQIAwFAhISFavXq1U77ZT9vesH37doePfTdpqxLef/99xcXFuXx+OJfNZtPIkSMNW41w5coVp21rkKTVq1erWrVqnI8AALglggQAgKGaNWumEydOKCoqyuFjh4aGqmjRovrss88cPrY93nrrLSUkJGjIkCGGzA/n+frrr7V69Wp99NFHhqxGmDVrluLi4tS1a1eHj33lyhUtW7ZMzZo1c/jYAICMgSABAGCounXrKn/+/E45y8Db21svv/yyZs2apX/++cfh499N8eLF9dFHH+nrr7/W8uXLXT4/nOPYsWMaPHiwnn/+eTVp0sTl86empurjjz9Wy5YtVbp0aYePv2zZMl2+fNkpZy8AADIGggQAgKG8vLz0zDPPOO2qxp49e8rb21tffPGFw8e2R48ePRQaGqqePXuyxSEDsNls6tmzp3x9ffXRRx8ZUsOKFSu0Z88eDR482Cnjz5s3T4899pjKli3rlPEBAO6PIAEAYLgOHTroyJEj2rBhg8PHzpMnj55//nl98cUXhtygYLFYNG3aNMXFxbHFIQP4+uuv9euvv2rq1KnKnTu3ITVMmDBB1apV0xNPPOHwsS9evKiffvpJHTp0cPjYAICMgyABAGC4OnXqqHjx4po5c6ZTxh8wYIBiYmI0a9Ysp4x/N2xxyBiu39IQFhZmSA1///23Vq5cqcGDBzvlkMUffvhBiYmJevbZZx0+NgAg4yBIAAAYzsPDQ88++6zmzZunpKQkh49funRpPf300/r4448NuQpSYouDuzPDlgZJ+vjjj1W0aFE988wzThl/5syZCgkJUbFixZwyPgAgYyBIAACYQpcuXXT+/Hn98ssvThl/8ODB2rNnj1asWOGU8e+GLQ7uzQxbGs6cOaPw8HD1799f3t7eDh//xIkTWrNmjbp06eLwsQEAGQtBAgDAFB555BEFBwc7bXtD7dq1VbVqVU2YMMEp49vj+i0OS5YsMawO3JuDBw8avqVBkr744gt5e3urZ8+eThl/9uzZypo1q9NWOwAAMg6CBACAaXTp0kW//PKLYmJiHD62xWLR4MGDFRERoR07djh8fHv16NFDTz/9tDp37qx9+/YZVgfsc+nSJbVs2VKFCxc2NIS6cuWKvvjiC73wwgtOWRFhs9k0c+ZMtWzZUr6+vg4fHwCQsRAkAABMo2PHjkpNTVV4eLhTxm/Tpo2KFi2qcePGOWV8e1gsFn333XcKCAhQixYtdOrUKcNqwZ0lJSWl3yiyaNEi+fn5GVbL9OnTFRsbq/79+ztl/KioKO3atYttDQAAuxgaJLz77ruqVauWsmfPbth+QwCAeRQsWFBt27bVxIkTlZKS4vDxvb29NXLkSIWHh2vr1q0OH99evr6++uWXX3TlyhXVq1ePMMGEkpKS1KZNG61cuVI//PCDypcvb1gt8fHxeuutt9SlSxeVLl3aKXNMmDBBpUqVUuPGjZ0yPgAgYzE0SLh69aratm2r3r17G1kGAMBEhgwZokOHDmnhwoVOGb9Hjx4qV66chg4datgNDpJUqlQpRUZGKiEhgTDBZKxWq9q3b6+IiAgtXrxYjRo1MrSesWPH6tKlS3r33XedMv6RI0c0f/58DR48WJ6enk6ZAwCQsRgaJLz11lsaNGiQHn30USPLAACYSNWqVRUSEqIPP/zQKd/oe3l56cMPP9SaNWucdkOEvUqXLp0eJoSGhio2NtbQenBtJcK4ceO0atUqLV682PCf0B87dkwff/yxhgwZoqJFizpljokTJ8rPz0/dunVzyvgAgIzHy+gC7ofVapXVajW6jPuSVre71i/Rg1nQgznQg3MMGjRITz/9tCIjI1W7du27Pv9eewgNDVW9evU0dOhQNWjQQF5exv1xWLx4cUVERKhhw4YaNWqU6tSpo+LFixtWz4Mw43vpXiQlJaldu3bavn275s+fr/r16xvey/Dhw+Xr66tBgwbZXcu9vA7nz5/XtGnTNGDAAGXJksXwftO4+3tJogezoAdzoAdzcGTtFpuR6zr/55tvvtHAgQN14cKFOz4vPj5efn5+Cg8PV/bs2V1THADA5VJTUzVgwAD5+/trxIgRTpnj0KFDGjJkiF588UVDr/RLc/r0aY0aNUpZs2bVmDFjlDdvXqNLylSsVqvGjRun7du3a8SIEapcubLRJSk6OlpDhw5V7969nbYyYsGCBfr+++81depUzqsCgAwuISFBnTp1Ulxc3APf0OPwH8G89tprdz0Ne8+ePSpXrtx9z1GvXj3ly5fvvj/fSFarVREREQoNDZW3t7fR5dwXejAHejAHenCef//9Vy+++KJKly6thx9++I7Pvd8etm/frnnz5un1119XwYIFH7TkB5L2U4IxY8bo/fffV0REhAICAgyt6V6Z9b10N0lJSWrfvr127Nih+fPnS5LhPaSkpGjMmDEKCgrSRx99dE+rZux9HZKSkvTSSy/pueeeU6dOnRxRtsO463vpevRgDvRgDvRgDo68XtvhQcKQIUPuuseuVKlSDzSHt7e32754aejBHOjBHOjBHMzWw3PPPafRo0fr008/1VdffWXX59xrD+PHj9fPP/+s1157TTNnzrzfUh3G399fK1euVGhoqBo1aqQ1a9a4XZggme+9dCdJSUnq2LFj+pkI9evX19KlSw3vYcqUKYqKitL69euVLVu2+xrjbj3MnDlTZ86c0bBhw0z7ehn9OjgCPZgDPZgDPRjLkXU7/LDFAgUKqFy5cnf8lSVLFkdPCwDIYLJmzar+/fvru+++0z///OOUOfLnz6/x48dr1qxZWrlypVPmuFfXH8BYr149HT161OiSMqzLly/rmWeeSb+dweiDFdOcOnVKI0aMUK9evVSrVi2nzJGamqrx48frqaeeuuuKHwAAbmborQ3Hjh3Ttm3bdOzYMaWkpGjbtm3atm2bLl26ZGRZAACT6NWrl7y8vPT55587bY6uXbuqbt266t27t65cueK0ee5FWphgtVpVtWpVrVmzxuiSMpyDBw+qZs2aioyMNFWIIEkDBgxQ9uzZ9f777zttjmXLlmnPnj0aOnSo0+YAAGRchgYJo0ePVuXKlfXGG2/o0qVLqly5sipXrqyoqCgjywIAmETevHn1wgsvaNKkSXc9kPd+WSwWTZkyRceOHdPIkSOdMsf9KF26tDZv3qxKlSqpYcOGGj58uBITE40uy+3ZbDZNnz5dVapU0ZUrV/THH3+YKkSYN2+eFixYoI8//lh58uRxyhw2m03vvfeeqlevbtetKAAA3MzQIOGbb76RzWb7z6+QkBAjywIAmMirr76qpKQkjR071mlzPPzww/rggw/08ccfa/HixU6b517ly5dPy5Yt0zvvvKOPPvpIwcHB+vPPP40uy22dOHFCTZs21QsvvKDWrVtr8+bNCgoKMrqsdNHR0erRo4c6dOigDh06OG2exYsXa8OGDXrnnXdksVicNg8AIOMyNEgAAOBuAgICNGTIEH3yySc6fvy40+bp37+/WrZsqW7duunIkSNOm+deeXl5acSIEdq6dauyZcummjVrsjrhHqWtQggKCtLff/+tn3/+WTNmzDDVdYeJiYlq166dChcurClTpjjtG/zk5GS99tpr6Qd6AgBwPwgSAACmN2zYMOXKlUujR4922hwWi0XTp09X7ty51aFDB129etVpc92PChUqaNOmTaxOuEc3r0LYuXOnmjVrZnRZ/zFkyBDt3r1b8+bNe+C7ve/k66+/1v79++96VTcAAHdCkAAAML1cuXLpzTff1LfffqsdO3Y4bZ48efLo+++/19atWzV8+HCnzXO/WJ1gv9utQnDWuQMPYt68efriiy/0ySefqFKlSk6b59KlS3rzzTfVuXNnVa5c2WnzAAAyPoIEAIBb6NmzpwIDAzVs2DDZbDanzVO9enV9+OGHmjBhgqnOS7jezasTqlSposWLFzv1v4s7iYqKUuPGjU2/CkG68VyEF1980alzffTRR4qNjdU777zj1HkAABkfQQIAwC14e3vrgw8+0IoVK7RkyRKnzmXW8xKud/3qhMKFC6tly5aZPlCIiopSixYtVK1aNR07dszUqxAk152LIElHjhzR2LFjNWjQIJUoUcJp8wAAMgeCBACA23j66afVpEkTDRgwQFeuXHHaPGY/L+F6FSpU0OrVqxUZGak8efJkykDh+gDhwIEDmj17tnbt2mXaVQhpXHUugiQNGjRI+fPn16hRo5w6DwAgcyBIAAC4DYvFok8//VSnTp1y6nWQkvnPS7hZ3bp1M12gcLsAoVOnTvL09DS6vDty1bkIkrR06VItWrRIEyZMUM6cOZ06FwAgcyBIAAC4lTJlyuiVV17RuHHjdPDgQafOdf15CYsWLXLqXI5yu0Bh4cKFSk1NNbo8h9i8ebPbBgiStH//fpedi5CYmKj+/furYcOGatOmjVPnAgBkHgQJAAC3M3z4cBUuXFg9e/Z0+jfH/fv3V5s2bdSpUyetXr3aqXM50s2BQuvWrRUYGKiBAwfq119/daubHlJSUvTHH3/ozTffVLVq1VS9enW3DBCka2cVNGrUSEWKFHH6uQiS9NZbb+nYsWP67LPPnD4XACDzIEgAALid7Nmza/r06VqzZo0mTpzo1LksFotmzpypOnXqqHnz5m4VJkj/Hyhs2LBBDRs21A8//KDGjRsrX758at68uSZNmqRDhw4ZXeZ//Pvvv5o9e7Y6d+6swoUL6/HHH9fEiRNVsmRJ/fDDD24XIEjXQoSQkBB5eXnp119/dfq5COvWrdO4ceP09ttvq1y5ck6dCwCQuXgZXQAAAPejfv36Gjx4sIYPH66QkBCnzuXj46NFixapZcuWat68uX7++WfVr1/fqXM6Ws2aNVWzZk3ZbDbt2rVLy5Yt09KlSzVw4ED169dPZcuWVdOmTRUWFqY6derIx8fHpfWlpKRoy5Yt6XVt3rxZNptNlSpV0osvvqiwsDA9/vjj8vJyz7+6XB8irFmzRsWKFXPqfAkJCRowYIBq166tYcOGOXUuAEDm455/GgMAIOndd99VRESEunbtqjfeeMOpc2WEMEG6tsKiQoUKqlChgoYNG6b4+HitWrVKy5Yt04IFCzRx4kR5enrqoYceUpkyZRQYGHjDPx966CF5e3vf19ypqak6efKkDhw4oOjo6Bv+efDgQSUmJsrPz0+NGjXSSy+9pCZNmsjf39/B/wVcz9UhgiRNnTpVsbGxioyMdKtVGwAA90CQAABwWz4+Ppo1a5aqVaum2bNn6+mnn3b6fBkhTLier6+vWrVqpVatWqWvVli/fn36N/mrV6/W1KlTlZSUJEnpIUNgYKACAgJu2Hefmpqq48ePa9GiRfLw+P/dkzExMYqOjk4PCyTJw8MjPawICQlRz549FRwc7NarDm7FiBDhhx9+0Jo1a/T111/roYcecvp8AIDMJ+P8SQ0AyJQqVqyot99+W8OHD1dkZKRCQ0OdOl9GDBPSXL9a4Xqpqak6ceLEf1YS7Nmz54bn2Ww2XbhwQZcuXbohYPD19U0PC65f2ZAlSxaX9GUUI0KEU6dOqW/fvqpVq5Y6d+7s9PkAAJkTQQIAwO0NHDhQs2bN0gsvvKC///5buXPndup8GTlMuBUPDw8VL15cxYsXV4MGDW77PKvVqqVLl6pp06b3vf0hozAiREhNTVX37t2VNWtWvfTSS9zSAABwGm5tAAC4PQ8PDw0YMEDx8fHq27evS+ZMCxPc9TYHOI8RIYIkTZo0Sb/++qumTZvm9BshAACZG0ECACBDKFCggD799FOFh4drzpw5LpmTMAE3MypE2L17t1555RW9/PLLTt/eAwAAQQIAIMPo2LGjOnTooN69e+v48eMumfPmMGHFihUumRfmc+DAAUNChKtXr6pz584qWbKkxo0b55I5AQCZG0ECACBD+eKLL5QrVy61adNGCQkJLpkzLUxo0KCBmjZtqrffflspKSkumRvmsGDBAlWtWlU+Pj4uDRFsNpv69eunnTt3avbs2cqWLZtL5gUAZG4ECQCADCVPnjxatGiRdu3apQ4dOig5Odkl86aFCW+88YbefPNNNW7cWP/8849L5oZxkpKS9PLLL6tt27Zq0qSJ/vzzT5eFCJI0ZswYTZ06VV999ZUqV67ssnkBAJkbQQIAIMMJDg7WggULtHTpUvXp00c2m80l83p6emr06NFauXKldu7cqUqVKmnNmjUumRuud/DgQdWqVUtTp07V5MmTNXfuXJcecjh9+nSNHj1aY8aMUbdu3Vw2LwAABAkAgAypSZMmmjZtmqZOnaoxY8a4dO769etr27ZtCgoKUsOGDdnqkAEtWLBAVapUUXx8vDZu3Ojy6xaXLl2qF198Ub169dKIESNcNi8AABJBAgAgA+vWrZveeecdjR49WjNmzHDp3IULF9aKFSvY6pDB3LyVYcuWLS7fUrB582a1bdtWzZo10+eff+7SAAMAAIkgAQCQwY0cOVK9evVSz549tWzZMpfOzVaHjMXorQxpNTRr1kwVK1bUnDlz5OXl5dL5AQCQCBIAABmcxWLR559/rqZNm6pt27aKiopyeQ1sdXB/Rm9lkKRz586pSZMmyp07t5YsWaLs2bO7dH4AANIQJAAAMjwvLy/NnTtXFSpUULNmzXTw4EGX13DzVoeaNWtq27ZtLq8D9+b06dNq3769oVsZJOny5ctq3ry5Ll68qOXLlyt//vwurwEAgDQECQCATCF79uz6+eef5efnpyZNmujcuXMuryFtq8P69et15coVVa1aVUOHDtWlS5dcXgvuLDU1VZMnT1a5cuW0Zs0azZo1y5CtDJKUnJys9u3ba9euXfrll19UqlQpl9cAAMD1CBIAAJlG/vz5tXz5csXHx6t58+a6fPmyIXXUrFlTW7du1bvvvqsvvvhCQUFB+umnn1x2TSXu7NChQ6pbt6769Omj9u3ba+/evXr22WcNOdTQZrOpT58+WrFihRYsWKDg4GCX1wAAwM0IEgAAmUqpUqW0dOlS7d69W82aNTMsTPD29tarr76qnTt3qnz58mrTpo1Gjx6tv/76y5B6IJ08eVI9evTQkCFDFBcXp7Vr1+qrr75S3rx5DanHZrNp4MCBmjp1qqZNm6YmTZoYUgcAADcjSAAAZDrBwcFavny5tmzZosaNGys2NtawWtKCjUWLFun8+fOqUaOGnnvuOR0/ftywmjKbixcv6vXXX1eZMmW0dOlS9ezZU1u2bNGTTz5pWE3Jycnq1auXPv30U02ePFldu3Y1rBYAAG5GkAAAyJSeeOIJrVy5Unv37lXt2rV19OhRw2qxWCxq2rSpPvnkE02aNEkrVqxQ2bJlNWLECMXExBhWV0aXmJioL7/8UoGBgRo/frwGDhyoPXv2qGnTpvL29jasrsuXL6tVq1aaPn26ZsyYoZdeesmwWgAAuBWCBABAplWjRg1t2LBBiYmJqlmzprZv325oPZ6enurZs6eio6M1dOhQTZw4UcWKFVPv3r21b98+Q2vLSM6dO6e3335bJUqUUJ8+fdS4cWPt27dP7733nvz8/AyvrX79+lqzZo1+/vlndevWzdB6AAC4FYIEAECmVrZsWW3cuFEBAQF68skntWrVKqNLUq5cufTOO+/o2LFjGjFihBYuXKhy5cqpefPmWr16NYcy3qfdu3erZ8+eKlasmMaOHas2bdpo7969+u6771S8eHGjy9PBgwdVq1YtHTlyRL/99htnIgAATIsgAQCQ6RUqVEiRkZF64oknFBYWptmzZxtdkqRrt0yMGjVKR48e1YwZM3T8+HE1aNBAlStX1nfffaerV68aXaLp2Ww2RUREKCwsTEFBQVq6dKneeOMNnThxQpMmTVLZsmWNLlGStHnzZtWsWVMWi0UbN27kdgYAgKkRJAAAIClnzpz66aef9Oyzz6pz58764IMPTPOT/6xZs6pbt27atm2bVq5cqSJFiqhr164qUaKE3n33Xc5RuIXExERNnz5dFStWVKNGjfTPP/9o5syZOnz4sIYPH27YTQy3snTpUoWEhKhUqVLasGGDSpUqZXRJAADcEUECAAD/4+3trenTp+v111/Xq6++qgEDBiglJcXostJZLBY1aNBAv/zyi3bv3q2nnnpKY8aMUdGiRdW6dWvNnTtXly5dMrpMw1itVv3666/q2bOnihYtqh49eqhUqVJas2aNtmzZos6dOytLlixGl3mD6dOn66mnnlLDhg21evVq5c+f3+iSAAC4K4IEAACuY7FY9Pbbb+vLL7/UpEmT1K5dO125csXosv7jkUce0ZQpU3T8+HGNGTNGJ0+eVMeOHVWgQAG1bt1ac+bM0cWLF40u0+muDw/8/f3VuHFjrVmzRj179tTevXu1ePFihYSEyGKxGF3qDWw2m95++2298MIL6tGjh3744Qdlz57d6LIAALCLl9EFAABgRr169ZK/v786dOigRo0aaeHChab8aXH+/Pk1ZMgQDRkyREeOHNGCBQs0f/58derUST4+PgoLC1OrVq3UtGlT5cuXz+hyHeLKlStatWqVFi1apIULFyo2NlalS5dWz5491a5dO1WqVMl0wcH1rl69qn79+mnq1KkaM2aMRowYYep6AQC4mWFBwpEjR/TOO+9o9erVOnPmjAICAtS5c2eNHDnSdMsOAQCZ01NPPaXVq1frqaeeUsWKFTVjxgw1btzY6LJu66GHHtLQoUM1dOjQG0KF5557Th4eHnr88cdVo0YNBQcHKzg4WGXLlpWHh7kXJ9psNp04cUJbtmzRli1bFBUVpd9++01XrlxRYGCgXnzxRbcID9Ls3btXzz77rHbs2KHp06ere/fuRpcEAMA9MyxI2Lt3r1JTUzVlyhQFBgZq586d6tmzpy5fvqzx48cbVRYAADd4/PHHtW3bNnXv3l1NmjTRyy+/rHHjxilbtmxGl3ZH14cKp06d0i+//KKIiAgtXrxYH3/8saRrB0xWrlxZwcHBqlq1quHhwq1Cgy1btujcuXOSrt2uERwcrDfffFMtWrRQuXLl3CI8kK719sUXX2jYsGEqXry4NmzYoKpVqxpdFgAA98WwIKFJkyY33I9cqlQp7du3T5MnTyZIAACYSkBAgJYtW6ZJkybplVde0cqVKzVr1ixVqVLF6NLsEhAQoJ49e6pnz56SpPPnz2vr1q3p36j/9NNPmjhxoqRr4UKFChVUpEgRBQQEKCAgQP7+/jf8e548ee7rG/hLly7p1KlTOn36tE6dOvWff9+9e/d/QoOXXnopPegICAhwm+DgeqdPn9bzzz+v5cuXq2/fvvrggw84DwEA4NZMdUZCXFycXdcxWa1WWa1WF1TkeGl1u2v9Ej2YBT2YAz2Yg6t6eOmll1SnTh1169ZNNWrU0BtvvKGhQ4fK09Pzgcd25euQM2dO1alTR3Xq1El/7Pz58/rrr7+0detW7d69W2fOnNGePXt05swZxcbG3vD5WbNmVUBAgHLnzn3DN/Y2m03x8fF66623bnj84sWLOnPmzH8Of8yZM6f8/f3Tf9WuXVtVqlRRlSpVbhkaJCcnO/I/wy05+nVYuHCh+vTpI29vby1ZsiR9a4wzX2e+ps2BHsyBHsyBHszBkbVbbCa5JDs6OlrBwcEaP358+k9MbhYfHy8/Pz+Fh4eT5AMADGO1WjV37lz9+OOPKleunAYOHKhChQoZXZbTXL16VefPn9f58+cVGxur2NhYnT9/XpcvX7br87NkyaK8efMqb968ypMnT/q/m317yIO4cuWKpk2bplWrVunxxx9Xnz595Ovra3RZAIBMLCEhQZ06dVJcXNwD/5nk8CDhtdde07hx4+74nD179qhcuXLpvz958qTq1q2rkJAQTZs27baflxYknD592m1PnrZarYqIiFBoaKi8vb2NLue+0IM50IM50IM5GNXD+vXr1b17d8XExOjjjz9Wly5d7nvpPa+DOTiihw0bNqh79+46d+6cJk6c+EDvi/vB62AO9GAO9GAO9GAOMTEx8vf3d0iQ4PCtDUOGDFG3bt3u+JxSpUql//upU6dUr1491apVS1999ZVdc3h7e7vti5eGHsyBHsyBHsyBHu5dSEiItm/frgEDBqhHjx5atmyZJk+erAIFCtz3mLwO5nA/PSQlJentt9/W2LFjVbNmTa1cufKGv/O4WmZ9HcyGHsyBHsyBHozlyLodHiQUKFDA7r9AnTx5UvXq1VNwcLBmzJhh+iuoAAC4ma+vr2bMmKHmzZvrxRdf1MMPP6z33ntPPXv2dMjZCXAPK1as0Msvv6zDhw/rnXfe0auvvsrrDwDIsAz7zv3kyZMKCQlR8eLFNX78eJ07d05nzpzRmTNnjCoJAID79swzz2jv3r1q3bq1evfurerVq+uPP/4wuiw42bFjx/TMM8+oSZMmKlq0qLZv364RI0YQIgAAMjTDgoSIiAhFR0dr1apVKlq06A2nNgMA4I4KFCigadOmaePGjbLZbHr88cf1wgsv6PTp00aXBgdLSEjQmDFjVK5cOW3atElz587VqlWrVL58eaNLAwDA6QwLErp16yabzXbLXwAAuLPHH39cmzdv1hdffKHFixcrMDBQo0eP/s/1h3A/ycnJmjZtmsqUKaO3335bffv21d69e9W+fXuXHqgIAICROJQAAAAn8PT0VO/evRUdHa3+/fvrww8/VOnSpfX555/r6tWrRpeHe2Sz2bRkyRI99thj6tmzp0JCQrRv3z59+OGHypUrl9HlAQDgUgQJAAA4Ue7cufX+++9r//79at68ufr376+goCDNmDFDSUlJRpeHu7DZbFqxYoXq1q2rp556SoUKFVJUVJRmz56tkiVLGl0eAACGIEgAAMAFihUrpunTp2vbtm165JFH9Pzzz6tkyZIaO3asLly4YHR5uMnVq1f13Xff6bHHHlOTJk10+fJlLV26VKtWrVJwcLDR5QEAYCiCBAAAXKhixYr66aeftHv3bjVr1kxvvPGGihUrpqFDh+rs2bNGl5fpxcXFaeHChXr44YfVtWtXFStWTKtXr1ZUVJTCwsI4BwEAABEkAABgiEceeURTp07V0aNHNWDAAM2cOVMvvfSSunTpoq1btxpdXqZz/PhxDR06VKVKldLs2bMVGhqqnTt36pdfflG9evUIEAAAuA5BAgAABipcuLDGjBmjQ4cO6YUX/q+9O4/OqrDTB/4NEAIBghASFhUEF1Aqsk0piDOiIoOotdMyrSiCW8VDXZBBcdTaVkUQtR2XKrYWscqoPbba4oKpuNQRkYq2FakrisqiggLCCC9wf3/0kCk/EG4geG/s53NOziFv3uV5DOGaJzfve3o8//zz0atXrzjyyCPjkUceiU2bNmUd8UvtxRdfjOHDh0enTp3i9ttvj7PPPjtuu+22uO2226Jr165ZxwOAXDIkAEAONGnSJIYMGRLz58+P++67L1avXh3HHHNM7LPPPnHxxRfHK6+8knXEL40lS5bEddddF927d4+ePXvGM888E9ddd128++67ceWVV0bLli2zjggAuWZIAIAcadCgQQwdOjTmzJkTs2fPjmOPPTamTJkSXbt2jV69esVPfvKTWLZsWdYx65w1a9bEXXfdFYMGDYq99torLrnkkth///3jwQcfjNdffz3OPffcaNq0adYxAaBOMCQAQA4VFRXF1772tfjpT38aS5YsiV//+tfRoUOHuPDCC2PPPfeMwYMHxx133BEff/xx1lFza926dfG73/0uhg8fHq1bt47hw4fH//7v/8att94aS5cujV/96ldx/PHHR4MGDbKOCgB1iiMnAORcSUlJfOMb34hvfOMbsWLFirjvvvti+vTpcdppp0WDBg3iyCOPjIEDB8bhhx8ehxxySNSvXz/ryJlIkiTeeuutePLJJ+Pxxx+Phx56KFatWhUHHXRQXHTRRXHyySdHx44ds44JAHWeIQEA6pCWLVvGqFGjYtSoUbF48eK4//7744EHHohLLrkkPvvss2jevHn88z//cxx++OFf+mHh74eDzW/vvfde1KtXL3r06BFjxoyJoUOHetJEAKhlhgQAqKPatWsX55xzTpxzzjmxbt26eP7556u/od7WsHDYYYdF165do7S0NOvoO6VQKMQbb7wRzz777FbDQc+ePeM73/lOHH744dG/f/9o3rx51nEB4EvLkAAAXwIlJSVx2GGHxWGHHRaXXXbZ5w4LRUVF0bFjx+jatWt07do1DjrooOjatWt06dIlNwNDoVCIN998M+bPnx/z58+PV155JebPnx+vvvpqFAoFwwEAZMyQAABfQtsaFl566aXqb8rnz58fd999d7z77rsREVsMDAcccEC0bt06KioqoqKiIiorK6v/3KRJk13KtX79+vjwww/jww8/jA8++GCLP7/11ltbDAYREa1atYquXbvGYYcdFqNGjYquXbtGjx49DAcAkCFDAgD8AygpKYk+ffpEnz59trh81apVsWDBgi1+8v/ggw/Ghx9+GCtXrtzqfkpLS6tHhebNm0dRUVH1x5IkiY8++ihuvPHGLS5fs2ZN9WCwvfvs0KHDFoPBQQcdFJWVlbX4XwEAqA2GBAD4B1ZWVrbNgSHiby+f+NFHH21x9sDfn0WwatWqLa6/adOm+Oyzz6JFixZRr97/vcL0nnvuGYceemj1mQ1/f4ZDbZzlAAB8sQwJAMA2lZSUxJ577hl77rlnqusXCoV4+OGH45hjjoni4uLdnA4AyEq9HV8FAAAA4G8MCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASC3TIeH444+P9u3bR6NGjaJt27YxfPjwWLx4cZaRAAAAgO3IdEgYMGBA3HffffHqq6/G/fffH2+++WZ861vfyjISAAAAsB0NsnzwMWPGVP+5Q4cOMX78+DjhhBOiUChEcXFxhskAAACAbcl0SPh7K1asiLvvvjv69eu3wxGhUChEoVD4gpLVrs2562r+CB3yQod80CEfdMgHHfJBh3zQIR90yAcd8qE2sxclSZLU2r3thIsuuihuuummWLt2bXzta1+LGTNmRHl5+Tavu2rVqmjevHlMnz49SktLv+CkAAAAUDetXbs2hg0bFitXroyysrJduq9aHxLGjx8fkyZN2u51FixYEF26dImIiI8++ihWrFgR77zzTvzwhz+M5s2bx4wZM6KoqGir220eEpYsWfK5Y0PeFQqFqKqqioEDB9bZX9/QIR90yAcd8kGHfNAhH3TIBx3yQYd80CEfli9fHm3btq2VIaHWf7Vh7NixMXLkyO1ep1OnTtV/btWqVbRq1SoOOOCAOPDAA2PvvfeO5557Lvr27fu5ty8uLq6zn7zNdMgHHfJBh3zQIR90yAcd8kGHfNAhH3TIh7rcoTZz1/qQUFFRERUVFTt1202bNkVExLp162ozEgAAAFBLMnuyxTlz5sTcuXOjf//+0aJFi3jzzTfjsssui3333Xe7ZyMAAAAA2amX1QOXlpbGr3/96zjyyCOjc+fOcfrpp0e3bt3iqaeeipKSkqxiAQAAANuR2RkJBx98cMyaNSurhwcAAAB2QmZnJAAAAAB1jyEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUcjEkrFu3Lrp37x5FRUXx0ksvZR0HAAAA+By5GBIuvPDCaNeuXdYxAAAAgB3IfEh45JFH4rHHHotrr7026ygAAADADjTI8sGXLVsWZ555ZjzwwANRWlqa+naFQiEKhcJuTLb7bM5dV/NH6JAXOuSDDvmgQz7okA865IMO+aBDPuiQD7WZvShJkqTW7q0GkiSJY445Jg499NC49NJL4+23346OHTvGiy++GN27d9/mbVatWhXNmzeP6dOn12h4AAAAgH9ka9eujWHDhsXKlSujrKxsl+6r1s9IGD9+fEyaNGm711mwYEE89thjsXr16rj44otr/BgDBgyI8vLynY2YqUKhEFVVVTFw4MAoLi7OOs5O0SEfdMgHHfJBh3zQIR90yAcd8kGHfNAhH5YvX15r91XrQ8LYsWNj5MiR271Op06dYtasWTF79uwoKSnZ4mO9e/eOk046KaZNm/a5ty8uLq6zn7zNdMgHHfJBh3zQIR90yAcd8kGHfNAhH3TIh7rcoTZz1/qQUFFRERUVFTu83g033BBXXnll9fuLFy+OQYMGxb333ht9+vSp7VgAAABALcjsyRbbt2+/xftNmzaNiIh999039tprrywiAQAAADuQ+cs/AgAAAHVHpi//+Pf22WefyOgFJAAAAICUnJEAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgtUyHhH322SeKioq2eJs4cWKWkQAAAIDtaJB1gB/96Edx5plnVr/frFmzDNMAAAAA25P5kNCsWbNo06ZN1jEAAACAFDIfEiZOnBhXXHFFtG/fPoYNGxZjxoyJBg22H6tQKEShUPiCEtauzbnrav4IHfJCh3zQIR90yAcd8kGHfNAhH3TIBx3yoTazFyVJktTavdXQ9ddfHz179oyWLVvGs88+GxdffHGceuqpcf3112/z+qtWrYrmzZvH9OnTo7S09AtOCwAAAHXT2rVrY9iwYbFy5cooKyvbpfuq9SFh/PjxMWnSpO1eZ8GCBdGlS5etLv/FL34RZ511Vnz66adRUlKy1cc3DwlLliyJ8vLyWsv8RSoUClFVVRUDBw6M4uLirOPsFB3yQYd80CEfdMgHHfJBh3zQIR90yAcd8mH58uXRtm3bWhkSav1XG8aOHRsjR47c7nU6deq0zcv79OkTGzZsiLfffjs6d+78ubcvLi6us5+8zXTIBx3yQYd80CEfdMgHHfJBh3zQIR90yIe63KE2c9f6kFBRUREVFRU7dduXXnop6tWrF5WVlbWcCgAAAKgNmT3Z4uzZs2POnDkxYMCAaNasWcyePTvGjBkTJ598crRo0SKrWAAAAMB2ZDYklJSUxD333BM/+MEPYt26ddGxY8cYM2ZMXHDBBVlFAgAAAHYgsyGhZ8+e8dxzz2X18AAAAMBOqJd1AAAAAKDuMCQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJBa5kPCQw89FH369InGjRtHixYt4oQTTsg6EgAAAPA5GmT54Pfff3+ceeaZMWHChDjiiCNiw4YN8fLLL2cZCQAAANiOzIaEDRs2xHnnnReTJ0+O008/vfrygw46KKtIAAAAwA5kNiTMmzcv3n///ahXr1706NEjli5dGt27d4/JkyfHV77yle3etlAoRKFQ+IKS1q7Nuetq/ggd8kKHfNAhH3TIBx3yQYd80CEfdMgHHfKhNrMXJUmS1Nq91cA999wTJ554YrRv3z6uv/762GeffeK6666Lxx57LF577bVo2bLlVrdZtWpVNG/ePKZPnx6lpaUZpAYAAIC6Z+3atTFs2LBYuXJllJWV7dJ91foZCePHj49JkyZt9zoLFiyITZs2RUTEJZdcEt/85jcjImLq1Kmx1157xa9+9as466yzPvf2AwYMiPLy8toL/QUqFApRVVUVAwcOjOLi4qzj7BQd8kGHfNAhH3TIBx3yQYd80CEfdMgHHfJh+fLltXZftT4kjB07NkaOHLnd63Tq1CmWLFkSEVs+J0JJSUl06tQpFi1atN3bFxcX19lP3mY65IMO+aBDPuiQDzrkgw75oEM+6JAPOuRDXe5Qm7lrfUioqKiIioqKHV6vV69eUVJSEq+++mr0798/Iv628rz99tvRoUOH2o4FAAAA1ILMnmyxrKwsRo0aFZdffnnsvffe0aFDh5g8eXJERAwdOjSrWAAAAMB2ZDYkRERMnjw5GjRoEMOHD4///d//jT59+sSsWbOiRYsWWcYCAAAAPkemQ0JxcXFce+21ce2112YZAwAAAEipXtYBAAAAgLrDkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqZDQlPPvlkFBUVbfNt7ty5WcUCAAAAtqNBVg/cr1+/WLJkyRaXXXbZZfH4449H7969M0oFAAAAbE9mQ0LDhg2jTZs21e8XCoV48MEH45xzzomioqKsYgEAAADbkdmQ8P/77W9/G8uXL49TTz11h9ctFApRKBS+gFS1b3Puupo/Qoe80CEfdMgHHfJBh3zQIR90yAcd8kGHfKjN7EVJkiS1dm+74JhjjomIiIcffvhzr7Nq1apo3rx5TJ8+PUpLS7+oaAAAAFCnrV27NoYNGxYrV66MsrKyXbqvWj8jYfz48TFp0qTtXmfBggXRpUuX6vffe++9mDlzZtx3332pHmPAgAFRXl6+SzmzUigUoqqqKgYOHBjFxcVZx9kpOuSDDvmgQz7okA865IMO+aBDPuiQDzrkw/Lly2vtvmp9SBg7dmyMHDlyu9fp1KnTFu9PnTo1ysvL4/jjj0/1GMXFxXX2k7eZDvmgQz7okA865IMO+aBDPuiQDzrkgw75UJc71GbuWh8SKioqoqKiIvX1kySJqVOnximnnFJnPyEAAADwj6Je1gFmzZoVCxcujDPOOCPrKAAAAMAOZD4k3H777dGvX78tnjMBAAAAyKfMX/5x+vTpWUcAAAAAUsr8jAQAAACg7jAkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQWqZDwmuvvRZf//rXo1WrVlFWVhb9+/ePJ554IstIAAAAwHZkOiQce+yxsWHDhpg1a1a88MILccghh8Sxxx4bS5cuzTIWAAAA8DkyGxI++uijeP3112P8+PHRrVu32H///WPixImxdu3aePnll7OKBQAAAGxHg6weuLy8PDp37hx33nln9OzZM0pKSmLKlClRWVkZvXr12u5tC4VCFAqFLyhp7dqcu67mj9AhL3TIBx3yQYd80CEfdMgHHfJBh3zQIR9qM3tRkiRJrd1bDb333ntxwgknxLx586JevXpRWVkZDz30UPTo0WOb11+1alU0b948pk+fHqWlpV9wWgAAAKib1q5dG8OGDYuVK1dGWVnZLt1XrZ+RMH78+Jg0adJ2r7NgwYLo3LlzjB49OiorK+MPf/hDNG7cOH7+85/HcccdF3Pnzo22bdt+7u0HDBgQ5eXltR39C1EoFKKqqioGDhwYxcXFWcfZKTrkgw75oEM+6JAPOuSDDvmgQz7okA865MPy5ctr7b5qfUgYO3ZsjBw5crvX6dSpU8yaNStmzJgRH3/8cfUa8tOf/jSqqqpi2rRpMX78+M+9fXFxcZ395G2mQz7okA865IMO+aBDPuiQDzrkgw75oEM+1OUOtZm71oeEioqKqKio2OH11q5dGxER9ept+XyP9erVi02bNtV2LAAAAKAWZPaqDX379o0WLVrEiBEj4k9/+lO89tprMW7cuFi4cGEMGTIkq1gAAADAdmQ2JLRq1SoeffTR+PTTT+OII46I3r17xzPPPBMPPvhgHHLIIVnFAgAAALYjs5d/jIjo3bt3zJw5M8sIAAAAQA1kdkYCAAAAUPcYEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASC3TIWHevHkxcODA2GOPPaK8vDy++93vxqeffpplJAAAAGA7MhsSFi9eHEcddVTst99+MWfOnHj00Udj/vz5MXLkyKwiAQAAADvQIKsHnjFjRhQXF8fNN98c9er9bc+49dZbo1u3bvHGG2/Efvvtl1U0AAAA4HNkNiSsW7cuGjZsWD0iREQ0btw4IiKeeeaZ7Q4JhUIhCoXCbs+4O2zOXVfzR+iQFzrkgw75oEM+6JAPOuSDDvmgQz7okA+1mb0oSZKk1u6tBubPnx/du3ePCRMmxHnnnRdr1qyJM888M+6///6YMGFCXHzxxVvdZtWqVdG8efOYPn16lJaWZpAaAAAA6p61a9fGsGHDYuXKlVFWVrZL91XrZySMHz8+Jk2atN3rLFiwILp27RrTpk2LCy64IC6++OKoX79+nHvuudG6destzlLYlgEDBkR5eXltxv7CFAqFqKqqioEDB0ZxcXHWcXaKDvmgQz7okA865IMO+aBDPuiQDzrkgw75sHz58lq7r1ofEsaOHbvDJ0zs1KlTREQMGzYshg0bFsuWLYsmTZpEUVFRXH/99dUf/zzFxcV19pO3mQ75oEM+6JAPOuSDDvmgQz7okA865IMO+VCXO9Rm7lofEioqKqKioqJGt2ndunVERPziF7+IRo0axcCBA2s7FgAAAFALMnuyxYiIm266Kfr16xdNmzaNqqqqGDduXEycODH22GOPLGMBAAAAnyPTIeH555+Pyy+/PD799NPo0qVLTJkyJYYPH55lJAAAAGA7Mh0S7rzzziwfHgAAAKih7b88AgAAAMDfMSQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJCaIQEAAABIzZAAAAAApGZIAAAAAFIzJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBqhgQAAAAgNUMCAAAAkJohAQAAAEjNkAAAAACkZkgAAAAAUjMkAAAAAKkZEgAAAIDUDAkAAABAaoYEAAAAIDVDAgAAAJDabhsSrrrqqujXr1+UlpbGHnvssc3rLFq0KIYMGRKlpaVRWVkZ48aNiw0bNuyuSAAAAMAuarC77nj9+vUxdOjQ6Nu3b9x+++1bfXzjxo0xZMiQaNOmTTz77LOxZMmSOOWUU6K4uDgmTJiwu2IBAAAAu2C3nZHwwx/+MMaMGRMHH3zwNj/+2GOPxSuvvBJ33XVXdO/ePQYPHhxXXHFF3HzzzbF+/frdFQsAAADYBbvtjIQdmT17dhx88MHRunXr6ssGDRoUZ599dsyfPz969Oix1W2SJImIiBUrVnxhOWtboVCItWvXxvLly6O4uDjrODtFh3zQIR90yAcd8kGHfNAhH3TIBx3yQYd82Px99Obvq3dFZkPC0qVLtxgRIqL6/aVLl27zNqtXr46IiAMOOGD3hgMAAIAvodWrV0fz5s136T5qNCSMHz8+Jk2atN3rLFiwILp06bJLoT5Pu3bt4t13341mzZpFUVHRbnkMAAAA+LJJkiRWr14d7dq12+X7qtGQMHbs2Bg5cuR2r9OpU6dU99WmTZt4/vnnt7hs2bJl1R/blnr16sVee+2V6v4BAACA/7OrZyJsVqMhoaKiIioqKmrlgfv27RtXXXVVfPDBB1FZWRkREVVVVVFWVhYHHXRQrTwGAAAAULt223MkLFq0KFasWBGLFi2KjRs3xksvvRQREfvtt180bdo0jj766DjooINi+PDhcc0118TSpUvj0ksvjdGjR0dJScnuigUAAADsgqKkNp6ycRtGjhwZ06ZN2+ryJ554Ig4//PCIiHjnnXfi7LPPjieffDKaNGkSI0aMiIkTJ0aDBpk9ByQAAACwHfV21x3fcccdkSTJVm+bR4SIiA4dOsTDDz8ca9eujQ8//DCuvfbazx0RrrrqqujXr1+UlpbGHnvssc3rLFq0KIYMGRKlpaVRWVkZ48aNiw0bNuyGdrVj3rx5MXDgwNhjjz2ivLw8vvvd78ann36adawaee211+LrX/96tGrVKsrKyqJ///7xxBNPZB0rtSeffDKKioq2+TZ37tys49XIQw89FH369InGjRtHixYt4oQTTsg6Uo3ss88+W30OJk6cmHWsnbJu3bro3r17FBUVVZ+NVVccf/zx0b59+2jUqFG0bds2hg8fHosXL846Vmpvv/12nH766dGxY8do3Lhx7LvvvnH55ZfH+vXrs45WI2mOeXl08803xz777BONGjWKPn36bPVcSHn29NNPx3HHHRft2rWLoqKieOCBB7KOVGNXX311/NM//VM0a9YsKisr44QTTohXX30161g1csstt0S3bt2irKwsysrKom/fvvHII49kHWunTZw4MYqKiuL888/POkqN/OAHP9jqmLy7nkx9d3r//ffj5JNPjvLy8mjcuHEcfPDB8cc//jHrWKlt6/+NioqKYvTo0VlHS23jxo1x2WWXbXFcvuKKK2rl5Qe/SKtXr47zzz8/OnToEI0bN45+/frl+nuFHR3TkiSJ73//+9G2bdto3LhxHHXUUfH666/X6DF225BQ29avXx9Dhw6Ns88+e5sf37hxYwwZMiTWr18fzz77bEybNi3uuOOO+P73v/8FJ01n8eLFcdRRR8V+++0Xc+bMiUcffTTmz5+/wyezzJtjjz02NmzYELNmzYoXXnghDjnkkDj22GM/9yU886Zfv36xZMmSLd7OOOOM6NixY/Tu3TvreKndf//9MXz48Dj11FPjT3/6U/zP//xPDBs2LOtYNfajH/1oi8/FOeeck3WknXLhhRfWyrPhZmHAgAFx3333xauvvhr3339/vPnmm/Gtb30r61ip/fWvf41NmzbFlClTYv78+fHjH/84br311vjP//zPrKPVyI6OeXl07733xgUXXBCXX355zJs3Lw455JAYNGhQfPDBB1lHS2XNmjVxyCGHxM0335x1lJ321FNPxejRo+O5556LqqqqKBQKcfTRR8eaNWuyjpbaXnvtFRMnTowXXngh/vjHP8YRRxwRX//612P+/PlZR6uxuXPnxpQpU6Jbt25ZR9kpXbt23eKY/Mwzz2QdqUY+/vjjOPTQQ6O4uDgeeeSReOWVV+K6666LFi1aZB0ttblz527xOaiqqoqIiKFDh2acLL1JkybFLbfcEjfddFMsWLAgJk2aFNdcc03ceOONWUerkTPOOCOqqqril7/8ZfzlL3+Jo48+Oo466qh4//33s462TTs6pl1zzTVxww03xK233hpz5syJJk2axKBBg+Kzzz5L/yBJHTN16tSkefPmW13+8MMPJ/Xq1UuWLl1afdktt9ySlJWVJevWrfsCE6YzZcqUpLKyMtm4cWP1ZX/+85+TiEhef/31DJOl9+GHHyYRkTz99NPVl61atSqJiKSqqirDZDtv/fr1SUVFRfKjH/0o6yipFQqFZM8990x+/vOfZx1ll3To0CH58Y9/nHWMXfbwww8nXbp0SebPn59ERPLiiy9mHWmXPPjgg0lRUVGyfv36rKPstGuuuSbp2LFj1jF2yucd8/Loq1/9ajJ69Ojq9zdu3Ji0a9cuufrqqzNMtXMiIvnNb36TdYxd9sEHHyQRkTz11FNZR9klLVq0qHPHuNWrVyf7779/UlVVlfzLv/xLct5552UdqUYuv/zy5JBDDsk6xi656KKLkv79+2cdo1add955yb777pts2rQp6yipDRkyJDnttNO2uOzf/u3fkpNOOimjRDW3du3apH79+smMGTO2uLxnz57JJZdcklGq9P7/Y9qmTZuSNm3aJJMnT66+7JNPPklKSkqS//7v/059v3XmjIQdmT17dhx88MHRunXr6ssGDRoUq1atyuWKvW7dumjYsGHUq/d/n4LGjRtHRNSZxbe8vDw6d+4cd955Z6xZsyY2bNgQU6ZMicrKyujVq1fW8XbKb3/721i+fHmceuqpWUdJbd68efH+++9HvXr1okePHtG2bdsYPHhwvPzyy1lHq7GJEydGeXl59OjRIyZPnpzrX03almXLlsWZZ54Zv/zlL6O0tDTrOLtsxYoVcffdd0e/fv2iuLg46zg7beXKldGyZcusY3yprV+/Pl544YU46qijqi+rV69eHHXUUTF79uwMk/1jW7lyZUREnf37v3HjxrjnnntizZo10bdv36zj1Mjo0aNjyJAhW3xN1DWvv/56tGvXLjp16hQnnXRSLFq0KOtINfLb3/42evfuHUOHDo3Kysro0aNH/OxnP8s61k5bv3593HXXXXHaaadFUVFR1nFS69evXzz++OPx2muvRUTEn/70p3jmmWdi8ODBGSdLb8OGDbFx48Zo1KjRFpc3bty4znzf9vcWLlwYS5cu3eLfp+bNm0efPn1qdMz+0gwJS5cu3WJEiIjq9/N4mv0RRxwRS5cujcmTJ8f69evj448/jvHjx0dExJIlSzJOl05RUVH8/ve/jxdffDGaNWsWjRo1iuuvvz4effTROnXa2N+7/fbbY9CgQbHXXntlHSW1t956KyL+9vuMl156acyYMSNatGgRhx9+eKxYsSLjdOmde+65cc8998QTTzwRZ511VkyYMCEuvPDCrGOlliRJjBw5MkaNGlWnfi1mWy666KJo0qRJlJeXx6JFi+LBBx/MOtJOe+ONN+LGG2+Ms846K+soX2offfRRbNy4cZvH4Tweg/8RbNq0Kc4///w49NBD4ytf+UrWcWrkL3/5SzRt2jRKSkpi1KhR8Zvf/KZOvTT4PffcE/PmzYurr7466yg7rU+fPnHHHXfEo48+GrfcckssXLgwDjvssFi9enXW0VJ766234pZbbon9998/Zs6cGWeffXace+6523wy+LrggQceiE8++aTO/Rr0+PHj4zvf+U506dIliouLo0ePHnH++efHSSedlHW01Jo1axZ9+/aNK664IhYvXhwbN26Mu+66K2bPnl1nvm/7e5uPy7t6zM50SBg/fvznPtHd5re//vWvWUassbSdunbtGtOmTYvrrrsuSktLo02bNtGxY8do3br1Fmcp5LlDkiQxevToqKysjD/84Q/x/PPPxwknnBDHHXdc5l9UO/N367333ouZM2fG6aefnlHqLaXtsGnTpoiIuOSSS+Kb3/xm9OrVK6ZOnRpFRUXxq1/9qk50iIi44IIL4vDDD49u3brFqFGj4rrrrosbb7wx1q1bVyc63HjjjbF69eq4+OKLM827LTX9ehg3bly8+OKL8dhjj0X9+vXjlFNOyfxJkXbma/r999+Pf/3Xf42hQ4fGmWeemVHy//NlPOaRX6NHj46XX3457rnnnqyj1Fjnzp3jpZdeijlz5sTZZ58dI0aMiFdeeSXrWKm8++67cd5558Xdd9+91U8v65LBgwfH0KFDo1u3bjFo0KB4+OGH45NPPon77rsv62ipbdq0KXr27BkTJkyIHj16xHe/+90488wz49Zbb8062k65/fbbY/DgwXXuOZjuu+++uPvuu2P69Okxb968mDZtWlx77bV1btD55S9/GUmSxJ577hklJSVxww03xIknnpj5921ZyvR1FseOHbvDVa1Tp06p7qtNmzZbPTv0smXLqj/2RalJp2HDhsWwYcNi2bJl0aRJkygqKorrr78+defdJW2HWbNmxYwZM+Ljjz+OsrKyiIj46U9/GlVVVTFt2rTqMyyysDN/t6ZOnRrl5eVx/PHH78Zk6aXtsHm0+fuf1pSUlESnTp0yPw1xV77G+/TpExs2bIi33347OnfuvBvSpVOTr4fZs2dHSUnJFh/r3bt3nHTSSZkeMGv6eWjVqlW0atUqDjjggDjwwANj7733jueeey7TU4tr2mHx4sUxYMCA6NevX9x22227OV06tXnMy5tWrVpF/fr1q4+7my1btuwLPQbzN9/73vdixowZ8fTTT9epM+w2a9iwYey3334REdGrV6+YO3du/Nd//VdMmTIl42Q79sILL8QHH3wQPXv2rL5s48aN8fTTT8dNN90U69ati/r162eYcOfsscceccABB8Qbb7yRdZTU2rZtu9WZLAceeGDcf//9GSXaee+88078/ve/j1//+tdZR6mxcePGVZ+VEBFx8MEHxzvvvBNXX311jBgxIuN06e27777x1FNPxZo1a2LVqlXRtm3b+Pa3v10nj9ubj8vLli2Ltm3bVl++bNmy6N69e+r7yXRIqKioiIqKilq5r759+8ZVV10VH3zwQVRWVkZERFVVVZSVlX2hp8PtTKfNp5X84he/iEaNGsXAgQN3R7TU0nZYu3ZtRMRWS1y9evWqf0qelZp+HpIkialTp8Ypp5ySm98FT9uhV69eUVJSEq+++mr0798/IiIKhUK8/fbb0aFDh90dc7t25Wv8pZdeinr16lV/PWclbYcbbrghrrzyyur3Fy9eHIMGDYp77703+vTpszsj7tCufB42fy1nfWZITTq8//77MWDAgOqzc/Ly04LaPOblTcOGDaNXr17x+OOPV7/07KZNm+Lxxx+P733ve9mG+weSJEmcc8458Zvf/CaefPLJ6NixY9aRasWmTZsy/zcorSOPPDL+8pe/bHHZqaeeGl26dImLLrqoTo4IERGffvppvPnmmzF8+PCso6R26KGHbvXyp6+99lrm/2+0M6ZOnRqVlZUxZMiQrKPU2Nq1a7c6DtevXz/z7xV2VpMmTaJJkybx8ccfx8yZM+Oaa67JOlKNdezYMdq0aROPP/549XCwatWq6rPA0sp0SKiJRYsWxYoVK2LRokWxcePG6tdm32+//aJp06Zx9NFHx0EHHRTDhw+Pa665JpYuXRqXXnppjB49equfEObFTTfdFP369YumTZtGVVVVjBs3LiZOnFhnXjO8b9++0aJFixgxYkR8//vfj8aNG8fPfvazWLhwYZ37h27WrFmxcOHCOOOMM7KOUmNlZWUxatSouPzyy2PvvfeODh06xOTJkyOi7rw80OzZs2POnDkxYMCAaNasWcyePTvGjBkTJ598cp15vo327dtv8X7Tpk0j4m8Ldl35ieCcOXNi7ty50b9//2jRokW8+eabcdlll8W+++5bZ57o7P3334/DDz88OnToENdee218+OGH1R+rSz8Z39ExL48uuOCCGDFiRPTu3Tu++tWvxk9+8pNYs2ZNnXny2k8//XSLn7YuXLgwXnrppWjZsuVWX995NXr06Jg+fXo8+OCD0axZs+rfdW3evHn1Ezrn3cUXXxyDBw+O9u3bx+rVq2P69Onx5JNPxsyZM7OOlkqzZs22ek6Kzc85U5eeq+I//uM/4rjjjosOHTrE4sWL4/LLL4/69evHiSeemHW01MaMGRP9+vWLCRMmxL//+7/H888/H7fddltuzlJLa9OmTTF16tQYMWJENGhQZ751q3bcccfFVVddFe3bt4+uXbvGiy++GNdff32cdtppWUerkZkzZ0aSJNG5c+d44403Yty4cdGlS5fcHuN2dEw7//zz48orr4z9998/OnbsGJdddlm0a9eu+ocBqdTKa0p8AUaMGJFExFZvTzzxRPV13n777WTw4MFJ48aNk1atWiVjx45NCoVCdqF3YPjw4UnLli2Thg0bJt26dUvuvPPOrCPV2Ny5c5Ojjz46admyZdKsWbPka1/7WvLwww9nHavGTjzxxKRfv35Zx9hp69evT8aOHZtUVlYmzZo1S4466qjk5ZdfzjpWai+88ELSp0+fpHnz5kmjRo2SAw88MJkwYULy2WefZR1tpy1cuLDOvfzjn//852TAgAFJy5Ytk5KSkmSfffZJRo0albz33ntZR0tt6tSp2zxW1KHDXZIk6Y55eXTjjTcm7du3Txo2bJh89atfTZ577rmsI6X2xBNPbPO/+YgRI7KOltrn/d2fOnVq1tFSO+2005IOHTokDRs2TCoqKpIjjzwyeeyxx7KOtUvq4ss/fvvb307atm2bNGzYMNlzzz2Tb3/728kbb7yRdawa+93vfpd85StfSUpKSpIuXbokt912W9aRamzmzJlJRCSvvvpq1lF2yqpVq5Lzzjsvad++fdKoUaOkU6dOySWXXJKsW7cu62g1cu+99yadOnVKGjZsmLRp0yYZPXp08sknn2Qd63Pt6Ji2adOm5LLLLktat26dlJSUJEceeWSN/44VJUnGz6AFAAAA1Bn5+MVRAAAAoE4wJAAAAACpGRIAAACA1AwJAAAAQGqGBAAAACA1QwIAAACQmiEBAAAASM2QAAAAAKRmSAAAAABSMyQAAAAAqRkSAAAAgNQMCQAAAEBq/w9rzrZA7yV9NgAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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6AEBWoEgAAADAv9oYd1Ijo68tENrUuLIHQkgApzAAQE5CkQAAAIB/tWpvQvomihQIAJCzUSQAAADgBjEHTsrhcKhWiQKSpM71Sujo6Yt6NrwUBQIA5HAUCQAAAEh39R4IFYP99L+Xw2Wz2ZQ3l4cGt65kOh4AwAIoEgAAAHDTTRQrF/XXBXuKfLz4kREA8H/4rgAAAJCDbT10Wh8v2HFNgdC25pU9EIoV4BQGAMCNKBIAAABysEOnLqRvokiBAABwBkUCAABADhJz4KSOnrmolpWDJEnNKhTWK03C1LbmfRQIAACnUCQAAADkAFfvgVAgj5ceKlNQeXJ5yGazqV9EGdPxAAAuhCIBAAAgG7vZJorNKhTWpeRU5cllOBwAwCVRJAAAAGRDsUfP6aOFu9hEEQCQ4SgSAAAAsqkVu9lEEQCQ8SgSAAAAsoGYA4nafPC0nql7nyQprHBeDX2ssh4IC6RAAABkKIoEAAAAFxZzIFGjFsdqeewJubvZ9FBYgfS3dagbYjAZACC7okgAAABwQVcXCNL/7YHg5eFmOBkAILujSAAAAHAhBxPP683ZW265iaLdbjecEACQ3VEkAAAAuBA/b09tijvFJooAAGMoEgAAACws5sBJzd8Sr7ceLi+bzSZ/H0+NfKqayhXxpUAAABhBkQAAAGBBMQdOatTiXemnMDxUtqAeCCsoSYqoUNhkNABADkeRAAAAYCHXFwgebja1qXGfSgTkMZwMAIArKBIAAAAsIOHcJfX9YdMNBULvRqEKCeAUBgCAdVAkAAAAWEA+Hy8dPnWBAgEAYHkUCQAAAAbEHDipKX/u1/C2VeTt6S53N5tGtKuqwDy5KBAAAJZGkQAAAJCFrt8DoUZIPnVtUPL//z2/yWgAADiFIgEAACAL3GwTxbY171OT8lyBAQDgWigSAAAAMtGl5BQ9N2X9DQVC70ahKlaAUxgAAK6HIgEAACAT5fJwVy4PNwoEAEC2QZEAAACQgWIOnNQXv8Vq6OOVFZwvtyTprYcraFArGwUCACBboEgAAADIANfvgTDu9z0a8lglSVLJwDwmowEAkKEoEgAAAO7BrTZR7PFgKcPJAADIHBQJAAAAd8HhcOjF72K0cNtRSWyiCADIOSgSAAAA7oLNZlOJgDwUCACAHIciAQAAwAkxBxI1anGsXm4cpjolC0iSXnyotDrdX5wCAQCQo7iZDjBu3DhVqVJFfn5+8vPzU7169TR//nzTsQAAACRdKRCembRGbcat0vLYExrzW2z62/Ln8aJEAADkOMZXJNx3330aNmyYwsLC5HA4NGXKFLVu3VobN25UxYoVTccDAAA5VNoKhOs3UezdKNRwMgAAzDJeJLRq1eqafw8dOlTjxo3T6tWrKRIAAIARb/+8TT+sPySJTRQBALie8SLhaikpKfrxxx+VlJSkevXq3fJ2drtddrs9C5NlnLTcrppfYgarYAZrYAZrYAZrcPUZHA6HkpOTJUmVgnz1k5tNT1QP1osPlVSx/FcKBFeYzdUfB4kZrIIZrIEZrCE7zZARbA6Hw5Fh93aXtmzZonr16unixYvKmzevoqKi1LJlyxtud+bMGfn7+ysqKko+PjwjAAAA7t2+s9KCg26qFuBQvcJXfixKSZVOXZYCvA2HAwAgg5w/f14dOnTQ6dOn5efnd0/3ZYki4fLly4qLi9Pp06c1c+ZMffXVV1q2bJkqVKhwze3SioT4+HgFBAQYSntv7Ha7oqOjFRERIU9PT9Nx7gozWAMzWAMzWAMzWIOrzbAx7pRGL92jFbsTJEnFC/jo1951tGTxYpeZ4WZc7XG4GWawBmawBmawhuwwQ0JCgoKCgjKkSLDEqQ1eXl4KDb2ycVHNmjW1bt06ff7555owYcJNb+/p6emyD14aZrAGZrAGZrAGZrAGZsh8MQdOatTiXddsotimxpU9EHJ5Xclt9RmcwQzWwAzWwAzWwAxmZWRuSxQJ10tNTdWlS5dMxwAAANnMJwt36ouluyVdWyCEBLjOHggAAJhmvEh44403FBkZqZCQEJ09e1ZRUVH6/ffftXDhQtPRAABANpCS6pC7m02S1LBsQY1ftueGAgEAADjPeJFw7Ngxde7cWfHx8fL391eVKlW0cOFCRUREmI4GAABcWNopDOWK+Oqth6/su1SrRAH9+XpjFfJjF0UAAO6W8SJh0qRJpiMAAIBs5Po9EDbFnVK/iDLy8bryYw8lAgAA98Z4kQAAAJARbreJYlqJAAAA7h3fVQEAgMv7dtV+vfvzNkk330QRAABkHIoEAADgki7aU+Tt6S5JalahiD6ev0OPVAmmQAAAIJNRJAAAAJeSdgqDl7ubJnWtLUkq4u+tVW82kZ+3a17bGwAAV0KRAAAAXMLN9kA4dOqCiubLLUmUCAAAZBGKBAAAYGk3KxDa1ryyB0JaiQAAALIORQIAALCshduO6IWpMZKuLRCKFWAPBAAATKFIAAAAlnL6gl3+ua+cpvBQmYK6L39uhYcGUiAAAGARFAkAAMASYg4katTiWB06dUHR/R6Su5tN3p7uWtz/ofSrMwAAAPMoEgAAgFFpBcLVeyBs/ueUaoTklyRKBAAALIYiAQAAGHGzAoE9EAAAsD6KBAAAkOW2/HNabcatkkSBAACAq6FIAAAAWeLomYsq7OctSapU1E/1SgWoeIAPBQIAAC6GIgEAAGSqmAMnNWrxLm2MO6UV/2mkfD5estls+u65unJ3s5mOBwAA7hBFAgAAyBRpBcLVeyCs3puoFpWKSBIlAgAALooiAQAAZKiNcac05ve91xQIbWpc2QMhJIBTGAAAcHUUCQAAIMOcviy9OmmdklMdFAgAAGRTFAkAAOCe7D1+TqUK5pUk+XtJ7WoWVarDRoEAAEA2RZEAAADuytV7ICzo+4BKB+SWJA1uVV5eXl6G0wEAgMxCkQAAANI5HA5dvHhRSUlJOn/+vJKSkm74+44Tl7X4iJf2X7xSHLjJoRGTf1JF75Pavn279uzZI3d39/T79PDwkI+Pj/LkyaM8efLc9u82GxswAgBgdRQJAABkcw6HQ0ePHlVcXJyOHTum48eP6/jx47f8+4ULF256P17B5ZQvvINyl6xx5X5TknVxxzKdXz9b3585JklKSUm5pkSQJLvdLrvd/q85PT09FRgYqEKFCqlgwYIqWLDgTf9+3333qWjRovLw4McYAABM4DswAAAuLq0o2L9//01fDhw4oIsXL17zPvny5bvmF/QaNWqk/6JeoEAB5c2b95oVAx5e3npmZpxOXUiWh5tNT9QoqpcahSkkoLWkkZKuFAbz5s1Ty5Yt5enpec3x7HZ7+qqG6/9Mezl16tQ1hcbhw4e1efNmHTt2TAkJCXI4HOn35+7urmLFiqlEiRI3faFoAAAg8/AdFgAAF5GSkqK9e/dq+/bt2rZtW/qfO3fuvGYVQb58+dJ/oY6MjEz/e0hIiAoXLqzAwECn9jD4659TqhTsLze3K6cb9DnprZ1Hzt7VJoqenp7y9/eXv7//nQ39/6WkpCgxMVHHjh3TP//8c01RsmPHDi1YsEBHjhxJv727u7tKly6tihUrqmLFiqpQoYIqVqyosmXLKleuXHeVAQAAXEGRAACABR06dEgxMTHaunVremmwY8eO9JUF/v7+qlixomrXrq3OnTurVKlSKlGihIoXL658+fLd07Gv3kRxfKcaalEpSJLUPbzkvY5119zd3dNXUFSsWPGmt7lw4YIOHDig/fv3a9++fdqxY4e2bdumSZMmKT4+XpLk5uam0NDQa8qFGjVqKCwsTG5ublk5EgAALosiAQAAw06ePKlVq1bpxx9/1KRJk7R+/fr0X3yvLgy6dOmS/gx7UFBQhm9MeHWBIEkebjbtOZ6UocfITLlz51a5cuVUrly5G96WmJio7du3p6/i2LZtmyZPnnzN/3OtWrVUo0YNubu7q0qVKipRogSbPwIAcBMUCQAAZKGUlBRt2LBBK1eu1Nq1a7Vu3Trt3r1bkuTj46P7779fXbp0Ue3atVW7dm3dd999mf7L7M0KhLY171PvRqEqVuDOTmGwqgIFCig8PFzh4eHXvD4hIUExMTFat26d1q1bp++++07x8fEaNmyYihQpojp16qh27dqqV6+e6tevr9y5cxuaAAAA66BIAAAgk+3fv1/R0dFatGiRlixZopMnTypXrlyqXr26IiMjVadOHVWrVk2xsbF65JFHbtio8G6lpDq0dl+ijp29qEK+3qpTsoDc3a4tJRwOh977ZZu2HDqdLQuEfxMQEKBmzZqpWbNmkq5sCjl16lT5+flpw4YNWrdunT755BOdPn1auXLl0gMPPJB++ypVqrBiAQCQI1EkAACQwc6cOaPff/9dixYt0qJFixQbGys3NzfVrVtXffr0UUREhGrXrn3Nhod2u1179uzJsAwLtsZr8Nztij/9f1drCPL31qBWFVTQ11tlCueVr7enbDab+keU0cJtR3JUgXA7AQEBatmypdq2bStJSk1N1fbt27V48WItWrRIgwYN0muvvabChQsrIiIi/SUoKMhwcgAAsgZFAgAA98jhcGj79u2aM2eOFixYoNWrVys5OVmlSpVSs2bN9PHHH6tRo0b3vAmisxZsjVfP7zbIcd3r409f1IvfbZAkDWxeVr0bhUqSGpUrpEblCmVJNlfk5uamSpUqqVKlSurbt68uXbqklStXatGiRYqOjtZ3330nSapcubKaNWum1q1bq379+nJ3dzecHACAzEGRAADAXUhNTdX69es1a9YszZ49W7t27VLevHkVERGhMWPGKCIiQqVLl87yXCmpDg2eu/2GEuF6J89fzpI82VGuXLnUuHFjNW7cWMOGDdOxY8e0ZMkSLVq0SNOmTdOnn36qQoUKqXXr1nriiSfUuHFjpy63CQCAq6BIAADAScnJyfrjjz80e/ZszZ49W4cOHVJgYKBat26tkSNHqkmTJvL29jaace2+xGtOZ7iVJuUKZ0GanKFQoUJq37692rdvr9TUVK1Zsya9YPryyy/l5+enRx55RI8//rhatGihvHnzmo4MAMA9oUgAAOA27Ha7Fi1apJkzZ2ru3LlKSEhQsWLF1KZNGz3xxBNq0KCBPDys8+302Nl/LxHu5Ha4M25ubqpXr57q1aun4cOHa8uWLenFU1RUlLy9vdWsWTO1adNGjz/+uHx9fU1HBgDgjrmZDgAAgNU4HA6tW7dOffr0UdGiRfXII49o9erVeuGFF7Ru3TodOHBAn3/+uR566CFLlQiSVMjXuRURzt4Od89ms6lKlSoaNGiQNm3apD179uiDDz7QiRMn1LVrVxUuXFgdOnTQ/PnzlZycbDouAABOs9ZPPwAAGHTgwAF99913mjp1qnbu3KmgoCB17txZzzzzjKpWrWo6nlPqlCygIH9vHTl98ab7JNgkFfG/cilIZK1SpUrp1Vdf1auvvqqDBw9q2rRpmjp1qqZPn67ChQurffv2euaZZ1S9enUuKwkAsDRWJAAAcrTTp0/rq6++0kMPPaQSJUroww8/VO3atbVw4UIdPHhQn3zyicuUCJLk7mbToFYVJF0pDa6W9u9BrSrI3Y1fVE0qVqyYXn/9dW3dulUxMTFq3769oqKiVLNmTVWqVEnDhg3TwYMHTccEAOCmKBIAADnS6tWr1aFDBxUuXFg9evSQl5eXvv32Wx09elRTp05Vs2bNXPbyfS0qBWlcpxoq4n/t6Qu5PNz0ZsvyalEpyFAyXM9ms6lGjRr67LPPdOjQIc2bN09Vq1bV+++/r+LFi6tp06aaNWuWUlJSTEcFACAdRQIAIMdISUnRrFmz1KBBA9WrV0/r16/XkCFDdPDgQUVHR+uZZ57JNjvqt6gUpBX/aazpz9+vz5+upnqlA3QxOVUxB06ajoZb8PDwUGRkpKKionTkyBFNnjxZFy9eVJs2bVS2bFmNHTtWSUlJpmMCAECRAADI/pKSkvTFF1+obNmyatOmjTw8PPTLL79ox44dGjhwoIoWLWo6YqZwd7OpXukAta5WVO8/WlE2m7Rg2xFtP3zGdDT8Cz8/P3Xt2lUrVqzQunXrVLt2bb3yyisKCQnRW2+9pfj4eNMRAQA5mPEi4aOPPlLt2rXl6+urQoUK6bHHHtPOnTtNxwIAZAPx8fF66623VKxYMfXt21e1a9fWunXrtGzZMrVq1Upubsa/DWaZsMK+eqRKsCRp9JJYw2lwJ2rVqqXp06drz5496tKli0aPHq0SJUqoe/fu2rp1q+l4AIAcyPhPUMuWLVPv3r21evVqRUdHy263q1mzZizdAwDcte3bt6tbt24qUaKExowZo65du2rPnj2aPn26atWqZTqeMX0ah7IqwYUVL15cI0eO1D///KOhQ4cqOjpalStXVosWLbRkyRI5HDe7TgcAABnPeJGwYMECde3aVRUrVlTVqlX1zTffKC4uTjExMaajAQBczLZt2/T000+rUqVKWrx4sYYOHaqDBw9q5MiRKl68uOl4xrEqIXvw9/fXgAEDtHfvXn333Xc6duyYmjZtqgceeECLFy+mUAAAZDoP0wGud/r0aUlSgQK3vr613W6X3W7PqkgZKi23q+aXmMEqmMEamMEaNm/erE8++UQrV65UsWLFNHbsWHXu3FleXl6SXGO2rHocej5YQv/767AWbDuiv+ISVT7I95a3dTgcSkpK0tmzZ3X27Nlr/n727Fldvnz5mtsnJydr27ZtOnLkiDw8/u9HDA8PD+XNm1e+vr7y9fVV3rx50/+dN29eS10dw9U+H5588km1a9dOCxYs0JAhQxQREaF69eqpRYsWatq0qel4d83VHoebYQZrYAZrYAZryMjsNoeFauvU1FQ9+uijOnXqlFasWHHD28+cOSN/f39FRUXJx8fHQEIAgJXExcVpxowZWrlypQIDA9W2bVs1btxYnp6epqNZVnJysr7flSIv+1kFn9+rs6cSlJiYqJMnTyoxMVGJiYk6c+aMLly4oIsXL2bJs9u5cuVS7ty55evrq/z586tAgQIqUKBA+t+v/jNXrlyZnsdVORwOxcTE6IcfflBsbKzKly+vp59+WlWqVJHNZjMdDwBg2Pnz59WhQwedPn1afn5+93RflioSevbsqfnz52vFihW67777bnh7WpEQHx+vgIAAAwnvnd1uV3R0tCIiIlz2B11msAZmsAZmMGPbtm368MMPNXPmTBUrVkwDBw5UkSJF1LJlS5eZ4XoZ+ThcvHhRu3fv1q5duxQbG6vY2Fjt2rVLe/fu1fHjx68pB9zd3RUUFKQiRYooKChIQUFBKliwoPz8/NJXDNzqT29v72t+QbXb7Vq8eLGaNm16zQyXL1/W2bNnde7cuRv+TPv72bNnlZCQoPj4+GteLl68eM1s+fLlU4kSJRQWFqYyZcqk/1mmTJl7/qEobQZX+3y43uXLlzVs2DDNnz9fMTExql+/vt555x01btzYZQqF7PA4MIM1MIM1MIM1JCQkKCgoKEOKBMuc2vDSSy/pf//7n/7444+blghX8/T0dNkHLw0zWAMzWAMzWIMrzLBjxw699957mjFjhooVK6bx48era9eustlsmjdvnkvM8G/uZIakpCRt2rRJmzZt0s6dO7Vz507t2rVLBw4cSC8L/P39VbZsWZUtW1aRkZEqWrSogoODFRQUpODgYAUEBGTYqQUeHh5yd3dX7ty5r5khd+7c8vf3v+P7czgcOnXqlOLj43X48GHFx8fr0KFD2rt3r3bt2qUVK1ZccxnEwoULq2zZsipTpozKli2rKlWqqGbNmnf15IOrfyzVqlVL77zzjhYvXqz33ntPkZGRatCggd5//301btzYdDynufrjIDGDVTCDNTCDWRmZ23iR4HA49PLLL2v27Nn6/fffVbJkSdORAAAWk5CQoHfeeUcTJ05U0aJF0wsEV9oD4V4lJydry5YtWrVqldasWaP169drx44dSk1Nlaenp0JDQ1W2bFk9+eST1/wyHRgYeMtnoedvidfnUSs18slqqhB878/mZzSbzab8+fMrf/78qlChwk1vc+bMGcXGxqaXKDt37tSGDRs0ffr09CtAFS9eXDVr1lTdunVVr1491apVS7lz587KUYyw2Wxq2bKlIiMjNX/+fL333ntq0qSJIiMj9dlnn6ls2bKmIwIAXJTxIqF3796KiorSzz//LF9fXx05ckTSlWdQcsI3eQDAraWmpmrKlCl67bXXdPnyZX388cd66aWXcsR58mfPntUff/yhlStXatWqVVq3bp2SkpLk4eGhatWq6cEHH1S/fv1Us2ZNVaxYMb1UuRPzth7RjiNnNXpJrMY/UzMTpsh8fn5+qlmzpmrWvDZ/amqq9uzZo5iYGK1fv17r16/X+++/f83/Yb169VSvXj01atRIRYoUMTRB5ru6UJg1a5YGDhyoKlWq6LXXXtObb77Jz1sAgDtmvEgYN26cJKlhw4bXvP7rr79W165dsz4QAMAStmzZol69emnFihXq2LGjPvnkk2z9y17aL74ff/yxFi9erJUrVyo5OVlFihRRvXr1NGjQINWrV081a9bMsF/8+jQOTb+Cw/bDZyy5KuFuubm5KSwsTGFhYXr66aclXVnVsXXrVq1atUqrVq3S/PnzNWbMGElS1apV1bx5czVp0iTbrnCx2Wxq06aNWrZsqY8++kgff/yxpk2bpi+++EItW7Y0HQ8A4EKMFwkW2usRAGAB586d0+DBg/XZZ58pLCxMv/32mxo1amQ6VqY4evSoFi1apIULFyo6OlrHjh1Tnjx51LhxY40aNUrNmzdX6dKlM22DvLDCvnqkSrDmbj7s0qsSnJW2EqFatWrq2bOnpCuPweLFi7Vw4UJNmTJFw4cPl7e3txo3bqzIyEg1b95coaGhLrNJoTNy586t999/X506dVLv3r318MMP6/HHH9fnn3+uYsWKmY4HAHABxosEAACkK8XyrFmz1LdvX504cULvv/++BgwYcFdL9q3K4XBo48aNmjlzpubPn69NmzZJkqpXr64uXbrIz89P/fr1U548ebIsU3ZeleCMwoULq2PHjurYsaNSU1MVExOjL774QnFxcerfv7/sdrtKliyp5s2b64knnlCjRo3k4ZE9fnwqU6aMFi1apBkzZqhfv34qX768Bg0apL59+7rsRmIAgKzhZjoAAAD79+/Xww8/rLZt26patWravn273nzzzWxRIjgcDm3YsEGvv/66QkNDVbNmTU2cOFGVKlXS1KlTdeTIEW3YsEFDhw5V5cqVs3zmtFUJkjR6SWyWHttq3NzcVK1aNT3xxBNatGiREhMT9csvv6hly5ZauHChmjVrpiJFiqhHjx6Kjo5WcnKy6cj3zGaz6amnntLff/+tZ599Vq+//rqqV6+ulStXmo4GALAwigQAgDGpqakaN26cKlWqpK1bt2rOnDn65ZdfXP4KPjcrD7766is1adJEixYtUnx8vKZOnapOnTqpcOHCpuOqT+NQ2WzSgm1HtPvYWdNxLCNv3rxq1aqVvvjii/SNG59//nktWbIk25UK/v7++vzzz7V+/XrlyZNHDzzwgPr166fz58+bjgYAsCCKBACAEfv27VPTpk3Vq1cvdezYUVu3blXr1q1d+lz0TZs23bY8mDhxoiIiIiy3bDyssK9eaRKmr7vWVumCeU3HsSSbzaYaNWroo48+0u7du29ZKixevFgpKSmm49616tWr688//9SIESM0fvx4VatWTStWrDAdCwBgMRQJAIAslbYKoXLlytqzZ4+io6M1YcIE+fm55rn5J0+e1NixY1WjRg1Vr17dZcqD6/VtWkaNyhVy6SInq9yuVIiIiFDJkiU1aNAg7d+/33TUu+Lu7q5XX31VmzZtUmBgYPqlRlmdAABIQ5EAAMgy169C2LJli5o2bWo61h1zOBz6/fff1alTJwUHB+uVV15R8eLFNXfuXJcqD27lot11n1HPateXCmvWrFFkZKRGjhypUqVKqVmzZpoxY4YuXbpkOuodK1u2rJYvX87qBADADSgSAACZzuFwaNKkSS6/CuHUqVP69NNPFRYWpkaNGmnt2rUaPHiw/vnnH82ePVuPPPKIy5YH0pXH6YvfYnX/R0u0/fAZ03Fcjs1mU506dTRhwgTFx8dr0qRJSkpK0lNPPaWiRYtqwIABLrdK4WarEwYMGKDLly+bjgYAMIgiAQCQqc6dO6dnnnlGzz33nJ5++mmXXIWwe/duvfzyy7rvvvv0xhtvqF69elq2bJl27typ1157TUWKFDEdMUPYbDbtPHpOp87bc/wVHO5V3rx51a1bN61cuVLbt29Xly5dNHnyZJUuXVpt27Z1uasipK1OGD58uEaPHq0HHnjA5UoRAEDGoUgAAGSabdu2qVatWvr55581bdo0ffXVVy61CmHXrl3q3LmzypYtqx9++EGvvvqq4uLiNHXqVD344IPZcj+Bq6/gwKqEjFG+fHl9+umnOnjwoMaOHautW7cqPDxcjRs31rJly0zHc5q7u7sGDBigFStW6NixY6pevbr+97//mY4FADCAIgEAkCl+/vln3X///fL09NT69evVoUMH05GcllYglC9fXkuWLNHnn3+uuLg4DR48ONusPriVsMK+eqRKsCSxKiGD5cmTRy+++KK2b9+u2bNn6+TJk2rYsKHLFQp16tTRhg0b9OCDD+rRRx/Vhx9+KIfDYToWACALUSQAADJUamqqhgwZoscee0zNmjXTqlWrVLZsWdOxnHKzAmHPnj166aWX5O3tbTpelmFVQuZyc3PTY489pg0bNmjOnDkuWSjkz59fs2fP1rvvvqu33npLTz31lJKSkkzHAgBkEYoEAECGOXfunJ588km9++67ev/99/Xjjz8qb968pmP9KwqEa7EqIWvYbDa1bt3aZQsFNzc3vffee/rpp580b948NWjQgH0TACCHoEgAAGSIffv2qX79+lq4cKFmz56td955R25u1v42ExsbS4FwC2mrEqL/PqrDpy6YjpOt3a5QWL58uel4/+qJJ57QqlWrdObMGdWuXVu///676UgAgExm7Z/wAAAu4bffflOtWrWUlJSkVatW6bHHHjMd6bYSExPVt29fVahQgQLhFsIK++r91pUU3e9BBefLbTpOjnCzQuHBBx/U448/rthYa68MqVy5statW6cqVaqoadOmGjt2LPsmAEA2RpEAALhrDodDY8aMUbNmzVSjRg2tW7dOlSpVMh3rli5fvqxRo0YpNDRUkydP1pAhQ7R7924KhFt45v7iKlXQ+qemZDdXFwrTp0/Xhg0bVKFCBfXr10+JiYmm491SQECAFi5cqJdeekkvvfSSevTooUuXLpmOBQDIBBQJAIC7cunSJT333HPq06eP+vTpo/nz56tAgQKmY92Uw+HQnDlzVLFiRb366qt68sknFRsbq9dff125c/NsuzOOnrloOkKOY7PZ9PTTT2vHjh0aMmSIJk2apNDQUI0aNUqXL182He+mPDw8NGrUKE2ePFnffvutGjdurCNHjpiOBQDIYBQJAIA7dvLkSTVu3FjTpk3TlClTNHLkSHl4eJiOdVO7du1SkyZN9Pjjj6tUqVLavHmzxo8fr8KFC5uO5hJSUx3q/8Mm1R/2G1dwMCR37tx6/fXXFRsbq3bt2unVV19VpUqVtGTJEtPRbqlbt25atmyZ9u3bp1q1amnbtm2mIwEAMhBFAgDgjpw8eVLNmjXTjh07tGzZMnXu3Nl0pJuy2+366KOPVKVKFcXFxWnevHlauHChpU+9sCI3N5vsqQ6lpDq4goNhhQsX1oQJE7R582YFBweradOmevbZZ3Xy5EnT0W7q/vvv1/r16xUQEKBGjRpRJgBANkKRAABwWlqJsHfvXi1ZskR169Y1HemmNmzYoNq1a+udd97RK6+8or/++kuRkZGmY7mstCs4LNh2hFUJFlCpUiX99ttvmjhxombOnKny5cvrp59+Mh3rpoKDg7VkyRIFBwdTJgBANkKRAABwyvUlQrVq1UxHukFqaqqGDx+u+++/X5K0du1affzxx/Lx8TGczLWFFfbVI1WCJYlVCRbh5uam559/Xn///bfuv/9+tW3bVt27d9fZs2dNR7tBYGCgFi9eTJkAANkIRQIA4F+5Qolw4sQJtWjRQq+//rr69euntWvXqkaNGqZjZRusSrCm4OBgzZ49W5MnT9aMGTNUvXp1rVu3znSsG1AmAED2Ys2dsQAAluEKJcLs2bPVt29f+fn5afHixWrcuLHpSC7P4XDo/PnzSkxMVEJCghITE1U1f7I2JXqo93//p1qXNiopKema90lNTdWBAwc0f/58ubn933MVuXLlUoECBRQQEKACBQqkv6T928/PTzabLatHzDZsNpu6deum8PBwdezYUQ899JCeeuopNW/eXJ6enqbjpUsrE5o2bapGjRpp6dKlqlixoulYAIC7QJEAALglq5cISUlJ6tu3r7766ivdf//9mj17tooUKWI6lss4efKkYmNjtXv37mv+jIuLU0JCwg2XGPQMKKagZ8dq7zk3HVq8WHm9bNcUAA6HQ6dPn9bRo0evef2FCxd08uRJJSQkyG6335DD3d1dBQoUUHBwsMLCwhQaGnrNn0WKFKFocEJYWJhWrlypt99+WyNGjFBcXJymTZumYsWKmY6WjjIBALIHigQAwE1ZvUSIiYlRhw4d9M8//2jcuHEqUqSIAgICTMeypGPHjmnNmjXasGHDNYVBYmJi+m0KFSqksLAwlS9fXpGRkQoMDLzp6oFVB88rPKygfL2fvuE4drtd8+bNU8uWLW/6TLjD4VBSUtI1qxzSXhISEnTw4EHFxsYqKipKBw8elMPhkCTlyZNHoaGh6cVClSpVVLduXZUsWZKC4Tqenp764IMP5OvrqwkTJqhKlSqaOHGi2rVrZzpaOsoEAHB9FAkAgBtYuURITU3VJ598orfffluVK1fWhg0bVKpUKc2bN890NEu4cOGCNmzYoDVr1mjNmjVau3at9u/fL0kKCAhQ2bJlVa5cObVq1eqaZ/79/Pycuv/IfPnuOpvNZlPevHmVN29ehYSE3Pa2Fy9e1N69e29YMTFt2jQNGzZM0pVfSOvUqaO6deuqbt26qlOnjvLnz3/X+bKTypUra/369XrppZf05JNPqlu3bvr888/l6+trOpokygQAcHUUCQCAa1i5RDh06JCeeeYZ/f777xo4cKCGDBkiLy+vmy6XzykOHTqkJUuWaPXq1VqzZo3++usvJScny9vbWzVr1tQTTzyR/st28eLFM+wZfIfDob/+Oa2qxfJlyP1dz9vbWxUqVFCFChVueNvx48e1du1arV27VmvWrNGoUaN08uRJSVKZMmXSi4VGjRqpfPnyOXbVQoECBTRjxgx98803evnll/XHH39o+vTpql27tulokigTAMCVUSQAANKdP39eLVq0sGSJsGHDBrVs2VLu7u45fkPFPXv26Mcff9SPP/6oDRs2SJLKly+vOnXq6LnnnlPdunVVuXLlTNto71Jyip6csFqbD57SvD4PqEKwc6sZMkrBggX18MMP6+GHH5Z0pdSIjY29ZhXG999/L7vdrhIlSqht27Zq166dateuneNKhes3YgwPD9fXX3+tDh06mI4m6cYyYfXq1SpVqpTpWACAf0GRAACQdOWXseeff15bt27V8uXLLVUiLF26VK1bt1b58uU1d+5cFSpUyHSkLJdWHsyYMUMbN26Uj4+PHn74Yb366qtq3rx5lu4PkcvDXSEFfLT54CmNXhKr8c/UzLJj34zNZlOZMmVUpkwZPfPMM5KunOLx+++/65dfftG3336rTz75RMWLF1e7du1yZKkQFhamFStWqEePHurYsaMSEhL08ssvm44l6f/KhHr16umxxx7TqlWr5OXlZToWAOA23P79JgCAnODzzz9XVFSUJk+erBo1apiOk27WrFlq0aKF6tWrpyVLluSoEmHPnj0aNmyYatSoodDQUA0ZMkShoaH68ccfdezYMc2YMUMdOnQwsslkn8ahstmkBduOaPvhM1l+/H+TO3duRUZGaty4cemnf0RGRurbb79N36hx4MCBWrt2bfqmjtmdl5eXJk+erFdffVV9+vTRu+++a5nZAwMDNWfOHO3du1fdu3e3TC4AwM1RJAAAtHnzZr3++usaOHCgnnrqKdNx0n355Zdq166dHn/8cc2dO1d58+Y1HSnTJScna9asWWrSpMkty4O2bdsqT548RnOGFfbVI1WCJUmjl8QazfJvPDw81Lhx41uWClWqVNG4ceN09uxZ01EznZubmz755BMNHz5cQ4YMUa9evZSSkmI6liSpYsWKmjJlimbMmKFPP/3UdBwAwG1QJABADrd//3598sknaty4sT766CPTcSRdOc3iww8/VI8ePdSzZ09FRUVl+6XOR44c0Q8//KCwsDC1adNGFy9e1NSpUy1VHlzP6qsSbubqUuHw4cNatGiRwsLC9NJLL6lo0aJ65ZVXdPDgQdMxM93AgQM1efJkTZw4UU8//bQuXbpkOpIkqU2bNnrzzTf19ttva+PGjabjAABugSIBAHKw8+fPq127dvLx8dF3330nd3d305GUmpqq/v3766233tJ7772nMWPGyM0te367cjgcWr58udq3b6/SpUvrp59+UvPmzbVx40atXLlSnTp1slx5cDVXWpVwM+7u7oqIiNCsWbO0f/9+vfLKK5o1a5ZefvllRUREaObMmdn6iiDdunXTrFmzNHfuXD388MOWWZHx/vvvq1mzZvr000+1Z88e03EAADeRPX8yAwD8q7TNFXft2qXXX39dBQoUMB1JdrtdXbp00eeff66xY8dq0KBB2XJDvHPnzmn8+PGqWrWqHnzwQcXExOijjz7S5MmTNX78eEttdPlv0lYlHEg8rwuXrbFE/m4UK1ZMQ4YM0Z49e9S/f38lJyerXbt2KlGihAYPHqz4+HjTETNF69attXDhQq1bt06NGzfW8ePHTUeSu7u7pkyZorx586pdu3ZKSkoyHQkAcB2KBADIoT777DNFRUVp4sSJKlmypOk4On/+vB577DH98MMPmj59unr16mU6UoY7deqUBg8erPvuu0+9e/dWqVKltGjRIu3YsUN9+vRxyT0gwgr7albP+vr15XDl9jK/ouVeeXl56cEHH9TSpUu1adMmPfLIIxo+fLhCQkL0/PPPa9++faYjZriHHnpIy5Yt08GDBxUeHq4DBw6YjqT8+fPrjTfe0L59+9h8EQAsiCIBAHKg3377TQMHDrTM5oonT55URESEli1bpl9//dUSmTJSWoFQokQJDRs2TF27dtW+ffs0Z84cRUREuPypG9VD8svNLfutHKlataomTJigw4cP66OPPtIvv/yiMmXKZMtCoVq1alq5cqXsdrsaNGigbdu2mY6k4sWLa9KkSZoxY4ZGjBhhOg4A4Cqu/ZMLAOCO7d+/X08++aSaNGliic0VT548qaZNm2rHjh367bffFBERYTpShrm+QOjWrZv27t2rUaNGKSQkxHS8DHf+crL+Ssx+hYK/v78GDBigvXv3atiwYdm2UChdurRWrlypgIAANWzYUFu3bjUdSU888YTefPNNvfHGG1q0aJHpOACA/48iAQByELvdrnbt2snPz0/Tp083vrnihQsXFBkZqQMHDui3335TnTp1jObJKCkpKfrvf/+rUqVKXVMgfPbZZwoKCjIdL1Ocu5Sspp+t0KSd7vo73hqb9mW0PHny6NVXX72hUBg4cKBlNiq8V0FBQfrtt9903333qXHjxpYoSt5//301b95cTz/9tA4fPmw6DgBAFAkAkKMMHz5cGzZs0Pfff6+AgACjWRwOh7p3766//vpLCxcuVNWqVY3mySirV69WnTp11Lt3bz3xxBPZvkBIkzeXh+qUvLJh5xe/Z++d9q8uFN577z2NHTtW5cqV0/fff58tzuUPCAhQdHS0fH199eijjxovSdzd3TV16lR5eXnphRdeyBb/xwDg6owXCX/88YdatWql4OBg2Ww2zZkzx3QkAMiWtmzZosGDB+u1116zxDP/H3zwgb7//nt9++23qlmzpuk49+zMmTN6/vnnVa9ePUnSqlWr9NVXX2X7AuFqvRuWkk0OLdp+TNsPnzEdJ9PlyZNHb731lv7++2/VrVtX7du3V5MmTSzxLP69CgwM1Ny5cxUXF6cOHTooJcXsFTkCAgI0YcIE/e9//9PUqVONZgEAWKBISEpKUtWqVTV27FjTUQAg20pOTla3bt0UFham9957z3QczZw5U++++67ef/99tW3b1nSce7Z8+XJVrVpVP/zwg8aOHau1a9fq/vvvNx0ry4UVyqvqAVeeLR69JNZwmqxTvHhxzZo1S/Pnz9e+fftUpUoVff311y7/zHmFChX0/fffa968eXrjjTdMx1Hr1q3VsWNHvfLKK9n2cpwA4CqMFwmRkZH64IMP9Pjjj5uOAgDZ1pgxY7RhwwZNnjxZuXLlMpolJiZGnTt31tNPP623337baJZ7dfnyZb355pt66KGHVLRoUW3evFm9evUyvveESc3vS5XNJi3YdiRHrEq4WosWLbR582a1bdtW3bt3V9u2bXXixAnTse5JZGSkPv30U40YMULffPON6TgaPXq0vLy81LdvX9NRACBH8zAd4G7Y7XbZ7XbTMe5KWm5XzS8xg1UwgzW4wgxxcXF655131KtXL9WoUeOGrFk5Q3x8vFq3bq2KFStqwoQJSk5OzpD7NfE4/P333+ratWv6KSMDBw6Uu7v7XWdwhY+lf2O321XER4qsUEjzth3TqMU7NbZ9NdOx7si9Pg65c+fWxIkT1aJFC/Xq1UuVK1fWl19+qebNm2dkzNvK6I+lXr16acuWLerRo4dKlCihBg0aZMj93s6tZvD19dWIESPUpUsXdezYUZGRkZme5W5ll8/pq/90RcxgDcxgDRmZ3eaw0Lo7m82m2bNn67HHHrvp28+cOSN/f39FRUXJx8cna8MBgAtyOBz68MMPtWfPHn3xxRdGv3ZeunRJb7/9thITEzVixAgVKFDAWJZ74XA49Ouvv+rbb79VoUKF1LdvX4WGhpqOZSlHzksfb3ZXlQCHOoelyj37XRHSKYmJiRozZow2btyoli1bqkuXLsZXBN0tu92u9957TwcPHtSIESNUuHBhY1kcDofee+89HT58WGPGjJG3t7exLADgSs6fP68OHTro9OnT8vPzu6f7cskVCY0aNTK+2/jdstvtio6OVkREhDw9PU3HuSvMYA3MYA1Wn2HOnDlat26dfvjhh1ueQpYVMzgcDj3zzDP6559/9Pvvv6t69eoZev9Z9TgcPnxYPXr00KJFi9SrVy99+OGHGVbOWP1jyRlpMzzTOkKRESkK8ne9X/Ay+nHo2LGjxo0bp9dff1179uzRt99+m+Ef/9fLrI+l8PBwNWjQQKNHj9Yff/whX1/fDLvv6/3bDOXKlVP16tW1bt06ffTRR5mW415kp89pZjCLGawhO8yQkJCQYfflkkWCp6enyz54aZjBGpjBGpghc5w5c0b9+vVTq1at1K5dO9lst39aODNnGDJkiGbMmKGZM2dm6hUjMnOGn376ST169JCXl5fmz5+vFi1aZMpxrPixdKc8PT0VEujaKwcz8nF45ZVX1KxZM3Xs2FENGjTQ4MGD9Z///CfT99LI6I+lIkWKaO7cuapXr566dOmiOXPmGJuhXLlyeuedd/Tuu++qc+fOqlKlSqbmuBfZ5XOaGcxjBmtw5RkyMrfxzRYBAJnjnXfe0alTp/TFF1/8a4mQma6+QkObNm2M5bhbFy5c0LPPPqu2bduqYcOG2rJlS6aVCNnRwcTzmrpqv+kYxpUvX16rV6/WwIED9c4776hhw4Y6fPiw6Vh3zEpXchgwYIDKli2rHj16KDU11WgWAMhpjBcJ586d06ZNm7Rp0yZJ0r59+7Rp0ybFxcWZDQYALmzbtm0aM2aMBg8erJCQEGM59uzZoy5durjsFRrOnTun5s2bKyoqSpMmTdLMmTMVGBhoOpbLOHHukpp8ukzv/Lwtx13B4Wa8vLz04YcfatmyZdq3b5/q1q2r3bt3m451x66+ksPs2bON5fDy8tKECRO0Zs0aTZkyxVgOAMiJjBcJ69evV/Xq1dPPF+zfv7+qV6+ud99913AyAHBd77//vooXL66XX37ZWAaHw6FevXqpUKFC+uqrr4yuirgb586dU8uWLbVp0yYtWbJE3bt3d7kZTAvMm0vNKxWRJI1eEms4jXWEh4dr7dq18vHxUaNGjVyyTHjllVfUqlUrvfTSSzp79qyxHOHh4WrTpo0++OADl95JHQBcjfEioWHDhnI4HDe8WOFaxQDgirZu3aoff/xRb731lry8vIzlmDFjhhYtWqSxY8cqT548xnLcjatLhAULFqh+/fqmI7msPo1DZbNJC7YdYVXCVYKDg7V06VKXLRNsNpvGjBmjU6dOGX/y591339XevXv13XffGc0BADmJ8SIBAJCxhgwZouLFi6tz587GMpw+fVr9+vXTE088oZYtWxrLcTcoETJWWGFfPVIlWBKrEq7n6mVC8eLFNWjQII0ePVobN240lqNKlSqsSgCALEaRAADZiFVWI7zzzjs6e/asPv/8c2MZ7gYlQuZgVcKtuXqZ0K9fP5UvX149e/Y0uuEhqxIAIGtRJABANmKF1QgxMTEaO3asBg8erPvuu89YjjtFiZB5WJVwe65cJnh6emr8+PFas2aNvvzyS2M5WJUAAFmLIgEAsgkrrEZISUnRiy++qMqVK6tPnz5GMtwNSoTM16dxqHy9PVSmcF45HA7TcSzHlcuE8PBwde/eXa+//rqOHj1qLAerEgAg61AkAEA2YYXVCOPHj9f69es1btw4eXh4GMtxJygRskZYYV+tfbOp+jcry9UvbsGVy4SPP/5Y7u7uGjBggLEMrEoAgKxDkQAA2YAVViMcOXJEb775pnr06KF69eoZyXCnKBGyVm4vd9MRLM9Vy4TAwECNGDFC3333nZYuXWosB6sSACBrUCQAQDZghdUI/fv3V65cufTRRx8Zy3AnLl26pEcffZQSIYs5HA6t3H1Cn0XvMh3Fsq4uExo3bqx//vnHdCSndOnSReHh4erZs6cuXbpkJAOrEgAga1AkAICL27t3r3788Ue98cYbxlYjrF27VtOnT9eIESNUoEABIxnu1GuvvaY///xTv/76KyVCFjqYeEGdJq3R50tiuYLDbQQHB+u3336TzWZTu3btlJKSYjrSv3Jzc9O4ceO0e/duTZgwwViOtFUJM2fONJYBALI7igQAcHHffvut8ubNq06dOhnLMHz4cJUpU8Zohjvxxx9/aPTo0froo4/0wAMPmI6To4QE+HAFBycVLVpUUVFRWrNmjT777DPTcZxSqVIltW/fXp9++qmxFQFVqlRReHi4vvnmGyPHB4CcgCIBAFxYamqqpkyZoieffFI+Pj5GMsTGxmrWrFkaMGCA3N2tfw58UlKSunfvrgYNGrjUlSWykz6NQ2WzSQu2HWFVwr9o0KCB+vbtq7fffls7duwwHccpAwcOVFxcnH788UdjGbp27aro6GiXOS0EAFwNRQIAuLBVq1Zp//79RvdG+PTTT1WoUCE988wzxjLciTfffFOHDh3S119/7RLFR3YUVtiXVQl34IMPPlBISIi6d+/uEqc4VKlSRS1atNDw4cONXeqzbdu28vLy0g8//GDk+ACQ3VEkAIALi4qKUrFixRQeHm7k+EePHtU333yjV155Rd7e3kYy3Im0Uxo+/PBDhYWFmY6To7EqwXk+Pj76+uuvtXr1ao0aNcp0HKe89tpr2rx5s6Kjo40c39/fX4888oiioqKMHB8AsjuKBABwUXa7XTNmzFD79u3l5mbmy/no0aPl6empF1980cjx7wSnNFgLqxLuzNWnOOzcudN0nH/VsGFD1apVSx9//LGxDB07dtSGDRtc5pQQAHAlFAkA4KKio6N14sQJdejQwcjxz549q//+97/q0aOH8ufPbyTDnXjrrbc4pcFi+jQOVWihvGpRqYjpKC7hgw8+ULFixdStWzfLn+Jgs9n02muv6bffftP69euNZIiMjJS/vz+rEgAgE1AkAICLioqKUoUKFVSlShUjx//qq6907tw59e3b18jx78Ty5cs5pcGCwgr7Krrfg3qselHTUVyCq53i8MQTT6h06dIaMWKEkeN7e3urTZs2ioqKMrZXAwBkVxQJAOCCkpKSNGfOHHXs2FE2my3Lj2+32zVy5Eh17NhRxYoVy/Lj34mkpCR169ZN9evX55QGCzLx8evKXOkUB3d3dw0YMEAzZ87Unj17jGTo2LGj9uzZo7Vr1xo5PgBkVxQJAOCCfvnlFyUlJal9+/ZGjv/jjz/qn3/+0YABA4wc/05wSoP1XbSn6NtV+/Xuz1tNR3EJrnSKQ5cuXVSgQAFjKygeeughBQUFcXoDAGQwigQAcEGzZ89WnTp1VLJkSSPH/+abb9SoUSNVqlTJyPGdFRsbq9GjR+uDDz7glAYL++fkeQ36ZZu+XXWAKzg4Ie0Uh1WrVun77783Hee2cufOreeee07fffedkpOTs/z47u7uevLJJzVr1ixObwCADESRAAAuxuFwaPny5WrcuLGR4587d07Lli3TY489ZuT4d+Lzzz9XYGCgevfubToKbiO0EFdwuFMNGjRQRESERo4caflfkB977DGdOnVKq1evNnL8Ro0a6Z9//lFcXJyR4wNAdkSRAAAuZu/evTpy5IgeeOABI8dfunSpLl++rMjISCPHd1ZiYqK+/vpr9erVS97e3qbj4F/0aRwqm01asO2Ivl8bp583HdKqPQlKSbX2L8km9e/fXxs2bNDy5ctNR7mtWrVqKSAgQPPnzzdy/AYNGkiSVqxYYeT4AJAdUSQAgItZsWKFbDab6tWrZ+T48+fPV+nSpS1/qsCXX36plJQU9ezZ03QUOCGssK9qhly5jOjrs7bole83qf2XqxX+8W9asDXecDprat68uSpUqKDPPvvMdJTbcnd3V/PmzY0VCYGBgSpfvjxFAgBkIIoEAHAxy5cvV6VKlZQ/f/4sP7bD4dD8+fMtvxrh8uXLGj16tDp16qTChQubjgMnLNgar/UHTt7w+iOnL6rndxsoE27CZrOpX79++vnnn7V7927TcW6rZcuW2rhxo+LjzTyO4eHhll+5AQCuhCIBAFzMihUrFB4ebuTYO3bs0P79+y1fJPz44486fPiw+vbtazoKnJCS6tDgudtv+ra0ExsGz93OaQ430bFjRwUGBhq7KoKzmjdvLpvNpgULFhg5fnh4uLZt26bExEQjxweA7IYiAQBcyPHjx7Vz505jRcL8+fOVK1cuNWzY0MjxnfXFF1+oadOmlr+qBK5Yuy9R8acv3vLtDknxpy9q7T5+Cbxe7ty59eKLL2rKlCk6e/as6Ti3FBgYqNq1axs7vSHta+aff/5p5PgAkN1QJACAC1m5cqUkGS0SGjZsKB8fHyPHd8Zff/2l1atXszeCCzl25tYlwjW3O+vc7XKa5557TufPn9f06dNNR7mtyMhIRUdHG7kMZMmSJRUUFMQ+CQCQQSgSAMCFrFixQiEhIQoJCcnyY587d05//PGH5U9rmDhxoooUKaJWrVqZjoJ/4XA4tOTvoxrl5CUfC/ly9Y2bCQkJUWRkpCZOnGg6ym1FRkYauwykzWbTAw88QJEAABmEIgEAXMjy5cuNrUZIu+xjy5YtjRzfGefPn9fUqVPVvXt3eXp6mo6DW0grEB79YqWenbJe+04kyXab29skBfl7q07JAlkV0eW88MILiomJUUxMjOkot2T6MpDh4eFat26dLl5kZQsA3CuKBABwEampqdq0aZPq1Klj5PgrVqxQsWLFLH3Zx99//11nzpxRly5dTEfBLWw+eCq9QNhy6LR8vNz14kOlNbxtFdmkGwqFtH8PalVB7m63qxtytsjISBUsWFCzZ882HeWW3N3d1bhxY2OrAurUqaPLly9r27ZtRo4PANmJh+kAAADnHD16VJcvX1bJkiWNHD82NlblypUzcmxnxcTEKCAgwNJlR06Xy9MtvUDoXK+Enn+gpALy5pIk+Xp7aPDc7ddsvFjE31uDWlVQi0pBpiK7BA8PD9WpU8fSKxIkqVy5csaKhLSvnQcPHlTNmjWNZACA7IIiAQBcRFxcnCQZ2R9Bknbv3q0HHnjAyLGdtWHDBtWsWVM2G89cZ5WUVIfW7kvUsbMXFeDjoauv0OhwOPTbjmOKPXZOLz5UWpJUroifPnuqqh4MK5heIKRpUSlIERWKpN9fId8rpzOwEsE5NWvW1Lhx4+RwWPcymWFhYYqPj1dSUpLy5MmTpccuWLCgvL2907+WAgDuHkUCALiItB9+ixcvnuXHTk1N1e7du9WtW7csP/ad2LhxI6c1ZKEFW+NvWEGQz8tdHiWOyCeXl0YtjtWWQ6fl4WbTw5WDVKzAlat9PF79vlvep7ubTfVKB2R69uyoZs2aOn78uP755x/TUW4pNDRU0pVismrVqll6bJvNppCQEB04cCBLjwsA2RFFAgC4iLi4OOXNm1f58uXL8mPHx8frwoULlj5lIDExUYcPH2bJchZZsDVePb/boOuf+z51WXr5+7/S/53b012d6xdX3lz8yJHZ0j72Y2Ji5OXlZTjNzaV9DTFRJEhXVnSxIgEA7h3f1QHARcTFxSkkJMTIsv3Y2CuX57NykbBnzx5JV3aGR+ZKSXVo8NztN5QIV/zfx+fzD5bUiw+WvuEUBmSO4OBgFSlSRBs2bND9999vOs5NBQQEKF++fOlfU7JaSEiItm7dauTYAJCdcNUGAHARBw4cMLo/gpubm7GNHp2xZ88eBQQEGPs/yknW7ku85nSGW2lctjAlQhay2WyqWbOmNm7caDrKLdlsNoWGhhotEliRAAD3jiIBAFxE2ooEE2JjY1W8eHHLLpeWrhQJNWrUYKPFLHDs7L+XCHdyO2ScmjVrasOGDZbfcHH37t1Gjh0SEqIjR47o0qVLRo4PANkFRQIAuAjTRYKVT2uQrhQJ1atXNx0jRyjk652ht0PGSdtw8cSJE6aj3FJYWJjRFQmSLL0hJQC4AooEAHABSUlJSkhIMHpqQ9pu61YUHx+vxMRE1ahRw3SUHKFOyQIK8vfW7dZ+FPCyqWbiPmnDBsnQL405UdqGi2l7hlhRaGho+iUgs1ra11BObwCAe0ORAAAuIDExUdKV66CbcPToUQUHBxs5tjPSfimwctmRnbi72TSoVn7J4ZDNkXrT2yReduihr7dqQfuXpDJlKBOySHBwsHx8fHTs2DHTUW4p7WvJ0aNHs/zYhQoVkiQdP348y48NANmJJYqEsWPHqkSJEvL29lbdunW1du1a05EAwJJMnv/vCnsPuLlZ4ttajtAiQBo350MVuc22GfF+BdXz8Te1oEw96ezZrAuXg9lsNst/HpjM5wpfxwDAFRj/TvPDDz+of//+GjRokDZs2KCqVauqefPmlm7SAQCA1GLXKtlt7re9jUM2DW7SQymp1t38DwAA3BnjRcLIkSP1/PPPq1u3bqpQoYLGjx8vHx8fTZ482XQ0AABwG4leeXTi8r8XBPF+BbX2xOUsSAQAALKCh8mDX758WTExMXrjjTfSX+fm5qamTZtq1apVt3w/u90uu92eFREzXFpuV80vMYNVMIM1ZNUMafefnJyc4cdydoaUlBTLPlbJycnpf1o1479xuc+H5GQ93WGY0zePT3KN790u9zjchlVnSPt8vd3Pc5n1OGTm19JbHcuqj4MzmMEamMEastMMGcFokXDixAmlpKSocOHC17y+cOHC2rFjxy3fb+nSpfLx8cnseJkqOjradIR7xgzWwAzWkNkzpG0Mtm7duvQfwjPa7Wa4dOmSdu7cqXnz5mXKse/Vzp07JUmrVq3S4cOHDae5N67y+eC/Z4+O+RZx+vZHY7dp3ryTmZgoY7nK43AzaV8jrDrDli1bJEm///77bX/ekzJ+hvPnz0uSNm7cqDx58mTofd+KVR+HO8EM1sAM1uDKM6R9DcwIRouEu9WoUSMFBASYjnFX7Ha7oqOjFRERIU9PT9Nx7gozWAMzWENWzXDw4EFJUu3atdWsWbMMvW9nZsiVK5fKli2rli1bZuixM4q/v78kqV69eqpWrZrZMHfJ5T4fNm5UoS1rdcrH/19v6pZsV7dGNeTuApfndLnH4SY8PK78eGfVGdKeDGrYsKFKlSp109tk1uNw5swZSVL16tUz/etZdvhYYgZrYAZryA4zJCQkZNh9GS0SAgMD5e7ufsPlf44ePaoiRW79LIenp6fLPnhpmMEamMEamMG5+5eu/IKQWcf5txnc3d0t+zil/eKUmf8/WcVlPh88PPR91Ouq0e+Hf73p8Lmj5N1hpOQKc/1/LvM43IZVZ0j7fHUmX0bPkBVfS292TCs+DneCGayBGazBlWfIyNxGN1v08vJSzZo1tWTJkvTXpaamasmSJapXr57BZAAA4N8UuJykgrlufzk9Pw+p7a5lWZQIAABkBeNXbejfv7++/PJLTZkyRX///bd69uyppKQkdevWzXQ0AADwL9aVOXnLMqGgl01/lT+VtYEAAECmM75HwlNPPaXjx4/r3Xff1ZEjR1StWjUtWLDghg0YASAnS9sULO383qzm6+urkyetu1Fe/vz5JUlHjhwxnCQH8fW98menTlqnK5eCfLrDMB3zLaBCZxP1fdTrKnA56cbbI1OdOXNG586dk6+F/78TExMlyUjGtK+hefPmzfJjA0B2YrxIkKSXXnpJL730kukYAGBZ+fPnV548edI3XcxqoaGh2r17t5FjOyM0NFS5c+fWhg0bFBkZaTpOzhAWJu3aJZ09K0kqIOnX5GStXLFCDcLD5fnyH/93W1/fK7dHptuwYYMk3XITQyvYvXu3/P39FRgYmOXHjouLkyQVL148y48NANmJJYoEAMDt2Ww2hYSE6MCBA0aOHxYWpqVLlxo5tjPc3NxUqlSp9F+ikEWuLwfsdp2Oj5eqV3epjRWzk5iYGPn4+Oi+++4zHeWWYmNjFRYWJpvt9vtrZIa0r6HFihXL8mMDQHZifI8EAIBzQkJC0p9Ny2qhoaHas2ePUlNTjRzfGaVLl9bGjRtNxwCMiomJUdWqVeXu7m46yi3FxsYqNDTUyLHj4uKUL18++fn5GTk+AGQXFAkA4CJMFglhYWG6ePGiDh06ZOT4zihdurT27duXfv41kBPFxMSoRo0apmPc1u7duxVm6FSXuLg4hYSEGDk2AGQnFAkA4CJMFwnSlWcSrSrtGU5Ob0BOdebMGe3atUvVq1c3HeWWkpKSdPjwYaMrEigSAODeUSQAgIsoXry4Tpw4ofPnz2f5sUuUKCF3d3dLb7gYFBQkX19frV+/3nQUwIi0Es3KKxL27NkjSaxIAAAXR5EAAC4i7YdfE1du8PT0VIkSJSy9IsHNzU3Vq1dXTEyM6SiAEWkbLZYrV850lFtK+xpCkQAAro0iAQBcRNoPvyY3XLRykSBdeSaWIgE5VUxMjKpVqyYPD+telCs2Nlb+/v4KCAjI8mOfOXNGp06dokgAgAxAkQAALqJo0aKy2WxGLwFp9SKhevXq2rdvnxISEkxHAbLc+vXrVbNmTdMxbsvkpR/TSliKBAC4dxQJAOAivLy8FBYWZuwShzVq1NDff/+tEydOGDm+Mx566CG5u7trxowZpqMAWWrjxo2KjY1V06ZNTUe5rRUrVhjbDDLta6eVT/0AAFdBkQAALiQ8PFwrVqwwcuwWLVrI4XBo0aJFRo7vjODgYD3yyCOaMGGCHA6H6ThAlpk4caKCg4PVsmVL01Fuae/evdq1a5exjCtWrFCFChWMnFYBANkNRQIAuJDw8HBt2bJFp06dyvJjBwUFqVq1apo/f36WH/tO9OjRQ5s3b9a6detMRwGyxLlz5zRt2jQ9++yzlt4fYf78+fL09FSTJk2MHH/FihUKDw83cmwAyG4oEgDAhYSHh8vhcGjVqlVGjh8ZGamFCxcqNTXVyPGd0bx5c4WEhGjChAmmowBZYvr06Tp37pyeffZZ01Fua968eQoPD5evr2+WHzshIUHbt2+nSACADEKRAAAuJDQ0VIULFzZ2ekNkZKSOHz9u6SsjuLu7q0ePHoqKitLx48dNxwEylcPh0OjRo/Xwww+rePHipuPc0sWLF7V06VJFRkYaOf6ff/4pSXrggQeMHB8AshuKBABwITabzeg+CfXq1ZO/v7/lT2944YUXZLPZNH78eNNRgEy1ePFibd26Vf379zcd5baWLVumCxcuGCsSVqxYoaJFi1q6bAEAV0KRAAAuJjw8XGvWrNGlS5ey/NgeHh6KiIjQvHnzsvzYdyIwMFBdunTR2LFjjfw/AVnls88+U7Vq1dSwYUPTUW5r/vz5uu+++1SxYkUjx1++fLnCw8ONXHYSALIjigQAcDHh4eG6dOmSsdMLWrZsqbVr11r6MpCS1LdvXx09elTTp083HQXIFNu3b9f8+fPVv39/y/+CPH/+fEVGRhrJeeHCBa1fv579EQAgA1EkAICLqVatmvLkycNlIP9F2bJl9cgjj2jkyJFcChLZ0qhRoxQUFKSnnnrKdJTb2rNnj9HLPq5bt052u50iAQAyEEUCALgYDw8P3X///frjjz+MHD/tMpC//vqrkePfiX79+mnLli2W39MBuFOHDh3St99+q5deekleXl6m49zWr7/+avSyj3/88Yf8/PxUuXJlI8cHgOyIIgEAXFDLli21ePFinT592sjxn3rqKf3000+WvypCo0aN1KhRI/Xq1Utnz541HQfIEA6HQy+88ILy58+vnj17mo5zWw6HQ19++aVatmxp5LKPkvTTTz+pWbNmcnd3N3J8AMiOKBIAwAU99dRTunz5smbNmmXk+M8//7zc3d01duxYI8d3ls1m01dffaUTJ07otddeMx0HyBBTp07Vr7/+qgkTJih//vym49zWwoULtXXrVvXt29fI8bdv365NmzapY8eORo4PANkVRQIAuKCiRYuqUaNGioqKMnL8gIAAPfvss/riiy+UlJRkJIOzSpUqpY8//ljjx4/XkiVLTMcB7snhw4f1yiuvqFOnTnr00UdNx/lXw4cPV+3atfXQQw8ZOf706dOVL18+Y5edBIDsiiIBAFxUhw4d9Ntvvyk+Pt7I8fv3769Tp07p66+/NnL8O9GzZ081bNhQzz77LKc4wGU5HA716NFD3t7e+vzzz03H+Vfr1q3T0qVL9dprrxm5WoPD4VBUVJTatm2rXLlyZfnxASA7o0gAABfVpk0beXh46IcffjBy/BIlSuipp57Sp59+quTkZCMZnOXm5qZJkyZxigNc2tWnNBQoUMB0nH81YsQIhYaG6vHHHzdy/DVr1mjv3r3q0KGDkeMDQHZGkQAALipfvnx6+OGHNW3aNGMZBg4cqP3792vmzJnGMjiLUxzgylztlIbdu3frp59+0oABA4xtcjht2jQVLVpUDz74oJHjA0B2RpEAAC6sQ4cOWr9+vXbt2mXk+NWqVVOzZs00fPhwORwOIxnuBKc4wBW52ikNkjRy5EgFBgaqc+fORo6fnJysH374QU8//TRXawCATECRAAAu7OGHH5afn5/RVQmvvfaaNm7c6BLP8nOKA1yRq53ScOzYMX399dfq06ePcufObSRDdHS0jh8/zmkNAJBJKBIAwIXlzp1bTz75pKZMmaLU1FQjGRo3bqwaNWro448/NnL8O8UpDnAlrnZKgySNGTNG7u7u6tmzp7EM33zzjSpVqqTq1asbywAA2RlFAgC4uK5du+rAgQNavHixkePbbDa99tprWrx4sVavXm0kw51KO8Whe/fuOnr0qOk4wE3Z7XZ16dLFpU5pOHnypMaOHavnn3/e2OqJ48ePa86cOeratauRq0UAQE5AkQAALq5+/fqqUaOGhg4damyfgrZt26p69erq1auX5a/gIF05xWHKlCmy2+1q3ry5Tpw4YToScI3k5GR17txZy5Yt07Rp01zilAZJeuONN5SSkmL01KFPP/1UXl5e6tq1q7EMAJDdUSQAgIuz2Wx677339Mcff+j33383ksHd3V3jx4/Xpk2b9N///tdIhjsVEhKi6OhoHT58WE2bNqVMgGUkJyfrmWee0cyZMzV9+nQ1btzYdCSnrF69WhMmTNDQoUMVFBRkJMPx48f1xRdfqE+fPgoICDCSAQByAooEAMgGHnnkEdWoUUPvvfeesVUJderU0Ysvvqi3335bhw8fNpLhTlWsWFFLly6lTIBlXF0ifP/992rTpo3pSE5JTk7Wiy++qJo1axrdG+HTTz+VzWZT//79jWUAgJyAIgEAsgErrEqQpA8//FC5c+dWv379jGW4U5QJsApXLRGkKxss/vXXXxo/fryxyy2yGgEAsg5FAgBkE1ZYlZAvXz6NHDlSM2bM0MKFC41kuBuUCTDNlUuEf/75R++++6569+6tWrVqGcvBagQAyDoUCQCQTVhlVUKHDh3UuHFj9e7dWxcuXDCW405RJsAUVy4RJKlv377KmzevPvjgA2MZWI0AAFmLIgEAshErrEqw2Wz673//q4MHD2rYsGFGMtwtygRkNVcvEebNm6effvpJn332mfz9/Y3lYDUCAGQtigQAyEassiqhbNmy+s9//qNhw4Zp165dxnLcDcoEZBVXLxHOnz+vl156SREREXrqqaeM5WA1AgBkPYoEAMhmrLAqQbpyPfn77rtPvXr1MprjblAmILO5eokgSUOHDtXhw4c1duxY2Ww2YzlYjQAAWY8iAQCymatXJZjc8DB37tz673//qyVLlmjMmDHGctytq8uEBx98UDt37jQdCdnEqVOn9Pjjj7t0ibBixQoNHz5cb7zxhsLCwozl+Oeff/TFF1/o5ZdfZjUCAGQho0XC0KFDVb9+ffn4+ChfvnwmowBAtvLII4+ocePG6tWrl86fP28sR/PmzdW/f3/1799fixYtMpbjblWsWFHLly9XamqqatSooYkTJ7rc6gpYy9KlS1W5cmWtWLFCv/zyi0uWCPv379fjjz+u+vXr64033jCapU+fPvL19dVrr71mNAcA5DRGi4TLly+rXbt26tmzp8kYAJDt2Gw2jRs3TocOHTK6k7okDR8+XM2bN9eTTz6pHTt2GM1yN8qWLav169erU6dOeuGFF/Too4/q6NGjpmPBxVy6dEkDBgxQkyZNFBoaqs2bNysyMtJ0rDt29uxZtWrVSn5+fvrpp5/k5eVlLMvPP/+s2bNn6/PPP+cJKQDIYkaLhMGDB6tfv36qXLmyyRgAkC2VKVNGb731lkaMGKGtW7cay+Hu7q7p06eraNGiatWqlRITE41luVt58+bVhAkT9Msvv2jNmjWqXLmy5s6dazoWXMSWLVtUu3ZtjRkzRiNGjNCSJUsUEhJiOtYdS0lJUYcOHRQXF6e5c+cqMDDQWJazZ8/qpZdeUmRkpNq1a2csBwDkVB6mA9wNu90uu91uOsZdScvtqvklZrAKZrAGq8/Qv39/TZs2TT169NDSpUvl5nZjf5wVM+TOnVuzZs1SgwYN1LZtW/3vf/+Tp6dnht1/Vj0OLVq00MaNG9NXJjz33HMaPny48ubNe8/3bfWPJWcww7VSU1M1evRovf322woLC9Off/6pKlWqKCUlRSkpKfd8/7eSWY/D66+/rnnz5mnOnDkKCwvL1Mf532Z45513lJCQoFGjRik5OTnTctwLPh+sgRmsgRmsISOz2xwWONnzm2++Ud++fXXq1Knb3u7MmTPy9/dXVFSUfHx8siYcALi4rVu36u2331bPnj3VvHlzo1m2bdumQYMGqUmTJnrxxReN7vR+LxwOh6KjozVp0iQVKFBA/fr1U5kyZUzHgoUcP35co0eP1pYtW/Too4+qU6dORk8DuFdpm6Z2795djz76qNEse/bs0cCBA9WpUyc98cQTRrMAgCs5f/68OnTooNOnT8vPz++e7ivDi4TXX39dH3/88W1v8/fff6tcuXLp/77TIiE+Pt5ld+a12+2Kjo5WREREhj4bl5WYwRqYwRpcZYbnn39eP//8s/766y8VKVLkmrdl9Qxff/21XnjhBX322Wfq3bt3htynqcchNjZW3bp1U0xMjN544w29+eab8vC4u8V+rvKxdDvMcMUPP/ygl19+WXnz5tWkSZPUqFGjDE55exn9OKxcuVLNmjXTM888o3HjxmVJAXirGVJSUtSgQQNdvnxZa9assfTHGZ8P1sAM1sAM1pCQkKCgoKAMKRIy/NSGV199VV27dr3tbUqVKnVPx/D09HTZBy8NM1gDM1gDM2S+Tz/9VPPmzVPfvn01c+bMm/4ikFUz9OjRQzt37tSrr76qChUqqFmzZhl231n9OFSoUEErV67U0KFDNWTIEEVHR+ubb765piy/U1b/WHJGTp3hxIkTeuWVVxQVFaX27dtr7Nixyp8/fyYl/HcZ8Tjs379f7dq1U/369TVu3LgsX1Vx/QyjRo3Sxo0b9eeff7rM6tSc+vlgNcxgDcxgVkbmzvDNFgsWLKhy5crd9sWVl/YBgCsKCAjQ2LFjNWvWLP3www+m42j48OFq0aKFy17J4WoeHh4aNGiQVq5cqcTERFWpUkX/+c9/dO7cOdPRkEVSUlI0YcIElS1bVvPmzdO0adMUFRVltETICFa6QoMk7dixQ++884769eun+++/32gWAMjpjF61IS4uTps2bVJcXJxSUlK0adMmbdq0iR++ACATtGvXTu3atdNLL71k/PKF2eFKDterW7eu/vrrL7377rsaPXq0ypUrpxkzZsgCWxEhE61du1Z169bViy++qNatW2vnzp3q0KGD6Vj37PorNJg+pTQlJUXdunVT8eLFjV/SFgBguEh49913Vb16dQ0aNEjnzp1T9erVVb16da1fv95kLADItr744gvZbDZ17do1U3eNd4afn5/mzp2rkydP6pFHHtGZM2eM5skI3t7eevvtt/X333+rdu3aeuqpp3T//fdr/vz5FArZzF9//aW2bduqbt26SklJ0Z9//qnJkyerUKFCpqPds9TUVPXq1Uvz5s3T999/rwoVKpiOpCFDhmjNmjWaPHmycufObToOAOR4RouEb775Rg6H44aXhg0bmowFANlWoUKF9N1332nRokV69913TcdRqVKlNH/+fG3fvl3NmzfXyZMnTUfKECVKlNDs2bMVHR0td3d3tWzZkkIhm0grEKpWraqNGzdq0qRJWr9+verVq2c6WoZISUlRjx499OWXX2rSpEmKjIw0HUk///yzBg8erPfff18NGjQwHQcAIMNFAgAg6zVv3lwffvihPvzwQ/3000+m46h27dqKjo7Wrl279OCDD+rw4cOmI2WYpk2bauXKlVq0aBGFgou7vkCYPHmyduzYoe7du8vd3d10vAxx8eJFPfnkk/rmm2/0zTff/Ovm2Vlhx44deuaZZ/T444/rzTffNB0HAPD/USQAQA702muvqV27durSpYu2bdtmOo5q166tFStW6NSpU2rQoIFiY2NNR8owNptNERERNxQKlStX1n//+1+dPXvWdETcQnJysn766Sc1adLkhgKhW7duLrtr982cOXNGLVu21Lx58zR79mx17tzZdCQlJSWpbdu2KlasmKZMmSI3N35sBQCr4CsyAORANptNkydPVqlSpdSuXTtLbHJbvnx5rVy5Urly5VJ4eLg2btxoOlKGurpQWLJkicqUKaOXX35ZwcHB6t27tyUKHVyRmJiooUOHqkSJEmrbtq0uXryoadOmZcsCQZKOHTumRo0aacOGDVq0aJFatWplOpJSU1M1atQoHT16VHPmzJGvr6/pSACAq1AkAEAOlTdvXs2ePVsJCQkaOXKk8c0XJSkkJEQrVqxQ8eLF9dBDD+n33383HSnD2Ww2NW7cWLNmzdL+/fvVt29f/fTTT6pevbrefvttzZw5U3a73XTMHMfhcGj58uXq2LGjnn/+eY0YMUItW7bUxo0btXLlSnXo0CHbFQiStH//foWHh+vw4cNatmyZHnjgAdORJElDhw7V+vXrNWXKFIWFhZmOAwC4DkUCAORgpUuX1tSpU7Vp0yYNHjzYdBxJUmBgoH777Tfdf//9at68uWbPnm06UqYpVqyYhgwZori4OE2dOjX9knslSpTQ4MGDFR8fbzpitnfu3DmNHz9eVatW1YMPPqhNmzapa9eu2r9/vyZOnKhq1aqZjphptm7dqvr16ys1NVUrV65U1apVTUeSJP3yyy8aMmSI2rdvr5YtW5qOAwC4CYoEAMjhmjVrpk6dOmnYsGGaNWuW6TiSrqyWmDt3rh577DG1bdtWX331lelImcrLy0tPPfWUPvroI61fv16tWrXSiBEjVKxYMTVv3lyTJk1SQkKC6ZjZxoULFzRnzhx16NBBQUFB6t27t0qXLq3o6Ght2bJFrVq1Ur58+UzHzFR//vmnHnjgARUqVEgrVqxQqVKlTEeSdGVzxU6dOql169Zq27at6TgAgFugSAAA6PHHH1ebNm3UuXNny5yrnytXLkVFRenFF1/U888/r2HDhuWIKx1UqVJF48eP16FDhzRmzBhdvnxZPXr0UJEiRdSiRQtKhbt08eLF9PKgUKFCevzxx7Vt2zb95z//0b59+zR79mw1bdo0R2zoN2/ePDVt2lRVqlTRsmXLVKRIEdORJEmnT5/WY489pmLFimny5Mk54rEAAFfFV2gAgGw2m7788kuVKlVKjz32mE6ePGk6kiTJ3d1dX3zxhd577z298cYbGjBggFJTU03HyhL+/v7q2bOnli5dqsOHD2v06NG6dOnSDaXC8ePHTUe1rPPnz2vOnDnq2LGjChYseE15sGPHDm3evFlvv/22QkJCTEfNMt99951at26tZs2aaeHChfL39zcdSdKVzRU7d+6sI0eOsLkiALgAD9MBAADWkLb5Yp06ddSyZUstXLhQfn5+pmPJZrNp0KBBCgwM1Msvv6xdu3bp66+/VmBgoOloWaZw4cLq2bOnevbsqaNHj2rWrFmaMWOGevTooeeff161atVS/fr1VadOHdWtW1elSpWSzWYzHTvLHT16VGvXrtWaNWu0evVqrVixQpcuXVKVKlX0n//8R+3atVPZsmVNxzTi8uXLevvttzVixAh1795dEyZMkIeHNX4MTE1N1QsvvKC5c+fqf//7n8LCwthwFAAszhrfQQAAllC6dGktXLhQERERat68uWXKBEnq3bu3SpQooS5duqhy5cr69ttvFRERYTpWlru+VJg/f76io6P1v//9T59//rmkKxtWppUKdevWVe3atVWgQAHDyTPW+fPntXHjRq1Zsyb95cCBA5Ku/B/VrVtXw4YNU8uWLVWmTBnDac3auXOnOnbsqM2bN2v48OEaMGCAZYqmtBJh0qRJ+uabb9hcEQBcBEUCAOAatWrVUnR0tCXLhIcfflh//fWXOnfurGbNmunVV1/V0KFDc+y51IULF1bXrl3VtWtXSdKJEyfSn5Ffs2aNRo0alX6aSlhYmGrXrq0yZcooLCxMYWFhCg0NVf78+Q1O8O/Onz+vPXv2KDY2Vrt371ZsbKxiYmL0119/KSUlRd7e3qpZs6batGmTXpyEhIRY5hdlkxwOh7766iu98sorKlq0qFatWqVatWqZjpXu+hKhc+fOpiMBAJxEkQAAuIGVy4Tg4GAtWrRIn332md544w0tWbJEU6ZMMR3LEgIDA9WyZcv0Z3UdDod2796dXixs2LBB0dHR1+yrEBAQkF4qpBUMJUqUUGBgoAoUKKB8+fLJ3d09U/I6HA6dOXNG/6+9e4+LouDf/38tgggKqAgKKgqRUJ7FRMlKysNtpnlXdiBJLTXNypTbotvM7krTPNSdmlqZlWVHs/yaKZTaSVQ8lkaekkgBNU+gFKwwvz/uH3wiFQdcnVl7PR+PfQTD7Oz1bsVxr52dOXLkiA4fPqxff/1Vu3btKlca7N+/v2x9Pz8/RUZGqnXr1ho6dKg6dOigli1bysvL64Lkc2d5eXm644479Mknn2jw4MF64YUXVKtWLatjlaFEAAD3RpEAADgjO5cJHh4eSkpK0vXXX6+EhAR17NhRAwYMUM+ePa2OZisOh6OsHOjfv3/Z8uPHj2v37t1lL9ZL/5uSkqKDBw+etp3atWsrMDBQdevWVd26dcu+rlWrVrl3/ouLi7Vnzx6tWbOmXPnw+++/l5UFR44cKfv66NGjKi4uLvdYfn5+ZZmvvvrqciVHUFAQRxqYsGrVKo0aNUolJSX66KOPdOutt1odqRxKBABwfxQJAICzsnOZIElt27bVxo0b9cgjj5RdMvH111//W52IsSoCAgIUExOjmJiY0352/PhxZWVllb3g/2sBcOTIEWVnZ2vbtm06ceLEafc/efKkNm/eXG6Zt7e3AgMDFRgYqOjo6NMKidKvQ0NDKQvOQ1FRkcaNG6cpU6aoRYsW+vTTTxUeHm51rHIoEQDg0kCRAACokN3LBF9fX82aNUuBgYF69dVX/9YnYnSFgIAAtWzZskr3dTqdWrZsmW688UY+bnCR/fmEis8++6yio6PVqFEjq2OVQ4kAAJeOv+fZqQAAlVJaJvz000/q0aOH8vLyrI50mo4dO2rjxo1q3ry5unfvrlGjRunkyZNWxwIuqJKSEs2ePVvt2rVTXl6e0tLSNGbMmAt2XouqokQAgEsLRQIAwBR3KBNKT8Q4depUzZkzRy1bttQXX3xhdSzggvjpp5903XXX6YEHHlD//v21adMmW12VoRQlAgBceigSAACm/bVMOHbsmNWRTlN6Isbvv/9eTZo0Ubdu3TRo0CAdPnzY6miASxQWFmrChAlq3bq1cnNztXLlSs2dO9dWV2UoVVxcrKFDh1IiAMAlhiIBAFAppWXCjh071LFjR+3YscPqSGd0+eWXa+XKlXr11Ve1ePFiRUZGavr06SosLLQ6GlAlhmFo0aJFat68ucaPH69Ro0bp+++/V3x8vNXRzujo0aO66aabNH/+fEoEALjEUCQAACqtffv2WrdunTw8PNShQwctW7bM6khn5HA4NHjwYO3cuVN33XWXxowZo+bNm+vjjz+WYRhWxwNMS09P17XXXqvbbrtNzZo109atWzVp0iT5+PhYHe2MMjIyFBsbq3Xr1mn58uWUCABwiaFIAABUyeWXX661a9fquuuu00033aTJkyfb9sV5cHCwXn75ZX3//fdq1qyZbr31Vl133XXasGGD1dGACv36669KTExUhw4ddOzYMS1fvlzLli1T8+bNrY52VkuXLlVsbKy8vLy0fv16rqACAJcgigQAQJX5+/vrk08+0dixY5WcnKyEhAQVFBRYHeusmjdvrmXLlmn58uU6cuSIrrrqKiUkJOinn36yOhpQzqFDh/TYY48pKipKKSkpeuWVV7R582b16NHD6mhnZRiGJk6cqD59+uj666/X2rVrFRkZaXUsAMAFQJEAADgvHh4eeuaZZ/TBBx9oyZIl6ty5s7KysqyOVaEePXpoy5Ytmjt3rr799ltdeeWVuvvuuykUYLnSAqFp06Z6+eWXNXr0aO3atUtDhgyRp6en1fHO6uTJk7rjjjs0duxYjRs3Th9//LH8/PysjgUAuEAoEgAALtGvXz+tWbNGR44cUfv27fX1119bHalCnp6eGjp0qHbt2qWXX35Z33zzDYUCLPPXAuGRRx5RZmamnn32Wfn7+1sdr0KZmZm6+uqrtWzZMn300Uf6z3/+Iw8P/okJAJcy/pYHALhM69atlZ6erubNm+uGG27QnDlzrI50Tt7e3ho2bBiFAixxtgJhwoQJCgwMtDreOX311Ve66qqrdPz4ca1Zs0a33nqr1ZEAABcBRQIAwKWCgoKUkpKiYcOGafjw4br//vvd4pKLFAq4mNy9QDAMQzNnzlTXrl3VsmVLpaenq1WrVlbHAgBcJBQJAACX8/Ly0owZM/Tqq6/qjTfe0NVXX609e/ZYHcuUsxUK/fr103fffWfbK1PAPezatUsPP/yw2xYIkpSXl6c777xTDz30kB544AGtWLFC9erVszoWAOAiokgAAFwwgwcPVlpamo4dO6Z27drpww8/tDqSaX8uFGbPnq3vv/9enTt3VocOHbRgwQL9/vvvVkeEmygpKVFKSor69OmjqKgovfvuu0pKSnK7AkGSNm3apJiYGH3++ef64IMP9N///ldeXl5WxwIAXGQUCQCAC6pdu3bauHGjevToodtvv1133XWXfvvtN6tjmebt7a37779fGRkZWrZsmerUqaN77rlHoaGhevDBB7V582arI8Kmfv31Vz399NOKiIhQjx49lJmZqddee61suTsVCEVFRRo/frxiY2Pl7++vTZs2qV+/flbHAgBYhCIBAHDBBQQE6P3339c777yjlJQUNW/eXB9//LHVsSrFw8NDPXv2VEpKinbt2qXhw4dr0aJFateunWJiYjR79mwdO3bM6piwWFFRkT766CP17NlTTZo00fPPP6+uXbtqzZo12rp1q+69917VqFHD6piVsnnzZl111VWaOHGinnjiCaWlpSkyMtLqWAAAC1EkAAAuCofDoYSEBG3fvl2dOnXSrbfe6nZHJ5SKjIzUxIkT9euvv+rTTz9Vw4YN9dBDDykkJER33HGHPvroIxUUFFgdExdJcXGxVq1apQceeEANGzZUv379dOzYMb3yyivKycnRa6+9pk6dOsnhcFgdtVKKior05JNP6qqrrpLD4VB6errGjx+v6tWrWx0NAGAxigQAwEXVoEEDLV682K2PTijl6empPn36aMmSJcrKytL48eO1c+dO9evXT0FBQZQKl7A/lwehoaG6/vrr9dlnn2nAgAH64YcflJaWpsGDB8vPz8/qqFWyadMmtW/fXs8995zGjRun9evXq02bNlbHAgDYBEUCAOCiO9PRCXfccYdycnKsjlZloaGhSk5O1ubNm7Vr1y498cQTlAqXmLOVB4mJiVq7dq0yMzM1depUtWjRwuqoVfb777/riSeeUIcOHeTh4cFRCACAM6JIAABY5s9HJ6xcuVLR0dGaMWOGiouLrY52XiIjI/X444+XKxV27dpVVircfvvtWrBggQ4cOGB1VJxDfn6+lixZouHDh59WHqxbt66sPIiNjXW7jy781bJly9S8eXNNmTKFoxAAABWiSAAAWKr06IQdO3borrvu0siRI9WhQwetX7/e6mguUVoqbNq0qaxU+Pnnn3XPPfeoQYMGatu2rZKTk7V69Wo5nU6r4/7tlZSU6Oeff9bzzz+v+Ph4BQYG6uabb1ZKSspp5UGHDh3cvjyQ/nd1iVtuuUW9evXSZZddph9++IGjEAAAFaJIAADYQt26dTVnzhytWbNGJSUl6tixo4YPH66jR49aHc1lSkuFDRs2KDc3VwsWLFCLFi00f/58de/eXYmJierbt69mzpyp3bt3Wx33b+PgwYN6++23lZiYqLCwMI0ePVrPPfec/Pz89MILL2jXrl3as2fPJVUeSJLT6dSUKVN0xRVXaO3atXrvvfeUkpKiZs2aWR0NAGBznlYHAADgzzp27Kj09HS9/PLLeuKJJ7Ro0SJNnTpViYmJl8wLOEmqX7+++vfvr/79+6ukpEQbNmzQzJkzlZWVpdGjR+uhhx5SeHi4rrnmGnXq1EmdOnVSixYtVK1aNaujuzXDMPTzzz8rLS1NaWlpWrNmjbZs2SJJatOmjQYMGCB/f3+NGjVKNWvWtDbsBfTNN99o+PDhysjI0EMPPaSnn35a/v7+VscCALgJigQAgO14enrq4Ycf1m233aakpCQNGDBA8+bN00svvaTWrVtbHc/lPDw81LZtW91666268cYb9ccff2j16tVKTU3VmjVr9M4776i4uFi1atVShw4d1LFjR7Vv314xMTFq3LjxJVWwuNrhw4e1adMmbdiwQWvXrtXatWt18OBBSVJUVJQ6deqk0aNHq3v37qpfv76cTqeWLVt2yR7Wn5OTo3//+9964403FBsbqw0bNqht27ZWxwIAuBnLioTMzEw988wzWrlypXJzcxUaGqr+/ftr7Nixl+zOGwBQOaGhoXr33Xd133336cEHH1Tbtm3Vv39/Pfnkk4qMjLQ63gXj5+en3r17q3fv3pKkgoICbdiwoexd9Hnz5mnixImSpKCgILVr107R0dGKiopSs2bNFBUVpYYNG/6tCobffvtNO3fu1I4dO8r+u3nzZmVmZkr63//TDh06aOjQoerUqZNiY2MVGBhobeiL6MiRI5o+fbpeeOEF1ahRQ3PnztXgwYPl4cGnXAEAlWdZkfDTTz+ppKREc+fOVWRkpLZt26YhQ4bo5MmTmjp1qlWxAAA21LVrV/3www965ZVXNGHCBC1cuFCJiYkaO3bsJV0olPL19dW1116ra6+9VtL/Ds/Pzs7Wxo0btXHjRm3evFnLly/XrFmzdOrUqbL7NGvWrOwWFRWlyMhINWzYUA0aNJCXl5eVI1VaSUmJDh06pOzsbO3Zs0c7d+4sVxwcOXKkbN2wsDA1a9ZMt956q2JiYhQTE6PIyMi/5YvmI0eO6IUXXtB///tfFRcX68EHH9Tjjz+u2rVrWx0NAODGLCsS/vGPf+gf//hH2fcRERHasWOHZs+eTZEAADiNl5eXRowYoXvvvVevvvqqJk2apAULFigxMVGPPvqo1fEuKofDoYYNG6phw4bq06dP2XKn06nMzMxy78rv3LlT3377rbKzs8ttIygoSKGhoQoJCTntv/Xr15efn1+5m6uPFjx16pROnDih/Pz8sttvv/2mnJwcZWdnKzs7u+zrnJwc5ebmlrssaJ06dcqOwOjdu3dZYXL55ZfLx8fHpVndUX5+vsaPH6+ZM2equLhYI0aM0L/+9S8FBwdbHQ0AcAmw1TkSjh8/rrp1655zPafT6baXyCrN7a75JWawC2awB2a4+Dw9PTV8+HANHDhQ8+bN05QpU7RgwQJdd911ioiIUHR0tNURq8RVz0PTpk3VtGlT9ejRo9zy/Px8/fzzz8rJyTnt9sMPPyg1NVU5OTllRzT8VfXq1ctKhZo1a8rPz08+Pj7lPj5RUlKiI0eO6MUXXyz37n9hYaHy8/N14sSJsvLg999/P+PjOBwOBQcHKyQkRCEhIWrVqpW6d++u0NBQNWjQQCEhIQoPD1dgYOBZP7pxPv8P3e334a9Kj0B46aWX5HA4NGzYMI0ePbqsQHCXudz9eZCYwS6YwR6YwR5cmd1hGIbhsq2dh927dysmJkZTp07VkCFDzrhOXl6eAgICtHDhQvn6+l7khAAAOyosLFRqaqoWLVqk48ePq0uXLurXr59CQkKsjuZ2SkpKlJeXp+PHj+uPP/7Q77//Xu7212Vm/0FSrVo1+fj4lLvVqFHjtGW1atVS7dq15elpq/c53EJ+fr6WLFmipUuXqqSkRD179lTfvn35CAMAoExBQYESEhJ0/Pjx875Sj8uLhOTkZE2ePLnCdTIyMsq9Y7R//35dd9116tKli1577bWz3q+0SMjJyXHbEyQ5nU6lpqaqW7dubvf51FLMYA/MYA/MYA9Op1NLly5VVlaWpk+froMHD+rOO+/UqFGj1KpVK6vjmXKpPA/McHHt379fs2bN0ty5c1VcXKxhw4bpoYce0tatW91mhjNxt+fhTJjBHpjBHpjBHg4fPqyQkBCXFAkur/yTkpI0cODACteJiIgo+zo7O1vx8fGKi4vTK6+8YuoxvLy83PbJK8UM9sAM9sAM9uDuM3h7e2vkyJEaMWKEXn31VU2bNk3vvPOOunbtqqSkJPXo0cMtrmLg7s+DxAwXw9atWzVt2jS999578vHx0fDhw5WUlKTg4GA5nU5t3brV9jOYwQz2wAz2wAz24M4zuDK3y4uEoKAgBQUFmVp3//79io+PV0xMjObPn/+3PJsyAMC1fHx89PDDD+uBBx7QRx99pGnTpqlnz55q0aKFRo8erYSEBHl7e1sdE6g0wzC0YsUKTZs2TV988YXCwsI0efJk3Xfffef9zhIAAJVh2Sv3/fv3q0uXLgo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",
"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"\n",
"bs=[1,1/2,1/5,1/10]\n",
"s=[]\n",
"point=(5,5)\n",
"n=10\n",
"\n",
"function = lambda x,y,b: (1/2)*(x**2 + b*y**2)\n",
"np_function = lambda x,y,b: [[function(j,i,b) for i in y] for j in x]\n",
"derivatives = lambda x,y,b: (x, b*y)\n",
"algorithm = lambda x,y,s,b: (x-s*derivatives(x,y,b)[0], y-s*derivatives(x,y,b)[1])\n",
"phi =lambda x,y,s,b: function(*algorithm(x,y,s,b),b)\n",
"get_s_k = lambda x,y,b: (x**2+(b**2)*(y**2))/(x**2+(b**3)*(y**2)) if x!=0 or y!=0 else 0\n",
"\n",
"def gradient_descent(x,y,s,b,n):\n",
" values = [(x,y)]\n",
" for i in range(n):\n",
" s.append(get_s_k(x,y,b))\n",
" x,y = algorithm(*values[-1],s[-1],b)\n",
" values.append((x,y))\n",
" return values\n",
"\n",
"x = np.linspace(-10,10,100)\n",
"y = np.linspace(-10,10,100)\n",
"X,Y = np.meshgrid(x,y)\n",
"\n",
"for b in bs:\n",
" points = gradient_descent(*point,s,b,n)\n",
" x_n,y_n = zip(*points)\n",
" Z = np_function(x,y,b)\n",
" plt.style.use('_mpl-gallery')\n",
" plt.figure(figsize=(10,10))\n",
" plt.axis('square')\n",
" plt.xticks([i/10 for i in range(-100,101,10)])\n",
" plt.yticks([i/10 for i in range(-100,101,10)])\n",
" plt.contour(X,Y,Z,levels=[1,2,3],colors='k',linestyles='solid',linewidths=1)\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n",
" plt.plot(x_n,y_n,'o--')\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"11.7 [Python] Let $A$ be a 2x2 matrix and let the quadratic function $f:\\R^2\\to\\R$, $f(x)=x^TAx$.\n",
"\n",
"1. Give two (different) matrices $A$ such that $f$ has a unique minimum.\n",
"2. Give two (different) matrices $A$ such that $f$ has a unique maximum.\n",
"3. Give two (different) matrices $A$ such that $f$ has a unique saddle point.\n",
"\n",
"For each matrix $A$ plot three contour lines of $f$ and the gradient at three different points."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"1. $A_1=\\begin{bmatrix}1&0\\\\0&1\\\\\\end{bmatrix}$\n",
"$A_2=\\begin{bmatrix}2&1\\\\1&2\\\\\\end{bmatrix}$\n",
"1. $A_3=\\begin{bmatrix}-3&0\\\\0&-3\\\\\\end{bmatrix}$\n",
"$A_4=\\begin{bmatrix}-2&-1\\\\-1&-3\\\\\\end{bmatrix}$\n",
"1. $A_5=\\begin{bmatrix}-1&-1\\\\-1&0\\\\\\end{bmatrix}$\n",
"$A_6=\\begin{bmatrix}-1&0\\\\0&1\\\\\\end{bmatrix}$"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_16428\\413399303.py:31: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_16428\\413399303.py:31: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_16428\\413399303.py:30: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[1,2,3],colors='k',linestyles='solid',linewidths=1)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danie\\AppData\\Local\\Temp\\ipykernel_16428\\413399303.py:30: UserWarning: No contour levels were found within the data range.\n",
" plt.contour(X,Y,Z,levels=[1,2,3],colors='k',linestyles='solid',linewidths=1)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9T/iyNGok6vv5Qbt2KGZmnO7UCbMUDJehQ4eyZs0aNm7ciN17597Vq1czdOhQRo8erXbZ8PDwoH///gwZMoTRo0dn6HS/2rbRzJkzUalUDBkyJNk6GzduRKVSabyyZMmS6j50dHRYv349lpaWtGvXjoMHD6JSqZg1axZ9+/alZ8+eeHh4ADBkyBBmzpzJ5MmTmTJlSvKNZsvG7+PGoTRrppm4sUkTIfJz8aLISP38uQivnjNHZKSeMgWcnYVzlEQikUgkGUV8vBCYmz4d5s6FCROE4fLokfBjuXZNOOx+ZLhgYUHctm0o+vrJNj1+/HgWLVrEsmXL6NKlCwBbt26lb9++DBw4kOnTp6NSqQgNDcXR0ZGOHTsyb9487Tsa6chXWXk5deoUq1atonr16p+smytXLg054bS+AXp6euzYsQNLS0ssLS0JCwujXr16LFu2jJcvX+Lo6EiOHDkwMzNj1KhRxMbGMm7cOHR1dRk7dqzWNuMzZybOwwOdTp3EnqG7u8iB1KCBCCczNhZbSiEhIuR61CghetenDzx7JraUkrFqJRKJRCL5bKKjoWtX2LEDVq4U9x2Ae/fETsGLF0KItUoVcdzXF2xtwcJCnJPCPXbmzJlMmzaNOXPm0L9/fwB2795N165d6datGwsXLkSlUnH69GnatGmDoaEhGzZsQEcn49dFMryH169f4+joyJo1a8ibN+8n66tUKooUKaJ+FS5cOM19Zs6cGS8vL6pXr46pqSkXL15ER0eHjRs3YmZmRtu2bTl06BAgvKQnT56Mi4sLs2fPTqlRzcSNO3aI47VrC4v2/n0h7PPwoTjes6eov2eP2Gt8/TrN85BIJBKJJFlevRI7Art2iftNguFy86bYHYiMFJIfCYaLuzu0bSvuSTt2pPhQPXfuXMaMGcPEiRP57bffAAgMDKRDhw7Y2dmxevVqdHR0uHjxIiYmJlStWhUPDw/0U1jFSU8yfOXF2dkZCwsLDA0NmTp16ifrv379mtKlSxMfH0/t2rWZPn06VRLe+GSIiYlJouKXKVMmvLy8MDIywsjIiH379vHLL7+wdetWrK2tsbS0ZO/evfz666+MGTOG6OhoRo0aBcDQoUM12lb/q68PGzeiq6+PytGRuDdvUJychKBPaCh6pqbQpAmxgYEib5KVFSo/P3TbtUNp1Yo4b2+xIvPR2BP/mxFkdB9yDt9GH3IO30Yfcg7fRh8//BwePULX2hrV338T5+8vXBtiYuDKFfTMzCBrVmJDQqBUKYiJQbVxI7p9+qB07EjcmjVixSXRvTNxH/Pnz2f06NGMHj2asWPHEhMTw8GDB2nbti0mJiasW7eO+Ph4rl69iqGhISVKlMDb25tMmTIlGWtGvTcqJdl44S9nx44dTJs2jVOnTpElSxaaN29OzZo1Wbhwodb6x48f5++//6Z69epEREQwd+5cDh06xKVLlyhRokSS+i9fviR37ty4ubmRLVs2rW2+ePECFxcXoqOjmT59OgULFuTt27dMmjSJ+/fv4+rqSpkyZVAUhW3btuHp6Un37t3V3tRaiY+nxooV/BQSwvl+/bhtYgJAtocPaThxIjoxMRyfNIlXpUoBkPvaNQxcXYnOlYtjkybxrkCBtL2REolEIpG8J1t4OAaTJqH37h3Hx4/nZdmyAOS6eZOGkyYRlTs3xyZNIipfPgDK+PlRfe1abpqa8mfv3sI/Mxm8vLzUjrkdO3ZEpVJx9epVJk6cSIUKFXBxcSFTpkw8evSIsWPHkiVLFqZOnUqeZETtIiMj6dixIxEREeTKlSvd3oMMM17++ecf6tSpQ0hIiNrX5VPGy8fExMRQqVIlHBwctDrVJhgvDx48IP9HKxqJuXv3Li1atCBTpkzs37+fQoUK8fz5c0xNTfnnn3/Yu3cvVatWRVEUXFxcmDt3LgsWLMDZ2ZmYmBhCQkIwMjLSXA5TFHSGDUN32TLi5s8nfsAAcfzBA/QsLeHuXeK8vVEaNBDH//oLPXNzAGL9/aFCBfUctbafjmR0H3IO30Yfcg7fRh9yDt9GHz/sHP74Az0rK8iRg1g/P3hvuKhOnkTX0hKlbFni/P3Vq/w6s2ahO348cUOHEj9zZhIfl8R9LFmyRL3iMnnyZFQqFefOncPY2Jhq1arh5+dHtmzZuH//Pq1atUJRFMLCwihevHiyc3j69ClFixZNd+Mlw7aNzpw5w6NHj6hdu7b6WFxcHIcOHWLp0qVERUWhq6ubYhv6+vrUqlWLa9eufbJeSl+cMmXKEBoaSpMmTbCwsFAbMKGhobRq1QoTExMOHDhA5cqV1X4vQ4cOJVOmTPTq1Sv5PpYsgezZ0R02DN3oaOGoW6qUyCVhZSW2kXbtAlNTsed49CiYmKDfooUQuqtTJ9VzSA8yug85h2+jDzmHb6MPOYdvo48fag4HDwqNsXLlICAA/UKFRIWQEOGPWbMmKn9/dHLn1gydnjQJ3QkT0E3BOTfBcHFxcWHKlCmoVCouX76MhYUF5cuXx9/fn1y5cvHkyRPMzc2Jiori8OHD/PTTT58ce0aQYQ67rVq14sKFC5w/f179qlOnDo6Ojpw/f/6ThgsIY+fChQsUTSarZVr45ZdfCAkJ4Z9//sHa2pq3b9+SL18+QkJCKFq0KIaGhty4cQOVSsXs2bMZMmQIzs7ObN68OflGVSoRFj1xIoweLQSB4EPagJYtxRdtzx5xvEQJYdj8/LMoe+80LJFIJBJJivj7C12xevU+5CkCcX+xsIBmzYSOS4LhMmaMMFzmzBH3qBQMFz8/P7V/S4LhcvPmTYyNjSlatChBQUHkypWLV69eYWZmxpMnTwgLC/uk4ZKRZJjxkjNnTqpWrarxyp49O/nz56dq1aoAODk5MWbMGPU5rq6u7N27lxs3bnD27Fk6derE7du36fk+/8KXUrVqVfz8/Dh9+jSOjo7ExcVRoEAB9u7dS86cOTE0NOTevXuoVCrmz59P79696d27N8eOHUu+UZUKJk36YMDMmSOOZ8smJJg/jk7Kn19YyXXrgrExqgxKWiWRSCSSHwOVp6eQ6TA3FxotOXOKgoRce23biiSM2bJ9MFxmzYIFC+B9pFBybNy4kbVr1zJs2DCmTp2KSqXi3r17GBoakjVrVoKDg8mXLx/R0dG0bduWv/76i6CgIMqXL5/h806JfzW30Z07d3jw4IH67+fPn9OrVy8qVaqEubk5L1++5NixY1SuXDnd+jQwMGDnzp34+PgwYMAAFEWhcOHChISEEBsbi5GREU+ePEGlUrF8+XJsbW2ZP38+wcHBKTc8caJYohs5EhKiqvT1Yds2kUPC0RE2bhTHc+YUYndWVuja21MqLCzd5ieRSCSSH4eSYWHoduokcuft3ClkOwBWrQInJ+jSRdxn9PWTGi4piMKCCKrp06cPpqam6lQ5jx8/xtDQkNjYWMLCwihatCjx8fF06dKFw4cP4+3tTa1atTJ+4p/gq6YHOPA+Q3Nyfy9YsIAFCxZk+DgsLS1ZvXo1PXr0IH/+/EydOpVSpUqp/WJMTU0JCwsjd+7cbNiwgZs3b2Jra4uvry9GRkbaG1WphKpu5sxClvntW2HE6OkJoyVrVujWDd69g759Rb0dO4jv149aS5YQV7So+NJJJBKJRALoLFpE7SVLiOvZE91Vqz5ECc2bJ1ZUBg0SRoqOTpoNFx8fHzp37kzHjh1p164dKpWK58+fY2xszIsXLzh06BClSpVSZ4jeuXMnHh4eNG/ePMPnnRp+iKzSn0P37t3VGafnvN/qKV++PHv37uX69etYWVkRGRmJvr4+I0eOpGXLlrRu3ZqwT62SjBsnto6mT4fhw8UXSkdHKB8OGgT9+kFCtJWuLvFLl3LV3h7dhERaGRe5LpFIJJLvgfh4GDEC3REj+LttW+KXLftgoEyeLAyXsWPFvSTh+KhRqTZcQkNDsbOzw9ramjVr1qCjo8OrV68wNzfnzp07hISEUK5cOQCmT5/OkiVLWLFiBW3bts34uaeSHyoxY1r57bffiIiIYOTIkeTOnZvevXtTo0YNAgICMDQ0pF27dnh6eqKvr4+7uzt2dnZYWVkREBCQsvX5229ipWXAALHSsnSp+IItXCiODx0qVmbGjAGViisdO/KLgQG6Q4eKhI5r14oVG4lEIpH8t4iJge7dYds24ubP53LZsvykUgkDZcQIseoyY4bwsQRh6AwaBMuWiXvM4MEpNn/48GGsra1p1aoVbm5uqFQqoqKiaNu2LZcvX2bfvn1qv9Q1a9Ywbtw4XF1d6d27dwZPPG385++Qrq6uRERE0LdvX3LmzImDgwMGBgZ4e3tjYWFBly5d6NixI1myZGHPnj1YW1tjYWFBYGAgTZs2Tb5hZ2fIkgV69RIGzJo1oKsrvnRZswqr+cULsdUExDs7o1u4sNjDfPpU7G1mzfp13gSJRCKR/Pu8fi3yDu3bB9u3E9+2rfCPjI8Xq/arVgmJjgRdsdhYcY/ZtAlWrxb/T4EjR45gZmZG/fr12bVrF5kyZeLNmzfMmjWLK1euEBwczK+//gqAu7s7ffv2xdnZmXHjxmX0zNPMf954UalULFy4kJcvX+Lk5ETOnDmxtLTE0NAQd3d3bG1tefHiBRYWFmTNmhUvLy+srKwwNzcnODiYRglZOrXRo4cwYLp0EQbMpk3CqWriRBHONnQouo8eobKyEvUdHCBvXpHt09hYJNBKRrVQIpFIJD8Qjx6JkOerVyEoSMhpxMSgiotDt3t3EbG6fr3wnQSRkNHRUYRKb90qAkNS4MiRI5iamlKvXj18fX3JmjUrsbGxdO7cmT///BNfX18aN24MgK+vL506dcLR0ZHFixdneIboz+E/6/OSGB0dHdauXUvr1q2xs7NTOxLb2NiwZs0awsLCGDZsGIqikC1bNnx8fKhbty6mpqYcP3485cYdHUUyLA8P4S0eHS2ODxkCW7ag2rqVurNmiW0kEIJ2YWFw+bKI208UjSWRSCSSH5AbN6BRI/jnHyFE17KlOB4VRZ05c1Dt3CmMlwTD5e1bIcPh4yOEUNNouGTPnp34+Hi6d++Or68vI0eOpFWrVsAHf5jWrVuzfv36r5Ih+nP4Nkf1L6Cnp4ebmxtNmjTBysqKkydPAtCpUyf69evH8uXL1QZM9uzZ8fX1pVatWpiYmHDixImUG2/XTljH/v7iC/fuHe8bJ27XLgqeP4+upSVERIjjDRqITKDPnokv9CcUhiUSiUTynXLuHDRsKP5/7BgkhCFHRKBraUnhM2eI8/QUei4gMklbWAihOj8/sLZOsXlthouiKDg7O7N161Y2btxIvXr1ADh69CjW1ta0bNmS7du3o/cN+15K4yURmTNnZs+ePVSvXh0zMzP+97//AWBiYsLixYtZuHChWlQvR44c+Pv7U61aNUxMTDh79mzKjVtaii/a/v0iHfn7lRbFzIxjrq6oLl6E5s2Fwy5A5coinUDmzGBgAKdOZdS0JRKJRPJvcOiQWGEvWVJc79/nKeLRI2jeHNUff3Bs8mSU93nxePlSqOyePi1U3JOT7njP8ePHkxguAGPGjGHlypWsXbsWe3t7AM6fP4+5uTn16tVT+8N8y0jj5SOyZ8+Ov78/xYoVw9TUlHv37gHQt29f5s+fz6xZs5g5cyYgVIQDAwMpV64cpqamXL16NeXGjYyE89XRo0It8f0KzPOKFYkNCxNbRM2bf9gqKlUKjhwReSxatBDSzxKJRCL5/gkKEm4CdesKB90Euf+7d9UuA7FhYTxLEGl9+VLUv3xZuBY0aZJi8+fOncPMzIzatWtrGC5z585l1qxZLFiwgO7duwPw8OFDWrduTfny5fHx8SHrdxAsIo0XLeTJk4fAwEDi4+OxsrLi9evXgEjWOHHiRMaMGcOKFSsAyJUrF4GBgRQsWBAjIyPu3LmTcuPNm4sVmMOHxQrMmzfieNWqwgqPiICmTSGhnYR0Ak2bitWbhDQDEolEIvk+2bVL5L0zNBTuBAly/zduCKMkMlLcI6pVE8cTGy6hocLgSYHLly9jbGxM+fLl8fPzUxsuK1asYMSIEYwbN44h77VgHj16xOTJk9W7CTkTxvKNI42XZChRogRBQUHcvXuXmTNnEhUVBcDEiRMZPHgwzs7ObNu2DUCdH0lPT49WrVqpV2uSpWVLkVX6+HF0razQi4wUx8uXFwZMbKwwVm7cEMezZwdvb+jQQThmLVmSUdOWSCQSSUayfLnwX2nXThgxWbKI45cvQ+PGIiL18GGx4g7oRUYKn8gEw6VOnRSbv3HjBkZGRhoJFQG2bNlC//79GTx4MK6urgC8evWK1q1b8+7dO/z9/SmUsPrzHSCNlxSoUqUKe/bs4erVq3Tu3JnY2Fh10sYuXbrQpUsXfH19AShevDhhYWFERUXRsmVLjZxNWmnWDEJCUF24gMGkSfD8uThetqwwYDJlEhb4lSviuL6+SDMwbJgQJBo/XqrxSiQSyfeCooCLi9AAGzLkQz4igLNnxT2hQAFx/S9VShyPiMBg8mRU//tfqgyXu3fv0qpVK7Jnz05ISAj58uUDYPfu3XTt2pUePXqwYMECVCqVOtHitWvXmDBhAmXKlMnAyac/0nj5BI0aNWLEiBH4+vrSq1cv4uPj0dHRYc2aNdjY2GBnZ8f+/fsBKFOmDPv27ePNmze0bNmS8PDwlBs3MCB2715yPHiAnrHxB2fdkiVFuFyePOIL/eef4riODsydC7Nni7xJfftCXFzGTV4ikUgkX05MjND9mj5dXMPnz/+Qp+joUeHTWLYsHDgARYqI40+eoGtiQo67d4kLCvqk4fLo0SMMDQ1RFIWwsDAKFy4MQFBQEB06dMDe3p5Vq1ahUqk0Ei3u3r37uzNcQBovqaJevXqsX7+eTZs2MXToUBRFQU9Pj23bttGsWTNat26tDq3+5Zdf2L9/PxEREbRs2ZJHjx6l3HitWhyZMiWps27RouKLXKyYMGCOHv1wzogRsGEDrFsnlh8TQq8lEolE8m3x5o0I0NiyRYjJDR/+oSw0VAiS1qol/v9+pYQHD6BZM1R373J02jSU96q3yfHkyROMjIyIiIggNDSUkiVLAnDw4EHatGmDmZkZmzdvRldXF0VRGDp0KO7u7ri5uaWsFP8N89WMl5kzZ6JSqdROQsnh4eFBxYoVyZIlC9WqVSMgIODrDPATODg4sGzZMhYvXszkyZMBEVq9e/dudWj1xYsXAShXrhz79+/n6dOntGrViidPnqTY9quffhLRRhERwlD55x9RULCgMGCqVxeOXX5+H07q2lVoxwQGCkeuBI0YiUQikXwbPH4sfBwPHRKRpo6OH8q8vYVeS7NmoizBUfbWLeEy8PIlsWFhvPzppxS7ePLkCa1ateLhw4eEhYXxyy+/AHDy5EksLS1p1KgR7u7u6L/fopo2bRqLFy9m+fLl31SixbTyVYyXU6dOsWrVKqpXr55ivWPHjuHg4ECPHj04d+4cNjY22NjYqI2Cf5t+/foxY8YMJk+ezML3maETQqtLlSqFkZER169fB6BChQrs27dPvZT39OnTlBuvUEF8wWNihLPuzZvieO7cIp7f1FRY75s2fTjHykpEIv3xh1i1efgw3ecskUgkks/g5k0hMnrrlnADSKzJsm2bcNi1sgIvL8iWTRy/evVDCPThw+K+kAKJDZd9+/ZR+X1Y9Z9//ompqSk1atTA29ubLO+dghcuXMj48eOZMmUKffv2TecJf10y3Hh5/fo1jo6OrFmzhrx586ZYd9GiRZiamjJixAgqVarElClTqF27NkuXLs3oYaaa0aNHM3r0aIYOHcqGDRsAEVodHBxMrly5aNWqFbdv3wagcuXKhIWFce/ePYyMjHj27FnKjSc46+rpiS/wX3+J41myiPQC3bqJFZc5cz6c07ixOOfRI/FD+ZTWjEQikUgylnPnhLioogjV3Nq1P5TNmwedOkHnzkL6IkEM7o8/xINrrlzimp6GFZd9+/ZRpUoVAK5evYqRkRFlypTB399fHSa9du1ahg4dyqhRo3BxccmIWX9VMlz719nZGQsLCwwNDZk6dWqKdY8fP86wYcM0jpmYmODl5ZXieTExMcTExHzpUJNtO/G/AJMnT+bZs2f07NmTbNmy0bZtW/LmzUtgYCCGhoa0aNGCsLAwSpQoQYUKFQgKCsLExAQjIyOCgoLIkyjZYpL2ixSBsDD0TE2haVNig4Lg/ZeSZcvQKVAA3ZEjiXv4kPgZM0ClgooV4cAB9KytwcCAOA8PlET7mNrmkNHv0ffWh5zDt9GHnMO30Yecw+f3odq/H11bW5QKFYjz8hLiczExoCjojB6N7oIFxI0cSfyUKcK4iYlBdeoUuhYWUKYMsf7+Iuoo0X3t4zk8ffoUY2NjwsPDCQ4Opnz58sTExHD79m0MDQ3Jnz8/fn5+ZMuWjZiYGNzd3enduzf9+vXD1dWV2NjYr/Y+ZVS7KkXJuHjbHTt2MG3aNE6dOkWWLFlo3rw5NWvWVG+5fEymTJnYtGkTDg4O6mPLly9n8uTJWiN3Xr58Se7cuXFzcyNbwrLbVyI+Pp4FCxbw+++/M2nSJLXV++jRI1xcXMicOTPTpk0jd+7cgIi9Hz9+PKVKlWLSpElkzpw5xfYzRUTQcOJEMj9/ztGpU3n93gELoKyfH9XWruWmqSl/9u6t9lrXe/2aerNmke/KFc4MG8YDA4MMmr1EIpFIPqbIyZPUmT2bJ9WqcWrkSOISlGrj4qi5YgWlQ0P5s2dPblpaqs/J89dfNJw0iZelSvH7+PHEvl8pSY7IyEgmTJjA48ePmTJlCqXeh1W/fPmSMWPGEBsby4wZM9Rh0ufPn2fq1Kk0adKEgQMHfvVEi5GRkXTs2JGIiAi15kx6kGErL//88w+DBw8mJCREvd+WUbRo0YL8+fNnSNsxMTGEhIRgZGSkdnhKwNjYmNatWzNnzhz279+vNmAaNWpEixYtWLRoEXv37lV/YAmZqNevX6/OHZFS+xgZoWdsTEtXV2IDA4XjLoC5ObH16vFTnz6ULliQuNWrQVdXlFlbo+rWjbpz5hC/ZAnxvXql3EcGv0ffSx9yDt9GH3IO30Yfcg5p7yPTtm3ozpqF0ro1+bZswSRhOyg6Gt2uXVHt30/shg1UcnSk0vvzVadOoevkhFKjBrn8/DD+SN324zlERkZiaWnJkydPCA0NpUaNGoAQmzM1NSU6OpqDBw+qnXbPnj3L3LlzMTIywtPTU+v7kNHv0yf9PT+TDDNezpw5w6NHj6idaK8vLi6OQ4cOsXTpUqKiotBNuOG+p0iRIklWWMLDwymSEPeeDPr6+hn25UypD319fXbv3k3Tpk2xsrLi+PHjlChRgsqVK7N3716aNWtG27ZtCQoKImvWrDRu3BgvLy8sLCzo3r07bm5u6ja1zqFoUZHI0cQEfSMjkdsoIda/Vy/IkQNV587oREeLMDx9ffFyd4chQ9B1dkb3yRMYPfqrvE//1ufwPbX/NfqQc/g2+pBz+Db6yPA5KAqZZ81C19UV+vZFtXQpOgn3trdvoX17EVjh4YFemzYfzjt5EszMoGpVVEFB6KQgy6+vr098fDz29vacO3eO0NBQ6ry/F7x9+5Z27dpx9epV9u3bR6VKwjS6du0aVlZWVKlSBQ8Pj0/uTmTU+5RR732GrR+1atWKCxcucP78efWrTp06ODo6cv78+SSGC4CBgQFhYWEax0JCQjD4hrc/cufOTWBgIDo6OpibmxPxPmS5Ro0aBAQEcPr0aezs7NT7foaGhuzYsYNdu3bRvXt34j4lMleggEjCVaECtGqlqffi4CAceXfvBltbeJ/CAB0dWLQIpk2DiRPRGTRIitlJJBJJehMbS43ly4XhMnWqkP5PuLe9egXm5iLpoq8vJDZcTpwQ0UdVq4oEjZ/IJxQbG4uDgwMHDx7Ex8eHBg0aABAdHU27du04ceIE/v7+/PpeD+bhw4eYmJiQL18+jdxGPxIZZrzkzJmTqlWraryyZ89O/vz5qVq1KgBOTk6MGTNGfc7gwYMJCgpi3rx5XLlyhUmTJnH69GkGDBiQUcNMF4oVK6bOg2Rtbc3bt28BaNiwIbt372bv3r106dJFbai0adOGLVu2sHXrVvr160d8fHzKHeTJI1ZdatcWgkb79n0oa9NG6AXs3SsSfSUkelSpYOxYWLMGnTVrqDt3rhSzk0gkkvQiMhJdOztKhYURu3atkP5XqUTZs2dCm+vsWXFtNjb+cN6BA6KsWrVUGS7x8fH07NkTX19fdu3aRcuWLQFh0Dg6OhIWFoa3tzeNGzcGxBaSubk5b9++JTg4mAIFCmTE7P91/lWF3Tt37mjkAGrYsCFubm6sXr2aGjVq4OnpiZeXl9rY+ZapVKkSvr6+nDx5kvbt26tXWkxMTHBzc8Pd3Z0BAwaQ4B/t4ODApk2b2LRpEytWrPi0AZMzp8g+2qSJsOYTi/eZmYm/jx0TgkiJRfF69iTOw4PCZ86ga2UlxewkEonkS3nyBFq2RHXgACfGjUNxcvpQFh4u5P6vXxfb/u+NCkBcp83MoEEDod/1CcNFURRWr17Njh072LZtGxYWFoAwaHr16sWePXvYuXMnRu81ZBLyFV2/fp2goCBKly6d7lP/VviqxsuBAwc0Io0OHDjAxo0bNerY2dlx9epVoqKiuHjxIubm5l9ziF9Eo0aN2L17N0FBQXTv3l1tkNja2rJmzRpWrlypEV/fqVMn1qxZQ2hoKIMHD+aTgV/ZsolVlgTBut27P5S1aCGEkG7dEj+W91ozAIqVFccmTkQlxewkEonky7hxAxo2hJs3iQsN5VFiDZc7d8QD5pMnQqslcdnOnWBtDSYmYhvpE1s5iqIwfPhwgoKCWLlyJfb29urjgwcPVj/8WltbA8Kg6dq1K4cOHcLb2/uTorDfOzK3UTpjamrK1q1b2bZtG4MGDVIbJN27d2fevHnMmDGD2bNnq+s7OTnRv39/Vq1alToDJnNm4efSti3Y24Ob24ey2rWFT0xMjPhxXbigLnpWpQqx+/YJMbuGDT8I4EkkEokkdZw9K66figLHj2vmHPrf/4ThEhMj1HHfq90CsH698FFs315cvz8RgasoCkOGDGHp0qX07duXrl27qstcXFxYunQpK1euxPF9ugFFURg2bJh6haZ58+bpOOlvkwwXqfsvYm9vT0REBL179yZv3rxMmTIFgGHDhvH8+XNGjRpFnjx56N27NwBGRkZUqVKF/v37o6ury/z581El7J1qQ19fyEtnzSqUGt++FRlLAX75RRgwZmbih+TrK5YoQTiHHTsmVm4MDMTKTbNmGflWSCQSyY/B3r1C0r9yZZFnrmBBYagAqqNHxQNl8eLCj6V48Q/nLVoEQ4ZA376wbNmHbNLJkGC4LF68mKVLl1KiRAl12YwZM5gxYwZz585V3z8AJk2axKJFi1i2bBm2trbpOu1vFWm8ZBC9evXixYsXjBw5kjx58jD8fSZRV1dXXrx4Qd++fcmWLRvt27cHoGfPniiKgrOzM3p6esyePTtlA0ZXV2SVzpoVevYUBkyCY3ORImILycYGjI1Rbd0qUg4AlC4tDBhbW+HtvnYtJN6vlUgkEokmmzeLB0QTEyFFkWjLp+jvv6O7cKF4SNyzRwRYgFidmTYNxo+HESNg1qwPDr3JkNhwWbFiBT169FAnJ166dCljx45l4sSJ6vsJwNy5c3F1dWXGjBn0798/vWf+zSKNlwxkxIgRvHjxgt9++42CBQvi5OSESqVi0aJFREZG0qVLFzJlyqRW2+3fvz9xcXEMGjSI7NmzM2nSpJQ70NERlnzWrDBwoAiHHjxYlOXKJZzDOndG196eEgMHCkdfgLx5xdNBv37QpYvwjxk37pM/LIlEIvlPoSgil9yoUeIhccWKDw+CgGr9eurOmoVia4tqyxaxrZ9w3oQJInx66lQR+ZkKw2XEiBFqw6Vv377qwI/t27czcOBAhg0bxsSJE9XnbNiwgREjRuDi4sLo93pe/xWk8ZLBTJ06lfDwcHr06EHRokUxMjJCR0eH1atXExkZSefOnXFxcVE7Jg8cOJDIyEhGjx5N3rx5GZxgjCSHSgVz54qVmCFDxDLmb7+JsixZYMcOlF69qL14MXEVKgiDBcTW05o1UKaMMFwePoTFiz9oFEgkEsl/mYSHwWXLxDXS1VXTAJk/H73hw7lpZkaJLVvQ0Wa4zJ4tVl1SwdSpU5k3bx6LFy/WyPj8xx9/MHXqVJycnJg7d656Rd7f359evXrRp08ftWvCfwlpvGQwKpWKFStWcP/+fdq1a8fhw4epUaMGurq6bNq0iRcvXjBjxgxatWpFo0aNABg1ahTPnj1jyJAh5M2bF6dPbeuoVGJJMlMm8UOJjBRLlSoV6OoSt2IF/zx6RNn+/YWQ3ZAhH85zcRHbTL17ixC/rVs/6UwmkUgkPzRv30LHjuDjAytXQp8+H8oUBSZPhsmTiRsxgj8bNqREgh/LZxouCxcuZMKECUybNo2BAweqj589e5aZM2fSsmVL1q5dqzZcTpw4gb29PVZWVixbtixlF4MfFBlt9BXQ19dn586dlCtXDnNzc+7cuQOIRJQ7duygTJkyWFlZcfHiRfU5M2fOpFevXnTv3v2TWbUBYYhMnapW1WX0aPFDAtDR4ULPnsT99hsMHSrqJKZHD/DyEjoypqbw4kW6zFsikUi+O548EWrmwcHiuvix4TJsmDBeZswgftq0D6sxiiIeGtNouKxbt46hQ4cyatQoDdHWS5cuYWFhQcmSJdm+fbtaZv+vv/7CwsKCWrVq4ebmplWt/r+ANF6+Ejly5MDf359MmTJhZmbG8+fPAciWLRsuLi6UKlUKY2Njbty4AXxYsbG1tcXe3h4/P7/UdTR2LCxYIH48gwZBgvidSiV+aK6uYgl05MgPZQBWViINwZ9/QtOmcP9+ek5fIpFIvn1u3IBGjeDaNaGEa2X1oSwuTvi9LFwotpIS+5gkGDXTpqXJcHF3d6dXr17069ePGTNmqFdQrl+/jpGREcWKFWPChAnkyJED+CD7X6hQIXx8fMiakLX6P4g0Xr4iRYoUISgoiIcPH2JjY8O793L9OXLkwM/Pjxw5cmBkZKRWHdbV1WXLli1YWVnRrl07goKCUtfRkCGwapX4gfXq9SGvkUolngwWLhROaF27qkP9AKFfcPSoWHkxMIArV9Jr6hKJRPJtc/q0uO7Fx4uIzHr1PpRFRwudlk2bRBLcxFE9cXHo9u37wahJpeHi7+9Pp06d6NSpE0uXLlUbLnfv3sXQ0JCcOXMSEBCgNlxevnyJmZkZMTExBAUFkS9fvvSa+XeJNF6+MhUqVFCnEXBwcCA2NhaAwoULExISQnR0NMbGxjx79gwQW07bt2/H1NQUGxsbQkJCUtdR794ivG/jRpGO/X0/gHBC274dduwQTxavX38oq1RJ/HBz5hRKvb//nl5Tl0gkkm+TwEChPv7TT+L698svH8oiI4XshLc3eHoKba0EoqOpM38+qs2bxfU2laHK+/fvp127dlhZWbF+/Xp03vvMPHr0CCMjI+Lj4wkNDaVw4cLvuxGy/zdv3iQwMJBSpUqlz7y/Y6Tx8i/QsGFDPD098fPzo2/fvuo0AqVLlyYkJISHDx9iYWHB6/dGRaZMmdi5cyeGhoa0bt2afYkTM6ZEp07g7o5q1y7qzpnzIes0QIcO4gebkA/p8eMPZSVKCIXISpVE2oGdO9Nr6hKJRPJtsW6deIhr2VIkvS1Y8EPZkyciieLBg0KYzsbmQ1lkJLq2thQ5cYK47duhc+dUdXfgwAEsLS1p1qwZ27dvR+996PWLFy8wMTHhxYsXhIWFUbJkSUDI/vfo0YMjR47g7e1NtWrV0mvm3zXSePmXsLCwYPPmzWzZsoUNGzao0wJUrFiRoKAgLl26RNu2bYl6b3BkzpwZT09PmjdvjqWlJQcPHkxdR7a2xHl6UujsWXRtbcVTRAKtWokf5Z07Yp/35s0PZXnzQkiIUJRs3x6mTPngACyRSCTfO4oCkyYJP5aePYXieOJ8Q4n9X/bvF6KeCbx8CWZmqA4dEokZExs1KXDgwAEsLCxo2LAhXl5eao2v169fq4M5QkJC+CXRys/GjRvZuXMn27Zto5lURFcjjZd/EQcHBxYvXoyvry/Tp09XH//111/x8fHh0KFDODo6EvfeZyVLlizs3r2bRo0aYWFhweHDh1PVj2Juzu/jxqE6fBgsLODVqw+FtWqJ1RdFET4v589/KMuSRezvTpkiwv86d4b3fjoSiUTy3RIVBd27i6ihadOSiM9x5kzy/i9Pn4oHvz/+IC4wkMc1a6aqy8SGS2Jn23fv3mFjY8PFixcJCgqiatWq6nNmz56Nj48PCxYsoF27dukx8x+GDDVeVqxYQfXq1cmVKxe5cuXCwMCAwMDAZOtv3LgRlUql8cryg2uO9OnTB0dHRyZPnszy5cvVx5s3b46HhwdeXl706tVLvbWUNWtWvL29qVevHubm5vyeSp+UJzVqEOfvL36UJibiySGBsmWFo27x4iLSKPGqjkolopPc3WHXLrG0+uRJusxdIpFIvjpPn4pVFDc34afysfptSIjI+VamTFL/l/BwUXb7Nuzfj2JgkKouDx06pNVwiY2NpUOHDhw9ehQ/Pz/q1q2rPmfFihWMGzeODh06/Kdk/1NLhhovJUqUYObMmZw5c4bTp0/TsmVLrK2tuXTpUrLn5MqViwcPHqhft2/fzsghfhPY2toyaNAgBg4ciLe3t/q4lZUVmzZtYsOGDfz222/qraVs2bLh6+tLzZo1MTc319CHSQmlUSMRDv2//4l93PdOwQAUKiSWRuvVE0kdg4M1T7a3F0bNtWvCkffWrS+dtkQikXxdEraC/vc/4d/ysZ/K7t1gaSkMlI/9X8LDxcPbs2dw6JBYtU4Fp0+fxtLSkgYNGmgYLgm57Pz8/Ni1axdNmzZVn7Nnzx6cnZ0ZOHCgOv+dRJMMNV6srKwwNzenXLlylC9fnmnTppEjR44UVwtUKhVFihRRvxK8rX9kVCoVs2fPpk2bNjg4OHDixAl1maOjI0uWLGHBggUaW0vZs2fH19c3iT7MJ6lbV/wob94UzriPHn0oy5lTOKW1bAmtWwuBpsTUqyeeRGJjxZJq4i0miUQi+ZY5dUpct+Li4PhxYcQkZuNGsLMT2aG9vCBbtg9lCYbL8+fiIa9ixVR1eenSJUxMTKhSpQre3t4auizTpk1j9erVrFmzRp0eBuDo0aN07NgROzs75syZ859Uz00NX83nJS4ujh07dvDmzRsMUlhqe/36NaVLl6ZkyZKfXKX5kdDR0WHLli3UqlULKysrrl+/ri4bMGAAkydPZty4caxYsUJ9PE+ePAQHB5M9e3aMjY15+PBh6jqrVUusojx+LLaJ7t37UJYli3j6sLYWmafd3DTP/eUXYcAkbDGlNvJJIpFI/i38/EQodNmySbeCABYtgm7dhOPu1q0i91sCHxsuFSqkqssbN25gZGREiRIlNPRaANavX8/48eOZMmUK3bp1Ux//3//+h5WVFQ0aNGDz5s3qEGpJUjI8t9GFCxcwMDDg3bt35MiRgz179lC5cmWtdStUqMD69eupXr06ERERzJ07l4YNG3Lp0iVKlCiRbB8xMTHq7JvpTUK7X6N9fX19du3aRZMmTTA1NeXQoUMUKFAAgNGjR/P48WOcnZ3JmTOneikxX758BAQE0Lx5c4yMjAgJCSF//vyfnkO5chAWhp6pKTRpQmxQkNjjBbH/u3kzulmzouPoSNz9+8QnThD5PhJJt0MHVKamxK9ZA3nyZNh7lOwcvqP2v0Yfcg7fRh9yDt9GHwntKitWoAwdimJpSdzmzWJFJaFPRUFn2jR0XV2JGzaM+BkzhJNugvr47dvomZnBmzfE7t0rjJ9E401uDvfu3aNVq1Zkz54df39/cuTIoa7j6elJr1696N27NyNHjlQfv3//PqamphQrVoydO3eio6PzQ30O6Y1KUTI2/jU6Opo7d+4QERGBp6cna9eu5eDBg8kaMImJiYmhUqVKODg4aM2a+fLlS3Lnzo2bmxvZEi/xfec8ePCA0aNHU6RIEVxdXdXhdPHx8SxevJjDhw8zduxYfv31V/U5d+7cYdy4cRQoUABXV1cNKz8lsj56RMOJE9GNjuaYqyuvixf/UKgoVN6yhXK7d3PN2ppLXbpAoicBVWwsNZcto9T+/Vzs1o3r1tbp8wZIJBLJlxIfT+WtWym3ezc3LCy40L07JM4DpChU2bCBX3x8uOzoyN+2thqOuznu3cNg4kQUXV2OTZ5MZJEiqeo2IiICFxcX3r17x4wZMyiYyG/mzJkzzJgxg4YNGzJkyBD1ysqbN29wcXHh1atXzJo1S/3Q+iMQGRlJx44diYiIIFeuXOnWboYbLx9jaGjIzz//zKpVq1JV387ODj09PbZv356kLMF4efDgQZLVhvQiJiaGkJAQjIyM1Imxvkb7p06dwtDQEBMTE7Zv365OvhUTE4O9vT379u0jMDCQhg0bqs/5448/MDExoUyZMgQGBpInT57UzeHBA7EC8/QpsQEBUL26RrHOsmXoDBuG0r49cWvXiuzVCSgKjB2L/rx5xPTuLfIqfcX36Xtp/2v0IefwbfQh5/AN9BEVhap7d/Q8PIieMQPVsGGaEUUxMeg6O6OzcSNxixYR36+f5vnnzqFnaQkFChAbGAjFiqVqDhERERgZGXH//n327dtH+fLl1XUPHz6MhYUFhoaGuLu7q+ccHR2NlZUV586dY//+/VSpUiXZ9jOCjO7j6dOnFC1aNN2NlwzfNvqY+Ph4tfDap4iLi+PChQsazkza0NfXz7AP9mv18XH7DRs2ZMeOHbRp04aRI0eyaNEiVCoV+vr6eHh4YGpqirW1NQcPHqRGjRoA1KlTh9DQUFq2bImVlRV79+7V+LIkO4dSpYT3vLEx+kZGsHcv1KnzoXzIECheHFWnTug8eSJ8YnLmVBfHzJjB+chIaqxZg+r6dfDwEFtLGcDX/hy+xz7kHL6NPuQc/qU+nj+HNm1Qfv+dUyNGUHP4cM32X70S0ZOhoWJ7vHNnNPIyHz0q9LDKlYOgIPRT8WCsr69PVFQUbdq04datWxw8eFDDCDl9+jQ2NjY0bNgQDw8PtQRIfHw8vXv35ujRo4SEhFAzGc2Y7/JzSNRuRpCh3kBjxozh0KFD3Lp1iwsXLjBmzBgOHDiAo6MjAE5OThopwF1dXdm7dy83btzg7NmzdOrUidu3b9OzZ8+MHOY3S+vWrVm+fDlLlizR2DbLmjUrPj4+/Pzzz5iYmHDt2jV1Wa1atQgJCeHKlSuYmZnxKrEgXUoUKCCcbytWFM5pR45oltvZifDpU6dEGOFHzsG3TUyICwiAc+egQQP466/PnrdEIpF8FjduCCmHCxeICwri/scRRffvi0CDo0dFepSPQ6X37gVjY6hZU8hKpHJF//Xr11hYWPDHH38QGBhI9USr15cuXcLU1FQdcZRYu2z06NFs376drVu3aoRKSz5Nhhovjx49wsnJiQoVKtCqVStOnTpFcHAwRu9llu/cuaPOoAzw/PlzevXqRaVKlTA3N+fly5ccO3YsVf4xPyp9+vRh2rRpTJw4kSVLlqiP586dm8DAQHLnzq1epkygTp06BAcHc+HCBSwsLHjz5k3qOsuTR/x4f/1VCNmFhmqWN28uch6Fhws13o8MFKV5czhxQvjF1K+f9HyJRCLJKPbvF1IQ797B0aNC1yoxly6JUOnHj8XDmaGhZvmuXULjpUULYdikcovj7du3WFtbc+7cOYKCgmjQoIG6LCHiqHjx4kkijhYtWsScOXNYuHAhdnZ2nz3t/yoZarysW7eOW7duERUVxaNHjwgNDVUbLiDkkjdu3Kj+e8GCBdy+fZuoqCgePnyIv78/tVIpBPQjM2bMGIYNG8agQYPYunWr+nihQoUICQkhNjZWIxM1QP369QkKCuLcuXPY2NikequOHDkgIECsrlhagq+vZnm1akIjIUsWoZOQSJMGECGIx48L48XUVMhuSyQSSUaybJlQza1dW6wOf6zDcuCAuF7lzg2//57Er4+NG8VWUrt2sGcPJNJjSYnXr18zdepUzp8/T1BQkIYP4r179zA0NCRHjhzs3buXvIm20j08PBg6dCgjRoxg0KBBnznp/zYyiPw7QKVSMXfuXLp27Uq3bt0ICwtTl5UqVUqdidra2pq3b9+qyxo2bEhgYCCnTp1i9uzZqQ9Zy5pV/IAtLIRg08dZpUuVEk8uFSpAq1aoDhzQLM+TR+gqODuLFPEjR34IPZRIJJL0Ii4OBg+GAQPEKzAQ8uXTqKLy8REPUnXqiJXjj2U31q1LXuMlBd69e4etrS3Xr1/Hz89Pw3CJiIjAzMyM2NhYQkNDNcRW9+/fj6OjIx07dmTmzJmfP/f/ONJ4+U5QqVSsXr2aVq1a0bZtW42UABUrVsTX15czZ87QoUMHYmNj1WWNGzfGw8ODP/74gx49eqhzJH2SzJlFPqMOHcDBATZs0CzPl09sMTVqhG7r1hQ6fVqzXE9PCD8tWABz54q95ejoz52+RCKRaBIZKYQ0ly4VKy8LF2omVwRK7N+Pbvv2YhXZ31+svCRm3TphtPTrBytXaoZSp0BsbCwODg4cO3aMcePGaQivRkdH06ZNG/755x+CgoIoVaqUuuzChQvY2NjQrFkz1q9fL0XovgD5zn1H6Ovrs3PnTn766SfMzc01/FwMDAzw9PQkICCAnj17ahgpRkZGDBkyBHd3dwYPHkyqo+P19GDTJvHj7t5dXCQSky0b+PigGBlRf+ZMVB+r8YKIVHJ3B09PkTMpIuIzZi6RSCSJCA8XvikhIeDjI1Z4P0Jn+XJ+XbQIpXNn2LFDPJAlZu3aD4bLsmWaodQpEB8fT/fu3fHz82PHjh0aWaDj4+Pp1q0bR48exdvbW8Nf8+7du5iZmVGmTBl27dpFpsSSE5I0I42X74xcuXLh7+9PfHw8lpaWvH79Wl1mbm7Opk2b2Lx5s0YiRxArMEuXLmXp0qVaBf+SRUdHPJEMHQoDB8KsWZrlmTMTt2MHd5s0Qa9rV5gzR2i/JMbOTlxkzp5Nmo5AIpFI0sKVK8Lx9s4dkebEwkKzXFFg6lR0hwzhWuvWxK1alWRFhvnzoVcvYfSkwXBRFIXBgwezdetWtmzZkkTGY8yYMVqjhxK2kXR1dQkICEhXvZP/Kl9d50Xy5STkymjcuDHt27fH29sbvfc/zo4dO/Ls2TMGDhxIwYIFNULRe/XqxYsXL3BxcSF37twMTiz5nxIqFcybJ7RdRo+G16/B1fXDD15fn3ODBlG8fn10R46Ef/4R20WJl2CbNhV+MmZmIsGjl5eIDJBIJJLUcugQ2NgI0bj9+6F0ac1yRYERI2DePOImTeJSjRqUTmyYKApMmABTp8KYMTBtWqoNF4Dx48ezdOlSVq1aRYcOHTT8COfMmcPs2bNZsGCBRvRQgv7L3bt3OXr0KMWSEbyTpA1pvHynVK9eHU9PT8zNzRk4cCDLly9XZx8dMGAAT58+ZezYseTPn18j8deYMWN48eIFQ4YMQV9fn/5allu1olLB5MmQPTuMGiUMmPnzP/zwVSriXV3R/ekn8TRz/75wfkukaUCVKnDyJLRpA02awPr10LFjOr0jEonkh8bNTTjWNm4swprfK4iriYoS29tubrBkCfF9+ojIyQTi44Vz79KlYgV55Mg0dT9nzhymTZvGnDlz6N27t0bZ2rVrGTlyJOPGjWPIkCGJuvywjRQSEvKflv1Ib6Tx8h1jbGzMqlWr6NmzJ2XKlGFkoh/jhAkTePLkCX379iVXrlzqVOwqlYpZs2YRExODs7Mzenp6SX6IKTJypAindnaGN2+ShkL36QNFiwpHXyMj8PbW9P4vUkQ8MfXpA46OcOGCePqRjmsSiUQb8fHiGjFhAnTpAqtXa6YoAXj2TDwUnTghoiPt7DQSKBIbKwybrVth1SpIyzUPWLNmDSNHjsTFxYXffvtNo+zw4cPMnz+fAQMG4OrqqlGWsI3k7u4uRejSGWm8fOf06NGDmzdvMmrUKEqXLq3ONq1SqVi0aBHPnj3DyckJFxcX9f6sSqVi/vz5xMbG0qdPH/T19TVWZz5J//5iBaZ7d2HArF2rWd66tVCntLIST0mBgZrLu1myCF2F6tXFEu+lS7Btm0bKAYlEIuHVK+jaVaQkcXWFceOSbvPcuAHm5vDkiVAJTxSyDAjRus6dRbSRm5t4sEoDbm5u9OnThwEDBiTxFwwICGDhwoU4OjqqU7gksHTpUmbPns38+fOxt7dPU5+STyONlx+AKVOmcPv2bZycnChYsCAtW7YEQEdHh40bN/Ls2TNmzpyJkZGRWotApVKxePFiYmNj6dGjB3p6enT+WCo7Jbp0EdFGHTui+/o1Oh+fa2AAx44JfQUDA2HAvM/B9H4AMHw4VKokQrENDETUQNmyX/p2SCSSH4Fr14R/y507YgW3deukdU6eFA9JuXIJccxy5TSK9d6+RdfaWpR5ewsjJw24ubnRuXNnunTpksQ4OXjwIB06dKBOnTqsXr1aI+x5z549DBo0iCFDhjB06NA09SlJHXKt/gdApVKxbt06mjdvjrW1NacTaa7o6+uzY8cOypQpg5WVFZcvX9Y4b9myZfTo0YOuXbvipi3UOSXs7MDLC1VwMPWmTxerMIkpX15cNIoVEz4uicT11JibC8XLqCjhyPux4J1EIvnvERwsHPqjo8VWkDbDxctLpCz5+WethgtPn9JwwgRUZ84ITarPNFycnJxYu3athnFy6tQpLC0tadSoEb/99ps6YALg2LFjdOzYEVtbW+bNm5emPiWpRxovPwiZMmVi9+7dVK1aFTMzM41kjdmyZcPFxYXixYtjbGzM3bt31WU6OjqsWrWKzp0707lzZ/bs2ZO2ji0siPPxIf///oeuqanI6JqYwoU/SHObmYmM0x9TqZK4QNWqJfxk1q9P2xgkEsmPgaIIsTlzc7H9c/KkuD58zMqVQv3b0lI8FBUooFn++DF6RkZkCw8nNiREPDylAQ8PDw3DRTdR5OTVq1cxMzOjatWqeHh4aGRNvn79Oq1bt6ZOnTps3rxZitBlIPKd/YHInj07fn5+5MuXDwsLC54+faouy5EjB35+fujo6GBpaamRbVpHR4d169Zha2uLg4MDB9K4+qG0aMHRqVNR/f23EI569EizQo4cYkvI3l7sN69bl7SRfPnE1lLPntCjB0yalFQvRiKR/LjExsKgQUJTavhwcc34OKJIUWD6dCEsN3CgEJ/7OA/R48fQsiU8fsyRadPEQ1EaCAoKwtHRkQ4dOiQxXMLDwzEzM6NQoUL4+/trJFp88eIFVlZW5M2bN0n2aEn6I42XH4z8+fMTEBDAs2fPaNOmjUZCxqJFi+Lv78/NmzeTlOnq6rJlyxaaNm1K69atOXv2bJr6ffHLL8SGhgrly6ZNIdHqDiDyhWzeLKKMevbUbpzo6cHy5TBjhgjL7t5dbCdJJJIfm9evhX/LihUiGmj27KRS/Yoioh1dXMT1YeHCpFGK4eFqwyV2715elyyZpmEcOXKEtm3bYmpqysaNGzUMlzdv3mBlZcXbt28JDAwkX6IoygQtl4cPH+Lr66tRJskYpPHyA/Lzzz/j7e3NyZMn6d69u4bSbrVq1fD29ubIkSN07tyZuLg4dVnC1lOlSpUwNTXl77//TlvHVasKEam3b8Uy7Y0bmuU6OkLNcvp0cfHp0UMznBGEI+/o0bBli4gMaNkSHj5M61sgkUi+F+7dE9eLQ4dERJC2MOa4OKGIO3euyJk2YULSqKNbt0R049OnQo5B23ZTCpw7dw4LCwvq16+Pu7u7xnZQQi6jy5cv4+/vT+lE0ZOKotCrVy+OHTuGt7c3FT/OaC3JEDLUeFmxYgXVq1cnV65c5MqVCwMDAwIDA1M8x8PDg4oVK5IlSxaqVatGQGKRIUmqadiwIZs3b8bNzY3JkydrlDVv3pwdO3awa9cuBgwYoGHc5MiRA39/f/Lnz4+xsbFG/qRUUa6cyNyqry8uSP/7n2a5SiWULbdsEZoLVlYiHPJjOnUS0t83b0KdOsLpTiKR/FDkunkTvQSD4+hRMDFJWunNG2jXTsgrbN4stpY+5vJlYbjEx4t20mi4XL16FRMTE8qXL4+Pj49aFwuEcTJo0CACAgLw8PCgdu3aGudu3bqVHTt2sHnzZpqk0bdG8vlkqPFSokQJZs6cyZkzZzh9+jQtW7bE2tqaS5cuaa1/7NgxHBwc6NGjB+fOncPGxgYbGxuNDMqS1GNvb8+MGTOYPn06YR9F+tjY2LB69WpWrlzJxIkTNcoKFCjA3r17iYuLw8jIiMePH6et41KlxFNUvnxiC+ncuaR1OnWCoCARJdC0qVDk/ZgGDeD0aShRAt3mzSmxf3/axiGRSL5ZVJ6eNBkzBgoVEhGH1aolrfTwoYgoCg0Voc7a5BxOnRLXkHz5RAqSMmXSNI47d+5gZGREwYIFCQwMJOdHelMzZsxgxYoVrFixAjMzM42yNWvWsGvXLmbOnKnW2JJ8JZSvTN68eZW1a9dqLbO3t1csLCw0jtWvX1/p06eP1voREREKoDx58iTdx5lAdHS04uXlpURHR3+X7cfHxyvdu3dXdHV1leDg4CTlM2fOVABl0aJFScquXLmiFClSRKlevXqK73Gyc3jyRFHq1FGU3LkV5dgx7Sf/+aeiFC+uKKVKKcqlS9rrvH2rxDk5KQoosUOHKkpMTLJj+Vwy+nP4Gn3IOXwbfcg5fIKYGEUZOVJRQPmnSRMl+vlz7fUuXBDXhWLFFOXsWe119u1TlBw5FKVBA0V5+lSjKDVzCA8PV8qXL6/89NNPyt27d5OUL1u2TAGUSZMmJSnz9fVVdHR0FHNzcyUqKirZPr6EH+G79OTJEwVQIiIi0rXdryZSFxcXh4eHB2/evMHAwEBrnePHjzNs2DCNYyYmJnh5eaXYdkxMjEaCrPQkod3vtX2A+fPnc/bsWezt7Tl06BCVEi2pDh06lPDwcAYPHkyePHlwcHBQl5UtW5agoCCMjIwwNDQkODiYvHnzpn4OuXJBUBC6NjaojIyI270bpUULzToVK8Lhw+i1bg2NGhHn6YnysYy2ri4xy5dzPVMmqi5eTPyFC8Rt3aqZduAL+Rqfw4/wXZJz+Pfb/xp9ZFj7T56g26kTqoMHiZk5kzMVKmCUKVMS3zdVSAi6Dg7w00/EenlBiRJJ6/j4oOvoiNKkCXEeHkL1O1GdT83hxYsXGBsb8/LlS/bv30+hQoU06rq5ueHs7MygQYMYM2aMRtmZM2do37495ubmdOvWjdjYWA0Bu/TiR/oupTcqRcnYeNQLFy5gYGDAu3fvyJEjB25ubknSiCeQKVMmNm3apHEDXb58OZMnTyY8PDxJ/ZcvX5I7d27c3NzIli1bhs3hR+DNmzeMGTOGd+/eMXv2bPIkCkFUFIXFixdz6NAhXFxckuzp3r59m3HjxlG4cGEmTZqkER6YGnSjoqg3Ywb5L13i1MiRhGvJJq335g31Zs0i3+XLnBs8mHvJ7B0X+PNP6s6ZQ3T27JwcO5ZXpUqlaSwSieTfIfe1a9SbNQvd6GhO//YbT7RtEwGl9+6l+sqVPKpVizO//Ubsx6HQQMn9+6m5ZAkPGjTg7NChxCdyrk0Nb9++ZfLkydy9e5epU6fy008/aZSfPHmSmTNn0rx5cwYMGKCh1xIeHs7IkSMpXLgwU6ZMIXPmzGnq+79GZGQkHTt2JCIigly5cqVbuxluvERHR3Pnzh0iIiLw9PRk7dq1HDx4UGt2zc81Xh48eED+/PkzZPwxMTGEhIRgZGSk4X3+vbSfuI+KFSvSvHlzSpYsSUhIiIbBFxsbi52dHfv37ycoKIgGDRpotHH+/HlMTEwoV64cAQEBGl/CVM0hKko8cfn7E7d+PYq2/CLR0ej27o2OmxtxM2YQP2yYOqJAo49//kHP1hZu3SJu40YUbeqbn/kefY3P4Uf4Lsk5/Hvtf40+0rt91ebN6Do7o1SrRpy7O5QsmbSP+Hh0xo1Dd+5c4vr2JX7+fCGf8BE6S5agO3w48d27E7dsWdKQ6k/M4dWrV1hZWXHx4kUCAwOp+9HD1MGDB7G0tMTMzAw3NzcN9dxnz57RtGlT4uLiOHToEHny5PmuPod/o4+nT59StGjRdDdeMnzbKFOmTPzyyy8A/Prrr5w6dYpFixaxatWqJHWLFCmSxEgJDw+nSJEiKfahr6+fYR/s1+rja8yhbNmy+Pn50bRpUzp37szu3bvVP0x9fX08PDwwMTHB2tqaI0eOaBiYdevWJSQkhFatWmFtbU1wcDDZs2dP/Rz09cHTE3r0QM/JSQjZDR+etM7WrfDTT+iOGYPuvXtCyyHRxUlfXx/9ChWEo2/XrsKISS5h22cgv0vfRh9yDt9GH1/cfkyMEJ1btgx69EC1dCk6H4m36evrox8XJ/KleXjA/PnoDhmC7se/Z0WBKVNg4kQYMQKdWbPQScVvPvEcXr9+TevWrbl48SJ79+6lfv36GnXPnDlDmzZtaNq0KTt27NBYVYmKisLOzo6nT59y/PhxihUrpt4S+eY/h3+xj4wa91fXeYmPj9cQR0uMgYFBkqiYkJCQZH1kJGnn119/ZdeuXQQEBCRJGJY1a1Z8fHwoUaIEFhYWSQzJX3/9lb179/LHH39ga2ub9r1MPT0R7jhmDPz2G4wfn1SoTqWCadOE/Pfy5UIC/OOcSSBUe3fuFHoxEyaI5I7a6kkkkn+HiAiwsBCicytXiuzz2lRnX70S9Xx8RPbooUOTPogoihC2nDhRXB9mz07zw0qCkNyff/6p1XC5desWFhYWVKlShd27d2sYLoqi0L9/f06ePImPjw/lPs6jJPnqZKjxMmbMGA4dOsStW7e4cOECY8aM4cCBAzg6OgLg5OTEmDFj1PUHDx5MUFAQ8+bN48qVK0yaNInTp08zYMCAjBzmfw5TU1OWLVvG0qVLWbx4sUZZnjx58PPz4927d1hbW/P27VuN8nr16uHl5cW+ffvo1q0b8fHxaetcpRIidbNnw9SpMGSI0Gb4mD59wNdX5C1p0UIoZ36Mjo4wXDw8wM9PZKa+fj1t45FIJOnPzZsiN9GpUyIpYp8+WqtlevkSXRMTIYkQHCxUdj9GUYSqrqsrzJwJY8emeTixsbF07NiRw4cP4+Pjk8Rwef78Oebm5mTPnh0fH58kfn1Llixh/fr1rF69moYNG6a5f0n6k6HGy6NHj3BycqJChQq0atWKU6dOERwcjJGRESDi6x88eKCu37BhQ9zc3Fi9ejU1atTA09MTLy8vqlatmpHD/E/Sp08fhg8fztChQ/Hz89MoK1WqFL6+vvz55584OTlpqPACtGrViq1bt+Lm5sawYcP4LLepESOEFPiSJUI586M+AJGc7dAh+Ocf9Jo2JcfHKQcSsLUVOhGRkSITbXBw2scjkUjSh8OHoX59kdrj99/Fw4c2btyg8dixqO7cEclbP44yBHFd6NdPpAyZOxdGjUrzcBRFoU+fPnh7e+Ph4UHz5s01yqOiomjbti3h4eEEBgZSqFAhjfKQkBCGDRvGsGHDcHJySnP/kowhQ31e1mlLwJcIbQkA7ezssLOzy6ARSRIza9Ysrl+/TocOHThy5Ag1a9ZUl9WpU4ft27fTtm1bBg0axNKlSzVCAe3s7Hj8+DHOzs4UKFCAaslEDqRI375i+6drV7F0vHUrZMqkWad2bXEBNDOjyejRqCpVEikDPqZqVfGU5+gosldPny4udBkQviiRSLSQkBF6xAihduvpmTTbcwLHjqFnbY1KT4/Y/fvR1xLAQXS0EKXz9BSZ5rt1+4whKYwePZr169ezZcsWrKyskpT37NmTY8eOERYWRvny5TXKL1y4gK2tLcbGxsyaNSvN/UsyDpnb6D+Mrq4uW7dupWLFilhaWnLv3j2Ncmtra1atWsXy5ctxdXVNcn7//v2ZOHEi48ePJyQk5PMG0amTuDh5e0ObNiIv0seULk3swYNElCmDrpmZyCSrjbx5xVaTi4vwq7G3FwnfJBJJxvLqlfi9DRsmXqGhyRsu27dDy5YoFStyePZskVLkY968EalDvLzE9eEzDBcAT09PFixYwOLFi+nUqVOS8okTJ7J161Y2b95M48aNNcru37+Pubk5ZcuWxd3dXSPqSPLvI42X/zgJe7wqlQorKytef3Sz79mzJ9OmTWPSpEmsWLEiyfkTJ06kd+/erFixAg8Pj88bhI2N8Fk5cEBsFWnLdZQnD8cnTECxsxPOuTNnJnX2BRGZNGWKcPwLChIpBtKaYFIikaSey5c/bNfu2iX82bTd6BVFONh37Ajt2xMXGEi0ttDZZ8/A0BCOHYPAQPFQ8xmsWrWKbdu2MWHCBAYOHJikfP369UyZMkWrtP+rV6+wsLAAwN/fP0nKAMm/jzReJBQrVgw/Pz/+/vtvHB0dk/i4jBkzhsGDB+Ps7JzEQFGpVCxatIgmTZrg5OTEnj17Pm8QRkbi4nf2rLhwPXuWpIqir0/c+vUiSmnMGLHtFBurvb02beDkSRGqWbeuyFYrkUjSl+3boV49IXNw+rSIDtTGu3dilXXSJBEttHEjaBN3u38fmjUTDxz79mnfIk7VsLYzaNAgLC0tcXFxSVLu7e1N79696dOnDyNHjtQoi42Nxd7enuvXrxMQEECxYsU+awySjEUaLxIAatSogbu7O35+fowYMUKjTKVSMX/+fBwcHHB0dEwSzq6rq8ugQYNo06YN7du3x9fX9/MG0bixSGV//bpIxqYtwkilElEH69aJffDWrbWv1IDILHvypHAEtLIS0U1pjY6SSCRJiY4W2Z07dhQrp7//Dh/5i6h5/BhatRKroe7uIlpImy/atWvQqBG8eCGcfrUocaeGgIAAnJyc6NSpE927d08i279v3z7s7e1p27Yty5Yt0yhXFAVnZ2dCQ0PZtWvX5/nySb4K0niRqDE3N2fRokUsWLAgyRaRjo4OGzZsoGXLltjY2HDmzBmNcl1dXTZt2oSVlRW2trYEBgZ+3iBq1xYRRk+fCmMmudDn7t0hIEBkkW3WDD7y11GTO7fYN584UazY2NjAkyefNzaJRAJ374qHi5Urhfjcli0ir5A2/vc/EXl07ZrYFra3117vjz/E7z1TJjh6VDx4fAb79+/H1tYWCwsLVq1apSHrD3Dq1Cmsra1p3rw5W7ZsQfcjdd7Zs2ezevVqVq9erY6KlXybSONFosGAAQMYOHAgAwcOJPijkONMmTLh6elJ5cqVMTMz4++PfEn09fXZvn07JiYmtGnT5vOdeCtXFk9eOjpCu+X337XXMzISxsvjx/Drr+L/2tDREcaLr6+4MNaoIZakJRJJ2ti3Tzxg/POPeMjo3z/5iL7QUPH7zZYNTpwQRowWVEePigeQ4sXFb/gz85Xt378fCwsLmjRpwo4dO5I42F6+fBkzMzOqVauWRIQOwN3dndGjRzN+/Hi6faaDsOTrIY0XSRIWLFiAqakp9vb2/PXXXxplOXLkwN/fn/z582NqasqTj1YxMmXKhIeHBy1btsTa2prjx49/3iDKlhUOe+XLQ8uWqPbu1V6venU4cwYqVBD745s2Jd+mpSX8+aeoa2go9t7lNpJE8mkUBRYvBmNjYfyfPSuc4ZPDzU1IFjRoIB4YPkp8mED+CxfQNTeHmjXFlnHBgp81vOPHj2NpaUmTJk3w8vIiy0dKvvfv38fU1JRixYrh7++fJLXJqVOn6NKlC506dWLy5MmfNQbJ10UaL5Ik6Orq4ubmRtGiRbGxsSEiIkKjvECBAgQEBPDq1Svatm2bJN1D5syZ2bVrF7/++iuWlpb873//+7yB5M8PISHQqhW6bdpQ9Ngx7fUKFRJPeU5OQjNm4kTtkUggnu5CQoQy77hxYhvpxYvPG59E8l/g5Uvo0AEGDxZ+LkFByRsZigJz5gi9JUdHEUWYO7fWqqqAABpMmYLSsKGIKvrMpH0XLlzA3NycX3/9FS8vL7J+lIX6zZs3WFlZER8fT2BgIHnz5tUof/jwIW3atKFWrVqsXbs2iY+M5NtEGi8SreTKlQtvb28ePHiAvb09sR9F9ZQpUwYvLy9OnDhB//79k6jsJuRJKlasGCYmJtxNTh33U2TNCrt3o7RpQ925c1Ft3qy9nr4+rFkjxOlcXYW4VTI5tNDVFVEPfn5ie6pOHbEiI5FINPnjD/H7CAxUJ01MLosz0dHQoweMHCmcctev1x4yDbB1K7rt2vG4Zk3idu8Wv/PP4MaNG5iYmPDTTz/h6+ubxHCJi4ujU6dO/PXXX/j7+1O8ePGPhhyNra0tcXFx7Nq1K8lWkuTbRRovkmSpUKECnp6e7Nu3jyFDhiQpb9iwoVq5UluIdN68eQkKCkKlUmFiYsIzLeHPqUJfn7hNm7jdqhV6PXuKlALaUKlECPWOHULYyshIOP4mh4WF2HLKkQO9Jk0ooUXxWSL5T6IolN67F73GjYUz7tmzIg1Hcjx5IrZit22DzZvFlqxOMreXRYugc2cUR0dOjRr12YbLw4cPMTY2Jnv27AQFBZFbywrPhg0bCAwMZOfOndSoUSNJ+eDBgzl58iS7d++WIdHfGdJ4kaRIq1atWL58uTqR48c4OjoyduxYNm/ejLu7e5Ly4sWLExwcTHh4OK1btyYyMvLzBqKryx/9+xM3bJhYup42LfmtofbthWPh//4nHAavXUu+3bJl4fhxFFtbfl24EJ3Bg8UTpETyX+X1a3S7daPm8uXEOznB8ePwyy/J1798WTjjXrki/FY6d9ZeT1FExN+QIfDbb8StWYOS3CrOJ3jx4gUmJia8ffuWkJAQChcunKTOsmXL8PPzY9GiRZiZmSUpX716NStXrmT58uUYGBh81jgk/x7SeJF8kl69ejFs2DB11u+PmThxIi1atKB79+6EhoYmKa9YsSL+/v6cO3eODh06JNmCSjUqFfEzZggF3XHjRO6i5AyYhg1FlJJK9cFpMDmyZiVu7VrO9+uHzrp1IvLhc7e5JJLvmcuXoV49VN7enBk6lPhly+Aj51cNgoI+RBSdPCl+d9pISLA4dapQ4J0z57PzjkVGRmJpacndu3fZu3cvP2lxBvbz82P48OFYW1vTR0tG67CwMJydnenXrx89e/b8rHFI/l2k8SJJFbNnz8bc3Bx7e3suXryoUaZSqXB2dqZVq1a0adMmiQYMQP369dm1axeBgYH06NGD+M+N8lGphOGycKG4APbrpz0jNcDPP4unxipVhEhWcjmR3rd728SEuP37hWZM7dpSlVfy32LLFiEMp6ND7PHj3G3WLPm6iiK2by0soEmTFCOKiIoSDr9r1ghxyY9EMNNCgo/K+fPnCQgIoEqVKknqJDwkWVlZ0aVLlyTlly9fpl27drRq1YrFixd/9lgk/y7SeJGkioQIpDJlymBlZcWjR480yvX09Ni+fTtVqlTBzMyMa1q2akxNTdmyZQtbt26lT58+n2/AgIh8WL9eXBA7dxZpALSRLx/s3QsJOZGmTEkxPFqpW1f4wdStK0Kr+/UTSeIkkh+Vt2+hZ08RrWdvLzRZKlZMvn5MDDg7i+3bIUNEUtXkIoVevRK/I19fkfeoe/fPHmZ8fDxdu3YlNDSUPXv2UF+LbsydO3ewtLSkcuXKbNq0KYlIXXh4OObm5pQqVYqdO3fKZIvfMRlqvMyYMYO6deuSM2dOChUqhI2NDVevXk3xnI0bN6JSqTReH8fsS/4dcubMiZ+fH+/evaNNmza8e/dOozx79uz4+fmRL18+TExMePjwYZI2OnTowIYNG1i3bh0DBgxIEqWUJrp1++Cca2EBH4V0q8mcWTgRTp4sQqTbtEk5PLpgQRGJtGKF0I2pVUssiUskPxoXL4ptVTc38TCwYUPyarkAz5+L5Klr1ojXvHnJRx89eSJWPE+cENtLNjafPUxFURg4cCA7duxg27ZtWtVvHz16hJGREZkzZ8bHx4ds2bJplEdGRtK6dWuio6Px9/cn12eGZku+DTLUeDl48CDOzs78/vvvhISEEBMTg7GxMW8+8SSbK1cuHjx4oH7dvn07I4cpSQMlS5bE29ubs2fP0rNnzyTGR4ECBQgODubdu3eYmZnx8uXLJG04OTmxZs0aVqxYwdChQ7/MgLGzExfGkyeFvPidO9rrqVTCcPH1FcqgdevChQvJt6tSicSP589DnjxiL9/VNflEkBLJ90RsrMjM/uuv4v8nToiHgZT4+29h6Jw9K7SSUvIVuXNHbCfduiXSAjRv/tlDVRSFcePGsXz5clatWoWdnV2SOhEREZiamvLy5UtCQkIoUqSIRnl8fDydO3fm4sWL+Pr6UrJkyc8ej+TbIEONl6CgILp27UqVKlWoUaMGGzdu5M6dO1p9IhKjUqkoUqSI+qXNk1zy71GvXj02bdrEtm3bmDFjRpLy0qVLExwczK1bt2jTpg3RWqJ3evTowYoVK1i0aBFjx479sgG1bCl8W16/FlEPf/yRfF1LS5H9Nnt2UfejLNlJKF9e7Oe7uIiVmyZNQBrTku+ZmzfF99jFRWz7nDkDn0pA6Ocn9F5UKmHopGSM/PWXeJB49078dmrX/qLhTp48menTpzN79mx69eqVpDwqKgobGxtu3rxJcHAwP//8c5I6Y8eOZc+ePWzfvp1ff/31i8Yj+Tb4qht+CUqt+fLlS7He69evKV26NPHx8dSuXZvp06drdcxKICYmhpjkfB6+kIR2v9f2M6qPNm3aMG7cOMaNG6fOvJq4/QoVKrBr1y5MTU1xdnZOkr0VhAHz+vVrRowYQcGCBRk4cODnz+GXX+DwYXStrVE1b06ctzdKcuGPpUrBwYPo9u2Ljr09ca6uxAwblnL748ahMjREt3NnqF2buA0bULSEX6aE/C79++1/jT6+5TmoPD3R7dsX8uUjbv/+D7+Rj9pRtx8djc6cOeiMG4diaUnc+vVCMTeZflVnzqBrZQUFChAbGCgUrZOpm5o5LF26lMmTJzNlyhSGDBmSpK6iKPTs2ZPjx48TFBREpUqVkrS7Y8cOZs2axaxZszAzM0vXz+W//F1Ka/vpjUr5ojX71BMfH0/r1q158eIFR5JLoIfIUfH3339TvXp1IiIimDt3LocOHeLSpUuUKFFCo+7Lly/JnTs3bm5uSfY3JRlPfHw8U6dO5e+//2b+/PkU1CIZHhYWxpIlS+jZsyeWlpZa29m4cSPe3t4MHz6cxo0bf9GY9CIjqT9tGnmuXePkmDE8rlkz+cqKQvmdO6m0fTt3WrTgj/79idfXT7F9/VevqL1oEUVOn+avdu240rHjZ2tVSCRfC52oKKquX0+Z4GDuNWzIeWdnYlPybQF0oqOpuWwZJQ8e5KqdHVccHJIXngMK/vEH9WbM4GXp0vzu4kLMF/qUHDx4kAULFmBtbU3Xrl21yvZ7eHiwbds2hg4dSjMt0VG3b99m1KhR1K1bl2HDhknp/3+ByMhIOnbsSERERLr6GX0146Vfv34EBgZy5MiRJEZISsTExFCpUiUcHByYMmWKRlmC8fLgwQPy58+f3kNW9x8SEoKRkRH6n7ixfYvtZ3QfT58+pX79+mTOnJkTJ06QI0eOJHVGjRrFokWL8PHxwdjYOEl5fHw83bt3x9PTE19fX1q0aPFlc3j7Ft0OHVCFhRG3ZQtKmzYpVlft2IFur148/flnsgUGol+0aMrtx8ejM28eOhMmoDRuTNzmzfCpc9I6h8/ge/8ufY32v0Yf39wcLl9Gz9ERrl8nbsEClO7dP6mxEnvnDu/MzMjzzz9CTK59+xTrqzw80O3aFaVVK+K2b0/Z6TcVcwgKCqJt27Y4ODgkm2/Iw8MDR0dHxo8fz/jx45OUP378mLp165I3b16OHDmSJBljevCf+y59Bk+fPqVo0aLpbrx8lW2jAQMG4Ofnx6FDh9JkuADo6+tTq1YtraG3ietk1Af7tfr4XudQpEgR3N3dadq0KYMGDWLz5s1JLjRz5szhr7/+wtHRkd9//52KWsIwN2zYwJMnT7C1teXQoUPUTGbFJFVz0NcHLy9wckLPwUFoS3Ttmnz9zp2JLV2anK1bk6llS1T+/iLzdEqMHQuNG6Pq0AGdWrVg6VKhZZGKJzv5Xfr32/8affzrc1AUEUE0cCCUKQOnTqFXteqnGz19Gj1ra4iKIm7/fvRSyh4NsGyZ6MPREdX69eikcc4fz+HYsWO0b98ec3Nz1q9frzWc+cSJE/To0YOOHTsyefLkJNec+Ph4evXqRUREBGFhYeTJkydNY0orP/x36QvbzQgy1GFXURQGDBjAnj172LdvH2XKlElzG3FxcVy4cIGiqXiylfw7/PrrrwwYMICtW7cyZ86cJOUJGjElSpTA0tKSp1ryDWXKlAlPT0/Kly+PmZkZt27d+rJBZcok8qz07CmiKBYtSrG6YmDAodmzxXkNGgiZ80/RtKlI6GhsDB07isinj/RvJJJ/hZcvxXeyZ0/o1AlOnYLUGC7bt0OTJiglSnBwzhyUlJxbFUVkcB8wQDj+btokHhy+gAsXLmBhYUHdunXZsWOHVsPl1q1btG7dmtq1a7Nu3TqtqzJTp04lMDCQYcOGaXXglXz/ZKjx4uzszNatW3FzcyNnzpw8fPiQhw8f8vbtW3UdJycnxowZo/7b1dWVvXv3cuPGDc6ePUunTp24ffu2lHD+xmnWrBmjR49m9OjR+Pj4JCnPlSsXPj4+REREaNWIAaEj4+/vT/bs2TExMeHJkydfNihdXVi5Uih6DhkiQp1T2CWNLFyY2IQwamNjWLAgxfoAFCggLvg7d8LBg0LN19Pzy8YtkXwJ/v7iexgQIHSQVq8W8v0pER8voo/eG+FxoaFEpRRYERcH/fuL39TMmULvJQV/mNRw8+ZNTExMKF26ND4+PkkyRINwFbCysiJ79ux4eXlp1QDz9/dn0qRJTJgwQUYW/cBkqPGyYsUKIiIiaN68OUWLFlW/Eifwu3PnDg8ePFD//fz5c3r16kWlSpUwNzfn5cuXHDt2jMqVK2fkUCXpwKRJk7CxscHR0ZELWjRUypYti4+PD6dPn8bR0ZE4LbL+hQsXJjg4mBcvXmBhYcGrV6++bFAqFcyaBdOni6fEIUOSTycAIpLC318o+A4bJjLpJid+lxg7O7h0SazG2NmJLaSUMlpLJOnN48fg6CjkAKpUEauCn/BVAYQKbtu2MGOG+K1s2pRyPqMEuf/Vq8WW7KhRn52nKIHw8HCMjY3Jli1bshmiY2Njad++Pf/88w/+/v5aAwSuXr2Ko6MjVlZWGg/Fkh+PDN820vbqmsj/4MCBA2zcuFH994IFC7h9+zZRUVE8fPgQf39/atWqlZHDlKQTOjo6bNmyhV9++UVrCgEAAwMDdu7cibe3N4MGDdIqUPfzzz8TGBjIlStXMDc3/6So4SdRqWDMGFi+XPim2NiIC3Zy6OvD3LmwZw+EhQmdinPnPt1PoUJi1cXNTaQkqFJFSKdLJBmJoojVv8qVhWDjpk0QGAilS3/63L/+EgKM+/YJAceRI1M2RF6+BDMzofuyZ88Xyf0nEBERgZmZGa9fv2bv3r1JBOZA3EsGDx5MSEgInp6eVKpUKUmdJ0+eYGFhQbFixdi8eXOS1ACSHwv56UrSlezZs+Pj48O7d+9o27YtUVFRSepYWlqyatUqli9fzvTp07W2U7t2bYKDgzl//jxWVlZERkZ++eD69RMX6IMHhUjXP/+kXN/GRqiJ5s4tMueuXv3pbSSVSuRQunQJ6tUTbXTuDM+effn4JZKPuXsXWrcW2z0tW4qs0E5OqVsJ2bJFGObR0SIDu4VFyvXDw4U43dmzwjhv3fqLhx8dHU27du24ceMGwcHBlC1bVmu9RYsWsXz5cpYvX46hoWGS8qioKNq2bcvLly/x9/fXunIj+bGQxosk3SlZsiReXl6cPn2avn37al1d6dGjB1OmTGHcuHGsW7dOazsNGjQgMDCQEydOYGtrq1WpN82YmwvVz+fPhcLuJ9SeKVsWjh0TTr99+kCXLpAaQ6poUbHqsmmTMJiqVkUVEPDl45dIABSF0sHB6NWoIb7De/aAuzukRo38zRvxPXZyElucZ86IVZuUuHRJGPAPHoj0Gk2afPEUYmNjmTt3LqdOncLPz4/q1atrrZeg4zJy5Eh69+6dpFxRFHr16sXJkyfx8vL6rMAQyfeHNF4kGUKDBg1Yt24dGzduZNWqVVrruLi40LdvX/r27cuBAwe01mncuDF+fn4cOXKEhQsXflkm6gSqVRMS5yVLiifJT0UWZckikjRu2yYy4zZtCvfufboflUrcIC5dgpo10bOxofaCBSJhnUTyuTx6hG6bNtRcsQLF1lastqQ26eHNm2KbaNcusfKyYQNo0WbS4PBhIfefI4dIw5GMkZEWFEWhT58+nDlzhu3btycrTnno0CG6detG165dmTlzptY6ixcvZsuWLWzYsIGGDRt+8dgk3wfSeJFkGI6Ojjg7OzN48GCt+axUKhVLliyhWbNm2NracvPmTa3ttGjRgi1btvD7778zYsSIL0vkmECRImKf38AAzMxQaYmQSkLHjmLV5tEjEZF06lTq+ipeHPz9iV27lsJnzqBXvbowhL6OPqTkRyIgAKpVQ3XqFL+7uBC3apVIHJoawsJEfqLXr8U2UadOnzxF5e0tIu9q1YIjR+Cnn75o+AmMGjWKLVu2MHjwYMzNzbXWuX79Om3btqVx48asXr1aa0j00aNH+e233xg+fDgODg7pMjbJ94E0XiQZyrx586hevTp2dna8ePEiSbmenh7u7u7kyZMHa2trXr9+rbUda2trevbsyZIlS5g/f376DC57drGlY2WFbvv2lEyNtkvNmiKDdalSYgVm587U9aVSoTg5sW/pUpSWLcWNw9xcJnmUpI7790XkkIUF/PorsWfPEl63burOVRRYuBBMTITxkkrNl9LBwei2bw9WVsIBOJ3UUefOncucOXOYP38+TZs21VonIiICKysr8ubNi6enp1ahs/DwcOzs7DAwMNCaIFbyYyONF0mGkjlzZnbu3Mnz58/p1q2b1lWT/Pnz4+3tzc2bN3Fyckp2a8jc3JyRI0fy22+/sWPHjvQaIOzYgeLkRO1Fi9BZuvTT5xQpAgcOQLt24oYyZgzExqaqu6g8eYjbulUYTRcvioikRYtSDt+W/HeJjYXFi6FiRbG9uWWLCOVPjW8LwNu3Ql166FAR+h8QAJ9IjIuioDN1KjVXrCC+Tx8RyZQ58xdPBWDz5s2MGDECFxcXBgwYoLVOQkj0gwcP8PPz05rINzY2lg4dOqAoCu7u7hmuPiv59pDGiyTDKVOmDJs2bcLLy4sFCxZorVOlShXc3Nzw8vJi8uTJybY1ZcoUnJyccHJyYn9qVkpSg64ucStX8reNDbrDhsHkyZ/e0smSRdxIZs2COXOgWTO4cyf1fVpaCl+YhBtLo0bCmJFIEjh5UkSsDRki9FuuXhUrdqnVVLl798Pq4LZtMHu2EG5Miffic7qurlx2dCR+4cJPn5NK/P396d69O7169UqSpy4xw4YNIzQ0FA8PDyokk6bDxcWFw4cP4+7uLtXX/6NI40XyVWjdujUjRoxg1KhRHD16VGsdKysrpk2bhqurK57JqNSqVCrWrl1LixYtsLGx0SqG91moVFzu0oW4KVNg0iRxw/iUc7BKJXQxDh0SN4qaNdOm65Irl9CdOXxY6GfUqgUTJggRMMl/l+fPRVh/Qk6h48eFw3jevKlv4+BBsUX06JHw0+rY8dPnvHsH9vawejWxq1bxt53dF4vPJXD06FHs7OywsrJi+fLlyWZ3XrFiBUuWLGHp0qVaQ6IB9uzZw+zZs5k1a1ay206SHx9pvEi+GtOmTcPAwABbW1vuJROtM3r0aDp06ECXLl04f/681jr6+vp4enry888/Y2pqyp20rHikhEpF/KhR4kaxZInYFkrGB0eDhg2FiF2zZiLqY9CgtBkgjRqJ88eOFVLrNWsKHQ3JfwtFga1bxRbRtm3CT+XkSRHSn1piYoTMf4sWUKmS8G+pXfvT5714IXxiAgJgzx6Ubt0+dxZJuHjxIpaWltSrV4/t27drzVcEEBoaysCBAxk4cCB9+/bVWuevv/6iS5cutGvXjmHDhqXbGCXfH9J4kXw19PX18fDwQF9fHxsbG40cVwmoVCrWrVtHxYoVad26Nffv39faVs6cOQkICCBTpkyYmZnx/Pnz9Bto377g4wOhoSJENDXGUb58sHu3MHpWrRJRTH//nfo+M2cW21Vnz4p8SSYmYGSUOmVfyffPlSvQqpUQNGzeXPw9aBAkc6PXSoJa7uzZIh1GaKhQff4U9++L7aULF8Q56SA+l8Dt27fV+Yq8vb215iICIetvZ2eHoaFhsg75b968oV27dhQrVoz169cnu3oj+W8gjRfJV6Vw4cJ4e3tz6dIlevbsqdWBN1u2bHh7e6Moijq/lTaKFClCUFAQ4eHhmJiYEJGaHESpxdJSiNNFRAi/g+PHP32OSiUy7P7+u1ixqV1bPEGnhapVxTaUl5dQAK5dW/g5fGmWbcm3ycOHIo9W9erCSA4OFmJzxYqlvg1FgbVrxbZjRIT4ro4enTpflQsXhMHz/LkIhW7U6PPn8hGPHz/G2NiYLFmyJJuvCODZs2dYWlqq895pW5lRFIW+ffty48YNdu3aRa50inySfL9I40Xy1alVqxYbN27Ezc2N2bNna61TokQJAgMDuXXrFm3btk1WXbdChQqEhITw999/Y25u/uWJHBOTIGb3yy9iGT61hkitWkK11MZGGB7duwtV09SiUoG1tXDgXbVK6HNUqADDh8s0Az8KT5+KhIZlywoV5kmTxOdtbJz2dtq1g169hFPv2bPC1yU17NolVgjz5BGGejomv3316hXm5ua8ePEi2XxF8CFq6Pnz5/j6+iZr4CxbtoytW7eydu1aqlSpkm7jlHy/SONF8q9gb2/PuHHjGDNmDHuT8e+oWrUq3t7eHD58mP79+ycrTlerVi2Cg4O5cOEC1tbWWvMpfTaFCgnjoUMHYYhMnZo6cbmcOWHzZqFg6u4u/BauX09b33p60Ls3XLsG48aJ3Eo//yx8cmRo9fdJdLRI+lm2LCxbJsKXb94U/k4pZXLWQt6rV9GrU0c45+7eLb4fn1LLBfH9nT5dZEy3tBQOvSVLfuaEkhIXF0f79u25evUqQUFB/Pzzz8nWXb9+PUePHmX37t3J1jt48CBDhgxh8ODBUohOoiZDjZcZM2ZQt25dcubMSaFChbCxseHq1aufPM/Dw4OKFSuSJUsWqlWrRoDMCfNDMnnyZIyNjencuTMPHjzQWqdZs2asXbuWzZs34+/vn2xb9erVw8/Pj6NHj9KjR4/0UeFNIHNmYYS4usL48eKGk5o0BSqVCIU+dQqiotAzMKDYkSNp7z97dtHv9eviKbt/f2EMnTyZ9rYk/w6KIiLRqlQRWzqdOwujZerUtEURvW9LZ9UqGru4oJQqBX/+CW3apO7cuDixteniIlZ7tm8X3690QlEUBg0axN69e9m1axe1atVKtu7GjRsJCAhIUawuPDycDh060KRJE+bOnZtu45R8/2So8XLw4EGcnZ35/fffCQkJISYmBmNjY96ksIR+7NgxHBwc6NGjB+fOncPGxgYbGxsuSg2MHw4dHR116vpOnToRl8xqQufOnRk8eDDr16/n4MGDybbXtGlTNm/ezLZt23BxcUnfwapUwoBYvlyIynXtKiI7UkPlynDyJEqrVtSdOxfdHj3gc7a3ChUSvg3HjwvjqUEDMY60ruhIvi4XLgjnaxsbseLyxx8iRL5gwbS39fYtdOuG7sCB3DI2Ji4kRKSfSO25trZiK3LNGpg4Md1CoROYOnUqy5cvZ+XKlRgZGSVb7+jRozg7O2NkZKQ12SKIFZyOHTuiKEqKUUqS/yjKV+TRo0cKoBw8eDDZOvb29oqFhYXGsfr16yt9+vRJUjciIkIBlCdPnqT7WBOIjo5WvLy8lOjo6O+y/a/Rx5e2HxYWpqhUKmXKlCnJ1omMjFSqVaumFChQQLl9+3aK7c2ZM0cBlJUrV6Z6DGmaw/btiqKnpyhWVooSGZn6PqKilDODBinxOXIoStmyinLsWKrPTUJsrKIsW6YoRYooiq6uonTpokRfvvyf/y59C32o2793T1H69lUUHR1FKV9eUfz8FCU+/vMbvnBBUWrUUJSsWZWYDRvSNoenTxWlYUNFyZpVUXx9Uz+HNLxHq1evVoAUf8eKoii3b99WChUqpDRp0kTx8PBIto+JEycqOjo6yr59+1I9hsT8UN+l73gOT548UQAlIiIiXdv9qqZsQjSINrnnBI4fP54kft/ExAQvL69kz4mJiSEmtU/BaSSh3e+1/a/Rx5e236RJE8aMGcPEiRNp1KiR1gyziqIwYsQIxo0bh7W1NQcOHCBbtmxa2xs0aBA3b96kf//+FC5cGAsLi/SdQ7t2qHLkQLd9exRjY+L27IFkHA01+oiN5Z+WLanUqxeZe/ZE1aQJ8WPHEj9mTNpCYhPo1Qs6dUJn7Vp05s5Fb8sWajdtSuxPP6Wr82VivvXv0rfQR+z161Rbswa9jh1RMmUifvZs4vv2hUyZUp1GQoO4OHQWLEBn0iT4+WdiDx0ipnJleL+a/Ulu30bP0hKePiUuJASlXr1Prhqm9T3y8fGhb9++9OvXj5EjRyZ73ps3b7CysiJbtmxs2bKF8+fPa60bGhqKq6srEydOpHHjxp/1Wf0I36UfaQ7pjUpRvk5q2/j4eFq3bs2LFy84ksK+f6ZMmdi0aZOGY9by5cuZPHky4eHhGnVfvnxJ7ty5cXNzS/ZGJvk+iIuLY8KECTx8+JAFCxYkGwp548YNRo8ejYGBAUOGDElW6yEuLo7Zs2dz/vx5pk6dSrly5dJ9zHmvXKHBlClE5c3LibFjeZOG8FZVXBzld+6kgocHz8uV48zQoUQmE5GRGnSioigdEkK53bvJ8uIFd5s04S87O16XKPHZbUrSRs5btyi3Zw/FDx8mNnt2bpibc8PCgpgvCOvNfv8+tRctIu9ff3HNxoYrDg7EZ8qU6vNz3bpFA1dX4vX1OT5hAm9Su8WUBi5fvsykSZOoU6cOw4cPRzeZEO34+HjmzJnDuXPnmDlzJj8lk6H66dOnDBs2jLJlyzJ+/Hh0dGRcyfdMZGQkHTt2JCIiIl1D3L+a8dKvXz8CAwM5cuQIJVK4oH6O8fLgwQPy58+fIeOOiYkhJCQEIyOjDEn+ldHtf40+0qv9e/fuUadOHerXr8+ePXs0DJPEfezevZvOnTszZ84cBg8enGx7kZGRmJiYcPPmTQ4dOkTZsmXTfw5Xr6LXti08fkycmxtKMpLmyfWhOn4c3a5d4ckT4hYuRElL7hot7Yf5+2Ny9y768+fDvXso9vbEjR0r1FbTge/lu/TV+lAUVEeOoDN3LjqBgSilShEzcCB7S5akpZXV57cfH4/OihXojB0LxYsTt3YtSsOGaZqDav9+dO3sxGqNt7dIKJpKUvseXbx4kZYtW1KjRg18fX2TFaEDcHV1ZerUqXh4eGBtba21j9jYWIyNjbl58yYnT56k4Of4BaVxDl+C/D18mqdPn1K0aNF0N16+yrbRgAED8PPz49ChQykaLiCExz42UsLDw5PVCQCh3JrRWUUzug85B/jpp5/YtGkTlpaWLF26VKv8t76+Pp06deLPP/9k1KhR1KxZM9kcKLlz58bX15eGDRtibW3N0aNHP2nkpnkOVauKqB8HB7E0P3euyIuUggGi0UfTpnD+PAwciF6PHiItQFrz2CQiPlMmVAMGoOrfH9avRzVjBjo1a4KdHTg7Q5Mm6eKk+a1/lzK8j/h4ocI8a5YQJaxaFTZvRtWhAyogLiDg89u/fVtoA+3bJyKDZs5EL5mIoGT72LpVtNGiBXh6op8zZ9rHkVL7wJ07d7CyslKr5+ZMoQ8PDw+mTp3K1KlTsbW1TbaPCRMmcPz4cQ4cOECxtAj1feYc0ov//O/hE+1mBBm6HqcoCgMGDGDPnj3s27ePMmXKfPIcAwMDwsLCNI6FhIRgYGCQUcOUfENYWFgwfPhwRo8ezckUQoFnzJiBoaEh7du35+bNm8nWK1iwIIGBgTx9+hRra2vevXuX/oPOkwf8/EQI9bBh4qaRFq2ZXLmEUNmOHRAUBDVqiBwzX0LmzCK5399/C2PozBmRe6lCBXHDffjwy9r/r/L6NaxfL0Ke27QBfX3x2f/5pwh//pILtaKItqtVE59baKhIN5GWUOboaJFWoHNnIVrn6ys0h9KZp0+fYmpqir6+PoGBgcmKywGcO3eOLl260KFDB8aOHZtsPX9/f2bOnMmMGTO0+r1JJInJUOPF2dmZrVu34ubmRs6cOXn48CEPHz7UyGnj5OTEmDFj1H8PHjyYoKAg5s2bx5UrV5g0aRKnT59mwIABGTlUyTfE9OnTqVWrFu3bt+fp06da6+jq6rJ9+3by5MmDjY1NiuH3v/zyC35+fpw9exZHR0diP8dp8lPo6sKcOUKYbvt2kZ8mGe2aZGnfXtwEK1QACwsRWvulaQEyZ4Y+fUTem/37RaqDSZOgRAlx8/X3/zwn0v8SsbHCqOzUCQoXhh49oHx5Ie526JD4rL50Nev+fSEY16OHWCW7cEHkOkoLDx5Ay5awcqUI6V+/XjgJpzORkZFYWlry+PFjgoODKVq0aLJ1w8PDsba2pnLlyqxbty5ZH7Xbt2/TuXNnrKysGD58eLqPWfLjkaHGy4oVK4iIiKB58+YULVpU/XJ3d1fXuXPnjoZAWcOGDXFzc2P16tXUqFEDT09PvLy8qFq1akYOVfINkSlTJtzd3Xn16hUODg7J6r/ky5cPLy8vrl+/TseOHYlPQTiufv367Ny5Ex8fH7p06ZJi3S+ic2dxQ7t9W8i0nz2btvNLlRJbR+7uQtyucmWRafpLDQwdHWFQbd0qbpSLFgnDyNISSpeGCRPEcckHLl+GoUOFjoqZmVi9cnER4nLe3iIn0JeSsNpStar4rvj6wrp1qYpe0+D330UerJs3heJuv37pruECH9RzL1y4gL+/P+XLl0+2bnR0NG3btiUmJgZvb+9kgypiYmLo0KEDuXLlYuPGjdJBV5IqMnzbSNura9eu6joHDhxg48aNGufZ2dlx9epVoqKiuHjxIubm5hk5TMk3yE8//cSOHTsIDQ1NNv8RQLVq1XB3d8fX1xdXV9cU27S0tGT79u1s3749xeXrL6ZePTh9WiTXa95crHikBZUK7O1FZuH+/cUNs1Ej+N//0md8efMK/5dz58QN2doaFiwQRkynTiIdQgaGZn7TvHsnDLwmTcTW0LZt0LGjeJ8uXxYy/slEyaSZa9fE6kqPHsKIvHhR/JtWvLyEb8vPP4txZuAW+9ixYwkICMDDw4N69eqlWNfFxYVTp06xZ88eiqcQ5TRr1ixOnTqFu7t7ijIaEklipIkr+WYxNDRk1KhRTJgwgVOnTiVbz8LCgsmTJzN58uQUUwgA2NraMn/+fGbNmsWqVavSe8gfKFZMGC0NGoCpqcg9k1Zy5hQOwEePimzBtWrBvHnpm9eodm2xxXD3rtj2On4cDA1FZErXrmKFIdE27w9JfLxY5Ro2TKyydO4stlvc3cX7smCBeJ/SayUjNlb4HVWrJla/9u4V242fETGps3w5tG0LVlbCR+YLwu0/xfbt25k9ezazZ8/GzMwsxbqBgYHMnTuXmTNn0qBBg2Tr3bhxg+nTpzNmzBjq16+f3kOW/MBI40XyTePq6kqtWrVwcnLS8JX6GBcXF6ysrOjUqRPXPyGXP3jwYAYOHIizszOBgYHpPeQP5MghtgHatAE7O3TWrPm8dho0EKsk/fvDiBHC8fbvv9N3rLlziyipa9fEjbxvXxFFZWMDBQqInEpbt8Lz5+nb779EphcvUG3b9sGPpV492LJFOFtfvSpWn+zt099n5OxZ0dfYsWL1KyF1QFqJj6fyxo3oDhkitrZ27EhzYse0cPjwYbp160anTp20RgEm5v79+3Tp0gVzc3OGDBmSbL13796xaNEiKleuzPjx49N5xJIfHWm8SL5p9PX1cXNz4+HDh6xevTrZegl5kgoUKEDbtm2JjIxMtq5KpWLBggWYm5tjb2/P+fPnM2Dk78mcGdzcoH9/dJ2dqbZ6tYgISStZs8L8+cKf4cEDEZG0ZEnqEkSmBZVK+OpMmya2Sa5cETmd7t6Fzp3RK14cg4kT0Vm5Eu7cSV2G7W+B2FixgjV+PLoNGmDWtSt63bqJrbjeveHwYeHzM2eOcMZNbyIjheFZt65YOTtxQqyqfU5SxKgodJ2c+MXbm7h588RqXAb6iVy6dInWrVvTqFEj1q5dm6zTrRhaFO3atSNTpkyf9F8ZOXIk9+/fZ/369WTKAMdiyY+NNF4k3zy//PILixYtYv/+/RrO3h+TJ08e9uzZw7Vr1+jVq1eKmaUTopUqVKiAhYUFd+/ezYihC3R0YPFi4pYu5ae9e9E1Mfn8UOUmTURiv27dREhs06YZm126QgWRBfnECbh7l/j58wHQGTZM+MgUKSKcWV1cYNcusQ3yLRg0T54Ig2TFChG9U6AANG4s/i5XjjODBxPzzz/CR2TaNFGWUToaYWFii2jJEpFF+vRpYSB+Ds+fg4kJKh8fTo0YQfzAgek71o+4e/cupqamlCpVit27d5M5c+Zk6yqKgrOzM+fOnWPPnj0pCszt3r2blStX0r17d6pXr54RQ5f84EjjRfJd0LlzZxo3bsyAAQO4lUL4cNWqVVm3bh1ubm4sWbIkxTazZ8+Or68venp6WFtbp7ha88WoVMT37s2RqVNRXb8Ov/4qIkQ+hxw5YNkyIWL28iXUrw8ODl8eVv0pihcnvm9fjk+eTOy9e8JRtG9fESa+YYPIWFymjPDdMDSEUaOE38hff8GbN+lv1CiKWC1J0EPp109sqRUqJDI2N20KAweKVaNhw4QBFh5O3JYt3G3RQmwXZSTPnoltKENDKFlShMGPGfP5RtL//icinC5cIC44mAfpEe2UAq9fv8bKygodHZ1ParmAiC5dt24dq1evpm7dusnWu337Nj169KBNmzaYmpqm97Al/xFkjnHJd4FKpaJv376MHTuWTp06ceDAAfSSSWbYoUMHTpw4wfDhw6ldu3aKgldFixYlICCAhg0bMmfOHKytrTNUyfJ5xYrEnjiBvoODuLkuXSq2LT6HFi2EL8ymTTBuHHpVq1LZ3Fzc4L5AVj1V5M0ropSsrT8ce/BA+HQkvLZvh8SRYlmyCMOmQIEPr8R/58+PSqWi5PHj6Ny+LSJ/3rwRr8jID/9/80YYBleuCOMNxPZchQoiDUKrViLEvFIlKFcuqd9KRoXJJ/DmDeV27RLbUvHxsHq1iCj6kq2dbdvE96RMGTh+HKVMmS8XMkyBd+/eMWPGDO7fv8/Ro0c/qXZ76NAhBg8ezODBg3Fyckq2XkxMDA4ODuTOnZuVK1dy/Pjx9B665D+CNF4k3w05cuRg06ZNtGrViunTpzNhwoRk686ePZuzZ89iZ2fH2bNnUxTSqlKlCjt37sTCwoJBgwaxZs2aFPf1v5iiRUUk0pAhQkDu9GmxcpDCknyy6OqKp3t7e+Jnz6bM7NnoVqwIEyeKVZGv6UtQtKgQbEucxfvxY7HiEB4utnKePIGnT8W/jx+L1YSnT8X/o6PRA2oDir6+8AdJ7lW0qIiyqVRJGCplyoj34t8kKgpWrUJv+nQqPn1KfM+e/2fvrMOizL4H/hnCwFbszsXudu0ubBEVdBU7ABO7EwEVG8VEsVCMVbFb10DXXNtdRWwQFBiY+f1xv/hbV2KS0Pt5nnmU4d5zzp33ZebMvScwnTJF2KorEREwcqRwgHr3FsdeGTIYNZVdpVLRt29fHjx4wJEjRyidSF+s58+f06VLF+rXr4+rq2uCY6dOncrly5c5c+YM2XRsgSGRgHReJKmMunXrMnnyZKZPn06TJk2oW7dunOPMzc3x9fWlatWqdO3alePHjycYFNi4cWOGDBnC0qVLKVmyJOPGjTPWEgRp0ogU5WrVxHHHzZsiZkTXrr8ZM6KaPJljRYvS/OxZFE5OwiFasEBkDBnTGUuInDk1qxSrVkN4OMovX/j99GlatW9v9F4uBiM6Wux+zZgB//yDulcvjtatS6O+fTHVZw2PHol4nTt3YM0asXtj5OuoVqtxcnLCz8+PsWPHUieRo6nPnz/ToUMHMmTIgK+vb7y7oSDavMybN485c+ZQu3ZtlD9rLSGJQZAxL5JUx6RJk6hVqxY9e/YkJCQk3nF58uRhx44dXL58mdGjRycqt0mTJkycOJHx48cnGBhsUH77TQSWvngh4mDOnNFLXGT27MSsXCmaPRYvLnYnjB3UawgUChHLkzUr6gQ+AFMUKpWI6SlbFvr3F7FHt28T4+XFF33jafz8xP0QGipio/r3TxIH1NXVlSVLlrBkyZIE67OAcHQcHBy4f/8+e/bswdLSMt6xwcHB9O7dm6ZNmzJ27FhDmy35CZHOiyTVYWZmxpYtW/jw4UOiNSfq1KmDu7s7S5cuxc/PL1HZU6ZMoVevXtjb2yfYGNKg1Kghsl6srMQuxbZt+sssX1704zl0SBS4q1lT7MBo265AEjfXrokMJRsbEVdz7Rps3y6uoT6o1SIjqVMnEeh79SpUqmQQkxPD39+fsWPHMnHiRAZoEIe1atUqfHx8WLduHRUrVox3XKyTo1ar2bRpkyz/LzEI8i6SpEqKFCnCggULWLduHSdPnkxw7JAhQ2jfvj0DBgwgODg4wbEKhYI1a9ZQpUoV2rdvz/Pnzw1odQLkygUBAaI5Y48e4gjCEIGlLVqIoN716+H2bfFtvn17EWcj0Z5nz0QsUbVq8OmTiF3av19UP9YXpVIcDU2eDNOnw44d2vc40pG//vqL3r1707FjR2bOnJno+Lt37+Ls7MzgwYPp3r17gmO3b9/Ovn37WLlyJbmNneEl+WmQzosk1eLg4EDdunUZOHAgERER8Y6LdUgUCgX9+vVLtCljunTp2LNnD+nTp6dt27aExma0GBtzcxE7MXWq6Pzcpo0IZtUXU1OwtxfBsZs2iQqy1asL+Sn9OCmlcP069OwpjuK2bwcPD/Fcw4aGkf/xo6iXs3mzuEZTpiRZnFJYWBgdO3Ykb968rF+/PtFg9cjISGxtbSlcuHCiAbpv375l+PDhdOnShY4dOxrSbMlPjnReJKkWExMTVq9ezZMnT5g2bVqCY3PlysX69es5cOAACxcuTFR2rly5OHDgAM+ePcPGxoZofbs6a4qJiXBcfv9dlOmvXFnUJzEEZmaiHP6dOyL19vFjcZzUqpXuNWd+ZNRqOHxYHN9UqQLnz4s+R8+fiwKBhorNefRIHEFduyZ233r1MoxcDVCr1fTv35/nz5/j5+dH5syZE50zefJkbt++jY+PT7ydomNxcnIiOjo60ZpLEom2GNV5OX36NO3atSNfvnwoFAr27NmT4PiTJ0+iUCi+e7zStRqp5IenTJkyzJgxgwULFnD27NkEx7Zu3RoXFxcmTpzI6dOnNZK9c+dOjhw5gpOTk6FM1ozY4578+UVVXU9PwxV5MzUVnZJv3RK1WJ4/F52ImzcXJfR/dqKiRKPEihVFU82PH0Uc0oMHouhdxoyG07Vli3BQIyNFU8wGDQwnWwOmT5+Or68v3t7eiaZEAxw7doyFCxcye/ZsKidyVHbw4EE2b96Mu7s7eYzYMFLyc2JU5yU8PJyKFSuybNkyrebdv3+foKCgr49cuXIZyULJj8CYMWOoU6cOdnZ2fPr0KcGxM2bMoF69enTv3l0jp7hZs2YsX74cT0/PpP/2WLCg6GU0ZIj40LS1hbAww8k3NRUBp3/+KY5CgoLEDkCNGrBkiajN8jMRGir6DRUrJo7ZChQQVYz/+EPEIhkyCyosTOjo1UsU+rt2TRTZS0LWrl3L9OnTmTNnDl26dEl0/Pv377G3t6dx48aMGjUqwbGhoaEMGjSI5s2bJ1i0TiLRFaM6L61atWLWrFlan3XmypWLPHnyfH3I6HRJQpiamrJhwwZev36daPaRmZkZ2/6XzWNra0tMTEyi8gcMGMCoUaNwdHTkwIEDBrFZY9KkEfEVvr4iMLR6dXHsY0hMTEQ9kRs3RMn/fPlg9Gix69O6tWgsGR5uWJ0phagocTQ0cKBwFidMEF2e//xTVLBt1MjwsSfXroljqN27xQ7Ppk2QKZNhdSTCoUOHGDhwIIMGDWL8+PGJjo89Xvr8+TMbNmxI9D3ZxcWF9+/fs2rVKuMWfJT8tKRIr6BSpUrkzZuXZs2acU5uY0s0oHjx4ri7u+Pl5cW+ffsSHJsnTx62bt3KqVOnmDp1qkby58+fT7t27bCxseHGjRuGMFk7unUTOwCmpsKB8fExvA4TE7ELsGeP2IXx9BS7ET17ij5AdnYojhxBoYHDl6L5/Jm8Fy9i2qePyPJq2VL0Rxo6FJ48EX2aypUzvF6VSsTM1KoFmTMLJ6Z3b8PrSYTYytOtWrVi6dKlGjkXCxcuxM/Pj3Xr1lGgQIEEx54+fZrly5czd+5cihQpYiCrJZJvSVHVoPLmzcvKlSupVq0akZGReHl50bBhQy5dukSVKlXinadUKo1WrTFWbmqVnxQ6Usoa7O3t2bNnD/379+f69esJdrWtW7cu06dPZ/LkydSsWZMm/6sCm5D89evX06hRI9q2bcu5c+cSbDmg6xoSpHhxOHsW06FDMenZk5jTp1G5un5tK2DQ65A5s0jb7dcPHj/GZNs2THx8MNu0ieZZs0LPnkR37466ShWDtiAw2r308SOKgwcx2bMHs8OHqfHlC6oyZYgZNgxVhw5QocL/77DoqTvONbx+jWn//pgcOkSMkxOqmTPF66ajLl1fp6dPn9KmTRusrKzYtGkTarU6Thn/ln/8+HFcXFwYO3Ysbdq0SVDnx48fvzZRdXBwSHDsz/K+lJLlJ4UOY8lVqNVJ079eoVDg5+dHhw4dtJrXoEEDChUqxKZNm777XWhoKFmyZNEo6l3yc/DhwwdGjBhB2bJlGTduXILfKlUqFXPmzOH+/fu4ubkl6OzE8u7dO8aOHUvWrFmZPXs26dKlM6T5mqFWU/jIEcqvWUNYgQIEDh3Kx5Ilk0Rv1kePKHDyJPnPniXdx4/EpEnDx+LFef/LL3ywsuL9L78QmQJ61ph9+UKmZ8/I+ugRua9eJefNm5hER/OhZEle1q5NUM2ahOvaikFLct64QRUPDxQqFddGjOB11apJove/fPr0CRcXF5RKJfPnzydr1qyJznnz5g2jRo2iaNGiTJkyBdNE+kctWrSIq1ev4uHhIWMVJYBoIWFra0tISIhG2WyakqJ2XuKiRo0aiWaRNGrUiBw5chhFv1KpJCAggGbNmhml14qx5SeFjpS2BgsLC7p3705ISAi2trYJjq1Tpw41a9ZkzZo1jBs3jpYtWyYqv1y5cjRu3Jjt27ezdetWjc/0Dfo6tWmDqk8fMg8cSP2xY1E5ORE5eTIBp04Z/zqUKEHeLVuI/vNPFBcvku3iRbJfvIjif9mE6iJFUNevj6phQ9SNGmnVr0mn1+jLFxQ3bqC4fFk8rl1D8fChsMXMDHXduqhdXVG2b0/GAgUoqlTyMCn+Hpo0Ie38+ZjMno26SRNi1q2jmoGybrR9naKjo2nZsiVfvnzh1KlTlCpVKlH5v//+O6tWrSJbtmz8/vvvCZb/B/D19eXMmTNs3LgRGxsbg69BW1La+1JKlJ8UOt4ZolZVHKR45yUwMDDR7Xlzc3OjN3Eztg65BsPp6NatG7t372bcuHF06NCBLAlUKc2dOzdbt26lXr167N27l3bt2iUqv0aNGmzcuJHOnTuzdu1aBg8ebPA1aESNGiIOxs0N00mTSHf6NBb9+iXNdUifHrO6deHfjTH/+QcuXEBx7hyKEycw2bhRPF+ihCihny9f3I9cub7L5Pm6BpVKVLINDRWPkBDxb1CQqBJ86ZIINI6OFsdnVaqI4nuVKkHFiijKlEHxv2O1/+4ZGPN1ShMSQrqePTHx94dZs1C4uBgl8UDTNUyaNIlz585x8uRJypYtq5HsXbt2cf36dc6fP5/oe/CHDx8YNWoUXbp0obeWcTw/y/tSSpZvTB3GstuozktYWBgP//cNCODJkycEBgaSPXt2ChUqhIuLCy9evGDj/97kPDw8KFq0KGXLliUiIgIvLy+OHz/OkSNHjGmm5AfE1dUVKysrpk6dioeHR4Jja9euzciRI/H09GTMmDGU0yBYs1OnTgwdOhQnJyfq1KmTYG8Xo2JmBmPHQuPGKGxsaOjsjMLCApIjPbVAAZG11LWr+PnNGzh5UjSb/PtvkcFz+LBwPP4d9GtiIhyYfPkwNTen0cuXmA0bJhyVhFLfrayEA/fbb6LYXvnyBo2/0RXFvn00GjEChZmZCH62tk5We/z9/VmwYAGurq7Uq1dPoznXr19n+/btjBs3jho1aiQ6fuLEiXz58iXRvzWJxFAY1Xm5cuUKjRo1+vpzbBqrvb0969evJygo6JveMVFRUYwaNYoXL15gYWFBhQoVOHr06DcyJBJNKFCgAFOmTGHChAn069eP8uXLJzh+2rRp+Pr6MmDAAM6cOZPo2T4IB+ncuXN06NCBy5cvaxQzYzSqVSP60iVede5MQXt70XNn6VLDFlTTlpw5v3VmYomJgbdv4eXL7x8REbzJmZMMFStimi2bCBzOkkX8++//Z8uWvGuLi9BQcHTEzNubt9WqkWP3bswLFkxWk548eYK9vT3W1taJlhGIJTIykr59+1KoUCEmTJiQ6PjLly+zcuVK3N3dyZ9EcUQSiVGdl4YNG5JQPPD69eu/+Xns2LGyXbrEYDg6OuLt7c3QoUM5depUgrEp6dOnZ+jQoUyaNImlS5fi6OiYqPzYHkjVq1enS5cuBAQEkCY5v/lnzsw1R0fy9u6N2ciRopy9r2+SdSXWGFNTkXqdO/d3DQ1jlEpuHTxIodatMTXyNrlBOXEC+vaF9++JXr2aSzlz0jqZq8pGRkbSrVs3smXLplHPolimTp3KgwcPWLhwYaL3c0xMDIMHD6ZixYoMHTrUEGZLJBqRIuu8SCSGIE2aNCxdupQzZ87go0FdlLJlyzJkyBAmTJjwzXFnQhQuXBg/Pz8uXrzIkCFDEnTWkwSFArWdnaghkiGDOE5ZssRwrQUk3/LlCzg5QePGUKQI3LyJuk+fJGuqmBCjRo3i5s2b7NixQ6PMIoDz58+zcOFCpk6dqlGNluXLl3P9+nVWrlyJmSErEEskiSCdF8kPTdOmTenSpQujR4/WqDv0rFmzyJMnj0bdp2OpW7cuq1evZu3atSnnzL9UKdErZ/BgGDkS2rcXPYwkhuOPP0SA8IoVovjc8ePCgUkB+Pj4sGzZMjw8PKiqYWp2eHg49vb21KhRQ6MjppcvXzJx4kQGDBhAzZo19TVZItEK6bxIfnjc3NwIDQ1l+vTpiY7NkCEDa9eu5fTp07i6umqsw97enjFjxjB69Gh+//13fcw1HGnTitYC+/aJzJxffoEpU37cUv9JhVIJU6eKZpYZM4oGmo6OIvA4BXDu3Dl+++03evfuzaBBgzSeF5tAsWHDBo12UZydnUmXLh1z587Vx1yJRCdSxl+bRGJEChYsyKRJk1i8eDG3b99OdHyjRo0YN24cEydO5OLFixrrmTt3Lq1bt8bGxoY7hu4/pA9t28Jff4GzMyxYIJyYzZtFGrJEO06dEuX9Z8+GyZNFXJEG3ZiTiocPH2Jtbf21dpGmcS7Hjx9n6dKlzJs3L9EaMAABAQH4+vqyaNEisqWAooSSnw/pvEh+CpydnSlWrBhDhgzR6Dho5syZVKtWjR49evDx40eNdJiamuLj40OhQoVo164db9++1dNqA5Ipk/jAvXtX7Bj07g116oAWztlPzbVrogdSw4bi54sXxe5LCgoqfvfuHa1bt8bS0hI/Pz/S/q++TWKEhobSt29fGjZsyLBhwxIdHxERwZAhQ2jYsCG9evXS12yJRCek8yL5KUibNi0rV67k9OnTrFy5MtHx5ubmbN26lQ8fPuDg4KBxIG6mTJnYt28foaGhdOnSxag9SXSiaFHYsUPUX4mMFI5Mr17w6lVyW5YyefxYNMWsWhWePhWv3ZUrUK1aclv2DZGRkXTs2JEPHz5w4MABsmfPrvFcZ2dn3r9/j7e3t0aF9ObPn8+zZ89Yvny57BgtSTak8yL5aWjcuDEDBgxgwoQJGu2KFClShDVr1rBz50527typsZ4iRYqwe/duzp07x4wZM/Qx2Xg0aCA+hL28ICAAypYVadUSgVIJ8+aJ1+X8efE63boFXbqkiEyi/zJ+/HguXbqEv78/xYsX13jeyZMnWbt2La6urhplFwUFBTF//nycnZ0pnYKOyyQ/H9J5kfxUzJo1C7VazcyZMzUa37VrV6ytrRk5cqRG2Uqx/Prrr0ydOpU5c+Zw/vx5Xc01Lqamomv07dvQpAnY2ED37hAcnNyWJS8XLogsookTYehQuHdPvE4pNBX4wIEDeHh4sHDhQmrXrq3xvC9fvuDg4PC1A7QmzJ07l7Rp0zJ+/HhdzZVIDIJ0XiQ/FTlz5mTChAksX76cBw8eaDRn6dKlhIaGMmnSJK10jR8/npo1a9KrVy8+JVTmPrmxtITt22HbNjh6VBwtjRr18x0lffwoUsvr1oV06cTOlKtryqvk+y9evnxJnz59aNu2LcOHD9dq7owZM3j+/Dlr1qzR6Ljo+fPnrFq1ijFjxmhcN0YiMRbSeZH8dIwYMYJ8+fIxbtw4jcYXLFiQGTNm4OnpyZUrVzTWY2ZmxqZNm3jz5g0jR47U1dyko3t3ePAARo8WxyRFi4oU4Jcvk9sy4/L5M6xaJbKGNm+GxYtFQO5/qv+mNGJiYujbty/m5uZ4e3trFX8SGBjIwoULmTx5MlZWVhrNmTFjBlmyZGHEiBG6miyRGAzpvEh+OtKnT8+cOXPw8/PjzJkzGs0ZMWIEFSpUYODAgcT8u6lgIhQvXpzFixfj7e2Nn5+friYnHdmzw4wZ8OwZuLjAhg1QrBgMHy66Rv9IvHgBEyZAwYIwZIiIA7p7V6xVg95WyY2fnx8nT55ky5YtWFpaajwvOjqa/v37U7p0aY3bsdy4cQNvb28mTZpExhS8EyX5eZDOi+SnpEePHlStWpVRo0ZplDptZmbGqlWruH79OsuWLdNKV9++fenQoQODBw8mOLXEk2TNKgraPX0q6pn4+EDx4pgMG0b6N2+S2zq9UFy9ShV3d8xKlgRPT9GB++FDcWxWoEBym6cRly5dwsfHh3HjxmnduHbx4sVcu3YNLy8vjXpxqdVqnJycKFWqFIMHD9bVZInEoEjnRfJTYmJiwqJFi/jjjz/Yvn27RnNq1qzJoEGDmDRpEi9evNBYl0KhYO3atWTNmpW5c+cSnpoq3GbJIgJXnz6FGTMw2b2bpoMHYzp4MDx6lNzWaU5MDOzeDb/+ilnt2mS/dw/VvHliN8ndXRyRpRI+fvxI7969KVmyJJMnT9Zq7qNHj5g8eTIjRozQuKT/nj17OHHiBG5ubpinoLo2kp8b6bxIfloaNGiAtbU148ePJyIiQqM5c+bMwcLCQusYluzZs7Nz505evXpF//79k7+Bo7ZkygTjxhH911/c6dULxb59UKKEiAuZNk0UcUuJawoNFc5JiRLQuTMoFERv387R5ctRjRgBmTMnt4VaoVarGTRoEB8+fMDZ2VkrZ0KtVjNw4EBy5crFrFmzNJoTGRnJ6NGjadmyJa1atdLVbInE4BjVeTl9+jTt2rUjX758KBQK9uzZk+ickydPUqVKFdKmTUuJEiVYv369MU2U/OTMnz+ff/75h+XLl2s0PmvWrLi7u7Nr1y4OHDigla5y5coxcuRIdu3axfz583UxN/nJmJFHHToQ/ddfsHWrCHL18BBF3AoVEqnFR45AVFTy2BcRASdOiOq39etDzpwwdizUqyeyh06fRt2hQ6qIaYmLdevW4evry4oVK8idO7dWczds2MCxY8dYuXKlxnErS5cu5dmzZ7i5uelirkRiNIzqvISHh1OxYkWNYwSePHlCmzZtaNSoEYGBgTg6OtK/f38OHz5sTDMlPzG//PILgwYNYu7cuRrXcbGxsaFp06YMGzaMz58/a6Wvdu3auLi4MGHChJTTwFEXLCxEXRgfH3jzRqRYd+oEBw5AixYi/bp7d9iyBT58MJ4dkZFw5owIMm7USMTqNG4sYlksLUWq89OnsGmTcLBSMX/88QfDhw+nf//+dOnSRau5wcHBODs706tXL1q2bKnRnI8fPzJ37lyGDBkiC9JJUhxGrbrUqlUrrbYaV65cSdGiRVm0aBEApUuX5uzZs7i7u9OiRQtjmSn5yZk6dSqbNm1i165d2NjYJDpeoVCwYsUKypUrx/z58zXqVv1ffbdu3cLW1pZbt26RP39+XU1PGZibiyJ3TZqIXZg//4S9e8HfX7QeMDUVxzYlS0KpUt8+8uXTrGKtWg2fPglH6c0bkdK9bx/8/juEhYnYnAYNRFXcRo2gfPkU0+XZELx//56OHTtSsWJFli5dqvX8sWPHYmpqiru7u8ZzfH19MTMzY9q0aVrrk0iMTYoqGXnhwgWaNm36zXMtWrTA0dExwXlKpdJoPWRi5aZW+UmhI7WvIWvWrAwYMIBly5bx9u1bjdJOCxcuzJAhQ3B3d2fIkCEa9ZKJtT0mJgYvLy8qVarEgAED8PPzM0iPmBRzHUqXFo/x4+Gff1AcPozi7l0UDx6g8PeHJ09Q/C/dXG1hASVKoC5ZUjzSpqXc1asofHxQvX+P4s0bePsW3rxB8Z+jKFW1aqjHjEHVogVUrPjtUVBMjHjougY9MIb8IUOGEB4eztatWzE1NdVKx+3bt9m0aRMeHh5kyZJFozn//PMPR48eZcKECWTKlMkor1VqvA5JreNHWoOhUaiTKHJQoVDg5+dHhw4d4h1TqlQp+vbti4uLy9fnDh48SJs2bfj8+TPp06f/ZnxoaChZsmTBx8cHCwsLY5ku+Ql4//49AwYMoFevXgneo//m48ePDBw4kLZt29K7d2+tdV6+fJk5c+bg5OREgwYNtJ6fWlEolVi8fk3Gly/J+PIlGf73b8aXLzFRKonKnJnILFm+/TdzZqKyZPn6b0T27ESlsmBbXTl79iyurq463yfz5s3j8ePHLFu2TOMA382bN7N//368vLxkXReJXnz+/BlbW1tCQkLIbMC/2RS186IrjRo1IkeOHEaRrVQqCQgIoFmzZkZJEzS2/KTQ8aOsYfPmzRw5cgRPT0+N6l8A/PXXXyxatIi5c+cm2tjuv2to3bo1jx49YsOGDTg7O2sdgJmYfGOQFNfh+P/kZ0nFazCU/KCgIH777Tc6d+7MvHnzvu7Qaarj6tWrXLx4ES8vL6ytrTXS+enTJ/r06UPz5s3p2LFjqr6XfoS/h9S+hnfv3hlcJqQw5yVPnjzfFfEKDg4mc+bM3+26/Btzc3Oj1x8wtg65huTXYW1tzfHjx/Hz86NXr14azXFxcWH9+vVMmjQJXw27Mv97DUuXLqVMmTI4OztrXG9GG/nGQt5LxpevVqsZMmQI5ubmrFy5Mk6HOjEd06ZNw8rKCnt7e8w0bCzp7e1NeHg47du3l9chhehIzWswlt0pKqKtdu3aHDt27JvnAgICtOqUKpHoSuHChWnRogWLFi3SuA5LxowZmTt3Ltu3b+fs2bNa68yZMyeenp7s2LGDXbt2aT1f8uOydu1aDhw4gJeXl1bl/2M5c+YMhw8fZsaMGRo7LpGRkbi5uWFra6uTTokkqTCq8xIWFkZgYCCBgYGASIUODAzk+fPngPjWamdn93X8oEGDePz4MWPHjuXevXssX76c7du34+TkZEwzJZKvODo6EhgYyPHjxzWe06tXL6pVq4ajo6NGrQb+S7du3ejQoQNDhw412harJHXx5MkTnJyc6NevH23bttV6vlqtZsKECVSuXJnOnTtrPG/Lli28fPkSZ2dnrXVKJEmJUZ2XK1euULlyZSr/rzurs7MzlStXZsqUKYA4z411ZACKFi3KgQMHCAgIoGLFiixatAgvLy+ZJi1JMho3bkzFihVxdXXVeI6JiQnu7u5cvXqVTZs2aa1ToVCwfPlyIiMjpaMuQaVS0adPHywtLXUuDnf48GHOnj3LrFmzMNEwZVylUrFgwQKsra1lXRdJiseoMS8NGzZMcPs9ruq5DRs25Pr160a0SiKJH4VCwejRo+nduzc3btygYsWKGs2rV68e3bp1w8XFhc6dO2udoZE3b148PDzo06cP3bt3p02bNrqYL/kB8PDw4MyZM5w4cUKn7AylUsmoUaP49ddftaqz5e/vz/379/H29tZap0SS1KSomBeJJCXQvXt3ihUrpnXxufnz5/P+/XudS//b2dnRsmVLBg4cSEhIiE4yJKmb27dvM2HCBL3S55ctW8a9e/dYsmSJxvWD1Go18+bN49dff5UxhpJUgXReJJL/YG5uzuTJk/Hz89NqF7BIkSKMGjUKV1fXb45DNUWhULBq1So+ffqEg4OD1vMlqZvo6Gjs7e0pVqwYs2fP1knG69evmTp1KoMGDaJSpUoazztz5gyXLl1i3LhxOumVSJIa6bxIJHHQq1cvChYsqHHDxljGjx9P+vTpWbx4sU56CxUqxOrVq9mxYwf79+/XSYYkdbJp0yauXr2Kt7c36dKl00mGh4cHKpWKmTNnajXPy8uLUqVK0bp1a530SiRJjXReJJI4MDMzo2/fvmzbto2wsDCN52XKlImBAwfi5eXFp0+fdNLdrVs3mjVrxsiRI4mIiNBJhiR1ERkZybRp0+jSpQs1a9bUSUZYWBgrVqxgwIABGrWriCU8PJzdu3fTu3dvg7SpkEiSAum8SCTx0LdvX8LDw9mxY4dW84YOHUp4eLjOgY8KhYIlS5bw999/a5X1JEm9rFy5kn/++UfrHZN/s3btWsLCwhLtBfdf/P39CQ8Px9bWVmfdEklSI50XiSQeihQpQtOmTfHy8tJqXoECBejatStLliwhJp7mgIlhZWWFk5MTc+bM4dmzZzrJkKQOPn36xKxZs+jTpw9WVlY6yYiOjsbd3Z3u3btTsGBBreZu3ryZunXrUqxYMZ10SyTJgXReJJIE6N+/P+fPn+fu3btazXNycuLRo0d6xa1MmjSJbNmyyYJhPzizZs3i06dPTJ06VWcZO3bs4NmzZ4wZM0arecHBwRw+fFjjdhgSSUpBOi8SSQJYW1uTI0cO1q5dq9W8GjVqULt2bTw8PHTWnSlTJlxdXdm9ezdHjhzRWY4k5XLjxg0WLVrE5MmTKVSokE4y1Go1CxcupFmzZhrXJYpl/fr1mJmZ0a1bN510SyTJhXReJJIESJs2Lb1792bjxo1ERUVpNdfJyYmTJ09+bY+hCzY2NjRo0IARI0ZorV+SsomJiWHgwIH88ssvWu+Y/JsTJ05w/fp1rWWoVCpWr15Nt27dtArwlUhSAtJ5kUgSoV+/frx580brI6COHTtSqFAhvXZfFAoFS5cu5eHDh3rJkaQ8Vq1axaVLl1i1alWcHaM1ZeHChVSsWJGmTZtqNe/YsWM8fvyYgQMH6qxbIkkupPMikSRCuXLlqFGjhtaBu2ZmZgwfPpytW7fy6tUrnfWXL1+eYcOGMWPGDF68eKGzHEnK4eXLl7i4uODg4EC9evV0lvPnn39y6NAhRo8erXWa86pVqyhbtix16tTRWb9EklxI50Ui0YD+/ftz+PBh/vnnH63nmZubs2LFCr30T5s2jQwZMuh1vCBJOYwcOZJ06dLp3EoiFnd3dwoWLEj37t21mvfq1Sv27t3LwIEDZW0XSapEOi8SiQbY2NiQNm1atm3bptW8rFmzYm9vz5o1a1CpVDrrz5o1K/PmzWPr1q3cvHlTZzkpjcjI5LYg6bl48SI7d+7Ezc2NbNmy6SwnLCwMX19fRowYgbm5uVZzt23bhqmpKb1799ZZv0SSnEjnRSLRgEyZMtGgQQOdsn66d+9OUFAQV65c0cuGXr16kS9fPpYtW6aXnJTE6dOwe3dyW5G0uLu7U7JkSXr06KGXnD/++AOlUqmTnN9//50GDRqQNWtWvWyQSJKLJHFeli1bRpEiRUiXLh01a9bk8uXL8Y5dv349CoXim4eufT4kEkPSvHlzTp8+zZcvX7SaV6dOHXLkyIG/v79e+s3NzRk4cCCbN2/m48ePeslKKZQuDTY28LNkgj9//pxdu3YxcuRITEz0e/u9ePEiNWvWJH/+/FrN+/z5M6dOnaJVq1Z66ZdIkhOjOy++vr44OzszdepUrl27RsWKFWnRogWvX7+Od07mzJkJCgr6+pAVRiUpgebNmxMZGcmZM2e0mmdmZkbbtm3Zt2+f3jY4ODgQFRXFhg0b9JaVEsifHywsoGNHOHcuua0xPkuXLiVTpkzY29vrJSc8PJzr16/ToUMHreeeOnWKyMhIWrZsqZcNEklyYnTnxc3NDQcHB/r27UuZMmVYuXIlFhYWrFu3Lt45CoWCPHnyfH3kzp3b2GZKJIlSpkwZ8uXLp9PRUefOnbl79y5Pnz7Vy4a8efPSuXNnli9frlcMTUpBoYDy5eHzZ2jTBq5fT26LjEdYWBhr1qxhwIABZMyYUS9ZR44cISoqCmtra63nHjp0iMKFC/PLL7/oZYNEkpyYGVN4VFQUV69excXF5etzJiYmNG3alAsXLsQ7LywsjMKFC6NSqahSpQpz5syhbNmy8Y5XKpUolUqD2v5v2f/+N7XJTwodP9MamjZtyuHDh5k7d65W8hs3bkz27Nk5c+YMDg4OOtsJMHDgQBo3bszhw4e/qe2RWq9DmTImnD1rSkgItGljxrRpGVPdGjSRH9s4ceDAgXrr3r17N0WKFKFw4cJayzp48CDNmzcnOjo63jGp9V5KSvlJoeNHWoOhUajVarVRJCNqGeTPn5/z589Tu3btr8+PHTuWU6dOcenSpe/mXLhwgQcPHlChQgVCQkJwdXXl9OnT3L59mwIFCnwzNjQ0lCxZsuDj44OFhYWxliGRfOXUqVO4u7uzbt06rauSrlixgmvXrrFq1Sq94h3UajWOjo7kzp2bCRMm6CwnpXDwYBFWr/7/svY5cnxh7twz5MqlXWxRSkalUjF06FCKFy/O6NGj9ZKlVCqxt7enffv22NjYaDU3KCiIwYMH4+LiQs2aNfWyQyLRhM+fP2Nra0tISAiZM2c2mFyj7rzoQu3atb9xdOrUqUPp0qVZtWpVvO3iGzVqRI4cOYxij1KpJCAggGbNmmmdjpgS5CeFjp9pDdWqVcPd3R2A1q1ba6XDwsKC5s2bkzFjRho2bKiPubx8+ZLhw4dTrly5rz1xUut1yJRJwerV///zu3fpmT+/KSdOxJAnj0FUfENy3Ev79u0jKCiIHTt2UKNGDb3kHz58mM+fP1OrVi2t17By5UrMzMwYPXo0mTJl0moNhial/E2nZB0/whrevXtncJlgZOfF0tISU1NTgoODv3k+ODiYPBq+K5mbm1O5cmUePnyY4BhjXdik0iHXkDJ0JCY/f/78VK5cmePHj9O3b1+tZNevX5+cOXOyY8cOmjVrppeddnZ2uLi44OXl9d0RVmq7DpUqff/co0cmtG5twqlTYKy2O0l5L3l6elKrVi3q1q2rt1x/f39KlChB4cKFtV5DQEAA9erV03jXMLXdS8khPyl0pOY1GMtuowbspkmThqpVq3Ls2LGvz6lUKo4dO/bN7kpCxMTE8Oeff5I3b15jmSmRaEXz5s0JCAjQOmDWxMSE+vXrs2vXLr2bLGbMmJH+/fuzYsUKPnz4oJes5CZ7dsiX7/vnb92CVq3g06ekt8mQBAYGcuLECZycnPSWFRMTw549e7C2tta6Mm5kZCTHjx+XWUaSHwKjZxs5OzuzZs0aNmzYwN27dxk8eDDh4eFfv7XGfoOMZcaMGRw5coTHjx9z7do1evXqxbNnz+jfv7+xTZVINKJ58+YEBwdz69YtrefWr1+f9+/f65Sx9F/GjBlDVFQUnp6eestKbsqX//bnEiXUfPwIR49Cai/z5OnpScGCBenUqZPess6fP8+bN2/o2LGj1nPPnTtHeHi4dF4kPwRGd166d++Oq6srU6ZMoVKlSgQGBnLo0KGv6c/Pnz8nKCjo6/gPHz7g4OBA6dKlad26NaGhoZw/f54yZcoY21SJRCOqV68OwI0bN7SeW7hwYfLnz8/Zs2f1tiNPnjx07tyZnTt36i0ruSlXDtKmhUGDYgB4+FDB4cOQKRMYebfcqKjVag4ePIiNjQ1mZvqf0l+6dAkLCwuqVq2q9dzAwEAsLCwo/19PUSJJhSRJwO6wYcMYNmxYnL87efLkNz+7u7t/DYiUSFIimTJlokCBAty7d0+n+VWrVtW7VUAsbdq0YfPmzfz9998ax5GlRMqXBw8P6NVLxc6dkbx9a8H06dClC+hZiDZZ+euvvwgKCqJRo0YGkXfjxg0qVKiAqamp1nPv3LmDlZWV3pV9JZKUgLyLJRIdsLKy0tt5MUSVghYtWmBqasrBgwf1lpWcdOwIAweK3ZcuXR4AcOcOpPZNpRMnTmBqakq9evUMIu/GjRtUrFgx8YFxcPfuXbmDLflhkM6LRKID+jovISEhCWbQaUq2bNmoU6cOBw4c0FtWcpI5s6i2C9CkyXMKFhSO3YwZkJoLCZ84cYLq1asnmJasKZ8/f+bOnTtUiis9KxHUajV37tyhdOnSetshkaQEpPMikeiAlZUVDx48SLBKaXzExisY8ujo2LFjREREGERecmNurmLcOOGx3L4NK1c+49WrV8lslfao1WpOnjxpsCOj69evExMTo1NxueDgYD5+/Ch3XiQ/DNJ5kUh0wMrKCqVSyePHj7WemyNHDooWLWpQ5+Xz58+cPn3aIPJSAvb2KvLleweMYvRoGywtcyW3SVpz584dXr9+rXdBwlguXbpE+vTpKVeunE62ANJ5kfwwSOdFItGB2O13XY+OqlWrxh9//GEQW8qWLUuhQoX4/fffDSIvuYmMjMTDYz7v3xcD3PjyZTp+fqnvrer06dOYm5sbpDAdCOelSpUqOhX9unv3LmnSpKFYsWIGsUUiSW5S3zuCRJICyJs3L5kyZdLZealevTrXrl0jJiZGb1sUCgWtW7fm999/N0gQcHIRHR3N2rVrGTx4MJMnTyYiIpS0aRsDzZg+PfXFvpw4cYIaNWqQIUMGg8i7fPmyzv2I7ty5Q6lSpQySri2RpASk8yKR6IBCodAraLdatWqEh4dz//59g9jTpk0bHj9+zIsXLwwiLylRq9X4+flRrlw5Bg8ezPv377/+ztFxHqDg9m0wQF2/JEOpVHL06FFatWplEHmvX7/m6dOnejkvMlhX8iMhnReJREesrKy4e/euTnOrVKkCYLCjo8aNG5MuXTqDxdEkFadPn6ZOnTp06tTpO0euW7duTJ9enY4d4fffoUWLZDJSB27evElYWBjW1tYGkXfp0iUAnZs6yjRpyY+G3EOUSHSkaNGi3/Tt0oYsWbJQqFAh/vrrL4PYYmFhQfXq1Xn06JFB5CUF27dvZ8CAAYSEhHz3OzMzM2bNmkXatLB7dzIYpyd//fUXuXPnpmzZsgaRd+/ePTJmzEjhwoW1nhsZGUlwcDBFixY1iC0SSUpA7rxIJDqSMWNGPn/+rPP8rFmzEhoaajB7cuXKZVB5xqZbt24EBwfTvXv3737Xv39/SpYsmQxWGYaQkBDy5MmjdfPE+AgNDSVbtmw6yQsPDwcwSK0ZiSSlIJ0XiURHLCwsvn4w6EKmTJn4ZMCWyZaWlgaVlxR4eXnh6+v7zXPp0qVjwoQJyWSRYQgJCSFnzpwGlZclSxad5sbeo4YKHJZIUgLSeZFIdCRDhgwolUqUSqVO8zNnzmzQnZLs2bOnqp2XN2/eMHHiRABy587NyJEjAWjfvn2q7tMEYqfE0tLSoPIyZ86s01zpvEh+RKTzIpHoSOyHga5HR4Z2XiwtLVOV85IzZ04OHz7ML7/8wsmTJxk/fjy5c+emQ4cOyW2a3hh650U6LxLJtySJ87Js2TKKFClCunTpqFmzJpcvX05w/I4dO7CysiJdunSUL18+1Tedk/yYWFhYALo7L5kyZTKos5EjRw6ioqL0isNJamrWrMnt27exsrIiT5487Nq16+vrmpox9M6LPDaSSL7F6M6Lr68vzs7OTJ06lWvXrlGxYkVatGjB69ev4xx//vx5evToQb9+/bh+/TodOnSgQ4cO3Lp1y9imSiRaEfthoGvcS+bMmQ0ao5IjRw4A3r17ZzCZSYGpqenX/+uaCpySiImJ4dOnTylu5+VHcAolkliM7ry4ubnh4OBA3759KVOmDCtXrsTCwoJ169bFOX7x4sW0bNmSMWPGULp0aWbOnEmVKlXw9PQ0tqkSiVbou/NijGMjgLdv3xpMpkR73r9/j1qtNnjMi9x5kUj+H6PWeYmKiuLq1au4uLh8fc7ExISmTZty4cKFOOdcuHABZ2fnb55r0aIFe/bsiVePPkGTiRErN7XKTwodP+sa0qRJA4gtfU3m/VeHhYUFoaGhBltT7IdbcHBwinqdUpL8pNARFBQEQLZs2QymIyQk5GuAOGi3htg6OmnSpNHYnh/hOsg1pAwdxpJrVOfl7du3xMTEkDt37m+ez507d7xl1V+9ehXn+FevXsWr58SJE0bfEg0ICEjV8pNCx8+2huDgYEDcf/8uaa+pjmfPnhEWFsb+/fsxMdF/E/TLly8AnDx5EpWRGwGlpOuQ0nTEHnH/9ddfeqXS/5sPHz7wzz//fBf/p8kaLl++jKmpKUePHtVab2q+DkklPyl0pOY1GCsG74eosNuoUaOv5/2GRqlUEhAQQLNmzXTq5prc8pNCx8+6hliHukKFCrRu3VprHaGhoSxbtoyGDRuSMWNGvewHsdNpYmJCoUKFNLJHF1LidUhpOiIiIgBo1aoVBQoU0FueSqUiKiqK6tWrf72u2qzh/v37pE+fXqt74ke4DnINKUOHsWLwjOq8WFpaYmpq+vUbaizBwcHx1nHIkyePVuMBzM3NjXZhk0qHXEPK0KGN/NidjmzZsmllU6yO0NBQzM3NyZo1q0EqsQYHB6NSqciXL99PdR1Smo6CBQsCoo6NoUryZ8mShZCQkO/s1WQN2bJlIzw8HBMTk2+CozUhNV+HpJKfFDpS8xqMZbdRA3bTpElD1apVv+n/olKpOHbsGLVr145zTu3atb/rFxMQEBDveIkkuYj9RqHrrl9QUJBBS8g/fvwYgGLFihlEnkQ3SpQoAcCDBw8MJjNfvnxfY2m0JUeOHKjVaj58+GAweySS5Mbox0bOzs7Y29tTrVo1atSogYeHB+Hh4fTt2xcAOzs78ufPz9y5cwEYOXIkDRo0YNGiRbRp04Zt27Zx5coVVq9ebWxTJRKtMITzkjdvXoPZE9uUsXjx4gaTKdGebNmykTlzZoM7Ly9fvtRp7r+z0AyZASWRJCdGd166d+/OmzdvmDJlCq9evaJSpUocOnToa1Du8+fPvwlWrFOnDj4+PkyaNIkJEyZQsmRJ9uzZQ7ly5YxtqkSiFfo6L69evTJoGfxHjx6RLVs2mRKbAsiXL5/BnZcnT57oNDfWYUlt9X8kkoRIkoDdYcOGMWzYsDh/d/Lkye+e69q1K127djWyVRKJfrx7946MGTN+TZnWlqCgIIMWZXv8+HGq7wn0o2AM5+XcuXM6zZX1fyQ/IrK3kUSiI+/evdMry80Yx0bSeUkZxDovarXaYPJevnypk7zs2bMD0nmR/FhI50Ui0ZG3b9/q7LzExMTw+vVrgzobjx8/NqgzJNGdfPny8fHjR4Md1eTLl4+IiAg+fvyo9VwzMzOyZs0qj40kPxTSeZFIdESfnZc3b96gUqkM5myEhITw9u3blL3z8v49dO4Mz58ntyVGJ1++fIAoVGcIYu8TfYJ25c6L5EdCOi8SiY7o47zEpr0aynmJzTRKsTsvX75A06awezc0avTDOzCx18FQzkusM6Sr85IjRw7pvEh+KKTzIpHoSEpyXh4+fAiQcnde0qeHjh3F/x8//uEdmLRp01KwYEHu379vEHly50Ui+RbpvEgkOhATE8Pjx48pVKiQTvMDAwPJlCmTwZyNw4cPU6xYMTJlymQQeUZh8mSYMUP8/ydwYKpVq8bx48cNIitdunQUKVKEa9eu6TS/SJEiBs1+kkiSG+m8SCQ68OjRI8LDw6lcubJO80+dOkW9evUwM9O/WkFERAS7du2ie/fuessyOj+RA9OuXTsuX76sc2Xc/9K4cWOdnaEqVapw//59wsLCDGKLRJLcSOdFItGB69evA1CpUiWt5yqVSs6dO0fDhg0NYsvBgwcJCQmhR48eBpFndH4SB6ZVq1aYmpqyb98+g8hr3Lgxt27d+q73myZUqVIFtVrNjRs3DGKLRJLcSOdFItGB69evkz9/fnLmzKn13GvXrhEeHk6DBg0MYouPjw9VqlTBysrKIPKShJ/AgcmRIwf16tXD39/fIPIaNWoEwIkTJ7SeW7ZsWdKkScPVq1cNYotEktxI50Ui0YHAwECdj4xOnz5NhgwZqFKlit52hISEsH//fmxtbfWWleT8BA5M+/btOXr0qEGOa/Lly0fJkiU5e/as1nPNzc2pUKGCzjEzEklKQzovEomWqNVqrl+/rrPzcubMGerVq2eQVvG7du0iKioKGxsbvWUlC/9xYMyaNyf9mzfJa5MBsba2JjIykoCAAIPIq127NhcuXNBpbpUqVaTzIvlhkM6LRKIlQUFBvH79Wqd4l5iYGM6ePWvQI6NGjRqRP39+g8hLFv7lwCgeP6bupEn/vwOjVoOOPX1SAsWLF6dMmTLs3bvXIPLq1KnDjRs3CA8P13pu1apVuXPnDl++fDGILRJJciKdF4lESwIDAwF02nl5/PgxYWFhBnFeXr58yfHjx1PnkdF/+ZcDkyE4GLPmzYUDc+MG2NtDVFQyG6g71tbW7N+/n5iYGL1l1a5dm5iYGJ1iV6pUqUJMTAw3b97U2w6JJLkxqvPy/v17evbsSebMmcmaNSv9+vVL9Oy3YcOGKBSKbx6DBg0yppkSiVZcv36dLFmyUKRIEa3n3r59GwsLC6pVq6a3Hb6+vpibm9O5c2e9ZaUIJk8mZupUQOzA0LAhuLvDo0ewZk3y2qYH7du35927d5w/f15vWWXLliVTpkw6HR2VK1cOMzMzeXQk+SEwqvPSs2dPbt++TUBAAPv37+f06dMMGDAg0XkODg4EBQV9fSxYsMCYZkokWnH9+nUqVaqEQqHQeu6tW7eoXbs2adKk0duOXbt20apVK7Jmzaq3rJSCauJE7samfD95Ahs3iv/PmAGfPiWfYXpQo0YNcufObZCsI1NTU2rUqMHFixe1npsuXTrKlSsnM44kPwRGc17u3r3LoUOH8PLyombNmtSrV4+lS5eybdu2REtcW1hYkCdPnq+PzJkzG8tMiUQr1Go1Fy9e1GnnJCwsjFu3bhnkyOjx48dcuHABa2trvWWlNB63b4/qvzVwXr8GN7dksUdfTExM6NChAz4+PkRGRuotr169epw7dw6lUqn13OrVq3MuFccQSSSxGM15uXDhAlmzZv3mTb5p06aYmJhw6dKlBOdu2bIFS0tLypUrh4uLC58/fzaWmRKJVly/fp0XL17QunVrredu376dyMhIg8SouLq6kiNHjtSbZRQPJitW0NLODpOTJ7//paurcGJSIU5OTgQFBeHt7a23rG7duvHx40eddlDatGnDvXv3DNZzSSJJLvSvTR4Pr169IleuXN8qMzMje/bsvHr1Kt55tra2FC5cmHz58nHz5k3GjRvH/fv32b17d7xzlEqlTt9CNCFWbmqVnxQ6fqY1+Pn5kSVLFmrVqqW1LWvWrKFKlSrkzZtXr3UEBwezbt06JkyYgJmZ2Xe2p+rr0L8/gR8+UMvPD5P/VoMNCyNmxgxU7u766UiGe6lYsWJ069aNuXPn0rt3b72ODUuWLEnFihU5deqU1mto1KgRFhYW7Ny5k7Fjx8Y77oe4l+QaUoQOY8lVqNVqtTYTxo8fz/z58xMcc/fuXXbv3s2GDRu+8/Bz5crF9OnTGTx4sEb6jh8/TpMmTXj48CHFixf/5nehoaFkyZIFHx8fLCwstFmGRKITzs7O5M+fn1GjRmk17/Hjxzg7O+Pi4kLNmjX1smHTpk0cOHAALy8vMmbMqJesFItKRf5z5yi9eTMZ/lUOX2VmxrGlS/lsoG7cScnff//NiBEjGDx4MM2bN9dL1t69e9m0aRPr16/X+h6YN28e7969Y+HChXrZIJFowufPn7G1tSUkJMSgISBa77yMGjWKPn36JDimWLFi5MmTh9f/2eKNjo7m/fv3WnXSjX2jj8t5iaVRo0bkyJFDY5naoFQqCQgIoFmzZgYpKpbU8pNCx8+yhufPn/P48WOmT5+u9bHRqFGjyJ07N9WqVdNrDSEhIdjZ2TFkyBC6deum9Rr0JcmuQ4sWmLdtC9OnE+Plhcns2SjevMEkOpomJ08Ss2mT/jqS4V46deoUBw8eZOHChXrpLleuHBs2bCAkJOS7+yAxPnz4QN++falYsWK89YF+qHtJriFZdbx7987gMkEH5yVnzpwa9XOpXbv213PZqlWrAmIXRaVSafXNM7amRt4EvmmZm5sb7cImlQ65hpShIyH5hw4dwszMjHbt2mllQ0xMDDt37qRbt26YmprqtYZ169YRERHBqFGj4pXxQ10Hc3MYORJ++w0WLQJXV0x8fTEZOxb0bK+QHPfSlClTqFChAtu2beO3337TWXahQoUoX748vr6+DBkyRKu51tbWmJmZceDAAYYOHZrg2B/qXjIicg0JyzUGRgvYLV26NC1btsTBwYHLly9z7tw5hg0bho2NDfny5QPgxYsXWFlZcfnyZQAePXrEzJkzuXr1Kk+fPsXf3x87Ozvq169PhQoVjGWqRKIR/v7+NGzYkCxZsmg17/Tp0wQFBWn9Dfm/RERE4O7ujp2d3de/oZ+GTJlg2jRR82XoUJgyJbkt0ony5cvTuXNnZs+eTXR0tF6yGjZsyOnTp3muZT+obNmy0ahRI/z8/PTSL5EkJ0at87JlyxasrKxo0qQJrVu3pl69eqxevfrr75VKJffv3/+aTZQmTRqOHj1K8+bNsbKyYtSoUXTu3NlgLeUlEl0JDQ3lxIkTtG/fXuu527Zto0iRItSoUUMvGzZt2kRwcDBjxozRS06qJndu8PQEDw8IDU1ua3Ri0qRJPH78mC1btuglp1atWqRPnx4fHx+t53bs2JGTJ0/y/v17vWyQSJILozov2bNnx8fHh0+fPhESEsK6deu+CS4rUqQIarWahv+r6VCwYEFOnTrFu3fviIiI4MGDByxYsEDWeZEkO4cOHUKpVNKuXTut5kVFRbFz505sbGx0KmoXS0xMDAsWLKBz586UKlVKZzk/DCVKQCp9X6hUqRLW1tZ6776kT5+e9u3bs2nTJrTMu8Da2pqYmBj279+vs36JJDmRvY0kEg3w9/enQoUKWrcEOHr0KO/fv6dHbNVYHdm9ezcPHz5k3LhxesmRpAymTJnCgwcP8PX11UuOra0td+7c4cZ/08oTIV++fNSsWVMeHUlSLdJ5kUgSITIykoMHD+pUzXbz5s2ULl2a8uXL66w/Ojqa2bNn06RJE4P0RJIkP1WqVKFt27ZMnz6diIgIneU0bdqUnDlzsn79eq3nduzYkcOHD/MplbZdkPzcSOdFIkmEHTt28OHDB60r4z59+pTt27czcOBAvY6MPDw8uHnzJrNnz9ZZhiTlMW/ePJ49e8YUPYKPzc3NGTBgAGvWrPmuNEVi9OzZk6ioKJ0cH4kkuZHOi0SSCJ6enjRr1gwrKyut5i1cuJBs2bLh4OCgs+6HDx8yefJkRo4cqXdxO0nKomzZssycORNXV1e9Ok47OTlhYmKCm5a9nwoUKEDXrl1ZsmQJKpVKZ/0SSXIgnReJJAGuXLnCpUuXGDZsmFbzXr16xdq1a3FyctK5+rNarWbAgAHkyZOHWbNm6SRDkrIZNWoUtWrVwt7eni9fvugkI0eOHAwfPhxPT0/evn2r1dyRI0fy8OFDDh8+rJNuiSS5kM6LRJIAy5Yto3DhwrRp00aree7u7qRNm1brAmL/Zu3atZw4cYLVq1eTIUMGneVIUi6mpqZ4e3vz7NkzrXdO/o2zszOA1jJq1qxJhQoVWLt2rc66JZLkQDovEkk8vH37lq1btzJkyBBMTU01nvfhwweWL1/O0KFDyZo1q066X758yejRo+nTpw/NmjXTSYYkdfDLL78wfPhw5s6dy8uXL3WSYWlpydChQ1m6dKlW5dgVCgX9+/dn7969WsfMSCTJiXReJJJ4iP02qm0Z96VLlxIdHY2jo6NOetVqNUOHDiVdunQsWrRIJxmS1MXkyZNJnz49EyZM0FnG6NGjUalUeHh4aDWvZ8+emJqasnHjRp11SyRJjXReJJI4iImJYfny5fTo0QNLS0uN54WFhbF48WIcHBzIlSuXTrp37drFnj178PT0JHv27DrJkKQusmbNyqxZs9iwYQN//PGHTjJy5szJkCFDWLJkCR8+fNB4Xvbs2enUqRNeXl5aF7uTSJIL6bxIJHGwf/9+nj9/rnWg7urVqwkNDWX06NE66Q0JCWHYsGF06NCBzp076yRDkjrp378/FSpUwNHRUWcnYvTo0SiVSq13X/r168f9+/f1ynqSSJIS6bxIJHHg6elJrVq1vnZE14TIyEhcXV3p3bs3hQoV0knvggULCA0NZenSpXrVhpGkPkxNTXF3d+f8+fM6V97NnTs3gwcPZvHixXz8+FHjeY0aNaJo0aJ4eXnppFciSWqk8yKR/If79+9z9OhRrXddNmzYwKtXr3Qu4f/PP//g7u6Ok5MTBQoU0EmGJHXTuHFjOnTowNixY782rNWWMWPGEBkZyeLFizWeY2Jiwm+//cb27dsJCQnRSa9EkpRI50Ui+Q9ubm7kzJmTLl26aDwnJCSEqVOn0q1bN3755RetdarVahwcHMicOTNjx47Ver7kx8HV1ZW3b9/i5OSk0/w8efIwZMgQXF1defXqlcbz+vbti1KpZOXKlTrplUiSEum8SCT/4sWLF6xfv55Ro0aRNm1ajedNmTKFT58+sXDhQp30rlixgkOHDrFu3TqyZMmikwzJj0Hx4sVZvHgxq1evZseOHTrJmDhxIubm5kybNk3jOfnz5+e3337D1dWVsLAwnfRKJEmF0ZyX2bNnU6dOHSwsLDSudaFWq5kyZQp58+Ylffr0NG3alAcPHhjLRInkO9zd3bGwsGDw4MEazwkMDMTT05OpU6dSsGBBrXXev3+f0aNHM3jwYFq3bq31fMmPR//+/enatSsODg48ffpU6/nZs2dn8uTJrFmzhjt37mg8z8XFhZCQEFatWqW1TokkKTGa8xIVFUXXrl21+hBYsGABS5YsYeXKlVy6dIkMGTLQokULvbquSiSaEhISwpo1axgxYgSZM2fWaI5KpWLw4MFYWVnpVNdFqVTSq1cvChYsiKurq9bzJT8mCoWC1atXkzVrVmxtbVEqlVrLGDJkCEWKFNHqGLJw4cL06dMHNzc3+b4rSdEYzXmZPn06Tk5OlC9fXqPxarUaDw8PJk2ahLW1NRUqVGDjxo28fPmSPXv2GMtMieQr+/btw8TEhBEjRmg8x9vbm4sXL7JixQrMzc211jljxgwCAwPZvHmzzj2QJD8mWbNmZevWrVy+fFmr459Y0qZNy7x58zhw4ADHjh3TeN6ECRP48OEDhw4d0lqnRJJUmCW3AbE8efKEV69e0bRp06/PZcmShZo1a3LhwgVsbGzinatUKnX6ZqIJsXJTq/yk0PEjrOHNmzccPHjwa9CsJnpCQ0NxcXHB1taW2rVrJzrnv2u4cOECc+bMYfLkyVSqVEnvtaWq6xAaCo8eoXj0CMXjxygePYLHjzGJiKCGSoVi1y5icuaEHDlQW1pC9uxgaYk6Rw6wtIRs2UCLlg1GWUMSyK9WrRrTpk1jypQpNGjQgEaNGmmlw9ramlq1ajFq1CguXryoUZuL/Pnz07NnT/z8/Fi4cKHRYrBS03VILh0/0hoMjUJt5JKK69evx9HRMdGaA+fPn6du3bq8fPmSvHnzfn2+W7duKBSKOOsehIaGkiVLFnx8fOS3VolebN++nR07drBq1SqNq9pu3boVPz8/li1bRs6cObXS9+XLFxwdHcmaNStz5szRqndSasIsPJxc16+T6e+/yfDq1ddH2n+l40ZlyMDnPHkIy5sXlbk5aT59+v9HaChp4ggejTE35225cgRXrUpwtWp8zpMnKZeVpKhUKqZNm8bff/+Nh4eH1s7EvXv3GD9+PCNGjKBx48YazXn16hVDhgyhT58+tG/fXhezJRIAPn/+jK2tLSEhIRofx2uCVjsv48ePZ/78+QmOuXv3LlZWVnoZpS2NGjUiR44cRpGtVCoJCAigWbNmOh0LJLf8pNCR2tcQFhZGv379aNasGd27d9dIfnBwMD179mTYsGHY29trpOffaxg2bBhhYWGcPHmS4sWL67uE7+Qn63WIjERx6BAmW7eiOHAARWQk6jx5UBcrBjVqoC5WjOjixaF4cdTFi6PInp0MQIZ45Cujo+HDB3j7FsW7d/DuHYrHj8l5+DC5NmyggpcX6l9+QdW6NepWrVDXqQNp0ui3BmO/RlpStWpVqlWrxrZt2/Dz8yMmJkZjHa1bt+aPP/5g165dzJgxQ6Mvekqlkh07dnDgwAHc3d1Jnz69QdbxXx2p7ToktY4fYQ3aNArVBq2cl1GjRtGnT58ExxQrVkwnQ/L875tTcHDwNzsvwcHBVKpUKcG55ubmRruwSaVDriH5dHh7exMSEkLHjh01lj9v3jzMzc2/pqRqw8GDB/H29mbNmjVGcfST5TqoVHDqFPj4wM6d8PEjVKoEs2aBjQ2KAgXQpl7wN/LNzSF9esiX79tBY8eK46ejR1EcOIDp1q3g7g6ZMkHz5tCmDbRqBfHsyqSmv4dChQqxYcMGWrduzZo1axg4cKBWOubPn0/p0qXx9PRk4sSJGuns0qULJ0+exNvbm5EjR+plf0KkpuuQXDpS8xqMZbdWzkvOnDm13h7XlKJFi5InTx6OHTv21VkJDQ3l0qVLWmUsSSTaEBERwcKFC+nZs6fG9/ajR49YtWoVs2bN0rpx4sePHxk9ejTt27enX79+upicclCr4cYN2LIFtm6FFy+gaFEYOhRsbaFMGePbkDkzdOokHioVBAbCgQPi0a+fsLFdO5g+HSpXNr49RqRVq1YMHjwYFxcXrVPqixcvzrBhw5g3bx79+vX7+mUxIfLmzYutrS3z589n4MCBpEuXTlfTJRKDY7Rso+fPnxMYGMjz58+JiYkhMDCQwMDAb4ofWVlZ4efnB4jUQEdHR2bNmoW/vz9//vkndnZ25MuXjw4dOhjLTMlPzsqVKwkODmbMmDEajVer1YwaNYpcuXIxfPhwrXQplUoWLVqEiYkJa9asSbW9i9KEhmIyfbpwVCpXhvXroUMHOH8eHj0Suy1J4bj8FxMTqFIFJk+Gixfh1StYswbu3RPPN2okdoWMGPxobObOnUumTJkYOHAgMTExWs2dNGkS5ubmWrWvcHFxITg4mKVLl2prqkRiVIzmvEyZMoXKlSszdepUwsLCqFy5MpUrV+bKlStfx9y/f/+bPhpjx45l+PDhDBgwgOrVqxMWFsahQ4ekxy8xCm/evGHatGkMGDCAUqVKaTRnx44d7N27l8WLF2sVJK5Wqxk+fDh3797Fx8eHXLly6Wp28vH8OSbOzjTr3x8Td3dxJHP4MLx8CZ6eULs2pCSHLFcu6N8f7twRO0PR0dC1K2YlS1LK11c4N6mMLFmysHHjRo4dO6Z19d3s2bOzaNEiNm7ciL+/v0ZzSpQowdChQ5kxYwYvXrzQxWSJxCgYzXlZv349arX6u0fDhg2/jlGr1d/E0CgUCmbMmMGrV6+IiIjg6NGjGn+oSCTaMnHiRBQKBbNmzdJo/Nu3bxk2bBidOnXSqu8RiC7V69atY/DgwdSvX18Xc5OP27fB3h6KF8fEx4eHHTsS/egRrFghYkuMfBavN2ZmYGMDZ85AYCCq1q0puXs3ZsWKQY8ecPasOF5KJTRt2pQpU6bg6+tLQECAVnP79OlD27ZtGTBggMaBlDNmzCBDhgyMGjVKF3MlEqMgextJfkquXr2Kl5cXM2fOxNLSUqM5jo6OREdHs2zZMq11jRo1iuHDh9OkSRNdzE0ezp+H9u2hXDk4fhxcXYl++JD7PXqAkbL7jE7FiqiWL+fw2rWo5s+Ha9fg119FcLG3N2h5FJNcuLi4UKlSJezs7Pj77781nhdbuTcqKkrjrulZs2Zl4cKF+Pr6alXsTiIxJtJ5kfx0xB7hlC1blkGDBmk0Z//+/WzZsgV3d3eNgh1jCQ0NpXv37lSoUIE5c+boanLSoVbDwYNQvz7UrQsPH4qYlkePYORIyJgxuS00CNEZM6IaPhzu3oUjR6BIEfjtN6hZU8TLpHBMTExwcnLCwsKCbt26ERUVpfHcvHnz4unpybZt29i5c6dGc3r16kW9evVwdHTUOtZGIjEG0nmR/HRs2bKFCxcusGTJEszMEk+4CwkJYdCgQbRs2RI7OzuN9ajVagYNGsTr16/x9fXVqkt1snD1KlSvLlKMo6Jgzx64dUscGSVQNyVVY2ICzZrB3r1w7pzIWKpdW2QqvX6d3NYlSObMmdm6dStXr17Vqn8RQI8ePejYsSODBw/mtQbrVCgULFq0iFu3brFp0yZdTZZIDIZ0XiQ/FZ8+fWLs2LF07dr1a6n1xBgzZszXTrvaZAitW7eOrVu3snr1aoMVojMKX77AuHFi10GphBMn4MIFsLYWH+4/C3XqwB9/iFgePz8oVQqWLhWBvimUGjVq4ObmxuLFi9m+fbvG8xQKBStXrgRg8ODBaFJovUaNGnTr1o1Jkybx5csXnW2WSAzBT/TOJJHAnDlz+PjxIwsXLtRo/PHjx1mzZg0LFiygUKFCGuu5ffs2w4cPp3///gn25Up2Tp6EChXAwwNmzIArV6Bhw5SVNZSUmJrCoEHw11/Qvbs4KqtaVQT7plCGDh2KjY0N/fr14/79+xrPy5UrFytWrGD37t3s2rVLozmzZ88mODiYxYsX62quRGIQpPMi+Wl48OABbm5ujBs3jsKFCyc6Pjw8nP79+1O/fv2vFU014fPnz3Tv3p1ixYql3Df5kBAYOFDUPsmdWxSbmzAh5WcOJRWWlrBqFVy+LKr71q8PvXqJtPAURmwQboECBejcuTPh4eEaz+3SpQvt27fHycnpmxpc8VGiRAkGDRrE3Llzefv2rT5mSyR6IZ0XyU/D2LFjyZs3r8bxAZMmTSIoKAgvLy9MtDg+cXR05PHjx2zfvj1lNgz19xdF5Hx8YNkyOH0akrgfWaqhWjWRdbV2rQjs/eUXcHVNcUdJmTJlYufOnTx58oRBgwZpdAwUi4eHB2/fvmXmzJkajZ88eTJqtZrZs2fraq5EojfSeZH8FJw/f549e/Ywa9YsjZrMnT17lsWLFzNz5kxKliypsZ4tW7awZs0ali5dSpnkqDKbEE+eQNeuIpalUiVRv2XIkJ8rrkUXTExEJtL9+9C3r4gPatoUnj5Nbsu+oWzZsqxevZrNmzezYsUKjecVLVqUCRMm4Obmxq1btxIdnytXLsaOHcuyZct49OiRPiZLJDoj37UkPzxKpZLBgwdTpUoVevTokej4t2/fYmNjQ506dXB0dNRYz9mzZ/ntt9+ws7Pjt99+08NiAxMaCs7OYtfg3DnRi2j/ftAihkcCZMsGS5aIgOYnT0T9G09PkaGUQujZsycjRoxg+PDh7NmzR+N5Y8aMoWTJkvTq1YvIyMhExzs5OZE3b16td3kkEkMhnRfJD8/ixYu5desWq1evxtTUNMGxarWagQMHEhERga+vr0ap1CBaXVhbW1OnTp2U1bfozBmoWFH0+Jk6FR48EE0TU4p9qZH69eHPP8HODoYPFwHOf/2V3FZ9xc3NjU6dOmFra8uNGzc0mpMuXTp8fHy4c+eORl2nM2TIwMqVKzl69CgbN27U12SJRGuk8yL5oXn27BlTp05l2LBhVK1aNdHxW7ZsYffu3axatYr8+fNrpOPNmze0bt2a3Llzs3v3btKkhJooUVHg4gINGkD+/HDzJkycCBkyJLdlPwaZM8Py5SJb6+VL4SC6uqaICr2mpqZs2LCBX375hY4dO/L+/XuN5lWqVIm5c+eyaNEijSrptmrVip49e+Lk5ERwcLC+ZkskWiGdF8kPi1qtZujQoWTLlk2jYMQ3b97g6OhI79696dy5s0Y6vnz5Qvv27QkLC+PgwYNky5ZNX7P1584dqFVLfJjOng2nTokO0BLD06CBcAyHDIGxY0WtmNu3k9sqLCws8PPzIyQkhB49emhcFdfJyYkmTZrQr18/QkNDEx3v4eGBqampVserEokhkM6L5Idl9+7dHDhwgKVLl5I5c+YEx6pUqq/jlixZopF8tVqNnZ0dN2/eZP/+/RQpUsQAVuuBSkWx/fsxq1ULIiLg0iWx+5LIUVmyER0NL16I2jL798OaNZisXEmBEydQ+PuL2JKrV8VR16tX8PlzymygaGEBixaJrKRPnzCrUYNS27eLgn/JSJEiRdi2bRtHjx5l8uTJGs0xMTFhw4YNREREsHz58kTjWSwtLfHw8GDbtm3s37/fEGZLJBqh2YG+RJLKCA0NZcSIEbRv354OHTokOn758uXcvHmTQ4cOkTVrVo10uLm5sXPnTnbv3k316tX1M1hfXrzAtE8fyh89SsywYZguWCDqkyQnKpVoL3DuHDx/LhyQoKD/f7x9+60zolBgYmpK1ehoiK8+jqmpOLLJnl1kTFWrJloaVK0KGl43o1GrFly7hmraNH5ZuBDF7duwYYM4UkommjVrxty5cxk3bhxVq1bVaEcxf/78LF++HBsbGzZs2ICDg0OC421tbdm8efPXjumJfVGQSAyB0ZyX2bNnc+DAAQIDA0mTJg0fP35MdE6fPn3YsGHDN8+1aNGCQ4cOGclKyY/KpEmTCAkJYenSpYkGz967d48JEybQtm1bGjdurJH8M2fOMG7cOMaOHUvHjh0NYbLubN8OgwahSJeO81OnUn3iREyTo9hcTIw4Qjl1SsSCnDkD79+DmZmIu8mbVzzq1YM8ef7/59hHzpxEq1Qc2ruXlnXqYB4RITKlYh+fPv3//4ODRUfoOXPE8wAlSghHplo18ahSJekbSaZLh2rmTM7lykWD9euFQ7N2rQiSTibGjBnDlStX6NOnD6VLl9Yohb9Tp040bdoUJycnGjZsmGC5gNhWA2XLlmXChAl4enoa0nyJJE6M5rxERUXRtWtXateuzdq1azWe17JlS7y9vb/+nOKb2UlSHH/88Qeenp4sWrQo0ZL+SqWS3r17U6hQIXr37q2R/FevXtG9e3fq1q2bvIW6QkJEtsumTdC1K9FLlvDm0qWk0x8dDYGB3zorISGQNq1obhibiVOzpua7QEolqjRpIFcuzar9qlQi0+fKFdGX6MoV0VDyyxeRUVW6NLRqBT17ip2aJMqyCilenOizZzEfPlzovn4d5s4VjlwSo1AoWLduHbVr16ZDhw788ccfZMmSJdF5/fr14+nTp/Ts2ZNz585hnsD1KFy4MHPmzMHR0ZEePXpQt25dQy5BIvkOo/0lTZ8+HYD169drNS9t2rTkyZPHCBZJfgaio6MZMGAAlSpVYvjw4YmOnzNnDtevX+f06dO8efNGI/k9evRApVKxbds2jVOpDc6DB9C2rTiK2bhRlK5PiqqvajXZ79zBdMcO2LdP7IKkTy8CVUeNEgGsNWpAunTGtwVEATkrK/Ho1Us8Fx0tgpavXIGLF8Xrs2iRcGRsbUWhvqQgfXpYv17sAI0aJVowbNsmjrySmIwZM+Ln50f16tXp1asXe/fuTbRqdPr06dmwYQP169dnxowZiQa9Dx06FB8fHxwcHLh+/br84ikxKiku5uXkyZPkypWLbNmy0bhxY2bNmkWOHDkSnKNUKlEaKTguVm5qlZ8UOlLSGhYvXsyNGzc4d+4carU6wfFXr15l5syZjB8/nkqVKhEQEJCo/IkTJ3L69GmOHDmCpaWlVms21OukOH0a027dwNKS6IsXxXFJdLRxr0NwMCbbtmG6di2/3ruHqlgxYhwdUTdujLpaNfhveriONhhsDaVLi0fv3uDhgeLYMUy2bUMxbx7mkyfz6y+/oH78GGXnzuLIyoB8t4YhQ1BYWWFqawvVqxO9fbtohmlIHRpQuHBhNmzYQIcOHZg6dSpTpkxJVH6lSpWYMmUK06dPp3HjxtSrVy9BHStWrKBGjRrMnDmTqVOnGnwN2pCS3pdSqvyk0GEsuQq1kcsjrl+/HkdHR41iXrZt24aFhQVFixbl0aNHTJgwgYwZM3LhwoU4i4uFhoaSJUsWfHx8UmYPGUmS8s8//+Ds7EyzZs0SDTL89OkTo0ePJmPGjMyfP1+jHZQTJ06wePFi7Ozs6NSpk6HM1hyVipK7dmG1dSvvypblj3HjUBoxpsMsLIx8Fy+S/8wZcv75J2oTE17WqsWz5s15W65cqmwrYBoRQZ7Llylw+jS5rl/HJCaGDyVLElSjBi/r1CFcw9o+umARHEyNuXPJ+OIFd+zseNymTbK8htu3b8fHx4eRI0fSqFGjRMfHxMQwefJkXr16haurK9kT2TnaunUrO3fuZOHChRQrVsxQZktSKZ8/f8bW1paQkBCDBnNr5byMHz+e+fPnJzjm7t27WP2ryZs2zst/efz4McWLF+fo0aM0adLku9/HOi9BQUGJ7s7oilKpJCAggGbNmiV45ptS5SeFjpSwhsjISOrVq0dERASXLl1K0JmNiYn5evZ/4cIFihYtmqj8o0eP0r59e3r16sWqVat0qqCr1+v06hWmffuiOH4c1bhxqKZM+S5+wiDXITwcxf79mPj6ojhyBJRK1A0aoOrWDXXHjigzZ/5x7qWqVUkTEIDJvn0ojhxBER6OqnlzVCNGoG7WTOf4mATX8OULJhMnYurpiappU2LWrBHBzIbUkQhqtZpBgwaxceNGdu3aRevWrROVHxQURJ06dShcuDBHjx5N0NmPioqidu3aqNVqLl68GG/Rxp/hfSmly08KHe/evSNv3rwGd160OjYaNWoUffr0SXCMIT3tYsWKYWlpycOHD+N0XmIxNzc32oVNKh1yDfrpGD9+PHfv3uXSpUuJBiNOnz6dgIAAfv/9d0qVKpWo/MDAQLp3707Tpk1ZvXq13mvU+nUKCBDxHAoFHDmCadOmJFS5Rafr8OaN6NuzdKkIuq1ZE+bPh27dUOTL9/8Fof63BfxD3Eu5c2PWt69othgRATt2YOLujknbtuLIydFRvO467urGuQZzc/Eat2uHSZ8+mFSpAqtXQ5cuhtOhAatXr+bDhw/06NGDgICAeANsY+UXKlQIX19fGjRowOzZs5k1a1aCNm3cuJHq1aszb968RGNlfoh7Sa4hQbnGQKs9y5w5c2JlZZXgw5Cl0f/555+vXptEEh+HDx/Gzc2NefPmUalSpQTH7tmzh9mzZzN79myaN2+eqOznz5/TunVrSpYsyY4dO4z+BvIN0dEwYQK0aCFqhdy4IboZG5J//hEf0oULg7s79O8Pjx6JQFdHR8iXz7D6Uirp0on4mKtXRfaUlRUMGiSaV06cKIrpGZLmzUV/pMaNRQBxnz6iCF8SYWZmxtatW6lRowZt27bl7t27ic6pW7cuM2bMYM6cORw9ejTBsZUqVWLy5MnMnTuXK1euGMpsieQrRjtwff78OYGBgTx//pyYmBgCAwMJDAwkLCzs6xgrKyv8/PwACAsLY8yYMVy8eJGnT59y7NgxrK2tKVGiBC1atDCWmZJUzrt377C3t6dFixaMHDkywbH37t3Dzs6Ozp07M27cuERlf/jwgVatWpE2bVoOHDhAxqSsGfL8ucjcWbBA1DI5dAhy5zac/AcPwMEBihUT2Thjx8KzZ6KlwM8cp6BQiMaLu3fDw4fCoVm6FIoUEbswhvwgzpEDduwQGUk7dgi9hnaSEiBdunTs3buXfPny0b59ez58+JDonPHjx9OkSRN69eqVaD8jFxcXKlasiL29vUadqiUSbTCa8zJlyhQqV67M1KlTCQsLo3LlylSuXPkbL/z+/fuEhIQAopnYzZs3ad++PaVKlaJfv35UrVqVM2fOyJQ7Sbw4OjoSFRWFt7d3gqmfX758oWvXrhQoUABvb+9EY1YiIyPp0KEDr1694tChQ0mbvu/vL2qS/PMPnD4N48cbLrDz5k3o0UPsLOzfLxyjZ89g2jTxYSr5f4oVE7tR//wDCxeK8v/Vq4sie6dOGUaHQgH29nD2rCi8V726qFeTRGTJkgV/f3/evXuHjY0N0Ymk25uYmLBp06avrTFUKlW8Y83NzdmwYQMPHjxINPNIItEWozkv69evR61Wf/do2LDh1zFqtfprDE369Ok5fPgwr1+/JioqiqdPn7J69WpyG/LbpuSHYv/+/WzevBkPD49EjxbHjRvHgwcP2L59O5kyZUpwrEqlwt7ensuXL7Nv3z5++eUXQ5odP2q1cCasrcWuy/Xron6KIbhwAdq1E8dPFy/CsmXw5AmMHg2JvB4/PZkziyO0Bw/EjkxUlCi+17kzPH5sGB2VKwunpVAhsQPj62sYuRpQvHhxduzYwbFjxzTakcyTJw+bN28mICCABQsWJDi2XLlyTJ8+nYULF3Lx4kVDmSyRyMaMktTJx48fGThwIK1atUq0Mm5sc8ZFixZRrly5RGXPmDGD7du3s2XLFuoYynlIDKUSBgwQ8RXTpokPSUMUM/v7bxEMWqeO+KDdtElUpB00KOkKyf0omJpCx47C+du8WTS+LF0axo0Txfr0JU8eUam4c2ewsYEpU0QF4SSgSZMmuLm54ebmxsaNGxMd36xZM8aPH8+kSZM4f/58gmPHjBlDtWrV6NOnD1++fDGUyZKfHOm8SFIlY8aM4dOnT4mmLQcFBdGnTx/atm3LkCFDEpW7f/9+pk+fzowZM5KulktoqKiWu369eEydqn8Ze6VSHHWULi0aI27eLAJEe/XSrOy+JH5MTETJ//v3RUD10qVQsiSsWSP6O+lDunTCwZwzB2bOhG7dIDzcMHYnwvDhw/ntt99wcHDgkgZtJmbMmEHNmjXp0aMH79+/j3ecmZkZ69ev5+nTpxp3t5ZIEkM6L5JUR0BAAF5eXri6ulKwYMF4x6lUKvr06YOZmRnr1q1LNM7lxYsX9OnTB2trayZMmGBos+Pmn3/g11/Ft/hDh0T8g54ozpwRxxDjx4vsoXv3xIdtKiwql6LJkEE4mn/9JbKHBgyAKlVQnDypn1yFAlxcwM9P3BO//iruEyOjUChYvnw51apVo2vXrrx79y7B8bEZS58+faJfv34kVDKsdOnSzJo1Czc3N86ePWto0yU/ISmuPYBEkhAfP37EwcGBxo0bJ1pFd+HChRw5coQjR46QM2fOBMd++PCBuXPnkidPHjZu3Jho3xeDcP68SJM1MxO7I2XL6ifv4UOqurpidvasaIx49aoI/E0JqNVih+nduwQfplFRVP7wAZPffxexOBYWwkn477+ZM4vdjjx5kqzZYrwUKCB2S4YPB0dHzJo3p2a1aihy5xZdpXWlQwdxX7RrJ7pkb9kCCdS7MgRp06Zl165dVK9enTlz5tChQ4cEK+oWKlSIdevW0bFjRzw8PHBycop3rJOTE35+fvTp04dr166RXtNmnRJJHEjnRZJqUKvVDBw4kJCQENauXZvgTsqhQ4dwcXFh4sSJNGvWLEG5X758oVOnToSEhPD7778btApknKjV4OEBY8aIYnA7dujXX+fVK5g5E7PVq8mRJQvRa9Zg9ttvybPTolKJFOPr18UjMFAcV71+HXfjyHTpRJZT7MPMjAyvXmHy4YOoe/L5szg2+fwZ4kq3zZLl/xszWlmJYzIrK5EplNTHYzVqwLlzRPv4kGHcOMxq1xbxRu7uwsHRhYoVRSCvrS00ayaOqaZNM6jZ/yVPnjzs3r2bhg0b0rVrVw4ePJhgxmeHDh0YM2YMo0ePxsrKilatWsU5ztTUlI0bN1KlShX69evHli1bjLUEyU+AdF4kqYbff/8dPz8/du/eTZEiReId99dff2FjY0Pbtm2ZMWNGgjJjYmLo2bMn165dY9q0aUbPLDL7/BnTHj1EQK6zM8ybp/uHbGioqMvi5gbm5qhmzuRosWK07NgxaRyXyEi4dev/nZTr10UhvdgYjfz5xfFV376i2F2OHGBp+a2z8p/qtTFKJWcPHqR169bfFwSMjoYvX4T89+/Fcc29e///8PP7/8BZMzPRsNLKSuxCNW8umiEa+3VRKFB368bx9Olp8/EjZhMmCIdq1iwYOvS7lg4akTs3HDkiKh5PmQKXL4OPj+Ft/xeVKlViwoQJzJo1i549e+Lr6xtnf7lY5s6dy927d7GxseHChQuUKVMmznHFixfH29ubzp07U6dOHdn7SKIz0nmRpAoCAwNZt24dQ4cOpWPHjvGOCwkJwdramnz58rF58+YEj3/UajUjRozA39+fnTt36tSvSCv+/JMGo0ej+PQJdu4UWSW6sm+fyBh6/x5GjIDx41FlzIjq4EHD2RsXDx9SfO9eTBctEunX0dHi2OaXX4SjYm0t/q1UCRI5qtMaMzNxlJQpkzgu+u8HpFotdqFinZm7d+HOHZg+XWQE5coFzZqhaNyYtMa+1qamqHv3hk6dRAaZk5MoBrhypajlooM8JkwQx1CdO2NWvz4Wjo4GN/vflCtXji1bttCtWzcGDRrE6tWr4/0bMTU1xcfHhzp16tCuXTsuXbqEpaVlnGM7deqEo6Mj48aNY/bs2XH2VpJIEkWdigkJCVED6rdv3xpNR1RUlHrPnj3qqKioVCk/KXQYW35oaKi6RIkS6mLFiqk/ffoU77jo6Gh1mzZt1FmyZFHfv38/UbmzZs1SA+o1a9YY/zps365WpU+v/li4sDrq1i3d5bx5o1bb2qrVoFa3aqVWP3v29VdGWUN0tFp97pxaPW6cWl26tFoN6ug0adQxrVur1Z6eavWFC2p1WJjB1BllDRERavXx42r1+PFqdZUq4rUDtapsWbXa2VmtPnRIrQ4PN5i6ONdw8aJaXamSWq1QqNXDhqnVHz/qruDuXbWqeHF1RJYsauXp0/obHAf/XsOGDRvUgHr8+PGJznvy5Ik6Z86c6vr16yd4DSMjI9U1a9ZUW1paqoOCggxp+lfke2vK0PH27Vs1oA4JCTGoXJl+IEnRqP/XATc4OJgxY8YkePY+ZcoUfv/9d7Zt2/Zdw8X/4u3tzaRJk5gxYwb9+/c3tNnf4u4O3bqhbteOMwsWQCK2xYlaLQqXlSkDv/8uvsUfOCCKmhma8HDYuxf69RPHPXXrwrp1UKsW0Tt28PvGjcTs2SOOQWrVEgG0KZm0aaFRI5g7F65eRfniBVecnVFXrQrbtkHLlqKmTuvWIv7IGKXsa9YUsSuLFoG3tzhK2r5dXFdtsbIi+swZwvLlw7RZM6MXtLOzs/vaO8zNzS3BsUWKFGH37t2cP38+wYy9NGnS4OPjQ2RkJIMGDUowU0kiiQvpvEhSNN7e3vj4+LB8+fIEq+hu376dOXPmMG/ePFq2bJmgzIMHD+Lg4MDAgQOZNGmSoU3+f1QqcVzg7AzjxhGzcSMxurS6ePlSFEezsRHVV+/cET13DHn0oVbD0aPiKMvSUmS6nD8vGgaePQtBQbBuHWpra2JSe3G7nDl5Ub8+MV5eIgX59m3h2Hz8KOqqFCggrtnt24bVa2Ym7oe7d4Uz0727cJh0qdJracn5GTNQxxa0mzVLN0dIQ5ycnBg3bhyjR49m3759CY6tV68e8+fPx9XVlb1798Y7rmDBggwZMoS9e/eyfv16A1ss+dGRzoskxXL79m2GDRuGg4MD3bt3j3dcYGAgffv2xdbWltGjRyco8/Lly3Tt2pV27dqxbNky48W5RESID6fFi8HTUwTmahssqlaLHY8yZURV1507xcOQfZZCQ4V9ZcqIbJYHD0RxtPv3xYfs/Pli5yWBYM1UjUIh1u7kJJy127fBzk6kPpcrJ4J9vbzg0yfD6SxYUAQX790rHNGyZYXzlEhfof+iMjcnxttbxPRMnixqBBmxAeKcOXOwtrbG1taWP//8M8GxTk5OdOzYEXt7ex4n4JzVrl0bOzs7RowYkeA4ieS/SOdFkiL5/Pkz3bp1o3jx4nh4eMQ77v3793To0AErKyu8vLwSdEYePHhAmzZtqFy5Mj4+PglmT+jF+/fCEdi/X2QVDR2qvYynT6FFC3F0Y20tPuT0CfD9L3fvwrBhIiPI0RHKlxfNBm/cEP2OdDna+hEoU0Yc7bx4IY6QsmQRxefy5hXX4sIFw+1wtG8vnKVhw2DSJGjcWPtidAqFyEDy8RHHR82aiZo5RiC2KWOJEiVo164dr1+/TsAsBevWrSNHjhx07dqViIiIeMe6ublhaWmJnZ0dMfpWKJb8NEjnRZIiGT16NE+ePMHX1xeL/6TTxqJWq+nbty+fPn3Cz88vwaJXHz58oE2bNuTMmRN/f3/jFch69kx0Hb57F44fF8cv2qBWi6aJ5coJGQcPwoYNhulzFB0tvvE3aSI+pHfuFDsOz56J+Iv69ZO/4FtKIU0aUaPl0CHhSI4dC8eOiR5R5cqJNg5a7pTEScaMoo3DyZOiUWbFiiKTTFt69BD32927Ig7pr7/0ty0OMmbMiL+/PxEREXTs2JHIBHZ6smbNys6dO7l9+zbOzs7xjsucOTObNm3iwoULzJ8/3xhmS35AjOa8PH36lH79+lG0aFHSp09P8eLFmTp1KlFRUQnOi4iIYOjQoeTIkYOMGTPSuXNngoODjWWmJAVy+PBhVqxYgaura7z1IgAWL16Mv78/69evp1ACgavR0dH06NGDt2/fsm/fvgQrhurF1avigyMiQhxB1K6t3fz378XuyrBhIqbl9m2Ip+CXVrx7J3rlFCsmUncjIsQ39efPYcYMsfsiiZ9ChcTuxuPHot5KyZKidk3p0iL41hBHNb/+Kmrl1KsndmRGjhQ1bbShbl3RZsLcXNyHx4/rb1ccFCxYkD179nD16lUcHBwSDLatXLkyS5YsYcWKFQkWpatXrx7jxo1j6tSpXL161RhmS34wjOa83Lt3D5VKxapVq7h9+zbu7u6sXLky0Z4xTk5O7Nu3jx07dnDq1ClevnyZdA3yJMnOy5cvsbOzo0WLFgwePDjeccePH2f06NE4OzvTrl27eMep/1eV99ixY2zfvp3ixYsbw2yR/VOvnohnuHBB+2OXw4fF0c2JE7BnD6xYIUrg60NQkKjiW7iwiGNp2lQ4WOfOiW/qadLoJ/9nw8REHMvs2QPXrondq99+g6JFRUzThw/6yc+RQ8hevBhWrRK7MNr2ASpWTDjO1aqJY8e1a/WzKR5q1aqFt7c3mzZtYty4cQk6MA4ODtjZ2dG/f/8EGz5OmzaNSpUq0bVr1wQbPUokYETnpWXLlnh7e9O8eXOKFStG+/btGT16NLt37453TmzZdzc3Nxo3bkzVqlXx9vbm/PnzXLx40VimSlII0dHR2NjYYG5uzqZNm+KNX3n48CFdunShSZMmiW4zT5o0iXXr1rFu3TqaNm1qeKOVStHTxt5eOASnT4uKqJoSHi5iYlq2FMcRt26JGBd9ePZMyCxaFFavFjEtz5+L4N8qVfSTLRFUrvz/Abdt2oiS/QULih2TJ090l6tQiKKDgYEi66t+fSFTm87SWbOK48b+/cVj0iSjZCL16NEDDw8PFi5cmODfoUKhYNWqVVSpUgVra2uePXsW57g0adKwY8cOQkJC6NWrFyqVyuA2S34ckrTCbkhISIJb9levXkWpVH7zIWNlZUWhQoW4cOECteJpcqZUKlEqlQa3N1b2v/9NbfKTQoeh5Lu4uHD+/HmOHTtG1qxZv5EX+/+3b9/Stm1bLC0t2bx5M2q1Ol69y5YtY86cOcyfPx8bG5sE7dNpDR8+YNq1K4oLF1AtXYpqwADx4ROPjP/qUFy8iOlvv8GLF6iWLEE1cGCC8xMj+vZtKi9Zgtnp06izZEE1YQKqwYPFh5lQrJPchNZgaFLd30OJErB8OUydismKFZisXImZpyfVatUiJls27Y8OYyleHI4fx2TZMkwmT4Z9+4hZtQp1w4aar2HxYkyKFMF0/HhUjx4Rs2aNqHmjAZq+RkOGDOHt27e4uLiQKVMmBgwYEOc4U1NTduzYQb169WjTpg2nTp36Gnf2bx358+dn48aNtGvXjmnTpjF58mSN7NVnDfog/x40l29oFOokqg708OFDqlatiqura7zdgH18fOjbt+93QWA1atSgUaNG33n3oaGhZMmSBR8fn3iDOiWpg8uXLzNnzhz69OlDh3iC84FaRAAAkRVJREFUXGNiYpg9ezb3799nwYIF5E8gVuPs2bMsWrQIa2tr+vTpY3B70715Q+2ZM0n34QOXJkzgfenSGs9VKJVY+fpScvduPpQsybWRIwnPl09nWzI/eUKpnTvJd/48kVmz8qBjR541b57667GkQkwjIyl4/DjF/f3JGBTE64oVuW1vT6gePXwyBAVRydMTy9u3edKyJXfs7YnWIuA837lzVPHw4EPJklwePx6lgRuPqtVq1q5dy4EDB3B2dubXX3+Nd+zff//NuHHjsLKyYuLEifFm/Pn6+rJt2zYmTZpE1apVDWqvJGn5/Pkztra2hISEGLTprdbOy/jx4xPdqr979y5WVlZff37x4gUNGjSgYcOGeHl5xTtPV+clKCiIHDlyaLMMjVEqlQQEBNCsWbPvG8WlAvlJoUNf+U+ePKFmzZrUr1+fHTt2xHlcpFQq6dGjBwcOHGDfvn0JHgEdO3aM9u3b061bN9auXZtgfyOd1nD7NmZt24KZGdH79onmfxqgVCq56OVFw7VrUdy5g2ryZFRjxujWrA/g+nVMZ8zA5MAB1EWKoHRy4nDevDRp0+anvZdSgg6lUknAoUO0jIwkzfTp8NdfqHv1Imb6dN27S6tUmKxahcmECZA/PxGbN3Pk5UuN16C4cAHTzp0hWzai/f3Fzk5ia9DiNVKpVPTr1w9fX1927doVb2dpEH+fbdu2ZcCAAbRo0SJOHSqVik6dOnHhwgUuXrxI0aJFE7VB3zXogvx7SJx3796RN29egzsvWr9rjho1KtFvsv/uFPry5UsaNWpEnTp1WL16dYLz8uTJQ1RUFB8/fiRr7FY3EBwcTJ4ECnOZm5sb7cImlY6fdQ0RERHY2tqSPXt2NmzYQJp4gki9vb3x9/fHw8MjwTfGa9eu0bVrV5o2bYq3t7fW9iS6hjNnRDZI4cJw8CDmmu6YxMRgsnQpDSZNQlGqFIrLlzGtXBmdKs28fi2a9K1bJwKDN2xA0aMHCkB18OBPey+lKB2mpph06YKia1dYswbF1KmY7Nz5tdoymTJpL3PECBEb1aUL6Ro0oKCDA+Zxdd+Oi/r1RaHDVq0w//VX8PfX6EhLm9fI29ubT58+0b17d44cORLvDkzLli1ZtmwZgwYNIjo6Ou4O4sDmzZupVq0aNjY2nDt3TufyBqn+XkoC+cbUYSy7tQ7YzZkzJ1ZWVgk+Yj+AXrx4QcOGDb8G3ib2Dbhq1aqYm5tz7Nixr8/dv3+f58+fU1vXs2NJisbZ2Zlbt26xc+fObxzWf3PmzBmGDRuWaAbSw4cPadWqFWXKlGHHjh2G/6PZvVtkm1SpIgq6aeq4vH8Pbdpg4uLC47Ztib54UQR8aotSCR4ewmHZvRuWLhUBvnZ2Ij1WkvIwM4PBg+HhQ1FTZ9EiESezapVudWJKlYKLF1F360aVJUswHThQ85Tq4sVFJpyVlSiIt2uX9voTwNzcHF9fX2rXrk3btm25nUB7hYEDB+Lo6MjatWs5cuRInGOyZcvG7t27uXv3LkOGDJH9jyTfYLRso1jHpVChQri6uvLmzRtevXrFq1evvhljZWXF5cuXAciSJQv9+vXD2dmZEydOcPXqVfr27Uvt2rXjDdaVpF58fHxYsWIFS5YsoXI8H+ZPnz6lU6dO1KlTBwcHh3gzkF69ekWLFi3Ili0bBw4cIIOhmwUuXy6KlnXsKDI5smTRbN6NGyJt9coVYg4e5E6fPqBLLMrRoyJ11tlZZDX99ZfIKNL1yEmStGTODLNni+vWsiUMGgQVKojmmtp+KFtYELNmDdeHDUOxdavYQXn4ULO5OXJAQIAonti1q3CmDOgUpEuXjj179lCoUCHatm2bYBXeuXPnUrlyZezs7Hj69GmcYypWrMiqVatYv349a9asMZidktSP0ZyXgIAAHj58yLFjxyhQoAB58+b9+ohFqVRy//59Pn/+/PU5d3d32rZtS+fOnalfvz558uRJML1akjq5e/cuAwYMoHfv3vEGcH/69In27duTOXNmtm3bhlk8H9ShoaG0atWKiIgIDh8+jKWlpeEMVath4kThKDg6wpYtGmdssGWL+GDJmhWuXEHdpIn2+p88EYXlmjUTqbPXrokaMIZcoyTpKFhQVEy+elWk1LdtK+rvXL+utajnTZsSfeaMSKOuWlXsxmlCunTi3nRxEa0ghg41TLXg/5E5c2b279/Ply9f6NChQ7ytAUxNTXFyciJr1qx07tw53nF2dnYMGjSIESNGJNpTSfLzYDTnpU+fPqjV6jgfsRQpUgS1Wk3D/6X/gfDcly1bxvv37wkPD2f37t0JxrtIUh/h4eF06dKFIkWKsGLFijh3U1QqFb169eLp06f4+/vHG5AdFRVFx44defr0KYcPH6Zw4cKGM1SpFP1s5swBV1dwc9OsuaJSKRydXr3Et9tz56BIEe10f/4sqrqWLg2XL8PWreKoqlIlHRYiSXFUqSIq4O7bJ7qGV6smHAltq+pWrCgcoebNRXVmJydIpIo5IO7j2bNF08nVq8W9asCU1sKFC7N3716uX7/Ob7/9Fu+RT8aMGdm2bRt37txh2LBh8cpzc3OjZMmS9OjRgy/avkaSHxLZ20iSpKhUKvr27cuzZ8/YsWNHvMc7Li4u7Nu3j61bt1K2bNl4ZfXv358zZ87g7+9PuXLlDGfou3fQujVs3iweo0ZpNu/JE2jQQPQnWrpU9MDRJtAwJkbEQ5QoAQsWiA+0+/fBxkb2HfrRUCjEzsuff4qu0p6eosO0tr2NMmcWvaliO5jXqSN6HGlCv36iAeXu3eIoKSxM62XER82aNdmwYQNbt25l/Pjx8Y6rVKkSK1euZO3atSxdujTOMenTp2fbtm08evSIYcOGyfgXiXReJEnLtGnT2LlzJ5s3b6Z0PLVRvL29WbBgAa6urrRp0ybOMWq1mtGjR7N582Y2btyYYG0Jrbl3D2rUEFVOjxyBnj01m+fjI3ZGgoJEpd1hw7RzOK5dEz1pBg0SzRPv3oVZs8DQ8TuSlIWZmWj8ePOm6JvUvr1wah490lxGbGXe8+eFA1KlinBkNPmQ79hRxN6cOQMNG8K/4hL1pVu3bri7u7NgwQLmzZsX7zh7e3ucnZ1xdHRk//79cY4pW7YsK1asYN26daxatcpgNkpSJ9J5kSQZe/fuZebMmcyePTveQnSnTp1i4MCBODg44OTkFK+sBQsW4O7uzpIlS7CxsTGYjYrLl0WPonTp4I8/xJt5YoSGioyfnj2hXTvh9GiTHRcWJgJxq1cXTf7On4dNm0R5f8nPQ6lSoov1rl1iN6ZsWXF0+K+YwESpXl04wf37i7YVPXtq1lqgWTPhcL98Ke7de/d0X8d/cHR0ZOrUqbi4uLBixYp4xy1YsABra2u6d+/OtWvX4hzTp08fhg0bxogRIzh37pzBbJSkPqTzIkkSHjx4gJ2dHR07dox3C/nhw4d06tSJevXqsWzZsngzi9auXcv48eOZMmVKgufk2pLr6lVMmzcXqaRnz2oWp3L5skh73rNHOBybN2ueiQSi3kaZMrBypTg6uHpV95LyktSPQiECtO/eFUeG8+eL+2PPHs2zgiwsxJHltm3i/qpVCx48SHxepUqiFkyGDJg1aED2BFKdtWXq1KmMHDmSoUOHxttd2tTUlM2bN1O2bFnatm3L33//Hec4Nzc3atWqRZcuXXj58qXBbJSkLqTzIjE64eHhdOrUiTx58rB+/fo4nZKPHz/Srl07cuTIwc6dO+Ot0bJ3714GDBjAoEGDmDZtmsFsVGzeTM05c1A3bixSSbNlS3ySl5fYpcmZU2SL9OqlucJ//hEfUtbWoiHj7dvi6EDWa5GAcEBmzRJ1fMqUEUc7rVtr5oTE0r07XLokdvOqV9cslqZQITh7FnWFCtSZNg3Fzp26r+FfKBQK3NzcsLe3x97enn3x2GJhYYG/vz9p0qShTZs2hIaGfjfG3NycHTt2YGpqSpcuXb6ryC75OZDOi8SoqNVqBgwYwOPHj9m9e3ec5aGVSiXdunUjODiY/fv3x9u88/bt2/Tq1YtOnTrh6ekZ786M1ri6Yvbbb/zdqBEx27cnHmCrVIp4FgcHsT1/+nSi5da/EhODiaenyCK6cEEEWh44II+IJHFTsqS4P/buFUc55crBzJmapzaXLfv/x5/t28PkySIoPCGyZiVm/35e1q6Nma2twWrBmJiYsGbNGqytrenatSunTp2Kc1yePHk4cOAAz549o3v37kTHsdbcuXOza9curl69ysiRI/W2TZL6kM6LxKgsW7YMHx8f1q5dG2fWkFqtZuTIkZw4cYKdO3dSqlSpOOXcuHGD2bNnU6dOHTZv3hxvQzetUKnE1vyYMcSMH0+gJkXf3rwRaamrVomjnuXLIZ6WBt9x7RoNxo7FZNQoESNz755IpZZZRJKEUCiE43Hnjrhfp03DtGFDMrx4odn8LFlENtHs2eLRtq2o+pwQadNyzdGRmDFjhM6RIxN3ejTAzMwMHx8f6tevT8eOHXkQz05S2bJl2bVrF0ePHo03u6hmzZosX76cVatWyQJ2PyHSeZEYjfPnz+Pk5ISjo2O8QbWenp6sWLGC5cuX07hx4zjHPH78mLZt25I3b1527txJWk2LxCWEUgn29qJ2y5IlqGbMSNyJCAwU2+937sCJEzBwoOa6XFwwq1MHRUwMMWfOiFRqbWJjJJL06YXzce4civfvaejkhMnKlZrtipiYiH5Yhw6JOK1q1RIvjGdigmr2bOGgL1smHG0D1FhJmzYtfn5+lC9fnhkzZnDnzp04xzVt2pSVK1eyatUq3Nzc4hzTr18/Bg0axLBhw7h48aLetklSD9J5kRiF4OBgunbtSq1atViwYEGcY37//XccHR1xdnaOt8ruq1evaN68OZkyZWLy5Mlk0qWh3X8JDxffZH19RVDj8OGJz9mxA+rWFeXVr1wRsS6a8PChmOfqimraNE65uqKuUUM/+yU/N7VqEf3HH/zduDGmI0ZAq1ag6S5M8+YiKDxrVlEPZuPGxOcMHiwChg8fFvM/fdLHegAyZMjA3r17yZ49O9bW1t+0jfk3/fr1w8XFhTFjxrArnl5Mixcvplq1anTu3DleOZIfD+m8SAxOdHQ03bt3R6VSsX379jiDb2/dukX37t1p3bp1vM5NSEgIrVq14vPnzxw8eDDexo1a8fataEp39iz8/jt065bweJUKJk0S4zp0ELUwChZMXI9aLcrAV64MHz7A+fOoxo9HLXsRSQxBhgzcHDSI6H37RH2Y8uWFM64JRYqIqs82NmL3cejQxKvytmsn+mvdvCkcmI8f9V0BWbNmZdKkSURFRdG+fftv2sT8m1mzZtG1a1fs7Oy4efPmd79PkyYNO3fuRK1W07VrV6I0qTAsSfVI50VicMaNG8fZs2fZvn37N72sYnn16hXt2rWjSJEi+Pj4xBm/8vnzZ6ytrb+W/S+ibXn9uHj0SOyYPH0qSu0n1mvo/XuxQzNnjqh2u3mzyAJJjDdvxAdDnz6imeO1a+K4SSIxMOoWLURNmGbNxD1nYwPBwYlPTJ8e1q0TcVtr1kCbNonHwdSuDceOiYrPTZuK+1xPcubMyZ49e7hz5w62trZxBueamJjg7e1NyZIl6dixI2/fvv1uTOyR8qVLlxg5cqSswPsTIJ0XiUFZvXo1bm5uuLm5xVn19uPHj7Rs2ZKoqCj27dsX5zFQVFQUnTt35sqVK+zfv5/y5cvrb9i1a+LNV6US3zqrVEl4/Llzou7FhQuii/SYMYnHxKjV4ttvmTLiW+rWreDtDYY46pJI4iNHDnH86eMj7rvSpYVjktgHuEIh4raOHPl/BzuxxofVqol4r3/+EcdO2lQBjofKlSvj6+vLgQMH6NevHyqV6rsxFhYW7Nmzh7CwMKytrePsb1SnTh2WL1/OypUrWbZsmd52SVI20nmRGIyjR48yZMgQhg4dyvA44kgiIyOxtrbm+fPn8TZRVKlU2Nvbc/z4cfz9/albt67+hh0/LlJFixYV1WtLlIh/rFotCnw1aACFC8ONG9CyZeI6Xr0SjfFsbISuO3fE/yWSpEChgB49RAZbu3aiZ1HTpsLJSIyGDUUcV8aMwsFPrLZLxYrCqTcxEeP/+ENv89u0acPGjRvZtGlTvDsnRYoUYd++fVy/fp3evXvH6eT0798fR0dHHB0d403FlvwYGM15efr0Kf369aNo0aKkT5+e4sWLM3Xq1ETPIxs2bIhCofjmMWjQIGOZKTEQf//9NzY2NjRv3hwPD4/varCo1Wr69+/PpUuX2L9/f5xNFNVqNSNGjGD79u1s3bo13uwjrdi1SwQ0xm55W1rGO1ShVGIydKjoETNypPiGWaBAwvLVahH0WKaM2K3ZsUM8cufW33aJRFssLUWs1ZEj4ninQgWRJp0YsY5927bQtSsmidWDKVpU3O/Fiwvn5+BBvU3v0aMHK1euxNPTk8mTJ8c5pkaNGmzdupXdu3czduzYOMcsXLiQhg0bYmNjQ7AmR2iSVInRnJd79+6hUqlYtWoVt2/fxt3dnZUrVzJhwoRE5zo4OBAUFPT1EV9ApyRl8ObNG2bOnEmhQoXYtm0bZnEEpc6aNYvNmzezYcMG6tSpE6ec6dOns2zZMlatWkWnTp30N2zVKpHe2amTqC6aMWP8Y9++pc60aZhs2CC23Bct0qzmS/v2IuixTRux29Kli/52SyT60qyZCK5t1EjsCA4YkHiPowwZxFHn/PmYLFhAzTlzEg7MtbQUXwiaNhV/B+vW6W32gAEDWLhwIbNnz473fd/a2hoPDw8WLVoU5/GQmZkZvr6+ZM6cmblz5xKuSW8nSarDaKkPLVu2pOW/ttuLFSvG/fv3WbFiBa6urgnOtbCwIE+ePMYyTWJAoqOjsbW1JTIykj179sRZQXfr1q1MmTKFmTNn0r179zjleHp6Mn36dObOnUv//v31M0qtFvUwJk8WlXAXLxZb3PFx+zZm7dqR6f17Yo4cwUyTZoynToGtrajhsm+f+MYqkaQksmcXR0BeXuDoKCpB+/gkHO+lUMDYscSULUv27t0xq1NHVPctUybu8RYWYndz+HBxVPXPP+LvTo/Ci6NHjyYkJIRx48aROXPmOHfeR4wYwdOnTxkxYgQFCxakffv23/w+ts1I3bp16d+/Pzt27DBcRW5JiiBJY15CQkLiLf3+b7Zs2YKlpSXlypXDxcUl3hQ6SfIzduxYzp07x9ixYylUqNB3vz937hx9+vTBzs6OiRMnxinDx8eH4cOHM2rUKMaNG6efQSqVOPKZPFmUUV+yJGHHZf9+caSUIQOnFixAnViMTUyMkNu4segCHBgoHRdJykWhEG0srl4VjkatWmJXMY54kX+jbt6c066uonp0zZqizkt8mJmJQnazZsHUqSIIWNP2BfEwY8YMRowYwZAhQ/Dx8YlzjKurKx06dMDGxoY/4oi7KV++PCNHjmTXrl3MnTtXL3skKY8kKzrx8OFDli5dmuiui62tLYULFyZfvnzcvHmTcePGcf/+fXYncG6rVCpRKpWGNvmr7H//m9rkG1PH1q1bcXd3Z+HChZQsWfI7+Y8fP6ZDhw7UrFmTZcuWxZkGeejQIezt7bGzs2POnDlxjtF4DVFRmPbrh2L7dlTLlqFycIj/TVStxsTNDZMJE1C3bUuElxdfLlxIWH5QEKZ9+qA4eRLVpEmoJkwAU1Ox+6IB8l5KfvlJoSNFrqF4cTh9GpMpUzAdPRrVoUPErF0LcZQyiJUbnjcvX44fJ92gQZh07EjMpEmoJk2K/8vA2LEo8uTBdOBA1C9eELN1a4J9whJbw4IFC/j48SN2dnakS5eOdu3afTfG29ub5s2b07ZtW86cOUPRf/UIUyqV1K5dGxcXFyZNmkSZMmVo06ZNvPbowk95L+ko39Ao1FomxI8fP5758+cnOObu3btYWVl9/fnFixc0aNCAhg0b4uXlpZWBx48fp0mTJjx8+JDi/2l+FxoaSpYsWfDx8cFCk/obEoPx+PFjxo8fT506dRg5cuR3W7JhYWGMHz8elUrFvHnz4jxOunfvHlOmTKFSpUqMGzdOr35Fpl++UGP+fHLcusVVZ2eC4omrATBRKqm4fDmFTpzgry5duGtrm/DuDJAzMJAq7u5gYsJVZ2feGiJ9WyJJBnJev06VJUtQxMRwfdgwghOr+KxWU2rnTqx8fAiqWZOrTk6oEmjRkevaNarPm8f70qW5PGECMXq084iJicHV1ZUrV64wadIkKlas+N2Y2CMmMzMz5s2bR8b/xLbFvgf9+eefLFy4kAKJBeFLDMrnz5+xtbUlJCQkzs8BXdHaeXnz5g3v3r1LcEyxYsVI879mdS9fvqRhw4bUqlWL9evXY5LIh8R/CQ8PJ2PGjBw6dIgWLVp887tY5yUoKIgcOXJoJVdTlEolAQEBNGvWLM5KsSldvjF0vHv3jjp16pAlSxZOnTqFmZnZN/KVSiVt27blxo0bnDlzhpIlS34n488//6RJkyaUL1+e/fv3kz6RTs4JruHtW0ytrVHcvUvMrl2oGzWKX1BwMKZdu6K4fp2Y1atR9+iRsPzoaEymT8dkwQLUTZsS4+0NuXJp/FppvAYDkBrvpaSWnxQ6UsUa3rzB1MEBk4MHiRk0CNWCBZAuXYLyFfv2YdqrF+rKlYnZvVvE1MSD4vRpTK2tUVetSsyePXEGy2u6hsjISDp37sz58+c5ceJEnA7MX3/9Rf369SlXrhwHDhwgbdq038iPiIjg119/RalUcu7cOcNU69ZiDSlVflLoePfuHXnz5jW486L1sVHOnDnJmTOnRmNfvHhBo0aNqFq1Kt7e3lo7LgCBgYEAcVZqjcXc3NxoFzapdKSWNcTExGBvb09oaCjHjx8nc+bMX7cFzc3NMTMzY8iQIZw9e5ajR49SJo5AvydPntC2bduvdRu0uaG/W0NQkKiU+/YtnDyJWdWq8U8ODBRZEUolnD6NWRzfOL+R//ffonbGxYswZw6KsWN1uocTXYOBSS33UnLKTwodKXoN+fKJeK/lyzEdNQrTa9dE4O1/diW+kd+pE5w4gaJNG0waNhTtNeKrfN2kCRw+jKJVK0zatYMDB+JtRJrYGszNzdm1axcNGjTA2tqaixcvUvA/LTrKli2Lv78/TZo0YcCAAWzevPmb+RYWFuzdu5fq1atjb2/Pvn37DNOZXsM1pHT5xtRhLLuNFrD74sULGjZsSKFChXB1deXNmze8evXqm8ZZL168wMrKisuXLwPw6NEjZs6cydWrV3n69Cn+/v7Y2dlRv359KlSoYCxTJVrg5OTEsWPH2LZtW5wl+6dNm4aXlxdeXl7Ur1//u98/ffqUxo0bkyFDBg4dOkQWfTorP34syv2HhopeRQk5Lnv3irE5c4qiWgltlcfWbilfHp4/F5lF48cnerQkkaQqFArR1+jsWXj5UvThSqxeS82aoh5MVJT4Gzp7Nv6xdetCQADcvi1qwQQF6WxqxowZOXDgAObm5jRv3pw3cbQmqFu3Lps2bWLbtm1xJgeUKFECX19fDh8+jKOjo2whkMox2rtxQEAADx8+5NixYxQoUIC8efN+fcSiVCq5f//+12yiNGnScPToUZo3b46VlRWjRo2ic+fO7Nu3z1hmSrRg8eLFLF26FE9PT5o2bfrd75cuXcqMGTOYP38+dnZ23/3+5cuXNG7cGFNTU44fP05ufQq53bwp3hzNzESxrFKl4h6nVsPChdCxI7RoIdJFEzrzDg8HOztRu6V9e1Fh1xBVfiWSlEq1anD9unBM2rQRrTASKiZaqhRcuiTSpxs3Fr2R4qNmTfE39+aNaCfw1186m5knTx4CAgL48OEDLVq04GMcNWi6du2Kq6sr8+bNY9WqVd/9vnnz5ixfvhxPT08WLVqksy2S5MdozkufPn1Qq9VxPmIpUqQIarWahv+rq1GwYEFOnTrFu3fviIiI4MGDByxYsMCg52QS3di7dy9OTk6MHj06zroLJ06cYNSoUYwdOzbOypfv37+nefPmKJVKjh8//t22r1acPQv164ut7zNnRBn/uIiKgv79YexYsXOyY4coxBUPGf/+W9S18PMT9TA2boRs2XS3UyJJLVhagr+/SKP28MC0USMsEqpOa2kpdlUcHEQBvOHD48+6K19e7NakTy++CFy6pLOZJUuWJCAggGfPntGmTZs4C9A5OTkxYsQIRo4c+XVX/98MHDiQCRMmMGbMGLZv366zLZLkRe6DSxLlypUr2Nra0qlTpzgzzQ4dOsTSpUv57bffmDdv3ne/DwsLo02bNgQHBxMQEBBnPRhNURw8CM2biy3uEyfiD559906M27RJlEufMyfBYx/F1q00GDNG/PDHHyLWRSL5mTAxAWdnOHcOxdu3NHRyQpFQawFzc1i2DFasEN2pW7YUf3dxUaiQ+NJRsqTYrdGjnUD58uU5dOgQN2/exNramoiIiG9+r1AocHNzo3379ri6usbpwMyaNYuePXtib2/PlStXdLZFknxI50WSIM+ePaNt27aUL1+eTZs2fReweuPGDWxtbalatSrLli37LmU6MjKSTp06cfv2bQ4dOvRNCr22FDh5EtPOncXxz++/Q3w7cvfuie3q27dFU8Y4jrD+ZSAMGYKZvT1BtWoRff686Morkfys1KhB9KVLvK5UCTMbGxgyBP7jIHzDoEGim/XNmyIO5vbtuMdlzy7G/a+dgGLjRp1NrF69Ovv37+fcuXPY2Nh8V0vE1NSUDRs2UKxYMTp27Mij/3S/VigUeHl5UbFiRTp06ECQHvE4kuRBOi+SeAkJCaFNmzZYWFjg7+//XTrzP//8Q5s2bShVqhSjRo36Lno/JiaG3r17c/r0afz9/amaUEBtIph4elLVwwN1797i+OdfaZ3fcPSoqCKaJo3Ynq5XL36hT56Ibex164hesYJrI0cmeKwkkfw0ZM3KlTFjiPH0FD2LatUSjR7jo0EDsWOZMaMY6+8f97jYdgK//YZZ//6U3LlTxKXpQIMGDdi9e/f/tXfWYVEtbxz/LkuLggq2YmN7jati0iUpKiKIKKIiKmIg2IHY3d0IIgjSKZh47ZarXhMRxUAFqd35/THuysISi+BPdD7Ps8+9npnzzrx72HPeM/MGIiIi4OjoCF6RQpIKCgqYM2cOVFRUYGRkVMzJV15eHidPngQhBJaWlsVWcBi/Nsx4YYiFx+PBxsYGqampCA8PR70i2zOfP3+GqakpuFwuTp48CfkixgQhBC4uLggKCoK/v7/Qr0liCAHmzwd3+nQ8tLICb+fOkgsmCpau+/QBLl4EWrYsWe6pU7TGy4cPwMWLIE5OP1SPhcH47eBwwB8/nr4E5OTQaL4SUvUDoGHT58/T7VpLS2DLFvH9pKWBnTvBmzcPHY4cgZSnZ4UNGGNjY/j6+sLPzw+TJk0qFkFUq1YthIaG4tOnTzA3Ny9WaqZhw4YICQnBrVu3MH78eBaBVI1gxgtDLF5eXoiNjUVAQADaF9lGKSgogI2NDZ48eYLw8HCxOXi8vLywe/du7N27FxYWFhWbBI8HuLgA3t7gLV+Oe6NHizcwCgpoPSMXF7rEHRZWYk4JFBQAs2cDFhY0fPPqVeo/w2AwxNO1K3DlCo3Ys7Ojv58iqxxClJToyuj06dSJd+5c8YYJhwP+ggW45ewM7vr19PdbQcNh6NCh2Lt3L3bt2oVZs2YVM0BatmyJsLAw3Lp1C3Z2dsVWaHr27Il9+/bh8OHDZZavYfw6/LTaRozqg6+vL1avXo21a9cWC4kmhGDq1KmIjY1FREQEOnXqVGy/efXq1Vi5ciXWrVuH0aNHV2wSeXnAqFG0Ku7eveCPGiXeye/LF8DGBoiOps6DkyaVLPPVK2DECLoqs3Yt4O7OVlsYjPKgpESj77p3B2bOBO7coasw4l4SpKSANWto3aSZM+nvbtcu6uBbhCeDB6NDt26QnjSJRitt3VqhfEqOjo74/Pkzpk6dCmVlZcyfP1+k/e+//4a/vz8sLCwwbdo0bNq0ScQ/z9bWFnfu3MHs2bOrpAYSo/JhxgtDhGvXrsHJyQn29vZwd3cv1r5u3Tps374de/bsgb6+frH2vXv3wsPDA/PmzRN7frnIzQWGDqWhmIGBdAlaXBjmu3c0L8XduzSDZ5HyESJcuULztkhJAYmJLHcLgyEpHA41+Dt0oC8MAt8WMeU/AAAzZlADxtERSE8vMVUBGTeO+rA5OdGXll27aMFTCZkyZQo+f/6MuXPnQlVVFePGjRNpNzU1xbZt2zBx4kSoq6tj5syZIu1Lly7F3bt3YWtri+TkZLHZwRm/Dsx4YQhJS0uDpaUlOnXqhF27dhWLHPL398esWbMwZ84cODk5FTvf398f48ePx6RJk7BkyZKKTSI7Gxg2DIiPp1lxSzJInjyhhsvbtzRkumfPkmX6+tJ8L126AMHBQIMGFZsbg8Ggv8l//qEvA7160RUZMRWfAQAjR9J0BlZWdJs2JITmZyrKmDF0ZWb0aODrV+DAAep0LyFz5szBmzdvMHnyZNStWxdyRYpCTpgwAc+fP8esWbPQoEED2NvbC9ukpKRw+PBh9O3bF2ZmZrh48WIxXz/GrwPzeWEA+J6Lhc/n4+TJk8Uii6KiomBvbw97e3ssXbq02Pnnzp3D6NGjYWdnh82bNxczfMrFx4/0xpiUBISGlmy4JCfTUOi8PJo7oiTDJS+P7rvb2dGVnNOnmeHCYFQGgiy7WlrUiJk9u+QkdXp6NMvu69fA339TPzNx2NsD/v50tdXMjG4JV4C1a9di2LBhsLe3x7Vr14q1e3t7Y+zYsXB0dERwcLBIW82aNREaGoqsrCyYmpqKTYLH+DVgxgtD6ID76NEjhIeHFysZf+7cOQwZMgQmJibYu3dvsVwvwcHBWLduHWxtbStcgBPp6fRGePcuXXURsyUFAJyAAEBbm948k5MBDQ3x8lJTqbydO4Ft22iiujIqVzMYDAlQVgaCgqj/2Lp1NPlcaqr4vt260dWaJk2AAQPoFpI4hg4FoqKoX5qODl1ZlRAul4vDhw/DwMAAK1aswJkzZ0TaORwOdu3ahSFDhsDW1hbnz58XaW/evDkiIiJw//59DB8+HAUFBRLPgVH1MOPlD4cQgsmTJyM6OhonTpwoVm7+xo0bMDU1RZ8+feDv71+sQmhcXBzs7e3Rt29f7Nmzp2KVWp8+pflY3r6l6f579xY3UbQJCIC0nR1gbU0NHFVV8fISE6lj4YsX9I3PxYU55jIYVQGHQyOLEhPpVm63btRXTRwNG9J+lpbA8OGQ8vYWH2GkrU1XX58/p75pT55IPC0ZGRkcO3YM7dq1g6WlZbEsuwIDp3fv3jAzM8P9+/dF2rt3747AwEDExMTAxcWFhVD/gjDj5Q9n1apV2LlzJ3bt2gUDAwORtocPH8LQ0BBt2rRBSEhIsVwuycnJsLS0hI6ODtzc3CpmuNy9S29QhNAtoI4di/fJywPX2Rkdjh4Fb/58mvK/yF42ACpjzRq6TN2pE12e7tNH8jkxGAzJ6NePFnfs3p1u9y5aBPD5xfspKABHjwLe3uAuWYKea9ZQP7eidOtG6yHx+bSg482bEk9JXl4eXl5e6Ny5M4yMjHDr1i2Rdjk5OQQHB6NRo0YwNjYulmXXwMAAe/bswZ49eyruw8eoMpjx8gfj5+cHT09PzJs3D2PHjhVpS09Ph6GhIerUqYPIyEjUrFlTpP3OnTswMTFBt27d4OfnV2xFplxcukQLLKqpUcOlRYvifd6/BwwMwPHzw1V3d/Dnzxe/ivL5M3X0nTWLfqKjS657xGAwKh81NZrOYPFiYMkSugUkzm+FwwHmzkWBvz/qX7kCrrEx/Z0XpWVLmvSuUSN6n0hKknhKCgoKCAkJQfPmzaGvr49/i1S1VlFRQWRkJAoKCmBiYoJPnz6JtI8ePRre3t5YtGgRfEtL0Mf46TDj5Q/l7NmzGD16NOzt7Yu9VWRnZ8Pc3Bxfv35FVFQUVItsz/z3338wMDCAuro6QkNDoaioKPkEYmMBXV1aRygxUbwj7aNHgKYmcPcueNHReDlokHhZ9+/TqIeYGLoHv3x5yVl4GQxG1SElBcyfT6OKYmPpdvDz52K7EisrnF+6FJx//6V+MC9fFu9Uvz69P/z9N82eHRMj8ZRUVFQQHR2NunXrQldXF0+fPhVpb9q0KSIjI/HkyRNYW1sjLy9PpH3OnDlwcHDA2LFjcekHKmIzKpcqNV7Mzc3RrFkzyMvLo2HDhhg1ahRevXpV6jk5OTlwdXVF3bp1oaSkBGtra6SXVpqdITEpKSmwsLBAv379sHfvXpHIIB6Ph5EjR+LOnTsICwuDurq6yLmvXr2Cnp4elJSUEBUVBRUVFckncOIEDXMeOJDejMTJuHCB+r5wOEByMkhJeVnCw6nhwuV+zwLKYDD+v5iZ0d9wZib9fV68KLbbx7ZtUZCYCGRl0e2hIr4nAICaNWnWbF1dKjc8XOLpqKmpIS4uDrKystDT0yu2RdS5c2cEBwfjzJkzcHJyEvFxETj49ujRAxYWFnjx4oXE4zMqnyo1XrS1tXH8+HGkpKQgMDAQjx8/xtChQ0s9x93dHaGhoQgICEBSUhJevXqFIUOGVOU0/ygyMjJgbGyMhg0bIigoCLKFcikQQoTf//Hjx4sVUnz//j0MDAyQn5+P2NhY1K9fX/IJ7N1LE1wNHUpzrohbtYmKon4rnTvTm16rVuJlbd5MwzR1dGjkUdu2ks+HwWBUDZ070wijNm1o5N+RI+L7aWhQQ0dFha7UiDN05OXpqqqxMX1BCQmReDqNGjVCfHw8cnJyoKenh4yMDJF2LS0tHDx4EEeOHMGcOXNE2uTk5HDy5EnIycnB3NychVD/AlSp8eLu7o4+ffpAXV0dffv2haenJ5KTk4ulkxeQmZmJvXv3Yt26ddDR0UGPHj2wf/9+XLhwAcnJyVU51T+C/Px8DB06FF++fEF4eHixVZMNGzZg8+bN2Lp1a7H02F++fIGJiQnS09MRGxtbbEWmXOzaRZPFTZhAb2TiklD5+dG3K319IDISqF27eJ+CApq/ZepUYNo0elNTUpJ8PgwGo2pRU6OV3u3saLkPLy/xjryNGtHIwI4d6QqLuNUVWVkaYm1hQV9+AgMlnk7z5s0RHx+PjIwMGBoaIjMzU6R9xIgRWLt2LVasWIGtW7eKtNWrVw+hoaF4+PAhRo0aBb44PRg/jZ/mGPD+/XscPXoUffv2LdG58+rVq8jPzxepp9OuXTs0a9YMFy9eRJ8SIkfy8/NLNIh+FIHc6ipfIJsQAjc3N1y4cAExMTFo3LixyJiBgYGYMWMGZsyYAScnJ5G2nJwcWFpa4t69e4iNjUWrVq1E2sujg9Tu3eC6uoLn6gr+unW0sFuRAmlSO3ZAys0NxM4OvF27qN9KEdn5GRngOjmBExMD/pYttOotny/+hijhd1SWDj/K7/K3VJVjMB1+jTEqVb6UFLBjB6TatYOUpyfI3bvg7d+P/G95l4Rj1KgBhIWBO2oUOBYW4O3YASKuNtqhQ+A6OoJjYwPe/v0gI0ZIpEPLli0RHh4OfX19mJqaIjw8XCQp55QpU/Ds2TNMmTIFampqsCq0Fd2+fXscOnQIQ4cOhZeXFxYuXCh2jMrid/pbqmw4pIoD2GfPno0tW7YgOzsbffr0QVhYGOrWrSu2r6+vL8aMGYPc3FyR47169YK2tjZWrlwpcvzTp09QVlaGr69vxZxG/yBOnjyJgwcPwtXVtVhNohs3bsDb2xuamppwd3cXSTKXl5eH5cuX4+7du1iwYAE6deok8ditg4LQ8dAhPDY1xR0np+LRQnw+Ohw6hDbBwXhsZoY7Y8aILc6m9OIFei9fDrmPH3F51iy8ZdWgGYxqRf3Ll9Fj/Xrk1K6Ny7Nn43OzZsU78XjosmsXWkRH419ra9y3syt2P+DwePhryxY0TUzE7XHj8KQChRQfPHiABQsWoHPnzvD09BR5qebz+Vi3bh2Sk5Mxd+5cdCtyrwkODsaBAwfg4uICw9JqqjGQnZ2NkSNHIjMzE7Vq1ao8wURCZs+eTQCU+rl//76w/9u3b0lKSgqJiYkh/fr1IyYmJoTP54uVffToUSIrK1vs+N9//008PDyKHc/MzCQASFpaGsnLy6uST1ZWFgkODiZZWVnVUn5eXh45cOAAAUBmzZpVrO3MmTNEUVGRGBkZkS9fvoi0ffr0iRgYGBAFBQUSFRUluQ65uaRg5kxCAFIwdy7Jy80tfn5mJuFZWRE+h0MK1q0rcYwcX1+SLy9PeO3bk7y7d6vldfgd/paYDv9/+dVehzt3CL9jR8JXVCSXp08XP0ZuLilYtYrwORzCs7AgeR8+FO+Tk0MK3NxKvL+UR4fw8HAiKytLhgwZQrKzs0Xavnz5QkxMTIiCggJJSEgQacvNzSWurq5ESkqKeHp6Vs/r8JPGSEtLIwBIZmampOZGqUhsvLx584bcv3+/1E9ubq7Yc1+8eEEAkAsXLohtj4+PJwDIhw8fRI43a9aMrFu3rlh/gfGSkZEhqRrlJi8vjwQHB5O8vLxqKT8xMZHIysqSQYMGFbsuN2/eJCoqKmTAgAEkKytLpC03N1f4w42Liyt1DLE6FBQQMn48IQAh69eLPzE9nZDevQlRVCQkJER8n4ICQubOJQQgL/v2JXnv35elcoWo6uvwM8ZgOvwaYzAdysGXL4Q3ciQ1PNzd6e9cHKdOEVKjBiHduxPy8mXxdj6fkBUr6H1mwgQROeXVITg4mHC5XOLg4EB4PJ5I29evX4mOjg6pWbMmuX79ukhbQUEBGTJkCJGVlSWJiYnlUltSfoe/pYyMjCoxXiT2eVFTU4OamlqFVnkEDk5Ft4UE9OjRAzIyMoiPj4e1tTUAGtb7/PlzaGpqVmjMP5l79+7B0tIS/fv3h4uLi0hI9MOHD2FgYICWLVsWy9XC4/Hg4OCAuLg4hIaGQldXV7KB8/IABwfqXLd/P+DoWLzPgweAiQmtIHvmDFAksgkA8OEDdfSLjgZv2TJc6dABJswxl8Go/tSoAd7+/birqIhOGzcCjx/TzLtFf99mZjRRnakpTZ0QHS2ahZvDoUUh1dQAZ2cgI4PKEZeBuwQsLCxw+PBh2NnZoUaNGti6davwXikvL4+QkBBoa2vD2NgYFy5cQItvyTS5XC4OHDgATU1NWFlZ4dy5c+jQocMPfzWM8lFl0UaXLl3Cli1bcOPGDTx79gwJCQmwtbVFq1athIZIamoq2rVrJ6w7oaysDCcnJ0yfPh2nT5/G1atXMWbMGGhqapborMsQT1paGoyNjdG0adNiNYlevnwJfX191K5dG1FRUVBWVha2EUIwadIkBAQE4NixY8VKBpRJdjatXXLyJM3nIs5wSUykyecUFWmIszjD5e5dmpgqORmIjAR/1ixWn4jB+J3gcPCfqSl4wcG04nv//rQeWVG6dqXZuOvUocnsxIVSjx1L7znh4TSc+vNniaZia2uL3bt3Y/v27fDw8BDJ86KkpITw8HDUqFEDRkZGIiHWghIEjRs3hpGREVJLKkzJqHSqzHhRVFREUFAQdHV1oaGhAScnJ3Tp0gVJSUmQ+2YV5+fnIyUlBdmFalusX78epqamsLa2xsCBA9GgQQMEBQVV1TR/Sz5//ozBgweDx+MhIiJCxDh5//690GE3Nja22Cqap6cndu3ahb1790qeX+fjR8DAgK6khIeLTxh35Ajt07MnfaMSF3IdF0cTVikq0sRzkhpQDAaj2kCMjGiel48faUK7IkUUARQPpY6MLN7H3Jwmvbx6lWbjLZLqvyycnJywYcMGrFmzBkuXLhVpq1evHqKjo/HhwweYmZmJPLOUlJQQGhoKADA2NsbHjx8lGpdRMarMeOncuTMSEhLw7t075OTk4MmTJ9i+fTsaN24s7NO8eXMQQqClpSU8Ji8vj61bt+L9+/fIyspCUFAQGohLHc8QS35+PoYNG4bHjx8jIiICTZo0Ebbl5OTA3NwcGRkZiI2NFWkDgBUrVmDVqlXYsGEDHMWtmJSC3MePkNbTA+7doxWfC4W7C9m4keZ6GDWK1kApZFQJ2bePvjn17UvrHbVsKdE8GAxGNaRTJ2q0tGgBDBpEt5yLoqJCjRN9fWqoiEt6N2AAffm5dw9cY2NIi6utVApubm5YtmwZFi5ciLVr14q0tWrVChEREbh9+zZsbGxQUFAgbGvcuDGio6Px8uVLDB8+XKSNUTWw2ka/EYQQTJw4EfHx8QgKCkKXLl2EbXw+H2PGjMG1a9cQGhqKNm3aiJy7fft2eHl5YdGiRXBzc5Ns4Bcv0H/OHODtW/p21Lt30YkBCxfShHKzZwN79gBFc/3w+cDcuYCTE/2EhgKVGVbHYDB+berVAxISgCFDgOHDAW9veu8ojIICTU4neAlav764nL//BuLjwXn8GP0WLBBf9LEU5syZAy8vL8ycORM7duwQaevZsycCAwMRFRUFFxcXke2l9u3bIzAwEKdPn8bUqVNF2hiVD6te9xuxdOlS7Nu3D4cOHSrmZHvgwAGEhoYiKCiomP+Qr68vXF1d4ebmhgULFkg26IsXkP5WMqDg7FnIaGiItvP51GjZvBlYsYIaL0XJyQHGjKHZdVetAmbOZP4tDMafiLw8XVFp144WeExJoS87hR1wpaVpmZF69YDp04H0dFqMtfA9o3t3FERHQ0FXF9IGBnQ1uEiB2dJYtmwZvnz5gkmTJqFGjRoYNWqUsM3Q0BB79+7F6NGjUb9+ffz999/CNm1tbWzfvh3Ozs5o3749pkyZ8kNfB6NkmPHym3D48GEsXLgQ3t7eIj80ANi8eTNOnTqFDRs2wNLSUqQtLCwMDg4OGD16NNatWycSkVQmL14A2tpAQQHOeXtDu+gWT34+daQ7epSWBnB2Li4jI4M6+F69SpeKy6h9xWAwfnM4HGq4tG1LHf7/+48649arJ9pnxQpadXr6dLrqu3OnaDX5rl1xfulSaC9bRuufxcWJyih1Chxs2LABWVlZcHR0hKKiojACFgAcHBzw6tUreHl5wcXFBSYmJsK2cePG4cGDB5g2bRpat24NY2PjH/1GGGJg20a/AYmJiRg3bhzGjBlTrKDYsWPHMHPmTFhaWmLSpEkibdHR0Rg6dCgsLCywe/dukcy6ZfL4Ma0KXVCAgthYfC1apPHzZ7ov7e9PV1TEGS63b9Mtpn//pdEGzHBhMBgCbGxoZOLjx3Qr6OrV4n3c3YHDh4FDh+j9poiT7md1dRTExlLjZuBA4Pnzcg8vJSWFXbt2Yfjw4bC1tUVkESfh2bNnw9XVFTt37kRAER+dlStXYvDgwRg+fDiuX79e7jEZ5YcZL9WcO3fuwNLSEgMHDsSOHTtEVk4Eqyr29vZwcHAQOS86OhoWFhbQ19eHr68vpKUlWIS7c4eGNcrKUh+X5s1F21+9ojeKCxeoY+7w4cVlBAbScGklJRoGyULhGQxGUXr3Bi5fpiss/fuLL8Zob0/vM+fPiw+3bt+eOv/n5dFAgHv3yj08l8vFoUOHYGxsjCFDhiAxMVHYxuFwsHbtWgwYMACjR48WRhwJzvP19UX79u1hbGyM//77T1LNGWXAjJdqzMuXL2FsbIzmzZsjMDAQsoWqNCcmJmLo0KEwNzfHzp07RVZVChsuJ06cEIaul4tLl6hh0qABcPYsULQ2yZ071BDJyKA3jKJRR3w+XRIeOpQmqbtwgUYYMBgMhjiaNgWSkr5Xk161qrgjr74+vZd8+kTDrW/cEG1v1YoaN4JcMZculXt4GRkZ+Pv7Y8CAATA1NcXFQnlmpKSkMHXqVAwePBjDhg1DXFycsE2QH6ZWrVowNDTEmzdvKqI9owSY8VJNyczMhImJCaSkpBARESFS8Oqff/6BmZkZBg4cWGxV5fTp0xU3XOLjaY6FDh3oNk+R/WNOQgLQrx+9QSQnA507i56flUUjCZYtA3x86JZSjRoV0p/BYPxBKCgAvr7AvHnU6d/ZWVhxXkjHjtQoadIEGDQInDNnRNsbNqRGUPv29D4WE1Pu4eXl5REcHIzu3bvD2NgY165dE7ZxuVwcOXIE2trasLCwwIULF4RtampqiI6OxpcvX2BiYoIvEoZuM0qGGS/VkNzcXFhZWeHFixeIjIxEo0aNhG137tyBsbExunTpgpMnT4oYJ//88w/Mzc0xcOBAyQ2XkBC6UtK/P/3Rq6iINDdNSADX1JRuBZ09CxTK5wMAeP0a0NKiTnOnTgFeXiyiiMFglB8pKWDpUuDAAerjYmRES4gUpn59Gm7dsye4gwejQdEVltq16f1LS4uWHDh+vNzDKyoqIiwsDBoaGjAwMMDdu3eFbXJycggKCkLPnj1hamqKe4W2plq0aIGoqCg8fPgQ1tbWyMvLq4DyjKIw46WaIcjXcuHCBZw6dUqklsbjx4+hr6+PZs2aCdNZC3j27BnMzMzEGjVlcvgwYG1Nl21PnaKZbwshtXo1um/aBOLgQPOz1Kwpev79+9SoSU2lPjKmphXSncFgMDB6NBAbC1y/Tn1YivqT1KwJRESAmJig18qV4Bw8KNquqEijl2xsAFtbGg1ZTmrVqoXIyEg0btwYenp6ePjwobBNQUEBISEhaNKkCQwNDfHy5UthW9euXREcHIzExESMHTtWWOePUXGY8VLN8PT0hJ+fH44cOYIBAwYIj6empkJPTw+1atVCdHQ0VAqtjDx69AiLFi0Sa9SUyZYttMiioyNw7Bh10hVACODlBe7cuUgZPhy87duLJ59LSqI3mBo16FZS9+4VU5zBYDAEDBpE7ycFBdTHrtBWDQBATg48X18809ODtLMzsHq1aLuMDF3BGT2aJrsrauCUQp06dRAbGwsVFRUYGRmJ+LKoqKggKioKUlJSMDIywodCK0Pa2to4cuQIfH194eHhURGtGYVgxks1YvPmzVi9ejXWr1+PoYXCijMzM2FsbAwej4e4uDjUK+SLInDqVVBQQHh4uIhRUyYrVgBTpgAzZgC7dwNc7vc2Ph+YNAlYsQK8VavwYOTI4ttAvr60LlH37tR5t6hzL4PBYFSUtm1pkcZ27WgeFz8/0XYuFzddXMDz9AQ8PIBZs0QdfblcmgBv3DiaJHPv3nIPXa9ePcTFxUFGRgYLFizAq1evhG2NGjVCdHQ0Xr9+DXNzc3z9+lXYNmzYMGzatAlr167FunXrKqw6gxkv1YbAwEC4ublhxowZIun7C/u/REVFoWnTpsK2t2/fQl9fH4QQLF68WMSoKRMfH+qXsmgRfWspbJjk59O3lV27gL17wZ82TfRcQmjGSzs7YMQIWkRNEqOJwWAwyoOqKt1CGjaMbgEVLSnA4YC/ZAmwYQOwZg1Nmlm47pCUFLBjBzBxIjVidu4s99CNGzdGVFQU8vPzYWxsjLdv3wrb2rVrh7CwMFy9ehUjR44UqXU0efJkYfkBVnS44jDjpRpw7tw52NnZwcbGBqtWrRIeL83/JTMzE4aGhvjw4QMiIyOLVY8uFR8fWmdo8WJak6iw4fL1K40YCgig0UJjx4qeW1AATJgAzJlDzz1wQHSricFgMCoTOTnqwLtkCU3D4OhIc7oUxs2N+u4dOUL99wqthkBKCti6FZg6lRoxW7eWe+jmzZtjyZIlePfuHQwNDUUqSvfp0wcBAQEIDQ2Fq6urSK0jb29vDBs2DPb29rhy5UoFFf+zYcbLL869e/dgbm4OTU1NHDhwQJivhRACDw8Psf4vX758gampKZ48eYKYmJhiRRhLhBD65iIwXIrWOfr4kVZ8jo+njrlFM+JmZgJmZsD+/fSzaBGLKGIwGFWPoKSAry/dPjI1LZZtF/b2NGoyNhYwNBQt2Mjh0NWZ6dOByZOBIhWlS6Nx48aIjIzEs2fPYGRkhE+Fxh08eDD27NmDXbt2YeHChcLjUlJSOHDgALp06QIzMzM8ffq0gor/uVSp8WJubo5mzZpBXl4eDRs2xKhRo0T2BsWhpaUFDocj8pk4cWJVTvOX5cWLFzAwMEDTpk2LRQgtW7YMa9euxcaNG0X8XwT5BG7evInIyEiRytKlQgjdF54/nxowRQ2X589pmPStW99//IWokZoK6X79qBNdZCR9+2EwGIyfia0tEBUF/PMPpLW0IF9oKwcATfcQF0ez7BaNVOJw6NbSnDm0OOycOcWT4ZVA586dERMTg5SUFJiYmCArK0vY5ujoiJUrV2Lp0qUiK+eC6CRFRUUYGhoiIyPjh1T/06hS40VbWxvHjx9HSkoKAgMD8fjxY5EHbUk4OzsjLS1N+Cl8wf8U3r9/DyMjI8jIyBSLHtq0aRPmz5+PpUuXilQtFRguN27cQHR0dLHq0SXC49GtnjVrgI0b6cpLYW7coKHOWVnUq79fP5FmTmIiBgq85y9dKp5Vl8FgMH4W2tr0PvX5MwZ5eNCQ6sL07Usdffl8ei+7det7G4dDk2iuWUP99iZOpPfHctCjRw9ERUXh5s2bsLCwQE5OjrDNw8MD8+fPx+zZs7Flyxbh8fr16yM6OhofP37E4MGDWRI7CahS48Xd3R19+vSBuro6+vbtC09PTyQnJyO/aGbEIigqKqJBgwbCT+HssX8CX79+hYWFBdLT0xEVFYUGDRoI2/bv3w83NzfMnDkTcwsZGUUNF01NzfINlp9PHWv37qVbPVOnirbHxtJyAA0bfvfsL8zRo+AOHoyPrVuj4Px5GgHAYDAY/086dEDBuXP4qqoKaR0dICxMtL1NG1ouoFEjen87d060fcYMYN8+Go00YgSQm1uuYXv37o2wsDBcuHABQ4cOFUlIt3jxYsyYMQNTpkzB3kKRTa1bt0ZkZCTu3buHoUOHlvl8ZFAkqMb3Y7x//x5Hjx5F3759IVM0F0gRjh49iiNHjqBBgwYwMzPD/PnzoVgkMVph8vPzq+yCC+T+LPk8Hg8jR47E1atXERMTg5YtWwrbAgMDMW7cOIwbNw7Lli0TerDn5OTAwsICN27cQHh4OHr27Cky3xJ1+PoVXFtbcGJjwTt2DMTKSiTlNufIEXDHjwfR1wfv6FFaRFHQTgikVq0Cd/588OzskGxlBT1FxeIpu6voe6pu8n/GGEyHX2MMpsOvMUZ+nTo47+0No6NHwbWwAH/tWvBdXb93UFEBYmLAtbYGx8AAPD8/EGPj7+329uDUrAmuvT3I4MHgnThRrJyJOB369u2LEydOwMrKCra2tjhy5IiwRIuPjw++fPkCZ2dnyMjIwNbWFgDddjpx4gTMzMzg6OiIffv2QUpK6ve4DlUkl0NIOTf1KohgmSw7Oxt9+vRBWFgY6tatW2L/Xbt2QV1dHY0aNcKtW7cwe/Zs9OrVS2xI2adPn6CsrAxfX99SjZvqAiEEu3fvRlRUFDw9PdGrVy9h27Vr1+Dj44O+ffvCzc0N3G85VwoKCrBy5UrcvHkTCxcuRMeOHcs1lnR2NnovWwaVhw/xj5cX3nbrJtLeIiwMXfbswTM9Pdx0cQEplOOFw+Oh8+7daBEVhQc2NkgZMYI55jIYjF8THg8dDx5E61On8NjMDHccHUVyVknl5aHn2rWof+UKrk+dipeDBomcXvf2bfRZtgwfW7VC8rx54CkolGvYf/75BytXrsSAAQMwdepUYbAFn8/H5s2bcebMGcydOxfdCyXuPHfuHNauXQszMzOMGTMGnN/gvpqdnY2RI0ciMzOzcndRiITMnj2bACj1c//+fWH/t2/fkpSUFBITE0P69etHTExMCJ/PL/d48fHxBAB59OhRsbbMzEwCgKSlpZG8vLwq+WRlZZHg4GCSlZVV5fK9vb0JALJ9+3aRPvHx8URBQYEMHjxYZB5fv34lI0aMIDIyMiQ0NLT8OqSlEV6PHoRfqxbJT0wU7Z+bSwoWLSIEIAXTp5O83FzR9g8fCM/EhPC5XJK/c+dP+Y5+9nVgOjAdfmX5TIeKyS/YtInwpaQIz8yM5H34INo/O5vwRo+m971164rJyk9MJHwlJcLr14/kvXtXbh2OHDlCpKSkyLhx40huoXtpdnY2MTExIYqKiuTcuXMi52zYsIEAIMuXL/8trkNaWhoBQDIzMyU1N0pF4m2jGTNmwLGMSJKWLVsK/19VVRWqqqpo27Yt2rdvj6ZNmyI5ObncPhm9e/cGQFPct2rVSmwfGRmZMreifpSqHsPPzw/z5s3DwoULRaKrrly5AktLS2hqauLEiROQl5cHQFdpJk+ejOPHj8Pf3x+m5agXJCMjA5n376lD7Zs3QGIipAuvuAgijtasAby9wZ0zB9zCln96Og2FvncPCA2FdOElVvwe14Hp8GuMwXT4Ncb4rXSYMgVo2RIcGxtI6evTdA8Cf0IZGerzp6YG7vTp4H78KJrqYdAgIDYWHENDSJma0ohKZeUydbCzs0N+fj7GjBkDJSUlrFu3DhwOBzIyMggICIC+vj4sLCxw/vx5aGhoAADc3NyQkZEBLy8vqKmpQVVVtVpfh6qat8TGi5qammQJzwohKEaVW07nJwC4ceMGAKBhw4YVGrM6cP36dSxbtgzjxo0TyQXw77//wtjYGB06dEBISIiI4eLh4YFdu3Zh37595YrgAkCND0NDWon1zBlR51seD3BxoWUANm2iP/TC/PsvreL69Ss9l9UoYjAY1Y3Bg2nVe1NToHdvICICEGy1czg0m7iqKuDpCWRkAJs30yR2AK2hFBdHS54YGADR0cV8YMTh6OiI7OxsuLq6okaNGvD29gZAA1NCQ0MxYMAAGBgY4MKFC2jcuDEAYMmSJXj9+jUmTJgALy8vmJiYVMnXUZ2psmijS5cuYcuWLbhx4waePXuGhIQE2NraolWrVsJVl9TUVLRr1w7//PMPAFoVeenSpbh69SqePn2KU6dOwcHBAQMHDix/vpJqxrVr17By5UoYGBhg+/btwj3O9PR0GBkZQVVVFeHh4VBSUhKes2zZMqxZswYbN27EmDFjyjWO3MePkDYwoIbL6dOihkvhiKMDB4obLhcu0PBCeXkaccQMFwaDUV3p1o2mdFBRAQYMoPe0wsyeTUuf7NhB74uFs/X+/Tc1YB4+pCvYhRPdlcKkSZOwZs0aLFu2DD4+PsLjderUQXR0NAghMDIyEmbo5XA42L59O0xMTLBq1Spcvnz5B5X+/agy40VRURFBQUHQ1dWFhoYGnJyc0KVLFyQlJQmTreXn5yMlJQXZ2dkAAFlZWcTFxcHAwADt2rXDjBkzYG1tjdDQ0Kqa5v+Vx48fCxP5HT16VOiR/vnzZwwePBg5OTmIiooScXAW5HhZsmQJphYNay6J9HT0nT+fZsg9fRr4tjwJgK6kWFnREvEBAbTKamGCggBdXfp2cv480Lz5jynNYDAY/2+aNKEV7zt1okZIVJRou7MzcPw4vf+Zm9McVwJ69AASEoCnTyFtaAjZopl8S2DGjBlYvHgx5s6diw0bNhSaShNER0fj1atXIoUcpaWlceTIEbRo0QJWVlYsC28RqixUunPnzkhISCi1T/PmzUXqPTRt2hRJSUlVNaVfitTUVOjr66NWrVqYO3cuanxbfhTkeHn48CHOnDkDdXV14Tnbtm0T5niZN29e+QZ68QLSurqQ/fIFBWfOQKaw4fLuHfVhuXmT5kHQ1//eRghdQp09G7CxoSXjC2X4ZTAYjGqNigrd+hk+nN4Hd+4UrdVmbQ2Eh9OXOy0tusUkcJn46y/6Iqiri/5z5tDs4y1alDnk/PnzkZ2dDXd3d3A4HGGR3fbt2yMsLAx6enqwtrYWZlRXUFDAnDlzsHjxYhgZGeHcuXNQVVWt9K+iOsJqG/0fyMjIgL6+PgoKChAVFQXlb45f+fn5GDZsGJKTkxEeHo6uXbsKz9m2bRtcXV0xbdo0rFq1qnwhdA8f0h9Vfj7O+viIrrg8eUK3gh49AhITRQ0XHo9uHc2eDcybR+uFMMOFwWD8bigo0FVnJyf6mT9ftCSAnh718Xvxgm4xPX/+va1zZxQkJICbkwNpbW16vy0DDoeD5cuXw8PDA9OmTcP27duFbZqamggJCRG6WAjyeCkrKyMsLAwfPnyAiYkJy8L7DWa8/GSysrJgamqKjIwMxMXFoVmzZgBocrpRo0YhNjYWwcHB6N+/v/CcwoaLwFu9TG7fpj82RUUUnD6N7MIOz9eu0XT/fD71Z/n77+9tX7/S8vI7dtB936VLvzusMRgMxu+GtDSwfTuwciWt6+bgIJpRt1s3moE3N5eWE3jw4HubhgbOLl9O/QH796elVMqAw+FgxYoVcHNzw6RJk3Dw4EFhm56eHk6cOIHQ0FCMHj0avG+lCQRZeB88eABra2uRzL1/Kuyp9BMpKCiAjY0N7ty5g4iICLT9lkqfz+fDxcUFJ06cgJ+fHwwMDITn7NixQ3LD5dIlGtrXqBF9a/jmwQ6ArrIMGgSoq1PDpXXr723v3lH/luhoWn3V2bmSNGcwGIxfGA6Hponw86O+LkZGNLhBQOvW1ICpVYu+FF69KmzKUVNDwenTQLNm9N56/nw5huNg/fr1GD9+PMaOHQt/f39hm6mpKY4dOwY/Pz9MmjRJGKXbvXt3BAcHIzExEY6OjsLjfyrMePlJEEIwYcIEREdHIzAwED179hQe37dvHw4cOID9+/fDyspKeM7Bgwfh4uICNze38hsu3/Zh0aEDdSorFNbOCQ+nP0pNzWJtIttIp0/TkEIGg8H4k7CxAeLjabHGfv2Awk6yjRvTl8GWLWnxx8TE722qqvSe2q0bTUdx5kyZQwkiiuzs7GBvb4+QkBBh29ChQ3Hw4EEcOHAAe/bsEfqG6ujo4OjRo/Dz84O7u7uIz+ifBjNefhILFizAvn37sG/fPhgaGgqPL168GGFhYdi8eTNGjRolPB4YGIixY8fC2dkZ69evL5/hEhoKGBtTIyQ6mjqkfaPRuXPgDhtGS8KHhormJyi6jVSoLAGDwWD8UfTvT++Dubk0t8uVK9/b6talxk3v3oCRETiFI2Fr1qROvX360Pvw6dNlDiUlJYV9+/bB0tISw4cPR3R0tLDN3t4e27ZtQ0REBBYvXiw8PnToUGzbtg2bNm3C8uXLK0Xl6ggzXn4C27Ztg7e3N1atWiVioKxevRo+Pj5wcHDAhAkThMejoqJga2sLGxsbkdwvpRIQAAwZItY44ezdi55r14LY2NAl0cLOt9HRJW8jMRgMxp+IhgbN/9K8Ob0/FjZSlJRodKapKbjDh6NpYSNFUZH27d+frl7HxZU5lLS0NI4ePQoDAwNYWloisdCKjpOTExwcHODj44PNmzcLj0+cOBGLFi3C3LlzsXv37kpQuPrBjJcqJigoCJMnT8a0adMwc+ZM4fGdO3fCw8MDnp6eGDJkiPD4mTNnMGTIEBgZGeHgwYPCAoylEhAA2NrSkL+ixsm6dZB2ccETY2Pw9u6lzmkCDhygPzAtreLbSAwGg/EnU68evS8aGgKWlsC+fd/b5OQAf38QBwd037gRUoUMCygoUJ9BLS0agl1oNaUkZGVlERAQgP79+8PU1BQXCyXOs7KywrRp0+Dm5gY/Pz/h8QULFmDSpEmYOHEiTp48WQkKVy+Y8VKFnDlzBiNHjsTw4cOxdu1a4QrK8ePH4eLigqlTp4osB165cgWmpqbo27cvjh8/Xr6aEALDxcYGOHTou3FCCLBwITBjBngeHrjt7Pw9aogQ6lU/ZgwNDzx5slxprhkMBuOPQlGR3mOdnem9cs2a721cLng7duChlRW4M2YACxZ8D7OWl6f3VT09wMKCbieVgby8PIKDg9G9e3cYGxvj2rVrAL5HJ9nZ2cHBwQGxsbHC45s2bYK1tTVsbW3/mBxpApjxUkXcvn0b5ubm6Nu3Lw4ePCgsh56QkIBRo0Zh5MiRIr4sd+7cgaGhITp16oTg4GBhHaNSKWq4CFZpCAGmTweWLAGWLwff2/t7gTFBDaP582kY9I4doqsxDAaDwfgOl0tDqefMAWbNov8VGCkcDu6NHg3esmX0fjplCvUdBOjqTGAgDZKwshLdeiqBGjVqICwsDBoaGjAwMMCdO3cAfPeN0dPTg5WVlbBcAJfLxeHDh9G/f3+Ym5vj5s2bVfIV/Iow46UKePLkCYyNjdG8eXNhpkQAuHr1KqysrDBo0CDs27dPaNCkpqbCxMQEzZo1Q0REhEgdoxI5dky84ZKfT1dUNmwAtm6lBcYE5OTQ/nv20CXQefO+GzUMBoPBEA+HAyxbBqxdCyxfTldi8vOFzfxZs2herG3baIkVQZusLH3JNDOjGXsDAsocqlatWoiKikLTpk1hbGyMFy9eAICwEnXnzp1hbGyMu3fvAgDk5ORw8uRJtG7dGiYmJnj27Fnl6/8LwoyXSubVq1fQ09ODvLw8IiMjhdlz7969C0NDQ7Rr1w6BgYGQlZUFAKSkpGDevHnCAl0qhSKESmT3blowzN5e1HD58oXW4fD1BY4cASZNEp4i8+ULuCYmNN11UBA1cBgMBoNRfqZPp6VSDh6k99rPn7+3OTvTPDH+/sDQofRlEQBkZOjL5vDhwIgR9OWxDGrXro2YmBioqalh3rx5uHfvHgC6MhMeHo7GjRtDT08PD79l9a1ZsyYiIiKgoKAAAwMDvH37ttJV/9Vgxksl8vbtW+jp6SE/Px/x8fFo+C2r7ePHj6Gvr4/GjRsjMjISNWvWBEANF319fdSsWRMxMTGoV69e2YOsWweMHw+4utLVE4Hh8uYNzT1w/jzdX7Wz+37OixfoP2cOOPfuUQc0c/PKVp3BYDD+DBwcgMhI4Px5SOvqQq5wZenhw4FTp4DYWBouLSjaKCNDXzRdXKiRs3p1mcOoqakhJiYGKioqMDIyEhoqderUQWxsLFRUVKCjoyMs2Fi/fn3ExMTg06dPMDY2xufChtVvCDNeKokvX77AxMQE7969Q1xcnLCg4osXL6Crqys0UOrUqQOAGi5aWlqoU6cOlixZUrbhQgiwaBEwYwbdc9206bsD7osXwMCBwMuXNDmSnt738+7cgfTAgZD++hUFSUk0nwuDwWAwKo6eHs24+/YtBs6eDXxbGQFAfVxiY4Hr12nC0IwMelxKCti8mfobeniI+s6UgKqqKhYvXgxlZWXo6uoKDZV69eohPj4ecnJy0NHRwcuXLwEALVu2RFRUFB4+fAhLS0vkFi5z8JvxU4yX3Nxc/PXXX+BwOLhRRu2HnJwcuLq6om7dulBSUoK1tTXS09N/xjQrTF5eHqytrZGSkoKoqChh2v/09HTofTMk4uLiUL9+fQDAw4cPoaWlhbp16wot61IhBJg5E1i8GFixgu69CnxVHj+m6apzcoCzZ2m1UwFJSTTfgKoqzqxcKVqYkcFgMBgVp0sXFJw9i3xFRUhradH7rYB+/ei/nz+n9+dvxgU4HBpIIfCd8fAo04BRUVFBVFQUZGRkoKuri9TUVABAo0aNEB8fDx6PB11dXeFzsmvXrggNDcWFCxdgZ2cnrI/0u/FTjBcPDw80atSoXH3d3d0RGhqKgIAAJCUl4dWrVyJ5UH41+Hw+xo4di8TERAQHB6Nbt24AgPfv38PAwACfPn1CXFwcmjZtCgB49uwZdHV1oaKigoSEhLJXXHg8uk20bh11wJ09+3vb3bv0hyEnRw2XwgnmAgIAAwOgZ08UxMcj99uKD4PBYDAqiSZNcM7HB6R7d3q/PXbse1vXrnR15utXaswUrjo9fTpdhVmzBnB3L9OAady4MRISEpCfny9iqKirqyM+Ph6fP3+Gnp4eMr6t8gwcOBD+/v4IDg6Gq6vrb1lGoMqNl8jISMTExGBN4fj4EsjMzMTevXuxbt066OjooEePHti/fz8uXLiA5OTkqp5qhfDw8ICvry8OHz4MHR0dAMDnz59hYmKC1NRUxMXFofU3oyItLQ16enqQlpZGXFxc2YZLQQHdX923jzqIFXLAxZUrdKuoXj26VfTNOAJAt5RsbKjTWEQELSbGYDAYjEqnoEYN8E6dos64I0fSF00BbdpQA6ZGjeJVpydPptFJGzfSEOsyDAx1dXUkJCTg06dP0NfXx7t37wDQitMJCQl48+aNiK+Lubk5du/ejZ07d2LBggWVrfb/nSpN8JGeng5nZ2cEBwdDUVGxzP5Xr15Ffn6+cKsFANq1a4dmzZrh4sWL6NOnj9jz8vPzkV8obK0yEcgVJ3/dunVYu3Yt1q9fDysrK+Tn5+Pr168wNzfH/fv3ERMTg7Zt2yI/Px/v3r2Dnp4evn79KlxxKTzvYvILCsB1dAQnKAi8o0dBrK2F4Xecc+fAtbAAad8evNBQoHZt2sbnQ2ruXHDXrgVv+nTwfXwADqdUHar6O6ouYzAdfo0xmA6/xhhMBwnH4HCA3bsh1aABuDNmgPf2LfiLF9Ntovr1gfh4cM3MwNHSAi84GKRfPypg3DhwOBxIu7iAl58PfmFfRjE6qKurIyoqCnp6etDX1xdGqLZq1QqhoaHQ19eHlZUVgoODIScnB3t7e6Snp8PLywt16tTB5MmTf/r3VFVyOaSK1pMIITAxMUG/fv0wb948PH36FC1atMD169fxV2G/jEL4+vpizJgxxZyMevXqBW1tbaxcuVLk+KdPn6CsrAxfX99yGUeVyenTp7Fx40YMHToU9vb2AOhFWrFiBW7fvo1FixahQ4cOAIDs7GwsWLAAb9++xbJly9CkSZNSZXN4PHTfsAGNLlzAlRkzkNa3r7BN7fp19Fq+HB80NPDPnDkoUFCg5+Tno9uWLWhy5gzujB2L/8zMqkhzBoPBYJRE65Mn0fHgQTwxNsatQpnNpbOz0cvHB7X//ReXZ8/Gmx49hOc0i4vDX1u34pmeHm66uIgYMOJ48uQJ5s+fj8aNG2PRokVQ+PYcuH37NpYsWYJevXph+vTpwvIyBw4cQHBwMNzd3TFo0KAq0lw82dnZGDlyJDIzM1GrEncBJF558fT0LGZEFEWw6vD582d4eXlVeHLlRVtbG3Xr1q0S2fn5+YiNjYW+vr4wXX90dDS2bt0KR0dH7Ny5ExwOB3w+Hw4ODrh9+zaCg4OFq0fZ2dkwNTVFRkYGYmNjixluxeQLVlwuXgTv6FF0GzIE3b715Zw8Ca6PD4i+PlT8/GAgyMKbnQ3uiBH0nCNH0G7YMLQrQ4eq/o6q2xhMh19jDKbDrzEG0+EHxjAxQYGmJppPmgR1ZWVaU07QZmoKqZEj0Wf5cvAOHAAZPlx4Dq9bN6iPG4dmDRuCt3MnwOWWqkPv3r1hZGSEHTt2ICQkBIqKijAxMYGGhgZGjBiB2NhYbNy4ERwOB8bGxhg3bhw2b94MHR0dGBoa/rTvSbC9VdlIbLzMmDEDjo6OpfZp2bIlEhIScPHiRWF2WQE9e/aEnZ0dDh48WOy8Bg0aIC8vDx8/fhSJwElPT0eDBg1KHE9GRqbK/jiLjvHPP/9gxIgRMDIywu7duyEtLQ1CCNzc3BAQEIATJ07A2NgYAI2csrGxwfXr1xEXF4e///67dPkATR4XFAT4+UHa2vp7h4MHgbFjgWHDwDl8GFICfTMzae2My5eB8HBIFw6TLkGHquJnXofqKv9njMF0+DXGYDr8GmP8X3SYMAGoWxeckSMh9ekTLZhbowY1Yk6eBMaOhbSDAw3IcHCg54wdC8jJgePgACk+H9i/X2j0iNNBU1MTERERMDAwwPDhwxESEgJ5eXkMGzYMmZmZcHZ2Rr169YT18/bt24cPHz7AxsYGcXFx0CySNqOqvqeq+u4lNl7U1NSgVo7qw5s2bYK3t7fw369evYKhoSH8/f3Ru3dvsef06NEDMjIyiI+Ph/W3B3dKSgqeP39e7Iv+f3Dr1i0YGRmha9eu8Pf3h/S3mkALFizA5s2bsX37dmFkVE5ODoYMGYKkpCSEh4eX6K8jJCcHGDWKOtj6+wOCCCtCgFWraJr/ceNoLSJBYrq0NJoI6dkzICaGerQzGAwG4//P0KGAsjKta6SjQ2sb1atHa8kdOECjREePponsBL4odna03d6eZkw/dKjUIfr164fQ0FCYmprCwsICwcHBUFBQwLhx45CRkQEvLy8oKSlh1qxZkJaWxvHjx2FoaAhjY2MkJSWha9euVf89VBFV5rDbrFkzkX8L6vW0atVK6PORmpoKXV1dHDp0CL169YKysjKcnJwwffp01KlTB7Vq1cKUKVOgqalZ9sO/ihFkw23evDnCw8OFPjYrV66Et7c3Vq1ahYkTJwL4bricPn0aoaGhwiikkuDm5IA7ZAj1Sg8OBkxMaAOfT0PqNm6kdYiWLPme3yUlhZZqLyigYdKdOlWV6gwGg8GoCPr6NN/L4MFA375AVBRNaSElRWsh1apFI40+fgTmzqX3dxsbukozbBi4lpbgOjuXOoSOjg7CwsJgZmYGCwsLnDp1CvLy8vD09ERWVhY8PDwgLy+PKVOmQEFBAWFhYdDW1oahoSHOnz9f7FldXfi/ZtjNz89HSkoKsrOzhcfWr18PU1NTWFtbY+DAgWjQoAGCgoL+j7Ok21bGxsZQVVUVSSq3detWeHp6YsGCBZg1axaA4oaLXinbOACAzExoLl4MTnIyTTktMFx4PLrSsmkTze+ydOl3w+XSJbrKUqMGcPEiM1wYDAbjV6VHD3qflpamGc4vXaLHORya52XpUpp1d+bM7+HSpqZAVBQ4ly+j78KFwIcPpQ4hMGDOnj2L4cOHIy8vDwCwZMkSzJgxA1OnTsXu3bsB0MKPgrp7BgYGSEtLqzLVq5KfZrw0b94chBARh1XBMS0tLeExeXl5bN26Fe/fv0dWVhaCgoJK9Xepal6/fo2FCxdCTk4OsbGxUFVVBUC9tydPngx3d3csWrQIQAUMl4wMSBsYoObz5+BFRQGC7yEvj1aMPnSIfgrndwkPpzWM2renKy6F87swGAwG49ejRQtad65tW3r/PnWKHudw6Kr65s00P8y4cfTFFQAGDQIvJgZKaWmQNjICCtdQEoO2tjZOnjyJ6Oho2NnZoaCgABwOB6tXr4arqysmTJiAw4cPA6DlBWJiYpCTkwNTU1N8+fKlKrWvElhto1L49OkTzMzMkJeXh8jISGGW4ICAADg5OWH8+PFYu3YtOBwO8vLyMHTo0PIbLmlpwKBBQGoqzi9bBtKrFz3+9Sv1dwkOpllyv4VhA6DJ6iws6HZRTAzAsuYyGAxG9aBuXSAujvopWlkBO3d+b5s8mb6oHjxIt42+pQshPXrg/JIltMyAri5QRuSOkZERjh8/juDgYIwZMwY8Hg8cDgebNm3C2LFj4ejoiOPHjwOgOWNiYmLw8uVLLFu2TGQHpDrAjJcSyM3NhaWlJZ4+fYoFCxagefPmAIDw8HCMHDkStra22LZtGzgcDgoKCmBvb4/Y2FiRMOkSEdS7+PQJBfHx+PRNNr58oXujCQnUucvKih4nBPD2BpycqGV+4gTwLa6fwWAwGNUEBQUaeeTqCkycSOsbCbaKRo0CAgOBsDDA3BzIygIAfGrRAgUxMUBqKnX8ffu21CEsLCxw9OhR+Pr6YuLEieDz+ZCSksLOnTsxYsQI2NnZISQkBADQsWNHnDp1Cv/99x9GjhxZpQn9KhtmvIiBx+PB3t4eFy9exMmTJ4WGS0JCAqytrWFqaooDBw6Ay+WCz+fD2dkZQUFB8Pf3F4mfF8vz53R7iM+n2z6CYokfPlDnritXgOhourpCJ0P/0OfPpw6727d/jzZiMBgMRvWCy6VBGIsW0crSs2d/N2AsLKjv44ULtFaSwNelc2fg9Gng9Wu67VRGseLhw4dj//792Lt3L9zc3EAIAZfLxcGDB2FhYYHhw4cjISEBAM0X4+npidjYWDg5OYHP51eh8pUHM16KQAjB1KlTERQUBD8/P/Tv3x8AkJycDHNzcwwaNAh+fn7C/C5Tp07FwYMHcfDgQVhaWpYuXGC4APQP8ZtRJPvxI6T19YF//6WrLgMG0D65ubRexs6dwO7d1IAROO0yGAwGo3rC4QALFwIbNgCrV9O8MAJfF21tID4eePAA0np6kPv4kR7v2BFITKRbR9ra1JApBQcHB+zYsQNbtmzB7NmzQQiBtLQ0fH19oaWlBQsLC1y9ehUA0K1bN+zbtw9HjhzBzJkzq0UhxyqtbVQd8fb2xrZt27B7925YWFggPz8f//33H0aPHo3u3bvj5MmTkJOTAyEEXl5e2Lp1K3bt2gU7O7vSBRc1XNTV6f+/fIn+8+bRkOekpO+RQ9nZgLU17RsURC1yBoPBYPw+uLkBKio0QV1mJnD4MCArC/TqRQvu6uujv5cXLerYqhUN1EhMpNtHWlr0ZfebL6Y4xo8fj5ycHLi5uUFBQQGLFy+GrKwsAgMDoaenByMjI5w+fRoAYGNjg8zMTEyePBlqamo/JTv+j8BWXgqxa9cuLFiwAN7e3hg3bhwA4N9//8WiRYvQpk0bhIWFCfO7+Pj4YOXKlVi/fj2cy4jDL9Fw+e8/SOvogJubi4KEhO+Gy6dP1KnrzBkaXcQMFwaDwfg9GT2a+jEGB9N7vcBxtmNHFJw+DQ6PRzOnP31Kj2to0BfdrCz6XElNLVX81KlTsWLFCixZsgQrVqwAQPOuhYeHQ01NDYMHD0ZGRgYAwNXVFYsWLcKcOXOwa9euqtG3kmDGyzf8/f3h4uKCKVOmYM6cOQCA58+fY/DgwahVqxZCQ0OFRaVWr16NefPmYcmSJZg2bVrpgh8/BgYOpHuahQ2XmzdprhZpaZzz8aGJiwC6l6mtTdtjY6mHOYPBYDB+X6ys6Ivq2bP0nv/NmEDLlji/bBlNajdwIHUtAOjzIjGRZmYfMAD4779Sxc+ePRsLFy6El5cXVq1aBQCoW7cuYmJiAACLFi3CmzdvANCM8ZMnT8bEiRNx7NixKlG3MmDGC4DQ0FDY29vDzs4OGzZsAIfDwevXr6GnpwcOh4NFixYJCz+uXr0aHh4emDdvHubNm1e64Hv36B+WnBxdRREYLmfP0j/ERo1QcPo0vgrKLTx+TA2atDRqWReqJs1gMBiM3xg9PfqCK3gOPHkCAPiqpoaC+HhASYk+T27coP1btaLPEi6XbivdvVuq+IULF2L+/PmYPXs2li9fDgBo0qQJIiMjkZWVBSMjI7x79w4cDgcbN26Eg4MDRo0aJYxM+tX4442XuLg4DB06FBYWFti3bx+kpKTw7t076OvrIysrC1FRUcLEdIUNlyVLloBTmvPstWs0j4uqKjVcBMnkYmJoJFH37tRyrl+fHr9+nRorXC71NK/GNScYDAaDUQH+/ptm4+XzaTbe69fp8caNvz9HtLToMwKgL8RnzwJqavSF+PLlEkVzOBwsWbJEuC20du1aAECbNm2wZMkSpKenw8DAAB8/foSUlBT27t2LIUOGwMbGBomJiVWrdwX4o42Xc+fOwcLCArq6uvD19YW0tDQyMzNhaGiI9PR0xMfHo2XLlgCAtWvXlt9wuXCBOlS1aCFqoAQHA2ZmdFsoIgKoWRMAoHbzJqR1dWn00blzwigkBoPBYPxhtGpFnyHq6pDW1YWawIBRVaUOul270rQasbH0eIMG9DnTti1dvUlOLlX8woULMXfuXMycORNbt24FADRt2hQRERF48uQJjI2N8fnzZ3C5XBw+fBgDBw6Eubm5MDLpV+GPNV6uXbuGwYMHo1evXggMDISsrCyysrIwePBgPH78GLGxsWjXrh0A4OTJk/Dy8iqf4ZKQQOPzu3al2RQFWXB9fWmVUXNzWhL9W5I5jr8/+ixdCtKvHw2PK0fFbgaDwWD8xqipAQkJIAMHoo+3Nzh+fvR4rVq0uKOWFq1/JKj7V7s2XdXv3Jk+fwQrMyWwdOlSTJ8+HZMnT8a+ffsAAF27dkVMTAzu3bsHU1NTZGdnQ05ODkFBQejQoQOMjIyQkpJShUpLxh9pvDx8+BBGRkZo164dTp06BQUFBeTk5MDS0hI3b95EVFSUsFT4li1bcPDgQXh6epZtuERE0MKK/fvTREPfHHyxezdN829vDxw7RkPhAGDjRkiPGoXU/v3BCwqie5oMBoPBYNSoAd6JE3g5cCC4o0d/LyegoEBfgK2sgGHDgAMH6PGaNalh060bdU04d65E0RwOB2vWrMGkSZPg4uIi3Bbq2bMnoqKicPXqVVhYWCAnJ0cYmVSvXj0YGBjgxYsXVat3OfnjjJdXr17BwMAAdevWRUREBGrWrIn8/HwMHz4c586dQ1hYGHr37g0A2Lt3L6ZPnw5LS0ssXry4dMMlPJz+MRkZASEhwLeQamzYAIwfD7i40NpE0tI08sjTE5g2Dbzp03Ft6lRARqbqlWcwGAxG9UFaGtenTAF/0iRaTuBbpBBkZYGjR2m5mDFjaMZegL4AR0QAPXvSZ1FSUomiORwONm/eDEdHR2zatAknTpwAAGhqaiI8PBznz5+HtbU18vLyhJFJHA4HBgYGwtDq/yc/xXjJzc3FX3/9BQ6HgxsCT+kS0NLSAofDEflMnDixUubx8eNHGBkZoaCgANHR0ahbty54PB5GjRqFqKgonDx5EoMGDQIAHDt2DM7Ozhg/fjxGjx5dtuEyZAhddTl+nEYXCeoRubsDHh7Ali003I3Ho3+EK1cCa9eCv2IFPc5gMBgMRlGkpMBftw5YsICWEvDyos8XLhfYsQOYNQuYNo2WjyEEqFGDPpP69KHPpG9J6MSLlsK2bdswYMAAODg44NS3ateDBg1CSEgI4uPjMWrUKPB4PDRu3BixsbF49+4dTExM8Pnz55/0BZQw958xiIeHh7Aic3lwdnZGWlqa8COIS/8Rvn79CnNzc6SmpiI6OhrNmjUDn8/HuHHjcOLECfj7+8PIyAgAEBISglGjRsHe3h6bNm0qv+Hi708tYsHKyvz5wNKlwIoVNB10QQFNSLRnD7B/PzB9+g/rxWAwGIzfHA4HWLwYWLuWPk8mTaIRSRwOfRH28aHlBmbNos8fRUVa3Ld/f1rsNy6uRNFcLhdTp06Fubk5hg0bhujoaACAvr4+/Pz8cOLECbi6uoIQgjZt2iA6OhopKSmwsrJC7rfq1/8Pqtx4iYyMRExMDNasWVPucxQVFdGgQQPhR5AcrqIUFBRgxIgRuHLlCsLCwtChQwcQQuDm5oaDBw/iwIEDsPpWwTk2NhbDhw+HpaWlMHS6RMQZLnw+MGUKXd5btw6YN4/+geXm0v1Jf3/q9+Lo+EM6MRgMBuMPY/p0+vK7axetQp2fT58vXl7Apk3UuHF3pwaMggJ1YRg0iEa5fktIJw4ul4tDhw7B0NAQlpaWwpIBlpaW2LNnD3bu3CnMa9atWzecOnUK58+fh52dHXiCmkw/mSo1XtLT0+Hs7IzDhw8L0+qXh6NHj0JVVRWdOnWCl5cXsgXpkisAn8/H+PHjERERgcDAQGhqagIA5s6diy1btmDHjh2wt7cHAJw5c6ZY6HSJhIYWN1zy8+n+47Zt9I/L3Z32/fKFRhlFRlJHq+HDK6wPg8FgMP5gnJwAPz8gIIA+gwTPxylT6LNn40Zg8mT6Ii0vT585urr0GRQeXqJYWVlZHD9+HAMHDoSpqSnOnDkDABgzZgxWr14NHx8f4SLEoEGD4O/vj+DgYIwfP/7/Uom6ygozEkLg6OiIiRMnomfPnngqqMtQBiNHjoS6ujoaNWqEW7duYfbs2UhJSUGQICRMDPn5+cjPzxc7B3d3dxw4cAD79++Hnp4e8vPzsWLFCixfvhwrV67EmDFjkJ+fj7Nnz8LMzAx9+vSBn58fOByOiNzC8jnHj4Pr6AhiagrekSPU8v38GVxbW3BiYsA7eBBkxAhqzGRkgGthAc79++CdOgWirU2PF5p7UfmVTVWPwXT4NcZgOvwaYzAdfo0xfmsdLC3BCQoC18YGREcHvJMnaR6YcePA4XDAnTQJJDMTvN27aZCInx+4dnbgWFqCd+AASKEX6MJjyMjI4Pjx47CysoKxsTFCQkIwaNAguLm54e3bt5g1axZkZWXh4uICY2Nj7N69G05OTpCTkxNmpy9Jh8qGQySsfe3p6YmVK1eW2uf+/fuIiYnB8ePHkZSUBC6Xi6dPn6JFixa4fv06/vrrr3KPl5CQAF1dXTx69AitWrUSafv06ROUlZXh6+tbbGWHEILDhw8jKCgILi4uMDQ0BEBLAezduxcjRozAiBEjAAB3797FkiVLoKGhgblz50JOTq7E+TSLi8NfW7fi5cCBuD51KgiXC25ODnr7+KDOgwf4x9MTb7p3BwAovHmDvosWQTorC8kLFiCzyPwZDAaDwagoKg8foo+3N/KUlHBxwQJ8/ZYQtfHZs+i+YQPSe/bElZkzwZeRAYfHQ7fNm9EkKQk3XVzwzMCgRLm5ubnw8fHB/fv3MX/+fHTu3BmEEOzbtw+hoaFwdXWFvr4+ACA6Ohrbt2+HpaWl2OCW7OxsjBw5EpmZmT/sAiICkZA3b96Q+/fvl/rJzc0lFhYWREpKinC5XOEHAOFyucTBwaHc43358oUAIFFRUcXaMjMzCQCSlpZG8vLyRD6LFi0iAMiaNWuEx3bs2EEAkOnTp5Pc3FySl5dH4uPjiaKiItHR0SEfP34sJicrK4sEBweTrKwsUrB+PSEAKXB2Jnk5ObTP27eE17cv4Sspkfy4uO/nXr1K+I0aEX7LliTv3r1icsXJL6nPj36qegymw68xBtPh1xiD6fBrjPHH6HDvHuG3bEn4DRuSvMuXhcfzg4MJX16e8HR1Sd6HD/R4Tg4pcHGhz7GNG0sd49OnT0RfX5/UqFGDJCYmkry8PJKbm0smTJhAOBwO2b9/v7DvunXrCACydOnSYvNLS0sjAEhmZqak5kapSLxtpKamBrVyZIHdtGkTvL29hf9+9eoVDA0N4e/vL8yjUh4EodUNGzYssY+MjAxkCuVJWb9+PRYtWoSlS5dixowZAABfX1+4uLhg0qRJWLNmDTgcDs6cOQMzMzNoamri1KlTpfrlyK1fD+68ecD06eCuWQMuhwO8e0dj6R8/BuLiIC3Q6+xZ6iDVogUQGQmZBg3K1LOoDlVBVY/BdPg1xmA6/BpjMB1+jTF+ex3at6cZdU1MIKOnR/O89O0LWFgAkZHgmJlBysSEHldRAbZuBRQUwHVzAxegOcjEjCEjI4Pg4GAMHjwYZmZmiIuLQ69evbBt2zbk5eXByckJNWrUwLBhw+Du7o5Pnz5h/vz5UFVVFUlvUlXfS5X5vDRr1kzk30rfsse2atUKTZo0AQCkpqZCV1cXhw4dQq9evfD48WP4+vrCxMQEdevWxa1bt+Du7o6BAweiS5cu5Rp3165dmD59Ojw9PTF37lwANL2/g4MDRo8ejc2bN4PD4eDcuXMwNjYu23AhBO2OHgU3IIDG2S9aRH1cXr+m9SXS02ldCUEhxZAQYMQIWlQrOPh7ll0Gg8FgMKqC+vVpPhczM/pcCgmhdY60tGjJGiMj+v8xMUC9esCaNTRPjJsbpPLygDZtxIpVVFREaGgoDA0NYWhoiNOnT+Ovv/7C7t27kZubi5EjR0JOTg7m5uZYsGAB3r17h0mTJqF27dqwsbGpUpX/r9nR8vPzkZKSIowmkpWVRVxcHAwMDNCuXTvMmDED1tbWCA0NLZe8gIAATJw4EZMnT4aPjw84HA6ioqJgY2MDa2tr7NmzB1JSUrh8+TJMTEzQu3fvMg0XqfnzoREQAJ6PD42z53CA589pafL372mlT4Hhsn8/9f42NaVWLjNcGAwGg/EzKFz3aPBgGmUE0ErVSUnAmzf0ufXixff8MF5e4M6ahdaCvmJQUlJCREQEWrduDT09Pdy9exdcLhcHDx6EhYUFhg0bhqioKHA4HGzYsAF2dnYYNWqUMF9MVfHTjJfmzZuDECLirCs4pqWlBYBWtkxKSsK7d++Qk5ODhw8fYtWqVeVy8omLi4OdnR1sbW2xceNGcDgcJCUlwcrKCkZGRjhy5Ai4XC5u3boFQ0NDdO7cuUzDBXPngrtqFe6MGQP+zJn0+KNH9A+Ax6PbQ9+KN2LzZmDsWFoKwM+PhqgxGAwGg/GzENQ9srSkecUOHaLHO3Wiz6u8PJq47uFDasAsWwaelxc6HjwIqVKSwSorKyM6OhpNmjSBrq4u/v33X0hLS8PX1xeGhoawsrJCQkICpKSksG/fPhgaGmLIkCG4UEaByB/ht8hLf+PGDVhZWUFXVxf79++HlJQUkpOTYWpqiv79++P48eOQkZHBgwcPoK+vjxYtWiA8PFy4lVWMb4YLli8Hb9UqPLawoMfv3qWGi4ICXXFp2ZIeX74cmDoVmDmTxtlzuT9HcQaDwWAwCiMrC/j60pxjo0dTHxcAaNWKFmusUYM+x+7eBTgc8BcvxoMRI6hPZyE/1aLUqVMHsbGxqFu3LnR0dPDff/9BVlYWAQEBGDRoEMzNzfHPP/8Iw6179uyJwYMH4+7du1Wi5m9hvAwfPhydOnXCiRMnICsrixs3bsDY2Bh//fUXgoODIS8vjydPnkBPTw9qamqIjo6GioqKeGGFDBesXQv+tGn0+PXrNFNhvXp0Ca5Jk+9958yhvjCrVlFrlsFgMBiM/xdcLk2UOmMGTVjn40OfV40b0+dX/fqAtjZw+zYAIGXECPAWLqQlbRYvLlGsmpoa4uLioKioCB0dHTx//hxycnIICgpC165dYWxsjHv37kFBQQGnTp1CixYtMGzYsCpR8bcwXlRVVREeHo4aNWrg/v370NfXR+vWrREWFoYaNWrg5cuX0NXVhYKCAmJjY6GqqipeUBHDRVB7qPaDB5DW16eW6+nT9MLz+TSDro8PdX5auJAZLgwGg8H4NeBwgNWracHGuXNpUUdCADU16sTbuDE1YL5F9PLnzgWWLaMv4vPn075iaNiwoXCLSEdHB6mpqVBUVERYWBgaN24MfX19PH36FMrKyoiKiip5h+MH+S2Ml4CAANSpUwcPHz6Ejo4OGjZsiKioKCgrKyM1NRXa2trg8XiIj48vOeSaEGqlFjFcOPHx6LtwIUjXrkBsLFCnDs2Q6+hIa0ls20bPYzAYDAbjV4LDoYbIxo3UkBkzhj6/6tYF4uOB5s0hbWCA2ikptP+cOdSR19ubukGUYMA0adIECQkJyMvLg7a2NlJTU1G7dm1ER0dDQUEBurq6ePnyJerVq4cTJ05UiWq/hfHSuHFjPHv2DLq6ulBWVkZcXBzq1q2L1NRUaGlpIS8vD6dPny4Wvi2EzwcmTgTWr6f7g4Jqz6Gh4Fpa4l3HjuCFhlJv7uxs6gzl50f3Fb/FyDMYDAaD8UsydSpw9Ch9ZllYAFlZ9EU8Ph6kY0f0XbgQnG/FGOHhAWzZQgsLjx9Pg1PE0Lx5cyQmJiI3NxeDBg3Cixcv0LBhQ8THx6OgoAC6urp4/fp1yc/dH+S3MF7S0tKgq6sLGRkZxMfHo169esUMl5YC59qiFBRQp6Y9e4ADB2ipcQA4fhwYMgTEyAj/eHnREuPv39PY+aQkWuDqW3kBBoPBYDB+aUaOpCk8zp4FdHRoklVlZfDCw/GufXtwzc1pwWEAcHUFDh4E9u2juwwlGDAtW7ZEUlISeDyecAVGXV0dCQkJ+PLlC3R1dZGRkVEl6vwWxsuQIUOQm5uL+Ph4NG7cuPyGS14eYGNDV1GOHaNGDEAvmq0tYGMD3rFj4MvIAC9fUg/thw+p38u3ug4MBoPBYFQLBC/f//1H88GkpQGKivhnzhwQExPAyoo+CwHAweH7s3HUKPqiLwbBCkx+fj50dXWRnp6OVq1aISEhAe/evYO1tXWVqPJbGC8fP35EfHw8mjdvXn7D5etXuv0TFgYEBQGCKpvbtlFL08mJGjHS0lB6+RLSgwbRpbZz52jSHwaDwWAwqhvdu9NUHx8+AAMHAs+egS8jA97Ro4C9PWBnRyOVAJor5vhxICCAHi+hQrS6ujri4+Px+fNn6OnpISMjAxoaGoiLi8OrV6+qRI3fwngJDAxE27Zt8fr1a2hra5fPcLGwoGn9w8NpSmWARg25ugJubsDOnTTc7Pp19PfyAmrWBM6fBzQ0fppeDAaDwWBUOu3b0xdxPh/S2tpQSk0FpKXpNtHkycCECfR5CNCs8QEBNPmdrW2JBkzr1q0RHx+PN2/eQF9fHx8+fBCmMKkKfgvjpUOHDsjIyICenh6ysrLKZ7icO0f3//T0qEf1okXArFk0pGz9euqlfeECpPX1kd2gAQoEoWUMBoPBYFR3mjen/i81a6L/nDk0ZFpKikYmzZ1Ln4cLFtDno6UlEBgInDpFXS3y8sSKbNeuHeLj4/HixQsYGhri06dP6Coon1PJ/BbGS2ZmJgwNDfHmzRvEx8eX33DR0qIXxsODJubx8aEhYhwOjYM3MADp2hUXFi+mntkMBoPBYPwuNGqEgvh4ZKup0VxmFy/S55+3Nw2ZXrqUGjGE0B2KkyfpbsWwYUBurliRnTp1QkxMDB4+fAgTExN8+fKlSqb+WxgvNjY2ePLkCeLi4tBOUGuoKOIMFz6fbhOtWUOtTS8v2jciAjAxAfr1Ay80FAUl1T9iMBgMBqM6o6qKC0uWgHTpQgNR4uLocQ8PWrNPkPeMEFrwMTgYiI4GrK1LNGC6d++OqKgo3Lp1C3Z2dlUy7d/CeHnw4AGio6PRpUsX8R3EGS4FBbSQ4o4dNEx66lTaNzCQLpEZGdElMma4MBgMBuM3pkBRkeYyGzCAGighIbRh8mQaxLJhA/UFJQQwNqbPxvh4Gp2UkyNWZu/evREREYFr165VyZx/C+Pl2LFj+LukCKCsLLrcVdhwyc+nXtVHjtDEPU5OtO/+/TTqyNqaOijJyf00HRgMBoPB+L+hqEiNFgsL+gw8eJAed3GhASybN9NkrjweYGBAc8IkJtLna1aWWJH9+/fH0aNHq2S6VWq8NG/eHBwOR+SzYsWKUs/JycmBq6sr6tatCyUlJVhbWyM9Pb3UczQ1NcU3ZGYChobApUtAZCQ1XHJygKFDaXj08ePUexqgRRXHjgXGjaNGjYxMBTRmMBgMBqOaIitL87qMHUtThqxcSVdbxo+nkUh79tD8L/n5NNglIgJITqbP2Y8fxYocOHBglUxVukqkFmLJkiVwdnYW/rtmzZql9nd3d0d4eDgCAgKgrKyMyZMnY8iQITh//rxkA79/T7/QR4/oHl7v3t9T+589Sy1MY+PvDrtr1gDz5tEiVqzAIoPBYDD+RLhcutLSsCHg6Qm8ffu9LlKNGjTfS1YWTWCnpUWfr8bGgK7u9/p/P4EqN15q1qyJBg0alKtvZmYm9u7dC19fX+jo6AAA9u/fj/bt2yM5ORl9+vQp36Dp6dTxKC2NZsP96y/g82fA1BS4epVai9ra1O9l3Di6PLZx43e/FwaDwWAw/lQ4HBqBq6YGTJlCn5/btlG3CiUluq1kZkadd3v3ps9ZPT1qwMTF0cKPVUyVGy8rVqzA0qVL0axZM4wcORLu7u6QlhY/7NWrV5Gfnw89PT3hsXbt2qFZs2a4ePFiMeOFfKt4+f79++8HU1MhPWQI8OULCoKDgaZNgcePwR0+HJyHD8ELCKBe1S9fgjt2LDgJCeDt2AEydCit9VCE/Px8ZGdn4927d5Cpgq2kqpb/M8ZgOvwaYzAdfo0xmA6/xhhMh0oYw9YWHADcqVNBMjLA27oV6N0bHH9/cEeOBNHWBs/PD2jSBAgMpM/egQNREBQEqKoC+P58JiVUqK4wpApZu3YtOX36NLl58ybZvn07UVFRIe7u7iX2P3r0KJGVlS12/O+//yYeHh7Fjr948YIAYB/2YR/2YR/2YZ9f+PPixYtKtS8kXnnx9PTEypUrS+1z//59tGvXDtOnTxce69KlC2RlZTFhwgQsX74ccpUQydOoUSO8ePECNWvWBIf5qTAYDAaD8UtBCMHnz5/RqFGjSpUrsfEyY8YMODo6ltqnpAy3vXv3RkFBAZ4+fQoNMTWCGjRogLy8PHz8+BEqKirC4+np6WL9ZqSkpNCkSROJ5s9gMBgMBuPnoaysXOkyJTZe1NTUoKamVqHBbty4ASkpKdSrV09se48ePSAjI4P4+HhhGe2UlBQ8f/685HBoBoPBYDAYfxRV5rB78eJFXLp0Cdra2qhZsyYuXrwId3d32Nvbo3bt2gCA1NRU6Orq4tChQ+jVqxeUlZXh5OSE6dOno06dOqhVqxamTJkCTU3N8kcaMRgMBoPB+K2pMuNFTk4Ofn5+WLRoEXJzc9GiRQu4u7uL+MHk5+cjJSUF2dnZwmPr16+HlJQUrK2tkZubC0NDQ2zbtq2qpslgMBgMBqO6Uanuvz8BdXX1Yl7My5cvL/Wcr1+/kkmTJpE6deqQGjVqkCFDhpDXr1+XOVZOTg7p2rUrAUCuX79eat9BgwYVm9eECRMqTb6kOpiZmZGmTZsSOTk50qBBA2Jvb09SU1MrTYeKyJdEhydPnpCxY8eS5s2bE3l5edKyZUuyYMECkpubWyk6VFS+pNfB29ubaGpqEgUFBaKsrFyqbAGjR48upoOhoWGlyefz+WT+/PmkQYMGRF5enujq6pJ///23xP7v3r0jI0eOJDVr1iTKyspk7Nix5PPnz6WOUdp12LJlC1FXVydycnKkV69e5NKlS6XKOn78ONHQ0CBycnKkU6dOJDw8vEwdJRlj//79xeYqJydXYv+kpCRiampKGjZsSACQkydPljmf06dPk27duhFZWVnSqlUrsn///lL7SzrG6dOnxUZ4pKWlie3v4+NDevbsSZSUlIiamhqxsLAgDx48KFOP8l6LisiX9Dps27aNdO7cmdSsWZPUrFmT9OnTh0RERFTK/CsiX9L5F2X58uUEAHFzc6s0HSoyhqR6LFy4sFh/DQ2NKtNBQLWsbbRkyRKkpaUJP1OmTCm1v7u7O0JDQxEQEICkpCS8evUKQ4YMKXMcDw8PiTyknZ2dRea1atWqSpMvqQ7a2to4fvw4UlJSEBgYiMePH2Po0KGVpkNF5Euiw4MHD8Dn87Fz507cvXsX69evx44dOzBnzpxK0aGi8iW9Dnl5eRg2bBhcXFzKnHdhjIyMRHQ4duxYpclftWoVNm3ahB07duDSpUuoUaMGDA0NkVNCgTU7OzvcvXsXsbGxCAsLw5kzZzB+/PgyxxF3Hfz9/TF9+nQsXLgQ165dQ9euXWFoaIg3b96IlXHhwgXY2trCyckJ169fh6WlJSwtLXHnzp0Sx5V0DACoVauWyFyfPXtWYt+srCx07doVW7duLfM7AIAnT55g8ODB0NbWxo0bNzBt2jSMGzcO0dHRlTaGgJSUFBE9SvIvTEpKgqurK5KTkxEbG4v8/HwYGBggq4QaNYBk16Ii8gHJrkOTJk2wYsUKXL16FVeuXIGOjg4sLCxw9+7dH55/ReRLOv/CXL58GTt37iy5uHAFdajIGBXRo2PHjiL9z507VyU6iCCxufN/Rl1dnaxfv77c/T9+/EhkZGRIQECA8Nj9+/cJAHLx4sUSz4uIiCDt2rUjd+/eLffKS1kWc0XlV1SHwoSEhBAOh0Py8vJK7COpDpLIrwwdVq1aRVq0aFFqnx/RoSz5P6LD/v37JVp5sbCwKFdfSeXz+XzSoEEDsnr1auGxjx8/Ejk5OXLs2LFi/e/du0cAkMuXLwuPRUZGEg6HU+pKW0nXoVevXsTV1VX4bx6PRxo1alTi6unw4cPJ4MGDRY717t271FVNSceQ5NoUBeVYFfHw8CAdO3YUOWZjY1PialpFxhCsvHz48KFcMovy5s0bAoAkJSWV2Kci10IS+T9yHQTUrl2b7NmzR2zbj8y/PPIrOv/Pnz+TNm3akNjY2DLvXxXVQZIxJNVj4cKFpGvXruXuXxnXgZBquvKyYsUK1K1bF926dcPq1atRUFBQYt+ysvaKIz09Hc7Ozjh8+DAUFRXLPa+jR49CVVUVnTp1gpeXl4gvz4/Ir4gOhXn//j2OHj2Kvn37lpmlsbw6SCr/R3UAaPmIOuWom1ERHcojvzJ0KC+JiYmoV68eNDQ04OLigndisj9XhCdPnuD169ciOigrK6N3795idbh48SJUVFTQs2dP4TE9PT1ISUnh0qVLpY5V9Dp8/PgRV69eFRlbSkoKenp6JX5/Fy9eFOkPAIaGhiX2z8vLk3gMAPjy5QvU1dXRtGnTMt+uJUVSHX6Ev/76Cw0bNoS+vr5E9eAyMzMBoNS//x/RozzygYpfBx6PBz8/P2RlZZUYmfoj8y+P/IrO39XVFYMHDy42t8rUQZIxAMn1ePjwIRo1aoSWLVvCzs4Oz58/r3QdilLl5QEqm6lTp6J79+6oU6cOLly4AC8vL6SlpWHdunVi+79+/RqysrIieWMAoH79+nj9+nWx/oQQODo6YuLEiejZsyeePn1arnmNHDkS6urqaNSoEW7duoXZs2cjJSUFQUFBPyxfUh0EzJ49G1u2bEF2djb69OmDsLCwStGhIvIrqoOAR48eYfPmzVizZk2l6iCJ/B/VobwYGRlhyJAhaNGiBR4/fow5c+bA2NgYFy9eBJfL/SHZgnnWr19f5HhJOrx+/brY1oO0tDTq1KlTqs7irsONGzfA4/HEjv3gwYMS51veuQJARkaGxGNoaGhg37596NKlCzIzM7FmzRr07dsXd+/erZQ8UiXp8OnTJ3z9+hUKCgo/PEbDhg2xY8cO9OzZE7m5udizZw+0tLRw6dIldO/evdRz+Xw+pk2bhn79+qFTp04S61HW33555VfkOty+fRuamprIycmBkpISTp48iQ4dOlTa/CWRX5H5+/n54dq1a7h8+XKJc/hRHSQdQ1I9evfujQMHDkBDQwNpaWlYvHgxBgwYgDt37ogtxFzRv6NiSLROU0XMnj27zNTC9+/fF3vu3r17ibS0NMnJyRHbLig5UN4xNm7cSPr160cKCgoIIdSxE+XYNqpK+ZLqIODt27ckJSWFxMTEkH79+hETExPC5/Mr7TpIIr+iOhBCyMuXL0mrVq2Ik5NTqdegIjpIIv9HdJBkKbYq5Z8/f54AIK6uruUaY9myZaRt27bF5KipqZFt27aVSx9CCImPjxfKvXDhgkjbrFmzSK9evcSeJyMjQ3x9fUWObd26ldSrV09s/9TUVInHKEpeXh5p1aoVmTdvXpl9UY4tnTZt2hAfHx+RY+Hh4QQAyc7OrpQxxDFw4EBib29fZr+JEycSdXX1MtO3S3otJJVflPJch9zcXPLw4UNy5coV4unpSVRVVcndu3crbf6SyJd0/s+fPyf16tUjN2/eFB4ra0tHUh0qMoakehTlw4cPpFatWiVur1X076gov8TKy8/I2jtu3DiRMXR0dODg4CByrGXLlkhISMDFixeLlS/o2bMn7OzscPDgwXLpkJ2djR49emD37t3o37//D8mXVAcBqqqqUFVVRdu2bdG+fXs0bdoUycnJJS57lleHisivqA6vXr2CtrY2+vbti127domd94/oIIn8iuogKeJ+D5qampg2bRpsbGx+SL4gU/WQIUMwefJk4fFRo0ahXbt2mDt3rvBYy5Yt0aBBg2KOrgUFBXj//n25q8UD9HcK0C2c9PR0kbaSMmgL5itJf1VVVXC5XInOKYqMjAy6deuGR48elat/WZSkQ61atSpl1aUkevXqVarjJABMnjxZ6IRd1iqTpNdCUvlFKc91kJWVRevWrQHQJKeXL1/Gxo0bsXPnzkqZvyTyJZ3/1atX8ebNG5GVMR6PhzNnzmDLli3Izc0tttIqqQ4VGUNSPYqioqKCtm3blti/ItdBLBKZOr8gR44cIVJSUuT9+/di2wVOlidOnBAee/DgQYlOls+ePSO3b98WfqKjowkAcuLECYneHM6dO0cAiFi8FZUvqQ7iePbsGQFATp8+/cM6VER+RXR4+fIladOmDRkxYoRwpUpSStNBUvk/ch1+xBnxxYsXhMPhkJCQkB+WL3DYXbNmjfBYZmZmmQ67V65cER6Ljo4u02G3KILr0KlTJzJ58mThcR6PRxo3blyqw66pqanIMU1NzTIddiUZoygFBQVEQ0Oj1CKyAlBOh91OnTqJHLO1ta1Uh11x6OnpESsrK7FtfD6fuLq6kkaNGpUaJl8YSa5FReQXRZLrIEBbW5uMHj1abFtF/pYkkV+Usub/6dMnkWfB7du3Sc+ePYm9vT25fft2pehQkTEk1aMonz9/JrVr1yYbN26sFB1KoloZLxcuXCDr168nN27cII8fPyZHjhwhampqxMHBQdjn5cuXRENDQySvw8SJE0mzZs1IQkICuXLlCtHU1CSamprlGlPctk7RMR49ekSWLFlCrly5Qp48eUJCQkJIy5YtycCBAytFvqQ6JCcnk82bN5Pr16+Tp0+fkvj4eNK3b1/SqlUr4fbaj+hQEfmS6vDy5UvSunVroqurS16+fEnS0tKEn8q4DhWRL6kOhFCj7vr162Tx4sVESUmJXL9+nVy/fl0kT4qGhgYJCgoihNAf/syZM8nFixfJkydPSFxcHOnevTtp06aN2K1RSeUTQsiKFSuIiooKCQkJIbdu3SIWFhakRYsW5OvXr2J1MDIyIt26dSOXLl0i586dI23atCG2trYVug5+fn5ETk6OHDhwgNy7d4+MHz+eqKioCHPljBo1inh6egplnz9/nkhLS5M1a9aQ+/fvk4ULFxIZGZlSb7ySjrF48WISHR1NHj9+TK5evUpGjBhB5OXlS9we+Pz5s/B7BkDWrVtHrl+/Tp49e0YIIcTT05OMGjVK2P+///4jioqKZNasWeT+/ftk69athMvlkqioqBJ1kHSM9evXk+DgYPLw4UNy+/Zt4ubmRqSkpEhcXJxY+S4uLkRZWZkkJiaK/O0X3sb6kWtREfmSXgdPT0+SlJREnjx5Qm7dukU8PT0Jh8MhMTExPzz/isiXdP7iKLqlUxm/B0nHkFSPGTNmkMTERPLkyRNy/vx5oqenR1RVVcmbN2+qTAdCqpnxcvXqVdK7d2+irKxM5OXlSfv27YmPj4/ITV1gDBReARAkFqtduzZRVFQkVlZWJSZvKoo446LoGM+fPycDBw4kderUIXJycqR169Zk1qxZJDMzs1LkS6rDrVu3iLa2tnA+zZs3JxMnTiQvX76sFB0qIl9SHcQlShJ8KkOHisiXVAdCxCecKyoTgDBpWXZ2NjEwMCBqampERkaGqKurE2dn5xIT4Ukqn5DvSerq169P5OTkiK6uLklJSSlRh3fv3hFbW1uipKREatWqRcaMGSNiHEl6HTZv3kyaNWtGZGVlSa9evUhycrJQ1qBBg4q92R4/fpy0bduWyMrKko4dO5YroZUkY0ybNk3Yt379+sTExIRcu3atRNklJYQTyBw9ejQZNGhQsXP++usvIisrS1q2bFlmkjpJx1i5ciVp1aoVkZeXJ3Xq1CFaWlokISGhRPkl/e0XntePXIuKyJf0OowdO5aoq6sTWVlZoqamRnR1dYWGxY/OvyLyJZ2/OIoaFpX1e5BkDEn1sLGxIQ0bNiSysrKkcePGxMbGhjx69KhKdSCEEA4hhEi20cRgMBgMBoPx/6Na5nlhMBgMBoPx58KMFwaDwWAwGNUKZrwwGAwGg8GoVjDjhcFgMBgMRrWCGS8MBoPBYDCqFcx4YTAYDAaDUa1gxguDwWAwGIxqBTNeGAwGg8FgVCuY8cJgMBgMBqNawYwXBoPBYDAY1QpmvDAYDAaDwahWMOOFwWAwGAxGteJ/hKrGRlHE3tQAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"\n",
"matrices=[np.matrix([[1,0],[0,1]]),np.matrix([[2,1],[1,2]]),np.matrix([[-3,0],[0,-3]]),np.matrix([[-2,-1],[-1,-3]]),np.matrix([[-1,-1],[-1,0]]),np.matrix([[-1,0],[0,1]])]\n",
"\n",
"points = [[0.1,0.2],[-0.2,-0.2],[-0.1,0.1]]\n",
"p=[[0.1,-0.2,-0.1],[0.2,-0.2,0.1]]\n",
"\n",
"t_point = lambda x,y: np.matrix([[x,y]])\n",
"point = lambda x,y: np.matrix([[x],[y]])\n",
"function = lambda x,y,A: (t_point(x,y) *A*point(x,y)).item(0)\n",
"np_function = lambda x,y,A: [[function(j,i,A) for i in y] for j in x]\n",
"derrivative = lambda x,y,A: 2*(t_point(x,y) *A)\n",
"\n",
"\n",
"\n",
"x = np.linspace(-10,11,100)\n",
"y = np.linspace(-10,11,100)\n",
"[X, Y] = np.meshgrid(x, y)\n",
"\n",
"for A in matrices:\n",
" d1=[derrivative(i,j,A).item(0) for i,j in points]\n",
" d2=[derrivative(i,j,A).item(1) for i,j in points]\n",
" Z=np_function(x,y,A)\n",
" plt.style.use('_mpl-gallery')\n",
" plt.figure(figsize=(5,5))\n",
" plt.axis('square')\n",
" plt.xticks([i/20 for i in range(-100,101,10)])\n",
" plt.yticks([i/20 for i in range(-100,101,10)])\n",
" plt.contour(X,Y,Z,levels=[1,2,3],colors='k',linestyles='solid',linewidths=1)\n",
" plt.contour(X,Y,Z,levels=[-3,-2,-1],colors='r',linestyles='solid',linewidths=1)\n",
" plt.quiver(*p,d1,d2,color=['b','r','k'],scale=1,scale_units='xy',angles='xy',width=0.005)\n",
"\n",
" plt.show()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"8.6 [Python] Represent the unit ball in $\\R^2$ for the $p$-norm with $p \\in \\{1.25,1.5,3,8\\}$."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4acbcba781f0482abcc408d14bac5eb4",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=1.0, description='p', max=10.0, min=0.3, step=0.05), Output()), _dom_c…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from ipywidgets import interact,widgets\n",
"\n",
"f=lambda x,p: (1-abs(x)**p)**(1/p)\n",
"x=np.linspace(-1,1,10000)\n",
"\n",
"def plot(p):\n",
" plt.style.use('_mpl-gallery')\n",
" plt.figure(figsize=(15,15)) \n",
" plt.axis('square')\n",
" plt.xticks([i for i in range(-2,3)])\n",
" plt.yticks([i for i in range(-2,3)])\n",
" plt.plot(x,f(x,p),linewidth=5)\n",
" plt.plot(x,-f(x,p),linewidth=5)\n",
"\n",
"slider=interact(plot,p=widgets.FloatSlider(value=1,min=0.3,max=10,step=0.05))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"7.6 [Python] The Gaussian integral $\\int_{-\\infty}^{\\infty}{e^{-x^{2}}dx}$ is linked to the normal distribution and has wide range of applications. Considering intervals of the form [-a,a] and using the trapezium rule, show numerically that $\\int_{-\\infty}^{\\infty}{e^{-x^{2}}dx}=\\sqrt{\\pi}$"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"+--------+-----+-------------------------+\n",
"| n | a | Approximation |\n",
"+--------+-----+-------------------------+\n",
"| 1 | 20 | 7.660678386856186e-173 |\n",
"| 10 | 20 | 4.000000900281398 |\n",
"| 100 | 200 | 1.7724538509055163 |\n",
"| 1000 | 200 | 1.7724538509055152 |\n",
"| 100000 | 200 | 1.7724538509055152 |\n",
"| ∞ | ∞ | √π ≈ 1.7724538509055159 |\n",
"+--------+-----+-------------------------+\n"
]
}
],
"source": [
"import numpy as np\n",
"from prettytable import PrettyTable\n",
"\n",
"f=lambda x:np.e**(-x**2)\n",
"def aprox_gaussian_integral(n,a):\n",
" d_x=(a+a)/n\n",
"\n",
" x_i=[-a+d_x*i for i in range(0,n+1)]\n",
" value=f(x_i[0])+f(x_i[n])\n",
" for i in range(1,n):\n",
" value+=2*f(x_i[i])\n",
" value*=d_x/2\n",
" return value\n",
"\n",
"table=PrettyTable()\n",
"table.field_names=[\"n\",\"a\",\"Approximation\"]\n",
"table.add_row([1,20,aprox_gaussian_integral(1,20)])\n",
"table.add_row([10,20,aprox_gaussian_integral(10,20)])\n",
"table.add_row([100,200,aprox_gaussian_integral(100,20)])\n",
"table.add_row([1000,200,aprox_gaussian_integral(1000,20)])\n",
"table.add_row([100000,200,aprox_gaussian_integral(1000,20)])\n",
"table.add_row([\"∞\",\"∞\",\"√π ≈ {}\".format(np.pi**(1/2))])\n",
"print(table)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"6.7 [Python] Choose a function f, a point x and compute f(x). By taking a range of small values h, show that the errors when approximating f(x) with the finite differences above are proportional to h and h^2, respectively."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1e66d2be090>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1500x1500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"y_f=lambda x: 2**x+5*(x**3)\n",
"y_derr=lambda x: (2**x)*np.log(2)+15*(x**2)\n",
"\n",
"y1=y_f(1)\n",
"y1_derr=y_derr(1)\n",
"\n",
"y_derr_aprox1=lambda h:(y_f(1+h)-y_f(1))/h\n",
"y_derr_aprox2=lambda h:(y_f(1+h)-y_f(1-h))/(2*h)\n",
"\n",
"n=np.linspace(1,0,100,endpoint=False)\n",
"\n",
"plt.style.use('_mpl-gallery')\n",
"plt.figure(figsize=(15,15))\n",
"ax=plt.gca()\n",
"ax.invert_xaxis()\n",
"plt.plot(n,y_derr_aprox1(n)-y1_derr,\"-o\",color=\"blue\",label=\"O(h)\")\n",
"plt.plot(n,y_derr_aprox2(n)-y1_derr,\"-o\",color=\"red\",label=\"O(h^2)\")\n",
"plt.plot(n,20*n,color=\"red\", label=\"20*n\")\n",
"plt.plot(n,5*(n**2),color=\"blue\", label=\"5*n^2\")\n",
"plt.legend(prop={'size': 20})\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"5.8. [Python] Let f:R→R be differentiable, x1∈R and consider the gradient descent xn+1=xn−ηf(xn),to minimize f with the so-called learning rate η >0. \n",
"(a) Take f to be a convex functionand show numerically (plots allowed) that for small η the iteration converges to the global minimum off. \n",
"(b) Show that by increasing η the algorithm can converge faster. \n",
"(c) However,taking η too large might lead to divergence. \n",
"(d) Take f to be nonconvex and show that the algorithm can get stuck in a local minimum."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0833cd12a4f44df199718c4c0da36371",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(RadioButtons(description='Select Function:', options=('0.05*x^2', '10*sin(0.1*x+10)', '0…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9761e08b966343588e585636e6f09bfd",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=1.0, description='niu', max=11.0), Output()), _dom_classes=('widget-in…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d5f8462dcfcf401b92a8f28865e6c6e3",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=0, description='n', max=300), Output()), _dom_classes=('widget-interact'…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from ipywidgets import interact,widgets\n",
"\n",
"x=np.linspace(-100,100,10000)\n",
"\n",
"y1=np.vectorize(lambda t:0.05*(t**2))\n",
"y1_derr=np.vectorize(lambda t:0.1*(t))\n",
"\n",
"y2=np.vectorize(lambda t:10*np.sin(0.1*t+10))\n",
"y2_derr=np.vectorize(lambda t:np.cos(0.1*t+10))\n",
"\n",
"y3=np.vectorize(lambda t:0.0001*(t**4)-0.2*(t**2)+0.001*(t**3))\n",
"y3_derr=np.vectorize(lambda t:0.0004*(t**3)-0.4*t+0.003*(t**2))\n",
"\n",
"y=[y1]\n",
"y_derr=[y1_derr]\n",
"label='0.05*x^2'\n",
"\n",
"n_slider=widgets.IntSlider(min=0, max=300, step=1, value=0)\n",
"niu_slider=widgets.FloatSlider(min=0, max=11, step=0.1, value=1)\n",
"\n",
"x_n=[40]\n",
"def generate_sequence(niu):\n",
" global x_n\n",
" x_n=[40]\n",
" for i in range(1,301):\n",
" x_n.append(x_n[i-1]-niu*y_derr[0](x_n[i-1]))\n",
" if n_slider.value==0:\n",
" n_slider.value=1 \n",
" n_slider.value=0\n",
"\n",
"def set_function(x):\n",
" global label\n",
" label=x\n",
" match x:\n",
" case '0.05*x^2':\n",
" y[0]=y1\n",
" y_derr[0]=y1_derr\n",
" case '10*sin(0.1*x+10)':\n",
" y[0]=y2\n",
" y_derr[0]=y2_derr\n",
" case '0.0001x^4-0.001*x^3+*0.2*x^2':\n",
" y[0]=y3\n",
" y_derr[0]=y3_derr\n",
" niu(niu_slider.value)\n",
" n_slider.value=0\n",
"\n",
"\n",
"def plot_x(n):\n",
" plt.style.use('_mpl-gallery')\n",
" plt.figure(figsize=(15,15))\n",
" \n",
"\n",
" plt.axis('square')\n",
" plt.xticks([i for i in range(-100,101,10)])\n",
" plt.yticks([i for i in range(-100,101,10)])\n",
" plt.plot(x,y[0](x),label=label)\n",
" plt.plot(x_n[n],y[0](x_n[n]),\"ro\",label=\"x_n\")\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"\n",
"\n",
"function=interact(set_function,x=widgets.RadioButtons(\n",
" options=['0.05*x^2', '10*sin(0.1*x+10)', '0.0001x^4-0.001*x^3+*0.2*x^2'],\n",
" value='0.05*x^2',\n",
" description='Select Function:',\n",
" disabled=False\n",
"))\n",
"\n",
"\n",
"niu=interact(generate_sequence,niu=niu_slider)\n",
"n=interact(plot_x,n=n_slider)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"________________________________________________________________________________________________________________________________________________"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"4.5. [Python programming] Show numerically (plots allowed) that:\\\n",
"\\\n",
"$\\sum_{n=1}^{\\infty}{\\frac{(-1)^{(n+1)}}{n}}$\\\n",
"\\\n",
"Illustrate computationally that changing the order of summation in this series can lead to a different sum."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1500x700 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"n=int(input(\"Enter a number: \"))\n",
"plt.style.use('_mpl-gallery')\n",
"x_n=[((-1)**(i+1))/i for i in range(1,n)]\n",
"y_n=[sum(x_n[:i]) for i in range(1,n)]\n",
"x=np.linspace(0,n)\n",
"plt.figure(figsize=(15,7))\n",
"plt.plot(y_n,\"--o\",label=\"Sum\")\n",
"plt.plot(x,np.log(2+x*0),label=\"ln2\",color=\"red\")\n",
"plt.legend()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1500x700 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"n=int(input(\"Enter a number: \"))\n",
"plt.style.use('_mpl-gallery')\n",
"x_n=[((-1)**(i+1))/i for i in range(1,n)]\n",
"y_n=[0]\n",
"i=0\n",
"while i<n/2-2:\n",
" y_n.append(y_n[-1]+x_n[i])\n",
" y_n.append(y_n[-1]+x_n[2*i+1])\n",
" y_n.append(y_n[-1]+x_n[2*i+3])\n",
" i+=2\n",
"\n",
"x=np.linspace(0,n)\n",
"plt.figure(figsize=(15,7))\n",
"plt.plot(y_n,\"--o\",label=\"Sum\")\n",
"plt.plot(x,np.log(2+x*0)/2,label=\"(ln2)/2\",color=\"red\")\n",
"plt.legend()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.11.0 64-bit",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.0"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "b5b8cee75453e6339a52f10e365378a2d2bdf015ccb274857a7a67016c5d1d3d"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}