pyFTS/pyFTS/notebooks/HighOrderFTS.ipynb
2018-02-27 18:30:20 -03:00

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Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# High Order Fuzzy Time Series \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Common Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
" from pandas.core import datetools\n",
"/usr/lib/python3/dist-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"import matplotlib.pylab as plt\n",
"from pyFTS.benchmarks import benchmarks as bchmk\n",
"from pyFTS.models import hofts\n",
"\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data Loading"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pyFTS.data import Enrollments\n",
"\n",
"enrollments = Enrollments.get_data()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on original data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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K4e7duxAEQROgXq+3q8lItVoNLpfr2DQ8NSMRxGFIdBJEHzDKOL3XixibG64Xl9VqFRaL\nRbMg8vl8J1oQ2Wy2rhqJ+sWois5+PWee5vCD5jhxKwgC/H4//H4/FhcXUa/XkU6nsb6+jkqlgkAg\ngEgkAlEU264xbjQasFqth3xBqRmJII6HRCdBtMmwzBJvtSBi4rLVgigcDmNubg4ul6vjSA/vusZR\nFJ3DTKeWSd3SbkTV4XBgcnISk5OTaDQayOVySKfTWFtbg8vl0iYjOZ3OY4+hKMohgXpSM5IgCHA4\nHNSMRIw0JDoJogW9uGyNWm5sbGB6elqzfxlkl/hp6C2I9NHLVguiycnJEy2IOuW07vVBM6qNRMNu\nmcQz0nkSFosFoVAIoVAIAFAul5FKpXD//n0oiqJ5gvr9/qbncJTo1HOUMb2+GYk1IlEzEjFKkOgk\nRpZuUuK5XA4TExN9E3Dt0GpBVC6X8cUXXwBotiCKRCLwer0dWxB1yiiLTqI7jBLM/YioejwezM3N\nYW5uDrIsI5PJYGtrC4VCAX6/H5FIpGNPUOBwFFRRFEiSpNk80Xx4YhQg0UmcafqdErdarVAUZSB7\nrdfrh6by1Gq1QxZEe3t7eP/997ldmHibs4+q6Bz2SKcR0TxFUU5MiXeKzWZDLBZDLBaDqqrI5/Oa\nMX2lUsHOzg7Gx8fh8Xg6Oq7emJ6diyqViva43hOUoqDEWYJEJ3EmOCkl3k/j9F5F51EWRKVSCbIs\nw+FwNFkQ+Xy+Iy2Injx5wlWAdDuRqJ/r80yvDzuj2EjUDwRBQCAQ0CyZbt++DZvNhidPnqBarSIY\nDCIcDkMUxa48QU9qRqL58MRZgUQnMVQY1SV+HFarFbIsn/p9zIJILy7L5TJUVW2qtwyFQvB6vR2N\nCLRarYZFjo5i1NPrZ6Gmc5gnEp22jpEettPT05idnYWiKMjlckgmk3jy5Ak8Ho9mydRpKc5RzUgb\nGxuw2+2IRCJkyUQMNSQ6CdNxXEp8d3cX4XD40EXFyC7x1kjnSRZEHo9Hmxl9kgVRp/AWfZReJzrF\nSJ9OI4WY3hOUiUxVVbUhCvfu3YOqqlozks/n69gpQhAE1Ot1LetRr9dRq9W0YRHUjEQMEyQ6CW50\nmhLf3NyEKIodRQX7tU828jGfzyOXy2FjY0OzINJHLbuxIOqUQdaVtsMop9d5Msw1nUam1wfdSHca\ngiBoN5vz8/OQJEmrAy0Wi5onaDAYbHuvrFP+qGYkWZZRqVSoGYkYCkh0EgOnm5T4UZFLm802ULHF\nPPVam3kajQacTid8Ph+sVit8Ph8WFxcN7WDXY4ZIpyRJ3NYH+KW4ie44q5HOdrDb7ZiYmMDExAQa\njQby+TxSqRTW19fhcDi0CKnb7T72GMd5gurnw6uqimq1qn2NRUGZMT1BmAESnURfOColfpq47DQl\nbrPZ2qqnPA1FUQ6lxJmBM7Mg8nq9R1oQPX/+HJIkcROcwMuaTl7wTq/zvICST2d3nIVGon5gsVgg\niiJEUQQAVCoVpNNpPHz4EJIkIRQKIRwOIxAI9OwJKkmSdnNIzUiEWSDRSXSEUV3iR9Gp6DzNgsjr\n9SIQCGBqagput7uti5XVatWiCbywWCwjnV4HwH39YYQ1t+VyOdhsNgSDQUObbsw0kcgsuN1uzMzM\nYGZmBrIsI5vNYmdnBw8fPoTP59OioKeJzlaOm4xUrVabLJmoGYkwGhKdxJHoU+KyLGv1i52mxPvJ\nUaJTb0GkF5dHWRB5vV44nc6e9si7nhLgLzp5p/dH+SLZznPXR/LZ+4F5QHq9XrhcLlQqFTx58qTJ\n7HyQtdJnLdI5iDS+zWZDNBpFNBqFqqooFotIpVK4e/cuSqUStre3NU/QbpqRjrNkak3Dj/L7ixg8\nJDpHmHZT4sViEYlEAt///ve5jHsEDk7yiqIglUohn88fa0E0MzMDn883sAuoGUSnGdLrvEXnKNZ0\ntj5nRVE0YakXlxaLpWmYwMzMDNxut/a+rdVqmjgrFApIJpN4+vQpHA4HIpHIqTPHzYyRonOQ6wiC\nAL/fD7/fj8XFRfznf/4nnE4nEokEKpUKRFHUPEE7bZw6rhlJVVVYrVZqRiIGConOEaDXlLjT6YSi\nKIacgGRZPpQSZxdSAHA4HAiFQhgfH4fX6zU8lWYG0Tnqoo+3ObzRa7MxqOl0GoVCAfv7+6hWq02T\nqrpxThAEAWNjYxgbG8PS0hIqlUrTzPFwOIxoNAqv1zs04sPIyUdGdsmrqoqpqSlMT0+j0Wggl8sh\nnU5jbW0NLpcLkUgE4XC445uF45qRHj58iNdff52akYi+Q6LzDNGvLvFWbDZbX7uV9RZE+qk89Xr9\nRAui7e1tVCoVTExM9G0vnWIG0cl7D6MuegeF3vOVfbAaZJ/Ph0ajAbfbjddee63nMpGjcLvdmJ2d\nxezsrGbzs7GxgXK5DFEUEYlEOp62YzRnJdLZiv48bbFYEAqFEAqFAADlcrnpZoF5gvr9/q7S8MBB\ndksQBEiShHq9rkVHqRmJ6BUSnUOGEV3irXSbzmXF663iks1HZuJycnISXq/31I7wfnWv94IZ9sBb\n9PFef9hFpyRJTcKyWCxqN1w+nw9erxfRaBQLCwtN4nJnZwflchkul2vge2y1+WHTdh4/fgyfz6fV\ngdrt9oHvpVOMEENGRzpPwuPxYG5uDnNzc5BlGZlMBltbWygUChgbG0M4HO6oZpcJampGIgYBiU6T\nwrNLvFNOsiByu93ahfQoC6JOMIPg4x1lNMMeeIs+3uu3C3NP0Ndc1ut12O127T0Ri8UQj8e1aTMn\nwes56yNr+gaXZ8+ewWq1anWgJ/lMnjXMYEJ/FDabDbFYDLFYDKqqIp/Pa8b07G8VDofh8XiOPYYs\ny8d6gp40H57VglIUlDgJEp2cOSklrqoqvv32W7z99tsA+IvLer1+SFz2akHUCSQ6D+Btzk6Rzpew\ni69eWBaLRc3LlUXzJyYm4PP5evZ35X0xb21wqVarSKVSms9kOBzuKrU7bCiKYqjdVDcIgoBAIIBA\nIIB4PI5qtYp0Oo0nT56gWq0iGAwiEokgEAg0PRdFUU6Nih4XBWXNSCwKSs1IRCskOg2i03pLdldZ\nLBYNrR1iheStzTylUglfffXViem/QWMG0cnbGJ3tgdLrxv4NWB3y/v4+isUivv32WxSLRc2ai409\nbLdUpNs99It+vWddLleTz2Qmk8GzZ89QLBa1OtBgMNiXtcyEkZHOfqXyXS4XpqenMT09DUVRkMvl\nsLe3h8ePH8Pj8WieoLIsd+T+0dqMBBw4JNRqNQBoSsObuR6YMAYSnX3mpKilHt5Ry0ajgXK53CQu\nWy2IvF4vZmZm4PV6cffuXbz11luG1JMdhxlEpxngHW3lHWkc5PpMXLbWXLI6ZHaTNT09Da/Xa8qa\nRl7oU7uNRgP7+/tIpVJYW1tDtVrF9vY2IpHImfidGRnpHET9qNVq1USmqqoolUpIpVK4d++e5slc\nKBTg8/k6bkZixwdeTkZqbUYiS6bRhURnH2EXLP0FsVdxyYzAuz3pHGVBxArB2chHvXn6cSdSu90O\nSZK4ik6r1UqiE/wjjbzX74fo1Ef09alxRVHgcrm0yOXs7Cy8Xq8W+SkWi1hbW9PGGBrJMI3BtFgs\nCAaDCAaDaDQa+PLLL1Gr1XD37l0IgqDVgZ5UW2hmjGwkGvRagiBor/eFhQXs7Oxgb28PT58+RalU\nQiAQ0CLWvXqCsjQ8cPAaoWak0YNEZx8ZRPTS4XCgXq+fWKSvtyDSi8ujLIhmZ2ebjKLbxQxRRkrN\nHMA70sm7xKCTMZxsYlWruGT2Q+y9MTc31yQuTzvmMMNj/zabDQsLC1hYWECtVkM6ncbjx49Rr9c1\ni5+xsbGezptGPi8jLZN4dMqLooi5uTktYp1Op7G+vg6Hw6HV7XYagDipGWlrawvz8/PUjDQCkOg0\nOSzC6Ha7oaoqyuXyqRZE/WpaOGofxAE8o05miDTyXr9VYLD3hl5YlkolqKraJC57dVDgeSEcpkin\nnta5606nE1NTU5iamoKiKMhkMnjx4gUePHiAsbExzY6p07+RkUKw0WgYViZgtOjU13TqI9YAUKlU\nkE6n8eDBA0iShFAohHA4jEAg0PFrUx8F3d3dxezs7JFRUErDny1IdPaZfqT+mAUR+/juu++0yJbe\ngigcDrcdnekVEp0vYZFGI37vRzHKs9cbjYZWc7m2tqYJTODle6OdchHCOE6aU261WpvmjbM60I2N\nDTidTi0N384NtNHRR6NGhfIQncdl1txud1PjWDabxfb2Nh4+fNi1fyu7mdJHQIHDzUhsOhK9p4cb\nEp19phPR2WpBxOot9bOTPR4PxsbGMDc3x/XN1u+pRL1g9DSQVniLTt6z141oJNI3urGPcrmsrc+a\nVsbHx+HxeEbiQjTMkc529i0IAkRR1Opl2aSde/fuQVVVbSynx+M58nhnNeVttOhs99xms9mabhiY\nf+vW1hYEQdDS8Mf9vRit3fJHNSPJsqw1I1ksFpoPP8SQ6Owz7IKst5DQWxAxkSnLcpNJ9HEWRFtb\nW4Z2Sh6H3W5HtVrlugfg4ETH+/fBu6bSDKKzXzQajUOjH1mKjd14+f1+TExMaOJyZ2cHpVKJ6zhU\non26FYP6STv1eh3pdBqJRAKVSuVIj0mj0+tGrdWphRGP9Vr9W1ndLvt7iaKIcDiMYDB46Pd22nr6\nWlDmBFOpVLTH9Wl43tdJ4nRIdPYZVVWRSCRQKpU0CyKn06mJy06tVswi9sySXmcNTTxtV5jw5QXv\n9Ho36KdWsRswduFoHSxwWmSEp2UTz7XPeqTzJBwOByYnJzE5OQlFUZDNZrG7u4tHjx7B7/drjS1n\nNdJptOjs9bnp63bZGFVmn+VyubTJSE6nsyORS5ORhh8SnX3GarXC5/NhfHy8LzVlrHudN2YTnTzh\nbd3Eu5HoJBRFOdQpXqlUmkpGRFHEzMxMVy4KAH+fUKIz+h0V1I/eVFUVhUIByWQSiUQCiqLg+fPn\niEQiA625PKv1o2y9forc1jGq5XIZ6XQa9+/fh6IoWv1oNzcnJ1ky0Xx4c0KicwDEYrG+nZBI7Jlv\nH7zT67wtiwBoTR+FQkGLYFarVW0kKrPompubg8vl6usJf1RFZ2sXeC/HMfICPMj1BEHA2NiY1vW+\ntbWFRqOhCRpWV9ipyflpnOWazkGm8/WZjbm5OUiShI2NDWSzWXz55ZcYGxtDOBxGKBTqKsWv/xu3\nRkFZIxI1I/GFRGef6ffJlSKdzZDoNBZJkg7VXNZqNZTLZTx79gw+nw/hcBjz8/OGjUQdVdE5rBgl\nchuNBhwOB2ZnZzE7OwtJkpBOp/H06VOUy2VtLKcoij2LjrPatGT0ena7HV6vF263G9PT08jn80il\nUtjc3NQi2uFwuKshAq1RUEVRIMsyKpUKFEWB3W6Hx+OhZiSDIdFpcswi9switEh0DgZJkg6NfmTD\nBZgNkb7Z7Te/+Q3efvttLnsdVdE5rDWdRgm01nXsdjsmJiYwMTHRVFf45MkTeDweRKPRju19GGc5\n0mn060ySJO2GNRAIIBAIAACq1WrTEAF206BvHmuX1vnwOzs7UBQF09PTWhreZrPRfHgDINHZZ/r9\nZjXLRcYs+yDR2Rv1ev1QzWW9Xm9yUojFYojH43A4HKb5u7cyio1E/eSspNdb1zlOMLTWFTJ7n2fP\nnjXViJ40+U3PWY50Go0sy/D5fIced7lcmJ6exvT0tNY8tre3h0ePHmk+1eFwuOMhKIIgQJZlOJ1O\nWK3WI5uR9Gl4s54DhxUSnQNiWKMSZsdms2mGwaO8h5NgJ1G9sCwWi5AkCQ6Ho2+Tq3i9xkc1EjGs\n5xQjI53t+oHq7X2q1SpSqRQePnwISZK0OlC/33/s8fpVX9sOoyA6T6vfbG0eK5VKSKVS+OabbwBA\n+5t5vd62XgOSJGlC97hmpGq1Ss1IA4BEZ5/p59x1BrPI4X3iYeMPeZvUswk0vDBLpLPRaGgDBvQN\nPbIsw+FwaGnxyclJ+Hy+vtpMtfrRGs1ZiDaOCka9Tro9R7pcrqYpO5lMBs+ePUOxWNRSukf5SxpF\nPyyM2oXH+V2SpI6ahgRB0M5tCwsLqNfryGQy2NjYQLlcRiAQ0DxBj/u9SZJ05PnwOEumWq2mDaVg\nApSioN1BonMIYHWdvEUn24eR9h2tjGJ6XVVVbfSjPnr5m9/8RvOA9fl8HXvA9gLPDnqea/O+yPRj\nfaN/d0am13tdh026isViaDSWUJV0AAAgAElEQVQa2ljOtbU1uN1uLdpmJI1Gw7Bzv9FG9GzNXs5Z\nDoejqXZ3f38f6XQa6+vrcDgcWhTU5XJ1vOZxzUiqqjZ5glIzUvuQ6BwA/a77Yh3s+jcND5jgI9E5\nGNGpn16l/2g0GnC5XJq4nJ2dRalUwvLyMjeTfBb15nUjxDPSydMcfhjh1UjUKxaLBcFgEMFgsCml\ne/fuXZTLZWxubmpjHgeJkRkFXqKzX2vq/2YAUKlUkEql8ODBA0iShFAohEgkotWxd0JrMxI7X7Ov\ntUZBiaMh0TkA+i06zdLBboZ9mEF09jqRiI1xa41cNhoNuN1ueL1e+P1+hEIheL3eI0/IvEdh8jSo\nPyvNPN0wjNEUIy2TBukvqU/p/sd//AdsNpvWWc3EzNjY2FD+jRg8yrgGWR/rdrs1Cy1ZlpHNZvHi\nxQsUCgU8fPgQkUikKweDozxBJUnSro/UjHQ8JDoHQL/r3cir8yVmEJ3tRjrZ9A29sCyVSlBVVROX\nPp9PK4Dv5GTPu66Ud4p7FEXnsD7nYY10nrSO1WrVxjwqioJMJoMXL17gwYMHmlF9KBTiXhLVKTwi\nnUZhs9kQjUYRjUZRKBQwOzuLdDqNZ8+ewWKxNHmC9msyEjUjHeZsvrrOGGYQe2bZh1lEp34PjUZD\nE5esmYc1O7ndbi1CEovF+jIaFeA/CpOl13mtPawCrFeG8YJlZKSTh7i1Wq2amFFVFfl8HslkEhsb\nG3A6nVodaDcuEUa/zo0WnTzex+z1yCZZLS4uolarIZ1OI5FIoFKpQBRFrRmpW0/Q4+bD69Pww3ZT\n0g9IdA6Afp/4HA4HCoVCX4/ZDWYQfDwjbExc7u/vo1gs4quvvkK5XAYAeDweTVyOj4/D4/EM9AJI\n6fXRi7IOq9A+q5HOo2g1OC+Xy0ilUrh37x5UVUU4HEY0Gm07mmZ03bSRnfIAn275o0oInE6nFrnW\nDxJgDWTME7SbfobjmpF+9rOf4S//8i/x/e9/vy/Pa1gg0TkEmCHCyPbB267ICBqNxqHRj5VKBQC0\nucGCIOCVV14ZuLg8DmajxQtKr/OBIp3HY5SAURSl7XU8Hg/m5uYwNzeHer3eFE0LBoOnTtjhMQLT\nyEhnr53r3XCcXRKjdZBAuVxGOp3Gt99+i0ajoQnQk3xcj0NfC7q7u4tQKNTTcxlGSHQOAJq/Phwo\nitIkLkulEiqVCgRB0OotA4EApqamDkUm9vb2jpyiYRSUXh890dntc9a/zguFguY/GYvFDHGiOIui\nsxsh6HA4MDk5icnJSW3Czu7uLh49egS/36/VgepFn9GiU5blgXfj6+nUo9PoNdm1wOv1Ym5uDpIk\nIZPJYGtrC4VCQavfDQaDHT+PZDKJaDTazVMYakh0DgFmEXtmSK8zOrmQybJ8pLi0WCyauBRFETMz\nM3C73UMRTTJDIxGJTnPByj+YsGQRenbhZI4IwWAQhUIB9+/f1yI30WgUXq93YPs6a+n1XtdpnbBT\nKBSQSqXw9OlT2O12RKNRRCIRLqLT6PV4iM5uo6t2ux3j4+MYHx/X6ndTqRQ2NjZgt9u1KGg7wt0M\nNog8INE5APotWswiOs2yDya4Wk9WsiwfGv1YrVZhtVo1cRkKhTA3NweXyzUU4vI4eEc6R1V08q7p\nZOvrXREKhYJWW6yP0E9PTx95E1UqlRAIBDA7OwtJkrTatVqthlAohGg02lXq8LR9DxqzRzqPQ9/U\nEo/HNW/J+/fvo16vw2KxoFAowOfzDfz3yCO9PkyiU4++fndpaQnVahXpdFqz0QoGgwiHwyeWT4wi\nJDoHSL9Otjzr5/SYRXRaLBak02lIkqRdeGu1Gmw2m3bRDYfDmJ+fh9PpHGpxeRy8G4lGVfgZCTOf\nZpHLvb097OzswGazaa4Ifr+/o8a11t+b3W7XUr76EZClUgmiKCIajfZ80RymCKQZ1tF7S+7u7mJn\nZwdPnz5FuVzWxnKKojiQPRgtAvslAM2wpsvlwvT0NKanp7Xyib29PTx+/Bgej0crn3A4HKhUKnC7\n3X3fwzBAonMADGL+uhkwOr2uF5Xsg83B3d7eRjAYRDQaxcLCguHikvccejM0Eo1ipHMQHDXmtFgs\nQlGUJsutQCCA8fFxxGKxntc86r3SOgKSXTRZzWE0Gu3Ke5Iind3DomkLCwtNXdVPnjzRhEw4HO6b\niDJadPKKdA46rd1aPsGmWf3bv/0b/vZv/xbvvvsu/H6/odOmzAKJziGBt8hhexgE9Xr90AWX3Y3q\nPS7j8TgcDgfu37+P6elpiKI4kP20A0vx8xSdPOtrSXR2B3ut6+su2WhZFrmcnZ09chJVoVAw7PVm\nsVi0+jS99+T6+jrcbjei0WjbYuesiU4jz8N6gdvaVV0sFpFKpfD11183iZxeImg8akiNrms0umO+\ndZrV66+/jl/84hf4b//tv+EHP/gBfv/3fx9//Md/jD/8wz8ciegnic4BcVbnr3cLM8htrbmUJAkO\nh0NLi09MTMDn851opGyGhiYmOnnNPrdarVwdDcgy6WRao/SFQkF7rbML0NTUFHw+X9uvIV5REX3t\nGovaJJNJfP3119qUl0gkcmwn/FkTg0YKs+PWEgQBfr8ffr8fi4uLqFarSKVSePjwISRJQjgcRiQS\n6bg212jRyat7ndd5GwCmpqbwwx/+EDabDX/3d3+HL774Ar/61a+QTCbx53/+520f59NPP8WVK1dw\n/fp1XL58GQBw8+ZNiKKI1dVVfPLJJx09ZhQkOgfEoOavm0F0nnTxa00VMnEpy3LTBXdycrKjC64e\ns4jOUY00AqNrmdS6NnNG0EcuWX2xfljA0tJSVxNpzIY+arO4uKg1vXz77bdQVVUToPruXaPE8lmY\n8d5Kuze2LpcLMzMzmJmZaarNZfZYrA70NEFp9I2NUVHHcrWOxHYK6y9SmHIb7w3aSiqVQiwWg91u\nx49+9CP86Ec/6vgY169fx82bN3Ht2jUAwOrqKgDgwoULSCQS2uftPLa8vNzjM2ofEp0D4qzOX2eC\nz2azHVuHxlKFPp8P09PT8Hq9fX2Tm0F02mw2rjWVZJlkrOhkAwNyuRzK5TJWV1dRqVRgtVq113ok\nEhlofbEZ67/0TS/1eh2pVErr3mVWTEaWoRjx+2HnOCPoJvLYWpu7v7/fNF2H1YGa4SaonzWditLA\n81QOay+SWH+RQuJFEokXKaxvp7Cd3gcALE6GcfX/+hH3+fKpVAqvvPJKT8f47LPPcPHiRe3zzz//\nHB9++CEAIB6PY2VlBel0uq3HSHQSh+DVOc46aJmoLJfL+PLLLwEc3F2zC+5xdWiDwGazce+iH2XR\nx3v9QQoL5nWpr7vUe116PB7YbDa88cYbQ2u7Nag9OxwObZSgLMtIp9N4+vQpMpkMBEHA1NQUAoHA\nUP7O9PCq6ewGi8WCYDCIYDCoWW0lk0l88803EARBqwP1eDxcsgfdiM5MvoT17ZROXB4IzKc7adTl\nk8/J770ZB9D/UdWdkkql8P777/d0jEQigZWVFS1FnsvlmiYcpdPpth8zEhKdA2IQ89cHGelUVRWV\nSqUpalkqldBoNJo6aMfGxrCwsMB1fJfNZtPGUvKCt+jkvT7P9Ho/YK93fVqcjXj1eDzw+/0YGxs7\nNI2KiSkeBf9mjHQeh81m00y07969C1EUsbOzg4cPH2JsbEzrhOd98e8GM9R0doN+us7CwgJqtRrS\n6TSePHmCWq0GURShqqqhr7Pjnl+1LuHpTvq34jKFxPMk1rcPxGWu2P25/7234wD42/4lk8meXShY\nLeatW7ewsrLSj20ZAonOIaFfc89bjaVLpRJKpRJUVYXb7dYaeiKRCLxe76ETQqFQ4N7EYYb0Om/R\nN8qRzk5ojdQXCoWm17u+7rJdr0uic0KhEKampqCqKvb395FMJpFIJODxeLROeN4pz3ZpNBpDKTpb\ncTqdWmRaURTs7e1hd3cXX375pTbesRuLrHZpNBpI5cv4H9+sYX07ibXnB6JyfTuFrWRuINeZd99Y\nwNb6k74ft1N6FZ3Xr19HKBTCxYsXEQ6HkUgkIIoiMpkMACCXyyEcDgNA248ZxXC8y4eQQcxfz2az\nbX+/Pk3ImnmYaNVfbGOxGLxeb9sXWzOktkl08hd9ZhlYwNC7I+ijl4qiaGUgfr8f4XD4yJupYWFY\nIp169JEzQRAgiqIWVSsWi0gmk3j27FnT+Ecz1Bseh5E1qkZNCLJarQgEAhBFEW+99ZZmkbWxsQGn\n06ml4bv5u+RLVaxv/7a+8sVBWjzxIoWNnRQqNeOuJfGpKII+N3Y5NxEBByntXsTe+fPnEY8flAqs\nra3h448/xvnz53H79m0AB6n3CxcuAEDbjxkFic4h4biaTr241NddAgdpwn5HcswwlcgMonPUG4l4\nptfr9TpkWcbm5qYmMvVelz6fDzMzM/D5fEMTPWuHfoh8HjcKx9VA6m1/4vE4yuUyUqlUU71hNBo1\nnXehkTWdRs5CZ/WVeossANrf5d69e1BVVWsQ05edSLKCzd2MlgI/EJcH/0/tFw3Z/2m899YiF4um\no1BVtad9LC8va9HOpaUlrRHo9u3bWFlZgSiKHT9mFPx/+2eUfkckbDYbyuUytre3NXHJGhyYuPT7\n/ZiYmBhomtBut3Ovp+Qt+ABz+GTyjnQOen1Zlg9FLuv1etONz+TkJF599VXuFihGMeyRzpPweDyY\nm5vD3NwcarWa5jspy7ImdLxe75HHajQa3OsQB7UWb4HL/i6zs7N4kczgqwcJfPf//n/Y2MkgVaxh\nO1vE89Q+ZMXc5TbvvRXn7tEJQKub7RXmzdmvx4yCROeA6bQoW1EULR3eKi4rlQoqlQoCgcChBgej\noPT6AbwjjbzX76foVBTlkPVWtVpt8rpkE6mYVc0XX3yBubm5vqzfCTw9Qvu1Lg+7qU6Fk9Pp1OZY\ny7KMVCqF9fV1VCoVhEIhRKNRjI2Naee/Yeoo7xSjU/nlav23EcuUlhZn0ctCpWbIXgbBe2/GIctV\n7qKzUChgbGyM6x54QqJzQJw2f52ZSusbeiqVCiwWC7xeL/x+P0RRxMzMDNxuNwRBwBdffKHVcfDC\nbrdzF3y8544DZ0v0dUM34ot5XbbaEVksFk1chkIhzM/PD8zrctjpx+/E6N9rr93QNpsNExMTmJiY\ngKIoyGazePHiBR48eIBAIHBiBHQQ8B5H3A8UpYEXv/W0ZF6W360/x+ZeBnu53htWzcbSdBSxoB8v\nXhS4i85+dK4PMyQ6B4xeXLJ/q9UqrFar1ikeCoUwNzc3FL5/ZqjpNMPviHeKn/fv4CTRe1ydMbNs\n8fl8h26oiNMxU+NWp/Trb6yfMc6Mz5PJJB4/fqx1YIdCoYHW7amqOjSiM1so/TZS+bIz/KCJJ426\nxDd4YCTvv3UQrDHDVD82jWhUIdE5QHK5HB4+fKhFccLhcE9RHNa8wfOEZwbRaQZ4Rzp5w6LNrUbq\neq9L/chTt9s9NBdqM0MC/SV64/NSqYRHjx6hUCjg6dOnPXdcDxM1ScbTnbQ2gUcvMLOFMu/tmYL3\ndKLT7/dz3QuJTmJghEIhvPvuu327UDDBZ9QItqMwQz0lg6dZ9iiJTlVVUavVmhp68vk8KpUKFEWB\n3+/vyn5rGDkLNZ1nEVVV4XA4sLS0hKWlpabJOxaLReuE5x3l6gR9c5SqqtjJ5H8rLJvF5fNkDg16\nbZzIu28uAoApGomSySSi0SjXPfCEROcAGdT8dZ6i0yz+jCy9y8tv0Wq1mkZ895NarXbISF2W5aaR\np3Nzc7BYLHjy5Al+93d/l/eWCeJQytvj8WB+fh7z8/Oo1WpIJpP47rvvoCiKJkB5NGKeRqFc1WyH\nHj/bxdcPEsh8/gXWt431tDxLvDoTQ1Q8iG6aQXSmUin8zu/8Dtc98IRE5xBBqe2XsIgrT9E5zJFO\nSZIO2RFJkgSHw6HZb53kdVmtVodiItFZYpjGYBrNSTegTqcTMzMzmJmZgSRJSKVSSCQSx3bCDxpJ\nVvBsL6M18CSeJ7H22/8ncwVD9jBKsNQ6YA7RSY1ExMAYxFQint6QenhfAJno5BX15d09zjjt78C8\nLvXRy3q9DpvNpqXFJyYm4PP5Oqp9M0vEm+iMs/o3a9en0263Y3JyEpOTk1AUBZlMBs+fP8eDBw8g\niiKi0ShEUTy2RKTd35+qqkjtF5vshtj/N/cypve0PEu8rxOdvHsiABKdJDoHSL9FmVkinSzKx3Oy\nA+/aUjNEnPQlBnp/Vxa9ZC4JLC0ejUaxuLgIh8PR8/55TiTiCc+/O+8bPTPTjZiwWq2IRqOIRqNo\nNBrI5XJIpVJ48uSJ9n5pnT3e6tFZqdWxvp3Wai01cbmdQqFc7dvzI7rn935bz8ng/R5Kp9MkOonB\nMIhIJ+sO5gkTv6MsOnmh97qs1Wr46quvUK1Wm/xdjbDgMkOkl5cIO6vRwmGm1wiWxWJBKBRCKBSC\nqqooFAra7HGb3Y6GzYVctYH1Fyncuf8Y+V+tYv1FCi/S+318FkS/eW12HJGAD4B53re5XA6iKPLe\nBjdIdA4RdrvdFOl1MxjEn3XRqapqk9dloVBAuXxgf8K8Lu12O+LxOERRNFx88U6v97tJbxgYtefb\nCf1Im+YK5SazdNYlvrGdQl0e3vrtUUafWjd6ktRxjPr7mETnABlEpNMM6XUahfmSXk8gqqqiUqk0\n1V2WSiWoqgq3263VXY6Pj8Pj8TRdWPP5PLfJPTytg8ywPtEeRv2N2hWdNUnG5k4aay1m6YkXSfK0\nPIO8ORvWxGa9XufeRNRu7fFZhkSnAfTrzsYsNZ1m2IcZRGcntk3M67LVjkhRFLjd7qa6y3a9Loe9\ng74XeIlO3hcM3ut3ilGNG/p1Go0GdjL5JkEpyQr++9ePsbWXJU/LEeKV8QBWV1fhdDpN4SGczWYR\nDoe57oE3JDoHyGnz1zvFLN3rZhGdtVqN6x6Y6GsVnfV6vcmKqFgsap32zI5obm4OPp+vp3SPGeoq\neTGKkc5hfL6DTCXmS1UtWvnVgzVspfJ4kSliY+ewp+X3l2awuZsZyD4Ic/L63ATOff9tAEC5XMbT\np0+Ry+Vw584dhMNhLl6tqVRqpI3hARKdQwXvOjqGGWpLzRLpzGQyTZ6Xeq9Ln8+Hqakprf6y31Ck\nk/97wUiGsRas1z3XJRmbzNOyJSWe2i+2fZxtavgZOd5762XXusfjQTAYhNfrxcTEBNLptObVGgwG\nEYlEEAgEBh4JHXW7JIBE58A5ixdHm83GvYveZrMZJrhkWUapVGqKXtZqNdRqNVitVoRCIYyPj2Np\nacnQOc8U6Txb76tBweqGC4UC9vf3oSgKYrEYfD7fwEVsO+l1VVWxm8lrVkPMemh9O4Vne1koPb7G\nAz439sh0feR4762lps+ZMbzD4Wjyas3lctjd3cWjR4/g9/sRiUQQCoUG4s5CopNE58Dp98WR+SPy\nrE0xS3q935HORqNxyEi91esyEolgYWEBTqcT9+/fx/T0NDf7CxKdoyc6TxOJrLRDf4PE6ob9fj+8\nXi8kScLTp09RLpe1NKPf7x+IANVHOvUjHtns8PXtgwhmuTa4zMlMNIj9YmVgxyfMhyAIePfNhabH\nJEmC2+1uesxqtSIcDiMcDmtWWalUCk+fPoXdbtdGpvZrCAmJThKdA6ff1i5M8PGcvz7sorPRaGh2\nROziXKlUIAiCZkcUDAYxOzt7otcl7/Q27/V5MoqiU/98FUVpev2ySVN2ux1+v//YMaayLKNer2Nq\nakqbyPPs2TOUSiUEg0HEYrGeRkJKsoLN3YyWBn+0uYMHG8+xu/8rbiMefS5+50qCD6/PTSDo9zY9\ndtoITEEQMDY2hrGxMcTjcVQqFaRSKdy/fx+KoiAcDiMSifSUIUilUnjttde6+tmzAonOIcMMotMM\n9ZTt7EGfVtTbEQEHNT5+vx9jY2OYmprqqqCct+ijSOfZF53Mr5X5tN67dw+1Wg2CIGhNaZFIBIuL\nix2fE1on8uhHQgaDQW0kZOv7QlVV7GULTalwJjI3d3tPh/ebmgkcPwhj0ddzMjodaOJ2uzE7O4vZ\n2VlIkoR0Oq1lCERRRCQSOXFk6lGkUimKdPLewFnnLM5fN0Ok02q1aqJTVVVUq9VDdkTM65JdnI/y\nuuwFI+tKj4K36AX4NbcMW0NNO9RqtabIZbFYbPJrtVgsWFpaQiAQ6Pvzt1gsiEQiiEQiaDQayGaz\nWN/cwsP//iVytQayFRnb2aJWa1mq8nfRaJftDDURjRrvv7106DHW5NkNdrsdExMTmJiYODQy1ePx\nIBKJIBwOn9owSt3rJDoHzlmcv261WrlE2FRVbbIjqlQq+Pd//3coigKXy6WJy3A4DK/XO/DpE7xF\nn8Vi4fpa4D0VaFijvLIsN90g6V0P2DCAoyy1stksvF5vz79v/c9LsoJnexmdp+XLqOVedvibb8a8\nLuxmhv95EO0jCAJ+7/WFQ4/LstyX5qDWkanFYhGpVApff/01rFardvPWWj8KUE0nQKJz4JzFSKcR\n1Ov1Q009eq9Ln88Hh8OB8+fPc5sBb7VauYo+q9WKarXKbX2W3ufR1Mbb5LkdWmuHC4UCKpVKU2Na\nLBZr2/Wg23ICVVWRzBWw9jyJx8928PjZLp7uHNRdbu5lICvDKd7bYTYaxLelbd7bIAzkjfkJiH7P\nkV/r9/VYEASthnpxcRHVahWpVAoPHz6EJElaHShr1CuVSvB6vacf+AxDonPIsNvtqFTOTicmi/ro\n6y5ZQwSLXE5OTuLVV189lLrY3NzkJjgB84i+UV3fLDWdbNqUPjXOyjv0tcPT09Nwu909XfhO+tlS\npXYwO/x5Emsv9g7+fZ5E4kUSxQrfQQq88LqpiWjU0M9bNxqXy4WZmRnMzMxAlmVkMhlsbW3hL/7i\nLzA7OwuLxYJarQaXy8Vtj7wh0TlgBhHp3N/nX6NksViOnMZzHKzbVh+5rNVqsNlsTVGfeDzedkME\nb/so3ul1XmUODJ7DCng1EsmyDFmW8ezZMy16ySLwLDW+sLAwkPIOVVUhKwqeJXNYe94sKtee72En\nk+/remcBSR5Nd4dR5r0jRCePmec2mw2xWAyxWAz/8i//glu3buGv//qv8f777yMej+NP/uRP8Ed/\n9EeIRCIdHffq1av45JNPAAA3b96EKIpYXV3t+DFekOgcMsySXme1pa0X1kajcchIvVKpwGKxaOIy\nHA5jfn4eTqezpxMB62A30pBdD2/RyYQ/L5jo57X2IEUnex3rU+PMs1WSJDQaDUxMTOCVV17p++tP\nVVWk9otYe76HNZ2w/PbJJnb3b57pdHi/2aFJRCOFIAj4vTeP7lwfxFS4dnE4HDh37hxef/11/NM/\n/RO+++47/MM//AN+8YtfdCQCV1ZWcOvWLXzyySdYXV0FAFy4cAGJREL7vJ3HlpeX+/fkOoREp0H0\nq+HCDI1EwIHgyufzyOVymrgsl8tNXpeiKGJmZqbnlOJx8BadvLvXeae3ea7fL9Gpdz5g4pLZaulf\nx3rP1i+++ALz8/M9r12u1pB4kTqIWmr/HgjMfIlf2cZZwe92YpuivyPFWwuTCHgPN/DwFp3AyyYi\nQRDw5ptv4s033+zpeJ9//jk+/PBDAEA8HsfKygrS6XRbj5HoPMMIgtBXwWX03HPmdamvuyyVSqhU\nKqjX6wiFQlrdZTdel73A2y9Ub9vEa33eoneY0uuSJDWJy2KxCFmWm5wPotEovF5v30o2ZEXB1l62\nKQ1+8G+S5oEPmNnxEO5vUBPRKHFUah0wl+jsltXVVVy4cAFXrlwBAORyOYRCIe3r6XS67cd4QqLT\nAPqZCrRarQO50Lc2Q7CPRqMBj8fTVHfp9XqxtraGQCDA1f7BDKKTt+jjGek0a3pdX+LBXs/VahU2\nm02ru5yamoLP5+vLhUhVVaT3i1h70VxjmXiewsZOiuoKOeGjJqKR4/23z67ozGQyfdwNP0h0GoDZ\npqfUarVDHeN6r0ufz4f5+fkTmyF4Cz4z7IG36DRDIxFP0XmUJVFriUcoFOpL/TAAlGt1rL9I4YsH\nW/hy61ZTI89+6ew4SpwVSOyPFhZBwA9fP1zPCZhDdKZSKUxNTXX1syzKqUcURU2I5nI5hMNhAGj7\nMV6Q6DSAQZhot9O1rU8nMnHJTKhZOvGo+cztYIba0lEXnbwbiYxMrzPfViYuk8kkdnd3tchlvyZO\nKUoDW8msFq3UN/K8SOX6+IyIQbNL9ZwjxdvxKYx5j7YikiQJHs/R3p1GkUql8IMf/KCrn00kEkgk\nEshkMshkMlhdXcVPfvIT3L59W/s6E6XtPsYLEp1DiN1ub2qgaZ1w0up16fP5MDExoRmq92sPPD0q\nAf6ik2dNI8Bf9A4ivd5oNJpex8xaS+/bOjMzA5vNhnA43NVIOVVVkcmXXnpa6hp5NrZTqFOEbOjx\nuZ14QTWzI8V7bx7vz9np3PVB0Mvc9YsXLwIArl+/jlzu4OZ3eXkZt2/fxsrKCkRR1JqD2n2MFyQ6\nDaBfEU5FUVAqlSDLMh49eoRarabZuLR6XTocjoE29Zgl0nmWjPI7hXfZRi/pddagpheX+tQ4G2d6\nXGo8mUye+twrNQnr28lDfpaJF0nkiqP7uhkFZmNBfPd0h/c2CAM5rokIMEd6vR8jMC9fvozLly83\nfX7U97TzGC9IdBpAp+JP7xGotyNiXpfswvzKK6/0pVatG1i0lSe8I5284TXznNFupLderzc19bAG\nNbfb3ZQa72SuuF5wbyWzePJst6WRJ4nnyWxPz48YXvye0Z34MopYBAE/fGPh2K/LssxddKZSqa4y\nM2cNEp0GcNyFVFXVpkYIJi6Blx6BgUDg0Pi8J0+ewOPxcB2lZbPZTBHpHGXRyZvW9DqbOqWPXtbr\n9aYa4tnZWXi93p5TXXrR+V9+9v8gvV/s6XjE2YKaiEaLd+LTJ95omCHSKUlS29P2zjIkOg2CGVCz\nDzab2e12a80QExMTbRu54jMAACAASURBVDVCmCG1bYY9mEV09rtJzOywm6VSqYR8Po/t7W1UKhUI\ngtDkd7m4uDiwkywTnflShQQncYit3RTvLRAG8t4xVkmMRqPR97G0nWImBxuekOg0AEEQsLe3h3q9\nDp/P17MBtcPh4F7LyLuJxWx74F2kPij03q3sX3azpCgKPB4P5ufnDR8MwETnxjaJC6IZj8uBZJ5q\ndkeJk+o5zUC5XIbbfXhS0ihyNq+UJmRubq5vU07sdjvyeb52IGaI7Jkh0slGYQ676Gx1QCgUCpq9\nlt/vh9/vx9zcHHw+nxYx2Nzc1OqLjYaJznUSnUQLc7EQHmxSE9GoYLVY8MPXF479uhkijL10rp81\nhvtKOWT0Kw3rcDgMHYVpVswgOnlHWzv1gD3KUL1SqWgOCH6/H7FYDEtLS6faa/H0CSXRSRzHcV6N\nxNnknaXpE6dPybLMPSjQj871swKJTgMY9vnrx8EaSfoVwe0U3j6ZAP/560z4tZ5UW8eaFgoFrY7Y\n4/HA7/cf2aTW6dq86nopvU4ch6zwm9JFGM9J/pyAOZqIKNL5EhKdBtFPT0WHw8G9iQd4GWnsl+H8\nMMI70mmxWDRLIn30UpZlOJ1OLTUeDofh8/n6eoPAU/Sz91PiBYlOopm9bIH3FggDOW7eOsMsopPs\nkg4g0WkQ/RSdvGduM1gHO4lOY0Sn3r+Vicv9/X189dVXCAQC8Pv9mJiYwKuvvmrISXYQE4k6XZsi\nnYQet9OOLfJnHRmsFgvOf2/+xO8xwzSiZDKJV199lesezAKJToMYxPx13pjBNgnga1k0CNGpqqpm\nscXEZalUAgBtWo8oipidncWDBw/w2muvcWnm6WUiUa8IgoBipYYU2SUROubGQ3i4uct7G4RBvBOf\ngveEek7APJHOP/iDP+C6B7NAonOI4S1izWQQz+ukwrrXu0WSpCZxWSwWIcsyXC6X5t96ksWWzWbj\nJvx4p9e3kjkuaxPmJeAlW5pRIh714c6dO4hEIohGo/B4PIe+xwyikxqJXkKi0yD6LQ7NkNo20yhM\nXieVdhuJWGpcLy6r1SpsNpsmLqempuD3+ztKBfHuIOdZ5rG5R6KTaEahJqKR4v/44H2888YCUqkU\nHj9+jHq9jnA4jGg0qo2MliTpSDFqJNRI9BISnQYxCNHJRgzywgzpdd62SVarFbVaTftcVVVUKpWm\n6GW5XNb8LP1+P0KhEObn5+F0Ont+XfAUnTzT6xaLBVspEp1EM3s5KrcYFWxWC85/bwEOhwNTU1OY\nmpqCLMvIZDLY3NxEqVRCMBhEpVJBOBzmutd0Os19D2aBRKdB9Ft0mqGD3W63a7WGvOApOuv1Osrl\nMnK5nNbg02g0mlLj4+PjbY027RaeTWW8LaueUXqd0OFy2PFsL8N7G4RBfP+VWXhczUEXm82GWCyG\nWCyGRqOBbDaLhw8f4sGDBwgEAohGowgGg4aPxDTDGE6zQKJzSKEoo3F7UBTlUGq8VqvBbrdrqfCZ\nmRn4fD7DuyR5N/PwXPt5cp/L2oQ5mRsP4dEzaiIaFd4/ZfSlxWJBOByG2+3GW2+9hXK5jGQyiUQi\nAY/Hg2g0inA4PPBzNm8vabNBotMgBhHp5G0Qf9aEL0uN68UlS437fD74fD5EIhEsLi7C4XBAEARk\ns1lsb29DFMW+7KFTePqE8ha8WykSncRLAj5qIhol2p23zmr+RVGEKIpQVRWlUgnJZBLPnj2D3W7X\nGpEGUa6Wz+cRCAT6ftxhhUTnkGK325tqCXntYVhFJzNUZ+KSpcbdbrc2DnJychIej+fEGwbe0V7e\ndZW87uJL1TqyxQqXtQlzYgbvYsIY7FYrzn1vrq3vbXV50QcRFhcXUalUkEwmce/ePQDQBKjb3Z+b\nGGoiaoZEp8H0c/56ocB38oZZutdPEt+KohyyJGINWExczs7OwufzdVVzw3siEc/1eabXqZ6TaCVF\nTUQjww9enYXb2Z+opNvtxtzcHObm5lCv15FMJvHo0SNIkqR1wnu93q6v2zSNqBkSnQYxiPnrZogy\nmmEPbKZ4uVw+lBq3WCxaU08sFsPS0lJfUyi8RSfP+ec8o6zP9mjqDPESh92KzV1qIhoV3ntrsa3v\nUxSloyZOh8OB6elpTE9PQ5ZlpNNpbGxsoFwuIxgMIhqNIhAIdHQtJ4/OZkh0Gki/56/zrunkYUyv\nqmpTajydTiOfzyOZTMLj8cDn82FsbAzT09Nwu90D3yNv0cm7e53X2pskOgkds9Eg1l7QSNRR4f23\nltr6vl68rG02G8bHxzE+Pg5FUbT6/YcPHzZ1wp8makl0NkOic0hhPp1nGVmWtdQ4+1eSJDidTi01\nPjU1BafTiXfeeYfLHnmLTt4+nbxqOinSSegJeF28t0AYhMNmxe++NtvW9/Zr7rrVakUkEkEkEoGq\nqsjlckilUlhbW4PX60U0GkUoFDpyrVQqhR/84Ac97+GsQKLTQCwWC2RZ7kv0jWeEq5Ve61QbjYaW\nGmfislKpwGq1auJyfHz8yNR4uVzG3t5er0+ha3iOIQX4d5Bzi3TukugkXkKuNKNDJ/WcgxiBKQgC\ngsEggsEgVFVFsVhEMpnE06dP4XA4EI1GEYlEtGsVNRI1Q6JzSOEtdhidjKFUVRW1Wq1JXLJ6TI/H\nA7/fj0Ag0FFqnHf3OG94NxLxYpNMwAkdmTzfIRWEcbRrlQRg4COSBUGA3++H3+9HPB7XvEC/+eYb\n/OM//iMcDgd2d3epkUgHiU4DGcRFul/d8N3CGppa39iyLDc19RQKBciyDJfLpUUvw+EwfD5fT9N6\nRl108ox08qJQriK1TyKDOMButeBZkiLfo0InonMQkc6T8Hg8mJ+fx/z8PCKRCG7evIk7d+7gpz/9\nKf70T/8Uf/Znf4Y33njDNEEjHpDoNJBBzF/vpVC6H9hsNuzv7yOXy2nislqtwmazNfldvvrqqwN5\n84+i6NLDu6aUBxs71DBCvGQi6MOzVJ73NggDcNhtWH6tPX9O4EB0ejyeAe7oeObn5/Gzn/0Mf//3\nf49//dd/xT//8z/jb/7mb1Cr1fCrX/2qrWOsrKwAAG7duoUrV64AAG7evAlRFLG6uopPPvmko8fM\nAInOIcZI0amqKqrV6qHUeLVaRaVSQSQSgSiKmJ2dhcvlGqk7OVbbOKj56icxiqJ7nbqUCR0+F7+b\nbsIYPC4HZqJB/M7SNFyO9oMXRkc6jyMUCuGnP/0pfvrTn7Z9vl5ZWcGNGzdw7do1XLlyBaurq9rX\nLly4gEQi0dFjy8vL/XtCPUCi00AGNQrT6/X29biSJDWJy2KxqKXGmeclM8xdX1+H1+vFxMREX/cw\nTNhsto794PqFmRrKjGJjm0Qn8RKabX12sNusmImKCI15YbNYUanXsZvJYzdbwKNnu/i//+gPOjoe\nb9F5VDCi3evEhQsXcOHCBQBAIpHA8vIyPv30U3z44YcAgHg8jpWVFaTT6bYeI9E5ggwqvd4tjUZD\nGwHJ6i9rtRpsNpsmLqempuD3+4+1nTCDST3At7aVpbh5nNx4WiYZRaPRQKlU0l6j//nNA95bIkzE\nfpnvOGCicwRBwHQkgIjoh9NuRV1SkNov4nkyh/XtNNa304d+xmm34b+815k1Hm/Rmc1mEQqFejrG\n1atXce3aNQBALpdrOl46nW77MbNAonOIaderU1VVVCqVJnFZLpchCAK8Xi/8fj9CoRDm5+fhdDo7\nEm+njaE0Aib6+uHH1u36vJqZzlp6XW/8n8/nNXcD/et0v3Z2ni/RG3abFbs0/tLUxIJ+jAfH4Hba\nsZ8vQFIFbO1lsZXMYauDcbb/2++9hbEO/Vh5i85kMtlz5/onn3yCS5cu4fz5833aFV9IdHKgn/PX\nWwUfu2jrU+OKosDtdmvRy/HxcXg8nr6kg+12O4pFvid91sHOU3SOokF7L7RGL1mU3eFwaFOlFhYW\njnQ3eLpDdknEAXPjIaw9T/LeBgFgzOvCVETEmMcFVQXypQqep3LYyxawly30fPz/+r90nh5WVZVL\n2RMjmUxifHy8q59ltZnLy8uIx+O4fv06RFFEJnNw/svlcgiHwwDQ9mNmgESngfRz/rqiKJAkCel0\nWvO+rNfrsNvtmricmZmBz+cbqBgzQ3qdt23SKHaQ6zntJoq9PvUWWgDg9XoxNjbWUZS9UK4imev9\nAkacDZyW4bvhGnacdhtmoiKCY15YBAGlSh3bmX1k8iXkSzsDWTMW9ON/eueVgRx7kPRiDK+vw8zl\ncvjhD3+ICxcu4Pbt2wAO6jxZzWe7j5kBEp0mh6XG9Rdslhp3OByQJAmRSASLi4twOByG1zXabDYS\nnSMsOlmklXXw60s42I2Qw+HQDJSPi162C9klEXqcLhp/OShsVgumI0GEA17YbVZUahL2snnsZPIH\nc+4NdJH4P//n34XV2tk5wwwZoF7mrl++fBm//OUvcf36dQDAxYsXARyIyZWVFYiiqInSdh9j5HI5\nBIPBpkaleDyOW7duYXV1FefOncOdO3eafm5paQkXLlzAtWvXcPXqVXz++efa1z777DMsLy9DEAQR\nQBbAin49VVU/ZP8n0WkwgiAc+2bQ17OxBp9GowG3293keenxeCAIAsrlMh4+fIhIJGLws3iJ3W7n\nbs5OotNY9JOlarUa7t69i3K5DADa65TdCDmdzr6uTXZJhJ79UpX3Fs4EU5EAoqIfLocddVlBZr+E\nrWQGT3fTeLrLvwmlm9Q6z5IrRiqVwmuvvdbVz4qiiMuXLx96vJfH9DCRybh06RKuX7+O8+fPIx6P\n4/PPP9dEp96GaXV1FdeuXcPa2hqAA8F66dIl3Llzh31LQi8yWyHRaTAWiwW1Wk2bNc4EJosIsYv2\n7OwsfD4frFbrscdilkk8ofQ6//UHiT56mc/ntdeq0+mE3++H1WrF3NwcRFE0pHaK7JIIht1qxSbV\n93ZEJODDRGgMXpcDiqpiey+NdLGKF6l9vEjt897ekbwTn8Zrs53XRfJuIgJ6i3QaTS6XQzx+MO1p\neXlZM6YHgGvXruHixYva92QyGaysrODChQuIx+P49a9/3fY6JDoNRpZl3L59W6u7jMViWFpa6srg\n3QwRNjM0svAWfWb4O/TanKaPXrKPUqmkORyMjY0d+VotFot9a0prhwRFOonfMjseQuIFNREdhd/t\nxFRUxJjHDUEA8qUqXqRzSO0Xkdofrm7/bqKcgDlEZy81nYMmkUhoXp63b9/WfEFXV1cRCoU0f09W\nR3rlyhXcuHEDoiji17/+Na5du4ZPP/0UoVAIV65c0afi44Ig3NIvparqx+wTEp0GY7fb8e677/bl\nIj1KU39OgnddqdVq5RpxZiUb7b4eFEU5VHspSZIWvfT7/Zr5/2mvU6NvOqimk2CExjxIvOC9C744\n7TbMxIIQfR5YLRaUqzXsZvNI5op4uLnLe3s9Y7Na8L///u909bMkOk+mNb1+7tw5JBIJ7fOf/OQn\nmj+ovhEpkUhAFEXta6urq/jggw+QzWa1b6H0uokYhFDkaYxuhj3YbDZUq/xqu3hHOtn6rQJRP7q0\n1Z+VlXH0EmkHXo4ANQqq6SReMjo33VaLBdNREeExLxx2G6o16cBMPZU705ZR/+vy6wgHfF39rBlE\nZ7lc7vvEwEFx/vx5rK6uNqXYb9++jUwmgytXrmiClNV0MsG6vLzckQE+ic4hh6WWeb65eJuzj3p6\n3WKxQJKkpjrhfD7fNLrU7/f31Z9Vv7ZRorNIdkmEjmy+xHsLAyHsd2M6FoLb6YAkK8gUSni+l8Xm\nbgabu6NVw/pff9T96EZJkrq+me4XvEvPOmFpaQm3bt3Cxx9rmXAt2hmPxzXRefHiRSQSCZw7d077\nvitXrugPFRcE4Q6a+UBV1RwACB3+UobnN2hSGo0GarVa3y78X331FV599VWud1Orq6t444034Ha7\nuay/v7+Pra2t/5+9NwuSK7HOM797b+77vlYVCoUGu5to9srmIlNcRJAULZpjUiT7wWTYpO1mKCxH\naB5GitDimBhPxAxfLIcfJqbBEP0wDEsWe0YzYctDiZAs2ZRGancDjUazsRUKteW+79td5iHrZmcV\nasmqyqysAvKLQDSQXZn31nbzv/85/zlcunTpkT/+bu5lPp/HarXidrsHg9UdDseJXHDfffddFhYW\ncLlcEz/WzZVNvvDf/+7EjzPj9GOQRASgp5zd7VQ+p42o343dakZVNSqNFpu5Eq3O9NcKnwY8Dit/\ne+U3MRuPZmbcv38fj8cztcHo3W6XL37xi7zxxhtTOf4UGKn0MHM6T5jTtn99HJwGp/FRPL4syw/1\nXg67ly6Xa7Dt4oknnsDhOFoZ6jicZHl9dZd9zDMeT+ZDPh6ckUkGNouJuaAXt70f6qk3OyTzFYq1\nJsVac9qnd2r56MUo9+7cJhQK4fP5Dl1Jm3Z5vVAoHHsF5qPITHSecWZjk06H6D1OeX3nAgC991KS\npEHvZSQS4eLFi7teRA0Gw9T2r59kef3BLKk8Ywu/237qRKfRIDEX9OJz9UM9/WHqNTKlKnc3zn6o\n56T5la//IuciHnK5HGtra1gsFoLBIIFAYCQB2uv1pjqn8zSHiKbJTHROiXEFb6Yt+E7DOZwl0SnL\n8rb5rLp7abVaB72XwwsARkEUxcdi9/tpExkzpocwxRCRKAhEfC5cViMCGhoC1VaPVKHCg1SeB6mp\nndojwxPxEM89MYcgCDidTpaWlmg0GmSzWa5fv47JZCIUChEIBPZ0M6ftdJ6lGZ0nyUx0njDj3L8O\nfaez0+mM7fWOwmkYWXQa0uPD7OdeDovLvdzLw3CSbuNOTrK8PhOdM3RKtZMJEYW8TsJeF6gyksFA\ntdlhI1siWajwmE9rmihf/dQLD71P2u12zp8/z/nz52k2m2SzWW7cuIHBYCAYDBIMBrf1sU97I1Eu\nl5uV13dhJjrPOEajkXp9usN+p+10TntclKqqdLtd1tfXBwJTURRsNtugPB6LxbBarRM512mK7pMU\nvLNtRDOgPz5obcwpbrfdSizgwWkzo2pQa7RI5EpkSzWypdnEhJNEEAS+8skX9v0Ym83G4uIii4uL\ntFotcrkcN2/eRBTFgQDVX2ta5HI54vH41I5/WpmJzimw3/71w3Jaejr13duPMpqmbRtLVKvVaLVa\n25zeWCyG0+k80TvsaTqdJ1Verzfbszf/GQDMh7yspo8WKrOajMRDXjwOK6Ig0Gh1SRXKFGtNKo3W\nmM90xlH4xIcuEPW7R/54q9XKwsICCwsLtNttcrkcP/vZz2g2m2xsbBAMBrFYLBM8490pFArDW3pm\nbDETnVNAFEVkWZ71dI6ZcQ6o7/V628RlvV4fuJd6cjwejw/cy7/+679mYWFhLMc+LJIkPfLl9aOK\njBmPHgG348CfB4MkboV67BgMEp1Oj2y5SqpQZXkze0JnOuMoHHXtJYDFYmF+fp5YLMa1a9cQRZFb\nt26hqurAAT2p0X6zINHuzETnGec0OJ3TDvLA+26fJEmHet5O97JardJutzEYDIPey7m5ORwOx1T7\ng/Zj2kGikxCds37OGTrDN5aCACG3g0jAg8VkpNuTKVQbJHIlVtOF2c3KGcNuMfH5l48/71hf6xuP\nx4nH43S7XfL5PHfv3qXX6xEIBAiFQthstjGc9e7MgkS7czrfRR9xxtlnMu0QDZwOp1MXvvuJzp3u\nZa1WQ9O0gXvpdruZm5vDYrEc6Xs0rVWgj4PonPVzzgi6HYT9LmwWIx9+8hzlepP1TJFMuU6mPN2+\n9hnj4e9+/EPYLMdfarEzuW4ymYjFYsRiMXq9Hvl8nuXlZTqdDoFAgGAwiN1uH+v1O5fLEQgExvZ6\njwoz0TkFxvmDPe0QDZwu0Wk2m1FV9aHey53u5fz8PA6H49DO6F4c1WkdB5IkTc3tPqny+spsRudj\ng8VkYC7kw+e0oWlQbbRIFsrkKnW6isK7K7Pc+KPKcdZeDrPfuCSj0Ug0GiUajSLLMvl8ngcPHtBu\nt/H5fIRCIRwOx7HfW3W3dcZ2ZqLzEWFaLhtMN8jS7XYHgZ7bt2/T7Xa3uZcej4f5+fkju5ejYjAY\nUBRlKqJz2kGik7jhmG0jenxod+U9+y6fiId4687aCZ/RjJNgLujlI08vjuW1Rh0MbzAYiEQiRCIR\nFEWhUCiwtrZGs9kcCFCn03kqzJ1HhZnonALj/gHW1zBOaxDuSfxC6u5ltVrd5l6aTKZBWjwYDBKP\nx6fmNsqyfCL7znc79qNeXn+QmjmdM0A5w7vWZ+zPVz/5AqIojuW1er3eoa/FkiQRCoUIhUIoikKx\nWGRzc5N6vY7X6yUUCuFyuUZ6v2s2mxPtFz3LzETnI4DJZJr69oVxoruXw8lx3b10uVz4fD7OnTuH\n2WweXACWl5cxm81TEZzweAi/vY49yZFJ6XyJv3n33mxc0gwA3n2QmPYpzJgQX/3U/rM5D0Ov18Ph\ncBz5+ZIkDdLuqqpSKpVIJpPcvn0br9dLMBjE4/HsKUBnyfW9mYnOKTBuZ1BPsE/zzkoPsxxG9Kmq\nSqPR2CYwO50ORqNx0Hu5sLAwUu/ltBP00xSd0zz2OHs6S9U6b99Z5e07D7hxd5Ub99ZI5csgiIhW\n51iOMeMMIxmQlelOyZgxGT785DkWo+ML3Yxz77ooivj9fvx+P6qqUi6XyWQy3L17F7fbTSgUwuPx\nbHNpZ9uI9mYmOqfIo7R//aD0eKfTeci9hP5qM6fTuat7eZTjT4vH2ek87LFVVaXZ7nDz3jrXb6/w\n9r01bt5bYzWV3901HVPJbcbZRkBg8msIZkyD48zm3I1JVf5EUcTn8+Hz+dA0jXK5TC6X4969e7hc\nLlwuF36/fzYuaR9monMKTGL/+rRnderC12g00mg0tvVedrvdQe+l0+lkcXERh8Mxtv4d6IvOae6g\nn7bTeVrL66qq0u3JvLeywfU7D7hxd40bd9dY3kijjHrOwnRaJmacLrSZy/lIYjIa+Lsf/9BYX/Mk\nMg6CIOD1evF6vWiaRrVa5S//8i/5F//iXxCLxXjqqadotVonNoz+rDATnY8A03A6NU3b1ntZqVS4\nfv06kiQN9o0HAgHOnz9/ImMj9CDPtNDT69NgmnM6h8vrqqqiKAp31pLcuNMvj9+4t8atBwm6vaN9\nbzwuB5LZRqkxvRuKGacAUQJ1uvOIZ0yGz7/8Qdz28Qqzk844CIKA2+3my1/+Ml/60pf4nd/5HdbW\n1vi5n/s5nnzySb72ta/xpS99aaR1nFeuXAHg/v37fO973wPg9ddfx+PxcO3aNX7913/9UI+dNmai\nc0qMe/96o9EYy2vthqqq1Ov1beVx3b10uVyD8nggECASiUzsPPZjmqIPpit6T7q8Piwy11I5/vSv\n3uaHf3aNn60k+NnKBo3W0QSiyWjgfDyC1+NCUSFVqJLMl6HX7q+emfHYIggiGjPR+Sgy7tI69E2R\ncVbSDoMoigiCwK/92q/x6U9/mnfeeYfXX3+dz372sweKzqtXr3L58mWWlpb4+te/ztWrV/H5fABc\nvnyZlZUVrl27Nvj4gx47jbvfZ6JzSugO0Wnq6dQ07aHeS13MHuRedjqdqZV44XT0dE6rr3aSpX1V\nVdE0DVVVSRfKWyGfNd65t87N5XVKtaPd7AiCQDzsJxrwYzAaKdaarKUK3EuVIVUe82cx46xjEDSm\n27U+YxIEPU5+/tknpn0aY0cPEgmCwHPPPcdzzz030vNWVlZYWVnh1VdfZWlpiZWVFX7yk5/wuc99\nDoClpSWuXr1KoVAY6bGZ6JwxYNo9nYqiPORe6hsU9N5LfTXYKHeM0w4znQbR2W63p3LscTid+vM1\nTUNRFMq1Bm9vlchvLq/zzr110oWji0G3085iLIzdZqPR6bGWLpIstUiWRhiBM3M5H280ld4Uf7dn\nTI6///PPYxjzmLtpmh86Rw0Svfrqq4O/X7t2jVdeeYW33npr4HYCFAoFyuXySI+dRmaic0qMU3Tu\nJ/iG3Us93NNsNhEEYeBehkIhLly4cKzB5kajcWqiC06H6JxmX+Vh0N1L3cGsN1sDYfnO8jrv3Ftj\n7Ri7zk1GAwvREHaLmU5PptzskS3Xubm6+5aZGTP2w+lwUptg+9CM6TGutZfDTHNRik6xWMTv9x/5\n+Xpp/DQ6lcdlJjqnxDhFpy649nIvLRYLDocDl8tFOBzGZrONvd/FYDA81k7ntHtK92K4PK5pGt1e\nj1sPkryzvE4iW+Rv373L23fWRk+S78JcJPBQmXwlUx3jZzHjcaY+MzkfSS6dj/HUufFnAE7DohRN\n0461qOTq1auDEJHH46FYLAJQLpcHYnbUx04bM9F5BtE0jXa7/dDcyzfeeGOs7uVhMBqNUxV9096N\nO02nExgIS/2P7mRuZArcuLfO23fXuXFvjXfvb9Luvn9zIAgC5+IRQl4Xsiyzns6SK+4tGHeWydcz\nhyiTH4VZaf3xRpTQOjOX81FkEi4nTF90HjcgfOXKlUHy/OrVq7zyyiu8+eabQL/n8/LlywAjP3ba\nmInOKTGqSJJl+SH3UpZlLBbLoPcyHA7TaDT42Mc+NjXxNe2ezmlzkun1ne6lHkj7b9feJtfocWc9\ny9t317hxb51cef/1kZqmsZrMsZp8f7d5PBwkFvQiCNBodXDZ7cgapItVErnyiZTJvU4bC2EfyUKV\nXPVsiA4BZsPLx4xosqG2ZytQHzUMksiXPzFauOawjHMb0VGoVqu4XK4jPffq1av8xm/8Bt/73vco\nFov86Ec/4sUXX+TNN9/k6tWreDyeQcl91MdOGzPReUrQNI1Wq0W9Xt/WeymK4kBcRiIRLl68uOtd\nnF7endYv20x0jt/p3Bnu0R/TNA1FVbm9muTGvQ1u3Fvn+p1V7icyHOcm2+9xsTAXxWqzU2nJrGbK\nKKrIcwEX6WSKRG5SqXKNmM+F02rAIEmU6i0SuTLFcgUMJoRTtpFIEEASRWRle0vCTHCOH21mdD8y\nmM1mwn4vT52LUg/hqAAAIABJREFU8OWPXyLgPvpu9P2YttN5nG1Ely9fplQqPfT4cMDosI+dNmai\nc0oIgkCxWCSbzQ7cS6vVOhCY0WgUm802snOpJ9inJTqnXV6G98dQTWM+23E//53hHv2/0P+8ErnS\nwL28fmeNd1c2aHeOLvJFUWBxLkooEEAVDaRLDZLFGjcTNWC7s/TWcgpJFPjI88+QTqdZTx89ZARg\nNRtZigVwWM00W21WU3kSueLuHzzl8rrZaEBDo9t7/3uraTwkOGdMBq3dnPYpzDg0AjablbmQj2eW\n4nww7uXvPD3H0xcvnMjR9Sks0yKfz89WYO7DTHROEYPBsK97eRim7TROu6cS3g8TnVQf6zCHEZ27\nlcc1TRt8DeutDu/cW9/qxVzj+p3VA8vkB2E1m5iPhvB6fbRVgdVshfVal/XaaAJSUTXeup9CFAQ+\n/Pwl8tkcq8nRyuwRn4tY0I1BFMmXq6wm87y7vD7Sc0/q58pkNGCURBRVpd19v02ic8RNSjOOj2i2\no876OU81gijidjo4Fwnw7BNzfPrZC7x4IUKlVCSXy2E2m5EkCZft4E0846LX6+FwTMZFHYWZ6Nyf\nmeicEvraLP3vx8VoNE59//q0mabo3G0H+c7yuO5kDgtMRVW5u57m+tZO8ut31ljezBy7GX0uEiQW\nCSMaTeSqbTZyFVYqKlSO51Kqmsb1+2kEAT783CWKhTwrm5nB/zdIIuejAbxOGz25x2amSCpXIJU7\neGacIAgsRAKEAz4kg4FkocZ6erz9o5IoYjYZkESRnqwMQlXdnkz38e0OOZ2I453fOON4iJKBgNfF\nhViIl55c4LMvXuT5C/Fd37+8bheLi4s0Gg1u377N+vo6xWKRUCiE3++faEXuLJfXHwdmovMRwWQy\nTb2ncprlbZju2CTdrez1etvcS+h/XfQLc6pQ4fqd1UEf5s37xyuTA5jNRi4szOFxu+moAmu5Cul6\nm/TaHiXrMaBpcH0lTcBp5jMffhql20bTYC1dYGUzNVL52e92shALYbVaqbd7rGVKbFY6bFbS/WMc\nc9e20WDAbDSAoG2JSgVFVWm2H++bs7OC2pve3N/HHlFCECQQBJ6cD/K9736F5y7EDv0ydrsdh8NB\nJBJBkiSy2Szr6+tYLBZCoRCBQOBYo4V2Y9pzOvP5PM8///zUjn/amYnOKTLu/evTdjqn6TQOH3+S\n7BfusdvtvPnmm0QiEcLhMO2ezM3lTa7fWR38OW6ZHCDk97IQj2A0Wyk1u6xlytzNdyA/2VS53WRg\n3m/DYYROq8FmOkdqpUJqZfvHiaKA3+XE73HisFr6bwCCQE8Fq9VOR9FI5Ctky3XKa/s5r6P+bggY\nDSImowFtqzyuaho9WZ5tsjmjCEYL2kx0ngyiAUEQQQBNVUGVCbvtXIgH+eonX+CXP/3isapxsixj\nMBgGAvT8+fM0Gg2y2Sxra2vYbLaBAzoOATpzOk83M9E5Rca9f73ZnG7Tvd5X+qiITl1gDs++HA73\n6N83SZKQFQXB5uHdlRzf//Efc/P+JslCFfWYNxUGg8T5+RgBvw9Zk0gUa2TLDYobFaByrNfeD0kU\nWPBZ8dmMKL022VyBjVSem4lRPh8Bp8OG2+kEQSBdrrOZLaKoGqIgMBd0E3A6MIp2EsW9e/YeviHr\nf70NBhGjJCLLCj1FBTR6skJPPn3D+WccDadZojprdxgvgtAXmFu/R5qmYkDjXMSL12VHEiVEUeT5\ni3P80sef4dJidCzvTTudR30bni5A6/U62WyW1dVVbDYb4XAYn893ZAEqy/LY3dPDMOvp3J+Z6Jwi\n096/Pm6mPSD+OKJzv3CP/n0SBGHQi5TMl3lbdzDvrnFzeYNW5/hff4/Lyfm5KFa7g2pbZjVb5kFZ\n5kE5d/CTj0HMYyXsNCFpMoViidVkhruZ0b6WkYCXWCiA0WikVGuykS2ymq2ymn14yLyqaaxny5Dt\nj18KeV0sxkLImsByqkijvV1pSKKIKApbgrIvQmVZQZ4JzEeaSrV26kZlnSkEcatELoDWb1Xx2EzM\nhXzYLGYq1RpdTWQ9WyZZavLMhQW+8vPP8Ylnl8a+C32/uZmCIAwmtiwtLVGv18lkMjx48AC73T5w\nQA/bsjXNYOtMdO7PTHQ+Ikw7vQ5nYxXmKOEeQRAGd8qiKFJrtrhxd31QIn/77hrZ0vHXPIqiwEIs\nQjgYAMlIptJkM1/lZqoO1I/9+nvhtZuZ81gwiyr1eo21ZIa1XJO1EZ7rtFlZjEewWsw02l2S+QqZ\naotM9WgbibKl6uBr6bCa+cQHnwBRotPt8bfvraBoMJtO9HhhEAVkZoJzZAb9l4CqgaYQdNsJelzY\nbWZaHZlksUqx0qCy3r95FYCPXzrPP/vKp/jCR57GOcF0uaZpI4nGYQGqaRq1Wo1sNsuDBw9wOByE\nQiF8Pt++rzWudrXjUKlUBiHhGQ8zE51TZJyBm9PidE5bdLbb7/eB7Zx9uVe4Z1hgyorC7dXkYFTR\n9TurLG9mUNXjX8zsVguL8zHMJjO1jkym2mGzIbPZODjZfVSsRokFvw2nSaDTbpJM50ivlhml+9Nk\nNLAYi+By2OjKCplSlVy5wbtrmYOfPAJBr4v5cACTqb+zfTVV4L+8swz0y/szHk96vS6CNN3d2aeW\n4f5LTQO5B4qCJuh3ZiIIIrlah1xte3XEbDLw9LkIv/D8RS5FbfzC3/noyZ//iAiCgMvlwuVyoWka\n1WqVbDbL/fv3B1v4vF7vQ++hiqJMtbQObDMwZjzMTHQ+Ikwzua0zLdE53GfZbDbpdrsPzb4UBAFR\nFAf/1Ulki+8HfcZYJgeIhwPEImEMJjP5Woe1bJk7uTYwmYCEJArM++34rRJqr0OuUGQ9lePd5MFW\noSAIzIX9+D39O/RirUmqWONeqggcPwUvSSJLsRA+jwtZ1UjkymRKVfL13R1SZQwif8aMs4sAkuH9\n8rimgiKDIqMJQv//C0JfnO8icATA47CwFPXz0pMLXH7pKT781DkEQaBWq7G5uXkin8U4nEd9vKDb\n7d4mQJeXl3G5XIRCoYEAnXaISFGUqU1vOSvMROcUGefd0Gm4szIajTQakx3mvF+4x2azkUgkBgny\nSCSyLdSkl8nfvrvK9Tt9J3McZXIAk8nIhYU4Ho+Hriqwka+SqbXIrD+80mxcRIf6MMvlMquJDPcy\nPe6N8Fy/20k06MMgSdRaHVKlOpvFJpvF8YTRXA4ri7EQdouFaqvDaqrAcroE6cl9PWacfURRRBPM\nfZH1uLCz/1KRQVNBlrfWgIp9gWnYPaApCuB1WLkQD/DhJ8/xhZef5kN7zM+Ek3UDxz1Cb6cArVQq\nAwHqdrtxOBxT3bteKpXw+/1TO/5ZYCY6HzGmae1PIj2+3+YevUSuX2RMJhPPP/883W6XRDLJH/34\nz1nNVtgoNLi1lhpbmRwg6POwEI9itlgptXqsZsrcK3ShMJmxRV67ibjHikVUaTTqrCczrN9rMMpe\nH6vZzHzEj8Vsot2VyVebFOttiuvjCScJgsB82E/A66TXk8mW6+SqTW4+SI/l9Wc8RpgdaK3x3Aie\nSob7LzWtLzBVtf/3LfcSQUSQdn9rlgTwOW08EQ/w8tPn+MWPPsPT5yKHOgV9hNFJMMljCYKAx+PB\n4/GgaRrlcpn19XWq1Sq3b98eOKAn+X6Yz+cJBoMndryzyEx0TpFx/zLoqxindad31PL6UcI9O5lk\nmdwgiSzO9ccWKYKBZKlOplSntDmZsUUWo8SCz4ZNUmhUK2QKJbK5xkh9mJIkEg/6cTmsKIpGudkh\nW25wL1Ue3/mZTCzNhXA77DS7PdbSRTYKNTYKx59BOuPxRhAeodKkaOgn8DXQ2Nl/qYvLvUvBkigQ\ndNv5wHyIj33wPL/4sWdYivpRFGVbf7qiKA+1De3HSYrO/ZLr40QQBLxeL51OZ+CEZrNZ7t27h8fj\nIRQK4fF4Ji5Ac7kc4XB4osc468xE5ylgXO6kLvpOs+g8SrhnJ/Vmmxv39KDPeMvkAG6nnfPzMWx2\nJ7WOzGqmzGpVZrV6vBWSuyEKMO+3E7AZ0OQOuUKJtWSWn43Qhwn9MI7f7UQURZpdmXSpzkaxAfvM\nvzwsYb+buXAAg8FAodpgLV3g1kYOGN8YJ6fdzvnz53B7A2yksqwu3x7ba884Oyhncte6AJLUF8wa\ngLrlYCr9rVqCCOxdHgcwSAIhj4OnFsJ8/NISX/zYMyyEfbt+rH5NVFUVRVEGSyr0fsKDBOhJltdP\nejuQvpzE6/Xi9XpRVZVyuUwmk+Hu3bt4vV5CoRBut3siAjSXy82czgOYic4pMiyyxoGeYLdarWN7\nzcOws7yuC8qdm3sOCvcMoygqt1eTXL+7OvY0ef8c3t9TjmQiW22xma/wbqoBjP8NMOy2EHGZMWoy\n5UqF1USG5WyX5RGe67RZCPlcmAxG2rJKvtYi3+iSb4yvT9JgkDgfC+F3O+kpKpu5MtlyjWx1fMED\ngyQxF4sSjsaQbG4KLY1Epc39HpBVaWfGL+5nnH5EswO1M7lRYWNh0H8pgqYhCRqK3ENTFDTUvnsp\nCAjSHgJT0zAZJMI+J08vRPi5Dy3xdz/+DBHf4UfsiKKIKIoYjcZtAlS/xu51bZVlGYtlciOSdh7r\nJE2QXq+Hw+EY/FsURXw+Hz6fD1VVKZVKpFIp7ty5g9frJRwO43K5xvY+PNtGdDAz0fkIcRrS461W\ni3q9jsFgeGi4+n7upU4yV+KaPg/zzirvjLFMDmCzmllaiONyuWn1NFazZVKtLqnV8e8pd1uNzHmt\nWA0azXqd9VSWzeU6o8g3o0Ei6vfgsFtBkCjW22RKNerZ8b4pe5w2FmMhLGYz1WabB6kCy6kiy6nx\nfD0EQWAhHicai2G0u6h0RdZLLXKKRq4CVFrbPl7TNNRHuadvxp4IBhN0pn0WQwjSlsAEQQODCHKv\nh6rIaFvhHkUUQTKxq2TRNMxGAxG/kw/EAnxwzsczcSfz0TCRSGSs/YbDAlQXn/p1WRd++nX3USyv\nDx9vL2dVFEX8fj9+v38gQJPJJLdv38bn8xEKhY4tQPP5PE899dSRn/84MBOdU+as7V/fK9wDW2N3\n5ua4ceMGdrudWCyGz+fb85d4Z5n87burZIrjFRzRkJ94NIzRZKFQ748tup1tQ3a8Y4vMRpFzPjsu\ns0Cv0yKZzZNcL5IfIekjCAJhrxOv24nBaKLW6pLIV9gotaDUOvgFRkQQBM5FAoT8HjQE0sUqm7kS\nN1ZSYztGMOBjYX4Bm8tLUzOyWe6S78jkK0Dl4K+51uugydOdNztjOqi98f2sH5qh/ktRAKPYr7L0\ntkYUaQj0EEEy7ikwLSYDsYCbZ85H+flnL/KFj34Qj8O248M0SqUS6XSaO3fu4PP5iEQiY3XbJElC\nkqRtlabhMvxJB4lOsrw+6siknQK0WCySSCQG35NQKITT6Tz092S2jehgZqJzyox7//q4nM6jhnvO\nnTvHwsIClUqFRCLBvXv3CIfDhMMRVtOFLRezLzDvbaTHViaH/jDzpfk4Pq+HriayWaiRqzbJrY8v\nRAP94OmC347fbgC5S75YPFQfptdpI+T1YLVaaMlqf2ZlvUumPt5xQhajkfPxIG6Xg2ZHZi1dYC1f\nZS0/HmE/3IfZkyykajL5epfbTaDZAw7/s6i0JrdPfsbpRRRF1O5JiE6h715uXa8MooBR0FBUjU5P\nBkFEFUU6CoCIIO1WldGwmozMBT18aCnGp56/yOUPj7bVRxCEbeXeQqHA+vo6jUaDQCBAJBLZVh4+\nDsO9n/V6nWq1SrVapVarEY/H6fV6SJI00bmSJ1nKh9FF5zCiKBIIBAgEAgMBurGxQaPROLQAnYnO\ng5mJzikz7p7OSuXwb9rjCPcMIwgCzZ7Gg1KXa7cSvPH7f8GttXT/oj5GAl43C/EoFquN8tbYouVS\nD0rj3VPutUr4LGAzirRaLdaTWZZznZH6MK1mE7GgF5fTgawKpEtV8uU65fR4hTBALOAlFvIhSRL5\nSoO1TIHbiQIkjr/xyGQwcH7xHIFQGEx28jv6MGE88z1npfXHE1U0gDpmh1sQtjb49OdfmiUBSQRZ\n1ej2FDQEZE2kf1US9hhTpGE3m5gPeXj2QpzPvPABfuGlp7Ca9w4FjYooigSDQYLBIIqikMvlWF5e\nptPpEAqFiEQih+7P73a7A2FZrVZpNpsYjUacTicul4twODwQgbIsDxxQvfdz3AJ0Gj2dxznesABV\nFGWbAPX7/YRCIRwOx57v27Mg0cHMROcjxGHS48cJ9+zk/TL5Gtfv9nsxx10ml0SRxbkowYAfVTSQ\nKjVIFWuUE1VgfMdyWozM+6zYDRrNRoPNdJZsrjbyuKK5oA+fx4UgGShUm2xkS6xka5Ad7zgho0Fi\nKR7G63bQlVXWsyVSlTqpyvHF37Y+TJuLck9ko9RmU1HZLABMzpFSmjPR+Vhy3IrH0IB1ATBJAiIa\nsqLRU1QQhL57qWx9vCjtUibXcFrNLIS8PH9xjl948Uk+/cIHMJ6AaJIkabDQotfrkc1mee+991BV\ndatSFMZsNm97TqfTGYjLarVKq9XCZDINBGYoFMJms+0pkPQSvP5HURRkWR6Iz3EI0GlsCBqXcJYk\nadtNQaFQYG1tjWazid/vJxwOY7fbt319m80mdrt9LMd/VJmJzikzqf3ru23uGS6PH9a91FEUlTtr\nyYmWyQFcdhuLC3EcDgf1rspqpsxarcdabXzJZqOh34fpsYjInRapXIHEZoHixmifi9/tIOz3YLPZ\nqbW6rKYLrBebrI9pq8/OY81HAljMZsqNFg9SBe4mC5A8vou5sw9z45B9mONCk7to0+zrmzElBFAP\n0YqhD1gHBEHDIolIkkhP0ej0FDRBoCPrv8NCv0lzF1w2M4sRHy9cnOezLz7Fzz93Yep7u6FvHsTj\nceLxOJ1Oh0wmw9tvv42maVgsFlRVpdPpYDKZBvvJdVf0sJWzYXGpC8/hJPxxHdCTdjonhSRJhEIh\nQqHQQICurq7SbDYHrujFixenfZpngrP/0zBjm1up9+7od5e6wBx2Lg9zAdmWJr+7xs3ldZrt8Qc9\nQj434WAAi91BsdFjPVfmvfT4xhYJwJzPRsBhRJS7FEplVpMZbqWUA58L4HbYmIsEcdjttLo91jNF\nivUWxc3x7Cbfdq6iwGI0SMjnRtEgVaiSzJcpjiHwM9yH2VQNpGoylY56rD7McaHMSuuPJYJkRFP2\nuKZsBXw0DURUzAYRSZLoyio9WUVDoCVrIG/9Hu+xh9xtt3A+6uPSuTDPzvtY8Jrx+XxEo9GxhniO\ni6ZpdDqdbSXydruN2WzGarUiyzKtVgur1UokEiEYDI5NKB8kQA9bAYOTFZ3jykYcxLAAlWWZQqHA\nr/7qr/LgwQMkSeLWrVs8/fTTR3rta9eu8eKLLw7+/frrr+PxeLh27Rq//uu/fqjHTisz0TllDvNL\nclC4RxAE4vE47777LhaLhfn5+UON5eiXyde3tvpMpkwOYDGbWFqI4/G4acuwnqtSbLQpZluMq3Qb\ncJiJeSyYBIVqtcpaMsNKrs3KCM81m4wsxkJ43S56ikayUCFdqPDe+ngHous4rGbOx8PY7VYarS4P\nUgVWsxVWs8cL1ZiNRs4vLuAP7tWHebpS4lJ7FiJ6HNHQBv2XCAJoGoKqYTaKiKJER1ZQAQ2RtsyB\nAtPrtHIhGuClpxb4/Msf5KUnFx66Bg4HRmq1GsFgkGg0eqKlUU3TaLfb20rknU4Hs9k8cDDj8Thm\ns/mh86/X66TTaR48eIDD4SASieD3+8dWOdtLgKqqiizLSJI0kgA96UH0J+2qGgwGwuEwP/rRj7hz\n5w6/8iu/wm/+5m+yubnJl7/8Zb71rW+xuLg40mtdvXqV7373u9y/fx/oC1CAy5cvs7KyMvj3KI8N\nC9fTxkx0nlKOGu5ZWFhgfn6earVKIpHg7t27hMNhYrHYQz1BACuJDP/7//lnvHX7wUTK5ACRgI+5\nWASj2UKp0WU1W+ZuvgP58ewpt1sMLHht2I3Qbvb7MFMPqoziC4qiyEIkSMjvBVEkX2mwni5wN1mC\n5HjT5DrxkI9Y0IsoSmTLddazRd5dyxzrNffqw9xQVDYm3Id5FOwGjZhFxqY26NRKJNNpktUugjj9\n8uaMCSMZ+usfBbG/FlLuYDYaQJTo9pQtAar3YO5diRCH95A/tcgXPvpBPrQUH+kme2dgJJfLcffu\nXXq93iDEM87UtS4whxPknU4Hi8UyEJhzc3O7CszdcDgcPPHEE1y4cIFqtUo6nWZ5eRm32z2xGaBw\ntC1IJ+UiT6N/dJhOp8MzzzzDv/23/5Zqtcp/+A//gbW1tZFF5+XLl1laWhr8+9//+3/P5z73OQCW\nlpa4evUqhUJhpMdmonPGngiCMEjc7Zx9edRwjyAIg/2zsiyTTqe5ceMGZrOZeDyO3+8fvPZSPMw/\n+/rn+eH/+1Py5RqFyvGGjxsMEkvzMfw+HzIim4U6uUqD/MZ40toGSeSc34bXIiF322RyBTY287wz\nYh9mOOAlHgpgNpmoNNuspQqs5Wus5SezN9xolIh6nbiddhANJIs1kqUGydLx2gZCAT8L8wtYXZ6p\n9mGOgk3SiFt1gVkmlU6TyBZI75hPK9gOv5VlxulGMJj6DiYCqDKa3MUkCqiaiiLLIAgIkpGuCqjq\nru4lgCQIBNw2Ls6F+MjT5/jix57hyYXIWM5xOMTT7XbJZrO8++67/fm5WyGew4gZTdNotVrbSuT6\npjin04nH42FhYWFXE+CwDF/rT2IG6F5bkGD0NZyTYtqic3gbkcvl4h/8g39wrNcrl8v4fO+vQi0U\nCiM/dpqZic4po2kaf+/v/T3Onz/Pt7/9bV544YVDh3v2w2AwMDc3x9zc3MD91GdnxmIxLBYL56IB\nfus7f5//4Vtf4o//6jo//E8/5W9/dn+k1/d5XCzGo1jsdqotmQeZMitlmZXyOMrQGnGvnZDTiCB3\nyebybGTy3E6PNg/TZbdxLh7GYbPR6sps5kpkK3Wy1cQYzm13Ah4n85G+qC3VW6ym8myUWv1B70dk\nuA+zK1pI1/vzMG+dgj7MnVgNGvEtB7NbL5NOZ9jM5MnsswAhGgrgdLtZHkMoasaUEMS+wBQk+rvH\nFVB6iJqKKvcGYlKQjPRUQC+p74JBFAh6HDw5H+KjHzzPFz96iaX4yYyhMZlMg+tlq9Uik8lw7do1\nzGYz0WiUQCCwrVysaRrNZnNbibzX62Gz2XA6nXi93rEJzIM4yRmgcPAWpJMWnqdJdM7Ym5nonDKi\nKPLnf/7n/Nmf/Rn/5t/8G9bX1/nmN7/JK6+8gsvlGuux9DKOoihkMhlu3rw5EKV+vx+T0cBXPv0y\nX/n0y9xZS/F//Kf/yv/1n/8b1UZr61wFzsWjhIN+NNFIqtwkWajyTrIGHN8p9G/1YVoEhWqtxloi\nw2quxeoIzzUZDSzGI/jcTmQNMsUqiVyZd1ePV7beD1EUOR8LEvC6UVSNRL5MulilcD955NfU+zAD\nwTDaBOdhjgOzqBIzd3EJHTr1EplMlo10juw+AtPtdLA4F8PhdNJWYCNfJV9vkc3MQkRnBtGAYDAC\nImgqmiL30+eKDPTL4wKAZEQFdl/hA2gaRoNEyOPgqXNhfu7SEl/82DPMhbwn9Insj9VqZXFxkcXF\nRer1OqlUiuXlZUwm02A8naIoWK1WXC4Xfr+fxcVFTKbjz/A8LpOYAbof+hYkWZap1WpUKhWq1Som\nk+lEhtDD9EVnPp9nfn5+bK/n8XgoFvsh1XK5jN/vBxj5sdPKTHSeAiRJ4vOf/zyf//znSaVS/OAH\nP+ALX/gCL730Et/+9rd58cUXx9oXI0kSsViMWCxGvV5nc3OT5eVlQqEQsVgMq9XKk+ei/M+/8g1+\n89v/Hf/xp29z/UGGH791n416i4368R0pu8nAvN+GwwidVoPNdI70gwrpEZ4rCALzkQAhvxdV1ciV\na6RLde4li5Ac/w51HZfdymIshN1modbs8CBVYCVTZiVztNYBQYBoOIzX68Xi9NEWrSSqvVPZh2mV\nNGJWGYfWpFsrkc5k2UznyO8jME1GA+cX4vh9PhTBQKbSIJGv8l62Cdnt4llTR5siMONkESQTiCJo\nGpqqoKkKgqpCr9d/nK2ePekAoaVpmIwSEa+TJxdCXJoPcCnmJOh2EI1GCYVCp2JckY6maTQajW0l\nckVRcDgcGI1Gut0uvV7vVCbgd7LbDNBbt26hKMqeM0BHQVVVarXa4OtTq/WNB4fDgcvlYn5+fhDM\nGi7DT0qA9nq9E91+tJNCocBLL700ttd75ZVXePPNNwFYWVnh8uXLACM/dloRDrn3e/wpkxm7oigK\nV69e5cqVK2xsbPDNb36Tb3zjG2N3P4ePl81mSSQSiKLI3NwcgUBg28Wh1uzwF+/c5ydv3eU/37hP\nrdkZ6bUNosCC347XKqH02mRzBTYy+ZFDSwGPi/loCIvZTK3dZT1doNacfN/ifNhPJOBFEEUypRob\n2RKH/H3Zxvt9mF6amoGNcpdGZ7xbmsaBVeqHfBy06NZKZLJZNtLZfb9fggAhn5dAwIvV7qLR01jL\nlPqDuQ9A0zTUznhGY804IoI4CPdomgJyt7+WUlMRkDDaHCiMKBQ0DbPJQNTn4tJilE88e4Ff/Ogl\n/O6HS7uNRoN0Ok0ulxuksH0+34mWZlVVpdFobBNPiqJgs9kG1SGn0/mQi6Yn4FOpFPV6fSoJ+OOg\nzwDNZDKIokgkEiEUCu3qFu5cpVmv19E0bSAwXS4XDodjzxsHPacgy/K2a+g4Bejy8vKgvWAa/Oqv\n/iq/9mu/xgsvvHCk57/++uv803/6T/n+97/P1772NQCuXLnC0tISKysrvPrqq4d6bAqMdNc1E51n\nAN39/MM//MOJuZ/DNBoNEokEhUKBQCBAPB7HZrNt+5ierPD/3VrjJ2/d5Sdv3SNd0svrW32YDiOi\n2qNULrPvgIvqAAAgAElEQVSayIy8AtNmMbMYj+B22uls7SXPliZferWYTCzNhXA5bLS7MmuZIuX6\n+PswTxsWUSNmk3FqLXr1MplshvXU/gITIOBzMx+LYbPbqXdVNnIVaq3RbkJ2oqnKCe3dngH0y+Nb\nKx81VUbrddB6WzdxQ992p8NORzOi7PdeomlYTAbiATfPLMX45HNP8IWPXMJlP1zpVtM0qtUqqVSK\nUqk0kRAMvC8wh1Pkqqpit9sH4tLlch169I5ewk6lUhNLwE+SVqtFOp0mm81iMpnweDxIkkS9Xn9I\nYDqdTpxO55Gd6eEtSLoYHccWpFu3bjE3N4fT6TzyaxyHV155he9///vE4/GpHP8UMBOdjxq6+/na\na6+xubk5cfdTVdWB+wkQj8cJhUIPXRg0TePmgzQ3761xe/k+761ssJ7OkylWUfYRL5IksRgP4/e4\nQBDJleusZwoTGdu0k5DPzXzYj8FopFhrsprKI4/gyu3GXvMwj2GKTgSzBPGtErncKJPJZNhI5VDU\n/T9vq8XMhXNzuNxueppIqlgnUz7elINhVLmLJp8+Qf5IIBkRRAOgoSlb7qUiA/15mLsiSggmK6K0\n0/HSsJmNzAU8fOhCjE8//wEuv/w0dst4QzJ6CCaVStFsNgmFQkSj0UP3IA67c3oZWFXVh8TTuGc7\n6gn4dDp95AT8SbGbgynL8mCqit1uZ25ujmAwOBH3WU/A61Nb4P1pLYc93jvvvMPFixfH2qt6GD77\n2c/y05/+9FT09E6Jmeh8lNnpfn7nO9/hhRdemJj72Ww2SSQS5PN5/H7/YB2YfjFvNBqIoojdbh9c\nzK02G+lChdVkltVkjgfJLJvZIuVmh0q9zWoqT7s7+eS1JImciwSwm410ZIVio0OherRAzl7zMEcp\nI58kZgliFhknfYGZzWZZT2YPFJiSKLI4HyMY8CMYTORrbTZy5X1vHo6L0m3BrKfzeAjCVv+lAKqG\nJncG5fHBh7C3zgR2iE0Nh8XEfMjLsxfifOaFJ/nMix/Aaj7ZN1RZlgcCTlEUIpEI4XD4oTf2nf2F\nw+6c7l4ex507KnoCPpPJ7JmAPyn2cnmHS+TDXyPdfU6n0xSLxYnMAN15fnoCXtclhxnB9NZbb/Hc\nc89Nbe3mpz71qW3D2h9DZqLzcWDY/UwkEnzzm9/k61//+tjcT33m3PAFvdFoDGayBYNB4vH+jvRR\n70z/5t1l/vUf/Ak/vXF3LOe4E7fDxmIshM1iptLssJrO0+ocTdyehT5Mk6gxZ1Vw0ERuVMjlsqwn\nMyM5t9FQgHg0jMlio9aWWcuWaZ3AjYDOrJ/zCIhSv/8SQFXQeu1+eVyUMJnMmCWBWqM5cv+xJBn6\ngZhQfw/5L7z4JJ96/iLGU7Yzu91uk8lkSKfTiKKIzWYbBH6AkfsLp4WegM/n8zidTqLRKF6vd2IO\n4mEE5kEMzwCtVCoTa38YPv9hAapp2oFbkN544w1efvnlqQW6ZqJzJjofO1KpFL/3e7/HH/7hH/Lh\nD3/40O6nXmrRBabeUK8PNdb/6FszWq0WiUSCXC6Hz+cbiM9R+W/vrfC7v/9j/svbd476Kfedx3CA\ncMCDJkCm2A/8HAWH3c6F84u4vP5T24dp3BKYTpp0qgXS6TSpXHEkJ9LtsHNuIY7T6aIta2wWahRr\n0xvBFHZZMNPjwTHXfT7SSMbBliZN6aF1W6D0AAEk41ayXEVQFdR9tvcAIAjY7Q7CAR+L0QCLIRfn\nvCZevDjPXDz+UHDwNKBXU3ThVK/XEQQBs9mMoig0m008Hg+xWGxiDty40TSNSqVCKpWiXC7j9XqP\nlYAft8Ac5XiFQoFMJkO9Xp/IDNCdxxtOv8PuDugbb7zBRz7ykYmcw0E0Gg1++Zd/mb/6q7+ayvFP\nCTPR+biiKAo/+clPuHLlyp7uZ7fb3SYw9Yu5Xo5yOp2D8SAHoV+ENjc3kWWZeDxOOBwe+SL31u1V\nfvf3f8xfXLt14MdazSYuzIVx2m00Oj3WMgWqjcMn2Yf7MDWTnUxdJlPrnaofcKOoEbcquIQWSqNM\nLpdjPZmhJx9cijYZDZyfj+P36+OKmiQLlan1mVqNEueCTpwmkWajwVoyS6lax+XxUO+dpq/6tBC2\nhquLoClocg+t23y/PC7210QCiGgovX1uhgQBm81B0O9laS7Mc0/M8XPPXOAjTy5gNG7/ndQ0jXq9\nTjKZpFgsHlsAHQd9xuNwiVwUxYcczGGhoWka5XKZVCpFpVLB7/cTjUanFiY5LIdNwO9M2ler1YHA\nHG4jOKkSs6Io5PN50uk07XZ7IjNAh9lLgEK/vD4t0bm2tsbv/M7v8Ed/9EdTOf4pYSY6Z0AikeBf\n/at/xeuvv048HkdVVfL5PP/oH/0jfumXfmkgMO12+1hcjna7TTKZJJPJ4PF4DpUmvH53jX/9+z/m\nz958b/BYxO8hHvJhMBooVJqspgsH9iXuRBAEzs3FiURPbx+mQYC4TcYttFAaFfK5HGvJ9EgCUxAE\n5qMhIuEQgmQkX2uRLNaRTyCQtRcxr42Iy4qg9sgXSjxIZLFZTCzGIzjsVto9hY1skUK9/fjtWxck\nBIMBELdWQ3b6Dubg/2+5mIgIaKD0BiGL7a8zurgchWEB1Gg0jhzgGQVdYOrCSe8J14WTy+U69DVJ\nv7alUqmBAIpGo2cmQb4zAR8MBnG5XHQ6nW2jnPSk/UkLzIPo9XrkcrlB/+1xZoCOgqqqyLI8WDma\nTCYHlb2TduzffPNN/uAP/oDXXnvtRI97ypiJzseZH/7wh3z/+9+nWq2yuLjIs88+20+Z37xJIpHg\nW9/61lh7P3eiaRqFQoFEIkGn0yEWixGJREa6QN64t85/fecet9fS/M17D8gUDzcy6bT3YRqEforc\nLbZRmmXyuRzriQxdebRz9HvdLMSj2OwOGl2V9Xxl5Jmpk2A3F7PaaHI+HsbvdaNqkCvXWM8UH+4z\nNJjOREn0yGwrj8vQaz2c1JcMfSGKgCSo9Lo7/v+YxeUo6AGeVCqFpmmDAM9REti9Xm9bibzRaCBJ\n0jZnblw3vcPH1ANImqYNBtCfxgQ5bB9GX61WqVQqdDodVFXFYDAQCoWYn5+fWjL7sHS73W39t/vN\nAD3s6w5/jdrtNmazGafTic/n2+YQn8QWJJ0f//jHvPPOO/zLf/kvT+R4p5SZ6Hyc2dzcxG634/U+\nvFIumUwOku8vv/zyYOf7pN78O50OyWSSdDqN2+0mHo8fqnxXqjW4tZri1lqa91aT3FpLcW8jS7vb\nw2m3s3T+9PZhGgSNuE3FLbRQmxXyuSxrhxCYVouZpYU4bo+nP66oVCdTGt+4oqOw08VcTWYJ+TxE\nQz6MJhOVrZ3zo0wmEIyT30l9Mgj91ZCC1F8NKXfReruk8gWxLzIRkQRQep33hfgUxOUotNttUqkU\n2WwWq9VKNBrF7/fv+obe6/W2bfFpNpvbBKbuYJ7kjcbwDEqLxTJIkE+rf3WnwBx2MIe/TvoN+vD5\nTzsBfxT0BL8+AzQSiRAMBg88f/1nSf/TbDYxmUyDr4/L5cJisWz7WdKDR8MhJEEQJi5Af/jDHyLL\nMv/8n//ziR3jDDATnTP2R+/9fO2110gmk4O5n5Pqh9I0jWKxSCKRoN1uE41GiUQiR7r7VRSVn23k\n+V9/fIdra0cLDo0bSdCIW1U8Ygu1tVUiT6TpjjgYXxJFzs3FCAVPblzRQViMEotbLmar2WQtmUGW\nFc7FwzhsVlpdmY1skWL1CAl0Qdza4X3GGGzvEUBVh8rju3yfJCOIEiIg0ncxBUHEarXi9bi4MBfh\nxacWT4W4PAhN06jVaqRSqcEIHYfDMSiVN5tNjEbjQw7maXKy9fMvFAq43W6i0Sgej2di57jXOs2D\nth3txUkm4CfB8AYqu91OJBLB7/ejquo2gdloNDAajdsEptVqPdT3aacA1ZmEAP3d3/1dnnzySV55\n5ZWxvu4ZYyY6Z4xOMpnk937v9/jRj37Eyy+/zHe+8x2ef/75iV2Mu93uwP10Op3E43HcbvdIx9PL\ndfpF/D/+LM+P3qvTPMFAiiRohIxdzJ0SQrtKo15jM5Onc4hxQ5Ggn7lYBLPFRrWzNa7oiKOdxkXU\nYyfitiCqMvliic10gfloAL/HhaJBplRl85jrQAdIhtPfzykZtoar6+XxNpq8RyuDIPU/HgGDCIrc\nw+l0EPJ7mQsHeXbIuZQkgXw+TzKZpNvtDnZjn9bB0sNlTb1ELgjCYKtMKBRiYWHhzJR/9RFAqVSK\narVKMBg8dgJb0zSazeY28XQcgXnQscaZgD9JFEWhUqmQy+XI5/O0220MBgMej4dgMIjb7cZms419\nE9XwIHo4+hD