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@ilyarudyak
Created October 24, 2019 13:38
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"from keras.models import Sequential\n",
"from keras.layers import UpSampling2D, Conv2DTranspose\n",
"\n",
"import PIL.Image as Image\n",
"from pathlib import Path\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import tensorflow as tf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## transposed convolution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### simple example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's first look at the simple example. Then we may look at a real image. \n",
"\n",
"For simplicity we use weight matrix of all 1s. We have to get 2 times insrease in size and each number from `X` should be repeated as a matrix of shape `(2, 2)`."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, 3, 5, 1)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n, m = 3, 5\n",
"X = np.arange(n * m).reshape((1, n, m, 1))\n",
"X.shape"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0, 1, 2, 3, 4],\n",
" [ 5, 6, 7, 8, 9],\n",
" [10, 11, 12, 13, 14]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.reshape(n, m)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(list, 1, (2, 2, 1, 1))"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.random.seed(42) \n",
"tf.random.set_seed(42)\n",
"model = Sequential()\n",
"model.add(Conv2DTranspose(1, (2,2), strides=(2,2), input_shape=(n, m, 1), use_bias=False))\n",
"ct_layer = model.layers[0]\n",
"ct_layer.set_weights([np.array([1, 1, 1, 1]).reshape(2, 2, 1, 1)])\n",
"W = ct_layer.get_weights()\n",
"type(W), len(W), W[0].shape"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1., 1.],\n",
" [1., 1.]], dtype=float32)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"W_resh = W[0].reshape(2, 2)\n",
"W_resh"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"y = model.predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, 6, 10, 1)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As expected we got 2 times bigger matrix and each number is repeated 4 times."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"y_resh = y.reshape(2*n, 2*m)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0, 1, 2, 3, 4],\n",
" [ 5, 6, 7, 8, 9],\n",
" [10, 11, 12, 13, 14]])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.reshape(n, m)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0., 0., 1., 1., 2., 2., 3., 3., 4., 4.],\n",
" [ 0., 0., 1., 1., 2., 2., 3., 3., 4., 4.],\n",
" [ 5., 5., 6., 6., 7., 7., 8., 8., 9., 9.],\n",
" [ 5., 5., 6., 6., 7., 7., 8., 8., 9., 9.],\n",
" [10., 10., 11., 11., 12., 12., 13., 13., 14., 14.],\n",
" [10., 10., 11., 11., 12., 12., 13., 13., 14., 14.]], dtype=float32)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_resh"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### a real image"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"img = Image.open('space-shuttle-greyscale.jpg')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(900, 602)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"img.size"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dJoGmlEbIm1d4PB0KwZ7j2JS+o5B1p84yXdQ0yblzgdeUSEJGC6XIKtMn1n+G+BwXLsLSJv09nYavt97IdtNJpe5oh9R/OmaCcEY41HOmTnIsStcOEzodl7lVwH0s5AkH2gSU/F0aTHvQOBJ0eWNHMpycnDzOtnCAuR87vbukmm1YmMIguAzL17bbbU1OTtaAnmEngcxCw01wS91JGri1mxOYbDvLJlPOPjlySEbDSCPTBql7pjNKe9YzRG/a5mngIAhyi2MytZJ+0hlsVWg7ZqLU77B2Mx+d/UnnxnHmgiftleDH/54TBELe2enIzmDuOqTBh1YxxZCgWhrrpvx1Mn5vNXR9XoT0ThiC/TAWTEmiNExIFlhHfmbZ7A/LKZ2zVdk2C5G7d+8eyn4J2qWcagJsKeTYrIzMW2f9rIeTV1oHXOatE/BcR5Nx5G+8ycPl8E67phwrWQ6diY2TrGKzfKUX69gvh7El/bD+0dHRei+0wdVA4PbRUTGPm4DkzwlenrDWfbfbHdC577ZLHfi3Xq83AGqlrXQErqqq6tSNQYmLbLQTn++6DYjj4+MDN7NYJ9xLzJueaAsO+8k4m1InZPQew7RbkgyXxzEgCFZVNaBLRiw8J9thyTSMJUlGtoPSRGoySsoUIesokYB0Ijm3ct6U0if5Occl9TPs2pMnTzYuRG4L0B4bGyuCdin8JOA2SRNLcpkZlpHhnEuYk9elI2CKIftVmmiZfiDoMyxtSgdkuoT7mglYBgayDOY36TxKTooAaPEiEvtsZ5PbsjyJ+DCmJsnohsJ+0cE1sSa3i4DndBKdCM9nu30e28S0gY9Zn+m47XBzYazf7294HGk6mJKjTXAuAS9tge200DmU0hwsI9tAm2taOGVajLZGAkFHVUo1sM0ZVaTQCTJV5Hq4c6RUTlOqhOPQFBGWdM9jjxVob5v0SAJpCgdzKznpYWWVfispe9j1JcfBdIHBKcOmTFWwrAQNgigNn5LMPh/Gk3lkTuw8zt9580WJmSXrdVs5KT1xXAdDcQJtsh2K9VgCEjPcTLMw/ZHiBUp+HxZdEaS5kOprnP4hI15ZWVGn06kXTf1MDYMUwakp1Zf7kfkIBNtDLsbyegrtI3/nekPqVxp8WcYw51pK4dgpJ1gRrBlBMFppWuSlcyi1aXl5ubhLqOSwmqQ0z3x8q+fyt8eaGG8b0N6MPUvN+yZLLLNJwTQUluvrCTQpTSyYfZAGt5rlpPJk4zVNzDBD5GTiXGQkWx4ZWX9Eaz7XIVmgNPjmFtflurkDgeGky8q+p378LIpWq6VutztwPoGYe9opCQbsK5mv2Xu73R5ImSwvLw+EzHRsFKc7PF4rKyt1fp+7Gvg6KzqpzLHzwV3crcPQnakOf/fYra6uqtPpDNyZSdsk+2e5bhsjHaZmOJ60U+qWc4mPSuU4kEDRLtIBuCyPTUaMjEbISFlOE9N2H0sPOfN1bpvb4f4zosntjYwcSnbN+ViSxCmmUti+YTIMC7cNaFuSgVrY0RKT8PE0wibwzrL9nQ/0LynX1xK0CQhkQ57wBuoMq3k9rxvWrwxZXbfzrAQxslmLbzE2CzJrdAjtejwJCaYuN9tHFs12UVc+p2TwZFk8xnwxhYub1qv1bFleXq6Bglu/kq3mn8t33tnlOsw26yXAsM3st7T+qNS0p263WztPt8tl+7xcvE4y4PFhGWwLozSfl47XToOOrzQ+JcLUlI7hdakbl+O/JnAqpeAkDSw6lsga6zU4544q2zojslL+uvQb9WEppTyGpUQ2I6ebybYDbXZwK/tgSwM7LNyVNobECfaW9LKlXFemDvItLgRCSQM5VDKYzIez/KZdBazHBkiQzdDbzM6gYoM2oyRTJIv3byMjIwN3dlIvuRWNE4qsrWlMs+8EfArb5e8+z2wy28Oy6GCZc5XWd84wxURmZ1btx7W6Ty7H48l95XYo/t1A6j3N3W53Q8jvus0imwiF+zQ2NrYhfWKbGB8fr58bTnLiNQW2jcCewn34bOuwtAlz10k6mhyBhU6U9ab90D4NtgnitIskHdnvjPoyOiilKbcC2mnb341sG9DezPNKg96aubIS0JUAkIOfaRAOWoagnEhZpicCQ3JPOD7O0wZFFiwNGiHZO8sq6YpgwvYyFGOfCGRVVdWgIa2/RNbfqVtPHIN15kC5uMMtY0x/+PkdriMBgH1k2M6xYA7X55GdJ5NlHcwBsz46I46nd5R4rNxnPr8igdTlcayta4/R2tparYvcfsgIx33jrh3ahtvCdvOdm2aYHjNGDgQc65U6Ybs4B3KthGXQdnIMSmNsfTBSbAJ+/ub/jFpZT6afmB6y3TndQ9vmd4JyjmVKCYsoyfwtiS88v6kuyrYB7UcjTWy55KGlZuZOdknj8YDzONkODYfb/Syl3Jrbylwtn17GlEOG9O4jWRPz2MkaeB3rZR1m32SoNu6SvjkpaHQZahLYDDTMb5fSXfzPuxTzmI8zjCWYZFv8m+9+pN3QkZVsIoE+1wOYS6f+fY3P5Za+fn99t4gBPB+stbS0VF/P/KrLItj6z7t0SndCdrvdOiXA9ASF4Jsgm3aQx93/0vNFUtJpbhblkuXmd/+lk5QGH+FaOp+Rrq+1lNKAbDOjmSagbYpMmogpbXgYef0/ArQzDB+2I6AkaRRZfu5FZYjN0J+AxhSIAT4X/HiTAnO/7A9TJwzn6TRKzCH7wt0drq80GfgQex/zDgjWTZ2QNbB/DMfd383Gxf30ZzJ7AzcnCttuPXCrI3OXOeldh8sz2DG6YARj9um2cKGY42ybcRudA/eiaG6PM4BbX/li2wzZfV7pQU/+TCDzdVxE5bkWO+yMMjlmZPslPXLchtVje/D5pcXhUl98LHP97GdeTweWZMZ1p5Nj1JLlkaxkhLdVKTH4TKs0ybbZp713794N6QcCAgeGg83/ZJD+T7aafc36KHmHn48ZEMhYEgjzj489La3amz05xWI2SAOhYbPsZL+5P5gTqyQEmUxLuG0O1XORirlcC1kuJ+Lk5OQAeJKtWAgI1hnvgJOaJygB3qza5/PGC+vIbc8nF5YmYNoQb3Dyb9yix4nnLYAsy79ZB+5b6TG2viaBlOe7TxlJMlJ0edaNd6hk+Rlpui1NcyWBjW3M0D/P4RZK1uuIoTQetHWPbfY9XxhMZl2KpKnndH62jRy3bNtmfR4G7HSOPu/48eNaWVnZ/vu00zByoPl7AguPZ9g2zOgovNZK9O4Bs2KDuQ3O+U9/t+LNrHkuDTXDv0wHeEL3+/16t4SFuTumRrhoQofFekp6zzDRdaRucluewZD1MK1gtuKH5btdS0tLA+1h7jvHn2DrdpJxUl80fLJilktH6P52u916DJv2jHPiph5cH+2GuXi2M9kp+5P2ScfCMcgoJu2JgEVxXc5v0/mUSA1TT9Rx6oX9Kp2TkqTL15cccs5t9pegyjFlqmozSZBmHzjmSbToCHjNMPwqHX80sq1Bu2SMZNo8RnDmcSoyQYvXMj9MQ8gbQJaXlwf2vDKEtrA8C1lUMky308+kkDbm5amLZNlVVdU7HzL0bgLiTO9I68yQQGcwJxilsdJZkCm73WbpNPTShOJ+ZUqCF89nGsLpB7JYTjo7zOXl5WJaoWlvLhkhgYzATIZZaifrSzbapAu+gKEECulIqC/2zWDPaKEEVins47BUCcsogX9Kr9cbWFS2Xkke2Idku76GeOD+c2+712pK6zPsI/XGeUEiw36ls7Au0mHRjpoY+KORbQPaJWkK7ZNJ8xg9vrQxddIknjw21PHx8Q23FEvrxjIxMVGX22oN7jPOHBkBj2kMi8+zMTvkM8jZmSQrNuvP55G4zFJ6xO9HzL5z8jMFQPHkYGjN31ie86duK1MXfLO52y1tdGysM50yr8vPrjMnZDJu/6etEHysY48lHWjaBNNluRPHdXjcM2ddErffdRogrAvu0MmIqhTmNwF16i1DftdlJ5Jsl7rLOpL8+G5Fp5K4aOmy2JccIxKETHnQQfsct5Ggnp95DcvgS7W9KOzrXD7toSn9khEgbYdOLwnmMNkWoF1i2VuR0kTmb5kqSXbL8wj2vAuM5VGYopA0YAgO/5t2k7iebIv74nyugZqglQDW7/eLINDEojMFwfoTcNgWGjP1ZOGdl1zEcf+9Q4LpjtQL0x+ZiuA5vK5kA2S8pYim5PTTcbHNPi+dYtaXzMrOj89YSUClZBRTKp+A4b7ljUmp15LjY79YD8e6pGtfQ8D2uWlX7AuJiusmiy3t9Mix4jWM9Ch0LG4TCQ+3itIppgOwnZL181y2y3aSbUnnPgyUtwrY0jYBbWljB7d6TZOUGFQpPZJemlvnErBKiz0ppcUgtoPga2GoV+obnRpTK/TcJSBy/WxbRiQuhxM60098EL1BNJlsMvN8Sh93c4yMrD8Yn/oneyRTKm1jpG5Tn253RjTJ5KT1PLr7n4tiqXOCEMeF40yGlY9+3crkzBRR2rH7lQzeYv1xncTMkeBfYuil1KP7R6AupbE459heRgZm7aVUQ0lHZPZ0NqyD/ZbWWTJt0G94yrFynSW230RuSuPl36nPdMIl283c+GZ1SdsQtCk5MaRBj0R2wxAk90cOq4cAIQ0+VD/vMuMNDf3++s0amb9m2U1C1mKwyG1ibi9zvZmL9kRoCq8SdDxBuF+ZD9Zx3ywGCbJWbnUriY2QIJypCUYSbqNfL+b0CnVD0OACaLYlJzl1nDtRLFy3KKU22E/q2qkpginPr6qqtiGybZ+f7Jxj5j/WR2bqcsj8fR4XpxOkmHqgDRC06Cg9VuwzbaNEtNguXpdRTYJzaa6z35IG7ka1MLLjbh3W1+l0BnaacAssHYJ1krug6CwJwhmxZL8yBUOwTodfcigl2RS0W63WByW9UtJDVVU985FjeyR9TNKlko5IuraqqpOtsy19l6S/L2lR0j+uqup/bVZH1Fd/3iz9kWy05B2z7NLvuUiTSk+mbgDg9yYWngbW7/frRcPcE+sB5sTIvdzJUnycTsDGlSEsJ3spEkn2wc+cAJ4kuRjE880yOSZ0Sk6zGCD6/bN3Iqbj6vf7A88VKbGWfr9fv/PPoarTEnypQ+5DdjlMbXHySBp4WBTrI1s1SPA5F6krOi2CFiV1ntcw+nAbM8wnEKWTIou0I01xPfkQJevKffY57KvHkxGA21o67mtLqQXOm7Qt/qfD9HV0NrTFvC4dpueaF7Q5vwzcZvGLi4v1uzhzjpGsSKoX4umAhkWO3zVoS/odSb8h6UM49iZJn6mq6h2tVutNj3y/TtIrJF3xyN8LJb33kf9blibQbfLwORGkwUEupR6SJWZ+sNQODwLzWtyFwIHitTT+vKPP7fLCHHeuGBRzoHk920kwMlg7MuBEcTsYljEspE5YF/ORXJA02y2xrRLg+DtvRqIush0EF24b9OSZnJysdTc/P69erzeQu8+9zwlWnoiWiYmJDWDscfeNR3YKbuva2trAzpUSo2SqgiBIyRQTAcR9d91Mb/j5It7ZxL4Z0OlAOZ52au12e8Bp0paTYbNfBkxvb+XuJd5MZsc8Pj4+sMjP82kfuaOEOslIhrbMnHUp9cBrS6mZfr+viYmJgQd6+TcTDI8Vd1WljdH2qL/cz89cPp3wMNnSzTWtVutSSTeDaX9d0kurqrq/1WpdKOnPqqp6aqvV+o+PfP5Injes/PHx8erAgQMDQDzssyWZOI2MxwnKPo//m8TXebAYTubjVUdGRjaEUdBfPQnMGhkqkZ016H+APeROkgxRc9C5IMpJaMNiW5KdS82LQpxU6UQTgMhg/T+fKsh8OdtLHXuLJZmdpA1vbrd4twJBzhPTzJi69VMQe71ezZDoSEsTyukji8G1lDNuSin5OrIt6jYdIHVsfRhQNgvZSSxYhx1Q9jFvQEp2nWWXMMXXG9zZLqeOvD0vgTTLYyqIdkm9JSBTeA6f4shzfYNPtsX95CMJhqUKm4T98rW0ofvuu0+9Xq+I3o82p30AQPyApAOPfL5I0t04755Hjg0F7XOVUt6S0nTc127myUrn8PGanIh0FMP2gw4b3JzYzLFKg+yiBCIl0C4dcxv8rGZpY6huQyylelxG9r2UvnF4bsaaoM5JRyV8XdkAACAASURBVKfESU/AslP0cS7EGWRT12Q71IeBOp86yM95FyNznDy/qqoNb0tnH+2sS1FSSb90RtQN+10aM5fLsD916WPcg0/26LJyfYahfikaK7HNlBIweZzsbC3JvtOO6aDcvlK6KZ1Vicw5kiktZGeU7rlnImCnz3Y1OYnSfMp+cWyHyXe9EFlVVdVqtc55t3ir1fppST8tbXywioVggOs2fE4wbDpeYubDJBfKpPXb25sYqY2QbMifl5eXB57cVmIIbFMpD8db3dMgSzrKtknre7X7/X6d+01DYRnJpKgft4VjZRbi/84t+3f/lguAOT4EPevDqZnM9w4Lofl0Pj/GtNvtblh4HBsb0+LioiYmJuo9xQztucjlfifLtrif/HPYT13zMx/zmuNANkxHmcDNa2yL/k/H7X6lDXHRm+NfihKYtitth8sy6CDcFt88xIV4f6beqVfrnv23U+f213wcLYkTUzm+Nh11yR4ppXWcxJvUBc/L6H8r+/elRw/aD7ZarQuRHnnokeP3SroE5138yLENUlXV+yW9X5I6nU5V2mZW8u4loVe0EFAIaA6xSx6/VK5/t3G7LU0pF4Zu0sbnSRDUPXDJkMgIPMGYd3YZqTNfy7a6HIa93W63Tif4hp50nAQD7pLxU+m4Yp+PyvQkoL7YHxpzv9/X5ORk0Zl6ErrtyYwzhWL9cJ89++Xb6dNOsky/YWdpaakGPYfxvJY5ZB432KRTzyiDxz1Ww9Iwee5mrIw3gyRjz75bLwTVbHcuumWbpPJCMddmuB7Aej3nDdYjIyMD7xxlWba3Ett2WsPRkedO2id1R6fqPLvtmguIGeW4PxaPGx994fLMzJsIJedZ6i/l0YL2JyX9I0nveOT/J3D8/2u1Wh/V2QXIU9Um+eyS0LMzj7ZZ3jcXWhzKELwk1YZD2aqDGPY0siyr1MacFKVUDPtMg2a4zMlhA2Af3VanLLKNBn/ndlPoLAg2nU5nQ7jndyCW2pFAlICUZRHY+ZCqJofmP0+KTBXwu8GYUQFDczo22xAX0yRtmKRm/2k/CZTJsJhG4h9tg/VYuCjLukpkglENGSZtiWOSRIL1+7dc6CxJMtSSY+MYEaj9xwU/11VyDGbrjhaZPqQNUx/5aAACOJ0JU2xcFyGIu60+lw7bY2Xwf6xkK1v+PiLppZIuaLVa90j6RZ0F6xtbrdbrJR2VdO0jp/+Jzm73+5bObvn7J1tpRIYLyUJywkrDUx8ezHzpKs8pLRzxDjgf9/8Sw6BslsLJ9nORM5lElptARJ0RLBK0XZ514esmJiYGbljJkJ1tp2E39c2ThUZLQPA53IHC8JY7MchWVlfPPsjfqYp0hv5dWl+Vz9wz9WsGlDlcnz85OVmHyE6j5CM6/bRCOsK0Tz8zhDZNxsgX3tIpkhU2pVBybJNJ5g6lkZGR2tFyTJkqyPrp7FyPga4UzVISsD2mroukhVGDAVBaXyvg2Phzq9Wqo8R0OEz3pN02LV6W1ioItkxZJcNm+dZnOlA7zdJd1inpKJtkWzyatdPpVAcPHpS0ERSS6UmDt9H6WIk5l0CMv1scmpTC2aY8OL15qewSc8qFjQRUSjouMksaiJ/YRrHxcxuhPX/eoZf/UwfZR+Zqh+mTKR/3t5TaoH5KuiwZuieft6tZj/5jdMU6M53EVFJGMwyFS07A59D+GJI3Aa11k6zSC2KSBl4WQb1kO3jHX7fbHWCuuUiYO6H8m8vM9nMsuABHJ0Fn5XJyyx/1TfbsazLKK+ktFyp5dyfXOZLhuj25eE97d31N0Wam8nxuRlwlcug2Z8aAJIygz+/33HPPY7575DGXYamPrUiyWGl4XijrbgLgUvlOOTSBwLAyeD4/t1rrd82VfpcGGa0nz+Li4oZnTxA0MxRn+EvQStmq7iyZ4qCT4fem8jMH3BQ5UJxjzmeMmB1l3j+Bhv3npG632/Ujd1M4xq6fTM/nkME6Gkgm7XynIwvrZWpqaiCXzgVpt5UEYHV1tc7/GsAI4rlgxugjd/7wximDDdcoDI7Ly8v1nnb2mc6B+vNvCdSOqNgmjgWZuHXnNviPC+m8pt1u17ukvB6SjNuSC5sGZoJvbgwoOWfOvZLd8Tyew+3Cm8m2AW0aUdNkTUOwIdHzD8uzpSe0lELYDHlHR0fr9/DlxPHgOYTM/BjrYVhoQybL4oDbkfgWXH+nw7BRsT8lRsNUyPLy8sA7ItlWlsNwmQySuiYj5a4YRkOchKln6jqZJMtwftnlccuVJz33u6+tranT6dQLrS6fYJ0hdo63d724vXmHJwHQDsIA6r64fOZpfQ13LHhni+2DuXQ6F9qwy8jUwsjI2f3mjB7pUErEwjsXWI7b4jLNWply8VhnVECdMqdOu/dv1BV3kbgcp9NsX+Pj4/VcW11dHXjUq8csbVNaf4+m56rb6r6122d3cJQeXsU5wkjETiQjLvc/WXhJbD9bJa7bBrQtNMrNOpEdLQEPy81FmqyzJFxkYh0s00ZLL53MI9kHt8ARzFkO22BjbnJq1Ju/c1udf3NawXrKchh2ltI7JTaQfSvtRCFYlJxM9pnXZCidbIp5bTs1l8eHfjGPz0iErMc25TFkzrME3P6cKS5GQ9LgDS/+87gS/EupIDqrTDeZ9bp90noEYGBLvVK/bhMBPq/xPQp8uTP14vFk6kXSwO8llmq9WN/UGx0j7Yk3tbjtXqtwmayXfTXTzoiP9mAb4jisrKxs2G1W0iudKsvfqmyFZUvbELSbOp9M2edyoMjMKGQMvp7nbFWxTE+4DWbe3n9No01WkyGR6+bkpqG5P95axjsI+bv7Q2M3GOTdgAxfU+80bAKhr+G+ZTL4XMj0+DkkJWN3Xcnom6Ir2oP7QMaezoIA6OutV4MDmV2OBUE4WWNT9GfGXIqyCNYGaffFzNC/03HTDgza1B8jjtJee0Zr1g3thgSBjNjjyzZZZ5xrzBNnPy1sD2+MMmNPMkPy4989ppxLzCmnHXsBmfXT4dOG2FdGFHmzlJ8f73HjZ+ox05Ici8SGJmmKhCjbBrRzQhBo0rgYXuX1CfY01hKTodBYHZLRq3OQbLS+xguCZHjcCkQGnYDl/w7tkpFzwMkUbJxkBwbXZJFk6DyHbMwTx3WmXjJsLLFhj40B2zoikLo9/ux29nq9AcbqCctxsTPp9/v1TULphOkc7dS4iObjPrd0TwCjAY+dd5Mw910Kpznx6PCoS5dZ2uNOu+A1bjfnA/O0rJ+A6Pp8fTp399tzzmka98O7amwvLpfjbr0kS2V7Uy9udzLjZMPceeE28lzqnsdL4GedWT8TExMDbUin6/pKOWe3g+V53mdqxn1miijHlrY+TLYNaJeEQMRjpe1feZ0lAUnaCOy8ecRK4wKNryFrSZbH65wjMwtiOewPAUtaf+yky+DkIBtx2sO5xbW1tQGgdnuTVXHikpVaXDdDZTLsnATMN0uDiz3sc8lxZmqp1WppZmam3vPtSU1wcHrCk8j7rl0G855MFTg853Hud2bf3X9PML6BxwyMEY/LoE1xBwXbwfMTVN0GX1Pa4UGxjgjCfuqcw3mCOe+2IyGi/mjDTLnwMcGlfvNa7uLyq78M9LSNJFnZz2S6HDemlbiX3+Vk5OU+ulzO7UypUEcsz30wDvDRwRRGlxl5JSB7DDMa3Ey2NWiXAJsgR6PjsaawlxMzFejrOBGodP6eIGjwZAhPhiFtzDmX2pipIe6tNtDmtQzZ3CbmD0usm+1hOWTLbisXphK0GQ66XVwDyD6VVvnZFvaTzsmLphxHX8ecJlNF7IcXoPx7Ewujo+K1jLDIuDIEtvBRsrmfl+1O9kmb48R33Y5gGI5Tf9ZXkgITHbaR9uKy2CZuq6MDYTuZErBwR01uo8toi8DI+vNmFNoZH7Xra3g/Bp1RqewSCUugtL6kwQeZZfqoJNRRzg/OX+ov5+Zmsu1Au5ROaBICYrJysgcyXnrZ0l1OfMg6wdfn+zeG+NL6Rny+NcMTjwtkTFe4D2yftPH9jtRDq9XasDebj9f0DSecgC6DziYZnicEUxpmtrllzP+5q8J9Kk0Qs2K/V9PjQAdLdue8osslO8r0AQGYRs/Q249rdfl04GTA1p/bzIlHwKdjYlqBwkiJbJROxeVl+sPRBJ2ggdw6dmrI53rM6fTIMtvt9TtM2R8SGfYhUz60P/fN7aFteAxsF05f0IFTb/7M744afC2dF+erj3kcXU6n0xn4zjF3GcMiGdsMdeExtV0x+sydQcSuBGi2JfVa+l+SbXFzzcTERHXJJZcMHGMIR6Dh5yb2mudamFahUWd+XBrcGeJzMqwl8HBLHoGLzIdsj9eTaWaKg/1z32wI2R6GV67fqQHm3VIva2trdT7dZeRkZBtcb05CLtJ6wlDHnHjUB8GIAGZmWQIPOlRODF7L9EDWkYybEUFOMpbpuqnD0gTjtSWHWeqTy07SkJGTiQjtiEDh+tgHkwqnFLw/msBO3ScDL5Eo68OL8NlPt4UO1m1pt9fXA0i0SmmsvJuQc6qqqtop2wEyorOzYpkeH89bl0OQz/FhuxgFpa7Y5yZbyvFP25Wko0ePqtvtbu+bayycEMmcKWRfJXbN82zYqTymDWiY9qQZ/nrA/DtfXjA2NlaH0gznfR0f7coFNgIL86sGZam835thGvuf25z8O5l8Gk2n06l1xLfqWMjCuL2KK/tMaTjiYF1um9kh2QnBiJGM2Y4nOJ2UNHizA52BJyp1QxsiW2NEwn3e7neCFSd/smGe43r5cgBP9mHhtQGZ7UzbJZCn3ZY+9/v9+qmGvmZxcXEAUErRnnVrG6UzsL7YZ7al9LvrShvN7XR8uJLPScC1TfpaOiA611wX8bm0DbJ2l19iwrS3klPPa5sAm8JzEsibZNuBtrRxS5hUfsZDE7BIgzeySKqBxIZF8CFYlJyDB95/FoMd0wFkX1xF7na79e/emZL9MGDmnVjcLuU2WQ/USVP45dA5w3BKbivLcxgS5+TjmPga7jhhaOryDcgeVzIu9oXbrxhRWefpsPm4TeowF6V4vW2AYO6Qm9e5vQQ6OoKMmny++21HxfUPSy6AO0LiuCfg5wKxAb8EFrSVBJGMItk3L7i57ewPWSn1biD29jvrmk6R56f95G4jLpqzfaurq5qcnBy4yYqkyjblMhnxMpWXfbBeOJYZhRBvuHefi/hm/MnyWT7HKTGtSbYVaFOBBEBO1hKoJCO3MjxgDPcJGryeIVe2iQaaaQN66W63W9eZYEDgzT7wFmaG0BzoUuTBaCN3bFB/dDwsz+JyeCxv681r+Bsncp5DRk0n5nc6rq2t1SyQkYHP5wN7/EwO/+Y+sc4mx2Pw4JjzfDJvt9GTm8yQqR1GSk3MiG22rrJ+OjW2n+fkGoCPW2++lq/As5CUsFz2n3237bksM1quEzSld7hH2mkY1p9A7AjKIEiHw7H2cdsl8+W0G5fD44yofDzTbpkmyXWL3LzQRJxcVj6bJMejdFzaSKZKsm1Am2kRspZkrzzfxzJsZphng8znUxCUSuWXwIqTPvNqZAdcvLORM+yVNjomSQP7gH0O6+fkypxc6tCGW7qVOftaSsM0hY4lR1qKHFx/9sHHyMp37do1sE3NvyfToUMkYLOtefs366+q9XcKevw4VnTI/p07eHiDBtMW1i2Z22bC89NZcSzYP6YD/J19s21kaqjJ2bod7HPurCEANpVTsg/aoZ0bHyeQabN8oqLH2I7e5fLGGtsJCVhp1wlZutl/3qGZ0UcpUqHQtpOV89ycPzw/nT3PKRFIy7YB7ZLSeDwZEg2eE1oaDFcIMh68zG1ayARTkqnzP5l0MuR8VKavya2DNiiyiaaJkHpjNEEjITtLgEhDyvCZoMiIwjpz6oCTiXVaryzHaRDqOJ8fkwtTbjvPo87IZN0u2koyolarVacnqqqq02Rsg9thkCeb5UTjom2Os8EjHTB1n5M3U0g8nyDCccmJno7D9TDNxBSQIx7ajvtnQPX5fI6Ly7Hz8uemyKPVWt/rbBtw9GRhHptjmrp0edSz63UZXleiPTJKchlsm8uRBve1uy9NO6kI4BmBkFCUnADtgMebIjdpG+0eOXz4sKTB8F4a3GtKSUAmcyUgkkUS4Ah0/f7g86ZdJlmvc3yZZ8y2uVy22/m1TENkPo/GWkoPpQ7cPoITP5fa52MEoQyx2bYEEJZHEM6tXQT2DGE5gegoaNgOmRmys+4EFl/rN5fQmVMIeLSLJpZDZ5djZJugw3OZWb5tNFNVWW5p0iaTLbU1x4THaCc+nkyPuiUg+jPvoKUks+VecY6LAZSpBo45nWopbUHwdp9oA9aR2+nvZPO2D+rQztlrLDkOrtvlEMwJ1ly7yd/S6fIY54uvk54Aj2YtAV8ptCMQ5u80Wg6KDYUD6kG2sjjQ3M9NUJM08Ls0yHJLQEbDYJlsL52My2S7XW8aszTIBiyZmzboWRxyUp+sm2y5FBJzvFqts7cBe2te6aFAyU79UgPfKp/sn9ET++Tf+daRjLTsJNxGOl2OmdvTlMqwXViXTA+kfglAeT3rpO74R0AnK0snQD2mXbKOkqPKLXO0gbSNdArcHlhi0O6TdNbW/Oo4jg+JBYGbDpdj44iXkqlE3oBDsPQTLJl2oX79mXbjXVN+2uYwouLxdt9sDxwvA3am6ai/UnqkpNOSbAvQptfJ0E4azCVLg2BpKS0k5vMQOCAlNm7DouFwmxqNg4za12Z+yg4howAblMsgS6axlkAl2RCdko+XdJhlcOJOTU3VemWITCPn7yUQchuGMTFJ9S6azCuWHDdZFvtI5kagcbREkK+q9Vy0wYvs3ufReZA9ubySHhMgyapdjtvGOwU9du536ihtlWBOffEY2+DfciwIyNwZk07Qf16IddvJbj1GHKtkr9m+7Hc6Ks5HsmgL7Y43XtFODMa52Md5nVsOMxpieWTC1G0+TjnJAaMtsu7sB20iNws0ybYAbWkwV51Ppksj9nm+Lo2BxsU9mwl4FubAU+hhzVoNMJmLcl28Q9HfGWaTeTT1izpJPfEa6sipGF7negxA+axhslpOHF7PFXvqjOG+r0+WmP3J/cW+Lp2wJR/UQ7vgc0HsZAk8TkuxjpxcHE8CBQG3ifXYabAepkyyH25HtqGkK3+nXfl6/lG3PEcafAwCxzajL9ZdGoPSQq3Lp1M0ILr+dMpsG+ukcyqxzwQ8/07b5jxnZOEo0DaSzp7M304uIz3ihu09HXxTuiPHaZhsBbClbQLaJUadiw/5UCdOKKYoqDQyNLJYGjCNvQTcCS4Gu36/X9+aTcbBHBpBzMc3e9gV0y9sg8X1t1rre825xzqBiY+q9Dl8q3iCNl/h5d0c09PTdd1+oFM+U8MRSW6Noj7zduBkvAQFT046B45X5m7pEGwDfmBRXpcO22PDtJYdeSndlNGIn07I0DtZdPY1y0u7M0Dk+U4LJLhljpx6Tsl3VLo+kh9JA46wFGVxXJieoaSTScC1rm1vnCspjAaYruEjgyUNLEJyR9bY2NjAQ8YIwE2sO1Mvjj64ZTDTW6VjWwHuJnKw4byteoHHUyYnJ6tLL720/s5UQobfNEh2kmBHYJPW2U0+cS/Zc05uaTCkzNCN9fs4nUeCffbPxpePVqWjcHn5aE/K+Pj4wCNDS5FJ5l1Le3cZHVA/fMysgXFpaWng5bXM4ZUAKCd2aVcNHRzHgxOJ+kxdJBD53GRy/C2ZW4kZZeSR7XbdJVZeijrYJu5D53nnOi+zXYw2ctsc67e+2bZsN8tvSgkMY5r8z8+MNrPMjGJL/WWU53o9D3mjWpZLG1tbW6sXJ5MoZHqOziydW4I9pSmCKunLcvfdd2/v29ibjL8pZCPb8SAke5IGBzIB25IAkZvqfY1Bn6ER2UG2zZKOwH9MU+TuCA9q7rHmDg2e2+12B9Ii7L+NuLRAlY6ltL+83W7X7xvMlJDb7pV3t6mJadMRZjsofLOOx4HRjNubdwSWWKsXPB1hcFyHOeGmNFWm7CyZYvI5jHKswyQbnPB05ARfl19ydvmZToqLZqX+lBxfjocdJHd8ZDlsh3XnfqTQOaYjKTmRkqPkmJtRV1VVs2G2V9oInExteQtopj0y2qcTSEfutpN4lPTtNjcx863ItgBtsupkAQngFOY705hbrdYAULtMLgxaybkKTRAnePEGAEkDk4v53ry5x8CQ26FYvv/oAHwtQbjEHpiyyVycdZo3TRAE01nwOENg99nfrROzcZ+baQ72x2XmrgVpfWcJ94D7fE9E7hDxOFtHBEbLysrKhj23tCvrjQBXAiP2IQGHY0725POtz2RUpXrGx8c1OTlZ647ptoyOmiY5AWRlZWXgyZVsfykqyvGWyguLaavZFjtVpuJYHglAibGTmPF3Eiq3f21trXb0tkfPVV+TTDrXIvxUQerQZfI5Or1er95WmuyeemM7m8hSXpNrBk2yrdIjnDBNDI0sJhkshQrwxOb3JgAzQHjAuU2Qr0ki2+YkYfv5mQPv8M2S26+YYvGEZZ2evAl+vibPz7bwO9tAkOfkzjI4HnYGfCmttD6583VaJdafE9BlW0rpitIYJpvM686FzVAHpfxqtosgs1nbU6g3Ry9kiAZIjnXeHk8ATPJTamsy2aY5IWkDwWAElEyWbLxJb/kgqUwrMNVIYkQpMWKW57ljRm274xoJy6H9mbl7zSijq35//SXeLpNllD77P+slmUq7/Ou//uvtnR6hDAu9LAk66c3ImsgIMnfNBbEMcWyoXDwjkNqTu0x6bWkwSlhdXR1IIfhYq9UaYEHS+uKPy8j8W+qKx0p7b5ucculGBRoaHxTEspJBuX0lRpW6YP+T2ac0HS9NiqbzS0xyq/XYeScolNoiDeY5S4ypCRCTuXMHRrLdDN/TYdtOCNyltvL7sHMsTCF5XhBQ/dltSnB3e1leCuejz/dfUxTl9ufcJ7P2Oba1Ekhmyse67vV6G6IA68DfmxZeOT4J1vxPIrRZFGbZdqDdlMemJDiVWFUudvE6gy3DGtfJN19TrERf65SAjZTbzUp5S2l9Ac0PiPINKWbTBnJ78XQybiuN0n3IlIzrb9r7yYnDLVAG6snJyXrCJItjXo96MctydOI2MkdvXdnRcXKWJgh1z7FmFJD9pv55jtu92V5496eUk2V5TUy71HZO0lIqwfrJNBnLIwgk8DGF5p0swxxiKbprAgrOkcnJyQFQ4oOkqIsEoWGpFPZVWicuLpdMn20qlZcOY2lpqX6hhudCKZpzmbRZz3GnQ3xOiRmXdJULlqVxbyIEw2RbgTbBMw0zGVZOtmHX8jqXxTv4XBaNw2UkIyTzotI5yKyTwny2DSu3AHJBkZOVj7JkDrjf7294sluyHIaXadRcbffv7leGvpyI1JnbWpqs7p8XgxkBuT6OW4mBc1IT3JmScr8SaBPw08EPY9ruX8kBpHBrYel82yPz8wSk1C2jvizPZCGdOHWZQkCybfvY+Ph4HTlOTU1pfn6+thneUbi8vLxhixzHyLnlHD9GDpn3Zd88tkyxNAE8dcO6/PAoOj6DLstn+4kLJkyMsj1GnA8E73ycBKNzSxPTzjEa9rtlW4F2ymYhFVnkZmEwhUyaCwb2yKyfE53s1W2iE6mq9cdZMj9u4cQ2iCXDKbFNDjg9s+/KSqDM6IGhq883g86JUVroyX3VJX3TkCl8xdfi4uJANEPQyTJLToARTeqKC6JNoLxZSqDpeDqYzSTLTEA1aDh3nWBfKisXm/mmoQT7ZJ7uV0nPY2Nj6vV6mp6e1ujoqE6cOKF7771X+/bt09Of/nTNzc3VoGe74cJkCnXFh1Sxv5ZcwGu3zz6mOIE8WbXTcdJ62oi/06YZ6Xk+5q4j6oSOLUlLk3CvP6U0f0usexgbL8mmoN1qtS6R9CFJByRVkt5fVdW7Wq3WHkkfk3SppCOSrq2q6mTrbO/fJenvS1qU9I+rqvpfm7bkEUnWsJlkbm8rQgDmoPodhjZKMlo+mYySjJYAl+caqEv7yC3copVle7LaEXi3RdPOEBoe30iTDCcZQQKJdUHDTiGDaUo5uF9mM1wosn54rv9SV3yRK9ki85aWJiAediwlo7RS2U0yOjo68KJf95vsrRQBMB2W7WCkmSydwsWz3BnBumyTH/zgB7W2tqbJyUmdOXNGvV5Pr3rVq/S0pz1Nc3NzA3Uy907Q4VMauWDO9jM6tT7MbH1+Pokv+9XpdCSdfSwCb9enXfl7krvchZN63ipYsz1Nkg7U9X03sunukVardaGkC6uq+l+tVmtW0hcl/V+S/rGkE1VVvaPVar1J0u6qqq5rtVp/X9LP6ixov1DSu6qqeuGwOiYmJqrLLrtsw/FcIEwwL4WFPL8EmuhXfR5zsC7HrMLfzYqZQiELYpnDgKDULmnd+TSxNE4OG8LIyMgAa+V1pdCRjItGnfW5L8ly3M4E+iyHfSDYM8+afXUZud/ZDo6Tu9ReCkGsFLk0RTZZhs+lPt0m2w7fTsI1CLa5xOoSSFMyl+7Q3f1IZpfzgv1ju3yuz5mfn9ehQ4d0880366677tLzn/98fehDH9LS0pIuvfRSzc3N6Z//83+uG2+8Udddd51OnDhRM93ctcHbxTlXqPuSUyeztU6564MMnW9j57V556y0/mb4pmiEaRCPUbL2dDh5rIlNl+wq52WewyjlyJEjjbtHznnLX6vV+oSk33jk76VVVd3/CLD/WVVVT221Wv/xkc8feeT8r/u8pjInJyerpzzlKRsmIUGYjIQTikyDk7oE3CUmR6DNsCxzo0yptNvt+ml1rHMYYDc5jSa2lPpI0PGCTUlv1kfJQeRiDJm5r/VESfsg8Pu80gp69plgxvHkZObv2R5O2ib9WGgrTe0adsztbWoXy/XNO9ZJEwttmqiWYWyNzo5CveeiNX+no2GfOp2Ojh49qv/0n/6TLr74Yp0+HQZvTwAAIABJREFUfVpf+tKXNDExobm5OV100UW6//776yc5fvrTn9add95ZR3fz8/MDgJtPAsz6/HnYOoH11bQDh3bE6E5aj/ZIaqgH2hrr9XU8N/PWjwVoZ1/4n+X2+/3H7o7IVqt1qaTnSvq8pAMA4gd0Nn0iSRdJuhuX3fPIsUbQdkNzcqR3LE1QemgyoZJHTzbt68mavLMj89UJrJmWcb25OEbGkeVZuGOFBs+B9DEu1HEbYgInJ6nLZT8Ifgxp3a/MJ9uwOdnITJJdWpq2IaajY5qqZAPZVjobC/vHY6Xni1Cnpd0J/D1Jg8t1+/jiBR/jONIuOHbMaScTJajkI2+pR7eFDpxjzYjFxyYmJmo2e8stt+iCCy7Q6OiovvzlL2tyclLdbldTU1NaW1vTwYMHdccdd+jSSy/V3/t7f0/f/OY3NT8/P8CqeRNKVa3vgjEDtk5Ietw22ibXkwy+pbGijjPVYTsyqfLYuV6Ogc/z7yyLtp0kJ4VzkmNeIjNJwjj2LG+YbBm0W63WjKQ/kPRzVVWdjsqrVqt1TpS91Wr9tKSflsoPSZIGwfpcIoImBeduEUsuWgxjzJwErIMAy/ZyMNMrs8yUdGA+j3UkQy4J88JN9ScQOdRn/U7FEGB9DkE/9VaKFFhXtjVZUJ5Lh5jn+Hgy0KbxHsbE+VuTTRCIctcQAZV1MlfbarU2RA5MCbAP0uBzsEvt53GWkWmUhYUFzc7O6uMf/7j27dunbrerl7/85Wq1Wjpx4oQOHTqkM2fO6OGHH9bdd9+tJz/5yep2uzp8+LB27txZ57fzwWNk0Ywymhiuj5UiOgJhab4wDZLX2QGQHNlmcwsr25jtyPOGYULpc55TYuvZp63IlkC71WqN6Sxgf7iqqj985PCDrVbrwmo9PfLQI8fvlXQJLr/4kWPZyPdLer90Nj2ypdZuUTixm7Z/SRvvPCzlETPlwr3GVDKBzsJcJ1kFGYi08VGu0vpzTbI9rC9TQuy/hbtEmPLgOdyKaKMio2WEQH35HO4SSGkCc+uHbCPB2dIEVNlPt5fn8I5M//dnRiOliUT9kB26HLLwbO9mZZERm/2zDbz1nvv8S49rSDuhTpLdttttTU9P68tf/rJWVlb00EMPaXZ2Vtddd129g+Tuu+/WzMyM3vCGN+jZz362nvOc5+jo0aP69//+3+vhhx/esFsi50G2h0y1BH4ZXUmqF6sptHdHKtZ3KZWR89afrf+80YaRCiPEYTqmlPCFbd9MmshryqYPcG2dbckHJP1VVVXvxE+flPSPHvn8jyR9Asf/n9ZZeZGkU9WQfHbdkPbgImLmtMgGqWROKA5S6W4kLhpJqsGJk86M0r+7vPxLybvGaKQ0Ik+88fFxTUxMqNPpDLS13T677WlsbEzj4+MDhsQ2MdwnOytFGQRGtqcEkhnm8XffJeYXGBjoOVnch1wz8DlkLpRSGWxXtsN/dLieYC6Lk9k3L1F8zKzNT0u0nXE3kJ9hwvI4zqzPjmxsbKwea/+Zobov3v2wuLhY22dOcOuFzI/pB0YT1MfExERdr9u/Z88erays6LOf/awWFxe1Z88eHTlyRJOTk5qfn9dDDz2kqakpHTx4UH/8x3+shx56SPv27dPRo0f1G7/xG/VCpO+KdZtsK5kSoKOjXdEOOXYkW14v8M1C7pf/OH5pH/5PPXF+MnrijWHMi2ekYFzKaMl447Qjb8DjHCKGuQ/GsM0e2Tyg083SDq1W6wcl/bmkr0qydt6ss3ntGyU9SdJRnd3yd+IRkP8NSdfo7Ja/f1JV1ReG1TE5OVldfvnlQ5kkO0z2EG0dKCPBMK/ndWQiGV76Ontcsk6W4f98jKqP887F3BLo8paXlzc4IvYhQ1DXkXltPoifOWppMDdtlsh2uEy3k3p0OzaTrZ5DR8lcpPvI1A6FkY77QOeWOktJp5vOiRM6GWCGz/5P4Eg2nDcUcTI3hcW0e/7R8eT4lgDCzsj/L7roIv3qr/6qFhYWtLi4qKNHj9Y57IWFBfX7fU1OTuolL3mJRkdH9ZnPfKbeSdJut/XGN75RJ0+elLT+/JO8+aTEkPMYb7ainkpjZpv1ddIgu+ZYcd82FynZzmTA+VRQMm2fw/Oof/5n/0mUhqVDS32VpCNHjmhpaenRLURWVfUXkpq2RFxdOL+S9P9uVm7huvozDaCUAvCkyrA5wTgXnXwtgUoafB8jQ/VcoCP45yDS43a73Xpvrut3WQ5ZWXZuySLbygUmArmvtbhtZA18TCUjmSbDISCWwt8EsASsYeenUy6ladwfRi7ZPuvRAM0UBa/heLH+7HsCI/P5ZIrUsfuZtippgP2l/ZDtZXRIyedsl6I8touOJgmIy5ucnNRb3vIWra2taXZ2VktLS7rjjjs0NTWlY8eOaW1trQb2Bx98UD/7sz9bg+Dy8rJ+9Ed/dAD4GA3l/MzojsKoLfdTlxwYy0vCxrlC55C/e1yzDs9h5+fd3lI7eDNQRr8le2M5TfON9bAvw4jPtrsjkoy6KWfL8zYrI88lKyWrJlATUDhZyHY5Wf2bc9NTU1M1q2Yaw+dl7orfbWB+9kVpwcXHsn0GW++AoQFyYYbglf2jDrPPpSjHuuINDu4PmSUdY07AdKIsl0zV1+Y5bHNGQKXJ1+Q80sFQzyVhtOK6c6cHQYSRBMHK9dpe/LYh5lO9S4MpEq+vZD7fbbbDd9j+kY98RGNjY5qamtL3f//366677tLMzIxarZZmZ2c1Pz+vnTt36hd+4Rc0Pj6ut771rXrggQc0MzOjEydO6I//+I915ZVX1ikeRiW5Za5kO5YEMN/dmZG1SVem/zgmCbIkLqUoNNmvfyutUfn30h2gSQBKhCuFkZE/k/QMwzTKtgPtBMSSZK55mGT47+98VCrZtSUngc81IDLccrnD9nXzTsgEGxqir2l6ap6NorQvNydDMnOeP+zGDpYhlV/15vI8sXIXRLaDIW6eV2o/w1+/Pqpp4vBz2k4JcJOtlhi9v+cY5A0leb6dRmkBiykdis/33a5kf76Oi8UEQ/eHi6rWV7vd1uzsrFZXV/W5z31OJ0+e1MGDB/X1r39d733ve+v91p1OR0tLS9q3b58WFhZ0/fXX69nPfrb++q//WhMTE5qfn9e+ffv0lre8RcePH5e0cUeNHVbT/n7qNyNHOyM/8dIko6rWc/ZVVdXpQzo/Ri4Z4VFPyW5LzqQktN+mc5nXLxEg1+m+U4Yt0DbJtgRtabjXSba8meJLwO3PDOOS2SfLT6/IgWHe2AbFnOz4+PjAnWKl/ritZIxNbJL98Hkun4ZaAolhoVeelyGuIwX2ISdMhs1NDN7fLSwjJ3apL8m6M4XVJKXFstJEK9VJx0w7JKNmHQyhm8aT7Kz0eF/roCknW3IerdbZHPapU6d05swZfeELX9CBAwf04IMP1rtGvPbh3PTx48f11Kc+VXv37tV//+//XSdOnNDa2tnb2n/qp35Kz3jGMzQ+Pq5er1c7F9qt/5fGnbrPiMt9S5bKPjNC5W4aRhR2fD6W86A05k3i3xzh2IGUhE4gmXxKKaI7V9nacuX3QEpMzMetBP/f6uRMaWJm0vrCiLTxBgfWVTICG0nmNpkGcHjHVWOGgq6DxsS+0sBdtjR4hyD1mJOgxDioT7Y9+5H9yZ0xJVaRuTmCH3XI8+j4CIROD2SZ6exyjC05QekQzXxKoMPrEiypa9aRTpMsmU6ANt2kx+xPOtA8bnGUtrCwoAsuuECf+MQntGPHDj344IP64he/qKNHj2phYaEGo7GxMc3MzNSptbW1NZ0+fbpu+9jYmG699VZJZ5/14bHw/3zWt9vM7bElG26yBYptgikF/3EcuXOHpMfnNe3OKNm4x8Vj64dkcT42STrvpnMSP1jfZrLtmPZjIR48MlF/z1CSv/szj0sbQ25Lvq1F2sh8SoySHplgkKGTy8u20NH4t/T0ydJKe9AzpZCMOnXKvpQYdOnzMEDK/jLMJOiVFp1SmiYSI5N8R6TrTOBk/dnPZIL87DpKOXUeK90tVxICClNrbLvHjg7IT7G78sor9YEPfEATExMaHR3VO9/5zvp364ypwuc973l6wQteoOuvv17dbre+c/LCCy/Uj/3Yj2l+fr6xraU+5WvxmpwSj+fLRLKOpuityQmWIsWs37o8F2my6e+F/B8L2lLzZndOfi4I+Xur1apfEMoyyMZdTlMqhW2x10+W7M/MExu4uIjkvqTh+bxMN2S6x/n2BFCfy4UsC5lmMkeeU/qcxsy3m5TEbWO6q90++z4+9nnYJGmqv7Q/e9iiGPVWCnPZf/7WxPRLbbbz2EponKm9zOVKqnPBtt3R0VHt3r1b119/fc1A9+/fr5e97GWamJioy1xeXtb09LS63a6Wl5c1NTWlF7/4xTp48KDGxsbqOXDttdfqyiuvVK/X0+Li4gY9uj1MH/Ic2ngpbWJbl1S0ES6+cl0liQbbwjblLq9kuTmOJeKV/Sod+17JtgFtgloTC95q/sdsmikVl1X6X1pESDbOMDzBl5Op1Mac0KVQO89Nhun2cieFJXfCcJJzjzDbmW9xyT6V7sbMlIHrmZycVK/XU6fT0cLCgqanp+s2z83Naf/+/QPtbrVa9cPqx8fH1e12N+jAuUnqNIG5lEc/FwZrPVMyH5+6yW2meV2TpPNjmekwh0k6XLefqY7V1VX9/u//vqrq7M6MBx54QJ///Oe1urqqpaWl+q1EZNxXXXWVnv3sZ+vtb3+7jhw5oqqqND09rV27dukzn/mMDh06NEAuMp2Un7PNTdEKbZDpQe7YIJBmqo712nHx5hmXm9eVSEC2Mef3VkCahCnLJSFI3WT/hsm2Ae3NJNlzaQGGeS5vccutPJsJB5oAWFrw5AP3zWjyHIJAE8NL42IOVNLAQkjTwGaISPFxOiW2pcR+KMwnUnq9niYnJ3X69Gl1Oh39g3/wD/TMZz5TDz30kGZmZnT48GH1+32dOnVK0tmXld566626+eabddlll2lkZEQnT57Ujh07NrQ7I6AEO7bb4EQWtlUZllY5F9ksVCYw89ySk+BxXksnkp8NfiMjI7rzzjt1//33a2lpSb1eT8ePH9eJEyfqO2zNxquq0rFjx3Tbbbfp9OnT2rVrl+68804dPHiw3lnyyle+Um94wxt0//33b4jUKJs5y1LfS995i7zBl+tLeQekNOgE8t2l/D3TJCVgLcnjyaofTXrmCQPa0uY7S8hMyXy36sFcB0GO9SUgkCVl/psTi3nakjDv6nrYHxob28CJzmuacsqlyKK0RzWllJeVpJ07d2plZUU/8AM/oCNHjuif/bN/pna7rcnJSY2NjenIkSPas2ePbrnlFk1OTmrfvn360R/9Ub32ta/VH/3RH+m//Jf/UudT+QquTAdwUTVzypxQXETcqpTYuss+F9kMtDe7NtvNduU7N8lM3VYvGI6Pj+vo0aOanZ3VwsKCXvva1+q+++7T5ORkfX2329X09LSWl5d16aWX6sUvfrF27Nih3/7t39bi4qLm5+drxvo//sf/0Atf+MI612x9k91uJbppYrcZ9TBKzpRik43yXM4zErt0OKWFwHMd88dKmhxak2wr0Ga+KRl1KpQGKw2yQT4bIMEsy/Egl1IyTTlLn0+jyC1eBkmfSybOdIXL4y4E1jcysv7gKKZA6FT8G4EtF76oS96wQB1R6PgynHc6pNVq6bbbbtMtt9xSpz8uuugizczMaGZmRp1OR7t379ab3vQm/eZv/qZ27typY8eO6fTp07r66qv1ohe9SDMzM+r1enrXu96l+fl5TU9Pa2RkpH7FlfccpwPl+FAvliZm3iSlqI1AuZUyhkmTcygREe56oD3w9XQeR4PcxMSEDh48qP/wH/5DHWm+613v0tVXX63V1dVajy7LTPr973+/ut2udu/erTNnzmhkZP3F05OTk/qn//SfanFxUf1+fwPLzXRR2gz71wS4nLfeelgayywj0x/pEBx5ZETLSDPblHumm0jid+OgS9IUvTTJOb8E4fGQycnJ6tJLL5VUBtdS6JDn5P7Z0nnpjZkTJJj6O/O9ZKpk7yU24NCT9dG5NC1Kss0sP9tdyo1ZyMRYVuYdh72A2Oelrtzm5eXlOtd5zz336NWvfrW+9KUv6YEHHtALXvAC3XHHHZqfn6+3nL32ta+t34ryute9Tvfdd58OHDigbrerPXv2aG5urn4I1ejoqD71qU/phhtu0KWXXqpOp9O4IMm7MNmPJlZXAtxh4WkTgPDWeUtT6mtY3Xk825