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@yazdipour
Created August 7, 2019 19:24
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// 20190807235303
// https://raw.githubusercontent.com/yazdipour/kalman_opencv/master/myKalman.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D"
]
},
{
"cell_type": "markdown",
"metadata": {
},
"source": [
"## Measurement"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"Hz = 100.0 # Frequency of Vision System\n",
"dt = 1.0/Hz\n",
"T = 1.0 # s measuremnt time\n",
"m = int(T/dt) # number of measurements\n",
"\n",
"px= 0.0 # x Position Start\n",
"py= 0.0 # y Position Start\n",
"pz= 1.0 # z Position Start\n",
"\n",
"vx = 10.0 # m/s Velocity at the beginning\n",
"vy = 0.0 # m/s Velocity\n",
"vz = 0.0 # m/s Velocity\n",
"\n",
"c = 0.1 # Drag Resistance Coefficient\n",
"d = 0.9 # Damping\n",
"\n",
"Xr=[]\n",
"Yr=[]\n",
"Zr=[]\n",
"for i in range(int(m)):\n",
" accx = -c*vx**2 # Drag Resistance\n",
" \n",
" vx += accx*dt\n",
" px += vx*dt\n",
"\n",
" accz = -9.806 + c*vz**2 # Gravitation + Drag\n",
" vz += accz*dt\n",
" pz += vz*dt\n",
" \n",
" if pz<0.01:\n",
" vz=-vz*d\n",
" pz+=0.02\n",
" if vx<0.1:\n",
" accx=0.0\n",
" accz=0.0\n",
" \n",
" Xr.append(px)\n",
" Yr.append(py)\n",
" Zr.append(pz)"
]
},
{
"cell_type": "markdown",
"metadata": {
},
"source": [
"## Add noise"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"sp= 0.1 # Sigma for position noise\n",
"\n",
"Xm = Xr + sp * (np.random.randn(m))\n",
"\n",
"Ym = Yr + sp * (np.random.randn(m))\n",
"Zm = Zr + sp * (np.random.randn(m))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.6806805096386426, 2.8684002439525282)"
]
},
"execution_count": 4,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
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IqFwwSBKRrpVL9TEbTrZTmfe90s22LzN9uCz7MomI1MMgSUS6VG7Vx2zUCFPZ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hKJBDweDzKZDCYmJvRCLOXQbkKkFM1atZXneXg8HsTjcUxMTODSpUsVv6Tb0ZEs53w00af9bjUi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\nDM2twkK+RgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd7018bb7b8>"
]
},
"metadata": {
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,9))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"ax.scatter(Xm, Ym, Zm, c='gray')\n",
"ax.set_xlabel('X')\n",
"ax.set_ylabel('Y')\n",
"ax.set_zlabel('Z')\n",
"plt.title('Ball Trajectory observed from Computer Vision System (with Noise)')\n",
"\n",
"#ax.w_xaxis.set_pane_color((1.0, 1.0, 1.0, 1.0))\n",
"\n",
"# Axis equal\n",
"max_range = np.array([Xm.max()-Xm.min(), Ym.max()-Ym.min(), Zm.max()-Zm.min()]).max() / 3.0\n",
"mean_x = Xm.mean()\n",
"mean_y = Ym.mean()\n",
"mean_z = Zm.mean()\n",
"ax.set_xlim(mean_x - max_range, mean_x + max_range)\n",
"ax.set_ylim(mean_y - max_range, mean_y + max_range)\n",
"ax.set_zlim(mean_z - max_range, mean_z + max_range)"
]
},
{
"cell_type": "markdown",
"metadata": {
},
"source": [
"## cv2 kalman"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"import cv2"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"v = dt\n",
"a = 0.5 * (dt**2)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {
},
"outputs": [
],
"source": [
"kalman = cv2.KalmanFilter(9, 3, 0)\n",
"\n",
"kalman.measurementMatrix = np.array([\n",
" [1, 0, 0, v, 0, 0, a, 0, 0],\n",
" [0, 1, 0, 0, v, 0, 0, a, 0],\n",
" [0, 0, 1, 0, 0, v, 0, 0, a]\n",
" ],np.float32)\n",
"\n",
"kalman.transitionMatrix = np.array([\n",
" [1, 0, 0, v, 0, 0, a, 0, 0],\n",
" [0, 1, 0, 0, v, 0, 0, a, 0],\n",
" [0, 0, 1, 0, 0, v, 0, 0, a],\n",
" [0, 0, 0, 1, 0, 0, v, 0, 0],\n",
" [0, 0, 0, 0, 1, 0, 0, v, 0],\n",
" [0, 0, 0, 0, 0, 1, 0, 0, v],\n",
" [0, 0, 0, 0, 0, 0, 1, 0, 0],\n",
" [0, 0, 0, 0, 0, 0, 0, 1, 0],\n",
" [0, 0, 0, 0, 0, 0, 0, 0, 1]\n",
" ],np.float32)\n",
"\n",
"kalman.processNoiseCov = np.array([\n",
" [1, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [0, 1, 0, 0, 0, 0, 0, 0, 0],\n",
" [0, 0, 1, 0, 0, 0, 0, 0, 0],\n",
" [0, 0, 0, 1, 0, 0, 0, 0, 0],\n",
" [0, 0, 0, 0, 1, 0, 0, 0, 0],\n",
" [0, 0, 0, 0, 0, 1, 0, 0, 0],\n",
" [0, 0, 0, 0, 0, 0, 1, 0, 0],\n",
" [0, 0, 0, 0, 0, 0, 0, 1, 0],\n",
" [0, 0, 0, 0, 0, 0, 0, 0, 1]\n",
" ],np.float32) * 0.007\n",
"\n",
"kalman.measurementNoiseCov = np.array([\n",
" [1, 0, 0],\n",
" [0, 1, 0],\n",
" [0, 0 ,1]\n",
" ],np.float32) * sp\n",
"\n",
"kalman.statePre = np.array([\n",
" [np.float32(Xm[0])], [np.float32(Ym[0])], [np.float32(Zm[0])]\n",
" , [np.float32(0.)], [np.float32(0.)], [np.float32(0.)]\n",
" , [np.float32(0.)], [np.float32(0.)], [np.float32(0.)]\n",
" ])"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"mp = np.array((3, 1), np.float32) # measurement\n",
"tp = np.zeros((3, 1), np.float32)"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"collapsed": true
},
"outputs": [
],
"source": [
"xt = []\n",
"yt = [] \n",
"zt = []\n",
"for i in range(m):\n",
" mp = np.array([\n",
" [np.float32(Xm[i])],\n",
" [np.float32(Ym[i])],\n",
" [np.float32(Zm[i])]\n",
" ])\n",
" kalman.correct(mp)\n",
" tp = kalman.predict()\n",
" xt.append(float(tp[0]))\n",
" yt.append(float(tp[1]))\n",
" zt.append(float(tp[2]))"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.6806805096386426, 2.8684002439525282)"
]
},
"execution_count": 117,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IAqxWK44//njceeed6O/vh8vlwqmnnorf/OY34c+4jz76KDk7SbJjRZKIKAkm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rAOxJZlOWyNUkaPhh//2M3DD5upr5c57jiFiy8enEM/Y8wMZmy8HzaCp6EBHnqIwgceYObPnkGZ\nMQP31VfzztlXcdP7v+Ta/1zLn/b9iV8s+wXTDb1HkVQV7r3XTHs7nHyyQmsr2O0Ss2bFZlw7lATH\nZIPRNI2Ojo5AHWZ1dTV2uz2wiAx2L+Pj47FYLGIBKAg7Ip49POiRWNA0LaQlG+PHj6esrCzw5/Ly\ncsaPHx+SYws6I4RkjKLnzXUkjQDR63nsWv+4ZMkSESfTgVC6d21tbRQVFWG328nLy6OgoGBYXjN/\ntDxc5Odr3HFHR0iPqaWm4t6yBfe112J86inM992H7aqrWJmRwZuXX86LJ13KTz/5PRc8fwHHpR7H\nDfNvYO3YtT0eq60NamslsrN9z0lSErS2Qk2NzKhRwpE8Fr0t2iRJwmq1YrVau8VkPR5PQGD6Y7Iu\nl6vHuXEjNSYbvNGjab5aXaMRwhQy0YWjRyXuv99Ee7vEOed4Ofnk4d+oER1bYwe73R7SFNaCBQs4\ncuQIRUVFjB8/nn/+8588/vjjITu+4GuEkBQMmJEkJEPJcNQ/DoRY7OI4VCGpaRqNjY0UFxejaRoT\nJkwY9tcsnI6k7liteC+6CO+3voVhxw7M996L9bbbOPfueE676Fs8fvI3uf7oXzj/3+dzxtEzuP2E\n28lNzu10iPh4sFg07Hbf/3s8oKoSyckx8hxFGCaTqVtMFnzukH9mnN1up66uDofDgaZpWK3Wbt1k\nw+niD5bDh2V27TJgs2msWaOQlta/a8p/L3U64Qc/sLBrlxFNg3PP9XDrrW6iTVuXlEisXx9He7vv\nzy+/bOSuuzo499zhbejXV8xS0+DJJ428+aaBrCyN737XzRBHaY9o9PzcaWho6LZpNRSMRiP33Xcf\na9asQVEULrnkEgoLC0N2fMHXRP6dXDAohCMZWoYishRFoaKigvLy8rDXP/YXfwQ0GhZ3A2Gw0VZN\n06ipqaG4uJi4uDgKCgp6bAIwHITbkdSDvXtl3njDgMkE69d7mTwZlFWrcK5ahfzpp5jvvRfLQw+z\n+UGVM1ev4pFVqfyi5AVee/Q1frLoJ1wz7xosRl89qtEI3/mOhz//2URTk09Ennuuh3HjhJDsjVBv\nHMmyfMy5cS6XKyAyq6qqcDgc3WKy/v/2FJPt6IAvvpAxmWDyZJXPPpP58EOZpCQ45RQvA2jm2G/2\n7pX5/vetgcZNjz+u8eijrn6JSX8zrD/8wcyuXUaSknwjaZ55xsS0aSoXXhhdHdX/+U8T7e2+Zlvg\n26y5+27zsAvJvhzJ2283c//9ZtxuXxfnbduMvPGGg0GOJRzx6FUfCdDY2Ehql27eQ2X9+vWsX78+\npMcUdCe2Vo2CTvS32+FAMZlMdHSENuoWyQxWZLlcrkD9ox7zH0OJ0WiMSSE5UEdSURTKy8spLy8n\nNTWV2bNnY7PZdDzDgRPtXXb37pW55x4zSUkaqgoff2zhZz/rYOJE371KnTED1/33I91yC+a//pWU\nhx7ix/9u56olC7lrmczP3/4lj3/+OHetvIuTck8CYPZslTvu6KCmRiYlRSMzM/JEpNcLH30k43RK\n5Oerwy50w5VAkCQJm82GzWbrtlAMjsk2NjZSVlZGR0cHsiwHorEuVyI33JBBTY2v0U9mpkZDg/8x\nSDz3nJG//MUV8tjon/5kxmDQ8Jsk1dUSL7xgZPPmvjdR/ULyww9lzGZf12Pfl8aHHxp0E5KqCm73\n14IvVPjFtB9J8l3Pw01vQlJR4M9/NiPLYLH4zr+6WmLHDiOnnRYBJx+F6NmxtbGxMaSOpCB8xNaq\nURAWzGYzbW1tw30aYcPfubW/N9DW1laKi4ux2+3k5uaSn58f8XVCBoMBr9cblq6j4aS/jqTb7aak\npISamhoyMzNZuHBhxHaoDGW0dTgium+8YSApSWP0aN9jqKyE9983MHFi58WdNn48HbfdRsUFF5D6\n7LOkbt3KLb+r4NqCXG5d2MK59Wdy5vRzueOEOxiXMI7UVEhNjUyB7fXCr39tZv9+A7IMRqPGz37m\nZsaMyDzfcHGsmKyiKDidTux2O7//fRxFRSpJSa1oGrz9diIZGR4mTlQwGg2UlprYtcvAunWhrdlz\nOCD4FiDLvnrc/qBpGrIsk5urceiQhM3mcyRVVSIvb3CveVWVxHXXWfn0U5msLJW77urodP288oqB\nm26y4HJJTJum8qc/ucjICM194qyzvDz8sImOjq9ntG7c6OHgQZknnzQiSfDNb3qYPDm8myN9Ccn/\nZ++9wxs5y/3vz8yoy7bc27qu7V17q7M12TQSEpINISEFSDgv/VByXjhw4EcJkDeElxY4hxQggRQI\nECCUFOCQXgiQstlsySbZbLK7tiz3Khd1aWZ+f2hHK/cm2ZI8n+vSJdfRjDTzzPN97vv+3qpKrHWR\nJuZDoSXcwQwjEokk7b7odrsTHpHUWRpSe3arsyiSNUlcaamtc2kBojXM3bt3L8eOHWPVqlWceuqp\nlJeXp7yIhOS70y4Xs10DPp+Pw4cP8/LLL2O1Wtm1axerV69OWREJ6Z/aajBEIycaihL92XSoOTkM\nfeQjeF95Bf/tt5MtWrnp3n76fpZD1a8f4qw7tvKT/T8hoqRulGHfPpEDByQqKxUqKhSsVpWf/nT5\nz7FUrYmORCSGhrKxWEoYHMwjP99ETk42Dkc2giAiyxKqquD3R1NmX3/9OAcOHODVV9/ib38b4NFH\nvQwMhBa14LJ7d4SxsWid49hYVEieffbcxkhZlhEEgS99KURpqYrXK+D1CjQ2Knz0o/O/d8oyfOhD\nFg4cEDEaVdraBD74QQtDQ9HfHz0q8OUvWxAEcDhUjhwR+c//nD4sqarw1FMSP/qRkQcfNMwaXdyw\nQeF3v/Ozc6fCunUK110XYtcumUsvtXLnnUZ+9jMjF19s4/XXE3OvO3pU4EMfsnDhhVb+53+M0+7f\nTELSZIILL4ygqiqRSFRAGo1w5pmZd59bKvSIpM5U6BFJnXmz0oTkTMcbX/+Ym5vLunXrktqMPllk\nqpCcjpGREVpaWgiHw9TU1NDU1JSyk+qJpHtq6+7dMq++KtHVFZ3Qms0zT+5iKfomE5F/+zciV1+N\n9NhjZN98Mz98+AW+8WyQHz5zLe+95A98/8q7qc+rX8KjmRsej4AgqLHoiN0e7c2pM5mWlmjkze0W\nUFWorlbwek9G9bKyQBQlwEokIpCXB+95Ty3Z2eV85jMWjh2TUFWZ7OwQX/jCKxQXR8a1KrHZbFit\n1lkX+D7wgQiKAn/9qxGLReWaa0Js3jy3606LSJaWqvzlLz5eeUVCklSamxUWkvTR3y/Q3i6SlRU9\nh+x2CIUE3nhD4vTTZV5/PSqmtG3n5KgcOiQSiUy9SHPzzUbuvttEJAKSpPLooxK33x6c0QRo506F\n++/3x77/yEcsBALRfYFoBPcnPzFy222LK3vp6RG45BJbTLy/8YaZ/n6B731vcihxtkyh228PcP31\nJv7xDwPl5Srf+16AoqLUS3tPF5Idkayurp79D3VSDl1IZjB6RDIxTBWR1Oof+/v7U77+cS7MJeqa\n7miuua2trRiNRmpra8nNzV3u3Zo3iax9Xg6n3rVrFb761SB79kgYDFEROa96QVFE3r0b/+7diHv2\nYL3pJr7x8MN4nz/Az+/fwctf+CrvO+8Ly7owMDYGwaBAXp6KJEF9vYIogscDNht0dYmcdVZmX28L\n5StfMTM8LJCfrxIOQ0uLyOrVCk6niKrC5s0yzlaBt16NsLl+lBu+MkJN2Mtfbw+R83qYi3J8mFU/\ngd4goZ972fnOMUJjY0TGxgh7PIT9fgJ+P+GxCIPdJkRZoawwQoFDwaCqCIoCkQhCJMJ/KAr/gQJe\nGX6gwo3KyWLBidegIESVjyhilGUaQyGsOTlYJYlzDYZoPqgkgcGAajJFw2MnHqrJFA2hWSzRry0W\nVIslqgytVvKxsi2Qj4KVkMGGFztDoWwcNgmQKCxUT/Thi+5GMAi5ueqUInJ0FO6+24TdHj03VRWe\nf97Aq6+G5yyUAbxexglPQYgumCyWp56S8PtP1nkqisp99xn57ndDTLykZzPbsVjgxhtDgJ7PmgiS\nHZHUU1vTE11I6syblSA64ok/3nSsf5wLmRyRVFWVjo4OXC4XDoeD9evXp2XUWCPdI5IAdXUqdXVz\nG0NmSuVVdu4kcN99hA4fJvKD7/IfD/4F+T3f5Kkz7qLx2z+ncPOuRO72rESdOQ08+GC0bqy6WuEL\nXwhRXa3y5S+H+OlPjfT0CJx+uszHP564xbiuLoE33ohGrLZtU0jZ1nqKAiMjCPGP0dHoz0ZHUYbH\neM9eP4WmUWzdY9giHoyBUer9o9hVDyG3D/VNL1bVi0GNQD/w7uimrz7xGIcLeBwmmnSqJhN+2UQR\nJsKCiYhgIOIALKCcEHuiwYBgNCJqXxsMJ8WihqZsogWQKKEIHW0w4laQBJmK8gEcWREEWY6JU2Q5\n6l4TCiGEw+O/ngYr8NBUvzgbVLOZC+x29oayGehy4BFzGBOzyanI4p/rHCg5Dra+PYu81bmoDgcC\neTSHSgmZ8xklnzHRgSRJ+P0zi0BVVQlEAliNUfOxq6+O8PLLUqzm0GCI1kkuFu1tPvm606e+y7Kc\n0mUImUYkEo3uJwNdSKYvupDMYJK1Ip8uKYCJQpIk3G43HR0dSJJETU0NeXl5GfU+ZKKQDIfDdHR0\n4PV68fv9bN26NSPMhBIlJAVBiEU3U/lcnsu+KevWIf7i1/iud3L8+mt421+fw3zWhbjevp2ib9yE\nsmnTEuwpvPpq1HykoiIaDWprE7nnHiP/9V9htm1TuOuu4DgDkERw4IDIl75kRpYFFAV27JD57neD\nixKTqgqDgwJms8qUXW9UFUZHEQYGEAYHo4+hIQS3++Rz/GN4GGF4OCoYZ4mmXy1JeA0WgmIBXjGP\nMTUbSksQSlez71AOvdYsFGsWAcnOYMBOzQYLF11hYv8RO7/6Yw6mXBsRg5nuYRu7LzNwznt7eW3s\nGKLFisGWhdls55mnbNz/BzulBRZE1UxgsJjqVWbuvDOAqqqEw2G8Xi8+nw/3mJvnOp/jn33/pM3b\nTsngu7G2X8LG1UX8+4cN5OZaYouJ3/iGift7jGTVhwkEZFTVzD0/DtDcPPP1qqoq3aOdHO97g7be\nN3H1v4U5AmusldRZyqkzl2ELw1sHg/Qc99F1LEDPMR821cOujaM014/iGB1DbfeSPzJKoK+X8PFj\nVKkjODqGMR8+GZGzAn8G6Il+LyMyYnBg+kQWobxsfLl2vA4ro9kWhrMMtJq9HBJ6eUlx0WLykVtW\ny8aSzWws38j7rjuFZ+/bhjlcxn9cE+aiixZ3DwmFIC9PxWxWY9FNoxGuuWZyNBJmj0jqJJZkRiR1\ns530RReSOjrTEIlE6OrqorW1FYvFwsaNG9M6kjUTWvuPTCAQCNDW1sbAwAAVFRXY7Xbq6+tTWizN\nh2S19Ull5ny8NTXU/fIRjr75Ii9f90GueGYv9jPOwH/+uShfuhZl585ZN+HxwMhINC11vovv3d3C\nCVfW6PeFhSpvvTU+YyHRp+GNN5owGiE/P5rauGePxPPPS/M3FfH5EPr68Lb08Zsfuhk7NkCB3Mdp\nDb1sKumNisX+/pPicZqsFFUUUfPyUPPzIS8PtbgYZc0afFlmjjPEa5FOXvYdo13yMGKGEQux54DN\nhGTKYiQ8BHix91ezu+J9fPOD56KqKnf+QGb/oRCOAj+yGGDIHeHyM2o5/z1lbERgdaGR3/wOPDnP\nk3/+/dxS/gifevjw1Mf7dnjrxJeCYuSI7xSu/ft2dpbvZF3hOl7qeolHWh7h6ban8Ya92Aw2jL5K\nXjFdD6uv58/AjXcWUOHIocBUQLGtmD2d65A2lqGEypD8xYT7GtmzJ3+ckAxGgrza/yr7evaxv3c/\nhwcOc3ToGL6IN/Y3VoMVRVUIytF6w2xTNj+78GdcfO7FvPgbAzc8YcZ4IvXzxjfgOx8IcuWVEbRG\nRc1r7ITzopm0qhRAKflfduz+PUP+J5BGxygKGcnxhMn3Q4FfId/vptDnpsgNRbSw0LkAACAASURB\nVJ1Q5IU6HximuOwikpP+LBcd9ofoyoYNWTCSb8P9zyp+19FE0ZpTqF13JjVVm5GkuU8xx8bgyiut\ntLSIMQOuXbtkLrkkwvveN/W5lipCsrVVoLtbpKFByegazGTXSBYWFiZl2zrJRReSGUwyJ86iKKbM\nIJ5oJtY/rl27lrGxsYwVkRCNSIbS3Bd9bGyM1tZWvF4vNTU1NDQ0IIoi3d3dKIqSMedqJqS2zoeF\nCOfatadSed9hbn3qW4R/chOfe+7v5J//NJGzziL0xS8in3XWlIru5ZdFbrvNhCxH66s++9kQ69bN\n/b2O1qpFMzhFMWqo09h48v9VNdr+5JlnJLKy4L3vDVNbu7iJ5+CggNY9I3pIKsPDJ1MuhaEhhO7u\n6KO3F7G3F6Gnh/VHjmANhaLf9/UheDwAZAGfj9v+SJ+DYFkR1soClNpa1O3bUQsLUfPzUQsKTj7y\n84nkOhg2ybR7OjkyeIS3ht7izaE3OTJ4gKPuowAUWAt4e/VF7K55O40FjeSYcsgx55BjysFsiGYM\nHOpo4Zf7/sST2b/nT2Of5k93ntiZPODs8cf/gzDccZuDjUUbcaxy4HzfPxkLjdIhGtll38W/bfgW\ndcbTuONnZto6Q5RV+jn3fB+/+YOMZAqAIcCwdBzH+ue5+5W7+cn+n8S2XZ5VzlVNV7G7bjf10tm8\n+115lFS/jN/xCiFzFx6hh9wtnYQNXRwcOcjQ2sdRxfGi52seG3feVUF1TjV9gT4ODx0mrERTQItt\nxazL20S+8yzsXWswja6h3NzA7+4ooKBAwTni5M2hN/n+i9/n/X95P1/a+SUOP/xNBOFka5JAAP7n\nf0y89prIRRdF2LFDQTX4CFY9Srj+fkI1f0M1jfF3IZfz1r+NAmsBDrMDu9FOlikLu9GO1ZSFYMzC\nb7QzZMoiZMpiWLKS7ZNxjAQQ+/uj58iJR2FvL3md7TR2uZCO9WEb8QJHTjweBMBrEvAW52Fb3Yip\nph61ogKlsjL6XFWFWlExrr/KbbeZePNNEbM5KoAjkahp0FVXTZ8CnwpzkB/+0Mitt5oxGqN9ce+6\nK8A552TGouxEkhmRDIfDGZExtBIR5nmDztyllgxEUZSkmeLs27eP9evXY0l05+NlRKt/9Pl8VFVV\nUVpaiiiKuN1uuru7Wbdu3XLvYtLo6+tjZGSEhoaG5d6VeaGqKkNDQzidTlRVpba2lvz8/HGLKC+9\n9BKnnHJKxtTSuFwuRFGkoqJiUdtRVZVgMBhLbU3VWt+enh5CoRBVVVUL+v/9Pfv53J//nXOeOMZX\nXzJROBxC3r6d4Be/iHzBBTFBOTICn/2cmRyHTJZNYmws6ox5662BOTttKgr8/OcGnnnGgCRFo4TX\nXhuipCR663z4YYkf/chEVpZKKCRgNKrcemuQ8vIF3FqDQYTubu76Rh89+3uoN3eS6+kg19vFqVXt\n2IZ7EHp6EKZYIFIdDnw5OZhralCLi1FLSqKRw+Ji/vNbFRwbK8VjL2FQLKJ/1MzVV4f54g0u/rb/\nEE+99gZBaYCc0gG86iBD/iEG/YMMBYYYDgyjxk0TJEFide5qGgsaaS5p5rya89hcvBlRmNu5pqoq\nr/S9wt7uvZglMxaDBe+oBedRO2bJwuZN0Cu/yat9r3Ko/xADvgHOrjqb82vO5+yqs8kx5xAKwbvf\nbaW7O1pD6vVCUZHK9dcH+eUvTfh80VYfV10VIaKGONR3iNcHXqe5pJlNRZtiY0lbm8Cll1rJyYku\nCLhcAh6PQGWlQkGByt13B+jpVfnU5z34pE4i1i7y61o5/ZLDtI68hXPUSYGpgDX2NTTYGljvWE91\nXjW/+U01f/lLPgUF0UWioSGBd787wje+cfJzC0QC/NdT/8VvXv8NOaE1hI6eTbb7NIw9p9PzRj1W\nm0L2mn0Ey5+m6uwneH3sBSJCAMFfgOHYu3F0XMHf79lJ1aokjYGhEEJPD3KHi563Xmbw2Cv0vPky\ncnsblaOwZsxM/sh4N1dVFFFXrUKprkatruahQ/U83lJPl7WeNkMdveF8GtaoPPaYf5oXhddee43V\nq1cnrW5vNg4fFrnoomgcWBSj5a4WC7zxhnfGlkbpyv79+9m0aVPCxaSqqpx11lkcOHAgYzKHMoQ5\nfRgZeKrraCTzgtScW9NdSKqqSn9/P06nE4PBMGX940owF0q3Y1RVld7eXpxOJzabjYaGBnJycqb8\nW63+M1OE5GL7SEbdHVUURYk9Q3R1P15UatfAcgvMxabybindwmMffY7bT7md5hd/xMUvDHL9i4co\ne+976Woo44HL13F/rcjrPR0MNrkQRIUdvus4hc8x2mlgZESguHhury+K8LGPRbjoIplAAMrLVeKH\nyD8+oGApaUPNHiQvvJo+Vy579khcdtmEa0+WoyKwowOxvR2xowOhsxOhsxOxszP68/5+AD4X928+\nKQu5tBxLXhnyul0oZWWopaWoJ56V0lLU4mKw2di7dy/bt2+fdAzP3myhT+pGqthPqHA//tx9/Kb0\nAHfe0X3yOGUrhsECzJEChEABRfZqLj7FQZkjnwJrAWVZZTQWNLI6dzUmaeFu1oIg0FzSTHNJ8/hf\njMtQPh1FgT//2cALByTKRhXO2BYm54T4d7kE+vujqcoAubkwNCSQnw8/+1lg3GZNmNhWto1tZdsm\n7UtlpcqGDQqvvCISCgmMjQnY7SoFBTA6KvDtb5u4884gD/w6myeeWIXZXMJ733vOtOnRkUgEn89H\nX58VUZQJBCKoqoIsS7z6qp+Wlq5xLUtue8dtnFFxBr/e/wAv8gf6TSfCtN4i/MYwXtMwAKHe9Xz8\njI8gHruYoy+eS0mRyBfvDFG1KolxAJMJtaoKsaqK8l1nUA5sBNpG2rjn1Xv41Wu/YmS0nx1yKf9P\n9plcaGiitN+P0NaG3HIUwxOP856+3/AegBMZviOCg5HjdVg+uhqlrg6lvj72zAm37YVGJD0hD393\n/Z3TK04nz5K34MNuaxNizrcQDbCGQjA8LFBYuPD3OxCIilSrFRoblYSnwy+UZEWAZVked8/RSS90\nIamzINK9BYhW/6j1f5zJyTPdRNZCSBezHa1vZ3t7OwUFBWzevBmr1Trj/2RaKqgoigu69uLFoyYY\njUZjTJhO/H28wNT+X7vZL2UEMxE1oVajlc/v+DyfOuVT/PKMX3Lqnps59/luvvaPbj59YzfnFFm4\nZfsG/mD7CKEcJy9UfZWjhofYkfVzzOYqRkchO3vm+kZ/2M8zrmdwB9yMBkcZDg7Tc7yHLk8XPd7o\nc/+6qPgzRaBqBNaEK+n833JeeyqLmhGRgn4Phs6uqGicMOaoOTkoq1ahrlqFvHlzNJqzahVqeTlq\neTnhknLE3BwEAbQYjqIq9Hh6aB1ppXX4GO6BvdhH7WQZs+ge7Mbv8mM32ekc6+Rg30EO9h6k8+pD\n+IS+ExsQMQw3sqPwbXiPbUFu38oqwyZkXw7/+IdESalKdbXK4CDQpfD1nyyuh+BCufVWI7/4hQlJ\nUpFliSefNPD73/vJyor2nZRlAVmOtrtQlKhxqt0+v3NKFOG22wLccouJv/7VgN8fdR8WRbBaweWK\nXg+rV6u8612jKIqCzTZ9eyGDwUBOTg5nn21g714TFktUcAcC8La3KWRnZ+Pz+RgaGsLn86EoCutN\n6/nRqTtwD2fx1xcGeProQY6FXsJqNpDdfw6GjnNY5Sjmxuv8cA4Q5wx85IjIbbcZGRkRuPjiCFde\nGUm6QKl2VHP9Gddz7WnX8tdjf+Xe1+7lP1z3o4QUVq9aTW9uL951UeX45U2fRb33MtqfbaVGOcb2\nvOOcVdpC5MXnsNx//ziTJl9+DkPVJYj5VtpP2YKjeSf5zWciVlQiiLMf1J0H7+T6f12PUTRyXs15\nXLH2Ci6qu4gsU9a8jq++XkGWo0JSkqIiMjeX2KLFQujsFNi928bwcPS83bUrwm9/GyBV1kGTIfaG\nh4dxaPn5OmmHLiQzmKWISKYb8UYsZWVlbN++fdZIVboe63xIdSEZCoVwuVz09PRQXl7Ojh075hxh\nTPVjmy/zFVZTCciJIlD7fuJqcyoLzIVgM9q4Zss1fGzzx2i7qg27uYh933uckrt+wB0Pv8z/l+Ph\nNuNneHDdO2l521d5om4777zhe1T1fpLGtdGayanmO0cGj/Dh//0whwejxi6SDBWjcIrfwU5vNmvH\nTNQOZ5PfYcbRPUapf+TEf7YD7cgCdOTAnlyBsZJc1K3ryapfR/6aZiLlZXhLCwjYTMiKTFgJE1Ei\nsUdYGWUk2E7fW330efvo9/XT5+uj19tL+2g7ATkweYc14nxoJEGisaCRd609n86Xt9J7cCu2sc18\n6GoTH/twhE98wozbJ2DMguExAVWNtjk0GKC4GA4dkggEYKmTVBQFfvUrIzk5J/smdncLvPiixHnn\nyZSWqrz3vSF+/3sjsiwgSSqXXx6homL+k/2cHLjuuhBnnCHzhS9EQ56qGjVo2rXr5GKVoihzvg6u\nvjpCS4vIAw9Ex7OLL47wqU8JGI1F4/5OVVVCoRA+nw+r1csHLjTTvGoHX//6hwABDAKBiMTuq9z4\n/SoWiyU2B3A6BT74QQvBYPTzOnDAjM8HH/rQ0iyQmiQTV6y9givWXkG3p5s/vPEHXux6kXfUvoOG\nvAb29+7nxkO3wKZbYAqDZVMEVrthzSCsHYDGgVEa+0dpegPynjoE3APAsEnkWKGD0Lpy5KY1WDZv\np3DHORRUrxs3H9rbvZeK7AouW3MZD7z5AI+0PILVYOXC1RdyUdXlrPJdSEmBhYaGmc+RhgaVb387\nyNe+Fj0XsrPhV7/yL8ox+bOfNdPdLSAI0XPruecM/OIXRj7xicydg+itP9IbvUYywwmFQklxeExU\nndZSMTIygtPpxO/3j6t/nAuqqvLCCy+wa9fS9qRbSgKBAIcPH2bLli3LvSvj8Pl8OJ1OhoeHqaqq\nory8fN5C5bXXXqOysjJjVjx7enrwer3U1dXN+Hea6NOEnyb0EsHEtNj4r+PRXnMxArO/vx+Px0Nt\nbe2i9nk6nnpK4tf3iFwSup/zX/oe5YOvIQsSA1tO4zv5bn615XWyxLdT2vkJttSV8fl/L6bEXoLk\n9SG2tvKvf/ySfzx7D/UjEhfSQH73MKbO7nERRVUUoyYj1dX0Was5EqzFX1LFpndVoFRW8NIYuMRX\n6FD3caB3P/t79zMWGpv3sTjMDopsRZTYSii2F1OZXUlNbg21jlpqHDUU2grxhX14Qh72HNxDVX0V\nnrCHIlsRGwo3xHoEqmq0ZtRkIpaa+cADBm67zUhursrgoMCRIxLNzTJZWRAMgs8n8PjjPpZ6HUGW\nYetWOw6HGnvtkRH47neDXHCBttgBzz4r4XSKVFUpnHOOvKhonKrCj39s5J57jAgCbNigcPPNAS3j\nEpfLhclkorS0dM7b9J8II8+SYBHjwAGRPXskBgcFXn0VAgGF884b5sILe/H7fQQCgRPbs/K//1vB\nPfeUUlgYXfQJBgWys1WefHL6+sOl4LXXRK691kybC/ryH0LOcqFGLJyywcjHPypiMVgwSSYsBgtm\nyRyrk9V+dujgK3S1Sjxxx0us5RXWho7RONbLOrePYt/J1+m3CxxbZaOntpDRNbX8QjxA2ba3c8el\n96CoCnu69vCnI3/iT288hDvUj+ArxLj/s1xR+Ql+erN11nNleBj6+wUqK9VFL6Rs3GiPuT9D1HTo\nAx8Ic8styxPt11AUhf3797Nt2+S078Xy4osv8sc//pE77rgj4dvWWRR6jaRO8jAajbEbVaoSX/9o\nNBqprq5eUP/HlZC3L0lSSqXvjoyM0NraSjAYpLa2lqampgV/DpkWkZwtVTeZAjJ+H2DqCKb2PF0E\nM36f5lKHmex2J5s3K9yfbeDh0Ht48sIrKeg4xP9b+HsKn76fW/Y5+cGTEo/XPcOB8qeoOQhDd0Ke\nG4pP1HJdcOIh59mh1oiybQeh99SiVlejnHjEO1RmA1pl4oEDIt/5jhlZVlGURt797su54UMRVBSO\nuY9xZPAIAgIG0RB7GEXjuO8NoiEmIC2G2WexDnN0QWU4e5jtVZNrJCGawps7IStTq+N89FGJ8nKV\n+nqFI0ckvN5olPsrXwkuuYiEaErhpZeGeeghA2Zz1CApL09lx4748w3e9jYZSMw4IAjwmc+E+ehH\nwwQCkJ8/Pu15PhFJjbkKSIC//MXAF79oJhSKHn99vcKDD4awWrOI+u6e3A+/34/NJgEKoVAYRVEI\nBkUMBpmjR4/HajDtdvuS1pH39gq8971WvF7wegVCrVcA0fdx7wtwXmGIL395Zifxbks3Lxw9nT0d\nV/D6icMOK1DUEOG+e15g8OVnCb2yD8uRtyhs6ab5aRfWx9r4ECAb/gxNp6Ns3MhZmzdzRvOVHLj3\nuxyM7EPZeSuhM67jd8Hv4/nlx/mfKz9Fadb0iwJmM9TXqwlJFV63TqanxxCru7RYYNOm5S/NSGbr\nj8HBQT0imcboQjLDSdYkzGg0Mjo6mvDtJoJIJEJnZyednZ3k5uayYcOGZXN1SxdSQWypqsrAwACt\nra0YjcaY8dFiybQayemu6aUQkLOhTZ4nTqInRi4nRjC1c28+AjNRFBaqXHddiIcflvB6BbZ/cB1/\nPvT/c+ue77FqbD9XCX/gCufvuehYJwPZBQQbcmndYOPpApE3HRFKNu7iqou+ipSXP6/XVVX47/82\nYbMpJ+r4VB56yMjpp8s0NIisyV/Dmvw1STrq+SMIcPnlES6/PCooZRmef17C7RZYs0YZ1+Zkqfn6\n10OUlqr8618SZWUqn/tciAQMHbNit0cfE1mIkJwPN9xgQhCiqZSqCi0tIo8+aphk2iSKIna7nfe8\nR+C++wyMjhoxGNQTQthLQUEBPp+P3t5efD4f4XAYSZLGiUubzTYuTTZRvPiiRCgUFUojIyd/rqV0\n3nmncVYhCVBcPF7AhcNQXCRSUbeFirot8L6Tv4vIMp7jx4kcfBnr4beQDh1CevJJjL/9LQB7EHhT\naOSV41vYl/N/eOGUgzx16k2sueOHrM5dzaaiTWwq3sTGoo1sLt5McLCUD3/YxvHjIlaryq23BmJR\n8IVy661BLr5YpLtbRJbhvPMifPjDy5/WmszWH8PDw+Tnz2/81EkddCGpsyBSsW4wvv6xvLx8TvWP\n80GrL8tERFFctib3iqLQ3d1NW1sbDodjRuOjhSBJUkYJyYnCOBUE5GzET6rnW4cZCASQZRlZlpMm\nMMvKVD72segk/NgxgWeeMSCIAq0F2/i6dxtfU26kuCTMt76v8K53yeQC64B3LuI1AwHweIRYrZ4k\ngSiquN0Cy1VFoqowNASqKlBQMHOERZLgzDNTI9JvNMI114S55prUuCclW0h6vUKsHlQTXifagE5J\nWZnK737n5xe/MDI2JnDhhRHOP18A8idN4DU3Wa/Xy/DwMJ2dnQQCAQRBwGazjROYVqt1wS6eVmv0\nHFfVqJGRNqSpavSYZkuQ0e5XH/xgmD/9yUhXV7Ru12qFG26YJg1UklDXrEFas4Z4iSp0dyMePMiv\nPvs6q/oOcqbyd65yd8LToPxdoremkFerZJ4u+Sf35z/Et4pAEcEQLEZYtxNH8Hoivafw6U9beOwx\nH6tXL/z6LSlRef55H8eORcVpdXViIp2LJdkRyfLy8qRsWyf56EIyw0nWhDKVhGR8/WN1dXWsEX0i\n0SJ2yVqRW4lEIhHa29vp6uqiuLiYrVu3JqUhsSiKyx5tTSSakFRVNdayA1JTQM6F6dJk3W43TqcT\nRVGoq6tbMqMfrzdan2Q2g8Wi4nDA2BisbpRYvTpx55HFAjU1Cp2dAiUlKj5f9DOsqloeERmJwI03\nmnjySQOCANu3y9xwQ3DJzXMygWQLyXPPjfDYYwYslmgETpLg1FNnPjerq9VxvSmnQ3OTndhOSUuT\n9Xq9+Hw++vv78fv9KIqC2WyeFMWcTXScfbZMXZ3Cm2+KmEwqkUh07BKEaG3ubIsU2nvscMDDD/t4\n8kkDgQCcfro8byMltawMuayMnQ0XccklNjwegfxgN1865wU+vH4PRfv3c/6+fbxjeJjvARG7Fdea\nVfw+YOP59c/y3O7tBFs+jelfN3D//Tb+8z9Dc+o9OzISbR1TXq6OM+gxGqGpKbUWP5MZkXS73Wzc\nuDEp29ZJPvqsWGdBLLeQVFWVvr4+2traYmmQubm5SZtIay1AdCG5eOIjx6tWrWLnzp1JfV8zSUhq\nonFkZISurq7YpC0Zvb2WA1VVGRoaivV1raurm3JCm0wn2cpKBbMZqqsVjh2TCARUbDY46yw5oZM7\nQYBrrw3xne+YcLlELBaVr3wlSGnp8gjJhx4y8PjjEqWl0b51L74o8ctfGvnkJ1NjwTCdSLaQ/MEP\ngphM8MwzBgoLo86hszmMLhYtTXZitoiqqgSDwVgUUzMD0+6X8eLSbrdjNpsRBAGzGR580M9vfhON\nJoZC8Mc/GgmHYccOmZtvntmDIb6nod0Ol166+Br/+nqV/fu9tLaKOBw5lJe/gxDv0A4U4fhxpL17\nkfbuperlfXzxjUMY3oiOOa8X/YjnS+9iz4Pnc9lzO/j4N9dSX1ZOeVY5+Zb8SXOTG24wceutphOu\nxyp/+5tv2RaR5kI4HE5aRFJ3bU1v9FlxhpNsYbXUaPWPHR0d5OfnL1n940roJZlsxsbGcDqdeDwe\nampqkhI5nopMSG2NF052u53q6mo8Hg/9/f34fD5UVcVqtWK328nKyko7gakZY7W1tWG1WmlsbJw2\nvXm2ViXxj9mMfqY6//Lz4atfDXLbbSZUVaa4WOX97w9z5pnKtGYyigIPPyxx8KBEYaHClVfKc2pI\nXlqqcsstQbzeqDvqcnZOOXxYxGI5uQ9ZWQqvv566rVxSGUVRkpodYLfDzTcHgeV18oTo9WSxWLBY\nLJPSZMPhMD6fD5/Ph9vtnjJN9tJL7bGvv/WtEJEIc+qZGC8kE4nFMk00UBBQ6+uJ1NcTvupqPv95\nM39+K8x631528Rynjz7ClSMv8vHQX4C/0P0S/KMaflsFL9YaGFhdRmlOOWX2MkJDZTyxr5pwYwXh\n9tNpb6/mgx+08ve/R61mjw4d5Qd7fsD7mt7H22venvBjXAjJXEgfHh7WhWQaowtJnQWx1Cl0E+sf\n59NHMBGsBCGpNaZPpLhTVRW3201rayuqqlJbW0t+/uTV2WQiimLKpGHPl6l6QEqSRElJCSUlJeP+\nzu/34/F48Hq9DAwMxJqYWyyWWCRBe6RKZF1RFHp7e3G5XDgcDjZs2IB1PvaVcUx33i7ESbauDm66\nKRir15qNe+818OCDRhwOhUOHDBw8KPGDHwTJzp79fwUBsubXBz0p1NYqPPWUIRb19vkEamoyI5K/\n1GgR8ZWO0WjE4XBMar2kKEpMYHq93nFpshaLZVIt5lT3+mQJybnw2GNStO+n2cBB49n8Y/RsCH2V\nnCyFNZZX2KE+zMWOZ7l4YD/ve30IiOCx93JgjY9/1LbwYJGXyFk+OHGKKD2beeXYpbzSdz6v9b/G\n/3n6/+ANe7nvjfu4et3VfOfs71BgTYzQikTg4EGRUEiguVlmruvw4XB4wWPzbOgRyfQmNWYTOkkj\nHWum4lmK+se5YDAY0laMzBWtDjQR76+qqvT29uJ0OrHZbDQ0NExKUVwqJElK+VY1E5nKQGe2Fhna\n5GvidgKBAF6vF6/XS0dHBz6fj0gkgtlsjkUvtcdSLc4oikJXVxcdHR0UFBTQ3NyclPpYmJ+T7ESR\nOTFFdurtwN/+ZqCiQsFggLw8lfZ2gcOHRXbuTJ9I+JVXRti7V+K110QEAerqVD760cwe85JFslNb\n0x1RFMnKyiJrwgqKliar1WF2d3fHxiuDwTAuRTYSiSybkGxpEQmHo7WckqRiMgkEg6AgckQ9hTeF\nZnI+8EVOvzaEx+VC+te/MD33HKf/85+cecDJ14BBIY+/m7byVHk2Tze38eaub3Lmvd8E4MyKM/nx\nO37Mva/fy017b+KJ1ie466K7OLf63EXtt98Pl11m5fBhEVGMtvh5+GEf5eWzZ08kMyI5MjKSEId2\nneVBF5I6C0arPUv0YL7U9Y9zwWg0ZnxE0mAwIMvyosSELMt0dnbS3t5Ofn4+mzdvTtoq5lxJp/Yf\niXZgFQQBq9WK1WqlsLBw3OuEQqFYBLO7uztW12Q0GmPCUhOaJpNp0ccGJ1PTu7q6KCkpYevWrUua\nWRDPYpxkx29DiDlnjt9+0nY9KVit0SjssWMiigJ1dQoJ+thXHLqQXBjxabITI1RamqzX62VoaIjh\n4WH8fj9jY2OxtH5NZFqt1qS+/42NCiaTiqJEr3OjUcViAUWJjtVnninz+c+HOHpUwOWqpf70aqrf\n/36CgNDejvjPf7HvW8+zvfMZrmh1QSv4/1mKa1sVrh2N7Djzq4i55Vx3+nVcvuZy/uvJL9B2qJJH\nDkucdpo8qcfrXLntNiOvvirFMi16elS+/GUzv/717AutyaqR1MbXdCnD0JmMLiQznGSKL81wJ1ED\nwHLVP86FlZDaKknSgo8xFArhcrno6emhrKxsyVOPZyIVemTOxlK38IiaXZgxm82TJmyhUAiv14vH\n46G3txev1xu7zidGMDXjjNkIh8O0t7fT29sba82TKum1UzFbHeb4ekyFSy8NcN99Zux2lUAAyssV\nGhvDKEpinGQTzXStfiQJ1q5Nj0WXVEYXkolnYppsX18fPp+PyspK/H7/uDRZrW5cS+uPT5NNxLhz\nzjkyH/lImLvuMiGKKsXFcP/9Pmy2qEArKVH5yU+MfP/7ZgwGFVmG738/yPveF0GtrER+/9WcevXV\nvLxX4I03nWwdfhrHvmdpePZZ1j76EnzzV8gbNyKfcw6rd5xL4KbH+UZvdEHWbodHH12YMc+RIxLh\ncHwNqsDRo3M7T5MZkczk1morgdS9k+ukPJqQtCzSH97v9+NyuZat/nEujRM/6AAAIABJREFUGAwG\ngsHlNzZIJgsRXD6fD6fTyfDwMFVVVezatSvlJlCpGpHUJvOp1gPSZDJhMpkmpRqFw+FYiuzg4CBt\nbW2EQqGYm2O8yNQamAeDQVwuF4ODg1RUVLBz586UOz/mw3QC8+qrFUpLIxw8KFBQoHDxxSEslugE\nMpmtSnRSE11IJh8tG0pb4JoqTTYQCMQEZldXVyxN1mg0TnKTNZlMcx57BQGuvz7Epz4VZmREoKZm\nfPTe6RT4/vdNKApEIgKyDF/8ooXduz1oFR6CANt3qLCjGvgIAT4CioJ46BCGp59GevppjD/9KcW3\n3sq/sPEP8RweFy/gUc+FfOUrNfz2t/Mv19i+XeaRRwyxnp2CAFu2zO2en6yIZCAQSFpZg87SoAvJ\nDGcpIpILZWRkhNbWVgKBwLLWP84Fg8GA1+td7t1IKvMRktpnFwwGqa2tpampadkF0HSkWkRSE5Dp\n1gPSaDSSm5tL7oS8Kq2Bucfjwe12x+oww+EwqqqSn59PbW0t2dnZKX+MC0WSRM47D847TwUEIDox\nWojRz1KMgXoEILnoQjL5zFZWE5/WP1WarFaHOTg4SHt7O8FgEFEUJxn9zJQmW1KiUlIyOTLY2Sli\nNEZ7fEI00i9JKn19Ajk5M0QSRRGluZlQczN8/vPg9fKjK/bgePEJLlAeZbfyN24Cjv6tAeOXzkfZ\nfQHy6acz1xz0j340zJ49Eo88YkAUoalJ5jvfmdsCebIMpIaGhia5/eqkF7qQXAEIgjBtKtNiMJlM\n8xaSWv2j0+nEZDJRU1OTFkXWy903cymYLX1XVVUGBgZiPf7S5bNLlYhkvJBIJwE5G/ENzL1eL62t\nrRgMBlavXo3NZouJzJ6eHvx+f2yCFx/BtNlsaT/xVlV44gmR3/3OQCQCu3fLXHVVtIZqOqOf+FTZ\n2QQmTO9MO/991YVkstHf3+QSiUQWXPoy3aKYLMv4/X68Xi9jY2P09vbi9/tj7ZUmiszpUj3r6xVk\nOeqQajBEBaXZDKtWzXMeZrdjvfICPv38JQDUcYzdPMI7eYTau+7G8NPbULOyiJx7LpHLLydy+eUz\nbs5ggLvvDtDbG+3buWqVuuy13LqQTH90IamzYIxGI6FQaE5/G4lE6OjooLOzk/z8fDZu3Jgy9Y9z\nYaXUSE4VuVMUhe7ublwuF9nZ2axbt27aHn+pyHL3kZyqhUcmCMh4RkdHaW1tJRKJUFNTM67Fy0S3\nXs36X0uT1Wqd0r0X5v79IrfdZqCkRMVqhT/8QSIrS+WSSyafewtxktXOnbk4yeroZDrJMPqbLU1W\ni2J2dnbi8/li5nQT6zCLi0389KcBrrnGgqJAdjb8+td+FuI795GPhPnCF8yoKhynnh/zGe40fYbv\nXTfEJxqewvDYYxgeewxstlmFpMZUUdSZSEYgQkNv/ZH+6EJyBZCsiKTRaMTv98/4N36/n7a2NgYH\nB1O2/nEurEQhGYlEaG9vp6uri6KiIrZs2ZKWtQyau/BSM98WHumI1iNUEARqa2snrfBPxUzW/1o0\nwOPxpE0vTI19+wQsFmKTxbw8lRdflKYUktORKCfZ2QSmHpHUSXeWso9kfJrsREKhUGxhbGBgAK/X\nSygUorBQ5MEH7QSDDioqjOTl2VEUy7zvAZIEp54qs3evhDYFEUXY/jYL8qbdyLt3E1RV8HgScahT\nksz32u1260IyzUmtO7FOWmE0GhkdHZ3yd8PDwzidToLBINXV1axZsyatJ9ErQUhqvTIDgQBtbW0M\nDAywatUqdu7cmXKT9vmw1DWSS+3AutSoqsrg4GAsPb2hoYHs7OxFbze+F2ZRUdG414vvhdnZ2YnX\n60WWZUwm0ySjn+VaqMrNhXg/rkBAIC8vcZHw+TjJThSYU0UxdXTSmaUUkjOhmZNNlSarCUyfb4yW\nlt7YwrvFYhkXwZzNTfbeewP8279Z2LtXIisLbrklwKZNcWOLIETDnkkimY6tg4ODemprmpO+s0Od\nOZOsicPEukGtCX1bWxtms5nq6uq0qKGbCytBSIbDYbq6uuju7k5586P5sFQ1kitBQGr9XbOysmhq\nalqSFOfF9sLUhGaiemFOxwUXyDz7rEhbmxCb1119dfIXMOYqMON/5na7EQQh5rqrO8nqpBupIiSn\nQ5IksrOzJy2yaZkXPp8Pn8+H2+2OpcmaTKZJbrJGo5GiInj8cX+s/+NSkyzHVohGJNeuXZuUbess\nDbqQ1FkwmpBM9/rHuZBJgiAebVKpObDabDY2b96cUccrimJSazwyXUAqikJPTw8ul4u8vDw2bdq0\n6JY/iWAuvTC1GszW1tZF98KcDYcDbrwxzMGDIpEIbNigEKd7l5yJAlNVVYaGhmhpacFisbBmzRoM\nBkPKOMnq6MwHWZbTMlMmPvMiHlVVx7nJ9vf3x1osSZI0pZvsUt1nkhmR1Gsk05/0uwp15k2yBhtZ\nlhkZGWHPnj0ZkQK5ktCix06nE6vVSkNDA7Is09PTk1EiKFmkag/IRCLLMl1dXXR0dMRqZJMd1UsU\nc+2F6XK5Yrb/8dHL+F6Y8yErC844Y/kdguPRUpFbW1ux2WzTmmUtt5NsppDMRSudk0QikZSOSM4X\nQRCmHbfi02RHR0fp7u4mEIj2kdTqx+NFZqLfl2RHJHUhmd7os36deRNf/ygIAqeddtqKmUyku0mF\nLMt0dnbS3t5Ofn4+mzdvjhkIjI6OZnz67mLJ1BYe8WgmSz09PZSWlrJt27a0NMiaipls/zWBqfXC\nDAQCCIIwyeTHZrOlxecd367HZrOxfv36GTNFdCfZxJDu94h0YSX16pwuTVZRlHFuskNDQzGDMq1+\nPD6SaTQaF3RuJjMiqQvJ9EcXkiuARNzUFEWJ1UeZzWZqamrIzc3l+eefXzGDuVZrl46roKFQCJfL\nRU9PD2VlZVO65y61KU06sRJaeGjnSH9/P6tWrWLHjh1pea4vBEmSYr0w44mPBIyNjdHd3Z3yvTA1\nAdna2kpWVhYbNmyY0m1yriTKSRYy07l4IitJ4Cw3mTT+LgRRFKdNk413k+3v78fpdMbS+yfWYc6W\nfREOh5NWzjA0NDSu9l0n/dCFpM6MxNc/FhQUZGT941zRakLTaXLt8/lwOp0MDw9TWVnJaaedNu3+\nGwwGXUhOYCUISM2l1+12U1lZyc6dO/WJ8AlmigT4/f6Y0c9UvTC1NNml6oWpqmpswpidnc3GjRsX\nJSDnwnycZLUI/nROsplyzimKklHjg076EV8/PjFNNhKJxIx+RkZGxqXJWq3WSW6ykiQlNSLp9/vT\nqi+1zmR0IbkCWMhNLb7/40z1j1qPvnQSVwslnZxbR0ZGYgY6NTU1NDU1zXoeaDeMTGU+KWcroQek\ntsgwNjYWa9GjT4DnRnxNZTzxvTC1Okwt1cxsNk8y+knE5Exz03U6neTk5KSEGdJ8nWQhOsGdKk02\n3a47bf91dFIRg8EwZfaFtjimRTHjxy6tLVggEIiJzETUy8eXh+ikL7qQ1BnHfPs/pmOUbqGkupCM\nr4mSJIna2tp5tV/J5NRWbYI62w0r0x1YATweD62trQQCgTkvMujMjZl6YQaDwVgEU+uFGYlEMJvN\nk4x+5lKTGi8gHQ4HmzdvXnYBORszCUzteaYU2XQw+tFTW5OPbmiUeOIXxyaOXYcOHSI/Px9Zlunr\n68Pr9cbmfRONfuZjUqYLycxAF5IrgNku0unqH+eCJiRTfQKTCFJVSCqKQnd3Ny6Xi+zsbJqamsjK\nypr3djJ5MNdE8nQTvJUgILUotaIo1NTUkJeXl3HHmKoIgoDFYsFisUzZC9Pr9eLxeObUCzO+X29u\nbi7Nzc2YzeZlPLrFMx+jn/iesJrITCWBqQvJ5LNSsqBSAUEQUBSFwsLCSQtcWpqs1+tleHiYzs7O\nmEmZluKviUyr1TrpMxsbG5tUNqCTfuhCcoWgRWTimVj/uGnTpnnX1BiNRkKhUCJ3NWVJNSGpuWt2\ndXXF2jOk+4QyWWhGSRPJdAEZ3yfUYDBQW1uLw+FY7t3SOUF8LVN+fv6438X3wuzv76e1tRWfz0c4\nHMZqtVJSUoLD4RhXv5tpTGf0M5OTLESFhvaeaGmyE7eXLHQhmXx0Ibm0TFcjuZA02YceeoiRkRHW\nrl1LcXFx0u5Hf/zjH/nGN77BG2+8wUsvvcS2bduS8jo6upBckfh8Ptra2hgaGlp0/0eTyUQ4HE7w\nHqYmWvR1udHMUQYGBvT+nXMkPm033vQjU1t4xKc5W61W1q5du6Aotc7yofWUczgc9PT04Ha7KSkp\noaKignA4jMfjmbYXphbBXEgvzHRgsU6yyazD1IVk8tGF5NIzn3FkpjTZkpISXnnlFQ4fPsyf//xn\nDh48SHNzMw6Hg6amJhobG2lsbKSpqYnKysoFX0sbNmzggQce4JOf/OSC/l9n7uizzxWCIAgMDQ3h\ndDoJhUJUV1fT2Ni46ElGqoirpcBgMBAMBpft9bXaNo/HQ3V1NQ0NDUmZsGRidEMzhdKij5ksIHt6\nenC5XOTk5Cy69YPO8qEoSuyzLCgoYMuWLeMMLiau5Mf3wpyYZpauvTAXwnycZJMhMHUhmXx0IZme\nCIJAdXU11dXVXHLJJTz++OO88MIL/Pd//zfDw8McOXKEI0eO8Mwzz3D77bdz6qmncu211y7otZqa\nmhK89zrToQvJFcLhw4cJBALU1tbOuf5xLhiNRvx+f8K2l8oYDAa8Xu+SvmZ8aqKqqtTU1FBQUJC0\nSaAoihknJLXjGRgYiLVnyDQBqSgKXV1ddHR0kJ+fnxF1cysVrea5vb2dwsLCSQJyOqbrhakoSkxg\njo2N0dPTg8/nA4jVL2kmP6nSCzMZzEVgAlMKTBhfhznTe6QLyeSTzHYUOuNJprGR2+2OpfTn5uZy\n6qmncuqppybt9XSSg34lrhCampqSMiAYjUZGR0cTvt1UZClrJOMNNSwWCw0NDZMmiMlAawGSCGvv\n5SY++lBZWUlvby9Hjx6dFKXJyspK2zRAWZbp7Oyks7OT4uLiOYsOndRDWwxob2+nuLiYrVu3zsm9\ndTZEUZyxF6Zm9JMKvTCXg0Q7yep9JJOPHpFcOpIp2oeGhigoKFjw/5933nn09PRM+vm3v/1tLr30\n0sXsms480IXkCkFL7Us0Kym1dSmOVRMGHR0d5OXlLcgAaTEYDIa0bwEylYHOxEiNLMv4fD48Hg8j\nIyNTpgGmssAMh8O0t7fT29tLWVkZ27dv11fo0xRFUWLXfHFxMdu2bUuIgJyN+Dqm4uLi2M+Xoxdm\nKjIfJ9n4r0dGRhBFMdYXMxWcZDMNXUguHeFwOGnjkdvtZvXq1Qv+/yeffDKBe6OzUDLzDqAziWRN\nhFeSkExmRDIUCuFyuejp6YkJg6WYTE5Ei0imI/NxYJUkacooTaoLzGAwiMvlYmBggIqKCnbs2KFP\nqNIUWZZj6cglJSVLJiBnYyl7YaYjUxn9xPf0zMnJobKyMuaUPlUUc6mdZDMNXUguHcmOSMa3Q9JJ\nT3QhqbMoTCaT3v5jEfh8PpxOJ8PDw1RWVnLaaact6w0y3t00XUhkC49UFZh+v5+2tjaGh4epqqqi\nrq5On4CmKfHpyKWlpWkTTZ5LL0yv1xvrhRkOhzGZTJOcZI1GY8pF+BeKqqoMDg7S0tJCVlYWmzdv\nnrKn8nI7yWYasiynxTWTCSQ7IrmY1NaZePDBB/nMZz5Df38/73znO2lubuaxxx5LymutdPQrcYWQ\nrBt3OgqPhZJIIak1hw8Gg9TU1NDU1JQSk6t0SW3V6n2XqgfkcglMr9eL0+nE6/VSU1PD2rVrU+I8\n0Zk/sizT0dFBV1dXRqUjz7cXZjgcRpKkcdFLu92O2WxOq3N7aGiI48ePY7PZ2LBhAzabbdq/XW4n\n2UxDluUpBbtO4gmHwylbIzkTl112GZdddllStq0znvS/i+ksK+l0418siz3W+N5+kiRRW1tLXl5e\ngvYuMaT6wkCq9YBMlsAcGxujtbWVUChEbW0t+fn5K+payyRkWaa9vZ3u7m7KyspWVDqy1gtz4jgX\nDodj10e69cJ0u920tLRgMplYt24ddrt9wduaTWDGPxbjJJtpRCKRFXMNLTeRSCRpEcnh4eGkCUmd\npUMXkiuEVLoRrzQ0O3+Xy0V2djZNTU0p2xw+VWskJxpaQGr3gJyvwBRFMeaMOTo6iiRJ1NXVpdxC\ng87ciUQidHR00N3dTXl5+YoSkLNhNBpxOBwz9sKcbgFGe1it1iUVTyMjIxw/fhxJkli7dm1Sx/Dp\njmuik2x8RsZMTrKZJjL1GsmlIxwOL2qxZCYyxSF+paMLSZ1FoznCrpSBfa59FiORCO3t7XR1dVFU\nVMSWLVtSvrdfqkUkJ6Z9TZwgpRtTCUwtUn38+HEEQSA7O5tQKMSbb74ZE5jLbfKjM3e0676np4dV\nq1bpAnIezNQLU1uAWepemGNjYxw/fhxVVamvr1+SNkzTsRAnWTiZwRGfIjvVdtKFlTTfWG6SFZHU\nzlGd9EcXkiuEZE48NefWlTCwi6KIoigzHmsgEKCtrY2BgQFWrVrFzp0706YWymAwpIR50lQGOuk6\n6ZkOzemxra0Nu93Oxo0bJ638zhbB1AVm6hDfkkV31E0soijGzvN4ktkL0+PxcPz4cWRZpq6ublL0\nNJWYyklWYy51mNo20kVg6kJy6UhWjaSWnqzfs9Kf9Jjd6iQEzY480ZhMJsLh8IooftcMd6a6iXk8\nHlpbW/F4PFRXV9PQ0JDyN+SJLHdqayIdWFMVRVHo6enB5XKRm5vLxo0bp+0VutAUWV1gLh3hcBiX\ny0VfXx8VFRXs3Lkz7a77dGWuvTCHhobwer0xk5aZemF6vV5aWloIBoMZkV6eiUY/upBcOpIVkXS7\n3Wl/belE0YWkzqIxGo0pEcVaCgwGA+FwOJaiqqoqbreb1tZWFEWhtraWgoKCtJ24L1dq60oQkPF9\nAwsLC9myZcuC60N0gbn8xAvIyspKXUCmELP1wtQimPG9MLWxXVEUKisrKSsry+j6rXQWmHr7j6Uj\nWRHJZDq26iwt+pW4gkhWRFJLbV0JGI1GIpEIqqrS29tLW1sbFouFhoaGZa2dSRRL3f5jJQjIeNOV\nZDeeX6yLrGZikmmfQSIJhUK4XC4GBgZ0AZlmxPfC1CaxgUCAlpYWRkdHKS0txWAw4PV6OXToUExg\nxkcwM60X5kRmEpja83I7ySqKkrHvf6oxWynPQhkcHJzULkgnPdGFpM6iWUlCUhRFuru7OXz4MHl5\neWzatGnatMR0ZClSW5e6B+RyER+xWm7TFV1gLp5QKERbWxuDg4NUVVWxY8cOXUCmMcFgEKfTyfDw\nMLW1tdP28p3YC9PpdBIMBjEYDGnfC3M+zGb0s9ROspn6PqciyXiv3W63HpHMEHQhuYJI1sBrNBrx\n+/1J2XaqoEUhuru7yc/PZ9u2bRmZ9pTM1NZ0a+GxUILBIG1tbQwNDaV8zZwuMGcnFArhdDoZGhqi\nqqqKurq6lP08dWYnfkGgpqaGNWvWzHj+TtcLMxKJxARmuvXCTCQLcZLVHLgzyUlWZ3643W49Ipkh\n6EJSZ9EYjUZGR0eXezeSgs/ni61aV1ZWUltbi9FozEgRCclJbc20Fh7T4ff7cTqdjI6OUl1dTX19\nfdpOinSBOX5BQDPPSufjWemEw+GYm3YiFgQMBsOcemF2dXXh9/tjdZvxEcyl7oW5lKw0J9lMRJbl\npI15Q0NDVFZWJmXbOkuLLiRXEMkaEDTX1kxiZGSE1tZWgsEgNTU1sbSnrq4ugsHgcu9e0khkautK\nEZAejwen04nf76empobGxsaMO0aNlSAw41MedQGZ/kQiEVwuF729vVRWViY9JTkVe2GmGosx+ol/\nTiUn2UwkWY6tEBWSzc3NSdm2ztKiC0mdRZMpNZJaY3in04kkSdTW1k5KZ9KMGDIVrU/mYlgJPSAh\nutjgdDqJRCKxc2WlCo5MEJiBQACn08nIyMicUh51UhtZlmlvb6e7uzvWz3c5x6G59ML0er3T9sLU\nHpnc9mImgakoCr29vbhcLkpLS1POSTYTSZZjK+iurZmELiRXEMmskUzn9h9aX7+2tjays7Npamqa\ndLPX0PpIZiqLOUdWggOr1u7F6XQiiiK1tbUp3ah8uUkHgTlRQK5duzbjztuVhCzLdHZ20tnZSVlZ\n2bKaXM2F+JrKeFRVJRAI4PF4xvXCVBQFs9k8yegnk9thuN1ujh8/Tk5ODlu2bIm130olJ9lMJJkR\nyeHhYb1GMkPI3JFHZ8lYrt6DiyUSidDe3k5XVxdFRUWccsopWCyWGf8n04XkQlgpAlKLVlssFtas\nWTPtYoPO7KSCwNRqWsfGxnQBmQEoikJXVxft7e2Ulpayffv2tBZXgiBgtVqxWq1z7oWpCcyJrUrS\nldHRUY4dO4bRaGTDhg3YbLZxv081J9lMI9kRycLCwqRsW2dpSd9RVmfeJGuSlG6Tr0AgEDNd0FKe\n5jpY6kLyJCtFQGr9QrOzs1m/fv2kyYxO4pirwIw3MJmvwPT7/bS2tuLxeKitrc3omtaVgKIodHd3\n43K5KC4uTmqf1lRgql6YEB2r4luV9Pb2cvz4ccLhMEajcVz00m63YzKZUva893q9HD9+HFmWaWho\nmDQezIbuJJsYkhmRHB0dJTc3Nynb1lladCGpkzC0gThV0UxRxsbGYiYa871BZEo96GxM91lqbTtk\nWc7oFh7a5LS9vZ28vDw2b948a7RaJ3kkQmCqqorT6cTn840z0NJJT1RVjZUkFBQUsHXr1ox1054L\ngiBgNpsxm82TUgbD4XAsgqn1wgyFQkiSNOk6Wc5emIFAgJaWFrxeL3V1dQlPfUyUkyxkbu1/PNoi\nRKLR5g6Z/v6tFHQhuYJI5s1BkiQURUm5WhRVVRkeHqa1tRVZlqmtrWX9+vULfi9WQkRSS1WOj9Ku\nlB6Q8fVVRUVFbNmyZUVPTlOduQjMgYEBjhw5Qjgcxmw2k5OTg8fjAUgJkx+d+aGqKn19fbS2tpKX\nl6dfo3PAaDSSm5s7KQIU3wtzaGho2l6Yyb5OwuFwrFdrbW3tsizyzMdJNn5BFTLX6CcSiSQ1A0cf\ndzMDXUiuMLTUjUSjRepSRUhqkw2tpq2+vn6SHftCWAkDX7yQXCktPMLhMB0dHfT09FBWVpb29VUr\nHUmSEEWRwcFBAoEA69atIz8/f1wLhsWmyOosLVqdcmtrKzk5OTQ3N+tZAotkuXthyrKMy+Wip6cn\n1ns31a65uQpM7WcQFWBTpcmmm8BMVkTS7/fr124Goc+UdBKC5ty63IODFlHq6OggLy+PjRs36jVt\n80SLumpCUhOQ6XYTnAuhUAiXy0V/fz8VFRUp7/CoMzsejyfWA3b16tXj2rIsRQ2mTmJRVZWhoSFa\nWlqw2+1s3LgRq9W63LuV0czWC9Pr9cZ6Yfr9flRVjfXC1K6VmXphxhsjlZeXp+W4O5PA1J7n6iQb\nv71UQpsHJJrBwUHdsTWD0IXkCiPZEcnlIhQKxXqGlZWVsW3bNj3daQFoK6iaEM/Ozs7I91EzXHK7\n3VRVVS17jzmdxePxeGhpaSEcDlNbWzuviYouMFMTTUBaLBbd6CoFiO+FWVJSEvv5xF6YAwMDeL1e\nVFXFYrHErhGbzYbX68XlclFUVJSRmR/zMfqJ79msicxUEpjJikgODQ3pQjKDyKwrWGfZWC4h6fP5\nYoKgsrKS0047Lekrm6Io/l/27jxIkrLMH/i377P6rL67667unj4cHJgZYRUwOFbQCMJhdjd2EXBZ\n0EBhNZBVBuhuGOZgBjDAkRU5AlllwHAjdJBQQF0QEBwFZKZ7zq67+qg+qo+6r8z8/cEvy6y+j6qs\nqsznE9Gx4cxSmT3V1ZlPvu/zfMEwTNY9QV2JcAKrVquF2+3G1NQUrFYrotEoCgsL4zcQ/M1zNt4A\nBAIB2Gw2+Hw+qNVqCp2XAK/XC6vVilgsBq1Wi+rq6qS9NhWY6TE3Nwez2YyCggJs2bJlUcYiySxr\nycKcmprCuXPnkJOTg4KCAng8nvgqM/9ZycZrylotN+hnpUmywOJBP2IWmKlakZyZmUmYOEyym3Q/\ntWRJqbqhEbuQ9Hg8sFqtCIVC0Gg0oo7w57d+SqGQXCrCo7S0dNGT/0gkAp/PB5/Ph7GxsXhuWXFx\ncfxGgL8ZyMR/F77YiEQiNLFTIrxeLywWCxiGgU6nE3WUPBWYqeHxeGA2m5GTk4P29vZ1xz6QzJKT\nkxNvHygqKsKOHTtQWlqakIXp9/slnYW5ms1Okk1lHyb/2sk2OztLhaSEUCFJkqKwsBCBQCClx+A4\nDm63G1arFXl5eUlffVgrvpAsKioS/djJIBwMsNYMyMLCQtTU1CRsR+FvBnw+H/x+P5xOJ/x+P1iW\njW9nEg5lSMcWHX5iL8dxaft5IcnFr2Tw72kmZZFRgbkxXq8XZrMZHMdBr9cnZTAaSS+/3w+TyQSW\nZRc9FFgpCzMajcavKRMTE/Ht6vn5+Qmfk0zPwkyG9UySFbPA3Cza2iotVEjKTDauSLIsG88LUygU\n2LJlC8rLy1NyrLXI1giQZGdACm8GlEplwnH47Ux8/ALfL8MPZOCLzM1M/FsOP5zDZrMhPz+fbkwl\nYn5+HhaLBQCg0+kWTZrMZFRgLo0Pno9Go9Dr9Rn1UIBsjDAL0mAwrOvhXU5OzpIPLYGlszDD4XC8\nwBR+XtKZhSmGtRSYAJbdIivsw1zu+puKWRq8mZkZdHd3p+z1ibiokCRJwU9tTaZYLIaRkZF4pt+n\nP/3ptE+FBdI/WGi9xM6AzMnJQUlJCUpKSlBXV5dwHvzEP5/Ph4mJCQQCgYSR8pu5aeY4DlNTU7Db\n7SgpKUFnZyf1VkkAX0Dm5ORI7qGAXAvMQCAAi8WCUCgEnU5HqxMSEI1GYbVaMTs7C51Ol/T2gbVk\nYc7OzsLpdKYlCzMTJHOSbCrbd2hrq7RQISkz2bAiGQ6HYbfbMTWcdltmAAAgAElEQVQ1hZaWFuzc\nuTOjmvCzZUUy0zIghTfB9fX18T9fLttPeCPAF5lLPWlmWRYTExNwOByorKxET08PxQNIwNzcHCwW\nC/Ly8mAwGGTVLyfVAjMYDMJqtcLv98cLyEw7R7I+C7MgjUajqO/pSlmYy31WhDtjNpuFmQ3WM0mW\n4zgwDIPJyUnk5+cjGo0mfZIsFZLSkjl35ySrJaOQ9Pl8sNls8Hq98XDiTPzlnumF5FIDdDLx35En\nHCkvJAzF5p80h0KhhK1MoVAIbrcbSqUSF1xwQdb2rZK/m52djfdBG41GWRWQq8nWAjMUCsFms8Hj\n8UCr1dKwKwlgWTae2cw/8M2k68xyn5WlsjD5+Q7CLMx09vaLZalBP3NzcxgeHkZZWRk6OzuRl5eX\n9EmyNLVVWqiQlJlUXbzz8vISfrmsB3/jyDAMtFoturu7M/omg39Kl2mWKiAz+d9xNcuFYvM3pXa7\nHcXFxSgsLMTMzAw8Hk9CPInUp/1JzczMDKxWKwoKCtDe3p7WPuhsk6kFZiQSgdVqxdzcHDQaDTo6\nOrL6dxL55DozMTEBm82WlVmQG83CXDjoJxOnk29GIBDA8PAwOI5DV1fXsm0hyRj0MzMzkzBXgWS3\n7Pn0k4y2kX62yclJ2Gw2FBcXQ6/XZ83wjIKCgpRPqF0PqRWQy4lGo3A6nZiYmEBzczMuueSShBuY\nhdP++CEeUsnAlCKO4zA7OwuLxYKioiJ0dHRQAZlEK63K8L3KqSgwo9EobDYb3G435bVKBD/EzGw2\no6KiAtu2bUNhYWG6Tytp1pKF6ff7MTMzE59OLowqydYsTP5hz/z8PAwGw6r9ysmYJOv3+xdFjJHs\nlV0/8WTTUn0x53vxlsMwDMbGxuB0OlFdXY3e3t6s+4WSKVtb5VJAhsNhOBwOuN1utLa2LruFqqCg\nANXV1YumBK6UgSksLqX4lDlT8TelVqsVxcXFFDovstzc3JQUmNFoFA6HA5OTk1CpVNDr9ZLeGigX\n8/PzMJlMKCoqQm9vr6x60FcaHrdcFib/8FK4RTbTim6GYeB0OjE+Pg6NRrPphz2rFZj8SvaBAwfg\n9XpXvVck2SNnnSN+UzcPmIgmEomkZLTz8ePHceGFFy75RC4SicDpdMLlcqGxsRFtbW0Z94t1rTwe\nD+x2O3p7e0U/9kYyILNVMBiM91WpVCo0NDQk7aZ0YQYm/38zKQNTioRZsCUlJdBqtVRAZgFhgcnf\nOAsLzJKSEgSDQczPz0OlUqGlpYU+MxIgzIKU28CrjVqYhcl/RSIRFBQULHogI3YWpnBrMn8vluoH\nqIFAAEeOHMGxY8dw7733Yvfu3fT7ITus6QeTCkkZSlUh+dFHH2HLli0JTyv5YmB2dhatra1oaWnJ\n+lWfQCCAc+fO4dOf/rRox0x2BmQm8/v9sFqtCAQC0Gg0qKurE+37XJiByd8EiJWBKVUcx2F6eho2\nmw2lpaXQarVZtxOBLMZHPrhcLpSXlyM3NxehUChjhvyQjQmFQjCbzQgGg9Dr9evKgiTLE2ZhCgvM\nvLw8UbIwZ2dnYTKZoFAooNPpUv4wn2EY/PznP8cPfvAD3HjjjfjP//xPGoiXXdb0A0hbW2UoJycn\nJYUkP7m1pKQEHo8HVqsVoVAIGo0GnZ2dkrmJEHNra6ZFeKQS/zMTi8Wg0WjSEg2w3DYmfhCDsAcz\nmRmYUsUXkFarFeXl5RTNIhEsy8YzfpuamvAP//APCQ8IU92DSVIjEonEH/zqdDoolUp6b5JoI1mY\n/PVlM1mY/MoygBUH6SQLx3F49913MTAwgIsuugh/+MMfEq6nRFpoRVKGotFofFtkMp05cwZFRUVw\nu93Iy8uDVqtFVVWV5C5ELMvi+PHjuPjii1N2jKUKSCD1Pa7pwE/tzcnJif/MZAthBiZfZK4nA1Oq\nOI7D1NQUbDYbFAoFNBoNFZASwLJsvMe9oaEBKpVqXcNFVtsiSwVmevBZkBMTE1CpVGhqaqJ/+wwg\nnLq88PMijCpZbodMJBKBxWKB1+uFwWAQZWV5eHgY/f39AICHH34YW7ZsSfkxScrQ1laytFgstuGo\njqWwLAuXy4Xz58+jtLQUXV1dkp+8+N577+GSSy5J+uvKZYAO3ytns9lQWFgIrVYrqf4bYQYmX2QK\nMzCFQ37E7pFJJX4as91uh0KhgFarRXFxcbpPi2wSx3EYHx+Hw+GAUqmEWq1OarQOFZjpsTALsrW1\nlbbrZwFhFqbwASbHcSgpKUFpaSmCwSA8Hg90Op0oDwbcbjcOHTqEDz/8EPv378fnP/95+pxmPyok\nydKSVUjGYrH49ialUon8/HwUFhaira0tCWeZ2ZJdSMqpgOQLjfLycqjValkNW+G3MAlXMMPhMAoK\nCrI6A1MY51NZWQmNRkMFpAQIB3PU1tZCrVaLOiSNCszUWJgFqVarsy62gizGT2J1Op0oKyuLR5Wl\nMgszHA7j6aefxosvvoi77roLN954Y9bPwSBxVEiSpTEMs6kev3A4DLvdjqmpKTQ3N6OtrQ35+flw\nuVzw+/3Q6/VJPNvMlKxCUi4FJL9q7XA4UF1dDbVaTYWGgHDKH19kZkMGJn9DarfbUVVVRe+rRPBb\nk61WK6qqqqDRaDJqSAYVmBvD7wSxWCyorKyEVqvN2unpJNHMzAxMJtOS7+vCLEz+i2GYeIEp/FrL\nQ0yWZfHKK6/g8OHD+PKXv4y7775bVg+FZYKG7ZDk8vl8sNls8Hq9UKvVMBgMCdtg+GE7cpCTkwOW\nZTe8DUguBSSfGzoyMoK6ujrJhVgnS7ZlYHIcB5fLBbvdjurqalxwwQUZVWiQjREOR1IoFNi6dWtG\nPhhIVQ6mlM3NzcFsNssyC1LK/H4/hoeHkZOTg56eniWnYa81C1N4jSksLIwXlcPDw7jgggvQ2NgI\njuPw4Ycfoq+vD3q9Hr/5zW/Q3Nws5rdMMgytSMoQy7LrKvj4YSgMw0Cj0Sw7yS2d+Ypi++CDD9Db\n27uum2c5RXjEYrGE3NDW1tas2qqZydKZgSlcWa6pqYFGo6EHAxLAcRxmZmZgsVhQWloKnU4nqUJD\nziuYPp8PZrMZHMfBYDBIfn6BXEQiEZjNZvh8PhiNxqQPqeMfYo6MjODxxx+HyWTC7Oxs/O9uuOEG\nXH311ejq6kJDQ4OkPjMkjra2kqWtpZAU9jwVFRVBq9WisrJyxf8mGAzizJkz2LZtWzJPNyN9/PHH\nMBqNa9rKwU9e5aewAtItICORCBwOB6amptDS0iKJ3NBskcoMTGEBmY5eOZI6s7OzsFgsKCwshE6n\nk9X2NL7AXDi0RAoFpjAL0mAwZNU0bLI84YRdrVaL+vr6lP9cejwePPbYY3jzzTfxne98ByqVCmfO\nnMGZM2dw+vRpjI+Po7y8HFu2bMH3v/99SQ3OkzkqJMnSOI5DJBJZ8u/4rYhOpzPeG7PW4PBYLIYP\nP/wQO3fuTObpZqShoSG0tbWtWFzLKcIjFArBbrdjdnYWbW1taGpqoul/GWJhBqbP51tzBibLshgf\nH4fT6YRSqYRKpaICUiLm5+dhNpuRl5cHvV5PK1UC2VxgUhakNPGTk+12e3w2RaqvsdFoFC+88AKe\neeYZ3H777bjtttuW3Vnk9Xpx9uxZbNu2jR4eSwf1SJK1i0ajcDgcGB8fR1NTEy666KJ13zDm5eUl\nNVYkk+Xn5y87sGipAlKqRVUgEEjom21vb6eblgwjzLQUEmZgCvvJ+BBshmHg9XqhVCqpt1VCPB4P\nzGYzcnJyYDQaafVgCav1YPr9/ozrwYzFYnA4HJicnIRarYbRaKTfxRIhHKRz0UUXpbxNhOM4/O53\nv8O+fftwxRVX4J133ll1RVuhUGD79u0pPS+SmaiQlLlgMBh/etna2oqLL754w0+T5HTRWmqw0FID\ndKRaQPp8PlitVoRCIWg0GmzZskVW778U5ObmxlcjeSzLxsfHl5eXQ6lUIhgM4qOPPkJeXl7C9tiy\nsjJJZWBKHd8rxzAM9Hr9qq0KZLFMLDAXZkHu2LFDstcdufH5fBgeHkZeXt6yg3SS7dSpU7jvvvtQ\nW1uL//3f/4VGo0n5MUl2o0JShnJycuD1emGxWBAKhaBWq9HZ2Zm0i5twG6dUCVck5TKBFfhkO5zV\nagXLstBoNKiurpbs9yonwum6DQ0N2Llz56Kn3sIMzKmpKdhsNklkYEqd3++HxWJBJBKBTqdbNBmY\nbF46Ckzh5OT6+nps3749o6KByMaFw2GYzWYEAgHR+ltdLhf27dsHs9mMhx9+GJ/5zGfo2k7WhHok\nZYjjOJw8eRL19fVJLwSOHz+OCy+8UPIXtNHRUUQiEahUKskXkBzHxSf35ufnQ6PR0GqGRDAMg9HR\nUYyOjqKxsTGeCbsefAamsAczGzIwpS4YDMJisSAQCECv16Ompibdp0T+v830YFIWpHQxDAO73Y7J\nyUnRBukEAgEcOXIEx44dw7333ovdu3fTijbh0bAdsrxoNBovgJLpo48+wpYtWyQ1Ol6I/7y43W6c\nOnUK1dXVKC8vh0KhQHl5uaQu6HymnM1mQ0lJCTQaDQ3kkAiGYTAyMoKxsbENF5CrEWZg8jfLmZCB\nKXWhUAgWiwU+nw86nQ61tbWSfMAlRasVmHl5eZidnUVZWRmMRqMoWx1J6gkH6bS0tKC1tTXlxRzD\nMHj55Zdx5MgR3HTTTbjzzjspC5gsRIUkWV6qCsnBwUGo1WpUVFQk/bXTaakMSGE2Gf8ViUTiKzFl\nZWVQKBQoKyvLqpUYfsuUw+FARUUFNBqNZB8MyA3DMHA6nfGhWm1tbaIWcenMwJS6cDgMq9WK+fl5\naLVa1NXVUQEpER6PB+fPn0csFkNFRQWi0WjGDPkhm+N2u2E2m1FVVQWtVivKIJ13330XAwMD2L59\nOwYGBqBUKlN6TJK1qJAky4vFYimZsHr27FnU1dWhtrY26a+dDhvJgFy4EuPz+cAwDEpKSuI3yuXl\n5SgtLc2oG2WWZeN9cjU1NVCr1fSEUiJisRhGRkYwPj6O5uZmtLa2ZtQqYCozMKWOj3uYmZmBRqOh\ncHAJ4bcnL5cFmc0xJXLHD9LJz8+HwWAQ5WHt8PAw+vv7AQCHDh1CZ2dnyo9JshoVkmR5qSokLRYL\nSktL0djYmPTXFlOyMyAX3ijzWX4cxyXcJJeXl6O4uFjUC75wm2N9fT3a2toktUVXzmKxGJxOJ1wu\nF1paWtDS0pJRBeRqNpOBKXXRaBR2ux3T09NQqVRoamqS1fcvZZFIJL66vJHtyVRgZi7hIB2j0SjK\nvAG3242HH34YH374IQ4ePIjLL7+c3nOyFlRIkuUxDLNsDuJmOJ1OcBwHlUqV9NcWg9gTWIVZfvxX\nKBRKiGbgv5Jd3EWjUTidTkxMTKCpqQmtra1ZtQWXLE/43mZjAbmahZ8b/kZZmJnJf26KiookddPE\n5wVOTEzEC0haoZWGhVmQjY2NSY8KoQIzPRiGgc1mw9TUFHQ6nShbz8PhMJ5++mm8+OKLuOuuu3Dj\njTeKfh1wOp246aabMDExgZycHHzta1/Dt771LVHPgWwYFZJkeakqJF0uF/x+P/R6fdJfO5UyLcKD\nYZhF22OF/ZfClZj1Fn/hcBgOhwPT09NobW1Fc3OzpIoMOYtGo/Eb0dbWVrS0tMiqyGAYJuEmmX8w\nk5+fn/UZmML+Vjm+t1LGsixGRkYwOjqalveWCszU4TgOY2NjcDgcog3SYVkWr7zyCg4fPowvf/nL\nuPvuu1FWVpbSYy5nfHwc4+Pj2LZtG7xeLy688EL86le/QldXV1rOh6wLFZJkeSzLIhqNJv113W43\npqamsmbvfaYVkKvZTP9lMBiE3W7H3NwcVCoVGhsb6UZUIoQFZFtbG5qbm+m9FRBmYPI3ytmSgSnc\nep6J/a1k4xZmQapUqozaFUIF5uZMT0/DbDajpqYGGo1GlEE6H374Ifr6+mAwGPDQQw+hubk5pcdc\nr+uuuw533HEHrrrqqnSfClkdFZJkeakqJD0eD+x2O3p7e5P+2smUbQXkSlbrvywsLIxn+4mVTUXE\nEYlE4qvLbW1ttM1xndaSgbnRlf/NYlkWo6OjGBkZQWNjI1QqFRWQEsFHK1ksFlRXV0Oj0WRVX/pa\nCky+yJRjgen1ejE8PIzCwkLo9XpRBuk4nU4MDAxgZmYGjzzyCLZu3ZryY66XzWbDpZdeiqGhIclN\n9pcoKiTJ8jiOQyQSSfrrBoNBnDlzBtu2bUv6a2+WMLZDCgXkaubn52E2mxEKhaBQKMAwjGj9lyS1\nIpEI7HY73G43FZApkM4MTJZlMT4+DofDgfr6eqjV6oxapSKbMzc3B5PJhJKSEuh0OklFK8m9wAyF\nQvFrrsFgEGWQjsfjwWOPPYb/+7//w4MPPogvfvGLGfnv6vP5cNlll+G+++7Drl270n06ZG2okCTL\nS1UhyTAMPvjgA+zcuTPpr71RS2VASrmAnJubg9VqBQBotdpFI+MXbvNLZv8lSS1hAUnbk8UlzMAU\nRpQszMDcaLSPcJujUqmEWq3OuG22ZON8Ph9MJhNycnKg1+tRXl6e7lMSjdQLzFgsBrvdjqmpKej1\neiiVypR/D9FoFC+88AKeeeYZ3H777bjtttsy9vdFNBrFl770JfzjP/4j7rrrrnSfDlk7KiTJ8lJV\nSHIch/fffx+XXHJJ0l97I+cijPAApFtAchyHmZkZWK1WFBYWQqvVQqFQrOs1sjX/Ug7C4TDsdjtm\nZmagVqvR0NBA70GGWGlr+VoyMDmOw+TkJKxWa7yXinYISEcwGITZbEY4HIZer1/0YE/Osr3A5LOX\nnU6naEOSOI7D7373O+zbtw9XXHEF9uzZk9E/UxzH4eabb0ZNTQ0ef/zxdJ8OWR8qJMnKIpEI1vn+\nr8l7772X1kIy2RmQmYy/CbXb7SgrK4NGo0nqdLalbpL9fj8ApD3/Ug7C4TBsNhtmZ2dTEgdAUkeY\ngcl/boQZmGVlZWAYBtPT06iqqoJOp0NRUVG6T5skyWazIOUs0wtMjuPgdrthNptRW1sLjUYjyu6d\noaEh3H///VAqlThw4AA0Gk3Kj7lZ7777Lj73uc+ht7c3XmQfOHAA1157bZrPjKwBFZJkZaksJC++\n+OK0/HKXS/8jy7JwuVxwOByoqqqCWq0WtdcmnfmXchAKhWCz2TA/Px9fgZTqz7LcMAyDsbEx2O12\n5Ofno7CwEJFIRBYZmHIg3Oao0Wjos5tEmVBgCgfpGAwGFBcXJ/0YC7lcLuzbtw9msxmHDh3Czp07\n6WeKiIEKSbKyaDQaL7qS6fjx47jwwgtF66+TUwHJ34SOjIzE+6gyqVCj/svNERaQGo2GJuxKzMzM\nDCwWC0pKSqDValFaWhr/OylnYMpBurMg5UyMAjMUCsFkMiEcDsNoNIoydTQQCODIkSM4duwY7r33\nXuzevZt+poiYqJAkK0tVIfnRRx9hy5YtKV8hk1MBGYvFMDIygvHxcTQ0NKCtrS1jG+uXQv2XKwsG\ng7DZbPB6vdBoNKirq5Psz7Iczc3NwWw2o7CwEDqdbl3bz7M5A1MOOI6LT9ltaGigmJYMkowCMxaL\nwWazwe12Q6fTiTJIh2EYvPzyyzhy5Ahuuukm3HnnnbTtnaQDFZJkZbFYDAzDJP11h4aGoFKpUvbE\nTk4FpDBovqWlBS0tLZK5SVkt/1IO/ZfBYBBWqxU+nw9arVaUmxQiHj6CJy8vL+mTOjM5A1MOsj0L\nUs7WUmCWlpbC5/NhYmICKpUKzc3NogzSeeeddzAwMIAdO3ZgYGAASqUypcckZAVUSJKVpaqQPHfu\nHJRKJWpra5P2mnKL8BBO6WxtbRXlIpYp5NB/GQgEYLVaEQgEoNFoqICUGK/XC7PZDI7joNfrRQ3f\nTmcGplzMzs7CbDajpKQEer1elD45knp8gTk+Po7x8XHk5+cjNzc3oX85VT2Y58+fR39/P3JycnDo\n0CF0dnYm7bUJ2SAqJMnKUlVIWiwWlJaWorGxcdOvxU9e5aewAtIuIPktjh6PB2q1GvX19bIpIFcj\nhf5LYQGp1WppkqPE+Hw+WCwWxGIx6HS6jBnLn+oMTLnwer0wmUzIzc2FwWBI6oRskn4ejwfDw8Mo\nLi5OeECQyh5Mt9uNhx9+GB999BEOHDiAyy+/nK4JJFNQIUlWxjAMYrFY0l/X6XSC4zioVKoNv4ac\nIjyAT25AbTYbgsEgrVCtUzb0X/r9flitVoRCIWi1WtTU1ND7KyGBQAAWiwWhUAh6vR7V1dXpPqU1\n2WwGplwIsyANBgMqKyvTfUokifj3NxKJwGg0rjmDea0FZllZGYqLixN2AITDYTz99NN48cUXcddd\nd+HGG2+kHQIk01AhSVbGsiyi0WjSX9flcsHv90Ov16/7v12qgJTyDff8/DxsNhtisRi0Wi2qq6sl\n/f2KJVPyL30+H6xWK8LhMHQ6Hb2/EhMMBmGxWBAIBKDT6STzgGC1DEw59C8Dnzykslgs8Hg80Ov1\nknl/ySdisRisVitmZmag1+uTtkNkYYFpt9tx1113IS8vL36df//993Hddddh3759Se2dJiSJqJAk\nK0tVIel2uzE1NbWuPf5yGqDDcRxmZ2dhs9mQm5sLrVZLT7hFIlb/Jb/FMRqNxlcgiXSEQiFYrVZ4\nvV5ZDUla6fMjpQxMyoKUNpZlMTo6ipGREbS1tYk2SOdPf/oTDh06hNLSUhgMBjgcDlitVuTn56Oj\nowNdXV3o7u7G5z//+TWvihKSQlRIkpVxHIdIJJL01/V6vbDZbOjt7V3TOcipgJyenobNZkNxcTG0\nWi09icwQa+2/LC8vX3H7kdfrhdVqRTQaja9AEumIRCKwWq2Ym5ujnE+BpTIww+Ew8vLyFu0AyOQB\nWZQFKW0cx2FqagoWiwV1dXVQq9Wi9NM7HA4MDAxgbm4Ohw8fxtatWxP+PhwO4/z58zh9+jROnTqF\n2267DW1tbSk/L0JWQYUkWVmqCslQKITTp09j27ZtKx5bTgXkxMQE7HY7FAoFNBpNQhA5yVxL9V8u\nNaCEYRjYbDYwDJNRQ1ZIckQiEdjtdrjdbqjVajQ2Nkr291UyLfeAJtMyMCkLUvrm5+cxPDyM0tJS\n6HQ6USbtejwePPbYY3jzzTfx4IMP4tprr6XfGySbUCFJVpaqQpJhGHzwwQfYuXPnouMBkE0BybIs\nxsfH4XQ6UV1dDbVaTWPiJUDYfzk9PY2pqSkwDIPCwkJUVFTIpn9MDoQ5rnwBSStUm5cpGZj8CpXV\nakVNTQ00Gk1aC1qSfMFgECaTCdFodF2DdDYjGo3ihRdewDPPPIPbb78dt912G/1ckWy0ppuXzJyR\nT0SRqhvcvLy8hFgRuWVAMgyD0dFRjI6Ooq6uDtu2bcvo7VxkfXJychCJRDAyMgIA2Lp1KyorKxP6\nx+bn5zE6Oiq5/Eu5iMVicDqdcLlcaGtrw86dO6mATKKCggJUV1cv2vot3AEwOjqa0gxMPguytLQU\nW7dupYd8EhONRmGz2TAzMwODwZDUXOvlcByHN954A/v378cVV1yBd999l+YfEMmjFUmZi0QiWOfP\nwJq89957uPjii2WVARmNRjEyMgKXy4Wmpia0trZmbJ4h2Zj5+XlYLBbk5ORAp9OtKWg+Wf2XJPUY\nhoHT6cT4+DhaWlrQ0tJC70maJTsDk7IgpU3Y56pSqdDc3CzKPcfg4CD6+vqgVCpx4MABaDSalB+T\nkBSjra1kddFoNL7NNFk4jsN7772Hrq4ulJaWxm/EpFpARiIROBwOTE1NobW1Fc3NzXTzKTFzc3Ow\nWCzx8e1rKSBXkw35l3IhvPlsampCW1sbfYYz3HozMMPhMGVBSphwkE59fT3UarUon2GXy4WHHnoI\nFosFhw4dws6dOyV7r0NkhwpJsrpkFpLCATqTk5OYmpqKX9jFzO4TSygUgt1ux+zsLFQqFfVPSdDs\n7CysVivy8vKg0+lS3l+TKfmXcsGyLMbGxuB0OtHY2Ii2tjbaRZDlFmZger1ezM3NgWVZVFRUoLa2\nlj5DEiMcpKPX61FUVJTyYwYCARw5cgTHjh3Dvffei927d9P1n0gNFZJkdckoJFebwCrsHfN6vfHs\nsfz8fJSXl0OhUMQv7NlwE+f3+2G32+Hz+aBWqykCQIJmZmZgtVpRUFAAnU6X9pgWsfIv5YJlWbhc\nLjgcDtTV1UGlUtEwDIkRZkHyWZ/CAlOqGZhyEgwGMTw8DIZhYDQaRfk9zTAMXn75ZRw5cgQ33XQT\n7rzzTlEKV0LSgApJsrpYLJYwGGc9NhvhIZzcx3/FYrGM3drHZwRGIhFoNBrU1tbSzYaEcBwXX4Es\nLCzMipxP6r9cH47j4HK5YLfbUVtbC7VaTYW3xDAMg5GREYyNja0pbF4qGZhyEo1G43muer1etEE6\n77zzDh544AFs374dAwMDUCqVKT8uIWlEhSRZ3UYKyVRmQC7c2uf1ehEIBJCTkxO/qPMrmIWFhaIU\ncnNzc7BareA4DlqtlkLmJYbjuPgKZHFxMbRabdYP4KD+y0Qcx2FychI2mw1VVVXQaDS0iiAxfBak\n3W5HY2PjprMgsyUDU05YloXT6cTY2BjUajWamppEuQc4f/48+vv7kZubi0OHDqGjoyPlxxS65ZZb\n8Oqrr6K+vh5DQ0OiHpvIGhWSZHUMwyAWi636/5fuDEjhU2P+KxwOp2zlhS8ubDYb8vPzkzZghWQO\njuPgdrthtVpRUlIiiQJyJXLsv+Q4DtPT07BarVAoFNBqtRTzIDFiZ0FmSgamnPAPgqxWKxoaGjb9\nkGCt3G43Dh48iL/97W84cOAALr/88rT8Xnz77bdRXl6Om266iQpJIiYqJMnqWJZFNBpd9u8zPQNS\nuPLi9XrjY+H5lRd+9bKkpGRN58zflNjtdlkUF3IkLCBLS0uh1WpRWlqa7tNKGyn2X/IPgiwWC8rK\nyqDValFSUpLu0yJJNjs7C5PJhLKyMuh0urQ+JFi4CyCVGR0ECqAAACAASURBVJhyMjc3h+HhYZSX\nl0On04mykyAcDuPHP/4xjh49irvuugs33nhj2t8zm82GL33pS1RIEjGt6UafHpeRJQnzHzOxgOQV\nFhaipqYGNTU18T/jOC5huM/4+DiCweCiG2OFQhF/cs2yLCYmJuBwOFBZWYmenh668ZQY4epUeXk5\nvcf/n/BzISTc2sev+GRD/yUfNF9cXIzu7m5ZPySQKj4LMi8vD11dXRnxsG+5a5EwA9PpdG4qA1NO\nAoEATCYTGIbBli1bROlXZ1kWx44dwyOPPIJdu3bhz3/+M/3+IGQVVEiSBAsLSL54zLQCciV8P2VZ\nWRkaGhrif87fGHu9XkxOTsJisSAajYLjOESjUVRUVMBgMKC6upou6BLCrzLbbDaUl5ejt7eXCsg1\nyM/PR2Vl5aK8PeHKy+joaMb0X/JZn/n5+ejs7Mz4QUlk/QKBAMxmM6LRKPR6fcZnQebk5KC4uBjF\nxcUJg1kWbjMXRmUtlYEpp+tRNBqFxWLB/Pw8DAZDQmGeKhzH4YMPPkBfXx+MRiN++9vfoqmpKeXH\nJUQKaGurzHEch0gkktIBOpkoFothdHQUo6OjUCqVqKioiF/Y/X7/ouxLhUJBI+GzDN9XY7fboVAo\noNFoqIBMkXT2X3o8HpjNZuTk5ECv16c865OILxwOw2q1wuPxiDalMx0WZmD6/f74sLnS0lJJ9jHz\nhIN0NBoNGhsbRfn+HA4HBgYGMDs7i0ceeQRbt25N+TE3gra2kjSgHkmyuqmpKUxMTKCtrQ15eXmS\nLyCj0SgcDgcmJyfR3NyMlpaWJQci8H1jfO6lMPtSmHuZLdmXciKc0FlZWQmNRkMDVtIklf2XPp8P\nZrMZLMtCp9Nl/OoUWb9oNAq73Y7p6WlotVrZZvau9DnK9gxMjuMwMTEBm80m6iCd+fl5PPbYY3jr\nrbfw4IMP4tprr83ofzcqJEkaUCFJVnf8+HHs378/Plymu7sbXV1d6OnpQU9PD6qqqjL6l+tahcNh\nOBwOTE9PrylbbDnCiX38cJ+F2ZcKhUJ225EyAX9DYrfbUVVVBbVaTQVkhhJuM+f7MNfaf+n3+xO2\nN1ZVVaXpuyCpst4sSLlaKgOTf+CZDRmY/LAkhUIBnU4nyjlGo1H85Cc/wbPPPovbb78dt912W8bH\nt/zrv/4r3nrrLUxPT6OhoQEPPvgg/uM//iPdp0WkjwpJsnYcx8Hj8WBwcBAnT57EyZMnMTg4CI/H\ng9bWVvT09KC7uxs9PT0wGo0Z/4uXFwwGYbPZ4PF4oFKp0NDQkPQbEn5bn3D1kt+OtPCmmLLrkk8Y\nMl9dXU0ZgVlspfzLoqIi+Hw+sCwLg8Eg2e2NcsayLMbHx+FwONDU1BTfKUPWJ9MzMP1+P0wmEziO\ng9FoFGVYEsdxeOONN7B//35ceeWV2LNnD+1iIGRlVEiSzWNZFna7HSdPnsSJEycwODgIk8mE/Px8\ndHR0xIvLnp6ejNp25Pf7YbVaEQgEoNFoUFdXJ/q5Lcy+9Hq9i1ZdFAoFjYPfIJZl4XK54HA4UFNT\nA7VaTQWkBAWDQQwPD8Pr9aKysjK+zQ+Qbv6l3IidBSlX6c7AjEQisFgs8Hg8MBqNqK6uTvoxljI4\nOIi+vj4olUocPHgQarValOMSkuWokCSpwXEcgsEgTp8+jRMnTsRXLycnJ9HQ0IDu7m50d3ejt7cX\nnZ2dovZseDweWK1WxGIxaDQa1NTUZNyNJb/qwq9gCrMvhf2Xa82+lBthAVlbWwu1Wp2R27bI5ggH\nrGi1WiiVyoTPg7CPmd8mm03b+sgnZmZmYDabUV5eDq1WS9vRRcYP3BM+9Ex2BibDMHA6nRgfHxd1\nkI7L5cJDDz0Ei8WCw4cPY8eOHXRNJWTtqJAk4uK3GJ44cQInTpzA0NAQzpw5A4ZhYDAY4ttje3t7\n0dLSktQtprOzs7BarcjJyYFWq826vilh9iVfZC4cSsIXmXJ9Us9ve3M6nVAqlVCpVFQgSFAkEoHN\nZsPs7Cw0Gs26dzpspv+SiMfj8cR3t+j1+ozIgiR/tzAD0+/3rzsDk78nsNlsom5V9vv9OHLkCF55\n5RXcd999uP7666nHlpD1o0KSZIZIJIJz584lrF6OjIygsrIyofeyu7sbZWVla75p5DgObrcbNpsN\nhYWF0Gq1khv9L7wp5i/o0WgURUVFCauXZWVlkr1QsiyLsbExjIyMQKlUQq1Wy7aYljLhhE61Wp30\nVYuV+i8pGF48wixIg8GAioqKdJ8SWYelon6WysBkWRYOhwOVlZWiDdJhGAYvvfQSfvjDH+Kmm27C\nnXfeSe0OhGwcFZIkc3Ech5mZmXjv5dDQEE6dOhXvaeS3x/b09ECn0yU8xWQYBv/zP/+DlpYWtLa2\nQq1Wy+pp9sInxfwXAEllX7Isi9HRUYyMjKC+vh4qlYoKSAmKxWKw2+2YnJyESqVCU1OTaIWccFAW\n/8BGLrl9YguHw7BYLPD5fNDr9aIEzRPx8BmYbrcbTqcTDMMgPz8feXl5Kf8scRyHd955Bw888AB2\n7NiB/v5+KJXKpL0+ITJFhSTJPgzDwGw2J6xeWq1WFBcXo7OzEyzL4v3338dFF12EvXv3orW1Nd2n\nnDGkkn3JMEx8BbKhoQFtbW1UQEoQwzBwOBxwuVxobW1N+nb3zaD+y+ShLEh54AfpeL1eGAyG+CCd\nVGdgnj9/Hn19fcjLy8OhQ4fQ0dGRim+PEDmiQpJIQyAQwI9+9CM89dRTMBqNaGlpwdmzZzE3N4eW\nlhb09PSgq6sLvb29MBqNdGO3wGrZl3yRWVpamtYbPIZhMDo6itHRUTQ2NqKtrS2jC16yMcKMwJaW\nFrS0tGRNryL1X66dcMCK2CvNRDz8A6GJiQloNBo0NDSs6Tqy2QxMt9uNgwcP4m9/+xsOHjyIyy67\njB5QEJJcVEiS7Ob3+/Hkk0/iZz/7Gf7t3/4Nt99+e0LuE8uycDqd8e2xJ0+exPDwMHJzc9HR0RGP\nJenp6VnzxU0u1pp9qVAoUl6YCwsLKiClS7hVWWoZgZFIJGH1cr1DSaSEsiDlQThIp7m5GW1tbUn5\n2V4qA/PJJ5/EuXPn0N7ejo6ODrjdbrz55pv43ve+h6985Sv080VIalAhSbLb/Pw8fvrTn+KWW25B\naWnpmv4bvkDio0kGBwfj0SRKpTKh93LLli3U97SA8CkxX2QKV1z41ctkZF8KVyzohlO6+GFJTqcT\nDQ0NUKlUsnhQILf+S47jMDk5CavVSkOxJG5mZgYmkyk+SEeM99nlcuGFF17A73//e7Asi8LCQszN\nzaGhoSH+wLi7uxtdXV2SG7pHSJpQIUkIj+M4TExMJKxenj17FtFoFHq9Pn4h6u3tRWtrq+RXDdaL\nX3ERjoJnWTbhhlihUKzphjgWi2FkZATj4+Nobm5Ga2srFZASxHFcfGWKCou/W6mXOVv7L4VZkDqd\njiZlSpTP58Pw8DDy8vJgMBjW/IB3MziOwwcffIC+vj4YjUbs27cPTU1N8b+bnJzEqVOnMDQ0hKGh\nIeTm5uKpp55K+XkRIgNUSBKymmg0Go8m4VcvnU4nFApFvPeSf9KpUCiyftUgmYTZl/xNsTD7Ujjg\np6CgALFYDE6nEy6XK+t648ja8Q9tbDYbampqoNFosqYgSqdYLJawnc/v92d8/6UwC1KswoKILxKJ\nwGw2w+fzwWg0ipbT7HA40N/fj/n5eRw+fBhbt24V5biEEABUSBKyMRzHYXZ2FidPnoxPjh0aGoLf\n74darUZ3dzd6e3vR3d0NnU4ni21667Hwhpjf0scwDCorK9HY2IiKigpJZ1/KEcdxmJqagtVqRWVl\nJbRaLa1MJUEm9l8GAgGYTCbEYjHKgpQw4SAdMSfuzs/P47HHHsNbb72FBx98ENdeey09xCVEfFRI\nEpJMDMPAYrEkFJgWiwWFhYXo6uqKT47t6elBTU2N7C980WgUDocDk5OTaGlpgVKpTNjS5/f7AXyS\nfSlcvczm7Es54jgObrcbFosFCoUCWq0WxcXF6T4tSeM4DsFgcFEofKr7LykLUh74bel2uz2pg3RW\nE41G8ZOf/ATPPvssvvGNb+DWW2+l7fCEpA8VkoSkGsdx8Pl8OHXqVEL25ezsLJqbm+PDfXp7e9He\n3o6CggLJF0nCArKtrQ3Nzc3L3oSwLLtoQl8oFEJBQcGi7Xy08pt5+N640tJS6HQ6lJSUpPuUZG25\nz9Nm+y+j0ShsNhvcbjd0Oh3q6uok/3tMrtxuN8xmM6qqqqDVakUp5DiOwxtvvIF9+/bhqquuwp49\nexImtBNC0oIKSULShY86EBaX586dQ05ODtrb2+OTY3t7e9HQ0CCJLZ7C4PHW1tYVC8i1vJZwa6zP\n5wPDMBmXfSlXs7Oz8dV4nU6HsrKydJ8SWcFG+y8pC1I+hIN0jEajaA+FBgcH0dfXB6VSiYMHD0Kt\nVotyXELIqqiQJCSTcByHSCQSjybhC0yXy4Xa2tp4cclHk5SUlGRFkRSJRGC32+F2u9HW1paym82V\ntvOJnX0pV/Pz8zCbzcjLy4Ner0d5eXm6T4lsQjgcXlRg8g9sOI6D1+tFY2OjaCtTRHzhcBhmsxmB\nQABGo1G0lUCXy4W9e/fCarXi8OHD2LFjR1Zc7wiRESokCckG/Ahzvvfy5MmTOHPmDCKRCPR6fUL2\npVqtzpgVAWEBqVKp0NjYmJZzEzP7Uq68Xi/MZjMAQK/XU06bRPETdy0WC8rKylBWVoZAICDp/Eu5\nYhgGdrsdk5OTom5X9vv9+MEPfoBf//rXuP/++7Fr166MuaYRQhJQIUlINovFYjh//nzC6qXD4UB5\neXlCcdnd3Y2KigrRbujC4TDsdjtmZmagVqszdmvuUqstG82+lCufzwez2QyGYaDX66lvScL4fld+\nYNLCibtL9V+Gw2Hk5eVlbf6lHHEch7GxMTgcDrS0tIiWm8wwDF566SUcOXIEX/3qV3HHHXfQVGdC\nMhsVkiR7OJ1O3HTTTZiYmEBOTg6+9rWv4Vvf+la6TyvjcByHubm5eGHJf/l8PqhUqvjk2O7ubhgM\nhqQOqAmHw7DZbJibm4uvQGZbAbZU9mUwGIwPI1mYfSlXfr8fFosFkUgEOp0O1dXV6T4lkiJ8FmRB\nQQH0ev26syAX9l/6fD5Eo9GMzr+UK7fbDZPJFM93FWuQzjvvvIOBgQHs3LkT/f39UCqVKT8uIWTT\nqJAk2WN8fBzj4+PYtm0bvF4vLrzwQvzqV79CV1dXuk8tK7AsC6vVipMnT+LEiRMYHByE2WxGQUEB\ntmzZkpB9qVQq11UAhkIh2Gw2zM/Px1cgs62AXM1S2ZexWCwhq0+hUIia1ZcOwWAQFosFgUAAOp2O\nYmwkzO/3x1ebDQZD0rcrL7cjIJ35l3Ll8/lw/vx5FBQUwGAwiDZI5/z58+jr60NeXh4OHTqEjo4O\nUY67lNdeew3f+ta3wDAMbr31Vtxzzz1pOxdCsgQVkiR7XXfddbjjjjtw1VVXpftUshbHcfD7/Th1\n6lRC9qXb7UZTUxO6urriBWZHRwcKCwsTigaz2Yw//elP6OjogEajES2MOlNwHIdwOBxfueRvhnNy\nchZt5cv27MtQKASr1Qqv1wudTofa2tqs/n7I8kKhECwWC/x+v+hZkOnKv5SrdA3SmZ6exsGDB/Hx\nxx/j4MGDuOyyy9L6XjIMg/b2dvzud79Da2srtm/fjpdeeokeVBOyMiokSXay2Wy49NJLMTQ0hIqK\ninSfjuSwLIvx8XGcOHEivnp59uxZAIDRaERraytOnToFu92O//qv/8K//Mu/0A2dwMJeMa/Xi3A4\nnJB9qVAoUFZWlvHZl8LtylqtlvIBJYzPgpyZmcm49zpV+ZdyFYvFYLfbMTU1JeognVAohB//+Md4\n6aWX8J3vfAdf+cpXMmI78/vvv48HHngAr7/+OgDg4MGDAIA9e/ak87QIyXRr+qWR2Xc5RHZ8Ph+u\nv/56PP7441REpkhubi5aWlrQ0tKCa6+9FsAnKwXnz5/Hvffei2PHjmH79u1gWRaPP/44XnjhBXR1\ndcWjSbq6umSd35ibmwuFQrFoK2A0Go2vXo6OjiZkXwp7LzPh3044cVej0aC9vT3t50RSg2EYOBwO\nuFwuqNVqGAyGjHuvl/tMCbecT05OwmKxUP/lCjiOw+joKJxOJ1pbW7Fjxw5Rtg2zLItjx47h8OHD\n2L17N/785z+vu9c2lUZHR9HW1hb/362trTh+/Hgaz4gQ6aBCkmSMaDSK66+/HjfccAN27dqV7tOR\nDYvFgv379+Ps2bPYs2cPvvjFL8ZvNDmOw/T0dLz38vnnn8fp06cRDoeh0+niU2P5aBI538wVFBSg\npqYmYavgwq18LpcLwWAQubm58ZUWvsgUY6UlGo3CbrdjenoaKpUqI4sKkhwsy2JsbAxOpxPNzc3Y\nsWNH1n0+8/PzUVVVhaqqqoQ/F/ZfjoyMxPsvS0pK4kOzysrKZNV/OT09DbPZjJqaGlx00UWiDdL5\n61//ir6+PnR0dOC1115DU1NTyo9LCMkctLWVZASO43DzzTejpqYGjz/+eLpPR1ZeeOEF1NfX4wtf\n+MKai4pYLIbh4eGE3ku73Y7S0lJ0d3cnrGBWVlZSsbIAn30p7L/ksy+Fq5fJyr6MxWJwOByYmJhA\nW1sbmpubZXODLTd8Lq3VaoVSqYRGo8n4LdbJsFL/JZ+JKcX+S6/Xi+HhYRQWFkKv14s2SMfhcKC/\nvx/z8/M4fPgwtm7dKspxN4K2thKyIdQjSbLHu+++i8997nPo7e2N3+AeOHAgvvWSZD6O4+DxeBKK\ny5MnT8Lr9aKtrS1hcqzBYJB1vMZyhCstXq8Xfr8fHMdtOPuSYRg4nU6Mj4+jtbUVLS0tVEBKmNvt\nhtlsRkVFxZJZkHIk1f7LUCgEs9mMUCgEo9EoWivI/Pw8Hn30Ufzxj3/E3r17cc0112R8UR6LxdDe\n3o4//OEPaGlpwfbt23H06FF0d3ev+t9yHIfPfe5zuO+++3DNNdcAAH7xi1/gueeew2uvvZbqUyck\nnaiQJISkH8uysNlsGBwcjA/3MZlMyM/PR2dnZzz7sqenJ6MGgGQKlmURDAYTVi9DoRDy8vIW9Ynx\nxTnDMBgdHcXo6Ciam5vR2tqaddsaydrNz8/H4342kgUpR8vlXxYVFSVsj820/stYLAabzYbp6Wno\n9fp1xzltVDQaxfPPP4/nnnsO3/jGN3Dbbbdl1Ur3b37zG3z7298GwzC45ZZbcN999635vx0aGsI/\n/dM/4W9/+xtisRg+/elP47XXXoNer0/hGROSdlRIEkIyE8dxCAQCOH36NE6cOBFfwZyamkJjYyO6\nu7sTokmyPV4jFZbLvuQ4DpFIBDU1NVCr1VAoFLQKKVGpzoKUG/6zs1T+Zbr7L4U9r2LuLmBZFm+8\n8Qb279+Pq6++Gvfcc49oMSKZ5Lvf/S7Kysrg9/uhUCjQ19eX7lMiJNWokCSEZBeWZeFyuRKKy7Nn\nz4JlWRgMhvhgn97eXurzE+AjXex2O2pra1FZWRnvF5Nq9qWcCbMgDQYDqqur031KkpbO/kt+4JnF\nYkFtba2oPa+Dg4O4//77UV9fjwMHDkCtVoty3Ezk9/uxbds2FBYW4oMPPqBt40QOqJAkhEhDJBLB\n2bNnEwrM0dFRVFVVJUyO7erqQllZmWwKJI7j4HK5YLfboVQqoVarl+w9XWv2ZaZt4yOJMjkLUo5W\n67/kVy8VCsWGesI9Hg+Gh4dRVFQEg8GA4uLiFHwXi7lcLuzduxdWqxWHDx/Gjh076OcMQH9/P8rL\ny/Hd73433adCiBiokCSESBfHcXC73QnDfU6dOoVgMAitVhvfHtvT0wOtViupAomfzGmz2VBdXQ2N\nRrOhQSHC7Ev+i9/GJ1y9zITsSzlbmAXZ1NRE70cG22z/ZSgUgslkQjgcRnt7u2hblv1+P37wgx/g\n17/+Ne6//37s2rWLdn0IPPDAAygvL8fdd9+d7lMhRAxUSBJC5IdhGJhMpoTVS6vVipKSkoTisqen\nB1VVVVl1Q85vc7NarSmbzCncxscXmcLsS2E8STZNucxGC7Mg29ra6MY+S62l/7K0tBRzc3PweDww\nGAyora0V5fcTwzA4evQonnzySdx888244447aOvmEqiQJDJDhSQhhACf3MR5vd6EWJLBwUF4PB60\ntLQkDPcxGo0ZF03CcRxmZmZgsVhQVlYGrVYrWl4cj2GYRasskUgERUVFCdtjy8rKqNjZJI7jMDEx\nAZvNhrq6OqjV6qyakEnWjh88ZrfbMTU1heLiYnAcl9DXzD/ASXZfM8dxeOeddzAwMICdO3eiv78f\nSqUyaa8vNVRIEpmhQpIQQlbCsiwcDgdOnjwZX8E0mUzIy8tDR0dHfOWyp6cH9fX1aVm95AvI4uJi\n6HS6jIp2EK6y8KuXwuxL4eqllELgU4V/YMBnQep0Olr1lTB+h4HZbF70wCDV/Zfnzp1DX18fCgoK\n8PDDD6OjoyPZ3x4hJLtRIUkI+btQKIRLL70U4XAYsVgMu3fvxoMPPpju08o4/NbO06dPJ/RfTk1N\noa6uDl1dXfHVy87OzpQVSHNzcwnZgGVlZUk/RqqwLItAIJBwExwMBpGfn79s9qXczc/Pw2Qyoaio\nCHq9XvQVZyIufpBOcXEx9Hr9mgfpbLb/cnp6GgcPHsTHH3+MgwcP4rLLLqMHPISQpVAhSQj5O47j\n4Pf7UV5ejmg0is9+9rN44okn8JnPfCbdp5YV+Amp/Orl4OAgzpw5g1gsBoPBEF+57O3t3VTGm8fj\ngdlsRm5uLvR6PcrLy5P8naQPfxMsHPATi8VQXFycMDlW7Iy+dPL7/TCZTPGIG8qClLZgMAiz2YxI\nJAKj0ZiU93u5/su9e/eCZVl0dnZiy5YtcDgceOONN3D33XfjK1/5iqQGkBFCko4KSULI0gKBAD77\n2c/iRz/6EXbu3Jnu08lq0WgUZ8+eTVi9HBkZQUVFRcJwn+7ubpSXly/79H90dBRTU1PgOA56vR4V\nFRUifyfpwXEcQqHQopvghdmXCoUChYWFklk9oSxIeRFGt+j1elF6ERmGwZkzZ/Dzn/8c7733Hvx+\nP/Ly8lBQUIDOzs74g6+enh60trZK5rNFCEkKKiQJIYkYhsGFF14Ik8mEb37zmzh06FC6T0mSOI7D\n7Oxswurl0NAQAoEANBpNwuRYj8eDvXv3Ijc3F88//zyqqqrSffoZQdgjxq9gCrMvhf2X2bSyEo1G\nYbVaMTs7C51OB6VSSTfwEsayLEZGRjA6OgqVSoXm5mZR3m+O4/DXv/4VfX196OjowEMPPYSmpiYA\nQDgcxrlz5zA0NIShoSEMDg6ioaEBzz77bMrPixCSNaiQJIQsbW5uDl/+8pdx5MgR9PT0pPt0ZINh\nGJjNZgwODuLNN9/EK6+8Et/SyBeYvb296O7uRk1NDRUYS1i4hW+p7EuFQoGSkpKM+vfjsyAnJiag\nUqkoC1LiOI7D1NQULBYL6urqoNFoRHvgYbfbMTAwAI/Hg8OHD+NTn/qUKMclhEgKFZKEkOXt3bsX\npaWlNMpcZA6HA/v27cPp06cxMDCAK664An6/H0NDQwnZl3Nzc2hubo5vi+WjSWiK52KZnH3JsixG\nR0cxMjKClpYWtLa2yqb/U67m5+cxPDyM0tJS6PV60TIZ5+fn8eijj+KPf/wj9u7di2uuuYYeVhBC\nNooKSULI301NTaGgoABVVVUIBoO4+uqr8b3vfQ9f+tKX0n1qsvH222/ju9/9Lu6//3588YtfXPEm\nj2VZOJ1ODA4OxgvM4eFh5Obmwmg0Jgz3qa+vp+JkCenMvqQsSPkJBoMwmUyIxWIwGo2iDcqKRqN4\n/vnn8dxzz+Eb3/gGbrvtNvpZI4RsFhWShJC/O3nyJG6++WYwDAOWZfHP//zP6O/vT/dpyUosFkNu\nbu6GixZ+MM2ZM2cSVi8nJiagVCoTei+3bNlC2Y1LSHX2JcdxcLvdsFgsqKyshFarpVVkiRP2vRoM\nBtTW1opyXJZl8frrr+PAgQO4+uqrcc8996CyslKUYxNCJI8KSUIIkQOO4zA5ORkf7nPy5Ml4NIlO\np4tvj+3p6YFKpaLVyyUszL70er3xAHjh6mV5efmyqz2UBSkvwkE6arVa1L7XkydPoq+vD/X19Thw\n4ADUarUoxyWEyAYVkoQQImfRaBTnz59PWL10OBxQKBQJxWV3dzcUCgWtXi4hGo3C7/cvmX3JF5a5\nubkYGxsDABgMBkllf5LF+Ac3VqsV9fX1UKvVog3Scblc2Lt3L2w2Gw4fPozt27fT55YQkgpUSBJC\nCEnEcRzm5uYSci+Hhobg8/mgUqkSJsfq9XrqtVoCv8V4ZmYGTqcToVAIBQUFyM/Pj2df8kWmlLIv\nSfoG6fj9fjzxxBN49dVXcf/992PXrl20s4AQkkpUSBJCCFkbhmFgtVoTsi/NZjMKCwvR1dWVUGDW\n1tbKujiKRCKw2WyLsiD57Evh6iWffSnsvcy27EsCBAIBmEwmMAwj6iAdhmFw9OhR/PCHP8RXv/pV\n3HHHHaIVr4QQWaNCkhBCyMZxHAe/349Tp04lbI+dmZlBU1MTuru74wVme3u75FffGIaB3W7H5OQk\n1Go1Ghsb1/T9CrMvvV4v/H5/QvYlX2RmWvYl+WRrs8Viwfz8PAwGA2pqakQ5LsdxePvttzEwMIDP\nfOYz6O/vh1KpFOXYhBACKiQJIYSkAsuyGBsbw4kTJ+Krl+fOnQMAtLe3J0STNDQ0ZP0WvFRkQfLZ\nl8LVSz77UrhymY7sS/L3+J2xsTHRB+mcO3cOfX19KCgowMMPP4yOjg5RjruSX/ziF3jggQdw5swZ\n/OUvf8FFF12U7lMihKQWFZKEEELEwcdqLIwmcblcqK6uTogm6erqyorVN47j4HK5YLfbRcuCFGZf\n8kVmNBoVJfuSJA7SaWhogEqlEm0b8vT0NA4ePIiPKfafCwAADwRJREFUP/4YBw8exGWXXZYxn5Ez\nZ84gNzcXX//61/Hoo49SIUmI9FEhSQghJL04jsPU1NSiaJJwOAy9Xp8wPVatVmdEcZRpWZB8kS5c\nveSzL/nhPpvJviSfmJubw/DwMMrLy6HX60V7z0OhEJ566im8/PLLuPvuu3HDDTdkbA/t5ZdfToUk\nIfKwpgsJjeMjhBCSMjk5Oaivr8eVV16JK6+8Mv7nsVgMw8PD8e2xP/vZz2C321FeXh4f7sOvYFZU\nVIhWHM3NzcFsNqO4uBi9vb0ZkQWZk5ODoqIiFBUVJfTJCbMv5+fnMTIysu7sS/LJIJ3h4WFwHIeu\nri6UlZWJclyWZfHLX/4Sjz76KHbv3o0///nPKC0tFeXYhBCSDLQiSQghKcIwDC666CK0tLTg1Vdf\nTffpZDyO4zA/P58QTTI4OAiv17somsRgMCS1OPL5fDCZTACyPwtyLdmX5eXlKC0tzYgV4HSJRCKw\nWq1pGaTzl7/8Bf39/ejo6MBDDz2EpqYmUY69kiuvvBIul2vRn+/fvx/XXXcdAFqRJERGaEWSEELS\n6YknnsCWLVvg8XjSfSpZIScnB1VVVbj00ktx6aWXxv+cZVnYbLb49thjx47BZDKhoKAAnZ2d8QKz\np6cnHsWxVsFgEBaLBcFgEAaDAVVVVan41kRVUFCAqqqqhO+Fz77kC8vJyUkEAgHk5OTILvuSZVk4\nHA6Mj49Do9Ggvb1dtO/Xbrejv78fXq8XTz75JD71qU+Jcty1+P3vf5/uUyCEZBlakSSEkBQYGRnB\nzTffjPvuuw/f//73aUUyyTiOQyAQWBRN4na70djYmBBN0tHRsag4Gh8fx69//WtccMEF0Ol0ss3G\nZBgGgUBgUfZlYWHhoumxmdq3t1Ycx2FiYgI2m030QTrz8/N49NFH8cc//hF79+7FNddck5U/b7Qi\nSYhs0LAdQghJl927d2PPnj3wer149NFHqZAUCcuycLlcCdEkZ8+eBcdxMBgMMBqNsFgs+Otf/4o7\n77wTt956a1be0Kea1LIvZ2dnYTKZoFAooNPpRBukE41G8fzzz+O5557DN7/5Tdx6661Z2a/6y1/+\nEnfeeSempqZQVVWFCy64AK+//nq6T4sQkjpUSBJCSDq8+uqr+M1vfoP//u//xltvvUWFZJpxHAe/\n34/9+/fjxRdfRE9PDxiGwdjY2JLRJKWlpVlRHImNXwXmC8zlsi8VCgUKCgrSfboAAL/fD5PJBI7j\nYDQaRR2k8/rrr+PAgQO4+uqrcc8996CyslKUYxNCSBJQIUkIIemwZ88e/PSnP0V+fj5CoRA8Hg92\n7dqFn/3sZ+k+NdlhWRZHjx7FY489huuvvx7f/va344N0+JgPYTTJ6dOnEQ6HodFoEqJJNBpN1m/t\nTBU++1K4PZbPvhQO9xEz+zISicBiscDr9cJgMKC6ulqU4wLAyZMncd9996GxsREHDhyAWq0W7diE\nEJIkVEgSQki60Ypken344Yc4evQo9uzZkxCdsZJYLAaTyZTQe2m321FSUhLvveRXMCsrK2n1cgkc\nxyEcDiesXi6VfalQKFBUVJS0f0OGYeB0OjE+Pg6tVouGhgbR3p/x8XHs3bsXNpsNjzzyCLZv304/\nG4SQbEWFJCGErMbpdOLSSy/Fhx9+iJqaGszOzmLbtm148803odFoNv36VEhKA8dx8Hg8GBwcTIgn\n8Xq9aGlpSVi9NBqNGbO1M9Pw2ZfC1Uth9qVwBXM9vYQcx8HlcsFms6GpqQltbW2irSD7/X488cQT\nePXVV3H//fdj165dso5VIYRIAhWShBCyFocPH4bJZMLTTz+Nr3/969BoNNizZ0+6T4tkAZZlYbfb\n49tjBwcHYTKZkJ+fj46OjoRokrq6OlqhWkY0Gk1YveSzL/nhPnyRWVJSsqhIm5mZgclkQmVlJbRa\nrWiDdBiGwdGjR/HDH/4Q//7v/45vfvObKCoqEuXYhBCSYlRIEkLIWkSjUVx44YW45ZZb8Mwzz+Dj\njz+mFSWyYRzHIRgM4vTp0wnbY6emplBfX58QTdLZ2ZnUrZ1SIsy+5FcwhdmXRUVFmJ2dRUFBAdrb\n20UbpMNxHN5++20MDAzg4osvRn9/P2pra0U5NiGEiIQKSUIIWavXX38dX/jCF/DGG2/gqquuSvfp\nEAnit18ujCZhGAYGgyHed9nb24vm5mbaHrmMUCiEc+fOwefzQaFQIBaLiZZ9ee7cOfT19aGgoACH\nDh1Ce3t7Ul+fEEIyxJoKyewLMyKEkBT47W9/i6amJgwNDVEhSVIiJycHTU1NaGpqwhe+8IX4n0ci\nEZw7dw4nTpzA8ePH8eyzz2J0dBSVlZUJw326u7tRVlYm29VLhmHgcDgwMTEBrVaL+vr6hH8LPvvS\n6/ViZGQkIftS2Hu5kezL6elpHDhwACdOnMDBgwdx2WWXyfZ9IIQQHq1IEkJk7+OPP8YNN9yA3/72\nt/jsZz+L48ePo6mpKd2nRWSM4zjMzMwk9F6eOnUKwWAQGo0mYXKsVquVdDQJx3EYHx+H3W5Hc3Mz\n2tra1rxau9nsy1AohKeeegovv/wy7r77btxwww2S/rcmhJD/j7a2EkLIajiOwyWXXIK9e/fiqquu\nwpEjR/DnP/+/9u4lJMr+DeP4JY7HkhTtOGaeEs8UIdUmITroKgQhqJVgRbQIgqgQJQRDJQgXhkVo\nLSSiVh2oDBfWwtcQi3SRhmOWkgrVhE7gOId3Ec4/sf+bj83Mk/r9bJRBfO7ZDHNx/373/Y9aW1vN\nLg2Yx+12a3BwcM7dy6GhIUVGRio7O3tOwIyLi1vyXbOfB+mkpqb67e6yy+WSw+GYMz22sbFRHz58\nUGZmpnJzczU9Pa3bt2/r8OHDOnPmjKKjo/3ybABYAgiSAPA7169fV3t7u+7cuSPpxxf1goICXbly\nRYWFhSZXB/ye1+vV5OTknNUkfX19stvtc1aT5OXlLZnVJFNTU3r37p1CQ0OVnp4elBDn8Xj0/v17\n3b9/X48fP9aXL18UFhbmm8Cbn5+vvLw85efny2q1LvmQDgD/gSAJAMBK5fF49PHjR9/x2Ddv3vjC\nWUZGhq9zmZubq/Xr1/8VwWh6elo2m01TU1PaunWrYmNjg/bs4eFhVVVVaXJyUvX19crPz5f0Y6pz\nf3+/L6j39vZqdHRUnZ2dioyMDFp9ABBEBEkAAPA/sys1frWaJCEhYd5qksjIyKAETLfbreHhYU1M\nTPxykE4g2e12Xb58Wc+fP1d1dbWKi4v/ilANACYiSAIAVpbk5GTFxMQoNDRUFotF3d3dZpe0JHi9\nXo2Pj8/pXr59+1YzMzNKS0ubs5okMTHRb6tJfh6kY7Va/fq/f2dmZkbNzc1qbm7WqVOnVF5eLouF\nYfYAIIIkAGClSU5OVnd3txISEswuZVmYPdb5c/dyZGREMTExvruXsz9Xr15tqJP3+fNnDQ4OKjY2\nVikpKUG7u+nxePT06VPV1NTo4MGDOn/+vNasWROUZwPAEkGQBACsLATJwPN6vfr69atvsE9vb6/6\n+vrkcDi0ZcsW39HYnJwcpaamzuvydXd3q6+vTzt27FB6erqioqKCVndvb68qKiq0ceNGXbp0SUlJ\nSUF5NgAsMQRJAMDKkpKS4lt7ceLECR0/ftzsklYMt9stm802Z/elzWZTRESEsrOzlZSUpK6uLo2N\njamurk579uwJWm2fPn1SdXW1hoeHVV9fr4KCAu5BAsD/R5AEAKwso6OjslqtmpiY8O0FDWZgwVyz\ndy8rKyvV1tamgoICjY+Py263a9OmTXOG+2RkZCgsLMyvAW9qakoNDQ169OiRKisrVVJSErQ7mACw\nhC3og5hb5QCAZcNqtUqS1q1bp5KSEr18+ZIgaRK3261bt26poaFBx44d09WrV333ID0ej0ZGRnzd\ny2fPnmlgYEAhISG/XE1iNPy53W61traqsbFRZWVl6urqUkRERCDeJgCsWHQkAQDLgsPhkMfjUUxM\njBwOh/bv36+qqioVFRWZXdqK9PDhQ7148UIXLlxY0D5Ir9crp9M5bzXJ2NiY4uPjfYN9cnNzlZWV\npaioqHndS6/Xq46ODl28eFG7d+9WVVWV4uPjA/UWAWC54mgrAGDlsNlsKikpkSS5XC4dOXJEFRUV\nJleFP+X1ejUxMTFvNYnT6fStJsnJyVF0dLSampoUHh6u2tpaZWRkmF06ACxVBEkAALA8uVwuDQwM\n+MLl3bt3dePGDRUWFpo+SOfs2bN68OCBwsPDlZaWppaWlgV1ZQHgL0GQBAAACLa2tjbt3btXFotF\n586dkyTV1dWZXBUALNiCgiSjywAAAPzowIEDvv2Zu3bt0sjIiMkVAYD/ESQBAAACpLm5WcXFxWaX\nAQB+x/oPAAAAg/bt26exsbF5r9fU1OjQoUO+3y0Wi44ePRrs8gAg4LgjCQAA4Gc3b97UtWvX1N7e\nrujoaLPLAQAjFnRHko4kAACAHz158kT19fXq6OggRAJYtuhIAgAA+FF6erqmp6cVHx8v6cfAnaam\nJpOrAoAFY/0HAAAAAMAQ1n8AAIDAs9vtKi0tVWZmprKystTZ2Wl2SQCAAOOOJAAA+COnT59WUVGR\n7t27J6fTqe/fv5tdEgAgwDjaCgAAFu3bt2/atm2bbDabQkIWdBoKAPB342grAAAIrKGhIa1du1Zl\nZWXavn27ysvL5XA4zC4LABBgBEkAALBoLpdLPT09OnnypF69eqVVq1aptrbW7LIAAAFGkAQAAIuW\nmJioxMRE7dy5U5JUWlqqnp4ek6sCAAQaQRIAACzahg0btHnzZvX390uS2tvblZ2dbXJVAIBAY9gO\nAAD4I69fv1Z5ebmcTqdSU1PV0tKiuLg4s8sCACzOgobtECQBAAAAALOY2goAAAAA8D+CJAAAAADA\nEIIkAAAAAMAQgiQAAAAAwBCCJAAAAADAEIIkAAAAAMAQgiQAAAAAwBCCJAAAAADAEIIkAAAAAMAQ\ngiQAAAAAwBCCJAAAAADAEIIkAAAAAMAQi8G/DwlIFQAAAACAJYOOJAAAAADAEIIkAAAAAMAQgiQA\nAAAAwBCCJAAAAADAEIIkAAAAAMAQgiQAAAAAwBCCJAAAAADAEIIkAAAAAMAQgiQAAAAAwBCCJAAA\nAADAkH8BTw500IIssUkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd6cc38aba8>"
]
},
"metadata": {
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,9))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"ax.plot(xt,yt,zt, label='Kalman Filter Estimate', c='green')\n",
"ax.plot(Xr, Yr, Zr, c='red', label='Real')\n",
"ax.scatter(Xm, Ym, Zm, c='blue', label='Noise')\n",
"ax.set_xlabel('X')\n",
"ax.set_ylabel('Y')\n",
"ax.set_zlabel('Z')\n",
"ax.legend()\n",
"plt.title('Ball Trajectory estimated with Kalman Filter')\n",
"\n",
"# Axis equal\n",
"max_range = np.array([Xm.max()-Xm.min(), Ym.max()-Ym.min(), Zm.max()-Zm.min()]).max() / 3.0\n",
"mean_x = Xm.mean()\n",
"mean_y = Ym.mean()\n",
"mean_z = Zm.mean()\n",
"ax.set_xlim(mean_x - max_range, mean_x + max_range)\n",
"ax.set_ylim(mean_y - max_range, mean_y + max_range)\n",
"ax.set_zlim(mean_z - max_range, mean_z + max_range)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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