Skip to content

Instantly share code, notes, and snippets.

@EteimZ
Created October 25, 2022 15:26
Show Gist options
  • Select an option

  • Save EteimZ/5b9ff6c464bf1f36aebcfa4386610255 to your computer and use it in GitHub Desktop.

Select an option

Save EteimZ/5b9ff6c464bf1f36aebcfa4386610255 to your computer and use it in GitHub Desktop.
Animating a sine wave with matplotlib
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"id": "65eef8df-53a1-41a3-9d08-581518ea56c0",
"metadata": {},
"source": [
"# Animating a sine wave\n",
"\n",
"A sine wave can be animated with matplotlib by constantly rendering its percentage offset."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "bf8c0fc0-5c13-462d-937d-ea70d0679c56",
"metadata": {},
"outputs": [],
"source": [
"from matplotlib.animation import FuncAnimation\n",
"from matplotlib import pyplot as plt\n",
"\n",
"import numpy as np\n",
"from IPython import display"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "cbb11121-db1d-48ec-83fb-3e0ac756eaf9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f5e5fc6a7f0>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2*np.pi, 100)\n",
"y = np.sin(x + 2*np.pi)\n",
"y_off = np.sin(x + 2*np.pi * 75/100)\n",
"plt.plot(x, y, label=\"Sine wave\")\n",
"plt.plot(x, y_off, label=\"Sine wave with offset\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3304f629-4da4-481d-b8b9-e1c2789dfe21",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<video width=\"640\" height=\"480\" controls autoplay loop>\n",
" <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAHHG21kYXQAAAKfBgX//5vcRem9\n",
"5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTU3IC0gSC4yNjQvTVBFRy00IEFWQyBjb2RlYyAtIENv\n",
"cHlsZWZ0IDIwMDMtMjAxOCAtIGh0dHA6Ly93d3cudmlkZW9sYW4ub3JnL3gyNjQuaHRtbCAtIG9w\n",
"dGlvbnM6IGNhYmFjPTEgcmVmPTMgZGVibG9jaz0xOjA6MCBhbmFseXNlPTB4MzoweDExMyBtZT1o\n",
"ZXggc3VibWU9NyBwc3k9MSBwc3lfcmQ9MS4wMDowLjAwIG1peGVkX3JlZj0xIG1lX3JhbmdlPTE2\n",
"IGNocm9tYV9tZT0xIHRyZWxsaXM9MSA4eDhkY3Q9MSBjcW09MCBkZWFkem9uZT0yMSwxMSBmYXN0\n",
"X3Bza2lwPTEgY2hyb21hX3FwX29mZnNldD0tMiB0aHJlYWRzPTYgbG9va2FoZWFkX3RocmVhZHM9\n",
"MSBzbGljZWRfdGhyZWFkcz0wIG5yPTAgZGVjaW1hdGU9MSBpbnRlcmxhY2VkPTAgYmx1cmF5X2Nv\n",
"bXBhdD0wIGNvbnN0cmFpbmVkX2ludHJhPTAgYmZyYW1lcz0zIGJfcHlyYW1pZD0yIGJfYWRhcHQ9\n",
"MSBiX2JpYXM9MCBkaXJlY3Q9MSB3ZWlnaHRiPTEgb3Blbl9nb3A9MCB3ZWlnaHRwPTIga2V5aW50\n",
"PTI1MCBrZXlpbnRfbWluPTUgc2NlbmVjdXQ9NDAgaW50cmFfcmVmcmVzaD0wIHJjX2xvb2thaGVh\n",
"ZD00MCByYz1jcmYgbWJ0cmVlPTEgY3JmPTIzLjAgcWNvbXA9MC42MCBxcG1pbj0wIHFwbWF4PTY5\n",
"IHFwc3RlcD00IGlwX3JhdGlvPTEuNDAgYXE9MToxLjAwAIAAADOOZYiEABT//vfHT8Cm6Plmy51F\n",
"PSEwitj6SCi9WOzQMnUAAAMAAAMAAAMBFAvtFYF5kQFdeAAABkwA3Gh+45uP4+YBOnyeNxenM0tx\n",
"cUWxBGWubITA37gCjBXtkzQ1u84r909Ou0zyhae384OK0LcHf3pCFCV7x/g7o4t9LnwXqXRedvxW\n",
"fkVQHJQBF2aKrMA+iHmn1IO5yQdRWQFmWBpWIlPtJAtOD43BTef4HRVo/yPFZUkkQf1X48UHWQDm\n",
"qtYvegSF64AmwCjnYbdt3mOyLEFHrf4iusTcRLcydf3UxBEs5bSMqf8+bqwi12nzioSxdnfRMZYG\n",
"b2E2XBt1sxA6GRoyaOXn32UYPyMrM835FEmSrGEdnTllbbCICuPWHl35KTXHZvlqjSdurflM3xE1\n",
"QUA1H0+yWX5bAN2RC6uJgceFN+k8uI7lthp9SuIB1dBaTwXhzFeTVUGyEEGgltnHzL/vg4/WBIyE\n",
"ZVtjHnd+UAuQ9RNnPDrKhdJEizdjJzaG5Qh/tFTZ4dhd/gegsFJ9e08So/fuh9VOf65FOCuEBYnr\n",
"EYnVL6rriMfh9IFCG0w6yhO2IQ3LOyJSmqSyB79m6sj/25ZjpS2FVn7wDoIxQNBi8npiiDoLhS/j\n",
"yJYRgS5aQhQFvMWtuaIKSRXqc6JkkOcJ1a52VTeFk88OAff8fjRrSSlLEEf9sXTPQZWWbmF3BRJB\n",
"eYMcrqx5tVfBTM7IwIYpxUepjaKrRH+y1MkL5x34CYWGeV72dV85RRCfs8e+IcTqA+PNi44a+4+A\n",
"5Hb21r+vqk7P9G0Erh5ln3oogmpOkLZFFXAMmenG/1PHR+LfV9QmOBY9GLSV1beQO8/ZLTHpovSh\n",
"3+79uXiXVXL38OIQbCbi9weHD2Tg7kjXZqCnjWJ2pJ6/Q69enqvn7AjunqLsCrEVg2QJ7CfybeZ6\n",
"kU0GZbk96xhzoxwsOr/NUYyQMJYmVynmYOFUE0hURyIUIw/IZbUePuD5TvOX/VbhUpZCIdDu0jNL\n",
"SrlCoyY2qO+dv1Hv+1jp9HGmFbuaR5NLP4ToCe0mtXTFW9ZCGloZLBRwXhjRuCQu6k9/n/a/wara\n",
"8wVpE+uZVO5DsLuDfgM0fjj7lujEw+UlXy1F0I/wsY68MTYM734jb1USNk2ZjO6vnuaTAB8onuno\n",
"scvWwhieQudjR1CO3j1QzPNjGQ7CkOdT6hl0cvqE+DYlQE1ZUR+sNAN0xwTWf8CS1qIraSsxQhyR\n",
"6NMsBUHQqsli8QpD/mYSkIsiy+zBuWLMARg/XMDDYvdps+fl9ch98v6hj168Pu3EmwMOx/mrUJHw\n",
"UJ30X3CGW7E1fGeAm4XsU5/4raKIxwlsItJdL6n8bEutlyLFxwprlY6BsdwFjgiXbB6PMFybdtw2\n",
"7I5Jijr4VXQPESDfHqVoW6WH70vaG2OFLi7KZEfh182VkizK4280W+99OPFJ9+A9AJ1FJS/RWI96\n",
"ma6TdAl8jHiTgSKgFuLfDmsWy6EIJ/CNfkUIoEzG3mQ+BU6Ktpxz9vPUmuWEikQ7AGCCgUq75EsA\n",
"NZkn3kLT3jT95y1qCLSoGoWlyfoHlAP2R1NJ/+8trtMZLhVGuc75aVp3Lhg/1gLqI51f0jLkBsya\n",
"Bg2jGDM7DXAAZQWqJXM0xMj/14KSuIkufM7EOpC+Y2VzL1OrmiIZiy2kNDmY0Bqsf448BtJUaoG1\n",
"wi3xCRp1QAh56RQ75IGFKSVRcw/oSFjBDn5hvd5e/2PolrpXWnBOCQfT4R6tkgjlikbA9LXt+q4g\n",
"r8/1v1kBPCgSKdza9T150gw8gDAjnHXyzgBijwqCNsMhJvEbB2kbQn62T4jc5UyY6Ab2O0rhL8y3\n",
"kC+gfYW3VpaU/yiliCWB8Ky01KB+FDW97hW19Q7NzoUR+0nNiu5ROfXpbf436aZzE7ilFZRE+xTT\n",
"6XoxwpYd9iDbb3332/FZVcpXWaabS+SfAv0gvKQIjX4axo9mW2/II0HBZyidQN0LsgJcgzCGkIb2\n",
"b7F7IFjT4XBHEZaZnlhiIDsFNjEtO2rdowCtA3+P6hIXJMB9p3yU8bv7Mt6ecR+dd3FGnm4IKYL9\n",
"VqQyv8iqKvtpqooA7ZDBl+u5M3qXuKNoXmzYpsubOPcFVP4PUuvhIhU9Nit5Lfu8bhYHaNVu8/dn\n",
"LS/zJcPBJ9e26uv+lRuAZk7a0DBwIOh0uFIVS9AsbTl2y3a1zeG1ryC3xzQe4DQhSSRGy3lGj2mr\n",
"PLom1Iah3hx5aeSf1mGXiWBWq0bS1y9SJxdOrPgj8d7WS6uUsICrqYa4jQ6RH1oaqeSVpnbqrQh3\n",
"oAK84jvNu1u9N16i65w0QKuTZ4kM4aXFOxYANHjjx7+Nzc1zALVQVkRYlQ4wvJ/1KMOUv1ErZ1Wp\n",
"EpiPQR4qtHMqQ+LvnBNVQVOHXh3RIsme8vk9jKrQ2n+hExEaN549WZYOKSzbhebQTC2u38uylsua\n",
"lvHNqziCVDY0Seafn4KQUWvE+Av5jnmsZ8F2ag8uBusxBalFXobkcq9Vb2zsXPEdw0EM003PHMIY\n",
"XxyeLRs9cjmPtIuYJdI0TP0G/wbsMWEC+R//58w3bhZ/3S0WhAdKcG0MqtklweMkiaPz/KmMW8il\n",
"prffq/OFG8AC4nwSBubj1px5xWWXbjG2GwXCobVP5UIKMsSw5dTMNBJVJryB+5mElIrTgOGiGjy6\n",
"iL9Wz2BPFkIOKEjP4y0euOuo4rgdO2JlhYAFhjQIU5pbiofbS4sSMRsJzgWKrS9iJD0VcDoc++qa\n",
"++epkqiTKetiI93swt8rvMKvjtG8EzVhGdglzZQTJ6FOgbl04vK1b50DdLOjkcihu72YYx9dou8Y\n",
"UU4d/7gCQEPLSVJ9Hhhmnqgfo6jBAB8j2TybW2MKKMoATrMyRtu8E+OLiVP62E5KUWy4eCGn/qtE\n",
"2oqVPe2aE9fuQPAtzi3QxfdkK4bV25A4wCiJ5xYhXSg4ExK26oSZD3vxgqAdTBAxmtzxz2REIXPv\n",
"vKT/uW69sU1lpDN6NHE5aHVCNsJogthiiF6Tr+epFZzxF9EEmB+SwxuswvPibHX6HgEvqKsKyC1T\n",
"8d9IelJsD8E0gVdKPkzXOr1Ddyeh4ISwJEs+AXkBM5UnxuMQu2AqPO82FtkpvcmeqPV6owaKB6Bd\n",
"5R6ARYx2GndkX0KYYgZdjJbtXRb/VbA+WKD0atPH94T+mRhf/kfv/W6mZ65q6n1c73fXUxPP+Ltr\n",
"+REcz4Wmn+b/KAAWmdZBmNHnHSrvz+xiZudFGzpW59NWC6C2gNBUZnBIuEeAPq4t0Buns9S3cw0Y\n",
"uC7fzf7nXfHtoTnMtHQNQ/+oSGhsXDRdSmCibTYrh8Vl3Js0beMhzrA9UPkplhoa/NoGFM7l7rSi\n",
"uAHE6y3S0zJrs7DGRCnTcEh+cuITxppFl+f7R9k80NG8dVCVSWNOwMBhfvRyoCgHKxmQnmEkI7CG\n",
"1JQzijTCCCt1zEbzDm5RtTo8pDoCik3GRMh9WfIRNADtq2tW1L40bP86NUUxl72rifrh9DnSQdt2\n",
"c1WWcT27KRvCLCIHDHrDSkaGDR4bx2paW7BQIXy+dACdb8VweVEYyGj/MucCqj3xDirLe4ogJ2xq\n",
"uvZ8dHNtQxj200GLJ08Dx1tDuo+w2rLwNScn7FIMPHBXZ5MdwoKUPcd/thqyRRiyCctZsQ0Hsck9\n",
"XlOK8PdA05+yhFEZ+PG/8M7aaZzgFGxFdMQVoqoSt5IcFiHcH0Tu/Xa4/scZBIkj7mWkzHUEDxTf\n",
"cOUFIkHgpqATgHepNrctYjfiFbr/dVXMZw8i3S6vXHkcAp3ZpE3d4Cd1/+UsEHRXa5OmB/dC7uu6\n",
"wphnihpKVAuaNX0CrNl7TDyRcOB99lDgZQ2cJqHUhRg1kV7sqkQiMhzXmzJ3N/C9ju0GL9Y1ft6L\n",
"dNyniLUM1OJLtW8uwXBikqCs2OH6M8FkPyJ2rYnXO6Ube1xH3+W0jfCdba8ru3NrG3NPHzX1iNxw\n",
"bN9gAJDZ2+QHWMGnzxBkgiXpEcXzQQiUalrjMVvRKPYriK1aljlYZcy7dpU29imbE/hMfQvGZr4G\n",
"jLuaVswKfnzeGf+n4kisAm7K/Sck80GbeSAeHoFxfmn7JPMuCnq1DhyriD1ZhESB6PKjW8cXI8LR\n",
"70re7RIriBzwpY2Hc0YLk72AgfS15W5OjF1LBikVeblaF9pblP6Egmt2gfxg5rPKMxxhKQapy2Co\n",
"Irpr3yNihyb7iLsxnypfX0wRADxj3ZvBtWoz7o/lry2TrOLAl87NxAf2TvcTrRuHQYYgvDQkkW7k\n",
"MlqSYI+p6H3Iiyu1iCthyRyepYFGCDyKQPmHlpz45HbUTGAU6mTowbhcln5jOKbUI+vNrsp8JTNv\n",
"IYWk+9XHzoSVm5M5zQyZfUu8NjUmZyehfi8fs8Y7ZmgvxoPKZA+npPjStJEFLukeWKZ65a3anjkS\n",
"2v4BIne8LfSw31FuUGvicAtcPM0guA9tdDoiVXYanqOgU7csqTCImfd/TX4NBhPq064LE/6k2OPc\n",
"dfA/RKcVTm1sP8c66Nbd8JExTRwiwZ6Z2IzP9orwZZ08Jy4+fwWOH9Qj1QUcGANLrnJfKGxIhaEP\n",
"D6XMgAeuBmFaJUeZlfSziPUSdoMM44dDgY3/4sEND34T2djTL1Jb/7x2ZcCASNdD/ow5gdeW7+/Y\n",
"u7uARFCRF7y2PDOGCOWlfpP63F8qWjgfPwmLAFT7Toip/kaGV/Hn6LastPJO6KYIAS/BhGiVS9Ew\n",
"zoInkLLKDL661yGgIvxEtw38TO2b2vofHmtVohn1kVx9biQLbupaIJXTi4gmmot1pmyHlemRhxjT\n",
"f/b48C+ZagE0FagegCThGQHv+4NMOmR/pr2o4ha57S+G2EKiEXnS620lKI90CbHmBeTpteJA6fDQ\n",
"vLhsI1Nt/viMCA4i5Nqugx9QJihdH/6d5bAb6rhZfAcv695tUu5XqKEVy2X5uN82lkLZwBd94Jbp\n",
"4kpiKfIJ95oAsJPE5o9De2hefdlET3CaX0z61Rv/YGfXYnqNqwnaVNA3RsSOwJtLUjYJFQBrw+Sx\n",
"rtipT48zvzGmFzRLpah0x4fFgeQgPDycUxcRP0BT2ljAjVke7IPDWBL8u67GfnPAB7CLf/WMX0PV\n",
"55sRrAYNj4MhLxM6CyBNR5A59vPIB2IL/FHS1OEeF4ZjcyJRsJvPgk1aLMC+1JLdAeZFJc71RztX\n",
"9glq+RJaPBQFcZkn8Z3+HdHN+aJICNue3jXRqavyU1RpIIlKtS4memtb9LDW1G9VJhj6IFmpSGDw\n",
"SVh4J8svq8Y24OX4ocGdiWRkeKPSledI3xz4ovywPx9sxKn2MFvrmgQIE7yhITGNUbcuXvTfDL54\n",
"7W7EDeVxDPD+2ctSlO9A9MABlruAYtdQxqhMFt9bndbbc/6YEnTfL+btqaZ0CJR5aWJltFJ4WjcF\n",
"Tm3ade+KQpbhJwnheeCGQiO0R1uk6mVe8bZGC4R84w/Wowu3hEZxYX22BdsHNv6s92uNwL+p6A0X\n",
"jDC8LQcoRmU6uY4NOxUnrq2e7yoUhDMUCN0OQ50m1PtVIY85/TMlCiGZHNyQ6JyiqPtw4+AokKj3\n",
"/OEW+cRtHR3xa8t5NjAYbKqKOEQjStOp7ysZSzZ2+swrRn+bN1M+s9mUQks0HeTKGNQecCSi3hFj\n",
"3rD9mF/YI80oJ4Cz1nGsd2YVgRQ4HHS+S254lkow1rDkfl51MaB8x7/VyImwnT7KaJ2Czy4p/sa+\n",
"F5yP8EjXJiy78IyKUQ6X6Vg1HZXFgu/YSskoGL2A2nr670q7LGgEUuJdv7RaEe8Tn1OvqjiXrdbv\n",
"Ahyg8/7MZ2tW8cWRS4CgBCOE2c0jpDaINn6p2YMr/7nScpP7m0zsfBvL/lv423w0X+kTheN8JFJW\n",
"APr+PsIP1j9WdPwdlTDP8LlTIWVvu6kZwRSFrW52e9QRKpFRuEVkjUf9q9P5Fvk9P50fcFfMgm5+\n",
"V9/ho21mDek9UgBqU3dfeXHUthI07Igv2EMVqFDBgEteJR74MdH17DUj8UTVQombWNGQAhyeoneR\n",
"p3sEoUmBnpwKMT3g9grATpT9C7Z3FdpTL2Uz+Ac7hdpTHp1SzPjjThxSYDOjRPIFh75nvmI6/CRz\n",
"sxuF2bDnTYGCQR0pYZI8iwwYeqYA+b34DE2ExTYBmHjBgQykGhKGgpJryB94GhDmnMxr7tACDrdg\n",
"QU84NG2n4wE19xp1QNuk5crqz1Zp6evibsPRm1/ThRZVowc0DayhcDHBd5zSPzijDgn/iX4kyq2E\n",
"2R8GLuvqpilgOKDPdktWb1t+qWQMjtQgZ8TQaQ3euNeXIT6Vpv/EES6radIsG/5SkI5dmjlrBzLs\n",
"8e7c5teSbpzi0bhQdtHCz/VdKyaByEi60rSx4ROherPsqXDOcKF/+JVTDcqY+r3SOnR3qvV96sb5\n",
"qwKP51F9KOayodIji2/lxnvE8wnQZqNdQJ3u2Jv+9i5UhcGUvEUk8XTcIMDto3g5slvEz153ZS/l\n",
"AE/NMuZNj11N8CuLmu4XwJWYnnoyGJReMasCLRrzeQES4O2Ld+Ql8tGPcZLRxxxGbZcvUHEImOa9\n",
"a/A7GBvTa+I+21ux1oyBIcMpLxTsd6OTJcKjUNvDHOGZ2gIzudAj6JVB12MLBBAtoSzL9Via+F20\n",
"49ov0R18217q8Q46grtZ0vxs8m1TkM8DuGLwDrt1uQcUoLpJroXP6H8C6Rv713dwWsb9Ojc+mjLT\n",
"6OVDt+6E+pAPA5TtmGDdR+xLv70mi8oXYLSUUzDM6L3gwsU8zn6HHdq9RZjKTXIYdV85v+jlaYvC\n",
"R5covi5YkW4BBuoEmVemdDhpCBXT7G+9jJ+fyGcexFr5iVce88jcwRUfF5efLbF2hxiSrJVJ8P1+\n",
"+kB3IDyMKpkAye3Viqx2us12QAAwoMM4OT/NYveoIyL/hb0tfYEq3cKtHrgH/Zp+WIzIexRJS0/9\n",
"5Pmd1cRJqASYAwdBARUCyISA0EGzUe/J7TBvRCnes3EDwF7q8lNGDqCoSh1gSa15EBL7evkQSbtV\n",
"D5prN3XIGOaH4eonCMQMOc4y2FMO8jPZ/Fk4e8qUZ22GQIjRpfG/gli9NraV6Tj6b0/ds0ptcDF9\n",
"NTyQZKTma4b+SLpzUWtsuSiaO4uitN/P1Ac8lQlD1r2s78oXJ22t/EHhNccrEP7AdZVBgC++UsmE\n",
"nsPWJOVKo0SuZBHtGtpYOc233IiuDRmv0OPPizk42m3XR7B93FoQX4ymPQjZ224zis79ML9S92l4\n",
"sp7YzR+jBoOnvk4F0iPXn5zu6kkGwx5Fc5k51Gt8y7g9tiwcwNXWztSjdiX4uuiyfF2HoyV/PeB0\n",
"aY4Meoonep36jRyFFFGNRXCIdW7qOKo/YitYuDGjDDZhY8+IGkbooqX1hQhKJgDnJIupb/B/TNGb\n",
"E/iJmJEL9tcqOMho803+EWiieej0xhQMpOfM1aRsF9TMI25wA2zBJYtT4DdEmdDp97OL0HzYGNdV\n",
"EKFv7qfksx1+gIH7ZDGUIOBzOiXtTA/Qx0LESjWgomMFGE7lAMyISNOgWGZ4vrxIf6xUpVrwJLht\n",
"77QzGDCbjSX5A82sLLIYhNGttMfc5mJK/YiQHkrYzHXFFsM11gKGhN0hAnvrhUuVsxita/3MZhQM\n",
"i4ViOAQZBnLwL4vvz+VkcMX5IppuOLdxiQmyQn7UXp82hymXvJ2HQF8kBjRDqLCWoWM5zeWxKUhl\n",
"IYEUKGF7uPsFtx270rvhkIlsQFAU5yVC8y7/Y1Qfs0tDTiSOZqWN1/cOqTBwf17YZT1FyS6JGuSb\n",
"MiK5AlXYURsedG6oNeD5THVlbpCU6rewFGj5neU8FGJgWPGwjutUAEeAPQzf/cEjSLw4sjhiKdw+\n",
"bdFTusxgm+/wGOq9SevgNs59h+fRZXd+7I4Kw0vgNodZgPNB6XGjhIVN2TwKnmQg2GayaDxYpE1K\n",
"PUV4u+Ryup89qmCMk0N1JC538Jv8aucbfmaoamh02FDHlE0VbkgoZj/GahNq6P0DjnPobTRSrSo7\n",
"dxNbvrDdpUY6tEJ5oIkJow5WO6olg3La9Z40NvSmB8VEWUHTizHxtFjgni4KBVbgPyWPStPteYmX\n",
"/rFRmbmsI23L5XLCZPGKz2XorRdSUrKN2eimERAVGuvTQ1/q7nWTDfBj4LRqaFkKXbtsfZrv+9ZP\n",
"vPQXjmYK+hf3wYvZvrkT/2bLW5OekYrP5+PLhjaijBUxp2GPBxmLwBL/aZrmWvRpBdMf1umjEvYa\n",
"P2Y+cJnTQMWBHmGpHCKp0D53vmqUU7Fa5tFuCv6vt2W9G4pEqD0FrOv53WmWctMycL5FTEh+WAwW\n",
"dlWOD1S1lDAQStv/IVyE7Il9OpttBfL8oBbhWjE6w7CVlyQfEEHiifV0zYxoZS6OTfRWnaYwyPfZ\n",
"8hdLenqCiiQPkpjSLONt9ZYYTbB4CaVozNnzOs+SRLFQ9ZdK4pvRHKg+StIx4+zJyoEyiWpu4KY6\n",
"7Qo+XkNiEe4NcYiUGG0uTGt7QkFJZJkVM/a3Z+VOg+GVGjibpKPjccIwpnjUlzPemaG/gPijSkmI\n",
"shH3jJlz/n23CA2PrNw2y4p7IIhResJto/YtZQJBcX3oFHykf7lCVQlozYDBT0cD0hbg/mRrT5Iu\n",
"jISw4U/e09hBO91m5ajz9LAdJIO5feN3FQfv9fLtAbgXfyK6QLnH4h3MV+ujta3bf8Xe2ZxCGUDc\n",
"O6ynLfqyn+bB90+AVsqCM2LrsbAaqb8j28U6Asm5EuzPlS7gPBazvb4GZt50U2hRxeDHsk/DQxee\n",
"CeX/pZkipNqtgZDyR/cYF7gb5ycvgdpjnbrV6Z/HCxnakyskaepAl4fsLuax8U6u/dn8EbeldXTs\n",
"LDG3IVvKvoPj0Y7IeeFah5ewValM/n6tn8y8jzJSLMHyyacaiOvv6GjyNvyCtgJhNu9c85waCHm5\n",
"h5x+AXL0VrLkLqor/rTGdF5E/eIdWICuZ+Ydyz6V1J835iqKkbyOiArSEh0Tk6qnHOOsfH/jzprA\n",
"uYGDpE5LqObhTZikIluG0awtdXwMB6Vv6wMsZ6CsUXzuMdqFeQ/cQnnZqXwpwX4Z79BQTNMCW8+7\n",
"FFMRJjcPOXgJKQa9JoEpb7riQa3XNpINrCFFDOSU9uED7xVXZU1mWH81FZ+wNd3a+2rsw/CS2dnI\n",
"+nNmJ8uuQzbCC3/OoifB8skGHIbk7Ehj0MaR3RnpQ3/VYqnizMCn6CHXS0qEUwo9aOBgYGoHAqBh\n",
"8DMnmFLk3Q3EpZIULRi1Cc0u8Yn4RzsEez81+eL2kPV0GufiO4s4uqPAIBqaR9PNuUUqNh72i/u1\n",
"e4a/FDg+NtFgAHafR25gS+kcx9fWqNw7eMSV9FVeaQxYGJboT/XhFil978vmltWEZMagtlLEKidw\n",
"5qF9EdDwMfil/IQbZ8V62Yv98fO4O3ErgbsYMQ7qdgnvX56MuV3Nqamfe+QI84/QmvK+dujJrCQG\n",
"ZEsZi95Pnc+PpP0hkxdQ5W1LrdtHJ0FREuxt9T19JrHaafnfLHlhfAiyEeXUV+Ag9HjLHb6BFeAo\n",
"RzM6Axy5OJWzJ30Sv+wBjYn4g8rtE20Fgs/DvavbgpAAmciNldTsK95WSey2RuF244P6esMOYBuu\n",
"dhI+WKCM0nNrxI67rgYWT6LplEY/i7vx9SSlCd0L3uRFyqSPq7oE4bZr7vVYklCxBoc/m5dI0XrJ\n",
"x6hStjKqkapyh3FHWpF0PYOKcd+EfYtHzvX2+45KAnl1RpStjNS44Ps6CzoVfu0G0pjF8aXaqkac\n",
"D6mril268kEcCwHDiCk4gHZZb+YXoB4ewkctk9+JKc7mwgp75bPZ9Z5TKVg58MaWfbwUgdOZ+yVm\n",
"7XJ3Ooi6qKRoQfkeodpaxcMOM3MzQvygx6gAp9Ag3lT9QRhCEN4CTsFkchId98hcI1dhsys0WSF1\n",
"qi9/5Mt+/llcZD13+h6uLllBs/Y1A7xb0qPpmR97qNy5Gc/66fzf+L4Jl2ByKiGHm7XJa+XoPoGO\n",
"SgpVmsSapECnIg9UxkgIDKHECAbF0p2dmBx/cwY1kSit8jgYbVzi0jqxoclwEPKmSmmLnveENnO8\n",
"9EaZsEUvGIhrrL+/ugdwhHe9sY3apUufIVlAez3yoVwLNJaXBIJ8CPEYtkM/X316TyiEQtIXulfF\n",
"31SSsC9UMKO9RuYKVWxL6ZbywQGBh4m1d1cORcy9ADQyV4GemXf0b5Mb7QNfl6eyFKcv+V2b4K6c\n",
"qiMLuRqwpXcpmxCB+XFgOldCDUaMJn+Ym/oPuEcwzAvNlpwnvVHtGmLHfw8I9PIB7jKTKZDZ7kMg\n",
"yD82jgohBZRw6ii2vJMXgCibHt9mMVGq8cdq8rSniuSnLLw4z5aMGF+wIUDichevwz6FNwpNgG6B\n",
"NGihU0lhepv7Hxtqn3g96T7AiDxinIyXMBV4oo4PtNjBVc2wm1eLk2AHVlYZ7rVmDJZsVp9ygqSg\n",
"snsOjbewW0DH4us5myJu58wempsDFnNZB9OZXWPozQYa5UqMNw8HWqtNcvK8Demv/Ol2UaDtrA0T\n",
"MuzWAKEmmy45KMiGcToHUQe1AZtHXmXH74M6W9sGrzEJs7C9rZOPxOqphFgt+w5iTaAT+jQnyx9z\n",
"lVIx8hKdj8xyMQnEe8tX58edvE0/70Rn1wLX+ra/VI+9Ac7spDt7nvO26Y39ARQX0bn/Tlu9JRgM\n",
"SUR+1bHi2Png/GkdUb6LfuH19i+HIyd5dBvi6ZLtz/9XCn/l4s9lqK4StVMZTqHMV2C3v556DW2P\n",
"8tUiTIdd7JTPIoA3DkYyvycdH7BL34RgKAf0f6OJOqgfyyYHMZhvwN0WsFqWJi6NqD9LSrvDwPF3\n",
"txRnsptAYhQrtMrkUUqhKeqQqW/FPLvxn7zkMkUY8oS6YEu3gWwhR31l2AeB7szPozP0HOoQygUW\n",
"+MNdg4ATUP7JLhausL4aPKoYE7MmXQVjayEG1TffLePoBjx7thPLfzWBu2KVXZxP83hhr24dzXYe\n",
"BfWDahwjhpaDUZYLRD5vaO1MEBTO3PxhJdIrpQcBzCVOJK3AKNvP/KaOzek0aI6eDIxWNvX29d3V\n",
"HCgWlDZJQzxBKOiqchtchkRfCeGBVKgU7ItPLxc6l6AfFL8kl6hgd+PsmfmILqnwkHeylgV7WMNZ\n",
"8QNp2Mjmevo7MPm3ZzTiaa6VHOSf9zZ9iAObTIoPQKJuLzEjCqXd3CnIH7seZ1d12q8/67AbtpSu\n",
"93Z42BGRViwkCQSj11AOH+bAavVm0oy3Xr6ijXsRHTRHvdavIl1I7+EZDlTYdR64d4j3oq6Pdk1Y\n",
"xlIM/nLa6+GGrrbuBsujSAcvMLXRo1FdCOw1gh8E96W4bSvD9F8hCAdji3VchaLFdcAi/FIIztWn\n",
"7jKADOOIpgwLYDMd/1k4MhT4VQudY9FNrlXohAyy0ncBXxsPxATpUWIplWOJJhK3uojE1K3ydBNZ\n",
"XwAiGsUvymzrQfUhArXluux7qxvWeYusHmlYupv/SnVAIJO2E7QmTKxZKRiTkvRdVjXkZXAXO86g\n",
"ei6F3leLmPfD7wB16hNIEmUxsNY8a0AyJn2arunLbN2oqvhGLU0iQvCFBu9U8RX1f6h8EXzi2kaB\n",
"m/+mIEQWg7nLxUwGeO/qLjmojFRGfLJGxjf7qJ1PrbQPL45zLHLZ1QSgqyRLAx/BTNMW99+/HmSn\n",
"H/yJhmRv3sWWu660/OwP3hSIE7bRToClTqJCWIPAiNDuOosTKnAMN3P5ZVMULfb3Rxg3zYCJvpVk\n",
"BPP3o/XznD9AvdCX9IKqrkTpO6brgudEkcX0P7CojT6pjIwshqHYEXMcDz/x880F6dxFfP1mT4Qo\n",
"MYzeYCdcH1ouTjWtIormizt9JTqqkip2UKB51RXYmyqgqMyp8Rgz60O4jJZNSHEddXlGD/pSNyWF\n",
"/ZyCxVmMvw1jsZMOA63YeSccscRG83Af0yIUUZVISCKRd6yP6C9CWRakXLlLFxlzmNXmVzJWUwnX\n",
"1XLj4liWOY6Umw5/EjiX4amEsnHD2cbRI2+MAzFc65lM9mXP5SzVf8gYMVH9Mtrg0FF67zGEeU5I\n",
"MXDXwS9L46zAP3YEjbqiBXP1/N0oWHAQlRb8IXqchQFRYvHNuKsKgYF0cbOJJvDg0Bu72gAPYbJr\n",
"QdIg/R1Klp2M0WCYeUj8Y2hlPAzu1SVoZZexT3+ipXSgAVO+cn+sbgOPUZ8DEfVhvzcuWSwnXLgS\n",
"KMe23I8rmmbwDjjApWi8XJdAMISMpgklqBL1RCAY9DsiC9RWNWjxULMrmuuGY6NHZjaKAh1q2bR6\n",
"kg7mVFVq+uLArTXWHNmgNA0QSrddoBNlXRqbcoIfNrdyLv7DppEgZQPQO9Fd9FRrdxfaUflv5TGZ\n",
"/R9IXSs7vhzC7xyCxJqne9MHDHSA8iR4Mh6uY+doobAA7whdamRKtpDtX6T6Np01T+WugT9hQ3GQ\n",
"RxSZa+aqEmW4O5xmFx9ssHOcbEn+iUNL85c/6sQHp8Rana4zzSJAbmXFzN3DEamUvFqOL2Hy0f0d\n",
"Tx7YaAuqikHFYxCjNAXX9nXmz/0D6iihceWqPtJ0lomqPLSRH2AR8OlBhbjqGK41s1O58OQ4K0rv\n",
"qJHOmms0YEmUDiO+LxIAAdAkCsaPwaFpzZNgdT7thynJvVX+vb78YmyCIJ3O39d1Qw5czv+zC1wp\n",
"E0ZKPRo4yNX/57i658n48OhVziXLen2tFftDxasSHGhbp/XneCVHTLFXzl4Mdx05Yv9YJDaV4L9f\n",
"HGrTx7obqb4lrZjCsYF8mDOhIfmh8kwTC+safrD4ahuM5BrA3PKdXhObp6YfKB9dKf1fud7UlPTv\n",
"//7WFF2UrZzuoN+2VhFXmDWp25I5WFqA3bjUb0U/gSphZotIf0x5FTwqFu9xdWxKcVSEdkM/nJG0\n",
"swFNDKx9dUSBGfFTAvMc7bt/BD3eLLvkP/G9kguQtUb1FuLmVXAhle22wP0U0OXIXpur9ruVSpYQ\n",
"CD8DPfJKhWmm8iHAamfKK2PP25XyO9WYReWDrvt0n+a8HOJPjLL1K/aCGjB+KLAOHp4BuqjaifR6\n",
"p/Vy332R+xiZezUHSK8CJtT57BNAdBONv8zEnL1xuHDhhcVJSeiau0RwBYVjPpL4PIe0DukgJ5i4\n",
"8mqjTTnB16QwCrUbdzS/v9bjl7zvKLhX0EWaEQEP2WmElUGs/iEMcstQC+b6KsPf0IkybYeH9og+\n",
"H238hiUWcZTfJmN9cx1JJFSVnB4maBEcubm+V6k2c7qmCufKigTZTx36b15fnHNO+gbH8xQ2KEiF\n",
"Wi1SmlT42nOvGvQJWfws7hwfLQ7lyOTM3CA8vJQEKTB6X4bzmeziTnJGnAG66azuPZgsp9WDnx1C\n",
"cXAurQwhaJf8SyJc6xRocgZDsqj3w7uC8Mev+zkENevCuW4jvgbLwYtpc0YlsYOa8Dyz4HaK5U6Y\n",
"OJhsPzy/nqdHYW3WMz1csWySamu6SIbeA/eN7ltmaRtEFfSZ2T4UpXvcuZjojQJ1RvMH4BwdDYg7\n",
"va4p/O9AThhFTi3q/7VzuDHmS6Q+ocG+NdRTZW7cYGQNH0XLlgpgcABUBIyqFmZIMjS53Z3+Blvo\n",
"U03uXZ4J2rAIunIwLqkWK1sSsYH83QnnLEdbbzILCou5/NPcPtLYcwDqsyz/gi+m4VKvOFNqCgMt\n",
"5yAbgGnWQ1v/4zuO6j8jNlqbsh6c8Etk+Xx7qk2e12itIJ5GF/oYhmO+4SMp8aDvDniQ0g2/d503\n",
"7K0Z4qg/1RerBlQQ8cq5FGXKEbUn1ssn1uOaZY/d51UhXYdmj3Gjg9BDYWH8mnbKPgQfEzNMm3aj\n",
"LW71apGZz0mW1LmBgGDO5bC+l/PK5b/8FZsTCjYb3YUZE9w62ij9LVA5F+wctOgQ3Sx5GwwSFgmT\n",
"e+2EH6Hyn6vQ1WiHkG87tfl99tgJhXG8AAs7ebsHlR7suKZ04vPzrENGk/Nb7pszYpowQV1HkHKi\n",
"0xdaWFIuXM5CchtaY9IuqGF9yzz5WHNtEin3azBZ6uHwAG0v1GKfxr02psgPfAOq52J8NQEoA46d\n",
"F+C6VxBadngjDMIRTbVwFRKvKczV7TLSq8JPu5d5FnALY7XMD0rsc1mzwIKmLmTqYwzLnU3PYLR6\n",
"WOIgoafWW/UGbHSKcAwK+ABgAb+1ljwNiMgM+YfYm7+41etNIVdJ86jY1ZW0SfK9V/AwGbzrNgZk\n",
"dUDObxC0KaxAWU92ouriXOsoCJ/y61IipXRgNrzwXIo1v42arjxY6Tl8wIEhtl4Bt8Nm/ZtTwshv\n",
"wi8z9tqnTzrziRhuty7sFUPa38k+wQhuPTgpXZ2z5TepfYBOJdgSLLgSvCjv/T6dZA4IPNkd7TUC\n",
"6XoPP04BAliqsi6UayKmPwDx8Pkj+V/jkEmgwVNzC/vh62CgiETWaxzbd9lcPP4puhTiQW7SYGxG\n",
"rCVhnzK/wFRQn5zqC65Si3Rz0dllMHatWB2AJ6Y0sfkDrLxLkFglc7huBljpdt+L/+kt2o1+ef+K\n",
"xEG1pInQRzeSetpTENQhsWUs8CvMJPUk5So/2MfvART2NvE0Nw2tDiuoSTY0+i0Fw0s7WXrzSNAp\n",
"I5tf3/WOrIWTojarRVbXp2Ph+BFBCJGgpYqIdk5gUPwRhoZVaYp/fUpnq66Onoz8YHc5WQmitM70\n",
"ewr6rL1ZuD2B//rVGHI57Fbesyuyr4GT3znxE6hXBXBReYqdybvrW5yQRB322wFCZO6jrC85lgLc\n",
"drKJ42Hji0jhygzxGrsuYxdqCEBOsiFlWjorLY7S1bGCxQ5H6T6Spjft1F4LOLIaYJiiqsVaxr4n\n",
"eAL88p8g5vi4d6yaeib73vHQbwLBoysrlWSHAJ5IWCIyMFSo67Nh20VcR+An96D1NaIugaS+Dq2r\n",
"w6aZJHLeX0bp7Ukkvbv75XAydb8WZ6RxulZNUcjvtBhIvkNBDBkKYBpi8s1eAPAfzX9nYlEGdY6t\n",
"OYpIhEOPAfJaCMcMtCYhYVIg5xXl4n1oHPLiuE1J6btJLUBleG+l7q0qKnBDB2xOyR6D1bYYmjVO\n",
"Je3r0CM4MzET05OrRTVSqbjxYrjsamnPRx6qAjWb8gFNMggdF20OUVdcw0uURUeD4E1hiIyS3n9Q\n",
"RgtFka4mVG05/hZiQIYzYVJ02OhQb2h0ku3JJzLa2V8AA6aPvDQI7y+aahqg+WZ7oIPwJubVegl7\n",
"6w47vsxRSzN5FmW3Ssqf6NR3IeZver4YBSDawkswj4ulOrOBBYdXKuy82kQasdz4x8RPWShqD+oe\n",
"dOA3iQpKD48+tIT0umJm8ldPPogez2Wglxkw/wLFiusgjCcakZaD8X/Xw1HLSBSlgsazbgvKnAcb\n",
"2qr2D8Os0W5fmhmai41/gTtGOF8lhN3mfpjg0sPCNAvRNnBegrjj6D5phUQzk4GcIqcezVcQ76BB\n",
"gv0D27gFxVaFWQHUCToFWDmEp8/vtcmSq3ikxxi+R+Qg+wXPrqXNzP8PXkSgT6iFuqxj+klYAr6D\n",
"uvJxU76XCFuaRmitFUBVKIj5zy/7/2xAi7qRW8JzzKJ1lvTY2UpJQtVk1wKbRD5sa4+4YdsvAWTv\n",
"bCNaixT2HzkOjpIH1Ss1Ng8Lz4Wfo0MTrj82gSN+Cbvz603RYESNx9jhxG8JA72RO+CzbBQOoK+5\n",
"FICibDJ6LVNm5DDdIOyYVwVJ4C8+JKt731lAaZzq+xUj50nG2Wxim6eRic9LsRUB1RCuEu7OanID\n",
"op/QvivV53szKBSJvFEsflgZ1tAiySeeeub0THnZ2oKqWOduJLgyCLq8PH4b61yJSTLaSa1uGahb\n",
"rYkTW06Jg2eLAlFbKb2eVDGs/vA1XMOwsdCUat9B6u+sSMOq5bs//sKAbjb+0IBaXZJtzu+PJa7k\n",
"LehiueZ1wc5xRqo1cs7/JSJlz/8lMVH0jrGC82xSwT3pO65Yqc2K/Os4YMklsB38cvC2eDrYAhIV\n",
"P6Jb24pRIi7JR5xQyGlVotTUfYalLyYxauUw471bdmVrgWk7ms8VAQ6y8JYFx1rXvb2+Gaw4Egsn\n",
"DlYsw6+DFNDFVZ+sGIz4nS/jTl90rEXDorEwk/OYtQuZFqq/G+Gb06Y9ecOQnsO5T7noEgtPXWnN\n",
"9kWd9G0zcJ7vcHvxE3vH/OqYWfUeRXcDSL/KhKafSg2Yr50k+JtO8nXvetc1CJl4ue4M3YDZvDbe\n",
"L47PPD8ahZpdpdU99BPlMWcuIcN5m2nobeBsNH/c9p3eiZp/y7qeLLmemgdM7tJ/ZtpcpMP3KwJu\n",
"T2JF1VR8B8M2yWbLlFmu4Ui2Goqmzlejcp8gAuoFp9ZJDxFCYzUEoKIvRQAmWaz96TAKMIav3RMs\n",
"xTDuCHetbH1JyZoksau+3jpw/ObfvWDUNeCTENRnfJMjK03fu8/w3th/WHhQEgf2WR7eNBPO57j3\n",
"VR/DB7+6zCR/bkPTkiC3EKGPgdv9OD8oCJ5kTun4bgLJkGNECDbuy6N3+MAeDGk8jS/r1kLswzpW\n",
"AfgH3bE4coIx+tUZjAceAfCAqVAq5MbmceUOZKadCjUbtbGryQQHOGzydrYT+vrZ2I+bEgiutbA6\n",
"2zO1l85KPIf/zVRipJVnG7W2KAC2e809s9Q2JBmpThsQ7ipFP7GAjUiiPCsstJSgdovPBQBxUtvM\n",
"yTa6JtATvtz8PF6avivKVr1zhDxjgaKwiRD8iIf95eFCgodSMKq2JPrP/P7FApm4o/FXGNg8leP2\n",
"P6h6Ta5LwYRGG/vbJqXBv6JfWLYI0963mfL7n3M9HHDC9OEfvM812UdKeaS8En5LKwbc9vOtAJIc\n",
"OmTHnTElNH+p/7bY5f1K+uIh1fpGYTWwTUjhaKR4vUiRkJGvMIpM337ED9gQ9F1RZ6cyWplkgTzN\n",
"a+P48wBHHbQfattveI0VO9xMyrFFPCyPMbzd73Ib203vm5xDOkcdUO7JIMkfFPTqEqk7zyQN95Pa\n",
"7T3DdDf+IGmggqegIUfHKHW4E8s/kRld9AxmkOACWRWeLD88J77pe1jqc6LJCYEGPW/Cyv/Gz7Gp\n",
"VgtMPw/+3do6xtNVw/cUqhvmImAdu9brWJSoTXOMYhXMCDFz1f5WxXlpXK48K6RGhJdYyjYiZiyT\n",
"ML6OZegv+Ju+MzeSezfVYfQgCnDRk4BekypKjFTlqaNH1mXe2tO3RDDlrf670RYer0NrySkNlNjC\n",
"oVCSwvWRy2f4P1MFlcMRcHVFttcFHwdZ7FL2x3+LZfjeISSCKUi45CW4aVdRfkAbTPyA1SUL83Od\n",
"aqiqmmGUlYl8v6DpzoDIMle83pCMeMJv0tcCmhhvHsrlxhyJWH+gu+wWERoUCL4s4OGggZDBWLrv\n",
"l3kul7Df81yUbjQK54x34/jQbuoC9py/vpX6zy9HEbs0bpsECKA3pBxGKjhOFJxe/aj4n2iKiVgR\n",
"KAf/DSveSkpbyfPyN8406cM5Ij6QA+H5Kg/PzwE6xB8KQyCJLZ0Iv9Cr8bX4s4biDRF+GAqmhF7z\n",
"NwTCrB91hgxtH5xKgExX56o9Bu+8NKYUuNgIDh0V2u9yM5VytDu0YljvEaVJVJgbUNHS9ZCANdKo\n",
"+Xq9NjPUXSN2Np0jBGTk+QB+ge5b2jJWJ7h8Q5QxD2DWEj9wp+d0PUesm5DZ+Tdu+aEq1mBetBnc\n",
"p7AFm8Byb71OMAATcQAACs1BmiRsQU/+1oywAShf2x2Ruyu5gtiLsPwAEWuy44/b5SVqrhaf8dX6\n",
"5lyIr2LQqeZRCdYys5xk/XLpC9ors9K8vd3J+wV2kXHf4H2ZmiW+md40KAtx0DuEngdbmbF7FCmF\n",
"dQgn7qILdGME+lWKg/GedI0fUxJPASz5eGqMI/ORHV1tevu0PAFi2t2fwvOPRqXaPmJ/QwZwmSFj\n",
"MXzcCEttgfrir/CBo10NAK+vS9dy3vdBdsgtCH2zEkMHJCbOwMoSQCfSG/oZtzsSP4uBL7q+aRb/\n",
"Z8O3L+FpUaR3KZ5ZZdjbCk8TGKQABMPGoyqOfxf/kgykds/va7MxteowkB82E/JnIq/BdI5PTHYX\n",
"dJL0rZZtTR48HZ5TuEt0QBebCdUPud4tfLzDFint80mxlyDqeiTsXJBCksRftJHQ6KLZuretfT6w\n",
"Vsp5JDDpZXlnnZUa3ttT9lqeMaIcTBwwYDfifHaicRJasKZe/QQCjmMFV2paxMdji1JKB2WOi0Kd\n",
"fKXcJWcmzeydB0adBQT4RTA/36E/2BwcllXngSie6FaN1yYOhXHVz6wm/9xko2wfIdu6pqHJUOlt\n",
"97gwBPdhAbH/r6PSUubN2V4bRg/J4tJpX2YGsOz8bOoR5fK2Hh1w7V8pgwwh68dYkSc3jEoNpLUe\n",
"y0LW9wzDzMwdfedBLN4+JpmYq2S6vdj0GdCZu45O5wTbtbbG5YRVlJpjsb2kKy+rpMUE4D0hfwnJ\n",
"IC7nhXV9MlJML5YUm8gU/cuIG738cGpnrA4BliI0ms9xqgwj9isvRZnQo6QT4TWwDPCCMCKZCxW2\n",
"MwudoYPAiHEbY1PARKF8DQ9yTMh2KwHhgICpcogUmXcFPAJzZTGXuEYu5pULDXagv9cnCNojC7xc\n",
"cRoDxoICHxTpAH5Kjtc0OGAIYGey1Xk8EZPXM+bca1CgcAWdeLdSapbJZ+OuLA3HeFGaL1sWSJuo\n",
"w/KuAXo490m/VW6GDg1y0xpK8Lx9yfry0kBnnK1wOTEocQBe79pJlNQKkre0QOxzs5Rq4Q35+7P+\n",
"kYHWpm6Gy/WDUNZxrLZI19MbQ6FblX2fkC/YOxmabw2RTzfWWmMpfYwgL63MO6j8O76EORYLHehj\n",
"JTLz1ihArv+Cob6W8tYBthQH5hbdI9UNcXUfS4qlHvonrMj+prrFQAquabQJRjM98oI0QSPsKraw\n",
"c7UQE4JvG9APmB5dNsfWQIV6pd7Ju/NeieLVIvABp6aoVu91sSJI3n7GB0zWSA5Og/nfXR6fPq32\n",
"6kM9G4Lz21yr918pB3Le9azGuDmf3mF2lSdAk5E+UqCVmbvwmyLNrGp1FM66zA7lyHgFSYejVS3Z\n",
"LGXnKS5IYKthyF0djjeudwKq9a/77TLwmnY26eXZ8+pishJR/92Y+Qh+HA8C9xAIeqXYFxQ3l7Qx\n",
"uSMpZ6T7NWVTMmhz15m8vte04pDzlom81QB53sDlXoufaFTsb85kkt5Edf5yQ64IEUHlNZXWtNPf\n",
"GOdgC1q5ygdQa49nMAPA54y9b3lfGJAkiq3CaizF13DDRLmgbXj/PTf6plKmqsVf03MeqnsCG6Vx\n",
"6L3LUllvojsS6olh639y10ov+WiZJfDXvnTnXBy+IlIlnk12UrLyD/FORYVId7iLnodAEIwbnPx/\n",
"ujrs2d8PlY768itxKLs9b9DpUlNayW4TPR7WOHFSiYi8LIeWVRMGDn5stKTDN30BaSznHFOL6HV2\n",
"4kl8dLTtH4Bc5EZuX1AlKd1id+qHoUOC1uCezYXPQFgotvlIZw3pvpmLdrFUOYMmrvKJsLUg9u5c\n",
"ncY66VQM4vERM4/ZtNOfyHDNLWJgcEYKLpBWhE4jqKLcNGvV5eq1PDDT8wc77uJl13O3yhGlHFj4\n",
"uOK4xKnrmNwwqliB/K+TViBCAEFNS8sBM5iqLx/SjqEOfxSYUX4PVgQPruuJT3mMJyTvhE2rl4iM\n",
"lVqxMluI2Xd6q4uNizXBiQyH8BO4KtJlkQ4gDV3brvRVtYJIj3xcVEG4CX3dKh6gMBahTY5XNdzy\n",
"066jrfuagCA2FBWpO5BhljAHwOLBKykUGvINNnUzRxL8jOADuJVITNpRXRgcGfbH4SvEF5Xp8Uto\n",
"2tmji7oBd6eYsdVB293NfMsxk5m69A7IDHla/WEtlxzeDMwQf+q9RtvuXd8hug1DYwlchUK6f0ah\n",
"4E6J/oXFuLRkEZPLcFmkOtc2iwEYh3C7GZdDZThY+uD66Ed+GSgx7kmb/77v8DAeb3qr4yw8tDtT\n",
"wYhKx0TvIjis61W3dXfGD8y50VNZMA/5pWlP87XnZc3qVHv5QT4np8UhE2mNSaqrc9t2RXAGxlhl\n",
"vVlQKoC8Ls2GmNbZSYZ8+ee9PuoFYn+X8WgkLLirFkJsbYbqw+tHhtG9S2bVMf4znMT+goDg/Fe+\n",
"EUKyhensTcrLfQdJiHiIUVXV5+VG9ZPm6GngNTl49vtNwgeVQoGxvSISrPpVAB8h+IbJ0L2aCX9p\n",
"ivZoTMLmCvd2ZiHDRiN55N3yEXAoRlBtQsZ1mgyQuIHl1J6axPpSwA+KIdoySy05scdq2aU0AbHz\n",
"Z9pf3su6IF2zh4AQ3IUGGd4wSOsXklftRem02lWIvW/o/LY+wvXjELqPHJSSErvc0HpbBIeQRWvm\n",
"tGBfk5ICMmmKmWRmkxaJ8X8ni+CzdS2q5+kBsrx2/5pHvTg2vjqQCyZcjusTJQX3AGSumE79+/gw\n",
"WVuoT6+AfQie/qvsm3xVxy5S14GRjEznbHwE7tz6ZCApORc2ttF3Pa7EL3WrxyWV4bm/bQtjkVz7\n",
"LBoDpW33zG20tq8fBFJWxWhlrxc3hNBkyWNCK9XnrT+CAnF6ESCheOrf+bla/JHF8P/K33Kv5P9M\n",
"vymAknTU7kwfrdtZzgy/Ny+3n4bUMLd8CvF9ljAqNjGV/NllPphtgQe8J5aKleLKWoX8hjS9T8Ee\n",
"5lIelrLHPxOxCyx58wnwqXmBH/DXosb8w8s3S3MHMK1ZUUk5bKeeznFNFOuLLEYgPB4wt0l+Ga1S\n",
"X8o7qf1XN7FMQw0230qT+1LZkirCMRU0c+xOSBG/+Y8zDEnynjwkXya6TGfHTl/XChqbUhY2XP23\n",
"d2XIxTQv2hjeALaiyjTG+x7vCSMfhaJKEDFXo93HIMtQ4ugmquF4GuUhu8wMyBP02rAws5svPlpI\n",
"2B+n4GUlIO1F0FQFk22QPI168QwUuDM98m2qzunxPmiYYNDk5r5Ql3Tuu0Vj4ncKnd86hx1p81Xy\n",
"AoO0w/Yl3lkw1U2B8hf1f7hJ22w6yUo21ZBMRr5kq0PngGMHslatT1pSGFpP1lAryfZUUDJYMBOL\n",
