Skip to content

Instantly share code, notes, and snippets.

@ChadFulton
Created June 2, 2015 01:30
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save ChadFulton/bcfd05a2b39705d33070 to your computer and use it in GitHub Desktop.
Save ChadFulton/bcfd05a2b39705d33070 to your computer and use it in GitHub Desktop.
Statespace diagnostics
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import statsmodels.api as sm"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from pandas.io.data import DataReader\n",
"lgdp = np.log(DataReader('GDPC1', 'fred', start='1984-01', end='2005-01'))"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Statespace Model Results \n",
"=========================================================================================\n",
"Dep. Variable: GDPC1 No. Observations: 85\n",
"Model: SARIMAX(2, 1, 0)x(3, 1, 0, 3) Log Likelihood 309.642\n",
"Date: Mon, 01 Jun 2015 AIC -607.283\n",
"Time: 16:29:38 BIC -592.627\n",
"Sample: 01-01-1984 HQIC -601.388\n",
" - 01-01-2005 \n",
"==============================================================================\n",
" coef std err z P>|z| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"ar.L1 0.1650 0.113 1.463 0.143 -0.056 0.386\n",
"ar.L2 0.3976 0.106 3.747 0.000 0.190 0.606\n",
"ar.S.L3 -0.7675 0.124 -6.192 0.000 -1.010 -0.525\n",
"ar.S.L6 -0.4137 0.147 -2.816 0.005 -0.702 -0.126\n",
"ar.S.L9 -0.0305 0.119 -0.256 0.798 -0.264 0.203\n",
"sigma2 2.738e-05 4.48e-06 6.110 0.000 1.86e-05 3.62e-05\n",
"===================================================================================\n",
"Ljung-Box (Q): 32.90 Jarque-Bera (JB): 0.72\n",
"Prob(Q): 0.78 Prob(JB): 0.70\n",
"Heteroskedasticity (H): 1.05 Skew: -0.14\n",
"Prob(H) (two-sided): 0.90 Kurtosis: 2.64\n",
"===================================================================================\n"
]
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAxAAAAGnCAYAAAAnqbEZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYFMX5xz+1u7DAcizLfckq5yLKOeCFwoAa72hi60aj\n",
"xp9RUaMYM2jEeBOPiUdMDNFcqNE1bRKjibeMiIrCgIogiwjIJXKzLMeywG7//qge6J3tmemeY6cH\n",
"6vM8PGxPV1d/p7qnu95637dKGIaBQqFQKBQKhUKhUDghL9sCFAqFQqFQKBQKRe6gDAiFQqFQKBQK\n",
"hULhGGVAKBQKhUKhUCgUCscoA0KhUCgUCoVCoVA4RhkQCoVCoVAoFAqFwjHKgFAoFAqFQqFQKBSO\n",
"UQbEYYQQ4vtCiLAQYrUQYq0Q4l6bMmOFEGuaWNf9Qoi/NcF5/i6EuCvGvj8KIc7NtAbzXH2FEPVN\n",
"ca5UcNomQoirhBDvZeD8rwgh1ggh9gkhxqe7foUi3Qgh7hZCPBf1Wb0Q4iibst2FEDOFEK1SOJ9t\n",
"3YcjQohLzefF9uhrkKs4fR8LIa4UQkzNsJaZQoj/S2N9Md/HLurIyLvHpYY7hRATY+wrNX+jh2Rf\n",
"uyDbAhRNgxDiaGA6MMEwjHnmZ62zKuogTbUYiRHrXIZhXNtEGnKGbLeJYRjnAQghvqHp7hGFIhVi\n",
"PmMaFTSMdcDYZE8khBCRP5Ot41DCMIy/A5FOad9s62lKDMP4a1OcJgP15fxz3TCMRgOxNhySv9FD\n",
"0ipS2NIH2ATMj3xgGMZOawEhxJOADnQ1R3LWCCF+EFXmSiHER0KIb4QQ3wkh7onaP10IERRCPCaE\n",
"WCaEWCeEuCiqzFghxCJz3ytA12ixQoiA6S1ZZXpMrrEpUy+EOFMIMdv0qLwbtf8iU8MaIcSzQGui\n",
"fshCiPnm/j12oytCiE8tbREZDf91VJmBQoh3TQ2fCSHGRe1vL4T4pxBioxDic+Ds6PM4wWzbB4QQ\n",
"vzfb5FshxLGW/UIIcZsQ4mshxErTg9Aiqo4ThBCzLN/nJZvzJGqTY4UQc4QQ64UQIaB/1P5Go2bR\n",
"o1dmmzwuhPjSvI++EEKclEy7KBQeQpCgsxD5fZjPP9vRSSHEueKgt3iNEOLRqP2XAqvNzQ/MMr+J\n",
"KtNPCPGGue9rIT29BVFlfiqEWGH+Bt8RQiwUUd5gB8/Z88zn3zLzGfdU5DsJOQK7RwhxjRBik5Aj\n",
"xlOFEJuFEGcmaMvoNlsrhLjWfGZsMJ8f+XbF49TTwGMj7D1GV5rtsNr8d4tTnZY6ugsh/m22/Zci\n",
"6h1olrlNCPGVeY6VQoiLo/Y7eR8/KWJ4Xcw2W2J+xy1CiLOEEH81r9EwS7kxQohXTS2bhBAvCSGK\n",
"LPv7mM/z44GHzfN9FHUuJ++ehO9jB+0a991jlkn0PnbSRykzfzuRe2C2zXleNb/LTiHEfTb7fwlE\n",
"jltplp1k2T9FyP6P9ZhfCyGed9MmWcUwDPXvMPgHNAdmAu8B/jjlTgHWxNl/MlBi/n00sAvwWfZP\n",
"B75FejoArrTWB3QAqoFLzO2BwArgr1HnORVobf7tB/YCXaPK1ANzgQHmdhvLvjKgBhhrbh8PbAHu\n",
"jPG93gOuTNCGZwILgRaWz1oDa4GfmdtDgI1AT0uZF4BXgUKgBfA3oD6JazjdrPvq6O9rbt9s6uuG\n",
"HBz4G/D7qDLfWr9npI2dtol5H60Ebje3uwPzgJClzNjoeyi6LrMtTgPyzO17gC9j6Pgm3j2r/ql/\n",
"XvkH3A3sMO/ZyL964Cibsr3NfXlRnxeZzzu/5bM2Mc4Xq+4ipIFxrbndDpgBPGQpczRQBRxp/h4/\n",
"Bu4DimzOYfucNbdHAT3Mv7sD64ALze1SoA74MfBT5PviZOBB4EUX7TrWrOc6c7sr8BVwfYxr8JyT\n",
"9gLuspYF+iHfG4OsbenyHsgHPgWCyA5yb/NaWN+Tp5rtFGm3PKClTV1x38exvoelzWqR78+pyPff\n",
"AOBF4EFLucFAX/PvYuBzIGBzjpjvSBK8e3D5Po5xDifvHifv4+nE6aOYn30E3G2tN46uvwH3xthn\n",
"+xs39/UEdnOwPyWQz4txbu63bP5THojDBMMw9iIfJL8D7hBCLBBCjLQpGndEwDCMWYZhbDU3lwCL\n",
"kA+HA0WAvxiGERml+gDoYdl/NrDEMIznzfqWAM9Hn9cwjHeMgx6SWciHTT8bSdcZhvGVecwOy+ca\n",
"8F/DMGaa+z4GXk/0/WIhhOgJTAMuMgxjT9T32WEYxu/M8ywA/o18YWKO+P0QuM0wjFrz2GRjVQ1A\n",
"NwzjafNcO6L2XwPcbxjGd4Zh1AO3A9EehDXAiUKIQWYdO3HH8Ugj6AHz+HXIdnHVrmZbvG3qBPgn\n",
"8uWmUOQ6LxuGcWTkX5xysX4ztcAGYEJktNzmt56Is4HNhmH80Tx+O/AL4HpLmSHIZ/E3hmHUIp+z\n",
"nQzD2GVTX6znLIZhzDUM41tz8zvgQxq+EwTyGb8K2GgYxixkh7rE5XdaZxjGH8xzrgd+i3y2pkL0\n",
"NdiObP/ThBA9zHPZtUc8fMgQqtsMySrkM/IqS5n1QCvkNe5gGEa9YRg1DvTFIla5jYZhhJBtv8C8\n",
"hg3a3jCMRYZhLDP/rgLepeH1c3KeRO+edLyPnbx74r6PTRL1UUC+J4cLIUYKIfIcvCdjfY+Y388w\n",
"jLXI31zE8zQGObCY1ZwONygD4jDCfEj92zCMyIjEW0KINm7qEEKcKIR42XRhzgCOonEujfVHs888\n",
"LnKvdUWOIiQ6z9mmC/FD4G2gLdDMpuhWm88Aujg5jxNMI+BF4B7DMBZH7e4F9BIypOsbIeP1z+Ng\n",
"WFYHZPt8kw4twLY4+3oBj1h0zAZqhBDdLGW+B3wN/FnI8LAbXZ6/K7DaMIdMTFwbZabL+2Yhw6k+\n",
"BJ4E8sQhmmymOKxIKd7ZMIz9wGjkiPu/zNCSRiEwCegNLI/6bBnQSgjRwdwOA2VCiMFCiHbA6cjO\n",
"vx2xnrMIIY4WQjxvhnnMBI7DPr+yPurvVOPCVyOf86nQIAbfMIyNSI/KEUBIyBBWtxM49EKOli+z\n",
"PItvADpbzrMQGI9sq/nmc3BoCt8jEdb2btD2QogjhBBPCxmi9gFwLrHzY2PlLCR696Tjfezk3ZPo\n",
"fWx3XHQfBeAnyH7Hg8BaIcR9QohU71c7/gpcav59qbmdM6gk6sMUwzB0IcTTSPf1F06OEUJ0Bt4E\n",
"zo1YyUKImS5PvYbGo0bRcblDkW7BCeYIAkKIlS7PsxYYFvVZAcklbU0FVhr2iWrLgc8MwxgT49hN\n",
"yBGto4Avzc/s4nbTwXJgkjniZIs5wvQg8KAQoi/woRBigWEY7zs8x1rgCCGEsDzIo79PPYkHJ36G\n",
"vA8uMAxjgxDiSBp3eBSKXCMtSaHm6OqvgF8JIXzALCHEJ+ZothNWAZdEfTYQ2G0YxhbzHF8LmTcx\n",
"zyz/giETkR1jDq68B9wc8SoLIaa7qcMF0c+ZPkjd0cS7BgYNn02NOoWGYSwFfg78XMhZ6P4rhGhv\n",
"emmcsBzYkMD7hGEY8zFzEoUQNwAvI9/HyZDKffcfZK7FtYZh1AuZ1+h2Zq9E7550vI+dvHsSvY8d\n",
"YXqDfg/8XgjRFemVWQY8k0q9NrwCTBNykpvzgUwakWlHjfYdJgghmgshBpp/5wkhrkOOZkePqG8D\n",
"Okfct0KIIyz7OiHvmUohRL4Q4mrkaE1z66kSSHkN6CeEON+sfxzS1Wl9kPRAxgYuN3XfiYx3tPNA\n",
"xOIfwJlCiOPM0W4NOCfBMY20C5nodx4Qa0ai14COQiZ9NzOPaSmEaA7S64N8ON8thCgQQnREut6T\n",
"IVHbPgo8LoQ4EAokhChuUIFMaozUU4B8ANu5zmOd82NkHPNNZn1DgMk0vH5rgU5CiE5mmTOA6HC5\n",
"nkg3/kazTYLm57Gu8SE5i4XikCMt96loODVrpKO116ZoFeZvSwjRwzKK+l+gRAhxk/n8K0E+H/5g\n",
"OcdJSCO+u2EYAwzDuAf3tESGwywy6/w+cgS7ebyDkqSLkJNI5JnvpUmA3XSt8a7BWmTMP+YASjlR\n",
"ndiotm+OHACqcyrSMIxPke+ux4UQLc06m0f+NrebWd6xeeZ5dttUF+993EC2U3029AQqTeNhDHL0\n",
"3e45vI2D91qbqHdLondPMu/jaJy8e+K+jyPSEp1ICNFLHJxwIB/5G7S7PonqqzL/j7Rbg+tnGqUV\n",
"SMPEGgqYEygD4vChB/CcEGItZqIOMN50lx/AHPGvABYIIb4G7rTs+xL5oPgCaXj0BF5Cdu4PFKPx\n",
"qMKBbTMW9xLgUSHEd8DVyA62lTeAd5DJ1Z8j3ecf0ThOMebohWEYy5Gj3C8jXd1jkTGX8bCr7xmk\n",
"+7VSHJwJ48BsJ+YDYDwynnip6SmZAwyy1PELZAjWRuAtZLx/MiNGdm17cKdhTEd2xF8UcuaIb4D7\n",
"o4rdC6wRQqxGtnvAMIy5Cc5pPUc98qX7UyHERqQ34/moMiuAx5Gzw7wKDAc+i6r3EaAjMpHwNeBp\n",
"YD+Nr3GECrPt7fJgFAqvEPf5F6O8HX8Wcpa1NcgBhwsNw/jOptwdyFHSFcjOdHsAwzB2AxOAM5DP\n",
"vzAy1nuK5dhtyORq67NtgRDiAqf6zXyInwFvCiGWI5OD/0Tjd0L033GfZTFYh/ToLkG+F14yDOMF\n",
"O1nA+eb3uT1q3y+AoBDiDfPvt607hRBtAV3IGXzWIHNGzoh+TzrgfGSnc5EQYhWwAJkQHaE3MoR4\n",
"DdKL4gei2z3u+zi6KPbtadfe0WWvAZ4w313XIu836/WL8BvgdFPzTGQSfkTndOK8e5J8Hzf8Is7e\n",
"PU7ex05+o9dhzpwEhJA5E41mLIxTX0RPFTJn43UhxDLgD6JxmO5fke/Iv8So37OIhuFkCoVCoVAo\n",
"DnWEEGORo/iXmwM7mJ7piYZhHJNNbdGYWp8zDKNXtrUoFOlEyDyROcjZwdwaqlklKzkQmqbdD5yA\n",
"jJW+Wtf1FdnQoVAoFIr0o2naBOTUkgB36boeMy/HLF8ILAUe1nX9SfOz6ciZufYA03VdT3f88eHO\n",
"WciQnh1wIKTnQsBpPpRCoUgSSyjxg8CjuWY8QJYMCF3X7wDQNO1E4FakC02hUCgUOY6maXnIdT0m\n",
"mB+9pWnae7qux3N3X4tlkUsTA7hI1/XVNuUVqfMQcvazb8zOzGbk5BVPZlVVbFS4hOJQ4o9II/4d\n",
"ks+LzCrZnoXpOKAyyxoUCoVCkT76AUt1Xa8B0DRtOXJe/K/tCmua1goZO/8SciEoKyp5PkMYhrEZ\n",
"cDs9bFYw1w+IlUCsUOQchmHk/MB51gwITdNmIZMoU5puS6FQKBSeogSo0jTtMXN7O3I9FFsDArgR\n",
"OWVi9Jz+O4AXNE3bCtys6/qyTIhVKBQKhXuyZkDoun6ypmmjgGeRbpwGzJgxQ7krFQqFIoOMHz8+\n",
"EyP8W4Bi5EwmAjl16Ga7gpqmtQNO0nX9QU3TrrDu03X9RrPMUOQML+fb1aHeFQqFQpE5Yr0nsh3C\n",
"tD6ehgy93FwjhBgbWYJd6ZB4RYtXdIB3tCgdjfGKFq/ogIx2vJcD/S3b/eJ4D04EWmiaVoFcRKvA\n",
"zJewrk+zB3O12Fh45V1hh5euuROU3syi9GaWXNKbC1rjvSeyNQvTP5DhS3uRS7wrFAqF4hBA1/U6\n",
"TdPuQSYHAtwd2adp2oXAbl3XXzPLvo45H7ymaZcDRRHjQdO0F4FuyFCm65vsCygUCoUiIZ5dB2LG\n",
"jBmGl0eVFAqFIpc5VJ6xh8r3UCgUCq8R7/mqVqJWKBQKhUKhUCgUjlEGhAPMVTCzjld0gHe0eEUH\n",
"eEeL0tEYr2jxig5F05Fr11zpzSxKb2bJJb25pNWObCdRKxQKhUKhUCgUrgmHw1MKCwv9Qoh8gFmz\n",
"ZhUvXLiwKtu6nJBtrYZh1O/bt69qx44dN48dO3aV2+OVAeEAr2TJe0UHeEeLV3SAd7QoHY3xihav\n",
"6FA0Hbl2zZXezKL0po/Zs2dPOOKIIyb17NmzY7a15Cr19fUsWrRowMyZM890a0SoECaFQqFQKBQK\n",
"RU7RokWLm3v06KGMhxTIy8tj8ODBg9q0afNY4tJRx2ZC0KGGV+LUvKIDvKPFKzrAO1qUjsZ4RYtX\n",
"dCiajly75kpvZlF600dBQUErIdQEbKmSl5dHs2bNil0flwkxCoVCoVAoFApFphDKekgbQgjX9oDK\n",
"gXCAV2IAvaIDvKPFKzrAO1qUjsZ4RYtXdCiajly75kpvZlF6D33Gjh3LI488wogRIwC45ppr6Nat\n",
"GwDPPvssJSUldOrUiUceeYRBgwYdOC4/P58TTjjhwPYjjzzCqFGjmla8C5QBoVAoFAqFQqFQpAEh\n",
"BBHnyKRJkyguLubuu+/mnnvu4YYbbuDnP/85c+bM4fzzz2fevHm0adMGgFatWvHBBx9kU7orVAiT\n",
"A7wSA+gVHeAdLV7RAd7RonQ0xitavKJD0XTk2jVXejOL0nt4YBgGt99+O/v37+ehhx5q8DnA6NGj\n",
"+eEPf8jTTz+dLYkpozwQCoVCoUgbmqZNAO4yN+/SdT2UoHwhsBR4WNf1J5OpQ6FQKLzEgw8+yMyZ\n",
"M/n2229jlhk1ahQvv/zyge2amhrGjRt3YPvZZ5+lV69eGdWZCsqAcIBXYgC9ogO8o8UrOsA7WpSO\n",
"xnhFi1d0ZApN0/KAe4AJ5kdvaZr2nq7rRpzDrgXmp1iHZ8m1a+41vXO+/nb6+ura0lj7/zNvOa/M\n",
"X+Gqzq5tC1eO7tfjihSlJYXX2jcRuabXypSJFWmpZ+q0ctfH5Ofnc84553Dbbbfx6KOP2papr69v\n",
"sN2yZUvee++9pDRmA2VAKBQKhSJd9AOW6rpeA6Bp2nKgL/C1XWFN01oBpwIvAa2TqUNxaLO+urb0\n",
"/tDKU9JZ5x3+0nRWp/AoyXT808XkyZMZMGAAw4YN47TTTuN73/teozJz587lmGOOyYK69KByIBzg\n",
"lRhAr+gA72jxig7wjhalozFe0eIVHRmkBKjSNO0xTdMeA7YDHeKUvxH4fYp1eJpcu+a5pjfXyLX2\n",
"zTW9XsEwDIqKivj73//OVVddxcaNGxvsnzNnDv/617+4+uqrs6QwdZQHQqFQKBTpYgtQDFwHCOAP\n",
"wGa7gpqmtQNO0nX9QU3TrkimjghCiLGRUItIh8cr28BQIYRn9OSa3uqqba4XuEqEtc5M6q8oLDt5\n",
"bX3tDQhET1G4FmBKQa9hweZHbTK3v7tj38rFK4w9O73S3l6/H2z0eZLILEyjRo3iuuuu47LLLuO4\n",
"447jySef5IUXXqBjx468/PLLB2ZgApkDMWbMmAPbDzzwACeddFJT6x4LztpXRDLCvcaMGTOM8ePH\n",
"q0VCFAqFIgNk4hmraVo+MAuZvyCAd3RdPzFG2TOBnwObgCORA1qXAV85rSNT30PhHV6Zv2JmBkKY\n",
"3j9vxFFj01mnlYrCslHAfchwvD8DNTGKDgXOBB4DniivrdyZKU2HIgsXLpx5zDHHpPXeOFxZuHDh\n",
"+8ccc8zY6M/jPV+VB0KhUCgUaUHX9TpN0+4B3jE/ujuyT9O0C4Hduq6/ZpZ9HXjd3Hc5UKTr+mJz\n",
"27YOhcLLVBSWDQXuBYYB9wN/K6+t3JvgmAHIGceWVRSWPQxMK6+tjGVwKBSeQRkQDrC6x5UOiVWL\n",