63fit3/otvvKVr/CZz3zm2K91hpmJzhmHR1EU/vRP/5QrV66QTCYHvZ+TdD/L5TKJ\nRIJGo0E0GiUajWI0GtE0jU6ns60frNVqDdyU4RBUsdHlf/njn/HHNxJjP0dJ0IhZVTxiG61VoZjP\nsZpIH0pguhx2FudjOF0u2orAZr461XFF0HcxzwWc2A0a1UqFRLaA2WRiLhLAbLZQrjd5kMqP7NQe\nGoMRQTg9Ds0gPY72fnp8v6H1Ur+cbjKI2Cxmgl4XS/EwH1yK87FLozuX3W6XdDpNOp3GZDIRi8Wm\nWv4dDq5Uq1VardagrKm7mMOukyzLg/49YND/eVoCLgehJ7BTqRTdbpdwOEwkEtk3AHOSAvMg9Okh\n6XT61O2AVxRl28ajWq32UGDMZrMNhtCXy+UTmQE6/AeOL0BfffVVfvu3f5tLly6N81TPGjPROeN4\nDLufH/nIR/j2t789MfdzWHwWCgWgXwbRL+KDLUcHlFh+ejfL//T/vMN68WiCThQgZlXwSm20ZoVS\nIc9qIkX7EA6kQRKJhQOEgkEks5VspUViiuOKdCJuG1G3BVFTKBRLFCo15sIB7HYrrY7MeqZA6QSF\n8NT6OYfL43r/Zbe5/7oeUUIQjUgmI363k4WQjw8/tchnXvwALz+5OLayuD6+qFAoTNy92nlTV61W\ntwUz9uqb2w+9/zCTyWCz2fbt/zyNDAdgJEka9B/udHplWcZms237Op2GkJKiKIMAVa/XGyTITyLB\nv3OlZq1WA9j2NTpoiYg+QSGdTlOr1cbiQB90zsfZgqTz1a9+lX/37/4dwWBwIud5RpiJzhnjYdzu\np373OzyEXlXVwUVcv8Bks1lqtRqRSIRYLDZy6bHTU/jf/vwuP/ivy/SUvX9kBwJzy8EsFfKsJdK0\nOqMHkQRBIB4JEouEMZgslJtd1rJluiOMOpokZqPIYsCFy9zvxUxlC7icNnxuF7KmkSnW2MwWT+x8\nJFFgKRbE57TSbne4u5mlzQm8SYsGBGmrPK5ulcd7ByX9BQSjGcFoweNyMh/286ELc3zquSe4/PwS\nRsPkWwL0N99kMkmz2SQcDh9r/I8uMIcFgS4wh525wwjMg45XrVZJpVKUSqX+xqOt+Zmnufw77GAW\ni0WKxSLdbhej0Thw4Nxu96kQmAehC+hMJoMgCGNLkMPuA+n1taPj2gq1cwaoLkBtNtuxz383jrIF\nSefTn/40b7zxxpkJd02ImeicMX4SiQQ/+MEPRnY/h/sv9SH0+o52/Y3O4XDsWYrr9Xr9rTupFBaL\nhXg8js/nG+mNazlT43/8v2/w5moRAY2YVcMntdDaVcqFPKubqUMJTACfx8XCXAy7oz+uaCNXpdo8\n/HD6cRN224h5rEiqTKFUptPtEfJ7kAwGSrX+fNOJlcl3wWw0cCEewGU1U2s0WdlM02y//7UWTNax\nO5393eMiaNr723vUET5n0YBgtGCxOwkFAjx5Ps4nLy3wpZcvEnBN5g3uMPR6vW3jZ/TxP3u9wWma\nRrvd3lYi73Q6WCyWba6Tvlls0ujl31QqNRYBPS70Fb/DJfJer7driXx4B/lZ6p/U2Zngj0QiIyfg\n90rbT2rj0W4MzwCVZXmkFojjMOoWJJ1PfvKTXL9+fSLncoaYic5HgWvXrvHiiy8O/v7SSy+xtLQE\nwOXLlx8aRvsbv/EbfO973+PKlSu8+uqrEzsv3f187bXXSKVSfPOb3+SjH/0oN2/e5Pr163zjG9+g\n1+vt2n95lFKb7pwkEgmq1SrhcJhYLHbgRUfTNP76TpJ33n2Pd++tcWctwf3NzEgCzGI2ceHcHG63\nhx4i6VKDdKl26HMfNztdzFKlhttpx2az0Gz3tzRV6q2DX2iMOG1mzkcC2MwGipUaDzZ3HwtlMho4\nf26eZKlJo33E2aKC0BeYg+09I5TH338yGEyIRjMWq50L5xf4zHNP8EsvP8GlhdDRzucEaTabg/FF\nLpeLaDSK2WzeVtbsdrtYLJaHHMzTgD4/M5VKIQjCQEBPuv9zVIF5UDVluPyr909GIpFT0T85Kvsl\n4EfpVR0e5zQNdjq4egvBpNzngwSopml86lOfmonOmeg8+1y9epXvfve73L9/f/Dvy5cvA30B6vF4\nBgJUx+v14vP5eO211wYfO240TePOnTtcv36d69ev8zd/8zfcu3cPi8XC0tISn/zkJ/kn/+SfTGwU\niSzLpNNpkskkZrOZeDyO3+8f+ViyorCymeHWgwR31pLcWU1wezWJaDASCgYQDCYKtTbrUx5XpDPs\nYparNQTA5bSjaJAqVEjkTn5klM9pI+yxg9Kj2myTzJVRd7mWxKMhYtEYJpudckthLVel0+uhVHOj\nHUiU+v2XAKqC1muj9Q7hLAsiSEYMFjvRSIRPPPcBPv/iBT7xVJxSse++AcRisX3dw9PAsHCqVCqU\nSiVarRaapuFyuQb9h5Nyf8ZNq9UaCGi73U40GsXn8x27/3P466Q7vd1ud1t/uMvlOvakAL1/MpVK\nDTbwnOYJBDtRVZVcLje4kdeDNA6HA7fbfap6VfdieAao0Wgc/A5MShQPC1BdO9Xrdf7hP/yH/MVf\n/MVEjnmGmInOR4HPfe5z/OQnP3no8b2czNdff52vfe1rEz0nTdP4x//4H/OBD3yAF154geeff55w\nOIyiKPzJn/wJV65cIZ1O861vfYuvfe1rE92DXKvV2NzcpFwuD9zPo7o6f3ljmd/+wX9iI1ce81mO\njskgshh04jZLtJpNut0eNqsFySBRrDZZS+en0i8a9buJB1wImkYyV2QzU3joY2xWCwtzcXyBAB3N\nwGaxTqm+XSBqmoYmd1CblYcPMtjeo5fH26CMHuDSAEE0IP7/7Z17eJP13cbvHNv0lGPTJmlL20A5\nlGNpUUQFtVVUROUgOpQNRJjuHbxemzLdUJlujG5TpvNVWpThdBtSTwgTJCjMzSm0oZRSBNoUaJO0\nJT0nTdMcnveP7nn2JE3PSZPA73Ndu7Yl2jwJJblz/77f+xZEI0Eiw8wp43FHzgTclTse8gGOydnu\noVgshlqtHnJ8V7BgO060cGI7c2zhxBY/Ho9nVO1BocDf/KdarUZcXNygfwa0wGQvQ/X09EAkEnk5\nc8EWgg6HgxmBoMVPOH2J8Z3ppUcu6NcpPj4eLpcLFosFNpstIh1cdgZoTEwMM0IQjCW29vZ2lJeX\no6ysDMeOHUN9fT3Onj0b8MeJMIjovBrwJzp1Oh1yc3MhkUj6/POFhYXIycmBXq/H008/PVaX2Qej\n0chsvl933XVYs2YNZsyYEbQPcrfbjcbGRhiNRvD5fKSkpIxoa9bucOKVkqN467NvxsTlTBKLoBKL\nwKPcsNmscLlc4HK4cIGDhtZOdNhCMy+aniSDUhoPt8uFyw1X0NTiLRL5PC7Sx6UgMTEJ4EehqdOB\n+uYOrxNuiqJ6j7y5XHD5QnCEInAF0XC2NfSKTi7XO1yd8tMv3g8UBXC4XIAvRHRsPDLTUlGQNxmL\n8rIwOVUxoudMZzeaTCZYrdYxmz2kZ+bYwsntdnsJp6Ec/QL/bQ+it8fVavWwTgFCDT3/aTKZ0N3d\nzbiH0dHRXrOqoRSYg0GLn6amJub4eqhz6IHCV2B2d3d7jVzQM73+COUGfCCgSwwaGhrQ3NzMnAKM\n9M+gu7sblZWVKCsrg16vx5kzZxAdHY2cnBzk5eVh9uzZmDBhQsScMAQRIjqvBvyJTnpucyA2bdqE\ngoKCoB2xD5VQuJ9WqxVGoxEtLS1ITEyERqMZdmh15UUzninej9O15oBdl5DPQ7oiHuJoLlwOBzwU\nBT6fB5eHgrm5HSZLaBzW3s1yBWTxMXA4HKg1NqGt07thKFmpQIpGg6iYOHT2eHCxqQPdPnOxFOUG\nPJ7/iEdu79G2xwXK3dObe+nqAeXuAdwjXGjiCcATiqBMTMSNOVOwaM5ELJg6Djxe4J0MOnvSbDaD\ny+VCrVYPqbpvMDwej9fMHL2U4etgjtal9HUP5XI54x5GAhRFwWq1oq6uDhaLBW63m6nTFIvFzOsU\nzh/0vgHuwdrgZ8c50bmq7FSC0SyNBXMDfiygo/joDFCpVMokEPh7PVwuF86ePQu9Xg+9Xo9Tp07B\n4/FgxowZyMvLw5w5czB16tSQf7EJU4jovBrwJzoHOnKXyWRYtmwZCgsLIZFIgrpMNFxo97OkpARz\n5swZE/ezqakJRqMRXC4XGo0GiYmJft1Pdmbhfzftbfi80og9X1/oI7CGQpI4BiqxCHzKBYry9LqA\nXA5zTO4MUaySUMCHVq2AOCYK1i47DHUNXks9MaJoZKaPg0QqhYPiwdjaBUtH//mdlMcDd6cFlCMw\nnfAUAA6HCw4/CvFiMaZN1GLxDdNwV+54SOPGvvGmq6sLJpMJV65cgVgshkajGdLmMjtWhv6d8u3Y\nHosAcY/HE9btRwNt27PnCltaWtDU1IS4uLiQuIejwXeDX6lUQqVSDfvL8Ej6yAPFaDbgwwH2EtjL\nL7+M2NhY5Ofnw2634+TJk9Dr9bDZbJgyZQojMGfNmhW0iKarECI6rwZ8BabBYMD69eu9bmtra4NE\nIoFer0dmZiYkEgnWr1+P9evXM5vv4QTtfu7YsQONjY1M7mcwXRibzcYEzysUCshkMrhcLuaDzuFw\nMO6AbxB9/ZU2bN71d3xZXt3vzxfwuchIjIckmo8EkRACPheWNis67Q5camhGZwhjleJEUchUyRET\nJUBbhxU1dQ3MZjmXy0F6agqSlEpwhCJcsfWg7kqH36Ugf3h6uuHuaBpaNNFA8AQQimKRlqLGnXNn\n4L65kzFRIx/dzwwwFEUx2Zk2m83r+J0Oxma3Z3k8HsTFxXkJzFC39IS6/YgWmOxRAl+BOZCD6ese\nyuVyxj2MFFwul9cMrkql8juDS3fat7e3MwKTx+N5vU6BroscKvTxtcViGfXx9VhAURSMRiNzRK7X\n69Hd3Y3GxkZ0d3ejoKAAGzZswKxZs0J9qZEMEZ2RTklJCR577DEUFxczy0EGgwHbtm3zikqaPXs2\nysrKAPzX7TQYDCGd6RwqRqMRO3fuRElJCa677jo8+uijmD59esDevNjHmexaP4/HAz6fD6VSiZSU\nlEGbjgDg03+fwZZ3DsLSbkOSOAYTUxORmSxFijwBybJ4aFOSkalRIkrY++Hxr1Pn8cwbe2EwNgXk\nuQwVWUIMxiXJIOBx0NzaAYOxEZ7/zKcmyqRIS01BdFw8rE7g0pUOdI2g752iKLhtLaD8LQQN9O8B\n4HB44AqjIRYnIDtdg/vnZeOeG6YhJiYyers9Hg/TntXS0sL8LkkkEmbrd6Ds2XAh2O1H/S2vBCrO\niXZwzWZzn/nPSKG7u5tpcOJyuYiJiWEccnqcgH6tYmNjw07U+RshCGaF5VCxWCxeAvPy5ctISUlh\nHMy8vDwkJSUBADo6OvDxxx/jb3/7G+bOnYvNmzeH7LojHCI6CZFDINxPdtNRR0cHrFYrPB5Pv8eZ\nXV1dMBqNsFgskMvl0Gg0g25rttu60dZpQ0qidEizhA6nC6+XHMbre3VwBCmcXR4vgiI+GlECPlo6\nbKj7z2Z5VJQQ2vQ0SGRyuDgCmFq70NRuG+Sn9YWiPKDcLsDVO5/pcTqAni4M7e2AAw5fgNi4eEzM\nTMfyW3Nxz5wsiGN7hQEdf2U2m8Hn86HRaELaO+4LuzuaPiIH4OVgcrlcNDY2wmKxQCKRQK1Wh/xD\ndzjQx45ms7mPgztUBhOY7BnMYLwudIC+2WwGj8cbNEA/lHg8Hi+nl+4jj46Ohsvlgt1uh0QiYfIz\nI+n3iO6AH8sN+I6ODpSXl0Ov16OsrAzV1dWQyWSMwMzNzcW4ceOG9DpSFBUxr3cYQkQnYWDYwfPA\n4MHyJSUlzDF+MF3U+vp6ZvazP/eTPnqi37T9NR0NtSWDdkzq6+vh8Xig0WgC/oFlMDXh2f/bi3+e\nOj/qn5WWJEWyNB5ulxt1jVfQ2NwODocDdVIixGIxhKI42CgejC02uNzD2Qj3FpeUywnK6ehd/vHB\n3/tyb2QRD4KoGKiTlVh4/Ux877aZ0KpkQ3p8tvMWisUXt9vNCEv6SwuAIVf7URTFbF53dXUhOTmZ\nCW+PFIbSfjSUSs2xbDzyhR2BFartcZqR9JHTyy9msxnt7e1QKBRITk6OqBGCYG3Ad3d3o6KignEx\nq6qqIBKJMHv2bEZkZmVlhc2X1msMIjoJ/eMbPA8MHCyv1+thMBiwbNkyFBUVITc3N+jzoi6XC4cO\nHcJrr72GS5cuITs7Gy0tLairq8O2bduQnp7OvHmPtOnIF7vdDpPJhKamJkilUqSkpARU+Hx4tBQv\nvvUxrrQNrdmIy+ndLJcn9G6WXzQ2obXTBqlYjPRxKYiNF8PmAi5bOtFpH3qlJwWA6nGActoHFJe+\n0J/bFNXbO88VREEskWD2lAlYc9dc3JSdNuoPd/bii9Pp7HfmbTTQApMWA/SXFlpg0l9aRvo7Rde3\nNjQ0gM/nM9vvkfRhSIu3xsZGREVFISoqCj09PV7zz6EWmAPhe/SrUCigUqmC9kXGXx85Pdc70rrI\nq2GEgN6Ap7/IDHUD3uVyoaqqijkir6ioAADMmDEDubm5zCZ5pGzSXwMQ0UkYGN8lpYGC5dkRTDqd\nLkes7yEAACAASURBVOhu50svvYRvv/0Wly9fhlKpxPjx49He3o6amhpMnToVa9euDejspy/0UZHR\naITT6YRarUZycnJA3M92axe27v4U7x36N3z//gn5PGg1icxm+UVjE2JFUVAp5RCJ5fBwhWjosMPU\nMvJNcQ4/ChyeABwOB5TbBcrVe2ROuRygnA54XA5Qrh7Aw9qu5/QGr4tiYpGZpsHy267DAzdPRUJM\ncD/8HA4HzGYzGhoaEBcXB7VaPewjx/5ccVpY+nObAgm7dlAqlUKtVgc8NidQ+Mt3FAqFEAqFjOBU\nKpVQq9URtdVLt++YzWY4HA5mg3+kLnR/dZH0SUswFsfYLnQkxhcB3hvwTU1NaG5uxvLlyyESiVBd\nXc04mCdPnoTdbkd2djbjYM6cOXPY2/6EMYWITsLA+IrOgYLl2dvwOp0Ohw8fHjQrdDQcOXIEEyZM\nQGpqap9jdXr288qVK0zuZzCPYbu7u2EymdDY2AiJRIKUlJSAHHWVfXcRLxR/iCghD1p1IuTiOMRG\nRyFZLoZGKYM6UQaVQgIelwur1YovTl7A20cqcLquZUSPx+HywRFEgcMZXFxxQCFeyIEqXoDp6Uqs\nW3QDMpKlI3rcQEC7ViaTCR0dHYzw8XV8nE6n1xG5zWYDl8v1misMlCs+XNixOXa7nTl+D1V0kT+B\nyU5w8Be/41v9GAwXOtiwnbehzH/66213uVx9etvH8jWgxRtdAhDM9p1AQ1EU6uvrcfjwYezbtw9n\nzpxhBOadd96J66+/HrNnz4ZYLA71pRKGBxGdhIHpL+/TX7D8WIvOoVBfX4+dO3figw8+wPXXX481\na9YE1f2kZ/aMRiMcDgfjfgbSzRhsrjA+Ph7fmTvw+oHj+OeZS0P7oRwuuIIocLj9XCdFQSTkIU0R\nj9naZCzMycTcSSlh6cQB3u1THo+H2fi12+19Nn5jYmLC8oOYFj5ms3lMoot8ZzDtdvuo8x3pzeuG\nhgam/SgQ3eljCbs9iI7+EYlEfWo12QIznPrI6RB9s9mM5uZmZgEp1DWubJqampgjcr1ej7q6OqSl\npTEOZk5ODmpqavCXv/wFX331FQoKCvDb3/42on6PCACI6CQMBlt0DhYszxaiJSUlYRXJ5HK5cPDg\nQRQVFY2Z++lwOBj3MyEhYciB4WzYrhz72JctMAdaXDlZY8YfP/0GX5wy9PsY7KN0Gj4XSJbEYLJG\nimmqOEyScaFSKqDRaML22Jcdit3Z2QmbzQY+nw+RSASn04muri4mgSCSFi6A3sxDWjTQveOjeQ7+\nGmqCGSAeye1HdCh9e3s7Wlpa0NXVBYqiEB8fz3TYh0uI/mDQObINDQ3o6OhAYmIiVCrVmPant7e3\nM0HrZWVlqKmpgUKh8Ioq8j29YuN0OnHixAnccMMNY3bNhIBBRCdhYNiis79geXbwfGlpKdatW4fC\nwkLk5+eHZfC8r/v56KOPYtq0aUF1P1tbW1FfXw+73c64n75OSE9Pj9dcIR30zI5yGumx75lLjfjj\np9/ikP4C031OH6VzORxIY6MwQSXBDZNScM+cCUhL9D62oj+sjEYjuru7oVKp/D6HsYIWTfTr1dXV\nBYFA0MfBZP+Z+rrQ9NF1uDhSQ4HdO86eOxxI9Iy1wBzKcwjX9qOenh4maN13nID9WrndbmZ5p6en\nh1neiaQUArfbzcyw0tvjgX4Odrvda5P87NmziImJ8doknzBhQkQ5lr6JLmz8pbeMVaJLhEBEJ6F/\n/AXP+wuW9w2ez8zMhMFgCKt6TX/4up+rVq3C0qVLg+q+9PT0wGw2w2QyQSAQICYmBj09PbDb7RAI\nBF6zcsFoEjlvtKD4s1K02p1IVYhxx6xMXDdRM6zHoZ+D2WxGbGwsNBpNULMC6WNfdnC/UCj0EuPD\nfa3o1h2z2QyRSASNRhPWbSn+YDcHRUVFMe4nOzOUXYFIv15DKTkYK3zbj1Qq1Zht8AeqLpJ+Do2N\njeDz+cxzCMf8z/7wN8OamJg4rLEgp9OJM2fOeG2Sc7lczJw5kxGY2dnZYV+IMBA6nQ6bNm1iPu/Y\n+EtvATDmiS5hDhGdBAIA1NXV4a233gq4++lb6UfnFdLbvt3d3XA6ndBoNFCr1RHlutGLO0ajEZ2d\nnSMKDPdlsLlCdvVooJ5DZ2cnjEYj2trakJiYGDFb12xnvLm5GVarFW63G3FxcUhKSoJSqQwrgTkY\nvhv8gWw/osdU2AKTz+d7CcxAvFY2mw1msxlXrlxBQkJCxIW3A70xWPQMa2xsLGQyGRITE72caI/H\ngwsXLnhtknd3d2Pq1KmMwJwxY8ZVuUk+lD0HOr2lubl5TBNdIgAiOgkENrT7uWPHDjQ3N+ORRx4Z\nsvvJ3mClP+B6enoGbVxxOp2McxgTExN05zAYuFwuNDY2wmQyDak1iB0eTr9W9FEm+4h8LI996a1r\nk8kEAFCr1WHTWOPPlaOdcbZooijK6+g61GMQI4Eegxhp+xE7/opOJxjrPnLf8PZQzE6OFnoO99Ch\nQ9iyZQsmT54MiUTCfEHLysryWvRJSEgI9SWPCf2JTn+LtG1tbWG3XBtihvSXLnK9cELY4zsfU1RU\nBACoqanx+5dzsEak0cLn87Fo0SIsWrQIdXV12LlzJ2677TbMnTsXa9asYdxPupqRx+MxwsnpdCIm\nJgbx8fGQSqVIS0sb0nyUQCBAWloaUlNTGefw/PnzSE5OhlqtDotZt8GghaZGo4HVaoXRaGQWBNRq\nNbhcrpcQ8A0Pp6ONQim06WNFlUrFFAAcP34cYrF4REtgI2UggRkfHw+lUtmvaOJwOFAqlVAqlcwY\nhF6vh0gkgkqlglwuD/v5OQ6HA4VCAYVCwXyZqays7G3U8vki0F+AP/17lZGREZJ0Ag6HA6lUCqlU\nysxOnj9/Hk6nM6xmWP3R2NjILPno9XoYjUZMmTIFKpUKBoMBra2tWLZsGVauXAmtVhvqyyVchRCn\nkxAUfBuPdDodMjMzkZmZieXLl2P9+vV9Wo8GakQKFl1dXdi5cyfeeusttLe3M4sEd999N9atW8c4\nc4F0k+i2GrPZjOjo6IiZOaTHCeht3+bmZtjtdnC5XEgkEiQnJ0MikYRlO40/6AUq39rKQAkGfxv3\ngy1EjeQ5dHZ2wmQyobW1NeitO8HCZrPh0qVLsFgs4HK54HA4Xg6mWCwOWb7qUGHPsAoEgpDPf7a1\ntTGb5Hq9HjU1NVAqlcjLy2P+k5LiHY1mtVrxySef4NChQ9i9e3dE/D0OJEM5XqfTW9jH6+GW6BIi\niNNJCB35+fnIzMxk/r/BYGAWkOhlJF/YS03B5pNPPsGvf/1ruN1uZGdnY82aNVCr1dDr9di/fz+6\nurrQ2dmJcePGBfyNVyAQIDU1Fampqejo6EB9fb2X+xkOW7L9jROIRCLG7R03bhyioqIY57C2tpZp\n3ImE4zgOhwO5XA65XM58ESgvL2cWd4bjHNICkx1Kz54rHMjBHO1zoB+Dbt25cOECXC4X47qF2/G7\nv7pIiqIQFxeH9PR0cLlctLW1obOzE0KhEDKZLCLmcIVCIdLS0pCWlsbMsNbW1kIsFkOlUkEikQRN\nxHV1deHUqVOMg/ndd98hPj6e2SR/8MEHodVqB/19jouLw8qVK7Fy5cqgXGekQae3rFixAqWlpQB6\nP8toU8TfbYSBIU7nNcrp06exdu1afPnll0F7Q+/vW2NBQQG2bdvWZ9NvoEakQNPW1gahUOj3ubtc\nLvz9739HcXExM/u5bNmyoM5ssecmhUIhNBoN5HL5mDgNdKUf+yiTPU5AH/0OJoZ9Y4siceYQAOMc\ntrS0MCME7D97f4srYz1XOBjs+lA6uH2sfp/YUBTlJTA7OjqG3Ed+NbQf0ZFqZrM5YNmZTqcTlZWV\njIN5+vRp8Hg8r03yKVOmROwm+UCxRf5GtAI1luUv0WWw9JZISnQZA8giEcE/brcbu3btwhNPPIFD\nhw7hlltuYY5OA7mR6E906vV67NmzZ8CBa3+NSKGCnv388MMPccMNN2DNmjWYOnVqUD+86Y3r1tZW\nKJVKaDSaUW2Ns/HtjGbPq7IXokZ7xNzT0wOTycR0pms0mqA6PcHA4/GgoaEB9fX16OnpgUAggMfj\nYRxMdq1muD4vemHEZDKhra3Nr4gO5GMFq4/8amg/8s3OHMr8p9vtxvnz51FWVoaTJ0/i1KlTcDgc\nXpvk06dPD9j7Q6gZKLaovxGtUIxlEfxCRCfBP42NjdixYwc+//xz/OAHP8DatWvx7bff4q9//StW\nrFiBuXPnBuRx/InOwsJCvy7mYI1IoYZ2P4uKitDS0sLkfgbT/WTXPQ5la9wXtstEO3Nut9vLwQx2\npZ+/6KVwGSHwxeVy9VnyoQP8RSIRuru70dLSwixHRZqIpkWPyWQatXMYqj5y3xlWuVwOlUoVcS1U\nDoeDyf88dOgQUlJSsHz5clgsFuaIXK/Xo62tDRMnTvTaJI+05zpc+jsho13OdevWYdOmTdBqtVi3\nbh10Oh0Rm+EBmekk+Ke8vBytra3YsWMHXn31Vaxduxbnzp2DSqVCenp60B63qKiIEZz0GwU9M5Ob\nm8vMgNbU1GD9+vVBu46RwOfzsXjxYixevJhxP2+99dagup88Hg9qtRpqtdprazwxMREajcbLlabn\n5NiZobTATEhIQGJiIjIzM8f8aJLD4UAikUAikTCpABUVFRAIBMwIQSjcKlpgsmcw2Q1RmZmZfh1M\nOi7HZDLh3LlzAckvHSt4PB7jrnV3d8NsNqOsrAyxsbGMc+jvd5gdgUUvkdHzvQkJCZDJZEhPTx+T\njW3fGVaLxYKampqwaz8ajKioKAiFQlgsFlitVvz1r3/Fc889h7i4OBQUFGDp0qX4+c9/DoVCEepL\nDRvYJoRer8eKFSuY/03/9zW+yBMREKfzGsNut+OVV16BVqvF/Pnz8cgjj6CkpASvvPIK0tPTkZGR\nAZVKhaysLFAUNWIh5Tsfo9PpsHz5cshkMrS0tGDv3r3Iz8/vMzPj24gUzoTS/ayrq4Pb7UZUVBRc\nLhcoimKOMePj44PiMgUS9txksEPb+8t29N0iH6749c0vVavVY9a4Eyjo43ej0chkTioUCq/N++7u\nbiaPlv5PuDnVvpvj4fZn0drayriXdLtNcnKyVye5SqXCsWPH8M477+DkyZPYtGkTHnrooVBf+pjT\nn9NJo9frodPp+nxGhNNY1jUKOV4n9OXUqVN4+eWXsXXrVqjVajz88MPQarWQy+XQaDSoq6uDWCzG\n6tWrYbFY4HQ6oVKpmH9/NEL0auby5cvM7Oe8efPw6KOPIjs7e9Svlcfj8ao+7OzsZBYxoqOj0dXV\nBavVyrifkbDly4Y+8jUajQBGH9ruT2Cysx1H03E/EDabDSaTCRaLBTKZDBqNJiJii9jd7e3t7czv\nF4/Hg0KhQGpqaljPrPqD3X4kkUiYNIWxeg42m81rk/zcuXOIj49Hbm4uIzC1Wu2A19PV1YXm5mak\npqaOyTWHE4OJTvaIVklJCQCE7VjWNQYRnYS+nD17FkePHsXjjz8OAHjiiSdw4cIFPPDAA0hMTER1\ndTUWL16MrKwsrF+/HiqVCi+88AKqq6sxfvx4r59FBGhfXC4XDhw4gOLiYrS2tjKtR0NxP91uN6xW\nq9cROR0lM9CmLx2VYzQaQVEUNBoNlEpl2Lg8Q8Vut8NoNOLKlSuQSqXQaDQDzq/RApN+vejwcLaD\nOdbZjh6Ph9ngD7fWoOH0kdPH742NjYiLi4NarY64Ji12DutI2o+GQk9PDyorKxmBWVlZCYFAgFmz\nZjEu5uTJk8Oi+Wo4DLRB7m9bvKSkBBKJJCBH3L6ikx7BAuD1mDqdDjKZDJmZmZBIJF6tQYSQQEQn\nYXD++Mc/YtOmTfjggw9w+fJleDwe/PCHPwQAzJs3DyUlJXA4HHjssccgk8kwYcIEbNy4EYmJiczP\n6OrqAoCQuGy+b46DvfkF8s1xMAZyP61WK5qamiAQCBjBBIARmPQR+XA/rLq6umAymXDlyhXIZDKk\npKREVD0fAK+6R4fDwRyVshdXwkFgDgY7tig2NnZMK1D9LUXx+fxhB9PTi2Amkwnt7e1QKpVQq9UR\n17tNj0KYzWa/7UdDwe1249y5c8wmeXl5OZxOJ6ZNm+a1SR5uowfDZaANcqBviQc9LrBs2TIUFRUh\nNzd3xMJvoNii/ka0Im0s6yqGiE5CX9jupNvtRk9PD44dO4aFCxfid7/7HWpra/HKK6/g5ZdfRlVV\nFd555x389a9/xf79+/Hb3/4WTzzxBCZNmgSPx4Pc3Fw88MAD2LdvH8rKyvD973/fKxA+2Pi2Hg32\n5hfIN8fh0NHRgTfeeAN//vOf0dnZCYFAAIFAgAcffBAPPvggEhISEBcXF1A3hF6yMBqNcLvdUKvV\nSEpKigjHhV1/2Nraivb2djidTkRHR0OpVCIpKQlxcXFhJTAHwnduMtDCzV9dpO/MaiCOyNn99RRF\nMcIt0vIgu7q6YDab0dTUxCxC+QpQiqJw8eJFr03yjo4OTJo0iWnzycnJiYgRipEw0BG377Y4e5ZS\np9ORhZ5rF7K9TugL+4OHx+NBJBJh4cKFAIC77roLb775JrZs2YJ33nkHu3fvRldXFwwGA1auXAm1\nWo2bbroJ1dXVuOeee/D73/8e06dPx8WLF5GSkjKmghPo23q0Z88eFBQUAAAyMzOh0+m8ROVg9wea\nt99+G//3f/8HgUCAGTNmYMOGDVCpVPjmm2+wb98+mM1mtLe396miCwRcLpfp6WZ3jQ/l2Hos6a9f\nm3Z8MzIyEBcXBw6Hg7a2NhiNRlRVVTGVlZHgKnE4HIjFYojFYmYRrKqqChwOByqValiOGz2Cwc5Z\nZTu+48aNC5rj69tfbzabceLEiYiLkIqJiYFWq0VmZiba2trwwQcfYPv27Zg9ezakUilqa2vR2NiI\njIwM5OXl4a677sJzzz0HmUwW6ksPC3y3xdva2rxem+bm5lBdGiECIKKTwDBlyhS8+uqrcDgcmD17\nNm699VYcOXIEly5dwo9+9CNUV1ejo6MDjz32GHJyclBVVYW///3vuHjxImpra3H06FE8+OCDuOee\ne7x+7ljNfg725jfWb4733XcfHn744T4RLvfccw+2bNmCAwcOYMuWLWhraxvW7OdwEYlEzIcsHTHj\ndDqhVquRnJw8Zu4nLTDZM6tsgZmWljaggymVSiGVSuF0OtHY2IhTp04hKipqTNubRgs7BosehaC/\nDKjVasTHxzPPg71ERr9eABiBmZqaGjLHVyQSITMzExkZGUyE1HfffcfMTYbz8XtLS4vXJvnFixeR\nlZUFHo+HsrIyCAQC/M///A8eeOABZpaQ8F9oF/Pw4cPQ6XQhvhpCpEFEJ4GBHrWIiorCkiVLAADZ\n2dlYvnw5JBIJDhw4AJvNhlmzZqG6uhomkwlisRh8Ph//+7//C6lUit/85jeYMWMG0tLSmJ8bCWIg\nGAzkjPD5fNx777249957cfnyZRQXF+OWW27BjTfeiDVr1gRk890XDoeDxMREJCYmoru7mxE8EokE\nGo0moH3pvo4cPbMaCMEkEAiQkpKClJQUpr3pwoULfvNLw5mYmBiMHz8eWq0WFosFFy5cQFdXF6Ki\nouDxeAD89/Wit+HDbTyCw+EwXwZcLheamppw5syZEc9NBhqr1Yry8nJmDvP8+fMQi8XMJvmqVauQ\nkZHh9XfNZDLhvffew5NPPoldu3aF7NrDEfa2uFwuh8FggEQiQUtLC4DeL/ZyuTyUl0gIc4joJDD4\nEzl04DIATJgwAYmJieBwOPj3v/+N7u5uKJVKpKWl4bbbbgMAfPPNN+jq6oLb7UZxcTG+/fZb3Hrr\nrXjkkUe8fm4w3M/B3vzC9c0xLS0NL774Ip5//vk+7ueyZcuCsqAVHR3NOFUtLS2ora1llnaSk5OH\nNac3mMBMSUlBfHx8UBy5+Ph4TJo0iZk3rKqqAoCw3uD37SOng/zj4uIgk8nQ09ODtrY2iEQiJCUl\nRYyLS2eVqtVqr5EOsVgMtVoNsVgc1OfhcDj6bJILhULk5OQgLy8Pzz//PCZNmjSoCFar1XjqqaeC\ndp2RCL1BTtdQAv8t8cjNzUVpaSkAwGAwkJxMwoAQ0UkYMnPmzAHQKzJEIhEkEgkqKioY8fb1119j\nzpw5iI+Px09+8hM4HA6sWrUKb775JpKTk1FQUACXywU+nx+UD58VK1b4ffOj3zD7uz9cYLufly5d\nws6dO7FgwYKgu59yuRxyuZzZti4tLUV8fDxSUlL65Bv2JzDpI/KUlJSQOHLseUP62Lq2thYymYw5\ntg4F7LrI9vZ2ryrShIQEKJVKjB8/3q/IpzvTaRc3mAH6gYY90tHa2or6+nqv4/fRxha53W6cPXsW\ner2e6SR3uVyYPn068vLysHHjRkybNi0i2on6o7/YIr1ej9mzZzPiLz8/Hzt27PAbZTQSSkpKUFpa\nipKSEmaD/LbbbkNZWRlycnKYbXGtVstcX2lpKXQ6HSQSCYksIgwI2V4nDBlfd9LpdOIf//gHdu7c\nCYvFAh6Ph+XLl2PevHnYuHEj7HY7nnzySfT09OBPf/oTPvvsMxw8eBCXLl2CWCzGgw8+OODPHwx/\n8RpFRUXIzMyEwWBg3nh9W4987w9nXC4X9u/fj+Li4qC7nzQURTFCwWq1MsfgNpsNALxyQ8PxyJeG\nnZlJlxwM18UdDhRFobu72yuqyOl0MnWRI+26Z3emezyeiEoiYMOOLeJyuUNeoqIoCgaDwWuT3Gq1\nYvLkyUxU0axZsyIuGmwgBootYm+P6/V6xoH0jTIiEMYYEplECB6+AvHEiRNQKBTMYsEvfvELbNy4\nEWazGU899RTWrFmD9evX48c//jHOnj0LrVaL3/3ud34dKBI67x/a/fzoo49w0003Yc2aNZgyZUpA\nXqv+llZEIhEoioLVamVmMYN9TBoMHA4HTCYTGhsbER8fD41GM6rn4dtH3tHRAYfD0UdgBtppo7fG\n6bifsTi2DgbsPNmGhgYkJCTglltuAZfLhclkQllZGSMym5qaoNVqmTnM3NxcSKXSUD+FoDNYMw8A\nLzfSN8qIQBhjiOgkBB9/AtFut2Pt2rXg8Xh44IEHcOHCBab56O2338aGDRuQnp4OAOju7sYXX3yB\n/fv3Y+HChVi8eLHXzzp79iwmTZoUcR+qwcTpdOLAgQMoKipCe3s70/k+VPfTV2BarVav5iN/wfQU\nRTGRRVarlTnKjrTjy5E+D1+B6dtHHh8fH9Cmm8Gg3WiTyQSr1RpREVJsLBYLSkpKsHfvXtTV1cHl\ncmHSpEm46aabGIHJruG9lhhMdOp0OuTm5jIb9oWFhcjJySE5mYRQQUQnIbR8/fXXOH78OO644w5M\nmjQJf/rTn2A2m/Hss88y/8yWLVvQ1NSE6dOn4/Dhw5g+fTqee+45AMDBgwexbds2PPPMM7j99ttD\n9TTCFoqimM33jz/+2K/76XQ6+zT5eDweRlj2V605EE6nE2azGWazGTExMWPatBNInE4nGhoaYDab\nvaKXnE4nE+vU3t4Ou93uVRcpFosRFRUVNs+XjpAym80QCARQq9VQKBRht0TV2dnJbJLr9XpcuHAB\nUqmUcTAnTpyI48eP491330VsbCyeeOIJLFq0KNSXHTIGE530DKe/2+mwdgJhDCGikxAa/LmfnZ2d\n2LVrFzIyMpgcz+rqahQWFmLdunXIzc0FAOTl5eGrr75CUVERCgsLUVhYiO9973uD/vxg0t/gPptA\nDfGPFKfTiY8//hh/+MMf0NDQgPT0dBiNRkRFRWHHjh0Qi8UjEpgDQTft1NfXo7OzE8nJyVCr1RHl\nftICs6mpCRaLBQ6HA0KhEHK5HDKZDAkJCRCJRGEjMAfDarXCZDKhubkZcrkcarU6JK053d3dOH36\nNBNVdObMGURHRzOb5Hl5eZg4cWK/v4vnz59HdXU17rrrrjG+8vBhMNHJvp8dZVRYWAiJRBIRM+uE\nqwrSSEQIDf4+oOPj47FhwwYmf5CuZmR/6OzatQtSqRTR0dFYsGAB3n33XSgUCuZ+m83mVec3VuKz\npaWFyTClB/d9KSoqQklJSR8xGmzq6uqwdetWlJeXo6enB9nZ2SgoKIDJZEJTUxPmzp0LLpeL1NTU\noGy+0007LpcLDQ0NKC8vR3R0NDQaDWQyWViJNZfL5dV+ZLPZwOPxGPcyNTUVUVFRuHLlCoxGI7q7\nu8HhcBAdHR1Wz2Mg4uLikJWVxdSgXrhwAS6XK6hLVC6Xi9kk1+v1OHXqFDweD2bMmIG8vDw8+eST\nmDp16rC+jGRlZSErKyvg1xrJ0CkcAJh8TBp/UUYEQjhCnE7CmNCfQHzyySdx+fJl3Hnnndi+fTue\neeYZrFy5Eps3b4ZCocDGjRsBAI2NjXj55ZehUqmQlZUVMgekPyeTPdA/lrS3t6OyshIzZ87ss73r\ndDqZzfeOjg6sWrUKS5YsCXrsDu1+dnR0ICkpCWq1esxnDfur12Qv+QzWR26z2WAymWCxWCCTyZiA\n9kiju7sbZrMZjY2NiIuLg1qtHvE4hMfjQU1NjVejj81mw5QpU7w2ySMl2qk/ioqKAPQKOH9H2CUl\nJZBIJF7zk/5uGyn+kjnYKRwGgwHbtm3z+pJLRxkZDAYy00kIBeR4nRAZ/Pvf/8a+ffuwZMkS5OXl\nwWazYfny5XjzzTeZZqOjR49i69atmDx5Mpqbm0FRFN58880+IiCY7qfv4D6bcB7ipygKFy9exFtv\nvdXv7GcwoCNyTCYTBAIBNBoNFApFwB/T4/H0EZgcDgdxcXHMWMFo+shp19BoNMLlcjGRRcGKXgoW\nFEWhvb0dRqMRnZ2dUCqVUKvV/S5AURQFo9HIzGCWlZXBYrFg/PjxjMCcPXv2VVcVqdPpGOdw+fLl\nWL9+vdd8pF6vh8FgwLJly1BUVMSMBvneRvIqCdcY5HidEN7QAnHu3LmYO3cuc/vRo0cRFxfHauWV\nuAAAFmRJREFUCE63243S0lLcdNNN2LRpEwQCAa6//nqcPn0ac+fOxeeff46enh4sWrQoqCLq8OHD\n/Q7n+/YRh9MQP4fDQUZGBl566SU8//zz2L9/P5577jl0dnYG1f3k8/nQaDTQaDRMXWV1dTWUSiU0\nGs2Itr09Hg9sNhsTtO67eR+M9iMulwulUgmlUsm4hqWlpREXWcThcCCRSCCRSJjKytOnT+M3v/kN\nFi1ahPz8fFRVVTEO5uXLl5GSkoK8vDzMnz8fP/3pT5GUlBTqpxF0DAYDk+NLZ/qy2bNnDwoKCgD0\nHmvrdDo0Nzf3uY2ITgKhL0R0EkJGf7OZd999N+bNm8f8/+rqapw4cQJarRYCgQANDQ3g8/mYOnUq\nzGYzTp48iXPnzmH79u34xS9+gQULFng9DkVRoChq1EJEr9f7vZ0+1mL3EYcrAoEA999/P+677z5c\nvHiRaT26+eabsWbNGkyePDkoAopdV9nY2IjKykrweDzG/fT3Z+NbF9nR0QGPx8MITLppaCxD0qOj\no5GRkYH09HS0trairq4O586dYyKLImWJqqurCxcuXIBer0d0dDR2796Nn//859BqtXjooYfw+uuv\nY9y4cREhpgMNe3xGr9djxYoVXve3tbVBJpMx/7+5udnvbQQCoS9EdBJCjr8PNvaR3bfffguhUIiK\nigocOHAAH374IbKzsxEdHY0LFy7A7XbjzTffxMGDB3Hw4EEsWLAAZ8+ehUAgwPjx48HhcPDRRx/h\n+uuvh1wuh1AoHPaHqT8hSQ/25+bmRtwQP+1+/upXv8ILL7yATz/9FJs3bw66+8nj8Zh+bqvVCqPR\niJqaGigUCqZ3nBaYbrcbsbGxSEhIQFJSUr91kaGAw+FAJpNBJpMxEVInT56ESCQKuyWq7u5uVFRU\nMMfkVVVVEIlEmD17NvLy8rB06VJm+ejQoUPYtWsXPvjgA7z77rvQarWhvvyQodfrUVBQEBGOpcfj\nAYfDCZvfOQKhP8LjHZxA6Aej0YizZ8/i+9//PsRiMd544w3ccMMNeOihh/DBBx+gsrISkydPxnPP\nPYeqqirMmDEDAHDgwAF8+umnaG5uxsqVK/Hll19i8eLFqKurw1/+8hc89thjkMvlw3LJaGFJM1gf\ncaQgEAiwZMkS3H///WPiftJ95PTsJZ/PR0NDA0wmE/h8PpKTkzF9+vSICToXCARIS0tDamoqM0Zw\n/vz5UY0RjBSXy+V1RF5RUQGKojBz5kzk5ubipz/9KaZOneq3ipPL5eLuu+/G3XffjStXriAhIWHM\nrjsc0el0fuezJRIJWlpaAPR+8ZTL5QDg97Zg4E9ghlsmK4HQH2SRiBDWuN1unD17FtHR0Rg/frzX\nfeXl5Xj66aexadMmJCQk4Pnnn0dRURH4fD6eeeYZ3HPPPVi4cCHWrFmDuro6vP7660hPT4dEIkFb\nWxv27NmDxx57DG1tbREZbh5MnE4nPv30UxQXF4/K/fTXR97T04OYmBivNh/6WJq9Ma5QKKBWqyOy\nU5seIzCZTOByudBoNEhMTAyoOPB4PKiurmYczJMnT8JutyM7O5tZ9Jk5cyZEIlHAHvNagZ1SQc9o\n0ycber0epaWlWLduHQoLC5n5bd/bAvHls6mpCR999BHWr18Pt9vt90tyU1MTjh49iuLiYvz5z39G\ncnLyqB+XQBgBZHudcPXh8Xi8Pri//fZb/Otf/2ICqMvKynDw4EGcOHECTz31FKKjo7Fu3Tps3LgR\nDocDhw8fBpfLxTfffIO0tDRs374dX375Jc6dO4cf/vCHIXxm4Qm9+b5z50588skng7qfdF0kvejj\ncDi86iITEhKG5GB6PB4mL5OiKGZjPBIdHbaQHmlgO0VRqK+v99okb25uxoQJE7w2ycVicZCexdgy\nWGSRv/sDVdCg0+mwfPlyyGQytLS0YO/evcjPz/eKLCoqKmKWjOjH8nfbcKA/i9l/r1wuF1JTU2E2\nmwEAZ86cwfvvv4/y8nL86le/wtSpU/GPf/wDzz77LJ588kksXbp0xM+bQBglRHQSrh2sVivKy8uR\nkZGBt99+G3K5HE888QQ+++wz7Nu3D2+88QY++ugjnD9/HgUFBVizZg2WLl2KpUuXQiqVevU7+3vz\nHwsG+9AMZA7gSGC7n1arFffddx8SEhJQXl4Om82GRx55BFFRUX0E5mhfR7vdDqPRiCtXrkR0XqZv\n9JJGo4FSqfQ7p9rU1MSIy5MnT6Kurg5paWmMwMzNzYVSqQzBswg+g0UW9Xe/VCqFTCbDjh07wio9\nwh+DLTfa7XacPHkSZrMZP/vZz3Ds2DGo1Wps3LgRqampWLx4MdatW4eXXnoJ06dPx9q1a/HSSy+R\nQH1CKCGRSYRrAzoy58YbbwQArFq1inHTdu/ejblz56Knpwe1tbXQarVwu92YN28eNm/ejHfffRdV\nVVX49a9/jc8//xzZ2dnQaDQheR4DtRrRm/P5+fkwGAzQ6/VjOjva3t6O48eP49y5c4iJicHFixfx\nxz/+EQqFAhkZGXjooYdw3XXXBcWJFIlEGD9+PDIzM5mWHbrRKikpaUy310eDb/SSyWTCkiVLEBcX\nh/nz58NqtUKv1zOLVbTAXL9+fVAapcKVwSKL+rufdiTDCbfbDYvF0idqyncms6urC+fOncOLL76I\njRs3Yu/evbh06RJuueUWuFwunDhxAhMnToTBYIBarcaRI0fQ0NCA+vp6zJkzB3PmzEF1dTWysrLG\nvCaYQBgORHQSIh7fN9hx48Yx//u2225DTEwMDh8+jKamJtx11114//33cccdd6CzsxM2mw3x8fHY\nvn07Pv/8c7jdbshkMuzcudNrlnAs3E92+4gv/rIBx1J0Hj9+HIcOHUJubi6WL18OrVYLDofDuJ9F\nRUV4+eWXsWrVKtx///1B2Xz3FW1GoxHHjx+HVCqFRqNBfHx8wB8z0Njtdpw6dYpZ9Glubobb7UZx\ncTEcDgcefPBBFBcXe9W/XmsMFlnU3/30F7NQFjTQDiYtKo8cOYI9e/bgl7/8JfNl1mKx4MiRIzh4\n8CBuvvlmfO9730NLSwv+8Ic/QKVSgcvlwuFwYOfOnUhKSoLJZMLRo0eRm5vLjGqsXr0a06dPR319\nPYRCIQQCAU6dOnVNd9UTIgMiOglXNY899hiA3uNKoVAIhUKBXbt24csvv8SpU6fgcDhQV1eHrKws\nvPHGGxg3bhw2bNiAEydOYN68efjuu++gVquDuo1KYzAYoNPp/H5ohjoHsKCggBG9bNib77W1tczm\n+/z587F69eqg5X5GR0dDq9UiMzMTzc3NqKmpgdPphFqtRnJycli4n06nE2fOnPHaJOdyuZg5cyby\n8vKwadMmZGdnM8frzc3NeO+993DnnXdi27ZtuPXWW0P8DELLYJFFvveHoqDhyy+/ZHJbgb4OJu3G\n19XVMaLz/fffx7Fjx/DII49Ap9OhoqICr7zyChQKBXJzcyGVStHe3s78Ds+ZMwfbt2+HRqPBihUr\ncPLkSbz11luoqqpi3t9WrFjBLIwRl5MQzhDRSbiqoV0HpVKJgoICOJ1OPP/88zCZTKioqIDdbseE\nCRMgFAoZh/Trr7/GokWL4Ha78ctf/hIOhwMJCQl4/PHHvULrA+1+hnOr0WBwOBxkZmbi17/+NbZs\n2YJ9+/bhF7/4BWw2G7P5Howtag6HA4VCAYVCAYfDAZPJhBMnTjDtRGMV++PxeHDhwgWvTfLu7m5M\nnToVeXl5WLduHWbMmDHgayCXy7Fhwwb8+Mc/hsfjGZPrDmf6iyzyd39JSQkAjHlBw65duzBlyhT8\n7Gc/g91uxz/+8Q988MEHyM7OxsaNG5GcnAyRSISamhpcf/31qK2tRWVlJX70ox/h5ptvhlwux89+\n9jMAQE5ODlpaWpCZmQmlUolXXnkFeXl5OHz4MBobGwEA69evx7Fjx5CWlgaNRsOkPpCNdUKkQEQn\n4arGVxAKBAL84Ac/AACkpaVBKBSipqYGL730Eu69915cunQJZrMZt99+O7744gvYbDa89dZbKC8v\nx+7duzFjxgzExcXBZrMFNMpnsFaj/rIBwxGBQIClS5diyZIljPs5f/78oLufUVFRjOvU0tKCixcv\noru7m3E/AxUsT1EULl++7LVJ3tbWhqysLOTl5eGBBx7Ab37zmxELXg6HExZObSgpKipiBKVvZJG/\n++nFImB0BQ10P71AIEBsbGyfmCL6S2xjYyOuXLkCoVCI2tpaAEBFRQWKi4uxcuVKdHR04M4778Rn\nn30GqVSKuro6AIBYLIbT6YTT6QTQ62JWVFQAABQKBY4dOwaBQIDf//732Lp1K+x2O5599lm89tpr\nzDXMnz9/RM+NQAgHiOgkXLOkpKSAoiiIxWIsWbIEy5Ytw8yZM/Hqq68CACorK7FkyRKoVCp4PB78\n8Ic/RFxcHA4fPozXXnsNEokEDz/8MG6//fZRX0t/rUb0B+2KFStQWloKoPcYPhJc0P7cz66uLmb2\nM1jup1wuh1wuR09PD0wmE0pLSxEfH8+4n8MRvY2NjYy41Ov1MBqNGDduHPLy8lBQUIBnnnkGiYmJ\nAX8eoWKwuCJ/KQuBTFbQ6XTMY9CRRcB/yxj83T/Sgga73Q6RSMSIyV27dmHt2rX405/+hFWrVoHH\n46G9vR0XL17E1KlTwePxcObMGaxatQo33ngjKIrC119/DQD47LPPEBcXB4FAgJMnTzLuZEpKCo4f\nPw6XywWZTIb58+dj586d+Oqrr1BaWorCwkIAvU7nlClTwOPxIBAI8MILL4zqdSQQwhEiOgnXNBwO\nB1FRUXj00Ufx6KOPoqenB0KhEKdOnUJlZSUj/rZv344lS5YAAC5fvoy77roLubm52LVrF2666aZR\ni6f+PjTZrUelpaXQ6XSQSCQR2XoUCvdTKBQiPT0d48aNQ2trKy5fvoyuri6oVCokJCR41a0CvSKf\nPh6nN8mVSiXy8vKQl5eHxx9/HCkpKVft3BztKtJxRP7GPHxTFgKdrJCfn4/W1tY+t9MZmf3dP9xs\nzM2bN+PVV1/F8ePHMXHiRAC9bvm0adMYwfjQQw/BYrEgOjoaU6dOxdatW/Hhhx/i0UcfxRNPPAGP\nx8OMdjgcDly6dAktLS149tlnoVKp0NHRgcTERDQ2NuLy5cvIzMzEww8/DK1Wi6ioKGzYsIGZ1b6W\nl8cI1w4kp5NAQN/QeTqmZO7cuQCAxMRElJeXo729HbW1tXjzzTdxyy23MKHcpPVl+DidTuzbtw/F\nxcVBdz/Z0PFZDz30EDQaDSZPnowrV67g3LlziIuLQ25uLhNXpNVqIzKQfqTQLue6deuwadMmaLXa\nPmLOV4hu2rQJBQUFyM/P73cRLhz5/PPP8ZOf/ASzZs3CO++8A6fTiccffxxTpkzB+fPncd999+Gj\njz7CG2+8AS6Xi/T0dJSXl2PDhg247777mC+hEydOxJ///GdER0fj7bffRlpaGpqbm8Hj8bBp0ybY\n7Xa0trYiPT3db/0ogXCVQHI6CYSh4iss+Hw+IzgtFgs2bNgAjUaD/fv3Q6lUYu/evXjhhRcgl8uJ\n4Bwhvu5ncXEx5s+fjwULFuAHP/hBQN1Pp9OJyspKZpP89OnTSEhIgEqlgl6vR3t7O1avXo3Vq1eH\n9bxssBksroi+nf7vp59+OuTJCiMlPT0d8+bNQ0VFBUpLS5Gbm4u6ujosXLgQnZ2d+Nvf/oZbb70V\nnZ2dEIvFSE1NxT//+U8sWbIEn332GdxuN4DeI/pvvvkGGzZswOrVq2GxWDBx4kSoVCrweDzExsYS\nF5NA+A9EdBIIg6BQKLB582YAQEZGBn7605+ipKQEYrEYBoMBkydPDvEVRjb07OfWrVvxy1/+Ep98\n8gl+/vOfw263j8j9dLvdOH/+PDODSUdjTZs2jTkinz59OqKjo5l/p7W1Fe+99x4WL16MgwcPRkTm\nZzAZKK7IN2UhUpHL5UhKSsK9996Lf/3rX2hra8Odd94JPp8PsVgMPp+P7777DiqVCnPmzMG4ceMg\nFAqxaNEieDwefPXVV1i4cCG+/vprptFsxowZIX5WBEJ4Q47XCYRB8NfwodfrIRAIMG3atBBd1cgZ\nyaLIWENRFAwGA3bu3IlPP/0UCxYswOrVqzFp0iSvPwuKonDp0iVGYOr1erS1tWHixInMEXlOTs41\nLyKHS2Fhod8jcnY0UWFhISQSCWpqapjj9ZKSEhgMhog4Xu/p6cH27dsxfvx4eDwevPjii3j88cex\ncuVK/OEPfwAA3HHHHXjqqaeQlZWFe++9F3fffXeIr5pACFtI9zqBEGh8Zz8jjcF6rQGEXYe10+nE\nJ598guLiYtjtdsyePRtRUVFMN3V6ejqz6JObm0uOMkcJ+8uGb1yRXq9HZmYmJBIJ1q9fzyzalZaW\nYt26dSgsLER+fn5ELLpRFIXdu3ejoaEBGzZswO23346oqCgcOXIEVVVVkEqljINJIBAGZUiiM3I/\nPQmEEBDJghP4b+sRAL+91kBvHWdNTU1YCE6gd/Zz2bJlOHjwIHbt2oVLly7huuuuw9tvv42Kigrs\n27cPmzdvxsKFC68KwVlUVISioiJs2rSpz316vR4cDgdarRZarZYRffQ/S7vYI4WOI9JqtZBKpczt\nt912G4DelIX3338fJSUlTMoCLTAjLVmBw+Fg2rRpmDVrFmJiYvDFF18wfzemTJlCBCeBEASI00kg\nXKMUFBRg27ZtfURCYWEhcnJyImYL+WpiMCeavTmu1+shkUiQmZkZdu40gUC45iBOJ4FA8A+dpdjf\nokh+fj6am5sjelEkEhnMiWYLSoPBwBQK7N27N6zcaQKBQPAH2V4nEK5BdDqd3yWiweo4CcFlKJFF\nQN+sTN8YIwKBQAhHiNNJIFxj+PZWA71NPEBvHSctZmpqapCbmxuai7zGGSiyCOiNK2K3KRF3mkAg\nRAJEdBII1xAjWRQhjD06nW5Ax5J2NoHeGCM6yoi40wQCIZwhx+sEwjXEYL3WwPA7rAmBxdeJZkcW\nAb2znGyXk148AnrdaXqjnUAgEMIN4nQSCAQCegUe7QT7o6SkBDqdDoWFhQPeNtprGMiJpmHXThJ3\nmkAgRAokMolAIFzz6PV67NmzB9u2bfMbJaXX62EwGLBs2TIUFRUxs66+txHBRyAQrlFIZBKBQCAM\nhZycHGab32Aw9BGPe/bsYY60MzMzodPp/N5GIBAIhP4hopNAIBD+Q2FhIXbs2NHn9ra2Nq8j7ebm\nZr+3EQgEAqF/iOgkEAiE//D0009jx44dTIQUgUAgEAIHEZ0EAuGaR6/XMzFEmZmZfTrMJRIJWlpa\nAPS6nnK53O9tBAKBQOgfIjoJBMI1j06n8xKQdAQR7XiuWLGCyb80GAzIz8/3exuBQCAQ+oeITgKB\ncM2zbt06GAwGJmR92bJlALxD84FecSqRSLx669m3EQgEAqF/SGQSgUAgEAgEAmE0kMgkAoFAIBAI\nBEJ4QEQngUAgEAgEAiHoDLd7fUj2KYFAIBAIBAKBwIY4nQQCgUAgEAiEoENEJ4FAIBAIBAIh6BDR\nSSAQCAQCgUAIOkR0EggEAoFAIBCCDhGdBAKBQCAQCISgQ0QngUAgEAgEAiHoENFJIBAIBAKBQAg6\nRHQSCAQCgUAgEIIOEZ0EAoFAIBAIhKBDRCeBQCAQCAQCIej8P6u7n58Y3ZTRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a18f72940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, hofts.HighOrderFTS, range(1,20), [1, 2, 3], tam=[10, 5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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bKp1nof4gIUkSDg8PazYj7ezsIBaLmTJeIwgCAoGA4cdhcBwHQRDQ09MDp9NZ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\nSjL2jsuY3z7Go+QWHj7ZwML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MC0xcBgIBhMNhjI6O1s3zW1lZsbziYZf2up6VTpazqK6a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\nR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XJzc1FQUICSkhIAQH19PfLz85GXlwetVgudToe2trZBt0WQ20mczksVrVaL1atX+71P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\nQef/AbppTUrOKY6qAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a16ed86a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.common import Transformations\n",
"diff = Transformations.Differential(1)\n",
"\n",
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, hofts.HighOrderFTS, range(1,20), [1, 2, 3], \n",
" transformation=diff, tam=[10, 5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the partitioning schemas"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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nMsHSUZ394+Y3HQQFA/EItzOD/tzzlJasvcw57iFkH1v9Wm1/9kYGDRlgBYS3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z8/v1NlgoZhsK5Vr5QHAgQCcQL+OJrq3O75RrbM2JCf5Ejoyte8jppGF069h1w3cy5Ymx6h1TH4\nsOfcwsdvSawBkqPPPL1mkGD1kM3dMrNjYUbC/t+/2Knc4GKzGIsQ9nsc2zIvnBQ4qB1cn2CB+Xfg\n4KHPejpDcGX52nnB1HgKtamyq+0+YGTWUdxRkb0S48nLjREAQqcdPKfOYRW+fgHDuHL+CsAf9PJo\naoiCQ+ewjI5BK1e5Uh4omFx4xsG3r3Tazkw+8vk8o6OjhEJXH1jFDJpTjS6EscPwJQ6CgomJCXw+\nn2ONLvKNFgfNNq+vkAcKotEVR1u1b2ZLrM5cP3O+poT50e7wve5QeXL+LXgCELtiXICfqiUnF5V/\nS0CBieeOVu30mt8mWJIk/askSX+XJOm//OZ11z7/z8hGtvTPsWA4OAKj81e+xCNLpJLDjnXVEZK4\n3yZYiTemZX3VeTIWvVql8eULodTVVWT4+XeQPnRmlbX4TWU8GcHju/rS543H8UyMU3Ook6CQxMXn\nF699XWwuSnFHdWQluVWsYrR0fFcYXAgmF57Rabc52Pn2MIFZzHUGFwJ/MgISjpUJquomPt8jgsGZ\nK1/j8XiYmppybIIlZo6u62CBmWBVq3/Rajmvs1xptPlcrFwpDxSsOX3hcO4tTC6D9+rCeWI4yHjE\n79gzz41JnBaVHXgPeQiuTbAkSXoDYBjGvwMl8edLXvd34H+zPjznUtTq7JXr7pYHgvnLlXhtWpVf\nw+r0MO/3VJpt5w0pZ44yeCUvL0ZfXP/CpHM1yfX370HXLywYPs/CyAJBT9CRc1iGblD8rl0rDwTT\nMjm0vELdqR2s7c8MxycJR6+/9sTnotQrLbQj57mWtboGF1d3IoGuTb0TZYKqqqJp2m8TLDnoxTse\ncqyToKptoiip3zrtJhIJ9vf36XScN9eyrlXxSRJLkas7kQDK6RyWpjmvgJXJlTEMrnQQFLwcChGQ\nJd45cQ5L70B+/VrFDpj3kNXpEceqdm5M8g2cHEA52+9IbMnvOlj/CRAp+Ffg770Nxz1snu59uspN\nxxW0alB4f+myvfOszozQbOt8KjjvEJA5zPD00VMCnsD1L0y8Nv/rQJmgkMOFrjC4EPhkHy9GX7B1\ntPUQYVnKj0KV1v/P3psntZG1676/TPVCKXoQEhiXMW4KAbZrD2EP4UbcGewh3DuGc4ewZ3AizhC+\nM4NdtgG5KWNcxkggBAiRKdSn8v6RLMzmVJXVZLOE+UV84c9lyEwklLne9T7v8zTMvwwYvk1sPUvr\nzz8xjdH7fT3a+0Tq0f+Zf3WbUQ4cbuUNlGiA4PQ/L1iTs3PEkuMjaXTxTwHDtwkvabQOjJHrRppm\njcvL3b8MGL5NJpOh0+lQKo1eDt9bvcaviSgR9Z+XXEnNvv+OYh6WkMP9qIMVUhWyiRhbo9jBOv0E\n7cue1jwbixPsnVQxGqMpT+6J+8Dhf+RHBdYEcFPvNH37CxRFeXXV4brnBlv5CqoCa+kfL+ZGlqNt\n25r8B7s58H1Xa9Ra5l2r+2ODC0F0HKZXR3Los7GzTTC9QHDmr229b5KdyfLh7AOdbseDK3MOYejw\nTw6CguvA4dxodbFqFxWM05O/DBi+zXQmgRpUKO2PXhHZOjAIL2oofxFmehNFUUitrFL8PHoFVqFQ\nsK8/lfrh14YXNbrVNubFaM21GMZ7LMv8RwdBgejkjZpMsGtZbBm1vwwYvk0oNE4s9hB9BJ0Etw4u\nWJyMMZ34wUYk9hzWllGnM2rRLaKQ+AdTL8HG0jiWBTuFO9zFms+CGhrJTWUvcMLkYuqf/lFRlP9Q\nFOW/FEX5r5OTEwdONxps5S94Mq8RD/91rsedQHyoerjZLE7GmIyHRm7o85v+DaNt9FZgwciG79V3\ncj+cvxJkZ7I0zAZ7lT2Xr8pZSl91QpEAE39j632T2JVUctSMLq4Dhv/BQVAQCKrMLmkj5yRotbu0\ni7UfGlwIUiurlAt5Wo26y1fmLIVCgfn5ecLhH5skha6kku0RkwmKTk1S+3GBNTk5SSwWGzknwb1a\nE8Ps/nD+SmAbXYyeRHArX/mhPFDwMhmn3u2yWxsxeXLhNUSSMP3P861w0z35DhdYwYg9jzaCax4v\n+FGBVeF7ATUBnN38x166V5Zl/adlWf9mWda/zc7ODn6lI4RlWbabzp03uHgNWhqSCz/8UkVR2Fwa\nPU2yCBjuvcD6DapF0EdnEdA5P6d9cPC3AcO3Ea/FqM1hHe8bzC1rqD/oegC2Xf2DByMXOHz0+ROK\nojL/y48XAGB380rfjJEKAW8dVaFr/XD+SpB6/ATL6lL6MjobApZlcXh42JM8ECC8kICAMnJzWLqx\nTSSyQCTy47WBoiik0+mR62CJzKeXfRRYzWaRZvPYzctylLNqk/x5nc2l3mbOr40uRm0O6/C1bU/+\nA6knwNRYmKWp2MhtKvdN5pU9lzbCIeBu8aPfkv8JCHu4R8C/ABRFEZXDoyuXwf8Apv7OBONn41u5\nRqXWZqPHm83IUvi9J3mgYGNxgk/HBrXW6EjLcqc5YsEYj8b/3iXxvzGCgcNCBhftsYP1QHuAFtZG\nyknQ7HQ5zRs9yQMFsWyW+ogVWMd7n5heXCIUjfb09XMPNTpNk/Pi6ISAC7e8HzkICoRd/dEIzWGV\ny2UajcYPDS4ESkgllBobOSdBXd/qSR4oyGQylEolWq3RkUK+0WvEAyqr8d4+k+L1GKU5LLFx2qtr\n8qNYBC2g8naU5rA6TSjmelLsCDYWJ9g6GK1N5b5Jv4KWAWejZyTkNv9YYFmW9RquXQIr4u/A/776\n9/9lWdb/uvpvd7xd0ztbVzebO93BqlegvPfd2KEHNhfH6VqQK4yOJCl3muP51HOCao9Sz9Q6qMGR\napnXd3ZAUYhm/z7X4yaKopCdzo6U0cVZoUq3Y/3QQfAm0Y11OsUinRGRNluWRXFvtyd5oEAYfpRG\nKA+rna+iamECyd7yBePJcZKzcyPlJCi6NL0WWGA7KrbyVawR6Ua22xXq9W89yQMF6XTa/j0vFl28\nMmd5a9TYSMQI/MAlUaAlfkVRAiNVYG3lKygKZDO9bSqrisKLq8DhkaGYg267r03lF4sTFCp1TqtN\nFy/MZ4Thxwitebzih33OK4nfvyzL+s8b/+23v/ialRsF2E/N9kGFSFDlaaq3HdaRRFiR9+CmI9hY\nHK3wvXa3zcfyx97lgQChKMyvjdTQZ2MnR/jRIwKJ3iRXYMsEd893aXRGQ0N/bXDxsPfP5KgFDusn\nx9QNvSeDC8HEXJxwNDBSc1itvEF4MfFDW++bpFaecDxCHazDw0OCwSD9yOrDSxpW06RzNhqzZrpu\nd4f77WDB6BhdtLpd3lXrPcsDAQKBGGNjT0dqDms7f8HqXIJEpPeZ8xdanPeXdRrmiEjLxDO9rzWP\nXXCOyppnIGZWIZwYKdWOVzhhcnHPLbbyFX5NJwkF7vDLe+2m03sHa1aLkJmIjYyT4OfzzzTNZn8F\nFtgt88KbkdAkW5ZFfWeHWLa/n3FtZg3TMvlY/ujSlTnL8VedmBZCm+pNpgMQff4cVHVkAoevDS5W\neu9gKarC7LJGaX80CqxuvUPnpN6zwYUgtbLKRemYmj4acp1CocDCwgKBQKDn7xGvyajIBIVTXjLZ\nmzQZQNM0ksnkyBRYHy4bNLtWzwYXgmRyHV3fHgnbfcuy2Dqo9CwPFLxIxulY8K46GhsCFH6HsTlI\n9t5VzmbGURV4e5dlgmoAFl6M1KayV9zhCsAfOmaXXEG/2/JAsDtYUysQ6+/n3FgcHxmji2uDi+k+\nC6zMK2heQPmLC1flLJ1iEfP0lOgP8q9usz5jf/2oGF2U9u35q366Hmo8TmR1dWQCh4t7uwRCIWYe\nLPf1ffMPk5zmq5ht+TcEWoWrgOEe568Eoqt3PAIyQdM0OTo66kseCBCci6OEVdr5qktX5iy6sUM8\n/ohgsL/3Mp1Oj4yToJDA9WLRfpOktkGnc0G9vu/GZTlKoVLn7LLF5g/yr27zUhsxo4vCa/vZ3scz\nZCwSZHVOu9sdLLBfl+IOdEZnNtIL7gssh/l8UqXeNnt20xlZCq/7apULNpcm+FaucX4p/wfx3ek7\nxiPjLGqL/X2jeF1GYEdHmDj06iAomIvPMRebuy5CZabV6FA+uuxr/koQXc/S2NkZiZ3k4udPzC0/\nIhAM9fV9c8tJuqbF6QgszFtX19irg6Bg/tFjUJSRmMM6OTmh0+n07CAoUFSFUCYxEk6ClmX1bXAh\nyGQylMtlajX5F+ZvjRpToQAPor3NCwpE8PIozGGJDdPNpf42WxciIebCwdGYw2rodsjwAGsesak8\nCs+Qgcm8ArMFx/KvB7zkvsBymK0DkWZ+hztY+hEYh30NewqEJnlrBHZ0dk53yE5n++p6ADDzFELx\nkdAkN3Z2IBQi8uxZ39+7NrM2Eh2sk28GWDC33P9MZCy7jnlxQfvgwIUrc45u1+T4y2fm+5i/EojC\ncxRkgq0Dg8B0FDXeXxEZjsWZzixRHIE5rEEMLgThRY3WYRWrI3c3stks0mqd9GVwIRCvyyh0sd7o\ndsBwv8+QsbFVVDWKbshfYG0dVAgHVJ6l+tvAUhSFF1r82sZeao7eAlZfDoKCjaUJypct8ucjIoUc\nBPG6jMCmspfcF1gOs5W/QIsG+WV6zO9LcY8+AoZvs54ZR1HkD9+rd+rsVfZYm+nNWe+/EQjCwuZI\nuOrUd3JEnzxB7SHM9DbrM+vs6/voLbkX5sIhb36ADpbo7Mlu114u5Gk3Gyz04SAoSExGiCXDI2F0\n0c4bfc9fCVIrqxT3dqXfSS4UCkSjUaampn78xbcIL2rQsWgfy71oFYXDIB2shQU7d1H2AuvSNPl0\n2eh7/gpAVYNo2q8j0cHayld4vqARDva/nHyZjPO51kTvmC5cmYOIZ3kfM+eCF1eb7aOwqTwwEw8g\nPmPPnt9zzX2B5TDb+Qobi+M9hZmOLIXXoARgof+HoxYNsTKbkF6T/LH8EdMyr2eN+ibzGxS3wWw7\ne2EOYnW7NHI5on3KAwWi+Hx3Krdde2lfR5uOEtP6LyIjq6sokYj0c1jFz3ZnZpAOlqIozC9rHEte\nYJl6C/OiNUSB9YTaRQXjTG7bfREw3HfnnO+zabLLBHV9B0UJkkj82vf3xmIxpqenpTe62DHqdPk+\na9QvyeQmhvGOblfe3Eiza9kz533KAwViNm1b9i7W4WuYfAhj031/69OURjigSr+pPBSKYiuaRkC1\n4yX3BZaDNNomH4+Muy0PBPtDNP8rhGIDffvG4jhvD+TWJO+c2B2Lvh0EBemX0GlA6b2DV+Usra9f\n6VarxHoMGL7N2rRdYMkuEzz+qvcVMHwTJRQi+uyZ9B2s4t4u4VicqYX+ZWVgywTPj2u0GvIu5kTR\nEF7qb/5KIIwuRDEqI61Wi+Pj44HkgQCByQhqPCi9k6Cub5FIPCUQiAz0/ZlMRvoC640wuBiggwW2\n0UW32+DyUt65wS8nVarNzsBrns2r1+aN7HNYhdcDKXYAwkGV5+nkyLgnD0z6FZz+AU35Z3m94r7A\ncpD3RzqdrnW3HQQty3YQHPBmA3YA82m1ydGFvBlKubMc8/F5ZmIzgx1AzKdJLBNsXBUN0fXBisjx\nyDjLyWWpC6y60cI4a/SVf3Wb6MYGjffvsTryFh/FvV1SK49R1MFu6XMPk2DByb68C/NW3gAVQunB\nCqyZ5V9QA0GpjS6KxSKWZQ1cYCmKQmhRoy1xB8uyuhjGzkDzV4J0Ok21WkXX5e26vjVqZCIhZsP9\nzQsKhH29zHNYW8Lgok8HQcFUKMjDWFjuOazqCVwcDDRzLnixOE6ucIE5IiHgA5H5DawuHG35fSXS\ncF9gOcj21Q7FnXYQLH+BRmUgNx2BkBPILBN8d/pucHkgwOQvEJuUeuizvpNDiceJrKwMfIy16TWp\nnQRL+4PPXwli61msep3mnpy2+512m5P9P5nvI//qNsIARGaZYCtfJTQ3hhruPRvqJsFQiLmHv0hd\nYIm5on4dBG8SXtJoH9fotuSca6nX9+l0jGunvEEYhcDht3qtr4Dh28RiDwkGk1LPYW3nKyQiQR7N\nDrbpAbZMUGonwQEChm+zsThBrWWyd3KHuzvXm8r3MkHBfYHlIFv5C2a1CKlk72GmI4foyAyxm/N8\nQTgu8bcAACAASURBVCMUUKQN37toXvDN+DaYwYVAUa4Ch2UusLaJ/forSh9hprfJzmQp1UqUaiUH\nr8w5jr/qoMDsgyE6WFcSyoakgcMn+1/omp1rCdwgxBJhkjNRaZ0ELcuinTcI9WnPfpv5lSccf9nF\nkjQEvFAoXIfpDkp4MQEWtAtyLuYurgOGB+9gpVIpVFWVtsA6a3XYb7T6zr+6iaIoJLUNqQusrYMK\n2UySwBAz5y+0OIVmm1JT0nnlwu+gqLZx1YCITfc7LRMcm4HxB1JvKnvNfYHlIFv5CpuLEwMNJ48M\nh68hGIPZ5wMfIhIM8CyVlLaDJUwbBp6/EmReQekDtOTbnbNaLZofPvYdMHwb2QOHS/s6k6kxwtHg\nwMcIP1xG1TTqkhpdiI5MaogOFtgyQeG4KBtmuUG31uk7YPg2qZVVWvU65UM5F+aFQmFgeaBAmIDI\nanSh69uoaox4fPDOeSgUYm5uTlonwS1juPkrQTK5zuXlH5imfHL6VqfLhyNj6JEI0eWTViZYeA2z\nzyA8uDP0o5kEiUhQ2jWPY2Tk3lT2mvsCyyH0RpsvJ5cDa5FHhsJreycnMPiCFewdnZ38BV0JNclC\n8iZMHAYm8xtYpu0mKBmN3V2sVqvvgOHbPJ16SkAJSFlgWZZF6avO/BDzVwCKqhLNrl3PrMlG8fMn\n4uMTaNMDzgteMbecxCg3qOnyhYBfG1wM6CAoEDb2MuZh1et1yuXyUPJAgIAWJjARuQ5llg1D3yap\nZVHV4Z4hmUyGw8NDuhJ2I98aNRRgc4gOFthOgpZlUq3KZ5b0sajTMrsDOwgKsloMFUmNLizL3lQe\nQrEDoKoK65nxu+0kCPbrVNmHy1O/r0QK7gssh9i5+uBsDHmzkRqzYw8wDnmzAVuTbDQ7fDm9dODC\nnGXndIeHyYdo4eEWc9dGIBJqkr8bXAxXYMWCMR5PPJaywDLKDepGe2AHwZvEsus0Pn2i22w6cGXO\nYhtcrA7dOReFqIwywdZBFYIqodRwC9bJdIZQNCZlgSW6McN2sMCWCcroJNjttjGq74eSBwoymQyN\nRoNyuezAlTnLG73G43gELTi4/Bq+yyiFrFImtq7kbhtDbiqPBQI8HYvK2cGq7EPtbChTL8HG0jgf\njnSasmd+DcN14PB9HhbcF1iOIULk7nQH6+QDdOqO3GyErEDGlvm703fDywMBtHlIZqRsmdd3dghM\nTBByYDGXncny7uyddLb7Qu42N4TBhSC6sQ6dDs0PH4Y+lpM0azXKh3lSAwQM32ZmSUNRkDJwuJU3\nCKfHUALDPbJUNcD8oxUpjS7EPNGwHSyA0KKGWW5gXso113J5+Ylut4mWHG5jB76/TrLJBC3L4q1R\nG1oeCBCJzBMJz2Po8nXPt/IXTI+FyUwMFtdyk5dJ2+hCtmeIEzPngheLE7RNiw9H8m18OEb6BaBI\nuebxg/sCyyG2Dy5Yno4zEe8/zHRkcPBm83guQTwckK5lfnx5zEn9xJkCC+zXSsKhz8aOHTDsxLxg\ndiaL3tI5MA4cuDLnKO3rqEGFmcxwxggAsatOn2xzWMdfPoNlDT1/BRCOBplcGONYsjksy7RoF6pD\nywMFqZUnnHz9gtmRq/g4PDxkamqKWGz4BauYVZPN6EIYNowP4SAomJ2dJRQKSWd0cdhsc9LqDBww\nfJtkckNKq/btfIXNJWdmzl9occ47Jt8aksmTD19DIAJzQ44L8F3dJOOmsmNENJh9KqVqxw/uCyyH\n2MpXfo6A4egETD0a+lABVSGbGZfOVUdI3RwrsNKvbGv7mjwylm6tRvPz54EDhm8jXqudU7l2WUtf\ndWYyCQKh4W9zwfl5ArMz1CVzEhRSt/lHjx053tzDJKV9Xaqd5HaphtXuEhrS4EKQWnmC2elwsv/V\nkeM5hRMGF4JwJgEK0skEdX2bUGiSaHRp6GMFAgEWFhakK7CGDRi+TTK5Qa32J+22PJ3larPDbqk6\ntDxQ8ELWwOHCa0itQ3D4jfP0eJSZRFi6NY/jpK82lSV6hvjFfYHlACWjwdFF427LA8H+0KRf2hbk\nDrC5OM77I51WR54h5dxZjqAS5NnUM2cOmJFPk9x4/x663YEDhm+zMrFCNBCVag7L6lqUvhmOyAPB\ntkyOrW/QkK2DtbfL+HyKeNKZe8/8wySNahvjTB7Xsva1wcXwnUjg2s5eJpmgrusYhuFYgaVGgwRn\nYtI5CerGNpqWdcxpN51OUywWMU155lreGjVCisJaYvhOJIB2NYdlGPJsYOUKF1gWQzsICp6PxYio\nCm9kmsPqmnD41hHFDtjPkM3FCelUO46TeQWXJ3CR9/tKfOe+wHKA7as8p2HddKSmXYfj90OF7d1m\nc2mCVqfLp2N5FgG50xyrk6tEAhFnDph+af8pkUxQyNxiQxpcCEJqiGdTz3h39s6R4znB+XGNdsMc\nKmD4NrH1LK0//8Q05Pl9Pdr7ROrR4PlXt5ExcLiVN1CiAYLTzixYk7NzxJLjUhldOBEwfJvwkkbr\nwJCmG2maNS4vd4cKGL5NJpOh0+lQKsmTw/dWr/FrIkpEdWZ5ldTs+7RMeVhC5uZUByukKmQTMbZk\n6mCdfoL2paNrno3FCfZOqhgNueTJjnIfOHzNfYHlAFv5CqoCa2nnFnPScbRtW447tJsD33e/ZGmZ\nd62ucwYXgug4TK9KNfTZ2NkmmF4gODOcrfdNsjNZPpx9oNPtOHbMYRBGDU44CAquA4dzcnSxahcV\njNOToQKGbzOdSaAGFUr78hSRrQOD8KKGMkSY6U0URSG1skrxszwFVqFQsK8rlXLsmOFFjW61jXkh\nx1yLYbzHskxHHAQFouMni0ywa1lsGbWhAoZvEwqNE4s9RJfISXDr4ILFyRjTCYc2IrHnsLaMOh1Z\noltEgeCAqZdgY2kcy4Kdwh3uYs1nQQ1JtansF/cFlgNs5S94Mq8RDw+X6yE14sPi4M1mcTLGZDwk\nzdDnN/0bRttwtsCCq/C936XRJNd3co7NXwmyM1kaZoO9yp6jxx2U0ledUCTAxJC23jeJXUkqZTG6\nuA4YdsBBUBAIqswuadI4CVptk3ax5pjBhSC1sspZ4YBWXY4d80KhwPz8POGwcyZJoStJZVsSmaDo\nwCQ15wqsyclJYrGYNE6Ce7Umhtl1bP5KYBtdyCMR3MpXHJMHCl4m49S7XXZrksiTC68hkoRpZ+Zb\n4aZ78h0usIIRe25Nok1lv7gvsIbEsizbTednMLjQ0pBccOyQiqKwuTTB1oEcNxth0uB8gfUbVI9B\n938R0Dk/p31wMHTA8G1kM7o4/qozt6yhOtT1AGxb+wcPaEhidHH0+ROKojL/i3MLALC7fqVvhhQh\n4K3DS+hajs1fCVKPn4Blcfyn/xsClmVxeHjoqDwQILyQgIAijdGFrm8RiSwQicw6dkxFUUin09J0\nsMQM0UsXCqxms0izeezocQfhrNokf15nc8nZmXPpjC4Kv9u24w5JPQGmxsIsTcWuM8TuLJlX9vya\nhCHgXnJfYA3Jt3KNSq3NhsM3G+koDJ9m/ldsLE6wWzKotfyXlr07e0csGOPR+PAuif+N6/A9/3d0\nhLwt6nAH64H2AC2sSWF0YXa6nBaqjsoDBbFsVpoO1vHeJ6YXlwhFo44ed+6hRqdpcl70PwRcmDQ4\n5SAoELb2MhhdlMtlGo2GYwYXAiWkEkqNSWN0oRvbjsoDBZlMhlKpRKvlvxTyrV4jHlBZjTv7mRSv\nmwxzWKL74rRr8qNYBC2gyhE43GnC8TtHFTuCjZ/B6CL9CloGnPl/f/WT+wJrSLauPih3uoNVP4fy\n3nfDBgfZXByna0Gu4L8kKXea4/nUc4Kqw1LP1DqoQSla5vWdHVAUotnhcz1uoigK2emsFEYXZ4Uq\n3Y7lmIPgTaIb63SKRdo+D9VblsXR3q6j8kCBMAaRQSbYzldRtTCBpLP5gvHkOMnZOSkKLNF9cbrA\nAtt5sZWvYvncjWy3K9Tr3xyVBwrS6TSWZVEsFh0/dr+8NWpsJGIEHHJJFGiJX1GUgBQF1la+gqJA\nNuPsprKqKLy4Chz2nWIOum1XNpVfLE5QqNQ5MZqOH1sahDHIT250cV9gDcnWQYVIUOVpytkdVqkQ\nFuMOuukIxC6Y3y3zdrfNx/JH5+WBAKEozK9JcbNpbO8QfvSIQMJZyRXYMsHd813qnbrjx+6H4z+v\nDC4eOv+ZFM6Lfhtd6CfHNAzdUYMLwcRcnHA0QEmCwGHb4CLhmK33TVIrT6QwuigUCgSDQWZnnZPO\nCcJLGlbTpHPq72fyev7KpQ4W+G900ep2yRl1x+WBAIFAjLGxp3IUWAcVVucSJCLOz5y/0OK8v6zT\nMH2WlolntStrHrswlWX23BVmViGckGJT2U/uC6wh2c5X+DWdJBS4wy+l+JC40MGa1SJkJmJs+Xyz\n+Xz+mabZdKfAgqvwPX81yZZlUc/liGXd+RnXZtYwLZM/yn+4cvxeKe3rxLQQ2pSzMh2A6PPnoKp2\nJ9BHrg0uVpzvYCmqwuyyRmnf3w5Wt96hc1p33OBCkFpZRT85pqb7K9c5PDxkYWGBQCDg+LHFa+e3\nTPB7geWsNBlA0zSSyaTvBdaHywYty3Lc4EKQTK6jGzu+2u7bM+cXjssDBS+ScToWvKv6uyHA4WsY\nm4Ok813lbGYcVfmufrqTqAFYeCHFWISf3OGqwH06ZpdcQb/b8kCwO1jTjyHmzs+5uTTuuyY5d2Z3\nJFwrsDK/QfMCyl/cOX4PdIpFzNNTog4bXAjWZ+zj+j2HVdq3A4bd6Hqo8TiR1VXfA4ePPn8iEAox\n82DZlePPP0xymq9itv3bEGgVrgKGHZ6/Egh55bGPMkHTNDk6OnJFHggQnIujhFXa+aorx+8V3dgh\nHl8hGHTnvcxkMr47CQpp20sHLdpvkkxu0ulcUK/vu3L8XihU6pxdtlzL/BSvne+Bw4XX9jPbhWfI\nWCTI6px2tztYYMsrizvQ8X820i/uC6wh2C1VqbdNx910pKPwuyvDnoKNxQm+lWuUL/37IOZOc0xE\nJlhMLLpzAgnC9+rbdtfFqYDh28zF55iLzfnqJNhqdCgfXbpicCGIrmdp7Pi7k3y8t8vc8iMCwZAr\nx59bTtI1LU59XJi3DuxzO+0gKJj/ZQUUhSMfZYKlUolOp+O4g6BAURVCmYSvToKWZaHrW650rwTp\ndJpyuUyt5t/C/I1eYyoUYCnq7LygQMyv+SkTFI6/mw4FDN9mIRJiLhz0dw6rodshwy7MXwk2FsfZ\nOqhIEwLuCplXYLbgWA5TKD+4L7CG4Hua+R3uYOlHYBy5frMBfzXJudMca9NrrnQ9AJh5CqG4ry3z\nRm4HQiEiz565do61mTVfjS5OvhlgwdyyezORsew65sUF7YMD187xT3S7JsdfPjPvwvyVQBiE+CkT\nbOUNAtNR1Lg7RWQ4Fmc6s8TxF/86WKLr4lYHC2yZYOuoitXxpxvZbBZptU5cMbgQiNfPzy7W26uA\nYbeeIWNjq6hqFN3wr8DazlcIB1SepdzZwFIUhRda3F8nwaO3gOXupvLSBOe1Nvlzn6WQbiKRe7Jf\n3BdYQ7CVv0CLBvlleszvS3EP8eFwYdhTsJ4ZR1H8C9+rtWvsVfbckwcCBIK2JtnHoc/6To7o06eo\nDoaZ3mZ9Zp19fZ+Lpj/vpTBmmHfBQVAgMsT8msMq5w9oNxssuOAgKEhMRoglwxz76CTYzhuuzV8J\nUitPKO7t+raTXCgUiEajTE1NuXaO8JIGHYv2sT+LVlEQJJObrp1DdAD9KrAuOyafLhuuGFwIVDWI\npq3528HKV3ieThIOurd0fJmM87nWRO+Yrp3jHxHPaBc3lV8Ic6+7LBOceADxmZ/a6OK+wBqCrYMK\nG4vjjoaZSkfhd9tiPOWevEOLhliZTfjmJPix/BHTMt0tsOBKk7wNZtvd8/wFVrdLI5cjuu7uz7g2\nY9u/+9XFOv6qo01HiWnuFZGR1VWUSITGtj8FljC4cLODpSgK88uab1btpt7CvGh5UGCtUruoYJye\nuHqev6NQKJBOp93rnHPD6MInmaCub6MoQRKJ566dIxqNMj097ZvRxXa1ThfbBc9NkskNDOMd3a73\nuZFm12Inf+GaPFAgXsMtv2SChd9h8iHE3dv0eJrSCAdU392TXUVR7DXPfYF1T7802iZ/FI27LQ8E\n+8Mx9xxCMVdPs7E4zlb+wpedZGHK4HqBlX4JnQaU3rt7nr+g9fUr3WqVmMMBw7dZm74qsE79KbBK\n+7qr81cASihE9Nkz6j5ZtRf3dgnH4kwtuCcrA1smeH5co1X3fjEnXO/CS+7MXwmEzX1xz/s5rFar\nRalUclUeCBCYjKDGg745Cer6NonEUwKBiKvnyWQyvhVYYmbILQdBQVLboNttcHnpvaz1y0mVy5bp\n+ppn8+o19E0mePjGVXkgQDio8jydvNtOgmC/jicfoel/5Icf3BdYA/L+SKfTte62g6Bl2RJBF+WB\nghdLE5xWmxxdNFw/121yZzlSYylmYjPunug6fM/7HZ3GlZwt5pKDoGA8Ms5yctkXJ8G60cI4a7gq\nDxRENzZovH+P1fG++CjufSK18hhFdff2PfcwCRaUvnn/cGzlDVAhlHa3wJpZ/oVAMOhL4HCxWMSy\nLNcLLEVRCC9ptH0osCyri2HsuCoPFGQyGarVKrrufdf1rVFjMRpiNuzOvKBA5Ij5MYclioEXLpt6\nTYWCPIyF/SmwqiW4OPBmzbM4Tq5wgelzCLirZH4DLDja8vtKfOG+wBoQ0dq90w6C5S/QuHB9Nwf8\nDRzOnebITrvcvQJbdhCb8sVJsL69gxKPE370yPVzrU2v+VJgiXkhNwKGbxNbz2LV6zT39lw/1006\n7TYn+1+ZdyH/6jbCKMQPmWDrwCA0N4Yadj4b6ibBUIjZ5V98CRwW3Ra3HARvElrUaB/X6La8nWup\n1b7S6RiuGlwIxOvoRxfrjV5zXR4IEIstEwyOo+veL1i3DiokIkEezbi76QG2TPCNHxJBD+avBBuL\nE9RaJp9L/kYouMq1e/LPKRO8L7AGZDt/wZwWIZV0PsxUGjy82Txf0AgFFM9b5hfNCw6Mg+vZIVdR\nFFsmePjG/XPdop7bIfbrryguhJneZn1mnVK9RKlWcv1cNyntG6DA7AP3C6zoldV9w2Oji5P9L3TN\nDgseFFixRJjkTNRzJ0HLsmgXqq7lX91mfuUJx39+xvI4BPzw8PA6JNdtwosJsKBd8HYx993gwv0C\nK5VKoaqq5wXWWavDt0bLkwJLURSS2jq67v3853a+QjaT9GTm/GUyzmGzTanp8bzy4WtQVFhwv+Mq\nssTutNHF2IxtdvGTOgneF1gDspWvsLE44epwsu8cvoZgDGbdG04WRIIBni8kPbdqF7NCIiTXdTK/\nQekDtC69OR9gtVo0P3wkuuH+Ige+z7J53cUq7etMLYwRjgZdP1d4eRlV06h7HDgsOi1uGlzcZO5h\n0nMnQbPcoFvrEHIp/+o2C4+f0KrXKR96uzAvFAquywMF10YXHssEdX2bQCDO2Nhj188VCoWYn5/3\n3Elw60rK5qaD4E2SyQ0uL//ANL2T0zc7Jh+ODNcChm8jilXPZYKF1/Z6J+y+M/SjmTG0SPDuBw6n\nX/ma/+kn9wXWAFzU23w5uXTdTcd3Cr/bOzkB9xesYBtd7OQv6HqoSRahuL9O/+rNCTOvwDLhyDsN\nfePTLlarRcxlB0HB06mnBJSApwWWZVmUvuqu5l/dRFFVotk16jvezkIU93aJj0+gTbs8L3jF3HKS\narlJTfcuBFy43bntICjww+iiXq9TLpc9kQcCBLQwgYmI506Cur6NllhDUdzvnIMtEywUCnQ97Ea+\n0WsowKYHHSywCyzLMjGq3hkJfTwyaJldz2bOs1oMFbyVCVqWvebJvPTkdKqqkM2MX4c331kyr6Dy\nDS5P/b4Sz7kvsAYgV7hKM/doN8cXzI5dBHggDxRsLE5gNDt8OfWuu5M7y/Ew+RAt7M1izo/wvUbO\nLiKFrM1tYsEYq5OrnhZYRrlB3Wi77iB4k9j6Bs1Pu3SbTc/OWdzbJfX4iWed83kfAodb+SoEVUIp\nbxask+kMoWjM0wLLi4Dh24QXE/Zr6xHdbptq9b0n8kBBJpOh2WxSLpc9O+dbo8bjeIRE0Jsi8tro\nwsM8LNFl2fBoU3ksEODZWNTbDlZlH+plT2bOBZtLE3ws6jT9yvzyAmEY4sNohN/cF1gDsOXxzcYX\nTj5Ap+6Jm47gxVXB6lXL3LIscqc57+SBANo8JBc9Hfqs7+wQmJwk5OFibm16jdxZzjPb/euA4V+8\nK7Ci61nodGh++ODJ+Zq1GuXD/HXHxQtmH2goCp7KBFt5g3B6DCXgzeNJVQOkHj321EnQS4MLQXhJ\nwyw3MC+9mWu5vPxEt9v0vMAC7wKHLcvirVHzTB4IEInME4mkMDycw9rKXzCTCJOZcDeu5SYvknHe\n6jXvoluuZ869W/NsLo7TNi0+HN1hG/OFTUD5KWWC9wXWAGwdVFiejjMRdy/M1HfEhyHtTbscYGU2\nQTwc8MxJ8Lh2zGn91BuDi5tkXnp6s2ls7xBdz3o6L5idyWK0DL4Z3zw5X+mrjhpUmM54M7cDELvq\nCNY9Chw+/vIZLIuUBwYXglAkwOTC2HUB6zaWeWVw4ZE8UDC/ssrJ1y+YHW+Kj0KhwNTUFLGYdwvW\n0NVr6pVd+8WV052XBdbMzAyhUMgzo4tCs81Jq+OJwcVNktr69evrBVsH3s+cv9DinHdM9hseyZML\nv0MgAvPerQc2lvxzT/aMiAazT39KJ8H7AmsAtvMXdzv/CuwPQ3QCpty39RYEhCbZIydBYXDhesDw\nbdKv4PxPqLkvY+nWajT39lwPGL6N6Ap6JRMs7evMZBIEgt7d0oLz8wRnZ6nnvCmwhITNyw4W2DLB\n0r7uyU5yu1TDanc9cxAUpFaeYHY6nOx/9eR8h4eHnsoDAcKZBCh4JhM09B1CoUmi0SVPzgcQCARY\nWFjwrMDyKmD4NsnkBvX6V9pt9zvL1WaHzydVzxU7oiv41qs5rMM3kFqHgLtZZjdJj0eZSUTutpMg\n2F3Bw9f2nNtPxH2B1SclvcHRReNuywPhKmD4lW0t7iEvliZ4f6TT6rg/pJw7yxFUgjybeub6uf4b\nHmqSG+/fQ7dL1OWA4dusTKwQDUQ9KbC6XYvSN8OTgOGbKIpCdH2dhkdOgsW9T4zPp4hp3v6ccw+T\nNKptjDP3XctEd8UrB0HBwmO7K+iFTFDXdQzD8LzAUqNBgrMxz5wEdWObpLbuudNuJpOhWCximu7P\ntbw1aoQUhbWEd51I4Dq42TDc39zJFS6wLO9nzp+NxYiqCm+8mMPqmnD41lN5INjPkM3FcbY9jqfx\nnPRLuDyxQ5x/Iu4LrD4R3ZU7bXDRqsHxe0+HPQUbi+O0Ol3+KLq/CNg53WF1cpVIIOL6uf4b6Rf2\nnx60zIV8LeaRwYUgqNqFqxcFVqVYo90wmfO4wAI7cLj155+Yuvs7ycW9XVKPvO1ewffAYS/msFoH\nBko0QHDa2wWrNjNLLDnuSeCwH/NXgvCiRuvAcL0baZo1qtVPaB7KAwXpdJpOp0Op5H4O3xu9xq+J\nKBHV26WUptn3cy8Ch4V8zWvVTki1C1dPOlgnf0D70lNTL8HG4gR7J1WMhseZX17ykwYO3xdYfbKd\nrxBQFdbS3i/mPKO4Y1uJ+3CzETdxt1vmXavL+9P33ssDAaLjML3qiZNgI7dDML1AcHra9XPdJjuT\n5WP5I51ux9XzCIc7Lx0EBdF1ewHZeOeuZfJl5Rzj9ITUY+/mrwTTV9LL0r77mx6tvEF4UUPxIMz0\nJoqikFpZ9cRJ8PDwEEVRWFhYcP1ctwkvanSrbcwLd+daDOM90PV0/kogOoNuywS7lsW2UfN8/gog\nFEoSiz30xElwO3/B4mSMqTHvZ85fJuNsG3U6bke3iGexD5vKm0vjWBbsFO5wF2s+C4HwTxc4fF9g\n9clW/oLVuQTxsDfZUL5w6L2bjkDcyN12Evymf8NoG946CN4k85s9VOvyTnJ9J0ds3ftFDtgFVsNs\nsFfZc/U8pa86oWiACY9svW8Sy9oD0W4HDgvpmtfzVwCBoMrMUoKSyx0sq23SLtY8N7gQpFaecFY4\noFV3d8e8UCgwPz9PKOTdrIdAzLa5bXQhFv5Jzft7z+TkJLFYzHUnwb1aE8PseuogeJPx5Ca6BxLB\nrXzFN8XOCy1Ovdtlt+ayPLnwGiJJmHY/EPs2G4vCPfkOF1jBiF1k3Xew7vk7LMtiO1/5CQwufgct\nDVrK81MrisLGovvheyJg2HMHQUHmFVSPQXdvEdA5P6d9cOBZwPBtRHdQvNZucfxVZ+6Bhupx1wMg\nMDFB6MEDGi4HDhf3dlEUlflfvF8AgN0dLH0zXA0Bbx1eQtci7PH8lSD1eBUsi+M/3dsQsCyLw8ND\nX+SBAKGFMQgorgcO6/oWkcgCkcisq+f5KxRFuQ4cdhMxG+S1wYVAS67TbBZpNo9dO8dZtUn+vM6m\nTzPn4rV1PXC48Lst3fdY6gkwNRZmaSp2t50EwV7zHL4FD0PA/ea+wOqDb+UalVr7bs9fgb3L4IM8\nULCxOMFuyaDWck9a9u7sHbFgjEfj3rkk/jc8CBxu5OyuStRjB0HBA+0BWlhzdQ7L7HQ5LVR9kQcK\nYuvrrnewjvc+Mb30gFA06up5/o75hxqdpsl50b0QcGG+4LWDoEDY37tpdFEul2k0Gp4bXAiUoEoo\nNea60YVubPsiDxRkMhlKpRKtlntSyLd6jXhAZTXuz2fSi8Bh0VXZ8GlT+VEsQjKouhs43GnC8Ttf\n5IGCzcWJu93BAlu10zLgzLu8Qb+5L7D6YOv6ZnOHHQTr51De87XAerE0TteCXME9SVLuNMfzqecE\nVZ+knql1UIOutszrOzugKESz/nTpFEUhO53l3Zl780lnhSrdjuWLwYUgup6lUyzSdmmo3rIsbCZp\nPQAAIABJREFUjvZ2fZEHCsTr66ZMsJ2vomphAuMem85cEU+Ok5ydd7XAEl0VvwossAvYVr6K5VI3\nst2uUK9/u3a684NMJoNlWRSLRdfO8daosanFCHjskijQEmsoSsDVAmsrX0FVYD3jz5pHVRQ2tbi7\nRhfFHHTbvoxECDYXJyhU6pwYTd+uwXVEAfsTBQ7/sMBSFOX/UhTl3xVF+X/+5t//4+p//8P5y5OL\nrYMKkaDK05Q/O6yeIKzDfdzNEbtlbrXM2902H8sf/TG4EISidqChizebxvYO4UePCCT8kVyBLRPc\nPd+l3qm7cvzjP68MLh7695kUDo2iY+g0+skxDUP3tcCamIsTjgZcDRxuHRi+yQMFqZVVV50EC4UC\nwWCQ2VnvpXOC8GICq2nSOXXnM/l9/sqn+Va+OzS6JRNsdbvkjLovBheCQCDK2NhTdwusgwqP5xKM\nRfybOX+hxXl/WadhuiQtE89gX1U7dgHr9uy5r8ysQjjxU81h/WOBpSjKKwDLsv4FVMTfb/z7vwP/\nsizrP4FHV3+/s2znK6ylk4QCd7jxJ3750y99u4SZRITMRMw1J8HP559pmk1/Cyywi1iXNMmWZVHP\n5Yhl/f0ZszNZTMvkj/Ifrhy/tK8T00JoU/7IdACiz