"93f0pkIlirnKyPqVSjCnk3/StitBPbkI69I6WXlg4QPPS/Th7DUllVdUtCRX/X3oXZh5i774A7ar\n",
"rlrNmw0kGbQW73sfJ0uH/mzKYIYk/vhAQokxKeudyvmYHgzjd1X9yDTnKFI74Ot4qrejHc2SQGlg\n",
"1Wz/rnYAoMFAP1Yx4O1hFHnW/Z2URG6akj244uK5edV7/aDf+iBUKoiX/aIroOWhdY8/LLXMDUWI\n",
"Wtlzv39OTqZHjxUwYOH+PmAWUBPSRpiBX4vhlUGUpOs8d/VaaHK7SFLzzv3/4CV5vkDl7CrZsPOq\n",
"sg7qt6p4CQukKsnzHH+bFikg76FgKY8Qkvh2OSVbxIlWODETw7ObIYDtAIbeBwAAAjxBnkJ4gh8A\n",
"BaqiVJz6jYhQ+m34Fwn6fKXqlQfqtDGdhY9mDnptPu5GH+UfPi6614CDguSoLWB2917Izvs/3Umi\n",
"FjQL7zcfSpiiG6axYowNk0+D+A2i842YnTzjf4ZxUQ3EMJRtMuavGRCa3s1emDvS+HK7pZOxClP/\n",
"7/BWhBFsjk/GF12kIQv49IAR2BxjsBOZWl0Wl/PUFfZan2vFYeaNRCwwU24a5qt171JbkQyF0yoU\n",
"czj1rT4ur4TgsuAe6RjcfDZgJwkoUpj73pALvD1pvGOEHxC5ub9J/R8etx09wKeaaGZ5FpwItoGm\n",
"5YUzr3wyf31dthvTh9Z1ytwignlp9+uFp3rBd3XQFTu1xOQ4sL2pMUDlxHIeqaK9WOluEVhn64vr\n",
"pDdDVCUcehfEoB/Hwxn1Sl6HalswTiaJcQs7PCe9L+2QT2FDl4Tpid0rpJLwsTvWXadnBLPvnmAc\n",
"g103Fm8jRTZu3PcZZbE9MsWXYTGaFG5KxYyeJWyoOmw+I5cpXjgWf8UqZk4eeZBqKxz84HZpFe+w\n",
"ZyMmTQT7cSn6nAgaMG8WOdTCy18ne57wRPS6/chSAuMlAZEOaGouUqTQkeWg0njlWZ5OiMGFGYrz\n",
"ypgJAx6vE+baQAskDDx/jh8L6d6Mte/ksCTAsc4hli5DbeJOfVa6Q3CBYrj4HgLI3eBTWvoJQjZy\n",
"a0je5TT8uzuAdj+qH53VljarSycawWsbdutfbcL11zroLrZjgcp57AAcXOJmwCqdFq/nYQAAApMB\n",
"nmF0Q/8ADD+k0c5cyuvW+YpC7AwQeQAK2Fj/fX5LqhpMX4KNvhWiu7n2FpWu4mzCveaAq79K/3ZZ\n",
"Z4oVDls59O22m9P4/UxzLx95rGYNSm64ucp5sg3wH9a6lP9vPD6zOxafkZrWjCYfMxTUsfvJlKMk\n",
"Wzq0Bhc8JoondjErdDyGE2PpG0LvM6K2f+B7YzWESJrBScwrlKr79uYWpi+evvGeb/GSoY3g0DNH\n",
"8cGuyINq0UYMkZI9CzLowiXue7D5EreNLirXOPwnRqxmDj9zNYDkeknKqjjMc/HxtTtRWKh+pGpo\n",
"MYu1l7bklGUmHGEbhJ+VxSW8O9oOMNmf/dANvE5laAJItm4D9LPtBqLzurC+IS7G2zMUIkxcr62D\n",
"eyeyPohan952tea//zJnqS0JEGvqPA18BvIAMUVzPWUqQnyoyspm4nginrQTKywi1NnQ8DjotjPq\n",
"RY5epgje7CsA15ndDmLbijnmFwNLs5SO/+W92AlGsdU5CzoQq7q+bx8w5K3HgxFMkNLtunPeAmv/\n",
"xVshXOR+J70D7gBDfBvWYQCIUa8aSzULZMLPvv1H9zQ2nLSG79JeUFTv6Hu2HXBJ87gQh+01OB1b\n",
"LGBKWWZEJQXhXPWlNSIETAnltKno5ZmUzUT6jXbA1/zBAkPE6DXLE0oOLSbKvM6F6s4+pY/GTx+g\n",
"YjU3rajM8x6yUVbWeAkivBZPZFxyygJkx0DAewOLKk+2JEDBW45JhLcKvEeFNonYVayaRC3vGIfX\n",
"h76nUBp0KwNh028IAiI5x4yoc4d1ONM0PUnOxMt5oLgaUwu/5oyqyUvvJBK1NEuLEaap4Skx27rd\n",
"vT0zSpsLNIZrFFbSHI6TzhzMeujqik4dr68DVOyB8AAAAqsBnmNqQ/8ADI+OOUuvcJUvoOiwtGxa\n",
"AAf5DPZJm/eEj8CelzofEZc1swGzIQX3DgJ8+Ayn0WNrn46u+Wx7aZNCsS9pXSviKZOAIGkkwioI\n",
"A4UYnaUWcKPlpxkvpLnM9AgW1SKkg9GM60xFy0rkr3rm89ocwHZnmCjerZnIRgM72kzIKW7WYxcP\n",
"lJTNCYyUTmhG/ViOVvOS0pornJuN5ShRpg/CSIuxHJCDI+byODoT39yYFbo3z7clDD1Ng4OFkDiP\n",
"7SvD3Ne/iQmU4Irv0qLIAE7gm+gg04r+2d5jTShdlZgEqwD2MxghxBBOxLLP/7wFwb9j44AVW6dQ\n",
"euJ7Iu8dV7nNw//q0lMZIqxk00hFL1q593vNq7yKhjd7ZpmGXynX74VAD3e+FaCySN8XoCkhdVaH\n",
"42VHyWGZ7jqIGPLi9PiV/2RGu9Gn/PakT1FYNTG6cbNaE/IAuUGyXxj+rXox5FN6m46yYTT0km0Y\n",
"T4W+kSiuG2ERJSrggG3g4LSWGX0x//vbWCJtJWJgE3avhzyexvsuVHC/n+MZuNJGLxkh4LRc9SVF\n",
"qXGzoDYr7nMkwn1ZP+3Fc7pBJSgV7gTPiqc0v9DgJkRTLWnrLqtyB0rw7dnzGg8w/ohnccbW6LP6\n",
"KNswf6aIEE5ZYDBdEOgF3+j0Ldp6dG66CP9vIMxcTM+2kJ/nYEoKR3RPowgnmRCiWr0VY3gZGzrj\n",
"pBgbX8GGGRTr/P1XG3BJ5Us8aR3I15wg9Kp4dbhvlZJXPIF6aceoMYI+wRAqXGNPxGgPyMd2dsRn\n",
"uZndB9DTc5/vUbjoYHlVwEeCp0da/ZIl4IBb5SPEJdjAnV45uP9lqlzKIqNOFaBGXt/9g74o78Zt\n",
"K+yNW4CkiiCwn3vCVHXaIZQDOtbw2z9S+AjaoiN9ReApoQAACiVBmmhJqEFomUwIJ//+tSqABMfv\n",
"1ABK8Yx2+0Y/QX1+Zrj+hoXju+gDiTB0VGyhyLMDv+XhMzdCr4EofMMvhzFROBjiDFEho9hD0rCd\n",
"3wXrowIElY42j3Jl70qrwOnBp8UpeXZ56TEFIibwMtcSUzdKx41xxFucok17bEOwzHr8Nv8yB6lf\n",
"vcmKJVuY7kw433lHm++VkWGr28Mn1d1/Htbk4t5Ox+Jm6DR99g76ZDTfv8zD5NIWhF8qXjP18cLG\n",
"1QHNPIOYK69TKT7Kn7Y9O1mI/Fu5PfKroyD/ocSGD4Fqqp2BiW9fxLY42WWxySR3BdQ0rLceNwv6\n",
"VypVWKo7/U0V3pyyJOBcZlQWzaXtH1p1U4r/0KpB+kIYIncZS0ieYVCevWjmeuFhvPmqTWJyu7wC\n",
"+Cav7sC3smqIs85DDGElEjrr61opnENWc4z7YSSs8xUwrm3MZrjjIcyCSjZRuKGmnqu2AfEHbIAE\n",
"iur+sbPY3JFlInWvbmr3oEznr3/juuB+xNUzpV2GK2edlss7xVFAqERwruSmNApJZN81EldtGcXp\n",
"Dt/W3kjtk0XRskXcTWOZMbuDCkmsH/5zKIOPqcrUHIUS0ykPRqriMuLaFXG+SYFROtATwXDGWydu\n",
"GEXkVWCWlPK2FcVaxUCg3lTJco/lYhi5knfzFYf22HJ1XAipZ6RbV6uPbRUz3mcQVLoXZOcRjX7U\n",
"sqpRp42Cim+KCdjEbmfw2DzuKjWZt1SsbDaed4rCjonyKes2eYnwAKdRBGx/7LE6Qpuscytxhx32\n",
"uraxNfbl0Jj9GJrHZh3QznB0NW4MefDWM0h91Dx52iXlzA8Klq7z/wtFPb84NDtKdjrFxsqpv+Q4\n",
"C9Qori8YiBWwYBMpTX/72ZbHTWrbcbpMjCJ5wKVXReS/4aiTiBC+khGmL+kpzJn00o13PFYDvgGz\n",
"v/fR9YvQHujO1Qor9zSCOXPGDrs0PZRot7LedfwiQPtSN6FtTdM8WxodNg6nqNyBs2FTNbVj+qxF\n",
"XzoEZFLT358ZM2wxxpqppfclr5Hmr7tW9dYZwXw3weC4g3bTstfDseFKSRc4rsFal0vFwdTICXpg\n",
"8onN3Vxk/UtMweBsXm6LceclDM16fVO+u47heJpLgre31PBSDFaaYKWQ//gkSZNIqdh6LuESkSAw\n",
"INwwOkAvmXoHkmvdhoMS8RxbxWffvicgbCfiuVeJyayjal9dwteNmg4TymA+/uMjUs7kxYzmTH6u\n",
"CnYZE6kv2iP50uVRpEi63d8uA1dr5KrWJuNskWpWdXLvSixi0rfzGLQnvNZ7Tu5qra4PpcUTqm7C\n",
"+pSEqnVbpAEro1/OQC4Fs1NpQ2evtWX1uEXpLO6A+39LYRmT7bljzzZAJixUylEEwrWdy1jBNUIB\n",
"E0jJSgN1hu45C5w1tP+CUQqOQzGuMVMiWbhhZmwuX/DONLdIJQdtLwK55mkXZHYUR/EK08De8PR0\n",
"bxrO/Mla0uYaH00mK2Q24xggcFMFEE3boEHq7xnO8yFM5ku0Hw37E4fUMYe1aVvZxwNVXtDkMZlo\n",
"8Z+1DFvX0YRRMm8VWReoYbxutBXFLUworf+puNhpIOURZ3lGVSIlyacpGl3MJTlKg9bRV+VT5ASW\n",
"u9woPSx665A0dRX4zw6qkdVTU3Zxi+1psPQrokDpy8VqQd71MJUQfcdGLXXPnmkWuIF7UD4VZcxv\n",
"v38RWtAMsOFmHg1yfw2fDlffRe99Wh0VMP3QwD5KPyw0d31u7wuE/lacM4xV7lALAJcEgaSPM2G8\n",
"YZDsk/vssxUOrVekP8xQATzBV5qmcb/PN0vHi2gxH+hv6+YnCiZrZbj5zBVcgqQX5UPKy0yWRmVP\n",
"oCw0aKbjSfVwjcTxjwnPQtFkQw1gCsRDyCepCeElwsJGmxulW7dll83PH9HOOGUH93kt//pKZx23\n",
"ptdyhfpgck/02IjHSeBlXSR7y05vs4rZo68+DP+CrSs43mPLSeNivZsKAHJKlBt4L483u+e1Mge4\n",
"NFhErJE2niK6eLItt7u74GTqloEQp+Ox894q59aw6704UGQm+YVvCdax5qAZGR+SCi6eViWS6fnu\n",
"R/hXXsYYQk9SigO27BJoZeVu24uX9vSwXA7Mutm3xSd22OhSkjbXBO64cr3BDGDP48mXs2E8okSe\n",
"LYVARjUuU+a79n1f5wIDesjj0XzQSO8kLFkdIgsyD9M2fc+pEmbuVph34Ho5MFhy2kYDiKBVPQ/8\n",
"UaPn2SptP/9rymcBKxvlvMpq88WYN+rNSER99HYU69Qea26dUtv8+JlIGsDkY/imuEXAH/bmZAK3\n",
"DVVfnNpPtgu1kPwLB3yP3hlIDcyxl4jzJWB9wJEanEaFyP0CFOtOcik/wDDEob69o+3nd3K0qnWT\n",
"Msbwph5icbJz6omKQ1a2hCtQgs6O+p3xisQlyzsGHkQtVnt/TWCZmmLMM7DU9sqiXb4cyUT5ZMOE\n",
"wtkZaj9Xmmz4mQQ0v9Lt425SEDt1iC9TqBQjVryGvN7SNhzSY2YL4cqNAjNM6TBDnzsYlAQVvyMx\n",
"+GwgAg27vC21dEiJsLoj4JW/WQDrMjv+Qr8A1BTMV0Dl8pZPYOYhTwWtUEfe4v0+dqpE4beop297\n",
"EAdN42s2ravK6TLi9J5AnKYWFS+4swsC9PWL1xTApNqpnxuDu0kKNclez+TLbGKke8Jk6OIb+mKM\n",
"liLcy6mlb4HmwA4cVbDSbWNKo8+rmi0oVdKdZLoQzwT4yaux9fDj0cvXGzxQVN+G80ftG5/xlEu4\n",
"Spf/fhv1yiL81LjnZHQq7Bqp0i0CR6Ty6e3tdKJMUjXnuMxTJuWlvumg4lc/2l1jsrZm+QzP9UpL\n",
"gCk0bDjojtyYxJj9HjZwIgW5dRiUjkK/W7dHfjjcuQsSsL1FLVCLnF7hBXRYl+MY0jyAbp+Im8aa\n",
"mSiGaeQYQ+a35AVGGhU/A2rnv/D5WR2v6Sxd0ET4L8ljQZYeVkwn+C8rJBJHbzpy3kONQQXoFqwK\n",
"OtvAJSdpMPnwjYeS74ZXlc6HFxs7H6IMpZfBnNjIUsMsD8mX8eSBsVWo6McC09lsdYgA+ZAbIECn\n",
"zMXu1pZfvg8IVNqlhgcOxohW6fLoaKJMD7jOu45+5ArW0bnABWLvqrpqBxT60XfLLTIalYY8G7Cd\n",
"S1CUHcgLpnr1X/jXnLN0/SnKdjGY1qbRLnWVbdku7lh7pZJf0aS/I5L2FseFZ8ROJTbDh270PZ5f\n",
"pJvi5juCgUtp0gaPIXWUU9Zy/iCwPXRgvIE1dGkvwqjHWmnOtAi2blpEiYntqf7I1W4NpeGTycsU\n",
"nSNNO2rw8K3FWDMLd3rcprreqxOUyvDCrL9O6JJlXftYbIkIAy//3Zhg9Ej+M5Gf7qd1Y5dQkp2A\n",
"9/EU5/qxwBA62MoyKSp0fPnfNBzSzNDWp/CygKt14KNmhBX5Os47x8a+N/SKRH2mpFkhEQgUPFBa\n",
"/jKelDeqWKXlSDAdcQAAAidBnoZFESwQ/wAF0K4bNnATokBHm+bk+uqAMNUoEKd9m7icE1GtrCph\n",
"Vich4Xr9SrHQeX0kLUJgEDPf6CwQAMWHxzI+TxdLVZ1sAdagn7Bgyn+NIUIeS81SXznaUqTH/d8G\n",
"4sZBXYNsbDzzQK17vZWXD2ovyDk3q91qsg+Xm8h5MdK5e0i36CkGH4x/ifUC0QYiXraYogz2RCfV\n",
"yn7PTcUPX8JUmXf7HdENmYbVlqGP+eSFdnjgdHEFhGRR5oiv6SB/4BVMwIOQa0eeJX1UR6RSo6Un\n",
"0qDEDtmRqfiitJL/fwpPKYEDa2pZ5tCh5+KxQLVcx+10WcwqggyNcc19+iRYVFD3iJCE16FrI1Yh\n",
"FHi7F7nGvt3OEzg+LCHYUMLuxjw+dzUJYPdcjMvKYULqULIb4h11Y8zCXxcizNZe/daM6ZZPp04D\n",
"LDbpPKb2/PwqVtG00elVwYIhJEww+YS0tAb3v2mJw69bs3LkOe3YJuZ+5qoi8aLwz3R7HknA/zGI\n",
"INdLfYf17FD0bXCNW802fXQliSmxex0jgTgeBBkjpILvuiaSq+ip/cnYzxCiucOG8QRIa30TYUH5\n",
"86y0IvkEVDAi905RYpcQloKQP1NfCka+mtunq2aQNA2T4PCNCs9DOgf5Na8Krl4AfFYgmUUs8saQ\n",
"K2OSn08Dx/F+EvFo3G9A9kitLqJr9kfklSkGyYw74WJEHiVUn74leD185a+1ca2IgW1gyRAGNQAA\n",
"ApoBnqV0Q/8ADI+k0fulxCwowCX6EpK3doQAfOoJw26OtkuL8H5EZK+KY/sQ766SECK68bczWUk4\n",
"PGZsvGn4j9ZRp1n8I8QjIcu3fs5J8fj/kjxl4+FQ4idY9sjWuKSO15McCd0aKiYxU+X8IdbRfERU\n",
"XD3bBbiHzH4TgdpTbnNjRtVRAsmyVKKGIlLhMh8CEQ2V3O/0ADRYRMxrK/eE3k7ZFulCSJjWg7wy\n",
"Fa2YAsoMRhsHkw65LrszbYxDcOhRTJQ7/f4eNIMWV09wM4+282p/QoklcC2GIjg26awlj+SgMMw2\n",
"+901oxQU0Eznv126T09OCHC0IpjIG+GX0FgR1c48Kc3wQs8xGCaNZoBX5RJM7d1sgsY8LgfWpgoe\n",
"nLyApUztOH0gwvsW4VHt6YPwCpUOg+7ht3nCFM2jpfVNGliPq21Z2v0X5xqXNnQeYMCV3WWq+W0g\n",
"nvRoi0AD9EKSC48iAdHvxFD54U6tRnqmEAfuz9JbW5WYNPKUmr+NbA2yZu+aae5Qkhl0uEQyCAUE\n",
"5gqMCCApkaP0AELB4gdZGDgEW4/KcuQ7acv3q7tKsA+pb2jMihu8zmTmAYsXbTBfX+ONiHt0Kq+F\n",
"cjhMsEro8jSXdlgRyppR9534mQJzM9tmkxeA/ldwwFunkTPbCIugdpSk6UsPHfdL67dfyZNs0XfP\n",
"VixXPEpTI6Kh7XzfuFMR1uCMWWAbLYHcoOcGgLZNVQRi+Mv4uxpPwld2peLgjgLy8RpU8weL2rZA\n",
"7JseCbuCKQhb/KXUzZGHLTdIY/Rp9oohnC7tnJSFqaH9CH/T7PZjRQEd9c2pkBsxbY6Z8rtXT6Nq\n",
"zC8V7zx6H+f81TIa6N6R69u/0r8J1qpX9ukgGrpm+ek+1yDe9Oop8H0AAAKbAZ6nakP/AAzfYmjw\n",
"1MtLxIIsIhyyG+ogBT6AluFrWhT81W/hXmoBeYUGWc6dPb3oEPoVNwPm1rLKzSGB4gC56NmxLglQ\n",
"eOFWW7r+/Rm9u0dCbNV2+Oe3aJbCFzQBztFXvnZrpG9uBJm3xdmWBrf6C2WZmRH4We/THbSsSIfA\n",
"hItN6Z7rl6ifJC1n0ptnPPrBSuXf31hP10r7XPr8eF4Iyfd70mkoyp+MTjxJXdWr6PHNHLc/A0TP\n",
"kx+23iJ3cvo/0csqs57lVxuSoqdr5Mcs8OlRCUmzotlK5kLG7ygOMeEd+A+P4SxdzDslbJ/Tm6j8\n",
"bnLCynDF/nZNzzFFPk46fLKa+/Mqv9dVZ88dNvVlCFu0Nx8U0GBA4bjCbx5/BVDpY2hNg9irS6QJ\n",
"ySEFsm7pEBAQtlHQ7Fm/gMVx7mkP3jv9lweEuBhW4YJtLdypPDYlXzyuEDFFDHZwU1tNBhFlePhf\n",
"xDdc7AcLUEjIfn4PZ980NTStaZGvuivO8xDwrRMQzD63JwD4xrvWwqWws+TDPZbz0TBCtyr0wxTA\n",
"dn3YfofWUbaDgTmkO2fEtXjnPzUGvVct2Me8fCq9ZDZi2JI/R79saZXrNK5YCnOS0afIM1Ye5qvD\n",
"1rfi+X1KG1dpgx5JUbHcLek1tnLZg8i7PyBvmSKAMhc1wPFDKR6W4it0OMpjejvTz7KLJsCnO9Cb\n",
"z6fcyjGY6Rohqhd/VD/GkojZSszD4yy/KERnQxpuXRNmAtoyvs8ov1d14aYlRp1GrgC+RSDLnffJ\n",
"ZXa+/dfffhTFludwwjOruTpdmHGq8YxfXCw520Qv89knrEpWw6CO5jfvLPAWoy2RUOnDBHYBaCxs\n",
"9QiXzVb//v3+4gHbkqqwHXjYurfAQQMNGjqlHAAAB7VBmqxJqEFsmUwIJ//+tSqABOSvbPHSvKKP\n",
"i1ZNtTlHZFBdWsu8uE4s9OoVZwEAFqpzYnrEdqCX8AtJiD3lrsxa6d1u4TCutPz+LGGiTeDaxD5f\n",
"sW3MuWhrKqZxtkegmWXie6TmPSPsVGvTvRxf+hoq1dOp4+bBs1z9jp4wJM98kBDcef8SauaRYsSs\n",
"B/7/D9BgfYmt9wL/yvBBmwnTAjGE5DHYd0JNw9w2YERDebnCsqyCxfVOG61yHsAsbbD3jT6jZ/tj\n",
"L04kHWz8r21URG/gE7k8BxdlDGLWva03Z5VPNY8Ayt21BqCt4pf5J9bwwpqrlefPb50pPsUtRVoo\n",
"GOPIqhmDeG+bk7bL/Ysp/dryXnhGHTmPinqClfAmEJnESvIctYOaZ+zcC1ADj2peM3Q2mPug8acv\n",
"xFw1VrU8RyjHqCdA5sPkbi4U5FaU7cgQbuc6VZnT5ry9b+Is3n9gPGbS/1bwiTawgLVOD4doTZqv\n",
"T2rXBhBO9iRWhuuuTs2nXE/jFAP34FFpBoJ5nt7CDXHVIQj0RwHsnOMieEH9nSlV5mx+692NUjsu\n",
"d8qoE/DcfhGOVYBkev1NJfKZUxxYqxXGM2O9h8p8p0vAwiFVVmi4KAQA9prEDAwT4UVfdx+wlSz7\n",
"HQ9f3znVeoL4jct8zFL/9C69RhxoMx7zZuPtm5VD6TFJq0WWVcUU8tN4+b9x0QH5gD9zZLBfQ9DO\n",
"cojs/7/SfDbb73WMGNojkmw1X20eTNSp1Rc7sLXzALrC+SILVs1LBOEiMEEVi09cxpB1k6UGdFHi\n",
"2mApCKaKRcE6msKhWLqsa9EYisnJJDAtFhUTc4Lf7SbK8YT94CjRFJqGr6p+aAqoc0BrWkzXNXXK\n",
"kFCqqfc+jx9zmZFoCvBUXABJ8gTLQCCCoQfNiTxPzWE9waDJTkY222VSxDf0WUWdVn8bA1stgB4k\n",
"oXb+GXSH6LxOrgE1I84jU3tFyP1w7YjnKRU7Q9p8UTehM4PSSQQofnFzQtU5cKau8Q+U/VFCpotK\n",
"WyBuPa2A6MYbCy86Jpgeu+QJXKSAwRGQEHBotr73pi0WMQqVUNYrnZZN64ah31MPWNY3fnX3s3I3\n",
"pZL9GCNsqnqkkAA0iNoCEZqYAC39jLgjuiMbyYoPnE3lYwry3LfqbQY/tmKkuuEo8gcbXpqHBedR\n",
"H5Z+JfLOy+nStxkZgNRgnDomxmvLDoBrearjeHT8iJCmg8rpfV8dVDZnYFuhbfH/4RoAM/qGTs34\n",
"B9HAf5G6wW7XTESJGXuWyeIDxnzEpbfXawZj68YaltqSXTWvtYEVUGtEB4SRe6HXP141FECZiRCy\n",
"hEPpcd8ls/uZYJmll4UH6ZxKrt3IezLusT1AjxDq5r+V5XgUanjsGh7eN5cr+b077EzjWCpdu4M1\n",
"I911d2V+JyJBMFeg+BBz6Lb2BVR+QUEenmmjCs6/vohDgPMKeQbe085CtMH4lOKQbe1TlzGeqgte\n",
"LSKiV9GI51bKcURXzoLe1VnWKRFKYBknrg+DBBdWrtAoUC4AzbMPOhxDbxTsi5CslJWhAqLKIhdd\n",
"XmR11OUGuCJA3/r7ek5lLUEFsi4fo5LtiAhkjYOFY6d5+4TSx2pBwcUog2kZ5Zlkf9lcSGXh8m+p\n",
"dssv+GkhSnf0K0I2313HHHOuABGyH3dSv8VrMzNWoo4sTDxdDCUCYfFXl/ZVToqYVoCMkHWt2ASv\n",
"llYJi492Y5P6gBUw9mew8yPrBO2NxNX/o5BViHMHvU6dU9c9FG7ox4xNtsFuliWOqIr4v4GqeL6v\n",
"fv/L611CVT+6OpIVQ0kwpXTddm99d7vxfR1daS4+r/T5UQL0MzZ+dznOVDWSny8dwRh/YgRq6W4t\n",
"dY0Z/T2d3YA8c3NyBdOb4UO7zgtaitu53TvJu6aDFU2U3mI/BBCagsVV5H/Oo3RwHsEW3QZyo6Td\n",
"0mP2HpXW6nVAAJZNoB7trsW7Tb3kv7QBbw9pBHOfRuAYL0cBFY0X2a/3kAmUvY8d3SqiAWxYQrkQ\n",
"ItxAWF6qzfWylr0mKRoPByikEpsaZswldP825P3bQNF620i2arvO9OaS6+dAkcyGytKBOgpfy7SZ\n",
"uECsTydLJNZYmf3Xk1oudhgJT0GmFHRVvuNs2/UHL2XDFXq/nzN4NZFlgW2h2CmTd4vdtjBT3fQE\n",
"CbZRhsigtgbU+f1dc9/3g6ext4/ADPmRY57MpGeTg8eXod92TX6pF50l41qr3uOvq2fiSz56Gxhb\n",
"NPsvDuSCgMs0H1U9OfA3dSNmwiEzZUmIfeMZosVXdx2SlXQ0tq4sdkeF0L8l+Go+EvVWEjPhKrzI\n",
"LhLM6pwfEgEZK90UYN3h1PZW4Gz7oa1nR2VcKahUufJVMXOHs7wO5bLnetZZRL49dOwvNC6fzgKZ\n",
"C+k9CM2zEOwnt1fKzvs7/hwEadpihW2IZAL8e2jWNBXGusve7OKiADcqQiC4jLXAgI1MtPG4ui03\n",
"QyM6Vj6ahHK+MA3zFWE3E862YPBn9RHXyr20qjfNX1MKLWsvK5VWLkYcGCqi0Y3XSDNTBrLv/G0U\n",
"ICdTYru84JJN3P58dgIliY81uMDBP4yAPMFqxyMhyAkpFauuuj1vQrxMyciuPfsfUT2v5nEsSfKb\n",
"O44dknNkRuW+sAAAAh9BnspFFSwQ/wAF9mUjk8sbZKPksK+4ErZUN+3kSIJAxvB+iX8qNdtx0XXz\n",
"Z1mzgAB15jaRQHgcSPM+1teFm5OneaRZKQm6fK67tQP8wLW2m9aVFWDFgsw52npH/f4foMEVYK/F\n",
"lwWN0bGlBqpMdz+ZRDjcz/MPP6z8m/loB7OdM4AIU5Pyd4yB/hF9ZH2El1IExD4p2V4nGiWgVP6q\n",
"A5smHHIZaW21suYeSnsLjP7tLSnTkeAy02rCC02hPSsUX5wJ2iW/IM8UhrHoCXszA7Nx7NkAIB8h\n",
"V186xWDzPAlxwbs0Feyl3CnnH3/FBROU//zFIPJy32wNIA2gM27ZPEshNW0UqZ50/1hH9qHX4Kpb\n",
"x4M9z+096pZ/hXaK6f+UOTJbuvRzG7AtZFLhvCxR7J5OucbMTGwODiCYq32k1Yj+LaWXdyCJw4Qm\n",
"DoT5PY51j/16fLh1NM9gjdBOqndCO7VGjAFwU339QyyOUnHIZify7U5cqheQz8+LO00qxLafVBpZ\n",
"23Bp9tTNqHiFJRfWgQP9SLrtMvAkHHQddx+KGlj0OOjk9ii+Fy5hAGgAr0p5iRnUHShE3htXQW26\n",
"w8LS2z/ZZMxYfEEecLs53NdzNYKj3YkZHmFWV+U6NOJC4Jc/9AHKNbxCdry1C/z1RUnQ595GjgNs\n",
"QADBJPRjC/VCd7BteCdqbUODu+1ZWruTxbIdgafhuMlttBThKXQBMvaZYysAAAJmAZ7pdEP/AA0v\n",
"/NVnHEwIrpi1V76Rttd9AAP9UKLyfxq1d2eg//l4J0gKqWjB4CiS2u5JDhUz6yLz6Mhhsy1a6pQK\n",
"nLHxqkRE2osThHfQVezpzHvloBpePZiIuqi9kCbr21MwmnNGgmbD2SX8W3otADwPruU2BoiJNWSF\n",
"OTzvZrk1TrXXoLht4W7fPebhkz+8AlcVl4R5+mbLWx06BfAsOmadB/EGxY4f9gs9YX6DTUIF4wOB\n",
"ByWUjnbXcOgX7PEJWp1qceNSRAYlGxLWs/l62bW9IoZzmoobnT8tMhEvkFraAf72Wh+HJvN1vlXL\n",
"YKFtVekanalztYcD1HIUUQhp+IXXnV50okKdlyRl5MWdxDoYmMuGVB/fgE2mw+bGwzW4YPzfsx8f\n",
"dRo8gB2Ja21aSf820Irz4H3UlAeKVQIMcp5bWQQU67D+TT7w+o+VG+6mXQsXKXohO85Gdk8UFmFQ\n",
"LafodwqcDDNAsEY+xzlxcypxXJSbIWI8HYG/uw/1wC1qiRaXvWafVwK4sjsstOtz3a4eityx4SQc\n",
"khY5i1NEBbQjxccPV7lJelg7WrHingkgutBQRXcGj8r4iwfLoqKPNuz722i43aYTek0Hm2IPPlZc\n",
"iz/Q5QvRJ6CCLcgzJC01KabSgtZZDt2vtRV9lS7drIXTeGmEthgKHyjvesEvBonYW2ofku/Yzx3A\n",
"lOAnZwho/4BlzdlX2JgwyF8nuRnN5Pa4sPasYdBfWmZIbdiee3QOD87RlUPOS3xCwKnKGDiFsVAA\n",
"4isXBbpcBPiuNyxBroKmsCbe2sOYC7CsaQGG1Qn5CRBGmJAAAAI8AZ7rakP/AA0t8W/ReTG2VnPL\n",
"OSwuxBCABKBN5YLvyw5eYepYxUdp9gnpLBXTGyb6tzoyJ7BHGeOTTIXZT5BRZ3JW6EYshZWNHn7n\n",
"WjqgMpWxyOu3IjxTJiulaXZCl1szJC+qIkSFSqzt/3dsc1PIKYW8DeACJru6xB4GInxUCEna4Rjk\n",
"DPt5iT/Q6H7M+Nk4Lbc1lgBiHwk6fYCzX+EEvkmrFQqgAJiy8NO1/Y/rpbl1HqGJcoQ5OccSXmJn\n",
"2gysIMl2AjDdfZKyHpN5vdAaRibRHlx1ohdZZvVTp36OlvSye9UxwhpAKjQvCg3C/KSHF+ZdVEXs\n",
"34LtJplXxKPVhyIgUqACTy3oF+dHUqAddzEavWgho6YAIpyIoIR31U1DDxG6dnDRXHrPCK2cibuP\n",
"6051cZ31Vj4VO4PKDvmaiiWlD8XuKmDc6Le6tRono7O5AD3v5btnFPQwLND0Sr8WLSzKDZDyOPjH\n",
"8H7gaKS96iN6QP/dRcfwz2rJ91wJz9CiTQnfgDuiIgU4kwOg98PkqQfs8Ul1ZO0dwIzq6UaKQfiW\n",
"OiOGkuTg4LiN/1V9u3w1bWsdJdsvkfvubp6Vo1JygeoN3L7HrOe6RkmHSgZp3aRig4uKJ5Sb7wqL\n",
"AwDmoShQ/kziVJgwARsfqc1BuRIgBpGFvY0lKXGRHRcJ6cnj6+jaWTilxU+iiM1J0CfVFYabvsAV\n",
"xMOZv73xnkp+nJdIMggw/Zy5rmyMee/4b29wnVdBQp08ToHpjQDAtoAAAAhSQZrwSahBbJlMCCf/\n",
"/rUqgAThq326aIAOzbhucsJtuD0/YlQmmxUwePI2/nBmhuXZ8jW3TkTuB/2ZWZvTA5VHti5r/MG5\n",
"Pc3D99AWlqPX//EoQvHx1floeerKLy47a/Qjc+8ecC2QxAtZISt4UlDYlUzTdF0TcvkvE76JprS9\n",
"9qpvRmplqKrlt+rUIROJMCYgVaxFHjAsPuB7gEQOyHHKXfra0QpazelIvcZtshyzImYcYNeswk86\n",
"c6o+dhB1tFe+SQOp7aDbpJeSWOrFC1WzvyZNxHCirSo0gO7z/qfPbACkxAJJNyR5HyvXrUtzxTlv\n",
"RrW3vCieg2Y7jvQBfiCqS/WjRP1YTqlNG62/sBPpaeZstWg8SFpj7rHKPBrTT1N0ekIs405hYoUE\n",
"xPCozqJyQmZ3hOHOGyb2PkkI7XMJkhW9FSDPEP5sLDFCWA502Oh/k5p6Njza65BwOmo+vCSsOj/O\n",
"xIXAuJ+pC4/UTXyF+b2fDDAOCnIc8HKcm0NfvgeHZXCPoeU0xFQd3heGvlY7NQe0xfeRG4jYC8Id\n",
"6/GNPmRwh5KDWk2p/Yc5SpxpGzzIp5WPHII0IzTeLCJ2PhEjvcLQb4coVMx61hTmU/h1/c1L1jNR\n",
"ZwjOfKx64fcYV2GU/zP4OpkMwNIZ2Eiu04Rz/jYu0Eez4S2s4mplbWPVDY4UY3IId+MBpW9Oc6Zh\n",
"XTOtAVSKqa9c6WyvfxEq31OspdbwuEJrePOdNDVV93+1j3mAJ3/kwMR4VOyaKMokEJXPxG8eocda\n",
"2sG4NQf/Y38XMPaqvY79AYazVQm0bRHoh8osKnQCpdG6cq/87XZJzDnrhXijog1XuHPE83OIcJ5F\n",
"Gsz9OBvrO8Tp7nFCZjnnHqxoz3WisYaRlFqwc5uQdfY19Z8GT4RB5X47k2liKxGgeBhudRxwo/S7\n",
"wX6hUshdQLFp25wR0xrtIkHcgr/BSQ1rMzu0pyqvG1ECjRDiyagYxwwLcA7HEx264NmOYMfqJ8+S\n",
"akNWG3LtSMxV6YB8WYvKOn1WgZz0YspiUZnkBq0yvP6ERxteCkEDEnq9xcdog4V2eb5QCD6I4tBK\n",
"oywGUFCxZzx+3gOfuYkSKjsB7+flNRxmY0v4ubfu8ZlOHOhLLvVSxtT8BYiCLB9MKieUwgiHkn0m\n",
"/fCCqJW09TfxJazRDjsEHAeyEdfdCowecPVfKrHi3ZJcIUPZPmyKZR8BYHnogcDcQahOSBIhrjSR\n",
"p2peQeNkRoOgenf0c0/sBCgJERG6b1Mhml2QPpMo+NmZ2uRfshWKf88Ab80LNSBsemOjt7AB/l42\n",
"KNdKi5tGtA/Esxt5QN6ujzkBrYsCa//Urm4LDqiBmtkyb1id+jTHUD0ZJWF496EzFCVBNJymqnty\n",
"l5FETEPK7h5QwoB4sRs72iOvSnQGtEFSEV07D6InefaVPlgoiFsxMnyDy2pILX0nblNvnOPAiGNk\n",
"ssjA2ApJAxRECi8mrANaW608/3k2YxXMQ252CLyyp0qHWGIQE7p6lQV2EQJfKiuXQhTFCgk1e5eQ\n",
"yGGVwStU/Yv8tCqw3kWuddRFHFdRAgLzcHgyyYnSc+60sehdtPGgVG1keyAcRCTRvusByDJB9yQz\n",
"/WkN+xMSdWLMLRhU33EKZ4Aq8k+LErYJ4xQLNT7L8Y4AEIzOTjqkKDE/q8BwtrdQHdQLybaGtqgI\n",
"5D2AB8f5DpmzIoGfciGOaLtVHTFF0TzqwOFvw64o2uTpaob4ovd5EIvPMaoaFMb3pXZZ/QvNOqHv\n",
"hCZZOaHluf7yPcHOQhMz3+5bAEKQEeodozZlOQV7UzMm+5Ty6ybofoJwrsrijImbiQ28BQ9wBpcH\n",
"KTQZGN66lKQZmGKY29hEOx6lSeYXNpC/Ovd83rrdqxilb+yhl71gO7xv/2Mj9lA6j2fIw+0S0Xvi\n",
"oLY5RiVlxBLGqYgXc2lasaqpx/wIF4xJmgSypa/HuaGCbfgjAtgenbvhDMBHJWAPdmkxBujGbJOy\n",
"l7/+u5f6Dcw8KunhWh/RO+4QaBLjod7pRDQcSNbT2rQbadWzlZFemhPbTJGk3AYZjO7Bk9MeAGmM\n",
"V/Di2MtBQDzPcWtHLr0VuTfNynZGLskTf0ORC6gMqJYHD9Bt/BpbVkoxAwHS641Nq0IEoEYocMwy\n",
"Bv9kyn2pNxGARmH5/pW4/Q81inGy8rRIzTs+RI7Rriy84JzEgPy7rZ+yALjr8u4CnfLoOcvRSvd/\n",
"UIDoe+G12dRf4cZ+AX4EP7c6qJTIJbfrdAoL9QkBtGX6QlUgsT7mlo/U21HWal/f6sf7VksUPrOS\n",
"dxAsrpuoIwo71/4acd44MmPJYKJcdoFiOyHh9OQoSX39Nx5Tv2Yqm9vMV/YMQJcunf4WgxLiUvRb\n",
"pXeNM+qe3y4qoOxyMX/c0orEQcC4q7zuZeU272UDPvU/YvhIPnS9E8IdJU9rKg4Y8XLET3rwI/wb\n",
"9xSFo7BhP9Rmm0XP0YcadmPB5SgguK5joSwsunBLpW68ttpwU6x89Ol2NGb/0AQROISAomFIubQ4\n",
"s7MU6SnxsiFu0tlCmaVtc29KRQ0X/8cD7rN6jKW2PgfE3hq5R2ngof6fQk9/FHtFnR2BM4u6RPjM\n",
"6GZb8umPUipoqkWGUO+60v565wqtzg8vlxI1MPQW4ROdV0NBdGowXPtTRqOGlNiKTmVklpUycsHH\n",
"GhprWi1vB5WNr6YIQ4uxImSFp9V+6GmC2owP4HnCKxSqaKjKwzFJ5WxKsNxCIwJuA1tmWoddLY6O\n",
"DFsBYMRMGlnZ3yBHmvcFlOAyTQgnPlpRMGF6cFazC+bId9pzYX6fUO/j0JEsuFsIFR9Kf4v2bgyh\n",
"IaI1vl1IKolLAAAB9kGfDkUVLBD/AAYe60QwwfcD4xLzN/O1/iYdtBLA86Of2VOycf+jSJr7KAAT\n",
"krw9EdQ8yRehR9UwJWFY88yTqSk1MMEUae9Lqa9aYt0wTfCoTAx0aumoVyK05liJb0a63WmvEniT\n",
"fcmdQQUnUPVmxEXCqtiATEL2juv+qPdGzs4U5XF7/Xr4yPGAMzqwPMyUvSujToCaAfx4hgtJBiZZ\n",
"V4lw1BsxbQiOPiXGEu39rlj5rBAXAuhUGYIIap5j9IUsm88U9hbg2LRQZpFkVRm810OnmJFMGVZc\n",
"Qry0seWd6GXSx1VpnBjtzpXj34UBDJ0dlg8nv+Na4jP9x4PtwAmSKwz/0/1QglxlO6q4ouPUbvwk\n",
"t28M7utDg5NrZQrUH0JHwT120cJ9Ia2YsnUbj2+EjaLILFTEzcGjB7mW3AdLe7IkZvr7ySoH9lx2\n",
"lwELlzrcOD/Pl5zqrQxAa3D6x95l8DbpXIIj3n06wttdtTiDmo9s5REH3eMiueF6ju0j6ZtCbSUz\n",
"hKHt0c4OA8u15plFEkOgY41poW45qSRmZi4nJcNNPl9SPRVc5HtPhsTldZuyI+lrcptpfPf+bNwk\n",
"naZbeVuqRuIS9rtfRghDyVRLAnzwetGnhTJVscVCITGi9qC61TyaJenGkgw5bsqtW6W7Kg2s2gHJ\n",
"SpcAAAJgAZ8tdEP/AA166GXjzoIOifZRcj/ht3NYVSJbZABnI6d1BGBYbyDix6DHif4saj5NtglG\n",
"DW2BYoNgoD0ajE2aI8/E+xbhPmgARAJGonQROQ9Yy7YHO9zWLQSItudV1h6UxpEf200tSK1DJX+O\n",
"h/5DWGxipJI/FPKOTJZozsMyKT8xwRBMMLRFiv6vLHJxLBGPwUlAPM5lyRbyFwyDnphBgS2rNBuQ\n",
"h2lpUB8qini0QJMqCiB+sn94k3N64Ab9OXZA4J7g/RKI6DIDLIilRrVV/LSSxhkVuJySZU+Ngguf\n",
"Owq1evJDAKCV1BrJRFQfaNQDL10GewK0tq/C6Sr0G+FKcN7HAalGPbaliAahiPV092IjezLPmwo/\n",
"Jmxt4cwcvSg3n6xyRxMHY9t9RaGaNAHQa2DPTpVVZg1iIUggGYMC59MiW+/RO/Zx+K778hUGcjCw\n",
"sGh+lYAvPgr42fYvp4gheex4M9qDV/b7A9uAjnd3MG4U0ldxhHle13wJIKyqnFKprDp5Rq7d8rfr\n",
"xbUbqQHIilTX4YXkz3y17TK5oULBpm+Z+dWLLvK0yHoYuXmyxIk0usD5RvAuGxJAODwjaBG3I9td\n",
"Gimtc/AzBWI9tUFfWVWiVK+LpY9g4wnvrTy0XZ/AX25OKrJYcIamguq5kfKddaYSLZyaa6gbs/mA\n",
"3tenPpKtfPXFwe0CkFlcg+m6mu3QUIs6K2l8CW4BUbzPRHYNQI6LGI0QxYEMMfrEGMNhiCtYfWng\n",
"sDHTJs26k0LCFUcjzTPEZdauU9SQbp1drszJO8rMzK+jBgXEdNGGaF5Q4IEAAAJgAZ8vakP/AA1/\n",
"Ymjw1MtLxIIwBP7UKG/oon/fL8idTDr7fxlST5cQAQ2oA7ykIMt987HsGGj9zaF9fP+aSPOt9vgj\n",
"eUmnXT0bL4oh5bhIfspej+rr2Anneg18QPnhtezGn6FTjTKmb+EOQlslWHH7uyxKST37UOYhwXqa\n",
"D8bCeqR3RL0ekME4KGlam/LPfPi/S1UA1WYUQ6+KVbNRwEgMRFH+42VAZI0C73+iZUNGi9D0nycB\n",
"xDBdUjrCpBoHMUxNQ03HuCYePvirPzv+zm+SC/RfjxFPt1wmGQR6NR3CK+lNYIrtDWP1/PiMtXZu\n",
"ziM+SL3iVJlUmbW8K3jqj4dBFbqvVtCx62N0hcatswnjKqZICNj8/l+fG+fApoJmT7hFrarpqXuE\n",
"C7odGEh3EJSML9F03+oJDYXwPz3h7MANxrPMib9jaF0asZuVdGvaNkHdpBdDd18lR+tdzmCuQ+FF\n",
"yXjAedD8At4QkZ4TNqPDIzAjeFglhrhqMb6wTmBUWRPIXURsQMGxjL97GX3r1a92RgJ0M2hTQjzz\n",
"ZsGU8c5X9CJEseDPtRO2qesTBzl64ARNUqvzmxdJp7Sl3s64yo8hg2gurSSq463PC18VTEtHFNVT\n",
"VeY69SqEZlpc3rjIxraLm5P1iMbEqUwOhEqJEGxAzIRrq4y7wtnY9M2Xb9gWtsGYUuLtWKfxrBnM\n",
"v0EF7LSX0uMKzLhT9PWUdIDpzOO05mkWUvWwkpZOh55Z+PF7VbCqSJk7GDUJEOauUk9eB+K2mvGC\n",
"rnFHBtCYp8ZCDx0XwMp//FuaAFHzunPwMLW3xyAAAAgWQZsxSahBbJlMCCf//rUqgAUIVAB4QoU4\n",
"um2Ol8AFbThHlHfJZEdpPMv+/wV0Nc2g5igZ+n+8ZCkNLhe7UKnFFu02ibB7wAwdSlM/CyszzU5f\n",
"YqTWNhR4LIHpf2LEDAgV/EpbLiNAEun9IH01Uv1tjpc8CES/qFCJiCEkpR8MKj9dYhUFnGApvLpk\n",
"xnUnD1PxluCntvL9KpiwupLISqzTTvdyzkUg6VLe1VjmNjC/XH8hZwojkx6ptz7C1zODMBu9Kz5v\n",
"KZhzSeImTIH+8HOThz3yAp3ZlOy/IdrrLF4o3RS+ODj7dxLY94nFqjdvmSqDXtkiBw2h3PHlibhp\n",
"uFv8sScasm7ysrZkcj1svMh12OjCDi26tE+rGRGx/PRxcuOndmwAN9zL44873llhl/fp/Gvl1L9O\n",
"jhi3LplFyIOFyxj8dV9kxIbbO3RABv4gOMCfeH6hqjcf8NDWFDQXyN07LbJlUUnixPFoxda7zGXH\n",
"4W3LuNKkDNQR+3ZcEwvYqiat+qrHNAD6H29KE1SrZ0hJPWbdRcLCKXfFY+PVq04s/f4Lq8gtfH8D\n",
"mbsbpcONN8PIni2JBhFIueX67gkSxA2lemm9Keuwqui6JALhW8MLTHYfEAIvn85AWVMWcj8XOzpS\n",
"Odefgq6TKe0lctWk4TJbC4a58JKD4dJD74iDDLDQ7StEpm4la4Gxl4Sr4w8zpK6VWoty9BmabMNJ\n",
"9ilfBoxJUtmg6HkLe9ZbCWQM+lWCNMCaPVwSFAZrIRwQMQXV8Wok1MQgbM9Pef49Gfy4RDzMAQQv\n",
"sEFotglU2mBbRU+1NdNldsGiyhUK/WGsDElKwYIU4uoxqsecSp3w+kRNts803QOE++jhsXyXM/el\n",
"8tRE97/LcwK4miH9NL85Cvr595L7nhnxIztk2B2O0CrJAfc0+dtYxsM6iO/CkjdL7d2pDl/ip17l\n",
"tJVtyT7zgO5pW2BkxUPcMkjLCpaGE6rrOjSSXtKgCEQDh8J55AvDtGx9c7haSdhDrVYpB2gzQBG+\n",
"7unrLDL8YrnqctvGMNx/TtvrXX4BenA8IOJToXtpqIv0vXQNe2LjEHvHmHrdLOeF5dyiGgSmdDF5\n",
"QA/pocbkSk4cOMyMzWxSDoU/xCym9EUMAs4YxOVTBILLZY+MhSIqFL4AAk2xPR+SMI+/lOwg4J7J\n",
"JfEj80YgTtpKnq4v9CzOSR5bxYmhfcNDvknArel5XyzyKfzlgq5mW7AHZeriQCIJAGGkcslMTxUx\n",
"pnQUnWyyoTbXj6wr/J6ndDTi4Sj5zAk+eaFlEUpqa7IR9fq0DZAqTpgOrvvq0ym+h9Fx+mXjHNOc\n",
"O7dqOdBb1s+rvTaK93TsV95Dp1fGUG/nsK877EfxVpWWS43YHR/41oweoBhCkRPiVDL86M/qRFwJ\n",
"CxLqkKjyZvI2w8QEqlWxWtOwbe6nwaXJ9DaUmb0HDgfVua6raAQh9AGEJ/SBKFTGmkgRPIrnEASY\n",
"lL9IJ8LVJ49JmgqaJM0R2Wj8DMWOuVa1g79hOCxqC7dxGKAD/3+gJADfmHv12JSpunSJfr+uVi5R\n",
"7t4CcntscqyUmgYGDDnMpk4QDQfDzOhzahKUhXSyPGvrCVfwgSoNu2NvUYL1gYegAlWd0uhrKlB9\n",
"2NqcuExh3x0pM3as2xoCXNQTJ2qOUHshLjsoZvm5Fo1PJsOhz9tb+B/sOq13t72Oqbo5hNYyanKs\n",
"F9Pb/zmmi1QqMN7o9xKiQxglth9DzEfoZP4yBcaFr92mZke4dwhImpKpnrNbg/ypN1c/qjlNkGNC\n",
"Vccaq7IvHH781Exb1JcxwfFLR7UaCJO0CvYL04IFGaZvvEuniiBnxlBBjODalyNVwUQiGQ1GJ/pR\n",
"SGFL2xQ/bb5qyI/iza8iKMoiy7OU0RQVY0Fa9m7Gj3qhc9Qhi6gY1W7I66b9D+2uqLNv9DVubZO2\n",
"KYKl4thyd39m6rCFCc0/+VtA83QZPNofCblfhhN+5BHVtw0zgUI3e1uykoJd2971IOGC1B6sl9/y\n",
"Z26/Kn7T7/S1BlZN3JseLCE8flAyrnkSQcrGOVStcFUydmIyR2K3QI+HjUCKyz6/3pTmYbzPcDyy\n",
"szVdg8RvzvooTVRsXAD3eYmomUgNl4J1bUVAdY1m85TmB9diXZ35b+EOK7pRgKT5gKHlLnFiZ21z\n",
"yxXF2iNRueCBc5N+hG4U8SHr5Eoyx6vckfMCq63VCk68NBLOMcZUxyJ4pDrVXWURz387T6vk7BeG\n",
"rqLMyE1HyhzPAwaAxsJ693/zePZ+1rujGEIoCxquHYmBMjeSMNb9L9TWnB8g2FUE2NOrIw4UbPDB\n",
"GxCyjzEIBYC9aYfDaAjm9dIRCg+m7HwZlCA3yXkq9JfHPJkyonlIpdo7wMhHNdT7mkyD60mOzbEy\n",
"womUf485K1ItjuEiIqr4AlYaP92/g58mSIqKi9U2N6p1QTs8J/EzC/TXsL6AradGUvkhruHYJe8x\n",
"EgOy2gmchwaNu90ZsQ9L6znGN/exGG6+GlkNoFOCJ5nQO/O/LZK6sk2VIvswJJwn2Myc7o22KrKk\n",
"Ss8ZoLVw92mJIbNCu2dtVizQ5eRWxJs0JP6ioOTBc5pXhPtO6SWKegz3JONXfqsojb2N08d3asch\n",
"gNYV/vBDlkd4a+76OKceV3swisjc18ettpNPCnUFGbM+CY0uuJb6kSG1LwIi60jxYuS5KEwGeOmo\n",
"pm4hoeajTg540H/njhKCqFitDSn2naWqb6Voj2wSyjSOIcHS7qfdJJpaN1w8BI3hPTqwAAAIQEGb\n",
"VEnhClJlMCCn//7WjLABSibjCAlAAr8/TAlu8e6Y0OXCI2x7pXXBVctlEszpVk+HOvIKsqKugy5R\n",
"kft0b8juM3/PT0BC6md5lRpoh21hNr01ZWBhsSYQj5f6jSOiTJnFzbLqX28zAOiwU30xger4jEfz\n",
"/ZU6sf8bMYZ2lCzuIYXvAECO/++WznWGmuHUXY+4mnab69/Xbp/J0b0mefddlMeD9a1CvNwugEQ2\n",
"0XHntZm0qHFEtrBT3SJUAOpObV+QzrNI6qZaCrP7NIoYuLpmUMOzHe3VzGNjOqIwKamr5003uNay\n",
"loQqatV7Pqa+mrRAhuGJWVsrsiSMiy9ZVXP/5D/pbojIUERRuvG2Y4WaU1mEQnRtdtJeg633f9C0\n",
"YbHx4bntO6PHRa/iXA3wJ+kFmqX6bEh1Hko5JeQ9rCJoNuttZb2qz8WfYU8QomzvHb9PwP2K8imI\n",
"+YXUMvQz4DGXbfHmXROoNvW/gejIVDQmQKLk1OagvOEm/37RBOCOr741Aq9YKufgZiV50+q6nDU7\n",
"9kShRaNdiJb4ngw+DPsG4vRjN2e1eiiNvwOaosGyCszCXIdLyk+/+zFKoWJrfiT9Cb3hLkPuei29\n",
"ElcqOMcIxeTJQxqKSU0niGfsV4aEFhCMvoAegm4HuFip5MkrANzlfWKYUM+pThJInPc+I2XRoUcF\n",
"nQbeaffKnXt9wFj8xOdrWDNdV01cy4wJCjFjnnknJj46eNfeiObtNU4VnxVUEcoE0CQE+wFYcO20\n",
"fMl7gc6M6LEXqeNppcLkElmdfssOlh6pLYnBJSRfK3KVAHR0a862NyjyPfnFKN/WjzpsmkZR2st9\n",
"xj7VuGhzuahOfoYiLlRNpZxxqQrxhHtBTqsrzg86gIewA4MI2fE6iJdIuwKBHEEWmq/X8xUWGdQf\n",
"bK7APLFFnk60UDDIr+09oak9uHnRmKmfMLeSTcZGjfzAKIlpnAi8eN1fCPqj3dDNtR9T+9DtWHs9\n",
"L68QeV9pFcTclTw5ugmHy0+t3z5grIDqBImOkW4XqpyCGjcvtGyoDBCCMT+Aqu1k34AvXaWM2JJv\n",
"EVmEBl1v/WXp6ONACsimFMuXsDOaC2XitSJ4TBxObeTm4oqyhXNc0JI3Nuti0jbNQ85S4o1LN/rH\n",
"2r2ZyXXcIhorc/0QXLgf6kQTvnJzgqu8Tlh1w2s7EB0WO/3WB3x1Vetf0be+4dBcM5S+R/eYK9fI\n",
"RF4ceGQ8r2ZmTouy2XktX38jlSopu3gI/2HY+GA+wkbaks1SfRFnuNAfWJi3aI1sQti9cDuMpCJh\n",
"yoSW/1bj4m78ZIt1qLDcI37DAx8VC3jWT2/CND47+oBdhBj12UVISzTiIkCBCe7mhrUiHz1ulvrX\n",
"a8dftkYgFx5FFaO48/feEWzTAkT0zV/I/RI3qHRX+IIwCfyAIHBQR1KZaRMm/feFwJuSJpgkm9bA\n",
"q4RFz/6G6z5bn/gz0LySAhqUXUy5iTPbTtQRX0S7tgMA1I2PVUMLF3GGLnUV4r/Zszvz/WYCiIWG\n",