"Lxg6C9gUDvjnZlNHtvGKFqWjMV7R4hUdmUTX9beBt20+fynOMc84qSMXybVrnmt6vUBFYVkZcuaw\n",
"McCDgFZeW7nHrmx0+5bXVn4F/KiisOwYpPFxS0Vh2VTgL+W1lbUZF58AdT8oYqGSqBXp4PvAOdkW\n",
"oVAoFApFU1JRWHYjMuRuPtC3vLbyt7GMh3iU11YuLK+tPB84D/k+/ayisKx7etUqFOkjKx4ITdP+\n",
"CAxAGjA/0XXd3STOTYxXrG+v6IBGWoqAUg/oyCpe0aJ0NMYrWryiQ9F05No1zzW92aSisOxm4GfA\n",
"yPLaylVOjknUvuW1lfOAMyoKy34JzKwoLBtXXlsZezWyDKPuB0UssuKB0HX9Wl3XxyFdfoFsaFCk\n",
"lSKgd7ZFKBQKhULRFFQUlt0C3ACMdWo8uKG8tvIB4C9II6JnuutXKFIl2yFMO4C4CUZewCvzIHtF\n",
"BzTS0posGRAebpOsoXQ0xitavKJD0XTk2jXPNb3ZoKKwLABMRBoPq90c66Z9y2srHwKeRhoRvVyJ\n",
"TBPqflDEItsGxJXAtCxrUKROEdDDFwyppHyFQqFQHLJUFJbdClyNNB7WZPp85bWVQWQ/aWZFYdkR\n",
"mT6fQuGUrBkQmqadA3yl6/qSWGWslq8QYmy2tg3DmJnN80e3Rbbbw0ZTEZC/ouLXP2hqPdbFZdT1\n",
"UfdrrO1oTdnS49X7VZE5ci2GPNf0NiVmXsL/IY2HtcnUkUz7ltdWPoJcsX1mRWFZk3r71f2giEVW\n",
"FpLTNG0EUK7r+i9ilVGLA+UOvmBoBdACuDgc8M/Kth6FQpGYQ+UZe6h8D4U9XllIrqKwbArwY8Bf\n",
"Xlu5Lp16XGi4CZgEjCuvrVyZDQ1eQi0k5wzDMBAi/iMymYXksuWBeAnwaZr2nqZpT2RJg2O8Mlrn\n",
"FR1gmwOxmCzkQXi4TbKG0tEYr2jxig5F05Fr1zzX9DYFFYVlP0UaD+NSNR5Sad/y2srfAo8C71YU\n",
"lrVNRYdT1P3gntLSUp588skD24MHD2b16oapMp988gm33XZbg8+mT5/OkCFDGDZsGD//+c8dn2/X\n",
"rl3ce++9dOjQgX/9618N9u3bt4/y8nK2bduWxDeJT1Zi1nVdPyob51VkjCKyZEAoFAqFQpEpzEXi\n",
"HgDGlNdWfpdtPeW1lb8zF537PXBZtvUo7Pntb3/LxIkTycvLazT6v27dOqZMmcLrr79+4LM1a9bw\n",
"2GOP8fHHH9OqVSuuuOIKdF1H07SE56qsrKRdu3ZMmDCh0b5mzZpxxx13cOWVV/Lyyy+n/sUsZDuJ\n",
"OifwSgygV3TAQS2+YCgPaAlUkoW1ILzYJtlG6WiMV7R4RYei6ci1a55rejNJRWFZIfACMKW8trIy\n",
"HXWmqX1vBkZVFJb9KA11xUXdD+4RQnDyySfz3HPP2e6/8847ueOOOygsLDzwma7rXHzxxbRq1QqA\n",
"q6++mueff97R+UaOHMlNN9104NhoBg8eTGlpKa+99prLbxIfNWuOIlVaAXuAb4ALsqxFoVB4AE3T\n",
"JgB3mZt36boeilP2fuAEoB64OrKwqKZp05ELju4Bpuu6/kxGRSsUjfk1sBI5lapnKK+t3GUaD29V\n",
"FJZ9XF5b+U22NXmRisKytNRTXuvedpw0aRI//vGPueyyhk4iwzB48803+dOf/tTg81WrVjFq1Chu\n",
"vPFGPvzwQ1555RVWrlyZiuwGnHvuufzlL3/hrLPOSludyoBwgHX2FKVDYtFSBOxEPmSzkgPhwTZR\n",
"OjykA7yjxSs6MommaXnIRUIj/vS3NE17T9d12xk7dF2/wzzuROBW4BpzlwFcpOu6q3n2vUauXfNc\n",
"05spKgrLTgMuAoaU11ambbYZN+075+tvp6+vri2129dq9mvs/eP06rrZ8z7/zydLPxfNChxp7Nq2\n",
"cOXofj2uyIRer5FMxz9ddOvWjVGjRjXKSdi8eTOtWrVqFNYU2S4tLWXr1q1p19O9e3eWLVuW1jqV\n",
"AaFIlSJgF7Aa6OULhvLCAX99ljUpFJ7HFwzlIxMz1wPLgJXhgH9/dlWlhX7AUl3XawA0TVsO9AW+\n",
"TnDccchQSCtqdiVFk1NRWNYJ+BtwWXlt5ZZs6VhfXVsadwaqvifzg48W8u09T538id/ZyPId/tI0\n",
"qVPEQwjB5MmTKS8vB6TnAaCoqIg9e/Y0Kt+7d2/WrFnDL3/5SwA++ugjSktLkzqvHTU1NbRu3dp1\n",
"ffFQORAO8Ir17RUd0EBLa2BXOODfjVxZvLOT433BUJkvGOqURh1ZxytalI7GeEVLlI5jgSBwC/AO\n",
"sNMXDH3pC4Z6ZENbGikBqjRNe0zTtMeA7UCHeAdomjYLOb++NWh4B/CCpmn/1TStb8bUZhiv3HtO\n",
"yTW96aaisEwAfwX+Xl5bOSPd9ae1ffPyePMHP2bI3A/ovmp52qq1crjfD6nQp08fjjrqKL766qsD\n",
"HftWrVrRqVMntmxpaJdqmoau6+zevRuAp59+mksuucTV+QzDOGCoRLNw4UKOP/74JL5FbJQBoUiV\n",
"SAgTwCqchzHdBdydCUEKRY4wBHgrHPCfGg74jwTaIT0RY7OqKnW2AMXA7cAU8+/N8Q7Qdf1k4Arg\n",
"WctnN+q6fiLwK6ShFZNsL8qntjO3XV21rZg0Y60z+nyL6nc9utuo64+877L+/ROxq20x75z3I854\n",
"6Rma76lJWL66aluxl65vptsnG1i9ALfddht1dXUN9l9//fWNciB69uzJpEmTOP744xk2bBglJSWN\n",
"ZmCaPXs2paWlB4yMCK+99ho+n4/XXnuNW2+9lTFjxjTS9MILL/DTn/7UiXbH7atCmBzglRhAr+iA\n",
"RjkQu8yPIwbEHAdVdAXO9AVDt4YD/p0JSyfWkXW8okXpaIxXtETpOBb4IrIvHPDX+oKh2cBIwNn0\n",
"G95kOdDfst1P13UnwbfrsX8n7QH2xTvQem2jr3O2t72uz+t62xa3r5JOrPQh62x8vorCsqMH5xVd\n",
"CpxYXlu5Nxm96W5fJ6woO5bSrxcz4dUXef3CKyDOomFti9tXuT2/l+4HLzzHE7FixYoDfw8dOrSR\n",
"AXHllVdSXl7O7NmzOeGEEw58fvnll3P55ZfHrHfIkCF0796dZs2aNfj8rLPOipscPXXqVC644AKO\n",
"OOKIhNrdtK/yQChSpTWNDQgndAXWAhmfhk6h8ChDgAVRn80DRmRBS9rQdb0OmUT9DvA2Fk+jpmkX\n",
"aprW4E2nado/NE2bATwF3GD5/EVN094HfgMEmkC64jCmorCsBVAB3FZeW7k023rcMut7F9Bx/VrK\n",
"Pp+bbSkKBzz77LOsWbPG1THfffcdTz31VCMDIh779++nb9++jrwPblEeCAd4xeL1ig5ooCU6hGmA\n",
"wyq6AtcCk33B0J/CAX9Ss1x4tE3Sgi8Y6g4Y4YDf1eJFXmkTr+gA72ixrJ8ikAbEF1FFPgWG+YKh\n",
"/HDAX0eEYeN3AAAgAElEQVSOouv620jjIfrzl2w+uyhGHRdnQFqT45V7zym5pjeN/BLpPftrJk+S\n",
"qfbd37w5r1/4E374t9+xst8galq3SUu9h/H9kFGaNWvGRRfZPvpi0rev+1SwgoIC1+dxXHdGam0C\n",
"fMFQb0CEA/6V2dZymBMdwnRaogN8wVBL5OJzLwH3A6NwFvZ0uDEJOTf+bYkKKnKObshru976YTjg\n",
"3+YLhjYgDfHF2RCmUBxuVBSWHQlcDwxL55StdkyZWNEFGb44BOiFnCxgu+Vflfn/mlFXjXZV9+Zu\n",
"PVk8bBQnvfMq75zvLgFXoXBLzhoQyB+7gZw3PKN4NH46q1i0JBPC1BVYHw7463zB0FNIT0RSBoRH\n",
"2yRddCWJMEOvtIlXdIB3tFh0HAt8EcPzFgljUgbEIYBX7j2n5JreNPEI8Fh5baW7mJIETJlY0Qs4\n",
"GWksDAGG1NXvb5WfVzAfGb64EvkO7YLMG2qHnHSgHdB38X+/pBMFbGrVPG5eg5VPxp3JFb+9jy5r\n",
"V7GhZ+pLMx2m94PCAblsQHQFdicspcg01hCmlUBvXzAkEoQkdeXgyOt0YKkvGLolHPCnf/WU3KYL\n",
"UJiwlCIXsct/iDAfmUj9XIz9CoUiTVQUlp2K/D2mnI83ZWJFS6TBcLr5rzMwE/gc+B2w4OE/XdGn\n",
"vr5uppO6SkpLPj3q83UlA7fUs6ZtK9a1acne/PhjSntbtOTDU8/B/z+diqtvgTyV6qrIDLluQDRJ\n",
"h9Mr1rdXdECjHIjtAOGAv8oXDBnIEZRtcQ7vCnxnHrPJFwy9BlwGPJ6CjqyTAS1dkKNTSevwBUMj\n",
"kF66a5vaQHPbHr5gaAJwWTjgvyzbWjJF1AxMjXIETOYB5zWJIEXG8cq955Rc05sKFYVlzYAngJvL\n",
"aysbr+6VgCkTKwQy3PB75r8TkQMDbyKnJf506rTyBrlMU6eVO/JyTJ1WXvPK/BUb/rypdmDb2n30\n",
"rN7NiWs2s6lVIavbtqK6RexE2sVDRzNk7ocM+nwui4cf5/ZrNeBwuh8U7shlA6IbkLNJhocQrYF1\n",
"lu1IGFMiA8Ia+/1H4M++YOi3ySZTH6J0Ado78OjE4xjAD8zxBUPnhgP+6JV+vcRgnM/ilesMIfba\n",
"Bp8CQ33BUMEhsjK1QuFVbkC+s/7r9IApEyvaIJ+pEaOhAHgL+BNw8dRp5VVxDk+K6sJmLO7UjqUl\n",
"9XTfUcOwDVWsbtuKb4pb2Yc25eUROlvjvOefYtmgIext0TLdkjzLivXbWFedeD2MZOnetiVHdW0f\n",
"t8zYsWN55JFHGDFCTqjXunVrdu48OFv90qVLef7557nnnntcnfuVV16hf//+lJWVuReeAXLZgOjK\n",
"wdCZjOKVGECv6ICY60DAQQPi8ziHRxsQHyHneR8LvJekjqyTTi2+YCgP6IgM0+sIbEpSR3vkmgKf\n",
"A+/7gqHLwwH/G+nQ6FKHE0qBth7RkhGEEGNHPjzjY6APYGvMhQP+7b5gaB0wEFjUlPoU6ccr955T\n",
"ck1vslQUlnVBLnZ4UrzEadPLUAacBZwB+JA5e28CZwOLp04rdzzAk0r77s/PY3VxERtat2DIhu20\n",
"q93Hos5t2W8TprShZ29W9hvEce+9wawzLkjmdCnrzQbrqmu4+ZUlGav/sfMGJjQghBANFpMTUUZe\n",
"//79XRsPAC+//DLnnHOOMiBSwRcMNcNlp0qRMaw5EOAskbor8FlkIxzwG75g6I/AVbg0INziC4aG\n",
"A/XhgD+egeMFOgDVyLUyepL8vV4MbAsH/H/zBUNLgZd8wdBD4YD/t2nSmU5KkcmDhzqDgGXhgL82\n",
"TplIIrUyIBSKzPAAML28tvKr6B1TJlYUIMORzkWGEzYH/gc8Brw3dVp5kwxexqK2IJ9w9/YM2LKD\n",
"0d9uZUGXYnY2b9yd++C087j8iftZNOIEtnbumgWlhy+G0dimrKmp4bTTTmP79u307t2b//63oePr\n",
"0Ucf5cUXX6SgoIDWrVvz9tsHo1yvuuoq3nzzTebOncvjjz9OIBDg3HPPzfj3iEdOGhDI0I46ZOco\n",
"43jF+vaKDmigxToLE0gDojTB4dEeCICXgXvdhm0k0SaXAkcC57s8LhNa4tEF2MBBA+Kz+MVj6miP\n",
"nNuccMD/kS8YOh5Y5guGnsh0uFgS7VFKhjwQXvntGIYx0xcMXUHj9R+iiSRSP5NxUYqM4pV7zym5\n",
"pjcZ6sKftUEmOR8YyjUToM9CGg1nIt9lrwIXAp+78TLEI13tawjBko5t6bajhpHrtrKkYxvWt24Y\n",
"qlTTug1zxp7O2Nf/yb8vv97xTE6Z0Hu4cc0119CmjVyLo6ZGhlS1bNmSDz74gPfff5/f/OY3DcpX\n",
"VVXx4IMPsm7dOgoKGnfN//znP/OTn/yEc845hwsuSN6jlE5y1YDoCqwAemRbiMI2hClR1lYjAyIc\n",
"8K/zBUNrkWtCzE6rwoaUAN/zBUOtwwF/VkeREhAxINYgDYhkaY8lHyUc8K/yBUO1NPYceYFSoCjF\n",
"nI9c4Fhiz8AUYR7wgybQolAcXtTXs/fxp/sBN5TXVlZPmVhRDEwEbkR6/F4GpjhNds4237Vpyc7m\n",
"BTKkac9+lnZojWExFBaMPoVj5n1En8ovWD5oSBaVHl48/fTTDB8+HOCAIRHBzjtRXFzMGWecwZln\n",
"nsm5557LxRdfTMeOHRuVszs2W+Tq/F7dgGVAoRnOlFGEEGPdlPcFQ8/7gqGB2daRSSxakglh6kZj\n",
"DwTAG8iktGR0OCUSvHimy+MSkubrE+2BSFZHMXJhIivVNEGokJv28AVDxUA+0rPYIptaEuELhgb5\n",
"gqH/+YIh19OsmjrsVqCO5jNgiC8YytVBHoWJl57bTsg1vW45+rM5kJdnVP7oF+9OmVjxINJDWwac\n",
"OnVa+alTp5X/IZPGQybad0dhMz7pUUKr/fsZ8d028uvrD+yrz89n5pkXcsob/6Jg317XdR/q90Om\n",
"SKaj/8wzz/Dcc89RUFDA6NGj+eabbxqVic6nyCZZeTlpmjYGuXDL+7quB5KoIjINaBWyI7Q5jfJS\n",
"wkx+PQ+oADKXyeMdokOYVhLHgPAFQwLZObYzIN5EzkxzZxr1RVMC6MAPzf+9itWAGJdCPQ08ECbb\n",
"kaFC36ZQb7opBb5Bfu+2QOam0UgSXzDUFbgHGf72b2SIkTtksmO8NSAACAf81b5gaA0yXyKRseEp\n",
"NE2bANxlbt6l63ooTtn7gROQq3Jfrev6Crd1KBROab6nhpPeeZWNP7pyb93+VouAvwPDp04rX5Vt\n",
"bamyPz+Pz7oUc/Smaoau385nXYupz5OdzdV9B7KpWy9GfDgDTu+fZaWKWNTV1dGlSxeuvfZaXnnl\n",
"FZYsWcKRRx55YH+LFi3YsGEDAPX19eRleY2PbJ29EJnAlCyREJjtNEEehMsYwD7IUfnGvqem1ZFR\n",
"otaBsBoQG4HWvmCoKMah7YHd4YDfbs7t2UA/XzDUOQkdTikB/gqc7guGWrk8Nt1a4pG0B8ImByLa\n",
"gGgSD0QSMzCtJEPaUr02vmDoHGR4ww7kvO8PIK+RK0Y++M5SwMDegI5mPjKROmfQNC0PaWSdZv67\n",
"W9O0mENmuq7foeu6H2ks3JpMHV7HS89tJ+SaXscYBqe/9T9quvfB6N9vFzBg6rTyG5vaeMho+wrB\n",
"l53asi9fcOzGKoRlFPz9My5g+Oz3qF+/sbmbKg/Z+yHDxJuFKXqWJpAeiwkTJjBmzBh8Ph+DBw/m\n",
"e99rGJBxySWX8MgjjzBu3DhuuummzIl3SFY8ELquv6tp2ikpVNENWIz0QDRJIrULhpr/d8iqiqaj\n",
"QQiTOaPSauAI7KeptEugjhy71xcMvYfsNPw9A1pBGhBLkTHmpyPjXb1IF+BrpAHRK4V62tM4hCni\n",
"gfASpUgDojve0wYyufLecMD/BIAvGKoBOieRr3EssMDhMfOQXo6/uVabPfoBS3VdrwHQNG050Bd5\n",
"L8fjOA4+L5KtQ6GwJb++nhHfrKX0izk8d/0vueGE0pU3/cx/aM7iKAQLO7dj6IYqBm/czsLO7UAI\n",
"qtt3YPGwUYz64zNHcFZqi8t5me5tW/LYeWmPIG9QfyLee6/hZJLV1dUNtk855RROOaVhF1gI0ei4\n",
"aE466SSWLVvmUGnmydX42q5ACNkRapJYbhdW+FDk3P1pNyC8NB9znHUg4GAehCsDwiSSB+HIgHDT\n",
"Jmb4VAlyRP6fyDCmtBkQab4+EQ/Et0BPNx3VKB12q4I3WQ6Ei/YoRRoQg8mAtjRcmw5Y7ttwwL/H\n",
"FwztIfGq6w3YuerL81v3PtppSNJ84CJXKrNPCVCladpj5vZ2ZNvF7PxrmjYL6bEdk2wdXsZLz20n\n",
"5JreRLTYV8ewDVV0nz+TBSOPp6oku2N7TdG+hhAs6FzMsPVVDNpczeKObUEI5p5yOiOeuLdLRWHZ\n",
"keW1lY0D7LOkN50c1bV9wnUaFOnB00nU1uQdIcRYy3bX9e+/1G3v9s0FmB6IqP3Z3B4KfLBn89rB\n",
"6a6fg96NrH9fYGhBUdvxSCO0Nmr/qu1L550a4/iuwPo49b8JnJ7XrPm4dOtfGLz8dGB/OODf8/Vf\n",
"b99g1O0/zxcMFaarftJ4ffbX7Oyz7t3neoQD/h3A3iV/uPFst/U1b9vxVOT12R21f/v2JXN9mb5f\n",
"3LTH3u2bR275PFSENG7aZuJ+TeX4fbu29904+z89rPvr9u6pxgxjclpfs7YdjwIWOCn/5aNXFQHH\n",
"+IKhZhm6PplgC/KZfDswxfw7bo6arusnA1cAzyZbRzafhZm+9w53vdVV25KOMijes5fR67ZSVbeb\n",
"zssWMffk0xvV6fX2TZb6PMHnXdvRem8dA7bsAMOgpqgN9aeevGWjsXdapvRmoT0VacRN+2bTA5Ew\n",
"ptVq9UZZwN26nnLh68BwzNHKaAs5ndt21nes8r5g6Hng8RYde46OV0eS2+muL5Xtx82Zc3aGA36D\n",
"QIP9q9r1H1lk9/19wdDPgfXx6vcFQxtH/PrNneGAP5xO/b5gqCfmaHFV5Sf/9gVDk4BTgf957foU\n",
"tGzdqvuEH0dWjF478LonVoUD/i9ilY/R1l2Ri8hFX5/qdgNHrbc7Js3bjutv3q5j6w5D/a8hQ1Xa\n",
"GYbxcrzyydyvqRzfrKhdQecTvj/Dut8XDEWSvpc4rc8XDP0e+MIwjM8cll8FHJ2J6zNjxgwywHLA\n",
"mqXZT9d1Jz739UBkRj3XdTTBvZzKdkr33uGut21x+yrphHJH9x019N+yg4Wd2+F77TU+O24se4pa\n",
"W+psGv2ptm8q1OXl8WnXYkZ+t42+23axrKQ1Rddc8XXef94cVlFYdnR5beWXuXY/pLN9FI1x075Z\n",
"8UBomnYrcDdwjqZpT7k51gxDiYTBeCoHwkz+LQI+5fDIgbALX4L4U7kmCmEC6YU4IwVdsSgBtlq2\n",
"I2FMnsK8xzsjE9Ih+bUg7PIfwNs5ENV4TxvIEJvoUfANuEik9gVDLZCTLCx2cd6cSqTWdb0OmQD9\n",
"DvA28jkPgKZpF2qadpa1vKZp/9A0bQbwFHB9ojoUioQYBv237ODIql3M7V6CqN5M72VLmH+iP9vK\n",
"ssL+/Dzmd2tP5117KK3ahWjXpg54GLg/29oUuU22kqgfAh5K8vB2wL5wwL/LFwx5LQdiCPA5sqNx\n",
"yOdAjHx4xnfYGxDLkImQdnQDvkxQ/RvAvea/hDpctEm0AfFv4C5fMNQ8HPC7nyA7NS3xKAZqLDNV\n",
"uZqJyaIjVnx+NaklZjfCFwxdiAwPO+A5cNoepicrD6k1I8ZNKtfGNOg6IENrrLgyIICyutrd6z+9\n",
"4+xaF8cswrJabi6g6/rbyI5/9Ocv2Xxmm+MRq45cxEvPbSfkmt5oBmzZSZu9+5jTvYT9+Xmc+u5/\n",
"CZ98GvsK0768TFJko333mUbEqHVb2bB4Q+c28AdgUkVh2ejy2so58Y718v1gGEZ94lIKJxiGUef2\n",
"GE/nQMTAOoLtKQ8EMub7M2RH43DxQNitZvwlUGauiRGNEw/EB8BgXzBUkqK+aBoYEOGAfy1yRqZU\n",
"1lnIBJEE6giup3I1sZvCFTLTSb8aSHaIrxRYaSaJx03w9gVDPSN5K01IG6A2HPBHd/w3IO9np5TV\n",
"1ex0lLgYdY5OLo9RKA5LOu/cQ6fdtXzepZj9+Xl0W72CTt+tZcGoMYkPPsSpLcjnsy7FrJ23pu+i\n",
"K+8cihyg+3W2daVCbW3twh07dqQ8+Hc4YxgGa9eu3VRbW+t6rZ1cnIUpsogcHFxILqNExef3BLqG\n",
"A/55NkWHIkfNtgAdkpji0bGObGPGgI/BxgNhLoK1GTgSGc9sJaEBEQ74a33B0PvI/IR/JNLhQna0\n",
"BwLgX8gwprdc1JMOLfGwMyBOSkJHrBCmtM7CZK6nMSb6XC7aoxQZvgTSuOkTp+w0YDryujkmxWtj\n",
"F74E8hqNclFP1+bFneMuIGfDRmQ4myJH8dJz2wm5pjdCy337GbS5mk+7tWd/fh4YBie9/SqfjDuT\n",
"umbNElfQRGSzfXcWNqP3CaVLVsxc/q8l2k1jBuq/DVQUlk0or618N9YxXr4fqqurb16yZAmFhYXH\n",
"CCFycUA8qxiGUb9///6aPXv2PHrCCSe4TorLRQOiGwc7oE2ykFwUlwI/AHw2+4YCD4cD/hpfMFQP\n",
"tMI+xOdQIXoVaiuLgGOwNyC+a1y8EZE8iLgGhEvsDIj/ALPSbeylSLo8ELFCmNLtgRgD1OFuNN5K\n",
"KQcNiETGTUcysEhjAjrSOHwJ3IcwWfNanLLR5TkUisOOvHqDIRu2s7x9a6oLpbHQe1klRTur+XLY\n",
"6Cyr8xYd+3bcumLm8r/sb93ulX2tWv+62e6dv64oLJtRXlvplfefY8aPH18PZH9FtcOUXDQgokOY\n",
"mjoHYgAw0hcM9QkH/Ac6x+Yo7JEcXPsgEsaUNgPCS7GIZg5ErBAmkAbEYGQHHQBfMNQM2am164xF\n",
"8wZwR6KOfRI5ENEd6uVAPXLUO6UVWtJ4fVIyICw6YoUwpXsdiNOQ+SQNVidy0R6lNDQg4hk3Jcjv\n",
"5YoUr00HYnsg3HTuu2xfMke4jPRSHogcx0vPbSfkml6AAVt2sLtZPmsii3zV13PSO6/y0YSzMfLz\n",
"G5Uvblkw8JX5K2amU0PXNs17rt+xd22ictVV24qts0DFIz9PZGpFtCeAAV9pky4+evr9zQScj3yG\n",
"NyLX7odc0ptLWu3IVQMiMoKdDQ/EAGTn+ELgQcvng4GvLMm4EQNiddPKa1JizcIEsBA4J+qzzsCm\n",
"cMCfMFknHPCv8AVDIFe0XpWKSAvtgQYx6ObK2bOAU0jRgEgjdgZEryS8JO2x9/ak2wNxKvAL4PtJ\n",
"Hl8KvG/+nWhihBLzX1MSL4TJlQGxb2fVUpfn3kRyK14rFIcFXXfWUFKzl096loCQs8P3W/w5AF8P\n",
"Gmp7zLaa/S2mhlaeYrszSab4S7dPDa2MF35pwdm0tFP8pe7nr3XA1GnlxpSJFTeSl/fad8efuab7\n",
"x6/fX1FY9kp5baXrRFrF4UsuxoxZQ5iaJIk6ykIcANxH4xVihyJnYIqwhTSHWnjJUjW1OAlhsuIk\n",
"gdpKwiks05ADAbLzerKLetKhJR7RBkQ1YOCw09+UORC+YKgb0jsSAgp8wVBrGx2JKMWBB8JMyk/K\n",
"A5HBHIgu5ixNTujcceTpMWON7QgH/DXAHprA06rIDF56bjshl/S22rufgZt38EWXdtTlye6MqKvj\n",
"xHf/x4enngt5udjFaRqmTivfD2hbB47os7eobXPgx3blcul+gNzSm0ta7cjFX1e0B6LJXqy+YKgj\n",
"0mvzL2THwbrYkZ0BYTsTky8YKvUFQ/MzJrTpiBfCtAQ4KmrGnLQbEC6JZUDMIg0GRBrpgiVW3hx5\n",
"TmYtiKbIgTgVmBEO+Pcjr20y8fqlNEyijqWtDfKZ1dQeCLspXAkH/LuBvThvy2jD0CkqjEmhiCKS\n",
"9/B1SWt2FB5Mkh70+Vx2tW7Lqr45NftxVpg6rXw7Qpyz9uTvF9fnFzxUUVjWPNuaFLlDrhoQ1iTq\n",
"ti5GAJPCsqx3f2SYUh1yETKrF8KxAQEcBQx1Ox2ll5ZvN7XEDGEyp7z8hoYryro1IOaRwIBw2Sax\n",
"DIglQJEvGDrCRV2paomHXUdzLQ7XbrDoiJUDsQto4QuG0hHCeBoH5+tfjyWR2kl7mGtACA56SuJ5\n",
"RyKGQ1I5EG6PsRDLAwEOw5giiwMumHpxMjHNyoDIYbz03HZCrugduKWaHYUFfNum5YHP8urqGD3z\n",
"DWZPOPtAOJMiPlOnla/Y3a30vN2de7Wv6dD19uj9uXI/RMglvbmk1Y5cNCAOhDCZo541yFCapmAA\n",
"8JX59z8wDQhfMJQPHAtYp2iMZ0B0R7Z938zItMcXDOX7gqH3zWTmdBAvhAkOJlJHsIafOWE+MCKN\n",
"BqKtAWGO8GfUC+ELhvr5gqEhDovHMiDceiBsDQjz++5AjugnjRlSNAG5YjBEGRAOKeXgGhAgDYg2\n",
"Ma55CbCfJAyIFElkQDj5zu2APfu2b0pmznJlQCgUFrrs3EPxnn1UdmzTwFA4+tNP2F7SiW9Lm/TV\n",
"mvNMnVb+UXXvAQ8U1Oyc8sA59yU7m57iMCOnDAjLLD7Wl3nGE6mjZmCKGBAfA+18wdDRyBl8NoUD\n",
"fmu8eTwDopv5v6vRyDTEy5UgO8n9ExV0qCVeCBM0zoNw5YEIB/zrkB3GmJ6BJHIg7EbkIQ15EAm0\n",
"/AR4KlEdZsc5JQPCQQ4EpCcP4higOhzwrzS3GxgQSczAhOndizUoUIJMqHcdwpShHAhwnkjdBdiY\n",
"pA5lQOQwuRbn7HW9efUG/bfuYHHHtgfyHgDy9u9n1PtvMnv8WVlUl7vc8v5jd+1vUbSm5aZ1M6dM\n",
"rDgwyOj1+yGaXNKbS1rtyLVZmLrQeBafyFSua5rg/AOAFwDCAX+9LxjSkV6IRTQMXwLZ4YgVftMN\n",
"2UkakCGdsYisaHsscrXoVIk3CxPIdrnCst2Vg7PtOCWSB5HSTEym8dkCOfJuxyzghlTOkYBSYLQv\n",
"GBodDvjnxCnXBqgLB/zR7boWd4uWQewcCEhPHoQ1fAlS8EBEfRbRFn2tSpAzZZ3g8hypYpsDYeLU\n",
"gOhMcvkPkIMGhKZpE4C7zM27dF2Pucqppml/RD4L84Cf6Lq+wvx8uvn5HmC6ruvPZFS0Iic4ono3\n",
"1c2bUdWyYbj+4E8/ZlunLnx3xFFZUpb7FFZvvbjD4rmzthw9+nHg+mzrUXibnPJAYL8IWcY9EJY4\n",
"tQGAdRrGSBjTMBobEIlCmD4ijgfCFwwN9wVD1/qCoRG+YKh5lI5kiXRCnIbSxMTUkiiEaSENQ5jc\n",
"5kBAgjwIF23SHtgWZyrMRUAnXzCUtPs2gZZS5JoYP0tQTaxEW8ceCCHEWDOsrjXS02BHOjwQp3Ew\n",
"fAmikqgdXptSGhsQsWZiinggWrkNw8t2DoRZZkOSOlwZEL5g6BZfMPSyLxjKygpamqblAfcg74/T\n",
"gLs1TYsZhqjr+rW6ro8zjwlYdhnARbquj8tl4yHX4py9rLdZXT2lVbv4uqShgzJ//z5Gvf8Ws/3K\n",
"+5AKl+z6Ym7evtpQyZJ5P5wyseKn4O37wY5c0ptLWu3INQ+EXQe0SRaTMztkRwFfWz4OA82Achqv\n",
"hpgohOkt4Lw4p7wZuTDd9cjZjL7s/9PgR8BM1+IP0gnYjfRApINEHogVyNmq2oQD/h0kZ0DMx+FI\n",
"iC8YagdMDgf8U2x2x0qgBmTojC8Y+hAZxqS71OiEUuBq4ANfMNQ1HPDHagfHBoQZ7nQL8KQ53aeV\n",
"YmR4UX2M86TkgfAFQy2RC8f9wPJxsh6IaK9ULOOmBPm72ob8fptcnss1Zhsn8kAMd1BVg5m1XLIB\n",
"OMlF+VOQbaj7gqHlwAPAu024jkQ/YKmu6zUAmqYtR+Z7fR33KOlxis4RUZmwigP02baT71q3YHfz\n",
"hl2XwfNms7lLd9b3OjJLynKHRIvotfz9r1t3+eXU9lVDj39y+svzr3v23XnilfkrEi5853QhPTd0\n",
"bVu4cnS/Hleks05F+sg1A8IuCbdJciB8wVAfYIM5dSNwYBEyHbgV9x6I94Bb4ywQNRz4UTjgX+AL\n",
"hooAf9t+w6chDYtk6YQM1UnZgDDbZCpxciDMTvkSYBAwh+QNiJGx2ikqhnAYcJMvGLrDpmxcA8Ik\n",
"kkgd14DwBUOlwLBwwP9yHC3W8i3M8y9Geq2uQY622uHGA3EGEARmAJ9ZdZj3a6zwJXDhgfAFQ52Q\n",
"bfIc8Lw5w9YY4PNwwG/1cDRIKE4mB8IklnFTgvRAbjP/dmxApBBr2hbYY35nO1yFMDVRDkQpcBky\n",
"7+ZHwG+Bzb5gqDwc8H+bxPndUgJUaZr2mLm9HfksTGRAXInUGmEH8IKmaVuBm3Vd98pCj67ItThn\n",
"r+pttXc/XXfu4aNeDZdXyt+3j1Gz3ubVS67OkrLcIvEieq05t/uRVK9cyKIZBUPndC9hT7PE69m5\n",
"W0jPGXf4S10f49X7145c0mrHoRDC1CSLydEwgdpKBfIFH73idCIPxJfI0bZGnQ/TYChFdjgx4+Ff\n",
"Bzr6gqFWSWiP0BnpNWnjC4ZiaXNDohAmMMOYzAXGBPGTrhthJlLvI04itYX+SK9IrNHrRAaE00Tq\n",
"M4BJDspFOAJYY3oDfg9cGwlLsyGWAbENaOYLhtrAgRmQppqf203vGmsK1whuPBB+ZG6GBqzwBUO3\n",
"Ij0Pb0eVS1cORDwPxFbk92qqmZjieR/A+doXya4BAS4MCNNjUoqc2WpfOOB/BhlG+AYw1xcMNcV6\n",
"J1uQz+TbgSk0nviiEZqmnQN8pev6kshnuq7fqOv6icCvkIZyTKyhAEKIsWr70NmurtpWDNB/605W\n",
"FhexL79ht+XYeR+ysXsvNvTojVPq9u/PtcHTtOHku8/2n8mgT95jdVEBwzZUkV8fy5GdebJ9/x3u\n",
"2/HIRQOiyUOYzMa0NSDCAf8CoL/NiPd25NoCDX6skQ4gcnTtK+zzII4FFocD/n2W89TV1dZsQIZR\n",
"JY3KZqIAACAASURBVEsnZGdkISl6Icw2SRTCBAdnYuoKrE8yjCJmHkTUjd7P/N8uVyDeDEwRPgN6\n",
"OzCu+mJj0MT50ZVidpLDAf8ipGH4wxhlbTuaZrtZvRA/QM5Q9Q+iDAhTRyIDwk0OxEnAP8IB//eA\n",
"M5HX80pkp9RKg5WZEz2EbNaAiBDLuGmPNCC24nImphRiTePlP4A7D8TGJsiBaA/UW2eECwf89eGA\n",
"/wHkNXvJFwzdmOG1c5bTcKa3fvG8B5qmjQBO0XX98RhF9iAHEWJiHckzDGOml7a9rs/retsWt69q\n",
"X7OXNnv3sbptw/Gzgn178c16x3XuQ35BwX5XBxxCOPnum7v1ZF3voyhZMp/q5gUM3lgNRlNFQDYk\n",
"1+/feNtCiLFe0mO3HY9cMyC6kYUkapP+NEygPkA44G/k3zNHm6to3NHpDnxndgiXYD8T03Dg0+gP\n",
"62p3f4ucMjZZOiHDPhaQnjyIRNO4wsG1INyuAWHF6YrU/YF6Yo/Ix/VAmOuKfEziePM+QE8zL8YJ\n",
"pTQcZX8CuDFG2Xgj1WvN8xYA9yJHd1dj752JN4UruPNAjAE+AGkwhwP+S4H24YB/nrWQmYdRg3Pv\n",
"QCkN14CI4CUPhCMDwkGHPBUPxFbklNFORk1LaezRASAc8L+FzFv5CTIcLSPoul6HDNF7B+mlujuy\n",
"T9O0CzVNi+7tvQT4NE17T9O0JyxlX9Q07X3gNzRMrlYcRhj1Bv237ODrktbU5zX8mR0790PW9yxl\n",
"U3dHa2wqXPCx/yxGfvguS9sVUlhXz5FVicYKFYcbuebGi+WByOi8bWZM+Z3AywkLNyQSxmRNnrQa\n",
"QbE8EMOBudEfNm/bYQ6pLT7X2dTyBe6nBG2A2SaOQ5hILv8hwnxiTLEaZSn3R3orYnkgEoUwwcE8\n",
"iFfilOmL/O10Q3bq7bRYKaVhp+5/wOO+YGhUOOCPvs4JDQjgUuR1fAdpFFrX2ohcm6tJ7IHoFmc/\n",
"cMBL0IcogzYc8McyHCNhTFsdjGKUYt/ZjZcDkZQHIoVY07ghTOGAf5cvGKpHhnjFmvEKDq4DYTsI\n",
"EQ8zl2gr0phJ9BsqJYYBYdb1jS8YOhG4w60ON+i6/jaNQ9zQdf0lm89sn9+6rl+cAWlNTq7FOXtN\n",
"78bKDZ0RsL6oRYPPC/bWMvKDd/j35Wq20UywpUt31pb2Y8jcD1hwvJ/R325lR2EzNrcqzLa0uHjt\n",
"/o1HLmm1Ixc9EE2eRG0SKwciHluQL30r3YB15t+uPBDIOfBTMSAiHogvSHEqV3PEtRWJDYh1QCGy\n",
"k5uSByLeKK/pDTgSOUuV3XCUUwPifeQsNrHOk4c0WL8EnAbdltJ4sbQnsfdCJDIg+iDn159ijtyv\n",
"IbYHIh05ECcA4XDA73QFZTd5EKXYd3bjTePqNQ8EOAtjSmUdCHAexnQkcQwIgHDAvzsc8N+eghaF\n",
"okmYMrGi5brP1x31VUnDFacBhsz9gHW9j2JzN0ezWyuS4GP/mYz88F3q6/bxRZd2DN64nZb7Dtvo\n",
"L0UUWTEgNE2boGnaB+Y/v5NjzM5jVnIgWnU76gxkh8XtYnV2idTdOeiBWEKUB8IXDBUijYqF0ZVt\n",
"mvt6EekxIBYBgxyGRNjyxQOXnArsM8N+YmJ2chcBE2gcfuYIM5F6L/HzDnojO2hfk5oHYh4w0PSu\n",
"2NEN2cH9MlqPkxwIC38BzjZnOLKSyIC4DqgMB/wfmp+tIXYORLwQJqc5EAfClxxywIBwEO9fSmwD\n",
"ooE28/cfyWPxUg4EJDAgzClvmwPVKejYGO8cFkpJYEAompZcm+vdY3pvbNm+5Y7oReOa1e5h5Ifv\n",
"8rFa9yGjbO3cjdV9BjL0k/epatGc5e1bM3T99qwmVSfCY/dvXHJJqx1NbkC4XWTIQltkhzV6xDvj\n",
"HojiwWN6AV/HmVM/FnYGhNUD8Q3QzZzmM8Jg81x7oivbtbryW5I0IMwR+hJgi7kmw7pk6wIo7NCt\n",
"JYm9DxEWIkOmkvVAQOI8iEiOSqMOtYkjA8KcrnMpcupZO/oiPUGrSdIDYZ5nGzJM6vKosokMiPY0\n",
"DD/5FnkPRedjpMsDkbQB4YDhmDONRWGnrSVgmHkWueaB6AJsTHEdBqceiFLkc0WhyGmmTKzoBAR6\n",
"jT5iRfS+oXNmsba0H1u6dM+CssOLj8edwYjZIZrvqWFN25ZUFxZw9KbsJVUrvEM2PBAHFhkyFxqK\n",
"LDKUCLsEamgCD0SP0y7fQYwE6gTE9UCYo/ffcHD2IIgdvkTpD2/Rge6ml8ItJUCVxWPwBSkkUg+4\n",
"+jcLcG5ALALySd2AGBn9oSWGMGJAxFqx2cksTBG+BI6Osa8P8p5dRZQHwi6e0bIGhN29+xRwdSQ0\n",
"y5y+Nx85Q5cdHwM3hgP+A/eHGVq0GUs+g6mjmBRnYTK1DwU+iVcuigMGRLz4Tl8w1Ba5boedcWKn\n",
"zWoAbsWlAZGpHAiTRAbEgfClFHS4MSBWJnkORQbItThnD+mdDLxY1KGowSKZzffUMOKjGcr70ERs\n",
"69SVlf0GMXz2eyAElR3b0nJ/HaXbdyc+OAt46P5NSC5ptSMbBsSBRYbMhYYiiwwlIlYSblPkQCST\n",
"/wCxPRDWzuRXNMyDGI5lUTAr5rSua5CdBLdEwpcipJoH4WQGpgiLzP8z6YHohwxfWgP0ssmXcBrC\n",
"BPENCLceCOsaENF8jAzNGmtud0EuVmg7tBMO+DeHA/7f2exaTWOvSzo8EKOQ0wm7WbvDqQdiLPCJ\n",
"dWHGBNqs1y+ykFxT4MQDkWgtiFRWoY6Q0ICwrAGxKsVzKRRZZcrEihLg/4CHovcN+3gmK/uWsbWz\n",
"2yVnFMnyybgzGPbJTAprdlOfJ/i8SzG9t++mZHes9TUVhwPZmIUpssjQdcg54P9AjBe0EGI65mha\n",
"l5O1ccVlxx0hxPi7zd2lAPmt2n475FcvdTTLwsHRt9J0bQ+45pHLti+dv1ZMHj/dSfnIdvfTf9K/\n",
"zZHHthBifE1k/5A7/3nMNy8+eL6YPO/HAH0uv7dj/b7a64QYfzbAMb98YcK6d54pNM8VXX/Xo2/5\n",
"K5vnvn6nmDx+n83+mNslQ8cd1238pe2FEHcDdD7h+yeXDJ/QT4gD9ThuD4C2/UacfsT5N3WO1Bev\n",
"fPOSri2Pve15Fv3mysli8qrFicrbbRd26lk26MZpp4i8vLtN12lkP8DKspv+eMGmj19dvHnu68XD\n",
"f/1Gs4UPXvq8mLxlb+T4Yff9t9eXj/zfPWLyxq/s6rdudzlF618yZNzJQozvGL2/7MY/+LZ/Fa7c\n",
"sXzByNILf3FC1PfvysHR+lKAzieen9/p+HPzYt2fvS+YtLpVj36/E2L8vOKjT+zU69zrC8w6HbdP\n",
"2Y3T2mz9PPSAmDx+pbm/dPDkZ4ev+d+0n4nJHx9vd3zzkq4Dj570p57xrl/vCyYd26y48x7zN+dI\n",
"T+eTLijodNw5x5vft1F7RMr3ueyei/Zu37RTTG74ewZWtu3v61R64S0Drb//kqHjjuvmv6STEOLu\n",
"dgNHd+59waSjrfsd6DsO2dFf2frIY9oj8nrvXLGgKtHxQ3710qCV/3zkQjH5k8vt9gMrj/j+z0Y2\n",
"L+7ST4jxve329zp74rAWXXr3F6LBbzqR3gbb3U+74tSingM6CTG+Nlb5Zu06FR4z+ZmCT6ecOUlM\n",
"Tlz/u+++iyLzROZ6z7YOp3hE7w3Af6ZOK1/zyvyDEUyFNbsZ/vF7VFzzi+wpOwyp6tCZZWVDGPHh\n",
"DGafeg61Bfl80bkdx27cztzuJdQ0czqjeebxyP3riFzSakc2DAjHiwwZhnFF5G9fMLQd6G0Yxt3W\n",
"MuaoW2DkwzOuMePX087w+/77ozZ9hv7iu9DzjaZWjYcvGPoBcKlVsy8Yqu5/1UN3RBZ68gVDVwAT\n",
"Vjx//xW+YKgZUHWkNvmmzeE3G4WxCCHGtuzS+4e9zpm4dP2sl56I3p9Ay4XARREtvmCoDxCKbk+n\n",
"9D7/xu0tOvY4z+nxvmBo6+Bf/PU35gxESeELhtaNfOjdv4UD/gMjrJEfoC8Yurzoh7dM3DTntWW+\n",
"YOjCIXfoD4QD/oXmcXnAHcfeXvHjREnfZvkjgfet959l3/yingMeZvylXwOrRj48456Ix8DuYWBO\n",
"p1prGMZVMc5VDKwc+fAMP3A88H9ur4kvGGpT1LP/d+vf138T0dGiY48T+11x/8/DAb9t6J0ZBlcd\n",
"71y+YOhN4I+GYfzHhZahwDOGYVwR7+HoC4Z+BFy1+j+/W2Czrwfw/ajf/wXAjw3DuNsXDHUHzre7\n",
