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@vals
Created December 16, 2012 00:34
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{
"metadata": {
"name": "Fitting SciLife"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"with open(\"ellipse_points.txt\") as fh:\n",
" points = fh.readlines()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X = np.array([float(point.strip().split()[0][1:-1]) for point in points])\n",
"Y = np.array([float(point.strip().split()[1][:-1]) for point in points])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(4,4);\n",
"plt.scatter(X, Y);\n",
"plt.gca().axis([250, 450, 175, 375]);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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nls8+C23Xqb7OQfX4AiUjjghx7JjGHXfEs3evt8v27LHy3//dTGJiiBsmeiUZcZgomHVy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\nBkWuASDesAAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"P = np.vstack((X, Y))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = X.shape[0]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X = X.reshape((1, m)).T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 53
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Y = Y.reshape((1, m)).T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"B = np.hstack([X, Y, np.ones((m, 1)), np.power(X, 2), np.multiply(np.sqrt(2) * X, Y), np.power(Y, 2)])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 55
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Q, R = linalg.qr(B)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 57
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"R11 = R[0:3, 0:3]\n",
"R12 = R[0:3, 3:6]\n",
"R22 = R[3:6, 3:6]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 58
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"U, S, V = linalg.svd(R22)\n",
"V = V.T\n",
"w = V[:, 2]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 59
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"v = dot( linalg.solve( -R11, R12 ), w )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 61
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = zeros((2,2))\n",
"A.ravel()[0] = w.ravel()[0]\n",
"A.ravel()[1:3] = 1 / sqrt(2) * w.ravel()[1]\n",
"A.ravel()[3] = w.ravel()[2]\n",
"bv = v[0:2]\n",
"c = v[2]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 62
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"D, Q = linalg.eig(A)\n",
"Q = Q.T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 66
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t = -0.5 * linalg.solve(A, bv)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 68
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"c_h = dot( dot( t.T, A ), t ) + dot( bv.T, t ) + c"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 69
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = sqrt(-c_h / D[0])\n",
"b = sqrt(-c_h / D[1])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 70
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"alpha = np.arctan2(Q[0,1], Q[0,0])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 76
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a, b"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 77,
"text": [
"(57.654995631773687, 84.820231723756308)"
]
}
],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 78,
"text": [
"array([ 376.53270164, 268.75587935])"
]
}
],
"prompt_number": 78
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"alpha"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 79,
"text": [
"0.12485285087367017"
]
}
],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"theta = np.linspace(0, 2 * np.pi, 100)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 97
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"elliptic_pts = np.vstack((a * np.cos(theta), b * np.sin(theta)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rot = np.array([[np.cos(alpha), -np.sin(alpha)], [np.sin(alpha), np.cos(alpha)]])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 117
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pts = np.dot(rot, elliptic_pts) + t.reshape((1,2)).T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 118
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(X, Y);\n",
"plt.plot(*pts, c='r');\n",
"plt.gca().axis([250, 450, 175, 375]);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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Yn3oK2/TpWkdy3UThUJGafYAVK8zk55cfvpt/XsGhxPtU21dlRI+jesoefRTTpk0U/LCf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\nSUVORK5CYII=\n"
}
],
"prompt_number": 119
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 107,
"text": [
"array([ 376.53270164, 268.75587935])"
]
}
],
"prompt_number": 107
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t.reshape((1,2)).T"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 109,
"text": [
"array([[ 376.53270164],\n",
" [ 268.75587935]])"
]
}
],
"prompt_number": 109
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.image as mpimg"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 120
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"img=mpimg.imread('scilife_aerial.png')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 121
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(6,6)\n",
"plt.imshow(img);\n",
"plt.scatter(X, Y);\n",
"plt.plot(*pts, c='r');\n",
"plt.scatter(*t, c='g');\n",
"plt.scatter(*np.dot(rot, np.array([0, b/2])) + t, c='r', marker='o');\n",
"plt.scatter(*np.dot(rot, np.array([0, -b/2])) + t, c='r', marker='o');\n",
"plt.gca().axis([225, 500, 150, 425]);\n",
"plt.gca().invert_yaxis()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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6ctStAmXRSppV100NH374E5ncF27067rBh6ZLTUXJJfoYpnO6i/R7XE5rzdYz\n1tvYnUpRRvTP45UvXbnaPYyMD242m+73ADabDQ8fPsQYi/eOOnXS2WLcYewhUe5iR7OTaF8pgSsy\nJLAlUPnclJI0OASi94T0vcYYSIraegebyHg8FidRC0smajDWEGLApbZxhVAU88qF5aZp2b/wEs45\nrLVMp5NOqXLaqpRgsE3TigJ6hymspK0qt6JLQTgXsrTWlGWZYBkpgNebTSpiaYxSqORw8VLkU0jR\nV6so15Gwf9/6vis1Mz4yiyl1MXfQAymm9H4LcslGRCEU0jZ6jo6OmE0nXLnyMp/59Ke5dOkS1kpn\nq4xlkDqFMWUy+v1SSeZyxEyMKeJPqX9nENOzpMf7dYLFnPf4GPAh4BId0zspNBblCKUFltqZ7TAe\nj3l47wHf+973eOeddzg4OEAZw3gypqxG+CD3qGkalFIUhaUs0+gHazk9PcWOJ4QY0FEPGpWeLTZm\nI5ib5nwCQG0nq/q5cQz04T4qGfntcSjDNZT5GCNlWRKjUGo3mw1N0yZaZ0lZSoNZCHCyXA4K4nLc\nbY7+88e342n/HJLz6ckR2/WZvlCru87Zj6Kk+i5TVxRFgTGGts3jHKSoL93EAkl6F7oifx7JobVF\n69jJaWYLhSiBW87UBdZtqGuDQvRpd3ePyXTC6uSEttngosdoRVlUnByfPne/P8564UbfaI1rW6zW\nKWryKULfxuryg8n0NGu3cb3hZ3LhiBTZCOZZ4FObv1I5Aup0mRCgaVzHrBCMNOBcTYw1IXhcK92o\nIRq0tkkwIWOk3feSC3xFetDt4Bx7wyLMADHOwhxJWQBRahhR0kEXPO2gI1FplaAPg289bSsUyLIs\nGVcj2lZqApku5xN907lATMyIflZM2d034b4nzNMNUl9iZ+DLqkxOSYQ1z5sByRxa1xCCSxh97yB8\namDrawQCR5RlSVEUgn0CEBN0pXrDo/p6SMZ5Qwi4tsUZJbBAxtMjONeyXq+p6xU78xlXrlzhs5/9\nGT79qbeZz6e0tYwAyE5Ra4NVAnlk9g5KCbuGYTdwlMa3kCJN+shPKzEimUEUo0R5USXohHQ9RIzV\nWKVRRncMGa01p6envH/9fb7zne9w+/ZtFLC7u8N4XKGMJra5LyDLgiLGBG8l2IMYkfb9Yc/H8P51\nsHQiFeRMMWcAGSLxqYmOTk9ytL9tIOW4cn8kS+qptaS/RRdEf9tODl0bURgKW1EUFcZaAlDXLW3T\n4Fxi2KXVkrC1AAAgAElEQVT63jBwGtYfcgG518ee6Sfn1ju9/HN2iENm3LM2pC9Ch+67szOIMXbO\nVo4D0fVBiEkzd551KFrnmkBMYydENpxz1PUGYqAqC0ZlyWQyprKGk+Mj1qkmZYtCIKGfYL1woy/F\nHj3wml4KQ1qUeKiEMUJP2+zfzysLQfamUuwU3FCZiFNSM0DB/du3ePnqNbqiq46d4e6Kv1rJMCYD\nIRgUElHLELO+JTwLTwjCZMiC1Bed8wiJnrcOwucpjMEphXdp5lAkjVJI0EY6n6ZtOvqYJuPcWZAM\nVVkwm06pbMGTJ09omqYz1NZa7t66wctXX+uGVuUO4lygzEJtjEZXFaYQbNV7h/cy8KoscxOa6aIW\nKW71A76UEmYPMWK0whot2UiKkoY4stYKZbNjiP2z6GQj1WNCTEYpt1X2DTNt68hsrhCi4N2tONlx\nMeLq1Vd47fXXuHLlsjTF1C2ucR3jKH9PdiYdSyrGjlf/bKSolRIet849AQlTjzmVD935xDxEL31O\nY9DWYIsSpTXOB9rW8fjxY+7evct33nmHDx88IMbIYrFgOpt1Mp2b3KR/gPS6o281j8LTH8ze2TZ4\nCulJkeejtHDJUyks6Ut/b8WJQa4/yS2S64v01j6PVJDH0xeI8xK96scrGN2PJ3G5twMoyoqqHOHa\nQJ2YP2LQewr0sGEuG9RmecpoPn8uU3v2+p99PT/PnEnkICm/lu+7FGVltEIXrYc+08jZYEYM8u+o\nQfPi8PhRIfOImgalhe3kQ6RpAsE7vLd4V1AW0phnbIGxBa6RbFEo4j/+euFGPySczBrdGUYdVWq1\nD4niFxJW10cuAL3c9d6/x+RiJ5gqRVhKa+n4U5kbrLswRqEo7DA1TMdPXyaKnlKyQGfsh1AH0FEZ\nh8I2NIjDSMFE0FbGTngH3nlRr2SMtVbStT+McLRORabQwQnG6C7iWK3WHB4+oa5rRqMR8/k8jTMg\npaR9GpyNbY/FJtjJaIwW/Nh7R0hKUZal1ASsUCqzs8gZgrXirIL3eCeMDoGwoow9qDd432J1QbaC\nSiuCT9mK9+SyY37AGUKRTluRgdx9GROLQiG8fBcDrhWDtFgsWEwmvP2pt7l29Srz+YK2dSxXy9R7\nECTkVdLlK44MtOpx2RQ05pK7GPU058fYRF2FdL1twm8Tv9xYtFaC4WfHFTqJRGtFUZYYH1ktV3xw\n8xbvvPMOd27fpXUtk+mkm+PknMPnbm4lzYLJzOKDwzc9xTcXToeGN1MSQRqbfJdFR7RJ16gz7NNf\nq+hfD6kqHVMJM+baJbnuQSqSDllBcroSfnuf5U5qBbkHJ4TAZlPTti22aJhO50Ae0ZCdhXRDx63s\npWfreNMHXt25JjH6KOipvy/betrppemNNdDJef85uvPKn88yNDyWTARO9kP3U0AjDODs3DCW9Mk7\nnKuptcEaTXQeomSjRVHhfYsfBLo/znrhRt9ag0kRl2sT/UtFTGnJMzNilEq68K8FSoCcjm0frzfE\nUrGHlAFE6dCTKF5x+ZXXGQpIhl7ycKlsDL0PRBd6gbUSaYsh6ovD/fdDdk45KjFGd04hfQoY4L8o\n6YBMgtwJHSJwbSsjm0OMEHyCIZLQIQZltVrx9OlTnj465MGDBxhjuHDhApPxBIXipcuvoJSmqqoO\nY8znMFwZC80ZRow9Lc0Y22Vk21CaDE7L1xmCGMFhvaJtGjZrmWVTFUUXHREF22+bJk2z7J2pGtwn\nYpCpqdoOeNLCuinSc8mUPGMse3v7/OzP/jtevXaVc/t7lKWlrVP3K+I8u3ufaIUK4f/nayfDf/Qz\nk2IUTLewvRN3qfdAIt4URKTpk/n+ybNS5J4RwYE9dd3w+NFjvvvd73L9vfdwLjCZTBmPRhChdTLe\nIsTYRbvZrkq0mbHnNPRuNtzpLtdAhPVFkvjgMpadsuEU4Wd4S7Ig1V9zYEvPxJD2MzB6umoPkfSS\nLuQK51yCDiWDNaavychY6YhuHN5DURSMRuNUCHVsNhs2G3FsxgrdssfwlTB3Ysbw+0wg9x78oDWE\nkIfQTT9OWcxjhpb6GmCGrnp0QSvSdZnu+73vg7UhFCTPSuoxKYYZIBeCJrSxRcWIaxussYxHFbYs\niQ1dgPbjrhdu9GfTGcTIyfExR8cnrFcrbGHYP7+PnVQUhRhP39283AiTDKTqcdFh5B2CJkTxps75\n1D05ZO/kY/THyoUdY3rYQ/jQbZqgaSlsQUBJobBtt6b/CVdXdULZwzw9jJCLYHkFnwQV4Z0bazos\nXWbxy0x2pVWijqWIIhWXtVLUTcOTp0+4d/cedz+4zfL0lIsvvcS5c+eoqgqlFHXdYIyXmSGDjCOf\n2zBKycVpSftzs1JmrWS8O7EzklGMIRc3Q5o2KUPnvGvxriX6MkXyqTU/G1k8oZXPQMSa4UCrBOkN\nm9BSdhCjT78DyhbkUbZ5jHVVjphMpuzu7DGfLYCIUVKHkYjKdwazg+J4Htf13ndGUeTPbtUxMpwz\n5I/naak56g0pY7SFGIUQFd55To4PefjoMdevX+fGjRtsTk+Z76QOda3ZrNcCyWiV7nG+D6n6Eftu\nUp2oid25D/pRskGBzIQR2FPr/Lpg54RAQqlE3rQYs9AFRXTsONVBSqrD/WHY5JXeVbozohlCyysH\nWlrn6ZSRk5NTFosFk8mMqiol0wwhzaeXoruMcm63jPpw9HF/7P77ng1unq0ZZgeU9TnrybBYm8co\niOPqjxtjlEwsQdVFUXQ6lOHp4dC4iNA3R6NKGlKdT1N2Ew01yhyyIAeU4C8ILdbaihh+uDP7UeuF\nG32lFavTFY8fPeLBgwc8efqU8WRCURXYylIUpRRvfU8n7HAyusrNc1ifUkDoi6simPk9w/07H/Dy\n1deADB/kIW8BUQiFbD5CX1jUmeXicL6haTc9A0AXKUfu6wJ5ZYHusoUBh1dwUwfBp2g/Y8Q5OhTD\nmhuSijTDxEeZOz+ejClHI9rk/Q8PDwmbDZy/wGg0YTqd45zj5vvvcfmV17ooQfDwfmpgNvpdQVeB\nUaar+rmmpV5vqDd9U5AyuXlORkk3TU3bNhhjKKyhbQPBtUQvfP9ay9gFa3putEBLvbJpYzBKyRwT\nnbpYQ591GGTbCsH4e1xYlDh0GPPp8TH/8Hd/T2ULTvZ2sVYzSjP1pa6jsEUp+x7ECC5j271CZSVV\nqYCZjYA4mH5TH6Eu9rLXeiRyTRF6DBFt+v0GNnXDarXm/fev8+677/Lw4UM2qzXj+YLJbIa1Mu8I\nLftARNU7VOhrEbpDJ/vGtnp1QjmedNBmzgI6fQOMAjvgr+dREpLWKNl0KOZR0eQ5t6iYslHk+gEZ\nBZ2yVJmNk4OHXn5J2VTWRckMc1YrGX3WYdn0JBtYMaJVNe51ZQD55qi+WZ5Qpr28RReHM3gGuhR7\neAjYsiXDlb8rO6r89zCDyPW//Hli6Jwj5CBKAz0E2m0Ao0i9NgkaS0xhHTVdD3eMRB+wVSWZYgg0\nXoK2cjTmJ1kv3Og//PABh48fc/fePR4/esTJ8pTFzpyXLp9nvjunLKvuwchI1t5g6oHB77xozHM5\n+vfyhL2h01ADCCZnAEVRdBta5PQuTwjs0lDXEggdfQt67z4s9HSVenpMMH9OCjFidINvCSmagSGU\nJb+bU0KtNT5h5xFpdlmt1+zs7XL58mXeeOMN9vf2ODp4wpODA6o00zzfg+DD1nVNJpMueurxfbbY\nJKg8wkrOdb1es16vU3dtPxvF2nQ9rsF7R1HKpiV1sxZoKEYKY4XCSSQGj0+pa/SeNniatsU7jzE5\nOksNRNmBDgx/Pr+yLLvry1BZZkI8fvSYpweKoP5vZrMp0+mY8+f22d1dCEVwMmY2nVKYkta3WJ2b\nvMJW5Cf3Jym8ZqC8vsv2cpEvM5O6pi4Ey/bBY3MWECOb9YYnB4fcunGTG9ev07SO2WzGfC4jFDJ1\nuDP+aWWjIzIR8X472MkkgjAY2ZEhmGyMssHK9zkzeOQLUierlp+3KY+qM1J9hkBnmH0KwtTgOjNM\nms8lBxTiqHqefNZvay3VaEJdNxwdHbFaiZyOx2Pm8zmbzYb1ZrXFqhnCMj200teCht+bf37WiA/1\neFh/2yrUKqFu5uvKDKohrJX/nanRwzre0M6gIj5lcNDPEcqlmO68tcKFgIo54FQdE+8nWS/c6H/r\nW9/i6eEBy+Upy9MVkYDeE8XcwsE7A//83J1+KiVbKVqOzjJNavgAr772iXTY3jlAb2yffT2/loUm\n49iCP44oy3LAgNkW5p6FYBJtUbbq884TvTgvY20Spp7zr7Xt5nRrrWWsa1HIjlFRWDujasz58xc4\nt3+OncUu927d5f79+0wmU6bTaSfgL7/y6pagAwMh3t6OMW8hKVGJnPdkIrP2XXJ+OnWa+jR7xQeX\nGrI8rml59PABIQZGVYHVJsm3RLxtGq8s83EmNO0mPV4x7kGlWolS3STLDDdBUtwEDcg0xnzeQs1V\nSGbiQ+S9995Da0VZFuzuLDh3bp+dnQU7Owt2d3fZWewyHo2obElphT5aVSN8mtUjBiYZVnoHE4Lv\n4L3h/RMlj8QoTsl5iQILW1KVI+q65s7tO7x//X3u3r1Lva4pRyNGaTcxl6LZmFAXn+GyQRTpnKMs\nbbdZSX4tRMcosX2G0e2zRAdhoyTjjmR1KhW1Yx4F3d1r6J2GyIUU7nvOe47m8/G3I+JtOGeIhz97\nniIBrtPz1Ur2PPDesVjMmUwmMqlVkRg/cmw730Hr5+sJGfLb3o+CzlF8FF1z6ASGAUZ2BnkrxWF2\noJTq/OYQyskwdNbBbPh9TB3lab+IfMYZCsoyLVvH5hlCKevNCMdPsF640b916xbNZg2JMTAej9hd\n7LBYiOHPnHmttHCekzaotJFFbtrqbuggJc9RyEetoYAMDd+zxZ2hwnTFPhU63D83l+T0Ohv3bPid\nc93PmaceQmC9XrM8PkarQFUVVGWJ0tkgJgOSNg+JAKkN3CS6nkqbUMQI9aahrqXgc+Xq1a55ZDKZ\ndNc/LDABXTQyvHd9FJQpdT3VbDQadVhlCCF1e+abmZxjCHjnqDcbDh8/phpVjMcVVVWmHZECStkO\n0iqsEVzTN6mFHYTFMNjKL9ULOorgEDYYREXpqXWQQTQB51o2dd3ty3pycsrR8TGz6ZTpZMx0NmNn\nZ5fdxQ77u3ssZgvmsznjyTjVaIpUUO8nubZtk2QrNQLFgKZv8HHeEaJFWysbo2hDUUg25FrHwwcP\nuf7++3zwwU2WyxVVNWI0Gm818imdWDZdsb6HnnojSZc1dgFLY4hq2yBJxttHvH1krNJWpJFORbqb\nqnIFu/vdPKStqw/E3uhL/cJsfU/WwWd1SK5h+/XhEv3tr7VpGtbrFWVZUJYFxuhkF1QqevqPOI5O\nstsb2+HacjLPZLrwDFtOPW9gh+c3fFGxTe81hk4Xc8TfNDJyAgWmI7Elh6qTwdeRPGEl+VkCArnF\nvp7/Y68XbvSD94xGY0C61BY7C86fP88izarPWLhKVM4s8NmgZ2ZAbkjqcLiEN3dRWPd7Em3cvXWd\nq6++sXUuPe6X8f9hwSc96FQikyiZjjM9NJq5qNtBTZnH7AMbv2GzqXlyeMjTwwNGlWVvd0FpDVUp\nhSuXoBiJdBU+BjSmY1dkY6y1ZrlccufOHR49ekRTN2glxl4GeJVkPvGDe7e5cu31LQfXQ2Jh6xrl\n3kJEd4XjLspxjmezH3FmUtx2KTJzTlN4TfQ2zR1P3ccpYo8pcsmUUGLsjH6U4Shkid/CZ0NMGLfq\nDE8HY+UILN935xmPxjgv8JMxmqZxHNZPOTg4RGtFVY2ZTiZcvvQyezt77O7ssru7y2w+ZTIaUVRl\nN4BPCrpSfMYrdIwYlfZ2MzLcTRhGkrnlPgZtZOetx48f893vfo+bN25ydHxMYSzFWPj6hCCjJhTd\ns9i2ZdsBSoxpl6mUFYnxg81ySTEek63DMELPv6tVJjLE9HpmFSWATPWbh2dyWlQ5+kgOOMQ0Eyef\nZ46Oe32RY/Rykv/OziAHSTpx1bvs0Tm0hqKw6bOBk5PjrhCe4cm88fzq6AnFZJpYR8+Mkv4BzuXZ\nlR3V0BkM39uCZ+htw3bQISvXA7Tug6YeXsukjqTLSab6bKJ7U77P5+eopZISI/+Cy/mh64UbfWMt\nhTF41zIalezv7XLhwjlmsxkBaNtajBNirIft0dCPGugjfNWxaEJMTRLJEEAuwAwndebMYbvgJcqQ\nC2XbLB/iULAiITgylvhsx22Mkbpu02bi8vfp6SmPHj3iyeFj9ndmGBWZTSfYwmJ9S5swfu/DoDCc\nBjWljmSfGBYyr3wtKWcIzMYTynLUjVao60Y6jZVEriH0zSaicIPoTe5odw2yS1ZBVQjU1ratDERL\nnac5RS6SMrZNm35PCpA96ZJuL9mOa59e6zZAHypZKiQPZbtXsDTAKu1NoNOMngy5xK5bVShyRVVh\ngzBtsszIVpfrVMg+YVRWPPzwMePxWKL+/X32z+9z8dx5ds/tsruzw3w+o6gKdBqOFmLatFHJtZtC\nvsOGgsYpnJcZSGUl47YfHxzyve/9M9/+9nd4+OAh2mh2d3cZjca0aatIlEKZNGlQQdTJMKZr7Zkg\nvivCS4e6l4mwCRqIISP5fV0phHTfkDlMWebTFmv0U1sNeS8LQaak0hgJ5GquFH1zQpCh1awj2xYp\nR7/9c4zdZ/uGrUx3lMY+2TiIZOQlqDtdnqC1jDOfzWZbzYX1UmCSLEfWgDbPj5/4UetZWKeTx2fg\nO6VUpyN9X892liM/9/Zp2M9jjJUgyKcAJpW/rdGJ1UbK2KTXJZLhtxTtP5O5fNz1wo3+dDxmvVyx\nWi2lq3Q2FYMfApumYblcJ4NuMDqnsilyDqHj3ucIu2v1Rxo6vPeyUQeQ8UiIXLpyjTxSNQu9TNns\nm7NyU0u/G5aChLINH2Z2NDFKh+hqteoEYb1ec3x8ysnxCavVqttb9+TkhPXylOhqFvMJL124QGEs\nzlrqTdthuXoQUfQjhFP6qISJ0raOPPZ4vV4PnE3dzWp56co18obS+XjbDSf9Pc2CK+mz645xenrK\n6ekJdV1Ll+2gszemqF3qHJaysFIsjAHfNqmgi0TnGkgGranrZLD6eSmy56rq6jg6z95Rcft84/MK\nOoy+RtM53rsUMJiOMTHEZ7WW/QqOj044PV1xePCEu/fuM51N2Nvb49y5fc6dO8fe3g47uztcvnxZ\nnKUtKW0fKAhWLrtotU4ow7nQfHBwwLvvvsf3v/99Dg4OKKxlNBqlERmOtmlpXYsyBotkBqg+muyu\nP6T7ggwibJoWpdoUIMgWhcV40hsorcWcqCzH+X7KILyIZFiRPgsmSXmMKauKvQHLEGzHDKILVH8A\n5hCzydqCFoewYT5XYVTlzXjSLm1Kd3WBIQ6fCQhSf6nYv3iJ1WrNailBRLSOQhUJtvpo5s6zMv9R\nawj/Al2hPt+LYd1OdgALXeabZTlPF80yp7VmNB4RYkyjV1TaByJ56tTUl+E8bUyaQOr7+cIfATl9\nnPXCjT7JOIUQUpVeYJ26adJgppoYobB68NCS0IXew/ZjD+KWY5B56JAjxG4zbRdT8SfxpZR8BpWz\nghRVdjtcqR7eCZnmJsXUsiwoipKmaTg+PuHg4IDlctkxgdarOs2Cqbso23thK7RNw2a1xvsWY4Sr\nrw14L52hOVYOWTlDr6DGWhlkFsEiuzv5upWdflLks16vu7pC3tKxv/VCVe2js7S9XEonY/B4H9HG\nUtc1R0dHnJ6cyvG08LWlIJXogk2dnlcaSeEhKIVLBrGnNeYoyNMkJc+jG2JuDMqCnY1fxyNK7U0D\nuc8KnVlbQ+xaDiEjgvMm7loZqnLU7aVmlGZ3d49m01A3NZu6pW6POF2uePT4gMnkDuPJiMVizuuv\nv85kMmYxnzNfzBhPRhSptoKS4ntVFWgzJQKHh0+5eeMDrl+/wcOHj/AuMJ7KTPzogwydG0SCvePr\n4RCdeiUy9isTZtUgj1LIlpziEPrnmaxxmuGUs1e5LTKRMubtRFVmAcXEsOrvZZaNLiNUvaMQPx6I\n9NHv4MkkAynD93rnkkeD91CP8PEVzktNSwq+ofu5KGwHa+TAaTwSZo/RlvFogsLSNHXKejNNertQ\nPFzPGvWPeu/Z2t8Q4smQTD9GpN/XocvOB7u5ZSdliwJJVh0hMcG8jxCl1mKtljqRNthCAoC2ke1D\nldY8e5c/7nrhRn9T18QYmc9nXLhwgb29XYrCdjBCxvRRw2ghGwQYeluJtnJ7cxonYDQE8ahSKJGH\nd//ODS5fe1XUROWqfUpbcyyTjA190AnkDICO0pknCK5WKx4/fsTdu/c4OjrqIknQhMGI1W53IQME\naUwSXJu+ezexeHzwqYqgu123+kKxQUW6yZdGG3ToKX15r9IYI/du3+Da628+A2HBtsEf7PiVUndr\nDWUh83vatqVJMIK2BrSSOe+pAaxtGtnByju80xgMIY0GCImR1OM9dDsryfA1ea7iSPuTHJ6uTLJM\nr2gE9qBX2r7YKE55dXrCZDZnu1itumhfJwxdRcVoVGK0jGp2Xhg7xMjpcs3J6SlKCcZ8/+59ZosZ\n586f48L58+zu7zKbThmNRozHo1S8nmLsjEePHnHz5ge8//51Hnz4gM267jZqb5o2TcksMYVFaU3d\nNrJvbghi5NNo5CSUgBo0RyVdUP2IkBihWa2wHY87YepDSCJCDJkO28/WT2Iuxr/73YzJD2pdcsMF\npokZHhqG+lEeDkNjKsFUDtK0jiijU2d7fi6hC7zyoLJMGxWDabtzcU7GEccgzWuhWbNz7iXKckTb\nuhRgrVP953mD/2wR9tn3h/z84RoSHvpeibQLl9Yoqzpqd77/Q6PfzbgKMQUIJmH4qgsi805o1mQ6\ntBh9773IhVL9ng4/5nrhRr9NO05devkCL19+mfliQcbnIG08QO9tn03RhjSr/Ecicp12UNL4KPTK\nIXbZd1nGTl5DBkP7o3cGf5jGZzipmxAZI8vliocPH/Lhhx9ycPCY5XLVefeyGHXQU48Fyo5SBIFm\nhMLpyIUopVRH0YqkTr2Eycr+szYZS7rIPsZ+8l+IMt646LpV00hj3UcofQE3q/mA6aCgsAWT8ZTF\nYiEzfKwVRSJBB0bGOlSjkUy89E6499ETg+2LrSTnmaigIUFnMbF9IBn6INHgs8yp4TnmNEHlSDfm\nwm82Wtl50BnKDJOEmLpj0yPX6cFGwPkge9XaQmbiWAMhsq43NPUG51vWmw1Hh4cU4xEPHj5kZ3eH\nnZ0Fi/mcxe6Cc/v77O3tsbML1gbu3r3Lu+++y+3bt1ktV5QZekzF6PF4zP7+PuPpBK0Vj58c8uTp\nU9qmBiKFSVtt+sHgwe5e5LpIBlv6ZziMuGMcvKN0B/moGHNZJH1u6Gj14HgJv8mQBr3hz9+X73nG\n6xMovZWVbxtMkMJviv6THsoog+Ezo9NR2YtX9E8r2U5VyBtrTJBaUlWNKEs5NcmoW4bbjA7XVhH2\nI+CSj4KBhkX07AjDwBDbxKXvmwX7URAd2yvBsWhDRKbl6iJTQb300wQHEWyhsCrDkTbBlM8PtPu4\n64UbfW0M+/v7XL16hYsvXaSsSmrXpkYkudgQkvF75iFlXDcb/rxtXKa4CashY4Guw8mUVly59tqW\nYHVpNf3x8s3NP3cTMxO0knH85XLJ/fsfcuPGDQ4eH9C2jXR/pgKoUTbNHem7D51rEVckqW3T1NR1\njSmLZJjz6GfVbTbdBtkMPCura8VJGFNAVLg2bTwTpNCqtaGqRqAiV669gXSO5ixBagOdQ1UKFXrc\nM9/7qhoxnc5ZLBbd9QpPWwRwPBpTWJtYO7KrlRlMnyQZeJmrYzvoLXcZhiCRndHSbj4spg2x6a6h\nJslNMjO9HIQ0LqDrUjWMZ4sOQlB6sBVeyhj6PQUU67rBO+mZKE2JLSsZf1xYyqpMsKBnmXYWO1mu\nOF0tuf/gQ8qiYDydcn5/j739PXZ2zlPYGffu3ePGjRscPX1KWRTsLnYE5w+Rqqq4cPECFy9dYrGz\nIEZPuKk4WS7x6xUx5oYvle1j/l+6DtVFyEOIs5zOO3mWe0N3xwQrNrL9Y+hCnvS5Yf+LIgbJLPsY\nSYxyBxzF/pRyxtHpTcwPvz/n4dCyTKSQ2li/1aKxOm3OkvWuP4E87dMYGURmrdQ0vPfYasJ6XSN1\nP9lwpChK2tanrC0dg4/muA+htaH+ZxhyGIDkonX+fO7VKIqKwvZ7G8hmT9vPJjuatm0JsQUjQ9Sk\nDpnonF7GqMeYC7hyEtrIlqJy7H/js3cm0yl753bZ3dtjPJnIrvG1MHZsWXaKKvLSt29rrfEuFWoT\n3GEGHPNchGzbzOxJ0yiVASMpfXp0neeWTTMGhjClqjn1ygIg+9oKO6ZtWo4On3Lv9j3u3b6Hc47p\nbMpsOkv77LZpjGpA60Ths1Z2mDKK1nmcF1ikbmsqK8JmtEwEVamoZ20h45ddICqfxjDUUkgtxQSG\nxlM3OcogsUckumyaDd5neqVO3PUBZKZ6tlG+v61rWNcrfGIn+eA7poktSgpdMB1PgEjb1LSN7DtQ\n2DJ1SwfZQzV6Nk3DJO3fmxkoaU4oeY/cSC5UbkdXhEBMCqOIQ0vVyVHIfL2oUCTMWPdD2Ug4uA+5\npuIT/CYTEqtyhNNpX98EIYQ0E0YbuWfWaibTKXW97mo0TdOwWm148vSYw8ND2VxelTS1nM7J0REx\nRHZ2drjw0kX29vYoi4LZfM5sNpPMYG+XxjU8fHqIvi/TQvH9ZQoziL4YTo6ck0HKJb7OKQ6DFPlZ\n+iASFTP0O8ql/TrpA59hFDlg5CQrnwfG5Ug25mY6yTG6SPTZ6HmYhYMQP4OP3bhsa5RsCtS6QVe4\n6aJjH3xioFkJBL2wzPIIj9VqRZs2ZtFaMlwfWqJvOxpsvtwugUhru57SowE5EMx9Ijbtbqc6AoV0\nZG+YHlgAACAASURBVKt0bwsrmH1VVdR129XTht+Rz7dpWxmzYYSgolLRmky/zXXJrlGz7/r/CdGd\nF2/0P/O5T3Hp4kV2dnYICtabmqb1XcqY00bdYfeiyBIhGkojY35lymEu4OZiq+wlWqRt9UARE+57\n//ZtLl97NVHERKiqouqVQfU0TWIafkRM0e+Y2XzGarni7v27vPfue9y6eYvV4ROitZS2xBUOowxV\nUVJvNlijKArZFcy5NVYbvK+JtDi/YVOfYgvFuCqBFDUnAzsej/FtC0GMnncNIRjKUobPOV+nSZiJ\nBx/F6GmFNEwFz71b13n56qupSDec8a+7cRYxpebee2rXoAvDyESCDZysT/jw4UOOj0/xbaC0mspW\n+E2LWze0mw2hrdFR9hooyoRFJgzTlgVNuyGP/xXH1dL6GucF3rHJaTvnu3PLK/dkxBiJPuVyqp/2\n6b0Yv476F2F9ckI1nnaGRqPQpiQXIiWIkqzDtS0qKqySFD362CtfCiRan/cQKJlNCsaV6wKCzWZN\nvdlw8vQUpS3aVJRlwf6Fc0ynU3Z3d9nb22M+n1OmYp4aWZZuw+rxA6KCxd4uV69dw8XAo0ePODo5\nZmexQxukOK61oUhTZoOKRC3dnTISQ2OQvVWr8SypjzjAvGdz09T4GLHGbhntDK8Mu3JBeg80shuc\n1nQUaO9blAaL7jb0GG4e1DONYtdUqHRMO5uZbpQIOqZCpTyHpm3TCJJUlI4KYeBqbIJ5xWjKOO3M\nhlkdPSVWE9q2wZqCyVS6x4vxnKot2WzWbDYbWu8xUajI2si49UzK6NCCziOEDmqV+pXM15KAJTsH\nTWGFoeV8YLVa07aO6TRgbcVoNGG9XrPZCKXapD0yjNYyRVUpvGtZLwNFVTIqC0pjqNsW1zQSmBFQ\n1iKbeohcsuWYP/564Ub/yitX2NvZRSlkQwyEY91t7p0jQ/ooZ9jsEDO2FiWylwcl3Yb/D3dvHm1p\ndp71/fb+xjPdc8e6t4Zb1dXdarUsSy3ZeBC2GTwBcli2YlgGYmKMgyEsHDBZiRPigBMWmCHYXlrL\nLAgkmDAHsQQeMDGDsbAdsLBltdStVk/VXVV3qjuf8Zv23vnj3fs751YrLJD+6JBP66qqz7117jnf\n2fvd7/u8z/s8AlksytiQ0Yby0nh4yCPlmKVgExZv+HADlBbYPtOJYPgPH+xxdHjEbDZHp7lkZU5R\nzktMY+h0MpEh8CPv0sipscriXA34TL+a0zQVQR1R8i/lufnCDJBky2ORLljhWc9Kuaq4KHRvh3XN\nEp5q29LQCQbSYtrhsWVoS0UaYkVtaorLC87Pz6nrhihKSOKUCE1TVYLLG0ukNJ08I+9k6EgLxm8t\nSkckXmQu8JCtP0iNDdCPwvrSXbL0ZThnYVQh9DgDKkLHAaLxUEArqOc/Q38X3VJvRIq3RaALGW4S\nZQSxMOecSGS4sPk9f97KAFgcybCXVlELKZrG0EQiT7EyXGX7xi22tjbpewE1rUWDP/L6TI0xzKoC\nqsInMDEWJ/BeEmOdpS4KRkrhTINS4uOb+h6SQvwLpALxbko2ZKiBAmiJlExxK61xUSRzDMprODkf\n5FtY7/EGbNhfsMBrXID3fZXh91AgXDgWjxEguNBjEbKAsos1p5bovs46fyhELbkivJTwZ3tQA7ol\nMbYr2B9MNXWjhVkWJ3QHMXm3S+3pk03dYBtD8KFwJriR+X3n96pIgsgDSglH/qp5CtJz8a9PemwN\nRVERx4tehsJDi20TReBMtALT0DQVYNFZRpImJGlEFWnmhaez+uQjeEH/v6kM/Pteb3vQX1tfp5Nl\nTKdTOemdd5JfZnC0C+AqTrkMTzjfrA0LVIK3x+QIOG9YiHDt1m0aY7xzkGDYTd0sVBQdV4SrQgFg\njKWczjg7O+fhwwccHhxiLOzcuMnGxgYKmM/mXF6eM51MqOvSyyEojK1pTI3yAy6Rb14aY5jNC6bT\nGb3eitfe8O/BeXOVkJEHplJ7exbIbKiotfZBaimo7tzclUC7pMWtPI6u20Dv74/WREjDGBRVXTO6\nmDEaTzDWtWYqYtmoMY30JJqm9ripozG16Mh4GE3QFxn80VFMHiuyrIfpG+qylEZwI3r3OhLDeucD\nVxgyUjoKe+bK1zJEtdzEzLqDK2tGaK9Gpkl9JhcgjCum5777GfoPCukZKKX8PKpAXcZ4J6tIxOl0\nFJOmGddv3OS597+fp556kn5/wHw+ZzKbUlYV1ljmZSHQkO+DKB0muBe05clgzEz5CV0V1l5D4QNO\nrKMWctLeOhNj6fQH7dS0NbZ17hJJiJiohWsC00l6XHIf/KTuEtMGFaxHlSQk7eHgvPyC3KFlgoXI\nhyg0rj28pfoOzyk/2/o5+/6NaQxEiggFkW7h1BBog5po+3zO4Kwi7Q38z8p7NaZhPreoSJFkIq6X\n9hKaqmY8Hvu15lkysQxKBchREoho8fl7OXPtRBmz1cdZOggXJBN5DXXd+BkKWY9xkpAsVz8+4VFO\n9mrwlwapeNM0ReUpxjbtwNmy9HPQ+f98r7c96Pd6XZyXUhURJU1wlwkQhNxUfcVFyhh3hT0jTcpl\nmdSFFK4MgS4fEItBDwWeDaCXAsSS7LFbCKg56yirhovRmDfffMDe/j6mrtna3OLZZ9/Fs88+S1NX\n7D18yIsvvsBrowuK0ZwkTVBR4qEOi45l0UZxjFIivTCZzLi8nLC6btsyG3nZWLswqpb9pBbYpN/E\ngSMcNmjLVvHwVasc6BY6/63Ll140NAOeH4KoDGEZRqMx0+mshdWErprQ6/doTMO8mFOUc+qmksNW\nyeEhGGuEaWQmwCURcSxa951uhziOqMqC6XTEdDKmLguBmJqGuimxjc9yoxjlOct+wMLnnNZDPWqR\nfS7pmLfsLn82hkACC/s+EM0cFeiHHuZWPkMN9yxUBWJ07jcuCpT2/y1yzWvrGzzxxF2efPJpOnmH\n0XjE5WgkQd9aCs8lL8tCzLSVHLDWGvK8SxJn9HsDLscj8SSoK0xTX/FwUD7omDAUBCR+sMcph1ah\n4a8wzle8zgf5duEolA4VUtRi6BFLpvNB8qutDP3h60ybUInXgw/kUYQLlSIs1tOVA9W1JjYKL+Dg\nFj2FlhGjVDvTImtW9sSCfbYsWb5osBpjBA7V4Jwl9ZBrpGPSOKGOE5wRCMAYbxmpFlWj8zY9ctwH\nlhhtwuS8F/CVnhht4Yxzgba5sCuNtDB0hHHkbS6NTB2HafeiKNoYtCx3vizqt6wL9Pleb3vQtxaK\nuejRNLVI6zrtt7MPMDIJJyWhBKSoDVywYHyEA8BYsd/TGuI4bTPW8LPWWg4evMm1G7f8wjVYZdvM\nI3BtQxMmy7JWd72sSs4uzhnPJiRpwsbmBk899TTved97ec8Xv4emqdnc2mJeFjx6dMjx/h6z+VSG\nddzVQB4nMS5SFHPDeDLj7PyCG7dEL8YYhSM0WxfSwfIEciaI1jothNPUDa7hypRs+J1H+w+4defJ\ntygOwlVYJ2wgp1Vrx+hw7aHcNDWRkj5KluUMh0NGl2eA8/o08m9qr/0dxzFRnFBZi7UR1iRYm9KY\nmLrW2MZhbESa9khWc6w1lNVcTKJnitIhjWQHxqumWq38DF0LErSHFEBgaVTzKd3BUN4TVnxCHL4B\nKgFBpDMCi0QCx+N7ankqtGrnR+RgCXLD0rCvyXODQhPpmPF4zHg8oSxLHI5ut0cURwxR5J2MqhKh\nvMCWcliKecHurV3G0wlFUYEzlPM5VVVQlPN2qvvk0Sn7+/tMJhOUkuwwUhHlbErW6ZOoiCgKcyFx\nuy+UkYNcu2X2EmgVkySBkYYnQfieRavEKYFf5FCWjMn9oRuYcy6U0yzgOO0PhsWiky/lBMaMdYTY\nNwSWS/ghT2xY2sNu6YAA0dPPB6v+kPDB0R+MdVkxNiPKeUHqfYm73R5JkrQqqiA4f5omfm8GQboF\n3deBlzX2h0BYeUv7KLy28Pjie/4xvTjI6qYG5dBR1sa48HqapmmtMheGQnpp6Os/8qBfVRWT2YzG\nWs+r95CBb9ZKc9IvJKe92qNsmPPzc0ajEUoper0Ow+EKURRRVoVsGCzdbkycSBPXmCUuv28EuWU6\nqL+x4cYbY1oFzTTxknhRzHWdsLG9Q56JB+1wOKTb7zMrCjp5zs6NG7zzXc9y9OiQ84sziqIgjiOy\nNBLzCudwxhClCSqOKYqKWVFwdjGirA29Xip9GydwSRTFHipxbQUEoCJhtTR1TVnMqeqaPO2+ZVFI\nhbAYOAlB/nNdy4E/zzN63QE6SqmKUiwNragHstRIK6sS6xxZnhE1iroupUFuDGVV4UrDfNaQpquk\naY6OO6BS5oWhnE89C0nT63Xo9XoMVoZUVcFsOmE2n1DXhURp7fxnI4qeUSun61qIQoKEn9FIYoEJ\nfJMyRgaOjFWeDABhQ4papWsbhSHblA25bHWnWkqeUsavK3ku2Zwx0+mMl176LM9/6nlqY+n3+2xs\nbLCyskLQs19ZWQGkikjShMyL1qVJTr+/wraTXkgcaYypfFUWWEeWT37yeUkUTs/BiVOY8YeaxFPJ\nyrUW2EkpTeSx86apfCMzrIEgEpi0lOLgIS33ybQ9EIEmNTiNc0KtDoexcqoVF6S9tfKChKXSpsL+\nMLAoJ43dWCsilRAlqZ/jWFq7bXK3qAQW2lGhT2fbKk4KwUiSPQdVWVMWFZ08E4nwLCdLM8pI9Pln\n8zk6EfNxQKbEm4Y4Eac8pZT3iV5+X0tvsz2EFq9hoaxZU8yN9HOCPIxdyLgvD2ymadrGH+dcKy8f\ngv9C2vmt8vL/IdfbHvSLomI+L7HW+cZU1JbTgcMtcIyc3gCj0YRHjx5xcHDAdDql3+9z48aOMCPS\nCO0pVcZ4SpUWF5tlY4zrt++02WErBOZhn7aEVgsN/E6nQ5ymrEQJ27s5aDEKiaO4DXCnF2esrgzp\n5Dm7t3d59ovexf7+Q44O96nrijTJBRd0poVjpJ8QY51mPCmYzQrWVoXTL5CWRSV64Ue0dG8EtnLt\n77eNIeroNqAvZxs7t263i3M5+Idr+RAIf+/3+wxX15jM5sxnM4yx4sOadel0OyRZSlkWYm4xnzGb\nT2iaijxP2d7ZptvtYYzl4nJKMTesDtfQUQ5omsazI6KUKHGgoTaWsjZ04wwdp2SdLkSapsmR5qRo\nAOEbyI01LYQQgpRCgQZNRHdllWC3J5vHZ6TurQdecHOSoCzaNMuNzaDiGjZlOBjC95vGEPnJ6IuL\nS55//lOcnZ0SpSm7u7s0TcNsNpf5DGPp9boeV1fkeUa32xMJarWQck7ihDRL6fVyVBxhrSPPY1ZX\nVxmNJrz00mc5OjyinBcY48iyiLy/ivMHQ9MYlDIi7xEHLFyTJFkLHYRsOfQFFlLMmihK2vtqrIE2\n45fDU1vXDj4usnz3+I31ARpAt/2y0DMQQdXlnoKngS5BPMvkgreYyqDIeitXoFnZtyJdYa0VaMs6\nmtp4rD0kLCLHMS9K3FIVYRoZoHItnCX7ULd7JCQYvPX9+qAuRkl4eLXGsZjE15ESEUMvJhdw+oDV\nh0oyyJ8/nvH//yDTr+UGO4uL8WXiMmf8rY3byWTC/fv32X/4UDCu7W2M2aIV7cK1i7NtEKkFzvv4\npTxOvAwZKKWWeLHS5e90OqSdHnHeo4F2uKixjqpuKMsRxlrWV1fpDgbcufsEN2/f5Oz02CsHerze\nCYsFPzyGjonijKKsGY2nbNVNO5DlvH1cmKQFCVB1bT3fWrL4NEl883d5My+yieXhmHBfrrx/rh4S\n8v6lyinmBaPRSKAdHZFlmVRcaUpRFtSmoaxr5vMZYNjeucZ73/scGxsblGXF8fE543HJ9etPMRrP\nOTu/YDqdYkyDThRpnAKCQZd1I8NlXnfFolBRgiIm1hlRkpOkFeV8RlXM5Z46T4zwE9XC/ZaNbXyG\nHOAE5xuQcn8Wn3XjRb6kSgjNSsl0Zey/8badQWhPpqK1h32yLKfT6dDp9qgbw2hyzvn5JWvr62gt\nqpVzbzdpnaUsqxafDUbgeZ4BiBCXsyRRTJplrK2voJRQWTudDlnWIUlS8rxLnncXsEOgTyIsGbPE\n43ctuUGLi1m8xNRx4AmtbSZ6FfLTqKUZikCV1Vr2FHoByywgH1ryQ5vVt3ccPwjoFbSN7FkLQuW1\nnuXTwjwLeG35tS0WsHyWoQEfvkIiF3kShHNQldJMj3yCqXVMnsusibXe69bHg8Y6bC1T7ApFGons\nyecKucuJ1AKaevxP+Zy0VqKomyw8m/ExS3vasjEByxdmkW6b7cHk6PO/3vagbxqLaE/4zRiaQbD0\nIUu5mXcETqn8AFLjByPSNCXPc19OycaUzMV3860h6IGExbJ//w12bt1uEbrwoWlPiwonb8DS2sw/\nFqil8MqTLjAbnKMsChpr0JFmbXXIxuYGO9d3ePmljGI+wToDSkrtJJExbNMIxzrNcoy1jCcTyrKi\n1+3JQJbX1g96JFGkQ4RrKVxxFBFHHbJUmonLWVK49h+8wc7N2+3BsXy4Lf+5+LuIPI1HU05PJYAV\nRYlyElgizziZzqYysGWa1inr+s0bPPfce9jZuU5VNozHc6I4Z3Vth8OjY9588wEHB6JPNC/FfrEx\nDThpqAo059qABXgNoIQ87aC6kKUZszgSqp/XJTGNwTQSMDGaZnRB0u1JE84Ht8BqWS6xtfaNWOv1\n8NtkMtAJZboyaJ+gFHmnS7/fbx3T0jRlMFghSRLmRUFjLxisDLl+/QbXtrbp5KL/Doo0yWhZHMZS\nmkqyUH8QlJU4RgnEljIeXyIsGkvP6/ycn50zm86x1pEkGWmayXNNJ6TdATqKiREGTBxHtD7Pyjdt\nQwbbQqf+c3cO/ECSxS4YcEtfYbJXMnOL8/BayLyVWyQQYR87Y9vsPrDFrkypNkYqN6fD+ezX6tUg\n//i6dVjK6Zi022c5HFtR+0P7wx98Q74xVMaim0jokUlCvz+gaWrKusQYRxQnYmhkZM5HWUXiIbJw\ns5Zf0zJBZPn3h8o6mNYb07S9JDxTR8zfg/Vm1a7J0GsxXgdKgv9CpO4Lud72oC9lZOzpkf4RP30m\nN0LK8zTJ6Pf73Llzh42NLabTqRgozGZsbGywurraeopaZwnGxOHDCFr3bTbiAutBtWVbHEe4JU/a\nhVyyTNVmZYVOSkpXUVnrS3rPQY8087kwM+ZlQd/0iNOU4doaaZ5TzCaSgfrALcJbMryEk99VVTXz\neUlV1fS6i8VqTI214ZOOWjgnHESxH/92TjGdzTz+etUtK2CNYWHKhKOm7bmFRrEPalpHzGYF5WjK\no6Njzs7OKecVUZR4UTDJToxpmBczqqokimNW1la5cWOHzc1NhitDQHPrVpebt+4QJznnFyOeevoO\ne3sPefhwj729hxw9OmY8GXtrPAk2jf8d4VBNnEOnCVmWkiSx3MNYYZqq1S2qKqHKNXXtJ3htO3yk\nPZ5v7SKDCtVTOEyD722Qw1Uq8s5oGVkmapp53kEpxdraOuvrG3S7ImWc5zm9Xh9QnJ6doXyQvX37\nNmtraxLMy5KgCd80DZmXXg7QUcC6Wxqx/8RHlyPBvb1vwfHxMW++eZ/DgwOmk6moTeZdJpOJP/AF\nkkxTgbSC+bjCDzY2jb8jQZrCtaQlyZa1kBus19JvsWp8guP/nY5wrrmyrmQJLYmVKQncy1BZCOih\nT2IaA66Rg0Hblhcffv7xaznIOrcYNgzfC1WcJkif+ITPTyg7v95DUtnvdKjrWKpCv28aazBz17pc\n6Xhpr/hruZpeTpq01ld8pAU2s9S1afehNHF160gX5MvbodN04WERvK2XHfm+kOttD/qiyZ6K7oYx\nTKdTDy3EXodaXIeclQ/j7t27DIer9Ho96rrmzTffZHt7m7W1NbRWwpTwG1ow4IY4yTxeptqbu7Fz\nQxaeb/aYZuGZufwVxq3nRYFTl1QOusNVrNeAV0oTeXnh4dqqBGNnGU8naCDrdOn1B1wc7FNYQ55l\n5FnCfDYlSTIUirppaEzdShQH423JcszCHs6JfLHzmh6hEnEuSE+IfnecpsSJRvvxfQzs7N5u5Zmt\nh3qyLF4wHawi1YpYJ8SpBDdjFfPLCafHpzw6OsFa6HQ7Yu+XxKgIZkVBWRXUpqLbybh2bYv19XWO\n9g/Yu79HlnXY3X2CnZ3r5HnMjRurbG8PuHv3GgdHNzk4uM2joxMODg44ODjk+OSU0XjE+dkUC8Qe\nYrLOMS8aUBWqKEi0I01kCCxNaVknIoswo5hX2CSWz805sjShk+dY2zCbixdzJ8+JnHgeNG11uAgo\nUaQYDodcu7bN2to6vV6Pfm9AFEX0egMGgwGdTkdomEUBKNI0Y2U4pD8YtHr6QTo82BuG5zdWGGOJ\nT1akXwFZmjLwQ10WYXo4Z0lS+bzv3bvHJ371kzza2xP2j45IioLGOtLekNjDkoGJpLSGYGcosP4V\nsbUwJBfgVB1ptIpxJgzRKdAR7fAaIROPyKIc43wS4IQpFN6jNYbGNaAdSSyy3k1dU3usOstiv8dE\n6E5FGp1lPnFbJC7t4eD7KeFQaft+effK4y3+7ZTMWNmFFEKSxm3T3zphpY3HY7IsYzhcBaVEIn08\nAm9IHmAgnNCs8YngcjAOzK7QgE2SBOtCI7xZIo4oXzmaVmo9oArdbreVXg/7+/HexuMHzOdzve1B\nv66lKx7HQe89lDLBgDoM5khAPzo6Yj4XPe2QQQ2HQssLPGaRJ12wLyTDCewD1VIao0jK3FBiLLMC\nHoc7AuShFCRxTJal1JVY/c3n86VTWDDlpmmItSJNZCw8SpaGLZIEcbf3Qy5WGkd1XTOdTig9Vp2k\nMUmdyNDTYxj0ogQMGRGgIE6TxQTmcnNLa/RjTdxlJk/7XCpAHhHGOm+eMsUaR5bnYii+tka3m1MU\nBaPRBVVd0et12dwSlcminHN8coxWESsDmM+mnJ8eMy9SOr2cfn/A9vYqW9ur3L1zk4ODI46Pb3E5\nGnN2fsFrr73Oa6+/yWg0RkdC+WwaQ1EKewhnqYqCiSlJs4hu1vXsCBmOytIOVVfG2MtCNP5NU9PU\nolse+Ylaax2z6ZzJ5SUOSPKcvNNhMBiwtXWNjY0Nrl+/webmFr2eBOEklgwsTTOSRA7jQONsmobr\nG7dZufYUX7p5xNmnfobu0QFrZ6esjS/Jm4bcNCR1TVyVNA7cYEi8eouq0+X+/ITX0pTj9U3Otrap\ndReZP5EqRe5Byfn5OWVRSlVq5KC/uLyg31shjmLPNhK2mbUBalhAU06JtaNpDVEWzJNQvYX+WNhD\nYX8sZ7foBLTAs8rI/ohjoauKf7XINERRxGw6J440aZbJ62oaprMCpbnCMApT+agFhLOIBW/lqT8u\n17FcIQQJkNC4t3hTIuv7A05mR2bTGVVVeXVVOWCyVCiTddO0SVIglSj/e0PWvZwktrTKpaZ32Kva\nU6yDrLL2h0Wr36NFtTa814UG0VWp5//oG7mB6yzTdgszAmOa9k2G4Y7JZMJrr71Gp9Pl4uKSOI5Z\nW1sjjiOKoqDxWjXWGU/b8vQ667Bto04eO3xwnxt3nmghAGCpwbdMw1qmoDnRv3FWmjqJo6wkE5NS\nTjI7CQAxWSejPxiwsbHBwWDAZHRJVTXkqUXrWKoXHZFEUCNQVjGbMi/mGGtIo4Q41pSlt01zwhIm\nCkYKbUfCZ/GQpKlsbKQphc/uD/ceSA9DGhhtYwulPB7rTVEiTZwmZHmGnVWURcVkPJVGVpLSyTv0\nel2yLObyckzd1ERxRKebksQxk8mEe/fusT7c4Mb1mwyHQ3q9LvPZlJPTPZS2dHpdVtfWWV/fpNft\nsXtrh2tb6zTGUlY17/7iL+LTn/4Mb7xxn/OLS6azOePxRGCXphHcPRxaKMq6oWoWDlmxjkmznGo+\nYXV9oxWDM01DUcw9fFNiGgl4UZJybXuHweoKvb4IoYlezjob62LdOej3eObWl2Gt5YXXf5HpvKBq\napl6nYy4ee91vnRSMfixj3F7/5fpJjX17i73Usej/gpH6xvUnS5NmlFGMYVSDDs9OpPn+KcfgVU9\n4nd8/T2uv/kv2Xr+37JzcU7V63N05x386tY6n7l5i/3rN2hIqQc1t2/vsra2xnxeMJlMGY1GxEnC\nfHyOQ+6lVILCAlsEDd+j8D2hoGOvlpqf4ZAAybQD9VGYNdIUd8pryEdii+l8xRm0e4Jto3We6RPF\nSxWHUEurppFeTRyhokQGAU3jp899Y9lCY4Oa6CLgLydn9WxCPlhpt2jYK7Zd/wF7FyP7AGNJdYzE\nG9tQN3VrdJL5bL2qK+bzgrouwTvrtTIfSweMDSqlyk/2ugUuL79bXtdyQ9e5hcZ+gLskBoJItly1\nhpXHvrCAD/8fCPpBFU8v67ayOEmDc5W1UoY/ePCAILccsvamMa1jE4TTfjG8AYHju7i5SoWmnml1\nQ7S7mimErCLghtYYTF1RlyU6EaVME4l5efg34eSuowjXyej2emxd22ZlbY3ZbEZVNdS1IY1lkCzS\nEUmsSOII2wiHuixEhyeKOiRJtJSp6SWZYanRhY2CSAv4oC3/6d7qpank8dDDMDYsVA/oKpkMFUOQ\nLvN5w2xaMJvOW+mFZUhpXswxpiGKpSmmNIwnYw6PDrhYuSDSMYP+kDzrMBmPGE9OiGJL1ulweX7O\n+ckp/cGATqdHt9dn0O+zmXe4fuMG6+vrPPnkXQ6PHnH06JhHR8c8Oj7l4uJSRukbvNiX9Uqlot2i\nvQiWmMwHZ7O8nYhESYNaeyGwbrdDlmU88853sraxTrfbEzjNHyBZltHv9Xhq80P8t9+7grXwp/70\nbe796o9w55c/zvtefom7+3s83Nxi8kW/kQ9f/B6+4o99mD/3t58kUvAnvv8+/+qTPybTurGHEmup\n+D7w/m/iv/iuD2AQGOIfvGz4I9/3E7yx9xne9/Rv43//ExHvPfg3/MGNn+Srf/rHWRmPeO2pwejn\nTgAAIABJREFUZ/jld7+HTzzzjBweRcHp6TkHB4ecnl1QzUYUZYGua/I8J0sjnFqwcpbq1zYEQZAc\ndlf+Jz/mq0stU72BUtpCR055bwXV7jGzNPsiGbcjzXKBe/wggcEPyoG8PqV8APbP2Q7KuTZAt+Jb\nS5dIXi+bli/2v1K0MhaqTW6W90Oo/qVvIaQSKxVJIkkMzmESg/PubsaBVQsYuK1ATJCBCV9XIZjl\nKiW8H6UX2kFCLb6q/SVDcLaNY9ZebRZ/vtfbHvSzNPfsiUreuBMZZK0XEgoB2miMYTKZ4hwShDKh\nuElJJQJKWuv2tLUtt1iC/HLmfv32E0LDM6LFEkUReC/dxxtF4HFP04g71HxGYlN0EpPGmkinkjnh\nS2lrJUMoS6IoYX19g7W1dU6PTyimE6qqIUuyNnPROJIowqWxQBflnKYqASvaKspRW0PbSmpL34Ux\nSGiQxUq3VNJl6Gb71u5iE/oGcHD2Ws5aBLpISbOMum4Yj8YUs5I874o2P3gz7prJRKCoNI9kmjNN\naKqK6XTK+HJEUVRcnF+yuXGNNIlJU8vG+pD1zXUiYoppwf7DPfJcMv/V9XVWhqv0+ivc2LnGtc1N\nRuMxx6dnPHp0wvHJKXt7+xwcHHB6dsp0OqH2FocRWkTsjKUsa0xtSLI+08lc2CjOa+WnOVubKXES\n0et1GXrT89tP3GU4XCFJU0xjmEwmTKdTZrMZX/bs1/G937PC5P4F38Ff553f/nf5UP4yv3TrFj/z\n7vfywjd9M7bT5Su++FvpPfsu/se/nHFyIhnbH//+23zP972fF1/7FYwBaxps4wOVK1hfdxwfy73f\n2WmwVLzz7pfwx//4k9y/H/ExnuTvv/ht/M//y7/g8OVf5D2vvcpXf+Lf8m0/8VFef+5LeOHLfy0v\nvu99PLp9xosvvkSe51xcXFJ6KrTWjQTXFpZRRD6IBNkBguk5oer2YmwsAmj4u0BNYR1Zr5UUfi6I\n2/mKtP2nAmeIJ6yHGuMEZRWNtdAYIq/RpL2e03LGHn53cIxahiitdcQtpg/LHgkoBZHXlvJoQUtq\n8FCviiRRsM62ntpVVXmoMCWONN08I9GamacZO0cr1haIIWYJQlu+ZxDiTpitCQdNhGZBtlh23Irj\nuKWLh0MFuLKnv5DrbQ/6kdcLqRsxFQfrddBd28AMtKc48g0iS6tpscCjo3YApTEi/yoNUUWWJ0RX\n3ISWMEGlILA43NXvL9OwFLJxmqamLuY4Z0gRXDeOYxrnKJtaMoVYGjjTyYx+t8NwZZX19S26nT1m\n4wlVWUPPa77UFdYZIu3IEo1ShrKYMp9PaOoBQSq4NlYGWaTOFnYKyGHjFrS75Wu5+QNcyTTCYv1c\nzAOlhA47urjk7PSM+XzGYGW1bVjJ4SyuUsVkTK+/QZqlpElCEkUMh0Muzs452N/n6OBYmsNas7ba\n44k7uzzzzmd44m6X1dUVrLNMp3Mejh7y4M2H5N0eOzeus7m1Ra8/IMsSru9ssb29ibWO0WjE2cUl\nr712j5dffpXT0zPOz8+F9lnV1FVFVfphmDhhNpl4o3pLlqRsb2/xxO1dtre3GAy8AmYkGit1bWga\nEUMbjUYURYFWirWXnufPH/85vpEf5yf4rfxP+Z/iO35sh3/4r/5G23NKI3jt4Of42q+/xd/4G1l7\nP6tKoYkWdD0raqRpEvPq/Y/zF35kl7/yl27T6xu+7Xd9ll/61U/x3nd9FXW9+EzKEqxRHCk4eeZZ\nfvaZZ9moa37NK5/la/7R3+frq4rn/5MP8fO/9tfy6v4Br997g4d7+1xejji/vPDDP9KcT+KY2kOn\nQp30FEkXPJ8f86/13tIh4EvG6RbT7Y1MI4t8sg+sSzi7cw6naqq2nyLGPEkqk+iT8UiSo9iSZ5mf\njF7ALwEXl6Rs0ZcLe3MxIBf+NH63en0qX8XK9g8djLDYQ1UhjCmQwF8WHsfPO1L1ZhndPKepG8qS\nFkYOzdawb8Ipt7zHluNIoGoG/4jQcF6uApZZOmG/LQf9kLB9IVf0Az/wAz/wBT3DF3Ddu3ePF17b\nwzl8s9IQXKPAtUEd8Jji8mRatBTwW6ah51rbdrhjMWnI0gJxHNx/k/7KsKVsRlqklR+/wu+I/EKO\ntPbyv6ptMIMTipfPnJM0lWCtI/q9Ab1el6qsuLy44PLiAmMa8sDVxqEjaYDFsTAstMZnxgkOKIq5\nlOaRyAtINaM9hAOt/rkSly3UYmOExXP08AH94bB9T2FThowiPNbpCCXx8kJE5e7fu8/l2TlJJtBO\nkqYMhysMVvo0tmY8G7O+uUa3mxFggizLyJIUnKIuK+aTObPJjIuTcw72Djk8OGZ0OcEamZydzQpm\n04K6EmbHbDalKApm8ynGVKRpzGDYZ7DSo9PNWF1dYWfnOrdu3WFr8xr9vrBo0jhtYQGcYj46J+sO\nyLOclcGAjfUNbt26xTuefoqbN28xGAzo5h1urX+ATD3D6iDnwcGrjMdjitmML331s/y+f/wP2f2F\nn4bf8k183Rs/xkeyb+ePfHiTT9//COeXl173SLK08WTM+eRlfue3PsW//Nk+nY7jT/7pN/jEyz/O\nZDqVhq93FtNaDEDe2Ptl3vHsr9Jb/ef8m0/8C6y1TGcn/PZvfZKP/dwKaQo/+Gcf8PLDn2IymzGb\nzRmPx5w3Da9sXuPjX/FVjJ56B8/961/gG/7R36PblOgPfA356pof9lKtrEhdC7VV/JiDXMECzwev\nZadFCCxJfFLV9gQWomyyj2j3RlBAlcMgPKHAE1XTkOUd2RdRQpymdPt91tY3SLKExoiWvjHWm8y7\npcSLFopb9l0PQVVrRTOfkXY6Vxq61jmp/HC4YOPYQi9Xq+BIL0m1O+/B6+8V4Pd8LIemNyEKBIz2\nefTyobiAmcOwVXj+MOEfx9LjCJVFvTRzFJLdsiyv/Pzy+/uWb/w6nnzyyX//YLt0ve2ZfoAbtIpQ\nSYLSom3nAp+V0GkHZ43HDRejystNDrH/AxCXrCjyC89rrCxjcFfwf7dwsF8+Rd/CbEEyiqapRB0P\nwI+7Gyf8aO21wHWkSaKEPM/p93rcujXi/r177D14yPjygro2RLHI8kaxIphAV6UwYs7OOvQHPZFI\nVkJBXbYNJPQtPBavgjmJdHvf8j4cV9/LcqYfnjP2+iDT6ZS9h4fs7e0znc1J8y5raxsMBgN6/Z7M\nRaytEKWOyfRcaHDKy/yiqEphV02mE4p5hUbTyfskOqIqKx4dnFNMX2Tv/hF5JydKIjavbbF75zY3\nd2/S7/SItGI0uuD0/Jg4iVldW2V1fZW80yHPu6ytrtDtrrCxeY3dO09wenLKyfEJx48e8ejwEY8O\nj3j4+oztazusrg7p9zpkaUreyYiSlMl0hjE1dzc/yO/7zttUleIrv3KX7/wDBvcTf4UPfuyfY6OY\nf/y1v4mX3vFOhisr/NDvvARGfPzFn+Dh4YGssVbyQxgvRydHlNVf5c9/+GtAOT79+s9TVCXae79G\nsXgrGNMwGY84PTnllx4dURYFOzs7dLKU0WTMp1/5q/yZP//r0HHEi6/9K8bF3PdkpOmIVRRlgQN+\nZX2TN37vf8nuaMS7/vZf47/7oR/g577pt/GLH/gAx5dj7t+/z717b3K0v898OiXLUsLsStDkD8Yl\nwaJwkaXilTiXGTKLnpvIVUgObRrjpR9EuZZIYdE4q1hdXUdHmtl8JjaHwNrGJr3BAKdiqqMjqvmc\nSkdo1JWACT5hU46lZf05r5A5awVBI1S13Hxapp4fI/MkkbBfIl9MOD/oV1PMZmJAk1cMV9d9EJZ7\nNp/PxfrQ2nbvPd54xTP+WphKCzTkWNDElw+PsBfDwNaiwRtsVhfOYp/v9bYHfaUcDkMca1Qkht7W\nilKhOCjRNpkWNyd67DlAsgpppuiA7SPd+YWeimpLpJ3dOy0ryFkxtYgfw7eXr3aoqWnAyTi8+Lou\n4A6dhA1twCkiJeVZnndYXVtjZbhKmmZyaDmIfLAWzFn8ZatSTv3ZTITItIYszyirBrRvRukgK+zf\nvA74rMK6xpeq7SvHOcX2zd23HGKSxUkmI4tZtIQm4wmHh4ccHR1RNTWrG+s8+dSTrK4OSdKE4eoK\ng0EXS0mv05GGlJJFXDcN8/mcqq6QicMERUSsIiJSgb6MYTSaM57sebaGY31znaPjE84uznn2i97J\nlt6gthXnl2fMizndXpeta5s+q+/R6a3S62+wtrbKxvo6N3a2ubwYcXF2zsnxCQ8fPGR7+xppHLO2\nukq/18PahulMmC51XbOx2ucf/9Q6VSWfd/df/wIf2vseivqSj3711/Kpp54hSRNcVXOxt8fLr/9l\nokj7EhuiWCDFEPRDEnI5HvGLz/+0bwiLwbz27KhIy89XZcHJySkPHz7k+PgY5RwbG5vivZwkjGdz\nfvGXf4okSzDO+pkL1QaJYJjdmIbpbIJSmnGS8tnf/fv5xKNDPviTH+ErP/ZPef67/zAv/ebfwsf+\n9S/wQhJxsL/PbDZDGWi0rzJ15Kd2PWHBCbnBBraIx8CdZ8OAKLCqKAw9BY0Zh7FIJRwnMi/gQEcJ\nnd6ALM8giinPLyiKBqdi8m5K3p2QpiPqsqYoK9KW6x80/43v9fns2a9bnPTuojy/Yv+pQwljGwym\nhYXCAJyEi6it8Jt6oYOltRABIu0RA+v8wKTM++S5uJ5lee57FAvzolC5LxLE8OfSl3WECsj42ZAs\nzWVN6UA6WQyqygCoaeNSSJK/kOttD/pRLAFP6UBlksAdKE1hIpPQrPRl6XKpE+AgMT8IgW3BwFE6\n8o2lYNUnf/fIH4HU9bmyelkoChdMNkC8PY1M1wU+slmyXLOmwfrmcO210JMkodvv0+n1cfqEsmlI\n84438hb5gLKWZnYSLanrxQIXGTcXLRDnpQKU86yMIDFgsE4RqSXmBbSNNeekYRUym5ZvrSQ7T+OE\nbqcr8gaTKSfHx1yOLtFJyrUb13j23e+k28kpypJIi2lNXZVY05DoCCyUtWce1RX9fo+11VWsdRTz\nimJaUs0alBe6MlYkF6rG4WzN/PCYR+fn7B3ucz6+4OatHdIsoqiEIdTvdamLOZ1OhyTJGQw3WNuY\nMxhusDoY0E0TOlvrbK6tcH17k/W1FQa9jOlkKto2WYIxirpSPDq/lB5AXfCOZ6bcYMQP8Uf5CvVL\nPP+hP8T/mY+p6gbXLHSAwjBOmIzWWpg4raRDq0kvk9GyoQ0K0fKX70lGXTYlZWUYjWecnY8YT2YM\n+n2ybo+s2yNOM4wrxNEJhXGITZ4OtN3QlBQQxTQNs/kUZjOcg8ss47X//PfzLeOMp3/wz1F0v5yN\nP/N9dPKEz77S4+HDPYpiLmYi1hBZjTaC1WscsY6FDGGCfLT4GAS3M6kwFU1jA5gm7zFOyNJMEqMo\noTdYo9vtMR6PmZeGJIvp9FYpG8V8PuPsYky/1yfr9Fnf3CaOE04Oj8AaZCjKV7Mhy9cKrMGx0OZy\nzrRco9BPCMlMUOx3rZnCUobfCvR5FVOHd+0SmHXR2PWyHY1hPB1TmYo0FcZhpytwjwyc1Rhv46m8\n57AE6ZCwyiHgvAWkzF4qrwYbYSLjoWmFaWQyWPuGtmT9i4oh6Gt9vtfbHvTTxKCUsF0aU4sFnY79\nhxBU564Khgk0s8DgnBOOf5xEHtc3beblnANjqe3i30dRxNGD++zs3iYMW8SRHzcnbCr/3NZKFo84\nPukowilRB03Smk6vS5rGWD+NJ4tLyj0da4xpmM6nGGforwxY3dhgb/+Aybyg0+uQRzFYS2XFUCOK\nBcpYW1sn73RRKC++FlGbhT5HFKeoKPXNXO8b6pz32KXNipwD2xj233yDG7t3iHRK5KlgGp8EWUeW\nZAwHQ5xznDw64ez4hMbUbGxtcv3ODXbv3mR0OeLs8pSqmGOaigcP3qQqKyLtJ4a9EmqWpdy4eYON\n9TWcs1xcXHJyfMn58YSm0lSVwVYNVkVEaUIU9TC2oaznPDw44PjihLwb0+vlrK2ucG1rg+1r17BV\nzaA7oNdfQZmIclax9+Z9er0uGxubbGzI1GyvE9NNIx68/hJrWzsU84Lbm09zvPdFlI8ifuOXH/Kx\nX/k7mLLgN73+3/P9nX/Ezzz9XfzsH/wf+Df3/gHjyaQ9dK2lxcRl/SxG5J2zVJUI4kVRROInK421\nNEb09YM5eaQFIxeYJEapBKcSdJTR6a6weW2Hre3rdHoDjGkk9YkirKdINkZgCh1FJNor0dZNW/bX\nVYFpLAf332Rn9zZP3nySP/yRD/FS8e386eKP8W1/4INsft9/w0e/9Dmu797kjTfe4HD/gPl0yqwo\nRHbaWvIkpd/vEUWaytY4Y1Feprq2BmcNftCVeVF6qYOIOEro9QesDIYcHB5SW013sMbt27d58OAh\nr9+7R9UoNq9tcW1nwMnJKfsHp6yvWzY2N1hd3eT85JjLk0uqqkCr2kNIUsGnaUyaRFSlDNrhbSoj\nBcVsRtYP7lmOuhbWXqTFdMhaT4JQCuUlKbQWynMwWJcKQWBK5+mRYRI51mLfWtuGYlyQJDH9fp9+\nf0CiY8aTCWYy8UOhouMUedE+5ZNXOWgEErZGoRCpaTGGCkeWbqEl6UFoL7qoqKoakICf5vkXFHPf\n/qCfxoClqHwj1Kv/NY10uuEqmyZcC75roEIptF1QzJYnB01jW7bBQhMkdPZV65wTNrby+OtywzNo\nh1hrqf2YuPysh0aco8H5oRRpHjVNQxXJlHAURwz6or2fdXKqshCWERG2EbvEpjFsrG5w8+YuN3dv\nsrq+RhzHlKVMGVsTBjbEWDxSFnxzO9IRYvRslqqVwH7A99Wc7w9ERCrmcjplPp3R6/YYrgzRKC4u\nLzncP2ByekbW77H7xG3e9e5nMc7w6Rc+yeHBAbHWZEnM5fk5UaTlIHIRaZyQD4fkecrq6oCVYY8k\nTVjdGHL9RsPB3jlVaZnPKi5HEy4vR0ync4xrQFuiLME0ltnlOfO54vwMjvYVDzodNjY2uLlzk6ef\nepqV/hp5kmKspSzmvPrKZ3HOcufOHXZ3d7HW8crLr3J0uE/ZNGxvbfL8x5/jL/7oOgBbW+t8+L96\nhg98+PsYdbv84H/2u5hcX+X40/9Hy464MqPhFg5uIcNcuBkFLDZgruZKwiJYtKyfMFgT6ZS8E7G2\ntkFVN2K8s7lJtzfAoajqhqpupE8SadGhX1rzrZqsu0rBVUqMP0Sfv8PZWcSclO/lR/hJ9c38w//t\n21l/xzv4Z7/n97O9vc1nXniBV195lfOTExqnWBkM6KQpTd1QlT4B8kQIYxzGSQ9JeYngXGnqskYr\nTa83YHNzm9XVNcbTgtlsTlUb6saRZh2UTrkcz8g6c9Y21ukPVtk/eMTxyQVZ3qO72WNtbYPbd+5y\ntL9HXRViCmSl/xFFyIEZKl3t0QClBGxyohMk8E8YXZQETDlHMEVDieKoXcL3RQCPlpUkfTFJ8mif\nSeZBxBULiqLwRImkZUMF8T3B+ZFBTg89C21VBaTJIw1ShZjQX9TKey7Hi/5AqFyUYsFQ+g+Nslev\nt529c+/ggCiSwBbwrlAGLWNkcuoHHQz9OTfmoikSMDG/WZb0uUMDamV1TV5EANu4SuX0qGH7b/QS\nvNMYKTGzLCPNM6JEPqTGmgB5+sWHN4iISGIZ/Z9Np5ycHDM6O/fNJUtTC6uj2+1xa/cWd+48wdbW\nNfIsp24MRVESwC+P1ghcECRuVeRx+YXZQ6QVkVrggL3BSvvekyQhiROh8vlmcxRFjC5HfOYzn+Gl\nl15iXtfs3N7lve9/P8++612cnZ3wb3/p45yenmBNQ1OXTKdjup2cSDnSJKbbScUYPYtQ2lHXFWVV\nCGQVx+RZQn+lx8pKj8FKj/6gS6+Xk3XEQARlUcqiY02aiYuRqRvKomQ2nnFxPmJ8OeP8fMTR8TFH\njx5xfnHOxcWFV7DEy24/4PXXXscpTVmWXN/a5v/+ua/m4UNhR33n7C/yPR//Pn7yy76Sv/frv4Gz\nKGYynQILm7rlBGOxBj73OPyiqembeYCOVNt4VItTF6WU92fISZJYhr/6/XZyWYKGrIc4liGhRWLz\n1vmLZTmOOI4ZrK5irWU8P+NbPniXf/7PhjgH3/1nenzq629x9xMf56t++sc5/5pfT7a9QxrFYsJT\nFgLLKO8DrBQqEn9X5aGd2hiqWuQs4jhhfXWN4coqnU7Pe0JYVoar5J43P58XVE1DkmT0+qKOGzSK\nBv0BkVbMpjPKUqix3TwnSxKKuTxW1xV1U2GNn5RNYl+NW4K8sAOiYHAUOPo6QDfOdwOXqJMsZUG+\nMojjxMMoi4nXZZaSIAc1Gi/iFuBfn4Qp51qNoECzDASRBWlksRZUkEnXvhfiBK5dFgBcrK+FVEZ4\nTAHf/A2/4fNm77ztQf9XPvOSiBj5AQ7rFMZPVi5n+AEPvcL/XVr8i5si/+daBhAeMtJXNsrycywf\nnUqpx6z4QgDXgdXmg64iShJir/honWdwcHXBREqD9QMXcYwxDWdnZxweHmHnc+qmRkWKwcoKN27c\nZPf2bdY3NkiylNqLMlVVLYJUHkFVQbtDBQs51S7Gluv7WEM6BIUkjokj+dJaszJYodvtMp/NuX//\nAffu3UMpxd2nn+Jd7343t594gjiOefHFF3j11ZdxxpB7WzmFpd/v0Olk9Ho53W5OlsdEMdJgnI6Z\nTsdUVYHCeNjLEseOLEsYDHqsra8wGPTI84QkVsQxZLmoaUZaGm2RjtFEVKXh8nLC8fEp+/sHHBwd\nMplOGA6HbG9vk2UZl5eXHBwcMh5P2gDemIav+Yp38amfmfH3+Da+cfAL/NQf/a/5+bUejsUcyLK4\n1/K1/N+fa5ht+TFZk3iLTj8/odSVJEJG/dNWaEtsCv1UqPGSHp7loRRvSW4+1+8Nzx0OhqqqmZvX\n+D3fkfDNH3rEZfMxDi/Pef6dX0xsDN/81/9XZl/8HPbOXSIth+N0OhOJawU69towOGovjZBkaWsO\nApDnHdbXN1lZkd7Nyck51jph6uiIyXTG5eUYh2J7exutNbPZjNl0RhRFXNvaQmstBjzTCTjHoNeX\n5MUaqnJOWcxwQCdPZQ6HEBNCEG8/pTaghwawav+3iCGt5MjSISwBP/DhF25p4X7Wteg4RS23XrWM\nP9sOOEYtTLTsbxuuNpYFMsZSYH+cuQOLCV7rFohHeNw5x4d+09f+x0vZvPfGm1y/foPBYIVOp4Ou\nKsqiJHCsRD8jBHVpZgSM/yr80npLESiK+HiepPI2w0AFwMH9N7l289aCwuWDonPSwApyrW3DaKkr\nHyhXjWlaHF7pReYQvDXDKV+WpWR3ec7m5iY3b97klZdfYXw4pSobeis9tneuc/fJp9jaWidOYsqq\nkT5H0/hGoKeg+uaOKB4qP/JOKGqkl7CcKfgFdby/x60nnmypedY60ixjY2MDay0nxyfsH+xTViXv\nee97eO/73sdwa4tpWfHqq6/wmRdfpK4qBr0uvW6HPE/Rqo/CEkeQxJooBoeYYDhbU1UiJ2GahEib\nsM3QOiFJO2RZj06nS6eb0OsmDFdyZvMVqrKkLAsmo4mYjjQOjGI+q5iOZkxGc+I8pr82IE4lu+r3\n+2il6K2voYyhLCouT465cecJ6sbQ++xf4JXVv8unvuxD/F+/9bv55Vd+sZXfls80aj/rcO+WD/7l\n4RngSpAP1zIUFMfiDrb4/uLPkDkqJfCmUn7ory6vZHyCT9dXXudyIvR4gKjrmtPDfa7ffgKtNRej\nS37hkz++CEQ6RqmIf/KeX8Px9Vt821/8C6x+04eovvhLsN4H4uzsjKqucY1ktjhH1dTknQ7Dfp9O\nt0tdV1xejphPZjSDhl5/lcFA8ejRGYeHx3S7K2R5h8FgSHFyyunJGavDNfq9PtWw5Pj4mONHj1hb\nHXJ9ZweF4+hgn6P9A/p5h61r20SRpqkKivmUoM1lGtMezi3XHiinU9LeIHwIEgO4Wq0HeDYgCcuX\nxAUImjrayzVYb2DS9gYd7WcTWIABMg7tPFTwqBbM3sQLEx67xIwSBV1ZD4FujXI4/7j1MJ7Foq1a\neB9Y+Zkv5Hrbg/7Ln32ZunbcfTJjdbVLnktQqqtKcDfj9TyMZy4o1WrJh5Jataf7IhcPLllBbyec\npm3GtER5XM4EQqAMZiSh+as1ODwVDEAtDNStNa36ogkHBn4zIhVAWZZ08px+v8/16zvs7GxTjy9p\nMAzX1ti5cZObt26RZSnzYk5dl9TBEUkHDSLhhQu1KyI0mp1nJQR2grMOq1y7KRZZYYRYyDkshl7e\noz8YMJtOmUwnXFye0+v3+NJf8yV8+Vd+JfPa8Euf+AQvvvACB3t7rA2HbKyvsbWxxupwQBIrDg/3\nMHWFtTW2MlganM/qIyWvA2cwpqKuZ74noYmijDTrkmcD0rRDliXk+RAYthLbF2cXTMYzmspgKoh0\ngak1VVmyujbkxp0brG+tkSQJZVHwnie+hb/zN2+yulrzm7/hBT7yEx8miiJ+3QvP89t+/uf4S9/w\nW/jV2wPcZ3/eb9yw+QKsuMDIlxUOl+HDZfx8eT2Fnw+Zvujz68U6JCwdhzEV83njg4wiTSOUclRV\ns5giJcCVzvslLNbj44dReF1B7XP5e8H6M4oisjQjS3PSOOKTW9c5/K7v4bv/5l8hPjvln/yGb6S/\n0ufV11/n4d4e48kEV1fESSyKsV4CeHNtnSRJeBQfcXB4xNnZOTrOybs9trZ32N874OjRKevrmwxW\nVnFo9vcOuP/mfXZv3WJtuIqpG5HS3tvj7t27XNvaYjYecbT3kPOLC7Y2n2RjY4vLywtG40sEcIK6\nMaSeIx9McXBXKzG5w7TVPm4ZV/cMmqXPyf8oQfBxEfAXwV4SgoDMhwCtpMfhRC7a+Ga/UgrV60kV\nl8TEaUzcGOpat5+PCzAwS7ChP5Osx+1RoCKFMqrd2+2L/QKvtz3o773xAOMi8k4PrRJEJAsJAAAg\nAElEQVTRKM87REpRRwvZ2qUKRzbiMsb1GOYq2VbYNIvNsiydfH33ThsUw7RtuD7Xpna+iRWGUHS8\n0L4X2dWIFLCmwjRN+3IbGqyRhSEOWBFr6+vs7u4ym00Bw/b166xtbpD3enLgIDMLSVt6CkNEArjH\n8j2zRCkn/Vnw1QUtv1pompIZ7d590jMJvF5JHNPr9UiThNP5nNPTUy4vLxkOh2xsbNAf9Lk8POLR\n4QFnx48YDgY8/dRdrm2uc+3aBhvrQ5q64OLiiEk19bMKNcZWKIVI7MZKUFBlMabAuQposE5RlyWz\n2RhnT4iSnEFvhcFgyMrKkEF/BdOssLG2ynQyYz4pmU1KzpIxsc5oGsPddzzBc1/yHobrK5yfn3Nn\n6/38kT/0FGdn8jmen7+Pr/4NX8VX/K2/xnvvv8Gf+tbfweHGFvEVvDS0dBzBkjJ87/GSOzT6Hx+D\nfzwIy0G8KPMlMQjURzmwGxP8T700QioUycbLEwcKMjgv5ysH5dXBH9qqYjnr37pxi6qq3lIFhExV\nOUh0RFnUvNpY/uxv/w7+6Ef/Fiu24ee+/feSdbs0OKavv85sNift5MRaU5QlF+cXrPT6XN/e4db1\nG2idsP/ojIP9Izav7XD9+k06eZ/79x9wcnLCta1rbG1uo9Dce+01kjhmd3eXGzduYIzhwYM3BebZ\n3mJtfYOLi0sePTpma3OdLInp9roMhiuUxZTGBO0p711sA06uyHo9j9tf/WytdSiCHo5/zC0GP0Ov\nJQynhSn/Not3QlcVqQ7pLwUuffh8w++SiWcvga5kKr3T6XhGlxxUKEdVhsoi6B0FlOLqFHLwC267\nQSooEF894D6f698Z9E9OTvjRH/1RLi8vUUrxdV/3dXzwgx9kMpnwwz/8w5ycnLC1tcX3fu/30uv1\nAPjoRz/Kz/7sz6K15ju/8zt57rnn/p0voFGa40envPzZV5lOCnZ3d9na2iDPu0S14Gph6g3CoJUm\nIWqz6qtXuE2Lbr5sVn+jWXD8w02FsPF9Fsdisy9ooouiMXw4xjRUVUldZaherzV+cb4h5PzrSKKI\nJNZYU2MNRJHi2s42tVfWGw4HpGlG6Z1zwmyBVloMUxQYb6ShopBvhAjvhCWgBde3yuJJwW3AT5KE\nNMlxzrXUrzhOybIOR8fHvPzqK+zt72OMIUkSRuMR915/ncPjU6qi5OaNm+xcv8btWzfpdXN6nYwo\ncjw6PMMZQxJrlB9EqxuLwxBH/iBWYgSvcOhI7l/kNEYramcpyoKiKGnKkqqcUZYT5tMeWZajSOh2\nMrIko99z9PtD3K2YNO9w49YOt27dJMkT5vM5WnU5O1tsiJPXS373a3+Zy2LK9/+nv4Oq1yP+HJip\nc7IeAmZ7ZZT/MT0U51wLEYaMevlgCMGibiriKkiCW6yVg1+rmFgnOKUwTSNsbtswmxRcXFwwm0/p\ndDr0+12hhfqNXzfmCitrGcMP6zmOY/JcPA6CmYd47waRPO/9MJth5pU0L3GcJjE/8u3fxfd85G/x\nm//aX+LiW38nT5VPU9uG/f19eV+VrPXzszO0sbjGsHNtmzs3d2lsxP7JOcenJ+SdDhubW0ymc85O\nzzg5OUXrhBs3blFMC/4f6t482NbsLO/7rfVNe9777LPPdM9w+/bte7tbM5IQCI0Wg6RiFsFgKMeA\nEwobOwUhlE0SKq7wjyuUEoq4kCBAREXgyCBANpOQSLCRStaAgqaWWn277z3zuOfpG9fKH2t9397n\nIgSGwip9Vaf73DPsvc/+1nrX+z7v8z5Pf9Dl/Pycvb09HnnkEQb9LudnZwg0Kystdnd3OXhwn/sP\nDmivNPH9Ep3OBpfnJ0zGAwLfJUMbrr5V3Vy8H4ugXwR/y6YzfP+HrwWmjxAm087lGvKfsF93HEO5\nla6trG3l4QhpJB60RktRDO7FtimeZgm+tWQ0mkOeXWuWcsuigszbzfnrWZ7mNf0JCzHLXBH1r399\n0UZuHMc88cQTfNd3fReve93rePvb384LX/hC/uAP/oC9vT1+5Ed+hF6vx6c+9Sle9KIXcXR0xG/8\nxm/w0z/907z85S/nZ37mZ3jTm97058qv/Lp//z7vef8fM5vMmU0mhGFsjTqaVCplFsp0qih7lhsl\nef92oQxoHjfPZrWVek3TxGw8tTBWOT8+pN5sFRBJvmHhepOsWADY6VmRU+Mca+lnsvxyuVwwLfKD\nI7+Jyx6+kZUoUErh+yYbKJVKOK5rYayMNMuKAy3n8OrM6JjnQyVg+PdZmlmD9MWQWs4akdKYm5eC\nCufHhzRabfs3ioKx89nPfY5PfvKTXF5e0Go2ufv4HTY3N83k6mQMAlZWWjzx+F1W2018V5ImIb3u\nBfefe4bxqE8cz8yBpo36plKJzayU+dAKITVap4UqaD7M5Ni/x5WyGPqKo5AwDBmPR4zHVvgMSa1W\nY2dnlzt3H2Nzc8MErV6X0WiE0jOe//gtPvbRChvOJX9SfgNPeSk//+ZvIQuCa8yvRdW3yObjOCzW\nVx7cc9XD/PpC1OGHG3dZZmQStDaG2kqZKi+vBoNSgOu4xWGSJglXV1c8d/8el5cXaG2sF4PARwi7\nlgv4YZlRsmw0tDR/cnRAc6VdqNAuZ6P5uiRTuLnhT6aYCfjES7+SV330Q7zk6BLnG3+YRqvM8fkR\ng/6A6WRqmv/SAaXIkhTPcSlXquB4RKky+knzyFhKBsYOcjIxekMrKysEgU+/N2A2mxEEAe32KlmW\nEYZzwzqq12k0GsRxTPfqCtdzWF1doVotMxj0GQ37eJ4ZvtSZKtY5QDyb4QZB0cQl/zt1HkiXG96L\nYF8c1kWlZvetML2za3FLKwNTWmvOnLJbyC8sZepKZSRJTBxHxrpTKxxH4vtecQh4vmtc+8SSeRN5\nlm+ecrmJmz9+jk5825u+7q/dyJVf7JutVotHHnkEgFKpxM7ODr1ej4997GO87nWvA+D1r389H/3o\nRwH46Ec/yqte9Spc12V9fZ3NzU3u3bv3RV/AE3cf59FHb4EWdK+6HB4csb9/aNgtSlsVS8+qcRrP\nyPl8hjFZMbxW6Sy8Pq9vzFxfJmdMGBW/fKPkpRgsyj2TxV0/IIrMihz3V0RRSBxF1/A8rbXdHEbB\nMEuNvkoUhgS+b3jQ5XJRCpZKAeWKsR7MMcvMGjuYqV+jyOd5Psbr0yEfKFGZyZ6FVmYCONf7ThNc\naSz4As+n5Bu7QWPALqhUKtRqdbSC5557jqeeeorT0xN83+fR249y5+5dSuUyGuNmttJqsrtzg/VO\nm0atikDR617y4P6znJ0eEYVTsiwxH2mMVuZ1KWU2h85UwU0WSBzh4EoPz/XxXZ+SH1AOAjzLzNBZ\ngkoj5rMRk3Gffu+C7tUpw2EX1xOsdhq0202EhG6vS73U5NaNJxlNL7lx+9/xf/7L3+ep9Vfwyd0V\n3vr8FyMKoSq91INZVHw5YycIcktNc7muaw5yO4iVJwXLDd6Hm6nF95W9J6mRxJBCGMkNDdqKnTlS\nIgXMplOOjw45OjhkOp6QJQk6swe53fC5yFeO0edr7eEPA+vIa7K8+eGVJzSu4xD4fhFcpDRBapgm\nfOjHf43en1xw9T3vZPDsd/BtX/8WdnZ3jPJlZhILrTSj4ZCjw0MuLi4QQrC21qHdXmE6HnOw/wAp\nBZsbm7TbbaIo4uTkhEq5wq1bt6jValxcXHB1dcXG5ibr6xskaUq32yVOYlZW2/hBwHQ2YzoL8fyA\ndqdDUCqbuYwoJkpilNZ41t8h3882VlvMPCd6LKSaldIsJKadIibkTMFl2jdaFe9RnoxlWY63i2vx\nxrD7RNEPMJ+b7DzLUuIoZD6bMp2Omc+nJsGwuv2OXRtGxNE8V5IYkx9j86ivxauckvo3uf7KmP7F\nxQX379/nzp07DIdDWq0WAM1mk+FwCEC/3+fOnTvF76yurtLr9b7o437lV76c8/Muk8mM7sUVZ8fH\npElMv7fOk08+TqtlyjzHccmUMa2OotDaK3pIO0hl+6/kBuh51qusz2WOqyll2DRrW9sm+5KyULvL\nMVhz6l4fxBE6L+WFmR6NIhuUDTc+iWMSzys2ZhRFzOehme4UEjTGYs/2KObzmTmALGikMPMmOQsg\n1zwRjoPr+mROHgiwGb8oRKW0yshQONqMkJfLAYV7BKa6aG9smmnfZgutBSfHJ3zuc09zfHyM4zjs\n3bzJk89/Po/cumWYHHFsfHClpBQECKFI4ojhoMfpyRGnJ4fMZxNKvoPjmaCK9UIQltKWV1oajUjA\nsQFYStc0lIWxltTSQlQAdira/H5ClsUIDA20WguQjqI/uGI8mfL47ut55ztewP4Dnx/64VOc07fz\nTb/wo7z3BS/i3734pdywfgsPB8dl6m5OAAisN2ue3Rtjcf8alq+UuqZI+nDWvZz9CfKeCrjSMYCA\nbfpJuWBVzWczLi8umYzHrHU6tJpNSkEAthkvZM79zooG88P9q+Um88bOLjnZIf9bFvowEtf18C0T\nRqHNa3MEW2tt/u/feowPpr/Ln/Aa3vHza9x657fz/Oc/QzxPuDw7N4cZJvgNBgOkF9BxfertDtJx\nGQ4GdLtdk/BtbOE4DvN5yNHREZ2VNpubm2QqY//gAScnJzz++F1a7RXGkwndfh8toN1us9rp0O/3\n6PcH+L7DykqbldVVBv0rQ/BwhMmagxIqTfArleIgzvdEUdXke4ocol001M17spzNL2XsIodWbONX\nLTwZpIUYivUkc+zd9BCkNPtWkKMOKfN5ShhaqYccGfB9BArfc5DCI1PKKm6atWbosdbb2ELLf5E2\n2H/K9VcK+mEY8ta3vpXv+77vo1wuX/veX/YC/rLvS5Vw+9FbPPWZzzK6umDSu2Q+mTIZj4mmIzY3\n17n7vBcQBCUOnjskiue0Oh2Uyjh87gAhJds3b6ExNEyEYPvmbYSQnB/fR2WKjZ1dQHO8fx+tNasb\nWwghODs6QArJjd09AE4PD9BasbWzhxCC4/37ZFnGytoGEjg9OkC6Dms3tgC4PD3G9VxqtSeIwpCD\ne58nTTPWtncIw4j95+6htab+gpcwHo/53Kc/QRRHlJsrIODwuXsIR7K19whoOD18gJSSjRu7AJwd\n7eNIl5u374LGvF4p2L35KNIRHN6/RxzGrK5vorWxRKzWymxuPUmWKp757OcIo5jW2ia+53N+eEg0\nGXNj71G63R77954hnU+5/cSTvPCFL4Q05vDBs2zfvInSKYfP3cP3A+4+//nMZ1M+8sH/wPnZCZlO\nmI6HjAcD4sBjbXMFpTXdiwECxeqmUVTsd0dkWUa9WUFpzfAqRDoOa1tthJb0zvtkmaKxUkMAw+4I\njabRLOH6LpPBGK0le7e22d29xXwy5qlPfZJSvUFnpcP7fv8x/p8/Muvx538s5OPNX+CX7z7Ox176\nlUht7i/A5s4eIDg72kdrzeaOkd84OdjHNPUfQeuMk/37KK3Z2Dbv//G+mVnobN5AKcXl6TFBEHBj\n7xGEEJwe7qOUYm1rG601lydHIASbO9tIkXJ+fIxAsH5jBynh7OgIBGzvPYqUkpPDfa4ur1AqM5CO\nKxFZZmGOiOMHD3D9gO2922gNFydHqEyxubuHlJLTw320UnS2tgHzfc912bQkhcuTI4SUrN/YAaB7\neoIrHbbt+jo9PkRIwdYjt0gzxUo7ok+bN/JePsCr2f/jOe8vTXni7h2k1pw+9yxxllJrrJr1dLxP\nGM+5Va7geT5lIrxsxmDQp1qpMOudI5MRcRxxeXXJ8PIApTLa7TbdXo/PffJj1Jt1ao0mYRhytv8s\n2WxIZ/sRlFZ0j+8Tjq547MknWd/YZNw9M4NcpTJaw3Q4AKUQnpFtiSYTA6da8/ppf4DKMkq1BlI6\nxLMxCo1XrpKmqfl9wK1UDcQXGuG6oNowsguzMQB+tY4SmnA8QgpBUK0Dmmhq4M9KowFo4unYDNWV\nyggEyXyGRuMEAVplpPM5Qkj8WpVYCsLRCAQ02x0832cy6ENi1kKSJCSzKSmSUq2BkJJ4OiFF4Fdr\nXzSm/mXXXxr00zTlrW99K6997Wt5xSteAZjsfjAY0Gq16Pf7NK1Oe7vdptvtFr/b7XZpt9tf9PEr\ntRqOgJu726Ayzs4vGfYH9M4vcV0fv9zk8OCYtfUOt+4+jutKi/UOWLuxZd21TCm3ubeLwGroaNjc\nuWmzL/PvnLETxzFnRwds7d7EWSqVNq27VN4o2dzZI4oiO+0p2LixY9yhVGKD9R6e66JVRhzOaa9t\nEEURg36fJElod9bxSwFxHHJ2doJTKuF7HvP5DMfz2HrkVgHRSGHcvMBAO0rBxvZNXMct8Of1Gzs4\nlmooJGztPkIcx6AUruvQ7tylUg3wfZ9MKm7efozJZMp8HtE9PeGFL3sFruvzzOfv8elPf5ow1Txy\n53Fe9rKX8YIXvpDOWoc0TRgMeggpeMkrXkGlVGY47HNxcYaSEGUxw34XrRJWOi0qZR9TVCnaq1XQ\n4AhwpcvGxipxkhBFMVmmaK42TTmeCdCC9mp7IY8hNJ11o9UTR8bHtrXaoNNZ59atu+zu3iJLBfee\nPeDiokerscJkbHSGdjjkD/XX86ff9IP86Wpo9eJNlba1e9PeXW2D/wKb39jeRYgc489Ys8Exz+Dz\nwyFv8G9s71qTD0MD3tzZKzJsKSU7t25biCgjTWZsbG8XA3RmPZpgK4SBjx698ziNlVWiTNFqNXn8\nec9jY2OdnK65vr1Nrd4A7aDs+s2z9+XDK//Y3Nnj8uSo0Gbf2NkzWkC2Arlx8xF81yOLYhSKzZ0d\npGt06q/6PV7ztU/T77+IB/c3+ZPv+L94y//2zXzDP/pv+OzaFipOyMKIfq9v4AUpCTOBnCdcnJ1x\nY2eHF738lRwcHnBwcMTRYcbG+ia7K5to74iLqwva7TbrGztkWcZF94pRLOg0N0xFK13mykNUjHey\nzlLGowFxEiGEZHd3j9Ggx+npEUkcEkUxXq2CIzTT4RCnVAbPQ2MYf57nEVRrhQ+1lJJKvUWmjctV\n7ri1DNcFtXoBBSLMv2HR0C/VG5auCSAI6g3kkvhjpdmyWH6M4wiCasX2JTOUVji+9SzOMlSSgOeQ\nJAn9Xpd6s0Grs4rv+yRJxmw2Iww8w/zSRnU4qNeXqMZ//euLNnK11rztbW9jbW2N7/zO7yy+fnV1\nxcnJCU888QTvfe97WVtb40UvehG1Wo1f//Vf5w1veANXV1f83u/9Ht/7vd/7RRu5P/dLv0Q4D1lf\nX2f7xjarq+bUm85DRqMRw9GIKDI0QN93KZWCAqZZ0OV0wcwxnfgcz89I0wRQ116DUorxcEC92brG\n3smvojRk0agzpiYBrmemFIXj4DrGXEHaUi5NDewTR7EdJJHGiELDbD5nOp0SRpFh1kiHfLy66Nrn\n5ahamrzMcWO9mADMXY7MYQd+4FOplqlUSwSBMZiezWaFJ69SMBtP8EpVzs7OefbZZzk+PqZSqfAV\nX/ESXvCC59PpdFBakSQRrmvocp4rmU7GnB4f8tyzz3B8tM9kNESQEfgS33MQ2piCsNRQdB3XwGbk\nQyuLKWLz95kPMPLTRkLC9EEMDTZhNp3SqDe4c+dJ7t59kkqlzuHhCefnPRzHJ84Ub/6GW9z7Dxm/\nO3sDn3rNP+A/vm6H3uDS4uowHgyo1OvX7m1xfwsMNodJFjj/Mla/jN9LCwM+DBflv1c0dLWyyo2G\nYuc4C/MRMwRoWDWVSsX6EZfpdDqsrq7ied61oR9hxczy/tQyo2j5OfPe02Q4MEquSzBW3gcwkBKm\n35KlZFoZxVlMv+rg/Gme9+J9XvbKe3xm/Gfst9r8vXe9k/uvfj1JqUQcmwM8T4QyrYgSw1IJAo+1\nTodarUav26M/6JOmKc1mk62tLc7OzplMJvhBiVq9jhCSOIlQaIRjKNhRZLD6ZrNhtPdnM+bhjHK5\nRKfTJpzPmFvJ8YK8ICBLEhzfLyxNdQ7FCtNDyu+jabJfZ2TlEs65HHsxrc8CFizwdDtNS07bxJJI\n8klftI05MY6gEHwrNIAsfp+bn6dxQjifE4UhGqNuaozo84lh4yyIsIQA+/qFkHz738BE5YsG/aef\nfppf+ZVfIYoi3v/+9/O+972PtbU1vuZrvob3vOc9/OZv/ibT6ZTv//7vx/d9Go0Gk8mEt7/97Xzw\ngx/kB37gB9ja2voLn/z+/fv8/DveQTibs7m5ye72Np1Oh1KpQpbBcDRhNhkTW+nSOI7I0tRoktgG\npWneLKzTTHNKFoFSLQXQ/OZrbbRo8huXX8u/l2+YvNHnuda9xi5QJEtSxYvnV+lDC8s1ss7GE5VC\nd0MLs0BFgc8vgnvetDdJRc4WEla/25pUOMaSUTjmMPR9M8Djug6T8YTxaGzUCW0jvFJtUgpKNBst\nKpUa0nHY2NjgySefZHvnBuVKGTDToBpI05he94qDg332H9zn8HCf2WSEFMbW0XMlEsPIMclRPi+Q\nN5pydUGJ43i2Gb2YKkSBROI5rnH70oYrnyaJsZPUgo3NbW7uPUqtvkK/P+HB/SNmsxTXK+F5AYOj\nj/PLz/w4l3/ndbz/9bd4cPyMvcmmJ1KqVK8FcFjAjQsmR74u1J/72eXm2bLm0/JaWn7MvHGqbHWp\nMgVi4TiFldFwHdcM8wlBZul6QRCYpuJS5am1Jk5S5EPOb8uMoYdlGCq1xSGXfy8P+gKz/pTOSFVi\nrTYXlGSBNoqo3QumkxmnjRYrvs9r3//7PPXVr0F4HkmaMRqPGE+nlCol0+PKzN8c+B6VapU0SZjP\n56RpQrlUZm1tnfF0wngyAaBWr9PurKKUptsfIKQsJvIn47FhtnkuWht2TzifUa2WkWjSOCKOo0Jj\nynM9KrV64VkgMBIYjmPnWZb3plJmb3LdljBPFB+m8z58r5Ww/Ted8/3zpM1QLHXO77ckE0dKw5Sx\nDUeR9wSkaehn1nDGtfcxH+KMoojMHvqe79vAj5Ejt4Nd/8Wbvv5vR4bhiSee4F3vetcX/N5P/uRP\nfsGvv+Utb+Etb3nLX/kFJHHE5cUZ95+7R7VcZmfnJnfv3EEKn8kk5PDgOSajMVkSMR726PW63L59\nk43NNUpl47WZu8zEcWLF1VKEyCd4bdd+ic//8CEAi0zOHApcywaEyMWWsQMb0spD2MVgxqkAs9E8\nm+maAyF/LAfPUrQ0FBStvEFjekt68SFyze/cOUybEW7MhGYQ+CSJbVxLUDoljMwo/9gelLVqjXq9\nyXQW0+ueUyqVufXILV70ogaP3n6U6XTCxtYG5XKlaP7NZlMury7p97sM+l36vR7DfpfpeIjnCgLf\nx7g6GmaOlKJoMOcVi1babi6je+RajaIkiwFNpjOrbJpTUM2CzuKUNFG40qO90qHTXieKMh48d8TV\n1Yh6dYVbuzc4714STSb8o996Fx/b2OBX95pwdr8I2lossvBr2dsSpXcxnPOFmRDLQ1c5HXOZj78c\ngJcb/mmaIoU2cxkYCRFDDV0MVmWZadjN58b6cDAcgNa0V1eo1WrFsJDWqfFlJQLrnbCciDxML11u\nMuevfXmtK53fF2UH+EDYdew6xtQnX6COFkgNv/9Vr2b3+Ihv+Z138563fA9Kw3A8pj8aIRwH35Nk\nacp0POTk+ADHlTTqVTrtFv3hmPF4yGg8ZHV1ldF4wmw+ZzSZ0NlYp73a4fDkhNlsTqezRmtlheFo\nyOXlJY4UlIIS1WqNy4sTTk/PWF2p02y1iKI5va6RKMnSDBmYOQUpzMGmcq18df2wF5b8sFz3mabt\n9X8ru3bz9WPWFHb/2T2bG8poYYK5/XkBlr0nC1aG0BqpLVUZZSxDrHeB53k4roHv4jAinIfmfQ1K\nlMolAmEsUoNSgPQ8ojj5c1Ti/9TrSy649u5/+x600gwGA+azGa2VNltb20jHZzyeMZ3NSJOYOJoz\nHY+YzKcIi6MFgW94z/nEG1gMLb9xugjMsLjxQgjOjw+pNUwvIs+y8wAvyClYS7KmStuSOEU4xjQl\nl1EuKgMKpi+u6+J7PtjuP3KRtWv7nK7j2OxYI+0gmS6C5XVpCWPUEONanZlavQI5J18aTm8UzQlD\nQ2f1fd8oIFaqDAZDPvKhD1Iq13nssTs873nPZ3NrC98P8IMArRXT6ZTL7iX7+/f59Gc+xdOf/xwX\n52dMJ2PicI4rBeVyicB3MW+1QqJxXGmcuoogavD6NFWoTIMwEJjruQhS412s8+AlcaQ1W0+MqbkA\n2iur3L59l0ajzeXlgHv39nn80dcxuvwv+fd/9DW88uV3+a7f+2lmOuMX3/B1ZoxFLE9lm013dXpC\nc6W9lD0v2C5mrSwOeLg+7bp8La+bhymby4lB/phSCjzHKdZCMbUhTMRRmdHUGQwGHB0d8dxzz3F+\nfoHne5RLFTzX9HGy1NA7Da6rCxnv5aCfyy/EcYyUksuTI+qtleK15YcUGKevvFLNJ9pNLWYo79IG\n/PxzYzCi+NStO3zrH7+X7MYus8fuEEYR3f6ANE0KqqLWiiSOkUJQq9VwPY80TY2KZhyx0u6QacVs\nHpJkGbV6Hcfz6PV7ZJmiWq/RarUIQzMd7joO9XqNIPAYjQZE8xnVWoVatQJaMR6NCMO5eT/jCC8o\nLR3mEpBLjLslGZIl5lN+PXwIKJVXaLlEgjFR0mDN3y0DSBhhSMdqbSH0IplB2H2RFQeEsIeCGS+w\n1aPjWClovUhK7OvIlJnZQQr8IKBUqeAFPloIvvX1r/vyFVyTEqTjMh4NuffM52k0WkgZECcujUaL\nO3fuMhp16PYu6XYvGI/H7D94wHw+YTods7m5QbVWoVKpGP4xgjhKSO0Ah3QkC5lmc+WBfbkszj8v\ndDCWskKlFDpTZugGje9YbFpb9ywkaLNAtHU3ko41OlfCevsaeCcHIs3GdUjsVK2RU8izQlEYLRut\nnJwOaPH7eo1qrUyqUpJZQpql5ENNAK1mC9fxTJPo+JhnnrnP/v4BWgbs7d5ka4Dou+EAACAASURB\nVHubtfV1giDg8uqCy6tzzi/OObs44fT0mLOzE9IkplGt0KhV8X2XwCpBCpHLQUjbLFXFAZU3LA3M\nZd2ClKHMSiczuvlkSMcEG8fugJyXjtaUSiV2dx7h7t3n0R+Mefrzh/S7Y0hfz9vftgrAGz7yK+zc\nnPATb3oz2UPwy3KG7/kejuMUQe/afIa589cy8Hwt5P9fDu7LmXz+taIKtMHBKGZ6oBUOGkcazShl\nTX+EtnIOKiOKYvq9AScnpxwdHprG8MYG2UZq4S8TIDzPQ8XptcAEFPBD/jelaVocbsvvA1yvVLBz\nJkI6OBarkNrQha09rn1Mg0/HSUzkePzqt343//Cd/wfHP/VWbj56i4tej3v3nmEezsza8FySJKbX\n71KvNyhVatTrNSbTGWdnZ7Q7G7RX2kRxSn8w5ODggK3tG6xvbnJ51aXbHxD4Pu12m6vzc6IoAqDT\n6RCHUw7uP8twOKJe3aTRaFIqlRiPh0bX3nXx7c8rrc3UulYIckquXFQ/2jRVr/V5ckhgeQ3Yk3BZ\n3MxxHNsDUTbZW1K9FbYXJyVSuKg0s89n74FY6Otoe4Bjk8dctsV1XITjoYUkzZSlfUfESQpSUvN9\nfN/7z8fT/9u6Wq0W08mc9c110PDMM5/nwf4JjdYauzcf5aUveQGOJzk5OeTTn/4zPvv5pxheXTCf\njxkNB3SvLrmxfYPd7V0qtRqBX0IKjzRTZiE7ktl8bg2bta0SBDce2bM3biG7UEA61l5xoaSXwysm\nGOcU+IV/FyajF7kVI4ZylWQ4npHPdcnLa40SoJUijjJjDaeFzUpyrroVSrOPJdD4gY+P0cup1aqU\nSj6DgZmaTrMErVKyJKFeb7DSajMeTzk6POTB/iHnF5eUqjXa7Tb1Ro04mnO4b7jS9559ms9+7in2\nDx8wnY5wXEm5ErCztUXgOgidG1hkxp1JaDzXKAimaMJ5SCko2ea65eUv6x1pjYgFQmSkOkRKbaZj\nixJYoTDvCdIhKNdY3dhipbPBeJ7h+mVW1zbp9wzn/i28m3/M2/jt7/9VwsvfBR0jpWsVJIVhZmQK\nxxHs3nrMSnhkDwV8cwMXGaCwMxcLFUXzMwuYKK8e83mOh7F/swTsQYCD0ArhgBYpOrMZtTW7yRRk\nWjGZTZlMp0jp0mjWWWm3qTcNth1HEWlmmCauZzd6XvXZAC/lkpS2nTFZ3969BjdpJewaN05RFJCF\nxMkze2VMRnS+qMlVRyFVxoXqMysdPvzSr+LrfvFf4f/Ez/Jo481Mv2rCJ59+N3/0gT9A2PkUMAOU\nrVIJLSRXvQHDk1PG4wHbO7tkrDKejjk7O6XTabO3u0sSx0byQSlu7d2kUqkymYyJ04xqrcH27h77\nD+7T7Q1Zba9SrdRprawxHhsUwK1UrOiKsVJ1LbXd7FvTXxGZILMBP79X+f1XWhVmJTnsp1hKFDKz\njl3fMz03bQ5lM4MiUCInYGDWlZBAVgR8IQTSdTCWEVZ+AQFCWll5K96otHEFM7sfR0gzExSG6AFE\nUUK5UqZS+VumbP5tX1pApVah3miRpRnD4Yir3imj6YhqPeCRvQ6ba1s0GreAOeNpl6P9B0ThjEFP\nk0Qxk/GE+WTO2voW1UqNUlCmXCrjewFJFpvhKRHZzY/JAqxcs215FZtH22YJ2qpdaIERebLG0SIj\nSZX10vRNCaa0ad4gEdb7VSsrkbuUo5lADtjgo5WyzR1ptWpMMEktQyfLdHGqB4GZHqxUymhl2Dko\nhUpTonCO1opSUKJWazIazej1BlxcdDk7PWcymXL3zh1e8uIXUquUeO6Zpzk+Oeb05Jjn7j/D8ckh\ns/mEUtljtbnK+nqb1XYdKVKiMLETggnCYtRZKtF20rFSqZHTHnNWk+cJpGuyRJ0ptEpQWYbKYoJy\nCSFMYMhUhHR8dCYQnkezucLGxg38Wp179w85PDol0ZKgVudlX9XlDasnvL37Q/z3L30Pz9+YwAU4\nToB0JElqJ6nzEX2UpYpmRfXkup4N6LKA/bRSZEmG0ilSgJQenmMkFZPYaCORi1xphe86tgujC1aG\nzijkLQoMuOBmYbNrE+i1Fri+S9NvshFtEMbGNrPRMM3NUqVitNwzhesrSBP7+7bcL3R4DKyQM8Ry\nueGFjrtACpeiuMx9VZVG6wyEIsshkLwBLwTCEeS+U2iNTszPSwf+4LVfy4+/4+eRP/cJ/tsPvAaA\nf/hfbfHCuyc89czTRvsp0Qz7Y6q1Fn6pRKvZoFQuMRj0aK40CXyPZqPKcNBjPOzRWVlhpV5jWqmi\n4gShBZtbOxwe7XPV7REEPo1aBb9aJ5xOGc9TKvUyjZVNnNMuUTQizQSuAuFopNCgY5IkBeEhHB9w\nbJ/JGqDnLByB+RogrjVuLSycH+aYfockH5rUhqBgGVkSYfaizf5NYmlqBK0UWtjPyaW5l2BFS780\n50XBGURiqgclpJnOD2PCVJPM5szcyd8k5H7pMf3fef97qVZrVGpVNJrZfG5EobIEKRRKJ2id4rqC\nctkj8D1yOdw0SQhnc6aDIaPBkOl0ThjGaCVwHSMylkumuq40XXJhAvvp4QGNZst2901zLUkSsjQX\nS4OcZpiLnwnH4ntCW/kHa2IiRMEAyLMxLUSRnRVZb2bKQkFuDmIWkhS66CvkgSKzcFLOSDJCXEay\ndTabcX5+Ru/qkvl8htCawA8olcpkGewfHHF4eEy/l5tatKhXAnZ395iMRzz9uaf4+J9+hPvPPcPZ\n6TFxNKVa8VnvtNjYaNNu1ikFDqiINJ2SJcYT11Bf85AKQphp4UJPp4DMzIaS0oyXe57FPbEZkjK4\nq+MaXvU8DJGuT7uzztrGDbRweO7BIWcXPYTj0Wy1CfvP8rOf+DE+/l3/hORNDT75+Q+TWQ14ENZj\nwWqUC4nEDC+VK3WzGUVehjvFa1xunmuVolE4Ti6UZtUQrYyHEY9b8m9gUeWpzODvysJUyjI9TOVj\nNnvxHgmB67kEJdNPKZUDypUK7c4qa2truK5LnBiZDiGF0WTCNGCvabubVWaTydyVSXJ+dEjV9qoM\nrJnfl/xvN32vxSXAZv55INTYogDr2yTAD0wj0X/Nd/C1v/TP+DW+hzEN9h9UePObr/jkZz5p5FJc\n1/j5Og5BqUS5UkZKwXg6wfNcPN9DZSnj4RCtNK1mE89xmU2mDAZDyqUq7U6HOI4Zj8eEUUipVEJr\nSJVCOi6+V8JxPEbDCbPZHBVOcQMfxwFHKgurJcZQ3jrM5TdsudeRV0P5+5e/p+TrIn+HclJFfhCq\nPIGz7yly0d8jt8rM7/3igxxGtv0BZX8m98bKv3+dSoztBQgzpZ2kJFHC3/2Wb/zyxfQ9z6FUDpAS\nOzRhaIhSaAaDKz772Snd7jm7e7tsbm6wu7uDEIparcrlZZdRf0Q4nnJ5ccFoEtLvDxn0hgz6I9bX\n12k2m5SrPoFvKIlpmhGFIY6TK09CkppsNrVG07mMw0LITVt8b3EYaHJ2UO5harA+MJQxIZfx0YXh\ngxSiaN4YjFUY+8E0ATKE7RcorYycrKTYLNJxjCBVt8fJyRFpHFGplgkqFVzHKHxeXvZ58OABvW4f\n13FZaa/QXmkzGw949t4zjIYDjo8POdp/QEpG4Ds0GzXW1tusra/SbNXwpLADMFOi+Yw0jUkzbTaP\nNAeayX4zsDpFFA09TZKmplHtuobaaQON6xiXJK0VfsnFcTyieUiWKaP6WSqjhaDbHTCdTNjcWCfN\nwPd9vv09/4b/r7PGO8pz3HsfQ7PAtHMaaA7TLVhTSywcIRDk3gOLS4DJ/LS5f/mgFiwaoAY+MVsl\nSdKljDA3tlbXsH7pmsrw2uvLS/08MRCCWr2G67lUrP56UCoRJ0khyGdkRqxHg87F4Raia5ATF0wG\n6zjeErNIoJUo1qih0hrKQB60rgUiRMEqy2VIHGkSm3x2Ioklh6t1rnb/a956+GN8N+/ipS+bcdE9\nsRW0wHFcprMZTq9HpVZlfWOdW7duMvrkpxmPR1b5M6DTaTMcThj0+zRqDcqlEjpTXF1dsbV9g9X2\nKuPRgNFoRKNeZ219AyEEs+mE/nBEq96gtdIxA1yTCUmS4nsG15HWiCafaxFCXWNx5dfyAbpgc1Hc\nx/y6Jnmhcpze3HtzSNrKQC8IGMX60KanY5BaA/8aWnSGznReUD10LTJ+x67lotoUIi8O/trXlzzo\n5yJXYTgniuZoFL5vOLdpmtLv9wmjOVEcEoZzWq0WpVKJvb09OqvrDAYjer0+5+cXzGYRV1ddRqMp\nZ2cXrK522NzcYuvGFq1WwyocliBweezxFxZDXvP5nCTOcILFoEtehimVyx0bohtCIFwHlerFaZ8z\nUDIMZioWAkzXhJKwnp3WFEYpgVsYwWcoleL6vjWeNkwD1/MoVyp4vk8YhQz6fbrdK+IkoVlv0GgY\nSevJZMJoNGY4mjIej1A6w/UDPM8lTWMm84gHH/84o9GQaD4hi+bIkk+lWqHVbrHSXjFByPVIkog4\nmjOfzYnDGK1TFFZ3HI3OzaVVSmrLYtd1TbDTmIlY8v6Ia/noCVJ6pskFpKkmjGZMZjPqrTarqx1c\n16fX67PauMmNx36Qj3y4w6tfO+T5H/mf2Do/5Se+/XsRUlgj6Vz/PsdoF45Ti4na3cKLQUpsI00V\nHOsFritwhWsojEKYBrReTNqaatG1v2MllVkEAvP84lrguM4QWjxfMSS0ZHbium6h85MH3ZyGmaZp\nIfomhIPniqK4NHTNxK4dheNoNuxUORaa1PYwM8WXJGe35QOLUtpkpng8ozMkhURa4bZcT0orxac+\n9xFe/T9/I9/wo9/DO7/jt5i/5ga/9Kv3kFISxRHCMwZI0+mY6WyCEOvF2hoORwR+ic2tLR69fZvP\nfOopTk9PkTckK60WcZJydn5FGsfUq1Uq5TL9XpfJZMLOzjZpEjMeDs1BUK2xtrZGr3dBmsztPnPM\nQWf7dkLJAkZ5mHWV/3/5Y/l7+bVcGfx5quR1JtgCtlnqB+glMTghcaQuDoVFxfUXNWZ1YeySq+0K\nIZB/Q039L3nQ12SGkhUltkElqFYrGNlZU6YJKej1evR6PcNy2Fznzp073Lx5C4HD6ekZTz/9ec7O\nzgjDlCxVTCYjBoMBx8cnbJ/vsra2TqvVotVqUavVKJWNciVkOI4xb851t7VWKG3093Mer+Nq21h1\nENK1LjmGgeO6JuhHUT4puPA2zVkWBh4AltgWWmcobRs5OQYsMDomgW/K/1LZMhXGdLs9Li8uCecz\nWs02Oze20Drl/Pyc4+NTLi8vmYchlUqNdts4SiVpzPhixNnZKePBwGTcnotfNt60ndUWrVaDcrmE\nUhmzWUKaRCSpYQ2kGbafYaZDkSaLNVmMKqAaMOPuuTevSlIDU8QJQltcWEjAIfA9Mg2T2ZQkTtlY\n32Rr6waTacjh4SHPe+UP8mM/cguAB+95lv9Y+23++Td9M5EjKduDGpUzra4H3rypmV/5Jl6WVc6n\navMVmE9k5v4Ly8F8eSoTWLqfix7MMpMmL99z0a/lazl4GOPwOcPhkOnU6OivW0aVZ83IwzBkMpnQ\nqDetraKwlMP8cMps5p9b7+WBy3xuvEbyxrWdWi8On+vBUHP9oFJ6Mf2rtaGYqjQjjRP+6M9+h+TN\nb+CbfueHedvdn+KRR27SHw44Pz8vLB+jKKLf79PtdtkqBXTabUbDIaPRkE6nw+bGJvV6nf39Axq1\nBhvrm5RrNa66Ay4uLmitNM174XtMJhPSNMHzPRAQzuZEccT6zg7tdptwNgYVgTZsmNSazjjSQ+BY\nuDQr7tNyEzdndz18ADzM9lu+liu9pS+aPYGdnFfX2Tv5GsrUIkFYPojMQ+TBvwCEbGJK8e//bIJr\nf5tXkiTMpjPSVBXKhr5fQkqH2WyOJivepCiaM5vN0DqjWq1SLldZba+xtbWJEIJarc5gMGIynjIc\njhkMBkyGfQ5SxeVln3q9wepqm/X1NcLpgJu379gmmKRcLlOtlg2sksaFBr8mX/jKeL9icFaBmbJ0\nXRfXGqOrNCMlLTS2U6XI0hS0KjJKYReGdATS8YsA4gc+Ujo4nk+5XKVSrVGulK3ZBVxcXjEPIzJt\neAXzMOTk9IzZfEq/12U8GiMdB9/3qVRKhSaRyU4yUBGlaqmAi1xHsLLSYrXTpl6v4riSNIuI45As\nS0xQFZ6BZ3IuugSd4756MZWobVA3craGujgPI8Zj43GrswzXTig6jqRcqeC4Ho70aDTKdNY2aDXb\nzKNLGwiN+XZAyL/me3jfN/4kB/Vn8V1JRmICn2U1FUYWXA/QUkrOjw8LsbHlzX6Nrmc3bqYFqtjE\n2nTcTWfXmNhobQgBWWYPf9PsNc02U29oYcw2kIZJsry5lwOKUYqNOD8/5+TkhOl0SqPRMHaEnQ6B\nVQcNgoAsVQjh2OBt+gRGMj7PLHNVWTOUeHl6wtbuTRNA7OvD4v5g4CXPcVBqkdkW0+BL75O2bCXD\nQjN+ANLzC0XaD2xs8cpWm9d9+P9l+rLXMZqMiKI5w4kRKYujkN7VJaWST6u9QqVSplwuMxxNODs/\np1KtUqlUjfFLHDGeTCiVK9QbVc7OT1A6QUiolAOGowGDQY/AN14EcZIyGk5gGxr1JpekKMe1jVqF\nQJl+m4Uhrw/jUayV5b93OYA/XJ0tD3Z+oSqhgG6lsBIqS+vNkbZZaz+WIN9CL18vntc8/tIchTKm\n7QuHPveaBPhf5/qSB/04jlFa4Vt2Su41ayADhyyzWaQjkbKM1powDDk4OGA+j9hY36TVMlnt+voa\nzWaTKEwYjydcXl4y7I8YTyIG3R6T/pBB94rLy0ukjplFGdVqmXqjRrNZp1Ix1EMhPDvs5RZBX6nM\ncP+1g+uXUCov+x17s00wMEFWX8v+ctOHgoNvm3nGyESazDsIcF0fLaTRmi+VcFyHJE2ZzWZEUUQQ\nBDTqDfppyuXVJYezuS27zUHjecY4A6GZz2ckSQxgtPUDn1rJjPrXahVqFft3N2o4riBOQtLpnCRL\nUGlqGlfSReJaqqGhsS1K0qXml8Xsjb6L+Ztn8znD4ZjpZIq2Y/VmYEnTH4zRtpF7Y3uHRq1BqVS2\nGLRgpXPMjRu3+acn/4L7pSc5feNX4/3pgZWiSIyZR14Sa12838tmIvn1xcr65a+laYbSWQERLbLq\nfP5gUaojpWFY2edY6NVLtGvkJfKkbfl5FpPBuoAuL87OyNKUcrlcZJ/LAScISkuVlV1D+VyHXBxk\npoKIC+MdKfO1Rt5Xt/8xtOGH34f8ymmnSBayAoXmj0IIA3PFScK73/jN/Ogv/Sueeu0bGeztcnJ6\nQn/YR7oOrpBkScJwOKTf71Kt1KnXasxnIeFsxnQ8oV6vUalUmM1mDAYDNkplms0m3a6BdBrNGtVa\njdHYVkOlEuVqBTkYMh6PmUymBKUyQRAQpSlJGuE6pv/mOya5Mqwyee19Wu6zLQfaPPAvV3Zf6H16\nGBLK9wB2DkNg+yhC2HuV03qXLRJZSjEWSYhZqkvqAYYzVPRuzOv/Mufpa5XiuS6VStkOthgtjzQz\ngkWeLb+klPie4XfPpnN63T6j4Zjzs3NWWis0mi2qlSqNRpONtXWkdBgMBpycXnB8fMmwPyaah0ym\nEybzGYHrMhyODV2u1WBlpcV0OiYIfBw3h20kjm1ECjsoVXjUWpE1tNGMMYJKsoB6rplru67V11h0\nbQpTF980af0gwHHMfIFSRs46zVJms5DxeExqJXdr1SpRFPLg/n0uLy/xHEmlXKYU+MVCTpLM6JMo\ne5iWfLZv7uJ5Zpq31WzQqFfxPMPFjpOITEVF1aHzoEc+2GLYD1mWGBMKYQZgRN6TtAE4VSlpmhHH\nCePxjNk8JIxyeMdYOSa56qbW1FstPL+E0pLJdM5sNsfzfD7wiX/N//4DT/PGn/1F/s2/+AU+8Ol3\n41p4I0cxBHmjXFk6aEqmcgjOpLib2zmmr9DKQGj2lgFLQRGKzCsXiVseODO/kw99mWZh0eexUJ3h\n77s2sJgQkh8+y8ElH+LKMXzpOJRKJTNDUa8XgmvmAF0KwpahlMMGQoBjhjswJuwapWQhI24qr6WD\nzQ4QZUrb6V2nqD7NPlQFvRNMkoXMfSZy5VoLEdnk5qTR4vMvfyVf/b5/y/Hf+UZWO6scHu2j0Xie\ng5bGC/ny/JzyXoVGvU4UxkRRzGw2ZWWlQ7VaMY37mUkOGvU6UgiiMEQ0a9RrNSa1GlFoGv61Wp1a\ndcxkNDa+Ho0aK+vbnJ0eWJ0ia6gkpBmMtHEmT9BMgz6z93whj7HoxcAyK2r5+qKwil78jFycsOZ3\nisfUxef5a0IoUyrmD1N8P39uVfRwcnLJw6/rP/X6kgd9AQS+T+Dl/pEZWZoQRylBUMJ1JKm2vq9C\n4EoH13FJk5RwNmc2mdK7uqJarbOy0mZzYxNv22FjY5POapvO2jpr61d0uwOGgxG9Xo/BoE80mTAb\nx/T7gsurEpVKiZPjQ0qlEqVKmVIpIAg8Yzrhe/bfJfyghOvFCCyrwYpNIbSZwMUEovl8zmw2NRl2\nvUq5WjF0UxskCqgBCkcgRB40Dcd9HkbMZnNm4ZyVRpN6vYbjOEwmYwMTRCEy8MFmAWkakWUJnudS\n8j38wKdcKVGvGaioUi5RqZSpVEr41s83iucmQ9Qaz/eoiLIVDdPoRIAyOL3Z9Jm5DdJks1IKsA1U\nrSFJDDNqPJ4ync5JM2VgHMtpztKUOMpIEkW5WmV9fZPO2gaDwZhpeEFvMKBSqbJarfLKt/2PvPP1\nr+FDpx/Jx2RwHIHnBUYmIDNTpCrLjDxGriLpuqZhbgOUK01mpB7K3mAZQ7XBroD5bQPUUh6VxcNz\nExXTF1BFcM6drHJLRiENIywPEstNW8dxCpeuTqdDlmWUy2V2d3cLifICTikmbB2MeJ15geZ7GIMg\newpKKQoXqfxnTBKw6Glo7RRrzfN8PM9WMVAouwq5kNMw56epIAsoY4mMkCQxf/jar+Of/q8/xeZr\nvo6trQ2efbbGcDwysyeuURztXl6xsb5JtVolyxRXVz363R7lcpV6vc58HpGmGaHtRwW+RxSFZGlC\nq9Wk3W4zGPQI5yGVSpWVlbahak+ndNor+H4JgSRLMggcex9ND0pqWbBdDOwCS1A7QizgvmWsXiwF\n7oWcRfYFIaIFdn89GOe9kUUCqMxhmycATlEOFj2WRcWRP3bOCFxUnl/2mP7DvqWZ3cRpluBm160N\nF+W7tAsouxZAr64uOTk55plnPs/t24/x4he/mL29HXZ3dwnDmOFozPn5OQcHBzz3+c8RporZbGoc\noXpTBt0rw0UODOslbxJ6nke5XKFarRgcslJDCmPMHicRqd3gpZJfBIUcXllptwhKe5RKJeq1KijF\nPJyTxAlZlhElEWmWkmUG+jOUx4wojq266KLpGAQBpVKJps34PUdaiYcUMFm7dBza7SbtVotqtUZQ\nCqiUA64urljrtEmSiOlkRC8OrUtPjBAa1zOOW5VKYHDcOCMJFSo1Ga/SGVIrtFDGLNqVuJ5dgBYD\nTpOIKEqYjKdEYYojXcol30gDK80sHqO0oNZocfvOHb7ipS9jdWONP/vEpzg6OaZUqXJjd5dv++CH\nOGyv8uEnHjcHS6ZJYmMyXa/VDCc+TiExI+zKSjgYtlCuhWNMcXYeedRAH1lm3ytDx3y4WWeywOvs\nm2VoKP/cs5oy5ikXvPnlDF5pY/ieT+4uQ09AwcbZ3d1lZWUF13VptVr4vs98Pi9YQ77vW9kWUUyF\nLnyjMRO15FO5pno8Pdhn7cZ2cTDl2uvmUMLy/a9XHibECFsVGdhIKVUMJ+Veu8r2M8zfavxq76cp\nH3/51/DqP3wPR2/8NtY31hiMBkRhSEmUkK5LNJ8xnYxpNlvUa1Uuzi842N/H80ts7+yitaDb7XFx\necGjt2q4rstkMiYMQ/ygQ7NZ5/T0mOFwSL1WZ6XVYtQfEMcpQkhm454hCeR+0qajYnF9CdkXFlzM\n79nyofxwI3cZlsuyLyx0ppTK7XqLfpewbKg8RhlPBo0jKSrpvDek1cPZ+6LHsEwrNdUZixPrr3l9\nyYO+67hoMtJUk9PKHMfB942csMFWXbPRCyNrpzC2yLMmI0Clmc+nXFyeE0YhSZrw+GzC9vYO6xsb\n3L67hxAv4Pz8gg/9SQO/UuHy4orLyyu63R7zWcg8jIjDiCgMTUksHaSMGY2mZkOQl2UGize4Z4IQ\nUGs28TyP6WRCHEemEevl+LLN/uczZtPposTUZnYgTTOzUKXMSYi4jsmy4zhmNpswGY/wXZdqpcLK\nSgPPc8iyFNeRhu3ju3TW2rRaDWrVitmoOsNIKMyZTIaE4YzZfEoYGpqbkAZGS1JJHBuoIAhKVFs1\n0kiTRBopXZROmUdz492pM4utKOLMMEiUgijOmE5DxpM5OgPPM9x4pYxXbJJpvKBMo9lic+sGt24/\nhnAkr375P2A4WKOzlpJ+9p286lOf4p///b9vpirBqHkCWZKSRCFSSFSWMp9MmIzGeJ5Ho9WkXKkA\nEEaRncWQti+UH4x5xptv6LwXkeF6Lo40SUamlfWvNOqqImcl2c/N4QqO3d0eOe0ywFhBGnPzHJ/P\nM/D8EMiDgeu6VCoVy8U3xhl5wy7vCZWCMtNphNYmSCg7/WwSETPfEoZzRqMp5XJQ7Is8I8wrANP8\nE0itqdVcexgYGqiUAqWtJaROcbSVJLaBMgxDS2W2shkqxXEkaZKSqZjf/cpX8T/83P/C1mu/lq9+\n+Vfxd9/0z+j3HYR7j597579Euj7z2Yw0SQh8n1q9huf7zMM5cZwAphoaj4YMB332drbJkojpaMRk\nNKLVbqG15vLigs31DdrtNuPhmP0H9zk7P0drqDVazOcTJpMJa2sttIY0XVQ6yxz9ZfbOwz2XhzH/\nZT2j6/MROYUy16Gyx40QeK6LlNYcKIZrUA05vm+y+ut9HIoDefm15K8vpVERyAAAIABJREFUVw7Q\nX+5B33BXc8qcnXYTJnPJG5G52YGBEAzVEVgK9osOe258HsdzDg6eYzTpsb+/xt4jN7n92G12d/fY\n21tn7Tu+iclkanj+3T6D/qiAJcajCePxhNkstOyFlCQ2U5JxElnZgxQpXUrlEq5XQzpmuCZJIrIs\nRumMoORTLpfxPDNUNUuNsUmSJEhpFrrnBfamp4UOvxBO0aTLb/BsNmU8GlIu+TiOZqVVZ2WlQRzO\naTVrbKyv02zWqVZLBqsXpukZRSFRFBKUPfq9C6vxkZoJVK3QqZkelZlAOQ7acxEiskJxDsLxTWbq\nBDieQxh5pFliYB1HUhZGr300HDMcThkOJ8RxZsSjhMm0lIYsVaRK4UmHcrVGo7WCdBya5Zfy3/3E\nS7i8lDhScfTYD/Hbr30tg1IZnaZ2mMdMVgsgCiPiKGTQHdC9uCKeh6ysrFCtVvEcsxaiyPQzjO2l\nUZd0tUtiA61SRto431yOY6UVvkCjl6Wvg92ULLD2BenAtTK5Rgfew7sW4JeZIEajhmtBJQ/Wy0wf\nbRMCIx2e2mxfWRzaHFhZlgcJg7Ov3dguHsMccItq2rZjiudefCz+TtO3MrLAysINeSKs0IV4IICU\nCsfVXJWrfPgVr+a1//4Pcb7zl/kn//gGILh163l839+b8I7f+jmGgz7T8Yh6s0Xge7iOJJrPkRJq\ntSqj0djM5Mzn1Gp1yuWySVBmM6p1w/KZJTND/FAKz/fJtCYKY1Y39phO+ozHFdLx3AZ6cyCbJuoi\n01++t8sIwvK9v/7ePPw+LbOAlt67h7LzxaCmLCi4YBzizHMsqQEvwU/XIKNr62+p7yC+zIO+wWIX\ncrFmcQqyNGMymZGm+aCIGXVWmeHhS+ngW4qnOSFThPDxXMcq1yWE4ZSDB11OT/Y5Odvn/OqQu93H\n2d3ZpVZrUC77VCrr3LixidaC0XBCEivCMGY2nTOZTJnNQsIwZDqZM7WO9uPxEKVTKpUy9XqdSqVi\nN7um1+/hBy7hfE6z1WJ11QQkrTVRHJtpVbsQdBwZqYa8BFeqkAkWBkwGtGkCW+nk8XiAIwXlsk+n\n3WI2danXKzRbNVbbTVAZWZYQxjFxFBFGc8JwTpxGJhNxHaQjsAQNY82oFzxvs0mMeYXAw/MkWihj\nhOL7pkGZOSgMzCakQxJPmM1iRuMZ8zBFOr4dyfeQjovONGmWkGlByQ9Y6azRXGkznYdEozKXlybw\nfbf6NZJBzMde8dWofh+B4f57rofWgsjy2oeDAZf/P3dvHqztlp51/dbwDO+0x2/vbz7ndCfppGn6\n0HRCgkmQiEEKNWUoUEoLtaJBCojlUGpKRcuiCqnGUqhSlFiCIqgVyxQiYCawgiSQhoT0lJ5OD+ec\n73zDnvd+p2dca/nHvdbzvvs7DUr3H6fkqTrnm/Z+33c/w73WfV3XfV0np1yenRN6hyJw9+4xwTuZ\nwsIPQy0JV+1dR1XXTCdTrDX0Tsm9ZSxZZmnijnNjp71R2sjGTGR0RqfCrAc771RgB45AqVvQznbh\nT/ju9kP9spHbyyofCEMqG8BotEmPSxugLMtJiWrbJGK6rvHqbj15G0dUxQbXTpPiMn/hh0IkEJrf\nKvrxfXxP01T8Xx/9DfyhH/vj/Je7bni/r341Y5S/hg6wXq24ub6mGI0oi5LZbEbbibfRaCQqnqvL\nK9brtQgWplO6rmG5FJXP7myHvkkhI20kwjVt25FlBZOJPIdVtaBtZd4nyzVaW9J8gpwTvcmp4Pai\nd7v4IpyO2E0NePvLct/NfiDu1EOI1h1+KNYJDpN1x2+9l+LlRXd4tXjetyWl3+gOPx3vedFv25Z0\nYsqiYDQaoZShrmqauoFAhDmUuNC56KIY/XC0sIqicTcKEG+erjP4laOqO6rFknU752Z5zsnJUx49\nfIV23fHBD3+I/f1DDg+O2Ns7YDq5izE5ISjathd5Wd3RtR113UR4ZsFqNcdF1VEappGi3jC7GFOU\nGfP5nDwv2NnZoSiK4UFRWmEzKaC9iwZabgtnjTdX2mVprSiyDHJN39VcXjQYBcG17O5MyIynzA3B\ntbT1ir6VhLG2bejahrZv6bqG89NL7tzdk2KvRDqpjCZo6J3cTFZr8khGd07gJue7YeAGpTDWEGJA\nhPeB4BRV3bOuOroukGUjiqIUTyEt18d5R+c8QWtme3vce/CA6e4u51dXPNw7YzT6Nmy14GP8KB//\nof+Km/UvxntCrKmbuqVaV8yvb7i4uODy4oKby0vq1YrMWlycqej7FpQSyalWPHnzyxzevU/TNhJX\nWa2x1rC7u0tBjgzd6ZhCljDfZL8hfwohRKuFTVGEd+++RBWSXkOCSl6GCtLxsm78ZV14KvppMZCO\ntqfrZAcr+RGGgB8gzzzPcE5x/vwZ9195De/TDldcIgcJYdT0izHYbb5Cfq7oMaPSz7j5nPIjJ7ki\nMZY00PUtL8ZT3vh1384PtT/Gn+GPAHBw4EGfkVlD7z3z+Q3T2Q7j6Q7Hx8c8f3HCerUmy0ryPCPL\nM9brNQqYTScsFmLHUa1X7O3usl6tqWupC0mzX9c1N+fPObx7j7Ico7WlrhusNeTFiMxmiKf9prMa\nJJfxh/JxoQw+/kxBYOZktRKSM+bWLjydmxC2FTpsXW+/SfZTaYEVXildh01XsSGOhwU/Jf6pTQfx\n8rX6eo/3vOj3ncN5Jz7RSpPnhcAzXRtxRIu1khHa9+3mgqlNgIRAIYFt7xTnevLMsn+wR+8bqnbN\n9c0l8/kNz549QzvN87Nn7O0dcvfufe7dvc/73/8tjEeTyCEE+k5kb5Npye7eTDxklHh59H3Her1m\nsVgwny8icduR55ajo0PKshjwyqZtYgjLxuK37TohUpsuQloyuCWLlxkeeFkrNMF78Q9fr1B4RoUl\nzxRqnBO8Yzm/ZL24FFgmROMv73AxxMEYRWY1Vgd5CCBKDK0MGAWw1pBF7DeEXgpG6Kg7T+c6bFag\ntOzyu87T1D1d71jMG7o2kGdjpuOc0aikrcXVlKhe6F2PsZaje8fcvX8fYy1Pnz/jZ//af8wf++P/\nOb/+z/63LPT38Mnjc/q3JQXKKE1dN9xc33B+dsb8+oblcslisaCrKzKtmU2n7Mx2KLIc1zu6XiAt\nUMznN6yblsVyybquaPue2WzG4eGB7JRjh/O1koi2sdTtdnobchseQEX0UVEo50WGhxsECtvwDmz8\n7tNrbN/TL0NMgbCRd8YuoygytEnZC1Ko00JgYrecHGW993E6GHHlVAZlRD5LhImIhWe7uKgoEfQ+\n8WpBoKEBDwdtZV5CZKA1P/XR7+IP/k8/xo/9yR/mzWeWvcMv8yf+u4+R5SUmwGq5YDG/Ybazx73j\nu1xeXHF5eRm5LOGqVoslIThGkxFZbmmva6qq4vDwkPF4TF231HXD3u4+eVZQr9e4iZXOP5f7s6pa\nSnLxyVGbKe20KG8XzW3s/GVy/2WVzDa8c+v+SPj+1vcNk+FKhjYHWC+kAasokEgmgQSS939cdYbB\n1Hd/hm/seM+LflGUhODJrKgiVqsVdV1zcXHBZDJhPJqIfr13A3aq1e1xZNe7+KAFuq6h6xoCgdFo\nxO7OHsXYUrcVq9WSrnPkeQ4ozs5PePb8GV/4wucYjSbkecne7h6Hh0ccHNyJaoNdZrOZ7F61IcsM\n+3s7BO9Yr+a89eZXePPNt7i8usYYy8HBPnt7+5RlTt1UXF1dUDeVRKLFnRcAStE2DUZbcptjtcBD\n1mSUowLvnSwo1zdctA3L1Zz1egm+YzzK2dudkWcaa8QzvO9amraLN3+OieSSkLWeB/f3hTD0/YAf\nZ1mcto0PPt4TIjGrCHHAyMWR/IBzCt9rqqpjuWxYrWraXnDVttNoO6IoRzE1yaMRUrPre7zvybOS\nO/fuMdnd5Wa15K133uHJs6f8zb/wH/Avf+Jv8J/+wR/h/PwtxqMxwUO1WnN2es7Td97h7OQU10dD\nPC9JY3mWc3R0h3v3jtnZmRJgmKYGCMbwhS9+nouLC4JS7OztDvJUwap7mral7xzFaCzTtLx78EYr\nkcyl65Z2YYHUCURCju0p0M3wz7ZyZMhlha0py42J2stFR2mRUYp8OBLz+BgAHobFQLpCw4NX3hff\nR5FloJVlcItVZthhbt5ENkvy/iKGSItL8ueRZystCgmvTh1PtAoIjs8VOScPHvDqL3+Mv15O+PN/\n6Re4vr5m/+AOxuY0bct6Lclu09kueZ5zcX2D0ob9/QMmkzHL+Q1d11GWOUUWQ5HaliKiAOt1TZ1g\nrrF8vR3v4ZwnswXWCPentMVF7iYNDL5swbF93m91AOplKCVJKb/2IXAsm9cBrE2+Ymm2QtRUxsQa\npi0bs9Pk2SOndrg+QUzz2PpcWoU4sPX1H+950Z/NdskyC8rTNg3z+Zy+76N3/JjMZtR1w3K5oqpk\ngEisVVNkHDjf4V0fp1sNSueAPCjj0QgdTapMJPqKosT7wHq9ZrVa07YdbVsLWbq45vmLp3EIR4gt\nm2XkWUaWZUwmE+7fvUde5KzXFScnJ5ycnLJaVRRliTawszOTQTKjRaHQd5HQzUl+LUqLGVmZlxRZ\nASFQVRV4j1Gina7Wa54+eVvUSNWSIjcc7O+wOyvQytO3DXgnQ2xWkekMkKKvgU4FvO8QXiCS5U4R\nXAprkSlSuZmkpey6HmNkuEfsduNu0oiaY7WuubxccH4xZ7ms8V5CQ1zvUEDfuGHoqywzrLEURU85\nHrN7sM/ewT6d6zg5PeX65obd/T1+3xe/yM/+ht/A9WiE8aJYub6+5vzigmdPn3L64oRqtWYymjAq\nR3ib09mGyajgzuEhe3t7FHlB0zZkxjI5mHBweEg5GvH8yRP61YpyPObOgXyt1oq2FWfVpmlkCA1I\nO93bcMdmB/zuXddtSMbEAPQQepx7d1bttgJkG/bZkK6byeLt9+86ick0VqO9Filv1w8FFzaqj+3u\n2JgMbxNmvPk5kkQxwRIJXhh28BogiB9/CKBi8fdOOKBbxcqhbQZo2rbh//6ef5Tf/tP/Jz/5Q7+P\no6Mjzs8vWa0WTCazGA8qlugBmE6n3CyXJCnsqCy5urigqtYURT6Q+KlY53mBVpqmaWjblul0xrk+\nY7WumE7HlOMJZTlivYqQqxck4WVt+zap+3Kxf7njGq7f1yj67+rO4teJoi9dv5emf4nDdiEG/qQw\nliDE/O0kt8TJMMCN/1Do9EVyaQSDjpBHllkODw8oipKulXZ9uVzStn305pETLg9IT9e1cTWVByPL\nLFoL/uycwwFoHT19ZNczv7hivDvB2myIIlytlkJg6YBWMr/Zth2LZTMQasZYvvylzzOZTNHReK1p\nOwKOul6zXN6wrlbs7O4xm01Rao3SmrKUwa4UZqGUBg+5zSnzAgK0TUvd1GSNeKinTE28I7OGssgp\ny5wsE4VI19ao4FA2tvVGdptGKSQuTohHpQ3nZzfcvbcvC0psIYPrZTZguGkDwfebqVsL6DgX5x1G\ny8KX5QVZVmBNwEU/cRUlnOK+KROt3gdc9OCfTCc8ePiQ6WzGcr3i8voSZTW/eTrl9c98lj/0O3+n\n2AMEaJqGi4sLXjx/wdXlFV3bk2c5o2JEbgtcUNgCdmYzZtMJZZGRCGitxVPo277tA1xfnPFN3/zN\nLJYLirLg8eOH7O7uxOxRWQyTvj3AEHa/OTbY/uZXacGlWMu2QP5us4tOJNxtIk6O9PcvO21u//vL\nfxaRQgBlthaLRBRuE5GBZ28/4eGr75frzjZuvIEinEs7+9vvNbweDNJkpWQab8Dx5Z3kqxLBGcKQ\nPPXJB4/4weWCX7Oc86V7d3ny9tssV2tGo/EwbbxerZju7LG3v8vlzc2w6M1mM8qiYL2SoUZjDOPJ\nGOcdTSM4vdZaBAp1HTvwgpuzp9w53GNUltLlxsnb8BLkkjqsbZgtQXAvHy9fs+174vb9sQXHyRfj\ng6frBNLRJkF4mwV/AzPBxmEzDPdNguzkpV/q/F7u1L6O4z0v+iKfc1TVGucdRVEwmUyYTCYopWmb\nbksiJsMUikiKEIQw0zGiTEUsMuqztVZ0fYtRZggBt9bE9j8GcxvpCnwIaBOi/7Z449joX79cKuqm\niSEJirZuWK4Em8vzgvG4xIcQ1T4r1uslu3t7EhBhM5SSQAljxb6370WB1Lcd9J5cW3KbYZCx9dZq\n8iJjNpvy6NED9vamdG1FCB3WAqGna1tc35IlRCGA9xprM5kQ9h4VghCz8eF0fbQ8Rjy5+65H4VEp\nECYRTkHwXh2tePuuBxUoZ1MxypruM9upmc9r2jbQNJ3AVnFqN/ge37d0XU3VN0BPMRrx6PFjxuMx\nZ+dnLNdrprMZ/8YnPs1f+Z7vpivHEBR913OzuOH50+ecnZ7KgE6WUeay2HnX03YNeaYpRwVZkaIE\nQzSjC2R5zuGdI46Oj/HWMl+v6PqO47t3yfOcdbWmdw5jLTmKUTmm651EOwLc+j9sVBt6iLDUauOQ\nkh724B2eOJDTOYxlCzKSr9wu+GkIa5vITcdmU+MHuWWS922cRG8Xo2Sp4GNkZAgg81YhckXpcQ/D\nvj/IVp8wmOyHoZCn11c6DLLWEMnc7fcO0b7CZoaqbfj0d38v3/HLf5tf/Mh3sL+/x3K1xsf1tG5q\n5os5+3eO2d3Zochzmlbkw6NRSV7kLOc3FFVBUYjkeblaUje18E9a0TQtTVNzdHRMOSpZVQ7nPVk2\nFrVYvI+MNigrUGXC4tPMxNdakP9+x6bzYovoTmc++e0oUBodzNZAVspPNjgnpLL3Yfh6WYiTjca2\n3080cBtO89YV+wZx/fe86HddQ9f3VKsVWW6Z7eywu7ODtZkw9U1DCIGyLJBCnQEB5+MkrjWYTEux\nibmkxipMpoc21VhFXljGY5ksbFs4uLt7Kz81hMB4XEQPEh8XBIvNQJsJE1eKWshYnAPXOYIPZFmO\nsTlt27Fer2jbisVizn61YlQUFFbSpfJcUqLarqWrxGdmvVwxykoyB9lkgvZO4vF8RpmN2JmOuHOw\ngzYwn19ycXHC/OaSvq0wygO9mKEZ0PhY7MuI98rgleTQwuH+Lq5LUrs4/YsQ4Ca1qTr9fVpIN4sD\niDvn0fERRblD3QRu5mvqumexFMsFBQQvvj83l5c8e/4O88WSwmoOju/x6NErWJuzXFU0TcdvXNY8\nvrnhz/zG7wUHbdOxXq45fX7C+YsTqsUSYzTjcUGRZXSupaplc1CWO5SzMTrP8VrThUDnJHhmXTfc\nLFd864dfx3/u87z62vtYLBaUowmd87SdG4aTZIAri8XRDbVMxVSzkPiOQYk9JJyiSbHZMfw8Wjf0\nfU/fScyismK+lnZxPvRRsRVJOh2Tt6JP/9d6ojdDXfJeGxO47UlSWQzuP34lChnihHsvxdyaDKX9\nRrmlInE4yE7iYhGEywle8nmVUmizGShKMEcA8E42CzrCgUbT+46//eu/nd/3X3yMw+/9Pg7vHPHk\n6bM4mepo+grMXMjZ6RRjFE1bUVUrAp6ssLSup2kbRmOxRFmslqzqir3ZLjY3uFVP3dUURcZoXNC2\n+zLH4CXu0ntN0/RY48ltLLAh+ofE3bJwMkklB5sl/msvBIoNka6EZZVzEwU2G6hHR64nSkWHr5VF\nV7QNKnIpG6uLYcMR4sfUcg8OHhJKYLZogvH3ran/b8d7X/R7IWWc6ylUxrgomI4noBQXiwsuLi6G\nIIksy+V7XC/GKyrEtlwWAdFnW3RmMZlCGYXNNEVuMdrRdSv6Po6tq54QWrERRlr88Shnm2RrW3Et\nLAtRTwQEOzXGQ5GTmTxCPI666dA64FzHxfkJKnjW8xu8h9lkh9nOLlpburqhXixYXl8zv5kTxjNm\nJqMjQFth8ZRaMy4yxtMxxirKUUZReBaLc7yXUJO8lNg5rTzWQm4M3qhoS6BuEVZJOik7+YgZA3lZ\nkJeZSBZDoHfiNGmMic6ambgEBk0fpYGTyYi9w31cMIxXFV3vaTtP30sRsSajbVuePXmHF5fnLBZr\nstmM93/zB3nw4BVePH/O1fkNy5s1/+pnPslf/E2/BZPvsD494/z8nMX1nKvzc+ZXczRQZhlFplGm\np6puuK5u2D845PjxXe4+ekgxndEbw2K9Zh1VUqdXV/zKpz/N4eEhy7pmsrtHPprQ9gGaHq1zul7g\nRK0MjRaXUhfENx4PJrObOMzhwZZuZpvYkwIQIsxD/DtIQeRJmRVciIqtemuaPEej6LuOflCrbRxC\njVJkeR5hndTR+UjmMhSvZBwm/A3xmgeUFiVRiPYZEhJuCEHiJBVbwTMYmkZ2zLnJ6enxcdrbhRii\ngsckuWjQNG3NtIi23F1H3wfyfMrzyYgXj17hO976Kl+6f4/ml36JUFWMtcGjWK1WXF6dM9vdwRhD\n1zVc31wxX+xTjkt0pulx2DKj0CWnF2cslkuOj+8yno65urlmXS/AOCbTkvXKUFVrlquMvBhjTEFd\ndfiuh8JECa6hj3m4cqFEkimWXhEySfi+1qiUpRE7IaUUNtk3R7xeMh2i6m4LvnHKDzJu52So07k+\nLqIycZ+6jyQB9j4aqw2mauLrtYF6pL1M3dw3crznRd9YCL1gq67ruLm6plrXEO0HUvtbVTV97ymK\ngjyzceBGPHqM1Zhkdha7IJtb8lGOUWGIUXOuG0ihy5Mbxrslg0IBT56L3C0lEfW9XLD0MBojcrcQ\nglgQ+0BupXUuy4KizFgvKxbza+rVmouTMyaTCfrBYyajMcqC71pc16BDoMwsVoPBY4KnWq14+82v\n4vHsHu5x7/5dju7dIcsP2JnNGEe//3W9xmZjRnmOoqfrO/ABQ4ZzPd4npZAMpXg8V9cLjo8OhEjW\n8iA7F+hbh9ICS/jg6XF0rkd1cVejYxqRg7qqWSznmLJEZyVoj800tsgFNNIxlziiA3efvMPV1Q22\nKCnKMcv5kvfd+S5Gv+af5Fvv/E3uf+oT/NLr38nZsxe8+eU3OT89pa0rXNOiMZH81kK4rtesmyXF\nyHJwZ5c7x4fs7O8DhqZr6bwnKElNWtU1T58/5xO//MvcffSYruvFCZWAUr3UcTHAH1wnbcS4rdEo\nu4FPghfZrsyEKHkow2avJVh7rCNKCkCRF4yKyYYHshqVySyJ954ij2RdhBskNa5BaxnaE3WHQAje\n62hHYgYMeEBYVMJ/5bM453jx5C2OHz2Q+xqwVg9Ero4fPCU2Bt9LjoW15KOC0WiP9WrFarWKUugE\nJWmCkfkMHXMGQoCgJQgnLzKKLMcYRdu39K7js9/3fXzXz/88P/nbfgBjsiE/Ng1grtZr6rpiNC4Y\nj0c417Ner5jtzNBWnv2mbRmPx4zG4w2XEX/utm3FHsJqmuU5ZfFAuvXRhPF4Jjeg7nF9Jx2Xjpg5\nasgCBgPIpDiA9n7IFlCx2G8WeXBhgwoQuy4XNpPWA6lvUsCO5+USm7q1hDAkLyhBKohFPZH98d/w\nBC9d9zcI58s1+MZf4hs7nAu4ztH3HhUcVVWzXK3pnBt8dVIhlkPaNKONBJU7UWEoLRBOWRRMZxNm\nO1Os1SyXC1IAhXjc9AyQZWrYfaDvpQimldVoizEiq9JaY42NJlMarT10rTDxOvrqx/+Iu8Wmamkq\nsZHouw5NIDeGkGd0RQ5djwmBwuSieula6qpicX3D9fKGk/MTrm4uWdePQQUO7+wxHo8pyxGr5Zy6\nbihiPKFzPR09mQloxrJjIcIzsfAHNtmvQYnCoO8l+AQNKIEqXHC4YZejsFFK23ae1WrFYrGknMwo\nlCF4GeLywcX2FXoMRVYwKkeMRxPKciwQmLI82v8wf/g//HbefDPjr/Bv80u/699jPCm5eOPLnJ5f\ncHl2iWtqUXIUBdYW9H0jPkq+oyjG7B8f8PjRq9w5PMLajLbpIzcBeZZHIi1QrSuWiwU762qTM6pE\ngaSiMZuyGc7FFDOlMEZFW21ReSUveYKS8BjYFJ8tcnSjyknyPwmEl1oSQ7W1wmaef+XDr/P6l7+I\nblu+9JGP8md+5TNRDruBagZXxyCLlSEFmiciOFp2RwggEbCJA9j2dtlWH4XIOwQfea8sw/WSz7xY\ntAPRa4wWOHJQA6kYlB62MgY8eSYzIjbaNLve03U1dVHxxdc/wm/9s/8Dr4xKHj58yMmLM3m9yHHI\n0FXFzs6OwHE3knS3s7OD0ZomBs1I5oSRe2+5GHiQPgo8ikJsTLquo3eOyUiekb6rIEK+cicP/qAb\n4pukqGGophuVTeJ3NsCP66MSCBVnPIQ3EY+rCK8qyFS2uT7D/SETuWn+RWCcbZVQFEMMip3beH4I\n8XOod5PO/6DHe170J9MpfdNRNzVJxtT2op/WxrAzHlOWJcCQOARRA6sVofVUlQzzjMqS6VTsWifj\nEagQVT/dBtYI0iLtH+0K2eKT2ZljtVqTZ3kcWjIUeYk16QGLml6lMMGR21x2ECj6TtQFEg2opPjE\nyVdJ0XIoBUWeiZRTKazSVFpjvASj17WsRNPplHVbsVqvef78BUorilHJZDJiMp5xeHhEXVWsV3Pa\nzpEZjfdq8JQv8mFFGwhuTeDOnT0S9jxE4RE1v4GBnJMdv+w60gLpnaPv5CHruzYSxBYiZOGcSM3w\nGhVaMi2DVUVU3BR5jlGGejnjzTczXueTfIRP8PuXf54PhD/Pzc0CpS3FeEKvZeHOraFzHetVTdu1\nFOOcozt3uPfgPsd37lNkouzqu43WfZjbcIKnP3jltcEVcnsCUkHkQhRGe7o+ENzG8C4V3cEPB4bv\n3RTW29OzsCHUg/d0XrrK9DrBeT708C6/6Sd+nOlP/RQA+6+/zhu/9/fzl3/l0yRXzTzPI9nocX30\n5NHJayfJ+xIvE9BeDcOJ3nuOHz4G0kIPm8KPbM3DhkzW8Zm6ubnm5vqKvu85ONjn8PCQsiwFXtAa\n7/sBEjSxzZDznQ/Fse9cDPQRbmbe97z1oV/LR974Aj/36DGXF/JDCpEJAAAgAElEQVT6WS5QVOLr\n9g4PmFU119c33NzcsF6vyWw2LKxplmG1WjGfzwcn077rabqW6XjM7PA+VfS0ynd2B58uGSLXUcGW\nyHAEscEP3ZrejtdMpHYIm8cCgfHC9rlkQ+4O154wJI7dPmThHZRUQ5hS7JyCAtUPfEkq8jIYx7AY\nSCepN6vQ13m850X/0cNHdG1H27RU67W04QpsJhLEPM/Z2d0hs5b1uuL6+prO9QL7EGKxc+TjMbs7\nO0ymE8nSBFRQ4nq5qHFJx28zGZRyAZCJVxetVxfzJUVRirwyL7A2Q2s7WNRuFBFuKKzOScFfLde0\nVYtWIs80Wk5tZq2oOpzo6a21aEbiA9+1uEYKqjGecVny4MF9bGE5OT+j6mqqqhZv+j4wmexweHiX\n5WLBel3hgxiiaQwhdARMtOtJSpCINWs9tKtJ7jdQkCoJ26IHz9YOUSZqGZQcoe/F6yYErBHppzX9\ncBMbBcrHJysEcpsxHY9lR+g8qHMePOj50Wcf44/zb/HR71nz85/6LDeLJeVoQjma0LcdmdK4puHq\n8ox11WKzjP39Y155/CpHd4+YjKbSZbTtUHy3h2pk8ExmBHrXR5hDprq7vhOIQ8sUKEZ2ZG3TbO26\nbuv0k1fLdhv/8lRuOt8hEHd9/QBN9r1Mnd8dFYw/+cnh3i8+8xmO8ixyVhKqI4ODbOm89bBopY41\nuS0SUQYVf/VeLBokaUvkzKKz10MoTIgcRNs21L1jfnPDi+fPOXnxPBa597O/L0l02ujBKqR3PSjx\ngE/FSkWczHUdbQxOL/IS7wI3N3M++cEP8eG/87c5+t7fSlGUrOtangOlZXCqa8mzjFFZoBQsFjJt\nPRqNBvWcjx1Q27ZUlXQGZVnSNmI9XhYlRVGwXq6Eo4kwbN93GOVQw3BayoTY5srjbIOyw4od4g6e\nra+RC7H1X/yzD2GA/MSLKYhpIsmDZ+seSa+U8Lg0fZswe7Y+2JZP8wZGVIPD6//vJZuvvfY+2qbh\n/PycdVVF8kLFXU+GzeINprf8yls5FV3b0dZNJBjH7OzukufiAtlUNcYayrxg4edirqWNyL6U5vLs\nknJWRCJHWnrx5u/Rukdi4RTeSThIUvp4HwROSJieEzinrVqCRx7eXCZsvRNljO8dXSf5s8FZXNcR\nXA/e47oWpSWkZTyZMPWCaSqjqdqa2d4us+mOhEuMckbrNXk+wdoSk5XYvCB4h7EeozQ6aFzoh9Fv\naQkNV1dz7hzsyA0awzeUNUOQgx+KSBpcAe96ggoYaylymQ2oqhWLxQ02z9FZLoEQ3qGNxuiYDRsn\ne4s8Y29nB6MMbVXx0z/75/ij/9ozfvBjP8n8D/8ob8z/Em8/fUrTdtjZiPF4gkEROsfy5pregbY5\n+wd7vPbq+3ntldcYTUZ0fUvbtRE2Sb162MAxgNGak3fe5uj+Q/l50tMad2IK5PNqIzBPL7LUl0f1\njUlzCHrzZyX4+AATDIV/45ioNNEqIRGonk+fnHPye/4l7v9nHwPg/Pf8i/z8V94khPAux9hkhJbn\nkdxV8sCHkHTlaXFORUD4mNNn7/DotffH3bx0GVptuheUDOJ1Xcd6veTFi+e8/dabXF9cMN3bw3s/\nwCrSpfTD9G/itayJKyU9fetEk957rJWFq+88i8WCv/PoFX7gf/2fOfrHfjvT6YS6bXHeSQRndNF1\nriN5HXWd6O/v3LkzuGl6H4YOKA245dHvqm0atNG0yytUdBkNSpLqfN8T6HF5vGbaDAV0W/uS0C8V\nRQ5pIRg2TUFmTuSapsjQIPi+CsIjJa5HWdLkWvLOSu8WFAJHY4VbAfk+Jc9nbLTjrp74oUQ1lxKz\npH6prY7g6zve86K/PaWYgh+0VijfxxtDskRFZ56c5mXld3E3pYOKioYwTOm2kYgdUunZOCcKhio4\nPijR8GcFySJBoek7j+s7+l5GuVObGbynrbvhz0oJrp9nBUVeYqJhlY/C5EQAdm3L4uaGEInDtm1p\nm47Qe0aTEfv7+8xmM64WczKbsbe3x/Go5M6x6M1nkx2qthK3z1WN9xpjS1BiYWxzxagoRA3SNrQR\nbkoPrcQJxhZSJbfNaLmLuJT64MViIF4b7z1GQ2ZLjPGsm4rT02esqhXTsxOK8RRrSzyaPB9TFmNy\nU+Dznq6tGY8Kjo8O8S7Q1BUnz54y/oV/n5/71m/hjF9kvGv4yEde58tvPeHyesH1zZyyKLEomt4R\njOHgzhHf9E2v8YEPfCtHR/v0ruXmpiO4IIle0aL6tlopmsZ1cp2EE5LZjO2FQevE7/hI3PpInm68\n1KVYmijiCIMqI6lmXtbYp11lmrBNxTLPc67rhp949Brf+1//KVzT8HPLil/9wpcG074EBSV8vygk\nra1uEhEddUHacHtyE/nsoUtikwHKSH7yIaaAEQLWWHZ3d5mOxlxeXIJzGODg4ICjoyOBT3rZ2ad7\nPM9ysjyXgptnBK1wzqIixKkKgTODV6zXNVnmqA8PefObP8D3nD3j43sylCf5vKKya5uK9WoF3pNn\n2XDOUkBSVYl9yWg0Yjqdbhb0uPhUdS0T5Nagg6KPi2VZlmhj6JqepvGgLBkaHwn8wGanvYHoInwy\nGJ5FYzQ2G4a0IG97KanhHG0stgfeZyvrNtW45AG0fa8aLZki8uek0FFDaMum6ItNhvPvHur7Bzne\n86L/pTfeoOt6VssVWluKUkiigPjm932Lcz7KnvxwYpVSjEcjJpMxdbOWRKrVmjIvKIsCazSr5YJq\ntca7EFtePdz80/1ZVAdZMptTFCXG2EGxkybqXB+9YyLmK7ioxjk2bp/GChegjZBHUQVgM1nBfd9R\nrZY01RrXiYZaG4NBYQsbp2zla/v4XkYbiqzE6oyqanjrrScslguev3jG85NzlssFTeco8wytJbih\nHXkKK62iMoasUBhncK5j92BK7+JwlgGF3YJ6os6ctOPZ7HqMAWNCbH176qoTT6HrC7TJMbagGE0o\nR1Mp+nbEeDTDeygLw+TeHVznuXj2HLue80+cPuNP/uDv4td+6Fu5+8qr/NrTS/7GL/4if/3n/xbP\nn5/SuY7ZaELvO7TV7B7scv/BPe7cOST4npura87Pz6jbmjzmFdgsQ2kpwlorsdtA8+DRK5sFrO8F\nMgmi0DFaSPDQS8CK6KKl3d4elEkeNALzhgHnl+KrXnqA9WY3FjZ5tsYISde2LR//0lf4+a6j7zus\nzdjf3xsKz/bikRYOKRLtUPQ3E6DI5xpgJfm8Rw9eoU/37uDoaAaOxjuHGRkePnzIdDImL3KauuKd\nt9/m+PiIO3fuDOlgsvgorM1l6ttYdMxIMMaSZQVlXg58Ut/5gdvSKIw2XP3mH+C7P/4JTn7PH+Xv\n/OqP89d+4WcFNlSK9XrNcrmiHI2ZTacsFgtwnsxIOFHTNGQ+YzqdYrSma0UYkSxRlsulWJgfP6Q5\nOZF71HuxbylL+n454PN/r2PY4SeRPFFBE3ffqegnvkZ4rlSHNjkF27zSAAHKXRI7mSSZEpI4ZQ0P\n1h1JlaXTe6ktIjj9KhuTb1TA854X/bffflvw2a4XlzwlUiUfOtLot9gOBPq+oWmaYWp3PBmT5ZZx\nX8bdrKfvJFZPJw1zcrEbzlQyLtKDkkAm/USt00XNeddK0LZ4+Ae8Hy4/SlmMFv26eF2paL/qxbQs\neLFE0DqayC2FU9AWhRpC0YssxyoTB8bEJE4sJUTRtFouabsOr+FmPqfrWharJReXN8xvbri+XjAe\nRVvazFJmBqsC4zJnPC6FQLXR6c87gnLDLtD528WeCKERcXnv5Ya01qCN2AsXhcUGmRdp+45VVdHH\nNKw8H2FNgTEFo3KC1QX7ewfs7e7jAqxWN3z/6VM+vbdPdbjH3u6Eb3rfQ44fHHG1vOFXv/B5zi7P\nsZmhHBUsFzIUVBQ5o/EIrRWX5xe88+Rtnj17iguOvYMDGRYrCgmNCf2Gg4gtu4lj9p33skgb8eff\nhI3LztpEKevGbGwL24+7+iTj3ejpb7stih9URgg+BtO7obusKrESWUWLgb29PSlmxgwdyfYCkuwS\nJOzl3YqNTZex8bcXKCraX8T73mRSoFOH08cuYjab8fDBffqu4/TkhLZtmc1mWxnALipUwtCB+Hge\nLIEiel8Z5B7vgsIYR54H4bFC4OHRa/yPv/QR/sgv/zf86C9/iN//r/8BvuV9X+ILX/kKWkFdr6nr\nNdPZlOl0yng0wnsv+RFqY2ynkHyNvpcZkrIsBzi2bkXYobXg/45AUcpkb1sZlHYb7bva2CjLESJH\nF83r2Jgi3A43T3VjU0NSsJNSashI3ly3TdepdCJxYwcx/D8msQ0ke5zDSvBQXLSNTvA2bLz4vzEF\nz3te9G9uriMWnmPj8JVoXS3EFVWUDULOGiNE6XQ6YWc2IysymrpmvZbCmrx7tBZ5Xt91+LizVuiB\nYJ1fXjLeGQMqyjPFoCl48C5KSV06ybGoB9nx+U6yOa0Rf4w0Lt22HXgZqJBFRyZ7QxC1gtFWfMBj\nytJ29mZVVdStjJd7L91FtV5RNw3Lqma1XoksLnjW65r1uoZlT1UUMmSVZ2RGYekZFRk7OzMhtscl\nxuacnV6xuzeGuLN3Xj6bCnqT2MWGlLLWoONAT9NKGpFSkFmNDyri34JB+r6h9Z5ONRAMq8UNVhXk\nRjMZlfRtz2pxze++POXPfdsHaZsldb1iMs7JxjkPHh7x8PE9VvWKyWjG3mwHazw3mSHPDYv5NW91\nNSfP3+HJk7c4PT3B5jk2yzi+e0yWZUMalVwveTBOnr7Dg1deZWPfsfG4T/fZYNq31Yqne25IVAob\n8ux2nuptLxVRfenYmbYi8SUMAoSrqytWqxU7OzNms9mweGwboN02ZJMYUTHpSnr7JBXl1s8RgkAH\nL568xdGDR1vEn9z3WkW5pJFCKpbgE7TWHB8fsV6thh1++pm8F4uOtBt2vUCAie7v+55MZ4QoeyXI\ne5SjEa7v2Rs/4k/9H9/Cj3Cfj/J3+Yt/4aP80//cd/LFr34l2m072q6BuLFL8mCBUQNEGeR2EU3n\nWhws5ZlbXbxA6xLX97RdR5FlsQM3aO0xWs6fVgLxuOiPP+zI0y5czq68T7zmEWrf6rAimR03SEQ8\nP5HqMnW9SeISODWph8IWLCzjcS4KSgIbPmibV+idRweFjs9c8BvV0dd7vOdFXykl8X1EHx0lgcZl\nYcQGuPeDrXJZFuzu7jAajchz8W3XWtOEGu88+EDXtjQxvKBruzie7dFRhikuiGm1T/71FmuyGLO3\nwUOd8xEjVYPKp+8cXSNWrzamM+nIwjjXE1wvrqGRxCnLEqssXSc5utbaqA7KY+6vpwtdDBoJrCqx\nKEgw03pdsVgsMVYWJms0yljpDtYrCVGvBY6yRpFpT9t2+KBQOvqMl1a06dZGMlq0wnmRS9h510su\nrAj2ZXE0Gu+b2IFEaMEYlJcb3hjNeCRDWX2PtKfK4p2iqhpQHudquq6iWtd88/kLpiHwmYd3ube8\n4eTsBcv1it5YijLn0eP72MyyM91hUo6wynOaGbr1imdP36ar11xenHF1ccG6WjHb3UNrzXg8Js/z\nGMaTNO5s8nUHNU8u8sytXXWWiTzSmJy6bWJB2ey+NgV4s5NPh4/JUttSzrSblh11H0lmTcpQTpuR\n5XLJer1mOp1SFMXAH7wM8yQiUxtxvtuWbIaQBnnSZwqDGmRbdipwg3wOmxQ5fc877zxhfn0lz4Y2\nHB8fD9xVgk8351OJKivu9Lu+l1AcH7BRGKEAq8Xw0BpLta54dvIVPvz6R/mrn/p+vp+/yq9+9Ft4\nfvEWeZZRtx1d39M2raiwnHTIIg1uhsLv4myNtRYTn4m23Uwvi8DCQzQ2a5qGLHZt6fqnoq1MKtSx\neIbofxR37CpV7nRGw7YxmpCxaPFTUkrhfJQqby3WMlkrNSzJXJVWQ1CP88lPaXNt5DMm0QUbwj3V\nqqj2AYZp7G/keM+L/mw2Y75Y0DuH0pos6pSVVhglF7VpWpTSTKc5Ozs7jGMAdhPd9hJZZ6JaYr1e\n411P1zUoIDMphnGzU9s/2hdsXclQjdgu9AOWKbmkHa5PhI0sGNYquqbDe+iDJNx7I4M9SilMJgqj\nMk4OG2NQIYVTi1VsUZQxIUwRellEqqrmerFiuVrhvCIrCnZ399jfv0PvPeV4TFGOMHEaebVecnF5\nycXFBVdXVywXc9p1RVla7KQkKE1VN9GmOmP/zr7413QNTeMjTihF3liBcoy1+BBo2562FwKYEMiy\nCIUkGEEpMongwrlANi5EuRCMaItRjMopO7tTtAlU9Yrf/ewpP/3+VyknJW1f8+zkGZ974wtks13q\npmZvZweFZlSUhN4xHuUQepbLG5r1iq6pWM5vcKFnPB1z5/iQo+M7ko0bp1jT4WIBvvvwEcmwLG7X\nhx18ALo+bQp6TLYxpttu1eXXiMUqNThFJvMzuF1kN1ALXF5eMp1OefT4Ibu7ezR1y1e+8hU+/elP\nc319zWw2G1QpcHs3ua0Bl79j69++VnSeLAj3Hr1667Pf/r18X9vUnJ2dcX15OexmtdLDoFMin8WE\nL31/lMSmHTIBHDReVGvWGHQphOr8Zs5bb7/Fxz/+cX7vvzBl8k2v88O/8qf577/zVX7iJz/LqMzj\n8+Vp6opqvULcWXuCdzR1HT+TGorkaDSi7drhvIs9scyQTA7uspjPccFHBZ4iL3J8CHRtgzUKa3ux\nVkAPdjabRfzdKPkA6Wz/nd5cn5fP7fb53mQSv2ykt4nR1GrzNSL6iE5Ot0QBalgcNq+Veo+v/3jP\ni35RZNja0DQt2ikyMkymyXJD08TCo4Jg1hHGSFh528gUq0jeNuRc33e0TU3fNngCJk83sx+IuJRe\no2MxT4ekcfU0dRtD2OVBTwNbWgXyPMiUYhrLjhidtkYiB8uCclSSR9tm74Lszm2G0hYfZKSlyEq8\n6fEKjHfkbcGYQJ6P2dnbY2//gPFkhjJGwknyXNKKlEwE1lXN6ekpX/7qV/jSl97gxbN3CGjquiP4\nNVXdkBnDeFQymUwYlRnaB5R2MR8Xeh/wAQwKgvide+/oHQQM1pbYzIqqpW3iDjMjywqU0ZFgd/Te\nC2GoRNo5nowYj0d0nSNcXfF9F1f8u9//fYynYxrX8YUvf5HLakUx3cXkIxbLiq53rI2lqxquz8+5\nODvl8uwU1zYYLTm3xsBsZ8qdoyMO7hxii5zeiwUDKRM39iZhaxeeFjltxf9fIS180qDbIovGaLcl\nmxBLQtw1Jzgmaea3w9FBRZjJRUiv4ujokPe97zXe//7345xnOhvzmV/9FKv1gqapcW46dAfAS8UC\nIBBcz2Y+dPP38rE2BWiAo9juUraLCFFgYOm6lq6tMVqLxDjaKCQFnTFGyNOYSe3VxqDMh0BQYKKJ\nmI7EuPewmC85PTnj5NkLzs5O+MN/7A/w+GCff/7tz/MzPz2R6FAUStXSNbQSelOUY6bjKTfNDXVd\nyybOWtq6ou97RqORbA7bTshoY4QD2+pMvPe0fQdaiautVvSuF8lscrwJPi7iaoD3XNxpb5/PzWmV\nYTLYFP1N0d0u+Nve95vzKJ2mZObeEgjw7iGur6W/F6XW5n5MwSzfyPGeF315cGLItBaLAB8cXe/F\nArfvKcuSnZ1dppMpIUjYSGqR8iynaaoYhizDUAZQkVF3wZObtIvdsOyLqwXHD45RShO8FPuiKMTu\nIdSDS6G1OSn0Op348WSCVoG+78SwTW3Y/xAfDrQCo+hbUY1kRnYYbdfDqpIbZBLhIWOZTKeMJjso\nrRmNpjFLdEaWl/EsKfJC7KGViX77Co6ORHFxfHTEm29+hZMXzzk7ecH8eom1mtFkhNaWZ++coh8Z\nQnACfcQCUbftoCbKsgKlNO2WyieE2FKGgPNBQt29QZYJg4mDTX3nUFrgA+ckAcz7wHpV8X0npzz/\n0D/CB7/7PyIvn/ALf/cnuLi64un5BSofs7O3jzE5wUsXNb+65uLFCafPn9PVNaMyZ1wWYtnsFePx\niJ2dGePReDDGa7tNlCZI0Tt5+oS7Dx9vEaQCo9gt10pjPNbqTcpRuF3wAWmt419tE64vQyDOyYPu\nQwr8Ljk6OuL4+IiDgwOc8xwfHw87zGQDkAjibfkybGClmNAq90xQQJJvbgtThGM5e/YO9x6/uvUa\nm+IirquKzGZoLVdQ4C0j0GgnHexG0w9JqpqqoCJKCK2hzEpyW6KVpWs75vNrnj17yovnz6nrWrT+\nesQSxefHU75jveCXju/TDTMRPU1b03Ud01nG7s4Oq8WKrm2ZzmbkSaGzrhjfGUMIwyYjSSNd37O6\nPEGPdgBwvUwR53mOyWw0KYv+QfGaD7i4MtGFNhZ1Xi74G1w/ncuXC/PLO/mXO6yXd/vDv28tNLdu\nta17OP26fb/9Q1H0o08mqciIjaujalratsEay2g8ZjqbUhYFfScyzuBll5XllqaRNJ4u2uES90Va\nKQIxPzQzQ0hHIl9lh5A8QzqSplkl58FovZB+TaqfshyjkO/p+kYkf0pIp971NJ0iayVrtmml/TVa\nFp3Oefq+waMxNifLJYKxLEaU5YS8LCmKEVleCLkcNf9uS0LYVmtuFgtC8IzGY46Oj9jb2+WVx4/5\n7Gc/y68iBa9pW7R1FLnDd47Ly5uIY3akWb86zhygZVpZdus6TmQGgupxvhOPlcxQlDmSDNVibHTu\n9GlXKZJYrS1GW5q6Z7Vc8zsuAv/OV/9NfvxHXucjv/4D/PCPaH7mb/0vNPMlRjlcL5BRV3dcnJ3z\n7O0nrOdLmnVNbgzjYkRZZlT1Gq0Vk+mM6WyGzTParqNummH3p+LcgdJ6wFJRidyNcjli66ziKLyJ\nyWGRzL61y49ELrFrSEoNPUxhGl5u98XjKDCZjNnf32M0KhH5sRiwee+3tPnxKQi3k7TSmP528Y3L\nRHqjze+lb4m78O1dbeQFkhw3WfqGEPklSYQjQNe3sUu5/TNpozGBje12EP8dm0eZMzld07NYLHnx\n4gVPnz5lMb+BICoakbU6PrWzw0dWSz5TFDRtOxTWpmmo6opd54YAlLZpMbuiDnJO4B6rxS/JxwKa\nII/eO3IlkuWBfNcqZgVvgm3SeRx4EZKxQhAcfRvIuYWgbBVxYpewpeQJg8pHbb55i+BVIQ5VGRvv\nmzS/AWnxHqAktbFaTi8n6Vop01pyI77R470v+sHRNrKzzlQuKzJegjJyy2g0YTQuh7YXFWSiMD5Y\nw0rqHK7rxKJYpRFpeaBtcsjUIWr2FQfH+8hAi0AlzjmWy/Vg7LZR18gQR5Zlg72zWDx7bNdiOyHq\nAo628XH372jaFuc9ddNgtQWl41RgMngLuKDIlEZbS1bmjCZj8rLEmFwWo5CIZJmKDSGwXCw4OT3h\nq2++SVVV3L13l8evPOb4+Jjp9H0Yk4kiwMP52SneS9eUjQqu5wtc30X5qOD44kApMwhKdxA0ylrK\nEozVdK6jqtd41zEaF4w6aGqP1jXaSLspZKQMyBlrsKZA65z1uuFe69h78w3+9+6fAuATv1LimleZ\n7O4TshFZNmYy2cU7WN9UzC9uuDi5QDtPHq22c5sTnJB648mIvf19Zru7aGNwTTvwNFIX4wOl4Pjh\nY5Fhqs1QVnACT2yKqmjopaPZeOvAZqeVPFWSHC9p6FOI/WZnpgdyN0GIkgMhBKOQ8nOapuHw8FCg\nSrPBbW8faiB2b+s1EvGXfp9+cilmxw8fkXzcE0G4eU6QkPcYyydGffLtqYPZDgqXhlWDkW6DGCJE\nhLKCh/lywdXFNWenpzx/8Yz5/BoVpHtSURLbu5ZP7ezyz95cRzJ7s4FyfU9d1bRty2gkz5xkaPiY\n8yzzDUaLRLLdUmklMnXn+CFdJHe3F3wp3psFFbVtYrY5n7dR8iTySOd085U+6vml69+6ZkPh3+Je\ntEIH4czEGsLGBcmI6d9W8d7e3afX27rCGyI6TuO+m8/5Bzve86LfdeKpIfCCIc/FJz7PLXt7u4xG\nE0DCkbu2G4qx914mTr0boJ60E0sruihWYsRciDKpOFCTCB+tRb/tnOfy8lLULpl4oIgDo3QUo9Fo\nCEivmxalQnQq1ISQ44NDG0XXVJKqFDx1XdP1DpOLiZvol8UfR3ZZBXmRkZcWk+foaCLnkahEHXff\n1lqK0Zj1as3pyQmf+9zn+OxnP8tqveLe/XvcXF/x+JVXOTi8w+Gdu3zLB76NtnMENFeXZ3incA76\ntqNra5zvyW1GliUFkyXEwTVRLAVcBsoYvM/oOyMKKh3wrkOpVvILlGiyp7MZoOh6T56POD6eYW3J\ner3k133qM3z+Q7+N5lcEpsrzwHjakhcTdvMJIHYXy5sFZyfnXJxe0lUtI5szyjMyY8Ruoxdl1Wx3\nl6OjI2azGUFvzNB0etCHHbEQuiIKiORtkN3wRgIonI6xCqsliMf57cneNJ3JoNNPuH6C/G5J+XTC\n5PUWBr9p85um4fLykqapB523fO7br/Pyf/iN7cJ24PrXJnsDqXBtF5PN10uEpvdRydRF62ESIf3S\n1HKUtPo+YtQoybn1NU3V8OLpGc/eec7Z6Tmr1VxyqccFCulo+6hc+uz+AR/86pcxWkH0t7HGiEKn\nawevIq00VVPH4J6oZoJhqrmP8wLpB/beR+sFIZ63Za94maBPsk+03nTzXwM/375eW6nl6cwPi+n2\nEnG7YG8Wy/R929DQy9/zMoy0fZ1S0U+pW+naCIzY/z0/+/+X4z0v+svlgq5r2d85YG9vl6Is6LqW\nssii8VMhgy31CtcJ7m6UrJp91+F6CcCweR53D7d3Zn3v6KsK4ywmE8sC13uuTq84vHcnYoMRW487\nOJvZqN0PaB0GXb205JbVeoWyRuRbKuqBlSR2tZmQvX3TUnXx4c6zwasmeOEtbCbkWZbnmCzesFuw\nUvJ7GfDirufs9JQ33vgSX/ziFzk9PSGEwImGtm148s5Tdin9DbAAACAASURBVPcO+LYPfhitDXu7\nB+ztHVCvVoTQU68qslzMuDKb8gGyYdcmyhsg9Hg0igyFENhFqTGuQykvsYJO7CmU9nQm0HUL2raj\naTvGkx0e3H8f0+ke63XPP/7kCT/zz3w//8nveM4bXxzzm3/LOZ948y/TdB7v4fz8lJurBdfnV1yf\nXVHNl2Qqk2lka/BdT9vXuNAz29nl7r377O7vo62lil4ug6+JSi6aYs3x/O03efS+b5JGXsUdIBsN\n+kDweo1DSNztXf7XKgzJ6hu2PHLUJthctNU9fd/ItHDEzNO/z+dzvHcYI8UjFeJbRZ7bWK4fDPI2\nhV+O20Vfa8PJO0+49/gV0tSoMcmrRzpMhUySeq8ITgqiigu/TP+mXX9AabkLVOyUnE9GfFDXLevF\nmufPn3F6es56uRJIJ8slbMSJhDbLZFCwvXdMMJqHbcOJT6EsgRCBRmMMoyInM4ZF76IEV2wvfNhY\nWazW6whHCnQXnGdx/pzpwd1hAZVzzaC/D2xI7u3AlCSD3FqeNwV7e0GNnZXSCRRNC2tKMHt55y1E\nsVia3A5G39xbSXJ7u6MkLRpRoZX4ps1Mz2ZB/nqP97zo101NVliOj4+4d/8eoFgubmjqjfY5xDaz\nDz1N05DbGGYdV/JEgFlryKKaonc91bqiqSt6PLbIKUcl1iLDJM5F8sygjSLLLfcf3IutoAxm9Z0D\nLex919fMF9I9VFUtboaIaVdShVijCZmQm3g/qBqy3Ar+Ha0CfPD0vqcPPZ3XKAfWy5CI1uL41/U9\nbd3RNtf0rme1qnjrrbf56le/ynK5ZDbboShyvPfM53PmiyVn55dcXM65f/8BfdsRApg8w7tAXfc4\nHGWRU+TZ4CsvOmFIraxAaAhpFqeSjbaYTGAsJ10yeZ5holTVe0/b1tRVS144dnZ2ONjfZ/edd9jr\nO/63+RNe7/80r377jF/44imruiUERd10vPXWM85OzmlWNTooyvGE0hhGuUUrT1O3OASeOr53xOGd\nI5SxVHVF1bRRzvu1d8kv+5xsS+nSw6OVjtm7bmjlh85BxQlXHSDITjHlzG77/aSCDuJh1DQ1TbNm\nd3eXyWRKnpdALKhdIM9GwteEzUMsOm3FRo+/IWBNZqO0eINnp8+5fQgJe/tc3IJrIIaMuzgMlUO0\n2NgkPyXViUcFIxy2fCys1lF/LtDQYrXEhcB4OqEoC5lT8T2r9Rofuv+HuneL1WzL6vt+c851+y77\nXlW77ud0c/pyGtzNpU0aOhAHJCJBR5Eb/ODENhDkByeRE8uOHSkWSYwjWYqNghQkniKZByvIJs4L\nDnGE2sKiAxgwYHDfTvc5da9dtWvv/d3Xbc6ZhzHnWuvbVX1oumUfeUnn7Nrf/i7rm5cxx/iP//gP\n0lQam+/u7XLz5m3u37nLty7m/I7SNE1L3bR4JcVskidISXJJVNrWBgOeogkslsDaE0cvfK8uYTOY\ne+PxsRK385I1BAkJhRh9Ty+1rXp7H7z1LosdFoU4E32bw/5wjlEj9NG5zEfM0UDUSpJEbIzYwmaK\nhz4ROhomfhn829O2ddCR+vqv99zo70yn7B3s8/73v5/DoK7nfct6tWSxWJKmGc4R+PoVeEh3corR\niCzN2OiNZPS9J1EGHfBwWrBO430CroVW0ZYOq0XV78q1KyLKJCI6QktMpfDCoNDWQgO00nSipaGp\nalzr8a2HTAqlnIem8rhWmriMigkKz0ZLU/a6akA7skIMQ1NVOK8wI0PlaozVTPMp+wcHJEnKYrHi\n+bNT5vMFs4s552cXOC9UuLIsqZtGahnShCKXzl91U1PVUrTyLBQ9GaVo2xqTJtKdjAm2rbF4Yed4\nD0nk2tugJ68xqUahca7BD4q18KFEPSTHIyarUaBFyTFJDONRzs60wLuSb//yF/iN2zc5OBrT2jXP\nn5d4p8jTEZuy4eLigqr26KzAtAIbOAWVa0kUNNUao2HncJe9g12Orh1xcHRAXuSs1mvWqxWxuC4W\nnRHuWCnF8a3b1JUU7plE2EmiHSMbzIV+A8YYNJJjIcgPq/DdHbEyPpbDm5DMlX8rorcvaycxUqld\nB5qtxyAtCg117ZnP14zGu2TZWCA3WxJbdgoMGGQUWulxLLIOQ8+zN+bxioe2Ur5j7lw+EPoDICSb\nveplgYOHK0lNj0kl6hTFzQ3FeMzVq1eEUZPnlGXFvYcPePT4Cc7A7pV90iRlvV7x7OkTrLfSzH5S\nsLu3z927dzg+vsHJ+9/ggycn6MPrWIusL6VpLbTWo40hG6V4ZbHeUqQj8mzMYrXCWSW5MS+sOYWn\nyAvm5ZKd63c7o966hsZV6NRhMg3a0HporSNNYjMTkWS3znfJfBlH3x8CcXzD2HucOGSD5HlMp6g4\ndiBwFRF+6XV2InylkGS76xQ9+0NDbaeTu7lt6xar23AvIdfxDVzvudGfTCccHh6wv7/Lzs6YuklZ\nLsc8B6qqDr1XQ7NpKf3sQjUdJFOdF7jBGIdW4pU1jcVaL0VDKLA6qPBZkjxlNDbosEha2+I1lHWJ\nMlGTBzBh0qxo+NhQJWjQQU44bJhAAUtNRp4lQf0TskzEt4pRjkOSupu6FnZOYbDYIF0ssMtyueIr\nX3mbB/cfMp+LZv7sYkHdNKwXa7KiYDqdBtjABN5w8CyU6pp+zxcXot1vTGiXl2BcEhwTR+ud8PQR\nR0P8TBcgqhSNFkVOwU0kKgDwQXs/VGB2FLdgiNIkYTKWaGq1uuBjX/4y/+Bjb7K7OyJNPJtlSV1D\n4zTLVclyuWE0mZKNJjRVTbVZ05RrmqpmUdc05ZL93QkH1w64efM6u/u7FONRwOslkW9MzNNsY/He\nCw5P8LTwCL7btakLIbIJjAkNTsVtF/8LGuwheamCdyj5TNH1QWlcqBgXaFGFIr6UNMu7fIm1sFk3\nXMxWGJNhTB6SejYYDI/HCq3YC/VXa4Ea29YGbfahSbiEAfs+53CZTRSjA617wUEIZIf43cJXVlph\n0CRJiJY3JUqPOTo64MatW4zHE+bLBYv1kiRPMY0lHRUUeYHTHp0nmMywMx6xO52wt7/LweERRTHi\nxe3X+BOf/zzmyh25DyT/UbeWqm5onRX2Hi3WObRJSdMRuBK8VM2bkHtxzgYYyQOyfzyi/9+0JShL\n0FiU/s/OkwZWTazX8d6DCW0xPdGtDuMRi6Li45cYOmE/xN9VN9aCImxFY4P1FuE/7+VQ7/p6+dAI\n07P1WpF/CXCSCj2N3yUf8bVc77nRF6lax2azJs0z4YGngqEPsauon+LDaVdVFc72ssfWSiWpa33w\nBqSARssqwrYO61op1gDOTs44unWVKFAVud62Cgp6pm+bFyml0cDoVg2MoGyUWBzmXeQSS9HIZDJi\nNJkyn69YzFdonbK3f4DWkhy13rNYrpjNFpycPOPtr7yDc56iGDOd7rG7d8j9e/cEEmoanBevNUnT\nUNwjiWttFKkW3XUXDJ1AT7I263JDmheIp6g7YamXincC7dV1i02Qjc6QeB96rPYLU7jpFpOILpL3\nDvfwITcvZnzuxlX2C2E71VVFWTo2lWOxLrvaCO9hPBpTFxnLmWfja8rVijTR7B7scHzjGtdv3iDL\nU1rbdgyO0Shqvg+46IOk2tMH97hx93XB9INHFXne0UDGZKqOG/7y5aNBjC0MIdL9oiHVSTg4iHRN\nF6qEU7I8x+iEtnWs1xuWi5UEWUlKlmY4FLoF6d9sw6EkB44c6r1m/mUOePzZYf/OcfLoATfuvPZS\nEjdevfEXKQKnENXRcPjJerCB6ip5K6VgMh1z7eoVdvcPmCwWnJ1fcPvWbe4/fkrVOKn38JZ8NKJI\nEg73dtndmYQOdoqyrHh85Rr/0elzzJuhQr6VVptNLVF8VdUB53eBoAFKJWgtzYyEBSMwl0R1YowX\nzx6yd/218F1dN5axVWLMmEZRxH6961BsN+TTx6cHt2ZgX3t79DJfP45tnIe+YG/7cqGhkg+pfq8k\nNyCHw/DwCJ/TzV1YnxpiMvrrvd5zo58Y0aU5Pz+nrCuyPBf9jFDuHhucKBRtLvRChaGqqk55L5Zm\n29BFy9uYkAsYmle0tg68+haVGhJt+qSNc9ShMYq3LrShA7R0XwpRv/TBRcuCbIUKqZ0kcIVdFheT\nQSlJBI9GE4zJmM9OWK3WHB1e42D/COc1i8WcprE8O3nOw4ePeHD/IUVR8L3f+x/wHd/xca5cucqL\n03N+6Zd+id/93d+nLEtpxGwMSZaxqTa0zknjbS1YZZ5LhSHedqFlLOwZ+iUR+428Z6BjwCgfvRzx\njLfhhOBxDgy/4KyWfDJid3cXpRRv/MHn+Y0rBzRK+s7WTY0xmoP9HUaNR6drLAtOz+as1yUH+/uM\nRwW0Y2y1wqcpN68d8YFveh+vvXaHnZ0dlpsVZ+fnKBV6IATdd++bnm3SheWyiSL2G3VsIp7ftUIM\n3z03kc8tIwQDL/oSY0NyAWEsY4JYAS6wRLwny4PyaZ4HFdWa9WbDer3uVGKzPKNpHCRBJ91Gtca+\n9L5tvzpbZ+set3Dgnsfee6z9v6OE+OAo6AqYhNcvxknqCmQPFXnO7t4e169f58q1qxiTYNKC9rO/\nwVfuPZC+1lUJXvSm9vb2ONjfJdGKalNKT4zdPaabNXtIEWXTCHPOh3HzzoXaBU3buo5OHKtbJfiK\n0uv0sEz3NWICPD44NI5Cv+7gGh/lq1OsrQd7V116XXxM8nzDg3R4sF5+PD72KkKAc77L4fhubw1y\nBIM+DYL1h3/reCj9O270Y8eb+XzOcr0izbJuo8akyGg0Ik0k+VjXDev1mtVyI01VIs2Qvv+k6zw5\nPdgoQT/HKBKTsn+wLxlyK3Q0YQwV8prgBcrh0YrCXcDuALI0oQ4GUbxMaZpsjKFQRQjvE6qqZrVc\nYf2G+XxBkuTs7x+yt3fIvfsPefz4qTSBLkuenjxhs97w0Y9+jO/93j/F93zyu7l5/ZjZfM5oVPD8\n+Qvu3bsnvOc2NleImuuy+Ju2pSgyWfAOfOh1650nG4+wQWdGaxWYTGrLu+0gggjbDGxdTEiF38Jj\nNlQZ1zgvOuZXr15hPB7zJ+8/4p8cH+K8RFmL5YLETHjzzQ9x9fgWVhmePHvB//3Lv8JbX/4y6/US\n5XPp1uUshwf7fOTNN3nf63dIU8OL56c8fPyQF+cXHF054ujK1UGhy7Yx9F62z427r22pYmrdU/qG\n3r61Fj8w+jEqiAeJ692/7gBBgby1QEJRTTW+b6r7jWmtpSxL1mtp6be7t8NkMgFa6QCmgyyyio6D\nZE+dE5rn5WTsZUMS/22M2fLyLz9H5rDfW66LbnxwmgKM4CUhmWYZhLF68eKM09NTDo+OODg64n3v\nex+tVzw5ecFqVfPs5Bm2qjFI1KQ8uNayamqWi0XX5/rJ4REf2Cz5gzyjblqBdJQKrUQlUpQo39LU\nNXUtsihluaH1UaHSh+8rCdqdq7c7ume0AyI+F9k2fUJ7qJ46FKUbRohxvb/qGhr14XwM/x1rNy6P\nf5dcNzrkiS59lu+2VvcarWLEEb+JCt/z67/ec6PfTRAIB7eqekwdCddiQ4+4Ka21lNVG2hFqESBT\nIr7QGSbZ7LEbTRKqMw1ZbLnonCj82YamammbFp8I7xwl8FBVVhCkGBIdNG+UVBrKRMl9SsWsJFJ1\ngIWchbqyzMs1VePYrCsODnZIkpz1uuLpk2c8OzkNXk6LbT1Xrx3ziU98gm/+5o9w5eo1MClNCzs7\n0uy5+6zgqXaQxtb3dqENm+qw9uF/PoxpJ0Q22AjxvaMXHznS0Nm8rXkBaSTTNA1aa/b29rh27Rp7\nWcbHzs75Wx97k91M4JvlfAWq5mB/lw9/6AOMp7s8fHLCZz7zqyjvcE0DeUqiFco7ijxjOhnj2pan\nz0/4yle+woPHj9iUFVoZdnf3yfOig/16/DVi1r57TLy6nl8fo0Ib5Cai4Q9gSmf04zYben79Zg69\nCJySlnq6j348kRZqAyd/zXw+k8R1VZEkByglSqBN3ZCkOlA4+4IxL2+ytU9e3jfbkxKjnMuY/va/\nndA1fR+/WOfwdWy4Is+Xnr0ZmXdsNhUPHz6iGE84PLrKlavXuLI3pb59mzc/9GFsAwe7+1ycnzE7\nf0FTltILYrNivVpxMTvn4OCA46tXqb/pY/zQ1e/i9g99gp/7Bz/Fw6fPxDlxtquyV9pgvQgOE9Zg\n3Ta4LmkusI4O/TC8IzQ9U+A8vvPIVYfF9wV1emtMtvMgr8iFxPlX2x785bkYro/hId2zutxLfyfA\nhX1OAbZYSIoBayvawG2pjq/nes+NftO2Ak8oSYRFT9OoaFBl49i2FRZNkFeNSV0TOhWZ4F2r4JVv\nGUWlUMagPaGAQ3P67JTp/rSDanzrcbVFmxSthOrXlBVt3Up1apaHxHGPoaZBUVMSzQ3eW4GSWvFO\nNpuK+WxB1TjaFpxTrJYlVfmUZ89O2WwqtPbSON31XOT5fM6XvvQWi8WS+/cf8cUvfpHVatUZuCge\nF+EKoYLJZqkbG2Aauu+utaZdVaR5jsjKDopvwuJTwUOyNlDdOo+wy20h4Q7BWAThrRDx5EXG8bVj\nPvGtP8yNP/gDnh7fhP19RuMJRks5fd205FnK4f4O+/v71HVJlhp2pxOmOztcOTigqdasLk7xrWV2\ndsZqfsHJ0yfcu3ePi/kcZRJheDm/xWLQWodmN/1GO3n4gOPbd7tgphckG25egbps3YgxCeydKKgW\nayfiqReNR6xqpcNfY41FkP0wkpdqrTS+X61WzGYzbJCLkGbpEZZ0YYyDAxS8fYkYXzYgQ09ziOlr\nrXn68D7Xb9/t/h6vbQrgtjyvs5FNEu8h9LDINePRiKZxnJ9f8JUvv814skNeFFw5OEApw97OHjeO\nr5PphPnuLo9Tw9NHj1jMFjT1hs1qyWq1ZFQUfNe3/ml+8ecPSP6/C/7nX/p+/oe/Pea/+zs/im+b\n0OKzRCViCLUXNk+qJJkdo63OKR5AWPNnDzi88XpXiOXayOLqkPlu7uL8SbHddi6odxJ6mKxzerzq\ncixfyzWcl3h1hwZ0kQgxugsHTG/wo00MiWDko+PfvpHrvTf6TY0x0ghdaS1en7V9U2nnOgMfW9bF\natruBNeGLJOw0NteP0UE01JMkkHrcDTExGNVVuhl33TdoHCtQ1lR0NRO4RtHs6lJMJBkpFmCCnrk\nbSu6+SKTLJ5/VZVUTS16IpuKzbqkLGsaC4nJsK3n/HxG01jW6xJjUsajHO+licp6U/KH//pfczFb\ngFe8eHHG0ycnXFzMWC6X0m2rKDBJIlo8ShaPVAanGA9lvSHa53jp0ESiaxhiRbYiXp1XHz3LANvH\nv3VvpsI6jQ8Fo6O1YjKZ8MM/+D/x3/yXH+Ovnf0Tym//M3zrt1znfPkQY1KRkWgqrGsxypMliiIz\nHF+7glZweHDI/u4OZ8+fcf9LX6Bar3n04CHONZydvWA2mwEwHo0YFaO+Mjt6Y0ohDafjZoseft/O\nLqoedlCg76MBYbIMISz5ilptG30Zz8D1xoUx851XZowhIWU0KtjZmYrkcFAjXa83XcTRq70anJN+\nBsOPUYEFlKami8wuQ1mX8fwtY/UKg3/5Uq98vx7ycqGiOU1T6rrh0aNH1G3LxWzGzZu3GY93ePH8\nnGZTYVDkiXSCa5uW1XLJZr2gKjdB9kOzmh/ze4tv4of5RVYrxeMH1xkXEnXbtqGuKzQSuUcZFZVI\ngaD3PsyFtCTFB4clGG4X9P272p4wd70tGGDkkeM/KMbbOh7C3whGPz72ssEfwKCDx2LOYMioGiZn\n++NId+/ZRebR8BMLx6Lk8hBrfeV0fs3Xe270RcpYmpLkSQYKES1rW+q6xAVD7wJtMoZGxhiktkGR\nZmmHBdrWBlmF2Fy6wKQ5qmponRO9kUbkVzfrNXmRUxQ5iU5FW8SGDewVxit862irBgpHnmRkRc6q\nXNN4KX5KkoTxeEKSJGw2a+rzM9brisV8xWZT472E60mSYa1nuVhRVS1pkpPlGdPpCJRFJwnr1YbP\nfvbX0fq3JPG33mCtY1SMyfOc0XhCkorCZtO2UvwVdc+hgxdU9CBcXyBSTHfwzqK9QnjjwUskGLbQ\nDch7H/IB4lnFBR29fTV4LPibGGP4Ex/5Fv6v//MDnJ1pvp9f4b/9nf+FH/7PUy5W/whQpElGkrTM\nZhe8OHuBSVLKqub9r7/G7du32NvZw9YVi7NTnG2o1ktO2xK8UF2lsjnj8OiIw6MrjMcT8EEauYkw\nXo/Rek/grG9v1rjxto1kf/BpYwLEI/1hhyH9cBOLBwZOuW6Dx4FJEsN4POoa/uS54Nlt25CmWRcd\nxtxP07SBKdVj0vL5mjQ1tG0P81zGjy/DPMe37ry0x17Gl6O8hOsMYydV6O0gIqJLpioUq9WK+Vtf\n4f6Dh+zu7nP16jHaJeLgrErKcs2zpycsFwvqqur2YJqmjEcj9g9qHqo73PX3Abh2vKZuLcUol65W\nzqGcGFox/E7qJ5wow2Z5r6OvlaABCpjsX2dIWHBepCZiDkciWEfbui5yjXMmh29IxMdx8J5Ykaa2\nxm/gDcHW2ri8RuIO6XMovbIrfrAi1fYaU4NG9niHN3HdhvWqXqXN+ce73tXon56e8rM/+7PMZjOU\nUnz/938/P/iDP8g//If/kF/5lV9hd1fkTP/sn/2zfNu3fRsA//gf/2M+85nPoLXmx3/8x/nYxz72\nrjegVJ9YydIUVMpquWI2n3cVs6Bw1uFsrHhLuoEYsnSMMbgB2yFJEtI8I80LnNeUZUXjhOZZVTVG\nK/IMUp1itKJpKqGRoVHOY1AoJ5IKtmkxSjEajTB5ipvFzaZIEpFoqOuGumyYXcyYz5d4r0Knewn3\npehJQvjd3b2QUGxC9WLKdGp49uwZWVYE79QTy7Fjty3pv1oHjXGRhVAK6iCRnKQhoTXQmXHOoUPl\nZQdbKBWgNEAJ51zRe8A+rk4VxLZC+NBvkBimihJj3dQcH9bsccGbfI7fMv8eP6J/k7YROqdSkhD8\n3Of+NetNxWRnn3XVsFjOODw4YlLkPD59xsMH91gvl7TVmoScIssY5blUwhrDzmSXg/0DimJEWW6E\nals13brok2hxffWbKnrZ0EsxRKNpEiVdybTu1CRb24fezvb8fjkceg39CLU5FQ4FI526JpMJWZaR\npVnnPUsznYTY9zTqqcTKYBDV19YKUB21+4c87+3vtF3B2e8rtfX9t3/vG8kowGhNEpoAWduEKFa6\nSZ2fz5jPF2iTcHh4RN00zBZLHj9+zHpVYXzCerlmPpuzXC24uDjDNhVaB+13L7pYo1HBOyf/lP/i\n736CD/3Nd/jbP/l5/tlv/G+M8lwOxkJUR3UQZHOtaGsBUpRYNVLZbkJfa6W6RO7L+SsjyXHVS6LH\nHE4nzrc1Zn32ZmDTu/GSSI+OvXM5QTukZ16mDg8hpZg7i/U+wkIa3HfHmhvSR123b51wp7/h1ujv\navSTJOFHf/RHef311ynLkr/xN/4GH/3oRwH41Kc+xac+9amt5z98+JDPfvaz/PRP/zRnZ2f81E/9\nFD/zMz/zromH8XhEFjx1SYBK0cV4PKaua8qyxHuheCW5aLRb64TLP5IG6G3bsFovUEqHqllHmiWM\nRiO8kmreumlobBu8rZQizdnZm6Lw2FDRWxSZ0DZbYRTkaUZR5KRBgrbclFR1jQu8bMFmWy4uLnDO\nMZ8teP78lMVihW0dWS5a42LsCdXG4s3VtVQGaxO2nlcYk3J8fIPYEDtJUoyW9opxfKwTUbCoI6+D\nyFfs9KWSVHRJlLAblErx3rNZXpDkedBVaUkGlE2cw8IWK8B7L6JqLuQLgkEQlcmQUHe2a6f4/MVz\nfuQ//j0+9Pln/KvPfYKf+lsP+fKDf0pRjKiaBq0Sdnf2ePz4MQ8fPUWnBcVkh/F4yvPnp8zPL3jy\n8AGPH9zDtjVZnjIqCvCezXpN1bZcv3mLO3eFvhlD9jRJJQQOsI2LbZFQQYfmtfB9+gR21DUyOuny\nH27YnDwky4yWYh/bth1UFA8W76XuwzvXHTR1XYl4YKJEjtp7TKKp6pKqEpijqku5O6UC+8t1CXNr\nA4YJnaCbC9FpLCYaskOGhj4anqcP7gftnZ6eGvH+3jgJbBNVRWVcVJAXd4xGBQcHh2iTMFs8JDEJ\nKhjbJC0YT/ao65rNpmK1WrGYzZnPLijLDdp70izH09I00i96Z2fC4dERq82SXzv/J/yZ6pT//R/8\neU4uVsLeCbIFo2JEUsiab5UUvkkkPcakCZPJhPVmQblZUdct0vHOcf70Psd3PkCRFpRakyUpVbWR\nmhZjOjbesF9BTOgDwTGjg4fiOHeCe55unodOUR9VbudWhm01h9Fh/L2bD2OkgUs8gLbyCYTnSTOb\nJDGi4OuaXnDu67ze1ejv7++zv78PQFEU3L59m7Ozs+7mL1//4l/8Cz75yU+SJAnXrl3j+vXrvPXW\nW3zwgx/8qp8xGo2ICpnSM9Z2jYXjwKZBciAxKWUp/TONMeRZjiRR16zX68CRhizJOm+qblqWqxXr\nTUXd1GHyEtLEUORi5AnaJ1pFDyIRzRyTBCllkVXWxtA6S2Ob0CzEsl7LZ9dVw2KxYLkSeWatE5Ig\nCaHReKKICR1m6ByhGrNPosl9iwGL0UGMbNrQwlCSyNFz8PhAZRti1R3vYIhFekII7Dvj2GGYYT6G\ni88HZdL44k7hMQI7IYmbpHJo//rv/R/8V9Mv8eKTU377c3+H6c4+u3t7oCpGozGNbWg3a2zr8Ery\nIpvNhovzGU8fPeLk8WNWixnjNKHIU9LUhIPSkWUpV65c4ejoiDTNpEMSEFtYRhw/jkHv2Xbf8hXr\nNmKr21i4j0wxbYSfFSCHIVMIR/C44njaLteTpcJ8MUbjrORvVuuVyAcEQyE9fAe8/AG+G2EBQm/m\nbt0Mrss4PjAw4K77fZgLuGx8Yt9AH5LJ1lrp7VAUJib58QAAIABJREFUUlsQmqoURYE2qXQoQ0Hg\n0bftitVyyWI+Y7NeYW2LJILFgCoFWZYw2ZkynowZjcc4FKfFiIP5ggeh0liIDw1lXZGngUml0q4v\ntDZJ8NJjwxlxcIzJOsQlRkuK3uuO/XWFBLQ9x0PjHr3qYeK19+bjOoqJVU+f3h2O+9ee4I0/rQ1N\n5uMhQoR3VPhe4dB2tj/8XYtJ/y0lcp89e8bbb7/NBz/4Qb7whS/wy7/8y/zqr/4q73//+/kLf+Ev\nMJlMOD8/5wMf+ED3mqOjo+6Q+GpXmmY0TUVdi7xql4jrqmCN4NmjEVqJEYhJmdbKhFrrgga3p8gE\no0/TlKZpWK1L5ouVFF8p3SlMjvZ35bSFgH8Lt1iqgUUpUCnFZDrtQjMQHX9bKayX8HNjS5q6oSwr\nMf5N27Vg7BZCLJ32Ax1uHZJMIcSLBsgTqKVakledjrtzNG0TOgOpYFSMCDCFCj9tRLbZd8bddYY6\nn0xom7Yzf/Heem3zbcN4GTeO7xPZHYJsCAQk9D5JrB59/nP8o4/+Ccqq4eBA1ErTRCqMdVujTCJl\nKTrFYVgsVzx//pwXL05ZrZbgPXkmRXHOOZq2xivPdDLh6MoR451p8IodIgfRNzQZJtD8ANMfbmA1\nwGVlXC3Ke0m4Kk8b5YNVT2eN2zxCKUMWhg9jEY2O1tJ+cDySCNYj1ear1SpEZmLcm6ZChfGjezfk\nlPL9epDb7T3Ky3M09DqttRxdv7kFBQ2NXJxvrSWxLLCOtB20oTlMkqSkaUbbWlZLcWbMqBd8i2qq\nFxczLi5mzM/OWc+X2EaopyC5C+eEBTYaj9jf32MyGTOZTkBpnk92uFGV/MtGoZM0JGehrhu8EbHB\nLNWiRGskCmgaiWwlZ2dDFJGilWJ6eAut+oS9YP5Bfr0JKrxJ0jF2+sSurAjbHYwQT5E41P22CHOh\nNabbu5JnJO5gJWqu3iGVzPTrrkNLGcBr3g7O86GnL06ADhCsC86VFNRZnPnGmqN/TUa/LEt++qd/\nmh/7sR+jKAp+4Ad+gB/5kR8B4Bd+4Rf4+Z//ef7SX/pLr3ztEP969RMIDchburaJwTtVGhJlek87\nVOd6Ly3WmrqRrL2PTJ1EFtd4jHOe1WrFaiUelqhdZtJOMcAfDPBaZ1uyPCfPBcpRQZgrTaVAJbZY\ny1TCSCs2ZUm5KVmv15RlYOk0DdokoQOVpm2jhG5slBEYBUqhIobqQqVguHzIT6RpFjanpaoqGtsK\ntORskGpOxei7FmeDgTYG7KBphuuNNZ2BieyAQfJSh2Yi8R5Ub/DjXfkg76s6Ixcex5NmqeCxdc3N\n0xfwbX+S0fkLnPNBAwm0Sci0JslyLIqm9awWK54/P+X0+XNWqzWJMeRZRppIcU7ZNtL9yxh2dnfY\n3d8lSVM2ZS2V1R2G+7IRHFI340ZiEAnEMZKd6AUKdBqlbcD0+6goXlu4ejDWkVFijIY0ofCF9HLO\nA9tLK+pGejk3Tds5DwKTMciVxDxEzBP0B/NlXH54Db/j8N/xcyKOPHxuhANjXsHZvl1jmkp0WtcN\n682GqipDEtJgraMsKy5mc54+PeHi4oJ6tcHVkh+TXFRL3VSAZ1yM2N3f5ejKIdPpDpPJlNZ6LsZj\nrixLvBNmTpbmpKnIVTSNpbEtWS4FhEb3/W9j1zI/mIvYy1dJeIGTREzntMnaH9RedGOqBw7A0Evv\nIZ3hmIHHWo/BhGgnriW6QzruK3EkVPjcMCdOHIToeMj3CI5LnNfBZyktDaCEjBF3Wljb/htL5f6R\ncULbtvy9v/f3+J7v+R6+8zu/E4C9vb1uEX7f930fb731FgCHh4e8ePGie+2LFy84PDx81/d/9uSU\nJmD3J49Pef7krOs+tThfs7hYEyfl/PkF60XZ6fI8e3LKyeMTyrKSkLlsKdd15+U/e/qc5UyqAac7\nU3zb0lY1aWpYzhYsLmbML2YQWgguVyuWizVpluKV4+nTE548eUpVV5R1zdOTZ5ydnTMN3v/56Rnn\nL84py0rqB6qatmpkAZuUar1hs1p1nnK5nLFZzvBYvG9Zz8/ZLGbdXJfLOZv5DBNyGr6pULaWf3tP\nuZxTr5fdwbGeXVCtlkITTBLq1ZJquQBksW4WM9aLOc45Nosl1XJFvdn0EENZUW/KbtFtVivK1Vr8\nDK1pqop6syEKXFWbMjwfUFCtNzRlRZoKzv2n0g/wcPomn/lnP8knPvpXWV7MeesLn2e9KWlaz/13\n7vHw3gOqynJ2PuPzv//7vPWHf8jZiwsptPOOJHjuVVVxcXZOtdmwszPl8OiIs+fPeOdLXxSNJGt5\ndO9tHt17GxDD+OTBPZ4+uNetrT/87d/k8b13OpjjyYN3ePLgnW7zP3nwDk/u3+sMyJMH93j68H4Y\nP8fje+/w9GH/ficP7/Hk/tuD3+9z8uhBN57PHj/i9ORJUMb0/P5v/w6//1u/1fHglxenNJsFeZ6R\npgknj+5396uU5CBOHjwMkJri6cN7W39/9ughzx497A7rZ48edL8rpTh9+pgv/f7vdtHb8yePOH3y\nqMtDvHj6mOdPHnV/f/boIU/u3+uSm+fPn/H8yWNEXbPi4dtf5vmTR4Bw508ePuDs6SNADq1qfk67\nmaNDNW1bLSjXM3FM8pREORIcB0cSob3z5be495W3WOQ5h97hbYVrSkySkucjVuenXJw86qDKxfMH\nzJ/dE49caRbPH1LOnncQ2+rsKe3qjHJ+AsDi7DHl/BS84PR2vUG1TXcAVssF1XLeJVbbckW9XnSO\nT7tZ0WyW3WFRLmeUyxlRwkP250UH460uzigXs25+6vWCajXvDH21mlOvFt162SwuKJezLnyolgvq\n5aKbv3o1p1rO8KHarFrOaDZzkkRYXL7e4JuSKKHy9V7v6ul77/m5n/s5bt++zQ/90A91j5+fS4Ud\nwG/+5m9y964Ug3z84x/nZ37mZ/jUpz7F2dkZT58+5Y033njXG9i/ssd6IUydfGQwRlGWJUmacnS8\nH8Ibi3UtN+5eQynF+dmM2WxGMUkpNxbvLUmSs3Oww7gYs1wumc1mpLlmZ3+HJC0wacZkIs2V20bC\n7KOjfYwG7yxpptnf3WMymQjrpW6Z7IxQRrMu15jEcPX6FYrxFOfFg03yDBVYM8akTHZydNBbV0ox\n2d3tuyIpRT6ZAKK57r0iG4+xTnV1ByYfhwWqSdOc/Tvvw1orybLFgvHufrdgrbUUO7sU9BBOsrdH\nVQmVVHnIJ1Nif00IEI9twIsUcj4eiWcSqlHTPO+cHqVUULTso4VinHeSD947slGG1x6jDbdv3kb9\nhuOXz7+bX//1nN/5nTf42Z/7cX79936RclOhjWH36BoexWy+4PT0jFULy1ra8I3ylGw8JTWKpq6o\nqop8VHDlyhE379zmxu077B8d4ZRmU9Z4XFeEFI32jTuvdR6+956Dq9ekOMvJJrl++7WttXfz7vsQ\nl026nB1eux7mtsEDx7fvBmxfCrZuvvb+3uP2nht3X6dXbHRcu3EL5yxNUzOfz7h16w7j0S6nzy9Q\nwN33v4ExSUhEW27efR+tlWYhANfv3KXj6IX77T1NJX+n9/zl83t459Zr79uCIuP4xNfE50cZj2u3\nbksyOeQhPvTN38J0OmWzEVbU8e27Ifodc3Z+QTbeJZkokjTjtbsZh/sHLM/PWC0uaKoSlRXQSs3I\nteOr3Lh5g4OjQ7IiR2nFax/4IM9Pz5ilGUcK0ukhSic0ga10fOd1Slty7/Rf4ZxnfOUWyifMnz6j\nKDJ2rt3BrGc0dUmaZkyP77Isc6ACrxjtXGdZi6evtWJ6cEjZtN0YJqMxWZ4DEqHlk93uwFNKUezs\ndQ6Yc458sksPD3omewdbeRJTjLdyJOloujUf+WR3C17LJ6JLFfsYJ+OxdKcLNFldjKTXRysJdVMU\nQZ0gfp99lOLfrLTyF77wBf75P//n3L17l7/+1/86IPTMX/u1X+Odd95BKcW1a9f4i3/xLwJw+/Zt\nvuu7vou/8lf+CsYYfuInfuKPhHeiFyI4Z03TeEZGs7u7S5bnnSpinLgsy6R71kDfwpgk8KFznHOi\nzbMSnZOsCFWVHZwjFLL9g120FoaLSUV+OElCFj9qXeNEczsRnrlOpHBksViyWCxYrdZBgqDvlSpJ\nMeF4ex/KL7QOMEAIAYMuu9GGpqWjBsbFEWsJqqoKuGRggpgkVN72PU37hG5fmxCNyJBdUEynOBsT\n5K9QbAxwEIRuYF1J7za+HzdALORSSpGkCTvTKTfu/S7/Dz8IQF0r2lYkGKyzmDQlNyMaZ1G6xSQ5\n4/GUK0dI7Ossrq1YrTfQit7M/t4uN27c4NatWxwcHeG1ZlNVItdhA+FNvawtH8fy+u27xMKty+uw\n/y5B9qAV47uVF1A9YyMyXbrXxgR8hAidR4d8R9M0PH9+ymq1YVTsUJXS/GcymVCEwrLNpukIC90c\nuCHUECGDHlf2/vK997/H9zi+dWdrbl/1PAjsoPB9tdJkWUZRFBIVbjbieCUp164d4xx87nNf4O2v\nvI02Cce377Az3WU8GqNdS1utWC9mWBzFKOPoygE3b93k6vE10jylairmiwVOac5nF7wwCYfOk+W5\n9Ip2XmpuOlgr5FtCzU3bRqliOWwlNycS4N57xgc3AxxHD2uqbrB6vN33lNv4GdsVuRCJC72kRa/J\nlCQGa9tu713eY5dzYXFOtmFGubRY76Biqrp1PJxjeY00Y495K6X9AAb6+q53Nfof/vCH+YVf+IWX\nHo+c/Fddn/70p/n0pz/9Nd9ATIJ1io6xwjYUsUDPSrisl5KmKXgoilwYBlrTVM0An0xx1krCN0AW\nscJShRPbKd81XZb8Qh3a03l0IuwYtBwAdVuzLktenJ6xWMwl8eSFQdLp1wROesekQZKfeI9R0hw9\nSVTHTFDGo1opPosVo7Z1bNYlbSMeQFmWYbFGA+fF8DkXKJuKTomQlxdE3DCDVG3/+KsWUMCzUXGh\nDjHnuJBlTrRW7Ex3OJ/P+Pb21/lr4/8R1vCf/bkLyvZL0lzFJIxHY1SWsVxvUGVDnhUcHl1h/+CQ\npqpYzWfMZw1125ICB4f7XL9+zNXja0ymU5RSVE1DXTch2SoNXJS/XKB0qX2dUt03305Ox1xLGAct\nyTMF4Hynlhn57NbFQp6wfgiSx/SbUGmpd3A4VqsFFxcX5NkErTJsK4Y2TdMADzShe9kwb9Inmbfm\nbatb0yumy/uXDM8wDxC/dzRU0dGygQGVpLG5ve/YaE3TUBRjDoLcwmg8xnlPVZZS1JjlxLaPHkm4\nJ1nK0eEhx8fHHBzukxdZKKyqqZoaU27YlCXnxvAh26K0ARWqTVVMxrtgYCUfYhvhtXe5kGALlFY4\nH+sYhtz4Xi8/GmczrOEItN5hzkTgo5g870a/+6mCwxaX1dDJeNWcdIn+wd+2DhwihVYN8mdSC6CM\n6ZwUpRTK++7zlQquqP+3kMj9N3lFWpVthR6YZxlZkFW2QbLXO4dDPF4FIUFqmEzGuMKT5zmJMbR1\nw2Yj1M3RKNLOLG1dYxF9+yzLMIlhdj5jZ2+Md4TqPWka0XnLWmOSRDYnIvi03lSsVhsuzues15tA\nHU1D4laFAgo6vZSuMi94H045UR/0StJBKujXazG+nffhPVUtiWHrHE0tVFM6RpDvDG/biuHqStEJ\nxVNKWCAqsC7K1YpsNNpKW0XogmgslOu8fVR85naSSj6bLtmplObw6IgbozHZ7IQ//3ff4T91z/Dm\nMfcff1mUR41hd28Ppw2LVUlVSnX0aDwmzws2ywV1uenWRF4U3Lh5i9u3b7KzK2yd5XpN64XFJDxl\nh/O6kzjuN25v8E8ePuDGnddfMnri3UcvW0tCNSTnVDCySvXEPJmXeMj18J2OzqeN8g0ynloZsAJT\nemfIUoU0gJdotjNULxmMPtk+bNohZ/PLRj8akiF75+TRA45v3dky+vG7D8XFOuaSUl2VcKQgC0NO\n2n1OJxOuXD3m4x//DqbTXc4vZgJJWI8NBYAuiPTt7u1w684tjq5cIc+l13XTtigUeZaTpTmJNszS\nnH3biJNjfZdgBxUKMA1ZJtLUTV0BDh16CgvpIvYObrFtw/LsIZPxB7tcl0yzMHxs25LmUtgo0bgw\nhfwlTz2GVBEQoPvp8F6cv0i5HRb5xXkYXsNxVyrUwnRrKKwzDQF+EMdRKenLQF9sBnRGXwIQ3xUO\nfiPXe270m7qhbVqMMphUU+SCY61XK5q67qGdRNFWDa4VgbQ0SUh3dolSyG3dsFotqSpJ5O7uTMmL\ngtVyzexiQdvWKJfitQoNIzzKR1aDeMjRO4jNlRNjaL2jtZ66rlgupRFKVTWhpNsEeqc0b3a+lzzW\nJkF74bRHQ+2sDxGNYPq29Tg01kmW3oeDAOXwvsX6YKiUC1rawu1nEPI711dseq86OANiqHo53AyL\nObxevNZgQFSovo2dM1BB6VGH5KRonzsvjBxrwZiE/f1D3ihrnl054v/9tb9PWVa8+eFvloR2qinS\njL29XRabitliwbPnz6jblv39fbJMPF8bmmKkWcbB4RG3bt/h2vE1nLcsV2uqpkYHrXXRXOm/T4RB\nhleMTHrDPeRnSzQWN65AAraHAaHTyO82oI2885zI0Fdh7VgvcJfzCusjzXhCU0OejUjTHGuhqaWY\nzZg0FM71jIwIB3aGXu5s63u9G2Wzpxz2RkcNmSH0xr8NTWiiflQW2FdN29A0dfcezlo0ilu3bnLz\n5i2+4zv+JE+enPD4yRMePnjEernk2UmFV5AVGUdHh9y+c4uiKCirsiuszIsx+zu77OwesFnVrNOC\n3ShyaAUiU96HDnUqwE0JaQpatygajPZ4r8IhEfaHtThfgdIo7Yja597LvrCNNFVSueqgUe8kWohD\nohMjL9PR0sv/wjt1+9d7wtyZQdTQQ0rDcY9wqRwmBHJnfHO99f4xaa2VOAtSTd/fh9EmQIkhsgxr\n9Ru53nOj7xvPeDThcO8A7zxluaFaV1JYtSlRCI3Me0dlqzBIuuPvK6VYLBY8e3pCXdccHBxw/fox\nu7u7EhlYS6o0dVnT1DU0FSRwfFXkbYXX66mrsgtzTZKSZJnQLxvLxcWc5XzObC6HitaJCJwZg0lS\npMebeP3OScvCBB1kEyJEEBatV1gbFR8bVKf10od/OIc0YlFoozCJDnU0UWRt0P0oGAytJXTFqd6I\nd95d5Ok3wcA2OCMlYyJsFQ1oxLjDweFBKohhb/eQ5XLJar0MTeUd63XJ0dER+JSDB095fOUq4/EE\nrYVKilOgHFkxYmd/ijUpj5485otf+AJZnpEkmqYqWa0WOO8pxhPydIfX33iDqzdvoxPNZrmksZ4k\nzTFGUdfSFBstrfbE4+5lOYY/r99+30sYaydLoXUH7WitaaRPoeRftEBHMZpSSpGlBuGF63A492Pm\n8RKFBMMlPP+UnekB0Zgr5UkzidQkKPCDyMJ0nxV/ysGikTxe3wRGrgh39JEcQJ4n3H3/B7bGIUZj\nSRK84BDNtm1DksgeSrOU1rdSdKjj2nKs1yuenjzh7tldvukDH+T2rTu8dud1Hj16xM3j67x49ozf\nbVY8eZySZgn5KGN3V5LUm02L9o4sK0i0wZBw5eAaF6drzmvIrGOUjljbDYnWZCbBoPCNBwtGteBX\nNM0Fzi1JlBf5bRd19FvKckWStBxdf43UeHzb4tso1R6KIZ3DtQ7bWPSQrKjoGqe7pu0iyNipKubo\ndNwKzpMHuBnvaUOerafBDhoThUZPWmuUFx0gmYd4AAQ4LjiaoMnyjCyRYrO2qqVLnnNMxxMpympq\n8jzDNg3zi3evffqjrvfc6Dd1TWISTCHt0LROMCahaUq0ygKupbCNpUUSpMaIMbSBOlVtStq2laKr\n0YjpdMp0OqGuK+Gt2wW+riWcUpBqTWoMKLBKEo3OC88/yXKyvCBJc5yDsl5LQUpV09QtzkFipC2h\n8Jd1530a7QNOKUbYhUYJfiAT0EElwXh3Gigq6rAQcPqg0R78Cb3VOu9lL08WkSzyaJi2OMlKHtdG\n48OC1HqIdwcjQV8qFjeJ91KUY630LU2UARrS1DIe7+Cd4ujhI+7v7uG9l7L5xIi31WGuDp0Yrh1f\nY7lagfKiQqk12njKzQbbVqAUaZZJw/nW00QjGjaxKFkmSBPs+N16d/hypeUQ0ujweKU6jy3S/5wz\nHdZ6GR/vx9jRumaAyfYCbzHhG41xH4F0/mD/Plq8u171k26ch/NJgHWGB7jM53ZYcxm7f+V7EaO6\nBIWFxHWkCClcknqQupaEtnOW1Uo0dr74xS+Spjk3bt5iMiq4ef06CYoiTXn2/DHz+RmzxS47OzvS\n3a0VB8tbh61b2gbyNJfG5k5Rk5AToxsZG21ESrqpXTjDLM5VeFvK2jUx2avR2gdCg0MZD9p1eHiS\npWRZjm0dSYgMbdvSlBWAOGtJKEhz0s9AUD4lip0q9hmQQ9fj8W5b5O7y2MvPQZK2k7voXHYibBf9\nKeccNvb7QOFaS+sakYFxDo2SHKDzKCtJ7XWzYlMuMf+uSysrByZJUD5k1C0orzE67TC6DpJABQkF\nKYDabDYsl0uatiHLMkYjadcXk7pGyyFQLtchOYIYZKW4uFhw9dohCQbrbDC8knRM0wyTiJxsWdas\nVxvKTSWNVmLCSfWJHQbGNSpW9gualzZffC5IGOrxgWp3WaWvPxiGi6cz0ANPozMwHZ4fF6T8t1ks\nyYqCyMGPwmlxrQ5ZK/H3zuH3nrIqaaxUcUqXKEeSpezuCa3t6tMTPvuRj2CdZzIdo5WmrMugjlhT\n1TXXr9/kk9/9XXzkzQ+L0ilQrjes1wsW8zkvTk/FoykKrBPmlHXSFAalo1iFVHCqeCTplwxeHOeT\nh/e5evP21oYdFi1tbeDgdV9mW1yeu8saONEjjNd2snj7fS4/56s93h9Q252eXpUgHH5n7/1L2juX\nnxPxImOk4DEKq7VtS1mWNCFflmY5ztWcnZ3xuc99js2m5PbtEw72D9E6ZblYsl6vybKcoytXKcYF\naaqCHEpMUss+ELFEx2a9YbVasrIteVhfdGMZK4Vb8EGCwlpaJ1CcThKBglTIm2jdadDMT5+Q39jB\nK+n2laQZPsioy74Rkogol8raCe4XhAKpDo6JJbKe4DjR7e8oP9I5EdAVbXaeEr2d8QO4qft7sA/W\ntYHxZcToOyeRlrg34lR4iRpEe0lUhxeLBfv7uy/N/x/nes+NfmJS0iQVfNvFjLtHETdTTJyIrnea\npN1GqCoRfBqNRhwdHbGzs9Mpf242JdY2op8TkkKxjaIPJ7AxOuirJIDCOml92LaO1tas1yWLxZLl\nch00YISpE3E874M2RmBXiMJifwp3lZDh95cN//Yi8t53VYeis+76aOAVuGEfWsZoIyaXVEh+y/hF\nrv32+9Df2yXjMPQ0lZbFXTcilWtCiOsRydyd3R2MMdx8ccpbkwkeyPIC6zxVJZ6USUouzmdcv/ka\nb374QxhjaOqGi4tznj97zsXFOedFQWq08PMD9dY2rdBMUeGQDf1bfY/Zx8PuVcZ2aCjjFWGx4fyA\nhO/bsM3L9Lt4aETDH+dnCLX10NHLzU8uj/HwvS9fl6OTy9/hqxp+tp2G4WfJ93SB6ptuaTrVIX8m\nc64pigyjExaLBU+fnrBabXj48Ak7O3sUeYFzntV6xWq9IssLlFE411CVDWCDEY8GVrMpK87Ozzk7\nP2de1eQ4grzQoFENQR7CBBkFyYNJji2lpQnzHbprWUlsWudprBWoMklFdLBVXf9nrVVXQCiQStuN\nV5Km3bz10Th00Vr4z/cmf2vevBoQHKBbkx7f76vwmBxYYsuslOgKuhEORhGGCzZJSeQRCyPjf1or\nxpPxK9fM13q950a/KEbCV28a2q4xtHiSbSsjnqYpWRqaSWep9J5dragqCdmmO1OuXr3CdDpFazEc\n6/UK5yy70ynFKO90faqqovWO/YMpDkeiU4F6ULRlRd001K2jaSzL5ZqL83k4QLwk4NJ0C4OXBKgP\n+HfEa4OxHW74znD0370zGIPQP9LMYoelod5LNCKXD47oKXXNIRw47VGuX7jZaIxto257n/gTUkBM\nAm4fQiBOkAl9jCPWLPTFljQT+eA925K1ltNiRBaoqE0jOvet9Ww2FScnz9nZe8id973O0eEReZqx\n2SyDTIXvZKuzYIyiqJZzATIjsqMU1ktnJWG08JJRjfd/4+7rW6yVy2M3FCOLMhWvMtBDA5xlWbiv\nl6GWy699VfTxqscvHzSXvf/Lxv+rRRZaa67fvrtFLY3OQ1dUNKBtaq07+mhV1WIEQ5JS/m6o6ppq\n0zCbzTg/n6MQVluapljvpLo4C7kt67F1jdKxFoQOrmusZb5YMJvPmTc1uffB8/UoQUshtENMEpFf\nwIu6qaihGryv8V2kaiQKBIr9a9StpbUOpQ1eKVonekJ4izEii6EDMcMGCneaSbQjkNbAkA+mMe4f\n7+WA0ipKGQaHSRbgtvOketiqXzv9HOnEoJ1BK2GDaeilVOJzPKJAqkNvAWtJEsPh4QHHx1dfWqN/\nnOs9N/rT0VSkj22D9sISQcG6LDuFRaUStE5J0wIp0V8ym83xXqQfDg8OOTw8pCiKIPm6EQE2Z7GF\naHWDDJ71EjK2zmKsFSVL1XtmVVVTljWrdclyuWa+3NA0FqUSEYBKU0n6bHmJfSMNpUD7Hgv3YUFI\nZPeylx+N/rDSL772VYZlaCC6z48QxNbvw1EeUPsIAa+LtEQ1MPr9Z+jg4aMCzu3kgHBeJHPbtqEY\njSiKguPlkhcH+0ymOyhjUGjapgaMMCa84uzsnN/+7d/i5PkJV69cIzGGxWLOxcUFy+UyzJfrqo0j\nk0prTaJFZlcE6GU8nScoOQ47E13aOIMD81Xe/+VE3EsH9aXnK6U66DBGZMM5eVVkMbwuf+7luby8\nBobG/lWRzDB/EQ32cF1G4z2MTGKElmWi7SQKroZKAAAgAElEQVS9JSra1pIkWZebiK0cs7wgy8dI\n0VZNVda0TY0L9+I8fc5FGUgSQPaXdZ4sFWnw8WhE1Ygcda0gw4MKuR4DOgm+shOV3NTIPtNoTCKH\nfhP7P5sEtME61Qn4tdbROIdXRn4PLDNJmIcDfRDxolRPT966AuV54KvJfEnewKM6iUT6d+1eHfeY\nfIbv2o4S/9P9YWxaaWqEDweJCowrouy2RSsjOYm2Zjodc+fObV5/393LN/3Hut57oz+dslyuUWqD\nc2KMtDEkJqPBBqOkQ6PxhtY2zOdzlssle3u7XL9+zHgs4U70wKTXbE7TVDStZNlb28pkGY1RcHG+\n4OatCUmQTpbeqBVV3bBYrlgsVmzWFa0V3E2KqZIQhl5KnAVocGiwhz+H19AIxc063OxFUWw9BgSR\nuZfhnS7SCBtUK6RYyRFEmSIlFar1irQYhS5bl2oIQlg7vCeIySxQyqN1lOu1tK3IIGRZymg04pOj\nD3M2PePN1/57xru/xTtPfg+lDFkWEtreU69XzC4uaJqGJ48eSxFTHAs3EM8yEvXFKuQIQUg0E2Wn\n6SKrrzbOAE/uv8O1S52khofB8HUm2U6YfjUj27TtVkHQ5Xn9al74q67hPcTPfKm386W1Fo375UMu\nfsbTB/e5cuPmKz8PhISQ56JC6+kbiwgMovscAjrQmyOTzGB0xqgITYtMhkMMqseJ0qtD6hg8uJAI\nTdOM0WTC/uEhy1XZsYUgrE4NJhFSgQvNaIxJw7rRaCVev7MSfXs0OknxoZexSTPK+Smj/Tui3mo0\nTosKrtcaH+C4ui7RaQKqF3V0vlfnffmgD02FnBxOWtNX+b5iDpUarJcwn10F/mAOtz9LdUWA3nnp\nm+Y8Dhfk3uXgbFqpmxiPx7z2+l1ee+3fcaPf1pa2bqRbUGulOMP4EMalGCULqWla5vM5ZSUl4tJp\naso0VmuGyRuyM+oaVptNyIhbrLckoTNPXVnSPEcnCV4JJbIKzczX65JyU9M6j9EpSkc9k9CkI+zh\nrQ3e4cEvb/qBH9DBOz2s0Hv1UnAmrRdjA5nYJWu7CcarsP2wzbzujdYAsoj/6ZBM6jDxLcPZe57i\n4Yjet/Iar7zgtq3cc5KkjMcjvvvbf4TP/NXfY3/9IX7yb97mL//XBVfuPOBRfYJykJgElOCu2his\na9ms18IOMppEGymEM3rw2fE7incfmgzJPQ8M9h8FrVyGxYbjNnye7pLT/Xu8qsweoNxsur8Nm3IM\n7314qL/K8L/q8XdL2A4PoZhTGEJTQ9inDTIB8bXRqHe5hgAZtk0jrDUr866UugQLJXgvMsettbIe\nICRREyFfOPF+25BoRCnScC8ekTfWXd5AdOH/w+/8M3x8/4fI3v7T3Lx+zFvvLDGhSU/bxgMv7iPB\ntzWi8ClyykYOAedpnUebRKJXpXFIRbRHIECUCoWXKjrZIn0cYpPhXhSnR9hsChXyY0rqY1B4L71q\n/ZBGjw/vF/JfSn7iPV4rfCzACtG8yE1YdGuDHlRIIHtZ68oLhdpbi0EinpiXnB6Il//aa3c5PHp3\nEcs/6nrPjf75+Tnr9SZo2CipOnUEz0E46iL1WlOWG9abJWlq2NmZMhoV4tE6T93UneGMRrSupdhE\nK2mHlyaGJM9ITMbO7n4QO/I0dUPTSrOL9bpiUzY0ti9KMsbgfPBErOtYNrAd2n81j3N4DY2R930u\nwHtJ3o7HY7IsY71eh7Bbkk5pKt7RZcPfX8PHYiIJotFPi5Ek8XSICKLR79bpNmtF7JpEC10koVWH\nY6YhbLd2l6vre3wRaZTzu/9yh09/8z5Pn5+JqFAoghoVkI9yqrrqMFWlhKERAbAhTBH5yyropMcc\nR4yC8D5oqG+H1vGnUorrd17rjNjQSA49+vj85FJjiqGHFq+ogwR9VHI5anjVITN8z+HPGOb3Y74N\nVcX3uuz9x79HiCneg7WW/SvXqOu6e118XKLfTIJSa6kbqYqGoD2P775bkRcopSWqcRbvhSbtlVjN\nnnnmhQLpwSrp85CkBu8Ei1eIsV+t1rw4e8H7r303f/Uvf4TR+RP+HCN+/If/Jj/5v/4EJhGnog2d\n2aQGg25NyEEn0YQJMgWNtVJkZQyTw1s0tfgv4mmrkPAX5yXNDMWoAK1oWulWprQn0QlZnlGW9SBy\ni15+T7t0SgUoCmJ9RYRQw20K4SGuF++7A5FwEHgv0be3HqukZkArHSDKUCsTcy7OoVNp8lSVlmw6\n4fj6Nd544w1u3brVF5J9ndd7bvSXS0nIyuSmIWGjaOuW1nnAhMSQLNSmachzgRVEW0d03mVx923l\nJEFlWa83KAXFSJI5eV5Ihh+NdZ66aSnLms26ZDZfsC4rWUyBh68jnhwNNJJAjFeHn/v+pP9qG/6y\nIfERyxtcl3Fa733oEtTr+1zW/ugMX7g/MeSyYL0PHrsXXFI5MbDx4FKD99m+5wF0Re/5OideX5al\njMZjyvYd/v2DL/NPz38ApTz/yZ8+4eT0VFrQ6VCCbsUjS4wU1vgBLFU3Te/BE3XmdaASxn62wVi7\niMv60OGsP+AvG/z4+JBLH/9++fnDcR/+bTjG0UBfPrTjv1/l8Q8N+fDxIW10yPK5fMXnxWTs8P3j\nOh9+j6FiJAjc2Sm4Dg6oclOy2azxBLq0Amtjkl9hjMU3liowenRs6IMwqLzzaOexDpLgkQvb3Ac9\nKdMd6M556rpmNp/x3P//1L1bqG1bl9/1672P65xz3fd9n31u36UKU7lVJSBUAmIKgxIVBEFEEMSI\n4oOIL4oaIviioIbEIBojmgRfJOAlCAlUShIVrZhUpeqrqtR3P2efs/de97XmbVx77z603scYc+59\nqsrvEzY1DvusteZ1jNF7b721f/u3fyu5vdUc0NOT8MVnZyzmM9IsHfoOtF0vvQ18qNbve/J8LvPY\neVQiRtm5jrZtKcsDqetBNHoSb4SFF+61FFxmlEURqutDdzGrSBK/Y6xjVbwLtS4yLgS4ygenZxcG\nij9jc6E4l2Scd+dcnI/OC5RjlBYGqRJYx3qRnDFKkWcZi8WcxCgWizmffPIJH3/8EYeHhyzXy7fm\nyv+X470b/ZhQ2vVyACU9ZbvOk1lpnZelKVrPh65Rg5F18Yb7gfHhnB9YQV3XgPLM5jMJNxW8+vKc\n47NjqqqVhO1yzXK5Cd6CIU0DtADgbERB0ErtUPvGBGkwCmqEc+T81JDEjYVcMIEj/GhU+l4grCg0\nFxdr13XsG619LxSkuYJ3ci46ejzhXnTbLUmeD+yd2Gkq7BFvGa5wYmKUtML3dthIQRgZs8WC3/zh\n/8W/lP8a//S/WfNzX/t7fO/Lv0HVblFKitParse6hixLMMoFGMcH/rEd9JCc80NxUKyMTkzsiTx6\nuuIJeUya7CQp92EvEEz/2UefyLhNvH32rtf7oOjo38byp1h3nHPRmEbYLXr90fDGcZvmB+L3TeHH\n6cY0PeLz8TqmOi9xzjnndiu+w7levPpiYPDEvEhRFFIwZwxd27JZb6iqCpNILUvvxKESXaqUTRBc\nE42rBKU9DSId4kPBoTHSy7ZpRFrcOkuSyAYg2lMeq6KkgpznweGaLPMkrRj9p8/uadqOIs9JTMK2\n6mibhqMjqWQWQkbL0VFBhF8GTSIPTdNwcHBKfXsO+cOBxx9JAMYYTF6QZaEALQjMxTHvrYWmIbLe\nHG5QolV6Eok7N7ZwVZ6J3Z84cuPYDMw7NTbM2YELGW1JYhIUns62oZJXbOJ8PudgvqAsch49esiH\nL15wfHwsife65cc53rvRf/DgAV3XUdc1TdNgA2ae5TlN21JV0lQ6LzLm8yIUXyWYRNH1bWhA7XbC\nWYEINHmeM5vN2NaA1vTO0/UWH0LXqm7YbGs2m4q6boJhD/1sY0wWDh+y7JHNss8MGYz+UGDlg+ol\nuxj6ZMMAdjzR6NVPw3Kt9cAY2T92vdURMhAmhQ+h+ATG0Uq0KXds++i7eD/1Jh1KCfvBqN1G3EqJ\nSmhR5JRFyezmnP/5N/8yt9/JKMsZaZIN9zLy6mXTjno2IzySxNL2QMUri4Ikk1qMuCHG18KIUUcP\nNi6yeF7Tf9q8Devsw3GD4TUjxBUN+XSjiIY+ftf0nKb3Zmqs34XPT89l/3ym4/pVNNN4TKXF43uU\nUmRBHkRrPbQZPTo6GqiJ93d31OstRVEILdPoQVRQcHXZzGQeejyt/AzV0NokKJ3gnECPGpE5LgoR\nbXPWsmkb+k6i91lRSuVvVvCL3/qr/Mf/qaP55RtO/ifHX/vf/qxch5eCyUSPVc1G61ClO8J71lqs\nMyJRQD1EqrbvcVqapZRlSWoMXSPMvyT0mfbev9VQ3HsfBN78QHn2OtxLP0bCSiuMFxr51NPfPcbH\n41p13g0Px/GSzcCAjWvMS+Wy6zFaUeYFBwcz5mWB8z3zubSbLIqCpmlplg3r7eYrzuF3drx3o1/O\nZiRRTbLvpZoPSWykaUoTqjr7HpQumM0KiiINol+dPB6MiNxsGbzEJGQp8uRK5G57a6maFqU15cEB\ny1XFer1hs97S1KKpIztxTCQFVEf+N+DkcVHC2JMz6s4PDvwk9B6Pt5k78YhyAFNDFnMUeZ5PtPLf\nNhDxp2L0ULzzjDIInrScBV2Rka3zrs8YvyMsEieJdULxjJv0HM3znNxo8r5HnZ5xFJq/WOfp2n74\nTDEiLZUSWWw9lUDYVoh6pcgO53kuGC79sGlFyQgAjMCA06jpXUYW4OmLj79yQ5iO0YDP7lz/+Lpo\nCAcOuZn2T5hqHI0yDzAu/v15MP3e/eNdxj99q4Do7dxBnENPXnw0nGdZlhwfHzOfz+m6jqqqAMXR\n0THej/mvtmvJinbgkEuE3QcyhRRB1U2H8yKwZ5IU7xVd0+L6WEBo2a433N5sWa/u6LqGPMs5PTnF\new2LlMubW/78X/q3eXFxwT+5vOBX/sGvkhfZ0KKx61tifsUk0m9CWqgKVKSUJw1Mn661ZCYhMwn6\n+DGr+5pEK+ZlgVGapqqwnSUNujd9b7F9ECVURvKrTEkB4d5rEYGzIbpXhIR0gHaU3/X0ZSwIkGqs\nLk6GIri45kVQTQduhcPoBOM1tuto6grb98xmBQcHc46PD0lNQlVv0DrqI0m0VNf1ji34UY73bvTr\nuh48CxeTH16SOklqmM0Kuk60dgJbMtK1pTIz4pAh4etdgGeSVAofEkPneuquwXmo2xZQ1FXPdlOJ\nxEIt3kxm4oINyVAvxg+GnChMQvJh4U4SpvgR9xsW8J6nNjU+zrmhIjFN0wHmmUI4+8nCdxmRcAZD\nlCGGaELJm9Av1fAePzX9xMTZeO6R1qlC5CD3XMMQEuerFeuiICsL8ryknC2wVpLoSpkhr1LX1VBs\nR4Cd2omKauSYez8+rpQSNdVQSOQJ9Flj8MrjsG8ZwakxjJvmvnGcGuPBmIak9fQex3kZvXzY3Zzj\n66Z47fRcpr+/y8BP58O7Noh3jfN+juBdCWpgMOjb7Za7u7uhG1ZiEo7mh0PU2XXdQGXOsgydmHDd\nPR5NXhR4r0XptO1QSpNlOVon4mH3onBbVxvulrfc3l5xf3+Nsx2HB4ekJuXg4Ii1W9E2LThF0dTc\noqk2lRTkZTl4gXP6vh8S9FOWjQsy0EmSkBhDG6KaPM2wTolzggi3YTthJ1kXEtSSjO6dG6DgCOFM\n5/xozSMEysjyCT0xFF+B64fHYr8O6318S7gWN7B+vIc0S9AKqm1NXW0lR1bkzOclZZlLla7Pmc9n\nlGUZaLqS35o6bD/K8d6N/mq9GsrAnRfhJePB+h6tFUWZkecGpT1panC+x3lRDTSYCWYaC50YcD9t\nDJkqKMsZFi+J4KbFObh6c4NKDG3XiyEL4mmEBiggttrvyZ5PzeSw+JgsdK0iHM4wibx/y/DLw34I\nAacGY8qX3vfwvtLgB69EGEbBy3eRg+1oqy15WQ6J5uF0wsT2fryG6FkHwelJ9CIhaXytdY7k+ob7\nPBfd8kXKYjHHOfGsskw6Z22C5kobOoFZa0P3qx6TpNKsPmy4fdex3Wyp6grvPUWeM5/NyPMc1Aij\noRS9lwsYwuY9Wuubl5/x4tOv7xjJ6dhNIbPeyryIUZhzbgJzjDh91KqJnzfdjKPBzdKUP/xHv8Et\nl5ykp/zGL77h9m75zvF712a1f+xUDjNCgjvwYjjnNy8/4/nHnw65stvbWz7//HM2mw2z2YzHDx9z\nODsA1ID7930HsUlIWAvS9TPg8SRkVjjySmmyoiAxCX3X09ctbVWz3ay5vb3h9vqK5eoOraDMCxJj\nWMzmrNcVfSesrSPnuFearm7BKxFi89A20sAIrbBOmh9Jw5DQ4tE7jA40TCQRmiaG9etXKH0knrZz\n9G1DxBUtjl6J0Y/6/wO9kt383FC4hQ8OphSdRVLE8FPFauPBUshPFd3FsJ5dMPYhL2BdsFOI2mnv\noe9ajNEcHR1wfHzErCzQwdmZz4958OABhwcHKCWFo13XS9T9Yxzv3ehv62rscGMMJgkwjRb1S1Do\nVIyCJIpEOMmYLGCQPvB7LYRmB+J5AUhiNRZWuaalDlr4TdtJtOBi56skCETtJ9UmXnF03CeGZXxd\nMPp7XoPs8oiXEJ7egRm8eOgRp54u7qnHGj9r+jMeU7gmbiSxajg+p7UK5+2JHm30ZOI+Fr13gS8k\nid2HQi8fvRaHMCgC1prf33ObptRNw8L28aoD/bQkywsOjw6pqiPatqVtW7bbim0lIW2eizfjvaPa\nbrirKu7v7ri9vaHrOg4ODnj08AFZmgQ5iJaujX65wjMmWafJVoC2k2rTaVI1Gvsp5fJd8NA0CRsr\nW2Mla8y37I9VvP8/87Nf49/79X+Li+0FiU74L372v+Zv/7W7t+bL9GfcDPc3pv1zmUJI+1GORBtm\nEB5MEtHOefXqFXd3dzx5/JizkzOaRtpRdp0kzntn0cYIS0rFeYfIX1QV1gtl2oMU9ylF20u9xfr2\njtXdPavlHZvViq5tUCFyK3LJwZ09OKNpLqIDzZFzLLW0OyTMK7w409poTGpw9KGg0gkpwVvwTnpg\nBGqjdzYI53qUd1KU2He0fY1BBW36Xccp0oPxgHNY/FDsFqPjqeMFUqDlnduBfafLX9b9+FjMBRit\nxZEYWHRCoNBK07UtrhMc/+j4hOfPn3KwWAAeZ3uKLOXxk8ecnZ2SFyVd17HZbLHWkac5P87x3o0+\nCG3KqHFhyc9EtNt7SWaaRJFkBr0jOxwrRCX8NlqMvbUeRSI/jQkenMJaT9v2NE2LyUQfhonR2Df4\nYWYwzNZwTEP5iJ/bwWPwIYSbhNzDQhZO7nTh6kQP3vfUq4TR+49ef/y+6U8YvRZAJqgfzzcahHw+\nF58ldIQavyeyi2JAEo2iBm9QU6E2T8BEdei2lHNYV9yHZtMCiXRh81Is/JyyLCiKAu8VVdMGuOEe\nbZZ0XUuRF5RlQV1taZqW5XLFcrnk8uqSvu3QCszjhxwdLMizjG1VUTcNvQevxl4E8Z5NjfHR2SO2\n2+0wZlOjH3MKg+HXe9XIA9Y75i8iq2rf4Os9J2Ct77jYXgDQu55fu/tVynzBpqre+fr4WRGK2zU6\nu8f0/KYwYLyOF59+jcND6S18eHhImqb8xm/8Bvf39/LdaiQ8RH1+E+TA21baGiol3bRMmlGt17Rd\n6CmQlyJL7B3L5Yrri0tev/yCzXKF8hZCE6E0iVDFXP6VMw4XByQ6wVvPkXNs05wsn0nhn5XEaZKk\nFIXMl95uUYrh3ldVN2x01lq6tpUIxXkWJ0+4vdkI9GodfSMSxYKhS5+JKDeODzCLC20wQ24DpMgs\nwj/eRPaObATOepIk+0qYbuoC7kOz0/WqtTDrqnWD61oenJ7w0UcvePrsCUZrtps1bQuLgzmPHj0k\nz3OathP9r66nLGbMFot3nsPv9HjvRl+nBhW0atIkwWRicLQTxodSNnipQAiVBKvuQCnR8ggKmEkC\n3olkg8A9BoMUcnS9pe0tddtR1w197/BuDN9kY3AjNDOMYvAOJtWtzo1DHAuXFLGkWg243bCwJwYi\nGuPBAE2kgafl8MP9CYt/6gW+yxuM3llve7yd9BINnpsOcrK7m0Ew+X5MQE8/1zsf1P88wpm3IsCW\nJoM3+RDYzOfkZUEaqLRN09B1lk21pShLktSIrotOyPKS+ULC7NXynuVyyfn5a5bLJfd3t6yWS+rt\nlrZuyJKUw/mC0+MTTk9OSIwmSxM6O8OisARO9sQTjr9Hgzj9Fw2qUiOtL/6dpCOLahphxXGJmP67\nZBr2F/ehOaZMSqpejPzXD7/BLzY/3HntlPMf3xeT99PNZ0rXnG7808ggOksxoonXdXR0xCeffMLX\nvvY1rLXMZ3PZvCJE5X2AcgxopCCwk4RumqXSLtRJLkiMr0BG2+2Wi8tLXr18yc3FJb7ryFPZONu2\nJjEinnd4sKDIMpqmFW17JCm+sB0rk2ASQ5plpEmGDqJ6ElXpwOLzpImhLAq2SYNRSGV9L+tfK2lW\n3jUiZSD9mA3edtiuw1lHYtQQyTvv0D6ob4YNYLoWlVIi/hacN+ftuAZ8xPTfjrSHdR0eVkQDMM0f\n6NGzch6joZzPePz4EY8eP6IsCqztKUtJ5p6enEg3s5BTSpKE+eKAspzHTNuPfLx3oy/42UixM7G5\nibVB7ztBquFEV3roKqRDoQ+hb6qDQZdF6QBlGNCGvhHdjj5IPbRtT7OpScsZRkcsbyyUkgBQET38\n6DnLd48659FAx/eKzn7U5ga8UCe1mvJ7RxRQoYQfjhs+e/p9ANYqYnvF+JzMudgaPEysEELavh94\nxSMrwdNst+SzmRj4+J5o9NmNTMSoEKImwoYqG68CEiM00sPFAUc6oc2LIfSVeW2p6i3cy4Jabzak\naYlX4l2nmVA718sVl5eXfPHyJavlPbbvpG2Fd2SJ4fj4gLOzUw6PDkjTRNr8KU+epTid0LlQebmH\neUej+OqzH3D25NlgTPfhk/G6LW0TY7RdzDwahLZtd6CjuBlrbUJNRNwANN/6v1/xn/+R/4ofbL/D\ns9kLXn1rs5OzmfL69889HtPNYSq7MN3k4/ORh58kCb/+K7/Mo2cfCLwSvOaTkxMePHhAnuUUZQkm\n4M3BMUmMQRtNY6RFaJblIjmM8PjTTNqCKjRt1XB3dcvFl2+4evUarWA2yzHa07YVdVszn5fMDw84\nPjtjtliIyGEv3amsdSy6lpsspw9KrXk5R5mEputoetHLattQJ6DTYTxiVC+yDYYklfNc375E6TlG\nQ2bEsHZtK2tBabwX5U0diB5B13aQZBgi/QlEo2ILUhXWcnQKedtBIsC003GZSl+YgX0mrCDbd2Sp\n4ez0iLMHxxRFRt1UeGdlvI6POVwsqOtWsP3ZnKKYMT84xDk4P7/47c3qb3G8d6MfBzTLMpTWIr9g\ng/ocYmDG0dBYJzufNEpOZQAi9qYUChNaEGo6D9o6us5RbVs2q4p624QmLQlGG9nJ8SGROz2zXa96\nN5wPBjP0sxSDGxoyx+QiSpLCzgXObzD3Sp4zSsVCRpnQofAkVhfHjUMhkUs0qFoF1kFIDomBJ0Av\nHu86CPnkaOD9YFiEFxxf6xworYImedBZVynaiF65ch6tRK42TcC1Lc62eGcxWpPoFNO0NMrwyfOf\n4Osf/hxKK87v/k+++/m3abuG27s71uuGJKtJEml0o7VivVpxdXnF6y++5PLNOV1TkSSaNHRxShLD\n8dExZ2enkhz2jrptsE76tlrb0QU99bZt5XwiXGMMJsnJ84z5rJQF6Cf3YRjiiPH6gYO/k5yNnp0L\nOZJeQkgVKHwSqrvwt8FocTaWyw3/+1//TYwxvOx+MHwWSg0bhPORA67DGIYoxXuSSb5BIgthLcVG\n2rYXlluaSueroihJE+lxa3tHXTVcXV2j0JSzEmc9R0fHxGrQzvW4Xhhd2iv6vkM7HRKjofAx6N6k\nmUZZL6qXreX++p7zL865O7+hr1pmi5Q0caAsvW/pXYvJD5gfH7I4OSaZFVRdz83yjvvNks73PMby\nm0lGh0dnGTrP8dpgFTRdQ901bKuarvMkuRaZ7bahtx0mmUsEYr30ltYm6oOjtSNJIDWhAQkRb5eE\n6tiQPubl9OB5KyOwlElEsrmpa3HmlJKCTufwdpoXgKjOG42+j3k/JWiE1prEhJ7O1gIOZR22bTg4\nXvD48SkPH5+QJlr6DKclx4dHnJ6csSjnbLcVB4vDwbG0reX+fsV3/8F3+Ol/6NMf2ea+d6MPDF6J\n9Z7tZkPfdsyyPBhn2SGVkn6h1km5dh+y2J4QOnmFDUUe3odijkb4rJttxWZds13Xwu/NMhaHh8Ld\njS3LtPqKs4sJM9l0Rm9b1AeZwAE+pABkosUeOAS5Di+0Lh897NHLQKsgCucH4yQvUCgmWH6UgA5/\nS5l7mMjB+4cpTTF4wc6TFTnTlm4Q5ZUJTd1D7kErlJH7KvmOBKU8RlsItRHO9nhraZsOt1xjFsfM\n+Of51/7lJwD8O//uY148/e/57PVL0TpxPYnrSVOGBXx9ecHLzz/n+lK6ZWVJQpZKdWLd9czmJUeH\nBxweHpBmGb2z1F0bZB2kWX3XScOd5XIp4e98HiiAGUYrXnzyaYB03jGqE2wcGCQ8pgJl8fB+uvnH\nD5OF7kKjC6UcNhgS0Yd/24uPXv4Us48J2K7rhtxPJARMMjM78JF1Um2aJhlZmmO0CJJV25pHz17Q\ndR1N3XJ5eYUxQsEs8hLvPV3fo720GjUhGe86O1ANkyQNc15gkTTR0EpvhPubJW++eM3Fl2/o1zWz\nvCTVFmdrrO/pXUuaJ8yPDpgfHZDOcnoFdddwvbzjbr2k6Vue2ZbXaS5Ce3mGDzBSh8drsK4PEhCg\nVILtLW3TAJ40T9BJQmsdFo1FMXvwlLvrmyAqFRO+frgmHeEaN8JnQ5U1DPUo0WHzTuYWMDDFJCoI\nXl1omqS05CMJUKh8TFjnEBhpSF/iThroJy0AACAASURBVKJY5cH3HWWR8ujxCc+ePaTvHW1bMCtn\nHB+ecHRwzKJcUJY13sHyfsX93T113XBxccmv/eq34J/5419hr377470bfWcdOhNPyVkbvFAR1EpD\nQte6PiwshQkqmX3AHpQ2w80mGOO+tzRNT1W19L2lrhuqqsJaN1AzY4g2DZMjbjtNsk3xVYhQkEie\nyj6hQg9N+T3id2qgfoYG3ANsI9fWWwKlS7wMx+hhxiIwvB/wOzHiolQYk7WjBMSYggiilURoKgRI\nO1W4U4MXjdu+nEDftyF3EcPqXhhSgTNjrWWzqfDrDUef/AH+3J99PJzFn/0zj/hP/vzv49Xla2FZ\n6QJFgtYJ6/Waq8sL3rz6kos3b2iajjIvyLMEo0WHXys4ODjg4GAxFCbZ4G23VpQWoyHu+57VajVc\nS0zQ7tR+TMZxn6MfN3CpTlUYp3E22XnPNE0XjX6Ut3DWivNgbajAlk3Jaxtet6vlM80bTKuMI0to\nSCoGGYEkeJnTDSSKp007X03zDvvw1P6cdiGJGZPzanJ9OkR+Y6Qr7K27+3u+ePkFr16+Yn23Yp4W\nzOc51q9p2i2NrUEpgZIePmR+sMApRd2HNdg0NG1L23c87lu+CNeQFTlOebZNTdU0kgNKREUTr0hM\nGmS4LUkq+Qfrhf6Y5jkOT9u39LYjC+yuutrS913I66nBMZvmR5Qa+w3EDbdtW1RQKY3V8KggOxjw\nzkFjJ7AfZDr4cf0CKsxDDfRtI7CktRijMF6hlafIM46PD3ny9BFGp2y3FalJmZULZsWcREue5nvf\n/T6ff/aS25tbNqsNl5dXXJ6f8+Mc793od50lSSxdK3RF6Xmg6PqONDVoE1XzhMqVpCld10qYb0T2\n2Kc6tPWTxgriKXRst1uqqqGuxeBHJoZSimq9JivLncQdvG3kp79D6LMeDLcLOLz3IwtGRwWHIQdA\nxHUGr21qbFzvZB+YCDbBJFkUjFvMIcS2atPFrPcWdHx8ujF0VU02KwdcOH4eTPFpPdDX2lCIo7UR\neIPoJY0wSt93mLpi2Td88knHL/2SsHg+/qSjau+EKkuKc5qmEWrg9fU1X3zxBW9efcl2s6JIQnPu\n0Oi+sz1pnnF2dsbx8Ynw80NArbVGOcmpFMWcPCtomoarqys2m83QASnCIl9+9gMePn2+c4377JyR\nmy3QGVqPG2hkWMVBZerpTxKq/ah4CYRGPe3OuE2/M/4eN6WI/ca5GZPQUUpBoQdDpJQampkrtasD\n5JzjzRef8eSDj3bmQrwWH+bsVOKBKDKmRq55xLt7Z1lv12w3FVcX15xfXnB7f4eyoEtxDpIkwXpD\n7wzFbMbTp095+vQpB4eHwziYRBLMWkGiNM9sy4XJmJU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dYWvfCZg+Jp8jicq6rsnzVLxp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pJqKLPPb3CWZmywsvMeXmA5+nVZIwzEYUQniQl9nzIPuLjIGPQ7HF0/4ObNI9Y3Bghh/Xo9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\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gZmXj0YjxaNTL8Fc7U7Jszdp95EVBWRl835CkAWEQEocx1opYqqrFnrWvpYpeAm8B5Qne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\n6bOnfOe73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YMjBsOkn/dbK8wWlEcyW1BIkZTTuAs3lwKNnw12V1NZiv4/iz74br97+WBx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\n"
}
],
"prompt_number": 168
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"minor = a"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 169
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"major = b"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 170
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Note that the sticks should be `major` apart!"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"major"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 171,
"text": [
"84.820231723756308"
]
}
],
"prompt_number": 171
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"string_length = 2 * np.sqrt(minor ** 2 + (major / 2) ** 2)\n",
"string_length"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 192,
"text": [
"143.14630905081378"
]
}
],
"prompt_number": 192
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(5, 6)\n",
"plt.plot(*elliptic_pts);\n",
"plt.scatter(0, major / 2);\n",
"plt.scatter(0, -major / 2);\n",
"plt.plot([0, minor, 0], [major / 2, 0, -major / 2], lw=2)\n",
"plt.plot([0, 0, minor], [major / 2, 0, 0], '--')\n",
"plt.scatter(0, 0);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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463Parcp+NFVygG/PertDcEgAl90whstuHE1QsJn8fRW88ef19E8c4tUccaEB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\nRK5CYII=\n"
}
],
"prompt_number": 196
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"string_length / major"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 193,
"text": [
"1.687643456540117"
]
}
],
"prompt_number": 193
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"(The string should be `string_length / major` longer than the distance between the sticks.)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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