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@lstagner
Last active February 14, 2023 19:04
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Polyharmonic Splines
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{
"cells": [
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"interpolate (generic function with 4 methods)"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using PyPlot\n",
"include(\"polyharmonic_spline.jl\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Polyharmonic Splines\n",
"\n",
"Polyharmonic splines are used for function approximation and data interpolation. They are very useful for interpolation of scattered data in many dimensions. A special case ($k=2$) are thin plate splines.\n",
"\n",
"The basis functions of polyharmonic splines are radial basis functions of the form:\n",
"\n",
"$$ \\begin{matrix}\n",
" \\phi(r) = \\begin{cases}\n",
" r^k \\qquad \\quad \\,\\mbox{with } k=1,3,5,\\dots, \\\\\n",
" r^k \\ln(r) \\quad \\mbox{with } k=2,4,6,\\dots\n",
" \\end{cases} \\\\[5mm]\n",
" r = ||\\mathbf{x} - \\mathbf{c}_i||_2 \n",
" = \\sqrt{ (\\mathbf{x} - \\mathbf{c}_i)^T \\, (\\mathbf{x} - \\mathbf{c}_i) }\n",
" \\end{matrix}\n",
" $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#1D Splines"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = 2*pi*rand(10)\n",
"y = sin(x)\n",
"\n",
"S1 = PolyharmonicSpline(1,x,y)\n",
"S2 = PolyharmonicSpline(2,x,y)\n",
"S3 = PolyharmonicSpline(3,x,y)\n",
"S4 = PolyharmonicSpline(4,x,y)\n",
"S5 = PolyharmonicSpline(5,x,y)\n",
"\n",
"xx = linspace(0,2*pi)\n",
"yy1 = interpolate(S1,xx)\n",
"yy2 = interpolate(S2,xx)\n",
"yy3 = interpolate(S3,xx)\n",
"yy4 = interpolate(S4,xx)\n",
"yy5 = interpolate(S5,xx);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0xafd3810>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0xeeb4750>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax[:plot](xx,sin(xx),label=\"True\")\n",
"ax[:plot](x,y,\"o\")\n",
"ax[:plot](xx,yy1,label=\"K = 1\")\n",
"ax[:plot](xx,yy2,label=\"K = 2\")\n",
"ax[:plot](xx,yy3,label=\"K = 3\")\n",
"ax[:plot](xx,yy4,label=\"K = 4\")\n",
"ax[:plot](xx,yy5,label=\"K = 5\")\n",
"ax[:set_xlim](0,2*pi)\n",
"ax[:legend]()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#1D Smoothed Splines"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"yn = y .+ 0.1*randn(10)\n",
"S2n = PolyharmonicSpline(4,x,yn,s=1)\n",
"yy2n = interpolate(S2n,xx);"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x104cc090>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0x10727b10>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax[:plot](xx,sin(xx),label=\"True\")\n",
"ax[:plot](x,yn,\"o\")\n",
"ax[:plot](xx,yy2n,label=\"K = 2, S = 1\")\n",
"ax[:set_xlim](0,2*pi)\n",
"ax[:legend]()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#2D Splines"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"x,y = randn(50),randn(50)\n",
"z = exp(-(x.^2 .+ y.^2))\n",
"\n",
"S2 = PolyharmonicSpline(2,[x y],z)\n",
"\n",
"n=100\n",
"xgrid = ones(n)*linspace(-3,3,n)'\n",
"ygrid = linspace(-3,3,n)*ones(n)'\n",
"\n",
"xx = reshape(xgrid,n*n)\n",
"yy = reshape(ygrid,n*n)\n",
"\n",
"zz = interpolate(S2,xx,yy)\n",
"zgrid = reshape(zz,n,n);"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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EIjHJq88++aLVjtigbmjtPK/X8W0iCDHiCPZz3ctGE9qg3RHxc+O2pmbXkJuBtV+iUFEUKIpimeKzv7Wnj0kU9gckAIm+gq/zY/8PHNng/J580cu6t1bGt9HNtj+Zyt3HbogouETFy3nlryGG3cC62VQTp7IZ+2vwncWs1IGPFJJXYf9BApDoC9waPPgaNNbgYRhGx5Mvgo4ANhKWQY9v8wp/bOmm3T0GURSKgEjHq1ORzIs1/jm9TDVpZGDNr8stUgiQV2G/QAKQEBp7nZ/TTckwDBQKhaYp0nZfv5s3p07GtwUdWaGbdO/oRBQyKxHq4nZmUCKSjUShFwPrcDjc9Boir8L+ggQgISTspsTm9jo1eLCNzUuKtFW6EQHk6XR8W69ulnST7h1eRSErk5BlWZhIIV033gj6ONlFGFAvCvn0MS8Ky+Vyy1NNyKtQPEgAEkLh1ci5UqlYN41IJIJsNhvIzSHo6IAXU2rCO4MSzXHDSRSy+daxWEyI9LGo50ikz1wvj5FTpBA4UpPMjlOjqSbkVdgfkAAkhMGLkbPdCoXZu/h9Ewj6psIil15Nqb0+p5/wNYDdfF3CX9hGS5Y0zoh8/Yp0zJkgDIfDiMfjALxNNWnXwJpBXoXBQQKQ6DmsNoQJP6dvn2zkWbVaRTQaRTabRTgcRj6fD9yvz0/YjUmWZei6jmg0ilQq1fEED7rhEa1AjSZi0y+ilEXleOw1hUEbWGuahmKxOEkIhsNhFItF6LqO2bNn+/TupxYkAIme4WTk7NTgwY88y2QylgdVkASxsbEUClB7762YUhNEJ7RqJ0KikHDCizB1s6Xx8zqy7xOVSsV6PG9gfccdd+CVV17BXXfd1eY7ntqQACS6Tit1fvaRZ/abgtc0ZSdr9eM5+PcCAKlUynfxF+Rx0DTNusny6RxiMiJHb1olKFEokkgU0epoqq2pneuIPaaZgTW/Lvs9SZZlZDKZltc7KJAAJLqKlzo/VVWtwvVEIoFEItF1seHHjdepZjEWi6FQKARSsxhEulrXdRSLRWsclK7rdTYOwJEUPolCMQniuuhEFDI7J2KwaXYdeTWw5ruM7RQKBQwNDXXnDfUhJACJrsDEEC/87JsA74HH1/k1QpIkK4oY1LrbwW18G5tgIjosPc8281QqVfd7+82ZdWTbb9A0EmowaFUUss8HpY/dEfVYBLkut/RxMwNrAHU2Ney6kmUZRx11VGDr7XfoaxgRKEz4VSoV6+Zvv9GzKFOhUAAAZLNZT+IPCC4F3O5NzjAMyLKMiYkJ6LqOTCaDbDZrFUq7+QD6gV/PqaqqtX5JkpDL5RCPx63zxjzD4vG4tdmzFD17n6qqolKpQJZlyLKMSqUCVVWtLwDE1Idt5tFoFIlEAqlUCul02rqGWDSQRfxlWUapVEKlUqn7stjN9YqCiJ+RXq2JXS/RaBTxeBzJZBLpdBqpVAqJRMLaJ3RdR6VSwf3334+FCxfiT//0T7Fr1y5s3rwZb731Vlvrl2UZX/rSl3DBBRdg2rRpCIVCuPPOOz099tFHH8W1116LRYsWIZ1OY+HChfjYxz6GPXv2tLyOoKAIIBEIvJFzsVi0mh7s6V7RPfC83jR6Pb7Nj9exRy1ZhJYVVjfCHtH1MouUjxJS9GcwYMX7disRL+njoLzfRBRbIiPC55T3KpQkCdVq1SoVOvHEE3HNNdfg5ZdfxjPPPIMDBw7gzjvvxMjICE499VSceuqpOP/883Huuec2fZ23334bX/nKV7BgwQIsXboUjz/+uOf3f+ONN2J8fByXXXYZjjvuOLz55pu47bbbsHr1arz00kuYNWtWp4ehY0gAEr7Ct+az1CxL0/LRL14sdeKBJ0IEsJXxbUFGANuFF+L8RBVmu9MOTmayvd7oCTGwX/ud1BRO1WtFxLF9It2zeNi62HWwZMkSLFmyBABw8cUX4y/+4i8wb948bNiwARs2bMC9996LcrnsSQDOnTsXe/bswcyZM/HCCy9g+fLlntf1zW9+E2eddVbdzy644AK8973vxW233YavfOUrLbzLYCABSPiGW4MHfyOzi6VkMtmxB16QNLrp8RGzdsa39Rp7k4ofZtSNoI2e8Eq3rxW6prwj6rFyawKZN28eLrzwQlx44YXWz73WYsdiMcycORNA6wLYLv4A4D3veQ+mTZuGjRs3tvRcQdE/uxUhLLyRM+vw44UfiwAWCgXfxVIvIoB+pK57NbWD4Was3W0abfSNjGSpyaQ1psIxCkoUihrZEu2ciXqc3NZlmiaKxSJyudyk3/Uq6MBq3adPn96T17dDApBoGycjZ/sNltUBsr8Nos6vWz6AzKKmk/Ftvb6pMzNqRVGsdG83jLVboZGRLL/J20dOAbVv9s2G0xNTBz9EoYjCRsQ1MUT7XDXyJywWi0L5AH7zm9+Epmm44oorer0UACQAiTbwauTM1/kBQC6XC8T/Lij457ZHzPwY3+Y3jTYNu3j10qQStMl2K7iJQr7JBKidJ7bZOzWZiLZ5dQMR68m6ZSXiVRQCNSsjkUoNev36dkS5F7SCSD6Av/rVr/DlL38ZV1xxBc4+++xeLwcACUCiRbwYOdvNj0OhUN0UDD/hmyqCeH7DMCwj5HA47Mv4tqBMm92oVqvW7OFmTSp+vm7QSFL9HNJisYhYLGbZi7DoNG9c7ZQSJLpLL4REI1GoKErDmbW9EIUiinZRcTtWpmlClmUhBODGjRvxgQ98ACeffDK+//3v93o5FiQACU+wOj92g3Qau8NHyXjzY0VRrOfol5sa26QURYEkuY+iExk+3euXeG10sxXh2NhFIYBJkR9N0yaJQqopHDx4KyKg5mVJTUnuiDiejuG0JlmWYRhGz1PA27dvx3nnnYeRkRE89NBDSKfTPV0PDwlAoiFOdX72VJpTXVk0Gu3KjcLvCCAfwTRN0xJOfkaKgkqtsufk0+8A+lK8+gnbqJkwZFZF/CZvnyxAonCw4BvWROlUF/GaE3FNbvfSYrGIdDrdU2eGAwcO4LzzzoOmaVi7dq0Q3n88JAAJR7zW+VUqFWsMmJvQCDpN6xe6rkOWZSuCCaDOEFlk2HHlbXaYa3676xepBtBPeI9CuyjkawrtopCMq/1DpGPX7BrvhSgU8XMn4poA932lUCggk8l05Vrbs2cPxsfHceyxx1r3FFmWcdFFF2H37t1Yu3YtFi5cGPg6WoUEIDEJvs4PwKSIn1OdXyOhEaT5sR/P7RbBzOfzwt707DCRXigU+tKT0C/aPV9uxtWNppmwjb0fRKEo6+qXz1MzuiEKRTlnPCKuCXD3AMxmsx0/92233Ybx8XHs2rULAPDTn/4U27ZtAwB86lOfwtDQEG666SasXLkSW7Zswfz58wEAV155JZ577jlce+21ePXVV/Hqq69az5nNZnHJJZd0vLZOGbwdgnCFCTu3Bg9AHP84RicCsNn4tiANkf3aCL1GYYnWcROFzTZ5duwNwxA+6k3U8Ctl65coFFEoi7gmwD0CyCxgOj23t956K7Zu3Qqgdo5XrVqFBx54AJIk4aqrrsLQ0JCjw8DLL78MSZJwxx134I477qj73dFHH00CkBADvsGDfZic/PxKpVJb3bBBRgDbxev4NpHWbIfZuhiGgUgkgmq12nXxN2jixssmzyLnqqpCVdVJG7zIkcJBJEiR3q4oBGBdSyJdL6Ksw47TuvL5vC8RwLfeeqvp34yNjWFsbKzlx/UaEoADDLsRaZqGQqEASZImfWNiESZm49JOhEmkFHAr49tEjQDy74F1W9vTk34gaiRCNOybPPuyxAy23Yyr7U0mQV1vdA7Fwqso1HXdauQSoftY1OuoURNIrzuARYcE4ADCaps0TbNqx+xpT6epF4lEoi8aIpxod3ybSDc9/j2EQqG69+B1tmW7NBMolOqcDN9kAjSfZsJv7lN9mslUfV/twotCFs2PxWIIh8NCWdKIeN4apYBF8AAUGRKAA4abkbMkSZYY5NOjfky96GUEsJPxbUFGwFp5XnvTjdN76JdO60HCqRu+2TQTN1E4VaaZiPSFiiHqZ4addxEsadhri3acGnkTsi5gwh0SgAMCq/Njws/Nz8/vqRdA7wSgH+PbglyzF3hrGhGabgh/kSR342qaZjKYNLrn9NqnUDQB2Ai/uoCnMiQApzhejJz5KISmaZ7To6LSScMKTy/fv5M1Dasp6xYUVewNdlHnZFxN00wIRrdEoajRW8D5Xl0sFoUzXhYNEoBTFK9GzrwNCgAMDw/7vnl0owuYbZKdNqw4Pa/f8Ol2p9fjU9Z2a5pGzxnUeu2vQXQX3o6mlWkmbHMXceMW7VoSaT1+jFwLQhT22xfBYrGIY489ttfLEBoSgFMQtzo/HrsNiiRJUFVV2M7XRs8L1NK9lUrFkzF1q8/dLarVKmRZbmpN0ytEFBKDSiNR6GRcrWkaqtVqz6eZiHgNibimIOhUFLK/F4lmNYCUAm4MCcAphN3Pz6k+yG4hwmxQ+ChgP8F7rkUiEd9r5IISrfzz8uleP2svu0E/RQSmOm7G1bIsW4LPbZpJL+1FCGe6cR5aFYVsUIBo14xbCpgEYGNIAE4BnOr8nIyc+Zoye51f0PVefkcA+fcDANFo1Pe5j0Hf1PgUPNDZFI8gUsCtXBP9+OVhEGDnLRwOWzWkvewkFQ0/0q1+0+vPkpMoZHXVLNosyjXT6FiRDUxzSAD2MbyRM/sgNKvzc6sp64Z/lB83Nqf3U6lUAit8D9IGJp/PQ9d131LWBOGFdlOBNM2ku4h4fCORSF3JQa+/SLgJeNM0SQB6gARgn8LX+QGTjXrt3nHNREY/dHy6jW9TVbXndi1eYYLdMIymk0hEg93sRfWiE2VNvY7gtEMjUehmXN3JNBNRzpWI9Mv102tLmmaQD2Bz+mPnISy8NHjw/ndsVFgzkRF0F2knEUC3usVu4Yco5juUgdrxYEPE/SDI88fqyFi6HUDPmgiI7tHMuLrRNBM342pRxQ1dx43xmirvtihsZgOTy+U8Pc+gQgKwT7DX+TndXJ2846LRqBA3t3YEoNfxbUF3GHcKs3VhkVhJkqAoihDnxQv5fB6maSIejwM4EglkPnQArPF05EU3tXEyrnbqPOavDf6aEE0AirYenqny+QlaFDr9nKWAqQmkMSQABYd9UMrlMsrlsjXNwv6tulP/u274yHmlk/FtQa2nnde2Ry5ZJJZFAYPAr/NXrVatdUYiEaTTaesmzd/Eq9Wq1b3cyIuOIoa9Jcjj7iQKnTZ3XhSya4a+LExGhHuwHb+bZfwShW7HqlKpQNM0qgFsAglAQbEbObP/5qN+rdb5NaIbKWA382Oedsa3iRYB5COXTh3XQeDXc9ujrgCsWkv7+WM3caDWhc0iPE6jzBiD1GE6yLBza/coZBNM2Jc8BnMu6JUoFO0aFG093aAdUcjQNM3a98LhMIrFIhKJRNenJ/UbJAAFxKnOz27EaRdKnfrf9boGsJPxbV7FZbt4PSZ2Qe4WuQxKsHaC0wQSdiNlNNqU+AiBU92Y1w7TVpsJiMaIcp3ZPQqTySSAyTWF3Y4gi3J8eEReU7c/l81EIWsAZPXJF154IQzDwAknnIB58+bhueeew9KlS63yFa/Isoybb74Z69evx7PPPovx8XGMjY3hIx/5iKfHj4+P47Of/SxWrVqFcrmMM844A7feeiuWLVvW2gEIGBKAAsEbOQOou2GyD56u66hUKh3PuRWFIMa3+UUra9B1HbIs+ybIu4l97Szqyq7DTjckt5u4vW6sUTOB16i2iJsn4YxdFAKNp5mwx1BZwWDD30/YtZFIJGAYBq6++mo8//zz2LBhA9544w2sWLECkUgES5YswWmnnYbTTz8dV155ZdPawLfffhtf+cpXsGDBAixduhSPP/645+vMMAy8733vwyuvvILPfvazGB0dxXe+8x2cffbZeOGFF4QaT0cCUACcjJzdoiCyLAcilLodAfQ7fR3kxt8scmlvvGmWdgjCcqed82dPVTdbO9uc/cBL3RhLF7K/pyaTqY+bKAy6rEC0a0laseJ7AAAgAElEQVS09YhomM1g10w4HMZ1112H6667DuvWrcMNN9yAO+64Ay+88AJeeOEFPP/88/jRj36EK6+8sulzzp07F3v27MHMmTPxwgsvYPny5Z7Xc9999+Hpp5/Gfffdhz/7sz8DAFx++eVYtGgRvvSlL+Guu+5q+736DQnAHmKv8wOcjZxZag6o1Vql02nfTYO7KQDtNjWiRsuapTztKVMng20RsYtvUdbuVjfGNn1d1xumCCn6NzVpt6zAiygU8ZoRcU2i4vYlulgsYnh4GGeeeSbOPPNM6+eKonhKB8diMcycOdN6jVa47777MHv2bEv8AcD06dNx+eWX4z//8z+haZowWTsSgD2imZEzUG98HI1GoWkaYrFYYBMjuhFJY35yftrUdDsCyAvYWCxm1ct5JYgIoFf6KVXNR4Ocpg84RYNYKpmaTMTGj898M+NqL7WmoiLa2kQdEOC2LjcT6FZrAdvhxRdfxKmnnjrp58uXL8ftt9+OTZs24cQTTwx8HV4gAdhlWPSlkZEzbx/C1/kdPHgw8G+HQRkJsxuxoiiBRJy60QXMp3tFq79sFsFtNd3r5Tn5v+kWjaJBzLaGmkzEJcj7V6Nrw22aCbsOWDZChGuDIoCdUygUeuYBuHv3bpx99tmTfj5nzhwAwK5du0gADhpOdX5O6d5GxsdBR7qCuPHxUUwAyOVyvkecgr5hG4ZRN8VDpEaVZnjtTO5n2MbP6grj8XhgTSb9ylQ6363gJgrtglBVVau8oNk0k0Gk3yKAvTSBrlQqjpHGRCIBAIH6wLYKCcCAYd9AmfcV4FznpygKyuVyQ+PjbghAv57fboKcSCSs6JPfBO0DWC6XO25UcXreoL/p8+cg6HSvaFELajIh3OCvDUmqTeVJpVKTygrs10a3vjCwzBDRmEaNKb0UgMlksm5sJqNSqVi/FwUSgAHBG5+yBo9mdX6xWMwy3XWiHwSgWxST3UyD/Cbp53MbhgFZlq3/7/b84XZg588p3SvKSMBe0mmTST/WE4omzAExo5H0haExokYA3ejlHOA5c+Zg165dk36+e/duALUOY1EQe0frU5yMnBvV+UUiEU8CQ2QBaO+KtUcxg4x6+V1LyPsSArXQvZ/iL8hjoes6JiYmfEn32tfZTxuAF9ppMqFJJp0hoiAFnK/tZl8YGhlXdyoK6ZpqTqP7UqFQwFFHHdXtJQEAli5dinXr1k0SzevXr0c6ncaiRYt6si4nSAD6CGt2YMLPyc/P7hvX6pgwEW+g1WoVsixb3cqNxreJuH4GE7As3ZtIJDAxMdHrZXmCXXOqqgptrSM6XhoJmjWZiHyNE/W0cq7cvjD4bVwt4vXTb2npYrHYlTnAe/bswfj4OI499ljrmrj00ktx33334YEHHsAHP/hBAMD+/ftx77334uKLLxamcRAgAegLTPgpilLX3NGozq+dTtigvxVKUmsj1VoZ3xbk2ju1VbFHYzOZjPDpXgYfsQRqPpGZTCaQ4z2oUYlmjQROTSYArLrfQWgyGVR4UchoJgrZ9dDPpQUiEHQN4G233Ybx8XErnfvTn/4U27ZtAwB86lOfwtDQEG666SasXLkSW7Zswfz58wHUBOCKFStwzTXX4LXXXrMmgZimiS9/+csdrclv+mOXExTeyFlRFMiyjFwuN+lm4OfEiyBn3npNAdvTpF66YruRAm71ue21cm7RWL/X7Nex4COWiUTCsqehzSR4GtWMsXGOTmMdB6VmrJ/w+zy4iUKvxtWiRgBFvV7dUsCdCsBbb70VW7dutV5j1apVeOCBByBJEq666ioMDQ051vWHQiE89NBDuOGGG/Cv//qv1izglStX4rjjjutoTX5DArAD7H5+QP2mbp940Wlkqdc1gJ2I2W51vnqhFWsUEW969oglS/fy9Uh+4HTOnDrTiRp8TWC1WkUikUAoFJrSTSbtINJ77Nb9iI8i242rnUQh21v4msJBuT680sjz1I8U8FtvvdX0b8bGxjA2Njbp58PDw/je976H733vex2tIWhIAHYA+1YUCoWsi5E3pe23iReNEHl8Wyvisp1JGKJEAO2R1277RDZbW68RbXPkN+5eN5mIcmxEuE5EwUkUsrIaFiG2lxb0ytRcxAigqDYw/QQJwA4Ih8N1o9yA2qQLVVU9p0ZboRcRQL/EbK8jgO1MwgDE2Tg1TYMsy1PWzHlQ8KPJpFub/qAg0rFka4lEIq4j7txMzen6OEK3mkD6HRKAPsBSikCtLssvw2A73RSAfjStONHtGkC7PU0776OXEUC+0abfGlQIb7TTZOJ1kglF3Boj6vHh709+XB+diEJRbaCa2cBQBLA5tJN0CJ8aBWou30E5fXfa7er1+VVVRblc9mRO3epzB4GboOLPTSwWQzKZbDlt3aubXrN0rxN+f0HoddR2kGnUZNLvxsSirksEvH7WGl0fjaaZ2GsKW0G08+a2D2qahkql0jMj6H6CBGAHlMtlFItFywKlUCgI9yFpBdZhXCwWPZtTt0K3atT4tHUzexovdFsA8eneoKLJRP/RziQTdt0YhiFEE4GIXyZ6fUz8wi7qvBhXe/nSIOI5awTbv9jsXcIdEoAdwKJjrM6vGylawP8IIF8fB8D32kVGUMeHrdMwjDpPPD/eR5CRVqd6S0r3El7h7UbcmkxYZkJRFKuOlyaZHEFUceNX44/T9dHqNBM/1+QnbvtgPp8PzAt1qkG7SwfYv2V0UwD6gb0+LhaLQVXVvp0bW6lUYBiGb2lrRtCbBKu3LJVKntO9TvSqC1ika0XUDb1b2OvFIpEIyuUy4vF43cZPTSZiEvT120gUNppmAsD6mUhfGhrV/4myRpEhAdgBTp5o/SIA+fFtrD6OCcKg3kMQx4dFzRhBpK2DgB0L5keo67qQ6V6v52zQhZfoMIHH8KvJZCogolDo5pp4UcjgI8lsvClfcypCJNntnkMWMN4hAegj/SAAG41vY5Y2/SAA7U0SQC0lH0TKNIjjwcR2uVxGOBz2XbgGAYsUEI3ph2PUyyYTkQSXaP52olw7fCRZkiToum41N3qZZtINUcgPYOApFouUAvaI2DuO4PRTBLCd8W2iwo9AY1GziYmJwOr1/DynLN0L1AS3n+dBkoIbFchHjPk6IVFHVxGt006TSauTTEQTXIR32Pn1Os2EPabb5QX5fJ4igB4hAegjQW7A7PmB1gRgK+Pbgrb96FRM2Ueg8U0SQYpvv56XT/cCQDweF75TzR6pjMViVvqQv9FrmgbTNOuiBrTR955Ort1mTSYiRIGmGiJ67jW6hvhIoVfjar9EoduXCUoBe4cEoI/0qgjfjVbHt3VDALYjkPku5U6aJNrBj9ewp92HhoZQLBaFusnbYcIPOBKpjEaj0DStbu41s9xh55YXA/1aR2YYBtatW4cHH1yN1159E3tf3whzfD+uikm46Q/+APoNN8A444xeL7MneNnwGzWZiFhGIPLnsB+xNyIB9TWnjaaZtGpc7SYAM5mMP29mikMCsANETQF3Or5NlBu0PXrZaASaiBFAfpoKgMAtg/x6Tn5eMnAkUmkX7/YUIOs0tQuBfjIrfv311/H3f//P+PWvZRSL01Ee3w9UF8DAO/Gv5c34xf8+iv9++GFkV62Cfs45vV6uEDTb8O1NJrquo1wuC/HlQJR7nR2RPhd+RCWdak4b3SuA5l8g3c4dTQHxDglAH+lGBLDRa/CCo52xZ0HfdFo5PrwIiUajTaOXQdHuMbF3WftpSxMUfKQ1FAohm81CluWWjoGX5gK+jkyklOHatWvx1a9+F9u2LcT06ZejUvgPJKrTsAjvRwQxbMJv8CqexQfMl/Gzz34WseeeAwTaqEXC7ToolUrW56BfJ5kEySAJUi/3CrcvkGw9bjYwNAfYG2LvSH0AfwH2UgBqmoZ8Po9SqYRoNIrh4WHXaFk7z+8HXp7bNE2USiVMTEzAMAxkMhlP4k+UCKBhGJBlGfl8HgCQzWaRyWQcxZ9IN3tVVTExMYFKpYJEIoFcLtfS9JRG74XVkLH603Q6jWQyiXg8jlAoBMMwrC8usiyjVCpBURRomgbDMLpynH7xi1/gppu+gx07luPoo28EcBAVeSvm4vcQQwIhhHA8TkICK/AbnIz/s2kz5LfeCnxdUwm+iYBdBywqHolErLKDSqUCWZYhyzIqlQpUVYWu64Helwh3unmfst8rUqkUUqkUEomEJRZVVbUa6dh9Y9euXVizZg0OHToEWZY7igAqioIbb7wRc+fORSqVwooVK7BmzRpPj12zZg3OPfdczJw5E9lsFqeccgq+/e1vB9ob0AkUAfQRPkUbtH8cw94Y0amdSK/qGO2m1O1EL4OcMtKMRuneTp63Fdo5BkywsuvHLraDSlW3UjgedHTopZdewte+dgfy+T/AMcdcD0kK4+DBhxANz8Uwjjqybkg4BsdiExQ8BhXfXrkSN/393/u2jiARUeQ085/rRpOJSF/CAHG7pHu1JrdGJF3XUalUrHvVmjVr8MlPfhIAcNRRR2HmzJlIJpM4/fTTceqpp7ZUE3j11Vfj/vvvx6c//Wkcd9xxGBsbw0UXXYS1a9fi3e9+t+vjfvGLX+Ciiy7CkiVL8IUvfAGpVAoPPfQQ/uZv/gZvvvkmvvnNb3ZwJIJBMkX7BPQZvHGyqqooFosYHh4OLN2Xz+cRCoWQTqfrGiNSqZQvjRETExOIRCJIp9M+rfgIbL0jIyN1P+ebVZgpdavp3kKhAAC+136Uy2WUy2VMmzbN9W/aSfey8+hnsTJrNBkeHm76t/bpI27XD389sPSt/b2xtJ7fHc12IcC6pwFnCxJWV9bKOnbu3Inrr78Br7++CEcffQPC4TgqlZ14882/wYzh92POlgTsn6jN2IXx0GbMOXYbvve9r2DZsmV1v69Wq6hUKkKk/dla0um0EMJClmUrwuMVpyYTv7pKi8UiYrEYYrFYy+8lCBRFQbVaDeT+2y5swlIqler1UixYOQHbK3RdxxtvvIHnn38ed911F/bu3YsdO3ZYDWonnHACPvGJT+DjH/94w+d99tlnsWLFCtxyyy34zGc+A6B2TpYsWYKZM2fiySefdH3slVdeiQceeAC7d++uuwefffbZeOmllzA+Pu7Pm/cRSgF3iD0FDAT/rVLXdYyPj1vpuuHhYV89/bqVAubTpaZpWunSdmr9ehEBbCXd6/S8vfruVa1WrXKBeDyOXC7n+frppohwSh3zKUMmSFnqmIkDr6ljwzDwta/djE2bZmHevE8iHK6JkkOHfgFJSmHarN+Hecw7AQAmJJgATACzwjMQSr0T+/aN4tZbb6uLUBHNaacshVkQJRIJpNNppNNpJBIJ60tLtVq1vtDIsmw1wVWrVdf0m4iWK4B46wHEW5P9sx0Oh3H88cfjyiuvhCRJ+PrXv458Po9XXnkFP/jBD/De977X0xfj++67D5FIBNdff731s3g8juuuuw5PP/00du7c6fpYVtaSy+Xqfj579myhxDMPpYB9JGgByEbymKbZdqSsGd34oPMbN9A8XSoCfGrGnq4WZf3NRCXfHd7u9JFebpqNUobMpJg32gYadxLee++9+NWv3sb06Z9BLHZkcygUXkAisQiRSArG3BTMoSFIe/cCqgpks0jMmoX4lsehqidgw4b1+PGPf4yrrrqqK8egVURL8Pi1Hi8NBM2aTEREtPMFiL0mtyaQbDaLSCSCk046CSeddBKuueYaT8/74osvYtGiRZMyM8uXLwdQKxd5xzve4fjYv/7rv8Y999yDv/qrv8JnPvMZJJNJ/PznP8eqVatwyy23tPL2ugYJwA7pRgSQ95Fj34aD8jkKugkEqH1A/e6O7VYE0J6ubnf97XoitgMvWIHWBLdo3pZ2+HpCNqUkHo83taLZu3cvvvvd+2EYf4Th4aXW86nqXmjaXoyMnGv9zMxkYNo+byMjx2DPniI0bTH+679W4/LLLxfe1Huq4zbJhL8W7JNMgFpGpdcd6DwirMGOiGtywjTNjrqAd+/ejTlz5kz6OfvZrl27XB97yimn4LHHHsPFF1+M73//+wBqX0D/7d/+rS6iKBIkAH3EbwHoNL6NRQGDIihhwjo9GX7Pvg1aqOi6DkVRrOgZP0NZZHg7naDsaETbHOzRIaeRZv/v/30L27fPwvz5f2Zd75IkYXx8HYAYcrkTG77GyMh87N37a0Sjx+Gttzbi/vvvx5VXXhnk2yJaxEuTSbVatf4Bem9LJOKXLREbUxpFADvpAi6Xy471qezLHctaObFx40a8733vw4IFC/Av//IvSCQS+PGPf4xPfvKTmDVrFi655JK21hQkJAB9xC8B2Gh8G4s+BYXfQooXsYx26/x6SaFQaKs7uZvw587J0y9IwSrixsWwdxI+99xzWLduJ0ZG/g9isZy1dsMwUCg8i2h0ASKRNEzTACBxVn9Hznk4HEMyOQ2KoiIWOxF33/0zXHbZZcI0E4hMLz87fMQ4HA6jWq1adkReJpkM6pjDfnq/xWKx7QhgMpmsC1QwKpWK9Xs3/vZv/xaRSASPP/64VfN36aWX4pxzzsEnPvEJ/Mmf/Ilw+x41gXSI0wejk82wWq2iUCigWCwiHA4jl8shnU5b32JFT8nxMG859q0qyPE8QRyXarVqCddIJNK2t6ITQZ7HTj39pjKGYeD2238IWT4eo6NnWcKwFukxoShbkU4vBMDXFxqHo0Y6TJM1l5jI5Y6CqhaRy52GN96oYNWqVb19c4Ij6n0rqCaTdhA52iYSbhFAXdc7EoBz5sxxTPPu3r0bADB37lzXxz7xxBM455xzJjV8XHzxxdi1axe2bt3a1pqChASgj7Bvhu18YPiOUmaA7BQpC1oA+vH8uq5bIjYUCmFoaKhOxIp4Q+ExTbOuuxeAEJYezWAbETvuuVwOqVSqow2Fvx5E25ja4bHHHsP69QcwOnrJpPcjy6/CMAxks4sQCoURCoURDtenAQ3jiCjMZuceFo0hGMZi3HPPz4Q1fJ0K5y4onI4NKyNgzXasAz2RSFhfpjRNQ6VSqROFqqpOmnM7FRDt+nETymzGers2OsuWLcOmTZssWzHG+vXrAQBLly51ehgAuJZnsfpjEd0CxN7R+pBWBRRLkU5MTEBRFCSTSeRyOVdPv6A7jTsRgPwUD+Zlxbqx7H/nN34IV9ZBOj4+bp0L9m1O1Lm9QH26F4B13ININ4i2Edhp1gX9/e//GIpyCnK5Uyb9vljcgFAoiUzmaO6n0uEvdiFLENZEoYRoNI5YLIti8RCGh0/Dpk0TeOyxx6wbfremmBDt0eq5aWZL5NckE9E+Y6Jew24C0KsVlxOXXnopdF3H7bffbv1MURSMjY1hxYoVVgfwnj17sHHjxjpRt2zZMjz88MM4ePCg9TNd13HPPfdgaGgICxcubGtNQUI1gB1ivwhb2dhZnZ+u63V1fl5eL6hUQTvCxF6zmEgkHFOl3bixtXtc7LOHU6mUVSMkMvw1FIlErGYP0TYREXj00Ufx6qtlTJ9+sePxKZVeRTx+NEKhRuny+hmkmcwsHDz4FoaGluDAgdl46KGf4/d+7/cAHKkbajbUPkhE3bynAl6aTFqdZCLa+RI1+u92nJgFTLvrPeOMM3DZZZfhc5/7HPbt24eFCxfizjvvxLZt2zA2Nmb93U033YSVK1diy5YtmD9/PgDgC1/4At73vvfhzDPPxPXXX49EIoGf/OQn2LBhA772ta8JV/8HkAAMhGYfYr/HtwWBVyFlF06NIk9BRi/b/cDbmyUymYxjIb9oN2YnTz978TpRz913PwBFOQFDQ4sn/c4wqlCU7RgZOf/wT0xIBw5C2rMHUrkMM5mEOXs2zNFp4JtBcrm5OHDgDRSLE8hmT8VTT/0cBw8exMjICOLxuGVDYreisYtC0TbYIBHtvfq5Hr7JxG3MYaMmE9axTjTHzQOw01rzlStX4otf/CJ+9KMf4dChQzjllFOwevVqnHXWWXWvbX/9Cy64AA899BC+9rWv4ctf/jKq1SoWL16M//iP/8DHPvaxjtYUFGKpjilAo5uJXWyk0+mWozXdSAF7watwcnruIAWgV+HqdfZwUJtVuyngRp5+rP7Mz+iwF1ugfmhMeu655/D88wcxbdpHHH9fLm+EYRhIp2uTP0K790Datg0wTUCSIBUKkIpFmNoCGLNnW49LJkcRDkdRKBzE7NlLsXXrWvz3f/83rr76akQikbrr0u5JF+SMWxER7Rrp1np4Uci/tv1aYOthzWe9iho7Idq16HbuisViRxFAoDb54+abb8bNN9/s+jdjY2N1EUHG+eefj/PPP9/hEWJCArBDvKSA7WLDLUXayusFLQDdRIRX4SQybuneRoiweXXD069dRDg+jfjJT+5BqXQMZs8+zfH3xeIrkKQY0un5gF6FtHNnTfzxkflqFdKOHcCM6UC49nNJkpBIDKNUyiMSSSISORE///k6/OVf/mXd87eTLnSKEvbT54xwx+5VCRwx/GfXSLNJJt0qqRER0zQd731MABLeIAHoM/aISbVahSzL1uSLTse3dVMA2rFPwWj1vXQrAuhGJ1FLv2klatZtT7+pxubNm7Fu3RZks9e7ns9yeROi0bkIhxOQ8nmgWgXs13Y4XBOBcgkmZzORTk/H22//DrpexejoMmzb9gKeeeaZppEAt3Rhsykm3RYBRHdg5zIajSIajXqaZNKtUgIRr7OgUsCDBAlAn2EbOz++zc/JEUELQAb//PZ6s07eSy/ShfYmlVailt063m6waKuXdfd6raKyatUqTEzMwDHHvNv1byqVLUilTq39D4ssHE7/WrD/t0UeMplZ2LfvtygUxpHLzcOePTPx6KNr20oFuUWG+Cihkwjop9SxaOsTbT2MIJpMWkXUe0mzJhDCGyQAO8Tpw2UYBsbHxyFJUktzV1t5vW7UADJbFGaG7Pd78RO348I33DRrUukmzVLt9kahXq27H+r7GlGpVPCLXzyHePxPEAo5R3tV9W1UqwWkUrVuPjOTBpJJoFSqF3u6DqRStd9zJJMjCIcjkOVxDA9PRyp1Ip5+eq1v6ahGM27dRADfVCAKIq0FEG89Xui0yaTdSSYi3/N5KAXcGiQAfYClfTVNg6qqME3Ts61LuwQtADVNq0td+1VvFpSgsAtAp3RvNBrtqFu4G/Cj85ihKdm6tM9DDz2EnTsjmDnzD1z/RpZfgSRFOP8/CcbChQj97nfA4fQrACAWg7FwIfguYKB27cXjOZRKNePwkZGTsWfPWjz88MP44Ac/6O8bQn1kyE0E2M2I+aYCSh2LSbuWK602mQDerYlEFckUAfQHEoA+wOr8qtWq9a270wkMbgQdAWTPWy6XLXsRPy1quhFR4tOmnTTcAN395tuOLyRPN1LATudPZDHxs589Al0/Ccmk+winUmkTQqEs4vHp1s/MTAbGySdB2n8AUBQgHoc5fRRm1DmKmEqN4sCBN2GaBhKJadD1o7FmzeOBCEAn3ERApVKxphPYmwoG2YqGZyq+by+lBK00mYh0jBoJ5WKxiKOOOqrbS+pbSAB2iGma1tiYTCZj1f4FSRAfRj7yBACxWAzpdFqoD34j2Dp5U2Q/06ZBTAJhz8uilbynn2i+kP3Ia6+9hpdfPoDh4Q83/LtK5U3EYu+AJNWLbTMagzlnjqfXSqdn4MCB1yHLeaTTOWSzJ+KFF1Zj586d1vSAbsM2dVY/2ooVTbupwn5C1OhWUMe8USmBW5MJW4uu68JFjt2aQCgC6B3aZTpEkiQMDQ1ZHxb2AQpqUgd7TT9vXizdaxgG4vE4FEXpKF3aiCAigEy8ArDmKPu5/iBveoqiWGsXscaSP19sswAg/AQDAFi9ejWKxdk45phTXf+m1lSxC9nsezt6rXR6FAAsATg8fCJ27XoEjzzyCK6++uqOntsvvDQV2EVhEFNMRLq+RaLbnyGv1wNwZKqNCH6VjY4T1QC2BglAH4hEIpb1S6/ScO1gbzTIZDKIRCJQFCXQGkM/n5tP9wJAMplsau3SDn4fD7becrnsW41lkNceb2fEXottBMLMvJVlSLoOJJNQVRWPPvoiYrGLEAq53+ZUdRd0Xan5/3VAKBRBLJa26gAjkSRM851Yt+4ZYQSgE920ohHiGrEhohjt5Zrs14OqqlBVFclkMtAmk1ZolgImAegdEoA+0w8CkG+QcGo06IfOTyfxms/nA3ktP29m/LEHgHQ6jXg87tvz+w2LCOTzeYRCISQSibooAZ8yYia23Y4OSJs3I/4P/4D0o48CpgnjtNOw5rzzsHOnhNHR32/42FLpVQCRjgUgACQSI5Dlt63/HxpajFdeWdXTNHA72OvHWKqQjwrx512EqFA7iHaPE209wJFMVlBNJn5TKBQwxHl0Eo0hAegDTsWyIgpAux+eW4NEkAKQdUy3S6+6ZP04Hny0MhaLQVVVoWv92Ld/oBZZjcfj1o2ev84VRbEaoJpNs/B7I5D270fygx9EaNcumOEwIEkIP/MM1jz1LNTs1UjNW9Dw8aXSJkQiw4jFRjpeSyo1DRMTO6CqCiKRKIaHT8D27f+DRx55BNecfTZi//7vCD/6KBCJoPr+90P9q78CRkc7ft1mdPrZ4FOFfP1YMz86MqyeuvjdZNIKbhFA0zRRLBZJALaAuLtPn9ItAdiqiLKPP2vWICFiCpivVXQSr0FbzLSLkxchG6nn53r9uvZ4E3PW1c6aCJxek/2TSCSs17fXlAXVfRr5r/9CaPdumKmUZdr8djSKJw6lkFEXNX28omxBNOreIdwK6fQMACZKpTyGhkatNPAT/7sWH//OdxDauRNmJAKYJmLf+Q7Cv/oVyvfeC/RhysqLHx0fFbI3FIjSYCLCGuyItKZWatnbaTLp5F7glgKmSSDeIQHoM6JFANvxwxPpBgS41yp2k3Yjrny0kj/2fLREFOzG3+l0GrquQ1GUlp7HnjJySiH6VUMUeewxQEJtblsAACAASURBVFEgaRoQDsNMJPCzahUHzEWYpx7d9PGqugfZbHOh6IV4PItwOIJSqYChoVpkL5tdjFee/hV2KdvxjmnTLGNpU9MQ/s1vEHnwQVQ/3LhLuV9wShU6NRQoigJFUXpuRSNaylW09XSKlyaTdiaZNDpOhUIBuVzO/zczRSEB6ANON61ef5hZhKlUKlkRnFbGn4kQAWw13StSBNDu6Wf3hezGF4VWsM95Zk0pTAzy2KMCzY6PlxSiUw1Rs3RRZPVqhJ94ojahQ9drc3oVBWtCKQAnIxYfgd5gXaq6F7peQSrlT32eJEmIRjMolwvWz4aHT8DOtxL437COa/n0dzQKGAbC69cHKgB7fX3xUSFN06AoCpLJ5KRzz/99NxsKiMb47WbhJXLc7JqwN1zya6UUcGuQAPQZdsPqZQTQvpknk8mW/PBEEIB2axqvpshBG2Q3wz43uZuefu2ISnuEuN05z60edy/dpw1n3moa4l/8Yi3ty20EW00TL+nTMYRFMGbObLgGWX4NQASplH/GscnkMCYmdln/H42mYErHYJ32Gq61/7Ek1UbODRhsI2c0m2ISZB2pSOKy3Ukg/U47TSYArHusqqpIpVJWfTWlgL3TndacKU43mygaPb9hGJBlGfl8HqZpIpvNIpPJtGWG3KvIgWEYKBaLKBQKCIVCGBoaQjqd9nTTD+rG6eV5Wfp0YmLCuiE1En8iRAA1TcPExAQqlQoSiQRyudwk8dfNjnBWWM6+tKTTacsbkVktsRS1+tRTwL59MDIZmFwN3f8AyGMeRkZOg9lEAJbLbyAUStdNAOmUVGoUhqFBUY5ETjO5xXjRHMZBZhBvmoAsw4xEUL3oIt9eu19hAiAWiyGRSCCdTiOdTiORSFiWTtVqFZVKBaVSCbIso1KpQFVV6Lre9vXZ6+hoPxCkn20j3O4FiUTC2gs0TUOlUsEHPvABvOtd78JHP/pRLFy4EE888YQ1nKEVFEXBjTfeiLlz5yKVSmHFihVYs2aN58evWbMG55xzDoaHhzE0NITTTz8d99xzT8vr6CYUAQyAbgtAe+1Wp4bCvYgA+tHdG+S6W4m4+jU3OSj4Jg+/J6b4SaMaIonzejTTaZjxOCRFwSNFAyHjFEjvOLrp8yvKFsRis2GfANIU04C0/wCkYhGIxWDOmA4zVrPy4RtBUqlaJGJo/hnYU/gfrC1uwqWKAhMAwmFoV10F/eyzW3vtKYDXMpRmVjSt1o6JTq/EVr/AziurJWWNaR//+Mfx9NNP4/nnn8fWrVtx7rnnQpIkLF68GGeccQaWL1+Oj3zkI00jg1dffTXuv/9+fPrTn8Zxxx2HsbExXHTRRVi7di3e/e53N3zs2NgYPvrRj+K8887D17/+dYTDYWzcuBE7duzw7f0HAQnAAOiGAARqNwwmPnRd99VQOEgBCNTf7DqdgRs0jUSrH+lTv3E7d3xdKICuWej4CYsWYflymLNm1TqAczkgGsVrponfGsPIRd8FPZ0CDnebssfV/vPIe1WUXUin3aeEOL6+qiL0m98AXG2ktHUrjOOPhzk6ilgshXA4inK5aP0+npiG6vDJWLvsHXj/8YuASAT6H/8x9BUr6tLXU51O7imdWNHwDSZO2RrCHRFFqb2z/JJLLsEll1yCDRs24Nprr8WDDz6I559/Hs899xyeffZZ3Hvvvbj22kkFGHU8++yzuPvuu3HLLbfgM5/5DADgwx/+MJYsWYLPfvazePLJJ10fu2XLFnziE5/Apz71KXzjG9/w7412ARKAPtCLFDBQa3nXNM33WrNupf34SJQf76GbEUDe06+VBhtGECngRq/P2wD1Q5SyKfE4lK9+FYlPfhJSPg/DMPANRcFenISR4WORMqqIRhPW8eVtkyRJgq4Xoet5JBKtWcBImzcfEX+SVEvnmiZCmzZBX346EIkiFsugUpHrHpdMHov1e3chf+fnLbucbiHaBu4XzRoKmk0xMQxDuMj3VD1XfuImStkUkJNOOgknnXQSrrnmGgCw7Lcacd999yESieD666+3fhaPx3Hdddfh85//fEMz9+9+97swTRP/8A//YK0jnU73xbns4x1AXIIWIuyGVq1Wm9aatUM3IoCVSgUTExPQNA3pdLqrzRKtwn+QdV1HoVBAsVhEOBxGLpdzNNMWBdM0USqVMDExAcMwrLpQr+LPi1Dt1XvXL7oI5QcfxN5LL8WH0jNwr3QSlNhJmKjuxeuv/xIHD+50TA0CQKm0EaYZQjw+C4ahHx5nZwAwD//j9IJVSAcP1v6bvWf2b8NA6EDtd4lEDqpaqjtmw8OLsX+/gaeeeiqAI0Ew+HpCe+0Yu7+oqopKpWJlUCqVCjRN66ie0A9ErEkUMQLoRj6fd+wA9pKVefHFF7Fo0aJJaeLly5cDAF566SXXx65ZswaLFy/G6tWrcdRRR2FoaAjTp0/H//2//1fIc8oj5o7b5wQloPjOWADIZrPCiiY3WP1GuVz2Pd0rSZ1NGWkE6+518vTrBL+vE/7aa2ac3c5zi7YZFI89Fp8saHjceA+QPB3HHHUOstm52LnzWezZ8woAYHS01uUrAZDyeUBRoJR+AwlRpNNzrWNWu3RYeumIsLX+reu1iJ8bh9OPyeQIDh3aAkUpI5FIHf7ZbKjqdDz55JM455xz/D8QfUIvrh83g2JWM+1liolo1/0gY5qm457RiQn07t27MWfOnEk/Zz/btWvXpN8xXn/9dUQiEVx77bW48cYbccopp+D+++/HV7/6VVSrVfzjP/5jW2vqBv2lHgQl6BSw3Qg5mUxCluXmD2yTIAQsn+4FgpmBG5Tw5jcMJ0+/dghyQ2F+WKzJo1vG2b2IFvz7v38XTz2lIxa7ArpexNDQPEQiUSxY8B5s2fIr7N37KlKpHFKhGEJvvgkc/two1Q2IhuOIVAEzHjocyDOt91HL7JqH9d5hURiJIBSPA4pSE4KHU8BFqJiAgmp5L4xtBxEORw5f7wVLAEqShFjsWDzzzMswDKNr6XeRIhCirIUJOhYtjMfjLVnRBDXaTrRom8i2NI1SwO3A7u12WLmGkx8q/7qmaeKf//mfccMNNwAAPvCBD+DgwYP41re+hc9//vPCWtNQCjgg/LjZMdExMTGBarWKdDpdF/XrRqNGp7DuXpbuZR8o0WpvnGCWNEy0MksaEW+IwBGhylJaqVSqL6PEXvntb3+Le+99BonExdC0GFKpaQiFateVJEmYP//3EAqZ2LHj15C2bAGKxZoBczwORTqAuD4E6a0tOJLylQBIkKTQ4ahRGOEw++/aOa/On3/4b028bcr4LXZjM7bjUOQAZH0PyuXtOHTodyiXi9i+fRPy+YPWeoeGjsXOnSW89tprXTpCRCP4+5sXKxpmOyLLsm9WNETruB3rfD7ftgBMJpOOE48qlYr1+0aPlSQJH/rQh+p+/ud//ucol8sN08e9ZmruDD2Ajz51GolidX6sycCevgvaQ86pU7cdqtUqZFmu6+5lAiWoiR1+iVa+WzYajVrRVz/xM2LJmjwAWP6JfkSZ/LoWguB73xvDgQMLMXv2e3Hw4C8xY8ZJdb8Ph2OYM2cZdmx9BgcqGqZHssDh4n8Vh5ANvwtSsQipXIHpeoM/0j0sSQBmzkDF1LFjy0soVd9GChHMHD0WmXcugRSOQJKAalXD66+vharK2L79ZaRSMzB//mJks8fgwIEUnnjiCSxZsiTgo0N0ipsVTaOJFZ1a0Yj0GRM1AtisCaQd5syZ45jm3b17NwBg7lz3ZrG5c+fizTffxKxZs+p+PvOwD+mhQ4faWlM3oAhgAHQi0JyaDEQfI2aHN6QG4GjmLOraq9UqCoUCZFlGNBpFLpcTOoLGR4kNwzicaowFlmIUZTPYvHkznnhiC4aGLsTExD6EQiaGhuZN+rtcbh4S0TT2VQ/CZA1I2A0TJpKh6bVUbgtzmSuVEt48tBHlrIY5J5yJY979ZxhefCoisdjhKKGEcDiKoaE5iMUymDFjAUqlfXjjjQ2H598eg2ee2eDXYSA6pNXO/VAohGg0apWCpNNpJJNJxONxq7OYebLKsmxNBapWq03rk0W9J/YLnQjAZcuWYdOmTZMMpNevXw8AWLp0qetjTz/9dJimOcnzjwnKGTNmtLWmbkAC0CecBFor2Ls1M5lM0ykeoqWA+XSv2zSMIAVEJxE1dvzzhy1F+G7ZICeMdHIO2SSPcrlsTfIIWqCJskndfffdGB+fjdHR96BY3I1kcsRK/9qZPXcZqlIJB7TaF5Kyvg0ww0iZOSASATzaslQqRWzZsh5ACQsX/j6mTVtQ9/uaQKj9k0zmYJpVDA3NxoIFS2EYZWze/CIikTl49dWd2L59OzRNO9x9LMYx7QaifIEA/LmWWeo4Go0ikUhYorDRFJNyuQxVVR3Hm4l4fPplTZ0IwEsvvRS6ruP222+3fqYoCsbGxrBixQrLAmbPnj3YuHFjXeT3iiuuAAD84Ac/sH5mGAbGxsYwOjqK0047ra01dQNxQxt9TCtpMz7daJqmJ085VsAskgDk072NfOaCjF62e0y8evqJkgbl5w3bmzy65eHI0+1jUqlU8PDDLyMevxyKokDTxjFz5smuf5/OzUE8lcMBeQLT1TTK+laEzSRiRhLmjBkwPdhEaFoFW7Y8C6CMY45ZgXg83fDvU6lpAEyUywWMjMzEsceeic2bn8PEhApVDWPdunV4//vfb/19kE0GIlyzgDhfHoLGnjoGMMmwmp9zzdLFrDlIlPuMyDgdn0Kh4GgD44UzzjgDl112GT73uc9h3759WLhwIe68805s27YNY2Nj1t/ddNNNWLlyJbZs2YL5h+uBL7nkEpx77rn4+te/jv379+Pkk0/Ggw8+iCeffBK33367EMMB3CABGABeRQ4/QiwajSKVSrXUHCGCAOTFSDgc9jwNQ4TNgO+ujkajriPRRIkA2msTOx355wURyw0ef/xx7NsXxfTpZ2F8fBdCIQO53OT0L8/ovKXYteVZFCQDZW0vopGZwPwFMGx1O06Ypo6tW1+EaRbxznf+flPxBwCxWBrhcBjlchEjIzMRjcZxzDGnYfPm51EoZPHUU8/gQx/60KR6Mt60mBeF/TjaTGS6Hd1ysqKxi0KgtidUq1UhrGhEjgA60UkEEABWrlyJL37xi/jRj36EQ4cO4ZRTTsHq1atx1llnWX/jdh4efPBB/N3f/R3uvvtu/PCHP8TixYtx1113TWoMEQ0SgD7RSo1eu6LJ7fWCotGHrV0x0i2x0uh1WKraq6efCI0Q/TDJo1vH59FHH4emHYdUah527Fh7OP0bsYr0nRgeORp79/0abyfi0MpVpNJLYcye7en1tm//LRRlH+bNW4p43JudQ7hQQKxcRaW0AyEkYMyciVgsiaOPPhW/+93r+OUvX4SqqnXWE16aDFoVBRRNEhMm8PkpJsViEZFIxIoGOlnR2M//oBFUChioTf64+eabcfPNN7v+zdjYWF1EkJFOp/GNb3yDRsER7gLQNE2rQBjoLILTjRSwG17TvY2ev1cRJX7usB/myEHDi9VQKIRMJmPVFjnRy2PbDfL5PJ5++i2kUlejUilCVQ9idPRdTR8nSSFkU7Mx/vYmwNyHZCgGqVSCmUo1fNyhQ7uRz7+FGTOOxtBQ82ghAIS270Boxw4kTR15yJC2bEF4924YJ52ERCKNGTOW4sCBF/ClL30J//RP/8St8ci8W0Yjfzr2t/0kCkRfX68JhUJ1n2/2hcApdRx0lFjECCDDvibTNDtKAQ8qJAADwEkA8sLDjwhOL2oA/YhcsucPqgYQcI56+DF3OMipHU70m1jtBk899RQOHoxh1qwzMT6+E5KkY3h4ftPHmaUiph2oYn/ldZhQkTbCCJV+B2PBApjTpjk+RtMq2LPnVSSTKcycucjT+qRSCaHD3YApKYlDZgmqZCKmKJC2boV53HGYM2cZ9u2bgdWr1+KKK17EsmXL3J+PixRZ76WBKLBbkUzlLwN+INrnyb4eVk9on2LiZ5S4nwgyBTyIkAD0CbcUsF14tCuanF4v6Js7e/52GlVEwY+oa7ffp11o93JOsv3LQK/P+fr1z6JanY9EYg4KhU1IJnMIh50joqXSVuzf/zgU5Q1o46/D1CqoYBwGNJQiMlJ6FaHt26EPZYGI/TNpYseOV2GaJcyb9x7P71s6cGRWcBoJwDQgm1XEzAikffsQVlQYM6YjN7QEBw7sxC23fAt33vn9ls5vI1HARwoZuq5b1xI/D7nbiCRGRVoL4H09jaLEvCB0m2LSyvkX5TPvhFsKmCKArUECMADYxamqKmRZhiRJvhfsS1Jwc2/5LmO+UcWv2rNuRAAB+L72oCOAdqHdrlgVbXPzC8Mw8MwzmxCPvx+qWoKiHMDs2ZMjc+XSTuzaeicqlQ0IRSSk0ouQM49HKBqDqj6EMsaxW12N/dJMzDF+H7nCfJgjI3XPcfDgLsjyTsyZczxiMfcpAJMwjZq3oGkijjBCkFAyNYwgDEACKhWEtm9HLjOMYjiN55/fipUrV+Laa69t+7jwooB9uWSigE0yoAaTqYtTPaFTlJA//3zHeT+df4oA+gsJwABgHzRN06wJGH5/6w56o2dihNWe+RW5BIIXgMyMtVKp+LL2btwc7R3JduNsAnjttdewe7eObPZkjI/vgiRpyOWOePEZhoH9ux/GgR0/RFifwFy8B9NwBkIYBSIaEArhoPEidH0hRqLLUNHXYYf+MxT2q5g7fCkkqZZm1XUNe/f+DqlUBqOjC9yW44yqwZodDCCGCMrQa7+LRIB4DKhWkZPT2B1Lo1xW8cMf3o8//sM/xNEbNyLyy18ChgH9rLNQPf98oM152UwUsM0+kUjURYkGLXXohijv0e9om92KhkWJ+fPfqHRAVDsat+PExvJRBLA1SAD6hCRJdZs4AMRiMaTTzS0j2iUIEcWEH1ATJf2W7gWODOf2e+1BHe9yuey5yaOXsNS0rutWt2I3Gw+efvpplMs5zJr1Lrz99nrE41lEozUTZ9M0sXPnf6Kw87+QNeZgHq5BJJyuReMKBSAahVGtQkceUWkOVGMUx4auw27pERyo/ArqljKOPvrDkKQwdu3aBMMoYO7cd7e0PqlcgbRvX93PEoihgMMzRpmYi0QQq0QQk+ZCiu/D7t0m/v3PP4RvHToI6DWxGHnwQUR+9jNUvv1tz0bVrus6fH6aWZE0Sh36dZ5FuY9M1Si5G3yUuJEVDf+lgM8CsSihCOfPLf0bj8fruuqJ5pAA9AlFUTAxMQFJkpBOpy2LkaAI4rn5lClQE7CNhmC3SxARQF3XrTo/JqRa8VRsRFDnkd1cq9WqNVqq09fyuzSArUdRlMOjzGqbgL0bEYAVvQxqo3jppd8AOP5wTdvbmDHjGAC147h9+w+RP/jfmG0sx6zQHwHs9SUJgAloGrSEDKOiISvNQlkbhxkfxZx51yIWfQ27d/8ntm2LYXT0QuTzWzBt2lFIJLxZvjCkg4fr/0Lhw2lgAynEMY4SVBiIsevRNGEACIVyODT+AmJSBg/u24s/mZvAHzFrmnIZ4V/+EpFVq1ANyEvMS+pQ0zTfUsciRpREo5vHx+388+cegFVGIELXudu+USgUkMm09nklSAD6BhsFxDo1FUUJ9FumnyKKRaH4lCkTU0Hgp0ixe/oBQDKZ9E38Af6bIbNIGhPavWzyaIZ+OCKlKIr1DVvTNCtFxCJHdrHgt2eZqqr49a/3IJm8AOPjuwGoGB6upWd37vwJCoWHMDN7AWbJi4+IP4uaCCyOloG30xiNL8aOyi4cmpnDyKxZmIZZMIwK9u69D4cO7UcisRCzZp3Q+iJN7poOSQAiyOhJAAcgQ0fMBAATZqWCrdJLkLVNMIwi4qEYDplh/PXbE1iVyWBxMgkkk8ChQ4g88khHArDVa9YtdThVu05FWasoEUleFLLoICsf6IUVjdsa7eTzeWSzWWHOZ78g5q7Th4TDYaQ4T7Gga/TY83fyrbpRd2+5XBbmpuSG3SYlHo9jYmKi18tyxTRNaJoGWZZhmibC4TBM0xRS/PFfCoCaqE4mk9bmz6eUQqGQNY8YgLVZOG0UfI1RK9ftiy++iPHxMHK5d2Hv3j2IxVKIxTI4cOBJjI//FKOj52HG0GXA3pdrQkzi6idNEwhJqET2QEqNYuiEP0Rk00OY0GWw1o/p0y/ExMQWFAr/i9HRRW3VX5rDw5C2ba+93uH3FpfiCJkSZBgYUWup4B3SRuRjv8OcuX+A/ftfRkbR/z97bx4k2VXf+X7unnvWXt3V+6p9Q4sFYhGY0ch6BgYbBj9jMDYD4xd+4Y2xWTx4woaIiZBlm/Hg8ATPgwYJs1kgIYRAINEgQKK1tpaWelVXL9W1V+V+b97tvD8yb3ZWVmZVZVZmVUrUN6Kiq7Pynnvuufee8z2/5fujz97GOecIHzg9yff2bmVAVUttVJGt9cBrVZuw2+e2bkCwttQLHVivTUGj+5bL5TYsgC2g+1ae1wg6maUbtL8aVFeWqFeGrtPu69VMwNXSOqqqVixo1bI17UQ7LIC1SR6RSATLshZMnO1AOzYeAUn1fR/DMCo1h1dy7lq9uqXkSZqJMXvmmWewrF6GB7dh5V+gP7mJQu4Uk5N3Eo3uYHj4gyCB39ODnEqVSaBUImOAGBrGcr6Hpo0gSTLR6BDZ7ExlkfN9j2LxInT9SbLZn1IsXo1h9DQ1biIWQwwOIk1PgSdAAgkJgxBmIoIY2ELGnWIudZT+gdcxOPhm8vk0BedptsnXMetPccLW+PT5Cf5paABFCLy3vKWpPqwF6mkTrqTWbfX72Y2kcD3RrZIr9frT7KYAWpeiqUWjZyfIAO628et2bBDADmEtLIDQ/GRa6+5tlHTQaZmZVsamnZVU1gq1LurasnPdZIkQQlAoFBboD8qy3HI4QyN5kuXq39azEr7wwhEkZxfZw0+DOUePleDMxN+iRgps2/Z3ZYLh4+3di3T6NNLMTNnyJyOGh/F37qB4bJxQ6HUA9PRsJ50+SzY7SyIxwNTUKEJk2bv3zxkb+xxnz36DPXs+0vSz5e/bixSPI01NIbkuIpHAUDQyVgp3eIjzJ76NbqgMD98CQCy2g4ncU9hxhS3ZPZzyXuR78xrf88a57YYbcH7zN5se9/XASmrdVse8tosQbKBzaGZtqbcpWMm73orruN73NmIAW8MGAWwTah/KtSSAK0HgfiwUCvi+v2yGbLfpya1E06/TpKrZdqtL5tVL8ugm4hpoVtbqD65kE9DMdTQbY6YoCq7r8uJTo0Szl5F259BljTnpEK53nN32R9CKAhE0qSr4+/Yh7dwJto0wDFBVfN/GdVOEwyMARKPDyLJCJjNFJJJgbu4ksVg/icRuhPgdzp79IjMzTzI4eMOKry2APzyEPziIWiggzc8RKUCqWGBq6lls+xQ7dvwGslzqcCKxm4mJEKkBn4HeKwmPjZHyNP5p0yA3/fM/o/c0Z4XsFtRLMMjlcpXP2kkIVtvPbsJrqT+txJPWbgpqz9+IlG6UgWsNGwSwjagmTd1EAGvdvfF4fEVJEp3qfzNjU22xbGcllWbQ7CRYz5K2VnF+zT53vu+Tz+cXuKbbmUCzHJZzJ3mexwsvvEB6wibub2JWyhKVHVL+T+jRriPqb0XMzCBq5JaEpkHVc2KaJxBCJhTaUjlvONxPPj/DxASAyebN1wOQTN7A3NyPmZn5AT09l6FpzUs5qadPI09OgIC4cBCkmTn9BOH+BPH4BfFqXY9hGCNkC6cZ2HUDA+G3cO7cj3k+7fGtH/2I3/qt32r63N2K4D4HHod62nTrHUu2Xui2/kBnQmkaveuNpGhqNwW+79ednzZiAFvDht29Q+gGC1pARNLpNL7vE4vFVkz+1jsGMEhQSafTWJZFOBwmkUgsS/46Oe4rade2bVKpFMVisdLnRuRvPZ+RwDWdTqdxXZdoNLpq6Zx2XUtgDQpkiI4ePYplJ3BFD55foOA/gYpgRHsnSBLCNBHCLymvNOiCaR4DVCKRbZXPEokRbDtDKjVKMrkZXb+QxDUy8iGEmGd8/KHm+z+fQi6xSpBlDMXAJ0vRPcWActmi74fDOzDNGXzfpadnD4bRQy4nc88932lLGEa3WZUCBGRAVdWKhTwajRIOhzEMA1mWcV2XYrFIoVAgn89jmia2bS+KMdtAZ7AWGb2BlTgUClWegVAoVNkouK6LZVkUCoXK/23bplgskkqlgI0qIK1igwB2CJ12Ry7Vfi15CoVCJJPJpgSG14KcNGrf8zxyuVzFZZRMJivyOsuhU/1e7tye55HNZsnlcqiq2lSf1xpBXwuFApqmkUwmG8ZS1j5n63E9hw+/DMpFZIWFL53B5xVG9N9Elo0S4wuFKtYkAN8PYs58gqoclnUKVR1AVS9Y8xKJrdi2ieflFsm+GMYQfX2/SjZ7kEJhrKn+yjMz5V/kkgKNBD5TgEdPtnfR9xOJXQghkc+fQZIk+vsvR5IkXnppnEceeaSpc3c7lnt+aglBNBpdRAhs28ayLPL5PPl8HsuycBwHz/Nakr3pBnRjEsh6EezAdRxsAKPRKJFIpKIyAKVn4Omnn2bHjh1ce+21PPXUU5w8eZKnn366ElbQDIrFIh//+McZGRkhEolw44038vDDDzfdzkc+8hFkWeYd73hH08euBzYIYBtRL75rrQlgPfLUisBwJwlgo74E7t50Oo3necRisbYKOq8Wjch2tSWtmT53YoyXarN6fH3fJx6PE4vFui4AXxofR/vf/xv9v/935K9/necPnUaPX0pOzOH7LxCVNpOUL0EqFkvl1QYHkeULWcSlfwW+L/C8kmvJsk6jaSPlsSmNj20XEcJDUcKo6uLN0dDQO1EUlYmJHzZ3AZ67wBTp+BY+Y8gMIXmLLXrx+FYkKU42+woAfX370LQI6bTMt7/9nebOXYNuspK12pdGhMAwDFRVXc8ZvgAAIABJREFUrZR+NE2TfD5fCb9wXbehBbWbxqWb0S2ENHADw4UKW/v27eN//s//yU033cSZM2d46KGHuO6664jH47zhDW/gT/7kTzhw4MCK2v/Qhz7EP/zDP/CBD3yAf/zHf0RRFG677TZ+/vOfr7iPTz31FF/60pdeNZWzYCMGsGNYawJYL7u3Ott0Ne23+2Gu13a19Ei1oHYrba+VBbA2yaMTNZ/bheq+rnZ8Ownl0Ucx/st/qVTVGPU8ZvMj0DeIqf4E3Z9ji/z+kj6eYeBv3VqJ/wu6JkkyF7opyglQM8Tj11QIgSTB+PgRNE0FJDzPRVEWToeyrDMw8GtMTHybbPYU8fiuFV2DSCSQ5lMlninBLKdRKCCzn3w0RG1tHUlSCIV2kM+frPy/p2c/U1PP8vjjL3H69Gl27GiyJvFrGCuVIalOMKmWG+rWd7SbSEO3E2RJkhgcHOSDH/wgH/zgB/m93/s9/uAP/oAbb7yRJ554goMHD/LAAw8QiUR461vfumRbTzzxBF//+te54447+LM/+zMAPvCBD3D55ZfzF3/xFysigUII/uiP/ojf/d3fbclyuF7YIIAdwlrJfFSLOa+WPK0HajX9YrFYVwojVxPLdiemdFIXbT0TUppGPo/xX/8r0twcYngYZJmnZ2YozMVwZ9N4PEfPln+P3vcWfAEiEim5WcuQ0hnk1DyS60EkgujvRxgGjjOH51mEw1tRFBkhIJebwzTP09e3i3T6LKnUFL29w+X7IJUJpERf39uZm/shk5M/JBZbmSyMPziENDFZslACafEKMeJYUoRcbDEBBIjFdjI9/RyOk0PTYgwOXs7c3PPMzBR54IEH+MM//MO2DPFrFc1qE1ZvPLuhgkm3Eq5uWkeWcpPncjkGBgZ4/etfz+tf//rK5yuJob3nnntQVZWPfvSjlc8Mw+DDH/4wn/rUpxgbG2PLli1LtnH33Xfz0ksvce+99/LDHzbpMVhHdOdW6FWK9XABW5ZFLpdDluWW3b1Ltd9Ja1pQP9lxHKLRKPF4fNXkpNOxi60kpjRCJybX6usP+rqShJTlUD2m9SSP2gHl8ceRxscRAwMVYnfYcfClXWSKT6AqBTZv/j1ENIaIxRaSv8lJ5NFRpLl5pFwOaWIC+cQJJNPENF9GkjTC4a2UyJ3E5OQxNE1m69ZrUVWdXG4WkKosST6+XyqDNzDw61jWUTKZYyu7EE3FvfRSxPAwlmxSZIye+NWoPQMUnPolFktxgAaZzHEAVDVEPL4H25b47nd/1FFR+bXEWhKK6gSTwHUcJJgEqE0wCVzH60HIupFsvVqQzWbrJoGsxNr77LPPsn///kVZxNdfX1IFOHTo0LLn/vjHP86nPvUphoeHm+j1+mODAHYYnXiRAgsU0HR270rRSQIYLGamaS6bhNAtCCytrSSmrAeCONBgY9CtLt8F5zJN8H2oeo6fM1WKIonDs/Qm3oKqLtbFk+wi8uRkya8bDiFCBiIchmIRaWKCQuEEkhQmHN4EQCYzTbE4weDgxUiSRCQyQKEwhyxLyPIFN2Fw7fH4G9C0OFNTj5atSmLZ90LoOv6e3czulKEnTPLSXycU7cOycnW/Hwr1oOtDZLOnKp8NDV2FLEu88soMTz75ZNPj2U3oBkJRnWCiqiqSJDXMOK1OMLFtu6UEk2bQDeNTD900vzWyAAohVpUFPD4+zubNmxd9Hnx2/vz5JY//m7/5G6LRKH/6p3/a0vnXExsEsEPo1IsTWHUCAqjrOrqudzROr10QQlQmVihV8mh3EkK7LYBBkkdQyaAdcikB2j3GQaUFYIFVda2SaFZ7Hd7VV0M0ilSu5zznupwqxsiLMSRybN3x/9Q/MJcvxQTqVZZYCdA0pFyWojVaLgGnAILJyaNomkZv704AEokteJ5FoZC5cLgkIUlypYrJwMC/p1g8Ri53hoUJJhcIYb3rz2QOEwoNoapRotE+HKeA69qLvgcQiezENKcqG6RQqIdIZAuZjL+quKJuWsS7CYHbtzrBJBKJLEowsW17UYKJ4ziVOeG1iG6+rkYu4FYJoGmaC6zCAYKs42CtrYdjx47xj//4j/zt3/7tmuvTtgMbBLCN6KQLuFpmJLDqrEWh9Xb0P7CeBfp4wYvVCWLSTgLoui6ZTIZCoVBZKLrVUhk8H0GcUyKR6Nq+NoLYtg3nd34HbBtpYoJnpqbIODE8polGr0fTl6mKUXvbRSkLw7bH0PXSbj6VmsS2pxkauqQyNonEZmQZ0unphk339r4FVdWZmflZOaFALlsMS234/gVSGDx/ljWPbY+STF4BQDTaDwhyuUzdc8Tju/B9gWmOVz4bGLgUISQefPDHC2LYNrA6NJojgoQRTdMWaRPqur5Im7BQKLRFm7CTccCrQTf1aamxzWazJJPJltoNh8MUy/G61bAsq/L3RvjjP/5jbrrpJt797ne3dO71RpdGg7/60S4CGFigglqy0Wi0YvFbD6mWZuF5HoVCYUGlCUmSsCyra3eZ9ZI8gsmg21D9fMiyjGEYFIvFrraqLgX7Yx/D374d7Rvf4NDzz5OSk8A8m7d/tPFB8Xip6odtg66XrH9CgOvi9cZwCimSoS2AYGrqGLpukExeEISWZYVQKFmOA9xb9xSyrNLX91ampx/GNKcIh4eqZGegdFIWWAJTqcOARTx+Bb7vYxhxZFkhn0/T0zNQ5zK2IUkxMpljRKOloPNkcheqqjE+nufgwYO86U1vam5AN7Bq1EswCUqaNUowaVTT+tWCbpybl0sCadUCuHnz5rpu3vHx0kZsZGSk7nE/+tGPeOihh/jWt77F6Oho5fOgbOnp06fp6+vraoHqDQtgG1EvOH41L5LjOBV3r2EY9PT0LLDqrAUBXM2OtlbTby3ckasdk6WSPDqh2beadgMLZfB8JJPJ7s3wXSkUBfe3fgvzW9/i57/yZoqyQNMvpbd3f8NDhKbhj2wuMTHLRDJNJNNChMMUegoIIRMOb2V+fhzbnmFo6NJF72o8vgnbTuM4JUuAZBaQx88jnz6NNFnK6B0YuAVZ9pmaerRhX6qzSfP5Y4RCvehly6UQAl2PUihkqsSqL+gSyrKGYWwjnz+7oL2BgWsxTY/777+/qaHsxkW8m4jQavpS7RGo1SZUFKUlbcJuGpsA3dinWjiOg2maLdcCvuaaazh27BjZbHbB5wcPHgTg6quvrnvcmTNnAPiN3/gNdu/eXfk5f/48P/rRj9i1axd33nlnS31aK7zKV4vuRqtkZKXSKJIkdSw7cDXkZDlNv7WSyGkGtWNeS1bX0gq2HGotlNXZvZ3Ub1xL2LbNCy+cxfeL9PX9wbLXIvoHEEYIUilkzyslgfT1Ukh9l1IJuK2cPPkUoVCEZHKxpEMyuZ3JyZdJp6cY1OLI58bAdUCSkVLziLk5lB3bSSZ/hVTqEI7za0vWCPY8C8s6XqnqEfQ/Gu1nbu5s+f6UXMcBShb+nczOHsZ1C6hqqTTdwMBlTEz8jB//+CCu674qSX63vDsBOlnntnrDWFvnuJE2YaMat+uFbrtf0NgCGFRfWspVuxTe8573cMcdd/CFL3yBj33sY0ApO/zOO+/kxhtvrEjATExMkEql2Lt3L6qq8qu/+qvcd999i/r40Y9+lJ07d/KXf/mXXH755S31aa3w6ptJXkVoljQs5e5tR/utoJn2m9X065TETLNjHuzUgYZj3omxboUIV5PrcDj8qlKdbwaPPfYYc3N5FGUL/f1XrOgYEY3gh8MLsohN8xVUdYB0OoXjzDEycn3dY3U9gmFEyaSnGHLy4HmIcKTsTi5nKI9PMLDtVubnf8bMzBNs3txYYDaTOYYQeZLJqxZ8HosNMjc3imnmiMWCmMYgiaQkBzM9rZFKHaWvr3SsohiEw0NMTZ3l8ccf33ADv0qwnDah53kLXMdBBnJwzHprE3Yj6o1HNpslFou1PFY33HAD733ve/nkJz/J1NQUe/bs4Utf+hJnzpxZYMH7xCc+wV133cXo6Cjbt29n27ZtbNu2bVF7f/zHf8zw8DDvfOc7W+rPWmKDALYRqyENjuNQKBSaqirRLTGAKyVRtW2vNwEMYjVc10XXdSKRSNdWCVjOQtlJLDembdMBfOwx1C9/GeX4cf5pdJR8Viee/H1iscUSDSuFbZ9B07YwM3OMcDhGPL6p4XdjsWHmp0cRQoFQOAjrA6kk6yKZJobYSiSyj3T6CTZtenM5s3gxcrkTaJpOOLzQ2hiN9gESuVy6igBK5cUeIpEBdH2YXG6U/v6rK1akTZvexCuvfJkvfOEL3HDDDQviyzbQGtaDXAX3LNgYB/c32PQHlsIAwX2uJoVrgVdTbeLVEkCAu+66i09/+tPcfffdzM/Pc9VVV/HAAw/wxje+sfKdlRLybhqz5bBBADuIlZCR2oW9WbHeTloAV9L/6hJjzZCo9Vbdry6bt9JKHuthAayu9ALLk+vq49Yaqzmnev/9GJ/8JJgmBVXl+GQeietIyttaflZKcVhTqOoeHGeeLVtev+T3k8ltzE0dJ+WZ9Nat11HCwMCtnD79eVKpw/T2XlnnvALTPE40un3R32RZQdcjCyRnahGJ7CCXO4gQovIuJZNbkWWDF144hm3bC+KAq0lCtyccdEvfuiVEIrh/1TGFQYJJYCl0HGeB63it7nc3jE81Gt2z1SSABDAMg9tvv53bb7+94XfuvPPOFcX0nTp1atnvdAs2CGAHsVSMXmA1CyRGVrqw17bfSSxFAGtLjDVbDq1T1svl2m3Vhboek2F1BvVKyXW3TdorgmWh/93fQbGI2LSJr8zNMSUNo4ot9OXVksZfC3FvjjOJ79tYlkcsliQWG1zy++FwL4oeJlWw6CsWEaHQBRewbSNiMYRhEDcuxzD6mJs7WJcAWtYEnjdNPH5D3fNEIr1kMpNUigXXIB7fRSbzOKY5XskGBkgk9jE7+xQ//elPufXWWxfFlwWoJgcbePWgmtRXGwGCzPJqUtjofrfLddyNMYCNEFQBeVXOfeuMjRmijVipC9hxnIq+XJC92YpmW9B+J93AtW3Xavq1Wg6t0/GLtW37vk8ulyObzbZcHWOtJsUgFrQ6g7rdgtndBPnYMaSJCUQyiS0E/zJXpCgS6NIgMTeEVBYObxaFwhFs2wU0Nm1aPhhbkiRi8U0UVAdflpAKBSTTQjILCF1HbLrgPu7tfQumeRzTnFrUTiZzFHCIxy+te55YbBDPcygU6lcFSSR2IEnRSlm4ANu2/Sr5vMs//MM/LChztpRWHVAJz1iLihaN8GoiFOuB5UIs1kObsNsIVSMLYOAC3kDz2LAAdhC1JKfa3Vubvdlq+2uJepp+3ZS5BvXLBDUTn7jSdtuBei7gapd6MNm3YhVu54Lb8WQjXS/V9fV9vp3JcNoZRBCmV9qBJMuIFse+UDiG65bcp5FI/4qO6e3dQSp1ltRgD72+AraNCIWhpwdRVS2gr+8tTE3dz+zsQbZufceCNvL5kxhGH6oaqnuOWGwQSYJsdp5IpF79Ug3D2L5ADgZAVcOEQtcwPj6KbduV8mVQP+HA8zxM00RRlMrG7cI52m81erWh26632fd8qQSTWm3CIPZwpdqE3UrYO+UC/mXFBgFsM6oXy2oLXTUJCfSiVjsBdVryo7r/1WLDsVhsweKzmrbbjeox8X2ffD7ftiSPTlssa8Wnu7G0kOM4lQ1Mu4iDv38//kUX4R86xF1FjbTXj8wwg9IAGDoi3trufn7+OSQpycjIYjdtI0Qi/aiqxrw5T3Jn4+NkOUQ8fiXZ7CF8/1ZkuXSvfN+hWBylt3dfw2MVRUXXo+Tz6Ybficd3MT29UA4GYHDwCmZnX+Huu+/mwx/+8JLXEtyXoPZt8E5UuxGr56p6pPC1im4iOO3qS70Ek1rB6kYJJvUSirrt/ncyBvCXFa9Nn1KXICA5gbtX13WSyWTbpDs6racXZKUFYtShUIhkMrlq8hegk5NwIELt+z7xeHzVLtROWgBd120oPt0tEKJUcD0g1LXuJqD12qiyTPG//TfujUR4Mb8ZHw+NISJaAn/nLpCav28lF+srGMZWwuFlSshVQZIk4vHNFAoz+L675Hf7+2/B8+aYm3u+8lk2O4oQOeLxi5c8NhLpxbIyLK5fV0IisQchdNLpYws+Hx7ejev28bWv/dvKLqgKgdVI0zRCoRDRaJRoNEooFKqQBtu2sSyrIl5sWVZb6952G6l4LaPadRwKhRa5juGC9EyhUCCfz2NZFrZtd2Wd46VcwBsEsDVsWADbjID01ZrgV+vubXQu6AyRqnYlrETTr1l0aiHwPA+gUnO42Ti/RuiEtTVIELIsq23SLp14JgL3oSRJFbFVWZYXWBagtJi4rrvIkrQS4m1fcQX/e/eV5GdjCOs4vfEr8fdfvsDt2gzGx5/D93MMDtZX8V8K/f17mJ8/zfz8JP39i0WjA0QiuwiFhkilnmZg4FoAstkTyDKEw7uXPEcsNsT8/Dny+SzR6OIKBqUKIsNks6/Q33/hGhRFRVW3Mjr6AidOnGDv3vql61aKIOGgVpakUYJJdYmzZqyE3UYmoPvI6Fr0p9Z1HFgJG93vQqHQVaECGwSwvdiwALYZ1QH8wYvUbvIUoFOLfdB/3/fLFpF4R8hrO/sdJHkE1qhYLNZ0/NxaISBUmUxJCkTX9TXV9VspfN8nm81WnoPqZKVq2YqAFAb/rw1Kr7YsNEpCuP/++3n5FRkRSoISZ3jfrS2TP8cpMjf3M1Q1RiLRuIRcI4RCSQwjRio1vux3e3rehGWdqCSDmOYpDGNoWdIbjw8gyxKZzFzpA9+j1hoYiezCNKcWKQkMDl5MLqfx1a9+deUXtUIsZSUMrNKdthKuBbqpn+vZl8BKWJtQFHxe711uR4JJK2h0rnw+v0EAW8QGAWwzAnevpmlEo41LRXUjgtqygbs6yDDrZHzhahHEV6bTaRzHIRQqBd63O2O2XWQ7IKpB+SIoEaduIqrVYxpY9FRVXXJMA1JYTRwikUjFvRhYxOvVRrUsiy9/+T58/3pM8xyatpNQqK/l/k9MHMPzRgmFBgiH6xdyXw7J5DYsaw7LWjoDua/vzciyz+zsk7iuhW2fIRbbs2z7sqxiGDEKM+Mozz2H8tTTKM88izw2BqJE+OLxXXgei5JBenuHEWKI7373AJZltXR9zaCW7FfXvZVluVL3tpogBPe2m4hWt6Nb5oDgXVYUZdEmIHAdV28Cgg2e4zgdyzJfSpg6k8m0XAf4lx0bLuA2I9CW0zStYgHsdLWO1bbfSNMvqJLRrfA8b1GSh+/7WJbVdQtPbSJQLBZD0zTm5+fbep7VPhP1xjSXyy2YeFe6UDWqelAdkO44Dt/85jd56SWXaPSNTE7eS39/4xJrUNLkk2ZnIZsFWUYkk4j+PpBkLCtHJjOKplkYxlZkubUprr9/DzMzR5mdPceWLRctcY0hYrHLyGYPEY1uRwizofxLLWKezmxmDF/uR5ZLGcfS2bPIxSL+7t3E41tRlDiZzDHi8R2V4wwjhGFsYWJigoceeoh3vetdS56n3cQiIAi1dW+XEi8ONg+By3E9yU63VbnotrkKFvepVW3CarHqTo33RhJI69gggG2GYRiVOLS1SNJYTfvVVSaEEIuEkTsp/7GatmuzkqszZjs9mbbSfjWpqi3z13GJlRWiWph8uUzvVhfQetIVhUKBe+75AfArpNNHAYWBgTfgeV550YCgVBqUyd/oKJJlIhQVhEAuFBCFAt62rUxOHkGWXWTZRtcbx+8tB0XRiEaHyWQmGBnZh7REIkpf36+SyXyO6elHURQFw1hB6TohSKY9ZvBJK4JeuTwmnoc0PY00MoIcChEK7SSfP7bo8J6ebUxNHeO++x5YlgCuBZYiCMEPUNkArVeJsw2sHEvdk+pNQIBGG7zg+6vJMl9qztlwAbeODRdwB9HNBNDzvEpWp6qqDYWRu40AOo6zKCu5OmO2U2PeygIVSLtUZyNHo9GuE3T2PI9sNrtAmLxWY65Tz8E3v/lNTpyQGRp6F9ns42jaIMnkRcjyQjmf0qLiIWZnwTQR4QgYBoRCiJCBlMmQnzxHoTBGX992XDezqA5vsxgc3IfnmczNLR0LGItdjK4nKBTOEAptWlkpRMsi4smokkzGv5AshqKA70OuJBIdj+/CtgsUi6kFx/f0DCBJgzz11DGOHj1a9xzdEFsWhAQEz1P174H7f63ciN2KbrNIQmvPTrDB03W9bhgINI4fXek9b5QEsuECbg0bFsA2o56rrJOTWbOLczOafp3WGWwGtTWTO5VYsxxWOtaO41AoFPA8b8ls5HaTq2aeuaUsqa2etxkUCgW+9rXvAzdh2yqO8wo9PW+quG0vNCkoXY5AyuVAUUrpEsE1lkWkx6ePouoKkYgPyITD21q6lgCRSD+hUIzZ2bP0949Qr2xbgHj8OlKpLxMKXbayxhUFSZKJECYvLIQoF7MXonTh5Wc7mdzL5GSYdPoIQ0M3VvUtjq4PkZo7y/1//dd86uab8S+9FO/GG1sqm7dWUBSlrk7dStyInYrr3cBCtJOQNgoDqbUUBmikTdhoPhNCbBDAVaB7Z4rXELqFAFbXwV2JREonJ8iV9rvaTQ3Li2ivtwWwNp6yE/I/7UB1xZF2yuUsh+rF5Wtf+xonT6ps3vxOzp17GUnK09NTT7alyhWsqkiWVWaHZWIoYMZNU5RmGdl6PYXCQUBfNQEE6O/fx/nzh8hm54jHG1cTUdWdCGHjOPXLu9VC6DoimSQ5lyYjZjCFRwQFXA9CBiJZWtA0LYqubyWbfWUBAQSIK1Fm58M89IPH+POXXyaiaXhveAPFz34WXgWlsZZzIwaEsNqNWEsQWrXMdyN+GQhpdRhIo/jRevd8KeTz+Y1ScC2i+1am1xCCCW69CWCr1rNOWgBX0na9hIT1cp+uhFjatk0+n0cI0bZqL+1GbcWRdhLUpcZGCMGJEyf4/vcPMDY2g6bJ3HvvQ5jmO0mlfFKpR5GkGLK8k3w+j6LIyLJS+bcy/skkUi4LnguKiiSBZ5lMuVNEentJJrdy7txXUJRhJEnD8/yqWMLmF9menu1MTb3E1NTokgSwWDyPYQximqcqsjnLjtfuXSSKJlJumpRrEpHDoGv4e/cuEL+OxXYzN3cc1y2iqiVpHKlYpDdXZJ4kZ0ny7UiE30okUB59FO2rX8X5yEeaus61wnLjUi9OdCldwk5bCdcCv+yEdCUJJoEUUuCtePTRR5mfn+f6668nk8mQTCZbOnexWOSv/uqvuPvuu0mlUlx55ZV89rOf5e1vf/uSxz3yyCP867/+Kz/72c8YGxtj06ZNvO1tb+Mzn/kMm6pqhnc7Nghgm1H70qxnkH9t5mmzdXDXwoVdD824qWuxHn2uJtjN1kju1PNRr81qC3Btws9yfQwm4FYWhfHxcX7wg0d47LGT5POb6em5gRdfvI+pqU2EQrdw/vw5bPs4qrqF6WkDWZ5Gkij/SMgyKIqMosioioymG6iFAooQyJLEuDuDq9ts2/I6AIrFMUKhS6riCMH3g/EQVYklKyMk/f17mZh4iXw+TTRaf6Ep6f/147oFCoWTRKPLCzQLXYcrryL08ixZ28Uf2V3KZlYWTsvJ5F5mZw+QyRyjr++K0ofpNHFfRlPi5L0+vjU5zn8cHkYxDJTvfa/rCOBqnvGVZpPDwmSD5ayE3bY56xasNyGtZxm2bbtS/9r3fb797W/zr//6r0DJK/SRj3yEm266iRtvvJHrr7+enp6VVf/50Ic+xDe/+U3+9E//lH379nHnnXdy2223ceDAAW666aaGx3384x8nlUrx3ve+l3379nHy5Ek+//nP88ADD3Do0CGGh4dXNwhrhA0C2GGslwWw2sVXm3naDWhkAVxp7NxybXfKBVzdbq17ulmC3QnUO3e1W7odFUdWen2ZTIYDB37MI48cYnY2ycjI/8X2oWEsc57x8fPo+juIxXZjWY+gKBlCoZuJxbaULQB++ae0yDuOh237ZbHhBKg6jl3AcXPY7hQhtY/z5zPADNnseeLx65mdnStXuVDKFTQCy1LJfVzitMsTwv7+vczMHGNy8iS7d79u0d9d18S2zzIw8Abm5p5jbu7xRQSwRFo8hPBRFPVCVrEkER/cydTUMYo9SXRl8ZQciQyiaYNkMicqBFAqWxmjSpSU28Pz2WmezWa5TtOQ8vkL8ZGvQazESlhdhak2+7RWWHu90W1JIN3WH7jQF03TkCSJf/7nf+azn/0sP/3pT/nYxz6GEIK///u/J5UqJUtdcsklfP/732f79u0N23ziiSf4+te/zh133MGf/dmfAfCBD3yAyy+/nL/4i7/g5z//ecNjP/e5z/HGN75xwWe33norb3nLW/j85z/PZz7zmdVe8ppggwCuAdaSADbS9Gu17aDNdqO2bd/3KwKy3Rw7F6Bd7ulObxACgur7/pq5pR3H4eDBgzz44M8YHYX+/jdy2bYdKM8cQj73c55I/4SsGSbR83ZMcxzPO4MkKeh6qX5uyQKgAAqw8Nn1PId8fpaiXcD3Bb6YRdUMkskbEAKKxcN4nkKxuIXpaRtJMhHCQ5Yp/0homoKua2iaWimDFpDECxJIVP0u0d+/j8nJl8nlUsRiC60LudzJsv7fFdi2YG7uQRTlaFkLr4DnWXiew4VKHxKyrKCq4XKMn4Hve6RSUwwN1Y9bjEZ3k80+hu/7yLKMKFdr6JEM0iJKyk1wz/gE16kK3pvfXJ1B01ULeaewEith7XsWWA07JXa/gfahHint7+/n+uuvx7Isvve97wFw/PhxDh48yJNPPsnmzUvLMd1zzz2oqspHP/rRymeGYfDhD3+YT33qU4yNjbFlS30lgVryB/CmN72Jvr4+jhw50vT1rRe6d4V9lWKtXcCBe245Tb9W24bOEthq/TlYPsljJeikBTAgqu3InO0kgoojQdznWpSaE0I9PS3yAAAgAElEQVRw5MgRvvOdH/LCC/MYxhVcfPENqB6o3/s+0vQ0Gc3mJWsO1fu/UTOCtHwKidPIShJdbyyg7LoW+fwMxWK+TBaTQIpisUAyeS2qGi6HDpxBliPE45chy+GgZ2ULkYvvu1iWR6HgAhZCuEiSQFFK5FDXVVzXrkgj6bqGqmr09e1mdvYE4+PH2bv3Wqp1AdPpY7hukbGxKUzTxTQLTE8/TCx2JYYRRdMG0bRwOZZRxvMcPM+mWMxj26nyhq3AmTNHcRybvr5NhMMLqwglEntIpx8jnx8lHt+NiMcRPT0k5+ZQUfG8Xh4en2D6qp3E3//+9t/cNmAtSdZSVsKgZnXwA4uthIEbci372y3oRgtgo1jxQAQ6uF8XXXQRF110ER/84AeXbfPZZ59l//79ixJIrr/+egAOHTrUkADWQy6XI5vNMjAwsOJj1hsbBLDD6PRLFBDAbDaL67pNx6At1zZ01gIYuKmD0nnd5KauB8uyVpxFvZ6wLKvkImyDW3olhHp2dpYf/vBHHDw4imluY8eOWwmHewGQXzmOND0FisrTqcfJu9vpUW/GdtK4YgxZGkf2R1AdfdGMZNt58vkZHMdCkjTC4X4ikR583ySVehbDGMQwLsTbeN4ryPJwFfmDwOImywpQW19YlEuZZcnn5/A8p6zEopDLuSiKhKJIGIaKYWwhnT7OxMRZksk+0ulpstkpUqmD5QXIYmjoYubmrkLXs+zdu3RFkwt9djh37llmZ88wP3+WVGqMcLiXoaHtxGKlmMN4fBuy3EM6fZR4fDcA/s4dyNEIkXMmOdtiSh/mq299K//pkktKV/YadgO3guokEdd1KzWsq7NPq8esOo6wk2LVG/epdWQymZYzgMfHx+taCYPPzp8/31R7n/vc53Ach/e9730t9Wc9sEEAO4zqAPp2ozpTCmgqWWI9EVgroTT5trvf7bYABm714Pd2uqfb2Vff98nnS7VrZVkmkUh0nFA7jsNdd93F/fc/wvS0KFvfHGZnz5RdayrKyVMo8+cxhckhkcXjHRScIgXO4lJEEnPo/nVYqQkoRiAUwnEKmGa6vPNXCIX6iEZ7yhqBglTqeSTJJR5fKBvjeWdRlItX2HcLy0pRLObwfQ9JUtG0JOFwHMOIIISP57n4vkM+7+B5/RSLxxkdPVS2GProeghZTjEw8Ea2br2pPN5zzMx8jWJxBsNY3hqgKBojI1eSy03T17cPVRXMzo4yOnqIaLSfkZE9GEaYSGQPudyzFTcwsow/PEwypJI56+LoCt9+4nk+5LpdFz7RjSSnOmGkVpIkmFdrYwlrq5e0ixR200by1WYBjMViLfXVNE0Mo3ZDSKWefJA8uRI8+uij/PVf/zXve9/7uPnmm5vuy3qhu2aJ1wDWygVcndEJkEwmOyrV0i5UJ6fAhcSJdqNdfa6OoQMWqNp3C2qTUaAULN1p8nfy5Enuu+/7HDhwgrGxQUIhHSEglSoAfjnpwYOZc+AXmGAckxtQeR158thMIZHBx8cRW8l4OUQui2+C5/nIslq2ZPtY1hyWNQcIXHca3z+Lpu1mfv4MkiQjSQpCuGU5ll/BNOeRZQ1FKf0ELlvXtTDNFLadK5ebU1DVKNFojFAouuAdkiQZVdXLFSsmKRbHkSQQIocsjxCLXYRtny7HJY4wOnoOw9DQtB14XoTJyZ+wZct/WFD2rxE0LUQolCCXm2HfvhsYGNjFzMwpZmZOcuLE0/T3byMe30M2+xSmOU40esE1lUj0oSgGstzHqVNHePjhh7n11ls7cctf8wgkSZoRLl6tlbAbyXE3YikXcCsIh8MUi8VFn1uWVfn7SnDkyBHe/e53c+WVV/Iv//IvLfVlvdBdK9lrBNWkr90EsFbTT9M0isViR3Zr7SSAtUkesViMXG5lornNoh1jUTvO8XicdDrdht4txGotxPWSUTKZTEd37/l8nocffpgf/vB50ukRrrnm/+WGG0puGFVdGA8pZdKo37qXCe8o37Ilevh1otIQaTGKwANGcdHwMfHEEQQast9DJLKZaHRreXxKWcEgKBZn8bxZDGMrhrGjHP9ayhb2vGP4PjhOgmx2utwDUfm769plMqggyyqGkSQa7UFRDGqHqxRPOIlpnsN1Z5AkD00bIJm8FNM8S7E4haZFcN05FMUgFLoWITwKBRvft3HdnUxOPo1tX0s0GkbTlIoGZ5B0UHuPenq2Mj5+BNPMEg7HGRzcQ2/vNsbHDzM7ewpNiwIR0umXFxDAkqu/j3x+Cknq51vfun+DAK4AK5VAWk64uNpKWP39wGLYTZa0laBbLYD1kMlkWiaAmzdvruvmHR8vlX4cGRlZto2zZ89yyy230Nvby4MPPkg0Gl32mG7CBgHsMNpFABtp+gU7mE6Va1tt/4UQFWtltUBy9d/bjdX0eSlpl26bEIPkmWa1EptFMJ5CCA4fPszXv/4dXn7ZZnDwrVxyyaVIkoTrOvUP9n18SeKgfIIil9PL6yiIWTKcQcXG5RiwD5koiqSi4iH0PK77MpnMKLq+hUhkB5oWw/NMcrkTGHqE3r4bFyRiAORyv0CIHvr7X4/neRQK89h2rqyIoqEo4fKiLBDCo1jMUCymkSTK1kYdWQbXncd1Z4ACimIQje4iHN5ZKVGnqkkc5wCZzEvAKKo6iKYFz3Sk/C7eRCZzmEzmFJnMcOX9TCSihMM6oZCOYRgYhlGxHPX0bGVy8gizs+fZuvWi8rl0tm27hkxmkvPnX8CyIszOHmNkZKFQbW/vENnsOJo2wlNPvciLL77IxRevzBW+VuiW92e1c85SwsXLlTdrZCXslrHpVggh6no0VmMBvOaaa/jxj39MNptd0MbBgwcBuPrqelWJLmB2dpZbbrkFx3E4cODAq0b7rxobBLDDqF48W33Jl9L0W4uJo9UJs7QIF3AcZ1FySje6PZaTdllL0ealUN1PwzCIRCI1rsv29zOfz/PQQz/gBz94gXx+B/v334yuLx98LZJJRrVpztgqYe02st4kef8kEilkRpDwUaRrSGqXExEKhMOIZBLHSWGaJygWT1IsnkJVBvGcAogMyeiNSEUbdA3kC8lOtn0E3+8llTpXce9qWpJQKFp27y4sOea6Dq5r47pFisVZTHMMz5sBbCQphqoOIUl9eJ6BZWXRtDCqGkKWVeLxa0ilfoHvHyYe/5VKm45TwLKyFIs6nhfD854iFHoPoVAEXQ8DPtmsTSZjIkk5VBVCIY1w2Ci/2/1kMhN43p4FFVASiWEikR6OHp0lmz3K6OjT7Nx5beV64vFeFCWM5+lksyG+8Y1v8Fd/9VdAd5CLbnzf24Vq4eJmypsFxHCllWPWCp0yJnQCQQxgK3jPe97DHXfcwRe+8AU+9rGPAaXKIHfeeSc33nhjJQN4YmKCVCrF3r17K8Q/n89z2223MT4+zoEDB9izZ097LmiNsUEAO4BaF3CrWIk2XiNB5Xah1ZiWoJKHJEl1rVOdzjBuxq26msojq0Uz41vbz7WSoDl27Bjf+MYDnDwJw8P/nm3b9nJB025p+MLnSf84LlfjOhoOJ/BwgEF8xpGJMqhcjYoKho4oT+aa1oOmXYcQLoX8CbLp53H9HLo6jOnMEPFlZD+Cb+iYVgrLymCaR5Hly5HlCJFIbBHpq0ZpwQbPm6ZYHMP3M2iaQjy+H13fiueB6xZxXRvbLmJZOQLRaEXRUFUDWQbbnsE0I7juWRzHLFsbZVQ1imG8DiF+Sm/vILJ84XnS9UhpbPySWzqfL5LNlgihEBFM8xxnz77CwMAIhmFU3IiKorN//zt54YVDzM4+jRBhduy4uLJJiccHSKfP0dOzj4cffpL//J8nWy6R9cuATpKcpayE1aSwGsE8/2otaddJNFrfstksiUSipTZvuOEG3vve9/LJT36Sqakp9uzZw5e+9CXOnDnDnXfeWfneJz7xCe666y5GR0crwtLvf//7efLJJ/n93/99Dh8+zOHDhyvfj8fjvOtd72qpT2uNDQLYYbRC0Go1/ZbSxuu0Vl+z1qRaa2WtdWo1bTeDlbbbLf1dDtX9XCsJmmKxyEMPPcR99/2CbHYbF198G7oexvPqketSdY1avPzyA4ynFTz9dbj2OTxfReAQC1+JUL6K5+xBie9CyDK+quALF98uliuAlCpnFE0LX4CubkHgkrVeIsNRRC6GLCWQlDiS5KEoFtHoJcTjmxfF9AUoiUXPYlnnsO0poIimJcuafZtrxvSCW8jzXBynSLGYo1jMYNsZHGcWcLCsAo4zjarGCYeTRCK9yLKC47yBVOoXWNbTRCKvX9QXWVbKVsFAjsTDdXsQ4izT02MUsxKaYxLGIxyJoA8NoicSJJNXk88/Q6EwzcmTRXbtugJVVenr20QqdQ5F6WdmRnDPPffw4Q9/eKW3+5cG6/EOV1sJq/vh+34l6aCelbBan3CtrHLdagFslASykli9Rrjrrrv49Kc/zd133838/DxXXXUVDzzwwAKh53rhP8899xySJPHFL36RL37xiwv+tnPnzg0CuIESmiVo1e69lWjjdQsBrK1Asp6VPFYyeQkhME0Ty7LWtb/LjW+r/Vzt83D+/Hm+8pVv8tRTcySTN7Nv30Vly9Xy7ZYybdNkMuMcPPgNTPMaPC+DJA0ipAyK0ocnCazCi8jyW5jOnS0neUCJSF741/ezuO4ryESQpB0gfIQo4ItpBPP4Yg5JhIFJhHDJ52Us61h5wZTL+n8q4OK6KVx3FiHyKIpKOLyFSGQ3ihJpMIY+tl3AcQo4joXnFcuWZaksPJ1CiN1IUhzfn0YIHdNMlTOQVTTNQIgtFApP1iWAtQgIYTy+n+z8YeRsEUGIjHBJmxby/ChqbxK0zfi+YGBgM/Pz45w8eYgdOy7DMMJoWpxsdhZd38V3v3uA97///a+6wPRfFgQkLyCGhmEsaSWsrXH8y2QlbDSf1cbvNQvDMLj99tu5/fbbG37nzjvvXGARBDh16lTL5+wmbBDADqA2HguWX5BbdUN2AwG0bbuS5NFMBZJOWdSWa7daQqfZiilraT1otZ+r2b0LIbjrrrt45JEnOXWqyMDAZUxPH+H8+eeQJB/XtbBts+weNXFdB88r4jhFXLdYrrbhAzLp9FlSqU0IMQL0Ikk6kmSjaZcjxFlAoOuXo+v95Xi3YGErVcxw3TTZ7CtEjF6S2tXk3AxFt4CuJQjrWwlLOraax3TOYpo/w/dBiDxCzCJEBCF0HMfE91P4fgpwkaQIijKI7ycwTYli8XzZWugiRPAjARJCKEiSCigoio6mJdH1MLoeQpIUZmcnMYxLicXexvz8Y/j+DOHwfiCM41g4ThHP24HrvsjU5FNoygC6bKDrETQjAg3c9yFtE3nveUzm6FV3EswCvufgZGWKkW0Uizrnzz+Pql6MbU9w4sQhdu26nGRyiOnp4/T17eHMmeN897vf5bd/+7fXpbpFLbrJqtRNfYELVqZGVsLq5JJOWwm7zQK4VDhVLpdr2QW8gQ0C2HGshKBVL/TNuvc6TQCXwlJJHivBWrtU60m7NNvfdqPeGFRbU9eqjBtAoVDg61//Nz7/+W9RKJQWoZmZRxECZFlHVY1ypqyBLBuoaj+aFiIcNpBlrfx7HF0PY1kzHDjwTwhxFaq6md7eG8lkHiccvrhk4co+jhCD9PbeiCzp4LqlHySQFBxMcrlDKIqMpl3EXH4CUIgYfUSNOJLvgywTCm8mJG9BiO/jupeh68MUi+N43gS+7yBJHqqqIUkhZLkPUPD9IjAJePi+iyS5SJIH2HieVZZbKRE/UJCkEJIUQogQjmPg+yF8fx7fn0fT9iPLOr29bySVepxC4SVCoZ0kkzvLbuBeZmefQPKP4vt95EWGvJVCAlQ9hBaKYxhRVDVccVtLtkuEYXJM4AgTjTA2DkUsbNvGRUOIrTjOKxjG25CkJIXCy7z88tP09+/EdSGVmkeIEe6990He9a53oapqhVxUW5HW0q3YLeimvsDS/alOGAlQrUvYyEq4XiXt1hqrtQD+smODAHYAK7UArpaQrAXqJVRUS5AESR6apnXNRFNLqmqlXVZTb7jTi0e18PRa9nNsbIy77/43nnkmy+tf/+fE4yNl7bNQxfIQCoXxfQ/HcZGkklBysMAEZbQ0TWNy8jDf/OancJxL0bRLGB5+O6nUc0iSRzR6GQCO8zyKckmJ/Fkmkn1BRsbx8qScFxFSESF2YVp5dKOHhBZHAfB9hKKAYSAkCbs4j20fAS5DiBkSCYXh4R76+3tIJpN4nodllchT8CzLsoyqqpW4z1gsRjKZJBqNUCiYZLNZCoUCuVyOQqFQ/j1LLjeNaTpY1nE8b4pCYRLL+ikQQZb7kCQb0zyOZU0Qi+0hHB7GUC/Dc56hN/YuJFmi6BSxHQvXLVLIpygU5stJAyXroO4pqPThM8aMdwaVfkqOZwkVnUi4HyFdi2meJhIRaNouQqEeUqmnmJk5hyxHmJkZJxYd4pmnfsIX/tf/4r3vex/Dw8OVdyHAL7NbsZvQzDse3KdasepqK2G11axZ0t9IcmW9sJwFcIMAto4NAthh1COAjTT9Wlno19oFvJQkzWrb7gRqrZSrqTfcSYLbzs1As5nFzzzzDF/5yoOcO9fDvn3vJxRa6FIpCTGD6zoV8icElbi94HS+7/P88/fxzDNfJpdLoChXMzDw77DtNI4zTiy2H1nW8P00rjtNJPJOcF0k2ykROknC8XKkis/hellkdR+SEqWnZ7CULCEEvufhuBlsdxonM48Q88jyDJI0x9atA1xyycXs2bOHSKR+XN9KEI1Gl4yb832f733vf1Ao7Oayy64hm82SzeZIp+fIZDwsS6JYnCWTmSOdDuO7BpAlaz1L1LgSTVFRlSjC0XA1maJXxLYLFIt5LCuL5znICCCJzzwa/STlJIaQkIwQItGH78ewrDim+Ryadgu63ktPz3Wk08+AkJA8GT/tUxT9fPGOOznxk2MMXXsRV1yxmz17drFjxw4SiURZDqc7kg/WEt10Te3QJVzKSlivpN2r0UpY20chxIYLeJXYIIBrhOAlbyeBgrUjgJ1I8uh0DKBlWQuslKuVdmlWXmalbQohKlVGVrMZaBau6/Lggw9y331P4fuXcemlNyPLi0lncI8cp1RjVpaDZ65EAkuJKjkOHvw8ExMnyGQyyPIN9PT8B2Q5Qir1DIqiEw7vA8CyHgcMQqHLwXGDgcB208zln8Hzs2jSxUSMTYTicRwnRSZzBs9LA2kUxcEwBCMjMTZv3oLvm7zyylZuueXdRCJ96HpnpXEkCSzrLNu3X8Gll166aKzm5uaYnZ3j7NmznD9/nqlxC88PkSt+H9PJI0QUSTKQhI5kh0EuxRrqehhJUhFCQjgWvm1gk8ZiHHyBLRno4Si68Msu+f3Y9vOV2sC63ksycTXpmYMIH2xSxORLMZ1p3Occ5vRevjM6jSQdJpmU2LGjj8sv38uuXbvYtm0bhmEs6VZcrZWwW0hGt7mAO4FGVsLq5JJ6VsJAl7CbPFFL3a8NC+DqsEEAO4BaF3BAHPL5fEeyZDttSfN9n3Q63VLSxHLopLByoVBoC8nuFHzfr1RyUVV1VdbJWiw3rplMhq985Rv85Cdn6e9/O8PDl9b5lsBx3AoZKGnSSXieXwkUlySFdHqMn/zkdkzTR1UNXHczuv52DGMrudxxfH+eZPIN5X5Bsfg0srwdVR0Cp2QFLxQnmS88gxAWqrwVRU7juBO4OQ9N84jHVQYHEwwObmdoaJhNmzZV3p9f/OIxNK2XeHyg3LcLVslOYH7+PI4zz/DwbYv+JkkSyWSSRCLB/v0lwiudH+fRRxyOpR9luFeQKaTImz6Op+LKEWSlD03rxTCSqGpVPeJiESujM188jCfbWEoEMzeFlJ1AUXUkZTOe9xSOcxrD2AWALqIk2cU8x3EQeELFYYAT+eO84/AluO98B05PkkxmjCNHTnPo0EsYxi/o7VW55JJt7N+/m02bNrF7924kSVoy+aCZcmfdlljQLVirsmvV96xWrLqeldBxHIQQC6qXrNf9W2qMVqMDuIENAthxBA9voPW0mriuRugUAayeFBRFaXuMYrv7XS2ZArRdKLld/a3VeQTaSv6W6+fZs2f5P//nG7zwgsPOnf+ReHxxCSPf93EcG98XKIqM5/nl/omyRbiU6Ts29gwHD/4vJGmIyy9/KwcOfA4hbqav79fwvAKWdRLDGEHXB4BAT+84inIL2ewkrm1immfxxDkUySIeDpEMTTJgSPTs2kH/1m0MDg4QjycavjOp1AkSiZ2URJ/ba6Gth7Gxo0iSzaZNV6zo+2JokKsuezPnn3iGveEUl21/HZ6qcj4a5bxtMz4+ydTUCQoF8LwwstyDYfRjGH2EBvcQzRSwzAkSyiCyiFH0HWyniF2M4GIwO/MI4fC/QzeiGJ6MISXpUfcx5x4hJ86TYA9neIzxqZfZfI+NfMkl9F9zDX17SqTRNNOcOPEjHn/8R8B3kCSX173uUm6++Tp2797N7t27SSaTC1yKtVbClZQ76yZ0e//WAoFYda2VMFCiqFfSrtZ1vNb9rcaGC3j12CCAHUSg6RcE1SYSiY5YojpBpIIkjwCxWKztL3w7+12dSa1pGo7jdJUbI0BtuTlVVStu6rXAc889x1133c/YWD8XXfTeSlWKC7hg9ZNlqaxN5lesfiUdwFJM4Esv3c/hw/cSj1/BG97wu9x333/CsrbS318SH06lDiFEEVkeIZ0+h+fZuO6LOE4BVd2E66ZxnDEU6TxxNcvbdu5gV08PEV1DbNmC2LULGlTyCOD7LtnsBLt3L6+z1y5MT58gGu0hFFqh60lVSVx1PT1nX8cp+ySX7P5NpGQPI7EYgYStbducO3eO8+fPc+7cFOn0edJpFUiiqj3I/jgZ9yTJyMXElQTYNsIOM+dfRFE8iWuaOHaRvPCQPRdN0tDpp8AYGSIY9PMMx/l1cwTp0CHmJo4ytiPCZP4sqdQZXFegKAl6eq5meHg/tq1z771jyPLz9PTI7NkzxKWX7mX37t1s3769ollXm43ayErYTW7XbupLgG4gpME9g5JHQtf1RbqEtbGE1a7jTsWLNrpfpmnied6GC3gV2CCAHUKhUMCyrAWxGJ1yQ7aTSNXGKCqKsoAIthur7Xd1uTxVVYnFYmXrlbP8wS2g1f5Wk+pqncfABdxu1PbT930eeeQR/u3ffoplXcIll7xtUbxfYPEtZfMGlgEJ1/XLbQb/wpNP/n+cOnWQgYHrueiiX+GHP/wE09M2kvRGstkstn0czzuNqu7BNE0URUOWo8jyCVR1hFBoP6Z5lHB4lr17Rrj1umshnQYk7EQCv7cHyfWQJB9ZlsoZx3BBKLqE2dljeJ5gaGhtanEK4ZNKHWfz5ibPpyjsvPhNHDp0hNmwR19N/VJd1yvWNiEE8/NznDlzlrGxcSbHjuFhU8RlrvAimtRPgj50JUJcughXvEBcS2Go+7AUcDIpHGHj0fv/s/fe4XHc573vZ7Y3AItFBxa9AwRIgATYSYmkqG4pKrYT24lbfHJzfJ4cO3FNnHMdOzfnnFj33DiOndhxZKtYlkR1iU0SO0iCFAiAIDoBohC9A4vF1pn7x2KWC2ABolKww+/z8IEEzPz2N7+ZnfnO933f74vAIG7G8WCmhg7G3EdQKhR4ulQwGo7RuhGr9SAJCTnExWWgVM58JLjdDsbGblJV1c6lSxXo9eeIitJSUJBGZmY6aWlpRERETK/Nwu3OZALxcSlI6xHrjYzODrfKKmHg32eHjj8uJXhiYgKDwfCxNRz4fcDdlVsDeDweHA6H39PPZrOtuy/6bMzuOCGHT2WCshY5PCsdL9CAOjC0LpO/1V7z5c43UPWb3W4usIhntdZ39jhOp5PXXnudw4frMZl2kZFRNGubmaqfRqMFwOGYYHJykPHxXsbH+7Hbh7DZemluPoYkaTAYLAwOXqar6yz9/S1I0kF0ugOACxhEr08mNLQIlUoNCAgCDAy04vUm4nBUExo6xf7999xqpB4TC0gIEigkcbr6WJomoF4APxn0/RTo7a1CEHTExKStytrdDiMjPbjdQ8TG3rfkfdPTN1NT8zqNjSfYvv0L824nCAIWSwQWSwSbNm3C3ddH16lTdHg8NA2NMekYZ1DsRPJqEdDjxcCw9xI6ZSiCoERSiOD1ACIqUnFzHQktbiK5KXYQSQRmbQjZ2gysu/8YQ2jUvHNRq3VERmYQGZkxXQg2zMhIO4cPdyAI7xEWJpCWFkl+fgbp6ekkJyfPSLuQyYJ8H5lPQbrTeWZ3yefyEGhWPTuXUCb9brd7RfmiszFfDqDNZsM060XqLpaGuwRwDaBWqzGbzX7Fby2qRwOxUgUw0HtudpHHWt4olztvuaDmdtYua1lgsthtA7u7rHZO4mLQ29vLP/zD/6ax0YVOl4Ek9VFb+xYezxRutwOXy4bDMYnLNYkoOqc7fDhwux3T16wSUCBJSiRJwG7vRxTjiYwsJjk5m5CQCE6c+BYKxQYslr9ArY5heLgMjUaLxbJ1uqoVQGJsrBKHox2VKpP4eIlPfOJpDAbjLPIrTHsMKrl1SqVpMigGqA++v/T316HXx6NSaVlMm7qVoqenCXASF7dpyfuqVBri4rbQ3f0BHo8LlWpxVenqiAjSExLImJzk3sxMBpqaqBwZoddlxyWMM+YNxSW24fbWg2BGEowolBo0og6NpEMil3GakYhBYIwITRJuJKrGrlJ5+DsYTRYiIzOJjy8kPn4jKpUu6DwEQcBojMBojACK8XpdjI7e5Nq1DioqqtHrzxMdraOgII2sLB8hNJvNqFQqv0IfGFacT0Fa6zyz9VSQcqeKQBaL5cxnIZXwdvmii6kqn+98ySbQ62XtfhdxlwCuAeQ3pMD/X0sFcLkEczHec2tpM7PUdZntnzifAfVa3RCWMm5gKH2h7i5rtb6SJNHd3R0uLUYAACAASURBVM13vvMDKiq68XoF4Ca+EKoCQVChUKhRKnUolXo0GjNqtRGTyYBGY0CnC0GnM6HXh2IyhePxjFNW9k9otVls3foloqJSEAQoK/s/OBxG1OoHUKvjGR29giiOER6+B18bNQGPZ4rh4Ro8nkOoVBr27j3A5s2lADOuW0EQsNmG6e6uY3S0i4mJHlyuCbzeSUBAqTSi1ZoJC4snIiKF+PhcxsfbsVi2zQo1evxKg299V+966OtrXlr+3yxkZ+/k5s0TtLaeJyvrnsXtpFIhZmaguFaLMDBAtEbDA2o1REYiJiQwqYTXqruJVAwSpjYwoBAZmPTgdIHTrUSQTOgIZwoJN2aGpA4+H/qHjKZa6YzU0NvbTHd3K+3tlQiCl9DQGGJj87Fat2CxpM77gFYqNUREpBERkTYdQRhheLiNw4c7OHLkHcxmgczMWDZsyCIuLo6kpKQFFaTfJ8+6/8wIPMcyFpMvupD35HwEcC1y0/8z4S4BXCMEkps7QQBXQqQW8p5ba59BeezbfYlnh1EXsnZZqzkvZp1nh9JX0+5nsRAEgebmZl599ThTU7ns3/+nqFQ6VCo1arUWpVKNx+NF7twR7O39ls2LQFdXJefP/wSVysrevV8hJCQKlUrF6GgbtbUfANuwWD7D5GQLHk8XJlMBSqWvA8foaBMuVwdq9Rg6XQdJSXvZunVHwGfB6Ggvzc1n6em5gt3ejiRNodXqMBgiMBrDUKvDkCQRj2cKh6Oe9vZztLRISJKB0dEOYmLuRaVSThMJnw2Mx+P1H9OtHEJh2sNweQ8MX/5f09Lz/wIQGWklJCSL1tayxRNAQIqJRdTpEfr6YHQUhdEIXi+4XJhEkXhtIjbVTbYnpaFQKPDodXSPj9M1NERvdzcDLgFRUjJFOD3OPl6xvcMTRc+SFxJCXt5uJElicLCTrq4GenubaGq4QGP9h2h0eiIjM0hI2ITVujlI0ZAPgiBgMFgwGCxAMR6Pk76+Bt566wiHDp1GFG2kpMTx9NMPk5mZSVpaGlqt1r9vsGrU23nW/T4ZVa+XY1grRTIwFCx/zkIqYeA5nk/cuNsGbuW4SwDvENYLAfR4PNjt9kURKXlsWDsF8HZYD2HUxSKwEnmxfomrvb6SJHHp0iVefPE4dnsmeXkPoFTeWi9ffo5PIZttRyTflOV5+YjkB1RUvIDRmMfu3V/CYAidzumTeOedr+NwxGGx/BlOZw9TUw3odFYMhjRstk5stiYUiiEiImDbtk1UV79HXNzG6Xwwgc7OqzQ1fcDY2FWUShcWSzpZWY9jtZZiNEbNmM/stRoZuc6VK79mcLCCGzfeZnCwntzcB0hK2oharUUQZCIhTVcxe2eMI+cQzldcEgwryf8LRErKVmpqfsnISCfh4YmL3k8KC0MKCwNAnJpC0dODMDSEqFKRFnEvF5sP0RsKCcMu1C4XiWoV1tBQFDEx2KKi6LjZRUWrgq7xCK7b+vjJrx5h+/Yvk5V1H6GhsT6PRVUICm8kbiGDzsk+usRx+vv76e7+LRUVL2I2JxAfv5Hk5O2YTDNzB12uSXp7a+ntrWNwsBmbbRBRVKHTRWMyFQKJvPzydbTaCiIjNRQWppGbm0VmZuYMK4+letbNVgkXU2y33gjXesOd8CVcikoI+Isq6+rqyMnJWVEOoNPp5G//9m95/vnnGR0dpbCwkB/+8IccOHDgtvuOjo7yzW9+kzfeeIOpqSlKS0t55plnKCoqWtZcPk7cJYB3AOtBAQxUptYLkbpdAYTb7cZut982jLrQuHdivr7keLs/z+nj6uksiiJHjx7l5ZfP4fVuJDt7n3+eMyt8b6/6AVRVvUR9/TEiIrayY8fn0OkM02E4+OCDHzA87EGjeQhJMjExcQm1OgyVKpGenpNIUjdhYQqKijZQWlpCU9NhBEFPevoW2tquUF//DpOTjRgMJvLyHiA9fT86Xaj/oRC41rICEHg+w8MzMJmiiY/fyebNT9LQ8CYVFT+lqSmf0tJPExWVNE0kwJfH6FMbpeniElEUp3MTvdM5hzOLS4IRwq6uBsC1rPy/QGRmllBX9xYNDR8sWAyyIPR6xLQ0SPMVvySKXq50nKVhoo3YggcQuruRJu2I8fGQmIjeYiE7P59soLLyAidO/AcuF5SV/ZyamjcJDY0mO+keckfD0Do9qE0m0tSJpE9OIkZsZjAtgbbuBvr66qmpOU519RuAiFZrRKcLRxSd2O1jgBqlMpSwsFRycvZhteZiscTjcrn8pM7hGGd4+AZHj97g+PF3CA8XyMtLZMOGbLKysoiMjAwaAlyKSrhQSHE9kq67hHT+lnYOh8N/vkdGRti7dy8ajYacnBxEUeSVV15h+/btWK3WRa/j5z//eV577TW+9rWvkZmZybPPPstDDz3EyZMn2blz57z7iaLIww8/zNWrV/nmN79JREQEP/3pT7nnnnuoqKggIyNjxetwJyFI6/Hb8HsAt9vtf3DJLcnCw8PX5Isuj2+xWIL+faEij9tBFEVGR0dXpZVasHnZbLYZBTMwk1AplUqMRuOSwqhrNWen08nk5OSM8xi4tssx+fZ4PIyPj684VOx0Ojl06DUOH27EZNpNZGQOOp0vmd/tdk9X+CrmhPqDqWyi6KGs7J/p7KzBar2P0tIn0bpcKLq6wOmk3d7CG5d+ituzBbP524yPf4QoOpGkSKAfvX6SlJQ4HnzwQZRK33n98MPvMTg4gdEYzcTENUJDw9mw4WkSErYCTBOymQqknCAeWEwVSFYPH/7v6HRZ3HPPVwC4ceM0V6++hNutJDv7cTZuPIiwoI/gLYVQrjgOXIfAimMQ+PDDf8XhuMbDD//vBc+FTEYWesE6f/4VenqO89hjP5y36GKp+OijI7S2HuaRR/47BkOoXy0LNo/jx5+no+MKoqjF47GhUhkQHRM4HaOE6kMwac2Eai0IkoDktOO1mPFo1bjdDpxOBx6PF5fLi802gcGgQaPRERYWx4YNj5CRsXPOugcSwJlr5WR4uI2RkRt4vTcJCxNJT49k48YcsrKySEhIWLR9ViAhlI9dRmBI0eFwoFar/SHojxNutxun04nRaFwXJFB2sFgv8wH81lk6nQ63201VVRXl5eWcOHGC8vJyJiYmAIiPj2f79u08/vjjfPazn513vEuXLrFt2zZ+9KMf8fWvfx3w3T83bNhAdHQ0ZWVl8+77yiuv8OlPf5pDhw7xxBNPADA4OEhWVhYPPvggL7744ioe+drjrgJ4B3An5HSYq0wtpshjKWOvNoKNvVJCNd+4q4HAcWWSupK1Xa25jo2N8dxzL3HuXD8JCY8SEmLF4/EsS/VzueycOvU/GRzsITv7U2zceB+q/n6UFy+CzYbNY+PYwG9wifHoDU8wNFSGKE6gVJrR6W5itYbxwAOPYzDoA+Z3k+bmU6jVMeh0NrZv/zJJSTvnPNgD5xT4MJfXKZAUiqKLyclBrNYHUSqVeL1ekpJ2ERtbTGXlv9PQ8CK9vfXs3v1F9PoQf5h35rUk5wQqppVC+bNlUihyy/tQYmSkEas1fVWqSHNydtPRcYLm5rPk5q4spHxrzO20tp6kqekcmzbNbVMXiOLiA4yMtBEbm8bgYD9O5wjR+kwGxpw46WfCOcGkqx+9OoxI4tAqY1BHxKPVGtHrQwgJsRAaGoNeb6Sjo5bOzmsMDdVTUfEC9fVvEhdXSFrabiIiFrbnUam0REdnEx2djSh6GBvroqamhYqKckJCzpKYGEZxsY8MpqSkLPgdm6//bbB2dnKrs4UKD/4zYr3qQfK5UavVlJSUUFJSwsjICPn5+Xz729+mvLycixcvcuHCBa5cubIgATx06BAqlYqvfOUr/t9ptVq+9KUv8d3vfpeuri4SEhLm3Tc2NtZP/gAiIyP55Cc/yQsvvOB3pvhdwV0CeAdwu1DnamMpRR5LGXO1MTvMJxMqtVq9KmHUtbqZuVyuVV3blaC7u5tnn/0t1dUu0tI+idEY6X+4OZ3ORef6AdhsA5w48fdMTrrZvPlPycwsReH1oqyoALudSbOel1ueZcirA7YwMdkDggOdzkBsLNx77wPExt5qKyeKHq5de4WrV1/C4bBTWLifbds+j0IR/LYTOJfAZHFZHQy0DOnuvoLXqyQqKm1G39KQkHD27PkGra2n+Oij/+D993/E7t1/htns8xj0fY587c0lhPOFjfv723G7h4mMfNBPImTSsBzyYLHEYTbn0dpatmoE0GQyExlZQFvbFQoLHwDA5XIwONiF2+1CpzNgscSgUqmJjIwjLm4D/f1X2bPny1y+fJSR3gZKLIVkpj5Ey3A7jYN1jDtuYvO2kG5OI6vkkaBFIJmZJWRmluDxuGhvv0Z7ezVtbTW0tp5HrzeRkFBEYuJ2IiJSFpy/QqEiPDyZ8PBkJEliYqKXtrYWamtrMBovEh9vYvPmbHJyckhNTb3tg3a+kKKsKH2cJsbB5noXwTHffdxmsxEZGUlsbCyPPfYYjz322KLGq6ysJCsra07+YElJCQBVVVXzEsDKykqKi4vn/L6kpISf//znNDU1kZ+fv6h5rAfcJYBrhMAv9FpX0s4mUoGtxgwGw4o6kNyJKmCXy+U3il0NQrVWN1M5pGS32xf0H1wKVrK+jY2N/Md/vEZbWwjZ2U+i0Rj94S9g0aofQH9/E6dP/yOSFMaePV8lPj4Tr9dFb90pejuP0K8Y5npXAxPeMCADSEHJJBGRBkq2FrBhQ/6MtRgYaOTixR9js40AeqzW3Wzb9sUlr5f8EJ99DAMDtSgURiyWBP/ayQ90hUJBaupewsKSOHv2f3Hy5I/YteurxMSkTW/rU/kCCWEgGby1Lrc8CXt7G1EqPaSkbEGhUM2oYgxUKZfS9iwzcyeXL1fT29tAbGzO4hdFElF0diIMjyAZjYgpyaD2pTrk5u7gzJkKqqvfZ2hoiMHBFgRBnD5WAUFQERZmJSkpn02b9nL8eDN1dcc5ePDzlB1/kYoblxj0DLE9/WEyw5Pp7Wnl2kQrtb1XaHi7iuTkreTnfwKDwTxnWiqVhvT0YtLTi/F4XLS1XaWjo5qWlis0NZ0iJCQCq3Uz6el7g/afDoQgCISGxhEaGock7WRycpDe3hZ/EUlsrI68vCRiYqL9OWGLgXz9BXoSLrad3VqohOtNcVurKuCVYCEfwNTU1CWP19PTQ1xc3Jzfy7/r7u5ecN977rlnwX3vEsC7mIE7RQDllmirXeSx1oTK4XCsClkNxGoW3kiS5A9NA8sOTa8WJEni4sWLvPjiMUZGksnNfQCFQoXL5cLr9frnFUj+ZvvtBV6Tra3nuHjx35CkELKyCrlx412uXOlkcnIIacqNyuHApRBxijEI6BHYiFZhJ9cosPMTBzHFRAd8jofKymdpbj6OVpvMzp1f4NKlZ4iNLVqVcyvPe2ioidDQNFQqH8kNFjYOCbGyb98POHPmh5w9+0/s3PlfsVpzAgij3Nf41r+ZawQyMezvbyY0NCZovt7ssLU8jtvtnhG6nn29pKZu4urVOBoa3l80ARTskyiPHEXR2wtycUxYGJ4HHkCKjiYmJhWHQ8eFC68SF5dFZuYuEhIK0OlCmJwcZmCghZ6eGqqr36G21gio6O6+Tn9/K3sf+jw1J8w0NJ5irOZX7I29j9ioJKJ3H2REI3Ht2mlu3LhCW9t54uM3kp//Cczm4EqJSqUhI2MLGRlbcLmmaG6+QlfXVZqaztPY+AFhYbEkJpaSnr4HnS406BiB58JkisJkisLlKqCh4Tjvv3+SI0fOo9Go2bXrPNu25ZGbm0tmZuaCuX2zCc5S7UnWQiVcT2QL1t985oPNZluWDczU1FTQa0TOmZajO8HgcDiWve96xF0CeAew1gRQfuA5nc4lVcsuFqtdxRxo7QK+L4/BENxf7ONGoP+gSqXy//y4bpJer5fDhw/z+uuXEYRisrN3IoqiX0GVVQ05LApM/78Tu30Qu30Qm62fyckBJib6uX79JBMTQ+j10ZhMalpaytDpogkNzcFqTSLWnMj4yZc5MVCFU5IQSCVco+dAqIbMlBTE6FtWIENDzZSVPYPdbiMp6RG2bHmMgYFa3G6JlJS5YZPlHr/L5WB8vJu0tB0zlJ9gYWO9Ppy9e/8Hp079gLNn/z+2bv1zEhPzphUdwV+sEEgCpenOJT5+JeH1uhkbayQ1tSCoGjHb0kIuApHDjIGkNNCgWqFQkpy8i+bmV7DZBjGZIm97/MpzZSi6upD0elCrwetFGBtD9f77TD31BCfP/AZJGkGtNlFa+idER2f5XwTN5gQSEgrYtOlxRke7qK8/zs2blUxOOnn33Wd48sm/o3D/E4QnZ3H50hscnjpNadKXsEZHYwZ27fokdvv9XLt2ho6OS9y8+XdERaWTn/8JYmLmJ7AajY7MzBJyc7fhdNppba2ks7OKa9eOUVv7NhZLMsnJ20lN3RGUYNvtw7S1XaCrq5KRkU4kSYXRmERyciFJSXlMTQ3x5pstvPdeDbGxOoqKMsnLyyEzM9P/YF4s5rMnma/V2Urb2a1XBXC9YCFFcrkEUK/XB+3B7nA4/H9fi33XI+4SwDXCnQgBB+bNgU+ZWuoNbzFYTQIY2CFDq9X6rVNWGyuds5xDJ+cLmUwmFAoF4+PjqzjLpV0bo6OjfOMb3+LGDSdOp4GwsAZ6eq7h8bimixU8eL1u3G47LpcDSXLjdjum27u5EQRfWzdQIklqHI4hXC4NZvMBiovvxWJJICLCik5n9H9mR8dFTkxUM+IVUWAiQZPGH0aEog0JQSwoAMHXhaa6+jkaGw+j0yWzZ8+fEx+fBUBb2znU6kji4zNXtE6SJOHxePB6vQwONiJJCuLjg5OO2WFjtTqCgwf/ng8//B9cuvRvqFT/jejoVP+2CoWs0Mlhvlsm1ZIk0d3dgtc7QWxsoV9JnR0uDvaAmq0syaQ00JMwM3Mrzc1HqK09SmnpZ/yqY9DjmrIj3LiBpNH4yJ/vQ5D0erzDQ5x872eMeDrZteuL1NScpKHhA6Kjs4KOZTYnsH37F3A4nqas7Dnq6j7k3Xf/kaSkEvLzd3HwE1/l7NnXKCv/JWkDjWze/CkUChUGQxilpY+yadN91NeX0dp6gVOn/g9hYTFkZ99PcvL2BZVevT6E/Pw95OfvwWYb5vr1Cm7erKKi4jWqql4hKiqTlJSdaDQGurur6eurw2YbArSYTClkZDxBaupGwsNjA0ZNxmotxuGYYGjoOm+/3cKRIzVER2vZvDmL/PzbK4MLQbagkTE7/P9xtLNbS6zH+c5HAAP9IxeLuLi4oGHenp4ewFdNvBb7rkfcJYB3AKtNAGeHJPV6vd8oea2w0rkH+hDKHTKUSiVOp3PNCkyWO+7sriMGgwFBEPwP7o/jLbm/v59/+ZdfUl4+gterRqGYYGSkFkFQolSqUCrVKBRqFAoNgmBGqfRZc2i1RrRaEwZDKHp9CHp9GIIg8dFHP0cQRIqLn2bTpuBFCB0d5bz++vew2yNQKgbIttzLE9aNYLHgzciAyAhGR9s5f/4ZxsYGSUy8n9LSJ9FofC8hoijS13eN6Oi9KBTLL+gJ9HlTq9UMDtYiCAZiYxeuMJUhCAI6nYn77vs+x459l/Lyf2Pv3q8REZHg9wT0emd2IZBJoUKhoKenEZUKEhIK8BHoW9fAfKH1YHMIlsuoUIQQG7uFjo6TFBR8ArVaNz1OEE9ChxNBFJFmvTBJCgVnnDcYHbNReu+fk5KyDZvNRUPDIcbH+4iIsM67Njqdif37/xyNJpobN47R33+N/v5GzOZksrO3MjiYSGvrBQYHm9m+/U/9IV+NRsfGjfspKLiH5uYKmpvLuHTpBa5efY20tN1kZx9EozHO+rSZa2MyWdi06T4KC/fT1naJqqo3aW29wrVrHwAejMYYzOY08vM/Q0rKRkymuXmHM48lhISEIhISivxk8J13Wjh69BoxMVo2b84kLy+PuLi4Fb0oB6qEs42qZZVwtlH1fCrhnSoMXCzWqwIY7PfL7QRSVFTEqVOn5uxfXl4OwKZN8/t8btq0ibNnz845b+Xl5RiNRrKygr9wrVfcJYB3AKtJAAPJiZw3JwgCU1NTa55juFzM50MYGKJcDwgMTd8ps+zFXBuNjY386lev0dKi45FH/h6l0oDX6/V3Spht/TM7Hy0wjDI01EJZ2Y8RRRM7dnyV5OTCoJ9ZWfkbTpz4KR5PIVptK8nJ+/jEE3+DOE3kRFGkvvZVrl17DZUqhp07v05S0oYZY/T1XcPpdJGcvDyH/EDVL9DDcGCgnpCQVFSqpXk8ajQm9u//PsePf4dz537KwYPfwmQKn/4s2STa5wnoayXnnT6OWsxmKzCzEGBm2PgWIQz87/kUwkASUVCwn+PHy7hx4zw5OQcC1KVb2yoUAoLJiMpgQJiYQAq4Lq/Y2uiWOthY8EVSUrYBkJe3i+bmD6mtfY89e/7Lbddm69ZHGBpqRqPxkJa2m+vXT3L58ivodJFYLOkMD3fw/vv/QH7+I+TkHPS/bCoUSrKzS8nK2kJ393UaGs5RV/chjY3vEx9fSG7ug5jNSTM+y+Nx0d/fSH9/A4OD1xkf78bl8iAIOmJiilAqI6b9BttxOvtpaXmTqak2MjP3YTYvrnPKbDI4ONjMW2/5wsRRUSpKS/MoLCwgPT19VSIQt1MJA3MJ5fOuVCrn5J6uB6xHQrqaIeCnnnqKH/3oR/z85z/nL//yLwFf+tSzzz7Ltm3b/BXAvb29jI6OkpGR4T+3Tz31FIcOHeL111/nySefBHw+gK+++iqPPvro75QFDNwlgGuGYDf8lYYk5+vksdY3kOXO/XY+hGt5o1nqnAND0/PlUd6JiuhASJLEmTNnePnlE4yNpZCdvR9R9IVcNRpNUEVJfjOd7YXmdrtpbT1FdfVLaDQp7Nz5JSyWOH+hgkxsJieHePvt/0p3dycKxUaSksKBVHbu/KJfxbPZ+jh//hmGhjqJidnFjh2fRqeb25Kpre0MKlUEiYlLr4qT5yyrfvL8RFFkbKyT5OTFWT7MhsEQzr33fo/33/9rTp36GQcP/iUajXa62veW6bQc/rXZRpmcbCc5+d4Z1aGBFjDyf8sPetmSRj4OGfOFjS2WeCyWDbS0nCU39+C0eXagJ+GtziXCxo1oyspgYgI0GtodQzS6GkiJLSB7yy1vMo1GR2LiNtrbjzA5OYzRGNwkPnD74uLHOH/+lzidEzz00A/o7q6hsfEDhoauI0lgt0tcvvwyDQ3H2bfv69OkWD42BQkJWSQkZDE6OkB9/Tm6uq7Q3v6DaXseK3p9CDZbH5OTI4ACQTBgMlmJj99HTEw68fFZaLW3cqhE0UtHR+104UkNLS1lhIREkJi4hfT0ezAaIxZ1znW6EKzWYqCYqalRensbeOONNo4erSEhwUhJSS55eXmkpqauahHafCphsHZ2drt9Ttj44yBi642MLgSbzUbYdGvEpaC0tJSnn36a73znO/T395Oens6vf/1rOjo6ePbZZ/3bffvb3+a5556jra2NpCTfS8xTTz3Ftm3b+MIXvkBdXZ2/E4gkSXz/+99ftWO7U7hLAO8QVkIAA3vMBiMnd6LKeL6G3MEwO0S9kLXLaheYLBXBQtNrkZO4mHkEwuFw8Prrb3L0aB0aTQmpqUV4vSJKpWJe1U9+aAReD7KtRVXVc7S1lRMZuZXduz+PRqOfkZNmtw9SU/MqNTUv43Ip0WpLeOCBz3Plyo9JSHiUuDhfi6OmpiNUVz8HWCgp+XMyMkqCHo8oivT01BAVtWNJ4d/5VD8ZAwP1eDwSsbHZix5zNsLCEti58+ucOfOPnD37LPfe+1+mDaFvQZj2CuzurkcQHKSl7UCr1c5QVmf3F5bPgUajCSCSwVXCwP0EQSA3dz/nz1fT1lZOWtp2ZnoS3lobqaAAt0qFsroa+9gQ5d4WQqLj2fTkX/srwOXP3rBhLx0dZVy9+taiWs4lJeXR2bmDxsYTJCRsxGr1/bPbR7lx4zw3b1bR399CX18nzz77OSIjU4iOzkCrNaFQ+EiO1+vC5bLjdk8hSeO43W7Gxibp7r6EyWTAYIgkLe0AycnFREcno1TO/11TKJSkpBSSklKIyzXFjRvVtLdfob7+DPX1xwgPt04Xj+wM6k8YDDpdGAkJxajVW5maGqGvr5mXXmrEaKwgKSmEkpJ88vPzl9RWbLGQX8wCX87kyI1CoZjTzi4wbHwnjap/VxTA5YaAAZ577jm+973v8fzzzzMyMsLGjRt599132bVrl3+bYCRcoVBw+PBhvvGNb/DjH//Y3wv4ueeeIzNzZXnOHwfutoJbI8gKhoyxsTFUKhVG4+y8mIXHCFTQDAbDvORkZGTETw5XG3LIeTFvWz4yYcftdi/K2mV0dNS/3WpCbg+00A0ikFgvpkWeJEmMjIxgNBpXtY3U7HPX19fHCy+8wqVLI8TE3EdIiE9pUavVC6p+s0mh7/iGuHjxnxkfHyE9/RE2b350xvno66ujru4durquMDTUBoQSFraDJ574BmfO/JCpKSUPPvh3SJKDS5d+TH9/M5GRJWzf/tkFc7J6eq5y6tQzbN/+DVJSNi5qHQJVP5VKFTSBvqrqeRoazvLUUz9ecgh4NpqajlFR8TxZWZ9i8+ZHgm5z4sQvmZgo57HH/mnO32RlLvDBLSNQHZyvlV1gCoQkSRw9+gyC0MeDD/7NgsUlAJLXy7GjP2Ny6gYH7vseRmNEULWxouIw7e1Heeih7xISEhV0rEC43S6OHPknBGGCBx/8v+esscfjoL39Chcvvo/T2Y0geDEa4zAYfGqcQqFBpTKg05kwGMyEhERgNscwNTVJW9sVBgauIoo2LBYr6en3kJKyfV5j8Plgt49x/XoFnZ2V2Gw3UChEoqIySEvbjdVavOB4coV84EuUJElMTg7Q1naR3t5yYJTMzET+8A//gPz8fKKibr9uldm9fwAAIABJREFUy4XshCB/9xfbzi7wulpNBLZdWw+YrzWdw+EgOjoau93+O1d5u55wVwFcI6wkBDxbQVuM79x6UNIC8+fWonfwcuY03+/lXsMraeO2FqiurubFF9+lrU1PUtKTaDQh/jDSUlQ/r9dLX18NH33074hiKFu3fpXUVB8Rs9n6aWk5QXv7BSYnR6d7uvagVieQlvY4Bw/+MY2NRxkfH2Tz5r+go+Mc1649jySFsGHDF8jK2o5SqfTnuAW7Lm/cOI1KFTEnLzAYZqt+csg3GPr7awkNTV8x+QPIyrqfoaEmmpvfJDIymeTkghl/F0WJ4eG6oNXGsgLo8Xj8ql8gwQvWyi5Y2DiQDObk7Oejj35GV1cN8fG31s23xhBoVl1Te5Yx23W2bv0TwsJiZswr8PPz8vbQ0XGBK1deY+fOL8+YRzCo1Rq2bv0kp0//jPLyX7Fz51dm/F2l0pGevoP09B3cvNlIRcWbOBw3CQtLZPPmP8JgmBtqlklXcnIeTqed5uZLtLVd5vLll6iqepn4+CKysw8QHp68qPNmMIRRWLiPwsJ9jIz0cv36Zbq6Krlw4VnU6ueJiysgI+NeoqJur8h4PA5u3DjPjRvnGBnpQhCMhIRsYGIimV/84hzh4afJy4unuLiAvLy8ZVWdLgRZ/ZOxlHZ2cmHRarezW48K4GzYbDY0Gs266Of8u4y7BPAOYbEELViRx2Le9NaSAN5u7NnWLnJhymqMvVzMN+5q9Bpe7fkKgoDL5eL999/n7bc/YmoqnbS03SiV6iWpfjIh8Xq91NW9RnPzh4SE5LFr15dwu0e4cuV5enurGRvrQxCMmM1ZTE6OYLf3oNFksH37l9mwYRd2+wi1ta8RGppPZ+fbDAy0YLEUs23bH2EwmP2ETUag0iWve29vNdHRe24b/l2M6ndrW1+v2OTk4GHn5WDr1v+L0dHvcOnSf2A2f5ewsFtqT19fK273IFbrzHxD+UEsiuKcOcs/Z9u/BAsbB66ZQqEgI2MLdXWpNDQcIzGxcPo8Q6AnIcDoaD8NDceJjy/wF33ICMw983g86PUm0tL20NLyNqOj3YSGxs7jSXjrHhMTk0x29v3U179Nc/MpMjPvCbp2Vms2cXFfp6bmFM3Npzh8+G9IS9tDYeHjQf38AHQ6IwUF91JQcC99fW00Nl6gs7OK9vZyQkNjSE3dRVra7kWHdMPDYykpeZQtWx6ht7dlmgxepb29AqMxlMTEEjIz98/IFxRFkZs3r9DaepaBgUY8HgUmUwp5eZ8mI2MLen3I9HYeRkbaKS9v4sKFY0RGvk9xcTobN24gOzv7jpAPmeTNbmc3u3uJjECVcDkWNOstIDhfCHgl4d+7uIW7BHCNEEwBXCiPbqUK2sdBAFcjf+5OEcDbFaQsdsy1wMDAAG++eZiKihFCQ3eTnJy9YIXvQqrf1NQwZWX/xMhID2q1CY3GwQcffHe62MNIeHgOGzY8jMVi4YMP/ha73Y3JtJlHHvkrv7daefm/MjnpwuWqZGoqmqKiPyUra8ccc9xAchP4EOrru4rD4SIpqdg/39kIpqDd7kWnr+8aHo9EfHzuitY7EAqFir17v82RI9/k7Nlf8sADf+W/hm/evIZC4SU+fuOy5zz7AR5MIQx8yKWn76Gm5lf09TUSG5uLMMuTUBS9XLr0Omq1yJYtn5vR+SVY2FgQBAoL99HRUU519SH27/96QFHJrZ/ytjIZLCjYy+BgO1VVrxMRkYrFElydUyrVbNp0H1lZpVy5cozm5vO0t18gK+s+f4ea+RATk0JMTApu9xNcv15BW9tHVFW9w7VrbxEdnUNm5j5iYvIW/QIcF5dBXFwGXu/TtLVdpbX1I3/nkfBwK2ZzIg6HjYGBRtxuL1ptNFbrQTIySoiMnGuVo1CoiIhIJyIiHY/HyeDgdY4da+LDDw8RH69n69Y8CgoKSElJWZV2m4vFQirharSzW08K4HwYHx/HZDL9Tsx1PeMuAbxDWIjo3K7IY6XjrxTBxl5q/tzHBTn8NDk5Cay81/BqrrMkSXz00Uc899zb3LxpIiXlcQyGiNuqfr4UgQkmJvqZmOhlbKyHiYlebt68RF9fEzpd9LTiocTl0pGQcJC4uGzi47PQaHSUlf0z58+/DUSQlvYE+/d/zv8wuXr1ZZqaPkSrjSE29h62bfs0BsPcsNds5SiQ2LS1nUaliiImJgOn0zkn7AksWvULRHd3BUplCLGx6Stf/AAYDBFs3/5Vzpz5EeXlh9i589OAz/7FYklEpbrVXUUURZRK5bK7wcy3bvLaZWSU0tj4IVVVb7JvXxpyZbLsS9jQcJHx8Wa2bfu8v/J6vuIS+fcajY7c3Aeorn6emzersVo3Br2+ZDIok/nS0j/ggw96OXPmX7j//u+i14cxn0m1wRDGrl2fZHh4F1VVx7l27SjNzR+SlXUfmZn7590PQK3Wkpu7g9zcHYyM9NLUVE5X1xW6u3+CwWAiOXkbmZkHgvYfDgalUkV6ejGpqYW0tl7kypVX6Oyspbb2PHq9FpMphoKCxyksfAC5E8ztoFJpiY3NJzY2H4djnIGBJl5+uZH33rtCerqF0tJCCgsLiYhYXGWyjNW4l8z3krGcdnbrUQEM9j2z2WyYTHOdB+5iabhLANcQgTfhYMRBFEV//96PswJ1sZBvLCtV0gKxlgqgKIrYbDZ/0rfRaFxTs+ylYHx8nG996zs0Ng4yNOQhNNTK6OgLAcTAiyh68XiceL0uvF43Xq8Lj8eF2+2YPhcCkqRAkhS4XBN4PF6Mxt1s2nSQxMQsoqKSUKlu+VINDbXw6qtfxuvVYjAUsG/fn5Gc7FPTXC4bly79ksrKlxCELA4e/EtSU+c3RJ2NW4qkyMBAHfHxB9HrDX6lKzAfTob8IFos+vvrCA3NnHFMqwVfHtr9NDQcIy4um+joFCYmWkhLu3/GA3Q2OV8pApVcWfXNy7ufqqp/Z3CwhaioDP9nOxyT1NYeJSIihaSk0gU9CQNfGLxeL5mZJbS0nKey8hDx8QUz1j1YGNhHdE3s2PEZTp/+N06e/DH77vka6gk7gkIBlnAExVzibrHEs2/f5+nvb+fq1Q+oqTlMY+NxUlJ2smHDI6jVCyfsh4fHsnXrY4jiI7S3X6Ol5RINDWdpbPyAiIg0MjP3TRd6BL9uHA4bnZ2+nMChoVY8HhG12kJm5jbM5kTGx3vo6amkvv4tOjpOkpy8jYyM/YsmlwA6XSiJiVuwWjczMdFHY2MDV6+WYbGcobAwmc2bC8nLy1t0IcVaVBvPPp+LUQnXy71xNuYjgKGhoetSdPhdwt0q4DWEy+Xykxs5VBoeHj6nyEOv1y8rFy0QNpsNURRXPUkZfCaZk5OTGI3GVZ0zrM28JcnnEi+H6mTVbzWw0qplSZKoq6vj5Zff5f33WxkfV6DTqRGEW9Yjvm4TAgqFCkFQoVRqUKk0qNV6NBo9Wq0RlUqHwRCO09lHff0buFxKcnIepbDw4Jwbud0+wpkzz9DWdhGn00xy8oM8+uiX/IUcTU3HqK09xNjYMIIQwoMP/oDY2JRlHV97+3nOn/8Fe/f+jb8dHMzM9ZPnN7vCMZhSKMPjcXDo0BfJzv4jiooeWtbcbgdRFDl+/DtMTLhISdnL9esv8+CDf49OZw5aiLNWEEUvb731A4xGBwcPfms6/Cty7txrdHeXceDAdzGZogHmrJlM+ORrX1Z4JEmiu7uZs2d/Qn7+XjZseMi/f+DPYGhvr+PiqX8lwaVij6oIhSAgms24tmxBiokmsGuJb5xbY/X3t1NTc4L+/qtoNAqSk7eSl/eIn3AJQ0MIAwMgKJBiopHMc4mYzTZKU1M5HR2XcTp70On0JCdvJyvrPnS6UAYGGrh5s4qBgQbGx/uQJDV6fSxRUXkkJRUQH5/hPz5f32wH3d0NtLZeZni4DkFwTpPL/QuSy4XPmYfh4TYGBuoRhC7i47Vs3ZrHxo2FpKamzru+cjHDnS6YC1QJZaUw8Pu4XtrZORwOf752IF599VV++9vfcvz48Y9lXr8vWL9y0+8Z5Jvwcos8Fjv+WkAed3Jyck2UtNWcd+D6AoSFha2bN1ubzcbhw0c4duwqExOJ7Nr1NfT6EH81rfwQCMz1g5k+j3Kunyi6qKp6kY6OSxiNOeze/TmiomZ2SZiY6OXq1UM0NR3D4RAxGIp57LH/RlxcCgBdXRVcufI8NtsoGk0UWq2dzMwnl03+AFpbT6HVJhAbm+Gf83x5c7NDj8GqZmVi09VVgSQpVzX/bzYUCgW7dv0VR49+g5qad4mIMKPTmWcYUd8JKBRKcnLuo6rq3+nuvkZ8/AaGh/vp7r5MRsZuIiJ853ledVUUUXV1oxocQNBokdJSITycxMQc4uK20th4kuTkEkJCouZtZRd4rCnGaKZcVq6OVXBJ5WIHOSiGhlD29OB8+GG8cXF4PIFkXiaDCqKjk7j33j9hcLCLhoYyWlsruHGjjLjYAgqFNCzd4wjThsiSToeYn4+YO/Mcm0xmiovvp6joIB0d16iqepPq6ne4ePFZFAowGmNRqy2YzelkZ+8lKSl/Vq/gmZBDxOnpxX5y2dl5mQsXfolW+wKJiSVkZx/EZFq8/YtCoSIyMoPIyAycTl+e4aFDDRw5UkVGhoXt24soKCjAHITgfhwIVAllo2o5T1qlUvlFChkLtbNbSywUAr5bBLJy3CWAa4hgpGxsbGxNbFLWggBKkoTT6ZxhR7Pa/lCrdRMJnKtCoUCr1eJ0Oled/C1nnSVJorq6mtdfP0ZdnROLZS+ZmVl+MuR0Ov3b3a7C11dhW0ll5Qs4nQoyMp6muPghf7Wtr8LxI5qbj9HbW4fdbkOpNJOX9zA7d34KlUrFwEATVVXPMzjYhsGQzrZtn6Gm5lcoldkUFz+87LVxuewMDDSSkvIHKBSK2+bNBcuHk49hNrHp6LiESmXBYrEuaD+zUhiNkRQU/BHvvffXhIdvXBWVeznIzt5GU9MJKivfIDY2j4qKd1GrBQoL/2BGyFgOR3s8Hh/JdrvRfngC5c1OECVAgsuXcW/fjrQhn61bH+fIkSY++ugFDhz4qxnXHATvXKK6fp0CwnEpMmhw1KNWQYk6F8FmQ/vhh3g+9Skkg36axEtIkojXKwLi9DhgNsewc+fTOBwPUFt7ls7G0xwdOkqULobC6O3EGBLANoGipgYpMhJp2nvP5bLT21tPf389Q0MtjI/3I4oSGo0ZSYpHFCeRpCn0egVJSWlkZOxekkVQILns6mqkqekiLS0fcf36aSIiksnKOoDVWrKk+4hWa8Jq3UxCQjETE71cvnyKY8d+AUzw+OP3ceDAvWRmZvrP3XoLY8pm1cFUwtm5hHfCqPouAVw73CWAdwButxuHwwGwZJuUxWK1CWCgtYtarcbtdq9JfuJqzDtQ9ZPXVyZVHzcGBwd5553DnDrVhNOZSmrqDvT60Dk9I+Ub7UIVvg7HKJWVv6a3t5GQkFx27foMUVGJiKLIwEATra0n6e6uxOFw4vH41iU0NJft279IUlI+Q0OtVFX9hv7+BrTaBDZt+jLZ2duprHweu93J3r2fXVF+3Y0bp/F6laSnb8Pr9frbzC2mWhYISmxkZXBoqJGwsAL/wwjm2qis9Dslh6m9Xg8mUxyTkyP09zcQE7N2quN8UCiUFBQ8Snn5P3Pp0isMDdWxadNjc+xRAq8PpVKJ5upVlJ0dSHoDqFW+nnaTk6gunMcRE43SbCY39yGqq5+noeEk2dn3BPUklMeWJAlhZATcbrYQgVudTaO3CZdXZLuQhWJ8HKG1FWnDhumQM4ASXyu7W/2V5etbrTZQVHQ/RTYDTfZymsVuPuh+D4vOQpFlGzF2NT21Z+gwTDA4eB2bbQhJUqJUGgkJSSY1tYSYmDRiY1NRq3WIopcbN6ppbi6jquodamvfJTm5lLy8h4N6Es4HQRCwWnOwWnOYmrLR2HiRjo5LXLjwK7Tal0hO3kZ29sFFjyl3wmloOMzgYBuCEEps7C4uXvRSWflbUlND2batkKysLOLj4xc9zzuBQBV4tko4mxDOVglXu53dXQVwbXGXAK4hJElicnJyhhK1VtWyq0UAA61d5J7DgiDM6Gqy2ljuvGdb5wT2Rw4kUKu93ouZr8vl4uzZs7z7bhkdHWpiYu7Hak2eQ4YCE/UDlS15G5/fnIfr14/S0HAEQTCzYcMfk5VVSk/PVZqa3qC/vx6HYwqVKgyzuQBoxOGYIDZ2Pzt3fo6JiU4+/PD79Pc3o1bHkJ//OfLy9qBSqRkYaKa5+RRJSY8SF7eyVkY3bpzGZMokJCQKt9u9ompZGYIgMDU1zNTUKFlZ+Wi12gVtVIJ137gdZoepe3uvEBWVh0Kh4cKFn/HQQ/9z0b50q4mUlEIaGvK5evUo0dFWsrPvm/H32f2SlUolisZGUChBfsEQBDCaUEyMo+3qxhMVRWbmFjo7r1Jd/RaRkRmEhETPWLfZxSWEmRFcbkBgm9aK2qWkwdOIAzt7hC0oBgeDfM+E6ZxWJSAgih7UavU0qRRReUUKQ1LICyukabyTmuErvNn+Mh73JKH2RDSRaYSHp2G17icuLoOIiISgnpIKhdIfzh0c7KSu7gytrVdobT1HbGw++fmPEhGR6t9+Md9dvd7Epk0H2Lhx/7QqeJ7m5os0N58kOjqL7Oz7iYsLbnDu8bi4fv0E16+fYnJyFJ0ugdzcT5KTswONxlcAY7cP09FRR319OaGhp9myJZ2tW7eQk5Mz58XwTmIxayMIc9vZBX4X16KdXbB97voArg7uEsA1xMTEBC6XC4PBgFKpZGJiYk2tWmBlhGc+OxpZcVmrat3lIFChXK51znJwu8+QJIlr167xzjsfcPXqCBpNIZmZRWg0ujk3d1kZCQy5zPbV6+6upLr6N9hsE6jVoURHx9LW9h61tc8hSSo0mggiI7ditRag08GlS7/A7dayYcMXMBoVnD79d4yO9qLVxk8Tv1shMlH0cPHiz9BqU9iy5bE5x7IUTEz0MTJyk+zsfTMIyWrg5s2LgI7ExPygYePAXMLZeYTBiiQCMdvUWRAkhoaasVrvJyOjlBMn/hfl5b9g9+6/WJVjWQoUCgWxsRtoaHiXzHgzyro60OsRk5LwCgIej4fZ/ZIFlwsUCp/y5/UAAqh8JEyYJuVKpZI9e/6II0e6uXTpV9x33zcBZoT3ZqxbRjpUVcKkHUGS2KKOxSAKVInNHPacZxfZGMRb4d7AjiW+n5L/bz7bFQVCXByK3l5cXgcjzht4JRsqIQpJiEZSSkRHx1NU9AcYjeEIgoLFfLUjIxPZs+cz2O2PUld3lo6OC3zwwT9gsSSSm/sIVmvRktY/UBW028doaDhPe3s5p0//BJMplLS0vWRk3ItGY2Bioo/6+iN0dl7G44GwsFxKSj5FaupGZlvNGAwWUlN34fVupa+vmVOnGikre5Xk5BB27NhIcXExkZGRS5rramIp91G50EiuYIeZKqHX6w2qEi62nd18zxybzbbulNPfRdwlgGsIk8mEKIooFIo1JVGwsjyS29nRzFADVhlLVS4DFcqFrHPWSgFcaL7t7e0cOfI+Fy+243AkER9/AL0+LKjqN9vXz+OxMzk5xNhYD2NjPfT11dLS8gGCoEEQjOh0JrzeKYaGhggNTSch4T6s1hwiIhIRBKisfJ7m5lOo1QnExsZx/fpLOBxOTKZ0ioo+QVZW6RwFpbLyN9hsdvbs+SoazfJzOyVJor7+PSTJSEbGthX5LAZDV1clBkMiISFzPdYCSd3ssLH8M1jXklvrPrM4paPjPB6PSErKJqKiksjOfoz6+t/Q2nqWtLTdq3ZMi4EoinS2X8SChsFr53E2qTAo9Qihobj370cVHz+nQlO0WlHU1iLYbCB68RNAtQYp9lbLOIMhlJKST1NW9q9UV79BSckfzkum3WYzmqJiNBcvgMsJCiV5ulhCleGcdzZwvOttNndaSE4umRNG9uFWSFmeqzclkatVr9PYWo0kmEnXF1EUYkWIi6ci1MGNjrMcPfo90tL2kpv7CCqVZrq4RA75z6w2DoTBEMqWLQ+zadN9NDWVc/36GcrK/g2TyUJW1kGSkrYv+VwYDGEUFz/Ipk0HaWur4fr181RXH6ay8jd4PC7UahNqdQSxsTvJzd0T1Fh6NuTCkdjYHJzOcbq76/j1rz/inXcuUFSUQmnpZnJycu6YNdhq3d/nUwmX085uoRDwWjhe/GfDXQK4hlCpVP6Hz1qSqEAslfC4XC4mJyeRJGne1mhrTQDlsW837+WYT98Jl6Pe3l5++MO/p7m5j8FBL4KgQ68fo7e3HqVSEfBAdU/7+fn+iaLP18/jcU2HMgVEUcLpHMfjEfF4krFYcsjO3khEhJWoqGR/1bAv2V5ieLiD8+d/zMhIL4KgRBQ76e4eJTp6E6Wle4mLywz6lu0L/Z4kMfEhEhKyl33s8hv+zZvlREUVERoavpKlnANRFBkZaSEh4YFF7yM/VGQEIzWzw1TyNm1t59BqY4iJSQOgsPAAvb31XLnyAtHRuZhMi1BmnE6Erm5QCEjx8bDMYq+mpktMdVexR8yhQtFOudDEXt1WhNEx9CdO4P3MZ2TJ7daxxsRAZRWIok8JRASnF5RKpOjoGdsmJeXR3b2PlpYjREamkZq6dV4y7S0twaXRoKqqArcblEriDWYO5u7hTH8F5eXP09NZzba4e1C7vYhhoYgxMYjc6oDk+ynR2VlBdfXrOBRO4uPuoUSdiEljQkxOQszMpESnI3fDXq5ceY/r189z8+YlCgqeIimpZEa1s0wE5Yrj2fcClUpDXt5ucnN3cuNGNfX1J6moeJna2rfJybmfrKz9C3YqCQaFQonVmsnkZBujozXY7QrsdgWhoV4sFgPJyVlYLItVpm4po3q9mZSUHYjiVoaGWjl58hrnzr1KamooO3ZsoqioCItl8TmNK8Fa5Kcvp53dQmkcd0PAq4O7BPAO406EgBcDURSZnJz0myTLYer1CEnymU87nc5Fm0+vZUWa/EAbGhri9OnTnDhxlepqBaOjsWi1KkDC4ZBQKCTAp8JIkgKFwoBC4evvq9NpUau1aDR61Go9kiTS1VXG+HgHRmMymZkHKCw8iEYzt9+oUqnE43Fw5sz/S0vLWbxeNXp9OGFh6SQkbCY9vRSTyTwjTBq4Hh6Pi4sXf4JOl0pp6RPLWofA4oOBgVqczimKinYua6yF0Nd3DbfbS0JC8JyrxSAwFCwXp8AtknNLnfDQ21tDbOw+/zkWBIGdOz/L0aP/D+fP/4QDB/52wbCVcO0aynPnYGoKEMBgwHvPPUjZWfPuEwyi6KW+9jAWh0SWLpUJyUC98zJ94hCxxiiEsTGE9nakjIwZ+yk6OkCn9X22ywUKAbQ6kER/sUYgSksfZXS0m8uXf4vZHE94+EwroRkP75ItiNlZ0NODJIEnJhq1wcC9YgG1Fw/TUvkW7330Ptt0RcTp4hDj4nDs2A56PWq1itHRbioqfsPgYBcmUxa77/kEMTGpCIArQMkV8FXn7tnzGfr7d1FR8SaXL79AS8tJSko+R1iY1V9x7FN6Abz+EHMgMfSFoxWkpRWRllZEe3sd9fUnqKp6m4aGI2Rk3EtOzv3z9i4OxOBgCw0NR+jpqUUU1Vgsmygt3UFcXAZNTeXcuHGeCxd+iV7/Eunp95KdfWBR4844fwolUVGZREVlYrcP095+jYaGC0RGnqO0NJvS0s2kp6evibXVnbQEXkw7O3k+Tqdz+j4zwODgIBs2bFizIpDR0VG++c1v8sYbbzA1NUVpaSnPPPMMRUW3Tx94/fXXefnll7l8+TJ9fX0kJibyyCOP8L3vfY+wsLBVn+tq4K4R9Boi8M1GkiRGRkYwGo1r0kTc4/EwPj5+224isl3K1NQU4LN2WUzIbnh4eE1sYFwuFzabDbPZHPSmJhtmy2agi7XlWOx6LBU2m42BgQGqqqo5ebKK3l4NFstmLJYswBf6CMz1W8jaRZIkbLZhrl59lc7OywiCicTE3Wza9BAGw9w2R6OjnXR2Xqaz8zLd3dX/P3vvHRbXdef/v6YxMzD0XgRIFIFADSQkEEW92JIt95JN7MSOnbaJd514s7/vN991NmWTbJLdTbE3ZR0nsZPYkbstWbIaIECAEAIBkhBNILpEGWAYptz7+2O4wzAMMDTFyer9PH6QYe65554595z3+ZT3B71+FJ0uiaSkPJKTtxAUtGySpWs6oeVz516iubmSvLzn5pX44bhAq1QqCgt/yM2bfdxzz/ddBuovBGVlv6ClpYp77/2PBWUoOxJWV6LOoijS2lpKUdHPyMp6dlK5OblcTnNzJRUVvyQ1dTdr1tzn8h6ytjYUb70FVgE0GkAEoxGUKiwPPQhOFriZUFtbSPX5X7PzZhRhHmFYlAreGypFRi8HvHejNBixbt+OuGb1pOsUv/kNMqMR0Uk4V6bXI6SlIWyZStKNxhEOH/4xcnk/e/d+HY3GfdeaKIqIFgvKd9+lp/saxeYWDGIXyz2WsZEESFnN0Lokqqvfor29FpUqlFWr9pGYuGlSG44/gSnvSn19GXV1hzGbe4iJ2cj69Q/h4eE10Yfx5BLJMi7B0UIol0vJViJ9fe3U1p6gt7cKlQri47exatUdUwibxWKiqamAxsZ8Bgd78fAIIjJyI8nJW/DxmWwNFkWRtrY6rlwppK+vFoVCYNmydFJS7nKpKSiKAmazZVaBcavVzI0bDdy4UYNWe5PExEC2bEln3bp1eHl5ufM1uQWz2czY2NjHpsSarbb5KAqFAlEU+cUvfsG//Mu/4OnpybJly0hPT+fRRx9l8+bNcy7B5wqCIJCTk0N1dTXPPfccgYGBvPDCC7S1tVFRUUG802HLGcHBwURGRnLw4EGio6Oprq7mv//7v1mxYgXnz59f9L1zMXCbAC4hpCw9CUtFosD2sgwODk7KhHVNLELZAAAgAElEQVT1mfmKUPf399uTLRYTZrOZoaEhfH19p7gIHEvOeXl5zclCuRQEsLOzkxMnTlJYWEt/v46AgDSCg5OxWsVJcWSOz+AIx0V+aKiX6uo/09pajkzmTVTUFtat24tO52+/tr+/ma6uGnp7L9Pf34LROIrFAmNjepTKQBIS7iIzc/+036Gj61P62dlZTXHxz4iJOUhGxj1zyph1RaLM5hHeeuuLxMTczebND8xrXGfCe+99GY0mgV27vjjvNpyzZafLRiws/CE9PR3cc8937TGCjmS6uPgPdHefZuvWrxEUFD8lY1Z+5AjyS5fBy5OJ+DSbDIuwPg1h21a3+muxmHn33X/FyxP2dcYi0w+CTkeXaZCTI/kkKILIUKZgve9em4vZAYo33kDW0Yno42AdEURkQ0NYc3MR1611ec/e3uucPv1zvLwU7N793Jy09GTXr6M4ehRR541FDuX9V2kyXEFpHcVP6UtvkBbk/ixfnktq6jY0Gk/7YcTRc+FKhsZ+D5kMs3mMCxc+4tq1fJRKM6mpdxMfv83F/JfmvY0U2tqc/AmlUoFMJufmzXYuXvyInp4LKJUCcXG5rFq1H6NRz+XLR2hrq8BiAR+feFasyCQ+Ph2FYvb1pK+vk7q6fDo7KxDFIUJCEklOvpPQ0CT7Z6R4uLlUmBka6ubixTcJDoa8vBU8/vjjbl3nDkwmEyaT6WNDAKU9QKPRoFQqMRgMnD9/ntLSUl555RX6+/vp6+sDIDExkaysLL7+9a+zcuX8Qlpef/11Hn74YQ4dOsS999o8Izdu3CAxMZF9+/bx6quvznh9QUEBubm5k373+9//nscee4xf/epXPPHEE/Pq11Litgv4FmKxtfqc2wbXZvyZ5FLm0v6tOCuIomiP9QPsZdzm6tJdrLhFURRpamqiqOgsxcVX6O1V4++fTXLyaqxWEatVmJPVb2DgOtXVh2hvrwK8WbZsHykpeZhM/bS1FdPf38LgYBvDw71YLAIymQeenpEEBGxGr7/M0FA7oaEbycp6jMDAyFnHwDFjdmxsiPPnX8LLK4n09AMuK284/pyUXDANibp69SNEUUVSUq7LPiwEw8O9DA/3smLF/DKUnQnrTPNIECx0d9cQFrZ9EiF2dKNv2fIIH3zQQmnpf7Nr17+iUKgnfU7dP+AiL2HcDTk46Ha/6+oKMRqvs2nTM1gjBFSn82F4hHAPT2JkcVwdqyI2Io2A8PCpz5GSiqKzC9mIAVGrsZE/wwiizgsxPs7F3WwIDo5i8+bHKCr6Ffn5P2fbtq+472YcG0MUBES5HBkiq31iGTDraRhrot10jWBhNXfu/2e8vPxmlO5xnHuuCKFS6cGGDXcSH7+Riop3OH/+DRob80lP/yQhIY6WbNm46xqcNQlt9waLxQpY8fUNISfn7+jv38XFi8epqTk2XhHECy+vaCIitpCcnONWUocjAgLCyc5+GKPxAJcuFdHSUsTp0/+Br28IiYm7iY2dsMS6s7SJosjNm010d5cRE6MgI2MF+/btmVOf3MGtUFJwF45zBGzequzsbLZs2cKLL75IYWEhGo2GkpISSkpKKC4uXtD9Dh06RFhYmJ38AQQFBfHggw/yyiuv2MOlpoMz+QM4ePAgAJcvX15Q35YKtwngLcRfggAuplzKUieBOMclLkbJufn22WKxUFtbS35+CVVV7QwPBxASspPk5BhEEcxmq73iyHRWP4lEmUwG2trKqap6ncHBbkRRjYeHBm9vFb29BXz44RFsG5UStToInS6K2NhMgoKiCQ+PZ3T0BmfO/Izh4RFWrDjIhg13zcsdevbsLzCbPcjL+wwajdY+PpKFS5JvkCBtzNLfXZGo5ubT+Pml4ucXOuV+C0Vr6xlAQ0zMujlf60hYlUrlrPVMr18vw2y2Ehe3weXfZTIZarWWLVs+zenTP+T8+ZfJzv7y5LHz90fW2YkoiJM2dRkiYuDsAfy28IxRrlz5iMDAGMLDVyGLkGGVyZGfr0A2NEyGZxxd8jGK1FfZZzVPsdSJKxMRhvTIL1ywZQLL5Ih+fgjbtsEslp1ly5JIS3uYiorfc+bML8nOfsqt90/w90emUmEeGaba0k3DSD2iaCBNE4Wg3Uirso/Tp79HZuZThIQk2t9JVxVfnKV7XFkJAwLC2LnzKZqbq7h48X1OnvwhUVHrSEt7GK3WF0cZGukbkI1rEgqCiExmmxOShdBsHqO7u4rh4drxe8cBY8hko+h0Mnx85p98odF4sX79btau3UFjYwVXrhRQXv4HLl58kxUrcomL24GHx/Tvsi106BqdnWX4+vazd28i27Y9SFTU3AipO/i4OgOnywL29fUlMjKSFStW8IlPfGLB96msrCQtLW3K7zdu3Mgvf/lL6uvrSUlJmVObXV1dAH9RWZ+ZcJsALiFcZdPeiixg6aeUODGTXIq7WMqkCrC5H6TqHYtRJm++/dXr9bz44ovU1TVy44aV/n4BP78YdDotnZ01tLWdHxdstm0ktoxeExaLEbPZOP5zDKvVhNlsk3YxGAYZHjag0QSh1Xqj1fri5RWMRhOETheEt3cwAQERBAZGotFMxPQIgkBt7TtcuvQ+SmUkublPzztjt6HhJB0ddaSmPkZg4MTm4Zyh55wx65idB9i15+RyOT09lxga6mfDhk/Oq0+zob39HN7eK+xucXcgkVhXtYdnQnNzAWp1mD37dzqEhi4nOfleamtf4erVEyQm7pwITUhbj6yxAdmoAdFDDYjIxkyIGg1jiSvBbJ5Cahz7bTabqanJx2zuIj39nyesj6tTsaasgpER5Go1m262kZ//H5SX/47MzCcnd1AmQ9i4EWHVKmTdPaBS2tzEboZPJCZuxGw2Ul39GiUlL5GZ+ZkZx89qtWLSarnuJ6e2oZAxWT8R6kg2qDaj8/BFyMlhhU7B2bN/4OTJHxEXl016+iPI5UqXFV+mk+5xJoUA8fFpxMSkUFV1gsbGE3R3f4OkpH0kJu4evwam0yQEGRaLgbq6wzQ3n2FszIqfXzKbN2cTHb2KgYEeLl48zpUrRTQ2FrBiRS6pqXehUs3vAC2XK0hIyCA+fiMdHVepqztNXd0JLl8+SmxsJikpB6ZUGRkYaKOjoxSd7iY7dixnx46DxMTEzPnec8HH0QLoDIvFgsFgWPTEis7OTrZu3Trl9+HjlvaOjo45E8Dvf//7KJVK7r///sXo4qLjNgG8hbgVFkCYf+LEbO0vRd8li5nRaJxzXOJMmIsLWBRFrl+/Tnl5OadOXaCgoA6zWYYo2ipz9PdXIQgXHFy6cpRKj/HAcpX9P4VCjVzug0KhQq+/jNE4gCCo0GpXExubRmpqBgEBYajVnuM6ZtNjeLiHoqKf0dfXRXj4VrKyHrJXEpgr9PpOKitfJTAwg5SU7TN+1tkiK2l6ORJDyVpTU/MWSmUI0dFrp7hrFgqLxUR//zWWL3c/S9lZ1Hk2q5/jvXp66oiK2uPW3EtN3UZ3dz0XLrxGcHAC/v7jm3JoKNZ9dyAvKLDF7QFicBDm3FwI8HfpcpckaGzaaGO0tOQTGppIUJCTu1Yuh/Gsx/DwOBIS7uTq1TeIjCwnOnrj1E56eSGuWD71924gJSUHi8VMXd0bwMtkZj4+ZVykPvf2tlNZ+QF6w1X8wwLIJZtg0RvR1xchNRVx+XLCZLB//1cpL/+AhoZTdHVdZPPmpwkOnnjGmaR7nOed49jZ3MJ3kJiYQXn529TUHKGlpYj09L8jJGTlJBeyrV1bfeGqqvdpbi7GalUREpJGaup2goOj7Z8LDo5i27bH6O/fQ1XVUerri8a1IPNIStqLh4fnlBALdyCTyYiMTCQyMpEbN9qpqTlNc3MlLS0lhIWlkJp6FwqFB+3tZ9Fqu8nJiWHnzjtYsWLFkpOzj5sFcLo1ZWhoCIVCMWMsvZTs6A6kdoxGo8sETenvUuKku/jDH/7ASy+9xD/90z8RFzd9+MVfErcJ4C3ErbAASinzKpXKLbkUd7HYfZdeUIPBANheMk/PW1tuy2ZxqaGkpJwLF64zMOCFv/9mDh58wp4NaHMlmhAEEZVKiSiC1WpBo9GMxxVNxPqNjvZRW/su166VIIoyQkI2kZCQS3T0qjnFMV65cozq6j8jkwWSkfEF4uLS5/2MgmChsPDHyOVhZGc/Nutm5Y7r1GZd7qe39xLR0fciirZ5N1sc4Vxw/XopVquc6GjXSQvO/ZmP1U/CtWuFWCwQF+eCSLmAXC4nJ+dTHD7cQX7+j7njju/g4WFzr4pxK7DGxsDNm7bgrsBAG1lx6Ksr1yfApUuFmM3drFv3pH1OTYf16/fQ01NPWdnv8fePwdvb/Qxjd7B27XZEUeDSpbcRxf8hK+sJ+5jagvNHuHDhI9razqJWK8jY9EmWL9+CHLBaLLZSdA79Vyo9yMy8h9jYNZSW/pETJ75PQkIe69c/5FKLzxW5mmnstFpftm79NG1tm6iqeo+Cgp8QGbmatLRPoNX6IggiJpOBmpr3aWkpxGr1ICxsC2vW7MTPLxhXotIymYyAgHC2bXucvr7dVFUd4+rVQpqbC4mP305Cwi67C955zrsz7/39w8jKegCL5QC1tQU0N5+mo+PbxMVFsWNHGrt2fYKEhIRbapX7OFkAp8Pw8DA6nW7Gdzw/P5/t22c+7Eq4fPkyiYmJaLVal6TRaDQCzCkBsrCwkCeeeIK9e/fyne98x+3rbjVuE8AlhCsXsHNm6GJAFEV7uR2r1TrvxAl37rMYcMxGVqvVdjf1YmImC2BfXx8VFRUUFp6nqWkYQVhGaOidREXFOIyZiNlsGXd5yuyxfjb5ExAEEcmddPNmI7W179DVVYdMpiM0NJvExBwCAiJQqZTI5Qq3Ar0Nhj5KSl6gp+caQUEb2bLlE3h6Lkztvrz8JfT6IbKzn52xrbmQKFvyxxHAi9Wrt6NWq11aamAijnCuhLC1tRi1Oozg4JldXpLrVBCEedcebmkpwNMzmpCQWLev0Wi8yMn5LKdO/ZCCgv9g+/b/MzFeCsW0ki+SpctxLVAoFIyNjdLcfIqQkCS8vMLt9cOdCbUEiYR++OG/k5//E/bu/X9zytx1ib4+5NXVyNrbQa1hfWIi8uR7qL30FgUFL5KT8xSiKKO19TKVle9iNncTF7eFtLSHJ8unzBC+ER4ex/79z1FW9h5Xr56mvb2azMynJlkDp4M74Qrh4YmEhHyF2tp8mppO0tn5f0lK2oNC4UFd3QeYzRAensm6dXvw9g4CxEnvsmu3MQQERLBt2+PcuLGL6uoPuXTpBM3Np0lI2D1eo1lmfwek6xxJ7HRz0vZ7Kz4+Stati0Or1fPII/eRk5Nzy8nYX5MFUKpRPx2Sk5N5+eWX3bpPWFgYYHP1dnR0TPl7Z2cngNul56qqqrjrrrtYs2YNhw4dWhLNxsXCbRmYJYbJZLJPZIn0LGbsgiOZkslkqFSqJUnjHx4eRhCEBZXfcc5G9vLyQqlULpk+oqPsjiiKNDY2UlpaRknJFXp7FXh6JhMevnY8cHwCgiDYvzeVSippZIsfsrnqLMhk0NFRwZUrR+jvb8fDI4zo6CwSE7NQq3XjMimuyYggWDCZRjCbjZhMBiyWURobC2hsPIUoehEenkpEROJ45RALgmBBEMwIghVBsCKK1vHNRiJazq+wbeMZHOygvb2KgIBVLFu2GoVCiULhgUKhRqlUo1Jp8fDwQqn0RC7Xolb74OUVMKsshSAIvP325/D13cCOHZ+f8nfnjdnRDeccz+V6fATeeuszhIbuJDv70Wn74aizKVkr5wqjUc8773yB+Ph7SU/fP+fr6+tLqaj4FfHxm9m48fFZP+9ItB31CEtL36a5+V327fsm3t5hLsfOedxkMhkdHVcpLPwZUVEryM7+wpz7b8eNGyjeex/Z8BAoVbYyciIIKxO5GK6m+uIhAgKC0WiiaW8vw9vbn82bn3CLuE2H9varlJX9ibGx9nFr4INzrszhCGe3sV5/kzNnfkNbWxGiOEZo6Aby8j5PcPCy8fGbIBkSCZyIoZ5oV/qsIzHs7W2lqupDbt6sRqPxIClpHwkJO+xJU479cGzHcf4bDAO0tpYhl7ewapU/u3fnsWbNmr8YYTAYDMjl8o+NXp3JZMJsNk/ROiwtLeXLX/4ytbW1i0qSH3zwQQoLC+no6JjU7lNPPcUf//hH+vr6ZlXPaGxsJDs7Gz8/P86cObMo+oRLidsWwFuIxXSjOpMpnU5nN1UvBRba99mykZcqw9hoNFJdXU1BQSl1dT2MjAQQFJRLcvJKFArnl3my1c9WhUPAaBzGYjFgMo1hMPRz9epx2trKsFpF5HJv/P1jCAmJwWTq4MKF348TtzEsFiNWqwWr1ZYUYvu3TZbE9uyycXdaH3r9EDpdCDqdgt7eenp7r45vFKpxC6JNt8z2U4FtM1I4bEwOTyGKmEwj9PZeRC6PQCZT0dZWM04gbWXoZDJpw5OIpC1zVSYDDw8NKpUnarU3Wm0AXl7BeHuH4+u7DH//WNrazjI2ZiY5ece04+4soeJOPJd0XXd3NSaTZdrsX1d6hPPdCJqaTiIISuLjN83+YRdITNzEwEAHDQ3v4OUVxKpV05PI6WIUh4Zu0tJyiujodHx9bVYGx7GTrnWVMRscHMvKlfu5dOnPVFe/y5o1d83rOeTnK5ENDyH6+k64bsdMyBsaWJW0H0P8HZw9+zJyeRHp6Y+QkfHJBZE1gMjIBO688znKy9+jvj6fjo5qsrKeIjBw5kSc6eA478bGRrhy5V1GRhrx91+NIMgwm3upqTnE+vWP4unpPz7vJJFouf2xJd1A27sBNiuh7aftPhAUFMWOHZ+lu7uZ6uoPuXDhba5cOUpKyl0sX549Y4KLyTRKe/t5TKZLxMV5sm/fbjZs2LCgefy3iOn2hKGhIXQ63aKP1f3338+hQ4d48803ue8+m9j7jRs3+POf/8yBAwcmkb/W1lYMBgNJSRO6jl1dXezevRulUsnRo0c/9uQPbhPAW4rFIoDTkamxsbElTTKZT9uiKDI6OorRaJw2G3kpYiP7+/t57bXXeOONDxkehpERm7tNo/Ghubli/H6CfaEXBOu4tU0AbDVLHU/wtpjFYQwGPUajiI9PMGq1J0qlAr2+m5GRPuRyNQqFBqVSjUKhRan0R6PRolJ5oFJpxq1ualQqDQqFit7eaq5dO4OnZzSpqXtIStqISuWBUqlGqfRALlfMmiziChaLiSNH/g+hoevZs+fr6HTOFk4Rs9mIwTDM2JhhvBaxEaPRwNjYMEbjMKOjgxiNegYG+unqasZqNWAra2elr68FlSqU69dPYTS2Exa2Dk/P6TN15xLPJZPJaGg4iUIRQHh4wpRYOHdFnd1FS0shvr5J+PpOrdTgLjZsuBuDoZ+qqrfw9AwgNjZr0t+lZzWbzS7d6+fPf4BcbiAtbaq1U3q2mQhFUlIO/f2d1NR8gKdnELGxGbO6Hp06iLytFdHDY7IonYcKcXSUpovFNOorCAjwQxRD6O29jMEwiE638A3Ow0PNli33Exu7lrKyP/HRR99fsDWwre08paUvYzLJWLHiAOnp+1AolFRXn6K+/ijHj3+TxMSdJCXdgSjK7Zb0icOINHYKu5VQivd1FJkGkeDgGHbufJqOjgYuXvyQ8vI/cenSB6Sm3kN0dIb9O1AoFFitZjo7qxkcvEBsrIJt23JJS0tDrVbbRZil71mqhXsrCeFscae3GtP1RyKAi43777+fzZs38+lPf5q6ujp7JRBRFPnmN7856bOf+tSnKCgomBTStXfvXpqbm3nuuecoKCiY9PmwsDB27ty56H1eKG4TwCWGI7lZKNGZjUwtVYyh1PZc+y4JOguCgFarRaPRLPkC097eTklJCQUFNTQ2jjI4mIpW64Wn54R7cCK+R44U/C2KoFDY6vQqFCrkciVKpQcWyxhtbfkMDraiVAYQEbGFpKRcwsIikcttJE2pVI/HXMqRylFNjgeSXJ82S8Po6CClpS/S3d1AcHAGmZmP4OOzeKfFkpIXGRkxkpPz9BTyZ4tfFBBFOZ6evvj6BrqRGCJiNA7R39/FtWtn0evfwscnkWvXqmhsPAOY0Gp98PePIzR0NdHRm/H0nPl5XMVzSUSwp+cigYGZWCxWLBbrJHHg6fQI54PBwXYGBztZs2bfgtqRy+VkZ3+S48eHKS39H+RylT0zd7YYxe7uFjo7S0hK2uZ2CTZXGbO5uY9y7Ngg5869gkbja88idrSwzlTxRVQokZnME8EE44SnytRBzfUK/KPj2Lr1eQYGbnLmzK85duxb5OU9Q2Bg7NwHzAWcrYHt7VVkZj5JcLD7pQotFiNnz75Ea2slOl0ieXmPEBw8Udt43bqdxMdvoKzsbS5dOklr61nS0v6OiIg14++tdBiZeG+ld3aCFI4PjwMJFEWRiIh4wsO/RGtrLbW1xzh79rfU1b3PmjX3Ehm5nt7eenp6SgkPt3D33RvJzs4e1yK0rY1SDVwp/ESCXC6fRAg/zvFktwrDw8MLCkWaDnK5nMOHD/O1r32Nn/zkJ/ZawL/73e9ISJg8D13FM1dXVyOTyfjBD34wpe2tW7d+LAng7RjAJYa0+IMtU3JkZAR/f/85b17ukKnh4WGsVuuSFJ6WiKe//+yabI4ahO6UcRsYGLBLwMwHomir1lFQUERpaQN9fV4EBq7Hzy9u3OLmOm5jcqyfahKZHhsborr6EE1NZxAEDeHhm1m7djd+fiEOLkhhxlg/aZOwES4bMWxuLuDixdcQBG9SUu4iOTln3BU4r0efgrq696mqeoeUlEdZs2ayi3aCjIgOZGRu7Z88+V0GBgwcPPgtQMbgYA9dXY309DTR39/A6GgnYMLbO5jQ0DXExGwhKCjJ7Y2ru/siJ09+j82bv0pMzOpJVkIJzqRmvkTw3Ln/obGxjLvv/t4k/cX5wmQycuLEC+j1VWRlfZ6IiPUzxigKgsCHH/4nJlMT+/f/+4KTOIxGA0eP/idmcyvbtz+Lr2/UpFhCmL7ii7y4GHnFeUSdFyhsgsnl/ZdosFwiau02snY+Y7fI9ff3kJ//S0ym62RlfZaoqPUL6rczOjoaKCv7E0ZjG3FxOaxf/9CsY9PTc4Wiov9mdFQgPn4P6el7ZizZ1t5eT0XFW4yMNBIamkhGxqfs9XpdvbcSJojg9G5jQRBoaamitvYjRkZa0Om8WLs2nq1bV7Nz53a7KLDRaEQUxSnZpY7WcYkYOn5/zoRwsQ7Vw8PDeHh4LFiDdbEgya44j88LL7zAxYsXeeWVV/4S3fqbguL5559//i/dib9lOC6+EuGYiyVMqo4hFcX29vae1vohkc2lqjVsNptn7bvJZGJ4eBiLxYKnp6dbun5SxuNcFx4pseONN97mtdfyqasT8fXNITZ2Gz4+4dhU/2UuyafZbMY8LsyrVqvtn7FYjFy48GdKSl7k5s0eIiJyycl5kpUrN6PReGG1CnYSJSWIzJThJ5fLUCjkjI0NUVz8UxoaCvD1XUNu7lOEhSXYF/mJgH/HoPO5obOzhrKy3xAensvGjffY+2Wz+lkxmWx1qT08VOO1UOfW/sBAG1VVb5CQcBfh4TZ5Cq1WR3BwNLGxa0lK2kZMTCZabSSjoxY6O6tpbDxOY+MRBgbaUKt1eHnN7Gq9ePHPDA8b2LTpE8jlCnvShJTgJH1Pjpuj4wYpYbb3SxAEysp+QUDAOhISNs9tIKaBQqEkJmY97e2tNDS8j4eHDwEBMdNmVF++XMy1ax+xYcOjBAbOT7PPEUqliqioVJqaamlpOUVMzAa0Wm87+XSMK3QcO0EQEAIDkXf3IOvvg1Ej5UONNFgvEZ+YS8a+ryKXT7xDWq0X0dFpdHS0cvXqERQKD4KD4xfcfwne3gHEx29mZESgubmIlpYC/Pyi0emmVlMQBIELF/5MWdkrKJUR5OQ8xcqVGyf11xV8fAJJSMhEJvOhtbWaq1ePYDKNEByciEKhtL+3NrKlRKGQj1v4pbknzT8bSYQJcq1QKPDy8kapNOPjM8aKFRqeffZpMjM3o1arJ409MEVqybEdpVKJh4fHpJhRKZbUlpBmtn+H0rXzJYSOLuiPA6TERueQoVOnTmG1Wtm/f+5JW7cxGbddwEsM5xcb3BcnlgSdwb2auEsRS+fY9kyQCnebTCaUSuWiahA6Q7L4HT9+irKyawwPhxARcSfR0TFT+uk8HtNZ/QRB4OrVE9TUvMnYmEB4eDbr19+Jr2+QvR1Hq5+Hh/tyIy0txVRU/Bar1Yu1az9FcnIOcrnMwWIw4f6cGo8kBarPJhzdS3Hxz/HyWkl29qP22EGb1c8y7oKUo1Sq5m1tvHjxEApFEKtW5Uz7GR+fIFJS8khJycNiMdHaWktr6wWuX6+hpaUIT09foqI2kZCwBx+fybIKgiDQ1XWB4OBNyOUK+4HGWY/Q2W08WzkxV5tiR0cFRuMo6emLQ/4kKJUe5OZ+loKCl6isfBWr1UBKyoEpnzMYhqipeZfg4GiWL9/ioqX5QafzZ/v2L3D8+H9y/Pj32bnzn9HpAl263CdJqKhUWPbuQdnSwsXafOr7rhO38g7St33R5dzz9NSxe/cXKCz8AxcuvI1e38HGjbPrTLoLm27gvcTGrqe09I+cOvVjli/PJD39EbvkjMHQR0HBz7h5s5PIyG1kZd2Hh4f7h1+5XMHq1duIi0vn3Ln3uHLlDNeulbJ+/UPExEwkBU24ggEU9njAye+uzdIrila6ui4yPHyBVau8OXDgCdatW2cnbo6SNVI4g2QldrbOTu6rJHytHL+POOkQJB1oHT8rfd/ukMLpJFf+kpgpBnApXMD/G3GbAN5CuEsArVYrBoMBs9k8p+oYt4IAOr+U8yGqrtp2t9/t7e0cO3aC4uIG9PogIiMPEBMT7db9zGazXX7DsTpKb289ZWW/ZnCwD3//NWRn301IyERVAKtVwGKxLVdizKAAACAASURBVK5z0fUzmQyUlv6S69er8fNbTVbW39kJpe25Z9pYpMQUR0I44X5ytBJaLEZOnfoBoujP1q1PoVR62K1+kmSNzXo2/815eLiH9vaLxMXd63ZFEqXSgxUr1rNixXosFjPXrl2kpaWchoYi6uuP4ucXRWxsLnFxO/Hw8KS7+yJGo5Ho6DRMJpPLhAlHTBdHKP10LifmuLk2NHyEWh1KVNSqeY+JIxzlXVQqNbt3f5EzZ16luvodhoe72bhxckm1srI3EMUbbNr0lUW5vyP8/ELYtu2LnDr1M44f/x67d//zlDJjEimQ3gFBEJCpVFxVDHHJepmolFxSN3yGsTHTlBhWae4plR7k5T1GZWUo9fXvodd3kpf3FTw8Fu5OlxAevpz9+5/j/PkjNDUdp7Ozhk2bHkcQBIqLf4XV6snGjU+QkLBh3uTF09OH3NxP0NWVyblzb1Nc/Bvq60+wceNj+PlFTvm87b2VAQp7hT1RhP7+Ntra8gkJGWH//nQyMzPRaDSMjIzYrXkS4TObzSiVStRq9aR566ih6Zw85Th/piP0jtZFZ2L5l0oumS+mI4AjIyMf29q6f224HQO4xJDkKsBG7AYHB/H29nYZl2bLNB2z6zF5enrOyS1qNBoxGAwEBMy/ePl0kFy7vr6+k9xwIyMjmM1mVCoVXl5e87IADA0NAeA9XurKFdrb23n//Q8oL2+ip0dNRETmuFyE3CFTduLecrncLoujVCrHrX6Cg66fLWbr3Lnf0d5+AQ+PKNauvYvly9eOxzrZFkl3Yv1cobu7jpKSFxkbg6Sku1m9evu8MnonrDSuE0tEEQoLf0Rvbye5uV8mIiLBhdVv7uLIzigq+jnt7Y3s3/8tPD2n/57cgdE4QmPjOVpayhgcvIpSaSU4OBmjUc/goIG77vq38WzohfV7Oj1Ck2mYDz74MrGxB8jIOLjgDXG6RA9BEKisPMzVq+8SGBhKXt6zeHjoaGmppqTkZ6Sm7mH16oPzvu9s6O1t4/Tpn6NSjbJz53P2GDdX/VYqlXR1NVJU9EuCgyPZuvWr488wXSycfNKBpLGxgvPn/4haLZKX94xL4rRQ9PS0cvbsn+jpKcNiGSUsLI/c3Mfx9w9dNEIjCAJXrpRQW3sYi6WXFSsyWbfuQTw8po9PNpuNNDcXIZc3sGXLCg4cuIOQkJApZMxxq1UoFHYPhDT/JDeuFNLgrCMIOBDw2UvQuXL1O7bjmHEsxW1rNJoF1YxfTIyMjNhJsiOefPJJsrKy+MpXFv/w9L8NH49v+m8Y7rqAHaVd1Go1np6ec17UprPSLQZmsvrpdLolCxw2mUwUFRXx/PM/pq9PwGKxjd3Vq2WzXjs1+N2mvQdgNo/S39+OTKZFpwsA2jl37kXKy23kSiILMpl8/NSsGI8NUo7/tMm1qNVeeHjo0FqUeHUO4D1gol3spkHWgTZ0Ldu3f5rg4Kh5P//ESd/2/xNZvDZSU1Hxe7q6Glmz5jGCgmLHY4JsC/1CrX4ShodvcP16BTExBxZM/sBWRUNyE/f3d3H1agltbeW0tp7CyyuSixdfISlpP76+CyMRzhul9J1evXoaUfQgPn6z3W3mymXszjvkaGlxtlbK5XLS0/fj5xdORcXvOHz4/yMj4ykqKl7Dzy+QlJT5afa5i+DgZWzd+kXy81/ko4++x44dX8PHJ8zeb0dZmv7+LkpKfou3tze5uc/Yn0OhkNnnkGOSgyCIWCw2WSCA6OjVeHkFUFz8Mh999F0yMh4jJiZjUZ/Hzy8QrdaKIHgC3lit7QwPtxIQELZo95DL5SQnb2H58vVUVh6hqamAtrYKVq++h/j4rVNIV29vA11dhSQmenDw4D2sX7/ePm+UyonD5tjYGEaj0R7TZrVa7QdUR2uedI2jZdb5AOMqIcoVIZTu5cptLFnIHec/YPeQLCSWcLEw3T62VFnA/xtx2wK4xHDcIERRnFL1wlnaxdPTc1a18ekgWen8/PwWXS7AYrGg1+vtgtMWi2VO7umZ4KrKiCiKXLlyhbff/pCqqn5kspUolf7IZKI96NpmkRDsn3e8VlrgnF0lFouRuro3MBj6kcmiSU7eire3DxP6XoJdsBkkMmgd/50Zi8U0/p8Rs9mIxTKCZegGpvZGrGYDenGQEaz4yTwJ8Q/HLyWTwKA4wsJW4+sbuajfS339cSoq/sjy5QdIT78LW5WQib9Pl7E4V9isfw3j1r9FWHj7+5HduAmengjhYVisVpqbi8atTxmMjDQhCHoCAqKJj9/D8uU589aEc4X33vsKKlUke/c+M8VC6BxMP10coaMYtTsl6Hp72ygq+jVdXWdRq9Xcc89/LomVzBX6+7s4efLnwE3y8p7B1zdyUr9HR4c5evS/kMkG2L37eTw9/dxqVwpZcDyQjIzoKSl5lYGBGhIT81i37kEUCuWkkIX5oK/vGvn5/4XRKGPt2gcIDY3l7NnX0OsvER6exObNT7otozMX3LzZwblzb9PXdxFf30A2bPgkISGJmEwGmpsLUKtb2bkzlTvu2OfSgyGKNsF+k8mESqWaJIDvGDbguE8AkwihYwKPc5URV9VGpnMbu+qbcx8c4egydlUTfCkhiiIjIyOo1VNVHA4cOMCXvvQl7r///lvWn79V3CaASwxJABYmCKBUnmyxdfJcuWkXCxIBBOblnp4JziXyBgcH+eCDw5w4cYnR0ShiY7ei1bq7KYn2zDhpLKWs6O7uOoqLf47RCCtX7mft2t2TFkjn0mLuugblhw8zfOUCx4QiRgQVER6r8EFg0DzIYIQXRtkQYEKtVuPnF0tExGqioja6zGp0F52d1eTn/xfBwZnk5X1m3G0k9Xuy6056wycIjfsiwUND3Rw+/M/ExBxg8+b75t1fAMxm5CdPIq+vB4sF5HKsgYGM7dxJQc2vGRoycffd38RkGuXq1TKam4sYGWlGrfYgNjaXVavuQqNxbx5Mh97eyxw//i3S0p5m5cqpCSDObmNnt5k0X6R5Mhcx6itXjnHixM/w8FCQkrKdTZs+s6jEdiYMDvZy8uSLmExtZGZ+lsjI1cjlcqxWC8eOvcDISAM7d34df/+Zay/PBhsxNlNW9i4tLccJDAxn8+YvoNXqcNTUs8WxutdmU1MJ5eW/Q6EIIzv7M4SGxiCT2Q6AtbWnuXTpMAqFgTVr7iMhYfuC+j99Hy5QVfUuY2PXCQtLxt9fx6pVnjzwwJ2sWrXK5fcvxXJL6/tslT4cD67ObmPJmucYSzid21hqS4I7bmOr1cro6Kh9rXRMMHFsx5EQLqUm4UwEMC8vj3/7t39jz549S3b//y24TQCXGI4EEGwVKqTAX3d18tyF2WxmaGho0Qmg1Wq1awxKtYYX8zQoEUAfHx/Ky8t5883jNDXJCA/PIyjIfXkJya0Fto1ZWhRVKhU1NW9SW/s+Gs0Ktmx5fJJArKM1Z86lxaxW+n/xPU6NnAZFMLm6TYR6+AIiMv0QwpYshpMT6eysp7OzgZs36zEY2oExvL0DCAtbTUzMFgIDV7i9oPb3t3H8+LfRahPYseOLyGTKaWMUpyaWONeWdZ1YIqGg4Md0d3dw4MC3FqyVJy8sRH7uHChViCoVotWCfGyMsQBvDmmLWbHiHjZuvHvSNZ2dDVy6dJqenvPI5UYiI9NZvfrBKRnE7uLMmR/R2dnKPfd8F6Vydkv7TIRwcqb2zCTQYOjn8OGvoVPGEaIMpL6nAN+wMPK2PjslQWOxIVl59Po+Cgr+h7GxRjZt+hTR0RkUFPyBrq4isrO/sOh6flevnqOy8k8olWYyMz9LYGD8FE29yaRw8vhZrTaJl8uXj+Pnt5atWx/Hy2uqlU+vv8nZs69z82YVQUFRbN78Wby9Qxf1WQDGxgwUFPwKk+kKDzywjc9+9slpK1KYzeZJsdzzXY8lIiatT46EzJEQOlroHBNKpPk7nZXQ8UBjNBqneHTc0SR0JISLGYvpKiZRFEU2bNjAb3/7WzIzMxflXv+bcZsALjGcLYADAwP22AatVjspG3WhkKx0rsqtzQeS+0KqNywIwpLE+xkMBrq7uzlx4jQFBU3IZCnExm5BqVTPfjGTrX5ScLVMJsNsNjM6qqes7L/p6WkiMjKPzMwHUakm2p2v1U9Cd2cNha/+Ix5iCDsDtuCt0EqdQjY0hDUvF3Ht2knXDA3dpLW1ho6OOvr7r2C16tFqvQgLW83y5dkEB6+clgwaDAMcO/YNrFZ/tm//Mlqt75wyk6XxkiyEzoklExuynIGBVo4de56EhAdIT1+g5pbJhPKll2DMhKhRIwIyZMgEKxdHLlAVMMree3+En1+Iy8uHhm5SU3OKtrYzCMIAYWGrWbv2kTlZrEwmA++88zRRUXvJzHxgTt13lO6QNltnF5xzPJaj2/jUie9y49JF7jSl4iMouYaeEtll5OFe5Ox6bk4VL+YC5wQVQTBz6tRLDAxU4usbx8BAE2vX3jVjDeOF4ObNTs6ceRmjsYXVqw+QnHzHFLfxZAu1bNwyaaaw8AW6uq4SHb2DrKz7ZiRRgiBy9WoZFy++iyjeJClpDykpdy+alWp4uIempmOsWGHl/vv3kJaW5nKdmMnluxiYyW0sycQ4WglhsttYOsA4HmSkds1mM1qtdlay6kwIHdtyJIQLcRvPRACTkpI4duwYqamp82r7NiZwmwAuMaSECceMWblcjo+Pz6Kb0GfLMp4LnOsNazQaBgYGJsUvLgZEUaSkpITXXz9CR4eOZct24ue3bPYLx+Fs9XNcvHp7mygo+BFjYzLWrn2I5OQtk+Jv5m31G0dnZzWFhf+FVu/NnuEotN5+oFACIrKREVAqsTz8MMxQmcViMXHtWg3XrlVx40YNVusAWq0XERFrSUjYMYngWCxGjh17nqEhCzk5XyIoKGpRCsg7J5ZIVprTp7/D0JCJO+/8f2g0ngsLDNfrUbz8MsgVoFKCTGZLxxHh3YE3kEdlsPcT3561GaNxhNra0zQ3n8Zi6SUsLIV16z7p1pypq3ubqqp32Lv3m/j7u5c4IG2cUsKE5PJ19Znp4givXy+n9MMfsHY4jjWaZaBSgdXKwOgAJ+UNjEbAhozHiIubXl9xPnA+3Exk71t5//3v0dBwjGXLVnLffS8sqTvPZBqjuPg1OjuLCQ2NJzv7abtUjG33mZzpPjo6yJkz/4VeP0RKyr2kpOS67TY2GIYpK3uLzs4SvL192bTpSYKD4+bdd1EU6eysZmDgLNnZy3jggXumlSCR1nhJjH8xyhW60z9nK6Hj/HPlNpb66vifozaqo4XQ3WxjZ0Io0Yr5aBLChEvamZCKokhUVBQ1NTVER0fP0MJtuIPbBHCJIQgCQ0NDGAwG++RXKpVLUsxaEAQGBgYWZKVzTkrx8vJCqVROiV9cDAwPD/POO+/y4Yc1mM0rSUragULhXr+ns/pJaGk5S2npL1Eowti06XGCgmwEwfFUDHOL4XJEd3ct+fk/xtMzkZ1Zn8brxGlkXV0wvqHh4YE1OwcxNcXtNi0WM62ttTQ3n+PmzRqs1kF0uiBiYjKIi9tBSckL9PZ2sWnT54iOXrWoJeQcIYpw/XoFhYU/IzX1MRITs+x/c9wU3B03QRCwGI1oXnkFmcGAzKHkX+9oJ0dHT5Oe9zUSMu90u48mk5Ha2tM0NBzHar1BVFQ669Z9corUiSPee+/vUamWsXfvM27dYzp5F3eukzZFk8nIkcP/iLbFyH5ZKjKtFulLkwkCptERTkSbuSk0kJS0kzVrHlgwGZvtcNPTc4VTp36I1RoK3CA0dBk5OV+ZUepkMVBXV0RNzZt4eAhkZT1NSEiiU7+hr6+V06d/jMWiJiPjMSIjE6e4jd1JbGptraWi4g3Gxq6zfPlm0tMftQtIuwuLxURDwwl0ujYOHsxix44d03pWFsvluxiYyW3s6DKWspElNQe1Wm339MzkNgb3k0vslWaEqdVSZnIbSwTQ2SVttVoJCAigr68PP7+FxQPfxm0CuOQwmUzcvHkTtVqNVqtleHgYmUw2o+bdfOEqy3gumC0ppb+/H41GM6U243zQ2NjIq6++RW2tkZCQbXh7R7nd7kxWP1EUqal5m4sX38bXdw1bt34WrVY36ZTqvLC5G8clobe3nlOnfoBWG8euXX9vi40zm5E1NSPr6QEPD4T4OAgMnOOoTMBkMtLUVElLyzn6+y+j1zdisVhISXmA7Own3Ipfmy8EQeCDD76GKAaxf//XsZXAcp15ONP4ObqrZDIZ6qpqlEVFIJeBygOsVvINBXRplNz9hd+iVM390GIyjVJVdYzm5pOI4hBxcVtZs+aRKWSms7Oa06e/T0bGl4iLS5+13emsZ3PF+fOvUH/pFLu6owlR+oATgZCNjjKWk0OJqZm2to+IjEwmO/uL804OkayVoihOiQ0DW8WYo0efR6mMZN++Z2hpqaGy8o9otQq2bXt2SWLnHHHzZjtnzvyO0dFmVq3aQ2rq3eN6liLXr9dQUvIiCkUoeXlPERRky5KekJ+ZPbEJHAXSTZw7d5jm5pNoNDLS0z9JdPQGt/o5MnKTpqYjJCSIPPro3SQnJ7v8nKPLV6lUzku+a6nhSMYkUui8BqrV6lumSehYtUdqx7m+8XQxiXq9nmXLljE2NrZgL9dt3CaAtwQGg8G+gQwNDSGK4pLoGM3XSieJgM6WlLIYBNBqtXL06FHef7+U/v4I4uN3o1BoMJlMs7Y7m9XPYrFQVvY/tLScJTw8j+zsR1EqVZOy62AiTsXZdQez68HdvNnMqVPfRaWKYdeuLy+KLt5MEASB8vLfU1X1ASpVGBrNKGq1kqioDaxcuW/BWnmuUFf3PlVV75Kd/SzLlk3d+KSxctYog8lxcNLf7NYzUUReVo78wgUYM2LEzFvyUyxb+yk25z68oD4bDHrOn3+f69fPoFJZWbXqICtX7rdvHidPfpv+/gHuuedbzFQndjFCAyQMD/fwwQf/RET4VrbWG5Hp9eAwx0WLBZnZjPGuu7BERVFXV8Dly2/g5xfI1q3PotF4u+0yc8dVbbEYOXLk/zE2pmDXrn+0V6Xp7GyiuPh/gAGysj5PeLj7Vuv5wGIxUVLyBtevFxAYGEZW1ufp7LzEuXOv4OWVwPbtT6PTTR82MXNi09SqJTdutFFa+jpDQ1cIC1vJpk2fnjHxpqennt7e02RlRfDoow9MK6wvxalJYTK3wuW7GLC52Uftmn/S72AisUM6PDgnlzhrEro6TM/Vbex8MJfmvGSIcDxYdnR0sHHjRgYGBpY0bOF/C24TwFuAsbEx+79dad4tJuZK0iRBZ0EQ8PT0nDEpZWBgwK79N1+Ul5fzxz9+QGenBVFUIpOpsVpVWCxyPDy8USo1KJUaVCrNpH/L5WpAiUqlQa2eGhdiNo9RUPAjenpaSEw8yPr1e+0kT3LjzbShO2d6uiI0w8PdnDjxbRSKEHbufAadbulcENKJuaEhn/Pnf8+yZTvZsuURuroauXq1hO7u8wiCHn//ZcTHb180rTyjcZD3338Of/8N7Njx9Jz662r8YCIOyE6qTSYYGKT62ofUNZVwxx3fxsdncUo79fd3cu7cm9y4cR6dzo/09E/j4xPF++8/Q0LCfTMms8xmPZsrTp/+d3p727nzzufxqm9EcfKk7Q8qFQgCWCyIERFYH3oIcVzWpKWlmvLyl1GrreTk/CM6XcjU8ZuS6T27q1oQBE6d+j69vd3k5X2J8PDJcXFDQ/2cPv1rRkausnbtQZKT9837ud1FQ8N5zp9/jZGRZkQRIiLy2L79M26XGnSElNjkHMcKNrcxyLh8+QyXLx9BJhsiJeVOkpLucMp4FWhpKUEQLnLgQBr79++f1sokuXxlMhmenp4fm+oZs8FZmkYKFXKM4XPWBHQmhNMllyzEbezYB+mw7tjWT3/6UwRBIC4uju9+97s0NTUtKtkeGBjgueee46233mJ0dJSMjAx+9KMfsX793DPjd+3axYkTJ/jiF7/IT3/600Xr41Lgr2PW/pVDyhh0/vdfEtLpVXJdeHt7z+rmWoy+r1mzBm9vb7syvtFoZGhoiMHBwXGSZUSv1zM0ZGB4eJSxMQuDg2ZMJgGrVY4oygE1oEEUtYiiBpVKS0PDSQYHB4iP301y8mYEwYwoKifptc30fM6C0c4uz6GhXk6d+g6C4Ete3lNoNDoEQVhYYsQ0kIhId3ctFy68SlDQBrZseRi5XE5ERAIREQmYTA9w5Uopzc0llJW9yoULrxETk0lS0p0L0hc8d+63CIKWjRvnpvknLfTSmEluHWfrK4xvBP5+NBSdJTBw7aKRPwB//3B27foira21VFa+SX7+D5HJBKxWNcnJuS6vcXZVz1R/2F309Fymq6uGpKSH8fTUIa5di2C12mRwRkdBLkdcuRLrtq0gtyXEKBQy4uLW4e39DxQW/oLTp7/Hli1fIjAwfsr4OW6s7szxc+d+R0/PNdLSHp9C/gC8vf3Zt+8rFBT8gQsX3qavr4XMzM8umU6hKIpER6fS01NNZWUDcjl4eUlkbe6wvb8ypHKQrtzGiYlZREauoqLiHS5ceJ+mpmI2b36CoKA4LJYx6uuPEhTUw6OP7icjI2PWLN+Pq8t3OphMJruig06nmzRXpAOGRHid3cZSkoj0WedYwpncxq7mrisroaMsjUwmw2QyodFoEASB5uZmjhw5Yt8n0tPTycrKYsuWLWRlZREd7V49eFcQBIE777yT6upqnnvuOQIDA3nhhRfYunUrFRUVxMe7L0X25ptvcvbsWfszfNxx2wJ4C+D48kika6kCWGez0klZyVLgryTo7M5k1ev19sVjMeFKv1AUbTqJAwMD9kVLykweHh5mZGSEoaEh9PohOjtvUFxcRmBgBGq1DqNRYHTUgsWiRi73RaXyR6v1Q6v1x9MzAK3W322JGQCTaZijR/8Fo1FGXt6X8fMLnSR9MJuFxl04EpGhoS7y87+LWh3Lnj3PzGgV6exs4MqVM3R1nQeGCQ5OJDn5TiIi1k57jSt0d9dy6tQPSUh4kPR09xMyYLL1zFVijWNihCAINDScpLLydbKyvkpkZMKcE0vc65OVixdPkJ//bTw8/MjIeIA1ax5EqZyINZxvosdsOHLknzEaFRw48H8nW4fMFtAPgkZjYzzTQK+/yalTv2BsrJGNGx8jNjZr2jhMYFL8FEzefC5fPkZl5Z+JiztARsaBGfstCCLV1ce5fPldfHx8yc19Bp1u/rGsrmC1ClgsZior/0RTUzHR0Tvw8vKnvv4warWczMzPEhqatKj3dHYbt7TUUFX1NiZTO8uWpePlpSEpSc7jjz9AfHy8yznw1+ryXQxpGun9dZSfcddtLK1rc3Ebm0wmzGYzXg7viNVq5dChQ/zgBz9gy5YtFBcXU19fD0BGRgalpaXzGp/XX3+dhx9+mEOHDnHvvfcCcOPGDRITE9m3bx+vvvqqW+0YjUaSk5N58skn+cY3vsGXvvQlfvKTn8yrT7cKty2AtwC30gI4U/uOUjQqlQovL685WzqWou+O0izO/dTpdISEhNj76biYSNdK15vNZvr7++nt7UWv12M0GhkZGeHGjX6uX2/ixg09fX0iBoOAIOiQyfzRaoPR6ULw9g5DrfaesjBaLCZOnvweo6MWcnL+npCQZfZ+OBIa51Ousx7cbHDUmTObRygq+jFyeQjbtn1uVpdYeHg84eHxGAz3cfnyGVpaisnP/y90On8SEnYSH79jEulxfX8LZWW/RquNY+3a3bP2V4JzzNx0m6Lzqb+p6SN8fZNYtmzlpHgg6bNzTcxxBblcgVptJTAwjuDgTdTXF9LaWsz69X9HTEzWpESP2SzEc0FzcyEDA11s3Pi5qa5BldKt5CAfn0D27HmG06dforT0ZYaHe1m9+qA9rMFkMo0/40S8pfP4yWQyurpquHDhz4SGbmbDhtm1/uRyGevW7SIgIIrS0t9x9OjzZGU9RXj46rkPhBNEEXv92QsXXuHatQri4/ezYcMB5HIZkZFJlJS8wqlTPyYhIZf16x9eNAukTCatMzaCkpCwntjYVRQV/ZGurlJycuJ48skvExAQgF6vnyKybLFYGB0dBbArI/w1YLFIq/T+OqpLOBNCqbYxTC1l5+hqdj7IOLqbHeP/nCGVSg0PD+c3v/kNAL29vZSUlDA0NDTnZ5Jw6NAhwsLC7OQPICgoiAcffJBXXnnFvl/Ohh/84AcAPPvss3zjG9+Yd39uJf46ZvHfECSCJoquC10vVvuOcLb6zVcm5lZoWo2NjbnspyPhksbOsT+SlpVarWb58uVoNJop5FbKyL5x4wa9vb10dfXQ1NRMd3cVbW0CJpMWuTwUb+8IfH2j8PIKoqDgRwwM9JOZ+fQk15kzoXHunzNJdTdTVi6HM2d+jNmsZOvWp9Dp/N0eP09Pb9LS9rFu3W6am6uory+gsvItamreJjY2i1WrDkwb/F5V9TojI6Pk5DzkdobxfGPm2trKGRrqY+PGRycVqpfadBSahZkFlmfr39WrR/H3T2X37qfp6WmhvPzPFBf/isuXP2T9+sfx81scLcWJe1qoqnodH58kVqxIW1BbGo0nu3d/nqKiP1FTcwS9vpOMjCftZQ6dXdXO8Vh9fa0UFb2Ap2cCmzc/hCBYAanqy8z3jo5Oxs/vqxQUvER+/k9ZtWovqakH5+0alyytFouVysrf0dp6gcTEg6SnT8QahoREc+edX6W8/H3q60/S0VFDVtbnCAyMndc9Z0NfXxOhoWPcd98BHnnkQXx8fCbFwI2NjU2K35ayZf9akg8sFot9LV0K0iolGzm6jaWDrKTU4HhQcSSFjpZ2xyQQ53ffZDJNeueHhoYmKWgEBwdz1113Leg5KisrSUub+q5u3LiRX/7yl9TX15OSMnNiVGtrK9///vf5zW9+s2gyabcCtwngLcZSkyhnAmi1Wu2l1iTX8HwXsOlOZguFNCbSSdW5MtTatgAAIABJREFUn44Lg/R5R6uh2Wy2nz49PT2nPa15eHgQHh5OeHj4pN8PDQ3R2dlJe3s7LS1tXL5cwY0bxVRWdtPd3U1sbB5hYbGzPoMrQuhqUXMkMtLCJ7nwCgt/zOCgLRvTsVzdXCCXK4iLSyMuLo3e3lZqa0/R0FBOY2M+4eGppKTcQ2Dgcvvn+/vbqK8/TmTkbiIjV87a/kJj5mpr38LTc8UkgiR9n67iMB1JtfRZV9nazujoqGR4eICMjE8CEBISy549/8ClS2e4dOl9Tp78V1asyCUtbe4acdPh8uXDjI4ayMi4a97xbI6QyxVs2fIo1dUh1NW9gV7/bXJz/wFPT98pz+wYx2o0DlFS8jNUqjDy8j6DUumBxWIFrOPtzlyGDWxWyL17/4GzZw9RW/sRvb1Xycn5kl3E2V3YyIAtqL+y8mVaWy+SnHwf69btmvJZpdKDzMx7WbYshbKyP3H8+L+xcuUu1qy5d9GIlyiKtLaWY7Gc56GHMrjjjjvsc04iJ1K/pYQJyfIqxS07x8EtZujCQiEdpCVVBymTdqnhHEcNTCKEjvJdMLmUnUQIHUmrZK2U1gGAS5cuodfr7d/JYqCzs5OtW7dO+b20T3R0dMxKAJ999lnS0tJ48MEHF6VPtwq3CeAtgOPC4EhclsoCKG2YkjVNittbaAm3pXBfO7qzBEGY1uonvfDOVj9JzkClUrm0+rkDb29vvL29SUy0CdNarVba29s5e/YsV6400tenp6XlZSyWIHS65QQFJeDlNbMbz5GUuCI0zpnGABUVv6ezs541az5JdPTiSHEEB0ezdetjDA/fTV1dAdeuFdHe/q8EBcWwatXdhIevHScKEWzadM+s7Tm6queTKdvZWUV/fwfr139u1u/KVWLOXNzudXVvo9VGs3z5uv+fvfMObOo+1/9Hw7K8bYyNB2aYaWyDwQbMMDOMAEmaRQgrJGlo0jRpRrPTNm3T8btt7+1N09w2bTrTLLhJ07CHsVme2IAB4z0wHnhvWdb4/SGOfCRLlmTLK9fPPxnW+Oro6Jzn+77v8zwmpHXWrKVMnx5HdvYhiopOUVGRzrx5DzF16soB3VTU6g5ycw8wfvwCQkKcGe2mJyJiJUqlD5cufcSJEz9m1arv4eNjOQ9Zp9OQlPQr1Go5q1c/gY+P4VwV5uAEUYROpzXblIjzYQ1+enK5nOXLt3H9+hQuX97HoUNvsmzZt+2KrhNavoaKJWRl/V1E/u7o87kTJ84iMPBlUlO/IDf3FJWVF1my5Fv4+fVvU9RzbLQUFSXj7l7I7t0bWLZsmcXz1xAj2bvla05ohMeIz1VnKMj7C/E10dXV1alRo/2BMBYiQPw7NK+yCvcXc2W1cK388MMP+dOf/sTDDz9s9TMJ9z17IFTqVCqVRd9c4e/Cd2wNp06d4vPPPyc9Pd2u9x1JGCOAQwzzebfBeH2dTkdLSwtarRZXV1enKtWcuW5xdRJ6BCnC+4irfmLy50jVrz+QyWRMmjTJGDXU2dlJUVEReXl5ZGVdpbIyE5XKF2/vGQQEzMbNzbpnmRgCORGqfkIVQafTkZ9/nIKCU0yZspnp0xcZWx8DFZYI8PT0ZdGiu4mJWU9eXipFRcmcPv1burtb0WhgzZof9jlr6Cyl7KVLn+HmNoWZMxc5/Ny+2u7mXmLNzWXU1ZURFfUIgFHoIZ5JWrp0K7NmLSU9fT/p6f+goOAECxc+hr9//6LDcnL2090tJS5uYC0pAXp9jyG1VCph5syFjBs3gbNn/8Tx4z9h6dInLQp9zp//PU1N9cTH7yUgYKLx/wtzcAYfRPNNiTCPpTE+VuynN2tWPAEBYZw581cSE39FVJQh19faOaDT6UWiIDnp6X+lrOwiERH32SR/AhQKN1as2E5Z2VwyMz/j+PG3mT17Q79b0Vqtmvz8IwQG1rJnz/3MnTu312NsVc8cITTmhHCwq3Di6pmzr4nOgkQiMamyCsdPpVIZNyN6vZ6WlhbuuOMO5syZw6JFi7h48SJnz57lxIkTxMfHW3395ORk1qxZY9darl+/zsyZM3Fzc7NIGoX7S1+WahqNhmeffZbdu3cTG2vbYH6kYYwADjEGkwAKQ7lCtcwZmcBiOJNEmlcn29rajH8biqqfI3BzcyMqKoqoqCjuuUdDcXEx165dIz09hxs30unuDsLfP4KAgJlWo+yEzyQ26hUqWzU1V8jJ2U9Q0DJjFc5ahWughFChUBIdvYrIyBVcvPgVKSkfIJO5cvHi+3R0rGfmzI29BCPOUsrevJl9u/r3LfoyY7YXfbXdr179Ark8gPDwuF6CCeGxEokEf/+JbNjwLEVFmVy+/C+OH/8JYWFxxMbuQqm0j9gDdHQ0UFx8itDQ1fj5Bdt+gg30HHM9crkMmUyORAKBgZNZv/57JCW9z+nT7zJ37r3MmbPJ+LycnH9x48ZlIiMfYsoU28KNnsqV8L6mudACIQTw8gpk/frnSEv7Xy5fPkhNzTWWLv02SmWPK4Dh+YaWr7BRuHDhH5SWZjJz5j0W2762MHlyFBMmTCM9/X+5evUkFRVZLFnyhElOti10d3eSl3eA8PBOHn98J+Hh4b0e0x/BhCVCY2sOztltY6GLIsR3DmTMZ6ghtNW1Wq3Rl1CnM0Sarl27ltTUVA4cOGBUBL/55pssW7aMZcuWER8f38tPNyIigr/+9a92vXdQkCEPPDg4mMrKyl5/r6qqAiAkxHKlHeDvf/87+fn5vP/++5SWlpr8raWlhbKyMgIDA52SnjUYGLOBGQKI1YZarZbm5mankzPBIkXYRfn5+Tm99C9kBPv52S9MMIe46idUJwFjgomLi4tds35ubm7DvsNVq9Xk5eVx8WIOmZmF1NaCQjGD4OC5eHoGGh/XF4FqarrB8eM/xs1tJhs3PtvLosS8bSygP0pjMTQaNYcPv4pG482CBQ+Ql3ea+vrLKBRSwsNXEhl5DwqFp9Mi0XQ6HUeOvEp3txd33fXmoN6gWlurOXjwFaZOvZd58zaYKGXNhTnif3Z3d3Hp0jGKi48jlXYSEbGZOXPuskuJeu7cu9y8mcemTW/1mWJhDwSbFOjJqjaHRqPm7NmPqKo6y6RJ81iyZC8VFdmcP/8HQkNXk5CwfUBrEKC3EsNWUJB+O9e3m/j4vYSERAESNJputFodMpkUudyFS5c+Izc3kWnTtti0oLEHZWVXyMzch0ZTxcyZa5g3736b349K1UpBwb+JjJTxzW9u7zUDDKYtX2cbO4sJob32KfZCrzdkt3d3d6NQKHrFd45kmFcsxcdcr9eTkpLCrl272Lp1K/feey9paWmcO3eO8+fPU19fzxNPPMH7778/4HVs3bqVM2fOUFlZaXLs9u7dy8cff0xDQ4PVe82PfvQjfvSjH/X5+v/6178GLFQZLIwRwCGA+CYq7G6cMZMHPRcAYfcnl8tRq9UDImnWoFKp6OjosBqNZGud4qqfh4eHiXqssbHRqCgzb5cMR9XPUTQ3N3Pp0iXOncuioKCRzs7xBATMZdy4aQi8zZxAqVTNHDnyfXQ6b9avf9Fmsog5IRR7aonJjD2EMCXlD5SVXWblyucJDjYYndbWVpCTc5xbty4glaoJC1vMrFl34ek5fsBK2eLi06Sl/ZVFi55h2rSBqWNt4dy533LjRj533mkgY+apMeLjZ4lUt7U1kpX1L2pq0vHwcGf+/J2EhS20+n5NTTc4cuRNwsPvZtGie/q9bvHMnMGUt+9Ka49n3xe4u7vS0dGIt3c069c/PWg2JeI5woaGKs6f/wcdHYVMn76SqKgHble5pMhkcq5dO0hOzldMnrye+Pj7nSKKAUP+c1ral9y8eQZ3d3eWLHnC6kxiR0cDRUVfERvryWOP7cDfzIJnOAQT5vYp1lI3bFXaraV6jHTYqljqdDref/99fvKTn/C73/2u18yfXq8nPz8fmUzmkEmzNQg+gPv27eP++w0G+HV1dcyYMYM777yTjz76yPjY8vJyOjo6mD3b4FOZl5dHXl5er8937733snnzZp544gkWLVpkrDaONIwRwCGAmAAKZMfDw8Pi4Kkj6O7upr293XgBUCqVRpLVH5JmC11dXbS3tztcXbRU9RNX9gTfP+EYmQ//d3V1IZFIRkTVzxYM1iMFpKVlcP78derqFHh5RREWtgBXVw/R4zQcPfpD2to6WbXquX4pfi0pje2xnikvz+Dcud8zY8a9Fr3hGhqquXTpONXV6UgkHYSGLmDevK14e/evtanTafj3v5/HxWUyd9754qDdYA2zQ7c4dOglwsI2sWzZVpvnaV9V1urqIi5f/hdtbQUEBk4lNnaPxbZjYuLPaGho4O67+56j7AvimbkeEYF9zy0uvsChQ98H1Nx110+YPNk6WXU2NJpuUlI+p7z8FD4+41iy5Ck8PAIoKkri4sV9hISsYvnybbc/j237GUdw82Y+GRmfolKVM3VqPLGxpmrutrZblJR8xdKlAezZs6NXu1Dc8h1OwYQwBycmhOKNnTkhNFSru42baXd3d6d5WA42bFUsOzo6eO6550hNTWX//v3ExMQM+pp0Oh3Lly/nypUrvPTSS8YkkIqKCjIyMpgxo2dzsWrVKk6fPm3TDUMqlY4ZQY/BAEsXlYHwbr1eT0dHh3HXKo5xG2yVsSMwr/qJ297mN16hFSzeGYsHc6VSqbGVMlwKO3sglUoJDw8nODiY5cuXcvXqVc6dy6G4OAe5fAahobEolb6cPftbmpsbWbLkyX7bvdijNDa3nlGpmkhL+xM+PpEsWGCa9ypUoNzd/Vi27CHU6ru4ejWJ8vKz3Lz5GhMmzGbu3AcdFklcu/YVnZ0qFi++d9DInzBfmZOzD4nEi/nzN9p1jvQlLAkJmcGECS+Qn59CXt4hjhz5AWFhccyfv8tow1JTc42amjyionb2M8O2Z4PYI66x/9w2xGQdZdy4cBQKf1JS/kh7e63JXOBgwXCcYOHCbxASMpPs7H0kJv6U0NBYysvTCAyMZ8mSrWi1OrRaQcwlrlIPjBCGhs5kwoRXuHDhMCUliVRVXSEubhcTJ86nubmSGzcOsnp1GLt2PdwrGWmwPfIcgXiO0NXV1Xj+mUexCY8FjNZRo2neT1yxtCRSKS0tZfv27YSEhJCenj4oRQxLkEqlHDp0iJdeeol33nnHmAX897//3YT8gek19+uAsQrgEEC4OQlobGxEqVT2azBUMHQWfkTmu1a1Wk1bWxu+vr5OvzA48tr2VP36mvUT5nGEKqm4igqmHlIjhRCKd7fidlJnZyfZ2dkkJaWRl9dIVZWKysp8oqK2Ex29atDXJCaDJ0/+hNZWFXfc8T28vceLbD/0Rq828wqUStXBtWunKSk5jVpdw/jxU4iMvJeQENu7c5WqhQMHXmTcuMWsWfPEoHy+niSCZo4efYWJEzeybNlDTnt9w0amg+zsI5SWJiKXq5gxYyOzZ28mMfEndHXJuOuuN5DLFQ4RGsO5rjGbDXVsfRcvfkJubiILFjzK1KkxnD37ETU1KYSGzmHp0r1O8zc0h/iaJpe7IJNJaWtr5uTJ31FcfAxf38k89NBvcXf3tjpHCPb5EdqD2tobpKV9QmtrPkFBs/D3d2Pjxpls377NpNMyXB55A4Ww+VWpVL2KB460jYcLfVUs9Xo9J0+e5PHHH+fJJ5/krbfeGjUVzdEO2VtvvfXWcC/i6w7zWaOuri5kMplD7UyhTdrZ2YlMJsPLy8uiSk2ciOHsC5s9ry2ougRVr6enp7HMb0nhK25PCrN+QmalMCcol8tRKBS4uroaL3TCDai7u5uurq5ew9VDfREUi3CEdrxwjFxcXAgLC2PJkoVMm+ZPQUEaMpk7SqUncrkHSmVvU19nQahuyWQyLl/+lMrKXBYtepSgoPDb5EmoNBiOnaH1LiiNDa8hl7sQHDydmTMTkEr9qa4upqjoGOXl55HJFPj6Wg9iT0//E01NTaxY8SRKpWMGwrYgbBa0Wi0ymYwrVz6mqamJhIRv9rsVaw7hXHJxURAWNodJkxbR1NRGaWky169/QXNzNTExu/D1DUan06LT6W+TGwmCl54l9BAo/e1z3P6Wr4CbN7PJyvqYsLC1LFiwAZlMzuTJMUgk3hQXn6e09DRBQZEolV62X8xOGCqWGrq7DdY0Yjug1tZKCgsPo1TOxsXFhdLSk3h7B+PtHWRyHspkggpWnATRcx7q9cK1su9jKIaHhw/Tp8fT3q6iru4Sq1dP5amnvmUyFye0fLu7u3F1dR015A8w8Rz08PDAzc3NeC0UZgqFa6EgOBO6QMNJCAXCrVKpkMvlveJHdTod//Vf/8Wrr77KBx98wFNPPTVqvpOvA8YI4BBBPOjb1dXVy0/KGoSB2ba2NnQ6HR4eHn2W/QeTAAo/ZmuvrdFoaGtrQ61Wo1Qq8fT0tNiaBMu+fu3t7ej1etzd3S2q2YSbiJgQCipJ4SKoVquNhFA45oPp0i8QXmGg2dPT0+ouXCqVEhQUxJYtdxIXNxOopLQ0k4qKIqRSd9zcnK/cFlBRcYHs7M+YPHk98+bdYWzB9XwfPRmcws1YPFMIhrnMCROmMGvWStzcQqirq6ak5BTFxSfQatWMGzfFRJFZX19CdvZHhIdvcbrwQ5wq4OLiglrdSnr6B0ycuIbp0+Oc+l5iKJUehIfH4uc3k8uXD9DV1YVS2U1AwEyUSm8zUi0Qwp5jaFi7ZQLlCNra6khO/iXu7jNYteox42tIJBImTJiCv/8sysuvUFBwCKXSh3Hj7LdMsYYewq1DLpchl/cIg1paqkhM/A/k8hC2bHmJqVMXUVlZSkHBEdraqgkOjjZa//T4EZrbohgIn06nF52DYlINfRHChoZStNqr7Ny5kr17nzDZYAsbNL1ej4eHR78zcYcawjVX2Ph7eHgYOx7ia6FCoTCxlhJb0KjVauPvWSCEQ/HZhVElMeEWv29rayuPP/44SUlJHDt2jOXLl4+K7+TrhDECOEQQE0C1Wm2c9+kLQtVPpVLh4uJinKHr60dii6QNBDqdjq6uLhQKRa8Svkqlor29HYlEMqCqnyMWDNYugsLntrQrFp7njAuNMEek0WiMLX17jrlEImH8+PHExs4nOnoKcvktSkszKS8vQCpV4u4+zqkXwra2WpKSfoWHx2xWr34UkBpvEIbz0EVkRSG/XQGUGj3hxIRQpxP880KZMWMZfn4zaG5uobT0LAUFh+joqMfXdwoymSunT/8Snc6HlSsfRyZzzoyVQPQN5shSI4HKzPwLLS0tJCQ8gUIx+FmcFRWpNDffICLiQWprSyksPIRK1UBQ0BwUCjdjFdVQMdP1IoUGlW//lNU6nY5Tp35BV5ectWufxs3Ns9djvLz8mDx5ETU11RQWHqW1tZLg4Ln99l/UantavgqFi9mIQAvHj/8Uvd6XO+54Bk9PX9zcPJk+PR61Wk5x8XlKShLx85uMp+d4i6/fQwilRt9D4TrRQ6pNNyZ6vfBbhrq6QurqjnPPPXPZuvUBE18+SwRqNMASgbJ2fRETahcXF1xdXVEoFMbNqFBxFjbIwnEUnuts4iWMAFkbVcrLy+Ouu+5iwoQJfPXVV4SGhjr1/cdgH8ZmAIcAQhVPQGtrK4BJqLWlx4uHlO2V+A+Wz6C11xa3PgUSJK7sWdt5imf9BkvhKx6mFkiDNXWdI2RZILxqtRqZTIabm9uAbyrl5eUkJZ0hJaWAxkZvgoIWM3789AFfmHU6DUeOvElHB2zY8DKenn4OzZ2JbT8Ec2DhitGjNJZQX19Jbu4pqqoykUg6cHX1oKWlkeXLXyY8fP6APkPPZ9GJ0iVcjAShre0WBw++xKRJW1iy5AGnvFdfUKs7+Oqr5/D2nsu6dd9GpeogK+sg5eVJuLhoiYnZytSpK0TCEkPVz5DFa6iAWTqG9laqL1z4kPz8M8THP8XUqb3TLMTQ6fRkZx+hoOAgHh7urFjxrNUIOUuwZU2j0ag4evTHtLdrWb36WZPkEQHV1SWkpX1MZ2cx06YtJzZ2h13eiubrsDZH2NBQRGPjKb7xjXncd999JhFiIykWzREIBAqc53lqnloinql2ZmqJWq2ms7PTaPclfi29Xs/Bgwd58skneemll3jllVfGWr7DiLEK4BBAIpGYVACFm5glGxitVktbW5ux0ubl5eWwQk2lUvWq0jkLwmsbFKWGqp+g8BUusELVTxx55qyqnyOwtiu21CYRZsnE6mlLNwuxuMWRqp8t+Pj4MG/eXGJipuPiUk9pacbtiqDbgCqC58//D7W1N1myZC/jxk10eO7MvF0nk8mRy8XzW4bqjKurB2Fh0UyZEk9np468vMTbVdc6ZDIXfHyszwnagnAudXd3GytnYuFPWtofaGtTs2LFE7i4DMxayR5cvPgRtbU3Wb58L+7uXsjlLoSFRRIcPJ/a2lqKio5TWZmJv/80lEpfE3Nkw/lnPgNnOovZ1wxcVdVlsrI+ZvLk9cydu9rmWiUSCSEhM/Dzm05Z2RUKCw/j6urJuHFTbD5XbGAuqFTF36FOpyEx8Zc0NbWwfPm3CAqaavF1PD39mD59Me3teoqLz1JWlsy4cVNt5mmbfo7e56FMJqOhoZiGhpNs3hzJxo0bjFV/QTAhWGSNFvInHPOOjg5jxdJZ10ZrIzTCHKFWqzW2jPvTNhY2xl1dXcYZbvG1UavV8vbbb/P222/z8ccf88gjj4yRv2HGGAEcIohFIMJFVQibhp5WhVg8YT4zYS+ElvFgkCqVSmVUtlqb9RNaXcIFx9FZv8GE4DFo3iYBy3Mz4gK50EqSSCRGgYqz1+7t7c28edEmRPDGjcJ+zQhev36UvLyTzJ59H+HhsWg02tttU8vpEvag9/yWzKRiIJcrKCk5CrgSFfUwTU21lJQkUVh4FJWqFT+/ycjl9pM0sdBDICHitTc2lpKd/QnTp29h8mTb0WcDRVtbHenpfyQkZBWzZy81+Zu7uxfh4YtwcwuhouI6+fkHaG29xfjxM3F1VRqrrbaOobUZOJWqlaSkX6JUTjGZ+7MH3t7+TJmyiNraOgoLj9HYWEJwcDQymeXKklarQ6223PI1rFHH+fP/Q01NKXFxe7AVOyeVyggLi8DffxYVFQUUFBxCpWomKCgSicTxc1Eigfr6IhoaTnL//Qt48MEHUCqVRoGYeMMtVLvEHpkjkQwKLgLC5n+wLV6c2TYWBDbCxtj8ut7Y2MiOHTvIycnhxIkTxMXFjcjv4P8axgjgEEF8QRJK8AIB1Gq1tLa2GsUbYl+//mCwCKCwwxPmr8yrfsKF156q30iZxbFGCIULoPmOWC6XG280g3kBE4jgvHnTkMluUVycTkVFEXK5l12q4Vu3rpOa+kfGj49nwYK70evBxaV3FccZMNxIJMhkUiorM7l+/RgREQ8wb95awsOX4OMzg9bWTsrL08jL+4q6ukLc3cfj7u5vdS3C+SSMTgiVW/PHnz//36jVClascN6cYV9ITf0f2tq6WLVqr8Vqo0QiYdy4UKZMWURrq47y8lTKyk7h5RWAj0/v9qj4ecIxtDYDd/bsO7S2tpOQ8C3c3ITxEftUsgAuLgqmTo0FPCkpSaWk5BT+/uEmlTih5Wvw25Ti4mLZlzA7+xOKizOJinqIiIilvf5uDV5e45g+fQnt7TqKi89SWpqEn98Uh6qBAPX1xdTVHecb35jHvffeaxSCCURFsJ4SNmnWXAOEa9VwkxGhsyB2ERiONYmvh2LnBeH4mh9DYbNvPq4kXntOTg6bN29mzpw5fP755wQGBlp7+zEMMcYI4BDBnAAKOyXBMsVcPNFfSCQSo+Te2VnDbW1txvkrMUk1n/UbaVU/RyC+AArHT6wmFlcJh6Kq4OPjQ0zMPKKjpwJVlJRkUFFRhkLhg1LpbfE5HR0NJCb+AheXMBISHsPFRWFs2w/mYVer20hK+jUeHrNYvnyHcabI13cC4eGxTJy4iO5uVyorcyksPEJZ2Xm0Wi0+PmHGKpBAeHpIiMxqHm5V1SWuXj3EnDkPEhIy8EgoW6itLeDy5f3MmHE3kyZFWnyMcL6DjMmTowgJmU9NTSWFhUeprb1GQMBsFAp3i88VQyLpMU2WyWQUFydTWJhMVNRWJk6c00sUodPpjc/r6zw0qISnMmFCJDduGCpxGo2KwMAI9Pqe7oSLixyZzPJ8aF7eCa5cOcCUKRuJjb2z9wNswFANnMP48RHcvFlEQcFB2tpqCQqaY9dsYENDGbduHeXuu6O57757kclkJipfsejAvOU5Eq1ThOujuLMwUmDLeUGozguPra6u5vPPP8fNzY1x48axb98+du3axeuvv87PfvazURNX938FYyKQIYJYhdrZ2WlUpVkSTwwUTU1NxhbCQCG0JQSbE2GH6ubmZqLutbSTNs/wdeZnHGwIvltardYkskg8SG2e4znY5tR6vZ6ioiJOnEgiM/MGnZ3BTJy4xCSiTaNRc+zYD2ht1bB69XcZNy7EoVixgeDMmf+msrKE9etfxc/PemycRtNNfn46RUVnaWkpRKGQEBq6iJkz78TLK8hIqoWWryXodDoOHXoJrdabu+56o9/qVkdw5MjrdHRIuPvu7yOX976RabU6NJoeaxpxSzc39wzXrn0JNBMZeRezZ2+2u73X1lbL4cNv4Os7n7Vr9yKVSuwW5/RV3VKru0hL+5yKimR8fPxZtGgvXl4Tbq/d8nNu3LjAuXO/JzBwKatWPWr1cfZCo9GQlXWI4uLjKJUyFi58hNBQ6wbjTU03qKw8xJYtc9i61ZA93FeubF8wF4mZtzjNRWKD8XsWxGRyudzELH+kQ2x6L3SbtFothw4dYs+ePeh0Onx9fens7GTPnj3s2rWLuLi4AcefjsG5GCOAQwTxDrO1tdVY3RiMGCJnEUCh6ifOGm5ubkahUODm5jasCt/BgqDAFmYdBcPVvh7fl7JOIDHOJIR6vSEM/dixU2RlVdLdPYl/2fU0AAAgAElEQVSwsCV4eIwnOfk3VFbms3jxk0ydOnfAN2h7UVaWyvnzfyQi4mFiYtbZ/byamlJyc09TXZ2JTtfCuHHhTJ++jpCQWONN11KmcV7eUbKyPmXJku8yZUrfSlhnoKTkDKmpfyYu7klmzDDN2rWllBXQ1tZMevo+amrS8PX1Jz7+WxazhcXQ6XQcP/4Wra1dbNz4Kp6ePhYfZ7iKi2MA9aLqNKLjZ2ryrddDYaHBIxIaiYnZysyZayy+R319MSdP/geenhGsX/8dp163bt0qJy3tE9rbCwgNjWbhwj29DKxbWqq4ceMAd945g4cf3mqcRXamytecEIqrW+LN3UB/z+IcYqVSOWp8CaHHnky4L5hX9YqKinjzzTepra1FJpORnZ1Ne3s7rq6uxMXF8eMf/5g1ayyfY2MYWowRwCGC0GoQfjjAoMS1ATQ3Nxtd1/sD86qfmKQ2NTWZZFZ+nap+4ouypaByeyBUFcQVQuEn5uzIJp1Ox7Vr1zh2LJmLF6upquri5s1cIiMfZt68O4ak6gfQ0dHEoUOv4u4+m40bn3OYdOp0elpbm8jPT+HGjTS6um7i5ubBlCkrmDZtHQqFh0mrXaNRceTIS3h6RrJ+/TODfn7pdBr+/e/ncHGZxJ13vmjy+XQ6vVHVbx6hZw0lJZfIzt5Hd3clM2asJibmIautzytX/kVOziEWLdrrsJm24VwUVwnFbWLp7dk4LXo9qNXtpKXto67uAhMmTGPp0m+ZjBi0tdVx7NiPkEonsHHjC05PdQHQ6bRcunSC/PwjyGRdzJ+/lWnTVt5+/1uUln7J+vVT2LlzOxKJxDh3NpgbTHs2eI7+nsU5xIPlgDBYEMd0WprjzsjIYOfOnWzZsoXf/OY3uLq6otFouHTpEufOnePs2bM8//zzLFmyZDiWPwYzjBHAIUJTUxOdnZ3GWYqOjo5BI4AtLS1IpVI8PXsbxNqCMI8irvqJK3stLS3G6C1xdUt47mit+onX7syLspgQmqsRneG9JbSRMjMzee+9P1FXpyAkZCWTJsVbnRF0Nk6e/Bn19Q1s2PAaPj6WjX4tweCPZzgmEonEeL5UVFwjL+809fVXkEi6CA6OZvbsLfj7T0en05GR8WdKS7NYvfoVxo0LMakUDsb81qVLn3Lt2klWr37FaHViae2OEF+1upP09C+5cSMJT083Fi36JhMmRJg8pqmpgqNH3yIgYAlr1jw64M8hGHuLxzYECCkc+fkpXLv2JTJZJ3FxO5k8OR6NRsXhw2+hUklZt+55fH0Hd4i/qekWqamf0tiYw/jxk5g37wFu3TrL6tUh7N69wzjn7GjL1xnoa4Nny1tU3F0YjrUPBLYylPV6PX/729944403+NWvfsVjjz02ajb+/5cxRgCHCG1tbUZ1mkajobW1FR8fn0FRwtoymrYEwXVeyCm2FuMmtEXMd8PCfNxou7ANdcXSmebU4rUL6uWLFy9y9OgZ8vJakMtnExa2CFdXxzcC9iI39xAXL37B/PmPM3u2/bt6A+nu25C6paWe3NzT3LiRRnd3LT4+gYSGxnHt2kEmT97E4sUPGImMuT2FuGU8kO+zo6OBgwe/R0DAclat2mP32u1FZWUBGRmf0NlZzJQp8cTF7UIuV6LT6Thy5A06OyVs3vya0ypupmuXIpXKTGYJ9XpoaaklPf1TmpuvERoaiVrdSkNDAytXPkNw8DSnrMMWdDo9+flp5OR8iURyi23b7uCZZ540ijf6W6F3NuydI5TJZKhUKuM9YLT4EkLPvcFaq12lUvHSSy9x4sQJ9u3bx6JFi4Zxtdbx05/+lO9///tERkaSk5Mz3MsZERgjgEMEsWBAo9HQ0tKCt7f3oJT/hbk9b2/7KkC2qn7WZv2EaDhxyomAwZp/cxZG0pyieUVBnJcsPo5iQihuxZivXa1Wk5mZybFj5ygoaEepjGLixDi71KeOoLGxjGPHfkJAwDLWrHnM7ueJxRJyuQsyWd9EV6PRUFiYQWHhOcrKjqPTaYmL20Z09L14ehqqUeaRg2LfTfMZQkfOxdOnf011dTmbNv0AT08/o52IvWu3BwYhxEGKi4+hVMLChY9SX1/M1avHWLr0O0yeHDXg9wBsrl0sLNFqteTkJJKV9QGdnbeIjX2MxYu3O5RYMlCo1e1cu7aPkJBGXnvtBeNM80jvLlibIwSMRuYj9bpoDsHiRYh0Mz/uFRUV7Ny5Ey8vLz755BMCAgKGaaV9o6KiglmzZiGVSpk6dSqXL18e7iWNCIwRwCGCuGI2mHFtgDGpwsfH8sC4AHHVT5gZtFT1s3fWT/hs4uqWgJFECM3XrlQqR1TF0rxlbF5REG4wtqqtKpWK9PR0jh1Lobi4C3f3aCZOjMXFZeBZuRqNmsOHX6O724tNm15BqbRNLu0VS1hDUVEy5879GS+vKNTqCvT6VgICZhIRsZmQEFPlqD2E0NyyyBw1NddITPx/REQ8zLx56we0dntQW1tOWtrHNDVdpr29mlmztrFqlXNav0IUnVQqsdvAPDf3MJmZn6HT+SOXNxAaGs2CBbtRKDyMwhKJREysB7xUI7q7VVy//gXz5kl4/PEduLq6jrruAvTEogljAsJvW4AzI9icDSGRRCqV4u7u3iv//ezZszzyyCPs2rWLn//85yN6lnHbtm3U19ej0Wioq6sbqwDexhgBHCKICaBOp6OpqQlPT89B8UXq6OhArVbj6+tr9THiqp95WLezMnyHUhBhL/qqnI1UCIRP8B4UYK9VRUdHB6mpqRw/nkppqRYvr3mEhs53KJHDHGfP/paKinxWrnyB4OBwOz6D42IJMdTqNr766mXc3WexYcOzqFTt5OWdo6TkLF1dVXh6+jJt2hpmzlyHXN6b4JoTQuG/ARMyKPy7YDOj0XiyefNrt+fn+rd2R6DVavjoo700NjYQEhJIXNxOpkyx32jZHD1xbnqjwbQ9a795M5szZ35HYOAyVq7cTU5OInl5B3Fx6Wb+/J1MnBhnUVgi2M8YRCb9W7NWqyY390tmzVLx6KMP4evrO2JavvbC3CbFPCPd2lyw+RjIcKSWiOf9LI3F6HQ63nvvPX7+85/z+9//nq1bt47o7+X06dOsXbuWixcv8vTTT9PQ0DBWAbyNMQI4RBC3X/R6PY2NjXh4eAyKL1JfBNDZVT9HfvjDSQh1Oh0qlYru7m6LQ8wjGWK/MJlMhpubW682E5haVVgihG1tbaSkpHD8eDoVFXq8vOYREhLjMBEsKDhJZubHRERss2n5Iq4+9UcsIeD8+fe4ceM669e/buIxqNNpKSm5RH7+aZqariGXw6RJi5gz5x68vCb0sS69RVIIhuOYn3+EnJwviY9/hpCQ2bfXbnsuc6C4fHk/V68eZe7cHZSXZ9HUlMOECTOJj38Cd3frGzpLsOZLaAtNTTc5fvzHt8n2d4yeh/X1VaSmfkxLyzVCQiJZvPhxXF29jD6EYkNqQNQuFoi17ffW6bRcv36ASZPq2bPnAYKCgiy2HkcybNmkmEM4D/uq+g+mH6H52oVrvCV7mvb2dp599lkuXLjA/v37mTt38C2YBgKtVsuCBQtYtmwZ7733HqtWrRojgCKMEcAhgpgAAjQ0NBhTMZwNwcLFz8/P5P8PRdXPEdirkB0oIRTWrtfrjWsfyTtWMcQzONb8wmyZU5t7l7W2tnLu3DlOnMjk5k0JPj4xhITMQyazXY1ubCzjxIm38fWNZe3aJ/skc/2tPpmjpuYap079iunT7ycubovVx9XW3iA3N5nq6gx0uhYCAmYyZ87dBAfblxEsnI8dHU0cPvwSPj4LWLnycYDbgonePnrORGPjDY4f/yFBQStZsWKX0UD66tUvkUhamTv3fmbMWGuTyA2k1a5Wt3H48A/QaDzZsOHFXr6DOp2eK1dOcf36AWQyFTEx25g2LcHkvYXKoFhYAhgrgz1Vwt7ncX7+Ufz9y3j00fsIDw8fdS3fvtqmjqCvOcLBMpwX4ujAsj1NcXEx27dvZ9KkSfzjH//odX8Zifjd737Hm2++SWFhIf7+/mME0AxjBHCIYE4AGxsbjQkgzoZKpaKjowM/Pz9jO0sIGR/qqp8jsEch68isjLgNMxqrfkIbxtGbib3m1G1tbZw/f57ExCy7iKBa3cHhw2+g1fqwadPLfSpTDZF5GiQSx6pP5tBo1Bw8+DIwns2bX0Uut73xUKnayc09Q0nJGbq6qvDy8mfmzA1Mn77Grqix06f/i5s3i1i37lV8fASRibV2p3MIoUH1+/pt1e8bJjOVra0NpKZ+Rl3dBfz9Q1my5FtWq5umpNuxdrVOp+PkyZ/S2NjIqlXPERg4yepjm5vrSEn5mMbGywQGTmXx4ifw9OxtASQIS8RVQtPEkp45zOLiM7i5XWXPnruIjo4edS1fsU2Ks1M9bP2mBzpHKMwqWpqz1Ov1HD9+nG9+85t85zvf4fvf//6IyHG3hfr6embOnMmbb77J888/DzBGAM0wRgCHCIIHlABnxrWZQzCc9vPzM+5I+1P1EzyrhkslOxBCKJitjtaqnxBD5wzLCOF7tibOEWYEk5MvU1kpwdt7HiEh80xawzqdjuTkX3HrViWrV79AYKDlBAtD9akbrdZgMyKXuwyIHGVm/o2CglRWrXrJYQsSnU5LUVEW+fnJtLTko1DImDo1gTlz7kKp7C2Q0uv1VFbmkJT0S2bMeJCFCzebHHfBR6+HzIjbnVKTlqejnzkn53+5cuUIS5c+Y1X1m5+fzuXLn6PT1RIRsYnIyHtMznut1rDJ7C/pTk//M8XFmcTFPc706bE2H6/T6cnLS+HKlS+BJubM2UxEhO2Iu55Np9648bx58wKQySOPbGThwoW4uroOmdp4oBiOVA9bc4Tm3RNr6xGPl1ib9/vlL3/Ju+++y1//+le2bNkyKr4TgKeeeorExESuXr1qrGaOEUBTjBHAIYI5ARxoWkdfUKvVtLW1oVAojDmTjlb9hAvaSEvz6MsyRSCDQsj7aFMNikm3PTF0A3kfS7OYLS0tXLhwgaSki1RVSfH2jiE0NAYXF+Xt2bRjxMTsISJimcXXFarcej24uMgHXCWorc3n5MlfMGnSJpYufXBAr1VdXcy1a6e4dSsLqVRFaOh8IiPvxdc3DBAqOJ0cOfIqMI4tW16zWW3saXf2kBkBAhm0hxA2Nd3g6NEfEhS0gpUrd/f5nh0dbaSn76eqKgVvb1/i459g3Lhw4/fYX9JdUJBIZuZHTJ/+DRYutN5mtwRDxN1+amoy8PEZx+LF38Tff6pdz9XrobIyh5aWRLZvX0FCQoLJcRzsfO2BYiSlethyDzCfIxRf5y3NKra0tPDEE09QUlLC559/zsyZM4fjY/ULBQUFRERE8Jvf/IYtW3rO523bttHU1MTRo0fx9vYeFW3swcQYARwimBPAgaR12EJnZ6dJXI94RzrSq36OQkxkxLtg4aJnyUNvJMLc1Hko21/m1YTGxkbS09NJTr7IzZt6dDp/8vKOM3HiOhIStlt4fv9sRvqCwWbmVbRaH7Zsed0oRBgoWlvruXIliYqK82g0DQQEhDN79t2MHx/B1aufk5eXyIoVLzJx4iyHX7s/8286nY6jR9+go4Nerd++UFZ2hQsX9qFW32Dy5CVER2/Fzc0dqdRxhXJtbT6Jib9k3Lg41q7d2+/86NLSHLKy9qNWVxIevpQFC7ZZVGQL0OuhtraQW7cO8eCDC/nGN76BVCq1a4RhqN0Deq995Kd6mAtLzP0IBYJoSWSTm5vL9u3biYmJ4U9/+pNDoQIjAUlJSTbzhp977jn+8z//c4hWNDIxRgCHEF1dXcZ/709ahy0IOzqBaIptZhyp+o1GywWhjSEYrQoXP3tMlYcbI82aRlAlNjU1kZqayh//+CFVVVLCw9cTFrYYNzdvY4VLaPkOVOhhDqEduXLliwQHTx/4C5pBre7k2rWzFBUlo1JV4O7uRUvLTSZPvodVqx5xynuIjZWFSqHp/JuU3Nx/cfXqUZYseZopU+xXVOr1oFJ1kJHxbyoqknF3d2HRokcJCZnn0Bo7Opo4cuT7yGRB3HnnCygUA5tJVqu7uHDhIGVliSiVUhYs2MmkSQt7PU6n09PQUEFFxb+55545bN++zepvsi/3gP7MBg8U4mSM0XStFK6J5nZSAM8//zx+fn4sW7bMmOzxxhtv8MILL4yoa6W9qK+v5+zZs2YjHHrefPNN2tra+O///m+mTZtGZGTkMK5y+DFGAIcQYgLoaFqHLajVaqOCS6lU0tnZiZeXF3K53IT82ar6DXcbw1FoNBo6OzutqmTNZwjN2yLiG8dw+G2NBpFKc3MzFy5cIDExnaKidqTS6QQHL8DNrad9IlYZD/QwVlVdITn5P5ky5S7i4+8b4OotQ2hXa7UaystzOHPmv2hvb2LSpOnMnr2BmTM3Oq3qKMBwpe35LTY2VnDy5I8ICFhOQsJOsxlC68fRfM6yoeEm6emf0N5eQGhoNAsXPopSaXtjqdNpOHbsx7S2qrjjjhfx87Num+MoDKbWn9Hamkdg4HQWL34MT8/xt+cotbS01FFa+i/WrQvjscd2O7Tp6St+TbzRG4zfta1kjJEM8fVGoVDg6upqFA19+9vf5ty5c1RUVAAwceJE1q1bR0JCAsuXL2f69OmjguTawqpVq6ivrx8zgr6NMQI4hFCr1cadq71pHbYgrvq5uLjg4eGBXq+nubkZT09PY0sFMCF+4ueO1qpff1SyI4UQjkaRSldXF9nZ2Zw8eZ6rV+vR6SYTHByLl1eQ6BwbWEKEWt3BoUMvI5WGsmnTS3apfh2BuL0o+BIWFyeRkfFPpkzZTGtrJfX1l1EoJISHryQy8m4UCuePaRhav2/S3q7jzjtfQ6FwM/MitHwcxYba4jlLnU7L5csnyc8/jFTawbx5DzJt2qo+NxSpqX+kpCSb+PgnmTrV+X5uOp2eq1eTuX79ENDMrFkbmDVrE2p1B0VFX7JkiTdPPvmoU4Rwfc2/9eWN6QgEpexALV6GA2Liamner76+nscee4zu7m7uv/9+8vLyOHv2LJcvX0av17N48WJSU1OHafXOw+rVq6mvrx8TgdzGGAEcQogJoD1pHfa8nti3Sah+CVFzSqXSSGbMZf2jueonvpgNVCUrtEXM/bYGy4DV3NR5JM4O9YXu7m5aW1u5evUqqalZ5OY20NUVzIQJsfj4hIksP/pnmXL69H9RVVXKHXe8gr9/qFPX3mORojN+r11dLRw48DJeXlGsW/c0UqmE2tpycnJOcutWJjKZmsmT44mKug9393FOW0tOzhdcuXKI+PhvM3VqT9u2L6WxRCJBr9f3qfJtbq4jLe0z6uuz8fcPZtGiJ/D17X0cCwtPkZHxT2bMuJe4uM1O+1yW0NbWTEbGF1RWnsfDw5OQkNnExXnwne88NmhD+H3NvzkqLLGllB3psOVNeOnSJbZv386qVat47733TKzJmpubSUlJoa2tjQceeGColz6GQcYYARxCCDcfsG7WbA8Ep3khZsjDw8N4MxAufMKMobkYQmgD/F+q+jn6HpZuHM6oJNhj6jxSIb4JCu1qgLy8PJKTz5GdXUFzsy+BgfMJCJiFRCKzYZnSOzKssDCRjIx/EhW1k+jovge4HYVYTCDc+AGSkn7FrVs32bDhdXx8TH3smpvruHz5GJWVqUA7EyfGMnfuA30mjNgDg+r3LSZMWG5z3lBomWo0PXNvAqwpjXU6PUVFmVy+/AUaTQ0zZqxm7twHRIkeJZw8+XP8/GIHJPqwF4InZGVlPllZHxIc3M4HH/yW4OBg2092EvorLDFXyo6GSr0AW96Eer2eTz75hO9973v89Kc/5amnnhr2z3b16lXeeustsrKyqK6uRqlUMmvWLJ5++ml27NgxrGv7OmL0lH2+ZhB2845AqNwJtgNiha841kqv1+Pp6WnSFhFEBgIUCsWg5BAPFsTeeINJXIW2oDDbY04IVSqV8XH2EkJz4urp6Tlq20fmxDUiIoLZs2dTXl7OuXMpnD+fxLVrqfj4zCU4OMqoAjW3TBHfgKVSKW1t1WRlfYS//wIiI1c5be3i708QCAlrLytLparqGlFRO3uRPwAfn/EkJGynrW0zV64kUl5+lhs3XiUkJJq5cx80Wsg4Ap1OR0rKe8jlgcTH266o6PU647ESqn5ipbFGowUMmxTxDOH06QsJC4skM/Pf5OUlU16eQVzcbgIDZ3DmzDu4uISSkLB7UMmf+ayiTlfPihXhfPOb9w0p+QPTjbBhbabKd3F3RhCWgKHLIpFIRt1vVixUsdQlUavVvP7663z55ZccOHCApUuXDjv5AygvL6etrY09e/YQEhJCR0cH+/fvZ9euXZSWlvLGG28M9xK/VhirAA4hxBVAsVmzPT88cdVPMJAWV/3EyjhLs35CBJzwnJEkhugLQ+WN58h6HIldc7ap81DC/NjbU3G9desWaWlpJCdforJSh1IZQUjIfNzcTGddxZYpGo2aY8d+QFeXjLVrX8TT09esZdy/49XjS6jv1e5TqVo5ePBl3NxmsHHjc3YRIZWqnStXTlFSkoxWW8+ECRHExDyEn59lU2xLELJ+bal+7bXWsUdpXFtbxoUL+2htzUOtbkahCGLdupcJCLCe9DFQmM8qVldfRqtNZe/eu4mNtW0yPdToy3R+pF8jzSFs2MTzxWJUV1eze/duJBIJn376KSEhIcO0Uvug0+mIjY2loaGBsrKy4V7O1wpjBHAIISYMglmzr69vnzNg1qp+wt/MFb72zvrZmn0bCRe70SBS6YsQCl5bo8VTUYyBHvvW1tbbptIZFBW1AVMIDp6Pt3dIr9dJS/sjxcVZLFv2DCEhs4xVbHFFRji37Tkfhd+EIRVDYnFeLjn519TUlLNu3WsOq1/V6k6uXEmmuDgJjeYWAQGziIl5yKb5cWNjGceOvUVw8CpWrNjV5/r7m6EsEEJxtdVwPLQkJv4nBQVn8fPzJTZ2K3Pm3I1M5vz5054YQMOxb2gopqHhKLt3r2Tt2rVOfz9nwtyPUyaT9SksEW/2RgLEQhXxaBAYzov09HR27tzJfffdx69//etR0wW66667yM3NpbCwcLiX8rXCGAEcQogJgjBM7+PjY7WqMpCqn6Mt05FECIUbYGdn56gTqQhr7+rqMkk0gJGfaiBAuIk449h3d3eTk5PD6dOpXLlSQ3u7P4GB8xk/fgZSqYzS0vOkpPyJ6dPvZeHCu43PMx9pMFXI9pBB8/NR3PK1ZhYsvGdk5Hbmzu0/IVGru7h27TSFhYloNDUEBs5g3ryH8PfvHVmn02k4fPh1uroUbNnymlW/Pa1Wh0ZjyAwfSIayGHq9noqKbM6e/S0BAQno9Vpu3UrH09OT2NjdBAVFOSXT2LzlK5e70NZWTXn5l9x/fxT33XffiD3nwXaqhzOFJc6GLaGKXq/ngw8+4Ic//CG/+c1vjBXAkYqOjg46Ojpobm7m3//+N6+88grvvvsue/fuHe6lfa0wRgCHEOKLhkajoaWlBW9vb4sXGnurfpZugM5Q+A4XIRTvwEer4k5s6iyXy/vM4RUfy+H+nGKfMGcfe71eT1FRESkp6aSl5VNXp8TNbQrZ2Z/i6RnJhg3P2qyEm5/75oRQIpGYzMtZ2lipVM0cOPAyHh6z2bDhu06ZgdNo1Fy7doaCgpOo1dVMmDCDefMeNqkIZmd/RF5eMsuWPUtYWISFz9dzfTDMKjov5aKjo4FDh15HqQxn48bnkclklJfnkpW1n87OEoKCIpk/fyfu7r4OKbbFsGRPo1K1UFi4j7VrQ3jkkZ0jtgLe31QPW8IScz/CwYKtLGKVSsULL7xAcnIy+/fvH5EteHM8+eSTvP/++4CBXL/zzjs8+eSTw7yqrx/GCOAQQnyREKxavLy8TC6MwvzGUFT9HMFgE0Lzqt9oa5naa+osfIcjjRAOpS/hrVu3yMjI4KOPvqSwsJmpU9cxdeoyPD0DHHodMRnsq0Io/D+AxMSfU19fy/r1r1kUfgwEGo2aq1cNFUG1uooJEyKYP38bGo2akyd/xsSJ61m+/CGLn6On5St8985Zk8Hs+Ue0tnaxYcPLeHv7i9arISfnJAUFx4AWZs3ayKxZm4CeNxfU2n1lGpu3fKVSCRpNF7m5/0tcnAtPPfXYoGSeOwPm5sgDuWaaC0vEc4TirHJnJhHZqlqWl5ezc+dO/Pz8+Pjjjxk/3rnn/GAhLy+PmzdvUllZyT//+U+OHz/OBx98wCOPOCelZwwGjBHAIYSYAOp0OpqamoxxbYJStKOjA4lEYrHqJ5C/war6OQJnEkLzqp9SqRxV3ngDIU/im4Z5zNVQ5J6KFcpD7UvY2NhIVlYW6ek55Oc33vYTnIe//zQkEvvWYO7tJ8xdWiKERUWJZGV9SkzMo8yZs3zQPpdGo+bKlWQKCw0Vwfb2Gvz8Yrj77h+iULiaPFarFWYVndfyFSM9/c8UFWWwdOm3mTw5yuJjWlsbyMj4gpqaDDw8PImL201QUKRxhlA8yiAmgwaipzFp+UokBnFPbu5XTJvWxDPPPEZAgGPEfqgw2KkewnVb/Ns2F9/112fUVtVSr9eTnJzMnj17eOyxx3j77bdHzRiNJWzYsIH09HQqKytNfArHMDCMEcAhhJgA6vV6Ghsb8fDwQC6XG5NBRlLVzxH0lxCOtBxcRzAYps62CKG4SjjQ73mkKJS1Wi3Xr18nJSWdCxfKaGrywMcniqCgaFxclH0+ry+hh7hC2NpazbFjP8DXN5aVKx83MUgf6OybNajVXRw69BalpTn4+/sweXIsMTHb8PYOttDydXH6Ggyzjh8wbdrdLFp0t83H37iRS1bW53R2FhMUFEFc3CPG+DbT1nuP0hgMpFDc5iwqSsLXt5Bnn93J1Kl9C2OGC8OV6mEeYWfJZ9SWsMRW1VKn0/Hb3/6WX/7yl/zhD3/ggQceGPbxkoCu/8oAACAASURBVIHi/fff58knnyQrK4uYmJjhXs7XBqN3SzAKYelHKKR5CP5w/Zn1ExRfw7nDs+afZ+5DKBBCqVRqvBCO5BxcaxgsU2fhRiCTyYxZneK2Und3N2q1Gug/IRS320fCuSOTyYiMjCQyMpLNm6vIyMjgzJksCgoycHGZSXDwPJP2sD1CD+g5lhKJhLS095DLJ7Bs2Q5cXOTGY2p4nDitxNSceiCoq7uOSlXN4sWPolAoKS4+xaFDbzJx4nwiI+/HzW2c01u+AlpaqsjI+Bt+fvOIi7vLrueEhUUQGvoqOTlJ5Ocf4fDh15kxYy1RUfcilyuQSmWADI1GiNIzHDe9Xkd3t+FYVldfRiq9ysMP383kyfbb4wwVbIklBhvCpsOWzyhYHgkRW3pZinRra2vj6aef5vLly5w+fZqoKMtV39EG4f4xmu4RowFjFcAhhGBNAT0zgACurq4mLu2jpernCMSEUGypAIYhX2Fof6R7bJmbOg91JmhffmXCnFFfg+ejRWTT3t5OdnY2p09nUFDQZGwP+/lNNaZiCFU/W+vPyvqQvLzTvbz3erwIraWV9D371hfU6jYOHHgFhWISmzZ9D6lURmdnG5cuHae0NAm9voUpU+KZP38bSqW3Yy9uAxqNmiNH3qSrS86GDS/j6el43nhHRwuZmV9SWZmCUulCTMxWJk9eKiLePS1fMJyXdXXF1NYeYtu2eFasWAGMXFupkZrEYz4jLL4PCOMNgMVNW2FhITt27GDatGn87W9/G3DO/HCgtra218hAd3c38fHxlJeXU11dPaoMuUc6xgjgEEKn06FWq42zfmBI5PD0NITNO1r1G25TZEchbl3IZDIUCoXxYjcSfQjNMVJapmKYzxn1RQjFldjR0m4X2sPnz6eTmVlMXZ0SH58oJk6MwdXVtrCgpuYqp079irCwjSxbtrXPx5oSQsuzb/YSwqQkg8+gIdM4xKTS09XVztWridy4cQaJpJ3w8ATmzr0fhcLTrmNiC+fO/Y4bN66SkPBdQkNnDui1ampKycz8X1pacvHxCWb+/F0EBIT3qlq2t9dRUvI5d989i4ceehDAZJNiyUPPmRnbtiAeNRlttlKGc6bLRDAG8MILL6BQKFi6dClSqZRXXnmF559/njfeeGPUVsruvfdeWltbWbFiBSEhIVRXV/PPf/6T/Px8/vKXv7B79+7hXuLXCmMEcAih0WhobGw0xvOo1Wpj9e/rWPUTw5ZQwprH1kCHpZ2B0Ua8zWcIxURGIpHg6uo6KIKDwYJQtayoqCAnJ4f09Dxu3tTcbg/HWFUPq9VtHDz4CjJZCJs2vezwd9bX7JupGMKUEPZkGu8iOnqVSSKJ2J6mtbWeixePcPNmCnK5munT1xAVdY8xPq8/KCw8RUbGh8ye/SDz52/o9+uIodFouH49ldzcQ2i1NUyaFMeCBduNlUu1uoO8vH0sX+7HE088gqura6/XGC4PPXHFfjSOmuj1vSPdhGP56quvcurUKfLz8wEYP34869atIyEhgYSEBObMmTOqPivAp59+ygcffEBOTg719fV4e3uzePFiXnjhhRFvIj4aMUYAhxAajYaGhgaj4qy5udkoHvg6V/36I5QYKYTQPBlgtBFvrVZLe3s7er0emUxmJDRgqBCaV2NGGiyJhNrb27l48SKnT2cY1cOBgXMZP366iXo4MfHn1NVVs3bty/j7DzzuSkwIzWPXhNnB9vZajh//AT4+Mdxxx1NGMm5NqALQ1HSLrKyD1NSko1DA7NkbiYjYhFTq2O+8sfEGx4//CD+/WNau/daAPQ7FQhWZTIper+XixWOUlCQilXYye/YGIiI2cf36V8yZ08UzzzyOr6+vna/dt4eeM+yQxL/dkVKxdwS2VMpNTU3s3buXuro69uzZQ2FhIWfPnuXChQtoNBrCwsIoKysbVZ95DEOLMQI4hBB2o8IPsqWlBcBIKr6OVb/Ozk6nCCWGgxCOdoWytRxfc68yS7nQw00IxRsHa5UbrVZLXl7ebfVwKY2N7vj4RBMUFEVBwXEuXfo38+Y9MmiWLwIhFMigRqPh5Mm36OjQsW7dS7i7+xiJtz0indraG1y8eJC6uizc3BTMmXMP06evset70GhUHD78Bt3d7mza9ApK5cB89/ryJmxpqScz81/U1GSgUEhYtiyCV155iokTJw7o/azNvvXHVFnsjzfafrtguPZ0dHRYnTO+du0aDz/8MAsXLuT99983jhGBYX42LS2NioqKsZbpGPrEGAEcYnR1dRnntoSYN8DkxiuRSOju7v7aVP3c3NycPrg7mITQXlPnkQpHq5bmohJLhHAo5zH7o7Curq6+rR7OoaSklby8K/j7L+aOO7416OsVkJ39EdevJ7Fo0VOEhpqmffQVX2eOqqoiLl06SGNjDp6eXkRH38+kSfF9noOnT/+GqqoiVq58nqCggVmvmHoTKqxWEi9fPkhTUxIvvriT9evXD+g9zdFfU+X+pnqMFJi3rMXiQOHvX3zxBc888ww/+MEP+O53vzsiPl9GRgZ/+9vfOHXqFGVlZfj7+xMfH8/bb7/NjBkzhnt5Y7CCMQI4xBCGeYWbrLkvlBgymQylUjkiYsLshTOrfo7AWYRwKBMxBgPOGHa3RQgHq/1ubk/TH4V1e3s7ycnJfPLJl0gkgXR3hzBhQgz+/uF2m0v3BzU11zh16leEhq5n4cJvmFh92EorsVT9Bygvv8rlywdpbc3Hx8efmJiHCQmZ1+u9r18/Snb2PqKithMdvbrfn8ERb8KGhhLq6g7zyCMrWbNmTb/f0/61WTdVFkYZZDKZ8e+jsWMi3rhZunZqNBp++MMf8vHHH/Pxxx+zatWqEfP5HnjgAVJSUnjwwQeZO3cuVVVVvPvuu7S1tZGamkpkZORwL3EMFjBGAIcQ2dnZ/POf/2T58uUsWbIET09P4w9Yo9Gwf/9+NmzYYLwxDNWN1xkYbnsUS+txhBAOhqnzUGIwq5a2TL6dcV46e9bSkrm0r280QUGRAxJZWILB8uVVpNIJ3HHHd1Eq3a1u2mzF14n/Kfi+lZRkc+XKYTo6ivH3n8j8+TsICDCoe+vrizhx4mcEBCxh1arH+j3350gcXXt7PSUl+7nnnlls3frgsP1OrG1UoCcLeqReL80hzOqC5Y1bXV0djzzyCB0dHezbt49JkyYNxzKtIiUlhYULF5qsu7CwkOjoaB544AH+8Y9/DOPqxmANYwRwCJGXl8d7771HcnIy169fZ/78+SQkJDBr1iz+53/+h6ysLA4cOMDKlSuNpKQvEjNSrFLELbuROmzd17EULFL0ev2IXX9fEFddh6JqaetYOmrxMdjzWpWVlaSnp3P27BUqK3W4us4mJCQGd3c/p7z+yZO/4NatSlavfoHAwEkOEaIeUUkPMYQeFwBhM6jX68jPTyM39whq9U0CA2cQFXUv58+/B/ixadPLKBT9i8hyJI6uu7uT3NzPWL7ch71791hU/A41hFQPQeEuEMP+pGwMB4T1W9t4ZmVlsWPHDtavX88777wzqqLQYmNjkUqlZGRkDPdSxmABYwRwGGAwTa0jMTGRd955h5SUFIKCgoiNjSU6OpoVK1awaNGiXkRkpBHCkVb1cwTCsezq6jJpvY+GaqsA8xzfwZi1tHcd/SGE5usf7Kpra2srWVlZJCdnUlTUglYbRlDQfHx9w/r1Hev1cPXqV1y69AXR0QbLl4GeK+ZeoKZehFJ0Oi3Xr5+joOAYtbXZyGQKNm78CZMnOx6P5WgcnU6nJTf3S2bNaufZZx/Hz885BLq/sJXqIVYam4/YOEtpPNjr//DDD3n11Vf5xS9+wd69e0fstcgS9Ho9YWFhREdHc/jw4eFezhgsYIwADhOuX7/Oo48+SlpaGs899xzPPPMM6enpnDp1iuTkZMrKyli4cCErVqxgxYoVxMXF9ZoJsSd/d7DUnKNdoWxu6iw2pR5pPoSWMBJNqQX0deMVn5MqlWpYqsYajYYrV65w9mw6ly/fpKXFj4CAeQQGzrbbekWv13PrVgGJiT8jMHA5a9Y8Pijrt0YIr1z5nAsXvsTFxRt3dy2TJsURE7MNd3f7bVjsbfkKMGT85vPd7+4e9pi3/qR6mCuNLVnP2KvYdub6LVXtu7q6ePXVVzl06BCfffYZS5YsGdT1DAY+/PBDdu/ezZ///Gf27Nkz3MsZgwWMEcBhgF6vZ/78+XR2dvKXv/yFpUuX9vp7VVUVp06dIikpieTkZCorK1m8eDErVqwgISGB2NjYXhcqa3FrziSEXwdfQnvWP1J8CC2tSyyUGA3Hf6RWYvR6PWVlZaSkpHH+/HXq6lzw8oomOHguCoW71edptTo6O1s5fvxN9PpxbNr08oBtVxxZc3X1VZKSfs2ECQksWHA3OTknqKg4i0TSwdSpy5g7936USm+rhE6r1aHRGNwH7DUEr6rKoavrDE89dQ8LFixw5kdyGOKRgYGketijNHbEesZZ66+srGT37t24uLjw6aefEhQU5LT3Hipcv36dxYsXEx0dzZkzZ0bM5nQMphgjgMOEwsJCQkND7Zrn0Ov1VFRUcOrUKU6dOsXp06e5desWS5YsMVYIY2Jiel1IrA1J99cAWLxrHY1Vv4EIDUYCIRwtOb7WYB4FKJfLe5kAD2YqRF+or68nIyODpKQsbtzoxsVlJiEh8/Hw8Betv6dlev78O9y6Vc7q1S8yYcKUIVkjgErVzKFDryGXT2TTpheRyVzQ6/W0tBhSRSorU5DLuwkPX82cOXfh4qI0zhECaLUaNBqh5Wtfpau5+SaVlV+yY0c8d95552B/RKsY7FQPgRCKf+PWrpmWVNv2vH5fFjV6vZ6UlBR27drFtm3b+I//+I9R518IBkumZcuWodVqSU1NHZUE9v8KxgjgKIRQuRATwqamJpYuXUpCQgIrVqxg7ty5vebB+iKE1ny1hPcTqk4SiWRUZWkKcLaps7Wq1mBlnY52Y9u+hCr2tOaGihB2dHSQnZ1NcnI6eXmNt+cEF+DtPdFYISouPsmlS/9LVNQOoqMH3wJFgE6n48SJH9HU1Mq6dS/h59f7xtrYWE129iFqatJxcYEZM9YzY8Z6k9a2TCZFJpPbpRhWqVooLPyMDRvC2LVrx7DN+A5Xqoct03R7N37izY+lzadOp+OPf/wjP/7xj3n33XfZvn37qNrcCWhubmbVqlVUVFRw5swZZs+ePdxLGkMfGCOAXwMYbkrFJCYmGlvG7e3tLF++nISEBFauXMmcOf+/vTsPi7ps9wD+nUH2xRRkcUFAoUBABQWRYXF/1WwxlQKNXjLfSo+JlpqaJ9PXfFvJY+UpPZjKOWrYYlmZycywKJsLiooYyqK4AaLsDDO/84fv/BpgBgaYmd9v4P5cV1fXBRTPDMt8eZ7nvm8ftYFQ3S831eMPgUDA9i409l0nfTZ11lcg7A3taVR3PbQpVFE9mlM3FcIQgVAulyM/Px9paVk4d64M1dX9MWjQWJiZWUIs3oZBgyYgMvJlg34tTp/ej8LCVAQFLcGIEYEdfuyjqSI/o6LiHCwszODlNRvu7uH/Hun26GP+qjIWqP2+lMubcelSMgIDTbB06WJYWWk+FtcnPv3x03aHUJufc9UuCZaWljAzM2v1/2xoaMAbb7yBU6dO4fDhwxgzpusFPXzQ2NiI6dOn4+zZs/jjjz8QHBzM9ZJIJygA9kIKhQKFhYWQSCTsDqFMJkNoaCjCw8MRERGBJ554ot2Ll6ZACDw6mjMzM9P5fRh94rKpsy4CYXcmYvCJ6pWBnuzaaBMI9XF5n2EY1NfXo6ioCLm5Z3D6dDFycvIgkw3AzJlrYW1tuCrY0tJsZGR8CTe3WQgJmafVf/Po6kjhvyd2XIKtrR38/ObC1XUCAECh+KsFDQAIBFA5LhagsPBXuLrewRtvxMHJyUlfD63D9fN9qoemqyEAWk11EggEsLa2bvfHT0lJCaKjo+Hs7IykpCQMHDjQ0A9BJ+RyOebOnYvffvsNP/74I/72t79xvSSiBQqAfYBCocDly5fZopLU1FQIBAKIRCL2DqGnpyf7y/X27dv44osvEB8fz14Sb3sfpu3oOj7h465ZVwIhAI1zfI2FLiaSaNLR5X3VubE9+d5Ut2tz9+5dJCbuQVnZA1RWWsDKygdDhoyFubmtzh6bOjU1d3Ds2DuwsnoCf/vbcgiFnX8v/FXlq0C/fv1QXl6I8+d/Rk3NVdjZDYS//3wMGxbIfqwyDCoD4Y0bOTA1PY3XX18Ab29vgxc8dXZkyleqP+fK51+ppaUFn332GSZOnIiQkBDk5uYiLi4O//jHP7Bp0yaj+xlXtWLFCmzfvh1z5szB/Pnz271/4cKFHKyKdIYCYB+kUCiQn5/fKhCam5tDJBLBxcUF+/fvh0AgwO+//97qDofqLoymijmuA6Gx7Jp1FAiV7zfGOcSq4dtQ69dlNWfbKnF14bumpubfBSO5uHatHkLhCAwZEggbm0E6f2wtLc347bf1aGw0wd/+tgY2Np23eVEtrFGt8lUoFCguPo8LF46ivv4aHnvMGWPGPA8XF99W/31FRREqK3/Biy9GYsKECXq/36pu/R0dmfKdcudYWWxmamoKuVyOy5cv4+mnn0ZFRQX7fTljxgy89NJLCAsLw6BBuv/+MZRJkyYhNTUV6uKEQCBoN+aU8AMFQIKWlhakpaVh1apVOHv2LPz9/SGTyTBmzBh2h3D48OHtftlrCoS62oXpCmNuSg20Xr8qQ73o6gJfwnfbak5tA2FXq8Sbmppw7tw5SCSZuHy5EjLZUAwePA79+w/V2ePOyNiBsrJLEIn+A0OHdnyhXvWPir8aO7dfh0KhwNWr2bh8+RgaGkrg4OCGMWNewKBBI1FXV4Hr1w9j7lwfzJv3XIcTiQC0ei51cSdTJpOhvr7eKH+GgdY/A1ZWVu3uKz548ADx8fG4c+cO7OzskJeXh5KSEgCAt7c34uLi8Oabb3KxdNIHUQAkOHr0KBYvXozGxkZ8/vnnmDdvHvLy8tgdwoyMDAwcOLBVUcnQoa1f5Dp60dV3k1U+N0XWhrpCFeVfzYaqMu7p+vl8ZK1sptzR7rWy2EkgEHS50EAul+PSpUuQSk8hL+8mamvt4eQUCAeHkRAIur/7WVBwDGfPHoK3dxTGjJnW6WNUPfLVJow9muxxEleu/I6mpkfj5fr3fwxTprhgyZKXNO68qQZNXbXx6WwqhjFQjnTT9DNQWFiI6OhoeHt7IzExEXZ2dgCA0tJSpKWlITU1Fd7e3lixYgUXyyd9EAXAPk4ul2Ps2LEYOnQodu3ahcGDB7d6v/KF5fTp0+yUkpMnT8LR0ZFtSh0eHg4XFxe1gVDTPS1dVHIae1NqQPs5voZuO6OtnvRW5FJn1xk0tUTqiLIaPz39FLKy/kRVlTUcHALg5OSj9YQRpXv3CiEW/wsODsGdVhsrFI9m+QLaN3ZW1dIiw8WLUly58jM8PYXYtWsHHntMu4kiQM8nbHRnqgefaDPS7ejRo3j11Vfx5ptvYu3atby41lFXV4cPPvgAWVlZyM7ORnV1NRITExEbG8v10oiBUAAkqKiogL29vVa/dJWhKycnh90hzMzMxJAhQ1oFQkdHR42BUBetPYw1eCipHvl2Z44vHwIhn9pzdEfb7yETExO1LZG60zS9vLwcJ0+eRFraJdy92w92dqMxeLA/+vWz6PS/bWx8gF9/XQ+h0BkzZ66EmZn6ZvHaHvlqo6hIAju7y3jttefx+OOPd+v/obqujn7WVZ9P5ZEpoPtiIUPoLLzK5XJs3boVu3btwv79+zF9+nTe/J4qLi6Gh4cHhg8fDnd3d0gkEuzZswcvvvgi10sjBkIBkPSIMshkZmaygTAnJwdubm4ICwtj/3FwcNBZINR1U2dD01V7FFWGDIRtwysfqqy7qrMqZU1N09uOVexsIkRVVRUyMzMhkZzDjRtyWFr6YMiQAJib26j9+EfNnt9FdXUtpk17EwMGuKj9uO4c+Wpy+3Y+GhulePXVpxAY2HF/we7o6DQAePScmpubd2v3kkudjXS7f/8+Xn75Zdy9exfJycnw8PDgYpkaNTc3o7q6Go6Ojjh9+jTGjx9PAbCPoQBIdEp5n+3UqVNsIDx9+jRGjhzJ7g6GhoZi4MCBHQZCTcdIzc3NaGlpMdoKWUNNVNFXIOwN9y27M05Mm0CoLCpR93zU1tYiOzsbYnEOrl9vQL9+XhgyZBysrFr3EszJScSff55CUNA/MGKE+pm7PT3yVaUc8xYdHYRZs2Z1+//TFap/AAmFQvaOJtCzI3hDUf051vQHUH5+Pl544QVMnDgRO3fuhLW1YWZFd1dubi6CgoIoAPYxFACJXilbIqSnp7NTSs6cOQNvb2+2qEQkEqF///5aB0LlcZeh58X2hGqhBxeX3HURCFUvuRvjfUtd3jVTLSppOxGioxFhjY2NOHv2LE6cOIXCwgdgGDcMGTIetrZOuHYtDdnZifDwmIOgoGfUfk5dHfk+WstDXL16CNOnD0Fs7EKDFO7I5XLU1dUBaL1739FUop7O4NWlzvoTMgyDb7/9FvHx8XjvvfewdOlSXobYtigA9k0UAIlBMQyD2tpapKWlsUUl58+fx6hRo1rtENrY2EAgEKC+vh6bNm1CTEwM3N3d0a9fP/bFQknXrSh0re1EEj70NetqY2ouw6suKNuL6GvntaNAqC5gt7S04MKFC0hJyUB+/j3U1vbH1atS9O8/BlOnvqZxHrcujnwBQC6X4fLlZAQECPD66y8bZIdK+QeENtcGerrjqg+qf0Co+zmWyWTYsGEDkpOTcfDgQYSFhRnNzwkFwL7JuP6EJ0ZPIBDA1tYWs2bNwqxZs8AwDB48eMAGwn/+85+4ePEiRo8eDW9vb2RkZKCsrAwBAQHw8/Nr1ShZtRVFY2Mj+zlU72hx2SaFjxNJlFRfSIH2gVD1+VQy1iNf1cbUVlZWelm/QCCAqakpu6PVtnee8vlUDYT+/v7w9/fHlStXsG/fAdy7ZwFHx8dQVXUN9vYj2HW2PfLt6U4dwzD488/jcHOrw6JFcXoPf92Z6qEcSae6Q6j68668v2mooifV+342NjbtvgZ3795FbGwsZDIZcnJyMHToUJ2vgRBdox1AwisMw+Du3btYuXIlDhw4ACcnJ1hbW2PQoEFsD8Lg4GC1Ry/qdrQAbgIhX5oid5dCoUBjYyMbPJS4bjvTFXz6GnT2/WliYoKSkhKcPJmF7OxruH/fFoMGBWDgwJFQKBidHPkqlZZmo1+/XCxbFgVvb+8e//86oq+pHoZqTq3aakrTndHc3FzExMTgySefREJCAszNzbv9+bhCO4B9E+0AEl4pKirCokWLkJ2djbfffhvvvPMOHj58CKlUCrFYjNWrV6OoqAjjxo1jj4yDgoJgbm6u1Y6WvgNM296E6nYL+E5dlTIATp7P7lK9r8iHr0FnO65NTU1wdnbG3LlPIzT0DjIzs5GR8Qfy8zPg4BCAwYP9dfK8VlQUoakpGzExU/Ue/lSneuj6a6Bux1XTDnZPmlMrR7qp2/1mGAZ79+7FunXr8OGHH+Lll1/mxfc+IdqiAEh45X//939x7949pKenIyQkBAAwaNAgzJs3D/PmzQPDMLhz5w4kEgkkEglWrFiB0tJSBAUFsWPrAgMDYWZmZvBAaOy9CYHW7VGsra1b3ZXT9siYyyN4rotttNVRIHRxccHTT89BaGgIMjOzcOpUJi5ezEX//mMwePBojX0BO1Nbew+3bx/H3Ln+CAsL0+XDacVQx+6qOno+5XJ5qzGL2vQd7WykW1NTE9566y0cP34cx44dQ1BQkF4fHyH6QEfAHHnllVewe/duzJ49Gz/99BPXy+ENmUyGpqYm2Nio75PWFsMwuHXrFttyRiqVory8HMHBwWwgDAgIaDeFoKMiiI6qODtatzH3Jmz7ot3VFjt8OILX13GjobTdPbawsIBcLkdlZSUyMzORmpqH8nLAymoUhg4NgIWFrdZVsc3N9bhy5SDCwwdi8eJYvT03fJ3qoU3fUeW/lff9NI10u3nzJmJiYmBjY4MDBw7A0dGRi4ekU3QE3DdRAORAbm4uJk6ciH79+mHq1Kk4cuQI10vqNRiGQVlZGcRiMcRiMdLS0nDv3j2EhISwk0rGjBnTrgpU052izqoOexqc+EAfd+UMGQj5PotYG53tHiuLpbKyspCSkoPi4kb06+eFwYPHwspqAFs0oS4QPpr5+x28vRuxfPli9O/fXy+PobPGyHyiTXNqCwsLMAzDXoFgGAbp6emIjY3FwoULsW3bNl4/Rm3s2LED1dXVKC8vx86dOzF37lyMGTMGALB8+XJ2XjHpnSgAGhjDMAgNDcWoUaPwxx9/wM/PjwKgHjEMg+LiYjYQpqam4sGDB5g4cSJbVOLn59cuMHTW5025o9jY2MiLIoPuMGRw0lcgVL2nZazH7l0dqdfY2IicnBycOJGJq1cfAnCHi0sALC0HAkC7MFhUdAIODtexYsVLeqlOVf0+4lu1u7ZUG5yrNqd+5pln8PDhQ0ycOBGmpqb4v//7P3z11VdYsGCB0X2fqePu7o6SkhIAaNVhQSAQ4Pr163B1deVyeUTPKAAa2N69e7F8+XJcuXIFwcHB8Pf3pwBoQAzDoKioCCkpKZBKpZBKpaivr0doaCh7ZOzj49NhIFTtSwY8CjDKxtTG8sLH9X1FXQRCY59F3NPgJJPJcO7cOaSknMSlS5VoaRkGF5cAWFs7sQGmvPwcgCy8+uoz7M63roueOiqUMAaqzalVdy4VCgUOHjyIlJQUZGRksEHJy8uL/V0RERFBIYkYLQqABlRTUwMvLy/Ex8dj9erVcHNzowDIMYVCgcLCwlY7hC0tLRCJROwv+SeeeIJ9YS4uLsbOnTuxZs0amJmZQSgUdji5gI+BkI/BqSuBEIDRzyLW5c6lXC5Hfn4+UZwQXgAAIABJREFUxOIMnD9/B42NTnBxGQeGUeDOnZ8RHR2CsLCwVnfe2k7X6O7n7ahQwhh01pz62rVriI6OhqurKz744APk5+cjNTUVUqkU+fn5EAgEqKysxIABAzR8BkL4iwKgAb311lv4/vvvcfnyZZiamlIA5CGFQoFLly6xRSWpqakwMTGBSCSCo6Mj9u/fDzs7Oxw/fhzDhw9v9d+pm1zAp9mmxnRfsaNAKBAIwDAMTE1NYWFhwdvHoInqZBhdBieFQoErV65AKs3AmTNlqKlh8NRToxAVNR8CgaDd92jb+buq91w7o9pmxxjvXKr+LKirFmcYBsePH8fixYuxbNkyvPPOO+0eY2VlJc6ePYupU6caevmE6AQFwG5QDpTXhoWFBQCgsLAQfn5+OHDgAJ599lkAoABoBBQKBTIyMrBixQqcOXMGY8eOxcOHDxEYGMjuELq7u7d70eRbIFS942Ts9xXb4vsoQCVD3ZVjGAbXr19HUVERwsPD1TYmVhZBdDUQGkubnY50VqmsUCjw0Ucf4b/+67+QmJiIOXPm8OoxNjU1YePGjdi3bx+qq6vh7++PLVu2UBAlXUYBsBskEgkmT56s1ccWFBTAy8sLM2fORFNTE1JSUtj3UQDkv9TUVCxatAgPHjzAl19+ifnz5yMvL4/tQ5ieng5bW1uEhYWxjamHDx+uphJT87D7ru6+dIVyhqxyt8bS0tLoKheVf3A1NTWxO5cCgaBVxTbfZ0MbQ7FK2zYpbb9HhUIhmpqaeDXTuqs6q1R++PAhlixZgmvXruG7776Dl5cXF8vs0AsvvIDDhw8jPj4enp6eSExMRE5ODsRiMUJDQ7leHjEiFAC74c6dOzh27JhWH/vMM88gNzcXU6dOxXfffceW2AOASCTCE088gd27d2PgwIGwtbXV15JJNygUCowfPx42NjbYu3dvqyNfJZlMhrNnz7JHxhkZGbC3t2cDYUREBIYMGaIxEGp6se3p/Syg9+3WdFRk0LbxL58CobHelVP9HlXdIVSthOf6WoO2tNl9LSgoQHR0NPz9/bF7925e/j7Ozs7GhAkT8NFHH2HlypUAHu0I+vr6wtHRERkZGRyvkBgTCoAGsGfPHsTFxXX4MQkJCVi+fLlB1pOamoqPPvoI586dw71792BnZwdfX1+8+eabmDlzpkHWYCzu3LkDBwcHre44KXfbTp8+zQbCU6dOwcnJqVUgdHZ27jAQajqO60ogVL1nZqy7NarNtbvaV44PgbA3tEdR3X01MTGBmZmZ2l1sPhc+qf4hpKnH4pEjR7B06VK8/fbbWLVqFe8eg9Lq1auRkJCAqqqqVs3yt23bhnXr1qGsrAxDhgzhcIXEmFAANICysjKcPXu21dsYhsGSJUvg5uaG9evXw9fXFx4eHgZZz+7du3H06FGMHz8ezs7OqKqqwv79+5GXl4d9+/YhJibGIOvo7ZQBIDs7mw2EWVlZGDp0KHtcHBYWBkdHR60DYWcVnG1fsI01dOh6lJihA2FnocMYaHNXTt09186apxv6MdTV1WmcDtPS0oLNmzfjm2++QVJSEqZOncrrr9O0adNw69Yt5Ofnt3r7iRMnMG3aNPz000+YPXs2R6sjxoYCIIf4dAewoaEBHh4e8PLyglQq5Xo5vZIy2GRlZbGBMDs7G+7u7mwgFIlEcHBwaLdDoenCvuoYK6FQyBZ6GHNPNl1PJVFHn4HQWI98VXVnqgffAqFMJutwpFtlZSXi4uJw//59JCcnw83NTe9r6ilfX1+4uLjg+PHjrd5+6dIl+Pr64r//+7/xyiuvcLQ6YmyM6zZ4L8OnF2dLS0s4ODgY5YuVsRAIBLC0tERkZCQiIyPZXaKTJ09CLBbjiy++wMsvvwwvLy82EIaGhmLAgAFsGDEzM2sXCJubm1uNsVI2pTY2qq1FbGxs9NpaRDWUAO0DoWq1sbaBsO1kFX0/Bn3oybG1cgKJ8ndI22k6yuP87s7b7spjUC0aUreDnJeXh+joaERGRuLHH3+ElZWVzj6/PjU0NKit6lZ2m1A+x4Row/heJXqR69evc/r5Hz58iObmZlRUVGDv3r0oLCzEBx98wOma+hKBQAArKytMnToVU6dOBcMwqKurQ0ZGBsRiMRISEhAbGwtvb2+2MbVIJIKdnR0bRpqbm7F3714sXLiQ3V1paWmBTCYDgFbHxXypiG2LD8UqPQ2EveHIV9eVygKBAKampu0CofJ5VX6PCgSCdncIu/t5O5tMwjAMDhw4gDfffBNbtmzB66+/blRfJ0tLS7UtyJTfn5aWloZeEjFiFAD7sAULFuD3338HAFhbW+PQoUNUBMIhgUAAGxsbzJgxAzNmzADDMKipqUFaWhrEYjE+/PBDLFq0CL6+vggLC4OHhwe2b9+OmzdvIiIiAr6+vmwYUb1D2NzczL5o8C0Qqh6X8qlYpSuB0MTEBAqFAgzDwMLCQu0ODd8Z4ti6s0CofE67Gwg7ewzNzc1Yv349fvjhB/z0008IDQ3l/Pu/q1xcXFBeXt7u7bdu3QIADB482NBLIkaM7gAaue40pVbKy8tDRUUFSktLsXPnTpw/fx5HjhzBtGnT9LFU0kMMw6C6uhqpqan45JNPkJaWBldXV3h6emL06NEIDw9HSEhIuyOvtoFQ9b4bV4Gw7XGpsU2TUIaX5ubmVs8nwH3bma7iy1QPbcYBanpOO3sMt2/fRmxsLADg4MGDRhuUVq9ejU8//RRVVVWt2tRs3boVGzZsoCpg0iUUAI1cd5pSqyOTyRAQEICmpiYUFhbqcolEh+7cuYO///3v+PXXX/HGG29g9erVyMzMhEQigVQqRWFhIQICAtg7hMHBwWrbXmgKhKp3s/QVXoyhKXJn2h5bW1hYtGv2rcTXQNjZODSuaRMIhUIhZDKZxusDDMMgOzsbixYtwrPPPouPP/6YN7vM3aHsA/jhhx9i1apVAP7qAzho0CCcPHmS4xUSY0IB0Mh1tSm1nZ2dxvevW7cO27ZtQ1VVFR577DFdLZHo0PTp05GXl4c9e/a0O65nGAYVFRWQSCQQi8WQSqW4du0axo8fzwbC8ePHq70XJZfLW73YKuk6vOhrDq4haXNs3dlzqu+Q3RnVFi+WlpYwNTXlVfhTp6PKbWXxSWlpKVxdXWFhYQGGYfA///M/2LhxIz799FPExsby/jFqIyoqCt9//z3i4+MxYsQIfPPNN8jNzcWJEycgEom4Xh4xIhQACSs+Ph6fffYZqqurOwyKunbixAkkJSUhPT0dN2/ehLOzMyZPnozNmzfD2dnZYOswBlevXoWdnR2cnJw6/ViGYXDnzh02DEokEpSVlSE4OJgtKhk3bly7F39tWqR09bJ+b2iKDHT/uJRPgVC1wba1tbVRHb0rtbS0oK6uDsCjqnflkbxIJEJ5eTn7fX358mUkJyf3qhFpTU1NeOedd7B//37cv38fo0ePxubNm+nqDukyCoB90N27d+Ho6Njqbcqh4gMGDEBeXp5B1zNu3DhUV1dj/vz58PT0RFFREXbs2AErKyucO3dOq7BDOscwDMrLyyEWiyEWi5Gamopbt25hwoQJCA8PR3h4OMaOHduuwbQ2R3EdBUKFQoGGhgaNlZnGQNeVylwEQm3aoxgDZQhv+4cEwzDIycnB8ePHcfz4cZw/fx5NTU0wNzdHcHAwIiIiEBERgbCwMKM+BiZEVygA9kGBgYEYNmwYgoKC4OjoiNLSUiQmJuLevXv45ZdftL5TqCvp6entji7S0tIQERGB9evXY/PmzQZdT1/BMAzKyspaBcKKigqEhISwgXD06NHtegpqCoTqqjeVx6UA2KNGY2OISmV9B8LeFsI1jXRLTU3FSy+9hL///e/YtGkTLl26BKlUCqlUitTUVDx48ABVVVUGPeEghK8oAPZBX3zxBQ4cOICCggJUV1fD3t4eIpEIb7/9NgICArheHsvBwQGTJk3Ct99+y/VS+gSGYVBcXIyUlBS2qKSmpgYTJ05k5xj7+vq2OzLsaIcQeHQ/y8LCokuzjPmCqwpZXQbC7kz14Ju2dxbbhnCFQoEdO3bgX//6F7766ivMmzdP7XjFa9euYeTIkYZcuka3b99GQkICsrKykJubi7q6OojFYkRERHC9NNJHUAAkvFRbWwt7e3vExcXhyy+/5Ho5fZLyBVM1EDY0NCA0NBTh4eGIiIiAj49Pu7t8paWlMDExgY2NDduXEND/BAhd4kNz6rbr6Wog7C33LlUDrLo7i3V1dVi6dCny8vJw+PBh+Pr6crHMLlN2cPDy8oK9vT1OnToFiUSC8PBwrpdG+gjj+1OQ9AkJCQmQyWSIiorieil9llAoxMiRIzFy5EgsWbIECoUCV65cYY+MP/roIygUCragJDw8HAUFBVi2bBlmzpyJnTt3ol+/fh1OgOBiRmxn2h758qFCVvW5Mjc3bxcIlXf7gL8CofI5N+ZWO8oA269fP1haWrYLsEVFRYiOjoaHhweysrKMqnvBuHHj2I4LycnJOHXqFNdLIn0MBUCiUz1pTK2UmpqKTZs2ISoqCpGRkTpcHekJoVAIb29veHt74/XXX4dCocClS5cgFotx4sQJrFu3Do2NjQgJCUFAQAB73KZs0aHtjFjlPwKBwOChxZDziHuio0Aok8la/QwqFAq28INPfQg7oroDq2mk22+//YYlS5ZgxYoVWL9+vdHtbtrY2HC9BNLHUQAkOiWVSnvUmLqgoADPPvss/P39sWvXLn0skeiIUCiEr68vzM3NkZiYCIVCgTVr1sDR0RFSqRRbt26FpaUlwsLC2D6E7u7uHQZCTTuEyiNjfeF7U+TOKJ8rhUIBuVwOgUDA9sLTtEPI10DY2Ug3uVyODz74AF9++SX27t2LWbNm8e4xEGIMKAASnfL29saePXu0+ti2Pf7Kysowffp0DBgwAL/88gusra31sEKiS7m5uZg0aRJcXFyQmZmJsWPHAgBWrlyJlpYW5OXlQSwW49dff8X69ethZ2fHBsKIiAi4urpqnBFrqEDIxyPfruoowGp7ZMyHQCiTyVBfX69xB7a6uhpLlixBWVkZMjMzeVPQQYgxoiIQwguVlZUQiUSorq5Geno6RowYwck6qDKva5qbm/H+++9j5cqVrWaTqiOTyXDmzBm2MXVGRgbs7e0RHh4OkUiEiIgIDBkyRG31pmrxg0KhAPBoB7Jt25muUg0cxjaPWEm1QtbCwgJmZmadhjg+NaZWrqezHoWXLl3CCy+8gPHjx+Orr77i1RFqT6++JCcnY8GCBVQEQgyKAiDhXF1dHSZPnswWGCh3kbhAlXmGwTAMZDIZcnNzIRaLIZFIcOrUKTg7OyM8PJw9MnZ2du5SIGxbZdzR5zfmI18l1akePWnx0tF8aNWQrY9A2FmPQoZh8MMPP2DZsmXYuHEj3njjDd7d9+vpTHYKgIQLdARMOBcTE4OcnBzExcXh4sWLuHjxIvs+W1tbPP300wZbC1XmGYZAIICZmRkmTpyIiRMnYt26dWhubkZWVhYkEgn27duHZcuWYdiwYWyVcVhYGBwdHSEUCtl7hADY4KIMhc3NzQD+CoSqVcZA6yNfbXfM+Kbtjpm6CtmuUDbxNjExYY+MVQOh6pGxLgOhXC5nR7qpu+/X0tKCd999F0lJSTh8+DAmTZrEy69VT66+EMIV2gEknHN3d0dpaSnUfSu6ubnh2rVrHKyK/irnknKHLjMzk90hzMnJgYeHB7s7KBKJYG9vr3aHULXKWHWHUCgUoqWlBQKBwGjn4HIx1UMfO4SqFdfW1tbtAmxFRQVeeukl1NXV4dtvv4Wrq6tOHxOf0O8awgXaASScu379OtdLIDwjEAhgaWmJSZMmYdKkSWxbkIyMDEgkEnz++eeIi4uDl5cXGwhDQ0MxYMAACIVCmJmZsdMilG1QVIMLwzCor69v13aG79pO9TDUaD1d7hBqc/x+9uxZxMTEYNq0adi+fTssLS0N8jgJ6UsoABJCeE8gEMDKygrTpk3DtGnTwDAM6urqkJ6eDrFYjE8//RSxsbHw9vZuFQjt7OxQXFyMRYsW4bXXXsP8+fPRr1+/Vk2plUfGyoDDx0DIt6ke3Q2EAoEADQ0NGgtWGIZBUlIS1qxZg23btmHJkiW8+jro2pYtWwCAvfayd+9epKamAgA2bNjA2bpI30BHwKTXosq8voNhGDx8+JANhFKpFBcuXMCwYcNw9+5d9O/fH19//TVEIlG7wNG27YzyVyJfAqFqU2RjmerR0ZExAJiamrIBVvmz19zcjLVr1+Lo0aM4dOgQQkJCDL5uQ1NOv2EYpt3YxLYztQnRNdoBJL1WT5tSE+MhEAjQv39/zJ49G7Nnz0ZTUxPi4+Px5ZdfYtSoUbCxscHTTz+NMWPGsH0IQ0JC2J005ZGxMrho2iFUrTI2RAhr26NQeazNd6o7hGZmZuyOoPLtMpkMmZmZiI6ORmBgIMaPH48TJ06gf//+yM7OhouLC9cPwSCU91MJ4QIFQNJrUWVe31RSUoKoqCicOXMGCQkJWL58OQCgqqoKUqkUYrEYGzZsQGFhIQIDA9mm1EFBQbCwsGgVXFR3suRyOZqbm1vtEOqzPYqxjKXriKbdS4Zh4OPjg3feeQcpKSnYtWsXamtrYW5ujujoaERGRiIyMhLBwcEaR0YSQnqGAiDptZycnPDiiy9yvQxiYHfv3sX9+/eRnp6OoKAg9u329vaYO3cu5s6dC4ZhcO/ePUgkEojFYqxatQrFxcUYN24c23ImKCgIZmZmbCAE2h9tNjc367w9Sm/pUahQKFBXV6d291IgEGDIkCGwsrLC6dOn8fnnn8PPzw9SqRQSiQSfffYZ3n33XTz11FP48ccfOXwUhPRedAeQEA0MfQewqakJGzduxL59+1BdXQ1/f39s2bIFU6dO1fvn7m3kcnmXdswYhsHt27chkUjYf27cuIHg4GC2qCQwMLDdmLi2gVAul/doh7A7Uz34SNmgWlm80/Zr0dDQgBUrVuDkyZNITk5u1/xdoVDgwoULaGlpQWBgoCGXrtGJEyeQlJSE9PR03Lx5E87Ozpg8eTI2b95MJwjEKFEAJKQN1cq8gwcPIi4uDm5ubgD0W5n3wgsv4PDhw4iPj4enpycSExORk5MDsViM0NBQvX1e0h7DMLh58ybEYjHEYjHS0tJw+/ZtTJgwgQ2EY8eObXcXsKPih85GrLVt8dLdqR5c0makW0lJCWJiYuDo6IikpCTY29tztNquGTduHKqrqzF//nx4enqiqKgIO3bsgJWVFc6dOwcnJyeul0hIl1AAJKQNLirzsrOzMWHCBHz00UdYuXIlgEc7gr6+vnB0dERGRoZePi/RDsMwKC0tZQNhamoqqqqqEBISgvDwcISHh8Pf379daOssECpH1imPk3Ux1YMryt6KHY10E4vFiIuLwyuvvIL33nvPqO41pqenQyQStXpbWloaIiIisH79emzevJmjlRHSPRQACeGB1atXIyEhAVVVVa2G3G/btg3r1q1DWVkZhgwZwuEKiSqGYXD9+nWkpKRAKpVCKpWipqYGEydOZItKfH192wUchmEgl8tbzTJWUo6301dRiT6pViura1CtUCiQkJCATz75BLt378YzzzxjVI+vIw4ODpg0aRK+/fZbrpdCSJcY3xkDIb3Q2bNn4eXl1Sr8AcD48eMBAOfOnaMAyCMCgQAeHh7w8PDA4sWLoVAoUFRUhJSUFEgkEmzfvh1NTU0IDQ1FeHg4IiIi4O3t3Wo+cV5eHiorKzFx4kSYmpq2Oj4F/tohVO4S8jUwyWQy1NfXa6xWrqmpwWuvvYbLly8jIyMD3t7eHK1U92pra1FTUwMHBweul0JIl1EAJIQHbt26pbb3mfJt5eXlhl4S6QKhUAhPT094enriH//4BxQKBQoKCtgq4w8//BAKhQIikQhhYWF4+PAh3n//fYSFhWHGjBnska9yh1C5O9jY2Ajgr756fAqE2lQrX716FdHR0Xj88ceRlZUFOzs7jlarHwkJCZDJZIiKiuJ6KYR0GQVAQnigoaEB5ubm7d6u7IHW0NBg6CWRHhAKhfDx8YGPjw9ef/11KBQKXLx4Eb/99hsSEhJQVlYGkUiEgQMHIjExEeHh4RgxYkSrHUKAv4Gws2plhmHwyy+/4NVXX8WqVauwdu1aXt1r7OmUIABITU3Fpk2bEBUVhcjISB2ujhDDoABICA9YWlqqfUFSvuBbWloaeklEh4RCIczNzbF3715UVlZi3759GDVqFCQSCf744w/853/+J6ysrCASidiiEnd3dwgEAq0DoWqVsT4DoWq1srW1dbvCF7lcjvfffx9ff/01kpKSMGPGDM53K9vq6ZSggoICPPvss/D398euXbv0sURC9I4CICE84OLiovaY99atWwCAwYMHG3pJRIcePHiAkJAQDBo0CNnZ2Rg1ahQAYOzYsYiPj0dLSwvOnTsHsViMo0ePYt26dejfvz87ti48PByurq5qA6Gy/6BydB2AVh9nYmKis0ConE5iYmLCjtFTdf/+fSxevBi3b99GZmYmRowY0ePPqQ89mRJUVlaG6dOnY8CAAfjll19gbW2thxUSon9UBUwID6xevRqffvopqqqqYGtry75969at2LBhAydVwHV1dfjggw+QlZWF7OxsVFdXIzExEbGxsQZdR2/x888/IyIiotXXVxOZTIYzZ85ALBZDIpHg5MmTsLe3Z6eUREREYPDgwe1CXdtAqGxbpBoIlb0LuxIINY10U5Wfn4/o6GiEhIRg586dvTIYVVZWQiQSobq6Gunp6bwNuIRogwIgITyg7AP44YcfYtWqVQD+6gM4aNAgnDx50uBrKi4uhoeHB4YPHw53d3dIJBLs2bOHxusZGMMwkMlkbFNwiUSCzMxMuLi4IDw8HCKRCBEREXByctIYCJVhUFMg7Oh+nup9v7Yj3ZSfIzk5GStWrMCmTZuwbNkyXt3305W6ujpMnjwZV65cgVgsbje9hBBjQwGQEJ6IiorC999/j/j4eIwYMQLffPMNcnNzceLEiXYNaA2hubkZ1dXVcHR0xOnTpzF+/HgKgDygLGDIzs5mA2FWVhZcXV3Z4+KwsDAMGjSow0DY0tIChUIBQHMg7Gw6iUwmw8aNG3Ho0CEcOHAA4eHhvLvvpyvPPPMMjhw5gri4uHZFH7a2tnj66ae5WRgh3UQBkBCeaGpqwjvvvIP9+/fj/v37GD16NDZv3oxp06ZxvTTk5uYiKCiIAiAPKduxnDp1ig2Eubm5GDFiBHuHUCQSwd7evl04UygUrYpKVAOhUCiEXC6HUCiEtbV1u129u3fvIjY2Fs3Nzfj2228xdOhQgz1mLri7u6O0tBTqXjLd3Nxw7do1DlZFSPdRACSEdIoCoPFQjmQ7efIkGwjPnDmDxx9/nN0hDA0NxWOPPaY2EDY1NbUKg8q3v/vuuwgJCUFkZCRu3ryJmJgYzJo1CwkJCRpbpRBC+IuqgAkhpBcRCASwtrbGtGnTMG3aNDAMg9raWqSnp0MsFuOTTz7Biy++CB8fH7btjEgkgq2tLQoLCxETE4O33noLzz33HExMTNDS0oLS0lJIpVK25YmFhQUmTJiAKVOmoKamhgIgIUaIAiAhhPRiAoEAtra2mDlzJmbOnAmGYfDw4UOkpaVBLBZj27ZtyM/Px/Dhw1FeXg5HR0d4enqy1cJmZmYYOXIksrKysHr1aly9ehUDBgzAxYsXsWDBAgCAr68vpkyZgk8//bTX3gEkpLehAEgIIX2IQCBA//798eSTT+LJJ59ES0sL1q5di48//hg+Pj7s7uGYMWPYljPDhw/H4sWLYWVlhUOHDsHR0REAcOPGDUgkEkgkEpSUlFD4I8SI9L5afUIIIVqpqqrCnDlz8Mknn2Dr1q24cOECsrKycOPGDbz11ltoaGjA2rVrMXr0aPj5+eH3339nwx8ADB06FAsXLsSuXbvw/fffc/hI2ktNTcVTTz0FV1dXWFpawsnJCVOmTMGvv/7K9dII4QXaASSEGIWcnBx88803EIvFKCkpgb29PSZMmIAtW7bA09OT6+UZpdLSUly4cAG//fYbpk+fzr7dwcEBzz33HJ577jkwDIP8/Hz4+PjAxMSEw9V2zdWrV9GvXz+89tprcHZ2RlVVFfbv34/Zs2dj3759iImJ4XqJhHCKqoAJIZ3iQxXwvHnzcOrUKcyfPx/+/v64desWduzYgdraWmRmZrLj1UjXNDU1wdzcnOtlGERDQwM8PDzg5eUFqVTK9XII4RTtABJCNNqxYweqq6vZOcVHjhxBaWkpAGD58uWws7Mz2FpWrVqF8ePHt2pGHBUVBT8/P2zbtg379u0z2Fp6k74S/gDA0tISDg4OMDU15XophHCOdgAJIRq5u7ujpKQEANgL/gzDQCAQ4Pr163B1deVyeQCAwMBACIVC5OTkcL0UwkMPHz5Ec3MzKioqsHfvXnz88cf44YcfMHPmTK6XRginaAeQEKLR9evXuV5ChxiGwZ07d+Dn58f1UghPLViwAL///jsAwNraGocOHaLwRwioCpgQYsSSkpJQXl6OqKgorpdC9Eg57k6bf9r617/+hePHj2P37t3w8fHB888/j+PHj3PwKAjhFzoCJoQYpYKCAgQHB8PPzw9paWnUg64Xk0gkmDx5slYfW1BQAC8vL7Xvk8lkCAgIQFNTEwoLC3W5REKMDh0BE0KMzu3btzF79mwMGDAAycnJFP56OW9vb+zZs0erj3V2dtb4PlNTU8yZMwfbtm1DdXU1HnvsMR2tkBDjQwGQEGJUHjx4gJkzZ7LjzDp6wSe9g5OTk87aDzU0NAAAhEK6AUX6NvoJIIQYjcbGRsyZMwd//vknfv75ZzzxxBNcL4nw1N27d9u9rbq6GocPH4afn59BWxgRwke0A0gIMQpyuRxRUVHIysrCjz/+iODgYK6XBAC4ePEi3n33XZw5cwbjKJ8iAAAEtklEQVS3b9+GhYUFHn/8cSxdupSmTXBo5syZGDZsGIKCguDo6IjS0lIkJibi3r17Wh8nE9KbUQAkhBiFVatW4aeffsKcOXNQUVGB/fv3t3r/woULOVlXaWkpamtr8dJLL2Hw4MGor69HcnIyFi1ahOLiYqxfv56TdfV1L7/8Mg4cOICEhARUV1fD3t4eIpEIb7/9NgICArheHiGcoypgQohRmDRpElJTU6HuV5ZAIIBcLudgVeopFAoEBgaiqqqKbaRNCCF8QjuAhBCjIBaLuV6C1oRCIYYOHYqamhqul0IIIWpRACSEEB2or69HfX09Hjx4gCNHjuDYsWPYsWMH18sihBC1qAqYEEJ0YOXKlXB0dISnpyfWrFmD7du3Y8mSJVwvyyi98sorEAqFmDNnDtdLIaTXoh1AQgjRgfj4eCxYsADl5eVISkrCsmXLYGlpidjYWK6XZlRyc3PxzTffwMLCghp8E6JHVARCCCF6MGPGDGRnZ6O8vByWlpZcL8coMAyD0NBQjBo1Cn/88Qf8/Pxw5MgRrpdFSK9ER8CEEKIHzz33HB48eIArV65wvRSjsW/fPly6dAlbtmxRW+1NCNEdCoCEEKIHNHKsa2pqarBmzRqsW7cOTk5OXC+HkF6PfjMRQkgP3Lt3r93bZDIZ9u7dC3t7e4waNYqDVbX3z3/+E0KhEH5+flwvRa333nsP1tbWiI+P53ophPQJVARCCCE9sGTJEtTU1CA8PByDBw/G7du3kZSUhMLCQiQmJsLExITrJeLGjRvYunUrrK2t9V5YwTAMmpqatPpYCwsLAEBhYSG2b9+OAwcOwNTUVJ/LI4T8GxWBEEJIDxw8eBC7d+/GhQsXUFlZCTs7OwQHB2PlypWYMmUK18sDADz//POorKxES0sLKioqcOHCBb19LolEgsmTJ2v1sQUFBfDy8sLMmTPR1NSElJQU9n1ubm7w9/enIhBC9IR2AAkhpAeioqIQFRXF9TI0Sk1NxeHDh3Hu3DksXbpU7zuA3t7e2LNnj1Yf6+zsjJSUFBw7dgzfffcdiouL2fe1tLSgvr4eJSUlGDhwIGxtbfWzYEL6KNoBJISQXkoulyMgIAChoaH44osvEBkZiaqqKpw/f57rpbH27NmDuLi4Dj8mISEBy5cvN9CKCOkbaAeQEEJ6qZ07d6K0tLTV0SrfTJkyBT/88EOrtzEMgyVLlsDNzQ3r16+Hr68vR6sjpPeiAEgIIb1QZWUlNm7ciI0bN8Le3p7r5Wg0bNgwDBs2rN3b33jjDTg5OeGpp57iYFWE9H7UBoYQQnqhDRs2wMHBAf/xH//B9VK6hcbAEaJftANICCG9zNWrV/H1118jISEBN27cYN/e2NiI5uZmlJSUwM7ODgMGDOBwlR27fv0610sgpFejIhBCCOlltGnFsmLFCnzyyScGWhEhhG8oABJCSC9TWVmJ9PT0VseoDMNgw4YNqK2txWeffYYRI0bwZkoJIcTwKAASQkgfERkZicrKSr02giaEGAcqAiGEkD5CIBBQcQUhBADtABJCCCGE9Dm0A0gIIYQQ0sdQACSEEEII6WMoABJCCCGE9DEUAAkhhBBC+hgKgIQQQgghfcz/A3uyH5uZN5nSAAAAAElFTkSuQmCC",
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x11381610>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <mpl_toolkits.mplot3d.art3d.Path3DCollection object at 0x11b14450>"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_surface(xgrid,ygrid,zgrid,alpha=0.5)\n",
"scatter3D(x,y,z,color=\"r\")"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x,y = -3.0 + 6*rand(50),-3.0 + 6*rand(50)\n",
"z = sin(x.*y)\n",
"\n",
"S2 = PolyharmonicSpline(2,[x y],z)\n",
"\n",
"n=100\n",
"xgrid = ones(n)*linspace(-3,3,n)'\n",
"ygrid = linspace(-3,3,n)*ones(n)'\n",
"\n",
"xx = reshape(xgrid,n*n)\n",
"yy = reshape(ygrid,n*n)\n",
"\n",
"zz = interpolate(S2,xx,yy)\n",
"zgrid = reshape(zz,n,n);"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x11cd88d0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <mpl_toolkits.mplot3d.art3d.Path3DCollection object at 0x11b15310>"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_surface(xgrid,ygrid,zgrid,alpha=0.5)\n",
"scatter3D(x,y,z,color=\"r\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#N-D Splines\n",
"\n",
"Polyharmonic splines can also be done in N dimensions. \n",
"\n",
"```julia\n",
"S = PolyharmonicSpline(2,[x y z ...],values)\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.3.8",
"language": "julia",
"name": "julia-0.3"
},
"language_info": {
"name": "julia",
"version": "0.3.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
#=
The MIT License (MIT)
Copyright (c) 2015 Luke Stagner
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
=#
type PolyharmonicSpline
dim::Int64
order::Int64
coeff::Vector{Float64}
centers::Array{Float64,2}
error::Float64
end
function polyharmonicK(r,K)
if iseven(K)
return r < 1 ? (r.^(K-1))*log(r.^r) : (r^K)*log(r)
else
return r^K
end
end
function PolyharmonicSpline(K::Int64, centers::Array{Float64,2},values::Array{Float64}; s = 0.0)
m,n = size(centers)
m != length(values) && throw(DimensionMismatch())
M = zeros(m,m)
N = zeros(m,n+1)
for i=1:m
N[i,1] = 1
N[i,2:end] = centers[i,:]
for j=1:m
M[i,j] = polyharmonicK(norm(centers[i,:] .- centers[j,:]),K)
end
end
M = M .+ s.*eye(m)
L = [[M N],[N' zeros(n+1,n+1)]]
w = pinv(L)*[values,zeros(n+1)]
ivalues = zeros(m)
for i=1:m
tmp = 0.0
for j=1:m
tmp = tmp + w[j]*polyharmonicK(norm(centers[i,:] .- centers[j,:]),K)
end
tmp = tmp + w[m+1]
for j=2:n+1
tmp = tmp + w[m+j]*centers[i,j-1]
end
ivalues[i] = tmp
end
error = norm(values .- ivalues)
return PolyharmonicSpline(n,K,w,centers,error)
end
function PolyharmonicSpline(K::Int64, centers::Vector{Float64},values::Vector{Float64};s = 0.0)
PolyharmonicSpline(K,centers'',values,s=s)
end
function interpolate(S::PolyharmonicSpline,x::Array{Float64,2})
m,n = size(x)
n != S.dim && throw(DimensionMismatch("$m != $(S.dim)"))
interpolates = zeros(m)
for i=1:m
tmp = 0.0
l = length(S.coeff)-(n+1)
for j=1:l
tmp = tmp + S.coeff[j]*polyharmonicK(norm(x[i,:] .- S.centers[j,:]),S.order)
end
tmp = tmp + S.coeff[l+1]
for j=2:n+1
tmp = tmp + S.coeff[l+j]*x[i,j-1]
end
interpolates[i] = tmp
end
return interpolates
end
function interpolate(S::PolyharmonicSpline,x::Vector{Float64})
return interpolate(S,x'')
end
function interpolate(S::PolyharmonicSpline,x::Vector{Float64},y::Vector{Float64})
return interpolate(S,[x y])
end
function interpolate(S::PolyharmonicSpline,x::Vector{Float64},y::Vector{Float64},z::Vector{Float64})
return interpolate(S,[x y z])
end
@floswald
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hi @lstagner,
is this under any kind of license? I'd like to include this code in https://github.com/floswald/ApproXD.jl.
thanks

@lstagner
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Author

lstagner commented Mar 8, 2016

I can believe I missed this comment. I added a MIT licence so go right ahead.

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