"PrGwavEFQ1ORM22dFA74v0zwfdb3+8nU+8IBf8wJACzabPX4gqHbgcWGYfwy2ReGLxj6DLgqwfUa\n",
"AQx0ev/MmDEjOv9Gocg6UyZWtEYaEGOi9434aAbLBx5LVQen6yoq0sUnY7/HpX94iE9PGMeeotZs\n",
"a9mcb4pbMWRDFXO7N5VDWOElmjyEKd4iQwmwDWEyO2/bSSIPwhcMDfAFQ/fFWxDMFwyJ/BZF3Uku\n",
"B2IzlhAmM8a9mak3gnUq14HIcBfbGHiz45HsVK7RIUzfACW+YCipZNT/Z++8w+Oozj38HlVbkovc\n",
"cLcxNkZgginCdNsyECA4gQQOEUlIQgJBpN0UUSISShAElAK5SQTkJqEkLBlIAgmh2FiYbhBgwAbZ\n",
"uDcw7pab+tw/ZlZerWZ7mVnt9z7PPtKUnf2dmTPlm6+cEadcsJLoQ5horK64IxHjweYNrDfJ3djG\n",
"QyFWaNhae3ZwIvVAYG80xoPNOqx90yOMxjZW/SFM/gpH3f0uxIPhxABdvbANyX9hJVPHO9hYj1Ku\n",
"to6wIUx+Yzsogb8b+5w4GXjZaXkYIuZA2AbaQBwqjdk4lXENDmEqjWU05SAtg7HCBJ8ur2sIOQJV\n",
"QOWnaHIgwsVTdIcwpTgHImIJVyH9ZNobRg/ovQJ4oba+skfYcL99eznm9ZdYNPtcl2RlN3tKh7L8\n",
"6OMof2l+97z1A4vYn5/L4TtCpe2lHw/036jJJK1OuFLG1TCMeYZhnGZ/5kf+BmDdoEO9BYw3kfoL\n",
"WCOc/iWMETEa2Of3GMRIcA7EKOCjoBj35cBU+2ElZAJ1ANEmnQczggADwo7JX0LQIGQxUEz0SdTJ\n",
"ogGrHGwwhwHrAgyE4ETqWPIf/Pumid55EEOBrsbqih32MYwmD2IikR/q7gOuxOrj8RoQ3Q/Cdl8a\n",
"TPgyrhA+D+IYYFNjdUWk+P9gtmIZX+G8m2cD88JUNdsHFAWdk93H0K7EZGJVZoqHQcBfgLuAZ8vr\n",
"GkK9PhsItEQxBkbUSdQJEI0BMRGpwCRkMDVVvkLgR8DtwcvKX36OD48+lubSaFImhVTwxqxzmPbW\n",
"axTtsd+BKsUHwwYyfH8rO9bsyLSBiYUEyaSB5JwGkfMTbyL1KVhvO0YBD4V46Jnasa853uTfYAMi\n",
"cAwIoLuc5wFbQ1gDwq4ZnIgHIjiRM+5KTLuXv3E86TcgngPOCnzzbO8TfwUmP8EeiFgqMPlxSqT2\n",
"ex/89KjEFKKm80QiGxCLsPrAJcT3oLk+UMf7v7nyXKwH3/bQXwHCV2KKtXwr0D1I3g5geJga12fj\n",
"MEpxwDa6sCpRDQiYHWwExlTKNUjLYKyKZL8G/gv8p7yuocjha9EkUEOUZVwddMRCtAbE2ji3L6SI\n",
"TKv17rLerwBLa+sre9wHi/Y2M+3NV3l95jkuyRIA9g4cTNP0EznxxYPvfTtyc3hvxCDWvbKmqLAj\n",
"0SCDxMmk8y2TtDqRSQbEJEJXF4nZA2HHxZ8MLAA+i/WA8rCdhxDI1I4De2IdQM7Pdqy3sf4H3lCl\n",
"aJdjhS9F44FYA0yIYxC44BAmSMCAyMkv7EcMIUxJogkrBCzYgAo2IBLyQNg4GRD+Eq5+kuKBsL0Z\n",
"92KNPZGwB6L/iPElRGcwhfNAxGVA2ISsxGT32wosYzAcwcZN8DGMeTC5AAZxMIzwWqxz6l6H9aI1\n",
"IPYCKszgg8nwQOwFcuwwyFBMxAMGRCwDhWqt79FaP6+1fkFrPSmebQh9g5oqXy7W+djb+/DiPJqm\n",
"l7N3ULqGfxFC8cYZZ1H2zhuU7D54i9ndr4ARRx7SevSW3TI+RBaREQaEfdMcTc+3v4HE44E4HGhu\n",
"rK74yA6JuAArLOeJ8rqGa+3PdcAl/YaNWRiPbjv0oZWDb1JHc3AQuUCWAWVYNfcdS7iCFS9nDzC3\n",
"GYdRmSPgZEC8S5ylXAdMOuZj0uyBsB+05xMQxmTHEPpLuPoJ9kCUkhwDIqwHwiGBuh+WByqaEbj/\n",
"iuWFiOdBcwsw0B7xmElfumE50RkQjh4I2+BN2IAIEd9ZjhVuFsmrF2zcJOSBcMiB2AXd3o7/AT5r\n",
"v1QIJJoxIPz9MpwXoju3Jd6YV/s3InkhJuKyARHrQKGGYVxlGMZs+zvV8WzD62RanLOLei/C6uMv\n",
"Bs7s2vRxwZGL3+CNM852R5XQg/0DBrH0+JM58YVne8wfPX1Mq6kUk3alOzChJ5l0vmWSVicywoDA\n",
"ejO7LEwSbDw5EKcAr/on7AfzzwOvYL15HIr1gPIa8M9YBQew3d4ehPdAzAW22iFNkYgnjGkEvUOY\n",
"lgJHhUsiD0MJ6Q9hAjuMKWheujwQwQZEJA+EfwyIiH7dxuqK3cDnsBLFY8J+CN7EwTaXEjn/AUJ7\n",
"IKYArYHVrmIk3FgQYcOXAghOpHYyIJLhgcDO89hBzwEdIXoPBIQwIGyPy2CiMESi/A1HA8JDY0DE\n",
"O1DoHqwxURLZhpCh1FT5FHA9cHttfWWPV9jt9z44YenxJ7N/QErHixVioPH0s5i65G0G7jx4WVM5\n",
"iiXDBzKu+QClByKljQl9gUwxII7m4GBkTuwidg9EDwMCrMo0jdUVtY3VFdWN1RXXNFZXXNtYXXH9\n",
"m9fMifVtfyCBeRCjCO2BOJMI4UsB8XIrscJpYqGXB8J+aN0ax7Y48Mm6w0l/CBNYBsRsfwhXuByI\n",
"gNCxeAyI9Vhv9QP7VXAIU6QciInE8Ea4sbpivu0Ni4dur8v2xQtOIwEPBDCDoHMjRjYDI0PEd54N\n",
"POswP5jgympOIUwJ5UAErdJI75HOYzEgQg0mNwzY4TciE4x5DeeBGAq02ee0m8Q7UOjlQH2C2/Ak\n",
"mRbn7JLec7CeR/4bONNXWDah87U3RzSeHvzOSHCTluIS3p1xOic9/3SP+W15ubw/fCDTtuwmvzNU\n",
"jYzUkknnWyZpdSKTDIhQJR8hvjKuvQyIFBFoQPRKorZZDuQSOf/BT0weCNvDUIrzW9Ameo7LERUq\n",
"N68/Lngg7NCXDdgPe/1HHVaE9ab6o4B19gDtHHzAjNmAsENGPqCnFyJWD8RE0hdS0p1InduvJNEc\n",
"iMPoGRIWK44eCNsYOxrLyxeJlHgg7HOhGOuNdyBv0tuAiCqEySZUCFMyRqH2E86A8EoJV/9AoT8B\n",
"auz/wxphWuu5wHLDMJbFu43AG7FSapaXpoHpXtLjRb0HWvbcge19CFr+0645p21vKQ6VXhQfnR0d\n",
"WVsxKFltf+vUOUxatoTB23te3rYVFfJJST+O2tqclHyITOi/fXk6HJlyEk0jfNjDLhweqMvrGkYB\n",
"m4PKpmKXbRxHeKOkmwTj1II9EE4GxFos931YAyJAxyrgtBg0DAF2hwgBW0fkROBe9Bs2Zg/uhDCB\n",
"5YU4E1h01A/u2wysdCgJ6g9j8ifbhh0wLAT+MKZX7DEhiulZCewjYFh5XUNhY3VFq0M/mUj6Huq6\n",
"PRCDy2ZsAQqj+E4oD8REguKQY2QzcJLD/qgAXrHDBWPVlpAHIkDLQGCPQ395E7glaN4wwuQkBRHO\n",
"gOjOa0nwWhLOgJiIN0q4Rj1QKIDW+nhgpmEYgUMLx7QN6Llfg/exB6bv8pgeT+n9yVUPd2BdWx8N\n",
"XO4rLDsMuKD4yq8u451d4aqcxUxuXl60YwL1OZLV9tb+RSw+eRYnNTzFMxd/rceyFUNKOHHTDsY1\n",
"H2DDIKcCd9Hj9f6byLTT/cBL+iLRlzwQTiFMbwAXOsw/CXgjhoHFEiFiCJOtow4r3yIaYs2BcEqg\n",
"9rMO6+EjVopxJ4QJrERqv087OHzJT2AidTwhTNAzD+IwYFWgMWqHpXxEz3yLQCbiggeCxHMgJpKY\n",
"7lA5ENHmP0CAtvK6hgIsgyiwv8WbA9Ej/yGAt4HpQdXNYs2BcGpzMiow+YlkQKxN0u/ETbiBQrXW\n",
"F2utPxP0lUeBcrsS028jbUPok1wP3FFbXxl8P/45cLcaMjhrH/a9zuKTZzFh5TKGbd7UY76pFO8d\n",
"MojDdu6lqE0OX1/F8x6I8rqG4VgPD5vCrNYribq8rmEs1oPdt+idBB1T+JJSalYCbw63A0PtCjn9\n",
"CRFa0lhdcUMMOlYBk8rrGnIC36SW1zVcCzzVWF0RbGyFMyDWYpWPjYn2vbvG5JcMdssD8SLwaHld\n",
"Q8m+DcvPLh431cmACEykTsSA8A97Gpz/4MefB7HKoZ9MJL0eiAsBDmxZf1T/EeMXhl8dsN7yO+W/\n",
"JBoO050D4d8fdj7KOcD/RrmNQA9EKVYeQaAnMeYcCFvLIByMq8bqil3ldQ2bsMop+/OtYjUg5jjM\n",
"7xHClOC1ZAtwfIhlE7FyqVzHMIx5OBiKhmE86jBvUvC8cNvIRBI85mknnXprqnzTsaoPfj5wvq+w\n",
"7HhgFtYAm07nleAB2vr1542Zn+a0eU/Apaf2WHYgP49VpSUctbWZxtGloNJTSC2TzrdM0upEJngg\n",
"pgFLg8OQgnDyQJyE9Qbr2PK6huCHpHTlP8BBD4RjOFU8NFZX7MMyRMb455XXNRyPVT87+A0fBI1C\n",
"HURcHgi3ciCgu/1vAjPzigeNJbIHIp4yrtDTAxGc/+AnXB7ERFzwQOTkFwwgzhwIexyUkVj7L16c\n",
"Eoor7N/7IMptBGpzMgBjKuMawGCcPRDQOw8iGTkQyfZAhArlmIgHPBCCECPXAHfV1le2+mf4CssU\n",
"cAdwS2Vrk1tebiFK3jvxNIZs3Uznm+/0eiG9YWB/UDC+Od7aIIKXyQQDIlL4EjiXcZ2B9ab6Qay3\n",
"GED3A1I50YcLJSsHIlQFpqgJ0tEdxmS/3b0bq73THL7qNAq1n7XEkQOR17+kC/dyIMAeD6JwyMhB\n",
"OCf8biBxD8RGoKi8rmEooQ2I7kpMgccnxjEgkkF35anC0pFtxF+FaRyWoRtpFOtw7AL6n3DngtcD\n",
"5l0N1MdgQAcmUTsdv5gGkgs4NqFCmMAyIMoDphMu40p6cyDWJrBtIUVk2hvGNHofJgKfpvcgjmdj\n",
"XYf+lA4dQmJ05uXzypmfpf33f+nXK2laKd4fNpBJO/fSvz09o1Rn0vmWSVqdyAQDYhqRDQgnD8QM\n",
"YBFwH/D18roGf1Lpp7AGsoomRjwZ+A2IUBWY4iWwlOslQBHW25yjHdYNF8L0CTCovK4h1kwnN3Mg\n",
"4GAeRKgciI0cLOU6hOgeqHsQVIkpVAhTKA9E1GNAJAO7fKeJ9YCcSA7ERBJMxrX3W7cXoryuYQww\n",
"G/hbDJsJrKyWbA9EqH3T7YGw+02sHoiRAaWD/aS8CpOHxoAQhFj4AfB/tfWVzf4ZvsKyHCzvw/WV\n",
"rU2JvMQQ0sjyo48Ds4sp7/euObG/II+1g4s5cltyqjIJ3iETDIhIY0BAkAfCToQ8FmhsrK74EHiP\n",
"gzGWMYcvJVirN2keiCAdK4HJ9oP/ncD3sfbT4baXJZCQIUx2DkVgAm5UdHV2lOKuB+ItYIzZ2ZGL\n",
"80Oe3wPRHzATGF/BH8YU0QMRdHwmkv43wuuB8Z2tB0YTvwciWeVAN3/c8PB59v/fBB6xy+tGS7AH\n",
"Irg9MSVRBxybcB6IxcA0O2l7ELDfHk0+Wr1rgZlB83uEMCV4LdmGVfUr+Lo9HGhprK5odviO4DKZ\n",
"Vus9HXprqnxDga9gec4DuRQ4APwr1RqEJJKTQ37V11tOm/9vcjp7vzNbN6iIvK4uxuxJfShTJp1v\n",
"maTVCU8bEPaN8igiGxDNwICAG+s0rLe//geFe7CSqSG9+Q9g3fRT5YGYjOV1eLWxuuKlxuqK/VgP\n",
"zsEj6oYLYYI48iCUyumHiwaE/Wa/obP1wMYQYTEbsdzgQ4kvfMnPUqzE1eE45wWE8kBMJP0GxAZg\n",
"nMrNizsHguTp3lxQOmKIbcxeycFBwqIl0LgJ5YEY5PAwHYmQHojG6oq9WN6Xo4jN++D3utRjhWoF\n",
"kjQPhG3MNNPbcJqIN0q4CkK0VAGP19ZXdr9U8xWW9QNuBa6pbG2SV9UZRu6M4zp2DxnG0Y0v91pm\n",
"KsX7wwcyZcdeCjvSE8okpB5PGxBYb3Z3N1ZXhH0Ysh8m9wP+0WZmAIHx108AU8vrGsqIw4BIYg5E\n",
"QgZEkI5VWO38LpYR4WcpvfMgwoUwQYx5EOV1DbkqJycf602Rm/w7r2jAC04L7IfBVqzQo0QMiPex\n",
"EtPXhQhHWo8dKuViBaZALeNz8vKLiS6EyckDMZHkPIx+MvTYM7cBc4HVDpXBIhE2idoufbwf5zK0\n",
"vYgyBwIOhjHFkv/g5yHgLHv8GX9o0QgCDIgkxLw6hTFNRPIfPEumxTmnWm9Nla8/8B3gl0GLrgbe\n",
"q2xteimVvy+kjhfPvoAZC58hv7X3UD97C/LZMLAo5aFMmXS+ZZJWJ7xuQEQTvuRnFwfzIHoYEHZC\n",
"6J+x6koXk9gou7GyB6sM7UQSDGEKYhVWiM7/NlZXrA+Yv4TeeRDhqjBB7B6IYqzwDnfGqrdprK54\n",
"oLG6oirMKhuxcl4SNSBG4pz/4K8ItQ9vPNRtwMoJUURn3Pk9d4Fx+0kLYcLab1XE7n2AyB4IcCjl\n",
"Wl7XkFde1/DNMNsNlwMBBxOpYzYg7BCiv2OFbPl/a3+UA+dFixgQQqZzGdBYW1/ZXZHNV1g2GLjO\n",
"/ggZyrZRY1l/2FROePk5x+WrS4vp197FyH3JvCQKbpEJBkS0by4Dky6DPRAAf8TKg3g11lKqicSp\n",
"2b+1A8srkJAHIlCHnQT+E6z8h0CW4OyBCBdGsZbYKjEVd3W0RxsbnlIiHJsNwDEkZkB8jPXAZ3aC\n",
"GAAAIABJREFUGW4k3HXAeL+W8rqGAVix8O8m8LvxsAH4VFdH+75o+rjtUTnAQc8dJM8Dsbl9767P\n",
"Yhlw/4jj+5HKuIJzHsTRQH1wMnOUORDQ0wMRdQhTAPXAlXYeVq/wpSTEvIoBkWFkWpxzKvXWVPly\n",
"gR/T+751HfDvytamaMs8Cx7l1TPnMn3RixTt6X2Z9YcyTd2+l4LO1Lx/zKTzLZO0OuF1A2IaMXog\n",
"yusaBmI9DPcwPBqrK9YC/8UqdZputmM96CS1pGdjdcXtdt5DIEsJ8EDYMeKlhH8Yit0D0dXpdvhS\n",
"NGwgQQ+E/SD+PuENiOA8iBuBeXGE7STKeuBTZmdHLMnKgSM+F2IZm+EGbYyWzfklg48F/tJYXdEa\n",
"ce3etAB5dkJz1B4ILO9BHs4j00NkD8S7WIPJjSH2ECYaqyvexToO55PcMSD8iAEhZDKfw7oXdQfK\n",
"+wrLxgFXICOO9wmaS4fy/nEzOPn5p5yX98vno5J+HLFNaj5kOl43IGL1QAzGeoBYbMdIB3MJcFes\n",
"IpIQp7YdaCe+N5qx6lgJjC6vayi2p4cAzSH2h591xOaBKMkp6JdQW5JFhH2yEcsIjbmEaxB1WMZn\n",
"KNYB403TXFhe13A0lov+mjDrp4oNwLDcwv6xhMoFhgqNBzYmqfTsZqyyssE13qPCNtz8xk0sHgj/\n",
"QHA9HrKjzYGwq3Utxxr4LmYDwqYeK3Srlwci2TkQ9hglxyBJ1J4l0+KcU6W3psqnsK6Ld9bWVwZ6\n",
"SG8G7qtsbdqYit8V0s8bMz/NlKXvULrV+f3JqtISBrZ2MHR/PO+WwpNJ51smaXWi18iBqUZrfTrw\n",
"K+AFwzCqI6w+GWiKctP+Uq6fonf4EgAOb+vTxXaswblSnjPQWF3RUV7XsBw4EmgkKIkzBB8Bw8vr\n",
"GgqjfFtcjLslXKNlA9CPxEKYaKyueCLCKuuBCba3px74aWN1Rbick1ThvwHHYjAFhgolK/8BrNLJ\n",
"326srkjkwdZfyjUWD8QJWMnVI7AMgWAieSDACmO6DHg0FrEBPAb8GjiV1HggPgVQXtdwGPA0VvK2\n",
"p0I/tNZnYnniAG40DKMhzLqO9wSt9f3AVCxv1P2GYTyQOsVCGjgN61zuvp76CsumYXnrDndLlJB8\n",
"WopKeOu0OZw2/9/859Irei3vylEsGzaAsm17eHVsAV05wcPnCJmAGx6IQuD2KNddF0MCoj+J2in/\n",
"ISGSEKe2nSQkUMegIzCROlIFJn9Fm01YZU+jobh9767gsSZcIcI+8T9QJ2RARME6YPyupkW3AfnA\n",
"/6X49xyxz5UtrTs/ieXYBHogJpIkA6KxumLvm9fMidb4D4VfW1QeCHv07yOwwhSHB64YQw4EWAZE\n",
"AXF6DO3j8Bes0tE9DIhk5UCU1zXMwAoD+VVjdcV1seZ1pRKtdQ7WW+Wz7c9NWutwTwih7gkmcIlh\n",
"GLMz2XjItDjnFOq9BvhVbX1lJ4CvsExhRQTUVrY2pWtgVyFNLD55FiM+Ws+41U7jvMK2okL2FOQx\n",
"cXdy30Vm0vmWSVqdSLsBYRjGc0T/QBdLDLk/hCnpBkQS2E6S8x8iEFjKNaIBYbOW6MOYis3Ojkwo\n",
"o+AftyHVBsR64OiBU46/Erg6XaNPh9JitrfFMkJ4sAfCS6Ewu7E8DANwfugPHo36GCyvw3ocRmy2\n",
"GURkD0Sj/TfeECawQrcKSd4o1H4+wSpF/STwzcbqirhCxFLMFOBDwzAOGIZxAKuC2eRQK0e4J8ir\n",
"yT5ATZXvSKzw4gcDZl+MdZ7+3hVRQkrpyC/ghfO+wOwn/+44uBzA8qEDGL97P/3bZWyITCRlIUxa\n",
"67PoHQf+I8Mw3othM7EYELuwLlBdOA/4FTdJiFPbjDUicrp0LAHOsv+PJoQJYkukLikYNGxdlOum\n",
"lChyICA9HojDcvLyf9dYXfFWin8rEhv6jRgXSzhLsAciXK5HTCThvGnGystoDmGU7cAa58NPOdbD\n",
"/1aCPBB2fko/QEXh1VwKtJGAAdFYXbG6vK7hEYLCqJKwT9ZgGVNfaqyueDPBbaWKIcAurfVv7Ond\n",
"WGPhxFo+ew/wsNZ6B/ADwzDCFTLwLJkW5xyv3tdXbLp/c3PrRKdlpRNKpxYMKDww4aQJTz/x1mrM\n",
"PXtzKR1UXnj995tyT5vx3BNvrQ653dwcdUQ8egT3WVl2DJ9qfJljX3uet047s9fylvxc1g0q5ojt\n",
"zSweGRyNGh+ZdL5lklYnUmZAGIYxH5ifyDa2v9NgWrmMB109/h0ePL37wzcPGXjY9HNUbl5DY3WF\n",
"GWn9NE/f+8HdV81W16yYlabfW9rV0X6cUmrWCXcuGA5sjfT9fRs/BKXOgIo/RbH94pZtGwcopdLV\n",
"nrinT7hzwU5gR4p/b2vLtk1PrvbVPkv1Mlxu7/vA+hjW3w0MVErNmn7T45/KKxrwOzf1B04fff3f\n",
"+hWWjjyUEMdv0pd+OmrIMbOGdK9/3V/PLxwy6p9AvwNb1s8K7p8Dp5aXHv6NX+yO9PuN1RVtU752\n",
"6y/X/fOuUVRvW5pAe+5L0f6ZqpSapa4hofPvueeca7Unge1Y3uCrsTwIfyAOY8wwjO8BaK2nYxUy\n",