59DIGB3DF3gu8GF9w6CAkVVmF1OXjs2Ok23\n3qFzWvdNHihIrayinxxT092R6xweHrKwsEAgEHDl+L0gTETckgleF1hJ/wosTdNIJpOuFVgfLhu0\nLMu3+StBMrmObuy4Yrtvz5xf+CYPFLxMxulY8K7qzoYAh69hbA6S/nWVs5lxVOW7SupOogbsdeVP\n5CT4o0rh/wbEKvcLcLuAenTjv325+vudpGN2yRV03282rnP4xnbSifn7c24uuRe+lzuzOw2+F1iZ\n36B5AeUvjh+6Uyxinp56HjB8G/EauzWHVdo3mHuY9DzM9CZqPE7k8WPXAoePPn8iEAox8+ChK8fv\nlfmHGqf5Kmbb+Q2BVuFq/sonB0GBsME/dkEmaJomR0dHvsoDAYJzcZSwSjtfdeX4urFDPL5CMOjv\ne5nJZFxzEhSStZc+drDADhzudC6o1/cdP3ahUufssuX7zLnoEroWOFx4bT+LfXyGjEWCrM5pd7uD\nBXaBVdyBjrsxEbLwowJrAijf+Pt/C9OxLOs/r7pXAK+A/7p9gCv54H8pivJfJycnQ12sn+yWqtTb\nJptLd3j+Cq7cdPxrlQs2Fif4Vq5RvnT+g5g7zTERmWAxsej4sfsi454m2a+A4dvMxeeYi8254iTY\nanQoH136anAhiK5naey4s5N8vLfL3PIjAkF/oyHmlpN0TYtTFxbmrQP7mH5LBOd/WQFF4cgFmWCp\nVKLT6fjmIChQVIVQJuGKk6BlWej6lq/dK0E6naZcLlOrOb8wf6PXmAoFWIp6nw11E2GD74ZMUDj5\n+uUgKFiIhJgLB92Zw2rocPrJV3mgwHZPrrgeAu4rmVdgtuDYXVMoWXBE63YlHXxtWdb/0fu7KsL+\nzbKsf/NTdz4sYmfhTlu060dgHElzswF3NMm50xxr02u+dj0AmHkKobgrLfNGbgdCISLPnjl+7H7J\nzrhjdHHyzQAL5pb9n4mMrW9gXlzQPjhw9Ljdrsnxl8++BAzf5trowgWZYCtvEJyOosa9z4a6STgW\nZzqzxPEX5ztYopvidwcL7E5h66iK1XG2G9lsFmm1TnzJv7qNeJ3d6GK9vQoY9vsZMja2iqpG0Q3n\nC6ztfIVwQOVZyt8NLEVReJmMu+MkePQWsKTYVN5cmuC81iZ/7pIUUgaEkchPIhP8UYFVAaau/v8E\ncPY3X/fvlmX9v45dlYRs5S/QokEeTo/5fSnu4WPA8G3WM+MoivPhe7V2jb3Knv/yQIBAEBZeuDL0\nWd/JEX36FDXs7w4r2AXWvr7PRdPZ91IYLsz76CAoEFljTs9hlfMHtJsNXw0uBInJCLFkmGMXnATb\neYOQz/JAQWrlCcW9Xcd3kguFAtFolKmpqR9/scuElzToWLSPnV20ioW+nw6CAtEpdLrAuuyYfLps\n+BYwfBNVDaJpa+50sPIVnqeThIP+z5y/0OJ8rjXRO6azBxbPXgk2lcXmvVuz51IwvgTxmZ/G6OJH\nn5z/yfe5qkfAvwAURblu4yiK8h+WZf1/V///zppcbB1U2Fgc9yXM1DMKv9vW4Sn/5R1aNMTKbMJx\nJ8GP5Y+YlilHgQX2jb24DWbbsUNa3S6NXI6oTwHDtxFhzk53sY6/6mjTUWKa/0VkZHUVJRKhse1s\ngSUMLuYlKLAURWF+WXPcqt3UW5gXLd/nrwSplVVqFxWMU2cl7YVCgXQ67XvXA24YXTgsE9T1bRQl\nSCLx3NHjDkI0GmV6etpxo4vtap0u+OogeJNkcgPDeEe361xupNm12Mlf+C4PFIjXestpmWDhd5h8\nCHH/Nz2epjTCAfVuBw4rir3muS+wQEj+rgqnyg0J4P++8d//h6Ioe4qinLt6pT7SaJv8UTTutjwQ\n7F/6uecQivl9JcCVJjl/4ehOsjBbkKbASr+ETgNK7x07ZOvrV7rVKjGfAoZvszZ9VWCdOltglfZ1\nKeavAJRQiOjz59Qdtmov7u0SjsWZWvBfVga2TPD8uEar7txi7nvAsL/zVwLRLSzuOTeH1Wq1KJVK\nUsgDAQKTEdR40HEnQV3fJpF4SiDgT5bZbTKZjOMFlpgF8ttBUJDUNuh2G1xeOidr/XJS5bJlSmPq\nJV5rx2WCh2+kkAcChIMqv6aTd9tJEGyF1MlHaLobdi4DP+z9Xs1Q/euGmQWWZf129ee/LMuatCxr\n5erPf7l5sX7x/kin07Wkudm4gmXZEkEJ5IGCF0sTnFabHF00HDtm7ixHaizFTGzGsWMOhXi9HdzR\naVzJ1GI+OwgKxiPjLCeXHXUSrBstjLOGFPJAQXR9ncb791gd54qP4t4nUiuPUVT/ZTpwNYdlQemb\ncw/HVt4AFUJpOQqsmeVfCASDjgYOF4tFLMuSpsBSFIXwkkbbwQLLsroYxo4U8kBBJpOhWq2i6851\nXd8aNRajIWbD/s4LCpLJK6MLB+ewxCL/hSSmXpOhIA9jYWcLrGoJLg6kWvNsLo6TK1xguhQCLgXp\nV4AFR1t+X4nryPHUlhzRsr3TDoLlL9C4kGY3B9wJHM6d5shOS9K9AlueEJty1Emwvr2DEo8TfiRP\nasLa9JqjBZaYA/IzYPg2sfUsVr1Oc2/PkeN12m1O9r8y72P+1W2EoYiTMsHWgUFobgw17F821E2C\noRCzy784Gjgsuih+OwjeJLSo0T6u0W05M9dSq32l0zGkMLgQuBE4/EavSSMPBIjFlgkGx9F15xas\nWwcVEpEgj2bk2PQAWyb4xkmJoETzV4KNxQlqLZPPJXciFKTg2j357ssE7wusHtjOXzCnRUgl/Qsz\ndR0JbzbPFzRCAcWxlvlF84ID4+B6JkgKFOUqfO+NY4es53aI/forio9hprdZn1mnVC9RqpUcOV5p\n3wAFZh/IU2BFryzxGw4ZXZzsf6FrdliQqMCKJcIkZ6KOOQlalkW7UPU9YPg28ytPOP7zM5ZDIeCH\nh4fX4beyEF5MgAXtgjOLue8GF/IUWKlUClVVHSuwzlodvjVaUhVYiqKQ1NbRdefmP7fzFbKZpFQz\n5y+TcQ6bbUpNh+aVD1+DosKCPB1XkTl2p40uxmZg4sFP4SR4X2D1wFa+wsbihBTDya5x+BqCMZj1\nfzhZEAkGeL6QdMyqXcwArc/IIZ27JvMblD5A63LoQ1mtFs0PH4luyLPIAecDh0v7OlMLY4Sj/mZD\n3SS8vIyqadQdChwWHRQZDC5uMvcw6ZiToFlu0K11CPmcf3WbhcdPaNXrlA+dWZgXCgVp5IGCa6ML\nh2SCur5NIBBnbOyxI8dzglAoxPz8vGNOgltXEjUZHARvkkxucHn5B6Y5vJy+2TH5cGT4HjB8G1HU\nOiYTLLy21ztheZyhH82MoUWCP0Hg8CtX8j9l477A+gEX9TZfTi6lcdNxjcLv9k5OQJ4FK9hGFzv5\nC7oOaJJF2O2v078OfSxHybwCy4Sj4TX0jU+7WK3WtW24LDydekpACThSYFmWRemrLkX+1U0UVSWa\nXaO+48wsRHFvl/j4BNq0JPOCV8wtJ6mWm9T04UPAhYudLA6CAieNLur1OuVyWSp5IEBACxOYiDjm\nJKjr22iJNRRFns452DLBQqFA14Fu5Bu9hgJsStTBArvAsiwTozq8kdDHI4OW2ZXO1CurxVDBGZmg\nZdlrnszL4Y/lIKqqkM2MX4c831kyr6DyDS5P/b4SV7kvsH5ArnCVZi7Zbo6jmB17cS+RPFCwsTiB\n0ezw5XT47k7uLMfD5EO0sFyLueu5Nwda5o2cXUQKuZosxIIxVidXHSmwjHKDutGWxkHwJrH1DZqf\nduk2m0Mfq7i3S+rxE+k65/MOBg638lUIqoRSci1YJ9MZQtGYIwWWTAHDtwkvJuz3YEi63TbV6nup\n5IGCTCZDs9mkXC4Pfay3Ro3H8QiJoFxF5LXRhQN5WKJ7siHZpvJYIMCzsagzHazKPtTLUs2cCzaX\nJvhY1Gk6nfklE9eBw86NRsjIfYH1A7Ykvdk4yskH6NSlctMRvLgqbIdtmVuWRe40J588EECbh+Si\nI0Of9Z0dApOThCRczK1Nr5E7yw1tu38dMPyLfAVWdD0LnQ7NDx+GOk6zVqN8mJciYPg2sw80FAVH\nZIKtvEE4PYYSkOtRpKoBUo8eO+IkKKPBhSC8pGGWG5iXw821XF5+otttSltgwfCBw5Zl8daoSScP\nBIhE5olEUhgOzGFt5S+YSYTJTMgR13KTF8k4b/Xa8NEt1zPn8q15NhfHaZsWH47usI35wiag3HmZ\noFxPNQnZOqiwPB1nIu5/mKlriF/ytFztcoCV2QTxcGBoJ8Hj2jGn9VO5DC5uknnpyM2msb1DdD0r\nXdcD7Dkso2Xwzfg21HFKX3XUoMJ0Rq65HYDYVeewPmTg8PGXz2BZpCQyuBCEIgEmF8auC91Bscwr\ngwvJ5IGC+ZVVTr5+wewMV3wUCgWmpqaIxeRbsIauXvth7dovrhzsZCywZmZmCIVCQxtdFJptTlod\nqQwubpLU1q/fh2HYOpB35vyFFue8Y7LfGFKeXPgdAhGYl289sLHkvHuydEQ0mH16550E7wusH7Cd\nv5BOi+w4hdcQnYApeWy9BQGhSR7SSVAYXEgTMHyb9Cs4/xNqg8tYupeXNPf2pAkYvo3oHg4rEyzt\n68xkEgSC8t2+gvPzBGdnqeeGK7CENE3GDhbYMsHSvj7UTnK7VMNqd6VzEBSkVp5gdjqc7H8d6jiH\nh4dSygMBwpkEKAwtEzT0HUKhSaLRJYeuzDkCgQALCwtDF1iyBQzfJpncoF7/Srs9+LOy2uzw+aQq\nrWJHdA/fDjuHdfgGUusQkCPL7Cbp8SgzicjddhIEu3t4+Nqeh7ujyLdCkYiS3uDooiHtzcYxCq/t\n+SsJd6zAlgm+P9RpdQYfUt453SGoBHk29czBK3OQa03y4Ds6jffvodslKknA8G1WJlaIBqJDFVjd\nrkVp35AqYPgmiqLYgcNDdrCKe58Yn08R0+T8OeceJmlU2xhng7uWta/MFWRzEBQsPLa7h8PkYem6\njmEY0hZYajRIcDY2tNGFrm+R1Nal7HqALRMsFouY5uBzLW+MGiFFYS0hXycSuA541o3B7z07+Qss\nS96Z82djMaKqMpzRRdeEw7dSygPBfoZsLo7f7Q4W2IqpyxM77PmOcl9g/QOiayLrzcYRWjUovZdy\n2FOwsThOy+zyR3HwRUDuLMfq5CqRQMTBK3OQ9Av7z8LgQ5/CHjwmmcGFIKjaBe4wBValWKPdNJmT\ntMACO3C49fUrpj74jFJxb5fUIzm7V/A9cHiYOaxW3kCJBghOy7lg1WZmiSXHh5rDknn+ShBe1Gjl\njYG7kaZZo3q5iyahPFCQTqfpdDqUSoPn8L3Va/yaiBJR5Vw2aZp93zeGMLoQs86yqnZCql3gDmV0\ncfIHtC+lNPUSbCxO8OX0EqPhUOaXjPwEgcNy3ikkYTtfIaAqrKXlXcwNTXHHtgiXdDcHvt/sB22Z\nd60u70/fy2lwIYiOw8yT4TpYuR1C6TTB6WkHL8xZsjNZPpY/0u4O9uAQznUyF1jRdXuh2Xg3mGXy\nZeUc4/SE1GP55q8E01cSzdL+4JserbxBeFFDkSjM9CaKorDw+MlQToKHh4f2cRYWHLwyZwkvaXSr\nbcyLweZaDOM90GU8KU9g621EB3FQmWDXstgyarxMypOZdJtQKEk8/stQToLb+QuWpmJMjck7c/4y\nGWfbqNMZNLrlUF6DC8Hm0jiWBTuFO2zXPp+FQPhOBw7fF1j/wNuDCqtzCeJhubKhHEUYK0i8m7M4\nad/wB22Z7+v7GG1D3vkrgQjfG3Anub69I509+22yM1kaZoO9yt5A33/8VScUDTA5L+ccBEAsaw9O\nD2p0ITomss5fAQSCKjNLCUoDdrCstkm7eCmtwYVg/tEqZ4UDWvXBdswLhQLz8/OEQvLNegiuA4cH\nlAnqV8YKMnewJicnicViAxdYn2tNqmaXF5qc3VZBUtsYqsB6e2VwITMvtDj1bpdPtQHlyYXfIZKE\nqRVnL8xBxHtwp/OwghG7yLrvYP18WJbFTuEnMLg4fA1aGrSU31fytyiKwsbiONsDGl0ISZq0DoKC\nzCuoHoPev51w5/ycdj4vXcDwbUSRO6hMsPRVZ+6BvF0PgMDEBKEHD64zyfqluLeLoqjM//LY4Stz\nlrnlJKVvxkAh4K3DS+jaOUwyk3q8CpbF8Z/9bwhYlsXh4aHU8kCA0MIYBJSBnQR1fZtIZIFIWK5A\n7JsoikI6nR7Yql1I0mQ1uBBoyXWarWOazeO+v/es2qRQqbMp+cz5i2GNLgqvbUm+pFJPgKmxMEtT\nsaHjaaQn88qeh3MgBFxG5P0N85lv5RqVWvtuz1/Bd4MLydlcnGC3ZHDZ7PT9ve/O3hELxlgZl3fH\nChjK6KKRswsWIU+TlQfaA7SwNlCBZba7nBaqUssDBbH19euZuH453vvE9NIDQtGow1flLPMPNTpN\nk/Ni/yHgravFvKwOggJhkz/IHFa5XKbRaEhrcCFQgiqhhbHr96RfdGP72mBBZjKZDKVSiVarfynk\nW73GWEBlNS73Z1LINAfpYokNTNk3lR/FIiSD6mBzWO0GHL+TWh4o2FycGHhTeWTI/AYtA86GzxuU\nkfsC6294e/ATBAzXz6G8NxoF1tI4XQtyA2iSd053eD71nIAacOHKHGQ+C2pwoDys+vY2KArRNbm7\ndIqikJ3ODlRgnRaqdDsWc8vyF1jR9SydYpF2n0P1lmVxtLcrtTxQIArdQWSC7QMDVQsTGJfUdOaK\neHKc5Oz8QE6CQo4me4EFwuiiitVnN7LdPqde/yZl/tVtMpmM/fk6Our7e9/oNTa0GAFJXRIFicSv\nKErwWrbZD28PKqgKZDNyr3lURWFTiw/mJHicg25balMvwebiBIVKnROj6feluId4H+5o4PB9gfU3\nbOcviARVnqbk3mEdisMrx7oRuNkITXK/Ozrtbps/yn/IP38FEIrawYcDaJIbOznCjx4RSMg7hC3I\nzmT5XPlMvVPv6/vEQn7uofyfSeHkKDqLvaKfHNMw9JEosCbm4oSjgYECh1v5qvTyQEFqZXWgDlah\nUCAYDDI7O+vCVTlLeDGB1TTpnPb3mdR1Wwab1OSe/YTvTo79ygRb3S7vqnVpA4ZvEghEGRt7cv2+\n9MN2vsLjuQRjEflnzl9ocT5c1mmYfUrLxLN1BDaVxeb+nZYJzqxCOHFn57DuC6y/YTtfYS2dJBS4\nwy+R+KVOv/T3OnpgJhEhMxHr20nw8/lnmmZTbgfBm2R+61uTbFkW9VxOWnv222RnspiWyR/lP/r6\nvtK+TkwLoU3JLdMBiD5/DoEA9Z3+FjrfDS7kdRAUKKrC7HLy2tmxV7r1Dp3TuvTyQEHq8RP0k2Nq\nen+bO4eHhywsLBAISN4557tUs1+ZoC1FU0gm5b/3aJpGMpns2+jiw2WDlmVJ7SB4k2RyA93Y7st2\n37IstvOjM3P+MhmnY8G7an8bAhy+hsQ8JOXvKmcz46jK97igO4kasNefd9RJ8A5XD4PTMbvsFC6k\nd9MZmsJrmH4MsdH4OTeXxvsusHZO7QWu9AYXgvQraF7Y0s0e6RwdYZ6eEpXc4EIguonivemV468G\ncw+T0oaZ3kSNx4k8ftx34PDR508EQiFmHjx058IcZv6hxmm+itnufUPgev5KcgdBgegm9mPXbpom\nR0dHIyEPBAjOxlHCat9OgrqxTTz+iGBwNN7LTCbTd4ElpGiyOwgKkskNOh2dev1rz9+TP69zdtli\nY0RmzkU38U2/c1iF3+1n7Ag8Q8YiQVbntJ8jcLi4A53BYiJk5r7A+gt2S1Ua7S6bS3JrkYfm8PVI\nyAMFG4sTHJTrlC97/yC+O3vHRGSCxcSii1fmIAOE78keMHybufgcc7G5vuawWo0O58XLkZi/EkTX\nszRyub52ko/3dplbfkQgKL9MB2wnwa5pcZqv9vw9rauvHRWJ4PwvK6AoFD/3LhMslUp0Oh3pHQQF\niqoQyiRo9/E+WpaFrm+PRPdKkE6nOT8/p1brfWH+Vq8xFQqwFJU3G+omSc2eh+tHJvjd4GI01jwL\nkRBz4WB/ToINHU53R0IeKLDdkysDh4CPBJlXYLbs+bg7xn2B9RfInmbuCPohGEcj4aYj2Lyew+p9\nRyd3mmNtZm0kuh4AzD6D0FhfLfNGbgdCISLPnrl4Yc6Sncny7qz3IN6TbwZYMD8CDoKC2PoG5sUF\n7YODnr6+2zU5/vJZ6oDh21wbXfQhE2zlDYLTUdS4vNlQNwnH4kxnljj+0nuBJeZ8RqWDBbZMsHVU\nxer01o1sNou0Wicj4SAoEO9HP3NYb40aL7WxkXmGjI2toqpRdKN3J8HtfIVwQOVZajTur4qi8DIZ\n789J8OgtYI1UgbW5NMF5rU3+vE8p5CgxhHuy7NwXWH/B24MLtGiQh9OjobkeiBEa9hSsL46jKL2H\n79XaNT5XPpOdHg3pHGBrkhc2+3LVqW/vEH36FDU8GjusYBdY+/o+F83e3svjETK4EIhMsl4Dh8v5\nA9rNxkgYXAgSkxFiyfD1+9ML7QOD0IjIAwWplSccff7U805yoVAgGo0yNTXl8pU5R3hRg45Fu0fb\nfWEFLjomo4DoKPYqE7zsmHy6bPAiORryQABVDaJpa305Cb49qPA8nSQcHJ0l4Qstzudak4t2j9Et\n4pk6Qqodsan89i7LBMeXID5zJ40uRufT5CHb+Qobi+OoEoeZDs3ha9sSPDU68o5EJMjKbKLnDtbH\n8ke6Vnc0HARvknlla5LN9g+/1Op2abx7NzLzVwIxE9drF6v01UCbjhJLjE4RGVldRYlEaPRodCEM\nLuZHqMBSFIX5Za1nq3ZTb2HqrZGZvxKkVlap6xcYpyc9fX2hUCCdTo9M1wO+z8S1epQJ6sY2ihIk\nkXju5mU5SjQaZXp6uucO1na1ThdGwkHwJsnkBobxnm73x8WH2bXIFS5GRh4oEO/JttFjd6fwGiYf\nQnx0Nj2epjTCAfVuOwkqir3muS+w7j6NtskfReNuywPB/mWe+xVCo7MzB/aOzlb+oqedZDHjM5IF\nVqcBpfc//NLW1690q1VikgcM32Zt+qrAOu2xwNrXR0oeCKCEQkSfP6feo1V7cW+XcCzO1MLoyMrA\nlgmeH9do1X+8mPseMDwa81cCIdvsxeii1WpRKpVGSh4IEJiMoI4Fe3YS/P/Zu/PwOKo70fvf05v2\n1r5Ym2153xfMZjCBwZ5MhpAwAwFCwAsEM+9M5v3rfZI7975/3zzJf/dm5s0FErxAYAwEwiRkMthA\nggGzeJFtybtla5dlrd3ae6n3j+6S23J3S7K7VV2l3+d5/FjuKlX9jmvpOnXO+R2P5wTZ2Uux21N7\nLrOJ9EQXU/kO0cf4rHWbrIKVs5pgcITBwcm7tTZcHWBwLGC6Zx79mEy5m2DbMVMNiQBwOWwsL3db\nO5MghI7L1TMwenOTnacqqWBNUN/mwR/UrJ1BUNNCLVgm6h6oW1OVS9fAKG39I5OuW9dVR1lWGUUZ\nRTMQWQJNY/K94ROhbjoZJmvByk3LZa577pQyCQ57x/B2j5gqwYUufdUqRurr0fyTVz46Lp6jbMFC\nlM1ct+WSeW7QoLNp8i/HsWYv2MBZbq4KVvHcedgdDtqnMOFwR0cHmqaZroKllApNODyFTIKaFgwn\nuDDXix0IVbAGBgbweCZvdT3mHaIy3UmxyxzjBXX6cZlKN0G9+5nZknrlOx3My3BNbcLhgU7obzZV\n90Ddmspc6lr7CUxzEnBTKV8PaNA+/QmyU5m5vslnwHiCC5PdbKalpwFG+k15sxmfcHgKfZLruuvM\nNf5Klz8PMgqm1GQ+crIOlZmJq6Ym+XEl2IrCFVNqwTLj+CtdxqqVaCMjjF6Mn3bf7/NxtfEypSaY\n/2qikrmh4zKVboJjLV6cJVnYXKk/N1Qku8NJ8dz5XJnChMP6+B6zZBCM5KzMwd85RHAsEHe9oaHL\nBAIDphp/pZvOhMO1niHTdQ8EyMiYi8ORO6VEFyda+slOc1BTZK6XHhDqJjilFiwTjjnXra7MY2gs\nwIXOqWf4NJ2byJ5sBlLBmuBESz8lOWmUuVN/MtObNn6zMVdzOcCyOTk47WrSJvP+0X6avc3m6x4I\n1/oktx2bdNXhupNkrFiBMsFkphOtKlpF53AnVwavxF2vs9GLUlBcbb4KVno4df5k47CuNjYQDPiZ\nY8IKVka2C3dR+qSZBDVNY6xlwDQTDE9UtnAxVy5dIBiMX/loa2sbn9TWbFxVOaCBrzX+w5z+4G7G\nFqyysjJsNtukiS66x/w0jYyZZoLhSEqp0ITDU0jVfqKlj1UV5hxzvs6dSduojyujk4wJ6MsLAAAg\nAElEQVRXbjsKyhZKIGUya8Jzk013DlBTySqCvGrLZRKUCtYEx5v7WF2ZZ6rBydPWegQcGaGU4CaT\n5rCzbI570sn3TDv+Sle+PjQGayx2Ri9tbIzRU6fHH+LNRj82dd3xxyh1XvaQPycLV7o55oaK5Jo7\nF1tOzqSZBDvCXc/MlOAiUsk896SZBAPdI2jDfpwmmf9qorIFixkbHqa3Lf6DeWtrq+m6B+r0uckm\n6ybo8RzHbs8kK2vhTISVUE6nk9LS0kkrWHrLiFkmGJ7InbOKwcGzBAKxk0CM+gOcavew2qQ9dvTW\nxUlbsVqPQPEycJmvslxTlEVOmmMWTDi8flrZk81AKlgR+od9NHQNmi6bzrS1HQ29ybGb74EVQpPv\n1bX2E4zTJ1mvYC0vXD5TYSVWxXrQgtAeu4vHyLnzaD6f6cZf6ZYULMGu7HG7CWqaRmejZ7wbmtko\nm430lSsYrpukgnXxPJm5eeQUmmy8YFjJXDcDPaMMeWJPAj6e4MJkGQR1evr8jjjdBIeHh+np6TFl\n90AAe7YLe17apIkuPJ6T5GSvQCnztZxDqJtgW1sbwWDsOb9qPUMoYI0JuwhCqHVR0wJ4B2InSzrT\n7sUX0EyX4EK3MicDG8SfcFjTQr12KtbNWFyJZLMpVlbkjk8GbVkV66GvCQa7jI4kYaSCFaGuNTyb\neZU5bzZTEvCFHtpN2D1Qt6YyD++on4au2K07dd11zM+dT47LnA9z4+Pj4jSZj4Qf2tNNlkFQl+HI\nYFH+ovHKcDTenhGGvT7TZRCMlLFqNaPnzhMciZ2YpePiecoWLjZty3npFCYcHmsZAIcNZ5k5H1jz\nyytwZWTEzSRoxgmGJ3JV5cRN1R4M+hgYqDdl90BdRUUFo6Oj9PT0xFyn1jvEosx0sh3mrETqE0Dr\n85VFc23MuTmfebLsdpZmpcdvweprhOEecz/zVOVxpsPDiC9+92RTG59wePKhEWYhFawIejad1VZu\nweo8Df5hUw721I33SY7RZK5pGnVdJk1wocspBXdl3Cbz4RMnsefn46ww59tyCCW6qOuui5kyufNy\n6E16iYkrWOmrVoLfz8jp01GXjw4N0dPWYqoJhicqrs5BKeJ2Exxr9uIqz0LZzfm1Y7PZKZ2/cLw7\nZzRmTnChc1VmE+gZITAYfVzLwOBZgsEx01ewIPaEw5qmccwzZKoJhidKSyshLa0sbgWrtrmfomwX\n5bnmHXO+1p1JrWcodtp9E04wPNGaylx8AY3T7VOf0N105qwBlKW6CZrzmy5JTrT0Mbcwk7xM80xm\nOm16i0i5OZvLARYUZ5PpssecfO/K0BW6hrvGJ7M1rYp1cbPqjJw8SfqqlaZt9YDQOCzvmJcmb1PU\n5Z2XPdgcisIKc47bAcgYT3QRvaXuSsMF0DTKTJjgQudMs5M/J2u8QjyRFtDwtQ2YtnugrnTBIq42\nXiLgj175aG1tpaCggIwM8z6YO8PHyBejm6D+wG7mClZRURFOpzNmJsHWUR9dPr8pMwhGcuesmrQF\ny+xjztfmZNLrD9A4EqN7cutRsKdBqXmfB1aHXypbuptgWg4UL7FUJkGpYEU40dJv2r7IU9Z6FNLz\noMB8ab11dptiVUVuzEyC+pieVUXmTP4wruI26L0EQzd2YwkODjJ68aLpJhieSD9GsboJdjZ6KKrM\nwe4w763KUVqKo7g45jgsvcuZmVuwINRNsLPRE/VNsq9zCM0XNG0GQd2chYsJ+P1cbbwcdXlbW5up\nuwcCuCqyQRGzm6DXcxKnM5/09KoZjixx7HY7c+bMidmCpY/pMWMGwUhu9xqGhy/j8934XTkw6ufC\n1QHTP/Os0yccjjUOq+0YzFkNdnPNZRapPDedouw0a2cShNAzT9vR0Lg5CzDvU0uCdXpGaO8fsXb3\nQAgP9lwfSgVuYmuq8jjV5mHMf+Mg5ZNdJ3EoB0sKlhgQWQLFGYc1cuoUBIOh7mcmtiBvAen29KgV\nrGBQo7PRS6lJE1zolFKhCYdjZBLsuHiO3NIyMnLM2w0SQt04RwZ8eLtvHGvmC2elM2sGQZ3eyhit\nm6DH48Hr9Zq+gmVLd+AozoiZSdDjOY47Z5WpWz0g1E2wo6ODQODGcS3HvEM4lWJ5tnm7zkHEhMPe\nG+89J1v60TRMm0FQtzQrg3Sbij7hcDAAbbWm7h4Ioe+QNZW5syCT4DoYvBqaFNoCpIIVpreGmHWw\n55SMDYVSf5v8ZgOhcXJjgSBnO258CKjrrmNR/iLS7GkGRJZA5WtDf7feOOhzONzdLMOkKdp1DpuD\npQVLo1aw+jqG8I0GTD3+SpexaiVjly8T8NzYh77j4nnKaszdegXXJhyONg5rrMWLSrfjKDRv1zmA\nnKJiMty5UTMJWmH8lc5VmcNYi/eG1shAYIiBwfPkmLh7oK68vBy/309nZ+cNy2o9QyzPTifNZu5H\npJyc0PeDN0o3wfEEFyZvwXLaFCuyM6Inurh6FnyDph5zrltdmUdD1yDekUnm/DIzi004bO67RwKd\naOnDblOsKDf/w1xMHSdBC5g6m45O/1KY2GQe1IKc6jpl/u6BAOm5ULQ4egtW3Umc5eU4CgsNCCyx\nVhat5EzPGXzB67849Ix0Vqhg6ZkeR+qvT0k/2NeLt+sqZQvNO/5KV1iRjd1ho7PxxpceYy1eXJU5\nKBNOZhpJKcWchYujZhJsa2sLLZ8zx4DIEstVlUNwwEeg//pxLV7vKSBIrtt8E7ZOFCvRRVDTOO4d\nMn33QACn001m5vyo47BOtPRTVZBBQZb5x5yvc2dywjuMf+LULfp3pxWeeapy0TQ42WrhcVilK8Hu\nssyEw1LBCqtt7mNRSTaZLnPODTUlenYWC7zNqcwPfTFMbDJv9DTi9XnNO8HwRPrkexPeJA+fOGna\nCYYnWlm0kpHACBf7Ll73+ZXLHpzpdvJLzT3QHCBjZWiA9cQJh/WWELOPvwKwO2wUVWXTOaEFS/MF\n8HUMmj7Bha60ZhHdrc2MDV//xry1tZXS0lKcTvOO9dDpx2piN0GP5ziAJVqw8vPzycjIuKGCdWFo\nlIFA0LQTDE/kzlkdtYJV2xxKcGEFa3MyGQ4GOTc0oXty6xFIc0PBAmMCSyD9WB1vtnAFy5EWqmRJ\nC5Z1aJrGydZZkOCi7SjklENOmdGR3DKlFKsrb5x8T+9qZvoMgrqK9TBwBTzXsl35e3vxtbSYdoLh\nifTK8MRugp2XPZRUm7/VA8Cel4ezunp87jJdx8XzKGWjdP5CgyJLrJK5bjqbvNdNAj7WNgjBUPpv\nKyhbuAg0jSuXrr0Q0DSNtrY2S3QPBHDOyQK7uiGToMdzgrS0OaS5zDkhdiSl1PiEw5H0rmZr3eZ/\nsQOQ417F6NgVRkevjH/WPTBKa98waywy5nxtrEQXrUdDXe1N3tUToCDLRVVBRszsyZZRsT40bi7O\nJOBmYf6zLgGaeoboG/JZe/wVXEtwYRFrKvM43+llcNQ//ll9dz0ZjgwW5Jr/jRUQMfnetTc6I3Wh\niohZJxieqDqnmhxXznUVrIAvSFfrgCW6B+oyVq0aHzunu3LxHIVV1TjTzT2YXlc6Lwf/aIDejmuT\ngI+FH9LNnkFQN57oImIcVk9PDyMjI6ZPcKFTDhvOOVnjx07n8Z4Yn8DWCioqKujs7GRs7FpXyFrP\nEFl2G4syrXFN5kaZcFh/MWmVl8o1GWm4Hbbrx2H5RuBKvSW6B+rWVOZZO1U7hI7XmBe6bxznajZS\nwWKWTDA83As9F61VwarKJahBXUSf5JNdJ1lWsAy7zW5gZAlUuhJsjusm3xs+cQKUIn2FNVrplFKs\nLFx5XQWrq3WAoF+jZK51Kljpq1bi7+jAFx5Ur2ka7RfPW6J7oE6vEEd2E/Q1e7HluLDnmjzpTFim\nOxd3cel1mQT1bmZWqWCBnuhiAC3cGunz9TI83GTq+a8mqqioCF2H7e3jnx3zDLE6JwO7ybMk6rKz\nl6OUY7x7J4SeeWwKVlZY45nHphRrcjKvzyR4pQ6CPksk9dKtqcyjtW+Yq95Ro0NJHv14WWDCYalg\nEXqbk+awsaTMGm9Yo2oLZ6Kz0M1G75Osv9HxBX2c7TlrnfFXAM700ASJEX2SR07W4aqpwZ5t/kHY\nupVFK7nQd4Fh/zBw7QG9ZJ51rsnxCYfDLZCeq1cY8XosVcHKK8nElW6/bsLhsZYBy3QP1JUtWHRd\nC1ZraysOh4Pi4mIDo0osV2U22mgAf1fomvR4Qt1b3TnWGPsJ1zI+6t0Ex4JB6geGTT/BcCS7PZ2s\nrMXjxw9CSb0WlmSTlWadMedrczI5PTjMSCDctUz/zrTQS2W9EcDS3QSLFoEr2xLjsKSCRehkXVHu\nxmm38H+HfrKWrzM2jgQqyk6jIi9jPJPghd4LjAZGrZFBMFLFbeN9kjVNY7iuzvTp2SdaWbSSgBbg\nbM9ZIJRBMCPHSU6BNbrpAKQvWwZ2O8MnQw861xJcmD+DoE7ZFMVz3eMZIIPDfvxdw5bpHqgrW7gY\nz9UrDHlCL3fa2tqYM2cOdrtFWs651qVT7yYY6mKmcLutc+/JycnB7XaPt0CeHhxhTNMskUEwktu9\nGo/3BJqmoWkaJ1qsN+Z8nTsTvwb1A6EXArQdhexScFunVXllRS42dW1aIUuy2UPPqRbIJGjhGsXU\n+ANBTrb2WyabTkytR6FwIWRYq5xrqnLHK1gnu0IPrpZJcKErXw+j/dBzEX97O4GuLtNPMDyR3uqo\nH8Mrl72UzHObfjLTSLbMTNIWLhyfcLj9wjnsTidF1fOMDSzBSufl0NUyQMAXvDb+yiIZBHV6q2PH\nxXMEAgHa29st1T0QwFGciXLZxjMJerwnyMysweGw1rGsqKgYr2DpXcyskkFQ53avxu/3MDx8mZbe\nYboHx1htsTHneqvjMX0cVuuR0Henhb5DstIcLCrJmR0TDnecBP/Y5OumsFlfwTrfOcCIL8gak89m\nPqm2o5bqHqhbXZlHc88wPYNj1HfXk5eWR2V2pdFhJVbE5HtWmWB4opLMEkoySqjrqmNsxE9vx6Cl\nxl/p0letZKSuDk3TuHLxPCVza7A7rNNNB0KZBIMBja6WAcZaBgDrZBDUlc5fAErRceE8nZ2d+P1+\ny2QQ1CmbwlmRja9lAE3T8HhOWKr1SldeXk5vby9DQ0PUeoYocNqpSjf/3FCR3DmhcXMez8mIBBfW\neuaZk+akxOUIZRIc8UDXeUt1D9SFsif33TAJuKVUrIfAWGgcnYnN+gqWVWYzj8vTBt52S2XT0a0Z\nH4fVR11XHSuKVliq1QOA4qXgzIK2o6E0304naUuXGh1Vwq0sWkl9dz1Xm7ygQamFMgjqMlatJtDf\nz2hjI1caLlhiguGJxhNdNHoYa/HiKEzHlmn+uaEiuTIyKayo4krD+fHxO1ZrwYJQN8Gx9gFGhtoY\nG7tqqQyCOv24tbW1UesdYl1OluW+Q7KyFmGzpePxnuBESx8uu42lZda6vyqlWOfODGUSbK8FNEtW\nsNZU5dE75KOld9joUJInSvZkM5r1Faza5n5y0h3MK7RWn+vrWHCwp25VZS5KweHGK1zou8DKQmt1\nnQNCfZLnrIHWI6EJhpcsweay1htWCFWwGj2NNF4IZdmzUoILnT53WfvBT/CNjlgqwYUuOz+NDLeL\nK5c9+Jq9OC3WPVBXtmAx7RfO0dLSQnp6OgUFBUaHlHCuyhzwa/Q2fQ1cawmxEr3l8WJLK+cGR1jr\ntlb3QACbzUFOzgo8nuPUNvexrNyNy2G9x7+1OZlcGBplOHy+WrHXjv5SudbK3QRzqyCzyPSJLqx3\nhU3TiZY+VlfmYrPAZKYxtR0Npfous173juw0BwuKs/mq7QRBLWitDIKRKtajtZ9kpL7ecuOvdPrY\nuUsX2skpTCcj23qVyLRFi1BpabQfD2X1LLVgBUspRencHPou9RPwjFlu/JWubMEihj39tDQ1UV5e\nbrlWD7g2dq7v6jGUcpCdvczgiBIvPT2dwsJCvu7qJQiWyiAYye1eTb/nNHWt/ZbrHqjTj91g02HI\nnweZ1nvpsaQsB5fdZu1MgkqFGgSsXsFSSj2mlNqslPrxzSxPZSO+AGc7vNbuHgihk7RkOTit92YO\nQm90zvWdBrB0BWus109wYIAMi0wwPNGKwlAFq6951JLdAwGU00n6smVcaWnElZFJwRzrdSuDUDdB\n1TMCgKvKWuOvdGULF6MpG109PZbsHghgz0/DluXAO1xHdvZS7HZrzGU2UUVFBSeHQgPq17otWsHK\nWU2bN5fBsYBln3n0Y+fqqLXkkAgAl8PG8nK3tTMJQuj4XT0Do97J101RcStYSqn1AJqmHQD69H9P\ndXmqq2/z4A9q1s4gqGmhFiwLdg/UranKZcR2meKMUooyiowOJznK1zPcHRrHkmHRFqzctFwWpS8F\nr9OSCS506atW0T08QGnNApTNmp0ISua5ybMrUOAst2YFq3juPMjKQdM0y1awlFI4K7MYsp211ATD\nE1VUVNCSlkmFy0Gxy1rjBXVu92oa+qsBLJvUK9/pYL1tAPdgmyW7B+rWVOZS19pPIGjhRBfl6wEN\n2o9Pumqqmuzb/QlAb4dsADZPc3lKG09wYdGbDQA9DTDSb/GbTR72jBZK06zX3Wpc/jxGPDkolx1X\nTY3R0STNau1OwJrjr3SuFcvxuJwU51v0ZQBQOtdNvl3hy3Ric1lnbqhIdoeT9PIqAMtlEIwUrOwn\naB8mJ8OaL3YgVMHqzMlnoQoaHUrSZGTMpcm7iAynn5oia770AHho7GLoB0u/VM5jaCzAhc4Bo0NJ\nnojsyWal4qV6VEq9CLyoadpRpdRmYIumaT+Z6vLwOjuBneF/LgHOJroQYlJFQJfRQcyA2VBOKaN1\nzIZyShmtYTaUEWZHOaWM1jFbyplq5mqaVjzZSkmfgEXTtJeAl5K9HxGbUuqwpmkbjI4j2WZDOaWM\n1jEbyilltIbZUEaYHeWUMlrHbCmnWU3WRbAP0NOw5AHd01wuhBBCCCGEELPGZBWsfYA+4KMGOACg\nlMqLt1wIIYQQQgghZqO4FSxN044ChMdX9en/Bj6cZLlILbOli+ZsKKeU0TpmQzmljNYwG8oIs6Oc\nUkbrmC3lNKW4SS6EEEIIIYQQQkydNSdhEUIIIYQQQggDSAVLCCGEEEIIIRJEKlgpTim1Uyn148k+\nD//7SMQfTSlVE17WG/H5i+HPfqaU2h/+7IaZaydbnmjRyqmUejEcw0Wl1GMRn99Qngm/d1FPxKKU\neiuiHDfMPDiT5YxRxqjxTefz8Hb1/6eUK2PEsvHjEm/9GGVM+fM1Ytl15Yw4j/dHxhbt/DbB+Rrt\nXhLz3jNxO5OtmyJljHo9xbvvTNxOKp2vUWKL910R674TM95o1/VMlzGiXNG+Q45MtTwTr1WTnK+x\nyhjv8+vuR6l8vsaKOWLdaNdq1LKHl6XK+Rrr+WayYxH5fBPt/Px/U+mcndU0TZM/KfoH2A9owI+n\n8nnE8hrgrYk/RyxfD+yf+PNUl89EOYHNhCaxhtAUAL2xyjNhWz8ObyuP0ATXP0uFcsYoY9T4pvN5\n+P/jSMT/zZFUKmO04zLd/xMznK+xyhkuz4sRsenH6obz2wTna9xrL9o6k/xfTfveNENlvOF6ilf2\nidtJpfM13v//xHLFOv/ixRvtup7pMsY5lpsjyhZ57cUqW9RrNcXP11hljPX5DWVM9fM11nGJc61G\nLXuKna+xnm8mOxZR449zfhp6zs72P9KClcI0TdsCvDDVzyO8CDwf/rkGqIl4M1lD6OLeH97WUWDi\nRHWTLU+oGOVpAH4WXt4H9IQ/j1YeAMI/bwH0bJYHgJ9GbLNvwj5mrJwxyhgrvul8/hih6RLQNK0B\neHDCPowuY7TjEm/9aGU0w/kaq5y3TYhNf5sa7fxO9fM15rUXIfLeM9m96rp1w4wuY6zrKWbZo2wn\nZc7XaX5XxDr/osYb67qO9zvJEqOcPYQeXiE0X+fhSWKLda3qUvF8jVXGWJ9HK2Oqn6+xjkusazVq\n2VPpfCX2803MOCaJH6Kfn4aes7OdVLAsJtzUvD980ULowv2ppmnfA35C6MIqJHSBxzLZ8qTTNK1B\n07SGcDeNI4RvRkQvj+5FQjfnnoht9KlQd54jXP/wAAaXM1Z80/y8EFigN/dz483S8GPJhOMST5wy\npvT5GhatnEeAJ2D82gSin9+pfr4S/9qLdu+JKc66Rpcx1vUUt+xRtpHy5+vEYxDn/IsVb7zr2vAy\natemkblI6HjpxyxWbFGv1Yh/p9z5GquMccoerYypfr7GOi5Rr9U4ZU+Z8zXO8028OGLGH+38TNVz\ndjaRCpb1/AsRcyNomnZU07S39Z8JvdEZ4doE0dF0T7J8RoT7Yb8FPK9p2ksQvTxKqTyl1E5CN5Mb\nbhyapr0ALAhvK1JKlDNWfFP8vBsoCL/5e3DiuhhcxnjHJZ4oZUzp8zVWOcPnbYNSaj+ht4+RX4A3\nnN/h30nJ8zXWtRexynX3nknEWtfoYxn1eppC2SduI6XP17CoxyDK+XdDvFO4rg0vYzjGo5qmLSBU\nnpfDi6LGFu9aJUXP11hljPV5jDKm9Pka57hEvVajlT0Vz9cY9/+ocUwh/mjnZ0qes7OJVLAsRO+2\nMuEtxo/VtQHmNYTefrxH6EZFeADo4QmbOjDJ8qRTocmrt2iadpv+Rir8+Q3lCZf3NmBL+Ca8AfhQ\nKfW/wjcmCJW7YMJuDC1neKDpDfFN8/OjXGuxi9ZyYPSxjHZcYj2YxirjZGUwuowQo5zhc3R/+CHg\nxXCsUc/vWMc9gtHna6xrL+q9J8524q1r9LGMej3FK3sUKX++xviuiHX+RYt3suva8DISerjuDv8c\n+dY/amxxrtVUPl9jlTHq5zHKmNLna6zjQuzvvmhlT6nzNdbzTZw4YsYf41pO5XN21nAYHYBIqPE+\nyTpN036uQuMGjoQ/+p6maUeVUkfDFyuE+zyHL8ojmqblR1s+w7YAGyLiJnwzuqE84WXjMYbj/l74\nn28ppV6IXDeFyvnTaPFN53NN0w4opbZE/H88D6lTxmjHZZKH8GhlTPnzNU45+8IPrj8h9OZV7w9/\nw/lN+C1sqp6vsa69sBvuPXHcsG4KlTHq9TRJ2SduI+XPV6Ifr6j3nWjliXyTHnm+p1gZ9fI8Ef53\nzPKEP2+Ica2m7PlKjDLG+jxaGcPHLWXP11jHJda1SpSya5qmV8pS5XyN9XwT69yM9z0a7VpO5XN2\n1lBaKJOIEEIIIYQQQohbJF0EhRBCCCGEECJBpIIlhBBCCCGEEAkiFSwhhBBCCCGESBCpYFmQUmqn\nUkrTM8lEfP4zFZ4zYuIyM4pVzohlPzYirkSKcyxfDB/Li2rCnC1mE6eMb0WcrxMn/TSVeOdqePlF\nFSe7olnEOZa94eN4RIXmWTKtOGXcGXFNWu58DX92JOJPzPPZLCa5v+rltNyxDH+uf4fEmjQ8pU33\n+9+szz8385xjlecfs5MKljW9QGj+g/EH7/CXxPpwqtPnCaU7NbsbygnjWXasUD6Ifiw3w/is97dx\nbX4Xs4pWxp1AQ8T5+rMYv2sWUc9VGJ8PxTRf+JOIdixrgAPhLFm3RWbEMqlYZXwhfL5uwYLXpKZp\nL+nHkFBWurenO79dCop1fy0Il/N5LHgsw/dX/TvkJ9w4554ZTPn73+TPP9N6zrHY84+pSQXLYiLe\ncvyE69Nvbub6Wd43zHBoCRWnnPqXhtkf4uKVsYFwhSOcqjXazPSmEKeMBwil29VNOr9Sqop3roaX\nbSE0p4upxSlnDVAT0SJp2spknDKOp0UOVzoenOHQEibe+RrhRa6lxTalOOXsAfTW5AJMPE9QnDLe\nxvXPA6ZqpbuJ739TPv/czHOOVZ5/rEAqWNbzAvBixBw8+o2zkNCDuVXEKqeVRC2jpmkN4blBasLz\naJi5dSdeGfvC3cmOcH1ly2zinasvhpebtpIcIVY5e4Cfapr2PUIPCvtjbcAE4t1fF+hdkDDJA1wM\nce+t4S7J+6cyqXSKi3Xv0Sf+vkjoXLXi+XoEeALGj6fZTPf736zPP7PhOceypIJlPTuB74WbifO4\n9iajG+t0Q4LY5bSSmGUMdyt7i9BEkS8ZFF8ixD2O4e5kCzBnFxZd1DKGu+nst0A3K13UcmqadlTT\ntLf1n4ECE483i3d/LQi/PX4QC56vEf6FUJcls4t3XR7VNG0BoXuPmbsIxromXwIawp9vwXw9BKb7\n/W/W55/Z8JxjWQ6jAxCJE+47fjj8JU/4IeYSoYvyAKGWjp+H34KYudtDvHJaQrwyhpdtCY8RMK1J\nyvgz4GL4QaCHUFcd05nkXL2NUNe5LYRaPD5USj1oxpaBSY7ljwE0Tft5uMtLj9XKSKiL5wIIddtV\nShkW562Y7N6qd1ky4/GLNEk5FxB6IAcTtyxPck3WEHq585Pw84Bp7q83+f1vuuef2fCcY3VSwbKW\nF4gY3Bj+oj+slHpM07S3lVJHw29C9HXNKm45DYwrkWKWEbgd2BDuiqQvN2NlK14Zfwq8pZTSz9Pv\nGRFgAsQ7VyNbJPcD3zPxg2u8cv48PP5KP1+teCzfVkptiSijWccnTXZvHR9rZnJTufc8EV5s1fP1\nZ0qpnxBqvTLT+Trt739N046a8PlnNjznWJrSNM3oGIQQQgghhBDCEmQMlhBCCCGEEEIkiFSwhBBC\nCCGEECJBpIIlhBBCCCGEEAkiFSwhhBBCCCGESBCpYAkhhBBCCCFEgkgFSwghhBBCCCESRCpYQggh\nhBBCCJEgUsESQgghhBBCiASRCpYQQgghhBBCJIhUsIQQQgghhBAiQaSCJYQQQgghhBAJIhUsIYQQ\nQgghhEgQqWAJIYRIeUqpnUqpi0opTSnVq5R6USmVF2Pd9UqpIzGW5SmlepMbrRBCiNlMKlhCCCFS\nmlJqJ/Az4CdAPvA9oAb4MMavNITXFUIIIWacVLCEEEKkrHAr1YvAbZqmva1pWul4VPQAACAASURB\nVJ+maQc0TdsCNCilasJ/9iulfhxuuaohVCHTt7Ez3Op1EdhpTEmEEELMFg6jAxBCCCHi2AAc1TSt\nYeICTdO+B6CUqgmv1wA8H7mOUmo9ocrWg+HlsVq9hBBCiISQFiwhhBCpbD2hihEQqkyFW6P0P3qL\nVJ6maS9omnZ0wu+/ALykadpRTdP6kK6DQgghkkwqWEIIIVJZA6EufwCEW7Lmh/8cmLBeNAXA1xH/\nPpzoAIUQQohIUsESQgiRyg4A68Nd/QAIj8PqI9S6peuL8fsNwO0R/96Q+BCFEEKIa6SCJYQQImVF\ndOv7UCn1WDjN+nql1P4pbmIfsDP8O3lIF0EhhBBJJkkuhBBCpDRN036ulOoD/gV4CzgK/DS8uGCS\n3z2qlPoJ15JbPI+0YgkhhEgipWma0TEIIYQQQgghhCVIF0EhhBBCCCGESBCpYAkhhBBCCCFEgkgF\nSwghhBBCCCESRCpYQgghhBBCCJEgM5pFsKioSJs3b95M7lIIIYQQQgghbtmRI0e6NE0rnmy9Ga1g\nzZs3j8OHD8/kLoUQQgghhBDilimlGqeynnQRFEIIIYQQQogEkQqWEEIIIYQQQiSIVLCEEEIIIYQQ\nIkGkgiWEEEIIIYQQCSIVLCGEEEIIIYRIEKlgCSGEEEIIIUSCSAVLCCGEEEIIIRJEKlhCCCGEEEII\nkSBSwRJCCCGEEEKIBJEKlhBCCCGEEEIkiFSwhBBCCCGEECJBpIIlhBBCCCGEEAkiFSwhhBBCCCGE\nSBCpYAkhhBBCCCFEgkgFSwghhBBCCCESRCpYQgghhBBCCJEgUsESQgghhBBCiASRCpYQQgghhBBC\nJIhUsIQQQgghhBAiQaSCJYQQQgghhBAJMqUKllJqfZxljymlNiulfpy4sIQQQgghhBDCfCatYCml\nNgNvxVi2HkDTtANAX7yKmBBCCCGEEEJY3aQVrHDlqSHG4ieAvvDPDcDmBMUlhBBCCCGEEKZzq2Ow\n8oCeiH8X3uL2hBBCCCGEEMK0JMmFmDWONvXy3989SSCoGR2KmAndF+Hdf4BRr9GRiBnQPdzNfzv4\n3+gc6jQ6FDEDgsPDtP3Lf2f0wgWjQxEzQAtqfPLGWdrO902+shAp4FYrWH1AQfjnPKB74gpKqZ1K\nqcNKqcNXr169xd0JcfP+5/unef3LJj6o7zA6FDETPv6fcPwNOLrX6EjEDNh7ai/vN7zPrrpdRoci\nZkDfu+/S/+67XP1f/9voUMQMaKzr5uRfWvns7fNomrwkFanvpipYSqm88I/7gJrwzzXAgYnrapr2\nkqZpGzRN21BcXHxzUQpxi4429XK4sRebgpcPxhpSKCyjrxnq3wVlgy9+CQG/0RGJJBr0DfLWubew\nKRvvnH8Hz5jH6JBEEmmBAD179oDNhvfAAcaamowOSSRZ7YEmlILORi/tF6QVS6S+qWQRfAzYEP5b\n9yGApmlHw+tsBvr0fwuRan51sAF3uoP/55tLONrUx5HGnsl/SZjXl/8n9Pe3fg79zXDqd8bGI5Lq\n3fPv4h3z8j/u/B8M+Yd4+9zbRockksj70Uf4Gpso/Zd/QTkc9OzeY3RIIok6Gz20nuvjjofnk57t\n5Nj+ZqNDEmJSU8ki+Lamafmapr0d8dltET+/pGnaAU3TXkpWkELciqbuIf5U18EP7prL9o3zyM1w\n8tIn0oplWSP9cGQPrPx72PAcFC6Ez38B0q3EkvxBP6+eepX1Jet5fMnj3DnnTn5z6jf4Aj6jQxNJ\n0vPKLpyVleR//0ncDz9M3zvv4O/tNToskSS1+5twpdtZ/UAVq75RweUTXfR2DBodlhBxSZILYXmv\nfHYJu02xfeM8Ml0OnrlrLh+cusLlLrlBW9KRPTDmhbt/BDZb6O/2Wmj8zOjIRBIcaDpA22Ab21Zs\nA2D7iu10Dnfyp8t/MjgykQxDx44xfOwYBdu2oRwOCndsRxsZoW/fPqNDE0ng6R7mwtGrLN9UgSvD\nwcpvVGJ32qj9UFqxRGqTCpawtL6hMfZ93cx31lRQ6k4HYOvGuThtNn796SWDoxMJF/CFugfO2wTl\na0OfrXkSMotCrVjCUjRNY0/dHua653J/1f0A3FN+DwvzFrK7frcMhregnl27sbnd5P393wGQtmgR\nWZs20fPabwiOjhocnUi0Ex+1oIDVD1QCkOl2seSuMs4e6mDIM2ZscELEIRUsYWm/+bKJYV+A5++b\nP/5ZSU46j6wr560jzfQOyg3aUurfBU8rbPy/r33mzIA7nodzf4Kr54yLTSTc0c6j1HXXsXX5Vmwq\n9HWmlGLr8q2c6z3HF+1fGByhSKSxpia8Bw6Q/+ST2LKyxj8vfHYHga4uPH/4g4HRiUQbHfJx6tM2\nFm4oIacgffzztQ9WEfAHqftLi4HRCRGfVLCEZY36A+z+/DKbFhWxtMx93bIfbqphxBfktS8aDYpO\nJJymwef/G4qWwMLN1y+7/YfgSIdD/2pMbCIpdtfvJi8tj4cXPHzd5w/VPERRRhF76iX5gZX07NkL\ndjv5P/jBdZ9n3nUXaUuX0r1rl7RaWkj9p234RgOs3Vx93ef5ZVnMW13Eyb+04h8LGBSdEPFJBUtY\n1n/UtnHVO8rO+2puWLa4NIf7lxSz51AjIz65QVvCpU+g4yRsDI+9ipRVBGu+D8f/HQZkPj4ruNR/\nib80/4Unlz5JhiPjumUuu4unlj7FZ22fcb73vEERikQK9PXR98475H772zhLS65bppSi8NkdjF24\nyODBgwZFKBIp4A9y4qMWKpbkU1ydc8PydVuqGBnwceYLmddSpCapYAlL0jSNlw82sLQsh3sXFkVd\n5/lNNXQNjPJebesMRyeS4vNfQFYxrHo8+vK7/wkCo/D1yzMbl0iKV0+9itPm5MklT0Zd/viSx8lw\nZEgrlkX0/vs+tOFhCrZvj7rc/a1v4SgtpfsVmWjaCi4c6WSwb5R1W6qjLp+zMI+SuTnUHmhCC0qr\npUg9UsESlvSXc1c5d2WA5zfVoJSKus7GBYUsn+Pm5YOXCMoN2tw6T8OF/XDHC+BMj75O0SJY8rfw\n1cswNjSz8YmE6hnp4T8u/gcPL3iYwozCqOvkpuXyyMJHeP/S+3QOdc5whCKRgmNj9PzmNbLuvZf0\nJYujrqOcTgq2PsPQF18wcurUDEcoEknTNI7tbyJ/ThbVKwqirqOUYu2Wavo7h7l0omuGIxRiclLB\nEpb0q4OXKHWn8fCa8pjrKKXYeV8NFzoH+Ms56TZmaof+FRwZcPtz8dfb+M8w3APH35iZuERS7Duz\nj9HAKFtXbI273jPLniGoBXnjjBxvM/P8/g8ErnZR+OyOuOvlPf44tqwsunftnpnARFK0nO2lu2WA\ntZurYr4gBViwrpicgnRqDzTNYHRCTI1UsITl1Lf18+mFLrZvnI/LEf8Uf2j1HObkpsvEw2bmvQIn\n3oR1P4DM6G87x1XfDeXr4dC/QTA4M/GJhBrxj/DGmTf4RuU3qMm9cXxlpCp3FQ9WP8i+s/sY8kmr\npRlpmkbP7l2kLVlC5t13x13XnpND3mOP4fnjH/G1t89QhCLRavc3keF2seSOsrjr2ew21jxYRfuF\nfq5c8sxQdEJMjVSwhOX8+uAlslx2nrozet/tSE67jR33zONQQzd1rf0zEJ1IuK9eCs1/ddc/Tr6u\nUqFWrJ6LcO4/kx+bSLjfN/ye3tHe8YmFJ7NtxTa8Y17evfBukiMTyTD46aeMnr9A4bM74rZm6Aq2\nPgNAz6uvJTs0kQTdrQM01few+v7QhMKTWXbPHFwZDmnFEilHKljCUtr7h/mP4208fnsVuRnOKf3O\nk3dUk53m4OWD0oplOmOD8PWvYOlDULhgar+z7DuQWy0TD5tQUAuyt34vywuXs6F0w5R+Z03xGtYW\nr+XVU68SCErGULPpfuUVHCUluL/1rSmt76yowP3Nb9L35psEBgaSHJ1ItNoPm3E4bay8r2JK67vS\nHazYVM7Fo514uoaTHJ0QUycVLGEpuz+/TFDTePae+ZOvHOZOd/Lk7VX84UQ7bX1ygzaV2tdhpO/6\niYUnY3fA3f8ITYeg5XDyYhMJ90nLJ1z2XGb7iu1Tas3QbV+xndaBVj5s+jCJ0YlEGzl9mqFDX1Cw\n9RmUyzXl3yvYsYPgwAB9b72dxOhEog32j3Luqw6WbZxDevbUXpACrH4gNFbr+EfNSYxOiOmRCpaw\njIFRP69/2cS3Vs2hqiBzWr+7495QhWzXZ5eSEZpIhmAglNyi8naovnN6v7vuaUjLlVYsk9ldv5s5\nWXPYMnfLtH7v/qr7qcqpYk/9HpmI1kS6d+3ClplJ3uMxpl6IIWPVSjJvv52evXvRfL4kRScS7eTH\nLQQDGms2V03r97Lz01h0eymnPmtnZFCOt0gNUsESlrHv62a8I352boo/8D2airwMHlo1hze+asYz\nIjdoUzjzB+i9HBpTNV1pObBhB5z+j9A2RMqr66rjyJUjPL3saRw2x7R+126zs3X5Vk50naD2am2S\nIhSJ5OvowPPH/yTve49hd7un/fsFz+7A396O578+SEJ0ItF8owHqPmmlZm0xucXTe0EKsHZLFf7R\nAKc+bUtCdEJMn1SwhCX4A0Fe+fQSd8wvYE1V3k1t4/lNNQyM+tn3lXQzMIXP/xXy58HSb9/c79/5\nAig7fPHLhIYlkmNP/R5ynDk8uvjRm/r97y78Lnlpeeyu253YwERS9Lz6Kmga+c/ET8UfS/Y3voGr\npoaeV16RVksTOP15O6ND/pgTC0+mqDKHqmX5HP+omYBfMsQK40kFS1jCH+s6aO0b5vmbaL3SrarM\n5a6aAl757BK+gNygU1rTl9DyFdz1T2Cz39w23OWw6jE4+ioM9yY2PpFQrQOtfND4AY8tfowsZ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/9pjoKC6lT0gg8qmn6PvwQ2wm/61qVFc2ow/SkpOXLDqKS+kDtMx4JJnGC7fp6xwW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\nCOEm/w8iMhm/tFhCuQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a16ed8278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"\n",
"fuzzy_sets = Grid.GridPartitioner(enrollments, 12)\n",
"fuzzy_sets2 = Grid.GridPartitioner(enrollments, 5, transformation=diff)\n",
"\n",
"pUtil.plot_partitioners(enrollments, [fuzzy_sets,fuzzy_sets2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a model on original data"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"High Order FTS:\n",
"A1, A2, A2 -> A3,A4\n",
"A1, A2, A3 -> A3,A4\n",
"A1, A3, A2 -> A3,A4\n",
"A1, A3, A3 -> A3,A4\n",
"A10, A10, A10 -> A8,A9\n",
"A10, A10, A9 -> A8,A9\n",
"A10, A9, A10 -> A8,A9\n",
"A10, A9, A9 -> A8,A9\n",
"A2, A2, A2 -> A3,A4\n",
"A2, A2, A3 -> A3,A4,A5\n",
"A2, A2, A4 -> A4,A5\n",
"A2, A3, A2 -> A3,A4\n",
"A2, A3, A3 -> A3,A4,A5\n",
"A2, A3, A4 -> A4,A5\n",
"A2, A3, A5 -> A4,A5\n",
"A2, A4, A4 -> A4,A5\n",
"A2, A4, A5 -> A4,A5\n",
"A3, A2, A3 -> A4,A5\n",
"A3, A2, A4 -> A4,A5\n",
"A3, A3, A3 -> A4,A5\n",
"A3, A3, A4 -> A4,A5\n",
"A3, A3, A5 -> A4,A5\n",
"A3, A4, A4 -> A4,A5\n",
"A3, A4, A5 -> A4,A5\n",
"A3, A5, A4 -> A4,A5\n",
"A3, A5, A5 -> A4,A5\n",
"A4, A4, A4 -> A4,A5,A6\n",
"A4, A4, A5 -> A4,A5,A6,A7\n",
"A4, A4, A6 -> A6,A7\n",
"A4, A5, A4 -> A4,A5,A6\n",
"A4, A5, A5 -> A4,A5,A6,A7\n",
"A4, A5, A6 -> A6,A7,A8,A9\n",
"A4, A5, A7 -> A6,A7,A8,A9\n",
"A4, A6, A6 -> A6,A7,A8,A9\n",
"A4, A6, A7 -> A6,A7,A8,A9\n",
"A5, A4, A4 -> A4,A5,A6\n",
"A5, A4, A5 -> A4,A5,A6,A7\n",
"A5, A4, A6 -> A6,A7\n",
"A5, A5, A4 -> A4,A5,A6\n",
"A5, A5, A5 -> A4,A5,A6,A7\n",
"A5, A5, A6 -> A6,A7,A8,A9\n",
"A5, A5, A7 -> A6,A7,A8,A9\n",
"A5, A6, A6 -> A5,A6,A7,A8,A9\n",
"A5, A6, A7 -> A5,A6,A7,A8,A9\n",
"A5, A6, A8 -> A10,A9\n",
"A5, A6, A9 -> A10,A9\n",
"A5, A7, A6 -> A5,A6\n",
"A5, A7, A7 -> A5,A6\n",
"A5, A7, A8 -> A10,A9\n",
"A5, A7, A9 -> A10,A9\n",
"A6, A4, A4 -> A4,A5\n",
"A6, A4, A5 -> A4,A5\n",
"A6, A5, A4 -> A4,A5\n",
"A6, A5, A5 -> A4,A5\n",
"A6, A6, A4 -> A4,A5\n",
"A6, A6, A5 -> A4,A5\n",
"A6, A6, A6 -> A4,A5,A6\n",
"A6, A6, A7 -> A5,A6\n",
"A6, A6, A8 -> A10,A9\n",
"A6, A6, A9 -> A10,A9\n",
"A6, A7, A5 -> A4,A5\n",
"A6, A7, A6 -> A4,A5,A6\n",
"A6, A7, A7 -> A5,A6\n",
"A6, A7, A8 -> A10,A9\n",
"A6, A7, A9 -> A10,A9\n",
"A6, A8, A10 -> A10,A9\n",
"A6, A8, A9 -> A10,A9\n",
"A6, A9, A10 -> A10,A9\n",
"A6, A9, A9 -> A10,A9\n",
"A7, A5, A4 -> A4,A5\n",
"A7, A5, A5 -> A4,A5\n",
"A7, A6, A4 -> A4,A5\n",
"A7, A6, A5 -> A4,A5\n",
"A7, A6, A6 -> A4,A5\n",
"A7, A7, A5 -> A4,A5\n",
"A7, A7, A6 -> A4,A5\n",
"A7, A8, A10 -> A10,A9\n",
"A7, A8, A9 -> A10,A9\n",
"A7, A9, A10 -> A10,A9\n",
"A7, A9, A9 -> A10,A9\n",
"A8, A10, A10 -> A10,A9\n",
"A8, A10, A9 -> A10,A9\n",
"A8, A9, A10 -> A10,A9\n",
"A8, A9, A9 -> A10,A9\n",
"A9, A10, A10 -> A10,A8,A9\n",
"A9, A10, A9 -> A10,A8,A9\n",
"A9, A9, A10 -> A10,A8,A9\n",
"A9, A9, A9 -> A10,A8,A9\n",
"\n"
]
}
],
"source": [
"model1 = hofts.HighOrderFTS(\"FTS\", partitioner=fuzzy_sets)\n",
"model1.fit(enrollments, order=3)\n",
"\n",
"print(model1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a model on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"High Order FTS:\n",
"A0, A1, A2 -> A2,A3\n",
"A0, A1, A3 -> A2,A3\n",
"A0, A2, A2 -> A2,A3\n",
"A0, A2, A3 -> A2,A3,A4\n",
"A0, A2, A4 -> A4\n",
"A0, A3, A3 -> A4\n",
"A0, A3, A4 -> A4\n",
"A1, A0, A1 -> A2,A3\n",
"A1, A0, A2 -> A2,A3\n",
"A1, A1, A0 -> A1,A2\n",
"A1, A1, A1 -> A1,A2,A3\n",
"A1, A1, A2 -> A2,A3\n",
"A1, A1, A3 -> A2,A3\n",
"A1, A1, A4 -> A2,A3\n",
"A1, A2, A0 -> A1,A2\n",
"A1, A2, A1 -> A1,A2\n",
"A1, A2, A2 -> A1,A2,A3,A4\n",
"A1, A2, A3 -> A2,A3,A4\n",
"A1, A2, A4 -> A2,A3,A4\n",
"A1, A3, A1 -> A1,A2\n",
"A1, A3, A2 -> A1,A2,A3,A4\n",
"A1, A3, A3 -> A2,A3,A4\n",
"A1, A3, A4 -> A4\n",
"A1, A4, A2 -> A2,A3\n",
"A1, A4, A3 -> A2,A3\n",
"A2, A0, A1 -> A2,A3\n",
"A2, A0, A2 -> A2,A3,A4\n",
"A2, A0, A3 -> A3,A4\n",
"A2, A1, A0 -> A1,A2\n",
"A2, A1, A1 -> A0,A1,A2,A3,A4\n",
"A2, A1, A2 -> A0,A1,A2,A3,A4\n",
"A2, A1, A3 -> A1,A2,A3,A4\n",
"A2, A1, A4 -> A2,A3\n",
"A2, A2, A0 -> A1,A2,A3\n",
"A2, A2, A1 -> A0,A1,A2,A3,A4\n",
"A2, A2, A2 -> A0,A1,A2,A3,A4\n",
"A2, A2, A3 -> A1,A2,A3,A4\n",
"A2, A2, A4 -> A2,A3\n",
"A2, A3, A0 -> A2,A3\n",
"A2, A3, A1 -> A1,A2,A3\n",
"A2, A3, A2 -> A1,A2,A3,A4\n",
"A2, A3, A3 -> A1,A2,A3,A4\n",
"A2, A3, A4 -> A2,A3\n",
"A2, A4, A2 -> A1,A2,A3\n",
"A2, A4, A3 -> A1,A2,A3\n",
"A2, A4, A4 -> A2,A3\n",
"A3, A0, A2 -> A3,A4\n",
"A3, A0, A3 -> A3,A4\n",
"A3, A1, A1 -> A0,A1,A3,A4\n",
"A3, A1, A2 -> A0,A1,A2,A3,A4\n",
"A3, A1, A3 -> A1,A2,A3,A4\n",
"A3, A2, A0 -> A2,A3\n",
"A3, A2, A1 -> A0,A1,A2,A3,A4\n",
"A3, A2, A2 -> A0,A1,A2,A3,A4\n",
"A3, A2, A3 -> A0,A1,A2\n",
"A3, A3, A0 -> A2,A3\n",
"A3, A3, A1 -> A1,A2,A3\n",
"A3, A3, A2 -> A0,A1,A2\n",
"A3, A3, A3 -> A0,A1,A2\n",
"A3, A3, A4 -> A2,A3\n",
"A3, A4, A2 -> A1,A2,A3,A4\n",
"A3, A4, A3 -> A1,A2,A3,A4\n",
"A3, A4, A4 -> A2,A3\n",
"A4, A2, A1 -> A1,A2\n",
"A4, A2, A2 -> A0,A1,A2\n",
"A4, A2, A3 -> A0,A1,A2,A3\n",
"A4, A2, A4 -> A2,A3\n",
"A4, A3, A1 -> A1,A2\n",
"A4, A3, A2 -> A0,A1,A2\n",
"A4, A3, A3 -> A0,A1,A2,A3\n",
"A4, A3, A4 -> A2,A3\n",
"A4, A4, A2 -> A3,A4\n",
"A4, A4, A3 -> A3,A4\n",
"\n"
]
}
],
"source": [
"model2 = hofts.HighOrderFTS(\"FTS Diff\", partitioner=fuzzy_sets2)\n",
"model2.append_transformation(diff)\n",
"model2.fit(enrollments, order=3)\n",
"\n",
"print(model2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using the models"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[14923.233333333337,\n",
" 15319.950000000004,\n",
" 15319.950000000004,\n",
" 15716.666666666672,\n",
" 16113.383333333339,\n",
" 16113.383333333339,\n",
" 17700.250000000007,\n",
" 17303.53333333334,\n",
" 15716.666666666672,\n",
" 15319.950000000004,\n",
" 15319.950000000004,\n",
" 15716.666666666672,\n",
" 15716.666666666672,\n",
" 16113.383333333339,\n",
" 17700.250000000007,\n",
" 19287.116666666676,\n",
" 19287.116666666676,\n",
" 19287.116666666676,\n",
" 18890.40000000001,\n",
" 18493.68333333334]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model1.predict(enrollments)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[13435.14,\n",
" 14264.14,\n",
" 15028.14,\n",
" 15126.2,\n",
" 15418.2,\n",
" 15429.14,\n",
" 16375.14,\n",
" 16734.2,\n",
" 16944.38,\n",
" 15248.2,\n",
" 15806.32,\n",
" 14960.2,\n",
" 14978.2,\n",
" 15305.08,\n",
" 16427.14,\n",
" 17471.08,\n",
" 18785.2,\n",
" 19143.2,\n",
" 19399.260000000002,\n",
" 18691.2]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model2.predict(enrollments)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the models"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JiIiIiIioWzlx4gSOHz+Ohx56CGPHju3w5wshoFarER8fbwwIr127dtt1Pj4+xnBw0qRJ\nGDBgQLcJkTw9PeHp6YmHHnoIer0eeXl5yM7OhlqthkKhwMMPPwwhBIqLi9HQ0AAnJycUFxfjv//9\nr3G6sCRJUCgU8PX1vWnkoIODg4Xf3f+vZXCYm5uLCxcudOrg8OTJk310Ot2DzRW/hZubW/WIESPy\n2nPvZ599ply0aFFxy5F1sbGxmnXr1nknJiY6BQcH17Wlv+Dg4DqtVmu7a9cu1yeeeKIiJCSk/ujR\no1ntqa09fSmVSv1rr71W+L//+7/eI0aMqFar1fKcnByH8+fPO69bt87jwIEDbs3H0dHROh8fH33z\nvQqFQn+vvm/FwJCIiIiIiIi6jfPnz2P//v0YNGgQpk2b1iFhjBACly9fNoaD8fHxKCgouO06pVJp\nDAcnTZqE4ODgThUWmZNCoUBgYCCUSiVKSkpQXl5u3IQEABoaGqDVanHu3DlkZmbizJkzuHbtGqKi\nojB79mw89dRT6NGjhwXfwb3JZDIEBgZCpVJ1ieCwox0/ftwtKiqqf/Pr8+fPO7/zzjv5OTk5Do8+\n+qju1uvDw8OrL126ZB8cHFyXn59v3/LeFStWFNw6dbeZUqnU//DDD1lffvml9x//+MfeCoWiseX1\npuzrboKCgurS0tKcm19/8cUX+bm5ufIlS5aUzZgxQ9d83Hx+wYIFfTdt2qRMSEi4cOce74yBIRER\nEREREXULly9fxq5du+Dv74+nnnrKrGsX5ubm3jTF+OrVq7dd4+XlhQkTJhhHEYaGhnb7UKixsREl\nJSUoLS01TimuqKgwrmkok8mgUCjg7+9v3ICktrbWuBGMg4MDhg8fjtDQUOOU5j/96U949dVXMWrU\nKMyePRuzZ89Gv379LPxO7+xuwaGnpydCQ0Ph6+tr1X9H2jsS8EG1nLYL3FjDEAACAgJq1Wq1/Nbr\nc3Nz5SNHjqwC7j2N+FaZmZlyT0/Pxri4uCvAjWnF0dHRA3Q63RlT93U32dnZ9gEBAbX3uqaluLi4\nK2+//fa1qVOnDmie/twaZg0MJUkaLoRIa/H6DQA5ADyFEF81tc0BUA5guBBiRVvaiIiIiIiIiFqj\nsLAQW7ZsgaenJ371q1+1e5fbu7l69epNAWFubu5t13h4eGDChAnGUYRhYWFWueFKR2oOCIuLi1FU\nVITS0lLjRiTOzs5QKBTw8/ODu7s73N3d4ezsfMfPmUqlwvjx41FbW4ucnBxkZWXBxcUFISEhAIDi\n4mJkZ2fjn//8J9566y0MGTLEGB4OHDiwQ99za9wpOExISOg0waG1WL58uWbYsGGDpk2bVtFyDUMA\nCAkJqW9e86+1kpOTnb/++mtlcyg4duzYaoVC0die2trTl0ajkX3++ee++/fvz0pOTna+17UtN37x\n8fHRN2+a0lpmCwwlSZoMYDWAwBavIYTYLknSR5IkBQBwb2o7KElSgCRJw5vvv19byyCSiIiIiIiI\n6G7Ky8uxceNGyOVyxMTEwNHR8YH7LCgouGmKcU5Ozm3XKBSKmwLCIUOGdPuAUK/Xo6SkBEVFRSgu\nLkZJSQkMBgMkSYKHhwf69+8PHx8feHl5QS6/bWDYfTk4OCAkJAQhISGYNWsWNBoNsrKykJKSAqVS\nidGjR6OhoQFXrlzB3r178emnn6JHjx6YPXs25syZg7CwMKsK4hgcPhilUqnfv39/1q27JO/Zs+f2\n/2FbYcmSJWVqtVoeGho6qLnt3XffvX19ARP2lZmZ6XTrNSEhIfX3Cwzfe++9wpkzZwasW7fOGwD+\n9a9/qdtSn9Q8rNccJEk6IIR4tOn4IwCnmgLDF5suCQRwoCkInAxgOACv1rTda5RhZGSkSElJMdv7\nIiIiIiIios6huroa69atQ2VlJZYsWQIfH5929XPt2jVjOBgfH4/s7OzbrnF1dcX48eONaxCGh4d3\n6M671kiv16O0tNQYEGo0GuMIQg8PD3h7e8PHxwdKpbJdAWFbNDQ04PLly0hISEBubq5xlKlWq0V2\ndjays7MhSRJmzpyJ2bNnIyIiwurCOL1ejytXriAzMxPV1dUdHhxKkpQqhIhs2Zaenp4bHh6uMfvD\nyeTS09OV4eHhqjud68g1DEsAeDYdu+NGCOgOoLTFNW1pIyIiIiIiIrqrhoYGbN68GWVlZXjmmWfa\nFBZev379pinGP//8823XuLi4YNy4ccY1CIcNG2byqc6djV6vR1lZGYqKilBUVISSkhLj5iTu7u4I\nCgrqsIDwVnZ2dhgwYAAGDBgAACgtLcWhQ4dw9uxZDB48GBERETAYDMjPz8fvf/97VFZWYsKECZgz\nZw5GjRplFaNDZTIZAgIC0LdvX1y5coUjDslsOvIr2XYAv246DgSgRtOUZCIiIiIiIiJTMhgM2LFj\nB/Ly8jB37lz07dv3ntcXFxfjyJEjxpDwwoXbNxR1dnbG2LFjjVOMIyIiun1AaDAYUFpaalyDUKPR\nGANChUKBgIAAY0Bob29v4Wpv5unpiblz52Lu3LlobGzEkSNHcOzYMTg7O+Phhx8GAFRVVeGTTz5B\nSUkJBg8ejKeeegrjxo2z+H/35uDw1qnKHh4eCA0NRc+ePRkc0gPpsL/hQogcSZK2NK1JWI4bm594\n4eZRhyVNx61tM2qa5vwiAPj7+5u8fiIiIiIiIuochBD44Ycf8PPPP2P69OnGjS9upVar8cUXX+DQ\noUPIyMi47byjo+NNAWFkZCTs7OzMXb5VMxgMxhGEzVOMGxtv7NOgUCjQr18/+Pj4wNvb2+oCwnux\ntbXF5MmTMXnyZAghkJaWhu+//x4ajQYBAQEYMmQIAGDLli349NNP4e/vj+joaEyePLnDR0q2ZGNj\nc1twmJiY2NHBocFgMEg2NjbmW/OOTM5gMEgADHc732GBYVNQGCmE+EqSpF83rWWYA6B57nsAgINN\nx61tM2radfkr4MYahmZ4C0RERERERNQJHDt2DKmpqRgzZgxGjBhx2/mKigr8z//8D/7+97+jvr7e\n2O7g4ICoqCjjFOMRI0ZYNAyyBgaDAeXl5caAsLi42BgQurm5oW/fvsaA0MHBwcLVmoYkSYiIiEBE\nRAQAICsrCzt27EB6ejocHR0xdOhQyGQyJCYmYvPmzXBzc8OECRMwY8YMi30OLBwcni8uLg7x9vbW\nMjTsHAwGg1RcXKwAcP5u15ht0xNJkuYA+BrAC0KI7S3aACCneZfjppGBOQACmkK/VrfdDTc9ISIi\nIiIi6p7S0tKwd+9ehIeHY9asWTeFJAaDAf/+97/xhz/8AYWFhQCAPn36YOnSpZg0aRJGjhzZqUbF\nmYPBYIBWqzWuQajRaNDQ0ADgxqYuzeGgj49PlwkI2+LKlSvYsWMHEhIS0NjYiMDAQHh4eAC4sSYi\nAISHh+PJJ580tluCwWAwbo5SVVVlsuDwTpuepKam+tja2n4DIAyA5Rd6pNYwADjf2Nj4fERERNGd\nLjDrLsmWwsCQiIiIiIio+8nKysLmzZsREBCA+fPn37RD8fHjx/Haa6/h1KlTAG5MN37zzTfx+uuv\nw8nJyVIlW5wQAuXl5cY1CIuLi40BoYuLC3x8fIwhoaOjo4WrtS7Xrl3Dd999hx9//BElJSUICAhA\nv379YGdnh8bGRtTU1EClUmH69OkICAiwyJqCdwoOQ0JC0KtXr3bVc6fAkLomBoZERERERETU6eXn\n5+Pbb7+Ft7c3Fi9ebJxKnJ+fjz/84Q/YuHGj8dpf/epX+Oijj7rl+vdCCOMIwuYpxs3Tsl1cXIyj\nB729vbt1kNpWxcXF2L17N7777jtkZ2ejX79+xh2hgRsb5vTv3x9BQUEICAjo8PD11uDQ3d0doaGh\nbQ4OGRh2HwwMiYiIiIiIqFMrKSnBmjVr4ODggOeeew4uLi6oqanBJ598gg8++ADV1dUAgOHDh+Pz\nzz/H2LFjLVxxxxFCQKfT3RQQ1tXVAbgRYjUHhD4+PgwITaS8vBx79+7Fjh078NNPP2HChAl4+umn\nkZOTg9raWkiSBD8/PwQGBiIoKAi9evWCjU3HzORtDg4vXLiAysrKNgeHDAy7DwaGRERERERE1GlV\nVlZizZo1qK+vx9KlS+Hh4YEdO3YgNjYWV65cAQD4+Pjggw8+wKJFi26aptwVCSFQUVFhXIOwZUDo\n5OR00xqEzs7OFq6266usrERBQQEGDhwIg8GAgoICZGdnQ61Wo6CgAMCNzXYCAwONAaKrq6vZ6zIY\nDLh69SoyMzPbFBwyMOw+GBgSERERERFRp1RXV4f169ejpKQEixYtQnFxMZYvX46jR48CAOzs7LB8\n+XK8/fbbcHNzs3C15qXT6ZCRkYHi4mLU1tYCuLFO460BoSXW0aM7q66uRk5ODtRqNbKzs1FZWQng\nRsDdHB76+/vD1tbWbDW0NThkYNh9MDAkIiIiIiKiTkev1yMuLg6XL19GdHQ0vv76a3zzzTcwGAwA\ngBkzZuCTTz5B//79LVyp+ZWUlCAhIQEA4OvrawwJXVxcGBB2EkIIFBUVGUcfXrlyBQaDAXZ2dlCp\nVAgKCkJgYCA8PT3N8t/0TsFhSEgI/Pz8bnoeA8Pug4EhERERERERdSpCCOzcuRPnzp2Dg4MDPvjg\nA2i1WgDAoEGD8Nlnn2HKlCkWrrJjFBYWIikpCfb29pgwYQJcXFwsXRKZQH19PXJzc40BYmlpKQDA\nw8PDOPpQpVLB3t7epM+9X3DIwLD7YGBIREREREREncqBAweQlJSE9PR07Ny5EwDg7u6Od999F7/5\nzW9gZ2dn4Qo7Rl5eHpKTk+Hq6orx48d3+M671HFKS0uNU5cvX76MhoYG2NjYwN/f3xgg9ujRw2Sj\nD28NDhUKBUJDQ9GnTx8Ght0EA0MiIiIiIiLqNPbs2YPTp0/j5MmT+OGHH2BjY4Pf/OY3+Otf/wql\nUmnp8jqMWq1GamoqvLy8MG7cOMjlckuXRB2ksbEReXl5xtGH169fBwC4uLgYN08JDAw0ya7XBoMB\neXl5yMzMREVFBZ5++mkGht0EA0MiIiIiIiKyeuXl5fjggw/g6OiICxcuYNu2bZg0aRI+++wzDB48\n2NLldagLFy7g3Llz8PX1RVRUlFk3xSDrV1FRAbVabfyoqakBAPTq1cs4+rB3796wsbFp9zOad3j2\n9/dnYNhNMDAkIiIiIiIiq6XX67FmzRp8+eWXmDFjBgoKCpCQkICPP/4Ys2bN6labegghcPbsWfz8\n88/o06cPRowYAZlMZumyyIoYDAZcu3bNOPowPz8fQgjY29sjICDAuHmKQqFoV/9cw7D7YGBIRERE\nREREVuno0aN47bXXUFhYiCVLlqCyshK9evXCb3/7Wzg4OFi6vA5lMBiQmpqKy5cvIzAwEMOGDXug\nEWPUPdTU1ODy5cvGAFGn0wEAvL29jaMP/f39W73uJwPD7oOBIREREREREVmVK1eu4PXXX8e2bdug\nUCiwdOlSODk54ZlnnsGAAQMsXV6H0+v1OHHiBAoKCjBo0CCEhYV1q5GVZBpCCBQXFxs3T7ly5Qr0\nej1sbW2hUqmMAaKXl9dd/34xMOw+GBgSERERERGRVaiqqsJHH32Ejz/+GLW1tXB0dMRLL70Ed3d3\nvPDCC/Dx8bF0iR2uoaEBP/30E4qKijB06NBuGZiSeTQ0NCA3N9cYIJaUlAAAFAqFMTzs16/fTaN5\nGRh2H1wZlYiIiIiIiCxKCIFNmzbhjTfeQEFBAQCgT58+eOmll9DQ0ICYmJhuGRbW1dUhISEBZWVl\nGDFiBFQqlaVLoi7Ezs4O/fv3R//+/QHc2Fioeery+fPnkZaWBkmS0KdPH2OASN0HA0MiIiIiIiKy\nmJSUFLz22mtISkoCANjb2+P1119HcHAwsrOzMXfu3G4ZlFVXV+PYsWOorKxEVFQU/Pz8LF0SdXHu\n7u6IjIxEZGQk9Ho98vPzjQFifHw84uPjLV0idSBOSSYiIiIiIqIOd+3aNfy///f/sH79emPbnDlz\n8NFHHyEzMxOpqamYNm0aRo4cabkiLaSiogJHjx5FfX09xo4d2y1HV5J1qaysRE5ODsLDwzkluZvg\nlkpERERERETUYerq6vDRRx9hwIABxrBwyJAhiI+Px7Zt25Cfn4/U1FSMGTOmW4aFZWVlOHz4MPR6\nPSZNmsSwkKyCi4sLhgwZYukyqANxSjIRERERERGZnRACe/bswe9//3uo1WoAgJeXF/72t7/h+eef\nh0wmw+nTpxEfH48hQ4bgkUctYWYyAAAgAElEQVQesXDFHa+4uBiJiYmws7PD+PHj4ebmZumSiKib\nYmBIREREREREZnX+/Hn89re/xcGDBwEAtra2ePnll/HOO+/Aw8MDAJCVlYW9e/ciMDAQM2fOhCRJ\nliy5w/3yyy84fvw4nJycMGHCBDg5OVm6JCLqxhgYEhERERERkVmUlpbiz3/+M1atWgW9Xg8AmDZt\nGj799FMEBwcbrysoKMD27dvh6+uLuXPnQiaTWapki8jNzcWpU6fg7u6O8ePHw97e3tIlEVE3x8CQ\niIiIiIiITKqxsRGrV6/GO++8g9LSUgDAgAED8OmnnyI6Ovqma0tKShAXFwcXFxcsWLCg24VlWVlZ\nOHPmDHx8fDBmzBjY2dlZuiQiIgaGREREREREZDoHDx7E8uXLkZGRAQBwc3PDn//8Z7z88suQy+U3\nXVtZWYkNGzYAAGJiYuDi4tLh9VqKEAIZGRnIzMyEn58fRo0a1e1GVhKR9WJgSERERERERA8sOzsb\nsbGx2L17NwBAkiQ8//zzeP/99++4029dXR3i4uJQVVWFRYsWwcvLq6NLthghBE6fPo3s7GyoVCpE\nRkbCxsbG0mURERkxMCQiIiIiIqJ2q6iowN/+9jd8+umnqK+vBwCMGzcOn3/+OYYNG3bHe/R6PbZu\n3YrCwkLMnz8ffn5+HVmyRRkMBpw8eRJXr17FgAEDEB4e3u02eCEi68fAkIiIiIiIiNrMYDDgX//6\nF9566y0UFhYCAPz9/fHxxx9j7ty5dw3BhBDYs2cPcnJyMGvWLPTv378jy7aoxsZGHD9+HNeuXcPg\nwYMRHBzMsJCIrBIDQyIiIiIiImqT48eP49VXX0VKSgoAwNHREW+99RZiY2Ph6Oh4z3sPHjyIs2fP\nYtKkSRg6dGhHlGsV6uvrkZiYCI1Gg4iICAQGBlq6JCKiu2JgSERERERERK22atUqvPTSSxBCAAAW\nLFiADz/8EH369LnvvcnJyUhKSkJkZCTGjRtn7lKtRk1NDRISEqDT6TB69OhWfa6IiCzJrIGhJEnD\nhRBpLV7PAVAOIEAI8dUtbcOFECva0kZEREREREQdQwiBv/zlL3j33XcBAOHh4fjHP/6BMWPGtOr+\njIwM7Nu3D8HBwZg+fXq3mYpbWVmJY8eOoaamBmPHjoWvr6+lSyIiui+zBYaSJE0GsBpAYNPr4QBy\nhBBpkiRNbnoNABBCHJQkKaAtbS2DSCIiIiIiIjIfvV6Pl156CatXrwYAREdHY+vWrXB2dm7V/bm5\nudi5cyf69OmDp556qtvsCKzVanH06FEYDAZMnDixW+0ETUSdm9m+SgshDgLIuaX5o6Y/A5oCv6dx\nY9Qgmq6d3IY2IiIiIiIiMrPa2lrMmzfPGBY+++yz2LVrV6vDwuvXr2Pz5s3w8PDA/PnzYWdnZ85y\nrUZJSQni4+MBAJMmTWJYSESdSof9WqcpIMyRJKkMQGlTs3uLYwDwakMbERERERERmZFWq8X06dPx\n3XffAQBiY2Oxbt26Vod+Wq0WGzduhFwux8KFC++7IUpXUVhYiCNHjkAul+Phhx+GQqGwdElERG3S\nYZueSJLkjhujBD8A8LUkSZxSTEREREREZKUKCwsxffp0nDlzBgDw8ccfIzY2ttX319TUYMOGDaiv\nr8eSJUu6TWiWl5eH5ORkuLq6Yvz48d0mJCWirqUjd0l+EcAHQohySZJyADRvYuLZdN4dQEnTcWvb\njCRJerHpGfD39zd58URERERERN2FWq3GlClTkJOTA5lMhrVr1+LZZ59t9f0NDQ3YtGkTysrKsHDh\nQvTo0cOM1VoPtVqN1NRUKJVKjB07FnK53NIlERG1S0cGhkZCiO1NAd9BAJFNzQFNr9GGtpZ9fgXg\nKwCIjIwUZiibiIiIiIioyzt9+jSmTZuGoqIiODo6Yvv27YiOjm71/QaDAd999x3y8vIwZ84cqFQq\n8xVrJYQQuHjxIs6dOwdfX19ERUXB1tYiP24TEZmEOXdJngMgUpKkOUKI7UKIFZIkvdE0utCzKeCD\nJEmRTTsqlzfvfNzaNiIiIiIiIjKd+Ph4zJo1CxUVFfDw8MB//vMfjB49utX3CyHw448/4uLFi5g2\nbRpCQ0PNWK11EELg7Nmz+Pnnn+Hv748RI0Z0m12giajrkoToeoPxIiMjRUpKiqXLICIiIiIi6jS2\nb9+OmJgY1NfXo3fv3ti/fz9CQkLa1MexY8cQHx+PqKgoPProo2aq1HoYDAakpqbi8uXLCAoKwrBh\nwyBJkqXLIjIbSZJShRCR97+SOjv+2oOIiIiIiKib++c//4l58+ahvr4ewcHBSEpKanNYePr0acTH\nx2PIkCGYPHmymSq1Hnq9HsePH8fly5cREhLCsJCIuhQGhkRERERERN2UEAJ/+ctfsGzZMgghMHLk\nSCQmJqJPnz5t6ufSpUvYu3cvAgMDMXPmzC4fnDU0NCAhIQEFBQUYOnQowsLCuvx7JqLuhauwEhER\nERERdUN6vR6vvPIKVq1aBQCYPn06tm3bBmdn5zb1U1BQgG3btsHX1xdz586FTCYzR7lWo66uDseO\nHUN5eTlGjBjRLTZ1IaLuh4EhERERERFRN1NXV4eFCxdi+/btAICFCxdi7dq1sLOza1M/JSUliIuL\ng7OzMxYsWAB7e3tzlGs1qqurcfToUVRXV2PMmDHo1auXpUsiIjILBoZERERERETdiE6nwxNPPIH4\n+HgAwO9//3usWLGizTv7VlZWYsOGDQBuBI4uLi4mr9Wa6HQ6HDt2DA0NDRg/fjy8vb0tXRIRkdkw\nMCQiIiIiIuomrl+/junTp+P06dMAgBUrVuD1119vcz91dXWIi4tDVVUVFi1aBC8vL1OXalXKyspw\n7NgxAMDEiRPh4eFh4YqIiMyLgSEREVEXJ4TA0aNHUVBQgICAAAQFBUGpVHJxdiKibkatVmPq1KlQ\nq9WQyWRYs2YNFi1a1OZ+9Ho9tm3bhsLCQsyfPx9+fn5mqNZ6FBUVITExEXK5HBMmTICrq6ulSyIi\nMjsGhkRERF1cUlISjh49ChcXF2RnZ+O///0v3NzcEBQUhMDAQAQEBMDBwcHSZRIRkRmdPn0a06dP\nx/Xr1+Ho6IitW7fi8ccfb3M/Qgjs2bMHarUaM2fORP/+/c1QrfUoKCjA8ePH4eLigvHjx8PJycnS\nJRERdQgGhkRERF3Y2bNncfDgQYSGhmL27NnQarVQq9XIzs5GRkYG0tLSIEkSevfujaCgIAQFBaFn\nz54cfUhE1IXEx8dj1qxZqKiogIeHB77//ntERUW1q69Dhw7h7NmzmDRpEoYNG2biSq1Lbm4uTp06\nBQ8PD4wbN67Lb+hCRNSSJISwdA0mFxkZKVJSUixdBhERkUWp1WrExcXB398fMTExsLW9+feEer0e\n+fn5xgDx2rVrAAAnJycEBgYaP7r6IvZERF3Zjh07sGDBAtTX18PPzw/79+9HaGhou/pKTk7Gvn37\nEBERgccee6xL/3IpKysLZ86cgY+PD8aMGdPm3aOJuipJklKFEJGWroPMjyMMiYiIuqBr165h69at\n8Pb2xtNPP31bWAgAMpkMffv2Rd++ffHwww+jqqoKarXa+HHu3DkAgK+vLwIDAxEUFIQ+ffpAJpN1\n9NshIqJ2WL16NZYtWwYhBIKDg7F//374+/u3q6+MjAzs27cPwcHBiI6O7rJhoRACGRkZyMzMhJ+f\nH0aNGsXve0TULXGEIRERURdTVlaGNWvWwNbWFkuXLm3X4uxCCBQWFiI7OxtqtRp5eXkwGAyQy+Xo\n16+fMUDkLpFERNZHCIH33nsPf/7znwEAI0eOxPfffw+lUtmu/nJzc7Fhwwb06tULzzzzTJcdbSeE\nQFpaGtRqNfr164eIiAjY2NhYuiwiq8IRht0HRxgSERF1IVVVVdiwYQP0ej0WLVrU7p0cJUlCz549\n0bNnT4wbNw51dXW4fPmyMUD8+eefAQCenp7GzVNUKhXkcrkp3w4REbWRXq/Hq6++ii+//BIAMG3a\nNGzfvh3Ozs7t6u/69evYvHkzPDw8MH/+/C4bFur1epw6dQpXr17FwIEDMWTIkC47ipKIqDUYGBIR\nEXUR9fX12LRpE3Q6HZ599ll4e3ubrG97e3sEBwcjODgYQgiUlpYaw8O0tDScPHkSMpkM/v7+xgDR\nx8eHP2wREXWguro6PPPMM9i2bRsAYOHChVi7dm27Qz6tVouNGzdCLpdj4cKFcHR0NGW5VqOxsRFJ\nSUkoLCzE4MGDMWjQIEuXRERkcZySTERE1AUYDAZs3rwZ2dnZmDdvHoKDgzvs2Y2Njbh69Sqys7OR\nnZ2N4uJiAICrq6tx6nJAQECX/UGTiMga6HQ6PPnkkzh8+DAA4He/+x0+/vjjdk+prampwbp166DT\n6bBkyRL06NHDlOVajdraWiQlJaGkpATDhw9HYGCgpUsismqcktx9MDAkIiLq5IQQ2LNnD86cOYPH\nHnsMkZGW/TecTqczjj7MyclBbW0tJEmCn5+fMUDs1asX14UiIjKR69evIzo6GmlpaQCAjz76CK+/\n/nq7R3k3NDRgw4YNKCgowMKFC6FSqUxYrfUoLCzEyZMn0dDQgBEjRqBPnz6WLonI6jEw7D4YGBIR\nEXVy8fHxOHbsGMaPH49JkyZZupybGAwGFBQUGAPEgoICAICDgwMCAwONAWJ711okIurucnJyMGXK\nFKjVashkMnz99ddYsmRJu/szGAzYtm0bLl68iDlz5iA0NNSE1VoHg8GA8+fP4+LFi3Bzc8Po0aOh\nUCgsXRZRp8DAsPvgGoZERESdWEpKCo4dO4Zhw4Zh4sSJli7nNjY2NujTpw/69OmDSZMmobq6Gjk5\nOVCr1cjOzkZGRgYAwMfHxxge+vv7w9aW/0QhIrqfM2fOYPr06SgsLISDgwO2bt2KGTNmtLs/IQR+\n/PFHXLx4EVOnTu2SYWFVVRVOnDiBkpISBAQEYOjQofyeQ0R0B/zKSERE1EldvHgRP/zwA/r374/H\nH3+8U2ww4uTkhLCwMISFhUEIgaKiIuPow+TkZBw/fhx2dnZQqVTGANHT07NTvDcioo505MgRzJo1\nCzqdDu7u7vj+++8xZsyYB+ozMTERKSkpiIqKwqhRo0xUqfXIz8/HqVOnAACjRo2Cv7+/hSsiIrJe\nDAyJiIg6oatXr2LHjh3o1asX5syZ0ynXA5QkCT169ECPHj0wZswY1NfXIzc31xggXrp0CQDg7u6O\noKAgBAUFQaVSwd7e3sKVExFZ1nfffYcFCxagrq4OvXr1wv79+xEWFvZAfZ45cwaHDx/G4MGDMXny\nZBNVah0aGxuRnp4OtVoNT09PjBo1Ci4uLpYui4jIqjEwJCIi6mSKi4uxadMmuLm5Yf78+