"1y+LMLruwyYaATEEVOXgVt9C/CUA0gpn8Nnuf8UOTqBowyxtHePNDFyhlR67uTfa0cXCw3Z4vmXf\n",
"rxNc4z774URK365ZxCfu6sxknFfn1oCcg7YMy5Mr4hk1ITNE39xsBxHh8x81RjhCl3mD7sXvb5Di\n",
"Po8Ez8LalP1ZAIKauyGtwPRpHLRvNQSTaGAbESfIk5ScOJCqiAfRbakgQtCe12cs9yYiU6Em/vRK\n",
"EvmOUjpLR4a9dzQT1ICKINH1OvPLIT0OexbZQHi8ikmTC1MEGq/SxDgA5l4clLSkZ8xVk+dj1lP0\n",
"xWSy/y7I+uKdvTgisbXuo5LKxei+G7mIHpYvIlFHum/lDuzs2g/c6rz1vh+czRoEjE+baO3bHg/4\n",
"abbRrxHR4xfB+OSo0JKBttoyMiLQuO7dJywBgx3R4F949ek4B8pfitVCBcRaYAc5tKLt3vU383Ru\n",
"9U+g9ztdNg/LWichPgUx6Zx8M42v6jNw5WTzuMoQYLNcl+xNwlJUpuaPZDEtVJJ8YF9JR2M2dTHE\n",
"5S/kwUz7eQBucxePjfYux9ldjt1YA8k/QJ1MV1hzf/Y+T1kZMYQoLnrz0VvvVAkomWJgjwiwcaV0\n",
"7RDyki00uBqzdlfD+/bPr2yUybQvo3YLTfcTmpxZczzYCH/ddqUZlSw40QNzbz0Q7+bjb6kmYove\n",
"dsG8Ufvqtqiy+Zugv+PJUmhQZS86xo/eOslGdCgzHIquwFFLRCn/q7ytkS21kLCQ+9in/tR+6T3r\n",
"F0HCdxO7sLnXv5LD/F9lTWv50dhXfUslcRAnoXoaLSDpj2uoFMRbizmwJi1Z7Oh0MsoMbQbzEQ9v\n",
"+A0yMqOP12xnl4/eiwivpdBiBektVhdRGrs9W6D31H1DOxEhiaxBMn8woVOKoGm1BpgfOUxPJvC4\n",
"KTOFHS8gTW5zDzEK/TfQwNl1SVLBYXAF5+pNITirRMASoYtFfjFeRMLtVjdLSoSKyr/+O7gct6dZ\n",
"BgcjDjhA5o8lpWFLSSnrGIP3lxKhz0PlZGNUmv+02ZvLGR8joL+970oEkg98tZUYfAXeBoT/AEK8\n",
"vVA+AbH2Xa8ZKaI3gNxxLS9c8kz9oUJEKg8+0jaTZquqxIzf2/31FeQifXNPM0Mhha++KK41pPkp\n",
"3+skMP6PRFkm+2ouTErSyEuWPW4jAnPuZn6FzMhI3h9ebCuEDKjWIHIMmCeB4WXm4pmYCbsVNw0B\n",
"lpzWfZ0S+wH8ul6g1kJSAAAayOiZEyiT34Xh4VcqJNHrY2yTHDHMWcbtug0r/BLcwVDiRfJyXFGp\n",
"TwAAAkNBn3JFNEwQ/wAGRYIOloAACIJjsQ5oSDuZezWoDOXy3Ka7YbhwrBnQ/FK5sI7pkJvcIEF5\n",
"TyjQgvuZpafSQiwIJlWgqCcYynCrO29Lh6LsEgq0GQo7j3fumIys1EahOfV8N58hcMEC3+B1gzPe\n",
"nyoz+EqxE/uHbDBwlkRvn3xFIY20M4uvU76naqX4azStkHs1cpifz7+L/ZZsSmeE1V0hwteCQrDk\n",
"Ku+RvJoF0H3SgRKcbVrQ48AygKVWq8vXc2l2nIvRle8CnY/bSX7HRGlzYaFP8oY+WAdV47fpFkmD\n",
"/UE/2C8aC4/LrEduC/VANwg47tYKCrpjbSbtt+n1PUduLFW7WgcndQk1SIjqKKOYIINb8tHyJdRm\n",
"sSbPMf4hPo2EvbHsPYybYoabvIhhSbWU3K9nCrQ79kbIoVY4/iqiQO9KmvAtv3StsAfOT+4OVRO7\n",
"tAtWEI36wMw27hHd4A2WmT85cRlEvG+OR3P4ChT2XtUlko/baKjl2sQfjb8HVwbua7A9iEJ5qQD4\n",
"mw/yI2fFgfgJM0FDJ8vH51hYuWwLMH7jdEoWKI2+dypsLxiG5rFYzvCpDwb3APwjBpl9o+SP4l3d\n",
"xcQG8nyEqfBDcGgTK2mNISBHJCjFwNie3sXvT2NpqkwpC0T9+tV0Q7ULpFU3HAHUEvIl62++lDD3\n",
"MWlNfeaRs9Um/v0GiRakF5bCs3GjxaHF8a58BmnY5yb2b0MzVQtYR8Dz7NSZFaOqXn8VJBX0pkx/\n",
"aYkgGms6Qb/a/p0oD0gAAAI/AZ+TakP/AA3QU5utWgA1diV3b5jH59LqxI2OEf+zvPYRqP8/zeYf\n",
"aF7BL1EjFJB/fGD9GXrFlzCNoulk81Hnt4wTrx1nxMaQxCVgD5TWrJ70vCW/DQ456G4Fo89bnkW5\n",
"EW0X+8YnS3kwnh8AzuwExP+08mVvpTPSAX3HTvoUGrzXVYSBZNQPKfVoDE66YOE4GYtNrtwuAy6h\n",
"drwHRMySjTxiicvlrQWYVTwzKXmTI9UBogp5UflZfLEOfoPL62G9r8LfXSEvI1LQVXqmElqrQQ6g\n",
"LcQQDO72mJ+U+o4kiwjKedAlowZUN97hXz9uwW4bA9larcN/tqPZdYY7cX2gmYA2MZJitlCzFq8q\n",
"XKgx8PGkvyS4QcL7GrMgsy0DBa/N+EwWGbA3Rx/IHi78X0JUnwqZd7jR7cKR5I0jo3oLSEdCzan0\n",
"kwwT1NTCho4l1D86vCXuBqhuZcrgXrTuFZNH/QKs9k/uYwcz7XWGoRlt89D/+fBETXcLxrKfOhjA\n",
"6F3Ic/WIO/fuNKR1GJgSFtUj+vsga0GHdass2Izt6+pkbmyphUqmxAkuBqYxPegkKbsCK/aQx+Zj\n",
"zPlMSj5W83shAKWvdpl4VQmr9+wWk4qTiKtd01NPK0rpM9VqDmY+/1U3DSCYFIofqCfoCnRZn7ut\n",
"B2DJ0zkRlpaTtRolDxtzxsgVrIE0l+ev+EifEa7gY3nK7B3EFqnxxzntTsuvGHGgI23iPlQgyntk\n",
"NMivf0Pm0JgJUvxN5Hr6jHiTXx/zXwMAAAdVQZuYSahBaJlMCCn//taMsAFKJuhSiUACylt+46dE\n",
"sPYHuvI5WgGEMvQWHeESwYVDU6eu9oXpd/nD5KK3DGf7XCAxUVDQ4z59rnrAk92HMmFkXhdRq5Lg\n",
"nri7IT7GE094d0vYq3T+6IlwcsIP8L/ZDaUr7y5bXd/bjNK0AL9PQdzMPc72o6KQYDLmdxcIwf8A\n",
"5P61x9r+bccup4+7i6/Kb2lZlicE+EmyFc774cHWYn21yEHmN3/MQOKLIIrHjlwAEL1d7eQ8PZQo\n",
"bpSrnZnEWk8OiIo3fERQQmKLUnjpyPYVMnGM1LXbmT25uLJJaDosWR8btWCCkchVNpcJ77BI+0YU\n",
"K7bITh1PwI5143E+6r7/MkagNbsGDJC6l0vrJnMPsA0BbXLxG+zibY9BGi4rwLNDtyRCGoVGofa7\n",
"tRtYwaZWFzgzgl9CMLE/xp/C9AvQURPrbcj40PO5L25ZSsExDbGnyugoLDmG2zRqiJGUG4D+Qha3\n",
"jdI6V/1Ym15mmWKTgSErn7USQJlZVVYxij4U/yCSDZa3gH/Y5qldHtktOTVG1jYzypNgqxtdGK7+\n",
"Uo+l3JQKSDouQdNXBfUvjssC/unIHfFG6Y982WWXEkU6eYzF+f0EdcKAtx4iT7vJt7b0mLZawKIX\n",
"X4pZ3lL/yH/TMn8THSfXaInKjQZ2yQ95pf5Mzkpie3Z/LUydsrA6srb4XYgMi2RYtYnEBVcxroWb\n",
"iao5M4IyvRYCmo7qr5xS+xq0FoeEe6s/PiEkPPNH4bAL6OtHvFjtlSFKXBtu1PHdxqCaRk2QEJNm\n",
"1UYsW5YlQE09EOWQ3UNRCfjXFrVPLKXMMOpRthyaWzdzP535ebFLu5WA9PdVfTbH06x9qT2qFDbM\n",
"kZLVyWKlxre+jvQ33pySYA73n5JDKZXOPmnfxjFRSmxDY9iIO69X/3rvBTUwFnd1GCFpMuzMaH9q\n",
"meKHAL5Z1JffwLrZigpqvA2wNsK0+Gcj/BhXSvVU7AEohRBrZ3RzUHtjFuxRCtJbtepj27adKRKE\n",
"mIEquTKBV0VYQMqqQnzkoOPDTEetkXQwgAuATu3Dejsbmc5TTHsw8y84ipAGlP+/3HpyxIkX4/ti\n",
"uDDrd87c5D6wx1nKqkva8IekO9mXZVofetPyXxMC6lk+V+YPbMjrwxTL0qOP2f6zhzgTIXa/fYF1\n",
"rR1QxesNRvCSUx4mRd8KdQtaX7U7BTBWvZLo70gMn9lki0XBYLAqojFRHhfbaBpfWUT2CBcj17zl\n",
"P4NPdXBjdnShmCZiuVcXI9k5op3qfsJXtrmyTQwvPRNU3UeQl2OCXIyktMTJb5NGalUU8xuwCDLk\n",
"u6GA9LamD1nsceEzTzP3bShXskWhir2WKc+ogonCIGgeVsIY2ZKbpOSJZ8NLQZ0qzlkL7EWMagLM\n",
"TyO+8FMmp7S+kKNcRR0N7kBIsYeUaG+3f50ETdCMTlJh2avQsovlAZyAX+ebAADiuLpwyjyUKNKO\n",
"3s7TTipkkPEeRKT1eIluvm8/cK5yzLUe3BflSg994M7es9MP+HW3qvZ8MrKseTDHw6S55QMStQb4\n",
"4EttVW8a8GgUZqFI+Y1rxu86uNjUiijIk/0zKwi30VG/m/H9MeNfRzOFt6K8huBDi2zxayphWsox\n",
"yBOXWgaUshVERzN468+zeKrqX5xNPLtQH64yeu3T/FaX6hzsVlfm8+Y5UnDh+Xxao7aoRXSL8mQ+\n",
"esgM9v4luC2PKWtXCjY9dU8IhNYNHBVdpkxxTFbOEKrX5GyIalvQF/ENWH0QBVCsw+jpDJ3EzFre\n",
"AxUYMy+wgtKIdoTU7x3eZeGaHAR19qXOcmbzlro46CVm4R/oZ2iiJ0XI9aiR28mMsHCbIHGpoXop\n",
"gOdbATXzKPs/AsKW1QElw0WFqCXBo6luvri/9UNAOwYMuo7eHQY/RyeIvnspCxcFY6yaHO3Y2Y42\n",
"wQBSADNpUV8Y8bZ5jmnCwoxmit7jcUMkTqTSFqJ/Rej4V+WMd3NSLtdbj7UTtdmlyFTYxgTNTCvS\n",
"qZbP8B5iXgYlWdYnZkpElsHPGczFDEM4cZRpjUSGTrYyqsWq4ZU2GX1D8wFLs3l7IcH7A+tdz1Ab\n",
"4FG5YB7xkfTc0a1Z/fBDeNYGyxb5KCD1+lv/92ejBThyYvBE0VuTSSPvS0PP++AhCUwE3oUGlsDU\n",
"k3HJ0bkYiTxhH5iDiv+HZxN5pYw1AFwQbPAkPXtOM3aMRBJeSkZsiBnwkRF1xL4GkGtZ2mTyMrLr\n",
"ewxKTlWXjGsTH0sJifJQBSuVf0PJakccR0G552KJMiLgHxRMtnn+m3zuayBG5X3m2hcQNPjPjIZo\n",
"9W5iROqU6HurQEBLRQX1dbtgbi18oz2gMhX/W7++jIZbq7hYt3tlO8JsNjR/z5wZyAjQxH94RB1c\n",
"DNPqXQBNZq19MYF/U65GcL6pC2EclkuyPkapgP1Zq6+zCfBj6kd5/QYqreMAIEGXDtrQQY/64WWm\n",
"PciQCXSJzmP5loGV65SbQvV6M9hxYIEAAAIrQZ+2RREsEP8ABkbrRJLUAEDexx1f6uozHrOmNHcW\n",
"nGS8KLdLSl0YYnUdvuWZzoQxchvkhadzBqbJqQnRnm/26H1K3uVb53R64GfDzMSSYLXWGcBnuvmr\n",
"b6a33BSSpZ5/f5D5Pac+ree7XQLlEuR+Bv/Fd0Z5ReAzsEtoETetvqZXs7cR35fZmGq/ZHo0x71z\n",
"VhNWAMoJ4XfpWiXHt6Pp3OV17MJ1f+C44DgV6U4scw3bm8TpVoc2LtbmiEp0yB4UYW8XzVkMcNMx\n",
"dcLeaILBXxkJcJShmbKEeMUEVl+5Gln16yYqis7wQZrCWhJWuQwWRT+O1uXUHDmlcTW1elvnbS5P\n",
"87Z70kvhfAvOL0ubCu46qH4DF1a7GjNVNlJwPsaZ27YAbuL4wyu02ZiQCXVEIOVcS0zAD3fW0v/E\n",
"R/38w+I2wtuVKH4OnLEaSAhAPcr57pPqLuWPA0RUbYioCvvIPaCnDTxtxsDeLTcHlMN/NFtHgmmQ\n",
"Tm0er8qi/Lyl+5tohCNC0EfHpB14XQeFLwjvTwMxO5r71wmNVeUCNRvSqSOx/D8ZGI9dt8wLTakv\n",
"BGk9PY4l+F7ZuMl7JrUExivSJHCJjxOmV4dg7K7N8q89ryxEy5VInErwhp0JDbtVMOhqyEFriBI/\n",
"N7HCBi5TH5kZbo4R1JOjGMk8QpMvvejlT6xnuEyVdgseVCTQUW7tpV+gaYUqh1O+DCluzdGmFklj\n",
"GAz39BewHwY48GEvAAACGwGf1XRD/wANqNVI8i7cvD5G0K0SwrSkqSpFgAD/4RoC1qfhzrWxT2hS\n",
"cJTAaNLF/9JxLemY9p9zpCuAxWQvT9F+Fdnkqpj0BE51xYwQcR7CshCERzpYh6oMdyqrMVOBKk2V\n",
"om0GsBL0/pSMx24vNLa13IRQ/dcTMj0f/3fy3vJD8IB7uDfxckCul7ol/dZl+W3PouD57/Gfsgp7\n",
"m6y+uZ8zIOF8qKE5DiTDJFpD3/VKYwsyC3o3t3oQnqGRUSjj1rotg97PWQh7IJEtnIoiQ9sO9Wvy\n",
"idNGc1d7Wig2FYuyeMARsMrY2QxrVwOIFUrDKmh3C1xar09ywaDP/prl4TsMbHOiAPSxNLI3IARm\n",
"5ZkW32TtpnyFEwoWWu1Vp8Ogite/FXWCEJA8jpVjDgPp9TTP4mSBJczypBuR1URGVGXoRdtgzvxX\n",
"QLCUGfpIS7Kjen1GBPCgN3w1VQWZmKk042Qz1FIGI3KUTgNaJnXC5TZExgKsET0cFUlXINbN4/sX\n",
"+a9nENlc/oIc5FzTar/EAg1FDAP8k9f7IRyYwElsPY/Z+DTVwjrpntbDOh1LDhz90suPwnYaYW9a\n",
"p2H4LWRd/j7vCHHPbvxPOYNEYYzNcw0IwPKsFa3Lcs5DeKObko1kvvyLljCRgODoxuYjsSPUjx/a\n",
"31j8MvyfGnaJyNgTbS53f2rJcSjOQIzFOIyZS3mQkt/dhDvZcKQ6sOOBAAACLwGf12pD/wANz2Js\n",
"EZACBudC0xMMNlCx+DPIJbO/mavXmj/kL3Lw9B6ZTWRbS3wB75G4hsBUGNOxZ1egPPBL0G2epGUL\n",
"29bMxe999YtFcikC7sKp3lgh+aeSV0kP6vEsuHlVRadGYVOlzdoB8k9uxm5d8/R1Ckurz3dy2Drg\n",
"iHLsV7q+XG5/1wGyihMzU/+AHPFZPrIFkU117Yr0nwoWzI1wzCbfJ6CdNdawbEj8+nrFtT+ab7X5\n",
"Z5w/UQVMSCeMLf+GH+BSxcPCdVmzV9t15WqF9eLy4MpVw3qnB3X++acP9GW1b0+P/9hlo9QRusyq\n",
"VRvAZUhx5c2CE+5q8XsivTxlruGW3aP8VQ0rN+va6Z8yAUbr84vE4PuoH3Ky55aq5UBZ49zPcdBp\n",
"cBKOpDoJ4uDfn1Kd6/acI5p/c2AX9GYleA/XA1GrD0R+YMeBk6FrJBrtucUh3hPeoGSOivl3Vsll\n",
"H8Lkd6SnEU6Y7Xn/dkwXlYLjrYNSN4OpVEckYJSVmXGcs6Am6QEe1MPPlVPyZ6C+1KUpJF9sl4gV\n",
"wFUf6fvDv6s1DwCuYAPBvTUK1bgwP816iPnvJuYQj2SR08ELAT734NCUbqncJrWH6gELDxJOSxd3\n",
"Y49/qnnTx0VR5YzJ8SDEBRFSn+f352FcaREF+IChio4G78kWJQle6SR9qKPLCA53ZNQOkxNg84in\n",
"QcA9tFZtvX/+Knu2C4rEck4gZethUZTRqbg8PJyum1UkBu0AAAdJQZvcSahBbJlMCCf//rUqgAUI\n",
"Fthx6yvQAXEncphnBspwBsrmgoItxInhhjEnEI+0GbXZ6Z1pQoBPfBIDk7EW49PdvY233P9eo5On\n",
"oiM9xIj0bHz7r5NY608A/JqeM/3N3AIZ+2kq2zd61NprarFO50cNLMaU2QVEpzBglKF1w+hWrOwS\n",
"UeDb1rlsgZCSaStS4Z0NE7YTjh/Tm498X1zMxa41OJSBT6MbA/YymAxad+dumZT8wUoSJzwf5H4k\n",
"3ix4aSUFkdbrG9opq78HwcIEbZBpqn6/aFsW864GUglh/9bSBZxl1c8u19EEsZU4oBfWMq6Kk1Js\n",
"0BfkkrxfisGB37HI/858oXb8sqjWHXan4P3fIcdgEZlfIqipzhS3JF1waw4DD/BZzaxENUCyJf/P\n",
"G85BE/2ugSvT5ZdAwQm8u0Gc569l5zs4jceNMtEyJvfqqcSRejiGXrh90MPGwCm1RIZ0rqR0vG87\n",
"vP7YRQAu5KVyLgHlGDlmqUJdN4EPzMzMUTlVXpuKFVE2rax8Ayn8VCeDtzfdrdwXZbhMcnShAqvm\n",
"DsNh3VzE7JcGKBcxCEy/HecYBWeAUg2NwO8n9fKzXM2HIcGXBAUad/raYeRrwFCZ4dPZuCTxDWOX\n",
"ikOT8Y+L9Ko5LwpxHftuhPkD4qPNnJFcWZUNII7QDiKeIlFALy7ud5Ro+O4FTZC2TLRsbdr9wuxu\n",
"QQuMYvsIjy27frBbYCMvD7AtS67XqFeETuDRwYdqvagt+R8pIpBnSk6XZdH7ahtoVyqD5K0Az51o\n",
"hka6aHGyLkpNXhKv+pZUZL3M6i5PdcsLxdB/wt8M9/hcARQAWnMbf5okHBsvgsfkXdVUpCLQyoml\n",
"hjInaOlu/lGzaPZGZ9Sb+r8eX873nwUpVHftqIaQVDHUdcohYH5KdaWz2JhbeE158kYwDdWKc8KC\n",
"zLK54sMqgLSI/Nae1SWin5+yWst0srkzZXFsrnuF2FiFAHWBBp8CLuWIWKGjsmVwc6ZWmW/bpFTS\n",
"z7SM1i0XOGWMxdTrXdWIGjjzGd2fSiemBWY0t/WD+KN8gXO/E35YCcv79Ox7kLqtoBTDqskr/cCp\n",
"4fMFVb2bBiY+s34g7SSf3fRSjluaaEsDS7DRv8gOPDp0IVnmb6xlCDnnEd+EEa6jbZLyWJloppiD\n",
"IxvTP/y26ZF/DoJWPxp3zj9+ojKIMRAy6TmtBStdADKSFifeCF3lW1Qp1+HzSrXtaWk8yIOF9HjB\n",
"4dh9n9xC1RapXFx5WuEySVBS087ZYTwD/2z4bKTYIQM8JB3Spnj5m3UwH6u3aYSrobxWXXeehab5\n",
"e8GIqdXxjB7Us9TlC0w/PzbS62xZ81fMZwuSEy5fmXRjtkJ7K4/1fEsmceSRvRwAHI0mTnEd0mez\n",
"POAieTTYGHFffyNH4+3aENmXM780bswvgc0b2g//u++9TdGcCodxENg6GbaPX1bQLE/t/aGZlVbU\n",
"ivt0W9pv8FvSD1QjP63tfyplFoLTyUXltol17euLFMmJKxTpaFp9jaHqMUa0q91W1LkbHWN2x/Xk\n",
"JQefs+T00BKwd0FyiNRpgOYJ2nQ/FqSggsRUtQEajiFpXW+oknAHdjA5afCvh7Q9D3vEK/H86RTi\n",
"hCs+2Mfz1XTm7G5hgmbHJ6Igmv8BfoIZ1or6db2XvnZjS132HCoF/8+FCTH8gwRzpEm7CmPP+/fN\n",
"BmEh5j/4vQMseOww3qBezdytIlMH1VkFjX5KiijnB503qEQoU/k0X16o55DdSzoy4TXFCLoEG/uk\n",
"nxuPkG0p2ctHWjhDRtOgvi9o9wVNNRnKahdDNQvbN1QRb9VAJd2HlbTG6FwvfzEH4lazNxfgaRp+\n",
"UWhiEdi9yaFnZCtT/MRBlaK/MyGuEiG7eG0cmb+GY4XCglWKKBBQer3QVVmCGEpQtJsMnhmLvlHP\n",
"LoY+m+g1K0g6KDBgRwWEQGdlKzS9jQuRzbV4R2QY3EGuOmZbaNttmEb4Z4qy1LZ9xEQnd9ZoFNoG\n",
"vLmOrW9rz9AECp1H9L45E7EP9A7Ax58hyrF/lONoVuwF4HJx9tGlPh8VquaBwnGITImuWtHqB1PE\n",
"AlwNy92KR0ss8IyDJlLJlGF/V1Pt6dn32/CyTf2TWTjigWkj1ur/YUNkM0cl9846tE2pF/cEYIJq\n",
"oyEfAyIClGOjgDD3CNGYPQe+ALDaIxnuhZSbM+cgTlkNXT8ZQi8p6F7FXIe+aViE3l81lhp97/ZZ\n",
"KNWaAJBZampP3KclOjzdTytSpPBO0ctF8Mt5f4QOL8sHr/6FKRvsK8Q9ZKrS0x7QELRq8R/JCxFu\n",
"z8e6hc5/g+j4UB0ttZdibQZ+8Aum9V4YspXtY/JfryXdzeIR+h162iL4V7wUYkzG7Y4o34UwAeqH\n",
"UdDM75Xhtl72Nk7O+bxhiL9OoZsT78GYucIhJymC6ylK63MikW5DMtAxtmRPFv4DOdW047/9oo+O\n",
"TK2mmVu+edp8ZtIBKMggJPsQM99bsegAAAHZQZ/6RRUsEP8ABjTmp634AP3z5jTB9xP7X67UU7Y0\n",
"KZkwWU+n6tnYvWTos9MaU724ZDi0zBH0CClmt6H+yvrRCOPiYW9vurCvlB6a/CppKc/7bNpuK2l5\n",
"B4MPlSP9tDXKnWulyg9LiDF66L3RpqmefVq6Z+VdxhSdossBIH0xgAU4G8Hf//e/Nbaevh8WtMPI\n",
"MaaCIlRX/TN/C2jnSyGmaQM20hloowhQyfds4ezBRzXZ3xl21b//YnRCvQEGz8VnFpaD1J1QAFKk\n",
"oeX8VQmQyonAHU4nPt5ckwgo6ZGvv6lMn3Zf7k3dXmL4qL2sfvk1MszbOKLC29HO72fb3GcKb1mr\n",
"4ukNc1hNzXebS2+n+iOBFWAjJ99guXFwHpuRhX8W0g5AGUBAR26j8C7p54wy6ygcINBF0PjNDg6+\n",
"vZ0jafF3JWIcxtlmfEWx7Urnj5yBwnz0iY32cAUrXxxY02/h8f5Q0XL6xEgNi8K1VJIFp/UVL19Y\n",
"O+op+sU3DNPqwszCgjKklgG4BDTcHIZ/YmrWpyuUuh0dhQHqxrKCsjbYDE8Ruzxv8zEpiVapvmyX\n",
"hwe8sft4oKPLO5aZzUEB7T3/3FU3VA9+3PAILKjdXx5hYPhjOeCz8C2yUEEAAAIsAZ4ZdEP/AA3M\n",
"QKOqtABtVs26LIUsbT7z0/vpUIaMplgPDOelLlvnnKTXwkiHc+4A/Yeu95qox5o8OQbrdXe/K9+t\n",
"l++VvpFFE/n0p8649bAL3oPAxSGgwFHok2OKmSTUBuuS4yMtjyh9HOXJDVmAvf6lsltdDhkti1Kq\n",
"fNrVhCnEpgFjsLAo5lZaFqY1JWnjBqJ3oo6zNq3e+m9saA4Q93ZSPyYXPpP2KJmEMQVHlA/g6Kcd\n",
"CXKxbHYgABAa99x8tfdgfzy6/jxM390aPwSYQqWEmzB72jBtarwCa2owTsxNaadXQrsDzikdBTi2\n",
"vifJftyxqrDk/HTsbcFeGkK5yUtzkcZMZ0Z6cG60ZpwWRqR+gtwoPBTnD4hIkQojfDqqy9B9ukz3\n",
"X2cd9rKMzNSBdeqYUK9KmwWKMbPVAu3rnhDlVagxd2BlQiJAwuInztZgycB62mH/22LDKdaPPEml\n",
"KU2b+MQTc7DXvG1T3BzvoqYESrlzlPKrPU5ATaZ+97VApYj0zQfAapUcR90BVk9zSmOY3LZMTPAf\n",
"tInXsbWZc9vk29M6vmIIGnaiLNZPbCP/S+3WYYBgLaRmG8epjTfqK8TwlNYVYoVpqKJn7ieORY3u\n",
"rkZxK0GOqVwDDk1PU4vBzQPU36HGzejD80zlgDwRVvxqNdfuVar23iWkt5TqFuZWtxQ5VCgt6PYk\n",
"YD0Q47SRsvo28GJrWB0aV05sU7z/lVPVsXX5AkQ+4Y7BXgAAAikBnhtqQ/8ADajVSPOkNTvENL2S\n",
"GHN6wjVt/0aADUZ15zwUNvyTZsA9noUvaArvhRD0hkRVbAVIJo7g1GpzOKmxw9Tk7f3Cohb9aNy2\n",
"4H9qTNbQhOaqCFGhnSPEX8AJgNmipByEmHo/bi/w1r2PX7rCVTgMTjvWXjxUHbbfX9tdc8Pwhd8R\n",
"tKkn/uy+n82BrC6TJLwFzRLL+FCShBrPGv9VVjxYr2LtufqBCZBWi3DezwUFj7YsYTJkZygBHGYA\n",
"o2fj6E910mNYQfKV4JatiIOpiKq0nygPB3QZ6VzOe0BxKl23IRkfLtb/+jcBn780kCND61/vrHeA\n",
"ZKr/qsauTqm89i7lI31o12vhRLkmkU16QE4cWSQJDg4i1VHH83bVWFB/Kcb+rtaaD/QFJLfm3Uj4\n",
"27VWFVitxok7Z5MQnOikFPSzatkk7iFKW6okB2jT1UPRfih2hxCghpghWKNTu58QMBrrp0mkUsJa\n",
"9pVowU/pvWXU3VI7y9eCsHdIqO8htWloJmsLuZIQlX9g05buw1t13eA0P5S8o5+OaAmsKBZP9Riv\n",
"NqOTWPI4/6l3VCNMNVDSJQjW8SuS7HrAf37MRwBOeKa9cBc/dstISr2WgWHZ5pbf+vcP704QVCiP\n",
"c0RDymnSZm35LLQ6nSojOizJxyKtU2HD98+G0DfH4zgGpzUHdXbS+QtjcJSlukcnKSQwJhOGGW7T\n",
"dxS25VnOIyvM1ZzdeKvCRNc5fAR9AAAG50GaAEmoQWyZTAgn//61KoAFC4n+kCkrPAAmRzOcuwCa\n",
"s6BBpgzXxIJNQsTN6r9e/iBhb7RbdBfdJPNrJYhSSB1s/hZ5KgYse49hGvJUI1tMMJh6hFxHE2+L\n",
"FgpBSF8/sOTU2NaTaRJvwTqRlMyv+eeMtl7apho4kvpnnunUL5zOK4m+nOOjVPuUh029vm2KfDws\n",
"HTv1ayLx1fyrZlPH5RlpKOM2P2Fptlvonez9sVNk6RxBB+LV9/n1Ej0DSjtOIhSEE0UKZPldUGJ4\n",
"xHGbLBKjAOXO6Ka52ozLJaVFU1gP1RHGD0Wmwfg712XG+w6UG6LrFf4uAPiUZLqfT56fBygWAwpH\n",
"4AOd7ZdAEivStA+6GGNz3kw3mybAf8xZGvmr5uQx/CsvunSZQ6ONF/nO+xrrUI484XyMoXGEZ5NB\n",
"EUlsPS1fmPOgu+ubhm0wKlqxiBfJYjfu2RTX/6rxl/1bPUz81n7X4wjCzODYGicvXcMPkorTV7g+\n",
"R+hVrNG0zrKJzxnvl+RYSPeNm4aWAqQujiCKecYuSBDR2Bkw8PaGaRhHjW8lZ4jg3oLymbfqWRGW\n",
"EqQJBww653N4+TYhza6Auxxa2+3Ejd3z2kv3pWVbnhjiUwKO7DUcsBvulJwBHRTyeJs1K0fybk7c\n",
"d3vOltsBVRGqv2a7OnUXdLRaa/99cJxEmp8AyyfNyeIl2zIBTI3rfukCGNITLFFUDq8A0TQJq/eX\n",
"YQqy/PeE27Vob6lcIFnPQLio+2rTUJShVzpEb6LPOtMlQnKVfdfzvaEGYtV6zuZrgHnxrkqRPgqh\n",
"wQ4+49drNYXD44ntDlFhgj7wxoChhHY7OhS+oSsslbfyk0eRZpO/7aKv70CdTaq17MhI1LZVLu0O\n",
"cUfUIqTqArDhiUfN+d9bFQs9YMCzj1TweTPXPVE6wk8A82XmMwlgDBw0QY1q0KECpadhy6+jArcc\n",
"wloj0eYKzZtVdiuaygaZNzHE5ikzb1p2PGHiYWPhuc8+XnPUyQqVyMnrTFXnnBxrhucKMSGWCziL\n",
"8vmiz4CmsqDjKp3XDDCJumNxD0WLcr2SXbfGHWY4XO53xYWJ23s2UbSbtzo9pHKJXWZP0Fr9r5Ti\n",
"ZXRVn0IyFtXvf+mtB9N8Ox5SxS1xFLrf2XJPxHUvYbALd20k+RraCFc9/M3wVpt9adDMiwQNjWX0\n",
"IQW0riQzURnAwrWZkL0c6hzjfRxbqDQ60dmFjF0dDekYQlxXO/KdFNcLHgGJpR3hKnVU+aTo2zQZ\n",
"QtQV9ZZLEVxlnC1LD5jjrmvrNmQ1ZGFHHufVnnGAqdfT6/sCshWZ9q/gGJsALVVHP1+CHLV2sj7F\n",
"vsZE5Ey/vWy9U3Bo+Yyy4AtiXkEoJgp+YnF4AR8q1Jxw/Ec0/Jocr8JiFAB6uypMEWmxwNWmR2Xt\n",
"E5/8fgseUHHFw5Mgtzt9G0BVwslgFMhOhazUMy2HrQUU8EMtde+LlMYCx9JmFeofkFscS0eJjEFQ\n",
"oMTlLtU4aAVSqPGfdUYchtu+RB8zmmnZdQgVgWaMvg5Am+NYyBOsbD3v6ECB0OV0CRmuZxQMomIo\n",
"iRtKWjlZI2PgNP0Ih3QXLGTzOnRgHAZfNE0Gy2593tLJczzLbrZhfSrYMND7tBaF762ECeFrsqIH\n",
"aVJrrgCz4SH/QKDES73p+ygWAzhJKehpEroXUkRQzOPw/4AxA7cw/1C1pFerHwFaCa2b6aHOotOt\n",
"g1XOaERvg7wynhk6a8bulg5cNGbsEmmcKMYk7v9v70qkIrmJVnvrH4huiYk2Iwmg3FBN8OaCUseA\n",
"hv33CWykTpDRoGNhkZ3ohsBLNFaSgiQv5n3t300bK/K187NrU3q3pk55i5yvBrLwL3S9Fkhe93Xv\n",
"oKe15N4DrUS/Is/ow9JW0z6CEsI75aphW96CQKZCn7ESVZCVH3ZTpSnwiJaf+zEqnTV3lEsU9DSL\n",
"ojCKj0S9LQfjUomWYHwLgSfLUHlCISPNtd/kJWZgOiUOWKQZ8Mhrnorqo1onMs622QvvRDMXzeSl\n",
"z2PHl8m24r9MNZt/nUNcOMUag8gGJmkramPL4kP1tfH0p4Ylo0s54Gfwzr4GQG34WS/93phv9lEV\n",
"BKJFA7wUBITdAufJ2Lyq1OSOECqrko1c3gHSnjNbhntzK594vIltKsf593AMEcWX3Y8Cn2k9mv1G\n",
"KUl+BlCbctVgcu6xf7fn27ZzwGMpfJ1RWmEflV8y/yr4UadSTZbLbssO+SjHySrT2OyMbuVYiaiU\n",
"HurGjczqZgVs7pIj3V7fJJVq55x7Q54dMRwSfU8ykC4SoSIFkAnS2Zpt2TeJVFILYn8XDb18cUCJ\n",
"GNW8UycHTEpsOjN1t2pgpoU1RSlT0BlKEQAAAiZBnj5FFSwQ/wAGRpKagAhNiEoPmU+WlpdG7dhd\n",
"NxWGsGmDT/E2Pb19u6gf8tO/ecMEbdI+RR6InSqyl6MP36aZ9HYyAErBbxAgei9cSH6JLo/TkBE+\n",
"xuxZiz+lm6hMb/mX8fKt5xy+VsJVihBJJAEcl0SgBjK2IgrhlzeVeLRJW0/IS0KHBmB9mFFu3mpi\n",
"7bqwE3LTR1MB46lbXoB0YJLMOk/DHsvsZPbMnjLsdn40A3H0h4V5KEmKt7uTaH8qrPjpKzqZ2T1Q\n",
"j4VxJrQvFrZV4kRrnvH/zX+2pbOF2Rz033rZYVPfsRHkbBrD1yP4FM1h5Imuu+jMAlSRm4xdOoNN\n",
"rCqKxqFGGkDmvTd4VUxc6lE+qX0XXwM1ou/VXXljpUBsrxFm3V1g+1Q5fmymuAyLR36AblhP1sEs\n",
"s3ZZWdwP47s6oEuMK5voMn6dbA/nKw75K5CRJoLFqQSWiBdPUoW6AfLOG1coDlNc1iSM1hOSqIPk\n",
"ySAtzklNHu+QBec2vD21lxZ2AYfPjWARvSb76dTuqlFY9zCeTDlRyT5OqL9Y5b82dlQMCGbVH/b6\n",
"XIfSk86UT8ILuwxwoa8fHftGhHtVqfEKBOtFQ2/8LlnRi652bnK8WE7zjRwR++WU3vRakjS8UvfS\n",
"eZu2W0XdsDyGdMuYY+GPeapA1kewn6tmePPl7b/wE2Vpj8eWEqaNj0XDLGU0Q/mxF2VxWNn7F6Yt\n",
"oDkMo+DZy7KAAAACKwGeXXRD/wANz6TYIyAEDR50S2No7KLLeza6VhGxby4f3x+3TNY5eBiPiwlM\n",
"89TsnkG4xZsLedsBi56EqgykJlkMrg6EBNzEKM+PBccPYspyj7aCrse28O74Balxs11TqaqdR1Lt\n",
"EyDZTiCGFgjP43fPPn1CNKN8vIO4//yzzI8W9adnmcK8bc03DCV0oeRakqDs7wJYCClLW/2CtFlR\n",
"xzd1WVjtQAO4DhawHMwH4PBHK0LcFb91cj/9j/2WvYkpoYiwmUIxcuGQmvReWxIzhIJdGCne7m8m\n",
"lyGhalW546KBLLDOJGSlYOMnI6zU7opv3mPB6HYSGNk1k36XfTD/9No3sdVkkWFf2NYRv+u9bjYc\n",
"PCekwa4xZQs66hRMgXqqRcpxnVhUaSOMJxaT7khiR+8HjPXikb4SzCwmJK8pb8yk1x/XPQn90y1y\n",
"NyiRcrVdJZitgi5ILPY7Hp5dQrw0Mmkc2zBFePi8JFx/jdY8BtBYYhw2HIqhQ7Hogyw90ozydWOJ\n",
"EPeda4JAtXcqjsxmZVuicNGWO6mSzz4qgNfkzB8qjHRAbCrZnvOeF5fKFGTCD7qVjNKleTeNVSiN\n",
"KztrYzed91x6o7O1qwIbRiEYaFb3NVyz2biha0kyvMbax4apfT0zS6JXq14D11W84VyIbu0FibxE\n",
"WEMoU10G6Ql6dP7rDoOT1b4jx+5W14LL53EEBj/IcN2BQD/dkUTjn4lsBeolHEGfGHqbSpNXAgAA\n",
"AmQBnl9qQ/8ADc5pKnz/b8hA2ejeyJrQJ6LOJay6NABtV2BOc17iGBKIalVkklEkP0JFbuPfc1b8\n",
"kFy14yJE9GYJ8BOxRvfL62YjK42FYZxFBJy1oyzFzCzdyr/9xKOpcmdCPQxfP/1U2uSkXeBgqVcm\n",
"BQWA+X8g3uwh2K9Ho/fk5jVD/YMzIB/Ku6YDxiYJLwMuxl0CGFTJaDjxyXY6zhlerQK35NFLpdhG\n",
"yddWaevnjGwBjxjzCacL+8X1fFI7D/Uixxpr4KP5E0phRHiHbv/PFS2QYHrWrP2Ayh6uBxa61F0D\n",
"uhXXPfzYMO5OR+v/pL5js0jp4/nrYcYH1q16Vms+ID2KWMDeD3vtx1Bdq4OZggB8aHwa2u8F+/Qw\n",
"Zpx9a7ayliOgKYJAPjWQbIz1Wb13RwubexdTGf+r0cC4D7wfB55FD6ZvWNzzYbJ4q0l4pdpk/jeu\n",
"km+/VMkUH1AY6jijMnjhHAbBnGtJS5SreB7vwnFq1nR0052HJcBV1UOfiRjfGGg0mUF4Et+9kIPm\n",
"pXiXGhclH8NOASFoES5AJzhJI0X5Sry9Nqb/WoOkFJ3B5orl8swkzeFqg8H/ZH5KIfU8FK3k2PNq\n",
"LNCGrKssRzGD0mBf+tz3yAiSBw/gemBGJE7lk9j61v3a6vWYfkhtyfU+ues3gGBQIfDqdHcqBjiq\n",
"5B/P63mcuzw77VounsrGucxw39f3KSOWhOGIcXePnNTRJOMnelGI+NI3/9a9vvTK15Ab0ypqq29C\n",
"7CYGoKmrk0EZRaaS3uSr+a9vtoJTT//Fhr6Zq1VysGTBRIXE9jGZOYVHgYEAAAcnQZpESahBbJlM\n",
"CCf//rUqgAKmSR7SAoLfK7YK3M0i4AvUkh7a8vP4INIJkfQTvGdPa//TEBhNEQ/blwZOIDVWdTEX\n",
"FCQ3Dcgo/oDu9OuMNuiZ2qz0xt608JnpaF9OBgSvUpcQvPxI+wiMFeEW/v5/4vOdS1YOO7GEI7v9\n",
"cSRqQH4pD2VUgwnhmVBFfmKcppH1AMdmUSlO+4FW3d1Pj1tdTu8WYLshX+APE+1kSs+KfJPfjNEh\n",
"NfOFS2y6lfhki6yEeJDNZdlaJKf9n+0xbcpFdN58mPGHfKiVdGpyuzqWoVmyTtiNRPR/wKpfFdjM\n",
"pXPtvyjstqGBjzw/hDBmvQ3dwsu8v5sBw8zvtnaBSi94kIKU11B8a//8nlo3ziPbFKDXhoaZ2sde\n",
"NsWe/bZ3369scKDydbo7VZH9uGVsya9F5pmo9lfmLuZFRQ/c6V6EvGHoV59IHb49mr0KLzE90II+\n",
"6Yd95UFUGGSjmh2BVd1qYh+VKtPRMU1GxFgCDC6Q+gdmaRu8JWHeCRHbE0F3xbXo3X5KmvMtS2Rz\n",
"qnrQXN567Ekby9yknijK7hUet8E2mtmKfbmJ/TpnTzGCPllqiNA9BFqCraMlMYONcZ4yuX/pwcmK\n",
"tBfznwtrSciklnBER9Y0vZOdGfczuA9486Qt7Wn5H1fnX57DU586MphtgpmXEafxMwF4Yg9PJIOk\n",
"nRjlJlxZHDHVxb1gufkWrsNCusYISchxrxUsd/DgOqOPaXhXI0i8/aPx2HYor73sUo918C7C5N0n\n",
"gAb9+Uxi3qNkzdsZUm3nFikMS+MReIVT8R8NK7PXEEjGCg3iBak+ZBXsOBlJO7K6gt5gRsqozbfg\n",
"mq7qCFWEDMelVRH8txJecIll2IUS43WMsF0zlPZeI1XmyhfVL1t4ulOgE8w/TDjz2bQtoY8iL7Dc\n",
"N1neXCeLbIXfZ+WJaASwDAfrPjcN+GF0slwOl4WHwY4/0QZntCyOPrs/8oppDN/RnmQ3UPHuJf/8\n",
"G0S2r7xkqdmvjHWi/E8Pvb7AF8/QMTdxSqXJJNd83gEp82m23lheKUTT4E4L6b0UrL45nToRRy26\n",
"188ASbYMPBGn+x7T/1uDiB/Zf3+7SrqHw4eUgoveg+NLNT9UxEzhemdVVmoTc3qO/inh0tkYMX77\n",
"CX3FvAKHVyZ9MCvHCvOAZhTpuKvVlaq26Kk1p6Ia9dG2lerwbJVHuRz8k/8AMkG8GXhue2+yF52B\n",
"189wygVTry0NIr6Rq25ktxbdboV4+V9I8SWdhH/e8u9ZqDjcV83QqY7DMo6TyAGyfisN49iqVKrN\n",
"aj820q2aWg4My4fUx5dPYrMTeXQvKmCQmrpEClMB01IXezdkZflpEOqo9m86IlLYLv7QIf2cgbFa\n",
"7DBx5ILUC0qGYtNwLkhswFyw4XZHADLv21MUVMfTLCb6n4YTeT2Mv2DRaUH/jgnZcmdpoTrUg2uY\n",
"IXf1yMcr3qIjvqHykOwr6HG6ewtNYYprC1isJkIje1lIWpoPIxkUbKgwXnVr5Qh9C6Tk2WNk9dcv\n",
"mY8HHRdvxkiYEeOXzssDSLI0FWoPnIOVQK7Sd30PvKz0/4Nzg/7+nR6nwMxaVACIlJx6RfQl+OA/\n",
"VPaMXeaRI3q9Jl0fC6lm2eCyBqtsQWVfAKFH7XXxWzA02ZjpQAEZia23VB45AV3bYou1ruOhPAz2\n",
"qgnA5tLMbktjU5b5g17bdMlzzoxEKU6zDY3N2oJ1XqYZVgcdJXqeg3qf7EcsnDQpjZN6Y3TxHO67\n",
"Jlmx7AbOiPdtSYKjSfGeRZ1NyEPXfrd8Ndh0bQ18O17SEYUaId+QvKpLZfDCfHbsbldEZ23XHejP\n",
"mapstU2d1XE17/Vatd+6QO43WFbZQgMBqbcoBSfsbA+yXzuMHcAkIFVvoEn7iIYCGGL0XTHolzdV\n",
"YCuhD7yDD1gDtvH6groVBIH57kuo7HswIWMqpS2A1/VegntbmP2dHEk4xDZS3WXdt+UNuWpmPj3V\n",
"deXDe7g5BE6jnAB+l72yBLgzP40NvXPlYXWRq3Zq/AQ5FYGND7v6cx+SxUKGXAvUs19SpCMD1Cr9\n",
"EWNI/NyxXIeKroY/N5/20yHN54rwzVCaakHNvilbAkzO77ppZFfgaMsNL7B/wJxU4ricBhQyL+pq\n",
"qzLhrg74OHU/V1AcrO8jy91+2Qe2YiXoJCD7HxqKaVXljoPl7fifHvMuuFO4WvSLUEYL3r3fRPcT\n",
"7Ap3RnAbZ9C9LfvGAEU910cwylz1S7SHHlPZwOMY8mJ51bkYV5MxGgTz3BebvjFh2VA4uBRvXqS2\n",
"niaDr1WFe6ikqaAonHiSzcP2Vc0Z+rYtfO/AnrgZ9X7yYGhjkrqZ0mGABcfRVTWLn9BGNn/ZwDgt\n",
"t6htwJ4xjflxS05D/19BhYHk8/2EqhlEhN0oRxl0lt2cAkEvEKYzFYMBT5tqvg2T9eEFTYih4AAA\n",
"AiRBnmJFFSwQ/wADS39P8jsEI6DxCD498uUVIm/yPoeZRUfr3wAB2EH33h8pzrvgZAivQP+p+nAe\n",
"slrFqe/jG3G7EJnM47CCDun/osYIX4DVvLZsj+nWWDU9ULdUlz7zitM8En2Y9EARYPT5I2370Dbv\n",
"yRg3K2GgwphL3Qhr4AMPSeU0e1CKsSqbuBTnwc7RyC8A5jhrv82nMQig3lEnlINz7hbbJWjPhL6S\n",
"a6caq2+UHcFd+2f7G0hEKgPh1wJgd4oHef5+zTKKQoVS2cVp95ezrNtCoHOlY4GeiGK97RH+T5u2\n",
"5jUlvohV35dCFHJqPLKDkYUJz4IwrU9JUEsl4ikHK07e1UKXcI9XgJVEcB6vzRfUdpvXG+eOpfK1\n",
"g6o3Qal8zQziyWtzmWp6D+tT/4o47RTGkWuA4AS19sikIpd7BR919ejG9bCyTVcQgHRWfAkBvn7h\n",
"V7JjVp8rSVXQdDPaRgFD0oUjRIcUdcH2KpjHFknvxykNts9/BkL1M3JnYnMGQQ9AlIX6KZSF+mRO\n",
"TcAod59/nuLV9NkNv6+JBGKxOK5QD0Ufg8IytqZYiQ9NIBfOq98BftbWtQydcVDziiYnPYAWPAN6\n",
"9JFfQkKWCO4VUfgNCNR5692s4TNDtaDRABxoY73nKMay8VCHDQwIWIgkgIuIkwMUoqrhqUPwHpEE\n",
"5keDNOrt0IOiDXLuavcbR8Cl70Fe7mG2ByLchbXq0PSs/5hF/QAAAjYBnoF0Q/8ABxO/lJReHjYU\n",
"YBCjhf6KNAsaylL3scWf2m3QAaMP4FMpPCwTtoOn4u2mi9pfrtYtD4QUoylEeKZfvkACrLq47ckT\n",
"tp1DNT+O1qk/rU46SxACzfOGhjj4/e4iQlXk+H6e1c9Ihuu4KibXLZsmpr9WpUt97u3vJsDUnQdU\n",
"hw5RmC/oUzeyx7/pY9lqJSahGwzSNGO7UnDzH/SmWcgQIF25RrKG92JqRQejHmNXEPPJEs3jPwWe\n",
"LAjqZ1GqHSonnQ4Eh1ty+GkHSoaGvYSAZPWRUAlG0FYRS8K2rbUwARD5vrlqit7nL4PSF+ntvGK5\n",
"elXfQKBCdoyxJJiikUbDh3jKl8tLuydk/w/KXKK5fyg27NKjBa3DVHwmIH218h7rm9nky1ba5TSK\n",
"UVEvzR1NvwNijGFeZVOWhtqNXbU0YEv+o5qFsPHN72yLZd16WHRWsAR2O7uWcziJ08tVusPYAPt/\n",
"VwzBYm2Rsm6q+UHDQGuYxTLTwCkvJb+WRo+G/gK7fqUCgili7Xer3Px7hS4DjJIe4lgE2A1nY68P\n",
"ig3qBDaOEBEtqWfW7GgcqJiQ8sxLNw3f8tLgTH/DjO+ztlalxkIyvxuVDJ5+85pJ5cHAPbkEzszl\n",
"3w1FRvM1dBAnTgec6pPCsGJOTRWiyY+AqArMrUSK8InSj4A4fXEqhKM1gzKc9E5eYSee7BeF+KXx\n",
"OwQPvhDdwK82zYI3zQ41HOOyW9ywl5+3AJFir9tE+ozyaXy6XgAAAkgBnoNqQ/8ABz+xcicUrz0a\n",
"H4o3/CPJBS4AM58huNpji6IxRXkoOgtHoDnnCjxyv+CG683S2jKP7OzR9VHCb7OZfhGQl8paSEAJ\n",
"k1uMGfZ7TbNP1WxahnHEyFhDYRQvB3pWyx68LsbclWrLS9GXNM2EJ8zXJ33D4Em2WQYFqJ7JCFDx\n",
"Da5YtuuP4eDi33/phhmbv08bZA7jE7r+0lYAH2vW8+0LwSZzf5cOvAp3mpupq8snDaCCq9rS7HUj\n",
"wnMcUiv3fweMcTSflSGtAjtbAwpFHi3W5es9ME0eXS2NjqFseDnWgB4WGR0vupMvYoLJ7z3baCcx\n",
"54lrPBBEqCDTepD4tSu1Ol/IgRV/EJz11Figge8kz4/0bUh0KI1KGkoCnxg1wSDXQrYhozcis46I\n",
"nKBwy2CG8XCHw54kNN5UPtioIeefoCozIF3FXPMKwnU/Ob7hqW27OuSxKEJ+zoKv7V87sYxO5agV\n",
"XD6xt30HX6PAxSsUL9LrxD8eyMGJPAUY+6Sh7+XLuoykpS+AhdDgtxtIHByGUExt+Caqt06OhYqb\n",
"js0sEpPM5cCMNdbbZux3gkhBS1fwacBxuyjj4CcKxqS4JQi1c/jNZdFMmiBk1uYc9tUDbnIZp2On\n",
"ah6y45wcEz9BLlhPqy6lGGk4pxXtgkp5WNdMbBe+aUlgpb0v6JJ0ISvfHucvOJca62lknVi+Rksa\n",
"MsYGy9vQeV97F0//860p+yWDkvFKconD0iRxG87SNOWsRkeCWp1xN62G3KjPCDXEOyRIJjhHHQAA\n",
"BEpBmoZJqEFsmUwUTBP//rUqgAKmSMo2lnObj5CowANuvNZkdBhk23/xhx7+sb7trW0lXXyyP5lx\n",
"03eIYQeAvID4YlY0jVLxE+mxQZMGmKTA2T0hzhNgdMsy8fzG2BWJD120WbEl7rK6lUh96PFJemoE\n",
"ggoqSNBe4xQDVq0XIgbLlqbWi258+1BbbSMRe4LDBxq+N2y4t1Q1hHNM0Sc62ybl/e5VuGA6QLbQ\n",
"cTclhTDUYHyeOpfuLWPo2Dp8AwXlbTTVyopXeIUQtMCnDx5OecekiSFRD7zoEzBGJCP1xr9k4D/m\n",
"kFMBth1JzXF7+4tQp4gB3Oo/zPpttg9tW+iVD7exAle9cXSDChLQ6XfwCC6VeR/yjC/FaVd304Vb\n",
"wEY5bq8IqAzj1ueA6IYrk+yZADVSJj1cRsXkolWbQLOuvWwsc2v6xeglvrP7SM1jusePx9VYPfzA\n",
"j6yufZ4CofNx0ipBKHvMp/7qPIZMofJNVOsJNMNTwKGhoW5ENjhMYElvYWZCc7eun3M4L5d0CVrZ\n",
"ZPY05A3cMMjVkbhgBAZdx1pkOb6TLh5Bn3H9YuJYXoE0Wpd3mpshhSK5LTq4pI5v/5vIipOwD29f\n",
"y9icjPqc7nFAYhbMNZlNVLYaj/R6XLdCfEnNyHNFjjpOU2ZQ7C95dqgSFWgtfGTUS52mRhy15HEO\n",
"UdhpAc2cuyST98x/8cXk9vkKDLgLP+LREuTzXwZaijUQ5hj9pQp7TYpM5fYlheJIZnvTZuyxA+w8\n",
"Od/UvvCKqWCd8jyCgFrH+jkVkxSBRB6s9jaa4DnsGeeDGsobGqv3oLUxdDBu+noDa2TGv2xNSMg8\n",
"yye4JW1v0uMbqShOpDVZdDT1ZOa87LdmH4Okry1oOiQ8HcrX2TkuouA1b2rC/i/7CvocawPL9Rcs\n",
"lDnJHkBVPmrxq23U23lA3s1E2SLT/62vvBZ3+DPG5FEx8FSak9j3+L2A7Of/h/iYCUWuoTZ6S933\n",
"TJZ3WKGxNOnYznngR8ZjemxXh0pnNr92HP7+npljsBj2ZyedDGooifRgZkdZo/fdUjkj1hswkn0z\n",
"h0GF/kftqftVnnHKJM3nN18d5bn4ydkBV+1FHcqeq2mHIdfDq5WTAWAalhhQiLPMwn65d+mUq8fC\n",
"NxbSWWBd06KD6ecBswtQv6efD82ShP8FtuPjVS5ST6qxa6c2fhPLX7qW8qOy4QXeUbDVDAuPeOVi\n",
"+/KF5+8ovqg9W07QMLkWlLe4NnkIwhe0BEFogV4ju7FTA/4TKAb0j4SiyYZd8RVAvudMjjE/b7p/\n",
"3DEbZKDXL9soVmvF/nSQUsycqODx8W1XV6aucMKRZp5q/K75DUbykvwjplcWM4ccHtiYvXY+IxIh\n",
"ejoBoE++4ZI/yJFRrxNkTK2HuM49rDAt7jmIXJEWTblGbL5wrjGW+8Qmfg0aLIRbUpSGVBL4mWE6\n",
"TIypIjmK7rY6qlSvbNZTBsEAAAJLAZ6lakP/AAc+yTfovJjbKznba5SSTPeCsYAPnfistVnLZQDr\n",
"gujekXNmoBdvFHkD+Urjcd4oWzRNflMX5hL52mOMpqSCE3EcyUs05P8Lmu1ZQBNlxM0iIJarVNME\n",
"zzRkcE6Pk1++mjR1T/m9Pf6QGMsF8wdy8izMyzqRqk9uPXGu2+4W0kTy/J534MAcRM9IdVKB1WIC\n",
"dgFDR8ng+yChZBmRJ+D6CwjV0rT/xQwzqATCDVfEJNhcsNIHvH2UKfVV+RdZrzu9iHqXKHl/aDCV\n",