"uDDUuplwLerr04+/uWrirQ1rZxJEYUcnp2zcxUvjhtHRsHYiwGnPPk7J+MN5pu2Q6TSsDf5KD647\n",
"Y2zS8+06OzrSnv/pFdLadqVo+Iym8r5fsuxTJ7BvYO/ieGsHF3HKxgMM39fC1uJ+DpvwRv/O1ulw\n",
"uHUSReWWHjq94hH//8GNCZ4edPgJbwA/wg5firR+LNOBN6d4vt9YXbGf6g//G+36oab9BzaK9Tfm\n",
"5OXnnnDngqXARcDySNsvHnv4C8DsKLdfbHZ0tATOS+b+jmXaf2xCLS+va6gDVpqm2ey0PBnTdvz5\n",
"XHXnZbNSsf0YpxfG0l/L6xpmAYNM01xoV/RZmyw9MfRXx+nyugaN5RXZEWJ5LtZ4G/7p32F5IKb2\n",
"HzG+Pfg7h3/jFx9ghy9F+v0V999Qw/03xKQ3mulI/TWd0wsWLCBFrKJnUuyUKLwH4e4JLVhV7ELi\n",
"hWtRqGmv60uW3lBehAm79/NRSX86cq2I6dKtmzn6rVd58Ls1jusHk5uXF66CYFykYpuZQrrbvmvY\n",
"CN4rP42Zz/yLp/TXey03laJp6ACO2tbM9v6FvRKq+/L5luizZTqmw5H2HAit9bVY9Z7naq3vjbB6\n",
"aL9mb/wx0l7Lf0g79gOtPw8i0ijUftYSfQ5ESVdneybkQPjHypCC06HZDQwsr2voj/XWOJ25OpHY\n",
"DRxK6BC07iTq8rqGEnvdpTiEMNlEk0AtJIhhGJ1YSdTzgXkE1PfXWl+stf5M4Pqh7gla60e01i8A\n",
"vwQiVewTPEhBRydj9hxg7eAia4ZpUvHkoyyadQ77BgwK/2Whz/D6zE8zet0qxoZIqN5RVMjuwnwO\n",
"3ZUJxR0FP2n3QBiGcQdwRzTrxpiMugswsSqoJJVYLLJUEqMOfyWmSKNQ+4klB6K4eMyU92PQkjK8\n",
"cmzAO1pi1OHPgZgIrE9mqeEk7I9mLF0vh1geWMb1WGBJY3VFe3ldQ6/B1mwPxdlETqBOKV7pI6nG\n",
"MIx5WMZD8PxepXFD3RMMw/hiatSll0w75snUO3H3fj4u6UdrXi4AU95fTPHeZt6Z0SvSSejDdBQU\n",
"8sJ5X6Diyb/z12//hK7c3F7rLB86gJM3bufjAf3Ynx//o2kmnW+ZpNUJrw8kFwvrgMfkbXM3fg9E\n",
"tFWYNgIjy+saojlzM2UcCCEy/ipME/HeaMbNWCNCR/RAYCVQ+18ebMW5CpN4IAQhTRR0djFmzwHW\n",
"DLbGNM1vbWHm0/9kwfka0+EBUujbrDhyOnsHljJ90ULH5a15uawZXMwR2/aA6Zmq1EIY+owB0Vhd\n",
"sbmxukKnYtuBsdxuEqMOvwciqhCmxuqKNixPxdgotl2yq+n1aNZLOV45NuAdLTHq8Hsgkl7CNQn7\n",
"YzfWNSqUAdEM9C+va8jHGkDOb0BsA0rtHIlALdEMIpdSvNJHhPSRacc8WXon7NrXw/sw44Vn2TRx\n",
"MpsOnZKMzQuZhlI0nH8xM154luJm58vw+kFF9Ovo5JB9rQn8TOacb5mk1Yk+Y0AIvfB7IEqJvgLK\n",
"OqLLgyjuajtwIF5hgqfwugcCQhgQdq7PLqw+fgL2+A32wIi7CRhkzkY8EIKQBgo6uxgb4H0o3foJ\n",
"R7/5Ci+eE7KQlpAF7Bp2CEtOOJUznvmX43JTKZqGDWTq9j3kdiUtmlZIEWJARIFX4tRi0dFYXbED\n",
"q456s/1AFQ1riS4PonjIMbMaI6+WerxybMA7WhLIgVjrog4n/A/74cbx2InlPRkFLAuY3yOR2tbi\n",
"ugfCK31ESB+ZdsyTobeH98E0mf2kweszJXFagEWzzmFMmITqnf0L2NG/gEk744uSzqTzLZO0OiEG\n",
"RN9mCdHlP/iJ1gNRguRA9BX8HgivjUINETwQAcvOAhYHFV3olUiNeCAEIeXkB+U+THl/MSV7dvPO\n",
"SZI4LdgJ1ed+noonDXI7nKszfzikhDF7DrB3y96iNMsTYkAMiCjwSpxaHDqWEl0FJj9ric4DUbJp\n",
"3gNTY9SSErxybMA7WuLMgZhIkj0QScqBAMvLEIqdwNn0rr7WI5FaciAEt8i0Y56o3om79vGJ7X0o\n",
"2ttMxZMG8y+41LHyjpCdrDjqWHYPGcZJDU85Lm/Ly2VVaQlrX1lzeE2VL6pxw/xk0vmWSVqdEAOi\n",
"b/M2sCmG9aP1QEzYu3bJJ/FJEjzGPqAQq7KW145ptB6Ik7HzHwLYQu+xIMQDIQgpxO99WD24GEyT\n",
"sx5/mKXHnczH4ye5LU3wEkox/4JLmfb2a4xa7zzc14aB/enq6MoFvpxecUK0iAERBV6JU4tDx9+B\n",
"b8aw/loieCDK6xqGALlTr/zlv2PUkhK8cmzAO1pizJUxsXJl1tn/u6IjBNEYEDuxxrMJ9kD0CGGy\n",
"tbhuQHiljwjpI9OOeSJ6J+w+6H046u1FDNi1g9cqPhP5i0LWsb9kIA1zL+GcfzxIXptD1SWlmHDK\n",
"xA+BO2uqfIOj3W4mnW+ZpNUJMSD6MI3VFZ2N1RWx5CqsB8YGlr90YDKwMtkPm4Kr7MZ7FZj8pYWf\n",
"ILIHYjewMmi+01gQrocwCUJfpW1fW/7YZiv3YeDO7Zz+7OM8c9FX6cpL+3i1Qoaw4qhj+XjcoZzx\n",
"7OOOyweNGbQH6x5wa1qFCVEhBkQUeCVOLdU6GqsrWrAeyEaFWW0ysDJb9kkseEVLHDqaSUECdTL2\n",
"R2N1xQWN1RXOmXYWO4E3HQzaHiFMthbXPRBe6SNC+si0Yx6v3k2LN439pLgfLTmKT//jId48/Uy2\n",
"jRyTZHVCX+P5z1zMpGVLmLDig1Cr/AS4qKbKd3w028uk8y2TtDohBoQQTKQ8iMn0ftsrZDae9EBE\n",
"ybPArxzmO1VhEg9EGtBan6m1fsn+VERY93St9Rta67p4tyG4T02Vb9iOVdtHrykt5rjXFpLT1clb\n",
"p85xW5aQAbT2L2LehV/m7H/9jcID+3str62v3AFcD/yhpsonz6weQg5GFHglTi1NOtYSPg9iMrAy\n",
"y/ZJVHhFSxw6tgLORbnTqyNmGqsr3m+srnjaYVGPEKYT7lzwIjCAg3kVruCVPpIqtNY5wM1YlbHO\n",
"Bm7SWoerolII3J7gNjxNph3zOPVeP2jsoK1FO7Yw44VneOYLl2HmyOOFEB3rJx/ByiOPoeI/fw+1\n",
"ygNAB1HkdGbS+ZZJWp2QM1wIZh1RGBDpkSKkia8B/3FbRJIJrsI0ANgXNFaEkHymAB8ahnHAMIwD\n",
"wCqsa4YjhmE8R+8cl5i2IbhLTZVvGvCVsceNWnvuYw/w8lmfZffQ4AJoghCel86+gEM+Ws/hS97q\n",
"tay2vrILqAJuranySefyCGJARIFX4tTSpGM5UBZmueRAhMArWmLV0Vhd0ZyKB2uX98cOYFB5XUM+\n",
"wOq/3fppPFDC1St9JIUMAXZprX+jtf4N1j4f6sI2PEOmHfNY9No1+n8P3Jjzl4dG7y8ZwJITTk2Z\n",
"NqHv0lFQwDMXfZXZTz5K8Z7el+ra+sr3gL8Cvwi3nUw63zJJqxNiQAjBvAsc47SgvK5hINZ4AZvT\n",
"qkgQYqSxuqIL2I794FlQekgJkv+QDrZj5Zr8BKix/9+W6m0E3oiVUrO8NA1M95KeJOv9ckvrvkNW\n",
"/ukHquPZhaPnXfhlUMmNNuvs6Eh6GadUbDNT8HLbN4+dyJLy0zjrX38D06qLEdTfburoaJt7zumX\n",
"/9D/nUw/37w+HQ7PdiQv4ZU4tTTpeB+YXF7XUNhYXRFcnPkw/CVcq7Nqn0SFV7SIjm78idSbx553\n",
"xQo84IHwwD5JNauAwwOmpxiGESnkMfiJM+ZtBO7X4H3sgem7PKYnKXrt2vx3jvh4/ddOUKX3FXzn\n",
"Gx/uKx50FEkmNy+vIxO2mSl4ve2LZp+L/r/fMGPhMzCnqkf/q62vbK6p8l12/LSz7q2p8v1fbX1l\n",
"cyafb073Ay/pi4R4IIQe2KVcVwNHOiyW/AchkwhMpJYKTGnAMIxOrATo+cA84Cb/Mq31xVrrHqOK\n",
"aa2vtdeZq7W+N9I2BE9xq2pv+8/4hkd/CtyfN/fsWD1NgtCLrtxc/nPpFXyq8WU6/jt/WPDy2vrK\n",
"Z7Cq7/06/eqEQMQDEQVKqVleeHOYRh3+MKbFQfO7DYgs3CcR8YoW0dFNdyL1zvdfOan0qFNd90B4\n",
"YJ+kHMMw5mE9+AfPf9Rh3h3AHdFuIxPJtGMejd6aKt/xmOZFZb5fzcc6z24GGtKhT+j77BswiH9f\n",
"eiVfuvv3h/tq7zq6srVpSdAqPwLeq6nyfaa2vvK/gQsy6XzLJK1OiAdCcCJUHoR4IIRMotsDkVtY\n",
"JDkQgpAE7Fr8fxi38B/P5XS0Twcuq2xt6nJbl9C3+GTsBPKv/MpK4AlfYVkPT0RtfeUe4HLg3poq\n",
"3xBXBArpNyC01vdorZ/XWr+gtZ6U7t+PB69YiGnUEdGAyMJ9EhGvaBEd3XQPJjdw8rFbkBwIwQUy\n",
"7ZhHofebA9YtKx645oMzgc9VtjbtTYMsIQvJv2juFuAxwPAVluUHLqutr3we+Cfw28D5mXS+ZZJW\n",
"J9JuQBiGcZVhGLOxXJ7V6f59ISreBY4pr2sITm4UD4SQSQSOBTEIDxgQgpDJ1FT5hhXs3n7b+IbH\n",
"Rim4tLK1abXbmoQ+z/VAC845D9cBJ9ZU+T6fXkkCuBvCtAdoc/H3o8YrtXrTqGMz0AmM8c8or2so\n",
"xqrPvinNWsLiFR3gHS2io5vuEKaWbZvK8EAIkwf2iZBmMu2Yh9Ob27LvV4c+/SDK7PpZZWuT5DwI\n",
"KaeytakTuBQ4y1dY1mMk6tr6yv1YA6H+vqbKNwIy63zLJK1OpCyJWmt9FnBN0OwfGYbxnv3/5cDd\n",
"qfp9IX4aqyvM8roGfxjTRnv2JGC1XV9fEDKBbg9ETl5+MeKBEIS4ueGKB08d/+ITOrf1wCPAH9zW\n",
"I2QPla1Nu3yFZZ8FXvYVli2rbG162b+str7y1Zoq30NAfU2V7yL3VGYfKTMgDMOYj1WGrxda67nA\n",
"csMwloXbRmCGut9Sc2PaNM2Fbv5+4HTgvknl7x3YvGZHZ1vLBVDxX4Dtixd8bsBh03cGa3B7f3ht\n",
"OnDfuKUnG/ur0/Twkz83bsKF37PeSuXml2x946nxUOGaHq9NP/fccwipJ9PinJ303nDFg6NHNj73\n",
"dP9tH6/J6ez4VmVrk+mCNCGLqWxt+tBXWHYZVj5ERWVrU+Dz48+At4BK0zQfdkdh7GTatSGYtJdx\n",
"1VofD8w0DOPHkdYNN+CGTKd2uv/IQ58EzvdPDz12Tivwulf0ybRMR5our2soBX4HkD+gtGv4iee9\n",
"5CV9bk8vWLAAQYjEjV/7Y9Gotxe+PWDDir15LftOr2xtyojQY6HvUdna9IyvsOx6YIGvsGyO34io\n",
"ra9sqanyXQY8XVPlW1RbXym5OWnAjRyIR4FyuxLTbyOu7QG8EqeWZh3BlZh6JFBn6T4Ji1e0iI5u\n",
"dgH9y+saCjtbD4xGciAEF8i0Yx6o945zbsgZ+cb8xSUfrcnPaWudVtnatN1FaYJAZWvTA1iJ1Qt8\n",
"hWVl/vm19ZVvAbe0tbcsqKnyDXJNYAxk2rUhGDeqME0yDGOmYRizDcP4Xrp/X4iaZcCE8rqGInta\n",
"KjAJGUVjdYUJbAOGq9w8yYEQhBjwFZapwSvee63fto9Htw0YfNSX9727w21NggBQ2dr0IFYFpgW+\n",
"wrIj/fNr6yt/t2ffjneAR2qqfDJQcoqRgeSiwCtxaunU0Vhd0QYsB6bZs3oYENm4TyLhFS2iowdb\n",
"gBE5eflFeMAD4ZF9IqSRTDvmpmku9BWWqf0jxj5dsG/3MbsmHz39ijVPbXZblyAEUtna9BBWoZ7n\n",
"fIVlR/nnDx08WmOF59e5pS1aMu3aEIxYaEI4/ONBvAccAmxwWY8gxMpWYCzWte6Ay1qyBq31mcCN\n",
"9uSNhmGELPkZal2t9f3AVKwa8PcbhvFA6hQLfnyFZap10FBDdXTM+eS42add99RNq9zWJAhOVLY2\n",
"/dVXWGYC832FZWdVtja9X1tf2V5T5dPAopoqX1NtfeV9buvsq4gHIgq8Eqfmgg5/HsShwLrG6ooO\n",
"F7U44hUd4B0toqMHW4ApXR3t++yQJlfxyD5JKVrrHKyBQs+2PzdprYMHpQy5bsBiE7jEDnfNWOMh\n",
"k465r7BMfVSY/1RXbv4Fm06be/F1T930euRvCYJ7VLY2/Q34MZYRMU0pNau2vnInVhGYn9dU+Src\n",
"VRiaTLo2OCEGhBAOvwEh+Q9CprIFmGJ2de5zW0gWMQX40DCMA4ZhHABWYV1DolpXaz0lYLmj4SEk\n",
"H19hWb+u3PwHBxeVVmyouOianz76w8fd1iQI0VDZ2vQwthHxldwRnwKora9cAXwR8NVU+aaE+74Q\n",
"HxLCFAVeiVNzQce7wKewbvI9DIgs3ich8YoW0dGDrcCc3IJ+nojh9sg+STVDgF1a69/Y07uBocCK\n",
"GNfdAzystd4B/MAwjIx8iZHIMd+5c+eID7fuv6utsyuphlRxQe5Txx02+iH/tK+wbHxXXv5T+0ZO\n",
"GLfx9M/ee8v9V/wm3PcFwWtUtjY97Css235u7pAHfYVlucBdta1Nz9dU+X4GPFlT5TvJ9kx4hky/\n",
"H4gBIYSksbpiW3ldw17gTOBpt/UIQhxsQTxo6WY7MBi4GsuD8Aesalgxreuv0qe1no6VEHlhqB/s\n",
"w4Nalv7zvY/nNqxpLgnV9ni49vii4X4D4vL80T+cVTD059uPOd3cdvQp3779j5et+/kDV8a8Px9/\n",
"MzWpEp0dHUl/TknFNjOFTGt7LOdLZWvTs2fkDvr+V3MPuaVI5c7wFZZ987a2ZcuvvOTOJcNKxxo1\n",
"Vb65t91z6UnRbk+mw5NRHcktAm9OWajjXSwD4n89oKUXXtEB3tEiOnqwBRjXtnvbOpd1AJ7ZJ6lm\n",
"FXB4wPSUMN6DaNZtAdrD/WDgPvXCIH3J1Jebl9dBkhk5eswWX2GZau9f8vPZ/Uf+eNPpn129Z/zU\n",
"ubX1latuu+/Ls+LR+8RbqRm7KxXtT8U2M4VMa3us58tLXc2bq/JGHwP8Hlj0cMERn19aOvYSwAc8\n",
"85OrHr4w0BPh5vXB6X7gtelwSA6EEIl3gXzkDa6QmWwFlNnRttdtIdmCYRidWInR84F5BCRGa60v\n",
"1lp/Jsp1H9FavwD8EqhOh/ZsoXPHrry2kkGvdBQNuGbtp79cv2f81GNq6yul2pLQJ6hsbToAfAP4\n",
"LfDytD/fcj5QCbwDvFxT5Rvvpr6+gnggosArbwxd0vEu0An0eIOb5fvEEa9oER092AJQOHT0creF\n",
"gGf2ScoxDGMelkEQPP/RGNb9YmrUpRevHfPhH29kwxd+dsG+UYe2fHLcrHNufvBbPUrsek2vIMSC\n",
"v/9WtjaZwH2+wrJ3gMem/fmWk4Brll7+s+8Ar9RU+c6vra9810WpGX+uiQdCiMQbwNv2wHKCkGls\n",
"tf+6PoicILiGaTJiVzMX/sPHF/90N3tOmb170+mfHR9sPAhCX6OytekN4HjgaODdaX++5V3sik01\n",
"Vb45rorLcMSAiAKv1Op1Q0djdcXqxuqKE72gxQmv6ADvaBEdPdgDtO5Z/d5wt4WAZ/aJkEZcO+am\n",
"SUlrO1O2NfO5hgb0H25Dtbfy1+/UcHTtlfNr6ysdjWrpo0Im49R/K1ubtgJzgeuA/5v251u+MGj1\n",
"0quBh2uqfF9Os8RuMv1ckxAmQRD6LI3VFWZ5XcOWztb9kgMh9GlyukyK2zsoabM+w/e3UrJ9MyNf\n",
"ewazq51/fOVbfDzuULdlCoIr2CFNT/gKy+YB141b+M97Ryx+4cGVn/tWrZ0TcXttfaXrg41mEuKB\n",
"iAKvxKl5RQd4R4tXdIB3tIiOXmwdXHaSJ0bU9dA+EdJEso95blcXA1rbGbn3AJN37OWYzbs4df02\n",
"Zq/bwrQtzQzb34pqa2HA4gVMevoh3jnuRP5adW3UxoP0USGTidR/K1ubDlS2Nt0InFi4e/vkIx/6\n",
"RfvANR9chmkurKnyHZUelRaZfq6JB0IQhL7OI8B7bosQhFioqfKVHnr4sFMhp7Bs6x6K2zsoau8k\n",
"v6uLffl57M/PZV9+HptL+rG3wJoesGsHx762gCMXv87KI4/h/u/9lJbipA4hIQh9gsrWplXAXF9h\n",
"2fnjnn/s1x1FAyZsPmHOazdc0X6PmZd/c2195T63NXodMSCiwCu1272iA7yjxSs6wDtaREdPGqsr\n",
"6pRSs6g2XS9T6ZV9IqSPaI55TZUvHyvJcwZwkv13zMa1Oz/gkAE5ewvy+KS4kP0FebTk5oAKGJja\n",
"NBm1YQ2zX1nAuNUreP/4k/jrt69jz+AhKdMrCOlgcP+8I554a/XCWL7TvGvn4IGDS0MWzRg5sHDt\n",
"jCljvuafrmxtetJXWPZ0/v49c8e8/J9rRr3+7Le3Hznjm7dc8sl3fvb3/3k4fvWRyfROIyLTAAAg\n",
"AElEQVRzTQwIQRAEQUgjNVW+HOBY4Gz7U45VKnsR8Arwa+D979901mF1L6xbtGHFjsLgbeR0djLl\n",
"/cUc92oD/ffv4+2TZ/Ps579Ce2G/NLZEEFLHzgMd/Wob1s6M/Zu7Qy65oWJir3mVrU2dwOPA477C\n",
"suNLVyz+xbClrz10zxEv3drev+Tr3138wAuxa+j7iAERBV6xEL2iA7yjxSs6wDtaREdvvKLFKzqE\n",
"9OE/5jVVvjHAWcCngTOBbVjjX/wSeLm2vrLXU8/OnTt7TOe2tzN+9XKmvP8Ok5YvYcfwkbxxxqdZ\n",
"fcTRmDnJSWmUPipkM5WtTW8BZ/151KxDVUfHXwavWvL8/cNP3dqVX2D027nlt5ceeH9Fsn4r0881\n",
"MSAEQRAEIcnUVPmKgNOxDIazgVHAc1hGw7W19ZXro9lOzv79TH3vTSZ/8C4TVjax7ZDRrDxyOotm\n",
"n0tz6dCU6ReEbObyjxeuAWbdetEvxxZ9sv6mfjs+uSx/b/NVDw08fovq7Hgot6PtEeBdu7pTViIG\n",
"RBR4JU7NKzrAO1q8ogO8o0V09MYrWryiQ0g+NVU+hZXHcDaW0XASsPijLatWjB5x2DeAN2vrKzsj\n",
"bcdXWDYUKwfi5NySojlHdHQN7j/+MFYeeQwN52sOlAxIZTOkjwpCADc89uONwDdrqnxXqs6OM0s2\n",
"rbq++OO1/zN41dKqnLaWvQ8Xls1XVujha8BSOxwqKjL9XEu7AaG1vhU4BegCrjQMY3W6NQiCIAip\n",
"QWt9JnCjPXmjYRghRzsOtW4s23CLmipfCVbuwknAyfbf3Vgeht8BX6itr2y2HxIcywj7CssGAlOx\n",
"Rsr1b2cU8AawaPBxR93/4tevKnt2U8vglDdIEISQ1NZXdmGd2/NqqnwjN5941tf77dhyVdEn6z8/\n",
"YOPKmf23bOyf29Za8nBh2RvKMiYWAe8D62IxKjKJtBsQhmHcAKC1PhW4FvhWujXEilcsRK/oAO9o\n",
"8YoO8I4W0dEbr2jxio5UobXOAW7GivEHeFZr/bxhGL3c/E7rAg2xbCMd2J6FEcDh9ucErIf9w4F3\n",
"sR4WHgSurq2v3Bj4XV9hmXq44IglvsKyacAkLGPBv52pwABgBbAYeBU7edr/wLFz586pC19YB7Sk\n",
"upnd9PU+KgiJUltfuRm4Hbi9pso3cceRJ84EZuW27Kso2rLx2AHrPzyk+OO1F+bvbx6qOjsHPlxY\n",
"tlrBh1if5fbfjQ8XHPGai81IGDdDmE4Cmlz8fUEQBCG5TAE+NAzjAIDWehUwGeshOeK6WuspWAOc\n",
"RruNhLCNg2JgeNDnUKyH/Cn23za6OlfktrasLdizc1nJptV3Dv3gjU/yWvcXA4OxvAaX+/58ywj7\n",
"/9H235FYT/8fA2uwHh7eBnxYDxEfVbY2dSW7XYIgpIfa+sq1wFrgAYCaKt+EPeOnzgRmAmWqvW1K\n",
"YfP2if22f1LUf9tHk/vt+OTcgj07inPbWgeqzo7BD/c7ci/wMaa5ScFHWNeK7cCuEJ+9QIsXci9S\n",
"ZkBorc8Crgma/UPDMJZorV8EhmElmHker8SpeUUHeEeLV3SAd7SIjt54RYtXdKSQIcAurfVv7Ond\n",
"wFCcH/5Drati2AYA90z9wjwUuUAeJjlALpCLIh8osD/5mOQD+WDmA4XjoJ/q7DRzOtrbcjra21Vn\n",
"e2dOR3tnTkdbZ057O6qzI0d1dXYpGAiciJXjcAawE+eb+4fAC1gPAR8Bmy9tW3ZiIsd8SFF+7piB\n",
"vaq4JoTqMZBE0LK+30cFIWXU1leuw/JIPuifV1PlG9wydNSUXYdPn4L1UmIycEhLy94JJV0U5R3Y\n",
"MzFv/94p+fua9xXs3d2S27KvK7ethdzWAyq3rSUnp601L7e9LS+no61AdXbmYXblPdz/qHYzJ7fd\n",
"zMltM3Ny2syc3DZT5XSgVIeZk9OJUh2myukwc+x5KqcTpUyU6jSV6gLVZc/rQqkuU2GCMq3/lf9/\n",
"c/I93w3ZVmWa7hgxWusTsWJbP+O0fMGCBa5bV4IgCH2ZOXPmhHyQjAet9eHA9cDVWIbAH4BbDcNY\n",
"Ge26WB6IqLYBcq8QBEFIJaHuE26GMG0O9/vJvrEJgiAIKWcVVsiPnymhHvxDrau1zo1hG3KvEARB\n",
"cIHkjDwTA1rrv2utFwD3At9J9+8LgiAIqcEwjE6sBOj5WBVLbvIv01pfrLX+TKR1w21DEARB8Aau\n",
"hTAJgiAIgiAIgpB5pN0DIQiCIAiCIAhC5iIGhCAIgiAIgiAIUePGSNSnA78CXjAMo9qe9y3ga1j1\n",
"ba82DGOFPf8y4NtAB3CDYRjP2/PvxxqEpwW43zCMB9KtQ2s9CHg8YJPHGYYxKN06wq2fYi2h5vfa\n",
"hks6kjLieZK03E96+2uv+VrrgcATAZtMR3+NaX4cWu7B2q85wNcNw1gd68jGSeqvydCRrP6aDC33\n",
"k2B/FXqSrOObLpz6kcuSwpKM8zgdZMII634yZZ/6ycA+m1HXBCfc8EAUYo3gB4DWugjrYJ8MVAK3\n",
"Baz7Y6wdfG7QfBO4xDCM2Qnc3BLSYRjGbvv3ZwPfBww3dERYPyVaIvxmj224pcMwjBsMw6jAulhf\n",
"66YW0thfQ803DKM5nf01zv0UE4ZhXGW352agWmut7P/Ptj832b+Z4zTfqT3p1mGvm7T+mqR9koz+\n",
"KgSQxOtRWgjuR27riYJk3HdSSrjz36N4fp8Gkml9NtOuCU6k3YAwDOM5YEfALAXka60LsQbiGam1\n",
"9ntGPsAaze98YFHQphI68ZKoA+B7wP+6pMNp/fwUawn5mw7bcEVHAAmNeJ6glryg78VNkvdJOvpr\n",
"IvpiZQ/QRsDIxoY1irF/ZONQ85PSXxPRgTWgUCAJ9ddEtPj3iY2XH2wymWQd33Th70eeJsnncaqI\n",
"5vz3DBmyT53IiD4bQKZdE7pxcxwIAAzD2Ke1vg14GuvAl9qfrVgl/P4HaxTR3wd8bQ/wsNZ6B/AD\n",
"I0yN8BTrQGs9FBhnGMZ7iWqIR0eI9Qfb66dEi2EYW1P1m8nUoVMw4nmMWvzHLW39NYp9kpb+Gmp/\n",
"pKjvXA7cjTVacVJGNnZDR5L7ayJakt5fswWt9VnANUGzf2gYxpJUXI8SJYTeHwVcH/z9yBNEodfL\n",
"xDJKuxA/nuqz4fDiNSEWXDcgAAzD+AfwDwCt9dv2Q8Yk4HzDMD5rz39Ra/2cbb1/z543HagDLnRD\n",
"h/21K4H7kvH78epwWj+VWsLNTxXx6DAM4wxtjXj+IOA44nk6tKSzv4abb5OW/pqAvpjQWs8FlhuG\n",
"sUxbIxsPpucIxtuwPK1O85NGMnQkq78mqiVV/TUbMAxjPtb4FU7LUnI9SoRwegP7UXpVhSac3gxg\n",
"Oym+DmU7Xuyz4fDiNSEW3KrC5Oge11qfB7xjT+bZH+w4wf5YsbmBtADtbumwQzLOB/6VgIaEdYRY\n",
"P5VaIs1PRvhDMnRAhBHP06wlHf015Pw099e450eL1vp4YKZhGHfZs0KNghxpdOSE+msSdUCC/TXJ\n",
"WhLtr0JvknE9SjkO/SgT8HrYXSyjtHsFr+/TbjK0z0KGXBOccKMK07VYScAjtdYDDcP4ltb6z1gn\n",
"1l7gywCGYXyotV6ktX4Ky9D5vWEYLfY2HgFGYbnav+2WDuAC4D+GYXTFoyFZOrTWf8KqPtC9fiq1\n",
"hPtNp224pOPvWK7BNhIY8TxJWtLWX8PpII39NZyOZPVX4FFgg9b6eeA9wzC+r7X2j2AMASMbO80P\n",
"1R6XdCSlvyZJS8L9VehJEo9vugjsR0v8XimvkqTzOKWEO+e8SCbs0yAyrc9m2jWhFzIStSAIgiAI\n",
"giAIUSMDyQmCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiC\n",
"IAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDVi\n",
"QAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCIAiCEDViQAiCIAiCkHEo\n",
"pb6olFqslNqilFqjlGpQSk12W1cgSqnDlFIbbI0b3NYjCMlCDAjB8yil7ldKrVVK5QfMe1kp9VU3\n",
"dTmRrJuFUmqWUuptpdQ2pdRqpdS349jGeKXUk0qp7Uqpj5VSv1NKFcSrSRAEwSsopc4H7gK+b5rm\n",
"CNM0DwV+BHjqId00zVWmaY4DLnZbiyAkEzEghExhPPDNgGnT/niKZNwslFITgP8CvzdNcxgwB/iR\n",
"UuqiGLaRAzwJfAKMBCYDE4Ffx6tLEATBQ/wMuMU0zRf9M0zTXGyaZiuAUmqkUurvSql1tnfiD0qp\n",
"ksANKKVuUko9pJT6mb3OR0qpc4PWWauU+pJS6ln75dCSwBcxSqnBSqk/K6XWK6WWK6W+H0KvCtUQ\n",
"pdRApdQ9toZ1SimfUmpE0DqnKKXesV8GvaqUekMptTxonYVKqf9RSj1ia12rlBoesHyavazJfjk1\n",
"Tyk1Kqit37dfWv1FKfUFpdQmpdQtobQL2YsYEEImYGI9DF8X6IUIJNGbhf3Gf5m9znal1Gfsm8IW\n",
"pdSxAds4XSn1b/tGsVUp9ahSqthJUgLt/RrwgWmafwIwTXMNUAd8J4ZtnA5MBX5smma7aZr7gGrg\n",
"cqVUvwS0CYIguIpSKheYDrwSYnkO8B9gFdaLkzJgMPAnh9XPw3oWmmR/5jus81PgRvvl0CmmabYF\n",
"LHsA6If1kuZk4OuxvOyxuR/oj3XNnoTlRXkiqD3/AG41TXMU8DqwD5jhsK0fAQ/bWo82TXNrwLJ9\n",
"wG2maZYBY4Eu4IaA5SYwDTgH+Kqt5RvAlTG2R8gCxIAQMoV3gTeBq4IXJPFmcSjwInAP8CBwB9AA\n",
"XBKwzk7gh6ZpTgWm2J+r42+WI9OxbhCBvA0c67BuuG2sNE1zp3+GaZpNWDeIIxJWKAiC4B6HAHnA\n",
"nhDLy4EJwA2mRQvWC5iLlFLDgtZ9zTTNm/zrmabZEbTctLezCMA0ze7fVEqNBOYCPzBNs800zR1Y\n",
"940rom2IUuoQ4HPA9+xtdAI/ASYrpcrt1Ubabf6PPT0PGGWa5i4HrXebpvnvYK329BrTNN+z/2/B\n",
"ejFXFrQNH7DW/v/vwHpgSLTtEbKHPLcFCEIM3Aw8pZT6Y9D8HjcLoEUp9R1gq1JqmGma2wLWfc00\n",
"zZvs/1uCtrPFNE1/Et67pmkuV0r1uHiaprk04P9dSqnn6H0BTpQBWIZKIDuBEod1QzHQYRsAu+zt\n",
"C4IgZCr+B+MRwGqH5ROAdaZpdvlnmKa5Qym1014WeE9wuk4GsyPE/HFYb/EXKdXtdM4DtkSxzUCt\n",
"O0zT3B2gtUMptQ4rdLcR2Iz1UP8lpdT9wEXAyzFqRSlViuVNOcnWPRDrnhBMV9D/iXjUhT6KeCCE\n",
"TMG035wsovcbf8ebBdaNYULQutHcLAIvmD0unnZi8n12DOpLwGdJviG+h95vfEqB5sAZSqnX7DhX\n",
"/yfQnb3H/k4wg4HdDvMFQRAyAvvN+gdARYhV1gOHqp6FN0ZgXRPXBW4qQSmrgQ6gzDTNQ+3PONM0\n",
"j49hG+uBIUqpoQFaC7E84usA7Hvb5UA9sAYowApVipU/AflAhWmapwG/QYwDIU7EgBAyBf9F7mas\n",
"WP6igGXpulkAPI510zjNNM3Tsdy9yb4AvwOcGDTveGBx4AzTNE+2b1b+T2DY0zvAYfYbJwCUUkfa\n",
"Wnsk3gmCIGQgt2MVl5ijDnK6UmoSVgjoWuB2pVSuUqoI+D3wjyCPdELXbtM0twOPAPf7r7X270Xt\n",
"LTZNczPwb+B3Sql+Sqk84E5ghWmab9rbLAX+AswwTXOCaZpfCfRYBBGuTWOxQltblFJHAz/EMigE\n",
"IWbEgBAyge4LommaS7AS5wLzAdJys7AZCzSZptmllDod+DrJvwA/AByplLrcvin6yxPeF8M2XgRW\n",
"AHVKqQI70ftO4EF/lRJBEIRMxTTNvwHfBX6FFTK0DrgGKLFDWedihQCtwfJWbMd6i99jMyT+Yukq\n",
"rGvtIjvkdRlWiFEvycBI21v8n6BlX8XyGi/DekE1Aisvwk8r1ouyhQEe5w9DVEcK154fAlfbOm/D\n",
"2nejQ6xrhvhfEABQ1nmWXrTWtwKnYIWHXGkYhlMMoyAAoJT6C7DBNM2f2dNHY72Nv9w0zQfteaOA\n",
"uzkY2/kMVgWivQHbuRE4zDTNyxx+YxbWw/V4pdQ3gC+ZplmhlLodGGqa5pX2ehdi1R43sQyZt4HP\n",
"maZ5RtD2ZgLPYcWuvmOa5twY2zwb6+I+HsuT8kvTNK+NcRsTgD9g7ZMi4DXgPDt5ThDSitb6dKw+\n",
"/YJhGNUR1j0TuNGevNEwjIZU6xMEr2Ina/uAKtM0l9nzjgKWAMPskF1BSCuuGBB+tNanApcZhvEt\n",
"10QIgsdRSj0FNAHXAp1mHCetUuoarLdip2Cd9+3JVSkI4bGNggHAKeEMCK11DvAScKY961lgpmEY\n",
"8hZUyEqUNWjez7ByF/YqpYYANwEzTdM8xlVxQtbidgjTSVgPRoIghOaHwEwsN/zkOLfxv8BHwEqc\n",
"3euCkFIMw3iOMBViApgCfGgYxgHDMA5glWeOt98LQl/gKWAB8J4dfrQIq4rgbFdVCVmNa2VctdYv\n",
"AsOwBrwSBCEEtsv6hAS3cQC4IDmKBCGlDAF2aa1/Y0/vBoZixZkLQtZhV2G63v4IgidwzQNhGMYZ\n",
"WCPuPuiWBkEQBMFzbMcqN/wToMb+f1vYbwiCIAhpxe2B5DaH0rBgwQKJdxUEQUghc+bMSXcN+Gh+\n",
"bxVweMD0FMMwVoZaWe4VgiAIqSPUfcIVA0Jr/Xes8KU2rOHlHXHh5pZ2lFKzTNNc6LaOVJINbYTs\n",
"aKe0se+Q7gdvrfW1wLnASK31QH/xDK31xcB+wzD+C2AYRqfW+mZgvv3VmyJtO5Z7Rf9DJlw04rTP\n",
"3zt8xvlDALa+/uSOLS/941sHtqx/LLYWZTbZ0s+DydZ2g7Q9G9ueaLvD3SdcMSAMw7jEjd8VBEEQ\n",
"3MEwjDuAOxzmP+owbx4wLxU6Dnyy7rH+I8aza+nLV7Tv23222daSdcaDIAhCorgdwpT1ZINFnA1t\n",
"hOxop7RR6AvYBsNjSinTNM2sNB6ytZ9na7tB2u62BjdIZbvdLuMqCIIgCIIgCEIGIQaEy9gjIPdp\n",
"sqGNkB3tlDYKQt8gW/t5trYbpO1ua3CDVLZbDAhBEARBEARBEKJGDAiXyYa4vGxoI2RHO6WNgtA3\n",
"yNZ+nq3tBmm72xrcQHIgBEEQBEEQBEHwBGJAuEw2xOVlQxshO9opbRSEvkG29vNsbTdI293W4AaS\n",
"AyEIgiAIgiAIgicQA8JlsiEuLxvaCNnRTmmjIPQNsrWfZ2u7QdrutgY3kBwIQRAEQRAEQRA8gRgQ\n",
"LpMNcXnZ0EbIjnZKGwWhb5Ct/Txb2w3Sdrc1uIHkQAiCIAiCIAiC4AnEgHCZbIjLy4Y2Qna0U9oo\n",
"CH2DbO3n2dpukLa7rcENJAdCEARBEARBEARPIAaEy2RDXF42tBGyo53SRkHoG2RrP8/WdoO03W0N\n",
"biA5EIIgCIIgCIIgeII8twVkO9kQl5cNbYTsaKe00Rmlpp3Xj9Hfb2FwIexpgQ2/Nc2lT6VAniAk\n",
"hWw4l53I1naDtN1tDW6QynaLASEIgpAA5eowfRsD6r/Oe0NO5A02MB644jClpiFGhCAIgtAXkRAm\n",
"l8mGuLxsaCNkRzuljT1WHINSv1rAur+O4Pghs1hoGw8Af5wM47+bMpGCkCDZcC47ka3tBmm72xrc\n",
"IJXtdsUDobW+B5iKZcB83TCM1W7oEARBiBmlpgLVwOeB+0/grLdW8KeTeq9Y0j/NygRBEAQhLbji\n",
"gTAM4yrDMGYDN2PdiLOWbIjLy4Y2Qna0M6vbqNQJKPUY8BKwAZiCaf5wBex23tLeAymSKAgJkw3n\n",
"shPZ2m6QtrutwQ1cHQdCaz0+4P8vaK3v0FoPS9Lv7wHakrQtQRCE5KKUQqk5KDUf+CeW8XAopnkz\n",
"prndWmnDb+GKlT2/+M1VsP5/06xWEARBENJCNB6IJwC01kcANwA7gT8m6fcvB+qTtK2MJBvi8rKh\n",
"jZAd7cyaNiqVg1KfB14Hfgf8DZiMad6Nae4LXN9KlH7t+3DeM6BfsP4u+p4kUAteJhvOZSeytd0g\n",
"bXdbgxu4nQOx1/57CfBzwzD+qbV+NdEf1lrPBZYbhrEs0W0JgiAkBaUK/gvnAvdghSbdBvwb0+wK\n",
"9zXbWBCDQRAEQcgKovFA5GitpwPnA8/Y88LeTCOhtT4emGkYxl3h1gu0nJRSs/ritD8+zSt6UjFt\n",
"muZCL+lJ1TQBeEGP9Nfop49U6twXlfodsOo8mP47uCcPrsU0H8c0u9zWl+r+KmQfEhOefUjbs49U\n",
"tluZphl2Ba312cAvgD8ahlGvtc4FfmkYxg/i/VGt9WqsJMQuYIlhGN8LXmfBggXmnDlzVLy/IQiC\n",
"EBGlhgHfBa4GFgK/wDTfclVTmugr19hE2qGUMk3TzPh9IAiCkArCXV8jhjAZhjEPmBcw3QnEbTzY\n",
"25iUyPf7EoFvdfsq2dBGyI529pk2KjUe+CFwGfAYcAqmucJa1EfaKAhhyNZ+nq3tBml7NrY9le2W\n",
"geQEQcgelDoSpe4H3gHagWmY5pV+40EQBEEQhMhEZUBorb+itb7Z/l9prU9NrazsIRss4mxoI2RH\n",
"OzO2jUrNQKl/Ac8DK4DDMM1qTPOj4FUzto2CEAPZ2s+ztd0gbXdbgxu4PQ7Er4ETgXMADMMwgTtT\n",
"JUgQBCEZ5Kmjzvuimt74phqyczMFC5+m5GPgUEyzFtPcGbiuUtPOU+rcZ5TSC62/085zR7UgCIIg\n",
"eJ9oPBAnGobxXWB/wLzwmddC1GRDNZRsaCNkRzu91kbHB3+lch9Sg29/h4//eQMdJ9zN3YPHsbff\n",
"eXzxLMVRs5y2ASffDU9/GoyZ1t+T7xYjQujLeO1cThfZ2m6QtrutwQ1S2e5oxoFQWuvu9bTWhwG5\n",
"qRIkCIIQDQcf/P84GaCAVqqYdexecjqm01l0PQ8V/pfPYHa/J/njZDjvu/Qar2Hc9/zbOEiodQVB\n",
"EARBiMYDUQ88B0yww5kWAjelUFNWkQ1xednQRsiOdnqrjdaD/wCa+TF1rOFQzqZ0xJeYvuEYznn3\n",
"SeYGGA9+Svr33s6Afs7bd1pXEPoG3jqX00e2thuk7W5rcINUtjuaMq5/1VovBuZgVS05w/j/9u48\n",
"PKryeuD49yayBNmCqOwCgoriVhV3QKNYcKnr0bZatWpV/Ik7oFJBxb3urdpa7arVo1XryuqCVMWl\n",
"KmorS0DCoigkQJCEkMz9/XFnzCRMkkkyMzeZ93yeh4e528w5c2cmc+ZdrurSdAVkjDHJ6ENupwuZ\n",
"xEU8wkyOZjSvMZ+9ASmH0vLER20s23pdY/Y1zSEiRwGTo4uTVfX1evb9M7ArUA78WVX/kv4IjTHG\n",
"JCOZLkyo6hfAF2mOxUkuzE3sQo7gRp5h5Bh0Veo7LmgpKC0/lc+feoYV+39B7gFP0JcDmccSdo47\n",
"YmMZLH8QLti5Ztek8wuh6MGtH2H5A8nva5pKRHKAG4Gjoqumi8gb0Yk5EvGB01W1KCMBOsaFz6tE\n",
"XM0bLHcXc09n3kkVEMYYkwm1iwVY/i4cfCY8OmgPPmcCd3Ac3x79Ae2fvZYdz51N5RTYeasv/r7/\n",
"+aueN5RgHEPHvKCoCNbXfsyt912bB6tvTLSvaZbBwEJVLQMQkUJgEMG0unWxq0QbY0wL1KQCQkQe\n",
"VtWLUx2Mi1yoiF3IEdzIM5051h4UHfjJ4QdzboeJnMABfMD9XMb/8W3OBn7a2fdffcLzhpbUVSRE\n",
"/0+qCGjMvqbJugHrROTe6PJ6YDvqLiBKgSdFpBi4QlUXZyBGZ7jweZWIq3mD5R52DGEIZQyEiOxH\n",
"4ulaPeCgdAVkjMlOiVsX+h5cvdxr++riwefHTONaPunQhzO5i2s4nacpJzauORjgbF/8W5W1QFdg\n",
"LMHfkYeANXXtrKrjAERkH+Au4KS69o1vpo9NW2jLtmzLtmzLzVuuj+f7ibufisg64OO6DlTVIxq6\n",
"8+aYPXu2X1BQkPXN1y70y3MhR3Ajz6bmuHXrwhzgb1vg0TbVe51Rlsvf807jGSZyOwC3M5BneIaq\n",
"rX7rGDPN918d3bQsGoo1+88jZP4zVkRyCU78UQQFxExVPTSJ43YDblJVSbS9OXl4nuf7vp/1f2cS\n",
"ceV1XpureYPl7mLuzc27vs/X+rowfZbuIsEY44ra11qYQXzx0J4yzmF93jXswgr6cB238ipjgLeB\n",
"X22CxztUH2sDnFsjVa0SkRuBmdFVU2LbROQ0YJOqvhK37imgJ0FXpksyGKoxxpgG1FdATK5nm0kR\n",
"FypiF3IEN/JsTI41uyx12Kvm1uCjpzPruZiHuYz7+ZABnM2QzXN5pV31fn8thPf/BmMOamgwdKq4\n",
"cB7DoqozCKrH2uufSbDujIwE5ShXX+eu5g2We9gxhCGUMRD1zc9tjDFQu0j4piO096BraXB7WC94\n",
"vGew56Qax+3IOi5nIhfwKK8xmlHM4HP2BIZ/BmPWZKpYMMYYY0zj2TSuIXOhX54LOYIbedYcrBo/\n",
"rmEOMB24JbrnJGBq3JGjgOsZwHlcw12czhM8SZ/IfnyUs4z+0X3OL4Tiyb4/J9SCwYXzaIyrr3NX\n",
"8wbL3cXc7ToQxphQVbc0nNDD84ZXBi0N/QfAo/nBHjOoLh6g9kfLXnRhAvM4hrv8p+m3fB/2W7yc\n",
"7+bA2Ix1TTLGGGNMatQ3jeupqvqsiFyVYLOvqvekMS5nuFARu5AjZG+edbc0TInbq/ZHSSXgczhv\n",
"M5Hb2ZtPuZcrGAez1vizRo3NUOxNka3n0Zh4rr7OXc0bLPewYwhDOvPOqe9xo/+PAzrW+tcpXQEZ\n",
"Y1qa+BmU4lsaKuP2qb7tEeE4tmUu/XicX/ICJ7IzhdzNl4Vr+ea+TEVtjDHGmIKQJzYAACAASURB\n",
"VPSobxD1P6M3i1T1xlQ+qIgcDtwNvKWq16TyvlsbF/rluZAjZF+e1d2WOsZdODL+IyMY1xAUFKPY\n",
"homcwR5M4A4qaMs97FjyFF2XVDFrI7zQarooZdt5NCYRV1/nruYNlruLuYc9BmJ8Gh63HXAbcEga\n",
"7tsY00w1uy3Fz6AU3+owHIA8JnIRr266mgXbFNF+883svvQZuq7yWf6g789q8QWDMcYYYxqnvi5M\n",
"AKjqu6l+UFWdBRSn+n5bIxcqYhdyhGzLM77bUqyloebtrpRwPXMo4r6qy/nf/F5UjDjIX9/5af/d\n",
"vSP+a6NbQ2tDItl1Ho1JzNXXuat5g+UedgxhCOU6EMYYl3VqX317ePT/XwNfrt+JZV9dy196/JTV\n",
"271F/urr6HbzH/xVvw8jSmOMMcZkXoMtECJyQq3lHBF5MH0hucXzvJFhx5BuLuQI2ZZnaXnN5eEM\n",
"4hc8xZyKr/ig34WsfKozlTsf73/bJ9uKh+w6j8Yk5urr3NW8wXIPO4YwpDPvBgsIoMYgZ1WNAENT\n",
"8NhegzvEJe553khbtuWWvAzs05LiaXi59wTPGz3N8+RNzztkgecducDzRs33vNHfwea94NzNAPvy\n",
"H55GeI89I+3YMB/YxYMXPBjYsvKx5cYsY4wxxjSR5/t+wg0iMgTYHbiZYBSlRzC1647AVao6qKkP\n",
"KiITgNFAD4KZmC6svc/s2bP9goKCBosMY0zjBAOku90Eg3eHx/Kqr+1wDNXXePAZyf1cx61VQ9kQ\n",
"+RO9C/9MzvUL/UXPhRq8SZls+YxtTh6e5/m+77f658AYY9Khvs/X+sZA7AIcD3SL/h9TDpzTnIBU\n",
"9Q7gjubchzGmcaoLhwN3h555MDW6JXZth0l43MwJvMC13EZX1nEHt+f+g6dnlfnTf3xdiLEbY4wx\n",
"puWo7zoQ/wL+JSJ/VNXzMxiTUzwv++cmdiFHaFl5Vl/DoaoX5PaELRth2A7Qq0NQOEyJ23sb2lDB\n",
"z/icCezB92zLbVzLC5xIhFxgWvvq+205OaaLCzka4+rr3NW8wXJ3Mfd05t3gLExWPBjTetRsZTg7\n",
"r7pL0qTuNQuH4HoOHfieC3iHKxnEArbhUv7AbAqoOURpY1kmczDGGGNMy5bMIGqTRi5UxC7kCOHn\n",
"WX3xt+H7BWMbYl2ToPq3gqBw6MaB3MBwljKAw9nMKRQwij8zmzeoWTycXwhFP8y6FnaOmeBCjsa4\n",
"+jp3NW+w3MOOIQyhXgdCRLYDTgS6xsekqvekKyhjTFPELv42Jboc//YOCofe7MNVDONsFvM8B3M4\n",
"p7KQ4nJYvBymbgDawuiekPc1lK+Eogdb6wXhjDHGGJMeyVxIbjrwObA0zbE4yYV+eS7kCOHmGbQ+\n",
"7DosWKqk5v+wK7synr05keU8zij25GBWsbocFn8Bq25Itkhw4Vy6kKMxrr7OXc0bLPdM515SUuKR\n",
"+JIFdc38lvL1PXv2PKS8vPyNOvZrlmQKiFJVPScdD26Mab7qrks75gdrRgHXA8ewP+cykQ0cxlx+\n",
"y3EMpvemYioKYZG1LhgTopKSklwgN7ro1fq/ObeT2nf/YcM6rly9Jr/OAD288i2RpKa49Ty8zZXJ\n",
"7Ru9a6+iKth/S8TPAcgBryISTKmbA96W6O2q6HaAiB/c9jzPq4r4NdYFt4Nu2TkeXlUkyNfz8Kqi\n",
"9+VDzsm/uKD/a59+NTSIAy/i131Nqqo6prmP1DP1byRS9/3Vd1wmnPrLSwb/84PC9UEs1XHGx1XP\n",
"ehKt92s9f3XdV7qnS47U/WUagFMuumboI29+WRnE5f8Qtx89LuL7Xvy6WLyR6nU/5JBov9j9+D5e\n",
"7HZVxCd4qBrPiR+/f/X66Itt6+ezjv2j91Nrfz9u/za5Xs5Rx53Uqb7npTnqvA5EjIj8Bvijqn6Z\n",
"riASyZY5yo1Jp+hsS3+B17pXX89hKgXcy7U8yGC+4T52KvsjgwtLqVphRYOJyZbP2NZ2HYiSkpLc\n",
"D5ZvGPzRyg39izdV5vjBX/zYl5i42/ixLxMR3yf+S0lM7Gak1n1UH1f95SW6b3A7Uvcf/qroF5Nk\n",
"RBr6ArHV/nUfHx9TfAyx1VU19iVu32B9JO7O44+PP66qVt614zEmm3Rql5t7/ZH9lxUM3WlxU++j\n",
"qdeBiNkHmCkin8St81X1hKYGZIxpnpqzLfXNA8jhUE7iTSbSmw5s4W56bXyO9j8r8f/3kg1YMiZ8\n",
"7yxY0Xde0frdZi4q5rvvt5SHHY8xxjRVMrMwTQXOAu6u9c+kgOd5I8OOId1cyBEyl2ft2ZbaUs4v\n",
"eYz/sjtX8yo38zBDWc3j9J5b4v/vpdQ+dvafSxdyNJn16dKv8x+bs2Dkg/9evvuTn6ze8t33W7aE\n",
"HdPquc/vE3YMYXA1b7Dcw44hDPfedN2B6brvZK4D8Wa6HtwY0zjVXZYe7d6Ra/kVd3MFj/MFHbmQ\n",
"x3mLEQS9FGpOv2qMybySkpK86QvW7j33q3Xd5i3fsAnYHHZMxhiTCsl0YUJEegI9CL6ZeEAPVX0l\n",
"nYG5woUZEVzIEdKTZ80rSlf0g2F53dmu7aXcwMU8wOscx/FM5xNKgZnAm8C8NbB8XDrGOrhwLl3I\n",
"0aRXSUnJNv/+at2Qd5et7/vGkpKyLVX+prBjqm3Hw076pOG9so+reYPlHnYMYbjihlvnpeu+k7kO\n",
"xC3AOQS/nHwHDCAYrWkFhDEpUD2eofNA2NIGvAhUFkNlPgzLg3PawnT6sYGr8DiT3/IMv+BgHqWQ\n",
"L4B9o/c0nKDlIT3FgzGmfiUlJd5n32wcMK9o/eAZC4ur1pVXtrjCwRhjUiGZMRCnAoOAe4ArgQKg\n",
"NJ1BucSF/tYu5AjJ5+l5Q8d43uhpnjdqvueNXAeDX4DD94Px+bB/R7iuMxzYHw7rAo+3HcIT/JkV\n",
"/IfHKKc9e/AkF9GdQn4GHAP8GjijHEZ9BO+ltXhw4Vy6kKNJvU+WfL2Dfrr6iPveLhqk87/dvK68\n",
"srLho8Ljap9wV/MGyz3sGMIQ6hgIYJmqlonIV8CeqvqIiOyWroCMyVY1Z046Oy+YcjU2O9pUYBJw\n",
"yw//H8R5TOQnHMhsHuA6LmMs67kzuv92BIVDLvDhGlh+trU6GJN5X636btu5X63b9/XCko6ffbOx\n",
"HKho6JjlLz00omL92uMA2nbZ7uW+x499K+2BGmNMCiVTQKwUkW4E3ZbeFpF+JNdyYZLgQn9rF3KE\n",
"+vOMu9jboJrFwpS4vbYBfI7hK65lBP34lN9wC2ewG+VcR/AWvD563HDC6LLkwrl0IUfTfCUlJW3f\n",
"KCwZ+u6y9T3mLC3ZFPFJalrW5S89NKL9Dv2u7HPcxZ0B1rz/yi5FLz7k9zth7Jz0RlyTq33CXc0b\n",
"LPewYwhDqGMggHGqWgogImcRdGE6MV0BGZNt4mdOqi4YYm+9oJdDDlWcynwm8iO2YSV3cA9P0Ysq\n",
"ZgPHUl04QNDysKgcir+AVTdYy4MxmVNSUpLz4YoNg+YVbRg4a9HaLd9viTRqnEPF+rXH9Tnu4s6e\n",
"F7Q+dh92bOclT0w9nuAXApMm1upjTGolM41radzt+cD8tEbkGM/zRmb7L54u5AiJ86xueejdPVgT\n",
"6xYd/N+OEZzNFK7hIb6hD79mN17hPmAGcCbBW3Qm8HEF/LgMOhRB+cqwrijtwrl0IUfTNPMWrez9\n",
"ftH6IdMXFnurN1a06gvBrZ77/D6u/CrbUlp9wubSOa/N1dzvvem6Awv0iSZfibo+SU3jaoxpnOrp\n",
"V/scAo92CrosAYwCrqcTh3ERR3I5X/IxO3EuhzAXLwLrNsNtFVBZAqM7Qt7XYRYMxhj4cvnqLu8u\n",
"W7/3rEXFHRau2dSswqFtl+1eXvP+K7t0H3Zs7Mvshjadt0vpBR9NTdbqY0zqJTON60bAr7XaV9XO\n",
"6QnJLS780ulCjhDkufVA6T9GtwaFww6M4zL+wK+4l5l0jRxL/+8/ocdXraVIcOFcupCjSU5JSUn7\n",
"mYvW7jl36frt3y1avwmSG+dQn77Hj32r6MWH/CVPTD2+fO3K/TsN2OvuMH4Jd/HXWNe5fM5dzT3U\n",
"MRCq2jF+WUQOAfZrzoOKyFHA5OjiZFV9vTn3Z0zYahYOPfOqB0r3A6A/fbma//JT+vM0e3Aw+xcv\n",
"pvgs33+nRRcMxqRKYz73w/4bUVJSkvte0foh7y5b33fW4uLyVF8ILlowzPlwfMEbe1z2iP0KnmbW\n",
"6mNM6jV6NiVVfQfYpakPKCI5wI0EP8mOAqaIiFf/UdnLhTnnsz3H6nEOw/eDx/Kq6/JtGMrO/I2h\n",
"fMABrGcIQ/iKsexVFhQPLbu1IZFsP5fgRo6Z1pjP/TD/RpSUlHj//nJF/8feX1lwz5yiHq8tWFu2\n",
"pcqv3QKfFVyaF7/v8WPfKltddPeSJ6Z++N8HLqZsdVEorT5hc+mc1+Zq7qFeB0JE9qNmF6YdgeYE\n",
"NBhYqKpl0fsvJLhQ3aJm3KcxIeo7Dh4dVD3DUiWHMpeJPMGP+J77OYFL6MQG2gK/BRZ/0RqLB2Oa\n",
"oTGf+6H8jfho8aruH63csNeMhcVtlq0r35zOxzKZF3arj80CZbJNMoOo76ZmAVECTGzGY3YD1onI\n",
"vdHl9QRXxXKygHChv3W25lg9UDrvsGDNFsbwCtfyIj35HXdyHqeSy2buiDvq/EIonpzwDluBbD2X\n",
"8VzIMQSN+dzP6N+IJau+7TCvaMM+bxaWdP3PqtJNgBPFg6t9wsPQUmaBcvmcu5b78pceGrFlw9rj\n",
"tvEry/N23Glz2eplz6b6MZIZAzEyxY+5FugKjCW4DO9DwJoUP4YxKVddMFT1gop+MCwPzmmby4Oc\n",
"zhNM5B9U8Udu536eZQeqeAP4qEVMv2pMyBrzuZ/RvxF/fH/VEbMXF38f8UnpOAdjYlyeBcpaXjKv\n",
"dsH63byXd8/boR9l3xaltIhIahpXEWkD5Kpqedy6gaq6pAmPWUjNMRSDVTXhHLXx87HH+iVn23Js\n",
"XUuJJx3LtXMNO56mLfeeAKMuhXN7w3TAoz3Xcy4ncQ2fUsQ8ruEPTCcPmAW8EIFvF8G3V/r+56+G\n",
"H7+9XpNdzo7Xa8PLs2bNIoOS/txv5L4AeN5WMwUmyee2k3i5acemgs+H43kjvMd3Ueaf87zez221\n",
"rnztHvt/OP7IrD73Oe1eoddRu9LnuCMBWD3n9f3/M6mMSMWxIUeW3fJ6P0ef444lVrBuf+Bx3b6b\n",
"t+UZrwkjyer7M+H5dYwPE5HOBJ26BWhD8EtQBPgXcC3wD1U9pvHhgIiMAm6ILt6oqjNr7zN79my/\n",
"oKAg6wdXu3DRqmzI0fNGT4PXjoFJdOFqxnIK4/iC9+nC7fyJd6kkuOBbLlAFzPvM92fsFW7UqZcN\n",
"57IhLuQImf+MretzX0ROAzap6isN7ZtIc/KInev3F63c8aOVpUOnLViTu2pDRUVT7qu1iP0iXL52\n",
"5f6dB+41JYxfhD8cX/DG/nfOPiLTjwvhXFAs9otw/CxQYQzkzvTzXvj3m+8a+PNJ+8e+yPq+z5In\n",
"pn6485m/viZTMcSE+ZprCc/7oscmzli/4INGf2ev7/O1vhaIvwDvALup6kYAEekEXAy8D3zY2EBi\n",
"VHUGwaV2nefCF5XWnGP8OIcefM0VvMF5PMwr9OYoZvEFTwGHRPceHnfkmJUhhJt2rflcJsuFHMNQ\n",
"1+e+qj6T7L6pFjvXwwb3Xj24e8m3u23fYcAHyzfsMm3h2i2lm6uq0v34mZagL/6Vrl2ROYy+8PHX\n",
"/gBo03m7l1x6zk1m1Z62+Lt5LxdXlKx+NNWPU18BsZOqnhS/QlVLgTtF5EzgvFQHY0xLEpuedSBH\n",
"DrqGSQh78Hd25kf8hyKWAf8AjgGuB26JO/L8Qih6MJSgjTFNkp+f7x+Rn79kn14lRUN23Hb395at\n",
"7/PGkpKsmsbV5b74YYvNAhV2HJnk+vU3Yq19eb0Hs/ylh0ZkqrUvVrAufXLq8dv4leUbvl52f6rH\n",
"P0D9BUSuiPRV1eXxK0WkDxBR1e9THYyLXOgu0RpyrDlAOrcnbNm4L517j6e0TQHn8zCnsiv5rOFk\n",
"4A9UFwwzgY+jA6XbrIWqhdk8ULo1nMvmciFHE0h0rvPz8yuPz8+fP2SHbxft2aPj3m8tLen24YpS\n",
"G2CdJcLowuQql1tewm7t63fC2Dmd2uX+u8PcP/R4+dO3U148QP0FxPXAXBF5HYgNlh4AjAT+Lx3B\n",
"GBMGzxs6GYaNh3M6wDSG04Nrub/7nnzHvZzMBQxgI7cR/Hg0k2BCmDOAiu+h/O1YwWBfPI3JHoN6\n",
"71A2qPcO7+3R4+tu7xdt2Gv6orXtlha37utDhP2LcFi/yLouzOfdxZYXcKO1r84CQlVfFpE3gdFA\n",
"3+jqV4FLrfUhdVz4wtlScwxaHbrdBIP29fhjzvGczkRWsB0LuZM7+AmLqeBqYFL0iOHUGufwtu+/\n",
"Ojq21FLzTCXL0WSTZM71nv17Fvfp0v6tXbbv0O+DFRt2nb5wrV+8qXJLBsJLuTB/EQ77F9kY11of\n",
"WsrzbsJxxQ23zkvXfdc7jWt08PRWA9yMae1i4xu2ofugn/E/xrMnZZRwB/fzHJ8R4XyCHwqux8Y5\n",
"GOO2/Px8//D8/GVDe5Ss2H2HbXd9r2h9/9mLS8rLKyORsGNrrLB+EXbhF9mWyPXnPazWl7Bb+zIh\n",
"J+wAXBc/53y2aik5et7QMZ43eprnjZrfgV7P/x97DVrMw5zFp1zOfRzAuTzLaUSIfScYTlA8xLot\n",
"ja6Akz+DMdPgvXG1xzm0lDzTyXI02aSx5zo/P7/qx3v3/+9lh/WbfdlhfUsP7d+lQ04rnWx89dzn\n",
"9wk7hjC4mreLYq0vA38+af/dxz1M+x36XVn04kPDGz6y+foeP/atstVFdy95YuqHS56Y+mEY0/YC\n",
"3HvTdQem676TupCcMa1RoitH53Ny20u4i0v5kLl05DRO4gPOJbg4XKylIb7FIdZt6fxCWL5V0WCM\n",
"cU9+fv7mUw/I/2CPHb/pvG+vTnvPXly87f++3VTe8JHucuEX2ZbI5ec97NaXbB//YQVEyFzobx1G\n",
"jrEuSnDWIJhOL0q5grb8ktP4F2cwgiF8ySME7+1Y8RBrabijCsrXwOhcyPsaylcmM7OSncvs4EKO\n",
"JtDccz2kX48NQ/r1eHvX7Vf0+mhF6ZDXFqzNWb2xolWMj8j0WICWMiOPa2MgWsrzbsIR2hgIY1qv\n",
"vuPg0UG7cDHXsIWTeYK/cBF7cxEruJfq8Q3x07EuKofiL2DVDdbSYIxJ1kG79Fm16/Yl3+y2Q4eB\n",
"84o2DJ6xcG3F91siWXchuubK9l9kWypXn3eXW18ywcZAhMyF/tZh5DiCsu7PcCpv81dW0IfBXMyV\n",
"3MsKto3uERvf8GvgdeDDNfD5Kb4/Y/+mFg92LrODCzmaQCrPdX5+fqRg6E6LLz64z6zLDuu39sid\n",
"87dtyeMjXB0L4Gre4F7u8eMQCv86+cuwxiGEycZAGJOMoKPjkV+zzV1PkLv3XdzO2QxkE1NIPKOS\n",
"jW8wxqRWfn7+lpP2z/9k717fLtyzZ8d93ios6fLJ1xvLwo7LGBfFWl/sAoKpZwVEyFzob532HD0v\n",
"BzgRmFhKTs+pDGv7KDflbOF14Di27qoUu3J0h6Jkxzckw85ldnAhRxNI57ke2GuHTQN77fDOkO1X\n",
"df9o5Ya9ZiwsbrNsXcu5EJ2rX6ZczRss97BjCEPoYyBEZACwm6q+Fl3uGL1GhDHh8by2wJnAeGD9\n",
"n+g643wOvDDCtO7BDm2oOQVr3oJUFgzGGNOQ/Qb1WjNwu7w3dt2+Q/8Plm8YPH1hcWRdeWVl2HEZ\n",
"Y0xzNDgGQkTOAp4Ebosue8BraY7LGS70t055jp7XEc+7AigEzgDGbsPuN/6SU0+PcFD36h2HAzcD\n",
"vwc6vev7z+3l+6+OTlfxYOcyO7iQowlk6lzn5+f7I3bvt/S8Yb1nX3F4369/vOt2HdrkeqGOkHCt\n",
"P3yMq3mD5R52DGEIewzEWGAkMA1AVX0RSVc8xtTN87oD/7cZ7/K36VY2hQEb/033fWHLY9CmFzza\n",
"FibVcbD1QTbGhCs/P79qTH7+FwfvVFK4V4+Ou5durmwb8fmhkPB9/4fbEeLXV9+O+P5W63xqbE94\n",
"nE/Nx5lb1MU7bJ8dt/oRMT6ehvjJ7hj3uDWX644v8frgdmxdxPf9H9b5+D5+dD1+/D5E96nyfT4r\n",
"6t5uz0H5HX7YL0G+wd1uvT7iB09+7W0RP/pUJLiviO9vtX9YvuzVrd0ufTp1qPmcxT2XCZ4zCJ63\n",
"mEhwM9gvUr2hyq9+OcSep7j9kxJ/XKpVdNq2Ta9ObdtV+fixsKuijxeJ4Fffjm2rXlcVPaAxubgg\n",
"mQKiUlU3x4oGEekI5KU1Koe40N+62Tl6Xj/gygo47zm6l09heLsFXNal+voN07sH3ZUARlFzzAME\n",
"g6SLHmxWDEmwc5kdXMjRBMI61/n5+eWnDcv/TxiPHXPF0VNfD/PxU6WkpCT+y7lX6/+tb48cN7OO\n",
"bSSxvinHtIjiAYBjLn+Dup+b2stJ3d5UURVb65VviXgAnoe3uTJ6G8+rqIo06znwPLyKKr9Z95FT\n",
"MG5+RcT3qiJ+DkBVxM/J8TyvMhLxYkVzxPdzPM/zqiK+5/tBD52IH+xX5VevixVUEd/3IpEfjo0V\n",
"r1787fht8RIVI4n2g5qFdkP7x/8AkOPh7XbMHTPqfFKaKZkC4j0RuQPoIiLHE/Q3fzJdARkDwYXg\n",
