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@comcon1
Last active November 5, 2021 22:44
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Plotting rotating phase portraits: centrum&focus
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from scipy.integrate import odeint\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Centrum example"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ortho-eigen vals [3. 1.]\n",
"Ortho-eigen vecs [[ 0.70710678 0.70710678]\n",
" [-0.70710678 0.70710678]]\n",
"L = 1.7320508075688772\n",
"v = [[0.70710678]\n",
" [0.35355339]]\n",
"w = [[ 0. ]\n",
" [-0.61237244]]\n"
]
},
{
"data": {
"image/png": 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aNYOlpaXSCYJVVFSwaNEi9O7dG9u3b4eRkREGDx6MGTNmoEePHkqXVVVVFT/99BN69eoFPz8/hISEICAgAI6OjkprAsD48eOxePFiEBHc3d2hpaVV+cGK4nd9rC9FsSijoqKUC17GIYcOHaIRI0aQTCajgQMH0rRp06i4uJicnZ3LJbEcNWoU6/fKyMig3NxcIipJjNqjRw+FGQ2kUilZW1tTfHw8icViat26NUVGRla6vapzFPExfO+fKuBjUVaAi1izpTAMQ7GxseTn58cqvmlqaipt27aNlixZQl999RUNGTKEunXrpnRao1LS0tKoW7duZdeBhoYGBQcHs9IkInr79i1ZWFgQADIyMuIsZ6aXlxfp6OiQra0tJzkuiYjWrl1Lq1atoubNm1N2dnb9TZejbEXLMAwnwYiJSi64Nm3akIuLCwUEBFDXrl3J2dmZfvnll3LHKWNw79+4T548obZt25Krqyu1atWK1q1bV27/wIEDywL6BgYGkr29PdnY2NCGDRvK9BRtL6Wqfe/y7vfOdVoVkUjE2W9TChfBsd9FKpWyTqT6PjXNAVhTg5PJZGUPQ1zBNlh0fHx8ud+2oKCAXr9+rbReeHg4TZ06lY4dO0YymYxSUlLo4cOHVFhYWCudN2/e0JEjR2jy5MlkaWlJAMjNzY38/Pzo1KlTShtISEgI9ejRo+w309bWphEjRtDmzZtZGYhIJKKvvvqKAJCamhqZm5uTj48PK0MmIgoLCyMDAwPq168fGRoa0unTp1npEZVkM79w4QKNGTOGWrRowUn6LoZhSCqVUs+ePcnLy6t+GJyLi0uFD6qMwTEMQ8nJybWOiF8VQqGQnj17pvDGysrKopkzZ5KNjQ1t2rSpxmVMTU2lV69ecVbZi0QiioyMpLy8PNZaUVFRxDAMbdmyhdq0acNJ8lOikpuhbdu2tH//fk70JBIJrVu3jpo3b05FRUWcaAYHB1Pr1q3Jx8eHE73U1FSaNWsW6evrU1ZWVrXHV2dw+fn59PPPP5O1tTXNmjVLqTLl5eWVtTTS0tJo586d1K1bN1JRUaGEhIRa6+Xn59OiRYvI2dmZTp8+Td999x116NCB1NTUaOzYsbXSEovFdPz4cerevXvZd9GkSRNSU1Mra9HUNtltWloa/fbbb9SzZ89yGcjbtWtHDg4O5O3tXSu9d2EYhs6dO0cODg7Ut29fWr58OXl4eNCtW7eU1izV/fXXX2n//v3k5+dHX331FSd1xb1794hhGDpw4ABdvHiRtV4pUqmUNm3aVOuHj6pITk6mEydO1A+D46IFxzAMJSUlUXh4OGdfdFFREUVERFR4OlUWhmEoMTGRHj9+TAKBgIMSljwph4eHU1xcHCfdOZGRkeTt7U2NGzemGzducFBCoiNHjlDDhg1p8uTJnPw2z549Izc3N2rRogUnZczIyKApU6aQuro6LVy4kPVvk5OTQ0uXLiVtbW1yd3enkJCQGp33vsHdvHmTiEqyaM+fP5/09fXJ0dGR9u7dq5Sp//PPP2RlZUVTpkwhDw8PUlVVJVdXV9q0aVOtHwplMhkdOHCATExMysptYWFB48ePp927d9PTp09rdT0yDEMBAQE0c+ZM6tKlC+no6JSlNwoPD6eMjAzW9+Dr169p27ZtNGfOHFY67yOVSunOnTucahKR0sl96xO8wdH/jCM8PJyzp/mCggJ6/PgxJSUlcWJuXOecIyppQYaGhlJKSgonZRQKhXT9+nVyc3PjpE+9oKCAvvzyS9LV1aWjR4+y1pNKpbR582bS1NSk6dOn17jrrzJkMhnt2bOHDA0N6bPPPqt0XLI6BAIBPX36lIqKimjz5s1kYGBA7du3pytXrtTqdyk1CoZhaN26ddS0aVPy9vYmNTU18vDwoMDAQKUeYmQyGfn4+JS1hAwMDGjlypVKf16RSEQ+Pj7k7u5Obdu2JSsrKzI0NOSsdV5a5levXtHVq1c50+Spe3zyBscwDCUkJFBERARnxpGfn09hYWH05s0bToxDKpXSixcvKDIykpOnstKEqqGhoZSdnc1aj4goNzeXHj9+TH///Tcn32NERAQ5ODhQu3btKDo6mrXeixcvqHPnzmRubk5BQUFK65ReV48ePaIOHTqQqakpHT16VOnfOT8/n7p160bDhg2jpk2bUsuWLenkyZNKGVGpwX3++edlf/fp04fV5IW3b9+Sl5cXmZubU8uWLalt27bUs2dPevLkidKalcH1+CoPzydtcAzDUHx8PEVERHA2MSAnJ4dCQ0MpLS2NEz2RSETPnj2jly9fsh4oJippCcbGxlJERAQVFBSw1mMYhlJSUig0NJTS09NZz6JkGIZ27dpFmpqaNHfuXFYTVdLS0kgmk9G2bdtIS0uLJk+ezGpyxdOnT8nCwoK+/vprUldXp2+//ZaVXl5eHnXp0qXMjH7++WdWv3GpDgBq1qwZdevWjWbOnMnJ78zDUxepzODq3Dq42lKaObuwsBAODg5Vr5moIVlZWUhKSkKLFi2UXnvyLsXFxYiJiYGenh4n2celUiliY2PBMAwcHR2VTqhaikwmQ0JCAoqLi+Hg4ABdXV1kZ2fXWkckEkFLSwu5ubmYOnUqbt++jZMnT2LYsGFKl83X1xc3b95EQkICYmNjcfLkSQwdOlRpvaSkJAwYMACpqam4ePEiHjx4gHbt2imtl5eXh379+uHRo0fQ09ND+/btoampyUkeO6FQyMn1zMNTX6nXBlea40woFMLBwYF1RQ+UxFd78+YNJ/EvgZKMCKUJWtnmdANKzDI2Nhba2tqwsbFROpUOUUmGbKFQiNjYWKirq5dEetHQULps33zzDUaOHIk5c+agefPmePLkSbnQYLUlJCQEM2fOhEQiwfDhw3Hu3DlWAbezsrLQv39/pKamQlNTE/b29pDL5UrrAcDVq1exYMECuLm5wdbWlvXDy7vw5sbDUzX11uAYhkFcXBxEIhEcHBxYVcxASYX/9u1bpKWlwd7eHvr6+tWfVA3Z2dlITEyEhYUFTE1NWevl5eUhPj6etVkyDIP09HRoamoiMTERxsbGaN68OavK2dfXF76+vvDz88Py5cuxdu1aVq2YN2/eYMSIEZBIJFBVVYWqqirU1dWV1hOLxdi4cSNGjRqFPn36oFu3bqxz4gEl4Yp4eHg+DPXS4BiGQWxsLCQSCWfmlpycjOzsbLRs2RK6urqs9dLT05GSkgJra2tWaXnEYjHkcjkEAgFSUlJgaWnJOg9bSkoKMjIyAICTbtjnz59j1qxZAEo+e6NGjVglaRUKhZgwYQK6dOkCLy8vDBkyhHUZNTU18fPPP7PS4OHh+biodwYnl8sRGxsLmUwGBwcHVk/1QEmFnJiYCIFAAAcHh1qn0XkXkUgETU3NMrNk2xIkIiQlJUEsFkMmk3HSshQIBGVpLtTV1Vl3gxUVFWH06NGwtLTEpEmTMGHCBNjY2LDSLC4uRlBQEKvfgoeHp/5TrwxOLpcjJiYGDMOgZcuWrMxNLpeXZQIonVzBprIvLZu2tjaKiopYmyVQMmZUmtXcyMiItV5pEGtVVVUYGxujcePGrBO0Pnv2DEePHkX79u05S8fBNrEtDw/Pp0G9MDgiKjMQAGjZsiWr8R2xWIzU1FRIpVJIJBI4Ojqy7uZ8+/YtxGIxxGIx7OzsWJnRV199hYsXL0JfXx9//vknDAwM0Lhx4wrdfkFBQZg3bx7kcjmmTZuGpUuXVrk9OzsbL168wOrVqyvsU5YuXbqwOp+HpyYwDCG7SIIrz9PgcyEKEjnDmfbkblbwamcORzM9aKkr37XO89+jUrKEoG7QoUMHCg0NLbft8ePHsLOzQ0pKCgDA3t6e9RTs2NhY5OXlQUNDA05OTqy7OYVCIaKiokBE0NHRgZmZGQwNDZVu0dy5cwf5+flYtGgRnjx5orBlKZfL0bJlS1y7dg0WFhbo2LEjjh8/DgcHB4XbnZ2dKz1HUbLCFy9ewMnJSany87Cj9LqpS/cuW2RyBsGxWZh8+NGHLkoFerVsgq3erWGiz89q/S8oLi6GlpZWuUlvKioqYUTU4f1j63QLTi6XIzc3FzExMWjYsCHs7e1ZTV4ASsag8vLyyv4XCoU1Mrjz58/Dz88Pp0+fLtu2Z88ePH/+HHPmzIGenh7MzMygp6fHuquuZ8+eSEhIqHKM7OHDh7Czsysb7xo3bhwCAgLg7u6ucLuzs3Ol53CVjZeHpzrkDOHPR6+x4mzdSeJ7JzoTnTbdqLD93tI+MDdgPxOXpzzFxcVYsWIFtm/fXm1dWqcNzs/PD82aNQMRgWEYyOVy9O1b0eDGjAFmzQKKi4FBgyrqTJ5c8srMJAwapAagpEtSXV0dt2/XzIxWrFiB48ePl9tma2uLU6dOoXnz5tWOZdUm4amqqmq1Rp6SklJujZmFhQUePHhQ6faqzuHh+TeQyRmsvfAcf9x/zVrL280CG7xc/rUuxGKJDDOPhuFuTFaNz+m+5Wa5/4OX9IaF4ac1Merhw4coKChA3759OdNs3Lgxjh07BmNjY6xcubLKYz+4wamoqKgBCAWQQkRDanpeYWEhVq5cicOHD6Np06YwNTVl3TVZUFAADQ1tqKs3QEme75rx5MkTMAwDFxcXJCUl4dKlS/jmm28glUqhpqaGa9euITAwEAKBAFOnTkW/fv0qaNy9e5dV2Xl4PnbiMgvRd9sdpc6d0t0Ka4a24rhENUdHowGOTu2scB8RYapfKG6+zKhSo8cPt8r+XjzAAbPc7TgtI1vu378Pa2trTtbkltK2bVs0a9YMixcvxqJFizibaNaqVSusWrUKRkZGZUuQFPHBDQ7APAAvANRqfvtvv/2GcePGlaVtL+X27crP0dGper+NjT7u3atNKUqIiIiAm5sbAODatWtlk12ioqLQpk0beHl5wcvLC7m5uVi4cKFCg6tNC64mmJubIzk5uez/N2/elH1XirZXdQ4PT02Ij4/H+FHDEPH8Jdq2csTuI6cw6lh8rTT6tzLFvs8rDKV81KioqODQ5I7lthERrJddqvScH4Ne4cegVwCAlYOdMLWHda0q/5iYGFaRihRhaWmJ1q1bY9q0aVi4cCEnkZo0NDQwePBgLFmyBA8fPsThw4ehp6fHWtfZ2Rm3b9/GnDlzqiznBzU4FRUVCwCDAWwEsKA2586YMQOGhoZ48eLFv1K22sAwDAoLCyGXy3HmzBmYm5tDKBTC19cXR48eLTtuw4YNmD17tkINrltwHTt2RExMDBISEmBubo4///wT/v7+cHBwULi9qnN4eGrCuFHDMLJxPG4t0sGOh/Hw7D8A+l/srvT45kbauLu4z39Ywv8OFRUVJG4ZXPY/wxBslis2vA2BL7AhsKQeu77gM9iZVG8Aqamp6NWrFz777DP0798f/fr1Y/0w2qxZM3zzzTdYt24ddu/ejUWLFmHu3LmsA1uMHj0aR44cwenTp5GVlYWAgAA0atSIlWarVq1gaGgIAwMDdO6suGUN4MNmEwDwFwA3AO4ALlZyzAyUdGGGWlpaVogizTaqPRekpaVRmzZtyMXFhQICAqhr167k7OxMv/zyCxGVRM5fvHgxXbt2jZP3GzduHJmZmVGDBg3I3NycDhw4ULZv4MCBlJKSQkREgYGBZG9vTzY2NrRhw4ayYyrbXt2+d/kYvvdPFVST0fu/JCW3mFosuUgtllwkNTVVKlquR7RGn4qW65GammrZvhZLLtLlZ2//1bLEx8dzlokjKSmJrly5Qjt27KhxIlpFyGQy2rx5M5mZmZGtrS21a9eOevXqRU7LAsp9N++/lp6uPk3RsWPHyq4FVVVV2rt3r9LlLKWwsJCaNm1KAMjZ2ZnCw8NZa4pEIjI0NCQDAwPatWsXaz0ioufPn1NcXBzp6+vT+fPnP750OQCGANj9/39XanDvvrjI6P0uXOelqkzv119/pfbt29PMmTNpz549nGgqC1d6737vXFQq7yKRSDj/3FxnPZbJZJxr1jSLeU0NTi6Xs846/v5vm56eTjdfpCuslA2bWtJmD20qWq5Hmz20ydberoIewzB0+vRpun79OhGVJIFNTk5Wunypqan0yy+/UOfOnaldu3YUERFB9+7dUyp1UF5eHs2dO5e0tbXLGceWLVIS6gsAACAASURBVFvKsqYry40bN8jMzKxMd9q0afTy5UsioiqNrsWSi1XeCxs3bizTnDFjBic5Gg8cOECtW7cmLS0tzgzp0qVLdObMGdLS0qLnz59zoklEtGLFCurQocNHaXCbAbwBkAggDUAxgD+qOsfFxaXCB1TW4FJSUighIUGpcxUhFospMjKyxpVUTUhLS6NXr15xVtmLxWJ6/vw55eXlsdYq/d53795Nbm5unJlcUlISdenShQ4ePMiJnlwup59//plsbGw4y+IeHh5OnTp1Ih8fH070srKy6PvvvydDQ0PKysqq9nhFBscwTFmlLhAIaOfOnWRnZ0ezZ89Wulz379+nL774ghITE+nrjfuqrYibzTxAndq2Ig11NerUthXFxcWVK9/Vq1dLKyPq3bs3tWzZklRUVGjs2LG1LltsbCwNGzaMVFRUyuXHU1FRoYYNG1JYWJjSnzskJIRGjhxJKioqZGRkRL169aLx48crrVdKeno69e/fnzp37kyjR4+m27dvl9ufWSCq8vuVyyvWAwzD0LRp0+jEiRM0a9YspRLovo9MJqOwsDAKCgqiCxcusNZ7l71791JmZiZnellZWXT06NGPz+DKFeI/bsGlpqZSWFgYZwkiRSIRPX36lGJiYji5wEqTi4aFhXFiRkRExcXF9OTJE4qOjiaZTMZa7/nz5zRr1izS1dWl8+fPc1BCosuXL5OxsTGNGDGCk8/9+vVr6tOnD5mYmHByoxYUFND8+fNJXV2dvvnmG6WToJa2qgoLC2nDhg2kr69PnTp1olu3btXo/PcNTiQS0aRJk+jo0aO0YMEC0tfXJ3t7e9q1a5dS17hEIqFVq1ZRQ7tO1ZraghMR1eqFhISQu7t7OSPq3r07+fv708uXL5W+HiUSCYWEhNCmTZvI09OTWrVqxSpx7vtER0fTggULOG2py+XyCsamiMq+b4eVlyocK5FIOO9NqGtUZnAfRSQTFRUVdwALqZplAooimdQ2okZaWhpSU1Nhb2/PyWwesViMV69eoWHDhrC2tmad74uIygVjZjvAC5Qsf4iNjYWRkREsLS1ZT9WVyWQIDg7G1KlTcf78ebRqxW76tlwux7p16/DDDz9gy5Yt+O6771iX0d/fH7NmzYK7uzv279+vVIYFIoJYLIaWlhbOnTuHb7/9FkZGRti3b5/SIcjCw8OxadMm9OnTBz4+PmjUqBE2bdqEESNG1PgzvxvJJDMzEyNGjMC9/5/+6+Hhge+++w4DBw5U6loMCY/E+BNJVR5zaHIH9HGs+VTyoqIivH37Fm/fvkVqairevn2LwsJCLFmyhHWUoHeRSCRgGKZe5cmzWhqocPuqIc6Y2sP6Py7Nx0tlkUw+CoOrKWwNrjRFDVfmJhKJEB0dDV1dXVhb126aryIYhkFSUhIEAgHs7e05iZafk5ODhIQENGvWDGZmZqzLWJoANTs7G66urqwDH2dkZGDChAl4+fIlTp48iW7duimlwzAMVFVVkZOTg9mzZ+PixYv49ddfMWXKFKU/8/r162FtbY1Tp07h+vXr8PHxwbx585Reb/n48WN4eHggNzcX5ubmWLduHb788sta65V+nqioKAwZMgTx8SVT8Rs1aoTLly+ja9eutdKraoZfKYendERvB5Na6fJwR2VGF77KE4YN2cXJrQ/Uy1BdpRBRtZVYRkYGUlJSYGdnx4m5CYVCREdHQ19fH1ZWVpyY27sJWtk+hRL9L+eclZUVJxH4SxOqGhkZQU1NjbVmcHAwxo4dCxcXF4SHhyudx04kEmHZsmUYNGgQpkyZAisrKzx58oRVWh5fX1+sXr0aADBs2DC8ePEClpaWSuuFhYXBw8OjLAycra0tRo0axSo4walTp/Dtt9+iRYsWZa/a5BY88eg1lpx+Vun+b9xtsWSAo9Ll4+GO0iUH7xtdu/XXyu3nKU+db8ElJCRAT08PxsbGlZpMRkYGkpOTYWdnx3r9BVBibq9evYKhoSEnXX7v5rCzt7fnNEGrra0t6xxxRFTWtWthYQE1NTUUFBTA2rr2XSSvXr1CUlISnj59ihUrVmD58uVYuXKl0gtWiQjTp0+Hr68v1NTUsG7dOixatIjVAtgrV65gyJAhkMlkAIDNmzdjyZIlSv/OUVFRWLx4MWxtbdGhQwe4ubnBwcFB6TKyCbZck9YaX1l+3GQVitFhw/UK28NWesBYV/MDlOjDU2+7KKVSKd68eQORSKTwnIKCAuTm5qJJkybQ1mYf+FQikSA9PR0NGzZklYm7FLlcjoyMDKioqMDExIT1GB7DMMjKyoJEIoGJiQkrsyxN0JqdnQ2hUIgmTZpAS0sLWlpasLCwqPX4iVgsRteuXcuipfj7+8PT01Pp8gHAvn378PXXXwMoWah69uxZdOrUSWm9x48fY+jQoejQoQM8PT3h6emJli1bchZiiAuUMbgnyXkY/lvlYXqiNwyERgN21x7Pf4uibsv2lgY4M6v7ByjNh6XedlGqq6tX2pI4dOgQZs2ahVOnTqF9+/as3+vRo0fo168fpk6diq1bt7Ku9JKTk+Hp6QlLS0ucPXuWVXLRpKQk6OjoYOjQoRAKhbh06RKryAYpKSno2rUrbGxsIBaLcf78edja2iqtBwDLli1DeHg4AMDb25uVEQFASEgIvv32W7Rt2xbe3t4YNWoUHB3Zdanp6ekhMTGR08kPH5K2PleRVyxVuG9w66b4bQL7+4Lnw5C4ZXCFFvnj13mwWhqIhM2DPqqHsg9FnTe4yjhy5Ai++eYbnDhxAkOHDmWtFxISggEDBmDOnDnYsGGD0hePRCKBqqoq4uLi4Onpic6dO+OPP/6ApqbyXQu3b9/GmjVrkJqaCmtra1y9epVVt2Rpt19+fj6ePn2KP//8k9V4FgBcvnwZP//8M0xNTfH5559j8uTJrLqLS8csX7x4wdp438Xe3p4zrQ+FnCHYVtENGbdpENRU+cqvPqCqWhIS7P3WnPWyS4hY7QkDnU97Akq9NLhjx45h+vTp8Pf3h5eXl9I6pZNX/v77bwwePBgLFy7E6tWrWT0Z7dy5ExoaGli/fj2GDx+OvXv3shovEovFmDlzJqKjo+Ho6IhTp06xHnPz9fXF5cuXoa2tjQkTJsDW1pbVZ87NzcWFCxdw4cIFDBgwgHXWB6AkZdCkSZNY69Qn8oolaOtzrdL9/Nha/SVxy2BEpxeg389/l21r63MNeye5YYCL2Qcs2Yelzo/Bvc+JEyfwxRdf4OjRoxgzZgyr99u+fTvatGmDYcOGYeXKlVi2bBkrvbS0NLRs2RIFBQWYNWsWdu3axbobYd26dVi7di1UVFQwYsQIrFq1Cm3btlVaLzk5GV5eXpgwYQKmTJnCyTgjD7e8PwYXkZwHr0rG1/Z/0QGeztylP+H5+Hm/NdfaohHOz+nxgUrz31BvJ5kAJRM17t+/j7dv32LixInw9fXF+PHjWb3Xw4cP0blzZ2hpaWHjxo1YsKBWyQ4UMnnyZPj5+QEABgwYgGPHjrEykFevXqFz584YP348FixYwEn3Wnp6Opo0acJ6sgvPv0epwZ19/AbfnYhQeEzMxoFQV+N/w08VRRNQ6nMLvjKDqxd3wNGjRzF58mRMnDgRBw8eZG1uRISFCxcCKOkCzMnJUWpK9rvcv38ffn5+6NevH+7evYvLly+zbh0lJycjOjoae/bs4WzsyNTUlDe3OoIic0vcMhiJWwbz5vaJo8jMKlssXlcJCAio9pg6fxeIxWKsWbMGsbGxaNasGSwsLFhrBgQE4O7du3BwcMCJEyfg4+PDqiuRYRgEBQUhJCQEV65cQY8e3HQXeHh4wMSEjy7xqbDgRESllVSpsfHwlJK4ZTDsTcqH+vsQJicWi5GYmMi57sqVKxEbG1vlMXXe4Pbu3YvXr1/D2NgY8+fPVzrUUykSiQS7d+/GoUOHEBkZidGjR7Nu0aiqqmLt2rVKxy/k+bRZcLLE2M6Ep1TYxxsbT1VcW9AL4zo2L7etKpMrKipi3Vv1PhoaGhg/fjzy8/M51S0oKMCMGTOqLG+dNriCggJs374dS5cuRWxsLObOncs6CohIJMKFCxcwZcoUTmb78fAoy4G78SXG9riisQH1e0yFhzu2jGqNKd2tym0bsvOuwmMLCgowffp0iMVizt5fRUUFhYWFGDNmTFl0IC6Qy+W4desWDh06VOkxddrgEhMTERwcjM2bN8PAwIATTX19fVZr0nh42HLrZQaslgZiQ+CLCvt4U+Mp5eHDh9i9ezckEkm1x64Z2gruDv+L9RqZIsBvtyp275mZmSEyMhIeHh7IzMzkrKxWVla4evUqvv32W85aiHK5HACwePHiSo+p0wbn6uqK5s2bV38gD08d4MVbAayWBmKK76MK+/iuyLrNrVu3cObMGU5No2PHjjhx4gQcHBzg5+dXVuFXhu+U8pGDtl55hciUit2GQ4cORXBwMDp27IhnzyoPxl0bWrRoAQD4/fff8euvv3Ki2bt3b5ibm1epVy+WCfDw1GVEUjkcVwUp3KfI1NgEW/6YEAqF0NLS4iykFBEhJiYGYrEYrq6uSmvcvHkTubm5kMvlZS9tbW2MGjVK6bKKxWIMGTIE169fh5OTE3r27Al3d3eMHTuW1Rj/o0ePykLeOTk5Yfv27RgwYECV57w/BvdqwwBoNvhfsIlnz56hdevWAErMztfXl/WM759++gknTpyAVCpFeHg4J7+5XC7HrFmzIBaL4efnV3+XCSgL1xXEv1HhcK3JMAynev+Gplwu5/xzc9n3D5R8ZraaRASrpYEKzY2LFhsRoaioiJUGAERHRyMmJgYAkJ2dzVovKysLPj4+GD16NHJycpCSoniMsToYhkFkZCR2796NsWPHolmzZnBwcMC9e/cgEAiU0lRRUYGDgwOOHDmCcePGYeLEifjiiy9w7949VpWypqYmzp49iy5duuDFixf4/fffkZOTw3oCW8eOHTFhwgQAJRGD2rVrV+05719XDivLX38uLi5wcXGBk5MTbGxsOAn28PnnnyMoKAjR0dG4c+cOaz0AUFNTw6BBgxAUpPjhEKhjBsflwOeOHTvKotBzQXZ2Nrp37w4uW5i+vr4YNmwYZ5V9Tk4OevXqVeUFUVv8/f3RvXt3zgwkMzMTnp6eZQvi2UJEOHjwIFxcXDip7IGSBfa9e/fGjz/+qLSG1dJAWC+rGC8ydGFnpY0tJycHBw4cQFFREfbu3QsXFxcsWbJE6TLKZDJs3boVbdq0wfbt29GlSxc0adIESUlVZ/yujPj4eMyZMweWlpZYs2YNLl26hMaNG5etOVWmfLGxsbh16xYCAgKQlpYGAFizZk1ZElhlsLCwQEBAAE6cOAETExNoamoiNzdXab1SdHV1ERgYCBcXF7i6uirdynyfjRs3YtiwYfjyyy9rPBfh/Wvs3VadiooKAgIC8Mcff6BXr16clNHU1BTGxsY4fPgwrKysONEEgL59+2Lz5s2VH0BEdebVvn174oLDhw+TpqYmXb16lRO9nJwcateuHfXp04eKi4s50dy3bx9pamrSmTNnONFLSUkhFxcX+uyzzygvL4+1HsMwtH79etLU1CR/f38OSkgUFhZGlpaW1LdvX8rMzGStl5ubS6NHjyZ9fX36888/WeuJxWLasGEDaWpq0qRJkygjI6PWGgfuxlOLJRcrvFzbtKPLly8TwzDVagCgklv3f7x8+ZLs7OyoRYsW1KhRI7KxsaHt27dTbm5urctIRPT06VPq0KFD2Xu1bNmStm/fTq9evVJKLy0tjVatWkUjR44kZ2dnUldXJx0dHXr69CnJ5XKlNN8lNzeXDh48SL1796bQ0FDWeqVkZ2fTzJkzSSwWc6aZmppKN2/e5EyPiJT6nWVyptw1+NOVl5yW6b8EQCgp8IwPblq1ebm5ubH+Ik6fPk0aGhqcGUdeXh517NiRPvvsMyosLOREc9euXaSpqUkXLlzgRC8mJoasrKxo2LBhnBiwWCymyZMnk5GREd29e5eDEhIdOXKEtLS0aOHChSSVSlnrBQcHk6WlJXXt2pUSEhKU1snNzSU/Pz+6f/8+ubq6UosWLSgoKKjWOgKhRKGxWXbqT0eOHCGZTFZjrfcN7urVq9SoUaOy7Rs3bmRlGo8ePaKRI0fS4MGDadCgQTRo0CAaN26c0mapCKlUSjExMZSSksKZZim1+S4/dXbeiC53PUpk7B82PgS8wRHRlStXSFNTk3x9fVnplJKfn09dunShbt26kUAg4ERz27ZtpK2trVQlqojw8HAyNTWlL7/8khPjyM3NpT59+pCdnR1FR0ez1pNIJDR37lzS0dGh48ePs9IKDAykgoICWrt2Lamrq9OqVatYfWaxWEx9+vQhMzMzUldXpwULFij1EKPI2FosuUhGRkYUExNTa713De7QoUPk5OREffr0oS+//JJWrlxJ/v7+NWoJ8vAQVbw+6yKfvMEFBweTjo4O7dixQ2mNdykoKKAePXpQ586dKT8/nxPNTZs2kY6ODt24cYMTvTt37pC+vj4tWLCAk26ghIQEcnZ2pu7du7PuQnz06BGlp6fTZ599RtbW1hQREcG6bIaGhuTk5EQWFhZ0584dVnoMw9DkyZPLzGT06NG1bv3+GPRCobF16tSJZs+eTb6+vhQfH1/rspWWiWEY3sh4OOHd63NbHeyq/KQN7vHjx9SoUSNav369Uue/T1FREbm7u5Obmxsn3TYMw9DatWtJV1eX/v77bw5KSHT+/HnS0tKizZs3s6oEBQIBCQQCevjwIZmamtK4ceNIKBSyKtvp06fLjKhfv36UnZ3NSk8kEpWNF6moqNCpU6dY6RERbdiwgQCQo6MjzZ8/n65cuVLjz51fSXdkyINHnIzlKBqD4+FhQ3SaoNy1KpPXrQenygyu3seievXqFfr374/p06djxYoVrPWEQiGGDx+OvLw83Lhxg3UEFSLCypUrsWvXLly9ehVdu3ZVWkssFkNTUxNHjhzB9OnTsXPnTsyYMYNV+VauXAmZTIbDhw9j/vz5WL9+PaupzWlpaZgxYways7Ph6OiI48ePs56GvGDBAoSGhsLc3Bxjx46FlZUViEjpad2lsU0TEhJqPeNLUZy/ke3NsX2M8jn6eHj+bexN9cr9b7v8Ur0ILFCvDe7169fw9PTE8OHD8eOPP7JeXCgSiTBy5Eikp6fj5s2brCtmIsKiRYtw8OBB3LhxAx06VFinWGMYhsFXX32Fjh07YunSpTh27Bi8vb1Zle/BgwfYuXMniAhLlizBxo0bWekREaZNm4bs7GwYGhpiwIAByM7OZvU9Xr16FXK5HLdv30bPnj05SfVjaWlZ6yUk92KzMPHAgwrb60MlwfNpkLhlcLkHtMwCMZro1e2whfXW4NLT0+Hh4YFu3bph7969rM1NIpHA29sbSUlJuH37Nho3bqy0VmZmJq5fv46QkBD4+/vj1q1brLJwA8ChQ4fg7++PU6dOITAwEJ6enqz0pFIppk+fDiKCjo4OioqKIBAIoK+vr7Tm/v37kZ+fjyNHjsDb2xva2tqsyggAnp6e6NevH2sdZSEihevZonz6Q0ej3t5ePPWUgS5muBxZsp6w48brdf4BrU4t9K4pubm56NevH+zt7XHkyBGoqalVf1IlPHr0CEVFRRg7dixiYmJw48YN1jnY1q1bh2nTpuHEiRO4ffs2a3PLzc3FsmXLyv5/+vRpyQArC7Zu3YqsrCxs2rQJycnJ2LlzJytzA4D+/fvj7t27+PzzzzkxNwCchXlShoWnnig0t8Qtg3lz46mT7JnkVu7/hwk5H6gk3FCv7sKMjAzo6Ohg0KBBMDAwwKlTp1ilzyEizJ8/H/n5+RAKhbhz5w6aNm3KqoyvXr3C3r17IZfLYWBgwEl0jdWrV6OgoACzZ8/G4sWLYWlpyUpPJBLB3t4eiYmJrNMPvUtpwNW6jlTOwH7F5Qrb6/rTLg8PAFye1xMDfy1JpzNmX0idvq7rjcEVFRVh+PDhaNiwIaRSKa5cuQIdHR1WmpcvX8a9e/cAAOPGjWOtBwBLliyBXC7HiBEj4OPjAxcXF1Z6sbGx0NHRQUJCAmvzLUVLSwujR4/mRKu+MfDXu3jxtnycw8UDHDDL3e4DlYiHh1ucmpbvqQmOyUIPe+WHZP5NkpOTq8woU28Mbu/evbh//z7U1NRw7tw56OnpVX9SFTAMUzbrsnPnzpgzZw4MDQ1Zad65cwfFxcV4+PAhOnbsyEqrFFtbW/zwww+caPFUDt9q4/mUCF3pgQ4brgMAJh18wMl1XjrLm0tWrVqFHTt2VLq/XhhccXFxWeBba2trTjT/+usvCAQCnDx5Et7e3pyM9Tg4OODq1asclO5/fMgxqE+Fcb+H4H58+bGIo1M7oad9k0rO4KkpRHIUFcfj7dvTeP16f63PV1XVhJPjZjRp4gk1NfY9LDwlNNYtb0RxmYWwbaLLSvOHH37A6tWrWWm8T3BwcJWB2euFwe3duxdCoRA//vgj5s6dy8lTgq6uLqKiojh94jAzM+NMi+ffR84QbJcrnkTCU5H4+HgMGzMWL589haNra5w/eQLW1tZ4m3YaL14on9WgKhhGjOdRCyrdb2IyCM5OP0JNjZtJTZ8K586dw7X5feH5898AgL7b7rC+7o8dO4bOnTujf//+XBQRhYWFiIuLw86dOys9ps4bnEgkQlZWFqKjozk1kEGDBnGmxVP3+OV6NH65HlNu25GvOuGzlnyrrTKGjh6NNx16wHj9DiSf+xN9B7fHgd+MP2iZMjIuISOj/EOKq8tvMDGpOiloXSE/Px+FhYUwNzfnVHfVqlX444/yvWESGQONBspPvM/Ozsb333+Pvn37okED9tYTGRkJAGW5ChVR5zN6s4lYwcOjCEXRSD6mVtvHktE7Pf0iIp/PK/u//4AkGAfchYqWNkgkRPbwnrgSVPnM2W5db0Nbu/IJArUlK/s2njyZWuvzeru/gKoqd7OFK0MgEEBPT4/T+oqI0LlzZ/j6+sLZ2Zkz3U6dOiE3Nxe9V/6Bqy+yyrYrex8wDAN1dXUwDIN9+/axjrAEAL///juWLVsGTU1NvH37VmFG7zrfguPNjYcr4jIL0Xdb+WzD8z1aYp6H/Qcq0cdFZtYNPH1aecXU3FYXOef+hJbXOIjO/Ynmtrpw7/XsPxsba2zsjr594ipsFwie4VGoV6Xn3brtBADQ1DBF9+7sMndXhUQiwYABA7B48WL07duXE00VFRXY29uje/fuOH/+PHr27MmJrpGRER49eoQ2F7YCdlNY6wkEAjAMA6AkKMW4ceNYr6sdOHAgNDQ08Ouvv+Lt27cKj6nzBsfDwwUfe6vtQ8AwMty67VDj469fDMPwsePw0ndvyRhc4ONqzU0oFCIrKwvNmjVDcXEx8vLy8PbtW0ilUmhra0NDQwOqqqowNjaGkZERGjRoUK0BFRQUgIjKKlB9fddyxieRZONucKcK54kl6bh5q2S5h0Gjndi48QAcHR3Rvn17tG/fHtbW1qzMr3Hjxujbty88PDzQu3dvbNy4kVXs2VI8PDzg7+8PT09PHDt2DKNGjWKtWRo+Lzg4GFrvGNzdmEylJlcJhUIcP34cEydOxMGDB6Gry27CCgA0b94clpaWSE5OrvSYOt9F+THxb3SXcq35qZaRYRiFcSolMgYtV9Z++j8RgWEYVlFy3kcqlUJdXb3a46rrokxOToaJiQk0NDQgEolqFTVGLMlCcHDnao/T02uFTh3PV3ucRCLB9evX8fDhwxqXQVkkEgkOHDgAgUCAZ8+ewd6++pY3EZWZmiJ2/5aPM2ey0aJFC4SEhLBeayoSieDg4IDXr1+jb9+++PPPP1mF/QNKfu/S4A7Tpk3Djz/+yHpJ09q1a/HixQvk5eXh8uUg2Lwz2YrNg1+7du0we/ZsTJs2jVX5SomJiUHLli0BQGEXZZ0yOFdXV3r27BknWocPH0ZoaCh+++03TvQKCgowcuRIbNmyBW5ubtWfUANOnz6NY8eO4fTp05xU+EVFRRg1ahQWLFjAWfzGixcvYuvWrbh+/XqNKufqKCgowIQJEzB69Gh88cUXHJSwZMnH+vXrce/evXJPjoeCE+BzMarcsS/XD4CWetWm9ebNG8yYMQM9e/YsFyKttohEIrx69Qr29vb45ZdfsHv3bkRERFRb4VVlcP/88w9GjhyJ1atXY+/evXB3d69ynRBQc1PzGp6BoqIiJCUlVVhcyzAMTpw4gVevXlWr81+zfPnyGkXkEYnTcO9ed4X7wsOdsfD7C5yUx9/fH7t27cKmTZvg7u7OiaaXlxe6dOmC6dOnw9iY/cQemUyGpKQkhISEYNKkSeV6ONgYXGBgICwtLeHq6sq6jEDJ2jo/Pz/MnDmz7hucm5sbhYWFsda5fPkyvLy8cOLECXh5Vd43X1NEIhEGDx6MgoIC3Lhxg/UicwC4cOECvL29sX//fk4q+oKCAgwePBiFhYW4du0aJzeBn58fZsyYgR07dmDmzJms9ZKSkjB06FBoamoiICAAzZo1Y6UnkUiwaNEi/P7779i5cyemTp1aZg617ZIMCwtD+/btcejQISxYsACfffYZ9u3bp3QZxWIxvLy8oKamhidPnkBbWxs//PADvLy8qn2YqczgDh06hK+//hpSqRTNmzfH3LlzMWXKFIW/dU26H2NjOmHevLMQi8UAADU1NVy/fh29evVCXFwc/vjjj9p85AoIhUJcunQJCxYswJQpNR/nycrKwq5du5R6z169eqF3797VHnfjpq3C7Z06XoSenpNS710KwzBISUmpMgJHbSkqKkLDhg0503ufd++XbaPbYJSbxb/2XsqgoqJS9w2Oiy7KR48eoXfv3ti6dSu++eYb1mWSyWQYM2YMXr58ibt373JiHFeuXMHw4cOxc+dOTJ8+nbVefn4+Bg4cCJlMhitXrrDuvgBKgjGvXr0ax44dw8iRI1nroL+M2wAAIABJREFUhYSEwMvLC+7u7jh8+LDSYdEkEknZgPOYMWOQk5ODU6dOlQW0FsvkcFgZVO6c2b1tsai/Y6WaDx48wIgRI+Dq6opHjx5hx44dmDhxotKtaolEgpEjRyIwsKTS8PHxwdKlS2vcAn7f4GQyGRYuXIhff/0VAKCjo4N27drh9OnTMDU1LXduaNgY5OdX/pDYocMZNNJvA4lEgtzcXBQVFaG4uBgpKSkICQmp1eccNmwY2rdvX+1xQqGQs+DbRIR169bV6Fh3d/dqW1CVGV2f3rGf3AQ3rlpx/waVGdwnNckkLi4OgwcPxty5czkxNyLCzJkzERYWhnv37nFibrdu3cKIESOwbds2TswtNzcX/fv3h7q6Oq5du4ZGjRqx0mMYBkuWLMG+fftw6dKlGj0NV0ZOTg6MjIxw7NgxTJs2DYsXL8aaNWtY5XRbsWIFkpKScP36dXh4eODatWtlkw3+uJ+Eleciyx2fsHlQlRVVcnIyhg8fjvT0dKiqquLp06ewsFD+6VUqlWLs2LEIDAyEpqYm2rVrBy0tLVbrghISEjB48GDMmDED5ubm0NfXL/eZquuCbOX8M8zMhpXb1qBBA+zZs6fGZVixYoXSXdRcmRtQYv5r164tt+3evXu4du1ahWNv376N27dvAyiJEauoHKWTU943upu37GBt9S1sbL7jpuA8/wqfTAsuMzMT3bp1Q7du3eDr68v66YuIsHjxYvj5+SE4OLh0oJMVwcHBGDBgAHx8fLBgQeXRGWpKVlYWPD09oa+vj4sXL7LqOpVKpQBKBrGDgoIQFBSEdu3aKa0nFovRt29f9O7dGz/99BMOHTqE8ePHK60HAEFBQRg4cCAAYPbs2di5c6fSXZJASbdPjx49EBERgUaNGmHgwIGYP38+OnWqOAOvpgQEBCA5ORmdO3dGmzZtlMrWUNN1cPcfDEBRUeWLYN+fUv9uyLuq0NbWxpIl/05kkn8bsViMzZs3V7r/iy++gI2NjcJ9DCMpW1LwLoqWJtRH3r2HzszqhvaW7HuCuOKT7qIsKipCnz59YGBggIsXL3IyGWLLli3YvHkzbt++zaqiL+XBgwfw9PTE0qVLsXz5ctZ6pQlfTU1NERAQwKp/PioqCqdPn8aDBw/w4sULXLlyBXZ27KLnr1q1Chs2bICGhgauX7/Oev1OWloa2rRpg4yMDDRu3BiTJk3CunXroKurV24GGAAsH+SIGZ8p7noqhWEYLF26FFKpFMOGDUOPHj04uW64oCqDI2Jw81blswff71orKCjAtm3bqn3P91tF9YHY2NhKxxFnzJhR6fjqzVuOIJKW29azxwNoaHycEfe54v3QdR9TN+Una3AymQxeXl5ITU3FnTt3OJkAsm/fPsyfPx9XrlzhZGHl48eP0adPH8ybN6/G4weVcfToUXTt2hVDhw6FlZUVzpw5w6oLiIjg4eGBmzdvwtXVFVevXmUdEi08PBwdO3aEXC5HkyZN4OPjg6+//lppPYZhMHToUKirq2Py5MkYNGgQNDQ0EJmSjyE7g8sdW12XZCml98XHOM6iyOCqmgFoaNgV7dv9ryJnGAY+Pj5VvsegQYNYtVTrGpUZ+NKlS6GlpVVhu6IHCQeH9bAwn/BvFO+j4WMdh/skDY6IMGPGDFy/fh0hISGcxKo8efIkPv/8c5w+fRpDhgxhpXX//n00bNgQ7u7umDZtGrZs2cKqQi0oKIC9vT2Ki4vh7u6OU6dOsQ4WfeLECYwbNw4AYGFhgYsXL6JNmzZK60ml0rKKc968eRg3bpzCCqQ25ObmQiaToUmT/y1AtVt+CTKm/LX9Md2QbHjX4N6mnUNU1PcKj3Pv9Rxqav/7bvfs2YP09PRKdb/55psKk1I+NSozusq2vz8216CBHnp9FsFxqT4eeIP7F6mtwa1btw47duzAP//8AweHmkdkeB+ZTAaBQIBHjx5h+PDhOHjwICZOnKi0HlASKLR///6QSqWYMGECfv75Z9athdWrV2P9+vUAAG9vb/j6+rLqmiwoKICjY8nswoULF2LGjBmspyKHhYWhuLgYPXr0+NdaR++PtzXR08SjFR7/ynt9CEq/t+s3FI8VvTsmJBKJsGXLlkq1Jk6cWKMF0Z8aigxtzpw5Ctco3rvXEyJxarlt9XVczmZZIEqfGwPn9kCrZuwmrXHFJ2NwcrkcampqOHDgAObOnYsbN26wDodz9OhRXLlyBWfPnsWWLVvw7bffstIDgJEjR+Ls2bPQ0dHBvn37MGnSJFZ6KSkpsP8/9q48LKb2Dd/TKqQQkvwka7aP7DvZd32WkH3/8AmF9CmJCMmeCNlS9n0nKQkRJYrK2qJ90zbTzPn9MWY5s8+ckxbd1+W65pzzznvexsy53/d5n+e+W7SAuro6Vq1ahVWrVlHOmDx06BAYDAZmzZpFu1FhaUCSKkm44xDUqVH6Qrq/C6/Cp6FLZz8A4gQn/FC9ceMGZP1WKuOeGt1IS0uTKAQh6bPLyg5DePgU0rnKSnLlcRX3xxDc+vXr0bZtW8yePRvnzp3DuHHjKN2TzWajTZs2+PjxI3r16oULFy5Qlut5+fIlunbtCg0NDSxevBgbNmygLNezZMkSVK9eHWvXriWF6qigIjk1PI1Lx7Qjz0nnysuPjw68jfqXb/syeNAnAFyCa9hwEtqYcVdo8mrANmzYUGH+P8sTJBGapM+ypCQPj4M6ks5VRpIrbwTHYrGgpaVV+evgMjIysGvXLhQUFGDr1q2UyQ0Azp8/j48fPwIATExM+IrYVLB+/XqMGzcO27ZtoxQ65YHD4cDR0ZEy8YqiojwMe219iKScItK58vDDowNfvx5GXPw2idd4D09Zqe+1atWipeTkT4azs7PYam7jxo1itXMaGroYOCCaVErwMKBZpSS58gR/f3+p1yoVwR04cAAFBQUAuDVl2dnZ0NfXV7k/DoeDzZs3o2PHjti3bx/69OlDeYypqalYt24d+vfvT7kvHtTU1Ggnt4oC0f22do1q4ca/9FiGlCUkhbwAoFVLFwDccHZmZqZUnck1a9aorAZTBXHUq1cPzs7OpNXctm3bMH36dFLJjJqaFgb0f4fAx2355yLf/oMO7RUvmq9IUDbKExAQAAsLC1rHcPbsWanXKk2IMj8/H02aNOH7A02cOJHyCiQwMBDR0dFYuHAhrarxVaAOgiDQdB25vi3E3gKN9OlTxSgLsFhZCAoWi7Tgf43noUULbn0k73u9YcMGsXZVe2ulD9HP2NLSUiyzuLDwO56GDuAfd+t6Hbq69BmS/g4kJiZKdAo/GBiPbXdiAACXl/RCJyUKvocPH479+/dTrqPlISsrCw0aNACLxZIYolRdE6mc4cSJE7C2tkZMTAwmTZpES3itf//++Oeff6rIrZyhkMkWI7cvbqMqNLkRBIGHAc3EyE1DQw+DLOLRooUDYmNjZaaxV5Hb74Ho53z58mWxhB4dncYwMVnGP34RNgYEQX17QxqYTCbtfa5Zs0Ziv/8MEJRGWHo+Vbg/FouFJ0+eyAwpKovLly/zVZYkodIQ3IQJE7Bnzx7KLrHCqCh7UH8SQuMzYOZEFkuu6PttDwOaSfQkG2QRj/79wpGQkABnZ2f4+vqKtakitrKBs7MzSenkxo0biI0ly6I1M11JOpalMEMVsuTHVEVAQIDE75yqCAsLQ35+Pq0Ed+7cOZnXKw3B/ekFqn8CbPxfY6r3M9K5ikxu8fHuEtXqB1nEY5BFPLKysuDs7IwjR45IfH8VsZUtROW8fH198fPnT1Ib0QST0GfDcf78edrHcvbsWVy8eJG2/vLy8vDjxw9s27aNlsQ6gEuYAPDu3TvQ4evJ4XBgZ2cnU8Cj0hBcFSo3TOxv4uobQTFtlya1Kyy5sdkFeBjQDF++khMPLAbGYpBFPEpKSuDs7My3vxFGFan9PmRmZuLdu3cy2yxcuJB07O7uLkYIwiRXUBALT8/dOHbsGH0DBTfatGTJEqSnp9PSH281+uHDB1y7Jt+5XRHk5uaidevWGDFiBN6/fy//DXKgpqaGwYMHo7CwUHobynepQhVKGaKZkjf+7YML//Qqo9FQw8OAZgh8THYz7tD+4K+HINfqZfPmzWLvUyUUWRoJZCUlJbT3SQdSU1Px7ds3sNls2vqsU6cOVq9ejRkzZiA+Xnqqv+j/iySdz2amAjm19Y4/MG/ePBw+fJi2sQLcz2D58uW09BUbGws9PT3Uq1cPDx48oKXPbdu2oU2bNujWrRusrKxo6RNAFcFVoXRB94NUuD9RcovfMhLtGimv0FIaY1QmdJOQeEZqOFJbuwecnZ0lFmmrusd2+/Zt+Pj40JZ8UFhYiJ07d2L16tWUP0smk4mwsDDs27cP06ZNg7e3N+Xx6erqYs2aNahWrRpMTU3x6NEjyn0C3IfymTNnYG5ujtevX0ttJ/p/JHpsYrKEdDzZSg+bNm1CeHg4LePk5QvExsbi1SvphraKolu3bjhx4gS0tLRUdk8XBYPBQPXq1fmlXHSAzWbL/I5XKIIrLi6mra/z589jxQr6zAqLioowfvx4Wr5cPNy/fx9Tpkyh7eHMZDIxefJkieaPqiIoKAjDhw+n7UFaXFwMa2trnDrtK0ZuX9xGQV1N+cQfnlxbXl4epbH9/PkTTCYTmZmZsLKygru7u9z38LIjP3xwJJ3n7bPdvXsXHh4eYu9TldgIgsCWLVswatQo2NnZUfZtY7FYOHz4MFq0aAE7Ozvs3r1bpmCzIvjw4QOOHz8OR0dH+Pn5ISIiglJ/ANej7syZM1izZg0KCwtRv359yn0CQPv27TFnzhwsW7aM7wovDaL/Xx8+fCAdC4cqFy6sC29vb4UczxWBjY0Njhw5gnPnzqFz586U+2vatCl69OgBR0dHic+fXVaCsojEbOkrKFHMnj2bFgEOYUiSU+OhQtXBmZubE3TMeF6+fIl+/frBy8sLM2fOpNwfh8OBtbU1IiIiEBISgtq1qRsBhoWFYeDAgXB1dYWNjQ3l/kpKSjBt2jS8fv0aQUFBtBSGP3z4EGPHjoWjoyPs7e0p95ebmwtLS0sk/EhD8RhyVpiy+20FBQXQ0dHB7t27YW9vD1dXV9ja2qqcGUsQBKZMmYLevXvDzc0NzZs3x8mTJ2FiYiL1PQGPWoIgyCGzdu32oUH9kWCz2XxhbGE4ODjINUGV5geXl5eH2bNn49KlSwC4rtyPHj1SWaCAIAhcvHgRQUFBSE5ORlJSEphMJq5fv06LM0dhYSGuXLmCxo0b0yKiwMO7d+/Qtm1b+Q0VRF5ensI2W6KmsaKSXqKr+IqqciJch7qwnykcRoobwf5O/DFalPKQmJiIbt26YebMmbSl1jo4OODo0aN4/vy5zAeeovjw4QP69OmDBQsWYMuWLZT743A4mDNnDgIDAxEcHIz//e9/lPu8e/cuLC0t4erqipUrV8p/gxTwxLGTk5MxYsQIaOk3QGoP8j6CsuQWGxsLNzc3MJlM3Lx5E/7+/hg6dKjKYwSAHTt2YM2aNQC4Zrd2dnZS6yM5HBYeBbYWO897mElamX348AG7d+9WKBtYoh9cURFcXV2Rnp4OQ0NDNGjQAA0aNEDLli1pfdhXQT7khSuFSa6iEhwg2D7Q1lDDh80jynQs0giuUkl1yUNBQQHGjRuHrl27wtXVlZY+vb29sWfPHgQGBtJCbklJSRg2bBjGjRtHyxgJgsCSJUtw//592sjt+vXrmDRpEnbu3ImlS5dS6svDwwPm5uaYN28eTHsMwyeTsaTrypJbSUkJZs2ahdDQULRu3RphYWFo1ky2e7c83L9/n79C1dbWBkEQUFOTHN2XtM/Wv98baGjo4uPHjzhz5ozY9UmTJsHMzExqn4qgWrVqEleEVfj9EA0vp6enk8TUjYymICmJWwtWGbQqi0tKr4CdKv4YguNwOJg1axZKSkpw+vRpSg8THu7cuYNly5bh/Pnz6Nq1K+X+srOzMXz4cHTs2BFeXl6UC80JgsCqVatw6dIlPH78mNKDniAIHD9+HHp6epg2bRr27duHBQsWUBrft2/f4OzsjMLCQgxZ6ooPNTqQrqtSBrBjxw6EhoYC4K5qROuSlMWXL18wb948WFpaYuLEiRg1apTEcBWHU4JHgeLC2YMs4kEQhMRVW2VL+Sc4BFjJ+ch98BVF0Zky2+qPMYXOX/WgVkOzUgoqrFu3jh8h2r9/P+n/2qy1K5/gqlC6+GMIbuPGjQgKCkJYWBhq1qxJub+IiAhMmjQJ7u7uGDt2rPw3yEFhYSHGjBkDfX19+Pn5QUND9f+aHz9+oLi4GN7e3jhx4gQePXoEMzNqMfJLly7h33//5ScdzJo1i1J/AHdjvKCgAPUs/yOR27iORtgzpZPS/b158wbOzs4YMmQI/vnnH4wePRqampqUxlhUVITo6GiZRq9hYZbIzYsknRs4IAZqapo4dOgQkpOTSdeGDRtG2aOwrFD8NRdpB6knhWRf/4Ts65+kXjdy6QU1rYorkSfqnxgREUHSq6xbpx8yMoMAAOGvZ8C806nfOr4/BX8Ewfn5+WH79u0ICAigJUSXkJCAUaNGYf78+ZTNT9PS0lC7dm1MmTIFOTk5CAoKIllwqIKtW7fi8ePH+PTpEx4+fCgmBKssmEwm1q5di/z8fFomBwBX2ujKlStosvYG6fxBa3OMaK98AgxBEIiKisK7d+9oE3IFwHc0l3ZPaRJbHA6nwq/aCmMykXFcdqFzaSHJiaxx2Mi1NxjqFSrpmxSqvHz5Mul32LGjDz+cnZWluJ5jFZRDpSe458+fY+7cuThy5AjlWTObzUZ+fj5GjRqFbt26KZQmLgsEQWDixIlo3LgxIiMjERISQsneB+CSr5eXF5hMJvr27UvZ1RsAPD09ER8fj9atW2PTpk34+++/KfVXWFiIGzduiJHb49UD0KSu9JWSLDAYDMqu6MogNfUO3kaR9x/794uAhkZNuLq6ignAVgT7mqIPmUj3UZ7QDNd2hUbtairftySjED92yE4eS/wvhP+60ZY+YKhQLlLWCAsLk7qVwWRmQkurzm8eUeVHpSa479+/Y/z48bC1tYW1tTWlvrKzs7Ft2za8fv0a1apVw+nTpym7DNy/fx9BQdwwxe7du1G3bl1K/QGAq6srmEwmGjdujMWLF1NezWRlZeHUqVM4fvw4rK2tKYVOedDW1sYd/TGkc+82DkMN7YrxdZRWsF3RVm0EQSBx3ROF2zfa2qdU9ss06urA2I3s4SdrbIkO3PN1Z7aBThvqv5nShPAq7ubNmySCG2QRz/8uBT/pWuGTTcojKsYTRUk8f/4curq6mD59Onr16iVROkdZHD58GG5ubqhduzbevn1Ly2ycVwJgYGAAXV1dyvtFnz9/xtmzZ7Fp0yasWrWKljEWFRUhNDRUbm2WQrhyBWjUCKYXU0mnP20ZCbUKMCNns4sR+Jjs6fVXB28YGFjg8uXLYgXL//33H+X/U7pBcAg+QciCwbx2qNaCej2nqmAwGCTSy334Dbn3v5LaZJzk6hnqjWoK3b7GKt3H3R345x9AxhYrraBqwlwF5VAp6+CmTZuG27dvo2nTpggODpaZIKAImEwmmjZtiqSkJNSsWRN79+7FnDlzKPUZEhKCvn37YvHixdi8eTPq1KEenggICICZmVn5dPdmsYD27ZH7+TtmT9qIcGNu0svnrSMrRBZdZORipKWTFWBk1bWV5qpNWqG3LCTYB8u8rlZTE0bre1Aa1++CtL+l/rKO0DJWrCCbh1OnADU1gGKARy6Evw/Cr1+/mY3MTO7f06P7XdSoQd/+cWlDWGmorIXPy10dHIPBaAzgJIAGAAgAhwmCEJdPVxJJSUk4f/48SkpKkJmZibi4OMpJFmfPnkVSUhLGjh2L/fv3o3HjxlSHiYCAAISFhdEiq8MD3VbwtEJTEz0s1uGMvwNOnXPEnEnOOOdLTUbqd0FaSDI5ORmHDh0inbezs6MtEYcq8l+lIOv8R6nXDea0RbVWFW/fh7eyS3J9Dk6eQCIudf8bAPJDqUwm8OYN0K0bMGNG6Y5VHjp1PM7/fj17PuyPCFPm5ORAU1Pzt+xJl2VaUgkAW4Ig2gDoAWApg8Gg7Onu5eWFkpIS9OjRA7dv36ZMbgRB4MyZM7hw4QJfVogOrF+/nlZyK+8wsb+JH7UMYDXNDcm6Bjh3eSPw8GFZD0sm2OxiMXLr1/c1BlnEw9nZWYzcnJ2dy5zcCIJAgn0wEuyDJZJbHatWMHbrC2O3vrST26dPn9CpUydoaWmhU6dO+PRJehkAHTD6r7vY3h0AJK57gvyXkvUyi4uBiROBfv2A799LdXgkCKv8nzhx4vfdmCJKwz3i+PHjcm2IlIEsjeIyW8ERBJEMIPnX6zwGgxENoBEAlY2CiouLcfLkSbi7u2PFihWUk0AArvqJn58f7XHzihCWowvCoYy0mnXQ/P1LYPBg4P59YNCgMhyZdHz95o24ODfSOWmJJOWhrq0kuxg/3F5IvS6JCKgiKTkXL67GossXrjr82JPzYdS2CVavXo2wF2EY22cE7sw8gjhNoOG4ZmjRyRBqpZDqz/vbhEOXWRc+IuvCR9LfXVgIWFoCd+8Cnp4ATXNVhSC8BfH582ep7TicEqiplZ/UCC8vLyxevJiW5DKAK7ixb98+1KxZkxZxDIBLmNJQLj5JBoNhAqATgOcSri0EsBCA3Bq2T58+4d69e2jZsiVtY6O6f/enQ5IjAADg6VOAt9opKgKqqZ5mTjekhSRfvnyJGzfIpQ1lnSGZ++g7cu9+kXitkWsfMNSpTaSe34xFo+AfUq8Lb3p8SP2EcXMmQlNTE127dcX2X5Y1zVkALsQj6YJ4+C1Gk8CADX2goUGd+Izd+iLn/lfkPfzGP5dgHwxjt77IzwfGjgUePQKOHAHmzaN8O0ogCII/yRXOpnz9ZiY6m4vLuSmCoKAg9OvXj9YxHjx4EN26dUO3bt1o6fP27duIj49HZGSk/MYKgMViydQULvPKSQaDURPARQArCILIFb1OEMRhgiC6EATRpV69ejL7MjMzo5XcqkANUskNAHR1AQYDiI8HWrUCLl78zaOTDFFy69XzET8kWd7ILcE+WCK58UKQypJbyo88fniT908WuYmiVX1ThL0IA4vFQtiLMLSqbyr3Pa1ZDPxYH8K/372T1B58ekOaiK1WE+yDcfQIgcBA4MSJsiM3R0eBZZKvr6/ENtnZYnN8hbF27VpkZWWp/H5RvH37Fu/fv0dgYCBtfe7duxcAaCO4L1++yKx/LdMVHIPB0ASX3HwJgrhUlmOpAr2QSW7CMDAAjI0BKyvg9GlgypTfMDpxsFi5CAomy4NJ05FcsmQJbX5jykJaBqHuwMbQG2aiVF/FxWykbVBORSOqriaGr5acbXlt4W1MmDABO3bsQNu2bXHtyW0Ym5JJjsUsQYpTqNT+27zP4f+NzLlmMG1pILWtLBi79SV9Vn8nP0H3kD7o3kP5FS2LxaKl3EN4yyQuLg4lJSW0hf5ycnLw/PlzXLhwgbJGLA9+fn4AgMDAQL6TBhV8/PiR7yX46dMn0ipWVbRo0QJNmjSRer0ssygZAI4CiCYIQtzxsQoVFgqTGwDo6QF37gCjR3NztZlMgAaPPmXw/fsJfIwl10pKy5Isq1WbNGJrsKozNOsrno32KS4DWkcU2+aWtG8nq9rM1NRUpus1AGhqaYj1m5tThNytYWJttY5FIwFAlIEmhtspX8JQY21f5G8TfG6NrjwB0V35YnVHR0e4urrSsqcvjGPHjmHhwoW09BUSEgKCIHD69GlaCI4gCD7BBQcH00LyzZs3h7u7O6ZOnYrHjx+DyWSKaXaqgvfvpX+fyzJE2RvADAAWDAbjza9/I8twPFWgAUqRGw+6usCtW8DAgcDs2cD166UzOAl4GNCMRG4aGnoysyRLCwRBSKxry7oYK5XcjN36KkRuWRkF/BCgNHL7rikIbfL+/S7U0qsm877t0llIsA/Gtf3iJCiM4uJi7Ny5E5mZmUhPBywsgGa7yP0po9zCQ1RUFJYvX65U3aE0DB8+nP9606ZNyM/PBwBYDIzln/+ZHyv2PnngKSIFBQXh69evclrLR1ZWFjw9PQEAe/bsoeziDgBqamr4/v07GjduDBMTE1rIDSinBEcQxBOCIBgEQXQgCKLjr3+3ymo8VaAOlciNhxo1uMS2di2X6H4DxPfbAtG/X7gYkf3999+kc2w216WbTpGEzZs3k6x9mN+5+2H5YeQ9sIaOiq1kWCwWn9Tyd7yS2Ka+Sy8+qfTcJJ/QEhIScOTIEYXuLw9ZWVnYtGkT1q9fL+aRxxtTVB1ygMk8oQgJ9sHIzCyU2Ke2tja0tbXRpElXmJtnISYGuHpVfCUqr+hdFC1btoSnpycOHz6s1PskoUcPwf/ftGnTsH//fgAAgyF4FD9/PlzsffKQk5ODpk2bYvTo0XJX0YqgTp06aN++PQDu99/YWDWlGFF8//6dFsF7YcgqOSjzJBNlIKveQVncvn0bq1evpq0/NpuNmTNnIjw8nLY+Q0NDMWvWLHA49BgKcjgczJ8/Hw8ePKClP4BrUWNpaUmN3HjQ0QHH1RX/rF6N8z4+wNmzlMbGI6CXL1/CwsICubmCHCZRchtkEY9q1YzFyG3Dhg3o0EFg5RMUFIQTJ05g3rx58PCgJ7K+f/9+ODk5oWPHjkhPS0eCfTBSD7whtWmwwhzGbn2hXkN2mOjZ7Tgk2AcjxfGZxOtGW3rzCURLQTuauLg4/P3332jSpAlsbW2RmSnb600R1K5dG1OnTkVAQADevn0rsc3wNT1h7NYX71qS1UkKtr+USlLjxi0CEIi0ND3cuAHwFkyiJJci8vnKQp8+feDu7k5ZvUgUOjo6sLGxoaUvT09PbNu2DS4uLhg/fjwtferq6mLnzp1yazub1FU8RD5w4EDawrIA9zcu6zleLsoEFAVdun7TonV+AAAgAElEQVSfP3+GtbU1NmzYQEt/AODg4IBHjx5Rdhjg4evXrxg/fjwWL15MizkrANjb2+PmzZtYv349Lf3FxMRg6NChqDnnKOn8562qRZrZbDbmzZuHe/fuwUVDA9i/H/j2DVBhIsJLDunatSusrKzw77//ombNmhL1JAdZxCMrKwt79pCFdETJLi0tDVOnTkVKSgratGlDywTp9OnTfMulx5OOo2hnNOl6zb6NoD9KfjYi74EvaZ5dc21n6NdWXTWiefPmOH36NN68eYOIiAjaSmeaN2+OoKAgZGdny2w3bG5HAOIrrwT7YBht6U36fejpaaJbt0bYsEENohnzwoknrO954DDZCnnOUXXPkIVqNJXHMBgMTJo0iZa+eNDX18eqVavktpvXp6nCffbtS2/om8FgwMbGBitWrJB4vUIRHB0P+qKiIkycOBFDhw4lqQtQgb+/P/bu3YsnT57Qkl2Xl5eH0aNHY8CAAbSR8L59++Dp6YmgoCCYmJhQ7u/Lly8YPHgwTK034YdQeCXOdYTSm/jR0dHIy8vDnj17EBQUhMePH6OeiQmQng6sWcOVn1CSlE+ePInNmzdDQ0MDe/fuxaJFi5D3MwYvXpBXloMs4nH27FlER5OJRZTceI7wSUlJAIDGjRvDyMhIqTGJ4vr165g3bx58Z+1CP0NxVRt5+2AcDgdJDiFSr9O5j1a9enX06tULvXr1oq1PANDQ0ICBgWKZksZufcEu4SB5veBvTnIIQc21XZD3Uwd16wK1agEPHqhB2lewgV0XpLhz9WyTnJ7+1r3GygQWWxBVGtiqbDKKFUGFIjg68O+//6KoqAhHjhyhRU3kzZs3mDt3Lg4fPkyL9BabzcbUqVOho6OD48eP00Lqly5dgp2dHa5evQpzc3NKfYWFhcHY2BiDBw9GixFz8VlbsGaI2DAUGiooVaxZswahoaHQ1dVFUFAQmjb9NSM8fRrQ1AQcHbnZlRs3QuqTSwhpaWmwtbUFh8OBmpoatLW18eHjRiQknCS14yWTCGPgwIHo37+/WJ87d+7E3bt3MXToUMyYMQOWlpaUVjJsNhu6NXQRv1I8XKzoQ1cSuek7dEPNWvRs3pdHqGuoiZUARNlHweq6OXr3Uce5c7K/IpoGZDPh9JPvYTCTskKgUli5ciV27doFAPzvaEXDznsCGbhG+tQMmksTfxTBHTt2DP7+/ggLC6NFMzA9PZ0fRpxBk2rrmjVrEBERgRcvXlBy9iYIAmlpaYiNjYW1tTW8vLxIGVyqICcnB2PGjEGdOnXwvy6D8Klud/612zZ9oaejfAg5ICCAX0DdtGlT8qRDXR3w8QG0tICjR4Hly7l1c3LA2ycaP3487OzsUFQ8EwkJgutmZttg1HCiGLk5ODhItAVKS0uDtrY2EhISaHNqSP7vKZqDHB5r6NhD5h4bi8lGipPkurU/bSXCI7n4DB1M8W+PYjYHkywzAcgWgxB+LwAUvc8o5ZGKQ9iEOCoqir/Ha27uj/DwsqkDVRZejwWqNOXZ6uqPIbjw8HAsXboUp06dQuvWrSn3x2KxMHnyZDRr1gzbt2+n1Bev4NPb2xteXl548uQJ5QdpcHAwdu7ciSdPnmDdunW0bJDv3bsXKSkpSP/JRMHYsfzzrpbtYNawltL9cTgc2NnZAeDuc7i4uIiHT9XVgcOHgR8/uOTGy1yUMk1/+vQpatasiQ8fPqBFixYSxJLDoampJ0ZuskoA6tWrR1s4m53HRLKruFqFLIKSFYr804hNGLkz+8KyJxNqHODs1EiYRRQgdUA11G8o3zKn7nQzZJzmhqV5cl5lgUuXLvEJrra+QJuRzS6Eunr5XRlVFPwRBJeZmYkJEyZgyZIlmDhxIi19rl69Gp8/f0ZYWBhlNQJ3d3c0bNgQy5Ytw9mzZ9GpUyf5b5KD7du34+bNm2jatCktWVU5OTncrEE1dRgvO8U//5exHqy7S1cSkAVfX1/Ur18fYWFh6NJFzMpJADU1wMiIS24rV3LDlfv3c8+LoHv37vx9IlFysxgYJ1GZ5HcVb0vK/JP3YJWV0v4nkxuHwxW90a6uBedF72FWxBV8Zu55A45I4okk6LRTTSHldyE/Pxa1anWQ37AKMlHpCY7D4WDGjBlo3Lgx3Nzc5L9BDvz9/VFcXAxvb288ffpU4Q1yaWCxWNi7dy+Sk5OxZMkSjBs3jvIYo6KicPMmN22/devW0NVVzgRSEvbs2YNGxsbQG0X+DK8u66Nyn7169VI+tKutDezZwyW5w4fFSI6nNiGpDKCwsBDbtm0jnf8d5CZp1VaztxH0x4iLOvMgq7gb2yRe+qOgpgacOcONXrds2QaR9kGoA+6qPskhRCHyb+jYA8mbuOUUZbmKk4S09IdVBEcDKi3BMZlMJCQkwNfXF+Hh4QgPD6dcZvDp0yfMnj0bDAYDx48fp+w1BwAXLlxAcnIyAG7afWJiIuWiyh07dsDIyAh79uzBhAkTKCfTlJSUoEWLFvgpQm5UXXybNZP+gJcIBgNwc+OS3KZNXJfwY8e4YUwhSCK3pKQksULd30Fuyq7a7vm+RZu34mnz5enhW5Z48QK4fRtwcgLatROc7+DWj/RZK0JY8moKyxI/flxFM9OVZT2MCo9KS3A3btzAli1b8PbtWzx48ICW5ABvb29+sfn9+/cxYcIEyuHJvXv3QldXF+7u7liwYAFlMkpKSoKBgQGio6NRq5by+2KSoKGhgXUR5L7KzKKewQBcXLhTd546u5CBpCRye/LkCam4vVmzZrQlBUkDwSGQ6ECWhZIliMxLfxfN5ytLYkv6GAM/RzuF2s7dcxi1DamVTchDSAgwYgRQrx4336h2bfJ10ezK1B8/Ud9QdjKZwbx2SD8aBQD4GZqEmj1L929QFEVFv9GNtRKj0hLc0aNH8erVKzRs2BA/fihu+SENTCYTR48ehaamJlxcXLB69WrK4qsvXrxA7dq18e7dO9qcwg0NDbFz505a+uKBFpUSurF+PddDrkULANys0YBHzUlNBlnEY9euXcjJyeGfs7a2Rotf7yktpHpFgPmF7Pwki6gkrfKKZ5mhmVnp7xMRBIEr213wKVy2zqM8HLMRV6foMWEKek+WbmWiDAIDuXrcjRpxjeBFyY0Hoy29+Qk5zN2vATkThGotBB1lX40vNwRXniEsUbdnSkeV+6HTTUEaKiXBJSYm4s6dOwC4D7SxQhl/quLy5cswNDTE/fv3aQlNAoCRkRFu3rxJq7s33TU17TfcJR2XC3Lj4VcGJkEQeO3RCIy21UBoCUwkRUOQq1evLnUDW2VCkvHv06B9Mkbh9nSAIAh4TBlTav0L49lFfzy76M8/tj17Q0Zr6XjwgGtW2rQp97WsYIzo9//W5hCMXN9bpftWQTIWnRJom45sr1pkLCUlBffv35fp5UYHKiXBHT9+HIaGhjhx4gQGDx5MS581a9ZEWFgYbQrYAGgTMC0tXHiVgLziEv5xuSK3XyAIDp6eMUHPtcnINNfB240NMHDEZzFyc3JyKtWCWoLFRqIjuUat0ZY+YEipEUqwD4boN6m0iK0wLxee86cp1Fa/QUPM2+ut8r3iXz3Hle2bJF7baTUaALD85AVoaisuUZWVBbRuzXVVUkQoSDhU2eGnfB1X4fZZV+JQe3xzOe+gDgMDA6Snp5f6fehAcnIy8vPz0bw593O5917gLKCpgrADAKxbt+63mFNXOoLjcDjIzs5GZGQk6tatS1u/o0aVv4d7aSI1twh25yP4xxFOQ8twNJLBDUu2ABpqImaFAcw80jFwZzM4P3cmtSvtZJJ0nygUfSA7KUsjq8jnCahz+TPp3Nd+hug9kt6wKau4CHtnyi+JUXVVJQ3NOncn9fno+GGE375GasMb1yq/a2DImHSkpnIJbdIkwNISUCaa9XVAQzQJ5CZvxdsHoZlbPznv4CL/WfJvIbh27drR6pTNQ2pqKu1mvC4uLpgwYQKf4Kji2bNn8PHxwX///UdLf8IuHKKodAQHcGvA6Az7/WngcAh02/KQf+w8pg30qpevjDOC4HDJ7ReSR9ZCm7884BwfT2pX2uQmGpLUbq6PevPbS21bR+ScsVtfmSaiyoK3SpIGeaRCNwbOXoiBs7n7c6Jj85jK3TqQRLIXL3J9b69f5/q6KbtV03t4cyT8IjhtlL9nAdXyImnYuHEjtm7dSluC2cePH+Ht7Y0+fVQvBxIGh8Phi4vn5eXR0uerV5LtoIAKZpejCNTU1KrIjSJMHci2fLN7K64W/jvAX7kJYZBFfJmTW6MtfSSSW0ZKvljb/GktaQtJMosKsdNqtFRysz17g//vd5KbtHGIYqfVaFLigp8fYGUFdOwIyKr/l4eP5oIITmTwN5ltDVcLbkRw6PP5k4bSeEalpqbi2LFjiI1V3jBVGv777z+w2WxaDE8B4NSpU/j8mRvBkLXyUgaStGN5qJQruCqojnKZMSkEadmSYuokNFohiYL9k4nkzeTCbWlkpYp6iaKIDnmMW3t3SLy2zOcctKurbpFTmrA9e0Ms2cVjyhjM2+ONq3cbYu5coG9f4MYNgIpkrMXkNkgI537+dW5+BfpKN9rUqCuQxUr3iUK9eeSJytOnT2l1UsjIkK2ByWAoHzHZu3cvioqK8PHjR1qE31+8eIELFy4A4JInABQy2fzrfgsUM98VxvTp0xEQEAA2m42uXbvKf4MCKCkpkXqt0q3gqqA6yju5AVCM3JydufVy794Bw4ZxbXdoQtqxKJXJ7UNbPVoTSSSRG2+VVF7JjQcGgyG2mjtqswA71z+FhQVw65bq5Ea1LKg4VrzQfvny5bQaLoeFyS7LMGygXKZrXl4eDhw4AAC0reAKCwsxbtw4dOjQgf+3mznd4V/vYSoacJcPdXV1BAYGYty4cVi8eDEt43z+XFzblYcqgqsCAMDl+nvScXkkN0lF3DJ1JZOSgKAg7ibOrxkoFSTYB6P4oyCZpPYkyWHGqLAkMXIzduuLQTOoSS9d3OIkMQw5cPYiqeG/8gyCILDs5EUMWbiMf25Wry3w2h4JKvy8atUq/v6O8P/Pg1ORKvWXnJyMV69e4dq1a/IbKwh5+091DQYq1d/58+fRoEED6Ojo4OPHj/LfoAD69++PjIwMzJkzB1u3bhW7rkqY9cuXL/j27Rv6ibrRUsDdu3elXqsiuCogNa8Ix0IEmX3xW1Rz5C5NKE1uADBkCDfOFRcHDBgA/JJEUwWihPW230/U6NxAYjv9i+S9QEVWbTk5OWKmqzzEPA3CTqvR+BIRTjq/4IAPbM/egPkIybP9rKwsuaEwZVBSUoLY2FgwmUxa+mMwGLC3t4f7CV30X36If/6KmwOKKOzPJCUl8RMZhNH6XY6E1vLBWyEcOXJE5TEJI1WByVbdOsoRwJw5czBkyBBMmzYNa9asUXVoJJSUlCA8PBxdu3alzXk8MDAQZmZmaNBA/LejKng1z5JQoQiOzhBBUFAQbWmqwK/Z6LJlCA8Pl99YQURGRmLRokVgs9nyGyuINWvW4OFDQYYkQRDo5io43je1E9SV8HeKj4/HtGnTUFhYSNsYHR0dce7cOf6xSuT2C+cyMpDg7Y3Cjx/B7ttXJZITJTeXzFNYsHAB9u7dK7Mde0FbhciNyWRiwoQJmDBhAmnjnVlYgJ1Wo3Fzj2Q7ploG0r3PHjx4gPbt28PX11fu/RVBUVER3NzcMGTIENoIDgDU1R1w6lRvHPM1woxtgs/zwDzVfdFmz56NadOmgcORXwMnDMO1kveETExMcOzYMbi4uJCSYegCr0+CEIxXXV05QQIGg4GhQ4di6tSpfPsdqiguLsa6devQsaPqaiWiaNWqFdavX09bfwRBwMrKSur1CkVwdMm6ZGdnY/r06bQWbXt6esLPzw/16sk3XFQEubm5mDhxIjQ1NSlLgvHg7e2NgwcPknQ5m64jZ0yO+UtxqaLs7GyMHj0aGhoalGd4BQUFePv2LTw8PLB7926+EDMVcvv+/TtmzZqFzqtWwX3IEKi1bw/o6ys8JoJDiJHWu4EF8Pb2RmJiIs6dO4dv376BySyRGJJs0kz+HgVBEJg7dy4ePnyInJwcxMRwlU12Wo3GvtmTSW2tt+xSKAyZmJiIt2/fwt7eHu2EFYkpoFq1ali/fj2io6NpMQsmCK6k6M6d9TB1KrB3LwP1TUzxv3YClSB5JQ/SMHv2bAwdOpRf2K9lI7CfYrOlk55GbcF3WDiTsmPHjpgzZw66d+9OS/ajaJ0ar8/4Tx5i55TBmDFjMGjQIGqDE0KNGjWwfv16vvpPbIogrHp3hWohxp49e2LaNMVEBxQBg8GAra2t1OsVKouSjgc9QRBYvHgxGjduDAcHBxpGBURERMDW1hZnz56lRVOSIAgsWLAA+vr6tOlKhoaG4t9//4Wfnx/atOFK+qqaVJKcnAwDAwNMnDgRBgYG8Pb2pvzD9/b2hre3N+Li4nDr1i107txZIrmJrppklQKsX78eRUVFKCoqQnHnzuBs3Mj9DmVnc+Uxmkovf+AUlSDJOZR0TnddB8xv1w4aGhqYNGkSli5diq+vC6EWSm6nTCLJgwcP8Ndff8HOzg4dOnTArqlj8VikTQPT5pi+dbfCfTZq1AgrV5aOEj0Vl3keCIIrJbplCzBrFtesnffTnuToSiK2sGsX0XXsBEr3q9+wJniG7rd3v8BoW/nZf6yUAmg1LF1ZN1F8/Xrwt95PWQzZFcR/3cqQugXX70CFIjg6cPr0ady6dQsRERG0rAjz8/NhZWWFhQsX0uLlBgAHDhzA/fv3ER4eTnmVyWKxkJ6ejgkTJmD16tWwtLQEQC2pZNasWdDT08Pnz5/x/PlzymMsLi7G9u3bkZSUhFatWkFbW1siuQUFBSEzM5N/Tha5hYeH49SpU9DV1YWtrS1WrlwpmCBNnw68ecNV7W3VSnw833KR5hlBOmfs1hdOTk5YuHAhFixYAENDw1+rNsF+SnQNNQxxVE73cMiQIRgyZAhKWCzsmiqumVrREkcUAZMJBAcDCxYAXl7ivrW2Z2/wSS7I14cywQmjYxpLoXbZl2NRfwl9obkqlA3+KIL79OkTli5dCk9PTzSVMXtXBv/++y90dHSwfbvkfRJl8eLFC9ja2uLixYswMTGh1Fdubi4cHBzw5s0bdOrUiU8I6T+LSUkln7cqnlQSGRmJ+/fvAwBWrFhByyTBx8cHSUlJ0NfXx/Lly6GhuRUQ2m4dZBGP79+/IyAggH/OyclJan8EQcDJyQm2trZYu3atuGrE1q3A4MFA//5AQADQRmBS8zMkEdnXP/GP9cc1Q82eRvw+eX+vaEiy9vpuGFJTNaKXFIqrjMRGEEBREaCjw9WVrFZNoik7AGCKyw74O60GwP18fvfnwfxGj8pGFcoWfwzBlZSUYPr06Rg1ahSsra1p6dPX1xfnzp3Dq1evKO9BBQcHQ0dHB5MnT8bKlSsxerRq+w+i4ztw4ABq1KiB4OBg/p5El80Cb7SD1uZKhRf37NkDAKhTpw46deoEPT09SmNksVjYvn07FixYAFdXVxDEK7yNEmQTDrKIR0FBAY4ePco/t3btWpnCyT9//sThw4dhZCRlP7F9e67/ioUFN7vywQOgQwekn3yPoveCrENDuy7QMOCG5BgMhlRyU7W2jVlYILbPZtKxMyas26hSf6qimMXEw9BniLydBN0s7v5QYfNkTJjWD02N6LFx4nCAJUuA9++B+/chtwygUSszWu5bBXqQLyS6vn1CxXEa/2MIztXVFYmJibh16xbl/aKoqChUq1YNixcvxoEDB9BKQphLWRw5cgTnz59Hly5dsHnzZsr9EQSBQ4e4qdcaGhqIjo5Gx44dxfbdRihhd5GWlgZfX19MmjQJ+/btoyXV9/379zh79iy6du2K4uJUPAlZyr82cEAMOBwOaXU8e/ZsuftAurq60NWVs0dgZgY8fswludmzkTh6HwimIAGh0abeYGiSSZTD4fC9xnhQldzKYtV28sJ15D2Qvq+kC0Hyg05cQ9xyiQUgXjS8YF9faGkqrrTBZnPDkT4+gL0916tWESw/dRF7Z3DDk8dWLMLc3YfkvEM6YnvWR4tQ6rWQdKOiiLi3FbLNmtSlfLugCKPSE9zPnz8RGRkJV1dXPHjwAPpKZNFJAkEQmDJlCjgcDsaPH4+ZM2dSHmNeXh4uXLiAwsJCREVF4cWLF5RlgV68eIGIiAgMGjQIPj4+aNy4Mdo4ketFlC3mvnbtGvz8/Pj7eHSA561HEASehPTkn+/W9RrU1DRJ+2zt27enHLYloWVLICgICYcTAWFy29pHbBJUVMxC+oZnpHOqkJskP7Z+1nNo3Wfi4enr13h9SNjlgJ6kCe9/BSvYpV4WMtuWlABz5gCnTwMbNnD/KTq/1NQShHyzkhNVGisPA8e1QkI5JDhJklpdu1wpg5Eojoqk9VupCS4jIwPz5s1DZGQkVq9eTUv1fHh4ON69ewcAMDU1RWZmJmVbnvPnz6OgoABdu3aFn58fP0WeCk6ePIk9e/Zg2bJlUFNTw/fMAhQI6cipolQye/Zs2koWRCEswVW3bn/o6rYVSyKZMIF+Ekg4TH5wGo9RE3sCpyTkgrVfPOlEWTy/fA5P/E+SztG9arsTFIz4M/ITKQqbJ8POTvFQ/f7FD8CQUFV0YDF3X1Qa0a1axSW3zZsBVcpOu1tOxvPL3JpIgsMpU7FounDzpiCKwgu1/8wXrJR1dekp7ahCJSe4y5cv4+rVq9DS0kKLFi3A4XAom17yCmdbt24NNzc3WjznTpw4gbVr18LFxQVaisZvZIAgCKxduxb/+9//+Md9tz/iXw+xlz3rlobSIjfRjMmOfx1TuNaNCsT20i7PB/YnctVPBgwAALwO+YZ617/y27xroI1hK7spfa/SDElyOBwcXBIos428lZY8LPMSGAcXFRfjqA05VHtgcQDy6v+AvQu5xmnZMm6i6tKlUAl9pszkE5zH1LG0fGY/84pRU5e+GlhlIUmH8vnz4fzX5W2FFJUoUIDxX6i8wHJZolITHE8No0GDBmjbti1lcmOz2fD398f06dNx8OBBWgpes7Oz4ejoSJvzOMD9gfDIDRAv5m6kT72WiS5QKeSmAomJIjaB3OzKkSOBa9dwP6k+zN4LftyZlqYY1r2R0vcSJbeVflehpkZ9shAa8QbhBzOlXqdKatJQTVub3zdvBQcAxXEcmNRvhsTMFDQ0XI1Hj2egZUtT/AbjZqWQ/D0XLdrQI8jwJ2D0vif81z1M6TORBriKUnTqUoqi0hJcWloaAgICMGTIEJw5c4YWg8Fnz57BxcUF8+bNo22Wpa+vTyu5iaL9BrIQaXkSUQ57SXacHmQRj9OnT5POlQa5JTpKSRRp2BB49AgYPBjsEaPQafxmFDXjzlir23WGsYFyCsDZKT9wdPl80jk6Q5KSyE0RUmOyWPBw94fuV8lkPdbZDI0NFUs+WuplASaLBe9/g+HzYAPMGtSCFuMcYhM7Y+SwGfgQd0qhfmRB37Ahsn+oriMqiqzEPKCK4MocAQEB8PLyqiI4VXD58mWsW7cOzs7OtIXWevTogd69lSvkLUtk/CxGnlB6b3kit8LCb8jNfc0/HmQRj5SUFMTFxfHPlQa5ZZx+D4IlSCgR20urXx9Bo93QPWMNiF+TmPouPaGlpdxPpTRCkkfOXEJxkHiSVGGLZNjZSt5PO3f9DtJuioe9dSF9JXrNORoAWfhZFnFqaWpiqZcFlh9Ogzou4nNaB0ww98C1SH8A1Alu3h5v/udZwmJBQ4kMTknIzCmS20Zdv/RDmG2E6i95qFaNnrIMNptdalsKdCAlJQXW1tYYMWJEqd6n0hLcyJEjYWxMbzpref7CSEJnoXq3B6tKb5akLAiCwNNQgR3IgP7vuPtIBwVSRXQKsvLw83kyCqMEdW6SEkUebg5BK44u0qZ7AgwGjLb0hlpiIqCEBJsouc3b4w19BVdEkvA9JRnXNkQDIJPbIHsTtDYxFWsvHDYEqO/pCvc5zsUMxvXF/5a8PECn+iN8SmuPSV3cUcA8DqPa0g1GVcWe6ZaUJwra1eUTpN4wE0r3kAZh4XRe0hSLlcs/17OHdOsXRfHy5Uvk5+fLdLpWFMJlRcsN42S0VBwcDgfTp0/Hjx8/UKtWLVr6lIZKS3B0k1tFg2i9W/P65Uc7Tjhj0th4FtTVq5FWazwBZzrBSi1A9mXBD7TR1j5ibe7ueIa2P3+t7njkducOMH48cOIEMHWq3PuIkhvVhzGZrMgQJjdZ7Xjou8oIHVq2Vvjebo5noJtmSDp31Ym7uvvHcwBpT/vlS4DN7gST/9njUrgHjOs2wZzBG7Fr6S2sPFC+7JcaN5T/W9BpR31LQxI2bdrEf62uro7w8HBkZU/in1NTo7ZyLCoqwqxZs/jmp3SiZnV69u7d3NwQGBgIAJSFIuSh0hLcn4xL4Qmk4/IUmhRNKmnV0kksFNmlSxda78lhspHi8Yp/bOTSS2wP9c6R12iXIUivN9rSm/sA79cP6NWLq1/JZHLVgaWATnKTRFg1BuZhttU4LPtV78xms+G1VFSaWYCxG83QuIHqK0f7TYKMSNHxHFwSiPzGP2BrPw3q6sDAgcDnz2owNNwOYLugPX1OT7TBoKn8h6pokT8ApKen07KXzwObzcaiRYvgto22LrFhwwa8f/++VKJN1Wlyibezs8O5c+fQqFEj1K5dm5Y+paHiF5VUgQQOh8Cqc4KarfJEbm/ezCEd/46MSYIgkOT0lH9c38YcalrkH3/I3Xi0ixP4sPHJDQBq1gRu3eIqnsyZA0gwvSQIgjZyKyoqlkhuS70sMNuKLOYtidys3DpiqZcFlnpZUCI3SfcX3Yer8d0QXksDwLPuMxRa7P3jOYD/WpHVJd2Q5aFYq5bkVVJRfLbU9xAEIdOWRRUcPHgQL1++pK2/0NBQuLu7AwDljHEAmHtcUM6Q61quaF8AACAASURBVGtDG8HFxMQgKioKPj4+WLhwIS19SkPVCq6SwdRBUBLwt7nyKe2lBRYrBxmZArsNnoCyMEolY3KdIMVZd0BjMQuUb3GZaPIoiX9suLm3+MOhenXg+nXg77+5mlOdOgG/FChKmEzsmfE3qbmq5CaN2HhIzcrA+XURYm1E25UmlnpZiNXdpQUEAJPJ9xf9DOmoQVUG3t7eWLx4scRr0saR7v1Wan+3bt3CuXPncPz4cVoyqAcMGICxY8nuEV26XFK5v5KSEuzfvx/q6urgcDi0rOACYgTKL88DbtOWOX7q1CkMGzZMzBdPVcgy4K1awVUijN3/hHTsMbn82H0EBZvzXw/oHwWCIEgCyhs2bKD9nqK1bnrDTUjHBflMqB15J7ju0A0aGlJ+EtWqAZcvA2fO8MmtICebRG5GrdqoRG4cDkeM3DR6ZfJJi3ddlNwKWyRLXFmVNn78UMP+x+R77tl9Vqyd8LhkFaI/e/ZM6jUehN2+5SEuLg7btpHjfkym6rFSNpsNe3t7FBUVIS9PdZeBy5cv8197enoiLy8PDx4K9lH1av0l6W0KQUNDA1u3bgWLxYKnpydtqy0eWrRogebNm8tvKAdsNhtnzpzBjBkzaBgVF8LKMKKoWsFVEhSx2IhMEBQll6fQpPC+m5ZWPair65BWa5MmTaJdvUGe4j+Hw0Hmpuf846IZrWAsJXTFh7Y2P9Hk88XzuHTuBP/SyOWrYdZb+ay1XUtvQYtNdqIQJgZZ4T1ppQHCIAiC1s/26dP3mDXLDD9+MNDB2gKRvtzxacSoXle2bNkyhISEyPQVrNdEcXurw4cP48uXL0hLS0O9etxxRTs9QV0V5/O+vr58p/WUlBSVM/8iIgQTlIULF+LixYsq9SMNV65cgbm5Of755x/Kfa06+4b/ek6jNMr98RAQEIC8vDzavDMB4NixY1KvVagVXHFxsfxGCuLly5fYuJFeWxJHR0e8fv1afkMF8enTJ9jY2KCkpERu29aOAiHly0ukCzW7ubnh0aNHUq8ri5SUFCxYsAD5+fkSr4smlfTt80wsFNm2bVsAXOucpKQk7Nu3DxcuXFB5TKLk1ttvOmbMmIGsLIHwsLArQIxZLTRvq3i4JObVCxK5zdnlpRK5HVgcQCK379oxWLCXm9159sYduSFLWWCz2di7dy+p9IIOpKR8xNixP3HvHtC3L7D4gODvljfejBzxPS42m43p06cjNzdX7JowlCHp8ePHY//+/SgsLOSfU5XcAGDcuHHw9fWFp6enzL09ZdCxY0esXbuWlr54aNmyJW19Xnot0GhdNm2MjJbKQV9fH1u3bqXFGZ6HPn3EM6J5qFArOLoyg1gsFubPn48Bv/QG6cDNmzfh7u5Oi7sAwF1hzJkzB0ZGRnJT5kVLAjr9T3Jm0uPHj+Hk5ITg4GCJ15VBUVERtLS0MGvWLBAEIfELW1ycQjoeZBGPyMhI0jlhsrt+/Tr27duHp0+fygw7yMLP0CTS8fUmUfj27RtOnz4NU1NTODk5Ifm/p6Q2g2cpHhpK+RyPm9td+MdLrtyDTgsvYNMmxWXyIU4GtxM80LZtW2RkZODSxmiI1q8pG4ZUV1fH8uXLQRCEUu+Thrg4rlmppeV4CJtJiP4mfxYWoKaO5PCY/9pwsb9DXV0dK1asoGWMPPTq1YuSG4eRc0/SsZ6eHiZPniyltfKYOHEiDAwM8N9/8/HsOTe027/fGznvko/hw4fLb6QC6NDb5aFr167o2rUrbf0BXH9Ie3t7idcqFMHRVRvl4eGBrKwsWnzXACAnJweLFi2Ci4sLWrRoQUuf+/btw4cPH3DpkuyN55xCsnK8tNBkTk4OZs6cCQcHB3Tv3p3y+GxtbVG9enW8fv0aEREREjfun4QIHjIWAz+Cw+GQ/h7RlZy3tzcCAwPRpEkTmRvH0kCw2Mi+Gs8/bujaC7vM5gHgFtUuWrRIjNyUcQXI/pGM0/Y2/OMl3megU8sWcHUFiouB7dvlktzr6Pd4uucH6dy83b2wRHsgAp4/+0VuAsz06Abd6qprnjIYDBBsNnKuX0ey/ToAQH37tagzc6bCyvwxMcCgQUDt2kBkpLgL91IvCz5hn1j5rFT2BHPTStfqpjAqnf9arRr9j0Xh73q7dly3gGfPh/DPaWiUnzpV4Qlz8JqBMlqWf1QogqMDcXFxcHZ2xqVLl2gRSwaANWvWoGHDhli5ciUt/X38+BHr1q2Dn5+f3NnTXxvv8V8/WzdI7DpBEPD09MTz589haGiI/1TxLBFBYWEhTp06hby8PCxYsEBi+Eg4NKmj8z8wGOrYuNGZf040w+3r16+4e5er4jBixAiVVBgSHQXkZeTSC9euX0dBQQGuXLmCcePGUXLiLi4owFGbBfzjZT7noF29OnDoENfB8/17rvmZDBkp0VVbvk4W1uyaIPEaoFpmZEFYGL7OkB1FSHXbhlSR4iujHduhN0Y8FBUVxdWfJgjA31+c3BRBsVkytKOplSxccadnMhplUh2SJCAyTkdLOFuFxnXoTVb53fijCI4gCCxcuBCWlpa0aaAFBATg+PHjePnyJeUV5vfv36Guro45c+ZgwoQJcjdiRUOThnrVxNqEhYXBxsYGBEEgNDQUmhR1/ADgxo0b/GyyGjVqiBVrfvhI3tvs1fOR2GrN0JCskOHj4wMDAwMcO3YMo0eL6zjKgzB5Ve9UH2pa6iguLsb79+9Rq1Yt3Nv9AsLKf8qQG4fNxv45ghDVIq+TXHIDuE/8/fsBFotLbrm53No5ESYQJbDp7l2hV1NX4jVlV22pu3cjw0t1t2sASFq9Bkmr10BNVxetwl4AACIiuOSmqQkEBACtZYigCK/idmz1xep1ggSYVTbWlGvh0r58ovR+HoYu7ERLP1QhHDpuY+ZehiOp3PijCM7HxwcRERHw9/en3Fd2djY0NTUxf/58rFu3Du3bt6fc56VLl7B7924UFxfj+vXrMtvmFSkWmjx//jx/Y9zf3x/m5uaUidjX1xd6enrw8fERc/cmCDYSEgSmnoMs4pGenk5qI0p2bDYbqampePv2LRo0aKD0eERXZnWsWgEArKysAAB5ucVo80OQoKSsWemuaYKJxtRN7qhZuw65AYPBXcUVFHB95Dp1Ag4fBn7tT4k+3Hkrs6i4j3jsniDxmiKIbm0m83qryAioyfEXFO2Dk5eH6NZmMIuJhqsrtzoiIABQJvJe/St9BeZ04PbO5+D9OuXV4qnXEZ8kUsWHDx/4rx0cHACQ5eoaNrQUe09ZQXjS/N5lWBmOhB78EQRHEARSUlJgZ2cHDw8PWgoMV65ciZ8/f6JGjRr8Ly1VXLlyBV++fEGtWrVw9+5dTJWhfdjeWRCafLJWcpycIAhcuHABOjo6OHLkCKZNmyaxnTLIzMxEamoqwsPDYWoqLvQb8Ehg/tWrJ1dpY//+/fxz0oq5Dxw4oFI6e8Eb8t6MJPLK2fKC/7rhZuXcIIQVSrpbToaRLC1HHR1g7Fhg40aurJePDw4sCyI1keSjJnpNVdQaORKNPHYq9R6zGG5ojuBwENOmLf98dGszHA+PRno6IGQtSBmpWRmoX5teTzF5aJ8mez+XYAkyIw1X0ysTBwB+fn7813QYGv8uVFfSQaM8ouL/BQpg8+bNiIqKgrm5OWbJ0BJUFCUlJbh69SqysrIwdOhQfPnyBS0pujpmZGQgODgYmpqacHd3l0lu/baT0/yNa0uOk4eHh4PBYCA0NBR//aV6EakwiouL8ejRI4k1S6IlATo6xiRC69mzJyRB1exYgiCQ6S+YHUsiN+HVXYxZLRhLK+SWAFH5rT5T5GTIMhiAszN3Nffff4h9mgA1i3XgqHN/ZtLIzXpHF+jryq+tkrZi45EUFTDU1GAWE026x1dzM6X6Xnygv0xtTAB48fotRlsMUHGUpQPhvdvf7abdsOFE+Y1+Ez6lCeTqujetI6NlxUGlJ7j4+Hg4OTkBAI4ePYqioiLKNRihoaHIysoCg8HA8OHDacmcvHnzJurUqYOLFy+ib1/pITQOh8C3zAL+sayC7pycHLx8+RJ16tD3ZW3YUHL4ic0me2wNsohHaGgo6dywYfSGPIRluBo69hC7Lhq6VKYcgJK2pIMDQq5/Q+9nh1BQvTae9F4mldwUWbWVJrEJIzAQGPU9GsHGnaHDKODfW9H7KDJR+fI9SW4bWRiyYJnK7402ryMxwaQ0kZIiKJXhJaEJTwTbmNGotEwRFjsFk5OziyRPRisaKj3B3bkjKID++vUrqlWjHmO/efMmatSoAT8/P4yRkHmmCr59+4awsDA0adJEZjthrUmfObLrSSwsfp+EU+BjQXjLYuBHEATBz4oE6NeZFCUv9Rrk5JlH/u8gPO1QZt+NqnDygcUBwF+TUayti++NzFUmN4IgEGMmbopZGrh/Hxg3DmjaFDB6+ApZAwSkymEy5e7liUKa9mRtiv5fHQYrV+v1/vUP8O44ZHJbmW1r9KR/71C40L60rWEqKvLy8qChoUFr8TcPFUrJRBXcvn0bmpqaOHHiBDZu3EhLCCIyMhIhISG0kRsA2NvbyyW3E0+/kI4HtqJHrJQqREOT3JIAQSYlHdJBwiiKzSIdS5LhavEmU+p1WYh8eId0rBK5/UJ06xGY5TsVYLOVJrfo1mZi5GYWE037qg0A7t0DxowBWrbkruIMDcmrww8dlA9vJ6amSDzf2Vx5wo56dF/p9/BQ62yszOsZ/jH817XHUddalAeCEOz3mZiovhqlG8LJJQ9tpZfocDgcWu/LZDJhbW1danuTlZrgioqK8ObNG9y7d482hREWi4Vjx47RtqfFgyKZjRuuCYSBy4vWJJtdSDoeZBGPK1eukM6pkhkpC+lHo/ivJZGXsAyXnkM3hfvlcNi4f1iQEEOF3AChPTeRfSlFyE0YukMGlwqx8dC8OTB8ODdbsp7qkpIkJKVKLsxu2dhE6b7ueu2hOBrpKHxDn86iKIRFpHkSWsJJWM1M6ambpRvN6kkuUWGz2di+fTtt9yEIAvPmzUNcXFyp+NcBlZzgvn37hgcPHtAqyaWpqSlWw/U7IDzDampQQ0bL34vAx+34ry0GxoIgCLx5I5AdKs3QZIOV5jKvA4CuPAFlIeyaKigHWHnmqlLjkkpuouffOwNSFOmJkhIxcjOLiYbxvn1KjUVRhIUBHA5gagpcuQKIbtUKk2r6ocNK9d2wvmSm/J2WOcIoWSA7PFkaEN4eKY3wmywQBIGgoCD5DQF8ThfoyOpqS55oEwSBlStXikntUYGDgwNOnz5NOUFPFio1wbVs2RKtZVWnVhCIynE9shtQNgMRwcMAckiHwVAjhSZtbGxE30IJad7kH5dmAzLRx0eTZ+Oq7ru17t0fakrMKBUmt4FpwNOnwNChQE4O6Vryxo2IaUeupSzNVZuvL9CjB7BXQReatF27lOrfuB79k8BRy1cr1V54smPSTDzRKj9cEEZttFW6YC9dSE0V7El36yaYsBIEgVQpK15VsXHjRrEkL2kY6B7Ifx3pPFRiGw8PD+zbt48WyxyAWzrk5uYGALTJG0pCpSa4ygJhOa6YTaUjqKosCIIDQKDGMMginrRyA0CrHT1BECiOF5CCJPLSPhEj87o0iCaVKPMg3e7mSzqWmVBiZQWcP8+V9XonCDdHtzZDtp9AfMDE369Uye34cWDGDKB/f2D+/NK5h5q64NFCRcUkM0mgat9aBccGWcg695H/Wpm9eUX2oYQjF7ws7rdRS/jndGsKJt579+6l1YXk+PHj2Lhxo8Q6VXmQ9DmcPXsWdnZ2AIBmzZqJXVcFVlZWMDU1RZMmTapWcH8ytt4iP+iqaZZOrFpZBDwSzLr69+OurIT33ugOTQqXBDRyFZ9tC8/WU8fITtYRRgmLvDpWZt/tZ0E+anwRZN4plC1paQl8+QL8UruXFJLU6Vh6RrWHDwNz5nAluG7c4KqKyUQZhRR58Fm5iHIfHzrQN9Hy8fERU+aRB1lh2evXr2PlypUwMTGhODIuHj58iAULuJqpihCc8NbHG6chYtdLSkqQkZHBzxGgawUXEhKCzMxMhIWFYfDgwbT0KQlVBFfOcShIoMFXXhJLfqSQZcQ0NGqQCI0nkUUXUvaRZ7cMdfIsM/gieRJg3ltx6Y090wUyScomlZxYJTBMVaoU4NfKVhK5lSYSEgAbG2DkSODaNUAR0+dWbxRfWTxUMCT2OyA84Rk0rZ3Y9R+7XvFfKxqeDAkJgY2NDQwMDGS2E/a24+mqCmcaWwyMAwC8fv0aU6dOBUEQ+B8NcjFpaWlwdXXl+0cqu4LTry6eyaihoYFatWrBwMAA/v7+tBAcQRBwc3PD0qVLUa9ePTRtqriZrbKo9HVwFRnCs6sBrWhKb6MB794J/LsGWcSTjCUBwMxMtkaiMiAIAqxEgcKCpNBj07B0mdelQTg02WOCdOUYSRAmsrZzucug8zfvQfgnJStbUozcAh4qdX9VYGzMLQPo2JFrTq4IGEqIc8ecKJR5vaeN9Gza9PR0mcSx/KTqBriSUJIiEEtQJDz59etXWFpawsDAQG6ijIeHB/91ly7i0l8MBgOJiYkYM2YM8vPz0aBBA1qSUOrVqwcrKyt8/vwZ7du3l7tF0H+HQBHJabTk8g2CILB9+3bY2NjQNnENCgpCREQErl27Rkt/slC1giunKGSSnYOPz1E83b00ITwTbdnCEQCwbZtAjaEsQ5OayxUv3fj+jpyw0nuytZSW4hBdpQ3o1g0cDgep11Ukt8QE7obY9+8Kj0EZbNsGnPylf929u+LkBgBZZ86InVOmFiohVeB9Z24mOZMxMTERrq6uYueFJyCa2ooLNAg7t38fJlu7RNtUfvH1z58/MXbsWKSlpcHYWHktlE+fBVmwXTpziVpLSwvW1taoX78+bftaHA4HHh4eWLFiBc6dOye3/dcMAcnP7SN5FXX37l18/vxZzN6KCrZt24a5c+fSogkMkMWsRVFFcOUUZk6CFOPXjuKx8bIAh0MWrW3ceDZOnz5N6z2ysrL4ViIFkeSsSNHQ5PvwZNJxAyPJKhkskX02ADjnIhDIViY0+fR1OOmYR2QHlwTyzy32lJ4MITEsee8ekJrKJTkpJQSqgCAAZ2cC9vbAQxUXiCmbyD5sPC9AmegkWFFfdXovsymHw8GsWbPEogCqgsPhIH+boE6y50DxB7fwpKjewg5y+wwJCeGvsOQRnKTkks+fd/PP6elx7Xrq1KmD8+fPw9nZGYcOUbM64uHGjRtITU3F3Llz5So2PYlVbB9x+/btWLRoEfT19ekYIiIiInDv3j3Y2trS0h9AnmCLokKFKIuLi+U3UhDv3r3DtWvXYG9vT5vA6s6dOzHw/+xdZ1gTWRs9oYqIChZUsC4q9oZlVRR710+s2FZdO1ixgIpiA1z7InaxK65r37WLIHYURUUFKwgWpFcJSeb7MSYzk0ySSWYQXDnPs89OZu7cXEMy577tvJ06oXlz1fosXfA4Po3x2px/CzcFdu7cCTs7O3TqpHun3msh1MO5S+fXIAgCr169UpwTwnqTtzTq378/WodTOzw212Ppv15pvC5HQEAA3r9/D29vb1hYWDAsg8lb9+m0vofbqb9NtT5k/RDdosuy+QhDA/ZEoIwLTJUURczt11+BK1fw4M8/Uc/QEEK0mCQIYNEiwNdXhDFjZAgMFGYv++XLF1RgqQaXt2QCANfJQ1Wuq0NeXh5cXFxUHqASWkf36fuOcZ6vIMSSe/TogdTUVGRnZ+vUasrAwIAhhGBoSGX0ZGVloXfv3hgzZgzMzYWpay1ZsiR8fHxgYaG9O/io3VT8WF1sXyKRoGnTpoKW+0gkEr0zPNVBkwX8QxGckF/e+fPnw8rKSrA5nz59Cg8PD9y9e1f7YC3ov5lS4qh1bx2MjXvznhMA4uPjObsvlPHpk6q/nF7z5urqymttcly5cgXnz5/HqspU/nrFGapNKum78E89qmoU0T19+jRCQkJga2uLkQOZTWRLWXFv3UInsr2PF6JPpZ54+ToTpqBqvhZ4sbs6CYJAwixKuUI5oYRwcIChuztKliwJ3LsHlC6tucOoBhAEMG8esG4dMHGiFNu2GQqWDFmtWjXWhAhtXQQmbe7Aet7MzAy///67yvlNo50VxyYluMenLvrcgjylpMJyVcHg5CNUKYnNirac5x0+fLjWMXv37lUcu7mRMlx0IQSnjpGK4zJlyjDaSAmBrl27cspIVK6rVQcjIyNGPFEItGjRAi1atBB0zkWLFmHx4sWs134oghNKr+zKlSsIDg5GTEyM9sEcQBAE3N3dMXLkSN7Wm9epp4zXGzZs4E3CBEHg2rVr2LVrFzp27Ig+fXTPxox6Rj2cu3R+DbGY6a5kcwPqCrFYjNDQUBiKmBaQSRVmLrtUwowBOXSqoXbOtLQ03Lx5E76+vpg1axbWD6f0Q3VxTa5bdwglQJUE+CxbgW7dujFIT1Pcja4raf9c1W0nEonQtGlTQColi9TS00m/YgPdFThEIsDCApg+Hdi0yRBC7OFq376lfZAS6J+NMc8mu1zRMJP6bpiy9DPLjaTc3iKBS27evXunONaWaVmYoNfVvvERZvNcVPFDEZwQkEqlcHd3x5w5c1C1alVB5rxw4QLCwsLw8qVmYVcuOHAnVnHcPeU0mjTRTSKJDTExMXB2dkZmZibCw8NBEIROpElPLKlceQgAwMfHR3EuLi5OkIDxnTt3kJOTg/cLKIkhNtfjx8U3NV6n48aNGzhy5AgGDRrEcE2O8tNN37DES831blO3OKm9lx53sxo/XvNnb2hI6mZ16UJ2B79yBeCoeyqTAbGxZEeAb+EfXuSW/5lS1zDiWLQ/wZ+/Igj976TLJiQni9p0RduXUbHqZTnUJqx0VwG7uIJMlJGjfn1yM8NWGlDYkMkIxmsDg+/b/+5746dLMtm/fz8+ffqkED/lA5lMBolEAnd3d8yfPx82Nja85qOXBUg+v8KKFSv4LhEAEBYWhvT0dMhkMqxZs0ZRJ6MP6tfzQ3x8POPc7t27dYpNqMO1a9dwcpNq1h4dNy/o9qDo0aMHBg0apEhckcO6JvfMNTYi8114hDFGXer4x6XezPedz0ElpV49IDQUKFEC6NQJePBA6y1SKfD774CDA/DxI0lsfC23Vx25KYfQPx9TY9LLcuMhtWZN5C8kUlZS4YEuY1WTRz4sp8SPS3flLgbABTt37lQcDx2qGoP83o1U1YHebuv58qKhilSQ+KkILjs7G4sWLcKyZctQmmdfKgBYs2YNVq1ahbS0NMybp5tOnjKUH8Bfz67A8ePHec0pR1gYGa+aPHkyDh48CGMdapvou9D27ckHyK5duxTnvL29Bfvxjh07Fg4fqH03m3VWPeSjxuvKkP9b9XVNvolnpu7Liax0ClXTpck1mXb0qOJYp0Lu2rWB69fJWJwWsWWJBBgzhpTgmjGDbHdT2IjcTsmq6SKwTJfmGr9RmOzCggZb8hv9d+PU8cn3XI5aKD9jzEyKhipSQeKncVFevHgRd+7cQdmyZTFBIAG+06dP4/bt2+jRowdevnxJxlD0RE1Pamf1+Zg3/tetm0Jyhy/CwsIwf/58+Pn56URGpN4kBVOT8jh7llIxEaqORQ7DnRSZWA5V1aejJ5Z87l2Nc3fmlA/x2gepwfmVlNuZj2tSL5WSmjVJcWZ5PIcgVMyy/Hxg5EhS4tLHB/D01P1t2JAZTP0bNa39jznHYQ7SfclG9BmW7H3h1IEuzWVZmbtHhP7dYNv4aLvOB76+vopjtkxiQ0Mh8mL5g/6MiSgipUcFjUIlOJFI1BPAJgCGAHYRBOFXEO8jlUoxbNgwiMVibNy4ERKJhLdLLS8vDw++uY4MDQ1Rt25d/den5Bcf2akJtm/fLkiPpISEBEyaNAkeHh4630vXm5THEB7Q3GXTpk1TuYcXJNTnYN5ccw+5Fh24u5j2zKaKVHWx3uhEVtOF/L7kK7l31VkneW/fcn4fjahShfz/ly9kV1I/5k9k3TqS3NatA+bMEeYtASB+GresWPMc1dgc/XPz9OWuECOjlRpUqCFcGnlBgs3dz/B6tLujcr0owMq8YBqMFjWo9R2IRKJzIpGoRkG9sUgkMgQQAKAXgPoAXEQike7tfjkgKioK6enpyM3NxcGDBwXJ+IuIiIBYLIazszNOnjzJS2rnF5pfvEduCHbs2CFYA0Bra2u9yE0qZbpdRCIRY3c6YsQIvktjgL7DrrJMNb2bfr3Synac5720g3Lv9XLVnwF6dyTT3He4UQkwmlyTb3pR2WmCaExKpWQReG9m1tusWcCJE8KSGx3l3dR3nb75gCp677uEf1uqDSOoEo4xqzn28UHhWm8rV1KF8GzWm6lp0ZDYo8f3i4pwhDKE7hYOaI7B7QFwSSQSLRKJRAKWGivQCsArgiDeEAQhBhAEYICWe/SCvC9S586dcf78eU6FkNpw69YtjBgxAkePHuVVvpAnYUpybdv4h6BNIfW1VENCqb1Gl86vVa4XaIsLNU0X5TAy4v75PLlK9eCq30FzJ2062NyQUa8pd2WOabryLQq86kLVItU8fUrtOJ1QqRIpJEnrnZWSQuahDByo/jZ9QHetVnBTb8k92kkVvVevUgVv3rxhfG695tfg/J5EATzcChrarLd2bcNUrhcGlGNvlkXQert37x6jQaxQECn/4xkXRaJSALwA9ARwAIDiW0gQBK8KQJFINBhAT4IgJnx7PRpAa4Ig1G4ZRSKR+sUWoxjFKEYxflY8IAhCRdla2/ZeDCAbgCkAC9AI7ntBJBJNAjDpe79vMYpRjGIU48eGWoL7lgCyHsAZAM0JgshRN1ZPJACgV1rbfjvHAEEQOwDsAAAHBwfi/v37Or+REEklBQG6X/yNT+8iUXQpkWQi9DqVDdql82tGbGHBggWCtPaQo6DiJ4cWzsanby7FGfv/1kmNnk2dhKtiD5j+PAAAIABJREFUCe/MSTVISwN69iRL4iQS8ntCEARZI3DrFtCBXQpLF6QGHcWnb39rE7tf8Ms/7Ak59M+iw1wbNLKrC5lMxhCcfntqBEIrVED4E+0p8voWdhdm7I3+m5Af092TbG59bZDJZIKGJ969ewenbVTn+GfLe6Aki7oLVzx48ADdu3dH06ZNcVVf9W4aLl++jAEDBiA3Nxf9+vXj1T5HXXa4pk9zEYAhBEF4FAC5AUA4gNoikaimSCQyATAcJJkKjqJIbjli5Wy8wic3ACrkpgwhya0g8YkWL+NLbvTgd07Njyr3yEHQYjK1b95QO04fZGWRJPe3clu0detIxROaDqK++ER7aKsjN2U0siOzh+nkNmd3D4RWqICjp09rvf/WMaqwv0HHLtwWCkAs1ixWQFctERrPn6tuXOjk1rHDI53nTExMREBAAK910REdHY32XXowzvEht9u3b6NLly5ISUlB27bcNTw1oWbNmqhatSpMTEzw66+qiWVCQO2/mCAIYbc8qvNLRCKRG4CLIMsEAgmCiNJy238G9ZdQyQ9FRQ9OKv2qco6+U+VbzK4M+g6brauyvjvwuKeUqO3EgD16ro4C/eE9b4H6vnEvGjZSHBuV4y7irAmpqWStt60t8OQJoFKjP306qVk5bhwgFgOT9PPm0y1P+8eRasexJd+sXXMIZt90OrPMk5GnQ5by7b8pgus5bbaGkUwkLqG6h7N9N+iqJUJbb0dpxfve3t4qSRxGRrolsb1//x5du3YVRF0JAB4/foxu3brBbFyg4tyrVb30nk8ikeDGjRvIzia7ZwhFRlFRUfjw4QOuX79eYEovhWraEARxDsA5rQP/Y1DOnCwq1ltIKCXsy2a9CdXWgw1CfsGPrVikOC5dnnua9ockSntx1NqWgq1HX3z6RElSBgSwkBsAlCwJnDkDDBoETJ5MkpyG1H42ZN+9x3gtUpMV/P4T03qVu9PMXlM6nQvWDeH8vnTX5KQteznfd/ngE2jqGZ92nqpBNChritTUVK3drbli+fLlimN5t+7ga3aKc5076aZHGxMTg27duiEuLg6OjvyJ+PPnz5g8eTIyS9cE3ddiZKi/69PIyAhlypRB+fLlMWDAALRp04b3OvPz8zF//nx4enqidevWvOdTh59KqquooO5iKh32JY+dlZBQVi0BmDtVITv6AsCXQKprQpXlqi6PsJWUoLI1y3V1oKeb13PUrefdycXUmsqUInfh69ZTFoam2JuM1rBTiNhbQgLZ//TdO2DwYC2DS5Qgi+EGDCClTD6qd6OyIe633xTHmtZ+xpu6xhabnODPvT5RGRblykMmk6lYQ2yo95QqT2CzzrJCKeWaCde9BQtRxMXFMdzVffv2RW4uU8pNJOL+SH38+DEcHR0RFxcHa2tr2NnZab9JC6ytrdG7d29UHOSlOPfWl5+HKCMjA15eXli5ciX8/f1hZWXFd5nYvn07cnJyMGvWLN5zaUIxwX1nKKt5G/PYWQkJumqJ3HqjxxoqCSxwmBeTqjg2YNHEq5lFPUiMddDMW+/SX3Hc241/1+ASMdz+3dHN+LVJoiMujiS3jx+BixdJvWWtMDUlJU1u3gQqV9Y+/hv0cU22nk5KtN1U6m5uamzK+X2VE0tyc3OxdOlSrffR3dYZLrU1Xp956w9kZmYKUvf67NkzBAZSLr+pU6cCAG7ddlKc0zWxpFq1amjXrh3MzMzg6OgoiBcjISEBOz4yRez4zuvn54dKlSph7NixOunYqkNaWhq8vb3h4+ND9j8sQBSNp+tPBLqad+SS7oW4Es14/57amQrtQpCmUyoplkNUC8aTv2Qrjt/+KqzepTqsXXtIccxmqaVXVknwLRBIpUCvXkBSEnD5MtBel+4zxsZA428q+ps3A8uWkfqVakAnN0C9a/LYv5cYrxvXroOLFy/iEa27uSbrVhkn/1jOeP3p0yc4OTkhMzNTp4dx/SaaNx8nwv7h1ACUC6Kjoxmvra2tcecupcZvZFRW+RatiI2NxdmzZ3HlyhWMHz+e9xoBYOHChTAsTf1m1HXr5orY2FisX78e69atE0xdydfXF9WrV8fIkerj2bogLS1N7bWil174H4ay+6VMyYIQiNEd9AywTk7kD3n37t2Kc716CetG/ehLxXzMW6hqTuauoywDxwHcNT4fXqQy/3RJNwcAs1eqVs/Za9cUxwuXjuY0j13INe2DNMDQENi0CbC0BPRufEwQwMOHQGAgJNnZ+OjmhqpKXbiVyU2TazLxLPWY6Ov5CxwdHTGmGSUw7LyyEdttavHmAfX3d9mwA506dcKLFy8YsldsYMi5+ai6Q+nXq64myyaEIrjISMq67f1NLi07m4q3deygvaURHQRBYObMmRg7dqxgWYnh4eEIrUy16pnemb/L09PTE926dRPsc3z37h02bdqECxcuCFYSQe9NqYwfyoJja0uhL968eYO1a9dy8vlzxe7duxEREaH2Ol3N+/hU7ZlI6enpWLZsGb5+Vc1u1BcnTpxAME0pXhkGBkac+8Xl5OTg2LFjWLZsGVJSUgRZX1ZWlt73BgduUzunr68vPnKITYkNqVha3FH1343c3FycOqUqw2Wspyv3xQtgxIhz2L59O7p25UFuANlxYOdOYPJkGK1Zg3J+fgxLLu34CcZwTeSmHGMzNzfHwFbMbNrKOiTy0F2TMw+cQJUqVeDp6QlHR0d00FDLd92LKXul/HBM++cN4/WoUaPQrFkztGrVivPa1EG5LKBFixaMTWGrlmeVb9GKnJwc1KhRA6tWreK9PjkyMjIYr9276y8AD5DlMZaWllizZg2veehISUmBq6srnJycBJtTU/LbD0VwQpLR2rVrERwcLFj2XmpqKmbOnImkpCRO41tU1x6o3bVrF/766y9eWpdyfPnyBenp6Zg7dy5iYmIU5+PeU2n0jRuT3cO1CcjKkZCQgOHDh8Pb2xvbtm1DLi3RQh20pf6nrXyoOP7gzD2mQ4eJGdOvn5WVhYULFzI6IdBB7/k2O4CbS8fExARv3pAPVb46ik+fkjG3kJBeGD5cmBZJMDAAtm4Fpk9Hya1bSVVmAOK4OHxcRGWZciU3gIyxWVlZwSKf+u7q4po8tnIx47XRt+/1mDFjcPHiRZiaqv9716JVHrAmltxIYFw/cOAA/v33X0FiRsplASIR8+9tYaG7Rry5uTn27t0raMup3y9TG+Frc514z2dgYICAgADY2/MX0pajefPmWLdunWDzAdAYu/2hXJQlSnAv2NWExMRE7NmzR1Bxz61bt8LOzg7durErdf9x4YXiuFNdzTteiUQCgiCwceNGeHt7C2LKR0REYMaMGUhJSUHv3r1BEAREIhFevqTIrEJ57oW2ABAfH6/IKitdurTgReC67L73zaVEgafv/YtxLScnB9OmTUPfvn2VbwPA7PnGBraeb4aGhpgxYwYAIGXffs7rVMajR0DXrmSOSHCwCGXKCFgyIhKR/k5TU8DWFpKkJLzuThX/2j9/pvZWZXKTExm9JlDXTt1xT6gCaGUXsqbvDn1TZLlY9TvB6DThQZV3VNYh2UYd6Bs8udVxLYR64OtaFlBQeJuUzXhds3zBlfT8SPihLDih8Oeff6JJkyYaXSK64OvXr9i0aRPmzZun1iLcEkJlWO0Zp/nBvWvXLsyePRv5+fmCBWJjY2MRExOD9PR0bNy4ESKRCDKZqst3x44diuMlS5ZonDMhgdw1T548Ga6u2vuH0dUlrGepZh3SU7Bj6urWcT3pfazaa2XLlsXatWt1mi/3K/XZqNtgyNPPE1ev1mluOe7fBzp3JkvZQkMBHi0F1UMkAtasQV7//njZnrJ87B9Hqv2u3nvymPGarSTAuF2KThsvumty9mHtCidynN9wl/HavBTTysuLZbrljMoKswkGVD1GTk5OuHnLiXFOl7KAgkSntSGK49dFRDiiKKBo/HW+IzIzMxEQEAAPDw9B3JMnTpxAYGAgSpQogaFDh7KOifmcqdOc0dHRCAgIgLGxMQ4cOMB7jQAZ3AWAfv36KXzq10JUW+J8+PBBcU7bAyw+Ph5OTk7w9/fn9FnS1SWMK6nuMD8spGrfOo9ronU+NpiXVS3otbKy4mRddphLdZAOnHVTw0hhcOMGUKYMcP06IEAJlFqk7NvH6E9Xt2kTiNT8bWUyGcIDKDc7G7kBwKTR2orzKNDJDQAMdMjGa/RZrDhmc01+2Rqp8TofLFu2THHs5UXWlX39Srmz9dGbLAjQNW0BwLCICEcUBfxUBBcXF4cdO3agUqVK6N+/v/YbOGD79u2YOXMmWrRowapRBwDdN1BNMrmk7cpjO1WrVsWoUaMEWee7d+/QtGlTHD58WG26Lz2ZpWrVqqxj6DA1NcXff/8tSJyDDxLfUQkGU7brtiGgW41yXUVdUUXHILz8Y541C4iMBGrU0OttOeG5fT189qW6gNuPGgmDo0eBESMAFkktugty7EYyEcp34WHGGF3ibsqWtb5iyhYeKp1QGNcrTNItk1Mb/P39Ga8NDQ0ZiSVtWl8W9P2EAt+ygP8afqgYHF/0798fnz9/ho+Pj2DJJa9evYJEIsGLFy9YSUG5sJsL3rx5Azs7O5w5c0awuJZEIsHZs2dRqlQpAEB0DLU7lYvD+vlRD8Lff/9d65xubm6cyU0cT1mxbLqTdKJJ+V9N2KqMUI8DC2boMJqJDZuOoAT4xWpK9+2DDxx1OoODgdGjgbNngebNSZ3JgoJyKYD982fk975kScDdnSS4oCAyRgemlWY7GDAvYYanr2JQOoXKDNWF3ABmbFRfcgOAMmWZv4OcJ18Yr01r6V6HpgnJycmKY29vb6SkMC16c/Nagr6fvqBbbysGNNAw8ufET2PB5eTkIDIyEp8+fcKyZcsYrjh9IRaL8e7dO1SuXBnnz59n1bujF3Y/W95D5boyCIJARkYGzp07h/Lly/Neoxzr1q2DrS1FG/HxVGKEruKwcuhiuSVuphIM2DYXdPdk4za60Bs/lIjmn4jAdbN08SLQpw9Z42Zjo308H7DVuSnWOWcO4O8PnDpFilyCSW6ZZRMxoGtnSKVShK6lZK90JTe6a3Li5kANI5nIz2dqtbK5HlMOvdB4nQ/oiSXyRKKHj8YozhUV12RsMjOxZPSvNQpnIUUYPw3BvXr1CgCZcPDvv//CRoAnTGxsLEqWLIlz586hevXqWsdzaVeRnp6Ow4cPo3ZtVRkiPqBbl2zlFvQ+ewsXLhT0vb8Xxm/cXthLUCEWOf75B+jfn0wkuXYNsFatbxcE6WfPcividnMDLlwAZsxQia95+A0HAGxzDVWcG7lW1UWoCcpxt9IVuKfDf/a6pTjWVtBdcUYzndalDf8otQmysrJiuCbr1PEW9P34oOOaEMVxUdG05QOCIBASEiLonD+NizImJgampqY4c+YMGjQQxpSPjY3F8ePH0bRpU9br555QhcWtanATKC1btizatdNftJYL6Orn8t0o/YctRN0dHXRpLjb3JB2vSop0ck/mZKQrji0rF7BZpCdu3QKcnYEmTUgrTgCtWlawkatG4ecePdSWA9DPVx0iQtlS3H2pyuSmr2vyuaURbJWSYZRdlyZVSnGemwvoGz1vb29kZzMLyKvaclO0KWgoJ5YUhqZtUlKSYF4miUSCmTNnoly5coIWgf80Ftzr169x6NAhQVpSyNGxY0d0765eT3LaIUrV5K8pBdPQ70cAXZqLzZ13N5hqb+K0RBfxRWDrRGHKKPjCnpZaHzvmN8Y1Bwdg3jzgypWCIbfkvXtV423PorR2NVAht6ilQEYG43x2rQ/o34V7V4Yvce8Yr3Uht8ceoYzX3RYwfzOElOl5KEjX5LRp0wAAd+5Sda2dO70S9P30hbIHhktiiZAiGQRBwMfHB1euXBFkvszMTAwYMABbtmwRXBbwp7HgXFxcUE1Jj48vNMWgpHokl3wPSKVUc3briuROW1mp4XvD5lK89kFFHCLadyHnHknop04B7doBFSoAAioyMaCz1QYgIfETTi2hirzzjLMxp8NXYPcdfKrdBia9/SA2LYUc0wzMn889i5cgCOyfR/WimxPEXcIqNycfVrT9Nht5JSyiuqTb+Oi2EdKGTZs2MV5XrFiR4Zq0tRldYE05dQVd8u/8TO0kv2/fPjg4OAjiucrLy8PEiRNx6NAhfPnyRfsNWhAfH4++ffsiMjISlpaWgkir0fHTWHBCk5s2/EJLLilKhZchoVQ6dcOG5I9aXXmD0BA6XiIkskvz19KkW3HP7evB2RkoyP2CitX29IlWclu96iCD3Ewd0zDHvx8wZAjOdfZChaSXGPDPPBh/TcO8Tf/TaT3rh/dTHE/dcVAnQkim1UhWWqk57lbC3goigWu9UlOp9k3e3t5ITWUWmNet6y3o+6lDaGgoxGKx2uvj94YzXterrN51LJVKMXfuXHh5eaF+fd3lxJTx5csXdOnSBQcOHEC7du0E6QuXlJSkUKjq3r27YB0L5PhpLLjCxM9ceJm4jSrE1RYvSexVVaf4Gx1j123R804S5hn8f6wiJYs+qk49VF8j3OaBEIvxorFqAbxR5cqofU29gLYcAVOCUQpVFK8HrWqESuUqQCqVkgklNdvjfPdlcHiwG5P+0M1CosfdGnbqhpJluKft08nrRaOysDXSHHcrP1bYdHi618LdnewhGPFwhOKcOtdkYmKiYFqSBEFgzZo1CAkJwblz59SOC35BdZ3X1Mg0LS0NLi4uuHDhAtzc3HhbnwRBYN++fXj0iMyGVid7pyskEgkiIiIQEBCA0gVQM1NMcAWA5x8ztA8qBEilVLJHzZozATCTSwrCPSl+p/mzePc6RfElbN6xht7vU85WWAs9o2YcSr/Vfc7L056j2xbKsoptXg9mzZqhxpHDGu7SDHWZmQD37uHK8bZpWztBJBLhccwLhK2nSmaed6iOvv++JMWaxWIgPZ30sWqAclJJjykzOa0JUCWvriOZBdvSbGYxur5xN7n2qjKUv/MWFhYM12Q9e1/W+/bt24fo6GiNrVq4IisrC+PHj8exY8cYUnnKoCeWePerr5a00tLSMGDAAFy/TgpMDBgwgPcaRSIR7O3tIZVK0bFjR0EILj8/HxMnTsTUqVMxbdo0Ri2sUPhpXJTfE702UT/aoqQsEBJKuSlq1STre+hZY4UBo51Ret/LV8VfEzwXjNX5npwcsqxsUX0m6eQ+fIjn9vU0EhUd4vgExXi+5JaWmcGaKSkSieC3IIhBbtWHG2Ce50iS3ABg4kTA0RFIUN/slU/G5GOP64zXbOT1cQXlurRZpV/c7cKFCzhx4oTKebpbEiDJLjx8IONclSpM+b2cnByMHz8eY8eOFYQ4Xr58idatW+PYsWMwNDTEwIEDWcdtDmaKOo9tV1PtnGXLlsWwYcNgaWmJcuXKoWPHjrzXmZ6ejilTpmDFihU4evQo6tXj9l3WhPXr1yMlJUXRvUSo/nB0FFtwxfguqLxY2K7gAJAQrV4NX0gETAnWWuQsk5ECIdevk5mSxsbPQUileNGgIWMcV5Jjg/3jSLLrNkd3kzKxAcwyAAtQ7rWRaxxQ1kLJRTRhAnDiBNnLJzgYUIpj8yG31y+SYAXq3yEnt4iICFhaWqJmzZrMLgLD6kJkqJubLTc3F/Pnz8fu3bsVwuB00BNLlixZQoosZFJxVOWC7hcvXmDIkCF4+vQpfvnlF0ESIipUqAA7Ozs8e/YMTk5OatPu116iWly90RLTf/PmDebNm4d9+/ahXLlygkjpzZs3D1WqVMGsWbMUIuN88OrVK3h7e+P48eOwsNBPaIILiglOYPieo3bVRya2KcSVMEFPEzY2JuNN9Fbvi2g9woRC7lNKtNewlLC1dQBweWeA4HPqCoIgE0levgQOHGAWcIsMDVHvBTvRcUXdx5Ew0KMuUZnc2sy0Rot6DVivqSVvR0fg8mWgZ0+K5GqSlgMfcpPJZDDdS/1OKq1sh+zsbCxduhQXL15EZGSkiuvSvJlusa6HDx9i5MiReP78OUaNGqWiMkR3TXbp0gUGBgYM12TbX5nWJUDW0sbHkxm/I0eOFCSrMiIiQmFhpqens46huyand7aDgYaYvkwmw7hx49C/f38MHsxdEFsTgoODsW/fPjx48EAQciMIAlOmTMH//vc/RXf0gkIxwQmM7depwtBffylXiCth4s5dql6vgyOZibVx40bFuYIQTE4+yD3BInWgbvqTAJCS8F77IC3ov6wezixlX+dEf0fsnE4+aH09j8DT14VxnSCAhQsBPz9g/Hj17yEnOjlkYjGiWZJF6ty/D8NS/Pp4qbPapFIpZDIZQ0xZfk0j2rQBrl4FunUjpVgiI7HOhSlUrgu5AUxZtryx9rh8+SKmTp2K2NhY7Nixg3Ed0D3ulp6ejnXr1imygydOZDaRVY67OTo6MsgNAMzMVEUDXr9+DWNjYwwePFiQNlZpaWkYO3YsvLy8MHDgQNZaNd/zzO+mti7d/v7+iI6OZnXJ6oPs7GxMmDABCxcuRMOG+m3SlLFv3z48fPhQsOztfBbRcDmKCU5ACFlMKTRyct5oH/SdwVDyb/399CfpqGpdGQD5Qws6cw7D+1M7ShMa6ZdOZWprEQSpV7xhAzBlChl74xpCMDAx4ZwcwhWZOVnYP+ce45xElI96A0UYN24call1gVV2FcZ1ztqSLVqQ+mK5ubzJjW6ZvTYFSufGY/bs2YiNjUXFihUxrHU/ZLym4k36JJVYWFggIyMDTZo0QX5+PkPcITubqd/o7e2NuLjdjHNsWpP379+Hh4cHTp06hXbt2gmS8efq6gobGxt4eHgAYBdB2B5K/W61uSZjYmLg6emJI0eOoFw5YTbXixYtQqlSpeDp6SnIfJ8/f8acOXOwfv16wTJQ169fr/baD5Vkkpen2qBTX3z8+BH+/v6CZu40XkK5EiKXqlc44Yq8vDysXbtW5UfJF8oKBCVLltR7rjNnzmDPnj1ISkqCRCLR6d7oJ4ms52/evIkzZ84gKSmJ9bo+uH79Oh4+fKhxTPI51WaZg1c1VhzTraMFC0hyc3OTYcsW7uSmCWKxGM7OzoiJidE+mIaAKcEq5Oa6rTNmbu2B2NhYOJiOZpJbiySdhZPRpAnWbVjJOMWH3ACg4zJHNGvWDDNmzEDt2rXhNs0VGYcpctMm66YO6enpIAgC//77L44dO8YgjjW01kaLFy8GALx8RWVCqisJePv2LebPn49evXoJQm5fv35Ffn4+Dhw4oNbtR3dNevay1+iaBMii6UmTJgmS/AKQG/asrCwEBgYKJt/34cMHODs747ffftM+mCMyM9X32xQVZatDGfb29sSLFy+0D+SAtWvXIigoSLAsQoIgGAoDQmRPXrhwAS4uLkhMTOTlQszNfY9bt50AAEuXWKFRIwcMGTJEkUbMpzxg+PDhOHr0KBo1aoR79+4pijYB6oFWxftXGJRQ/RHTH3j0nfrkyZMRGBiI+Ph4WGtQJabHgbQ9bFevXo0yZcpgypQpKtfoxMX24KdfT7f6hIU+I3D9OnDsWDrmzctAtWrae+dxhUwm05pNJn9gb558VeVa2e45GOlMfi4xce9w2YdpuU/d4qRXtppyzG32ldswuHoVUKPDqgxlclO2zF6+fAmz3Z8Uryt5tIJRWWb3br6gf89btGiBfv36MVyTrVr+AwsL/tmBQsBh5RUkZVEb+qKUjV0UIRKJHhAEoaII/kNZcPJeZkLgwIEDGDNmjPaBHHHv3j3tg3TAnj17cOzYMfTt25d3fExObgBw8+Z9bN++XUFufCEnIHd3dwa5EbSWJ2zkpgktWrTAwIEDNZKbrpgyZQocHNgV8emkpinzEADKpFRCYNBJdOgA+PuXEZTcAH6p0q7bOivILWBKsAq5uW7rLAi5ua/aCANzc6BzZ4DDBlEbuQFgkFvJFtYFSm4AVMgNQJEhN4IgGOSmqaC7GJrxU8bgIiMjERUVheHDhwsyX0xMDNyOxwAGZHYil75v2hAUFIRLly6hadOmuHTpkkZRZ10xefJkweaytrZGw4YNVTqPp/z9Us0d2uHg4AA7OzvtA3VAmTJl1BIcF0zY1BG7ZpJiwLkhZRAQor10QGiwkS/AJOBzodfx9gjTVdzFswbsq+vXoFNttuT160CnTkCXLmTbnV/ZxcS5kJvyGKshdfRaqzrcvcuU3fL29sbtO10Z54pKjzeAqTV5eGLrIqOB+SPih7LghIDc792zZ0/BgpyjRo3CFwNK6olL3zdtkMcGS5cuja5du2oZzR3W1tbw9fUVfD5lDbncSP2FWBs3boxOnbQr2A9evFLrGK74/U9K/1CZSPLzgVGjDDF7T1vGeXWEIyRWrzyIgCnBai1LZetTmdxct3UWntwAoEYNkuSsrYEo9mJ9fchN6A4BMpkM58+fV7xeunQpJJJM5ORQHSyKErkpt8Fp+4twTY9/Rvx0FpyLiwtu3brFSJHni5QU/kK9ypBKpTA3N8eePXt4ua3y8qhEjjOne2HDhnaMbE++8lw9evQQpHksHVxrbao2aKR9EEeUMGG6xMIi7sOxuQPy8oBhw4DTp4H160vAdXZnBtnIj4W05jYFHIHRE9I9S9eOVAc28hu8qjGsy+n3cMxKScb2qcwkANYYZ9WqQGQkYGZGvs7MBL4V7RYFcgOA5cuXK45dXV0hEokQep2KG3ZwLFwlHzreJjGTyYrjbvzxUxGcVCrF8ePHAQDLli1D+/btUaWK9geINuTV6Q65/RI6z4n3fAC51jVr1qBWLf1233LcuEm5jvr06Y9u3bph2bJlfJengK1t4aT3A4CBAWU1qtMa1AWu2yjyerwjA47bSO/b6dNkGcC3FmGMcXJoS1TRhH9DQvAuiMrmNYJq7LFCfzGG9u4JAHDbrvqeyv8OfXFgwUwkvqMsGhv7+hi+7A/1N8jJ7fZtoF8/4NAhxF9jZuUWFrmb/YMMAAAgAElEQVQpb94qVKjAiLtVqTwUxsaWKCrotDZEcfzQq5v6gcXgjJ+K4OjppKtXrxaE3ADAsDG106pejl+hrhxdunRhzfjjAyHjeEUN64f30zltnQ0d59oidC2pViGX6Hr8GGikZCyydb6WQ0jXpS5kxdeKVHZJ/r5pJ8pWqsztZjs75FWsCJM+/VDifyvw1Y505xYVcvP29lZJKqlXTzhXPV/QXZPVy5WEpbnwyj8/Cr5+/QqJRCJIUuFPRXAZGaSyvbu7u2DtHgoKHh4excHlQkBDuzo4Q7zEkYut0L1pLAKmBGP8xrYAVGvkABrR7ToK3Nesus8F/bztUa0S+8ZLHXHqm/pPhzK5zQk6q9v3r0IFJHVbgwqpc1Hu5GIkD/BGn7dHcNfvKWNYUSG3ohR3q7/kAuN16DzuHdQLG0J4Tuh49+4dpk2bhjNnzggy309FcOnp6WjdurWgSRZfMr8qjp3q8n/AySFUYaUcNlVcVM41b95c0PdgQ4l6/PusfU9kZADnovrgWZwMLe0+A8hA4KxbADRbSK4ThgETqNdRr14iZK1mKbHf1rdGqZKaLf70rEwcnBvOem1KQEfeDSJzszKx5Xfmd0MfSzjeIwwwK40vw9ej/F/zUO7UYhgrka4yuelbyK0JynWy3t7eyMh4zDhXlMjta74UOWKqpOZHKglITU3F1q1bsXDhQkHmu3DhAkaOHImhQ4cKonkJ/GQEZ2BggKCgIEF1F1uuoopt944Ttt06X2RkUrtne3sy45DeLbh///4q9wiN0l0KtpP6BP9d2DV9gvaBHJCaSuoKR0QAR/8yQLbkDbJCKDdJwJRgDPVrigpltZN2A7vaaLCttt5r4eLm5EtuylYbwIPcvoEwLQWpSyyunzaC1LwO6xiAJDehPRQSiQRBQUGK14sWLQJBEAi/T7Wgcer4lO3WQoO9F2W9/TNd+M9Ejry8PNy9excdOnQQZL7w8HAMHToUs2bN4j2XTCbDypUr4e3tDYIgMGzYMAFWSOKnIrgGDYTtBFzUER6uKtlz6NCh77oG48rCFeezoUzFSorjdcP66h2HS0sDunYFnjwB/v4bINWO+kM65Fu362/4y4PsaFzCMR2/j2Tv3aUPUtLTcWTBA41j5BakPMmED5TJbcTKdahcW7OQLxuUiWvQxal4FJWLpg3sceT4GSA+HvGb3zLG2PgUzINc3lcMAMaPHw9jY2OGa7JhQ38YGpoJ/r76QrkkoKFNGQDfCr2TklBBS6NZroiJiYGLiwvj89EXBEHA398fc+fOhVQqFYSMXrx4gRs3boAgCFSqVImhHcoXPxXBFQOIjY39ru+naw+vwkKpUkCDBsCKFQC9g4ehoSFct3WGn2cQLFKpusmvYWUQEKZ/5qTv0oMo/Vl7ktNEf0eG6DNfvI96jL+WM11K+m4K2OJp2mJuNj7tIdKiqagP6HG3unXrolq1aipxN+uKBeP+0ycO1XT5JcZreUnA58+fMXHiRKxdu5Y3wREEgf3798PV1RVlypQRJMls//79WLJkCfLz89GtWzdUqlRJ+01aYG1tjaioKLi4uKB8+fK8PRN0FBMcDxy7T8VYwub/OIHh/xq6T56BS9v/BADki/NgbMJd5unTJ7IzQOXKwP796sd5+JKqN+vXHYHpS9U0fl0zJ0trqG8bt+lXlDQV3tIQyiUJ6FfnZlP5IUQGBZ9U4uLi8l2SSrKysuDj4wMPDw+dBJjTc/KRlkO1eJF3CTh58iQmTZqERo0aoU4dfmou+fn5mDRpEvbu3QsAcHNzE4Q42rVrB5lMhho1agjSMoggCEycOBG1a9fGgQMH1PbE0xc/nZKJkJj3NxW8rmqlvyL/fxlEvnDdGtShUWdqZ/rn6EGc70tIIPt4DhhAkhwXzHF3UVEQ4YvW0ysq5nTd1llwckv9mKBCbpO37deL3NKSc/Ujt5gNEM2aCaxdq/N7agLXjEmJRIIzZ84I1tLq0qVLaNiwITIyMnTuLtCEZr2dnNYWmZkZGDt2LJydnZGUlIRJkybxXp+xsTFGjx4NAwMDiEQiQdT7xWIxhg8fjgEDBuCff/7BwIH8XfSBgYEIDg7G/v37YWhoCCsrYZPSii24nwB1ansV2nt/fZMGs7rsX9p4QwK2UuHdVTKZlFEEzoa4OFIrODERCAwE9AkJKZOcRCLFmcvX8PG06r4xo8JHjJ7eGbYVOdaVCQQhrbaL6++iQSKVpJQDAnX8VJMWWAkwvw0wahRw6BDg5gaUYC+7kCMhIUGrQg5Xcrtx4wbc3NwwYcIE3rG/1NRUzJkzR2EZzZgxQ6f7leNuzapZIjk5WbGu8uXLC0IcX758wZgxY+Dl5QVLS0vUq8dfSNrT0xPp6enYsmULLL4p1vBBTEwMZsyYgcDAQFSrVjDJaMUEpyeKepshmYxSI69adazKdScnp++yjtRjMTBb3Ib1Wr05Dshcozmxgivcj/6jeJhvcBmg8SH+5g1JbmlpwOXLQOvWgiwBRkaGcO7VFeglzHx8cM5/LZ7fCGGcG7FqHSrb6Z5IApCkRU/R+tynGlo4VgfAjEGpte6MjUlyy8wkyU0iAQwNVXYW4eHhWLRoEebMmaOR4NjI7flzZlPOevZhGD16NA4ePAhra2v8/vvvOvyL2REeHq7op9i7d2+dXInK5CaPu8XGxiIoKAjLli1DTk4OTE35dVKQSqUYOXIk6tWrBy8vL0Fck+fOncPmzZtx69YtQcgtPz8fI0eOxODBgwXNmlRGsYtST9x+naw4vrewSyGuhB2JiRc1Xu/YseN3WYcsS307+TLlKLfu6yj25qf64kaQ+oCaqyv5nA0OFo7cigoIgsC6YX1VyM396D+8yI2OCt6/ooVjdYSHh2PixIl4+fIl6zgV16WREWBpCYjFwP/+ByxcqPANP336FAMHDkSrVmSpTY8e6jtysJFbSspNfPj4l+Jc218fwcfHBwcPHgQAzJ07F2Zm/F2/CQkJSE5ORrt27XRKkQ+6F8d4LSe3pKQkDBw4EK6urliyZAmWLl3Ke40rV65EVFQUDh06JAi5ffjwAb/99htWr16NFi1a8J4PIP9mycnJ8Pf3F2Q+dSi24PTEiF1UC46KpTW7WwoDUc9mq5yjd0QvaioppgeiAT9+3R3oVtzdk3+h/XD2fn9795KuSWX5rR8dbO7IGfv/BiEyQGhoKB48eIApU6bo1MFdmbTKe7fE0b8OIyAgAPfu3cOyZctQp04d3RRKjIxIoWY/PyAvD5FjxsB50CC8efMGIpEIa9asUfv9/OMPpi7m0qVLkSdOwsNH1N+6ffu7MDIsiaSkJFSvXh1ZWVmCyN6FhoZi6tSpOHz4MJo1a4YaNWpwuk8qI+Bx4oni9dNlJHlLJBIMGzYMdnZ28PPzAwDeJHz58mX4+Pjg6tWrgnRLkUqlGDVqFNq0aYOZM2fyng8Arl+/jjVr1iA0NFSQ7uiavGnFBPcTIS4uTvugHxzjNmzDntnkw4xeF/fkCeDvT4omW1uT//GFVCoVNKU5PT0dFy9ehFgshpWVFXr16sVpI8JGbCXMS2HyjoNwd3fH7t27kZ+fjytXrnAmt2vHnqH2g2TGORvf9ggICMCsWbMglUrRrFkzeMxboLv8loEBsGULYGICbNiAqp8+ITc7GxYWFhg8eDCaNGnCetvff/+NnJwcxWsvLy8QhAQ3blBmeIsWf8HEuBzc3NwQFhaGW7du4eXLl7x1DV++fAlnZ2d4e3vD2dlZp3t/WUj1d5vVtTZKmZKP3QULFuD169e4f/++IModCQkJGDlyJFauXIn27YVRifH19UV0dDQiIyMF2RSnpaVh1KhRWLRoEX5V00NQV+zcuVPttR/KRfn161ftgzgiJSUFO3fuhEQi0T6YI65evSpoZ2+CILBt2zbBUmdDQ6mC5S9f9O/XRkdiYiIuX76Ma9euCRaXzMvLw4EDB/D27Vvtg5VgVYXZ3WDdsL54+BDo2FGKv/7KwsePgiwRACnYPWzYMDx69EiQ+UxNTTFlyhScOHECLVu21PpAWTesr9okEtfAIBgZGcHW1hYymQwHDx7kXEAb7xHGILdEAwK2fo4QiUQYPnw46tatC2NjYxxZsgOJy5jfd87akiIRsHEjMHcurI4cwb5KlXDw4EGsWLGCdXhoaCiePqVq7Dw9PWFgYIBrIfaKc7VrL0bZMi2QmZmJqKgoXLp0CdWrVxekn2JERAQGDRqEBQsW6HSfctxtVlcyZicWixETE4OTJ0+ifHlher5FR0ejR48emDt3riDzEQSBmJgYHDp0SLA1vn37Fq1atcKiRYsEmQ8AXr9WXwIiKurJEnTY2dkRr169EmSuEydOYMaMGXj//r3OO5Ov+VKFxM7/mlbBxuHNAAA9e/aEo6OjIH+8z58/IyMjA3Xq1EFiYqLORZ/0bDJ5DRA9dvHlyxcEBATwXmdwcDC6dOmChg0b4skTyg1D39VreuhJJDJ8WnwTAJA0oAaa/loV4eHhaNu2La5evaq3tJDyg39d2AnY27tiyxZ32Nvbq7lLN0RHR8PAwAA1a9YUTDsvMjISjRs31vidlF9bO5TZL0ydQPLly5fRrRu39ivK1lip+Q4oa8V0m8lkMnxYeJNxrnTXaijdtTqn92CAIIBVq0D06gWRmvjO/fv38c8/VNLQ/PnzUbJkScZ33MqyHZo1o+KuQosA6wN1SSXFEB4ikegBQRAOyud/KAtOCH+tHKGhoXByctLrRzDjyEPF8cbhzSCRSEjNu/BwtGzZUpD1paamonXr1jAwMMCsWbOQm5sryLxyjBo1SpB5nJycUKtWLbRWytaoOKMZp/uNjKivYPnT7wAALVu2xPLlyxnuKF2hnEXp7uiM4OCdgrVIAkjFjNq1awtGbgDQpEkTtd9JdRbbzAMn4H70H7X3cSG3kL+iWF2NyuQGQIXcKi9urR+5AaQlt3gxRW7Hj5MZlt/w6NEjBrm5u7urkBsABrmR0xYuuY3bw7Rsi8mtcPBDERzfliB0hISE6J1JeOnZZ8bruLg4ODs7IyUlBdnZ2Yy+c/qiVq1aSE9Ph0wmQ82aNQXJAKOjTRv21H1dYWBggPHjx6vMZ1KFinmIP2Yr36YV8+fPR/369Xmtrf0cJsmtG9ZX0E3S94I6Yptx4Djcj/4DI56dJ+I9wmAXwexKr87qZhNNNiwlUOeLO3eAwYMBFxcgPx8RERE4deqU4vL06dNhYWFRpFvfAEB8ag6uRVMhgOiVPQtxNT83fiiCEwLv3r3D0aNH8eTJE8FqwaytrRU/RH9/f0Ea9ZmYmKBGjRooUaKEzsWkXCDkDnfs2LFo27at2uuJmyI03l9mAeVZuLLmDgBSA1Lf4k95Lk3r1sCcIFWSu7Blg17zfk9c3PanWmKTQxdJMjZkpn9VISyzOc1ZyU2SpjpWHpcTDG3aAOvXA3//jVtKPcGmTZuGcuXKFXlyA4D2q68pjk9MawtTI+ESkYqhG366LEp5oBwg9dlOnjypU9o0G8zNzWFubo7s7Gz4+fkJ9qOvU6cOevbsKUi6b0HCxsZGq+qEJlhYmkGeRmOfrL5ujgsuXAAGDgS2bQN++430gNHLBwAgKvQqokKvYvbh0zAQMAuSL3LS07B1knrXsdztOvcv/t8vZbICuFttmsbyxuzZ+DcvD+G0hLLp06f/MORGj7u1rGGJ5tUsC3E1xfihCE6IhBi6dTVu3DidyU0ipbQVbcpSbsOKFSuiRYsWikJVIVC/fn24ubkJNl9RRrqIQBmCfHAnvEuDTY2yOs9x9izp4apfH+ijFPJwP/oPMpISsdN1vOLchhFkO6GZB07wdvPpiy+xb7F//nS119sPH4PWA4cK9n65OWIkL7/LOPeiYVl0HcVeFKhSBzehIUrYFdxDe/v27fhII7fZzZqhzA9IbgBwbIp6r0YxtEOIRKEfiuCEsIzkMjMdO3bUSyLm0F2qluzGAqqDgK2tLVatWsV7fXTMmjULVatWFXTO7wmble2Q8C1DMvdFCszs1QupNvDtoHiYEtueADpaCMePA8OHA82aARcvkoIZyihdvqKKNQcAm0ZTdU366jRyBUEQWD+8n9ZxBbEOdZaYLctYQiJT/O3kKIgmpXQoK5TMHTQIpRo1IsmNIBSyXj8CuRUnlfDD1atXIRaL0asXP927H4rghICJiQnMzMzw559/6vVjXXomSnFMv3/hwoW8W1wo40cmNwAQ0TIkk/dG6eTWunk2Bu36cfs8374lya1lS+D8eaBMGc3j5eTBFt+in3McMRatBgzmvGY2BIwfjq/ZWZzGqkvz54tHt+NR/jSzpjCqSgn0mMGe8ftdXZLfoExuCxYsgJmZGa4G/wKr+zmofjQdj72t4dRP99rIgsbPTm7R0dEwNzeHrS3bVkk3iMViLF68GFu3bkVCQgLv+X46ggPIH0/jxo0FnbNnz+JMKb6w9XNUPFyr3/wMcCS4mjWBoCCge3dAFx1YOdFFXj6HK7u2qFwPO7wXYYf3cp9QR9i1bIMBcxcX2PwASVbKJbrqrDb5eDpKOdqgbJ9aBbI2OZTJzcvLCwYGBgq3pGGODGUjc+G0siLQPpXdPC8keJ1iNnh97VMwTVWFQlpaGiwsLARR4JHJZAgICMCOHTsQGRnJe74XL15gxIgRePjwIcaOHStIxvNPSXAeHh6FvYSfBpUWtMSn1eEAgPQL71CmZw2N46OqmqHBe7LmL94jTKPlEBgI1KoFODkBg7i3gVNBk2690aQb+WBKePEMQUvn6z+ZBrQbNhptnAtOOZ0ONissdWBNNGrNTm25L1KQvDeKca6gum/ToUxupNiwDMHX7BTnvnQoBYPjO4AhQ4AuXcgWEOXKFei6uCDmcyYO3IlVvH6wuCsMBfy8hC5WP336NI4dO6YQoOaD9+/fY9y4cbh69SpWr17Nu4QrJSUF8+fPx8OHZI2xEJ0fgJ+U4Pi2o/hR0axZM8UX6HvByJISos4Mea+V4Hq4OjAezi+jElG7gWoW6datwLRpJLEJ2fnHxr6+SvzrQ8xzHPGax3mO/833Qq3mrQql2Pjq/seo+0xV2k0Xq00+vqDB1hUgPz8D18OYIgGKmNvp02SKbKdOwPXrQFndE5GEQr5Uhu4brite7x/fCuVKCfdciYiIwO3bt+Hq6sp7ri9fvmDGjBkICgpi1BXqi7t376JPnz5ITk6GsbExxo0bx3tOS0tLmJmZoU6dOjAwMEC7du14zwn8pAT3s6Jly5bfneCUQeRLITLW7B6ptLKdQr7LjKXLwKZNwKxZQL9+ZIuxgkaVOvUKPPmEL1KTc5C95gGUG+JU8Wmndnedn5iDz+uZ/fisZzeHsbV5Aa2SAhu5ZWQ8Rvh9qtmnmVk1tP2VqilDr17AP/+QRFfIBfu1F51XHHevawmz9HcAdJPTY0NGRga8vLwQEBAgiNvv6NGjcHNzQ1JSEmrWrIm+fdXXVXJFs2bNUK9ePYSHh8PZ2VlnGUE2bNq0CVeuXMGDBw8YDWD5opjgdEDmV6pG64ybMDuM7wlrIST09QA9tpbgdUurdWBkZIAXNmawT1B1Va5ZA8yfDzg7A0eOkIL0PzPYdCEBIMOlNuo3qaT2vsKy2giCwLJlyxjnvL298fr1WryL3ao4V73aJNjZsQgbd+1K/geQ2UXGxoAOyQ15eXnIycmBJY84nnJSydmFg+BD02HVBwRBKPRxP3z4gL59+6JBgwbab9SC+vXrK0Tq3dzcBIm9zZ49Gx8/fsSVK1cgk8m036AFN27cwIIFC3D69GnUqFGDcxsiLigmOB1wJvKD4rixbeG5R/QF/csdERGB5s2bF8o6ZGIpDEw0/9C6Tme6KuM9wmDj64gnT4Bhw4ADB8hn288MNpKKLilClyXqW6XkPEpESlA041y5sQ00lnAIhbS0NGzcuJFxztvbW6XGrXGjbahQgdTPVBuHksnIpqlZWWTn2uqatTAlEgn279+Pffv24eJFzc2ANUGZ3GJX94Wnpydvtf2srCzcuXMHHz6Qz5j58/nHgSUSCdzd3dGkSRPUqVMH48eP136TFuzevRv79u3DnTt30LBhQ97zffr0CUOHDsXChQsLJFGvmOB0wKKTT7UP+kFw5syZ70pwNr7tkeB5AwDwYYl2Kw6gLD+CADLyDAHPMAQGkvcJqG/8Q0EqUb9j1hRnAwrPagOAkydPqrjc2Mit7a/XYWpaGefOnUNISAh8fX3ZrQ4DA2DHDqBHD6BjR5Lkaqlme8pkMhw7dgxLlixRtH4pUUK/BsVs5FaqVCnMmTNHr/noyMvLw+nTp9GnTx+kpaUJ0s9t5syZePnyJe7duwcLCwu9/91y3LlzB66urjh8+LAg5CZv+Nq0aVN4eXnxno8NP+ljohjfG8q78LRzb1G2d02t99n4OmJam/c4H1MeZ8c8AhZrzqz8r+Lzx0zkb2LvO6ft82Ajtoozm8OkMv9YG0EQePToEeLj49GvH3sBu3K8rWfPnmjTpg0LuT3CkSPHsG7dOrx48QLh4eGaXWqtW5PE1q0bRXK1azPWtnbtWixatAgSiQQODg4KmT5doUxuKVtcUKtWLQwbNoy39ZaTk4P+/fujWrVqOHHiBD5+/Mg7BrV582YcOHAAt2/fFiRG9vHjRzg7O2PevHk6N3xVB09PT8TGxiIiIkJQIX06igmuGN8N9Fhc1vV4rQRHEMDs2cC2e1UxptkHlClBtlGJ9whDpZXtGK12/qu44nsb9unsTXm1EVt+Ui4+r72ven6yLW9yi4+Px6FDh3DgwAEkJiaqTYhQUSeZOxelSpVSIbdGDW+ja9eeuHXrFgCyLQ4nD0Pz5sC1a2T5wLx5AC1LUCQSwczMDEZGRiAIAuvWrdPrQapMblm7foOrqyuGDx/Ou7hZKpVi5MiRyM7Oxvnz52FiYoLqWtyt2nDx4kW4u7vj1KlTgsTx8vLyMGjQILRo0UIlfqovjh8/js2bN+PGjRuwsio493gxwf1nIQJQ9JrZlh1oh7STZNNaTXVuMhng5kaWA8yaBaxfXwUJnpRE06fFN5FgBLRe+d+05uQbAX1bs7JZbT1OT4GZuRmCFwbzWBlw6tQpjBgxQtGj8OLFi6hcubLKOLYaN5FIxKormZaWBlNTU4hEIlSrVk23B2njxkBYGFCJmVSzdu1aLFmyBKdPn0Z0dLRezXOVyU28fyKGDRsGHx8f3lYWQRCYMWMG7t+/jzt37qCMNgkeDnj27BmGDh2KP/74g7fMlXyNbm5uSElJwfnz5wWxtKKjozFu3Dj4+/ujhZomt0KhmOD+o2jd6hzu3lP9gvfs2RMXLlwohBWRKNW6soLgAODDyjuosli1N52vL4GtW0WYPx/w8yNlCOkWIADYSLQXg9ORkZEhaD+4O3fu4OvXr2jevLkg855dHYZmqezX3rSugA4Dv9HdavVzsBGbb8h2bLl7CPb29jh//jyvtRIEgU+fPimEzz09PdG9e3fGmIyMDKxfv55xztvbGzk5sbh9pzPjfJfOrxEbG4s+ffqgbNmy2L9/P6ysrGBurqOFKe/S/vUrMHYsdpUrB+99+/Dvv/+iU6dOKmvkAmVyw7GZ6Nq1K/z9/QVJY//jjz9w6NAh3Lx5k1c3DjmSkpLQr18/uLi4CNZia/v27Th69Cju3bsnCAFnZWXB2dkZQ4YMwYQJEwRYIXDs2DG1134oH89Xmso4X2RnZ2P//v0Qi8WCzXn//n3cvKmass0HQUFBSExM1Pk+c3MqFhGfcBgAGXCnuz9u377Nf4EAwsPDsXq1hqeuEmx8qQC6LCsfkhTVv6tUuhUTJz5SkJsctn6OkPzObIQa7xHG+mCn48OHD3BwcMDBgwcF6UoBkIk6nTp1Qs2aNbF161ZIpVKd54h9laxYPxu5lV/WBrZ+jhS5qYG6z2Az/kVg5HFUq1YNly5d4h2PSUlJwYYNG3D48GGMHDkSy5cvZ1xfsWIFK7ndCx/ASm4AcOLECdSvXx9XrlyBi4sLevfmIXeVmAjZrVsYun07bmzYgE6dOmm/hwV1aHVuALCicRYcmjVFYGCgIFaMRCLBlStXBHMjAkBkZCQaNGggGAETBIGQkBAcOkRujoTAq1evYGtri82bNwsyH0BuNNVBJNSP/XugevXqRGxsrPaBHBAZGYnmzZsjLy8PRhxT8ug7OjZB1VmzZiEzMxO7d+/mvT6JRAI/Pz+sXr0a/fr1w7Rp03TOrKK7grp0fo2kpCS0a9cOLi4uivPKbiRdkZycjA4dOuDZs2fIzMzk3OxVkvIVn/4IV7y28WkPqUyEP/8EXFxS4OzcB0lJSYiKioKJmmI3daTGZtElJCTA19cXYrEYAwYMQB/lfjp64N69e3j+/DmGDBmiU9ulJ3cTYHnyjdrrb4xk6LBSfbd5+cOLIAi1n4Fc+V8sFmPDhg0YOHCgYGLgEokERkZGEIvFjL+N8nepW7duaNeunYpLsl691ahSmRKxJggCBEEIl2gQGwuiUyeIkpNJ9W0NzXjZ4LzlJiLi0hSvHy3phrIlTQSXzhJ6voKYsyDWWBAQiUQPCIJwUD7/Q7kozczMtA/iiPfv38PGxoYzuWnDpUuXkJSUBAsLCzx8+BDNmjXTfpMGGBkZ4fnz58jKykJQUBC2bt2q/SYtKF++PEaPHg2JhD1pQR+UK1cO+/btg5OTE169eoWmTZtyus/IqgRM61giL4Y0WxIW3sCsV444fhyoUcMKN2/exNGjR3H16lW1sQRbP0dkZ+YhddU9xnn5Q180tRFsqpP1ijY2NoLuGgGgVatWnPv/0YlIXYmxXHWEa9oCG7lVWd6WUWNoYmKCefPmCZqlJv/NaCK3RYsWwdjYWIXcOjhGwNiY6eoSiUTCPkSrV4fo+nWgc2dSgfv8ecCRmxt7VtBDBrnd8uiMsiVNFOsUEgVBHD/CGr8nfiiC41vHIceHDx8QFxcnaDuau3fv4tA33YYjC4IAACAASURBVKimTZvyJjgAGDVqFA4fPoymTZsK4v8GSBWCNWvWCDKXHA4ODjh27BjevXvHmeAAoML4hoyH9Ea7MLRf3x7OziIABgxLUx3MLUxh7ueIzx8ykf8nM42e2PoE8d+Ok/tVR5N21TivjQ+kEhk+LubmqtY1G1SdxVZ5UWsYWrBbugWVgg2QnpCTJ08yznl7e4MgZCrk1rnTq+/3wLS1BUJDSVUAjqoly88+w6lHlJjDhVmOqFJWuE11Mb4/CoXgRCLRGgD9AIgBvAYwjiCINM13QTBrKygoCH5+fjAzM4Onpyd8fX213kN35ba3U617cfqm+GtkZITBg/n1EJOjW7duqFChgl7ZXwBQpnQzpGcwtSfNzc1RsWJFRVzv+PHjGMRHiv8bevXqpciq0wXlljoieRn10B78+Qakmeof1upgXcUC8HOERCJT6Fgy3udsLOLPMt3b1svbwliLooo2XN7yAPXicnS6R586PnXEVmmeA4zKFc5DmM297e3tjdjYHXj1mhmTLZQmpZUrkyQnEpE1JzExQF1ltU4Say9GI/Am1Wvu8MTWsK9UuHqXxeCPwrLgLgPwJAhCIhKJVgPwBMAiPMdEerqqSro+aNy4Mb58+QIA6NGjB6d7xFJKQWKIg6oTqVWrVjAzM0Pnzp1RTqBWHkZGRnBxcdGb4Jo3P4RrIWRCRuTjSWjSeAcAYOLEiYru40+ePBGE4AD9XMjv3gHtdzoiciL1AP+46i5K1C+H8mPqq79RDYyMDBQE8jo6GaZ7nqkd+3nJLZ3nV0Y9DmMqLG0DUzPddcUIglCov7ChMAvelclt4sSJsLGxUbHaRCJjdO704juuTAlyi3HbNrLe5O+/SZVuGtZfisbma1Rm784xDmj7C7/i7WIUDRQKwREEcYn28g4ATiZPXl6eIO8vb3basGFDdOyoPphPx1cxRXAONVQLE01NTdG2bVuMGDFCkDXKMXr0aL0LPw0MqPYdSUlXFcfGRUDEUSwmhZLr1QNevwbKlnXEl11PkPeKNOS/PkvWqQSADb/ULQd8u18mk+HalgjUjdfdytQFKYNqoXFLfinfWfc+Iu3EK9ZrNivaaiwTKGiEhYXh6tWrjHPq6ttatzqHUqXYLabvjuHDgT17SJXuo0fJ/wPwO/8C20Ip63LXGAd0rV84ouTFYIIgCISFhem9wQeKRgxuPICj6i6KRKJJACYBECxmVrFiRVhbW2PGjBmcYwI5+VRiRqXS7LHAvn37on///oKsUQ4HB5XEIEEwadIk7NhBWnTnz58XpCiUK9LTyc4n/foBnp5UW68KExpB/D4TiQFULC3eI0wQWSkDAwN0cVP9LMViCcL+fYW6d79wmidLRCBv0C9o2KwyDA1VY1t8dC00lTrIsyILE+pckjk5b3H7TlfG+e8ab+MCS0uyUWqvXsDQocDBg/A0aYAj9+IUQ/aOawmnuqq9B4vBDampqby6NNCRkJCAyZMnw9HRsWgSnEgkugKArV/HIoIgTn8bswiABIDarl4EQewAsAMAHBwcBKtpcHJywsiRIzmP/5pPWXDquvZOnTq1yDVTrVChB758IdXTCUIKkYiMOVWpUkUx5u7du9+N4FJTSX3chw8Bd3fV6yZVLRjCzACQuCkCQMG45ExMjNBloD2gpc6soKCJ1IwrmcN6VuF0fKBDLBbDx8eHcW7atGmoWLGiitUGFFK8jQvKlAEuXgT69oVk1GiETNoJlCbrAg9PaI22LLH1/yqETP/PzMyEl5cXfv31Vwwbxq9jPUEQCAwMxJw5cyAWi7Fv3z5e8xUYwREE0VXTdZFINBZAXwBdiEIoxvPz89OpdknKoe9RUSM3AGjUMADB1+wAAMHX6hTqwycpiczajooCTpxQCYUoIBKJYOvniE9rwiFJporA5WTwo4stJ3jdBJGv/vtUZemvMDArCs4V9VYbABVyq223CNWq8W/JUqCwsECXLvNhY/0AH7+R299TfmUNO/wXIZVKsX37djg6OqJRo0a85zt79qyi6zjf7GypVIrZs2fD398fAPD777/zzmcoFCUTkUjUE8B8AP0JgtAtBU0g6NpULytPd5WKogBNuzRPT0/FMd+Cb23Izyf7VD5/TjZkVkdudFSa15KheiKHXLWDkP44IgXyNcd7hLGSW5neNcl2N36ORYLcCIJQ+U5UrFgR3t7eSE4OVSG3/7N3nmFRXV8XX0MdighYwYqKYv+roLELKhYUYuwxtthDYu8VBXuwIvYaVOwFBbGAGJooYMGKigooAgoiddp+P/AyocPMuUaH3N/z8IFbFocpZ91T9t7WPZ5+/+aG3GQNLzOBWw1ycyAGWHyB5Z0bZdz17QgICEBGRgYnWiEhIbCysuKk3E1iYiKGDh0Ke3t7xMbGYubMmcxr++rq6rC1tYWWlhY0NDTwxx9/MOkB324Nzg2ANoBr/98BhxLR1G/UlnIhyzfIFEtl0Cxm/UUVkMlEUFPL3YL/b444NTVzN7HVqZOb+L285I3mZDlSvFtRcNdj/JJ/pjG/t1FdyrloZNxOKPUadSNtmCwoX6D4v0lxDztLly6FhoaGak1JFqJwbsnrs7uh3rb1xc+VK0FycjJz6Zw8nj9/jnnz5qFSpUrl3ghXEklJSVi4cCEOHDgAAPD29maenqxatap8kGBgYMBJXsmoqCiMHDkSW7ZsgYaGBlq3bs2sqVKpuiwtLenu3aLlP/4Nkr7kwGr1dQDA3/OtUce4/NOb3xoiGfz8/8lNmb9DunfvHs7nKzHytUdyrJBYhvhlpQdRmzp1hJrw33t2IykVMNvS0G1XA8ZD2VJm5U/VxSVEVGwWfycnJ8hkYvjfLLhO2brVXlStalPk+u+RwuYWstAGJhwFcScmJmLt2rUwMDBgLifz6dMnrFq1Cjt27AAR4cmTJzDPV+NOGR4+fIiRI0fi0aNHaNOmDcLDw5kN7urVqxg4cCA2bdqE2NhYrFu3jkkvMTERHTp0wIABA+RTlIpQIVJ1fUv0tf95qSLepqiUwQkEJY82//e//xUwuO8dgeY/cW7vN9yBtJhEze+ciiaRLi3TR3mRZUuK1S4Lk8XtoW7w/a3P5qe4B5tFixZBW1u72FHbd7dLshQKm9sftd4ixM+HuXBnamoq/vzzT2zZsgVCoRAvX7KNZIkIBw8ehJubG6RSKX799VdmcwOAoKAgvHr1Cn369MHEiROZ37cHDx5gyJAh2LhxIxwdHZnDt3JycvDTTz+hcePG2Lx5M5NWYXiDKyda+dIpnbobB4f/sZe3+Ddp1GghXrzIfcoKDumJTh3/WXewsrLCnTu5iY+dnJy++1FcHibzrQDkdgwfNoVDklRyjNv71bf/rWah5nwraBhzk1buayMWi+VB//kpaSOJQKAOG+vn/0bTcmMX/f1Rr149NGrUSCmNwuaWeXgSDlerivDwcKa2JSUlYfDgwfj779yNT+vWreMknV5MTAyqVq2K7OxsLFu2jFnv9OnTmDFjBs6ePYvWrVsXW7dPEeLj49G/f3/8+uuv8pI8LEsdRITJkycjOTkZly5d4ixbVR68wZWT/KEBgS+Sv2FLlKNe3Ulyg8vKel3gnJ2dndzgVBGBQICac/6ZnSApIWnPA4jepH31v119ehtomZavgsL3RnEPMiUlSQaAHt0fQ1295M7s/fv3MDQ0ZE6K/vHjRxw6dAi7d++Gubk5Ll26pJROYXN7s8EeIBnOnT7FvCFCV1cXGhoaEAqFqFu3LqZMmcKkR0SYP38+PD09ERAQgISEBIU3whXG398fv/zyC/bu3ctJ9YwvX77Azs4OVlZWcHV1ZdYDcndeenl5ISwsDIZ5AbEcwhvcf5T378/AxOSfFF0DBgyQdySqNIorDoG6ANWnFV2gJhlB/D4Dn048hSSxfBlNDHrXg35n0391Te9rExQUhGvXrhU5XtKoDSh5I0lsbCzOnj2LM2fOoGnTpti1a5fS7ZJKpVi0aBG2bduGnJwcGBsbIyAgQKkptcLmJvGYApAMv/76Kzp37qx0G4Hcgq52dnbIzMxEQEAA3r9/z2yYK1euxN69e+Hv74/mzZsz14iLjIyEg4MDXFxcMGbMGCYtIHekP2zYMGhpaeHo0aNQV2fL4Qrk1lNctmwZrly5ovQIvSwqzreWp0xsrF/IY+IeP5lfwOAsLS0LPCm/f/+eeTrje0OgJoBWLX3UnP11ssN8z4hEIkRGRsLHx6fIueXLl0NNTa1YY+va5Q60tIrGiL169Qpjx45FYGDu5pr27dtj69atTOs76urqqFevnnxNZ+fOnUp9BgubW9qe0Rg6dCiEQiHztF9qair69esHIsKNGzdgaGjIvNlnw4YNcHV1xbVr1zipQvLy5Uv069cPU6ZMwdy5c5n1iAiOjo549uwZQkJCFIofLokHDx7g559/xvbt25UuSlseeIP7D1G484mOXgNz88Xy3xcsWCCvzL17926VHsWpIllZWXj8+DE+fPhQ4GfYsGHo2LGj0rp79uzBu3fvihwfNWoUzM3NIZOJccOv6GaG0rb/a2try42oevXqOHPmDFM5K5FIhJkzZ+Kvv/7Cxo0bERERgWHDhimkIZHK0KhQJe7EbUOxcOFCLFu2DGKxuMTiueXh06dPsLW1hVAohLe3NwwMcqsNsJi6m5sbnJyc4OPjgx9++EFpnTwSEhJga2sLW1tb+XeZlQ0bNuDUqVMICQlBjRrseTo/fPiAgQMHYuLEiZg8eTIHLSwZ3uD+Y+Qfxb2N3V/A4AqvnSgyVZmdnc1ZvT4gdx1GS0sLlSpV4kSPiLBnzx7Y29tzNjLdtGkTLl26BFNTU5iYmMDU1BQjR45EzZrFZagrG01NTSxfvhze3t4Act+PvXv3Mpnbxo0biw0ULm06snu3e9DQKPl1P3HiBKZNm4YuXbrA1tYWixcvRu3aymfh/PDhA4YMGYKEhASEhoaiWbNmClcOeZGYjl6bAgoce7/5J+zYsUMeo8VibklJSejduzeMjIzg5eVV7sr1pbF//37MnTsXFy5cYI51A3KrrfTr1w8WFhbYv38/J3UAPT09sWLFCvj6+sLCgj2dXXZ2NgYNGoRmzZrhzz//ZNYDAF9f3xLPqVS0sjL1xkpCJBLhxIkTyMzkLpHK8+fP4efnx5kekBuU6e/vz9kmkML/b+EOrrChHTt2rEzNBw8ewMHBAfHx8czty2PTpk3o0qULYmNjOdGLi4vDggULUKdOHQwcOBDnzp2DWCxm0nz9+jX8/f1x9OhRREREoFOnTkqbG5Br6jdu3ICamhrq1auHoKAghfKl5ic+Ph5OTk5FzG3p0qVwcnJCYuKVEtfaSjO3lJQUzJ8/Hxs2bMCFCxdw6NAh5s756NGj0NfXR1hYGJo3bw6BQKDQhoN1Pk+LmFtln8U4ffo0JwHIAHD9+nXUqFEDly9f5sTcpFIpDh8+jBMnTpS7ZFdZ3L17F5UrV8bJkyc5qRhCRDh9+jQOHDjAiQEDwNOnTyEQCODp6cnZjsm8B8LiUKlAb1NTUypuqkUZ0tPTUalSJbx69QpmZmbluif/3P7rdUV3Je3atQuHDx/GmTNnCiQzVgYiwrJly7Bz506kpKTg1KlTzHXbZDIZ5s6di82bN+P6jQby4zbW0QVi5Qon182LhyoOqVSKcePGwcPDA+PHj5dnS2BBLBbD3t4eV69eRY0aNeDl5YV27doxaaakpGDAgAFo2rQpfvjhB/zwww9o2rQp02L548ePMX78eKxZswY9FUnPUgqpqamYMGECdu/eXWJWjNICvaVSKZydnYscHz16NOrWrVviDkkb6+fyRNxlIRKJmEZDhZHJZCAipd6Lwuttts1qYM8YS0ilUk42QuRHJpNxWh2daz2A2yTKX0Pva2gSEdTU1IoN9FYpg6tduzbFxcVxoiWVSqGhoYGoqKhy71gqzeBCQ0Ph5OSEW7duoUWLFggLC2NuY2hoKDp37gyZTIZTp05xUin87du3sLa2Ro0aH+Ds8s98euH1lsJ1v0qbqszKysKOHTuwYcMGXLt2jZMUO0Cu0cXFxSEpKQlWVlbfXWBxdnY2tLW1OW9XWZ1zSQZX3HvUsmVL+YNRccbWpPEq1K6t3CjxW1PY3NxHtUX/lhVrYxRP+Sgpk4lKTVFy9bSTk5OD9evXQ0NDA5s3b0ZERES57qtXpeTdQ1ZWVoiJiUFWVhaqV+emptQPP/yA2bNnc6KVR926dXHr1i18/FgwUL1w59e1a8HcjqUZnI6ODubOnYsXL14gNTWVs7ZqamrCzMwM7du3/+7MDQCEQuFXaZeiI4+S1kqdnJwwePBgPH26tMTpyIpibqGLevLmxlMElTI4IsLTp0+ZdbS1tREUFASJRAIPDw80bdq0XPftHv3PNNn5yILrTerq6pg/fz4AoHFjtlyD+Vm1ahUaN27Mad7BWrVq4ebNm8hILxismSMqGMBeuNMsa8OJgYEBZ3P1PGVTmrE5OTkhR5SMG34NEf/ueIHzPbo/VpkEycVR2NxeremPmpVVI3MMz7+LShlcXFwcEhMTOdEaOXIkAKBjx47lzrzQuPo/i+8zT9wrcv6XX36BqakpJ/nj8tDR0cHBgwc5n6s3MTGBvf2PaNnSXX4sMLBDkesUNTmeb8eKFSvg5OSUG6Pl17DI+9m69X70tHlZajaS75kPadlFzO31OjuolVCAmKdiIJVK8eXLF6XuVSmD09TURJcuReuDKYODgwOEQiFsbMqfDb2sL5K2tjZmzZrF6QgOADp16vTVKm5Xr1ZwB1dxU1krVqwo8Dtvcv8+efXZinvtly9fDicnJwgEAtzwaygPA8lPT5uXqFqlx9dv6FdipmckOqwpWLetuI1ePBWLiIgI2NvbK/2Ar1IGZ2RkxNlIplKlShgwYADnUfSTJ0/mpFJuYbjIHlAShaeriibYFRRrcqq0QUlVSU1NhZOTU7FlWPKMLS8LSUnrbKo8HQnkTkmev/fP7ulqlbR5c/sOef/+PdasWQOZrORq9eUlLS0NM2bMgJWVFTp06AA9PT2ldFTO4LhkwoQJaN+e24KTBgYGnG0y+TexsX5R4PfiTK7w6GHlypV48aLgfTzccOTIETg5OWHLli0lXlOasdlYR6u8sQFF19v2jbHEnSW9vlFrKg45OTm4desWJ1oikQh//vknmjRpglq1ajEPQi5evAgLCwts27YNQqEQjo6OSmuplMFxEWCZn759+yocz1M3Xx04mazijGAEAgG6dikYTF5cx1nY5Dw8PPgpSw7Jm4Z89epViefyKD7j/yP0tHlZag1AVUAmoyLm9tS5L3o1Y08VpYqkpKRwokNEOHnyJJo2bQqJRMKsd/XqVbRq1Qrz5s1DtWrV8PPPPzNrdurUSb47edKkSahSpYrSWqr9LfgGnJr6T9qkBotLjqBXRbS0jNGp480Cx0oyucIfOn7KUnliYmJKXF+ztLQscK649wMAunUN//8NJKq/m/BsRFyR79brdXYQanIbuK0K3L59G3369OEkS1BISAg6deqE4cOHw8zMTKH9B8UhkUjw6tUrPHv2DEBuQgjWDCpisRhjxoyBiYkJpk+fzhwmpVKB3paWlnT37t1v3YwyM5qoOmlfonDnjkOBY8VNdyUlJWHHjh1FjvMjuvJR2us0a9asAgU08xtbr565o7vrNxqga5fb0NIqPuOJKlJ41AaozncsLi4O7u7umDVrFqpVq8ak9eDBAyxbtgwXL17ExIkTsXfvXua2jR07Vp5KMCQkhDm5c1paGqytrWFsbIwPHz7g7t27TBluiAgTJkxAQEAAgoODYWhoWO5iqiUFevPJlnmKYFCpBTq098btsP7yYzf8GhYxuWrVqmHFihVFNkA4OTlh3LhxzAUbKyJlmf+KFSvk0zNSaSZuBpS8YakirLHlp7C5rRjYDOM7ly+NnqJkZ2fD19cXAwYMYE7p9fLlS6xbtw6HDx/GihUrmM3N29sbI0eORFpaGvT09LBq1SomPSB3q/3Lly9hZmaG5s2bM5tbdnY2HBwcoKWlhfPnz8uTo7OwYsUKeHl5ITg4mJOqBQBvcDwloK/fBN26RuLW3//Up7rh1xDWPZ5CTe2faYi8zSfPnz8vkJj50KFDAHJL8LBWeFZ1PD09S01QMHXq1AJJml++2ozXr92Kvda6x2MAqj8NmZ8skRRNl18pcOz+CltU1vnnc5aQkMCUyDqPd+/ewd3dHbt378aff/7JZG5SqRTz58/Hli1bIJPJ0KhRI07qr1WpUgUCgQBaWlqYP38+c/WL+Ph42NjYoEOHDti8eTOSkpKY9CQSCYYPH47k5GQEBARAT09P6V2OeezZsweurq7w8/PjNI6Yn6JUgtPhcZh76j4AwLSyEMGLuEm0+z1CJIWff8G4PoNKrWBlda7Y60saoTg6OjI/2aoSZY3UtLW1sWjRogLHSlpfA3J3ueaN7EpLtqxq9N1yC08TCgbxxqztD4FAgI8fP+L48ePykdGAAQOU/jvx8fGYO3cuTp8+DYlEgr59+8Lb25s51ZqHhwdGjx4NAPDx8UHfvn2Z9IKCgtCvXz/MnDkTVatWxYQJE5jMIyEhAd27d0ezZs04qTIgk8kwfvx4/P333wgMDGROKg8AXl5eGDJkCM6cOaP0e1zSFCVvcEpS0dfhClNSjFVxlJTRPo+KuEYnFouxevXqMq/Lq56dR0pKGCIiRxZ7rbq6Pnp0v1/k+PdocGlpafD19YWPjw+mT5+O//3vf2XeU9J6m7+/P9zc3ODl5QWxWIyZM2di8+bNTO2TyWQYPHgwzp8/D319fTx69Ah169Zl0ty2bRvmzZuHnTt34vr16+UqLVUaN2/exIABA7Bw4UIsXbqUOet+UlISrK2tUa9ePZw9e7bc61klQUSYPXs2PD09ERgYiIYNS34gKy+hoaGwsbHB1q1bMWnSJKV1eIPjmP+awQHA02fLEB9f8EtsbNwVbf53qNjryzK6oUOHlruSw/dIeY26sKkBpY/WrCzPwcCgVYnnWQ0uMzMT4eHhuHfvHn755Rel40tFIhH27NmDCxcuICAgAGKxGO7u7pg2bVqp98lkVGSX5NnfOqFt3dx2vHjxAlZWVkhNTUWbNm0QEhLC1DlnZGRg9OjR8s60S5cumDp1qtJ6RITly5dj8+bNOHv2LGxtbZGVlcU0FX/9+nXY29vDyclJntOWhU+fPqFnz56oWrUqvLy8OClG7OLiAldXVwQEBKBVq5I/n+Xl+fPn6NSpE37//Xfmh17e4Dgmv8HdmmeNuqVUGqhIyGQ58L/ZrMjxrl3CoKVVfLwKERWbiSM/enp6mDdvHidt/Bp8+fIFrq6uZV8IoFWrVvjpp5+KHC/N1ICC05B5ZGVlIT4+HklJSWjfvj3U1dWVMrinT59iy5YtuH37Nh4+fAg1NTWcOXMGAwcOLLdGcbi4uGDZsmUAcqeh3dyKXzvMY+pf4bjyKKHAsVdr+svT4AUFBWH48OFo0qQJnj17Bj8/P6bUd3FxcRg4cCAEAgEuXrwIdXV11KhRQ+lgZKlUit9++w1nzpyBt7c3J4kifHx88NNPP2Ht2rWYOXMms97nz5/Rq1cv6Onpwdvbm5MsSO7u7pg3bx6uXr2Kzp07M+slJCSgU6dOsLGxwd69e5mninmD45iUDBHaOF+T//5fGcXlER7xM1JTbxc5bt3jGdTUSt67lJiYCHd39xLP56e4kY+yKFJcMjIyEhcuXFBI/+eff4axsTH09PQKlNG5fbs/0jOelXifZbszqFy54HTezp07sWPHDsTHxyM1NRVVqlTB6dOn0aNHDwDKjeDi4uJgY2OD6OhoaGho4NSpU/jxxx8V+h/zk5qaijlz5uDo0aOwsrKCUCiEj49PqVWaSwsBICK4urpiyZIlWLhwIZYvX46oqCim2oJ37tyBvb09OnbsiL/++ot5I0R2djZ+/vlnhIeHw9fXFxYWFkx6QG7WjmHDhmHz5s1ljnzLw5cvX9CnTx8IBAL4+vpykhzj+PHjGDduHC5cuMC8xpjXxh49eqBmzZo4f/48J9XH+TABjjHS466icVkQEcRiMadVlBMTE5lSirVrewxEVCSxr//NJgCAbl0joalpUOS+6tWry6cjYmNjsX///hL/Rknbo83NzTF8+HCFSt5nZWWhT58+qF+/PqysrJgzQ8yePRt6enoYNGgQvLy85CNUc3Nz7NwlLfVeXd1G6PiDb7HnoqKicO/ePTx69AgA0KJFC1y8eLHcVecLk5aWhvXr12Pz5s3o2rUrEhIScODAASZzu3z5MqZMmYLatWsjIiICIpEI9erVK/H9KG6X5KHxVujRJPfz9+nTJ4wbNw6hoaHw8vKCra0tADCZ28mTJzFu3DjMnDkTLi4uzA9Knz9/hoODA5KTkxEUFITatWsz6QHA6dOnMWrUKLi7u2PChAnMepmZmRg4cCAkEgmuXbvGibl5e3tj3LhxOHz4MCfmJhaLMXToUKirq3Oy6QUAAgMDSzynUgaXmZnJmZZUKoWXlxesra0LBNQqy/MPX2BAGbh79y7s7HKfSrkohnnr1i34+fmVOO2lKDKZDJs3b8a5c+dw69Ytpi++QCBAT5uXePAgFEnJBQtn5oUXVKvWF61aFg0GB4A6derIzU4mk2HPnj1ISEgo9tr8REdHw8XFReH29uqVm8NQUXPr1asXOnfuXOT9nDRpEry9vaGpCfhcafD/R0s2t+KmIPOTkJCAdu3aoX///hg4cCDU1dVx5MgRVKpUqcR7ysLZ2RlXr17F+fPnYWtri2vXrqF3795K66WmpmLixImYM2cOZs2aVeY2++JGbfmnJAHg4MGDSElJQWRkJGrVqlXkekXJysrC8uXLsWvXLowZM4ZZD8jt6EUiEW7dugVjY2NmPalUik2bNmHfvn3yXZishISEIDMzE76+vpz0aUDu9v0tW7ZgxIgRnOg9fvwYHz584z/WWQAAIABJREFUgK+vL/OIOg9PT88Sz6nUFGXVqlUpOTm57AvLARGhRo0aOHToEPr371/2DcXwOVOM1quuyn8/YKsDe3t7TJs2DYsWLWL+Ily5cgXTp09HdHQ0pk2bVu6pvdK4cOEChg4dCrFYDA8PD4waxV7RecuWLZg1axb09dVw/kL9Eq/r3DkIQu3yxTJNmjQJJ06cwPTp0xUaqbHQqVMn9OjRo1wj5bLW0/KwsY5WKC9kcnIyqlativv376Nly5bFPoAoMkWZkZEBoVDIHMycn/JuqChvVhKpVAqZTMbJ03weIpGI0xkPIHf0wWUbJRIJ559tqVTK6XvNtR6g2HJBeSAiqKmpqf4aXKVKlUjZwnfF4eDggCZNmqBbt25Kx1/k/xJbvjiIM2fOAMgdZTRqVLQulyJ8+PABdnZ2CA8Ph7m5OZ4/f86kB+ROTa5duxbu7u6oUaMGnj17xhyIHRsbi8jISERERCAiIgItWjRFz16nS72nVas9qFa1+PjBvMrtVatWRZUqVUr8MkgkEqSkpODDhw+Ii4tDdHQ0Pn78CCC3vJCRkREMDQ3RuHFj1KtXD8+ePUP79u0VHllLpdm4GVC+3Z56eubo0N6Hk9F7SXyPYQL5OR8ZX6Qg8LVZ3WBeQ/mRKA9PaVSITSZCoZDevXuHypUrMz9V7NixAxs3bsSbN28wffp0bN26VSmdwk+psRvtIZPJcPv2bU52WKWnp2Po0KG4cuUKXr9+jXr16jFrArmm5OzsjMaNG3OSfaEweTE88fGeePpsSZnXN2+2GTVr2nPeDkURi1Nw6+8i35NSUWRkygXfs8EVN2rLC9zm4flaVAiDU1NTo9atWyMyMpJZKz09Hebm5khISICTk1ORgp7lpXBMz1TDh1i0aBEnWQ3yEIvFmDx5Mrp27Ypff/2VE808Pnz4wFnet9IgIkS/WI3Y2IMK3dfe6iIqVeI2Vk4iyUDALeXjeNq3v4xK+uw76JTlezS4uJRMdFnvX+DYCKs6WDeYPV6Kh6csKsQuSiLiLN2Tvr4+XFxcMHHiRLZ6Q2oFn0wHjp6KoKAgfPr0ibWJcjQ1NXHgwAGEh4dzppnHv2FuQG6n3Nh8KRqbLwUAZGe/Q1Bw1zLvC7vzbUd1Bgat0a7tcaipsWWBqMgUN2p7sbofNNT5alw83ODn54eMjAyF4zZVyuAAcBJBn8e4ceOwbds25s0gQQtt0HldbhkKu+1BiDh8GMHBwVw0UY5AIIClpWJTZ98zQqFpgVRfMpkYL16uV3iExyX/+99hGBsV3S3JUzypmSL8b9W1Isf/azGhPAV58+YNiIiTaiIxMTGYO3cu/P398fr1a4XvVymDU1dX59Tg1NXV4erqCqm09LilsqhlWHCTho5+ZXmoAE/5UFPTLDDCy09mZgzi4o8ymZ9Q2xT16/+GGjUGQEOD3+zASnGjtkcr+0BPW6W6lP88OTk5AMCcpxLIDSFZu3YtvL29ERERwaSVnp6OdevW4c8//0ROTg6cnZ1hYFA0rrYsVGoNrmbNmnTlypVyJXJVhIyMDOaYjMsP3sPx2D9vKv8Uy/O1+JZrcO8/Z6HjWr8ix/nPu2ohkUhw+PBh+Pr64sSJE0yzFiKRCLt27cKqVavw8eNHHD16FD///DNT++Li4jBx4kT4+vrCyMgIMTExpcb2VYg1uOrVq6Np06ac63IRcGjXygSO+fIQZ4mk0NHiNn6Eh+dbUtyo7f5yW1TW5S42jKd4AgMDERERgenTpzPpyGQynDx5EsuXL0d0dDQCAwOZp+QvXrwoN7eWLVtyEhQeGRkJf39/ODg4oF27dkoHrqvUKrCWlhYnQ+mvxZ9D/0ktVDg1EQ+PquL7KKHEoG3e3IqSkJCA27eL5mlVFCKCn58frK2t0bNnT/Tr149JTywWY8qUKRg5ciSio6MxePBgThInf/r0Cenp6ahZsyZWr17NHMTt7++PYcOGwc3NDQcPHmQydZUawX3vDGlXW14IFQDux6aidR3Db9giHh42ijO2J6v6VpjZCalUirS0NKVLBuXn4cOH2LRpE3x8fHDv3r2ybyiFt2/fYtSoUfI8iwsXLmSudK2hoQETExN59pR169Yx6QGQG9Dp06ehoaGBPn36MOmFhYXB3t4ezs7OTPXh8uANjmMOjLPEr4dyKx447Aji1yZ4VJLijM2kshAhFaR6/bt373DgwAH4+vri4sWLTFoBAQFYvXo1rl3L3VG6b98+1KzJFvhvamoqD1+qVasWliwpO1lCaRARFi1ahF27diEgIAB+fn7MmZY8PDwwdepUnDhxgqnaeh5RUVHyauZcJZ/gDY5jbCwKxpU1WuyNF2uUy3XJw/Nvk5EjQfMVRSsdFE6Q/G+SkZEBLy8vhIeHw9nZWeninTKZDFevXsXu3bvh5eUFqVSK69evM4/e6tevL08+0aNHD+ZkDNnZ2RgxYgTu37+PxYsXo1WrVkyVAfIqcR85cgR+fn5o27YtOnbsyNTGEydOYMKECfDw8GCqTJHHy5cv0bt3b4waNarEKiLKwBvcV+De8t7y+CCJTHV2qfL8tylu1LZ7dDv0aV7+0QgR4d69e3j9+jV+/PFHpTcwiEQi+Pr64tixY7h48SKICLdv32auTP3kyROcP38eADBjxgz07Mk2Io2NjcXAgQPRqFEjmJqaYs+ePUybNvLK8nz8+BFBQUGoXLkyU8FSmUyGP/74AydPnoSfn5+8BBFLG8+cOYMxY8bg4MGDGDp0qNI6ecTHx6NXr16wtbXFli1bOI1D5Q3uK2CoWzCLef2Fl/mpSp7vkszMTPTfHozXKTlFzpX3M/vp0ydcu3YNPj4+8PX1hVQqRWhoKFNHlZycjA0bNsjXoA4dOoSWLVsqrQcAN27cgIuLCywtLZGRkYG1a9cy6YWHh2PgwIHo3Lkzjhw5gvfv36NBgwZl31gCiYmJ6Nu3L4RCIQICApgTUMhkMkyZMgVeXl64efMmmjdnT3l38eJF/Pzzz9i7dy9zKAAAJCUloXfv3mjTpg3279/PaZUBALlPXKry065dO1IVZDIZ1VtwSf7jcunRt24STwUBAOV+dRVDLBZTREQE7d69myZMmEAtLDsW+Izm/aRnixXS9fHxIaFQSABIKBRSSEiIwm3Lj0gkosWLF5OmpibVrFmTJk6cyKQnk8lo/fr1pKWlRa6urpSamkp3795l0rx48SLp6urS/PnzSSqVMmkREcXExJC5uTn17duX0tPTmfUkEgmNHTuWTE1N6enTp8x6RESXL18mbW1t2rdvHyd6qamp1LZtW+rduzdlZ2czaQG4S8V4xjc3LUV+VMngiIi87scX6DhkMtm3bhKPihATE0P79+8nJycnmjBhAtna2tKgQYMoPj5eaYOTSCTk6OhIAIo1tgOBrxTWvH//PllZWZGhoSEBoJMnTyqskZ+XL19Shw4dqH79+hQcHEzHjh2jzMxMpfW+fPlCQ4cOpSpVqtCNGzeY2pbHtm3bSEtLi3bt2sWJXlRUFJmamtKIESMoJyeHWU8sFtPIkSOpbt269OLFCw5aSOTr60tCoZB27tzJiV5GRgZ17dqVOnbsyImh8wb3jSjcifCUH64fCGQyGcXExJBYrNgIpSyOHz9Ov/zyC40ePZrGjBlDY8eOJRcXF6an0sTERKpfv77czHr37k0pKSlEpNwILikpiWbMmFGssSnzuczMzKRFixaRpqYmTZkyheLj42n9+vUK6+THw8ODKlWqRCNHjqTU1FQmLSKi6OhoatGiBbVp04Zev37NrCeRSGjGjBlUqVIl8vHxYdYjIgoJCSEjIyNydHTkZCSYk5NDgwcPJjMzM4qJiWFvIBHduHGDdHR0aNu2bZzo5eTkUL9+/ah169byzzQrvMF9Q7gwuYyMDE7bdPnyZU71PDw8KCgoiFPN3377jZydnenly5ec6EmlUpo2bRppaWlRs2bN6KeffqJFixbRpUvKja4lEgmFhITQnDlz5KajpqZGc+bMUfr9evLkCTk6OpKenh7Vq1ePAJCjo2MBU1bE4DIyMmj16tVkOsKlWGMTSRTvVP39/cnc3JyaNGlCt27dkh9X9oEkLS2NxowZQ3p6enTo0CFOHmy8vb3J0NCQRo8ezTQCzCM9PZ0cHByodu3adP/+fWY9IqIrV66Qrq4urVixgpP/OTs7m+zt7cnc3Jzevn3LQQuJAgICSFdXl1xdXTnRk0gkNGzYMGrcuDElJCRwohkeHl4xDM7CwoKTF4Qo98vo7e1NiYmJnGmmp6eTh4cHpaen0+fPn+XHEz5nFehU9gSUv8MODg6mrVu30ty5czlr55IlS0hfX59OnTrFiV5kZCQ1bdqUBAIBOTo6UlpaGrPmlClTqHr16vLOvFOnTrRjxw5KSkpSSu/Zs2fydaK8HzMzM9q+fbvSUyQTJkwgbW1t6t+/PzVr1oyaNWtGoaGhSmkREb179440NDRowIABdPXqVXr16hW5ubkVuU4Rgxs/d1WxxvYgVrkRUmpqKlWtWpWWLVtGWVlZSmkUZuPGjdSuXTt69uwZJ3pZWVnUsGFD2rp1K2ezAEePHqU2bdpQXFwcJ3pSqZSsrKw4GxUR5Y60mjdvTu/eveNMc+DAgbRu3TrO9O7fv08WFhb05s0bzjSnTZtWMQxOT0+PsxdFJpORlZUVrVy5krNh8tOnT0koFFLv3r3p+PHjBc4N2xVcoIPJzJGUS9PFxYUAkJaWFr16pfgaSWGysrLIzMyMAJCmpib5+voyaz5//pyMjIzkHW/t2rXJy8uLSfPvv/8mS0tLAkANGzakX3/9lQ4fPqz0FyM7O5tCQkLo+PHj1K5dO/L09GSeqoyLi5Obo6enJ/NCORHR+/fvy7ymPAaXni0u1tjGHwxjbiMXDzD5EYlEnKw95YeLUVthuHh/88P1/0yU+1p+z3pExPkSgUQiKdHgVKqagEAgoMTERFStWpWTWIljx45h9uzZMDc3x99//82s5+npiblz5yI+Ph4jR47EsWPHCpwvHGdU1jbstLQ0TJkyBZ6engCAESNG4Pjx40xtfPToEQ4cOIBbt24hIiICQqEQ169fZwr8fPLkCXx8fKCuri7/0dDQgJ2dHUxNTZXSFIvFOH/+PDp16oRatWop3bbCpKSkwNDQUKVrvpVWTYCIYLbIu8hxgM/4z1NxKamagEoZnLa2No0fPx7dunVjjsFITExEnz595Dnj8jo+FnJycjB16lQcOnQIhoaGSExMhKZmwWS0ipocAERERGDp0qXw8fFBaGgoOnTowNTOPNLS0hASEoKHDx9i2rRpnFRV4Pn6lGRwxQVqA0DM2v4qbeg8PGVRIQxOTU2NiAh79uzhJBHn3bt30a1bN2RlZSEyMpKTOnNEhE2bNmHevHm4ceMGrK2ti5wv/IRd3ifrwMBAXLlyBc7OznyH9R+msMGVZGwvVveDhrpKFQzh4SmVkJAQ/PDDD0X6v5IMTqU+/XlZsNXVuclkbmlpiaNHj0IgEChVDr04BAIB5syZI88eUNz5RysLZtwuqYMqTJcuXeDs7MxFM3kqAPUXXi72s3NveW+8XmfHmxvPNyU9PZ0zrXv37sHW1ha+vr4KPdyr1DegXr16ALgzOAAYNGgQ1q9fjzdv3nCmCQB2dnaYOXNmsef0tDUQtqRgDrzympxAIOBHb/9hSptxCV/aC6/X2RVJFcfD82/y4cMHzJw5EydPnmTWevv2LcaOHYu2bdsiMjISs2fPVuh+lTK4ypUrY/jw4ZznK5s7dy66d+/OqSaAUrOUV68kxN/zC05fltfkeP57SKQy1F94udgNJGFLeuL1OjtU0f9+iwHzfJ+IRCLs378fYWFhzFopKSlYsmQJGjRoAF9fX4wePZpJLzMzE05OTjhy5AiICIsXL4aBgYFCGiq1BmdpaUne3t6IjIxkLqz3vfAqKR02rgEFjvG73XjyeJeahU7r/Aoce7M+t/ZWfEomTA11vkWzeL4Rd+/eRYMGDZgTMefk5ODgwYNYu3Yt6tevj5s3bzLNDD19+hR2dnZ49eoVgNykzAMHDmRqY2ZmJgYMGIDo6GgIBAI8f/68xGoSJa3BqVw1gerVq8PW1vZbN4MzGlTTx6151ui20V9+rP7Cy3i8qg90tVTu7eHhiF0BL7HO52mp1/Dm9n3z5csX6OnpMc84ERGuXLmCjRs3okqVKjh16hST3smTJzF79mzEx8dDTU0NFy9eZF72qF69OoyMjKCuro5u3boxF0DNysqSlw2KiIjAnTt3lCqVpJI9aEVbg6pbRRdPVvVF0+VX5MeaLffFKofmGNOx/rdrGM+/TmnT1NGr+0FTXQ2C9f9ig3gU5vHjx9ixYweEQiFcXV2V1hGLxTh27Bj+/PNPREVFoVKlSnj6tPSHnvJgaWmJzMxMAMC0adPkNeKUJSkpCb169YKxsTEOHDiAFi1aMPXR2dnZGDRoEBISEuDn54dq1aqhf3/likarpMFVRHS01PFqTX80WPzPGsvyC4+w/MIjfsqyglNacDbAx7F9TVJSUuDp6QlDQ0OMHDlSaR2JRIKLFy/Czc0N/v7+qFu3Lh4+fMjUNg0NDXz58gVRUVEAgLVr1yqdOCGPZ8+eoXfv3ujZsyeys7OZq2cnJCSgZ8+eqFWrFs6fPw8dHR2mz2pOTg4GDx6M2NhY+Pv7o1q1akztU7k1uLt3737rZnx1inuK5zu5iseFe/GY4Xmv2HN2LU2wY1TbYs+VlsmkIiOTyRAaGorKlSszFe+USqW4fv06Dh48iPPnz6NZs2YICQmBtrbym3Ti4uIwevRoeWjQtWvX0KtXL6X1AMDPzw+DBg1Cjx49kJCQgODgYKYd5BEREejTpw9+/PFH7Nq1C+np6ahcubLSevHx8bCxsUGjRo1w5swZ5mrrIpEIQ4YMwfPnz3Hz5k3UrFn+SvIVZg3uv8DrdXZwuvgIh4Jfy4+ZLfLGoDa1sHk4ezA6z7eltGnIC46d0boOW0ad74WMjAzIZDJUqlRJaQ2pVIqgoCCcPn0aZ86cgYWFBXx9fZna5eXlhbFjxyItLQ26uro4fvw4k7kBgLe3N4KDg9GgQQPY2toym5uHhwcmTpyI1atXY9asWXj+/DmTuQUEBGDgwIH47bffsHbtWggEAiZze/v2LWxsbNCiRQucOHGC+fUTi8UYPnw4nj59qrC5lQZvcN8pTvbN4WjdCFarr8uPnYuMx7nIeH7KUgW5EvUeUz0iSjz/3KUftDRUKmqnCFKpFOHh4bh27RquXbuGqlWryvOoKoNYLIajoyP27t0LAKhbty48PT3lCR+UQSQSwd/fHyKRCGpqati+fTuaNGmitJ5EIsGsWbNw6NAhnDx5Evr6+mjfvr3SekSEtWvXYtWqVTh8+DCGDx8OALCwsFBa08vLC8OGDYOTkxMWLFigtE4eMTExsLGxgZWVFY4ePVokHaGiiMVijBw5Eg8fPkRAQADzNGx+eIP7jqlWSRuv19kVeeLP+503uu8bmYwKrKkWpkeTajg0XvnOkAWxWIyoqCiEh4fj7t27qF27NhYvXqz0jr/Xr1+jX79+8k0Q7du3x+HDh5nMKCEhAS9fvgQAaGtr4+zZs0xrMm/fvsWwYcPw8eNHhIaG4uLFixg/frzSep8+fcKwYcPw8uVLBAcHo2XLlkprAblm6ejoiJMnT+Lq1avo1q0bkx6QOxKcMGEC3NzcOElvGB0dDRsbG3Tr1o35/QVy/+fRo0cjIiICAQEBnCZWB3iDUwler7PDvdhU/LgjqMDx+gsvw2dGVzQ1USz4kefrUlbA/kMnW1QSlv+pNzU1FW/evJH/sHLixAmMHz8eWVlZAIAff/wR27ZtY9rO/uDBA2RkZAAAGjZsCC8vL6WTdxMRjh8/jt9++w09evTAoUOH8goeK90+Hx8f/PLLL7C2toavry8qV66MVq1aKb2u/eTJE9jb28PU1BRhYWHMmyHS09MxYsQIREVFITg4GE2bNmXSA4Dt27dj3rx58PDwwNChQ5n1njx5gp49e6JPnz7Yt28fc0YpqVSKsWPHIjQ0FAEBAahTpw5zG4tQXA2d7/VHVSt6c0lxNb7qLbhEOWL2cvc8ymPlfLXE96begku05vJjhTXFYjGNGjWqQJHWqVOnKlTwtDDv378nR0dHUldXJwA0aNAgpppfb9++pR9//JF0dXVpw4YN5ODgQNHR0Urrffz4kYYPH076+vq0f/9+kslkTO2TSCS0dOlS0tLSos2bN3NSAPXy5ctkYGBAkydP5qSmW0JCArVr147atm1brnqAZSGTycjJyYl0dXXpypUrzHpERA8fPqTq1avT5MmTSSpl72skEgmNHj2a6tSpw0mdS1SEgqe8weWSkpFTYkcqllQso/saBRcDAwNpx44ddO7cOQoNDaW3b98q9Xc6rL5eqqnVW3CJ0jOUK7z5+fNn2rx5s7w4rUAgkHfQyhhcamoqLV26lPT09Khbt27k6upKgwcPVvr1FYvF5OrqSnp6ejRgwAB6/fq1vN3KcvXqVapVqxZ17tyZXr4sf9X7kkhISCAbGxuqXbs2BQcHM+vJZDLauHEjaWlp0fbt2zkxyydPnlD9+vWpX79+9OXLF2Y9qVRK06dPJ0NDQ07+ZyKiyMhIqlKlCv3++++c/M9SqZTGjx9PtWrVohcvXnDQQt7gVJ7iOqKgF0kldqyf0kt/snz//j2npe2JiM6dO0fe3t6cfAnycHNzow4dOtDChQvJ19dXXkFbGcRiMT18+JDc3NxIIBDIjUJbW5tmz55drs65LEOrt+AS1WvYhAICApRqY3R0NE2fPp309fXJwsKCdu7cSX379i1QIV0Rg8vKyiJXV1eqUqUKtWrVii5fvkwymYxSUlKUNrfQ0FBq3bo11apVi86ePcv8fmdmZtL06dNJS0uL1qxZQxJJ+ardl8atW7fIxMSEbG1tKSkpiVkvKyuLxowZQ0ZGRnT9+nVmPaLcqvVGRkY0ceJETqpci0QiGj16NNWsWZMePHjAQQuJ7ty5Q0ZGRjRnzhzOzG3ixIlkYmJCz58/56CFRI8fP/4+DQ7AnP//slYtz/WNGzfm5AXJ48aNG/TmzRvO9EQiEW3dupXEYjE9fqz4lFRxBAUF0e7du2nGjBkUExNT7DWrvB6V2Nk6ez0qcv3s2bNp+fLlVK1aNfLx8WFu4927d8na2pp69uxJAKhFixZ0+PBhpumbCRMmkKmpKRkYGBSYojM2NqZdu3Yp3Ak+efKEhEIhqampUfPmzalatWqkrq5OEydOpLdv35Z4X2qmqFymtmnfMTp16hSNHz9e6VHMu3fvSENDg/r27UtXrlyRTwUV7qAVMbi5c+eSmZkZeXh4cDK1lJqaSkZGRjRr1ixKS0tj1iMi2rBhAzVr1owiIiI40cvOzqb69evTypUrOTFLIiIPDw+ysLDgrFOWSqXUrl07cnZ25uyB8Pr169SwYUPORkVERHZ2drRo0SLO2nj//n2qV68ePX36lBM9IqIpU6aUaHDfLNBbIBDUAbAPgAWAdkSUXNY9GhoalJKSwhRXk5/Bgwfj48eP2L9/P7S1tVG7dm0mvXfv3qFz584wNzfH+/fvERkZybzL6NKlSxg/fjw+fvwICwsLBAUFlVil4HjYWyw6W3L2hOcu/aCpLsC6devg7u6OuLg4AMD8+fPh4uKi9Hbf2NhYnD59GidOnMDt27flxxs3bowdO3YoFRMUGhqK1NRUPH36FAsXLkT//v0xcuRI2NnZQVdXV2E9kUiEyMhItGzZEjo6Opg3bx4mTZpU7Bbx8lZ1OD+uKRrVrg59fX0AufnzdHTY8kPGxcWV+TlUJNA7NTUVurq60NLiroROSkpKqZUyFEUkEkEqlTK/dvlJT0+Xvy9cQETIzMzktOo9F5+XwmRnZzMHXOcnJycHWlpanCaZyMnJYY6by49EIoGmpub3VdFbIBCcBuAM4AIAy/IYnI6ODq1cuRJ9+/ZFq1atmNuQnJyMli1bQl1dHfPmzcOMGTOY9EQiEbZu3Yr58+cDACeVxxMSEjBw4EDkZXDp3r07fH19S/2ARLxNwU/uwaXqmoW5Ii42Fl++fEFaWhpat26N48ePo379+kq1UyqVwsXFBUZGRrCwsICFhQVq167NnGj22bNnqFmzJlNQallM8wiHT1RC+drj0hfaGtzVI1SG/2omEx6ekigpk8k3MTiBQOAAwIaIZggEgtcoxeAEAsFkAJMBwNjYuB0AGBoayuNjWPD09MTkyZPx5csXdO7cGYGBgUx6RARvb28sWbIE9+/fR40aNfDixQvmJ8nPnz/Dz88Pvr6+8PX1RadOnfDXX3+VaR4SqQyNlviUqR+2uCeMdTUgEomUGh2pEmXFphVm9aAWGNWh3ldskeLwBsfzX6fw6PdfNziBQHAdQHH5VpYAWAzAlog+l2Vw+dHR0aHs7GwAuUGWXEyTeHh4YPLkycjKykJsbCzzNCWQmzPv9OnTWLZsGUaMGIGVK1cya+ZBRIiOjoaRkZFCsTfhbz5h8M6Qcl37PYxSuICI0M7lOj5liBS678mqvtDR+n7/f97geP6rhIaGYt26ddi9ezdq1KghP/7djOAEAkFLADcAZP7/odoA3gFoT0SlzhO1atWKPn/+jLdv3yIwMBCdO3fmpE3379/HoEGDMGPGDOZpyvxIJBKcOXMGP/74I6dzzqzcj02FQ6Gg8dKoaSBEyCKb7zrZs/Olx9gfGKPwfVoaari/3Pa7NrTC8AbHowokJCTgyJEjmDFjBnP/9+DBAyxduhReXl5wcXHBkiVLCpz/bgyuSAMUGMFZWlrSsWPH0KVLF6xevZqT1DN5fPr0Cbt27cLixYs501QFvmSL0WHNDWSKpErdP7GLGRb3bwo1ta9nfkSEE3disbCUDTTlZaldU0zoYvZdm3VZ8AbHwzUSiQRhYWHo1KkTs9a7d++wYcMG7N639e4RAAAa2klEQVS9G25ubpgwYQKTnpubG2bMmAGZTIZatWrh+fPnRZZSKkw1gcaNG8PX1xfnz5/nVNfY2BiLFi3iVFMVqCTUxONVfeW/f84Uo/Wqq+W+f19gDPYpMXL6N5jR0xzTe5pD/SuaLw/PtyAjI4OTHZ2ZmZk4ePAgXF1dsWXLFiatrKwsLFq0CLt27UJOTg4sLS2Zcn3mYWFhAW1tbWRnZ2P16tUK7RP45gZHRPUVvadNmzZK7/YrDVV+queKyrqaRZI4f8oQYcLhO4h8m/qNWlU6u35ph97NavBGxlOhISJcv35dnmOya9euSmulpKRgx44d2LZtG5KSkmBvbw97e3um9uno6KBevXrIyckBAOb8pkBuGaLBgwdj3bp1ePfuHX755ReF7v/mBqcsXMbh8JSOsZ4Wzv1W/Hpn4pdsnI+Mx+HgN4hPzeL8bw9pVxs//q8WOjQwhqa6apeT4flv8ebNGxw+fBjjxo1D3bp1ldbJzMyEh4cHtm3bhkePHmHatGlM5gbkVpO4ceMGkpKSoKuri23btjHpAcDBgwexcOFCLF++HK9evULHjh2Z9C5cuIDhw4djy5YtmDp1KmQymeKGWVz09/f6819O1cXDkwcYki3zFE9OTg5duXKFsrOzmXREIhGdO3eO+vXrRwKBgFasWMHctnPnzskz+tSpU4cp3ydRbk5NZ2dnEgqF1LFjR1q/fj1zGzdt2kTa2tp07tw5IspNms3CyZMnSUtLi/bv31+u6/E9pupS9Ic3OB4e3uCIiFJSUpg1ZDIZBQUF0bRp06hKlSq0ZcsWJj2RSEQTJ06Uvz/t27dnThYuEoloypQpVLlyZdLR0WFOrSeRSGjq1KlkZGREgYGB9PDhQ6Y2ymQyWrZsGenp6XGWo/Po0aOkpaVFf/31V7nv4Q2Oh6eC8F81uOfPn9OGDRuoc+fO5X6yL4mYmBhq1aqV/LUcNGgQc77F1NRUGjBgAKmrq5Ouri49e/aMSe/Tp0/Us2dPatCgAT1+/FihDr84MjIyyMHBgerWrctJrlypVEp//PEHGRkZUWhoKLMeEdGhQ4dIS0uLPD09FbqPNzgengqCKhjcx48f6ezZs/T777/TrVu3mLTOnj1LzZo1k//fv//+O3P7Xr58SW3btiUAZGZmxjwijIqKInNzc+rYsSNdv36ddu7cyaQXHR1NTZo0oa5du3JSDSE5OZk6duxIrVq1ovj4eGY9sVhMo0ePJhMTE3r48CGzHhHRnj17SFtbm86cOaPwvbzB8fBUELg2OLFYTFFRUXTkyBGmzk8sFtPKlSupbdu28nJEzs7OzO3z9/cnfX19AkA2NjbM034nTpwgAwMDGjFiBI0fP57u3LnDpHfq1CnS09OjqVOnUk5ODkmlUqbRYEBAABkbG9PYsWOZ1wSJckerTZo0IRsbG0pNTWXWy8rKIgcHBzIzM+OscoGbmxtpa2sXKAulCLzB8fBUEPIMjqXze/v2Lf3+++/UsWNH0tHRIQC0detWpnZJJBJasmSJvH2Ojo5MHX1GRgbNmDGDNDU1afHixdSoUSNKTk5m0ps0aRLp6OjQvn37SCaTMZX8kUgktGDBAhIKhcxTpnkcPHiQtLW1ae3atZyUqImIiKCaNWvSyJEjOak+npaWRjY2NtSsWTNORoJERK6uriQUCpmqj/MGx8Ojoly+fJnGjBlD3bp1o7p163Iygnv37p18ig4Aubm5MenduXOHLC0tqXr16tS3b18aMmQIUy22oKAgMjc3p+bNm9Pdu3eJiEqsh1geoqKiqHnz5tS8eXOKiopSWieP5ORk6t27N9WpU4fCwsKY9aRSKS1cuJB0dHTo9OnTzHpERNeuXaNKlSrR3LlzOakFmJycTO3btycrKyumB438rFmzhnR1dZk3qPAGx8PzlZFKpbR06VLq168fde/enSwtLalVq1Z09OhRpZ/GJRIJHT9+nDQ1NQkA6enpMRlcSkoKLVq0iHR1dal79+5kZGREu3btUkqLKHetberUqaShoUG///47paSk0P379ykrK0spvaysLJo3bx5pamrSwoULmafoZDIZ7d27l3R0dGjy5MmUkZHBpEeUOyqqX78+9ejRgz58+MCsl56eToMGDSITExPm6dI8/vrrL9LW1qbNmzdzohcfH0/Nmzcna2trTgrdymQycnJyIn19fQoICGDW4w2OR2WJjY2lR48ekVgs5kwzJSWFunTpQi1atKAuXbqQnZ0djR49Wumq0hKJhK5du0YODg5yAzIzM6OQkBCl9NLS0mjLli1kZmZGxsbG1LNnTzI1NaXIyEilDC4jI4PWrVtHhoaG1LZtW7py5QrJZDKlp4WkUikdOHCAqlatSh06dKDw8HCldPITFhZGTZs2pSZNmij9uuXn8+fPNGLECDIwMKATJ04w6xHlGoeOjg7Nnj2bk89jXFwctW3bltq0aUOxsbHMejKZjNavX0/a2tqc/c8vX74kMzMzsre3V/rBJT8ymYwWL15MBgYGFBwczEELeYOrEHAxzZCf+Ph4evfuHaeaISEhNG/ePAoPD2deQ5DJZJSamkohISGkq6tLQqGQLC0taeLEibR9+3ZKSEhQSC8nJ4dCQkJo48aNZG9vT5UrV5abRY8ePejevXsK6UmlUgoKCqLff/+datSoQfr6+jR69GgyNTWlUaNGKRWQ+/r1a5ozZw4ZGBhQ48aNaefOnZSRkUGhoaEUFxdHRKSQwYlEInJ3dycTExNq3LgxnTx5kvlzdO/ePerUqRNVqVKF9u7dy6yXnZ1NixcvJk1NTZo9ezZlZmYy6RHlTpk2aNCArKys6OXLl8x6IpGIpk+fTjo6OnT06FFmPSKi8PBwMjU1JQcHB/ry5QuznkQioT/++IMqV65M/v7+7A2k3KldExMT+uWXX5g39xDlfqfnzJlDhoaGnEztEuUacIUwuEaNGnHyguRx48YNTubj85BKpeTi4kLJycn0+PFjTj4Qt27dohUrVlB8fDyNHTuWky3Djo6ONHv2bNq5cyfp6urS8uXLmaYdwsLCqH379tSjRw/q06ePvANu1KgRLV26VKnXeNy4cfKdcwKBgDQ0NAgAaWlp0ZgxY+j27dsK6T1+/Jh0dHRIKBRS9+7dacmSJTR//nyqX78+nT59WikznjhxImlra9PgwYPp9OnT8o750qVLCmsR5a6LaWpqUs+ePenSpUslGociBjdv3jyqXbs27d27l5MRx+fPn6ly5co0adIkztZhNm7cSA0bNmQOJ8gjJyeH6tatS3PnzuVkYwURkYeHB5mZmSn8EFQSMpmM2rZtS/Pnz+fswfXGjRtUu3ZtzrbtExHZ2dmRo6MjZ2188OABmZiYKD1TUhyTJ0+uGAYnEAgoKCiIsxdm9uzZVLVqVbp37x4dOXKEWe/jx4/UtWtXqlGjBvXv359+++03Zs2bN29Sx44dSUNDgzQ1NcnMzIz5A+zu7k4jRoygOnXqyDvL6tWrk7u7u1KmHB8fT/v27aNt27bRvHnz5JotWrSg6dOn0/nz5xVeSwkNDaXAwEB6/fo1ZWdnk7W1Na1Zs4YSExMVbh9R7hN4cHBwgQ7v6dOnTFMur1+/Zk6bVJhXr16VeY0iBvfx40dORkT54WLdKT9ZWVmUnp7OqeanT5841ZPJZJy/11ysZRWGi5FgfjIyMjjZzVlYk0tycnJKNLhvXg9OEUxNTUlTUxM7d+5E1apV0b59eyY9IsKsWbNw5MgRpKen48GDB7CwsGDSlMlkmDlzJrZv3w4AcHd3x7Rp05g1hw0bhjNnzgAA9PX14eHhAQcHB6U1iQiOjo4ICgpCtWrVUL16dVSrVg1dunTBkCFDlK6s8Pfff+Pdu3fo0aNHgYq7LEilUhARNDRUNjc4p/D14Hh4ClIh6sGZmJhAIpHA3t4ejo6OnBicsbExPn/+DJlMhgULFuDChQtMmtnZ2RAKhTAzM0NMTAz++OMPNGnSBDY2NkprikQizJ07Fz///DPi4+MRHx+Ps2fPokqVKujSpYtSmgKBAO7u7kq3qSRYs5wXh7q66lTb5uHh+fqEhoYiPj4egwcPLvU6lRrBmZubU1JSEj5//owaNWogLi6O+ak+KysLu3btwpo1a5CcnAx/f3/06NGDua1EhMePH+PixYsIDAzE9u3b0aBBA2ZdHh5+BMejSnz8+BGfPn2Cubk5s1ZISAhWrlyJ0NBQREdHo1q1agBKHsF983U1RX7atWtXIIecr68vR7O4ufPhzs7OZGNjw/luRSLidIs7z38bqEAuSh7VRCaTcRIKQJQb3jNz5kxq3Lgx83rjgwcPCmxgKxzfh4qwBmdpaUl3795FdnY25syZg/T0dBw+fJjTv/Hp0yeoqanB0NCQU10eHq7gR3A8XJOdnQ0PDw/4+Pjg6NGjEAqFSms9f/4c69evx19//QWxWIyTJ09i6NChzO3r2rUr7t69CwsLCzx48ACampry8xViDS4PoVCIHTt2wMfHR7kqr6VgbGzMmRYPDw8P1xARwsLCEBwcjJkzZyq9IQwAPnz4gJ07d8Ld3R1JSUm4efMmk7kBQExMDDw9PSEWi9G7d28MGTKESS8nJwejRo1CUlIShg8fjvHjxxcwt9JQSYPLo1+/ft+6CTw8PDylkpqaimfPnqFDhw5MOpmZmTh+/Djc3d3x8OFD3Llzh8ncsrOzsWTJEuzfvx8AMHnyZHTv3p2pjWlpadi4cSPq1KmD1NRUuLm5MbUxIyMDgwYNQmxsLAIDA6GtrS1fdysPKm1wPDw8PFyTkZEBPT09Jg2ZTIYbN27g4MGDuHbtGoKDg5n0Xrx4gf79+yM6OhoA4OLigtatWzNppqam4sGDBzAyMoJQKMT69euZ9BISEtC/f39oa2sjKCgIL168QOPGjZnaZ2dnh+zsbNy6dUshY8uDu7k9Hh4eHhUlOjoaLi4u6NatGxITE5m0Tp06hfr168PW1hbHjx/Hxo0bmXcQUr44UCsrKyxYsIBJLyoqCh06dEC1atUQFhaGHTt2MO07iI6ORqdOnWBqaorr16+jSpUqTCPWxMREWFtbQ01NDX5+fkqZGwDV20XJw/NfB//xXZRfvnyhs2fP0vz585kKeIrFYnJ1dS1QNkjZNGv5uX37NlWqVIkA0IgRI5gzgfj6+pKhoSGNHTuWli9fTo8fP2bSu3r1KhkYGNBvv/3Gye7usP9r7/6DoqzzOIB/PiW77oKy/AhxZP01SFrqhClDwzDZhYgnWjNBk3YUWcSMXj9ID0/AZhpnrAmSnfXXTV2CDUxGgZIXcMZw/tEkJyRpgnKQ4g8IrhtL0IRjed73xy6Mdtq5+zz57O59Xn+56HzmwxfZ9z7f5/t8v0ePIjw8HM8995wm2xOeO3cOMTExSElJue1dT8gftuqSgBPCtwJOURScOXMG1dXVqh6/6evrw44dO7B06VIYDAYEBARosndlcXHx2Hhu3rxZVS1FUbBz504YjUbk5uZi0aJFqgJYURS88847MBgMKC4uhqIoqgPkvffeg8FgwLZt2zTZgquurg6BgYHIz8/XpF57ezusVivS09Pd2kdUAk4IP/FrBpyiKB7v9znq7NmzeP/995GRkQGr1YrAwEA0Njaqqnnt2jUkJiaOfe8lJSWq67388sswGAxYuXIllixZouqA1oGBAaxevRrBwcE4cOAAAHV7dl67dg3PPPMMQkJCcOjQIY/rjBo9UNVsNmP//v2q6wHABx98AIPBgO3bt2tSr6WlBREREVizZo3bPwsJOCH8hFYBNzIygra2NpSVlWH9+vV45JFHMH36dNVnsTU1NY0dzBoQEKB6Q4auri4kJyfDYrHAarUiNzdXVb1vvvkG8+bNw+zZs3Hs2DGcP39e1SkdbW1tmDNnDmJjYzU5mqe7uxtxcXGYM2cOOjo6VNf76aefkJ6ejsjISE0OVFUUBW+//TaMRiMqKipU1wOcJ7gHBwcjJyfHoytBCTghfNiVK1fQ1NSEioqKsYB78skn0d7e7nFNRVGwefPmsXoWi0X1G+Bnn32G6OhoREZGgplVHbo5MjKCXbt2ISgoCI8//jh6enpQVVXl8VSnoijYvn07xo8fj+zsbE12tf/www8RGBiIrKwsTXYAaWxsxOTJk7FixQpNTi/o6+tDfHw85s6di66uLtX1RkZGkJOTg4kTJ6KhoUF1PcB5T9BsNuONN97weJpTAk6IO6SzsxP19fWorKxESUkJbDYbioqKVL1h9ff3Y9GiRWNhRESqjk26dOkSNm3aBLPZjKCgIISGhqo6o+vbb7/FihUrYDKZsGXLFvT29mLXrl0e1+vs7MTixYsRHh6Offv2qb6/09fXh+XLlyMsLGxsClGNwcFBrFu3DiaTCaWlparrAcDevXthNBqRn5+vyXaBbW1tmDFjBpKTk1XdCxw1NDSEVatWYfLkyZqdi1dVVQWj0QibzaaqjgScEDfx6aefory8HFVVVaipqUFDQwMaGxtVvcG0tLTAaDSOBdH999+P1tZWj2o5HA5UVlYiISEBAQEBYGZVU5RXrlzB1q1bYbFYEBsbi9raWtjtdhw/ftyjelevXsXrr78+dvCr2qsEh8OB4uJimEwmPPXUU6rvBwJAbW0tJk2ahKSkJHR3d6uu19XVhbi4OMyaNQsnTpxQXW94eBivvfYazGazqive6zU0NMBiseDFF1/UZGXj5cuXkZSUhJiYGJw9e1Z9gwBKS0thMBhU308FJODEHTQ8PKz5IYnDw8PYuHEjtm7dio8++gjNzc344YcfVNX88ccfkZeXd8NV0YIFC3D06FG3aw0NDaG6uhppaWkwGo0wm80gIrzwwgseTYUNDAzAbrdj5syZCAkJQV5eHnp6epCenu5RwA0ODsJut2PSpEm499578fHHH4+FuCc/K0VRUFVVhWnTpmH27NmaLIQ4deoUHnroIURGRmqyEOL6hSRFRUWaXBXV1NQgNDQUaWlpmkwhXrp0CcnJyZg6dSpaWlpU1wOAkpISGAwGFBYWavJ72Nvbi9jYWMTFxam6V3k9u90Oo9GITz75RJN6EnB+QFEUzU86uHz5Murq6jSte/XqVSxcuBAZGRkoLS3FhQsXPKrjcDjQ0dGBgwcPorCwEA8++OANYRQbG+vWfYDBwUEcPnwYBQUFiI+Px1133YXIyEiYTCZMmDABdrvdrdVbiqLgyJEjWLt2LcLCwhAWFoa1a9fiyJEj2L17N8rLy93+ni9evIiNGzfCYrEgOjoaO3fuvOG0a4fD4VbAORwOlJSUYNq0aZg6dSr27Nmj+tmn06dPIzk5GUFBQSgsLHRrOffNDA8P480334TRaERmZqYmp3H/fCGJWg6HAwUFBTAYDLDZbJoER1tbG6Kjo5GYmKjJKemKoqCgoAAmk0mz4Ojo6MDMmTOxbNkyTU5dVxQFW7ZsgdlsRl1dnQYdOk8t8IuAmzFjhiYDMqq+vl6TZ2lGKYqCvLy8sfnp5uZm1b8Ihw8fxksvvYSDBw9iYGAATzzxhOr57+zsbKxatQobNmyAzWZDaGgoZs2aBZvN5tFcfWNjI+bPn4+YmBhYrVbcc889GDdu3A1hlJqa6tYKs8zMTBgMBhARoqKikJSUhJSUFBAREhISUFNT49bYtra2jt1vSk1Nhc1mw8mTJ+FwOPD88897NHWVlZUFo9GItLQ0VFdX3/BG78mS856eHgQEBCAxMREHDhy4ZQ13Ai43NxcRERGw2+0YHBx0u6ef6+/vR3BwMJ5++mlNpvsAoKioCFFRUaitrdWk3tDQEKxWq2YLSQCgrKwMU6ZMwZdffqlJPUVRsGDBAmRnZ6v+gDCqoaEBERERqh/JuN7y5cvx7LPPajLNCQAnT55EWFgYvvjiC03qAc7fw1sFnE8dl8PM3xPROb37uIVwIvqX3k34IBk3z8i4eUbGzTPePm7TAPzXfl4+FXDejJmbcbMTZcUvknHzjIybZ2TcPOOr4yabLQshhPBLEnBCCCH8kgScdt7VuwEfJePmGRk3z8i4ecYnx03uwQkhhPBLcgUnhBDCL0nACSGE8EsScL8CZl7PzGDmcL178QXMXMjMp5n5BDPvZ2aL3j15M2ZOYeZ2Zu5k5j/q3Y8vYGYrM/+NmduYuZWZX9G7J1/CzHczcwsz/0XvXtwhAacxZrYSUTIRnde7Fx/yORHNBTCfiP5BRJt07sdrMfPdRLSTiJYR0X1EtIqZ79O3K5/gIKL1AO4jongiWifj5pZXiOiU3k24SwJOe8VElEvO7ZTEbQBwCIDD9bKRiKL07MfLxRFRJ4AzAP5NRPuI6DGde/J6AL4DcMz15wFyvllP0bcr38DMUUS0nIj+rHcv7pKA0xAzP0ZE3QCO692LD1tDRLV6N+HFphDRheteXyR5o3YLM08nolgi+ru+nfgMGzk/tCt6N+KucXo34GuYuZ6IIm/yV/lElEfO6UnxM780bgCqXf8mn5xTSeV3sjfx/4OZg4iokoheBdCvdz/ejplTieifAL5i5sV69+MuCTg3AUi62deZeR4RzSCi48xM5JxmO8bMcQB672CLXulW4zaKmTOJKJWIHoU8nPlLuonIet3rKNfXxP/AzAHkDLdyAFV69+MjEohoJTP/lojGE9FEZi4D8Dud+7ot8qD3r4SZu4hoIQBv3oHbKzBzChFtI6KHAXyvdz/ejJnHkXMhzqPkDLYmIloNoFXXxrwcOz917iWiSwBe1bsfX+S6gtsAIFXvXm6X3IMT3mAHEU0gos+Z+Wtm/pPeDXkr12Kc3xPRX8m5UKJCwu22JBBRBhH9xvV/7GvXVYnwY3IFJ4QQwi/JFZwQQgi/JAEnhBDCL0nACSGE8EsScEIIIfySBJwQQgi/JAEnhI9w7Yh/lplDXa9DXK+n69uZEN5JAk4IHwHgAhHtJqK3XF96i4jeBdClW1NCeDF5Dk4IH+LabuorItpDRFlE9ACAYX27EsI7yV6UQvgQAMPM/AciqiOiZAk3IW5NpiiF8D3LiOg7IpqrdyNCeDMJOCF8CDM/QERLyHkqdQ4zT9a5JSG8lgScED7CtSP+bnKeZXaeiAqJqEjfroTwXhJwQviOLCI6D+Bz1+tdRDSHmR/WsSchvJasohRCCOGX5ApOCCGEX5KAE0II4Zck4IQQQvglCTghhBB+SQJOCCGEX5KAE0II4Zck4IQQQvil/wA620B+CT/I4gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Set up Jacoby matrix\n",
"mtx = np.array([[1, -2],[2,-1]])\n",
"\n",
"P = lambda x,y: mtx[0,0]*x + mtx[0,1]*y\n",
"Q = lambda x,y: mtx[1,0]*x + mtx[1,1]*y\n",
"fun = lambda p,t: [ P(p[0],p[1]), Q(p[0],p[1]) ]\n",
"plt.figure(figsize=(7,7))\n",
"\n",
"# plot few phase trajectories\n",
"x0_ = 1.0\n",
"tt = np.linspace(0,100, 1000)\n",
"for y0_ in [-1,0,1,2,3,4]:\n",
" xy0 = [x0_, y0_]\n",
" zz = odeint(fun, xy0, tt)\n",
" plt.plot(zz[:,0], zz[:,1])\n",
" plt.plot([xy0[0]], [xy0[1]], 'o', mec='k', ms=4)\n",
"\n",
"# visualize the vector field\n",
"xx = np.linspace(-5,5,20)\n",
"yy = np.linspace(-5,5,20)\n",
"Xm,Ym = np.meshgrid(xx,yy)\n",
"plt.quiver(Xm,Ym, P(Xm,Ym), Q(Xm,Ym), scale_units='xy', angles='xy')\n",
"\n",
"# visualize eigenvectors of the rotated Jacoby matrix\n",
"# ---\n",
"rot90 = np.array([[0,1],[-1,0]])\n",
"mtx90 = np.dot(rot90, mtx)\n",
"vals, vecs = np.linalg.eig(mtx90)\n",
"print('Ortho-eigen vals', vals)\n",
"print('Ortho-eigen vecs', vecs)\n",
"\n",
"plt.plot([vecs[0,0]*-3, vecs[0,0]*3] , [vecs[1,0]*-3, vecs[1,0]*3], \n",
" '--r', label='$\\omega_1$ = %.3f' % vals[0])\n",
"plt.plot([vecs[0,1]*-3, vecs[0,1]*3] , [vecs[1,1]*-3, vecs[1,1]*3], \n",
" '--b', label='$\\omega_2$ = %.3f' % vals[1])\n",
"\n",
"\n",
"# visualise precise solutions\n",
"evals,evecs = np.linalg.eig(mtx)\n",
"L = np.imag(evals[0])\n",
"v = np.real(evecs[:,0]).reshape((2,1))\n",
"w = np.imag(evecs[:,0]).reshape((2,1))\n",
"print('L = ', L )\n",
"print('v = ', v )\n",
"print('w = ', w )\n",
"\n",
"c1_ = 1.0\n",
"tt = np.linspace(0,100, 1000)\n",
"for c2_ in [-1,0,1,2,3,4]:\n",
" xy0 = [c1_, c2_]\n",
" zz = (c1_*v + c2_*w)*np.cos(L*tt) + (c2_*v - c1_*w)*np.sin(L*tt)\n",
" zz = zz.T\n",
" plt.plot(zz[:,0], zz[:,1])\n",
"\n",
"# decorations\n",
"plt.plot([0,0],[-10,10], 'k-', lw=2)\n",
"plt.plot([-10,10],[0,0], 'k-', lw=2)\n",
"plt.legend()\n",
"plt.xlim(-5,5); plt.ylim(-5,5)\n",
"plt.xlabel('X'); plt.ylabel('Y')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ortho-eigen vals [4.0175564 0.5824436]\n",
"Ortho-eigen vecs [[ 0.84060955 0.73700565]\n",
" [-0.54164157 0.67588658]]\n",
"R = -0.4500000000000002\n",
"L = 1.4620191517213446\n",
"v = [[0.50602557]\n",
" [0.75180941]]\n",
"w = [[0.42275375]\n",
" [0. ]]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Set up Jacoby matrix\n",
"mtx = np.array([[1.3, -2],[2.6,-2.2]])\n",
"\n",
"P = lambda x,y: mtx[0,0]*x + mtx[0,1]*y\n",
"Q = lambda x,y: mtx[1,0]*x + mtx[1,1]*y\n",
"fun = lambda p,t: [ P(p[0],p[1]), Q(p[0],p[1]) ]\n",
"plt.figure(figsize=(7,7))\n",
"\n",
"# plot few phase trajectories\n",
"x0_ = 1.0\n",
"tt = np.linspace(0,100, 1000)\n",
"for y0_ in [-1,0,1,2,3,4]:\n",
" xy0 = [x0_, y0_]\n",
" zz = odeint(fun, xy0, tt)\n",
" plt.plot(zz[:,0], zz[:,1])\n",
" plt.plot([xy0[0]], [xy0[1]], 'o', mec='k', ms=4)\n",
"\n",
"# visualize the vector field\n",
"xx = np.linspace(-5,5,20)\n",
"yy = np.linspace(-5,5,20)\n",
"Xm,Ym = np.meshgrid(xx,yy)\n",
"plt.quiver(Xm,Ym, P(Xm,Ym), Q(Xm,Ym), scale_units='xy', angles='xy')\n",
"\n",
"# visualize eigenvectors of the rotated Jacoby matrix\n",
"# ---\n",
"rot90 = np.array([[0,1],[-1,0]])\n",
"mtx90 = np.dot(rot90, mtx)\n",
"vals, vecs = np.linalg.eig(mtx90)\n",
"print('Ortho-eigen vals', vals)\n",
"print('Ortho-eigen vecs', vecs)\n",
"\n",
"plt.plot([vecs[0,0]*-3, vecs[0,0]*3] , [vecs[1,0]*-3, vecs[1,0]*3], \n",
" '--r', label='$\\omega_1$ = %.3f' % vals[0])\n",
"plt.plot([vecs[0,1]*-3, vecs[0,1]*3] , [vecs[1,1]*-3, vecs[1,1]*3], \n",
" '--b', label='$\\omega_2$ = %.3f' % vals[1])\n",
"\n",
"\n",
"# visualise precise solutions\n",
"evals,evecs = np.linalg.eig(mtx)\n",
"R = np.real(evals[0])\n",
"L = np.imag(evals[0])\n",
"v = np.real(evecs[:,0]).reshape((2,1))\n",
"w = np.imag(evecs[:,0]).reshape((2,1))\n",
"print('R = ', R)\n",
"print('L = ', L )\n",
"print('v = ', v )\n",
"print('w = ', w )\n",
"\n",
"c1_ = 1.0\n",
"tt = np.linspace(0,100, 1000)\n",
"for c2_ in [-1,0,1,2,3,4]:\n",
" xy0 = [c1_, c2_]\n",
" zz = np.exp(R*tt)*( (c1_*v + c2_*w)*np.cos(L*tt) + (c2_*v - c1_*w)*np.sin(L*tt) )\n",
" zz = zz.T\n",
" plt.plot(zz[:,0], zz[:,1], '--')\n",
"\n",
"# decorations\n",
"plt.plot([0,0],[-10,10], 'k-', lw=2)\n",
"plt.plot([-10,10],[0,0], 'k-', lw=2)\n",
"plt.legend()\n",
"plt.xlim(-5,5); plt.ylim(-5,5)\n",
"plt.xlabel('X'); plt.ylabel('Y')\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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