ZDL5ZYu\nySTkcjkGDBiAAQMGAABKS0uNU5fT09ORkpICGxsb+Pv7Y+LEiejbt6+FKyYi6nhfffUVli1bBoPB\ngIEDB2L//v0P/PXw0qVL2LNnDwICAjBr1qwuNapbp9Ph+PHj0Gq1GDhwIMLCwiCTySxdFhGR1WNg\nSERE1IlUVFRg48aNkMlkWLhwIZydnS1dktl4enrC09MTDz30EBobG5GXl2dc9zAuLg6LFy9Gz549\nLV0mEVGHEELg/fffxzvvvAMAGDFiBP7zn/9AqVQ+UL8FBQXYtm0bevTogXnz5nWZME0IgdzcXKSl\npcHW1hbjxo3j9wwiojbofPOXiIiIuqna2lps3LgRNTU1iImJgYeHh6VL6jC2trbo168fHn30UTz3\n3HNwcHDAxo0bUVZWZunSiIjMTq/X45VXXjGGhVOnTsWhQ4ceOCwsKSlBXFwcnJ2dERMT02WWfGho\naEBycjJOnToFLy8vTJkyhWEhEVEbMTAkIiLqBBobG7FlyxYUFxdj3rx53foHHzc3NyxcuBB6vR4b\nNmxAdXW1pUsiIjKburo6LFiwAP/4xz8AAAsWLMCePXseeA2+yspKbNiwAQCwcOHCLrOmX2lpKQ4c\nOIC8vDyEhYVh/PjxcHR0tHRZRESdDgNDIiIiKyeEwK5du5Cbm4tZs2YhMDDQ0iVZnLe3N+bPnw+d\nToe4uDjU19dbuiQiIpOrqKjAY489hq1btwIAli9fjn//+98PvHZtXV0d4uLiUFVVhfnz58PLy8sU\n5VqUEAJZWVk4fPgw9Ho9Jk6ciJCQkE65KRgRkTXgV08iIiIrJoTA/v37kZGRgcmTJ2PIkCGWLslq\n+Pv7Y/bs2fjll1+wY8cOGAwGS5dERGQyRUVFmDhxIg4dOgQA+PDDD/H3v//9gQMwvV6Pbdu2obCw\nEHPmzEHv3r1NUa5F1dXVITExEWfOnIGvry+mTJkCb29vS5dFRNSpMTAkIiKyYsePH0dycjJGjhyJ\nqKgoS5djdYKDgxEdHY2srCx8//33EEJYuiQiogd2+fJljBkzBmlpaZDJZFi7di3efPPNB969WAiB\nPXv2QK1WY8aMGcZd6Tuz4uJi/Pe//8X169cxbNgwjBkzpsusxUhEZElm3SVZkqThQoi05mMAqQBy\nmk4fFEL8WpKkOQDKAQwXQqxourZVbURERF3Z2bNnceDAAYSGhmLq1KkP/INiVxUZGQmdToeEhAS4\nurpi0qRJli6JiKjd0tPTMW3aNBQWFsLBwQFbt27FjBkzTNL3oUOHcPbsWUycOBHDhg0zSZ+WYjAY\ncOHCBWRmZsLZ2RmPPPJIt9oMjIjI3MwWGEqSNBnAagDNCy15CiGkpnPDAZQ3/QkhxEFJkgKaX7em\nrTmIJCIi6opycnKwe/duqFQqPPHEEwwL72PSpEmoqKjAsWPH4OrqisjISEuXRETUZkePHsXMmTOh\n0+ng7u6OvXv3YuzYsSbpOzk5GT/99BMiIiIwfvx4k/RpKdXV1UhOTkZxcTH69u2L4cOHw87OztJl\nERF1KWYLDJvCvZyWr1ucjhRCfCVJ0kcADjS15QCYDMCrlW0MDImIqEu6du0atmzZAqVSiaeffhq2\ntmadENAlSJKExx9/HFVVVfjhhx/g4uKC4OBgS5dFRNRqO3fuxPz581FXV4devXph//79CAsLM0nf\nGRkZ2LdvHwYOHIjo6OhO/UuoX375BSdPnoTBYMCIESOgUqksXRIRUZfU4WsYNo083Nr00h1AaYvT\nXm1oIyIi6nLKysqwceNGODo6IiYmBg4ODpYuqdOQyWSYM2cOevXqhR07diAvL8/SJRERtcrXX3+N\nOXPmoK6uDgMGDEBSUpLJwsLc3Fzs3LkTffr0wezZszvtrsF6vR5nzpxBYmIinJycMHnyZIaFRERm\nZInvFo8KIcot8FwiIiKrVl1djQ0bNkCv1yMmJgZubm6WLqnTkcvlmD9/Ptzc3LBp0yZoNBpLl0RE\ndFdCCLz//vt48cUXYTAY8NBDDyExMRF9+/Y1Sf/Xr1/H5s2b4eHhgfnz53faabsVFRU4fPgwsrKy\nEBQUhEceeYTfI4mIzMwSgeHwFsflADybjt0BlLSh7SaSJL0oSVKKJEkpxcXF5qibiIjIbOrr6xEX\nFwedTof58+fD29vb0iV1Ws7Ozli4cCFsbGywYcMGVFRUWLokIqLbGAwGvPrqq/jTn/4EAJgyZQoO\nHz5ssq//Wq0WGzduhFwuR0xMDBwdHU3Sb0e7evUqDhw4gKqqKowZMwbDhw+HTCazdFlERF1ehy6K\nJElSwC1NWwA0r0oeAKB5ncPWthkJIb4C8BUAREZGChOVTEREZHYGgwE7duzAL7/8gnnz5sHf399k\n/ZaVlUGj0UCj0cDT0xODBg0ySd/WzsPDAzExMVi/fj02btyIxYsXW3x6d11dHSorK1FRUYGKigpU\nVlaioaEB4eHhUCgUFq2NiDpWXV0dFi1ahC1btgAA5s+fj/Xr10Mul5uk/5qaGmzcuBH19fVYsmQJ\n3N3dTdJvR2psbMTp06dx+fJlKJVKjBw5Es7OzpYui4io2zDnLslzAERKkjRHCLG9xamWG6GkSZIU\n2bSuYXnzzsetbSMiIurshBD4/vvvkZWVhccee+yuG3UIIVBVVWUM/4qLi43Hd3qt0WhQUlICg8Fw\nUz9Dhw7F4sWLsWDBgi4/irFnz56YN28e4uLisGXLFsTExJh9A5nGxsbbQsHm4/r6euN1kiTB2dkZ\n9fX1SExMxCOPPGLxQJOIOkZFRQWeeuopHDx4YwzEa6+9hr///e8mW1uwoaEBmzdvRmlpKWJiYtCj\nRw+T9NuRysvLceLECeh0OgwaNAihoaGddu1FIqLOShKi6w3Gi4yMFCkpKZYug4iI6K7q6+uh0WiQ\nkJCAixcvwsvLCzY2NncM/prb6urqTPZ8W1tbPPbYY1i8eDGio6NNNqrFGp09exY7d+5EaGgoZs+e\n/cC7gxoMBlRVVd0WClZWVqK6uvqmax0dHeHi4gJXV1fjh4uLC5ydnSGTyVBSUoIjR47Aw8MDEyZM\n4DQ7oi6uqKgI0dHRSE1NBQB88MEHePPNN022a7HBYMC2bdtw8eJFzJ4922Qbp3QUIQTUajXS09Nh\nZ2eHkSNHdsrAk6grkyQpVQgRef8rqbNjYEhERPSAbp36e6/Qr/lDp9MhIiICM2bMQFpaGvbs2dOm\nZ8rlciiVSiiVSnh7exuP79bm5eWF06dPY/369diyZQu0Wq2xL6VSiZiYGCxevBhDhw419afHKvz0\n0084ePAgRo0ahalTp973eiEEampqbhslWFlZicrKSrT895Odnd1NgWBzKOji4tKqDQauXr2KEydO\nQKVS4aGHHjJZcEBE1mX37t145ZVXkJeXBxsbG3z11VdYunSpyfoXQuCHH35ASkoKpk6dilGjRpms\n745QX1+PlJQU5Ofnw9fXFyNGjODIayIrxMCw+2BgSEREdBdVVVVITExEUVFRm6f+3s/AgQPx9NNP\nIzs7G1u2bIGHh8d9Q7+WbS4uLu0OlmpqarB7926sX78eBw4cuKn2IUOGYPHixYiJiYGPj0+7+rdG\nQgjs27cPJ0+exKOPPoqoqCgAt68r2DIg1Ov1xvtlMtkdRwq6urpCLpc/cMiXkZGBjIwMDBky5K7T\n0omoc7py5QpeffVV4y+GHBwcsHnzZsyaNcukz0lISMDhw4cxevRoTJkyxaR9m1tJSQmOHz+Ompoa\nDB48GAMHDuQvT4isFAPD7oOBIRER0R3s27cPL7zwAvLz89t8r6ur6z2DP0dHR1y+fBnu7u6YM2cO\nfHx8LDYVtaCgABs2bMD69etx8eJFY7utrS2io6OxaNEiPP744516ynLzuoI6nQ4nTpxAeXk5evbs\nCb1ef8d1BVuGgc0fjo6OZv3hVQiBEydOIC8vD2PGjIGfn5/ZnkVEHaOhoQGffvop/vrXvxqXK5g6\ndSr+7//+D0FBQSZ91pkzZ7B7924MHjwYTz75ZKcJ24QQ+Pnnn3Hu3Dk4OTlh1KhR8PLysnRZRHQP\nDAy7j1YHhpIkqQAMB/AQgFMA0oQQueYq7EEwMCQiovbSarX43e9+h7Vr1wK4MbKsR48erZr22/xh\nb29/1/41Gg3Wrl0LR0dHPPfcc1az46MQAidPnsT69euxadOmm6Yse3l5YcGCBVi8eDGGDRtmlT+I\n3m1dwYqKCtTU1Nx2bU1NDVQqFXr16mUMBZ2dnS26qH5jYyOOHDkCnU6Hhx9+uFPuakpENyQmJmLZ\nsmU4f/48gBubMH3++eeYM2eOyb+GXrp0CZs2bUK/fv2wYMGCTrMWam1tLZKTk3H9+nX07t0bkZGR\nnfqXU0TdBQPD7uO+gaEkScMAvAWgBEAabuxyHAAgAoAHgA+EEGfMXGebMDAkIqL2uHVU4bhx47B2\n7VqTjQSpqKjAmjVr0NjYiKVLl8LDw8Mk/ZpabW0t9uzZg/Xr12P//v03TVkOCwszTln29fXt8Nr0\nej1KS0uh1WpvCgWrqqpuWldQLpffcaSgi4sLGhsbsW7dOpSXl2PJkiUWeR93U1NTg4MHD0KSJDzy\nyCNwdHS0dElE1AYlJSV48803sWbNGgCAjY0NXn75Zbz33ntwc3Mz+fMKCgrw7bffwsvLC4sXL77n\nL6ysyfXr15GcnIyGhgYMHToUAQEBVvnLKCK6HQPD7qM1geHzQohv7nH+BSHE1yav7AEwMCQiora4\ndVSho6MjPvzwQ7z88ssmG3FWW1uL9evXo6ysDIsXL0bPnj1N0q+5/fLLL9i4cSPWrVuHCxcuGNtl\nMhmmT5+ORYsWYcaMGWb7IbU5ICwqKkJxcTFKSkqMawvKZLLbQsHm4/vVo9PpsGbNGhgMBjz33HNW\nFd6WlZXh8OHDcHd3x8SJEzvNaCGi7kwIgfXr1+P1119HSUkJACAyMhL//Oc/ERERYZZnlpaWYs2a\nNZDL5Vi6dClcXFzM8hxTMhgMOH/+PC5evAg3NzeMHj0aCoXC0mURURswMOw+WhMYbhFCPN1B9ZgE\nA0MiImotc48qBG5MNd24cSOuXr2KBQsWIDAw0GR9dxQhBFJSUoxTlsvKyoznPDw8jFOWIyIiHmiU\niMFguCkg1Gg0xoDQ3d0dPj4+8Pb2hoeHxwOvK1hcXIy1a9fC2dkZzz33HJycnNrdl6nl5+cjKSkJ\n/v7+GDlyJEfeEFmxjIwMLFu2DAkJCQAANzc3fPDBB/j1r39ttsC/srISa9euRW1tLZYuXdop1v2r\nqqrCiRMnUFJSgoCAAAwdOhS2traWLouI2oiBYffRmsDwlBDioQ6qxyQYGBIR0f3cOqrQyckJH374\nIV566SWTrmMnhMCOHTuQkZGBJ598EkOGDDFZ35ZSV1eHvXv3Yv369di3b99NuwmHhIRg8eLFWLhw\nYatGURoMBpSVld0UEDY2NgIAFAqFMSD09vY2yyjGq1ev4t///jd8fX3x7LPPws7OzuTPaK/MzEyc\nP38eYWFhCAkJsXQ5RHSL6upqvPfee1i5cqXx69b8+fPxySefmHUUeX19PdavX4/i4mIsWrQIvXv3\nNtuzTCU/Px+nTp0CAJx3eFsAACAASURBVERERMDf39/CFRFRezEw7D5aExiWAlh9p3NCiLfMUdSD\nYmBIRET38uOPP+LFF180jiocP3481q5da5aRf/v378eJEycwefJkjBkzxuT9W9q1a9ewceNGrF+/\nHhkZGcZ2GxsbTJs2DYsWLcLMmTPh8P+xd+dxVdZ5/8dfh33fQQEROIC4IYFooOY2WjPt01Q22eR2\n1920qW2aZU6ljdmdmk23Nc24lNlM2a+aaZnKtdxSQkERVDiAyo7AYeecw7l+fyDXDa6gwDnA5/l4\n8PB4cTjXB5dzuN7n8/1+nJyA5oCwsrJSDQhLS0vVC20PD482AWHL13S1jIwMPv30U6Kiopg2bZpF\nB5+01jKIJi8vjzFjxvSIUECIvuKrr77i8ccfJy8vD4DIyEj+93//l6lTp3bpeZuamvj444/R6XTc\nd999DBo0qEvPd62ampo4fPgw2dnZ+Pj4kJiY2COWTgshLk0Cw76jPYFhFvD6xT5nbXsXtpDAUAgh\nxMVUVlby9NNPd3lXYYu9e/fyww8/MHr0aH7961/36mWliqKQkpLChg0b2Lx5M+Xl5QBoNBqGDRvG\n73//e2JiYjCZTBiNRgDc3d3VgDAgIKDbAsKLOXjwIN988w1xcXHcdtttVvN31dTUxM6dO6msrGTy\n5MlWtdeiEH3R6dOnmTt3Lp9//jnQPGBp0aJFLFiwoMufwxRF4csvvyQ1NZXbbruN+Pj4Lj3ftaqq\nqmLfvn3o9Xqio6MZPny47MkqRC8ggWHf0Z7AMLmn/WOQwFAIIcT5vv32Wx566CHy8/OBru0qBDhy\n5Aj/7//9P4YOHcrdd99tNQFUV1MUhbKyMnbu3EleXh4+Pj5qN0lhYSEFBQWEhIRw8803o9VqLVxt\nW9u3b+enn35iwoQJTJw40dLlqBoaGti6dSuKojBlyhSZnCyEBRiNRtasWcOSJUuora0FYMqUKbzz\nzjvd1uW3detW9uzZw8SJE5kwYUK3nPNqKIpCbm4uKSkp2NnZMXr06B4z6EsIcWUSGPYd7dllVpI3\nIYQQPVZ3dxUC6HQ6vvjiC0JDQ/ntb3/bq8NCRVGoqqpqs8S4sbERgCFDhuDu7s6xY8fYtGkTe/bs\nUb9u7ty53HjjjcycOZM77rjDot2FLSZNmkR1dTW7du3C3d29yyabdpSTkxPjxo1j+/bt7N69m0mT\nJsmgACG60b59+3jkkUdIS0sDoF+/fqxatYr77ruv257fDxw4wJ49e4iPj2f8+PHdcs6rYTQaSUlJ\nIS8vj4CAAK6//np5k0MIIXqo9nQYLgf+oSjK4Yt8Lg6419r2MpQOQyGEEND9XYUARUVFrF+/Hi8v\nL2bNmmUVQVhnUhSF6upqNSAsKSlRA0IXF5c2S4xdXV3bfN3hw4fZsGEDH330EWfPnlU/5+npyX33\n3cfMmTMtPhG4qamJf/zjH2RnZzNt2jSio6MtVsv5CgoK2L17NwMGDCApKalXB9FCWIPy8nKef/55\n/vrXvwLNWyw8+uijLF26FC8vr26r49ixY3z66adER0dz7733Ws0+q+erqKhg37591NbWMnToUIYM\nGWK1tQohrp50GPYdVwwMATQazbPAVKACKAd8AU/gB0VR/qdLK7wKEhgKIUTfZomuQmi+WFq3bh02\nNjbMmTMHDw+PLjtXd1EUhZqamjYBYUNDAwDOzs4XBITtCbEMBgNff/01Gzdu5Ouvv1aHngBER0cz\nY8YM/vCHP1hsyIfBYGDjxo2UlJTw4IMPEhISYpE6LiYzM5O0tDSGDh3K8OHDLV2OEL2Soih8+OGH\nPPPMM5SWlgIQFxfHe++9x6hRo7q1lry8PD788EMCAwOtbpJ7C0VROHnyJGlpaTg6OpKYmIi/v7+l\nyxJCdBEJDPuOdgWG6p01Gk9AC+gURdF3WVXXSAJDIYTouyzRVQhQV1fHunXrqK2tZfbs2T36Yun8\ngLC+vh5oXhrbOiB0c3O75i63kpISNm/ezIYNG0hNTVWPazQapk6dysyZM7nzzju7fUlbbW0t69at\no76+ntmzZ+Pn59et578URVE4ePAgubm5JCYmMnDgQEuXJESvkpGRwaOPPsrOnTuB5uFMS5cu5dFH\nH+32rQBKSkpYt24d7u7uzJo1CxcXl249f3s0NjZy8OBBCgoKCAoKYtSoUTg6Olq6LCFEF5LAsO9o\nz5LktYqi/PHc7esutjTZ2khgKIQQfU9lZSVPPfUU69evB7qvqxCa92z64IMPKCoq4g9/+EOPC3Fq\na2vVcLCkpIS6ujoAHB0d2wSE7u7uXboM9vDhw2zcuJFNmzZRVlamHvfw8GDatGnMnDmzW5fiVlRU\n8Pe//x07OzvmzJmDu7t7t5z3Spqamti1axfl5eVMmjQJX19fS5ckRI9XX1/PsmXLWLFihTrJ/Z57\n7mHVqlUEBwd3ez16vZ6///3vKIrCnDlzunUJdHuVlpayf/9+GhsbiY2NJTIyUrZKEKIPkMCw72hP\nYHhQUZRR59+2ZhIYCiFE32KprkIAs9nMP//5T06ePMk999zDkCFDuvyc16qurq5NQNgy8dPBwaFN\nQOjh4WGRiz+DwcC3337Lhg0b+Oqrr9osWY6KimLGjBnMmTOH/v37d3ktBQUFbNy4EW9vb2bOnGk1\ne1I2NjaydetWmpqamDJlilV2HgnRU3z77bc8/vjj6HQ6ALRaLe+88w6//vWvLVJPfX0969evp6qq\nipkzZ3bLc11HKIrCiRMnSEtLw9XVlaSkJLy9vS1dlhCim0hg2He0JzBMbvnH0Pq2NZPAUAgh+gZL\ndhVC80XTv//9bw4dOsTNN9/c7XtbdURZWRm5ubmUlJRQU1MDNAeE/v7+akDo6elpdd0hpaWlfPzx\nx2zYsIFDhw6pxz09PXnrrbd48MEHu7zm7OxsNm/eTGhoKPfff7/VTCjW6/Vs374dV1dXJk+ebDV1\nCdFT5OfnM2/ePLZs2QKAvb09CxYsYNGiRRab7Gsymfjwww85c+YMDzzwAOHh4Rap41JMJhPJycmc\nOnWK4OBgRo8ebZX7Kgohuo4Ehn2HdBgKIYTokSzZVdhi586d7Nq1ixtuuIHJkyd323k7wmg0cuTI\nEbKysrC3t8fPz4+AgAA1IOxJEyzT0tLYuHEjGzZsoLy8HIDbbruN9957j8DAwC49d2pqKl988QXD\nhw/nrrvusppgtbCwkN27dxMUFMSYMWOspi4hrJnJZOKdd97hxRdfVN9AmThxImvXrmXw4MEWq8ts\nNrNlyxYyMjL43e9+Z3WDjWpqatizZw96vZ6YmBgGDx4szzlC9EESGPYd7QkMzUA2oKF54EnLbUVR\nlKgur/AqSGAohBC9l6W7Clv88ssvfPXVV1x33XXcfvvtVnnRVFJSwsGDB6mtrSUqKoqYmJhe0YVW\nUlLCo48+ymeffQaAt7c3f/nLX/j973/fpX8Pu3fvZtu2bSQmJnLTTTd12Xk66sSJExw+fJjBgwcz\nYsQIS5cjhFU7cOAAjzzyiNqx7O/vz8qVK5k+fbpFn8cVReHbb7/l4MGD3HjjjSQlJVmslospLCxk\n//79aDQaEhMTrW6ZtBCi+0hg2He056pBNqQQQghhFb755hsefvhhi3YVAhw/fpyvv/6ayMhIbr31\nVqsLC1t3Fbq5uTFp0qQePbX5fAEBAXz66af885//5LHHHqO8vJzp06ezZcsW3n33XQICArrkvGPH\njqW6upr9+/fj4eFhNRf0UVFRVFVVkZmZiYeHB2FhYZYuSQirU1lZyaJFi3j33XdpaZj47//+b/78\n5z9bxf57u3fv5uDBgyQlJVnNcws0B5nHjh0jPT0dLy8vxowZg5ubm6XLEkII0Q2u2IqhKIr+Uh/d\nUaAQQghRWVnJrFmzuOWWW8jPz8fFxYU1a9awY8eObg8LT58+zZYtWwgMDOSee+7B1ta2W89/JSUl\nJXz//fdkZWURFRXFjTfe2KvCwhYajYb77ruP9PR0br/9dgA+//xzhg0bxqefftpl57zpppsYOnQo\n33//PUeOHOmS83SURqMhPj6egIAAkpOT20yYFqKvUxSFzZs3M3jwYNauXYuiKMTGxrJv3z7effdd\nqwgLDx8+zPbt24mJiWHq1KmWLkdlMBjYs2cP6enphIaGMnnyZAkLhRCiD+k5GxcJIYTok7755huG\nDx/Ohg0bAJgwYQJpaWk88cQT3b7/XllZGR9//DEeHh7cf//9ODg4dOv5L8doNJKSksLOnTvRaDRM\nmjSJuLi4XrEE+XL69+/PF198wYcffoiXlxdlZWXce++9TJs2rUuCMxsbG377298SGhrKF198oU5V\ntTQbGxuSkpJwcXFhz5496uRrIfqyEydOMHXqVKZPn05xcTGurq6sXLmS5ORkEhMTLV0eAFlZWfzr\nX/8iPDycO+64w2o61vV6PVu3bqWwsJC4uDhGjx7d619PhBBCtCWBoRBCCKt0sa7Ct99+m+3bt3d7\nVyFAdXU1mzZtwsbGhgceeABXV9dur+FS+kpX4aVoNBoeeOAB0tPTufnmmwH45JNPGDZsGJ9//nmn\nn8/Ozo777rsPPz8//vnPf1JUVNTp57gajo6OjBs3DrPZzO7duzEajZYuSQiLaGhoYMmSJcTExLBt\n2zYA7rrrLjIyMpg/f77VBF/5+fl88skn9OvXj2nTpllNx/rp06fZtm0bJpOJiRMnEhUVZTVBphBC\niO4jgaEQQgirc6muwscff9wiU30bGhr46KOPqK+v5/7777eKJWzQd7sKLyUoKIivvvqKdevW4eHh\nQUlJCXfddRcPPPCAOlW5szg5OTF9+nScnJz46KOPqKys7NTHv1oeHh6MGTOGqqoq9u/fj9lstnRJ\nQnSr77//npiYGF555RUMBgNhYWF89dVXfPbZZ4SEhFi6PFV5eTmbN2/G1dWV+++/H0dHR0uXhNls\nJjU1lX379uHp6cnUqVP71JtPQggh2pLAUAghhNWwtq5CAJPJxCeffEJpaSn33nsvQUFBFqnjfH29\nq/BSNBoNs2bN4ujRo9x4440AfPTRRwwbNoyvvvqqU8/l4eHB9OnTMZlMbNq0ibq6uk59/KvVr18/\n4uLiKCwstJp9FoXoaoWFhdx3333cdNNNZGVlYWdnx/PPP096ejq33HKLpctro7a2lk2bNqEoCtOn\nT8fd3d3SJdHY2MiPP/7I8ePHiYiIYOLEiTg7O1u6LCGEEBakaZkS1iUPrtHEK4qS0vr3gBZAUZQt\n547dDVQC8YqirOjIsUtJSEhQkpOTu+A7EkII0R51dXWYTKYOfc327dt59tlnKS4uBiAxMZE333yT\n0NDQriix3X744QeOHj3KnXfeSWxsrEVrgQsnII8aNUqCwktQFIX333+fp59+mpqaGgBmzJjB6tWr\n8fLy6rTznDp1ig8++IDAwEAefPBB7O3tO+2xr0VKSgpZWVkkJCSg1WotXY4QXaKpqYm1a9fywgsv\nUFVVBcANN9zA2rVrGTZsmIWru5DBYGDjxo2UlJQwY8YMBgwYYOmSKC8vZ+/evTQ0NDBy5EjCw8Mt\nXZIQwoppNJpfFEVJsHQdout1WWCo0WimAO8pihLR6tiniqLco9FongO2njusVRRli0ajeRhIbu+x\n1kHk+SQwFEKI7mUymcjLyyMrK4vs7GxKS0stXVKn+tWvfsW4ceMsXQYlJSUcPHiQ2tpaoqKiiImJ\n6bPLjzsiNzeX2bNns2PHDgCCg4P529/+xq9//etOO0dGRgaffPIJgwYNYtq0aRZZOn8+s9nMTz/9\nRGlpKePHjycgIMDSJQnRqZKTk3nkkUf45ZdfAPDz8+ONN95gxowZVrXnXmVlJdnZ2WRnZ6PT6TAY\nDEybNo3o6GhLl0Zubi7Jyck4OTkxZswYfHx8LF2SEMLKSWDYd3R1h+EPiqJMPXf7bppDvxWtPv86\n8IOiKFvPBYzxgG97jl2uy1ACQyGE6FqKonD27Fk1IMzNzcVkMmFra0toaCjh4eHtWsp09OhRPvjg\nA3X/t0GDBjFjxgyr6phzd3e3+IbvRqORtLQ0srOzpavwKpnNZt59912effZZdenwf/3Xf/Hmm2/i\n4eHRKec4ePAg33zzDfHx8dx6661WEVgYDAa2bdtGY2MjU6ZMwc3NzdIlCXHN9Ho9L774Iu+88w4t\n1zL/9V//xfLly/H19bVwdc3P2a3fRGuZ2O7h4UFkZCQxMTGEhYVZtMampiYOHz5MdnY2AQEBJCYm\n4uTkZNGahBA9gwSGfUd3tiWMAnVZ8pRzgZ8X0HoXct8OHBNCCNGNGhsb0el0ZGdnk5WVhV6vB8DX\n15f4+HgiIyMJDQ3FwcHhio9VWVnJ/Pnz1aEmLi4uvP766zz66KNW0ZllTaSrsHPY2Njw6KOPctNN\nNzFr1ix++ukn/va3v/Hdd9+xbt06pkyZcs3nGDVqFFVVVezevRt3d3cmTpx47YVfIwcHB8aNG8e2\nbdvYvXs3kydPbtf/USGskaIofPLJJ8ybN0+dTj58+HDeffddxo4da9G6ysrK1IAwLy9PfRMtLCxM\nfY308/OzijcS6uvr2bt3L2fPniU6OpqYmBh57RVCCHGB7r7iOKsoSopGo5lyruNQCCGElVIUhaKi\nIrKyssjKyuLMmTOYzWYcHBwIDw9n3LhxREREdHhi8DfffMNDDz1EQUEB0DwBed26dbLH2nnO7yqc\nNGmSdBV2goiICHbu3Mnbb7/N888/z+nTp5k6dSp//OMfWbFixTV34E2ePJmamhp27dqFu7s7I0eO\n7KTKr567uztjxoxh165d7N+/n3Hjxkk4IHqcrKwsHnvsMb7//nug+Y2mP/3pT8ybN88i+4Y2NDSg\n0+nUkLBl/0Q/Pz9GjhypvolmLXuatigtLWXfvn2YTCaSkpKsanK0EEII69KdgeFZQHfudiXNHYeV\nQMtGGV7n7kMHjgkhhOhEtbW16j5LWVlZ6tLN/v37M2bMGCIiIggJCcHW1rbDj32xrsIVK1bwxz/+\nUcKL80hXYdeysbFh7ty5/OY3v2HWrFns3buXtWvX8u2337J+/fpr6gzUaDTceuut1NTU8PXXX+Pm\n5mYV+5QFBAQwcuRIkpOTSU1NJS4uztIlCdEutbW1rFixgtdff53GxkYA7rjjDtasWcPAgQO7rQ5F\nUSgoKFADwjNnzqAoCo6Ojmi1WsaPH09ERESnDlTqTIqikJWVxeHDh3F1dWXChAl4enpauiwhhBBW\nrDuvPrYALV2FXsBBmgPElrXvWv5vEEp7j6nODUN5GOjWHx6EEKIna2pq4syZM+oFUGFhIdAc5kVE\nRKgf19p19fXXX/Pwww9LV+EVSFdh9xo0aBA//vgjq1at4sUXXyQ3N5dJkybxxBNP8Oc//xlXV9er\nelxbW1vuueceNm7cyJYtW6xmEqpWq6WqqooTJ07g7u5OZGSkpUsS4pIUReEf//gHzz33HGfOnAEg\nJCSEt99+mzvuuKNbaqipqVHfQNPpdOqbaEFBQYwbN47IyEiCg4Ov6k207mQymfjll1/Iy8sjKCiI\n0aNHy9YEQgghrqgrpyTfDbwPPKQoypZzxx6meS/CUYqiLGh1TEfzQJS/duTYpcjQEyGEuLTKyko1\nIGyZ1qjRaAgJCSEiIoLIyEgCAwM7ZZ+liooK5s+fz8aNGwHpKrwc6Sq0rIyMDGbOnMmBAweA5qXL\nGzZsuKbp2LW1taxbt476+npmz56Nn59fZ5V71cxmM3v27KGoqIjx48fTr18/S5ckxAV++eUX5s6d\ny549ewBwdHTkqaeeYtGiRV06uKepqYnTp0+rr5Et+yS6urqqr49arfaq30ywhNraWvbs2UNlZSXD\nhg1j6NChVrGPohCi55KhJ31Hl05JthQJDIUQ4v8YjUZyc3PVC6CzZ5t3dfD09FQvgMLDwzt9OqJ0\nFbaPTEC2HiaTif/5n/9hyZIlapA+b948li1b1q6p3xdTXl7OunXrsLOzY86cObi7u3dy1R1nNBrZ\ntm0b9fX1TJkyxSpqEgKgqKiIF154gfXr16vTj++66y7eeOONLnvtqKioUF8fc3JyMBgM2NjYEBIS\nQmRkJBEREfTv379HhmxFRUXs378fRVFITEwkMDDQ0iUJIXoBCQz7DgkMhRCil1EUhdLSUnUZVV5e\nHk1NTdjZ2REWFqaGhL6+vp16AaQoCoWFhaSmpvLxxx/z4YcfAtJVeDnSVWidjh49yowZM0hJSQGa\nly5v3LiRxMTEq3q8goICNmzYgI+PD7NmzcLR0bEzy70qNTU1bNu2DXt7e6ZMmSLLE4VFNTY2smbN\nGl599VWqq6sBiImJYfXq1UyePLlTz2UwGNq8iVZeXg6Al5dXmzfRrOH/6dVSFIXMzEyOHj2Kh4cH\nY8aMkTcGhBCdRgLDvkMCQyGE6AXq6+vJycm56LTGyMhIIiMjGThwYKdNa2xoaCAjI4PU1FTS0tLU\nX8vKytrcT7oKL066Cq2f0Whk+fLlvPLKK5hMJmxsbHjmmWd4+eWXr6obNysri48//pjQ0FCmT59u\nFXuelZaWsmvXLvz8/Bg/frwE+qLbKYrCV199xVNPPUVWVhYAPj4+LF26lIceeqhT3kBRFIWSkhL1\n9fHUqVPqm2jh4eFqSOjj49MjuwjPZzQaOXDgAPn5+YSEhDBq1Ch5I0oI0akkMOw7JDAUQogeyGw2\nU1hYeMlpjS0XQNc6AbF112DrYDAzM5OmpqaLfo2dnR1DhgzhkUce4ZFHHpEQ4jzSVdizHD58mJkz\nZ5KamgrA0KFD2bBhA6NGjerwY6WmpvLFF18wfPhw7rrrLqsIJ3Jzczlw4AARERHEx8dbRU2W1tTU\nhEajkeeuLpaRkcH8+fP57rvvgOZhQY899hhLlizBx8fnmh67vr6e7Oxs9aOlazEgIEB9fRw4cGCv\ne+6tqqpiz5491NTUMGLECAYNGiT/p4UQnU4Cw75DAkMhhOghqqur21wA1dfXA83TGlsugAYMGHDV\nF7kNDQ0cO3asTTCYmpqq7nl4MX5+fsTGxhIbG8uIESOIjY1lyJAhPXopV1eRrsKey2AwsHTpUl57\n7TWampqwtbVl4cKFLF68uMP/1nfv3s22bdtISkrixhtv7KKKO6blTYC4uDiioqIsXY5FKIpCeXk5\nOp2O06dPY29vT2xsLCEhIRK4dLKKigpefvll/vKXv6hvPE2dOpXVq1czdOjQq3pMs9lMQUGB+iZa\nfn4+iqLg5OSEVqtV9yL08PDozG/FquTn5/Pzzz9ja2tLUlISAQEBli5JCNFLSWDYd0hgKIQQVqqp\nqYlTp06pF0DFxcVA87TGloufiIgIXFxcOvS4iqJQUFBwQTB4/Pjxy3YNDh48uE0wOGLEiB67EXx3\na91VOGjQIIYPH97rOlv6gl9++YUZM2aQnp4ONO+xtnHjRuLi4tr9GIqi8O2333Lw4EFuvPFGkpKS\nuqrcDtW0Z88eCgsLGTduXJ8ajNDY2EheXh45OTno9Xrs7OwICQmhsrKSiooK/P39iY+Pv+ZubdH8\nmvb+++/z4osvqm9ERUREsHLlSm677bYOv5ZUVVW1eROtoaEBgODgYPU1Mjg4uNd3iprNZtLT08nI\nyMDHx4cxY8Z0+OcCIYToCAkM+w4JDIUQwoqUl5e3mdZoNBqxsbFh4MCBahdhv3792n1h1dI1eP6S\n4st1Dfr7+18QDErX4NWRrsLep7GxkZdffpnXX38ds9mMnZ0dL774IosWLWr3HqFms5nPPvuMY8eO\n8bvf/Y7hw4d3cdVXZjQa2bFjB7W1tfzqV7/q1Z1YLYOhdDodZ86cwWw24+Pjg1arJSQkBHt7e8xm\nMzqdjqNHj2I0GomKimLo0KEyHOYq7dixg3nz5pGWlgaAm5sbixcvZu7cue1+bTGZTG3eRCspKVEf\nqyUg1Gq1fSosa2xs5Oeff6aoqIjw8HDi4+OtYn9UIUTvJoFh3yGBoRBCWNDlpjW2DCsJCwu74gWV\ndA1an+LiYpKTk6WrsJc6cOAAM2bMIDMzE4DrrruOjRs3MmLEiHZ9vclkYtOmTZw+fZpBgwapbwh4\neXl1ZdmXVVtby7Zt27C1tWXKlCm97k2C+vp6cnNzycnJoaamBnt7e0JDQ9FqtZf8c29sbOTIkSPo\ndDqcnJwYMWIEoaGhVv0cWVdXp3bd5eTkYDAYLFaL2Wymrq4Oo9GoHnNwcMDFxaXDf4ZGo1HdEqD1\nm2gBAQFW/ffRVSorK9mzZw/19fXExcURERFh6ZKEEH2EBIZ9hwSGQgjRjc6f1piXl4fZbMbe3p6w\nsLB2TWuUrkHrJl2FfUd9fT0vvfQSb775JoqiYG9vz5IlS1iwYEG7wuGGhga2bdvGyZMn0ev1APj6\n+qrdUmFhYZ022by9zp49y44dO/D19WX8+PE9vlvJbDZTXFyMTqejoKAARVHw9/dHq9USHBzc7hC/\nvLyclJQUysvL8fPzIy4uDm9v7y6uvn3MZjNnzpxRX1cKCgoAcHZ2RqvV4urq2u01GY1GkpOTOXTo\nkPqmVf/+/Rk/fjz9+vW7qse0s7MjNDSUsLCwPt/pmZeXR3JyMg4ODowZMwZfX19LlySE6EMkMOw7\nJDAUQoguVldXh06nIzs7m6ysLGpqaoArT2s8v2uwJRhsb9dg64CwI8uYxdWTrsK+ae/evcycOZOT\nJ08CkJCQwMaNG9s9wEFRFM6ePasGPrm5uZhMJmxtbQkNDVUDRH9//275f5yXl8fPP/9MeHg4CQkJ\nPfK5o7a2lpycHHJycqivr8fR0ZGwsDC0Wi3u7u5X9ZiKopCTk8ORI0cwGAxEREQwfPhwi4RXer1e\nfU3R6XQ0Njai0WgYMGCA+roSGBjY7fv3mc1mNm/ezIIFC9TgMjg4mBUrVvD73/++R/5bsiZms5nU\n1FROnjyJv78/SUlJODk5WbosIUQfI4Fh3yGBoRBCdDKz2Ux+fn6baY0ATk5O6qCS86c1Go1Gjh49\nyuHDh6VrsAeSkDnb5AAAIABJREFUrkJRV1fHCy+8wFtvvYWiKDg4OPDqq6/y9NNPd7hLz2g0ttmr\nrbS0FAAPDw81DNJqtV0aFBw9epRjx44RGxtLdHR0l52nM7VMytXpdBQVFQHNXW1arZbAwMBO65Y0\nGAwcPXqU7OxsHBwciImJITw8vEvDMJPJRF5e3mX/TYSHh+Ps7NxlNVzJgQMHmDt3Lvv37weaX/Oe\nffZZFixYYJEux96mvr6effv2UVZWRlRUFLGxsb1+oIsQwjpJYNh3SGAohBCdoKqqSr2Q0+l0NDQ0\noNFoCA4OVi/mgoKCsLGxoampiePHj3Pw4EEOHjxIcnIyhw8fprGx8aKPbWdnx5AhQ9oEg9I1aD2k\nq1C09uOPPzJr1ix0Oh0AiYmJbNiw4ZpCN0t0kymKwr59+zhz5gzjxo0jKCio0x67s1VXV6PT6cjN\nzaWxsRFnZ2fCw8MJDw/v0qCqoqKCQ4cOUVZWho+PD/Hx8fj4+HTKY1tb1+nlFBYWsmjRIjZs2KAe\nu+eee1ixYgVhYWEWq6s3KSsrY9++fRgMBhISEggNDbV0SUKIPkwCw75DAkMhhLgKl5rW6O7ufkEH\nkE6nU4PBgwcPkpKSoi5LPt/5XYOxsbEMHjxYugatkHQVikupqalh4cKFvPPOO0Bzp9WyZcuYO3fu\nNXe5texX1xIgtt6vrnUH89Uuu23NZDKxY8cOqqurmTx5skUHspzPZDKRn5+PTqejtLQUjUZDUFAQ\nWq2Wfv36dVvnlaIo5OXlkZaWRkNDA1qtlpiYmKt6zm5oaCAnJ0d9XWm9r2XL64ol9rW8lIaGBlav\nXs2yZcvU17TY2FjeeustJkyYYOHqegdFUdDpdBw6dAhnZ2fGjh1rVf8PhRB9kwSGfYcEhkII0Q6K\nolBeXq5eyOXk5KjdHgMHDlQDQqPRyC+//NKme7CiouKij+nt7U1CQgKjRo1Sfw0ODrZ4t4i4Mukq\nFO2xfft2Zs+eTV5eHgDjxo1j/fr1REZGdto5Wk/EzcrKora2FoB+/fq12SP1aoPKuro6tm3bhkaj\nYcqUKRbfL62yshKdTsepU6cwGAy4ubkRHh5OWFiYRZfjGgwG0tPTycrKwt7eXl2mfLngUlEUCgsL\n1deV06dPq8vZtVqtVUzOvhhFUfjXv/7FU089pXbS+vn5sWzZMubMmdPjB+VYi6amJlJSUsjJyaF/\n//4kJib2+WEvQgjrIIFh3yGBoRBCXEJjY2Obbo/KykoAfHx81KVgxcXFpKSkqN2DLftmnc/V1ZWR\nI0e2CQe1Wq2Egz3M+V2Fo0ePxs/Pz9JlCStWVVXFs88+y1//+leguRPw9ddf57HHHuv0LjhFUSgu\nLlafs06dOqVOYQ8PD1eXsXZ02WxJSQk//vgjrq6uhIaGUl9fT01NDbW1tW1+dXBwICkpieHDh3fq\n92Y0Gjl9+jQ6nY7y8nJsbGwYMGAAWq3WKpbktqbX60lJSaG0tBRvb2/i4+PbTLCtra1Vw93s7Gzq\n6uoACAwMVAPCAQMGWG3odvToUebPn8/WrVuB5i0zHn/8cZYsWWJ1wWZPVltby969e6moqGDo0KEM\nHTpU9isUQlgNCQz7DgkMheiDFEWhtLQUDw8Pi3eLWBNFUSgqKmrT7WE2m3FwcGDAgAFoNBrOnDmj\ndhC2dA2dz9HRkeuuu04NBkeNGkV0dLTVXgCK9ikuLubgwYPU1dVJV6HosO+//545c+Zw5swZACZM\nmMC6devQarWd8viKomAwGNoEeHq9nvz8fEpKSqisrMRoNKr3b2pqora2Fr1eT3V19QXhX+tfDQYD\niYmJzJ8/nx9//FFdan0pPj4+jB8/nokTJzJhwgRGjBjR4bCjpatbp9Nx+vRpTCYTHh4eaLVaQkND\nrXqbBkVROH36NKmpqdTX1+Pv74/JZCInJ4fCwkIAXFxc2mxf4ebmZuGqL6+8vJwlS5awdu1ampqa\nALjppptYtWoVQ4YMsXB1vUtxcTH79+/HbDYzevRogoODLV2SEEK0IYFh3yGBoRB9zI4dO1iwYAEH\nDx4EmvdGCg4OJjg4mKCgIPV26w8/Pz+r6uDoTLW1teh0OjUkbFnO5+7ujsFgIDs7mz179pCRkXHR\nr7e1tWX48OFtOgeHDx8uy4Z6EekqFJ1Fr9fz1FNPsW7dOqC583j58uWMGjWKmpqaSwZ2l/u19e2W\nIOdSfHx8iIyMVPfCc3BwoKmpiby8PLXrrbi4+JJff9dddzFt2jQ2b97Ml19+iaOjI25ubri5ueHq\n6kp5eflFu6y9vb254YYb1AAxNjb2km+gGAwG8vLy0Ol06PV6ddsHrVaLj49Pj3gtqqysbNOZ7uXl\nhdlsxmQyqQNLAgMDe8T3YjKZeO+993jppZcoLy8HICoqilWrVnHzzTf3iO+hp1AUhRMnTpCWloa7\nuztjxozBw8PD0mUJIcQFJDDsOyQwFKKPSE1NZeHChfznP//p8Nc6ODgQGBh40TCxddBoyf2j2qtl\nYEDLxVzLwACNRkNNTQ0ZGRn8+OOPVFVVXfC1Go2G6OjoNuFgbGwsLi4u3f1tWDWDwYBer1fDC0VR\naHmt6cjtq/majtxu733Lysqkq1B0qm+++YaHHnpIff7pai4uLri6uqrBXkvI169fP3x9fXF3d28z\nSMPR0REPDw98fHzw8vJSv8bFxYWCggJKS0u5/vrrL5jUqigKWVlZ7Ny5k127drFz507y8/MvqMfT\n0/OCALGiogKdTseZM2cwm814e3uj1WoZOHCg1Qz5uBSj0Uhubq76unL27Fmg+fuMiIhgwIABVFRU\nUFZWhpeXF3FxcT1iQNK2bduYO3cu6enpAHh4ePDSSy/xxBNPyJtincxoNJKcnMzp06cZMGAAo0aN\nsvp/90KIvksCw75DAkMhernc3FwWL17MRx99pAYgY8eOZcmSJTg5OZGfn09+fj4FBQXq7ZYPg8HQ\noXN5e3tfNlAMDg7G39+/2/fhqaysVLtnsrKyMJlMKIpCRUUFR44c4fjx4xQWFnL+82FYWJi6pHjU\nqFHEx8fLu/3nMZlMVFZWUl5eTnl5ORUVFVRXV1u6LKA54G3pfrmW246OjsTGxkpXoehUFRUVzJ07\nl02bNqEoChqN5oJQ70q/tuc+Li4u7XrOraqqUoenZGdn09DQAEBwcLC6dDY4OBiz2czOnTvR6/VM\nnjwZb2/vSz5my4TXlvBw586dnD59Wv28p6cnEyZMYMqUKfTr1w+z2YynpyejRo2y6v9vLdt6tLyu\n5OXl0dTUhJ2dHWFhYeqfl6+vr/o8oigKZ86cITU1lbq6OkJDQxkxYoRVvtGWnZ3NM888wxdffAE0\nPx/OmTOHpUuX0q9fPwtX1/tUV1ezd+9eqqqqiImJITo6Wjo3hRBWTQLDvkMCQyF6qdLSUpYtW8ba\ntWvV4G/o0KEsX76cW2+99Yo/jCqKwtmzZy8bKObn51NWVtahuuzt7dt0K15qGfS1dO21dHukpKSg\n0+nU77+qqoqTJ0+SlZVFTk6OekEMzRvOtwSDCQkJJCQkWPUFqyU0NTWh1+vVYLC8vJyqqio1aHV2\ndsbHxwdvb2+8vb3V7ojOCu7Ov92ezwth7Wpra9FoNDg7O1vNv1uz2UxBQYHaMZefn4+iKDg5Oal7\nCBYVFamTk9sbeimKQk5ODrt376aiooKAgABsbW3JyMhg+/bt7N+/X518PG7cOLUDceTIkRbvtqqv\nr28zBKulC93f37/NNOor1WkymcjIyOD48ePY2NgwbNgwoqKirGKgRXV1Na+99horV65UXzfHjRvH\nW2+9RXx8vIWr650KCgr4+eef0Wg0JCUlSSArhOgRJDDsOyQwFKKXqa2tZdWqVaxYsULt9BowYACv\nvPIKDz74YKcP3mhsbKSgoOCSgWLLR2NjY4ce18vL65JhYutuRVtbW8xmM+np6ezbt0+9sLW1tcVk\nMrVZJlZaWgo07+PVelnxqFGjCAoK6tQ/l57ObDZTVVWlBoPl5eXo9XrMZjPQvEzdx8dH/fD29rbK\nThkhxLWrr69vs9drdXU1jo6OhIeHY2dnR2xsLGFhYZddrl9XV0dOTg45OTnU1dXh6OhIaGgoTk5O\nHDhwQF3GrNPpLvhaV1dXxo4dqwaICQkJXb4k1mw2U1hYqH7PZ86cQVEUHB0d0Wq16sRpT0/Pq3r8\n6upqDh06RFFRER4eHsTHxxMQENDJ30X7mM1mPvzwQxYuXKjuQRkSEsIbb7zBvffeazVBdm+iKArp\n6ekcO3YMb29vxowZg6urq6XLEkKIdpHAsO+QwFCIXsJoNPK3v/2Nl19+Wd203tvbm0WLFvHYY4/h\n7OxMU1MTp0+fVjtGWsKf7qrPYDDQ2NhIY2PjRW+3nuDZHhqNBgcHB9zc3HB3dweaOytbLvDy8vJw\ndHRk5MiRbboHw8PD5QKoFUVRqKmpabOsuKKiQt2D0N7eXu0abAkIXVxc5M9QiD5IURRKSkrIzs5G\np9Nhb29PVVUVJSUlBAYGXtApZ2tri52dHTY2Nmg0GpqamjCZTJcc0NLY2EhlZSWVlZXo9Xrq6+sv\nuI+NjQ2enp54enri5eWFu7t7p3folZSUqOcOCgpSuwgHDBjQaedSFIWCggIOHz5MbW0tISEh3b4v\n7v79+3nyySfVQWhOTk4sWLCA5557Tvbn7SJ1dXX88ssvFBYWEhYWRnx8vOyNK4ToUSQw7DskMBSi\nh1MUhS1btvDCCy9w8uRJoPkH/rlz57JgwQIAdZ+lnJwcDAYDNjY29O/f3+JLvM6nKMolw8TWt88P\nOuvq6sjOzubUqVNERES06R4cNGhQp3dV9mSKolBXV9emc7CiokINa21tbfHy8mrTOeju7i7hoBDi\noo4ePcqxY8dwcHBAr9er+zHa2dlhZ2eHRqPBbDarQWFHf+5sbGxEr9erIeKlAkQPDw+8vLw6LUD0\n8vIiIiKCiIiILg/OTCYTmZmZZGZmYmNjw9ChQ4mKiurS1678/HwWLlzIpk2b1GPTpk1jxYoVDBw4\nsMvO29coioJer6esrIyzZ89SVlambkMQFxdHRESEvL4KIXocCQz7DgkMhejBduzYwYIFC9TOABsb\nG2bPns3s2bPVQR+tpzVGRkYSGRlJeHg4jo6Oliz9qimKQmVlZZvlzoqiEB8fz/Dhw60uBLW0hoaG\nNsFgeXm5ujxco9Hg5eXVpnPQw8PDKvbSEkL0DIqicODAAfLy8hgyZAhnz56lpKQEjUZDYGAgWq2W\n/v37d9rzSmFhoTpEZdeuXWRmZl5wH0dHR5KSkpgwYQITJ04kMTERJyenTjl/V6qpqeHw4cMUFBTg\n7u5OXFwc/fv379RzNDQ0sHLlSl577TVqa2sBiIuL46233uKGG27o1HP1RSaTifLycsrKytSQsOUN\nOUdHR/z8/PDz8yMwMFCGqAkheiwJDPsOCQyF6IEOHz7MwoUL+e677wAICAjgjjvuID4+nrKysitO\naxS9k8FgaBMMlpeXq904Go0Gd3d3tWvQx8cHLy8v6b4UQlyzpqYmdu3aRVlZGa6uroSHhxMeHt4t\n+5oWFRXx448/qiHisWPHLriPo6Mj119/vboHYlJSklXvuVpYWMihQ4eoqalhwIABxMbGXvP+doqi\n8Pnnn/P000+Tm5sLNA9see2115g1a5a8Flyl+vp6NRwsKyujsrJS7aL18PBQA0JfX1/c3Nzk5zAh\nRK8ggWHfIYGhED1ITk4Oixcv5rPPPlM3XR86dKjaOdF6WmNoaKjsidOLGY1GKisr23QP1tTUqJ93\nc3O7IByU7kshRFcxGo3o9XqLvzlVUlLSJkA8evToBfdxcHBg9OjRbQJEaxs40dTUxPHjx8nIyABg\nyJAhREdHX1Wwl5aWxrx589ixYwcAdnZ2zJ07l8WLF1/10Ja+qGUYWOvuwZYuTVtbW3x8fNRw0NfX\nt8eu5BBCiCuRwLDvkMBQiB6guLiYFStWcOjQIbRaLcHBwdjY2GBra8ugQYOueVqjsG5NTU1qONjS\nPVhdXa12Mbi4uLRZVuzt7d3lE0SFEKInKCsraxMgpqWlXXAfe3t7Ro0apQaIY8aMwc3N7YqPrSiK\nuj9j62EuV/P7S33OZDJhMpnU8xmNRoxGY7sfOy8vj02bNql7/95yyy28+eabREdHd+4fdC9kNBrV\n5cVnz55ts7zYyclJDQf9/PykY18I0adIYNh3SGAohJWqrq4mPT2d7777jvr6epydnVEUhdLSUqKi\norjzzjsZOHCg7DfXy7R0MLTuHNTr9erFnqOjY5vOQW9vb6teWieEENbk7Nmz/PTTT2qAmJqaesEg\nFjs7OwIDA9sV+nWXESNGMHPmTIKDg0lOTmbjxo2UlJS0++ujo6NZtWoVv/nNb7qwyp6trq6uTfdg\n6+XFnp6eajjo5+eHq6urLC8WQvRZEhj2HV0aGGo0mnhFUVJa/f51RVEWaDSahxVF+eu5Y3cDlUC8\noigrOnLsUiQwFD2RyWTi9OnTZGVlkZWVpV4IVFdXk52dTWFhIb/73e94/PHHJSDqIRRFwWQyYTAY\nMBgMGI1GddJzy+3zP6qrq9WLUHt7+ws6B11cXOQiRQghOklFRYUaIO7atYtDhw6pb9BYgo2NDXZ2\ndtja2qofLb93cHBg0qRJTJ06FRsbG3766Sf27t0LcNH7t3zNLbfcwh//+EfZlqIVs9l8wfTiuro6\noO3y4pYuQunaF0KI/yOBYd/RZRucaTSaKcB7QESrww+fC/7++9x94gEURdmq0Wi0Lb9vz7HWQaQQ\nPVV5eTlZWVlkZ2eTk5OjLnUpKiriyJEjZGVlodfrmTdvHuvXr8fLy8vCFfdNZrP5kgHf5T6MRuNl\nLzxtbGxwcHDA3t4eBwcHnJ2d8ff3VwNC2SBdCCG6lre3N7fffju33347AHq9nj179lBWVnbRAK4r\nf29jY9Ou5/y6ujpSU1Oxt7fntttu47rrriMoKEheLy6j9fLilpCwZal3y/LiQYMGqcuLZfWGEEII\n0YWB4blwT3fe4YcURdnS6vfTgB/O3dYBUwDfdh6TwFD0OAaDgZycHDUkrKioAJovWPz8/Pjyyy/Z\nunUrBoMBGxsbZs+ezZ/+9CeCg4MtXHnPpygKTU1NHQ78Wn69HHt7ezX0c3BwwNPTU719qQ97e3vs\n7OzkAk8IIayIp6cnN998s6XLuCwXFxeSkpKIiIggJSWFPXv20L9/f+Li4nB3d7d0eVahtrZW7Rws\nKytDr9e3WV4cGhqqdhBK574QQghxcd09QlV7rvOwZVmxF1De6vO+HTgmhNVTFIXi4mI1IDx16hRm\nsxl7e3vCw8NJTEzEYDCwdOlSvvvuO/Xrfvvb37Js2TKGDBliwep7hpY9hxobGy8a9rX+uFy3n0aj\naRPoOTs7XzH4awkJpRNBCCFEdwsICODGG2/k5MmT6p7H0dHRDBkyBDu77v4R33JaLy9u+aivrwea\n96P08fFhyJAh+Pn54ePjI8uLhRBCiHbq1p8mWu1HOPVccChEr1NXV4dOp1NDwpqaGgD69etHYmIi\nkZGRhISEcOrUKRYvXszmzZvVr73hhht4/fXXSUpKslT5PUZjYyOZmZmcPHmyTRBoZ2fXJtTz8PC4\nIORzdHRsE/g5ODhIt58QQogex8bGhujoaAYOHEhaWhoZGRnk5eURGxvLgAEDeuXrmtFobNM9WF5e\nri4vdnZ2vmB6sbypJ4QQQlydbgsMNRrNw0D5uSXJZwEtzUNMfM7dxevccTpw7PzHfxhg4MCBnV2+\nEJdkNpvJz89XA8L8/Hyg+YdWrVZLZGQkERER6jKh0tJSnn76adauXasudR0+fDh//vOfueWWW3rl\nD/edyWQycfLkSTIzMzEajYSFhTFo0CCcnJyk208IIUSf5OzszPXXX49WqyUlJYV9+/bRr18/4uLi\n8PDwuOTXKYrSoQ+z2dyp9+/I4xkMBsrLy9XlxRqNBk9PT8LCwtSAUJYXCyGEEJ2nOzsMk2nefxCa\nB6G8d+5Yy3QdLbD13O32HlOdm7r8V2iektyZhQtxPr1eT3Z2NtnZ2eh0OhoaGtBoNAQHBzNx4kQi\nIiIICgpqE17V1NSwcuVK3njjDbXrMCQkhFdffZUHHngAW1tbS307PYLZbCY3N5f09HTq6+sJDAwk\nJiZGBsEIIYQQ5/j7+zN16lSys7M5evQo3333HQ4ODpcN4qydRqNBo9Go04tblhf7+vrK5GchhBCi\nC3XllOS7gQSNRnO3oihbFEVJ0Wg0D2s0mnIgu2XKsUajSTi3PLmyo8eE6E51dXX89NNPZGdnU1pa\nCoC7uzuDBw8mMjISrVaLs7PzBV9nNBp5//33eeWVVyguLgbAx8eHRYsW8dhjj+Hk5NSt30dPoygK\nBQUFpKWlUV1dja+vL4mJifj7+1u6NCGEEMLq2NjYEBUVRUhICCdOnMBgMKihm0ajUacxt+fjSvft\nyGNdzf1bPoQQQgjR/TQ94Z3FjkpISFCSk5MtXYboZYxGIytXriQoKIiIiAgiIyPx9/e/5A+yZrOZ\nLVu28MILL5CVlQU0LxmaN28ezz33nHTGtUNpaSlpaWmcPXsWd3d3YmJiCA4OlosHIYQQQgghhLAA\njUbzi6IoCVe+p+jp+s4INSGukb29Pc8880y7lg5v27aNhQsX0hJc29jYMGfOHJYsWUJwcHBXl9rj\n6fV60tLSKCwsxNnZmYSEBMLCwmR/QiGEEEIIIYQQohtIYChEB1wpLDx06BALFy7k+++/V4/ddddd\nLFu2jMGDB3d1eT1ebW0t6enp5ObmYm9vT0xMDFFRUdjZyVOVEEIIIYQQQgjRXeQqXIhOoNPpWLx4\nMZs3b1aP3XDDDaxYsYLExEQLVtYzNDY2kpmZycmTJwGIjo5m8ODBODo6WrgyIYQQQgghhBCi75HA\nUIhrUFJSwtKlS3n33XcxGo0ADB8+nOXLl3PzzTfLXntXYDKZOHnyJJmZmRiNRsLCwhg2bBiurq6W\nLk0IIYQQQgghhOizJDAU4irU1NSwcuVK3njjDWpqagAYOHAgr776KtOnT2/XPod9mdlsJjc3l/T0\ndOrr6wkMDCQmJkYGwQghhBBCCCGEEFZAAkMhOsBgMPD+++/zyiuvUFJSAoCPjw8vvPACjz76KE5O\nThau0LopikJ+fj5HjhyhuroaX19fEhMT8ff3t3RpQgghhBBCCCGEOEcCQyHaQVEUvvzyS5555hmy\ns7MBcHZ2Zt68eTz33HPSGdcOpaWlpKWlcfbsWdzd3Rk7dixBQUGybFsIIYQQQgghhLAyEhgKcQXH\njh1j3rx5/PDDD0DzpOQ5c+awZMkSgoKCLFyd9dPr9aSlpVFYWIizszMJCQmEhYVhY2Nj6dKEEEII\nIYQQQghxERIYCnEJlZWVvPzyy7z99ts0NTUB8Jvf/IaVK1cyePBgC1dn/Wpra0lPTyc3Nxd7e3ti\nYmKIiorCzk6edoQQQgghhBBCCGsmV+5CnKepqYn169ezaNEiSktLAYiKimLVqlXccsstFq7O+jU2\nNpKRkUFWVhYA0dHRDB48GEdHRwtXJoQQQgghhBBCiPaQwFCIVvbs2cOTTz5JSkoKAG5ubixevJi5\nc+dK4HUFJpOJkydPkpmZiclkIjQ0lGHDhuHq6mrp0oQQQgghhBBCCNEBEhgKAeTn57NgwQI++ugj\n9diDDz7I8uXLCQwMtGBl1s9sNpOTk8OxY8eor68nKCiImJgYPD09LV2aEEIIIYQQQgghroIEhqJP\na2xsZOXKlSxbtoza2loAEhISePvtt0lMTLRwddZNURTy8/M5cuQI1dXV+Pr6kpiYiL+/v6VLE0II\nIYQQQgghxDWQwFD0SYqi8O9//5unnnqK7OxsAAICAli+fDkzZsyQCb5XUFpaSlpaGmfPnsXDw4Ox\nY8cSFBSERqOxdGlCCCGEEEIIIYS4RhIYij4nMzOTefPm8d133wFgZ2fHk08+yUsvvSTLaK+gsrKS\nI0eOUFhYiLOzMwkJCYSFhUnAKoQQQgghhBBC9CISGIo+Q6/X88orr7BmzRpMJhMAN910E6tXr2bw\n4MEWrs661dbWcvToUfLy8rC3tycmJoaoqCjs7OQpRAghhBBCCCGE6G3kal/0emazmQ0bNvD8889T\nUlICQEREBKtWreLWW2+VZbSX0djYSEZGBllZWQBER0czePBgmRgthBBCCCGEEEL0YhIYil5t3759\nPPnkkyQnJwPg6urKiy++yPz58yX0ugyTycSJEyc4fvw4JpOJsLAwhg0bhouLi6VLE0IIIYQQQggh\nRBeTwFD0SgUFBSxcuJAPP/xQPfbAAw+wfPlygoODLViZdTObzeTk5JCenk5DQwNBQUHExMTI3o5C\nCCGEEEIIIUQfIoGh6FUaGxtZvXo1S5cupaamBoCRI0eyZs0axowZY+HqrJeiKOTn53PkyBGqq6vx\n9fUlKSkJf39/S5cmhBBCCCGEEEKIbiaBoeg1vv76a+bNm6fut+fv789rr73GrFmzsLW1tXB11quk\npIS0tDTKy8vx8PBg7NixBAUFyd6OQgghhBBCCCFEHyWBoejxjh8/zvz58/n2228BsLOz4/HHH2fJ\nkiV4eXlZuDrrVVlZyZEjRygsLMTZ2ZmEhATCwsKwsbGxdGlCCCGEEEIIIYSwIAkMRY9VVVXFq6++\nyurVqzGZTABMnTqV1atXM3ToUAtXZ70aGho4cuQIOTk52NvbM2LECCIjI7Gzk6cDIYQQQgghhBBC\nSGAoeiCz2cwHH3zAwoULKS4uBkCr1bJy5Upuv/12WUp7CWazmaysLNLT0zGZTAwaNIihQ4fi4OBg\n6dKEEEIIIYQQQghhRSQwFD3Kzz//zJNPPsmBAwcAcHFx4YUXXuCpp57CycnJwtVZr6KiIg4fPkxV\nVRX9+/fnuuuuw8PDw9JlCSGEEEIIIYQQwgpJYCh6hKKiIhYuXMjGjRvVY/fffz+vv/46AwYMsGBl\n1q2mpoZ0t/60AAAQr0lEQVTU1FTy8/Nxc3Nj3LhxBAYGShemEEIIIYQQQgghLkkCQ2HVDAYDb731\nFq+++irV1dUAxMXFsWbNGsaNG2fh6qyX0WgkMzOT48ePY2NjQ0xMDIMGDZJp0UIIIYQQQgghhLii\nLg0MNRpNvKIoKRc5/pyiKCvO3b4bqATiO3pM9G7ffPMN8+fP58SJEwD4+fnx2muvMXv2bAm+LkFR\nFE6dOkVaWhr19fWEhoYSExODi4uLpUsTQgghhBBCCCFED9FlgaFGo5kCvAdEXOT4VGCFRqOJB1AU\nZatGo9G2/L49xy4WRIre4eTJk8yfP5+vv/4aAFtbWx577DH+9Kc/4e3tbeHqrFdFRQWHDh2irKwM\nb29vkpKS8PPzs3RZQgghhBBCCCGE6GG6LDA8F+7prnC3acAP527rgCmAbzuPSWDYy1RXV7N06VJW\nrVqF0WgE4Fe/+hVvvfUWw4YNs3B11quhoYGjR4+i0+lwdHQkISGBsLAwbGxsLF2aEEIIIYQQQggh\neqBu3cPwXGfgVo1Gs+DcIS+gvNVdfDtwTPQSZrOZTZs2sWDBAoqKigAICwtj5cqV3HnnnTKg4xLM\nZjNZWVmkp6djMpmIiopi2LBhODg4WLo0IYQQQgghhBBC9GDdPfTEp5vPJ6zcwYMHeeKJJ/j5558B\ncHZ2ZtGiRTz99NM4OztbuDrrVVxczKFDh6iqqqJfv35cd911eHp6WrosIYQQQgghhBBC9ALdFhi2\ndBeed7iS/wsRvYCz526391jrx38YeBhg4MCBnVS16CrFxcU8//zzrF+/Xj123333sWLFCkJCQixY\nmXWrqakhNTWV/Px8XF1dGTt2LEFBQdKFKYQQQgghhBBCiE7TnR2GWo1Go6U5+PM5N8zkn0BCy+eB\nlkCxvcdUiqL8FfgrQEJCgtLp1YtOYTAYePvtt3nllVeoqqoCIDY2ljVr1jB+/HgLV2e9TCYTmZmZ\nZGZmotFoGD58ONHR0TItWgghhBBCCCGEEJ2uK6ck3w0kaDSauxVF2aIoypZzxx+muUsQRVFSNBpN\nwrnJyZUtk4/be0z0LP/5z3+YN28ex48fB8DX15elS5fy0EMPSfB1CYqicPr0aVJTU6mvr2fgwIGM\nGDECFxcXS5cmhBBCCCGEEEKIXkqjKL2vGS8hIUFJTk62dBmC5sDr2LFjPP/88/z73//+/+3dX4xd\nVb0H8O/uP7UVZtLeVgQLMjXaWFvSodqEJqQkJUYJPmBbU+a83hrjuzz7WOKLj/I8B+zt1aAxGlKu\nPpiYtAWmNcVQoBONGEP/V2xx6NB1HzhzmE7PlBY6c+ac/fkkkzl7r83wIz92h/Vlr72SJIsXL84P\nfvCD/PjHP87KlV5rOZvz58/n6NGjOX36dAYHB7N58+asXr2622UBAABQU1VVvVxK2fLRV9Lr5nvT\nE/rc+fPnc/jw4Rw6dKj9/cyZM+3xRx55JD/96U+zcePGLla5sE1MTOT48eMZHx/PsmXL8uCDD+b+\n++/PokWLul0aAAAAUAMCQz629957L8eOHWsHg4cOHcrrr7/e8dovfvGL+clPfpInnnjCBh2zuHr1\nak6ePJlXX301V65cyZe+9KVs2LAhy5Yt63ZpAAAAQI0IDLkppZSMj49fEw6OjY1lYmLiumsXLVqU\njRs3ZuvWre2v9evXe0/hDZw6dSpjY2O5ePFi1qxZk82bN2dgYKDbZQEAAAA1JDCko3PnzuXIkSPt\ncPDw4cPXLC2ebu3atdeEg8PDw1mxYsU8V9ybLl26lGPHjuWtt97KihUr8tBDD+Wee+7xFCYAAADQ\nNQJD2kuLp8LBQ4cO5Y033uh47R133JGvf/3r2bp1a77xjW9k69at+fznPz/PFfe+ycnJvPbaa+0d\no7/2ta/ly1/+cpYscUsCAAAA3SWdqJmppcXTw8GxsbG899571127ePHi9tLiqXDQ0uJPppSSt956\nK8eOHcvly5ezdu3aPPDAA1m+fHm3SwMAAABIIjDse+fOnbvmvYOHDx/O2bNnO15rafHcunDhQsbG\nxnL69OkMDg5m69atWb16dbfLAgAAALiGwLCPTExMXLO0+PDhwze1tHjqCUJLi+fGxMREjh8/nvHx\n8SxdujTDw8MZGhrKokWLul0aAAAAwHUEhj2qlJKTJ0+2g8GbXVo8fddigdXcunr1asbHx3P8+PFc\nuXIl69aty4YNG/KpT32q26UBAAAAzEpg2CPOnj173a7Fsy0tvvfee69bWuwdefPr1KlTGRsby8WL\nF7NmzZps3rw5AwMD3S4LAAAA4CMJDBeo119/PS+88EI7IHzzzTc7XnfnnXdet2vxXXfdNc/VMuXS\npUv585//nL///e9Zvnx5Hnroodxzzz2pqqrbpQEAAADcFIHhAvL222/n5z//eZrNZo4cOXLd+OLF\ni7Np06brdi22tLj7Jicnc+LEibz22mtJkg0bNuQrX/lKlixxiwEAAAC9RZrRZf/+97/z/PPPp9ls\n5uDBg3n//ffbY3fffXe2bdtmafECVkrJP/7xjxw9ejSXL1/O2rVrs2nTJrtLAwAAAD1LYNgFk5OT\nOXjwYEZHR/P888/n8uXL7bHBwcHs3r07jUYj27Zt8/TgAnbx4sWMjY3l1KlTGRgYyPbt27NmzZpu\nlwUAAADwiQgM50kpJUeOHMno6Gj279+fU6dOtceWLVuWxx9/PI1GI9/61rfsorvATUxM5NVXX83J\nkyezdOnSDA8PZ2hoSLgLAAAA9AWB4Rx7880302w202w288Ybb1wztn379jQajXz3u9/N4OBglyrk\nZl29ejXj4+M5fvx4rly5knXr1mXDhg0CXgAAAKCvCAznwOnTp7N///6Mjo7m0KFD14xt3LgxjUYj\ne/bsydq1a7tUIR/Hu+++m6NHj2bVqlXZvHmzkBcAAADoSwLD2+Ty5cv51a9+ldHR0bzwwgvXbF7y\nhS98IU8++WRGRkayadOmLlbJJ7FixYo8+uijufPOO1NVVbfLAQAAAJgTAsNPYHJyMr///e8zOjqa\nX/7yl7l06VJ7bGBgIDt37kyj0cjDDz/s/XZ9YmBgoNslAAAAAMwpgeEtKqXk5ZdfTrPZzHPPPZe3\n3367PbZ06dI89thjaTQaeeyxx/LpT3+6i5UCAAAAwK0TGN6k8fHxPPvssxkdHc2JEyeuGXv44Ycz\nMjKSnTt3ZuXKlV2qEAAAAAA+OYHhDZw5cyYHDhzI6Oho/vSnP10z9tWvfjWNRiNPPvlk7rvvvi5V\nCAAAAAC3l8BwhnfffTe//vWv02w287vf/S6Tk5Ptsbvvvjt79uxJo9HIAw88YOMLAAAAAPqOwDDJ\n+++/nz/84Q9pNpv5xS9+kXfeeac9dscdd2Tnzp0ZGRnJ9u3bs3jx4i5WCgAAAABzq7aBYSklR48e\nzejoaJ577rn885//bI8tWbIk3/72tzMyMpLHH388n/nMZ7pYKQAAAADMn9oFhn/961/z7LPPptls\n5i9/+cs1Y9u2bUuj0ciuXbuyatWqLlUIAAAAAN1Ti8Dw3LlzOXDgQJrNZv74xz9eM7Z+/fr25iX3\n339/lyoEAAAAgIVhTgPDqqqGSymvTDve0fr4aCnlqda5nUkuJBkupTx9K+du5D//+U9+85vfZHR0\nNL/97W9z5cqV9thdd92VPXv2ZGRkJMPDwzYvAQAAAICWOQsMW+Hgz5Ksm3a8q5Ty/aqqnqqqanjq\n2lLKi1VVDd3KuelB5Ex/+9vf8rnPfS7/+te/2uc++9nP5oknnkij0cgjjzySJUtq8XAlAAAAANyS\nOUvNWuHe+PTjJC+2DodKKa9UVbUvycHWufEkO5KsuslzswaGZ86cSfLB5iXf/OY302g08p3vfCfL\nly+/Lf9sAAAAANCv5v0xu6qqfpTk+63DwSTnpg2vuoVzs1qxYkX27duX3bt3Z/Xq1Z+8aAAAAACo\niXkPDEspT1dVdaCqqpfm6u+xfv36/PCHP5yrHw8AAAAAfWveAsOpdxG23j04nmRvPtjEZGXrksEk\nZ1ufb/bc9J+/t/Uzc++9997m6gEAAACgHubzCcPp7x0cTHIkH7zTcEvr3FA+fMfhzZ5rK6U8k+SZ\nJNmyZUu5nYUDAAAAQF0smqsfXFXVziRbWt+TD8K8odaTgCml/O/UTsetHZQvlFJeudlzc1U3AAAA\nANRZVUr/PYy3ZcuW8tJLc/aKRAAAAIDaqarq5VLKlo++kl43Z08YAgAAAAC9R2AIAAAAALQJDAEA\nAACANoEhAAAAANDWl5ueVFX1TpIT3a6DefdfSc50uwi6Qu/rS+/rS+/rS+/rSd/rS+/rS+8XpvtK\nKau7XQRzb0m3C5gjJ+zaUz9VVb2k7/Wk9/Wl9/Wl9/Wl9/Wk7/Wl9/Wl99BdliQDAAAAAG0CQwAA\nAACgrV8Dw2e6XQBdoe/1pff1pff1pff1pff1pO/1pff1pffQRX256QkAAAAA8PH06xOGAECPq6pq\neMbxzqqqdlRV9aNZrr/hOL2jQ+/3tr72zXL9vqnr5qM+5k6H3t+wt+77/jC971VVDVdVVaqqOtn6\n+lmH693zAHOspwNDE4f6MnGoLxOHejJ5qJ+qqnYkOTDteDhJSikvJrnQIVS44Ti9o0PvdyR5sZTy\nTJKh1vFMe6uqOplkfJ7KZA7M7H3LrL113/eHDn1fWUqpSinrkuxK0um/993zfaDTnM4cHxaOng0M\nTRzqy8Sh9kwc6snkoWZa9/H0Xn4vyYXW5/EkM//s/6hxekSH3g/lw36Ot45n+u9SyrrWX0uP6tD7\n5Ma9dd/3gZl9n9HrLaWUTr/X3fM9rtOczhwfFpaeDQxj4lBnJg71ZuJQQyYPJBlMcm7a8apbHKdH\nlVKeaU0ok2Q4yUsdLhvyxEnfulFv3fd9rBUo/c8sw+753tdpTmeODwtILweGJg41ZeJQeyYONWby\nAPXVepLklVLKKzPHSilPt/5nwapZVh7Qo/S21h4tpVzoNODfi943y5zOHB8WkF4ODKk5E4d60tva\nM3morwtJVrY+DyY5e4vj9L4dpZSnZp5svf9qZ+vwbDqvPKAH3URv3ff9reNyU/d8f7nRnA7orl4O\nDE0cMHGoGRMHYvJQZ/vzYV+HkryYJFVVDd5onP5QVdXeUsrTrc87Wt+nev9SPuz3unReeUBv6thb\n933/q6rqut/j7vm+NX1OZ44PC0gvB4YmDjVm4lBbJg41ZvJQL60AeMtUEDz15EHrz/wL055E+L+P\nGKfHzOx9q6f7Wjukn5926fTe725df1Lve9cs932n3rrv+8jMvk8z833F7vk+02FOZ44PC0hVSul2\nDR9bVVV703pB6tT7D6qqermU8uBs4/S+1i+TA/ng/RUrk+wqpbzYoffn8kHvn+5etdxunXrrvq+H\nVmD4VCnl+9POue8BAHrMDeZ05viwQPR0YAgAAAAA3F69vCQZAAAAALjNBIYAAAAAQJvAEAAAAABo\nExgCAAAAAG0CQwAAAACgbUm3CwAAqJOqqn6WZEuSwSQrk4wnGS+l7OpqYQAA0FKVUrpdAwBA7VRV\ntTfJulLKU92uBQAAprMkGQAAAABoExgCAAAAAG0CQwAAAACgTWAIAAAAALQJDAEAAACANrskAwAA\nAABtnjAEAAAAANoEhgAAAABAm8AQAAAAAGgTGAIAAAAAbQJDAAAAAKBNYAgAAAAAtAkMAQAAAIA2\ngSEAAAAA0Pb/rEqd2aPu9QEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a1550b0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bchmk.plot_compared_series(enrollments, [model1, model2], bchmk.colors, intervals=False)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model\t\t& Order & RMSE\t\t& SMAPE & Theil's U\t\t\\\\ \n",
"HOFTSFTS\t\t& 3\t\t& 426.81\t\t& 0.99\t\t& 0.7\t\\\\ \n",
"HOFTSFTS Diff\t\t& 3\t\t& 970.87\t\t& 2.53\t\t& 1.58\t\\\\ \n",
"\n"
]
}
],
"source": [
"bchmk.print_point_statistics(enrollments, [model1, model2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Residual Analysis"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"ename": "ValueError",
"evalue": "cannot convert float NaN to integer",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m/usr/lib/python3/dist-packages/IPython/core/formatters.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, obj)\u001b[0m\n\u001b[1;32m 305\u001b[0m \u001b[0;32mpass\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 306\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 307\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mprinter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 308\u001b[0m \u001b[0;31m# Finally look for special method names\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 309\u001b[0m \u001b[0mmethod\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_real_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprint_method\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3/dist-packages/IPython/core/pylabtools.py\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(fig)\u001b[0m\n\u001b[1;32m 225\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 226\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;34m'png'\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mformats\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 227\u001b[0;31m \u001b[0mpng_formatter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfor_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mFigure\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mprint_figure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'png'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 228\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;34m'retina'\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mformats\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0;34m'png2x'\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mformats\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 229\u001b[0m \u001b[0mpng_formatter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfor_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mFigure\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mretina_figure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/artist.py\u001b[0m in \u001b[0;36mdraw_wrapper\u001b[0;34m(artist, renderer, *args, **kwargs)\u001b[0m\n\u001b[1;32m 53\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_filter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 54\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 55\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mdraw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0martist\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 56\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0martist\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_agg_filter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36mdraw\u001b[0;34m(self, renderer, inframe)\u001b[0m\n\u001b[1;32m 2435\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstop_rasterizing\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2436\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2437\u001b[0;31m \u001b[0mmimage\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_draw_list_compositing_images\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrenderer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0martists\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2438\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2439\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose_group\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'axes'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/image.py\u001b[0m in \u001b[0;36m_draw_list_compositing_images\u001b[0;34m(renderer, parent, artists, suppress_composite)\u001b[0m\n\u001b[1;32m 136\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mnot_composite\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhas_images\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 137\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0ma\u001b[0m \u001b[0;32min\u001b[0m \u001b[0martists\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 138\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdraw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrenderer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 139\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 140\u001b[0m \u001b[0;31m# Composite any adjacent images together\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/artist.py\u001b[0m in \u001b[0;36mdraw_wrapper\u001b[0;34m(artist, renderer, *args, **kwargs)\u001b[0m\n\u001b[1;32m 53\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_filter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 54\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 55\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mdraw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0martist\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 56\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0martist\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_agg_filter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mdraw\u001b[0;34m(self, renderer, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1131\u001b[0m \u001b[0mrenderer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen_group\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m__name__\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1132\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1133\u001b[0;31m \u001b[0mticks_to_draw\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_update_ticks\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrenderer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1134\u001b[0m ticklabelBoxes, ticklabelBoxes2 = self._get_tick_bboxes(ticks_to_draw,\n\u001b[1;32m 1135\u001b[0m renderer)\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36m_update_ticks\u001b[0;34m(self, renderer)\u001b[0m\n\u001b[1;32m 972\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 973\u001b[0m \u001b[0minterval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_view_interval\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 974\u001b[0;31m \u001b[0mtick_tups\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miter_ticks\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 975\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_smart_bounds\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mtick_tups\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 976\u001b[0m \u001b[0;31m# handle inverted limits\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36miter_ticks\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 915\u001b[0m \u001b[0mIterate\u001b[0m \u001b[0mthrough\u001b[0m \u001b[0mall\u001b[0m \u001b[0mof\u001b[0m \u001b[0mthe\u001b[0m \u001b[0mmajor\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mminor\u001b[0m \u001b[0mticks\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 916\u001b[0m \"\"\"\n\u001b[0;32m--> 917\u001b[0;31m \u001b[0mmajorLocs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmajor\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlocator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 918\u001b[0m \u001b[0mmajorTicks\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_major_ticks\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmajorLocs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 919\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmajor\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformatter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_locs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmajorLocs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/ticker.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 1951\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__call__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1952\u001b[0m \u001b[0mvmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmax\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_view_interval\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1953\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtick_values\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmax\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1954\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1955\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mtick_values\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmax\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/ticker.py\u001b[0m in \u001b[0;36mtick_values\u001b[0;34m(self, vmin, vmax)\u001b[0m\n\u001b[1;32m 1959\u001b[0m vmin, vmax = mtransforms.nonsingular(\n\u001b[1;32m 1960\u001b[0m vmin, vmax, expander=1e-13, tiny=1e-14)\n\u001b[0;32m-> 1961\u001b[0;31m \u001b[0mlocs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_raw_ticks\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmax\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1962\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1963\u001b[0m \u001b[0mprune\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_prune\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/ticker.py\u001b[0m in \u001b[0;36m_raw_ticks\u001b[0;34m(self, vmin, vmax)\u001b[0m\n\u001b[1;32m 1901\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_nbins\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'auto'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1902\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxis\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1903\u001b[0;31m nbins = np.clip(self.axis.get_tick_space(),\n\u001b[0m\u001b[1;32m 1904\u001b[0m max(1, self._min_n_ticks - 1), 9)\n\u001b[1;32m 1905\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mget_tick_space\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 2060\u001b[0m \u001b[0msize\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_size\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2061\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0msize\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2062\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfloor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlength\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0msize\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2063\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2064\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m31\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: cannot convert float NaN to integer"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a151d6f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.benchmarks import ResidualAnalysis as ra\n",
"\n",
"ra.plot_residuals(enrollments, [model1, model2])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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