"DWsb1l1ifFDwKFtEMvHuJTYwqGMtT6hXF18JxqbPkyfKdvznn3HF1rG5pX0ToQ5ziqBRRS7bWcFB\n",
"DZY020ZfkBPy9JIq5KqUYLwzvnxZnFkG5AyIwmAAIIGmV4Em0mJ3NXIuaRbhRU1LIv3K7qzrIUFE\n",
"6geV7xZ46Po8O0lYDtlKUSKlu+1seZBYdA46nJ7TErfBA1f+NH2hUCKPxbSvGV+c4x2+Ya6cxCkY\n",
"a21dqDKYE1eCHnORkxreLvfTFcwoEPcmysr2PGyz7WqIqfudQM/EWyZ0R6QSaJDc94ZySER7Dqaf\n",
"nkquhzh+tZvs+MYKyYte/RO3o9w1TrL7GIHCHHDREVw767CQU7ueAGF+l2FABj+nanH7+to5UgQp\n",
"9Pf5urwaTSHMkLvssKgx6cPHu2tyXB0O5rIvX1oLIFlRWNja58+/ChRj8S5ac/GwHzL1dHah6JG8\n",
"gw+lnfHiC0M1UyuI8OC9uGPUDHzA3LN9TdvAPNRvFDj7uE9dud0AAAgQQZqqSeEKUmUwIJ///rUq\n",
"gALKSR7RpdBfeZmvS2JcGHTmv6hqcLTwinLUHGGN3xiYWdU75oJFIp5veFOtKVctyr6pvXURIWlL\n",
"y2Hw6Xae/hjxTRhixxPx+6yGHXX7CBC+Pdo3aJh6bEAH6PGhPaFaFfZ7u4g5KkOn+gmwjePYGKnh\n",
"yKisvbIPwoVBjjQzblNMuwX668n+YdO5Bfimgx/unv/Nqw27/kIWHg5CSYHko7vVdOKR17sT6VAN\n",
"WulRFQ1uwVJbyI3YoV46bzHwnjZG1xUPLFE+5DEXosSIGZS9GROQCjc0ANF4rMlJL3ErtCUESjS+\n",
"qoP3kKFPmMoOxej8V/SokQPDnLhJChJewMrZB82NgicDj0yVaCfRGA1D/oPziF1LmytlBiQ8bfS4\n",
"W+1Lzea67DEfOFRWay9DW8BsMaktn58AuSeKfKSfp+9H3c2dLLwSkJp98Qw6FWALYwrha2lRoCG3\n",
"1KSBsEUI/mFsKTuOHWBGcUtazVTGnKRlgmG9TphP6bwV3T5vCvdmieXlICq4XsqTWhwfQGkiR/R1\n",
"I3slrGQslw7cyotcKzca2ru2gevJYIyBuIhXbHYK1Ayh2hHVHjRW+VbbZfC1kHTdNXNX2qm9VQs2\n",
"Rx4EE70S5+wQRaWq3kViXegjoFUsPgyIZPPOCvWKGnbv1xN+rkGw8RgQ35gttz0tHImqkZHJYi9O\n",
"ASDxEa93BPqfE68j38CfimPrZGLPxetZjfsDa5c8lBQY///FrfnvY1dr5zIjODYfSbfzwgHft4pc\n",
"szdkb6o6bkQZPp4WgyfqXC0Olrw4T0di8zXR4yZ+ehyIjZF0cszbXPlLPuXL639VdcxV3GAPcSqJ\n",
"IBKPvodmgMKifSWLNoB2hEGKGjAOsD/ruXEui8zc4kx/NhQQYC/+n0hWYnoWPbvjkulgLle0zM85\n",
"I3f0kkJA5+5kO8vJOH/2bNVvEVsRY1YFi/JAhwLNZUAsZOKWQ2uMVnlyWcwwmAAUcG3ps4xl0fCE\n",
"ToVBXvghQobjVJnIGmxwLkKV3Quw9Rd0XXQZpgij7mUJd5gsHd9YWF4A0V9gzU5feb0rj3BvGpEW\n",
"5sAL4Cd2wHsiiP0eCoYrp3cz1SvFj/5yiaaK0mADuMBZDUhA1cESZ/Z8JCT7Qzyqo+N7xy9m1ACk\n",
"NALdc/ELILl7XWlzQffLcaZffnV6zT4aYBRA6Qh5XJ2IM4s6Vx6Dm8Vjl/jcGRiCSeKCaY6x+EzS\n",
"+mLGmXLJqxOlu72SmJLuciyxwV68YQ0JTJR6pUEecfzaDl+8UQCf8B26QdFRbn5jv+4IKtqMvlKz\n",
"L6ZnO2n+OveKJmBqiPAiKJNcfWwLf0oSv+QXJPmvJHbiOosZvGidsDmAcFQ80x4gCkMYqnqhOPZh\n",
"wygRbXk07EQd7pfLoqG+gf0xtiTxPw+dZ51cEDAJoU93xefhSCy6IzDCDKTty4DU09fGouC+mExW\n",
"vVG28RXY0Kg97zBzyGi78egEXxx0YwMp4uYD7jnsC8rhw2w/bI9gMIpkFk9BPgrzwBqOx7rWcBIy\n",
"+mKHWRztkiH9cETBrfRHLdkBvt1RSopT4zc0hSc0/s2nH2Zk1Q+3dJfjSTVZiOQlaZpAVtbKbN4p\n",
"Auforv7g2WnRkywR2rLs1sLJzm8M74O7eoP/cgiZ9lwz43NzU2OS5cAAUx5IjCrhsWm17IUfAcpd\n",
"ehjK7txn/9M0dTeHA7IhEe8eHZ858IEM83xN119GTLzF4xUVSS6RKuYo1StfPiDfsmlNGQDaj4XK\n",
"N1wTpVjlo7RHnYDLI8UmrWjyj1+kpl7ydLNvhNx4Zt21MAEto/xrkaX+4/NhrH81ITVfp/6AyG9h\n",
"kBGb/0XaJvt2KK7N3c1RJufSMU7o/K1UJL1Cjo+qeSuLDXZzRxVMVNNBfvBUoH9aU6gUdE+Oqix9\n",
"5gTs+5c/hirOUYSt5IjfAMC1z6hYsJCiZY091TFp3FcwthL8VLSoDRHeSRrqeA23tcqfTzDuVClF\n",
"03zLtJg7u3gU0VZJbivzWgTJC9d4p3Yfysk6Pz0lZ81QE7cwFCbiLIUlR6tZZz10JVkD7piMX4o+\n",
"dhqbWybzUB+vHM05gpFQH0OG8dNp8amkZIDAhl/AVoKtPYTsCXX4kf3LO4pXJbtUyreSHOl1DTDa\n",
"KZ/U9LvCxBtQn78JCTXJN1M+/J8QnnXmQpAQMLwhrEgaLCq9q9o2yyw4tar5k6QxfvMUn+Gp1di0\n",
"0jtaY2/HQGp2ABcUe5M0QeDcXp6xndsozWZNbbUKzuHE2c4yRlylTjhGcxQnx7TxxGrertT+VCzH\n",
"DPU3cuPxwBmc0qkAvXzZY5yFf2EpKbJ0wM66Essayx2ETSO+ARpvs1KUTqPW23aYPkb0sDLB/kWo\n",
"z3IMuMCK27+LA4S/Mx+KoVazb4Jrso2NyvYX6IHrpsZhdD4C016jMPRgjsyhW9i0xps69Ldl8ugW\n",
"msfGFtqY0fNEVJaBGcl9a1OURiCrg+8A67dZkoZs9m5Tm5q2Gs8lRtwaBzYHF5D8HBtEXId8TNT5\n",
"NW5YzuUkzLaZZij/n4YxIFj+03FWo3e/O1P4PfHp+aTKs2mEPlSE7Q3RUWfSsgpeRfwcYS4ObMF0\n",
"rhXdqfKiczbX6eRw4LYQ94CZif4w3PbLSQNMW7ar11G7H8aKVL0Ugo/wbiqgcMDN3J0kfJyXb70k\n",
"RS64y+BePBUll+Dn+OOAzZTtL1mnDxbrPxTEiQWW8LwC8XvidIrrJzXVs/pTBg9Dgot3tNZ5AAAC\n",
"jkGeyEU0TBD/AANzf0/yOwQjoPEGDDpfTM18PXm9HP05uv3wllIhj2JBYEUApPlNh6lsrxcuebJB\n",
"jFDtIOIPVMxOD5zm0VADvNinGwcUj2h2ga4Qrg4nLsBFNsQPs1+EnbQPlNIXSzdO3lKqKypnzmyQ\n",
"EdQsUnugcokVTNcOlV84vuwKdLSGQ9rXbfufq4TgvchjHMIzsc4Pr5G52t3zKQ34nx+H5WOr6X3m\n",
"kPDGOuOyAtVzYzV93vDgHDO2M7EQyrztialgZtggsW6hLQ6a0hH7iiAEG+gSYVkE8yXd2BXJdUy8\n",
"tESykS+4XgdkN5abg4vCvgi7PXtDFV/QxQv/gV36a7kEY0fjOJjx+ibzZ1QxP2rzqsUY6A+tkNwE\n",
"sGD/i4sKxCqyzOn6eI5Gqz+jsSFcKJcL1xkrKwH6xJ2QDB9z4/sY+rF62iQwuV34cKGJN3m27iv8\n",
"6w7spAQkZdrH+wf7uTG04OYkD+UMkZ+/4I4rn0LUnzkdIqpW86PfM7aeQQkCob9RMB1/CnNYoLWP\n",
"T/UgegW3oW4Eg4DqdPuY/+/LpnENVqI4+DcpO1cdAy/TRLxRLAKkWEdsfWlz2l9wjSs8MPu2dzLJ\n",
"74ofyYDZRQR9igeyRFZRXmjAS0wvl/benfSW2oICKu2K/RFOWcJPutM6vAyVg1jEaJvgCVgx6kiB\n",
"JlKie4XT+3WW+qcyCLZmlDfe9EnaQ8xVv3JYBbMcvQY7Ud7CVwWMdtoP5eQmYZcddn/keg8N9xU+\n",
"EqNtlgQMCTIJvKS0f+QuiseOPEelImTP8RxmCc2jetR7tX3QzcTJ+jDkZAiza9P+MrtChI2FBjmi\n",
"/HkOTwHAbgxMNWgFlafZ9OkN6YuvQQm7/yWJfwAAAhsBnud0Q/8AB2u/lJReHjYSGxev4XAxzl90\n",
"a/sFwh4uJwAH+qsY3PSq6OciVRQT26W2qHJKgk5sMXQbb1JPXiIfa5jchY2QdsSMT9WO+XxaqZq9\n",
"9+Udq+Uq1g1v6Xu/2vnEbiJy25qPIUEGoJV/gpvUYQfBuAwhqrHdxZ+PYMltcrEkHD1tpb0sb6aK\n",
"M2b2up4N6YV4VuHsWk+vpA3ZyFYi3FDksMfe4XvzU1fznKDxq9UU4mo5h1D0Km5MKoG1yJqCL34f\n",
"BVEvUl23OWBOlMob/E2IV27FgQ33w5FCsOiDRXnyCHMOXqZlL9ofn66DxtrOKmgA1f7wxGA3QNgz\n",
"ue9mNt0VS97mlo4Qinbs9uRUoquaat6xN4yRgINIzsWLbHM0nW4i70e//6OamDAOYApWi0kpfaqd\n",
"X1SXwmgfGHNFMqK70iL8elKsRQOAod1ZusHfKlmxVLjmgDH7Q4EBVpBvKOanaHYC0Ht4KHDi6ErQ\n",
"YkFyCMmew9qc2mLZdxcvoeARs4cMk1sq20xOF8J1+6RI2cvVKHGHDZh5ckwQe1snFzamHzvKlTOi\n",
"amKGX/GO6FcyeZxjOKLjPs1BuwL66K/Vsiyq1MDKb8NKwkh3DcST4dIIBIuIRQldgrAOYpryZG42\n",
"kVhYr+vK/mU08ypCkU6GXNZP4ByFIvvHkVXBGmGOQEImWan//xw559U2FZYZfIiLrFI8RUQl9omp\n",
"cQAAAsQBnulqQ/8AB5excicUrzqRnPQqWyKH09M6QOcK7QAJQaPK+iClu8NFrKsMtANlIvyBZYjq\n",
"EWvD8EMyh08W1x0NMie7+Mloel/E/Bd81Z7/Oa3UHxUFrYT8mRoHs7FyRahakUyqo3Fxkoawp4iL\n",
"n0KmhJ9iHGEHbr+VTRTDikG5XOmBFSEN1ogeQ5m4s2IrpPOPdD7OggXhBfP8JHjdIfa6k9ZRIXju\n",
"RJL0IkpkDopkRdDU5a/KdcY/dMeF7BYreoNHLp8GCR4jGaVi6fWnF8Mdl/JPoFe3mId3LiJfehUQ\n",
"aqvDKEhI04PcQ5yTXpF5mSnUgIB4qri/oDZSB4aCBfPnsw34ruFPbHcfiqHjWXnyphD2N+l8B8Aa\n",
"44l/57nxPGnva7Kj++Hpx5+DcItqsul3DIR2zRq+1Xk27WjbI0NqNjw55gY5Befob1Mb7GN+gYTq\n",
"3AeLfZYPIZgJjcS1n/6Xn1kZuL8xN7HZy8POgcX74leUPtuYu90ogXI1kgX1/2cScNWLtQqL1MGo\n",
"21yy28E5PhMh3Ly8AXc1V2aDHNylPP4rW1GEJuNrM+Y6z4lCyqr25o+PaGIUFkEBzPM1o8M7wv7y\n",
"zhz9cyz0h3u3LoJyoDk6McoQYpLuCBaHOOziuXlvy7P65r7j6x78sOwoK/gxP0FWUnl6VUuRZK2s\n",
"7l8AyDeeX6bQF81edCJiz2VnO5wZQ37sltLnXC6E1IcZWSIzHYNTNdPlbveZjb0CPpTFzesD5KUI\n",
"llhY2yBeO/kturfoalPebjLMxOKBSl9zb6R68yjBuMtKZ+O1Vug1tDkI9XogSKPSP2I92xPepGho\n",
"wNkFUPlZQC2eC+wSEkV5Gmuz/R8cOjDHThLOT+euOMtbLdfY73lxw8jUdgVbcNgt1S1W9nWKvW7v\n",
"IirZu36RwEcp7cme9CcMNnSeURcDqJBXhniCnT0AAAeFQZrsSahBaJlMFPBP//61KoACzCpKYvAB\n",
"E287EmhtQVkUj4eNxQdqnut3dV1ndNABpRoRiemjPEPZMG7EGPcUMv8hdux3RyGYIQysvRoJ436W\n",
"R737u9Q0tFt01P6hrb6avhsCCt0SUwhRGk1uVTpl2hWo9CZP7OPt2T8PBj4/rIixllKsaYsKX7tu\n",
"Q8k7Qy3hON/3ZACed+2GNhOMTjklShs++2cEct+QWBAWOCybAYiEKNqxaj6b6dryAn4oS8YB9KKY\n",
"6pucjQs8CoyawmopFq3rZeIIvhCYUHRM/CZA2c9uKCwKYy+IrcaNBWV+7WZILQxTM4+FI74fTlLk\n",
"+sx1QIhlZGGdkLps2W6DEgfBsiov3IBMOeJrPeDUNNgfRvnBhCItJc6KldcwFVQExs00yjD2JE2T\n",
"fyHd8fWMkb658gy0y04qs+Hu/Utun0nEOwx1ddqd37K/axzbTolzv/qmYxJn4mYMGeHHmfWiinDA\n",
"0UJxynWlYyx3b2jdhB7MFYWRiPLyKZRzVgSBw9JR+nlp3UFeJajMHlCyYU/E3XVNyepx51H8tXEL\n",
"kik2sSsPsr6AScRIb4k0DEX+pyuIceQ1xHrf2afgMO3mWqremHQVcaBxamUleCVf3paLPfBW/wIh\n",
"Q9voHzEF4kaAiFTRt0lEbaGbCVmhzZ4t9uVXlMUFNqYlm97/yNuLegaw/pNk/cOxuqAFHQ7FQACQ\n",
"C1w9ANylx2TsJEN+xdlB/AN6Y+iFzxBaehSfwRQSpYFPe4NC+LlMiF9YfVdpfklQSARAbmlY6F3w\n",
"jn6Bb1sdZsYdhABNvHSvf3H8h9j3JEbBpuf6KWe/EcK9cy7wwqGKcDX0yjlToHkyjt8RM3VFUyGX\n",
"72ih1I5dRpuyq0HlqVv0PUk1sVog7vDhvBIYNuciJmW16+nAVzLOteJ+VUnrAaPabwQFpSE+5PYn\n",
"AEE6HjDPoVdf1D0J4Dz/b8L5fQQEp5uTO3yxLS3Kf7Pxrirf09cou1vNt0FbRKZHdRTmX/oKdghO\n",
"cL4zO+QLmOoJ509jFSadWESb8k+Z9jPzu3He69Tef0jHV9UCTtpGs5rH1Z+57ad7pew2uzwGipDA\n",
"wujlv2r/z2iZ8V9incEnSkMhCI8857mjI/PG8BvRUcKdjik2OjTOanhQ3LDOyZ8XIbucqK97Auyl\n",
"d3iiEJd95joUxlCbbcFUfAPeLlbb2EZhIkD+pe50PkP3FxrLKsJTnv2m1aKW97simukdegwfLIPe\n",
"pSsRgvFHeIE1u/LlJdfn949xiXPdidJIL0D3Tn0gXfDi+xCz/G7dytBdiBkNJ0j/hUcw723TgHVb\n",
"aOUQG/ioHkAj8y6Co2jyBY56sO8uLroFjxc1JDmH3BSeyPrmmjqWtjWTxiPFDDu+g1M7dPEkX4ep\n",
"V4CDW5Hq50RsCJ2/fPG/GkjDlKQ2u9m+OqAHQCkrWmzERkMC2Dk3Ed2hrLT/NmuoR0+/h8qmZKgW\n",
"4IZGZQESUcixc8AGtYqohY2O8SIcn191tdjqS6TfOXtU9ixF9YRVyjQ9woHnewlMNfSmafAXlVOT\n",
"IqGCx3uNfOmTN6TOjJ3BaJaudf06SxJsJtiyo5Lb5APFQHSSV5UrjiPE4tAXFS8RLiwg42OiqiPS\n",
"YJmVtU/WBseoM5GXro27063Xa+OjuHscnXbY07rCM/cEkqe1RmMfMG37NLieGcAfcmPlZJX9AAaM\n",
"LhP8PdsYwICUXSC+NoH2wplFTjYDTgWJaXJt7mpq4BBSAWzuLh0rZraiuZtfNJdqH8Ysn7nux6wH\n",
"4eP0xGzqzxPpdYpYqBbOcTaUKLSpd/LOddo/re53WNXxY6sKizmVBCmjus3myixY+qlE67bXO5Lb\n",
"Eb6yhKz2Qmgxk5ZrCcBoZRLMA9OzkF09bjSl3S+lh3o8HPy8AF9sLSraHAgvG+lvqZ0LBMS33Aw8\n",
"IfdRqqUwdFSOpB2+Twu5HB9G7pptisIp6zlSEQGdT4KWuDL7DEwW1qABNce6+yFHidwTtHApLvEh\n",
"x0HiqZhgMY4PluPz2cdzM3lq4o8rTRJl8nKRxqE/gpKxPLMBH+v6z8KPTWHADkuHjopoNc63pqm/\n",
"7C0d+KCe8OcbaH1JprO3v7AHMEFMwOlBYYsS8ND3T+eJEDzcHJBjM+U8+9TF8CBnTuDk/a7pcPpS\n",
"TC0UCc+Wi/2Z4hGiP+7jPskjMVPopBcrwgD4wsEqOFS2H4uDHwvOCUzJyDY4plb51PWR8QQc/Cjg\n",
"a6RtuKUkXtgp/CULzDg684X0xrVXBTFGZ+JglSQFFmPvD3x1a3Dz6CC3LfWxbO5mX8flPsiC6OuB\n",
"vqrfEu2LSKVd525CpLqxT9xd//v+ddy+w0tYt85b+SQH99eAxnbxZMsL+1NvumqOzQVtlpN0ti3i\n",
"16FsO07rIaCe6ZT2GlgdyV3+Jf7DjF5b6hbTsMholRafJpoqPsPd4MUSxfwkglrcKY5U8E3MfMTC\n",
"7/C8pbtCvXsRL04TiGhF1fCHH6vC5QrBa4Du9L9lX+haiESRousBGMLVc7JwnCYDlPzAdR6cnxzK\n",
"8Q7b7ChKKl9JnE0qlsVQhPTtK0AAAALBAZ8LakP/AAeXl8pCoDy14kEWEQ5YKz3bgAEITlCkvZzL\n",
"HnPKIvaxceLpYHRz2ApXXQdyS0WX19hs4iMas9ij7OPugSyarHsadqBSSJnzHDlAFbeqouD3/mYI\n",
"fDO4t734uPlRvYu5MF00GSzByoq2E+bAPUf4NFe8abayuh1Q/UIPRT4T75T2pSdIDXVhNm1iGn27\n",
"uz9U/3hPhBgl2OzQyTZOZfMlY7eqqAT7aqWjZDCiRP7AwFgEv4W+V7JGRuzVTbm+A4AkP1kF9vVx\n",
"/4aQ9FvOmGhsI6RAUnyKJcMGMGCFEyJE4KzPEJzlT5M2VTnPjzrro/demvuoQQT2Xc4Z9sXgEqbi\n",
"fuP3Fricv6iNfze9TKPEsVWE9ISj4ylHsqOB3vONV3Q33zd4epyigM8HmZ5+7zZr9McVQtbyAN6W\n",
"ML83DhXlBiw3iL53kbjycHfiq29QOZ5ZKybyVF/xe2Jai15WANJ6s+M7xRhfEAhKfT+OGBvSAO8s\n",
"w/7+qyA9NZLH/arVY7fnAvROf4a+N6/iInBz7C01VfA0PL/pLCNmD5u9/EnX8U9VjvIlXlI5f1Lm\n",
"lQ8Jcx96VsE6569fTtbaopsqXplt8w1GW1+0/vRL+6rxco4QZGG6aOAZ6Xz0TolSEYIWjNYnQ5Mx\n",
"aGwnIpM1zQ47tuvnpWNrCRlmamzlykkxR3jtMmVVrbdQdtJ/dy+qsWy/JUzqJpTp64XBWMgTJ2cM\n",
"01Y+vuKLWGv7LFh2W1B7alUqX6LruqQbMbRl8rKU5+uO/fK34GWe0LVXJEBr88FSN911fvGfaz55\n",
"YJVK1ltFJoPBw8N11aI5M1BaLvMkgcnxocHLyhcW1ikybjVfSOBv06C33VSOqYy7Xlvncgn1cxSK\n",
"lulDxLj6dGR8wxAJsaHMoBFCp2OW2z75M5OMuo16QUDo0KiyeyoSm7KohB3QAAAFQkGbDknhClJl\n",
"MFLBP/61KoAC3ipKVwBM7zWfXtNgtc2caJLNaAFTiSLFIg6xOMDFl2FTlgjsWbIxQ9dF9SjN5ugr\n",
"FzvBY8u0iJPE6zlh/7rQKAi4UN5/gZpCmdRBCl+ariCfKXtcUPOn2vmhCfPjWd5mb89U/CSBuuBr\n",
"AQ7i2lKWZ5rpYnzDr26WMRzT5+gmZJ6K5T/3pJUOUG5H06nyaOUaHaqs1AOr5lUHnPBYF8OqkvDy\n",
"gTW5v9FRxxeblkHJhZcIQ6FeQwYhbftu3vvYVVMlK1GJCjn9oQk2go6ccBtsjMmKH2Bomn5skxEy\n",
"fQluO8sAv3BjBjNaaIGUzHh2fjxmIfM24y8985Kc0+nIM8QpxpH3riS+ptOOjZdHdRLkPbRQXb0Z\n",
"oow9iaa9uAXsvzVLU+Yk8Fw68Wn75/RC5StnaV9DD7PoTdLphy8oSGd23/QyLT2/DHLlkwdzg83J\n",
"ZquRVDm/Bt9u339ofI/7tvx0En+umM6cGyz8vQn6jv37bM+G4AH69nRjBtTaxJXzhnkDPS4Ze5vh\n",
"g8dvbBQJliKYhBlLB340JIr9t3M1PuIkt2RbSZdTFqpLf2NZ+OxYYjDN//1epFaDywvp1zWuseuv\n",
"XrH12FrH+5G8MxH8EcXPdpoPYlOspngYIfiD2u/cu5rGXWH48s3LNHVMrmM194lx9hKmmRdlS/tl\n",
"4xsguQAZp8RepgY6+jtXI8ZzN6wDckl407BrakusG0HRc16DZlakdFNv9Yvx3hfvktfhxO7rty7P\n",
"ICRTEnPMWi8s594VSqX47E7Vg1vXWqSuL+432YpKRfVRZQzGvq/gnbPR76RrQJjklC7CaYn3RbJa\n",
"DUTRGWqzLzStRtE2woQVMOP3OTxI+XikC37ClvgDIZn4dcSSf/Au0HyiDqs/qBiKhr4VpKA/MfTF\n",
"LHyavVDdgXWEMun6wdLiq2pnh5waUAx27+lXeuMqrjBeq6+pGo7SG4T7RrbfzS5KqBBAVhNDAYCr\n",
"yd52Qx11solQbT93jBBlknDeXpejyJe+XEP/qd17nEC4KtJniuW9SdgJqkwmbBNNiU+su4ZYSyTE\n",
"lTILv+59ciLpo54EVOd4qVjwb9VyJ9uHzrpM3PZ/GtTkdFr1iXUt3l4Lj/2fZ7vxeIADA2xXDFR+\n",
"zedRI82a7sf8yTisJp85lxEskOhpxEitOiCKR1jdjnwhhPdes0kN63BjEbuiiNnSKtMm8z1W6U+l\n",
"BKmsWFIS+kuaesCjYuCMaRRrLefIRp/nsnqHEEottTtBL06xxeBJaKCVXfVcBERUJ0FVxeqbZtUB\n",
"R2Cgmgq/nHQ1Ae790dHPMx2MZfRzwpmtD+9NtHCLt01sdf5a7U96+n4ALBgnNhVuqiwNxEN/yMRe\n",
"2vL8GpYT+8WmE7/CXfZey4GhAyM7MdCIGoSE5DHG5RwlDZFhJKqGq3TcynmXeeCA5xTgAcbO1g5w\n",
"OQV+twgFOIJJYZ8fnwR9r7+5rXxhNySVJzKoz739a0SkVzVfAbKiOw3S8jTvYwjXZe1GGOQnqbZ+\n",
"K5CgHYzWQBpZUTevXg59pNYK7GCOdm2oSdP1hY8Z3wAU2Gni539lA8jVcaBiVJ93tLt57C6ktbI9\n",
"1/jWLBkt6ESh/v71qB6V3wQFHcpXoBqjSko5ciHWxqCzwHmfZOj9XdB+8Fyi4edGTWdmXq/UMv47\n",
"OhdeKbL1YCj1HcLaUvgXAhDOdcr3eaqMHJVnaUqAGyLGb1plUAcwm3FUuRh1g0H5SOUHVGeX98ds\n",
"+RP7+SeMdtdR/hIBMEN7oLvxiVruotY3cXWBAAAClwGfLWpD/wAHw7FyJxSvOpGc9DviMXcAAf7I\n",
"FGc3QNK3l5sRZHe13jqFeH/9VRA4RgdmaeQudIAaGmwalK25S/sjYtMbyvPLl01ittIIZK5yCPo/\n",
"BAF1cQofxzOnvS2mrt+lKSYrfzjxd89ybADEfX8trEWghENkaEKNSYwbCJ9CWTRpBH4mZCRHeGwA\n",
"gfxbTP8/lb6jZ9/sqHDKtEnahXsDLeK0v4ZjbXP8BZal3OAZq6YMmTXylAJSIxgXKGfoDBRV+An2\n",
"9RaDvzCdmP/TI9JPkbM/OUcSlF/7KLeAE8QnwtuB2vYW56nkba7ddvdVR/EYAW4wlWAo4ftkS8El\n",
"4TviFHHUv2n9qU8W9WzQp+gGvoEVUzvy7XQ/Dh/44YMng5tcjpmmYLbsditv9tn81u1ihxCm3ajE\n",
"RJYndwg/IT3mpOpp0UfTITTUPLoqAKkYUIEsQr4X0spZaNK7tamx+hQwNFIwMwEqkDGavfoSpLRf\n",
"U4oHmUnVQXoDRVdqfzUYPkWIxygjPUONhhmvQ7d5ztbT7B2Fp+sa0krh/nXzhUKSNSGXxznq4VXN\n",
"Fr/cJm0sV7qa+tkXtGV9O99UR9O+/u0v2xQ1EqtIApow7KeF4OHdBM9QoARw8ad82f42UjVnpiG4\n",
"ZcI647VdyYa7EXzVQTLsbOeEj+JmVx5HmPrl8l/cXmiAP2EzkVFHQCIXUlifUFnFUemDF8AnzbP5\n",
"yKxyKIDh0BTeYFwZ4DATH98H04ZdjYQG50FFt95IhI+bwyyQOU9lXHZnktVFfa8rVa8g4VJ1+/Qi\n",
"k2dVx3MqoWZ3locXISkw7nKZT94hfNe4VfdavUlLnceijwyTPW2uHjc2KIpgC+DXwCc3PvUdVST+\n",
"v30z46Rn/G8pfwAACVZBmzFJ4Q6JlMCCf/61KoAC7kkFFaAKl7gjxsY0FGsltkmzy58ZXnTM7W2V\n",
"ZewsVtpPdV7no0X8l3Gb9yYuX2qj/NBcFRrlD0fLN+oCnhULJvQzdf+Fb0nNImSGtb5h7ejSmhuF\n",
"0eorKJc633G5ymz2c+UFZTmB/0D1Vmu+o9C1FQu1+eVp+RYh9T0m/xqZXKLNB5ydCeGnt2uzHTcL\n",
"DD1B+Zn0H4Jn4YZ7NZaa08wq1b50nrdvHTL1s8LqTnaIYz1KcOv77f3OBcQQ13H+H3VXCVLSWWps\n",
"EBbMeYwJiwQl+RFB5VdL0G5TvuHeYRGmq3GgoOa+65ZjTsCfGqZDC1O32eGmqKGM4iuIGFfKiroN\n",
"24R/lfKYE3/NguTz9KHGb59R5HetjzPI50SscR68grG2B8F9YJN4OkKd1cNZP9ex1yMzycp5K0bi\n",
"VMeN+dUuBqr1TG4Gs7Nf9XyRQT3VVk/SEdPMBD34WwXo9yjNuZqX+M46JgFL2ZH0i9MhqwURIyeX\n",
"SutCqcUBHSDlcDazRYnKMRIXb7or3icgLU6RbKT9pV3+DRxP+WYRFcTO3x5XqZJpPBrLYs2XxJhO\n",
"eHN8G2BFm4YKvRuTx+ItkKniUsZAfVNwUlzOLJaYYR33lEX3CKswd4HIWGbQm4REnc0m0Xy/1+kq\n",
"WajfTt0/UV18uYlSntAOOv2BhkDw84SPEWxfFOcHnWEW8kfJyeMNSrmThqtbUFKFcxVmJQg0vmov\n",
"YoFjZ6bIOQjFSlozuupzMra114EUg6PQTMuJw2Se5N6USu0GJYfwBiy43q8caJyQMZI+fHK9naKl\n",
"47iza9gAFCkjD1lo6fSkOVPi3Abx+7eQNUhxlIUCVyVFecPvsI4+1ydi8FZokvY3rYqSX5ZKTLIk\n",
"ROaUyqHE4cStqydrWkXXol1agW9rvTQbKcVIlfsZ9kcYsVsXUUHz+QJF8gxjd45UCUgcUCdaBVM7\n",
"55MmrObASOplmhg4vk/lCDsbN5dsLQ9vwDtYOstgsgalZ5vYO4smz5z1uaY/YJI+oprKFgXMUGTU\n",
"lpmSz5vDbVLEzqza8SjxGdT8h4Tu+CBRKbCmqR7K9TPZi5CY6IGFt6+V9+XSLXjkZTX1qJyMQcni\n",
"YBpiLww28ovImj1uBXBil6K67Y6hM/cZagEta7d19hwsvh2QuJ2ZKzBIynXnkTxfnvfq5cWCvNrL\n",
"thiH+r/wxqcZbfbB3Yoy4z6cp32TCeDp6b18qJAsQPclRp8CYW1EpJBd0M48Y+ZmdVomnLz3S1Y+\n",
"2JBjqUbj+qjEgiM60zcQ4xNe0k+Eg6I2/BmSP6AObqMvJ9byImxVW7QqaLG1RjIwJVXDfrbaSr5R\n",
"g1Vv9cMh/e4mb9Ao3Fk8kUCLD02VsnouZSl70SwmfXZkgLqJyhxF5nDOIuikpfMKQQKwKHX+CHeH\n",
"OP+Vk7LTM4GeI76j3SyYfTb+crSPSxRcXO1yoaJn5fb5G4cu2ZMPnQNmL9Mj4XlH8YOChrop0Y41\n",
"kXpkMjdwkXTHvGSjx4JDnh5wMPbsoELIojZPiCFiSt3fLjmXKOYgDz0mZrTqf+1PU/Kzcdx7X/LB\n",
"LDGkzV9+/gsp8rg0PHDDlX7lruz0my4lNO5RWVoaoAioLoe/4CSBjXvB1I8NTQCuOnkA0FTfgxgo\n",
"uITXIzCbr/TaeuKeR3WgfQFdG0HjqnbnqeHfsT66YFPyZLb3jiXadcC8d0vWEYD3SaJh7SEoYZbL\n",
"falC5MVP8LIcqUse4qEPlhdNWqXK16PhlJ+Kkt8NHmRPCxLu+nu/Q5osKm3huV+qB4CHXIcFvIKV\n",
"nFM1wTjQZ2MbeNoHZmHRJa5J0Ju8YXAppvP8m15IjOB59iCzAcIj03Qq5eUpHzTDoIfeAkC7j9xs\n",
"H5mWcGqsiwHsCmZ84lJi9Igj93mD1QlHUBgh3ef5n+2P2nb9dTZbVlnV012OeuJQ9r6TN6BRwO5H\n",
"lPR8PEmeR3dxTpYJsjqmWrBCKwA66ps5zpxySewlRkyGy/bJBsZr0Jn40nant0ZiALJ/jTrTTsuw\n",
"JUDxshvZUCqn1SPtoRZ3YLmFuCiQ8V2l/EmelPd/789rvnAjcDeLQP4eha0pxYWZ+4L2ZgDMKORR\n",
"kA3CXK2sW3LBc4Kar+oKW+VHT5kCTpGJAGmJYSR6cI9fjYikZhyvkE9GBJtA4ijwXX54Eu2y86zJ\n",
"u00PfYZmhihoSXRxAC6pBBhuZAjrgwhuV4J7lSVRqxvuuFsilmEr+IuG7RODslGJgfT+cQcgH/BH\n",
"VGzpqTfm1H5abQmlmuY/BVxi2pUaTQ7Vx8qy7t9OPAdAFnaWU5womAI5NvJganbkphxdnOjjTwYD\n",
"qCl4N/oE3PzhFGB2KcVMeLJzSFmh2aYvy7V2uRM+N1f6BcexmaGEDq5o/MmAQKYOJdYMQorLkC2/\n",
"3osw2Oed4rCjony1JjnroMIXBdIBWZ0WLf9ORzFcnSXpkqzAJxRWPBQ5MYWeTMqrH/1VFXajlqYP\n",
"hFLWF2y7COiWAvC+078+1ya4vMUxpMk+kpHEvBX2aLXeCJj0S4IJNox2FEEgwqQRD31zWxdyLdkO\n",
"wPeP6YJNmESl8WM3nxpJeZTprvrnTpS3WUZeD9EQkTDt5uCwTuTRM/Ie3u1W/OIfQjxw0YKdg2Ci\n",
"vPgX79CnlaT1ZwJJD+qlEIonxITLcMFiNajH18yn1u70ue/IaPNrj4MMedcTLpbI1L/WNBMHOiNF\n",
"HfiS4uqxBWymtQ1eMiSO9A6Pa4P6QrbZrsj5UfVHRritp/ZrbRQio8yDeMSpDNL9WUe+935/bY/i\n",
"19JWxEW/lKz4WCTgD6jMZUKd7Fz3OAt95OtKBNN+PNjLvAouj6VPkDHRD4hOAXQesuwhdeX77QI2\n",
"j+T+aMkTqwfo9kXZ+ZCRjRKN7NUXLJLQ47MiUcWOrSyqNZqiDreCWG+Nd2/49w44gC4BIhVMu2gF\n",
"YNxsdb3Eklk8jPq+D1YPIyvslyO16F6W0luyF6LyVvsFEPGwCKD7H3T9EnrcAyONwiEKJYaxCkz9\n",
"7rj4s8I3jjT2eKCXfI6weEB+O7WMd49GFD6KIb0HSPpbNeuRb4V7sqyONR3/pVi6rFX8kyf9igXU\n",
"BLgfHA/oARf/cZVvGuuXW74W58ZbJprp7vCVD39cDBynmmPKkOrgdWLsVc0kDCuf/5gT0ZhgPW40\n",
"2ELUpC7dlY9OYwAAAmBBn09FFTwQ/wADn39P8jstKu/sgUf0qAEwp53GXpvJaBzZwUsCeJmYAG1/\n",
"KOXewBCRRzp4Nfzj+FMih7dz27JZ8HbcjDwygX9N9z52yZZhfVSgLup6w0dvlf4LkJaJWgvz1jsu\n",
"pt5zubkabYhvjlskzh/7FdopLiDJMd2fWhLmkR92OkbuTYBhoymXcH0+cWJAOxhXob7QjYbQpeg5\n",
"xWderBw2pGlCG+fK500CAHNPp2DmOujhghRIqOwZ+I+5cO1oEvzp4Nd8U138VeGEvOrvY2CP4A0z\n",
"TC1HJ9EbENZJvywbma8/eVzNzqoshm6TU0KJF88quJ2gKUO/UctM5xYxGSCGBAGvazc39CHw/UC6\n",
"AU2eHolhmk1DQoOMKv0QbM2GqvT5cbXjyb25CjwlbSknKE9fzEiZ7gh1iqvS+EgaXWf6T/RlMg8f\n",
"AaICxTYMEDcMHo4vKObAbu1+xNqod0n23DjajCImYyho7+7OJgmZppfrpVKQO9wmQK8Cn5Xfj1eU\n",
"128PAxKDp99WAwBeVYJ6eEATRf8Sa43Xl+vWakCG6OH4wDVYnd36PNzQ2N+f5Z/lQen9sgWmPWoA\n",
"Ysv7/vfBPJdyZacK15OudoSCCnGYDGDj/tbeLl7QG69x+9b4M1Yggzbu/Zsc2RejbSjP492tNoOq\n",
"3PitURARt7BynYdl2wGi90vq9R2DsBQCVEJqxftpQfNDPka/jI56K+qciVrQ4VQZXBlPEk56qdeC\n",
"HClq6t35hYXe4y67LfbwxJ+9tXmtCUKoHwqPtAPcOw0Q4o9H3hhoE7q9ySy4doNPjNNyoAAAAqkB\n",
"n3BqQ/8AB++xcicUrzqRnPQ74UNi1Ml1rgAzcYRsQkn9TVMocOYiOIt4ZmeZ//P5QCaTdYLMP0EA\n",
"GmVDRsvOfUYJg5Lg/k8ARcfDX26yp2nI0rUHqJW5SSddNBq6G3cv9zyGDSaYufHgT9qyJxS+8en+\n",
"X3zTqvdwA238J64Y5DkfC+MkxZ84k3Ih43wJY9zNm8u5TcFICevD5yCRPAywpJm0hlV6kif+7jon\n",
"Y39KwPE4NNXrrmVJSWyntK4/KmSzYijII/xtjiq2pI3FgoI65Gx54o07KiLb7RTm4hkXM1heTOJ0\n",
"H1Zwml5qxrRdSgadCK0rZh1X54lP2aGZXoF3t6L02+AQl40vAoJ4hLVQS8gFlVM0La3i33c860+H\n",
"bYb2NfRuFAXjRCx1k6FqEYIymRGpegrRyHRQgGNkjU6Rc1RP44H0AMS4tbUUDEDPRP77KTF/cUYi\n",
"8eIP/9XT3yuDck9F7yzKFpYLr6TKP4htltBG7k0eWtU/ue9pgo+1irR8gY2lxmBFdoJlpWUZOcVm\n",
"RAh/DAHumogJuqtB3dZhHv/eMPqNySV8F/i1dcPjzLOiL1EBni79VuS591LYGpIVE4oTeI0Lsv0X\n",
"VZzNrbaq5aB0GlZTxhspaBVSx4wPsmInTHKJW35DPOBvjqr00xgZOJuHCOCWVnkd9d4iERaqjcdb\n",
"o1RNuRYSIiKZRFnOQ4C034RvcP6DtMbrZQRzfYfZO53m8yqWZhHzXEBhcY6OlAQKCRfrD7csdncG\n",
"hXrWP7E2oaLijjS+dLkigTJL1/0ykGAi8M46pYMtwTxiOVxUGeXkqJ7hB1CZ8AhJRietgsnd19wl\n",
"IryGcp/FCPHiIDP1H1eFJdKxStNkolzATFYEp2IvR4YfM471uu0eMF85sAEWZRncFZcMZPgAAAcG\n",
"QZtzSahBaJlMFPBP//61KoAC7kjKSFwAsTIyGohgra6dgYJ2OZF2AB4ICmJz+VGcVSRvjzIricJa\n",
"kOKk9BG8e+9MLq+IKIon2EmwvBJO2HMXRq/gDav7CDbhpL2vN1iM9jiZWcw2apDYqN5FsVNmbDxi\n",
"KSq3sRd0jdN9rlNfG6G+K1GdLEi2PkNjbTa0PN3hKIfYXv6nagKdF3kFHANL7HvSEJ/oJg078JJc\n",
"yvBWTF031FT0Bw9W+YLGMKKW7wXCP7hkEXk4pExMu4TJcVSG0m3021bBp794hoGbhTLLDmY0pqYC\n",
"iP4t4qXUIFQ1ZY1hIBWdzJymY+apsjdkdgn2p5EIoabt+GFQpjigRIHPswjbCV/tgc5eLYeI6n7E\n",
"vdnHcYR/4AakfsDK/aRLQRmx9QN56EP08SSwI1RrWIbQfkQlwcajfWOy0ekUJqSKWm4suERpAB5y\n",
"g7v1T0fU8PCfa59xz9ifyugtgNKHMqIlz+5aPA5WSpuqV2e4OJtXtUo61xpAuHxzVAv2HugFZNXa\n",
"mS0RKc7C1AHAU6PXcwld92SVocFOridftSTmAYeSBAdpdWxN12Lbl4k96gPys/3H6UT6oEhbJfxJ\n",
"9VUbV2I9lFh3XI9GcGxZyMqjj2LCwb1bOGjNhIactbVkUUZxS27Jlt73VNmDFLc1oSoXXje1TerN\n",
"xmHUwPaReHCz8De7Htq1b+ZAYEzYYwyMetA+B3Wny/N4O0nx7MzjFMt/DO53bKYOdShW3Wf/5DRt\n",
"k/EGhCeoRtlt5nHrFQGBSe+D7WzcrbNwtu1mPspVLqtK+KHVgDbFmTaTdx/pp1OYn768C4yCG3C2\n",
"HRXCdfG9cktTmdACM/lo3HoIcTB6EPoYMmhzlCIoo0uY72hMp1LaUILsD6g9+W2FMBlrYsHnXMaf\n",
"MvQStWmPoB+EcBPg7ApXwjoEpbTMfSbtefzHck3kYt64NO6zzMNJTQYjwc8ujptfBx8XylPL7rSv\n",
"YGkhe+Ftb9NeVnh00ZsFsfvWHUgLUMUfpwZsbt/WVgluyjZJesvoX/P25fjhk/tJuIM/23llUoQx\n",
"vvUWbt9s27LWhHD+rsO4VW1CAaIkVUc5Y1hTkp7lAbkwmWAIBM+U2KLIdOm2HBk40ZXXCposHFt/\n",
"T3OiAX3iHGnuhLLXvWtUHDru1cQIC87riPc5QqYL310nKvX5FlCnYE+KDzAoqm9Oyf12HusLfKEP\n",
"NDs56Ssku1Md4zMCmjAg6mZ3vxv6PvJnRP3YSSDy1z7wwYps9/gv2znMentRNwhckCdJT2NV34ha\n",
"p0r1UySlWhxP+H5KC8ORB0aRru+SCEzUrv49DSzz3YEHxo0u60lLm56YIMpsR0YTTLmy+F2OpZzc\n",
"zotcLGbT3Pzbd83GzWHuYT4LWKzg84KjyCucT9c0eZieJomC+vTN6dvCaYUVf2YMyEw5Hwp1iKu0\n",
"sikWhADqJW8q/NeY75kyLJ84UcJ7n60x6UGDDLygCPkRX49mVDBNsJXOn9O09HtwpuWJ1HxXi6bC\n",
"CD37zIf8t44bw/afq3IbklzlUKztlbY8Rt4hWRIEToHTo1S5zAE9vGSz0va8N2zN3kXLz6BElRGv\n",
"MX9pYnIA6Zb9jOiFGk05rlLIVu8O2Jl0FaXHsN1ke01vpUYwOgGqCcxxIEukNknBv6UP7CRAoniW\n",
"0rnJCggV6HA1QmnFL7SoG1epqDJwlgPI4GJ+aeMaNpjipZCtxXZG5Tlp//dKi7grP+X7Y9bzQCkR\n",
"NVSQ4NfZPSgNgSHmsw0od9Gw8QwRDO944OOfQT+jX9YBMsEW5m6FR/GZIM4dPpTtc/IoxZO8vUYP\n",
"3EuL89gvDNRIlPhKioviz2/Tqv08epv9/CZtLf4c43XVmS5zpZEay/G6VgaFy0OjwGZwAfY27zl8\n",
"DViS2i/2e6Ltsj51EGtEzSvvW55P4nE6C82kBDwdt3vnHOJDjOXTv24++Boo+B8337pr60MMQMMl\n",
"mMSR9U5ZxOx8z7ARk5AkYgfC/XydkIFaXceRLXH7k8gx9iV8io0pPnw+nkDPeqydfe48WlS98ym9\n",
"kb96FfJCWmrI9TIeTVylT6v2v8WWLD9DnifOpxc3TlwXDX3OfcHs5bv8V8dYx7TQT0sfP4X+WRhv\n",
"dSkFh3YDGqPqIvtjwG0Nk86UUxFS9WxvNjgVYWUqi5CIFGcM/XGEHzHOQY2OJH7bSoLT3iuZfYF5\n",
"V+MqWGmvmQKcQRBj1ADy0aXNxNM4JRT8thX/umIbh9UklVJEtVy2IhMsjY9bJxyeD3FXiU1uPHLq\n",
"s8VZI69/QuG2yR5GlP+HNKyZ2IIG8pZ0w0l9Zm0e9b/9GjzHITR+mUGib8nAJaJVCabk7AhDFPeL\n",
"R4o+Eef9tr51xofVAiOkqmrEplItuBThJ2QK0LTTQQAAAqcBn5JqQ/8AB+xTZePoRA6tY6/KqOBm\n",
"DhJYAB/426wjZFiAR5CYs+Cj3T7Bg+DsHYhTz4297pWyhKjYrH38F7DlkICdKjzkv/Y9Hb4NMh1o\n",
"D+tx712jiAhMtcmQJYcHOG+9uT2ORic6mOiw81mokm996gpS1BUHshKxhQ4KHIWG7IPEuz/V+VAy\n",
"hwSPqSxUeQMPe4DgmvvXtaLB+cfuxqfBYT356H/wnAqKPwgRQg+eyslnEgR4yjr1bPCuZSESvNKd\n",
"jawOxqq1l6l16FEF4GMJxE6Iw0Lqoc5RyXVJFliPB3XYAGiaVusQPbUMn6wnjSYlTLatzIVvMNsQ\n",
"ZGLlxv+2f5PMFdUjOlqcHYH7/2pFHx7lSapaP7zbNq1ULrTf5J3we5Ro3BZw5VVFnzzkrLeUkDyn\n",
"rrSPFxQljRQTb7gramfU6B2l2VSN8fzlOm2iDPs0DTvSxqVCxFcOR75SG6BuaOPSEd1fuM9yZf+1\n",
"eCmIrKQrF58g9r37kv4rTAszwi3uyIhTIbsT0kQ9HrJSQm/8xosNi/FLTggE/VNdznKQXY0pFg1Y\n",
"9jEf3hNOCT5ZszhVWIN9wtXeVEHPTFb4BYVJTX6BYFWQPeVmA+la86xMehdwTn5e6Hs6J5sSvm1G\n",
"AIzjH25Gy+xxTZ0EXTPG3hfCtzQ4KEKwCXMgAOgeaPBWUK+l77XuSq9qDbzMA7ubs7NKTukdmv5M\n",
"wVbv6TzUgZcohl9WzeL7DKN0xlk+a0ENWHYiiuFjuo6fD4idrtcHgXqIuV5/StOoHEkuDOZQJFdr\n",
"KecKzzOl0GfpLGoA4cS0oemxt4x2tGkaQyxHNE8/7UR0AYuNqrXJWhbn4zLYAgaTll0ccNv4qA8j\n",
"SxwzfLwDd08qFKbUb+TQE51trxxDvxnPBYfW4POAAAAGkUGblUnhClJlMFLBP/61KoADA9HFHRN+\n",
"fxsALEo/md7i5IEBClzgWzwCOqoSZxnKWC1PlvAsH+/1JtbcVsp/h1SzOzJ+hMXpBPjMECJpDlEk\n",
"WXc5gnnXWgU8YX5iAj9zaYcZXtX74kTyN7k4nZVAXLX9jKngOOuBjgNJh/lrYysPeVtlY+/olZqE\n",
"7wJr2OcmUykqLD8IQ0ifSwwJ5mfY7DIquWB6yxr+xnUrnuCxZ4dTE9zj9oztv5Y4gzDzm+KHKyfs\n",
"Peow1igJvl6N3VG+qM0d7hdFbPaEeR0H40oVozH6x56cEDzS8+kXxXdqoh7lz2UsGfP69QBweux7\n",
"3DRLtUS3iYQwQVFl5xnEFC63EwQRpkCScznz2up7RhZEzlgc85koHqyA7ivHLWtNF39BwLjpMgW4\n",
"H9rL+BEhTqCNMGjuD+pK5EvLmUXctACnqxjpyWDq5ODtkfGKWm1wHxqrw+vmYUtl0fLOAL4iTd/H\n",
"cx6/wgzqPUlB/C2cbhtwAsYQJsL/02nlHHaiQbbJIlmN1GkA3/Dg7i5c32MmdSqii24PwsuQuNgR\n",
"t+TzztrVQINPP5Qk5T7tmTwdsWQuGlY/MVzOcDY3+OWJSvHP5eP2u6wvpMhJSiXFedD72iSTECbH\n",
"wGRfZQ2GC26XitCdfcNJ5ty0sOfsjbcjD+/ui2Sv3DulHpznsv9S95ij0/ASrFrnaVWnPOcviR/B\n",
"o8VNOoWwl+RZHlPkti4dx1Xbftfa9xVftcp2uxD1TljOd7hnpGin3/wLt4OZHTH2Z+XDblw2dhva\n",
"h26aUuynMF3mFehH7XSMaVjZljP+AjVomqh7eNIYYzG1/LlaRze2XxFlEBjcSUX+A+ZZWmWjKvAX\n",
"hGbg852lFUYQu5zJJZclJK+FsL8i+b5Znu3yZqglx8J2RqKQxRHV0yZrSa365G8qCMo5beP8wq+8\n",
"6VbmtCoktLe+48lrhCArHjPtX8s8bKOdwbJrIOU/pm6JxSsv/iPSCj0Rr7M4fcEIX+bNGNIx0fyN\n",
"+rG2SooK/T1GB8Llz+MD8Va528Wj663hMMdnBu9teiU4Q5i1GBMI4jBfsb/p8ffrAwof0/qcV119\n",
"EcEC04GufbioTXK79pQ3zQK8/KxQMevVyQGdwIriygss0eRnKTSr6ZKm4tXH+4oveJZLTKHKvy+r\n",
"DCY1hLER+mg2DMWFqNsuNZxWEoRUyrNcEUJKi1RNWehVJqzyPUUEYvZozDJ7joHzOQSjilapc3wT\n",
"tG/+63T/XU5vwkTovdysfFEasN4PkYFzuo4+KiYDFgbdu5I3H1e20wjCe6UIcp1sisIvn4KJGOdu\n",
"KbJ4CyU+vtuo0jD2sM1ByFHTTfck1JNkw7uNdzeZN4KXuf8rSBBFxJ/zP1HwnDUo8//4wp8e+WIP\n",
"RXIoc+5b+j2ty+lnEJb+qVmTfLFMkIbsXanB3PPa2OHoV4mhqS2Cw0SI4QCGxlVKz4mAlejxf80P\n",
"XnDxZz+BrEBcXLYDRtdwgzaMODL++lIbkk+7rgc3Chg6gkhQAarCEptoO56P4fXJFHAgbgOd1JRw\n",
"Zz3vcQtN8G9+qQsGJPOP9FobtLhV5AWgeYGaBf6/SsTt/Be11VlZY7qbQj9FLoM04GGdwtCg7RQ7\n",
"aa0vlWe0Zkl/gyQnAOz1MNVoNo2vmkAmu2txCjIlNzrVoVaPk/cZnGSqbgB/j75uQ4BKvZKvVSMy\n",
"5cIp4N77A1stAZOTJcTc3JQtg9cTY4tmY273fgsfmOPLZCzKTUsdZmIhiCoQHkdvs8D/jCUbBhP9\n",
"2nQgqVeRidndgLHiiWl4Cti/WTcD5bzUvDK7dDsXeueDRjU42gFavJdNrL2+exgsnUoqKiaZ/ZTA\n",
"Qa6QzYHw4cXnfTdxQgmnRgceZwrqxA7OjPNjy21ICg0+ViKlxq3m3qyigWYC7o3AROrkvPT8aqnn\n",
"drEWqlX/mujvlXYJkzz/dsTiDc5KgSB7LPURz4+fUZy3vm0HotTZEaSpoKWY/KFzOb0zPQVf5zqJ\n",
"LgMlOl/Vugxb3nDqHfNROjlMw7DEehXvt4y28LaZuhXNg4HtxUiLd/O54dEGlaMBJW8OjJjsg3xW\n",
"XKscdxBvYWPj1imuSugxkZ/s1Y711eF37GMCdwRhkuIBKG6OAil+6t1AHAqP6MIlV2vgoxJrdYr7\n",
"7oPiK1zLVgUQYMFt7sihQBDuW7KlwyXd5gCL0Kum2x2oTXA7rs87NoPO1P4IKk4r4MlH/4NYskoP\n",
"FgI60aAAAALcAZ+0akP/AAgq+b0BUL9GnjYlUdNidkWwAB/sRJuRIjPkL7hN0vlaknkacTIQcXf1\n",
"lrKotNNy3J/S9VW3WSln/Q7gh9dxZV4KUGy9C/1MHIPwVTAACJHlvBF6iX8rLfS/tmaBQuPcYXQ0\n",
"bDYx4XWmg8N8cMMwUroiijPTqQp7fZER3YhbgMUA8LwHYXe0DJ6jHq8BYJw7rXMKtkVePPnmvR8M\n",
"XfZAro6GQ5DBUpTHN20gNLPB52akGD7stsQfId2MZjPgwJgHj+EwNjwDQm2H+g8pEOKbQVAM2ArJ\n",
"IDmgxcHJxHxts4Iv2fdyqbXPJfc9rAxxoy9XBjA73xj071LoDR1Ks2W0teBbmE/r/OTVR4uLUJ/8\n",
"K02JfAedHW61UkXTSpfofFZtLUp8uWLOUZ8F/mcnRV3gcyRluNUs5QaHUjio5sUXobeaBLv/qcbp\n",
"NaLKjhEofajXvViVLCq27EHIlYIOeKQas6MlD+eGn5PBPF0HJCt7FRdDeOb+lc/X5whfQoGGfjTi\n",
"g3AgKYEh181fmGAIThTWVmpO7J4c4kRc2GP1C3a7PJYn3X8u6CUpx7rYa5tPh9u2ZvwXiO7bCuCv\n",
"/869RbyDB6m8kYswLhsLKPx/sKNANYc7rJEEInJUdOKyjbq4jOd+sr6jkgAm4yzWcUxN5qDHHFHT\n",
"CJfOIU2cwgpuGzE/0FyhQwo9c1rkemDzF/ZLrulZYowXqaIVs/3LGr3FEn/wNcjJsWMAFGURK6fB\n",
"qOE9mNbwVAX5Y02Dou77emkeqnQY+Q8eRMdBADIu39x9DgnPkWxvSRaO0yaLajDFxnxEfADoN04W\n",
"wSGFbvy3D1M++7UdtfucLU7AduydZ/D11beGksw3NESbqH0yGyjFuqsLsfE5GnZchvMdHVzX/3mH\n",
"6aJ+KYF7huMbmL7BiSQmKe+lbzf14drLTGkLjsXdzeslrY2D9C8bGsBbDSzXpJYacARR11kHWATB\n",
"AAAKlEGbuEnhDomUwIJ//rUqgAMVqQUVoAM3lwqlwAuS5f5hLZoeURl4dxmIHVXvGTuZbq0HxnMm\n",
"hxhUcGhP8QJGI/IUmZ1X1YIGNEM9wNcht4Ff5elWc+gkxlXwVcPCLaR3Z1xtMHtVHnq9qX/RFaxd\n",
"/MewD7bFpor9mo9MiVFRNMPsjBJ13iLseiBfI+fpUKi43F2LsbwF9Uva6ioozZqs20uCWHKFYzgH\n",
"e0S2H72P1IeKSWdfXsEghlffBOTThdGrm1SsFu1Jgwolj9F4fjnYftMXf49XClkqFj/gaRANHuN/\n",
"GJ1f07yHdmhkGrE/TT3d+o7QkHVMWkyRlOsmeoriLUg6wHR+889r4muPdvkfrP6ybortr+2ExGCw\n",
"HO6UKCHlzrqKS9wzz2Qs0YlWcQazatSuIoJnz11K+d0002T4O3kgLWuPY10HhU5ixFT2Gw2rco1D\n",
"udI/0//+ff3npiRYoba4ajI0QaF1X3JX5B1vXb7QiDrFKvkyuz8s3bkk3nFrSE4udFilz4icPbDZ\n",
"Efc+cDJzMmiBjgQxGy0wYF4JE8d3VNW1ZAjDXHkKk98pDgkIced0cR1jqflJ3agrjhduij1I3Sem\n",
"KLfLQeNsr+lbDsNJd7N/Mxp7eI1XTRwycXLOTThDRvmOm5UBkPnwkmtULkJcW2/mNJqd1kIKjA2I\n",
"4uptwkkJfM/o/Cdxne61Zq46/62LEf6xNtNGXCgAzGzd5ZtcKKNJW0dVj0Np+XR/iz49bfFCvui3\n",
"apTAKbc3CECwu+3dOG9w4LLtXMOzManzwS1uGYs9EXU3LK7I+OP41lLu904lcB+3aAWEUwZCAteA\n",
"rnEbMRJJ9UgdvL5OrqwTmXvkURU3epJduDwa8uYzpDsU7Zmfp/gN2K6t76VHijDVWFfOWBib4wop\n",
"5v3IQAXUbGwnuNXjJOkxd9oqJJSqh6eqAGDWbp+3w4A61ZSIKyDdb164pBOcgs3/4tOL+1hLAVMz\n",
"Tci/wSmu3zosPW/nr8RnpUXbeEjb7vcEj3sr/S+L48T/DCIHGMIQo548j408pUgowfoi2RWsnAaQ\n",
"1ZzpHVd0oFo7X/4zwce1EX80CCJQrrJ2fqQOUgg4t1Y/5zF9GtvjmoLmrFsg0tJJLGcFpwIvGMqM\n",
"3kOzcq+iBTSPpF9KRyvIgOVZIDMNvZHqsPDmi4/tBo1/mpWW+xYB/uUmevSpHp42UVVnsJ8p9p8T\n",
"A4H29xMsjZHKRGKdIRgJPsQDF6sMB8m9+krLev/2ZlLdtg+DBd6Ax8gFXxCJrhxlNZ4AWSvlamgX\n",
"VQVtAxsNjT+kMM+6k2Ioulpy1h1BgcPcB8KYXJm7g+yds3992WhD9PICxLPB3ICOGtBg6vJDFvUH\n",
"Y0ZLzoQjKp4BC/Fq1UXRbEXMVD+OOT9jSpwsp2TS9SfrEtEcCZry0aTGB98CZIBuVqjazbhxql9R\n",
"zAx5gJFyI+gr2Fwtb/QS+aI2urfQetx1kX853VmoRx0Z0d7RsfAneMDEoGE+ItLnRLzxRDN5e1ji\n",
"NPZwiRcg1sw4jTwB6SU3BdLqND4MOlmv/Tg8eXInQDendKwuu5wzNBs3EQRZdmMoDWWisFGsNnNA\n",
"5opGUwv0j7mHwJ/CeZkL9dFVcn6p7f0NC6inkEQWiYQi658bVTou+7yiw76v047V9muXtYSwd4V/\n",
"st5nWMym8RCN11JjFdTFRFZGn9BHX6ZQDeJHD3BZyOwgznyPgUFQPFmRjjZgZtkJqEngB3M+iyci\n",
"ACh/affwerAetTX/TjIqkkK9PFuh+rGbefN7xWeOa2Jokye/27dEQFeKA6p9cUtH6RlI+R49Kpy9\n",
"I4y2IyxALbTAR/r1DOBbSUYwFo8nFLM551kO3PoJObNypHQJ6jOgvrlAFAWA7LVWtTNxaU1bxWSB\n",
"RNsYY2zd/D/Pci98aeBvrVpkshyN47gIYlhI3WwsIMU4Yug+oHEVQrxJNV/NxmC9glxewdnTgZC7\n",
"kszfZs0vWQW9yokuai79Z2uiYmE57M8km0e9iXl63Tylg/4IE3omHbrwfNgIk0NmpYgv6Sicer+3\n",
"Xc9ErWlLtjsagQ1waIjDqQSJT2YGMMecKboMSer4U7THYBSi/VsyVMIqx9ahP05gIs8Dh5HKeW2N\n",
"jaUUOabPGadS9fsdK6lorLx8+QiKVt9h6eaXuFkTrwip31kx7TsDyW8FaIhI7kLOdN7/42icaVJu\n",
"/T/MCfpECH/04PCa/AopeOlqlHwaSn8U5eV6CCAaCQMsb9SoOYwo5xkhiAm5A12+IgeI7rjWBcVK\n",
"IuB4AA1KzEAEEb6qi9HU8kkypKsmZFUPUC6HKLhEnGvb4lg+vLVKNndDx/MA3dBbJ0966tNHkYWy\n",
"BGbNr+GaMr+2By9ZhUMFwJS4EWfoxBp4sKaELjYifdksdVkm2fMzn3mVIJ4PfYX2aYmC7DP2N0X5\n",
"luHc7rFz8rFun6YgNkPB7p3P9kpxbjqx1cp17oVXzP4t8j2f14Mqcv4jHbWFw62jaHpPWLdyzPfp\n",
"KTvk/TO2rY5fC5GKxyoVOCF6+0zZB0ekY1r2XEBNDEshsXUJ69VJC+x8nHi0OljpVG50FQPf8GDm\n",
"sSREKtfp33aOfcV7QjjH1RZ/Ffv58u6c+quU+A6trD+34yapufd6qZGU0Bvlin60Wzmy29dGGaew\n",
"pupSgz0Cbj1pN6BIkAeJrGyWhl6I/M/HUjE9ZB0zpo9ILy0hqoeyvq5+766QkTJ/siETuoRSWPDV\n",
"Vrc3e+V7JPTyjDK6kms9gMzlp2U8n6LK7xOoa3qe/TKSjeZevPVMWCwL/WjBEo+B+23oc1WwRYl0\n",
"0D6hYg83S4ei9tyfMWUFh5QRsY4RUanOrLAOFgkn3eK6pD6B0zV/+R59PKBq7jAYGsCk+IVsOGOd\n",
"BRmFKcFI9o7emPtb0U2g0qyBhitpoar8C9Jl87QC13k+S/Yg2Ox13pbSzi+UeZvZQAJfmJ9ArZC6\n",
"fLhpkmo+CBikH0Y7tf26o1sueYxK85d9bH8yIbopDkbcFSpvzt5HcZJV/ujtBG4PUof53WMnv1dt\n",
"GdYdxABKNvgS+J6dAjhD1Ga7KuB3mP3p5JrmZdnIopQi76No2CcythkILVFOjlWLfKV6/RHtheHZ\n",
"DVk5SfyHjES4zjyUIXTORUAkjo9lOon/FqUIABSa+PJ6h+LNAMHoB/Dp5mwsIurHxcIwYzCe4Su8\n",
"0kH+YHiKRhZQ7jVt3IrE3GQuXIvRJRPt4ZD9upvE7dWqa9VEdPWd37/8TlwVi6pS14HwKJL4DKzn\n",
"6syJ6QvfQcv2cNb5yYuf4ppFID7lNOoioNIkXi/2cky/OcNegC7CMYCYmbnPtvuCH3Pko2OQSp/g\n",
"aP/dQq0srabadMh7FbNmAXO2XaGJPKbWgnSRivAMP9EHrXXN8m38hzigrkhZ9fNwdy6tJ6Gy+ss7\n",
"aSq95+/h6KXihyty375dyiAikSwXhmNLjzSW/h+pF20v4TM3tA/lxaDsgI+PgAD3LmpQZdc68zjB\n",
"7pARakrq0XrYaZXtrz+R3fuU/ilUwelLm2y5HtT38zl2GhX93rRTQPsyg7reWambKiijxbZ4Yrrc\n",
"LTclMUoFBCwd5YKIxvaYTEyJph7p/LrnAT6QHVvNWOGvAAACsEGf1kUVPBD/AAPLf0/yOy0q9zUo\n",
"9C8gVYqkSWqW8tE0UGZWaR1i77mACUT1W3bJA5n93Kbe8Z4z9kuqhlcFKZqVUTT1EA/s0XH1c8ei\n",
"DxAFvIcjPYLYVp3CPKZ5ljtR9PmqxDrRaBHU6WRn1lcKO74Zhce/QFOTP4spQzk/0E6Xn5dS55cR\n",
"NTu2GbrAOTg6uAzfjQywXZcCuTbkd0j6l25G0EiDjomWEi3W8zfquBBgBlGNQbFlx52vtefgvwHd\n",
"6L3i1lOfqeeVF6hx6+WRfax/rTxeoWh1bqa9ci0jEQeLBzhn1zMMgHonBBwzrYuJdVYaEElWUbaO\n",
"BQn/8ZjarWTsphbrxQinbLrJGSVPWxFNNo0SBff4pNEeb1l6HQJpRofer0m8FCihyGDPZBVyp1zL\n",
"sxdnINHkNknslFp8OQyHLWPpjpnuQ2hcao648p+NLO7e9BrfbTyPP+6ucdE16sp5vv7eR3gWqdqR\n",
"HkKsQIowg9PQgzlokjddMtEeN+6TOCD7uht3j02J9cEBBer1/q4hEwaQINaBAror8N6UBi/quBtg\n",
"1LFwVkdbvw/HapPa+JKa9pPjEJ9h3wt6LQ4H15IZK5sMfYHB3ut6mmrEfgz0cxxQH2vExtH773go\n",
"98x8ORLcx21p2+UwYqrkC0hqVa+5/q0hDOYwKZyD+OPXtrRONFdq3XjgYboN7pbfQX9pLqe3qUrU\n",
"644KzdfUGbAuwH6ZVR2a0F2oOxnPxokPAI+qfW/FLa3O09CWX8cJkM4SufAgBC9/dicrwFgKpSG6\n",
"s1IUuutABu/CFKkUF404RT6KemJj2I714AqnPk9LW+J6O7vQN0wQammJRg76ODz7E7XOWWAIAbyW\n",
"Y1y+UPJzVQyO+aRen2eQmScFTBf8qOrJ+n0tqOyEt35t09xl0U/Apc0AAAKwAZ/3akP/AAhsGsFH\n",
"FK8jUIbYVY+Bh0IAQMsR6Yudzb5uzFo8o91lc4B4umE0NZJDBg/kzYXIdQZXS0/ZHuDR7osO5eN9\n",
"t3mrAQJ80y0YaYwTd3qQq4YDgZoLiWhUdKC7jewVdURmvEJSqe7rJziuce/p3bnnFBkO2nVkobJp\n",
"ldW8oZnLtHgJEkYdmlUeFjR248rWwUcAoth8QlIM5YagLU8zB1EJeubWFfRGJARsSKaM/87SuTZn\n",
"omSmbt8TCkMaJdIvGgdzitW+cn9irOH/aE21ItWCQyKhSXjQlJ22VjU0Muf5M2vKyg6JiDt7fHnj\n",
"Z87dB0d5LCyD2Fk6L54l3NydO99jzDaEpcCWR20XJcbaJOsknna+AFX0CWpOTFxE8PQeBKSgvruJ\n",
"8+8F71BhNBi1WIVmRU5V2hmgxtoN7aXXrZ1MeJ75N69Ic7fwNbz877GW2pe+RqhjQ+sgyRlsoF0/\n",
"RoIP2R44g9E/OaTsN/RAA3KyRtcBBI4n22eSCi+XySx7MfzHNtG6qh31K6KtyAYCS1feo7D02qgd\n",
"7H19jwJ5OqqMzq5vNbEFq4pEDZVQ2XdyZxx7JTO//Ma8Gwn1ZFQ/EmNaSwpZVt+smm8siI6TN5Ac\n",
"5UC757NrBoq2ziNuZAPEtvsZkoX0LAnO+5V04iy6MPL46CD0WW9Shq7qc9W1cXeGtQwDeI8ZkPYg\n",
"twED9hhpsF4N1XjBAah8sBOrlOsBvj/7g7zyvru+SW37nwBFTIPQZFaAy9Nx6ZxyiPS3+UywyH1T\n",
"02/vnDxewYB2bVeyPwm7/7Xsf5sn6hwrukSrrGOw7DO90RXrkHbNch6nOElimGw5vmGkVevIg4R/\n",
"FfAWn48ZBBB47Mrt6RkqTHsqicq3fLvWXZtOnRxtRhybZHVXKjcI4ym6a2G9v3SXgQAAB9xBm/tJ\n",
"qEFomUwIJ//+tSqAAymo/FKoAj7ctCcMwb93E1MWbFFex/6U+10XiCdaj9mWmfO7+IT3XHfgDZ1X\n",
"R7nphqpjvYKJhffiqdywjKVNWW1QuutC415JbOUZXaQYCcOoWlL+FhBkLOvcQzOARLCyZDQlk3uz\n",
"a99Lw4knGVCtxNYyzthu67nKqPc1lj3MW+c5CK/UY8ZF6lrzjeW3eAp+09H5hLyMyoPjZMfsPm2Y\n",
"tYTLnguDLUm9V32EVsdwSVCa8UCIFD+xFOQbWy7BwXVZwmWcudDr5wS+H6jDRizkTdbfWDyMcz5P\n",
"+2dx+a4mc8NPq8zP0HuZi0TjIKwQyPaXheY4v6YmJABOv682XAOvsCuCMvL5pAoyqAjLNG4tMFX0\n",
"PxyJ9iG2bWHn9PpgyR3zVjPYwyjjVUJWjzhXzCESJ9dk61i5BJvHHgtMs5lhAWKOy1zL/LhhuGuT\n",
"V5ffSyzMjKb16YdXPbWJ8HBsFxzI7W0c3qOWxjBdY+Hu2ZybqxfO0Ppba1Lt9ElrTiZiTcaK3ixY\n",
"Q5Nhzrxm+pOc9nkHk+mgBIQvhVzlBNdZsyduloaEL/vT3OJGUfvS1c9HezE2MZUR1ZAlRTdZYyQD\n",
"BjBSGovVehXTselqDHhbksN7DyyQkfSfyxfAz5bgOwOKD+Y25rDqU5qOF2gJbJC1cmuv8cDqp2w8\n",
"KUr0/4zEtINeWz7VEHGBtG13sYCdylZprfyqjebKv6Q+5lV+GKiD+Kh0DerI5YkCnnH76IQZK2Df\n",
"sEg1/6x7hEMm0VbFG/Xq4JGa3xh4z+3Uz56/dCWNa2+vFhng/ma4ZmDYyGj059I52P50ivLyoMFK\n",
"TmLgTFyQfTepv97kOhyDEuk6ojg1IYBDUy1beEpNm3VMiLwOmohmYTShXv0ooCiCL2+XG8Pr4aKv\n",
"YpkQTB/4Vy6svjhurfnYUEuP7dGxq8nYIDLgMiEao1Pg9MKCDByz9lkGDzkNMyCoP5pweJJIgdxl\n",
"EyzrihxaH3sNpuHKvJBdJuKLW1GFpM4BIz60sFf972f2c5yV16nTGgM5Cu3GPw+FeCek7NkCtxnO\n",
"ZvxX5WfoEeKL+6zH77kCBzJWN4hCRj57AGyr4J20BbEpn/oSrMUBOxb2ZZElxpleb6IL9RNhL4LV\n",
"ZxW2tSWfDNm/0qKmgvWhfSLNBDd7BRsGQDmGO5HO5f0ZSNjaxZFs63cTt6RPhHNAL/5GIzC7aoCg\n",
"HkPm49mfHGXwCxmAPbH2cwA9iQIHGYE/QOvfnQqVe3lsnAD6IKSHsFu0QWLwpqpvwcy2J+kpwp3x\n",
"r51Ry9ELQfCRoIhoL959wjZUqx5Kl+vd6VsNdrx4zv7WAKjF8jC35/npRlqvX02uOPmfRm+a2guy\n",
"B4cFz0YOwDvGOB300gpJl+XB/fuFzdt50GFB/DS5JKXt1em0SvW/xzU9A+sHP9Nim4HMeCoPhP8D\n",
"t2UcsW67syensvVMhtUxsCWnrRG7GnxFoJKQehbMu+9bu5OHTHUJCIpQc3WV9ibKyBOxJUunVVWX\n",
"VzJ4sHOxhJG0wR9VReakwgTDlISBAV68mUiHDj552XjO/DOT9pMVy6Tc5XN2tK3AfFLnmbBb+J9M\n",
"aiJbExnVLgqJi+uUums2vidsj/74VHlkQYr1ENVbN/QQDr8y0SbGPjU46VsgKlGtgabK+14w2WBN\n",
"MDsKE1748jyNGQMH4HNSFNCderafSOa9FoEJGCT+/du7ccCN6WLUTy8TU1jlWt6aLNIa6F+EZu3U\n",
"p9+dd7GoO4CUHyYZaLe81jL+UH02xrSp+/p7PbQVJxgKJzIc1OXo11jUstg9mTLNue3UnVhZlCVy\n",
"SUuJn70Fmx6UTkS8HWsC5qtYAXkODvpaHpF2chHdi3ckntjw4Rlh4MT4cmUXbfgkSi1QBqInvLg2\n",
"7JDpc1OPGOpZCFyJPZQ31btUPgKUfBBZsM03R7BFeknn3SGhrL2atKJ/7CVpMsY5oHzf5RDcBroh\n",
"YcZY1ocKIMVZlWOiW/dTZnMAxOtNoJ5JgrHpD4l/oP7QSuKKu1k/G4EGH/5EvkqzqOioUbKkenyR\n",
"xV1O+wp1UbN0AvYscxN862O3cQsGBWAl9LuX2+eqzwj74VXQT6YrezVY5S6BAqAbp6Bzx4tBgew/\n",
"jsyydwkrYVdXW0dp2dZz1du87nC1J580dKRsoFjoEEHAO38VhHS/DpEvcvEvTOtq6rsPI94Kawg4\n",
"n1OfxRn2D7f6XknxZ3TyS+jtab76dKWo41hWFbqy5pSGiXg5xIpGtmncJ3NvxRDRFdP/BPqIkBOO\n",
"P/+SG13eWuvV+xqjDnUkUPZ1+qJzGYQF3qrSWR35C8kbHq/lyAb5yfAhrYfX5/xo3n3iZNJ60Ui6\n",
"MQK6v0CKQe8bk8QS2xkbHA071ZwGs2FSSRIhlYDskMziNANpl1kXPmOI7fcf+PpX7+9p3UTsXEUU\n",
"8V1wWS8H+uL33wLoe9ajTIF4eQkZlg83gwuIrhmNqRa2HaxoKPNYnCUml3sl5adXZGoGFr3zCz0F\n",
"6As1o6YRYFpqsxf4f9qX1929/DBtJ326Xl6cWhIHbWUHMHnOhB90GlGJxzjWw1by5ne+o81xFCYN\n",
"JlUltBMyZN4m0w1wRiKUCRgdRd0ch2Jwh7y1KImirCTHBCljWEUDmGD4/bnclXqiCMED+sMU5thL\n",
"7k3I0uLhS5Z5Pmq4QAAAAiZBnhlFESwQ/wAD4X9P8jstKu/sgtweU8KLbn31AKR5kS1+a3TLvyPv\n",
"5rT5b3nsItXPylqIYnSngnqNv+bYidjGVp4ScRxJV29AXSTIXHs6qnvQS05CD//HXrKZi/YwsZ5n\n",
"vMbwj6qmJ2yPWAJhArT8GOGL3wjJQBH9GdJhIrhvjcraXRg+OUbvcyDSMJSpE/fpMUT6CHN5QZvz\n",
"THewY9qt4FZgGD82UAnzgoOcQl8Cm5Bh2L7swCGwZiODQF7zgIZeKe7+8XqWvgaYCZu5fARbhDBl\n",
"iMaNWhKNtd0JDv1KwpI8D9NQ/1qyBmeU4whQ4norwkrGtxaZFILByQvCny1u1bqNLAWW3ctGKFo6\n",
"LRtmuTR71Hd28RWugHTJUkFJeigHgqv4QbvVvFDQ/7aRGciZzHV1vvzc2LYsp90p/K2yObEXnxG4\n",
"Wka5SoaKXdIAwcy3Ci0iEbaA7s7B2x1OSp8ORqxvrO4JvlZdZ2CLVbUA/G9s1h6IfTqwLm/eoEKV\n",
"egclDJbdIRAJD8XWa/7mI/dyEwyo1e+WwAXfoLrIHCvQ2Yb7ETWxO7lNA91yDENOCAvoIDXVEGoa\n",
"8KckhknFZlPl1ixqMqWJPeQJa2DdBkjbfT7OJ9qi+Pu5dnoSpPeNYRQQ778r8yWkl/jLG0pUKy3b\n",
"pMP/DThlvjlJRS2QQcOWX19ShHcE7HniWAzpudp4zrgNItT/j34KbbdDRowI/narHfwfdZD5AAAC\n",
"lAGeOmpD/wAIrBrBRxSvOpGc9DvhQ7XAB8pVWsfXrtqmOpdYlrsfjZGQyIjfaEhIm47lYxGcd+Zy\n",
"aEpWIqQmvKuz0+7o72vl/XAGvOGGn+57ZrGnqfANMoykcn6IWGTvFEcdtXTSNRgzSmECE2E4huIU\n",
"7jLvMwwp2VUu0ui/mu1bdQbkObbngNxXUcVGrVx/zBfK+NXwXXavatrkEekdnaiEEkou8FrjLeC9\n",
"noX63VvKrVCX5fczO+y+vUl22lBDicG+t7UUz6bpFS5jzYfAHyDzw88NfQ7y8ispHO0rhS92cLIp\n",
"LpwOd4R2H2sQe2FAb5pH5SJAwj+wgX/32pWuVvEXP2PZHnxtFa2a00XGXuh1sNPzPpOMMS8XuqZJ\n",
"IQG2O+KCTt6lrQYjXpny9QoOmtypAbHP1Tnnllb3ex/NC8QtT/WyOsZoauCcHDkGe4YYgsKfefUv\n",
"kHU1Kc9fns/gzQUE5Pk4adjxHPNzaN3+czsIVssHO81ivE9HLtHafNtsq+qUYG1tWNUQxhCFsU/y\n",
"oaSd6/GZU72yNXM6dpoUD7XPu17v5qEYa8QK/H8m7pOWa+SOoQ9fvIZGI/XYkFDJ6+N3/1/B6RQJ\n",
"Mo6+tkxCMfQ/OhYUUSvunyeXFIJG1Hj5MNKudBu7Sbgs0CeM//vGvyozSwf5fd9e7P620t6Raiiz\n",
"YBbdabx8mccmUbpofhESW0oKFAuUE4DWTEkObK9KfMrqjE/0S5dOL5A+Vqet0ebRS0gDa54Mh+/m\n",
"egGwTaFQV/cJXq7xnr0MfBRG62m/Dk476NWDZQCHPuYgMPD5kFKlWplOqFYHljMxGTnmz0cv7WRn\n",
"ZZKrPTytVlVSHmv9LZCjjj/r/dwczjckUCOBIbRI+vXe9wAABmFBmj1JqEFsmUwUTBP//rUqgAMp\n",
"S756Z8J3ztEK2L8hM2y57qjDZZI1wYCaUoc9/jhycDv/OVvUfq3MB5mObywfONopwKiY3AAi6Xqf\n",
"8JNgey8ERNpEKbdkobRtbqR66HcVG2cd2f0ox2tB5DlCpX1tC34899/6Q4x8imxsRhVFsaXJfUwm\n",
"3UggV9AcjyqNmfURJGIls79tGZB6HjVonWEYnd0z4PWgoW6tcvgRAckpBPHb7DjFclQ+g8yCj+GC\n",
"8N/e/6yO9rPBpEXNmtfMKwhyabUtBLrgAIupNJ8uUpKD52zMyRseTiAtgDzVzCkmss5h4+JVBeyA\n",
"RJxW0V1vmj5vkNSQr3n1dIE3p4Xq9nBYx+bDkgxL+Q/FJ5dJDhnXawrykYXhxlH3f18svpmAYj3q\n",
"6DcZYc/7G3PRXiqbL7SxoVG/0FgWb14HtEKkBiF25jE6q1dDGltMTUykJwrNNLkfvkag3XssuWev\n",
"FjicDkOl401xoMFZrLYUvhwa+IgFyvS2n1Z+WIcf8HTIsytYCROJYCkJkTvb8F7Dd6dr+5QIS2KN\n",
"uUYTWzO8/MqQpz3TJOvmp55XzGjhiSYo1uUvTqONi48W0xN6SBx3vsUWYYM4Ur8WoOroBlaxbknG\n",
"Fmb0rSXT0Y/6ldFteZmfUOjXIKW0p5CajVFKZQiT2mieTL/Q1vOIQOS6XQekmp2SJvjS7fwIk52V\n",
"jXQ48loKMGmbId2O9rPdb6EvaywW2I+4jgaS9pcbiyVFFSX36Qf+2EBjJr7qYtRsi3udI9f55ltx\n",
"AV500OCIxSVtiMhNZcO0oQ8qZF8Bo405BH06JWIwsXo9VdH4g51rT6CP1NGmRP+L8Vm9uH5pjLJF\n",
"WRrTYzYasjl/vpGgQsOG/tIxHqYuDPuIrpre+dNQ6RkbsJAdMFHBZt5mfHxSGQ7CJCsJX9ay9UO4\n",
"J2jgMO59ubaapFC0MoeRt83f6Y5orvskAsL/f7qq+Z1ZWqpQU44kfYYZ2yX9l8iPO+oRA6vMY3Kj\n",
"BhkTWSGCzAF8u2u/cWbItj0+rxn891FTzfwt2CvNSG1p+fNt8LHSfSDyiH2X+ZCGaYV42ltku/BW\n",
"pRo2xj9GP4UX1H/5+4g3FddtOhh9cTQob6gd4uS3MmwDQdY8J/Saq66kY/MqO+bL5ZeXUAujp1tN\n",
"YmegqoUK7usEfruOcoN3cBMSK7kH2cHBqKZmgVrcJHQoS/skI7hM1F7oFc3VlHoCl9iLGeSQIbvK\n",
"97c7fAIySmAuPwUigDfx5tUyr5LXN1/An9CxcrYpRMKnqwWF/4ZDqUFzFsFhmNeINh/T/0IQXc1F\n",
"tkMsDc5KZHgEF0KgwqEYBzUSHOmrv9/PR+/XfFPaSJjKNUPNASz2OO+x32SnVzvrLxagjyRb7gDj\n",
"Kp5AonkeWZfGALQERJ04xPOeeqAAVH3Xk6QnDrcHy3P+z+lZHqdLKbfQXF2Hli2zWw6/aIRQSLa6\n",
"hbzAgGtLpm5AlaAX+XJEUJqZ6AIvgf+qk4LV7f+lvMK1hK0JkeMKFVVz3w1BMoCnDa5JFXaqoBy1\n",
"6KsenK1xkZ0UGeH0uLVhRxnBs6VrMVpO9Qyp4gtluuYql4DrrRNMU7vYOFLk0WYR63yEO3hgGdG1\n",
"yunsBsG0WzMwaB67/5NftdEBxuk+h5UYzHjBLJU+9NetEzvseec/t0JpKH0ONBDNVqfe+DvtV649\n",
"cpm2syseaaQ/lBJpWAw+ORaplXJymRnyYi/aRuNqmK1oMs96v2z99giLnu4fT8MKvhCLng1rC89F\n",
"2PQQMlCfCfwsZYoHCLEIq+SETewXjnC+Gfssps82EInRw9EMidU6wcxx5DSlPgzniSUJp1QNm6ol\n",
"A6eCy4nClIorvgMHo5JgZX2HRn1WACauqgG9MUY5hP0QyxsSKtyyRdSAKaAVZEyWGShBheckUeB0\n",
"v0N5FmeUik9X1haGy7S8DycDFbQUa4Y6mtRKib+/chxpGnAbi2wjZbNE4zSMYDDusnxh5qTDKpvI\n",
"HzAaZaZEqt4jhfth++1jkTyMD+1tNJ+lUGpm6zEf0KmH/uAyGVpEXYUP6+BJCUHS2Td2VL7+7kGC\n",
"a3eVgvApdOiTjYOAjhxukKx17OPib5NKI3hAW9e1n8KgE+NtKit3QD3rc/tezFLGQhuo20zxQZwD\n",
"9NKAQc9VNNDsoEsiEBC95w7hAAACdQGeXGpD/wAIqvm9AVDzJ4k540RfN0PAAf1IKul880sE+W2t\n",
"yKdFdC8SSFHcq4f+HUKeRhyBoOrk03eVtr8CtxTdAtWtTPDefxa5ffxdx4ujwpYXP0/E8/rYoaSY\n",
"hI3WZCGhNoIoSw0/+s1yowpPOq7luNgc5+5Q3/0QZgJWXDKGCfj7/m1YtrP/lo2u2u+PylmEDtD6\n",
"/rBaNwosjtgQAYsIzWgRGGOA0oBiP8RjDuh9oMWD+nmA2TiDVCALco6QUvXNa8PEbguUegFALlWK\n",
"/eBl6kWhjyx9Pky15W41mcQOVZxsU9oW8F2NJ+J9n7GJbbtPJoVp66LS+WbHdtze4RYEXqJ5vqMH\n",
"Vhb56cghTtPpeIpjTtpTZaVC4qMoDZVluNb7eJhzE+krTsqXlb/onZ5hrH6DBNb/eptvR/qw1E8n\n",
"23yePWrsFe48XAAI8xRZOMUwyuvZgqSFVbo0aWwLNg0qls2lNp3UWPJRp5zixi01S10Bz8Nmf7C0\n",
"BnRhP4mDx+dYkC6E7NXN14t13g0m1lvVCjzE/zYwtFf6NreNcAJ1w3s0fsZ1vdSPAmmkClIDVaz2\n",
"OPpmc0h9rYPXXu4NmepG65M0pwcnSPEj5p//YETU32pjscmX8VJ1VpNCxI1s30cat+bGamYfqubf\n",
"jAN/tj4IVu1FtApLnAq7YHFN8QksrE0q6AtkEpVtLqxxOyfiC6kEhy7DqPJaQMAWqW0HcFunSYkx\n",
"AndS43kFkzUB1nkSEkOcdCQoDXP3yaFjjmdRRVsthWF3arRkhOTOFYn9FqRsTq1qV1Zxky5VLgyK\n",
"A7MW5PwJYtdtKmCm3DGCVvDQFuWWsHanAAAKnkGaQEnhClJlMCCf//61KoADPakFFaACoP0prOW/\n",
"nRli5QpqNEgOr9Z5PhhTiLz9dcn7bJXf/jTEdQhbJI6FGYahlUO3auMNrcmHBjQSAQkXpwXFfsyN\n",
"iXIr0eCBTenD3XLV+kKoOW1OBWWq1xauoQ/XYGtmRoYjkkFBKB9+LT/5he3NNUfT841xJsXa0hyJ\n",
"qaeTvjSBqxAyvvIP7cXDpYldlalEAYCBgE6fEB/0Wmh3DdBOy85Yly1Y2557LnTQPMTByu3w7XUj\n",
"bUVIHtphM/OOovK6IsJ7umOR65Fowu5nc9nZ9vCPxdcEjPCNC2wWKLvDbR9jwHwjyQJSs4bkbNHo\n",
"u/TUmpLARb5KisUUzow3xHpjooTgDnjwMt234tETBHadFLCGkVwV2hKtdYwrj6ay+YNAe3KbL4gY\n",
"zIdiA3QhhMdPRBEnW8rQ7jG2yTskkAtv2M7jSbmVUyGZ5qvo8PrWqvA1nvvZOnDnNPooLeXvebu9\n",
"uUDP7JgHGYZ/ny2W95COQXBMjJ6ED/bcMZJeX6iG83aTj+02IEEtI7KbZXLe5VxxdZEoDvQsjwSG\n",
"QqmhllWbvOlOFpZXN7+6XmZQ34P/ntaqRfX7nOfnzCs2wrLs5XZawEL0c0FBaKdon7cTXmkZ2gQx\n",
"inaT1zKXCwaYgRMgNxedd7VL8glro8wxgvM+Q2+hrN2rQIT66F6xa4EUaQWXuRkDunq33PuD+ub7\n",
"96sdK4ofTGDkoxmPBHJhNkyNDvIf1aantjh90qKo5c22nf6ljPOKr3gEgoMhePlBtLxzkj7azyre\n",
"rqpnNLASKNgrTA4g5/1w48vjhncktuNRxMn6sJe4crIyYvofay05oadTV9y8ieh4p4t0kmQLaRpd\n",
"0x6sdbmPkSZj0Kub/tz0lJiaycqK00WeE0jVJ6ZXkb+v8bFh++Y/X0j3qNAMNMSYCLT9pR34XBZ+\n",
"AGc6AuyaR3KTZi/84VohxwA97BC4vMoKO6eTiLYk6TVIT2nSR40APua001xRxsFPCRBt+b0OHg2n\n",
"mvrzbjbln6rmB57bWusbgPFO9wzHmy2IZdzx4lxDQXzZffEcrYprEPowsNWzJA4kiH7TVdiMDfQc\n",
"GjM+GH1HI5mdcfbvcK+0bkSrfLll4rE7Aoyf0uzRUCnawPKpDtyMoYGHMjZLGh82hSgt9Ux5sj6w\n",
"bo3doVoJr3rXkWCCSu1AEExhrv9v80hcnu9vi1GJa3LM+Y0pYSoy22AS3sY6igD8nrC/bQUePzTE\n",
"IQWLS/5drY98DI8KcpLYSGJapQEiHp3GJ9+Oe/0oEi4jfMkxkWLR5V9RWgkalZnYaSW67ZtPW8G/\n",
"/lv5Dhw4d18/FMvhY3MhRLo4J0xvymcU0URQzW+titB97Z+TNqB3MbQ/GJOJSdOYEcw2NnD3VmMl\n",
"bWwMqoK2KunXGoQqs/3HgeHiwMIrLOrzdN/7wjYut1cxOOeDD+LXDzX+zRW8TVfX7/f/EcTEGqMe\n",
"ndDF2KtQ/H2lWxIGJEoxpEhPE+8qtcS08vSslu/aI2dQJQ0t0xcRHpbXWV6POQLWjozQGokRnxyC\n",
"KJpYOCnpqN7qGmDhVjcJHQnVJZi74nVFZMn2ZZV+VMBH1/m3m28k+1X++pA1+F/rd12RuYGwBKmS\n",
"0+y2yiYbq8e4eoB6ktPmH/SL0zeLx56IHArPIxEuElIWp3pFzneND/OmvdaWt/7qtGXFnGNvrjfA\n",
"IHzo67+sbY8gYZAxmR5DbkEqvIqRCm7Gb8gkduS1AWoNyHLfJWnC/0KvHyTcOInzEjKTJ36KB3H3\n",
"TPW4GD6ONnZSZxnu/2GCgrOog7z2U+nmBx8xQDy8v70/BTUUiDWd57XLHBC9Rh+OaB0wAl+XVG0n\n",
"Y+enLV6HX8T8Mf0EnN+6eNKo3yznJIAtOB8YCzHSPhMdrZs6Iygi4PGLVuYOpqbz+7pA7CDpk96z\n",
"b6H1ydKsO++cyY3l5XWq7US9DQrJNMQFuzXzQUd+ObCL7JVxLi4c85HVJ3G2UUbmPh2e+0LocRuP\n",
"HxOlIGuelJ2dlfixIoB+sk5BGs9JYnJvo0TuzH9QHRqRmC8tQMmRQtu9X5oIylX7GftVBjE07dhZ\n",
"r+Ro3i//uj0i6+eF6CNMnYsY10WTtQ48k8l0scJk+mCBrN7WwuNGBlNZhlv9szySzo2Leit221LT\n",
"rE2XtMA30aDodQiu3ycr+gfn2iQFCmsy0Kp+WTJ0kQtN+BIknskkgA8ufhDRVAxVAzDM4WD+AWfB\n",
"49nmYbqfXgRP25xgYuJqvVCWSaec79sVoHZ0/fI7KClSaxkkIB7RC81hmfT9EoEtgPLILJ9k153z\n",
"8z3igDMKCV/hlbp8PRGDYE3HyIJ/n5kJnRAeZSseUO4d2i/HN5tSOU9GZ2+m6/U/TJ7zCWZGanFn\n",
"ZHpexfmQwqJQ+xDfTIVKiyQVnQ/f3Do/VUrcyAVIfGgaGAuMUYg0nqzl4/2lDAJCgaixi63kgCiZ\n",
"DoM5ChRaNAt2+yVjWQOzuQIU2lPOy5XG2CYvRjxLa3+ZU2HxFeMinpfLeAPHsj933wkmJni3myCA\n",
"KuD5w2At5AiXUkX3svC68085R/wKHg2pknHeatVOkSIimDbL+5dsfJKlN5PQ4iuMu8dateadnKw/\n",
"/Ff9GEQWckbgOl3aY6Vb/Kkmv1Yic78geljumyaGtixLNgfQ0zDH/YRRBq54gDPqnN8s9z355IKx\n",
"0WscZ+FyYlM0oncdMoDX5CImTJcMx1uOSst4MxhHQUpfIx+gHfirbT2Yb0k2fCL6Ad4rnE4GBxBc\n",
"J5WAVx7cg7cZeaRb3dconI71ZU4hz65gPloW8P6+okNX+CtVqadaDtocKQIagnh//JbCGENej/xk\n",
"8cYuR+84om9NfYT2p4M2UEXeu9Rls0zQxaDR1NxiCXzYsHPgLefm8McZRMYKpYTSOt5sNCcoT3mD\n",
"2Ha7UD7fZi+tu7B6Ke2/800u0eeNuc3LChRArkqhvxGmFXz783yhWYv5Il7yJi3/rLgvqXmdCKH2\n",
"8AAgh2Qvxp6c01BFUYE4/Pk1J3Lb2ls7NfHCI25QkYgDK12WsOAW6P2mm3XbuIYJwnEcg5HXznGI\n",
"4TQW//9svKsQWYiJfW/SB0NGLH+ZzAxmBcuKXTNXHUMwoGeP9FFp+7o3bq58+9rVw97/eNltOW9f\n",
"JW/CJu4hXip6z/uC/1mWcoNeaRwef9jaiY3VJzDFsLaOfT/c3zSnqDYdTU6gU0IKc9//cwD3H0Ra\n",
"ywGkkdgW5Fu+lBOyWWcnZyuXD8jocKsohJjbsQ1QG/xl6c4PqD29Mc+0ZO0UvZbTezlZa7cDwU76\n",
"GZzRxXJgyPuR42K1jTXNUCJHHwGdZbQH/6zjFCZcLy8vMtuBZ9H0/DunD2EWQupyhBR2SCWjhbCD\n",
"+Q9Wm8HoZpyvDfRL1r4v1zCntB2KTl0/3dDn073rJBjotHKYZcqVUjinHfzAauh6gV/9r2kOmXDX\n",
"8CKDe4ym4iqI1uYq2eBBgcPtjGALTYmVQASZDoIEmuF9obhSpiDLxXHEfZeU3iRGXi8avADFYR2Q\n",
"2wuJ1Z6NFS4AXCxPbIX+iNxmfsbB7TbcJMlVexk4lv1G1SVyXpmhnNexLpH0ds9W28A2sa3MFtv+\n",
"IJwkkMolJdVYwAAAAlBBnn5FNEwQ/wAD9yN8wZLuCGtwwnL4m4mxvaMAGfgJf4Vv4/aE+9zpnRUw\n",
"jdtN3DxCKhbvgAeR+htCOvP1Yc8ubtQU/6tW7sv3nJYY8tBYEutPOIvfz5pNbXmE5mdTQkwOineP\n",
"jcEEFKGeniQ5uu1G0kAX13307B/OBRDCPyHJwvYtHxjg6043x23s0nEvseLe87tbRNSfYA8R0wAA\n",
"+LaIFgLVv+d1vS1N6xY1uFKVP9ou/EraLepvNY5xM/x0WUR1FE8adx1OeZ6A29mRoUJRNw1cc8NW\n",
"SPv0JZkbz2kLPaegMqstocvUxD5mcNT85peWvxWZx4Bba9nSrwnEF1/c2YF3PXJscQaSP2dJ3Bn7\n",
"4h3duk13QsLtrwrmjUg6QYpsFPNwJTT6ADm/Y2glKi4h29Cbie3n89e/c3631Szs0/uNw7YEME1Y\n",
"c7YOjG7d2XXlSZ6tyJzQVU2vf6bQ5YNXv/7CUBjqQKO0tN2qxJywbiuUBFnP4ALnKCA2XwiEBktW\n",
"dqrTP8Ts2d1ExByjsilz/bGFaf7NuekYUqaFv1qBMs8jU5PQtfuArrNe6e7xbpBAOxNHdL8+wKG7\n",
"aIvszToa8PJL53jK/NgY4e2OXRH0BC26wIyR6AShFjNyOgaU9E/lZKl6P/cbT6CepvaPFuTpYVAs\n",
"d1MGMPhX4JYLRv8CvO5ihv3OCUq8Y+7f+1+XjDGCVabmKsgRFGX+jTwVRQ7BIgRpFF9Mgbfnhy4m\n",
"FgbM252pDENp18naEGr5QsbkT0jBjIG/eGfRvbpF4N2FnFbmAAACkgGen2pD/wAI57ZTeafdmxPz\n",
"+m5227wDGAAEw5Zs62KTkaXyGhZq5ba+61cXBStXRBXmoQxRtYrqdtRDgy3K2l0anv7Pf3d9PGLS\n",
"87UDSaTHHg/0LpeROHbC9pWEFYIIinXzButrQyEhdsDkq93Ow8ThlNBMLd/u2/X1iHpkA/P2+tRL\n",
"F+1TUdma7ADb2gbzc1ysHQycixjDxDj8MDtN/9dOWBDtPXgKV/8e28D9qOrBNfOC7ZQB9Oz9N6w6\n",
"s7ViiF5Bk4nLltqgWe/hyPrsQTjRRQ2+Fh9TsW8N0F/A4ajiLAwFvYdvhe3r46uDJ2iuQ6zeEMu1\n",
"UbXUn18AItgFo+zWrB30HY5zFqNJqm0GVG2kwRyrczCMP6vOkgzbVyLbp0/sMa84kHkDSlk2dLN2\n",
"jHCSUHhXe1+OTFGmLgMOenracBN8fO5ExUd5yYRFV5ZrKw+TQMNBN2QZur5e8D7nF4dQ4M5nojbf\n",
"Z3nTSr8qpMPoHcqEqpRbsQY3QcCiFBBTXLe5zxIdMU0lOVAX4W5QV1mhtzjcbI+XpDZ/Xa46vSv+\n",
"aDsFsN1QKM+79ulAlN6PTMC8GRD5lww8O6S0gA0XHfOXDvfEBFiz4bQtj5jhHz9NuoSaeYFECqYk\n",
"SXDOtJuHe/w0u1dhHpyoDk/BeFSFtomB0/BBdgjD3iI/aSLBvsZCBZ9ujKg5Zh/gDltJxYw+TrdU\n",
"RMW1Mi5sOfRaJFfgh1DxF5D3XMHRfRveVpqdwNpeRuk5g/GL8iJCl+iZi6qmKP1hm4ZrBObulLBR\n",
"15LTb2C9WE7U4lDyzYJd7IRqd/XCmNuHF6w2kdBjl988x8W7hqjZ9ynGpQPsGgqp9sDJXjoN1EdJ\n",
"C6o++jRTf9PHRUSZi20AAAheQZqESahBaJlMCCf//rUqgANp7FwAEWhFIdeVirqB/lUzWqQWm6Ob\n",
"CeAQMFBzy5Ywg99qs8sws5s69hEUrffxSzqTvA63qf1TwM6gDdS3pDAr1bi3j1bgPhgBm6jVIoqF\n",
"Y20YWfE/EAWyg0m/JF5U1+xJp+I9RjEvTCGSPdJLj2X8VDQw7NsMRRGJwoebyWvjAWWpqtIa3Et9\n",
"R5DBPJhlIN6r+wEcwJNUHULxIATdZY6zu+824AvJo1Kfr2NLuwb/1L2CdvTEmlfgjsvSFt+s/RO7\n",
"766NXCI0vMpuzrw1AKs3PcKfy4xt1cWYcChPt+EOby7vD+KVv9GknRreoMXZdTrM21EIQzZyqrzC\n",
"692PQ9oo40uduogY0/F1UoeT6YJnJ/5f3ivlAidZX4MxFO9PP5zs4iDeveVNCY5rPrZJAWDVLpxF\n",
"TRJjjBR36GMgYBUTz/Na44G9NPKwvIYaMcNCE8A7qUvebWGg1j9jpnHfr54RlcqnaVGsbR9Me/5q\n",
"QDBWdhjqqClJSCJMJ5/O3WoePMoNM+8feEeaJegDiDO5rMztj53lJwlkCh6lz2uDu1J/LQLMz1BV\n",
"bgpTQIYZPjZtE2eolw/0UiR1ppMCFvD7tTOItVONbxYb0KND9hZSwoCvn+03zGU37weDFoAbNGWr\n",
"rFd3vsG+QwCf3akXiIFSRe3c2/zwsNTn2zZ0JOn4j5fZ+8YUftXw5XFJ0k1vv1VFqXf1nE7N403q\n",
"O6CudG6Yzi3deasQwCLR70fNEZvLYAsexdxdZpsKa1R56wXOpHB4casiVr+T41XRNSMwoLSS1xQJ\n",
"gjqquB4cQXXUbkKSkGP6ltJCoybqlbsd1iglkBQmNrIOelSoJRJ9lyIeGobgJ29XcjoLLmXvvWO1\n",
"EEUnH87KD4RhJJQF56c7WCfZBNBTXOY/46BAbvogyfh8INU1GKLAK5y9sUL3/XeSsqZT4z0NKX5h\n",
"Aqm7UdLlVXBKUjhdvkMMgCBl+OoR5BIrR2t1lF/OyHcRpJSD/ien0fTlr7H9Knj4iRh8pYZEdXVD\n",
"Rkt/vYXyJdmrhKzCs0Cqq7+7UOzcaYYqYzSlyqnnUdCfbY61fqvznsCVpOQAiDOLkndEm/Y9rrM6\n",
"Wh+oMz4RUE1pcBOc7hPFMUEEPBnuua44/YrkqRsfW3Wqer+b4AqKggeugUAmNi97+Ef3esrJChmx\n",
"4PhCWF8PtxZI+uGl32qCOdwSRq69270xN7lPUW66ExKz51Mr4nJYeZ3y5Eq/Ruuby+Y1cheNvnQW\n",
"/JG3sDknKTNjmOALEAd2fYhyIayA0rUnJ/TI8idCXw+hM/93p1e/VuH8R74fCeBjzp0fUzfdprQZ\n",
"o6SqwxARReAlBaDbH9O+sB3AozRXW8KdEl6LqCjguKNeZst9mgAEs7rpn7KJpAbEaMedg7IBWN1M\n",
"lPmxqiAwRVqGaeQsCNbZQ30YLpeciUGtEpPeakFit7EEr5B4I4xbB7P8StFBQrdWa09mD8bPpSJt\n",
"8rv/ch3LYuYRK6G72IUjcqL/wHz9yxUaTcW0YoWVXqlVgzdv8jGCUtlYKozk7s9wMxdOxaKZaneg\n",
"PuaTmarxeOeV9xfCp+nRa19mvNOBhsyXxDR8gJHLdu99W/ozuSEaR8W8ExyfBlks0RcxuVG/Qr8g\n",
"MI7JzufhJ801cJC+3aFl/w0O3+xcm5qs9OmWj9NZfndwf8zb9kW4u+kPO4QgfPny9wX332Nm8BM3\n",
"yPRG8qsOtR73zj0fRuec//wAzCmXyFbACyaA7CsM9Y7PmkPX831lY40GixUCRLVZmvOpQOIxsMgQ\n",
"5ixl6xdsBcSOPmXBraSktz0QP3h3fYj3jw/zfu1R6y4PYczYGrVKxSwjr3G5IivHg9Iix5LqSAGx\n",
"QjvSt0KkgnILrR1AceVw5KDeZPxITEyf9rhIM+qZ+45dVkCfjP3+KuFS0Cm6SKJJVkZA9FC9SX65\n",
"stfP6HWRwCdgamS3izmdKfQ4XSvmhFv6QDyORmBwRhqG53F6twYsoNewUT6JL9Ha58JeWaZSth14\n",
"6nxyAE0xa7sRHAX/wDAZe+SVebbT14I/NaMiYskKRcaYVjZwMtkfda3yLMlpEf6i2dhhqjsm+2hn\n",
"ZCFeQTHRo8IWX/WcU1I+lOB7YFp8vrNEMtoGe5qWS5ZkbNcV5+Qr6mVgQ/wcPln1142SMApK5EOE\n",
"2/h9tv+SzKhTRfO6zENHK3nX6Si3cye6wbIrPbER+yooVURSysZ8bbMbUHBgyJDoy4NUgGlVc9LG\n",
"Fz0vKqt/F+ocwkpo5F0cZweQH82CRQWAJ9p+jBz/gzKnDnHxo6XoZ4Z5y4ISh2OOqwNnL40hV/uo\n",
"aubD6YLFGdv6nfDUIzQr4Yv8PVwu+KGVRhwmctOr16qHw09g7gfgYEvcdDDVCLme+p8yOp5k4v9N\n",
"xzqsYlwJrc0vcBCHE2ZsAZWXFFYDcK9irTlDwzvUPAhNaFIygKnla9ioS6/49Az1mwDhCzmlIgIm\n",
"j9uTwrXTtRVTeWILkpikBllMriGlD2eWFmJ8WoSAB1MAnQ7Ssp0xhKwgLcMUn2HhG9QSk0HDBbzo\n",
"C9Fjs2EIuQZhbuXVmchDXruCQR5XpszqE+RDjDBnDuWBQPBLBDQaiNT3UUbcMbPms/OZERwn8KUH\n",
"JSju/daEL//Q5OEcLAFTbLkZo1YzHGMkNN2aY8MLLcZTSUUJMCf3xYp6gd0G//rbrOlY2eq9urep\n",
"UMe/HK1WNHSWmHQNNIX9AklAJTSrlxl7h1jrj+hxpN+Rq2W+BU+FcR1E2jWdsmI8m3PRx4v2p2Fn\n",
"dsf3iN5NqG+HEcawO8fI1DGLsLJNBro/u40HYl51nyGpKio3msUJH4WbY2ebOHXxAZLAAAACIUGe\n",
"okURLBD/AAQ1bXPG58/QEJ2ilA6VTXNei8x2uquPFRXLAtHnYybABATSEkYhOyHekZT4BA0FKIEA\n",
"Lh4eCqUsaXzCClxycDShy7O/8vXJC1tKXrmEtTxwLPMeXFj/elOeHA2csombJh8cRPykMXuPD85I\n",
"i783IouLra0bHRaEXye5UqzDdqn3MNn4nak3V1y9Bw7BQQKE+fnZO8nJfLIjodQ7QMRqi2byQvwC\n",
"/BxIu1bjosEWKpDDY8sSJvblFfQt25Mi+9srb/LtLE3OFD/CB3sMCprir3k9AxPwCv2D3RrvV7nT\n",
"guAF9bbEbb/Smmsq+Xovce2WTMKQTwRCzDOMRpcKz/b/jK5GQG4FJup1edd6DGLllosBTfnlLd+d\n",
"8DYAgEt1keyZ1fuVbayhgOnlj5CLzCdreBdNiqGE1hpOSZhB/UK4bwKdOL/1cJNhaVid77vLA68w\n",
"Ifc5WFtXVlYOBqkxfbb2uoqaLkK0j2Z7QbWCzQ+4a2S5KK1L5wAQsR94e2KvRErT4ZgyeFD8NSdu\n",
"O9NnryG4fvus/pcjhTs8jx1pNB8DnZI7O1QhrsspzDO7l8HX8IHFe3/GvQQesEUTKFkE94X8+8V6\n",
"zXTrYL+fKEpLEN/Ny98GMs/fLepeGs7jYUk6vfTxxoy0AOYuF09KwCgMf4Jdp/sr1cJTTvz5ZMBg\n",
"++KF27kgryLDBfwEDiBkBT5h1GrASwWQmRLQqBuxAAACRQGewXRD/wAJLCqYn6XELCQ2O+2Hu7iH\n",
"e0AJl9IAEojKQTGXBpFNvbAcoRHSy000W1o46STV4gh2G5j97pjQmdg6mcHjGDoA01YvyqUjI+KU\n",
"iODWe4h5nddlc0uVunElg/ur7EiWdFSY5AD7Ii3O01GHnEREiomjdNZrb4g1rATiXhxCQOQr0WE4\n",
"vWRhgQR+cPY71Eij//xMNt8j5O4xlaVTurZDrY9UVi2DVI5nHLbsaiZxXwge4sdOUetIbvI42vfY\n",
"hMfxI96Gkx6/j7w43coxyoceXb5uv+AwGwe2POAkOejHHQbGnX9S5XCEncPeVGqqKYduna1SyeQJ\n",
"5Zt6yg06NNoco/PCqvfZ2/jB5GYbCJ68LRJKfz13dRanFi63OpuOr9Q7/+0vhsPHP68fZFwOZ8tU\n",
"987NDn/xTsrI1i80cTjqIIqq1RA53m0SCQ27baiHxtO2P1dYpq1HKGVE9f1NpmLLkkhfkzBProcH\n",
"z54Tk4rEYvK6wL11+VZmZtDAGjtf9Q/4w35NZ+38FKltsQ/OUrYGWExUvRDpOwxzsFloUQg86gMU\n",
"ilfweGxkwQ1BMM80pO4HzZRyBbkImrkBv9IPRuueudSBOLUKdgISlrmpoiQareavxhd0N7R9k9m/\n",
"+TJOoahV4FeT0cgR68prD9KdRMZhcR9gOG9ZDJt6mhjg1q/mr9LAzziJmV0PQa8fY5Gkd5a/G2Ks\n",
"MSX3TGEVEU8wnoDUPPXi6z1+35uagMczaN9JL/zR5QAqRKdiLDNA/ojEvTtgAAACOgGew2pD/wAJ\n",
"bBrBRxSvN0Sx1nImtYJIJrZHwABD9lSLgVBQLHh26ibtJdniifnCHGjUKM3K8Hp2nsif0rhyNZhw\n",
"TfNySW/tH13yVWgQLjvD13bQo2BA5zlz3C9zbGd51ocdIJtiDzGErDnFNLQ9tWE68CAtyuiGj/q6\n",
"DY5MH76kxTTYMMIZi6aoi6cNVFnF1gg0G+n9F7KY6Uab05Xpa+klxylxqEOL3Oz1avHoWUgyfKpi\n",
"NfEx8RMTQTVTEWr5IIAxBXbvVcEX6iaFt0nAbd4Tz/9kx8Ot6j0Oe0bZei4FOsBiV7JaRzMPQfLx\n",
"hMyLHu6qXDyY5eJz0FmdPt6eyw/lBgWRo/zSApU1AQFl1SmixupMjD2iPuUi2ogq8W94tX6GsenI\n",
"m3ZVQkCy95N5iC/QR1XOO5NhFn08N6hBQtr7b4rF2EJ1j9SEc11h+sKBHlhYtVOF6scrNy/bFMU1\n",
"BVWHXNfX7WQcDFM+IDeeSNH7RCCMWuKp0hdwpbyLn+GzYg591r18v4ROUR8mEJ/uWHB2mq9GAAUK\n",
"mBsNv+Us7FnrUnZFmmH1r9G9tMapm2HKReU28cu1oPQ3pRFLrCAYuRa9oY0i1VnnQyFC35fmTUWW\n",
"eWYuxTlTdShuI7AvdX6sW4Z4IfWh1PjsiPQw63aaogO4sPuXTPZb+ZaABb5Vmm0nTNDP76z6ejAX\n",
"FFRBC5aZgoJ/HYqopegH4uhvkFEOEqyA97c25r2VUcXQqsUtbFUmCIR/W0NJdWS3gQAAChhBmsdJ\n",
"qEFsmUwIJ//+tSqAA2bqhEnWBNEALlfjiGVbP2zrocyj4VVh6MdcJ4+7oFzN1rydm9K1W355d+Az\n",
"3CdtX/dsOVyvBM+piOY/TLpUt4KVAjc1Bqz33rs6IXbWSkNmR1WuqAbDmrwMZEW+RiFNziH1UfVh\n",
"g2hE/8EURK/aH7J29MB+w056xJOKYsp+6tRTfF6Tvn9wKTXYNCemWS+vR/PMgI4jW51w/iOxqn/j\n",
"AYhU7iinWQCBlp4iAw+X5LJp+qjzuobhoeRM/8s5qAuca4LaxnbimSj517n1daiwXHPnLAlitWJq\n",
"dX6O2edwus8NtvFsALCmf6wACyP2r87NtUArQC5+GmbLeg8CtaKUdSSVMxt2mH42ezyRT4NdQOKt\n",
"tY117u0Qm5QZOhCwLR66obbgBXlVW/vFgzh62NS0k4utyNqdIfpMuXDLaTMJv+/IxZkPHS4cFwqU\n",
"tRndOrmxdi7R1NyVAKeOCknxkrbiNiGCs8jyzJeUrQOwWxNy3XFPU3bk/5GfrS6cniNAPO6s5eyo\n",
"3e3W4OXMWHdQgMiR5FkRnjIOTK2P6WIHmk+s9+zjtDu5VWbTrqzYJrzHOFcyTWEzZj2gRKlrymTn\n",
"130pFnhYiF1SBHApXtoPuh0TGtaaSEUl1RIIT9a7bblDvqC43MWvVRo1uImxv0DwhZXXprY23vm8\n",
"u25WfRUF2d8ydG4N+Hg7Kct9RyUPlfvizK9tFoDd5PajNITMR7XqqEi0uPEO+gypbd8Na/kMNzON\n",
"/S38FmzaHL91YDrsN8Z2UkHnXfQEAMn12YBVyRpWsRrp8/74W2ADgAFk4964fvabwQqqnIZqhUaM\n",
"dxQS1HmokyjMzvrX+inqmFY5PdKfPwtXqnaw32MuFPMdumWHeAw/TyF7GOfv4F/0lt5B6ihKGECV\n",
"GBBV7d/vQCbmmiOIQ/pqehOlI+BVtuOaMN5eIrPh4LLIreeCLDoLFWKqqNbI2mR+vVj7fwin2iq1\n",
"DZF9i/fz4oiHzOZjbaGWqaXm7yaknLR9Y6FRcNS9jNIEnYrMea4LOWe7zUTYSEz9QhCjNLJWS53F\n",
"ToPGhxRWgAAKvgB1KRD4m+WeucM3AgzB9au+BuX84QONEV5ydLx1b6tys9QhUlnFAPJQC/Oi0ihG\n",
"i020r/ujyBEBF6zPMkoSjAe26sBAP0PD3c1WRogB91pTOfQ/YFEHs43AfW4f23f0FGEgkapZHHZH\n",
"UImOT6DvKAfw5qzqkTzqhZPsvnvfLNYAgY2W3CEnJ/M9ifBm9Qtn6P+y4D3jGPlnYAiaWvA/4x6O\n",
"MAXaGug+mfhoaCR4VgsvR7WeUgv5toAymb8AN0PSdonr/Dc3KRm9orlPPdLO/INO5+7eS8puMSuE\n",
"1jOlCnVgIl0U0rURChSVUB74IYgErBuiRpEk/qklwsGLJTsXef6LxF9Qh4g34SVXt1uCEUH17Zdg\n",
"HksXeEW4oVZOSSCtO+4u+7Vvn1DPdwgQGnOEfLL5/Hkw2pq3oVlzcHyoinayoRsiEfAE9EUA+me1\n",
"9/4O2P2Vkc6Zts4uqtKNkeHAY0YKXC4v1B9hVCwhlQ/xjWNbgm/k6Cr67gQLliiAQf3cuhOdxlkQ\n",
"5ITUq8qW3hRfGdn9rsXNFhQjnstvNDxfVX1Y3cJnfVSNGuNSvX5Q73N9avrxctGb45hi2o1TZnj6\n",
"D16MQRZfEQY3tqt9IYxRC2ViRDpbFvEPKNDVn5Xpoy2AcNk/l32syRbzj2+Q8xdHEgmMaUs0qtiA\n",
"q+4rcsb5szaURx8SJi3cfwkNQl5gl0csibyx0tBFO+xeCLzLXLHZITZcBpPHXFX/y2lBxArN+dyA\n",
"48kmhaMshNgSPiNHEo06KFO3jiMf1NXfhei1aLMpm2Sg03GWzrQAHLA85dh4V9vUwwlB/7iMw7nB\n",
"iYnFhcAHkTj5KBUe3iAaVQ9SKoUfy5h0ykBnlmOQVQIRLaMQl+60/wQKKqjdVPlb4+/aEKBh1WBa\n",
"VGbQHUePCpXkevnBIfcxXh8wGv8TYKWVDlINjc26nQwJ+5RkLuytbHmXQMuuEglOB9a8HwwvixtZ\n",
"c1JPnpME8DwU0J7sDQkPdJuzZTqQzwc/f6IAlTKjO/vYqUkl8QZEgazfPjdeKRzazlZLNJkRxt08\n",
"BM00TRileBrKbd78yV36oCf6EogrCPBkE/CodZwBInU7rB8rAF9sc6zPuPYXtXtxZTCyH4dYjRUp\n",
"FwojBRvKBJAz67uK9YLLwIXtj7FcUbBxDfxHofxP13LyQgYKdqBsNOG6hRXZTGtQDX/LJ5/wMaLB\n",
"Ydnu/h9rymxzApRIbSpHTVkOP0VvOgAGR+GaYpp/NnO7f3L30225SkXLFynf4NjAZ2h6BeeVhNSk\n",
"fZ6ZxY3McQLrMSPmy3K6CLjLMjngahmVaq1bvl0sh+u77qLP9zIZ0YTHlfYXAZYAvJH3U+UA6/5T\n",
"fLyIcWbIFvZ++xhcC7qHtf0HPOjRlCmjAXCdCw0MXroMmoQSEdj0mvY5KqU8kltaBq1yjrHKPwwX\n",
"kYS6LmrN/P7/ZpR01ALYOm1CeOxb23vyYrP2y+FaD5eKagc7hCQHLMoD1/zBkgOYEUqD3HwCRn07\n",
"9PqDwm/HWs+OVMXQ8mBzow8S76YHOkITTiHdHGXxFAaMKRKPU7z1eu7cM08I+K4MrOCa1DpD/YND\n",
"T98OISA2bt5FTqcMJnA6Jj9Td9+CFkRqCrILPjvR9yCqcKMXH135qdLzJfdcIe9vsd34/2EeuDYO\n",
"D94AvTltRIMk4/S6gG9+c5tzwExToWzUWY4zJewPJeAW7D/x2F1S1GmYg+6KABx8arOiIfmCkS8l\n",
"lLZRgQSeqikNgJ05i8AP3Mu29zxiY31+nCG5iiZblbOZ+HZlf+ZKwz/I7E/e3v2xKzfLzYroljsP\n",
"xto+McI2OqQ9D64BJeawyLAXsDy5GI8fbG9Aetcd5a5sBe/NZmetrNfIXD0Fj1yOhHIu4nDezDLk\n",
"zIEUluNtVtR/+jzNIycNmt7pkhoY/WbNOHLVfHk3XpPNHSSenMzirXnlH9qRJ2Dd4x2uWp32xBDg\n",
"pNqd5Zy52sNguEpbANBYFCDQWegx4AMAc4SCKAz82Z258mvJdnYBlNtcro1+AGG5R2/DZlO3TrLg\n",
"20V7emBaUUWeXTEz0x8fcrNZCam3KbEKbCS+68jG32OiDyRrTcheF+a6lHZZkH0Bl3IUfHjOG7aC\n",
"6Hau7oek7CBqILj8qcmRKC2CeBb5PtG64KZuKgiMr0TTtPdIDEg8hIERpu8RfREc3I9qtdK01PUE\n",
"wsGq/rHRDIZc4IhDaPQeDgcpW+DPTa+9U0aXDkO5cFGavkSDNhaaoixmfsKIKbvLk/xXmqrLCRoI\n",
"NZR4TXvKEjJteRE18ais5CIBrK5vMKO5TSe0gdBYHSIk53CaOzCsyDKcCiyeWZqiGGmHppmx8DA+\n",
"bYY+tRffkYb3LLIYqylBAAACMUGe5UUVLBD/AAQ08pd1wAVtIvFbLBdYomNJf93OecuGwiqT7eue\n",
"r41leDR8DWEpxrrqtVA/MuppMdA3qYv5eOwG4aDFv/cyY9zMGozQH0+xGcV/jMrwHi8evFht9XFJ\n",
"O332BpO+l7QawpdMy3WttD3GVOVNH80MxVBxidEwyVXoM4bi5u9fX8oVAFBUpn8EZ3ivCADgUbXp\n",
"1tCorljnqMvlCPBOfIOQxQnWqYDhtOAWhX46iMQE30ZaRTBftQrvhoGovUutRN6y8Jfm++V2djuf\n",
"dBdijlbXXAdDPkI4NM3Em4GEsxl+MHjQODEnIVR4VHrqsoqqJ0Z4sJ4fluEHuzMPyWhlDmeKmj0C\n",
"H1DyPJUoYM0JvQ7XdODOqPN7dAyz44YZOziDYs8jq8Rt0tx9EHovaPL3UlH4f6scae0ZuZCmd8m7\n",
"Xt+pOlvjSNoCFEuux/9+riKaS1cFlTHT/th8Hgj0JCHBSi/djR5r1LICsr8UveW2tOrK8/QlnK2E\n",
"eZyeVsYASM+sRjrc9Y5mj9n0RiVbDc0BTxnoPMZYR8fBTjizSy/I4SyBt0UrwLDbR41Ruz+aYQ6f\n",
"Ea/bRiHbqkjUle9EnwpZdii86D7h5+bmwBpobTdX6RAic9AiRtOOc8Y1QOLktB8pDU9L7Z3FjhI/\n",
"eQ6x4ZegG9BobrNQ8zgivFigEMuJImvEJVF4lDcw1UUmmJPXbgumI3tsW7GxRLg9LjYiNt2urs2S\n",
"bNLpFovCfadtyQAAAn0BnwZqQ/8ACWv9TELUy0vEgjAFAuCEBtlLgrTABschdbqeUZ7XHXxPwYzg\n",
"2g3N1Iy3WM0gDnCGOmJLzK3+DYpUympKE/4zndEVWKHdl0d82w6EAu0FFZ7h23qhyxyPuDnR7LKr\n",
"3TZCbz0MfgbxGtr9SUdJjZisd4fcG98Hb4l7NJWNLDs59Bp9fkPC33AgvLpXJsJWkaLP89AXQ12Z\n",
"7wdDj2xvc63r14qZaejRwQ44xl3QA+zCWlNXrsVUfNDFMlzQFOH1Msmith04f5aqzhq/2pVhRssg\n",
"zM9afj/MIonGs92U9f4aiwRLQpS+mtzgX37XmaLGKL+aThe8KMSxu8v20wsK6Woznn+0tkU0EC/o\n",
"1KRsMNOXTpEWy7cG0khSDiKNKmmBn4YrSdFVEaGEY5ZvTWF53HphPVLg1CmwM8j60Vp7sfs3g52Y\n",
"5SDTk+b41IxCmYt1L+1H1pKOYum5UThmpWtLoHdqVp3YoyleFGt1cj0ny30ImNaYmBK2V/w2xBMW\n",
"M0Y/nvRRSKYzKwcF/KwjeaJfj8q9GxM9kBaP5THReJ4xoaV/8jmg10TzGsDFSzfPqK1Xmq9DSdql\n",
"YkJLVgV/wedI3/2v7XjD77snI/Chs4JoMXKMq2dOq1tEKAaTJ3iQzAHIcsHehbvtgxbggR+BQHO8\n",
"DtwZVxieoslFCs/dBjyHqgg5QroDOVjk0NaIbNFVgMfP+bsU3hG4ComAilqkj0qWAbFVZYMOyVBI\n",
"0AD3cvtzocn4k3KdQrS8eiW/GZhjNGjO87pSn5/XKhDpOAxb7ueGt+2GAM6MBkH6QW+KkQszrP3I\n",
"+SJg+Nj7iDsUO2jS6o1S7g3NaOWQmhpRAAAHQkGbCkmoQWyZTAgn//61KoADk/34R60vrDmYR0J9\n",
"mCQl7hlZKC8mM9OOuzixjLDX3y+NdgZGAz2KdHlAOeLZQTxn9hFGt2cTljPL7NF6XL8Ftp/68ACJ\n",
"e/DsLBmkALecf+ZpmrRWP7RftotbhHsD+R0+gnRExgZF6kZOdrfBd58ld1IYsXObetwfgKAOcjBx\n",
"Lq5+nAZQt2IP0tqUnBHT7BUpOMFUP/EP04mawflGStcUs/b9fFtMnRz9mnsXGdTLuTM3uDxQhF+v\n",
"N4tFiz+9P5t0PV95WzdoJLnAr10W2akGdjsL9tHlF4befS9Wnv8aAAMDA3ZkdiiF8oyoE66drUyo\n",
"LbJHTFS7Z2suCsPi7oU9d+zAh/tjCC9CqMs+VC2yVe2mdWx1GQJUQ0Dy4NJf03m6zWwPx1lQTfHT\n",
"fn//qzpEQkO2ejHVsuswUQ9r/MqnN62V7Ydzw2JTdJAixGp4SX8+CuRywN03CiRN1kBLmJ2mnJuI\n",
"bfjKNFDSLaa7UB+UwHifB4whyseztgwYpJSrFNMBcKAU1sEOW/IGerwin0vPE1B5nEsTdFVZ2rJw\n",
"l0ieO1wGICPUigjSW7wesv2ljq4+sDwPzVfmfbOUPLlZkq2BGRUgtVMO8AMf9VZkMIcgyUdTOCLy\n",
"XskNz3oA16ySx8cXPgcLYHyT1v6BKwf/bAkOPWoVtHH4zvnOeJe+7wDQkJXBSB24++9uAON9uUxP\n",
"pmt/8r9RPyuVy+1zJFk7YSd0fv2JRFTju7Li0KuQLQB+evGBPiVBVZF+q4JxWuNqJq0RqUvxNLOx\n",
"khKnr7JvCGrVoiKPM0xd0SbZf8EsDoli5bO5cyAHyVjoLYOf6lKQqernr93Qg8An3QKpYrOMPeH/\n",
"el6LahGpnopIzhkPaXR1jcI69gVi8ZODVSoQIbSPts2hkW+0OIOlNqusa/kHjWDNNAwvRm7UTVQ0\n",
"bJa4UVTwaq2gXhuKlSfWcD3zAgTFnlBagqoWRwziBysarygkQlxq3tsOOfiwJV35bZmBmagQzlW0\n",
"oFoI7nGgwcZ5S3HMjTOS+iszicz0KowChb1VSNko82apPN5SUtJ0K0pvzxSfCcvchSq4K8ZQkp+T\n",
"x+JuqGU4dsDSK6ummDPam8853zccADBgqpX1C6fhHZx/m2nCG9/ZbDDw5sAI1fbg0JjksGZCqYUs\n",
"mkNUQgAFtbek909Xc8H4XHhM6vAuAN7DfdxCIHkrAVPuSGp0FiX2D2PP6GAYtxRUbNBKSFQbW2pr\n",
"/eetJnuacytImNRDqb72mU9IvxEyJ4vghaoijVzNxZ2cUZFltiIkZpnB7o+YzZUA9ilRWFHmhws6\n",
"maHK4RCNj9nqA68Lz3j5uVKK9KHeFXs2xaZ3isDaw9N1i+2XAdETlA2dEfu0kslBzU0zSP/YNMDg\n",
"4RTArpnfva91NkbxJxU2hMusop0A2sf6ZILY0sxsbZnMyy3FNwweaMMzXos9x4ncmzhUiv3jeDQj\n",
"GCWKJw8W0XZGBv1hhiPvkeNp23OHVw0eYS9MAqCXSY0jkX+F6GC1nBKebb3+NeYvqAusmfoy9kUT\n",
"BQlmGBNDIMgo6ufdV5urz2dR74shS7y+D/cSC/l7WMov9icjaxssB3Puq+kaDnyb9DkPMsuY3aBO\n",
"gbnGxyBtHUM/Uss3UNnFceUTHOdB70mbNc8ZuStI5awGFwPPuOBwPo3IfZRY9URmOB8pBgRoxRXj\n",
"HHqPVAeKejdOMVSh9hAHZOfOOBNUclb6xRsly09B/ZFTPIN5rNeEQI728wvorCywHU2v6bOqvKQT\n",
"la/VyDg+mf/PThg34kVG/r+ThKD08LI9DUPp8s6almi0ee//2QqW7XastESytDfPr4vlnaqXT5Pq\n",
"Vgksj5eqfo8CDjur/GnhuEhbrYZ6o+zCmvagHoj1oT7QocSsTZV238O2tgep4VxSnlMKNhm053fu\n",
"3wFYg/SsBHqkFY2W2BFl145sAXk7GHDTnyLObuvV1RGAhDFN6ZHSyIwxjdbmJGlDMmR/ZrWQr5qm\n",
"LNcu2XeNdX/gaFc91FXjdZYm/G6Qlg9FE/Ceev1pBONGo2abVjP+fioCf7kmY2ZsVM3W829rk3gl\n",
"H9JxDfP3mYyRMf/fQATwZ721CGaqHnRk03thEjRvaj15ynEOBAw80lVh5Yon+FWhBsJCmsvGSFfo\n",
"Hd673L/YKHGiJPBS0bczEz3MLhCFbfLNK2jkqcH952TlPpKZNROHNDay8MwPx2PzQnWH0nD4KFXd\n",
"e8NLoCMDxUAs6aVhL7FmaoIYCZrXw9yh7P9AwGDDqu8O1XZ2Q0H1t2FtwUYmsuLOmAOAMJxxFarF\n",
"tj+hGjfX68B9BidzgaJ94VjRLhOOHaKLggTJXg2XPbUmhbDPQ7wTtL3BKnuqjZv1cmy4wW1JGNKC\n",
"UbQEa8AXAVUPznu60ERJ/2xb583cuTkeeN9VMTIW6SrCQWB7v2z5X/76DGh+kq/xW5ab7kMZpQhi\n",
"q+JhMXkAAAH9QZ8oRRUsEP8ABFTyfL9eoF4lVKNFyc/MmkRllNdKABJ4aXzzaq3M2Z464zoDds+C\n",
"CBsEdpymmzPMCvWk4vxWG02lXaYp1itvg0Rk7p+WlknRqUo79nDEacoFdwwZmN9uYXTwalnTBpfd\n",
"4+09PwgfMMeqEe4hzMj5L8BbOVmpdWecKpYry8XsaiT9ic/8qMUGjYf9TjDNtVFb0T26Ctl8zMIT\n",
"QsewZqoRqZ4irJ9n41DU4OCq3WI3ieNjja6TtV9EHPH81IqGL+hqltMJRPLKA4m9T9fcxSkRQq7O\n",
"jwgtbHgCvyFwHYU3aif2NrlajdUdU8SsFaBNdrjLqPdNcYS5UvaJRgDfvgH8Tfoux6yEtzQLOHPB\n",
"Z8FMMdup4yoSroB0J5z0dwaCloAa6dj21jNDQoyPrrxZ1/bGhehwBLb5+3TNqD05Ge08nEQH78hN\n",
"G75AwOkNynWbLDghDQarD+XGrb1pi/0/JJhMrd/aI1z5UfYnDezCfCIiC1cJkO8Ozs7yN4+9rXLx\n",
"1XYEmfynhhABO7zKauhbLMFg6JbwJm70suxhEGC1g1BmD4cBpUyyEEEtPqYeR1zWfkJy0S0NtHff\n",
"E9aB1oP7SLRFV18nf2Rz1pUdQo+eUyZMRHNfPDkvS7+IFDHBbgZr535WvRX9FBbUQ6ceDPN2YNnN\n",
"Slw0GzAAAAI2AZ9JakP/AAmq+b0BR+dAA2XLe+zdrpH6isKqNVIVj5JbVxZG+uif1D2u3xXWIiaB\n",
"DU9md3sTRins5uhfDdx+yX2sPQawGs/iS7dyYKoTp9oSxat8GlnsQDID0oNGepFcut8Cyek3rhcY\n",
"oOV6lkRXy5En6piGi7QGscGlQW+CHwI2ax7HN+ZIKr0NSJMfbPaNrHlYxTQ5YnRh/N7k8w+1QJUd\n",
"RI0mHpsTHZdRJXHLl0i5U56tUeNFofT3cKtepS4Z2uf5o8Rq8L1YMMFmluU0ffisWBr/SdPYbBMv\n",
"zRu7nQo/w3saiGv53kEdWGiXWKD6HhfU+3n4vOXU2QUkUJU/SNi5bAjWQRa5VSnceJAXDeSpd+T9\n",
"Y7R8STv7HlhaCQnMhsdPQtC7UhbkR72M1m38RwyX/qIf1dw4SkMvYA6Vo9xY9uo82hjPq1wQiJOI\n",
"BtKopBaPaJaAFC7vumdZjksnZ7pqV5KpUWz+mEFcYvjXaaAKRWXTp8uVBAdwGrKxa5JyE8qJmSVT\n",
"JMf1/eZTbQYHkEfA76hryZr5ih1t8JMjiPyFuvAA3GanTuTvM1up0TCHswOe1zrx1GqXeiJy7QGd\n",
"VnpuNbU5ohz+sHGvUpN7VlYMmE5KSvipxUcNwLCkOpi6FPiyIgGc9oSMFDkqefXOSWrPHdfJxCdj\n",
"3jtFNTaUB90uuLxn6taTDys1QRJZUjErO0BH7LvwxS05TPevs7u0g/zxW0fVz8OV3qJjIGtZf8EI\n",
"qAkA1IEAAAUTQZtMSahBbJlMFEwT//61KoADju3jt3oAa1yADzB5jkBzjyPEl6UdXSHjHYDz7bjH\n",
"PeJBrsAQIrktAAmg6dNaJOOGB74ocS73lz81R813EFBI28DpVeWx5ynAGWUfFgXPMAKE5FmHDuIW\n",
"VsyP828YADZwdkrfPXKl3L64dwfYl9fHsQagDzztn05uz20YCLT4mUjoujAg+pPNX0Wf45yXHkMk\n",
"0ett1HTOZ0QrjtKghAQF4qcwSSfHGIywzBaNqrT8WwYLdgtMDJFxHZbKiRA+q2dD6MH3noPlQL3J\n",
"jX3B3+gi1cFD/vv3ZaJ0ENuWlRGmfvx6sHMu4yVQKQw28KMcuVeAKlaROZgsSN49fDt+/aREzovc\n",
"ePj0iDY/YSc65nhIIyZURlkcGJ33J3fsdrUxofQmWqEfqiwz03/bADZ6PPNUuaNjMYz97nmqh6wm\n",
"zB+PXdtd6YnlRaprYD3kNElAmQWwG243ex1zGavgT6KHEXemZ5aJob+sU8J1L9zU1ROhrP7sdtvK\n",
"dxq6GUyEQpqEuJUdv7w5y6FaR138aR8OEG+C2U3g2Du4LyIrVO7ZYrxh/LiNcB9F9Qo4dqa2zyJS\n",
"EpaOCS3zGyVJ1ZqHRruBRaH7s18oMtZdJC5sSSrI5kpLgXwdsC4OjKGFXb6VCBauKcsVRAw/xNBw\n",
"m6D9jlVLNXJ5vctrkTcK0IGDzEXcmVQi0VRSIc+UtCi7zDtSMsfAZLMQTczbKb7QDmu4urEVCQSC\n",
"qXJYcn3mSIL7qS5dgXMxCdf32NgmPGztK+sT080NoEJgce1/YW7K8qDYbChwlCVSM/TMOAfCWvwM\n",
"IjRTzFlwwn7vIeDPQpUzSsb3YXNEid7u8bB1dswiUHOJxyoqVhKO3GIZ4yatD/BTAG9Z8DXsSZ4F\n",
"mp1HCM3rA9KMj9lLtIifrBSBEOftwKHHk0uHHPpyiEs4Y0etlxud76D3sniSDP6RCbfxlrFZCxIA\n",
"8KVvpvhddRbqk+Iz3AuR221StJfJspy6ZkJsaP0UPVSB5R4fzh0ildwF7PE+EfdiM5FqQabKSTtj\n",
"ZWbkiialuz3USZNzK6pM3DG0/xi+IGkrzDchGNJ4XvDBMTz4FdT/Y8wphZOQC1iEV30xjfSVr43u\n",
"8V2dAvFUlCYX9F3xbRlDpqJ1a+ghibSOK9MNpaaCbO75K79vk8a8lORpreMdEk0iWB/M0dhFDjXM\n",
"YR9JQjirD/q1qbSJ8On0xJlnK8KT/RuKCsBxhMzmjg/kh9wo3nCwRWAPT8NeuIKYJSIxvc6ajIcm\n",
"xRMpDsVEaPU03BIoagGrcRBm1WLPh5X+i6B4AtbV4IEGCAGGRCWXhj7hsancTCbbQKg99y4pfxJj\n",
"8UMM64NAueS/nR34MIbkXsJVKBS8XNLruxdmiBIg61h6ioCfMcD7nP1wvzwnUBP+Me7ZJePF1UPm\n",
"cXHyyAiE4qVctpJ9f2dR7A1KEwOiwAa3u4oeeZ/jx0BUWNNdRMdzdlIo4y+3yDpWE4C0a+ACMOf3\n",
"TGE2y/ZDKjr4D3r477mLYA1tuUYLZoPT6hpDujF9nlGHgnHWCzNgiYrBnext+PEh+AMYxpIZkmvU\n",
"YL9NFaYL2/1MIRir3WE8U12qlFmXIyIkX2qO5poF+Hxu8i+ObgtsxpFsbuBwn7N8Bre/2CJIoDEX\n",
"P49n8ZGI13TgtEpGYENxeZocGM60nj5wrD1y850lFi32Tn5FQuU/hMXC4TYHrS1moVhhVNWuAAAC\n",
"DAGfa2pD/wAJ8NNa7uqJcE6Mazs+OBncoYAGfLvLS07VdSrDTBys04BimQ1tTY0YpH0MMPfD0d17\n",
"0lGmGbMq7DUx2ewuszsMeVZKquuc7yz6wREJwYEhwTl8Q/TvTtB+GG+odH6CL9nnOU7/6HO1utGk\n",
"/xFn/DhyaEAjm3y5crF4/q/42CZuo0QSJvzmcU7VRV37FWFfYEtTA1FbTFAbAAb38+weKM8GUgBT\n",
"1B0Cf/EfwdUEueJ9uMNaW8Wf8dtIntO8PuF7fEwVBxZWsr4bBxDsXdeb5SKEEJZg5gQ5ufE+YHSv\n",
"n94Ag/AaPo+p0rszlqDQehpBIm6J6THCU+q9ITU1StGBT/kP9JbSRG0N3zXOyD3UDG2NV7v6h21W\n",
"uTbpFDizqIpD3VAOxU95MyAIs+vYxKxe3GgkEJjCtsUJd8qpebdSms4NZiT+IDuW/cGrNz3InCfg\n",
"TbPNo5/Bx/IDPzqstl5xHnLZJgk1i+Cuh3urj+Uyg9EZ7MVdTlzZXQqpqOD/+4cRHAODhV0oMh/z\n",
"ruG7O82B4iwVfwffroAKOPUABcbDDJGGIcAcmn+VP/AtcCid22Bo0xHpi7likSWiCSwMTFtw/XoD\n",
"Fj5a3fSEJh/szJ1S2Jrm9XDbJ2nsL340BTxEJdqARsxiH6tRD9nPEVXc8P/xCZwo0SiPjdB39fJH\n",
"reOnNWvbQHvsRUOSAAAGrUGbcEnhClJlMCCf//61KoADpO5g4bTgg7J4eB7YiegAVtN2v4K13jno\n",
"YymL1lx2Zgs/CQ0RUMnncdzKpACDqy1EBB1hBICQZMzQ6WuKNrWCJJNuqn40tJ1s0MmfEr+YxFGC\n",
"fX5JxwUb34seF2RFj6Du7scCAOh8BCVp2esiEnnqBAuYPl0OfFOubQj1muFmsZsu8A0fM6Rdx4QL\n",
"RZKNxOrX5QuuShuanQvNsntYUlpPtPpu64NWJR01ef0Em239NRDrE81Nk1hOEmeJrUu9DgAgUjBY\n",
"w95ZoTpN6D6wuNZj0uvJfFUAMzNQ70Nl7dz6U6Q9+WNHjKEvUfB7GwfFm2SNJdyjRN7B7aICL91T\n",
"7zUVGZsgV+9DxKpfrpgaIWKVjZxa6M7qR3s++Jbg78XO2MeSJiRJtPfmeZVD/moXDA9tplOkwltF\n",
"zU86aGlnlZ/HQufonatyBYbqZ7bpZI7rLOiDZWmN7rhQq57JEomxRB77uXQo6AwNIS2v7/wFikgF\n",
"peuIfWmLPkt66h98OADki8tKpjSZJ+oEm7hb+93MM48obKGygqW0zxDMGMoxnRctnvIO7K2/0lHv\n",
"aqJ9p5jJ+/ZcSTJr/oyQm+wzvO6yHHzWvBQpON/na/TweNQ4FlrRQufZUprdWuwh84+Q/QXrHX1c\n",
"g8CFyR0NfVHgb0tFRYhIYF37uoml4t/me+3X+cKTZNnWRl15Bc/1QtVme3TZ9Sq0EkYLcvglCwgd\n",
"I8VRL1vaUbc71Y9GN/LUDAcjiBpXT0bNzZlOikD6TfCuyNSnCbG9wMKM9+Knn4gw2gEsa2LugWxH\n",
"oQ7hIZPh6+AD06fnkEIVhCSTaR1DUPl9ohBPUnzeL5x32aOr/JT88ySfPb5gDTtHKTr3frHi3LC8\n",
"1ihHZQvpWnFdlZ7jcRh9E8ske+Zh33GOe62HgpHNzv8u0K72KG5O3n8df3n0JwJgC8C4owyshuRu\n",
"FvufrcuNttPdM6KoWtxYUVEPCxJBvPF38sEiQKdaM9T/C4os0YZz/OqzFw196Y77LtuZx9nSWg24\n",
"5TUFY8bbytuFgW7uB8jmmruAvWNDYSlLHAGPo4eWq9MZ2rbAkdSzLLpxqKuoLXNbIwofl4bxQMQ+\n",
"xM+07UYj5mGYl/KnbRxE0KVNaPuwdUjgJLBvNEBIzyB8AW29oXUY97xCWS6NqDUDAlQA6SX0ynzQ\n",
"2yH5neldKczQCjv45ly+FP4xVULe6TH9p61MdA88e1nxjb5FOqeB72Kq6x7Q1Ni3GlXpzzputrQG\n",
"mB4AQrWuWhPMuZNPmrjRcLWJY9+3i+MOWM22GjUKdb4hf+8rj9J15lSIn/fMhLrdZv2Pn3boV5Pm\n",
"RMDMcJ73vhzpnRwjC4+mgH5nyk65eBg3EE6nlb9WDUFW2k6z7efscFqxAOj3n29t6IkHzcoBUfAI\n",
"HQVwrRh2BVfT4C67qbd2VNUZiwJbFeziJ79d4V/nj+2uNXMZkuGRFqBUS4WIawbQ03s1ngYlYBUD\n",
"NHxqIP7BSl3iSXxo7Dri4rZNv9A0OPsIOpcK8jFMlP4zV4h6om3YFE3xdUlGYcISJVJEjHOmyG07\n",
"mtgAJPMSs3H6ZYfEiVZo+JssA/4qOxpEPzl5EP5Ef8b5i827pL/i/w75qa9BgsRSZPjDkAM841Cs\n",
"zKZFQm/V/I9EbRxIOvebskW0lpcrhjgToLbkYo5TvEZTfWupoqcNWubMtJBXM0tgByWZwmxE/zuL\n",
"rnXQcUSBqQLwrpbFpqYjgi1Pi83WvckAdFbIy9jtpjPSoNkSWUo5TCmMSF6pOWGuSH+P7oHX5nXE\n",
"GJesllPEWlkgfy0SpAgsern0DWvljO+i7yqaHzcJUzaKYvbJIswYQp+TbzMYxzXh+PdQrN/8JPaF\n",
"jGe7VU//SBgCZrQMQx25VWbTmTL1bBBOBqUDHCagtq4xYCkAiAWhbQ4nypTOKjbfdiL7h1DRVa45\n",
"lWB3Gu5z/ISrdsqnAjezbAZLJA+gEV9YzTdDVdKQ8p2YJKVkSdZ/JCDjbfNG588D2ADx277qyndj\n",
"idp8w+EoZixZ4909rxA96WSqCQAqQvY6nmamwRWDdtxG7BjNwUpQHNS9jtHldubPN6MhpCDLqb4N\n",
"gD4DXby/2OkI48S5rB5Uy82g1n9hrNzBoWqpKfOgeaFwM/MnGfeYFtGcgi12CKB/GVxUfC3Exywv\n",
"GCPNT07++98Uxe09yJc+j4ih10qcCFTRj3qHhTRekJNKinOtHcqedWHsJmRIRVPhPSu8/MqYjAv3\n",
"IYzO48LmJO4pDBN6gGPdAAABw0GfjkU0TBD/AASU8nzBku4Ia2u7A3s/3ktZ2MD4fMwASqbQ7XN1\n",
"71hQpsbIEqlAMQYjjxJ9yEYXvzLxiR6S4BSMYdELNK7iVouZ3h3RCaKm2sl7SN2vvBqfMMMKm4qA\n",
"lj2e1UNy8yAyGaND0zYv0Hnttdg/28aVgUO1+Vn07QxN0KhPgI4EzZuGcVFHMqmXQAwd2rjIr8xX\n",
"C464j4OdLLY7c9qQ5uv8UXMfLOP0MKLNcvHTFGqnuIcwS8oTIZjvqLHU/Jj5YSY5XQioXQ3YpX1U\n",
"ntDrqeefnjK3umCTIKIW3fq2S/MY2aLWHYqOCQvWHkVWu7bFEzeE9cyYAYDCydDtbZXZ2Q2mN32v\n",
"ElMBLz1I3ijUmOs12D/7YJEqe6mx8oZXvALWH0S5PcXFR0d6/MqBs1/552rlSHy3i8Y2NbWHNFWo\n",
"7N9c3zt4LcoR4yFFnWNV6JbiNUJ+M2azbal4vqwmILoN5LvBT/tB/NT7Av4MGuaHrXVk8sUia4A1\n",
"rQbUABp9ZFem5ebAxB5n16lNtFpZfK+4cNvLvnAMZMW0ankvCu3FfIyU01ywOOlFrUpcKUPkXUEL\n",
"75iDDTcTUE3yODNSES8AAAIsAZ+tdEP/AAo6lYRGTLFesLdeoN4rTktqPABnHakg0mkpCetOkHmm\n",
"yMyDicQV/8gemyMitVdu0f+WtQocLvfdNFVywZfF/dEWzzGkdiXbIiSVt4OyQWn37yrZJmNNmIIH\n",
"Y6NbzkTLwRjXOoxRbLx9bDcVNNFKogYcAQWL6vBf+fVkWhTTl4gkVvWe81Qr2SssFPU/2wXojrWV\n",
"KxSJOFdt6zJsS4dnmMN+c6gabHrXMcehTNopgYvPIgx1O/9jFyvQI12kNssMDEGHJijRsosTL82l\n",
"+Ax4AjyGz2nxuiT/Q7QwCfauF9nb/DwbQlC13/9WFVylYX3o6OdbR2XyqtrayOLceRulj9kuF25P\n",
"P1eF3Hn4V0XxjZbtqwkAMqHu+loy4iVNUt0wJA4BeTc3ZVL/uMc56WMbkDvr+g7JpPX2S103rUjW\n",
"ArMP8Y470OatGlwfC7mP9niVoG9UMkqgka9473qDAqFa7srP9nqVAS+UyrMgNlOoyjGJdF7f5O15\n",
"c/xt1pzrhlhrI1Hxn2UU3i7lpkin3W94ssIufWpNcyUVxVRXbDOuI2xBhQIsJM2IrwGg1dW/eZ+e\n",
"dYnzLERQzXrEkwkt5wueiYSUFOfb/OIORkFKFc68zM9/9V/BNBGTenJlNPl1n02WFset5jI5xJud\n",
"eDMalg+UTBPkZ3vvXVvjV2zVw27N5Kbv/lU3uj6SDY833d6g4BlLs44OT1MpplpltKC6bktzpwNm\n",
"aT/mzQAAAlsBn69qQ/8ACjjTWu7q256jiG3QAQgJu5aeUW5+Vnkhp7PzHisF1SFT3uTzzlDIdG83\n",
"gUuvOiVE2b+zq6bt0UeTRlqD3wA5GZdxeLfj0xC8tSoaCTxCFDkUJraMU/Gv4b9fvyFMYv9xPIQc\n",
"paZpjEXmWdBtI8lYeoapKXewB2dam4qh5I6I1elmfo6hffjcjWl58Dh5rF8DIOlAGka0smsScMNG\n",
"V0cmuIbb8Ea69e0EdmUIhNGGAGzVqejYFKToXzh2ehhiWV/wRjLwnoE/tyjWezssZEq7xHtGt+kE\n",
"kIHu/6PuVZ21Ygmrd6P0bfotc5KlgKmSeDm8YmdXNlsqHnqaG0H+77yDaEe5IDbgFXqmeKGrxz8E\n",
"4TmLfeE/ysbnfAkEO+RDtz2C/YGSQfeRF0CkxQE8ig+fiDT1ulTGk7R8QldyCf8axPQI2EqLuisE\n",
"/62mSzgCZZLiprdfZJ5VG9BremuAj/Gj5fWDdqTRit33qwDQJegyuqVvEu63X041jKaAxuQgs0r1\n",
"XGSuNqS0nVKBZVDFRkUfZnZGbZdeOJDMWZ7ukQwRA8dN6Tn52KcWytvkJ860ls7yaMOVXMSvMxU/\n",
"AVKagcb0rYotJfSO+2YgrfzBiGVrq55CtCd5gmy9dP1dGP3k9YvJjobsEgFer6ykKXCDgGiVDDVp\n",
"Qyh5Sa1mArZzpv5WUHIm9gP0Ved3hdQPsrNRDBqI7/r5rGMkHcWCDyXdylFSevi3dKb/e8t4QAbO\n",
"/3rsj9HP8oxshlkuoXSjXvh2FwPgm8anVm1MKTtZvkrHCl6XF4TMu4AAAAdlQZu0SahBaJlMCCf/\n",
"/rUqgAPQ/dJIzdODzCqHtYWz/r6qH9GjDDryM7F7sqXE2MiklzBr2iNDRrtSdk8I1mFhE5LTgUz+\n",
"lbYzc6hTGeHFQNTcmtvKvdw8jt+CE28OUelQqmwUUVJ0a6b33th16w17xEs0+/n45o5VnT/2hi0N\n",
"5s6cB7eD//AZpp6rl4zwqxrrbZCFZTn3v7Brs61GVEt9yaGxe+WKPbfJwzdxj4wJsP4zdpLfxbCj\n",
"5gOAsfTm1Kp/MLPkOk8jJ9BnJ99SDsJEb12MoZwoMUmRHKPyJx5COexLKq+Yztsj9KIgGQr1hwEl\n",
"okLUVTQfAsVbtFO+BPpsy2ugGsxs+kC/5Md+m1kgux48x18cG75tNye0DhyGDzYMiST+DHHVEVQA\n",
"YgjGJFiSr9z9FlJpW+GEPPQjqHLFsbsb/ySBGWrMNVJKlQScopfndbZc9kl+9eaQpOM1i7Qw2otc\n",
"d03YIpvYQ4DLEhmryna2yiVWuhp0X5H+mpgvPwWEDUbdY9PikvOSmD5u+Pkm/gCH9Xt7mJGTAgGv\n",
"8ra2xhGI0kx0W6VNA8ywq3RzyGCJmhDYyhq57hhb65G6jCL/shPDgKUfxqirwr1csyi+OhYupGp0\n",
"89X7pMX/LAXIhYBZee81+zS7hIs6+yWdzeEzG5XPy3JNDnPZ/fA2qlBbmOy3jvaiBTu83tGpeRtQ\n",
"EHhlXYNijavyFMjPCd52lbwOs04RA59arxNqKKO0zg8LcMa7OYpBa5bHoiumPTb+zYdBBHqPvEgd\n",
"8Q8KsdcEtEz3TKYEzOPVqrXYZioxJpC4GoorURWwWvw9oPUwFb0GsIrpjMzt9aNNOF8Fdk8Y+brf\n",
"KalcO/cChltKSRcu4XfIa1DcCkKPfOQ8ogU7BzrfoSlVAxuc2lZd9hmIFankQmd0YzvDpga0g2ut\n",
"CkF9faavf/LhujDXceMKOuPhG0qE7mFQTqBPgmr+NRjj0EbcwNvvsxJ6TWVDY6pXi8m+UIzSINOp\n",
"lR034hA4Rjke3x2KxQgTOQaw6ZBFfWS37c6cynLHwViZD8VwNabZjqiVbuuUXINaJAJJQyXaXx+z\n",
"L4RVywuDWiu5I/qitMotYgkJdmLApOGbuFYUDwlM3JIQUi6IDQzDtOjy5G+L89oD7MIEIWyeC4Fh\n",
"HudjYjoRwIU2BRDar+n9LLlemmrBYKOQF0eDQTXoMLfhmWwMnBO0cKSAu9kYfXs8YLxnFQTNAob/\n",
"earxC0WhNftDGOSR17L8biJF86Y3kRIvPN4BEP/KWtFjx8xt4EJsnQz6shIihE59itecrDpmf/ri\n",
"doqGOuMtwZlO14ZEzCgTQlNRVe5vPbM3d20+fx8HSDlB46/dJbJ64jk1tUNxD8cRSpvByKNh84Xw\n",
"QgZrqMKKjj3sP/P1vGFl6JE2beUnTNoqsvJBmTP2vHPKioWiZGLnooSMFi1jL76uEbxivrnEnww8\n",
"SJPXGYYfXp183Xa9S+rq81eblxHHc87L+Z6AonBEu2ZvDfnD7MhXwMeC8064X6J3DP4F8EGeg6/m\n",
"6DfBjHnnfCtbl0deHhxGLMBYM8BscQ7Gn5KvPiEm9jwDfxSCWievgCqfoO2iP9f7il+tt2WH9m6n\n",
"Dxsntb7UuGu/QkuvjCEe+Fmot1/B1V8GnNCdnzB8WFrACHYiPZn2tqafoCmq0YtAatCB/fZQxdwI\n",
"S2p+nMJf7/skAeWtAocVpbV5uOT5kdzv0i2V9C58Un+YG0gELT9b6ii9jBjZh/TULjVP8YNoAYZs\n",
"h0if/3rnWFbNvfPfARrnrEsCvpDJX7xE9UW0hj/dev/jROKqg4ZIFr4C5Yprw0GkLwsm426jGd0E\n",
"q90ucWEMudxD6Tnmif/Xx0iNcn7J/d1G89ac4ex11TiWMuoUEztW+XObq20CP823bV1IcteBA3Eg\n",
"vVWMwIZIYA5QfGBTLkxTZaL89YMe3WOX4BUgmzGec5Uvdhsca6v2Pn5YSHRKycPJy3XIvVvTedPq\n",
"ncH12Hz/2aS/srDEYtDAJW/W4F9mg7WpCFOtsPdspYCk884YYJE42oPhjHQcn5705Eicxpaqh+b4\n",
"brO5eIA+/+W0rTz6WdAtYIpUlydOnv+FITDLmDh9zjH/SWqFk/Xxz9V0o6/fCQ0xuuxTy52SLiZQ\n",
"DyQ4POY8An6zBl2dXaE+ROF2BQ6IaQQEyMt0jvPKYYgCxhW2t6Tw3zUpHEX+elifZ6j73DBtkAdU\n",
"9rxQ6ZOiGDJIlwTO2n3Im+kdQrFRGUO/JIzXY5VXW1GMBlwvHezStPFGmQrUSBvzwwmTdclgtZph\n",
"HwxDjzd2KXmQQcyoJf/KxAqUGPPr3RjvD7og0aLKb9rtFP0bR40vnqT5DrbMMZxZ6WBCgbhWfz84\n",
"TWcXOlThg/NZ+LG2B8T91bpdGKIq2r2XBFD5JdhhnCxeP7YWSPwVQ6qIddPQXyZc3kCRS3y3qFru\n",
"+ou7jFEDC3mKFIqiB3IdfrZEjIQkxM5cs7jBjJc6afEW+CGnl6FZdyIS/76MYBCU88Y8ZFw1F5xI\n",
"AAACqUGf0kURLBD/AAS08ny/vZvmx3DVzonAABD9oHisi9WnvrDUtJuE2pZ33EkKsOhTnY6CUyL4\n",
"VPhXGu8z+sBb+yYfW5m4Iv6OamdZFSuvNw11AdhLwZaEDGjhCJbOdRQ5y0v7M8rGfWtMKDcXlCpH\n",
"myblSJsxfFg2LlxDIS+nplIl3YEkjI7ub8vjmCuVpc3e2gWQRlhUemln+E6IQzVvMkLaIp8X3Eq8\n",
"sj5XAv54C51yZPWfxPCpQV+m2UJmxssLr2XzeUcLkyT6aDHJ/KBJWnmcngToQNMeCgzzBf1xAZha\n",
"siyy0oxtKcsY2u3XEFeuSX1KyKJavh9eWDkM2TLOHh+BqgcN+0eduXGzWijgEmjmSU6Yyp2cC4HM\n",
"/j6rr/J682ht/wKxFVZ2rosCPpGFDNIZU896awiXXUgoFofao4fdVFsMfBoyJNw8T6OExmIrP9BO\n",
"8owrK659FpOEOVgxYmNlQpt89ajuclKQftAfQkWgXyvXDWWRT4SveqfzttVlccVWR1INP07YCQjM\n",
"CncXUMRCDSsVW4GxexAeZyG6M9wzHa/EUqiFN5+3UMcDhkJ60J+GQ7OK1ou7MQv2PaekTWgWoJKT\n",
"xFan7G+PFEKrk6nSROaw6jE8iG5PYmi8dOYjue5uxxjCec6XdrVTgEcX3IhO+RwG44xC0xP1Y7MW\n",
"ZttdE7ZKErjoFtX2vjN4Z5z8wLTk745QqvYVNlIrxNqyvROcU2dk/F1AsxupsrsvinIRJpRxc+x4\n",
"jVAwJDGppDEPy0LV+3Ej4YS6tofbpNne35nzLetU8onqFoLLJGoWoLiIS/0FrUiuArac4ihgPIms\n",
"YS8/K1jOkUTTQjKZgJu0f/z4sGGKFXxgzFfhVBugbw4wmscZkkahwnd9jaokQ0ZuMiToj/+6AnMM\n",
"CQAAAjMBn/F0Q/8ACoJKm9QLZSnUIv7BpYXgnpgD2InM465Ek51QwlZ7UBuR2njpyB3uFiJrim9F\n",
"pyoaRz3kb7fRbDoEDMRE1fHFkSLfhIjcWG/q57NscXzZ2+e8uQjGiCJ6uepCvL0REW/0zMXlv8jf\n",
"FK4PQtGvtzQNH1Gz28TOQrJvailKlGy5fZtb9kP4WWz8wHpTKX0Z46dz5SKMsGE+sz/t+ue0zGjJ\n",
"vzwnhtKwWYZMm3gZ5rZ83aQMpwoV5b9ordehKyTaSvD6UKz+C/GOIAAnHTehWK9UC2TqN9+9Ftc2\n",
"mBbTpS1x+ix3iWCw+AaJDB+2631+dDH4RfHiF4XIhM6qnmn5QpyPWuoj+OqRl9P5w3caQeOFgX8O\n",
"UwujmkURsWyFdlUCC2vbEVnU3Nt3iLPYbvv2zp0RFt5rhavsOnBUf59hAiY868zPmr9UFuaVjSIS\n",
"EFdYwlnRtHUvmJwnkM3lMLA7yBnWp7yOxX3TqdhSqWgDfnA4HfBSBzsw5M7UNOufON4ZU8qkbf9W\n",
"IjMGE9Q6WQCHrio0OTy4oibVwvF36yPBN1G/dxdf5JraqCSI70NU4YC2eLgjGVIq6mz47Me3+jZ8\n",
"gjbv08DAX2WBKsczPGq8/d5OlqEIs/L6NJmJ/lGaFDQVrTe441eg7xJuqn1/laiovbNuiVpU1LOK\n",
"yHMODcz/ApuTv85fcl9Uu68cmsLNn2v8YA/WUMu2Boo7o408WT8vCTyFlSwmR3gQgXOiIp1CwAAA\n",
"AkcBn/NqQ/8ACoDTWu7q256jeO+mWIxNWvgAzgXkb3x1yAAtuvlQWWnwwBJ+QYgYQhFfnfyImcIb\n",
"THo6ZrTcRDa5FEw1iaKgdO6phN9gCAIcw/Ps530SfmEPX2vovU1HSHxZlhap3SsGOK7Rd3to1XCc\n",
"O9WrBCmk5XvHDNdBcAI70C4CrNbiAX3SsOQNCPGcakgvl69GmrMydapAYRDNAZaRhRSAdqg1LwZe\n",
"j+A2I1T4NBA2I2mVXK8XrqyCh2ZvUAF2jXYjBRrIijU+Zl4pl9Mui9xzTVUldaPax98ZksEjDzKy\n",
"5VNhLLL2CbvtD4G9ttty5MWzqfsVYqJK6Y0V9baF1vNNek4GCJR+UfMSFtOEbkUZhsY45QAB9xDc\n",
"nHVXCOKQztLd64UHVL7GB8d6XgWxrbCB/qqtw0ePpQUrg/d0B7BTAQugla8l0p/hm2uKpITD7cqM\n",
"8NCKOjNI0PHHrHHwvon5veyyiPICr2VgcbYrKSyumNcJ5ANT1CbYv3k/z2uzN043M5UtvqGLjhYe\n",
"I8/0oWwy5kUj9cesjx1Ny97jYDmoqIiTRU4rbjvvxGR2BbDf792mhGbva0h6ApqNRZLbXUVdwT/T\n",
"C4lznKFVSlxe9KosRDgt6rOA6sd9jM3KhklRFEb7Wrvh/LdJi244Zr03eXotzOkONh/Dy4C4OHgV\n",
"4cAYtrKVRXcD6iRUErURybd/4EQPxM92sheWbCEbngNafVtp13aRe/OmMw1YmuDgyFWWVvotv9FL\n",
"QBzVdZFYCLcrJcWbrGzAAAAEgEGb9kmoQWyZTBRME//+tSqAA9Dt46bSXedwBf95FpUHhy/ifIwl\n",
"pOjAKYjeRHXVV2efJCp15PeAE8XqArbPzKEF6cIKmWJNzXUJgPkBP4BPLQiCJMoukSXLGI2o23Xh\n",
"EOnEXeoMrD1toCLd5rJntoQJc8SLzIBrHt18N91rYsVi4nBDk7xBtAW8oV6uv9dKtzue4Ua1SkOy\n",
"Il7DHyfC64gpG8av9esGXGjC7hzP+iNtYhd/shkUgIKbuvGM6S31STHCshS7aDsDfSMxjBvGrbLo\n",
"unGhfaPmbgUj1/6bFDDwyrzP3Aw07qE1EQL5RJJ8sWKsHe7ldm3xvuQJ16LxfAF/wjStW7FVQ13G\n",
"AAwHwMo6Sm3pWRyshzVM1vv0aFKslg8Z1BlD7Pv0F1XmgOk0opTOrvrDfLAKPDxf6MDcTggtkMq/\n",
"6w1rJry53zRFG9z9+D5A8hUuBzc14CvRP/HKctwhiFBaoWKT6I6fL1PGH9ed0dLwHgnCPvrV84jF\n",
"ZSYcjzk9xDGOzMZ79+L/ETCdDvl/GbD2KQOmj1glY+mvFdE8kmYQrsRz7nmhHpOY328RJBbyi6Lo\n",
"ihEH7f8V9XxGrGD4ycYaS+YcGXVrdB8uuq/Ur5IfAvz7N6FsmO2mzv2xiqiExmx4URWUesHVrSbC\n",
"PQEuCqr7ByxAG+dtSQa9UmUEKeZCfDDExzbk26v8yrQjt0Wo5NDm3FryOTVmQL951EYuyYbfvuZa\n",
"piVJGE9Qu+mVHnE+7NeXLoUHR8EcIsjt2+qXqIl+NyI8jHqe5DggYLM6jV1EgpTReQIZyBagJEgW\n",
"ErCFcmjiD6pkIlRxhNIgKkSGz8QHKJCuC5XsnHMQswmW8MZOJq8q/bKEzQ7bpzcGeuxvRF9wDOyu\n",
"7jGujAhGztE0FAMNf3C1sJsXVf/wS7EajLs0u06yfEU41WfpmwAxgSMrJaogwOIIbOEZkpCuqQHV\n",
"1nySY4OSM+6Nc5/8UgGgBTzG3UGpLJJndp1E90Inj0LkWN31f12slgZZVDXoAQtCHJKsH8Xsfxf4\n",
"7Fx8j105M3pZqvlvdf2lxbCFYDuRNH7U8CnzjCXFW35D4hpS1UiBk2hr7kb9BO2FeedZ9sGLs33Q\n",
"3v6m3YE5ZaJSj7S0LMrp2ToH9UA/PcNfTc/6XNXPj8rUQ78vvUlu5KCjyODUCbR3mOI96p0cWrn5\n",
"KOSnfRLtlrsjBwcdh+6+yD+04unoChQMw+ngVtgNEkPuWW+rNmZVCg0F0U3EPf2l2P86J7rIelhB\n",
"/kFM2AZPg2j/qEiYTN8/K0GqIww4TmUhCgTmAH0ddZVTfFDjj7oy+94eVOqgcGezDgJzdh9o4T7V\n",
"rmVuV+O/8Fj2fO1BvF/UPMjpGhP1EO5SgfR50MEmGZEES/hComytPSVAOICESsiAqoPShH93Ar4W\n",
"mg38hWa8eUPaHE7WQY9orY8Fg7SLoVzCUjT7vCtZYH/FgDxXCYp2P5xeQfq7x2pG5WPSkTj3E9J4\n",
"+cXCVeLmZiyXy8mzqwxD/FzE/V2wR7nyrPmk+r8MYQAAAn4BnhVqQ/8ACsjTWaox9FnM+XcKw8fD\n",
"3gBGDcnVNzWXFdLAzEkKnOXJYylur6OCakSD3rS+JjrN4swPfsQzik7W4kXkMYeLR6+KeR4/+Nuw\n",
"Bq0282JOTaukO73VQvYZImiVQtq7wAd1SDNIgMkVhpKOvcgbF8dbkxwjfmu38cVNpgIfrSrdkxJn\n",
"jJrdx+PmZsC8DHnTx/1MNMN+n8xlJXQEdZ8pqbKFpSbZMA+ZLgS8Jg4JzHkYl6jVgH1aBRfJWis8\n",
"M69hvMkgE+wfMXyulDFHruIgdmtBymryuzXNgm86cLxfjJQUrM28rmhublvfwxsKGoUDktNYWF/U\n",
"LV/rQy4fJRO2tPjnypmM0qwVwr0NpT8HDY8yREhlawHR4JSAWXad7wJao0lbEsiWdZ4zjVOPuW7E\n",
"uMihNVtFoWPZefu55hRlvTWUL+Tr5UIa9i/oZECOFEdkKkPMrH1Bmei3Lg19H/YTAlAIk6FhCDlU\n",
"cBLtudNuxsjUjgs0RIatoRNC8jCwxj7e7EjCZwUDdEkQKObStZ8mixMPX8kc3f2jC3+vCyPGHw/r\n",
"NxPbkph6TcXITr478+0hRNBO/aHW4tM+HRlsZteE7mJ064lhAyIQaHG2vtgrfrneGVfTpQB1d1gh\n",
"1d24VDuWIvTiN5l14fj9StSuTi3Ntk4r9dV3PbxZE5ARH/6sElsVbcxyysVya3D7lZVup4hU9W9k\n",
"hQXxRWRsnm73n/q/iz5QOhODUxvWIZ0/Q5kBc2DI4ZI2RZ5RZrXZHacNk/VZYW2VnimReHHAayET\n",
"f3A93u0fLFNleooKt0pdhpo/xhPMQSKvajX6rWjaeqOrMmntwWx9TbyMehDzgAAABtpBmhpJ4QpS\n",
"ZTAgl//+tSqABAf9fh9sb7OzH8negugTiE4Yd1cmvRuzvFajWrdTRp/ZBaHz2yv1DylRVHo6YNwk\n",
"yp9qPyu4S2FmxavPgU0ajFvEy8GMFcROwVMoTXq+ARkj8y4aCi0mEkZSxs9R3O3s2zlRS6GMu1ME\n",
"ilHU2VIwipXIPYxHjG/yIgSWm8eT3Q3aumYiEY7s6+94edDfLfTQCmHWHkKKIgta5SRJLVnNNRcM\n",
"jtfvN1FT9goljrPib+e9oKO4oF3B//elwn99txvcIIg4n8EdfJIrNqeqqVDgcCADWCFiCqOFfiD/\n",
"A4S4UVgzgB2CkNs4IyhhGrErx4RxcA6zrlATebmO++j3+TeEqCx3V+KUl+NjQ9k3sbYM93MrMjgM\n",
"HyL5wPuYrwFr4ISyeW9zPIXP7n1NbYH7f3lv+oYdS3ki4dKbSJQaYTb0SS/G02Su++cbhuKVL/9v\n",
"C/naS0ht+oAlFAuC7SL3vQklHj3evKCw9QKk5DY1EkPo1S4cNiczvCv1eoIYcfJWuniZ/KZ/BHot\n",
"F54Z8N+tVxC4uHTb2sXzmXzSo3RKR0zM8+8qJRhFz32xRysmwUB1mFiPfMnoYZioHjJt+0Lps1dv\n",
"vJVYl5jnBdburDZ8kNRvJkUbROWlrJYVaHZwydxwFlnRsBVLyoGvFBxcRUyVd7DWmVoie/6SxgSF\n",
"4ag1ahGUoIR58DZb6udlfkF6URH+p88++KIcX5z6UDu1MeTAuNfUNG9ib2q5lzscCg8nThxlJMaO\n",
"c61FN4fnUe0P36D7QzeTayNLdbwnB+W4hqShhK6CfqSbKidkPW8d3U3QF8z6fDYlGekgIddK1QSz\n",
"Pr9y3WiYXh328TDCetzn5Sd3B3PFxIwsXcb+IuLDyidYDi0NudzzMp3RXCLOQAqpFHrmNyf0HkOF\n",
"pMc071NNO4vFSS0eh3SzYnp7zHrXxlsZA5bGn27OqWt7NwYXq6ChmcLREX4WUyHNtY7G3BL8fH8D\n",
"sZdjIlS0icsdL4e8cAPC8aRESiwDh6y2QRRKYXqYLNcYnZVhFqWoiCaNusg/n1fD8GQX9cpIStBv\n",
"s50l3d67DFw1UQafDe860UUbTcrafyBYUrf5m9K3jm0TeP0S0Ank6SqSDqKkGFZDp4KJerlULWrg\n",
"uuOvM9WcDTe9cCufq84U4m3ExotpuJ84vtkBDw0tBXh0jV8wgzvaW+pSmwDABQ022oYuP8jcu5WB\n",
"Y4OXGpcNZqSwekwaFiAfHhpovz9ijHPzyN9o2OhRpJXsyYMfOio1Y1WsPpcbtnFoDBzKuy0JGuFt\n",
"nrlXSaBTNrz7sZwjRdbG3jb/1+oCwf9/EObkD4+faD8tnGNzqDkiLMZCUbTS73XTBLHFOm/teSTi\n",
"hnQ4InVq9HjzrcThcHvlk3+Ak9SS9mVfQYYLV5e8o83MgGTxV2pqF7UysDAnAmvJNKu5mXNpQuIs\n",
"aN/1J+j6hC453HRAB5Eqijw9GIec/EJDcfrMJ1DO50+uFqA6eGCcNegQzCmvRlXJLhNxRVuZd2v6\n",
"tI4z92CEGzdUn29ToUEFz0fKzWwKoV9NdzY1w0KNRb1SHTSxzT/hsbMWHGLZ1NWoquR7XJ7NVX/2\n",
"MkpGsV4TnpGeTheZ8OEHRIkWVvIndQ8BLphFk97+P52JXmhdcCj9rM/66u3DVYsoCKb2M6r8vj/p\n",
"38Gl+AMGWFrTxfG7LgkqgCzK1N7n0p6nU7SXBrwRNI0wed5reTbCITFC/9MFnkh16zDEaEgJDhN3\n",
"O5qQgbXY+jcOuUjryGpMjTIvPq6aVVuHcuBOMj1Gf7YtST8a27SdNAHZmIlXdMDTsxkoTvO6TLlz\n",
"zg9AsGG900WTdRIIcLeK8YEx8TdkVa1Ph73qwVlHm6nd5qm/G7pVAUSsIirv2cOiwEpvxp3AAFze\n",
"em5jC2D4sZ56fhcM7aloahVHuFOgqDCvjs4sbLtMW+bGClugJXh8wFnxemtfI1uYHQb1kP9hDf36\n",
"Ln7Yw1mdQZcbCx8/qRwdlr0iGulfbEfM2/bckzZ+hWFYeYe/p1F/whyYPtVesUVjNSpv/z4CdECe\n",
"0gQ7oKXVK6NuIWEgmubaihPWBUvyMyUMZaeq/A9y4fWMRYQrqbAqfk6HrLF9BiYdYZ/wJGbJltcw\n",
"lXAdT45y4XXoP+2faQhBL4KqsLGZ3dax+YGmRnM5UYPF4uIoOEPSiqzlCTPO4lsfaKjn+cABfsKq\n",
"lzKouLzOPM233NJ1YTBSXH9U2qqw3Q3zb0iPUaYQt37B6C2cAnh17uOShpz34qRzi9nRsoN6ZMw6\n",
"AjSXAzEZpxzRGFR5k45BOc4ZqdWYbWEoer1yhyYpPfV8T2d0TwAAAjdBnjhFNEwQ/wAE98Ujk8n8\n",
"1gAC+avOnDzRLSjsKBitJuloYdimD63sTfd3MPM+DucXEp4n/FnaGA5tWx+CJ6k925HLEUpZVe3l\n",
"OCtArhkk2Mi3Bt6G5BfZiBhCGY9yMxlQu7EBaqcup5m4+p97Wb2TLbt6I0sAtQ1lVDPeC85woC/9\n",
"g0P0bTflKCk7yvLR/G3iI7PeE9ahqWkMWZKNyFd57E9XoFLgA1pbMryzhQbMitpr8kKXHSidvpyU\n",
"E1OUK67gj3dJOrJnbo36V+dz0zNroeaJahQlx2SiqjtCjSIWOLvWSwQs86hcUw9Iih9YI4VBjh3b\n",
"Dx+P554AhuTgW80rkPpNVyOBH7Zq3yX7851Z6D97nTqwJQ4HBlGwTjvEIIUlh9WM8IREI8YiYNsB\n",
"uYGgEpWqeUivmpLA+mKvCB37PqKE1iV0qv8DvIjeVV1vP2qdSMbfozEXQU5klb61+rz1sEeFXF9K\n",
"7AM/amkdoIY6y4mFEpJ0XLjwen+s9n0Q2qtbAzS+uA/tZe6qopUlzH39yR0ohHNI1chyl1qd5+2i\n",
"JLWoTMLukvoB8wmB8tXAy6nijAPpi6q4SPFqcSjtMVh4il84wjoBlaUXggPB3y6U7RE39z4sc32l\n",
"utz2d03Xba3OpvKHIazzTkuGG0AeArQX2xQeFAWDhW4ZBDv+fQ66vEXb8XGEkcyeppkruUZ9dA05\n",
"9sOlsFc71mLQtdunB+ec/54mFAGrJY2ZcMIX+aDgoaWPw/y/tO0AAAIsAZ5XdEP/AAsSlYRGXFL2\n",
"Is5UE2/B1UgAA/0f7wFQvs1TgiSJvWgePjPioH+zWEWekxWxYLvLMz3A5/Tx3vifL7yDom1QKJUX\n",
"KcTWrRSBHC4pBYm9TnaL3zW/qpC45Jh77k2zB0GkVlYCdYgAQZtLyIa8YYUEssWjeIjCUByZFHmw\n",
"Gga/fyX0yrNfIpf9+2CH2OPxEVuKnOB2wCoGeGAF5iMpRWkJNJyBuQvCzPwPJsCTz9GiW84JgkSo\n",
"7/Vvk5kYHWQUANy3HBFsPkChPShMSqNlQtn2T7xn1aZ2Gmz8+ppmiOzDSV0QIvXqPjzL3QlHIELK\n",
"FmtPNjZuDHhXqsJi1WzSFqwrCOP8DFYXoqALoGZ9prBN67AdRQUEjZITbHWM9pVpwQHDiyao3Aj8\n",
"BDnEtcRTGKAvBXiUphyTxIWENHfzV4o899YJGz4EVw8MdqloI+RcMNkmigYMemdGKIDPwOD8Da3L\n",
"3ZyVrNDHAuJUdGvy8owmrmddQ3EN9K3SsgzjGINloCNwXc4qnRfo3GSNxGnjy/aTQtUyuza9FQRV\n",
"dFeL++gmoTHFy1wfsNx5fdLuumlN908YLc+wdYu3ZNeYd+89En2fv+h42OVFjhi+gwo2IW7Y7mqG\n",
"A4dqaBwCcPMu45/VreTGTV8XvURXfHzYjRbBAUyTKow7bx/Q0VcMSgHo0W/hlMRSvS7hNTVxtJXh\n",
"XOT4ms3pzUNRXTGIz5+1wprDK4i35AnCm9DKgAAAAkUBnllqQ/8ACxDTWu7q256jeO+mMXBTiAEC\n",
"GLE74kJjVhrARC19puM9RPMWsbCp8UhniEsw04jYg5tEBoyW1G8HQ0nAr5fG7WCPd+8U/xHlIy4V\n",
"tpQ14S7N0Jj6PCKu4+vVo4dVq0jxAv12JU3uFzMeJuC4lvpZZqFuc+n08reFg10YtkaA1xk/As6g\n",
"zzwnH4WlhCMamhyoLSI6FY+I7ZVKMN2i8mdn9Z3YYNBeyeNCwJR3PwAfX2U6hlFV7SJyGNd4w4Ro\n",
"ZqX3FEoj7Tgu93FeS5Uk7kDz5ivXYF7xBgYmm1ZDcsrILIHh+7jj+x0nA4JQnD3LzN0ojErYawL6\n",
"lR2RuSinwdOEh8YqF5aGBdMiJCfrsJ9FWeJHpwD+gBQ9XdmrAdC9upei6om1x0gwsA/mgjRFGSao\n",
"f6fKTBvqRvNqUPj2+Z+sKQpgeauRD+LOQtatyhZJDHI3YZWUPGSGuRJdoFJ2wE0HXTQvepoDXOak\n",
"MqfYo4kkhKM/TaVzUrmXjV+ZRo6gOZ5Bfwnhr21RPlRKrerwfOxP//rf2CvVSPNzowLSK57zO5KM\n",
"dD/teobO9DXnZLVVCaXuHhm5tNuWCsJc5og1jN7E8Gf4h6QobaHmvJ8F9c1K5GHxsBt0+hdDLMLE\n",
"DoHPWehHe39K3HMZQ0V78KwpluVSmyAlqof5fzsv52Q4Cv1XNhxknzZ+y5dXRQQdUwFvIET4s8Xv\n",
"vNEPVN7f2lCazOEtX8l7iz8FicBi4hAps3wMB6mlKQmTco89GB0p9n03CwAAB0lBmltJqEFomUwI\n",
"J//+tSqABAGpeS0AFQI92/EzolyRK3r/wu4dpMqwxMbPe87SM95Sk8nFNE3n9V4EbuJuzu6bhDyK\n",
"Ho+hr//uAmXxGFShURFJct0uZ9l/fsWh+aTQeBprwXqaTB0N18Pg2YyX7QO1nVRkSUuMgHf3dto/\n",
"QGcCbYLBC5lXJmM+xiwtxT/VUZrD2JMGzqJh590QPGxbToYfOU85tPUvOnSnpw5tJyaSE5/y8RSe\n",
"5/hSD2U5LOQFTBcHXSukm5G+K8umRs+dRXlq5wCg33WnMCR+IbISXLWSrt0EXOWByvA+FiWEtiMo\n",
"EVwyEOIZiGPoPbkPjzyQKjQ86ZDwTH+iTiiYz8AdIux696TXFPGCz9KtCMYHqJJF+9zlx7CBdq5m\n",
"ljX/fD2A0/HXfrai4CueK6r/KwZ6MSrFhGHJa1da+VSB5pji+vVdIuqoL5/l0O3LZWbx7HDE/F7b\n",
"dczfmhiXoSPaSw8o/3oeV+ZJnzibOa4Gp4r6nDflheUBHrRwP9al6YMWXWjvrErD8Cv3evUOJxgT\n",
"m8DhUFwJ1w5eNDuqs31qnl1AOBvkPY6JhbewNx4eUQGrkQQzPJJ7ZLjYLlqIwirMKFNocO/xE7zr\n",
"JOXZ5bKAvAsnS1HFSxL7P2tz2359pU84H8PYDVOnnfQ2RIabJF9hpWngpeDEbHF2G5PW99Kb5BzI\n",
"lXcSdNRXYwqBgnX1EibT0RHrcOOo31P+ohUcjZybENGPZyLJLgfrAGWgy9/7zZ5KcU7T9H5MMnSp\n",
"iA3hBhZIAuwri+F6sW4lQBjXQddgu+p5BY9zICnUC0gHU9a7XDdBIAkRr61jfcMuaZlCEU1YvcFE\n",
"FLXQLv3zumsxwsq8AcIeZnUXmF9kKwmBoji3k7ZxbvU5YXEL5MgEYijB6MOztTxFOnACw+UeADCp\n",
"GS4smoEFVMxvCBY304WgZuivZfSYE14IAHHhn0q1Rz96ZHjg+en961aZvXlAB1tf066L6eB6gc5G\n",
"Is+pWRQgfxQBj6zHDRfGiK1/WZ/JpZ0clS/Y+DbL1eAlCaC6LMW+yuezEq4dSy0owFSmdakNNviV\n",
"EruZP3fSdxoy8NRkpgjKHrGyXBfZYmjxeenoehULVidEbZ3eFeb8eG7OoEz3sNBKEScqQZBhO4gB\n",
"I8y52j7jemXgbxav3eRXTbPXyBoyiZHS/CCRKJkAh60H9V2KO6rRoegvTifPAwXMCAJQPdVKnQJf\n",
"M9lUvh4hDqFY6WCJlhTeiYcjPzsoDA0W2rnrP3rBNRq5d4WYhe8+qDgP61g1yhyZCEER6wHwQM63\n",
"+nFLpmsdcSANlodz46z30wPvMo7hNENdpGtvOHLuP5QRhQ8QjyK5kKK1gRM5Vif8A9QDM0qDN5pD\n",
"GcAfnKlYi48ELidO2wN6h0F2ZGIfItClRor1QYS9cpiQWtqLDCl5Xm9YpHYY8GMsKbEIPLnEJwAH\n",
"sZAJLb6PhFSxxtSs2us5KUAj7ZRDXzOaUAd3Gc4wPv5RMrFDDagtedCEA/OuWdHLywfyGlMEs27T\n",
"kkK1HjdcaVm7mYqTCMr+/vhvoYCoSRUWjv1rt6rjkecJ24+ffZ5ZZsZ1Lm3EVKasPY9HpM2bky5O\n",
"AqHJ3BjMU3m3kyqzv817JmTePzGHSz5esTtHVyhErXorBY5vRPL38+x8QC4jr5sfj7VzSAQh4hVf\n",
"RSRhcPOgGhcqqflPtZfjK40P+Hgagk2luKfPFGjlEpI7soisKebL0aMo71/7Ui5k1/DQI+sRLJEb\n",
"G6QxhtbZsRDIDZWC+NeRNjnz8oExmU1m+zgs+I9JCZj/nLR5neF2JNdm89MA/PMSKlbWMx139buU\n",
"K370c0dAIKY1nrrh52n3lyVQuXCbmMcIllVVBKpGp+PLiycShTNoPHGvWbP2c7ytRXo4nxE8bR9m\n",
"rIxrqOmDJPWPYG8dyg5cnfmUZLhvP3FYUgCM87GMZ127ACmZMbtQesC5mcqvT2mmkXK2E5tDVNec\n",
"19dZaU0o5Vqm6g/NEXfGUubGDT6AIvdTdK07V1BknSyBu8LBsa53S3EqfhsyVbdynJHYHnQfSvQF\n",
"dOhGyvhnH3A/B8oEU+UJe6rdNvshq9NowkXvADGu7cz+DeiyzZnKUj1wbJwogJ6GRhW2Xd6wnThs\n",
"4NAh3g3bWlDDYJJ0Z3WZ5fdAGLFEkxvea+Q7R1nHtnDJa4ek+vI8zS06PAVPEe10S+LWEyilzjpq\n",
"0awE8gSNve/+KDT/ZjEAH8jSkH45GZyY2Vcx37F8BGVlgAnInVQSCZLoXQ9RYKj3mcGl16Ht0Tam\n",
"7ePUatAIrjRtZCdgWvisIRA1+IKsQkYslJslZtgryc8bOB7RCG3yGN5scKLSwSfrxV5qTY378p3+\n",
"UAyzWtetrr7Xw03StJ2+12bQeYQzKxpmVKqLxwU5MgETBOe/jYXfyRgbiLUaOAHJaqa0xHFwPxaZ\n",
"MWlTfyhsDthpgArORzwYcNmQDpRaFzLGjbevuhI6oAAABkRBmn9J4QpSZTAgl//+tSqABCGifbMS\n",
"OiHNS60iw3NAAW8BAW4+FItUILwMZNgjbrhgXvKGr/0Ct2LRJFGjD4YhsNMJb0D2X3GYxtHLX2Ub\n",
"5M018DiYMf1cLw1u8Lck87YAOoXHH4bdSiUBdmBsIACaMkshAM74RiFMoXlcnXlZU5LLMd5GN3R5\n",
"z9SspDIVWNTUuOhnvjLDrHfTvwAARpJFaCwnkYDghS8t7sw0nEFPRisc0waUo/Tw8M8jIVOyIeHf\n",
"W5twn/NL6V1mwdUz2uRQX5Y3e6rESRdAvIOQ7xMQS9PDaRtde7FsrTd0MBVwfIEhYWNVA+csFnmz\n",
"smg6PLcz1WBTyklcTkCeehSqc1JpOQd5Z71iLrzd2hAxpvjr9R1+pvFFZaonbJfKBlgrn+ScPewQ\n",
"9vzwua+XNDqmw5P67aBIVUmGzLeprszi/RnyyxpeyiQaEI5ZBmKm2bMFj7QSvIwRjzB3OOqLucvr\n",
"TovhNWuabMuXn3dko0NT4Smu4vzcZdTkOzlEWNrb71xVELjo5W8vrMpMVnM2Fd5ZculMnJg/wT8q\n",
"rGnGmPk+xfqxLDokh4euLSX0BvMB2dHGoMNvuWt0rvqjJI/4fdxDuc7D4XGbV7lwwITWTdVvnutU\n",
"4a1BO+QzAFwd5dwfqKIkq9jJ78oQoaUmz6ALkA+6cIgmzQZMa5Ja2wK6woyBuBod6e8CokqQyjVj\n",
"Bp7ngJXqoszc2GRVre4MJI8BJlyU+VYx3s+QyYEr2rIDg0rYft7A4gPOX5Td4wUzZtI0RhhsEbBz\n",
"ZfNoFhd5mF8p6F0NLwtLmDnX2k0/6LrNBaZxGflD3L0sdC8Mtv2qt3PlmUMGQhtdm08N9O9rs6Ql\n",
"fr0Dv+BTU8djhOl5twLtEBylUcZc6TF922M4cinywHfSv1wI8qfa61CErUSgfGGugBsfHzTHPuj+\n",
"iisRZRHz+3co0jMlN++rXFLVBnhjfqqIPHp/JEi3KI7EwQPub8cDTrKofjSAeTgibmqR3OA5AIYm\n",
"qQehEM0Pefg4aPqH6/VEXZs4ZR40U7t/SjdAdstpmxj8tRQV43sc0ibJ4YSlOvsm1YttqUsaBm1c\n",
"3b0Ocr4UTINsN5bQESwDQXuYUY0+ZfYIF+vQYDBmOgI+VSk1Ri+PXUrGtMEEUpqjqDvY+iD5pj+e\n",
"kyMxqf3T0v2lM38LT4iyszT9/0AjXzkHdJstOgrJT0f4rgK6QilJXrLu+TlUjgdARuSUOrpSUbI7\n",
"Op8FOKChqIlIzYMHONyQ2dPDVmOh98Kr1l+rB3y3kLMKDMsnJ/fY4e8oKV5CwbT3yxvubENeSXQE\n",
"kUQTvw143FDquAlL99h/QBGGBN8MeqVxsSTxpq92rgzODzjankPwDxFmD1jWhq1YJlZ5fCF0QxMT\n",
"5u8rG7G2UwzonJVLFQHrLsfPF/FQfxIWDwcbitlMS1aap+8wXZc/ZvCY0OP87A0KTDk9eWbeSzyu\n",
"7EZjBK7C+IIga+sDTCQ1kRwBgKWj3s1aMBf4SwmdOxmx0ONjVLIcRa3iYRsqEPv9ZSAxS4lst4Kr\n",
"8Wx2JmCAn01xGKGKk20NZ3XUQU3tikR92U4qlPFdH8bvCJEPfQLwOodhwNwVM+SskilEbgR1zbbw\n",
"pq8mY35tKUoBOvnQy7n684+paCKNIchtAZwLIp4pXTW0e/5PyMJIQN9BOEZIChA8DWerDqYy7JQ5\n",
"UUgfcAugAXl4tzuk+LIkPLYHubSPqf/om5LwbbUf5k1/VOUphLS3z17Kr4C0OU+ybKa+7l13THwL\n",
"qwfx1Wg5aYrAYowNGMrnoor74WthR+iAhQzD3s2LeOYpVao+1c6qHnabZkfKl7WwQVQiH1tiTdHf\n",
"xcXu51QzvojZ0hr89mCb6ex7G93qX7k3vK6KTDLSYXL35KI67SDjAPKklCAuly6Qm5/U7l5XGaEq\n",
"GtVg77UW6tm/fwEBJazZ5mVj6JFs0cOQjvFEog9WKmRnHKtv0JBCgSs3lDoL2b2+HMMzJnQKcp6z\n",
"LM+6aOytqxgLy/55DP/tODWxLmfYtUdo1EvTy/4lBi8CcvkV/MS3QT+Ac8QJIgzTX/lkNO9t3tSR\n",
"31GfjtcjdoOGWRAgrsjIDA8LOzu36zD/3nGb3mm1e2qHp6mNoIxqzoBhwQAAAkJBnp1FNEwQ/wAF\n",
"QF6f5HYIR0HiEHx75OBApuAiMuxEBtwczQwjKicvbxf7/v3CfIJlKmwqnXtlx/uGGyoFjVbkxtKz\n",
"GDZTrI6hmPzVQx1ZZmRabLaNH8YDFrpC4EdHGHVr84gmQvW8U2kGVOpVcuMvsKUcyzoPSIZTo01D\n",
"A63WydQMhIUFjDsBFVg4VB+/Njd/ckrjYnTdUysIk0hj74d7MLXHxhlPhKt4C9u4lRm46x2pYMcv\n",
"iYW96HaJo24SNAtloD3LS9BF8E+OTXZyJ+va+qhNEjgaUK/hwBG8xJ/4vz76X/kviJhGmokwlC1m\n",
"uRE//djpYsYBVEWzHhGz2raWU4MF0pOVCC2PG79Rn3fiOaTJHsQv0l7BqQ7YQbWtkJTvBrloIiP/\n",
"BxjNlhn7oeR6o9L+O8aNThbv/+hQq6S2t5RKdbLFolhdYrAsZp0PAeu3buGmehfZOqplAPREoWvb\n",
"Vy/f/kTn/6gXr5LoUz/iNtHUWKozjcpq14J/2W8y1+PeusnWzIVil9a0QgEPFZXV1HgaaOcu2OTG\n",
"QJ7GY2JqkOYgd5n5NSBKdt5mdFATKnxZlAXnjb9xaX+qrIiilE4mfTFV7wAMB5rdTi8/wGbj9tfU\n",
"TQh/1PJ3Lop3mZQr2R3H3dRUMGJ+HUJP6dK+Q4GyV45SIH+dzHf/5ltE10qbIm9oIlU0npduheFL\n",
"hY6DO6stAgl5P/OZ0L7H4KWNtuT0aLpf0qaZN+8gE0fbyvgogsOtfYtL7myh5HMtaczv0LKP8QAA\n",
"AqIBnrx0Q/8AC1dAowrqW5UvsgEhpWf2Q0AHcUXZ19XYOgS/rSafQMTkwu0SRwRqC/LXlWBnLb6f\n",
"byF4CVvIHyCP0ILiskCTeVJc4jOyBTTZVs6kHhYGaW1bfWXGEL0ADg8+hGlQtv03F86V8yn0jZZP\n",
"5lmoP2huZJ8vudXNkSSziRS6uyWAaF2GbHBjubG+7NDjzurnHzvsuuIXzlC0HAPY76tkg6CQAZaM\n",
"7Gl+WFnlwmQLeImOYhZP62QD/OCIqZllwsRCP1rN2z/lso/3eo1ljna7UK+bXKy5b4QlrI9XvaTe\n",
"9O3SBBCDYYo7CTfqWYMNm2P6qK9fSaSK93EZSy87iQvESXu7t/24W7K/9dtVWEvMAuOdkcjZ3COZ\n",
"ruIPOd7DNbCvLutBuM4FjhAyTtongrx/pjRJ8wN1DzPR+K4ityc9aFq0HZu9l+oq/a3WWwELUgw6\n",
"1LFIaMz8cUbQSsM4NE+vAFUPuKd3uB1KfpS2ZheZjy5o5n6r719lXG7U3gCgBzgQ/HaRSmHaKZE9\n",
"wln/xpgNJ7Utxm5tl+rWmxiKVY1RAdx/I8rYEU6edkkqA4fqVDw6alzryfWPmxz47eHqcvXUeUHJ\n",
"aJZnaIDbZJ+KzpYwCUGLkDKyhxm831KL18YYuTIFAOa1ACt5EM1vaTJ/j9v4BuAwgXidkYEjx/Fh\n",
"kxxDQ20LIXgnuK6e1oAsVDybSqjSx2lCBQyvDNa/DKyjNdDusZPD3Xj71FULS5oZAGBSDvufGKcM\n",
"mAEEoiYjF8fO+p0ITpzT/lX5UZ35AAm0V8T2fgdKOyajJDDxFT5yie8B41j/H0Bvjj6ulIDJwqtc\n",
"NoIt3tlMQcdu82zfigmEi6IjtAZaxms6Rh+oh4O196/FQprMcnkC7yqJu4X4+J+s4AAAAoUBnr5q\n",
"Q/8AC6DTWu7q256jeOTvKSSZ7wVjACA/O6rYBQsFXbkFqXVejQkfS0Lvzy6TGNj8Jtcbaebgswsf\n",
"brrz03kgek66cQfajiCOS0jgpTQ0x7UM47O7mtWUP7SLWqkGFuoWsSbBAMTH+IDhjCm3lTL0HAe2\n",
"fI1ALQCBieE2A0yd2jlT5M/zdbyhQt9715gmSfBuq8SafZXNp+SuuyHZsVm7ewSdz0UvnmUMUWFM\n",
"aLJ2TdBFSMS2pOMrC4PptSWnvhCLs59ybASDc7fBQKkZAf3Jz/bvl9EA64aU1iKQJC2BqmS1LhJm\n",
"74PQ10LrNMc+48LgpIE2Fn2PE1B4I++fD9GnrKov4E+izjKNr1XR4/RSH27eoQ+G0zJLxPJZJo3Y\n",
"iPlXDI/e1ioMX/lTrIz0vHYqKiSWY+UhZYTZ8xLC2cTJ80K1OsgPv9JhZXcSHGD96o0IQKD4uHcE\n",
"lk8g2aBNeMYDuyauckBMuFPgA98HIgWZe73APyN3IbmOYKm6dgAqTes2FnRjFe0cogO4/keU2Boi\n",
"JNWSfajcVH19Ry2+COUp4p+1WJWhsLsU4MzcYkqYqu7jTGpvNP6I7jJ3raUOl2T5bi09h/KBtJOY\n",
"3dP/jX7wnt91mE4NI6nx6XicybvZrrg4yXzHG3jPpbBL60M5Jwik9liJ8QU9zsgY4byxUC6A5BxH\n",
"TWC0l/NBQEpxqGbmMOUNYmdNqCh938Bv6pAyJrCVkDfWBAyrnV5HMu6z7PVQ0XDfFfY5YKr2v36Q\n",
"qpWqxIn1ij8PZ02ZdDBY4kvVtrK0zhC27Gi5aLF4jTXcD9kdHvPEZxgVbfCFZ/yvBvlLPtfSrc0a\n",
"FJq8xy13WyQQvg2gcfAAAAVCQZqjSahBaJlMCH///qmWACEGPkl1efWGH3ziAksRmBVJpV2MNe6W\n",
"zAwAcJLJCsXX6mOuYT9vZCs++iHCgI60hN9rLdIU4KXs0bJamn/mW7R+095ANnmSzwRwiacY28s3\n",
"TxerlqC1kXcwyrQOpKPa6PgCZAz3Unkr7GU86bVcF5BdMbQUUFckTmyKX2Zr/Zis7B8LR62/TCtx\n",
"weT9ZEsXFhPFYMMUHPqNsYD+PHIEzPWvc49hw8+3vVRTc2srt/megqTLZodoNakv6rDPIsA0kt3k\n",
"vtmj+8hQWAxq8OwHJ33Ls7WUPBE0BbCfqlMOLHfQ6wMkG86MXCTjqzqeGzJ6sJKNJpL9tH2MAvwL\n",
"vnoNsegCU23ler8j9XQdVsJPTnOT4pwFETqb+JIZ1i8SkLZCG2lBhw2WwaiV5r5FKTRl9SKsrp7Y\n",
"qPanjA2PED4fsExYeO/snJEt5y/fmAhqwz9twLzQpIqh2rWtHU7aPsIfYXDCvhq4bkJCu4gdATsK\n",
"T4g+Bgenm4INskytlDEpdiAk02R+je/3Yp/n+jyyOiSxx96lTCgSuYpaAnv+074h+W90WHGbAnXy\n",
"tYMN9S512PQG3OMoz2ZkUWioTPq3ahgwcH1mLmootXsa4Zb1QCaj3rfT9jJkJdTLOH7b/AbMlGpa\n",
"Lg+9J81o5uJeyPUCdvqCDzBdvkHWc+5ZmIhydmTqAq23a+VpIl4KEKa+C1s/j33KmBEODoO/ulbI\n",
"S3WalKVad8DVYCKqX4/2R/ODMbgyGQ6hlpSJEUWY/gdX1khAAwHR9lcZbBy87FRCt2Pr21nrdMyf\n",
"1fn3xOhS0s2g9Yvd/0Ab5UbOzDwRc/LBJBx1iXB08ZNDHltripSHZn2i5HM6GBVQ7kb/Bqm1LiHa\n",
"wdxQcvpDK88qc9uCurD0xZ/S2uUnmvHTbu7qwou7Sn3i1oNxZRdThpWfWLUrQBhFUJGZUVlyI1Fe\n",
"kko76F0Qr8gvq7rP9EIwWuVAhTHpTp0DRj1Sg0A24zyjt5EBJAvTE3mzrOuKfp/9XK2RzKvcRCpe\n",
"khgl8f+ww/pFCAK9HnggA/0/IrL4R+jqP5WdyVJUmt8ZqahijzbaV+BQb9GiczU07Sq6Ah/kL+TK\n",
"0YxYD10/qpYOmIKb3OaMI8KzMD/45n4zswbnEQxJcT3TNKVB/686ZI5M2MnijLmdt9VMFKhg47aX\n",
"QIBlh94dicRxT3KKhkEVY8wEXrUOQJy5jxW75yZz1/cTqh2ehiGy0f4m9jEP2jevzuopLWnw/JBM\n",
"gLBs4kA338Rx/lGBthgg/qaSiE3P4wXWnu+ZJxxhjUmyEDR82BVLHnPF8lqEax9XNr1rWFQ3e+CF\n",
"km36Ajlkv7thOSqBMy/343WfCiy8qkyN9HPGe9ElsyEtAA+9jk0GnD+vWmBDLzlvNcQ01PNE0RKm\n",
"F4VsYph08RERROWMrCUNwFYaR8twgTR1Xblt+g+c/HNo8IAxM6UxI7icdEjiSphy0wjU1FVsDYS4\n",
"NUDUFcpIP6KycOmifMhvxD0wJ36dE/6WKzJ0ZjVp0c+EmJztkCU7qFxZ65LWKWMWX1jNoD7frgFA\n",
"FnASdYMuOCRcl9IyKxR3NcUp7lz2rz9aObeQfVyATZ5WQUCbom1CWihaDXJ8qbGijQ2riQCDOxdm\n",
"1a8/2/sbNYwYhkL+CgCcYedNu3slwTs3B5jqEwPhkMd9av0SDyK/EUFWzOuqH5tCIVxIYO4N7vpU\n",
"ae0QEgKrRQUomM0cJNCZyvduSUyjaz8/mIHteNQ7cI/jPzy4iHWN6csgSwZNPevRR6jIDREAAAN3\n",
"QZ7BRREsEP8ABWPFI5PLG2Sj6hPrhPq+KQ6R7ocJeQV/LZm46krm8NPR8P7n0AGhBSRaXCUZKLKv\n",
"PZ23E+qvOYLczTPhSr4O+45fZbhlE/KcmWtgqLvOyGVmwUPWvZLRl7RKojim0W+G0hDkIBnanbZU\n",
"lMvfCa3+7KPihTiIpk3CDjvRgWCx+f3UG1dCIw40WGW1biSUs4Xts6lhxWA9kENiuRVflqmNbjl2\n",
"XdIj+P/05EaRrcPsmVAt/Hh4lxCV6huoMb2byxBJ+RBqlax2tBtCDom7KaVVq/LxetgDy4+cfwlO\n",
"JiT9b09CRTPo2CmTBxt5YnvgxOufxJfpR690DcnFA43sOIZ/KyufV9j0fIKrfq12afPJB6n2ZMob\n",
"KKm1lWKCa8QHxgK1mQGZosGpM45HpNW8yiuuhtUAzvFLIWsR6Raua0QQwHVom53bfGBCK+0Mc4dX\n",
"zDyYMswWJr2YjQbDMTazdeoweCgBCz6vRuGmUWz3d45FaIvmDe1SIPbN0RTKTDbk/nWT9wOGtEvB\n",
"oed5NjEd0p2DOsS61wVXp4BOzMdIpvheeDuBFerSTECSwdlXdNp2wiwsbP46aPnkElwlpZr+kyPA\n",
"a19kuCGgJJ6XBCRqWRSmh6Ndb+R5TYEU6k0UA1OWJU9fSa4TssUnay7iwX00aiDTn8wgdt/QXUL/\n",
"Aa2OA04ehfXweb4G1O4YkdobWNQcY2/PBbheUNEK4XeuQyT3tn+GXwHPJMaAhl8nyHOTGpvf1R/C\n",
"AxKxe7wY9uXgoSZu099IB4PRNrg/I81Yc/kL1++x8SSVP+j2uyTKxyqIxAhzfZ811yALaCu4xQCN\n",
"GmmigQA5KZpOv7x/leKFkwS4fZC2hqEg6hNVFZj0vv1SK4PhBRju2znQug3BdxVQs6q+bzkBju3A\n",
"ycIGpSfJXJ7TNrsREQ4gNygiGIudAave9BcO/0NqrFUt6bnOEFWOxHtt6bIkqRayJY6VNuQbXZup\n",
"GLjVW4VFEkBcTJyvdq4sHlJaqdaTmft0YuEEgYVGvnk9me2ZIqFDC0s0eaM5MFmRkDU/SdXBqNe3\n",
"V45xI9/imoLbHszETK5j7EIAYQ8oq287qTyISe2Li3Odu8hog3l4Mg7XKKz8HChI1IeScdGEmsBJ\n",
"h5SLA8yfA+2TiB/TM2IBSAAAD4NsvYSG+ZN+RPOQtoAAAALMAZ7gdEP/AAvv/NVnLlL2Is5UDECe\n",
"lzKrAAf1JoNLYrOQqOU+A9dIbCS6BI+Z6eBDvSWw2TfZg+Wlctfr0ACit0edpBdtSh3D5bF/fatq\n",
"n+20lb1vn1KgEi9rYpaEu0ZYYJFqOBriujF74HNA0z3i5NBkWZPzmUwCh5+McXnADbHk/ozTotpW\n",
"o0VLXApUH/iakev35RY2rFc4VGRJhCtiYjjo4KWbW8XVtJx3XOcPH2fOCEW00I8drumMzULolHzp\n",
"892l7AAQGmhqV0d/rMFWlAzpUWl4YkL5SsweqJH4+4nzAlLwE3lR/x9HOei+tGgnkAvE142gu6Cn\n",
"0Akmk+CtkgIUHpfaBH9dGQ0HyvzU4X1Zw8tV3eZCDZf+B0bARtsCdLWOJVQ3Xy3oWkOlAga9w5O1\n",
"IA9JkBk2aIyMonr2l7XWxF4Oo6Vk/2uHaw3YgPR/zN4OCZiRWxx72v72TsjNsRshr21EwaLz4UKc\n",
"pBGX6p9uGJAvSugAullCrZptLjE5CdDXDBIoISKr+qO4KoSGX1q34YtSzT4cJRcJqyTnXTxQbkM2\n",
"i93FmDcOOZf9rhhatXOmd5wMxWVCnoODAMBdv8/n8X9/QB+HeXWVi940yGKUJlYOszlMlNDmalps\n",
"ZwoOh9NQt5Gs0kroMqom9NNhRXJidTG3OTQutXm5+9bvcWzfnPqVYXmTdiQgufjqDJDVeZWxdMXi\n",
"YigdBK924lpRARb51KKTlCb71C3klrcndh911guFkCE3H0Ea1r0ktU/XQzESWoy4jJKMJgyJlElE\n",
"8q+CG8K6P4t03CLHQDZKHxFxeEGJeI9mJTojrSda7dzUMkaBiNDhrXz+Faqd41ARh/dzhI1ouo3/\n",
"QhltYaFZt0F7AmSWOnLDFyYppelp3uqwjarXw/rAV4SSiW0HupqV/wNPtwsBx/2saIXiMHARj4Hm\n",
"6QGElIaQmsmylTEAAAMyAZ7iakP/AAvt8W/ReTy0eUW1gGcrxALAB3FCKEa1NdQ4oW0keBmE6jY8\n",
"dE1AwY9vu+sm9UI5kLJiFLtiHdDUt5EeeiJmkt4X/MSpOi2SIl1bRBeTxgjgi1HQ7BkDT1sajn+K\n",
"9Yg3CdL3PhYC2FfrmV+DEQRNEKI02WMLUkvLB2pGZVcR/dVMIFn05sFd/wvmlx1cgCO+pv/z0NIO\n",
"yoaZDh1PZFkKxA37lpQ0+qp4BF/TZIDXKk3vqpPku1fg3kFd2vTpfukYi5P0AhC5/nOavqFnaNuQ\n",
"H8Uiy/u8XQ24DfeCTtuJIpLzcDDHKy3vjVcyev9/YSGjubj2ZbZ9EMd0MknjNhiuCBY/DVhZCk0C\n",
"X1W2w/wARmLk5F468Hsuj64aoZwr8oekFwb6FKc1lCqwnc+XWrAx1L+rS/tdKAd3NphAV90tDvS9\n",
"WYgWbkcihFeGBebJL6EsdRslge3oXBB8Ej8dkCQ1zMDEQrGX2iOD2OLGEB4Os1PhUbQ4k11s+h98\n",
"b2RJg4GBYuu7U5+mFRpwtusKuY9Mf9JVMr476//QveC67zsfSjWyUf6zz0k42eOP1+vUca5IuWmA\n",
"Iog3t/KU5eb9wr6LjTOF/8/HpIwxkgH+Bow/E9z+TyQ6csXhY2/SUa2NaaaJuczP4zAvW39ZcdQ9\n",
"1w7BJgs/vkReTlgDnWZ/A+NPd34OUR+e5ggv505QNiFTc/0KXf6s6sYz8GgzpTYpfy6MlxNuaPzU\n",
"jYqWA9Qjot/an08dwPzEkgZcBiFYVxNv9fj2G16CFe19QYIc/8qxPUjsKKJR5Cs8hID+hSAUrNVf\n",
"C2oX/xn22s3UNL0FKKrNQNc4/E6UlGQH3Nu2A72q9bIcSiXIktKpaJ5QpP7pdgkmmb4RCwGPtDxn\n",
"oBt1VDdhZRU4UogSX4VWyIfXyC7KvWgQLLyO4JP25gKZS+ezpKX+r3r/a1pG6F7LtfTPekLDC49t\n",
"SVPhBp9Rxaa5fz8OdrGGDwIVecGKtM0I6tmtKcyVNw98S/oyb+fuXB9f1gmCU/HrzaIPCV1EjUzR\n",
"9G6GqXBt5/dRe38LpBOMoStWMpAOrU+BrAKRwdl7V1jUrGAAAAembW9vdgAAAGxtdmhkAAAAAAAA\n",
"AAAAAAAAAAAD6AAATiAAAQAAAQAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAA\n",
"AAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAABtB0cmFrAAAAXHRraGQAAAAD\n",
"AAAAAAAAAAAAAAABAAAAAAAATiAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAA\n",
"AAAAAAAAAAAAAABAAAAAAoAAAAHgAAAAAAAkZWR0cwAAABxlbHN0AAAAAAAAAAEAAE4gAAAQAAAB\n",
"AAAAAAZIbWRpYQAAACBtZGhkAAAAAAAAAAAAAAAAAAAoAAADIABVxAAAAAAALWhkbHIAAAAAAAAA\n",
"AHZpZGUAAAAAAAAAAAAAAABWaWRlb0hhbmRsZXIAAAAF821pbmYAAAAUdm1oZAAAAAEAAAAAAAAA\n",
"AAAAACRkaW5mAAAAHGRyZWYAAAAAAAAAAQAAAAx1cmwgAAAAAQAABbNzdGJsAAAAs3N0c2QAAAAA\n",
"AAAAAQAAAKNhdmMxAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAoAB4ABIAAAASAAAAAAAAAABAAAA\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGP//AAAAMWF2Y0MBZAAW/+EAGGdkABas2UCg\n",
"PaEAAAMAAQAAAwAKDxYtlgEABmjr48siwAAAABx1dWlka2hA8l8kT8W6OaUbzwMj8wAAAAAAAAAY\n",
"c3R0cwAAAAAAAAABAAAAZAAACAAAAAAUc3RzcwAAAAAAAAABAAAAAQAAAvhjdHRzAAAAAAAAAF0A\n",
"AAABAAAQAAAAAAEAACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAA\n",
"AAEAAAAAAAAAAQAACAAAAAABAAAoAAAAAAEAABAAAAAAAQAAAAAAAAABAAAIAAAAAAEAACgAAAAA\n",
"AQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAEAAAAAABAAAgAAAAAAIAAAgAAAAAAQAAKAAAAAAB\n",
"AAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAoAAAAAAEAABAAAAAAAQAAAAAAAAABAAAIAAAAAAEA\n",
"ACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAA\n",
"CAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAY\n",
"AAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAACAAAAAAAgAACAAAAAABAAAYAAAAAAEAAAgA\n",
"AAAAAQAAGAAAAAABAAAIAAAAAAEAACAAAAAAAgAACAAAAAABAAAgAAAAAAIAAAgAAAAAAQAAGAAA\n",
"AAABAAAIAAAAAAEAACAAAAAAAgAACAAAAAABAAAoAAAAAAEAABAAAAAAAQAAAAAAAAABAAAIAAAA\n",
"AAEAACAAAAAAAgAACAAAAAABAAAgAAAAAAIAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAACgAAAAA\n",
"AQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAAB\n",
"AAAYAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAQAAAAAAEA\n",
"ACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAA\n",
"CAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAGQAAAABAAABpHN0c3oAAAAAAAAAAAAAAGQAADY1AAAK\n",
"0QAAAkAAAAKXAAACrwAACikAAAIrAAACngAAAp8AAAe5AAACIwAAAmoAAAJAAAAIVgAAAfoAAAJk\n",
"AAACZAAACBoAAAhEAAACRwAAAkMAAAdZAAACLwAAAh8AAAIzAAAHTQAAAd0AAAIwAAACLQAABusA\n",
"AAIqAAACLwAAAmgAAAcrAAACKAAAAjoAAAJMAAAETgAAAk8AAAgUAAACkgAAAh8AAALIAAAHiQAA\n",
"AsUAAAVGAAACmwAACVoAAAJkAAACrQAABwoAAAKrAAAGlQAAAuAAAAqYAAACtAAAArQAAAfgAAAC\n",
"KgAAApgAAAZlAAACeQAACqIAAAJUAAAClgAACGIAAAIlAAACSQAAAj4AAAocAAACNQAAAoEAAAdG\n",
"AAACAQAAAjoAAAUXAAACEAAABrEAAAHHAAACMAAAAl8AAAdpAAACrQAAAjcAAAJLAAAEhAAAAoIA\n",
"AAbeAAACOwAAAjAAAAJJAAAHTQAABkgAAAJGAAACpgAAAokAAAVGAAADewAAAtAAAAM2AAAAFHN0\n",
"Y28AAAAAAAAAAQAAACwAAABidWR0YQAAAFptZXRhAAAAAAAAACFoZGxyAAAAAAAAAABtZGlyYXBw\n",
"bAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28AAAAdZGF0YQAAAAEAAAAATGF2ZjU4LjI5LjEwMA==\n",
"\">\n",
" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"xdata, ydata = np.linspace(0, 2*np.pi, 100), []\n",
"ln, = ax.plot([], [], 'ro')\n",
"\n",
"def init():\n",
" ax.set_xlim(0, 2*np.pi)\n",
" ax.set_ylim(-1, 1)\n",
" return ln,\n",
"\n",
"def update(frame):\n",
" y = np.sin(xdata + 2*np.pi * frame/100)\n",
" ln.set_data((xdata, y))\n",
" return ln,\n",
"\n",
"anim = FuncAnimation(fig, update, frames=100, init_func=init)\n",
"video = anim.to_html5_video()\n",
"html = display.HTML(video)\n",
"display.display(html)\n",
"plt.close()"
]
},
{
"cell_type": "markdown",
"id": "383c98e4-aece-4ddc-91cd-4b5f2e3d6063",
"metadata": {},
"source": [
"## Drawing a sine wave incrementally"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7b35857c-43e6-4d2a-9b13-f32c66ad9fad",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<video width=\"640\" height=\"480\" controls autoplay loop>\n",
" <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAABB221kYXQAAAKfBgX//5vcRem9\n",
"5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTU3IC0gSC4yNjQvTVBFRy00IEFWQyBjb2RlYyAtIENv\n",
"cHlsZWZ0IDIwMDMtMjAxOCAtIGh0dHA6Ly93d3cudmlkZW9sYW4ub3JnL3gyNjQuaHRtbCAtIG9w\n",
"dGlvbnM6IGNhYmFjPTEgcmVmPTMgZGVibG9jaz0xOjA6MCBhbmFseXNlPTB4MzoweDExMyBtZT1o\n",
"ZXggc3VibWU9NyBwc3k9MSBwc3lfcmQ9MS4wMDowLjAwIG1peGVkX3JlZj0xIG1lX3JhbmdlPTE2\n",
"IGNocm9tYV9tZT0xIHRyZWxsaXM9MSA4eDhkY3Q9MSBjcW09MCBkZWFkem9uZT0yMSwxMSBmYXN0\n",
"X3Bza2lwPTEgY2hyb21hX3FwX29mZnNldD0tMiB0aHJlYWRzPTYgbG9va2FoZWFkX3RocmVhZHM9\n",
"MSBzbGljZWRfdGhyZWFkcz0wIG5yPTAgZGVjaW1hdGU9MSBpbnRlcmxhY2VkPTAgYmx1cmF5X2Nv\n",
"bXBhdD0wIGNvbnN0cmFpbmVkX2ludHJhPTAgYmZyYW1lcz0zIGJfcHlyYW1pZD0yIGJfYWRhcHQ9\n",
"MSBiX2JpYXM9MCBkaXJlY3Q9MSB3ZWlnaHRiPTEgb3Blbl9nb3A9MCB3ZWlnaHRwPTIga2V5aW50\n",
"PTI1MCBrZXlpbnRfbWluPTUgc2NlbmVjdXQ9NDAgaW50cmFfcmVmcmVzaD0wIHJjX2xvb2thaGVh\n",
"ZD00MCByYz1jcmYgbWJ0cmVlPTEgY3JmPTIzLjAgcWNvbXA9MC42MCBxcG1pbj0wIHFwbWF4PTY5\n",
"IHFwc3RlcD00IGlwX3JhdGlvPTEuNDAgYXE9MToxLjAwAIAAABAWZYiEABL//vet34FNwEDta7pX\n",
"OLTLq5Q0PVH2lKZ4tkgAAAMAAAMAAA/wzb6fURXXl6YAAAMAfgATHVPYUWwCHEBPGl9ei88ULWZq\n",
"QvHcmOKrw8pwvQBRgr2yZoa3dzZwn33JPBigtPb+cHFlugFCU4+/Qi44nyJyzhQiz4LQh7MUBszy\n",
"hcxYsI4GljZ55WJ0rLodwd12DiGrbxKavFv6I+OYINOD43A/az1xG7R/kdS2i9gn/hNHOsK5g3NV\n",
"axe9AkL1wBNTG4Fht23eYyNXPWdXkcx9BXi0tzJ1/dTEESzltIm59atgXYLXafOKhLFz99ExlcWu\n",
"H9vVjTR7VkNyB5PkSNJfoLqjY/7KfnGKJMlWKMhOnLK22EBVF+yif+6XcYMf5O5pi890DbFIolVQ\n",
"UA1H0+yWX3IgN2RC6uJgceFN+Z8uI5pY+K1SuIB1dBaTwXhzFdP/K2+cA6/IoD7xdbKlEqUiTY0w\n",
"E6bkPiWVyKG/nlJ352BJsAyAby4oNRZyHwGU3lX40QAfeHZQeB9RAAj8HzJzENv/X+owWWNvqv7w\n",
"zzsTwMR2T1UvF70w/NCYffUi1vCnVu5Rj9syuoN+PW140Y6WIOvPUqVg3cUMlCIe/7UKCnhMuqCm\n",
"q2M7uXKxVppf/U5N6MQIyAnJxnEd5t36MFpFHJqnDRAq+semeWThGNNsqyLHxx49/G5ua5gFvIbL\n",
"OgaRiS+jfb6lGG3tgPalSWsUO1SalPFsk5Wh8XfOCaqgqcOm29vVeRr/7UUxClHCZuSXt0Lw2iKt\n",
"x0Pzn3wXm0EwbB9bvVJEBi5UY6uQE+whLI/Z8zK+vpzh8ZvD38xzzWMcPP/tmJjWqiEZJ9WJ+iWk\n",
"c5r9RsYLc67SWfrPBGRNj3883c3gihEcx9pFzBLpGiZ+g/Ru1ugZ5aiL//ZFOuLteZktFoQHSnBt\n",
"DSJj57UJA76ZP90wWPvIpaa336vz1ChGANM3yQd6GpBAOkyg/U+Cvw30RbIZsgAOthCAQywWjD5l\n",
"HLWABQrQB7MRU+3MqsdNNN87SgFxJUcv9DzPHNAUpqXGBWP7vWjHaryE3/OzdIrn4OLYJIyGvoJN\n",
"ZUGpCYz5G9dN6GA+wcklCEAA4El8KI3F7qpXMtpVSuN24L5kUyeFBaocSjFdTzSbeeTeNDOwxJtk\n",
"XlxmoEiQ0n2CVbM0F+NB5TJ/AbJPNl39jTSLTRuxf8a8o/lwApAyhWrKb8TaCs4EHoqDwO6FNdQO\n",
"KO7lW7k2+EV1RLydbJ0ZWQ7a3T9RqoZGBSuSSry/7+7WKqeCgIQpT3sHEIOcAlwgFR6acq4SJimj\n",
"hLIVsjbfikX4P5CURZXYIlly/QD0TeqCjgwBpdc6+ezPEWhDw+lz2LRMGDbSNNuZLacTeGUzaBbF\n",
"dSyY5OLteIUv+G/IRFrL2t9vfSFOKzALEYIPYi8+McF5ONdC18wAiqzM12e2Yn9H/CiDmLxJkMka\n",
"5mqAmMa/Y6tYmz8CEr1lLuQjonbs98Zsk/X3dcjRKDE2ExUvsNDZdigOCpR2iD26XzqHf27mrCZ2\n",
"33P5OnttWlOsgIy3qYRdGsEd078Z7+iSTZKRJwXHSJLucTnuFFlWjBzSLfiS5VYH8NyvcvOxTA/E\n",
"vxJlVsJs4T0mJwLSfaJNoZJ+QN9mU7lmrwg8wYmYDBocsL7i+YsG31qrPOGor7r2dc2h9ZvkvsH9\n",
"8AvxEKTDWhvwXY5XTnFo3Cg7aVJkz0URtCG71/czHHrhZi2e70zwCsxc1/mbe42IXukdKuO6mJP4\n",
"vluNLHD1ziO9sLKh0iOLb+XGi3c4IbXSIADyiyerwR3m5Vm0wXJAC0gkPPR7Jmb05DxT5ZXW1Ley\n",
"P59+roLKA5Wuf2TJqX4CFd5vvk6+2lxy1ja2UgKJUMfWJFYsfBlV0j6e1aQmyZnCCLx3tOolnvzG\n",
"3SkBSG0qDvAQ+SmEXW31ibZ+Nqz0KsFYUDbnfpiu8Ub8Xpta0O+u2ALJa7wRNQY+vbWGg+cgBp8V\n",
"UGgGx6eX97SUKi7eJP5Jhv7d9ct02XS2q1iXrQd9dPw2a6UPvSPw4AuEkLtE6ctVOjf7gibWnDh3\n",
"DwTLvJdPDoHLMigyiXTtRiRl5br+95h7q2IYPUwrlZEolKjhtKXrNOqWLIW93pMp7ye3yhUPz8kG\n",
"IrdMwJ3D0qfE5AVJMezjLpDzYlAkjZDGC20RPRSPLnhuRVPvrx3WZwuKqc4a1j+gVq4mYiBpsKhX\n",
"LCZPGKz2XosRTSaso3Z6KYREBUa7CoW9KCu51kw3wbOSTqaFkKXbtsqstTY+tyPnqN12KGa/n+L1\n",
"/xG7dwE6Ppx3xxnxfFMMf/c3nLbiB4EsfR7ZZMhoyyhgI34A0rW2b7ReZg4g8Qqlf/5OP669w1Vt\n",
"M5fDQJx+kLQ6TgvK7sRKVyKIAAAcVQu6v7mS2oGfZ7HnB6TZK7vpRSQ6oNpqhrg+xdT2FTy2Vo+O\n",
"TDSjs+tBHG2VMp2kXfVFGtM7U7nZSbyxwwTROiMz+yMZQcwSpXvmK1fObYJBGVbAig0gNNDpIL+o\n",
"GsYQ8zKt6morGkQBTbLtcqxJJoDiH9cbr65l5gWSe3Jjz7gaeTInDlZKOsmb7/IPSN/ocFdjX118\n",
"5N0soWgCdk2jz1gEvV0VFw3nREa5kisdU+nKmeTYKl6NbvTBMFGG4LpWymY6mi8NDFkw/sLFckjN\n",
"GDvwvOsn/hxbYpBP7bFP2bi7h8j2OTeqcZijCERBvNQ3T4GQkO/DFkOy8jZlZoskLrZasYyP2K7u\n",
"WQKdciqTjeBWJ1vDMrrbyqGUyQKq2CgAHGZ255d1LuZy2u+yp7Ig3cmAYV8BXuSAw9+sm4c+XqzQ\n",
"BXK11WyVzGeojl/5xaCAAAZoRxtV37UO0jqPlnBmwEpzOIKm0C09VKSezSDc2iQk8VGjz69FgtpW\n",
"Hsfu1X31d4Wxe10HKwNJLxYqG3UWWt70/7mz7EAc2mRQyx/lvpGJGFUu7uGjx16JaIbpg1id/12A\n",
"3bSld7u50CoIg8AMrB++niDEuRcTtxlWdDKVexCoZJLUMc1SDc7avIl6LOu6YY1Nh1Hrh3iPl6Hg\n",
"k7kBgtB3/85bldLfHwt51xoDdziC+YWujRrTL7T811HcRs+B2Hd/SUX30IB2OLdWOFmi5Jv1woJk\n",
"Unn3/m+dzuEdBq3AHuRH54wGsZDwgLi483eC02hfOFZD637/yLmCXQN3x8/ATIqCHEolo89CG17D\n",
"i7vNv0bzOm6dtVzFApQiWDh0H8kyhcTQFMEnI3/r543t4ULv8tKUsOxgGjQW0SNvjAMxXOuZU/MB\n",
"hD+3wi0jJwEAo4LM0rLgufostYi6BiOh8BUpQRdI7+te1PikHPNSaSHnKJtAYAABZW1ABtiukZUo\n",
"VAFrS1+DgaIonqulQMzVlK41WMQTXTh/U0RIpoO/xVPaeG6FqbCF5UKIOK2S1fgbV5jUgtJmPShZ\n",
"CT7rNflpSP/PbNwzm4XW/Ecjtiuztw2208zo+5+5ld6A8oKr1LPRReBidy72DEaN6/yH93g0U15s\n",
"r2MnVzFW5r+aBbaySDOxl76s1QxGbz68M3y7MijW1+7w6okijc+bH1gYXaD+MGrJvsrZOmTzfvpA\n",
"oxOypNFCGcYmU3cA/9j8zbr0GV4T0GOPXtorAF2n4tdhtIAgRQEfYEWqAIHR65+OjWMnvg8bQZeZ\n",
"4CVH6gD7YTzN/pR+6Pu6z7gdA8Sv1dXjhBNxCLU95/mRTI/uh45vuWc37+i7NVqEPlht7yAwUQc7\n",
"Z61ICiPd6xa3RG3/jM4NG+whjW0+eY91BS1ZcaBjpQObQER1AAAJFD6+hU8sxJi/dVvm9hJrtQzC\n",
"2VG5JizJSFunrKkE179Id7zdEvSSVhff7w/SqzfICWZtOsM1OBGYtYXG1U/ZVuUbaPTLaeqvOKmm\n",
"qN6t/u8i5YHA2z0eYjMk7m0qaBrJxbpipF11JuGXoIvh+GJrC2Qwj/yJD8wbqqtsBBXCFeuLDVKV\n",
"7uT6TqiRCYP3NhGtRYp5t4vMkLAPJkpVHOJ8gE0Kpif6BqkuLanaUV2E2koGTvGk8aAJZvrOPPnd\n",
"33PdEhJUD53MoaXzvU45T0ZvTCaF6a53oDyDH2z4KTV4PfbUgl+ujo+dJxtlsYtqVl8kj2YitJoJ\n",
"otsS9euQIMAAIJ7lpjBXnNSeBeZqIA/ZoPZ6O95/QZ9AaBaSq77RMO2U+GdKSVGV8dBwrbFAKp+b\n",
"rRUg7e4JwYXygS741b1+DJapP51oyF0J7f6SWCt+ycXm0dIxUhAw4c+hXCFm4meJte9m/fGtVCJS\n",
"5vZHDdahFJ3Vsukq//7X98/11BYEOctTt5CZV2FakwX82VOrPYbPUf21M28VFJ+n91pwd9TYmteh\n",
"KX805TFG/YenTCtnBQ4ciognDL/AO+JHymFdfDkc/qsUARw1/pgsfWSVVc6rSSc7O4zX7n97k970\n",
"vy/BiXpuA6K3fB7IdOFruo9baj5UtMelO+8cL+QHN+IsQnibalNdX9/3l2GsjleaSDdAZIS+dCcw\n",
"p7R6r1tjKEIMpbYwVIQ9rhxbarxwtWTbjqlcn8sbU3VQKZuTJQwunaKcVxM4mLriXu3xF4rf6PKN\n",
"OFjzzWFAzCjKFAidbzPl9z7mejjhjPS3pPLAbpKhH+ZTMJHj9gxd3PbzrQCSHDpkxXHwF9HCUM+1\n",
"a2HaVDL4/LtUVlTxFQ0YzHFAP5mQ7b9MfwpsIZ6AlHGGG6ZScJ8lRfJgFDVAcUqdrKU7aI/10xir\n",
"kFz1OOb94AWzMAHq+ACF/1c42xv0AwxgcdahL8YaQrIIsQKSj8MKWU5NVcdruOgIUfHKHW4E/9Tm\n",
"m1miWF42xU+x2hU/BNEVInUHroNc+t1IRZPQVP6Ypxi7PsS057/GGMFPOOF09yWzndpfNCV1y4Xt\n",
"UFUGaiVwdUQpeK9qvTKxaoDtSgz1urAwc8SNLCP39Ca2ykD8B8gm98oI84lHMRLAWfarD6EAU4aM\n",
"nAUX819rxwrP/B3gJtpi4EM0Wzi57z7CZ/WND19QSUmymxhUKhJYXrI56V730CR520r752kChXUm\n",
"vLmzsyRVxnxbPH10mjo85gHWqfRI7633gyo5DOjr/xR/NznWqqvbTDKSsS+X9B056mqq2vp4/ohq\n",
"jtJGs2C4BioaI/qYQAZO4DPz6+30KGJQMKClTVg6iXKGJBk/tMCiHRTqCF7kNgMarH/OnOpyiajv\n",
"Lf59TNoEjOHUxTQplHTuCr5uS5caH3QPIT7iXSsOH3AkxXhYhCC4e+lgmmmkQGZUaBkOtxcQwDC0\n",
"NydXE3tYqtUsT7ZO8qac+GwK3Em1y1gY7BwTzuX+V5t1qSli3ZBvPXl6Y9ls2eNNnNX03kksn0K7\n",
"7xND2b7KlQHDortd7kZyCc4T/QUgdaNirqqTA2oaOl6yEAa6SB8vV6bGeoukbsiwtX9C4bGA9nCW\n",
"Cbz9fvx82f26ov7sPW0+9OiuvYQaG6SWja1yAQg+vWxBBrh/FOZ46U/tp1KYvLEovTAAJWEAAAFX\n",
"QZoibEEv/rUqgAA7roduAWpqmcQ2JIhWTGaDqxOZQ3EAPenE1z3f+x2Wo0kmTwD+3ddLStnNBXFX\n",
"o28lT1tQc2XqqE+Z5o/vlRYxaqXuyyIbvsksBPWG3ubK4N7OOo6bz67FiIL586GHUP7mppeu1TGt\n",
"WnRBkcRasoxqJZrwdInXPvj8J2ukWtDjeAKaaVhLg0nx2YYqO5xRHiDcCBcyJtxTGdnXT1xIzvfu\n",
"TI2xEdOeH6dn1xJpUS+2kxMl06wNOGpstBaUDavObt7jIh9xYhOt8vNueet6MtiWa9EKO7vVmnus\n",
"5CuW+Zi/lnBHn/PTswC4q/cZspLnw74e7K6XiWfLew+04E9FnJyO2NVnaCWTzE2QE7E5ET93oX3B\n",
"uid7qXXaqb5eym8mwBDj78qhw3Z+leBmaqwMkybbJy8lDNWKToSZOKNOjwTmYRYgDebbz4Bm8AAH\n",
"TAAAAEYBnkF5D/8AAAMAWsngDF3iiSiuRw6mVABDhi7yG/gm3ZwjIsq3QTM1IAKpl//383FHbUad\n",
"aF4OGQqEnXmdzI97BmsAAMyBAAAAoUGaQzwhkymEE//+tSqAAAALeKe/PM3oACxJ9UvOHeO345Cg\n",
"1OhLQWXHRNIdXhvReOQogmWA0HMtg971U06UqwGVJ2cRMs74Y9/Epw5mkvYt7j4WlUsXPT4gGxcT\n",
"3p0Si9Ysa+x5nSiQ2wPW0Be35rql3CkpzprgO1GedZHT1xu57Qi/OAO7ZQbV0n8lRrEb/gNqP6AI\n",
"bCXMiIrZwOXIAAM+AAAAr0GaZUnhDyZTBTwT//61KoAAAB9b0X/jCT0Ate86ZfNrNRF9T9QuP6xg\n",
"TdsP8VtdFqClEj0bHtYlCG1v/RJhDjF73lr3HxFsYpRCJ0vstbq6RpdZCJg3CL2wSDAzo57wRd+9\n",
"5L1eKHwyjsZ5MKyaaZvjae2qna6A3AGKe5SEmU5hWRs+XW9rdsrpDaK+Us5z5d3LISXeleRNnc/3\n",
"N6qDsCb+gkVcmd5tuIcamkAAYEEAAAAaAZ6EakP/AAADAFhr7EgmjH3XxwPbtwAAMKEAAAEbQZqH\n",
"SeEPJlMFPBP//rUqgAAA7+4/8IgBEJc47E0EesgxGr2YwzLCwldoNinHyoY1zb0HI7kRd3O7eyF/\n",
"IN7Weyo8CNVCNR/IvRcFsPJFPwWdCGvWFzUBAjLdVi9M+mvtFXjSL7KU+gMET3AZnSQOIbvch6z5\n",
"AVeb9pu8mF1MUozMX+MuEcu62YyHE7Vu7BQLHCF387M9fL70ehfH3oMGlJ5+ZlBThw72EilnCmlO\n",
"XvQmzxWh08P8FAqTHNNhJCMwG1f2ZhaHnug73ZIgZDsmEFdiUjMGI49gZk4bPO8KM1sRvipJoIBq\n",
"7XLNvVdxnZiAGc52DRO/dKGtv2BcT7kRc2UHnO0T/kAUlNYSjqj9mUAQgPylt36R4AAHTQAAACYB\n",
"nqZqQ/8AAAMCoI+7OxfrdDABqU9wGRj0Y2VxhczEeNqYAADQgQAAAQdBmqtJ4Q8mUwIJ//61KoAA\n",
"ByL9HNL1n8gD24ELZrhIvCKX0VnOHtSRpw4qQ5VCp/luW3uR2TP8vchdHmajljSkA7myH8goUB+d\n",
"13RndhCy9fuekd6vfzzEhNY8cMMjzEtFJj8T/NxOsEx3rx4gXzhvsUw5cFgW78PSygenys7ZdZFd\n",
"6SMmuyTeuoDWu2knZpijf1BasdpsLJ8uzxGgaaa+68SIzVQUy+vs8kqWhzP8aKQv20kb0jBJd1Kf\n",
"zZ/rViwweWquROQ46qhrgF8CFEnvW5ETcvmPfLmFfssA8YyaQGL23e2cUQ6/TA9UiVYDJ7azCEM2\n",
"+GICjUqaKpmnug4iqV2ZwAADegAAACpBnslFETwQ/wAAGvrAGtcJPVnt/zSPMoAE4c04VxahoDAT\n",
"BZShXwAAFFAAAAAcAZ7odEP/AAAHE/QCqOfOIZz2SfpgqjU+gAAG9QAAABoBnupqQ/8AABPkfgE6\n",
"2inj14wfMHRAAAC7gAAAAQRBmu9JqEFomUwIJf/+tSqAADZa4iNPAlZLbM3H9+5I8bKTUcXV3a//\n",
"/DoKXUjsQIQiMIrlojKBQINHR85UU3Cm5SdyermFkrEgzDbvPlpE8NGdytaXHsBAowOqeOaCuYGU\n",
"OL3HPJ6vtraLD11X14AqUqzI2z+FO0/HI8Tz/QKlwc734VeWO2kIndXbWbcqU15051n1J1SWL6kg\n",
"iw0v1cNpSXa4afQs6VvkApLw0iEYkvDnZZtPHXfTR0w+YnGbLu9uouXLtoGOO/BOJP27CqAF2Bza\n",
"1mKyPaVISDXFiiScwddZLVr/gKAtX/Fo78iUhb2KImo1qvTItHGcqZtT3eqUf/TuegAAADNBnw1F\n",
"ESwQ/wAAGvrAdBgg9gS3As/5IxNhqilOHUzn1hR47DgRLNfhpSD7vV36AAADAwMAAAAcAZ8sdEP/\n",
"AAA1//gD4zYLpEVHOhSOAH4gAAAooQAAAB8Bny5qQ/8AADYBTwEjYXwAEHkPV+idgJMz+AAAAwMX\n",
"AAAAt0GbMUmoQWyZTBRMEv/+tSqAADZZ21YsJWAWac5+o9aJ20+g19rKEouUSf4NadD2kXY/7QT1\n",
"mKH4ieB4J1uVnqFAua9eoWn6Ocj2LGS4UnFLcspGCyObxi90MHn5/Fjxg7yoITqIBzrfrTizPwOD\n",
"xontCNaWPKYu8XMyoxAAoThTDotgqokuK8r7I0EeYt10zwWyd8WZtZPnkOulnUY+YwXywu4TvibI\n",
"FvP7O7E4nMXkzvo6qAAA/wAAABwBn1BqQ/8AAJavg743wcT9rGPam9v7q4AAACHgAAAAe0GbU0nh\n",
"ClJlMFLBL/61KoAEJ+9ygHippL3C9c9Ek9nTFIcQLdP1Vs45C4uf39kHqWhLOJPby9HDT1S2kBtf\n",
"8p5PT8iOIRKl2E5CZfTFipd+cW5J3NVyXAVu6qQSfkJMcWw1F6IwHtcNagAABR57/7gef+an4rax\n",
"yIbp4wAAABkBn3JqQ/8AAZu902g6dO6xWsb7AAADAErAAAAARkGbdEnhDomUwIJf/rUqgACUzgH2\n",
"cM3k5QAcfeGuKV8FLtMbwTtn6niw+RycnDfqDMqfjMrbpVOcx7GdBisWMtd8wgAAQcAAAABjQZuV\n",
"SeEPJlMCCf/+tSqABGfv1AAy+M4x50XacTfuee+4R79W8/3Y7ZijLXHPh7Ze7uB3Sa+eTiMX7UMH\n",
"9MQ8Gob7MqX9Fq9qvBrsWvrFAGP+WyaHCL2Crix8YSg23oAAAA3pAAAAlEGbt0nhDyZTBRE8E//+\n",
"tSqAAZSbhqFAv9nkwL0oACWt52JNDagq7t9VXgmhsqsWW+44CYkGwRCVhpSs4b/+riAOrjNZ0Nab\n",
"w5NxaoDo/YBifGgbbbiXifPsmCVqs8dJcIylitc3y/HY73TGcaBtyWhywqSMd1VmXX5UJoKd2R9g\n",
"MWb/p5zwCF6R9iQQSEkfYgAAXcAAAAAYAZ/WakP/AARVfB2cKAo81AttkAAAAwErAAAAn0Gb2Unh\n",
"DyZTBTwT//61KoAEQcfiIA6LioYTKl4RDocK8KqV3hCIMK1cz63/oPSh+xu7ZuZAXvci/T0SupNC\n",
"TrblvrUAnLImjLkbXnWwKpyu0bIwRzT9IlEKE0nQB+i4EK8CUD5mnmkqPstMu2XvFfcokiXqh0X4\n",
"UZqINH9ANrFXEAat0StdebtVN7QSBvCUgXQXp5qqdAdDrgAAAwAEPQAAAB0Bn/hqQ/8AC++PAHxt\n",
"0CQe21jYX7wK7iTgAAASMAAAAS5Bm/1J4Q8mUwIJ//61KoAEQQ8XfNhOdDR1+oA3byf/Bbl8gT/W\n",
"FTzKw8IqKzDAgsHUpsgj9rkz+4ZhYZSKRsnx1G+ABmmRBJGqaNgxKPRbKusPMjFY5fL3N93c0lh6\n",
"B02OSLiftZoWAfbsp0IHiXmdOEQMstB5N+BvLC0jx5+c77sdiN1u6v+k2kzGCYqjt6wtpUo1YkWZ\n",
"k/twXDtPgNUBQ48p5rYEF2C9XY01vkvf8gdPjgfRkFSAutalrse/DK24BJlJjZsd/hgSK3YXED6w\n",
"Ig1ZAaiNHoA7hQTSFECmOeH+z633iTyYJ4atH3frOoqVx+FuP87JKllB12PDNuzBmZaYdhHhkgaC\n",
"oU3/2XRfC59iIPqs5wAOfatnhiuqKxar19DT3jsQtAAAAwAC2wAAAFNBnhtFETwQ/wAFXzBP22ey\n",
"nAA1NP7C6qK///+e5bJ7GuGxv6XDP3azRZgRn8bsv1i/xwAtlfyT3GxB3i0IOzDYG/mt3bTziO57\n",
"T9aMc3VQAAAEHAAAADkBnjp0Q/8AC+roYMuoAIcT5T7Xj97tXOnRYziN1uyhFR+qyE4TFRr8Z6tx\n",
"kFwHozf9L1AAAAMAGpEAAAAsAZ48akP/AAvuZXogQ2gOgA8qpHAtxIq8zQ4+DrhPxuENesWwGxFA\n",
"AAADAd0AAAB3QZo/SahBaJlMFPBP//61KoAEIapx10ARiy2NbrHwHlDPE5VA3owwRK6TqSHikDJb\n",
"eGthWxEHHd48CktsoWAJ4eYNrWc+34+wzH+FBt7UAuqli3E+e8aXvoHS6fFjaVFxcehptJFwBJkj\n",
"fzkKn09pPCwAAAMAAVsAAAATAZ5eakP/AAueJVq+AAADAAAK2AAAAMdBmkNJ4QpSZTAgl//+tSqA\n",
"BCQS+vVAFAcckBr1sXDPFAdZ+EkZeC2rU2sYVugI+gi9NXEANa28Zf3mkRXWRDm9TuCIef1xQKUX\n",
"V+Sin7LnnzjdhpGDpbe9yYnPfCk1u0KGWK/T/VbB5zV7CnfRUCZ11VI2H3zm+JyoThkD+sxQLRrt\n",
"h8ymVzih/Rg5XNnUQdyeN8NkM6bPU/sWOQp7ijUou4ebkegw+3kqvKHAKXu+Nnj0lDQdEI9xduwo\n",
"Tkoi3IPAAAADADUhAAAAHEGeYUU0TBD/AAU/5x9JdaYLTEak1+EAAAMAekAAAAAUAZ6AdEP/AAug\n",
"tt57jMQAAAMABQUAAAApAZ6CakP/AAtNQcRGhrQAQ5N9dN97IymhLKeg32pOiGs42qAAAAMAN6AA\n",
"AAChQZqFSahBaJlMFPBL//61KoAEBBKJufwQL4BKM5IUeFvi0OmeAfNaK05RFSpoe88G4ffWLeZg\n",
"DYqlIv+3EgTtZ13kE6ve17s0EXfgwiLZcPIuZkDG0r/6spt1zIrP1WsKLdGGjZf3fSx/rp63jG7X\n",
"5+RfBfzUF3bOGMSxjNdM9MGDSqkidBh9xBmjUacbgsJz/XAwUxV1kgTU3DAAAAMAKqEAAAAuAZ6k\n",
"akP/AAtZOBuDKUOugA8sGbn98Dt5feis2/r/vGfKoz7vs7WU3QAAAwAKmQAAAF9BmqZJ4QpSZTAg\n",
"l//+tSqAA+h/gDugCrAVBnUy6NGx82p+9fvao7TRTbni6ABBmiRDI4yLBVIoIHa34qbGcFTI5lL4\n",
"xrcsW7alcZ2IzNXFT6vJganVfr27T5u+EAACXwAAAOhBmshJ4Q6JlMFNEwS//rUqgAF4sUFcddoK\n",
"lz8TQVOIYActViRj94rTE0TSjgy9IdMZjAm3kR17iKnSsgz4kGqPQ/Ca8ayfp/OsgPzwaISbiD8G\n",
"4oCo69puWWkMEATO1kVPa7yK9dTb+ZwbXXZW1P0HvfHh0ecXGfzKJ6/yM8xIrrl7mYhUQW00MHGh\n",
"DB5zFt7bm52B6lXrOvkjPr8nT8UkWnueBxbcORlMTFEp1TbhX0RZofaaBDiaTun6zPO7qzv8fve2\n",
"SSS0MvVftlD9CUI10K9efhrUWnqovZdp6oeHwBkqOZSAAAoZAAAAGAGe52pD/wAD4I5Z2JRO4fZw\n",
"7ZAAAAMBKwAAAFJBmulJ4Q8mUwIJf/61KoABbeJDtGnZEAvrC1mzlsks88/uXko7yDAi+5dlRWbT\n",
"XVU4ILaO9cZ/v7mxsdjW3TfV+kFn4r27hRQcPI4/aJQAAGVAAAAAJ0GbCknhDyZTAgl//rUqgAFl\n",
"HmkYiK+fu+B8N/6so2FziAAAAwAg4QAAAORBmyxJ4Q8mUwURPBL//rUqgAB8ym6hHcSksJTLd3gC\n",
"17w1x+FFUZzUkEV+qUpidwfkxdOn7Npucka/kPVw5W5+NzXXhtNmuiraWU5Qzaf7YPoVXRyrMRBA\n",
"yCDnXLHBfJ4Qu4TnI1KuOyLH9Ko086Y0+zP2ftZD/yXd6wlvkMZfeJwMopY0EJt/K3h1au1QT/CB\n",
"EvPk7xa4PFYybltKHTHjhrUqro8rLPuNUUpYdKdNq02hGuJXo9TIw/oCU6zd7HXnhZMILiuTYaZQ\n",
"0b4X04wNGSdf3oqFy9rFcmRPUu3NlAAAZUAAAAAbAZ9LakP/AAFiQj0DfnEYWaTwVo9aAAADAETA\n",
"AAAArkGbT0nhDyZTAgl//rUqgAB84A6gCg7w1x9xkW/sn1M1oRVeo2YRzFh7f2V4fWZn9JcDKb96\n",
"eud0IDDt4P7lw/hKNSveUTDz9hOvmGNuPvzJVGzYTI8G2riWA9Vbt6/LxwYTK+nWsUk3ud+TlGfi\n",
"WF/DJ+/YVkRonSYDCx5FdQ7GnAj9RGb3AB376QwWNbTU+quYJWQSBcRL3NcO1I8Fhq1Szt0jCvQw\n",
"O9uAAAARsQAAAB5Bn21FETwQ/wAAnvzpm64Wl0bzbmXY8jjngAAAGtEAAAAXAZ+OakP/AAB8MINY\n",
"y27BeEYAAAMAOCEAAACUQZuQSahBaJlMCCX//rUqgAB838RAGtzRelLVMjD19ubBevn5Is+AJwFm\n",
"pYKolM9fnglbwJOewNMfnJiQZ8NqLCUm97BmvuHuUVMxBoiayV//2NOWOL+y4Xqs7KXQ2QcbkIg8\n",
"SSRtj/pTjPDdvXSKqDkgvaD4BvyZFGvqpI1Zdfl/fBfuXkhJpAR6whRcNPAAAAMCpgAAAIlBm7FJ\n",
"4QpSZTAgl//+tSqAACyk6UADREtudzYcs8D3Yfvh6IIzPyESAI73QS6xhhJmpo1vbwHDQXbpkkT/\n",
"3rR3omlrkgw2CikgXhaPse5T0T9pk9nf/UFvyGOdTTwStb/J1/4iiC8e4nYB9sUtK+X8kzBFJmrx\n",
"ruaFhQ3CHJ7NXlWV/gAAAwCHgAAAAJtBm9NJ4Q6JlMFNEwS//rUqgAAsnhegAJjlOMYyR7teGNV3\n",
"gY7E4Y7rhQH/uJlW75+Zv7wqzx62z50v9B5A/gZbWU+Z+QCWxucUiB+BQJRz4UxwMznENpnpE3oW\n",
"X++OxAxkLjpr2f1tfi6wYBT3vJQSyo+yArCdYJ/e0QxJ0XJXMpWhlh0/HHnQkCUBHq7PrUg+Loxv\n",
"GjfcBuKA5QAAACEBn/JqQ/8AAHWWTBc+6+zbOw+VocAJTiaZfnIAAAMAkYAAAACJQZv0SeEPJlMC\n",
"CX/+tSqAACyk6UACYrD86kgIIjrO0gcrkepZOVdBXZIWK5ltXYNyJuMiJSyXiJuI/mN9VjX+hDSW\n",
"rD7XFLSHfN0sdv3NjcmikROrldSCygXSaCnsv8S5KxHzdSjB9yTmNyAQC5BHkXPMkNPRTnhNl9E/\n",
"im4ABo9UGZCetFne8WcAAAA+QZoVSeEPJlMCCX/+tSqAACyk6UACY5R8nzjVWzfcytGYB2isJ2Nj\n",
"NMBdo2TvMcJmTuK/LBecYkhK/yV8yFEAAABHQZo2SeEPJlMCCX/+tSqAACyk6UACYrD1NsL0OxtS\n",
"+S5WNBvbmEDggJ9a0n7jXU4+MR/ODer/FoFQuUjfx0PPXT4AAAMAwIAAAAAmQZpXSeEPJlMCCX/+\n",
"tSqAACyk6UACY5RyfXtAdmrMgvZafAAAmYEAAACkQZp5SeEPJlMFETwS//61KoAALKTpQAJisPJ9\n",
"fEUl5i0jSgNk9TDWmFghi6Q1jySFzaPfaxWoStzG4vDq8flZ5IIoy5QSlA/QUWqCE2mvUr0U2B6/\n",
"XFepAKhOVLyMffHus1v/Hx5KkYNoNHOXei5sZ2CmNWI+PG71LlgXHfZ5JlVb/8H2i+Licxy48zpb\n",
"AVD/oiN/jHUoYwen5cx+uR14S5NEw0EAAAAfAZ6YakP/AAB1lkw7fAvg1lFF20y0XsLkZxAAJKi6\n",
"twAAAKtBmptJ4Q8mUwU8Ev/+tSqAACyk6UACY5Rxhp663OSDQgE6yG9FhNDNQXveDwka2LD3LkPl\n",
"6ED4tVcpaDQQkycUIZ1PyE0HMNIduC2Y0k1UdUo0TnRFIZyKj1IYofw0R9r/nNadMoT8Z85VBf65\n",
"BaF5WnuZsX97YmjpRoDDfl2XPn6xs1bLrlRn0LG/2Az/YdWePJj9QaFeVKnyhr/6LohU7M/fmPnP\n",
"raAAHzEAAAAkAZ66akP/AAB1lkw7fAveEglCIXJr/HJQEAHfEWG8/BYAAGhAAAAAqkGavUnhDyZT\n",
"BTwS//61KoAALKTpQAJisPGGncbWJM9mXk5IMQwYH+dqU5Je2UL5NzQMwCkm5VMMm4iqjwnkMuVj\n",
"10/SGwlgNFmG2J8G3HOJKQNjzaA0sw59d24604p6Nd7Uaukck62mHzdl0bXqb0vw2q8f2GfrAO1u\n",
"w1U4BboJ1SKcyq6VdOBLeISzTTIP3tRgRSjZWeebvqLuZjEySd/hEDaDa9Pybv5xAAAAJwGe3GpD\n",
"/wAAdZZMO3wL3QrKOB3tGRqcAIPmhs72MbApTnyOQACggQAAAEFBmt9J4Q8mUwU8Ev/+tSqAACyk\n",
"6UACY5Rxhp3FtB9LHV35Z/a6yBgPSkOHYVKSEauOjh5dRieK4P0ormxbS0bfOAAAAB8Bnv5qQ/8A\n",
"AHWWTDt8C90G3PnZPUDa9BIAEYF8ACDgAAAAOEGa4EnhDyZTAgl//rUqgAAspOlAAmKw8YadxpRk\n",
"aMwD3I3FVUmlKdopODfPnETa63zuabdMABrRAAAALEGbAUnhDyZTAgl//rUqgAAspOlAAmOUcYad\n",
"xbPkat5CTPRqn6mTaJkVAAbUAAAAN0GbIknhDyZTAgn//rUqgAAspUfAAN/NKWWu5R9jjCvdQaeb\n",
"78qMBVHkvnhDAwTnbtqYkJhABM0AAAA0QZtESeEPJlMFETwS//61KoAALKTpQAJjlHGGncWz3vu5\n",
"eY4Lf8o1kX7iFy8cLN6sCAgBqwAAAB4Bn2NqQ/8AAHWWTDt8C90Gvnd0dG+URZuK/DTgF3EAAAB4\n",
"QZtmSeEPJlMFPBL//rUqgAAspOlAAmKw8YadxpRdDTB46NKifk1xgX1LdtrMV5kr0a7eX5wzraLV\n",
"uq5aKabNvtoUd8xTo5W+4N9dq9UlCeQh10DFTxXZofi0BeGl+yXxzKM0Ebcri18qJ6TUJEMKGWYq\n",
"HI249ALLAAAALAGfhWpD/wAAdZZMO3wL3Qa+d2c/gIbFFygHNouTQAAK6+hwsrxuPWl7VA6ZAAAA\n",
"akGbiEnhDyZTBTwS//61KoAALKTpQAJjlHGGncWz3F9dg5Ww4qRHngaFjGNBub+zsHE114mb4ozu\n",
"q16TzTkQLWLtCe6PpRoihVNQ2kNvqPmGQOgQQM5lh+dloaygP7HgoYIPvNFHzIuIBeUAAAAgAZ+n\n",
"akP/AAB1lkw7fAvdBr53ZxVLqFx2bnj+4H/wPWAAAACeQZuqSeEPJlMFPBL//rUqgAAspOlAAmKw\n",
"8YadxpRcDDrQ/tRTP6Q4i8jBnkxeitUtglQ7jsvEFkNrJ6bUnf21oYzTXEuenzi89oLjW0kRbptV\n",
"ea/cRtbsDWkLVHiys453ormLJrtvTUvwYzUri9EkJ/q+2kaPq8/ImLiLYxFypLdZY4f2v2rBea7J\n",
"fjEm7HJt5XA3Khj4VvRQbyZV1IAAAAAgAZ/JakP/AAB1lkw7fAvdBr53YFP43KXwrNxwWcRUH+EA\n",
"AAApQZvMSeEPJlMFPBL//rUqgAAspOlAAmOUcYadxbPcBDRqFJekCGG74VMAAAAdAZ/rakP/AAB1\n",
"lkw7fAvdBr53YBz78LKmCY9cu4AAAACTQZvuSeEPJlMFPBL//rUqgAAspOlAAmKw8YadxpRcBBWF\n",
"Mp1l9nu9O7Z3CjuPuuVJ55qRz7xQ8ss6Q9vfMpJLnZbRXUgi3qWOuBLwbRFPVrxgoHybPmfeSCc9\n",
"FiRf+9RWGBBedvvlBX5LoiUVS63Pj9RNIEt2ePKNYy2gSs9qFpPszCXTvhr0K65AH/SzSwv3yMyB\n",
"AAAAHwGeDWpD/wAAdZZMO3wL3Qa+d2AKfxuUtL72zw8URgUAAABCQZoPSeEPJlMCCX/+tSqAACyk\n",
"6UACY5Rxhp3Fs9wBfViRHBRZB2KoQ12EZ2WfdHcMBEeTJ41m6g7GDBGB7OsSryLhAAAAcUGaMEnh\n",
"DyZTAgl//rUqgAAspOlAAmKw8YadxpRcAX12PnDigiOqpGkIgwnJB5rZUuUp2zp2nHjJk6PRbIbP\n",
"Re+dTJghfmmv8TkHYcK3/VppOJBBxz3rTvmFd32RD/eN5gi4ZbmVpfEEoy7AdOMV+3vzAAAAakGa\n",
"UUnhDyZTAgl//rUqgAAspOlAAmOUcYadxbPcAX12MzJPRdA2S9h4ZkFVzWEoYMy1NhlYzOWUMUZ6\n",
"GNXMAAtPtH6e5jBotfzeGtCPCETA3powY1p7tchQeZGXUU7Xlrmq0e32vJX0f0wAAAA+QZpySeEP\n",
"JlMCCX/+tSqAACyk6UACYrDxhp3GlFwBfXY+cfW1PhI0y3Vf0CbQSB4/KM/YqIgiGhkB6OyTrT0A\n",
"AABzQZqTSeEPJlMCCf/+tSqAACylR8AA4BJpZa7k7CMARAvyZG5JKfOtzPgseRC8Kcc2kjJxVslN\n",
"Ljupds/FtE7FtqqTM9XGbpmHAqCsErjDJkAJILgZCs1u0zdU/2fTw/PLbJTPnBtSbDDQhc5Z83a1\n",
"nd6uUAAAAHZBmrVJ4Q8mUwURPBP//rUqgAAspUfAAN/NKWWu5R9jAEQL88oeBqksiIf07WjE+1Dp\n",
"R9dMxE4TZXscu+ft9gzEhcoTiKubRHYV2y9CyfJBhouXAwWBLaQm7LxsReawmwt36gckUCTLkWAC\n",
"+1NGwapLuUDVAungAAAAJwGe1GpD/wAAdZZMO3wL3Qa+d2ABR0aNuoanW4cAJTBD6uUsoSrKOQAA\n",
"AHRBmtZJ4Q8mUwIJ//61KoAALKVHwADgEmllruTsIwBEC/JkaBaV8AzDF3grdYnOu7TDRCtaHqf7\n",
"vmH6MYEc/OR2BW81TyVXI7/hMaK6WG6CZW1p+dTtltWW3ERBYSJzSJ62ZMu+yT+5vHnFQ2UoBEim\n",
"0qnNWAAAASJBmvpJ4Q8mUwIJ//61KoAALKVHwADfzSllruUfYwBEC/PKHdd472jsYKSQAPwAFx50\n",
"iiJWodxRXP0L4yu0GpjAVDhrP0LBfiV5NX+/ZDLzc6Rd/8V+/g0UL4KcSfRZ5OhkMId7M2wkN91i\n",
"Z4wvix1u/GQAaMrbIb+qeg1fZSDdr7+qgfavovvC50VkI0uYE8AjrF12synLowj/E3Vfl1BqCB9u\n",
"QqLMCCYzF03Jf9AKmxrUW4+FfpX8jGUA5dw5L/QlFPqkd0S+FRJpX8YuHkn7iI+ev8SxXRDgm0Ar\n",
"hRHInZsMACO9zb7Tryx7klxI6TM+sfqunkh3zYjiA3tNjApFW6e5uxyxWz1maQ8M4FbhtN69PGjP\n",
"WXzghhNMOJ/aOUukoQAAAFpBnxhFETwQ/wAANYDdlhmQRKbHPFlAPlQCa0WuzfcaAPQAF2bwHmXp\n",
"w5Sdi+6Ph2ZZoyT/E2O+MBJb43ntRVV0FaJFm7sEQD68iejLBXmyqcpnLEMDwssedoEAAAA2AZ83\n",
"dEP/AAB2q+OAAAA+D//JKVQrA6v9AQATRS+yYxmSUdjXRNUcHI/ugGFN919icwD6lSaAAAAAHgGf\n",
"OWpD/wAAdrsfVgAAPh1rNsnK7w4wbPajL0kNgQAAAMhBmz1JqEFomUwIJ//+tSqAACylR8AA4BJp\n",
"Za7k7CMARBe2n7LQavt2d28yomHqjqtOxeJIoH4wDHKf0/oAJuukNKzdQOdQros76iNf76EP6zSO\n",
"ySw5Lk0SudsyerWqomSzZp+erqRMjaH273PwlPFABf/s/oflSAj5kT4YNShHIKFPt+mXjoshA+Ij\n",
"6kQxcdG3Kw+KXkjN2Z9A/+Ne0uJ7ktyoeMYYOkcwbNFBeft93lZpfMyHjhM/94/Zztfb5niF0cch\n",
"BlDotAAAADhBn1tFESwQ/wAANfqmphlS7cR7ylxdKAG7zHBaFqcgAEQewY4cczPj2XkniPsbb1yI\n",
"xiOFHVtUjwAAAB0Bn3xqQ/8AAHa7H1YAAD4dbBjqbYR5oPvthZMbQQAAAIVBm2FJqEFsmUwIJ//+\n",
"tSqAACylR8AA380pZa7lH2MARAv6ku4RzlfyWZzjCorh0demRkvVzQwwBmDAd3f8MLSpjV0f76Yh\n",
"3D+soXEcqC0IQk6dUnK8O8TGzU4st+UZfSFe/FvVx+aTnUt+Iiyl7lm+Kv9z9UHeBnvzmRkFi/Vy\n",
"ULNFIHDfAAAAIkGfn0UVLBD/AAA1+qamGVLtxHvKXF0oAbvMb8B2VhcZsaAAAAAYAZ++dEP/AAB2\n",
"q+OAAAA+EALP0wbuixtBAAAAGAGfoGpD/wAAdrsfVgAAPh1sF5nux5DVwAAAAJFBm6NJqEFsmUwU\n",
"TBP//rUqgAAAPm/iNAF5TrPAAEWDgUFfevn8kHanuJc2NmXmVM+4dRXz9meLgxa7FTKMhb83AnNn\n",
"zmVelYQYYMRiSiZS/3Guxu2hzFpwkKbA3cnQh52sMPisq+jPyj+Rz5y9ob8UOXZjxLqQrUephX9x\n",
"d/hHB37Z/gEVVbIS8TPxMWg4fENxAAAAMgGfwmpD/wAAdsL8VYFzfOfHTEUKoAbvvhOGxc/AvVMy\n",
"/v1dwEAGf187IicZ/aCQwCVgAAAA40GbxUnhClJlMFLBP/61KoAAAD5v4jQBedQzwAC/7u/wZqpB\n",
"bio+sUVNSDcgJ298bDnQV6KfQLPAfM/EaCscfgZohMlN9hptwt4l5h0L8mmsdY7us1h+y173d1RX\n",
"dV5MV7JYV1UQl782ZchHLNkWKYoHFDjhKWgF9n7WFaHc3xM9LqLg10uragiW+HWe+L/N/Kb6h6zn\n",
"c9Mm2tMznpa4r/Qt0DfibUNxXDzTJG04SDuvO10oWyWS7epRoFTb3zcr79jUbR+DpfhemObdrdyc\n",
"tj4aGi0VNp0R3y/CSHD9CshJ66ahAAAAPAGf5GpD/wAAdZZMO3wL3Qa+d2ABO0pMhMcmhhPQZN3/\n",
"EYAIcT41Rf3NjSTv7n8fb5QJm4wGN6iTFvPrmQAAATFBm+lJ4Q6JlMCCf/61KoAAAAMAAAThwQJ+\n",
"lwSGYb+Kp1rAHHqYzumgPNh2enL/dnrrtarR1fHowr4pj3b1Wjd8efD1pcxyNdj7mbKyjdytobdc\n",
"OQuiWanTWyq/hhfLM92JcTL/YoMu0iWt1OrhtS9dSHNGpJSNlbw82ql3c22MVf3/xKR37ApEi7iF\n",
"ZdFquhYaOX8ehabS7BDOWYK0afWWV+wdRjg27OvexESxEKJ5r9w+szw1uJDC4pSHjJFK526ZGmOa\n",
"kn2uWsK4sny2FpP9HH9MUD9yVy+IxSwshZj/mKr6m8Au2fjSeql085jujaTuPtkWPnafr6o4jpms\n",
"M/U/+LXCx/n8Ms9GBEqmorcXLq3T88VP4kp/efxl/hx6p1aT19BA6Uap9aef+6KbNsolPwAAAChB\n",
"ngdFFTwQ/wAANYDdlhmQRKbHPFlAPlQCZPpw5wKYNxVPwgU9G7F7AAAAIwGeJnRD/wAAdqvjgAAA\n",
"PhADpVW4eTgYAVUgMXKnHaI5iLBAAAAAGQGeKGpD/wAAdrsfVgAAPh1swCWMj0tyrVAAAADsQZot\n",
"SahBaJlMCCf//rUqgAAAAwAADUakTm3RVK+82P+w8DADZE7wPh38jvzfp9+zNVnnSr5gXiA2/Ckr\n",
"NQWedLSRv/TVQ94F7XvlW42LJSluBJ3CMVAFV+gbsxB14Q//yZkuZs2zvln0UgWWZKzxtl/1NuF0\n",
"UV5PVR5YJENqLZrKpVhD4NwFmcuMAVxoNuetvNF8FYdMSCch83cZqh7XqtnGvgtN+NQacEY7XHz5\n",
"UMmj486ZNO4HbIa3IQYITxoRhXdtvHtllmOB9z9cqTzg5MuDA1odee+9woTzShaRajViQ/PeH+nZ\n",
"7zYg92UAAAAqQZ5LRREsEP8AADX6pqYZUu3Ee8pcXSgEQCEvSy+KmmSLWa95V5gY+PEgAAAAHAGe\n",
"anRD/wAAdqvjgAAAPhAQL1cNaSWRSzZIblwAAAAhAZ5sakP/AAB2ux9WAACavVi54WDTSQFABnbj\n",
"0JXvMNPXAAAAbEGab0moQWyZTBRME//+tSqAAAADAAAkDggT9GTlfY94qnWvX3h2oHJYsC+IV4wj\n",
"7nAdNV3vsBK5ZxjvyxsUi7d/E6TPtxuiia4AgHcgXPWykA12+QS9oTIbDiKthXrkfPMbwRyboV/X\n",
"cEX2LQAAACcBno5qQ/8AAHbC/FWBc3znx0xFCqARDD5+x2SV9Q4/1uFciy+PBsEAAAB7QZqRSeEK\n",
"UmUwUsE//rUqgAAAAwAAJAgjkuW1ARdLNcdYAJVi6A4dkLlExxV8YDMHsDYzgjb5eQU2gdTvvxtW\n",
"OLyvR51OYrQ36n/HR63yn4S378FLwQ4c8mcIiVs3TEI2VbtMIyNLa2n0a4jPDmEProJWDcuh0DtF\n",
"w1kYAAAAHwGesGpD/wAAdZZMO3wL3Qa+d2AIK6bwKUAkPmSldFgAAADbQZq1SeEOiZTAgl/+tSqA\n",
"AAADAAEQNfJMS1P8XWcsu0DIAXKt3GQ+6cPLUjL/ZhOKarXUmpsM2fyKp4NtBNI0lUL0QZgIOnwq\n",
"29y1aYDyR3RrVbNTo0bXkzq3MHZ4RK/XmOp+4z+bd7QBgNK7cQ0+ad5V7IoBNQR2K6/FaQXnfXtU\n",
"siBxNXCGxFYRnaTtFAB9DrVIc6xg6JbbVO5fLqAJr4ABhuZYyFuAenQFk6Jm7yB8lFuOXOZaB9HS\n",
"mmsuHHO0W42oP94p7JYk2GAD6tSwvp8apmAM7QqTiB0xAAAAKUGe00UVPBD/AAA1gN2WGZBEpsc8\n",
"WUA+VHl8qnR7k3JAP0yySTVX5CpgAAAAIwGe8nRD/wAAdqvjgAAElDNHGDggAVs0KK0+I3AnLWmk\n",
"2XqgAAAAGQGe9GpD/wAAdrsfVgAMjLA36SDA3VeiFZUAAAAuQZr2SahBaJlMCCf//rUqgAAAAwAD\n",
"A9FbTGkZNGJ6b7i3oAERLJynaTna5KAOOAAAAGJBmxhJ4QpSZTBREsE//rUqgAAAAwAIA1VTtPUy\n",
"AB/ow3j81w0OwrMORvFvtsQ5BHZf1A7/4yQmpA70HUnOb82FvSjGMynzrEskMCMu8zxUo0sCqT8z\n",
"M9URefU47WdFvLARcQAAACMBnzdqQ/8AAHWWTDt8C90Gvndh2ylX7rWWradNKyh4KHiFTQAAAIhB\n",
"mztJ4Q6JlMCCX/61KoAAAAMAFuHxxtDhKwAfDYM+ycNagF3g6FsCeAtR8r9T9pv7PtvYuoKMKxc3\n",
"epssw8Y9k+V3x3NtexNRta8hS9Rg1x29nqkIlqAODaLNGKS8egnxHA2792XLX9zozNHKw0jp10CE\n",
"4MwRso9Muyb8irq6bBm7SciSQCNgAAAAMkGfWUUVPBD/AAA1gN2Pa9zvspeirpCL1nW7C2FG7QWg\n",
"AcFbPRniqJdAKV14J+v/apMXAAAALAGfempD/wAAdrsg/XKv9AYps5ju+YASIf3pCxac09NeU/Po\n",
"qQ1qJLbgXdOXAAAAvEGbf0moQWiZTAh///6plgAAAwAOkbSkAN2RCV454HvF88HApRO5BoWkoO9y\n",
"VuAWeaMMhTTT/rjSF+WoAkNDZcoF//he4bW/Z1c4X31XzKH4FoxR6zO35PTJ20M9vwhcpK4uGzpX\n",
"ZICDsr40KpySR5xD2yzlG/OAuAwmdAPWY684ajPpk2DHvyUQp+8UIO3ZD2C4+OJbBmuVJLNZQ0Ll\n",
"XqDw/ZsFr9N8F6tLQG+I5tbeHGUwP2uDYvHBkAa1AAAARUGfnUURLBD/AAA1+qamEIUuOcjphrXi\n",
"IRsOYyMPvm8ewS3iarlw1f6hSTBhHRFMmkAHo1tULNutBcQ0cOyymisR/YYRcQAAACYBn7x0Q/8A\n",
"AHar44AC5+rgfMOufdQAaMP4OVjxSV++Kg7jmliiwAAAAC0Bn75qQ/8AAHa7H1YWJGp38449vAAg\n",
"+BBJgYQdsWOHzf/AFjwn+od6wvqGBTgAAAi2bW9vdgAAAGxtdmhkAAAAAAAAAAAAAAAAAAAD6AAA\n",
"ZAAAAQAAAQAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAAAA\n",
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAB+B0cmFrAAAAXHRraGQAAAADAAAAAAAAAAAAAAAB\n",
"AAAAAAAAZAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABA\n",
"AAAAAoAAAAHgAAAAAAAkZWR0cwAAABxlbHN0AAAAAAAAAAEAAGQAAAAQAAABAAAAAAdYbWRpYQAA\n",
"ACBtZGhkAAAAAAAAAAAAAAAAAAAoAAAEAABVxAAAAAAALWhkbHIAAAAAAAAAAHZpZGUAAAAAAAAA\n",
"AAAAAABWaWRlb0hhbmRsZXIAAAAHA21pbmYAAAAUdm1oZAAAAAEAAAAAAAAAAAAAACRkaW5mAAAA\n",
"HGRyZWYAAAAAAAAAAQAAAAx1cmwgAAAAAQAABsNzdGJsAAAAs3N0c2QAAAAAAAAAAQAAAKNhdmMx\n",
"AAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAoAB4ABIAAAASAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA\n",
"AAAAAAAAAAAAAAAAAAAAAAAAGP//AAAAMWF2Y0MBZAAW/+EAGGdkABas2UCgPaEAAAMAAQAAAwAK\n",
"DxYtlgEABmjr48siwAAAABx1dWlka2hA8l8kT8W6OaUbzwMj8wAAAAAAAAAYc3R0cwAAAAAAAAAB\n",
"AAAAgAAACAAAAAAUc3RzcwAAAAAAAAABAAAAAQAAA5hjdHRzAAAAAAAAAHEAAAABAAAQAAAAAAEA\n",
"ABgAAAAAAQAACAAAAAABAAAQAAAAAAEAABgAAAAAAQAACAAAAAABAAAYAAAAAAEAAAgAAAAAAQAA\n",
"KAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAoAAAAAAEAABAAAAAAAQAAAAAAAAABAAAI\n",
"AAAAAAEAABgAAAAAAQAACAAAAAABAAAYAAAAAAEAAAgAAAAAAgAAEAAAAAABAAAYAAAAAAEAAAgA\n",
"AAAAAQAAGAAAAAABAAAIAAAAAAEAACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAGAAA\n",
"AAABAAAIAAAAAAEAACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAA\n",
"AAEAABAAAAAAAQAAGAAAAAABAAAIAAAAAAIAABAAAAAAAQAAGAAAAAABAAAIAAAAAAEAACAAAAAA\n",
"AgAACAAAAAACAAAQAAAAAAEAABgAAAAAAQAACAAAAAAEAAAQAAAAAAEAABgAAAAAAQAACAAAAAAB\n",
"AAAYAAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAABgAAAAAAQAACAAAAAADAAAQAAAAAAEA\n",
"ABgAAAAAAQAACAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAABgAAAAAAQAA\n",
"CAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAUAABAAAAAAAQAAGAAAAAABAAAI\n",
"AAAAAAEAABAAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAgAAAAAAIAAAgA\n",
"AAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAGAAA\n",
"AAABAAAIAAAAAAEAACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAKAAAAAABAAAQAAAA\n",
"AAEAAAAAAAAAAQAACAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAACgAAAAA\n",
"AQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAAQAAEAAAAAABAAAYAAAAAAEAAAgAAAAAAQAAIAAAAAAC\n",
"AAAIAAAAAAEAACgAAAAAAQAAEAAAAAABAAAAAAAAAAEAAAgAAAAAHHN0c2MAAAAAAAAAAQAAAAEA\n",
"AACAAAAAAQAAAhRzdHN6AAAAAAAAAAAAAACAAAASvQAAAVsAAABKAAAApQAAALMAAAAeAAABHwAA\n",
"ACoAAAELAAAALgAAACAAAAAeAAABCAAAADcAAAAgAAAAIwAAALsAAAAgAAAAfwAAAB0AAABKAAAA\n",
"ZwAAAJgAAAAcAAAAowAAACEAAAEyAAAAVwAAAD0AAAAwAAAAewAAABcAAADLAAAAIAAAABgAAAAt\n",
"AAAApQAAADIAAABjAAAA7AAAABwAAABWAAAAKwAAAOgAAAAfAAAAsgAAACIAAAAbAAAAmAAAAI0A\n",
"AACfAAAAJQAAAI0AAABCAAAASwAAACoAAACoAAAAIwAAAK8AAAAoAAAArgAAACsAAABFAAAAIwAA\n",
"ADwAAAAwAAAAOwAAADgAAAAiAAAAfAAAADAAAABuAAAAJAAAAKIAAAAkAAAALQAAACEAAACXAAAA\n",
"IwAAAEYAAAB1AAAAbgAAAEIAAAB3AAAAegAAACsAAAB4AAABJgAAAF4AAAA6AAAAIgAAAMwAAAA8\n",
"AAAAIQAAAIkAAAAmAAAAHAAAABwAAACVAAAANgAAAOcAAABAAAABNQAAACwAAAAnAAAAHQAAAPAA\n",
"AAAuAAAAIAAAACUAAABwAAAAKwAAAH8AAAAjAAAA3wAAAC0AAAAnAAAAHQAAADIAAABmAAAAJwAA\n",
"AIwAAAA2AAAAMAAAAMAAAABJAAAAKgAAADEAAAAUc3RjbwAAAAAAAAABAAAALAAAAGJ1ZHRhAAAA\n",
"Wm1ldGEAAAAAAAAAIWhkbHIAAAAAAAAAAG1kaXJhcHBsAAAAAAAAAAAAAAAALWlsc3QAAAAlqXRv\n",
"bwAAAB1kYXRhAAAAAQAAAABMYXZmNTguMjkuMTAw\n",
"\">\n",
" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"xdata, ydata = [], []\n",
"ln, = ax.plot([], [], 'ro')\n",
"\n",
"def init():\n",
" ax.set_xlim(0, 2*np.pi)\n",
" ax.set_ylim(-1, 1)\n",
" return ln,\n",
"\n",
"def update(frame):\n",
" xdata.append(frame)\n",
" ydata.append(np.sin(frame))\n",
" ln.set_data(xdata, ydata)\n",
" return ln,\n",
"\n",
"ani = FuncAnimation(fig, update, frames=np.linspace(0, 2*np.pi, 128),\n",
" init_func=init, blit=True)\n",
"\n",
"video = ani.to_html5_video()\n",
"html = display.HTML(video)\n",
"display.display(html)\n",
"plt.close()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment