Lugovtsov/6.11.1-band-gap-width-of-semiconductor/plots.ipynb
2024-11-09 11:24:25 +03:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "f458562b-bc3a-49c6-bc78-4455207673d7",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# %load /home/glebi/git/experiment-automation/processing_tools.py\n",
"import numpy as np\n",
"from scipy.optimize import curve_fit\n",
"import pandas as pd\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"import scienceplots\n",
"\n",
"plt.style.use(['science', 'russian-font'])\n",
"\n",
"matplotlib.rcParams.update({\n",
" 'figure.figsize': [6, 4],\n",
" 'savefig.facecolor': 'white',\n",
" 'figure.dpi': 150.0,\n",
" 'font.size': 12.0,\n",
"})\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1232debc-1fb6-49a3-a13f-eb0b088a336f",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"data = np.loadtxt(\"data.csv\", delimiter=\",\")\n",
"Utp, R2 = data.T # mV, Ohm\n",
"\n",
"f = 622 # Hz\n",
"c = 41e-6 # V/K\n",
"T0 = 25 + 273.15 # K\n",
"T = Utp*1e-3/c + T0\n",
"T_sigma = .01*1e-3/c\n",
"\n",
"R1 = 220 # Ohm\n",
"R3 = 560 # Ohm\n",
"l = 40e-3 # m\n",
"S = 4.1e-3 * 4.15e-3 # m^2\n",
"sigma_x = (l / S) * (R1 / R3) * (1 / R2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e8f546af-46c0-4fa4-a8e5-a94c621793a1",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.errorbar(T, sigma_x, xerr=T_sigma, yerr=0, fmt=\".\", markersize=1.5, label=\"Экспериментальные данные\")\n",
"plt.xlabel(\"Температура, K\")\n",
"plt.ylabel(r\"Удельная электропроводность $\\sigma_x$, 1/м$\\cdot$Ом\")\n",
"\n",
"# plt.yscale(\"log\")\n",
"plt.legend()\n",
"plt.savefig(\"sigmaOnT.png\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "949a988d-840f-4d34-8815-d664e86b6037",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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8k9w71/CJ1n/gHV9ew5/e9TRPJzo4UOzgQCHFvkKSvFcY7scREREROW01NDRg2zaxWOyYx2l50gnoKduk02mCwSCmaRIInN7Nvb7v0+Vm6XQydLpZfvX0Xm799ubu16wihYtbKZ77AuRDhDZcxrTkefzvV64kS46gaVEWiFJiRSizohoKJyIiInKKua6L53kUi0VisZh2TxoM6mk4OsdzSTpdpIoZ6m7/PfuSr5e43PH7yF3xGH68g8Br05n+/NtpvP5yLpwdpUCBUitCLNC9w1I4YA/jU4iIiIicnrTl6iBSaDi+LifL7za/xuean2Jve753WrRvuhQueJriBU+DYxH6Qy3T91/EN+ov4uwzLEzDpNyKErO6G6VVdRARERE5dcZkaEgmk9TW1rJt27YTfm8ikaCxsZF4PN779e23305NTc1x36vQ0D+O59Je6GJXZyfP7zrIl767hf0d3b0LbryN/JWP4Y07iLl3Eme88E5+96X3kfFzZLwcpYEIJVaUMitKNBAe5icREREROT2MydBQX1/PihUrTnj3ndbWVhYuXMjq1aupqqoCXg8gjY2NLFiw4JjvV2g4MRk3R4eTJplL88dfXseBju4lS77hUTz3eQoX/wEMn7+Z/mH+YtK7KY9adHlZDAPKrEPbswZjBIzTu29EREREZKiNudDQ2trKtddeSzKZPOHQUF1dTX19PUuWLDns+6tWrWLRokVs3769twLRF4WGE+f6Lh1Omse37OVvmp9ib/vruyV5JSnctzxBfvxuzIPjmP78O/nnP72GCeMtrFCRkmCEkkCYMitGiRUZxqcQERERGdvGXGior6+nra2NVatWnVBoaGlpoa6ujo0bN/a5FMkwDBobG48IFG+k0DBwWTdPe6GLNc/u4q4fvMj+ZJHJFWEKjsveSc+Rr1kPloP9/IUEn76IKeUxlv55FfPOLaPcjlESiFBuxTQUTkRERGQIjKnhbk1NTSxdunRA7129ejVA77KkN4vH4zz44IMDvjc5tkggxORwBe+95Gx+dffb+L+medx/6xzaOosEt84m+vMPEtg1ncIFT5N5z894zXqFv/3WC3z4jj/w2OY9HCym2JdP0ulkNBRORERE5BQbNaEhkUgQj8eP+qH/eFpaWgCOuvyoqqqK1tbWgd6e9INpmFQES5kUrmBmxXimxUuZWNG9xaqZjRH+9TWEfvd2CBXIvut/yc9by56uNMv+ZRsFx+0eClfsYH8hScE79tRCERERERk8oyY0NDY2snjx4gG/vyd0yPALB2wm2OVMDMX5x/pLmHQoOAQMg+DLM4j+/INYiSqK57xI5n0/ZWdkG89uzlLMWrTn0xwsdrIvn6SjmFbVQUREROQUGBULxFesWEF9ff1JnSOZTPYrNPTnuGLxyJ9yazr0iTENk/JgjPnnnsnv76nktc5OXtjdzrJ/2credgg//jacHVXkL3+C3DUtfGLjdkLN85gSK+f2j87kktl5Cr5DzisQD8YImRoKJyIiItIfPVOg36ivz7dvNOIrDYlEgmQy2a85CoOhra3tuMfEYjFs2z7sV0NDwym4u7EnZNpMClcwq3I875w9nYcb5rH8k9UAWLumE/3FBwi+dC5O1TYy7/8pr5a+yF//07N85M6neGLzXra2H2BvNkmy2IXne8e5moiIiIg0NDQc8Vk2Fosd8z0jfvek+vp6mpubD/vewoULT3j3pIqKCgDa29v7fL22tpbW1la2bdt21L6Jnq7ydDp9RFe5Kg0nr+g5JJ0uUsUM193+GPuSryded8Jeclc+hl+WIvDqGYSevBIrF8XzYXx5kK8vPp+rZk+m3IoRCYSG8SlERERERrajVRpisdjo3D1p1apVJ70sqUdlZeWgHRcMBo/4pcBw8oKmxfhgd6/DP914KZMquj/8mwYE9k8i+ov3E3z2QtxpO8m87yfkqzfj43Ogo8gn79vEr17cyYFCB23FFK7vDvPTiIiIiIxMgUCgz8+zxzJiQ0MymWT9+vWDtiwpHo+TTCaPeb2e42T4GIZBqRWl7twZPN54Lb/9+lv455vnMKnCxvAsQptqifzvezG7Sslf8Ti5+b/EK0nh+fCl725mf76Dg4UU+wpJMm5uuB9HREREZEwYsY3QiUSC1tZW6urqjnitZ/vUntfq6+tZsGDBMc83d+5cWltbj9ronEgkTlnfhByfZQaYGI4TtUJMKo1S+5Vx/Oa5vdz7HzvY2z6O2P+9l/x5z1K4aBOZ9z6M/dSl7HtxDi9uLXLRORa5QoGC5xAL5IlbJVimKkEiIiIiAzXiexr60tN/cCK33traSm1tbZ8ToZPJJBUVFZoIPUI5nkuHkybt5mgvdNKZcTlwwOcv7tuIU9pB7orH8CbuwzwwnmnPvYNf/PV7CUc9Mn6OaCBMSSBMmRWjxIoM96OIiIiIjEhjaiJ0fySTyd5KxBvV1NRQVVXV59Tnhx56iHg8flJzIGToWGaAcXYZ4+0yJobjTCqLcvZZAf7+r87HTJUTeeTdhNZdgVee5NW3/oi5P/h7/vjOJ3hhc5GcU+RA4fWhcEXPGe7HERERERl1RmWloaKigmQySXt7+xFLjerq6mhpaaG5ufmIENDa2sq1117Lxo0be3dISiaT1NbWsnLlyuMuT1KlYfi5fnfVocvJkSyk+ZM7NvTusuRFu8hf/gTutNcwkuWE117NNOcMGm+YQ+V4g4klUcqDUUqDEUoDUQzDGOanERERERkZjvc5d9SEhmQyycKFC2lra6O1tRWAqqoqqqqqaGxs7P3A39TUxN13382aNWv6DAGJRIKlS5dSVVXFuHHjWL9+PfX19cyfP/+496DQMHJk3TwdTpq1W/fyhRXPsa+9AICPj3N2gvzcJyGUJ/jieYSfrsEvBplUYfN3n57FlbMmEjPDxIMl2Kb+O4qIiIiMmdAwEig0jCye79HhpEkVMrzS0cFf3vPU61WHUJbCvCdxzt6O0VVCaO1VWHumMjFu8+Cyi4naNmWBKKVWlDJLVQcRERE5vSk0DCKFhpEp5xbocNI8sXUvX1jxbG/VAcCZ/gr5y9biRzNYW2cSap3H5EgZX110DpPGB5hWVkZZMEq5FSMcsIfxKURERESGj0LDIHrzRGhNgR45PN+j08nSUUiz+tldfPXft7A/WcQ0wLUK5C/dgDN7M0Y2QujJK7B3noXnw8QKm6/dcA5XzZxEiRWh3IphGmNufwARERGRPvVMhz7eRGiFhhPQExp63HXXXSxbtmz4bkiOkPcKdBTTpIpZXkul2L2/yJcf2MzeZB5n0m7yVzyOX9pJ4OWzCK2/HDMXZULc5sFlF1IRilFidVcdIoHQcD+KiIiIyJBbtmwZy5cv7/1aoWEQqNIwOvi+T6ebobOYJeVmSBfyXH/XU+zrKOAHHAoXbaJ43nNQDBLaOA8rMZNJ5SFu+2gVl58XJ26XUGKFKbdiBAz99xUREZGxS5WGIaCehtGl4BVJFrtIezme2LKPOx/Ywt72AqYBxYoD5K98DK+incCuqYTWXYmZLmV8eZCGT8/k8lkTKLEilAWixDQUTkRERMY49TQMIoWG0cf3fbrcLJ1Oho5ihr2dGdoO+iy5/3n2pDIU5zxL4cKnwDex/1BDcPO5BDD557+dw5mTIkwvK6c0GCFulWCZqjqIiIjI2KTQMIgUGkYvx3NJOl10uVlSxTSea/DhO//Avo48XnmS3BWP4U3Yj7l/AuG1VxPoiOPT3SjdtOg8rpw5iVIrSkkgou1ZRUREZMxRaBhECg2jX5eTJeWk6XJzrN92gLse2Mbe9jy+4VGc/SKFS1vB8LCfvZjgcxdgeAEmVdisWn4J8VAJsUCYuFVC0LSG+1FEREREBo1CwyBSaBgbHM+lw0mTdnMkC12sfb6dW779Ej7gxTrJX/4E7tRdmO0VhNZeTeDgeH667DIqKiFqhSgNRCgNRigNaCiciIiIjA0KDYNIoWFsybg5Opw0XU6WtVv3c9d3t7G/o4Bh+BRmbCNf+yQEi9gvziH41KVMKYtx+59Xc+k5JZTbMUoCYcqDMUKmhsKJiIjI6KbQMIgUGsYe13cPBYccyUKajnSRtjafW+9/jteybRTmrcM562WMzlJCa6/C2juFSXGbJX8+g6vmjCMejHXvsmRFNRRORERERi2FhkGk0DB2Zd38ofCQodPNEibEwYMe777rcZwzXiZ/2Vr8SBZry2xCrbUYxRAT4zZ/d8NMrpg5kZJA9zTpcEBVBxERERl9jvc5Vz8aHYBisUixWMR13eG+FRkkkUCIiXaccXY544PleKZHSYXL5IoQ1qtnEf35B7G2zsKZtZnM+x7Gmf4K+5IF7vzuNjpyGfYXOthfSNJe7MTzveF+HBEREZF+cV2397PtsSg0DEAsFsO2bRoaGob7VmQQmYZJRbCUCXac8cFySu0Iyz5dzaSKEEYhRHjt1YRbrgPPJPeOR8m95dfsySZZeNdTbHihg335JAcLHewrJMm4ueF+HBEREZHjamhowLZtYrHYMY/T8qQT0FO2SafTBINBTNMkENDAr7HI8z06ne6hcMlimsefP0jTf2xnb7KAHyhSuOQPFM99HgohQhsuw9pexeR4iL/71KzDh8IFYwQM/RkRERGRkcl1XTzPo1gsEovF1NMwGNTTcPrJewU6it1zHToKaVpf7OJr/76VfR0F3PH7yF/xOF48SeC1aYTWXYmVLcHzYXx5kHsXzeGq2ZMot2LErMhwP4qIiIjIUakRehApNJyefN+n083QWcyScjOkC3muv+sp9nUU8E2XwgVPUzz/GfBM7D/UEtx8LgYGpgHfvnkOV8+e0jsUzjJVdRAREZGRR6FhECk0nN4KXpFksYu0l2Ptln3c8cAW9rYXAHDj7eSveAxv/AHMfRMJr70aM1XOhHKb+5fMYWq8hPJglFIrSkkgoqFwIiIiMqIoNAwihQbxfZ8ut7vXoaOY4bfP7efeQ70OhumRP+cFChe3guFjP30JwecvwPBNJlXYLPmzGVx74RRKrQjxYAm2qT9DIiIiMjIoNAwihQbpUfQckk4XaTdHMt9FV9bn4AGfT9y3ASeWIn/5E7hTdmO2VRJaezWBtnEATIgHaVw0hytnTqTUilJmRVV1EBERkWGn0DCIFBrkzbqcLCmnu1E64+bY+nKB21a8wJ6OHE71FvK168FyCD5/AfYzF2O4FhPiNiuXXUxFuKS71yEYI2RqKJyIiIgMH4WGQaTQIH1xPLd7mrTbHSB8D9xckI989Ul25dvJX/YE7hmvYqTKCD9xNYH9k5hYbtOwaBaXVMUpC0QpsSKUWVFMQ6NTRERE5NRTaBhECg1yLBk31x0enCxpN8e2lwvc9t0X2d2exT3zZfLz1uJHclgvnUNoUy2TY6X89O/m4phFSq0IsUCEcitGJBAa7kcRERGR04xCwyBSaJDjcf1DVQcnR8rJ4Loez27Jcuf3X2BvNkW+dj1O9TaMdJTQuquY0lXFN+ovpOqsIKZhUm5FiVlhyi0NhRMREZFTR6FhEGkitPRX1s0fCg8ZOt0stmfzgTs2sLcjjzNlJ/nLn8AvSWNtryK88TJWLLqSS88pIUuOkkCkt0k6GggP96OIiIjIGNbfidBaQD0AsVgM27ZpaGgY7luRESoSCDHRjjPOLmd8sBwsn4ZFM5kYD2Htnk70Fx8k+OK5OGcn6HrvT/jkz37Ee7+8jp2v+uTcIgcKHRwopDhYSOF47nA/joiIiIxRDQ0N2LZNLBY75nGqNJwAVRpkIHJuobdRuj3XxYI7n+JgqgiAO2EvuSsewy9PEdh5Bme89HZ+d9cfk/XzpN0s0UCYkkCYMitGiRUZ5icRERGRsaa/lQaFhhOgngYZKM/3SDkZupwsj23Zw+KvP4N36P8833QoXPg0xfOfAcfi0/EP8dez/4jyWJBOL4Pnu5QFY93bs1olBE1reB9GRERExhz1NAwihQY5WXmvQEcxze+37OELzc9yoKPY+5pbcZD8FY/jjTtIYM9kpr/wTr798bcx+6wInW6WsGlTGohQFoxSEohoKJyIiIgMGoWGQaTQIIPB93063QzJfJqfbniVLz3w0uuvGR7F856jcNEmAMZvmce6T/0VXTkXwy7iGS5lwSgxM0w8WIJt6s+hiIiInDyFhkGk0CCDqeAVact38palj7I3WTjsNa+0g9wVj+NN2ksoOR7z91cx3ZhK0+I5nH1GkJAZpPQNuyyp6iAiIiInQ6FhECk0yGDzfZ/fbn6NRf/8JLvbc5gGr/c64OPOfoncJRvBcgg+dyFnvHoZaxreTtbIk/cKlFrdS5XKrRjhgD28DyMiIiKjlkLDIFJokKFScBx2dLTz/J6D3LLiWfa2F5gUD7E3mceLpslf9gTu9J0YHeVMfeYd3P+nf8TsM6PsTHVQWRIiHuzeXancimEa2klZREREToxCwyBSaJCh1uVkSRa6eK2zi0CwyJ8tf4Y97Xl8fJyzt5Ofuw5CeUq3n8+Ely5n30GPSRUhln+6mitmTiB2qOoQCYSG+1FERERkFFFoGEQKDXIqOJ7bO9fhiS17+OL9W9jf0d3z4Idy5Oc+iTMjgdEVI7TuKqzd05hcEWLl8kuwAgFKzAhOPsBZ5XGCAW3PKiIiIsen0DCIFBrkVMq4OTqcNMlcmj/+8rrDtmd1pr1K/rIn8GMZrG3VhDZextq738VLe5Is+e7z7Du0vOmBv7qct587fRifQkREREYDhYZBpInQcqq5fnfV4fEte/mb5qfY215gckWIouNzINdF/tKNOLNfIpCP8M0LF/GNv8+zpz3f+37TgIduu5JrzzkTy9SfVRERETmcJkIPgZ7Q0OOuu+5i2bJlw3dDctrIunnaC128lkphhorseLXI7d99id3tOcqr2/DfupZdzj4Cr5xJaP0VmNlo73snlNv8tvHtxO0SYoGwtmcVERGRXsuWLWP58uW9Xys0DAJVGmQ4eb7X3evgZEm5GYqOi1+wmVASIe8X+cbLq/jnV34BjkVo42VY22Zi0B0Qln+ymg9edialwQhxq4SgqV4HERERUaVhSKinQUaCnFvobZTudDKEzRClgQiGYbDyhae4+aVmvMp2ArunEFp3FWZXKQAT4kGaFs3hypmTKA1GKA1oKJyIiIh0U0/DIFJokJHC8z1STub1qoPnUGpFCZs2a57ezQ2/+iGFizaBb2JvupTgS+dh+CaTKmxWLr+EcjtGSSBMeTBGyNRQOBERkdPd8T7njvg1CitWrGDjxo0AtLW1kUgkqK+vZ/HixSd0nqamJtavX8/1119PTU0NVVVVJBIJmpubaW1tZfXq1UNx+yJDwjRM4sESIgGbYNEi7ebodDLkjAJvP38iZ/5wHrtePZPcFY9TmLse56zthNZezd72CpycRaeZIecVKHgOJVaEMiuqoXAiIiJyVCO60rB06dLeD/k9Wltbqa2tZf78+Sf0Qb+pqYmlS5ce8f2qqio2btxIPB4/7jlUaZCRyPd9Ot0MqWKGTjdL3iuy45UiS+5