"DqDTtddSNOgIcrd/ku1Lb2XENisZ1B2mErQ03FLrfwi6LUEwPWsuMG+NzbBkjDHZKT8/P/6rmP1G\n",
"nGH5YQdgQpPMdSAmAkuBrwgGrD6kqvekMyiXuNDfujE5et7QMUd6e/3vBUpffIklh33E6B4DGJd7\n",
"Ced1XclT7atr3tr/x1oeoHrsw4pCWH52pooHO5fZwYUcTcDlc+1q7q7mDZZ72DGEIZ15N9gCoapV\n",
"wCPRf8akh+d599Pturlsc30fyvN+w1R+ynmUcStBi8OU6I6VdfxvLQ/GGGOMMZmQ8etAiMjhwN3A\n",
"W6p6TaYfv6Vxob91vTl6Xi5wCjDxBMoG38Dv855iIZVcGt0h9hKNFQqxloZjaGkXhnP+XGYJF3I0\n",
"AZfPtau5u5o3WO5hxxCGdOadTBemrYjIhc14zHZEp4Q1bvK8oWM6eKOmX+HtuqKQvM3/ocuffsau\n",
"nQZxDH/nLCprdGOtXTgMJygaYheEu3U9zPsKRq+Bkz+DMdPgPWt5MMYYY4xJk6a2QJxJMLl+o6nq\n",
"LBEZ0cTHzTqe543MpsrY84aOgb7joFN7+KYjtPcgLxdKKqG914Ut7cbTfvA4Pm77KV04h+nMJdIB\n",
"Zgyqntwhfial2rMq/RpYVA7FX8CqG1pSoZBt5zIRy9FkE5fPtau5u5o3WO4u5p7OvOssIESktJ7j\n",
"GpzGVUSOJpixKd5Vqjo/ydhMK1FdNFT1gmE7w+MdYA7BNKu3AHPYnucYR0cu4h5mcCJj2Jf5PBq9\n",
"h0k/7Je4WFi5HEZtgK4bg+s52JWkjTHGGGPCUl8LxCeqenhT71hVZxL0MzH1aK0VceKiYRLBgGeA\n",
"GcAt7MRXXM2V/IwlPM3pHMj5LOEBqgdFQ/XLsPZA6I+L4auzWkux0FrPZWNYjiabuHyuXc3d1bzB\n",
"cg87hjCENQbihXQ9KEleWCV++inP80bacstYDoqHA/4Arx0Dw/YMigeIr0f3oJi/chYfsR8bac/u\n",
"/JexPMwSOkf3qKRa/O3YFKxTgLLFseKhJeVvy7acDcsYY4wxTeSl8crhCYnIBGA00INgJqaEA7Jn\n",
"z57tFxQUtJwrOKaJ57WOfnk1xzaU7gGvdQ+2TKG6NWESBzOGidzOAbzO/UziYS5mA3dR3TIR69p0\n",
"DPFdnKpvx5xf2NoGQ7eWc9kclmP2yJbP2Obk4cq5TsTV3F3NGyx3F3Nvbt71fb4mPYhaRNoAVaoa\n",
"aWogAKp6B3BHc+7DZFZQPBx8Pzw6KFgzJW5rJeDzY6ZxLS/Rh99xF7dyOpdSzptAF2oOhI51U7pn\n",
"E2z8FkZ3hLyvYc1mGOXZOAdjjDHGmJatwQJCRPYF/gAMAHwR+RS4WFUXpTs4F7SOirjvuOriAWJd\n",
"jnKp5DRymEgPPHbkdiai9KCKBzbBzMKaRcE322Z7gdA6zmXzWI4mm7h8rl3N3dW8wXIPO4YwpDPv\n",
"ZFogHgcmqup0ABE5CfgrcHC6gjItTaf28UvtGME5jOYaFrKKXlzLVUzj35t8ni2E8pXZWBwYY4wx\n",
"xphAMheSK4sVDwCq+jw1R72aZmgdgxlLywE6s54J3M5SfsGxrOc8tls3nJ5vvcab03wKT/P95/by\n",
"/VdH1y4eWkeOzedCnpajySYun2tXc3c1b7Dcw44hDOnMO5kCYrqIxDquIyLHArPSFZBpGTxv6BjP\n",
"Gz3N8+TNvqztcQ97bFzCQIbyOaOYwQnsXvgWm37u+zoyUdFgjDHGGGOyUzJdmMYDk0SkPLrcAdgk\n",
"IlcDvqp2rvtQ05CW0i9v6ytID+s1gEk9r+EuTmcW/6Tz94ew22cLqSiGCY0aw9BSckw3F/K0HE02\n",
"cflcu5q7q3mD5R52DGEIdQyEqm6brgc3LUPtWZb24gIm8D2jGMbvuZDd+JLv2GFbGLPS93V02PEa\n",
"Y4wxxpjwJD2Nq0mPMOYmrnVNh3LotT38YdBhvM1Ebmdf5nAvN3ARj1BKfANTx7ymPZ4b8y+7kKfl\n",
"aJpKRI4CJkcXJ6vq6w3s/2dgV6Ac+LOq/iXVMbl8rl3N3dW8wXJ3Mfd05p3MNK4PAycTdF2Ksa5L\n",
"rVTt1gaPCMczomI8h7Ejq7mT8ZzCnmzmmgRHbyzLcLjGmCwgIjnAjcBR0VXTReQNVa3vSqY+cLqq\n",
"FqU9QGOMMY2STAvEEGA3VS1JdzAuSndFnLi14dFB27CFM3iKCdzBFta0vY0H+CenECGX4MrQsQu/\n",
"xZxfCEUPNiUGV6p+F/K0HE0TDQYWqmoZgIgUAoOAhq4nlNYrZbt8rl3N6YETcQAAE4RJREFU3dW8\n",
"wXIPO4YwhH0diN8Dz4vIfKo/zH1VHZeuoEzjbV0oLH8g2BJ/BWnowKll5/JbruY3LGUAV/MbppMH\n",
"/LUMJNpFaThw79cwalU2X/jNGJN6InI0weQb8W4G1onIvdHl9cB21F9AlAJPikgxcIWqLk55sMYY\n",
"Y5okmQLiZuBBYF2aY3FSKvqn1e6WFLhgZ1i2IbauKyVcwu+4lGl571DFGTzFPA6Ku5dffwFj1gTj\n",
"HFJbMLjS99CFPC1H0xBVnQnMjF8nIrsAXYGxBD9EPQSsaeB+xkWP3Qe4Cziprn3jz1ls3vNkluPn\n",
"SG/K8a15ufZzEHY8GVy+HPikBcWTsWV7vdvrvbHH18fz/fq6oIKITAUKgfnx61X1o4buvDlmz57t\n",
"FxQUpLX5uiVI9stKohaG2Bd8zxs9DV47ZuujTinuyYPdruBezuMxXuQE7uRI/sdbZfBY3IDo8wvh\n",
"vXHpamFw5QuZC3lajtkjk5+xIhLrG3kUQQExU1UPTfLY3YCbVFUSbW9OHq6c60Rczd3VvMFydzH3\n",
"5uZd3+drMi0QhwGJPuiPaGpAplryxcPWLQyeN5TgS3+n9rWPGcQiruP9bX/CUP7KL9iHT1hOv+jW\n",
"P6attSERV960LuRpOZqmUNUqEbmR6paJKfHbReQ0YJOqvhK37imgJ0FXpkvSEZfL59rV3F3NGyz3\n",
"sGMIQ6hjIFR1ZLoe3CSr77iaxQMEy2MuBV4NWiQC+/IfJnI7R/AGT9B27RBGl3/LfQOrjzu/EIon\n",
"+/4cG89gjMkYVZ0BzKhj2zMJ1p2R9qCMMcY0SVLXgRCRnkAPgqZnD+gR/0uRabrkmpe2bmEIBNdl\n",
"yKXogaP58dDL8XvvwRfcw5WcT/slpfznUviUoNDITGtDIq40HbqQp+VosonL59rV3F3NGyx3F3MP\n",
"+zoQtwDnAJuB74ABBH1ZrYDImOoWhng5lJbheSdWwrWlfMktDPr8JIYVlzFrU61CwVobjDHGGGNM\n",
"SiTTAnEqwXzd5wEfAxuAK9MZlEuSqwyXPxDMqhR0Y2pDBedxxLd38N4ewCTgtk5EXrjdX1B1e1qj\n",
"bRpXqn4X8rQcTTZx+Vy7mrureYPlHnYMYUhn3jlJ7LMsevGfr4A9VfUzYLd0BWS2FrQkvHtZF46e\n",
"OYU9Fi+nU/kNvL+qM5FzgQPw/X/i+1Vhx2mMMcYYY7JfMgXEShHpRtBt6WIRuTXJ40wS4ucormen\n",
"7Xy+OGAds/aZzH/n70jF8J7+ln3x/dk0NA9vC5BUjlnAhTwtR5NNXD7Xrubuat5guYcdQxjSmXcy\n",
"XZjGqWopgIicBRQAJzb1AUXkEWBXgiLkXFVd0tT7ynqe14egu9g5wPPA4fj+glBjMsYYY4wxTktm\n",
"GtfSuNvzqXVBucZS1YsARORI4Brg4ubcX2uXsH+a5+0GjCco1P4E7IXvr8hsZKnjSt9DF/K0HE02\n",
"cflcu5q7q3mD5R52DGEIewzED0QkqWlfk1QKVKTw/lo/zzsAz/sn8BawFBiE71/VmosHY4wxxhiT\n",
"XeosIETk0lrLjwFfi8jnIjKkoTsWkaNFZGatf3vF7fJL4OEmR54ltvG8kXjeUXjeLOBZguJhIL5/\n",
"M75fHHJ4KeFK30MX8rQcTTZx+Vy7mrureYPlHnYMYQhrDMTpwIPww9iHTsCOwBDgXuDH9d2xqs4E\n",
"ZibaJiLHAwtU9csmxJwdPC8XOHEN3AJUAXcCT+L7W8INzBhjjDHGmLrV14UpN+72FcA1qhpR1S+A\n",
"Dk19QBHZDxihqvc1tG985eR53sisWPa8dnjeed/D0hK4uStMAPb0YJkHh4YeXxqWfd9/syXFk65l\n",
"4rSEeNKxHOtP2VLiSceyi69XV7naLxrczd3VvMFyDzuGMKQzb6+uWUBF5G/AMiAf6KyqZ8Vt+0hV\n",
"92vKA4rIEmA5EAE+U9VxifabPXu2X1BQ4DXlMVokz+sEXEAwq9JnwO3AnNYwDasxJvtky2dstuRh\n",
"jDEtTX2fr/V1YbqIYJak7whmBAJARDoAdzU1GFUd2NRjWyXP2x64lGC2qdnA8fj+x9Wbq3/VzVYu\n",
"5Ahu5Gk5mmzi8rl2NXdX8wbL3cXc05l3nQWEqn4PTEmwfhPwVDqCySqe1w+4CjgLeAY4GN9fHG5Q\n",
"xhhjjDHGNI9dUTrVPG8PPO8vwMdAObAHvn9hXcWDCxWxCzmCG3lajiabuHyuXc3d1bzBcg87hjC0\n",
"mOtAmHp43kF43gsE3ZQWADvj+xPw/a9DjswYY4wxxpiUsQKiuTwvH897E/gHMAMYgO/fiu+vS+7w\n",
"7J8NxYUcwY08LUeTTVw+167m7mreYLmHHUMY0pl3Kq8s7ap1wD3Aq/h+ZdjBGGOMMcYYk05WQDRX\n",
"MA3ri804/M3UBdMyuZAjuJGn5Wiyicvn2tXcXc0bLPewYwiDjYEwxhhjjDHGtAhWQITM83pP8LzR\n",
"0zxP3gz+Hzom7JhSzZW+hy7kaTmabOLyuXY1d1fzBss97BjCYGMgslRQLIy6FP7Uu3rtBTt73lB8\n",
"//NXw4vMGGOMMcaYxKwFIlR9x9UsHgAeHQT9Lg0nnvRwpe+hC3lajiabuHyuXc3d1bzBcg87hjDY\n",
"GIis1al94vUd8zIbhzHGGGOMMcmxAqIZPG/omOaNXygtT7x+Y1nzo2s5XOl76EKelqPJJi6fa1dz\n",
"dzVvsNzDjiEMNgaiBQqKhYPvD7ocxTR2/MLyB+DcoTW7MZ1fCEUPpjZaY4wxxhhjUsMKiCbrO65m\n",
"8QDB8phLgaQKCN///FXPG/qr4JiOeUHLQ9GD2TaA2pW+hy7kaTmabOLyuXY1d1fzBss97BjCkM68\n",
"rYBostSMX4gWC1lVMBhjjDHGmOxlYyCaLDXjF1zol+dCjuBGnpajySYun2tXc3c1b7Dcw44hDOnM\n",
"2wqIJlv+AFywuOY6G79gjDHGGGOym3VhaqLo+AWaO37BhX55LuQIbuRpOZps4vK5djV3V/MGyz3s\n",
"GMJgYyBaKBu/YIwxxhhjXJPxAkJEpgKHABHgV6q6JNMxtCSe543M9srYhRzBjTwtR9MUInI4cDfw\n",
"lqpek8T+RwGTo4uTVfX1dMTl8rl2NXdX8wbL3cXc05l3xsdAqOokVT2S4I/DhEw/vjHGmIxrB9yW\n",
"zI4ikgPcCIyK/psiIl4aYzPGGNNIYQ6iPgj4X4iP3yK4UBG7kCO4kaflaJpCVWcBxUnuPhhYqKpl\n",
"qloGFAKDGjimSVw+167m7mreYLmHHUMYWuUYCBE5Ghhfa/WVqvqZiMwBugOHp+vxjTHGZFYdn/tX\n",
"qer8RtxNN2CdiNwbXV4PbAcsSkGIxhhjUiBtBYSqzgRm1rFtuIgMA/4KHJuuGFoDF/rluZAjuJGn\n",
"5WjqU9/nfiOsBboCYwEPeAhY08z7TMjlc+1q7q7mDZa7i7mnM2/P9/103G+DRKQf8KiqHpNo++zZ\n",
"s8MJzBhjHFFQUJCxsQUiMhI4tqFB1CKSC8wBjiIoIGaq6qF17W9/K4wxJn3q+juR8QJCRJ4m6L5U\n",
"AYxTVWuWNsaYLCYiE4DRQA+CmZgujNt2GrBJVV+JWzcKuCG6eGO0ZcMYY0wLEVoLhDHGGGOMMab1\n",
"CXMWJmOMMcYYY0wrYwWEMcYYY4wxJmlWQBhjjDHGGGOSlrZpXFNBRKYChwAR4FequiTkkNJCRB4B\n",
"diUo6M7NxjxF5HDgboIBlPXOwtLaiMhRBFdWB5isqq+HGU86ZPP5i3HhfQjufK42xIX3bSKuvM7r\n",
"IiLtgIXAnar6u7DjyRQR6QP8jeB73weqemXIIWWEiPwCuASoBCap6hshh5Q2if5Op/NzrkW3QKjq\n",
"JFU9kiD5CWHHky6qepGqHgHcCGTllzOgHXBb2EGkmojkEJy3UdF/U0QkY1NjZlBWnr94jrwPnflc\n",
"rY9D79utuPI6r8dFwEeAazPI/Aa4XlUPd6V4iLqa4AeT0cCtIceSbjX+Tqf7c65FFxBxDgL+F3YQ\n",
"GVBKML1t1lHVWUBx2HGkwWBgoaqWqWoZUAgMCjmmlMvi85dI1r4Pa3HlczURJ963DXDldf4DEekA\n",
"HA38i+AaI06IXltlZ1V9J+xYQvBfYARwHPBeyLGkVYK/02n9nGsRXZhE5GhgfK3VV6rqZyIyh+C6\n",
"EYdnPrLUqiPPq1R1fvT2L4H7MxtVaiWRY7bpBqwTkXujy+uB7QC7vknr1erfhw3Jps/VJrL3rQOv\n",
"8wTGAb8Fdgw7kAzbHmgvIi8AnYEHVfX5kGPKlBnA5UBbwJkua1Fp/ZxrEQVE9CJBCS8UpKrDRWQY\n",
"8Ffg2IwGlmL15SkixwMLVPXLzEaVWvXlmKXWAl2BsQS/aD0ErAk1ItNk2fI+bEg2fa42kdPvW1de\n",
"5/FEpAtwmKreLiLnhB1Phq0l+PJ4CpAL/FtEpkV/lc5aIjIQOE5VT4guzxGRWdmed5y0fs61li5M\n",
"39BCip10EJH9gBGqel/YsaRZNjYZFwK7xC0PVtXFYQWTZtl4/n7g0PswJqs/Vxvg0vu2Bgdf5zGH\n",
"EvwK/w+CcRDnisjuIceUEaq6BVgO9FDVCmBzyCFlSi7Rz7ho3/88sn/sS/zf6bR+zrXoK1GLyNME\n",
"zewVwDhVzcrmZRFZQvDmjgCfqeq4kENKORGZQDCIqQfBDAEXhhxSyojIKOCG6OKN0VaYrJLN5y/G\n",
"hfchuPO52hAX3reJuPI6r4+InA1sq6oPhR1LpohIP+ARoAugqupE9zURuQ44jOAH86dU9c/hRpQ+\n",
"if5Op/NzrkUXEMYYY4wxxpiWpbV0YTLGGGOMMca0AFZAGGOMMcYYY5JmBYQxxhhjjDEmaVZAGGOM\n",
"McYYY5JmBYQxxhhjjDEmaVZAGGOMMcYYY5JmBYQxxhhjjDEmaa5ehdQkQUROBS6LLh4AfAxUAq+o\n",
"6u0iMgUoVdW7QwoxIRG5HPh9XZerF5HJBBeUWZCCx8oHXgL6Ag805rkQkcHA40AHgot6/UpVP2tu\n",
"TEk87t5AL1V9rY7tuwA/V9XJceuanKcxxhhjsosVEKZOqvos8CyAiCwFjlXV4rhdWupVCC8D/gYk\n",
"LCBU9cZUPZCqlgCHRYuSxvo9cJeqvigiw4A/AfunKrZ67AvsByQsIFR1ITC51rrm5GmMMcaYLGIF\n",
"hGmuPiLyJLALsFBVfxbbICJnAhcTFBrvq+qVcdsKgJui29YDF6tqUXRbf+Bl4DngGOB7VT0yui0X\n",
"uB04iOD1+5Cq/i26rT0wi+Ay7i+LSCXwM1VdHt0+FvgpsCdQoKofxcXTAbgVGAZUAZ+p6tjotk7A\n",
"A0BvYCfgWVW9vjlPmohsDwxQ1RcBVPV9EYmIyC6qurB2646IvAlcFYtZRG6MPgc7AKuAU1S1PLpt\n",
"I3AlcDKwM3C2qr4T3XYJMA7oKCL7ALNiBVX0+ZsJdAGWqerxjchnP+AuIBcoBi5Q1TXRbQMIiqU8\n",
"YFvgZlV9vglPmzHGGGNaABsDYZrDA/YGLiTo4nSQiAwEEJE9gPOBEap6GNBGRM6KbusO/BE4Lbrt\n",
"UeDvte57EMGX+ANjxUPUBUBEVQ8HRgJjo19QUdXy6P19Q9BacniseIhufyh63Mds3XpyF7BRVQ+J\n",
"Hjc27rhSgi/vo4B9gHNEpGeTnrFq/YAltdZ9FV1Pgvj8Wut+q6rHqOq+wBbgpLht7YBvVfXHwC0E\n",
"RVwsl98RFEr/jOZ5Y9y28ujzc2ljEhGRtgRdsX6uqiOAJ4A74na5FHgt+ng/suLBGGOMad2sBcI0\n",
"hw+8HP2CjYgsA7pGtxUQfBmeKSIQ9POPdX86GJirqqsAVPUFEfmtiGyrqt9H91mkqs8keMxRQP9o\n",
"lx8IftXeDVjazFxOBgbUs71SRI4D+gObCVo5vm7mYyaS7HuyRERGErT8bAvEFzTlqvpC9PZXVJ+T\n",
"GC/6ry71bUtkN4KxEU9Gz3UOUB63/Rng4WjL0vOq+mYj798YY4wxLYgVEKa56vqyuQV4Ib7bUhyf\n",
"rVu/PJIbU7EFmKyqLyUfYtISvh9EZC+CMRUPE7RefEfjv2TXVkRQjMTrH11fLxHZFngL+BfwDrCo\n",
"kfGkeuxKJfCVqh6RaKOqvisiPwIOBS4XkZNVdVyKYzDGGGNMhlgXJpMu04DTRGTn2AoRiX3JfRc4\n",
"VET6RtefRjB+YlMS9/sCMF5EOta6z3jlwI71bE/keeDm2P61jisgmHnqEWADQUtFswoIVf0OWCoi\n",
"x0Yf70Cgk6r+N7pLCcH4BkRkR2Bg3OG7AhWqejPwEcGg6MbEUx5336n4DFgAtBORH7pRxT9/IpKj\n",
"qhFVfRv4DcHYDWOMMca0UlZAmGTV9at1wvWqupRgDMTfRWSuiPwbOCS6bS3wS+Dp6PpzgF8keb//\n",
"IPiy/6aIvA3MiRUTcR4GXhSRWcB5DSUWdTXB++E9EZlDMCNSzFNAgYi8SzA4eQ5BF6baLhGROSLS\n",
"JsnHvAiYICIfAbOBM+O2PQMMF5FHCGaV+jZu2yfAMhH5lGDsyJtEC6Yov9bt2s/lLGCX6HP/SnQA\n",
"OQ0cE69GnqpaBfwEuEBE3hGRucD/xe3/s+j6t4E7gUvquW9jjDHGtHCe77fUmTiNcYeI3AQcBtyj\n",
"qi+HHY8xxhhjTF2sgDDGGGOMMcYkzbowGWOMMcYYY5JmBYQxxhhjjDEmaVZAGGOMMcYYY5JmBYQx\n",
"xhhjjDEmaVZAGGOMMcYYY5JmBYQxxhhjjDEmaf8PX71kPHfPORMAAAAASUVORK5CYII=\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x107fc4bd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mod = sm.tsa.SARIMAX(lgdp, order=(2,1,0), seasonal_order=(3,1,0,3))\n",
"res = mod.fit()\n",
"print res.summary()\n",
"\n",
"fig = res.plot_diagnostics(figsize=(11,6))\n",
"fig.tight_layout()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment