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@paiv
Created April 4, 2021 18:39
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "494449a0",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from PIL import Image"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "0d1e5807",
"metadata": {},
"outputs": [],
"source": [
"# https://twitter.com/aemkei/status/1378106731386040322\n",
"def kilim(rule, w=512, scale=1):\n",
" x,y = np.meshgrid(range(w), range(w))\n",
" xs = rule(x, y) * 255\n",
" return Image.fromarray(xs.astype(np.uint8), 'L').resize((w*scale, w*scale), 0)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7e44669c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EUsQ4qXj4s3vJLVQQDM9uDvDf2h8pHZd3fX+WwRF3xLFCX/IHLeAmWjspRyQUfj4ghlzdHyB6Nd/Yn+MK1McGSFmBb75aYBluovlheDktvTUx8d7+sEPhCq7sz7p6yS8rVgwme2RYzJw99T9u7Y8SbTBc0J/j6kW/rlwFWOxUkAFQI7i6P/RQ3Abe0J+oRnRM5uXphttUIOuoHbmAx8An+5MIvbc//LkKEOtDIipEMQRFozsxIm8GYAqUf0t/iN1AF3kPuz98xtEtZRdYIsKXht2wkkVGRYWhDsO/oT/UvvE/WqU8hxgQ7SDS/2OF2e2FcApBhZ8P2NIfJmNPf8hssBsarF0fvWX+J4HNfPHKlntwsj+m0Bv7czSAa6F8MajmY7fM3z1O+objv7c/xA4P8J7+HE0jWJQPHGDRR2/R03Izu6Gu7TNVnGO4lB0OifBZQTmACrid/f7yMt8phgvYT0LcrMCAv+IETp5wP/2a8bnkDvQeEfm8BADo0wpSdVco6NUeRdSYz3f/oTyeAutC6MsyoBWlY5wQ4e+0trlNwtesnd9/kE5xkvpyn9QmfWQCg1X51i2MlRwcxPhobbAL8ikIARZ+u3ZwAjXpblDG8ZwJMGWBj99CgCPmduDUziL7/++r9Lw+ia/rW2NQtKzPKayXjt6kcVxxPn4LA06MXnDoNFYsSDefgDkmry/B1/WtMSha1Ce7kOp+lP4oeb0QY41jGThz4MiAI9kdhYJd6+aBqAcYP6/PqTA/gfz+M5xCf9GH8OE3QAAIHJHsKPQAWKhTX4Ec4+QC7QbK8y8ADJqkycCTYqX/mtSFgxAGvJEuySZnr0GqPp1ea1/AtuqzFMjF0wB8I4QGyyGLdwguLHVKAelQcv5AvqpQ1acrMLvPSzHqsxQsOMqK3pe4pBNovAH+B/JxISxssuArRPHXjEIn0RvAL3CEAWNBYjkHvu3KOuT230ZMYPoG+DvMx1KEXiRvKkG1R9WX99eojxUtjAoAhTyx8MTOphAT0o8OFk2wapbIR4MlKRI4QgjE1/WtMYhaVkwPJB1lki4UPJr/atNxsgIui2ZYxUWsA8uY/1JPw0yT4uv61hhx+9gCaGUAUajTxHUm8MiJ12dGWnCTy1ZjRx/JrsTPS1pfgp/X51RII5wikvps9nXWHIoBtvgC5WfgsKOY0/KTgAI5hssFnmrgGfm5QIO/nBCDfAVXF9CQqyWUBZ1s3yUFqEcCPRms9LHuMkUNBUCPUpDqSeszEVV9uoJiv2cFrX5HjqcYOh3HeFr4mP9GFOk70NBDiR09SX05Pk836in3e9XT6Ld+A+h0GOdPAJgi2oyiHhBe0SPry/HBulJPsd8xpNFvWBCe7BF3gOqR/osWKB22oqyHJPh6kvocfJxu11PqNwIs9FvdfUCDPqR0pEcqIgqKeiitr0fW5+AvEfV6Cv1Ojj3vN30N3AUtPI44epX07LcWDjvVE/BIkIOG6nMWxX4jdrvf3hsgLHzwNcCqqMeOLD2A2aHqK6Ch+hyAUr8Re6HfMFg9EqLaf+ZuHm1BWU83r6gTfLp5Zu0GbjePvgVqp3AbeURKQ083r6QT7rp5Vu0WbjePPAvWkwFwG3m0FUU9J+vwdQL8bp5Vu4HbzcMqHvYfvHAhlTz9FPm4p+rwdUL8bp5Ru4XbzVsBcFfgZ4rp5tExKOvp5glFRV2v7EE3L5mb2SpjunlESkNPN48qKut6ZQ+6eSNE9CynkU6xJ//ihGO5QMVre3AVe3dxEuC0jNPyL1Dx2h5cAPAGEl50/uMv134dwKsfoTMKTikfZ5jXxf7ar1IgZ2LuUqq8lCdU+Jq6eQ9y/4uYL639gW2X1LJaRUw3T6rwNXXz2P0vYb649tyVY+OZwJ7nAgGU8kJWNe8J0MyDPfDiI0ArD75AxfPo5h0WeG6w52kxTlLlgaxqXpiAWh65Ql78Yurlke6XzqObt+rWJzJrTefGyjPeAGvXzYP3v6YWnmQlD5xA4zy6ecY5rl7w6eZZb4CfXs4j97+mFrbQzzPSVZ5KN/Lm2F9TBFDvBwh2wg+WHl8EcMOBpRSPi84Bfh35ACZ8HoDgEwCCMYbL80dvEl70+H4tZb6wKMbTCXA6hH//QJEPYRf4hIKx2onOuW8h2HnS6Bvg8C3LIt/yqcazwrm+dZdf4eJ5lPiS+y8Y55T0/Nep5Ix1Ppzu8iX3X8cHvam+1Zy/AeXzKPCl9z/CzCH4pmAAyAEmsMbHAUw+fQONeKEd6yMA5AUqnUeZjwIYjCP45PnDBRzWGl8w1/j0FbLiqXYim6XDF6h4HkU+qoC8M+turDudYnyKfJq9/OnFM+1cn+pPkW/maPCl91/seIqfcGt6mqDvv0nnk8ME9QacTDcS6icgsx3+nQAYTseUEJBoAWCdz4UAEc4aMAYxZsdYd3NkJg990EUUjlwB1JPEFBBQhtTn9EcocPqTtM6pbjbhAfr1DBFN0J8xLDoKSokfj8cVPxGU6sOCgQnpc/qT6Mv7Q5yYvVBhOP/jhMNopucQk6cDmJD+dMT0jkXoA3pEDeBs8/5IfXl/qAunZxVC3Bt/USINWkZ/BgCRJEXtTH1KrKFP9SfTJzjwSRoA2RsAcOfRDssBNlIlzQjFUFrVC/9j6VushvZFn+pPpo9y/NuR8xcK5BvAByhehvEIweVflkwZFrPJHhY5u6Xv12BpDxbeH5Od90c1rcYxC+TjAy2/BjhVfjrIbaU/LXm6QXDwlMijKbn/WXrIJufvHyAoMqTI94M3qwWAceoA+KKRGOF1+uMAaBwfgOBgXUb3CeLSmhFtA0dCHJw5Q2gcXwHG0THS6/RH6HP64yhI+iNw0v4ARDQl9BkRsxlIIk7EizgwhrN3LFSf0x+pz+mP0Of0R0RY/5gcENGURFv+BgCKiMOBlaBhpBcWQp/TH6HP6Y/U5/Snl04rnJqifMkbMFIfARgiFOPgIONj6etrd3qQ6Ms5nKCEY4BYWP3s02/ASH0rBJlx4cMK/J2pr63d6YHWZ/g0jscxQqznE29AAOA497EPg92IaGp3enCO/aE8hRNAQ2H5+BvwJulX/UFQj/z+dCtEc5xW8N4AFvin12f5mo+I8nksNysw1J1AD8HvWF9S+/93+HEZjzO+GFTzAZk1X7qDirC8P1yf4yOzMRdR9qEeFHwFodBnfATkB9Wnz/hoeS7AAxLyUAyI5nmHGCDBkQlttcWH11ciPs5IKDDmwZgQzfOmmMhChU4xNM+2fHR9MmqlHmAn5obEDOKMeXMMQRF5BrvIeyT332R48/p03gqAPnJuYAxKl4Qi3RHqpPOYT68vp3VeFPiklAB+PQocWCJGDyBR9+H1UcFj/ls0zwCwQ/Fx4c9N40fOlGhDgafu0+sTVKgLYTTRkwJ9lhVPqCWEhS2Y/gfYPq8+grmOxdwSMYGodwUrnlCRTjrEFfo7CPlx9bEnK7YgzONjTE4IgwF4zIwY+SJAxIoAsBjP8uH1UcFxJuM8TiWIDj1jyLDh9NAhIQOAYXXVxafXh56ZxTIvFwccIPBOsA9OwXcksqtkrFCyg8+H1+eQrJODB7iXnrFHinvTQ8yn1+cU6DAohYXdabi79Hx6fRbcfCMsiPIngw4K9ui5Gu/d6jP1HCciNOhgiVP2XCgf0SOIN+m5Gu/d6rP1HCfCUBSnF6YHC4Ve53GTnqvx3q0+pefXEgczpg7gxKEyhrxHM8BGPVfjvVt9lh40Qoki+Fny0IfoWZfb9FyN9271mXrQSKGnIw5QcUHeo4T9Pj1X471bfbYeNBxCkQwWFqKnDHiVnqvx3q0+R498YyKAm/I3cN5V106c9VEAO4JjZL49zrvq2onzeAzvYeGep+XP4byrrp04j/5/9uwDcN5V1x6cAWPg52Nj3lXXjpglarb+Z2LeVdeOGLT871neQ8VrLN/Fy8lfvHi5gO/Jv83iJU/Qay3voeLFPfi3hK/DYv28mHfVtT8GzQh1fk7Mu+raFRNHY4mRIe/zBxoncN5V114cNiPY87Qo3x/BeVddO3B+jXyOotff/RWcd9W1D0fNEQ0yPn8E51117cDRKJ//AxKfXp/JPoJlBewuiKKEfZueT6/PYsfL353z5IgYBAmWL9JzNd671efoQZOEAAcPlTFE0QzwMj2fXl+uB4/YZIkhT4vyIWqcfnC8QM+n1yf1rFPE9cCF8mWKIvFr9Hx6fVJPnCS1K38y6KDgFXquxnu3+rQCMEBiB1LU7jTcHj2fXp+RIhIcQhHjKLwvHSdMMZ9e35n0CUA9OTxmfXAYyXMp2SFURSHI+PD6JDvmexw6EwemvJgHD5OOBwwkdySAPWPIjcLp4f63Fm9dny0DguEJLVrwwLJwMNcBIEJFAB6zIH54fZGPFrPuBjX6O4WpEnb/ospPr6/ziyphieWPwlxvxGCOGRPcoZoV+T68PlfIwa8H/LlQPoW5muNxEAUBxFSwptP7Py8+oT6pgIhW93+2KJ8yNQEihAfw68nv/2z5gPpqAPGDbPpJytMNWpiOE/N0Rfjp9VkFPhbroTPItgLIGJE3A+TsWG/OjvMexxv6sfUpdpI3vRXO+yEszrsDYwaw8cSQF1wgD9z/suXt66N5SuhhgWylhXAqYlBgyEMxIJrnhfvfWLx5fTyPyoQDCX3Gpws9O7u+OQQTChGfUJ+sHQr9WVi+dPc46VuKKPpiEMv44PqETw3qvKS+oX1Re8nnKEjUOSwfXl9NARw54bvwP1/+MoBPr08DnG/fWQWvTz85ACdb+Nr00w9MjuNwtNlH6nEqVBGntDsqzp3Aafa1DeSOK5/GcTgGj1U+fglAuuKQ+vranR5Y+qR2dTZWD5YmwDuufFaQ5FjwJq/yiTsUACSO1tfWbjXR0Ke1y7MxevCIbZgWwrn+VUwnPYRM4n+LuS5Uob777UXlD1pkDaj2FAcAq9OlFCP4/P/+PMUR2BQv5AyhUehCFeq737RIfQaO0Gf0B+pSpxuh53YszUE28hfCkdgEL1eQ339XQaLPiRH6kJ41Ju++xlEKnP4cVugDXewvG0CefwNA4kiAxGvEOAAq1Oi+xvGPD+DEAJBCUQYwOekMsPsDDb8GUGieriIq5DxdyfG7A/tTO0DQ8Xzxbw2LIRUC9oxjFqjZF8shq1GhirC0K31pf/zukP6k3dH9MV6wOFyUmsWmHAcDVoCBQUaYKceq9Bnalb6kP54+mmHRqv6sTeA3MCazXmQA/P5zgDjhNEOFEqvSZ2lv/Ni1qFZaPQBxfOkbsFjYdRUvlU7X9x+nHzwhnRmwIH33yxZDn+5Ppg/B5OlHR96feJLTAozxYiHO6QDFggoMEzDmvzE8UaG++41Fqg/p4TXwW5VXjImd/qztwDdwoIzEFScwv/9SQdAD8fBsEQWOPhGT6NPqUA1SAdIjFTj9WZuBb6DTYgQnsC8AcORpBY6+goQEAIm+E8Doj3VAnL+ccGl6IwGl+/Ga3E3Ylg4TSIp6gOgO/LYptQOfIh8+twIfZvTjQbbSZ/WnqtZmJylH1DgwYITm5F8LOEfIqDmKfOjcCnz5/c/i+RtA9KX9KfPRwff41P2HFgrGrzAEIBwlvgEdBb78/mfx/A2A+oz+FPno+bt8lGOdngGgvCuE0hE2Ss/5Huj/B+HzqRcoj192jj7RnzIfOtoCX8KIPuQ8krOMAPDT4kNXrcSnXqA8fvo4+mR/iny0cJcvv//LgjwlSDAKldhIgcNH2Fw+fv9bC0cf7U+Zjw6+x+fc/8lCziMFWBkRNgJw+Ciby8fvf8PSAzg4SgD0/F0+4BLPTcIFOujn0QPw8sQ74OTJCa5mt/OaapfMbt7aQrAjeYC4kfd4jH6e1VG7Qj+e6O3mtdSGzFPnWHg/UGw3L2ot5hkdVXni/mfxwdLNgwoa53HqHGMfeWdhSDdPADh56PqW8uj9z+IBQjcPALTOo5tHpwXPjnDW85IbWNLUzYMvUFnLn659sdFXQcR08+QNLGo6VcuJ2ge12VpeWzvHKlguQHqlglPMyb848+61c6zS4k8DnGQ+/UuU3qF5L5bwBg04AXJ6gM4nXwDw2kfotexnVZxS/zY9mJHwLSEx3Tw6+0U93bzkDfB1nejdG/VgiI+M6eaJ2S/p6ealb4Cvq927t+gBnQXeoXnRzcPyXvYHIZlOBdvMk/ffxu3mieljNwTGdvOoioaebl7yBpi6unnJ/Tdxu3mojhF3BHmO7eaRVjT0dPOSN8DadfPS+28idfOoFIULg7p5pgIDt5uXvgE+cDnPuP8WRDdvzhRPRiRAimkVzj8m5RFSjwfA9Dj1SUsxnFhK/RYz0/vHUrkgikZum9Ozl6evB7H7epz6hKWoniyK/aZ3v/sHU/KRmIliDrZFAPIA4XG29fx6sIhcj1Ffgq/rE07cg7qeJaKuZ10sZqIoGYWYjrBJakHPj0ekSz0kKAji+Lo+BJr0oK4Hp5t64oQEC3mVZgoaBEP4HSjqiZNd16Pqs/CV5krtLT1gXdHjLJgiMAZKj1g892U9cbLrelR9Br7SXKkdSHX08HRLzyoEXiC6O/8vh2beVM+soKVH1Gfi+xWk97+mR6dUFKwDZikajYTsDpT1nCygKBfi+wnG/a/pub0AS6Hiz+mdE5QHeEa+U58UWFKf9yDGF9gb8udN/OQapesAQR4gyZ5RjNU1EvYA5tQn8Uvq8x7E+BI7BEvZ40zECVwgCcBswTdQvwFkoicDiBnz345mFg1yCZ/Cd+or9oDcfyYjrW+Kce7/YsEjjZmtdP0GULpYIDKA2WfRQg6XHPCd+ko9mL2xHlF8FE4LoPcfnio5av36cIDjTk4ktA65/bcR8u1R5g1Z/yBG9dDoL5Y3laDao+pz+jufIzhV+E6t6TqWc+ALqKwDbOKSsjtXHcJwfN3DtL8LCj4BKmTNKHQS30B+hWHrSD/1A6LfAH5L7vllyRBjMSt8VUGlOlJfTQHomV7ECeFvAOgQvU86Xb8B/JZc/+vSNeGw8FVIpTpYX00B7JmhQDxTxtOlcQS2za55fPkAx6lPlpDXJ2Kc+grsGMc+gfVpGdRG/kI4Ettk1zw4E7FDHKc+iu/UJ2Oc+mx2jGOfALLohwPrnnKsB+hgC17Ahy8BxJG6R6orx3fqk5a8PtwX4w1APcjv/7IQTsrnpcM3AHgDH77/BEfoJhdCTEDEd+pLFnl9sC/5G4B6kN9/OE/KZwVxDow5WZUv0TZSX0/6iqF6mPa3Xbt+A4zawRUg86R8q3HEEM6BMRerfq+EtoEzyKZeO76F/k7qSmvXb4BV+/ME6HVIfMITAAjOKQVSm6GgzxxFwFijujsVJOrQhICZUb5z6fANKEFcUUBffBpiybtTgdegPsQ1A3S6gDMAtxKk4LeXl/pmQ/kR0Q9M6jvJbjBI9pH7TypM1N/MHoLpCdBroXzp7uH4iJ1dEGBt+mKhjR4on9cf0Zu8B6f7Ez1wRKDP+BjQ1D5SH6qv4Fvufyb0pv7I3uQ9ONkf5JkWyFZaCKe2gyY9mn9QBPPma5HKhK6LfiII2FHtVM/5/syGcbQgW8Eio7QdXxN2gyQiyluW0k+VXvITQdDOngigB+XV+hODB5A34k7lzQD1+28qEHlKQZQv/AT3ov5IBVv6Ez1oQOFH5al0lom9ObpEzQpwChShJ/uTuO/uTwwAjKpnWT+Zabb8BgDBFsOvpyg/89/fn1oDr+8PqRCww4XyKcw55JDDnoiMYU3X7LNF+e/vT6bucXN/xhICHerKZNeJYZJLsKjG06ysWAEWAa/6vLy3Pxbtzf0hFfIZ93cKE97/EIRTlRUrSNKV/97+kFJE+67vT3gpjkMSZ6lowcP4CC1QeuJN5TGQ/eDBN5H5pfRL+jNvwZ29tT8s+ndawWWpLsA1OlqciQQ3lccA9snDXyrkh1yX9ichvrk/KHqZVHhlwKTCD71I9P5X0GkKVZDdS6z3vv6kCm7vj8SPEyhuDo4hIynufwUdJ9QKuBneoOi374ICHAZJ4dBLuN18tRG4vz+7+Qi7xVj+ZNDJBNzBF9mV//7+7OYju9lEJIJFdp0AH+HcxDeCOfPf25/dfBEcjghMgHdH+SAf5dzCN5iD+u/tz26+BBqdCLglIVTGkGNmMrbw+T8fIDRfpHc3nxotxQg/Sx76sGueTcCdfOqmzH6p+RK9u/li23+t6ETETfEW5JiZjC184F4Iv9B85U8EbeIT5y8Z41R6FvreJBNwJ192hRzLVXp384G2y6dEBhmfFGc3H07ZwcNxdvOtOPNzAyNnr78zcHbzYeIdPBxnN98Rx3l35JVxHiCJs5sv0u7g0Ti7+Y6eOCIhUoSc/M+14TfgZr4ZZxePxtnNtxoG+kjnVTG7+WLM62ofL+CLMYcNnhVyXa+K2c1Hyn5J7WECttfOljstr1Xw2tpHIe4ey7J5yeK1Cl5b++gkXLp4BwH/ZQWvn783eIL+0wpeUPFsERfBuSwXxOzmW8f+xT14Sc9HDJwi4OemmN188im4nQ/EvKDnoAdxYvAMJSF1nN18cbGbb8bZzUefBnoxAo+OLeLs5ouxu/kA7Ua+6PtdkmsBeHRsGWc3HyHexAeJt/LFskf+IUzlD8DZzTd/dvORlI18KbtkueMHEjbzyQ7u/4GU3XzQQh4FcR7oLfIWYgI28RGujXwHy24+YhloPkIWnFl8oUQMndktfJRrK9/U7918cPkmP5a8gY9wbeajvwbufr4lJk4aHsHJEkOeFuVD0rbzUc4tfPBmb+Vb0+NojGBmhGChfETxbj7CuYkPXMXNfKt5XmIH25U/SvsWPsq5jU+x38+H2OcFfhrYDqQU4XbzkaCNfIr9fj4IIEIcQkdicgLCXUIvF7ChviT93vosCvlIGE/OEgMzMEBy/kiBRI+fEWKW3e31ye4W0Rv1OQr+LcdipCO2qDvGkIHE6fj8JyliXN1FLAuT31NfvIqTnvvrI8QQcAQg+AZEsgjAYyIiFY9foKKFCqJvwJX1xX7i4m+sD8mPetbRGHPUcSFnKLcm9x+mzkZ/J+WwW3h1fY/HI/uDthvry843jsnPEhCA/rABVFZ5/7GeJcf/KExyC6+u72dNGw1yLqzPOd+xeIHlMC/hqYmzRAZyTsfnn7GHhckea8QiXvLLqm+uLzvfOFJ8yK7/deX0UPj9ny01+YTsvvosgFvrawBMH14si0HpOI9eN6EAZ9oFJIzYe7K+pIB76zMpwKOwFAiRUcwgTiCI1SkU4MxcgceIdZ6uj3Y3RXdiZH08Lz4Jh+UACgEyimEDDvKM2/j5/9Gq++vLzvcY8VywCcXAIE90yL+Nn/+frbu/PpxHBwd2p+tbi1RMWgj0GR8DmtovqU/Wjl6Y2ieBzXz/347JAZ6Gri8G8YzVDouAWtXu4fjurU/40AtT2z1O+sa0jzPCJtT0gQIrt9BjeC27wWB0+Mb6cvY4GmBYmj4P4BTDa9mvAbi1PgvgNEQ//ZoDfKGCCwo4OQBXtPDcIyI9wjdyb64g13arAqs72qcVpOquUICHYWQ+PoIgneJgzOWMlU9qkz54/wGT8kltVg+kvrQ/xvmkvqWf06won7j/AUDgQEwont//FgC5/8Eqe6C1GT1I9CX9sc4n8YV+gokV/1vE72V4fyAOQjgshJPyeelQAao95QHYqHaE4+gzFtm//6/SQT/DkAw1OPxehi5AHIHt/VGnxBHYMBPVnvBAbFQ7wnH0pRZ5PgkO7OcyKyPa8vu/pBMchJKzs78QzhXsmgdnInaEk+tLY8T5KN0icJ6VAWzG/TcBsgiRlei+kF3z+PIRTq6vdASSMI3p/UDDwQAxVboBLgQPYHLSywp+Pbx0S4F6UCBEpfk8XZJNTvgExbdisRyyAnBEPC60VygIADz2EgU/BuBLu6P7oxVY6pQCoz+rEjzAcb5Ihny8kDV9wTD1A5ZCYjlHrm+1smrnJWU33gD/A/m4ENFLIHAqIc4XzVChwDpH8PsfNbNeZAD6/meqdfH/NkJ++gb4O8zHUoTexXLobLwDoe3MALBROkIACoRe6sLpWgGlMyoO9w0r8GvPLcb56P6gsKmzUe0Q0YTxGYNOLdqiAjWvzDnJF4tM32pgFUehWEGh9nyRns+6eeAYvFsmYADtyTCBmPwNoOyMgrriDSyxZxRjdcUO5f0psKNPcj6anV1a/AaM4ML3ad1JgCzCIejLN/VJgpPyS+z5EVTlW/01KPyENd3Rf28BFbVgd7KAmgLd/E4B8MlR40peFphifDJvooeoqeipqQ07qztaT0UB0KMUGHrAiMyhv5YRfFhGRHwu9Ow39CBZBT2ZvlRP7EdZT6Vf6g0g5+PqSfu9ThQUgREjAG1CUQ+5or6eTF+iJ/ajoafSL/UGwPPx9fxbkKdiHq2IF9JH3DFQmZPrwSSWHkef1PPjkeUJPZ1+TTvnfKSeIIUFLct0AuAHMuqcXA/WaOpx9Ak9vx7aqERPp1+Hj3M+iZ5FDHkq4kThRsRTyRcywtFDFTl6iorp4Dsdino6/UJvQMJO9QQ5NCiOkZwAGZ7fwpIeocjRU1JMz9/rUNTT6Rd6A4oAT4c4zZAJPt082oKynm6eqcDA7ea1FEDcbh6QoLxw180jTWjo6eZZCizcbl5DAcHt5kERyvO01BBDHm1BUU83j6po6OnmWT0wcLt5a7rheS4icDGPNKGsp5tHVLT0dPOMHli43bwVYCiriOnm0VYU9HTzxO0r6Xll7eNUXozCTV0LFY0v55FmlPR08+jtK+p5Ze2D2gp6sJiSpZsnbuGX3bScZF/s3cVJgC/7icVp+S9uwBfgHMDpAXrueo9JN296hL4K+gpOKR/kUcATkiou5YlOljR185Jz/Ds9ONE7cv+jVcR082QnC5q6eek5/p0etHsHpy9OEJ6pFaCVB18gL88BMKAhgJOHmlfKC1nVvCdAM49MH52ORHEjj7xAXt7PspsnFTh5xkmqPJBVzQsTUMuD9z/bKcWNPNBJP0+xW3npOVqd6eYZb4C16+aR+599oOJunpGu8lS6kWeco1FaN896A/z0ct4xvfBI3PADEWU+D0DwSQCHT5xg+R/LenwRwA0HlvgoyAWdgNhQcR5IjcuHsAt8iQKHj979xh/M9Ph+LWW+sMDjLJ4NMgGonfihyq+w4JNz4/Cl7DnfWm+ZT7wBDt+yLPItH9TF1brEwNJF+mLO3wDJ5z0hlM9Iz/nWeot88g1w+HB69zyPS/giBMsRO04aHkEEMNa1wecASD4DQPHhm1XgA3JrfByge57HzfZ/NarMtxIV+RwFkg/3zeaDN7TGF8w1Pn3/s49WPxCq2oEbmPLNHA0+4wHhfLRCl894AxSfZi9/ls3IdorcT1A38GS6kXBpeiPh1vQ0oZzuKFQAVoMvBIhw1oC1ARx5OwGS0yMx+SNB9I3VNdYdRluwhYIRYtCOuqICXJ2oT1bn1ScUOPWVFMjTozHPUWA35GgAMWP+29HMohE7XETYFYQ4MXv+BuD7P8Ea3YDY9LeRy/pEf536CotxXHFFISakHx0sOiDHI6VPCBKPASU2xiP3/8ckiqd6VH/z+mR/nfqUBXdRWYfc/tscdywDeSEcOWrYOgNAvwEYQLVH1Wf1V9Vn9FfXl9WOB1BZB9jEJeg/PP+VCzBjjsdakopNOaLAJZ0WumYUOil7mNCqu+B/pqVYPA3AF48hWA5Z8v5TdnDUPxZozB4Q/gaY7IuF12ey8/pq7GHhsNOZiIIe4H9zrPRfU3L/s/SQTZqWpfM3oJfO66ulg9xW+tPS6K960AhIDqBxfACCg3UJgIVY4jgAEqcAgHHqAAuOjpkXixkqCqkgc+BIiJMr0DhYF1KAlWscXp1Xn6Mgqc9WgHHyGPFkAEX8FgWcGA10xYhfC8RmfyEcgZ3pmkqgOEZ9or9OfbK/aX2W5bkA0xEU8VsEcMRsi/TnQjhTXTqdTgDqgZHOcVR/nfpEf436kgWeu8mqfOsWxkoODDBQqH4DygBkAvza9Rtg1O700Oivrk/3F8/dYlW+n6/C0Ryzl9wD5dM4Dkezdv0GOLU7Pcz7q+vL+xtnK1i4z8GRvlPsD+Ux2J0qrArflH04/XUWwvfadCvE4PjU9NIvm+4reCHAe6t7PYA5AOJ5cR6Rts9hSRS8t7rXKzDUyZmQ8xKCar7J1fGlu8dJX96Dz+hPnIkgEPpQDQUfrsL3GZ+TtEYP/n5/yL2YDM8YEM3zDjHRFtKA64KfeGkSo9pp2l/uz3MXCWMRA0TzvClGTB7Pe5z+iRcZFYWEOlXeJ/RHDdyvEc4LecMWsEMMQRF5BrvIU+yYOGfHev92f/h8Bw70kXl5uswrpOcKy7QwHSf+6f4sJsDrPClPjwIHlojRA9DqqOAywGf25/goBMb4qOBnZkkPAiNhNONopcBUl1IRdRHzI/ujHi3nSZmteEQjXXRAVQDT/yhMX9aH92edCeUzrHjGRTqpkM+4v5NyRYL/Y+2f0J8wE/HVOcTg2YYAI8ZBgIgVAZRebaGCYTi4sx/eHzQTgfEZQy4TTg8VjvlvFOsZE/nKC3CNsAIs7NP7AycW3AP2wSl4xse6k8kLgMMePy4JVfjh/UHzHXZzDM4g6XFI702PMScL/Pj+GAyF3Wm4r57X6GGI5U8mdujdV89r9CymOCXPhfIRcb+WEXzE/NWzVw9DjNM3tI8hx/SDg47kV88mPYtnnhA8LzIGPk4rgID76tmrhyHCz5KKPqS+dUkdXz179SxxcTqKC/JUxYFMLF89e/QwxDh1noXUVwb86tmjBz0DMcX/fHH+HA5EnJ8If/fF+YM4ANF4MuQD88X5UzgBMU7Jc6F8X5w/irMgDvH5xnxkzACxPws8d9+YD4sZIfZr+W9Z4lB8F/+Jxf8AFZiUoHNbGcIAAAAASUVORK5CYII=\n",
"text/plain": [
"<PIL.Image.Image image mode=L size=512x512 at 0x105DC9340>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def rule9(x, y):\n",
" return (x ^ y) % 9 == 0\n",
"kilim(rule9)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "264747a2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<PIL.Image.Image image mode=L size=512x512 at 0x10BBEC910>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def rule5(x, y):\n",
" return (x ^ y) % 5 == 0\n",
"kilim(rule5)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "77ef0ee8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iP6741Sqh93yAq+FQeBU/NyvQjl6Jv3ldMA/f/WoY4q40APZHilChATT8qR7m8wGa7QOANq94pZvyhiv/+urOcAn+OQxhlEo6QDghRLzaPWzG83i8F9eyP3ecfmoh9g+KelGhBA0/+r2AupL95wOcwjj+Rrkx/masdkOq8plj4rh5PIBPvx1MhueqIMePNwAQcXOjjCjHWx1fC/n3CZo2XAEN/6y2Tt8PYK9BB0vDCbxCPuKuSljqBCIZfM1Om1zHcSqdxvNbsGgejm8id1NXyS+5bXdF0QFssJwTCB70ZwUT/Lm/kFe8Fc8x67x+PD/WzpdH5VvpP/V7ATNA9XLqs6IG3LOAlfJzk5Pl9Cy9JU+jARr1KZ4FMIvJmM0VQfGZSuP4P2Rgbr0Kj/u9gEGUK3jFGGrR7yRf0lAa3ySlBe3hY4zPC0Xe4goaANl80hbnNl7yAVg7Dv0+wIcEfI+uu2e/4QPskE/4AG16Wx4ezc36ePBF/hRnZgG4bmeYrwVSdcT0bywfCHa3iOOLoLfg0CWhyO9LPjySqZENwKdJdKl8Nizn0eYROHk/QL98bKdpe4zpkjy6yo36ULjkt4O5chVxppim6FV6Z1S+lT7aHj3/bTWAPHjXeRw66OSXdpr1yNn8enmc/4EI1zz3uAK6LjJyjcofBTYT7frW9LMQrgPE8wFaYcF6Lw0gov30Xf57uvwDeC8B2g/wEB/gwyo8WAN8JmDQBOgGGc7NNRvT1w/h3Tt5dfLxvJ5cByDodnkM3buSkOK6haC8bnG15/ychZj+4S4QfAA4bW+WIx/DPg83PguYtR+gF1fvB7gEf8eY9fiuuzPduxiGVd7kGyINUNEJYJoU/yH48PSVsaAS3SzvVPPeHX8UDeAfsPv96fcB8C8Cc2kfMuTr7nkcX1x+CjZnlXUc/wG7HwDv2U+p+LOURsXF+mJ+YX48ez5tLU+WJ+3vt+7/l4Dfe6BorR1B1V5+mw/A6Ha1DzBoG/A3YLWrFb+Nffj9fYl/NC7K9/W4tuwKXqAB5KdjOV34AsW1cYrfIB8/88/PBdfsB6D4kQw8/6/rcEZ8isTLS/sBeKNUpIZquTLnIdmjdQGvH8Yc/6/hyvMBivxe4tNpAI6TyjdBA8SPeTLx+RxBOYNtnyDDP6qBan5fxVr8VGilV+jRAMFOkyHyC4oSsrx5xaw+ANdvo2ipj7p2yIFr2lX0e2BcA+DZhTzbaMjlatMYAapXw7QjiElnbXjNTRNkH4Cuh1IDJP32V8lXDgOJzo9gbhLsqlwkP7eOrt4fn1+ujov8o/KJvCPn/Q2iOh9AMpVaW36RBuhA63yAmTLouG59geefXb/KB1CM8JYPEIto+wDJHfVkvMn/ZmgVsBpVBwjH+pfPB1Lc134eqfXx0wXf/F7ruJK/Ax48eJfGG47PgEfaPMWdd81L4p9UP+ZxcJx/M7MAcn4O9deyah0g72ptF4KH89lFxEX+UflEXgv/aqTZft9KIKZxcV09RH7GuW6uA3Aes2fyt9YROmYhKFXXrtnxiD+UKVvrx+/0H/HMB6B0vzSPZ+f9nfw9UJmwF6H0wqVTvvJfCrirBiDS2XkwHb/tOoC2fj616XwWgMghgTgtHKBOo+jtoSN5exJG+R+BEbtvXX9g+LP9AHM1wNWQ5td4to3n2fYSWvLl8tfyHyWEYUpxZ+sA1Rw8zM2ZMNDbPgADtQ+g5OeAnwdIzwem8wvljfKP0nlo1/rzzxs1wG7ds7fl8aJ8mmKdo6afvH+xsKLkE3i+X0V8me+tkPb1j74XQMUBcuVtr/PJ+wcAkO/uzdcAw8m9LP313/xdQD07UO8JpH1/nN6iZ9jhA0jP91eHj0ZbAxChoAGkeyLN7qz8HwAAGq9+SfFxDbDdDWPs6VUXQD2f18bxZeWfhdybz58CUCFF34rg4u4Jw26ibX+jGNUAozZ8Bv9O9Pjf98OjNQBs1QA3Aa6KPn5ogGLHc7ggjjWWjvJdjlANzqauvgBqfyBPk+Ij6wCT9hEeC0F52dS3KdF34UZV2QtpD6F8PgDAaV8zu06GyO7fwQdouSxXhI9Gdj7AcQ4AAEB5LkAZJjocH0tIN0XKP8r/UlDzfN35AB9+ApSTF9KoCaOPD4Og9O31+wGkHTurdwTVW2TG5s+z+W9PPzvA0H4AyGywo+MRmI75mfJYfkEevgPWCdswv1Cf+/JrdwXfTgNgHQetuDRPHu0Ayj2By/iPIZ5MANH+pAFKNgAPmvcCXMwPKV6Vw8QV1Zf4m/Kvwug8fCc//opjmT+gAbx+Xz8tW8ufHCmK0orfgx/YdwMZDZClGm3y1T5AC6PP93fvD1grX7snsH+EtmcZ9vLIeGMEDJ8P4GPo439CRlk78rayI7jJr5Cv94G6zwewrui44lPrGi1fgM8vV8ct4OxoU76rbXfvun6P/Fl4rAbAT/NwKPFDNeJMIzCcAcZdq+Vj6A6LJqC0+Ux+vPZQrUUYy/vWhHvxj07mZwF5CgA4dx4XoByhMf8JNm4tTz/LwOtlrfUzildD59cZnPBHy+HKtdavzmc+JSxPYefh/vx3x3WA0fMBinoO2G3q9l4hX1kyqQHyGQA1IiW6tQbW8iO9PY8Xbaiav9sLz1J5ChefJx/aGiCu/QMaY1lnLWywq+kFT54fhDjFT5TPym8AZ1OyVWON4+PGpDRf19J75XOgxlOeTq8C3loD1KYQ52ZtNJ0/jFW0rl6O4IyuPCu44BfPCjbIj5+h4kHtbZ0WXl7BDgdZuDt636YTElqoNIBUPqZfgdF5+JX8xT7CLK7VAMYRaB7xYv2t8ss/a208wS/1rpzOaJCN/D6jZFfQAHH+nRd2pNVz8x4fAFB+ZTzC6gOMKiB0B4cV2MP4azxOA8y3ArUNNtEtvxcwQz5a5yhGPtJp3fA+7BHbg6vkHzfL5/+Iq6YX/NkXTPIT9CH5eKGrbFCIV28HUyH+HOMO2nT0uTcclT8P0pm9LXrYiOs8/T6ZRLfKt50P4AHavx0szetbRocrVxGfIn8SpPWCu9NJBA3gzhCoOP6cxZ1ALz5Lcoj4FPnzIO2nX73fvlf+m98LYKY/6gsV1vY3LBvPetArn/cB/gFA4T3jEKfFIpRxqgxLOCx/8K+E3QfYLZ9O1/sAHs7lok4b7AG8xeYT8VH5H0T8tAb4TACRPque71oHgHjj2M6C6BU/inOdjY13ym90AHFLGD4hrPiM5uFc3hHsll9iZB1gp3z5fIBoS1G8sMH5RJOywTTdU+Ua4lPlj2DW8/xddBJ/5XiJiPeyOQLRPJyio5IZX42PT5Y/iJF1AB+evvJ2ukkfkc+vA+jvTj0jsdFHsVs+gHfHjWuMwBbdn3XyTN0k+oh8fwyEtB8gxUF4dpZTLE/jKP4e7Jafi0Dhs+iM49jYERTYUoey2GCKP8+vj0+V/8GK3SNwjfyuebE/8zVG4J32A9TUdKX9AOI00BGf42jzKYEZgcOmeLf8Jp50PoDLLy8o/lwG25/78lmxW35eFArTiOLo9+InIWkA1oZSNljBP+QDTJAPkBKs79dL5XD5cPoovVc+CebdwLwwZk5y9DPp3TzMf/4+ebDYHuo4XjeYKh8OO5k/a6PiXKhZi5fKkXCF/GwpuCrQ2J2t+ZAxIq7F8gtnyNVxC7R2tJCfzcdbaavkWzHfBsfRzlyL5YchwoUysK012V7l+QDL5GNgH0CywdjmsvE2f3JHPRlfKv8Dj3oU1rEjhR6Bev6d8s/Rdm6/RnHZhgojUOD3wrVaPvpcnROITaFj6NQ83MJP4iL53/kAfImv0AAhwoQSUn4f/1v4y5L6uObIB2qOZJ6nPzo+hietBDZK8fSVqFS+egTa+OV6LJWPhkvnHrm+EXwD/tV7Fx+AKR3gsUgPg6BXAxCFPpz/ZTg7wOcDnOnubfHTf0DPAsLafITD9w/Ty7X7x/G/Ht3rACFeZLLyY+yWb8VuL36E/1x3KDuAq3cIFzFMx7Kt/FWlNst/IdCzAGktnjxLSKDfmv/1wA+DyDHVoj+c//Uw7QnswdP5xcJHBOzmB3lH0PCM+en8v47u/QD6+K35X49vHeDl+NYBRvDkdYAT3zrAy/GtA7wc/wA9J0/79AGgsKE0PdngR/J/eC18CUz9+bg/UrMTQvAVcuaf0oU16ZGi56/18MXyP0MAALU97JhnPzr+XtAziEt35VK12iz/LUhbwmo9CsCPEWLe3YxL/KP02fKt2D2P7+ZnD5vaPQJ3yzfiHEWP5YfPB+hBei//GIHa8wXokvq45shXSWN6GD0CNfx4d257t+58+RIM7+b5PDmRBf5cFDGCr5D/5vMBZoKuchvf+QB31wAivBC2mf29zwcghK04IyiO+HNtHseXyf9gxe4ROFe+ahbSsKHFOXxEqDijxwvXavnoc/eeQJeLduts8Fz5ktE0GtXfOx+AkOHrz9Q4ytMonnvIt69DUJliSHrhBpCzABXXHPkaYYJjYqWPxmfXz4L6RvsqVtLvxc+h3et/SwOMVQVKG0x8AYiOauiLEPN3nBVskl8WlfkAbeMTKdGDOUO8XuA9SZ/mA8yWj29TT0VH5+FX8udrDT6LazUAHmHSCKRGYw92y89FoPBZdE9fQQMQ829wR+jjPDtkyD6HfA36nH39k+R/sGL3CJwrf2gWINlYuw9goo/Iz46E8QDgiyNiBvCu3w30+T/iqukFf/YFk/wEfZZ88GUU0EJQ/mtbOMRpqYhy9YWkM2VYwhnyy9TWewESfeR3A8NjW+cd2WMl+oj8V/92MH5PqHsl0KHwaXQSQQO4MwQUd80RWMzSaDoaxZwcNj5D/jyM/G7gTvn87wZ+MEE6T3D1eYO98oWDMbHHrFlRs8Sl8lfL3wk/+Lcakg8Q0WmDi88dPsAU+R8EvEcDDK0DwM+agP76vGodAOKNo+fhNb3iR/GKX8jfK7/RAcQNIYmF+HVuJ9AnYo78nesAM7BoHQAyW5rFAeLzgMMu57aZssEEHYOS04pnVTbLD7SsTNM6QM4PANl+fJr57nQSf0yvd2e6P9+m9UCPsGIertAAkq/G1p0pvyW/a2GEqEuuZwbWAXx4+srb6SbdKj989u74o/Ppbw6uFeaU6KOYLd9eX++OG9cYgS26P2V4RpZEt8pHHQAcZPsBUpz3fEN6ovc8jcvpFvSUv2APQCEChc+iM45jY0dQ3LMf9wqM+AA4Pwhxit8iP6OxfoWAEX48Sq0rr9v50Rg74s/XAFftB8BT0/y9H81+AIrfIj9+hphWjPy0H4CZBuIxXMZjLJsrFCMwlB4SPJRxCTg/iuvkA+IHNJehkM0fKP6qntGO9uFKfpdfXpoQ0RoA5xiJS1hT/uhK4JGp+OSr9DK1TtvFvwTWdbjR9wBG5c9AutE+/s/T8WcqnlJ5ChefJx8Up4VzOO97PKdPOUJdOqfvMGt13Foezo9nL/VsRm4ZewlDiXoPj4qLdWD4Zz2LyJaCKwaDSemLO+G6pnweBn5tkTnufj6ANEY4T1sf143Q1eW3W9jkxyrXpIKV5wPoTECHfIxqFiB1KGauzcUx30lP7qgn4/I6Ai/vQg3wizg6IT8LGNcAlnqsK38AihFIzuNTrtYl8U/RANzjYH/+q+bL+fw4jVk8D6/LYeISFPykfNxsbh7P1UPLH/MP2G3i9nb7EzPxaQA1fmIa+Icyne8CgMvscRF3KR8kmtUHKGVS8X4foCoLy9BC4ndMuBqc3F75pZd7rKzwV6B/GgAaI7hpwy/gB59UA/X8IKmNF7i1DLR+QW/h2CkylT/KH/cGAJB7CDy1H8CmAUzVeQHQfv7KBkv7/S/nP7VHth8g2Xxf+ADVvgCf9UfJptf1VPoAnfxU3lU+QAuVC2McMfv4tSuBH+4E6tlB7gMQ9KQBANnDLELOg4kesMuTwJ6M5NnMphfn7mRM2vgs/h6cir86H6DYXetTOknf7UMyc0V1/tn0baD2/Ye0/HOdP7wbCCF0KC7Q7+ADhKphm31F+BvIV/dyH58KKfqr4bMLp0lxfPXykz6ALj6u1HZ3gtuq5SshHQAhxJ+sAXbXQf+m/5q/UYz6APX9uNYHyP2QLeFPKKBPAzxX/oF+H+DQALEVyCM5uzdLR/l2oDRtVOJaugOAbesAE/CHG0TO7Rk6Xi/YAV99Gw0soG9fCwEAeh1AF2/sB2BtXrTDhC9wpQ9Q1YfJK5UpyWqW7/bPg0bR/zTwDr7AbhtcWEfIPl+xDpAl1DZeeBbAN+kl8Ai762NF0Xn6HwbBKg1w1Y6gXVqoki/Mz6fTkfbo5R/aD9DyAbDRdIiO81v5g+3PwrrNC30AQX71fr5VtsA/Sm9IjmM7H1P1qM8/fxoAy1fu6WuULvB7pAGqDpAS43gv2ZMGKNkAPGjeCwCA+j38qhwmLkHBj7WPi/mgzsSlk3J1/KR8KyY8zwf8VVn5qzoZNEAL79YA1IikCmlSVsYjmHcDGQ0A4tp7LOICHwCo8Crslr8Ms/YE8iO4PcuQ+ct4PQJ15bdrrq/fkA/AagCFDzAUT05DvVv0Z7ryTmB/J/dnXPuS+FMpA/GBH4zQaoh3awB+BE44H2BGPGLG/BiHGl5t/KlgR6A/tC57CfzcecBaurr+aLToZwGyBtDXQBO3zQIkLaDVEgM+gBeuNn9I5ka4RI/RkGA+JxCbJpyY5uN5f0ZxCQr+pheO6xXj0qQ5X++g+JXyW6Dm7iPz+TXQaQCq938a4Iji7HQhTQoVn6QBEloawPvCtpfnA4RcWeihsTY/aR0gjzflZWVlMpQagOU3ya/qw9hnLX0JHAB3un/+HlCikzuChDQqLqHmh6I+gORg+vyb6E3y62lcSEOuXjX1Q+5gQbM4gcLr4WdC67RwdKVU/FlKo+ISKn6PfCVX5sN0cRhhpajIb5Gvwojdt74fWOSHnI+ze/L8vOUDzIdUH+t8/1L5eb/g6uaJvBTtCIvervAByvzxyv1cbIsBbPN9ic7JacVbmFGfK8uf4QMkGq0BeF5pJ7IW+zSAXB9d7jmzALt8y+8F8IUUn2qbk38TZ+TcA1Tk5/YDSGJdPs/PP3iafoE7axNhmgXMkx/sbhHHF0GXBNcumjK/L/m4OS3nGbTQ4ukNrfLauTdoAGynaXtc0+mSJEldGD23f5acJ+7PlYG/UMYhY/OXFEmSCeGEkFNzx7ltES8ltPVNi0eSQ8TFBux+M2e3fB2k18U/3BfYTHDag6OfhXhUaIj/A7i3D9Ajz0KXMCx/8G8O5DOCPGTr2Theskqi+DRJDhHvkmehS9gt/xK8RwPYZwG7NdBqE6DroDg31yhMf0T3vwCj5wOUFEkSmcw5gbqFoLxucbWH9tZz+gz0zDp4uvSksKbPlb8L8vkAHuQ1+WCfIy231RSdgCQnj0vlddBNK4Ez5QOk0al9FjC6P0DLb1v9uvpZgPS0TU/fLN9na/2k/a7okTOvjlRd4rPv8wGwKGs3HOW3lmeVNzu/WJ5PD0po847p1Ai2PA0sN4dAnh9i/I+1i5yewvaeSZtl+lJ5aEeOL2Uferi9g6mAsn7z5Ae/i1uEk+gjcOgNoBTndgRRthlA7wMAwe+YcpU+QKhnrG9Bd1EkTccNVGC3/GbdXDs+XD7yC1Jc5wPw/Fb5dHm1bG6+X/Jr1wHWyI82npGN6C0fQNoRVPOX/gYEP2Ss48iexJxyrXJuzZ/ddXZTaKTmIZdmzQsgPwzSaQCO89MATf6U01exVsilWfMW4PoBtlt5PHzmwhZ/q1wq/tuw78uzaIDuWvnWJWuANr981bXhakmFWn4tlsovNUBM9Hyo0ABNfiQDji/s0eflPQ1euC7uAITGwG8E0W8ItVrY5m9fuErcG0ZSKPG3ar9Wvur1cLZ6s03A1T6ARY6mXo+kNzqA1ANGO4D2uQDnxdu9aBt/oPJeNGd7y1Dm3yqfvyQVPmoCQi1bJsCAOaXI5VrlPIW/ngXglzpxqNAAGn52HcA2gmsP+NMAJvlh5Jcpzeox+bh0jj+ixwfQQMvfyhc+U2kz6FK918snNUD1eeZKIDXwdfNxik73ej0/BUzh4lKoLW+r/LYGoEa1RQM00p64H2A27lk/vQYo9wMYNYCv9wMAQHs+7mt6Pvf1HfzkHTDO47vjzBd+mfytSPsBdtfm3T4AIV9tw007ghr8Md7yVhl6bvd6+ClYbfho/GbytT5A8h98lWrjH8L3/GAM/U5gq0QTf3g7uLDjubVW0f0Yf9mCvTZ4t/yrkduoHSGuh1SvH6MjO4xjNdbQ8ez86jiuy5Xx7fJ5E0BWbzH9w2Zc3gHi+QCfBriH/Kux2we4uY2+hJ7jch/AAcD4LGCQXtTw3bOAPR2gG6FP32tm82Rc3gHi+QD+1Eou+1RwEnS8DmDlJ2v4bg1wOe5Vm9IuYhs6m35L+a7+LD3PH+J3YVQekcbTPIJuehoo0FO+V2uAHR2AK0qdcw3/atyzfpc/DczOB0BXdUNwntSbS/uu5yfvgHIESaFYHlOBy+TfBPz3UNIk2zWLf7sN3i1fOYIHdwQB1hwx1QO5Tken1/vgbPzkHfB5fi4uhTL/TeV74jOd5s+YjzED/3c+wF35L9oVPOm9gPn820fgbvl6DUDzafkjenyA8JkLJf4WpHw/T1dO8zQaoKd8gHq06kfvDH7t0zQp1JZ3M/ke4Np3A/9qneDg6KTcJUHgl7qAa0ZjXAolfqX4+fI1Y2gv2iNYHkGjGqSuTSudG3kS/1Pk4+JQKKVz/BF38wE+tDHqA6jloNHa70WX/PZZBF2eNAI5/kfIX+kDxGzh87cOcEN+4r3+ECo0QPN8gJhdUBU6DUD1/k8DzJDPZ0ChlC7C4gOE/Jw99xkdl83xtJCXJ8nrod9e/oKVQFKO1Ouq3PgzlTYLqTx6NpJCepTNmwVcLp8a1RYN0NAKTzwfQCrPKm92/tntlUa19Wlgkf8Hfi/AWekYWodslfytqH8vwHvZZnuA4d8MsgCV5wCtSBrpj5PfAi7vul425gPYvWDJhtroj5LfsuvHp/zi83qA9Pz/uKz7AbDHwDWBm/eOxp+OzvY37DorifYBhB+P5ua0VF8dGxGPGoG3kA+cBmAKID43efI+Nzpv/7AeM573E1yXaQA75o7A58nHxfXR+d8N/HB3lM7e9B+PjucDtMKC9WINIOFqeXeTr4Pw28FhrprN64t4ySqJKjDqS4j8ux0VySbLWUT+pQinhJ0rF3Flr4iXNWq3B9Gr/tD+1ZGKLt4820qbWb6qxAaWt18Hfhr4rQNcgXnt75wFCOsAFly9Emipjy73o+V3zgJ4tNYBAt0zISUc01f6AD316ZE9Uv7s9q9YB+B6nfx8+4r9APr60PTfkX8I0dPzvYD8NPA5VhY3HddcolvLWy2/D4bzAfK9gOn3AfT7AUB+vt3cDzAb6Hl7fM0x1gHI+vLlbZa/HGGu744/j2g+fOLB2f7PB9CXv8oHkHYE1XsGscagzweI+ZEdS/G7zAI0q5Y/KN/H0J8xH2MlHdD7BEX+u58PMApcL2s9R/nXQbsrGL8fgPJPei+A49SXa6XXcl6rAdrpHL3CDNvYsoUrfYAnYJ0PgPKJPsBAJcqShjTAPPAjEM/HrfNzHX+fBhjGJA2QrQNU9R7tKqtvxN31weL2z9EADR/gLiNcwks1QBTPxD8f4GZY1X7Jxvf7AMnX75sFXIXNI3C3fGmE630AMltrXSunS/mvBm42ridOn81/HQY1gOgD9K8EXoVPAwzFIxzK1LLtLVvfquj3LKAfV/gApZcrnfKV6J8G2ChfMeLJs4Uieb71luzkaroVV5c3mc48DYy5xWcBYX/AUzVAbMrmWck2+b64fNj3c/5VGgHRI284HwAgnRFwho4JAz11UlfbKslv0MZb/ADQfP/+Eh/AZXUx1n9G+wPwii6ub73iy8GyEvhpgM3yowag9vwJewKTBgDUn7IIOQ/29eeN8+JCtOTZLKBvXRJIyrufF6AcyfkKABVS9J3YXYfd8kcxqwPv8AGckPeqcHf7x/FpgOfKPyC9//+dD/DjGOwAT9YAH8bw+QCfD/BpgOej3wQcJ4TEb9JnF8Q+JtFvg1DNC9cBfg6WlcAPz4fG7kj2CIi0O9jAVn01sPDfsf1a9D4NxNfV+ORnF2Hjrz4fAN8CSkespFtxdXmL6fUZQOh8AEwHB+AdOAD03jsAOMBnA9R0nO9qz8h/8kv5zhd/VX5MPzeTDO0HyHjb9RxtJwEny1/qAyjk52X0orf91Q4hvUQf/uMn/+1dQLv25H3yyXjmFzB7As/ZvMNsAPDceTBnJ7X2fpT/Pug/H+DTAD8hH9eGrd3qvrzMBj4Eu9o/+m6gTL/vCGivY+hKlvnv2/4jirPjaLTmVb1nz4dn4+764B7t7383UIv7joBPA8DnA9wGz/MBzvzsLCBPacV15Vrpn3ylfL0PoBH2OODWWVs7yr8foz7ApwEeLn+KDxDsz4gd2+kDjNb/ye1X+wDZ08Baduv066NmN3oa9skvyNqlYH2tsRJZ/bx+tfzZ+W/W/qoDFOcJAHU+QCVRmD9b59ez8ck3yGd/cDL3c13BcOCpNjDnfaMPQJTk6EvJLcwK5FlDO93K98lXxLP9AOn5/3HN+r0ALXJ90hN/Oja1v7knsND3vh0+dAR88hVo+QAzxt99bOAePKP9sgb48Gx85wO8HIbzAajww+9itQ/w4Qn4ZgG/Ln/3bwd/6wAHtrVfWAdQFPDwEfDJ5/D5AB+kXreKrq3XJ3+C/Ak+ABZx8+fhb98PgOnx+T/aD7BwR1CbX8Ynf6p85nEwV69Rn+Djvx3/0H4AQoJvx3muHi/4kz9Fvg9Xtj/gwxsx4WHQI0fA6+XX+HyAj78Ps3rgJ3+H/JXnA8iy2/j19cdbtP+nzwf45Fvw+QAffx9+ZQS8U/63J/Dl2LYOMA+f/DnyPx/g5fzZ00DbdTDrTxmvr7rOn/zL5HecD/BrwCrzZXfCQ3waiHeWXHVVVfrkX3l5APD6PYFf/Ofig/sBPvwACD304cOHN+HzAb74hw8fXov/j9csZKAte6AAAAAASUVORK5CYII=\n",
"text/plain": [
"<PIL.Image.Image image mode=L size=512x512 at 0x10BC73D90>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def rule7(x, y):\n",
" return (((x + y) ^ np.abs(x - y) + 1) ** 37 % 7) == 0\n",
"kilim(rule7)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "6dd183d6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<PIL.Image.Image image mode=L size=512x512 at 0x10BC73970>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def rule8(x, y):\n",
" return ((y - x ^ y + x) ** 8 % 7) == 0\n",
"kilim(rule8)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a8678352",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1b7f/Pv93+6f7a+1zULZv3AG47u3nZgBu/ZM/el6AGvGqUrjW2AJ4XSVdZ7Hd12pH3/hDDrpszf3dOfs2vu32bx0/bjMu7WVf5udu/33+7/avjd9yDcBj8y9R3av7xAwAQP45AZglTsu9tNlz8ELaCqvGPwqrxv+V9v+6PYevtP9srBr/r7R/k/pJOgDSFf3XhYAAVKqh9EnPxzfuY+F+USx7xIdlyd6K/vHrfMjJvbl3+/eJ3yv/rrw41dq28XG3/z7/d/tb4q+1efj+eQQpTvFHnlp3cMJ+bb6nDflNQs7Wak/5qolLmw/vXw2l/u/2r4sf+xLKIazHC8fJ8Yc2u/31cWnz7fP/wG7/fvFJEGcIhD+xfMk+DsgzAWKiUOORbZzK9ln+7vFL/ulk2Y1Kebf/kPgx7yP3hsC/279z/JJ/Oll2o1Le7T+k/XMF5DeEP7nEGO4oxgGTrtxB/QFI75/u/X5qkb8v/cbGp7HP/40R0D0HgLPMaIn+TGEfx9wDPFY6rmcaJrJor+JnnTfG71HK7Rd67Jgn4a0tX3R/t3+T+DHvIyflUXxSmrEX+YfE/9X23+f/t9ufKI/wNLchruQiwAPZuwACMo/q7dTjyuAqR7s/lPF6SOn62Aj7nvG/Abv9+8aPfQFClytfC8pew7/bf5//u/35eEr3l7S/Nb6T0UPlkwCjJ0wJAZw9L0Khs+f2+vMpSYzshVSyF/k7xp/4imRJr0Vt+Y+Xu/1F/6vjx0MFbujQowOg4d/tv8//3f6i/w3iNyM3A3A55593AfjwOQD4XQD+1j9uh2kpxIYS8nNwQqr1R9K3jv9t2O2v80fLZ+WfbV+K3f42+9nY7a/zpxVfFYK3AablOwf+SZ8XAbn7Fx/CNNDT/uK1juf+Sss6SAr5Ps78Glif+0DHxf/whSml42TJvtaf3f5j2h+3Xe3aYstjYLf/Pv93+7eL31Jfj03wNkCM+y2BkR5fGcDti+oLr434YH9OB0S+N0BaG20RvydscsD5pa20vBAj4l8ZPeKHAj1Vfg1G+rfbf5//u/3bxa9sz9wMgI+3Zy/+TO1L4aI/3IPB2jSefB8J6/P5MUfKWVaepg9ni78cVzlUeXL8eftaf3b7j2l/3HalZVrtuTJ3++/zf7d/m/a3HC+PzTUDgC9G8Nfrfw7d4bH6GoC0F4B3lMqlwHVSWkdWe4zW8Uv+9Y6/tPzd/jYZo7V/pdjtX4Z9/tvkUvxa+4+uPx4FMwA+SD2cVzweG+FwqvdEOWHKfe4VfCl/6/jjz/QUT9gSp3D2MqP8Cjmyr+Hf7R+k9vivBuEGGKnen22Xq79cfLF9FX/D+L/e/vjzPv9zfD0ws/3T/OedCf4cq6flAdU+CZi7AHBxz/3+zj3y9SHYEerjMhzacGiU/pfQOn5rfmnrzQ+w278k/hq9cPKLGOnfbv99/u/2bxd/SXl4JE+N7HFeqaxwF5A9GAjvg6T0v9UDJMoqjJ/Kx/nYCyX8reP/evtL8aX5/P3/HPsn3e1PlLXP/93+yvhr9Cr8AQC4wyC8gD+SQ0idCUJf259xQirlb41Sfqs/vePpjdbxf739rfyz7Uux299mPxu7/W3+DIn3HwCc9+67cOQfySEqZgBCbdQ1Sa9hpJcXfwez4sfllsp9/Njt3zt+a3l9/dntv8//3f6W+O319Q8Akvv5qfv7L0iv+yt6HeCI9R5v3HpCtT5j3Kzoyb/bv2/81vJX90+Dt7f/bP/3+d8PI+IXcM0AQC4NYZsBkO5ZbHXP6QNv/GuL8fHT5ZbKvfwo1Zfj2+1vLW+0P7v99/nfFr/d/vb6GnENwMbGxsbGxsZimHoNQLm+HM741xbj46fLLZV7+VGqL8du/5Ww23+f/xZ9Od7d/tb6alWfwXMAIhmDy3+vpvjnw/W/z+gVnpUH0xSFfprjl/gYfbMvgEr+3f5X0jj+t2C3/5ns8z+Qd/sL8bP1UapvB+qpf9Q+2qFYFu6DBMU6jKC0reM05K+Kv5RPobfC+AUQy7v9i9v/rdjtT9jt83+3v7L9rTKL60mA+Ml95PP8va9+F0ALeJSW6t/Gby3v7fal5f1a+7fmn6234mv8s8+/2fal5f1a+0towne9DRBcfMmfc+klgNd1AbcOzQAkeuwvvrYyXmeR9OVYy748/nZYYQ1wt/+89l8Bu/33+b/bv6z9c+2gOV7kdrzeBphGyazvhzmp5wXcn7G1h3gDiO+DpPS/hNbxW/NLW29+gN3+JfFb9Vb08G+3/z7/d/vz+gG4ZgBSSodw+RnkzF4DkJjH11Z69If1GGn+Mr0Vdn5b/DbgMkvlVj7s9p/T/itgt/8+/3f7l8WfawfN8SK34x/zOCKPdj4/64EueG7AbePi/g22vz1DO7ADv/YdmMRnjN+7vNwbpfyt438bdvsjebd/Xi+Ut9v/XbDGb5VZMK8DPi7mQzLorwEAwj7f4ynpP1H9GkmP4/NZuQe/Lf62KI+/Dedu/zXafwZ2+6/T/vv8f0f75/zSHC+c7tnPdADwdQGPHO09F/oB5WTsn8kGvO4BEOt+rf8HQMdnid+aX9p68wPs9i+Jn7IF9Lln/Vn5d/vv83+3/1vix9cFPLLuSYC8fZzXQ+6WQdS/8SjlPgcGtv50b34h/hwfNirJq0V3/t3++fgTd7hi4z1cge30dfxpgbv99/m/27/evdSHYnAzAIDG9bcc3OdPpucMAGtvgENpqf4CrjhtRbbi18Ja3tvtS8v7tfZvzT9bb8XX2n/2+TfbvrS8X2t/Cb34rtE6vckzAFn7+M8fdIb1r4rej78Yz1Cw3JNfE/9VB2Sq6IFn7QM/sF/4cw/+3f5N4qdH4AU+5NKe/Lv99/m/218fv1QfNfqY61/6PP9r/Z7eyGf8BHAua48yQ9p/8T++SfF/Cbv9y9vfo89Y7o2W/Lv99/m/23815GcAutuXVaivaAQvpH35bfAolfa3Rn/+3f6a+sG8vln5s/l3+0u1E6bS/tbY5//s878x/tJdDgCc9wAuuCwxkMGfO5lUtN/g0ft+Xqn82fwbG1/G7PNvNv/GYKCLAJ+1euI5AIHuvB4wSUFln651adeAWuhX5g/L4FIJGvvcWlNv/pXrfzb/CFjbtwX/qvU/mz8sY5//fNkW/cr8PfhyPiQdALxmL+xH7wlQ2oe+pNMi7se3EItOCw3Dbv/y9nfoM5Z7oyX/bv99/u/2Xwncej29P30XQKm9L7kPlM6SVZL2Xkh78z/6NH7pcOB8ZWNg8ln1Tfh3++fjFwrm5d5oxL/bf5//u/29Pn8HPTcDwNzHH4/s07cBltlPghPSVaA9qX7Vvhfe0v4bffCW9p99/s2274W3tL+EVvWrvVo/1cczAEX2h9f+cj9cD8n6ivWJqLPH+SbxJ/GjcZVuX0nem4aOfzD/bn/c/jq8fgZgt/8+/2G3v3j+i/MHIM+h5PcHbwNEG7Z06WJG3HUqtyfXRb4ES/zexZvJfgI/wG7/2vix3eh6bMW/23+f/7v9Z+N6wl88gsfdCkofzgAU20P8V+t8rWEjGBwn49f3wK/eo7+lEntA9sP5d/vn/4T8yQis0N6qN/Pv9t/n/25/U/xU/RbjL+6GcJcrUqP81KrUfqMauAJHV+hs/q8jqf/B34Sz+b+O2effbP6N1ojX8SHp41P6eAag3J7wQujOJPpELLRfjH9YD36+PYnZ9T+b/+uYXf+z+V90/u7zvyE/3n/JOA314TUANfYH7icBxiN0rouHxvrXr7irszetH/0CWqyfWddfZ9kD7Pbf8e/49/lfafwDWCV+vLKPr+Xvp/cz7gNVoze/cB9wRQ/6Xfa7/fPx/zp2++/zf7c/vhogvS6A0d/1W2kPAMdzADzA/ejecyx/P7oX+uo3MnAo/Zr9xsaXMfv8m22/kUe7+uVH7ANk1AHO9wp+bA0oib+oh/1+/W5/ucZ+Gbv99/m/25+wu2ScttafTwLET+8fLd8V8bUN4Nv9493+u/0B5rfDbv852O0/vf3/AcDcGYAITqiPX9d/HbPrf7b+65hd/7P1X8fs+p+lx/svGaet9ck1AB4Gyx++BGpjY2NjY2Me/sF5YZ7359V54OGRHXTWu/jVQMPXcBbTfx2z63+2/uuYXf+z9V/H7PqfpZ93DYAN3l/PEG6Er14EwpVHFPBL+iT+j7X/BsLs+t/n/1D9Pv+Z/RM6AGs8CRDZnH/ZLDb7ufz7CyBr8fPtv5HF7Prf539n/T7/o3z4b4Te9iTAQFdjD0cF7utiaFzPiKp9VtTb7Tc2vozZ599s+408fPAbairHA0x4GyDp9semgPIjAJ/ZxxO8yT6J/2Ptv4Ewu/73+T/Ufp//zH48dU/pm70LgBrLO0jm6B3SE1al9p+HpSqavg98gj3APhQ2vo19/n/3/I/qb64nnt6kfBDNANTYt3C+UTmr8Ot70B5tb7Nvg59pf2797iv6SvxM+xPlrX3+7vPfxk/XXw23qQ7+4lH5vXkf9808wHVbHz0DUGP/7N8oBO5zj15nm83/dST1/zH+r2P2+Tebf6MR/sXiPUJHL+t5HtwTjt7jGYBye0geBDBqDUdaM+nNPxv8mtBcfLf9Hfr7mv7Ad9t/LPb5/472z+XXzKfJ1xygDkD4lP7wl5ne766LB12d/edRP/2TTtq8zR7AFv+bgeMurQervRVv938V7PP/m+0O0Kb+2oNbp9eu31vtUWlC/waEw8e63tidPz0BqPUyaV9JXqkyxvILXwA/2/72H1CP7McO4az8yvh/tv1D633+Z5z58fYvzI/0Sf0W2gMAPwMA4bg+fHTvOe4HgPteviAFjX005z/hbQC44riDejYcSr9m3wtvaf+NPnhL+88+/2bb98Jb2l9Cr/rl7grQjt4l++wmtEKiT0TZPrx/8vDXR/t78yPrpE+M16OiVNED19iza4CD+Ln4P9L+OG5hJEQW4zOyxgc27c0Pmfg/0v6h9T7/KT8Y/Fj7i7CWR+l98Afwz2Mk6/Wl6/eSfXZ7DoovbE+bUF8Gvwkp/l/fANJ1v5J1QKreKF0vtODPxT+7fUYfCzjmX4cU/9e3wfjnMIRRujQHgJ/4V7rlvwdbvI8ZX4usuz65FT+Az/5B5BeVStDY8++H7s0vR68p26Kf2/7z50Ot7dsTI+p/n//7/H/L+d+DL471jzKC+z5+R8h3O5HpWamcfabcW/4yen8HS+V35/94+25s5LDP/42h+Efv5u7jB/D+vnefTM/rATl7dN8/JRsjEhH3OFO5L3B/M+1/ZtfQFNDYs2uA3fnl+HtjbvvPh7V93459/u/z/y3nv+RTjb5lvPd1A9NQQZ27CGQEP7JOSsieQD6wpPzwnb8AGvEHVvYaLDWZ3/447tJ6wGdv0dncoANg4gd7/LFlqcn89g+t9/lvwbvbX1H8pA4Adx9/upfex9uXQNFPEZSkPT6IuYO6F39sXVYrihOwK9ryC/H/bPtP7QA0wKAOwM+2f2i9z/+M+sfbfwEwSwDkffxw3iNwj/mv6foz9Y8emOcAJFcRSnKkQ2mp/nEmn/biL9VbT+rV7EfXH4dZ7W/F7Pp7e/wX9vk/x36V4++t538Xvn9Aj86ptfprjf/WoRmAUM+t9SuuAYivR7WsC/H2uSkwjX0NvzTVWjEVWw1d/H049fH/VvtvlOK32n+f//v8L0WuXTRT+VJdA/wD7v7+5PkAB/AT/rl9nP1GgOvmhxp4tJXml7bW/BQs8b8NuK7CuB2Tp6W9FW/3f0Xs8/875z9Gi/prAG4G4Bnzo/G87hoA3r4WHv2V6mPgfpncT7PzXxwcl6RvifL423HWxf/+9t+w4P3tv8//ff6XIueX5t4Jqa4B/uL78W94SPtmHo4B/q1DiyeJngDWSfIGDVxHo+tsNv/XMbv+Z/N/HbPrfzb/14AfkFcqs7guApTW5u99ymsAOL6iawAiBfor1Vth5y9fA2sHac1LtybWxoe6+N/f/hsWzK7/ff638mGf/3rk2kEz3yC3I3MXAC7nWcd37pGvD8GOSL8nQk/gdR5p3U2zLuTQJgHnl7bS8nLoEf/bINVXb70Vb/d/Jvb5v89/jEWO938A6Vp+srYfrOOfv/I0sB7y5YqpcT1lLXvbGpgN0ppX+ZpYvQ/6+Ndqv/H2X8fs+t/nfw8f9vmvR64dNPMNcjv+HdngHrxTclxkHjkbiYeQmWKy1L36U1b+Ur01ntXsR9dfa9TyX+txtamVf7a+Ov7G/lmxz3+b/ezj04rZ/P34xBkAIq9UVkn5Jfy4aDFHX+j4202BSXyMvtkaYB1/vynAN7S/N6ZvR8/4Z9fRPv81+m+f/6bi78lwklet/1nougiWzcpvReyPF/xN9Wch1V8ATfi7Yf32f+qkLn07+sa/fvtbsc//HH68/ft3AHTXAIQlCyUOngEQ4Y1/b+c/MG8NcHb8s/k35mJ2+8/mP7DP/3ee/1I7WPXvugZgY+NtUN+P28l+Nr4e/8bG+njxDMCPTwEB9scL/qb6s5A9BVi5mfj99a7RsG4KUuuttNYxjNm+d/yLt38D7PM/h99vf5rHX4nP6pvRo/v68XP+OX1bL0jP+lM04McHk3Sw8QefxMfoDV8ALfjbxV/qT2/IHYAnT0VqPIe8ty2jWe37x794+we59vmfyj9//nfjadYB+FPlCubhPLhbvt74G775N9RvrIIV7gP+IpxxCttsD870FWW2nxz/xoF9/v8m7O10PQkQj9fDMXyUOvfkRW8DTPQEKJ6cHOlQWqq3wso/2//ZeHv91fJL90Nr75cu5ZfS3vYXZsXfGm8/fmfj7fU3m78L3/U2QEifyQ/gHJw68Me+ee8CeD+u6Rpuek3SW/hqpgB7+lOjfyOmr8F/3H4l7PP/e+d/T7S5V+HfMX6nfnWv/bE+zIlmAJLPGyccxOMZx2xcfgoebRJwfmkrLS+HHvG/DVJ99dBb6zG0n+H/r2Cf//v8x+h9vCvLv2YAiCzX/lgf5qSu1ueu4C+9mCixR39JfuGvFKXlyXyjnwUellezBtjTn3L9O9vfWnfb/ul/vLH9qVj2+f+d878n2rx7MDcDAP68ou9Iy64BwCWGeQKwcmJfFhdugdIWWd3eKr+df3X73pjt32x+CbPb/9fPv9n8q9u3Bv75K5VZMK8Djq4LcM+1APprAJgZAPU1AKl92fuY8+9nxn20tM9WVh7Oj4+YsF/I9Q9DveyfjByfpnzJXw13KNviT2s4xlrtH45bLai1x3VdWo7VHpdTi3gu5T3tv8//b5//VPuXQNs+lvmNA0wHAM8KPHK097xZAFDO8/bf6LkAkSz6R9prrd8DD/Vhcetn2vzS1pqfgiX+twHXVRi3Z/JY7a31G9rP8P/Xsc//75z/GC3qr0H5uRkAT8nRr7g7gSyvewhckC+SRedpe6057hel/STch4tl2V4MgCj/2kf1H8P9VB+Ts9H4wPVXpfIlfzXcoTwu/vntz/GMssd1XVqO1R6XU4s6+/ntv8//b5//1vbTtg83H6Evn3kQEO42PLK75mOY1AUWuMQg7wVWZuwpFd4vPbtE+/51tvxJ+rdjWP0t2v5WlPJLaW/71nh7+8+uv9nY539bNOFjZgB4BNcAkKlwF8B1PcG1QSq7nL0KuF8Uy3jtJF1LydtrYF3Da7EG+ObybfZz258rVxtDC3vuD5fPpTn7Ef5b7Ge3P+XrPv+/df7ny29nX9NucXn/2Of5M5Am4qlnA8Qyfr6A/LyBSPbCJmEl+9y+X4U1/pXar8YeIDfBpuPHvlC60nIpUPYl/NpyS+N/c/vv8//b53+L74+G5f9zCJIT2pE4P4LHzxeQnzdQwisDr51Y1lJyHLScG1/FfdBcef38613+/Ph7tz9Xrrb8FvbcHy6fS3P2I/y32GvK3+f/Pv/7tL9HEpbb2tf4HMebXAMgFegOLxzQ6V0ELudaZzk+Xl1+5z0pZ+2/DEXz/DT/xsaXMfv8m82/OqTfJ+k6A6t9MZJrAJ5r/dm7AHLXAGTu44cw74WC5wBcen1wNKxrNFoOWs6Nr+J+cq68fv71Ln9+/L3bnyu3ZA2w1l4aX1HlUXzyGG3N+LXl7/N/n/992j8/cyH/eJXZ1/gcxxt3AO7775nnABD355PXDfR5DsAju8wmIWc72j6371dhjX+l9quxB0jX40rW/6h6o3Sl5VKg7Ev4teWWxv/m9t/n/7fP/xbfHz3LV8wAoLz0+nzzdwHQ9uReD96HfSMkeyGV7EV+Yj/vvS6u1rKEMfz18Wf3L9D+eb3+B5Db65E97V6PDkAJf6/4Bf0C7b/Pfw3/753/dd8H7fTFCK8B8ADg3JnCsx4fyY/+6VA4VAbaF+bxSMXKSvsaYLeJMDZ+GF9pf+39zb3sV8VX2n+Dxq+0f5PzM3gbYPQin1vG6aMHagZgwDUAcrj4ms70Gs/8GpNsL8G6htViDSy3dqop37L2Ojf++e3P8fS2x23Gpb3sufJqUWc/v/33+f/t839E/JZrFx6b4G2A5+N3XSzzerivEiDfJejysgSr/StgWffxaHubPcBvrXtK9YF1eA2UylNiT9WjtX615bbwv8S++UToJOzz/5vnv2YrLb8yfzgD4OF6uU/mPv1HD9QMwDT4oj983LmKEnL8cvl97Y8S3GlLWcvl5+zXj390+9Ow3lust3+8CuN72jAe0XH1V29v9d9qP7v9Vzv+9/k/tv0BlYfLLzsPNPbpvRM15YczAOGrfG8Zp4+enAGQniWI9ZIs2fMR5uW321vlt/Ovbt8bs/2bzS9hdvv/+vk3m381e/yjNFpuB+n3VXsXwCDMnnuYG/m94T5p2E+l+qz+aLNm9o1iKsc67U/WR3grK6VHJVnsz0zh6XnKntG3tZ8T/zrtP4N5n/+rtL8/6+FJcT6sj+uv3P68M8Fzt9cr2+d4DkD0KgDivQCM/vq8XP9/NHAla2WukTQywLOGVlP/DtrZhz5dn3vHP/vUx5Dqs7eegrWeSuxXjH8U9vn/7fMft0e4j9NLsmQvxa9s37+jLAdXem0AAN4/+0n9cmfiV0GtGYVreNKaktV+g4Yz3kJXak+0k8/pW9sn5Q2O/6vY5/9MnCNxN1a+W8Z6GyBEa/nhMwCplNIHmHENgJ+cbszFbn8aDqWj7Udht/+38dX2b3J+/gOAaC0/fAYglVL60CnhPn31cwCU9hsAAECt4Y2UN2hY66nU3tpurdt9dPxfxT7/Z0J6bkA/2d4Of0eBV8HxkgGVJvrZR4J3czeAsrWdUObWaUrl2ZgZ/wrtvyqctx0nVvsRWKH99/n/7fPf2n4T298+A+Dmok011EN732ivvwM1a3xt5DXiXxXj7oOn85eu3VrtpfJKsf5a8xrH/z7/Z2F29NbzwzoDgH2QfJLy19jPhJvtwMcx+/dhNv/XMbv+9/k/F7v9W6DhNQAzcHSF/KR0CWBXRssTMavdVe1f8ArsJvbWdmvd7gPiX7r9R2Gf/3PSux480Ckw+xvp7e1w3AVAPAI4vL+f1V/PBDA6UY2LnVtT6r0BwHkwxE2mlfFWaz8Lrfy32APMa//Z4w8J1uNj9vGlwey2n3387/N/nWOg1P9WsgHH64CDLzLy3n5JPwsLuTIX89YAvwzvjj8+R9/74FP+sc8BWCR+E8NvYJ//M3AcnN4dkwLPoTpKvvgtMfyF8QCAc2cKTBroAeLPlIwh5bfYz0o35mJa+y/+03N9M9R+Q1jtR2Gf/9/GPv8NCN8GCO6Y6wfn4JZx+ugBAMz38be2/yioNbprX/g5l99i/03I7+Ky1lPePuUfew3AevF/Ffv8nwF3/j/rOQAX/8bnUXECR+tv+wvADHI9c78MaGz8X8U+/+cguAjQA9wVlVYPdyEhMPtl+5ifck11voQzAB6Ii/04Pb7yr1SWUFx+4V/C19h+rN6hHBD1EB2pb2k/O/757U9j3H3wj1ehf/h+baxvZ2/132o/u/3n6vf5P6f9Z88/2fn/jqZ0AOCu6+nP1DHppQcAeI4FR8uBq7Ee2zPlsfYCX9qDKoPZXvBn23e2F+Te9htzMbv9px//X7cX5Nb2zM/VMLkdjpF1eLd/LHPPAJg+AxDLQgPiPmDSJzQeQHiCpPh+bqM9+CcmfwhInZ8ClOxF+gXiz8kd2t+j7dg5aQngarMoBSLOdvZLxB+VlpH3+b/P/5ysbf/Azp8iWZ93ffvkOI43vT3td+wxe748dv/i/ef0fvTOPwC45Ft/av3zHIDoWrwgHylLUNhn+UdB92W0pr1D22j+FexbQqpPrAv99kyekvIpjKzfFePvjdnH7z7/55z/mLfm+JW2nH3ISflD8WnxCzMAHnzUh8KyyK215w9AXQ9ytj2Pd/jP2I9qf249EXlI75VO4Jy9jv8aLdR+RYr2q8a/z/99/vdsf++vPeffKbN+SnEU6jP8xfiHdxwjaWYGAJ69Z3pfDcjIqNzk6kFWluwlvgy8kPa2t2Lz2/hn21uh5XcoLQVn/5b4V7W3YvPb+Gf7vxSSDoDUkUAzAPd9+IyM7dz5TIFrg1SW7GW+/H2U+FpO+trO3H2YMsQ1ps72by/fZj+q/en9XLnaGPT29HMANH+Yp9R21fjp/fv8f1v5a5//+D780vLz0PtH85eV/88jSOWgGYBkvyxfswncZi1fgBe2EtSsn1FcI/lb4o3xt2z/WmC/e7WjtdxRfo08jvf53w5vjL9F+1uO3978heX/cxjaOOgRukK+R/vMZi1fggOuB9XuXMJl0f1DfnzF2/f2r3f58+Pv3f5cudryLfZO+Yd5Sm1XjV9b/j7/9/nfov1Tm/zMhfwjVWZf6/MT75+Yny3m9sgFMtYz+a8uy/2MASSXlje3I7yxsbGx8XlI7weQfqas9sVIrgE4wN8FEO4BENf82fwnWLm0vIJ7DFF/s2SNRsoTlknb6cZXnL2WvzSOWjtOv3L81jU6Tfkczyj73PhKk+bHZ/39t9hryt/n/z7/W5z/qU1+5kIzf1ZiX+vzEy/TAeDvAgj3vPI5AE7YSsCsq6j5c/t68bfEG+Nv2f61wH73akdruaP8Gnkc7/O/Hd4Yf4v2txy/vfnbHN/0DEB4BwA1Ipf0Jagp/9bn7+P0Qqq39/f/kT36TMnPXl7Dye34eYzh7xT/qPY/+9FU/Fwcz17dF0iuTJm/Twdg+fj3+b/P/47t3/Q+/Bp0fQ7AAecA3P1wg+PegGe2PpgPiO7DJ/RRiWH+JxZapuzV/PmYnZBywDXM2XEtkfuiLNHX8lvxK/HXtn8reyu0/OIXXWX+t8Tf2v5Xjv9a/Er8s4/fpRC8DRDjvkf/TJ9cgUW0Bq+YATBdA6Dnj6/pTK/xzK+B4fyPbFkDk9ax8JqUplyuDMlGswZI2b8jfr79uDg07Q+JD/S6ZUl9Sci3J8+P85b6QdmX8FP+16AufujS/vv8f0v8fc7/VHaEpClfhs4/nl9f/j96vA7w7EfvAThTzOdA0Bf2r5IZAKn8WF9GVouydZW59r5wa82/ov1I4LoN/XZMHitWqt8Z8ffG7Prd5/+c8x/z1vhRU98l/Pry2RkAH25Fa/BMiRYU88d/pd54wv4qgysr1OM88+3LvgDW87/QvkP718BHn3InJK23nEW4vkrqT5O/xIfR8fdo/1cd/4lun/8laHX+ZxjQNqn8v7P74H3ch/Dnfw6Ie/ODDoeHQEfoKbcwT06+wZSv5S/tn+H7MYvtBXnbd7a3tp/RfmMuZrf/9OP/6/b7/NfhugiQWou/9jnnHDcCV18DkOHJyTfK+an7S/XQ3Z+aeJnRl6yB1ZSP9Zo1tZxsWQPM6cbET7efHql9jf+la39cmVz5m5/jb9/+OW7K37x/5fpS/n3+t2//Un96w87P3AWQgrwKH92Hn7sLwIqp/HgaBU+vcPpV7AGeaRHtFmK2/y3in41c/Wr0NbDWQ8t6nBF/K8w+fvf5//7zH6P38a4s/x8ARCNnKsWfbzmYJ2Cu+s+Wq02t/O0g9SVz+vCqzRp9KT++SjRXDiVT/rwp/na4RkOXf9ee+C/V2/1xqLTNX8bfGm86/vf53wp4DsVHezyrfwP/HwCAO/pL96AZy+e+CO7iOj8y+uizxEPITfgbgXLrTXorZvs/O/5aeGdLa4Hro7T+7tT4VTYr/taYffzOPv5n+z8r/uvwv49LvJ/TN3KkK/81A3Cv81PyuS/26pBVz+7nylXITfjbwbIGNpO/Zg2wJX8rzOHHYyi8Psjp7f7E69mbv5S/Nd56/O/z3wL++EslKv/b+d8Nbr1Iu6HC3nkCfPgLoGn7F/t7PbHzcK04tT5gtM0PsMF+cvywz39y/z7/C9rfByWh1B//sfom6MovXgNAjcZLZKqMktTMb/yLUb4GNZuf3l8q1/PPjr8tfyms/fBtbx3H/Nbxt8//tc7/2eNsO790DYCHcykBEwXrDYLel6z5E7KVf2OjGqutQ5fC6v/r45/twMbG8vjpGYA9BUjsL5Wt/K1QwW9qf/MU/OwlgPn2s+Pf5z+xf5//Be3vg5JQ6o//WH0TzObPufbchz8Fo/jvg8FfCXOwIH1ij2Tuy4aVK/mtXwCvj78S1oPL+/A9ouVpG/7Z9u+N/y4HbMff9ON/n/8GZI7T93cAxAcBcaNx6j58zci9FLP5Y9Suwc3mn7cG2Baj+Z9r2cOvRGm98JHbrIFv/ln8tD/1+ln8+/y3gD/+UonKvzL/1QHAXeVLvjsYzJP2bjtOj7uiDA8rN+a3QOpZra63Yrb/s+OvhTOmrTCr/laJ34rZx+/s43+2/6Pjx+XUHre1/gzh/3eOl4F5Jr+7ymNG2NK7ABzyp/RdAK35jZD6VTl92GOr0Vv4jVOAZv5QNyP+WjzjyGMkCuf/9F3oWG/3Z/PP5af9qdPv8/995/8B7j57R0hU/pX5/8VjZ4L8GlWfP6v3i4GRBae3PpN/Nv9ZeNyPcMwm5Z9lD3B8L5ZsIWb73yL+GljLCe1z9cvpW/LPtn9j/Fw5bzz+9/m/FqTzYaAnwdiZ1uLPlAW37t7qGoBZ/CEFSt+lt3wBjPCvv74G1rJ89Kn0B7Alf139/VL8Vsw+fvf5b9OXwlpeWXuM5j/xJ3SXPAS3ArsgdU/hDu0LS4vsw/x6uSn/xsbGxsbGBsh3Abjw57RkDZ6yD/Nr5cb8V0moW6RdO/qVNbAdvy5+fG2tJi9lU4vN34d/H/87/hq7Wr5esPst3gYY/h4nV9kH9+Hjq/Ap+xrM5s+Cn75Zz55bN5PW01rxr2jfu/zQHtetR/m4PG+u37fH37v8ff6v3b5a3ho/auq7Jb+aiylYehKftP8t/GFRKMUVn+rXsrditv/j4xdupxXvt+XU2hO4LX9N/f5S/FbMPn73+W+zV+M8ru7y8HHmvQd/7/W3rLVfiV+aAfBcfVL34Svsq58D0Ij/3JdNOVDX1VJ2XH+OuEShSl/Lb8WvxF/b/q3srbAev7X1b+VvhVnt9yvHfy1+JX5t+2vPBw6vsC+6BiAEtQavsHfOgYd7xd5DKvPXADTgh2fcEK45YZlLNWtQUjkSRvDn1sB+Pf6S9qf2P6Dvt9Xby/H34C9JfzV+bftTdpLvqx//lC+U7lfjl9o/Pa6s9+GXPhegL38c7z+PgZ1h/Mb7tfme1Xpu68zvha0ElvUbL+zrxd8Sb4y/pP2t9cvZ4/3afK34Z9vPjH+f/+3wxvhbtL/2+F2RvxTt1+Dv0T6zdea/uj5cKsMLad74Wr9htt78DfDu+MvanyqzhN/aJpu/Nf8+/614d/z29rehZQe0Af6Q7CHuS3hg7uN3gpy3v7oszntS7sq/sbGxsbHxeaBrAK41+RsO/55eenoNXm9/6eM1/xH80hpQzzWscMWG/uvND8lnTver8efaXzouJB/eYF9TLyv53yL+0noJUwl5+/nHP1UWpfvV+KX2L0GNTUvU+vzE+w/pzkvxHjg8nj711H34JfaMb0P4nwkHYiuBh0wwDCiukfwt8cb4c23PrRfXgrPH+7X5WvHPtp8Zf0n715QvYfbx3xJvjL9F+2uP3xX5hZKvn8hoD6Wn1+D19gvwc6mEJ7+//y+xj0uqs2rDX4e3x69vf3pYcOc/+9Gl9iU/gH34tfjN+Pf5b8Pb4xfbH88HJLLuPnxWlh0cx4+WABz4+D17Pq7XR0/fh6+3f2LJ6zvyc6kEq70Vm9/GP9veis1v459tb8Xmt/Fr7a0dq7fY56/Gjz89WzoCL7OX/ejKj2qlcqBU14NdwH7HT8eP9if3xUr1pLRnR8CD+GfbT49/H/87/px8lx6mBC9zPEv2Wie78c++dmEBNDkBXotz4vTePhg/KSf7fdlxsu3fYd/oB/C12Oe/qQOQt9PZe7QN5Y/s6mYAiEJfbv8xyAfghr1mtv277X8X+/yP4NEfoB9QQm+zR/U/nP/EP4ifxHeukd/XzvunHFr/9LFfaf/U35a/LG98G7OPvy3PlT+L6ucAXPra+/gXsd/YCCBNDRZPQW/7V9lvfBXp8wg0+ud4qrOfz1/9HIBDRu8PKLXHmM1fCg+2wmba19x/2pJ/Bfve5W/7d9v3Ln+f/2u3b0+0qP8GiDsA90LAA3SXXqx3J2rtMWbzb3wSz7rY8ywyjZyuq5XZb/41+Dc2auCD/9/KX/0cgEtfex//IvYbGxsbG9+FZ1Jtvrfb52G9Xv4l9jiXTvbRp/fZW+XZ/reL/94dKVa9j37bt7Z/5/G7z/8W8Zf+sAapP/4zlzOPH80ApEiuly/E2+3zhYNtPWG2vRWz/e8d/2z/tv0+PnraWzHb/9nx/wDEDsBLRvDd7De+BHz9rCRv+9+y39gowezjyc7/h2QP6Bo6AO/yekle2n7j2/D7YPg0dvtvfBr7OQAbHwZeEy6VreVt+7n2+16ADQtmHz92/v0cAAuei1DeaW/FbP97xz/bv22/j4+e9lbM9n92/D+A/RyAjQ+j9L7x37wP/rv8s9dwN94MH/z/Vv79HICNjY2Nja/CMak239vt99sAIe1G6WQffXqfvVWe7b85fuF1s++5j33bV9nf6ncev/v8bxU/BY9SMktWqeeaxv93dASo7UD8KdWDoF/WvrZZKMo32nsXb6P5V7AXy/dG/7b9q+3F8uG9x/8+/+eiRf03wD+onAHAY+hjz7gRvJnfxdBX2cbvoPS+8dXvY9/2bdtz4ytIryfR6OP38pXbz+fHMwD+6DO7x+7unnD6Qzj21NtP4ueAM2z5t2SMfT/4tyC19+zjc8tj5Y0D6eg8lY496Qi8zH5N/q/AH7Vwb9La6s/hDBevAbNrxEDr02K3/Svsmfb/Cj5//mvgUUpmySpz9h5tQ/kfu+rnADgHx7z7ORt/yHp7zuWp/KXgG299e4e20fwz7bEdV04v/2bzz7afHb+Wv7b8N9jv87++nBbHj6X+Wx2/YHgOwPmrey+gH7LensRs/s9gr4UesK0Zp+ttY9ewN7+Vfx/3tPxt4OOKkz0haezn8z/tXf0cgHNkfV+Nd8jj7uNvxF8DL6S9sfk3/+bf/Ju/L79D6U/a47cB4gvi8Xj51t+/u4zM24OH52p8SOXe/FJ9hj0rKpXwBvtkrZTQrey/xT7tOZfJD9z5F3Pr7Wnfe/Nb6+OX4pfqg0olvMEel0XpVva/p316XHGyIySN/Vz++Lj/5zGwM4zfeL823zkJn9l68zeEZf3GC/t68bfEW+PHdlw51vrVljuaf7b97Pi1/LXl57DC8d8Kb43f2v4Wey9svflLwV0zT1+Fr7HnnjtAX6Hfnt8ML6R5Y++zW2/+BviF+LW21P4SfmubbP4+/D2OnTcd/xZ8PX4bWnQAGuJP0Htgbpl1tx5cIEv2Z/6ryxLelx/K3fg3vg3pYNgHy29jt/+3sdsfAV8DgIHX0G8wa/CSfbJGL8lt+VXPIcisIZWuYaapE/5680PymdP9avwla8CUXsLq9tb6me2/1d5SP79w/OPPnO6X42+FHmX25o+Pe6kDkF9bx/fhF9hr0Zafvs4A6fXO1UzbuGDL7evF3xJvjR/bceVY61db7mj+2faz49fy15afwwrHfyu8NX5r+1vsnbD15i9FOF6+H5vlIRlHh/somzX4VTMAksf+Tv39f7hfj7qGa8dfhzfHHw4mePnJTXWxb76zH83zc0MW/Q9gH34tfi/+svan8ebjvwVeG78/rjRgj79Lj+caEtmjnOj6Bcle4ecwfmkGwIc1dY2dg3F0dB9+qKfsw/xauS2/agaA0+MadCjl8uH9Vn0tvxVfj5/j5fxYjd9a/1b+VpjF//Xj/2vxWztWr7AP3gZIIpoSJ0bg0Ro8MQJveg1AA34jNGtQko7Lo1mrsvDn8tXalehXir+mvNS/9P5azqYWm78vf8/jhdOtcPx/8/yX7sdPr0eg7d79HACAsJ6CtwFyztw2139Hikyc96Te+vPbjZ/rT5Y6ZwlwpH30/mlJVhb6pvhzdlw5Ld9Hj+sW85N5GvLPtl8pfm37i+VX2s2w3+c/b1daTovjp6a+W/IHnuRmAMh1d80aPLUeX+vdTP6QAqXv0vvCbbR//fVUHi7F+Wvho0+5+qX17fjr6u+X4g9lbfvnbN+l3+e/pMN6TXmasnTtUWpv5T9xzQAQ99+DO9KjexJ2MoLPV76MnnoOQInclH9jAyDtL+9j5FvY7f8t4B+BUvlncV0EyK3Fu+vcYEbY7Br8pUfnVvU1AG34rXcBvHUNTFrz064JvjX+FuXV+N93DXzzW/m/cg3APv/7YDRfe371cwDwVfbUffhcXgva8lfeBYCnafD0DadfxR7gmRbRbiFm+98i/hpYywntc/XL6Vvyz7Z/Y/xcOW88/r98/lvlHpDOh0H4BwDJerlmLf381T3A6ZkyStIW/PFeywyAdC2ndI1pLo+kt/Dj/aWylT/UzYjfVp6Ho6d9+Xftif9Sfbk/m38sf5/jJa/b5/+s8/85Usr0eL+P9nhW3wo9+f8AANzR37mHvoHsIViDD+EurvMjr/dUuQWynT/emztEsnqH0rfprZjt/+z4a3EdgLVpK8yqv1Xit2L28Tv7+J/t/+j4cTn3cQlMivRcOUvxXzMAzjkXjpov2V32zAibfRZ/uAZPlKuWW/C3w+w1qDevAbbAnDVd/j5c6b5ha31s/r78fY6Xftjnv4U/vR9ep+ePv1TS8JRiNv/GjbeeAPsL4M4Qi0m/UdAXwl9P7HxmpYvSBvyz7deKv7D9k/Jeevx//vznRs0aPTviPvky+iboyi9eA3B7QY+wVbLlGoAW/O1QvgbljX9Wfnr/uDXANeKvzW/tR2/7te37Hy9rHP/7/O+D2eNsO790DUBAhakB4MyX0UefJR5CbsK/sVGJtx9GVv+/Hv/Gxu/jOzMAM58D0AK1/Hh/qWzlb4VS/iR/4RSwNZ7pU+BW/38tfmP7v+345/Z/5fwPFHSq0XedglegK/8/AEjumafuocd3x1P34Sd69Lk2tfLHez/6HAALZvs/O34LnHGzwFoPLepxZvytMPv4nX38z/a/l71W/mGIDwK6QD5pD92HT92/3wpt+Gc+B6AF3rcG2Bal/FZ/n2vJw7GFtF75yG3WsDd/L/7Rx5MV+/y38OPjRKvnj79U0vCUoif/1QHAk23B2PrQMU/au+24J/HhWAienHyjgj/yX/Qs1T/2pwxxmsS2uN6K2f7Pjr8W+JKW0rQWuD5K669Vfc6KvzVmH7+zj//Z/s+Kf/bx25X/3znqhfSZ/MeP6KE7FsuIEbb0LP4kmMJ3Adyo4L/fZ8CVKSCwv70Qji6pf5nLI+lL+XEPMVcOJVP+vCn+mvy0/rmrHM7/6bvQsV4uX8Lm78s/8nja5//48z+GdH88p8f7XbTHsfpW6Mn/jx8VX/uPzZ0/q/7qCiALSW9Fc36PIDsQf6Y2rJfkUfYAx/diyRZitv8t4p+NXP1q9DWw1kPLepwRfyvMPn73+d/HXiv3QO/jXV8+N16/9j/63AhfmgEovSagpnzq7oGG8Ch9l97yBTDCv8Z6Zn0Y27Iyt75cCB99Kv8BtBzJuL5K61fKX+LD8Pg7tP9Sx3ex/mPnv6Dj2r3FMa+DXN9Dyv/juzvOewD3pE+uwMJDoCP0T2koPwgyZV/CH+gwhxYWe+v7pbe90b6wvEQW7DfWxuz2n378f9weg/k5Uss/C+YugOi6AHdeC+CJEbj6GgCc/wQrK2cAWP5AF3AU3QVA2QudNW4di1tT42y5NbraNcBcPilPzRrg/PjxGpmUHyO1r1nDbLMGzpfP8eO8pX5Q9m+Kv0f75/Pnfdzn/9j4NfFpypHstftH8+vL/6Mz5BdFbun5to1H4N4fyue8iWXZv6y9jh+QPcBxqUPOiVMflBvZJ346W990pH20XuYFuQP/SvbYzuqHBrhuMT+VxwoPxvo12oeYET+HVu3/puN/n/+8XWk5LY6fmvou4beUD8lIOR05lz6Jr8U1APbyrc8BODJFn3yyP96b7ptlX4IV/W8RfzjI4GVl/VFjFY1d4iHlcc5ex+/PcnFMbHc2SWP7Un6eq3/8Pdp/9vG7z3+9PQkPx4MpuePv1gvw/sp5/p3yKLTkZ5YA8J0B6Z0C1H34hJ7Nf4KVS8vT3elX+SRAGtwBx9m7Rvpafius/G+Pn+MVv3gm8eP6LK1/Lv9b4m+Nrx//X4//J6F+EiAGtQZP6In84OG5uwBSubQ8nB/fvZDezSBHxm7Ct0zvNaiSNcCa8kvtOP0q8Utrm9LaZJ6Pvt+2pPxcDLI9z8/94fK5NGe/evxUWbX+lR7Hqx3/peWX2nH62fHT9vrnAOT9z9+HTx1X9PnDx5C3l54DUFL+P3w7vLahlCN0Qo6fL5BuY8rPR8ZuKCtUrN8EW26fBnXrO+3w1vix3eh6HMVvLXeUX2+t/7ce/63w1vit7W+x98Jm5beWL/UAuHvt9bJuhN67/HyEWfurDC7FnyP5Xr9hNsneyq9EN/7e8Z9923CFLJQl371gr42fi6MUuTI1/D2wdPyLtP8+/xn7QfFzkPKYzyEv/MH1C8Jsor3sQH5DSO4CkDoyaKHGXx8ZGdud+qvLcj9rAMmSfY7PCZsEq/3GwhAP71G/ohtTsNv/29D+vNVC7GAIBFb7YiTXABydMDxafmQ0A4DX4KVrAkzPASjhmwvcV6PWb+g/yb63f73L7xu/RwyY8ephw/0Jy7K9NnaqfF0M9fbS+IEqj+KzjEHmxj+//Slf9/k/Nv5R9ul+hyQsSyizr2m3+Lj/Q7rjv+R++VO+9af2adXYtSAfKcs+ivYkP9ca+VZCvAr7O78r75NRkwm1Ewwj7l9vzb9C/N7FbYrl3hj1HAJm2m+YPVvuoPiz/Bm5qJwXHv+tsFr8kj+XnrOz2mvQYoI5x28tv3AGANnpZZ0f/cpvAH9+QfpbDnU4L11CTsPJD5+Vn8cY/lnxh8O+WC7iP/vRFD9XzrMXl6irhzL+Ph2AN8Q/pP1fe/zLeGf80vHu0SbtZ+wz9+FL9dxE3/I5AOEMgIdj7O/hGFNf6/GR7J588Ohya/IHsB4EWbKX+AId5tBCsndM2hsc7+YfzO/X5r/GBLVjRM7+LfF352fSzf/b/D+FfxDc4+4ceO/ve/PJ9NK/4BoA4ln+RTDYz17DCm0oW035pWu3peX3sJfs2sp196GXIG+f8uM241KJT2e/bvyjZA77/J8bf197+T782fz68v8Butf9+LXjt0tff5++Dr3Lh8rnH8SkYOt3zrTXTnv14p9pj+2sfgDI9Yl1mJ/KU1I+hZH1u2L8HFq1/1uPf4DfPP+l8hzapP0l9gBlx6+05exDztCvHB+DcAbAX7+KeB+tfzkcgrE4H/3h9nBEjp72RwlPD7Gm/Jx9b//L7a98z7kYjmB8opdknb2E0vz19rG/ELXdU39xzpb2Vv/b2M9r/9nH/z7/4/z5dpagtdfuH82vL/8v6NLca/5H6pj00gMAJG2Vtl0MKb/VnsorlSlx1djj/KX3F297oz3Kn5RXyGftH26Mxez2n378f9x+NPB1MqPldpDG9j8w9v9B4D5x2E+m+sz+eaahBziupy60b+p/K0h+JrIvzM/HTU65oWebaaf4auxT//wpe0bf1n69+DVyu/afin3+z8FdD/6syyelMvokBWa/bB/zU64pzpfrQUDRUjixLs7pLevnLcD5qc1v1XOVrJVb2ddAu+6Vw5vjbw2pPnvrKVjrp8R+xfh7483H/y+d/9ryeuoB4rqU9JJcUj4FZfv+HWU5uNJrAwDw/tlP6mefidJEnpS/tX4aqDUjfJWolN9ivwqK4/Tl9fLAu+Mv449xqi5vn/IT/nok5/mK7F8Rf142tf862Of/DBwHj3fnHMldJaPki98Swx/A87uGOwxUivQ+EA/f8j+TUv4a+8s1PyHdmA98v/qwtI373YBP39H2ozCt/VevmI0NCf8AIHq6X3iNP5UivXRfP4b6OQAF9vh+/YFpztWRKF77bCyvgrFxv/8+eInv1+Pfx30b+ZuIZ0hcsH+MfPFbYJ0BmD8Omv0jjCsFCmS81drPQiv/LfYA8DyfO/w8Qp598Alw3nZ8WO1HYGh7Q9r2s4//r5//ua2Uz6qfJVthmAGYjtk++Ml/szE9/qsa6lJvtJerx1q970b/+Ce3/7wjX3cA9saO34N/nsyP0+56K+wzALg+8n0TrJdksXz37JuSzuyAb2xsbGxsmLBnAN7LfwD3BUfLE3F1hI+O8fWKOK3sC/MjWXTOeHiU2lvbrXW7D4h/6fYfhQ+f/2vAM2lnvb0d/gEAOOIRwN77+y4/Vn/dGG90woJoCD76OQAXv4e4ybQy3krtV8HM+LXrgb22lWE9TlY7ziis0P77/J8Tv7SV8pXqW7XfxPY/XgccfJGR9/Yzevy8gBmI/JXc6KCf/iwEAACouc+3pbwKVrsPvO998ET+1F+f07e2T8qbH39e/uHnAIyUv41zPd6Nl+3t8BfFcQxoPeTXvC/5JneojAwf1ktyzj7xh8krlSlxZct3a/XFvwh8GI5OV4X1fvW33O++23/ji2hyfoZvAwR3zPWDc3DLOH30QF0LMPI5AM45Rz2LAOetfdefZB/w1xTfEtQa3bUv/JzLb7GfgdA/vG+ETPFzPtaieM29MJ7W9lJ5pdDU7crtPwpfPP/XwZznADwtY2mLf8cg9tmOXzt+e/TX/086A9Xcjd5ncPOHfjiljLcSewB6/UkLbv2qxj706fq8evxWaNcDufyt9RRwvZWixH50/Nbj14q3H/9vP/81WylfqR7nzdUH1kuyZC+dl8r2DWcAPBAX+/F6oGYAHn6flyVI9tydCmo4hELzhB/9Jfm76h3K8fQSqf6iB3z8WO3Hxx+Pvp6zwkX540+hXpIle5ofw7pGp7eX/aX07eyt/pfar9b++/yfGf8X4YK/evwF3RjvzyPhSB2TXvrnIAgcuI8N7JRDepy/1N6dn4MU48pLHa8aZO0F/uT9zaXcgr1V/3Z+0V4qr7C9VlsHt9ZPc/7V6gfLg9v/18+/2fyrgfm5Gia3wzO2D8fU6ag//PzKGQAj8vx4SaH4fm7J/ugEP1tyAsajE6z3h7/3lhQg2Ev83eOH857sJw3cAngSQfaF+Z9AMT/esN+kPoynyJ5o79C/q82ilDTExSjtpeOhd/zrtX8czD7/8/4LMNsjh0rnDCrsr3og6/Ou7/Q8wfWotYfwqYCsP8z59pT/h/Yf/zlmEeTWn3sv6nQ+KMqXyBIU9nj2wd35IM3E7Sd5dfYkfyksz5N3aDPZl50eTfgBjPH7x/fSIjBvjR+YX6oPrMP8VJ4Se8p/D/X1m7On6o/yMUTL+KN6X6T9a7DPf+PxWdiO3Hs8tO/3yPFJ9Ul9R7Cbwl5CbfuUzADI5fCy1X7tGQCqR04VktX0lCWM4a+MH68DEuuCef4nu0dyK36unGevz8iyvUf23LIpcI4pwNvr+A8Nt9cQ/wvaf5//Gn7r+X/aY5mFR5u0n7Fn+eV6bqn3xL5i/OEd7v7fob23xp8Cld5F4E6He5wNVaws2bt4f8dFERqz+T+M+8B3tPzr/FpYD81VD+3Z9T+b/+uYXf+z+S80OT//4R3SSDq4755K7+vpmRG7O58pcG2QypJ9rE9H4Pm7GPLR6e2FawCIIUcJrPZvLz9nf/QBnx5nKEu84VjNB39Yl7fn+UMbqvyS2GvsvfIP85Ta9vJfY796+3N2JVj9/Oxdft5euk9+Lj93XJUc/1r7mnaLy/uX3A4v9Ce098vhfOHze/KbZB/L6bMIdOXnPdf7V/wsBB9suX2/ihXi5ye41uen6o3SlZZLgbIv4deW+6b6t2KF438mWsZf2o7curh2vbzFceOFzYru5QuFcGvypSP0+msAVpgBSKo6sPPZTbJvJEvoxt8gfp9Lz76tD/u5oSyUobHP8gv1UAqq0w+3K56Qe6OMv33872j/ff4zcu/zfwBy/Pi4wX/4vMGbbK/xLrchJNcASBCuASAfjBfIZ967u+U9KbP2iZzy4e6ctntXZs/zd4W0ztR7HWo2vxWi/2Pc2JiEt7f/7PNvNr8Vvf2X7qeQirfaFyO5BuAAHi0/snANgDQDoH4XQP0MQA7SLIB2lkDix2szj+yEP8m+DeaVb4//+kynaWl4T5g/HBfW2EtpWr6+7iz23F+p35T9CP9z9qu3PxXrPv/Hxj/P3iEJy23ta9otPu6ZGQB+sSNywQfq8KM//3NhPq+Jn85P2GdH4NivW1Yu8rD2Sv4cpDWoX8cK8fugjSl5CL/j5Rxya5Dp94MtLsq+hJ8t1xB/C8xs/xWO/5loGX/tcdPq+Kt6foSwWdGm/OwMQLRXs4+SNR5o5DVnAJKvE7pM/guas8dpqV6LMfzl8QPAvU7mGVn2Lxz2UbKdn/Pj2Yu91dXDtdcje3oo0KMDUMLfJ/43tP8+/zX81vP/sM+df6iQ41oO7vi79UIxtfwrIjcDcK3H+2PHIbtbTka/HgI97myEeYLdrMzYh3KWLygr4FDOALD2RfyJPy5OS/VvR6v4r3Uyx8i9MYu/tP6ktLd9L7y1/Vepv1nY539bNDlegrcBJuVf9+if6b3Gz92LH+nbXwNw+XlsAc+ZxvqgrIp3/UW+nGkRP+pHatZC8dokpStBjk9TfunarVR+u/if1ViAq3+GV8toP9ro2/FLqLXPrU+PsMfl1KJ3/fdq/33+t48/nKSJ6xu3B1d/jj1OwnKc6H8tvx7a9qG4ysr/B+z98fL9+dQ98Nx98aW/wYk94J93xIf0YqUkD0CQ8pfxq2BZ9/FoK80vba35KYyMP8db44elvi5OQJ9z5dXYW+oX28/wP4e3tb/Gj578v3b+W+xbtL/FDqBN/TUoPzcDgH/y7r34M7WvOVB35P7O8Hk9Xx5CV358VTFN4JK8WFeCHJ+mfMlfDXcot43/6W0/UqyPRxQ6P/X2Er9Uvg619riuS8ux2uNyapFrn+P/Ndu///Ev49fO/5H1tyI/lUea05DL/zu7Mff99yf8+Z8DdC2AO1OAx8A9NpGeANZJcuR0vGE+Wp8vMwtkX8yPnS8Bzt9afju/aI++kov9Fexnw1o/b+eXMLv9f/38m81fCrxOXirPRjf/r+cAUGvx3H3+qmsAGKivAVBA4iOuASi6C0C6hkATb1g2GjWU6ktRsqZYs2Zn8adGHyPujXP94/gTz0mVn7eX+KXyddj2fPsc/6/d/hTXPv/L48f+SP628nkV/pxPNi7mQUCY61knP6+H89dFb2GK9f0rAQqvLZDeB6B9X0AhP16HwesznD5LjDbR0cKttLwcVoi/NVrXVw+9ph5zCO1n+J/Dm9p/heP/185/S75S2cpPoffxW9Q+Pp9SeaWySsov4S/1J83d5jkARfzHgeJviT4BUj1dksTUE3X8xvhxP7dUzvgnyVZ+a3vgr6VcmVh/1WO6f4x9Lq8W/nLkpe3/lLrP/xbxU+Vq8nnwAP55DkB8eEh6K78d1HHqic9cfhZ/AADuMAif4x/JIaTORM5G4iFkEWWdJ6k7VN4dK8gthVUS9hvx1fhL76/n7u8trT8p7W1/oVX8b8dXj/8LX4+/NZrU1z8ASO7d5+7lP3VZCDMAWR5CFjH7+Uuz+XWoWQNcB/haV70sxaHT9+OXsO371n/v9l8Fbz7/8Vp3qfxAahda346/Pewc/wCeIbfmHffSmnfOpjYt5RsJFT+eWJDW3UKZni7Tb1a04LfE/3bMbD9rPbZoh9nH7wrY53+f8782X6ls5V8Y1wwA5NIQo68BqOEr0Usw8xv/2kC6r7TFfcc05sYvxWHVW/m3/Vz73u0/+/i/8ObzH9/vXipbMZtf8s2G5a8BqOEr0UuYzb/xavQ+/FbH1+Pf2Fgf35kBKL8LYPYMBMRTah7Jsv4sxKNC1XIT/mWAPEpuVW3v8VMndenbsVb849vfis+f/3g+pFS+o6BShb4JfyXuMhh/1XqrH+i+fvwcfU7fhPwHgE8G7gTi8scaiYncXf0F0IK/XfxWzPgB4L5ctOnbsVL8czoA+/w3xJ/5gfUA4BU/wKEylhX6BvzVWKUDEJbs08893wXwEzMA078AmmFKBwCfTqVyxj9JbsG/0g/gDJjjf3n77/O/Xfz5cvl8HjyA/63nAJTILP4Cg3C9Dcv3PhfowrV6Sk9A4gllqbwKvXRVQaRvyQ8A5vexl2I1+6++D90Z0wvW+pulbxX/27HP/3x5v3r+90Kr+ip7+t28GYDLz9hfvX4y/70kcn5ItkRPjQRLeuCBfdUUYDt+Oj4h/nBKjaaq0KOsuSngLvwWUO3xJn0hfqj9q47/r5//2B88xR7YcvrY/PGJmQFg9Vb+atzl4OI8nLMVx6wFpY/sWfwD7vn3zPp+mJO6Xz947w59fUAhnvIg/okt1Svj68Yf+uGYDetzwCeQBPKky2yl5eXAxTcy/tZoXV+99Vas5v+b2n+F4/9t5z/m0JTL+QeQr9/e/DPOVyX+ADw48Gkc3DxNoLg+U/taTeA95V1+Hts18fH4AJHeYXsMpX/t+N1p4ZgpG0lvgUPvN1XI7X0ojD+8rzbF4a53V0qUl7WPOUndAP4NHr/W/vv8r4+fus9e0Df9UZ3FLx27B5N8DPP4Y7oxHu0MB7S3Dg1ufaAHwt4x5XJyWJ4juouR/qp8Tp+pAw6z+bO+ubzcG7P5rdj+v5vfiu3/u/lLgd0rlWejm//M64A9OBdOTPhzocCBP5/XDwD4GgD36IGy91ee0FFaPibRg/L8w3ZzutAf4mp/wl57F0AX/mvUwMz4NF8zzkBaA+zJqY0/nx/PEpTzaXU9+Td4/Fr77/PfFv/s+pvBLx2f0vUGkq9sBwBfF/DI0d5zIR1Qzpy9CvdP8GkVyDFPmubtJT+erksPfirO6qMlmZAozC9trfkpjIw/x1vjh6W+Lk5An3PlWe2tWM3/t7W/xo+e/G87/zXl19pr2r8nv7b8AeBmANBP1iNHP2TuBLLM2atw/ky7q7xAjnnSNG+vnAHoxn8o6fYeuWbc79nfMqc2fj7/1eu99M+eEj6trif/Bo9fa//S478n3nD+83pc37g9+N9rebzM6+385ZCOT+mdA1JdPs8BwBm8j37vHtnBHSuZurz9U08HGPnpFj3/40OWTh+Jspe6W2m+tvxEVrnI2uNpNXupPC3fdebd98EiuTdm8Vvrb7a+Fd7a/qX1t9r5a7Xf539bNDnfiBmAe7L8msiO5OAaADL1PmvPlvvILvGGQnYErrDXYjx/6dphjX1uDXAEvwVHH/HqTaZyiX/4/t0R/LPRu31649fbf5//EvC4V/vuPc14uaYcrV05pDqr0cfH/V+SweFRsHb0fJrf/9duVHkcj75bWYvm/N49W27fr2KF+B1AdJ8OlofwZ+QcqHqjdL3Qgt8SfwvMbP8Vjv+ZaBl/7XHT6virsQtjpbb5wE+0w5vVPr9hBk6WUsk+531ffp/dBHiUSvtbw8xvjJ/iKoldsm1RRl94gLv77gn51/lf3v77/F/i/K/VW/nDc4beBoO4BuDoDnsAF4zMAxn8uZNJJftoS/LhbhDqE916ZgSutmcwgD+L3n1Aqfzu/H2LFyGFt0QXfKMbVm//ff73xertPxzoGgC8Nn/vj26O468BAI19eBAkzwE4+xJ3vud/H3Qw2JG32p7BEP7cH5jX0NZeA8xHrzn/WvpXtwZs45+Nr/s/t/3l43+f/xsXBlwDECvxCF3Y7wN1jT2Ba47Bw9EdJWUQUoX9VP5c9fw6pMNjBLyD6MzA8hB+x8s5UPVG6XqhBb8l/haY2f4rHP8zkYsfIH8cSMeNdBxx6+3adfgW/ADERDis0v7cej+9P133LrPnPAB+BK1cg5ftl+D3gL94pK8hj1JpP2dv1bfhT+PXwJ/9V8/IihKCYUksj+JHP0BQVg/Y3zL/7bDy2+J/f/s/fuzzv+Q4OPRPfdOyZM/zjuJn1fkDsYceLQFcT8o7HmEb7D/l+El66VPwyuwBAF/1548auso4lg4e20sPcN1xGKRF9mwdzeVHvkRpKd5mL+XH+/HkC5evtPxZ/F/H7PqfzW/N/2v2HKRJ2N6YzX+hSf3+g2R0Hq3zXyCfp0+PevX2x/44X7iegN89EOqv/UFaZM9gNv8g5NYAVwG/9vislsL5P7V+qFm71Oh68m/w2O3fD284/3mMuw9/LH9aTtwusT5eyy+zf/YHbwNEW3LUp4sVcden3J6uBJ2s7YaxMtOfH8Z/CbXHjfX+0ch+Aj+AMX54fLfeP1zjx0z+Fv5bsIL/b25/C+/N/4PnfyhT5UvtprXn7Ebxc/oJuGcAzif43Zu/H/R/Pu4f64NxfLxHb08B7+8mO4TR/FOB+6srXn97+UT7Fo+uqErN24Na15M/LC/++5o+xbfafyzecP5vyMenNPfA6Z79f3G3hOoePZrcDACll+zhmj974IPukIdj3iDM01JPYTa/FriM0efvbH4rfs7/wf3K2fxW/Fz7f4x/oxHuiwClq+UpfTwDUG4PUH8NQAM9hdn8Gzfya6jx6Ioeo/VaA27HH5aXvx/61/UpvtX+G18Gd00Gdwzh+bQa+wN3B+B6lk/4KQSld9fSgauzp0Db9ZOn8nugZw81cGh7mz3A3PitmM3/dcyu/7cf/7PtAdL4Q5kqP5e/xj7nT2/+2cfviX8Az7j8WsfH1+qzerjW9yvticaYvQY/m3/jgrSGatVrdT35N3js9t/4Bp5RejiaP1aOHat/ZtWgyv74/w/OdWl3r1W7QPaus/6qg8fPI7nkcA29ix46ly/oc3AoLcXb7KX8v67/OmbX/2y9Nf+v2W/kcdeveUzJj9jHyNiXkfJ0fp+RCPd+Su8VFl2hfP/Yxo9icvunx/9a52dvPY5f+j6Q8pfaW/XN+GvX8K36jdWw1gk6Xj8YuwPwbSzX/rPPv9n6j2JyB2DPACzDP/sEnK0fjdX82RiL1dp/9vk3W78xGNxa+KxU8usX9SGs7+t+u340VvNnYyxWa//Z599o/Wr1PxprxF99F0AjPfZlpLwY/+we+Gz9YCw3BbwxFMu1/+zzb7R+seofjusXcu4SQDW8v54hvNEGq52go/WDsY/db2O59p99/s3tAHihBKyXZMneqrfzT+8A2J4EiJ4DUGpP4eMzABtDse/R/jZ2+2/Mx/MjXXofv1VvfRKge3SNngTogy7S8ZBBB+EcQ0v9ivzIlygtxdvspfy/rv86Ztf/bL01/6/Zb+TRpH75twEmI9dUH6/xl9sTcMF1cftdAJ+G9Cx1q16r68m/wWO3/8Y34M7/4zdlHGN3z+qfMT1U2R//828DxL/QDukJq1J7vjIGyPisdEg/yJ9qNH0f+BvtrzKgzt4KK/8i7wOfht3+Lz//Ohy/4U8DVT7+6cjJGvvV+CfgngFINoeQ5IlnAGrsKWjX0KVULC/xbzD/hoD8s9Tj0RVVqX2fBd+GPyyPf7fXF/QpvtX+G18GPkbwsUPpc+/X1NgfCGYAos37uK9yziSEeeIZgBp7Aj7oTnqA6Fn6kd4hvSu0X5Rfi9n3087mt+Ln/P8YvxU/1/77/N+owb9YvEfocFzbf++H8J1/Ye4wLbUncHYS7nsMzrmEy/bS33MMYVpkvyj/IPS6L7Ql8muouIdbag9qXU/+sDy+P/8FfYpvtf9YvOH835CPT2k+Tbo+JekAXFfph9f48/vddfGgq7On4BzA3VXgZClV2K/KrwaetNn2eniIx6xY7s1vtW/hvwW7/t59/K9gTyFsB6p8qd209pzdKP6FwM0AoJE6sx+tnxfbE7jHye6oN1KWUoX9qvxjwK8JrQN+DfXq9V76Z4/OPs0zi3+Dx27/fnjD+c8Dj3v115WszZ+WE7dL/qr/EvvoGgCIDM4NreFfcqS7zgGUivb5OgAf5Xv+d4H+KQWlavtF+UNgilK8zV7Kn3wPP3WezVda/iz+r2N2/c/mt+b/NXsOV33j+h91HcJs/gtN6vdfuitcw8dr+sd41l3P8iFT0V4IKo4HWdx6ZgSutl+UH+Duw3GpBI19bg1wBL8FTw/Wk3KJf2GfWR+fjX82erdPb/x6+//6+W8//vB1JPrrStrAxs/HD0k56Xjerg+PfIC/pNLdNVrlNgmCvaILkBGTbg+XSvZK+vb8a6wBfBsOAJzn5ZURjjPwPdgjxiCz+Vvgze3/y5B+YrBekjl7zm4I//LHGV6vjzd5DT1vX+NNbj93/71k/xZ+XBxKpf2cvVXfi18DzKXl1pQxir8eHuDuvntC/nX+327/2effaP6aOpt7/rXln94b+Et3Hd0Uf09XY/mcq2DSowOUtS8CZyGNvCX7t/A3RukEyGj0HkNa32f+dv7ZmB3/6vy9Mfv8n314z27/5UBcAwAAwN3HD/d97wB0eox4a58DkM4WPP/HdvkROGf/Cn7jGtnqa4BWtPSvbg24b3y98XX/V2//Xz7/qfrG+l9GafxSfdTo43YgZgAAcosbUQ/JB+roo3GRxR9FX9fTh3LMw4zAWfuX8G/0xfUMd05eGdIa5K/zt8Cb23/jgfU9Bq3L+R1w9/Gne+l9tc8BWGIEvgA/nwGl0v7WsPJb9QAA/uy/ekaWyw+74ZTcm79ef+WKu/ajh071/Lv92+jfev5z5RXZ3PXtAa4Pmvr34A8jj5hP+dZ34iddmgxuBuBcs49k8BA/2x6Nfj08eiDsnTzCjWYKfMzncM6QzyVa0v4t/ADw9C1r+5hvt+dwXUfrGLk3ZvFL9bm6vhW+0v6zz7/Z9hy+0v4SWtWvOOpMcuPP1L5WeMqLR9HpCJweZVv9mchP9apLeuCZXrlqrakHf8EISFp7rNKjEd/ZjOQIsCM/j5z+qU96BC6Nwtrp6/glHdJ/vv1/7PyP157T/KSe8DHQ+7AEqT0CvsgukrOmNv6a+HOx+HvmIZNHqEuAf8A9n98jnLvxE/65fZx9KZ7y0M8r4nYQ6yl/NfEN47fCo600v7S15l/Jnlq7Lm2n0f7jvNTau8Wf0fy7/ecdPyuc/y3Kz7Vbzl7T/j35F8IfgAcHPo2Dm+cLFNdnal+rCZGnvMvP2F+1HkPpXzf+qXDoeRRYXgH5Z6kf7np3paX2Z57M9NkI/g0eu/37Ycb5L70LUqMP01K9FVb+mvilY9eBUx3D/P6/cL06yBGMceN9LtDdiyCM3ghU3tXdurtdhfrX8eeAyxv9HVPKL70/fPT7xUfXX+v4d/vbsNvfhtn8pVjt+CtFN/+v5wBE7/Qj5Huff54DgK8BSPQpiq6Cl8qr0L+KvyGkNT/VmuBg5NfU4t42PUbL2YNa15N/g8du/3ZY4fzXrPFz+nA/lUfSt/Ldwl8Tv3R8SrHK9cDcBZCUc8AFY9tI4Wm9Q9mu++AL9FJPpkzvkj1p7tTCzF8bv1RwNOFQkt/Lcmv+5vY+9n00rPym9mtQXila8+/2H3v+rHb+l/pLIXcfPvZNeocF9U6LVvwzjs8ScPe0U2NRaXya15ePgG18VGnv4oe4OyCdmVTe2s4wZV/Lj8viYiT1VL+4RM74L8mt+E3xK3Sr63f702lO3/L8q8EI/lrfHmtNCWdz+Oc5AB55mtdb+fMl1OTDx4fqOKbwB3CPOe+JaiyHsI2IJ43AX8yvoJCo32q/EUOqz9X1G2WYff7Ntt/Io139jpsBKEfbEfj7+HFxdfpma4CV/E1GwC2Ayk1u/+zNOzv+WVgl/re3/1vPf67cREwLwGvdgewB7ufwUfq4iIePmQGg9Q34q+O/ZeZ4UetZ/AN4hvpcGkK6r731fe9WPqs/s/nBGzcrZvNvbHwZs88/K39P/0uvf6iVLfyz20/APwBYegZAwmi+1fh1wPeDlsq/iq/EuUHjK+2/yvkvlUvp8f3xpXILn1vxl8ZfU18l+v7XAHiFSQ6i/ewTWOBvEf/GxsbGxkZzXDMA1z3rQMkhCmcA0D3yxVfBZ54poPNHKL9QX8zfIP4Sb9hyubUlpfxWSHFY9avD6v+vx//r7X9hlfO/pr6lNfaSNfhan1vxtz7e7DFeMwCQS28Wd+7jWLH+KuCWz0WTUn0GZb+PVVfh2/mt8TvDZoWFe/b0zNfhAUzPNLPab9gx+/yz8kebL9fn4B3/W5Tkc/Wyhb9n/DMQjk+pawVaPwegxB9d7lfzS2y9Byy1/J5JVXrcny6VM/5Jcit+U/zVsF5IZLWPS6JSlX63f96/Ar0VrfmtE1TKDsDRHP63ngNQIrO4ngToIe5vhGNQH6YuyBsOUCl9Wm7xCBz7legcnyfyu4KfsC/iJ/xvGv/qaPY+8TbuDEfr96lL5Un5Z9uXYre/zX42dvxx2tq+Vf1wo87o5bY+3Is/62cAWvjJ+UPrf4f/INHr8ZpUnE2WQ/sa/mg0UzMCEkZDpH9MHtI/APE+cE3ZbJ7W8WtHh0/qj3/T7J90t3+6j8vL2VB2HCfyb/r5H5TJlZfoA3tqjR2CWmL0cdFPmcwMAKuv428YP3W8+OsJBN6Teh3+HYNY7o7/cHv24s/UvubwEP/EYj5Gz5eHMJrfCo+20vzS1pp/NXsrRvsv5af01nXE0L6GP4fd/nOPn9nnfwtoj2+cr1S28s+Asn3+ATtiXWwGAHdHELcH1GURy0MYzd8d+L5USpeTV36f+VX9ccc91sc9chp8bJK9xL8GrG23ZtsD7PaXsdr5L92fL90/L8WT07fy3cJvib9Ffhp/fDfGeX/87J3p/RvnL4PLKlirE64BKEZg79AW87kkz21b6wOyL+ZH/leBs+/9fuvR7y+X5FLgb+TieAT7UrSOf/b7y3f7l2F0+692/s/G6OOvNbr5/4/efUxin+Ni5xzcsg/eb49mABzWX/tQuZnusv45AMGzCrhnFrjHf/dY6fkJ+yJ+wrb9cxAyZaFRCqXjZMl+PuLRCdffjj+lyI8Nc/YS/1zgtittQ6t9f+z2l7Da+U+ugRfqc/6UXPOg8ZXyTcvP6S3xW/NTvj53ASDgWYFHjvZev1UuzsmDm23Q6lMenALA0393WFbys/ZKfqn8aj2RVWsS5feC3IG/ub2PfS9B7X2/rfgBbPUNkPof5QnWpVo9B6CIX1H2bv+x589q538L1LQbZdeqnJVgax88En3kwicBCuWW6lMe6jqEH+b3KOX2c3otasv3yn0aXo4r6feS1/3m/OOv+lXVn4KfK8sS/5PSVzFT+YDcn+eW7bX8fEwcdvvr7N96/ks8UpnnjrO+j+OTq3+iwPs+/9RTH+jlcjT83eIvKF9EzQyAPwUyRZ0ND1FBxSNgj3eEOak0j3YjcCV/t/hfgLKm0dvfB76j5d7Q8reOXypPyj/bvhS7/W32s7HbP05LUXq+VYG5BoBHsMZPpmj8aljDztvzI3B890Lp/fk6e+UMQLf4bbCukc3E0Se6epypHOfl9+E1NM1aaSn/DPjM36WX0pz9bOz2t2PW+S8dhzo/8LXv6bXwdHzSNfOPPl8/Mj+HNvFzfultHq6/pAAhDilMp5sLr4eL/Ui7QXjxo3QxRGfP8r/nW+C7cAD3OjklrwzpGeYhnLfFRdmX8K+KN7f/6riOCXKz2hNj7JpDDtu1KgdgbPxd7AUne/++a/GSGYBewGyeSbn8vcqXeKz6nC/++M/DtZYX/F1y1hYAvGAv8hvjk8vwALcrnpB7w8a/27+Nft3zPz4u0k3yS7afe/5J/P3jl70rsE+uARBH+Ecx14wXlWJ3LMMC1n7ZGQCl/0qU2vcegikOj656K+QJrMn8femnY3b8b2//5euvM78Vb/e/OZJrAJ5r/dm7ALLXACBMuAZgDPY1ALOQX0N7VuTwk7me1b0wP5bL7Kl0Jqh1e+rvyotTre1M7Pa3Y+b5P6L+rPH1rJ+W8dfaPMf9H9Id/yX3y5/yrQ/zw5R+EzkCx7WB/cT7MQrslTMAGysCr8dp1+dWQG7tMlmvB1tclH2W38A1Em9u/9UxZgL2QOn9/Nx6uHadXMM3Mv4e9ooZAJR3/Oib4l50BqAbvVGeXb4FyXoukil/0g69D/anQ9ucvYa/L7C/3NC8RweghL8Pdvv/zvlfY/fU93F8YjnPFm7Sftqe56+IpcKmKcIlAO+9B+fAe3+Mcf31mx/Ih/7wm3obIILmPXs5sPaXH0HK2db6kLVX8Fu4W9mPhC9Ma+0vzJqEkXh7x689IErzW+13+x9Ypf1no9fxx9X/7PaXjoNSlB4vVQjeBhj9mN0yTh89aEa/Pa8BqHgXQBV3w3cBVPtQgdzakmaNa921zWc9Fs7/dffvtpJ5/tmQ1heltrTaj8Fufw1+/fx3rKyLL4e8ff1zAFoiXssvtz0QvA0wXCSQFhFc8L+w/v5wdtFXd/8kPgFJ9w/3AHrHX3p/J0bp/alZeyt/jT08vhc/xx3ya9m9+QFs8Wv9r31OvWTfpP52+889fxqf/5I/PfSl7Uj9lOX2c/aUPCP+HJT5/wA8uGA74vLs9ujh/P9MJZ866b1oWMmnxM0/Kf7bDxf9Adx90nO0EukBXS+W5BDs548JztGJu9Jj79MPv+I8PwHWnzI6NfT2NP88xP5C1HZP+8Y5DfZ9g1Fgt3+Mr53/eSTtXPh1b7UfAefPmYeKg++JJ5wB8Gd//0wdk176aBTsAxHgkXGK9ZKcswcAcAQ3V0YpJHsf8EOF/y3iv4BPSexv6Skr2Sf6suK7o9Tf0nhnw9q+zfnH0ov4evt//fzfqEXJkwBn3gWAffgkv782as0qXMMj9L6l/e2NPjXbXz6E198Wr+n6wvyPnPKPjZ9E5K8/Zc/oW9vv9i/yH4zxh9sC578UT6qH5FO5/ToYHv/zdEuyOpT1ddwF4B8gAXL66/PM/l90jRz2G6ODvstzerRwwWaxtdoDxAcZPugoOSzDaj+jDWbHr/kStH5Z1vLs9l8//pbnP7WV8tXo5U5IPp9VH+abEX8Oyvx/AADhWv61AQB4/+wn9QvM/EQ+SO500K9QBwDUmhV+kpmU32I/A/EaJSSfVTK7BizLAf8yIxLCX5/Tt7Yfid3+D754/n8dlmsAHvwBPL9ruMNApZQejn5Q6Mcl41TKX2zv+LxDUjc5/gVQewBedq3sZ6dW/2vtORCnaRG09rPjXyW1+l9rvypGHX+ronf8TeonPwNApMwMAHaC60NI+Yvtg0fwTEn93Q+p81+Qlfb4uu6RcrBW6GbIpjjAVg8viD+rb2G/ePyfaP+Z5//GPNjb4R8ARE/0uza8P6efidk+zOafjtK1yx7y7G1m/Dk4sI0PNPaz419hmxn/l+GETcpn1VvPrwXwDwCiq/nDtwBQKaXfmI2aNb5WMl6LHZ2OilPifGP8LezfHP+vtP/M839jHuzt8PprADJ5R6Wz49/Y2NjY2CjG668ByOQdleb8GxE/wCrXAExJkV9lMhTmJy74Xiz+onZsYb9Y/GXyj7T/vgZgow7HNQDw3Nd/beH9/ZJ+GUx4DsDngbtBM+TZ28z4c/DnVguN/ez4V9hmxj8T1uOrFT+3Sfms+lXib1qmUOD+9dtA8OeB6KfJ9amvtIvTufHzGNEBmB//bv9J8N5zz6FTF9GEv/YH3KhfJn4D/pAz4bP1yTTQA7YlZJxK+WvtKXC2WpTYrxj/KNT64VBqtZ+dlqKVPYdR96nPjn+VtBS92382Zj8nYTZeEf8/eKb1wR1z/eAc3DJOA72PbSM3r/fY4xTrJTljj31IwNlqIdgvFT/qSvrzD38O9ZJcYr8KauK0yKvB6v/X4v+V9p9z/lPPCByJzW/nD98GCHGnlNsYPT4zqDmCpnrKrwJIfCLeHr8LtnLz2BfkgkYOfQBF/pw8G6vG77ytnrT2q8Y/Cm+Mv8X5H/oRlUc410Of+5mi6qu1fpX4KUjlnfgDCK/t92e5nt0uPc4nHpHSAVuoP95JXMBfyifgYFwpfvS+b4if5Z3oPS680F5wdw6e/jB6n7vD+lNGp0ap/TqQ/KX17ezXwFfbv+L8/cnzf6MU4QyAP/v7Z+qY9NIDBLZc+da1atbe3f+z/F2vAVDwh2XUojZ+/A1d2se32s8G9jeJR5IF+4218fX2//r5v6HEv+Czc86B9/f6Mjzrz4986F2y6s5cjFi7/i7aK/i7XgOwXvzXitDdYw/W8ABSbWRN5uDtV/06fNYq0xFMrJdknf06iP2FqO2e9o1ztrRfA19v/6+f/xes12685dqPWjzx/KH9x3/3+vKFU7716Zhz9CFB8nPr6Nr1/gL7JeMvLeCZ/GnhkoF/MDdeFxPWybpgRPzHytA8+xx2+8+LP+EvPP/x+jK1Jp/lM+o5H6R25PLV2q8Wf0l5J+IOgAPwZ+/ved4fPPKth0hLyb1B8nMuaF0rsF8y/gjUM8OxjpMl+1VR/Exzdg1YJ68G3Gbu/G7XtqXVfja+3v4h+p//HrzzE1dHeH5ru+ns141fwhPPX6q6/ndorwv06hFo5zVwkb8bvh4/AXxoSGlr+9lYLX5rfVn5Zsc/Gl+PH2P08bcaXhH/P7xD+yTA9dbAw0+5TYLOft34NfjVNa6a+5st90uvBq/8u/LiVGu7Kr7e/lq0iavueoDc8deKf8w1AOvGL/E/x/pfQiqUJ84A9D5DnMB/z1Zwm4ZAtl83/s7IrYONmA3L8ivLcADRuieWq/kXi995fVwUKPs3xc/hZ9t/0LdA7qvR6p/GvvYrnstXa79a/C34tbCNQHvyLzUD0A0CP/am1Dve3gtbbwj8Z9/Wo3Grf/q8UTw4le0Xj//r/Lv943gYWcNSZ19WP/SemfVrxez4C+2TawC0wH0Jpm/heZUKrD3PX9s9LLNfN/6lIfVBe49hRP6+9NPjn43Z8e/2/zZ2/SMk1wAcwKPldPRctwYujcITfeM18GL+bE4F/2Lx37nRN92vrG0+62L4Pm76/uZ0TVy2Xx3S+r0mfeP6/4Hd/hrMOv+l47CVH2OuASjHqPg1PpzXANCZuEWSeE9O1pVbqlfye7TzlpX8rL2SXyq/Wm/lbwDrBMsK/Hi9uHj92MhvQQm/ddqUsn9T/By+0v69UL0+r6hkTXzW9W2cv9Z+xfjbHB/NZgCEckv1m1/Jj8so/Rmw2mvLLdXX8vgoDbvhlPz++J/SWncAbNjtb9PX8rQ9/8/j4n4fff1xUm9VwX9dy5Hkv8q79J34mZLqrNrwc0sAzgG4o/CDx53D5yhHTr5c9WhGm81J65F9Eb9//A+nANT8hH0RP2E7NP7W4L4cOb2Uv5SvlL813hb/aval2O1fVl7v+EvROv634RXx/wN21OnheQdA6sTxy/Rs4++DF/k7vwtg9fjxGhOl42TJ/i2QfLfqVwW3zjjKfhV8tf0B2p//aXnxdRHSsSJdS6LRa/np+KTrONLrRLBvWv7a+FrFL+HJE7wNEAMtHuBSHcqDf4Faj0hb85PlDeQvRSl/Yh+uF0ly/+mEKfcvX8CHfNn6WBuMiN95W1xW+xx2+0883yRZ8IdcXx7YVbLyW9v/DfEr2/MPAD/3/y4BwvfNpwNRSd8YrfnN+VePX3gWuM/Jkv36QO9zZ3LxL7bX2a8K4pn+Q+3n49vtD9D+/JeOBY0+NwbX6LX8Pd4F8Kb4JTx5/kG83n/hmmA+dVSZ13p1dl2bnRtXImMv8mfX8Au4Gfvl448yF/JK+bFTq8kYOJ5SGWN2fNb6KMVs/3f7l8kYs89/K2bX59vPPxbXRYB4rdmdOD/D0R14ytfKje6DV/OFMqRr+EX8r4//2MGvieXld6//4vu4afCx6exXh7Xt3tn2ALv925//mjVuSd92DbxMb8Vvxs/cBYCBR5mFsj9x7b9lpd7KL+4vtXtF/CiEwi2Eh7hPWSpTyPFh9OAvwVvjt9YDV85b4m+FX4i/x/mvPT6ssPL3kleOH0B1fP0d+R3k0uNTuA5QKDu0n51wk643qJWl/aV2b4pfsyYmrHm1PJiHQhq78WvAOvvVYW27N7c9wLfbv2RNXHP+p98HHsL30UvfFw3XwKv44czNN3le//74KfwdJuAhGEJiOe1GqGUfK6TubqI/7av5pfKV+l+J3wSHUkkv5S/lK+VvjbfFv5p9KXb7l5XXO/5StI7/bXhF/P8AALw/1pqvOWcsG9DtPviXYJH4a9YA8efatJXvNankg0b/y/FruH85/l9vf1xGrUwjN16lYW0PG7+Uv3V5KebGT+EfwDPU59KNj2P2BMTmr+O3+sGV85b4N39ffs3xwa1Xazcrf0/5LfFncM0AQC7deDtq1gAP2EYf9gPIOvrJnwfiGvHtxW/GL+HX4//19n9qofb8bwu5vvvwroL14ldeA7CxsbGxsbHxS1BeA1B1HzrR/a19G97mt/HXrwG68//a1Iq+/PKa22/H/3X+r7R/n2sAytF2Dfx9WC9+5TUAr7wPnjj7PvUcgHYTOB7i2cxSefNv/s3/Pn6PNm5/Tg9w9ENqNqqsUv6cXpJ/Jf4M/vLqp8T33gefK0erf3v8ljVAx9wHrJWt6Mkv3Qfem1+Dzb/b38pvOf95+Og+dA2kcsvqrJTf9hwAO//s+ClcHQAPEHEj2SF1qSztL7Xb/HX8JlxHGnfESfrNP5d/tt6KzT+Xf+MH8Q/i5+ZfCJ5/L61L1+olWMvf/MGGZoJmrQGuhq/EuUHjK+3f4vyn7rBwwZhVev6BD/5q9RZ+nL9U//74KfzJo85zw6W6Qn0xOvMn+Qfzi2jMX/Q+cMaVWplCzfvHW/KXYMe/4397/DXnf/QV4tPytfpatOKvrb9fiT+DPxDXvel1ae8h0hNHXGwvhzuWX3Tox+KPftSdLBf7+0YULPht/CC+0v6K8108//EdBjX63Bhbo7fwW/Gb8XMzAOcvytO98CiTu/+vsxew+dvzW4AJ3iZj4C9+zRjszbIVs/3f7W+TrXg7/2zZim783OuA8TPok2fS418UJDP26vvgN39z/ig3muX/ylooxlfj3jjw1favOf81a9ySvu0aeJneil+K/8nDdQBE4Clp3V3ntffhb/4m/K5g643RfCE8xNc5YHkEZsa/Anb7zz3fNOc/Vy+e2bh8tejFr23/X40/QHUHQBiBZqxqnoS3+dvwX6i77/f38NW4Nw58tf1rzv90jTker45fAy/jx/lL9e+PPy2LfxDQuYbMytKiA2MvdXdv/ebvwm+CQ2mp3orNb+Ofrbdi84/hx88TKH2+wLL2OvN1/e9hP/gaADU2f1f+L18DEK6VhX3or9QBjvfL8X+x/QHy57/++KDHqzl7qr5L9DZ+IPPj8qAb/+z4KZ6/5KBX/k4JI1Ae0lnWm78RPhs/vn+55H7mVfgdQHrfrPLr/xfi/zr/bn8duHpxzKa1n82P89favzX+FrCtQW/+1/J7YZOtLfpW/FLam79Wb+W3493x7/aXUV835fa5fT34NfX/y/EnGHwNgBqbfy5/L0g+9Pbx6/yzMTv+r/N/Hbv+EfY1AJ/k39cAHOkX14D3NQDfbn+A/PlvPT40a9CW1Mo/2352/PFxP/g5AO2w+Sfxc+tP3DrUivx4MrBk+vQX4v86/25/GlK9eOWmLW8Wf+n+1vwcJvAPfg5AO2x+C/+XnwMQ3i8bXkf7lTrA8X45/i+2P0D+/NcfH+H8SVpWr9TKL+HX44+P+30NwObf2NjYuOCEdNv/kP0/SN4rf7w/3jnIyd57n5NF+9SVzT+QH/UbNWuhv6jPrX2u4N/W99V/tf2p878cuefWjcDmr+Wva+/fgkeY7c9geA8A9zahA+DRNpb/zHK3ux/MPzv++frd/hPj98T5PwVf+9rFmFbtATE5AzBgS5za/CO36Aug0XFVgrn8nknHejCz/mdjt/+Xz7/Qiy9jevzX/IGHeI1gyz8vOxj6BDOM0U9Q472Yxzw//nlYI/7vtn/Mjz0YJXPPqf+KvEr8G59ENAL40hTovS+Yivli/BP1S8T/4faP+PES6DDZF+b/NXl6/NW3AW78AFywzeT+Ynd0x7/jX+38uzsjg2SMzT+cf3cANsCfo4Lje8AFe35d75C0mn9b31e/2x/OfXEfRCd7VI/W8jb/eP7rOQDP8bHlL8obGxsbGxsbG1/B927/3Aix2//AWQ/3FPEg+Z6Qnsb/+fj3EsDGxsbGxjEn6AbKm38t/o2Nj2EPAL+N3f4HcD2MknE625/R8vT49zUAW97Y2NjY+CD2j8DGh+H3GfBp7PY/gOthmHw+kGYa/2x5evz7GoCNjY2NjeAisUHy5p/OvzsAH8ZzKSp13/AXZHw/7Wx/tjxW/nb743p48J374L/Ov68B+LB87dizoBsbGxufxOi34C3yNrzN/8wAHNI5RgjHCpF/P6if+Cz4rV9Av9v/1M26D/3+BprE//n4/47x34wNYzA/Pgvcx+IPvJgyAzD7bWizsePf8a8WP/5q6i1v/hX460aQxwukeFnebH5sfjv/3Q0lvOkOj7Y5mMs8P/55WCP+3f4HsAejZJzO9me0PD1+rj/ikQ7LErb9u+37Y+4ISHof9xgPVhsBjsRu/xXi5+RZfnwN740fjxpHjyI3v4X/mjW4JO8BBq9BJiOgofxP5JfyW/HP1+/2nxi/9L74YZhEuwymVftFXH0boHN5uTc2v4XfOQDnLpvj0+gA0DYS95cuI4/AzPhXwG7/9dpfqhfcaeE2bXmz+Ev3t+bnMJu/BO8eAX+dH1+HwF2X8KPwwXAolje+gN3+95xDMB9R/APk/TmXUP8DlEoj+Bt1AF4bf4A/oOFBWEPGnVa8piTZC9j8XflLL0/d2Nj4CLjrI7Tr1dv+RfbcEsAzP0zL0ghUtBew+efy/zCitdBoMPiNQSCO98vxf7H9Aa5Y3fkXx64/Ph77tOx+qZVfwq/HHx/3/zwGUy0Y1WvQCeFg/kb4bPx4uombflqZ3zIB8gvxf51/tz8NqV7wdQvcpi1vFn/p/tb8HGbzl+Dda+Cbv55Y2N7B75l0FH89Nv9u/3bxUzJXN9rSS+xz+0bwz7afHv++BmDzj4S0jtX7vtiv88/G7Pi/zv917PpHGHwNgHS1+a3f/F2vAfjyXQBfXwPe1wB8u/0B0ljrrgHIl51fe67TW/ln268QP7oGQFUmgbo16OP+83r95rfxczx6XvX6Uy+04MfTpVjuzW/B5t/tP4qfqxfPbFr72fza9v/V+Fugbg1aPQLe/F34Yx70JMARAyCJo7cPYSeYl3vz1+vfjtnxf7r9g/Glz8g+yB4OPH1QEMDxDRLfhx7n4+0hyUvta85/5E7yP+WdJf5q/ATX6GsApG7qrd/8XfgTnsBWHD5I96P2fq765rfxz9Zbsflt/B50+guOSSVwdtPtlb2rZf3vYf8P6FGncw78o/OQrkHHb5dL16Dz9lIQm78//zMDUOLaL+FL674bKb7V/vi+f16mkK5Fx/mltWq8xl2jt/BL8f1+/GlZAH/8qNTFG9k/DPUog0P2xejMz/V3R/GL6M9f2rVsiplvQ8NVUttEFuy3Ae72X739lT8Nx0b87FjrtRe/tv1/Nf4AfwAeHHgi37X/3JIMhfq8HwQ684sO/Xj8Z44w/R7cql+9G0Pw1fbHcWvq4RprcmNkjT43xtboLfxW/FL8xPMD0RxywTPpNj6A8DKT+JITvT5OfZAzvVClpvycHvuhlVvxrxA/V7ZG/wvxc+Xm5Fb8K8RvbX+LzKE2X62cq1+NvlbmMCp+FtdtgMb7xrX3lddeBb/52/CnpYbp9/CtNeANjN3+emjWuCV92zXwMr0Vvxm/8jkA0n3jgnw/5/7cj597L+mt/OL+Uru3xp9GFaYs8JiiVCbJ0TaavwQ7/h3/m+OvlfFWq69FK/6vx5/B35E/XgtO14bxOnKh7NB+fMBLeiu/uL/U7q3xb8T46hrwxoFvtb933vngYrFTdpw+RrDGfGbx4J2/r2BM9al9ozXwKn44c/NNnte/P34Kf4cJeAgGglhOu6mlsrS/1G7z1/Gb4FBaqt/8c/ln663Y/Db+63ehVr/xg/gHAOD9seYfrAlH8saXgdeWStOV+Uvy/GL8X+f/Vvvj8aUkSyjNL9dJWZ219vfX46fwDwCStWD12vDGNzB7AmLzb/7NP17GW40egF+zljaqrJb+fSX+DK4ZAMilG++FtQ1tow/7AdSXX+4//3b8X+ff7T8WUn33uod/FawXv/IagGp4sPWFrfazMT1+a+W9ufI3NjY2NngorwGovg9deJ4ARqI/7V97H/7k+NHdhMW4rPFTpvSpFbW84ewbD3lN7vLiN+OX8Ovx/3r7r9Z9b7sG/j6sF/81AwC5tH4R5cR9Hp37fZBNo7fyi/tL7d4Sf6Pxv3fxN2mpbMXmr+P35+dq3qCMN8a/+QPZtZe59xmEcvhV5DySFXor/46/BV47Av84f34GQL7W47T3qGtaKj9fRzjV6e38mEcrt+KfE/+11eIp453xp/hW+4el+2u3V8tS+cH76LX1j6HNZeO/wzq+zGr11fy5yHS5evEfMwCnI2GX4TJ3j04z4kxkVC7Oh5HoA+5ifu8j/4v5L7vXx+8ZUodShDv+q5/g4jTJ7/JpKUrLs/KV+iPpZ8e/mn0pdvuXlSfqwaYvRev434ZXxP/v+H5P3hfvrofSHjqqP/GMMoEfQ+J3DJQiYy/yX7a1Pgj274j/up6DKyFMeftyx9eAdc3t7WuSVv9/Pf5fbv/L9yeGsucAYHupvFSf+nPPMVTqLfxpvGX698dP4Y8flbp4w6Xi980n+gIvNGjNb86/ePzYkPAnOwPg0YfiCQjOn6tYF285lPJp+EvQg39E/NeaYi3wmmStPxR2+3eO3xfml+yJ8qItw2eFlb+J/LL4AVTH1x+A9Px7+vn0x7zyo28bMYHW/KXuvjR+6c0HbB4n26+M5ynn8fPOY/APBkf2XXzsD+t9xe+9L3u3f3pHhM1eKk+jz42xNXoLvxW/GX9uBuBcO3bkGrK7/892d6y/jKy9gh+t4Vdzk/Zvid+JZbAO5uxXlzHwF70oC+XNjs9aH6WY7f9uf5uMIcWPsY8/m2xFN37mdcDRdQHuvBbA4xw5+XKkzX3wdE6Bn1jDL+LPXgPwjvjhfMkwLuO6Q+CSSL8y9uvj6Ulr1vVq7VcFv247xn4+vt3+APm2S29S4PNoj4Xxa+C8XhNfDpT9m+KX8OT5ozPgUWU6yqzrcmRHywq9kt+jnc9Puo6ftVfyS+VX65X8UbxA+B/zuFjJ27eEQ9tI9L9vVsaI+D3Y4rLa57Dbv1/83sXnbGl8pD1RXrQZfS6Bld/a/m+IX3l8MR0A+f3yeG1Yt1Ysvade/x77LD/766jkV/y6vyP+46hIB/BC+4r2b4E0dpPeB//Osd/jtzuvDSqNw2q/Cr7a/gBpG8J5XYOHK+5Tdkhm7InygHkfPetPozVwkR+XcchHbr7JHz1l/6b4JTx5es8AoPVjqbub6MX1a4FfKr9QX8w/OX6OS27fjH2u0FxaitLyrHyl/kj62fGvZl+K3f5l5Yl6b9OXonX8b8Mr4meuAZBRtwZejIo1cHx/vOp+fVSSbL9u/Lr9Wljt50Ja25TW9t639h3Hhf8uvZTm7N+EL7Y/j2d86c+RBSeXlqeFdByW1TfPT18DIPmL64MvT+LnMCp+jQ8H119CqCyPHYH2PmNclKT892iW2zQEsv268ev2F9I9INefgq03WvA7gOx9zr35LSjhd14fFwXK/k3xc/j19sdfddqvPi4/J1NfjVn/GsdX+tWujU9rv2L81uNTGvFxT48bPVJ8yQxAN0ybAfDCJhRn1Iv8Z9/W+6ine8s+KIVMBfvl4++OxePf7a8CdVa3QZl/9J5+x7e9/jUMM+MvtE+uAZD6CA6lgp1XFJkDa8/zc90jbTdPZ79o/El+lE/yR2Nvgfbw6gWRv/Nv6Oz4Z2N2/L/e/tIYr7d+dcw+/pZDcg3A0UfGo+VHLpwBmL4G3guLxp88dwC9DfDUs+2rsC8PYhyO/kt8NW0sx2tweE1OY78ycuv33Jo3VR+S7ar4evtroVvj7svNpS05OLm3vabsnvFL/M9x/4d0x3/J/fKnfOv1a9C9QPLjGrzXRQTjCwX2S8Z/4fJX+RyARJbsLRMsVmQnaJSnEF6PK7mP1zrBZEVJ/NZpU8r+TfFz+Nn2P/Pg9d7S6xMk+5r1aW39lMRXus7N5au1Xy3+FvyNZwC6YfNr+JMRfJBbfBJgxn55YJ/TDr0P9qdD27z9W9CjA/AOfLL9r2sVknY75Vt/D+XuwH2R/SX7Y4/hOKm3ovglP7h8lfbLxV+BcAngfOwreO+PMa6/fvMD+Xk8bFwQO1Nt+/1g7RX8/vG/yoes/aLxh/nPp/je7Rjoj5c9X2W46+XPanva18K0tf1srBa/tb6sfLPjH42vx48x+vhbDa+I/x88V7iHP+63jNOgE+ADW/53qtsauMiffZZ/ATfzLoAl4w/znz/e6b6njDgttV8P0tpda3k1SOuLkv9W+9n4dvvH94WnbVb2HICcPS2PRulzAPTQ2a8bv4QnnuBtgOEigbSIQOTDv4DYL1yDTfQlixuFfALc/f+i8Xv0gciCW7PU3oTR90+HwFVWeQiZMCJ+521xWe1z2O3fL34HYHo/vWSvWZvGkOIt0XM+SHFy+WrtV4u/pLwTfwDPO+Xd+WXv0D6VXjrAmuuxD4Uwn3OLx++eXBwuHZlHYb8egvEL+T735Bnf6NQotV8Hsb9PB/VKr/1hzpb2a+C77Z8i92z4JG6iQUueLb8aknYujMFqvzqidwHcXQh/9vfP1DHprQfC9oI/FTjFekkW7LPdNs5WC8F+yfjDfB4AnCP2hRGEaan9wsDXg2OfRVmw31gbu/3zkOLf+AjC2wCP/u4zliVTZqzLHVDEb0yRrLWnwNlqUWK/Svwu/nysSzhaT80AFNmvh2dsiu/jxvpTRrNjpfbrQPKX1rezXwPfbf8U8YzOePuNN+C4C8A/QAKo9KtA8qu3fjk4l7tq77kLoM7+hj+3EhkgnrwotV+pEVaN31pPtTyrxD8KX40/9MOhDaOH3gsb9rO1fpX4KUjlnfg7ynlGguGKsvfxCJHTLwPJnd765XAcHfVuW+1HQ1q7068B6+TVQPjrc/rW9rPx7faP33efruHHejivc4jkMnsI30c/Hpvfzv8HEM8zOyRr9AC1a9hN7Lm8o9LZ8QO/P8nC2Vnsa4/Ay66V/ezU6n+tPQfiNC2C1n52/KukVv+t9p7bz+klWWnPYdTxtypeEX9+BoBIKT3hJNeHkPLX2HN5R6U5/0bEn92PruKXDqYK++B+YTdDjnzBa7ySzK4B6+QXxJ/Vt7BfPP4Ptb8D5/GcTU5/3kfuOb1o7x15/8AobH47/z8AiNaC72fCAZ1S+o11YW0j0d6ydtlKnr3NjD8HB7bxg8Z+dvwrbDPjnwnr8dWKn9ukfFb9KvEb8A8AoifChU+Fp1JKPxOzfZjNL8Hqn2yP1wpHp5Qvo+SecY2Iv4X9m+P/tfbf2CjD668BcHzeIambG79UDv6SSPQg6AX7xbs/GxsbGxscXn8NgPTcgt6pv/shdf4LsmDvwcX3YhC/19FOadBQaH8cDf78PCeN/EnXrPMyFOYnFkgXi9+VyC3sF4u/TP6x9t/4FuzPaDiuAbhf+xq+XMbfv++sHubfFx+tUU94DsDU6yCu1mAzKO/jr7U/+Z/sEHcRRsmzt5nx5+DBNkejsZ8d/wrbzPi/DC9sUj6r3np+rQjp1zzUr3AtwOw1+Ln84RUZtD7fn4nTUvub/zgRrnzj5frUV9rF6dz4eYzoAMyP/+vtf6f+fEM85yfWe/CA5CJ7sMNWhhc2KZ9Vbz2/2tShCeGjgD1A9Ox3Mg30dwc03BeWRaRYL8k5e8D+IHC2Wkj2YX1Ahf8t4r+OQYfsojIYfdh+lB+SvQ/4a0DQm+xnp6VoZc9h1H3qs+NfJS1F8/g9s5/TS7KyfA6zn5MwG73jb1I/+G2AHgDgWFf2ZProD0s4UuyDdJJoZdE+8x6+3ieoy/APiz+zn/IvspPfBZC1n3xeUs8qH3kfeMBfF0AHzHgOwCx8vf3T+M/79JV6gPM5AKFcYL/fFTAXHs4nOZp6AOHbACH+veE2uNNIwmcBdqqTvjp2iU+JoCeSL6+3HsOjD0T+bA9HYc/64xQywNF39URDFtnDnDHCxUvN/4yIXxOy87p8VvtSf3f7n2VY2n+dbicAPLGEMfXW536mqPprrQ/zzYg/B2V+PANwxovfNU/p0QhS8qmxnnpPQRGM3xncnRLVfFY9kz/nV9Z3hf1MHEfiNfoKxiiXPn6fe6I/ZXRq6O1p/nkQ/SX17exHY7e/9DwA6/MCepe/YcMxG2N9FmA4A3Ct9Z6pY9JnTfgizjhQu/4u2juIr0mg+kynbZdrABT8Wf8LfeB0gTtJ/uSaDVwe0X4l9hT/KsDDI3ySiLJgPxuSv8P5V6sfLP96+xf6N9t+YxGEFwEe/d3jO98/d/tDJIdrworRr/W4YO0vP4KUs631IWuv4Ldwa+zdM3tD5ndwX7OB9ddsztV+96yO0p7lHwZ3euYiD+Ox2jNCueZL9WvAkj3NPw+xv9c38jOKjUdsqb+F9tPnn3f7S2vwOX0SN/ELbil/Nkqff9HafgQs1wA88fzF+8//nIPku/4a8wbXnLvrjpAJlYN/nc9fYTqTdv28wJ7kHwUff7xF7G/4nMJQD3H7ulgp23P8JXBoK7b318RVuT1eF9Ouq7XiB7DFr/Xfuj7O2TepP9jtb4k/B+/ik7I0vhp7KZ4e+tJ25NbFtevrOb4Z8edQe3wdv+n4/vJHnn3f/QXufQVf4X9Ya54DwLevzj5r55VpUpg2Pe9fDgxjmeDwSHoepxbLKnuGX+0/0NDbY39T/6+9QGp04O1p/mHxf779Gf/O+/TTHKd865/8gOQie8L3XDwUNLokz+334xeQflMlhpu0n7Fn+ZX+E3lyOu3xUoU/vOMZDRIzAHDPAzjgU+ykpX/L2k8dgev5u8V/sob36BP5E9NTz7av0p7lD42kFKPU7up7eyT3BubDJ2Dv+LVhWk8NK99u/3yKUR0/40cvJLwovdDr+OPqf3b7j4q/VfkAcD4KOITiSYDX02G5NHLS9CTajD0/Ao8fWZxuEnT2yhmAbvEz+iQ/8qu0PMneGl8Fjj7I1eOM5XQgRw39fPQZy7I9zz8bXvl35cWp1nYmdvtzwPf18/onClquK1+H3PGnA/H8AuSX1I5aH2lZ5teUXR8/76fW5jnW/5IChDjEMHufBS72I+0GOWHTEMj2LP+g+Dtlb26/JBxAdB0blldGbs0zGYt6W1yUfZb/JUfLm9tfA/xVp/3qa2GP19O16+s19qV+cj8F2p8IDd/I+HvYi+XLMwRD8JIZgOmw+rVgXD6XXuuxaNyK1425MjT2Wf7u8LeTEGyP/Ov8X2//sNZTWfKB81UbA8UVyzhH3jt6T95+hfrn0/7xy94V2CfXAEhwRzHXjFeSoj7GpasFa7/sDIDSfyUke7H8zjMApfFJfdDeY0iRvy/99PhnY3b8v97+knlv/eqYffwth+QagAPZuwCy1wDk14zlq9aRvuIagByK+bM5Ffzd4j/zg3O5L63udwEI/D2QX0Nz0R8Qe3JrwKX2VDob0vq9Js3Zz8Zufzuwr6N8l47DVn5Y4+tVP63jr/ErPu6ZGQB+sSP6OfKBOv2oKLdUn/KQI3Ds1y0r+Vl7Jb9UfrUe+QNoZoeMFwj/hcUsyV7iXx3kfc7TvClDptmS+tdOG3Kg7Ev4V8Wb218D63MOLPbZCVRFJZdM4Naua7d4DgRnNzL+HvYHdM8BoEa/+fHz8BH4z/Jry8vNADy+V88AFPorfs1qyrrWYz0jU+X4KA274ZTM22v5Wd+N+itX3PXnhg49OgAl/HSJFj3Abn8PcctgOW23Uw7GmOd/jMzYq/n1qLK56/tgVde/B/VzDrrwky5NRm4GwHs457wA3CW7W05Gvx6QHuLPIHdDEr3HO4KcER+R6bINyijiJ+yL+An/28UP90kL4Ok8t/+pPuZxwf86ex2/i9NSsPcXn2eNY+Te0PK3jl8qT8o/274Uu/1peyekbHmo3FJ9Kf9u/zgtRen5Vgt+9Bdvz178WT8D0MJPPHq9Utrf3+GvgzR+1+apoUYp/pyz4ewjtY9Sqhz/fAjTZ+DjfSRjzsRey8/5b4n/SekReJDPXwMauIY8XqzPAnuRn0xz3JR+tz9v4xG/x9prgHo2Y+imv+N+DDxqX8pez0/6H689p7EleqYtAvvIr1CP2wSViePxkSbmSMrU8PeIH+O+M6XiK/rxIXgbIAa9eOBQDm5fc/invn1AFHbDQr3YLcK1psjflL83PPpA+JMdOijsTbDen3pVck1l40NemphpzQ9QHj/OS510d55rv7e1W2hfxF8Yz27/cvscHED6nIOB9qNQ61eL9rfYjYDy+PoHb5kBcMc8+71hPkbPl4cwmr837rD4+LIzAAr7mYh722kAcY+dOyj553dJ9hL/XOB3tZc+v81q3x+7/aW2yenxvlyemvK5/Lln5mn0Wn808Um+Ur5p+Tm9JX5rfsrXZwYAr/P68z8H6FqAs8/rAB4D99gI1wAUI7B3aMN8tN7gA7Iv5kf+VyFnH37rkL/vkLZHBNR+pfYSf5TX2eRS4OttcXGiLNiXonX8kv+9Ucq/298mY1jbf7b9aIw+/lqjm//XcwCoZ7xz9/nfedEIMtGn5RZfBZ8be1J8iT4uo4g/944DDT9h2zr+a8aB8++4NEH7LIVCe4m/K+LedsqP7+OmkR8b5uwl/jWguKa5q30/7PaXrkEQr1EYXD65Bq7U4zV4aY2+9XHbgt8Sf4v8NHRPAgynuUP5/uBpvUPZrvvwS/UZlJ160ei8Ql/Jb42fk8+Pt0iWJ/vO53I2fok83EphfR+7FaPfBy/lp/QebGOZ0L6GP4fd/rb4SyDd907KnX1qgdLrTWplK/8MlBxf6RXtcUrllcritU3vK6/I/Uv8cnn5+/jl8hs8ByDsI+AUmP2RDe7nlsoEj1au4ruuzqViEXg1Nlx9p/n8/f8c+yfd7Z/GR/HmbOpxtuPt11n67Tejb8Aaprk8dfZaP+8w7+cAxIeHpK/jbxk/dbxIehX+AO4x5z1exHIIqTOB9D7eVTwC93hHqT9C+YX6Yv7O8SfXbpR5J0JsbYHf5MR9ONq/i6ZAnmAps5fKk/LPti/Fbn+bfVKez5fX+n761eIfjd7xt6ufcTMA7TH7jvvZ/BKs/jWKr2YE1ITW4x2xiMNLxGaO0KlWX8nqbe1ntQ9KYlKtvpr20+0flu4NckNHyusbr3UHsodgfojQx0U8fMwMAK1vwG+Kn8p3yf75kM/P4h/AM9Tn0hDS9V6jrwebfX/abH4JVv9Wj28jA+v68oj16Y08vHEDSNuxRLbyt/CfQ+n1JrWyhb9n/A3wDwCWngGw8vUeAa82I7IRQrpH1qpfHVb/fz3+X2//1VBT37m3M2rkFj634m99vNlj7H0NgBlWvu6r4J35Bfj+FEvzb2xsbGxU4poBuO5pB0oOMfougLYj8PfxC6WDcyMmilblt6LZGu/GK7F6+1v9W81eKq/wGgCVbEVL/tL4a+qrRP/MAEAuvUtx5z6uVKwP15EAoOY++LYjcGnRJtU34TfEH+uRDGipiMtvxWz+jY2vwlm2a0TnoPo+eCt/VpbyC3WjfV5B1+cACHlM8S/YPbW9C+B9I/DZ/HLp9VcZCE8CbMnvmVSlx/3pUpng0cqt+E3x/wB2+9OpVm/D2Uu//VLKA2Bj0fp5hzX0OQAaaK1Lj1u1V9eTAD3E/S0s3/tcoEMzBYk+RdEIXCqvQv8qfgn++s9XjrVR+5XCzL9RBOv7wWfrN+bi7lxw7SfoN9ZCq/OtbBRpmwEox1Pe5Wfsr17/Tv6esM8A6KmYNKMP19ToIiv0KGvuPvCm/C1GgNLocGX9bv+4fGX75waiEn+g81E2f/XaI3ZS34j//pzMjaD6zq2d4zX2229eH5s/fMwMAKu38lfHf38mjhd/P7nRk/rInsUfO+rEli5Kos/UPs6+FGF5V317gPS15JIeQ+lfN34J1vpT2GdnAFrzJ3oXb6W4Kjms7JGw8pfGL+Xv+X75Hvy7/fu2Vwj8FV8qz0BUP0yenJ+4bkvjj8ow8i88p/IH4MGBT+Ng54lc8pna1+oAesq7/Dy2q1IfHyDSO2yPofSvG78Ea/1pvoOJ9hvJLxXgojTG2dt2V1pqf+bJnJoj+Dd47PYXfNfEZzz2WvJL9+dL98/j++wFvTQAKUIL/pr4pWP3YLK0PzcD4NHOKxztNQBA2Jcei2F57vHz9jfSX5XP6Qu5V+DX+HehqnzUfiP5cX5Jbo3R7/8ujVdyZ7T/Vv7W8Vvx9fafbT8aqx1/pejm/z96N76/29/vfb+eEQAAeA3ZPXqg7D2or4I/ljWC8hK74FkFxDMLOPu38Ktw1TNc7aHHwfO0X9XdBAZ+DfJrjPHogx6j5exBrevJv8Fjt7/Fv7w93q/NZ+HPrfFr9Rpfe51vLa4JKY1fqttceRpfn7sAEPCswCNHe6/fDBfn5O3J2YY0nz+Gl949Y2m81IZHr1GprP1L+CX4+OMtqn+HYx7+S6wXP+gPCdben7a+Ym7JxY1Zs043+n3wOC/2n8rTEq35d/v3ba+3Q1M/uXbL2Wvavyf/+sAjwkfW3ffO2ReNwAM+/v58+kp2zv4t/FpUjdwJu1blyAZG/Zkp7Scr+/1PJ91n5N78dXp/p/RVzB7l4+2t+jp+SafRkw58pP1z+TR291XjV/7Ab4/0Pfg15SiNTr/PSLT17+G+zz9mfsrxynKq+Mmi6qE530RwMwA+7tc+8jE+BgdM6rL22hEwnnFI7bIjcNb+Lfxa4HpW2yGe+mFYHb8J94HvaPlX+elD7T36Vvhq+9/8Lp9yuK5LY9tP0Fv5W2F6/U/mv9DkfCOuAbjWryEctd5ycA0AmZ7ryax9qYOcRX4ELtu/hV+A67P+vjL/0d+8epypLNuHwz4fySP4ZwPH23vttDW+1P7WNontn2vM/e01LffhB7K+cXvIoK6V19zvIOWrLUdrVx6/VB81+vi4/0sy3OvU3JYHPeINNqmFXVZM9muHJbVozm/9lhD754vbrwAHEN2ng+WVkVu7HDEGmc3fAm9u/40H1ROXyK5VOb8BvF6tXb9uY49zcLKUastbjf/j0NSOF1KL7Sj+Wv2R4+q+e0LuDRu/Pf4fb/9wfEb9QVjrT5m3rLCn/AgUQ/i19UHWkZBqbGv1Vv4avq4grgE4usMewAUj90AGf+5kUtE+B4+HEY7RMyNwtf2i/KW46n4WWvP3jkUq/9f5Z2N2/MvzT/9F+G3Mbv/lgK4BwGv29/5wTR/4awBAY587xs9OAnsV/t2JYEbeavtF+QuB61lth9qh+i6ASn4LrGvY9jVgG/9sfN3/tdvfRX/0Hrs9v9bcn//tx58VJfEPuAYgVnLr/cx+H6hr7AlccwwegLwPn1t7d4X2q/Kr4OOPt6gu3LgIZuafDPx879zzvldDrtlG1P9s/hZ4c/v/MqTnMUj372vtObsh/Lx6AXDr9fT+dN27zJ7zAPgRtHINXrZflb8M1SN3D2B+EqCB34RrndQzsqKEoNsdy2P4rcD+lvn/dv6vt78PNkrWlhHOf5TaWvkjP5KS88xPfdOyznOv2N+LP94TCPkDsYeemwE41+zv/WhN/8kNyR69PenjPU4+bM4+UziWdieTh0DvCu0X5S/BfeZ6oVJTUO1Y7JaBny7PxSmnv3Affj6fr7T8Wfxfx+z6n82vhTQJ2RvT+T3iRfKv819odTzh0Tk3qkv19KhXb895o5GlVFveavwjwfk8CT5Ok7Wxdvpn4OPxUGgIvxW/OQOw2z8BW60elc9moxUenfJY7s0floOknAHWSzJnz9mN4o/3ZA34DP6eecjk4dr/3h+8DRBt2DJ5PgDu+pXbU8AaTtZ2Q1k58W8wvwTGPzUU9tmue29+7bpbrvxrTa34Oe7In/wh2Z4fwBZ/C/8taFJ/u/1N8f8iwnag6kdqN609ZzeKfy1c68HxCD0duab6cARZY895M1JejX8kps4ApL1uaYQU6b330VZoj/NS+3ryJ/F79JcaR384gy+0t+rt/Lv9cfwlSOr/Zfayna1+3mJv+eaVjjcV/uJuCT9CT0f5qVWpPQEPT3fYA4Rr6M31K/GHebQyRqn9/RBfN4d/JnAbrNcvzyPxf3CFzua34ufa/2X2G6shXscHZuQa6+MZgHJ73o9x8mr8ZchfT6GxDtPR/PkRoLCG6s9xqL/Ho2X2ZyGhMJTfOsJ4O9L4d/snyK4B4/IL7TXozp8ztZ0f77BHx8qz25NpqA+vAaixP3DfBRCP0LkuHhrrX6ePq7OnIHUtW8ur8RfBn8dXZaEOpaP55QmhnK2/DsI544/9PngbrPHv9v89SOv1Jffha+xX45+AfwCQrOyHq/VZPTjnwuf/ldoTPaPZI/DZ/EVwxzz+tEOqK3/4JLEeeq2uJ/8Gj++0P75u4pGfZ+el+nAoVWOf/o3m3zjwjNLDmgnrj9If2vjpjiX2x/9/xycf3q8eyN6N0Qd+Hsm933XWL8AP6HOBfD9vodLeKjfjh0Dmvi9/Xf91zK7/2fqNjRLcx5O5K8WP2MfI2JeR8mr8GyORu4d24/exevv3XMNfwt4nUs4A6yVZsrfq7fz3oBDv9mTaWr+x8Wms/gOw0Rert//yP+BW+7Wrvz/W6ADsGYB1+DeGYrfGt7Hbfy6+Xv/T4+fWwkel2A/Jr1/UA/pcIuO01N4qt+KfhcWuyd0YjN3+GxvVdwE00mNfRsqr8ZeBq8VRmM1vxepTwBt9sXr7Lz+F39n+K3jrNQDeX88Q3piB2fU/m9+MN/u+Ycfq7T/7B3iwvQfIGmC9JFvLH8Y/rwPw797lr/+fT5EJocfPASi1pzB7BD6bvwgOTPfhhzM0M/jnY9+j/22s0f519+Fr5J7PAbDzbxx4fqRL7+O36q1PAgx0Nfa3l1Fd7HcBKOX7wykUr8EH7TeFH2K0el/7W/Vfx+z6n63f2CjBfTxZy/EA+22Aq/CPhHkGoC18nCbTV431ABBPAU/g3wiw2z9BbpzMTe9q7RfkD0YTKr0kW8sfxl8zhd/sXQDUWN6lvwoO6QmrUnsK9MxBBxk3hBvML4HxTw2FveNVQ/hN8ACm97G/nf/rmF3/Vn7qffFfAhV/+NMg6SVZY48xkj/SZ3zqj3hk/mxSPkAjyHJ7zhuNLKXa8lbjH4m1ZwDyevP72PnPI/kDJb0e+xU9fK39Pdq+Bil+a/2sbm9vf+l4UyGYAYg278k1W34GoMb+2R/m062hO6R3hfYMZvOXIGz4qjKzMwAD+CcCN8LbxmCJ/x/jt+Ln2r/Q/9n2G2uCG6XT+9MRZJk950GYj5alVLZflb8Mcn3m7B6fbeWU29GFxamwhur9wXylZfZP5Mm+IfxW4DKGdwA68H+r/T3aSLBr6B6Vz2ajFfgSLO6SrF78IMevqp8MVre3tT8cbXZdA1BqH10DEALPBOT3u4va1dlTcId/R704RgYhVdhP5ffICMsSfPzxFtXdcNSOZcZ2fi7+Eljexy6913t1/hb+W7CC/29vf4B0TfgrkNbEQx2VBxRyzp6zG8XP6efDOoLfMwBvmgFoX04TcOVd+6+eb6A4esJa+8DcJ3vG8Me5SkcZeBmdXVbvBCs/Hf/I+n93+6e5S1vfX47462OFfTU/F79UD6f+9puRRd7Z/Kw6fyIhfXK8FdoDAD8D4H3UL7nkSOeBTEX72CfyGoAn3/O/C/TsCFxtz2A2fyGSay20dhCb1XZDa/nzhSr3c/fBSvZWfS/+r2N2/Y/iT+xRKoGzGzWHYOU32+NykNwbs/kvNPk++Zfu8h7Aw/N8PyyDc8clb0wq2fvc/iQeNL50l54ZgTutPQO1fSf+Ulx1PwsT+I9j5OpxprJsHw/7krXazvyzgeMtjX82vtT+1jbJrwG780/K157fhsdvWu6NXvxpOXH9tdFDdNz/JQ3krtEgt8lh2La0NEqWUsk+5/1MfvGMkQp4u/0IOABwnpeH8GfkHKQ1yN5owW+JvwXe3P6/AC5+qR6ketPaz+QHeM4bapuPZJQebfIaet5e3lJvOC+pVGuvxWz+jQReSC1ljOKvhwe4u++ekH+d//3tn7X3wh+Etf7Y+QJ7ytdA0Z2/a/0NgI3fC9tg/KW7ju6wv6ersQz+3EmmRx+Gtc+UG8qxNxSkkbdkr8VsfgFX3c/CbP5SSH3sNfrgG72w2//b2O2PQFwDAABwrc2nsvf5awDOa905e7xmzMj8VfR3idkROGcvXbWe5mvL3xq4ntV2yJ/quwAq+S2wrmHb14Bt/LPxdf/Xbn8X/dF77PbY10cew7+hg3RM1ejj456YAQDILW5ETegDdfTRuMjlzxmRYM7hkmMeZgTO2isXebrxP/rIiKjHLHz88RbVVWxvHxO/NX4rvIun27A8hN/xcg7SGmRvtOBf4jkGGbkrL7Heu946cB+0jr+2vlodf1XPjxC2NcCPEPFeep91hLlnAHSoHrl7gOWeBFhA6sE/vFjO2p7/P8M2Su7H/3jhM7Js75H92OG7ld8W/3vb3wdcT415tF9XCgT2yhrE6/AZuQt/q/jv+j7ttPXv4Xh6Hnf83fpO/CuCmwFAa/HHM/88xM+2R6NfD48eCHsHgS0ENqnsbhsX7QtKjPlcoiXtlTMA3fib4j5zfXHhcT244P8x/CZc12s7Rv5Vful+6dX1rfD29ndC2sv+/sHl2k/QW/mb2b+8/Vuh1flWNorTzQC0w1NePDpPR+D0KN/qz2z+nqBnL1aBtLZapUcjvvs9bsQIsAv/4wUxAhEQjpioEbhH+Xh7q76OPy5JjP8H29+jTdrPlg0elc9mS2I/bNEpf3x5oXyt+Svip8oi6pPTk35n+LPHbhP+QuTKavYuAGZUjC1dlESfqX2cfSnC8qJjBPnjkN4T/kZQ+teNX4K1/hT22a73AH4TrkoOK1sLfMjXrL+V8lPPGg/5qTwt7a1Yzf+3tX/Ig+OldL+Ikvg11wXk6itnr2n/nvza8gfgD8CDA5/GwfgU5rw+U/taHchPeZefsb9qPYbSv278Eqz1p/oOTdtvJL9UgIvSGGdv211pqf2ZJ3PqjeDf4LHbX/BdEx+jw3Fz9dCLvwYSX+/zbQa/dOw6cKpjmN9/zQCgNX/wQPSJANTXALD9IsjzhDIqL+wiugp9MWbza/y7UFU+ar/h/BOB/d3+v4vfiq/7P9t+NPCPZKk8G938v54DIN2ff+/zz3MA8BpyoiegfA6AqrwKvfYugNb8gHiluyRU12U4544eRu3z+I3XABTwl8br8RpjSn7+7wIJcSrW5DS6nvwbPHb7W/yT7d/AH5YT8uFyJf1b+aW6lbhkP5i7AJJyDrhgbBspPK1v0I2SiijTu2RPmju1sPPjcgtlXJ8+Vt0i1gvOqWcAzPzG+ClY3sfeAqX8yQTRYL0Vq/n/tvYHAHbN2xH6lpDue291X3yJH1L8kZ75GdOsz4dlc3aUHJVh5J9xvpaAu6edGhlKo8WcTU1aw8fri2YAKsrn9FUjYEUnsuwOjvao9bNMxv3cUjl0pFBuzW8B6m2/Tl+Nn2n/qLfMeNfjbD7KxfevP34y+k5+1Otr899h3s8BiJtH0rfytx7UceqJz1x+Fn8AAO4wuCdysRyiZkTMlauQ9wxAvnR87cZgaPl7xf8K4Pt1S9MLDqUYq+pbxb9hg3S/+qz72TfqIJ2PenxnBqAcs/k3mgK1RnIPba9xjyV9O1aKf0b7x6UXjYAbreHjctVy42sIqmYA8Fp3IHuAe96C0sdFwF06MwNA6xvwV+Mugxnhq/Us/gE8Q24uDSFd75WzqUlr+Er0Embzb7wc3ri9HV+PP0T5BGSb+rNMwLVsv5r4c1BPlEJ9/C34F8Y/AFh6BkDC7BH2bH4JvWdA3o19j/63sXr7W/17u/1VBvd2QY38Zn6pDKv+BdcASJh9Ak/m95ILVv8Ee5H/4zA/p/vllfv1+Dc2lsY1A3Ddsw6UHMI4A5DlIWQRZSPU8rsA2vB3uwsAjmcM8Lw+96houXzBXuJ/yukTv8grOGfVW/m3/Vz73u2/YYe0xt5zDX4Ffsk3G64ZAMil4VqSC2UMrHdRUp3mUDZCaL0Ipc1tXIRC9RnWf7TUhvXmCxCckT9U9FiEewGcZbOu34BtDG21B5gb/2qQ7q/PPbe+dqPKLZFb8Fviz+F6F4MqX2X8Lfh/CXicxu2b4Y8u97gZgKd+6kbA8kyIHE9uBK8pX5gByPI3ix/1p0vl0KVC2cof9o9qUusA2FZCWw+q439x+6el5+rTXt/Zcm+/lHIvP6r1tfnvsH7qOQAlMovrSYAe4v5aOIbzYeqCvGiknugJUDw5OQeJL/L78TRXfKQn7Iv4Uf3Uj4AZj8NfmGz8jF6aaZHsJf7e8b8FuJpL0wvS/fHW++tb219oFf+GDXfHKvd9ktFvrIVWz8vgRnHX/lg/bwZA8ofWz+QvuZaBY7TYS7aa8ltw94k/XHNjS8A6LOKiE1EuO5vHeCBG9h6lqUM49ce/SfbQOP6Ebv32T0zyY7OiEaXEH+h9lM0nPKS+oHy9y5XxU2vsYX5GH5tfFpBkkPRWfjtwcR7O2Ypj1oLS6/CXjr4u0Is5eJzG7WsO/9S3h6fb4wR9rrwIivyl/NahjMneow9EIdnyFfYSusZ/VbKqsTuglN/6fvAavfU5+aH9DP9zeFv7A9Dr8tR6e2uUTbidcuOfMMzTIn5t/qr4G/JTKD3eO5X/DzrNACRd68LjieqaP2+fg/t36VknjvVilToEMX85/9QZgDssPr5s+Qp7CT3jj0cfaQbcI6fB3ycr2Uv8Uvk6bHu+fY7/V21/j/5KIdv3fj+9rfy28R8sDx/mpO7Dbwmp/N78OZ9sXLkZgHPt937e+/Ub5y+Dy+pMIz0uMcwT7GZl2t4FG8WX6gkOLZB9WLaKH9dPMQT78Kyiz0EouUah2F7i7x1/DsmUmCuUBfvZkPz/dX4Ju/3Xth8N5udILc9GN///0buPZYVz3He9zx6e99u7O1eQulDPzADgsSQrSzMIAQ/3zAL3+O8eK/1dAIR9EX/vGQD3zDjQv7/OHZfSp3p0lX1ylb5kr+LvGn88+kj5cY+cYciODXP2Er9Uvg619nh9trQcqz0upxa59jn+X7P9nzHrZV1a/7K9ZY0e78vlqSu/ffwl/mjiy/On9rP5qTyW+ZUDf3QGPCuQjmoBzrkBtPMeG4N/9mNZ9k+0x6PDqGiPdj4/6Tgnwqln7ZX8kk5Rvsr+/HiLZLxU+XE9JC0r2Uv8Wv9r4wcA0/vga+/7tfA7iKsd81N5qu2vnhOUxxUitB/qv8K3t7V/yEOtebdcD8b3p5eWa7XPltsw/lq/WrS/xQ4gPtYbVG3j8vn7tKXRXLdrABi5bJRZNAOg8q/Flfr1kOOh7+Pn21dnr+XvA9zvJa/7xSZhyl/161F+sjwFP+fHs9dnZNr+8Q3TxXvCfEDup6G31/HzXHXxM3RLt39aSrhJ+/Ml8TJd/n3V+KUN/PYAgV5unzx/zusG8d9+n/m19e/hvs+f5L/1nfgbQzqfVaiZAfCnQKbcqC0YS4YqVmbsEzk7SkwgdYf03aU6/ta4r8/g9Jn9dPvq7LX8XXAf+I6Wf5VfOtS4Q1J7qLa274W3t/9tx6S97K95Ibb9BL2Vv5k9LgfJvTGb/0KT8425BoBHcA0AmQozANf1BNcGqexy9omc8uG7F+i7GbIRKuzXmAGgr08IYfVLsK+8P8CCo4949ThTOc7L78NraJq1Ug1/Sfl0fHZ77g+Xz6U5+xH+5+xXb3/KrnR8aLWnEa+o52Qr+saP/Uz9pu2l+HB91PFTx1Xp+aO1rzku4vL+kgKkbqRQvDADAOniBL1YUT8DoCs/H4Hev7kzADKsfq0alwkOILrPGctD+DNyDrm1SzwGcd4WF2Vfws+WC/Xxt0DP9g+fDXBv8NQN9VWE93H2o+rXenyOir/2uGl1/NXY4fvzlffrDytfu8ZfWk7pCH3PALRB5xmAGfC59Ozbeh/1dJ+nZkllCPYiP+NrLegB6OWKJ+TeKONvH//q7e+FrY29R3alrY/zltry/GPiz6WS7xa9yO+FPyk+0V7jXb7+IiTXAChG+P7MRqV3EcyI/cx7d/nONWQsS/Z7BuDEXR+MjP1K9EJ5kr1U3moQD+8Rv6Eb0/Dr7S+N8XrrV4fi580EsYMh1a/RvhjJNQDPtf7sXQC5awCk+/itzwHgnkEwfKRK81vvMijVX9dQ3ED1mVzFf+rZ9lXac/xD4r8HAml69EfiJ2Tl7idO19rK7KUUl6+BxV4aP1DlUXyWMUjv+FdvfypWbeyt7N9e/nvtHZKw3Na+pt3i4/4P6Y7/kvvlT/nWh/lJv4h8XhO/2p4cgePawH7i/SSvzp7j95Dppl36TPlF9iCUp3wOQCJL9thf7E/n+M0g73NuUXAJv+PlHDLNlq7Xgy0uyj7Lry3XEH8L9Gz/YyITTRz6uK5y8WvsJVjr13p8joq/1E9uPVy7Tt7iuHXCZoW1fMUMAMoL5JhNWsPX+SHLK80AXE/U43zD+rTMUnt5xJx7DgAuV29P8w+L/+i/+tsslgHSr/O0Q++D/enQNmev4efKefayvTiVvUf29FCgRweghL9P/G9qfwr+jNczsmwf19gte1Df5+4vYiRr7Fl+tf/G+O/6Pu2QnGOmveX20/Y8v1wHvfXFCGcAPED47Pf4HQCX/OjTUTAQOojzeKRiZcneIX+Jzs2VF3NokbWn+F3oKaT1g/VEmSX295nr47E0/uxTfdwdDMpV2tP8g+O/d/tY7g3MN5pfi9L7q1vb98Ls+uf4L3D1RV3DHqZW+1HXL9Cn5YPh8S/S/qNPk1bn5zWKu0Zfsczr4e7z7hmAp4Zyvkm+Wu1zZWr4Su2l8vrGn1179Vn5Gfh4JOvso8+5oQsz2cGNQPT2zAg88ukYm1wfRV8L7NUzAJ3iT31F+6a0v78VSXXc4+rHII1fbx/lSXRnjkDvI80T91O+90X2JP/I+KOaSGXS/tFzdlp7jp88TiI5f/oV2T8zoVKhFM1lE7wNMBwVSosI8ViM6oEwI3g1JHupGyoC11phARQ/55PWV6t9BI8+EEbZ8hT2Unld4/cAyT3GWsQTIKmsAeaX1hGxDvNTeUrsyZPQ28YlnD1Vf5SPIVrGH9U7rNH+pfwAfH1Y4QDS5xwMtNeUD2CPv7QdqZ+y3P4SPnxsYkj355faS1Dm/wedZgBGoZrbIRj58QyARsblWOy5+IIPWd9r7Fv6X2x/fEIDE/w8rvhTqJdkyZ7mx7A+V01vH/v7dNGvFMh42tlb/S+1X7v93W3no/rUQmPvUBuV6KV6sJffP/68vRzf2+3x3Sp15YczANda75k6Jr305IhOaiusl+ScvQcQ31fvFGVKXNnyn/6aD9+D4DVyXFaxfehLVCeEf5Reaj/JHv+ED44/C7weittPlAX72ZD8Hc4/ll7E59r/Zfa/BjzGHi1XI7wI0AEA+PR9Po7Rgz9V/ml/ya/SEzFnn/jD5K2tK8k+4D8mRI6d91fH1U+6ewhY/xRcZQ8O/LklPp+fvUc7o1iE9pPsHdz8c+IHcOc39d0ncc+MYnwfN9ZfRSJZbX/xOlxDEXD5pdDbi/6S+nb2Vv9L7en6X6f9HforhWx/+YJj0uol2MrvH//X4cE777yznWN/Z1lRwTfIsZ5PP09sH3Q+Ezv76l244xqXI/ugx0Tqq+1PmT8A8g0j95CEhr35J8XvAMzr3LXA74PHW5K/s55C/uBoaz86flz/o2Hlr2nPX0KL+KW1dCmfVU9d1+ICG0Cfcaw5WbIX50BBVb/uKMvBlYZjSiql9DMx24eD/2gNB9GIOPCslz6ZAUi8i8spjy5vz/kzKn4zmk2ldSrf9PPtji+n2jKs9kcZ9bYt7EeWf5XFldlbD/54eRMbEtafI0jH6QvLHx//Ih2AYBjsn1+DaNzSQ38PmyzH8F/IhDsMVErpA3h6N6uXZLF89+ybkh7OuHPfXUPIz176590JdP0kVVlYv5L9c31In/hUevzFMDpdFZnTdIj9KKzS/lJ99dLf/mAZp1L+UvtF4v8q2tVH7mprjX4mZvvA1cVoWfKvFrU8A2X/pPh+YVH2hfmRLKHmHl2LPbo+33tUb9rnANTaJ+WNiH/h9h+C0B8PqX+99fPghU3KZ9U/W3w7CL5Rppu+9HxMYZ8BmH0YTO4Pct2w0TIHa/XU8gyTo+m40fLig5FezwFYCbv9vwsnbFI+q17KP0q24s0zAKtgzwBMkq/ecF3qjfYSrGfI28+w/vFPbn8/+S+oI26E3lW/QPxTcfrhmbS73grrDICHuC+CZQwpf4395ZqfkAbcHvk1RBbrD1Vmaf1K9kFdTIt/Y2NjY6MWewbAivQJivE773rrJb+scWnzTYn/6AgfHWPwvkj2hfmRrKgXufIa2mOXJLm1fVJe//hN7de7/YcgO0IfoP8w7kOAqzNg9jfS2w/BYwbAM218jrlYPco3HJcbjpGl/Fb9Lbtb9gDgk2cTddJL/va+AmCl+B1Aek9+bzlfPdNxVNY8+xEY2t4+bfuZ9TP7OoRV+LlNytdaP0s24HgQUFg29a0m6WeB+Z1Q57fqb9kHu3wgOqSN9U9xlfZiU3jS7UfrorTUfr349c96P2VfmD9e/0D3Uacw3UMv2qf8hL8eyXm+IvtF4mf9693+q+F4Khw/JsR6XH+l9l/HcfB4d67HB9+GY+SL3xJD+ChgDxA9+51MAz1A/JmSMaT8Vnsqr1SmxKXgCO9Ld4lfcZ2leoN9rj7uPJ5pL4fSUvvF4h+eLv5VeH0z1H5DWO1HYVr7Iz+k+uqlx8ejdLyqZWX5Vv9b6TfqQK2t8lv4NsCNB/jaCI3c0j7nl6TT5NHwzI+/dA07eS96ob2EqdcAPGvWtL6DfVLe4tdAGNvfn9sjQbQHO9daH/Mj28tX1IB5lNmvEj+3SfnMev8k/s4ZygBd9atchvJGeITZ/rSGNb5X1s/EDgD55RGUz325tLJP/fOnXN8BKLFfL36N3LIDWPYDlsZj/YFEugEdgDL/RsQ/GMFFgB6eH+b0MEn1cfzl9jE/5ZrifAH4B5UzANQIrkSW0Lv86zX3NwrNKeARtZS2to9wh8XHly1PYd/af3v8494Hr4N1zbjovXtZf2l9O3ur/23sx7W/R38Ykl6CvfzwbYY1yNuvH/8IzL4mxM7/dyzlOIDnufJn6piUXhN2tBy4GuuxPVMeay/xBTrMoYXGPtLVLh4a7HP16QHy12wI5Yn2UnkT4g/3R7IrlAX7jbWx2z8PKf6NMjA/V8PkdjhGV3iV9ZG5UdjrZgA6AM+OpCk9e9LKni6Ryo15uFX1stn/+fEHc2M62Rfm58caHm1x+Yy+oX3k3zV1H6V5/632S8U/of0fr3ya76rHIF8aT5l93ofAVx/vPBK89IHqQbLPcs+MH/nOya3sg/3+FD0AunDmUER6dtPbS3Flz5fH7g/tP/5z16zAhVO+9afWP2pHlsPIEhT2JD8ONLIn9pO8BfY+lt11lLo4253eR7Fny1fZM/xJHOzzAuL2dbFSYU/zLxO/hB731Tq05fQXJ6DPWvuS82jUcwBWjJ+Dtf2l+8I19gB8fVj5vYPoO6sqvoz9qvFLfmjv86+xD+Oh7g/Cx292E+xDztCvHJ8WewbAAm4kPUqf5s/NAMjlll7/t0z8OE/aoQ97IukyYt4+KibrDjdwQF+w2ZyZwrP812ih9swQ7ReOv2/749FVXE+cz4+ejr/cHm0evL/HykT93nq4/rsDv2Sd/aLxZ46jKA72+FPae3/VxPl3yoJ1M32Gvxh/eIe7/3dorwv0d+qvj4yMyn30IMiSvcQ3CMh/qbvVXC/UZ1LWqWfbV2mf45sa/wjc9yNjeZAjWn50qhaDs39L/KMh1Tdbj0y7lZY/G1+P/5X4h3dIHQk0A3BfH87I2M6541Fu1wapLNlLfN7nNwmSvc/5X9cNK0KWH/D1+sgj6Xr+RJ/aZ9tvevyxA5Qcrm1SsmT/wJ1/QOahylfFp7ZP+b3yD/OU2q4cP1UWrh+u/LL2l2MotbPZ0+1B6Y/yeLmufKv/b7F3UU04VC/ccVVy7OTt8/xl5f8lTgnlcN0wvSwtgIwpn4dkby3fijJ+q0d0ie+Jny/C83JvYFd7VZ3ztris9my5MCb+LL+h/XOH3rV+Hq0XBzJAPv4Se+7Qt9avtrzV4pfilOrLaq9B7fULlB+U3KJ8VRz0CF0h60bovcvPR8Zv8nMSZAYLSvmt/qTlLR7/0bcNV8gi+SqGSZP8hD1nS0VurY1cmRr+Hlg6/gHtL3uc26T6k+0ldo0e59MeQzoP5sU/G/i4wX9eiE+2Fz0QNoTkGgAt3EPnAhnrmfx3N8p7Ui4tL9TXdg9L7Fn/FeXb4Ar5rR7R9f6e+BGkPvD6XzEbFljbX7TvfAa0uFfFopcwO/7eegnSPJJY/0b7YiTXABzAo+V09MyvwUNOxmvMrFxanm7kKc0CyLME0pp6/xFwCX/7uwDWj/9ZE7s6C/Eebm0tXgfl7UUPs+WPsef+cPlcmrMf4X+9vdx+vduf8lUbeyv7t5f/Fvt0v0MSliWU2de0W3zcMzMA8iKHO8q6hUjrz/8cI8s+ivYyPyB7gPT5BhinnrUXeITSZf9kUxV/FC+VT2jfjP0r4hf5gzam5N6w3oeu5gFbXFZ7ttxB8Wf5M7LKntgArokpNHEYfpc5Pv67DMaeKiNXHidr45PkVeO3xtfT3gmblb9F+cCMEK891Hgx3MfpS1BTfqjnS206A5DVy/7oyqLK1PCDMAPwlF89A5Dlnxg/zuWjNBz2UTJvH+VB63KUZ9zAIS2Rz8ntk/n7dADeEH+v9n9yUZtU2z7g8kGZ8X6pBJmfqd9gvsNfxKTMt8874meN1c9JyDvhr5zXEXhso9D1OQAHjm6Xh3PODI39gs6Evz6GHQyqs4HzgyBT9kT5LH+gCzikblCkJ+wTa+x/Mq6mYtGCsi/gv/33iVlcD472krR/Ufy9cLvlkdyfuogf32ct3S+vzf+W+FcF9neU//cPLtf+gr4VZsW/QSB4GyDGfY/1mUI0IqPW4BUzAKZrAEr4A13tu/5I+5I18AEj4By/c86B93z8gn+k/Yvih3CYwTAU6NO16PT+X86mFrX8OG/tGmiuzJXj1/Jb9Vq7GdcA5Oorvt4hlWn7cf73sS99TgJXnnwfft/4bc8BiMsL3gaIgRYPji7AXUAypvQ+ry9wj8ovli/oE+AWUedH446MvukIuJQfKwgnsv6Vlrds/EzBeFqh+/jLQbJWF/JTeaxwivOgp32IGfFzqGl/cq0b2Yb3red4cX5KZ+EHgPQ5B0J8iZ/IPufvavFLXwHW87/F94fl/nwNv758fv033ErX4FsviazAT6U5fcsRcA2/xF2T5zXxx39Bz1CXMvbFIUSfwo3KmeotR7EUozV/iQ+j4+far779D7/udWqkB1GvizdQF5aP9FSdIGbKGyB0YY43x8/Hpte3g3Q+DCr/mgHA68T+/M8BcW9+0OHwEOgIPeUW5snJN5jyc/yXji1TQGQflh2kET9O8b5S5MpS8F9+Z+s0419k/8L4qaLUss/rN9aG1H5fb38p/l8DHgOXyhsrjMDt/JJneUsqzemfz7hcnWyfAci/zU8eoT/2L40fd34TK0Ef7JDWRCl9wfvsSX3oXzG/h2dsFMbGtTaRL7R/XfxU3sr2P+cQ7hEmLlfSk+7m66OofEpPHQ9UjJFHQRravzH+XGwJo/YcSf3SZaRMC+Kv4G9SvsjvS98Xu/k3/0D+hToAVTB2ALwPvwvLOwCR/evip/LWdwAi/SnfX66MPnUx/2XM6mv4ic5LaBzykHrUASjmL4lP0hv5w8qIZZ0+4/C0776W/NzoCo/JKBuNLJXfmz/eO24GgC+3VK7lt/4+22YAYu2M+NOACuVzZ/yN4Jk/Ir/1/Ly/3ir4ry96H5aV8SnNd9q/NP5cjFo5b5/+YOXtq38AjfxxO94dgLueGH0zfj5/mb4+/jPM+zkAZAeA0zc8/qrQk/8PIFovBko+90Xg1mCp/Fy5CrkJf7w3t7rD621r0NJlm/JlnXX81pUsl3x6V/xLQLq/vvR+fS24KuGKZfMbv8pmxb8RAz83oVT/VdwdYodkSd+oIvvzf2cGoAbHaPRax8aprJ/Lb/WAL/cV8eN+cHKUCHpjP/50Ii67IDU2n/e2FrDaz46/SftHYywf7fMAz/wIoU/dSRhkfQN+XG6R/BPxX4JHskafOz5BcXxb0ZX/mgGAXIo/l8pS+b35bQhHo1Qq6d/NH88kfC9+M7jnlqs2I/cKzwGYGX9vOCibHwkP1Rp9LT8ut1S28mvLfVv8P4A/AAB/RkuleN8FrUyVUZK24Lfh8AIAyNSJeis2fz9+J0yTlT1fiyzf9CMm+SfaW/3/8fg17Z97O6BGtmLzz+WXfJsJO790DYCHcykBE52yvz7yel+y5k/Idn4qcD3C7mCS+mOMxOpt1Jt/Nv/b16Gt/n89/o2Nn8Y/AADv7+e+A5LvL1dmjT377H44v5yJctVyC/54b25Zkdcz1yck/PRV6LjcUtnKb8dvxi+t8ZuvAdj2S9trysdryqWyFZt/Lr/k20zY+cVrALixlDv4b4EZgefHb4q0BX+8Nzcm4PWkjwS/jrdUtvLb8cn4PdjGkIF/VRs04J9tD/De+MXyHRR9A0vPZS99LryWH5dbKlv5teW+Lf4vIBxRUZ/DfFzedfibzwAo9d1GwGo9BUvel8aP9+bl+9JifFkw/Yf1SFGetuGvx+/FX9b+KdLS8uWn1rkckr6W/8wX1ItKbsbP5y/T18d/HQ6ePC7yen/Wi8cyTpn8VnTl/7uMAM2Vn7KHYA2eGJnfdrzeU+UWyC3505FlDF7PjDAjfiqly200Albz07Dk/YX4B4FzTZu2gnR/fa/771eJ/+u4fyC49hf0XwOuh/u49EyK9Fw5q/HnR8W/NQPQxg+q3Lo16Ln842YA7OgzAyDcBx49R/EaFHCDakJvfA5jY36P0rQArP+t+A8lJsCFZMt+En9JPqNPi+FrP6s38vtol094JP37438OjljO6aXzJeVJoxHssxjCf70NkM3wdCvC1vGJCae39ia78eNqERx1HtUnyc/rrejBXzQD8IPxK0ht5YT20vu5Kf3s+/i/Hn8I6vkE4Ven5vkFbH6X6lvy2yfgdvytIZ0P46CbAQg/a0bglH2tdzP5c/7U6Ffirxmtvzx+rC2VS+GjT+FG5Uz17fjlEQGl/6X4a+RYc40L/fUxuP4A6VWe5eqjPX9N+7fkp8obFT+OjWv3MJXqS+Mxby/H35f/hDQD4MPuSThidE/hDu0LS4vsw/x6uSm/Gagw7G/3jmNL/pIZgB78NWjEjw+Kve75LXy9/b8WPw6vVP5Z/BP0LqwLYgQe3YdNjCgd/n52rkxuy5+f7ZD1iRb7O3oEXMl/xPnUlxx3W/56tOXPrqEhfcUatFh+iX+bvz1/vX/UMwJHwsaP4y6vh3fH3wrW43sW/2P3l80H6dLIlbqjnHsHMwI3N01bfmlxR178ibQ+3amKF9sR5XTlR3G6Qksz/+z4tff9erCNjUJ7B3G1Y34yT0P+2fYrxV9z3zflP7eGzRWVW/OW1oNb8FvwS/Fb7/u32gPEvpa2Vwt+NRfTxeCuwtbaz+FvPgNQrLeiDT+Os3oGoJK/Hk2uAeCvCk4HRrmjRZeB9sJn5D78HqWUV7H+t+K/mPTtT3v++Is3yT7Nn9/flt+f9XXnDurPI30P/tnxg4f7Pn+S/9KjevD4OPMe5/QQ326Tt5cwkl+aAfBc18Ld+uMj0//A9h5lVcgt+aXultwdQ1rsb/fJqDb8OE59N/Q34jfBB8deJA/gtvA7lJbqrfytMJvfCuzvKP/x/eKl+laYFX8p7vOhckzzCvuiawBCUGvwCnvnHHi4R5weUhl/nzflNwO9hx77b32B+ebvzh+uFYd9Yyql9A/o9Ue9fZ1/Vv6S9Nfjr/HvvXjqy589Z07+TUjxcdcVcLIjpFz+Wj/b8sfH/V9y0LusyO7X5ksXP/KLIe35BUjfAvd8A7NJv0Di+Grzd+W/zT0v3/t9ff87Z6+dgOnFP9t+dvza9mfLZbZSO2l/a/5WeHv82uOvhz2+dqHmeQBW/0vQ/hqAaARHbL35rSjzvz02fwN+L6Q4X40tt68Em78tv2Qr+WvVW7hb8VP5au1q+GfG36r+6uGFbTDwNQAe4r6EB2YN3wly3v7utnlPyr35LYi6ndh/W9Gbfzb/yHHUxnhI7dtbb8Xmn6v/OaBrAK411RsO/55eenoNXm9/6eM1/+H8CNIoMtFj/0vtJ/HjfNpR9E/En1kD1sg5vMG+ZE18Rf9bxv+tawAe4Fi/FHtLzK63Gn50DQDSgYd4zOwYvTvlK5MrtGd8m8svjiKRPuAvssd2tzyIv3oR7kfix88Lp54ffpVvOcM5+6LnEHTgn20/O35t+7PlOnortefk3vxWvD3+mc8BwF+12q/eVvxCyckIKpW8T/eHe3X2b+H/Tf2xXTnRlfUL+NdZHw77jv/prjS9/9pzFeTRfsk+/WFif6g68Wvxq/Fr25+DZzattb//p+Te/FcJEJwI5dZvjl84/vBcUyJ7D4r78FlZdm8cP7oGQFqDf/Tu1oey3h6Q/SR+iPOCy+Sh9KH/NfYT+Z8scd19In4LrrKT93Dbit38L+G3Avv7Nv+teEv8+HkTv2qPR3/xKCr+lI4eH22ZvezHaP7v4ZkBmOvHBFwDn3Pi6BkIRVWRvE9eswatsGdHIIP4Z9vPjv9pb9T+SnhmK7Xn5N78gL8+Cx/f8fb4dfwepUR+5niW7PVeduJ/DvfgbYD0YkT8iV+scEmeMvvh/FKzYAqc/wf0Udd7Qf+G6dlD0tvGJZw95hvNP9t+dvxafrZcZiuxB4DkOfaj+K14e/yt2r/WHgCqr19oxR944unt0dL5pHLeZv89fHgG4ILUS7fWzLZf0x63ezGPR39VnlWN3pvwY4Ovxa8pLzo2JL5iexT/cP4TeAYArw/7uItG6UHQL20f1+GhCMoU9dTnEvup/FcmN4m/gb4V/8jx08Z8SO2Nx2SJXJq/tWzkl/Dr8a/23oFVkI6OUyk3Xvw9+1/WpzMAa/nXX5+shaJvFkmflL/tX2X/3AiTFNRb9udeT7g1w5/R8lrxU/AoJbNklTl7j7bR/CfiBwGdX4+hBXpOT6z3J2rtCZen8oNzyCKvx/yl9pP5r0/xnu/EL4I/Obf9L9njfFqZ+xLXyADx2u1o/hbyr8Q/Aw5tkxB3AM6vx+g302f07kStPcZs/tIRJOYfPYLd/Eb+511oR1+6TE7X1UrLO73a/JP4f/nddzJwO2yUwQf/v5W/+jkAgQ+Cfml7BKk7lugxf6n95l+Kf2Nj42O475dHqZjPai+ko/jzyI2nfsP+GhXu7YtbfHig8dCq99Fv+0b2zHMAtPKz1dlb5c3fgt/Xp/74z1zOPP49HMp/o2z8OuIJBefxBENWj7Ht32V/64dfxb7lZeTSkXmQeuedxX4+P3obYApv/IFc3t7BfWnY3j64oYOhTE4Ppm3/JvtvXwOwYcXs46c9fzJn9uOyFa3L2/xr8VsL3/bvsMf5tvwdeeIU/vwUzQB4cC6qHDRGSvXofexvs0e41obV+pr30W/+dfnRwSHJ2/637Dc2SjD7eLLz7+cARLgmhpX6n7sP/uv8CB5yB8u2/xV7nE8r481a3uafw/9hfPo5AJcu6EF4KBlBvvw++B3/mULdfeT4r9T+9mPzT+X/KnY92OCD/9/K/+nnALg4Pcsa8j76VnoT/44/in9jY+N7wF8D3NdBks8b7Rfhv0ZFeHu0dD6M99mnI+BvYccfp4DHQ8vfx77tm9jjgbBWfrY6+82/Bj8Nj1IyS1Yp2s/nx28DDLYD8adUD4J+ZfuoK4SrCVP8oH7HT2d98njb9MC2f4c9/krRytxXkkYGAPAO7gnK0fwt5F+Jfwau2MM6mOSJp7dHS+XDo8Zjz7gRfAv+PQKO069BEb+1Zrb9O+xxPlFG1x8U2ycj2NH8RvnH4gdUXpjHM3qbfRz/eP4TeAbgXB91T7lRF43SH8I5pq62n8GPRoBXWYFPESg99bnE3qo38e/4D8weDGwMhzTmwupE9oK+t2zkl/C1+D86BEqQjs5TKR49x/n09ivwE2vAxf69Ux/PonCzJ+v630ZPtD/6JsATTdLS4bZ/iT0uZvwPgEfbWHJcL+MnAafGr2p/n9HdqqwyZy/H35H/sftD+w9/gv6SY/QuLDqQtfacyyP50xGgtDiE9AF/kT22u+VB/CifS3Sd+afHH5uxFtmDVQHOHq/7ceuAvfhn278lfrZcR28l9gDx4Vhqb+G3YsevO35zoL+Kx/EzJScjqF+eAdDw/6Ye5/vmDIAI4Wphbj1OtMe9fm4U0Itfi9+NH+8tqyU8euNHcXl7Tu7Nf+Ym1ovH8C8SPyej6wo8Ps6898d25/TRHIpkLzs3jr/6OQDu1ofyuPv4G/EjFI5AU/9L7Sfx43za7uivxG/C/TYtLA8ag2z+ufxWSG9p+3W8Jf7LHXy9wVfsD3DjJXoErrHHo8386HM2P12ixd6Kzd+x/YK+sofrQcO3DPf1u8eOJFXZpyOWWx7BH8o4/UL8kQ0ALefhmU1r7e//Kbk3P0A0XqTkrvwLxN+o/bnjuTdM/PF5/pfYuazI7tfmS0eb+dHncH6pIp3VXtBv/s78Bcef87b+M2fPTcBo7a38s+3fEj9bLrOV2nNyb34rdvz1/nPXL5Ss41vrrwSzR+Cz+VPrvH3vMfDmt/IXtT9VmhdSyb4Em78xf7BqGv75aH6gL0r87+0DJ4/gnhL/9Pb3wjYYf4Lec90Sd+uPj0wHBNuf+e9um/ek3I0f+O6jrhvl4jKw/6K9FZvfym9r/41PQxqj9V7H3vxz+b+H9iPwmfzSKF+eBZDi6T8CbsGP49Sv3787flX7nx3xcGRwyeeHbCraC+jNX5L+YvyRDSfzztn0YZ6aEXALfoD6awB+JP7q9k/Mig2bzgDUzFmgawCk7FyPyh1l3UI2nwFt+aVRnjwKjLQ+3amKF9sR5XTlNywivTv+wvavOikDcPZF98F34J9t/5b42XIr12+5/NZy3vIcgF+Ln5NzaDEB2e85AASXTz9T46hwH2WzBn9smeb/1gzAE/83ZwDE9qeXBf2T+Rhlov1hTrqLjn+Y2B/KTvxa/G78thkAfvSWL8cHPlFXwcsdFhN/sM7tBbkL/+z4k3IYGddDInt0FcEpa+1l58bxF10D4ILU3fpnDd6hfNg+zK+XW/LH3aw0f+EMQOpv91XkNvxUPVTMALwufnv7h2aeK6Yvavml+62192O/Nf5VgP0d5f/9g8u1v6BvhVnxlwI/b+JX7fOjv9+aAaDLLvHx3SNgOu+On80QdKyltWxCn7yP/s4an5bcyKctv0cp5VWs/634sQc5mUOLETAfP1cPbfiD9iWvAZCODyv/7PjTcng53Jfqbr5g/oTOVeLTQP7nHPmTRj235mY6U2TivCf11m5dT/6irqdHH7CRpLeiA/+OX8ja8n30eK0yLJfN05B/tv3s+KX14hL95XO4UXkSf5j8lK4HvwVvj9/a/lQcnKyB5fqFFvwn/gA8OPB8vZ+aMJcHBx45zen5knXoyR/mL/EDAEj+nN6KHvw7fil+F5TizlyOyU3pnbEWNv9cfh7exX+daDrxY4PyAN4dfytwx+Lq/I/dNQPgUV/bwyH7q3sSdjKCz1e+jL7NNQCN+CM4lOaA81L8pWWWoAf/jl+fd+OngJv8a4fAjj8vfwb/ztQ5F9XBJburbvAa+/n5tuP0qG45HlZuy19/FwDOS/HTZVLllspWfhqWvO+Mv7T98bW0eF9UNqG3XYS/+Wfzc+Uc/c7nDxJ9G97Nvwa/1q/RmM5/vW5j82/+H+TvdxHaDH6P0rQArP+t+C2OXGX6SPbXHkafFsPXflZv5PfRrvR2O0n/9vjrIJ0vEo/CfhF+bvTEXVlfIlNllKQt+OO9ua+E4hkApb7bCFitt+I34i9s//P2We6+WvyH9Wh3OdryS18Iqf634m8Bn0jpnrx11Q+gkf/I5896uX/gg3oi9c34+fxleit/Ge7zofL4k863Jfj/AADckckFa6KX7CFYgw/BrcGmek+VWyCb+S/xzHtf7+CBTBN9WF7lGrRDe0rlt6/BT41fat+cvgXw/fWlaStIh0avQ2d2/LP5VwF+bkKp/q1o1e74vvokRfoLtfWJ7frx//YMwFWKbbvKwamst2Lz2/it7W5y3XvPn7Bi2nQKfZr97Pjr+S83orFyIHuAZ3xG6BN/gtJJfyl9A35cbpH8+viN7Z9L7/mTXD4ruvJfMwDApdywQCtTZZSkZn7/HFdVm5Mi0ERoweY38Rvb3xTCNabC9/xqtxb8s+0B3hu/WD48MarzG/S1/LjcUtnKry23V/wbLP4AAJJ7qFGKP5fKUvld+d31hADbBgBkKuutsPFbvwE9W+474nfm9rfAedv3U8v76CfZvzp+AID4avNyefO/m1/ybSbs/NI1AAEVpgaA6/eB10efJR5CbsB/vzO+No0jiNMgD6kHO+byu+D/d8Zvbf9Xw+r/1+Pf2Ph9SGvx+HOpbLkGoAV/vDe3qsjrc77JelxuqVzL742rqI/9O+NP46lt/zqca9AeAKpS2xI4ALEOO9Z+cvyHE7ZUWmMuWAOvdH/zm/iN7Z9LP3ANABCfb9k/gnIGoCq18sd7c4MCXk/6RvDTY19cbqlcy99uAPjO+DHq278azrIZv0M8gOladqs9wNz4e8O7sq956bnvpc+F1/LjcktlK7+23F7xb9gRjo2ocZKkn8GfjgZjyxJ9zQj0+Vw3ArbygzADkB8tx/ZvjL9Z+6PxjGf+sB7On9B7d3nqTfwhew1O+9fGX88bprhGYindw0NqD7m96vhxOyrlZvx8/jJ9Hb+1/c9JLJ/IOGXyW9GV/+8ygnjocxm7SxeOjYLPtx2jT4IheHLyjRr+dDToEkmrZ0aYEX/epn4EXMl/6bzP1Cn2LEBk/8L4m7a/AYzr6rQW1fc549Tox6z4V+FfBfcPROZ8z+nfCmv74+cj3DJOmfxW9ObnxuvhODoew713BiC10erbjEDLYJ8ByHPX5HlT/C3bH+4xpWd+ESm9eQ0/sC/m9+CPf3eGOE0LwGlk/7r4GyKohFD21x5GnxaT706x+hr+oD585JJPeEh9WJ9vjH8ERvH047/eBkioXLz5sHV8YuIEvRVS+ZRe6sqX6J0PyiaMKL11KGHixynhRNY/jz+8LP7G7W8GdY97ib4Gs58DEGJG/C35I/25L/zqpPQYbH6X6lvy43JVMu5hvzh+jq9E3xqzj/cgZzBWovY/essMQOlQoKb80lFwjV6Kg8rbYgRcwy/lL5kBqOGfHX+P9i+Ejz6FG5Uz1Vs6+EKP0Jy/xIcZ8WvKL9Xfo+fk+gNJX8hXXD7SMxEAq5X0b4/f2v6t0ZtPWX5uBsD7Yxx1pmhE9tA4tI8sEecHQabsS/ipNImwQo/yYv/JvLX9OyO/B7je50C7IPhH2r8o/rVmADZWAh4T/dq6t4Qdf17+DP7Ru70H8HC+a905Bx6AvCo7eh+7Ygbgzn+ClZUzAAy/R/6msxkhR7zn2VL7xC/s/+gRcI7fOXe4jvPk4ovLTu3fEX+X9j870kVr4MbOPVWWhh/nLfWDsn9T/P3h0B/2BZC2tP4l+zz/UQZfH3hfLg9dn+vHPwLSsSjl05ar5Skv/4/OgMfwsXxL/tkRjcD9Oe9wr89ALMv+Ze1F/uD/WE7jSHNy+XCpMT8uky6fsSPK4exV/Pd+x+Tj44vzp/aviJ+Nz97+1cDF4vuuaRdt8IhntH2IGfFz/FT5JXoAyK5hc88vyK15S+u1JfwA8S+m9f56yd/V4re2r1RV2M+adfwSvhp+S/l4pJTKWCqXNR7Uy5z/5EiXsOPjL12Db40yfu45AHL7cvbviL9f+0e5g3ExVyC712dkyV7Hf62H+lvOl5nmi+1L+XmuMfGX+KUtxN//U5tUTpo/v7+Wny7fn/V1a4P68wCBnm+fd8Qvo7b9j8zew333PfhbHoWW/FUzAPBI/vqIOxmM7JGKlUvLS72j/Je6Q1y+R0bW2P8ug5dM+QI/543cvpz9O+Lv1/4Ayf3xt9w79kJ+J6QY2vxviX9VYH9H+S/dH976/nUOs+LfIMBcAyCDWoMn9ER+CEdZkMql5dH5857nNsna5/zv3hEs5bf6k5b3rvipEiztH4Jb//R3qlk7T/xT2/P83B8un0tz9qvHvwJGrQGXIVxR91nZijXjbwXu7YMHqOO2ZK5Kts/zl5X/lzilLEc5QidkPMqiR1315UvQ8eesLfZWlPJbPaLr+T3x0yXM8z9ygZOb8XgwPU/fas+WC2Pi74XcoXOtn+P70nPr1EkZjD1VRq48TtbGJ8mrxt8blvrF1y7UPA8gx28tX7vGW79GrxuB9bvGwDoCbDeCrEMZf+sZgLfF397+7ohzKZW3FrkyNfw98Or4g1XT8M8rx2hShmf9nNsk//P2Mr8OOF+tXapfPH5j+4vIzZ958FJ8sr3sgFT/EZJrAKQ+gotTf31kZGx36u9um/ekLNnLfPkILCPAKD/2X+1FPbL8d/2FuQP4dFdeT9svG3+pPbFtbLDQfj3O4pcgjQGt6/Cz4599AosdFKn+jfbFSK4BOMZAeDT0yGgGAK/BS9cEmJ4DoOfj/ddBbY/8l3ia64X6TK7iP/VsfEp7nm9y/Ey+bu1P2d5Dmd5r4LSt5g/zlNquGr8MfP94n/vJsa+lvlvt315+P//atn/ql0MSlmX/Suxr6iU+r/6Q7vgvevffRewC/an1j9qR5TCy7KNoT/Lfcs5/4P0otSdkD5lu2qWPggh3KO05fjIOKh8Tn9qe4Z8d/6j2t6LFfcQqHrD5bLVnyx0Ufy/k1lePiSk8URWfYrn4S+y59V1r/WrLWzX+3rDUrxM2K7+1/MIZAGSnl3V+1MqHv4+v+fVxbp1bsk+tsB1OY31re7pEKrc2Ps6+j//t4h/S/te64bWf8or2FP+w8j+0uTJl/j4dAD3/7Ph5JG1ZYPv4izettb//p+Rqfn+uZXP1e+vh+u+eX7lknf2i8RfA1P6Z+/Clcproez0HwAOEz36/15Mj2T354NHdnQss38B6EGTJPs8Xd3ccpDnCPbRGtsf+43y4/Ew5tfa5+rw+X+0Y7GPjU9rT/AvEH+Ts3v7Je7hTP7rg5hP4rfdXi88XWDz+0ZDqW3pOA5dPW/5sfD3+t+Ia3Vyjnljm9GvPAMT7+BGnTS/ll9LW9rkyNXyl9lJ5s+Mf3f5UCaQpM8JS2/N8ZzH+GrDBNWTzkb6XvdL/bvGrYRoBMiNQ/2jJNWwfCkT85fZ4C//3QZthfVKvz2SXyn7d+LVo0/6Xn2n9Uv5reHT2PL86gE7n1cYy8Aij7b8G8ssoqDfpy8pqf2aKfsDjFOQT32C/RPxq2H4A8mXKP2DX/9SPt9Y+7wM8Zfh455HkOwCifZZ7ZvxaNGr/wE9/ih7g6TwF+SI9u+ntMX/qWuZ8eez+QeUMgLKGpmLkCDCslbDGcnJL+wTuQPChLD6FfUv/m8cvxddAL8N6XXnp872uT8+yxbN8EerTgKz2Vv/72PeDR38xHMpRuj4h2+f5jzLiNqR0nCzZvyH+EeCOT039lpSr5Skv/+9Z73zW/I/UMemlBwBI2kZqaym/1T6CtDho1Qf8HsC7IL9Kjsupss/VhwcIr+lI9FR8RfYLxh9hQPtvvBO4Sb/WxDv+vFwKfF3CaLka4UWADgDAg8Pfe47RhzpOxpDyW+0j+FPtmWxW/cPv7//c0xu9+0k+yBTqn1Kr7XP14a6xq6P1VHxF9rBe/BEGtL8AbzxT9fb42eCnvXvuDqL07eyt/vex7wfp/nHr8wXs5V9t97RhGfL268c/ArV1uw7/0QGIZlACwaW7kBDnG43LFeyni3c7Jr9V/8jP7yD+xcT2lD78HS2yx/4kyDeMPMIVGna1+Ee3P3Yy3EbrKXiwjRVK7FeMvzcs95+3iGf28xO+Hn/oB0AcC75PH+slWbKX4lbW7x9APNK5NgAA75/9pH72mXj9bmA/Cb976q9fBueeGgrc66cXqx+XUwrBHv0yzop/Wvu744+rHgBrBz1vn/ITa4ceyXm+Ivv14v82vPNoziZMsT6tv1L7r+OeIQEfzVWNki9+Swx/APFIxyFZ0C9xDUDO387p6Y+70lPrkJ/d9EL9JVVZWL+i/RLxT2z/lWF18yVhLgOpvnrp7/vjsYxTKX+pPXJkVvwbVuSuttboZ6P0/vHWKf48Q+ZgbaNanpHyCu1Pw3r7ZO1zAG5z5KP2NsBa+6S8AfHj29UGph6gsELawkPYJD7YgEnb6peIf2L7X5/DW2hiGaCr3n7/g3UGYO4BcDqxwggQd0tHyxys3eVanpHyCu2/JK5nqM+y/3WEX4abfxL/7B8gSOthtGzFngGwpfjzDJnDngEY0/4MrGfIImdYNX4+fnw/+ug/6DnCV+gXiH8qTj88k3bXW2GfAcD1ke+bYL0kq8pfYATogbivfYAs1h+qrOL6FewveVb8kY97BmBjY2OjEHsGwJYCpE9QjJ+e20sftgZdM7an+Er2nD+j4n+8mJnm6sd2ihivARDl1vZJeZ3jD8dBM9IVxqC3Cz7Y8P6e+olYpv25OgNmfyO9/fg7ZgB8WG7QxucQh9WjfLNwj8g88nuQ/v7kz9pJ7s/rpL9lYGBtGMGe9WdQ/MjLee2/KPIHR3/73gi/iqbxL1w/v45V2h8/j2C0bEBSinRvf6hf5nkADMY9Ce45Cl10RDqkjfVhTdbZh09l4P3i9HJ8eXuA+L587F//+POY/yRA82lqfJCe8YvC/kXTN/7ZD4KZzf94AQDgj4s276M1vY0P6eF4DgDU2i8R+QLtHwwL7nVZCL6eeustCB8F7AGiZ7+TaaBn1sKL1pglWbLPgvCvqT7IGfjlAJCfLpJTfaV9OB9z5Q3t7nZj9FL7SfaRDxPiF5tlXPsvCe5+7VH2X4NUX73092GKfhiSFOslWVm+1f9W+q+hVX3k1pbTLXwb4GrXAmBI/ln1OG/uWglKbmmf80vSafJoeFaLf2T7cyXYTg3TNQAe/PGP0XewT8rrG//h3zzE/B6lSe62erwmjW0lfZajpvzB8cM67R9eiACRDEhuqA/vCNjYwPAIo+2/Bo+2Y2dwpSKlb2h/Zoq/rP3xH61vaz8l/tkX4ZE/jrofsDSeb3UAzPEnvk1AEHvYEUjdSvVx/OX2IHQAVN8XAP+g0wwANcIrgdU+tBk1AsT5pbS1fQR3IPgg8pXat/a/afwVfKV6Gdb3lBW9dy/4Qr4cDp7jTurb2Vv9r7Of9x44id+jv1LI9umz+sv0Emzl948/59sozORv8y7Ev2MpxwEc1zgHa76OSS99fg0ZO+WQHucvtJfKifzqsAZM8rOLZ5V8QhqeFew1AI7Yx/EV2if8A+Nfsf1HAq/7Ted/2brs1/2fbT8brf1nfq6GydUILwJ0AAD++M73wdXlkeyDd9Dl3iePr5z22d/1VBbshXKuK9Mv/wCoq+X5q7xFe5L/ygeoXI/K4dqv0N5dfjJ+uWvsmurZ+JT2tz7iHxj/ku1PRWS8iF5t/4wEjvR+U9mZQqRPCy20187BdI5/9rvpOP6rvp4RWpmfGvunbTgfeD2uV6qeTeUPiD/n2yhIdRPIpnIpew/n2xwrzrGn/L94//mfc5B81x/f96f+3HvNjabfn1G+RBb9q7S/Zy5j/68vrkcfux30OorsMZw/szDl33pA9Ra0bpH9+emWcHnB/fmx30x8kRMZe+RveHAOiZ87Dia3/12tlB7r8H29VnvqW8ADvV8Lzp66L5nyMUTL+MPjZuptYJX8ON5wXwt4h05K5vjoZa8pH8Ae/0rtHx2fxM89Pn6zm8JeQmn+C8/qfrjyma7768rh5b72vP997aV8rfVyfvr6PW052icB1vrfWl/rV2v7x5Ddi3tNfE5qL3eVMM4FpEYH3l7Hf2i4vZb4ZTsJ2Kq+lLgvnivr0dPx6+0Z//15YRhXv7f+yQ9ILrJPcyj9t8efspahR/trymmpl+pLhT+84xkNOrQ3Ggc5oNO7CNzpCMaSoYqVBXuhHN5/HUR7hl/iaa2/r8tg/ErKYvy8ZaU9xz8s/kXbfyk4lI62/xqk+sL7pfv6S+1NPwQFSHgb+a+138fjgT71IY1z7DMA+bsMZHsrdPy/AmtEv1kjPds/ulrex1fP31kyI2CVPTMCR9dO+6eE9JpqKtXY5/gHxX9n9bUt1mgEyPFjXyMZz6wQMy2CfTrijvfx9esvx1H59w0vCvscv85/W/yh26u1v4/Po2NXIEs8hfbcxFueIiz/X3K7t9CfUN0PRuR75OPWMn6T7K3Q8f8KrBH9Zo1Mbn/LBAX7wwnp10vpxAcGZV/Cry231k9rfFZw9ZPbKLtQ1tiX+tV8AiyDkfGv2P4SWrTv1PKFQrh7p/cMwBzsGQCMoe1vLS+1v0ZL8Ymdrqv2Qhl/+/jNBYYzCz6RGxBIX8A+yJmmOnuP7LRf8ZhT2k/Z5/hHxG9C5/Yn59tCHiE+2V4OsKj+kmsAJLijGAdMyi1MBOtU7uk63c8YQDJrf8GjXVjOR5DdVDDwN4XIa3VKsF8l7q+2/8ZGCOkY7K3/OqTb/cT6NdoX4x+9m78K2nu4ngtHpsIMAH6mHCvT9rcfjB03mtOO8tT2Av8oeHCO6tfd+t53AQj8rfGK9r+HMulanirGBvbcHy6fS3P2I/zX2peP2ZzwVwaOH+8v9dNq//bytfbrtb9DEpZl/0rsa9otPq+YGQB+kSZywQfq8KM//wvXdUJZ9pGxl0Zp3GhOO8prZS8A1xtRjyp7QDM7SXkOyZyfSJbsJX4J1fH/Svs7UN3Hz1FwdOn3A1R8Q+TtS/jZcg3xJ/5NHJRS/A6OcVx0yITfZY6P/76nnLEfVb/W43NU/Cu2vwT8VaL9ahlbfnYGINqr2UfJGg9SuWwE9/iSv86Auz5Bsuf5ufLLINvL/uRmANL4tPY6/vbxv6v9gfv5xT+s/A81P/DxGVkuVwfOXsvfK37ZTgK2qi+lxPLI7+/02hvv17J6RmbrN5hP8RcxKefbR+bPe26Nn/OrBHPaf0HkZgC8Pz74Y8chu1t+OhTBOPHW485GmCfYzcq0/d2NYezo7k5si/fjPSp7gZ8rvwyC/X3mejrL5aNP9Vx8WnsVf4f439X+jVH6vnQp7W3fGr/Cjw+70tOk1v7+wc19n2T0Vn6r/a+0/yh/VPgDSJ4nf5UPDq53AHjv7m8+9l0Akb7TuwBEO8qGu7fRoG/CL0GwlwpN2qum/Iy9GFTH+F/R/gDe+G1Qax88pz2SR9nf5XSOv/QZ663B8RPPcq+q/5x9wbP6zz3nOre/6jV40n4oe85ezz8i/pxvozC1/aHFuwD+AXv/s3x//vVZ2kfJElo8B4DzpZXeyt/V/nquw/OhrHyFvYTV6693+0fAE6VhmY7JY7V3KF8pQvsZ/pf4J8GD3r8e/GF+HC+lswCXU+tnrb1Ubqv439b+Vr4O5f+DzBXgkFk3DT9T+1aAtAZt1Vv5u9q7A8GHsvIV9hJWr7/e7Q9gfV94q3e5l5Zjtcfl1EKyX/V98OeoGp5V9tL6l+2ltsnp06vLW5ffP/6cb6Mg1Y2UT1su//7OmnsXwvL+zm4MXue91ncdoGsBHDzt4e7ibhv8/ngMZu2UlU1A/jXXW/mN9uHPEvn7DkJ7KMrP2Uv8q9df9/bvCOzSaBdn81vxdf9n28/G2/zHs/ylMovrIsBchUTfg9prABhIFS/4zV2vQOvTNdy2ej0/IDtcDi1Dwh/BCf64a+zK98bE8nP2En+H+N/V/gCzrgG47Y3vSzfb978GYOpXN89vu79cY19wDUBVHdnK7x9/zrdRmMlvuQbggc4Ur9txU6JYv3q/6i2YXf+z+V8Lb6yDyL78Kn4PzoNL94+xx/5XQIj/8C/D3xR2ful++pL77YsuAnRhtuNTeh8+0kP7DoYt/ve3v507kD3A2QEAZ5wBwCOdZOQTHivgsic1pZfKF/mjkkpGYKvodSNeVsYFOs4u1VPmepz21fxcvlJZ2r+q3jpAMNuLzxbtbN85fqt/VszkL1ijv65luX4wIJIdksvLrw/CiE+3v7/u2mhR//g678rrvs08PXivMmvTlTHbx9n8Gsxs//Aa3JrU5oC1hLYetI9f55+FXy65pH6k/Pb6zpaLH/Qjyb38qNbX5V+n/euBWUplFv8AALxPnuMfyVHJQtE5G4mHkM//Tdv5vPrq1Lh1hXh9vtUDwb7y/oBSD17b/ubfz21Pvasg1OX0LTCbvx3werokr4HZ9T+bX+NbPVZr7RSrnUWlWL+G18bb2x/cteZakYJ1DX36RYDm+OFcZ/VUem2c/lykvoKpSbly9fw2XOvitdvr+T/e/rFPSL7Pz+prAK4ZAMilUcnCF7IwA1CeOkgeSfSqLV9dGxJmt9/U9p/1HIGV7LlnEuBrxFs9u4DyYSb/1zG7/mfza3yrx99RzNFVvwrDckwpucTvk3g4+SihavMeAPxRhq9IL1sLf8/jwDxGXJz/F9rfgrf/hsz23zoGnW3/dcyu/9n23XHdBeDOFCg5hDStkbOReDg5LqnoKu0wqwO43m0Q6Zygb8Df6ip4km/iQablr47/R9p/ox7B+wiS9Npy+d7Mby2jwRLQVP7Qh4+2f7b+rPpnBgBy6b0Oe30jc5FhPf9Nq0uv8dPtiIP8dyrSIz/m2WO7Qhn74WPVLWJ9q58fM39l/Mu0XwP72u3tsMTuAJ53wRNpxMHkM/vfkL/mPnhr3VHllsgt+E3x/1D7/wLCOU3qWoG+171LV9aX6VP/25bP7y+Va/2RrcO0roQaP2vjf2v7H8rK9O2ojTvqW7Il63PM4tfnl8urw1nuC28D/K32rwcup1SWCRT340v3R2vuny59DoD1Xuy320tlX+jFMZt/dv3Pto/KQunb9DXwxGcf7fEZvd2XtvxzOwD+/IH3zA9+ou/kR4n+t9q/jR+YmapVNe8fALmuSU1euKPkZ10+WKsn9VwZBrkUWXvkf7G9lX922Yr4u/IP4Pjl9t9ots67Kn9uDVfzKN5Ydz05DsmsvjV/e3y6/UF+F4Bc///gvmEJ2yKcu8Oc12dqH2e/Eij/l4G1/hT22fgH8M/G0Pb3aButt2K0/5p4rrVmjb+z+XF+Sd8SuNxSuYcfNfWTKw9jxfYv0Q8CNwPABoav1eb2vWHsYxwB98WAsWc2/g+MfZdu/w0FZt9r35s/V77mfvOez3EYwS/h0+2veBeA7N8f043xaGc4AXDrrgwusHFxfw6XR5Wby1dqJ5UTAfkfYgi/EWG/0TSHX+mYmV8o+9favyWqn/z1I/xWfN3/2faz8Tb/sXulMos/eje+v/uZJdBdA0Dae6d3nEm5+8NZPWdP+V9iX8nfFA7Ho8dhB3f8UFOOgV9TNpXu9t8I8evvg++1Bo/Xjbl15BdcA/Dd9jdcA/DsZzoADuLvrEeO9ib36Ye5aPsiJHMJUjlIL9in385l9uX8zH4uHwcff7xFdRVT9VDQPlZ+bfy/1v6hGt93HeopCqwrtbfCyl9qjzcKHpXD8WnKK81fyg9nXuoee0r3iyiJ/xfbv0Q/CLkZgMCvaAbgyUY4/uSqebIdQmJQ+CS25eyZ/aUVc+e3zQBUt4+VXxv/cu3XqP03GuHX3wffdg3+GjHCuW58yg7J3fjb49Ptb7gG4NnPzQCgZ9g/srtmjJnU5e2N1wDc3SXGLtFz9gzU9pX8rVH7rgFcD7Xd0G7vOtjtTzsXpm/TW/Er/NJb6CTU2l+/Vaz/gt7Kb7X/lfZvhV585HvN701+G2DeXt56Yzb/xlws0P7Rugkhy/Ye2Re8GLzB+8tN/FASf75U76UW47R4vzafjf+I09/ptTfeHxkQxXuIawzLkj0A4K9x7mu9MX9x/D/W/sWQTqsavQ/+AP6SDPdz67ktD3f/X7v1xmx+AdIhI/bPX27fHQu0v2UCRnqGe2+04LfEH5Xj5x5PpfzcobbYV1A3tI7/be0PANG1DtQ2H9YR0p4B2FgZL29/PFriR0+/wG8tMbG/HncbjoNCuTd/sI9MvfAHwghcYf+fvWvbdhwEoTjr/P8vOw+tiSIIiMakcc/kWIOwQZPWSy6UX5lgOn8zfkX9WXC/9o/CdjGIawACwPlOdCIPEej1zW8q6RcbsR9aHFgu5Ql91QhwIv9QzLK7mn+3/8bGxsa14EZD2lGSV3/Dht765NrnKv6NbrhH4Gmcw6Wz+U0QLIo+c2J2BHwBv2EE/GPXAJzlWylVlsED2z8Km8n+gGsASqFxkSZm4h59CZV9I+6qj/dbeWL58ciq/eTa5yJ+bfx3bT+vvvQ+9hZazXbFHMMIfk/8hR3o0xuFXv5R8T8Vb25/1QTkMthG8OlTuec5MwC1/0+Db+R+xv/OGYBl7Y97+9bRM16uJJcvJ8LLr49fGuBoSmj2940A+/jTbElk8hIMI/C2X8S6/BX8lvh/sf0bhdsn0gw5NwPwXZs/9qO1+rM0VHv0+vCpoIA+5+Mmbl9Jy8tbNrH/l/M7cZy50WyPakezSw5+1t5b2n/jvcBfm/XX6Fx9L57u/6/A+vwF1k6kN6kcHkHZ9Vfj+TMAPuz4y/RacvTZNgbbMwAA4LgPe9AIsJNfHT9brfGUxU+GKcY44LkGwM//9vZXozmeT3cuNFxg2//Yn70NEG1Ys3o+AO662fVX49Zdz6r+xus347+AfzWWtn9Any1O4PJXn1Jefo2+5v7o1n3Y3vurZ/IHVCbf9wZo4v/l9h/h3zik9eByhI67FZQ8H0H16K/GHgGX6dtwp/iJ+6Vb8moEY9S/HT+hcM4s9LRPW18eAc7lP0e9ffa1I9i76svx7/bXMORpF/7K7jc/Qq9H+bWWVf/rfECfqX2cPIdZH40AL+cndC15DKt+yOJfwo/039z+VmD9q9+JMpofj4Fm55/mD0ZV/w/Tx7hbfd/Nn/ko1/Gh6uNT8nIGwK6/GncaAfbBdz2FP/77XM/Rg+e3/8+gHpGVIyhmxBbPD136C/lVI0Dpmm5tmV5M5C/jf3n74wK4bil5fg1Aj/4Hx10A5Qid6+KhsX765gx9+iKSl73dJUE/tMXT+d2I3+On074Y/2R+jX0A2O3/6+DeKXB+XdTyGM6Dr1d/JX8uf+PxgWN/dfuvG4H8A4BqZR9fq8/KIYQQQoBefSnu8EVvdE/XF+1/5vGXfX/M5l9d/6v1NwTMft/8Nfz4uogzH75rRpQ8H0r16Nf/rub341fa//O3bIm8/ij5R3p6YNX//P37fIohJA0IWT6GyfJPHO268dTxU/RxOWX+eN5Cp/5t+Dk8pf1m6W9sbGxQSN8r/vkDfsR+TX5jY+PFwANCPEzh5Ok+7F79u/Cz8I6TH6K/uv5X81f1FDPFmfKNjY2N9cDfR5FJkTyeH7r0b8PP4CE/4H791fW/mH9dBwBdA/AVX5zf2Nh4J6Lrn9/Cav42vGvM99dfXf+r+el6SnmcjpZX1wDgNftL8u3j49lruFp9XE6bx6nX3ip+Dk9pv1n6GxsbG3PRfRfAIPlGL1bX4mr+jR/B4inY5fwM5DmCH9FfXf+L+XE95bMLM+Xf5wCEbMv/HpcZcnL0HACzPghIXvaOoZ6ur7AfQTGPMguz+VfX/2r9t0BzX7b1Puwr8qP4347V9b+afyH+pQ/Sk/ooOX4OgFVfxOT7sPMZihX8bgRw3Ycvxj+ZX7a/23+jhV+5DzwWY7Qzr7uPvlefXo++jt+PX2n/z198bcFZf7Pk3icBZrIefaIeQpYC8znf59LP/V/BT+ha8seHcx7GZi+Lfwk/lHhz+29sbGxYELPvLZedCLDfBvhG7PjLdGMR8IAQD1M4+c/cB86hVYxb39Xq34h/df2v5q/qCdctJR/2LgBqLB/qb8WA5ISWVX810AjwXsBnjtVJhX4z/gv4V+PW7f8m4K+EY84knOMcLA8Ax/vYe/Xvwv92rK7/1fxrUY7Mz00qh0dQNn36GoFrsXIEuONv56/04Rbxo39V+d+W4x3fEVaWSuWfrf92rK7/1fo9iCjtwl/ZhTm7NpFcs+VnAHr0c4SjzBFQvl6K9+X00JC3bLbWgKfz4xro6BDmDd/Vn3SOgF38RPy7/fXA1xBf/YMyml+qjtH5p/mDUdW/9/i5WB/jbvV9N3+uAjeKp/fXIyi9/h4BtvN6Kz2a5SxMeUXHFfy7/Z3xrx5RzucvR1BsoYaopS/7P5dfCdZ+PGXxkzHp4wlY7pKsWfwK7PZv2y+uAbDqF9cA5MAzAe39+XMArPqqLhE11rJA0BdHwBP5XV3CWH48smojqB2tHrj5d/v72j/A0vuKr+DnvkoKP4Dn1ejfmf/tWF3/q/nXwDYD4NG/wwhwJe4wAzDejk2zlf91uOLHy+j0svs8OPnxdQDcdQMgjZ3k0RUn1c5gTOE3xK+1a239iHi79Hv5d/vT8UvHAZJHlFr1AYCfAUBr+ClfyCKQqah/MGHmwleaA8ulPKcvYTr/mEWh6loLrR5i7O4md/Lv9h/T/hsvxHH/N5P+Ov/GB+IEZie4uwK0oz2d/roRoDe+cV608r+O3f7tfFvZMwIv1m6JdDa/CcL4Kkr1NnkE2M2vBFmtMduovKQP4LsGYAC/Grv9h8vLuYa/qkDAixfWxQyd/roRkDe+cV6QeemQkVx8iP5u/3aehfSM8dlYzZ8j3Ye9Cqv5347V9b+afw7aIyRppIKf+LdnAHgvWvlfx27/dp5XhHPEHYn8bFzL77VY6Z9XThf/4jkmmssvK7T/gTACV+hTfmWCS/j11eHD49r/avzVu/I1fHxNQAD4BMVeA/Bd4W/pHyyYNQPHgeVSntBXjQAn8pPx9nYkK7sXo5t/t3+J3xtIbGxsPBT8VeLyDEBbvyzH53V+PU1elmzldegdtcrtM5d/t/+6GQDnNQBufhOkbxu5gG6/ttwofiX2NQCS+IXt75SjawBoRbweeuaLkUrMxMVHXr8sx+dp+9I6LZLfTr8s2co3EcuPR1ZtRG6fufy7/bvbv9VsV0wjrObPEQGWXnu+mv/tWF3/q/nnQTcDkD7X+54xA1D7/4ARYCcfpXfG/84ZgMe2P16u7FpedaCTn1sPbqwTSwMcTQnN/r4RoJG/I/4Wq2IEjhWLdfxWfir/bn9X+w8FNwPwXbMv8hABQvgEFQDOAt80wikHQt+yBpo4UHoMOSJS4eScfsFZ7lHpd/Kr49fgOHNx3cqg6sHsgYN/t39H+0v3W99d7sXb+RPwYVsfxjSOH2zOf0Hu5fdidf2v5p/FZxvF6WYAbHYseiNB+X81N5e/0ocd/zpuLk+pHCk9Ao+oHK/vlffx9yASn7OhU8zrjeIfOQIcya8EOx6Mpyx+MrJ+5h95DQDh/1D+Huz252Xxe9o1vjrYa0CO/X94VJSVKRGKpPhM7eP0mezly4c550puLi/VnwiFfjP+yfy7/dv5Cumee+794lSZkbiaP7fFPm+9MfeE9SV71vJW/g0bdvtfgj+ACAFiHQc7TxSqz9S+Jd+qRlD+3wZelxT6zfgv4F+NW7f/jyGG8p9VTiMsbjk9f1/8LftJpilT7UcOcBU+jn+3//D2jwECBLbtWvrn/jQDgNfoqzXLtC9kMjSCquQD4LXV1FeMAKfyO5GPsbs4FPFP5Vdy7PavgW1e/T24mt+Lt/u/Wn81nuY//pG35gd6MugagH7237gKfAx8fP418LvF+8Ptf95rTy/sSfKzwyav8c/htyG3FY89yD9ujZvQxxvNh7dx/F1orgEfRMo14I72H8pvw27/3D62EKG8BoCQV/6RYO4CoM1ByK5xLgSRlnu7IZWdIBhFckG/HgHa9O38ncB20FF3BpkB5gABAABJREFUZLFc4FXPAEziF7HbvzbNuSDJV/JT7wzQvFNAiicC8OuzwuYtb+EHsMc/cgzXU/+r+QF2+18FPBJqjQyl8c2TZgCul4/G1Xyr+Ve339L27xjB3UMeY4Ti6euxvHa5Ic9t1fZjleN0ejGE3xH/GHxHo8l68vu4eYORD6Pf7e9tf2qEH4nPXHkWfwAA4aMQshFRkc8h9UsG91tiadI4AjsrIpy2jusdIpBpIQfw80/sytXPV7gW0/l3+5fGkT+PknvRy4/vl7amXv67IHwPaNZ/Qb4au/0n8P0DAIgRQgghH/kX+RwXzwCEECCeIyvzBiEAfG30pODnn3o8hMn2V/Pv9n88Pn2gTy2UaVTK+fQYwzbK+f338Xvi98ZQ6n+vGlfn/XWYItjtP6f9vfJzBgBaaY6LZwDg81X84O3t3/9e7PZ/PgKc40trPlUilSZw8hGVP4LfFX9wbLk9QPaV+WH8u/1V8VL52chG/mRKlZVsjUP36Osm21p4PbhHBE/eNhw416P7tvQJOtMR/D74+P1Yy7/bv/SpN8/i7tcAwNkd7d5iBAiO1Mk/FVEi8Xog6Iv8fuz2fzBWT4BMPvynY3X9ebHa/93+Au5+DQBhvcVAytM6dTjXdgPa35R7+ScirVfz/kTX5cSSvsQ/Grv9bRi7huyzMSN9xhqwL306dvvPa39/jLprAOK5I+R5DCwf3n2RRlV3l3cC12csRUcWy90XoAUnv5Oe9OfO7XuzUX8E3xjCq3/YCeV3hiWfnrdOpQmcfERTjOB3xe/cDntZZVjyw/h74395+98N+fgmmzEg5XPY9SOw2r+xcrt/oyH70xrBU+1n0b9jvO9qfwFF72yB/ld70H3gvf5FZ+rhnxu/Fl8/j/GqMj+Iebe/P37MYs2zSE8CjFD2l47+VyaLAJe/CwDBNgJD/g2X2/0biuMIYfq6R7sxciI+k77EPwGvbn/u/mROrr2/ebo+XVyElz8BN6M1leyL/tLFRUh8ZnvIrlVu5tvt/0np4iJ64zXzMKMW+mrmtTMANkgjXK/8CZDGq9oyT8SPtb80MqlHMPHzf5l+2vBISZePSFLzf/zj+EfDyj86/sqdWKQNeSyKcf4gucE+5+Bu/1Hx45ginHMGMZJyHf5BetxJhbS/lOcl02dq3x1A+TdSfmvENH1/fKjQjE+hf3f8VPu3vg44uXdCIte38lO+UHa5PLYp+Sehp/4ktPiviF8LDV8r34Pd/mvbXxnPP1g0A4DLzfiFufMIcHr84YPsA+sD0zsQ9T3Y7d/Oj4H3fenj3rce0T+rfLZ/fTC8D354/PjpcVb5tfZ3+89o//rZjVb88d0YfD80RAD1NQC5+JCV7uNwCuDy1nxhk6sgh9ztnzP+tI8zd+gEpm5yJW6NSdBv8c+O/43tX8hx+Yu/CFfze/F2/1frr8bT/Be+LsQ8C+Z1wBECxGQlAMSY8jGbEE0lYtYfiPSEabUvol1R9f14+CXIPxsc/kGx/5xhKfy36Hf6540f7yvjIeSRVubi0+qL/JPi3+2vQwyfbzScOvRtDlQI6J9V3vZzFfT84+OX2rYlj+gXD+e99mvs9h/e/hBDDDFQbSfqHn4zHYAA5XfOmS/2pnnLUJas5gCIOYHmNxyrj/3i/C7LhUpWmi/36PVZ/mnxo/z345El64vi5+JT6qv5mTz0xr/b/9yXt1dA7sdTb9RzAHD4Lf4ErrzIS9ij9C3x0U2rl5N+cn4p/WftDtCPOH+xPsBu/1Xtn+ta4sk8QNcFnHlprXLuNQDSfdb0dQv8/ln6ukhaeR1kf+jr9/j21elr+duarXwf3yvav14mLPfEbC+Q+zm7Wn2JP2Z/s0/cOme1n9av/Y9VrhUfFSuXb+nI/HPi1/uPy3+tpKvGkzTzIwJkclrfyr/bf1770/50oGcGIH4zZJqNGXMDON8eAbH6hx+CnPO/bwRJ7O/0r7TYyIv6X610fUYjHm4/N1TT6Iv8u/3ntX+rUS3p1fpWePlHY3X8Cdb74w97se2PJLfy7/b3+bM6XhprZwBGAI/mtKO78V608rN4rtbX2t3tb1EuBhAon40l4ncrxhyatKUv8UM+Mooor41Ppx9jb4v1jAD1/HPjj2gPztd8FT+e1kP5tr6Ff7d/mVfa1erHDsfL8/mvMiB1IwXz2u6IMAKaCDya044Ox3vRys/iuVpfa3e3vxJ47Z1aiz+MRgDP5XuUvoafm0BR8yr1Rz3vvRcc/1Xxv11/t3+NdE5ym6g/aIRv5dkjwGt4rtbX2t3tr1WEc8Qdifxs2Pi9Hg2PKJvbwHMdXeMpkW68vjwCt9vtGZ9q+Hf7X60fhQ2hugZAMcKP32JUCmhf7laxnxkBVeUYfU6uwJARYK9/o+KX/MB2WTkIckHf6uduf3/8GxscpDHebPnG0/EZifBXiT9jBkB7lfssfR1DK6+30r4q/bfuArBY/+H2Z0fg+Hpi7l8yglPFv9jiJzz1QdDvHrN5RsAW/hnx4/GcMMaj7LHXAGj0W/wMXzd2+1v5cQtVLYauAajpItT3W3/zhxy5h7uFeD9RjhkBqfVJHOVa/jfsePUrO0yeMGGKP5ZFj2xVPqB8XrCxyCTpq/mZPOz2HxJ/5SbuVUDRVmZQ+o3D5vQ3QPNaAZFXqR/BZnc0OP6r4n+7/m7/GkHYRO6Y/sozAEe3seNL5ooR4OkfPYLj/dfpez1s5fVW+mcA5PiePQPws+0vXYV/7h/fAdDwn3oR5bPikc1L+qJ/MrBWv5W2XzPij2jPkU9r2ZVf3/whh3IsmOU1+iz/RfFT5ax4cvsPRT4DEAHyZ7+X7wBI+VN+dijQOBHK3bSMGMxY9Ck5Gl8FVLDu/iD/kaSpj/hU/hUyZ/ypXdKxkY8V8edYy9n4lPqnTxn/bv+2f4VsQPwStPeH/6r+asyKHx+2RzrpNwKD5UfldvuX6Wj9UfVTXgV9jnboLR8N3XcGoLTJ2fbKPbgifsmuJr6r/Nrtb1NHI7RjIBdPcfyMCb8fCTXerKCvmwGI1Sd9dDr9NB61Y9AIkOGfHz9uk5hpfrUyeSwkANI1AKI+y39V/Mntt7Y/ABx3LnRUwXm6Zm8DzEc90iJCOSY6xo45qv5gWx5wGEZ9CvwIb4y8wN3ij+gDUb4Zn0KfLs8Y3e3flLviD0A76b1Puvc+52OOKEDxbAA1r1L/zveBA8yPv6Wfzwdwx8dMfYDd/qvaP9cVrh/4A8BvQAMIaB8tByjepiY5OFtOoH7b21i5yb+r40/zQw3FZnwKfar8MjmBN7X/581g6dPZRU9p2p+XdOgLzl6F57wPfh4350NLjg8A6qV2HvtX4dXtH79vDuxYAjj9zmcAjjX/TxqY9FwTDoc5ACjHKJRPs+UVkH/D5QhXx0+Vj/hzIPZhpYzMoq/xp+X/aHmFH2//HFf/JFf819K78Xb/V+uvxtP9nwdpQWHUXQBX4M5rwGPQexfAqZ2nVn2Zfy1+v/0x8LXEeH1Wew1Arz4yld9wbIVKv/s+8EEQXJsaP3ldB9FWnJxh9dk3+C96stu/3f7tawAi2hj8HYULzS+osV6RUa4PX4XkWiiS073B8uX4fjvzc0BtR+URrjTvLPFfjLe1vwRv43j0A9pm6K8++Fr8V8R/Z+z2X9v+Fv18pJOP6aiUkq9Gy98r0nXwzQBo7D9hBuC97d9Eunq410u/vjj+cOp7rI+AzrvL6i/CcZ+/So6Hl1Z90Z3d/jPjjyi9BaTfm9ny1bg6fin/6/x3w73i935B6vTxF1GeRkHu07/HD8C6+FH6/YFWy9MUcq/+aP/N+rv9x2DPAPjSO8Pr45Ni3O2Pxmf51zUlH6KfuiRkGgW5Tz/mY9IF6Yd/XfzfBoAzlX4wJsh3+69rf/81EH8A5VpnQHmNfDVa/l6R3hleH58U425/hFnPAbgLQrz+/oc78b8dq+t/Nf8o7BkAX3pn7BmAd7f/BfCMKEfor8bq+C3lZ8u95Xv0V+PR8Y+eAYj07rnyG40Al8TfkgdBPlv/Cvlu/42NjQ07/gGUIxrnDEAI1WtO5stvNAJcEj8vj+cS1RL9a+S7/RPwmqCUH6G/cA12pzfA6vjfnvrwmQE4vslitsEx1pDkq3GMyCLy+yL5ffGGKwB2+7OIAMueA7CxsfE8SOuaT1r3lNZqvfL7oxrBI2mZWvXvjte3f9ZXn6gfG2kU5CP0V2N1/EearkvXyj9Xkcdu/dH+d+qvxqPj/8s+R4Di2e9kmskxcodWyCtIV2t75Qh3iD9vm6PdYr2vMJIZM+kP9n+3v09elQ9laoVWX3FpRLOcV381Vsd/TlAZ5VLeat/rf6f+ajw9/nxlP434+O2U3x+vHwFC23dNfL8Q+3vav1gXjJ8xG9o1VR8ZK0cwVnj1V2NF/ERboQacq49t7fa/efz52wCh7FxwGwDZ+cBu4iKz5QQuHQHeLf6IPhDlm/Ep9OnyjNHd/nPlFFY+B0D5PvJp+qux49/xr4xfqf8HECFkGwAUebwlOf5mEN+ZjsQxztef+T54vO928QfZbjN+Qf/28cPL2j/E74vBz08A53u/afk4/Y27IbVd7zvrvfobT0A+A5DWer9pYNJiTfhAaI9RKhk2MEC/wswR4AT/R8RfreEHYh8myGyp9W8aP7nvRe2/oQPuwbytR7Pjb+dfg/wiwE///vOdH8M5Jiny8fvdQ4yAWnVYjzjG66Pc+bv1+VSPsfgRnqx/0/jznQG+q9eh2JdKk/Ep9W8bf5Z7X/vnI7ZztA7fXC6vqYJTf+NuyGdsKhn6xcN5SX/j2Tjb9K/c//0TAlS/BccY5TsfgEyi46ncifO4/Cj9o1zpf/riwnaqEZ5B/5bxV/oB5fPSRHxq/ZvGv9u/RATf2IbTx+uKVD45FdA+Fa+gL/HPxt3jj9mxSsk1/C39u8c/G0+IP6CNQdkBCGlkkdb8D4ZP/pALIzDFt9MU/ZDnaP+bMOjfMv6q/PeajUqfiU+tf9P4X9/+eN02fO/d0q7nevV1+FxFcH5j4fyvY1b8MUSor98Ix/17p/xT6OQ98kp9t5+7/ZfGf57Hf7Uo/Q1ob8jk7HdUmjfFVwlW+yfpV/7SeQmy/k3jR3rEL/8xfiXjU+rfNn4cD5OX8Nj2p3b1frE8XX81dvxlerX+ajwi/qoDIF2NnNZD4ZvWdw98P5aoghHWsBv6n+sRBP5mBK27HLT6Av9t4kd7pPCIX3ysr+K/Tfw1frr9Q/HvGLPhfwBQrfES5Uh9sYJEBCivI8D5X8es+AOE2LJzyuNxVQfKK/Xdfu72XxY/OpcjxkVubGxsjEdU/UslcarVNbjjDWcOsN2reGbrS+XTZD76nj/ySv1h/szW19r9lfb/aLS2/nP5YIip25A+l3m9lVZ+Hn/7SYfz+U8rrfwofm+Pjrb4nPg5/be0/2gYuwfDvwC93ZP0/HukF436d41f+wPO/QCK+jePX2Hwp9tf0QEoUS0ByMjXQwORPxyn1jALK418Q1/Fr/Cf27T6Tf7bxO+dWKItPif+Gu9q/41XQToA3PLpPcyNOwCPJupREj2C0Y9C+kZAWn7Z/7b9p8d/7qVXdbj46nKl/lPif3X7C+MTTdo7vqodtqsM1dfavYrnan3OLDp8pi393jT+H27/KGzofJ4zZEhuByY/W381Vsf/dv3VWBz/eRHf52n+8sV/OG3pAxjuCz//mu9Db+j77wP3PQnu7vGL9RPRsYTy4/h2+/f4NzV+1QW9jx4BHVsqU7/hsOQs9+j07x3/ubc1A1DHV5d78gzA69v/6PV3gtPH+/l8zPPcfAK7jon01fy6yFp5WfvO8TP5jDfmvFV+EN+y+GX8dvsbwFwDEACyZ/9/dpTrjbjzcO4NcOoULoa6PJtn9LX8oShRy0rOco9O/97xFzZSO6LSVHykD5n+U+Lf7Q9wjAm4FMNaXsJq/dW4W/zpJ4Jtf0Fu5rtZ/FfjKfHzo7/WVo9AuPVTnrWVl/zR8NcjPJpTJ39e/JJdKf5S9rz4X9z+3wHH5/+R/xblCM6U0s+uEYjISvy4h+Sp1PlJC1LfwK9jaOVJlcfEz/vzLU1eA3DKdfbuG7+OoZUnVX4nflUdbTwaEeFq/Y2liPkP+ZEmEadyqtb60hcMktOznZYAkL6Rn4qu/EqtlfPNav928Vfl9R0Anb02//L4K/G72r8Zz2njH7AjFjyikUY4thGQHXb+mSNAu39eGPnDB3B+IDXytECl/7D44d3tn5YEylSL+p0AX47jS6ZiF+Xtb0RZ7uP3wst/ffyttsf7WmXSswKt/Fi+2/8+8RfvAgiQrfcX9j77koxeH82NtuVe2PnrNd5aQy9/XPwR4Pv+JsYhIX6k/7j4397+GzxwBb2twnb87fxrkC4CbFVI9ll6Xrr2eeq9sPHXby4cK7f754WJP6SRIleee7MjsPqPiv/t7Q8A3mf35++G+/wtu1YnZHn5zy738XvxvPjx7Z1WlPrPi38sfjV+3ZMA04xCek/6kVfKvXDyn26EKqeSpxnXx8XfdqCOnymx29/F70Zv/BHAdQ2xRz9AWZ3W+8gpGx4EaNuT5B4+gLXxd93H7+S8U/zY1hva3xIPXgvl10al9c1Z65+j+FfLvbDye6/f458D0OefF6vb72HxR4BsQRGnlXKVlvpmZ9MWY4Ti6evf/Ok1KY+ZjSfiPvF/2zFZT1aP9WZGPoT1DvGvwSPi/wM4xgzHeBHl0xpyWgtO1wug/azcCy//avnq+B0IAJ9flCfHv1q+Mn7IfMAphlROek4Ad99y7/Pjvfyr0yOOxfFjP9j2Z+RPj3+3fwP/ACBdM56P/LN8hBA+3cS+1Asv/+p0bfze8WiMz45/fboy/v7he+L2B/Dpl3y+jOgry9vyp+M+8UvvoZ/zXvr7xL8G944/zQAAnwbn5oWTP34qsnsLD49/APuj4397+3tcCHFgCLE//3Ssjh8fitb8EP7d/t35iUgzAMCn+P5j6+aFkz8ABM/29Pjfzv/y9vd9jwcAwHco2/4B0KMbbepj91e/n3/Hv+O/b/yKawCO5wB0pl54+Venq+N/O//qdHX8S+Hlf/o4cMfv1N/xX4A0TuHSsmRrVDNq1NNr/+5yLzb/vdv37vGb+SDCMYzoSPNxSE86gn+1/vL4HfiJ+Hf7N6C4BiAz+bT7oCv+IDjFyH8m/rfz7/ZfAnxfuTX/dKyOv+s5AAMPntXxr8aN49c9CCjrCQSI51qBVu7FMP7OJ739TPwl6viv5Vdjt/8ifu814emq8vidysyeLgfJ7ZZ8BP9q/fvEH8Pnnzb/a/Gv0b93/KkDcPpD5w+DXSOoYfDyl/KA0tH2x2Msfx3/tfx27PZ38Ev3B7P3MTtTL7z8q1MvRvEfU8Nc+zPyp8e/OvViNr923fC8spguL8m9GM/PX+twDb8NO/4dv4s/olQhz9cQ8RplrV7Lv58jYlXnB/F340fij8XuyPAR8h+Jvxtvj39jY+NXsK4D0I2B/BFttToh/6H4d/u/vf1J/IPOGQCs8dmjHwHV+tfy55w9I8Adv49/x9/Oz+bX4VxDLL9cavO0PNcv/9X6lHwcfx92/Dv+Mfx3jf9Pv24Z0FZLW3K6PJ+fzZ9z6kvv+Hf8vxP/i4HXuUde8/4E7Pjb+Q0a5+iCHsHYR19cfg5/Ka9HgHr9Z8Zf2jnjt84CPTX+V7d/RKlC/kNToLHYsImI5OP5uzBrCQBPIH2+AFC50fwd2O0/h//cT98GmKQB58/RBT2C+cpZfVyeyU/jL0dH9QhQr//M+PPSuB4yiz8b/8vbfxTI+8YHc4zmb0+gyHIv/0hs/t3+a/gfPQIaKn9m/LUdOj+bf7f/wvbn5FGQlyVjI8+q0eug0vroKH6k0cpP4V8cf/zaP0pnfBHJZ/Cvjh9baOWn8N8o/gO6BwEdUI5AlJZa+Tn84+TPjL+2Q+dn8+/2X9j+XIEgyDeejfRcebb9BfnGBkAaZeCrjvXryKeVVn4ef6lXb7P5Tyut/Gz+fjw9/re3P14rbK0tMuMR9Qhk5BroUH7lCPBX4yevAbiQX4vd/uP50VxDxHA5vLGxcW8M6ACYuW6n7/sB8PMv1nd2ANz8y/Vf3P5lB+BfwJCNPn0E9PIRoBdPj//t7W95/zhUe2z/an0xusn8q/VXx18eA/iY2O3/6/F/2jr9M18DAFCuM+LLJvXLR31roCP48eWelss/R/DTJa+L34unx7/bf2NjY4OANIo45fQI5jn6Xvlq/336uJx2FHwX/3f7O/SzkQGVFuUVY5YWbquPd7PFbuq/U38vAQj52fwL9cv5ADQD8B1NxCz70fnmlVchP0CfxnP89+njekD7b+//bv8p8UvvgU9y7v3xWv3Nv/k3/yJ+XgzwjBHMsBFg+lTueYb/I2YAzvjfOQPw3vbnxND+gohok/Yz+ng99MhfxE+Uikg+lf8u8Wd+vDJ+JHlT/AfoGQAWyhHIA/RzG4GRz+Rfq0/VQ71/Hv96/dzG+9p/Y2Njw/Q2wBL0COQ5+rmOR7eXf7V+rrPj79ft5V+tr2RpDih69c9rkOn8bP7V+uvjL68Hl8qN5l8f/1r99fF77W5sbLwA9/wCHaBPTwFfx79Yf18EKORn8y/WL/b3zQD8AjwjwF/Ajr9MN14D5Q/Az2LH385vbGxsbGxsbLwGzquIHyb3XAX+C/Idf5nezb/r5VX5m05hbv2tv/Xn629sbLwHEdBkaMTZ9mTp1t/6W/9R+v+QhZuPULZ8y7d8nhyDvjZ56/+GPr4f/Wr+rb9ev/s5AFu+5Vv+a/KNjY034Z9cZGNj451YvQa59Wfq8/efX8O/9e+uv7Gx8WKs/gLa+lt/66/T39jY2NjY2NjY2NjY2NjY+Emsvgp5y7d8y9fJq/IPn8Lc+lt/629sbGzIiN8t2xGb8q2/9bf+k/Vf/RyA9Knccx//Zst3/GV6N/+ul2Pc/z7mrd+vv58DsPU3NjY2PjCPMLb8yfKqA3Az/7Z8vvyffVTwO6hHgO/Cjr9MNzBWr0Fu/Zn6+zkAW39jY2ODweovoK2/9bf+ZP2+GQCsYbWwWj/X8ej28q/Wz3V2/P26vfyr9Tc2NjY2NjY23gbcXXpb92nH386/Bt13AdAjkOfo5zZ6rgJf7b9P/7Od8Zf77+//bv8R8ct4xBTm1jfr4/3acqP4t/5a/XM/fQUIlrZLb/2tv/V/QT+Gz5btQNlyk/Zz+uv5sRfn3lfEH9Gx8M2/Jv7Xt39g3HjOCGbOCOg5/o+YAZD339X/3f5T4o/fTZLjctx+Rh/ffnbkL+InSkUkn8p/l/gzP14ZP5K8Kf4Df2U2gPZ94rhUQPK763vlq/336eNy3P5Z/Ov1vfLV/jv0Y/yO96BONzY2XoQ/uQhGhPD9rgjfz2Veb6WVn8cfC716m81/WmnlZ/P34+nxv779g5DmXNxUodZXUh/ff87fjz6Hf7X++vgjxJDzRmZm+lfjX6u/Nv4Yzn8AEDE8fBsbGz+Eu17E5Nanp4Cv41+sj7/nue/9u/rv1n9x+8fsH8C/gCEbjanbAHBuZ17pWmzn5/Hj9W7t+vco/tNKKz+bvx9Pj//d7S+ViOgLAu+x/aMtruRfrb86/g/wePPM/3r8q/VXx3/ON3zavGMJIF9nxOvG+vkKeg3zCn683q1d/x7FT5e8Ln4vnh7/u9s/wPdbgEmvOII2NjYeCe9VyLg8n5/Dv/oqcFyez8/lx+Xses+Mf7e/OANQyDVjlqa1u+rj3Wyxm/rv1N9LAEJ+Nv9C/XI+gJ4BOGeKUP4cbdAjmK+c1cflmfw0fmmUp9d/Zvx56dwCyv9s/Lv9pRG+agaAuw/5Kmz+zb/5V/A/fQRUytOncs9vjwBzO2f875wBeGP722YAuEJwdiqoPKtGr4dy+0fzI41Wfgr/6vgz+1HIT+Xf7b88/gPGawCUIxClpVZ+Dn8pDyi16D8z/tpOqXsV/27/Ve0/ZAZg44lIPxHcWFGSb/wmrKO/cvR4Sku5xlorP5s/57SNvnb8O/7nxm+bAcDjlG9KjkDyq44p/R5M41eOAH8q/nim5DUAEZUbzd+B3f5z+L1+bWxsvADMF1Cz7AVfgD38sdjqH4CIyozm78JQ/nEdgD7+Duz2n8N/7v8HnTMAdrkX4/k9I8AR/Dbs+Hf8fn7bDEB+f/jnb8xyhR4p5+4vp/Qp+Tj+Pvxq/PxzALhyvxW/Fr8a/7n/77tuGGO5/BehWg4MaKuNtuVejOev14Cv5bdhx7/j9/PvawAAoPcSjN/Bjr+d36AhjW5mjX5G8ZfyegQ41v54jOW3jYDH89ux29/Lb5sB+KEp0Ii2Wp2Q/1D8Z1ScS4T8h+Lf7U9CdxfAMaPwHV2cMww6uRfD+MvRUT0CZEZPPxN/CfUI+Gfi3+2/ZAZAum/5ivuaV07grI7/7fwA725/0b/YTsuSTx4BrZZ7sfnv3b53j1/2bs7VC/GzpX/fvFb+dCyP/zOqTQwxjXKP9WZGPox+dfyLcef4/wCOMcPxHHCUj59dKW2+T5ySe+HlXy1fHf/b+VfLV8dfQHKIkKexSG/qhZd/derFKP7w/Unh3OLkT49/derFVP5/AAAxQggh5CP/LB8hhE83sS/1wsu/Ol0d/9v5V6fL4y+2+nkBTbkzgHRFc7rquEzjtwwvH7mGukr/PvFL76Gv30v/W/Gv0b93/GkGAPg0ODcvnPzxU8XdW3h4/G/nf337U/5Y5KNCiP35p2N1/Lgprfkh/Lv9u/MTkWYAgE/bIwZ588LJHwCCZ3t4/F4PpBHj3ePf7d/OS+UBouMfwDmm7EkD+Pk9GMG/49/x3zd+xTUAaU2xN/XCy786XR2/k/3zK/Dg+Fenq+MH+CRpw3m8UeW74V0HHdCBWoodv1N/jBvL8Iz40ziFS8uSrVHNqFFPr/27y72w8qcRXT9fqf+0+O8m98LOj0tL3hHl056eNAIkA11p7OS9S3qH+L14evy7/RtQXAOQmXr8fdDSqIaRPzZ+rwPBye+kT9jt38efhJkfkkuFPObGHYjIJ2v+6Vgd/+r70FfHvxo3jl/3IKCsJxAg1r8rktyLTv74PYhj9k0ZUK5L/pD401HEuVPHV5cAgMLek+Lf7V+3Ld/WhDzI5WUEAIjfS5pi+DTJJx9U8qfjPvHH8PmnzY/BfeJfg3vHnzoAmC8fY2SyzhHUMNj4A0pHy+3+eWHiT+3GrkXX8RUg9B8V/9vb/9jTylMWmDyuDilN6B3LVPexPyxNWB0/9oP7hefkT49/t7/AE4FcGUz7uU0qPxp2fv5ahnK/Tv68+PMYOIvaMk+Mf7d/XbLjGoD06ftNFplvtEoejy19Ootq8rGUmPkH42nxZ2ks1Dh/kFxao757/KPx9vg3noWIcLX+xo/B+AWE70fqoSv0nV+AEW1W+ePiJ3+Q8rQ2UKTODsDy+Cvxu9pfjOeDf9A5A1CPFGwjIOvIpId/5gjw9vGHD+D8IMSHUOk/LH4pPrP8WfHj2KRYsR9V+v0bs1yhJ8rb34iy3MfvxfPix/eVW0E/te458Y/Fr8b/x68rVvcVQ7mh0sffkOkW/oW6PJvH5b95NX9hkzsBbPLHxR8BIASCG3M21gQz/cfF//b2J2KQFwa9C4oPAV5fHX3l292x42/nXwPmLoDiaugAEGM49sVvjzBUGpme8P3G6bPlA/arzf/ZktrnU+l/zllfBS7r3zv+pPMZv9UHNxcf5sT6T4n/7e0fD6W0v8zzoMunEcU5KsQIorz8Z5f7+L3w8l8ff3ZFOXH0lftwPtf7pM+Lfyx+K/7zmGA6AAEZCWjjvqG+8ljsrPOsPlP+yCv5kf+1rDRf7tHp3zr+ojzFz8VH8Xn4mXhYfab8bv9v3hJ/0ouQ3xcofTUU1gn9z/5Qjpmo+5hzd/J9GpD6Bn4KdNPq5di/O8dP5o38Fnt3i5/Cm9o/19XEQ3gQoVgt5NdX8xK1XpuhlZf8avPL/rftPz3+cy99/R4XX12OexLgveN/e/uf7Zb+lnnJL17/UwjQFxKZj/gTt85Z7Wf01fwycGm79p3jZ/z52j+kxRVmkMkH8S2LX8Zvt78Bc2YAPu7kRXC+PQJi9S0joLb/NPT6946fY8n3U/FR5Wi9e8f/9vYPxP4jn2yTKVGeYFMhoPRq/dW4W/zp/XLsl4IgN/Oh9Gr91XhE/LonARbI1xjxmmO+/lygCqJvDVTNL/rPbzp9gf828Xuf5EZbfE78Nd7R/vj6hizFXyxF2tDDIZjBrXNK65+/gtXxn/Y/a/58fi7/bv+V8afnPX6vA8C3e3fOJGxsbGxgeL9OZn0d+aaA+3mu1ufMou/5ad/7N43/h9s/Chu0bjYEUKwR5muMeM1Rfxz1rYGmkh5+vJ6rXR8exX9aaeVH8XvPbNric+Ln9H+1/ZMdKZX8YlPhHzanjYpzp95h4icMfta5kV406j82fsauQfHZ8f98+4sdgBLVEoA0AVGuCeI1x+P+54hMpfyxn5njrMrR+iy/4D3WoTatPsm/Ov7Ej+1iOxwqOa1/2/gboeVMP9v+2B6VYo4ibeghho0bQrrW3C23ubPxONBXM9dXH/ePYK7Q5/3XW2/r3zv+c+/YuwCs/Dx2+8/RT2fprLsAjH4OHwENQvcI2MkzW18qfxwlZcFz4uhif2bra+3+SvsrZgDK+YpQKUO1Vy/nymn1vPpe/58e/9v1d/u37VjB6evfJ3/+Nd+H3tD3v7/e9yS4+8YvlT9ekF226ZHX6d83fgtDK6/1T8rfMP7yIsByCSAAEE+UO/OHHKB5FTP2hfBtin7Ic2f/5vMp1s8zwbEY9G8Zf1X+8w1evwiAe9KdVv+m8e/2P85fAMjO13iYMT0JsENfg2veQ39fzIo/hggtO6f8ewH4wXvklfpuP3f7L4u/vN8g7wBEgOLZ72g985MPZzlktpquyItUsgn6KBeQrK7fgFKL/k3jz2d10uf8uoDUlsDEp9S/bfxZ7nXtj87f3MinbSMhRxxafQ3SN1rvN5tXfzV2/GV6tf5qPCL+v3O0HyF8V/gCHM/+r9Ikx98h9fiqQCUjRjBe/UpJuofZI5/g/4j4852BsBsIHXLsL+nfNH5y30vaP6AUUEq1Z8Xh0FeDuw/6LZgVf4AQTzvZs/wreYQYct4jr9R3+7nbf2n8xbsA0mgnH/XgfZS8RMBXB+EirfHNCP3Ko5a3fjned7v4I/pABNGMX9C/ffzwzvbXphzU+rhbSHUT87VJy/ebpE/xXfn9KfGvjj8AHM/1o+Qa/pb+3eOfjSfEn3SF6wPwDMDXXmS3U844LQU1S05g5gjQ7N/V8X/Lt3xvxqfQp8ovkxN4Y/tLMyO6awD69TfugvPNcHWL4QVnagG6pb/xbJxtms8AHGv+nzQwKTH//0E+RlkhrxBQOlqOcIf4qzX8QOzDRjJjJv3B/u/298uZNXxePlD/ScD+Pz0eK3b87fxrkF8EGACKNT4yldYQG7h8DHjpCPAe8Yfyc7pmg7YhXwPQ1jf6t9v/Ajk+P3Hbaq8B6NDfuBWyNfyuFvPqbzwBnw5Asb6I1n408rvgvFolT043B8vvj7aj8gj3MYF+sNsf9/A+f5Q9uBH6RcF8s8Krvxo7/h3/yvgt+vlTxPJnnlEpJV8N7fPPZ6X3hff9Ts94P9Ru/xPSEwZ1TwLs18+LZlsPvPqrcXn86Zn2Wjl+fr1VX3Rnt//r4pd+L2bLV2N1/G+Xr8Yb44+NNAryEfqrsTr+I/3+QKvl6UU4vfqj/e/UX43nx79nAHzpneH18Ukx7vavfZo/A5C6JGQaBfkIfVicLo7f9IMxQb46/te3vwt/AOVaZ0B5jXw1Wv5ekd4ZXh+fFONu/9onKT9af2Nj42HYMwC+9M7YMwDvav/rZwB+YArUh9XxW8rPlnvL9+ivxqPjHz0DEOndc+U3GgFeHb+Ux8bM/IK+yC/ZHyF/cftX2DMAGxsbWvwDKEc0zhmAENq3CU+R32gEeHH8EUIoeoJYjq/it9oX9CV+yf4Y+YvbP2Ivrp0B+CxTfnatSPPr2N/Ifwe8uf7vwO/DZwbgOKtjtsHR3WflqNwqHCOyiPy+SL4M8dsarCNeDwV9kf8a7PY/dwUkB4jFTtMMgKQfwf0F5EL+VfRG/rdjdf2v5p8BywjhzmuhALJ/Xvl61CNALG/dNybHJz0HQOJfize2/4IZADQaKFJitGBK2/qrv4Dj4UXK4XRu/CiN8LLbAHf7u0Gt32pTjNyhFfLVuDp+qnwkPlP7OFj0Nf60/B8tX43V8WvOz5nyqnwA6V1kTn2P9RHQeTcv/kohAvleH0Yew+dfr77ozm7/mfGn/d4ayFf204iP3045HH3Bu46Qfn8EKEMav2vLPBFvbP9rZwDaprKtB7J+Ph5dgTb/5PjJawGiXs5yeuxjW7v957X/MYPjqYL8bYBQrnpyGxxpkcNe4G7JbDkBvIY7Wl7gbvFH9IEo34xPoU+XZ4zu9p8rZ3ZL+dH6B5TvI3fph7h2LqjFf0X8d8Zu/7Xtr9T/A4gQsg0AijzeTjlA8bY04zdLRE6Jb1zrqYPcvwlyk39Xx5/mhxqKzfgU+lR5rXy3/5z4sc9cOkv/Wqx+V/1K/sTN+SDJV9sfgVe3fwwQIBjWZCjkMwDx25/5poFJk7waIbXGKJWMGFlY9Cl5VQ+BKDhIjvk0/hUyZ/wB7QtZueJzIPZhpYzIoo/5d/u3/StkA9qf9CmcaVEw0O05Uv9JwF+aTxtje/1frb8aT/d/GP6yzwEA4PO+7xjTKP+z/8zn7wNHo4JWHVYyPJIQ3jNuHV9ByL6nPp/qsQs/qhH1ie9vi39D4g/n7A1ZLsB3haqWs/Ep9Un+3f5q/0bFX9d/On/TjnTWZvlmf8emXx1/F2P1u+pX8iduzoeWPKJfPJz32r8Kr27/dBFnR+/l9Puv3P/9EwJU3/XHGOVc98D3RZd2sv04T6ig41HUJ3GUK/0P6S+yg0c5Vn3ZDyZPmDDFj67KObJV+YDyeUEivoqf0VfzM3lwxs/hLe2flYtQDl+KtizOZ53rJn2C/7M/q+CA9mmg1SfJLwTHf1X8Lf2I8xfrA+z2X9X+uS7+KRe5Y/qL7/gvr/z3wnF1sdI67f81+jqGVl5vpec5ANr45j0HYLd/O6+3Qj0H4Gw3Oi/5pdVn6uXTK4zVp0NcPsOseqaZoI/K9QBr9Vvh/ZoZP+n/9z792q9v/pCf5QHlTfqsP7v9r4g/orQLf3jHOQIgZgDgGAcFoFNA+3Jni/3MCKgqx+hz8spfOi9B1O/1b1T8Seu4HoP2q4r5K2fjU+qL/Lv9r2n/ylLI/jL51vkbFPqIja3XgFIrvPqrMSt+fP93zI6dK8DyI0d3+5fpaP059WO9T3gUz3X3c7afc3ClF638LJ6r9bV2d/uPtSuls/Q/hSD9HEWU10Gr338f+KARIMM/N/6I9sRqH+bD9qp7x4+8Rr/Fr/Ffxm5/pX7PuwDQOwwihtngxsbGBgnv14nUXeklGPMDIPPPiF/uAIj2hA5AW1/uAFR83djtb+XHLVS1WNkB+BcwJI+UIwgJewTYzs/iuVpfa3e3/xz7o2cA7gX7fdhR+Deb/x7Afv9KHDJ+q/17+EP2j7gGQFaHCOIa4rEvAee5NVCuvDXfjqC5qeD2zxm/tJ/lsULQ1/q1239O+7PAC4RZqjl/Wf2NW0Nqptnyjd8AfxX02hkAaZTGjea0o7xR+rpIWnkdZH9+6y6A3f46vnl3Aej4zwJiCII7kriTAKt1mxEd9IHSj9lG5TVmuSUArU9a/t3+Ptjjj8KG5jt8PbrEXl2nivZz5bR2rfqrMTt+7rCQyv8K/91xVfySXW+99do/7xs//5rvQ1foRwidjyEa8yQ4jn9u/PgJ7/UT3zFfxR9Rm6F8W9/Cv9u/zOu9U+n3PIgovQOyqaubAaDWB+80A3D6R4/gav9t+nb/ypKtvA6+GYA6Pq2+lr+t2cr38e32T/uXzgAco43sbwR2vbXaz+g3eKzAWv1W2n7NiD+iPThf+4X4k5TNM/od/Lv9s/zw+AeAuQYgAGTP/v/s+OSzNUS8PhjhlOdigEwHCCGRx+WTD2m3IA+FOJwxEfvxHpV+p39svD1rwMeZG9vr8LGWc/Fp9UX+SfG/uv1TsUxW+Blred220oCBLv+JKer5AYC9P1wL7f3mXPnRsPKPjj8BH7b1YczYQ3atciv/bn+fP1fFy48igBj1rJ0BsIHyb6Tcgyvil+xq4rvKr93+c+xz6Wi92lA2MrSOYEqtmP1N0sOpzK9a3mZo5Vs6Mj/tvx6yfjwr5BgzIv1MXtUfeQ0A8r/SN/Lv9od57Q+fNosQq7bUESSdP9SLz9AaDZWfqX0ShBHQEEhdY6/cg+nxR/SBIGjGp9D3YLd/Oz/KvnWY2KtHIl+7tBhIZSV9y/vg85Vq7vntLTnpJ8Ov9Z+1O0A/RJS/WB9gt/+q9s91hXj+waIZgCtw5xHgdByPdeCf79CMT6F/d7y6/b+wzjTMmpmQ7rfuux/7Ofdhj48/cXM+tOSa5wB47NfY7T+j/c/7+W04ddIMAF7njd8/AdC1AOGbApwK4dS51fvC7zwCHID8KCF/30FoDyE+SV/iX44fav9U1wF9FuXWmQamfA//nWGtlrvB6/9q/dV4mv/SXQtj7mpQebJ0BsB2FTZ/lfcYud2/0ZD9aV3FL49w590F0Ifd/la+uTMATX77gI7Tjt89UKTfQlmmkkMpzTer3MrfM6At2QT9Yg1eI2/XTyU32zf6L2C3f8tChPIagFouxwMA2icBZv37kOdxnWD58G6ItBhVyusR3Fi53b9O4PpER92RxXJh4l4e4RLjPxN/k74Du/2LPAj1nzKZS6YZgIiM9bT/sS+zLN2nnq97tqo0IrstBGjbk+RWfmxrRvxaaPiqvJPzivh3+/OwxGO58tc6ghgL7whstXw0fDMAGvtPngG4n3w0bj0DAPD9iowxnuOV75glP6wYOR6/1COwWOVK+VhY+Q//B8Xv8zzCMWJMVo/BJSMfwrrbf0T8OCZcL5RchT8AgG9/L38OeJHPYRpBDEfXCCzCuTYZoHq+gSj38k9Ede0GlnvtO/lH47Xtj31JvqbdjLz2xnr+Bic/QHE9uQVBSKXyhy/Bl0r2RX8Hxe9F8oP1X5Cb+ZDdbn0mlcon/Gr7Dzk+/gEAxAghhJCP/It8jutnANIoo3uDEMCTOrepEK/P93og6F9wf8Buf6jrWZ3HTzGsn2rYln8j6OZPfYFPrkyjUs6n5RIxnXrh5ffGPw74mnEpPwa7/ee1vz/GNAMArTSHdQThRvxUxGO3KycECMyeA5iOt7e/9ww/5gHy2YnQ2JB8RB8mANT3lSvzqRKpNIGTjzj5RvC74g++7bAHyL4yP4x/t78qXio/G9nIn0ypspKtcXCPABdvGz6sbr+nt79vBmC18+4eGBxf1X2pj99bfyPi93rw9Pif3f5livdr8yzufg1A/JhsjViaW/y2RYBjbdeUJl0P/+AqoepnGWbz7/Yv6qEnj32i9rXkXv6l8I4Bnz6Btxqr/d/tL+Du1wCgtUVpVFLJQ/Ycu3Cu7aY8Tiv5CH5NnJ1I69SrMJ3/5e1/2GPW2NXywqLEOJj/GEqNT5+xBuyLb4TvK/V3+89rf69cew1APHeEPI+B5d7fvspOMSqhHcjlt9PvBLYTS9GRxfJRfY9V/Ldrv6vb/2uvu/5rfyVX6tID+Lk1U00+PW+dSgs3mXJejOB3xe/ZYmYvIPvK/DD+3vhf3v53Qz5CyGYMSPkcdtMIrCmv/R9rfz58fFT7Xck/nu+32j+tx/MW23yUvmUGYBx/hI77oAGkr8FoKtGTjuBvxQcauRtfP48xpTI/jH63v7f9MYs1zyI9CTBC2V/C+WNfyGSpQGDkA4BsGUdggj7y36xv5x+K4wyJnRx1/NfyKzne2v5f3RCz8znAmQkZXyTkkOmH3EAL+ThwHP8QcPdnS3LczNbUy38XHD9snP+CfDV2+8/hs41a1s4AjIV/BPxs7PjL9G7w+tdzfkrndzd/bkOfx3vLfTHmvtVy/zh2DH93/K01XM1ad8x76bHYWfMR8qH8mE+T3+1f2/zmhXcBQKHP4i/rxZMmDoQiKT5T+zj9O8E5Ap4Lb/0p9JvxX8C/Grduf/D71zw/BZ3h/NiwlAeA6n7yiiDyzmnuT/eUt/DnMXHxtvJeWPnuwA+w2/8arJkBwOVWjMJWjgB3/O38lT7cMf78rOy5soDT184ADOdH/6ryWB6PnXg0yHlSyrE+3ijtehvGb45/PGz+Dyff7e9of2qEH4nPXHkW3AxARDuTQe01AEDoFySYEeVTeZy2/KPynH7BSfUHZ/ML8WuQN3JXf9E5wnPx7/anfcnyET7DhwgQ8/OOjAVzEfpcrKQfs/hvAjymu+u6Nwev/6v1V+Np/iu+Lpp5K3Cf/8zrZgB4fazL5XV++eS1/2PttzBmBNwzNjv1zvh9dux6u/11MwD5Xxsfp2+bARjPr0YEkEdgsczkKdYvN+wNX24UfxfYuYB4yo7xsqSf+YfvMSjWkbn4vPw27PYnHc1k+TUARv1z/x8pbyxKFHsTdShLahY1VF2WiIXS4giSC/r1qMimb+cvS7byTaCj7siqjVD1YPDAzb/bX9OFz9uFq58IQA5fOH3DDMAUfjUC2hh+fn1W2LzlrfwbNuz2XwndDACn2dIvy/F5nV9Pk5clW3kdRo3c3zkDcL28LMnlkxU8gq4tt/dS+przdxo/+neUZ/ZDOXaqR2CxynE6lYtCfgp/R/wctP4XZdKIMZXP+CKSz+Df7T+u/Tk+M7gZgBjLcf2RDx/CAEwaBP1jD2YsswzH0Z2KSIWTc/oM1Pqd/Or4leh91jyuh95uav+z7nf78/GXA4dQ7GP8JfdS+przdya/AwGlVrkXq/kT8P3f2vvB0wMZWP8FuZffi9X1v5r/Kj48XqjHBG3ttn7Oglmvgc6/K7xo5X8du/35PPbG6l1L3zYDMJ7fiLZGFMernBTv15Ybxa8EOR6M2UblJX0AIK8BuJBfjd3+w+XlXMNfVaAaA9Rjghaq8QajP2YE3ANffCO9IPPSISP2z5+hv9ufz2NvrN619CUbVNmR/EMx6nnvT+V/O1bX/2r+OfCOkPYMgNaLVv7Xsdufz68ega/Wz02ZNQT988rp4l9k1l+H88sK7X8gjMAV+pRfmeASfn11+PC49r8axDUAAeB8JzqRhwiNNUSF/sGCWTNwHFgu5Ql91QhwIj8Zb29HsrJ7Mbr5d/uXuGoGoOHb4eNjZgA2NjZGghsNaUdJev09Am7n9VZ6NLn2uYp/t79uBiD/S9VRe6+sz/u2kj83JYnFArr92nKj+JXY1wBI4he2v1OOrgEohdxqIbM/ZmKjvmoEXNk34sb6rhmAWH48smojXPtcxb/bXz8DEIp92H4EIF9/ptJnsJpfDYr8SqzmfztW1/9q/vGwzQDka3xW/TuMAGv/r+fm8nor/SP3M/53zgDcrf3rNXN6BF2fb+V+vT7t03R+tN7aWB+WBjiaEpr9fSPATn5D/C3WyOS1NnJeq66Lf7c/Hb90HMyQczMAMRYddrymf5aGao9OnxgBRTjXIiH7TO3DJjh5yyb2/1J+1wxAxvk9Bo3qVDuaPXDw7/an2j+Un7+6IcL3Wfr8+Vbu1+vXPqzk31ABV+PV1bqaf+ODUc9fwKNzblTHj+LPnF5/jwDb+St92PGv487z9Qiaz7dsPlWfMtmWRskWJ8X7teVG8SvBjufiKYufjEnfdQ3AAH41dvs3yM87GKz65/7sbYBow5rsM8LwKp9evxCzQczDyq6rOANQ1Z+RQKHfjH8y/4AZEDfu1v5oBN3Mt2w+Vb/AyPex94yRVvO/HavrfzX/RfgDiBC+39bh+zmcs6QHPnP4pTx+y5R79Pqrkft/O3hdUug347+AfzXu1v7YHyn9NX07wuKWm83fsp9kmjLVfvSThPOz+Ufh1e0fAwQIbNu19M/92QwAgDxCL+VYy6qPkK+XBrSPk7v00Yjkcn5C15LHsOrn74hfwo/039z+uR+ZPzFkKZb/kr70fvbReQl38wcDq1vNrdbHuFt9382f+SjX8aFa26DkeI3Pqr8aK9eAx4C73kKvnadX86/G3dof+5NfRU/Jcf3b9W/Dj/d8FiljlpLl4/mhS/82/Ayka7q1ZXpxGf/q+l/MjwvguqXk+TUAPfofHHcBlCN0rotXykM6k0OfvojkZW93SdCXRjSz+d2IH4re7qQY/2R+jX0AeE37Y3/wmVL5i+rfrH8XfrxOmhsMaF9ePuafO/Tvwv92rK7/1fwL8Q8A0LX59H2/pBxCCCEE6NWXuofhi97onq4v2gcIgfhCvQqz+VfX/2p96SwR6987Q7OaX8JvrAHz98WH75oRJc87WD369b+r+f34lfb//C1bIq8/Sv6Rnh5Y9T9//z6fYghJ47xvN0K2hjdRLtWNp46foo/LKfPH8xY69W/Dz+Ep7TdJPx9CzJDfnX9jY4NBOrGCuyuluW93Zn5jY+PFwANCPEzh5Ok+7F79u/Cz8I6TH6K/uv5X81f1FDPFmfKNjY2N9cDfR5FJkTyeH7r0b8PP4CE/4H791fW/mH9dBwBdA/AVX5zf2Hgr3n4ORNc/v4XV/G1415jvr7+6/lfz0/WEn7EwS15dA4DX7KfnP960jo9Hr+Gq9XE5bR6nXnur+Dk8pf269d++Qv72+Dc2lqP7LoBB8o1erK7F1fzPR7v2pPr1yiXM549pGIV2MymSx/NDl76Yv4qfgTxH8CP6q+t/MT+up3x2Yab8+xyAkG353+MyQ06ezu3QqQ8Ckpe9w4Sn6yvsR4B1t5TO5l9d/xfot00LZ4lY/5PvAhjAH+BrwHqftnQf9hX5Ufxvx+r6X82/EP/Sh89v+dljx/12So6fA2DVFzH5Pux8hmIFvxsBXPfhi/FP5pft/37759zYH/FJeqj+zfqML1fy++aPfuU+8FiM0c687j76Xn16Pfo6fj9+pf0/f/G1BWf9zZJ7nwSYyXr0Dy/Lz9Q+Tp7DrJ/7v4Kf0LXkjw/nPIzNXhb/En4o8bb2T20g+PN5bgYhBzzCtuuXuJg/j39jY8OGmJ1HLjvfXnq+Mn/22s9Stbxc47frr4Z7BPxw7PjLdKUP+Wdtytl6kv5xDUBuEw9T8IAx5WP86HNySV/OX8PPolWMW9/V6t+If3X9r+av6gnXLSUf9i4Aaiwf6rM8IDmhZdVfDWlEtBT4zLE6qdBvxn8B/2osbf+IPoTaHynFeJQ+EX9lKF8rxfIAcLyPHX+laPVb+dn8ufwm68GXAsf+6vaHZfgDiBCorTomcRmA8v3edv3VuNv74At4XVLoN+O/gH81lrZ/KH3A/uRnCZWn8Ch9In47fmMNuM8+d4+3Vv8J/BJ+pf177uMPMRSpVf+DbAag2GIsv8IjHGOUs7sTDnPQpX/uLz6n/lBo7MvpoSFv2UT+X8/vRN5v7LKH4r+cn7D3pvaPAPw1AJ/9xXMzxPZ6mH4VP2FqVl7C3fzBwHMG1jmE1foYd6vvu/lzFcp1eml/vaZn01+NO6wB+9Bbn/jqbJ8du949cIf2564ByK+rwWdOfb716tO+XMnP1n0EgGOtlSkDjTXmtj7eQ5eYxw/H/j778ZTFT8akjy/B4i7JmsUPcvy7/dv2i2sArPrnfl9PZIyVefbvqo/3W3m4Fr+qX+nl18Z/1/a7Sn+1/fX87ZFlhCAsIXD62hHsHH71feExMA7EcMhiiIHzk9OPqM1wfjK//r7432x/Ndj6h0+bxRAD13Ytfb5dY7lJ+0frb9gwauT+zhmAO4CqPWkEXZfs1ed9uopf8EmW9unLI8CZ/FhPtiPZtZ6D8fPnuH68S7+bXx//b7Y/W7h9ewiSR5Ra9QEgew7AB2mlDq/hp3whi0Cmon7pE91/YWyzelye05ewml+J6loLrR6UalW7TOYXsbr+L+OndgbIWyQU++iSJn3Ot8PHyfxV2ZfhuH+bSWfre/F0/38FAaWjgEfr1tG7pO+1vzq+jWfjXu3fngGg8xqbT9H3zQDEXv1BI8Au/rQuHJl8VZSwmTYqL+kD+K4B8PIb4v/J9jdAeo5Cjzxm/wD+qgIh779TmwRJ32vfi9X8AqRDRnLx6frTca/2l2cA7N49Sd9V4831zwvQy48r4yZfPZdhVPxPbP/8+QfUth7tEZI0CsBP/NszABv3wr3a/+oZAPn8fdAMgMKVekfxFLUqP5s/20emUfgHwghcoU/5lQmm8zfjV9SfBfdr/yhsF+Ov3hUAqjX7PA8RGmuI3xU/Tr9hN8+zHAnaPKGvGgFO5B+KWXZX87+m/a+eAQiK8/cxMwAbGxszgPvrZ14zgmjpj/XrafLR6OUb1T53i/fuclqDszLjKnzbDMB4fk38uVjwVi6g268tN4I/CqlkP2YblVf4t/gagHZKlWXwwPaPwmayP+AaAFqRX6QpeuwxExcfBy3yVPYlO0h+O31mP1eOQyw/Hll1FTvbx8uvjf927Teo/ZEGZyU/40jm+K1/JGjpS01UzwCM5af4ukGRXwkrP7fee7914DkYHf/T2h9AOQF5HZgOAH5ef/38f8g+x4j38fomEN84bTtILujXzza36dv5mf3WijnK975X4aMHR/xgs+Pl18b/q+2PNHhLkP0lygXeH05faq3y+f3j+Tm+PgQIpvmW0ZjNP/ZZ/vHz4JgA8HkODJ+fwz8eb2//HnnI/vEzAGktPs9DBPn95V85EPoBMl3IdIg8kx7dJEavknP6ud9oj0q/k38oUj2jutaAqgezew5+le1fb//8fKnq79wfInyepU/YKuIp5IQ+ipVGVm4KvzZ+AtL94rPvJx/Fj5tC2zRe/fRTxfovyL38Xv1faf+r/FHbiWBYt8Qrx9y+J4Dy/03Y8ZfpSh+o/fgqeqtdSl93Dc88fo6PM0N8PvfF4j7sWl5+5uxqy/n5I9qk/cCu8cZTFj8ZplgsdA5d6hoAwv+h/B3x/1j7m9Fa4x/zLoA/1IvPy5QIRVJ8pvZx+neCtet6Kbz1p9Bvxn8B/2osbf+IPiAn8rOSOUOb4PQNMwBT+A8I8avWhVv3YVvvt+65P9vCn2LMK6Ml+0VY4v/F9rfIL8IfALOOx81zZAJqXfH4/IADeen74CV4XVLoN+O/gH81lrZ/KH2g4PWveX4KOrP4Dyjil/Er74Pvsc+9612jj98Fw70bZhb/KLy6/eN3Jb/RfWDb/9ifZgDQmj+5Llet2aUCgZETwDJr3oqmPvLfrO/ldyIfY3dxKOKfyq/k+IX2p45rgPN8wW6kyfOv7lHVAZrlC3muf5SVgsnkcSA/W74d/zTganhAd7WA1//V+qvxNP/xj7w1zyJdBKipkAAAEOG8ngf18Cs5Z6M/b7wKW9AXrwIfxi/dFdF110RQlmt6m6dGGPi74/+R9uePa+Z8+Z5LEPO7NWpbZD1ltmt9wwxAmMFfl+Hjl9F6XeoVmM3ffB1s/jreDv0n8Et4dfunuzYav/ayfzr3cR+d659jubdyvHaers/Zuar+V/Ovrv/V+pydt7R/OZKpr3qOxfvYqaui3VdID+WX1nsr+aAf4I/d0z/Mw8oHdwDM8f9Y+3fQfw0QI/wI8O0AQOBmAJQdFHyFcOuKYe1VxBb7ev7VT3LrlUtP3pPyvf7MRq+fvfHftX21clrjSn9s5+/8+vDdBVDlOJ1ejOWP1Z6abcbZ/LF7XDWeeI7nwTHySX5Y5L/V/mP8wMxUrap58z570VeDceOHHBLPaD9SRYTMliVNuh7+mZNEs+2v5v+V9vce91efNxir/G8PYOQrqPMSPekIfn35WVeEf+0eD/pR5mf5YZD/Vvv3Y9o1AJ/SsZ1SZSVbFvvtNI0inrpt+LC6/ea2//wjpPRHelun7c0BY7xriQGK+83LNKb3uDFyqEZK1nQEfxGNbQQsPmteAHp/H8fD5gfxczx1caLGfqj9zTjqD9uJRjmLlaNHHaZ/BU3G/Wv43nh6+6+G9/hbXP8hrbOSado4efCPAP38DsSvrd7N68Bq/iH1/+z2D4VPp8AmZ/EHAICvhm5dHW64irja15Uezxt/6rYWXg+WR/Dj7T+7fmOEwh8AaPqL5bN7sHL86XnrVJq2VjkvVvJ7bQx4lv9S/tyHl7b/VPm3AxA+/fz8eeFFvjTZRktH4iHy37+u7fMd2J86+adC/Ib2eiDoz/+FeHb7f21U9XTkA8ojOU4rfSlfn0NSnVLlu/lF/xXxezD58J+u/3asrv/V+tORZgDCNwUqn8M5A9DkIfKEpZYHpDz7Vosxkwel3MtP7Lfmm3yNWZ40ouuFpC/xF+UGxP+09j/qB6uEvATBFU5pS//gk+wDl6ciIPKd/EPi/w6kqDRtnHwEVvO/HavrfzW/4Juzi6FTT5EElOes4fIbPqyu/9X8b0dv/eP9vbySfU4+qP0/X3L4vvN4rsFy8pCpd6ecXTV/GYjtKvgxwHat+Vl+qOTu+r9P+/ej8xqACciv2k2fqX3z2FsMpbz2b6xcz4/1dHmqflt8lDw2Xhalsd/Sl/jHx/+s9pfLa6T99U/Zl85PW/nx/pn043drIzrTtmXL951U3mrPyIvu+xfzs/zolveVv0/79wOzWPMs8j573mmImTwyKeVkS87xtPIbPPJG7m0Pyb7U3i3+Db4O8fkFhByfc1L5ltyLXv5R8QNANUIDNGKs5WPh5187AxDTk+PStfHovv9KPsmPXvnz29/PTTFTtWbxgetl0/cDr50BsEEa4XrlXv7Z+pKuxv4I7rvW3+z212D2+TJ3BsAPg/16ZBbF97GPhJ9/6AgY33fekMeiWP2kP1JusK932RP/89vfz53lP08g+DyJoH8GIL0NkBAFtJ178Wdq3x1A+TdS7uWfqh/RB8JI075CX8Ld6292+zcxoH41wGYlGmv5boyI//McdCVfKDer3MsPUH6VUnzcV7EX2K4qP+F3bHT8T2t/L98c+3NmALwjiREjkdUjwNX6ku6eAfDJR2CWbey7NpZevV64ZgAs8og2q9zIH9E/K5+ob4ev/sxkw+N/VPuLkPko21gbfz7lSvutGYD46d+U9zKHbwqZVlqLyOXMSCJCScbmhZGIZKfQmTACHMIvQdDPm5UqUrVXh/2WvsQ/M/5HtH9j/yFrtQ/ST58lruL841IODT0TP+E/Wd4Q/0hcd9X0HHj9X62/Gk/zX/g57J+4+6N3F/czB4Dz/uiY/baj+/UDZHLb/cR1ntZX3Xd8bHD4B8X+UNgEtEelL/Bz9m0Q9APmI+Qxcw5ZpuLT6qv4J8T/rPb/5rkvl+J84Wsg5hOkeYr58t/qo93SeVPm24x1+TOv4yf9x7DGT8lv+j74GABC9s/6C6PRl243a8nxO+Spd8q77F8Qf8u3qyDVjVROa5drw89Fm/Y6OO0xHYAA5XfcmS/2pvm7UJaENGNzfq+WedE/Th/7xfldlguVrHS73KPX5/k5+19EJMB5rf7345Gt7AWUb/lZfG+39SV+rf/m+B/S/kX9BTY+ZpdeP37rvzKSt1s6bxp8lSavr+KfFT9VTr1eC+0mlORefviW5da8R64HR1RnVrte/abdgfE/rf29fNfZ5+9ntq4h4v0WD+q89r5jzv+r9K+C7A99Hz/fvjp9Lf9oPK395fqRpT31f7Zb+lvmJX94/TH+YT6Tfiw+xWq/5njkbco6/fwRbdJ+2Rc6T9uP6arxJEXr66ec80/L3/K6P35//de2uPxs/hG4mu8kjue3ApVqdLX5XjuzsZp/Ne9q/tX1r+X3+jUjLs/528s1R1//g0lptvJ6KxbN7w/xkaa95X4ta2Ty7A8svqCOzbc7ADJ/23Nv/JxfFqxp/1+AfwYAj6bo0ZV3BqHtocz/K/BG9Js1cp/2n8WIz0PuvByl1wuX3Rh79Qf9AHD8+Lr3fJyt+QFk9E9fuzoAuePIPurONvUVHYCp8edu37D98b0P1ns5LPo994fgeyswzAY3NjY2VqD7BrkxPwAUf4TzhyES+fKHs051+sIPsOh3uwMgKDf558dfuHK79pd+wKOweTsARvv/AoJUFdojZc8A3AN7BgDjXu0/mlEawXtnAGb52wf7++aj8G8MP95v9dOr/3T7Wv37tT/qWFV52T+Lfk+7lXdXVHcBKK4Sjt9iVHqYwHay64pDdnlijGRe0j/SBJxvR9DcVHDwD4XoB3JK8tOqf9u4eVza/qJfAqO5foOcts5f8fkBxsa+PP6XQ7omfbb87ZB+4cX6deqbUXUA0P322d7qOQDN74Y5zwFgv4eq3ynd++U5iPps/6TjffUOeXWfNPF7DYTfbHxKfY7/svhv2v6kneZJ2/ZKvA++iku6j186fxX6TX6b/+74zfeBf8c+MR8H5XkbGveBN/MKuy590b7iOQAu+xfFf7/2DyiH8mI12PR7noOQXgH10S07AGmRorrf/ps/5Hn5ymumXGS/JmsfO/UPf1r+E/4O1I/Q6KYleW425wWjPgj2lM8BqPKSPvYX+zM7/ont59Ln7DT06N8PpT5RHyEvWJzPOtdN+lx7XBj/0jEpxR8AjmfEByIPX51cr7o3XtAX/WrYn61/Zfx3bH8JQdi8MNqvdilmAFBZuhfPjODV8OmrnnTX8F+nX7MC0sNpKffryyMwINm08XH6pZ38d/za+Nt+Xd3+nB8tPcUIWF3/pz3tCJ7zZ+gMwLz4+x9QM+ZRsH388fu63aSJ81rWU/+7fX4oY+B+YGOSf6XnOPDIa/SB41f774u/rgk7ZrX/45Zg8hmACJA/m7t8B0DKn/LzazggG2hfXgZ/e7N5QV+wE4pswF4iv2lJU5/kx+Wwfc4PjkfQT+MzQHMl+HOs5Wx8Sn2a/8L4b9n+lZnsmhYC6Hyj0NTHfpL28jrD56/Gn7Z+WU9G/wfEfyvkP4gteQJ3+PXqz3h/HwX6tDwxO/59HcIHo+qjvAr6cycgv51yaF4Z7L2Kf8RdANKVy165VN56JbVXv2VTw2fVl+ytjv/q9u/BvgvAp9ypj7U6rRT88UzJ+9hjnikKRMhVZP2iTCX7lsjksZAAAHsboFKf5L8y/uT2ndo/s8M+x0DiMejH+L1zoaMKTvvZ2wDz3jzeR8lbIyh2BK+GVz/X4XS9cqm8lI7WLxDRB2p82rKn0JfsLY2/g88qd6GjfjXw1t2ouhcxIn7P+9hHoJc/6eC171EIUM4HSBM1o/U19gH88d+p/fOFEOoXuZBLm0Jfgr78nBmAO+DKEeBZK2WNtfIj9Vt+SbIRMwB3jP/NMwDa/Gh9KxZ9d4wZAdI2Pt+N6B+WH6PgWOzR6nP+K0eYU/SvjN+L8e3/iaOe3eDk9KbXl+qjrl8S+QxAjJ8P3zQwaZKTo4II7T4Zlkt5Sb+JC0eAESDm91ep8k59ytWIPwdiXyM+iz7+abg6frFZbjAD0Dpeqfq16Kvs4bZt8Hn1rf6Pjt8CbHPlOLIHXv9X66/GaP+liwpn57uRXwQYAAAU9wkf3MRV1JJfUsVb9Zto3aUwQp6XTH+yRymmflLaU8mDTx/w++2hrJ8A3/EVI5faT9IPcPAviV88Ca5r/5YH7H3s1flk1Aco25+0h9u2wdeh73oOwIj4b/o+eAB0n7nZsqyfuKV30vfWkc/+/Phbvl2Flfwx3cXh6g38fW0Vhg+EeleZiWW51UiuhSI53RssPxEOOf7FxPqUvFv/m+cPgHbDVPEZ9U/+RfET/uQK17U/hyAWlqXN38eq/dGvN2T9KAWfUV91/M2Nf+k14R7+gLa3YUT8d2n/4hkGSZb3kwm5lJf0G9P6RVmhflMvHFKa9+mplJKvRsvfK9LUGiGroU8eJst7nwOghaTP+XNV/KcXK1Meq54DoM9L/rTzj30OwBiU/NrbAGfJIbvPXyXPngPQpT/Yf7v8Ju2fDYNjAMjzn2Jz5CAdDxqMrj1pzQ7LpbzV/ipY4xqVH11/ve23Kv47ANdBniZwcinV6K/Gwvjv8QOwGMcPI5wP6in2c3L4TiH36t8i8hu0/6IOwLjAW1dba+Srob13eVaKP6/Ic/C2US/Plfm17Z+fFfZNuutG3nz16NdfGj987oYGAFiQxu770EciZmlE+Svk6xBv0v4x2wlFHlB+sNz+/kKMP4CzKxGyDe9n5asPg9D294oUf16R5+DtJvbyXJlf2/7BuXltlPAeN3b9xfFf9fw7CqvvQ387vjMSa/mhPhWvznuRj2jycQWVUvLVWDsCrD+vyHPwtlEvz5X5te2/dARctY73uLHr3yv+q4HvV7/6H0AxIo8oP11+g/iX4utHZNLpci+8MwARyr4IzmNI5bv0F44Akz8RiPvaL8iL9Ycq01q/kv4t4l/Y/gDs8zJCzL4xOXmAz6+YR78A3iHl/fr3in9jY8OIfEST96uplJKvxtgRnT2lRjKxeETzbDlfM7pyXv218a9rf2kUKo9SZanNPi4t5SV/2vlbxP8dB61KlyNmaUT5K+SLsbL9j2OAqzNg9g+S+4/BzwxAzO1mbfztX7NyVO5yJDewn6FIznS0/MiHw58IkD2zLmGSHMVfw9swgv7Bf4/4L2//QkohCHKN1Ga/yMXvn8DIJX9Efbt/TT6zvmx/Km5yFfq7+dfRH8D1cHXegcqK9T7hO+PiJwECAEAojsiApKX8tOrVb/vFlZPja+vjcti/1fHPb//F98ET8lc9B0Bhfypu8QN43Jh//W2A94h/IX16Fh8AfJezAtTD4lly/ByHHuSPAo4AxbO5yTSTA5SfqTyGVN6rXyCgdLT85A+ZH6Hyq6yzWu7Qb9XHUSbW+7j4TPo3jL/A/PYPTSm016mp88mij/lJe7htG3wd+reKfzVWPQjoOEzRD0eVYrmUV9r3+j9KvtEHam2V3+R1z/tAulbBK8dl8/Ka/Ej9ll+STFNGw3O3+K9s/16Mtn3tNQB+POObhEH8bmcOij116bHykh/pktcqSLVt079f/BfjWzcxq6wyDzBVfpvrUDZuh4hwtf5GG2+v39+L3/YDFtHm/4FEsgs6ADb/roj/YmQXAUY4f5jr3+VaXsZv1y/5Kddw/ZL4V46v9DMA1pGC9QwfYf/qESAuL6Wj9QuED7IPIp9Vf7T/Q+Pv4LPKXeioXw28dTeq7kVMiv8qoPu0zfL59tM79HrexSfr3z/+K9Bbt/fh/zvX0VT35bJrwoHOZ66WcqzP2GP1Jb5837w14NJ/dvGsk0+h36rPCPUaa9Nfq75kb0H8TXuj5Qq0/KPq16LftEfUmcTn1bf6Pzp+C/A68tvWlXf87bwVzM/VZflu5BcBBgCA+DknY/me8TMfv98NEf3uMnng5DknlZf023zpjXHhmwOgrhbmr/LW6WP/UzlAdiOyw7Vfh36rPkMar4VKzsan1KfzN4j/sHRN+6uuUue+XLLzrUsf8xfnb9qRztos3+zv2PRvFf+laL+vPgZAUtsvjKzf5v/Y+OhQ14lHZA/nJf0nxH8FuGvw8f5ofGCxVr/3HoBT76/c//0TAlS/BRAy+XH2HuLqlwDQPEGeF/2T9Un+I1/6H9LfWOw4SmS9CJN+ZS9+dzH2D3lSxHZAqc/wl0ZSHFQ5Jj61Ps2/PP6r2x/VYxlEZoerP3qXQb/mL9qyOJ8bfN3694v/EqTbz/Bm0Qco3bfqt/jx/fE9/rX07x7/bFD1AXDGQ/1cB8sm6OeclD8Unzq2mP7mq31nnlsLvNc1ALz/evYefancbHldnr6+Shuf9fqsu8R/Vfv7/ZWlNvvpLE3tRuclf7T694tfCaxjsxHJLWbSFud5AVhpz66PtggxRojA2D/lkP5kl5ODQf+m8Rvgav8YU018/33zCjtD5A1+M/7wjnMEENDecpyYjRFCI4/snnIQ8pJ+m4/3Xwe1PvJf4hkuF+qzsvWVs/Ep9Vt8S+Nnys1qf9Hf/HoZlqlfv+Yvz1Iyn+qMTBX6TX6b/+PjXwj01cjKE6T7+q32V+Pt8f8GrFcJc3p8PvXauc1rX4KOf56+FzZ+r0e0xefEP15/LEYz4vOTS2fpW3F9jX9ohbys3RyB4uvS0a10sdhF3PrV1G/xx0KOyx978XjxyOv07xu/FmPaP/lV1A++N6HISzw6fZ5f5XxhH9+Ou+Z83NjY2LgMvh8AyXKMn45NJPInF53K+hK7Qi50APrtr45fi0HtX92AKP+Ac52XoxNk6UAQN0C27WN78C9gaEPHrqjzz54BkJ+ToPWjD1b+0TMAT4ufsuBp/9GYxThrBmA0rq5xfP84/jcG+Lp063XqXv2n25/n39j2J+5/qNh4Ke2fRb+nXsp7J6prAPRmDo9aa/ZM+bR2dzxjAOWt9iwLQ0HYZO2G/2ovemHl93pE1/tz4qct9Le/Ecfx2fLGoy/ZJdJkk0wbej1YFv8kSNeaz74WffT96la5hNXxr36egXS7n1j/Tn0zmA4Avr+WfetYQHksZ8t/weat9tpvKUt57dvF+PiRdmVq9l3JNv5IF1K0L6f/jPjntT9dvmmv+aWkeBtex33wZ7s17uMnU6I86I8jq/+z4ufxHftEdB95HHs/Ob5vu+M+cJe+aF/xHACX/dvGP7b96/vwA8rhvOyfRb/nOQDHOwxDDGwHAI+G6tHR99viyKDj6fMnMHnRR1m/yc/6L43yuHJnvo4Tar8kYD3CTstDkf/YH5hyQvs29B8R/8T2p8sjFPUXmvGR3qj1W35Bdt4ELGFRHOWEvop/efyT0boPPcBnHFccSvl3GSpP7eP0KRste1xeG5+Uv2v8s+GpX/wVo/1q0vIb7ZtmAJKFQxpojapfHqSePgIuH8qxgMwPyF8AamRXPwmuHAHW+rVfGLjW8D5Sj6kaSl/FH84cAPX9LTzprqH/iPjZ+PztX7MR+wOSNw598rxQ6wszAOGsj2RWOg+L8oS+in95/KtxzzXwc9z3GTjyeS/uGf8oRIghHqPv7+fsF7h8PqH1eYWyfpvfZr81A5DW47N1+0yafPl+zDsYVGcDlwchT+kT9ll+7C/VDQoo5bpLofrL+l9kavs2UPoG/mNtt5574eMjbBf6z4ifi8/f/rWHreia97GnNffGOnfvffC871Jb8OeOhf+QL4r/1sCHnfc00SLNo3C/FJJ8FFbFv0GDu/q5vjo6vyKYutpcklu9stq3XsHcI9deRa2xL8HLL5XX+GdtxzvFP6P9R2PfBTDHrkQr5Nt6kdkOO8x97HX502qxn70PXscfASBmt5HFwmQEIG8DPOW0/nPil9Hb/qW/OK7aXyYvEzT1RX69/b/2KCLbDqZviseUMbblFv+I8qJ9Qi51LU3yo4IjrUTIh46ArfxYQDjR9M9q727xj27/0ZDicaJ3mHXZ8Gxy/DVfgOZ6sUUOQE8WHWUYH7jylMzDDwDF9eTWiZJA6Lf8vVv83vaV5kCwn9b6tfL18Ovt62YArCPw0T37Hv6RI0BpRETJR46Ae/gl7p4yT4r/zTMAnP2RM0gjcNkMQCy2ulcbURla/yhX3T8uydv+EGKjfSRnIsiZKW+AkP1G/N72H43ZfEr7aQYgxrIPEb9/AhD35mcdjgiZjJBTbmGeVv4AY7/JP3IEyIyICn5JxwonfwRor7EK/hX6D4z/DjMAyT/qOAc46xfTcHpmYGXJmLW8gOXxMxgc5uOw42/nNzB+Ywag1LTIfSNQ7LEu758BaD/dWR7h1m+Be1L8I9ufhnSky2eCLB1rf+wMwP3jP4uizSTP1tHjhzaa5B3+uPmzNfyTMU8pj7I0139i/EY+kz8Zr7boED4D/xD7Iv/i9wds/s2/31/Bw1s/u36/wD+i+OIrRl6baX8Zs/Ie/uwHPOZF0o9kxYvkqANg5rfEJ8kH8Q/HVTyT+bnRFR6TUTqavGR/Nn+5t29E0TcC5+xa87383u9v3wxAKV0Rfx1Pb/v3lV8/At4zAEMRq1y9p63d9QPo5P+US/MC1To6Jx/Gz5e3yb38ncDXMeDrDzj5E/j/AIr1YqDy330FuDVYqjxnV5EfwZ/KfFP8fANRjmNo8tPrxviqCGu+l9+7tBWqT8+Kvyjjan8atZ9IztnCfjNy/33wc68BuH/8AMc10L3pryBd18+FJcmfCm/7p1/SKo9TprwX8/l/ewYgjRJ8W1rHxqks98LH7/WAt/uM+P3bXMxm4OpJOs7P/Gz/5tqHxhemLsXXmmf5CHCMmyk55UkrXlI+gB/bNeUfH7+z/VvpMX/SKufFVP40AwCtFH+25iX7U/njeVx1bel55KyHktyLtfzlTMID43e3v9N98TQUCjj5z/bD9cRtVHkHFsc/FQEALK+pESdMBHkvP7ZrzXv5tXZnxb/BIgAA4GeiU8/0x0/c1uYpG5bUzw9QPge+b4OvHZzKci82v4/fu83FNQx1PUnH+e/EP3QJQOoPzl422Px2uXsJYODx04Op/KlMhLLvlfJ4f+WcUe7N9/ADlLFY0xY0ZWZi8+vbaEb79/rpPe6fhpXx7w7Au/l3B0BkiHxKrcdb8pQNSzqCv9zbWnXk5ZyPOjm2a817+f34jfj7239MedqCT9tmQSptt3b7+KMvldaYDWvgXdj8Tn5n+7fSF1wDgPdBno9nhpQzNizpCP5yb6tfxMtJHwl+Ha817+X34zfiN7Z/Zl9VHkPUF9ppAr90XBTyX4l/FlrPvWfLt/wV5L382K417+XX2p0V/0Y/uNE4NQLTjNzX8peadZl3zQB4yj4z/v72p/GIEbCJ7wdnAI7CnSll48zVe9oetEpI8l7+b7l8nKzJD+Pny9vkffy97X6k2T0HRR6nTHkvpvL/JSWg1+AifLtkeDQekB4vj5RdQ34kfzliqEeLxhkAxE/bpOwOGgGr+Wl4yj4z/v72p6EuTx3nACA+C38Uf6HhkXfy3yF+7hCR0l/B8QPBBCbJn4pR7X7II5MieUJvfWK9WfztXvRvzQDwti1+UDo9I3ALnj0D4Mfq+Gfhau6xMwB+rKx7PfB68jd/jEAZeW2mcwTs5I/FrljxSPKnx9+HiNKWX5366/n/pF702a3IWydWKpzc25ucyW8aAUdUnyQ/L/diBv+OX110PCL6cJETY2cAHLg6/rS+zK0zm+TffflXJyXHYMuHWj6S3z8B9+z4OT6LfDSu5mPwB9C+3/eQhPNzhAAROc3ds++9z3cmP/eMARJBsCfJvZjAv+M3xD8as+uLgcR3mT+L4u9DQPOqAQBiOP/hedcwOKrNv5a/4dclPPP4pRmAmHdPQpYe5+/3Y0BySj8vr88P5S9AlBeBymJ/px8QI/l3/KyOdFxK0OhHgGMNnJTN4JeM4PNqND/ed2H8hRwfR0/ohgzEjr+dfw3+BHmgRtPZaDvkMmJEFWL7+1nMj+UvZzvq8vLTz4R4po9oxvCnp76l+EGMeyx/P3z86vaXjkvSXqM8pR++FljZDH7lDMDPxj8KAf27Gj7+iH7xcH42vx+r+T/4zD6sQy//qedzP1+LWYGn8mO9UXauxq/H77W/9e+q3zsC/JTD67fnOm7bDrfuq18P9vAnWQyAr6GKACGXT+FfHX9th8/n+2rZwff9IaX91tSnxscJ/GcHQJoBYEcMeJzULOfAWH5phG+cAaCOGk28jvHJEP4qTv1z358dv7H9Rb8Ee4q4mv5O4DddA/CD8b8Z3xVzAAjHz0daQQ+F/N3A9XDW0zcPMcTjR/T7OfudlfTX859zJlIHgF1DD4ecnjNk9F3XAPj5A19SJf+VNXAcpxz3WP5++PjV7a9cg2btqdew+eN2Dn84P5MpPq9G81MW+vX9/AuAR2bekaIW+H5xq3wUVsVvRXKnt0v0dP0PuPt0ufuwZf10lz633Yu/1m7rz76vefN7+X3tPxp3u+/+bv7MohXybb3IbJKdT7l4pGlvuX8e/2kGVbv6tP2R+Lvb/ywdPx9ikb8ILv7yXQl17+Bm3bDLIVWkVD9b/9n6G2+A7xqAfnlepmcEPIIfACJ1DYBK8Tfi727/yoxZkbt+Qb7+YQz/sSCg1F09Al/NT1tcOYLc/DPbzztCtsq1x/Gvyi+PH4rnp1d5AVIBzfEfhXQ2P1WuV6+Hf2n8zvb3IwrbxcDXAERor8EfcmYNXqmf1u5CjGT+Mn5ik1CUx/4r9L3Y/D7+Vtsf+sRxVBxnTesWfSY/kz99JtML+Kny3fpefiOU9NOw+dfy/zrqUVSd++yhe+56/afw/6Ycl9OOon9dbh1hSsebbN83Avbz++SPjR+XunLsFYX0ChdQNU2/dKcgE9IrfeDyajNmxShss/nxNQCVc1Dt5eVSXtL3ykfzW9Frz+r3aP5R+PX4vfa3/l31fWvAvvXbz+LruQSL87P5ASCiOsH5qfw3iH9Q+7fvw58HF3/zGoD7jcBn8qdP5Z47j1DHzgCc8b9zBqBu/7Z2LX/sCHiQ/LHx41K2gZRv9MZfBX8Nf7KQjQPfGT+Xx9cDVPmIriL45rX6snPX8aNrAKQ1+FOO19qCUR+Q/gr+UKZfW5UN5Gshz/3v0ffKHfxnkbLu3hJ/1f75Z3Rc4uMsL13vUepHgPpZ+Bfyk3h7/BcAH3bUYfjLeEr8MTuWflkfj/7oURKW1z13m77sx3x+agT4Juz4yxR/bumMkvtGwM+XL4ofl7KdAZHZrPpcfjY/OK8BeHz8qvaPrOzga96Hz+vrMJH/nA+4W69rHXA14ZrZ8i0fKZew2r8fjx+Jr38Knev+bzc5qgCcv8KFlfGrrgFQPJ+geeFCW1+OfyJ/odc3A0DwPU5/j4DL9G3YMwDr5TeJ33wGoPvIrernqM0+eh3BrxkBz+S/XfyEvWIELfGZ9VH8l/N/8XeuowUg1ofj2YHg5CDI76uPFp+SrcxmAUpOfbboe+Uu/h3/B3lhaSwyUB4B2DXwK/hXy28Z/xfSCLH6AZHKj847+SW8Lf79CqQP6tF1nWv1sZ+lX48A7fafLN/xlyn+zFlo8V07Avbz++Q/E3/1gzI9H79745Fb68/V+XvFTyGilCzSFLb0I9qu5v+ivAsgfv3JukuhJY+okFWfcPlK/noEGLAGApJjfqu+V+7k3/Ejdaxd2cfWaz6bvpC/gB/jlfHjdVhtnlvH1eSx+1fzj8j/SvwrENC2CGUHINTv1y7fDy68L92qj7GaH7zvix9sf/NfzI+PF0FO2LPpC/kL+JvyF8b/JljfU79R4lNz6+pvBH/3cwBOOQjyW+sjSN2xSo75rfqb/1b8xhEyYc+mL+dn8/vkvxf/xuuAr5bnflGrcl59Ib2EH78MqDofUY/Zev7eXR/OUUT3Fp36m38pf300tDBaLuVn86+W3y3+NyF8/2304VNz664fHMG/W39Z823cAvsM2KhHTTv/nrx1ZJ6lMcTg0V/P/w8EeO8Rv71+AAh7e+9mPF5+9D74ZfK7xb+xocfq+ZPx/PgZu7+e92K0vc3/LP6N38Dq29B2fl0+vjlF1wCkNdUDaA29lj9cH4FeF27IKX6L/ua/FT8Y15Bre9eugfv5ffLfi39jQ4/V91D4+V/9HIAaAWu05Zjfqr/5b8ZfHy94Z6ld27PpC/kL+DFeGX/vfeR489rb/Gv4X4z9HIACRnlV8OIRsJM/fSr3vCd+rsQBoqBpBCrqC/kL+JvyF8b/JuznAPjwqbl1S5Aj+PdzACpb172PfjV/KhTeGX/SLY4h6dswVLl6j1I/Anifhe/iHyB/dPx5+2+8F4FJxXLRqX8H/r+zF31sMetVZ2votPy0/0j9VgVp5NRni/5SfjQD8Lb4yfIXrqGHb34V/2r56vil4+XnsZ8D4EPI/j6V/72tL/X7cc3g8lv+bLmEX+dfLZdwMT8qjufFx+fL9ev5fHfL3yt+CqlMo2xzAaWtz12/cBV/Vi7S2ymlytX379r0ZT+u5n8fUi3s2jjx9vvg3x5/Kibl0fvVxfJVPn73xiN3Lb8z/2PxA7KXl4mM3Kdfxn89/xd/5zpaADjWR8Np9+hAcPJ8/rhffxF/WYcfQeaTKKc+W/SX8qdCgZHP5h8g9/CT5VFdYF1xysygHwHYNfAr+Ffrr46/dbyI+SjIZ+ed/BJ+PX5rfbwF9ei4zn320D13vf5T+H9TXs6icLMn9/V/llySysfTtSNgP79P/nvxX4aItmvJUTUseJzW0vhViCglizSFLX05/on8p15A+6m9vFzKS/pe+Wh+K3rtWf0ezT8Kvx6/1/7Wf7Y+azfQm1Wfy8/mh4jqBOcn86+OX8fPr6Ef5b9r8FZ9vZeT+NlrB+43Al/N/5tyXG7PAOQl9PLfGwG/PX4V8OiNH8W19bn8bP5vaWK9+Br+1fEL/Oi6gojXzWOMn+0oGYs5FElfdu86/u7nAOC1tmDUB6S/iB8hQLsrXMmx/1b9Rfy4HLd/Fv8w+WB+0xoyac+mz+Zn8qfPZPqC+FcDj8y8I8Wn4SnxJ3d637f7dP0PuB6ztude78ejzfboczy/Fzb/x2Pzz+S/dgStP45/VX63+FWgRp+2AV76S+Vn8wOA8xqAp8ePy3frZ/MnF3zzjeEv7wWoewc364ZdDqkipfrZ+s/W39iYixuMgKPvGgAn+fr4R6HjQcrc9Qvm6zg6+SE9APqj+yd/n9IlpGd68/urJw+ibTa/AKH4Zw2B9999Jm3+tfwX4+pn03ufpDca+9n8K4B/N/YLAfqw+jmKPfwh+6cbT7XKWOXe/Gj/vFj9i7P55/Bbj8Mn6afPXDqb/wn6rF2pf6og8YyAR/BT5Xr1evhXxj+q/voxdAbgAqxegx/LL60Ty+vIl6wxTufHcerXz38j/lHwX3fg1zYu3w6tv+fF74TEpfElCulsfoD+awCeHv+g+juLmw8+fN0C3mbzo2sA/qTiXJ8kfGwdmWY5B8byS5Me8qQIXjrDO1XxYj3CzlT+Kk7NZNBA/uXxKyH6JdSbIq6mvxP4pfqR6tfL3+Qz6/v5u9A7euPKe+1cPXp8evy65wDM0Q/CNpvfCjxOTCk1As/llP56/j0DcJaingR4FX8/VvPXbM8aAe8ZABfi8ZcevbV9+ZTjr4KXR4EufnzffyM/hf8G8cfiOfylX4e8uu8e56PqPnw2L+FKfmkGIOZdi5Cl4ZB/PgYkp/Tz8vr8SP7BMwC1v9MXxMfwl3EGo6afvx8D+ZNuZYPYR5WBxvGi0Y8A9bPwZ/MrZwB+Nn5iH2N7GvDXFPG1NQXHDy5DJMlHYVX8VsTsXPhl/XYv+rdmAPxYPQIdyU/V15X8PVjNPxpX+3u3+ntYe40YAbMj0Mkj4HPETV8DEFG50fyr46/1MX+9l7Z5lG/eh6+pT9nXKfznfMBfoxcNkEsOpm+KVEKMpNzbrZvGj6tFcjSiD9R4oiX3YgK/qev9a/Fb2380ZtcXA+UMwHwsir/mBx0/Xmum1m6l9WiuPCWbwe/BL8WPedo/geP1AUpfre01gv+LPwD6/vvDz68kLxUhQEROc3Lvfb7T+I1u5bYBgORvyb2YwY91rua3YDj/1T84DP/d7ru/zJ9F8WP+XuSPU+l5HIsXPn7/cwCeHf8oPPE5AKVemgGIaEwd4Vgf+1Ru3snIPqdyDfmYawAG8Xcj0GnBT6WjMIPfU/YH4s+O8ennMXWcA8CxBg6EfIpPktFJFXGb+AmOK7juBhzvr8ePfwSs+Z9FugiQOyACOwIvv3dZOerhSwdelR/L357taMmrESbBT6W0XWvey89H21v2B+If0FeRjqeKq8rH4/07zfJe/kLDI+/kv038BIemr4gemR7DZxR1PlENy8f+gmz+tfwNv5b2FJbzf7H5N/8v8nvtb/1n65+G0g9MLPL4Yiwsr83gXyql3Mkfi1317XaS/Pnxpx0R5Vvy7IIy3uGmUNRv4jp+fDU4dbU9ddW9Jk/ZsKQj+Mu9fc8B4HzUybFda97L78fb46chHU86C1fyj70L4HnxOxGrXL2nrd31A+jk/5SLx3viv3rH7xwjH8bPl7fJ++P/hnk8B4DsACD58QPK3VeP/yH5sA7ATP4/AIDvOlzI5sRSPkK2Bp+DW4Ot5ZGya8j7+cu9rTkTXo7nCzl+el4R27Xmn74G//z4aUjH04HDT5zHcTDlvfyFhkfeyX+b+F+MNI3OVZgkfxtwPeD76qsUyTk79+N/zwxADz5epKfl4VSWb/5n88/FfA/peuK2Wj7fu3ujGGPFIh8hG58R8tpUezxGygfwY7um/E/EnzIR5TXyyKeJs1nOi6n8aQYAuJQbUWnzlA1LOoLfBykCTYSb/7n8ToinoVDAHUIAup64DcudWB7/RAQ4x83q8g55L780wSblvfxau0+L/wcQAAC4K6jxddk5LHnJ/mx+Hz5XGgMAmQZRvpbfeyRH1u4z4r/7eTzbw9R+uJ64DctnfxPev4UKSBddz74oe/P3yY/p8UCXa8k5mTb1Yip/KoPPdO2Zb/2GkHi89q7G5n83v4Tkn/W45/Sehl+L/6k/gG/n3x2AJkNsp/izNe+5BmAEf7m3terIy1u+yXJs15rv5ffeBXXqPzX+dntL6D9edHKNdKx9qTZs5e8e/5D2h/Yas2ENvM+Hze/nj0yqkXOyL1dLPgRT+cVrAID4fOTjmSHlgl1t6uUv97b6Rbyc9I3gp3wfsQjVx+/tg4bq0/Pi99RB//Gik2ukDvvx+ycrItVGISf0h/qnks6t/zak+g22r3npue/W58Jr+bFda97Lr7X7tPjfhLwvTfWrJfk9+K+dATg/942AaVt6fhBmADhbeQnPDMAd4vcdiXsGYM8AFPqlrUjuaZgTSkjyXv5vuXycrMkP4+fL2+T98X/DijGegWrlMbvnoMjjlCnvxVT+9CjgCPUaHEC2Dpf3hbPPhx4jr4IheFr5Ax38SZbZNI0YCn1mhFvw45QfjdtGwLUtFf/hf2zUKfYsQ6H/wPgJuwWI4wPDPQJNdc+eX6E815Bv1Ts6jPy1VBrX2MrfPf7Z7f8oHD8QjfO9JX8r8PMRjjxOmfJ35+d6yWn/ORp7/gyAj59KW3J5hK3n7BsBy+Mja5nnxF8ev33sHn09y0zMnQHwY27NDmv/9Ot4JDHlYpbH8srkWYKm5OQ9/NkaeSxcihUPKcdr7FZ+S3yS3MmfV0aZ18kbDk8+Pabz63spmAlrSnIvRvOPLn+3+DGs/ljt3S3+0e0/Gqv5V2N1/Eb+CAEgvXk24vfnxtCWUwZDuQmF7fzpRTHHC2Okq8ORPNfv4V8dfys2010Abb96j1tT/B38evu6GYC0h9PQjNAt6LHvHXH2+NWSjxwB9/BL5S0zAD38a+N/9wxAz4yQR68XD5kBSKPmY/Qc0T9RXplHWyU22kdyKiCU2uTPjh/HhktI8vEQ4r/K/h+/zpXW3851uHx9lVqDJeSnNVQehDylb+HPZJhDC1If9xzxrkB87u3fUfoG/gjnGivpguAfqf+Q+L/701FBriW3jg+NvgatY09sH0G/CVx32rbo1WOwKv4Z7f9L4EbAvwrm50idfxtwr/mTf/4MgDQakEcLzxkBf3L0XQC4PflZIKz/tPj72TX6s4+nXvv47o36bo62P7z+GP8wX6++n78NpN8aYcdcjse8xBi4OUIj9Av7En9uA6+Pw+fcR3HGQk7om/hXx8/yS8cCir3hv2n/gPhN/Hr7f1j0AR7Dl/kjF88dxQj821rHjnQEaftVuDzK6/gB6QOU9zJQ+Mozu6U+0sbloK41vI/UI+xw+ir+Il6qXN2e1dwBo/+I+IucpzOvPF4w8PHGxMfsMuhz/uXtFs925PgqTV5fxb88fq1cAtLPs9Qa6zlhQJvjylMyzhUNP0D5pe+9v17y927xS+8H8N73P+K5AQHqmEbye+wDMwOAS3jyGg/G2792BmAGRs4A8Hle/2nx+zzaMwB7BqDQj8dfait/NglzVfn2ftqCzE/bj9/18kOarc/HT7AxFaP9e0r8rPJxnz/Jf8gFxJhKphqL1ZzKTIzk75oBgDMX00fcyWDyEYnYvNWerpPjHzEgKfbfNd7QwMavHbkJI8lu/vFQ8n/3H3FV5QQo9cXjKUaBVzjaBH253UKdT7GQKVG+4eVd47+q/bvgf3Z7H6T7w0ffv85hVfwbI9E/Qk+9am67xn47Mn6T36cuM3hg5ff6U9t7Vvx3xyx/k10uHa3Xi4e1l3IEyqzhxu/HWBSJaD+vr+U/80Dmq/EinuZj9Z8Rv1afi4/XR+WLuLKy+b0PzXshCCj0m/w2+3+VnrIbphyhE3m8OEEvVsy2z0Oj77Hvwzki0/F7PaLr+cbxS78okovSiTQ4xFk1FoR0tF4vhtv1tp/mi7R16Kf182KN+pvHupS95AOlT9lo2ePy2vik/F3j98Y3Ux9fu9DzPIAWv9H+H94VBSfS+7vxe7z1ef5d5AGVmmm/HaFnmw0bv9cj2uKN4/c6MD+AAqNrDJ+fXDpLv9ffYbhF+wd0HRrOz9YX7aNv+f7n2TD2F8cfUDPi/Cj9en/1gKLASynY9K1xJZ30j7gGQDIYyjSmj0we633lR7ftu8aH85J+i4/rHmq7aZJ+sWH/Ffa9aPJXa6bIo1jvastp/dvGj/zEfqvh1VfrCUbNvEFOk00yVehbcHn8jN5V7T/7BPDal36BvB2B1fHPlkuQuili/Tv1zag6APH7XVCO5s48GgmEUq/KAyf/gs1L+hLfRah+H9uj4OFyoT4j3nn0m5j2VerzfIvjR/u5uEQo9VX+Nk/a9nEr6df86SwFSL/qVb75267Qb/Lb/B8f/xcXtT/rFxqw4vxsfdE+HmkO/mVZHX89crbFp9Wv9weUQ3kxDJt+z6OIv492/j41uewApCsKqvvlv/lDfnxbHOJA2mHyoo+yPsmPq7fQJ/aTvAb9WOfz5S7KfnG9BmFfpc/xA94fmHJM+6r1Gf67xH8Ax2mFpM/Ii/oLTT/p7xWtfs0f8oLF+dzg69a/X/w2uQQuvkBvh0o8VXE+18f2rPrc+u7s+9zvGr8Up1RfXn0NgrBpINaf3n7ZAQjQngE45FD1i/G4rJmXoNAn+TkKLbVVH+3/zBPGozHq9dOvHCsGo37e2E2/viO3qlws/Eh2j2KiPi5n9H92/ChOw5Fn1GfkAclb3ynNX0VJX5gBCCjP8XXr3y9+m1xCr/5Va9AlYojNMeEp/xQ6x4FHXqk/x/+n6MeiJr6fsy+lfI29zmu42/ptfpv9vAOQ1gDTOm9aTy7y4SwHpwx9hwNUwWI5CHlJX+LLZN51xJZ+IQvZ3/xTYOQYHfqt+jz8j9W+QPAEgz7Nvzj+vL2+BY848zEkblcq1egDrkciotZ97Oh8M+tjftJe3raxzdehf7/44Zr2J+MJZcrJc+fzlCuntb8ab4//qbDe566739x7P/ps+zMg3UMt3VPt1W/Z1PBZ9SV7a+O3Pv9htL6eZYa9Wc8BmOXveExu/1ht8ZSQ95HHPFMU6NXHW/43ZveRYzn/HACdPs2/Pv7DbvM5BMDwd+hX9+HHojzWB7S7hk6f51eieBdA6uXmvWm8j5KXwHukvASrPXOvEFfYgG4lPWLl09H6BSL6QCg17Sn0JXtL4yeP2wxi+wv6XnTUrwbeuhtT9wpMiv/E5Pbnvhq1rgFAtXZr0W/xB4DierEe/1r6Er/GPsD4+CU/mvXl1Ac446F+jKXrFopN0M85c79afDz6ZgBaFt+IvFbwuIHLj9Rv+SXJRswArI6/zuPjVirv0+/F7BG11W+vvhWz6nF6+6N/cH5tR42cHb0r9Ql5XoZDRKm0n9O/a/zr8Imjnt3g5PSm19f5A1L5fAYgxs+HbxqYNMkPmrx7gfOUW63yXn2qrGRT4lJyxPz+KlW+tNOl36qPCFCtsRbliVGdSf9O8Qco2ysckR3dYyyX8pK+BuKxExRldFS0Pdy2DT6vvtX/ofHftP3vCuz+w8NZDjzGvjrfjcqO9klhGznOLlYoulsBSUv5WZNe/bZf/LdrKFKrPi6H/bsyfvq5EfXzK9rlrfr+q9AV98Gb7FvjlPxp5+8T/5r2L3eFMm3L6ylam367DEB+lXig5MP17xD/xTjq5vMh3VRR3ypRy8v47folP+Uarl8Sn7sAiimCLBPqXShTlrsayRXsZ/v3bJz8yIcjHwn9I8vIjx1WfclfoWGCWEr6ukjF1sePTYbjb4BcpbLZzEv6gZDgUro26NOv5UUufv8ERi75I+rfJ/4l7W+5/xsjoK0HHv4RuEv83CaVGynPY8r3cXIpb7FPQVm/fwBnbzb1d498PPeT8mW//F9IZ7FU3ivPf5kAIISzhsrik+Ri9WtH8J36N4p/zwAQ9oIcZ9MfUf8+8d9gBmA5yvv08/vIKTnA+RyAPv2345ghgQj5ffhX5cuJkz78AZQjwYDygry1Bk1BKt+jn1yLC9Ivd/juO2oI+TlNLtRfVZXG+hX1k18r4weA1ppu+fyKWi7lJX38vIzy+IifjT2OsF2rPm4j3GJSHsOm/2mLxfGr2mdS+1NVw1XxLPkxNY7zOJXKW/WRI6vi3/CidbW1Rr5R18XVea1fVvTyvCdfXi1u3aS7buTNF4df/x7xL2v/ld+BEQCK++ePDZh0rDzPrUAUNqmcWx7PJB4l8zzAVLn//gd/b2rlAQCw+4MbGxtvRj4iz1enqXSG/MXIrsYDMj0LTpEPWpB58gzAah+4utgzANfkV9e/dwS7ZwC8+n1+D2v/xf8AshH5ueH90+Q3iH8pvn5EJp0u98J7DUBdH+0xOZZLedG+sIY4PT3XxyKK45K8WH+4J1nvassF/awulsR/tD+/hjs3Hz6/BQHo52bAd+PkAfz6BfAOKe/X5/y6LP7V7b+x8VgEAADpKv/b3gVwAx/i8Z0AWe2k/Flqjly+Srq0Y4+urc/5c1X89TGaewZZ/cy6Ctx3FbtXX7gLQJGX/Ln3XQB3b/9LsJcA1uOxSwDpKG5JeTkutxrJT86fX5NL5WfD6s9s+dswu752ezwB7+0A5B5Rm1TOKz+38p688u7KiXJ/B+DzIKCcizqbGfnRC154KOD7lpuYIM9nAD5FYpat+1e5PK/JLv0gj8AYtzPfmTZX6AO6L9/sP+Lp0b/3CHDyCJhof3w+uGYAJH3F8bdnAK5DejO8Vv59DkC3/sYH3/X4cH0+uI++vyIOYq0Lp5n8IA/IRoMPy6V8S7/yhykr2ZS4mvbD+fsUsqTQKX2s5VDc967Wh3KNFLDe4T8jl9pP0i98WBA/PgbxcfrNBk4u5SV9XHcEmu+zl45fSb/wj7OH21Y6X2z6Ado1MDv+W7W/NDKeJT9cQf3qKsVyKa+07/V/lPxtGFUftqty87cBclfgXomV3Dl/fk02vkaby2M7Hn3JP8n3Hn1cbkX8/FXg9NXiXFy9+t7jb/Txa41ztL4Vo+rvBu0fUVq5OlaergEvrgUvPrblTY4e+xfH//3U2qRyXvm5nZUBRR5QfqA8vyOgH+/tTOFa+7Wa8Ma36+e3+Vdjdfzj+W0j2Hq92TgCll7WM/tlQJX84vhvhQUvA4oAaQmHnM+r6pfEH8C5jktdzY23Uw7QWgezrj1a9TG3eS3OO29C8HM+aX316hdIZ0ujbNOeQl+yd0X8resXymMXQQxL0Bf5BXTUrwbeY2fIsafBoPjv2v7pOfv4eftayPr1s/ptcgk++/PjfztCDBAggK9y/s51LtV9uZmcXAyKgGRQlolIxOYl/fD9nKUYqSzm0KKpT/Hj+pBSwqYlzccwSRTx50Ds4/iM+hX/xfFzvsdTVBzbkMmlVKPfjAX5xMqCokybgrZH1JnE59W3+j8k/pu3/yzUI8Rn6f8amJ+ry/LjcK7u50sL9bp//plahPCuHWrX7FZdh0Dxp3VDzjcsr21a9aWrAdI1G5T3OQ9nh9On+a+PX2p3y9USffpefp9+LU9naaolOi/5o9W3+0fzrdNvw8QfzxQ/oy1+dublItps+lkZwva5H5Ct80xCUcRCLumT/FfGL4DUN6BDP36LRQCIhH4hZze9PgjXANT1S8bzh/Z//hTjWYCjJ3zIv3vzfjFph8lLUOiTo0IcKDVWpfwteHX6FH9IR2moZZDLAdUbPsO0+oDaF9vLnlNYyKFs31AKZX3kb149l8af2qGKL4/M01lm9DM+kr+ov9Dwj/FOq5++eavzIm+3CPn8mFQbJn2C3+Q/54+kL9V/Yf3C9tciVVhufuQYOobSJ2EdeLi+xj6AP37ufn2pPKen1afyId+IAyJYNoW+BGv5BMsMgGyHz3v17zgDUNcbpTVS7psBkO3YZgCuj19q9z0DsGcALm9/rnw8UqrXHDO5pF+X+XbVPqNCxv4pP8sDypv06xJK/53xH36ffgHpN2Uh36T9jD7L39YeLZfqS4U/vOMcAQS095DEb4ZKDxO405GNKXIRm5f0q9EhDmQyaH6puzVaXt0njeqzsvWVs+2r1Of4r46fLY3jxMeZBLV+26j+PvY+fa4+QivfOn+DQr/Jb/N/Wv2tbH+OB++X7uu36rt+CAyoeAf5362P8rOB+a7mT5jz06cbIdjtnPnUq+Y2Sb/M1zMAOvttz/X+rZqB0MLr113jSljt393qlzsutcepV9+Ku9XfGP7mGnIaAeMRcVWE1S/HqvX4lRvhHnuFawDa+i1+nf/++Ft2eH3Ke3J/U5/nh3w+IL9GopgzaMGob722obIHf5UBoT+h7W4wI3ggFjzQJumX+bobpLPf9lzv35xu2Dh4/bprXAnkHIVJwad/t/rljkvtcerVt2J4/a1u/7R+XqwrZ/mkFJCRYNCX0LI/W//K+K1+cj8F2p8Ib70CoLiIzQuj/T+z/0LE7Wdzp0+tjebRPwdAZ78dgd6/Oz4TPMe8+6zvgcq/i3+R71q/s54DMMvPYfq3aP+AruPCedkJn75oH/0UjL7RfnX8+NkE1mch9OuXFYmfYCAHYdPvecZDyP4R1wDI6hA/CZ2GsxzWg7Ps0d36rvHh/J4BUCLVPYvJ34ci/2BUfIGW43JWPzl9Lb+ad1b9csen9fx1Ht+j439C+6+EFONs+d0hdXS8HSGpnyLWr1PfDKYDgEfLZz4K3xHCDID2d90xA9CCNAugnSW4ywxAhACtdzF+DqdazrevTl/LPxwVFfIaHZNHXFYXOX0tfyZt10/7uJHbV2q3dNZmecX5y+vr+LX+m+N/SPvjd+ZZ36Hn1Rft45Hm4CvYVsdfjZyNUxz9+gHlcH6svvcZi2wHICCyM4+Om8qvcOyP536cF32U9ZsjFOzXkcdxYXzlrL6SX4LCvkr/+/HIkvFS9vn2VelL/BJGxZ++mVl9qb0lMPoSPz7eGvGR3mn1v1cF1V8CebtFGPkcABX/7Pjv3v7p+ezHln+XBajWY/E+Tl99fjD2tfDoY39nxt+7bu6tH49eEDYvxtjn7+/GezX7qLzGA03ednWy/75lC7/3ymlZX47nyicBUtI8tUKjf8P7wC/Ul9st/R31HIAx/mG+dfptePlxYQA4n+YWj73lfp0VyPQBaWI73zxx3z+dZ/TV/G3P3fGnJ+AlvSMv0qufczCF/45ozQCk9fj42fHJhyNfjX4jQP0scSDKZLvZPKOf55t8ma2MQ+oGFXJC38TfNzug1z/O3EgXOfyv5WU9FKM+lb6Kf0b8VVsg26jNjjipNmy1L6ev5U9Sru6OsoE5vgh96XgmfcRtK7UFXf5TB9HMPzT+nIOL52btTwclpBJ69Y8f3Nb3SUPu5R+mH5Eeys/Gav4E7jkKZjtML7d9/3v++ZoZgNKfegRO+zsOdv4rRsBaG732R3CPiV86HrHcezzo7PH8thhHoz4+dXy9er2w1dRj2h+NIwfdh15o5PeJV8UhDVAhjU2L+9XJ5wCcclpfzz8l/oKv1Cv252Urf2KtV+QjKj+aXwmNvvAuAKX97G2AGAFt5178WdpH5SVU+hEdI6Esh+VitwjXmqK8lX/yDEAbEX0gjDTtK/QljI1fOh6xnC5/QGx/nT2eX8CA+m2hd5jlHZ6pYY7/B9ofi7lnyXsRAIrrya12vfpNuzAu/l6/sN4oOxaMvv+/3/6cGYDxmDMCm8m/ZwB8NnJ96wyQf0aobU/mt8U4C9i+dgZAW94LfT09rP2h/FebR1slburjHZr4YpZS+hGV09hi+SfH3wvJ0OSjHTE14ldayNMu+2kGIMayLxO/fwKgawHCNwU4FcKpY32/t5TPUPWwER8tb9tsAumb+QePgEn/cNHK/1Z7KOxL749v8Q+N/1uj32OxHoHR8uawQjg+qBGdlZ/lSHWX6hcIeUApEJ8re1iOA5Paginfyz8q/qe2/yxYm/Vu+lcDj4Gt+dW4j//rZgBkf3SlpfGu3aIkq6+y1+XlEbQcT2ssqrE/5i4Af/zcyJSL4ZyD8c5hlLM5o/llqe94nTsDMN4/Tv+Z7d8yjTa7b181bnxcySOUKeVRlprt22CKH6/BS2v01DUTZKqUu/mpkCztT/hbXANQy5X2dU8CTAZS3zZiQaTlF3SjbBTsaEApt/Gj0UGDp50P8axfACgatGhfLOfu3yb9a5TA7anmzxNH/ISP2Hdabm/P2krt/Uh+WUqMkbX1nzIZiWkGICJjXcffgPiJcs9ofwRuzTsQ8pGQ7nsn8+PdGB6/tnxX/B12LaDiHwmLfa43S/VirSMIjX0Lv9WfuvR1MwC8XWtea7eW61eje/R7/bTH/8wR4J4BGBX/M9sfm4P2D6tuNGjHx+4xYkw8x1iVkU/yo1/eW/4I83gOQDlEl+Sj/O0HZsmZKS/UXv0BHGOM/BmhRT6HaQSB9kk8RF6ErfMkdYfs3TFdaduIV++H5n3xHoitLfDndnzxf3MxfWRGYEg+fARo5U/1E6F0BNth5JL+4Z9kv4ioBaZ8J/+w+B/a/reCdL/6qvvZN/pg+Zls4z0zAOOxml+C17+7xDd8DfYm/LPrV746vi2f719fuUe2/9oZgP78LD9UcnwvQJaPAMe8BSUvTcBhnZkBoOUD+P1gRvjV9R1ceRZpBgBaaQ7nDEBXauW7Eqv5JcyeA7gK3EiWO1ZG+93NL56Kk39hj/FoPhoOjQ3Jp/cABfuhSPDu+7c/3tlyjJJL73fXvP8d27XkR/B74m8hAIDmNUGe+Efw3x13ngHo4bPIJazm3/jgJ0aACrvj4ZsBuMK7nnK/0v4ysXN7Ov8YRCbVyldDGuG7ZwAiwD2vAejhs8glrOYXEOdT3IM/ID5mBFbJb8KP6wmXY+X+vDDCF+Vz/VPG//T239i4L94zAyBZrOVj+LFda17v77Xo9dMe/6+OANvl7MerJJ99vtjk/fX0K+0vsH7sdG/edejV/F8fmmvsqjX4yKQK+RD+Tkhr/Go5C901APHcESg6YOShSLrSsSNw+yLUGH7nIhSqT3xkH1ksHzUMcfM7469yjWOVyXsxi79d7lsP3fXvPZ7H87f59OUe2f7SfeOtdfOuLdJ2LfkR/J74W9A+r2DqcwDU3v4G8DiN2zeDzy/fMwC1b14LewbAw98+Gj/1wJdp1z+lbzmeZ/C3+LR+5flHtX/RW+qQ9+JrF933L+Zn+dEt7y3/m88BsORZpCcBRig7rTh/7AuZDPV+KzkBiSfPS/Y65NKIpJAP5veNgBn76RjsGvBwoxclDPzWeNmRK3fssfIGUtnW8TqKnzrOAaD5LPzvvvSeyaNMLktqkZDn+iE30EI+DhrIz8bXiL9w9eHtfwekeubGtpJ8415I7eRtL9soct0MQPKz9Fcvfyb/TPhnAK7DrLfxrebXjI57Y+k5P6Xz28vf4mvb+oH2//aWeRIsbw1E8zVnoUwsisWKh5UP4i95eLByao09L8/IS/WkAVUBSe7l70ZrjV94F0Cpz+Iv68WTJg6EIik+U/s4fStye6m+I0CxRKWSYyj9m8YvwVt/Cv3mDMAF/BaE4295vAZBPsq/efyR5XfO0LTPT0FnFv8BRfy1rYe3fy7S3K8/CtiuNT/DDyn+Qq6wh0HZ5vSofGHDyU+N0SX5dXjmDIDUAx/lz2r+mXjSDACu/3xvS353fq5kbqUnIk5fOwMwi5/j01v8kfaPaJuPiFKrfCyk+L31U+rj2LDFWj6W3y6n/cPa+DNXngXbf0GyZDAQMqyTl6Vk1H4qz+lINrVyCav5Nf4lrOhCruCX6tJS1z3tcyU/lo8ub/Vvtr8Wn3rl9+H3jQB73v+erxlT+pY15R5+mnHWCJnWlyyVJcfz6+U6htLnccC92DOvmwHg9a38tL2au5ZS+pIfdbmx/KPRaxfPYvjs2PXGYfXsxbgZpnp/fhU9XU6S1Pq2GYDx/BxfLx7b/hFtTCGu2k7Zcd2+pB/PFF+iUKwjFyoD+SsLthGydM0BktP2pdYqS47nL5n62x8+bXZcA2DUP/f/kfLGIkmxN1GHsqR7Uel7RMXw1cryJQ+zzsjqS3585dP4T3mhhPMS0Fl9ZNVVXNZD3bKT+UfFn9WvSd+LgfycCj7jyHLEcSnpSy7m5Wbwc3wmPLX9tWvevwpL/AFtLXsUWvqa+/5n8mvtr4NuBoDTbOlb+fcMQAujRu57BmAVP6V/HoHlCLou295L6WvO35n8mvgteFT7R7RJ+9uWWnlSJ40YU3l8PXsmn8E/LH72+QWyXiSfc3DaiUo7XfyDEVHaBW4GIMZyXH/kP+Njfq0vtPVT2TwIIk+NH8puUnMEzuorZwCm8Y8Grme1HpRqvf718jfROr4AEB8iz8twdm7FLw0O2kdQey9zBojn70x+qizCL7c/AFRrt9a13F799Fw+rpgk9/IP08d2UH42VvMn0D89fuDxQj0maGu39eWt9obzkkq1+lqs5t9oY3X9zp0BoPMam5y+bQZgPD9V1oPHtX8aLNb33df359PjyphtVF7SBwDyGgDG2YH8ZZyK+BmnsF65X9bFPLGQzOQ3QppX6JHH7B/AX1WgGgNoR89f9eNv70bZ43jkbpC3e3Q5v3QYif3zh+sbcXGvezi/PANgOftkfckGVXYkP1XWg8e1P1UZtq/Y54KLszf+3vri+L12NMBX/9/neQAJthG6Xd82w8DlpVTSb3m/kn/DhtX1+bQZgLvpv24GAKoRY5FG4R8II3CFfs5Z5S/gb8bvrT+lbq/cy1/WFrVdDOIagABwrO0GIg8Rmmtskn6xVeVwNwj1iQ45MwJX6zNYzW9FqvtVmMEvHF8lCHKT/mr+q2cANP4tngF4VftvXAqp/t/ePtxoXzsL4NVP0rMcnZdSWf+u/DZYxmUtvVF2rscDR4CifjkfNvcqfM6nq/j3DEBrBPlj1wCc5VupBK++Fz7+KGyocNvogGsASiEeoQv7Yybu0SeQ5hgiAHkfPTPyLlOF/lJ+XG9VPQqI5ccjq+6/cu1zET8Xv2SHKBeY/SreXvlAfnkGIBT7sL10XHXpM7iSv9i3oP675F5+zX3ovwwufqkepHrT6q/kB6h/DnU/jVfANoLHo1+rPudBXm7PAEje9o/cT5/3DMAqfnyWpLQ1gq7Pt1592pcr+V84AwDfXvPRHUB5nTZoRuBNG0Csy1/B338XwLfc1+/I5HWeR8X+WfysuLhO4xI5NwMQYzlO+ebLbgoe/Vr14VMdocyncfJHJxxlQiYHSPuz1KTP1tFafguOMzeCte9ItaPZLQc/ay9AfUw05UGQN/Sl9BL+kJXPz6fsuImAnmFZn2/lfr1+iYv5cfxvav9cVWoWDE5v1PfKbH63fkR6KD8bq/kTRr0LAI/OuVFdLadHvXp9zhtNXkq19u7GfyWkEeETsNr3uTMAfL5l60n6r5wBADi7AekzaYcdz8VTFj8ZphgtcF0D4OfH8Ua0ceD0uDynv5pfjeZ4/ph5aJTh2r/qhVJlSli7GV792fh1/56uPxur/VvNvxqr41/OH0Bed46BEcVwyGKIgbPA6UcUL87P5gc5fu/98XfX97U/fNoshhi4tmvpn/v/ACKE79kQvp8DMYv1mcMv5fFbptyj16fDCtfkmUq7jF+C9wtJoZ+33wr+EVDXJ8Yg/7z8uT5uDynlfHmEPhF/Dx7b/iqEhvUk05Sp9qPfBe53Zhb/hg7Nuo0BAgS27Vr65/7V7YN7Ank+fab2jZBL/lzJ36oHLo9h1ffmR/MnG9Ts1Ay5lL+Sv3VMSMcsh7vr5/KEF7V/gJs9Ae5a7BkAb/uPugbgayWmv+X6fkuO1/is+rwf1+Xvxm9D+3oKjXaeXs0/Ao9dAyb06+tJPvXLX2dS1r9dn/blSv7XXgMA8OkKpI0pwJsv1uA79DWYyB+hHb8kl3B3/UKO6wnXLSXPrwHo0f/AO/82wspGL1bX/2h+yd6vy63Y7f9b8lqhtQacr8F36N+Q/6rnANyOH9cTrltKHuG8BqBHP8/GtOV/yx77TDkgX67M343fhtUj8NX8q9n9/G19qX69cgnz+V89A5BsQDmGuypPPKd/iT+ZAKjdrFzKe+1fxK9tD/QvFYid+gDweQ5AhM99uhEAApz37cZvd2WmPPmYrY3FPI/vEx4uh8n2FfyAPhvyx/MWOvW9+dX8x87H8rcHSEEo4ZVLmM8/qP4e2/4bG51Ix096DkE/+BH7NXnsy5X5u/Fv2LC6Pp8+gl2Np9ffXP6Za/g31I8ATQUsl/Je+5fx967he+UbGxsbGzfFw37Ah+u/BYs7AHsG4D78Gzasrs/V/G/H6vpfzb+x4QG3Fr4qlfz6RTmgz5Y8Tq363vxq/l/Jvx2r6391/q144xMQctwj/nNEnv+lRuxz5NiXK/N347eBq8WrsJp/Nftsfql+vfK788v48fZ/+BS+qL+49ZYj/UIuWwL4Aziv1f30Rs6/x2WGnDwd/aFTH2rgfbPzd+M3IX6OoGXdyNH86ajk7BHyIMi99i/lr8CdJae9dv0L+nfjX13/q/nfjtc+B+AG+PyWnz12euRayvEI36rP+3Fd/m78NvhGWHn7PZP/2SNAHH+dnjNmlBzXv11f8mcu/27/bwpr7sOX7hu/II8HpngPNOVSXtL3yv3830rov4/fK/9LhfC4nB65BuITvVejT1fR0UWKAOX70gfL78Sfl9Hmjw/fjFU/ZO13B/5kI/+M+Sp5EOQNfSk/mz+Pn0q/dRaOYwaXwyNsu36Jq/l3+9cFNzaUiOjY67YTAWIsV+bPXvtZqpaXMwB2fc6bK/N3478SI0Zgq/lX1+fcGYB26rW3Wn+3v2SjtYbOre9q9TWYzh+rXEsBy6W8pO+V+/nTEVDtjmSay2e/CwAHYu2mevVn49f9e7r+bNzdv425eET7//y7AFqq5WbFM/S/kqXvAihH5udW+VrJyx6sXZ+sEeUIWjuamDUDMIv/SuwZAD9mzQDUM2xyfT1Nf7e/38bD0Zo8KLcey/fX97R8RGkXuK5JhHoNy9IN6tXPy6XP1L4R8jvyW5A3/Irxy2h+qr5myqX0av+85Z+uv9tfDzymtI5RV+vLes8YwXv1PRM0xzUAA7/8uVE6vb/uwdr0OQ/ycnReSmX9u/LbINdnS+/02WfHrndq56nHxirMnQHI/7bOt1593p8r+Hf7SzbYNfR4yuInY9LHl2Bxl2TN4s/tNCT5ZsUz9MXqaajG8xoAq77mGgANxliR7Vp5nq6vtY9x1TzALH6pnjAvrl/JD639VfxWzDr/VvGvrv/V/LUCt4YeQ7m+yxajBRH5gPOz+XM7KHfFffic3vXPARCrpzF5kF0DYNXn2zWWm7R/tH6S7hkAHUaN3NfMAIzAk0eALZutEXRdslf/nvwW/GL7a2iFvEqfvR9/Pj+tFwVLX/nhN5OX9Kty3P5Z/OWeLFNfz9+QR5Ra9QEgew7AByFtMRb9ipQvZBHIVNRnHfzYiEW582/I5KcVlKr1b8pvBK5ntR6UamK7DOZvgjmujrT0wKl/Q/7zLMwY6BZq72X0Rf8m80tYXf+r+UX/QjudjeX82A+U/3X+BPwTNAp4tK4fvY/QxyW4vHY9UcrfjX/DhtX1OXcGgM7/ur4Fv9j+mXVqPBezjcpL+gDgugbAyY+vHcjyjBXEfPLSeUm/9pbbP4W/ET+h0D68euTlswD/qgIh779TmwRBXzphQjPLjbzZ7pCUF+jH83u/MaQAjPV7O30jLu51X8KPzzbL2fcL+hb8Yvu/FtJBguVSntPn9C7hv/0IsD2Cl0fQ3hmE2pvWfm7kLek/hf/XYJ2B8dqbjdH+UmfLyBH4E/gt+Ln2F/6BMAJX6EOmW+Uv4uf80CAK6WyM5F/+6/BX7/p0UyJAyLpFWR4iNNa4Ph2gpr4JnIY08pb0n8IvINX9Kpj5FTMwreOrMoHs5WU4OxKm8mtmoGaOwIX6reb/JvBLuq9v/41pkNbpr17HvytwX/3M63rwnL40BqjL0fbK0UXtF6f/FH4teldW+fb12dFpeOTe8qMxdwYg/0vptvdS+k/gt+AX2z/LUUPEmG1UXtIHgFXXAOTzANQauLSmffC1Uo1ur9zJb43/gmsAaEV+caPoIcVMXHx0LrLE7xGVzTmkfMnDjMBZ/YfwS4jlxyOr7r7y7auCg3/ICCg77gLKXwIHv30GgD6jkh/4uMQ2sP4T+EX8ePtvKOF9St9oO78D3QwANfrdMwAj+LXwjdxP39fMAPDHT5+9FfD424qfGkHT1lqSWl87Ar2Cf7c/v69lItuofEOxWMdv5afwM7bMOl8/j6vwj7xI9nl6XuXtN3/IJ/GTLi0G132JSJYcba2lxUyObXM6LeT2JL4e+d35Nf4lrOiGruCX6tJS1z3tM5Jfy8Wl3vJ352/51Cunyt61/Zt+hHae1ElPjkvj1vjJh69+Lp/Br7GjVPr6/R2BZ3FIegCZXuHFx85HPomfNNWhhHS9cxC2UdzoHryerxxF1yNwepTt9Wc1/0xoR4UzODl+3hepfrWzLL0Yw2+bAag/W72lPkt6V/Hv9uf3fXPcEDGesmNMSxaLhc6hixz8fHmhcoP5yXsBEFdrDqLgO7VjQ076jfWKfFPVx98TfyuWMe8C+GNX5rBmKJLiM7WP07cit5fqOxL+BCSPhL8FlP5N45fgrT+FPtV+s/nVx0+FgDZcnpZb/eMxhl8bf2A+a8HpS3au5N/tz+97PTTP529VdUsf61F2ZvLfC8+cAbDLn8k/E0+aAcAzLNIMzPjjcAy/JX5v+/Scn1fy7/bn90nuCPmWTgRaP6Jyo/k1dmqPKG+1lmt9yVJZcjw/z9fH4LVx9F8ilH0ZnM/3UTKN3Aovn9ef1fwa/xJWdDFX8Et1aanrnvYZya/lwvUcs895WSzP897jfwV/y6deOVX2ru0/GtKa8dXP9G9zeUfQpb703oJaPpa/VUprjbKOP1vt2uHrwUqzDbXcMmKR5c/jl633j3X8MwB2/v4RIJ3nYpg3E+Xjt80ASKPZdv1T+rYZgLn8u/35fd9cc/AY1WW+mTKtC1fykfzGNfCYb/j+een5At9r8s8Nx4ZdruVj+e3xZ27Q/hbXADDxyPc0MM8BoM1B+HZvIxZEWh5QsXQfvEEu9WRs8vb6HCUfwu+Iv5SjPGTHV6u84LvYWxzIj5feuH0tPUqXk4/CKH5L/CH9jbEUmuq//3iezb/bn983FNb32N9h3TrkG9ebaviZ66eynB6VL2w4+RdXpQiuN0v1Yn0j4ueNwFfzy9ZHj3Us8M0AWOS/OAKU5d7jxXs8r+bn97+j/Qfh00s7Royp13aMNxn5BfCxaP08wjyeA1AOjSW5l79toadczkx5ofbqD+AYcx7Pqcb5HL4R8aIR+IP5BesxLu1f2vl76/O7P6aPzAisko/CKP7O4yUi0Tevlj+Uv9r/svYfijSOZV0T5Bv3Ajf5ZMd1MwB2jB2BP4//+UijwLQeXOZl+WkFW6VSrvyIKPr4x8Tv8/z5/C9tf/cAM36Sckyozg/iZ/N1tubDa+NZPgIc8xaUvDRx8jEzALR8AH93/K1rAExyFmkGAFppjqt7sGNH4M/jfz6oxTC8ryU/92CrVMqV96Kf3xm/94dMfL/fzfmzPYVZJuXKe7Gu/T0bModd0uS9/M28VF5oxQDArs9X5Rx5D78rfoUPTvwBAKSHP3JpEY9QM6oHSQ7E1Xx345fg9c8fX4SQbQBQ5PFWy2k/pGN1dLv08zvjd4bxWaPp5/f/lO72d8Xv+hEIzloIfv7Yymv4QvavJ+/FSH5r/FIMXvn8awC83yCi/uqfX4F/dvzT68cZ31eeutTZEcZuhfy4xiAgvrxkSz4Knfyj4sf1rM6nL6XuEaiRD+V3+/vj39iYi+uuAZDWFe3rjvbSv8Qv2/M9E03SH19fnLxvDda7jn3qj1qD9p0/vH9ae1Z+3/ks29fKX93+0bF54eGuNuL+/Lb8KMSvsavW4COTKuROfnf8LX+lawBk6DrKyVxAec4aV743/3SMrg9r/Xuxmv/t6K1/vL+XV7LPyXf73wO3eQ5A9c68KlvTpnftJVmWhwCQ3mFIyUNh4uTDL+9rygfwu+KnyqX8Uf53nwRo8UdX+pf4fTMArZkejb63vizHzy+OAO3nD+9fq4TGr77yu/3Xtr8S39Ekuu9fzF8AH4vWT+k+f0nu5W9b6ClnzbNITwKMUK/hAZTrjxEAQsjKUutfobSF7AZoDwsqOfarkgW+TOF3Bz+hb+In/B8efzoGm/Ez8mod06gv8ec2Kk6OH/dk066+NdhmfUvtW+j38Q+LH5+P38+Hf4y8DkwaGTDle/l3+w+KfwBSu3CjQ0lu5gtlerX+asyOf1T9cL3ktL+UL+nBqvyh5b/D3wdp/K4tM8Mf2wiwrN96BIbl3vZo25P5x8bfi7kzAD5/dvvr4ycsfX+xucFqJo9FsXPd+SxKyA32OQeLtLk2T8kzfWqN/fAbWHlp+rTJzACw8j7+gfFXVfw5xj6lYyTlOvzxveSAtnMv/tzowY5DPGsiAhSPa27JW/YKKMoP5Z+NiD4Q/jRnABT6Peg9fsoRXX080vK6/AGx/anj38rPxUHpMm44MWgGYBh2+9efp39/YpdU+cE9vxloVzVfzpr38q+A/nkKz5wBkHrgv8ffh1+ZAZCPRywfOwK08/NW8ecZ5099fOrs9+pZ/eJs7/a3e6pERKlVPppPKxvhD7aFbUryEZytMpI+5W9bHjNJg6XVNYhQrpHhVCoPjbJatPR7/Onh9tifHX/Cqvhb/LmNXmB9yR7nM6XXio/T1/Jr/ZVAnUuzjnetLyvP/ze3f7E/tPOkrXCmlL5lTVnDr7GnkY2cTJVszeCaFX9bbnmiIqGNerFn3teDlXrj+t563wjld/i19ujVSDyLwdm5z10AGnu01DOmkvU9/vrjl9st/S3zkn+8vo5fsl9+3u1vthcB8jVnaoxXrdHHTBfRFOvIkdE38lP2utfAJX+QHJdh75dnfKb0zddEDI6/4ovZNQB0JPlG+nreBYDAL4oUexN1KEvykBZN9IsqeP2s0Ipo55FX8rP6Sn7Jfrcc+QOofcl4gfC/5KlaVtKX+BvARxW3r4nMn0D5V1jz9OkZfTU/bRF/Nsef+REBiA5+3m4R8md6SvaLY4HQ1/FL9svPu/1peTfwc+Sto0Cv/lXo9WvUcw/uWi8A56HbdwroZgA4Tb1dq7zm2TMA/TMAsp37PAmwr/y9R4B+e8+eAeiR28r/bPvjUnjAin7AASDCMWJMUnw9+yGn9fX85b5WRBoZOX495h1iEUcTEY77/Mn4DrlsR8M/LX6DfRE9MwARyvWwIsVrQ6Uh8wg44h15SSpt46IZiBPT4v+Wj7EtV/JwfonjRYG/9l83AmX1JXvomDziEuqxAqev5df6W0GwR5Rut1uo84rzl9fX8fP+7/ZvQ9H+eO1Xu1aerutnG1OQW/ltX82EP4z+8cMX6PxsaPlnxT/Kfh9G9+C9ftQj8NRr5zaNZVm/bwbgenj9Gh3XtSPA+Vg7AyDbsR6nvXpWv3rl3vKjsaD9Y7ZReXaEm7OUNCjf1pf5G66jtfTv+BnLBCOnMchUYl4ExZfy8fhLxxdRecqegp93fUD8nF8GnZPrrzIgdSMF89PfXxVKP+puUBA2DYGsz/LP/kIy9ve83cPR3UvjCMhuT6p/cXxj03f7a5RbefjzZKye1a9euVh+t3/9Vaf96huhL73v3qVPVH5PhXnrp6V3ZfwD9P8q/wUS8T3bl83DBDL9fGptGsuyPst/7YSMCO970Ue/V300Kv8u7vHcrX6445J7b/1o/aux278H+J0z3DtohvN+/6XPOA2Dnj8UUKvg/Gz9lt2R8ff4FbJ/xDUAih4qXg9j18eYfRaw+vwIJQibBJ0+z6/zXwlJ37rmaLUn6ZvtGSHqK+vd6odaXzA6PX4M7rjM0ub5q9C3YLf/te3vvc/9yvvkV0Dx8/YuVB2A+P0uKEfLZz7K3xE5pvXHV49MlPyTxyMRQjlnQ/xeFztDpke1r1Kf5ceYPh5r1zsXl5ZX1heOuyvaH/1Spd/y9Kte5Zvnr0K/yW/zX8Ru/ymI6Jcc52cif20ulY7k4PKz9TW2R8Tfq3O+rrjsAMTvn+p++W/+kOflYdph2gLz7UUX4vZjGPSdIyMf0BUpR7Zql4DyeUGifbF963MAsB+c3155xlO0e6WH47SC0c/4msddQ2+IPH7rv+qh5e0WYeRzANDvRsk/Oj5OnjnzyvaX4L3P3aMfhG2kvtVPbj1cu86u4bsy/hn6592/8nMAVl4Bv/oq/NX8J2v/cwBO3697DgDWzlOPDV56r/vAKV1fDaILuL9n6aznANRsu/091jtt5P3u9Dka7nP//imeAwBK/QgMvzmKTh30vAL++QUUG+Utt5/W5/k7YunQGYp8BiAC5O+3P+7xLvKnXDX6jW2xCFY/IH+Zfnrmfzc3qa/gb/pv9IGTpWM2EOUP/2t52R3MRn1KfZbf4v+Q4yfvj8PZXl/REWe2r2pXKtXoS76L/vvjL9oRnb+57U8M+PyluGz64rBit/+8+LH6Ve/vq3hRmqB9PgEH9vkCEfGi/Gxo+WfFP8r+YSfmW/1WO04Onh6sG6tH4Kv5tZDG79oyMzB3BIiP3R7Lsv7aGQDZpvU49epbsNu/20aENHaH4ln88fgbM3ksJADAPgdAqc/yIx+LlIlDlPFlIpIeeeY+/og2rKfV5/it/rviF94F0ETxLgBqkQDvo+Qoh72o+kNz5IpeNA2JT0Dd/Y50AS2fV44R0QeifLPuFPp0ecYoIR9x/PBuUcetbE+tj9UWxc/5ox2mDdPf7d+2Nzr+FgKU8wHtEMboS+voM+TYL8lPrkl1Td3mWxF/C8ryfwDlfe6fuPj74E85QHEFvPabZbC8++r/TjWWf1H8UvlW/TTvYFDoU+Ut8hHHDxdDBEDHLZajfOzT97T/0PMH2dTmh+nv9jf774sf30dukWueA+Cxvxp3fQ7ASISYnhxg9+2MJ58BONb8P2lg0nNNOBzmqjMk5XGK5VK+pQ8A8pomoauFpB8zfujwf0T8CQHpYf8oed5+lB+Sfu4DV7/Nuif4TfrIRlFX4ZCmrZJLeUlf8l30f0T8uCw+H3DbSueLQ9/s/25/0Ya2rq3fb7j81fobd4V2jTD/vHL9e/Xa+1p+aX2zfRW/3H7auwCwH7r8yd+n34rhlJblSrmUl/VxOYv//vjr9rfGiWHT3+2/sP2/PfDW++VbchIGfSSPaDvLnrlSDtUnu/59cHn8wjUAyvoKyA1KKlf4Xfp/yc/WeHSm/Gqs9gfzv63+Ma6Of3Z9Xe3Pbn+TnHiATPGxLacZ9PriA2w0V6lrZHwZ7XPvZ8nb6+uT448An8f5+M+HvDeb9zWplJKvxGofnjwDoLE/cwZgRP7JI0B//tkzACPy725/5BO032eP5fj9c1Z9ARGlrTJ9+lHYpHJeOS5n9d8Xv8a+iFF96YhspTxOpfI9+lzZq9KV8Ut2MEbLvfYkaPTv0P4e/2fqr8Zu/wviTyNFCBEgHJcl4hFkJU8jyF79AQemz8a9ZwC0EazHngF4Lr8Er39Pia9vhOfP361+rp0BWI/d/sVIMKL8FfIRvvdrtzapnFeOy/VF4FJff/htbGxsbKzCezsAz8fyDsA/gGfPAGy08eszAAmrRoB3w9tmABJ2+2+8D/7nE/x9zCRz54b3t+QA7NowTqXyPfpc2avS1fFDa38Q5IP1RXtGaPQjgOq+7ll5r/9D9XFhKT9aH2G3/7uvAdl4AvYMwK9i9l0AZ7nyaLj+Kmh6hHaW6xvhafXXx2+Li0ef/vr4X9z+eRpR/gq5B2//BVke/6d3ybmRj29b8rsg+cn5NVv+NuD6uLr+V7fH3eP31s/V/uz2t8ljkcXXpVPpWPnqq+DffheAn//7OuA8Vurok+R3gXV+c7T8dvh8Q/DfJ6FIrfqn4PvMdJyHtjzvf/boh8Zxeb6tonxvRbu8Uf9G8ZNxBDlOl/6N4t/tDxBDhNh4KTCWx/QgmV797x5WYTI2v58/V05HpDYFQleyJZXv1afQ8lcDi/5d4s/3U7pSLF79lr0eWPSl9vIc3xr7Xv+9+l7/3xb/r7X/58e58W4YLP92AAInF/UBWs+hm/wkvIx/0QzAbeL3IV/ZT2u+/MbLr8bm1/C3PNNcyzEzMg2/1daZx8etVN6n7/F5ZB2vuQagD7v9x9lKJvOPsUixfIB+bFqMKBX4OvSjsEnlvPK7xO/AuOkL7Ag1RzBTbsXV9q6O3xvfaL7d/nPlq/G0+H+z/bPR4ux3ARCa5ei5HMHSo+vyk13/Prhb/MryfwDnO6/D9ygLaB8lx+XEM0jy2SiP0chv5RPwYbxx/OnoaRhuXgOg0G/5p5H73ocuAR+7VnuCvtXeRfHjNuXS4fo3ib+0/r72zxVCkV6tv/EE/H2OrAAA4fObkn5bjjxOkxwg0+Xsd/wy6/TD8ZflT7q9PjT1Ffy5jV5Y48/LR4DqfuXCXkCpVd/jP8Nv0mfKprFSQMc2QNmerVSjb/GJxIz4w5liDqo9R+qb/d/tX6ZWfQfwmPCOY+qNC/CXfQ4AAJ9rS2PMer1FPl17qry62HtcNX5ZRX7F+aXiZnoXt4w/3xngu7oYin2p9Pndcs5maPX9/mc+t8ZXFj6yP0PHpUolfYtPJGbEn87ftCOdtVmes+nVN/u/239o/Nh643W9+Npx6lpy8XW/Nwb22RqDV//uOOPBvyLUXr18Nbh1Mu16n1f/LsDtZG03rb6VZ7R89fF49/i99XO1P7v9bfK6fLZeDOcPOAQo15Uj4jjyOn3pqvncl/bsQt9V8Bz/4QfzA669yl+rf7f41Wh0aPATsM695ROxZl4drMHm1/BzT/KTnjTW1sfHwIyr2VvQ83vv0KD17xx/OktTu9F5yXZb/87x1yVf1P4QY4QIEAGKQcs3f8gh/fn8y/I6/ZSPnz1V+VMLSEldpiWjLVP8tB+VHhefVf928XfgD+8Ix1886xUyed1JZToUkRepwOor+afhpvGj8nXfEYq1zbxcUOvjY4A7Jlr+K0HqK/hxnFY/mvp3jr88S8l8skmmCv1bx1/qva/9bwSvWzcNS41nxq+9T/i+I+Dy/t1601iW9e8bv25/L0++73YjoM0v+mY9v3s4ZmPzs+nnEzfCPfbiab0jr9OPzKbz/jDyGbuSzxuQTLS3ylY2z0H526t/t/jV/OfcT/3gR29/Y/ZJcPf+4K/HL8U32z9v/Ur+zbbvxd3rfzW/hB9vf4Fedw2AqC+UUK3PxxADxIAvNrSts7NOLLsIcHX8Kn78DMgO3HcEvGcANPt7efJ9PSMg7QhUU+aGIzC1bq9cyz9rBsBj28Lv9XEmHhx/RKm0n9Nvl9CPkuk97lH2QqyO36hfXQOgBe48MJ2JyItUYPV5/iBsEnT6941ft18LSt+zBir5g+Rk/Ap+rGdth6b+A+JvlUk2ydRpG2O3/6L215kfLr87/DMcPwamA8C8jQqVwBoEquO5/VStSs4WVfJL9o1yM//i+CNjRG7flr7hKXHVDu2T6Dh9JX84S6qes4bR1L9//Ge7Ne7jJ1OiPODj4P7xv739JWieAzAD+dQzlbbeRWjlaeVn67fsXhG/xocP7292eFItBiY/W381rop/db1s/ja/17/Z9r3Y/DQ/d597rog6AOXoTtDvXp+vfgDRGrjyh1bkZ3/AExUX31Gs2QG4ffwaH5pceL28Xj/vWwOX1uG16/SbX8fffg7AuXbI8XL6/WitJePPY9g8Fr36tEX8eXz8854D4Pes/rzbn5b3k8DZOcjyxH3/dJ7Rr+xF933o/Vod/IbnJEzhZyz1aY3h55YAAkD27P/PjlCVaOUzV0NZqtVTqeQR7zDwJ93Mhomf0Dfx5zYo+xI/oW/iP/zH/X3ME2gLWL9ZH4y8KhuIz9Q+Qt/C/zV1xEnptOxlx/yhD43ynL1V8R9y3LbSOIEu/6mD+Jz4v6Ze2/4U0n5u4CfJrUh2eu159VfjKfHzo79yw9JSftUVuJvfxi/NN2jLjMJ1I8D28Ttfn7eKP8+Iv/dKcccV5ia/ONu7/ccRfUzFj81zaPv5vkCFY9YB+IwosX5lD23V/ewZX9qfzTmUZSg5oa/lZ+7jh6NI2U2KhaSorNK3p8Qv4SyTvQ0QI5QbthpQGXzkju62jOYn7V3Ib4WVHysS/lAjkJqP1++BcQTkZMo3BLH9BX2HV/jzjPix7WZbD9Cz+sXZ3u0/iigL0BpCoPQJe8U2eKQg+ufgx/XRVT8Ofi80/PrrA/pmAGb1kPXY/Br+PQPw0hEgY087A3CFP7v9+X0TkI8oMUtE8tF8UplefSskWzO41sSPZwgYcGtVMZNjmdUNT6d2BHevDa9+bqMXd4pfskfJR8bfw6+xPar80+Lv9eVX4n9b+0tryi053qfJa9awNTJqDNub53zSyi35tfF33SHA+4J6wda8tN+qt/l1+fbV2/IMQNIfFX9dittXa/XF365vCZydp8Rf2+ubAXhq/K9uf2FNuiYp0+Yz67ENSk7Y614D7+FvxNYjf1j88dRkWxzUTwKUFk2EfHIgfPfHrJhG7uUX91v1nhJ/u+cXUNouQdjHfrP+1BY5fl6rh1+ugzY4Ow+J//PjXYik2ijkh/5D4397+ydo7+sv8iDk8UbIR8HLPyTv4Peihx9AfwrgnmjdM33qCPjt/N77t+fOAOjlvzkC1Mv7+bE9K/9p5Ynx7/b/ZAEgQvyOL4/RIbrvv5Jn+pHKZ/ehU/J45BrhKmT1Zf06/ro8HM8B6JI/Nn4F8O/EuOd++Oxcf3/dWOz4d/wr9Vdjx3+H+OkffDGf6c/6AdKWemIHQBeZrtS0DsDfp/zn+eDZM6WLvANeAwPnUZZgefzeNnTqB4AYP89T/2yfnZHdavmjsTz+iOxZ+Z2H4PL4F+NW8YfvP21etBcD2B6SLz3q1vbMfSv/pzRfXpJ7+VfHv7GxsbGxYQUeT+rzMd/iZ2Hi3KIg9/OXeW5aXiu35+8RP4s0AwCtdGOjH9II56dHgLA+/rfzr8bb488RhOflSPKn477xz7oGYGNjY2Pj2Rg0Aq62KMj9/GV+8QxAtV0VPwvlNQC4N2rNS/utepu/j78X4/glr3itHf/m9/P34e3xj4L0vntJ/nS8Nf4Yy/vRrPmn41fjX+3n5t/8m1/mL0eT+jweqZ5yPHJtywtB5RkvH8V/ymMhx+Wx/Ffib0D5ICBnDzSg/bhrKsmH9YAXjcBvE39tNU/bJQn72G8FPy7F7ZvF34ffiX/oCPSB8ffhN+KP4fNPm5cQIYZoeuKNdI295Rp8O/+nNF9eknv5V8dPIXUAIpT3+6B8QGJrXtpv1dv8ffy11TxFSMfANw0xlnnMh+UoX3NR/NnnKfx8fO+IXzoqruTf7X9Z/JCnjfO9Jd/4TXBPrZKepuWVa/3a/LP4094r5zBzLor//usePqyOX7J/Jf9uf37feOKsIxDh/LmH72dKHjNZPGfJIzkF3ZAfZtO/gpmXj+IfsgTw4Pgb+ANx1PndsKFglJsxmb8qfzG/iPn81AhkNgwjoLkQ238OVsdvmAGYzr/bn983nViTL7bYL/f4PIJfG6/L/o3jb6NvBPm59uTcqBIzR8Cb38+/ZwCux+r49wzAWiyMP6LUIsf7rHnJJ2u53jwXo1bem+dwVfwsuP5BRDKcl7D1n62f63Cpt/xq/tn27h7/2/nf1v7S++U1768fjauvN5D47ubPfYF7qrqeqzQa1o+WN38Pf8lzjkB6Zyns2CPA+vOeAbiOfzXuMQOAJwy/r5Qpy1XqsUh75MY18KH8mM8q/4n4UVn1bYA1cM9F15ORFiX0iyabv4ef5gnYQiwEdZ4rp9DPiwaUHp8n8qvww/FLVXAl/27/Wn1q/FZw77WX3kcv6a/mx/u15Ubxa7Gav+nbI0fAb+fneMo8HpmMTDUj0Jn8Gvxy/G/n1+Bn44fv5eLw+bnIxpvxU+yQJwWgf1g+W/Y62ma5VriidCD/pzRRPtlL8kn8TIm2dC4/T40miazPu9r6z9bf+F2kY4FLN34WxQ8+7gAA6gCkW8nOPGSf+B8gWR+qstS+4fzKDsDPxk9w9QN/V1z93bH55/H/7AhIWUe/HP/b+TX4/fjJawDQ529/MGb5owizifr5Gnf6Kc7z8fsjPIv/oILi5/DMxx+PP+eBCEC8fXD2ZYnSSfjYyyKVeHr8q/3f/Jt/8zv5IyqX5+N5IQKZam1Taf6w4RhigBggz8cQw0x+zV0APx1/zmN46DFFE9v52dj88/h/eQS2+Tf/5q+6EZH4zKWi+wb91r4Z/JKNvMwvxl+B6wNEJMN5jRNb/7n6G7+LdCxw6cbvg3oOAP7MpVrbGv3Wviv4V+svj7/7hMfvmhr57q3NP5u//fYw/Jay0anGu82/+Tf/LP64aAkAAKA1BX4F/2r91fGXSwC6I3LjXUiTRYHJc+Ws+pt/82/+BfxMByDdT55+MIDKS5ukD/wPIF1+MH+2HeF36j8yftjXAGz+GOG8PBSufBIg9iJP34Ydf5m+DQvjj58/5W2AEL87Uxk6f2zVbWhafeRHkbuCH/vRqf/Y+DNwTwI8+g1Mvup0oryoL2DzT+UPRTaQFg8dq+9q/YDSi/m9ci//6viX6+/2L9Or+RlgtwQ3t/6T9f8A0vpvtcVW/mORz0v6tTeb/2r+cm0Q8+MDp5IL/sv6i/m98qfHv1x/t/+6+D/rv59/8M1bEWIA3zyyD5u/l/+c/l/n/WqgqZAX18QHUn38mlzCav+2fK5cwmr/LpXHVd9/C38+b4FF8Rfr/2n99+qtcmrzX8xfrkFa/fPLV/Ovlu/4d/w3iZ8ofwlW8d4Fy+NP/YAIZR9w59+Vp5DKaMo+Ud8r9/Jv/bX6u/2zsmFNnrtH/S355fG/fAbm3SjXIN/Hvxo7/h1/nq70pL0kMC0fg638r+WXx8/dBbDxArh7gWkCq9PAan43dvwu/h2/S318/Nz98bPym/9e/BvvRLkWudOd7vQVKZDPAVDnj/vQO/Wr9Hr+hNfGn2YAItxrTXrnL8zjkchOd7rT96QbGxsvxvKRyE53utNlKUA2jowX5gEOTxbxvz7+3Qnc2NjYeDUi+iW4LL/8IrjF+ZvEv/FqrB6B7HSnO12XApxrwhfncbran6vzy+MP2Y6ACuz8e/IbGxvvxWvvg1+cXx7//hHYAHw/8k53utP3pADx5VPg742/2L2xYUKaSFp1FG3+zb/5B/B/fxCO+8QvyuMfwOv5d/wbG6tArEW+Cjv+Mn0bbhR/PP5Gff4X7oN/e/z7OQA7zyGV0ZTt0g8ovZjfK/fyr45/uf5u/zK9mn9jAwBiXLOt9uPt/F7//PJU6sxdy79avuPf8a+Lv9w+Lny3q/KQRqL7OQCr4n9vzxCfIm+rCeIrogCuD6m+niaXsNq/LZ8rl7Dav6vjL8rHq/LLL4JbnL9D/O2eIbfF2M7LG8bmv5bf659fnkqduWv5V8t3/Dv+dfE3y1+Vx+nV/Kvzy+Pnxr0RyXBewtZ/tn6u06P7BH2v3Mu/9dfq7/Zfj7e/m+658eM+I9Xn3Py/yz8C5Qjofdjxl+nb8Pb4oR6Zvg2L4o8H8WM7IBsTgY8O7mjR7rcebZt/82/+6/m175OXNq09KncFv3X/r8UPMaTdf9CJiI4mnJ+NzT+P/3hS2HGJCpO37ldOeG3+zb/51/FrESGGuHAWe/P38ofj14LrAIhryJgV5aevYW/+bn68NlitFaaCs1IJm39qutv/3fyt9geA4xeFSyVs/Qfpcx0AXLbSFUagor6AzT+PX/x+mv/s8TY2/1T+3f7v5hfaP40p0zoxzp8IMUCoflYk/TT9TKSX8Ev49fhjOP8BhKpSdMdoP6RWmM2/Gk+Pf7X/m3/zb/6J/PFrg0u9+sUPXwz1D+Fk/tX6q+MvOwDdWH0V+uafx4+vTh6ZSn7mZWalEn45/rfza/Dy+KOQjtRv7buCf7X+8vi5PkBEMpzXOLH176mfPnPpxm9jt/+7IbX/lWvQrX0z+CUbeZlfjL9C9wkvrEE3tFolJfnmv4I/HRYz1iAlP/Myv7gGuzr+t/Nr8Lvxg+78D9/SZCqhpZ9PPVNT4DHEMJNf0wH46fhzns81ABqTGz+CNAnEtTqeJApoP9bT7pd4OT82/+bf/OP4Ae1v8n4HAjHLH/YCvUFejtI3/gAO50/Xw+Xli3zZAfi9+HOeFdcASKtgmlWyzX8H/l7k1qm1ybns67E6fs0a9FX8u/35ffPY1ef/57Lx8+LzU++zH4730cdK2taHqiy1bzj/p3RV/rT3tfir8RNcVz8HIBCa2Erefdn8i/hzG1yKoSqfK4bGvln8jfKj7d0yfqnTfyX/bn9+3xx+0/mP3ZMOHUlvuT75C3gh/031uV5h2k/L67fR2fRlbP65/F7/+rBHgPXnPQNwHf9q3Cd+xfkfv9s3E1MaM9mxZXJWP/0rGHj5UP6MD++PheSX40e29L2K2hDWlORejOYfXf7X4/81vD3+t+Pt7W+OH9+v3iOv1p6Lj+21aS8/5rPKfyJ+VPaT6Rwhzh5hbv65/HsGYAVWx79nANbiPvGvOf+xEzfju5s/05H6ARHKPiDOb7wP6RjgUm/51fyz7d09/rfz7/Y3+BJ8ea3dWfzSPfFaeW+ew1Xxe4F7ida8tN+qt/mfyV+X4vbN4u/D78TfNwPwO/H34Vfi7z3/IQIUa8y4jCT/7jeugY/jj0xqkD86fhbK1wEHKDuRxnxyJ3z3x6yYRu7lF/db9R4a//fIYLuHrJyxj/2W+IlS3L5Z/H34nfilWrmSf7c/v28Kv/X8L+4zz8sFYmvIezGKn7/vv53/lfhFnthOYXkPdPP/Bn+bnZf/5ghQL9/8u/0XnP/x2Mph6Tef3YdOyo+tQShKR/Cn8nA8B4C2h+W/En8DfwBHXzJkPdIi//gR+Lv54zfzTUOMRV6Ue/mrSFrgtcbw9+F34n87fx8eHb/n/N/4cfwBAMTvb3327Ogiv/FoBGfqRHq6eXrPABR5vNXyp2N1/G/nX43l8U87/+n30bcg3aJmezytlf9Tmi8vyb38q+Pf2NjY2NiwAs8G6PPFVHr1EJsoyP38ZR6nVrk9f4/4WaQZAGilGxv9WD4CWoy18Udkz8rvnwja7f/u+HME4Xm8kvzpuF/8ymsAuuH9BhnxDbQSd4ifWetTpwO405pkPrvIbYU8rUc+FcvjDxWfid9DDXCD+BfjDvGvPP83bg7lNQC4N6rOowNI6tVW8uDkl+wr5Y+OP+/XRXp/Uz4wfnlWCcmd8XtHUZydp8Rf8xn5MytPjH+3Pww5/0chCgNcSf503C/+a3p4KarQmX867hK/ZNfKu7qdNn+b3+vfbPtebH4bf2974gfUp/y50fKaAO+usqyah//Mn4/L75M/M/4GlA8Cco7AA9qPfZPkXn5xv1XvofEHIX5WztjHfkv8AFUpbt8Y/skjwLvHH2p7phHoof/Q+N/e/thM9/lPI0IM0fSkG+kae8s1+Hb+T2m+vCT38q+On0LqAOD1nrwvmK1jQbZblUd2cTmMSo7W0Ez8ivvZm/xoLez18SN7Eh8Vf63F7St9YO0L/M14FWuduY0nxl8HJn1b0OWfGv+r23/k+d+D9MvU+wvl1V+Np8QvPTWqVz4bm9/Hv8Z//Lwybt8YpvvVz3Xx0/asT6Kb6c9uf37ffJjiixCL99ETT8qr5PHQTfuhFJwyUh5LgZkfmz5tdskfHH8Df3yvMJQbNhgkuc4BNUbzu8vfPH4M7E+E8hgi5E39ThhHQE6mxihQjE/Qd3iFP8+Jn7bXNwMwDrv9689T4pfiM5//2Q5cNYGRjwJnX8s/JP+w+AFA+T6AvhF+jKX86jHw5vfy7xmAufq8Vfx5RvzYNsU1Us/qF2d7t/8oJo0n3fHh8lQ+MrKWHiWLRLnePOeTVm7Jr42/6N3xJK2uQYRqDckMj65X3+v/jr/Ul+xR8pHxW/gBlaF0WvbwvtzmE+IfPXDv5d/tv679V3//adawNbKRa+CSrRlca+L3vZEQ9wrrXmLfWqHU29T3Rjd/K8+1n5Zfbv9eXDsC8vo9fnbkmvhjTHNC6W+Zl/zj9f2e1Z93+9NyH8vw8/9cY6Z1sTxCkTrWwGn7DX5cprLJAXFh37T8nP9Xxf/VyjeyLHsboLQoUncJdX0MaXFEv3jS5I9o55FX8rP6Sn7Jfrdcy8+0X/weDxzFIZfbP5UnnWkAW+X2qSDy6+uzS/+28YdMHgG/11P2j9fX8Uv2y8+7/Wm5iGb7Tzz/pffRz4aXH4+KraPkJ8Qf0GZkEEeA9x4Bv51/7gwAHrlQIxmt31a5jX/OCPD+8c+dAbh//HnJd7b/zPM/jSqz99FTP4ARpSShQkZblvkJtRgjEOWTvSSXDT0yfgoDlzxIRCeHV3817hh/ssmlM7iu1sd6Vjtefa/eKP2Wzd3+8/S9eqP0Wzb72/876owAIQKEznXmZKlPq4M/hggQYl0+2UvySfyMpT6tMfz96BsBX8GPe7Ha3q9N/77xX8d93xHQXDwh/l4fZ9q28Ht9nIm3x1+tL6tHoNVaeoQir7x9XeQXrgHA5WMhaekr+XnHr4lf48OHq375gLcjMfsgvPt8wK/HL8V3xZySB5J/s+17cff6X80vYbf/XJDr08c6dcgfu/8Zi+f5GCK09LXB4Qf6HnnlXQCsvoZ6bfxN/nDysK8rMI4QtHqjsWcA1vGvHoFsfj6VfPPOAGg4ZmPzr+Vvghud0qNUeo9ev8c7j1zHsDJ+o351F4DUxwgoFfSiwmQLrD7Pjy9/tF4OqdO/b/xqm1wqAh8D3DFhscmA1FfwYz2rH039O8cv+RaE9lfo3zp+Ru817W+w2X3+Pxjan7f34tOLxKPlM3//GYDN32o/vXVef/UIRM9vjVunf+f401k66y6AZ80AvK/9z0/zzv+2qrA118A1+jonYjM/UX91/Cr+7BqAShmqvXr5auAKCsL+0fpvAz4evMePVb76eLx7/N76udqf3f42+ar4h6zPU2vgTv5inZvg5Pzt1b9b/Gp+8RqAPQPwbP6FIwAD5o+c5owAR2FG/FfMAIz1dbf/nDNr4vn/HU0OuA+9X4vil/zgynXq3y7+DuTXAET4rAF+Zwbo90uHs1wBpv8ReZEKrL6CP+n2+tDUv2H8yF/N+8FJrl59k/95DA1jPVzZuCgk9XyshNuVSjX6Fp9IzIg/IJ1w/i3O3wn6Zv93+5epVZ8pe8X5r/InlKkVXv3VeEr8qXf32fBb5jj589+G93Z+3LbXY+4I0Bvf/PqZNwMgp7P0LdjtX6bXwhlfJLa6BJCSukxLRltubcCs4XP+9urfLX41zvjGdS6wA9jybLkVV9u7Ov5f49vt35avxtPi//X2v5wvAFqPLkew9Hp1+cmuzzrTfR9/r/6t4pfKn/H8AUQI2QYARR5vrFzyabgc+2CE+wv05vGL9pz6Zr56V2KNabbVYR9HEKE8TrGBqnz06a+On/NLyg/T3+1v9n9G++v9GXz+3woBuY/zs/XvjjOev3Od61zjicWaD04PORC6CemMwSmWS3lBP/ehAqerhaB/u/g5HSYt/O/QV6FZNqDUqo9sFf6FwzIdH1Heqq/BZfFDHQe2TcoH6pv93+1fplZ9puydzv+Np0G7RrixcUK66pjOn2ugffrYgzp/lqPlo/TXx2+Li0ef/vr4d/svRkRb+pvnSjlUn+z698Hd4leWD8gNSirL74LkJ+fXbPnbgOvj6vpf3R53j99bP1f7s9vfJl8ef4DGerTmKnaNrM2guS9/lvwu8TvwBwCQr0XlK0JpXUyS3waSO7Pli1CsJS5IjyPjqB+8rjhJnp+jqHHid7YyZJ+oOnPps/5cHz8ZR5DjdOnfKP43tz/1PX1NGkNceJfe5vfzj3I+Ilspj1OpfI8+V/aqdMfPQ1PGq//2+O+M3f4/Hn90xuesnA//ohmAeJf4vcjvR81Xl6iUkm+sRau9rkjvgL413nH5u2DNNQDr8eb2X3r+++rBr93apHJe+V3i39jY2NjYeBje/vO1PP5/AM+eAVjtw2r+3Ic3zgBwvlyVv0Md5HjbDMBu/3ef/xs+jFpfjMhWyuNUKt+jz5W9Kt3x89CU8eq/Pf47Y7f/u+MX43vywT0A94h/zwA8lz/3Yd0IID8qrs23R4B1uVIu5WV9XG52vGUe77fHiWHT5/zY7X9lfv353w2/hWfDGT9+Z4EdoelGPsaUraxH8pPzZ7b87Xh7/V8d/+z6utqf3f4++fPgGwHf+zkA2ghc6t4phM/rgPNYqaOLkd/heQD0fckMJsil+6rfgb77mPP+Z+990vje5LwEVa6US3lZvyh3dfwBl6vPh7nPAUj8u/1Xxb/xZvjfUVB+d/Sv/eB9ko4239IHRsbZsELSz+UA18fPtUFP+43Qp9Bb9z36s+P7tfhHy1s+9WK3f3/8q8///STAufFr7GtQruPh98zzchi5FuTyfiVW8/eDX0e+0oM8HWkDH8f2NWCd/gzfPbj2GgAfdvv7bfjYp57/EaWtMn36Udikcl45Lmf13xV/jBEiRKgOTROcnYfcH8HybLkVV9u7Ov5f49vt35avxtPi//X2v5yvGhWXI1R61Fx+suvfB5fHHwFCDJF7FqCyvv4AynU8ACjyeDvlAMU6mNQmg+Xc86/V8M6bgJF/dv2Y7eG2nc1X7xpx/PD17o1P0Mf8i+Jv2mykw/V3+7dxUfury48+/zcuRogBAgTwXQf492npAHC+0/6bBiZN8vMYaTgQ22IRrH74yrKU0+31oamv4G/6b/RB2p/667m/Qnq0ezKl1Cu4rH4WGHH8ZELCv+LYBjDH19SXfBf9H3z+kMdjlhbyCfpm/3f7izaedP5v/AKk+1rxXrzvKky4J/VR/G1I9xHP1tez5KnHBi/1WpcZPNZ9Nmr/0lmaVq3pvOSTVt9Xv7v9/TZ4ywvO/5htZ6cgVrJYaNS6en3WkdjMT9Dv898Rv3ANQLO+zngC2k/t5eVS+auBA8V+4v2j9d8O6/HTK09YdRxy5wGg/ZKeV+61J+Fqf3b7++T3wnV3AVR5fH/8N6+9yl/S5/it/rvij9C8BqCJxvMDLDMAK7F6BL6av41nzACMwJNHgH48ewZgBN7d/hxucf5HlLbKmPS/I99jdIvzTYvUqLg5Wq7LsfxK/4kyLRlXRmNfRE9fMkJ7jYgq2wuv/mrMih/vt/BY2k/rl9ZPK3r1PfUzQt+rN0q/ZdPT/lauq/V/vf2fcv6LdjqUYhr5hs8IHOfbbKoZgKY+z98Ry+1+3HQjhPXgR+Cpt8ptGsuy/r1nAN6D1fW+mh+DOy61x6lX/2qs9mc1//OQxsppDF3kdQZyQ7HKE7Zi2k2P9Kv9TX2eX+m+M37CllXnnLP4qwwIXRKxxzL7hAilHzitr27Fm4ZA1mf5L4p/44OqOqT6l+rPqH+35uCOy/o8maN/NXb73wx9T83r08df6dJXPPdToP2J0PBdGf8A/T/rAWx6lvhE8Pcn888w0D0/W6fP8u9vhCZGHz9VeW/9G/Xd/jrtSXZGPwdglF+9crH8bv+bIz2/nktHcnD52foa2yPi79VJ/9LLgEzq7TUk5NC0NUB+ZIK7c9runU2f59f5rwS31qbd37LZswZo5a9sSgTC8SPZU/shQF2/Tn8rjDp/uONTe/4qj28Ju/3nxH/n8//OkMbQ91uTX4P+uwB8V+XqrzbtW5v8HX4bj/Y6CK7cuKu9R19j8rSrwMfGz/k37y4AHb9kv19uK//r7d+ysvD8j9yWXy9PrYHHD0trOzsZXAqnzSovxXAUY/Rl/qb/Q+Ln/Dq9aOqX1wD4OjyJ/W7dJuyX1U+v/l0hxfGUOFe3z2p+zg+rfLX9Xqyu/9X8vVjenvFzvXxInyEGyPOq99uf98d/r8IP5X7Id6J8+Vz93GLx/H1WX8nPuz4gfs4vg47IpZsBoEa/ewbgGn4bzz1nAOzHT9seLb3vCNAf/7NnAHb78/t8uO/5jwl7dI6x8mdUG7Oxs0D2eXpeNZr+5g/5JH7SpcVo9R/SDAGXSuWhUVaLln6PPz3cHvuj4+c4W3U/Mn4LP+V/rw9aexY/WvWjjc/rrwRLe3rbW+vLyvP/ze3f8uOO5/+0J+Ed49fvyF07dv48Ne/UK5g+dkDzbh0l/+QnAarsa8CPIqje4DU92Jafn60egWt7uU/lH401/vYfP9LxiOXe+HT2eH7eKv484/ypj0+d/V49q1+c7d3+dk/7MP38j2Varj2jMpSc0M/TryTm+rmd0pXCZqFX5BEX9k3LPyN+DOFdAE2cPmRvA8QIaDv34s/UvuGIZ33HjOjwAcnFbhGuNUX5ofyzIcUn+WutHyX6jx/peMRyuvwBMT6dPZ6fjwJ/nnH+YNsU10g9q1+c7d3+g3DT838o2lWt1xtl505QPj8gAHD3x7fvf88/U/vGQ/LHer//0/hHY42/vcdPBCj8BaRby8EZX2zak/m5OK49f7A9633oM/3Z7X/l9yflydTzf/YUuMenXnkP15olAH0H4FMcyiM2ZvLIpBUlIefPBB1a+j3+9HB77I+OX7JH1f3I+C38mvJaH7T2LHw99bMqfnw+ps95uZbci17+3f7vPf/v1AHAtrBNST6Cs1VG0qf8bcutTxDUwreGJa032dej7KV/i9+G1fz9xw/eL61Rf/LeeE79Pn7aImejpSf51yqh8auvvO982e3P75uDS8//WKaeNXC8Bi+t0VfX8kcmVcq7+AfGT/lbXANQy2Om2WhR3ZMAk4Hw7d5FLIi0PKBiIcB31cEmb8DWtwmChiTv5PfG781nfkQAvkPIyUfxo12hsa+lR+nScnt71lZOS3Z+2iJng9Xj6hfQ+U3IAWJhVKqNQh6RMSv/bn/SImeD1Xvq+T8b1ufj9+a9/CsQ0NaC5cpf6wiilv7WCHw1vw2r+fuPn18cAfbIOf+09u40A2CR7/YfgSXnf8ueRsaXEUa3WbnvkPx4DkA5hJfkffyy//r4cbmokKuQ99nyfgLO98JrZ5QfqzA6fskeJU/7elPJvsdfCSPiH4lV8Ut2Z52/vXytY2gkr1R+NJ54/K88/yX4xs/6kfr3tv0I3+cAlLftS3Ivf9tCTzlrXrDO9GbHzwCMx9V8d+O/P9Ko4rPVz0uQ5KcVbJVKufIjoujjHxN/v98+/hEe7PZf1/73Ars2z8m/+6g19u+z92JDXpo4+ZgZAFo+gN8VP1Uu5avrBbjyLP4A+PUsqhdhWkO8AKunB1bz3x/UYhTe15Kfe7BVKuXKe9HP74zf+xMQMJ+V3+lAcMafh4HDIlKuvBfL2v/pKK5Gx3m8EfIWAgAExfGJq9Ka9/DPjH8A/gAALO8Av/p91l4+rz+r+Z+P9v3UeKvlpxVslUqxfGQUffzO+N1hPJw/s4KtUimWj8Ky9h8axWoE4feSkpfvr7fnB/g8jL8nfsk3H86jtOzz4PzGGljbhSoP332xIwXCnpV/5HFk5R+NVfxSvV5d71fza+3+Wvv/wPnfGvGG+n71OSPgFc8BOC354/+VawDsV6F6rzmorT2LfyxW8/fX53PXgG1+jT1evMfzan5+/zvafzQWnf8xbWnd/NjQ/eqV/CjEr7Gr1uAjkyrkTv52fEL80hq/Ws5Cdw1A1hcMFB0w8nx+AQB67oOXejI2eRA0avkQfkf8pbwzD+f+CHCb5wBQ4OR4P3usKnmsGMXfdbxy9QvZ9yQlP9bfn8rP739H+3/x9PM/HQYhZp+pjZC3kNbNJUx9DoBQRoqvKZ/aG+xD3j+ker97BmAs/1is5u8/fn5xBCjFn64I52NptxelbzleZ/Pv9uf3zcH68x8TurVVHQBY8RwADbTauJw1zyLvs+VdHpzP91EyjdwKL5/Xn9X8uQ0u7y1/d37JvlVOle3RGcGv5cpP5jyP6xnL87z3+F/B3/KpV06VvWv7U/Z+7fzfzwHoK5czU15YvLL1+q7uwZ72kp+lv3r5M/nngfb3Clb8WTcCLP2tR2C0fJzfY/htMwD1PpvPbfs9/o3k3+3P75uPq8//5to8J0cy9DkmC4y8VD/5TM8BGMDfHX9rjV94F0Cpz+KPXWzBmqFIis/UPk7fitxequ8IcHRx1HIMpX/T+FeD8Xc21McPqVcvDgZBzsJ4fI7it8RPyS2w1O8K/t3+/L7pWHT+q4Hvj6fQqmp8JT2uZClf2HDy365yCzxzBkDqgY/yZzX/PDxrBoDzV5qBGYcx/Nr4cys9EXH62hmAK/h3+/P75mPN+Y+daEryrcfyucVsL8Vby8fyt0pprVHW8WerXb7/gmTJYCBkWCcvy9nTILcn8fXI786f25BsSvt7sZpf8scqp8r26Izg13Jxqbf83flbPvXKqbJ3bX/K3q+d//zY2DuC1t1Pz/szh5/n62Pw2mBto17hmdf1YDl9qbdZl6Pt1dy1lNJ/Hj+2p8O4+h/Lrz1+bEwr4fFXngHI/3LWWpJaX/L3Sv7d/ty+nzz/wbQGHtEG+Ro7yVnKK33MxxjJPw3ld10DQPHF7BoANpy2r97e6hgrsl0rz9P1Z0Hy4y5+Slhdv6v5OT+uxl3ifmv7W7H4/P9cXF9cYF98JORIO0+/2lmmklNGKr0i31T18ZPxCfG3YokAn9KN9pLqkoVuBMdpjuyBrh6Br+bH9nS45QjAcPzYmFZitL9lC5Qj6Fq3vZfSfwK/Bb/Y/r98/uOCepu50nHjPnwS3Y372X3+JfNpJyrtdPGTpvoRUdqFVl+QW8tJn7lU0t/Qg6tH637KZqv9ZvJLaPkHgr28jCa+O/LPhqX9V2B1/a/mp3zhfNPup2ze4fzvWl1PI9/vc/TPvKR43ucP1AzAIZ/ET7pk15kN3AusxwRt7bZ+jzet/fQIXNa/L7+3/u6tv0eAshzXtvXsaek/gd+C32v/e5+/Tv1srJzG0NL98zXBkUaATEXTEvH4G9HemMmn8Vvjl+qjR15ea0C9fXEupGq6YZdoKN4e/8bGxmtxrnF/H75XrJ2rHsCHr363XA2vvwtgCn8eoyZ+qT565NK1Fot7kLgEl5dSrb278a+u//X6NjxtBKi1OWsE/gR9C36v/Veff5fq99ReFFKNbq/cy9/DNxV3uwZAKvfrcm15bf1S+zXtN5NfgsW/X9SfjV/37+n6lC1p/1PP/9477FvpbIzkv9s1AFxvTdsL9Oon6VmOzkuprH9P/tX1v1rfjt8bAeY1lf+luNp7Zf178lvwW+2/+vy7RL+xBq5CFNLZcPJb4r/gGgCd06z9D0Z3Y7BdK8/T9d8KqZ7w0YzrF+/vtb+K34rVx9XV8ez2/wmwa+AQoDkm/l51f4y46bykf27S/in80LgGoFa4+BoAWw8Qj379PcgklUfQ7VTWvyf/I3rww/Tr48eOJ48AW8fQZ8v/ts63Xn3enyv4d/tjG886fwfol7ZitQcIeUxPwGPykn7Nw+2fxV/uyTLt+yBmyFt9Vc0aD8/lvwYgfab2jZDfkb/lT2u/tpwVV/JT9TVTLqVX++ct/3T93f68jrT/qec/vugd76lLf8fMafxM5SV95wyAn5+JX7oPAsmraw+M+sfuSG+VeiUve7B2fdLJqMtrRxNS/m7810Hbq5/rQZ56bKzCyBFgPYLm85K9J+jv9vfb8LGvPf8BiPFwyxMsl/KcPqd3FX+5p6nAF5j9LgCsae1HevVn4+7+zcaOv8Tb4n873t7+94i/NVwF1aj82fqC5fnvAvgDiBC+R0P4fg7EzE2MtTw9/LDco9enwwrX5JlKu4x/NUIs2mOFV/nx47VhxqCAR/jem3rtrdbf7e+Pvxs3OP83JIRGu4QYIEBoPruY0z/3363d855B+kztGyG/I3/Lnx48RT+fkaJmp2bIpfxsfqleqOPHgifp7/an8ZTzt1d/zwDYLWPdMc8SKNfxoVoVouR4jc+qz/txXf5e/NJ63G/J9xqwlH7qi18zb9enrC/5M5d/tz+2ca/z8wI5XzaizYpn6KcjABXBzwag5Pk1AD36H/g6D2OsbGx8IB1Pvy63YvX5d3U8vy5/H7ruAlDnJX2v3M//zXHvAOCeEZDW/vPUqp9nY9ryv2UPdaYckC9X5u/Ff7se+sVyO548AtRZX1nfq/ll/Fb7rz7/Fs8ASKNtLJfykr5X7uePnz/0v7MQ+S8ViJ36AADw93EihvBxJgCELB/DNfJ8bSxCls/05shvwJ8h4F2oTCVHeKw+rgt1PhjLj84P4mdgrm+j/Db8q+t/Nf8Xjz1/B+lvGJAqsn6jrxX8iP2aPPblyvzd+DdsWF2fq/nfjtX1v5r/4YhVrlWfWC7lJX2v3M9/DArx7kimo+W7O7Yeb/8C2Ufgxpvx8vP/5ae/4xqAEfKU3TMAt+HfsGF1fXr5V/u/Gk+vv9X8G4/G8qOHWwu/KsV+SH79orwFTZlf0Mfl3pZ/O1bX/+o8h6ecv7P0N67AOSLP/1Ij9jly7MuV+Xvxc7XyFrkdq0dgc0ewq+t7Pv+eAcDW7nx+rj4efxVPvQZgjJWNjQ+k4+nX5VasPv+ujufX5W/H+54DcAiWXgMAkPplZw+NHrmWcjzCt+pT2DMAd+6h328EsHo8MXIEm59Pn/ScMaPkuD7t+rQvV/LvGQBs7c7n52R5/G5auZT32r+I33Mfv1f+lwqF42/I8icoechkPfrf6kBrY+frjQGK++hHyyks5s9r9bTRkP+KfswK5J9FeRDkDX0pfwl/fnyEUvG7PxzHDJIDrk+7fomL+fPzIzfxlvYnmuGx5+8g/Q0DIjr2uu18e+mpd1b22s9StbycAbDrc95cmb8b/3Uo22O1N71Y7fncGYB2ytl6kv6eAViFG57/Edo/Z1gu5b32L+O/47sAsKPWjptXfzbu7t9s7PhLXB3/av7VWB3/av7VuHv8z3ibX79+Icfv9L30XQC4J8j1CGt52aO361PQjqC1o5NZMwCz+K/DDUcAHVjt+awZgHqGjT/Gnqy/ZwBW4ebnf0Tbr+l77Z9arrbjujYRyXBegla/VS59pvaNkEt+r+Bv+dPary1nxZX8VH3NlEvp1fxWexLurn+3+r+aX4M3nf9I8+YjeK++1/6p1afN2GR6hfT+ukdv0+c8yMvReSmV9e/J762/p+vbsXrsMncGIP/bOt969WlfruQfWX8rMP5ofvL5O/D8j2iz4u76Kvt47b6QxfMaAKv+3Z8DgO1aeZ6u/1ZI9YSPZly/eH+v/VX8Vqw+rq6OZ7f/b+Oq+/A5vdXPISAU+OIxuwbAqs/aXd8DpEfMOC+lsv49+VfX/2p9O54+AqT0z5rK/1Jl23s1T97kfLqKf0b9XYnxR/OTz1+nfvxugvy4j53Ji/ZxOW7/LH5WXF/P35BHlFr1AaDvGoD0mUslfS2Pxq8nygH0a4/eemvZvCu/xT8KT9efjV/37+76dz//FvKrRtAxjXwDnZf0wTkD4OdnxbG6nv9KeSoW25sESb+9YQYuL6WSfsv7lfzz6//u+jY8fQTIjYrz2rLW3pP0Z9TflZhzRD/5/HXqt0pEgGwIG5m8pA9VOW7/LH41WuP5Xjl6FmDEsPi3sbGxsbFxHaKQ3psfdzaanY/5HYC/ej4gQmhs0izYp0TbRnurvaF5Aply5XpxPb+tfn5P34bxFq/lp/RxbVlrr6Uv2aDKjuSnynrw9PanLT75/L32/P9tBKG+euQh+3f9NQAtu1T+F6GpP1yW09XufxJ/KwXCHradymji42ys5J8NS/uvwOr6n81/9/PvTvwU8P3vlvvhpTIWGz38UF1v4H8ewAzg9Zozr1tD5/Wt/LS9M0evvXP6kh91ubH8WoyrvzJvj38s/3isXrOaew1A/pcq295L6WvO35n8mvgteHr781b3+c8ZF1KNbq/cy/8p1dpQ4bZR/xKAd/7tg/GzYKVdK8/T9WdB8uMufkpYXb+r+Tk/rsZd4n5r+1vxG+f/OeL+XoVvngHg79+3zQDY+Y2Qrtnvkad7AZq6uhkAavS7ZwB0/rexRwAWppWYNYKlRtBcKYu+ZgZgJj/H14untz9vdZ//vPHPE/C+o+YzLynC5+l51Wj7mz/kk/jviFZfEK/lpPJYhnWofmQua60R5XlOR7KplUtYzZ/bkGxq6/dp/JI/VjlVtkfnCn4sH13e6t9sfy0+9crvxN/D9/bz/2M0jV+/I3fl/e2Q3pzHzQAc8kn8gzFq5sHWO9PNAIzDaa/sndYjcLr3Om6EsYZ/HrSjgrtAqt/Z8czhb88A1J+t3lKfNf7M4uf49BZ/q/3X4XH+fkeW6Fl4sSGnjFR6Rb6pOoDfiJXvAsCa1m6GV99qz8o3uvzoeGfjaf6Oxur4V/Ovxur4V/Ovxt3jr66O595tfyoUcvrqev1dAHP4G/G1bJIyGPEugD8A5v5MxmhekroH/vg86IA67dH3k6rlGEr/pvGvBuPvXREBCn9TA57HIC1nYQx4Fn+r5qnzy+Zz4/wUdGbxH1DEX9r6sfZfjYed/wDpnnbu3ndJ/kT+lq0Qv3fzNzo1kq/1ejsw+Xwfd3RLcg1PnvfyafxpYSQ/gD7ulm0pFmt5CaP4Le3e4rHyt9BzfPTyU/EBtI8PLPeU9x7/Xn5N+be1/z7/m/mgGCG3PCn0pXv2a7n3/vwhMwCVf1gbf+bKj8O6awBGyLVXwc7iXw17/HcB9qq+BqNd/q787dYorzehtVvSWt9yvM7gb/Fp/crzT2//a/Gw8z+mLX+PHfVOO0Iec/2jOE6B2R+h0HfzN2Jj5JkbtL/FNQBMPPL1CH+CvKQP325axIJIywd0QyQTNnkQNGr5WP5O4Pq05jM7ERrdQ04+it8BbCowKVf+rvzS0fgZCcWycP4jnWfJ+u8/nmfwt/gs5X6l/VV46/mfvo4D8zPWGj2HbEtlOT0qP5KfKiLJrwTXm6X6gj0jXsl+K90zACPxsBFAhtUjsBUzAP728h7P4/nbfPpyv9L+1+K55z+J5ui5KPe9/f94DkA5NJbkXn4/qBF+JD5z5VnkfTa0BjOlXyLxzOJdDWvcKW+tH6o8IFuWFAh7Vn5NHNo4rfyj0cvvjX9U/fXiLv6/rf33+d+Cdn3+uG0/wvc5AOXl8ZLcy++HtMbvuwbgPTMAdqzm3/hg9QhszQzACKSzKK3Hl3lZPt+7nnK/0v4bEtD76/N8BIDYkJcmPp/KvEI+gN8Ve+ZXLrDJWfwB8OtZ3NJFCy2dnrSHzyKXsJp/4wNcj9KxOrreu/nFb4HJvxSBWmzE+xry+V2AtjgUCd59//bfmIcAwK7PV+UceS//jREAAPD9uq37dy33EeN9vamV70qs5n8LcD1Lx8rodpnFP/v4+cyl5venl3m8Yfnsn7LeevqV9t+4BPbbAK/xS4tpSwCp3Ow1RM7uVbyrsXINtGftLwi2LPzU/ivjH4mr10DnrqHqscp/a1x3a39u/z7/Lz5+dwegZZ1Zz7rDNQASbGtt46+C9V3FrbE+cjXx6quAx8XftwZ7f37f8WO3bz1/r/aP0//V9tfyj8Ejz39or7Gr1uAjkyrkQ/i9YPyVrgGQobsGIJ47Qss8loe2XW3agq2nFgQNSW7lt9sj9VF9mvNw7o/Q6B5y8m7+QfETVqRj5dS6N7/q+OHq9/sxAi8HiAWJVBuFPCJjVn5F+2vPn19tfxX/Pv9pxICO9Va50J/38v8S8v4c1fu9+urXPQMw0t4tRwC3GIHtGYBr/OP0f7X9tfxj8NzznxaDsgMAv/gcAEueRd5nw2swSR6ZlHKyJed4WvkWRvhzlX1r3BKnhmdG/Bb+1v4r4pfQUz9Wfo4Dn18g6GnKt+Re9PKPih/vb/l5p/bn9u/zf8TvwLufAzDqXQBcLyvtL+XrZgAkf2j5On6vP2viuY/9Uh/fn16PwNrlr+fXs8zE3BkAP/T19LT23+f/wPihXmMHOEfgjPwwlQnLvE7u5fcDm/scYx+mTwW1y7O4pPsyBDgkbp2Kk1vtzeafDa+/d4tnNFbHt5p/NVbHv5p/Nn7s/D8H5Z9P5RA330fJvXcBSPZFfiqgcpNLo3wE+DABBEKutz9nBsA7kqj1bT1wG5vWIwv/HgGMjV86HmfXv5VfzzID9fGp4+vV64Wtpp7U/vv8v1H8kUm18vGIaJNLU9r48ylX2tes53CpVL5lU5tvYYQ/K+33gOOk9s+I38I/A5J9yT9NWaq8Nj7L8Ww9X1Yfjz38I+OX7LVsrmr/0Xj7+e+FNNa+7v5/2wwAZyFPR9rHva4zj/dq9lF5jQeavG2EIvUm9b3NNr93FDBKn7On5eXsXeW/rN+26h09yPpefp8+J09r0OdZW+Ylf3j9Mf5hvnX6bfTy7/N/QvzZGjupk8lxGfZ++doIyYHX+Lv5S6Z8a5anOItrAOhIFPZ9HR7OCt5vZXu6/l0hxfGUOFe3j8R/1fE3uz177c+O/+7tf1c8/Pw/19izHVmmvUZfmIBiVHzmj2LtNf5ufnWksn7MrwEwQvSH7wHqRhB1uT0DsEcAM/TvOQK8Sn/PANyz/ff5PzP+Y4wdAT6J7rr77D5/KIqfdqLSThf/YESUdmHE2hBONbra/C9iRP1x9dZj44n8vf5p0Rvf6ON5xvngqf9erlH6T2t/jY9PPP9W8X/0vyPf75XuZ15SPO/zB2oG4JBP4v8J+GcAuN4d6uWx+jSP1X47Ar1/XLwb12B1vXv5Z/nPHZ/W83f28X3X+nsK/wtxjnzj8TffX+xE+Xj8jYU4l7T0FfzedwNY9HvmHUp7f5UBoRsj9XICSmu9IGySPs1jtd+OQO8fF+/GNaCWxmwKPn1vu886brjj03r+zj6+h9ffw9p/wwHtV7qkN8qOBvjqfP/dAC77f3hXlK4OUEbMvx+bfxd5QKU09ur3cevstz3X+8e9D3zjGlT1fvEvsrfdZ723Xkpn6ff6O0z/Ye2/MQMBtQrOz9NvX7xnfeKPpG+NK+mkf9+3AZZiSb25hnOYYEbs37LHiDpGMi/pP3oGYMQarGeN8xf4DzAKHv9M+oJRkderz9lrpM36V+hbMD3+m7d/y/aTz7/V/L1Q/Ly5IM0fic8hcOr7cV77S18Fql3zktbwvfqr1+Db/He9Cvhq/fnxt61aee36Xn6ffi1PZ+msuwDo47zX/9X1J6GXf5//E+OXUoBqbdy6Vq68BqBO46csu4ZfP6Gv3GR9Ka62fWwP9XiSNa6bgeVceW05Dr36uDawPt4/S3+VfDWuij+h9/jyQjo+rzr+Zx8vvfZnx++17wXHD2i/pDdavhoXnf9fcXrefUR5AGLq/LsbyPXwan9TH/Oht/Kl5wDg5wLEdP9BC0Z96/MFKnt1VcfvbEy5Xn7m8V5A+7CMy4tuCvqr1+Ap/vMzAHX9AAi+evVLS3T76aOz66+Iv+2VNW67vpffp1/L01kKkOZVqbzkj1bf7h/Nt06/DRv/Pv8vip+7DU+6kE7dAWjqY76Y3QbofdTw5Y8qLs/m9toMTkkHGzJKLuVb+pI/Gn9bmG3fA6reAHztZ2l/AFu7XQHJPwBffFjf4pPkb+/5ZLE3W97yqcdfSb9lD+Ae7T8LLz//s/FwNmZW/oB7OwAVXzZev7IDkM88eFCus0hvtTvlcKzKUKs7b7wGoNxXr19Jvnr17RH0rM+1LZ7pNfHznnvj0+l7a270ccudF9pjx6tvxbz6u7799/mfpxfEH78b4Dyzhh/RhvW0+hVfsYfXx6VrGPSFdwEINElndU92HXCt/VpNSPF55U/H6vhW86/G6vhX88/Gq8//K57FX6lAmpiAiJ8neCwQnNcp/G/v2rYkV0EoOWv+/5c9D9VWGaICoqKRPavGNshNQjfGJJX/8PkhQPW7AKpXNX7+/APA+yz5/ZcnHcBq/z1Fs+5OJuf3AOPspB96vrT8N1BDrqd8EX8GFv6XZAa4n8fYocd4fHsNk197/vXOnec81Pu9+dno5P9K8ff8X8V/u/cAFPlFy3QO/xX+nuZv2AL4yU9541nObXOo0XJ0ql/jp+zh2FvDaPm9oY1fj/hbYrR/Lf5zckWTTxJ5o+k1m1rspfil8iziPxOn578lfk8E3J8MKNOzK38BPxD3AHDva3jwEZVKec/LBpa6sf7nfNz312R7YHJ+a1j4X5J530cs0ak+zV+PBb2/quN/0qV+UvbU+3L7KH2t/CvE3/P/3h7k/+97AcK3V6d/Wigcp/mpewAC+hRwfQeXqVUBt3HWiHbW1hNvplvjdP9nY/R8eTxkOP38n+1/fT894RtExyv4yPXrR/4BdIDqPQBM/AMASPdW0h2huC9WpC9wJt5soMwZQK/rR/trYvk8fhyP2a3Wfg1/eQ/4uvFL97a5/PUcKOyvVvSK+K8nHZ+PqnsAKP6MfpH9pD18/iXi7/nfZH83fiP8rcSvuX2A9nsAfug9pYGQielUnyM/HvPW29XaiJH81rD239tj2wtWuALwd6JefyPT/od9MF2NdG8l3XXJtTm6JaxtsNaf2mDVWqK+Bzy+T703g/po+Uvzwe3r+W39t48/no/5ODn/IVQ+1Bgt/ff5vbgfbn1A/c506XccPKGvIqxPghXWQA6Hw+E4FfiO/Odd/EPoLd8FkAG1wqfoDlscvQL4g9UKULN6Bb8C0M1/u/jbw/PfDr878bPtcLoW2vohIBm4Lx3fwg9gvhflrbfZNmIkvzWs/ff27NYU4Xsnfra9RtP7OBF+bVpX59oc3VFCfpXWm3/dFcAc/3O2fPo//rYVHsVP2UfbT1Nl8udeAVjHf5v4U/D8n5X/Nni8ox+3UDjeid7rHoCSlFhfUFqs6rBoF7azZM/b6dY43f/VoJ0vn28ZTj//rfy3egog7sGbvAcg0a/APwC4TWj2qVuKbgVsCmXaYDp+f8LnyG/GnvS+/Naw9N/mOXDr5+CN3wOwkP9W7wHIHfP8P8P/719jsHgPwL0maMU9m+V7L6EgowRqvJY/N5aSSekq8WvlayGNl9QfrbzRGO0fxS+xkWO/lF8qbzS9ZlOLvRS/VN7o/JgNz/+v/gssrgAkO/QQbYkTAsmcjKKHPvcBpDv79F25P7oD4743hucO0/vzy629y+8h8dfO9f+5R4vPW2q8jr8VvTNp7j0AeoyaR4v4e/6n7WT/Q+ZTo3WhJ4/jh+/ItA8wlL7CewB2BZ65t80E5Z+Wvjus/bPWbw1r/631j4bn/wR8198W3wYIuYEJB2SvZiD8A4j7LJ8PANz6+BPp+IyQ7rFRaNuzE2DACX1/RzaeO0zvz38DNeTV3wceR2n8I/i1uH5aegLPUakdxc/GIP9/mB//pc7/4/N/Bi5jS/T6U/74V53bAvo518egxmv5c2MpmZSuEr9WvhbSeEn90cobjZo9AM/zBCrjW/glNnLsl/JL5Y2m12xqsZfir8kDGB//lc//E/PfFnhlT9HzHz4/zx6grgA8KPfqKz1ar8K2uwIwAL+5yV9FgcLc9eK/S8rHj++JnH8d/2V2t/Nr6ZQvcvkxSwHib8dcn7KHy7+e/1L9dcj41zn/T89/fGlceqsclz85fvsDjb+iL1wBJAUAg5/yq1oA/PjwX9Hc0TK9NJ47rgStHmAeL+nV8lvRrXG6/xGzzn+pHCl66bXyfzZOP/+t/f/+sSv8Aefe5c/mR8e/UosFBFWH8PjL+pmoFQ4h/p/ea0nfidn77uHR8sei9BTFbP5Sfxa/lf+tdkv5tXQOVSY/Zmm8bz3fp+zh8q/nv1R/HdrzzvN/qv/h70PR8bjS8QJ/COht/X99grsbvaJfDG0tGZAM3JeO1/LPQNRZap3fnl97nvQ6z7Tn54jzWzv/Lbpm84+M/w7n/6H8xEqYfQWgzh8A7m/r/+tDnRt60Sv69eCtEJ7j+P1SdXev8kbLr3uo4Xc4+Oh9RuH8LLWj+KXwjHJ0Rfj8F9DBEGnpJ+W5Hefyo+MAASBZmX95v33qbOfxl/UzcJf/78FH1BEXakts5f5FfObIL0PL7zAFlQhUCLX8QvQ+o3B+ltpR/FJ0z6jN4u/ojFp8Sr/Kub/iKX4O6jcB8mTU9Avl/2s9n9vv0n/e3Zl7HnW0/LpnGn6HKbQBmhzgUWfU747qfNubT2tnN2wWf8cI4Ofjpc/Lc/mfx+tPD9DLdBl/y3sAruRf/DKgBlw/i66kj+mF8d8yKoRsXypv6hWAhffAnB+NwTxcaPnZfITQVr1fpkxbnb8KXwus/B8Z/x3Of+cv8FLnm7L+i98LUKQP5u8F+i7Q9j16vgX95Y++axjLWe0uYK7/m94FXJTTCu35QuunqS3yxz0F0Mc+rK+Vf3Q+a887z38j/9Fa+dunZHyHFfgJPfFYcQ//o6H2ofgp/UL5uooian9cB0HHS+O4crl6ZuvfDZQfb/HTGqucf9p49tLr+bcGjsl/7nP0X3JKqfGj8bnn8MPv7vwr1+fYTvCr3gNwl1fgyr8JKg7P7Yanx0p0CVrk0/uVo98chuW03j/Qi78kj6u3JG+W/dr7L7Tx1J4vtH6a2iL/85v8+srHfcqeMn8f+7C+Vv7R+aw97zz/bfMfSf17eK5UAHzppHUDH8NjoKf+evbReyvSqwh4PNWXysvRWq90UPxa+VqMtm9n/znnlZZfYmON1jO/VoOV/zPiv/L5z6Fby9dCrN8LgLy4AIV9RED7L3FUjiM9VqJLrZLKT+n9Qe1Hlfateu8j8uOl80c6fjX/e+sfg1GScS5wc6OVrxVjZ/ZN55/nv0A/3AegewDC9ydA/YDGY340vvQcPvceghK0+vnyJVdl7sjVwzW6Fr31j7bXGtr5On1+3q7fGtb+W+sfjcPzf9C7+B/Deccz45hf1tOmXySfV9Glo3IcFF0La/2bVcCnrwAG6B+DcZLz8il90vFajJ3ZN51/nv8d/KfsGHy2I03px0j+lQzHe16RjmlYjd8DwLveIPFbIrOHfaPlW/hPQcuv0YHzCzJ0y/3VXljZ/5nnj+e/bf7HBS9uufT+aHkDoKX8tK7K1VgUfQ39lGW9LdfKm23P2/wfza+fT5raV37fKwCr+7/6+TOaXyrvbfn/E1RoufSi2GbjAvo0CimyMuXrSoNc7T4T1vp3AzVfPp/vgjaefj68C6fmf/pQ/b3Po1cFd7dWgE7605VzrsU/S/uU/NH670ePrICZ8t7mv18B8CsAK58/o/ml8t6W/1EM/H2VXgjxh9uqmKDj9/CFwr/S+D7mj9H/DwDg+tR+6XvAb/2/YzfEvZL4Y4F++5nSk+l30X8/WiuZKLoUX3lfO//A7HexJ8qOMkO4751RdAWs/R/NT9JLc4nP25L/kb9RPzcvWsev7v8y54/nv53/WsS/pN/7A/DxEr2T5eP1n3MFwOFYC6PP09/zO58P7uPPc/xo+8bKdziSBXFAfQ69+AcX4oWD+ji99QP1xysAUGvxz9I+JX+0fofDDGQaEgM6rMF+K6k0s0qf3HgFjP13OB6nsrT/YvwDACh993ft/frcfk6GpO2h3+EwA3H6jT8/7+9T/5hUetd6jq6Euf8OxyhcxmevXj91D0CIWwmFFTa1Bx8AgmTPP9PX6885PhmNe2Bddbe2PW1o7e+Oxj3wHqBW+IOvAHxg6P8S8Pw/O//XRm0PPrcfL+nnZEjaHvrvR2feBbsaTve/N/TzpeeWSZA+BdBbv05ff/1n4dj8p/bHa/She/AMDNVP3gOAj0HaD79OYQWelSFpe+i/H60Vll1XPevh72wpvz+aoJ+G5PzKgzhfSH7ibBugnwrtjf5C/4/Gqflf+PY/dv9klFbjuRU3Z+Vuq//YCvgPp/vfG/utgP0KwMk4NP917wEIf8/VB9zHbWG82vqR+v9FJsjvwQRI9uAzK/MvX5kecnIF/Z76RVcAkjnIMknoAGK/vzw99F8/cSf7L6IzwL5iVPTv4s2PVv+NQ0Nv1L+M/xkdM84vgLp/nv9j/W8Bvgbw/fMSCi2il+Sspr9e9b3rCoDWkvQjpa+mv/f43fxfA7Mt7XsFQI+9IvWm8/+o/G95D0D4Uss21YkkfxVT9POLEywGc1J0LXrrH+3P6vzuv06+Ftb6rWHtv5//OrpW/2T+eEUYtd/RGTrjmwGr7+Kv89Pf1jdWfzKuWrGlFMkKPMffAmv9Tw1bVsAN8kbrl8Ja/xistuJezZ51YH3+ef530F9aFePjoTKWbXCVP6CPlF+r/w+cdXJtjJSu7fe2r4bIW5Khpbt+W/01uvQ8LMmu8Vvrt+a39t/y/OLA9ffXT66Gr+fP2j38gVcAFPrZUsLz532vAFDV6V6rRzlO97839POl55ZJ6HsFYD//z8bx+U/5FjI/1+arTqzxB/SR8qv0//h0O299pOyrfzdQ8+XzeYd2Ppx/b/63wfP/sxouP/fPuwLwHf+3B59fxY9bwav1V+8dQEMLJUZuBS7h56Kvfl4FjK8k5K4s1LAu/+n+8/j52G8F7FcAeFJr7b78h+c/fJ/zh9u6+K+fPFMPmefqE/l45OfzE1fnJ+2fqP9f9mhqS6GAub70z4+FggLzBzSU0e+p/yqPzNCvfBt1ltoS3yL85PeBv9x/FqjzMpGY37/j8dfO2zH6L2L+cF711p+T0M6v11+zadHz1/N/fP7f2Ph/ul/F/0H/KwCxCi19RuunsWwF6/xT+Gditk19rwDosXJMdj1/nb/Yfn4Kf58vw7fP0/AdH2LD5ewDlf7kygHkqgNhmfQ6UBNJzY/z783vOBvW55/zD+Un2IX79YK99FRD7TNaP4Tr948z3K8ArFTBOv9gfu0KWUrnnsdvpa/mfzpmx/PX+VX849fxgfhMBq4BAjr29n4LooxS6/xr83OgPW9W5ufM38r2z+DnyN71/D+d3xZdrwD0ty7gOunZ+xzJV+58/jX133k2rGCdX8kvW0FS5xstX7cC1uvX0d/nfzpmx/PX+fX8fEju7f+y1D+j9QO6B+BhHDyOlulUn+LX0nvrdzhSaM8X59+b3/FOlN8DIOSvPoc/Dir91XsArFfg1vodp+P0FfDp/jsOAF5to/7juXvcD6zn8It92rx5+tF7AL7PiP5478/Rf+nXl572+fyA+I30w31sdW+pd+v6bfVn7cHnFbINGX5ljzD5AwBcl53+LA7yf4nzLWOj6x/fcvB9kx5z/K78sYrGnx81N+5Zucv4aTtm6z8NPh85zF1B0/3R+q3pq/l/Dg7P/4B+fs5AyIxE46vP4Zf5ZRYO0N/ruwB2Bp4WPBMUXSvfmt/9r6P3fEl/DYzWb02nMFv/6ef/af4zJFz3NjukSqzxd/k2wFb9N762KwAZfZvznwafjxxOXwGf7v858PxPEdA/QCvoDF3HH1ftf5/p+v/w77ePdgF898ivn9xvAVGiA0Ffmv8+h+fsgV0o7gf6n7eHWih0pAeA4h74DP3WdGv/lzjfEnj+2+p3QKYafPZq1eLu/I7TIVtBUucbLV+3Atbr19Hf57/D8YeA2uyQKrHGH9Bntv4/3CuhkD1aplN9il9L763f4UihPV+cf29+x8kYew/AmvqtV+DW/I7TcfoK+HT/HY4/kCto4vl+1gp8Nf34+bq39x0Oh8NxLvAfSnYbX8OjlWOpH70I6HGx7Ar3Qw/65vwOxw2BOEV606n+aP3W9NX8dzi4+JxJl9mKsod+XAAUlLRjd37HWaDOl950qj9avzV9Nf8djpPwHzVAe8V8d37HWZi7h67dA9+fvpr/Dgcfl3FBqdePrwAEuBfJAe43EWboVH9pfofjhtNXwKf773CcBHQFIMB13e4avPDfU0y/rjp9cX6H44bT74I/3X+Hgw/Jd/ytqf9+BSB8lsi378+r0QMaJOXHmK0f8zvOQib++Hyp0uHKHuHzE/0J+jGO8t/z/2x4MYgKgCvAhe6TvfUw/ZG9Qn6M2fo98c9GJv6h/NfmSQfqfKP4if4E/VX62/33/D8byvh/FpJ2VUQP/XgKGvbYt+5Dhjardf1r6Z+N1eyZjdX8tz7/XP9a+U++SS9cn3+t/Ivoj/to+POj5sdRcnbjPw0+Hzmcfhf86f6fA89/AgG12SFVIslvr3+FyntN4GmTztTq/Fq6Vv9q/KPnS/prYLR+azqF2fZh7Hb+Svk9/0kJ9Apa8S7+cN0/s/Un45quADwr97kreK1+6crjfTh7BVCK/+kr4FP89/z3/L/10T9AK+gMXccf4PaZrv8P/z6l0fcTAsCVlEvhV0CU6J/O50g7v5H+L66frFktxmT9t7gb6Lf1Hxtw3VtsIzrPyhDwRztuYyfqt+Y39T8T/6POf8//O6jz6hA8q8Fn73MkX0Hz+a31+wrgbPS5AkCdb3y9bfx6/Tr6vv57/p8NRvwDanNS6sQaf0AfKb9K/4/vQsdzR8t0qk/xa+la/dR4x7uhPR+18p3flt/z/2zU41/eQ//u2//twef38cc9BaDWX7x3wK8ApD+XWgrOvz6/XwHoQd/Xf8//s/mr8Yf71+ziffMQwufzHfn5cPlJ+yfqx3VAQMfe3m9BlFFqnX9tfg60583K/Jz5W9n+Gfwc2bue/6fz0wrQ8/WPPsAVAK54PPa5/KvrvxtTKFy4lfvzeKzaS5/R+mn+HSpY59fxl+I/dwXNP4/fSrfy3/P/bH7peXcf/PeJ6+pvfxJU+u/PAlwPvtP3w6iJpObH+ffmd5wN6/PP+W35RWhYV+Pn/+n3AfTV/70ewOT1KwBrVrDOr+NXrQA6YrZe7Qq6N1aZd8//s/jN8j8Qn8ng1FO1MVK6tt/bvhZEmaXW+dfm50B6Hu7Ez5m/le2fwc+Rvev5fzq/LbpeAZiAUStwa/1nrgDyV1nunL+3JK5nfz/+PisAaj55EnTcMgl9rwDs539Jr+d/HOn5z4fk3v4vS/0zWj++B0DMf5f1gVXhotVvbf9sUP76fMjoWvnOb8vv57uM/ja0+st7Dn8cVPoV9wCklVSuguJUWlL01N/C/y7wVgDz7JmL/vHfbwV88hUAz3/P/9hW4w/ouXvcD6zn8It90s6J+v+RtiSlxZW015f++fFC9Bx/Op7f76c/ww+QOYZkl66UaOkUBujPeZ7iRn+d/4L4U+dlRVJ2fI4/ADzfhS/gb9JPBQLnVW/9+NhM/z3/Pf9jy4l/ch60YBf+etXnVwDwiNJ8UXQteuvvPX59/1dcAc5eb/W9AqCHxVx7/o8Yv77/wvjHEU9ZIR6tPodf5udhoBu6UAYAACxcSURBVP7SdwFwzInI1ew1uhaz9Wvlrc4/ej535x+N1e0bjdX9tz7/PP9t+YHzLv/qPnqdn777f6D+Gx/vCgCukKgKqtdqqqd+yiZfAczUL0XfFUALfQRWW3GvZs8IXZ7/I8av778w/nFUqy91/oA+Un6t/j9cyaDcnhs+nlMioWv7Wv0SUHMgoQPI/Y48PfRb78EB7Od/T1D+QYZubXNP7Oj/6ef/8f7TK3AFf5crAAr9bClJVXT2FYA3gKrOR1Xva6B//PXzpeeWSeh7BWAv/z3/Pf/TlqDHUbX5qhNr/AF9pPxa/X/QVdm52m4muPrxuNKUYLr1GqQ3KL9O8Zsbf3xcq9f5bfgjPP8/8PzPA9GH3gNAY+w9CLeRodyWqiZuPydD0vbQ74g4ewXQH3utgDn63nwFwOH534BQeq4e/0N01gq8pneG/n8AANdnUPqcbOyHWEDgKiJWF/HHMj3k5Ar6ev05xyfja2djv4fuv/YK4b43RtF72tDaXxQXMM0s+ofP48J4rf4bh4beqH8Z/43g+b9//uPn6h8toke0+oH5xun3KwAOhw3Gn58xiz6f3/vg858nfbx1DsfCKP7B/ay1a/T19a9WZTkc74L218DuGXq6/47dgffSkzZc4arR19f/DwAg/GVZqcU/S/uU/NH6HQ4zEKfh6PP0cy01fD+A+viD6eq/wMb+OxzjcBmfvXr9kb91D0b6G6L33s+Ke0U5LLQHKG572tDa3xWlueT2d5+H0/2P8PzfN/+pFbbhFYBO+qm9ePyztK+5B6CHfjto91F778POvgt4Nf97Qz+fNLWvfOlTALPt6y3fFqud/57/LUaU29PvAYgqrGo1Sj+egqtwnKKvUotqwZ2vt/kbcVr8tfHc/Xw4Pf4Ynv/54wR95B48A9b3IPxJS2qxXF1G0S30c64sYBmS8TKrLfil8t61Ahgf//VXwCdfAfD8l8rz/M+2cH+uPvZxi+mtdj/NGqe/dg9ApGMaoHGn3gMQdXNskPotkVkaK7FvtHwL/1dAyUacX5Chr+4bB2/2f/Xz3/O/G8KVvnPv03v+w/S+2ofpL1VZ6Tr693RwieP9VwDu81G2sPSRQipPqq/3+PX8t18B0hgpOyef0icdr8WMufX858jXjl/P//H5X30X/wTo9fOrFKwJc1J0Laz17wbtfPl8jsXp83u6/6Ph+T8BinU+/W2AOv18+W0VVW6lQNElaJFPVXA6/v0qYJl87fj1/O8b/zEYJbvVl9lzMGNuPf858rXj1/N/6fwP6GMkv1YaBPB7ADi6rWyg9GvtGy1fC2v9HHByp2d+rYY3+299/nn+r5//ZXS5AjBMPq6RPn1JBZWjSy2QyqcquHkVoLYK7sVfksfVW5I3y37dKmJ8/LnzSdvYV358p3+k4j5lT5m/j31YXyt/ne75X5LH1VuSN8v+5fO/sLjGxzPjAvpI+avH+fJ1pUdJCj4u1cblp+SOpu8G97cvnat31PkvlSPF2/33fJDRd8Oo+H9X1X978I9VNt6bl94rQPCT+vnyC1zxXeClPsDod/Nby9eh9K712fwleVy9JXmz7G/l52mo9flSOPPJt6OP/M9vrusrH/cpe8r8fezD+lr5288Lz3+O3pK8Wfavmf8B4AoAvwfw/vodzZumX2t0EMrA46l+b/09EHWWWudfm38mtDaN8Gnm/K3ovxbW56/zG+f/mwqAdiNCa7+0v3PfmWmX38d+x7uxSvxH6W3dz+63D87DKvPu+X8WVPEPfx8Isfnrx2PxX65PCyf5q/qF8gMGV47D4XA4HMci90ed+AMeiI+ogGDcXEjI/4evGwTiZoK4V9K+R1/+LvILjWqTz8PYPUDH6lgl/r314vwstaP4W+2djVXi77BBn/hfD676zX/0nXoy/qd+GlfyD+Dfk0yx39rvvkuhj/n+6NffkSuEbJ/ip/VRKMjnwHoPy/k77AEq4i8BaROhV7yvedFtdf4Y/BJM958Lz/9j+QEyAzudZNQFdKoC0PLr8Xv6N/8caGlPcPYe/dr3AFg/B9vrOV4tv+1zwJSGWp8vhfNcNd8OrfyYpaPeA/DUtpb/XHj+z+B/ff7jv9gBoHoJ/3Ow/KH56/prsv+47/LxdZAPSmUGppfGc8eV0KqHktObPluf1J7ZWM1/q/medf5L5Ujxdv93O988/+v0WfrKz+GH6/ZdffA35tsnrwCw+FXvAbjLf3DF535Lz4Hq7wFgmtkgn7t/mXuqVMpfs/lTWT3vb4DB/HlvSh7357f2f378qXmh542myuTHLAWI10VzfcoeLv9a/nv+57wpedyf39r/efEvPobH+AOvp1f0i3HP5vreCm4B/ZzrPxwgxmv4c/bleHvRqfGjIY2X1r/d/KfG96bXbOTYL+WXynP/Pf89/zvR31IAAKB9ls9eX/kT6dZ79Lk+vj+h1mr5azb/dkvv+1ej+WXov79m7b91/FvQd2dTb/tM33vLs46/9fkvg+c/5hXF/2NRbP76EEfAXXz4Eerg8Zf1M9HruwAc6wKfEDjSWrpDh9Pn93T/R8PzfwKSx/Q++/CfAwGe7/KHlF788Pmx/qdp90/B7n8AeJ8lv//ypK+Hfnt4Pfjx3I3nv4Eacj3li/gzsPbfOv4iXHedvZDb26z1e/OzMcB/6/hbn/83eP5PiH/pOXx8/IJLtELn8re8B+DOl/IHkO/5hIKMEqjxGv6cfTneXnRq/GhI46X1bzf/qfG96TUbOfZL+aXy3H/Pf8//MfS4Mv+1FD278hfwl+clckD5CkCNj6hUeu8B9kTfPTw9P6DdptH81rD2f378qf1Ten+Vpsrk5/Y2+fqk/Gv57/lvC2v/DfIfQvpDSFok+kH/tFA4TvPf9WecQZ8Cru/gMrUq4DZuNqJdtfXDSPrq9szGav6/fb4paO1/u/+7nW+rx2M1/4fr+z6H/3toH27937AhdM6lgDo+8r51wH1HKNfm6NaQ7t30buuWaWaJx+/+W/kPhH20/TRVJh+PpvqUPfW+3D5Kn4z/Q4du8fTzv6XV2q/lN/P/9xgewN/2wAWf3wuQlA2j6OnrglqhYob4O7Dcl47X8lsg2uCtTWuNmn0Rrf5x+K3h/q+RB6e2hnhJAZBWNmnNlWtzdFt8puMya+2x7gpgBqzjH1QfvQw8G5eo/5xNKb+1/9bxt4fnv1n837EFoEKghwzFCuegw+FwOI7D3x/g+HcYt2hYb7rfA/CtP6xWACtUICevAOzjr1vBavlPvwKQxsCi9fy3hXn+/17Gm2vTl/UOoWvnr3cEAyET06m+VL4Fok3e2rTWqNkX0eofh98a7v8aeXBqa4y9C4CPC+HXpk9e5toc3RKUvaNb3XPMFHj8lv73sF/Dv3v8ez4Hn5NH9Sl76n25fZS+Fv6d41+H5/8m8Y824hYKxzvRK+8BYOLKqrtTy3Q8bjVEu0v2aemz9UntmY3V/Pf5rtOt5Y/G28630+d7tXh8x73oJkDJHqH1XhDnnoVam5MnbWv64UaV65fyW2O2/6vFPy+xHi2aWhvxpM+9B0BuH6VPwr9a/D3/T81/APjblrgA0v7fuLF0De7ZrN97qdFydKpf45fa15vOmY+Z0MavR/xnYof4c2iafJLIG02v2dRir5R/xfjPhOe/Xfwh/jyxAIgDtBcB4k7G5xPCvV+mw2NPZDZSy3L2SPeuWveA8nQ8d1L9cn4ZnvJ7SPy14/1fLf4t6J07WB7V780vRY8d4lXi7/mftkflf9yMj//fN+eH0MOf2qAK3gqVXBuw17M9sdZPgbJPS7eGtX1a/db2W2P3+bPWT8Hzf6r+a/q3AQb4PRGQs++6fwr4B5DupHy84j23C1DbU5HuPYr5r7vl6Rju3g2WL5JD6sdzV5+vHvx4fur0p3wRfwZT/V8w/iLE63edf3O17n/24mdD6/+C8ff89/yfhytccMEFuvsAU94A+j2gGi1Hp/ol/lh/pT+n/ZwMyn4JHeuLP89Cbt5Se1riJ4k/gCxuvbFL/Dm5osknibzR9JpNLfbW+HeJ/yh4/v9sWCT+F9xW9g9uRM9/+Py/UfkCgHkF4EG5V1/p0XsVBsnPuQooV2FJwOE3rQCr+vNXUaAyXz34896UPO7PP9v/1eKf96g+bzS1NuJJj1kKEH875fqUPVx+uX15fW38q8Xf8//w/P/+gcbL8nAFQH/AqwUAgx80WwC/PQY8C7mjZXppPHdcCVr+kpze9Nn6LNYaEqzmv9V8zzr/R58vrfI9/9ewZzZW83/+fBfe0f/tU5frBfxEAUCoyRcAEKubcgXIrSNzFZbIRCa/VK5UvlTO72juI5Hag7/Un8U/3v81459S6RHt/E96zFKA918BoPn5fJ7/I/iPy3/mH/gu9PoWABMtvJK9oRIvt0/p5vL1hka/dG/O9ffV3wNc/Vq7RvjVY/6lunrz7xL/Gu+p+WetvwdK+mcWAGMgfU6YO+7Xx8935p9H5T5/3PoQZK/nm3s/F+2QYff4j3quXvoMdC9+Kazmb5X4O3RYLP4BICT/PoeSPqVFyN/yXQB3+f8eAogSg1uB4HHX7afah+B/GBwKA1vtI9BJv6MRL4t/79PlYraj+KUQy3tZ/B1CrB5/kv+qf7QQyv8nVcnbQ3yO+/VL+zv3fZ4SP7V3E5iT2LoH1Eu/ow1vi3/r3iNXbqntzae1s3X87vF3yLB8/K97D/Vp+SL+qyErr+QfwD85e30Pp7RS+Ov/jf2u+EPI9ssV2l1Osc/xo9on+DT6NXtgpbEaGTvp3y3+pE+E3ua9TZyHSSvK31I+M9Hd/83in8PO+Wetf/f4U2ouokRoTMMyCgVA+S7QQPyOIFbq1Lx/+3n+EAfhcUkceLPUVgFy9VevbjB+xxb5S7+P0fFS/Cg7Qsjfdduqv7f/u8T/5kd1TVLXS/GX7o7+2YHyhpm/ZX6efq79Uv93ib/n/8n5/wNeodM68Pg6f8vXAX9eJhBfKSBmv8sq2YWOl8Zx5Ur5S3J603eD+9uXztU76vwfHc9W+Z7/a8L97UsvsSV/YPEfXAk3zT+sAKheAbgdBcaxXJ80M8t/r/CeteqTXmpz8mvjS/Lz+qsVMNP7HvwleVy9JXmz7C+uAB6j4hFML7Vj45+TWvaUngcpvXoFoKJvyBWAjv7vEn/Pf8//PVDPvvg7IN9S42syuf2abZDoiz/PgpV+yR6caG+NqavHHmAP7BJ/Ti5w86VH/mnQor+n//g4wPrxH6HX8//c+N9suO5tE67aKiJXveG6kHMs16fw5IekAozrktS6kKXnbGqrAPPyy/pbq19sUSv/7vJrK4Ad4s/3cgTo1UxfPq2dvJE7xd/z/+D8L73Kl+s7gz/AkFcBb4OA+tPrL2P9FCj7tHRrWNun1W9tvzV2nz9r/RQ8/031k3/AmV/WU+SnCgD+lwGVKrR8BZeOzK0ORq0Ueq8AShrKra8A5sofuwIoaSy3cv1cL0cit9LpOV4L2UztFH/Pf8//mnu1P9AsdP064NyeTqSveA8AV99ISPRL/abmmKNn5B4gR3/teI/zYIf41/ZMIaFBho5zjhpfo2vRqr+X/yWbVo8/Htvap47n6J7/Y6HTLysA8IiUKyfh+bXDBYgNT2ubXEU1dsUQK6yfrnt9+aTX2qd0arxMPyCqHL2rc0rebH1S/vfFn6bq4jX2CkB/++r874t/HZ7/e8e/5pq2ALhtAQwuAHCNjvc/sLQRa5AWlPZpuPbj41YozT+3X5JD6emtfzbeHn+M3vZr52+VeYt4W/w9/+t4S/xbCgCm4AtAVilJVxAc+Xz9zworoB6m94VUv68ARq4A4gio0Puif/z9CoBE/vviT+nz/N85/v0UZ/7A17cAmILTmgd7MmIee+z97AiLPUB8rLXV6s8dP+U8KM0lt6/l7wUr+992HrT2qeM1uuf//qD+wJ9yBYBeofSsX3Ow1n86rOe/t/7x9gLk76LOfzB99O9h7XztHn+HDNbzb6S/8Af++zif+gqAw+EYgdJ+4yxoM3x3+x2O/TGsAPgH4FcAJLDWfzqs51+snzBn/PlSX+FTVwCuweb5FQCHBNbzb63/DvxtgS0SPvB7AMai1x6odA8uvR+3ZQ8QMvKk+jl+vP080PpvPX+7228Nz/+z46+F3wMQJX2Nzup70vvCWr8Ws+8C7g3r+e+vvz7b2ng96bL87a+/ro/C++I/F57/e+mnLvGz6UXwbMW1YGlfENNXOZPeaj+3X5JD6emt3wpvjT/GKPut9WvxVvs9/3nYNv6rFACp5IQlt1IfWz/eK6x09zJHf3KXr2xw6Fr99njXCuAN8a9HA6B+J349Xjl+yRWAEfpr+mi8L/5z4fmftlK6YfzHbgFAzNVEADz9KO3ncOkcPZK9H46+kZDot9wD1MxNL/0j9gB3jz8k/MCga8a3zE/qn1Y/Z/xp8ff8b9dTkz0LM/WPfBGQrOqzuwIQQPttTLoKUK9/LaTW72MvwLviT63HqDEc2ZL8pPJbq7+mj5b2vvjbwfNfRreIf+0SfwD6VcCaLQC8TyL1SMtvLX91/Vq4/bb6re23xu7zZ61fC7ffVj/ry3qmFABnXgHAI9Jj61SAI3H2CmCV+NdWIzV7OXJz/NwrAKP0l/RxJQK8K/528Px/Sp8Y/9FfB0xJ/EOx9EA0vGeXnyF6T6/XPQDUHuJozNIv3VObtQc4S3/NLoC940/tIWJ67/FS+0bbK7UNYO/4c/V4/uftAtg5/rICoCQhbZtQ4MU10r3OSY9C9liZX4dYYd2lhuRISn9yaypAvX4+tPNX4qfklMb10q/F++JfvwIAyf/lVUmZ8uSXXQHor7+kj4f3xb9sqed/Ti7AS+Iv2wLI2/LbAhDy/47rYmJRe/XE7vZLQfnr87EXrO231q/F7vZL4fl/x/L+mhUAvCsAJc5ZFeBPX5let7PcH62f0uMrgLxcgHfFP6f3F4H7Cvo5tn40x8/J35H6Of7XrAN4V/xLejz/83IBTog/CyO3AKC2l8PZ62vdI+LuGc3aaxqhX7JXOmIPbif9Jewcf2v0mH9rWM+/57/n/675TyGE2icEirvOT39o6yT9Vjmj9dc1tM/P/vy0dEm/Vc5o/bXxeLaks1fjp/N3rP7cWAneFv+8hp3z1/O/HwLUxbXQQ/IP4HoMWL2OoSZ4tP3W+k+H9fxb6z8d1vNvrf90WM+/Vj+++a96MyD1HH8LPVy/f3mmwRVg3wqxteLqVbn1rfiixJ0r+LErgJy2HnxW8S+timetwK35R8xfC5/n/yr8MmwX/0B8JmP2PQASPTW7Snxcfi1dox+Anj/Kntb5zdm6kn4oyCnxUsc59rTQR+mfAUn8Z8N6/j3/bfVDQU6JlzrOsaeFrtAvuQIwHaVqjVvFafnbLO7Bt8YKwHr+rfnl2D3+9SsA6f+5sfWjNH/Zpln6/QoAlrZz/nr+85gqHzSwLr7DPQBcmwvyPzAvXBqxu/0OHXaPv7X91vq12N1+hw7Lx3/6PQCyCi7+dD8yrwLUSOxRAY71aMcK3uOvsSPNp9oK+plvrfx5W2bq187d7vEvS9wxfz3/Nfity+fRW+4B4IDLL9UT6dGL3M+z9oBG6OeOb51fKWbrt57/mfpTWbW5a43h6vw5+knx58DzP09/Zfyr9+Y/6Y8XAQn5v4dD/vNgf9DvFb2cX4u3VYBzMaYqn4k3xL9+BaDcr8naid+vAFjB87/WH62fqaG2ng9/K/qK+hJ/uFUtJd47pHWklt9a/ur6tXD7bfVb22+N3efPWr8Wbr+t/nW+DCi+tRsAvwUcqXvQ79+uJOfXgvt+81Gw1q8D9/3g68La+h768RvTJW1J1k782rnbPf528Pw31b/21wFPQ7qnkmtr46DwM5dfS++pvwRtpbQLv/X8W+jHPNScSLE6f20uToi/5/9z3EHxX6MA+EkL8f/7/n6Njvf4pPw9bLbcwRp3X+updBneEP/SPQCf9iP9eRxb0Mqft2Wmfqt7AHrA8783XYbt4x/iB+/Vxz5uU3p6D0AL/we64qGPFDvsbr9Dh93jb22/tX4tdrffocMy8cd79bGP25Qe4HcPQAt/2v1WMun/zxX+KLoGVtXfGP3WFbg1XY7d41/nt57v8frHzt94eP73pMvxhviHwj+CHgeERn4AAPgHAAEgXBfE/Ykr6YdrMB0gv3cS258PBfpF0Cl+Lb2T/j9c+DAa96C/hd96/s301xcf4vkW0imM199p/raN/3M2tsxfLb/1/Fvrb0Hkf36jrxTlFfucvtZ2S1jrPx3W87/7CtYau8+ftf7TYT3/ffS37uFr6Z8rAN+67FtSTO5r0EOGqf7Tf4EoJ3D3+Fvbb43d58/zX4nD838J+BWAffWfDuv5t9Z/Oqzn31r/6bCef2v9WuT2JWa3QNBOoJeg3Svahd96/q3pp8N6/q3pJeySv1p+6/m3ptuCukt/NF1ruyX8LuCedDneFf+cdMv5ttZP413xt84/a7oc74i/3T0AuiqkjxQ77G6/Q4fd429tv7V+LXa336HDMvFvfY5fS08Phfj/7yeKjlf4Gv4W9LySYKH/6b91BT6X7vGn2t8Vsxydms/V3wTo8b+3q+XnaLrH/68t/PuOG0g3r33+EEC+hwKFn2ft4fTUXwJ33O781vNvrT8H6bmyM7/1/FvrL2GX/NXyW8+/sf5w5f7Vqd+vIAqQp1P815/RVt8GGGetvRLZ+tugkjn/tLNh/W1gev/fFv8dv82vnd/jD+D57/EPAABmrwIuWx5QX+qjlt9a/ur6tXD799Z/Oqzn31q/Fm7/UvoNCwBcCZZqmicdV/QyftsKEPO0yvAVQLt+AI9/6QpAKjfXL9mzD7/HH8Dz3+Pf7H+XrwMu8Zb2MLho5afGcfdgtPKt9HPHc+d31B7eKP3W82+tv6Sr9TfMbvzW82+tnzve8/+Dt8e/hhEFQKkqzB9/rgi0/DLsXQHq569u0fr8Hv+r2H4+kPyfW4GX55PHX7Znhn6Pv+f/3X8Z3hf/x4jn43oJ928LoDimwM+5B4CDtPbZEbvb79Bh9/hb22+tX4vd7XfosHz8pxcAcypAQJWPphLUVl+95Uh4ni1MmX9rfo9/3X9qBX2XVD5K85ftG6mfaiV4V/w9/6V4VfzR43sPvjv9sQUg5AeAtnsA8N5ebq9vxj0AOfkz94BG6OeO1+zBceI3Un8N1vNvrX8GJPGfDev5t9bPHe/5/8r4y/+A96THYaH+oUDz93wjmPYtTL3lSHjy7fj5t+b3+NNtOtvSN46tzu/xr7Xr56+W3+Nfb5ORUBffQr+/C/B6DLBeA1CgJny0/db6T4f1/FvrPx3W82+t/3RYz/9U/dR6vYV+fxdghh3v4+T3b4oqAe9jPfeFNHuA1N6NZJ9zBJ/Eh3xbn3+e9LX5Pf51//FsS2af4qdk5Mb21M/xn5It6bfKGanf89/jX2tnoqQR/6VP+/HnUkvx98Bo+avoL+mRHs/JrMVvpP4eOCX+IyCJ/6qwnn/r89zz/4z4D0fBaFztPau3Eu5VbF5eewUUHkaHRxx4kWirAPvop/2vzx/HzjF38Wr1/3q1tiYX4P3x/0UAkv9zEagfzfFz8nekfo7/NesA3h9/z/+yXIAT4v8dabEFIEDcD9my9oH97ZeC8tfnYy9Y22+tX4vd7ZfC8/+O5f01KwB4VwBylQvnCkCNv457hfWsVesVGF5hYRptj05/zZ4n5b0rgPRo2nLkApwQ/yj7voLOS6hRnvycKwAj9Zd08XBK/D3/S3IBToj/PNQ8fV7bqO8VpvtAWPaIewBSe7C+0Zil33oPzlp/zS6Ad8dfulffe2/fWj9lG8C74x/1eP7n7QJ4f/yrNlz3tgmXtLrjXQHgSfoYwK2aQjI2/M08vrf0Ti/Z3lYB6vVjeXHsp50N7qpgnH4Aj3/Jf2yPNEIlftkVgP760xEAHn/Pf4//p82OMfwugID60jNEy28tf3X9Wrj9e+s/Hdbzb61fC7d/A/1TCoAzrwCUNJTpvgLorR/A41/zn7tqL2uQ5yeV31r9KRXA4+/57/H/tGJ0/Tpgzt6NdA9wNGbrs9Av3VObtQc4S38Nb49/Kj8i7eN5xvS032KftX6JfW+Mf6qj1NeOX11/DSfE/6vrevbTAiBHZ0FseL8rAC0rjHu19Kxf69WUrgLU65fr6w2q2p+7GvD4U/bEFULNo7q1mF92BaC//pwuj7/nP5cD4KT4fy/VZ/7A37YACgUA/dU/PFtxzY/3P7C03BrBEm+1n9svyaH09NZvhbfGH2OU/db6tXir/Z7/PGwb/0kFAK5EapWJZAXRH88KK6Aepr9LvxZrrQDksJ7/2fq18XrSZfnbX78Op8W/Nzz/N9U/fAtg5t6Ng48ee3AA970qSQsZeVL9fh7pQc3r6Hm31n8qPP8dAPQf+OYC4DM61NvcWErW/YjmU5ff63uduZDr7+v/fvD428b/Li+Eur4nva9+j7/nv8ef/YlVGJb6PcykF+HVmcOxMrS/0LQZbq3f4TgY5XsAPg2TXsQ/ABh8D0B6r2TLpy6f6veGXH9f//eDx1/lv9KdEOAmDwCq+jC9RwXh8ff89/iPiP+lpPs9ALuBikuOHo+1tlr9Dj2o/Bydv9b6HR94/p+JYfcAXACjrwD0RFyhlPQ96e/SrwVVVa6+6rCef2v9T3uoeElXSLLxs88X6/m31q+F5/+m+hu3AGjwxsV9wAv1S9LweCtgO6X24+NWKM0/t1+SQ+nprX823h5/jN72a+dvlXmLeFv8Pf/reEv8zQuAVHLCkrtSIKkfa1caShwAaZzwTsmTXmspe57jZfppb6T+a7HWCsDjr43/3lcAPP6e/2nL4QA4Mv5jtwDgY3nKk9ZwnL0hYNB7Y7a+FfRL9uC09uX4V9oDPCn+OB/jz1z67vpLNp0Sf6yTQ/f8f4/+kS8CKlV9+bsR+10BiNUSt2oKydjwN/OpdXl6zs62ClCuv6//vZGP70z9AB7/0fEfewVAA4+/zP/e8PzPaSi3pvFvfBUwjXFx1+6jUPzW+zSj7bOev93tH43V588aHv86XStfy/92+0dj8vyJC4B4XSB3feAu98wrALmVzsIV4ACcvQJ4e/ylqx8tX4uFAB5/z3+PP8//O3PyZz2/BcAvAKoWXpWWGj8SFnuOK+gvzXFtv27EHiBH/0icGH/r/LPWj3UBnBX/qNfz/9z432y47u2T2l4A4BrpXuekR6FwjAP56uJeLT3r1ye91MorQLl+2ptxq6t8/KhqvzRuzCrB46+NfykuPzti1t77lE1lfp5+vvVpy+FI7fD41yR7/r87/rctgAy5VgD8XhGsi6lV7cMFZZ+Wvhvc3750a4y2//T5Wd0/KdzfvnRTEAVAnZcqAHhXAEqcpHqy0ipzYqMD6mE6105eFdZHf7v/XKy9AvD494r/nlcAPP6e/7W2xgng8Y9irnvbhMZrD9/fCrl2Bkp7ULNgpb/HHpwmfivtAZ4Y/x5YIX+1sJ5/z3/P/13zXwfq+5Y538ccx5RaifzW74MexTfa/zfA419ve6BVx8q25cZ4/PeDx7/e8hFAfsqE5B/A9RCweh1DeTzafmv9p8N6/q31nw7r+bfWfzqs599a/w2/vfzkUP0D4fr9y4nssMInze5YAbfa01oB9tDvK4B62yJLy/eW+FOytVcAPP/1fJ7/9bZFlpbvNfEPxAfB7wE4T3+P+O3s/xv0a7BC/mphPf876/f8319/GeQVAIo/xP/TeuTX9xWAnm/8CqAcvzn8tPRa2yJLy7dn/J9xiVkaQpqvuE/ZxuVvOy88/vVWD89/Kd+e8c/cAxCID74H4MEMj6NlOjXeGlJ/pHTH2nh7/Efbf/r8rO6fo47Xx7+wj0/y/O4BeLD/nvan3wOgfX61Bz/nDU693gRVkmPlf12y5jnesc8Bp1LTtoX/7Pg/tVPP8WvfA/DUprM+bVv4z45/TbLn/7nx5+OezfW9IdxaIq3N0qsgNfso+yV0rC/+PAvYRjwfLfGTxB8gf+7Mwunxz6Gnfy30mTg9/p7/PxtOjD8AdHsRUFrHxEo/FD8/uraC+cn6M6RBws4VoN5/HXBs5+sH8Pj3jj/X9lH8EksBPP6e/x7/T9vAP+5VwB0QUF+qieLXytditH3W87e7/aOx+vxZw+Nfp2vla/nfbv9omM8fUQDwvwzozCsAJXnS1lcA7foBPP6jrgBw+735+fD4A3j+e/yb/e/+dcCSPaAV1iPaPS4tfbf56LkHuIO/1HgtffX5mE2fDY//HZ7/Z8W/ewHw4SN8Sem/Suh3VeBHofvQgX+NCtDG/xWy8AOpvR7/PvF/ngfYN6pfmgNev2SHx9/z3+M/3P/mLYAffhaUqWU6NX5WvwRqnJZeGreK/7Owqv9vjz+g45RdUnDnB9vh8Z/bt8aq/r8+/q03ASKkbyJK3/mUa3N0IN8cNa5P2Tu6pd6cOKNv6b+Fvx7/NBPv7w+79+g+hoy/ZIfH3/Pf4z+pT2R0HavUkI52BJDt3fVuHQ6HHTz/Hc24AACeexq/Pk3H+4BzPz9Hgkkbf7b75OM0r/X4W8c/BT5C9THk/B5/6/jHmNi0Hn9D/xteBexwOBwOh2N7qK7/wwuuAFhVfmlr+zl7BeDxvwMfofoYcn5r/z3+MSY2rbX/Hn8N/ALC/ggA4HuADseZ8Px36IDvaqTuelzpLtCSnTNb99/9t/Q/BT5K9fvwe/zdf/ffyn8N4rWcGpVPt+qXQI3T0kvjVvF/Flb1//T4a8+Tt/v/9vjPwqr+e/xJPERQuwp5Ot6P4PXT+qOFH1si3cMq+SbnX8N/O6zhv8f/aRvV78O/hv8efyus4b/HX45URrSI264Gyr7RdGto4+fxf1f8Z9Ot4f57/p8c/yZcv2oiViVw65fuuNTPwE/WnyEdJFpVgG3WAvT1X6q/592kLfoBPP69429zBaAFHn8Az3+Pv1X8YbDegPpSTVp+a1j7T/Fr6Vr9o/mt4f7f4f6vxe/5PxbW/vO/DOjMKwC5lc1ZFeDZK4C3xl9r+xzfP5IAPP6e/x7/T9sZDV8H7HtAe+8B+R6gx9/9d/89/8+M/x0NBcCH78/H0l2HPWvF3quKvSrAEauqVHI+fnP4+VrStre8E+MfsxQg/rbK9cfxy231+Hv+e/y7o1oA/L5DAM9C7iifvhq0/uzmr+OO0+Ovtf/t/r89/qfD419AqQCAOVcARldWEhtK/Rm6x/m/9grA4z/O/x2uAHj8Pf9r7Qy8O/58vK62cZDYbW/P0Rce/7Ph8XeUIX1XuEZH+d3K4yF9R/oI3Zb+W2IF/98af/77y8fw97BxBt4a/x2wgv/nxj8k/wCuh06vAR0Oh8Ph2A/45r/HzYDh+v0D+Gfx936FPRDfA7LDCv6/Pf6tOla2rSfeHv+VsYL/58b/Sv7J1/vUPtHofSTXr9ev2QN8g/+n6/f4n63f4/9q/dQVgDsKwvwu0Bm6598FTMWxNM7jP0L3yPgDjHkKoI91Hv9a20eD5z/HhlJ/hu5h/gu2AOZ5bQF/DvQO97cvfXVo7X+7/2+PP4b725e+JVgFwNgKMJWatr1Rq7RyFeDsynSc/LVXAKnUtO2Nk+MPsO4VgLsuj7/nv8ffCjXNub2hDfZAXD/6udUmj7/rd/376vf8d/0krnJ1x60aWxFXFWNWFx8NK1eA4/2n9L/t28CeGs6Nf6sv8+bA4w/g+e/xt4h/5VXA/XSgvlSTlt8a1v5T/Fq6Vv9ofmu4/3e4/2vxe/6PhbX//C8DOvMKQI/xWusAfAXg8R8b/9xKp+f4dnj8ATz/Pf6D/Bd+HTDeO0jvf8Q/X4XxNboWlHzX/6SD0paarB38d/2u/2T9oLTF839r/bwCwBSj34Esfefy7Hc0z38Hdgh1bRS9vzVpO1r+ifGXvvN85jvSPf5j5ec1ev4fE/+QfApYtDToBOz4VThO0d8yS2kt30LfDafHXxvP3c+H0+OP4fmfP07R3zIfJazw7UyOGVhrBeAYj5WvADhmw/PfcUftHgDJHseCeyCun6BxW63+HnD9rt/1e/67/s76rw/3BbVWB3y3qfSzO9x/99/O/89vgp88QH38wXT97zGPv/vv/p/rv8PhcDgcjuXgVwCGw/13/y39v8sDkF0B6K3f4+/+u//r+I/3eIDov24P5AD9vgfo+l3/ufo9/10/IT3UW8db4HcBnw7pUwCON8Hz33HH/ldYOIin9IX6GJj+ttmh/DrF71Pjfyo8/h94/t/7GG+P/2qYfaVB+iYoa3vGaFxnBbDafK9mz0idrfSeWG2+V7NnjEbP/3Pj/wTe4wGi/849ENfv+l2/63f9rv8w/ReA1d2W4c+A2M7QeN1aKb23NQBz/cf6be+29fgDzI8/5du8M8HjD+D57/G3ij+Y6nVYA1928jPB4TgHnv8OOPgKAPY4PXZGBXj2CuDU+PsVgLPjn+r3/L/Tzoo/NOml9hZ67324ftfv+l2/63f9rt9ef19Y3nWZ+9az998F6ncBx/bM+NO6TnkK4Mz4e/7H9sz4fzV/d4D2qRZG4LRZoPz1+XCchNPi7/l/x2n+fhGuYOnzCm8etPzeczv/11gBePzr7QzdrfSeNnj88+1YzZ7/OV1nxP8JvwfgPP1xTKkdrV8D1+/xd/06/R5/12+LFSogrwDtsIL/p8bfrwDkdZ0S/xWwgv/nxj8k/wCuh8716weHw+FwOBxihOv3z8oErwCr7duxgv8efzus4L/H3w4r+O/x/8DX++dBswfo2B8e/7Ph8Xd8gQJOvRWqDz2qxW9e+lDG678SnSnlJP8t6Sv47/G3o6/gv8ffjr6C/wfH/7YFcHbFFy+5nD0L58LjfzY8/mfj0PhX7gHQPicqoz/3Pubpz+8BneP/CnSP/71dLT6j6R7/e7tafEbTPf731j4+DofD4XA4jsAF330D/MHoTQ9/BvzamfrxdZ/wsOHd/tOfd/vv8beme/wt/ff8Pzr+38v/h+1+OL7AF4L8THA4zoHn/9FICoAzK0B7urX/1Oft/lvT3X/33/Pf47+K/w6Hw+FwOE7F6XdBuv/uv/s/i+7+39vV7BtNd//vrYV9Z18JiFNx9iycC4//2fD4nw2PP8ZaFZLTne50pzvd6U6fQXc4HA6Hw+FwOBwOh8PhcDgcDofD8RL8DwxEDYQrHzVoAAAAAElFTkSuQmCC\n",
"text/plain": [
"<PIL.Image.Image image mode=L size=2048x2048 at 0x10BC73C70>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kilim(rule7, w=2048)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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