K262MEa0n1XY7ve9/7ND8/rz179ujw4cN673vfqwMHDmhpaal21Gtra5qenq4fWDY1NaWnPe1puu2223T8+HFNTEzUoP+rv/qrGhsb0+LiYn0rO6Ma25LBjhHlMEbd9FuJ/ZbIA9dpcvtp1l8C5ozQ8tpsTxKbYe3NMthf9qd0Lct8zF6C8DcpTTkfsqzSxOBEznCJCi4xMxoj90MnwPO4b0XO+t2GZCEGAYsNMVm1pWn3gn/jJBqWHsoXGLMPPJbOaXp6WlNTU/rzP/9zHTp0SHv27NHnPvc57dq1S/v379f999+vBx54QK95zWv0oQ99SFdddZV+67d+S8eOHdNNN92k2dlZ3Xbbbfrt3/5ttdttffSjH9VznvMc7d+/X71eT5J0zTXX6EUvepF27NihT33qU/r4xz+u3bt3189zGTZZ8q+0jZJyrsyZAMKxPRc2vhnAu4xkhrmYy5tN/vAP/7B+nOu9996rG2+8sX6C5I4dO+qn/E1OTko6+5qxD3/4w5Kkl73sZbrvvvvq80ZGRjQ1NaXrr79eP/dzPydpo4N0n1utVn3bvfuzGXMsse4mwE1y4giRgNo0fwnKFhKYlEdzd+LfhGybm2ssHIAcPHr3ZI4lb5Usl9KUfmEZBjw+S8NGwjdycLCZdpA2PtGt1WptuBmB7TfDJ2izTSsrKwM7K1g/WQTbkKCft9uzf1z88THfENTr9dTr9fTVr35VL3zhCzU3N6eJiQnt2rVLF1xwge677z598Ytf1Orqqq699lpdddVVmpmZ0c6dO7Vv3776Jo3nPe95kqR/9+/+nW666SZddNFF+trXvlYzyLGxMe3du1fLy8v6oR/6IX3gAx/Qz/zMz2h5eVlzc3MDO4N6vd5AztvjzUipJCW2l3/chZC2RIeY5brs0i4BjglD/LTR7BOjLtuGt2p2Op36uSH79+/XJz/5SR06dEjj4+NaXFzU0tJS/Wo8b4G88MIL9Qu/8At61atepe/7vu/TxMTEQFQxOTmp17zmNXVbcgeG+7e2tlZ89nVKUwpj2PiQcPDmqnTQHJs8N8tkLr7UxtJYpDThCfVXsothx8/FSTxhmHYT2xx2fmlhqXS8lGpgGMbrS+dJg6vn+aLgLDOPpSF7Ymaem3V7RwlBhAbsz025RE98Og9GCTxuMO10Onr605+uBx98UGfOnNE111yj48eP65JLLtHtt9+uAwcO6MCBA5qcnNTNN9+s//bf/puuuuoqvfrVr9bU1JTe/OY3673vfa/+9//+33rzm9+s1dXV+vboW265pXYgZoTWf6/X05Oe9CT963/9rzU2NqaJiQm95z3v0a233qrLLrusZph0gsPkXFnUVoAmx3GYMIppkkwTEqz92S8tePvb365LLrlEJ06c0D/8h/9Ql19++YYtr945YtA+evSoTp48qZMnT+qVr3yl/vRP/1Qvf/nLa52/7W1v02WXXVY/htU7U7rdbk1O7Bjdb9rMMPH8HbaAmSBfijofT9nObHvb5bSlzfdm597izAGmwpvKK00MlsO8YdZtIbPLY3k8nx/sejMHXfK+LIvX8nguNKawLWZxDm0NBFxsom2cOXNGv/7rv65du3bp6NGjmp6e1srKig4dOqRjx47p5MmT9QP3pbM3fJj5vfWtb9W73/1uveY1r9FDDz2kEydOaNeuXbr44ot144036o/+6I/0W7/1W3rjG9+o3bt3q6oqnT59WlNTU1pdXdXMzIzuuece7dq1q74RxO2cnZ3VV77yFb3vfe/TxMSE1tbW6jakcJzp4PL3Jp1Rx8nunIqxs21KS2UExbbkOWyfI6SqquoH7e/fv19ve9vb6hfv/uIv/qKe//zn64ILLtDk5GTtzCYmJuq6zM4PHDigZzzjGfr0pz+tkydPamRkRN/+9rf1zGc+U5J0xRVX6Nprr1Wn06kZelUNPs2Rz65uytFSt6W8MK/htfxrYs0sZ9j5Wfaw9jJfzfnGtg+rp5QyK+mjNMdY5rCc9rYEbWnj1rUEVuamSqmIxwK0WTdZjo95sjIUb6qrVI+FE1hav4OQTNtsKVfQyXRYhq8rMYYEEwO30w2+SWZpaUmveMUr9IY3vEG333671tbW9OQnP7kGAd7lZuY1NjZW3ziztnb2ZQpzc3PqdDr6tV/7NX30ox/V1VdfrcOHD+t973ufpqam6p0Mf/qnf6qLL764vgHEQGF2eObMGU1MTEhafwD/8vJyDSSjo6N1Pvcv//IvtWfPHk1PT+vMmTOanZ2tn3NOu2lKnzVJSb9ZVmlO8Xg6/gTvtCWmRWZmZmrg/uVf/mXt3btXvV5PV1xxhX7nd35Hu3btqnf2+Nrx8XGtrq5qx44dOn36tI4dO6bnPve5+oEf+AF98IMfrO+S3Ldvn06cOKHp6Wm94x3vUK/X08LCwoB+/PYe22SujZTAOXUyDOwYMebx0lqR52CWw3ry92H1l8A0CdCwhcim/jX1Ift5HrQLZZWOc59yAjnrzzwpQTL/J+v3Z944w2MJwFz8ZIjr6wySCRpugxf1cgG1BCy9Xq92COPj4zp+/Lhe/epX68lPfrJuu+023XHHHXrRi16ka665Rvv3769BkLc0M/3E/Gu32633CC8uLupjH/uY9u3bp1e+8pV6xSteofHxcb3jHe/QFVdcoW63q6WlJV100UVaWlqq95B7f7Bfx+XUULfbrcP1TqejbrerEydOaGpqShdddJE+9KEP6eabb67L892C+b7ARxsGM6JpshvaCuuk3ppAm+30Q8YWFha0Y8cOnTp1Sn/yJ39SO8evfOUrarVaWlpaGmiD0xqTk5M6deqUer2eXvKSl6jdbusv/uIvBkhHq9XSxz72MV1++eW69dZbdfz48YHby/nkPNtgCaA3A20fp26+G9AufS/9di5MezuD9hMmp/14ihlj7vxI4+d3gjxZpweCoZWFzwa2cCCrav2ZwXxZLutdXV2tnz9stuNrDf4+x8eTgSTTnpmZUbfb1TOf+cwacD/1qU/pjjvuqBey9u7dq6uuukq//uu/ro9+9KN697vfrZe97GW1LlqtjQ+LX1xc1PT0tE6fPq0dO3Zo9+7det3rXqeqqnT06FHdcMMNqqpKCwsLWllZ0dTUlI4fP16z/tXVVX3jG9/Q05/+9FoPa2tnn//s/joqMMufnZ2VJB07dkxXX321fuiHfkhXXnmlbr75Zn3gAx/Q/v37Nzh7SimUbUqheDIbvIctZLnM3L0wzGEQ7Ays+/fvV6fT0X/9r/+11v0NN9ygpaWl+t2iHo9Op1MvFJ46dUrLy8u67LLLdOLECT3nOc+p3x3pxebjx4/rNa95jX7pl35J7Xa7vkGH/czXnfn/uTg+n3uu122lvL+J+r/Xsi2Zdon9kEWalZZ+20oaxNL08KNMhVDMIPnEsaaBZ1ibC6l5958ZD3crpJSek0GQKYXo2S+X0el0NDc3pyuvvFJHjhzRXXfdpfn5eT3wwAMaHx/Xzp079cpXvlLXXXed+v2+7r77bl188cWam5vTrl27dOzYMV1zzTX6/Oc/r4WFBe3Zs6euz2zW6YtW6+zbfBy2exfM2tpa/ZD+1dVVzc7O1jshpqamdNNNN+mqq66q2bsf4k9dOX/tPHe3261vBhkfH9fS0lINNN4Cd9ttt+k//+f/PPCclH6/r16vp+np6cYFshyXpvG3g89xSIee48NxstNttVp1hDU+Pq5Dhw7prW99a/3S3pe85CX6N//m36jT6dTnj46O6tixY9q3b189Fu12W/v379fu3bu1a9cufeITn9CePXvqG288Ju985zs1Pz+vycnJgTcnkVxwgdP9464pXkM2yZvESnlql5eY1JTWyGuGMVqWkTthaE8lpt70uVRH6sq/ldrF3/LzI+/ufOKkRx4v0M7yNgNtih/DajE78eQsga3b6v98/RiFN2sY5F2Hy2lqJ42ObXF7eG273a4Xsz772c9q165dWl1d1aFDh/T5z39+YDvgrl279O1vf1vf/OY3dfz4cV188cV1iO2Xwj73uc/Vnj179OCDD+r06dN12/ym7uPHj+vd73633vnOd6rb7dZtYl+qqqpz5J/85Cd111136ed//ue1tLSkqakpzc/P13uMv/GNb+iyyy6rF9nYv3a7rTNnztQ539HRUS0sLOjMmTO1I1lZWRl4FZu3yb3lLW/RmTNn6rxuPq6gZFP+XgLtkh1yN0eW7T8ydT5H2k/j27Nnj97xjneo0+lodHRUP//zP6+f+ImfqMv3s7Cls1v2HIH4+0tf+lLdeeedeupTn6qPf/zjmpycrOuxfT7pSU/Sm970Jj388MMDi9IEOdtXRokEcNqm+7sZaGf6xfJYgDZToNwSeB60H6WcK2j7f7LJzUCbzKi02yPPzXYQUP3ZK/QGcIfvXoRjnQR2gqqdUBP4U/J5w3zkKtmdP3s3xejoqObn53X//fdrbm5O09PTuuuuu+pdIM75TkxM6OGHH9a+fft01113qd1u69Of/rSuvPJK7du3T91ut7578f7779eFF16o7/u+79O9995bbwXcu3ev5ufnNTs7qzvuuEOjo6O6/PLLtbCwoNnZ2YEnGErSjh079J3vfEetVku/9Eu/pLGxMX3rW9/S1NSUXvrSl+oHf/AHdfjwYZ06dUqrq6uam5vTvffeq73zBMeTAAAgAElEQVR792ppaUm7d++udXLw4MF60W16erpeWJ2amtI3v/lNjY+Pa3l5uX6xbbvd1sMPPyxJuvjii3XzzTfrYx/7mKanp7Vz5051u936mR7e68w0QdNYZaqEC8tJFmiT/GwnOzExoUOHDumd73yn9u7dq+PHj2t2dla33HJLzaT7/bP7k/1+0qo6u6hsIHrSk56kpz3taer1errxxhv1lKc8pX5e9sLCgkZHR7Vr1y798i//sk6fPq3l5WV1u92BnLaBz3Ul2y6ty9A2ExQpydpLaShp481ypUe+NuWoE/xLrL7JMbB9vnYr+W/+XmL6Te19wi1EbhfQ5m+cSCzfXtzHki2zPRlOuw4bOn9vAm3mT82OWFb236Dt9uzdu1cXXHCBPve5z+nyyy/XkSNHdOutt2rHjh2am5urt4RNT09r3759Onr0qCYmJnTTTTfpwIED2r17txYXFzU6OqozZ87oE5/4hG6//XZdffXVesUrXqGVlRV9+ctf1te//nW9/vWv1/j4uDqdjk6cOKGZmRmdPHmyzqPu2LFD7XZbi4uL9WLlysqK7rnnHr3xjW/Uq171Kk1NTenLX/6yfvzHf1yf+cxn9JSnPEULCws1Yx4bG9OOHTvU6XT00EMP6fDhw1pZWdHs7Kz27NmjHTt2aH5+XlVVaWlpSZdccokefPDBepcL9WQGNj4+rvvuu69+HjVTOI5OfM2w8aI9nitoO6XhvP1f/dVf6atf/aoefvhhjY2N6c4779Ti4mIdVTiacFrFC7a9Xk87d+7URz7yEf3Lf/kv9SM/8iN63/veV9sM12Le+973qt/va2lpqb6Jy+XSxnxdCbQ5d3zuuYJ2iY0mQGZ5JeDL+ocxdp6bv2830P5buxBJcD0Xx8UQvwTwLq+U2qAkk2CYOkx8LkO+krPy/36/r7m5ufomic985jMaHx/XPffco5/5mZ/RFVdcodtvv10PPfRQvdOg0+no9OnTmp+f1+joqPbs2aPvfOc7+r3f+z3t3r1b1157rS655BLt2bNHX/3qV7W4uKjf+73f01VXXaWHH35YBw8eVLvd1te//nV95Stf0XOf+1zt3LlTH/7wh3XvvffqZ3/2ZzUyMqIHH3xQrdbZOyC9L9tvBf+1X/u1OiJot88+OdBpgaqqdOrUKR04cEBra2ffYXjmzBlNTk7Wi2vf+ta3dNFFF2lhYaHO287MzNSRgHPq3lHSbrfrdMza2pqe9KQn6W1ve5t6vZ4mJiZ066236oYbbqh3YpiFlkCb0RQf1tXkiNMuCOrek/2tb32rfnzqe97znvp2cwPzxMSEVldX62jAoD8xMaFer6d/+2//rX74h3+4XuwdHR3VgQMHtLCwIOnsYvSv/Mqv6HWve11th1VVDbwHssRkUzJVkecPs/EkOBamC5tSUW4nCVDW3ZTuYDubwJTt22yOPt6yrUE7maklBzWlaXIkgJaMIMG2BND03Jam/Dhz2LnlLqMHp2SyzWyT0yM+lm/XkdbZtXT2FVJ/9+/+3Xp3xoMPPqiRkRH9q3/1r3TTTTdpenpaL37xi3XLLbdo79699baww4cP69vf/nY96d/85jfrGc94hsbGxvThD39YN9xwg3q9nv7O3/k7NYCPjo7q7rvv1iWXXKKdO3fqq1/9qp71rGep2+3W+VLv8/aC4fHjx7W2tqYTJ07ooosu0urqqvbs2aN+v689e/boS1/6ktrttv7sz/5sYMfMN77xDX3kIx/R/fffr1/5lV/R4cOHdffddw+E8QY1A/p3vvOd+hGxrVarXrDctWtX/Z5EL4I6BWLw++Ef/mE961nP0mWXXab3vOc9+p//839qenq6fsRpp9Opz2f+2k42baLkcP29qs5ub5yYmNDs7Kx+93d/t37V10tf+lK94AUvGCifKTJJdXumpqbqveu2u+uvv752WHNzczUz3717t/7Fv/gXde7f/9MZkaC4b45QSmA+jF16LNN27UxLv1PcHt5hmamUYTnkbAvTlaxDGpyHOfeJC1shXiWGvhWHXp+7ndMjJdDeLHVSAvmm49LgVj4uHNLr8zqmQnKRr0lK5eVkKH0ulUMmkbtYKN1uVwcPHlS321Wn01Gn09H4+LiuuOIK7d69W3fccYd+8zd/U0tLS/rJn/xJ/cEf/IEmJye1srKihx9+uL6JZf/+/Tpy5IguvfRSPf/5z9fY2Jhe/epX6z3veY8uv/xynTx5Ul/72tf0tKc9Tc973vP0Iz/yI+r3z+70eNaznqXPfvazuvvuu+v0wNTUVJ2fnp2d1dTUlE6dOqWRkRH97u/+rlqtlmZnZzUxMaFXvepVmp+f14kTJ+pxWVxc1NzcnKampnTddddp165d+vEf/3E961nP0uTkpGZnZ+v0wujoaL1j5PTp05qZmdHy8rJmZmbUbp/dQ/6FL3xBV111Ve38duzYUe+maLVaOnPmTJ0zNih7S+LMzIyOHDmit7/97Zqdna3TMn6/oq8rgV3TkyCdM/e2zt///d9Xq9XSxMSEfuInfkKvf/3r67Hx2K+urqrT6dTs2+WPjY3p/vvv16FDh7R37966bbfeeqt27dql3f8/e28eJ1dZpY8/t6q6qrrWrq2r973TTWLCEhISNAq4oYiCgjCgLKLI6KhxXEdUQMRl/MyMC0wYHVyBAUVAEUVBliAEEkhi9rX3vbv2rau6u+7vj85z8va1qhO2mcz3N+/n05+u5dZd3/csz3nOOT4fxsbG4Pf7cfXVV2PVqlWYnJyUxhbqmjDCHFQsqmBdDEIoJ7SN2/Me8b6pOLmqAFRFUS7TcrEgaalzUbc9FhyymFVeTlGU+o1x8Fr+12La/51Cu9wxy+3bKLRLuXOljl/Ocyj1uhy+brTSVGsegARDaZ0Fg0EJNFksFrzuda9DTU0NPvShD0lg7y1veQueffZZ5PN5CUKtW7cOExMTGB4exhVXXAGz2Yx77rkH3/rWt7Bx40YUi0VUV1cjm81ix44dyGQyKBbnqXNutxt79+6Vkp6kBLpcLrS2tqKhoQENDQ3o7OxEJpPBoUOHYLVaxSpcvXo1EokEgsEgZmZmUF9fv6AtmclkQiaTwW9/+1v83d/9HfL5PEZGRuBwOPC6170O69evx/e+9z0UCgWk02kRxixNSibJ3r17hQdOTyabzcLlcsHv98NsNiOfz0sXcgoLliQgrJVKpfDv//7v6O3tRXV1Ncxm8wK2Cgc9JTUmoc4Lcq1NJhOefvppZLNZTE5OIp1OI51OQ9M0CRwXi0VRECqcUSwW4XK5MDg4iOrqajz33HO4/fbbsXXrVlgsFuRyOYRCIWzevBnDw8NIp9NYu3YtPvnJTwrOT869ygIxCmdjo2SjoFOF6WKCksP4+1JzWz2W8bi8fuPguVNhHkto89wXE7b/vxfadrtdb21tlffHEtr8rwoz9XfqZ4vtr9T2RgGrDqNVXk4RqMc1CnCj4D+WW2QMZhkFvDrZeI0UBAMDAwiFQrDZbFi9ejXe8pa34M9//jOCwSBSqRS2bduGhx9+GE1NTTj33HPxi1/8AsViEdFoFH6/X5gZFosFq1atwsjIiKSZP/jgg/jHf/xHfO9738NFF12EjRs3YmJiAqeccgoikQiam5tx8OBBDA0NiRWYzWbR3d2N/fv3C5zg8XiQy+UAQAR+IBBALBbD1772Ndxzzz343Oc+BwDC5AiFQpiYmIDX64XJZBJX/sCBA3A6naioqMDNN9+MWCyGTZs2Ye/evcjlcujs7ITT6UQ2mxVGTT6fF4iAyqaiogKTk5Ow2WyorKyUPyPvm645LVwK95qaGmzYsAGPPvooGhsboeu6CG8qXIvFIvsjBk1L3mq1wu/346GHHsKuXbvQ2NiIp59+Wmh93FZlLtEipTJLJpOoq6uDpmnYtm0bGhsbsXr1alRWVuKCCy7A888/jx07dqBYLOIXv/gFtm7dKrCI0aIsVeWvWDzax5PD+DujbFGFrAoTlsOgS61Do7AGFlIFywlT9VjGcy1lZfO9er2lrsN4HOO+1VHq3Mqd12JC+4QrzfpajuMRksca6oNULa9yg4vg1QpeqBNZPRfjOU5MTCCTyWBqagqTk5N4+umn8eMf/xi5XA4TExPI5XI466yzsHr1agQCAfzHf/wHli1bhpmZGfj9fsRiMbjdbui6jv3792Pbtm1Ys2YNDhw4gPb2drztbW+TQKCu6zj77LNRXV0tKdb79+/nxEMikRArp6enRyiRc3NzSKfTwsmmcP/DH/6Ajo4OfPGLX0RHRweeffZZ4RR7PB6hL8ZiMaEgVlRUYPny5fD5fAgEArj11ltxySWXYHBwENlsFr29vbBYLPj617+OvXv3YnZ2VihxHo8HlZWVUjWPlqzJZMLhw4eRyWSQSCQwMjIiAUiWpHU4HAuyERnYfOc734lbb70V3/zmN7F+/XoUCgX09/dL8SW18JUqECnA/+u//gupVAotLS34xje+gWw2C4fDAQCSNWu326WkKoPImjafyMQA9K5du5DJZDA4OIjR0VFs2bIFHR0dGB8fx7XXXosbbrgB8XgcqVTqb2CGYrH4N5g8Bc9i1uSxDEE1sLjYUAWxUSiXsrJf7ignnNXvTqRxzECkpml2ABsB2I5sf5+u6zdomtYK4B4AAQAvAvigrusFTdNsAH4OYCWACIBLdF3ve43O/yWNUkGFlzrKBQ/KfU7r+KWyVNTfqqPUpDK6mrOzsxgcHJQCQRRyY2NjqKqqQjgcRmNjI+x2u3CQzWYzVqxYAWC+iL7dbsfExARCoZDwqG+55RZ86lOfQkNDA5588km4XC7Y7XY8+eSTYu0+88wzKBbnm/lms1m43W7k83nBrcnkACCMh2KxCLvdjm3btuFPf/oTHnvsMXzmM5/BNddcg7a2NnR0dKCiogLV1dXCr/b5fJJkE4vFJJhIXNvv9+PKK6+ErutYsWIFOjo6JAZw8803AwB+9KMfYffu3Tj99NOF1sd7GgqFEIlE0NTUJLVWuKhZn5pp+s3NzZLsw6SeqqoqeDweTExMIBwO4/rrr0cikUBnZyduvvlmHDx4EBUVFcjlcqipqcHMzAycTidyuRzsdjva29sRiURQKBTwxje+Efl8HqlUStg0xHlptQNHrfhgMIiKigr09/djampKmCLpdBrT09N485vfjHPOOQdf/vKXpUM7n0Up75XCXLVojdQ2o2BdbNDSPtaa4HHKdVlSz+OVCu1SXHDe38XiVf8T43jYI3kA5+i6ntY0rQLAXzRN+wOAfwTwb7qu36Np2u0ArgGw4cj/mK7rHZqmXQrg2wAuOd4TUpkU6qBgKhWJ5gQz3mDj5+o+jmeUwt1UaMP4fSkrXj1f1RU6nomgBmF4PjyOEdYxuliZTEaEGq05k8mEZDKJubk5TE5Owu/3Y2hoSPDaRx55BOFwGCtXrsSePXtgs9lw6NAhSYgxm8247777kEgkUFdXh5tuugmZTAYtLS3wer0YGRlBJBJBOp1GNptFTU0NMpkM6uvrMTw8LNY1mREOh0OgivHxcTz66KN44IEH8Nxzz+HOO++Ey+WSKnYMHLI/pdVqlcBdVVWVCN2pqSk4HA4RcCyc5fF4kEql8OEPfxi9vb2w2Wzo6+tDV1cX3v72t8Pv9+POO+9EIBCQoCNxeKa68z4T0vjrX/+K7u5udHZ2SsKL2+0Waz2TycDlcgmjhQlL1113HZxOJ/r7+/HWt74VqVRKhKfFYsH27dvx4osvorq6Glu2bIHD4RAmCAUMoRkKcOLn09PTGBgYQFVVFTo6OrBkyRKxumOxGHK5HO644w5MT0+jpaUFc3NzyGazck/Vrval5r8qSNX2Y4utEf7G+PnxrAmTySTwkxoUVb83er9qCeRy0Eepz4zrdDE5cSwIxXj95Tz8l2M8HlNo6/NnlT7ytuLInw7gHACXHfn8ZwBuxLzQfs+R1wBwH4BbNU3T9BPRz/hvHiqmXu52vFL4hsPn86G/vx8ul2tBZcHp6WlMTU3B7XaDcQSr1Yp169ZJSdQ///nPGBsbw9zcnGQxnnnmmYhEIti5cydisZh0oxkaGkI0GsXevXtRXV0twTFdn6+JXSwWMTo6KkKFVj8DlMB8K6uTTz4ZPT09eOihh2Cz2eD3+/Gud71L4BYK7ueffx7d3d0YHx+H3W6H1+sVgW0ymeQcXC7XAiuNha/cbjc+/vGPS0bg7Ows7HY7MpkMDhw4IAwZpuuvWLEC+/btk5onXJzT09Ooq6uDy+VCf38/4vG4xAPYs5G1wVOplJQ4DQQCmJ6eRiqVwqmnnorf//73CIfDiMfjCIfDCAaDuP3227Fy5UrcfffdWLlypaSyp9NpYbZQaE5MTEhzZJYUqKurk/OkorRYLGhsbEQ8HsfFF1+MN73pTdiyZQvuv/9+HDx4ED6fT/B9cp4JaanzF/hbllU5AWfEsMvN8VL4trqNmompUgw5VMHNazYOY1xIVSK8HhVqebXW4WsxjounrWmaGfMQSAeA2wAcBhDXdZ2h2iEA9Ude1wMYBABd12c1TUtgHkKZMuzzWgDXAgub8p5Ioxzk8Ur2xwlaTsO+GsexWCyora3FgQMHUCgUxMpmsMxqtWJiYkKsVGLNuq4jHo9j1apV4loPDAwgmUziwQcfFGHECb98+XKsXr0ad9xxBwKBAMbGxsRK5fXa7XakUimpm00GBBNmMpmMWIQXXXQRbr/9diSTSczMzOCFF17AySefLIHVYrEoGZHMgmQX8f7+flRXVwtDRo03qCyHubk5tLa2Cg4dDodx2223ibAnVJDJZFBbW4sVK1bgYx/7GF7/+tdLyzQWZ3K73SgWjxatSqfTUsgpnU5jZGQEdXV1ct8IFfH8JyYmsHLlSrhcLmSzWfh8PsTjcdxwww24/fbb8frXvx7pdBpf+cpXcNZZZ2HNmjXyLPfs2YPTTjtNWsAVi0UMDQ1JgtDAwID08NR1Xaxim82GVatWYXx8HE8//TT+6Z/+CePj4wgGg3C73Xjsscfw29/+VoK+FMiqMCO7RJ2zpeZ0KeNE3YfxfTmIRd2vSvXj7/mf1vpi3rj6G/Vz1co+0cdxSUtd1+cAnKJpWhWABwB0v9ID67r+QwA/BObZI/zc6KqUcpmoccsNdR+LwRCl4BTjb9WHqJbfVC2NI9fzN6/V/fMzunDcf6lJrZ6P0WowHqOUVVEsFuH1eiVphowJtZiSrusYHBxEXV0dDh8+jLa2NiQSCSQSCfz1r3/Frl27hDVBazSbzWJmZgahUAi9vb3o7++Xmhy0AhlMnJ2dle1nZ2fR0NCAnp4ehEIhZLNZwbJnZmYwODiIYrGIdDqN5557Dj09PRgdHcWhQ4cWMFa8Xi9sNhuGhoZgtVqxdetWrF27FmazGY2NjXA6nTIv4vE4KisrFzRZYIMAdsOhoGttbYXD4cDk5KR4IlarFQcPHkR1dTVaWlrQ19eHpqYmWCwW7Ny5E/X19XA4HNKth9ZgoVBALpeD0+nEX//6V5hMJsHjiXv7/X5pTJBKpaScaiQSQSKRQH19PT73uc9B13UMDw9jcHAQ3/ve99Da2opDhw7h4MGD+PKXv4yxsTGEw2FpyksYa3JyEoVCAY888gje/va3w+l0wuPxiAJnwPTDH/4wNE2D1+tFJpNBb2+v1E0HgGuvvVbWoYp3GwUqlSGDrMZ1yPW0mFA0Wrql1qdxnfH9sQS9qjwW83LV/S+2LssFKxeLlS1WOVL1VI4HkHhJCLuu63EATwBYC6BK0zQK/QYAw0deDwNoPHJCFgBezAckX/VR7gJpVb4WAYRyNJ+Xiv4cb9Cm3O94LsbJzu/S6TRCoRCWLl0q2WWpVAq5XA6RSATJZBJdXV0YGBiArut49NFHsX37dqxZswZ2ux2rV69GZ2en9GCcmZn5myQTh8Mh2HkymUQ8HsfY2Jjcd5/PJ0JUbRjAoKUaRKqurkZ7ezvGx8cFkvF6vQDmGRWRSARDQ0NCISQuz1T7ubk54WrTyk4mk0gkEtB1HZWVlSgWi5iYmBBBGYlEoOs6stksqqqqEAgE5HxdLheamprwq1/9CvX19Vi6dCksFgvuvvtu1NXV4S9/+Qs+/vGPIx6PizIhlk1sub+/X5QWGzyk02mkUimMjY1hampKOqATigoGg9izZw8sFgvcbjcCgQCam5vxwx/+EH/84x9x++234w9/+AO6urpEECcSCczMzGBgYADAfC1xr9eL1tZW7N+/XxJ9mK1J7jf55VS2JtN86YGhoSEcPHgQl1xyiUBaagVIekp8TfZKKbYJRykMuJRgpAArRavj8V4O0srzKcXjPtZ4tZhfr9Y4plTTNC10xMKGpmmVAN4KYC/mhfdFRza7EsBvjrz+7ZH3OPL9468Vnl2O7sPJ80pv9mJa3PjdSxXCL1dol3JVja4lu4xccMEFuP/++/GZz3xmgdVCoVZfX4977rkHp59+OlpaWlBbW4t9+/bhhRdeQG9vL4aHh2Wxq1xdWq3EPsldJt+ZHkgymcT09LQIJlqkhCuYIOJyubB9+3Z8/vOfxxve8AZcfPHF+NznPodLL70ULS0tCIVCaGpqgsfjQTgcFmXxrne9a0FNEpVHzeAfAOETDw0NCQPF7/djxYoVGBgYwJIlS0RwMWhHwWGz2dDa2ioewjnnnCMJSIcPH0ZfXx9++tOfor+/X/Bs0glPOeUU6bGYTqcFly8UCiIMgXm8fXBwEM8++yx2796NmpoagTMqKyuxZMkSzMzM4L3vfS++//3v49Zbb0V7ezve//73Y926dTjjjDNQLBbR1taGubk5rFmzBvl8Hrquo6amRpQcvZ+pqSl4vV6pdjg4OAin0ylexY9+9CN4vV4sX74cV111ldANSS80BsLp8dFYUhNTFltPxm24LzUXo9Q+Xg6EQXnwcgw5XteJMo6ZXKNp2grMBxrNmBfyv9R1/WuaprVhnvLnB7ANwAd0Xc8foQj+AsCpAKIALtV1vWexY6jJNepDMUIXRiodH4K6nTFIwt+q3xs/X+w4atr6sT43bmM8tvHBlwpKlqthop6net6lAicUOKtXr8YXv/hFuN1unHLKKYjH47Db7dLIIBQKwe12I5lM4vzzz8dTTz2F5557DrFYDKlUCj6fD06nU7qeABDBU1dXh3g8jnQ6LWnhtLKIW5OxQUzXZrMhl8tJ7WqyPywWC5xOJyYmJhbci2uvvRbt7e3weDyw2+1wuVw4dOgQ2traJBhaU1ODXC4n9brz+bxULGSNE6/XC6fTiWg0CrvdLud80003wW6344EHHsD09DRMJhM2b96MWCwGh8OBYDAIj8cj+K7ZbBZWCmmKtPYdDge++MUv4gc/+AFGR0cxOzuLrq4usVJnZ2clMDk5OSnXqDZh6O3tRVdXF6LRKBKJBLxeLzwej9zfZDIpAthqtSIajeKrX/0qRkZG8Lvf/Q41NTXo6+vDxMQEzjzzTPT396NQKEhNFyp0Kh273S7rh5mSfMZ+v1+YRxMTE8I4odfFpCYjvmw0lIxwp5Exor7m3OZvymUvqjALX/M8SkEXxu9L7VM9l1LGoOoplIIzjMde7J4czzavqMqfrus7MC+AjZ/3AFhd4vNpABcfa7/lRilBWm4YMx2Nn79cV+q1GsdzLqW2UScogAUWcymrg5+xqt3555+PBx98ELlcDuvXr8dtt92GlpYW/Ou//iu+9rWvIRwOo6enR4JqhUJBAnMsa0plUlVVhUKhgMnJSYE3iNXOzs7C4XCI5cV+hX6/X/jKxNQBiMU9PT2NdDqNZ555Bj098/p9cHAQhUJBgpsulwsApKJde3s7TCYTDh48KC5/IBDA0NAQampqkM/nJYMwn8+jrq4O9913H6qrq1FTU4MXXngBn/70pzEyMiIUOfaYZAcdwhqJRGKBJU7vY3p6GqFQCHV1ddi+fTtOO+00OJ1OKda0d+9e8Uhqa2sxNTUlSUKkPdKKTaVSeOKJJ7B79268/vWvRzAYRDgcRiKRwOTkJNxuN+LxOFwul9QVCQQC2LBhA7785S/jwgsvxMaNG1FTUyM0w8nJSVRXVyMSiYjCYHCRz5OUy2KxiP3792Pp0qUizKenp3HgwAF0dnZKEa1sNrugEXQpSEMdRqHKOW6EFvlnjPO8Em+ZRkQ5RVIKH+d3qiFWTmC/klHK2DrecWKxxo+MUkklpUa5bUpZvCfCUDHoctDO8UAuKt5XTshbrVY88sgj+MIXvoCVK1di3bp1WLp0Kb773e/iox/9KFpaWvCRj3wEFRUVWLp0qQi5QqGAN73pTUilUmK9qmUv1QavdrtdKvJxG1b0s9vtwvCYnJwUt9nj8cDj8aChoUECV7Ozs6isrMTzzz+PUCgEh8OBlpYWdHd3Y25uDitWrBCLlEWKCoUCRkZG4Pf74fP50NXVJbBJW1sbamtrkU6nRUBqmoZ3vOMdWLNmDaLRKFatWiWd4mtraxGLxWCz2bBkyRJEIhFks1mYTCYkEglUVlbCZDIhHo9jYmIC2WwWhUIBhUIBqVQKU1NTaGlpwQc/+EEpbhUKhRAKhTA2NoZ8Po9gMIgDBw6gp6dHAru6rsPj8YgiaGlpQSwWQzabxfT0NDKZjJROZTEqejx8HslkEl/60peQzWaxfv16AMDFF1+Mj33sYzj//PNxxRVXiGWvKn3Wy3Y4HOLtdHR0CK89Ho/D7XYjFApB13XccsstkmzFY6tQiQprlJv7pYR0KQGuro9XMtTEIONYbF0ZlZH6m1djvFLhf8IIbeONUjHpcgK4HN5spAVxlEvc4TFKHcc40TiICxstjeN5EKUi4jwHI1atskXUYWSmGP9YZzoSiWDz5s0wm81497vfjeuvvx6rVq3C73//e/T19aG+vh7xeBwzMzNoaWlBoVBAc3OzJGUwGYeF8XlcVg0kk4eCJxwOo6qqCpqmSQEpm80GTdOQz+cxMTEBi8WC0dFRgQaCVdkAACAASURBVEycTicqKyvhcrmwe/duaJomyTe0pm02G2KxGBobG5HL5ZDNZmG323HVVVfJ/dA0Dddcc408g6amJkSjURQKBfh8PkQiEcRiMZx11lnSpefMM8/Eb37zGymMtXPnTjmfXC6H8fFxjI+Po1gsSmCQxZtGR0fR19cneDXnRCAQwOjoqDSceOqppzAyMoKuri5s374dPT09SKVSOHToELZu3SqlYxsaGnDllVdKvRiybHRdFwWhJr5MT08jHA5jdnYWd911F/bt24cvfelLaG5uxrZt2+DxeDA5OSnp/OSlk63CLM/p6WkRxPF4XFgm+/fvR3V1NUwmE0ZGRrBixQpUVFTglFNOkYQXh8MhHhPntvGPAp1zk0FNBsiJGZM8QCiK3oARvlQ9aaM3XWrbUqPUelfhR+OaLrWuywl37qPUUNd3Ocz+WMrBfOONNy66wX/H+PrXv35jVVWVvFcv2IgZl9qm3Hvj79SbbMShjRNA/c1iEES5cy13XvxMfXjlzvd4rnGx4wAL20Tt2LEDw8PD+P73vw9gPhC4ZcsWBINBeL1eDA4Oor6+HsXifNeTs846C1u3bhUMlYpQnWysCEhctKqqCiaTCVarFcFgUJoGqBmMhUJBmA8MtpGitm3bNmzbtg3j4+PweDxy7OHhYbS2tiKbzULT5oOfDQ0NePTRR3H22Wfj6aefFpZEJpMRNgRLqxLumZub70QTi8Uk0Wd6ehrxeByaNk9/I/UxEonAZrPh8OHD0vOysrJSIA0mI5EuyMAqMA/5MINz2bJlAObjFe3t7eKl1NXVYf369VixYoVkI4ZCIQkQWiwWSRJiowgKv3w+vyDzb2hoCPfeey/S6TTa29vRcoSmSOrj6tWrMTw8LMrLZDKJ8lHbqPFYLJpFBpDJZMKZZ56Juro6bN26FfF4XM6ZDBSgfM9G/i8lqIxrsNS8LifIjGuZ/3ks4/HUdW5cM8Ygv3rMcq8X+6zcd8dzfclkEl/+8pdvKrW/EzOr5b9hGNkURkycQ8W01JRy9aGWwsZOlMFrcblcaGtrg6ZpeOMb34iNGzeivr4egUAATzzxBGKxGC666CJEo1GpENfX14dTTz0VBw8eRCqVku7dDEIxMAXM389cLoeBgQHpGs42Z+l0WpJSyJwgzpvJZKRoPylxhw8fxujoKP70pz/B7XZjbm4O1113Hc444wzs2rULXV1d6O/vF1zZarWisrIS73nPe7Bz507pk1hVVYXR0VF4PB709fXB7/cLu8Nut0tDBJ/Phz179mD58uXYt28f2traJMXebDZjYGAAXq9XBBX/2L3dbDYjEAjAarUilUoBgFQwnJubk9iCytphJ/g777xTWBkAcOqpp+Lhhx9eQJukVetyuSTmYDKZEIlE4PV65Zouv/xyPP3004jFYtiyZQvGxsawbt06BAIBdHR0IJlMIp/Po6+vDz6fDz6fT+iJ8XhcStEyWDk9PY2+vj4MDw9j6dKlyOVyqK2txWc+8xnk83nce++92L9/v5QALjXKQYAci0GcpbYvNUoFIdX3pQR0OU41t1N56a8FdfiVjBOmNGtzc3NZC9PICTU+hFKsDONv1d8b973Y5+pvSzFW1MBpKYvBOEGN51bK6lZhj8XwfeO1lRqlrAmyArZs2SJWNesyv/e97xVIIZPJYMeOHTj33HPx3HPPYWxsbIEVQxiKFLuZmRkJlFmtVsFtC4WCJOmYTCb4fD4RZgyAmkwmtLS0YN++fTCZTJKVyHvOBJWuri5kMhlcdtllCIVCSCaTqK6uhtfrRSwWQzqdRlVVlRSOooufy+Uk+5PeB4N5f/3rX1FZWYn6+nrouo7x8XHB0CsqKrBz5040NTUhk8nAbrdjbm5OGkwwWMtA6fT0NLq6uhCLxTA5OSl9MPP5PBwOh9Q0obfAWtgUnn//93+PW265BRUVFfD7/YhGoxJQJWOGQcBsNouGhgbY7XYMDAzg17/+NQ4ePIjNmzdjdnYWS5YsQSKRwO9//3v09vZKLZVcLodkMilVGs1ms7BrAEhglOdbW1srLJlwOAyv14tkMgm73Y7169dLiVvuy9jxhvOwVPDN+FkpuJP/OU/UbYwwaCmognNI/a5UcNEIdagGmrpP429VOEUd5XDxcli6Ov6vR+SrOMoxVl4uB/S/c6j0LqvViuXLlyMajUqZ08rKSvz617/G2WefLZmEa9aswUMPPYREIgGXyyXCjBOZQplWL70RFiIiTABASqAODg6KoqD1brFYEI1G4XQ6pVlBOBxGLBaDy+VCLpfD0NAQkskkUqkURkZGcNppp2FiYgI+nw+JRAIXXnghRkZGsHbtWmlATGWYSqXgcrkky3N8fFzOm3RCwiVkYFB4L1u2TPDksbEx1NXV4dChQ1L3hJmWmqahuroa73rXuxCPx3H//fcLNFVZWSkBP7UwkxoMtFqtuOuuu0QZOhwOjIyM4I477sD111+PeDyOUCgEk8mEXC4ncAzbqMViMfT19WF0dBSapuHHP/4xWlpacPDgQVESrBE+Pj6OWCwmmDbjB3Nz823ITCYTxsfHReGZTCYpRavCW62trejr6/sb2u2rMVeBhdmGfL8Y3FDKCCUsxrlQrjKgamyVC2CWGqUE/Ws5/s/SfomW9rEw7FIWd7nt/ycsbQCSuce2VQ8//DCsVive/e534yc/+QlOPvlkLFmyBA888ABOOeUUbN++HZWVlfB6vdB1XVLWeQ4UMsSSOYGZfUa8lK2+gKOQlN1uRzgcxvDwMLxerwTF8vm8HCeZTGLFihXo6+vD9PQ0gsGgFJGikqipqcGKFSugaRpOPvlkvOMd78CWLVsQiURw2mmnSe3pRx55BOeee65Y3SrvemxsDA6HQxguPD+m2bP5MetiMxVebZLAbU4//XTkcjnpHM+YAD2QfD4vsAeDciwBwOdGHJu4Mzn2DocDlZWVuOOOO3DBBRcIvv3Zz34Wt9xyC/L5vDQfpjKlciH0kUwmUVlZucBiJQ++sbFRArGhUAh2u11gLXo/zB7ds2cPvvvd70oNbz7XxSzP47G0eV6lSsAaedrlKH3G/avblrKSX66lbXyvrr3XwtI+oYQ2Rynhpo5ymrycAFa/U4+h7ktVCAy8lAtCGs9DjZCrikc9l1LuIn9bTviWEvyLnUe59+rk5P448TVtnqbndDqRyWSQSqUQDAaxZcsWOJ1OLFmyBL/73e/Q1dUFs9mMTCaDbDYL4CgPlsJZ7aRCAcS6HxTshFN4LhTouq4Lo8NisSzggauWDxVHoVCArutSx6NYLGJwcFAYHjU1NaisrERXVxeuuOIK7Nq1C8FgEAcPHkQ8HkdfXx/e+973orW1FY2NjYhEIhgeHkZ1dTVGR0dx8OBBdHV1oaGhAc8//zwaGhoQjUZFOFFAkbNcV1cnjYJvuukmjI+Po6OjA7FYDN/85jdht9uRTCZRKBSwatUqyTa1Wq2or68XCh7vg9ruq7e3V6o1UhBXVFTg4YcfRldXF2pra3HppZfi0KFDyGQy+OUvfylt4AqFAqLRKMLhMIB5jJz9H10ul9Q5z2azCAaDQm0MhULC6CH0YbPZsHLlSjzxxBPQtPnkKZ/Ph89//vMAsIBFwnEsgWWcp2qcyChMS8WQVIG5GD3PKLBLKQN1qKVpjdur57EYq8R4fsZtyv0WmBfa+Xz+/4T28QhttUaG2j9yMSofhfzLFdqlPi91zi9lP+r36iQvJbRpddNK6u7uxl/+8hfE43FJRmGtD5YsnZmZka4zXKzEidWi+WqyhIpL8p4Wi0Vks1lx23O5nFAM1Wvwer2SQMNnQhyYC4DChoE6wh+hUAjV1dUAgPPOOw9Lly4VSt7MzIzgtbFYDG9+85sRDAalscLWrVslI5PcZV4rrWT+kav+gQ98AMViEV1dXbj++uvxoQ99CE8++SS+9a1v4cMf/rCUrCXUcdddd8FiseCTn/ykCG02ZLZYLNi7dy88Ho/MRwaBZ2ZmpIztL3/5S9x4443IZrPo6enBY489Jhmh7e3tcDgc2LdvnwQzWRCLCsPpdKKnpweHDx/GqlWrBNbJZDLo7OyUe/mjH/0IDz30EHK5HM4///y/aVVXCo9Whd+xrMzFLOCXKrTLWeDlhHapz05Eof1/mLZh6LouBXwYnHM6nce0dssN1ZV7qfs4lqV/vPsgl7rcoHULAKlUCtXV1XC5XJiamoLf78f09DRmZ2cl+y+TyWDXrl0COeTzeWSz2QWJMqzNTAuSLcFUYceGCKwfks1mpe60qiiJ4drtdvlPPJiQi9VqRSKREE44MzlZI+TAgQPw+Xw4fPgwfD4fWltbsX79esF1GxoaEA6HkclksGnTJpjNZlRVVcl/ppATUgLmPQt2kqHCs9ls2LBhA7761a+itrYWBw8exJo1a+B0OrF3715UVFTgyiuvxB//+EcJiO7YsQPLly8Xo4EBUACCfQPzSpD3oKKiAqlUCna7HWNjY1izZg28Xi8eeughvPGNb8T73vc+PPjgg9KF/cc//jFcLhfWrl2L6elpSfihJ5RIJGC327Fy5Uo4nU4poDU5OSmJQcViER/96EexdOlS7Nu3D7t27cJ5552HX/3qVwsEnHH+qYK41DbHGurvjicP4v/1cUJZ2qXwXeBv64kcC/M2jnLYsfodv2cQx2w2Y3h4GA0NDdA0DcFgEACExsYIuQpvUBDR2lQpgsBC7L0Ujm20hlVMzXg9xsBnuZoltHYXs9hVWCgWi+G+++7Dhz/8YQwODmLp0qWSlcfjUHiwzgj5wLRIyE7h/VCzKPlHRoQaaOLn/D2ZCOzowmtWixK53W6pYc3eiWrTB7JLZmdnhW/NTjAMrM3MzOCtb30r3v/+92PTpk1YtWoVGhoacOjQIfT29kpdatYcZy9JTdOECcPjVlZW4vLLL8ett96Khx9+GA6HAx0dHVizZg26urqwb98+bNmyBW1tbVi6dCmuvfZaXHrppTjppJNgNpvlepLJpMBHExMTkpXJqoEq/356elqaH7CG96FDh3DmmWfC7/djZGQEn/nMZ3DttddidHRUFO3mzZuxdu1aaJqGuro6LFmyBFVVVUilUnjmmWfwl7/8BSeddBKampqwdu1a3HnnnViyZAmWL1+Oxx57DJ2dnaipqcH69eul7O/xYLjqUL8zWtTl9mPEtPl9KXikHE5dyhI27oOvVXiu1DUZLXh13b9UPPt/HTzyPyW0+T8ajWJgYAAVFRVSBY1F5ru7u8XiVmlotCCJ1bKLCmsqq1aYOsrh1Ubhrf4vdT/U/ZUbpYS2cdIR4kkkErjsssugaRp+9atfiVWrwirEkMnXJiwSj8cxPj6OaDS6AKOli6tinmp2JRkthEp0fT69mxRBtc4FsV4uEN6DYrEIp9MpAryiokKel9vtxszMDKam5vtwEBMeGRlBNptFfX39gipwTU1NeN/73ocPfehDApNYLBY88sgj8Pv9sNvtcLvdiEajkk3qdDrhcrkkGecLX/gCrr/+emzevBlOpxOf//znUVdXh/7+fgwMDKCzsxMXXHABLr/8cuzfvx/XX389UqkUEokEfvazn+Gzn/0spqampOECa4YAWBATYFd2wkS6rsNms8FsNkttk0KhgKGhIWHEWK1Wyea86KKLMDU1JTAQ53FlZaVUc9R1HQ888ACuuuoqRKNR/Mu//As0TcMZZ5whwWfWaD8eSKTcPHw1hLbqoan7ezWEtrrvcoHJV0toH2kDeGIL7cbGxgWfcRIAR1kUamW9UqOUwFO/W0zw08pmBbpcLodgMIh4PI7Z2dkF2X1cDLOzs2hpaUE0GoXP58Pw8LDwcZkO7vf7kUwmJbjEBUVLvdS5GKGMcsK5XMAROEpBpFVKoVhqaJqGPXv2YGBgAGazGd3d3di+fTvy+Twuv/xyKQhl9ATUe67+2Ww2JJNJvPDCCzKBmYBByEKNA6i4tOplEN9V4QI1QEQlQvZEKpWSJBRN06QUrK7rYhmzeS5xYypWFmYqFAqoqakBAMHM161bh49+9KM444wzkM/nhToXi8Uk45D7S6fT0gKsqqoKLS0t+Id/+Ad84xvfwBlnnIFvf/vbMJlMuPDCC/GlL30JGzZsAAD8/Oc/xy9/+Uts2rQJdrsd9957L9atWwcAGBgYkIYJtLh5H/lMybYpFAqoqqoSTjZx9sHBQSmCZbFY8Nhjj+Guu+6Cy+XCm970Jpx22ml48MEHpa/nypUrhd74+OOPo6enB/v27cM73/lO+P1+JBKJBXOxFIvDCI2or0ttx9eqQaKyUVRBeCyMeDFLu5zgNF5DOUu71HmXEs7lFJgK9ZSLly3GHjkhiMWqy2wstk4XUeX/Hkt7v5zjq3WjVThA0zRhDMzMzAj3mGnOPT09Epij1cUiQ4cOHcLzzz8vApH8Yxblean3p9Q1q5anOlTaoMrwKDUqKiqwZ88epNNpSbrhOT755JOLnptxAem6LjW0zz77bKxYsQJutxsul0uoaoRWCKXw3vNzdbFQ+DK1mp4Lk3lY/4LUQZ/PJ8KfSR/T09OiZGnhE3Jh0DMcDqOhoQFNTU2Ynp7GyMiIVC3cvXs3LrvsMixfvhx/+MMfEA6HYTabEQwG0dHRIQkvkUgEs7OzWLp0qWRBDg4O4hvf+Aay2Swef/xxfOELX8DPfvYzJJNJnHrqfPHMgwcP4plnnsG2bdtw0UUXIZPJwO/34+qrr0Zvby98Ph8aGxul1RuVjvF5W61WUVhUivQMC4UCAoEAamtr4fV6cfrpp+OBBx7AxRdfjF//+te47rrr0NPTgzPPPFN6VQ4NDWFiYgIPPPAAUqkUPvShD0n7uFcaa/mfGi/lvF+ta3y179UJYWlbLBa9o6NDLEIKGuBvtSDrEy8GgwAv3dIGgEOHDiEQCEjdC9atYM3pYvFo9hsj66y3TGzU4/HA4XBIcSKLxQKTyQS/34+qqio0NDT8DZxzLEu73EMnVEGBzHvHRQsc1fIqlGAcg4ODUuDf4/Hghz/8Ia677jrY7Xbs2LFjQWKCet7Gc1Y/o+KlANc0TdLT0+m0UOZ4HUbFRCiESSsMlhIuUTFwHpeUOHo1fOZUBmpXeu6LnGaTyYRsNrsgu7GmpkY6zJPdAszT5iYmJuD3+3H33Xfj1FNPlWp/VB7xeFwUfF9fH7xer3gEbW1tYhXX1dVh//79WLVqldQtP+ecc3DvvfdixYoVuPzyy/H444/jF7/4BQCgra0Nzz77LFasWCH3DjgKN7HhL0sEMHagpvET+vjnf/5nnHTSSYKnNzY24nOf+xw2b96MdevWwe12w2QySbVEpt7zOkjxVOejajWq1qXqHalWK5/ja21plztH9R4uZjm/HEu73P7/n7G0Y7GY1GkeHx/H6OgoxsbGpBNJMpnE6OgoAXpZ+KUCEbTAjMLfGAjkIIzg9XrR398vdSbYeHZ4eBiJRGJBqU+yE/L5PBobG6XJLKETt9stlg8xbjIPVExOHZzApTp/GGEPAFKUn/CR2iCZFjiPxf1RadFSKxbnexPu2rULjY2NSKfTiEaj6OzsxObNm3HxxRfL71Vs3nj/1MqKxEXJKaZl29DQgDPOOAPnnXceOjs7UVFRAbfbLTWmiQcSyqCX43Q6MTc3h3Q6LbVKSA3k9ZFJwt8Si2dlO2LvZE5QoPL5VFRUIBwOw+PxyH0ZHR0VzJvewtjYGPbv349CoYBkMol3v/vdaGlpQXNzM6699lrE43EsX74cra2t+MAHPoAXXngBZ511Frq7u7FixQq0t7djYmJCBPTk5CS6urpw3333oVgsora2Fm95y1sQDocxMDCAa665BldffTVqa2tlu6uuugobNmyQBB/WLmloaBA+teq9khaoziNd17Fs2TIsXboU27dvRygUQj6fx2WXXYY77rgDJpMJmUxGYC0WlaIHRgVIiKqU0KKVz2dqzGvgfVZZQup/I/PKGDwvFatZbKjHKRecV2E/4zDmVBj3y9dcG4vFsdTzV/d5PCjCCWFpm81mnW4dXV8GXug2c1FSGNE6UlOriRMzq87n8wFASTyXn/EGUhAfPnxYtN/b3vY2PPbYYxJwo7CjhUE6VU1NjVDKdH2+ozkLCcViMQSDQWGitLS0iJBVWSdUKipPnIPb8/5o2nxKcl9fn+Dlbrcb2WwWdXV1mJ2dFT4zq9IRu6Uy46JKp9MYHx/Hnj17AAAbNmzA1VdfjaqqKnznO9/BRz7yEVx00UULrHd1lAuk0iUntGG0covFonRh2bdvn/R2VBsqUFGovHm13okKAREOoXAgDOVwOABAgmvAUeuNlikr6pE+53Q6hWUCHDUCpqamxLsCgEwmg2g0ivr6eoFaOEe+853vIJlMYvPmzfjTn/6ElpYW9Pb2YnR0FG1tbVi3bh3OO+88nHfeeaJIUqmUzMOmpiaZv29/+9uxefNmXHHFFfjud7+LfD4Pm82GF198EV/5yldw22234fHHH8ddd92FJ554Ag899BC6u7vFA2TlQ841fr5p0ybouo7f/OY3+Pa3v43Dhw8jl8uhubkZN910k6Sqq4pADSarno7a85PP3GQyCdbPdW3sdqM+v1KWqHEdqJ8bLfljWdrH2l+57Y9lOZc6rvre+P1i18rfLxaIPCEsbQpcFuBRBSoDTbquw2q1SlF2tr3iQpyenpbmsrRiVAFBbW/EzFkjA4CwC3gDiWWreHChUJCaE3Q/x8bGkMlkMDY2JgExLkAGkGpqaqTONK1LVQnQujY+POAo1ECrJB6P4/Dhw2L9Z7NZ9PX1IRqNYnR0FBaLRVgDqsVNLH5wcFD2V1FRgYaGBqkRcvXVV6O9vR2ZTAYf+chHcO6554ogLOXGlQrqzM3NYXx8HMB8gIzNdblw2X2GdS6WLVuG0047TQQM74txYauLR7XwiFXTgs5kMtD1o0FMzgV+Z1x0DCju3r1beOJsOEBBxWSWZDKJqakpJJNJWK1WqX8yMjKCVCoFr9eLdDqN3t5eJBIJ1NXV4VOf+hSuuOIKXH/99fjABz6A5cuX47nnnsMtt9yC5uZmrF27Fn/84x+haZpQATmPIpEIOjs74Xa7pXHvwMAANE3D1q1bcc011yASieA///M/8fzzz6OpqUmeNe8TE5VUz8tqteLNb34z0um0UPaCwaCk4dtsNgwODiIYDEriEA0X1SKlEmUaPjv8cK3RGyAXn1i7MTGJfyciVl4OTl1s29fyOk4IS9tkMukqfY4WGK1CcnA56Rh8ouVGBgIAsSLUmg5q3WNagMB866xYLCZ1kicnJ8WSmJubkxKm6qBlwYlM64/WCBVJNBqVhraVlZWSVWgymdDf3y/JKw6HA8uXL8fQ0BDa2tqwf/9+LFu2TIKvmUwGW7duFeZKQ0MDRkdHJeGEx2EnFbvdjpaWFqmixzKkY2NjCAQCyOfz8Hq98Pv9kkA0MTEhlfEikYgkjRDXN5vNqK2tRbFYxMjIiGTyEbbg8ynl5rLGxvj4OGw2G+rq6kRZVldXIxqNinXO53X48GEMDAyIEuf9Va11NTUeOFq9sFQgW6V8svA+z4/lYhmvYE9GVizk9ZlMpgX1xtPptJSvpdERDAaFM33aaafh8ssvX9CujIpP13Wpma1CGJqmoaWlBWNjYxgeHsbExITAb5/4xCfgdruRSCTw6KOPYuPGjdi2bRuefvppTE1NYe3atbjhhhtQV1eH2tpaDA0NoaqqCsFgEJqmIRaLyXVbLBZ4PB50dnZKk+C2tjaMjY1Jks0555wja21ubg6XXnrpAkHE2AJbq3FNqaQBPgMAApfxt/SqGHjmfaFy4FpRITnVkFOhk1KMD6MFbjQ6FrOojYYTj1nuGMZzMH5X6nfqdqW2OeFrj5hMJp0JC4QC1PofnCAABIulBatpGlwul1iKuq4jFArJwlVrJxBuUZujMhqfTCbFcubE6erqwv79+/8GE+ZrTjhNO0olo2tPayYcDgv+zgnB6my0PABIXWQK0paWFinMTy4ugz/t7e0YGhrCzMwMBgYGRGjTA4hGo/D7/TCZTJKCzfvDIky8RxQavb290HUdzc3NGB4elsYGmqZJYwPW9mhpaUEgEJBtyO8FIJ4SW3mRNsau3xaLBe3t7UJ/TCQSC5JTmIrOPo4HDhyQgkXkcBvT4zkfCKHRSuf3rK5HvjcxYN57PkebzSb1ufk5YQ/ef84/BuOqqqpEYRA/Hx0dlSDxunXrsGzZMoRCITl+MBjE7t270dDQAOBo0HVmZgYWiwVer1f2k0gk0NzcjJ6eHjidTvEGP/7xj2PZsmXYvn07AoEAbr/9dmzYsAFerxe/+93vpJ9koVBAIpFANpuV+jHsCzkzMwOfz4dCoYDR0VGYzWbs3LkTb3jDG7Bq1Spks1l0dHRI+dxbbrkFIyMjwuRhXIcVCgmPUDGygbCKH/M6OVdU4UvPlGuVHjBHOaHNewgcpYSq8Mj/Ce3XYFRUVOis6cA0XWJwTFiw2WxS1Y2CDYAsPqZa0yWj5a7WhfB4PMjlcgKveL1eAFgQXNF1Xaw/l8slNDgOCnDj/yPXIdYJMdGLLroImzZtQrFYFLe2pqYGExMTgu81NDRIjeKJiQlJLOH+WW3NYrEgEAhg3759As8wok/3va2tTTBspom73W65PzMzM4jFYtLR3O12iyeiClx6HalUCoFAQKxJKlA2OqitrUUoFEIul5Pg3OHDh9He3i6cX6ZJ8xlOTU3hHe94B0ZHRwEA+/btE2Wk6/qC+hiPPfaYZEkSa2ZgV3VF6WkAR4O1RtYBLXMV7ikW59klFDTG+AJddovFIlQ7KjpCM16vF5lMBoFAQErYms1mDA0NiZANh8Pw+/3SVaampkZiIAAETqNwnZmZwcTEBKampqBpmtAK6V21t7cjm82Kx8Zz1DQNa9aswZIlS+Dz+aQzz7Jly3D//ffD5XKJkM1kMjJnW1tb0dvbi3g8jpaWFqxZ+/igOgAAIABJREFUs0YgyHe+85149NFHcdJJJ+GSSy5BPB4XSIQKh8dW0+6LxaPJUrz/AGTtqsKUMBRf03vmZ9y+lNBWIUCVjbIYS+N/s9A+YWqPsOA6kxcovBlMoqvMm8FWTsDRh08LjA+IliuDW8Q8mSlns9mEmqXrurh5fPDsVELBwOMQhzZirDwXWnChUAhDQ0N4z3veg5///Oew2+0IhUJSwY4wQX9/v2Td1dTUiNCkQNZ1HZFIBA6HA8FgEA6HA83NzXjxxRcle5P3a2JiAsDRNmMMRI6Oji6o/eFwODA2NibCcGpqSoQSy5bS8mTDXHZz4aJjtThmzk1NTWF4eBgDAwOycClkp6amYDab4fP5BLY5ePCgeDwAcPjwYXR2dopQjEQiSKVSUv2P2Xcqi4Gd48fGxhZQ/mi9q0wcVcHS6+KcYPwCOBrw5POh0cCmDoyxsNAWhdj4+Dj8fj+2bt0Ku92OtrY2uN1ujI2NCSuqr68PVVVVsNlsCAaDCAaDaGtrg9/vX5DZODU1JQH1WCwmis/hcMDn82FychITExPCrqmrq0MqlUIul8Ozzz6LjRs3wuPxSGLON7/5TZkr1dXVqKiokLjDwMAA7r77bpx00kkSG5qdncWFF16I9evX4/zzz8cHP/hBuV7y13n/VDYG16TRUiacpSZ8qZ/zN6rCpCKlR8dtVLaFKpCNgXLVOzYKzFIBQuNQmTalgonlhlH4l9pvOcVyPOOEsLTNZrOuFsNnI1Y1k5BRaHKniVV7vV54vV5Eo1Hk83mxpIiFz87OCp7ICUIhMzk5KR3FU6mUHI+RcPKruWjYPooKQI2kq0khuq5LrWKPx4MbbrgBn/rUp1BTU4OxsTGx3G02GzweD6LRKOrq6jA5OSn4MCveVVRUSDEmAGhpacHExITUR6a76nK5EIlEkMlkhCfM5rh+v1+ocgzS+nw+VFZWoru7G0899dSCGs9ut1vweZNpvvj9nj17wD6es7OzYk0Sd6+rq8OBAwck4EfLq7u7G8lkEn6/Hx6PB/F4HFVVVTj77LOxfft2Ed5kHJD9Qorn2rVrsXv3boGpqMSrqqqkuw4LGNGzUoW0KrSNGCkXC+EsCgRacYRVVKudSoNCgp8ba7+QHz04OAiTybSgmUA6nZYFSphFrbfd1dUlc4RehdvtRjAYFGXOjjf0fKanp9Hd3Q1gvtmEzWaTFmjT09OIxWJoamoSJQAAjY2NwnDhPT3nnHPk2vP5PH7yk5/g0ksvhd1ux6c//Wk0NDTg4osvlmAvW8UZyxIQxiJzhMqb16Ti2JzbvPc0OMxmsyRH8T6r1FKgfKsxo6V7vEK7lLBVz9G47fHsu9Q4ljdwwsMjJpNJp6VJzJDCU9M0JJNJwW2TySRmZmYE92PmGRcBLRUVb6bLpvb24+KmUiD7gNgnMenGxkb09/dLgJHV69SSpMD8QqWbPTc3B7/fL93H169fj1tvvRXA0QfMmhJ8aG1tbUgkEgvOha2zGMzMZDIIBoMIh8NwOp3o7+9HX18furu7MTg4KDUwuCh8Pp8ILjZfDYfDmJycFOt1eHgYlZWVwh9mzRCLxSL1lMfHxyUQCEAolsRFI5GIJF3Qq/H5fHA4HJiamkJ9fT2qqqokWYNWFLH3AwcOyMTt7OxEIBCAz+fDb37zGwwODooSVMu1ql5EbW0thoeHARxl2vC/im+ri119r8ZOiLWXomSqDXBVaqEKo9CCJ93RZrPB6/Vi9+7doph8Pp+UR1AbRajcZ1VAsWu9x+OB3+9HS0uLQAdUHLOzswKJ8VxzuZz0rbRarWhtbYXX60UulxPvaenSpRgfH5d+mADQ3NyMYrEotdVDoZA0fnA6nQgEAnj66afFGyU0w/PhfnguFEgU4Op3qkBkPCkSiYjxwHnFZ6Za5lxPr4XQNspFo9Aud0z1WIuN//VC22w266TA0SpOJBLCcCgWixLMU6u5cVHRhTWbzfKQKVxZLc3hcMDlckkpTkIwFCBM3lBTvk0mE6688kr85Cc/kQarKkuCVpzVakV1dTXsdjui0eiCwlEAcM455+DBBx+E2TxfFW/ZsmXIZDKYmpqSYBQADA8Pw+/3S7DS6/WKVah2hWlvb0csFpOqdTfffDNuvPFGCaQC8xxyWmmEfAKBgAhfv98v+LZqKTGg5HA4oGka6uvrEY/HBaqiALBarVLtju2p2NWEkAa5vawB0tLSIorD4XCgt7cX0WgUtbW18gxSqRTi8Th6e3tFKZaiG1KJqiUHSg01g1bFumlx8zuVZULLkOdOy5qCWWWxqNUeeQwylciYIN+bx7darSLkpqenZc4Q6iCDhwuaa4LwA71ANTjNtaOep8p8oWJxOBywWq3w+XywWOa7vTc1NXEdym8GBweFphcOh4U+S6+kvr4ekUhEYMhwOCxwWTKZFP498XYqegCS5cp7wjhKPp/Hvn37EI/Hkc/n4fF4EA6HUVNTI3DU3NyczDNjAh2weNEpfs//FM6qklRHKRybr0vtl8qFrBq1MmU5KKacVX7CY9q8Yaxr4Ha7ZXGolDpaxpxAfIAOhwPhcHhBwSA2kg2HwzIheAMpTCn4Va3PJAwu6B07dkgwkL/lTWdqM9kTtH5mZ2elqavL5cLOnTslQQiA1LdgJ5NYLCbeQDQaFSFH7JKuajgcxtjYGAYHB5FIJMR6qampEfqa2kA2m82KMLRYLEgkEigWi2hpaQGABQEpFvhXU8ddLhei0aikdZOmRk8gn89L1icFDfFpCia6516vV5gRe/fuFct+2bJlch9efPFFqRGtMkTUSU6hR+vu7LPPxubNm8sKb5VfTGtaTX1X963is/SqKNBVgcWFplp5VAKcKwx0UzjT+6HRQR52JpMRzJZ1a9i8GIB0cWd9G8ISxWJRAtBsxMuAMtlJNFzovRL2sNls6OnpEWXNbZjiTqueUBAtX9IjLRYLxsbGZJ0SEgPmBTaF8GmnnYbdu3eLd0Hvqq+vT6AtKkV6vmrOAjn+pIlSwakt3DjX1MSpxeSMUZir88CIlZf6PX+jlokgu2tqakq8TRpcVqtVCA/HO45lSJ8QQhuAuNoqVpfL5RbQrhgQYpSdE4YZbcQLdV0XAW6z2YSyRvfaZrMJFZCBFeLcXJxckIlEQjLg0um0LExWcQPmBUM6nZY+gR6PRzq8RKNRFItFnHfeedi4cSMsFgs2bdokOCeDemwoMD4+LnUqpqamUCwWMTk5CYvFIok0nKTMbkun0+JeE+OPRCLCqnA6nVJilFYM78HY2Bh0XRduMhUjrfZYLCYCgveVAo0xA8JQVHjE4Rmw5bk3Nzfj8OHDwnqhVxONRlFRUYHm5mbs2bNHnivvJ++xCmXw2QSDQRFwpbJJjQwSo5XEYBcFGoW8GmhWYQtgYQYrvR8GylUhQJbHoUOH/ma+q0rAYrGgo6MD/f39sFqt2L17N5xOJ3w+H2pra4VrXSgUEAqFZH4w1gMcDQrH43HJ3mS9HF4DFQSfGRUC2U7qPaNiU61EBrBpyXMtcrumpiYxqACgtrZWBD6fTVdXl2SQMrjr9XrFanY6nRgeHsaOHTsQCATQ0dEhLJShoSFZa8YyBcVicUGDCuMoB2nQO1JjHcahCng1BjIxMSHlFICjQXcA0tleDWIfzzAaKaXGcQttTdPMAF4AMKzr+rs0TWsFcA+AAIAXAXxQ1/WCpmk2AD8HsBJABMAluq73LbZvTn4uXlqsdH+9Xq+4YyzUo06sYrGIWCyGRCIhk0HFwJm4QCuHGpXCiS4mXS26ocViEYlEAgCkIBRZGlQy/D07rwBHG9pSSZjNZtTV1QlOl0gkUFtbK/WTnU4nnE6nCP65uTmEQiHEYjF4vV5p80UBFo/HMTc3J0KGGp4uJAOQtM7sdjuqqqpQUVGB7u5uzM7OIhaLSYutbDYrigmABHZZ10QNvBJWISafz+eF5UL8mDAUaXj0Al544QXouo6JiQm0trYim80iFouJBWW1WnHqqadifHxcUrvVRCsKA7rJVVVVshhoKTJ4xcVlXAAqlAEcTQDiUANqAAR64DBCIsS51UWZyWREoLJTeTAYlI7pFKacw1SK5557Lrq6upBOp7Fx40bs2LEDQ0ND4s34fD5EIhFJjuHzpTfJUhCBQED44yoMoCYj8T7x/lCoE4ajdU8aJQ0G9TfGMTw8LPOF65Jwm9PphM1mw65du1BfXy/Yd01NDUKhkFSBbG9vlxo1LpcLfr8fv/3tb7F//3643W5RSmoRMMZf+J4ep5qko94DNVmPz4s1joB5aJHGo7qmeaxcLicFvwiXmkzzyWa8V7zP7NFZW1sL4GhfVeZNJJNJ6Lou8C0V6WIew0uxtD8FYC8Aru5vA/g3Xdfv0TTtdgDXANhw5H9M1/UOTdMuPbLdJYvteG5uDpWVlWhtbZXuIPycbhJxMovFIlqstrYWTqcT1dXVOHDgAGpqatDf3w8AImDYiYNuH4UrbwoDnXTlaZUAEOudVp3dbpd9mEwmjI2NwWq1ora2VlpzDQ8PLwgQcaKwGiAA8Q4YPItGo4hEIsLfdrvdmJyclOQh4mMUFCaTCQ6HQ7jKLFJFYZRMJhEOh7Fv3z65F+RWT05OIhAISP9HXqvH4xFO8ejoKFwul3gzZJpUVFRgcHAQFRUVaGtrEyu6p6dHkoOIhft8PgwODmJubk44xgMDA1ixYgVmZmYwNDSEiooKycJjwa2RkREpblQsFqWkLSETdV50dXVh79698Pv90njhE5/4BG677TYR8DU1NbJwuHgbGhoQj8cRCATQ09Mjz0kV3uWCScbFxAXIKoQMmnIe0ctIpVKCXVOJ5vN5xGIxVFZWIp1Oo7u7G7o+n3yzbNkydHd344UXXkBPTw8SiQSi0agYH/RC5ubmhA3CeTU5OQngaMCYsQwKVDJ+gKNUWwDCSOI8ZXVGNRuV94a/4VqlkmXmJRUdoRqys8xmMyYnJ2WuqkqQZXtPOukkCV5PT0/Lc963bx/8fr9AIcDRQPPg4CAKhYLQYrlGmWugQmMDAwNSD5yJVlRGhGh4f8leoaFAD5MMICpsPnuuMxXSTSaTwrZSvTLCswwa08NbbP4Bxym0NU1rAHAegFsA/KM2/0TOAXDZkU1+BuBGzAvt9xx5DQD3AbhV0zRNX8Tm13VdsFv1ZGdnZ6X2ATMWidmx0D6j8DabDVNTU6J1NU0TK5b7oiamK0yLx2QyoaGhAZlMBpOTk7DZbJJ4QPyUWDrhEjJEOPkLhQLGx8cFu9b1+czMeDwu/FtOgrq6OkxPTyMQCCASiSAYDIrldfLJJ8t1plIpjIyMoKamRqh6ZK3Y7fYFyRy0rq1Wq1D/PB6PFK6iJR2NRpHL5VBbW4tsNovu7m7Mzc3XAAkGg1JaFoA07s3n88JZb2xsxMjICEZHRxEKhSQISwoeBbmu62hqahILqKJivrNNbW0tdF3H+Pg4pqamxDUuFAro6+uT7Wmt8prZCZ0WdT6fF170lVdeiX/7t3+D1+vFG97wBvzgBz9AKBTCyMgIuru7pSY4BUl/fz86OjoWlBqlctU0TeCt4xm0nNSCTKo1TyHNxUxsdmJiYkFQjM+grq4OANDd3S11tcfHx/HQQw/JPtlRCYDwxIlV08pjtimD44SBzGazwCsMjANHs0bprdASpUIjfELhpXK0OSwWC8Lh8AKrVK3QSOu4UCjI/aBnxk720WgUzzzzDIB5pXHSSSehu7sbQ0ND0LT5xLS+vj6J4zAOQ+6/1WpFLpcTL5feAmM1hBJVtg/LXtArpLDn+RFSI91YhSOpcNTkLB6bChaAZP4STlNjTWr9ITXmVm4cr6X9XQCfB+A+8j4AIK7rOvc+BKD+yOt6AINHJuOspmmJI9tPqTvUNO1aANfyvXqjORhZJh2JWCKTPIh7Op1O7N69Gx6PR4odkS7HQCOFNiPsAETLVVdXY3R0FJWVlZIhCBzFOwFIZp8aJJucnITP50MikZBAZUVFhQjZSCQiGWjpdFoscAYriLerAdJEIoGRkREJdLAkqKZpEuyjhZzJZFBVVYXR0VE0NTVhZmZGSsqyPsjs7Cyam5sxMDAglQAJtVgsFoyMjCAcDssCTSQSYvmyQBKZBiysFAqF5J6SJulwOJBMJpFMJlFXVydBVeL0R545fD4f9u7di2KxCLfbLROXAoT4otvthsfjwejo6AILm9Y/ceDa2lrs2rULwPzC2Lt3L772ta/hpz/9KaqqqkRge71esXoAoKenBzU1NZJtyhhAZWWl0Cx5rGNhjKr1rQa5CRFQkdFgoCWm6/O875qaGoF0SMGkVV1RUQGPx4OPfOQj2LBhg5RLUGErFiKj9UaIh5AWvQGelyqQVKaJfoTCR7iSSofbqUKa0EOxeLS6JgctVjVr2e12i6XJ4KMK3agYNdf+9PQ0nn/+eRw8eFDa/01NTck6oaGSzWbh9/thNpslU5iQEg0x1kSnwcPnRnYN1wMFNucarXN6GjSueN70qNTSAGpylno8Xr9KrqDABiCKlHOl3Dgm5U/TtHcBeKeu6x/TNO0sAJ8FcBWA53Rd7ziyTSOAP+i6/jpN03YBOFfX9aEj3x0GcIau61MlDzC/zaInQRyVVdTUi2dHDmrIvr4+WCwW+Hw+TE1Nobm5GePj4/IgGfBgMad0Oi1Rfi5c4rXcfm5uDpFIBGazWSYH65mQ7cKJRi1MlkUikUAgEEBnZye2bNkCXdelghxrGBsfFHFtJhPx2tRgC2l1tNhpxXMC5nI51NXVLcBnWSu8UCjgTW96EzZt2oRAIIDq6mo888wz8Pl80riBlEuOmZkZNDU1IRKJYHR0FK2trbJo3W43IpEITjnlFESjUYyMjCCZTIrrzZoozD6lhzI0NIT6+nqEw2FhCtDqqayslGAuU8L5LEwmE8LhMN7whjcsSMefmZnBjh074PP58Oc//xl+vx833HADPvaxj6GzsxPRaFQW/ezsLFauXIlIJILq6mrs3LkTuVwO7e3tAuW81kNVCB6PB5dccgnsdrvUDKEQyOfzwr546qmnsHPnTkxNTYnQUOvpWCwWgfFUd5xGBQ0LlUHDQauQ3/P5EvdX64tQ4KoBYpVRU0quqJa7eu78nXo/VHhJZXbQImccik0n2traFgTm3W63eIwU3FSaDF5SmQKQ9yQsqPg/oTMqYCozFU5l3EaNU5A6yuvj2mUAn/vhdirf/8jxXh5PW9O0bwL4IIBZAHbMY9oPAHg7gJoj1vRaADfquv52TdP+eOT1Jk3TLADGAIQWg0fKCW0+RAo0WnRMNydGxhoLc3NzYiVzcubzeYFI+F1dXZ1Y4gBEYNOypjtFLJdVAKk0aOnQ0uQEZzutaDQqASpaS6wtQvyRVfQY/aebS9oWlcnk5KRMPgZAWTGQwdrBwUF54Fzsnv+PujeNkTS/yj2fWDIyMiNjyVhzqazK6qqu6q5eveClvbXBduMNEMyMxkIwY8TcD2hAIFl47hfEMiNdjfwBRpaAQVd8uBYMBsnMFca0jDfaNnI37r27qrsqK6tyicyMyIw9t8qIeOdD1O/EiehqYwwX1bxSqbbIN973v5zznOc85/xTKetVcunSJTt7sN1u61Of+pSeeuopPf3005b4IgFCJv7g4ECFQkGRSMRQHxwcTgnDjJNBIpdKpdRqtaxlgEddQRBYogxJJhWR0CAs/kQiYQcFoEjhOn/+vM6fP698Pq/j42OdPn16pILxj/7ojyx/0e8PThn6zd/8TaONPve5z+m9732vnn32Wb31rW/Viy++qKWlJWtd6znOf26PvNna9deb3QPEubi4qI985CPq9/s6ffq0Vc5yVilAAmrhz/7sz6xfSS6Xs7mhgAUUKg0jAYwJKgeMkdc8YxD5GY8s6ZLJuxDFAh5wGncaN2+kx/+fNeeVPDgV3gVji5SXfdvtdlUsFu0dyA3xnSjCyIsAKLAF3IMj6VCg4SR4FhKzaMTZ93wPRtf38MFQ08YXuwHVyn48OTkxWS1zcBsU/mg67SAI/qOk/3j7BR6X9JkgCH4+FAr9paT/TgMFyf8k6f+9/SP/9fbf//H2/3/9Bxnsf+7CE9IbgsSLP5GkXq8bSqDij2wt7S19eENFGAe7QlcEQaBsNjvSkwTvCxeIcWKikL+lUikdHBwY53zmzBnrF+KdBfzuwcGBHbRarVYViQzan4Zu63yR7aXTaRUKBatK9OqayclJbWxsGAfvu9fBI0qywiCQ71//9V/rypUrSiQSVpXYbDYt4oCn7XQ6VvzDmYqURPN3z2NzAv3BwYHxl1RosmhZ6I1Gw9p6Tk9P23jncjm7H4t/amrKaA2Sa/QnB+VjmDEsqG9wKL/yK79itE+tVlOvN+j5Anq6dOmStra2jB9F7UHSLBKJGIUHgIDnxRCNh84/zIX6Y2trS5lMRuvr61pbWxNtHWgPS7UqDu2XfumX9Id/+IdGH0rDIiQMIlp+Qn8uz7lzmAgGHUTJ+mH+QqHQG3h7flFjgOE/PDy03kB8f6fTMSfCWZck/HxkgLEkT0CSl7YMJN3L5bKJACKRiAqFgtrttgExImkoOPY9eTMSlZFIxGoDiATg4VF4QGV4xQoiAMYTJ+NPa/J9lJgfaNHJyUl7HhwRlcjeMd7RJv5QK+vO12cl/T+hUOh/l/ScpP98+9//s6T/EgqFrkmqSfoff9Qv8EoOZDqgZ0ImBqzT6SibzZoqAmNEybk0ypGz0ba2tiz7S0i1t7dnCwSqAIPZaDQkDUtu/WL19Au9HwhPq9WqHnnkEVMr0Es5HA6b+N7LEw8PD40WIplFhSEGbG9vz5JYPC+abgwvCRR4MxbDxYsXLeTt9/vWopNkCUna69evW6+Sra0tnTlzRtVqVfl8XtevX1en07GiGear1Wopk8nYWEgyA4BmPBQKmZFinG/dumX3lWRl+L6IgqZbCwsLmpiYGDl4IBaLqdVqKR6PK5FIaGdnR41GQ7/8y7+s3d1diyQuX75s75jP522ztttty5/gHBlLNl6hUNDKyore9ra36caNG9rf31e73R5Zs9LQMHpD/mbXBz7wAX3xi1+0NqxbW1uWaMTRIBuMRqPa3NzU/v6+PvjBD+pv/uZv3nA/ELBXYbEePIL00kfGhrWN8eC5cVCsKcaM+3F/1rZPyJM4BZjMzMwomUyqUCgYCPDUABwxRpKCMWR4RJJBMNB1U+4uyeozQM3QGT4Ry7+jWmMv8p6sY6IRHxVg1DHmntIhSseB813QLfF43NYbCX6oEvh1oovxSM1f/yKjHQTBNyV98/afr0t6xx0+cyTpv/+X3PfNLjYsaJWkA5pp+DZ0m3hzsv/onn1CCb6o1WopmUzaKTIHBweUjpoRwOBCx+zv7yuZTBpHhbHFQ5JZJpGBsYZzhFt88MEHzeBKsk0JT8n7cCjuzs6OpqamDGHTyxoqJR6Pmzokl8vZgk+n09rZ2dGTTz6pUqmkjY0N5fN5bW9vj0QAqVRK6XRaL730ki5evDjSMQ90RUP9SqWiM2fO6OWXXzaOs1gsWvFOv983eSPVkBjRqakpLSwsmGPFYTI/sVhMzz//vC14wmH6pff7fS0tLWlzc1Nf+cpXFIvFrF/LzMyMfu7nfs4io83NTfs5NPBUfr700ku2KU+fPq0gCNTpdLS4uKiVlRV7JpJd0sCh0pODJHQ6nda5c+dMmtnr9Qwlk1wtl8sW8bzZ9cUvflGSdOP26UMbGxv6mZ/5GSsegnZgc0OPIVX1BhoH4QuecNj8vzQ8PHo8gYgR8Zwxa5sEMD/DfopEIioWizpz5ozuu+8+a8lLxWe73R6Jmur1uvHr0BuAE94HCoEE98nJiS5duqSXX37Z1jgJ94WFhTf0dbl165Y6nY6pWRgXEo+0P8Y5Ea1A4bDuqRWBvpFktsgXJxF1AKzIvYDsafmAXUG26CkTonfm703t4r+Cufg3u+C0xzP1VFex6NC/osZg4cG9NptNowaOj48tNA6CwLgoFAygClAI2XESjdwfGgbJWy6XkzRaJQU/TnhEH+7p6Wk7aovwGskaTbBIYKBWgHKBHyNcBXHNzc1Z4Qo8MW095+bmTEVDAY4kSwSSzIV+mJ2dNac3Ozur7e1t8/KoU0iaEnoynp1OxxQqqAdwVnRNxHiRyJ2amrI2qoSJPH8ymdT3v/99hUIhXbx4UYeHh1pZWdGnPvUp60Xy3ve+V08//bQKhYJeffVV64PCPIKWe72eFhcXzUF/+tOfVqPR0LPPPitJunz5shmNJ554wopgNjc3rTeNr4JEleA35sLCgnK5nKampjQ7O6vvfOc7Oj4+1iuvvKKlpSXNzs5aebrnVLvdrra3t7WzszOiC5ekc+fO6T3veY/q9bq63a5WVlY0MzOj973vfcbPvvbaayoUCpqdndU3vvENffvb335DMy2vp36T/XbHfyOKDYVCVpz1nve8R6urqzp9+rR+9md/1tYUhnd/f9/K5X2BCXQEob5H9exboljyPPv7+5qZmTEqhAZVkoxGWF1d1dHRke3NYrFofXBwImjGceD0YWf9Y4DD4bDq9brJVzmODhuCU6R1M7w6BUjVanWk34jXantET+0CyrJr165ZV01PMd0hD3D3NowKhULBzMyMcZ6EChD1hGF0sYMfRUeNUefPHvmwaTg5xDuGw8NDU2cwkYRpmUzGJgDOK5vN2gkvFEjgWamAw1NjrAjD4IChWkqlkjY3N5VMJq2JPnIljCNcIcdc+aZRkUhkpANfNDroZQG65FnQtB8fH1upNGNMaAknTDjqKSQUNnNzcyMN7dvttlV5Hh0dWfJWGvY0IYufSqWUy+WMSrly5YqhM6iXcrlsiUuSbZL06KOPqtPp6MEHH1Q+n9ezzz6rWq2mRqNhyDgWi+mhhx7Sd77zHX3kIx/R17/+9RHt64c//GE9+OCDevXVVzU9Pa2vfe1r9szz8/N617vepatXr5q80PP9FTaZAAAgAElEQVT0tAEAycViMZufUChkTvz+++83PfQLL7xg2uNMJqODgwOjcdikkqx45L777lOtVtOLL76ocDisV199VQ8//LDuuecelctlpdNp40GvXbumj33sY4pGo/qLv/gL67DoL1CjR9j+zzhez73zTF4O+9BDD+mxxx7Tk08+aWvk13/910dK/Pk51qrnpHF8fIfXJEvDKkz4XwAKORj63oP4idokWRtlIk10z7wTeSwSgzzX/v6+AQguEqEoT7rdQadBfoZaAewJe5UqXtYCzdfGC5nguLvdrtVmBMGwdQS0r6dFbiPyu7dhlCST0MGDhm5rhpkQih2obsRz7+7uWrURicNsNmtN9z2vS6IOQ+aTjIj0JyYmbCD9PUkOgozh3XxmnuY7kuzZKcXOZrM6ODhQqVTS2tqaWq2WRQIbGxuGWjGUJNUODw/N4N13331aWVkxY0Jiqt1uGz+G54eTTaVSFp776keilfX1dePS8vm8pGGZPAb35GTQfjWVSimZTKpSqWh+ft42HJvTf+fi4qIZwVarpfX1deP4pWFVHWgM40hITA/lw8NDzc3NaWNjQ9vb20qn03a6z/z8vK5evSpJevnllxUKDbrPTU5O6iMf+YiefPJJTU5O6qtf/aq+9a1v6ezZs7p48eKIAdva2lKj0dDLL788ItUEVaGuwABQdozxobCr2WzqypUr2tnZ0dLSkvr9vp0nmclkrPFRu93W9va28fX5fN6Mxtvf/nb1ej196EMf0sLCgr773e9ashVnC0VBgpTycmlYgu9lc3e6xnnYOylk+v2+Xn/9dd13331W77C5uakvf/nLeuyxx0ZUHui6fXKOe/tkHQYcyoCoBfqC6BiD6/llcjagdNomQG8AuHzEgZ7by/HC4bCdGASFRTIa6gT+fWdnZ6S2g8QoShIoSaI9igABjzTcwoExDnwPz82zwr/73MMd5+9uQdrJZNIMMhvZh3d4KwYKzhgjCw/pTxgBJVIswT1BsQj6MXbdbtdCKZKaJAd9vwIm1me94b5BAywuPsvGLhaL9v0YAJ8UoTIT5QMIC014Op22xI1PLlEizSK7devWiBYddAiaRS6Jozg6OjLN9Pb2thlVVCc4CqoIQ6FBsQ9zQ9JOkiGIk5MTpVIpCwMJe2/P+UjlGIsZBHhycqKPfvSjVr24uLioy5cv6+LFi/ryl7+sjY0N++5SqaRyuWwOGKN8zz33mGKB03sODw+1vLysbDartbU19Xo9vfWtb9XXv/51G2eiGdYTjnCcUpKkfD5v62p+ft6UMOyrWCymjY0NLSwsqNfrmQEkbKYdq09cIgf74z/+Y3MWv/Zrv6YvfelLRg3htH/v935PGxsbI0YXR0Myjl+sXfhjaDD4cugq8jUgY3Iu3e7g3EqMC1QeVAPRLdwxqiE+i4H1YMo7cWmgLKFykSQluY1QaNCozVOT47pznBbKD4AFiUzsCGDLjwMX+xNQdnR0pI2NDWtBDPXJfLHuiVZxwozBxMSE6vW6OZmTk5MRVoH58Ib6dkvluxdp413wpvQriEaj1s8ZI8KJ2VAo3W5Xn/jEJ/S3f/u35sHgtGmNCopH+sRAQaP4qjBCXAo9CH/guEHgS0tLVvF4dHRkG94jbZ4TXg3Ej6GXZHwnmmeSoZOTk0okEsaJSwPkhKEEfVDyzgED8OKTk5Nm3JEUgbihWeCg6VgI2llcXDQ9K+objG4+nzfDxxFmJPtols9iX1pa0tbWljXxTyaTKpVKxinncjml02nrN+M3db1e11e+8hUtLCzYAQLd7qBP+ac+9SnblLduDVq6JpNJXblyxebg5OREhULB3jUIAj3wwAOSBgm/eDyu8+fPWyQSBIEuXbpkMsDj42OjrnAQyNBw9pcuXVI4HNb999+vlZUVq4yt1WpKp9NWPXrx4kWbU3jSQqFga8XnYUCfdGN84okndO3aNUUiEX34wx9WoVDQ448/ri984QsmA/QUob8f2l+MGU6eSAInT1Wr10r7w6fp2Li/vz+iGPFoWRrmh4hUkfZ5pQoghXkGdfNdcOQYf6S7oFm+x1OmvBf7X5JFbFAVgDZJhrrZm/yOY6MTIoCm1+tZt8ajoyNLnHrduyST8mJnotGonXdKzg3eG8DE7z5C8YnRO12R3/7t3/5hbet/s+t3f/d3f5sXgzukn0W/3zeDSZjiKwcnJydVLBaNJ8IA4r0oiiEjjPIEI+sTHpyCQhjsEx5QCmw+OC80vxT+UMHGBoCrYzFCq3S7XUMV0WhU9957r+LxuFXsgYqnp6dVqVTUarX02c9+Vk8++aQZ7EceecQaCXW7XX3yk59UtVq1MZuamrIQHuojl8sZwu/3+1aVSXOgSCSiRx99VC+99JJpmkFZvB9Ze68Nj8fjmp+f1/b2tm2Yc+fOaW9vz4x4t9vVI488otXVVXOGDz74oLa3t7W4uKhbt25peXnZJIHJZFLvf//79eqrr2pjY0PlclkPPfSQXnzxRf393/+9yuWypEF3uVwup9OnT+uJJ55QPB7X1taWLl26pLW1NdPxb29va3V11Q6g2Nvb087Ojq5evap4fHCKDxwq6Jo5wPHBUTKnvt8Hx4FxkAE69eXlZUOORF0YKowljgPEizEhYnnwwQetH3q/39fDDz+sd7zjHca9E62M52a4fHSA8QQhg2IxKJJG9qI0NJQk0g8ODqw0HSAD3QBHiyNmz/J+oGJ/8WweKYOiZ2Zm7Nn4jvH3glLFRvB3ogsUTH4MQMo4Ed5x/FQqT4/NzMyY+sSjfOaNSIo8CI2nIpGIcrmczb+PTmg6xRhis37rt37rd+5kL3+4kyT/G18keCSZx2s0Gta/Gi45HA7b+YWgJ14c/SShyalTp6wdKcYxm81aa8tOp2NhmCSbuK2tLTttg8XARGezWSstTqfTmp2dtbL6Xq+nhYUFW7Dd7qBPdCKRsMIgqiDpiYxD6Pf7KpVKWl1dNeNKAYk0OMtvbm5Of/VXf6Wf+ImfULFY1PT0tL7xjW9Yv+uZmRk999xzVu6dy+WUzWaVzWY1NzdnzoVQcXZ21kJ7+PpkMjmixkCaBMXTaDR0cnJibV1B9RgxQm3CRF9kgWqHKk2+g43GfHjencQtC3lubs4y9o8//ri1x/SnzX/pS1/S+fPnlUgk9O1vf1ulUslyH2i1uTz1wzF1OFc2Peh+ZmZG9957r5WY9/t9ve1tb9P6+rpWV1e1u7s7kiQ/f/68YrFBA/zV1VU7TBf6DKSHCmNpaUlPPfWU/vRP/1R/8Ad/YAdjPPPMM3r++ef1O7/zOxZa08oWimTcwHBh4D0NwT7y1Bj7x2uvMY7esHh5KacNYYAAScw93wnF5qWI/EIax3N5aSFN0DD+0qhMEaoBx0bEynvjJFCW0AiN9SxpJLojd8WcUxjjk++8K3x6LBYzwQQNq7igO7EfSHa9Fp0IwTskHO0P4rTvCnoEDo3EAYNNYoh+IqBDkCYl6oRAbAgQLgJ2qIZIJGKG2w8K4Z9v58giI2s9NTVlCxVZGWE03Db8KcU1hUJB0kAeRUgF8kaiROKLUBDjEY1G9elPf1qf//zntbW1pWg0qt3dXS0tLUmS9VPudDrWM+THf/zHrbMhCdnV1VXLjM/Pz6teryufz48UD6HcmZub097enprNpi1uqgB7vUED+1AopLNnz5pscX193d4Zw5vL5aybICE/yomVlRVNT09rZ2dHpVJpJDymqhL+PhaLqVarWc8T9LmUIb/vfe/Ta6+9pnB40HPm3Llzeutb32o65ytXrqjT6dghAkjLJOmBBx7Q1atXDa1PTExYK9/XXnvNdOWgrlu3bhndQCsD6BAy/zdv3rTinv39fc3Pz9txbzTiIrkNF4zT+NznPqcgCKwm4Atf+IIVkEgDB/P5z39en/jEJ7SwsGAAxSNU+FkSeNJQKeKVHV5NgaMEpEDdAURQKoHMAUvISqFHaE4FD873YLTgzeHzcQYYTfZdNBo1NQzPwRrCgPtfqENwOnDJvvGUHyfu68cHGoV5pmMlLRAkWWQIJYKj8uOONPjjH/+4arWaaf6hZjKZzMieIPkpDUUCOLI7yTK57gqjzcQcHx/bySt4u5OTE2tTCQWBHI0eFzdv3rRTvPkcGwAHkMlktLOzYz098IRUwRWLRe3s7FiC4fDwUKVSybLEhUJByWRSr7/+umZnZ+3094WFBeMvq9WqlpaWND09re3tbdMfl8tl3bhxQ7lczgwqov1Op6Pz589rdXVVJGPpovfVr37V+ip0Oh1dunRJ73znO/XCCy8YxcFYzc7OmoMKgmCkC+Lu7q7e+ta3KpVKaXt7W6dOndLR0ZHK5bIZ/+npaV27dk0zMzO6ceOGLWRCum63q0uXLlkbUDjjRx55ROvr67r//vtNDkk5eyqV0lve8hajD3K5nM6ePasbN24ok8moVCrp4OBA99xzjx599FH93d/9nRU9IH/EULTbbe3s7Kjf71sSdWNjQ6dOndLu7q4effRRvfjii8pkMvZzNNff2trSwsKCdQP0ckyfDDp79qwhvosXL1pegqZknU7HpHxIS++55x471RyHFY/HNTs7K0lGPcViMV26dMl0wESP8K2ePrhw4YLq9bpVnvb7fX3gAx/Qb/zGb+ijH/2ofvVXf9WchTRE1BhDn9yDZ4aSwSgQEXkKBYPkaQVJ9nmkkCTXpNHGThhZQMt4N0LoBJ6XZ/UKpPH2qAAYSSPJTiiLcT7YP7c0pEFwXh61E2EQpcOPg6DD4bCpmKSh4eZz4+MUCg367nz3u9/Vhz70IV29etVoNr6biIDCM9Yg153eafy6K4x2EAx6TzORvrfs9PS0dc6joGRxcVGrq6uam5uzxA4IBY9OqIEkMJ1O6+GHH7YGLSSa6D5Xq9X04IMPWvY3EolYQgn988rKik6fPq1Op6O3ve1tKpfLWlxctEnsdgcNkOr1us6fP6+pqSldv35d7373uy0JRbtIKgKRrcXjcW1sbCiTyWhpaUm1Wk0XLlzQ1atXDY3funVLf/mXf6l+v69isailpSVDORMTE+bc4NJqtZrm5uYsfN7f39fi4qI6nY42NjbsbMszZ85Y5d3Kyory+bw6nY5++qd/Wt/73vfM4B4dHVk3tWvXrml5edmOxnr66ae1uLioe++9V5VKxfS27XbbKKhcLqerV6+aDAuuORaL6eWXXzYjTl9vnp1GPblczlqXRqNRC0tpLXDp0iWLBqampuyQiQ9+8IN69tlnbZNhICmC4vIVdKVSSadOnTKpaLPZ1Pnz50eivF6vZ9K9YrFoqJKkqTSsdiU6AzF6lcvs7KyhQ6ion//5n9fv//7vm3P5zGc+o4ceekiSDK0DSHwCDkPHXsJQeoNHFCkNlD7I7sjFcB9oFKpHJVmeh6phSYZqpWGrAcbHl4ND5XgZIJ/xkkCfTBznv4kIvBH2KjOvosEBvdnljTt0C3NCngbjKg2jFv/zzAHGORQK6d5779Wf//mfa35+3owyczGeZ/DjNC7DfLPrrjHaoDH4RYyn77wFp0f4ThKPsBdNMGGsJCsU6ff7I5n9SCRix3hJMmTN8VtMXqvVUiKR0I0bN6wXCM6A+1KyjbSQEvLV1VVDnGzkIAhUr9dNtUDUQDKNE052dnb0zDPP6OMf/7i+853v6MKFC/adFDpArxwcHBhfxsag6yHtT+ltvbu7q4mJCZ06dcokbFtbW1ZyT3J1bm5O169fVzweV6VSUSKRsAilWq0qm82qXq9rf3/femJcuHDBeoCcnJxoZ2dH4fCgSAOpIvplKKqlpSV9+9vf1tLSkkVOR0dH1l6Ahl98Ty6XM0MdBMMzK2u1mp25eXh4qN3dXdVqNTtBh2QWc8BBuP7qdDq69957Jcmke/1+35wMx3vh9CcmJlSpVKwXBgjUGxG6vJHXIOz2io9ms2mRZjQa1Y/92I/p4YcfliRTAH3ve9/T448/bsoSn2z0GmA2u5f6eQTsi2Kg9Qj3QaTSAPGxrtmfHhWS/PaVs1CHnge+Ez3haxvY/3eiBXCwvBs/w599VDB+b36euRg37vwbv4O4icL4MzbEn63pn9vz8ycng37273jHO7S4uDjSI4mLz3qu/1963RVGW5KhaH/Sha8oAxnz7xMTE9rc3LRJIluPpIiMPMg9FArZQQbtdtsUFWwUkAaN/BOJhPUfwIlwanixWFSj0VC73dbq6qoVjbDQj46OrGtbv9+3tq+ElrHY4HQZNrkPN0lecX3ta1/TrVu37Bg1Fg6tTW/evGk0kDTgW2/evGl69n6/b7TP5uamisWiDg4O7KzNer2ucrlsybH5+XmtrKxIkpVo0xr16OhIr7/+usLhsM6ePStJunDhgiYmJnTt2jVVKhXVajXrQ5JOp9VsNrWysqLj42NL1pCnQA6VyWR09epVZTIZnTt3TpK0trZmLUk7nY5Onz6tXq9nbQbQNz/33HNaXl5WtVrV7u6uGVsUA93uoAvk2tqaHnnkEf3TP/2TYrGYcdlzc3Pa3t6WNCi02dzc1Hvf+15tbm4av868Mp/QBNKgqpEeKIAF+mtMTk6aVh6pJ4agUqlYgurGjRs2391uV+94xzv0mc98xv4N+eSf/MmfmLqJvuMgVBKhU1NTpgRiXbPuqDNASeF51HB42E7B0xWsN4x/r9cbKaJhHBqNhmmooRGgAjBoXJ52IR+AAYSTB8WCwrmIoH2i2CdaufzPeMTv+Ww+dyeDPo7eQcl8FieDvcHoE+UvLS3p5ZdfNkfIz4LMfRLWN9Qaf447XXdFcU0sFgsWFxeN6KdrGtI8n5zzv+ClKfQgKYHqwYvcPcoghAWpJJNJO/qK3gThcNjkQ0h8uBcRAVVPlKZS1EMXMBKZ8MOUxpNQabfb9llCsFOnTpnwHnkRTfAJpaRhOIce17dz9cUGKC+kYTiHnMrfnwRSp9OxUl7C9b29PTurEZ4PZ8qC9IVJLGpaBEjDggWSeyxSngdaB+4T44iBAOkQTZBYJPz3ERXGhWejig0H7i8Szf7PjCfr0dMNflPB42I42dg4YSgQOF4MDck3fi4SiZjhhrIJh8N2kG8oNDiGbn5+XhcuXDDVEkaX7+P5ut2uFcdAQUA5EimyN/zp6qiBcEpUGLZaLVtX7CVJI4k6VFN+38CbMy6+2EQa7TTIL8/nsk65vGrEf87vbX/x/+wZ1oS/xg34nf6M82BdkysYvw9GnN9x0HzWP6ffF/ybp0ieeuop1Wq1u7f3SD6fD37qp37KJl4ahh4+dOHfmTR+9xfe2m8yJtiHQ2w4n0jx3+VlQT4pAjL2DsKHxCBSSSPfD8LmGaVhEQQ/j0Px1Y6I+HkWz+l5CZTvgQA9AR+JYfAhK+/t+xjDy7FZ6b/N2Yx042M8CfFQw/iiDeaHf/PqBdAVVAoKBAzLeIIHuZRHY8wJ9zo+Ph7Z5Bh9xhB6bGtra+TIsiAIrHwakEBnSd8uwcvjeA6+GzTljQLOA0dJ0Yp3xjx3NBrV6uqqnn76aZXLZc3MzIw4c+isn/zJn1QikdDc3JwlkIkmGD+cCAUkrBnWIok1np+cCPSYb1tM2fYrr7xiDjqXyxnoQAZ4eHhoJ5r7fkCMJd+NYoKIxO9hjDp/bjabhs7HOWG+A5vgjZ1PwnqNOesK4zt+eR59nLIYTzyiqnkz6SL2BIPMeHtqCtTvjb8HBU899ZTa7fbda7QzmUzw7ne/e2RxcTFZoM/xzX8nXopBx9N5Q+yNIhPk0RcTzWbzF4PP/f1E32kh+MQFm4nfWfRMJu/giw88kvJjwXv7KrE7cWN+IYP8GEP/vL55DsYShDsesvH/OCMMGKiq3+8bmhsPRdmU3igzb+MX389nGROP9IjI0CtjqJlbmg4xxsiv/Fj7JBpjhBYX1IiUk8/w/YTFzDW8NOPj1Rlol1kLODwKbuDLUerwHBgz+tT4fA1jA/3gEdv4NV6Aw4VyC2njOLfrlRre6LA2uGjBCqg5ODiwo+s8TcO64fL0xszMjAqFgtUX5PN5q9RlnBlf5pE8Fs8DDeLbVviDCSio88oUjDDvCR3G5QESQATahvuypvy9sCvct9fr2bP4qksKlrzzefbZZ9Vqte7eMnYIfCgHvC/hFpPMBINaWGRoO/0C9pvXS4y8d/eL2BsIj+a4fNkpFwfu8v/+feDReG4MgC9Y4LtRGCB3ggbBmPqQijaPSJO4xpMxLB6y/Z4WIczk2t0dHt+J4fMSNI8GvKzMozjek4gCLfWdElDh8LDcHgqDe49/llyEfzY2H9GEdyT+fl5X68eIefEOc/waL5tm/YC4fNJOGiooeBbmYLxU3c+n5ze9E2PzexDCmqRk3L/PeLLLjznv6ZN8/rPsEaIrf29vLP3vPgr2n0dpwTr3cjcfyY5TCx5UXb58+Q1Uh+e1fSTDz/r9iwGcnJy0asRUKmWFXZFIxNq5YgeINhnHcDhshX0AGOg+vpP+On6O+T+fPAW4sZdRpPg96cGqj7jf7LorjPbU1JQuXrxoYQUGl0w0LRPRbdPelM+NIwuf3PCTD684jorfzLCM810sdr+APG3jLybB0z3j3Nu4Y5A0EuJyjaNxjILfwOPv49HgOOIdv8a5PBabRy/+vRibcYfoHR/j7MfWG09PHfjxGH9n0Krnaxk3fg6DIMkcujcU4/M2Xmjhv3P8HaRRSRvP7595nP/00RSI0EcI4+PAfXw/C/9coPs7GUrGAmAwfn+ezYfn4+/sx85/BmfFfvLAZ1wl45UV7D0+66nJcfrBjyUGECR6Jxke4IakNkBkfE/1+307xm9nZ2cEaY/Prd8r/BnaiDWBneG92YPja+FOf47FBifDT01NmVyVqm7OofVR6Pi6HL/uCqPd7XatERLVUKHQQKhOjb8P6cfbNEqjC9QPmPeCoPF+v2/tGVm03uviMDi9+/h4cFJ4tVq1ZAqSM5yK53dJqAVBMIIeffWXpwY87+x/J5LwBQketbNRfJg2jmKkUb2qD229V/cocBytesTnETDP5I2cRzzw0Ccng7P6fHk4lzeSvrBgnGPku8YTzH5MoGZ84YT/PkJm75j9KeV+nLjC4fBIhOLfF5CBMkgaUh8+CejHguiRd/d5Bd9l0Ot5MRLT09N2ZiTrifv4qIxDNHxkgAFk7jESvqkUskTGgAjQOxvvfLgikcgIBeEjMSgn6iigf8ajKqSUPrLmeQFnnm70ToSxlTRCLxJF+L1G5Oa5b2947+Tkfa7F//v454MgGDH07LHxdTUOCg4ODuwX/+7pmfHrruG0H3/88RGuStLIi3sEQ5jjeVdp1IvfiQbwBs0ba78J/Oblefr9vqlH/MnjIBBJZix4Xr7bc4E8tzdMvV5vRKJFkorPerkSrWKr1apptXlX/8v/O14djpSLZ/XFSD78Hqem+LxPinoUT1k2G5XnnJmZURAEpmGXNPJ9fuwwhD7ElIbGIxQK2abv9/um4fdG3i92z1NKMqfhIwFPCfjEI06YTefnmfv6+ffvw1hjOEjKeYPDRZjtowp/BBU02LhGGGWKn3/GYdw5eiM0Tsn4qtDx9e/RJfPDe2EscWTc35fQe5R/p8/0+/2RSkSktSjG7jR24zpt1uL4vGKw/b/xWR/djFcs+qjFR9TjUYv/nYv1O06DjX8WZ+s/Pw5myuWyjo+P795E5NTUVLC8vPyGfx9/EQbS1/N7ZMggeePk/+wnAyPJfeFKQU4+sYZRgn/2xsV7WlDf7OzsGzazXwCgLx/a+mQjE4xR4p18CT+LUnojX4oMEuPhm/l4o8Mz89z++z2Kxah63t1zltIw/Ofn6dvNPQl3+U6ekTHxjobPMM5o933ymM3rjeo4reTnxytZxhEbyTI/Hhg3H/GwhvguJJGgQW8g+BzPSm5hnB7gfePxuN3Xr1G+k8ujZR8psk48BcAYcI0nuFGe+Hn3IMY7aE81AUS8IfRraHzt+/Xk54p7ogZBcsrZp8wfhWJ+DXiKzq8L/77jXUF5Jn/MF88/Ppbe0fgkL2Pqx8Dr3ZmvO0WU4xe2iz/759zY2NDR0dHda7QnJyeDhYUF+/v4wpbu/NIeQdxpI/Bn7nenTT/+c+Po1RsHH7J7rm78d4z+m10eFfuQOxQKmRzNv7NHTD6xNjExYaX8qA/8QvQaYo90JicnlU6nFY/HrXUqIT5jg/GQhs6OZ2DT+aScNIxU/OdpikPxjqSRaMrPl7+fP+DC0zL+eZC18f+hUMioKf7dR00+oeUdEZuHRJoPd31EJg3zBdzTI1Bv8H0SFKPOhTMgnB5XVwRBYOPlEbEHJDgFHB7f5w0Lf/cSUZ4Fg4rSh+/yl3dsPnIFdDAP0BMUEo2PEUABJ+epCI9AAUaSRtA2RhLAwrrC6KMeArCA0FmTjAfPhHH0DpCLP0PZ+HXnk6DUYbAGcJQ+x+aBH+/r7QT38sabtbe2tqbDw8O7Vz3iB248pOPyRs5/ThqiI2+Q7/R/3huzgcdRG59hQn3YKw0XciQSGVmgLBZv6O8kl+M7majx0IgQHYPljSeLHJRO50L+zfOa3G9cW8yCo9x+fn7e+o/T48QjN2mY2CX09skyjxTYvITu9A3hNCGoC8aad8fY+6iJE9R9stUbIcZlPPRGaTI+5vyZTc7YeCOH7psG9ERdXPy/X0/c11Na6L57vZ6pfXxIzaaGW/Zrmk2/v79v9/Xjj4QxHo9b1MPPopxot9sWKXi6yDtaj34lWR8Rxoj17Yt2WGeoi3yUcHJyYpXLOHZoFd6XimQ/N54DpwcKzxgEgZ0ehBFljfk80MnJial9MLT9ft8ah6HYYL9BbXpK0DtsnKjfN9KokMHXXGBvuCfOye8R5hmbwjOO9zJnT+zs7OjNrrvGaN/J4Ixf48iawcSj8e/jBv9OiNr/m/+7l/54o+vDQyafUmBvhEEy/5xW1n+//3dCdZDL+LuAtkhgdTodow/Y4NyHxcUCAvWARGieRSxErsQAACAASURBVIKWEJ3/99ybJAtdPZ3As8JTQxvgdGhP66kcj+4YAwwTGwAuFQkhi9k32MGAMO6c4uOrMnE0zBOGB+Pp0dI4oh2PsDDsrFHohFAoZDw06wUDsLe3N8L9M77MD2vF8+aSTCfO8zIn1Wp1hB7ks5Kspej09LR1HZRkVbk0XguHw9a3Hee6vLxsnQdDoUE7A4DBuAP3RUgYJA98giAYWWdQUxwE4fM8RHf+MAlOm/K5Kl8U42kS1gf7jefDMfviLp6NdejXMUCDHIePBrwdYY69w/WJe+6Fk/NG3dMnrPtxDpyxef75599gP+w57gZ6ZGpqKrjnnnveYKzxsAz6OA/lje6d6Auu8VCZbPa4YfWbxCMAT5V4tOz/n3CejSzJKhO5N4ZAGlIEnofldzaSp2BYGKCXcDhs3h6Dy5hRLMHi9uPIOHjezW+OcZ6SZ2VxEcL6cA704nnR4+Njo0ZOTk6s5W232zUD57lTHAr3Bz15VDIxMWGbGQTOvLAJw+GwtT8F5YKWOViB5xynGLLZrMLhsPX1uL02R57Vd3OjxS4VjIwVPTxwnpLM2VE2ThTlkbA/1IB5YU35tgs4T+ZJknUjDIfDZpz9HPnI0nPPGGRP9/i9xpqlwMfbC/8+IFTfj5vPe544FAqZzI5x98aUOaGvPj/DZ9mDtFo4PDwc4ZfRUnM/xhPRAk6CeWf9jR9K7HMUjNU4zeHpDkDFOPj0e5h9w/vfyTHwHbcPOLl76REfsnpj63m4O3k8b8D5PBcLiYsJxwvS/MmHOuPGn5/zC45F5Q0zv4N+2XAYHJAEGx4jyjuk02njNunLAV0RBMHIwcJk1730ihM1pAGq4hgof0ae9+aMhR/HcHiYjPUqEXqCgCYxqDT4YjOPl5pzZiT9M5rNphkAjDnfR8c4KJZIJGJ9WkBsOA4MgN8MzBMRG6XWJLeIADB8hLnRaNTGCgN1J+07hxF42s3zvCSIpQHSo6c7yA302+127Vgx1gVGRhpNOHI/H0GyoXGIXu0ClSDJvstrkH0/bYrCmGsPVhgrQIOn/bwT4tkwZiBenGokMjgTkT3qI0HfcsEnsz114/M+HmzxjuwB7yCDYNDi2RtEaZg4xBB7ypJoALqJnyVaY8/4PT9utL1B5vfxCNwDovEkp9+XPhJ4s+uuMNrh8EAv6o2FNOTpCBs8feAlaBhMut35DLNHPL6azxtmjzThuwizmTzCSp8pxqlgIGOxmFEOGFFPU3gO1fPfGASPPDynTX9iL8/DwKBXx7izsNLptPFloCCeQdKIAePvflHyXdKwcAJ0gtqFPzM/HM8kDZDK/v6+nWADf8oc0MsCA8/4e8kY78nz++dkzD168RvDh8NQGL5JFYaa9qvQSLwj6yoajapSqYxEX56H9yoa7omzxsGAxEKhkDkJNns2m7V1yPd6XnXcUfjcD0aB72FNAiT4fwzq+N7gZ7kv643vxrjyDp7HloaAxkex/hAD5oJ1xmeIOjznO059sA79umDtjxteHyGMo2EfMUxOTmplZUX33XffSD8aOk36/efniH9jTv2/8V38nXHydNz4fe9EweAo+PsPMtp3BT2STqeDd73rXbbgvfFmMnzyydMU0mDSCH19WMYm8QiBf/eZaha3DyMljSg5GCc4OdCORxXeSzIRdELjFwufZ/QLBOPBdxJqgd79vaXRPilcIBLGCgMwztmjffY/PzEx8YYw0YfPfvx8osXzu3CDXH7jeDrHj7t/Nz4LxcHn+E4f0nsU6D93p5CcDYcx4vIFHb6SFuPgqxQ96vUGDK7bO2icku8Tgw4Z6of14GkIxsEreXA+OJ5Go2EHyNbrdSUSCeOzk8mkObHr16/rxo0bestb3mKHO/g58YkwSUomk/aZWCxmawF0zJxwf9a/p65ApFQhRqODXvGRSESLi4sKgkCtVst6nbdaLXOIqVRK3/zmN/XKK68ol8vpYx/7mP7hH/5BH/3oR7W+vq5IJKL5+Xk1m01tbW3ZONdqNTuEOhqN6urVq8rn8xYNdrtd69+ezWbtIBCfhwGJ41wwriSV4dt9YRf5FBpl0Ue/2WxaM7SDgwPr3Ag4YT/TII+eNey3WCymp59+Wvv7+z+65C8UCt2Q1JbUk9QNguDtoVAoK+kvJC1LuiHpfwiCoB4arIA/kPQxSQeS/ucgCJ79QffP5/PBJz/5yZEQ0KMHH95LMgPhNaae7wb9YQT4WU8psFAwDF6fzT35HAYDjw/6xTjyHR7B4Fx8Ca5Pcvpwlf/z9+e7pVFU7g2qN05+rPyYYGiCIDC1ybjR9ElAn2jjO7zD8w6GMfLfIWkELfNzPJMPKblAZ6B1T1H4xj8kH3kOL6nyz8NY8t2MI0oWDrlAooZTYxyJ3LxhZXwoFoK75Xvpgd7v9+0QBw4H8Gs2CIKRRCLPt76+roWFBTP0RHxBEJhxYJ1ubm7qH//xH+17t7a29MADD1gP94ODA125csVOZbr//vt15swZyz2ALgEas7OzVrXpaQQUIcVi0Q45iEQGh4dIssO34/G4nf7EQRLb29smi0un0xZRscZbrZaSyaTtY94ZJ5FIJLS1tWUHZrAWGo2GIpGIHcgBGOBs1H6/bwl1v36pefAJXHIKrVbLTiBC/opzCoVC6nQ6ikQGLaPp68/+4p7MMTaJPI5H1T4i5DQsH8lw/Fi329Xly5d1cHDwrzbabw+CYNf92/8pqRYEwX8KhUL/m6TZIAg+GwqFPibpVzUw2u+U9AdBELzzB90/l8sFTzzxxEgiixe5/V0jaBt04pGOR5te2cBg8ncMJAPpObRxOZc3/N7QSaMd/vidiWGzSaOo26PWcf4Kp+ORokdePBPGwyN0T/lEo9GRQg6cgF/EJCd5HklGHYC8+MVcMP6SDHn5pJU3lP7/PIXkk8rjUUoqldLNmzd1fHysr3/96/rFX/zFEbkZVBWysNdee02pVErZbFbxeFy1Wk3r6+t64IEHFI/Htb6+bjK26elp1Wo1JZNJO5Xn+PhYzz33nHHnrVbL1kin07EKzmq1quXlZfV6g6PYLly4oOPjY5XLZRWLRTtFibUDwj48PFSxWBwJqbk/uY9+v29GiOIp3pG8i8/DSANDSRXhzMzMCFc+MzNj2mZQbKPRUC6XM0ONw/BUC3PLIQagSbr2NRoNzc3N2VxQjl6r1bS4uGj3AHHT1nd7e9s6JPr3Yi1AIyQSCaue9WMZBIOTmarVqklUGT+46FAoZB0UyRvxLBhvyvp7vZ4ZYK9OkmTzTxTcaDTMGFOiz/j69Qtg48g7nw/gOz015ZvDsVc87cZ3PvPMM2o2m//mRvs1SY8HQbAVCoXmJX0zCIKLoVDoj2//+c/HP/dm95+dnQ0++MEP2kv6pAe/09PDIyMGH/TDJMJPShqZPB9KS8MGNfBOLAA2F3IlEmc+88ukkOzK5XKq1+uampqy76MpDJ8F8XFEGDz4OIfG/T1X2u/3bcER5vuz+CQZbQOHVq1WtbCwoGg0agZgb2/PVBXpdFpHR0fKZrOm7Q2Hw4a4uNbW1jQ1NaWlpSUdHR3pxo0bOn36tJ566im9853v1Le+9S2dPXvWTk9JJBJaWlqyE8nX1tb09NNPq1QqaXd3V2fOnBmZw5deekmbm5vKZDIqFAqmU+aZJycn39AqFefGiTgkTKenp20Tk+fododHZ7GJyTt4zTQRxHjSLJlMWm9rqJsgCOzE+JOTEzP+ntI5OjqyIpFUKqVqtWoGnZD53LlzikQi1ruaZ/d7gI2cSqVGDpDwSiLWcyKRGGlZ22w2VSgU7KAJ5gAO1/PYzAlcOrSONJRkcsgyDpkx4u+eGuOgBmgVNMxeVcTxfty72+0acPBRl3fg+/v7Ri3EYjE1Gg3r4odz5wBtkt1+30lDPffk5KRFYPQNoQKz2+2aounWrVsjh5t4upP9xzmgnLrOEXeMKcfMsW59QZXPYUxMTOjKlStvWlzzwxrtVUl1SYGkPw6C4P8OhUKNIAgyt/8/JKkeBEEmFAr9jaT/FATBt2//39ckfTYIgn8au+d/kPQfJGlmZuZtv/ALvyBplOpgY3lkCpcUDg+a/cTjcXU6Heue5ZOAPkM7NTWlg4MDC3tRXDDw9P+Ah240GiqVSqrVaspkMqrVapKky5cvGzXSarXshPVIJKJnnnlGjzzyiHFX9PmNxWLa3d01o0pxC+gKvff09LSazaY5Ck5sz+Vy1uTGJ5o8jwinKQ1QM5sf1QYbi/8Lhwcno1QqFTvBHAoln8/r9ddft9PhM5mMJiYmtLy8rBdffNEMIWPXarXsGLBer2f/T5N+KAnQEk2KgmCgFoGn5PvC4bDK5bKCYHCy++HhoRYXFxWLxbSzs6N8Pq9wOGx6cE5M9w6I4oRCoaD9/X01m00tLi4aouKEGlp3Hh4eql6va35+XtKwIo9NDUoNgsDmIhqNKpvNWvMwf+AwhSY4elAilIMHICBXkpTNZtPGzRf7cE+QrNfgc1AFDodClPn5eW1vbyscDttxaeOVn/F4fKQHC71LeF+oQypo6bAHyiRv4ykpuOJyuaxSqWT3pHIXJRIRpR9rr5JqtVoqFouGXmu1mqanp+3Iv2h0cGDC7OyswuGB3BNBAk4e6md6etoikXFwhmOcnJw0TTvRARSJR/nT09M6Pj62z+N0sTfcyyN/8iAeaQMaMOwnJ4Omcy+88MK/mh5ZDIJgMxQKFSV9VQP6479itG9/ph4EwewPa7T9NTs7G7z//e83o+z5aXisVqtl3Nj8/Lwdg3R4eGhcEJzdqVOnbOB6vUGT9MXFRTWbzRF5D8UYR0dHmpubs0bwHPd0eHhoJyqzcbxCgInxfCO/fKKDhUwoj9Gn6g+Uv7Ozo7e//e32Hul0WuVy2Y5Cw+DMzc1pf39fKysrdi7j+973PkWjUa2vr9sYUqTg6aHJyUllMhmtr6/bAcckS1g0bExOJeG9aY+by+UM/bfbbTMMc3NzCoLAjFg6nTa5G3LGw8ND7ezsqFgsqlar2VFtoLLl5WVdvnzZznrECEYiEZ0+fVqNRkNnzpzR6uqq5ufnLSHFey4tLanX6+n69evq9/sqlUojGl1CZc40TKVSeuGFF5RKpTQzM2OUQCKR0Pr6ukKhkM6ePatLly7ZWjo5OVGxWNT+/r6Oj4+1t7en/f19nTt3zopE+Iw/KzIcHmqo9/f3lc1mLQKA7sCpIp8E5eVyOTNEHGzsk2IYbN+AiV84R78nIpGIdnd3TTq3vb1th2VjWABQ7XbbeGG4+nq9rlOnThkVhpQRBwfVksvl1Ol0lM/n1Wg0TA6JExmnKcg14FTy+bxWV1eVTqfNSbC+obFA6DgAxsW/S6vVsnXE++McGbf9/X0dHBwY2PBqHi8PHteG86yoUaBIAFfQQOFw2Aqf4LVRfPloudfraXV19d+u90goFPptSR1J/4v+jeiRWCwWnDlzZuR0Gp/p9lw34QNZapIJnOuHNyVcIzzxfBsd+0BnnnPM5/NmtEhupNNpNRoNy66DkEhYwSP7Um2+33elQ3YUCoWM3wP9hkIhe/Zx5EQ5eKfT0fnz59Vut40bDoUGLWw5kZ4NQTIpFBpWm87MzKharWpyclLNZtPugzGfmprS1taWJiYmlM/nFYvFtLa2plQqZbRCNBpVvV43p4AKgMOSU6mU2u22lpaWFAqFtLa2pkwmo0wmY2c6wtPOzMzo4ODAaJ/Dw0NLCBEmr66uqlKp6PTp00ZRJBIJ5XI5HRwcaHd3V/F4XKVSSdIAJWJA5ubmVK/XjXttt9tmEBKJhObn53X9+nVzKjRQ4kT3RqOhpaUldbtdFQoFvfrqq8rlcorH4yqXy4b4H3nkEUNwoDSvaQfZFYtFq2qEatrc3FShUDBqDjkcVEw0GtXs7KzdC+0zmxstP4bb5yby+bw5DQxeKBSydgXxeNxOlwmCwHT9KCZQjHCUmaeSPFL27W2hJEDdR0dHWlhYULPZtMQs+xLensgEugzHB7r3B1/wO3vMy3yJSjDsvk6C4i72vM9FsSZ3dnZ0dHSkdDptjhSQ1mw2TYEDNeL5bRyiVwbx/Yx16Lb6xydfmU/YAOzQ888/r06n86MZ7VAolJAUDoKgffvPX5X0u5J+QtKeS0RmgyD4zVAo9HFJ/6uGicj/KwiCd/yg75icnAwYEKiCaDSqRqNhYSUDhTbXK0dAs0wQ/zfecwDNNtwUPJuXY8ErQX8EQaDz589rZWVFQTAsTCA8BWnTc5vJ4tlA8jiHUCikbDY7sgl88x3oE2RGLEjvIIhE8vm8arWahX4YbDx8u91WMplUJpMx9NtsNo3uwMhhlA8ODszxwMn5CkCQE8icw5TRlF+9etUiCRDE8fGxKpWK+v1BeXI+n1cqldLExIRu3Lih+fl5o6MuXrxo9FQqlVK5XLZN5o/Z8jKt+fl5O1WeiKRarSoIAlUqFVs/0B44t3A4bA7G66q9ioZIw1d1ttttLSwsqFKpmLMiAlxZWVEymbQEKYZSGiDI7e1tRaNRFYtFHR4eqlQqWRQkDTZ8qVSy6CSdTmtyclKVSsWUBiQicUCgf2oEoDXITYyjxEajoXw+r5mZGVUqFU1PTxtYgOaYmZmxvVOv10d4c4yYP5uS9QrPz/eTuMOo41hw8AAuQJqPFDDge3t7ho6z2awBHToBsuc9VUO7W56T/Qyo810DsQF8HgfHc7E2UaiQfyJyqNfrFjEQFfHzftwYFz+GGOt4PK7d3d2R03W++93v/uiJyFAodI+kL7FfJP1ZEAT/RygUykn6oqTTkm5qIPmr3ea3Py/pJzWQ/H36B1Ej0tBo42XhqRKJhHkmBgHj4SkUeGqvqQVxwIF7uRyZZrheuF8MEGEVSJDBJvnnuXEkT91uV5lMxhYsWft+v6/t7W3jz30oSAk0fSJYpMlkUpOTk0omk5YEA1WAnFiIIItut6tSqaTnn3/eFh+LptVqGdqORqPKZDLa2dnR9PS0zpw5Y4c9kOyJxWIqFAqq1+sjyD+ZTFpomEgkzFB49U2z2bQFfeHCBV25csWoCO4NXYE0EB46FBr0vGi32+ZE6S9C2E3yjc1Wq9XUbrc1NzdnyJONhSFi3hYWFhSJRPTyyy+bIoTK03a7bQoAEkpLS0vGc+NQt7e3tbi4qJs3b5p6A9QVjUYtkSoNErjoqlnXiURCyWRSnU7H6KNOp6OzZ8+q2+2aYQBdNxoNnTt3Tjdv3jQkiTPN5/Pm7PP5vAEI3sO3jsXoY1hDoZBmZ2fNOZMIhjIJgkArKyvK5/NaWlrS9va2FhYWbK4xmBxuMTU1ZXkJ1ggRMr1twuGwdnd3devWLeXzeXNGUAbpdNqKXngH1t/ExKAZViaT0eXLlzUzM/MGXb3n1X2yGiQN1ZPP522Nsa+JwODVWWO+2hXnzn5jfMkHeYQNPeqrhFlb1IiQLMVheZHEK6+88qMj7X+Pa3JyMiBEBFEz2Pv7++p2u0qn0yOaZDjPWCxmHJcvGIHQl4bdzUDVnvQnrIrH42o2m5KGxtQL4yUZBylpZIGgCEDJAv/HaR2cnI3ChY3O5cN+kBIGqdvtKp/P2yJC8QHvVqlUdOrUKe3u7ioIBocNsPgrlcqIcYTPL5VK6vV6djYkyPzChQu6du2a2u22Tp8+bWPEBvJZb/p0dDodpVKpkSz/wcGBWq2Wzpw5o3q9biE0ScHFxUXbbGxQDAW0jjeCvV7PjDZOy1fV+bnsdDpWxi4Nw9+NjQ1DkKVSSQcHB6pUKubMCItZg1ytVkuZTEbT09Pa2dmx8NWrU5ivcrlsxhmAcPHiRU1MTKharVryqdls2hre3d1VPp+3zY465MyZM3r22WdVKpVUKBRMeggAQCudzWYt0YeGenFxUc8995w5JvhTkPH+/r5FO9APr7zyiubm5hSLxTQ7O2uGtN/v22fH5YaxWMwKW4iOZmdntbOzo15vcKhBJpMxLfT8/LwpnzB+uVzOIsJ6vW5GLZFIWNIR0AUFQfEOiiKfAyB3QXWu54xx5BMTEyP7WhoY00QiMXKIs59j38GSvY/tYB2Sq/Bl+jABUCPjyhO+xxcVhsNhvfTSS3e30Y7FYkGhUBgJk7xuEZkMxtA3sfGFGSSZGECMxfjxTYTBkkwBAPo+PDzU/v6+QqGQVZ2BhsjIz8zMaHZ21opBqIga55Dxxkw4ToQIAnlYNBrV1NSUqtWqnT5N0gykls/nLeJgsmlUdPPmzREun6QqjgxDkM1mNTk5aZuPRAxa2EgkYomwTqejQqFgBsZTTmyWer1uTpNk1N7ens6dO6dQKGQVal57T3iKimR9fV3SwLGiQCFZNTU1pVqtpuPjYxUKBbVaLdMgM3+tVssSc4xxcLtgJZ/Pm5Nl49RqNcuLsIGR6zWbTft+3/qUJDbrcXZ21lAZyULoE0kjnHqz2TRe95VXXrFxW1paUrvdtp9JpVI2fiSzAQHMF89YLBYlyZLKOEqcgJ8n3hEaJZ/PWxGKlw5ubW0pnU4br00xys7Ojq1F1pM0bJyFISICajQapjfHOUIZVCoVLS4ujvSiRkJINHtycmKKLY7gghq8dWtwNiTPgKKEhLU0VIxByUBPIu9Dpy5Jp0+fVq1WM4OOLSSaloZIP5PJmBOTRs+QBXwQ/bF/+Sy2y6vhAHzsq1QqZcg8HA5rZWXl7j4EIRaLBcVi8Y4FJTwfmVZeGIPnB9ojJC+xYQN4w+3r/OHPMIpQLTTkuXXrllqtllKp1Ih+NR6Pq1qtWkguDVEUvJcP/1lccJFEA3DkNHnv94fHmtXrdeNOkYQRlrbbbV27dk3nz583PjKdTpusiuQHTiWfzxuFsb+/b44HHTHOigUHzQGf7JNChMMg0Vwup5WVFduEjz32mLa2tmw8kYs98MADeuWVV4zeonHX0tKSSbygUHq9njY3NzU9Pa1Tp04ZT400EVTnOe9IJGJJv3K5rP39fWUyGSWTSbs3Er+joyMbf6I0qghBTfCauVzOHEPsdpOsRCKh3d1dAwu5XM44aJ4f2oPS8+3tbd17771qNBoql8t66KGHNDExoe3tbdMXU6GHDj8UCqlQKKhWqxmIoawahMZzlctlLSwsqFwua319XaVSSa+//romJibsWUDT29vbSiaTWlxc1KuvvmqNvxqNhtEyqKnghuFfkcNCYVUqFZ09e1Y7OzsGvBYXF02Hnclk1Gw2LclIryEMGS1nMc5QgVB2uVxO1WrVaDh6tmxtbZkh9pW0RAQ4V6gngAnOmVoMlD6eMkXcQNLQiwwoeSc6AlhinzDikozilWQ0L1ElYAZ2QZIl8O/q48ZisVhA9p+w2Wd1vVKCpJ8Pf0ELeC2y4RhGvBzejQ2OFIfPSMOWm3wXPwM/Bt9MeEaY5WU9JEowlFtbW/ZOqVSKdzYqwMvaWBDof3kuCkdAyiT/fMEDiT9CNlAPicpkMjmicSfTz8JD0QLS82oCnp0QHHUBWlR0xj6BQ1KRxKs0cKZzc3Omx8aI7O/vm8PBaJHgSSQS2t7eNoSI865UKspms6ZfTqfThohIOHp+1/ON5C+q1arS6bRKpZLa7bYVorDhmCOiKpKOU1NTNu6sKfhkOHhpIM/MZDLa2tpSr9eziAkjQOSEMUomk7p+/bo9B/NG1LK+vm5on+ejnzrFXER/R0dHWlxcNEeSy+V03333GeIPgkElaCKRUKPRMAklDgfjRaFWoVBQOp02IIGiCCeLNBYQ43XKJK6Rhy4sLFgxVq/XM6klhSXT09NWezAxMWGUH4ViQRDYPKL0ItfFfsLwk2ScmZkxzh6bAh/P2sSmAPKgaCWN0K1QrEj/WGPQsHyOtYNhBmkDfviF3eAd7vrjxiYmJgxp8+DS6HFbGCm8HlwtAyuNygMx5vwZPhdeyg8uE+SlREwcm1eS6aox4FSAgYaQWpG1BjVDv8Dz8X0YtSAY9H8gJAWJ8E58HsqA5Fqr1RpRsVAkI8kazvvuiYwVY+hlX6gFCFP5fxY4YTxSNCgfcgEYIdQjFO34scEJ4XyOjo5Uq9WsoCifz+vg4GCE5iJ3USgUbGNDP+RyOUmyzoo8j98sJKQ6nY5JNn2zf4xhNBo1XhVaQdKI08LoQ9GBoLPZrCXSCoWCVZ0y3qhZ0OaDOI+Pj83xk9NAA01lLVJJeGPCfiIl1i8J9J2dHVOlQPXNzc2N0ERQSsjtcOSU7kM1oqUniZ7NZo0XX1tbU7FYVKVSkSQrmwf5Y5AzmYz29vaMEoQGhBNvtVra2NiwalgMLZEy85lMJq1WgQiJPYw8cHZ2VpOTk6rX68rn89aoCofC/aCasAk+wvXAj+pKonXfPhrA5MGhpBFq1CdJUTuxTj3vzWf4nn6/f/cj7YmJiYATTvBgvCjeiUGB0IdP9Nw2L4+u1CcH4FAxmkigmKipqSlDeCQlSIZ52iaVStmZjHhFjjWifJWw78yZM6pUKraZpUFVW6lUso3d6XRUq9UsWURIRrFLp9PRwsKC8cjT09Pa3Ny08BDkfu3aNXW7XS0tLVnREaX1JGBBw3Qc63a7tpFIOL3++uu6cOGCbt26ZfzqzMyMCoWCVldXbXGBijCoaJN9n4ZOp6N3v/vdeuqpp2xxT05OKpvNGooHmZ+cnIyoB3whDPpwZJUnJydaWlpSEASq1WqGVtCQo2leW1vTgw8+aBpdn4Te2trS3Nyc9vb2dHR0ZHKre+65x+aEKkk6SEajUVMdYPD83PP9nhvu9/va29vT8vKyRUgzMzMWfbC2MpmMRVM3btxQJpMxxE0U4iNOEsJHR0eq1+uam5uz5CrnfzIuzDsAgyubzWptbW2kEhFJJ4Vg6XRaN2/eNPSKrn55eVk3btxQOp1WIpFQvV43tA4VNjc3p2q1anw9QCsWi6lYLGpvb8/2Tyw2aI8KYEFvzxjRwTCXy1keBDReqVRsr6CIYT6DYFiFeXx8rNnZ2ZGeIihufHdL1gmFZax1Nl4/AgAAIABJREFU6CAvf/TGnxwE0Rc0DPQJem7mEYcJKEB6PDk5qfX1dd26devuNtqgIAbFy3zi8bja7baF8Cg7SLD4JBleE3SOkcEwgILJUnuxvNdRghwxZuVy2ZAG9yQ5mUgkjDeXhj20MWAkNGu1mkmLUDjE43Erh6e3MwYZ4w9PSAEMFaAeaZMMkwYhc6FQ0Pb2trLZrKamprS2tmZIznd1A+GBsJBN4iSazaZVtxF6RiKD7oVsDKgYDC30EguacBJEgtwJNIOT8hp7SSaJohgIJQ7OC+OO8oP7+yImDCd0GsaDTQMCj8VipgkGJWOkMRwkIvlZAAIOnMMsMNhsWE6mpxQaA8izEv2gmKC4AyTvURjJVtYIyTrUDF5pheQVrTXRTLVataIZ/o7zoMqQyk8ijWQyqYWFBXU6HcufSMMotV6vm4R0Y2PDSuwrlYqhbJKwOHRyPhjTRCKhcrlsFclnz561thFerUEeBVSN/M9rxLvdrnZ3dy3Swz4wd55ihUf3yUS4bVqsspcBBz6342kTaagmgy7xnDV7VBo2mzs6OlI+nzdp7tHRETUKd7fRLpVKI9QIA+pF8DToASUzIaVSSfV63YwGxp1kHf/GZsZ4l0ol6/sLOocy8dn7Vqulc+fO6dVXXzVtLDI1ssySrIoRWgIHAW0A3wfi5P1QCITDYUsOgejhTnFg8LcTExO2GWn/yfdSJTg3N6fr168rlUppenraqBVpkDCFa/PJyIWFBR0cHFiUQ+TA2LBxvC6VhY4hCoLhgQw4wJ2dnZF+D2yefn/YCIux5z44X/TokkZ4QdYuTgKUw9jiFNhMjD3JVS/z5DmJtshT4LBYDzgCtLz0XfGUE+F3o9GwvhkYb5+wkoaqES5Q4cTtvjQofDDY0DM4I9Y580TkAoqjJL9cLts74xjX19eNq2cNQSVOTU0ZBw1VV61Wlc1mtby8rG984xtWR8CcQS/CWddqNXPaREokcHu9nvb29gwwef4ch0v7iUQiYZLNfD6vcrmsVCplyg8oiXQ6rfX1deVyOQNVNJpjfqLRqPb39y3JnslkTA5J9CKNHkQAIMI5Ymz5DtRT0J04dmolWKvsI+bJA0ioWxxEuVy+u+mRWCwWgP7ggeCdWeSE0hgDjC+hCWHgzMzMSNjJheH3fwf1wC2NIz44Va88QYp09uxZraysmEGk1y4bFIQtydB0EAwqKsl4w88ymYTMhNf0Fzlz5oykwYZGs0s4jRyRRjmguvHELGOEE/RNs6ShdI5xohcwSZPJyUkLLUHnGDNQKIoXaZgx90lerw7AkcI5k8RkXjxnDo8LHQElBn/PpvL8P1EM51HC3zP3XKBuz1HC83NWJGsBDTdUSLvdNufGexK9ABBwCmxK3/WRZ8YZs5kxuKxXJJsAAOR18KKez4crxyiSqwiCwDTlcLOokFDUYIyICEDjR0dH5lhISNJaAQPMWiSPEI1GTV7JuHqAxTv5imLmh+gFyR5GkGIpn3sh2kWG6esnsBe5XM7yJnt7ewqCQGfPntW1a9dMBkiLBx+9s179n9lPAD+MNs6DvQ8w87YEgIQAAGfoD6Rmzv9/YbTp6QCaJrMLqvJIBl4PY+LDYBJd3miDkkgseATHYBLyQEPAG3ppIZt2dnZW6+vrKhQKttlQMWAkwuGwJdao/iIU7fWGXcZI9pFchKNOJpMmv/LcGkgLo8v84e0xDoRhNL26evWqSqWSZfFJUO7s7FgvCl+KjGFCM80zQuuA6KChiJBwDvCCJGuRUTI2knT9+nVdunRJa2trymaz5jAJmVnEGFUMIv1jcEyErUgBmROQsSRTGOAgQTRQS6AcmvlIQz29N0i84/gJP547zeVypq8PgmCk2s738WB9MWcYIN4LKpAEsx9b9NEgPCSUGGS00hgUnpFiKRwSFBY0DYoSr2Zij+AoKbwh/4J2/uTkxJ4Vrpr5pgqT/YRxZKxx1rw3xhDqASrTRxNecABn7ROGRIX8P+CBfi/I/qAd6f+N42H+cAi++hldfL/fN+eFKosx4DtxzOxJ1FU8G44XEUO321WlUrm7jfbExERAVRibluSgp0d8xzg4JqQ9XgXAIuRn2fyEl17Oh8H2PDRhNI6D0A4ujk0WCoWMm0UmBscKemEzSzIPS7hLoqfRaBhdgfqCpCnzw6YlMYligwq/mzdvGkL28i8qFuFKJRnPiWJiZWVF2WzWDDyVZDyzpBHnBmKH64TT5UQPaaiDJ/zEiOKIkbYtLi5qZ2dHs7OzVnEKldTr9Wx8UUKA7FBDSANklkgkrFugJGth6u/BZvf9kUGVXuPPmIOoGAsMFWEw1anMNxEiEQHf4ykOEDJte3FIGDNACeOOQySfwO/SsHHTrVu3TPlBqI2ahPVIZaGXsdGKwNc08Mzo+XkuEDeSQp94554+bzExMTGiAoLKDIVC1nzNVwD6Q4l9gpnvRW6JvBTpK/vQF7dRjOQBAHUI0CIk31Fvsce5GBMAJOgbpwLf7XuVQOOdPXvWVC6SbGzHgaKvjCRPB6C465E2RtsX1kjDaiGMNpNO+Hv7Zy0hgaFlE8DV8Y6gMrwaiw1DwcAS+njDzgQyqExyKBSyroEkjY6OjqzDHOEwvDEcNI6CycUg0uyGCjuvJYeDpWS4WCyabpqxopEOLTFPTk6USqVM4eEvNlez2TTFQa1Ws3mgDJlCDhQVcIvI0nxpP+EfqgJ0sbQWZeHeuHFDklQsFjU1NWVn64HWkKHx3Z5HxNh5PT99M1AR+DljPIlueE5oHYyB58m9bpY5YN7ZXNFo1NRG/oACXx4OVw5i9wUxvKPn86HaSAyzXrxqSho4ccJrjAbrFbkZvVpwXCRVoYL8evd9MLgnBgnwxBqmmZmPZkjAIsck5wI3D0VClMi+Y0xY05SuE6kFwbD9qTQ8X9H3CPFRuHca7Hd06OMUEY4X6oTn9iXxGFZP8wRBoHw+b0CL6IlePL54bmJi0FkUtRa5B7/PAT/0PwqHw3e/5I/iGrhKaBI2Db0x+DsbgwXJZvSUCJlqwl7PcyGB42cZYPhC1AmgVK/f9DprknuHh4c6ffq0rl+/bkgZJQI/x4bzXCEOBZ60Xq9b1zA2Mz2fNzc3TS2BZrrf72thYUFbW1u2cekJQoJsamrK7rm7u2u8dzweNwVCs9lULBZTOp02eRqJuJOTE+3u7pqqIJ/PW2jOQqXYgkKenZ0dK0JBzsVCZkzoeDc5OamFhQX7HGGwJMsPML/S6CG/hOwHBwdaWFhQq9Ua4R0xhIwN68frY8kxQEVwT2guNi6bDgXQ3t6eRSdQESQ52aygyCAILFkJKt7Y2LA8AE4BFQahOwCFcSAK9KgdZ+LvwdiAWEGiXjHkFVasaSJDjJanhySZuoWIymvaGTdyTZ6uJEoEod/e87bGqTpEdYGj5Z0kWUTHezE2KJwAR8hZ4ZWJlvkO1gt7n3VD5AlF47/HF9PgLJjj2O3uf7w/a2+czvLyYZwf+QfyOfxMODzQ9t/VRntycjLgWCxpiHIIEaVhHw94I18RCfohjJFkhRJe7ucpEiR+ntsEPWGs2NhBEFg3MwZ8bm7OvDVogRaokgxxk2ihaATah252IFUWE86AZ4F3YwzoWxEEgYrFoq5evarz58+bbAunBzrwemdkXJ1OR/fff7+q1arW19eNqsnlcvYs2WxWtVpNGxsbkgYbFsNG0taf3o0RkIaREkUPFJ6wyHu9nq5evapwOGyKFZ+8rVQqFi4T5kKRIBmMRCIjEshz587p+vXr9jx0j2MDwff2ej17LrTh8OFec4vTIuwmfI1GoybzwmlJw9NeQMD+ZBOMKVQM3+0TWiA68gsYBRQGOCv2KzQKYAOlD8aFwhsSuOwTDCy6emiCcDhslYc3b95UOp0eoQWJRFDngFpxRL4/EOuBcQF9wy2TcwDgYAiPjo7sRBrPHUP3objAFngAhvSRQy8AGSTNe72e1UMg71xeXtbW1qDNf7Va1blz50YULCTAWVP+d1BzPp+3KIQ1g/wUaobvZ51BxWG0oTUpHuv1etre3n5TyV/0Tv/4732ByCSZp/aN3z1FACckDSsmvRSH//cJKjhPFhfIGoRCmIgRh+/0STN+p89xOBw2FCwNOdxsNmv3QD0CImIhdzody8KTrJFkixjjBpcHQoRLBz1wagtJHi9ZAkX5QoGTkxMVCgXjj0FC6E1B6iQjKeigUMJXcYFKpeFixhjBx6Mn3t7e1uzsrJV3Y1A4kRu5IxTDzZs39Z73vEflctkMPtRTNps1J03hFBxgOBy25HAsFtPVq1f18MMPvyFRypghtZydnbVe3Bw7h1HAOXkUyUabnJy0qCedTqvT6RgVAPoC7RFlEJnheDCaOFpoHCgVn0Ngr2DAAAisbXIsUCDsBYpCiGBx5v1+36IsjAxrHQPjETLJQpwaslciHxLmGCgiAoyWzx3xTl4BBCLGuZL0R5zAfoWm8r1zWPOMO/sXp+pzFzggJH/lclmzs7Mj0lbu6ZVsnodmL0J5Ii/EGdFKwKN0ErkeSHJPZLro2b3Sbfy6K4w2m4Swm5ci8edRNZ6fFwuCwMI0Fp1HyF7Xi/fGwxGqEOrz/6A6r0rw0i6+u1armRGRhkoQKiqZYBAViSsMJKe+jJflIw3jIuLodDqam5tTpVLRW97yFn3/+9/X9PS01tfXdf/991tTHt4ZlQiLnZ+XZBJF6BNCfU5s4eenp6dVqVRs8dNKlCgAJMGY7+3tWfMnepkUi8WRyOb4+NgKhIrFolZXVy0JRkn966+/bjzs7OysFhcXRwpNUOXQxwQDc+3aNTN46XRaL730kilK0BWT+Ufy5tvm+r4kOH9aAHsZKkabfuI+udzr9exwAQBFPB5Xo9EwLT0OjJCYyAJHxvhKMsSJQaC5EnJJKAWoDs5MlIbyRt4DBQlRAIok9h+GhqgCQ+ONERRdOBw2w01UyRyBwH0nQfayz0dB/ezv75sjxYHBReM8GQPvAFF1UD8BJ0zyF8oHumtubs6KzkKhkA4ODtRut3X//fcrn89rbW3NJMNcXn3j5aDz8/NGwfqDp+PxuLa2tkyTTndA6DJsCTUByP9InBN5vdl1VxhtSYYOMJBk12/dujXCG1L5xOYl083il4bZWkIbPCJhFiiDbDELl0VEWCwNq6jYzCSHQqGQcrmcIQK0xmSUPe2Cc4hEBpWG2WxWlUplRGoF+ocf5jw9HBMbf3NzU4lEQqurq1peXla5XNbi4qLy+byeeeYZPfDAA7p+/bqkYUuAhYUFVatVnT59Ws1mU6lUyk5YJ4rB+E5PT2tra0unTp2yCGR7e1sXLlwwVOpzBxggFAkoAvb29qyEmfL4WCymXC5nTm53d1fValUnJyfK5/N66aWXzHHlcjm1Wi3rNuelVI1GYyRfwCZA9VKr1fTYY49ZlWYikVA8HjdDNjExoc3NzZEDgukEiBaYNci/cX9UD162BQqF34fmaDQaRkMwFyR8vVEm6js+PrZe42xe8gQUW/EO9PrwnGgkErHDECQZH03ijnoHEp8AEI+AeRdoG6ofuSfFW6g5oADC4bChRSSB3J/P4GRwakSnJMPh4OPxuDlaxo5oBzUMz8eRd9gE3lsaGFkqer2WnEgHrf358+dNUYKzGk9EM1+1Ws3A4O7urimnFhcX7d7r6+uWwyFx7ysopWEVJI4ADr5Wq43INO90hd/0f/6dLzg7wk0Gjk1COEXBi/83b6AlWZIP4wnSxDCTBKE3L2WwhPQgWyan2+0qmUxqYmLCzjD00ivQer1eN1REG02SMtFoVNVqVXt7e4ZySqWS6bZBbuiPp6amlEqlTAVCeEfmms3b6XTUbDZ148YNFYtF3bx50xCcR4xzc3MjNAvHkDEGjOP29vYIDYI6plqtGm84rspAY3zjxg1TjFAwgnGYnp7W4uKi0Ue8C1en09GlS5fsoOJqtapSqWSolgNXcYokBOm3Aa2yubmpiYkJPffccxZNdLtd+9krV66Y4W80GjYnyC5pJ0vkRXITDhcaAsPN4b5eGQG3DRpExoZzqNfr2t7eNpQqDXMzbG4Q8d7ent2TpB+yxsnJSaN0UqmUVScWi0VrwJRIJJRKpUbkd6iNWJfhcNjUEHt7e7beiAZOnTplc8/BHFRhovSgP00ikbDTeehQyBrjmC/oBDhmjFmn09E999wzUmBFt8dQKGTl6/9fe+ca2+aZ5ff/o5st636lKFGSJVkX20gmToLOJNkJBt22mx0MNv2wKGZRoNtiiwHaxaLbfmhnUKAzg/nSFkXRKVDstugF02I73Uu3u4Og7XabzZd2cpkkdhI7Ni1ZF4viRaIoiYwoiZT09gPf39HDNHGcxDYVgAcwTFEU+fB9n+c85/zP/3+ew8NDDQ4OWp8TVJ9Eq1xzCtB9fX1VpwQxBnQHQJBASvgJgj/utZ9Bt7S0WIbJRnR4WDk9ym96hZNmzvibAsHk2bNnlclkLBBi7X2cnZpI28etfbqWdMKbpfDhM0SYiESNRMXwMVEtAQVQEIJyxALz000KHnBySbe50BTXpBOlG3gsVCjStA9zzZubm42RUi6XrXDi83sp2PgbSUdHh9bW1ixjIMoaGhqy0+q/+tWv6pVXXtHly5dNNbm6umrFHq4ZODyRFREZ0BO9skdGRqx1J5schVG/JSaOkUwC9ghtVimG8jzXC6HE8vKyLl++rOvXrysIAk1NTWl9fV3j4+PGUjhz5oyuXr2qy5cva3d3V6lUSs8++6xu3rypkZERpVIpxeNxzc7O6sKFC3r33Xd1fFzpG7O6umrnIg4MDGh1dVXj4+PWdyQej5t8nznGfEM0QkRO8bmzs7MKh5ZkjAQ2SpxAW1ubMYGYi/6hFj6rhk2eNUE2trGxYdChT5HE2ZAlAv21trZa4yIYP3wOXQBxmI2NlRORaCpFtkNUy3F0OL+7d++a4/ZrPuDxZCRkjPSClyqb8+DgYFXAI8kynOvXr+vMmTOm5uTsRBqgkQ2ydnHsQJyslePjY9ssCKDIGIrFoiYnJ41hdefOHWuUhSAHCA88XpL1xW9ubrYNt7Hx5FR3Nm56qezt7dnxgX7/GjpwEuyRWfqQ7L3sVDhtdhaI/VxcVFEoH3nep/fgHKWTdohQ6yiQ+JJRbjYO31c90kxIkqmT4HBSmFpZWdHExIRREom+oFbt7+8rEonY37EZUeBg8nKMGhG8f9KGJGNGUGDk9bFYzBr70zDq8PBQ4+PjpmRjw2PiS9Xc9+3tbYuoSe9Jd3EcyOhXVlYscgJ3zOVydnRUPp/X3Nyc1RUQChB5cB2am5uVzWY1NTVljpx72NfXp1KppK2tLc3NzVkks729rUuXLlkRdWZmRpubm+ZUXn31VVuYAwMDmpqaUiqVUqlUsvHRla+3t1dXr17VxYsXrfUABci2tjZFIhGDDygWsdDp9AfNj1aiqVRKIyMjkk5OcOGwBYKLs2fPWkCB6AMIAs49BUfuOwEE9Q/oeLyupaVF2WzWRDPgpr4KkqzNx5bJbnzBFN8XfJ95zYZDVgvrhj7f9Cvn+DOyNdYJxXFovC0tLXbijnTCriID6erq0tLSkgYGBhSLxXT16lVdunTJCrVw3uPxuEW5fsAFw4dghe8Jzk2biEQioVKppHg8rvHxcdM+IHqCAQN1ECjGr6dtb29b9kXbCP80qnw+r1gsZuwSaggtLS1G2VxfXzcHTXDJ9fB7BH2UnQqnDd2IaI1F7tPIwMRoU8kEQS5L5AYWDsZFitzf329czIaGk2OOfI4r0SxFDYQhTMT9/X2Njo4alEHhgMXgR0hMLKIdIBkEGET6SGTHx8e1tLRkzBSoefQrJqpNJBIaGhqy3sV8XzC26elp61e8uLhomDnXtlAoaGZmRhsbG6buhBrp07eIBIhacF6RSMSuS7FYNH4pPZvX1tYsXadYg0O4du2a4vG41S1IGWm52dRUOWfx2WefVTqdtmp+oVDQe++9p9nZWWNzcCLLU089pXQ6rTfffFP9/f0aHx9XR0eHksmknTyPaKizs1N37txRIpGw5l6wZHZ2doyCCUWN8bW2tppzyGazampqUldXl80f5tTBwUHVkXGk0wMDA6aGxXlub29XOeH29nbbmHktxTcceE9Pj8mtfTw5k8kYNOBDLLwnETDU1L6+PpXL5SosvLGxUevr60Zx3NvbUywWUy6XUyQSqRKgNTc3G+X1scceUzqdVnd3t0Fsg4ODhuUT3aNiJVLnmrW2tiqVSikajVrUmUgkVCwWlUwm7fsHQeXUotHRUdvgWfMEAIeHFfn5ysqKdQ1saGjQq6++qkgkUoUdA7VCJhgcHFSpVOmcuby8bLCs31a1t7dXKysrVQ2kdnZ2rJ2vJINId3d3LYMGZsU/oAsgoPIVw9TF7mWnwmmTNvgwBFgylC6/IAc0wQ2A9gMDo6WlxQoaOFciTXAlqEo+mZ5+F75Iwe93IlWiEy6qf/OpEPvcVZRc8EqJ9in87O3tKZlMmgLw8PDQ+jtDFzw+PjanwmYhyaAHvgcbElSmpaUlffnLX9bi4qLS6bSuXLlSRR+kXzeTvrm5ueqMRh8COjo6MoENk5+iKRkR16hYrByGnEwmFQSBHfKaTCatl8rh4WHVOYXlclnpdNqw1Js3bxp9bHJyUsfHx3rxxRe1srJivORisajR0VHt7OzAaTXubDabtXsHpW1kZEQvv/yyLl68qEwmI0laXl7W1taWJicnjZGBCAMHgLNpamoyEUcmk1FnZ6dt+MBFZCRkBg0NDVpZWbEim08VlE6icwqdFIj995ZkRdT9/X3bNPb39zUwMGCbWHNzs6XYMBhwZkSiFOP8CDeXy1X1E+He4LTgOpPenz171mC+bDZrp6sXi0ULsFZWVizaZV1LlSw3mUxamwi6WRYKBcuauf7M/YODA+VyOWtdSk0GgZh/6AAtA86cOaOxsTEtLy8bgwSY1M9YFhYWrEkbh3GQNQALsdYoyg4ODiqRSFi2RDZPYZTsCF/A3OF7kokyVj6PMfmb9MfZqXDa0kn6TnTjCwGgwEGN8/nVFG2INsvlSoN8qEAUfg4ODqr43PwNaQ6bhN+rxJdDE53jKIk+fbYDzeLb2tokVZPxfeqgrzC7e/euFSKampoUjUZ19+5dYytIsugH/JFImqiciTE8PKy1tTW1tLQYntjX16dEIqF8Pq9UKmUnp8B42d/f1+bmpjFYLl68qJ/+9Kf60pe+ZOO+ffu2pqenDT6RKmKEQqGgaDRaVXCliJnL5QwuOTo6UiaTsfQT/BzVoI8Lk5JSeJJU1eT+3Llzmp+f1/HxsUZHR9XR0aH5+XkNDw9LqjhCcEdam0YiEV2/ft0WBgVanA+sDWCDjY0NNTU12QGzUArJnqCg4bAZG04KR4kDBBoDZiPCxaAuAktR5IVXjeiIawlLxcfG8/l81Yk5zJGjoyMlEgnDvWFB+K0KcMQETLlcTuPj40bhpN1ob2+vwURzc3PGk15eXjZ1LdgwWPLR0ZEFMDj+QqGgnZ0dCzZ8bJ6onXsJbITt7e3piSee0ObmpmWIkgx/b2ho0Pj4uG7dumW/I9JnY6eBFxkF14FNvrm5WYODgwYbRaNRLS4uWj2I/vM+gwkVrS//JztmTgDPEETs7+9bxgxUQlB6L9HjqVBENjU1BfSgIJIql8uGYx0dHRnDg4IdBRPSUCATMFJoPTgAaIFcULDcD2Nx0snhsCxEoA3/wtJ/YmBgwLDAzc1Ni5LC76UPPvjAxCGchE0WAEYPPYzDS0nLmpqalMlkrLcx0QhQESIBjuLyVWKky6SWly9f1vLysg4PD6uiFjYrZNJDQ0Oan5+301rA1pknsG92d3e1urpqkxqMnWsDV5YDaVFYctgDkehzzz2nhYUFi8ZZUERAh4eHFu0h2kmlUpqYmNCtW7dMwcchsjTqB6fn0GGiOYQX/f39ymQytsihZ8JXpij8YXkzcwCHxdxhg+rs7LQaCnxgsGcyQbjozE+ieTB00mi/4N7Z2WlCE4rVPiwHq4ZsivsFUwnnvL+/r0uXLml+ft4yQE50TyaTtsnwvswnPjsajertt9/W888/b4wiIsRSqWRceB/O7O7uVi6Xs/kxNTWlmzdvWlZK9uqf5E6mNDw8rDt37tjaOTg40PLyssFvvhCqWCzaaUTAghx3RuYIUwY6YC6X09jYmIrFYlX3Q3ruDAwMWMsB2DSIqvj+U1NT5oBpxcDmSD8d2sP6WQebqM8jLxQK/ho5vYpIX6YMrgWDgt0MTJEbRIrORIdTDDWHYqV/pmJTU6W3QzQatSibz+KC47jZEHAiQDREhixsNhlEFVR+ERuwYNm1e3t7LaUkTUJQAPZJVZ5jw4IgMIEHhVUKqT6Xlgirr6/PUk1Sa2AYGlT5VMalpSVdvnxZb731lmU6hULBimxAGtD12AhJAQuFgnp7e+1MSNrWwon3MxmYFTAw1tbWjCIIHQ3a49ramp2dibOEkseZgXt7e7pw4YIODg70zDPP6MaNG0aPI5PY2dnR3t6eBgcH7QxHnPfg4KAxVMbGxrS7u2uR1cTEhNU3KOzSeMtXBpbLZaVSKaut4HgHBgYUj8dt/ND4/OPPYPAgkyfTA54jeIFHzL3wWRtcTwp6+XxeAwMDxnAAPsnlcsbZZ4Pyi+9kkGziHR0dmpub0+uvvy5JFnEHQWBzhboB67RUqhxTt7e3Z0XLRCKhF154Qa+88oqGhoaUyWSM88z1lU4Ou/al3y0tLYrFYjZH0um0vva1r+nWrVsmrjl37pwxkzY3N+3gEHjfH3zwgR3mMD8/b4yrvb09PfXUU5a9QniQTg6jSCaTlkXTFRI41DmnyclJo/z5jCEyde4lVEPgVoJR/JkPseDYP84av/e97z1YD/wZ7Ac/+MH3WJSwJaST1A0Vo9+hDOfBJOKEEQqDTHTEFaRaPuZENOI7In6GCcBY4Bvv7e0ZhYgfBEMyAAATjklEQVSI5vDw0FJqYAZUU2wmUOdIoXd3d9XX12eRPwWt0dFR3bp1y451ImLr7u42rJFIGaYHkxSnGIvF7HDYxcVFk/EzcRKJhIkVcAoLCwsW2SMCiUQiSqVSRmMk6+A7LCwsaGZmRpFIRPPz87YpsojhOqPCJB0G3mpsbNTo6KjW19ct6hwbG1Nvb6+6urqUTCb1jW98w0Q9hUJBKysrFhlns1mNj4/r6OjI+NlEULu7u3bW4fLysqanp1UsFi0zSqfT2tzcVE9Pj+7cuaNCoWDMk+7ubp07d063b9+2xXx8fGwUrjt37lRt9DjMwcFB23w4RcfvBcMGzcbOhi/JsiYWMB3f/J460EOBccBrERux0R8fH9v3pxlSqVRSOp3W1taWFdAaGirHgUUiERWLRWUyGR0fH9t5pk1NTcpmsxYxdnR0KJPJVGHbpVJJkUhER0eVQwD6+/urcOSGhgZ1dXVVBRIwa4heaRaXSqU0Ojpq8BoQSz6f1/T0tN555x2NjIxYMzacJFALUCdBRCKRsOIxkXs6nTYxDgHHnTt3bFOD+08hMRqNam1tzeoP+AOyA5SV+Xxezc3NFnT5rDEyb66XrzRtaam06fXZXRS+v/vd737/o/zlqRDX4LTYfYg+cJ7cfF+WziIgnSGSxWlLJ1RCX+EoyVRM4JvgqThTxBcsDqIZdmEfR0T15EewOH/ST7/AJcmoeUw4Cql+43TYNKR8SK3Bkn2pNrjq9va2SeWJilpbW7W+vl51kjnXO51OV6kYh4aGrLET8AA4fFtbmx3DNTg4aIU6Ij+oljBS6FTHxjIzM2MUNEkW4W5sbBhdsq2tTaurq8ZHZ1OJRCJaX19XEAQm8WaiU7gdHR1VNpu1aAZobX193eh/3d3dWlhYMA4uBTb6SiOOADahkE20DnQCP5gNXJISiYSWlpaMP8817OnpUWdnp4aGhjQ5OWmwE3g6wQo0Or8pFhJumin5sCH0QenE4eNQgJWI5GCMsLlDE2QT4UDlwcFBc8wwcCiOM4/Pnz9v+gFOTCII6uvrs0Mz/MBLqjAkOPS4UChoaGhITz/9tHHXGTfMiv39fetL3dnZqVQqZWKjUqlk97pUKhl/G1ICvYtaWloMHqSftu9LWltblcvlND09bdeHwI9WGRzpB2ZNNgI8hXTfJx2Q+VIUpgkYxAmyVOYB38NvV3EvOxVOW5Jxd4l+feoTERTMDhr3tLe3VxH8iXSJyH38iOqxdMJPPTg4UD6fr1J/wS2NxWKGYxLZ43BYWOCdwASMF4eRzWZVLBaVSqXMCfP5RP+STHCRz+c1Pz+vxsZGS21xyjgiogRwX/jWXA8cydbWlvr7+825UNzBNjY2FIvF7G9IV5H9+mrCoaEhU46Gp0QrnU4rGo2qoaHBUveFhQXr0ra5uWlUrtbWVjtBm83j1q1bcs4pHo8bBY5NbG9vTxsbG4bPxuNxW0BsBhRTWUhdXV3a2tpSLpezrKq/v9+a/W9ubtrGRqMlmCeS7BCBcrmsjY0NpVIpg6/W1tbslHQK2TjTUqlk0T/QXD6f19LSkuLxuFKplFZXV7WwsKDFxUWL/sisKGwSfTJP2tvbrQAZiUQs+m9ra1M0GrVsi7lA9M5mQY/w9vZ2k7zPzMxodnZWIyMjVtjs6emxzR8hzJUrV9TX16eZmRnLnID4EERRyO/u7tbs7KxlHjCYuB7+gQO0EJ6ZmVEul9PCwoLVUsCKYVKwSbS0VFoGZ7NZzc3NaW5uTkNDQxbJouolEKIATZ8djns7Pj62OU0Bn3l37do13bx50+4r653Ng83Pd9CQIshqfIYbkTUOXpK15KDgi4+DZEHQ45wztfPH2X05bedct3PuD5xzt5xzN51zzzjnep1zf+qcmw//7wlf65xz/9I5t+Cce9c59+QnvT87F5EPuBZfXpJxQJk8RBf8PTshuCC7FxedVBVMiR2PqIBdsFQqmfCBjQT+LQoomCySTN48OTlpi5wbRtN5IipoYxTZmJikw6Ojo+rv7zceLbDNzs6Otra2rKpcKBQ0MTFh6dzU1JRJ9qnAUwAcGxuzSc+mASvl7t27WllZqcKdj4+Prei5tbWl7e1tpVIpraysaHl5Wc45Owzh6OjIIl0iX2ChfD6vxx9/XD/72c/0/vvv2/tcvHjRUv5isajx8XHrS46yzW8RgPiDwuz09LSJroATgE0QouBU2FjS6bTy+bwWFxc1NDRkmxq1EtoAcIoPxT5YKyMjI9Zzorm52TjJw8PDikQiikQiNh/Ar3G6CGUYL9e4WCwqnU6blLqzs1NdXV0aGBhQX1+fKerovxGLxXR0dGQS9q6uLo2MjKipqUmDg4M6d+6cpqambB4ODw9rdnZWo6OjSiQSpkIkwKGQStDBnKFgDL56eHhoDb+4hsPDw4ZbNzU1aXl52TKdCxcu2HU4Pj7W5OSkFWl7enoMupQqCsO5uTlrb9rf368nnnjC4DiYK2+//bby+bx2dna0uLiopaUltbW1mbMEW0dpiJYgm81ak6xUKmUbFcwXahO9vb3W093XB8CWglGDuhHYiUIqqmeKrPTzRpoPJBj6RwtAyfLxRyAHfrb+UXa/kfYPJf3PIAjmJH1J0k1J35b0chAE05JeDn+WpF+UNB3++5ak3/qkNwfb8qlBpA4+OZ3iEY8pVuLIwJxwrMAapN6IGMAIeV+wQ9KYo6OjqnQLmhYdzDo6OtTW1qaxsTFTO1HYwImTvvX29hrfFyk4E5cJ093drampKWUyGSWTSTulmijK778B33tlZUVSBRe9ffu2ReClUslwZrII1HvwRMkywOOpcO/u7hq5329+RIGY1BJBBn0x/GJpT0+PFbhgaVCU9DsXjo6O2qIPgsAOgCBSI6rd2Niwa1koFJRIJLS9vW14P9BTuVy2jQMub7lcViaT0fT0tA4ODjQ8PKy7d+9qZGTEWDT0C6FRTxAEmpyctPvii6rgzxPl+Ti8c04XLlzQ448/rrm5OaPANTQ0mMqvp6dH7e3t6u3tVXNzsx577DHDwWE7SBXaHAwmWFHAC3zHnp4em5/RaNTmGOuI9QBkBlQFfTGVSunKlSvW5Am1Ymdnp7q7u5XJZCylHxkZMSqhVIG26J5H0AM758aNG7apZ7NZdXZ2amdnxyCvjY0N4zk3NjZqYWFBm5ubkirClGQyadS5TCZj0eeZM5XDMlhDYMoDAwNKp9OamJiwCDmRSGhxcdGgQKLcc+fOVbXXBYYic2N++zUBitC7u7t2DizZAEwVfBjB1+LiogUDwHls1swZn42GWAtiAd//4+wTnbZzrkvS85L+XTi4UhAE25JelPSj8GU/kvSXw8cvSvqPQcVek9TtnIvex+eYYwKUR5DgFw1JwSRVqb+IlMG7perz9mhQznv56SS4LdE7RTJSb2AZ5OQ+xxQHwg0mgiQqAx8HamCh0YsCyXVzc7NJW8NDPe09/R67FGcjkYg5Wr4zG1BXV5du3LhhC5RoAKy7oaHBjv+iYBQEgfr6+uz6+Mwadn9oXNyjcrmsXC6nWCxm/HgKpx988IGy2ayGh4d1eHioVCplnHea/czNzVlhmEXE55VKJVtsExMTtllLso18ZGSkiqfOnADC4HqTfZG6IuwgWKAR2Pb2dpXUGnkyuD28WzYJNlTaeeZyOWuCBNsnFotpfX3dFHDMVSAoIBEgOzIr5hwSe74f92d9fd1gHpwAcwXYELYQa4PN7Pz583LO6Y033jAHxrwmWGhsbFQ0GtX+/r5WV1eVzWY1OzurM2dOjvaDrwy0yJynxW9bW5uSyaTBDGQPnZ2dKpcrBwxTg4LJBGMFLBqMnHkCd55a0OLiorUyoCUAWDbrf3x83LJkInSyTrKztrY2tba2Gi8fh0pzL7J0JPk+bo/fYI2MjY2ZYyfqhmGCQrShocFqa/QSQuDH2D7O7ifSnpC0Iek/OOeuOuf+rXOuTVIkCIJU+Jq0pEj4eETSqvf3ifC5KnPOfcs596Zz7k2fEsbCY5LBF8Ux4tiBDnzBjM8yoZDkR9v+wpVOToTmYoOhAr8gQUdlyHjgDDNmKFIULHBydB9bX183CS3N8nlPeMcHBwcaHx83PjcTGPI/EQMin9XVVXO24KE4hNu3b1edhcdhCUxqviMLp6enxyJflHB+C0kWIX1EeEyPFya1JIvwGhoatLS0pIWFBYtmiMZWV1cN86UITBXeVwHu7+9rfn7eNlbwXVgIa2trpriUZBsJGxgFyFKppFgsprGxMcuq/OZG29vb6u3ttQjbl2kTpbNJI8VmwbKxUoBiHDBcgFhosDUxMWGQHQVnGng1NjZWdUKEtsicovbB9Y1Go9a98ODgwFqFnj17VktLS3r//fcNitvd3dXa2pri8bg2Nze1uLhoWW06nbYC6c7OjlZXV7W5uakbN25YNlIul/Xaa69Z9jI8PGxc44ODAyWTSeOvp1Ipi8KXlpbU3t6ueDxumWNPT49u375tvWvAqPf39xWPx7W2tmZUOpqUXblyRdeuXVNnZ6fS6bTRcXd2dnT16lUtLi5aITWfz+v555+3DIb1sLKyYuvX10vgPGFFEfWWy2VdunTJsmey5VKpZLUANkp8CAVloDGYOzhukACwa5+x5jvrzyWucc49Lek1Sc8FQfC6c+6HkvKSfiMIgm7vdVtBEPQ4516S9I+DIPg/4fMvS/oHQRC8eY/PKEiK33Mgj9b6JWVrPQjPTtt4pNM3pvp47m318dzbTtt4xoMgGPioX9yPuCYhKREEwevhz3+gCn6dcc5FgyBIhfDHevj7NUmj3t/HwufuZfEgCJ6+j7E8Eguj//p47mGnbUz18dzb6uO5t5228dzLPhEeCYIgLWnVOTcbPvXzkt6X9BNJvxo+96uS/jh8/BNJfy1kkXxF0o4Ho9StbnWrW90+h92vjP03JP2Oc65F0qKkv6GKw/8959yvSVqR9FfC1/53SV+XtCCpGL62bnWrW93q9gDsvpx2EATXJH1U6vDzH/HaQNKvf8px/JtP+fqHbfXxfLKdtjHVx3Nvq4/n3nbaxvOxdiq6/NWtbnWrW93uz06NjL1udatb3er2yVZzp+2ce8E5Fw9l79/+5L94IJ/5751z6865695zD0yW/xnGM+qce8U5975z7oZz7u/UckzOubPOuTecc++E4/l++PyEc+718HN/N6xxyDl3Jvx5Ifz9+Qc5Hm9cjaFW4KVaj8c5t+yce885d80592b4XC3n0ENtNfEpxzIbXhf+5Z1zv1nj6/N3w7l83Tn343CO13Q+f2aDUF6Lf5IaJd2RNCmpRdI7ki49gs99XtKTkq57z/1TSd8OH39b0j8JH39d0v+Q5CR9RdLrD2E8UUlPho87JN2WdKlWYwrftz183Czp9fBzfk/SN8Pnf1vS3wof/21Jvx0+/qak331I9+3vSfrPkl4Kf67ZeCQtS+r/0HO1nEM/kvQ3w8ctkrprOR5vXI2qiO/GazifRyQtSWr15s1fr/V8/szfp6YfLj0j6U+8n78j6TuP6LPPq9ppxyVFw8dRVbjjkvSvJf3KR73uIY7tjyX9xdMwJknnJL0t6cuqiA+aPnzvJP2JpGfCx03h69wDHkdMlR43f17SS+ECr+V4lvX/O+2a3C9JXaFTcqdhPB8aw1+S9H9rfH1QafeG8+ElSb9Qy/nzef7VGh65L8n7I7LPJct/UBamYldUiW5rNqYQirimimjqT1XJiLaDIEBr63+mjSf8/Y6kvgc5Hkn/QtLfl3Qc/txX4/EEkv6Xc+4t59y3wudqdb8eSquJB2TflPTj8HFNxhMEwZqkfybprqSUKvPhLdV2/nxmq7XTPpUWVLbYR06rcc61S/qvkn4zCIJ8LccUBMFREARPqBLh/jlJc4/qsz9szrlvSFoPguCtWo3hI+zngiB4UpWulr/unHve/+Ujvl9NqsB9vxUEwRVJuzrpulmL8UiSQoz4lyT9/od/9yjHE2LnL6qyuQ1LapP0wqP47IdhtXban0Xy/rAs48JuhO7zy/I/tTnnmlVx2L8TBMEfnoYxSVJQ6ej4iirpY7dzDm6//5k2nvD3XZI2H+AwnpP0S865ZUn/RRWI5Ic1HA/Rm4IgWJf031TZ2Gp1vz6q1cSTNRwP9ouS3g6CIBP+XKvx/AVJS0EQbARBUJb0h6rMqZrNn89jtXbaP5M0HVZxW1RJpX5So7HUTJbvnHOqtL69GQTBP6/1mJxzA8657vBxqyr4+k1VnPcvf8x4GOcvS/qzMJJ6IBYEwXeCIIgFQXBelTnyZ0EQ/NVajcc51+ac6+CxKrjtddXofgWnt9XEr+gEGuFzazGeu5K+4pw7F641rk9N5s/ntlqD6qpUjm+rgpn+w0f0mT9WBdsqqxKl/JoqmNXLkuYl/W9JveFrnaR/FY7vPUlPP4Tx/JwqqeK7kq6F/75eqzFJelzS1XA81yX9o/D5SUlvqNKi4PclnQmfPxv+vBD+fvIh3ruv6YQ9UpPxhJ/7TvjvBvO2xnPoCUlvhvfsjyT11Hg8bapEp13ec7Ucz/cl3Qrn83+SdOY0zOfP8q+uiKxb3epWty+Q1RoeqVvd6la3un0KqzvtutWtbnX7AlndadetbnWr2xfI6k67bnWrW92+QFZ32nWrW93q9gWyutOuW93qVrcvkNWddt3qVre6fYGs7rTrVre61e0LZP8PcYfG1JjiOGYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(img, cmap='gray');"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((602, 900), (1, 602, 900, 1))"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"img_arr = np.array(img)\n",
"img_arr_resh = img_arr.reshape(1, 602, 900, 1)\n",
"img_arr.shape, img_arr_resh.shape"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(42) \n",
"tf.random.set_seed(42)\n",
"model = Sequential()\n",
"model.add(Conv2DTranspose(1, (2,2), strides=(2,2), input_shape=(602, 900, 1), use_bias=False))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"ct_layer = model.layers[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's set weights for `1.` for simplicity."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"ct_layer.set_weights([np.array([1, 1, 1, 1]).reshape(2, 2, 1, 1)])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"W = ct_layer.get_weights()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(list, 1, (2, 2, 1, 1))"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(W), len(W), W[0].shape"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1., 1.],\n",
" [1., 1.]], dtype=float32)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"W_resh = W[0].reshape(2, 2)\n",
"W_resh"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"y = model.predict(img_arr_resh)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, 1204, 1800, 1)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So we doubled image shape as expected. Let's now check if multiplication rule that we checked in the simple case holds here."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"y_resh = y.reshape(1204, 1800)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[16, 16, 16, 16, 16],\n",
" [17, 17, 18, 18, 18],\n",
" [17, 17, 18, 18, 18]], dtype=uint8)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"img_arr[7:10, 6:11]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[16., 16., 16., 16., 16., 16., 16., 16., 16., 16.],\n",
" [16., 16., 16., 16., 16., 16., 16., 16., 16., 16.],\n",
" [17., 17., 17., 17., 18., 18., 18., 18., 18., 18.],\n",
" [17., 17., 17., 17., 18., 18., 18., 18., 18., 18.],\n",
" [17., 17., 17., 17., 18., 18., 18., 18., 18., 18.],\n",
" [17., 17., 17., 17., 18., 18., 18., 18., 18., 18.]], dtype=float32)"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_resh[14:20, 12:22]"
]
}
],
"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": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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