/nl3tWYqzX6Rw6UYwPexnL+KMnXP5f/U1VJ8ZIuflKbWilBwaChcOqOogIiJyOhq1y5MSiQTV1dUsXryY5ubmw16rq6ujpaWF1atXM3/+/H6dr6fSkEgkSCaT1NTUUFdXd0IVC4UGGckKXpFksYu0lyNVzGD6AZ7ZkuWu7z/PruJB8pc/jjt1F2Z7nGnPvZPHb1uIg0vKSRMwTcoCUUqs7vCgqoOIiMjpZdQuT0omkwBs2LDhiNd6qgKJROKEztnY2EhVVdXJ3prIiGSbQSbYcSJulpARpNPNMme2zb/fXsO1S58g/Ggdzoxt5Oeu59WrfsqXXsrypZkfwcyHMUMOB7wO8l6BvFekzIoSDYSH+5FERERkhBixoaGmpoZt27ZRWVl5xGs9YWHu3Lmn+rZERjTDMHobooOORdrMkYx0ManCZm97geD2mQR2T8O8agPfN/+P/9zxOIHHr+SMwgy+vvgCzpxWYE8qw/SyckqDBeLBGAFD2wqLiIic7kZsaAD6rAokEglaW1uZP3/+Yb0OIvK6oGl1Vx2cLLZh0bhoDkvuf5597QWmRSr4+3lfYNHDD7Nnzm8p1v2S7Vtm8Zn7s4S8MHuSeSZW2Ny7aA5XzppEWSBKzIoM9yOJiIjIMBqxPQ1HU1dXR1tbG2vWrOlX83KPpqYm5s+fT0tLCwcPHgS6l0DV1dWxYMGCfp3jzcPd3kiD3mSkcjyXDidNqphhZ6qD8mgQv2Dzli/8Fj+YJ1+zAWfWFoxMhNCTV2DtPAuge3vWZZdgOCGmlpZSaZdimfozLiIiMtr1DHR7o+MNdxvRlYYePU3Mra2tLFiwgMbGxgGdZ+nSpaxcufKwsFFdXU0ikWDJkiX9Pk8sFjvie3fddRfLli0b0H2JDCXLDDDOLiMSsAlbQbqcLJ1+lkkVIfa2Q3jd1TgvzyB/+RPk3vErrJfPxl5/OXvbYcGdm9jXUWBSRYhv1l/MW2ZPpeTQIDkREREZnRoaGli+fPkJvWdUVRoSiQRLly4lkUiwcuXKE2pqTiQSfR6/YsUK6uvr2bhx43GXO6nSIKOd63dXHbqcHE9s2cOXHtjM3vYCUyrC5Pw8e6qepHju81AMEt54GYFENQbdAWFCeZBffu0qyu0o8WAJtqkdxEREREajgVQaRlVo6FFbW0trayvbtm076d2QerZ2XbBgAStXrjzmsdpyVcaKrJvvXrJUSPNaZyeTS0rYvrPA3zQ/zU7zVZyrH6dY1k5g11RC667ETJcCML48yD2LzmPOlArOKC+nPBhT1UFERGQMGLVzGo6lpzpQU1PTOy16oJLJJBUVFVRVVbFt27ZjHqvQIGOJ53uHqg5ZUm4G1/MoMaNksj7hEFz+/W/SVt0Knom9qZbgS+diYGAa4PkwuSLEP91YwzvOmUbI1FA4ERGR0ex4n3NH7ASnRCLBqlWr+nytZ6vV1tbWfp2rqamJioqKY851aGtrO/GbFBnFTMOkIljKBDvO+GA5MStMyuvCijhEgkF+eM2nOeN3H8ZMxinMW0f2uv/FK0viHfoxw572PDd9eyO70+0ki114vnfsC4qIiMioNWJDQ11dHQsXLjxqcOjRMwTuWFavXk0ymezz2J6woJkPcroKB2wm2OWMC5YxPliOh8eBYgfnnh3j91/8IGev/RPsDfPwKtvIvOdnFC54Ct/oDgj7kwXe+cXf8uvNr7KvkCTnFob5aURERGQojNjQAN2Tn/tqTu6pGFRVVfVr29WeZUx9naulpQXoDikipyvTMIkHS5gQ6g4PpVaUlJOmy8/wjzddyll7a4n+4gME9k2icMkfyP7xz3ErDwBwoKPILSueY1+ug/2FJG3FFK7vDvMTiYiIyGAasaGhpzG5r0bnBx98EOjeQvWNkslkbwh4o/r6+t73vFnPNU5ky1WRsSpk2ky044y3yxgXLMMwDKZNN/jvr1zBuuXv56e1X2bCU2/Hi3WR/aP/Jn/pBvyAw972Apm0z9b2AxzIdbC/0EHGzQ3344iIiMggGdGN0AsXLuT6668/bPjaqlWrWLhwIYsXL6a5ufmw4+vq6mhpaaG5uZnFixcf9lpTUxPAYeFg6dKlrFixgjVr1vRrurQaoeV0UvCKJItdpL0cqWIGy7Aos6L4Lrxt2f+y89zf4p75CkaqlInPvJ3S9mnsSeaZVGHz1U/P5spZk4kFwsSDMQKGtiMWEREZyUb97kmrVq3qrRL09CQsXbqU+fPnH3FsU1MTd99991FDQEtLCytXrqStrY1kMklVVRWNjY39niyt0CCnG9/36XKzdDoZOt0sWbdAaSDC5pezfL75KV4teZHi5etww1mszbMJ/WEuRtFmYtzmwWUXURaKUhIIU2bFKLEiw/04IiIichSjPjSMJAoNcroqeg5Jp4u0myNVTGMaAUrNKJ0Zl/ZCJ9f87B9wqrdipKOEnrwS67UzmFhu85UbZjNtgs308nJKgxHiVglBc1QMohcRETmtKDQMojdPhNYUaDnddDnZ7gZpN0fGzVESiBA2Qlxz+295NbyN/OWP45eksbbPILThcgKFMJ4PEytsGm84jytnTqIsGKUkENFQOBERkRGgZzr08SZCj9hG6JEsFoth2zYNDQ3DfSsip1SJFWGiXUFlsJSKYClZL0/S7eQb9RcyLVtF9BcfJPjieThnbyf9vp+QPyuBj8++9gK3ffcFNh/cz758kv2FJAWvONyPIyIictpraGjAtm1isdgxj1Ol4QSo0iDyuvShSdJdTpa0m8P2bN5/x3r2duRxx+8jd+Vj+OUdBHZOJ/TklZiZ7r+MJlbY3HPDeVw5cyKlVpQyK6qqg4iIyDDpb6VBoeEEqKdB5HCu79LhpOlycqScNM9u7+SOB7awpz2PEXDJnf80xQueBsci9IdarC3nYGAwqcJmxa1zOCNeTlkwSjwYI2Taw/04IiIipy31NAwihQaRvmXd/KHwkKGjmMHJWew/6HLzimfY6e8if+VjeOMOYu6dRHjtVZid5QBMKA/ytUXncPWsyZRYEcqtGKahVZMiIiKnmkLDIFJoEDk6z/cOBYfuZUuu51FiRklnPP7kq4/x6uQ/ULj4DwDYT19C8IXzMXwT04B7bpzF/AunUBqMUm7FiARCw/w0IiIipxeFhkGk0CByfDm30B0eDs13CJshEq/k+Zvmp3mt2N3r4E3ai3lwHKG1VxFoHwfAxHiQr91wLlfOmkSJFabc0lA4ERGRU0WhYRApNIj0j+d7pJxMb9Wh6DnEzAjZDHyg4TF2TXiWfM0GsByCz12I/cxFGJ7FhLjNQ8suojwUpcSKUBaIEtNQOBERkSGn0DCIFBpETkzeK5Aspkm7OTqdDEHDIvFygY/eux4nkiZ/2RO403didJQRXns1gf2TmFhu87VFs5kzo4QyK0YsECZulWCZqjqIiIgMFYWGQaTQIHLifN+n082QKmbodLPkvSKJlwssWfE8ezpyOGdtJz9vHYTyBF86F3tTLVNLS/nFVy6jy81SzFtMKy0hbpdQoqqDiIjIkFBoGEQKDSIDV/CKJItdpL0cqWIG0w/wzJYsd3zvOfbmUuTnPokzI4GRjhFadyX/tuD9fPkHz7OnPcekCptv1F/IlTMnEbdKCJrWcD+OiIjImKLQMIgUGkROju/7dLlZUsUMXV6WrFsg4od4z5fXsbcjjzN1J/nLH8ePZSjdOQvv8VqMQhiA8eVBft5wGRWhGKXBCKUBDYUTEREZLAoNg0gToUUGR9FzSDpdpN0cqWKaF3Zk+PIDW9jTnmPiBJOZ79/MI/nfY+TC2E9ejvXK2RgYTCgPcttHq7j2wimUWhHiwRJsUwFeRERkoDQRegj0hIYed911F8uWLRu+GxIZ5bqcLCknTZebo6uYxc0HmVJaAsCV9/4Xr53/a/yyFIFXzyD05JWY2SgAE+JB7ll0HlfNnESpFaXMUtVBRERkIJYtW8by5ct7v1ZoGASqNIgMPsdzX686OGkMDMqsGM9t7+QzKzaw88wnKc55FhyLUOs8rK2zMDCYVGGz4tY5nBEvp+zQULhwwD7+BUVERKSXKg1DQD0NIkMnfWimQ5eTJe3miJphQr7NtV/8HbsCu8hf8RheZRuBPZMJrb0Ks6sMgAnlQb626ByunjWZEitCuRXDNMxhfhoREZHRRT0Ng0ihQWRoub7bPU3a6a46+D7seLXIF1Y8y65khuKcZylctAl8A/upSwm+OAfDNzEN+Kebz+XKmRMpsbqrDpFAaLgfR0REZNRQaBhECg0ip0bWzR8KD92zHcKEeGpzmju+/zy7vH3krngMb+I+zAPjCa29mkCygonlNv+y9EIqSoPE7ZLuoXDBGAFDSwhFRESOR6FhECk0iJw6nu8dCg7dy5Zcz6PEjJLOeHyg4TF2TXqG/KUbIOASfPYi7GcvwvACTK4Icdcnq5g9Jc60slLiwRgxDYUTERE5JoWGQaTQIHLq5dxCd3hws3Q6GcJmiK078nz03idxIl3kL38Cd9prmMk4obVXETgwEdMAz4dJFTZ/X39R71A4y1TVQUREpC8KDYNIoUFkeHi+R8rJ9FYdip5D4pUitzY/x56OHM6MBPnaJyGUJ/jiHOxNl2K43f+PTozb/PD2SzmjvIxyO0ZJIKLtWUVERN5EoWEQKTSIDK+8VyBZTJN2c3Q6GQJ+ADdnseCr69iVTVKY9yTO2dsxukoIrb0Ka8/U3vdOrLD5u4+fx/wLplJplxI0rWF8EhERkZFFoWEQKTSIDD/f9+l0M6SK3U3Sea/IjleKLLn/eXa353Cnv0LusrX40QzW1lmEWudiFF7fSWli3OabN17CW2ZPoTSgoXAiIiKg0DCoNNxNZOQoeEWSxS7SXo5UMYPpB/ALQV7dl+Wv/2U9r1Q9hjNrM0Y2QujJK7BePav3vRMrbP7r9rmcUV5GRaiEkKmhcCIicnrq73A3TUAagFgshm3bNDQ0DPetiJy2bDPIBDvO+GA544Pl2FYAL5Tj3LOj/KahjtaFX2TqE+8FxyL39l+Rfeuv8MIZAPa1F7hmyeO85bZH+UnrNtrynXi+N8xPJCIicuo1NDRg2zaxWOyYxw1ppeHRRx8F4JprrhmqS5xSqjSIjExFzyHpdJF2c6SKaUwjQLkV49ntKT53/wZeOWstxXOfh2KQ0MZ5WImZGLy+LGlS3OZbN9Xy9tnTCAdUdRARkdNHfysNQxoaKisrMQyDgwcPDtUlTin1NIiMbF1OlpSTpsvNkXFzlAQihI0Qjz1/gFse/hW7Lvg1XkU7gV1TCa27EjNd2vveSRU2a772Vsrs7onSpqFCrIiInD6O9zl3SLcPWbRokZoMReSUKbEihE0b2+kiZAZJOWlyFLjy/EqemLOQfan3ULfyO7TNbCXz3oexN9UQ3Hwuhm+yt73A/z3zCtdeOIW8V6TMihINhIf7kUREREYENUKfAFUaREaP9KGZDl1OlrSbI2qGiQXCPL29gxv//VfsnPMrvAn7MfdPILz2asyOOBPKbX60/FKCQZMyK0YsECYejBEwtAxRRETGNu2eNIgUGkRGF9d3u6dJOzlSThrfhzIrSoAA/7NhF5/73UMULm0Fw8N+9mKCz13A5NIoTfVzqDozSDQQpiQQpsyKUWJFhvtxREREhsyICA07duwgmUzS1tZGIpHghhtuGOpLDgmFBpHRKevmD4WH7tkOUTNM1Ahzze2/ZVfxAPnLn8CduguzvYLQ2quZ7k3n/75yFbu6OimNmsTtku6qg1WCZarqICIiY8/xPucOuNPvvvvu69dxt912G9XV1TQ3N5NMJrn22msHekkRkQGJBEJMtOOMs7u3Zy36Lu1uJ1+vv5ApwfGEH60j9PjVeNE02Xf9Nztm/I75d/yady9dz4I7N/HbF3exrf0ge3JtdDoZVKAVEZHTzYArDe9617v45S9/edzjrrvuOhYuXMiiRYsGcpkRRZUGkdEv5xa6qw5ulk4ng+UF+eAdG9jbkccLZ8jPW4d71ssYnaWE1l6FtXcKpgGe3z0U7hv1F3Bl9STiwRJsU38PiIjI2DBky5NM0+z3zkjbtm3j7LPPHshlRhSFBpGxwfM9Uk53k3TKzbApkeSuB7aypz3PpHiI10pfIn/ZWvxIDmvLbEKtczGK3fMbJlbYfH/pJZxRXka5HaPMimqXOBERGfWGNDTMnz+feDx+1GN83+fHP/4xrusO5BIjjkKDyNiS9woki2nSbo6OQppsFqaWlHLdlx9jV7qDfM16nJlbMTJRQk9egbXzzN73Tqywue+GCzh3SgVnx+NErNAwPomIiMjJGbLQcNttt3HPPfcM2nGjgSZCi4w9vu/T6WZIFbubpPNekR2vFFly//Psbs/hTdlF9vLH8Uu6sHacjb3+csx8905KPcuWJsVDNN80j3eeO11D4UREZFTp70ToAf/rNn78+EE9bjSJxWLYtk1DQ8Nw34qInCTDMCizYkwMxRkXLKU8GGXGmUF+9Hc1PPb1t/PQJz5I1e+vJ/jCHJyzdpB5/08pztiGj4936Ecue5N5PnTP7/m/F7aTdfPD+0AiIiInoKGhAdu2icVixzxuwKHh4MGDA33rqJdOpykUCtxxxx3DfSsiMkhsM8gEO874YPcOS8FAAC+U49yzo/z6K9ey8c+WMO2xD2BmI+Sv/h25d7bgRbt63+/58Nlvt7Ivl6StmML1x8ayTBERGdvuuOMOCoUC6XT6mMdZA71Ac3Mz48aNIx6PU1lZSTwep6qq6oiG57G4NWEwGFRPg8gYZBgGpVaUsGljOxZpN0eqmCZrFIiXxrj/T/+Iz90/kVemPUnxgqfJvO+nhP4wF2vzORgY7O8osmnXXs6dXEHeLlJuxYgGwsP9WCIiIkcVCAT6tdx+wD0Nc+fOZdWqVfi+3zu4LZlMsn79egzDoK6ujmuuuYb77ruPW265ZSCXGHHUCC1yeulysqScNF1ujoyboyQQIWyESKaL/GrnS/zNCyvwxh/A3DeR8NqrsTrLu3scKmy++unZXDlrMrFAmHIrpqFwIiIyog1bI/SPfvQjVq9eTXt7Ow8++OBALgHAihUr2LhxI0DvROn6+noWL158wudKJBI0Njb27viUSCS4/fbbqamp6df7FRpETj+O55J0urqrDk4ag+4eCMsIsGHrQT61+t85eM6TYPjYT19C8PkLMHyTiXGbB5ddRFkoSkkgTJkVo8SKDPfjiIiI9GnIQkN/tLa2Mm/ePFpbW7n44otP+P1Lly7l+uuvP+xDfWtrK7W1tcyfP5/Vq1ef0L0sXLiQ1atXU1VVBUAymaS2tpbGxkYWLFhw3HMoNIicvtKHZjp0OVnSbo6oGSYWCOP78Nir2/noum/iTt6D2VZJ6ImrCbSPY2J5iK8tms15Z0cpC8aIBcLErRKC5oBXhoqIiAyJ433OHdK9AWtqavjQhz7EDTfcQCqVOqH3JhIJmpqaaG5uPuKc8+fPp6WlhZaWln6fb+HChdTX1/cGBoB4PE5jYyOLFi0imUye0P2JyOklZkWYaMcZZ5dRGSyj4BdpK3bi4nL1GTOYsfEDhNZehVfSSfbdvyB/yUb2dqW544EthPwQO9qT7M+l2JdPknLSY7LfS0RExq4h31D8xhtvpLa2lkWLFnHTTTdx++239+t9PR/iN2zYcMRrb1xe1B8tLS0kEgnmz59/xGsLFiwgmUyyYsWKfp1LRE5fASNAZbCMCXY54+1yIoEgbU6KtJfl/9VfzPQDFxL9+QcJvDad4gXPkHnPz9hpvcx7vryO993WyvvveJLfbHmNg8UU+wtJCl5xuB9JRESkX4Z0edLJSiQSvTszvVFtbS2tra1s3LixX/0IS5cupampifb29j4nWFdUVFBVVdXbO3E0Wp4kIj0836PDSXc3S7sZXM8jSoQ/+tLj7OnI4Zy5g8Jl6/DDOYIvnYu9qQajaDO5IsSDyy/GNi38fJDpZeXE7RiGYQz3I4mIyGlsSJcnpVIpbrrpJsaNG4dlWezYsQOAjo4ObrzxRh599NGTOT1VVVVHfMhPJBK0trYyf/78fjcw9yxj6isw9FyntbX1ZG5VRE4zpmFSESztne0Qs8J0keaexecytSJC8JUZnPWb67ES1RTPeZHMex/GmbqTPe15Xtpa5IN3bOSqL/yGy5b8kkde3EHOLQz3I4mIiBzVgCsNHR0dzJgxg8rKSubPn09bWxtNTU2HzWm48cYbufHGG7nkkksG6Xahrq6OtrY21qxZc9QQ8GYVFRUAtLe39/l6T+XieL8VqjSISF883yPlZHqrDnmniF+wGR+NMP9Lv+PV8Fbylz+BX5KmdOcsxj93Jfv3v/4zm0kVNqu/8ha8osVZ5RVY/dgvW0REZDAN2e5JN910EzU1NSxatAiANWvWUF1dfcRwt9tvv5277757IJfo1dTUxPr162ltbWXBggU0Njae0PsNwyAejx83NBxt+VKPnt/MdDp9xG+maZr9GowhImNX3iuQLKZJuzk6nQy2GSTxSoG/bX6aXZ2dWFc8RcfZz2LkwtjrL8N6eQYG3cuSxpcHOdBRZEplmH/5qyt5y+wpw/w0IiIyVrmui+d5h32vWCwSi8UGf3mS7/u9geF4x52sJUuWsHLlSlavXk0ikaC2trbfTdAnoq2trV/HxWIxbNs+7FdDQ8Og34+IjC4h0+7eYSlYxrhgGQDTphv891euYG3jdTz7sS/yowvvxHLC5N/6W3LveBQvmsY04EBHd1P07rYcn/zW4xzId+D67nA+joiIjFENDQ1HfJaNxWLHfM+AQ0PPkp/j6ejoGOgljlBVVcXKlSsBqK6u7ndw6O8ypv5Kp9MUCoXDft1xxx2Deg0RGZ0Mw6A8GGNiKM64YCnlwSgZP4sRLuAbPldUnMfKc/6Oiq2X4k7dSe59D5Ovfgmf13/Asqc9z4PrtrEn107ayQ7j04iIyFh0xx13HPFZNp1OH/M9Aw4NR1vq80Y7duzg4MGDA73EUdXX1wPdsxf6o7KyclCPCwaDR/zS0iQReSPbDPY2SY8PlhMwTA4WU2TdPPOqJ/D0X97KyvOWc158KvkrniA3/5d4Ja/Ps7ntuy/ytqW/4tHNr3Kg0IHjqeogIiKDIxAI9Pl59lgGHBrq6uqYN28eL7/8MsAR2wVu2rSJuro6brzxxgGdP5FIsGrVqj5fmzt3LkC/dzyKx+PHHN7W89pgVyRE5PRmGAalVrS76mCXEg/GSLtZ2oqd+IbPVZNm8T81X+HPIu/DnbCPzHsfpjDnWXyje53pvmSRv/nO02w5eIA9uTa6nKyGwomIyLCwBvrGD3/4wzzyyCNUVVX1bo3a85P6RCJBIpHg1ltv5ZprrhnQ+evq6kgkEqxcuZIFCxYc9bhkMnncD/tz586ltbX1qMcmEol+b98qInKigqbFBDtOxMliGxZdbo6DxQ5KAhGigTBNtX/GYw1Rds75NYWaDThnbSf0xNUEkpXsSxa4buk6JlXYfKP+Qq6cOYm4VULQHPBf3yIiIifspOY0NDc38+CDD3LgwAE2btzI6tWrWb16Nb7v89BDD3HPPfec1M3F4/E+P8z39DL0NcehLz3LmfrqgeipMlx//fUDv1ERkX4osSJMtCuoDJZSESwl6+VpK6bwDI/vfPwdVG34IKF1V+CVpsj+8c/JX9yKb3YvS9rbXuBvm59hy4GD7Mm2k3LSqjqIiMgpc1KhAWDBggW0t7fT3t7Oxo0b2bZtG1u3buXDH/7wSZ935cqVVFVVHfHagw8+CHRPen6jZDLZO8jtjWpqaqiqqup93xs99NBDxONxFi9efFL3KyLSH5YZYLxdzvhgGePtckJmkLZiiuozQzz6tbfxvXf/OWf99iMEdk+jeOHTZP74Z7jj9wGwr73Au25bxzu++BsefelV9heS5D0NhRMRkaE34DkNp8LChQu5/vrrD1uetGrVKhYuXMjixYtpbm4+7Pi6ujpaWlpobm4+IgS0trZy7bXXsnHjxt4gkkwmqa2tZeXKlf1anqThbiIymFzfpcNJ0+XkDlUOoMyKEiBAW2ee6/71B+yd8xiE8gRfOg97Uw2G0/13z8QKm+8tvZgzy8sps6OUWVFM46R/DiQiIqepIRvudqqsWrWqt0LQs5Ro6dKlzJ8//4hjm5qauPvuu1mzZs1RlzUtXbqUqqoqxo0bx/r166mvr+/zXH1RaBCRoZB184fCQ4ZON0vUDFMSiPD09g4+869reXXmb3FmbMfoihFadxXW7mm9751YYfP1xRdwedVEvHyQKWUlmKZxjKuJiIgcadSHhpFEoUFEhorne4eCQ5YOJ4Pne5RZMSwCtHcVeNeK/2TP+b/Dj2Wwts0ktHEeRiEEQEVpkGCge7elqZVhfvDZt3LZzAnD/EQiIjKaKDQMop7fzHQ6TTAYxDRNzWcQkUGVcwvd4cHN0ulkCJshSg9VHT77wJO8MuMxnNmbMbJhQk9egfXq2UecY0pFmNV3XcMZ8XJVHURE5Jhc18XzPIrFIrFY7KihQQtgByAWi2HbNg0NDcN9KyIyxoQDNhPscsYFyxgfLMfD40Cxg3PPjvGbhjpaP/JFpj3+PigGyb3912Tf9iheJHPYOXa357jgb/6H827+Ceu27humJxERkdGgoaEB27aJxWLHPE6VhhOgSoOInEp5r0CymCbt5uh0MgQNizIryjPbU3zu/o28cuZainOewywGCW6ch7VtJgaHVxYmxUNsbPojysPH/sdAREROT/2tNCg0nAD1NIjIqeb7Pp1uhlSxu0k67xUpDUQJGUGS6SIve6/yuee/zfbiawR2TyG07irMrtLDzjGx3Kbpk5fwvovOxrY0FE5ERI6knoZBpNAgIsOl4BVJFrtIezlSxQzWoapDwDApeg7fevXn/MMrP8YpQnDTpQRfOg/DP3wF6uR4iO9+5nLeNnsahqFeBxEReZ1CwyBSaBCR4eT7Pl1utrfqkPMKlAYiRALduyhtybzGTU//My8UEpj7xxNaezWBjorDzjG5IsTv7nknlaFSbFN/j4mISLfjfc4d0kboRx99lEcffXQoLyEictowDINSK8rEUJxxdinxYIy0m6Wt2Inre8yKTuORyxtYPuMv8CuSZP/45xQu3IRvur3n2NOe53+efpV9+eShgXL6uZGIiBzfkFYaKisrMQyDgwcPDtUlTilVGkRkJOlysqScNF1ujoyboyQQIRoIA/DI5m185ulmMhNfxWyPd1cdDnbPbpgYD/LdJRdwRryc0mCEeDBGyLSH81FERGSYDevypKVLl2IYBvfcc89QXeKUUmgQkZHG8VySThdpN0fKSWNgdA+FMwK4rsddT/6Cf+36EQSLBF+cg/3UJRhu999fEytsvvbpc5gzpZJpZWXE7RimoZ24RUROR+ppGEQKDSIyUqWdLCk3Q5eTJe3miJphYoEwvg9vvfN/2XnO73DO2oHRWUpo7VVYe6cAYBrg+d29Dt+88VLeMXs64YCqDiIipxuFhkGk0CAiI5nru93TpJ3coX4FKLOiPL+ji883P8WrJS+Rv2wtfiSLtWUWoda5GMVQ7/snlNus+dpbKA9HKbdiBAzNoREROV0oNAwihQYRGQ2ybv5QeOjeZSlqhokaYZLpIh9o/DWvVj+GM3MLRiZC6MkrsHae1fve8eVBvl5/PldUT8LNW0wrK8M0tT2riMhYN2Sh4b777uOWW2457nHf/e53ueGGGwZyiRFHE6FFZLTwfO9QcMjS4WTwfI8yK8YLPVWHUIL85Y/jl3ZhvXw29vrLMXMRACpLg1gB2JcsMrUyzPc+8xaumDVxmJ9IRESGQn8nQg+442316tX9Om7lypUDvcSIFYvFsG2bhoaG4b4VEZE+mYZJRbCUCXacCXY5MStM0ulkxpk2a772Vtbf+lFWzm6gfNtFOGe8TOZ9P6E4Yys+Pm2dRfYliwDsasvxiX/6PdsPtuN5KkyLiIw1DQ0N2LZNLBY75nEDrjSYptnviaKu6x7/oFFAlQYRGY083yPldDdJp9wMRc+hzIoRMoM4jsdVjSvZfeGv8eJJArumElp3FWa65IjzTKkM873PXM2VsyYNw1OIiMhQ6G+l4aRCw/z584nH40c9pr29nUcffXTMhQb1NIjIaJT3CiSLadJujk4nQ9CwKLOiPLM9xV+vaOWVaespXPg0hmcSbK0luPlcDA7/4dDkijC/vPMdnBWPEwhoe1YRkbFiyHoabrvttn7NX7jxxhv5zne+M5BLjDgKDSIy2vm+T8rJ0HmoSTrvFSkNRAkZQZLpInvYw2ee/Tabizsw900kvPYqzFT8iPNMqQzzb5+5iqtmTT71DyEiIoPueJ9zB/xjonHjxvXruIULFw70EiIiMsgMw6A8GGNiKM64YCnlwShdboYON015icWc0jNpueKr3DnjY9iTkmTe8zMK5z+Nb3iHnWd3W45PfPMxDmY70SZ8IiJj34BDQ3/7Ga699tqBXkJERIaIbQaZYMcZHyxnfLCcgGFysJgi6+YJGCb1Z7yHR+c2cXF0FoVLW8m+++e4lQcOO8feZJ7LlvySVa1byDr5YXoSERE5FQa8PGnmzJnceOONxONxKisrAaiqqqKqqoqysrJBvcmRQsuTRGQsKnoOSaeLtJsjVUxjGoFDw91MfN/nP3f/ir9L/JBOJ0fwhfOxn74Ew7UOO8ekuM2Kz1zGO2ZPxzTU6yAiMtoMWU/D3LlzWbVqVW9ZOplMkkgkSCQSHDx4EMMwqKur45prrjm5JxhBFBpEZCzrcrKknDRdbo6Mm6MkECEaCAOwJ9/GZ59awRO5pzBSZYTXXkVg3+H9DJMrQvzqa2+Hos3UslINhRMRGUWGtRH6Rz/6ERs2bODuu+8eyCVGHIUGERnrHM99vergpDEwKLNiWEYA3/f52d61fO6Z+3FDWazN5xD6Qy1G0e59/4TyIPs7uofCff+zb+HymRoKJyIyGgxZI/TxAkMqlaK2tpZkMjnQS4iIyClmmQHG2+WMD5Yx3i4nZAZpK6ZIuzkAPjD5Sv5jRgOlr87Gmf0Smff+FGfaqwCYBuzveH0o3Me/+Xt2aCiciMiYMGQLTxcsWEB1dTVtbW1DdQkRERkiMSvCRDtOZbCMymAZea9AW7GToufwlpnTeP7PlnF7yU0EDJPcO9fAO3+Pa+cOO8fu9hwX/u3/ct7NP2Htln14ns+BzpxChIjIKDTg5UnH09raypo1a1i8eDHl5eVDcYlTThOhReR0lHXzdDhpug7NdoiaYUoCEQzDoLOYpWHrf/If+1sw8yGs9Zdh7ZhxxFC4cWU2dsBkd3uO6ZVRvv+5tzCvevwwPZGIiPQY8onQp6Oe0NDjrrvuYtmyZcN3QyIip4jne4eCQ5YOJ4Pne5RZMWyzexel9R2b+dxz3+ZVZw+BndMJPXklZiZ21PNNr4zy3Dc+oGZpEZFhtmzZMpYvX9779aD3NEB3o/O8efN44IEHDvt+R0cHN954I48++ujJnH7ESqfTFAoF7rjjjuG+FRGRU8I0TCqCpUyw40ywy4lZYZJOJykng+/7zCufza+vaOSvz/ggxvTdZN/3U4qzXsSn759L7WzLsObZXaf4KURE5M3uuOMOCoUC6XT6mMcNODQ8+uijrF+/no0bN/LII48c9lp5eTnf+c532LZtG5s2bRroJUasYDBIMBjU0iQROe2EAzYT7HLGBcsYHyzHw+NAsYO8VyRs2iydcT3/U/NVqqNTyF++lmzd/zFueo5xpfYR57rx/ifIFDQUTkRkOAUCgd7Ptscy4OVJN910E9/+9rfp6Og4Zs/C7bffri1XRUTGoLxXIFlMk3ZzdDoZbDNIaSCCaZg4vsuKV/+b+15eBQZ8OPRuHv5uHMM//GdVk8pD3P/Z7qFwhqGlSiIiw2XItlztyRpjpclZREROTMi0mWjHGRcsY1ywDIADxRRZt4BlBPirM99Py9xGakpn8h/Zn+G8539wKw4edo69HXkW//OTPL9/L5miqg4iIiPVgENDRUVFv45LJBIDvYSIiIxwhmFQHowxMRRnXLCU8mCULjdDe7EL1/eoikzhoYu+zD0zP41Z0UX23b8gf3Ervun0nmNPe54rbnmUi2/5BS0vvMz+VFbbsoqIjDADDg3t7e089dRTxzxm06ZNaHMmEZGxzzaDTLDjjA+WMz5YTsAwOVhMkXXzmIbJx6fO57eX3ce14y6heOHTZN7zM9wJew87x572PB++5zGqPvsT5tz8U9ZvOzBMTyMiIm824NCwePFirrnmGh544AFSqdRhr6VSKe677z5qa2v54he/eNI3KSIiI59hGJRa0e6qg11KPBgj7WZpK3bi+h5TQ+P43gW3srTyU5jhAtnr/pf83LX4VrH3HD0Fhtfasnzsm7+l6DoaCiciMgKc1JyGFStWcOONN2IYBlVVVcTjcRKJBMlkEoDvfOc7LFq0aLDuddipEVpEpP+6nCwpJ02XmyPt5Ci1IkQDYQAO5Dv44ubv8d/tT2B0xQituxJr9/QjzvHA52u48wcv8FpbVkPhRESG0PE+5570cLdEIkF9fT1r1qzp/d78+fNpbGzk0ksvPZlTjzgKDSIiJ8bxXJJOF2k3R8pJY2BQZsWwjO4tq+9/7nd8Zef3cCJpgolq7A3zMArdwWJShY3v++xLvl6JmF4Z5TfL38X40rAGw4mIDKIhDw1vdLztV0c7hQYRkYFJO1lSboYuJ0vazRE1w8QCYQzDoKOQZvnW/+DBA48SyEcIrruc6Z3n8JWPn88N/9ja5/mmVkT4wWffwmWzJpziJxERGZuGbMvVvoa2jeXA8EbFYpFisYjrusN9KyIio0LMinRvz2qXURkso+AXaSt2UvQcyu0Y35iziB9ddCdnlpeTe9uvqfr4BqqrA0ypCPd5vl3tWa77agvrtu4/xU8iIjK2uK7b+9n2WAYcGsZSr8KJisVi2LZNQ0PDcN+KiMioETACVAbLmGCXM94uJxII0uak6HQy+L7PFfHzWF3byGfOeD9r2v7Ata238u6PdTK5ItTn+VzP56P/73c4jneKn0REZOxoaGjAtm1isdgxjxvw8iTTNFm4cCGNjY2cffbZAznFqNNTtkmn0wSDQUzTJBAIDPdtiYiMOp7v0eGk6XKydDgZPN+jzIphmxYAz3Ru5wubm3ku/TJXl5/PF6f+BZ9r2sq+jsIR55ocD/Mfn3+bGqRFRAbAdV08z6NYLBKLxQa/p6GyspLGxkY2btyIYRgsXLiQa6655qRvfCRTT4OIyODKuYXu8OBm6XQyhM0QpYEIhmFQ9By+s/MX/P3LP8YwDD5a8j4e+k4M3zuySD61Msxvl/0RE8oiapAWERmAIWuEXrNmDddee23v1z/60Y9YvXo1M2fOZPHixZSVlQ38rkcohQYRkcHn+R4pp7tJOuVmKHoOZVaMkNn99+zWzGvcsvl+1qdeYnbwbNKPzKXjtZI+zzWtMsIPPvdWVR1ERE7QKd09CWD79u00NzfT0dHBRz7yEd75znee1PlaWlpobm4mmUySSCSoqqqisbGRmpqaEzpPU1MT69ev5/rrr6empoaqqioSiQTNzc20trayevXq455DoUFEZOjkvQLJYpq0m6PTyWCbQUoDEUzDxPM9vr+7ha9t/08KXpGSFy+hsHEOhnfkEtGplWGe+/oHMA2TtnSeylhI1QcRkeMYst2TjmbcuHGMGzeO1atXM3/+fGbNmsV99913xNTo/mhqaqK1tZWVK1eyevVqtm3bRlVVFbW1tSxduvSEz7dq1SoWLlxIdXU1hmFQXV3NqlWrWLly5QmfS0REBlfItLt3WAqWMS7YXa0+UEyRdQuYhslfTr2OX9Xey1viF9B+zkaK7/sF7rgjd0/a1Zbjx5u2MufmnzLjMz/m/JsfZvXTuzRRWkTkJAy40rBp0yYuueSS3q8fffRRmpubWbVqFb7vU1VVRX19PYsXL6atra23+tDY2NivpUs9VYDGxsYjXqutre2tDsyfP79f99tTaeiZWF1TU0NdXR2LFy/u9zOr0iAicmoUvCLJYhdpL0eqmMEyLMqsKAHDxPd9frzv99y57ft0OGnKEhfgrLsIw+3+e3lihQ1vGgoHMCUe5oefe6tmO4iI9GHIlie9613vYuXKlaxYsYLm5mYSiQS+77NgwQJuv/32PqdBd3R0cPfdd/Onf/qnhwWOvixdupR58+axYMGCI17rqRgsWLCg31WCpqYmFixYQFVVVb+O74tCg4jIqeP7Pl1ullQxQ6ebJecVKA1EiAS6t2A9UOjgjm3f42f7n8DKlGI9fiVn5Kto+Picow6FC5gGv/zyfC6fqeAgIvJGQ7Y8afXq1VRUVLBkyRJ83+eee+6hvb2dhx56qM/AAN3D3+655x4efPDB456/tbWVhQsXsmLFiiNe6+lnaG3t+x8FEREZ/QzDoNSKMjEUZ5xdSjwYI+1maSt24voe4+1yvn3eX/Mvc77AuLhFbv4j1HzqRc6fHT7qUDjNdhARGZiT6mm49tprWb16NVu3buXWW2897kToHTt2sGPHjn6du66ujng8zty5c494LZlMDuBuRURkNAqaFhPsOOOD3UPhbNPiQKGDjJsD4F3j5/Kruffy0cnX8ODeX3Nt6xI+8gnvqMFhb0eOOTc/zPptB07lY4iIjGoDDg0LFizgkUceOWzb1f68p7q6ul/HLlmyhPb29j53SdqwYQPACe+glEwmaWpqYunSpSxdupT6+npWrVp1QucAekdtv/GX67onfB4REem/EivCRLuCymAplXYpWS9PWzGF47uUWzGaZi/iwQu/RMS0+erBFcz6RCtNn6mmr32TdiezfPybv2NfR1YN0iJy2nFdt8/Ps8cyaHMa+vueRCLBokWLBnLJXnV1dbS0tLBx48Z+B4empiZWr17NypUricfjvd+vrq6mvr6eJUuWHPccPWu9+nLXXXexbNmyft2LiIicnPShmQ5dTpa0myMWiBA1QxiGQdbNc+/LK7l/5/9QZkX5y5IP8dPvhzmQ6vsfxOmVUb7/ubdotoOInDaWLVvG8uXL+3ztlM1pGGotLS3U1dWxZMmSPndWOpqeGQ9vtmLFCurr6/sVQHpCQzqdPuI30zRNAoEj9wsXEZGh4fpu71yHlJPG96HMihI0LQA2dW7jls3NvJB+lbeWX8DLP7qItj19/+BnSkWY57/+QSxr0HciFxEZcVzXxfMO7+0qFovEYrGxERqSySQzZsxg/vz5gzZbIZFIUF1d3a+dmLR7kojIyJN183Q4abqc7l2WomaYkkAEwzAoeA7fevVn/L9XfkwAi9Jn55LZVI3hHxkOJsVD/PCzb2XmlDINhBOR084pnwg9lBYuXAgwqMPYkskkFRUVVFVVsW3btmMeq9AgIjIyeb53KDhk6XAyeL5HmRXDPlR1eCn9Krdsvp/Wzi1cHJ1J+//U0LYzesR5TBM8T0uWROT0c8onQg+VngnQAwkMTU1NVFRUkEgkjnpMW1vbgO9NRESGl2mYVARLmWDHmWCXE7NCJJ1OUk4G3/c5J3YGP71kGcurP8Hm3KvsesePsec+h28evolFT7V+Z1uGj/6jtmYVEekxKkLDihUrSCQSRwSGY4WAN1q9ejXJZLLPrVp7wkJfW7uKiMjoEg7YTLDLGRcsZ3ywHA+PA8UO8l6RgGFyw7R382htE1fGz6Xt3PUU3/PfuJV9b726uz3LeTf/VFuziogwCkJDS0tL765Hb9bfRuiampqjNjq3tLQA3TsyiYjI6GcaJvFgCRNC5YwLllFqRUk5aTqcNJ7vcWZkIv954Rf5xux67HiW7Lv/m3zNegzLOeJce5I5PvbN31JwHDzP50BnTlu0ishpaUSHhp7qQn+XJCWTyd4Q8Eb19fVHnUK9cuVKqqqq+rXlqoiIjB4h02aiHWdcsIxxwTIADhRTZN0ChmFw/eR38NvLvs67x8+lOOc5Sj76S8qqDx5xnl1tOX6yaQvn3fxTZnzmx5x/88M8uWW/AoSInFZGbCN0z05JfW2TCt2BYvHixYdVG3rmNzQ3N7N48eLDjm9qagI4LBwsXbqUFStWsGbNmn7Ne1AjtIjI6FTwiiSLXaS9HKliBsuwKLOiBIzun5399/51fGnrv7K/2EHZy+fhrr0Uo9i9PeukChvf99mXfH3OQ8A0cD1fDdMiMmYc73OuNQz31C8LFy4kmUzS2tp61GPmzZt32Nd1dXVs2LChz/6EJUuW0NLSQn19PW1tbSSTSaqqqti+ffthw95ERGTssc0gE+w4ETeLTZBON8vBYorSQIRIIMR7JlzOVfHzaUj8kAf5DYFJLxN84krOyMyi4eNzuOEfD/+3yD1UYdjZluET3/w9v1n+LsaXhrVNq4iMWSO20jASqdIgIjL6FT2HpNPVPRSumMY0ApRbsd6qw2/anmbplu/yan4/7x9/JcurPsFH7nqK3e25Y553emWU733maqoml2rOg4iMOsM6p+HRRx+lsbGRmpoafN9n/Pjx3HLLLUN1uSH35onQmgItIjJ6dTlZUk6aTjdLxslTakWIBsIApN0cjTse5F9e+yVxK8YNZQv5yQ9s9rTnMQ04WiuDli2JyGjTMx16WCdCV1ZW0tHRwcaNG7nkkkvo6Ohg6dKlXHfddXzoQx8aqssOmZ7Q0OOuu+5i2bJlw3dDIiJyUhzPfb3q4KQxMCizYlhG9w+ENqQ2c8vmFWzJvMY1FZdw+9RPkE+G+dsVTx+38jC1IsJzX/8AljWi9xwRkdPcsmXLWL58ee/XwxIampqaaGlp4ZFHHjns+2vWrOHaa68dqssOGVUaRETGprSTJeVm6HKypN0csUCEqBnCMAzyXpF/fOWn/NOrDxMyg3xxxp/xsUnX0pF2+JOvPM7eZOGo550Sj/Dvn3+rKg4iMmKNiErDWKOeBhGRscv1XZLFdG/VwfehzIoSNLv3DHm+62Vu2byCp7oSXF52Lk2zF5HeE+Xzzd39DkdbtjS9MqpGaREZ8Ya1p2GsUWgQERn7sm6eDidNl5Oh080SNcOUBCIYhoHju3z3tf/l3h0r8X2fm8/6MIum/jHprM+2vSn+tvkZ9nf0XXlQn4OIjGQKDYNIoUFE5PTg+d6h4JClw8ng+R5lVgz7UNVhe3YPt26+nyc6nueCkrP5+uzFXFAyg2LR5Z1f/O1Rg4P6HERkpDre59xB/1vrxhtvJBAI8OMf/7j3e/feey87duwY7EuJiIgMCdMwqQiWMsGOM94uI2aFSDqdpJwMvu8zIzKZlRd9maZZN/Bydi9/3Ppl7t7+nzimy7duupTJFaE+z7urPcucmx9m/bYDp/iJREROzqBXGu69915qamqoqqpixowZvd+/7bbbuO6667jmmmsG83KnlCoNIiKnH8/3SDndTdIpN0PRcyizYoTM7n8Hdufb+OLWf+GRgxupikzhvtmLmVd6Du1dhaM2SqviICIjzSmvNMTjcQzDOCwwANxzzz3HnO4sIiIyEpmGSTxYwoRQOeOCZZRaUTqcLjqcNJ7vMSVUyb/M+QLfPu+v6XDSfOip5Xx5279iR12+eeOlTIofWXXY1Z7l3L/9KU9u2T8MTyQicuIGPTTMnz+fxYsXM2vWLG666SZ+/OMfk0qlSKVSbN26dbAvJyIickqETJuJdpxxwTLGB8sBOFBMkXULGIbB+ydcya/n3seHJ76V7+1ezTUbl3Agvp1Hv/Y2JpUfGRz2duS47qstrNuq4CAiI9+gL0+6/vrrmT9/PslkkvXr19PS0kJHRwfxeJz7779/VA5166HlSSIiAlDwiiSLXaS9HKliBsuwKLeimEb3z+IebdvE0i3fZVf+IB+a+BYWBj7Al+/fyt5k/ohzTY6HeeEbHySZLVAZC2lbVhEZFqd896R7772XW2+99bDvtba28tBDD6mnQURExgzf9+lys6SK3Vuz5rwCpYEIkUB3VaHLyXL3jv/i33Y9wrhgGctnfIL77stzIFU84lyT4mH2JnPallVEhs0p72kA2LRp02Ff19TUjKmehmKxSLFYxHXd4b4VEREZJoZhUGpFmRiKM84uJR6MkXaztBU7cX2PEivCV2d+kh9ffBflVozPbv4nJn1kHUTTh53HNGBvMgfAzrYMn/jm79nXkcXra1KciMggc12397PtsQx6aLj11ltZvXo1t99+e+/37r//fmbNmsW2bdsG+3LDIhaLYds2DQ0Nw30rIiIyzIKm1b01a7Cc8XY5tmlxoNBBxu0OApeXn8vq2nv47BkfYEPuWbwP/5zIhdvw8ZkUDx0xRXpnW4bqz/2E87U1q4icAg0NDdi2TSwWO+Zxp2y42/3338/8+fOP2FVpNOkp26TTaYLBIKZpEggEhvu2RERkhHA8l6TTRdrNkXLSGBiUWTEso/vfime7tvOFzSt4tmsH80rO5b5Zi7jhK1vY3Z7r83zTK6P8Zvm7GF8aVq+DiAwJ13XxPI9isUgsFhv8noabbrqJxsZGysrKTvpmRwv1NIiISH+kD8106HKypN0csUCEqBnCMAyKnsOK1/6Hr+9YhWHAR0vfx2/+czx72vqeIg0c1uvgeT5t6byapkVkUA1ZI7RpmqxatWpU74Z0ohQaRESkv1zfJVlM91YdfB/KrChB0wJga2YXSzbfz7rUi1xUUsWd0z7JbV/fyZ4+dliC7uDwb5+9mr/8p8fY2ZZR07SIDCqFhkGk0CAiIicq4+YOTZTu3mUpaoYpCUQwDAPP9/jB7jV8dft/kPeKLCx5F08+NI29B/tuSJwcj7Anme39enpllGfue7+2axWRkzakoWHFihUAbNy4kba2Nqqrq7n++uu5+OKLT+6uRyiFBhERGQjP9+hw0nQ5WTqcDJ7vUWbFsA9VHV7LHeC2LQ/waPsmZkWmcef0T7L87/cfVnWYELfZnzxyCdOUeITdySzTK6P846cu49oLpig8iMgJG9LQYBgGvu9TVVUFQCKRwDAMFi5cyP33309paenJ3f0Io9AgIiInI+cWDjVKZ+l0soTNEKWHqg6+7/OTfY9x57bvkXTSvL/kHTy7qoq9B1wmV4Rp+NQsvvQvL7Gv/fXgEDAN3DdtvzStIsIP/vqtWrYkIidkSENDdXU1jzzyyGE7Iq1YsYIVK1awfft2WltbOeusswZ+9yOMQoOIiJwsz/cOLVfqbpYueg5lVoyQ2f3vyoFCB3du+x4P73+C6aHx3DH9L/njKTWYpsGTW/fzhfufZV97gUnxUJ8TpqF72dJz3/iAKg4i0m9DGhqampq45ZZb+ny9paWF22+/nfXr1w/k9COSQoOIiAyWvFc4rFE6ZNqUBiKYRvcIpUcObuD2Lf/CnkI7H5n0du6s+hgVwRIc12VnKkUo5POny59mT3vfweEnt76D+RdOPZWPJCKj2JBNhI7H48d8ff78+TQ3Nx825E1ERES6hUybiXacccEyxgfLAThQTJHzupcfXTduLr+aex8fm3ItD+39De/ccAv/vX8dViDA2RUVVIZLWf7pmUyqsPs8/2e/u05TpUVk0Aw4NCxcuJDVq1cf85iamhpO0ey4U6pn1LbrusN9KyIiMooZhkF5MMbEUJxxwVLKg1E6nQztxa5DzdJRGmfdwMqL7iAWiLD4hX9g0fN/z958OyEzyNtnTeNnDZex/JPVR5z7tfYsBzv7rkKIiPRwXbf3s+2xDDg03Hbbbaxfv56vf/3rxzxu/Pix14gVi8WwbZuGhobhvhURERkDbDPIBDvO+GA544PlBAyTA8UUWbf7Q/9V8Tm01N7DTdPfy/8dWM87N97Kf+35FQBxO8YH553FxPiRywneeuf/8uSW/RzozKnqICJ9amhowLZtYrHYMY8bcE8DQGtrK3PnzuUjH/kIjY2NfTY933jjjXznO98Z6CVGlJ61Xul0mmAwiGmaBAKB4b4tEREZQ4qec2iHpRypYhrTCFBuxQgc6nV4qnMbX9i8ghfSr/DW+AU0zrqBsyKT2JRo56+bn2Lvm3ocenZY0jA4EemL67p4nkexWCQWiw1+I3SPlpYWbrzxRrZv305NTQ3z58+nurqaZDJJc3Mzzc3NXHPNNSdziRFDjdAiInKqdDlZUk6aTjdLxslTakWIBsJAd7D4550/5x9e/jEBI8DSsz/Cp6b9Ee2pIlff+uujnnNqRYTnvv4BLGvACw1EZIwast2T3mzFihWsWrWKDRs2kEwmqa2t5Z577uHaa68djNOPCAoNIiJyKjme+3rVwUljYFBmxbCM7ir3lsxrfGFzMxtTW7i0dCb3zlzMTV9JsLs9d9RzTolH+PfPa46DiBzulIWG04FCg4iIDIf0oZkOXU6WtJsjFogQNUMYhoHre3xv1yPcvf2/KPoO15e+m7X/NYU9bUVMA/pqZZheGeU3y9/F+NKwZjmICKDQMKgUGkREZLi4vnvYXAffhzIrStC0AHg1t5+lW77Lb9qf5pzoGdw1/ZOUpSfz+eanjjkE7o19Dp7n05bOUxkLKUyInGYUGgaRQoOIiAy3rJunw0nT5WTodLNEzTAlgQiGYeD7Piv3/pbliR+QcjLcMO3d3Dx9Ae/58jr2dhx7evTG7Qf5xDd/z862jJqmRU5DCg2DSKFBRERGAs/3DgWHLB1O5tBMhxj2oarDvkKSL2/9N/77wDrOCk+kvuTP+Nfv5Y/a67DtH/+Ety/7JTvbMr3f6wkTqjiInB6GbCK0iIiIDA/TMKkIlnbPdrDLiFkhkk4nKSeD7/tMtOOsmPM3fHfOzWS9Al888P+Y+6mX+L975jE5HjrsXJMrQuwvdBwWGAB2tmVoS+fxPF9zHkREoUFERGS0CgdsJtpxxh0aCufhcaDYQd7rnuz67vHz+FXtvfzZ5Hfyn3t/xYc3f4k/+wuDKRXdW7dOrgix/NMz8cJZJlccHiamV0bZtreT829+mBmf+THn3/wwq5/epfAgcpoa8uVJ73rXu/jlL385lJc4ZbQ8SURERqq8VzisUTpk2pQGIpiHhsL9tv0Zlm75Lq/k9vHe8Vfwhcl/zsz4eAwDutwsGxIHWfbANva055lWGeH7n3kLf/Gtx46oQEyriPCDv9aWrSJjzSnraUilUkd8r62tjbq6OrZs2TIYlxh2mggtIiIjme/7pJwMnYeapPNekTIrSti0Aci4OZp2rOS7r/0v5VaM5dWf4MMT34JhGN2TqAtpOrMO08vKcfIBLv2bR/q8jrZsFRk7+jsResDLk1KpFNdffz2BQIBAIEBFRcURv6qrq0kkEif1ICNRLBbDtm0aGhqG+1ZERER6GYZBeTDGxFCcccFSyoNROp0M7cUuPN8jGgizrPrjPHzJciba5Xz+pX/m4882sjO3n6BpMT5UxsTSKEm3EzeYZUpluM/r7GzLUP25n3D+zQ+zftuBU/yUIjKYGhoasG2bWCx2zOMGXGn4yEc+QktLC3PnzqWmpqbPY9rb21m1ahUHDx4cyCVGHFUaRERktPB9ny43S6rYXXXIeQVKAxEige7ehbxX5J9eeZhvvvpTbDPIF2f8GZ+YMh/TMHF8l5ST5tntKe54YCt72vverhVUdRAZ7fpbaRhwaLjuuut45JG+y5YDOW40UE+DiIiMNkXPIel0dfc6FNOYRoByK0bgUK/DC+lXuGXzCjZ1bmNe2TncN3sRM6PTgO7lTB2FDM9syfDVH25lz1GGxMGRg+JEZHQZsi1X6+rq+nVcfX39QC8hIiIiJyloWt1bswbLGW+XEzQDHCh0kHG7ZzacFzuTn13yd9xZ9TGe6dpO3cbb+MdXfkrRc4gGwkwMx5l7Xjkr/+5ifn3v1UfsstRjZ1uGj/3j73Ac71Q+noicIkO+5Wptbe1Jvb+lpYWFCxdSV1dHdXU1dXV1tLa2DuhciUSC+vp6li5dytKlS1m4cOGAzyUiIjKalFgRJtoVjAuWUWmXkvXytBVTOL5LwDCpn/4e1tQ2Ma/8HBp3PMgf/+HLPNO5nYBhUhkspTQYIxBxuPuGc3u3bH2zXe1Z5qjPQWRMGvDypO3bt7NmzRpuuOGGYx53MluuNjU1AbBkyZLe79XX17NixQqWLFlCY2Njv8/V2trKwoULWb16NVVVVQAkk0lqa2tpbGxkwYIFxz2HlieJiMhYkHaypNwMXU6WtJsjFogQNUMYhoHv+/zXnl/zd4kfknZz3HjGe/nbMz9MJGDj+R4pJ0PeLeLkLP787o199jtMr4zyzH3vJ5ktUBkLqddBZBQYsi1Xd+zYwcaNG3nooYeYN28eVVVVxOPxw45JJpMsWrRoQI3QiUSC5ubmPoNBbW0tra2trF69mvnz5/frfNXV1dTX1x8WQABWrVrFokWL2L59+xH3/2YKDSIiMla4vnvYXAffhzIrStC0ANiTb+OLW/+VXx7cwIzIZO6btZgr4ucBkPMKdDoZXno5yxfvf4m9ffQ6TIlH2J3MqtdBZJQYstBgmmbvTyR6T2Yc/pME3/cxDAPXdU/4/EuXLmXevHl9VgBWrVrFwoULWbBgAStXrjzuuVpaWqirq2Pjxo197vRkGAaNjY1HBIo3U2gQEZGxJuvm6XDSdB2a7RA1w5QEIr3/xv/iwDq+vPVfOVBM8fEp8/nSjD+j1Iri+R5dbo6uQpbr73qafR2F3nMGTAP3DZOjtcOSyMg3ZKFh5syZLFiwgHnz5h31J/Tt7e3U19cPqNJQV1dHS0sLzc3NLF68+LDXEokE1dXVVFVVsW3btuOea+nSpTQ1NdHe3t7nvVZUVFBVVcXGjRuPeR6FBhERGYs83zsUHLJ0OBk836PMimEfqjq0FTv5u8QPWbn3t0yxK7ln1qeZP677h3AFz+GJrXu444Et7G0vMDkeZk8y1+d1VHUQGbmO9znXGuiJ4/E499xzz3GPW7FixYDOX1dXx4YNG5g7d+4RryWTyRM6V0tLC8BRw01VVZUaokVE5LRlGiYVwVIiZoigaZF2sySdTsJmiNJAhMpgKf9wzk18cMJVLNnyXf7iuXv5kwlXs7z6E4yzy3jbrGn8vKGCPV1dTImV8P67NrC77cjg0LPD0nNf/wCWNeR7sYjIIBrw/7H9WRYE0NzcPKDzL1myhPb29j6XE23YsAHgqEPl3iyRSBy3X0FEROR0Fw7YTLTjjAuWMz5YjovLgWIHea8IwDsqL+bR2iY+NfVd/HT/47xj4y38dN9jAJTbMari4ygaLg2fmnnUrVnfuMOS5/kc6MzheQNa9CAip9CAlyf1VyqVoqysbFDP2bN06Wg9Cm9mGAbxeJz29vY+X+9prD7a8qUeb54I/UaaDi0iImNJ3isc1igdMm1KAxHMQ0Ph1ne8xC2bV7A1u4v5lTXcPetTTA2Nw/d9Ml6ezmKGQjbAx+/5Q587LE0sCxMMGLzWrmZpkVOtZwr0Gx1vIvSQ1wYXLlw4qOdraWmhpaWFJUuW9LvS0F9tbW39Oi4Wi2Hb9mG/GhoaBvVeREREhlPI7Kk6lDE+WA7AgWKKnNfd8Dyv/Bx+WXs3f33GB/l1+1O8c8OtfH/Xanx8YoEw40PllJQYNHx6JhPjR1Yd9qVyvNaeBbqXLX3im79nX0dWVQeRU6ChoeGIz7KxWOyY7zlupeHRRx8d8A2dzJarRzvfjBkzmD9/fr+XR0F3ozNw3ErDtm3bemc49EWVBhEROR0VvCLJYhdpL0eqmMEyLMqtaG/V4dmuHdyyeQXPdG3nivJzuXf2YqoiUwDIuDnac2muX/Y0+9+ww9LRqOogMvQGUmk4bmiorKyko6NjQDd0Mluu9qWnanEigQG6ZzS0tbUN2vIk7Z4kIiKnG9/36XKzpIrdW7PmvAKlgQiRQHcVwfFd7t/5P9z3cve/0V84awGLp78Hywjg+h6Pb9nLlx54kb3tBaZUhHFcn/2pI5ctgYbDiQyHk95ytWdr1bq6uhO++MlsufpmS5cuJZFInHBggNdDwdEetbq6mkQicdTXeyg0iIjI6a7oOSSdru5eh2Ia0whQbsUIHKo6JLK7uXXzCtZ2vMiFJTP4+ux6zi85C4B0Mc9rnSkmlETYsbPIzSueYVdbts/rvHE43Pc+czVVk0sVIESG0EmHhrlz5/buVjQQ1113HY888siA3w/d27auXr36iMCQSCSOuZyoR319PStWrDhqJcEwDGpqajSnQUREpJ+6nCwpJ02nmyXj5Cm1IkQDYaB77sO/736Ur2z/D3Jegb+a/j4+f9afEDZtPN8j5WQo+g4xM0I+a/KhrzzOrvbXt2h983C4nq+1dElk6Bzvc+5xG6EH8pP9Nxrolqs9Wlpa+gwMAI2Njf06R319PdAdMt6sZ+bD9ddfP/CbFBEROc2UWBEm2hWMC5ZRaZeS9fK0FVM4votpmHx86nx+Nfde3l5xEf/46k9518bbWd/xEqZhEg+WUGbFSHtZjEieb9RfxNTKCABTKyKHBQag9+ueOQ+O4x1xPyIytI4bGmbMmHFSFziZ9/csR+pvcEkmk72D3N6opqaGqqoqHnzwwSNee+ihh4jH40dMnRYREZFjs8wA4+1yxgfLGG+XEzKDtBVTpN0cvu8zNTSO751/K98697O0OZ38yVPLuWPrv5F2c4TMIOOD5ZiYTJsOv/jKPNZ94xo2Nr2b6ZXRo17zjXMeROTUGfI5DQPVs1PS0ZYfJRIJFi9efFi1oWd+Q3Nz8xEhoLW1lWuvvZaNGzf2njOZTFJbW8vKlSv7tX2rlieJiIj0zfXdw+Y6+D6UWVGCpgXAwUKKu7Z9n5/sf4xpofE0zbqBd1ReDEDBc0g5aUzDpNyKsvmVLJ/99h/Y2ZY5YqlSj6kVEU2WFhlEJ93TMFx6AsCxrFy5kgULFvR+3dTUxN13382aNWv6DAGJRIKlS5dSVVXFuHHjWL9+PfX19cyfP79f96TQICIicmwZN0fKydDldO+yFDXDlAQiGEZ3A/Pqg63ctuUB9hTaWDDxrdxV/XEqg6X4vk/azZH2spQGIkTNCG7eYteBAp/45u/Z1X5kw/SUeIQffu4tapIWGQSjNjSMRAoNIiIix+f5Hh1Omi4nS4eTwfM9yqwY9qGqQ6eT4avb/5Mf7G5hfLCMr8z8JO8dfzmGYVD0HFJOBsOAMitGLBAmRoSLbvkFu5NHBgc1SYsMDoWGQfTm4W4a6CYiInJ0ObdwaHvWLJ1OlrAZovQNVYcnks9z65b72Z7dwx+Nm8tXZ36SyaFKgO6qg5slGghTEgiz9eU8i/75yT4rDj20ZEnkxPUMejvecDf9XzUAsVgM27ZpaGgY7lsREREZscIBm4l2nHHBcsYHy3FxOVDsIO8VAbgyPofVNY185oz3s/pgK+/ccCv/uftX+L5PLBCmMlhGwXM4UOjgzDMD/PrutzM5Hjnq9dQkLXLiGhoasG2bWCx2zONUaTgBqjSIiIgMTN4rHNYoHTJtSgMRzEND4Z7uTPCFzSt4Pv0yV8fP595ZizgrMgmArJun080SNm0Sr+T520ND4Y7WJK2J0iL9199Kg0LDCVBPg4iIyMD5vk/KydB5qEk67xUps6KETRvonjb97Z2/4O9f/hGmYbL07Ov59LQ/ImCYuIeGwjm+Q0kgQjEb4ECbx6e/tfaoTdKaKC3Sf+ppGEQKDSIiIiev4BVJFrtIezlSxQyWYVFuRXurDlszr/GFzSvYkNrMpaXV3De7nnNjZwCQ8wqknAwhM0hpIEKEMFcubTmsSVoTpUVOnELDIFJoEBERGRy+79PpZugsZul0s+S8QncICISA7h2YvrdrNXfv+C8KXpHPnfFBPnvmBwiZQTzfO1SpKFBqRdn6cp7PN2/itbYsUysiapYWGQCFhkGk0CAiIjK4ip5zaIelHKliGtMIUG7FCByqOuzM7ee2LQ/wq/anOCc6nftm11NTNhOAvFck5aSxzAAlRgQnH+CM0jgX3/oLdrZljnrNKfEI37rhcq69YIqWK4kcotAwiBQaREREBl/PYLeUk6bTzZJx8pRaEaKBcO/rP9r3e+7a9n06nDQ3THs3S85eSDQQxvd9utwsWa/7PbFA5ND2rOuOOVEaYFpFhB/89Vu1XEkEhYZBpdAgIiIydBzPfb3q4KQxMCizYlhG906F+wtJ7tj2PX6+fy1nhifSOOsG3lZxIQAFzyHlpDENkzIrStQM4eWDbN+XPupEaejeaek3y9/F+NKwqg5yWlNoGEQKDSIiIkMv7WRJuRm6nCxpN0csECFqhnqHwv3fgfV8ceu/sLeQ5E8nvYM7qj5KPFjSW7HIeDligTAlVoSyQJQQIebc/HCfE6V79DRJ184YR1s6r52W5LSj0DCIFBpERERODdd3D5vr4PtQZkUJmhYAHU6aryb+g3/f8ygT7Thfm/kp3j1+HgCO73a/B58yK0bs0ETpT37r8WP2OkwsCxMMGLzWntVOS3LaUWgYRAoNIiIip1bGzZFyMnQdmu0QNcOUBCK9VYfftz/Lki3383JuH+8ZfzlfmfmXTLTjve/tcrNEA2FKAmFKzChPvpTks99dx2vH2GGph4bEyelEoWEQaSK0iIjIqef5Hh1Omi4nS4eTwfM9yqwY9qGqQ9bNc+/LK7l/5/9QZkW5q+rjLJz0NgzDwD30Xs93KQt2Vx3KzBiptMtb7/zf44aHNw6JU+VBxqL+ToTWJsUDEIvFsG2bhoaG4b4VERGRMc80TCqCpUyw44y3y4hZIZJOJykng+/7RAIh7qz6GD+75O+YbFfyt5u/w0efvYdXc/sJGCaVwVJigQjJYpqDhU4OFDsIxVy+/7m3ML0yCnRXFSaUhQ67bsA0evsgdrZl+MQ3f493lJ2YREarhoYGbNsmFosd8zhVGk6AKg0iIiLDy/O9Q8uVsnS4aRzPpcyKETK7fzJa8By+9erD/L9XfkLQsLh9xp/yF1OvI2CYve8t+g6lVpSSQJiyQIyurEdlLMTG7Qf5xDd/z862zFGHxG3/1oeojIXULC1jRn8rDQoNJ0A9DSIiIiND3isc1igdMm1KAxHMQ0PhXkq/yhc2r+APnVupLZvF12fXMys6DYCcV6DTyRA0LcoCUUqtKGVWFMMw8DyftnSeeMTmwlt+dljj9PTKKP/22av5y396jJ1tGS1ZkjFFPQ2DSKFBRERk5PB9n5STofNQk3TeK1JmRQmbNgCu7/Evr/0fjTsewvVdPn/mn/CZM95P0LTwfO/QewqHqg4Ryq0Y4YDde/712w70Vh6mV0b53meu5i++9dhhQWJqRYTnvv4BLEsrvmV0U2gYRAoNIiIiI0/BK5IsdpH2cqSKGYKGRZkV7a06vJLdx5It9/O75LOcFzuTr89ezMWl1QDkvSKdToaAaVIWiFJidYeHnvf2VB56liTN+MyPj7j+lHiEf//8WzXjQUY1hYZBpNAgIiIyMvm+T6ebobOYpdPNkvMKlAYiRAKh3tcf2vsblid+SKeToX76e/jCWQuIBEL4vk+XmyXj5SgNRCixopRbsd739vA8n/NvfrjPWQ+a8SCjnULDIFJoEBERGdmKnkPS6erudSimMY0A5VaMwKHKwd58O1/a+q/878H1nB2ezL2zF3FVfE7ve1NOBsOgdyhcPBgjYLy+6cn6bQf42D/+rs8m6TfSsiUZbRQaBpFCg4iIyMjn+35vg3SnmyXj5Cm1IkQD4d5j/nv/Or609V/ZX+zgY1Ou5Usz/pwyK4rv+2S8PGk3SywQpsSKUBaIErMive91HI85Nz/cux3r0fz/9u48vrGzvhf/52jzIls+lp2BLCwjk0BZChw70NtCW5gjoC0lkEoz3YBeiqXbWwJliYRL00wYyiAnQC+U3isNcCmUcmekEtJeyiINS+H+WrClsgVKEp0hJJNJZmz5WB5Jtrbn94f8nNFuSZZsS/N9v156JSOd5XnOeSw93/NsT5oYxj+89aV40Y3X9CyvhHQLBQ1dREEDIYQQ0j/yxcKVVod8CgIEWAxmGLZbDtZyl/Fe5e9x5olv4skmK07e+Ca8Ymq2tC8rIJlPgYFdaXUwjMGgK+1bPUh6K1/ApeRWTRr0OgGn3/6rsD/vOhrnQA40Chq6iIIGQgghpP+k8hkkC6W1HVKFTZj1IxjVDUEQSpX4byZ+AM+Dp/Do1gpee80v470zb8SUyQIASBc2sZHPYNQwhHH9iDbTUvn0rHyNh2bdlq6fHMFn3vpSGudADiwKGrqIggZCCCGkPxVYoWJdB8YAi2EURp0BAJAqbMJ37jQ++dhXIBrMeO/MG/G6Q78CQRBQ2F4UrsDysBivtDrwfbl8vohnvf0LeGJ9s24abrCO4of3vAZqJkszLJEDh4KGLqIVoQkhhJD+li5sbq8oXVrbwawbgVk/rLU6LK0/gHc94MdDmcfwcusL8IFnvBnXD08BADKFLDYKaQzpjKVF4YwjGNePavsCwHcfvIRX/FUEhWL96tW14gguqFdmWKJpWsl+oxWhe4AHDdydd96J48eP71+CCCGEENK2IiuWxjrkN7GeT6PIirAYzDBttxxsFXP4yM+/gL955D4M6Yz488O/hzdcK0Mn6FDcbnXIsTzGDaPaDEtDuiv1g+88dAmv/8i3awZK63VCRTBRPU3rR970Ihx57rUUPJA9dfz4cdx1113avylo6AJqaSCEEEIGx2Yhuz1QOoONfAbDutK4Bd5y8OPLD+NdDwTw/csKXmx5FhZvmsczRq8r7VvMYiOfhlFn0BaFK19Qrlhk+Nr9F/CWj38H59cyuG5yZMdpWgEa+0D2HrU09ACNaSCEEEIGC285uJzPYL2QQr5YgMVgxpCu9DufZwV8/NEv4e6Hz4Ax4B1P+x24b/gtGHWG7QXlMtgslqZ0NetHIBrGMKy/0urAB0uLIyY8713/VHdhuGo3WEfxzbteienxYWp1IHuGxjR0EQUNhBBCyGDaKmYrBkoP6UwY149oLQfnMo/j9gdO4d/Wf4znjj0dH7zJheeOHQYAZIt5JPMp6AQdJgyjMBtKA6X5vlyr07RyNO6B7CUKGrqIggZCCCFkcDHGkMynsbE9SHqrmIPFMIrh7fEKRVbE5x7/Ok4on0W6sIU/ecpv4+1PuxXDOhMYY7hcyCBd3MS4fgRjhlFYDKMVC8oBqJmmlQcRjVSPe/j0bS+hrkukJyho6CIKGgghhJDBly3moOYuI1XcRDKXhlEwVIxXuLCVwMKDn0A4EYNt5Fp88CYXXjTxLABArphHMp+GIODKonBGM/RC/TGQ1WMfdnLd5Aju/+AtMBh0O25LSDsoaOgiChoIIYSQq0NpvEIaG7nM9riFLMb1IxjRD2mf/9Olf8cd8U9hNZfEH133Ciw8/XcxZhgBUFr3IVXIYFQ/jDH9MCwGs/ZZPcUiw+rGFl76l1/aMXi4VhzBZ99Gg6VJd1HQ0EUUNBBCCCFXl1wxvz3D0iaSuRR0gh4TBjP0260OiVwSd8Y/g89f/DauG5qC78Y34+XWFwAoDaJO5tNgKF5pdTCMwaBrPPNiq+MeaKE40m0UNHQRBQ2EEELI1Ycxpg2Q3ihkkM6XZksqH69wNvEfePeDn8BjW6u49dBLcNfM62E1WgAAmcIWkvk0Rg2lKV3HDaMYK5vatVr1uIc//Mi36k7XWr1QHLU8kN2goKGLKGgghBBCrl75YuFKq0M+BQECLAYzDNvjFTbyaZw893/wdxfCmDJacGLmj/Caa34JgiCgsD21a57lYTGOwqwbhmgcg0m3c30iny/i2e+4r2KxuOqF4misA9ktChq6iIIGQgghhKTyGSQLpbUdUoVNmPUjMJe1Onxn/T/xrgcCUDIX8IqpWbz/GW/CtUNWAECmkMVGIY0hnVFrdbAYRhu2OnDl3ZYaLRT3pIlh/MNbX4oX3XhNdzNMrgoUNHQRrQhNCCGEEAAosELFug6MARbDKIw6A4DSitEffvjz+J+P/DNG9UO4w/YH+P0nvxyCIKDIitgoZJAt5jBuGNVmWBrSmZqes5WF4vQ6AV/5CxkvfgYFDqQ1ra4ITW1YHTCbzTCZTDhx4sR+J4UQQggh+0Av6DFlsmDaZMG0aQIjeiMS+SQ28mkwxjCsM2Hh8O/iX6T34anDh+B58OM4+oP34Vzm8e1F4MywGMzYyKexklvHpa11qLnLKLJiw3PqdAKmx4dhMOjw6dtegusma2djKhQZXv+RbyOfL2JlYxPFIj0bJs2dOHECJpMJZrO56XbU0tAGamkghBBCSLUiK2I9n8LlfAbr+TSKrDRbkmm71SFXzMP/6BfxoYf/EYIg4PanO/Hm638DBkG/PbVrBpvF0uBqs34EEwazNrVrM/l8Ec96+xfwxPpmzWfVg6RpVWnSSKstDRQ0tIHGNBBCCCGkkc1CdnugdAYb+QyGdaXZkvh4hYfSj+H2BwL4bvKneMH4DO65yYVfMD8VAJAt5pHMp7ZbIUZhNgxvT+3a/OHkdx+8hFf8VaRiUHT1IOl6q0pTEEGq0ZiGLqKgYX94vV4cO3YMkiRBVVWcPHkSiqJAVVUkEgkAgCzLcLvdsNls+5xaQgghV7Pi9ixJl/MZrBdSyBcLsBjMGNqeJanIivj0hQjef+5z2Crm8Jan3IK3PvW1GNIZtald08VNmPXDGDOUWh3Kp3at5zsPXcLrP/JtXFAzDQdJl6sXRNB0rWQggoZIJAKv14tgMNhRpXBxcRFLS0taxdNms0FRFPj9fsRiMYTD4ZaOQ0HD/nA6nYjFYnC73VhdXcXCwgJEUdQ+V1UVXq8XgUAAPp8PHo9n/xJLCCGEANgqZisGSg/pTBjXj0C3vSjc+c0VvPvBT+Bra9/DjaPX456bXJiz3ASALwqXAgMrrSS93WWp2aJwrQySbuQG6yju/9At1OJwlevboMHr9SIWi2kV/Egkgng83nHQ4PV6a9632WyIRqMVFdBmKGjYH06nE6FQCMFgEA6Ho+F2oVAITqcTkiQhGo3uYQoJIYSQWowxJPNpbOTT2ChksFXMwWIYxfD2LEmMMXz+4rdxZ/zTUPMpvOn6V8L79GPa9K3pwiYuFzIY1Q9jTD9cCiAMtYOfq7W6qnQ55aO3QtCBuitdxfo2aCjn9XqxuLi4q6BhaWlJ69IiSRLsdjtcLldbx6GgYX84nU5YrVb4/f4dt+UBoizLLbcgEUIIIb2ULeag5i4jVdxEMpeGUTDAYhjVWh1Wsuv4y/jf4b5L/4YbhqaxeOM8fs36iwCAwvYg6yIrwGI0l6ZnNYxpU7s2Ur2qdLMggrorEYCCBgCliqTD4dh1f/d+DxrKv0D66SmC0+mEz+dr+f7NzMxAUZQdWyYIIYSQvVKaJSmNjVxme7akLMb1IxWzJH11dRkLD34Sj2fXcPRJv4a/tP0hJo1jAIBMYQsbhQyGt7s5jRtHMK7feVE4rp0gglaXvjrtVM+l0nCVWIqv4DnvuA+H//TzeM477sNSfGW/k9SyU6dOtRXwud1uAMDJkyd7lSRCCCGkLYIgwGIw49CQiCnTOESjGalCBoncBgrbazO8YmoOX5+7B3/w5CM488Q38bLld+GLl74DABjRD2HaaEGBFbGSW8dqLolLWRXZYq6l8/M1HnQ6ATfPTOP+D92Ccx+7Fd+865U1XZceW8vg2e+4D+EfPEbrPBANBQ1XgWKRaU8UAODRRBpv+Oi3++aLoNUxJ5wkSQCAWCwGVVUBAIqiwO12Y3JyEoIgYHZ2tmKcSyQSgSAI2mehUKjimHwgttfrhdvthtvtRiQS0T6vd/zFxUXt5fV6tePb7XYsLi7WpDsUCtWcg6efp2F2dhYzMzMQBAGKoiAUCmnHdzqdNWN3qtM1MzOjbROJROB2u+umiw8u5+eqNyao3rVzu92IxWJt5avTNCqKUnEvy68xP5/dbocgCNr9XFxc1D5zOp1170M5r9erXfOd7mWzfNSzm3y3ep5mx2nnHrWKX6/JyUmthbiVst/KfenF9erX60z6m1FnwLRxovQyTcCo02Mlu450obTWgsUwisWb3owzv/gXMOuH4frJX2P+xx/GE1tr0Ak6TBrHMG4YxXoujZVcEhe3VKznUmi34wgPIqbHh3GDdbTm8wtqBrfe8w08++1f6KsHjaSHWB/weDwMAIvH4x3t7/P5WDQaZT6fj3k8HubxeJjL5WLBYLCt42SzWQaApVIpls1mK175fL6jtO2FS8kMG3v9Z2tel5KZ/U5aW6LRKJNlmYmiyAAwSZKYx+Opux2AumXG5/PVfT8ejzNRFFk4HK45nt/vZ6Iosmg0WvG+x+OpKUP8+NXbMsaYLMus0Z+cy+VikiTVPe/a2lrF+w6HgwFgDoej5jyyLDNJkmr2aZYuSZIapsvv9zdNd3k6XS7XrvLV7rWLRqPM4XDU5EUUxYr3PB4P8/v9zOFw1Nx3WZaZLMsN88ZYqWz4fL4d09NKPtrdvlvn4WWmnnbuUSvavV7t3pdeXK9+vM5kMOQKeXZpS2U/Sz/OfpCMsx8mFfZw+gl2PrPCzmdW2EOXz7M/uf9/MN1XXsEmzr6WfehciD2avsTOZ1bYI+mL7McbD7P/WH+QPZQ6zx7fTLBMfqujdHz3oUvsprd+vm5dYez1n2XPetu97Ak1zQqFYpevANkv+Xy+pi6bSqUYAJbNZuvuc9W0NHi9XrhcLvh8Pvh8Pvj9fu1JWLvMZjNMJlPF68SJEz1IdXdYzUM1TxFusI7Cat55tcmDhE+9e+7cOfh8PsRiMSwuLmJychKBQED795EjRxoeg7daWK1W7T1FUbTjyrJcsT1/2ujz+bQWDKD0JH5xcbGmCxQ/fr3WkUYtJqFQCIFAAMFgsOJ9l8sFq9Va83TTbrcDgDaFcLlgMIhYLAan09lSuiKRCBRFqZsuoHSdeHevQCBQ87mqqlrXsepjt5uvdq9dIpHQ0lae3mputxvnz59HKBSqOafP50MkEqlpWdrp/M1av5rlo93tu3meetq9R61q9Xqpqtr2fenF9erX60z6n0Gnx7RpAtNGC6ZNExjSGZHIJZHabnUY0Q/hL2x/gP/7whO4bsiKdzzgx+/98P34eebi9iJwZkwYxpDKb2Ilt45LWRVruQ0Ut7s7termmWnc/8FbcK1Yf2amRxNpzNx2r9a9uVhkWNnY7JseC6TWiRMnauqyZrO56T5XRdDgcDgQDodrvvR5l4bq7hQ7SaVSyGazFa877rijiynuLp1OwKdve4kWOPCZEfppMDQAeDweyLIMURTh8XgQj8fhcDigqircbjfm5+exurqKU6dOafvUq0SWi0Qi8Pv9CAaDdSsFvFJ69OjRivdFUYTD4aiptHZifn4eNput7rgNWZZx5syZuvtVBwzl6YpEIjuWa1VVEQ6HawKlRsf0+Xw1n505c6bh/p3mq1XlAUszNpsNm5ub2hot5fg1XFpaanqMncpRv+rFPVJVteXrJYriru5Lv+j13wLpf2bDCA6ZRFiNFliNFmwVs1jNJpEr5gEAzx+fwb+88P24/WlOfGf9P/HyqAcfP/8lFFgRQzojpowWGKAvjXXIruNiVkWm0HyK1WoGgw6ffdtL63ZV4h5NpPG7H/5XPPvtX6gYI0lBRP+54447auqyqVSq6T7N5+saEI0qFryyc/LkyZonQM0Yjca+mz2JD3rqx9mTGrHZbHXvG38ibrPZGj4dTCQSCAQC8Hq9TadyjUQiDY/TTplpRFVVrfJbPkaiPJ2N+jw3et9utyMUCiESidQNLDie9+pWiXoWFhYwOzuLWCzW9Jjlaes0X/yal6vXGtLOzFjVAU8sFoOiKNpxm/Ur77TPeXU+5ubmmj6tbjXfuz0Pt5t71EwikWjrqXz5mirt3JduXa9O99vv60wGj17QY8pkwUjBBJPOgMv5NBL5JMy6EZj1wzDpDPizp92K35x+Ed71YAB3xj+N+y7+Gz54kws3mW/AuGEUw0UTkvk0NovryBbzpelZjWbohcaLwpXjdYWv3X8Bb/n4d3C+zsrSF5Ob2v/zIKJ6utbZw1MDVd8YRHq9Hnp9a+WCuypaGhrhT8PabWnoV+UzJ/STVn7Qy/H1GZpVKr1eLyRJ0loL6p2D/5DvplvCTvh5rVar9iSy/OXz+RCPx9s6Jq/YNNuv0YKHjfCnweXdsSKRSE0LDLebfFmt1rqv3VJVFU6nEzMzM1heXoYkSS2tHq4oSkfTNZenXVEUHD58GE6ns2EFsdN8t3ue8nzx/btV9oDWW4DKt+/kvnTjevXzdSaDa1Q/XGp1MFkwbZxAluWxmksiu93qcJP5Btz7/ON478wb8ZPUz/GK2Lvx4Yf/EdliHkadAVbjOExCqZtTIpfExayKVL628t+ITidAft51+PGHXwvlo7fi+snmi8ldTG5qwUW9lgiagWlwDHxLA+93Ho1GG/6QJRKJPU4VaUcoFGqpEgFc6SMNlJ6ON7KwsABJkjA3N4dIJAK73V7zw82DhXaDlnaUByS7XUeE4+mdnZ2t+UxVVe2Jabvn4zO+qKoKURShKErDrkm7yVe97iq7DdxisRiOHDmCubm5titozfLZTHk+JEmCLMuYmZlBLBarm4ZO893ueeodu1tlDyh1KWq1FWg396Ub16vT/Q7CdSaDTSfoYDVaMKobhlFnQKqQgZrfwLBuCOP6EegFHf74+lfhFVOz8DxwCvc8HML/vfQdfPCZbrxgfAZjhhEMMxOS+RQ2s1lkDXlkilmIhjEYdK09XdbpBFwzMYzPvPWlba0uXd0Sces938D1kyP4zFtfSgvG9bmBb2kIh8Na83A1HizMzc3tcapIO2RZrjsIt575+XkApe4ozSoC5YN3z549qw14rnfuRuUH6LzrSnk6bDZb08Ck3XPw7h71yrWiKAiHwx0tesdXUA8EAjs+fe9FvnbD6/VCVdWaLmXVaag38HZ1dbUrrU02mw0OhwOKovS0dbPV8xyEe7Sb+7Lf+uk6k/41rDfhkEnE1PYUrQUUsJJbx9b22gxPGb4G//C8BXz4pv+Gx7MJ/PZ/3IH3Kn+PTGELBkEPq9GCEd0QEtkNrOaSuJhdw+V8pq3pWcvXdLj/Q7fg9Nt/rWKM5DWWnSdVOb+WwR9+5FvI59sboE0OloEPGiRJQjQardsPm/cv5bPRkINJkiTE4/Edn/g7nU6EQiG4XK6WWyb48X0+HwKBQE3lhPeFbxS0dGPWE5/P17Ti0egcjbpUBQIBOByOumXe7/fXHdDcKpfLBb/fj0gksuPT907z1QvLy8sQRbGm8r+8vFzx76WlJcRiMdjt9p5U5Pg962WXt3bO0+17FAqF2vo+bee+HET7dZ3J1UUn6CAax3DNUClwGDOMYD1/Gev5FIqsCEEQcPTJv4avz92D35h+EfyPfhFHoh78P/V+AKXuTtOmCeSKBaxk17GSK734IOuW0tBgYbh2ggi+YBwNnO5fAxM08G4X1dxuN06fPl13n2AwCJvN1lYFk+wPPlVuo0Wf+OBfPp1uI7wiWN0lzePxQBRFOJ3Oih92SZK06Xmrf/ADgUDNIGJ+/HoVzkaVUIfDAY/HA6fTWRMIuN3uhgOVT58+XXNMp9MJSZIqZpAqP3e9ykmzynE4HK7INx//0Ur+2s1Xs2vXqkaDSo8ePQpVVSvywp9wy7Jckb5IJIJIJIJEItGwEtzKwOl6T8tjsRgcDkdFK02n+W73PPV0WvbqicViLc3GVa6d+1L+efl/WzUo15lcvYZ0pVYHvjAcAKzkktgsZgEAh0wiAs/+M5x69tuRKWZx9Afvg+eBU1jPp6AXdLAax2HWj0LNpbCa3cDFLRXJfPuLwgGtBxHVLqgZGvPQz/Z0JYkO8QVzmi2uwxfn8fv9NZ/5fL6axYY8Hk/dBbua4Yu7NVr0gvReNBplLpeLORwObSEzSZKYz+drukBSPB7X7jnqLAwXDAa1BeEA1CxUxhcSczgc2gKB5WWn2fHD4TBzuVzasWVZrltOw+EwczgczOVy1T0H5/f7tb8Hv9/P/H4/83g8zOFw1JTzTtO1tram/d3x68GvryzL2v+XL/7Gt6tO80752u21i0ajWv75dvwY5Yv1+Xw+JkmSlg5+raLRKLPZbEyWZRYOh7W88+2q89IoPY3ywdMmSVJF2jvNdzvn6XbZq4fvi+0FB/n3LX/xxTn5+auvaav3pdvXq9+uMyHltgpZ9sRmginpx9j31h9i9yd/xh5JX9QWhbs/+TP2u9/7K4av2NmTv36U/e9Hv6x99kj6Irs/+TP2vfWHWDz1GHtiM8E2C50tCtdIoVBk4R+cZzfe9o8NF4wrfz3zrZ9n333oUlfTQNq3Uz1XYKyDEHMP8IVwEomE9hRKFEWtn7bf7694usMHPJ89e7ZhVyR+PD67x0793qvlcjmYTCZks9m+m3KVDI5AIAC3292w2x0he8ntdmN5eRmnTp1qWh4VRUEkEoHb7UY8HqdBwYTsEmMMG4U0NnIZbBQy2CxmMa4fwYj+Svegf137ITwPnMIjW5fwmmv+C07MvBHTplIrxWYxi418GkadARb9KMYMI7AYRqETutcJJZ8v4tnvuA8X1J1nb7rBOor7P3QLdDoBxSKjKVv3wU713AMbNBxEFDSQg4CCBnKQOJ1OnDp1quUHMG63G263m8ouIV2SK+ah5i8jVdhEMpeCTtBjwmCGfrvyny5swvezM/jE+S9jwmDGXTNvwO8cegkEQUCRFXG5sInN4hbGDaMY049gwmDGsN7UtfQtxVdann3p3MduxbmLlyu2//RtL6FZl/bITvXcgRnTsJdyuRxyuRwKhcJ+J4UQQvaV1Wptq8XWbrfTNNeEdJFRZ9DGOUybJmDU6bGSXUe6UJr6dFQ/jLtm3oD7XnAXDpkm8Laf/i1e/yMfzm+uQCfoYDGMQjSMI5XfxKXsOi5lVazlNlBk3ZnpqNUxDzdYRyGOmLSAAShN2UqzLvVeoVDQ6rbNUNDQAbPZDJPJhBMnTux3UshVqNFgbkL2Q7szQUmS1NO1Twi5GgmCgDHDCA6ZJjFltMBqGkemuIVELok8Kz3gnLXciC9LJ/H2p96Kb6k/wsuit+NTj30VRVaESWfAlNECo6DHSm4dq9l1XMyqWuCxW/UGTt97+69rC8fxFgU1k9UCBq581iXSGydOnIDJZILZbG66HXVPagNvtkmlUjAajdDpdG0vwU1Ip2KxGObn5ytmmpFlGcFgsOdTeBJCCOkfqXwGyUIal/MZpAqbMOtHYNYPa5//JPVzvOuBAL63EceLLM/E3TfN4xmj1wModXdK5tMQBMBiMMOsH4ZoNEMvdL++Uz12oVhkeM477qsJHADguskR3P/BW2Aw0PPubisUCigWi8jlcjCbzTSmoRtoTAMhhBBC+kGBFaDmUqWxDvkUGAMshlEYdYbtz4v4+PkvYfFnZ1BkRbz9ab+DP7nh1drnqcImUoUMRvXDGNMPY8Jghtkw0vN0L8VX8Icf+RYeW6sdPH2tOIKPvfnFOPLca2mAdA/QQOguoqCBEEIIIf0kXdhEMp/G5XwaG4UMzLpSq4MglCrdP8s8gdsfCOD/W/8xnm1+Gj50kxvPGz8MAMizQingALvS6mAYg0HX214WO826dP3kCD7z1pdi9vAUzbLURRQ0dBEFDYQQQgjpN0VWLM2wlN/Eej6NIivCYjDDtN2qwBjD5x7/Ot6r/D3ShS38t6e8Gm9/6u9gZHsWpXRhExv5DEYNQxjXj2gzLfHAoxeatTgAwCHLMIx6AefXMjTLUpdQ0NBFFDQQQgghpF9tFrLb07NmsJHPYFhXCgJ45f/CVgJ//tAn8dXVKA6PPBn33OjCL4m/AKDUnSmZT6PA8hg3jsKsG4ZoHINJ17v6UCfrPACg1ocOUdDQRRQ0EEIIIaSfFbcr/5fzGawXUsgXC7AYzBjarvwzxvDPK/+OOx76FFZySbzhWhl/fvj3MG4oTZOaKWSxUUhjSGfUWh0shtGetTqUr/Owk3tv/3Xc9onvVqzxQF2YWkdBQxdR0EAIIYSQQbBVzELNpXC5kMFGPo0hnQnj+hFtRehEbgN3xT+D0MVv4VqTFR+48Y8hT5UWZeSBR47lMW4Y1WZYGtJ1b1G4csUiw9fuv4C3fPw7Wnek6kXibrCOgjGG82Xdmaq7MH3kTS+iQdRNUNDQRRQ0EEIIIWRQMMaQzKexsT1IequYg8UwiuGyyv/XE9+D98FP4PzWCl53za/grpk3YMpkAQBsFXNI5lMw6PSY0JsxZhiBxTCqBR7dVj5Fa/TcasXK0R9504tw6z3f2PEYNIi6MQoauoiCBkIIIYQMmmwxBzV3GaniJpK5NIyCoaLyfzmfwQd+9n/wqcfCmDSO4cTMG3HLNb8MQRDAGMNGIYPN4hbGDSMw60cwYTBjRD/U83SXBxEAGq7xUK26BeLv/vRXYHvy+FUfQFDQ0EUUNBBCCCFkEJUq/2ls5DLbQUAW4/qRisr/0vpP8c4HAohnHoNslXDyxjfhuqEpAEC2mEcyn4JO0GHCMAqzobS2Qy8WhWukfPxDvS5Mjeh1AgpFdtXPwkRBQxfRitCEEEIIGWS5Yn57hqVNJHMp6AT9duW/1OqwWczifzx8Lz72yD9hRD+Evzj8+/iDa18OnaADY6y0KFwxg7GyQdKjZatR91qjLkytuhpXnm51Reir54p0kdlshslkwokTJ/Y7KYQQQgghXWPUGTBtnCi9TBMw6vRYya4jXdgEAAzrTPAePoZ/kf4Kh0eejHc/9Akc/cH7oGQuQBAEjBlGYDVYsFnIYSW7jpVsEqvZJPLFwp6kX6cTMD0+DJ1OwM0z07j/Q7fg3tt/HddPllazvsE6imssjbtOPbaWwbPfcR+W4it7kt6D4MSJEzCZTDCbzU23o5aGNlBLw8EUCoUQDofh9/v3OymEEELIwMgXC1daHfIpCBBgMZhh2O5ylGcFBB79Ij74cAgA8K6nOTF/w29qn6cKm0gVMhjVD2NMPwyLoTRYej80aoHgXZOq8XUfdDqhYt9BHPPQaksDBQ1toDENB9Ps7CxisRioKBNCrhZOpxOxWAwAIIoirFYrAEBRFG0b/n4ikYCqqtr74XAYNpttT9PbjKIo8Hq9AKCld2FhAZIkNd3P6/UiFotBFEUAgNvthizLNcf2+XxQFAWSJGFhYUHbvplIJIJgMIhIJFJxfb1er3aOxcVFyLK8YzoHQSqfQbJQWtshVdiEWT8Cc1mXo3j6AjwPBvDv6/+JXxw7jHtucuM5Y08DUAoskvk0iqwAi9Fcmp7VMAbj9mrU+4UHAvEnNvCGj3677srT5z52K85dvFwxTqJ8zMOgBRM71nMZaVk2m2UAWDab3e+kkG1ra2sMAAPAgsHgfieHEEJ6jn/v+Xw+tra2VvGZx+PRPqvm9/vZQfvZDwaDTBRFFo1Gtffi8TgTRbHhd3o8Hmc2m435/f6K9x0OB4vH49q/o9EokyRJO3Y4HGaSJNVcs3Jra2tMlmUmimLN8RkrXUOPx8Pi8TgDUJHuQZcv5tnK1jp7OP0E+2FSYT9YV9jPUo+z85kVdj6zwh5JX2Qn459jY5HXMMNXX8Xe9pO/ZUrqgvb5Q5fPs/9Yf4j9ZOPn7NH0JZbMpVixWNzvbDHGGMvlCuzG2z7Pxl7/We31rLfdy3K5AnvW2+6teb9QKLLvPnRJ++xZb7uXffX751mhcDDy06md6rk0poH0tUAgAIfDAQA4ffr0PqeGENJtgUAAk5OT2lN1oPSUfWZmZh9Ttb/OnDkDv98Pj8dT89ScX6fqJ+4A4HK5DtRTcVVV4XQ6a9Jls9mwsLCA+fn5ihYSvs/s7Cy8Xi9cLpf2figU0l6c1+vF2bNntWPLsgyfz4eTJ0/WTY+iKDh8+DASiQTOnTtXcXzO5XLh2LFjV2X50wt6TJksmDZZMG2awIjeiEQ+icv5DBhj0Ak6vOE6O742ezd+bfIX8T9+fi9eEX03ltYfAACM6IcwZbSgwIpYya1jJbeOS1kV2WJun3MGGAw6fPZtL8UN1tKq17xFQc1kawZRP5pIY3Vjq2KA9aOJNG695xt49tu/gPAPHkOxTnenQUBBA+lr4XAYp06dAoCKHwtCyGAIh8NQVbWi200sFoOiKBXvXU3C4XDdCi1Q6lYDoGFwMDc317N0tYt3STp27FjNZ7IsQ1VVnDlzpuL9kydPwmq11uRfFEWIoliR70QiURNUybJcEYByqqrCbrcDAM6ePdu0C5MkSfB4PE3zNshG9cM4ZBJhNVkwbZxAluWxmksiW8wDAK4fnsLfPed2/M2z3oLVXBKv+/5x3PHQp5AqbEIv6DBpHMO4YRTruTRWcxu4uKViPZfa9y7GfND0uY/divs/dAtunpmG1TykBRLcDdZRMLC6MzKdX8towUP5QOpikWFlY7PvgwkKGkjf4n1URVHUnqoFAoF9ThUhpJt43/ZEIoFYLIZIJAJZluFyuQ5Uv/y9oqoqbr755rqfNWtl4Frpzw8AdrsdXq+35kl/Ny0vLwNA3fvIK//BYFB7T1VVLC4uaq3L5WRZxtraWtO8A6XfjXrXwOv1QlGUlsc8+Hy+HbcZZDpBB6vRgmtMIqZNFpgNQ1DzG0jm02CMQRAEvO7Qr+Cbcx/Ea6/5ZXzysa/g5cu34xuJ7wMozcA0bSytKs1bHS5mVWwVs/uZrYqZl/i/P33bS2paIKbHh2uCiXLn1zJ4w0e/jWKRYSm+gue84z4c/tPP4zlVszL1WzBBQQPpW6FQSHtC5Xa7AVT+wBBC+p8kSYhGo7BarYhEItqg2at1tjRFUXZsZeBPzOtp9lm5cDiMmZkZzM7OVgy67qZWjskDC+DKQ6FW8+B2u7XfBqAUdLjdbiwsLFRsp6qqduxG17aeesHL1WZYb8Ihk4ip7SlaCyhgJbeOre0uR1MmC/7mF96CTz3nduRZEX/wow/gz376P7GWu7y9CJwZE4YxXM5nSoHDloq13AaKrLjPObuiXgtEdTBRT6NuTK0EEwcVzZ7UBpo96WCx2+0Ih8PavwWh9GRgbW2t7pMiPovGmTNnoKoqJEmqaBZfXV3F4uIigNJTK7vdDo/H0/F+sVhM65OrKAri8bjWrWJ1dRWKosBmszV9YhWLxXD69GntaV8ikcCxY8cqfqzqpY/33QVKFQn+I8tnD+H7x2Ix+P1+iKKoncPpdGpP66qPbbPZ4HA44PP5tNlF+I9ted5VVcXJkycRCoWgKAo8Hk/DfJanz+Vywe12V3QxWFxcRDwehyiKUBQFN998c03XgE7T2el+5RYXF7G0tKQ9LZ2amsLS0pLWXa5enqrtVxlrNe02m61r97PVMl2vu6HH40EkEqmpbIqi2FZlDyg9WeZBiMvlwtTUVMPrXG8/XgEFGt+fct0oJzux2+2IRCKIRqNdHbsQCoW0cQA+n2/Hp/mt4jPfNfrO5t/pvJrC88fL+dLSEqamphCPx2G32+tW4nna+exHPp+v5tqEQiE4nU7YbDbE4/GW0x+JRDA3N9dy682g2ypmoeZSuFzIYCOfxpDOhHH9CHTbi8Il82m8/9zn8JkLEUwbLXjfM/4rXj39YgiCAMYYLhcyyBS3MG4YgVk/ggmDuWI16oOoWGT42v0X8JaPfwfnq2ZfusE6im/e9UrM3HZvzX7KR2/Fr9755YouTjdYR/HDe14DNZPdt9mYaPakLurl7Elv+tE97MX/fttAvN70o3u6fn2qRaNR5vF4Kt5zOBwMQN0ZL8r5fL6Gs17IstxwdpFO9+PpcjgcNfvKstxwNg+fz8dkWa75TJblmryXp6989hDGrsxEEg6HK973+/01s5YwVpp9pXrWkmZ5lySpYd79fn/Ta1OeDpfLVfNZ9WwojJXyL8ty3WP14t42y58oikwUxbr3D0DdPDWzl2Wsk7Tv9n62W6Z5vqpnAlpbW2M2m23Xs9fE4/GaY++Uv07263Y5aQTbM8n1SjQaZQ6Ho+7MRZ1wuVx1v7MYq5wZj183URS17/jq7zObzdbxdeQzTjX6XiGtKxaLTM1eZo+kL7IfbzzMvrf+EIunHtNmUDqfWWGhC//Knv7N1zN8xc5etbzAouoD2mfnUo+z76/H2Q+T59jD6SfYanad5Yv5/c7WjgqFIgv/4Dx75ls/r82m9N2HLrFCoVh39qUn1HTFe/zFZ3Di++81mj2pB3K5HHK5HAqFvVndkNQ6ffp0RbMzcKWL0k7dFvhToXpPh5o9Mep0P/7U9dixYzVPuILBIGKxGJxOZ8X7kUhE64JRfexgMIjFxcWa8Rt8O/5EDbgy//m5c+cqng4qigK3213z1I33Ga6eXaRR3vmT2kasVqt2X+qNN+FP9+sdW1VVhEIhbbAkx1sB6j2J7va9bZY//rRZluWuPWncqzLWadp3cz87KdO87369J8iJRAJA4wG/rapOS6vXo9X9elFO6mllPMNuSZKEYDCIcDiMaDSKmZmZXY174H/bvFtVufIB0Pxe8/PE4/GafPr9fgQCgbrH2gn/G6cWg90TBAETRjMODYmYMo7DYhzFRj4NNXdZ63L0X8RnIzLrw3+/4bfx1dUoXrZ8Oz534etgjMGkM2DKaIFJMCCRK60kfTGrIpWvXUPhINHpBMjPuw4//vBrm3ZjajYmQq8TcEEt5bO8G9NeKBQKWt22mf1dWaNP8WW277zzThw/frwrx/zEc97ZleNcLWKxWM3gOf6jHIvFoKrqgfsBqFe5EUURDocDoVAIsVhM24Z3U6g3QJDvUz3lYLVIJIJwOFx3nAev+B09erTusVvpM6yqKsLhMGRZbjpzFT+mz+erSe+ZM2ca5oHPhFJ9Dfg1Wlpa6mmf4p3yxystvejr3alWy9hu0t7p/eykTDf6G/Z6vZibm+uoglhOVdWKILsdre63V+WklfEM3WKz2eD3+7WxALOzs5BlGV6vt63B6fw4Pp8PR48e1e63oiiwWq1at8nqY9bLI7/OXq8X0Wi07fzw85LuMOmMuMYkYriQhglGbBQyWMklMa4fxYjehBG9Ce+x/T5efc2L8c4HAnjXgwHce+n/4e4b5/G0kSdhzDCCYWZCMp/CZjaLrCGPTDEL0TAGg06/39lriA+kLsfHRFQvAvfp216ijXe4bnKkZnG5RxNpJFJbNcfrhRMnTuCuu+7acTtqaehAKpVCNpvFHXfcsd9JuSrFYjEsLy/DbrfXvLiDOItSo6dxPN38R5/3T2/242u1WqGqat2KSCKRwOLiIux2e8O5xCORCGw2W91KWTAYbKl/uNfrbXkGkYWFBSiK0nbFKRqNaueIxWIIhUJa3/FezuoCtJY/Pqam17PMtKrVMgbsLu3t3s/dlulyi4uL8Hq9XXkoUG9Kzla0e732opzwc/SypaGaKIrweDzamILZ2dmaFuCduFwuBINBeL1e7d5GIhE4HI6ahz/8/xuVI/7QqF38e5KChu4SBAEWw3arg2kcotGMVCGNRG4Dhe1Wh+ePz+BLL/wreJ5+FEvrP8XLox4EHv0XFFgRBkEPq9GCEd0QEtkNrOaSuJhd09aF6CfVszIBVQOsP3hL3aldrea9GdNxxx13IJvNIpVKNd2OgoYOGI1GGI1G6PUHN9odZH6/H9FoFOFwuObFn6r300Jv/AeQD8DjP1zNnmSWP5Gr5vV6IUkSHA4H3G53zTa80rKbShf/cW8Vf8Jc3u0pEonUtHRU44s/zczMYHl5ec/mR281f7IsIx6Pw+12Y3Z2FoIgaJWfg6S6jAG7S3u793O3ZZoLhUINWys6Ue8pdit2CoCq7UU5iUQiWuvcXgsEAlrrT7tBA1AqT3yxOt6Cxb+nyteVaPWatxuY8XKrqmpb+wYCAQo0WmDUGTC9PbvStGkCRp0eK9l1pAub2udve+rr8NXZD+C5Y0/HXcpncMv3/hL/mXoEQGldiGnTBHLFAlay69oUrbntdSH6GQ8mDAZd3W5MezUYWq/Xa3XbZihoIH2n2Q92eRelfvky5+mcnZ0FcOWHkffjrYf/sNW7DgsLC5BlGadOnYIoijVN+a1Uzpqdl7dStFvZ8nq9CIVCWtobzZfOxWIxHD58GKqqIh6P78m8/J3mj5c33tXioC38VF3GynWa9nbu527LNG+pUBSlq0/Sy2czake7QQPXq3LCn67v5cJtqqrC6/VicnKy4iFOt4IWPtVqefDO7/1OFft2H4iIZbNvVS8m10w8Hr8q1wrphCAIGDOM4JBpElNGC6ymcWSKW0jkksiz0vjQG0evx73PvxPvm/kj/DT1KF4VW8AHfxZCtpiHXtDBahyHWT8KNZfCara0KFwyv/+LwnVLvaldDxoKGkhfKZ/OsRH+1KhfVojm/W/5D764vbJps2b2ZoNAyweinj17Vhv0XI6vttrox7fR+4qiIBwOdzSWgP8o86dzO/3Y8q4c1WMyqtPWzfvcSf4URcH8/Ly24NhBVF3GuN2kvZ37udsynUgkDlQwtrq62nbFtJflZC/HM/Dvk8OHDwMAzp07B7/f33HwNTk5Wbc7qd/vrxh/A1xZObrRAw8+XXEnfD4fRFFsuQtZvzyUOmgMOj2mTROYNlowbZqASWdEIpdEarvVQSfo8F+vfyW+Pnc3fkV8Dj7083/Eq2ILiCUfAgCM6EuLwhVZsdTikE3iUlZFtth8AG+/qNeN6SChoIH0FZ/Pt2OFjs8Sc9AWf6r3I8MHEjocjoofu1OnTjXsM85nFWplPIEkSfD5fAgEAhWVa75vo7Efjbrm8CeknXK5XPD7/dqqvs0sLy9rlc3q98stLS11nJ5qneSPV9QOwsKC7ZQxYPdpb+d+7qZM+3y+rq/AGwqFWq5kx2Ix2O32XY1H6GU52YvxDPwa8LELa2trWkW7U4qi1L2mfJ2O6nsuSRIkSarb/ZR/v506daqjtPCHLABw5MiRHYOCdsZ0kVpmw8j2onAWWI0WbBWzWM0mtS5HNwxfg79/7rvx18/8EzyRVfGa7/0ljsc/g3RhEzpBB9E4hnFDaWamlVwSF7dUrOdSB2pRuEFEQQPpG5FIRJu+sJnyhcnqza7C9693nGbH7nQ/rnxBK87pdEKSpJofOofDAY/Hoy3cVb0P/7xeGqq7gHg8HoiiWLGqK+9D7PV6aypxgUCgZgpYfux6wUSzvIfD4Yrj8zEWrVzDo0eP1gyM5S0Psiw3rCA3SlMr97bd/DmdTiiKonUF2629LGOdpH0397OTMs3HYLjd7rpT8nYqFotpM2O1gn/3JBKJhsHGXpaT6vPy77lejGcIhUKYnZ3F/Pw8vF6v1lWwG+bm5iDLcsVYmFgshtnZWfj9/rr3JxgM1ky5zLtK1Vu4rR189XGg1JWvXitmJBKB0+nsODghV+gFPaZMFkybSq0OI3ojEvmkNtBZEAQ4n/Sr+Mbc3Xj1NS/GqfP/giNRL7619iMAwLDOhCmjBTrotHEOl7Lr2Cxk9zlnA2wP14zoe71c3I00Fo/HtYWc+KveQlCMlRYLErcXAOIvWZZZMBhk8XiceTwe7XNJkrTjhMNhbaEhvg9fvKjT/Ti/368tQuX3+5nf72cej4c5HI6aBaKq8eN7PB7m8XiYy+WqWXitWfoYYywYDFZcj/IFkPhiTQ6HQztH+WJZneZ9bW1NW5iLn5Mv0FS+uFf5YmF8u/Lz+3w+JkmSdg349YpGo8xmszFZllk4HK5JpyzLzOfzaS++eBP/jOeh0/wFg8GKMlmeP76AWaM81bOXZayTtHfrfpbnp50ybbPZ2roejYTD4YqF8MrLSLNywvPP010vP3tRTsrvIV/ksPz7TpIkJssyczgcLR2nGb/fz2w2W90FA7spHo9r30E87a38vfB9+Kt6sbfd4mXFZrNVXNduLGpHauWLebaaXWc/Tz/Bfpg8x76/HmfnUo9XLAr3iUe+xJ70dSfDV+zs977/fvbjjYdrFoX70cY59vP0EyyRTbJCsbDf2eo7O9VzBcYGZATJHthxeW1C6ggEAnC73YhGo/syswm5grc+ud3ugRrESGWsNW63G8vLyzh16lTT6zSo5aQdoVCo5wvSEVJts5CFmr+MVCGDjXwGw7ohjOtHIAilPv7r+RTep3wW//D41/Ekk4j3P+NNeNV0aRFIxhguFzJIFzcxrh/BmGEUEwYzRvR7M23pINipnkuLuxFCrho2mw0ulwvRaLRn8+WTgyuRSODs2bM7VoSpnNRfhZuQXhvWm3BIJyKZN8EkGJEspLGSW4fFYMaQzogJgxl33+TCa675ZXgfPIU//vGH8OrpF+N9z/gjXGMSMW4YxXDRhGQ+jc3iOrLFPMz6YYhGM/QCTZO/WzSmgRBy1bHb7U2n/ySDia8y3CoqJ4TsPT7Q+dCQiGnjBMYMI1jPX8Z6/spA55dOPheRWR9c1/8m/mXlu/j15XfhzOPfBGMMRp0BVuM4hnQmJHJJJHJJXMyqSOUzO5yZ7ISChg7kcjnkcjkUCoX9TgrpA40GKJP9I0nSQE2ZSGWsNe12tRm0ckJIPxnSmXDIJGoLwwHAai6JzWJpoPOofhh3zrwe973gvXiSaRJvf+B/4Q9+9AE8snkJgiDArB/enpkpt70oXBIr2XXki1R3q1YoFLS6bTM0pqENvK8Xd+edd+L48eP7lyByoMViMczPz1fMNiPLMoLBIPUTJl1BZYwQcjXIFnNQc5eRKm4imUvDKBhgMYxCJ+i2P8/jbx75Aj7y8y/AKBiwcPh38UfXvUL7PF3YxEY+g1FDaYzEuGEUY2VjJa52x48fx1133aX9u9GYBgoa2sCDhlQqBaPRCJ1OB72e+sgRQgghhPQSYwwbhTQ2chlsFDLYLGYxrh/FiP7Kw9yfph7BOx8I4D82HsKc5Sbcc5MLN45eDwAosCKS+TQKLI9x4yjMumGIxjGYdDSxTaFQQLFYRC6Xg9lspqChG2j2JEIIIYSQ/ZMr5rdnWNpEMpeCTtBjwmCGfrtVocCK+OT5L8P3szMosAL+7Gm34r/f8Nsw6kpz/2QKWWwU0hjSGTGuH4HFOIpx/Si1OmDnei4FDW2goIEQQgghZH8xxkpBQz6FjUIG6fwWxg0jGNUPa9s8nHkCngc/jm+rP8IvmJ+KD93kxi+Ol6ZPLm63OuRYHuOGUW2GpSGdqdEprwoDETREIhF4vV4Eg8GO58tWFKViyXtFUbCwsNDWnOYUNBBCCCGEHAz5YuFKq0M+BQECLAYzDNvTqzLGcPqJb+Cu+N/jciED9w2/hXc+zaGt3bBVzCGZT8GoM8CiH8WYYaRirMTVpm+DBq/Xi1gsBpvNpi200+kiO7FYDE6nE+FwWNtfVVXMzs7C5/O1PB81BQ2EEEIIIQdLKp9BspDGRj6DdGETZv0IzGWtDo9vJfCeh/43vry6jKcPPxl33zSPXxafDYCPlchgs1hqrTDrRyAaxjCsv/paHfo2aCjn9XqxuLjYcdAwMzMDt9sNj8dT8X4oFML8/DzOnTvX0kwjFDQQQgghhBw8BVaAmktprQ6MARbDqDaWgTGGL658F+956JNYySXxh9cewXsO/z4shlEApRmYkvkUdIIOE4ZRmA3D22Mlrp4Jb3aq5w58+0skEoGiKJBlueYzh8MBVVURCAT2IWWEEEIIIaQb9IIeUyYLpk0WTJsmMKI3IpFP4nI+A8YYBEHAq695Mb4x90E4n/Sr+PsLZ/Gy5dvx1dUoAMCkM2DKaIFJMGAlt45ENolL2XWkC5v7nLODY+CDhnA4DAANWyhEUcTp06f3MkmEEEIIIaQHRvXDuMY0AavJgmnjBLIsj9VcEtliHgAwaRzDXz/zT/DZ574bBkGH/3r/PfjTn3wUq9kkBEHAmGEEVoMFmcL2onDZJFazSRQYLQo38EFDJBIB0HglUJvNVrEwEiGEEEII6V96QQ+r0YJrTCKmTRaYDUNQ8xtI5tPgvfJ/3fp8fG3ubvzxda/CfZf+Db+2/E58/olvgzEGo86AKZMFQzoTErkkVnNJPLG1hsv5zD7nbH8NfNCgKAqtjEoIIYQQcpUZ1ptwyCRiyjiBKaMFBRSwklvHVjEHADDrh/HeZ7wR9z7/OKaMFtz204/hDfcv4vzmqva51WhBtpgvtTrk1nEpqyK33WpxtRn4oEFV1a5uB5QGilS/CoXdNVsxxgbqRQghhBCy33SCDqJxDIeGREwbJzBmGMF6/jLW8ykUWREAcPPETfjK7Em87amvw7+u/RAvj96Ov3ssjCIrwiDoYTWOw6wfgZpLYTW7gYtbKjbKWi36UaFQqFufbcawR2k78BKJRMstEmazuea9O++8E8ePH+/o3IwxXNhKdLTvQXXtkJVWVySEEELIgTCkM+GQyYjhvAlDghHJQhqruSTGDaMY1pkwrDPB8/Sj+K3pF+NdD/jx5w99Evdd/P9w900uzIxeixH9EEw6I5L5NFZy68gih0xhC6JxDCZd/82oeeLECdx1111t7TPwQUMvuialUqmaqah0ut032jw+IIHDk4es+50EQgghhJAKgiBgwmjGiN4EU86AVHETyVwam0JWW9TtOWNPwz+/8AQ+/uiXcPfDZ2CPevHOpzvgvuG3YBD0mDSOIVPIYj2XxqYuh2yxtKq0xTDaVw9L77jjDrznPe+peC+Xy9V9MM4NfNBgtVqRSOxcGbdaW6/oGo3Gnq3TcMgkQkD/FLpyDAwXs+qenCsSiSAYDCISiUAURe3+eb1ebXrdxcVFyLLc1qrfhBBCCBlsJp0R15hEDBfSMMGIjUIGK7kkxvWjGNGbYBD0+G9PeTVeOT2H2x8I4P3nPod/vvTvuOcmF5479nSM6E0Y0hm291vHFsths5iFaDRjSNcfi8Lp9Xro9e2tQTHwYxpEUWw6XoF/dlAGSwsQIAh9+tqDYEdVVdjtdjidTszOziIejyMajSIcDiMcDkNRFHi9Xu2/hBBCCCHVBEGAxWDGoSERU6ZxiEYzUoU01nKXUdge63B45Mk484t/Ad+Nb8bPMo/jN2PvwQfOncZmMbu9CJwZE4YxXM6XgoeLWyrWchvaWIlBM/BBw9zcHIDGA50VRaEn0X1CURQcPnwYiUQC586dg8vlqtnG5XLh2LFjmJmZ2YcUEkIIIaSfGHUGTBsnSi/TBAw6HVbKFnXTCTr84bVH8LW5u/Ey6wvw0Ue+gFdEF/Dd9f8EAAzpjJg2TkAPPVZzSSRySVzMqsgUtvYzWz0x8EGD2+0GUKpwVuOBxLFjx/YySaQDvIUBAM6ePdu0ZUiSJHg8nj1KGSGEEEL6GV/U7ZBpElNGC6ymcWSKW0jkkshvL+p23dAUPvWcd+Fvn3Ub1vIbeN3378J7HvrfuJzPbLdajEI0jCOV38LK9mrSidxgLQo3MEGDqqraQm7lJEmCzWaru+rzmTNnIIpi3SfW5GDhXY4WFhZa6krm8/l6nyhCCCGEDAyDTo9p0wSmjRZMmyZg0hmRyCWR2m51EAQBtxz6ZXxz7h7ceuhX8KnHvoqXRW/H1xLfAwCYdAZMGS0wCYbSonDZUqtDakAWheuLoIG3EjQbm+B0OmG32xEIBGo+CwaDCAQCFa0NqqrC5/Pt+NSa7D9VVbX72k6A53A4epUkQgghhAwos2Fke1E4C6xGC7aKWaxmk9qiblajBR991lvw6ed6wBjD63/kw1v/82+RyG1orRal/XLbi8IlsZJdR77Y360OBzZoCAQCsNvtmJ2dRSgUAgAcOXIEdrsddru9pruR3W6HKIraGIZykiQhGo3C6/XC6/VicXER8/Pz8Pv9NJ6hD/AWJJvN1laA53a7YbPZAACxWAyzs7OYmZmBIAhQFAWhUAiLi4vwer1wOp07DpwOhUJwu93wer1wu91wu90NA1mv14vZ2VlMTk5qZc7r9WqDxu12OxYXFwGUgmK3243JyUkIgoCZmRktLZFIBG63u+5+raar+vizs7MVeY1EItrxy//e+GByvh8/Nz+P0+lELBarm//FxUUtTU6nsybNu7leu72XraRNUZSKa1WeFr6v3W6HIAgIhUId38O93o+LxWIV5cXpdGr3vZ52yn4zrZx3t9e+1fJdjpe/mZkZLC4uNi1/neRnN/eqleu/X+WoW+WCkINIL+gxZbJg2lRqdRjRG5HIJ3E5n9EWdTtifSG+Pnc33nitHf948Vv49eV34Z8u/RsYY9uLwlkwohvCWm4DidwGLmbXcLmfWx0YaVk2m2UAWDab7epxi8UiO59ZYVH1AfZo+hI7n1npy9ej6Ussqj7AzmdWWLFY7Nr18Xg8DACTZXnXx3I4HAwAczgcLBqNVnwmyzKTJImtra3V7OdyuZgkSRXv+f1+Jopi3e0ZYywejzOfz1dzjkZ/dj6fjwGoSVez/dpJFz9+PB6vSacoiiwcDreVLr/fzwCwYDBY8b7D4ag5hyzLO96/dq9XJ/ey1bRFo1HmcDgq3pMkiYmiWPGex+Nhfr9f+3ezeyhJ0o73vt496HaZ8fl8TJblmmsjyzLzeDw123dS9hultZXz7vbat1u+y7dr9++1nevYyb1irLO/8XbP0Um57Va5IKQf5It5tppdZz9PP8F+mDzHvr8eZ+dSj1fUgf7xwrfY4X99PcNX7OyVywtafeh8ZoX9PH1xe7+H2Ln0BXZxa41lC7n9zlaNneq5B7al4SDjS20XCv3dzNQveKtSN7qR8cHUx44dq2llCgaDiMVicDqdFe+HQiEEAgEEg8GK910uF6xWa9On2tVpbpYH/lm9beq91266+DHK1yThrQnnzp3T1rdo5dwAcPToUQCA3+/X3lNVFaFQqObcPp8PkUik6dPseudqdr3avZftpC2RSGiTKHD11nKpfrLa6B5GIpG6kzFU78dbxup91my/VstMJBKB1+uF3++v+TwYDGJxcbGii+duyn6n593ttW+3fJdrtfy1ex3Lj9XqvQI6/xtv5xzN9mtUbrtVLgjpF/rtVoNp0wSmTRaYDUNQ8xtI5tNaq8Mvib+AsOTDW57yGkRWY3jZ8u34hwtfA2MMekEHq3EcZv0I1FwKq9kNXNxSkcyntP33U6FQ0Oq2zVDQ0AGz2QyTyYQTJ07sd1KuCrwi1azS1a563dJEUYTD4UAkEqnodjM/Pw+bzVa3QifLMs6cOVP3HKqqtrVoYLs6TRcXiUTg9/sRDAY7Csj48csr5qIoapMPlOPXe2lpqeHxOr1erd7LdtKmqmrd61rNZrNhdXW16TaqqiIcDrdUae111w632133GgBXrll5hW+3ZayT83br2ndSvlstf+1ex0516/p3olm53c90EbKfRvRD22MdJjBltKCAQmlxt2Ju+3MTFg7/Hr74wvfhKcPX4PYHT+HoD96Hc5nHtf2njRYUWREruXWs5pK4lFWRLTavrPfaiRMnYDKZmq4GDVwFK0L3QiqVgtFohE5HMdde4GsudDNoaFQ5s9vtCIVCiEQikCQJqqpqlZh6s3MlEomGx0okEh1VxiORSM2PcXXed5uuQCCgPSlt1fLysnZcvpBeNBqtqbRHo1Ht/2OxGBRFaWkyg06vV6v3sp20tTOIfqeZuvh1rm7BKsfHYi0vL9dcz1YCiVbLjKIoTfNmtVqhqipisRhsNlvHZWw3593tte+0fLcasLWbn+r72cq94ufp9Pq3eo5mGpXb3aSLkEGgE3QQjWMY0ZtgyhlxuZDBev4yhnQmjOtHoBN0eN74YXzxhe/D/3r0/+LDD38ectSL25/uxJuv/w0YBD1E4xg2i1kkc2lkdFlki3mMG0ZhMYxCEHq/UG61O+64A+95z3uQy+WaBg5U6+2A0WiE0Whse/lt0hneDYb/WLWqesasVvAf2ng8DuDKD63VatWerJW/fD6ftm21Vp+YVrNarXVf5XaTLq/XC0mS4HA44Ha7W75GPB02m02beGB5eblmO1VV4XQ6MTMzo1WCW1k3o9Pr1Uj1vdxN2jrFB9TuRJIk+P1++P1+bSAu7+LSyv1pt8w0woO28mCqkzK2m/PuVqflW1GUlsrfbvPTyr2qPk+717/VczTSrNx2q1wQ0u+GdCYcMonawnAMDKu5JDaLWQClReNue+pr8dXZk3je2GGcUD6LW753J36S+jkAYFhnwpTRAgECVnLrpRWlsyo2C9k9z4ter9fqts1QSwM58PhaGoFAAGfOnGl52tV4PN72Ghz8B3F2dlY7N9duhXZpaamjaV/rdXto1te63XQtLCxAkiTMzc0hEonAbre39CNvs9m0p6a8UjY5OYlwOKz1bY7FYjhy5Ajm5ubarjh0er0aqb6Xu0lbu/i6MY26cNTjcrngcrm0wJjfY96q00wrZYZ/nkgkmqabb7ubMrab8+5Wp+VbUZSWupDtNj+t3Kvq99q9Lq2eo1or5bZb5YKQQSAIAiaM5u1WBwNSxU0kc2lsCllYDKPQCTo8Y/R6fP75f4lPX4jg/ec+h1fF/hxvecoteOtTX4shnRETBjO2iiZs5NPYLGaRLeYgGscwbhjd7+zVoJYG0hd8Ph9EUYTX622ptaHTJ5a8+wrvLsJ/PJsdbz+a4neTLv5DL4oizp49q0272ImjR48iFApp4wb4/akeIFmdlp0GRHdD9b3cy7QpioJwONxRECSKYlcG/Tc6bqNpcoErFWFe6exG2W/3vLvVafleXV1t6brvVX7247unlXJ7UL8TCdlPJp0R12yv6zBtnIBO0GEll0Rmu9VAJ+jwR9e9Al+fvRsvFZ+Lv/755/HK2AKWkw8AAIZ0RkwZLdBBh/V8WhsjcdBQ0ED6Aq8AAKX1OnYKCrxeb9O+5o36EAcCATgcjoofe5/PB0VRGlYS6jXjh0IhbXafXukkXdUkSYLP50MgEOioslx9HZeXl+tWequ7MVUPiN7N9Wr1Xnaatk74/f4DuSr5qVOnGpYZPrtUebq7UcY6OW+3NCvfsVgMdru9owruXuWnW9e/Va2W271OFyH9QBAEWAxmHBoSMWUah2g0I1VII5HbQIEVAQDXD0/jM8/14iPP/O+4lF3Ha793HH8Z/zukCpsQBAFDuubdg/YbBQ0HDAMDY336Qm+nDeOL9AFouEhTJBKB0+nEqVOnmh7r9OnTNZUFp9MJSZJq9nU4HPB4PHA6nTUVVL6gU7lYLNbybDnleHparcS0my5+3OpuFR6PB6IoNlysrdlgy0gkUlExP3r0qDYAtHz/YDAIWZbrVvA7vV5cq/eyk7SVa2WAJ/+8XqWpF09fOy0z8/Pzda8Z/7x6+1bLWLfOW62da99q+eblN5FINAxaG52zk/y0e6/Kz9Pu33i7Za3dctutckHIIDLqDNo4h2nTBIw6PVay60gXNgGUgovfedJL8c25e/Db1/wSPnH+yziy7MG/rv1gn1O+M4EdhAli+0Qul4PJZEI2m91xsEg7GGO4sJXA41uN+8j2kycPWXHtkLWnMwDw6RRjsRhEUYTVaoUoirDb7U3HMQQCAbjdbkSjUe0Jczweh6IouPnmm5tWXPg5+bmAyjUC+OehUAgOhwM333xzxf6rq6vaiqqyLGtPQRVFgd/vRyAQgKqqkCQJsixr6wcEg0FtzndZluF0OivyuFO6mh0fKD3lL/+Rd7lc8Pv9NfvJsgy73Y7V1VXtKaPb7a65ZouLizh9+jTm5uYgiiKmpqbg8Xi0dRNsNptWOenkeu3mXraaNh7AxGIxnD59Wlt1GoB2/ex2u7bdbu9hPc3260aZKZ+KVFVV2O32ht1SdipjrWrnvN249kDj8q2qKubn57U8lZetVu9ZK/npRtnYzd94r8tRN8oFIYMqXyxAzV9GqrCJZD4FAaXWCINwZSKdr6ws488f+iQez67Bceil+LOn3Ypnmm/AtGliz9O7Uz2XgoY29DpoGCS9Dho6VV7R7PYPm9vtxvLyMk6dOtX02IqiIBKJwO12Ix6PX7WDCXd7vXp5LwkhhJBuSeUzSBbS2MhnkC5swqwfgVk/rH2+nk/hr5R/wGcf/xqmjRZ8fe5uPHf88J6nc6d6Ls2edAAIgoBrh3q3CNh+OIgBQ68lEgmcPXt2x8GUNpsNLpcL0Wj0qh4wSNeLEELI1cBsGMGw3gSTYMSwzoRkPoXNQmmGJaPOgAmDGYs3zeM3pl+EL618F08yTe53kuuioOGAuBor2YOmvIm+FXa7vem0jYOOrhchhJCrhV7QY8pkwUjBBJPOgMv5NBL5JMy6UquDIAj4L+Iv4PnjtgNbJ6SB0B3I5XLI5XIoFAr7nRTSpkaDJbuh3WkyJUnq6irX/Wa316uX95IQQgjphVH9MK4xTcBqKk3PmmV5rOaSyBbz+5amQqGg1W2boTENbeB9vbg777wTx48f378EkZbFYjHMz89XzJ4iy3LFIEbSH+heEkIIGQSbhez2QOkMNvKZ7QHSAp48NLmnA6GPHz+Ou+66S/s3DYTuAh40pFIpGI1G6HQ66PX6nXckhBBCCCGkSpEVkcynsZFPI1lIgzHsedBQKBRQLBaRy+VgNptpIHQ3GY3Grs6eRAghhBBCrj46QQfROIYRvQmmnBGbxSwE7O2YBr1e39JDcAoaCCGEEEII2UdDOhMOmYxIFzYxpDPtvMM+oKCBEEIIIYSQfSYIAsyGkf1ORkM0exIhhBBCCCGkKQoaCCGEEEIIIU1R0EAIIYQQQghpioIGQgghhBBCSFMUNBBCCCGEEEKaoqCBEEIIIYQQ0hRNudqBXC4HALQiNCGEEEII6WvlK0I3Qy0NHTCbzTCZTDhx4sR+J4UQQgghhJCOnThxAiaTCWazuel2AmOM7VGa+l4ul4PJZEIqlYLRaKSWBkIIIYQQ0tfKWxrMZjOy2SyMRmPNdtQ9qQNGo7HuxSSEEEIIIaSf6PX6lh6CU/ckQgghhBBCSFMUNBBCCCGEEEKaoqCBDJRCoYDjx4+jUCjsd1LIgKIyRnqNyhjpJSpfpFM0ELoNfCB0owEiZP/RPSK9RmWM9BqVMdJLVL5IIzuVDWppIIQQQgghhDRFQcMBd1CbEQ9qug6yg3rNKF2D4aBeL0rX4Dio14zSNRgO8vU6qGnb63RR96Q27EeT3kFtRqR0te+gpo3S1R5KV3soXe07qGmjdLWH0tWeg5ou4OCmrdvp2ul4tE5DG3h8tdMy293Ez7WX52wFpat9BzVtlK72ULraQ+lq30FNG6WrPZSu9hzUdAEHN23dThc/TqP2BGppaEM6nd5xiW1CCCGEEEL6VSqVwujoaM37FDS0oVgsYnNzEwaDAYIg7HdyCCGEEEII6QrGGPL5PIaHh6HT1Q57pqCBEEIIIYQQ0hTNnkQIIYQQQghpioIGQgghhBBCSFMUNBBCCCGEEEKaoqCBEEIIIYQQ0hQFDYQQQgghhJCmaHE30hOKosDn80EURe3fCwsLkCSp58dqd/tIJAK/3w9VVaEoCmw2G3w+345p9Xq9iMVi2nncbjdkWW47f6R9g1y++PG5RCKBY8eOweFwtJ030rl+KmOBQADRaBRAqbwoigK32w2Xy9XzvJHODHL56vQ3lfQBRkiXRaNRZrPZWDwe195bW1tjNpuNBYPBnh6r3e19Ph/z+XwV77lcLgaAeTyeummKx+PMZrMxv99f8b7D4ag4L+mNQS5f4XCYuVyumvddLlfD8ki6r5/KmMfjYdFotOYYAJgsyz3NG+nMIJevTn5TSf+goIF0nc1mq/nSYIyxYDDIRFFka2trPTtWO9vH4/GGX2KSJDEALBwOV7y/trbGRFGsCRiCwSADUPfcpLsGuXxJktQ0rRSU7o1+KmMA6gaasizXLWPdzBvpzKCWr06+80h/oaCBdFU4HGYAap5McO1UrNs9Vrvbezyehk91eBDgcDgq3vd4PMxms9VNqyiK9IXYY4NcvqLRaNOgweVy1QSrpPv6qYzxJ771yo3D4WAAKspMN/NGOjPI5auT31TSX2ggNOmqcDgMALDZbHU/F0URp0+f7smx2t0+FovB6XQiEAjUbMv7XsZiMe09VVWxuLhYt2+5LMtYW1ujMQ09Nsjli/+7+j2O9w0mvdVPZUySJMTjcZw9e7ZmW0VRAABzc3MdH5903yCXr06+80h/oaCBdFUkEgEAbYBVNZvN1vKXRrvHand7u90OURQrvvQ4VVVr3uNfhHa7vZXkkx4Y5PIlSRJEUcTs7GzNj24sFkMikaCgdA/0Uxnj71VvrygKYrEYZFmuGHzazbyRzgxy+Wr3O4/0HwoaSFcpitLwC6nXx2p3e4/Hg7W1tbozOiwvLwNAxWflT2lCoRC8Xi8WFxfhdrsRCoVaPi/p3CCXLwDarElutxt2ux2qqiISicDr9dZ92ke6r5/KWCNutxuSJCEYDPbk+KRzg1y+OvnOI/2FggbSVa0+TWhlu3aP1c1z8y/DhYUF7T3+pReJRCCKInw+HzweD/x+P7xeL9xud0vnJ50b5PIFAC6XC8FgEKIoIhKJYHJyEl6vF+FwmCp7e6Rfy9ji4iKcTidmZmYgSRKi0WhNmelm3khnBrl8NdPoO4/0FwoayL5IJBL7dqydto9EIohEIvB4PBVPRfgXaTwer+km4vf7EQgEtOZfsr/6sXxxkiRBlmWtjMViMa3VgRwcB62MeTweBINBhMNhKIqC2dlZrd95r9NDum+QytdO33mkf1DQQLqqm09D2z1WN86tqiqcTiccDkfFAlvl6o1p4BU8r9e76zSQxga9fIVCIbjdbu3HubzV4fDhwxQ47IF+L2M2m017qjszM1NRsaPWqv03yOWrnlZ+U0n/oKCBdJXVau3adu0eqxvnnp+fhyzLNX01gStfuM1mnqBBhL01yOUrFotpXZE4h8OBc+fOQZZlqKqK+fn5ltJAOtfvZYzj3SWdTmfH6SHdN8jlq55m33mk/1DQQLpKFMWmT0P5Z6088Wj3WLs9N28laPTl1up0l/Q0uHcGuXx5vd66LVWiKCIcDsPhcNCA+z3QT2VMUZSGZYLPYFP+IKObeSOdGeTyVW2n7zzSfyhoIF3Fv0gafTEpitJyn8Z2j7WbcwcCASiKUne2EY53QdopKKAf3N4Z5PK1vLxcd6pCjjftU1DaW/1Uxux2O5xO547BJD9eN/NGOjPI5atcK995pP9Q0EC6ijdZ1vti4F8sx44d68mxOj13JBLR+o9XK++Dyfdt9KWnqir94PbYIJcvm83W9AfVarVCFEUKSnus38qYKIp1v3f4Mcrn2e9m3khnBrl8ca1+55E+tN9LUpPBY7PZmMfjqXnf7/czURTZ2tpaxftra2ssHA535Vjtbh+Px5nL5WqYl+rPJEliDoejZrtgMMgAsGg02vBYpDsGtXz5fD4my3LDbf1+f91zk+7rlzLm8XgantfhcDAAzO/37yo9pPsGuXy1+5tK+gsFDaTrotEoE0WRxeNx7b21tTVms9nqVqplWa775dPJsdrZfm1tjYmiyCRJqvsSRbHmyzUejzNRFFkwGKw5vs/na+HqkN0a5PIlyzJzuVw1P/R+v79usEp6o1/KGGOlylv59xFjVx5i1KugtXt80n2DWr46+c4j/cWwb00cZGDxhV+8Xi9sNhumpqawtLQEv99ft5nTbrc37M/d7rHa2d7pdEJV1aYDuW6++eaKf9tsNu34p0+f1t73+/01azeQ3hjk8hUOhxEKhbQZSXiz/7Fjx2gw4R7qlzIGlAaZlpcZ3s0kHA7X/U5q9/ik+wa1fHXynUf6i8AYY/udCEIIIYQQQsjBRQOhCSGEEEIIIU1R0EAIIYQQQghpioIGQgghhBBCSFMUNBBCCCGEEEKaoqCBEEIIIYQQ0hQFDYQQQgghhJCmKGgghBBCCCGENEVBAyGEEEIIIaQpChoIIYQQQgghTVHQQAghhBBCCGmKggZCCCGEEEJIUxQ0EEIIIYQQQpqioIEQQgghfWdxcXG/k0DIVYWCBkIIIYT0lVgsBpvNtt/JIOSqQkEDIWRXQqEQnE4nnE4n3G639v+hUKij4ymKgkAgoB2PEDJ4FEXB7OwsVFXtaP/Tp0/D4XBo/7bb7ZiZmYEgCNprdna27ndILBar2G5ycpJaLQhpgWG/E0AI6U+qquLIkSOw2WwIBoM1n83Pz+PkyZMIBoM7PhGMxWLw+/04c+aMVomQJAk+n69XySeE7LFIJIJYLIZwOIzl5WWoqopEIgFRFHd97HA4DKAUPEQiEfh8Png8nrrbSpIEv98Pt9uNYDBYEXwQQhqjlgZCSNtisRgOHz6MY8eO1QQMACCKohYszM7OIhaL1T2Oqqqw2+2YnZ1FJBLB0aNH4ff7sba2hmg0St0PCBkwkiQhHA7j6NGjHR8jEonAbrfX/Yx/ZzQLRFRVRTAYRDwep4CBkDZQSwMhpG28haHRkzwuGAxiZmYGTqcT8Xi87nGA0lNCWZZ7klZCyMHQrb/xcDjccSskbwUNBoNdaeEg5GpCLQ2EkLa43W6oqtryj7bX64WiKPB6vRXvBwIBWK1WRKNRChgIIS2bmprqaD8eMJw6dYoCBkI6QEEDIaRlqqoiEAgAaP2pIe+GUD3Q0O/31+3aRAghjQQCgY66FFELAyG7R92TCCEtO3PmDIBSv+RWiaIIURShqioikYgWbNhsNoiiqA2C5tuqqgqn01kRlMRiMczPz0NVVSiKgng8jlgsBkVRsLq6CkVRYLPZmrZ+LC4uIh6PQxRFKIqCm2++uaZ7laIomJmZgSRJ2vl5sONyubT0RiIRBINBbbA2H8Bts9ngcDjg8/m0bcqDLLvdXnPOVtJVvf3S0pLWd3tqagpLS0vabFUulwtut3vHe9RuXssraqFQCOFwWLtfAODz+bTKmKqqOHnyJEKhEBRFgcfjaXhvyvun87SLolhxXSVJwrFjx7R9VldXtbQ2uq47pfGglilRFOH3+7X7KcsyfD6fdj8jkQicTqd2XU6dOgUAe5KXgyAej8PlcrW1j6IocDqdiEajPUoVIVcJRgghLXK5XAwAk2W5rf0kSWIAmM/nY4wxFo/Hmc/nYx6Ph0mSxNbW1iq2l2WZuVyumuM4HA4GgDkcDhaNRmv2qXcsvl88Hq/Zvjof0WiUORyOmrSLoljxnsfjYX6/X/u3z+djAGrSxM/T6Ku21XRxoigyURTr5hFA3WvWSKd5dblcTJKkim38fn/ddPn9/qb5L9+3Xto7va7tpPGglimev3rn9vv9Ncfci7x0E/8uqT5vM2traxXXqNlx+XbxeJyJosgAsGAwuKs0E3K1o+5JhJCWJRIJAM1nJmlmdXUVQOlJ9NLSEhYXF+t2F+BP6PlTeo4/kT527FjNk/RgMIhYLAan01nxvqqqCIVCNWMqeGtA+XoSiUSiZl53q9Vakw8+roPj6a93XRpdq3bSBZSeMKuqClmWu9K9opO8hkIhBAKBmm5lLpcLVqu1Ji9Wq1U7R/W9BKC1zgDNr10717XdNB7UMsWPXe+6RaPRuq0Gvc7LfgsEAm3NuqQoCnw+n1YWeGsMIaQzFDQQQlrGKzvt/vDy7fkAxkQigVAoBEmS6k6rKooiHA5HTUWGq9f1hu/D54Ivf7/eefgxlpaWKtLZyjSvNptNC4A61U66gCtjSBpNX9uuTvI6Pz8Pm81Wdz9ZlrXua+X4falXyT1z5kzXB8F3kkbg4JUpWZZhs9m0rnv1tm+kV3nZb6urqy0HzDyw8vv9kGUZHo9HG9dACOkMjWkghLRsdnYWQOkJXjv49tWVmWYVH6vVClVVEYvFavZrFLTY7XaEQiFEIpGKfcr7MvO+3jxN5cdqZ4BlvUpwJBKpyVOza9VqurhwOAy32w2v14uFhYVdtTi0m1dVVbUKcCQSqdkmkUg0vC8LCwvaeh3tjIdp127SeBDLFL/X5WOB+ArszfQqL/spFovh5ptvbnl7RVG0Bd+A0rUNhULai9ZnIKR91NJACGkZ7xqgKErLlYnyp5q84sNbLOp10+B4hbidAIVX2KvXhOCDq2dmZrC8vAxJknoyyNNqtdZ9NdJuumRZRjweh9vtxuzsLARBgNfrrZmZqhf4fbBardqT/PKXz+eruxYHAO1J9smTJ7X3+GJ+ByWNjexnmeIDfstbG3azpsl+/33sxunTp9uq6NcLrKibEiG7Qy0NhJCW8S4OvN94KxWL06dPA0DFtjwg4GMk6uE/6u2sCs0rjbxFBCgFLUeOHMHc3FzbFcZ21evm0ag1YDfp4k+D/X6/VrFs1JWrW8rz0clK3V6vV+u3z2fo6XbXpN2msZ79LFPlf2+qqiKRSGBmZqbj4+3338d+48HQ4uIinE5nRUsEIWRn1NJACGkL70JR/tS4Eb6ugyiKWFhY0N7nT36b9c/nAUU73Vl4N4u5uTntPa/XC1VVawbGVj9p3OsBn52mS1EUzM/PQ5bltqee3A1+z5q1/DR7esvTGggEtClAu223aaxnv8sU/7sJBAIVQWIn9jsvnYpEIhVT7u6Gz+fTuq8dpEHehPQDChoIIW2x2WwIh8Nal4Zm+HzyZ8+erXnizleKrhc48BldGs0rX69SyAMUh8NREWgsLy9ra0WUW15ervj3Xg/47DRdfIac/VgYz+fzNbxnwM6tHS6XC36/v6KPfrd1msaDWqZ465Xf79daaXZyUPPSqXA43NWxMNRNiZDOUNBACGmbLMsIh8MVC3OV4wEFX2iq3g++y+WCy+XSAotyTqcTDoejYfen06dP192nfLEr7ujRo9qA6vL0BYNByLK845iJZoNny49X/t9WdJIufk1PnTrVk1Vtd8orvyc8HeXcbndNEBkOhyvy53a7G46HafZeq9t3kkbuoJWp6nTzBcpa0eu8LC4uYnJysu5g81bx4+50rVRV1WZda+e4za4vD8RUVcWRI0cocCCkVfu9UAQhpL/xBbxcLpf2kmW55YWUwuEwczgczOVyMY/Hw1wuFwuHww3Phe3Fvvx+P/P7/czj8TCHw6EtHFePz+djkiRp5+DbRqNRZrPZmCzLFeeMRqPacQEwAEySJObxeCq2i8fjzOPxaItH8W14vvhCU9heEK96YapW0xUMBpnNZtOO5XK5tEW6fD6fthAY/6zeYmiNtJrXctX3zOPxVJxzbW2t4njl6ZVlWfv/8sXfytO+2+vaShq5g1am6llbW2M2m63pNnuZF37P2l38jd/v8rLMr0N5uajep5UF4PjiddXH5eWmXPV22F4QjxDSnMAYY70OTAghpBsCgQDcbjei0WhPp+4kV49+KFOKoiAUCu048cBe5iUWi+H06dMNuxB2i9fr7fk5CCGtoe5JhBBCyAG22wHQvbAXAZaiKLuaLYoQ0l0UNBBCCCEHRCQSwezsbEXf/FYHQO+ldscadCIUCnV9LQ9CSOdonQZCSN/gAxabre9ASDsOWpmqnvnp5MmTLXfP2cu8eL3eikXnemF1dfXABUuEXM1oTAMh5MCLxWKYn5+vWV06GAxSpYJ05CCXqfJpYY8dO7ZjV6C9zkskEoGqqm2t0NwuvoBhL89BCGkPBQ2EEEIIOVACgcCBG8dByNWOggZCCCGEEEJIUzQQmhBCCCGEENIUBQ2EEEIIIYSQpihoIIQQQgghhDRFQQMhhBBCCCGkKQoaCCGEEEIIIU1R0EAIIYQQQghp6v8HK+BDY2CP58YAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_edge = 96 # celcium grad\n",
"\n",
"revT = 1 / T\n",
"lnSigma = np.log(sigma_x)\n",
"line = lambda x, k, b: k*x + b\n",
"idx = T > (T_edge + 273.15) # T more than 90 degrees\n",
"popt, pcov = curve_fit(line, revT[idx], lnSigma[idx])\n",
"perr = np.sqrt(np.diag(pcov))\n",
"\n",
"k, b = popt\n",
"k_sigma = perr[0]\n",
"b_sigma = perr[1]\n",
"\n",
"plt.plot(revT, lnSigma, \".\", markersize=3, label=\"Экспериментальные данные\")\n",
"plt.plot(revT, line(revT, *popt), lw=.75, label=fr\"Аппроксимация прямой для $T > {T_edge}^\\circ$С\")\n",
"plt.fill_between(revT, line(revT, k + k_sigma, b), line(revT, k - k_sigma, b), alpha=.1, color=\"C1\", label=fr\"Среднеквадратичное отклонение\")\n",
"plt.xlabel(\"Обратная температура, 1/K\")\n",
"plt.ylabel(r\"$\\ln \\sigma_x$, усл. ед.\")\n",
"\n",
"plt.legend()\n",
"plt.savefig(\"logSigmaOnRevT.png\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "534f97cf-1338-4c47-9cce-3fe11bfc59f1",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"13.321019102856487"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k_sigma"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "7a703f6a-1a4b-4646-9255-4fa6920a243e",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"4228.052416617957"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"-k"
]
},
{
"cell_type": "code",
"execution_count": 113,
"id": "6fd4474a-ae5c-45df-8aca-48da328c39df",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"728.7+-2.3 мэВ\n"
]
}
],
"source": [
"k_B = 1.380649e-23 # Дж/К\n",
"e = 1.602176634e-19 # Кл\n",
"Delta = -2 * k_B * k / e # eV\n",
"Delta_sigma = 2 * k_B * k_sigma / e # eV\n",
"print(f\"{Delta*1e3:.1f}+-{Delta_sigma*1e3:.1f} мэВ\")"
]
},
{
"cell_type": "code",
"execution_count": 114,
"id": "cc9544e5-c8fb-44e0-b3a2-abd0ab9899af",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"69"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(idx)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}