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@kmzzhang
Created November 4, 2024 16:31
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MulensModel vs VBM speed comparison
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import matplotlib as mpl\n",
"import VBMicrolensing\n",
"\n",
"mpl.rcParams['axes.labelsize'] = 20\n",
"mpl.rcParams['xtick.labelsize'] = 20\n",
"mpl.rcParams['ytick.labelsize'] = 20\n",
"mpl.rcParams['axes.titlesize'] = 20\n",
"\n",
"%matplotlib inline\n",
"\n",
"# Better looking figures\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Initialize VBMicrolensing() class object\n",
"VBM = VBMicrolensing.VBMicrolensing()\n",
"#Set relative accuracy\n",
"VBM.RelTol = 1e-03\n",
"#Set accuracy\n",
"VBM.Tol=1e-03"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example light Curve where only small fraction of point require finite source\n",
"\n",
"VBM: 2.4ms (auto decide whether to use full finite source)\n",
"\n",
"MM (use VBBL for all): 13.4ms\n",
"\n",
"MM (use VBBL for peak): 2.2ms"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x32c7346d0>]"
]
},
"execution_count": 142,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 431,
"width": 600
}
},
"output_type": "display_data"
}
],
"source": [
"t = np.linspace(7000, 7300, 500)\n",
"\n",
"s = 1 # separation between the two lenses in units of total ang. Einstein radii\n",
"q = 1e-2 # mass ratio: mass of the lens on the right divided by mass of the lens on the left\n",
"rho = 1e-3 # source radius in Einstein radii of the total mass.\n",
"alpha = np.pi/2 # angle between lens axis and source trajectory\n",
"tE = 100.3 # einstein radius crossing time\n",
"t0 = 7154. # time of peak magnification\n",
"u0 = 0.1 # impact parameter\n",
"\n",
"# Position of the center of the source with respect to the center of mass.\n",
"tau = (t - t0)/tE\n",
"y1 = -u0*np.sin(alpha) + tau*np.cos(alpha)\n",
"y2 = u0*np.cos(alpha) + tau*np.sin(alpha)\n",
"\n",
"mag = np.zeros(len(tau))\n",
"\n",
"# Calculate the magnification at each time \n",
"# ?VBM.BinaryLightCurve\n",
"\n",
"params = [np.log(s), np.log(q), u0, alpha, np.log(rho), np.log(tE), t0]\n",
"mag = VBM.BinaryLightCurve(params, t)\n",
"plt.plot(t, mag[0])"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.35 ms ± 15.5 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%timeit VBM.BinaryLightCurve(params, t)"
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {},
"outputs": [],
"source": [
"import MulensModel as mm\n",
"params = {\n",
" 'u_0': u0,\n",
" 's': s,\n",
" 'q': q,\n",
" 'alpha': alpha/np.pi*180+180,\n",
" 'rho': rho,\n",
" 't_E':tE,\n",
" 't_0': t0\n",
"}\n",
"model = mm.Model(\n",
" params\n",
")\n",
"model.set_default_magnification_method('VBBL')\n",
"\n",
"mag_mm = model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x32c2cfdd0>]"
]
},
"execution_count": 145,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 431,
"width": 600
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, mag[0])\n",
"plt.plot(t, mag_mm,'--')"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"13.4 ms ± 102 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%timeit model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {},
"outputs": [],
"source": [
"# of course if one specify only use VBBL over caustic crossing \n",
"# then speed becomes comparable\n",
"# note that VBBL decides automatically whether to use full finite source\n",
"model = mm.Model(\n",
" params\n",
")\n",
"model.set_magnification_methods([7145,'VBBL',7165])\n",
"mag_mm = model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.18 ms ± 19.9 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%timeit model.get_magnification(t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Only caustic crossing\n",
"\n",
"VBM: 18.8ms (auto decide whether to use full finite source)\n",
"\n",
"MM (use VBBL for all): 25.6ms"
]
},
{
"cell_type": "code",
"execution_count": 229,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x3400b4090>]"
]
},
"execution_count": 229,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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TdXV1MW7cuBg3blzaU6lKghgAAIDqpyKmezXZI4b01GcSQUxOEAMAAFBtsolrvbqMIGYXQQwllWzQ1NUliAEAAKg2nV2a9XZHEENJJVNQFTEAAADVR0VM9wQxlFRDXf63XHLdIAAAAJWvsEeM+GEX7wQllTz3NOsFAACoPslrvXrpw27eCkoqmYJ2ZXORszwJAACgqhQGMeKHXbwTlFRy++qICEUxAAAA1SUZxNi+eg9BDCVVLIixPAkAAKC6JK/z6gQxuwliKKliKaggBgAAoLoUNusVxOwiiKGkiqWgtrAGAACoLrav7p4ghpIqWhHTJYgBAACoJp1d2bzbDfWCmF0EMZRUsRRURQwAAEB1SXagUBGzhyCGkipWEdOZzRZ5JAAAAJUqeZ2nR8weghhKqmiPGM16AQAAqkryOq/YDrq1ShBDSdk1CQAAoPoJYroniKGkip18ghgAAIDqkcvlCnrECGL2EMRQUoIYAACA6lbsGk8Qs4cghpKqL7ZrkiAGAACganQWucbTrHcPQQwlVVeXiWQWY/tqAACA6pEtco1n++o9BDGUXDIJ7ewSxAAAAFSLohUx9YKYXQQxlFwyCS2WlgIAAFCZssV6xKiI2U0QQ8kVVMToEQMAAFA1il3jada7hyCGkqtLnIDF0lIAAAAqU9GKGEHMboIYSk5FDAAAQPVSEbNvghhKrr4u/9vO9tUAAADVo9g1niBmD0EMJVef+K4TxAAAAFQPQcy+CWIouQYVMQAAAFWr6NIkuybtJoih5OpUxAAAAFStbE5FzL4IYii5ZEWMZr0AAADVo7Mr/xqvvi4TGRUxuwliKLlkEFosLQUAAKAyJa/xLEvKJ4ih5FTEAAAAVK/kNZ5lSfkEMZRcXeIkzApiAAAAqkayD6ggJp8ghpJrSJyEKmIAAACqhyBm3wQxlFzyJOzKZlOaCQAAAAOtM3GNJ4jJJ4ih5AqDmJQmAgAAwIBLftYuiMkniKHkVMQAAABUr4KKGLsm5RHEUHLJkzC5fhAAAIDKVbB9tYqYPIIYSq6hXrNeAACAatXZJYjZF0EMJVeXqIhJpqUAAABUruQ1XnLn3FoniKHkbF8NAABQvZLXeCpi8gliKLm6xEmYFcQAAABUjWQfUEFMPkEMJaciBgAAoHoJYvZNEEPJJU9CFTEAAADVQxCzb4IYSi55EqqIAQAAqB6CmH0TxFByyZMweZICAABQuQqa9WYEMXsTxFByyZNQEAMAAFA9kttXq4jJJ4ih5BrqLU0CAACoVp1dgph9EcRQcnWJiphkWgoAAEDlUhGzb4IYSs721QAAANWroEeMICaPIIaSq7N9NQAAQNVK9gFNfhhf6wQxlJyKGAAAgOpl++p9E8RQcvV1+d92KmIAAACqhyBm3wQxlFx94rtORQwAAED1KAxiRA97825QcsmTMHmSAgAAULkKmvUqiMkjiKHk6hPbVwtiAAAAqkfh9tWih715Nyi5hnrNegEAAKpVZ1cyiElpImXK20HJ1SUqYpJpKQAAAJVLRcy+eTcoOdtXAwAAVK/ObDbvtoqYfN4OSq4uEcTYvhoAAKB6dOXnMNGgIiaPd4OSK6yIyXbzSAAAACpNV+IaL9meotYJYii5woqYlCYCAADAgCuoiLF/dR5BDCWnIgYAAKB6JSti6usEMXsTxFByyZOwS4sYAACAqpG8xqu3NCmPIIaSS56EybQUAACAyqUiZt8EMZRccn1gp5IYAACAqpG8xhPE5BPEUHLJjtnZnCAGAACgWiSv8QQx+QQxlFxhs15BDAAAQLVIXuMJYvIJYii5wu2rBTEAAADVoitxjZf8ML7WCWIoORUxAAAA1SsZxCTbU9Q6QQwlpyIGAACgehVUxNQLYvYmiKHkVMQAAABULxUx+yaIoeSSjZrsmgQAAFA9unJ6xOyLIIaSq8+oiAEAAKhWyYoYuyblE8RQcsn1gV1dghgAAIBq0dkliNkXQQwll1wfmCxbAwAAoHIl208IYvIJYii5hrr8bztLkwAAAKpH8hpPEJNPEEPJJXIY21cDAABUkeQ1nma9+QQxlJyKGAAAgOqVvMazfXU+QQwlV1/ku05VDAAAQHVI7pqU3LCl1gliKLn65NqkUBUDAABQLZJBjIqYfIIYSq7Y+sBkV20AAAAqU3Jn3GR7ilrn3aDk6ooEMSpiAAAAqkNBRYzkIY+3g5IrVhGTPFEBAACoTAU9YiQxebwblFyx9YGCGAAAgOqQvL6rt311HkEMJVesIqYzm01hJgAAAAy05PWdICafIIaSK9YjRg4DAABQHZLXd8U+jK9lghhKTkUMAABA9Upe39m+Op8ghpIrVpYmhwEAAKh8uVwuki1AG+oFMXsTxFByxYIYFTEAAACVr9hGLCpi8gliKLn6IidhNmfXJAAAgErXVeTaTo+YfIIYSq6uLhPJLKbT9tUAAAAVr1hFjF2T8gliSEUyES12sgIAAFBZBDH7J4ghFck1goIYAACAyieI2T9BDKlIVsRYmgQAAFD5il3bCWLyCWJIRV3iRMwKYgAAACpesWs7zXrzCWJIhYoYAACA6lPs2i75QXytE8SQimRpmooYAACAylesR4yKmHyCGFKRDGJUxAAAAFS+YkFMcrOWWieIIRUNdfnfel05QQwAAEClK3ZtpyImnyCGVCRymOjqEsQAAABUOttX758ghlSoiAEAAKg+ySCmLhORsTQpjyCGVCQD0WKpKQAAAJUleW2nGqaQIIZUJCtiNOsFAACofMlrO0FMIUEMqUjuI2/7agAAgMpXUBFjWVIBQQypSHbNVhEDAABQ+SxN2j9BDKlQEQMAAFB9kkFMQ73YIck7QipUxAAAAFSfwl2TVMQkCWJIRbI8zfbVAAAAlS95bZf8EB5BDClJNmzq6sqmNBMAAAAGSlc2/9pOj5hCghhS0VCfrIhJaSIAAAAMmORn7IKYQoIYUpFcJ5hMTQEAAKg8KmL2TxBDKpLrBK1MAgAAqHwqYvZPEEMqkttXq4gBAACofJ3Jihi7JhUQxJAK21cDAABUn+T21SpiCgliSEWyIiYriAEAAKh4gpj9E8SQChUxAAAA1UcQs3+CGFKRXCfYlRPEAAAAVLrktV3yQ3gEMaQkmYp2dQliAAAAKl2yIibZlgJBDClpqFcRAwAAUG2SQYyKmEKCGFJRl1yapEcMAABAxdMjZv8EMaQimYoKYgAAACqfIGb/BDGkIrlOUBADAABQ+ZI74iY3akEQQ0psXw0AAFB9VMTsnyCGVCQrYrKCGAAAgIoniNk/QQypUBEDAABQfQQx+yeIIRX1dfnfenrEAAAAVL6unCBmfwQxpKKwIiab0kwAAAAYKJ1d+dd2DXVihyTvCKlIpqKdXSpiAAAAKl1H4tou+SE8ghhS0livRwwAAEC1SbadaKgXxCQJYkhFsjzN0iQAAIDKl7y2a6wXOyQ1pD2BcpXNZuPRRx+Nxx57LJ599tnYvHlzZDKZGD58eEycODFmz54dhxxySIwYMSLtqVakZEVMsnwNAACAymNp0v6lGsQsWrQoFi5cmPdn/fr1BY+7+eabY8GCBYM+n1wuF7///e/j8ssvjxtuuCHWrVu3z8fX1dXF3Llz4+STT46zzjorTj/99Bg2bNigz7Ma2DUJAACg+hRsX21pUoGSBTGLFy+Ou+++e7+hS1r+8Ic/xIc//OFYuHBhj5+TzWbj4Ycfjocffjguu+yyuOiii+Liiy8evElWkeQ6wWRnbQAAACpPR+LartGuSQVKFsQcffTR0draWqqX67HOzs74l3/5l/jqV78auZyqjFKxNAkAAKD6JHfE1ay3UE33iNmyZUu8/vWvj+uvv77bxwwbNiwmT54ckyZNiqampli/fn08++yzsWbNmhLOtPpYmgQAAFB9kjvi6hFTqGaDmM7Ozm5DmGHDhsV5550Xf/u3fxsnn3xy1NfXFzxm2bJlcccdd8TVV18d11xzTaxevboU064ajYmTscOuSQAAABUvuWtSg12TCqQaxMyYMSPmzZsX8+fPj3nz5sX48eNj/vz5JXntD33oQ0VDmNe//vXxla98JaZNm7bP50+bNi2mTZsWr3vd66K9vT1+8YtfRGNj42BNt+okT8Zk+RoAAACVp2BpkoqYAiULYmbMmBFz5syJefPm7Q5fxo8fn/eYJUuWlGQu1157bXzjG98oGP/nf/7n+MpXvtLr4zU1NcWb3vSmgZhazUiejJr1AgAAVL5kRUyjipgCJQtiHnjggVK91D5t27Yt3v/+9xeMv+1tb+tTCEPfFOyapEcMAABAxUtWxNSriClQc9HUpZdeGosXL84bmzBhghCmxBoSzXoFMQAAAJWvI3Ftl9wxlxoLYjo7O4sGLp/5zGdi7NixKcyodhVuX21pEgAAQKVLtp1IfghPjQUx1113XSxdujRvrKWlJd785jenNKPalSxPs301AABA5Ute2yXbUlBjQcxPf/rTgrFXvvKVMXLkyBRmU9uSDZvsmgQAAFD5kqsdVMQUqpl3JJfLxQ033FAwfsYZZ6QwG5KpaEfW0iQAAIBKl+z/qSKmUMl2TUrbgw8+GGvXri0YP/LII7t9zrJly2LNmjVRV1cXEyZMiPHjx0djY+NgTrNmJLevzuV2lLDpqA0AAFC5kqsdktd+1FAQc8899xSM1dXVxeGHH777djabjauuuip+9KMfxY033hgbN24seM7hhx8eL3nJS+JVr3pVnHrqqYM652pWrDytM5uN+rr6FGYDAADAQOhMrHZoqK+ZhTg9VjPvyMMPP1wwNnHixBg6dGhERPz5z3+OF7zgBfHa1742fvWrXxUNYSIiHnroofjqV78ap512Wpx88snxhz/8YVDnXa2KlafpEwMAAFDZktd1jSpiCtRMEPPMM88UjI0YMSIiIr7xjW/EggUL4qGHHurVMW+99dY49dRT45JLLhmQOdaSohUxghgAAICKVtgjpmZihx6rmaVJK1asKBgbMWJEfOtb34rzzz+/z8fN5XJxwQUXxKJFi+K73/1uf6YYETv60uxLsa+jEhWtiNGwFwAAoKJ1JnZN0ge0UM0EMevXry8YW7ZsWfzTP/1T3tjQoUPjnHPOiVe/+tUxd+7cGD9+fLS2tsZTTz0V1157bVx22WWxatWqgmN973vfi6OOOio+8IEP9Gue06dP79fzK0Vj0R4xKmIAAAAqWUfiuq7RrkkFaqZGaPv27QVjq1atis7Ozt23X/SiF8Vjjz0WX//61+P000+PAw44IJqammLChAlx/PHHx2c+85n461//Gm9961uLvsaHP/zhXi9vqlX1RU7G5H7zAAAAVJZkRUyxthS1rmYqYvYOXIo59dRT49prr42WlpZ9Pm7UqFHxgx/8IFpaWuI73/lO3n0dHR3x+c9/Pv73f/+3z/NcunTpPu9fsWJFHHvssX0+frkotoVZl4oYAACAipXN5iJ5WVesLUWtq5kgprGxsdv7xowZEz/60Y/2G8Lskslk4utf/3rceuut8cgjj+Tdd8UVV8Qll1wSs2bN6tM8p02b1qfnVZrGIg2bOjTrBQAAqFjF2k0U+xC+1tVMjVBTU1O3973vfe+LqVOn9up4LS0tcdFFFxWMd3V1xf/93//1en61pr4uE5nE+ahZLwAAQOUqdk1X7EP4Wlcz78jo0aO7ve/cc8/t0zFf+9rXxvjx4wvG//CHP/TpeLUmmYzavhoAAKByFa2IsTSpQM0EMcUCk4iIAw88MA488MA+HbOhoSFOOOGEgvG//OUvfTperUk2bbJrEgAAQOUq9uG67asL1UwQ093So6OOOqpfxy32/NWrV/frmLUimYwmu2sDAABQOYpd0zXaNalAzbwjBx10UNHxsWPH9uu448aNKxjr6OiIjRs39uu4tSC5NEmzXgAAgMplaVLP1EwQM3fu3KLjQ4cO7ddxhw0bVnR88+bN/TpuLWhING2yfTUAAEDlKrY0KdmSghoKYubPn190vL+VK62trUXH+1tpUwsakxUxdk0CAACoWMWu6VTEFKqZIGbChAlx8MEHF4yvWrWqX8ct9vxhw4ZFS0tLv45bC+oLesSoiAEAAKhUxVY5JFtSUENBTETEmWeeWTC2cOHCfh3zrrvuKhibOXNmv45ZK5JNmzTrBQAAqFwdiWu6+rpMZDKCmKSaCmJe//rXF4ytWbMm7rnnnj4db+PGjXHHHXcUjJ966ql9Ol6tKdg1SY8YAACAipVc5aAapriaCmJe9KIXxezZswvGv/Wtb/XpeJdffnm0tbUVjJ9++ul9Ol6tqU9WxOgRAwAAULGS13SN9TUVOfRYTb0rmUwmPvShDxWM/+AHP4i77767V8dauXJlfO5znysYnzZtWrz85S/v8xxrSWO97asBAACqRUFFjEa9RdVUEBMRcc455xRUxXR2dsbZZ58dzzzzTI+OsWnTpnjDG94Qa9asKbjv4x//eDQ3Nw/IXKtdskzN9tUAAACVK9luwtKk4mouiGlubo5LL720oGHQokWL4qSTTorrrrtun8+/5557YsGCBfGnP/2p4L6jjjoqzj333AGdbzVrqNesFwAAoFokm/U21NVc5NAjDaV6oSVLlsSsWbP69NyeNL9dvHhxj3creulLXxqf+MQn4pJLLskbX7ZsWZx11llx7LHHxqtf/eo49NBDY9y4cdHa2hqLFi2Ka665Jn7/+99Htkgvk/Hjx8evf/1r1TC9kExHLU0CAACoXMlVDpYmFVeyIKbcfPazn41Vq1bFd77znYL77rzzzrjzzjt7fKyJEyfGVVddFQceeOBATrHqFVTEaNYLAABQsZIfrluaVFzN1gllMpm47LLL4otf/GI0NPQ9jzr66KPjrrvuiuOPP34AZ1cbGutsXw0AAFAtkh+uJz98Z4eaflcymUx87GMfi3vvvTde8YpXFPSN2ZfZs2fH5ZdfHnfddVfMmDFjEGdZveqTQYylSQAAABWrYGmSipiiSrY0acqUKXH77bcP6vH76vDDD4+rr746nnrqqfj1r38df/jDH+LRRx+NlStXxtatW2PkyJExfvz4mDp1apxyyinx0pe+NE444YR+VdJQuKe8Zr0AAACVK7k0KXnNxw4lSxKam5vLfvnO7Nmz48Mf/nB8+MMfTnsqNSHZuMnSJAAAgMqV/HA9uQqCHcRTpKZgaZIgBgAAoGJ1ZJMVMYKYYgQxpKYxsad8cs95AAAAKkdX4pquoU7kUIx3hdQklyYlGzsBAABQOZKrHJLXfOwgiCE1ycZNycZOAAAAVI7kNZ1dk4oTxJCawu2rLU0CAACoVF3ZxNIkuyYV5V0hNXZNAgAAqB4qYnpGEENqks16BTEAAACVq1NFTI94V0iNpUkAAADVI/nheqOKmKIEMaQmuae8Zr0AAACVqzO5NMmuSUUJYkhNskwt2dgJAACAypFc5VBfJ3IoxrtCapKNm/SIAQAAqFwdyaVJKmKKEsSQmmQQ06FHDAAAQMXqKtg1SeRQjHeF1CSXJiXXEwIAAFA5Ogp2TVIRU4wghtRYmgQAAFA9Cpr12jWpKEEMqSmoiNGsFwAAoGJ1ZZO7JokcivGukJpk4yZLkwAAACpXsu+nipjiBDGkJtm4ydIkAACAypW8ptMjpjhBDKmpT/aIsWsSAABAxUoGMY12TSrKu0JqkkuTOixNAgAAqFjJD9dVxBQniCE1ycZNycZOAAAAVA67JvWMIIbUFG5fbWkSAABApUpe09k1qTjvCqlJBjGWJgEAAFSugma9KmKKEsSQmmQ6qlkvAABA5Up+uK5HTHGCGFJTuDRJRQwAAEClKmjWa9ekorwrpCaZjgpiAAAAKldyA5bkTrnsIIghNY1Fdk3K5YQxAAAAlagj2axXRUxR3hVSU6xxk6oYAACAypTcvrpeRUxRghhSUywdTZ64AAAAVIbkB+uNKmKK8q6QmmIdtJOlbAAAAFSGgma9KmKKEsSQmmInpYoYAACAypS8nivWjgJBDCkqujRJRQwAAEBFSi5NaqgXORTjXSE1KmIAAACqR/KDdRUxxQliSE2xxk2CGAAAgMqTy+WiI7k0SY+YogQxpKa+6PbVliYBAABUmq5s4YfqxdpRIIghRY3FliYVOXkBAAAob8Wu5Ypd8yGIIUWZTKagKqajS0UMAABApSkWxGjWW5x3hVQlg5hi5WwAAACUt84iH6pr1lucIIZUNRZUxAhiAAAAKk3RihhBTFGCGFKVLFUrlqICAABQ3ortgGtpUnHeFVKVbN6kWS8AAEDlKdbvU0VMcYIYUpXsESOIAQAAqDxFt6+2a1JRghhSldxX3tIkAACAytOZLbyWa6wTORTjXSFVyaVJmvUCAABUnuS1XF0mos7SpKIEMaTK9tUAAACVL3ktl1z9wB7eGVLVmNw1qUg5GwAAAOUt2axXf5juCWJIVfLktDQJAACg8iQ3XrFjUvcEMaSqXrNeAACAildYESNu6I53hlQ12r4aAACg4hX2iFER0x1BDKlKLk1SEQMAAFB5OhNtJpL9QNnDO0Oqkp20VcQAAABUnuTSpOQOuewhiCFVBRUxghgAAICKU7A0ya5J3RLEkKpkuVp7p6VJAAAAlaY9URHTZGlSt7wzpKqlsT7vtiAGAACg8mxPXMs1J6712EMQQ6qaG/K/Bbd1dKU0EwAAAPpqe+JaLnmtxx7eGVKVPDmTKSoAAADlr6AiRhDTLe8MqWpuyC9X296pIgYAAKDSFAYxliZ1RxBDqpobVcQAAABUuoKlSY3ihu54Z0hVwdKkDkEMAABApbE0qee8M6TK0iQAAIDKZ2lSzwliSJVmvQAAAJUv+aG6ipjueWdIlR4xAAAAlS/ZZkKPmO55Z0iVpUkAAACVz9KknhPEkKqWZEWMZr0AAAAVZ1ti16TktR57eGdIVWFFjCAGAACg0qiI6TlBDKlKNnBKpqgAAACUP816e847Q6rsmgQAAFD5CitixA3d8c6QquZGzXoBAAAqXeGuSZYmdUcQQ6qKVcTkcrmUZgMAAEBfWJrUc94ZUpU8OXO5iI4uQQwAAEAlsTSp57wzpKpYuZrlSQAAAJXFrkk9J4ghVcVSUg17AQAAKsv2xA64zY3ihu54Z0iVIAYAAKDybbM0qce8M6SqpdjSpA5LkwAAACpFZ1c2urL5vT6LXeuxgyCGVDXUZaIukz+mIgYAAKByFLuGUxHTPe8MqcpkMgVNnAQxAAAAlaN4EKMipjuCGFKXbOK0zdIkAACAilFs51vNervnnSF1yZI1FTEAAACVY3uHpUm94Z0hdQVLk1TEAAAAVIxiH6Y31YsbuuOdIXUqYgAAACpXcmlSc0NdZDKZbh6NIIbUJdcOCmIAAAAqR/IazrKkffPukLrCXZMsTQIAAKgUyQ1XmhvtmLQvghhSV7A0qUijJwAAAMpT8hpORcy+eXdIXUtjsiJGEAMAAFApktdwyWs88gliSF1hs15LkwAAACpFsWa9dM+7Q+rsmgQAAFC5NOvtHe8OqSto1qtHDAAAQMXYnmzW22Bp0r4IYkhdcvvqbZYmAQAAVIyCiphGUcO+eHdInV2TAAAAKpelSb3j3SF1BUuTVMQAAABUjMJmvZYm7YsghtRp1gsAAFC5tnWoiOkN7w6pS64fFMQAAABUjoKKGD1i9sm7Q+paGpO7JlmaBAAAUCmSfT5bLE3aJ0EMqbM0CQAAoHLZNal3vDukrrBZryAGAACgUmjW2zuCGFJXWBFjaRIAAEClsH1173h3SF1Bs94OFTEAAACVInkNJ4jZN+8OqStcmqQiBgAAoFIU7ppkadK+CGJIXcHSJBUxAAAAFcPSpN7x7pA6zXoBAAAq17YOzXp7QxBD6pI9Ytq7spHN5lKaDQAAAL2hIqZ3vDukrthJ2t6lKgYAAKASFAQxjaKGffHukLqWIo2c9IkBAACoDNsTS5OKXeOxhyCG1BWriLFzEgAAQGWwNKl3vDukrlgjJw17AQAAyl8ulysSxKiI2RdBDKlrUhEDAABQkYr191QRs2/eHVJXX5eJxvpM3tg2PWIAAADKXrHVDJr17pt3h7KQLF2zNAkAAKD8FdtoxdKkfRPEUBaSpWvJrtsAAACUn21Frt0sTdo37w5lIbm92TY9YgAAAMpesf6egph98+5QFoY05Qcxbe2CGAAAgHKXvHZraqiLhnpRw754dygLQ5NBzHZBDAAAQLnbkrh2S17bUUgQQ1kY0pisiOlMaSYAAAD01NaO/Gu3oY2CmP0RxFAWhjU35N1u06wXAACg7CWXJg1NXNtRSBBDWUj2iNmqRwwAAEDZKwhiLE3aL0EMZSFZvpZcZwgAAED5SX6Inmw7QSFBDGUhmZom1xkCAABQfrYk+nuqiNk/QQxlIbmO0PbVAAAA5S9ZEaNHzP4JYigLyaVJghgAAIDyV9AjxtKk/RLEUBaSzXptXw0AAFD+NOvtPUEMZWFok6VJAAAAlSb5IfqQJkuT9kcQQ1koaNYriAEAACh7KmJ6TxBDWUierCpiAAAAyl9Bs15BzH4JYigLhUuT9IgBAAAod8lrt+S1HYUEMZSFwma9KmIAAADKnaVJvSeIoSwU9Ijp6IpcLpfSbAAAAOiJZBCT/JCdQoIYysKwRPlaLhexrSOb0mwAAADoiWQQk7y2o5AghrJQLDXdok8MAABAWdtasH21ipj9EcRQFoqtI7SFNQAAQPnK5XLR1qFHTG8JYigLQxoLT1YNewEAAMrXto5sJFt7CmL2TxBDWairyxSEMbawBgAAKF/FrtlsX71/ghjKRjI5VREDAABQvopds6mI2T9BDGUj2dRJEAMAAFC+tnYUXrMVaztBPkEMZaOwIsbSJAAAgHK1ZXv+NVtLY13U1WVSmk3lSDWIWbRoUVx55ZXx8Y9/PF760pfG2LFjI5PJFPy55ZZb0pxmfOpTnyo6r0wmEwsWLEh1btUkuZbQrkkAAADlK3nNNkx/mB4p2bu0ePHiuPvuu2PhwoW7/6xfv75UL99nDz74YHzpS19Kexo1IVkRs0UQAwAAULaS7SSS7SYormRBzNFHHx2tra2lerkB0dXVFeecc050dHSkPZWakAxitlqaBAAAULbaEj1iNOrtGT1i9uGrX/1q3HXXXWlPo2YMSZSxadYLAABQvpIfniev6ShOENONRYsWxYUXXpg3Vlfn7RpMQxvtmgQAAFAptmxPVMTYMalHUo2rZsyYEfPmzYv58+fHvHnzYvz48TF//vw0p7TbeeedF21tbbtvH3nkkTFixIi49dZbU5xVdRvabNckAACASpHcvnpYsyCmJ0oWxMyYMSPmzJkT8+bN2x2+jB8/Pu8xS5YsKdV09um73/1u3HTTTbtv19XVxbe//e342Mc+luKsql/h9tUqYgAAAMpV8sNzS5N6pmTv0gMPPFCql+qXFStWxEc+8pG8sX/8x3+M4447LqUZ1Q7bVwMAAFSO5Ifnlib1jKYnCe9///tjw4YNu29PnTo1LrnkkvQmVEOG6BEDAABQMdq22766LwQxe/nFL34Rv/zlL/PGvvGNb8TIkSNTmlFtSa4n1CMGAACgfCW3r9YjpmcEMTtt2LAh3v/+9+eN/e3f/m285jWvSWlGtcf21QAAAJUjuX11st0ExQlidvrQhz4UK1eu3H17xIgR8Y1vfCPFGdUe21cDAABUjuQ1W7LdBMUJYiLixhtvjMsvvzxv7JJLLolp06alNKPalNw1KbkVGgAAAOVjS7JZrx4xPVLzQUxbW1u8+93vzhs75phj4n3ve19KM6pdQ5vzy9i2bNcjBgAAoFwVLE1qtjSpJ2o+iLngggti0aJFu283NDTEd77znairq/m3puSS6en2zmx0ZXMpzQYAAIB9sX1139R02nDnnXfG1772tbyxD33oQ/GCF7wgpRnVtmLrCS1PAgAAKE9bLU3qk5qtG+ro6Ihzzz03stns7rFZs2bFRRddlOKsIpYtW7bP+1esWFGimZTesCJlbFu2d8Zw5W0AAABlZ0tiadIQQUyP1OwV7he+8IV48MEH88YuvfTSGDp0aEoz2mH69Ompvn6aiu05v3l7Z0xKYS4AAAB0r6MrG9s6snljI1oaU5pNZanJpUmPPPJIXHLJJXljb3rTm+LMM89MaUZERDQ31EdTQ/635KZtGvYCAACUm81FrtVGtNRsrUev1Ny7lM1m49xzz4329vbdY2PGjImvfOUrKc5qj6VLl+7z/hUrVsSxxx5botmU3siWhlizec9/m2InNwAAAOnaXGSXW0FMz9Tcu/TNb34zbr/99ryxf/u3f4tJk8pjAcy0adPSnkKqhjfnBzGbtnWkOBsAAACK2Zi4VquvyxTdgIVCNbU06emnn45PfvKTeWMvetGL4pxzzklpRiQl1xRuKpKyAgAAkK7k6oXhzQ2RyWRSmk1lqakg5j3veU9s3rx59+2mpqa47LLLfLOUkeQOSZYmAQAAlJ/k0iS73fZczQQxP/zhD+OGG27IG/vXf/3XeP7zn5/SjChmeGJNoWa9AAAA5Sd5raY/TM/VRBCzatWq+OAHP5g3dsghh8S//uu/pjQjupM8eTdv1yMGAACg3CTbSAhieq4mgpjzzz8/1q1bt/t2JpOJyy67LJqbm1OcFcWMaFYRAwAAUO6SG6tYmtRzNfFO/exnP8u7/aIXvSiam5vjL3/5S6+Os3HjxqJjxY4zbdq0mt8BqS806wUAACh/yX6eyWs5ulcTQUzSH/7whzjhhBMG5Fj33ntv0WNddNFFcfHFFw/Ia9SSZI8YzXoBAADKT0GzXkuTeqwmliZROZLrCpPlbgAAAKRPs96+E8RQVgq2r7Y0CQAAoOwUBDF6xPSYIIayUlgRI4gBAAAoN5r19l1NvFO5XG5AjrNgwYL4wx/+kDf24he/OG655ZYBOT6FDZ70iAEAACg/ydULmvX2nIoYykrB0qT2zshmByZIAwAAYGAkVy9o1ttzghjKSnJpUi4XsaVdVQwAAEA5KayIEcT0lCCGsjKiubCcTcNeAACA8pJsI1HsWo7iBDGUlWLlbBr2AgAAlI9tHV3R3pXNG1MR03MlC2KWLFkSmUxmn39mzZpV9Lmnnnrqfp+7ZMmSUn0pDKL6ukwMbarPGxPEAAAAlI9iqxb0iOk5FTGUnWTD3uS2aAAAAKSn2Ifltq/uOUEMZSdZ0qZHDAAAQPlI9odpqq+Llsb6bh5NkiCGsjM8sf988iQHAAAgPZu2569asCypd0r2bk2ZMiVuv/32QT3+YHvHO94RCxYsyBubOXPmoL9urRnZklyaJIgBAAAoF8lrNI16e6dk71Zzc3Mcf/zxpXq5QfGOd7wj7SnUhIIeMZYmAQAAlI3kqgX9YXrH0iTKjma9AAAA5St5jSaI6R1BDGVnhB4xAAAAZSu5oUryGo59E8RQdpKNnuyaBAAAUD6S7SP0iOkdQQxlR7NeAACA8qVZb/8IYig7mvUCAACUL816+0cQQ9lJri/UrBcAAKB8JK/R9IjpHUEMZSfZI8bSJAAAgPKRvEZLXsOxb4IYys6oIflpauvWjsjlcinNBgAAgL21bs2viElew7FvghjKzujESdzemY1tHdmUZgMAAMDeNiSCmOQ1HPsmiKHsjB5aeBJv2NqewkwAAADYWy6Xi9a2RBBT5BqO7gliKDsjWhojk8kf29CmYS8AAEDatnZ0RXtX/oqF0UOaUppNZRLEUHbq6zIxIrH9WXINIgAAAKVX7NpMj5jeEcRQlkYPzU9UVcQAAACkL3ltlslEjLBrUq8IYihLyTWGrXrEAAAApC4ZxIwa0hh1dZluHk0xghjKUrK0TUUMAABA+pIfktsxqfcEMZSlZBCjRwwAAED6ilXE0DuCGMpScmlScp96AAAASi/5IfmooXZM6i1BDGUpuf1Zcp96AAAASi/5IbmlSb0niKEsFTbrFcQAAACkLbk0KXntxv4JYihLI5PNeu2aBAAAkLpks149YnpPEENZSpa32TUJAAAgfQU9YgQxvSaIoSyNHqpHDAAAQLkpXJqkWW9vCWIoS8l1hpu2d0ZnVzal2QAAABBRJIhREdNrghjKUrHyto3bOlOYCQAAALsUbl8tiOktQQxlqVgQs6FNw14AAIC0dHRlY/P2/A/IVcT0niCGstTSWB8tjfnfnsn96gEAACidjUWuyVTE9J4ghrI1ekiiYa8gBgAAIDXFPhy3a1LvCWIoW8kT2s5JAAAA6Uk26h3SWB/NDfUpzaZyCWIoW8kSNz1iAAAA0tO6Nf+aLLnbLT0jiKFsJZs+6REDAACQnoIdkyxL6hNBDGWrYGmSIAYAACA1yaVJgpi+EcRQtpJlbnrEAAAApCcZxFia1DeCGMrW6KH5uyat1yMGAAAgNcm+nSpi+kYQQ9kakwhi1m0RxAAAAKRlbeKabOyw5pRmUtkEMZStccPzg5jkSQ8AAEDpJD8cHzesqZtHsi+CGMpW8qRWEQMAAJCegiBmuCCmLwQxlK2xiSCmrb0rtrZ3pTQbAACA2la4NEkQ0xeCGMrWuCLrDddu2Z7CTAAAAGpbNpsrsjRJj5i+EMRQtkYOaYiGukzemOVJAAAApbdxW0d0ZXN5Y2MtTeoTQQxlK5PJFJS6adgLAABQesWuxTTr7RtBDGUtGcSs2yyIAQAAKLXk6oRhTfXR0lif0mwqmyCGspbswm1pEgAAQOmtTXwobllS3wliKGtjE82f1mjWCwAAUHLJjVOS12r0nCCGspZcc2hpEgAAQOklr8X0h+k7QQxlrSCIsTQJAACg5JLNepP9POk5QQxlLbnu0K5JAAAApZf8UDzZz5OeE8RQ1lTEAAAApK8giFER02eCGMrauOH5DaDWbtasFwAAoNTWbNasd6AIYihryXWHW9q7YltHV0qzAQAAqE0qYgaOIIayVuzktjwJAACgdHK5XKxv06x3oAhiKGsjWxqjvi6TNyaIAQAAKJ2N2zqjoyuXN6ZZb98JYihrdXWZgqTVzkkAAAClU+zD8HF6xPSZIIayl1yepGEvAABA6SSvwYY01seQpvqUZlP5BDGUvWRFjKVJAAAApZNclaA/TP8IYih7yS2sV6uIAQAAKJm1mxM7JukP0y+CGMrehGQQs0kQAwAAUCqrNm3Luz1xhP4w/SGIoexNHCmIAQAASMuqxDXYhBEtKc2kOghiKHvJtHXVRkEMAABAqSSvwVTE9I8ghrI3IRnEJMriAAAAGDyrk0uTRgpi+kMQQ9mbmCh7W9/WEe2d2ZRmAwAAUFuS7SGSfTzpHUEMZa9Y2dsaOycBAAAMulwuV7Bz7cSResT0hyCGsjd6aGM01ed/qyabRQEAADDw1rd1REdXLm9Mj5j+EcRQ9jKZTGGfmI36xAAAAAy2Yj06x1ua1C+CGCrC+IKGvSpiAAAABltyx6Sxw5qiqUGU0B/ePSpCwRbWghgAAIBBl7z2siyp/wQxVITkyZ7s2g0AAMDAK9gxSRDTb4IYKkJyC+vkPvYAAAAMvGSPGEFM/wliqAgTR1qaBAAAUGqFS5NsXd1fghgqwoThyV2TBDEAAACDbfVGPWIGmiCGipCsiFmzeXtks7luHg0AAMBASC5NSl6b0XuCGCpCsvytM5uLdW3tKc0GAACgNliaNPAEMVSE8cObIpPJH7NzEgAAwODZsr0z2tq78sYsTeo/QQwVoaG+LsYNa8ob07AXAABg8BS75rJrUv8JYqgYyRK4la1bU5oJAABA9VuRuOYa3twQw5obUppN9RDEUDGmjMoPYla0buvmkQAAAPTXysQ1V/KajL4RxFAxpoxOBDEbBDEAAACDJfnh95TRQ1KaSXURxFAxpozKP+mXW5oEAAAwaJJLk6aMVBEzEAQxVIxkGVyyTA4AAICBk1yFkFylQN8IYqgYyYoYPWIAAAAGz/LENdcBoyxNGgiCGCrGAYn0dfP2zti4rSOl2QAAAFS35E61kzXrHRCCGCrGpCLrES1PAgAAGHhb27tifVv+B9/JD8fpG0EMFaOlsT7GDWvKG1u+QcNeAACAgbZyY+GH3pMtTRoQghgqSsEW1ipiAAAABtyKxIfeI1oaYnhzQ0qzqS6CGCrK5JEa9gIAAAw2jXoHjyCGipJck5hMaQEAAOg/jXoHjyCGimILawAAgMFXUBGjUe+AEcRQUaaMSvaIUREDAAAw0JI71CY/FKfvBDFUlMIgZlvkcrmUZgMAAFCdkjvUWpo0cAQxVJQDRuensG3tXbFxa2dKswEAAKhOyTYQmvUOHEEMFWXSyJbIZPLHntWwFwAAYMBs3t4ZrVs78sZUxAwcQQwVpamhLiaNyP8BsHR9W0qzAQAAqD7LilxjTRujImagCGKoONPH5v8AWLpOEAMAADBQlq7LX3UwcURztDTWpzSb6iOIoeJMGzM07/ay9ZYmAQAADJRkRcz0sUO7eSR9IYih4kxPlMQVK5sDAACgb5IVMZYlDSxBDBVn2lgVMQAAAIMl2Ydz+hgVMQNJEEPFSaaxS9e1RS6XS2k2AAAA1SX5YXeyTyf9I4ih4iTT2C3tXbGhraObRwMAANBTuVwuliU2REn26aR/BDFUnCmjWqK+LpM3ZgtrAACA/mvd2hGbtnfmjVmaNLAEMVSchvq6mDKqJW9MnxgAAID+S15b1WUipoxu6ebR9IUghopUrE8MAAAA/ZO8tpoyakg01osOBpJ3k4qULI2zNAkAAKD/khUxtq4eeIIYKlKyWZSlSQAAAP2X/JBbo96BJ4ihIiW3T7M0CQAAoP+S11a2rh54ghgq0vSxyaVJWyObzaU0GwAAgOrwjK2rB50ghop04Lj8HwbtndlYsXFbSrMBAACofF3ZXCxdl9/2YdZ4QcxAE8RQkSYMb45hTfV5Y0vWbElpNgAAAJVv+Yat0d6VzRs7cNywlGZTvQQxVKRMJlPwA2GxIAYAAKDPlqzNv6Ya0dwQ44Y1pTSb6iWIoWLNGp8fxKiIAQAA6LvkNdXM8cMik8mkNJvqJYihYs1MrFVcstbOSQAAAH21eE3+NdXM8ZYlDQZBDBVrZmJpUrKMDgAAgJ5LXlPNGqdR72AQxFCxkunsM2vbossW1gAAAH2SDGI06h0cghgqVrIipr0rG8s3bO3m0QAAAHSnsysbS9dZmlQKghgq1vjhTTG8uSFvzPIkAACA3lu+YVt0dOWvMEhukMLAEMRQsTKZTGHDXjsnAQAA9NrixIfaI1saYszQxpRmU90EMVS05JpFOycBAAD03tNrbV1dKoIYKtqsRBCzWEUMAABAryWvpZI9ORk4ghgqWnLN4lOrN6c0EwAAgMr15Kr8ayn9YQaPIIaKNmfi8LzbS9e1xbaOrpRmAwAAUJmeSgQxyWstBo4ghoo2O/HDIZuzPAkAAKA3tmzvjOWt2/LGBDGDRxBDRRve3BBTRrXkjSVL6gAAAOhessVDXcbSpMEkiKHiJZNaQQwAAEDPJa+hpo8dGi2N9SnNpvoJYqh4syckghgNewEAAHrsiWR/mAmWJQ0mQQwV7+BJ+T8kkk2mAAAA6F6yImbOJEHMYBLEUPGSae2iNVuiK5tLaTYAAACVpWDHJBUxg0oQQ8VL9ohp78zG0nVtKc0GAACgcrR3ZuPpxPWTHZMGlyCGijdueHOMGdqYN6ZhLwAAwP4tWVu4omC2IGZQCWKoCsnENtlsCgAAgELJD7EnjWyOkS2N3TyagSCIoSrMmTgi7/YTz21KaSYAAACV4/GV+ddOliUNPkEMVeH5k/ODmEdXCmIAAAD257GVG/NuP3/yyJRmUjsEMVSFQxJBzFOrNkdHVzal2QAAAFSGZEVM8tqKgSeIoSokK2Lau7KxeM2WlGYDAABQ/traOwt2TJqrImbQNaQ9gXLQ2dkZTz75ZDz66KOxevXq2LBhQ2Sz2Rg9enSMGTMmZs2aFUcddVQ0NTWlPVW6MXpoU0wZ1RIrWrftHnts5aZ43iRpLgAAQDF/fW5z5PbaMKkuE3HwJD1iBluqQcyiRYti4cKFeX/Wr19f8Libb745FixYMGCv29bWFn/605/i5ptvjptvvjnuv//+2L59+z6f09zcHPPnz4+3vvWt8fd///cxbNiwAZsPA+OQySPyg5gVG+NVLzggxRkBAACUr8dW5PeHmTl+WLQ01qc0m9pRsiBm8eLFcffdd+83dBksW7dujauvvjquvPLKuOaaa6KtrW3/T9rL9u3b49Zbb41bb701/uVf/iU+8YlPxEc+8pGor/dNWi6eP3lk3PL46t23H9OwFwAAoFvJa6ZkywcGR8mCmKOPPjpaW1tL9XIFfvGLX8Rb3/rWATnWxo0b4+Mf/3j86le/iiuuuCJmzJgxIMelf+ZOyf+hkWw6BQAAwB52TEqHHjF7GTp0aEyePDkmTpwYQ4YMibVr18YTTzwRW7duLfr4O+64I0477bT44x//GAccYAlM2pLdvZ/dsDVat3bEqCGNKc0IAACgPOVyORUxKanpIKa+vj5e+tKXxste9rI45ZRT4qijjoq6uvyNpNrb2+PWW2+Nr3/96/HrX/+64BhPPfVUnHHGGXHPPfdo5puyg8YPj8b6THR07ek29fjKTXHsrLEpzgoAAKD8rNq0PTa0deSNqYgpjVSDmBkzZsS8efNi/vz5MW/evBg/fnzMnz9/0F931qxZ8e53vzve9ra37beSpampKU499dQ49dRT46qrroq3v/3tBUusHn744fj3f//3+Nd//dfBnDb70dRQF7MnDM9LdR9Z3iqIAQAASHhkef6ypGFN9TFtzJCUZlNbShbEzJgxI+bMmRPz5s3bHb6MHz8+7zFLliwZ1DnMnDkzPvnJT8Y73vGOaGjo/Zf+6le/Oq666qo444wzor29Pe++Sy65JM4//3y7KaXssANG5QUxDyV+uAAAABDx4LP5BQaHHjAy6uoyKc2mtpQsiHnggQdK9VJFnXnmmXH22WdHY2P/+oW8+MUvjg996EPxxS9+MW98y5Ytcf3118frXve6fh2f/jl86sj4xT17bj/0bHoNogEAAMpV8lrpsANGpTST2lO3/4dUhwkTJvQ7hNnlwx/+cEEvmYiIa6+9dkCOT98dPjX/h8cTqzbHto6ulGYDAABQnh5OrB44YqogplRqJogZSOPHj48XvvCFBeNPP/10CrNhb4dOGRmZvarpurKFncABAABq2bot7fHshvzdgZMfajN4BDF9NGPGjIKxlStXpjAT9jasuSEOGp/fp8fyJAAAgD2S10gtjXUxe4J+p6UiiOmjYsucii1XovSSSa4gBgAAYI+HludfI82dMjIa6l3Plop3uo+K7fA0ZcqU0k+EAocnmkwlf8gAAADUsoefze8Pk7yGYnAJYvpgw4YNcc899xSMz5kzJ4XZkJSsiHl85aZo78ymNBsAAIDykvyw+vCpI1OaSW0SxPTBj3/84+jo6CgYf8UrXpHCbEg69ID8HyIdXbl4bOXGbh4NAABQOza0tcfTa9vyxmxdXVqCmF5qa2uLL33pSwXjI0eOjNNPPz2FGZE0akhjQcPe+5ZuSGcyAAAAZSR5bdTcUBeHTB6RzmRqlCCmly6++OJYunRpwfgHPvCBaG5uTmFGFHPU9NF5t+97ZkMq8wAAACgnySDm8KmjolGj3pJqSHsCleTmm2+Of//3fy8YnzJlSnzsYx8bkNdYtmzZPu9fsWLFgLxOtTtqxuj45b3P7r6tIgYAAKDw2ujoxIfYDD5BTA89++yz8cY3vjGy2cKmr5deemmMGDEwpVzTp08fkOPUumRFzKI1W2JDW3uMHtqUzoQAAABSlsvlCoKYo2aMTmUutUz9UQ9s2bIlXvnKV8aqVasK7nvPe94Tr371q1OYFfvy/Mkjo6kh/9tbVQwAAFDLlqxtiw1t+RvPJD/EZvCpiNmPjo6O+Lu/+7u49957C+6bP39+fO1rXxvQ1yvWf2ZvK1asiGOPPXZAX7MaNTXUxRFTR8XCp9fvHrtv6YZYcMjEFGcFAACQnvuWrs+7PX54c0wdPSSl2dQuQcw+ZLPZeOtb3xrXXXddwX1z5syJ//u//xvwBr3Tpk0b0OPVsqOmjy4IYgAAAGpVchOTo6aPjkwmk85kapilSd3I5XJxzjnnxM9+9rOC+2bMmBG///3vY/LkySnMjJ4q2Dlp6YbIZnPpTAYAACBl9yYb9eoPkwpBTDf+4R/+Ib7//e8XjB9wwAFx4403xoEHHlj6SdEryR8qG9o6YtGazelMBgAAIEVt7Z3x8PKNeWN2TEqHIKaIf/qnf4rLLrusYHzixIlx4403xpw5c1KYFb01dfSQmDKqJW/szsXru3k0AABA9br3mQ3RtdcKgYa6jB2TUiKISfjwhz8cX//61wvGx48fHzfeeGM8//nPT2FW9EUmk4ljZo7NG7t7ybqUZgMAAJCeuxLXQodNHRVDm7SNTYMgZi//8i//Ev/xH/9RMD5mzJj43e9+F4cffngKs6I/jpk5Ju/2XU8LYgAAgNpz95L81QHHHDimm0cy2AQxO33iE5+IL3/5ywXjo0aNit/+9rdx1FFHlX5S9Nv8REXM0nVbY2XrtpRmAwAAUHqdXdm455n8ICZ5rUTpCGIi4sILL4wvfOELBeMjR46M3/72tzF//vwUZsVAeN6kETGiJb/c7m5VMQAAQA15dMWmaGvvyhubP1NFTFpqPoj57Gc/G5/97GcLxkeMGBHXX399HHvssSnMioFSX5eJeYmSu7sWC2IAAIDacWeiP8xB44fF+OHNKc2Gmg5ivvCFL8SFF15YMD58+PC49tpr44QTTkhhVgy0ZMPeOwQxAABADblz8dq828lrJEqrZoOY//f//l984hOfKBgfOnRoXHPNNXHyySenMCsGw3Gz8n/IPLZyU6zdvD2l2QAAAJRONpuLvyzK/zD6mFmCmDTVZBDzta99LT760Y8WjA8dOjSuvvrqeNGLXpTCrBgsR04bHUMa6/PGVMUAAAC14JEVG6N1a0fe2Imzx6U0GyJqMIi59NJL45//+Z8LxocMGRK/+c1v4tRTTy39pBhUTQ11BYnvbU+tSWk2AAAApXP7U/nLkmaOGxoHjB6S0myIqLEg5nvf+168733vKxhvaWmJq666Kk4//fQUZkUpnHBQfuKb/GEEAABQjW5flH/tc8Ls8SnNhF0a9v+Q6nDFFVfEeeedF7lcruC+j3/84zFixIj4y1/+0u/XOfroo6O5WffpcpMsvXtq9ZZ4buO2mDSyJaUZAQAADK7OrmzcmWjLcIJlSakrWRCzZMmSmDVrVp+e25PlQosXL46ZM2d2e/+1114b2Wy26H0XX3xxXHzxxX2aW2/nQToOO2BkjGhuiE3bO3eP/WXR2nj1UVNTnBUAAMDgefDZ1ti81zVQROFqAUqvppYmUbsa6uviuIPy+8T8+Ql9YgAAgOp165P51zzPmzQ8JoywgiNtghhqxomJtZB/fGJ10aVqAAAA1eCPf80PYpLXRKRDEEPNeNHzJuTdfm7j9vjrc5tTmg0AAMDg2bStI+55Zn3e2IsT10Sko2Q9YqZMmRK33377oB5/X77//e/H97///UF7fcrf7AnDYuroIfHshq27x/7419VxyOQRKc4KAABg4N321NrozO5ZAdBUpF0D6ShZENPc3BzHH398qV4OCmQymXjR88bHT+5cunvsj0+sjvNedFCKswIAABh4f/zr6rzb82eOiaFNNbNxclmzNIma8qKD80vx7li8Lra2d6U0GwAAgIGXy+Xij0/kBzHJVg2kRxBDTTlxzvior8vsvt3emY2/LF6b4owAAAAG1pK1bbF03da8seSH0qRHEENNGTWkMY6aPjpv7ObHVqUzGQAAgEFw46PP5d2eMKI55k7RG7NcCGKoOac9f2Le7RsfXWUbawAAoGrclPiw+dRDJkQmk+nm0ZSaIIaac/rc/CDm2Q1b4/HnNqU0GwAAgIGzcVtH3Ll4Xd7Y6XMnpTQbihHEUHMOmTQipo4ekjd246OWJwEAAJXvD4+vzt+2uqEuTp4zPsUZkSSIoeZkMpmCqpjkGkoAAIBKlLy2OeGgcTGs2bbV5UQQQ01K9om5d+mGWLN5e0qzAQAA6L/Ormzc8tf8batfkvgQmvQJYqhJxx80LoY21e++nctF/P4RVTEAAEDlunPxutjQ1pE3dpr+MGVHEENNammsjwWHTMgbu/7hlSnNBgAAoP+S1zSHTx1Z0B+T9AliqFkvO3xK3u1bn1wTrVs7unk0AABA+cpmc3H9Q/lBzMsT1zyUB0EMNevUQyZEU/2eU6CjKxc3P2b3JAAAoPLcu3RDrNqU3/fyzMMmpzQb9kUQQ80a0dIYpxycv43bdQ+tSGk2AAAAfXd94lpmzsThMWfi8JRmw74IYqhpLzs8PyG+5fHVsXl7Z0qzAQAA6L1cLhfXFSxLUg1TrgQx1LSXHjopGuoyu29v78zaPQkAAKgo9zyzIZat35o3lvzQmfIhiKGmjR7aVLA86f/uX57SbAAAAHoveQ1z0IRhceiUkSnNhv0RxFDzXvmCA/Ju//GJ1bGhrT2l2QAAAPRcVzYX1zyY3x/mlUceEJlMpptnkDZBDDXvpYdOiuaG/N2TkusrAQAAytFfFq2N1YndkpIfNlNeBDHUvBEtjXHa8yfmjf363mdTmg0AAEDPXXVf/rXLoVNG2i2pzAliICJelUiM71i8Lp5euyWl2QAAAOzf1vauuPbB/Gr+Vx2lGqbcCWIgIk6bOzFGD23MG/v5wmUpzQYAAGD/fvvIyti8vXP37Uwm4tWCmLIniIGIaG6oj789amre2M8XLouubC6lGQEAAOxb8sPjk+eMjymjhqQ0G3pKEAM7vWH+9LzbK1q3xZ+fXJPSbAAAALq3snVb3Jq4XnndC6elNBt6QxADOx16wMg4fOrIvLEr7l6a0mwAAAC698t7l8XeBfzDmxvizMMmpzchekwQA3tJVsX87uHnYv2W9pRmAwAAUCibzcVP78z/0PisIybHkKb6lGZEbwhiYC+vesEB0dSw57Ro78oWbAcHAACQptsXrY1n1rXljZ19zIyUZkNvCWJgL6OHNhWU811xt92TAACA8vGTO5/Ju/28ScPjhTNGpzMZek0QAwlvmJ/f4OqRFRvjoWdbU5oNAADAHms3b48bHl6ZN/amY2dEJpNJaUb0liAGEk6cPT6mjs7f8u0Hty1JZzIAAAB7+cmdz0RH154uvU0NdfGao6emOCN6SxADCfV1mTj7mPymvVfdtzzWbN6e0owAAAAi2juz8cPbn84b+5sjp8TooU0pzYi+EMRAEW8+bkY01ec37f3fO57ZxzMAAAAG13UPrYhVm/I/IH7XSbNSmg19JYiBIsYPb45XHXVA3tiP/vJ0tHdmU5oRAABQy3K5XHzvz4vzxo6dOTYOnzoqpRnRV4IY6MY7T5qZd3v1pu1xzYPL05kMAABQ0+55ZkPcvyx/E5F3nTwzncnQL4IY6MZhB4yK42aNzRv73p+XRC6X6+YZAAAAg+N7t+ZXw0wdPSReeujklGZDfwhiYB/edXL+essHn22NhU+vT2k2AABALVq+YWtc/1D+ltXvOHFm1NfZsroSCWJgH14yd1JMH5u/lfV3E+syAQAABtMPb386urJ7KvOHNtXHGxI7vVI5BDGwD/V1mXj7CTPzxm54eGU8tXpzOhMCAABqSuvWjvjxX/K3rH79vGkxakhjSjOivwQxsB9vOGZ6DG9u2H07m4v4z5ufTHFGAABArfj+rUti0/bO3bczmYi3nzgzvQnRb4IY2I+RLY3xthMOzBu76r7l8fTaLSnNCAAAqAWbtnXEd/+8KG/srCOmxOwJw1OaEQNBEAM9cO4pB8XQpvrdt7uyufjWzU+lOCMAAKDa/fD2p2Pjts68sQ+cNiel2TBQBDHQA2OHNcVbj8+vivnFPcti6bq2lGYEAABUs83bO+M7f8qvhnnZYZPj+ZNHpjQjBoogBnro3FMOipbGPadMZzYXl/5BVQwAADDw/ucvT8eGto68sQ+crhqmGghioIcmjGiOtxyXXxVz5d1LY/mGrSnNCAAAqEZt7Z3xnT/mV8O8ZO6kOOyAUSnNiIEkiIFeeM+LDoqmhj2nTUdXLr5x0xMpzggAAKg2P7jt6Vi7pT1v7HzVMFVDEAO9MHFkS7zpmOl5Yz+7a2k88dymlGYEAABUk3Vb2uNbNz+ZN7bgkAlx5LTR6UyIASeIgV76x1PnxJDGPTsoZXMRX7jusRRnBAAAVIuv3/hEbNqev1PSh176vJRmw2AQxEAvTRrZEuedMitv7KbHVsVtT61JaUYAAEA1WLxmS/zPX57OG3v1UQeohqkyghjog3e/eHaMH96UN/b5ax+NbDaX0owAAIBK92/XPxade11TNNXXxUfOOCTFGTEYBDHQB8ObG+KDifLAh57dGL+5f3lKMwIAACrZwqfXxXUPrcwbe+dJM2P62KEpzYjBIoiBPjp7/vSYM3F43tiXb3g8trZ3pTQjAACgEmWzufjcNY/mjY0e2hj/eKqdkqqRIAb6qKG+Lj7+sufnjT27YWv8Z6LDOQAAwL78fOGyuPeZDXljHzjt4Bg1pDGdCTGoBDHQD6fPnRjHHzQ2b+yyPz4VT67anNKMAACASrJuS3t84br8apgDxw2Ntx5/YEozYrAJYqAfMplMfObVh0dDXWb3WEdXLi749YORy2ncCwAA7NsXr3s01rd15I19+lWHRVODy/Vq5b8s9NPzJo2Ic085KG/sL4vWxa/ufTalGQEAAJXgriXr4oq7l+WNnXXE5FhwyMSUZkQpCGJgAJx/+pyYOnpI3tgl1zwarYlkGwAAICKioysbn/zVg3ljw5rq48K/OSylGVEqghgYAEObGuLTr8r/gbl2S3t8/tpHu3kGAABQy779x0Xx1+fye0t++IxDYvKolpRmRKkIYmCAvOTQSXHGoZPyxn5299K4+bFVKc0IAAAoR4+u2Bhf/f1f88YOnTIy3naCBr21QBADA+iiVx0WQ5vq88Y+9osHYkNbe0ozAgAAykl7ZzY+dMX90dG1Z3OPTCbiktccHg31LtFrgf/KMICmjh4SF7zi0LyxVZu2x6euejilGQEAAOXk6zc+EY+u2Jg39u4XHRRHzxiT0owoNUEMDLA3HTs9FhwyIW/s/+5fHlc/sDylGQEAAOXg3mfWx7dueTJv7JBJI+JDL31eSjMiDYIYGGCZTCa+9LojY9SQxrzxC379UDy3cVtKswIAANLU1t4ZH77i/sjuWZEUDXWZ+Pc3vCCaG+q7fyJVRxADg2DSyJb4zKvzd1Ha0NYRH/jJvdHZlU1pVgAAQBpyuVxc8KuHYtGaLXnj/3T6wXH41FEpzYq0CGJgkLzqBQfEK46Ykjd25+J18R+/+2s3zwAAAKrRFXcvjV/e+2ze2Aumj45/WDA7pRmRJkEMDJJMJhOXvObwmDp6SN74t255Km5+3JbWAABQCx5dsTEuTGzeMby5Ib529lF2SapR/qvDIBo9tCm++eajo7E+kzf+wZ/dF8s3bE1pVgAAQCls2tYR//jje2J7Z357gn97/ZExc/ywlGZF2gQxMMiOnjEmPnHW3LyxDW07fiBv6+hKaVYAAMBgymZz8bFfPBCLE31h3nHizDgr0cKA2iKIgRJ4x4kz4+WHT84bu2/phvj4Lx6IXC7XzbMAAIBK9dUbn4hrH1yZN/aCaaMKPqSl9ghioAQymUx86fVHxoHjhuaN//q+5fGtW55KaVYAAMBg+M39y+PrNz6RNzaypSG++eYXRlODy/Ba5zsASmRkS2N8+63zY1hTfd74l294PK5/aGU3zwIAACrJfUs3xEevvD9vrL4uE//5lhfG9LFDu3kWtUQQAyV0yOQR8Y03Hx2Z/N698cGf3RcPPduazqQAAIAB8eyGrXHeD+8uaM570SsPjVMOnpDSrCg3ghgosdOePyk+8fL8daFbO7ri7d+7s6CRFwAAUBnWbWmPt373jli9aXve+N8fPyPedsLMdCZFWRLEQArOPWVW/N28aXlja3f+4H5u47aUZgUAAPTFlu2d8c7L74xFq/M/WD1pzri46JWHpTQrypUgBlKQyWTiktccESfOHpc3vmz91njbd++M1raOlGYGAAD0RntnNt77Pwvj/mX5rQbmTBwe//nmF0Zjvctu8vmOgJQ0NdTFZW+dF4dPHZk3/vhzm+JdP7grtmzvTGlmAABAT3R2ZeODP7sv/vTEmrzxqaOHxI/OOTZGD21KaWaUM0EMpGhES2N8/53Hxqzxw/LGFz69Pt5x+Z2xWRgDAABlqbMrG//8s/vimgdX5I2PHdYUPzzn2JgyakhKM6PcCWIgZeOHN8cP33VsTBrZnDd+15L18Y7vCWMAAKDcdHZl459+dl9c/UB+CDO0qT4uf8cxMXvC8JRmRiUQxEAZmD52aPzonONi7LD80sW7nxbGAABAOenoysY//fS+uCYRwjQ31MV33jY/XjB9dDoTo2IIYqBMPG/SiPjJecfHuCJhzFu+85dYu3l7N88EAABKYWt7V7z3RwsLliO1NNbF995xTJw0Z3xKM6OSCGKgjBwyeUT8b5Ew5v5lrfF3/3V7LFvfltLMAACgtrW2dcRbv3tH3PjYqrzxlsa6+N7bhTD0nCAGyswhk0fET95dGMYsWrMlXnfpbfH4yk0pzQwAAGrTytZt8XeX3RZ3P70+b3xXCHOiEIZeEMRAGXrepBFxxXtPiKmj8zutP7dxe/zdf90Wtz65pptnAgAAA+nRFRvjdZfeFn99bnPe+MiWhvifc44TwtBrghgoU7MnDI9f/MOJ8bxJ+R3XN27rjLd978748R1PpzQzAACoDb975Ll43aW3xbMbtuaNTxrZHFe+98SYP3NsSjOjkglioIxNHtUSV7znhJh34Ji88a5sLj75q4fi4t88HJ1d2ZRmBwAA1SmXy8Vlf3gq3v2ju6OtvSvvvoPGD4tf/MOJccjkESnNjkoniIEyN3poU/zPOcfFmYdNKrjv+7ctiXdcfpcdlQAAYIC0tXfGh664P75w3WORy+XfN+/AMXHle0+IaWOGpjM5qoIgBirAkKb6uPQt8+J9p84uuO/PT66JV3z9z7Hw6XUpzAwAAKrHU6s3x9/+563xq3ufLbjvtUdPjR+fe1yMG96cwsyoJoIYqBB1dZn46JnPj/94wwuiqT7/1F25cVucfdlf4r//tChyydgeAADYr6sfWB6v+safC5ryRkT8y8sOiX9/wwuipbE+hZlRbQQxUGFe+8Jp8ZN3Hx+TRuYn8Z3ZXHzumkfjnB/cHas3WaoEAAA9sWV7Z3zs5w/E+//33tiS6AczorkhLnvrvPjHBXMik8mkNEOqjSAGKtC8A8fE1R84JU6cPa7gvpseWxUv/9of46bHnkthZgAAUDnufWZ9nPX1P8XP7l5acN/zJ4+I33zg5DjzsMkpzIxqJoiBCjVhRHP86Jzj4gOnzSm4b83m9njX9++OT/7qwdi8vTOF2QEAQPlq78zGV37313j9f90eT69tK7j/9fOmxa/+8aSYNX5YCrOj2jWkPQGg7+rrMvHhMw6JeQeOiY9c+UCsSeye9OM7nombH1sVn3/tEbHgkIkpzRIAAMrH/Us3xMd+8UA8tnJTwX3Dmurj4lcdFn83f3oKM6NWqIiBKrDgkIlx/T+fEi+ZWxi2LG/dFu+4/K740BX3xbot7SnMDgAA0tfW3hlfuPbReM23bi0awhw9Y3Rc+0+nCGEYdIIYqBLjhzfHd942Py55zeExpEg391/e82yc+v9uiR/eviQ6u7IpzBAAAEovl8vF1Q8sj5f8+x/isj8uimxik9H6ukz80+kHx5XvOSEOHGcpEoPP0iSoIplMJt5y3IFxypwJ8fFfPhC3PbU27/7WrR1x4VUPx//e8Ux8+lWHxXEHFTb7BQCAavHYyo1x8W8ejr8sWlf0/rlTRsaXX39kHD51VIlnRi0TxEAVmjFuaPz43OPiZ3ctjUuueTQ2JRr2PrZyU5z97b/Eq15wQPzrWc+PKaOGpDRTAAAYeK1tHfGV3/81fvSXp6MrWQITEU31dXH+6XPiPS+eHY31FopQWoIYqFKZTCbeeOyMWHDIxPjcNY/E1Q+sKHjMb+5fHjc8vDLefuLMeO+LZ8fYYU0pzBQAAAZGW3tnXH7rkrjsD0/Fxm3Fdw89cfa4+MyrD4s5E0eUeHawQyaXyxXGg5StZcuWxfTpO5pHLV26NKZNm5byjKgUtz+1Nj79fw8XbUwWETG8uSHOPWVWnHPyrBjR0lji2QEAQN9t7+yKn9zxTHzz5qcKdhLdZeroIXHBK+bGyw6fHJlMpsQzpBIN1vW3IKbCCGLoj86ubPz4jmfi33/7eLefEIwZ2hj/sGB2vOW4A2NYs6I5AADKV3tnNn5977PxtRufiGc3bC36mKaGunjvi2fHP7x4dgxpKtzUArojiCEiBDEMjLWbt8d//O6v8bO7lkZnkTWzERGjhzbG206YGe84caYlSwAAlJUt2zvjJ3c+E9/98+JY0bqt28e94ogp8fGXPz+mjx1awtlRLQQxRIQghoH19Not8dXfPxG/vu/Z6O4nQUtjXbzxmBlx7imzYtoYv8AAAEjP2s3b4we3LYkf3P50tG7t6PZxCw6ZEB854xC7IdEvghgiQhDD4Hhs5cb499/+NX73yHPdPqa+LhMvO3xyvO34A+PYWWOtqwUAoGQeXt4a//OXp+NX9z4b2zqy3T7umJlj4qNnPj+OnTW2hLOjWg3W9bcGEEA8f/LI+M7b5se9z6yPb970ZNz42KqCx3Rlc3HNAyvimgdWxCGTRsTfn3BgvOboqTFcHxkAAAbB9s6uuO7BlfGjvzwdC59ev8/HHjNzTLzv1Dnx4udN8IEhZU9FTIVREUMpPL5yU1z2h6fiN/cv77aHTMSOnZZefdQB8Xfzp8cLpo3ySw8AgH574rlN8fN7lsXP714Wa7e07/OxL5k7Kf5hwUEx70AVMAw8S5OICEEMpfXshq3x339aFD+9c2ls7eja52NnTxgWr5s3LV5z9NSYMmpIiWYIAEA1WL+lPX5z//L4xT3L4oFlrft8bENdJl591NR4z4sPiudNGlGiGVKLBDFEhCCGdLS2dcSVC5fG//zl6Viytm2fj81kIk6eMz7+5sgpccahk2OMHZcAAChiy/bOuOmxVXH1A8vjpsdWRUfXvi9NJ41sjjcdOyPedOyMmDSypUSzpJYJYogIQQzpymZz8ecn18SP/vJ03Pjoc7GPVUsRsePTihNmj4tXHDElzjxMKAMAUOu2bO+MGx9bFdc+sCJufnxVbO/svvHuLiccNC7eesKB8dJDJ0VjfV0JZgk7CGKICEEM5WPZ+rb4xcJn4xf3LItn1u27SiZix65Lx80aG6c9f2KcPndSzBo/rASzBAAgbStat8ZNj62Kmx5dFX9+ck2PwpcJI5rjNUdPjb+bNy0OtvyIlAhiiAhBDOUnl8vF3U+vj18sXBbXPLAiNm3v7NHzDho/LE57/sQ49fkTY96BY6KlsX6QZwoAQCl0dmXj/mWtccvjq+LGR1fFIys29uh5TQ11ccahk+J186bFKXPGR4PqF1ImiCEiBDGUt20dXfG7R56La3pRahqx45fu/APHxElzxseJs8fFEVNH+cULAFAhstlcPP7cprj1yTVx21Nr487F62JzDz+cq6/LxIk7l7K//IgpMWpI4yDPFnpusK6/GwbkKAAR0dJYH698wQHxyhccsLv52rUP7ghltnV0H8q0d2bjtqfWxm1PrY2IiBHNDXHcQWPjhNnjY/6BY+LQA0ZaDwwAUCa6srl4YtWmuHvJ+rh90dr4y1Nr97vN9N4a6jJx4pzx8YojJtvcgZokiAEGxbDmhrxQ5s9PrombHl0VNz2+KlZv2r7P527a3hm/f3RV/P7RVRER0dxQF0dOGxUvPHBMvHDGjj8TRjSX4ssAAKh5rW0dce/S9XHP0+vjnmc2xH1LN/S44mWXkS0NseCQiXH63Inx4udNiNFDhS/ULkEMMOiGNTfEmYdNjjMPmxzZbC4eXr4xbnzsubj5sVXx4LOt+919aXtnNu5asj7uWrJ+99j0sUPiyKmj49ADRsZhB4yMww4YJZwBAOin1raOeHhFazyyfGM89GxrPLR8Yzy5anOfjnXIpBGx4JAJcdrOnoCWnsMOghigpOrqMnHEtFFxxLRR8c8veV60bu2IOxbtWJZ065Nr4oke/qJfum5rLF23Na55cMXusUkjm+OwA0bFYQeMjOdPHhkHTxoeM8cNi6YGv/QBAPbW2ZWNZ9a1xROrNsdfV26Kh5a3xsPLN8ay9Vv7fMzpY4fESbPHx4lzxscJB43zIRl0QxADpGrUkMY447DJccZhkyMiYtWmbXH7U2vjtifXxt1Pr4unVm/p8bGe27g9ntu4Km56bNXusfq6TMwcNzQOnjgiDp40POZMHB6zJwyPGeOGxsgWzeAAgOrW1t4Zz6xri8Wrt8QTqzbv+PPcpli0Zku093Bjhe5MGzMk5h04Jk6cPS5OnD0+po8dOkCzhuomiAHKysQRLfHqo6bGq4+aGhERG9ra495nNsQ9z6yPe55ZH/c9syG2tHf1+Hhd2Vw8tXpLPLV6S1z/cP59Y4c1xYyxQ+PAcUPjwLFDY8a4YTFz3NCYMW5oTBjeHJlMZiC/NACAAZfL5WJDW0csWbslnlnXFk+v3fHnmXVbYsnatv325uuppoa6OHLq3j37RsfEkS0DcmyoNYIYoKyNHtoUpz5/Ypz6/IkRsSNYeXzlpnjw2Q3x8M61y4+u2BRbO3oezuyybkt7rNvSHvct3VBwX3NDXUwZ1RJTRg2JKaNbdv/7gNEtMXnkjr9HDWkU1gAAg2rTto5Y0bptx58NW2P5zr9XbtwWyzdsjRWt26KtFx9S9URTfV0cMnnEzj58I+OIaaPj0CkjLfeGASKIASpKfV0mDj1gZBx6wMjdY13ZXCxesyUe3rm2+dEVG+OJ5zbHyo3b+vw62zuzsWRtWyxZ29btY5ob6mL88OYYN7xpx9/DmmL8iB1/TxjRnHff6CGNGtRR0XK5XHRlc9GZzUVHVzY6u3LRkd3x997/7ujKRmc2F51d2ejoykXnXuNd2Vx07LyvJ8/pyuYim4vI5nKRze11O7vzdi63898RXbnc7jnmPyb2Gs9FNrvjsdm9n7vrvtye50ZE5Pb62vf8e+ffO0d2387lv1f5z9/znD3/LnxeJhORiYi6TGb3vzM7/123998REXv9e9d9EYnHZXY+f+ex9378jufv+Jlal8lEfV0mGvb6d93O2/WZHf+uz2Sivn7n3zsf11C/6/Gxc7wu6uti93N3HWv3n72O1VCfiYa6umioz0Tjrn/XZaKhfufYXvfV77yvMXHfrmPU1wnEqSwdXdlo3doRG9o6Yn1be6zZtD3WbN4eqze3x5rN23ffXrPz9kCHLEnjhzfF7AnDY+6UPRsgHDxpeDT6/xYYNIIYoOLV12VizsQd/V92LWmKiNi4rSOeXLU5nnxuczyxatPONdGbY3nr1ryLn77a3pmNZzdsjWc39Kyp3bCm+hg1pDFGDmmMUXv9Sd4e1twQw5rqY2hzQwxtqo+hTfUxrKkhhjbXR1N9nSqcCtKV3XcwsXeo0ZndcX9XkbHdf+f9O9tNKJLdE3Zk9/ecwlAk7/k7x3fMaQBOGhgEmUzsCWf2Cmwauhury+wMefaEP42J+xrq66Jx93173b9XcNS483HJ4zcmnp8MlvYcp/D1G+szfsaXuc6ubGzZ3hWb2zujbXtnbN7eGVu2d8WW9s7Ysr0ztrR3xeZtnbFha3ts3Bm2bGjriA1bO3bebu/VEuuBNHFEcxw8aXgcPHFEzJk4PA6eODwOnjQixg6zjTSUmiAGqFojWxp3rmEekze+vbMrlq3fGk+v3bLXOuq2eHrtlli6bmu0d/WvcV13trR3xZb2rlje2vdKnYa6zM5wZkcwM6ypIYY01UdzQ100N9RFU0NdNDfsCGyaG+t2/93cUL/zvh2Paayv2/2p9K5Pwnd9mr3r0+c94/l/dn4ev/sT+L0vGfZcP+zrMTtu7asioSu7o7ph73935RKVDjufu/d9XbvChJ2VG51de93eFUxk9woo8sKKve/L5o8VPeae5+6u9tjreB3Z7IAEfsC+5XIR7V3ZSOnadsDt+tlbGO7sVQ1UVxeNDbvCnm5CpbwAqJv79xkq7QiF6jKZqMvsqHTa/e+dFVe7qpzqdlZf1e98/K4KrLqd1VKZvZ7XfaVZfsVYspIseTuby+0Orzt3Bsa7flZ37fz5vCtE3vt2e2c2tndmY3tH146/O7OxvbMrtnfs9e/O7M7bXbGtIxtb2jujrb0rNm/v7Hdz28FUX5eJaWOG7O5/N3PcsJ3/3vH3kKb6tKcI7CSIAWpOc0N9zJ6wY/ekpK5sLlZu3LH2esd67K2xfMO2WLnr363bYs3m7aldYHdmc7FxW2ds3NaZzgQAGFRdOwOD7WV8wU86xg1rism7+teNaokpo1vigFFDYvKoHX8fMLrFMmioEIIYgL3U12Vi6ughMXX0kG4f096Zjec2bstbv712r3/vuL3j3+vbOko4e0jfvpZ45Pf32M+n+XtXYe3sQ1K3+9P5vW7v/DR+16fu9XX5n97X7/rkften+Xs9Pu/2rtfJ7Pp0f9dXtKe6a9fQrqquPbdjr8fkl4EVe86eSrH8yrFdn/LnYsffkdvx6X82G7vHcrk9lQR7Pz63677E4yPvMfmPz2Z39NDZ8XdudwCwq0KtM7vzMYn7d1Wk7b5/5zF2VCXE7vu79npudtfj97ovr4JMVRk1alhTfYzf2Vdu/M6+cuOHN8f4Ec0xYeftCSOaY9LIlmhpVNEC1UIQA9BLTQ11MX3s0Jg+duh+H9vRlY31W9p3rw1vTfzZuLVzr393xMZtHTtKoHeuN9/W4RPRatfjZQj76EdRX9d9v4l9Pb8wFNkrQNnvcwqXPewKM2Cg7Fp2kmwK3ZlN9FHK62dUeF/h47N5yw3z+zd131epsG/Trvv38di9+i5lBUtVZ0hjfQxrro9hzQ0xtKkhhjfvWD48emhjjB7SGKOGNsWoITv+PXrojj87esLtGLcLEdQmQQzAIGqsr4uJI1ti4siWPj2/K5uLrR1d0bazAeCW7TvWqbftXK++ZXtnbO3o2rPmvTO78997xpK3t3dm96yh78r/tLuza69PunM7Lhx23d71uIgY0E+pd/USSFYu5FUxZDJ5O7zU5VVHxJ6dXjKZ3cFEw17BRMPOsCPZwHPPfUXGdt3eKwzZu8qj2DEbuwlKuq0KEVzAPu2oiqqP5ir5P9Zstvvdxrpr4L2/Ztr73q2s76FS184qq11VULsqqvbuz7Xr9q779t7BbFePr/7aewexiD1VZfV1e3bN2v1zf+ftXT9f9+55tndo3dxQv7N/2s5/N+zpp9bcUBctjfm913Y1zB/e3LCzoX5DDNsZuNi1C+iLKvm1BlCd6usyMby5IYZXwFVILhHS5BLj+WOxewmJIAKoFXV1mWiuomCpJ3aFMrtCm72X8OVt077z8Rm/F4AaUEO/BgAYTLs/rSz4/2f/Qw1Qq3b0Xoqoj0xocQKwg0WJAAAAACUiiAEAAAAoEUEMAAAAQIkIYgAAAABKRBADAAAAUCKCGAAAAIASEcQAAAAAlIggBgAAAKBEGtKeQLlZtmxZ3H///bF48eLYuHFj1NfXx+jRo+N5z3tevPCFL4xRo0alPUUAAACgQqUaxCxatCgWLlyY92f9+vUFj7v55ptjwYIFgzaPzZs3x3e/+9347//+73jooYe6fVxDQ0O8+MUvjn/4h3+I1772tZHJZAZtTgAAAED1KVkQs3jx4rj77rv3G7qU2lVXXRXve9/74tlnn93vYzs7O+PGG2+MG2+8MY477ri4/PLLY+7cuSWYJQAAAFANShbEHH300dHa2lqql+uRz3zmM3HxxRdHLpfr9XPvuOOOOO644+JnP/tZvPzlLx+E2QEAAADVpmab9X7+85+Piy66qGgIk8lkYs6cOXHqqafGySefHJMmTSp6jE2bNsVrXvOauOWWWwZ5tgAAAEA1qMkg5re//W1ccMEFBeN1dXVx/vnnx+LFi+OJJ56Im266Kf70pz/FypUr4/bbb48zzjij4Dnbt2+Ps88+O5YvX16KqQMAAAAVLNUgZsaMGfGa17wmLrnkkrj++uvj7rvvHvTXbGtri/POO6+gEqalpSWuvvrq+NrXvhYHHnhgwfOOP/74uOGGG4oGOKtWrYp/+qd/GrQ5AwAAANWhZD1iZsyYEXPmzIl58+bFvHnzYv78+TF+/Pi8xyxZsmTQ5/Ef//Ef8cwzzxSMf/vb3+5Rr5fPfvaz8eyzz8bll1+eN/7zn/88brvttjjxxBMHbK4AAABAdSlZEPPAAw+U6qW6tXXr1vj6179eMP6yl70s3vrWt/b4OF/5ylfimmuuiVWrVuWNf/GLX4zf/OY3/Z4nAAAAUJ1qqkfMr371q1i9enXB+MUXX9yr44waNSo++MEPFoxfc801esUAAAAA3aqpIOYnP/lJwdiRRx4Zxx13XK+P9a53vSvq6+vzxrLZbPz0pz/t8/wAAACA6lYzQUx7e3vcdNNNBeOve93r+nS8iRMnximnnFIwft111/XpeAAAAED1q5kg5o477oi2traC8dNPP73Pxyz23D//+c/R0dHR52MCAAAA1atmgpi77rqrYKyhoSHmzZvX52Mee+yxBWPbtm2Lhx9+uM/HBAAAAKpXzQQxxXZtmj17drS0tPT5mEceeWTR8fvvv7/PxwQAAACqV80EMU899VTB2Jw5c/p1zMmTJ8ewYcMKxhctWtSv4wIAAADVqWaCmCVLlhSMTZ06td/HPeCAA3r0WgAAAAANaU+gVFavXl0wNmnSpH4fd/LkyfHEE0/s97V6atmyZfu8f8WKFX0+NgAAAJCumghi2traYvv27QXjo0aN6vexR44cWTC2du3aPh9v+vTp/ZkOAAAAUMZqYmnS5s2bi44PHz6838cu1iNmy5Yt/T4uAAAAUH1qoiKmo6Oj6HhDQ/+//MbGxoKx9vb2Ph9v6dKl+73/xBNPjAjLlAAAAGCw7H3N3dnZOWDHrYkgpqurq+h4fX19v49d7Bj9+Q80bdq0fd6/9zfCscce2+fXAQAAAHpm9erVMXPmzAE5Vk0sTequ8mUgEq1ixyhWJQMAAABQExUxzc3NRcf7s4RoX8fo7vUGwhFHHBF33nlnRERMmDBhQJZXUR1WrFixu0rqzjvvjClTpqQ8I6g9zkNIl3MQ0uc8pJp0dnbu3hX5iCOOGLDj1sRV/IgRI4qOb9q0qd/HLnaMYjspDZSWlpY45phjBu34VIcpU6bsd5kbMLich5Au5yCkz3lINRio5Uh7q4mlSU1NTUV3SNqwYUO/j13sGOPGjev3cQEAAIDqUxNBTETE5MmTC8ZWrlzZ7+MWO0ax1wIAAAComSBm1qxZBWPPPPNMv47Z1dUVy5cv79FrAQAAANRMEHPwwQcXjP31r3/t1zGXLFkSHR0dPXotAAAAgJoJYo4++uiCsWXLlsW6dev6fMx777236PhRRx3V52MCAAAA1atmgpjjjjuu6Phtt93W52PefvvtBWPjx4+Pgw46qM/HBAAAAKpXzQQxhx9+eEyaNKlg/IYbbujzMYs99/TTT49MJtPnYwIAAADVq2aCmEwmE3/zN39TMP7zn/88urq6en28hx56KB5++OGC8Ve96lV9mh/017Rp0yKXy0Uul4tp06alPR2oSc5DSJdzENLnPIT9q5kgJiLi7//+7wvGVq5cGVdeeWWvj/XNb36zYGz48OHx6le/uk9zAwAAAKpfTQUxL37xi+Pwww8vGL/wwgujvb29x8d5/PHH43vf+17B+Dvf+c4YNmxYv+YIAAAAVK+aCmIymUxccMEFBeNPPPFEfOhDH+rRMdra2uItb3lLwbbVLS0t8ZGPfGRA5gkAAABUp5oKYiIizj777Hjxi19cMP6f//mf8eEPfzg6Ozu7fe6aNWviFa94RSxcuLDgvo997GMxY8aMAZ0rAAAAUF0yuVwuV4oXWrJkScyaNWvQjr948eKYOXNmj+dy9NFHx4YNGwruO/TQQ+ODH/xgnH766TFt2rTo6OiIJ554Iq666qr42te+FuvWrSt4znHHHRd/+tOforGxsZ9fBQAAAFDNajKIiYi46aab4hWveEVs27atX6970EEHxR//+MeYOnVqv44DAAAAVL+aW5q0y2mnnRbXXXddjB8/vs/HeOELXxi33HKLEAYAAADokZoNYiIiFixYEPfdd1+84Q1viEwm0+PntbS0xAUXXBC33nprTJ8+fRBnCAAAAFSTki1N2r59e9x7772Ddvyjjz46mpub+/z8Rx99NL773e/G9ddfH48++mhks9m8+5ubm+OYY46JV73qVfHOd76zX5U0AAAAQG0qWRBTSbZt2xbPPPNMbNq0Kerr62P06NExffr0qK+vT3tqAAAAQAUTxAA9ks1m4/77749HHnkknnvuuWhra4uhQ4fGpEmT4rDDDosjjzwy6uoqa7VjR0dH3HPPPfHYY4/F6tWrY9u2bTF8+PA44IAD4ogjjoi5c+emPUWIjRs3xiOPPBJPPfVUrF+/PjZu3BgtLS0xZsyYGDt2bBx55JGD2gwfqG7V+PsdoOzlYJBddNFFuYgY9D8XXXRRn+e4atWq3HXXXZf73Oc+l3vNa16Tmz59+oC/RjGD9d4MpEceeST3nve8Jzdu3Lh9vua4ceNy733ve3OPPvrogL7+YLjjjjtyb37zm3MjRozY59d0wAEH5D760Y/mnnnmmbSn3C/Owe6V4zn4zDPP5C6//PLc2972ttzMmTN79HqTJk3KvfGNb8zdcsstA/TODIzFixcPyvt7+eWXp/2l9ZrzsHvldB7W0vdsNf5+3xfnYPfK5Rx8+9vfXpL/RqU+H2+++eZB+Tpuvvnmkn4dDKyGgBqzZs2auPvuu2PhwoWxcOHCuPvuu2Pp0qVpT6vsbN++PT7+8Y/HN77xjejq6trv49euXRv/9V//Fd/5znfi/PPPjy984Qv96ts0GDZs2BAf+MAH4n/+53969Pjly5fHl7/85fjmN78Zn/rUp+LjH/94rxp7U5xzsNDTTz8dV1xxRVx55ZVx11139fr5zz33XPz0pz+Nn/70p3HEEUfEZZddFieccMIgzJRq4TysXdX4+70SOQehtgliqBoHH3xwjx537rnnxlVXXTXIs6lsa9eujZe//OV9uiDs6uqKr3zlK3HrrbfGtddeG+PGjRuEGfbeokWL4swzz4wnn3yy18/dunVrfOITn4jbbrstrrzyymhpaRmEGVY+52DfnXPOOXHjjTcOyLEefPDBOPnkk+OjH/1ofOELXxAe1hjnIftSjb/fy41zsPz19L8RDCZBDFVh1KhR8drXvjbtaVSFzZs3x0tf+tJudzkbMmRIHHrooTF69OhYv359PPLII7Ft27aCx915551xxhlnxB//+McYNmzYYE97n1asWBGnnXZaPP3000XvHzFiRBx66KExfPjwWL16dTz66KPR0dFR8Lirr746Xve618VvfvMbzbsTnIODb/z48TFx4sSYOHFitLe3x3PPPReLFi2KXJFWb9lsNr70pS/Fxo0b41vf+lYKsyUNzkP2pRp/v5cb52D5O+SQQ+Kkk05KexogiGHwnXvuufGyl71sQI714IMPxrvf/e6C8Te/+c0xZMiQAXmNtJ1zzjlx7rnnpvb673nPe4r+T9rUqVPjc5/7XJx99tl573VbW1v89Kc/jU996lOxfPnyvOfcc8898Z73vKfHS4EGQ1dXV7zxjW8sGsIccsgh8YUvfCFe+cpXRkPDnh+HGzZsiMsvvzw+/elPR2tra95zrr322rjooovic5/73KDPfaA4B3sn7XNwl3HjxsXrX//6WLBgQZxyyikxderUgsesWbMmfvnLX8aXv/zlotVel156aUybNi0+8YlPlGLKPTJ58uT41a9+1a9jzJ49e4BmUzrOw94pl/Mwonq+Z6vt93tvOQd7J41z8FOf+lS8973vHZBj/fa3v42LLrqoYPxd73rXgBy/v44++uh+f1By6KGHDtBsSIMghkE3bdq0mDZt2oAc63//93+Ljvf3h+rYsWNj3rx5u//Mnz8/FixY0G0FxWCaNm1aHH/88SV/3YgdFR/F3uN58+bF9ddfH+PHjy+4b+jQofGud70rXvnKV8aZZ55Z8D95P/7xj+PNb35znHXWWYM273259NJL449//GPB+FlnnRVXXnllDB06tOC+0aNHxwc/+MF41ateFaeffnrB98EXv/jFeMMb3hBHHnnkoM17IDkHeyfNczAi4swzz4xzzz03XvWqV0VTU9M+Hzt+/Ph497vfHW9729vigx/8YPzXf/1XwWM++9nPxpve9Kay2Vmpubk51fc3Lc7D3kn7PNxbNXzPVuPv995yDvZOGufg7NmzByy0/PznP18w1tDQEG9729sG5Pj9NXLkyIr/uUL/CGKoGNu3b48f//jHBeNHHnlkzJ8/v8fHGTt2bLzkJS/Z/Qtu3rx5ZXOBkqZsNhsf/vCHC8anTJkS1157bdH/SdvbhAkT4rrrroujjjoqVq5cmXffhz70oXjZy15W8u0vN23aFBdeeGHB+OGHHx4///nP9/up1ezZs+O6666L+fPnR1tb2+7xrq6u+MhHPhK//e1vB3zO5cw5OHgymUycddZZ8elPf7pX7+UuLS0tcemll0Yul4vLLrss775t27bFZz7zmbj88ssHarqkyHlIb1Xj7/c0OQfL38qVK+O6664rGD/rrLNi8uTJKcwICgliqBi//vWvY926dQXjvf304Xvf+95ATamq/PKXv4y//vWvBeNf+cpXYuLEiT06xqRJk+IrX/lKvOlNb8obf/zxx+PXv/51yddNX3bZZbF+/fqC8e985zs9Lh2eO3dufOpTn4p//dd/zRv/3e9+FwsXLox58+YNyFwrgXNw8Hz/+98vuvSot7761a/GDTfcEEuWLMkbv+qqq6KzszNvCR6VyXlIb1Xj7/c0OQfL3w9+8IPo7OwsGC+XZUkQEVE78TUVr9gvrKampvj7v//7FGZTfb797W8XjM2dOzfe8IY39Oo4Z599dsydO7dHxx9s3/nOdwrGXvayl/W6FPT888+PsWPH9uj41cw5OHgGIoSJ2FEZc/755xeMr1+/Pm6//fYBeQ3S5Tykt6rx93uanIPlr1gF6KRJk+IVr3hFCrOB4gQxVISlS5fG73//+4Lxv/3bv7V94gBYtWpV3HTTTQXj5513Xq+3vs1kMnHOOecUjP/+97+P1atX93mOvbVw4cKinwAWa663P0OHDo03v/nNBeNXXnll0U9cqpFzsHKcccYZRcfT6DHAwHIe0lvV+Ps9Tc7B8nfrrbfG448/XjD+9re/XVUoZUUQQ0X4/ve/H9lstmBcieHA+O1vfxtdXV0F430tNX79619fMNbV1VXSnirF1gYPGTIkXv7yl/fpeMW+pnXr1sUdd9zRp+NVGudg5ZgxY0bR8WRvByqP85Deqsbf72lyDpa/7pZ8+W9EuRHEUPZyuVzREsPp06fHS1/60hRmVH1uvvnmgrE5c+bEgQce2KfjHXjggUW73hf7VG6wFPuaTjrppGhpaenT8U444YSifWVK+TWlxTlYWRobG4uO11IzzWrkPKQvqvH3e1qcg+Vv8+bNccUVVxSMn3TSSXHIIYekMCPonv8ro+zdfPPNsXjx4oLxd77znS4sBshdd91VMHbcccf165jHHntswdjChQv7dcyeyuVyRV+rP19TU1NTHHXUUQXjpfqa0uQcrCzJRr27TJkypbQTYUA5D+mLavv9nibnYPm74oorYvPmzQXjxZbUQdoslKPsFSsxzGQy8c53vjOF2ZROLpeLtWvXxpo1a6KtrS1Gjx4dY8eOjVGjRvV6Xfe+dHR0xKOPPlowfvjhh/fruEceeWT85Cc/yRt75JFHSrJzy9NPPx2tra0F4wPxNSUbnt5///39OmYlcA4O7jk40Lr7ZHrOnDklnsn+bdmyJVavXh3r1q2LoUOHxpgxY2Ls2LHdVvXUMudheZyHlfQ9W42/39PkHCyPc3Bfiv03Gj58eK8bU5faxo0bY/Xq1dHa2hrDhw+PsWPHxujRo6v6fEIQQ5lrbW2NX/7ylwXjp512WsycObP0EyqBG2+8Me6+++647bbbim693NLSEsccc0ycdNJJceaZZ8aCBQv69XrPPPNM0Yaz/b1oK1a63NHREUuXLo1Zs2b169j789RTTxUdH4yvaenSpVX9P5/OwcE/Bwdad7tFlMtW662trXHOOefEn//856INtSMinve858XJJ58cL3rRi+J1r3tdDB8+vMSzLC/Ow3TPw0r9nq3G3+9pcQ6W/+/Cv/71r3HrrbcWjJ999tkxbNiwFGa0b08//XS85S1viT//+c/xzDPPFNxfV1cXhx9+eJx00kmxYMGC+Nu//dtoampKYaYMFnV0lLWf/OQnsXXr1oLxai4x/POf/xzXXHNN0V96ERHbtm2LP/3pT/HFL34xTj311HjBC17QbfO4nuhuGUN/t9Pt7vndvd5AKuXX1NXVFUuXLu3XccuZc7DQQJ+DA+nqq6+Ou+++u2D81a9+ddmUzm/YsCG+973vdXtBG7Hjf6i/973vxTve8Y6YNm1afPSjH40VK1aUcJblxXlYqJTnYaV+z1bj7/e0OAcLldvvwu6a9Jbrf6MlS5bE//7v/xYNYSIistlsPPDAA3HppZfG2WefHQceeGB89rOfLVrxTWUqj/8rg25897vfLRgbM2ZMvOY1r0lhNuXpgQceiHe+851x+umnx7Jly3r9/O62nJw0aVK/5jV58uRevd5AKvYamUwmJk6c2K/jpvk1pcU5uH/9PQcHyubNm+P8888vGK+vr48PfvCDKcxoYLS2tsb/+3//L4444oi46qqr0p5OKpyH+1cu52FE+XzPVuPv97Q4B/cvzXOwq6srfvjDHxaMz507N0444YSSzmWwrFy5Mi688MJ4wQteULTyh8ojiKFsPfTQQ0U/2X3zm9/c551vqtktt9wSL3jBC+LOO+/s1fPWrVtXdHzUqFH9ms/IkSOLjq9du7Zfx+2JYl/TsGHDor6+vl/HTfNrSoNzsHf6eg4OlPPPP79oI8n3vve9/7+9ew+KqnzjAP4scROBBZQUoVCLvJBoMuJQAXIR8IKjaGVDjjKWNo4zVtOYjZWjZmZmiTVa02AxXgYG0cIrjooKmqZclPEWpkEpIrCA3K/v74/f0FjnXdzdc+X4/cz4z7ud933e5Xz3bO85ew6NHDlShYqkVVNTQzNnzqSPPvpI7VIUhRxaR+0cPkztfVaPx3c1IIPWUSODhw4d4l6BpsdHVpeVlVFERAR9//33apcCIunzpgagC7yzD0T6/FAl+v/jD2NjY2nixIk0evRoGjZsGLm7u5OzszPV1tZSVVUVXbx4kU6ePEkZGRnU3Nws6MNkMtH06dPp7NmzFv8GnHd3eSIS/ft2c7/HbWpqEtWvJXhzkuL3+mrOSQ3IoDIZlMIPP/zAvTeMv78/ffbZZ4rV0RsXFxcKDw+nyMhICgwMpJEjR5Knpye5u7tTc3Mz1dbW0rVr1+jMmTOUkZFBpaWl3H7WrVtH3t7etGzZMoVnoA7kUL0c9vV9Vo/HdzUgg9o/FvJ+lmRvb0/z5s2TfWxrGY1GioqKovDwcAoMDKTnnnuOjEYjubq6UmNjI5lMJiopKaH8/HzavXs33b17V9BHV1cXLVmyhLy9vSkxMVGFWYAkGIAGtbW1sYEDBzIi+te/cePGKVaDv7+/YPxVq1ZJOsbmzZvZkiVLWGFhoVXbmUwmtnz5cmZnZyeokYjYiBEjWHt7u0V9ffrpp9w+Ojs7bZnSPzo6Orj9rlu3TlS/lnjzzTcF4/r5+Ynut7S0lDunXbt2SVC1tiCDvZMyg2Ll5uYyBwcHQQ329vYsLy9PkRrMKSsrY5MnT2YZGRmstbXV4u26u7vZ3r172ZAhQ7jvr8FgYLm5ufIVrhHIYe/kyKGe9lk9Ht+Vhgz2TgvHwsrKSu4xcObMmbKOa438/Hw2a9YsdvDgQavy197ezlJTU5nRaOS+v87OzuzGjRsyVg5ywkIMaFJmZib3A+ebb75RrAYlDnxinThxgvXv35/7XqWkpFjUx+rVq7nbi9Xd3c3td/Xq1aL7fpTk5GTBuP7+/qL7vXXrFndOaWlp4ovWGGTQMlJkUIzLly8zT09P7vibNm2SfXy51dTUsLCwMO78goODWXd3t9olygo5tIzaOXyYlvZZPR7flYYMWkbNDG7cuJE77v79+2UdV0llZWVs1KhR3HnOmjVL7fLARrhHDGgS7xJDJycnSkpKUqEa7YqMjKSsrCzu01DWrFlDra2tj+zD3GOXeY+8tIa57R0cHET1awnenMTOp7c+lJiT0pBBy0iRQVvdvHmT4uLiuE+0WLp0Kb333nuyja0ULy8v2r9/PwUGBgpeKygooD179qhQlXKQQ8uomcP/0tI+q8fju9KQQcuomUHez3J9fHxoypQpso2ptKeffppycnLIx8dH8Nq+ffvowoULKlQFYmEhBjTnzp07dPToUUH7rFmzyNPTU4WKtC0uLo4WLFggaK+pqaGTJ08+cnsnJydue3t7u6i6zG1vbjwp8cYQO5/e+lBiTkpCBq0jNoO2KCsro+joaO7NCRcsWEBbtmyRZVw1GI1G2rp1K/e1rKwshatRDnJoHTVyaI5W9lk9Ht+VhAxaR40Mnjt3jq5evSponz9/vugHNGjNU089RRs2bOC+pudjoZ5hIQY0Jy0tjbq6ugTtCxcuVKGavuHjjz/mth86dOiR27q5uXHbGxoaRNVkbntzT1uQEm9OYufTWx9KzElJyKD1xGTQWnfu3KGoqCgqLy8XvDZ37lxKTU0lg8Eg+bhqCg8Pp4iICEH70aNHufuqHiCH1lMyh4+ihX1Wj8d3JSGD1lM6g7wrloj0eyPlN954g4YNGyZoV+MzDsTDQgxojrknf0RHR6tQTd8wdOhQ7mXQllyqOGDAAG57XV2dqJrMbW9uPCnxxmhtbaW2tjZR/ao5JyUhg9YTk0Fr3Lt3j6KioujWrVuC1xITE2nHjh3cS8P1YPr06YK22tpaunnzpgrVyA85tJ5SObSU2vusHo/vSkIGradkBpubmykjI0PQHhYWRgEBAZKPpwUGg4GmTp0qaC8pKVH0J5ggDX1+W4M+69SpU9wvKMnJybo7wyu14OBgQVtlZeUjtxs8eDC3/d69e6LqMbe9ufGkpMc5KQUZtJ2tGbTU/fv3KSoqin7//XfBawkJCZSenm72nhB6wHt/iaR9j7UCObSd3Dm0htr7LI6FtkMGbadUBjMzM+nBgweCdr1fsWTuc+X+/fsKVwJiYSEGNIV3iaGdnR0lJyerUE3f8uSTTwraLPlQ5l3iSETcnz1Yw9z25saTkpJzcnZ21tWXT2TQdrZm0BJVVVUUFRVF165dE7wWHx9PmZmZurxR5sN47y+RPr98Ioe2kzOH1lJ7n9Xj8V0pyKDtlMog72/k7u5Or7zyiuRjaYnanysgHSzEgGY0NDRwnyYQHR1NTz/9tAoV9X2W3JDPx8eHXF1dBe28s+7WKC0tFbS5ubnRoEGDRPVrCXOXpMoxp2effVY3Z8eQQelJcZPo6upqio6OpitXrghei4mJoX379unuJpnWkOI91hLkUHpa20eUqkePx3clIIPSk3qf/+OPPygvL0/Q/tprr5GLi4ukY/UVWvucg0fDQgxoRnp6OjU3Nwva9X6JoVR4K+GW3DjPYDDQ2LFjBe2XLl0SVU9RUZGgbezYsYosWnh7e5Ovr6+gXY45jRs3TlSfWoIMimNrBntjMplo8uTJVFJSIngtMjKSsrOzydnZWdQYfYW5s316u0EociiOHDm0ldr7rB6P70pABsVRIoPbt28nxpig/XH4G6n9uQLSwUIMaEZqaqqgzcvLi2bOnKl8MX1QQUGBoM3SMzcTJ04UtJ07d457kLMEY4zOnz9v0Thy4Y119uxZm/urq6vj/ixEyTnJDRkUR0wGeerq6mjy5MlUXFwseC08PJwOHDhA/fr1s7n/vob3/hKJe4+1CDkUR+ociqGFfVaPx3e5IYPiyJ3Brq4uSktLE7QHBgbqaj80RwufKyANLMSAJly9epV7YE9KSnqsL7m31O3bt7k/W3jhhRcs2j4mJkbQVlVVRYWFhTbVU1BQQNXV1RaNIxfeWEVFRVRVVWVTf8eOHaPu7m6LxumLkEFxxGbwvx48eECxsbHcDL700kt08ODBx+7y6/379wvanJ2daeTIkSpUIw/kUBypcyiWFvZZPR7f5YQMiqNEBnNycujOnTuCdr0+svphjDE6ePCgoH348OG4IqYPwkIMaALvhltEj8clhlJYu3Ytt93SRyxOmjSJ3NzcBO28xwJaIj09XdDm5uZGkyZNsqk/W0ybNk1wmXR3dzdlZmba1B9vTgEBAbr5n0BkUByxGXxYQ0MDxcfHcx/3GRoaSocPH+be90HPTp8+TadPnxa0h4WFkaOjowoVyQM5FEfKHIqllX1Wj8d3OSGD4iiRQd7fyMHBgebNmyfZGFq1Y8cO+vPPPwXteKR6H8UAVNbR0cEGDRrEiOhf/8aPH69qXf7+/oKaVq1apWpNPEeOHGF2dnaCWt3c3FhDQ4PF/cyfP1/Qx4ABA1hjY6NV9TQ2NjIvLy9BX8nJydZOTbSIiAhBHaNGjWLd3d1W9VNeXs7s7e0Ffa1evVqmypWFDIojVQYZ+39+Xn75ZUFfRMQmTpzI6uvrZZqFdtXV1bHAwEDue5KWlqZ2eZJBDsWRModiaW2f1ePxXQ7IoDhKZLCqqoo5OjoKxkhMTJSkfy0rLy9nPj4+3M+VU6dOqV0e2ABXxIDqDhw4QJWVlYJ2PZ99qKiooOPHj4vuJzc3l2bPns39yczSpUutOmu+dOlSQVtNTQ198cUXVtW0YcMGMplMFvXfG4PBIPhn7Rk33pjXrl2jn376yap+Vq5cSZ2dnf9qc3JyorfeesuqfrQKGbSdlBlsaWmhhIQEys/PF7w2YcIEysnJUfTS46FDhwoyOHToUIu337dvHzU1NYmqwWQyUUJCAvdSd39/f3r99ddF9a8lyKHtpMqhFvdZsTkk0t7xXauQQdtJeSzszc6dO7lPB5LzbyT2+2hGRoboJxqVl5dTXFwcVVRUCF4LDQ2l8PBwUf2DStReCQKYPn26YGXX2dmZ1dbWqlqXnGcgioqK/jnLkpqayqqrq63avra2lq1YsYJ75oGImL+/v01nH+Lj4wV9OTg4sDNnzli0fV5eHnNwcBD0MXXqVKtr4c0rIiLCqj66urq4ZyWNRiMrLS21qI/09HRuLUuWLLF6TlqFDKqfwdbWVhYbG8vtKzg4WJW/Be/99/f3t3j7sWPHMk9PT/bhhx+yS5cuWTV2d3c3+/nnn5mvry/3PSEilp2dbeWMtA05VD+HWtxnxeawh5aO71qFDKqfwUcZM2aMYAxfX1/W2dkp2Rj/Jfb7qNFoZEOGDGHr1q2z+Ltnj/b2drZ9+3bm4eHBrcPe3p4VFhZaOSPQCnsCUNG9e/foyJEjgvbExETy8PBQviCFFRYW0sKFC2nRokUUFhZGL774IgUFBdHo0aNpwIABZDQaycnJierr66mqqoouXrxIubm5lJGRYfasnYuLC+3Zs8emsw9ff/01nThx4l8r9x0dHTRt2jTKysqiqKgos9seO3aM5syZQx0dHf9qd3R0pK+++srqWqRgZ2dHW7ZsEfx2tr6+nqKjoyk7O5v7aM8eu3bt4t78zcvLi9asWSN5vWpABrWRwdmzZ9PRo0cF7d7e3rR27Vq6fv26zXPs4e7uTqNHjxbdjzVqa2tp/fr1tH79eho+fDjFxsZSUFAQBQUFkZ+fH7m7u5Obmxu1traSyWSi69evU35+PqWnp1NpaanZfpcvX04JCQkKzkReyKE2ckik331Wb8d3qSGD2smgORcuXKCSkhJB+/z58+mJJ56QZAy53L17l1auXEkrV66k559/nqKioigoKIjGjBlDgwcPJqPRSK6urtTY2Egmk4lKSkooPz+fdu/ezb0xcY+UlBTVbkYOElB7JQgeb59//jl3hff48eOyjss7uyDVvx9//PGR4/ecgZD6n4eHBzt58qSo92bz5s3cvg0GA5s7dy7LyclhNTU1rLOzk1VXV7PDhw+zV199lRkMBu52KSkpNtXB68vaK2J6vPPOO9z+HBwc2OLFi9np06dZXV0d6+zsZBUVFWzv3r0sLi7O7Pv8yy+/2FSHFiGD2sigXO+FmPxIcUWMHPN49913rb7Pk9Yhh9rIoRb3WamuiGFMO8d3LUIGtZHB3rz99tvcfffmzZuSjvNfvPlZe0WM1O+vnZ0d27Rpk3yTBkVgIQZUNWLECMGHy7Bhw2T/kq3HA19cXBz766+/JHl/Fi1aJElNixcvtrkGsQe+h7W3t7Np06ZJMqf169fbPCctQga1kUG53gsx+dHaQszgwYN193OkHsihNnKoxX1WyoUYxrRxfNciZFAbGTSnubmZu6AxadIkScfh4c1RzYWYgIAAdvbsWfkmDIrBzXpBNfn5+XTjxg1Be3JysuCxw3rj6elJ48ePJzs78REMCwujjIwMOnLkCPn5+UlQHdF3331H77//vqg+li9fTtu2bZOkHrEcHBwoKyuLkpKSbO7D3t6eUlJSaMWKFRJWpi5kULsZ1IPQ0FBJbi7s6+tLn3zyCV25ckVXP0fqgRxqJ4ePwz6rt+O7FJBB7WTQnKysLKqvrxe0834+rjXh4eHUr18/0f0EBATQl19+ScXFxRQaGipBZaA23CMGVLN9+3ZBm52dHS1YsED5YhTm7+9PBQUFVFdXR/n5+XTx4kUqLi6mq1ev0t9//00tLS1mt/X19aWQkBAKCQmhGTNmyHLPB4PBQBs3bqSoqChatmxZr797/6+AgADasmULxcfHS16XGE5OTrRz506Ki4ujDz74gHvneXOCg4Np69atFBISImOFykMGtZtBPdi2bRt9++23VFhYSL/++isVFxfT5cuX6fbt29wnr/To378/jR8/nkJCQmjSpEk0ZcoUzf/+XwzkUDs5fBz2WT0e38VCBrWTQXN4fyOj0Uhz5syRbUypZGdnU3t7O50/f57Onz9PxcXFVFJSQmVlZdzFpR5Go5EmTJhAISEhFB0dTZGRkbpfGHzcGBhjTO0i4PF06dIlwQe8s7MzjRs3Tvaxi4qKqK2tTZa+n3nmGfL29hbVR01NDZlMJmpubqaOjg5ydXUlDw8P8vDwIGdnZ4kqtUxXVxdlZ2dTeno65ebmUlVVleC/8fb2psjISJo7dy7NmDFDs19Ae7S1tVFGRgbt2bOH8vLyqK6uTvDf+Pn5UUxMDCUlJVFMTIzyRSoAGTRPSxnUo5aWFqqsrKSmpiZqaWkhR0dH8vDwIKPRSO7u7o/Vl03k0Dwt5VCP+6wej++2QAbN00oGf/vtN8GjsY1GI40aNUqxGuTQ2NhI9+/fp6amJmptbaV+/fr987ni5uamdnkgMyzEAIBVqqurqbKykpqbm8nFxYUGDRpEAwcOVLssUSoqKqi6uppaW1upf//+5OvrS0ajUe2yAAAAFKPH4zsAgFZhIQYAAAAAAAAAQCG4WS8AAAAAAAAAgEKwEAMAAAAAAAAAoBAsxAAAAAAAAAAAKAQLMQAAAAAAAAAACsFCDAAAAAAAAACAQrAQAwAAAAAAAACgECzEAAAAAAAAAAAoBAsxAAAAAAAAAAAKwUIMAAAAAAAAAIBCsBADAAAAAAAAAKAQLMQAAAAAAAAAACgECzEAAAAAAAAAAArBQgwAAAAAAAAAgEKwEAMAAAAAAAAAoBAsxAAAAAAAAAAAKAQLMQAAAAAAAAAACsFCDAAAAAAAAACAQrAQAwAAAAAAAACgECzEAAAAAAAAAAAoBAsxAAAAAAAAAAAKwUIMAAAAAAAAAIBCsBADAAAAAAAAAKAQLMQAAAAAAAAAACgECzEAAAAAAAAAAArBQgwAAAAAAAAAgEKwEAMAAAAAAAAAoBAsxAAAAAAAAAAAKAQLMQAAAAAAAAAACvkfsoTgUEiNI84AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 426,
"width": 561
}
},
"output_type": "display_data"
}
],
"source": [
"t = np.linspace(7149, 7159, 500)\n",
"\n",
"params = [np.log(s), np.log(q), u0, alpha, np.log(rho), np.log(tE), t0]\n",
"mag = VBM.BinaryLightCurve(params, t)\n",
"plt.plot(t, mag[0])"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"18.8 ms ± 302 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%timeit VBM.BinaryLightCurve(params, t)"
]
},
{
"cell_type": "code",
"execution_count": 224,
"metadata": {},
"outputs": [],
"source": [
"import MulensModel as mm\n",
"params = {\n",
" 'u_0': u0,\n",
" 's': s,\n",
" 'q': q,\n",
" 'alpha': alpha/np.pi*180+180,\n",
" 'rho': rho,\n",
" 't_E':tE,\n",
" 't_0': t0\n",
"}\n",
"model = mm.Model(\n",
" params\n",
")\n",
"model.set_default_magnification_method('VBBL')\n",
"\n",
"mag_mm = model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 225,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x32ff26850>]"
]
},
"execution_count": 225,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zX8TMaeWefYFN7cknaQMAAAAAslugq9E1tsPlRnJkorzbFzJw4EC9/PLLKQ/v7Q2fz6errrpKf/7zn+Xz5d3becC8BzQ1d8YNJQEAAAAA9JdgrMU1tgrKzQTJQHnZHAwZMkRPPfWU7rrrLh166KG9uodlWTr55JO1YMEC/eQnP9nn2TL4gPcRZbFE8uO/AQAAAADZzed4/uju5zPzf6Rta9KQIUO0cOHCfr3/gfr85z+vz3/+83rppZf097//XYsXL9by5cvV3t6e8vqqqiodffTRmj17tj796U9rwoQJBxs77wSdTo2ytiughPyyVRWPmI4EAAAAAOhjlpNwj/15dTLKXqXtnQiHw5o9OzNPSJ4zZ47mzJkj6YODexsaGtTY2Kimpib5/X6Vl5ervLxcZWVlZoPmgMpdy7QgfEX3eGesQtKFxvIAAAAAAPqez1vE+PyGkmQeKikPn8+nAQMGaMCAAaaj5CTvL59fiR6uBAAAAABkK5/jOYbCR/3wH3l5RgzM8fndh/X6xBkxAAAAAJBrfGJFTE8oYpBWPlbEAAAAAEDOs1gR0yOKGKSV94Amv/eXEwAAAACQ9fycEdMjihiklc9bxLA1CQAAAAByjuXdmsRTk7pRxCCtkosYtiYBAAAAQK7xrojxHlORzyhikFZWwF3EBCxbchxDaQAAAAAA/cF7WC9nxOxGEYO08qf45bMTrIoBAAAAgFzifXy1d3dEPuOdQFr5AsGkuXgirlCAH0UAAAAAyBUbrGFqTEQUkC2fbNmhItORMgaffpFWvpQrYmKSIukPAwAAAADoF5cHvqOdHdHu8X2DZxlMk1nYmoS08qdY+RKPxw0kAQAAAAD0l4TtPgvU77MMJck8FDFIq1T7AhMJihgAAAAAyCUUMT2jiEFapSpi7HjMQBIAAAAAQH+hiOkZRQzSys+KGAAAAADIeRQxPeOwXqSVr6BMn+u6WnH5lXD8SsjS7cEy07EAAAAAAH3IW8QEKGK6UcQgrfzBkF62j3TNJfwhQ2kAAAAAAP3ha76/KG5JtnyKO34FOydL4o/wEkUM0ixVC5pIOCmuBAAAAABkI8e29T/+R1xzG7q+JOkQI3kyDWfEIK1S7QuM27aBJAAAAACA/pBIJJLmLB/rQP6DIgZp5beSixjbYUUMAAAAAOSKRCL5ybipHtySryhikFY+nyVvFxO3KWIAAAAAIFekejKujyKmG+8E0q7M6pDjJBRQQj7ZsmNR05EAAAAAAH0kEU9RxASoH/6DdwJptyj4JUWs3UvV3qt7TBpRbTARAAAAAKCv2ClWxAT8QQNJMhNbk5B2Cfld41S/pAAAAACA7JSIJ58RY/n9Ka7MTxQxSLuE5f6xcyhiAAAAACBn2CmemhQIsCLmPyhikHasiAEAAACA3JXqqUkWh/V2o4hB2tmeHzvbpogBAAAAgFyR6rDeAIf1dqOIQdp5V8SwNQkAAAAAckeqXQ88vno3ihikXfKKmOT9gwAAAACA7GSn2JrEGTG7UcQg7WyLFTEAAAAAkKtSHdbrZ0VMN4oYpJ13RYzDihgAAAAAyBnerUkJx5Llo374DyoppF3C8kvO7rGTYtkaAAAAACA7JRxLNU6lAkrIJ1uOfKoyHSqDUMQg7ZykFTFsTQIAAACAXNFePkGnRm/vHkeCPq0xmCfTsDYIaZdIOiOGrUkAAAAAkCvituMaB9iW5MK7gbRjRQwAAAAA5C7bcRcxPstQkAxFEYO08z41SRzWCwAAAAA5I57wrIjxUz3siXcDaectYrwnagMAAAAAslfC9q6IYUnMnjisF2n3UPFntWPHdiXkU1w+fXjAbNORAAAAAAB9JOF4z4ihiNkTRQzS7q2Co7XQ3tU9PiY81GAaAAAAAEBfCjZv0EX+JxWXXwn5FHDKJZ1sOlbGoIhB2vk9bahn+yAAAAAAIIsVNryn7wTv6x5viw+SdKOxPJmGM2KQdklFjG0bSgIAAAAA6GuOHXONE/L3cGV+oohB2iUXMYaCAAAAAAD6nO35kJf05Nw8RxGDtGNFDAAAAADkLu+KGJvqwYUzYpB2/u5HlznyyZGdSBjNAwAAAADoQ7b7Mx4rYtwoYpB2F9XO1y/D/5Df+uCU3kUb/5+km82GAgAAAAD0CTsRd48tVsTsiXcDaWdZVncJI0lyWBEDAAAAALnCsj1FDIf1ulDEIO0cbxvq+SUFAAAAAGQv27M1yWFrkgtFDNLOsTw74jisFwAAAAByh3dFDEWMC0UM0s+zIsZyWBEDAAAAALnC4bDevaKIQdo5Pu+KGM6IAQAAAICc4VkR41A9uPBuIP2SVsRQxAAAAABAzmBFzF5RxCDtWBEDAAAAALnL8a6IoYhxoYhB+nl+CVkRAwAAAAA5hKcm7RVFDNLO8Xl+CSliAAAAACBn2I7U5ez+3Jf0GTDPBfZ9CdDHPFuTfBQxAAAAAJAzFg3/f/rsuydKkizZ+sj4wTrKcKZMwooYpJ3lXZbGGTEAAAAAkDPittP974588vtZA7InihiknfewXs6IAQAAAIDckdijiJEkn88ylCQzUcQg/Xw8vhoAAAAAcpW3iAlQxLhQxCD9fEH3kCIGAAAAAHKGt4jxU8S4sFELaVdTOVP/+84FSsinhPyqqB6nI02HAgAAAAD0CYqYvaOIQdo1lB+uuxO7F2MdH64ymAYAAAAA0JeGtKzUmb43ZcunuPwa2hmTNMV0rIxBEYO083vKUG9bCgAAAADIXjPqH9P/hJ7oHi+qP1fSWcbyZBrOiEHa+f3uHzuKGAAAAADIIbbtGjo+v6EgmYkiBmnnPTE74VDEAAAAAECu8Dlx94TFZpw9UcQg7fyWu4iJsyIGAAAAAHKG5X0yLitiXChikHbeE7NtihgAAAAAyBkUMXvH+iCk3fDtL2hx+Hr5ZCughLY2jpS0yHQsAAAAAEAfSC5iqB72xLuBtAuoSwOtxu5xo9NmLgwAAAAAoG95ihjLYkXMntiahLSzPG2oJbuHKwEAAAAA2cbH1qS9oohB2ll+dxHj9/6SAgAAAACyluV4/thOEeNCEYO0866I8YkiBgAAAAByRdLjqzkjxoUiBmnnXRHj87alAAAAAICs5V0RY7EixoUiBmnn87t/Cf2siAEAAACAnJF8RgwrYvZEEYO0S96axIoYAAAAAMgV3iKGFTFuFDFIO5+niGFFDAAAAADkjqQn4/pZEbMnihiknc97RgwrYgAAAAAgZ3hXxPhYEeNCLYW0szxnxAR4fDUAAAAA5Iwri3+o9Tsa5VdCAdm6Ydgs05EyCkUM0s7nD7rGflbEAAAAAEDOaHfCalbR7olQobkwGYitSUg771OT2JoEAAAAALkjYTuusd+yDCXJTBQxSDvvGTFBi61JAAAAAJArEo6niPFRxOyJIgZp592aJEl2gjIGAAAAAHJBPEERszecEYO0cwqrdHv8TCXkV8LxKSGfvmbbSVuWAAAAAADZx2ZFzF5RxCDtfEVV+mn8XNfcV+RT8joZAAAAAEC2mRp/U+N8nYr/+4/vofgkSQNNx8oYFDFIO78/uQ31HuYEAAAAAMhOP0j8XBWh5u7xW40TJY01FyjDcEYM0i7VidlxihgAAAAAyAk+uc8A9flYA7InihikXar9gayIAQAAAIDc4Hds19j75Nx8RxGDtKOIAQAAAIDc5ZOniAlwIuieKGKQdhQxAAAAAJC7Ap6tSZaPJ+TuifVBSDt/okNPhb4ln2wFlJBPtpyWp6WyQ0xHAwAAAAAcpKQVMX5WxOyJIgZpF/D5NNm3yTW3tStqKA0AAAAAoK84tq2A5S1iWBGzJ7YmIe1StaG2HTeQBAAAAADQl2zbTppjRYwbRQzSLhBIXohlx2MGkgAAAAAA+lI83pU0x4oYN4oYpJ3P75ftuA/ste1ED1cDAAAAALKFnUj+bOdnRYwLRQyMSHh+9FgRAwAAAADZL57is50vxa6IfEYRAyOSihhWxAAAAABA1ku9IoYiZk8UMTDCZkUMAAAAAOScRMozYihi9kQRAyPilvuwJifBU5MAAAAAINuxImbfKGJgRNKKGLYmAQAAAEDWSyRSnRHDYb17opaCEQm5V8TYKX5ZAQAAAADZpStSrROjN8svW34l5Jeth8PFpmNlFIoYGOEtYhxWxAAAAABA1rMtvzY5g1xzfp6a5MLWJBiRtDWJM2IAAAAAIOvFbSdpzu+zDCTJXBQxMML2HtbLihgAAAAAyHp2qiLGoojZE0UMjPCuiOGpSQAAAACQ/bwrYixL8rEixoWNWjDixeAJstp3KS6/bPk0oXC46UgAAAAAgIOU8BQxAUqYJBQxMOLegvP1bnNr9/i2kgkG0wAAAAAA+oITbdXh1jrZ8ikuv3wWj672ooiBEX6fe2uStzUFAAAAAGSf4K41ejx8Xfe4zYlIushcoAzEGTEwwu/5yaOIAQAAAIDs59ju8z8TFrWDF+8IjGBFDAAAAADkHjvhfiJuQv4ersxfFDEwwu85rynhUMQAAAAAQLZzEjHX2PvEXFDEwJCAZ0WM9xFnAAAAAIDsYyc8W5NYEZOEw3phxAUtv9XXgqvlt2z5Zat12yWSvmA6FgAAAADgIDi2e2sSK2KSUcTAiNHxtZriX909XtS5w2AaAAAAAEBfcDwrYmyLFTFeVFMwwvH+MnpaUwAAAABA9rFtDuvdF4oYGOEtYrzL1wAAAAAA2Sd5RQy1gxfvCIxIXhETS30hAAAAACBrOLaniGFFTBKKGBiRtE/Qts0EAQAAAAD0HW8Rw4qYJLwjMMPzy2h5flkBAAAAANnHTnifmsSKGC+KGBhhW+4HdjkOZ8QAAAAAQNbz/JHdYUVMEt4RGOH4vFuTWBEDAAAAANku6YwYzx/hQREDUzxnxFg8NQkAAAAAsp/ns13S+aAQ1RSMSHpqEluTAAAAACDrras+WT9cEZZfCfnl6JCqQbrJdKgMQxEDM3ysiAEAAACAXNMWrNRyZ3z3OFRQZTBNZmJrEoxgRQwAAAAA5J6E7bjGPssylCRzUcTADO+KGIoYAAAAAMh6CcddxAR8FDFeFDEwwvGenM3WJAAAAADIeomEZ0UMRUwSzoiBEXVF4/RU4mgl5FdCPnVFJmum6VAAAAAAgIMSt1kRsy8UMTBi9cCP6FerJ3ePzywfqk8ZzAMAAAAAOHjBWJOGaJfi8smWTwUqMx0p41DEwAhvK+ptTQEAAAAA2Wf6lnt1WeT33eMlO06RdLy5QBmIM2JghN/n/tHz7iMEAAAAAGQfy467xo7nQS2giIEhAb93RYxtKAkAAAAAoM/YMdfQ8bERx4siBkYEPUVMjBUxAAAAAJD9PCtiRBGThCIGRiRtTeKMGAAAAADIeklbkyyKGC/ekR7Ytq23335ba9as0datW9Xa2irLslRcXKyBAwdq7NixmjhxokpKSkxHzUojG1/TrcF7FFBCQSXU1jBW0izTsQAAAAAAByGpiPEHDSXJXEaLmHXr1mnp0qWufxoaGpKue/HFFzVnzpx+z+M4jp5//nndfffdeuaZZ1RfX7/X630+nyZPnqzjjz9ep59+uk4++WQVFRX1e85cUNaxRaf6F3aP13R1GEwDAAAAAOgLPs8ZMeKw3iRpK2LWr1+vJUuW7LN0MWXBggW68sortXTp0v3+Gtu2tWrVKq1atUp33nmnbrjhBt144439FzKHWJ5W1OfEe7gSAAAAAJAtLCfhGjs+VsR4pa2ImTZtmpqamtL17fZbPB7XN7/5Td1yyy1yHM4pSZukIibRw4UAAAAAgGzh3ZokipgkeX1GTFtbm84++2w9/fTTPV5TVFSkwYMHa9CgQQqFQmpoaNDWrVtVV1eXxqS5x+cpYvysiAEAAACArGd5P9v587p2SClv35F4PN5jCVNUVKRLLrlEZ511lo4//nj5/cl72rZs2aLXXntNjz/+uJ544gnt3LkzHbFzhuX5ZfSLIgYAAAAAsp332AmLFTFJjBYxI0eO1PTp0zVjxgxNnz5dVVVVmjFjRlq+9xVXXJGyhDn77LN18803a/jw4Xv9+uHDh2v48OH65Cc/qa6uLj300EMKBvkB21/JZ8SwNQkAAAAAsp3PuzWJFTFJ0vaOjBw5UuPGjdP06dO7y5eqqirXNRs2bEhLlieffFK33XZb0vzXvvY13XzzzQd8v1AopM985jN9ES1v+APuIiZAEQMAAAAAWS/pQSysiEmStiLmzTffTNe32qvOzk5ddtllSfOf+9znelXCoHcsTxHD1iQAAAAAyH7e3Q7eYykg+UwHSLc77rhD69evd81VV1dTwqSZd2uSX6yIAQAAAIBsl3RGjJ8VMV55VU3F4/GUhct3v/tdVVZWGkiUv5K2JlHEAAAAAEDW+23hRWqo2yG/EgoqoTOqZ5uOlHHyqoh56qmntHnzZtdcJBLReeedZyhR/vI+vjrA46sBAAAAIOut9E3WGnv3w29OLR1pME1myqutSX/5y1+S5j760Y+qtLTUQJr85guEXGNWxAAAAABA9ovbjmvs91mGkmSuvCliHMfRM888kzR/2mmnGUgDv6eI4YwYAAAAAMh+8YTtGgd8eVM77Le82Zq0cuVK7dq1K2n+iCOO6PFrtmzZorq6Ovl8PlVXV6uqqkrBIAcN9QV/wP2j57cc2YmEfH6/oUQAAAAAgIMVS7hXxAT9rIjxypsiZtmyZUlzPp9Phx9+ePfYtm09+uijuvfee/XCCy+oubk56WsOP/xwnXLKKfrYxz6muXPn9mvmXGaFS7TEnqC4/Io5fsXl17HxmMIUMQAAAACQtRKerUkBPytivPKmiFm1alXS3MCBA1VYWChJ+uc//6kvf/nLeuutt/Z6n7feektvvfWWbrnlFh133HGaP3++PvShD/VL5lxmlQ3X2V03uuZWW3nz4wgAAAAAOSmQaFdYccUUkC2fApwRkyRvqqlNmzYlzZWUlEiSbrvtNs2ZM2efJYzXq6++qrlz52r+/Pl9kjGfBFO0ot4lbAAAAACA7PJ44kt6J3Kh1kXO17rwZ1Wx83XTkTJO3ixBqKmpSZorKSnRr371K11++eW9vq/jOLruuuu0bt06/e53vzuYiJI+OJdmb1L9d2SjVCdnew91AgAAAABkl4CTkP79cc9nOfIFOGfVK2+KmIaGhqS5LVu26Ktf/aprrrCwUBdddJHOPPNMTZ48WVVVVWpqatLatWv15JNP6s4771RtbW3Sve666y5NnTpVX/nKVw4q54gRIw7q67NFqgObvHsJAQAAAADZJaC4a+zzh3q4Mn/lzdakaDSaNFdbW6t4fPcPyYknnqg1a9bo1ltv1cknn6yhQ4cqFAqpurpas2fP1ne/+129++67uuCCC1J+jyuvvPKAtzflq1QHNsUoYgAAAAAgqwWUcI29T8xFHq2I2bNwSWXu3Ll68sknFYlE9npdWVmZfv/73ysSieg3v/mN67VYLKYf/OAH+tOf/tTrnJs3b97r6zU1NZo5c2av758pUh3YxNYkAAAAAMhejm0rYLk/1/mDrIjxypsiJhjseV9aRUWF7r333n2WMP9hWZZuvfVWvfrqq1q9erXrtQceeEDz58/XmDFjepVz+PDhvfq6bBOwHN0Q+L0CSsivhIJKyG6eKA0YZzoaAAAAAKAX4vGYvJ+8/ZwRkyRvtiaFQj23cJdeeqmGDRt2QPeLRCK64YYbkuYTiYQee+yxA86Xb/w+nz4feEYXBJ7XeYEX9anAy1JH8jk+AAAAAIDsEI91Jc1xRkyyvCliysvLe3zt4osv7tU9P/GJT6iqqippfsGCBb26Xz6xfD51OX7XXCLFLy0AAAAAIDvEUnym8+9ld0q+ypsiJlVhIkmjRo3SqFGjenXPQCCgY445Jml+0aJFvbpfvknIXcTYiZihJAAAAACAg2XHkz/TBTgjJkneFDE9bT2aOnXqQd031dfv3LnzoO6ZL+LeIibFLy0AAAAAIDvE4ylWxPhZEeOVN0XMIYccknK+srLyoO47YMCApLlYLKbm5uaDum8+iFvus6ITFDEAAAAAkLVSnRHDU5OS5U0RM3ny5JTzhYWFB3XfoqKilPOtra0Hdd98kLQ1iSIGAAAAALJWIpb8mS5IEZMkb4qYGTNmpJw/2JUrTU1NKecPdqVNPkg+I4bDegEAAAAgW6X6TMfjq5PlTRFTXV2t8ePHJ83X1tYe1H1TfX1RUZEikchB3TcfJDxbk5xE3FASAAAAAMDBSnXcBCtikuVNESNJ8+bNS5pbunTpQd3z9ddfT5obPXr0Qd0zX3hXxDisiAEAAACArJXwnBETd3yyfHlVO+yXwL4vyR1nn322br/9dtdcXV2dli1bpqOOOuqA79fc3KzXXnstaX7u3Lm9zphPEpZfcnaPOSMGAAAAALJXZ+EQXdn1JQWshIKKK+iTbjAdKgPlVTV14oknauzYsUnzv/rVr3p1v7vvvlvt7e1J8yeffHKv7pdvkrcmUcQAAAAAQLbqDJbrIftE3Z+Yq/sSp+oB68OmI2WkvCpiLMvSFVdckTT/+9//XkuWLDmge23fvl3f//73k+aHDx+u//qv/+p1xnxiW97DejkjBgAAAACyVTxhu8YBf15VDvst796Viy66KGlVTDwe17nnnqtNmzbt1z1aWlp0zjnnqK6uLum1b33rWwqHw32SNdfZ3p1xrIgBAAAAgKyVsB3XOOi3DCXJbHlXxITDYd1xxx2yLPcPxLp163Tcccfpqaee2uvXL1u2THPmzNErr7yS9NrUqVN18cUX92neXMbWJAAAAADIHTFPEeP3UcSkkrbDejds2KAxY8b06mv35/Db9evX7/fTik499VRdc801mj9/vmt+y5YtOv300zVz5kydeeaZOvTQQzVgwAA1NTVp3bp1euKJJ/T888/Ltu2ke1ZVVemRRx5hNcwB2BUYpPeiDYrLp7j86giUmY4EAAAAAOilpK1JPDEppbx6atKevve976m2tla/+c1vkl5bvHixFi9evN/3GjhwoB599FGNGjWqLyPmvF9XXa1XGnZv77q2erLmmIsDAAAAADgIcbYm7Ze8LWIsy9Kdd96psWPH6rrrrlM83ruDYqdNm6ZHHnlEI0eO7OOEuS/oObgplmKlEQAAAAAgO1RtelprwlcppoDi8mtL50hJC03Hyjh5vU7IsixdffXVWr58uc4444ykc2P2ZuzYsbr77rv1+uuvU8L0UsCzXzCRcHq4EgAAAACQ6Zx4VBErphKrQxVWq4qddtORMlLaVsQMGTJECxf2XxM2ZMiQXn/t4Ycfrscff1xr167VI488ogULFujtt9/W9u3b1dHRodLSUlVVVWnYsGE64YQTdOqpp+qYY45RIJC3C4r6RMCzTM17sBMAAAAAIHvYCfdOk4TlN5Qks6WtSQiHw5o9e3a6vl2vjB07VldeeaWuvPJK01HygvfgJu/BTgAAAACALOJ5Eq5NEZNSXm9NglneFTHeZ84DAAAAALKH4yliEha7SFLhXYExh7e9phH+1xSwEgoqofJdx0uabDoWAAAAAKAXHM/WJJsiJiXeFRhzWOu/NCv4SPf4taagpC8ZywMAAAAAOAi2e0WMw9aklNiaBHO8v5R27x4hDgAAAADIAGxN2i8UMTDG8QddY4siBgAAAACyluP5TGf7gj1cmd8oYmCM43O3o5ZDEQMAAAAAWctTxDisiEmJIgbmeIoYHytiAAAAACB7ebYmOT7OiEmFIgbmeJapsSIGAAAAALIYK2L2C0UMzPFuTWJFDAAAAABkL86I2S8UMTDHc1ivjxUxAAAAAJC1fN7HV/tYEZMKRQyMsfycEQMAAAAAOcP7mY4iJiXeFZjj866ISRgKAgAAAAA4WG+WfEgvbC9QQAkFldDA8mM0y3SoDEQRA2OSVsSwNQkAAAAAstaawul6KDGoe/yFykMMpslcbE2CMRZnxAAAAABAzojbtmsc8FmGkmQ2ihgY4y1i/BQxAAAAAJC14gnHNaaISY0iBsZYPu/WJM6IAQAAAIBslbQixk/lkApnxMCcYIEanGLF5VdMftVb5WIHIQAAAABkp6QVMX5WxKRCEQNj6kbM09kLqrrHo4sL9ZK5OAAAAACAgxCz2Zq0PyhiYIz3lzLu+aUFAAAAAGSPL+/8vn4QXqW441dcfm3dcamky0zHyjgUMTDGu0zNu4wNAAAAAJA9yhL1Gm7VSf/+qLfLbjUbKENxcg6MCXoObvIe7AQAAAAAyB4+2/MkXF8w9YV5jiIGxvjZmgQAAAAAOcMvdxFjBShiUqGIgTFBtiYBAAAAQM7wOQn32E8RkwpnxMCYcLRB5/ufU0AJBZRQ0JakeaZjAQAAAAB6we94VsT4qRxS4V2BMQWd2/X94N3d45jjl/Qrc4EAAAAAAL2WXMSwIiYVtibBGF8g5BoHrYQcDuwFAAAAgKzkk3drUqiHK/MbRQyM8ac4uCkejxlIAgAAAAA4WH7PGTEc1psaRQyM8QfCSXPxGEUMAAAAAGSjgOepST7OiEmJIgbG+APJv5TxeJeBJAAAAACAg+Vna9J+oYiBMYFA8i9lIkYRAwAAAADZyFvEpDqOAhQxMMgfTC5iYqyIAQAAAICsFPCcEeOjiEmJIgbG+FIUMTaH9QIAAABAVgp4tyZRxKREEQNjginOiElwWC8AAAAAZCVvEcPWpNQ4whjGBIIpnprE1iQAAAAAyDqJhK07Ex9VQInuf04orDIdKyNRxMCYQIp2lK1JAAAAAJB9YrajH8c/7Zp7qWSwoTSZja1JMMbn9yvhWK65BEUMAAAAAGSdhO0kzQX8VoorQREDo+KeRVl2giIGAAAAALJNPJFcxAT9VA6p8K7AqLj8rnEixhkxAAAAAJBtYradNOf3sSImFc6IgVFxyy/bsRSTX3H5Zaf45QUAAAAAZLaUK2J8rP1IhSIGRp3iu0s723c/4uxPA6YZTAMAAAAA6I14ij+qc0ZMahQxMMoXCEh7PGs+luKAJwAAAABAZnMaN+uJ0Lf/vdshoLj8CugkUTsk4x2BUQHPUrV4gq1JAAAAAJBt7GibDvNtdM0l/EFDaTIbG7ZglHepWpwVMQAAAACQdbxPwLUdS/4Aaz9SoYiBUQHPKdqpDngCAAAAAGS2RNxdxMSpG3rEOwOjvM+VT3XAEwAAAAAgsyViXa5xnJNQesQ7A6OmJd7UeF+N/LIVtOKKNJVJGmY6FgAAAADgADierUlxy28oSeajiIFRn+/4vSaE3u0eL64bJul4c4EAAAAAAAcsEY+7x9QNPWJrEoxKWO5fTm+LCgAAAADIfHbCvTUpQd3QI94ZGGV7l6vZ8dQXAgAAAAAylp1wf5bjjJieUcTAKJsVMQAAAACQ9RzPU5MSnBHTI4oYGOUtYkQRAwAAAABZJ2lrkvezHrpRxMAoxxd0jz2/vAAAAACAzGd7V8SwNalHFDEwKuELuSfiFDEAAAAAkG3sWIdrHPd+1kM3ihgYZfsjrrEV7+jhSgAAAABApnJina5xzAobSpL5KGJglB1w/3JaiaihJAAAAACA3vIWMUm7H9CNTVswyvFTxAAAAABAttsROUR/ip+ksBVTWDHFCiZpiulQGYoiBkY5nq1JPooYAAAAAMg6a0tn6tZ4Rff4jOoh+rjBPJmMrUkwy7M1ycdTkwAAAAAg60TjCdc4HKBu6AnvDMzyFDF+mxUxAAAAAJBtojHbNQ4HqRt6wjsDo6yge2sSRQwAAAAAZJ9o3FPEBPyGkmQ+ihgY5fMUMQGbrUkAAAAAkG2iMc/WJFbE9IjDemHU1pEf09FLhyqqoKIKamLlAP3ddCgAAAAAwAFhRcz+o4iBUYFIiXaqvHvcEXfMhQEAAAAA9MpHav9Pnwm+pahCiioop/HTkiaYjpWRKGJglPckbW+LCgAAAADIfMM739MU/6ru8aKuEwymyWxs2oJR4aB7uZr3kWcAAAAAgMzn95z36X0wC3ajiIFRrIgBAAAAgOwXcChi9hdFDIxKKmJiFDEAAAAAkG2CnhUx3ifkYjfOiIFREXXpaGuNwlZMYXUpYsfk2KfJ8tERAgAAAEC28K6I8QULDCXJfBQxMKqos0YPhr/rmovFr1MwFDaUCAAAAABwoIKeIsYfYkVMT1h2AKOC4eSWNNrZbiAJAAAAAKC3wqKI2V8UMTAqFClMmuuiiAEAAACArBLyrIhJ9Ud3fIAiBkaFIkVJc13RDgNJAAAAAAC9FVLMNQ6Ekv/ojg9QxMCocIoVMTFWxAAAAABA1ojHuhS0Eq65QJgipicUMTAqGAzJdizXXIwVMQAAAACQNVLtamBrUs8oYmCU5fMpqqBrLt5FEQMAAAAA2aKrM/kzXChCEdMTihgY12V5ihhWxAAAAABA1ki9IoatST2hiIFxXQq5xglWxAAAAABA1ohFk8/5DLMipkcB0wGAmBWSnN3jRFenuTAAAAAAgAMSdYJ6PDFbYcUUVpfCVkwzwxHTsTIWRQyMSypiYqyIAQAAAIBs0RoeqMtil3ePQwGf3vX5DSbKbGxNgnExy701yWZFDAAAAABkjWjcdo3DAaqGveHdgXFxX9g1tmMUMQAAAACQLaIxdxETCbIaZm8oYmBc3OdeEePEKWIAAAAAIFtE4wnXmBUxe8e7A+MSniJGrIgBAAAAgKzB1qQDw2G9MO6B6q/qive2KaqQok5Qnxs0RbNNhwIAAAAA7JfkFTFsTdobihgY11o4TGsdq3vc7oT2cjUAAAAAIJNUbPunfhn8Xfcf1ztjYyWdYDpWxqKIgXHeZWveg54AAAAAAJmroGW95vgXd49Xde0ymCbzsXELxnmXrXmXtQEAAAAAMpf3gSsJz5Nx4UYRA+OSVsTEWREDAAAAANnCiXmLGI6b2BuKGBgXDlLEAAAAAEDW8qyIsf2siNkbzoiBcWVOqyZamxRWTGHFVN3aKmma6VgAAAAAgP1gxaOuccIfMZQkO1DEwLgj6h7TF8K3dI/f3HW0pHON5QEAAAAA7D8r4S5iHD9bk/aGrUkwzgq421K/He3hSgAAAABAprE8W5OcACti9oYiBsZZQfcvacDuMpQEAAAAAHCgfJ7PcA5nxOwVRQyM83mLGIciBgAAAACyhc+zNUmsiNkrihgYRxEDAAAAANnLe7yEFWBFzN5QxMA4X6jANQ5SxAAAAABA1vB7j5cIsiJmbyhiYJw/6C5iQhQxAAAAAJA1AkkrYihi9oYiBsYFwu5f0pAoYgAAAAAgW3gfuOI9fgJuFDEwLhAudI3DTsxQEgAAAADAgfIeL+E9fgJuAdMBgGDY/UsatmJybFuWj54QAAAAADLdamustttFCiumsGJSQaXpSBmNIgbGeYsYSYpGOxQpKDKQBgAAAABwIG7wfUW1XbvPibl3+EyDaTIfSw5gXNCzNUmSop0dBpIAAAAAAA5UNG67xuGA31CS7EARA+NCKVbExKLtBpIAAAAAAA5UNJ5wjcMBqoa94d2BcaFIchHTxYoYAAAAAMh4juMkr4gJUjXsDe8OjGNFDAAAAABkp1jCkeO459iatHcc1gvjAsGQPhv7jtrtgKIKKqqgbi0YZjoWAAAAAGAfOj3bkiS2Ju0LRQwywgr/4WpL7P4F7nSCBtMAAAAAAPZHV2ujfhj4taIKqlMhRRVU2DlWUvLOB3yAIgYZIRz0q61rdxHjPewJAAAAAJB5Ym31+nTgJddcq/8WI1myBeuFkBEinqVr0Zjdw5UAAAAAgEyR6kErkUihgSTZgyIGGaEg5D7Mqb2LFTEAAAAAkOm6OlrcYyegQChsKE12oIhBRigMuXfJtXXFDSUBAAAAAOyvrnZ3EdNhUcLsC2fEICOUB7o0SPUqtKIqVFRqGShphOlYAAAAAIC9iHe2usadiqjMUJZsQRGDjHBV8006MrK4e7xw8+WSjjYXCAAAAACwT/HONtc46osYSpI92JqEjJDwux9tZnW19XAlAAAAACBTJKLuFTFRi8dW7wtFDDJCPFDknohRxAAAAABAprOj7s9uMT9FzL5QxCAj2AHPiphYu6EkAAAAAID95Xh2M8TYmrRPFDHICE7QvSLGH6eIAQAAAIBM5z1WIhEoNJQke1DEIDOE3L+s/niHoSAAAAAAgP3m2c2QCLA1aV8oYpARrJB7RUwgQREDAAAAAJnO8uxmsFkRs08UMcgI3iImSBEDAAAAABnP73nQih2kiNkXihhkBF/YXcSEbIoYAAAAAMh0ScdKeM7/RLKA6QCAJAUixa5xyOk0lAQAAAAAsL+2+wZplT1KBYqq0IrKjlSYjpTxKGKQEbxFTIQiBgAAAAAy3m+LLtHSurO7x/PHHq7jDObJBmxNQkYIFriLmAKKGAAAAADIeG3RuGtcGPIbSpI9KGKQEYKREte4QFE5tm0oDQAAAABgf3TEEq5xQZCNN/tCEYOMEClyr4jxWY6ine09XA0AAAAAyATtXe4ipijMiph9oYhBRggVliTNtbc2G0gCAAAAANhfHZ4ihq1J+8aaIWSEgtIq/U/X5WpXWB1ORO0K61dWkSpNBwMAAAAApOQ4jtq73GfEsDVp33iHkBEKIgV60p7tmuuwWbAFAAAAAJkq2tmh7/h/r3aF1eZE1KGwijRdUqnpaBmNIgYZwe+zFAn61BnbfUCvd68hAAAAACBzdLQ26fOBZ1xzddY3DKXJHiw5QMYoDLl7wXbPY9AAAAAAAJmjsz35XM9IUfL5n3CjiEHGKAi6D3ViRQwAAAAAZK6u9pakuYJCtiXtC0UMMob3dO32GEUMAAAAAGSqaEera9zpBOUPcALKvhgtYtatW6cHH3xQ3/rWt3TqqaeqsrJSlmUl/fPSSy+ZjKnvfOc7KXNZlqU5c+YYzZZLCkN+FahTA9Sk4Vat4m27TEcCAAAAAPSgq8O9IqbDihhKkl3SVlWtX79eS5Ys0dKlS7v/aWhoSNe377WVK1fqRz/6kekYeeH7zddqSmRF93jRhm9Kx04xFwgAAAAA0KN4Z5trHBVFzP5IWxEzbdo0NTU1pevb9YlEIqGLLrpIsVjMdJS8kPAXuCe62lJfCAAAAAAwLtHp2Zrko4jZH5wRsxe33HKLXn/9ddMx8kY84C5inBhFDAAAAABkKm8R0+Ur6OFK7Ikipgfr1q3T9ddf75rz+Xi7+pPtKWKsWLuhJAAAAACAfbE9uxhirIjZL0aPMx45cqSmT5+uGTNmaPr06aqqqtKMGTNMRup2ySWXqL19dxFwxBFHqKSkRK+++qrBVLnNDhS6xj6KGAAAAADIWI6niIl7j5tASmkrYkaOHKlx48Zp+vTp3eVLVVWV65oNGzakK85e/e53v9M//vGP7rHP59Ovf/1rXX311QZT5T4nWOQa++MUMQAAAACQsbrcn9ninj+uI7W0FTFvvvlmur7VQampqdFVV13lmvuf//kfzZo1y1CiPBJy/9L6Ex2GggAAAAAA9sXynOuZ9AAWpMShJx6XXXaZGhsbu8fDhg3T/PnzzQXKI1bIvSImEKeIAQAAAIBM5T1OwgmyImZ/UMTs4aGHHtLDDz/smrvttttUWlpqKFF+8YXdRUzQpogBAAAAgEzl8/zxnCJm/xg9rDeTNDY26rLLLnPNnXXWWfr4xz9uKFH+8YWLXeOQ3WkoCQAAAABgX5qsUm2yq1VoRVWoqBzPLgekRhHzb1dccYW2b9/ePS4pKdFtt91mMFH+8UfcRUzYYUUMAAAAAGSqu0q/pFdrP9U9/s64Q3WMwTzZgq1Jkl544QXdfffdrrn58+dr+PDhhhLlp2DE3Z5GHFbEAAAAAECmaosmXOOikN9QkuyS90VMe3u7vvCFL7jmjj76aF166aWGEuWvoGdFTMSJGkoCAAAAANiXji53EVNAEbNf8r6Iue6667Ru3brucSAQ0G9+8xv5fHn/1qRdqNB9KHKhFZWdSPRwNQAAAADApPZY3DUuDHH6yf7I67Zh8eLF+sUvfuGau+KKK3TkkUcaSpTfwoUlSXMd7S0GkgAAAAAA9sW7IqaQFTH7JW/rqlgsposvvli2bXfPjRkzRjfccIPBVNKWLVv2+npNTU2akqRfuGygro5dog4nrHaF1aaIfhH3i3O3AQAAACDzeM+IYWvS/snbIuamm27SypUrXXN33HGHCgvNPvd8xIgRRr+/ScUlpbo/Mdc11xq3NNBQHgAAAABAavFYly5z/qhWf6FaVKAWp0Bl/ummY2WFvCxiVq9erfnz57vmPvOZz2jevHmGEkGSwgG/Qn6fuhK7Vym1dMb38hUAAAAAABPamht0aeDvrrlafaGHq7GnvCtibNvWxRdfrK6uru65iooK3XzzzQZT7bZ58+a9vl5TU6OZM2emKU36lUQC2tW2+3+b1ihFDAAAAABkmraWRpV55opKyk1EyTp5V8TcfvvtWrhwoWvuxz/+sQYNGmQokdvw4cNNRzCq2FPEtHTGDKYBAAAAAKTS0dLgGtuOpcJibzWDVPLqqUkbN27Utdde65o78cQTddFFFxlKBK+SiLsbZGsSAAAAAGSeaFuja9xqFcjy5VXF0Gt59S598YtfVGtra/c4FArpzjvvlGVZBlNhT8XhD4qYkGKqVHPSLzcAAAAAwLyY57NaO8+73W95szXpD3/4g5555hnX3Le//W1NmjTJUCKkcnnzz/T78EsKWx9sSVq47kvSh35kOBUAAAAAYE+x9ibXuMNn9gnE2SQvVsTU1tbq61//umtu4sSJ+va3v20oEXoS9FvdJYwkKdpiLgwAAAAAIKVER7Nr3OlnRcz+yosi5vLLL1d9fX332LIs3XnnnQqHwwZTIZVEsMQ19nVRxAAAAABAprE73UVMF0XMfsuLrUn333+/a3ziiScqHA5r0aJFB3Sf5ubmlHOp7jN8+PC8fwJSbzhhdxHjj7X2cCUAAAAAwJio+/NxPFhsKEj2yYsixmvBggU65phj+uRey5cvT3mvG264QTfeeGOffI+8Ei51DYMxVsQAAAAAQKbxJRUxJT1cCa+82JqE7GFF3EVMKNFmKAkAAAAAoCc+z+4FJ0QRs78oYpBRAoVlrnGEIgYAAAAAMk7AW8SEKWL2F0UMMkqgwL0ipsCmiAEAAACATBOKu4sY7+4G9CwvzohxHKdP7jNnzhwtWLDANfehD31IL730Up/cH1KoqNw1LlS7mSAAAAAAgB6FPbsX/AVlPVwJL1bEIKOEiypc42KnQ45tG0oDAAAAAEil2SlUvVOsmOOXRBFzIPJiRQyyR0FJuWvssxy1tjapuLQi9RcAAAAAANLuEusG7Yp2SXIUVkz3jJ5lOlLWYEUMMkpRisKlvaUx/UEAAAAAAD1qicb//W+WogqpqKjQaJ5sQhGDjFLoWREjSR3N9ekPAgAAAABIKRpPqCvuPkKiOMyGm/2VtiJmw4YNsixrr/+MGTMm5dfOnTt3n1+7YcOGdP2noB8FgyG1OWHXXEdbo5kwAAAAAIAkrZ3xpLmSSNBAkuzEihhknHbLvaStq7XRTBAAAAAAQJKWlEUMK2L2F+8UMs694U+rvrVTrU6BWlWgcwsnmo4EAAAAAPi31qi7iAn6LYUDrPPYXxQxyDgLSj6iN5qausenWqUG0wAAAAAA9tS1c52+6H9MLSpUq1OgrlCFLOt007GyRtqKmCFDhmjhwoX9ev/+duGFF2rOnDmuudGjR/f798033r2FqZa9AQAAAADMsGpX6dvBP3ePt2mQpKvMBcoyaStiwuGwZs+ena5v1y8uvPBC0xHygve0bYoYAAAAAMgc8Y5m17jDV2QoSXZiExcyTnGEIgYAAAAAMpXd0eQaR/0UMQeCIgYZx3vadms0ZigJAAAAAMDL6WxxjbsCxYaSZCeKGGSckj22JgUUV6yjZS9XAwAAAADSKuremhQPsCLmQPDUJGSc6fVP6PXwzSpRhyJWTCu3HCXpRdOxAAAAAACSrC73H8sTIZ50eyAoYpBxIkFL1dbuhjWUaDOYBgAAAACwJ3+s1TW2Q2xNOhBsTULGCRS429SITREDAAAAAJkiGHOviLHCJYaSZCeKGGScYEGZa1xIEQMAAAAAGSMUd6+IsSJlPVyJVChikHHCJZWucYnT2sOVAAAAAIB0K0i4V8T4iyoMJclOFDHIOIXl1a5xxIqps50yBgAAAAAyQZHtLmJCxQMMJclOFDHIOCWeIkaSmht2GkgCAAAAAHBxHJV6di1ESqsMhclOFDHIOCXlyb/EbU11BpIAAAAAAPbU2dGqsBVzzRWWsiLmQFDEIOP4AwE1q9A110ERAwAAAADGNTckfzYrqUje1YCeUcQgI7Va7sefRVt2GUoCAAAAAPiPlpYm7XTK1OX4JUm2Y6m4jBUxByJgOgCQSpuvRErs6B7HWyliAAAAAMC0naEROjl6hyRHhYpqWKRLzwWoFg4E7xYyUmegRErsHifaG8yFAQAAAABIkhrb/3M+jKV2RRQtrDSaJxuxNQkZqStY5ho7HRQxAAAAAGBac4f7oN7ywqChJNmLIgYZKR4ud419nY1GcgAAAAAAdmvs6HKNywooYg4URQwykh0pd40D0UYjOQAAAAAAu+3emvSB8sKQoSTZizNikJHqBh6jn29oVaOK1OgUq7xwkqabDgUAAAAAea7RszWprIBa4UDxjiEjdQw9Trcmdj/CekqibC9XAwAAAADSYXTtCzrfv0FNTpEaVazhvpJ9fxFcKGKQkco8Bz559yECAAAAANLvmPpH9IXg8u7xopYrJJ1oLlAW4owYZKRyz4FP3n2IAAAAAID0K4g3u8Y+Hl99wChikJG8K2JaOuNK2I6hNAAAAAAASSq0W1zjYFGFoSTZiyIGGam8IPnkbe/z6gEAAAAA6VXiKWLCpVWGkmQvihhkpHLPipiwutTY1mEoDQAAAAAgHutSieX+XFZYRhFzoDisFxkpEvTrsfB1qlaDytWqiBXTO5v+Jg08yXQ0AAAAAMhLLY275N2IVFxWbSRLNqOIQcYabDWoWg3d42jLLoNpAAAAACC/tTbWJhcxFayIOVBsTULGavM8j76rtd5QEgAAAABAW1Oda9zhhBQpKDKUJntRxCBjtftLXeNEG0UMAAAAAJgSbXZ/Jmuxig0lyW4UMchYXUF3EWO3N/RwJQAAAACgv8Va3cdFeHcxYP9QxCBjxUJlrrHV2WgmCAAAAABAcc8uhY5AaQ9XYm8oYpCxEuFy19gfbTSSAwAAAAAgOR3uXQpRipheoYhBxnIKyl3jUFejkRwAAAAAAMnyFDHeXQzYPxQxyFi+Ivdj0CKxRjNBAAAAAAAKdLq3JiUKKg0lyW4UMchYodJq17g40WgmCAAAAABAXfGEOp1g99jy/PEc+ydgOgDQk3DZINe43G4ylAQAAAAA8N3wlVrTcIkKFVWl1axvHjLDdKSsRBGDjFVcOdg1LrI61dnRpkhBkaFEAAAAAJC/6tu6JFlqV0TtTkQlAwbt82uQjK1JyFhlA4YkzTXW1RhIAgAAAAD5zXEcNbR3ueYGFIUMpcluFDHIWCXlVYo77h/R1vrthtIAAAAAQP5q7owrlnBcc5UUMb1CEYOM5fP71Wi5n0vfThEDAAAAAGm3qzWaNDegKGwgSfbjjBhktMcjH1Fja7t2OaWqd0p1enisjjAdCgAAAADyzAfnw+xWEPSrIOQ3lCa7UcQgoz074AL9q3FX93haosxgGgAAAADIT501b+vz/qe0yynVLpVKhclnemL/UMQgo3n3HO7ytLAAAAAAgP4X2vqabgje2z1+NzFB0n+bC5TFOCMGGc17CneqfYkAAAAAgP6VaN3pGncEy80EyQEUMchoA4rdhz959yUCAAAAAPqf1b7LNe4KVRpKkv0oYpDR2JoEAAAAAOYFOt1FTKJggKEk2Y8iBhnNvTXJUUdrk7EsAAAAAJCvwtF690RRlZkgOYDDepHRhnWt05Ohb6vSalalmhVtC0nabjoWAAAAAOSVwnija+wrrjYTJAdQxCCjlRUXaZRvY/c4pA5FO9sVjhQaTAUAAAAA+aUk0egah8soYnqLrUnIaGUDBifNNdbVGEgCAAAAAPnJsW2VO+5jIgrKkz+rYf9QxCCjlVZUK+64f0xbdrE1CQAAAADSpaW5QSEr4ZorrqCI6S2KGGQ0n9+vJqvENdfRuMNQGgAAAADIP80pdiWUV1PE9BZFDDJei6/MNY421RpKAgAAAAD5p7XBvSuhwwmpsKish6uxLxQxyHhtgQrXONay01ASAAAAAMg/3l0JTVaZZFmG0mQ/ihhkvM6Qu4hRGytiAAAAACBduprdn8Fa/KyGORgUMch48UL3Y9H8bayIAQAAAIB0sZvcW5PaQlWGkuQGihhkPLtokGsciVLEAAAAAEC6tEe71OwUdI+jkeq9XI19CZgOAOxLoGyIa1zcVWcoCQAAAADkn/uLPquLoqcooqiqrUZdcMg4zTIdKouxIgYZL1Ix1DUut+sNJQEAAACA/FPbEpUkdSqszc4gFVSPMpwou1HEIOMVVw1zjSvVrFhX1FAaAAAAAMgvO1vcn78GloQNJckNFDHIeOUDRyTN1dduMZAEAAAAAPKL4zgUMX2MIgYZr6xykGKO3zXXRBEDAAAAAP2usT2mroTtmhtYGjGUJjdwWC8yns/v158CH9WuqE+1TrlqnXKd5xuiCaaDAQAAAECOq21JPhaiupgVMQeDIgZZ4cGKS/TGlqbu8dwoDSwAAAAA9LfWrW/ri/7HPvijuMrVHh6kUIDNNQeDIgZZobokIml3EVPb0mkuDAAAAADkCXvLEn07+Ofu8QZrpKTPmwuUA6ixkBUGlrqXvqVaHgcAAAAA6FuJphrXuCU4wFCS3EERg6zgPZW7tpkiBgAAAAD6XWuta9gZqTYUJHdQxCArVHuKmJ1sTQIAAACAfhfocBcx8cKBhpLkDooYZIWBJbsP5/XJVldz7V6uBgAAAAD0hYLoTtfYKh5kKEnu4LBeZIXh9jY9FrpGA61GValJdtQnO3GmfH6/6WgAAAAAkLNKY7tc42D5EENJcgdFDLJCZXmpBvk2dI/9SqihvlYV1fwfAQAAAADoLxV2g2TtHhdUDDMXJkewNQlZoXJg8i97Y+0mA0kAAAAAID+0tzap2OpwzZVUU8QcLIoYZIVgKKIGlbrmWuu2GkoDAAAAALmvfvvmpLmKQSMNJMktFDHIGg2+Ste4o36LoSQAAAAAkPuaPLsQ2pyIiksrDKXJHRQxyBotYffp3IkGihgAAAAA6C8ddRtd4zp/taEkuYUiBlmjs9B9MK+/ha1JAAAAANBfYp4/fjcHKWL6AkUMsoZd4i5iIh07DCUBAAAAgNzna9nmGncUDDaUJLdQxCBrBMpHuMalXRQxAAAAANBfQu01rnGihCcm9QWKGGSNgmr36dwDEjsNJQEAAACA3NcUD6neKe4e+8spYvpCwHQAYH+VDRrtGpdYHWppqldJWWXqLwAAAAAA9NoVia+oPtqliKIaYtXr+xNONB0pJ7AiBlmjeuiYpLn6besNJAEAAACA3NYZS6i+reuDf1dY650hGjhwyD6+CvuDIgZZI1JYrAaVuOaaajf2cDUAAAAAoLe2N3UmzQ0uixhIknsoYpBV6j3Pre+s22QoCQAAAADkrm1NHa5xSTigkkjQUJrcQhGDrNISHuQaJxq39HAlAAAAAKC3vCtiWA3TdzisF1nl/apTtGDdYNU4A7TdqdSEgpk6xnQoAAAAAMgxNZ4iZkh5gaEkuYciBlllx5izdPO7k7vHiY5Sg2kAAAAAIDdVb3hUl/nfVo0zQDWq1MTCo01HyhkUMcgqQ8vdy+G8LS0AAAAA4OBNqH1W5wQXdY8Xtn9B0knmAuUQzohBVhlS5l4Ol+okbwAAAADAwSnp2uEaB8qHG0qSeyhikFWGeA6Iao3G1dwZM5QGAAAAAHJTZaLONY4MGGEoSe6hiEFWSXVS99aGjhRXAgAAAAB6o62lURVqcc2VDhptJkwOoohBVgkH/BpUGpYkBRXXSGuHdtRsNZwKAAAAAHJH7eb3kuYGjZxgIElu4rBeZJ0b/ffoyPCrGqwG+SxHi9Z8QzrqOtOxAAAAACAnNNWsdY3rVK6qwmJDaXIPK2KQdaqDHRpq1ctnOR9MNG40GwgAAAAAckhn7TrXeFdgsKEkuYkiBlknXuo+JCrcusVQEgAAAADIQZ4/drcWDDUUJDdRxCDr+CpGu8ZlndvMBAEAAACAHOT9Y3dXCU9M6ksUMcg6hYMOcY2rEzvk2LahNAAAAACQW0o9f+z2V442EyRHUcQg61QMHe8al1gdam7YaSgNAAAAAOSW6sR217hw4CE9XIneoIhB1hk4/BAlHMs1t3NL8uPVAAAAAAAHpqmhTqVqd82VDx1nKE1uoohB1gmGwtppVbnmmmveN5QGAAAAAHLHzk3vuMa2Y2ng8LGG0uQmihhkpV0h9+PTuurWG0oCAAAAALmjZfta13inValQpMBQmtxEEYOs1F4wzDW2GjcZSgIAAAAAuaO23dYK+xDtckokSbuCQwwnyj0B0wGA3oiXjZSado8jbVt6vhgAAAAAsF/+5Zuh33d9X5JUpA6dM75MNxjOlGtYEYOsFKgc5RqXRWsMJQEAAACA3LGloaP739tUoJKBo/ZyNXqDIgZZqWiQ+7CowYntshMJQ2kAAAAAIDdsrHc/MWlEBefD9DWKGGSl6lGTXeOIFVPttg1mwgAAAABADkjYjjbtchcxo6uKDKXJXRQxyEpVg0eq3Qm75uo2rTaUBgAAAACyX01Th7oStmtu9ACKmL7GYb3ISpbPpz8Xfkbrmy1tdAZpvTNYl/oP1+GmgwEAAABAltpQ514NUxwOqKo4ZChN7qKIQdZaOvxzenLl9u7x+vpOg2kAAAAAILvFVz+mm4MPaoM9WOudwYqXHyrLskzHyjkUMchaozxL5NbXtRlKAgAAAADZL7LtNX3c/6rk/2C8NDFH0vkmI+UkzohB1hrjKWI2UMQAAAAAQK9FWja4xl1lY8wEyXEUMcha3tO7N9a3y7YdQ2kAAAAAILtVdG52jQPVYw0lyW0UMchao6sKXeOuuK2aZs6JAQAAAIADlYjHNSSx3TVXMnSioTS5jSIGWau6OKyikF9+JTTS2qEP+d7Qto3vmY4FAAAAAFlnx5a1Cllx11z1qEMNpcltHNaLrGVZln4TvllHW68raCUkSa+9E5SOPMJwMgAAAADILrs2rdbQPcYtToEqq4f2eD16jxUxyGqRcLi7hJEke9dag2kAAAAAIDu117zrGm8PDJPlozLoD7yryGpRzyneBZ5TvgEAAAAA++Z4/qjdXDjCUJLcRxGDrBaoHucaD+jYaCgJAAAAAGSvwuZ1rnGs7BBDSXIfRQyyWtmIw13joXaNop3thtIAAAAAQHaq7tzgGgcHTzYTJA9QxCCrDRnrPpjXbznatm6VoTQAAAAAkH3aW5s0RDtdc+UjD+/hahwsihhktZLyAapVpWuufsNbhtIAAAAAQPbZ+v5K19h2LA0bN8VQmtxHEYOsVxse5Rp3bX/bUBIAAAAAyD5Nm9xFzHbfQEUKiw2lyX0UMch6baVjXeNQw3uGkgAAAABA9ontWOMa74yM6uFK9IWA6QDAQaueqD23M5a3rzeXBQAAAACyzBvx0apJHK9x1laNtbapo2zcvr8IvUYRg6xXPOwwafXu8bD4FiXicfkD/HgDAAAAwL482D5Na2MTJEmWbP106iTDiXIbW5OQ9QZ5npwUsWLavuldQ2kAAAAAIHvEErY27mrvHjvyafSQKoOJch9FDLLegIHD1KQi19zO9W8aSgMAAAAA2WPjrjbFbcc1N24gB/X2J4oYZD3L51NN0H2YVOe21T1cDQAAAAD4j/d2tLrG1SVhlRUEDaXJDxQxyAnNxYd0/3unE1RzU5PBNAAAAACQHd71FDHjqlkN0984zRQ5oXbcOfryq2P1jjNCG5zBmmyX6zTToQAAAAAgw62pcf8Re9KQEkNJ8gdFDHLCgEnH66lXdv84v1fbqnjCVsDPoi8AAAAA6MkV6y/WF0OW3rFHao0zQlPLLzQdKedRxCAnTBrsbm274rY27GrTuIG0uQAAAACQSkdbi8YmNsjnczTVt06S9G7Rpwynyn0UMZLi8bjef/99vf3229q5c6caGxtl27bKy8tVUVGhMWPGaOrUqQqFQqajogcVRSENKg1rR3O0e+7tmhaKGAAAAADoweZ3lmuCtfuJSbZjacTEowwmyg9Gi5h169Zp6dKlrn8aGhqSrnvxxRc1Z86cPvu+7e3teuWVV/Tiiy/qxRdf1BtvvKFoNLrXrwmHw5oxY4YuuOACnX/++SoqKtrr9Ui/SYNLtaN5Z/f4ne0t+uiRBgMBAAAAQAZr2rDcNd7qG6IRRfwxu7+lrYhZv369lixZss/Spb90dHTo8ccf14MPPqgnnnhC7e3tB/T10WhUr776ql599VV985vf1DXXXKOrrrpKfr+/nxLjQE0aXKIF7+4uYtZsbzaYBgAAAAAyW2L7W67xzsJxGmEoSz5JWxEzbdo0NRl8pPBDDz2kCy64oE/u1dzcrG9961v629/+pgceeEAjR47sk/vi4EwaUqIKNWuSb7MmWZs0flOzpD+YjgUAAAAAGam48V3XODpgkqEk+YUzYvZQWFiowYMHa+DAgSooKNCuXbv03nvvqaOjI+X1r732mk466SS9/PLLGjp0aJrTwuvI0DYtj3xp90RCam6qV2lZpblQAAAAAJCBHNvWsK61rrnwsCMMpckveV3E+P1+nXrqqfrwhz+sE044QVOnTpXP537ccVdXl1599VXdeuuteuSRR5LusXbtWp122mlatmwZh/kaNnzsFMUcv4JWontu25olKp11msFUAAAAAJB5du3Yoiq1uOYGjp1mKE1+8e37kv4zcuRIffzjH9f8+fP19NNPa8mSJWn5vmPGjNFNN92kTZs26amnntJXv/pVHXXUUUkljCSFQiHNnTtXf/vb3/TII4+orKws6ZpVq1bpZz/7WTqiYy9CkQJt8Q93zXkPnwIAAAAASFvXLHaN252who6ZbChNfknbipiRI0dq3Lhxmj59uqZPn64ZM2aoqqrKdc2GDRv6NcPo0aN17bXX6sILL1QgcOD/6WeeeaYeffRRnXbaaerq6nK9Nn/+fF1++eU8TcmwupKJGtO0sXts1awwFwYAAAAAMlT7RvdCiE2hsZrEw2jSIm1FzJtvvpmub5XSvHnzdO655yoYDB7UfT70oQ/piiuu0A9/+EPXfFtbm55++ml98pOfPKj74+AkBh0hNT3bPR7QssZgGgAAAADITOGd7icmNZUfaihJ/jG6NSmdqqurD7qE+Y8rr7wy5TamJ598sk/uj94rGzPDNR4Z36jOjgN7VDkAAAAA5LrB7e+4xr6hRxpKkn/ypojpS1VVVTrqqKOS5jdu3JjiaqTTiMNmu8ZBK6HNa9Jz9hAAAAAAZIPGuu0a6tS65gaMn2UoTf6hiOmlkSNHJs1t377dQBLsqbi0Qpst96PE699/3VAaAAAAAMg8m1e/5hpHnaBGTphqJkweoojppVTbnFJtV0L61RZPck/UvGEmCAAAAABkoLYN7l0DG4NjFAiFDaXJP2k7rDfXpHrC05AhQ9IfBEliA6dILf/oHlc2rzaYBgAAAAAyy6P6kO7u8usw33pNsdbLGniEJpgOlUcoYnqhsbFRy5YtS5ofN26cgTTwKh4zQ1q7ezwqtl6xrqiCNLwAAAAAoEW1Aa23j9Yz9tGSpB/OmGI4UX5hL00v/PGPf1QsFkuaP+OMMwykgdeIQ49xjUNWXBvf5sBeAAAAAGjqiGl9XZtr7rChZYbS5CeKmAPU3t6uH/3oR0nzpaWlOvnkkw0kgldZZbW2WO5tYnXv/MtQGgAAAADIHG9sbnSNQwGfJg4uMRMmT1HEHKAbb7xRmzdvTpr/yle+onCYrS+ZYnvJYa6xfysrYgAAAABghaeIOXxoqUIBqoF04oyYA/Diiy/qZz/7WdL8kCFDdPXVV/fJ99iyZcteX6+pqemT75Pr4kOmS83Pa4tTpRX2OK2MTtLRpkMBAAAAgGHeImbqiAozQfIYRcx+2rp1qz796U/Ltu2k1+644w6VlPTNUq4RI0b0yX3yXdHR5+noN0Zpp8o/mGiU/qc9prLC5MeOAwAAAEA+cGxbpRuf1UCNUq0+KGCmjiw3GyoPUcTsh7a2Nn30ox9VbW1t0mtf/OIXdeaZZxpIhb2ZOHqkmgJvS/HdxdkbWxp14oRqg6kAAAAAwJxtG97WLc6PpYi01RmgFfZYHTnoT6Zj5R2KmH2IxWL61Kc+peXLlye9NmPGDP3iF7/o0++X6vyZPdXU1GjmzJl9+j1zUSjg02FDS7V8U2P33IrNFDEAAAAA8lfNqn9q2L//fZi1SwX+mCoGDjCaKR9RxOyFbdu64IIL9NRTTyW9Nm7cOD322GN9fkDv8OHD+/R++WzqiPKkIgYAAAAA8lV80+uu8aaCQ1Xp46DedOMd74HjOLrooot0//33J702cuRIPf/88xo8eLCBZNhfU0eUu8bLNzXIcRwzYQAAAADAsMqGN1zjjoFTzQTJcxQxPfjyl7+se+65J2l+6NCheuGFFzRq1Kj0h8IBOWqk+/TvlvYOravZZSgNAAAAAJjT3tasMbG1rrmSsccYSpPfKGJS+OpXv6o777wzaX7gwIF64YUXNG7cOAOpcKCGVxRoXvF6fT3wV/0p+H2tDF+sXQvvMx0LAAAAANJu3YqXFbQS3eO449OYqR8ymCh/cUaMx5VXXqlbb701ab6qqkovvPCCJk2aZCAVesOyLH0h8pymx1/aPblpkbE8AAAAAGBKy7uvuMbrg4dofGlFD1ejP7EiZg/f/OY39fOf/zxpvqKiQs8995wOP/xwA6lwMOLDZ7nGQ5tXmAkCAAAAAAYV7XAf1Lur8ihDSUAR82/XXHONfvKTnyTNl5WV6dlnn9XUqVPTHwoHrerQOa7xcKdGdTWbzIQBAAAAAAPisS6N7VjlmgsdcpyhNKCIkXT99dfrpptuSpovLS3Vs88+qxkzZhhIhb4w+tCZanUKXHMbV7xgKA0AAAAApN+G1a+ryOp0zY2cepKhNMj7IuZ73/uevve97yXNl5SU6Omnn9bMmTMNpEJf8QcCWldwmGsutu5fhtIAAAAAQPrVrV7gGm+xhqhq8EhDaZDXRcxNN92k66+/Pmm+uLhYTz75pI45hkd55YL2Qe4VTdX1SwwlAQAAAID0C21Z6BrXlE01EwSS8riI+elPf6prrrkmab6wsFBPPPGEjj/+eAOp0B9KJ891jcfE16uxbruhNAAAAACQPnYioTFty92To441EwaS8rSI+cUvfqFvfOMbSfOFhYV6/PHHdeKJJxpIhf4ybuqH1OGEusc+y9H6pc8YTAQAAAAA6bF+9euqUItrbvhR8wylgZSHRcwdd9yhr33ta0nzBQUF+vvf/665c+cmfxGyWihSoLUR9zkx0fcW9HA1AAAAAOSOVRtr9Lo9QTHHL0naag3SkFETDafKbwHTAdLprrvu0qWXXpo0H4lE9Oijj+rkk082kArp0DL0WGn97uV4g+sXG0wDAAAAAOnx913D9XzXjSpUp2b43tFp44p0vulQeS5vipgHHnhAl1xyiRzHSXrtW9/6lkpKSrRo0aKD/j7Tpk1TOBw+6Pugb1UedrK0/pfd49H2Zu3cvknVnBQOAAAAIEfFE7ZeW1cvSWpXRC/bR+qTR001GwrpK2I2bNigMWPG9Opr92e70Pr16zV69OgeX3/yySdl23bK12688UbdeOONvcp2oDlgxtgjT1DrYwUqtjq65zYufUbVZ1xiMBUAAAAA9J9V25rVEo275o45ZIChNPiPvDsjBvkpEAxpbeEU15z9/ouG0gAAAABA//vn+3Wu8biBxRpYGjGUBv9BEYO80THc/Uhyf+PGlFvVAAAAACAXvPzuTtf4uLGshskEeXNGDDB4+sf07JoFetk+QgvsI7TZGaTnals1flCJ6WgAAAAA0KdaO6JaurHeNXfihGpDabCntBUxQ4YM0cKFC/v1/ntzzz336J577um374/MN2riVH2m8FrVNHV2zy14dydFDAAAAICc8/4/H9I/g9folcQUvWwfoUXWEZrN+TAZIW1FTDgc1uzZs9P17YAklmXpxPHVun/J5u65l9+r08UnHGIwFQAAAAD0veg7z2mw1aBPBV7Wp/SyVoWOUFH4XNOxIM6IQZ7xLsV7bd0udcYShtIAAAAAQP8YtutfrnHzsBMNJYEXRQzyyvHjquSzdo+jcVuvra/v+QsAAAAAIMtsXbdKw53trrnqqacbSgMvihjklbLCoI4cUe6ae3FNrZkwAAAAANAPNi96xDXepTIdcjhHhWQKihjknZMmDpRPto6y3tU3An/RvBVfkWPbpmMBAAAAQJ8o2vica7yu/Fj5/H5DaeDF46uRd+aNsHVe+MsaYLV8MGFLG95ZrtGTp5sNBgAAAAAHqaWpXhM735T2OJIhMOnD5gIhCStikHfGjxuvmBV2zdW8/oiZMAAAAADQh9599VGFrN0PJOlyAhp/7JkGE8GLIgZ5x/L5tHHA8a658s0vGEoDAAAAAH3Hfucp13hNwZEqLq0wlAapUMQgL0UOO8M1ntC1WvW12wylAQAAAICDF4/FNK7J/djqjtGnGEqDnlDEIC9NPOYMtTu7tyf5LUdr//mgwUQAAAAAcHDeWfysKtTimhsx6xOG0qAnFDHIS5GCIq0pnumaC773hKE0AAAAAHDwWlY87Bqv9Y/R0DGTDKVBTyhikLfsSR91jQ9tX6rmpnpDaQAAAACg9+xEQofs/IdrbufweYbSYG8oYpC3Jp5wtrocf/c4ZMX17it/NZgIAAAAAHrn3eULNFDuPywPmX2OoTTYG4oY5K2S8gF6u3C6a8739mOG0gAAAABA77399io1OkXd402+YRo16SiDidATihjkta5x7qcnTW5dpLaWRjNhAAAAAKAXHMfRz2sO04zoHTq/69v6Y/xkrRvxCcmyTEdDChQxyGvjTzxXcWf3r0GB1aW3FzxgMBEAAAAAHJgVmxu1ub5DcQX0T3uKro1fpKrTvmE6FnpAEYO8Vl49RKsL3Mv1Aqsf7uFqAAAAAMg8f39jm2s8pqpIhw0tNZQG+0IRg7wXnfRx1/jQtsVqqt9pKA0AAAAA7L+E7eiJN2tccx89cqgstiVlLIoY5L1Jcz6jqBPsHjvyaflr/9jLVwAAAABAZnht/S7VtkRdcx87coihNNgfAdMBANNKygdoSfFxamlu0GOJY/SsPUNTNo/QHNPBAAAAAGAfnln6nms8eUipxg0sMZQG+4MiBpC047Rf6dI/r+geL1y3S5vr2zWistBcKAAAAADYi872Vl2x6pM6NThaDyVO1NP20frokRNNx8I+sDUJkHTyoYNVVhB0zT24dIuhNAAAAACwb2+9+GeVWW063r9KN4fu0GvhS/XxyayGyXQUMYCkSNCvs6YOdc39dclmJWzHUCIAAAAA2Lvgyvtd402RiRoyaJChNNhfFDHAv31qxgjXeFtTp/61ts5QGgAAAADo2c5tG3V4xxLXXMeh5xpKgwNBEQP82+HDynTokFLX3MOL1xpKAwAAAAA9e//538pv7V7B3+ZEdNjJnzWYCPuLIgbYwzkzhsuSrWN9b+mW4O268d1PqGnXDtOxAAAAAKCbY9sasf5B19zqirkqLC4zlAgHgqcmAXs484hBOvHZ03WIta177rXn79asc79lMBUAAAAA7LZq4RM63KlxzZUc8/8MpcGBYkUMsIeKkkI1lExwzQ149wFDaQAAAAAgWeeiu13jjb4Rmnj0KYbS4EBRxAAewRmfc43HJdZq7Zv/MpQGAAAAAHZr2FmjI5oXuOZqxp4jy8fH+2zB/1KAx2HHn6kdGuCa2/XiLw2lAQAAAIDd1jx5m0JWvHvc5QQ0ad4XDCbCgaKIATz8gYDWjfiEa+7I+mdUX7vVUCIAAAAAkGJdUY1d/2fX3Jtlc1VeNdhQIvQGRQyQwvgzLleX4+8eh62Y3nnyNoOJAAAAAOS7N577gwaq3jVXNvdyQ2nQWxQxQApVg0fqjXL3YVdjN9yvrminoUQAAAAA8l3J8t+4xm8HD9X4aScaSoPeoogBelBxkrtZHqh6vfns7w2lAQAAAJDP1ix5QRPj77jmOo7ibJhsRBED9GDckcdrdfBw11zpG7+VY9uGEgEAAADIV795p0DXxT6vtfYQSdJ2VemIUz5rOBV6gyIG2Ivo9Etc4wnxd/XO0n8YSgMAAAAgH9U0deiRVY26L3GqTun6if6762q9edjVCgRDpqOhFyhigL044pTPqsaqds21LeDQXgAAAADpc+/CjUrYjiTJkU+L/Udp1hmfN5wKvUURA+yFPxDUxrHnu+amtizQ5vffMpQIAAAAQD5p7ozp3kUbXXOfnD5MZYVBQ4lwsChigH2YfMZlanfC3WO/5WjzEz82mAgAAABAvvj9qxvU0hl3zV147BhDadAXKGKAfSirqNKbQ8+RJDU4xfpJ7Bx9ecfHtGlXu+FkAAAAAHJZa2dMv/3netfc6VMGa9zAYkOJ0BcoYoD9MP6sb+ln9nk6PvoL/TJxlprsAt2x4H3TsQAAAADksDcf+K5+Gv+hpljruucumzveYCL0BYoYYD8MGDRcnbO+ojYVdM/9dekWbWlgVQwAAACAvtfW0qTJ6+7Rqf6leix8ne4O/kgXjmvXoUNLTUfDQaKIAfbTJSceonBg969MLOHo/xasNZgIAAAAQK5689GbVaHm7vFc/xs6/+ghBhOhr1DEAPtpYElE580a6Zp74PUtqmnqMJQIAAAAQC7qaGvR+Pfvds29UTBL44483lAi9CWKGOAAfPHEsQr5d//adCVs3f3MYoOJAAAAAOSaFQ//VFVqdM0VnPJtM2HQ5yhigAMwuCyic48eIUmqVoNuCvxGV676hDa+s9xwMgAAAAC5oLFuuw5b+xvX3JuRGZowfa6hROhrFDHAAbp07jh9JfSYFoSv0GcCLypsxVX/KO00AAAAgIO35oHrVao211zktO8YSoP+QBEDHKDBZREdNyKsQivaPTetfaFWLXzKYCoAAAAA2W7rulU6asdfXXNLS07ShKPmmAmEfkERA/TCYefcoHq5HxsXfOF62YmEoUQAAAAAst32h69RyNr9maLLCWjIJ24ymAj9gSIG6IWSskq9d+hlrrkJ8Xe17KnfGUoEAAAAIJutef0FTW99yTW3bPCnNHTMJDOB0G8oYoBeOuqsr2mzNdQ1N3TpT9TZ3mooEQAAAIBs5Ni2nGevc801q0iHnvNdQ4nQnyhigF4KhsKqO+Za19xQp1bL/3SDoUQAAAAAstHrj/5Kk2OrXXOrx39RpQMGGkqE/kQRAxyEqaecp7dDh7vmpm++R5vee8NQIgAAAADZpLFuh8a/8UPX3DZrkKZ98huGEqG/UcQAB8Hy+RQ58+eKO7t/lUJWXM1/vVyObRtMBgAAACAb/OHpl9XuhFxzdSd8T+FIoaFE6G8UMcBBGnPYLC0Z8hnX3OHRFVr6xG8MJQIAAACQDZZsqNfP3yrUqdGf6P/iH1HM8WtZ0Qk64qRzTUdDP6KIAfrAEef/QNtV5ZobvfQHaqqvM5QIAAAAQCaLJWxd+7e3JEntiuiH8fP0KeeHGvaZXxhOhv5GEQP0gcLictUc+7+uuSo1as19VxhKBAAAACCT/faV9XpnR4tr7iOnnqJBw8caSoR0oYgB+si0Uz+rNwpmu+Zm1T+q5a88YSgRAAAAgEy0Znuzbn7uXdfc5CGluvDY0WYCIa0oYoC+Ylka+Olb1e6EJUldjl8/iZ2jS18OqKk9ZjgcAAAAgEzQFY3qqr8sU1di98M9LEua//HDFfDzET0f8L8y0IeGjJqotw67UmvsETqr63v6ZeIsbWuJ6/q/v2U6GgAAAIAMsPTea/T9+it0iLWte+4LJxyio0ZWGEyFdKKIAfrY0Wd/Qz8e9X9a7Yzunnt0xTY98WaNuVAAAAAAjHtn2QIdvfkuTfWt1ZOhb+tC/9OaOLBQXz91guloSCOKGKCPWT6ffnD2DJVGAq756x5ZqR3NnYZSAQAAADCpva1Zkcf/RwHrgy1JESumawN/1O2nFSsS9BtOh3SiiAH6weCyiL531uGuuYb2mC7/83LF99gLCgAAACA/vPWbL2qUvcU1t3TURRp/+NGGEsEUihign3zsyKE6fcpg15x/48v65x9uMJQIAAAAgAmL/3arZjY+6Zp7LzBeM87/vqFEMIkiBugnlmVp/llTNLQsIp9sfdX/kO4L3qQ5G2/VGy/+1XQ8AAAAAGmw7q3XNGXF91xzbU5EkXPvUiAUNpQKJlHEAP2ooiik28+bprtCP9XXgw/JZzmSpJELvqbtm9caTgcAAACgP7U2Nyjw0OdVYHW55tfMmq8R448wlAqmUcQA/eyoUZUqmHiya65CLWr6/Xnq7Gg3lAoAAABAf3JsW+/8+kKNdLa65l+r+oSmn36xoVTIBBQxQBrM/Mx1WlF4rGtuYnyNVv7fhXJsDu8FAAAAcs2ie67W9NaXXHPvBcZp6sW/NBMIGYMiBkgDy+fTmEvu1TZrkGv+6KZntOi+6w2lAgAAANAfljzxOx2z6deuuWYVquiz9ykcKTSUCpmCIgZIk7KKKkXPvlftjvtArllrb9eyZ+8zlAoAAABAX3p32QIdvvhq11zCsbRxzm0aOmayoVTIJBQxQBqNOWyW3jvhFtmO1T3nsxxNevUKvf/GqwaTAQAAADhYNdu3qeLv/62IFXPNL5n0DU2Zc7ahVMg0FDFAmh15ynlaPPYrrrlCK6ryv52nLWtXGUoFAAAA4GA0tHXp/Pve0R/jc13ziys/ppnnfttQKmQiihjAgFnn/6+WlM1zzVWpUdZ9H1fdto2GUgEAAADojbZoXBfe87rW1rXrlvjZuj7237IdS6tCR2jal34ry8dHb+zGTwNggOXzacqX79Hq0BTX/DBnh5p/+zE1NdQZSgYAAADgQHTFbX3pvqV6Y3Nj99wfEvN0Y+G3NfyLDyoYCvf8xchLFDGAIeFIoUb8z6Na6z/ENX+IvUEb7jhbbZ2xHr4SAAAAQCaIJ2x9/YEVeuU99x9Sh5ZF9KUvXq6yAYMNJUMmo4gBDCopH6CyS/6urdbu/wMddYL6aes8ff6eJWqLxg2mAwAAANCTeKxLN933mJ54s8Y1X1EY1B8umqWh5QWGkiHTUcQAhlUNHiHrc4+oTuWKOkFdHLtSr9hHaPGGel1492K1UsYAAAAAGSUe69KKW8/VV9d9SUdYa7vnC0N+3f35mRo3sNhgOmQ6ihggAwwdM1ktn3pQX/dfrVfsI7rnX9/QoAvvoowBAAAAMsUHJcw5mtHyD5Va7bovdJOmWOsUDvj06wtmaOqIctMRkeEoYoAMMeawmbr8C19UZVHINb9kY4M++9vXVN/WZSgZAAAAAEnqaGvVyps/phktL3bPlVrt+l3oZ7r7s1N0/Pgqg+mQLShigAwyaXCp/nTJrKQy5o3Njfrtbd9VzcZ3DSUDAAAA8ltTfZ3W3zJP09oXuuY7naBqT/mFjp083FAyZBuKGCDDTBpcqj9fMlsD9ihjPul7Wd/svE3+u+dpw9tLDaYDAAAA8k/t1g3adfvJOjT2lmu+0wlq7Sm/0+EnnGkoGbIRRQyQgSYOLtH9XzxGw8oLdJJvmX4U/LUkaaDqVXH/R/XWPx83nBAAAADID+tWLVbiN6foEHuDa75ZhVp/+n06jBIGB4giBshQ4wYW669fmqWrCx5RwLK758vUponPfU6L/vozg+kAAACA3Lf8+b9o0AMf1RDtdM3XqVy7PvWIJs/6sKFkyGYUMUAGG1JepMH/86TWBCe75oNWQrPf+q4W/uoLisc4xBcAAADoS45ta+G9N+rIV76kIqvT9doWa4i6/vsZjTlslqF0yHYUMUCGKxswSKO+9pxWFB6b9Noxtffr7Z/OU33tNgPJAAAAgNzT3tasJb84V8esvVk+y3G99m5gogq+9LyGjplkKB1yAUUMkAUKikp0xJWPa9HQzyW9NiW6TLFfHa81r79gIBkAAACQO9buaNKWn8/V0U3PJr22tPQUjbzyRQ0YxNORcHAoYoAs4fP7NfsLt2nJtB+oywm4XhukXRr7+Ke08E/fl2PbPdwBAAAAQE8ef3ObPvbLhfpj53FJry0afamO+tqDihQUGUiGXEMRA2SZGWdeqnVn/EV1KnfNB62Ejnn3J1rxk9NVt2OrmXAAAABAlmmLxnX1X9/UZX9arrauhH6fOE2PJWZLklqdAi0/5jbNvvAHsnx8fEbf4CcJyEKTZp4qfekVrQodkfTatI6F0h3Hask/nzKQDAAAAMgeyzc16PRbX9H9SzbvMWvpW7FL9ErwWDWc/6ymzUs+HgA4GBQxQJaqGjxSk775Dy0admHSawEnpsse36lr/7ZSrdF4+sMBAAAAGawr2qkn/vxLnf1/C7VxV3vS6/81fbxmfONxjRif/IdP4GBRxABZzB8IavYlv9AbH/qNdqmse/6a2EXargH642ubdNrPF+ild2oNpgQAAAAyx7vLXtaWH83SGe9co9O0yPVaYcivH599hH5y9hEqCPkNJUSuo4gBcsCRc8+RvvwvvVEwS39NnKgn7dndr21r6tSFd7+uKx5Yofq2LoMpAQAAAHPa25q18M5LNfbRj+kQe4Mk6bvBu1WmVknStJHleuqrJ+icGSNkWZbBpMh1gX1fAiAbDBg0XJXfeFqrF61VwVNr1RFLuF5/eNlWvb96ha6dvEPTP3GFAsGgoaQAAABA+ji2raXP3Kvhr31Xx6hO2qNjqbaa9Z3gH7X5xJ/qKyeNU8DPWgX0P37KgBxi+Xz6zLHj9czXTtSxYwd4XnX09cRdmvX2D7TxpqO1eiGH+QIAACC3rV3zht740ama8drlGqy6pNfX+Udr6ie/oa+fOoESBmnDTxqQg0YOKNQfL56lH35iikrCHyx8O9m3THP9b0iSxtrrdegzn9aSn31SO7auMxkVAAAA6HPNdTV67ZcXaeSf52pqdEnS611OQItGfUkjrn5N46aeYCAh8hlbk4AcZVmWPj1zpOZMHKgfPL5SV7xzX9I1M1qeV+evZ2rhkHM06ezrVVE12EBSAAAAoG+0tzbpzb/+UIdvuFuz1OHahvQfq0NHqOgTt2j2pOnpDwiIFTFAzhtcFtGtnz1abfN+rvW+UUmvR6yYjtn+RwVum6qFd31DLU31BlICAAAAvReNdurV+3+qtp8eqdkbfqVidSRdU6cKrZj5U03+1gKNooSBQRQxQJ447LiPaMS3l+i1SVerWUVJr5dYHTpm068Vv/kILbzvRrW1NBlICQAAAOy/rritB17frK/+7Hc67u3vqVoNSddEnaBeH3aBiq5crqmnXyLLx8dgmGU5juOYDoH9t2XLFo0YMUKStHnzZg0fPtxwImSj+tqtev/+b2ta3eMKWomU1zSqWG+P+IwmfexKVVQPSXNCAAAAoGdt0bj+vHiTfvfP9app6pQk3R/6rmb51nRfYzuWFpeeqpFnz9fQURNMRUUW66/P3xQxWYYiBn1p69q3VPPojTqq6Xn5rNT/p6DdCetPE27RvP86SyMqC9OcEAAAANhtV3Obfr9oi36/cKOaOmKu1473rdR9oZskSSsjM1Rw+vc17ohjTMREjuivz98c1gvksWFjD9ewK/6q9asWq+mJGzS1/V9J17Qpop+sLNBNq17Shw8brAuOGaVZYyplWSlOPgMAAAD6wftv/kuNL96qivo3dHv0x7JTnLLxT/twPVdwukae8GlNOfZMAymB/UMRA0BjDpspHfaU3l36ojqe/6GO7FjU/dpd8f9SVCHJdvTEyho9sbJGEwYV64LZo3TWtGEqiQQNJgcAAECuikY7tOK5P6n4jd/psNiqDyYt6RTfUj1rH+26duboSl160jidOP4M/mCIjEcRA6DbhOlzpelztWH169r5zI81tvFfui9xStJ17+5o1XceXaXqp7+oiqrBKjv2Qk2c9iEOPgMAAMBB2/D2EtW+9BuN3/GkZqk56fXP+5/pLmJOmTxIX55ziKaPqkx3TKDXKGIAJBl96NEafeiD2lZbp7Nf26G/LN6sjpj7UN/RVo0+bC2Sdkl67BFtfGK4to06S4ec/P80aPhYM8EBAACQlRp31Wr1C3/QgHfv18T4uxq9l2uP8r2nz08J6zOnzNKEQSXpigj0GQ7rzTIc1gsTmtpj+uuyLbpv0Uatr2uTJF0XuFcXB55KutZ2LK2KTFPHhDM14UOfVnnV4HTHBQAAQBZoa2nUmgUPKLD6YU1uW6xQD0/z/I+dqtD7I8/V2NMv08DBI9KUEvmMpyZBEkUMzLJtR6+urdOf/rVW89d9UpVW616vjzl+vV0wVR3jP6oJH/qMKihlAAAA8lprNK4X3t6hxlfv0jm1t6rA6trn17wdmqLokZ/TYad+TsFQJA0pgQ/w1CQAxvl8lk4YX60Txldr+6YXtej532rE5kc0zNmR8vqgldARnUullUsVf/O7eit8hFpHnaShMz+ukeOPSHN6AAAAmLCtsUP/WFOrf6yp1avv1ykatzXdKtJ/h3suYXaqQu8N+aiGzb1Ykyccmca0QP+jiAHQK4NHTtDg//djOfYPteb159T82h80edcLKrE6Ul4fsGwd3rVCem+Fnlnzsv677Ds6adJAzZ04UDNGVygS9Kf3PwAAAAD9ItbVqXXL/qGGlc/onpYZero2+SDdZc54bXGqNNyq656LOkGtKZkt31Hna/IJn9CxwVA6YwNpQxED4KBYPp8mzZonzZqnzvZWLX3pL/KtekSTWxcpYsVSfs0L9jStr2vT7/65Xr/753qFAj5NH1mh48YN0EkDGjTh0KkK8P94AQAAsoKdsLX+7aWqfeNpFW55WePb39BEKypJejnWLumspK9x5NPjidm62P+kVhVMV+fEszRp7md0ZPmA9IYHDOCMmCzDGTHIFm0tjVrzyl9lrX5Uk1sWufb/Ht35S+1URdLXhNWlN8OXKKaA3i88Uh3Dj1fl5BM15rDZCoXD6YwPAACAHiTiMW1cvVh1b78s3+bXNKp1harVkPLahYlD9ZnYda65gM/SceOq9IkJQc2ZNFhlVUPSERs4YJwRAyCrFJWUa/rpF0unX6z21kYt/9fjir/9pDobt6csYSRpuu9dha2Ywoppasci6b1F0ns/VeejQb0dmqDGqmkKj56tEUd8SNVDRqb5vwgAACA/NTbUacMbr6h97asqqV2qQzpX6xCrU4fsx9dO972jQnUqWFCiOROrddKkgZozYaDKCoP9nhvIVBQxAPpdYXG5pp12vnTa+bJtR4/XNOuFt2v1j3dqtXJLo+x/r8s7zvdWyq+PWDFNjq2SalZJNfdJC6Wt1iBtL5qkrqrDVTjqKA2dPEvVPMYQAADgoDS2d2nVtmat2takt7Y2661tTfpcwy91YeDZ3RdZ+76P7VhaGzhEOwcep/tOnKojJoxRwO/rv+BAFqGIAZBWPp+lw4eV6fBhZfrqKePV3BnTa+vq9er7dZq8slFKfaxMkmHODg1r3SG1LpA2SImXLB0f/KPGDavWYUNLNWlwqcYPKtaYqiKFAxwEDAAAsKd4rEtb161W/foVim5bpWjDVl0Tu1hbG5MfvLDStz9rX6QdVpU2lc/S/2/vzsOjKNO1gd9VvaSzdhICSUggrCL7piAiuyyiMqKOOOKGOOp45uiHo44zozJuo3OcGcXxuB5gPOMCgyuKLEeFYVOWgIiyyhaWJGTfO+muer8/uhPAqg7dXb2lc/+uq69O3up66q1OPV3pp6rekntNRLeLp6N3p87oHeyOE8UAFmKIKKJSbBZM7peJyf0ygRmforSoAEe3r4J66N/IrNqFPPW4T3EOi844UQuc2F+CdftLWtplCbgjZTumm7bBkdYLlqx+SO3SF5269YOdg8ERERFRjKurrkDx0b2oPLEPDcUHYCk/iA51h5CrnECe5ETeWa+tdswEkKCJsVt01419XMrGqZTBkLtegtwhk5DdYyAyJR9OlyFq51iIIaKokpHVFRlX3QXgLgBAVVkxjn63Hg2HNiOpZCe6O/YiUXJo5vtB5GnaAEAVQLe6XRhm3gDUbwBOAsh3TytHMkrMnVET3wVOex5MHXogqfMF6NT1QnTIzIUk8/RZIiIiim5CCFTUO3G0rA4lx39E8oEPYa48jKT64+jkPIkMVOqP5aJTL+ktncAOcYGm/ZDojCqRiNPWXJR3GAZr90uRO3g8umR1BS8MJ/IfCzFEFNXsHTIxeMLPgQk/BwAoLhcO792GsgPfQBR+B3vVXnRpOowf1G5eY/SWT+q2p6MG6a79QM1+oAbACQC73NMcwoJSOQO7E0ZgTdcHkG23eR7xyE51P6clWCDxqA8RERGFiFBVVFeVobzoOKpOH4OjpACisgCrEmfgUJ0Np6oaUFTlQH2TAgAYJB3C8rhXAl5eH/k4digXwGqWcWFWMvp3TkG/znYMyrEjPvMoelutwVo1onaNhRgialNMZjN6DByFHgNHtbSpLhduKqnAwNNO/HCqCnsLa/BjcQ1OVTkACFwgnfB7OTbJiVxRiB3Vp/HRTv1Czt+tL+Mi+QBqTGmot6ajKa4DlPgOkJI6wZTcCbbULCSkZSOlYzbsaZm8BTe1aUJV4XQ64XI1up/leLggw6mocCkCLlWFUxFQHHUwl++D6nJCdTZBVZxQXe5n4XmoLiegOKEq7mcoTgjVCaG4sLvjVag0Z8ClqFBUQBUCqhCwOqtw+ak3IAkFECokoUKC2vI7hIAkFEhCQIJy5neokIWKZck3Y5+lH4QQUFQBVbhjy2oT/lL1ICShQoba8nrPWgNwHzSWPD+faXM/v2GejS9MY9xThDjrFcA/m+YhWdS2vF7gzAFo6Sdx3PNJLY/3TDOw1Hw1ZE+xV5YBCRJkCXjO8RSy1WIIyf1anDWfkGQIAAKye2kSoHp+FpKELXGjsSLpWkiQIEmASZZgkiXIkoSfVy1GjvMYhGSCKpkgJBMgyxAwQcgmQDJByLL7WXL/Dk97eWJPHOg0rSWeSZZgkiTIsoTc8q9hd5yCJJvcZxrKJkgmMySTFbLJAslkgWy2QPY8m8xWyGaru82WAqR2hVmWYTZJMJskWDw/WyQVJlmG2WxmUZzalEaXgqraetQXHUR9RTEaKorgqi6CqC2GXF+CuIZSJDjLkOyqQLqohF1ywf6TGH9pzEG+6KOJfVRk+t2fUqSi0Noddam9MaX3BNw2cAx6dkyChQPrEoUMCzFE1ObJZjO6Z3dE92xgxuDOLe01DicOFVfjx/yHoZ7eh/iqH9HRcQSZailkSbQS8YxTwvs4MtkodT+UUqAB7kel91h1Ig61UhLq5GTkx4/G6k53wB5vQUq8GfZ4S8ujc+0PSJQaYYlPQlxCCuISkhGfZEd8Ygri4my8ZKqNEELA5XLB5WyC09kIxemEy9kIl6dA4XI1QXE1QXU54XK5UJM+oKWooajC/bMqYKkugL10B6A0QVVcgNIEobjOKmC4ANUJSfUUNVQFkuqEpLogCxfe6fgAHMLSUihpfu7h2IM5Na/BJBSYhMv9gAsmocAMF0xQYBYumKHADAUWSYEVQPOx0LGNL6BA5x/+AdJhfBb3aMDv218OZOqeFp+Jcjxq+zjguC/XjMNWNUvTboYLvWyHAo7rrK/CSUU7sCUAZMSVIlWqCyiucFSjUNFehgkAHa2nkCcXAr59jJ1ja0MOtpVW6E6717oDQ+V9/gcFsEIZgQW7e+pO+2/LYlxi2hpQ3G3qBfh50x91p803v4U55tVQhQQnTHC6t1q4JBMU99YMRfJswZL7Z1UyQ5VMOG3OxhsdHoZZlmExSWcKPbKEgfXfYEDt1xCyGUI2AyYLIHsepjO/SyYrYDZDlq2QzO6CEiwJqMideG7ByBM/zlkFW1MZZJMFZosVJosVJrMVFs/PZosVFkscTPzyG9UaGx1oqK1GfW0lGutq4KivgrO+Gq6GGrgaaqA21kJ1VENyVMDkqMRnSddjvysLVQ1OVDU4UVnvRINTQSdUYKvtP86/QC81xhypDPk6nwHVSEK5SEK6VHtOuyokFEsZKIvLhSO5G0SnvkjuOhBZPYcio2M2MgJ4L4gocCzEEFHMSrZZMCSvA5B3/zntTY4GnD5+AOXH96Gh+Eeg4ihsNceQ1ngSWUoRrJKr5bVFIt1r/A6o8qs/iVIjEtEIqGX4pqo7vigr1n3du5anMdC0R3eaU5jQgDg4JBscUjwa5Xg45XgosgWKHIeDiUOwKWMWrGYZVrOMOLPJ8yzjgsr1SGsqhmSOg2y2nDkqLVs8R6fNkGQzZJP7IZnMnqPVZghbGtS0HpAl91F0AC3PltpCyE2eo/7ymeP97tec9R+kdG6bUBW4ZBuaknKgqAJCAIrn7AdVFbBUHYW5vhhCcUEIFUJVIVTF/RDCU4BQIYQCoaqAUD2FCiccpkQc7TTJXXjwFDTcBQ4VOeVfo2vlVkB1QVJdLYULWbh/loUTkqpAFu5ChqS6ixMSXKhFIh5P+qPnbA0Bp+ounDgVgZnKKvyn+o6ncOGCGSoskoAFQPx5tg2nMKF34z91p10jb8SL1sBPM59bfB2qkaRpt8ol6GM90PrMrZxkYIai2+4y+K+FCapuu/usjsBJXqoWSojiGqX6cm/YAIhW4spe3ntftPb3MRl4j1zC+/ZkgfuzWpYErHDBCheAxnNfJH7y3NynxipsqijTjdvdvBUjzZ8E1N8ykYzrG1/XnXaz6f/wtGXxeWO4hAx3WdRdVHKXQ024Lu4NmM0mmE0yzLIEq9n9PND1Pa6ve89dZJLNEJLF/SyboUoWCE8BSUieZ9nsKSRZAJMF+7rcANmaeE7xyGySkdBUjvTynYAsQ5LcZzNJsgmSJLsPCEgmz+8SZFNzu6nlNU1pvSBZ4j1nXLk/+2UJgMsBc+0p9xlkwn3+lvtkMgGhNp9VpnqmuYvaZ14LNNq7QzXFQxFnPt8VVUBtqkNy4TfuM+1UF1TF5d5/eArW7gK2p5jtcgDORkBpgORqhKw04ovUG3DclItGl4pGl4JGp4pGl4rExtP4W91vYRMNSBQOxElOxAFI9XGbeKW4L7ao2st5qpDoYwR9naVSTZvFJCE3LQHbcTnS4gTUtB6Iy7wAabl9kNntQmTHJyLb0FKJKFhYiCGidsdqi0du78HI7T1YM011uVBceAQVhUdRX1qAfqYeuKMpE0XVDThV6UBhVQNO1zRCCCBDqg64D3pfjJsl6AxG3MwiKbCgHimod3+xUDwPj0O1Znx8YozuvAstb2OUaWdA/f1CGYo7nQ/pTnvJ8nfMMH0dUNxv1L64sekx3WlPmRfhFvMXAcXdp3bBrU3asx8A4AHzWswyfxxQ3FKRgr2F+n/3JlMTUiz1AcW1SApwzoUrZ7hg7PbrFq8FE2NxvRVinEbjSorumR5GCxPeigytFSaMMhI7VAWT1uJ6K4L5orWClpG4rW1P3rZBX7RWMDTD5XXa+eN676/Fx7hmSYUZKgBnS5siJJyoatR9fa5cgIHWwD7bAeBXP/RFJZI17WPk7/BP63MBxx3f+FccFdqv/e4xTPQ/933xs8YnsUv00rTnSUX4d9wDAcd9sXgQNqva7SIdjehsO+3+JYCUToX+WXGNsKJBWBEvNfkcqwpJKDN1RE1cFnp06otHul94Zvw6z1h2ZpMMYLz/HSWisGIhhojoLLLZjMwuvZHZpTcAYJjOa5yKitM1jSg69B4OVxSiqaoYSs1pSPUlMDeUwtZYjiRXOVLUKthFje5lUFXC+5GwxJ8e0fVDYytHj61n/VPvL6WVLxdGzghobV4jX7xb+4KmiMALBa3FDUZhQ+/LoeHChreCiYH3AdAv8MgSAJMFDcLquTzE3HJkv/nSEAXuy0MUyeS5TMR9FL/550FduyEzobN77A/ZPcaILAHxogFbC69zj30iye6xSyT3kXchedo8R+2FZ+wSSZLc45hIMiZ3GotRSd088dzjlzSPkZJ/4jnPUX/3EX1I8llnc505BUz6yelgkiThSnsfXJ7UpeWlLXNJEgqK/hsnVFfLLMI9MosmTstzy5F/BWOSuuGipK7u8V6E+4wBVbh/Lit8GpWuurNer7Y8u9tUTxs8bSoA9xkFOUm98EzagJZYSvPZBEKg4uRsfOMoBlQFEAqgujzj8SjuM8c8zxCKe4we1QVJqIBQ0GQbgCvsWS2xFFXA5fm5rrIn9jU2eMbhUSB7ns9cEuf+uflsMvflcYonJ1opbEiBF2JCVeBxtlrgib7CkTu2/nshGzzby9tZUkaLn97mbm0/5Ys4L/vIOtgMxbW3cnliJZKginpUyGmoMaehwZqBpvgOUBM6QU7JhNWehfi0zrBndEaHrFzYbYktY8VoDyURUVvCQgwRkZ8sJhk5qfHA8Annfa3L2YTysiLUVZagobocTTVlcNZV4MK4XnjA3A3VnmvGmx/VDhcaqlJQptYiXjiQIPlXlGmE97sZxEmBF2JcBi/f8Ka1I+VGLkVp7QuPkcJGKOI2X4aQZpOgmKwwyxIspjPjVaSITjjU0OOs8S3cY1yosgWqZHYPrOq5DEFIlpYxLYRkhjBZcEuXC6FYU88Zq8JikpDo6oxtJSb35WfmMwOmup+tnoFTrTB5Bk81mS0wWdyDqJotVryV3AkWi+2cAVTllkvT5gT0XgDAkFanjgg4bquG/So0cS+4JjRx+98QmrgI/GyC4QC89+qSgOOOVxQcEBJc6plLDF2KCqcqoFb3w7H6SgilCa6zBoZWXC6oShOEyz0gtPvZBeFpE6oT9SY7HuvUr+XSlubxmZyqirTSMdhSFecuNKku95hLwgVZdbU8N1+6KHuKSc3PZVIauiTGt1yy6Gq5fFGF1VCBp5XCkYGClDu2/tcBycCZTID3YrrRi/m8FfBdwth+ylshphEWOIXJa+GvXsSh4azLhRvlBDhNCWiypkKJs2NA5ijMz+6H1ITmseCssMdb3L9b98FijTN4kRIRtUUsxBARhZDZYkVGVldkZHU9p314q3N90/KT6nKhob4GDs+AgI66WjgbqtHUUAOloQauxlqojXUQrkbA1YiU+Avxq5SeaHSqaFIUz7OKRqeKypL++L4xHma1yfMFQvEcnVYgQ4XJ87tJKDBBhQln2p1SHCwmCUrL9fvBYYLaMn6ALHnOVJDdZyooSEAlkiAg46z72UBI7t/FWb8LSO67vECCIplRbuqIS3LTzxmA0yzLMJkkpNYPwfaaqjMDccpmT9HC7BmQ0+QZP8EzjoJsgjBZIZvMEKY4vNhtiCamRZYR39QT++omw2SyQrY0Fy88D4sFZnMczBYLTBb3s8USB9lkdvcRwDav79J4AD4M6OiF96/A3QAMDTguUTjIJpNnkGidL9mp3Q3FHu91Sl8AgRXnugHY4HXqFVBdr8DlanIP3O0ZwFtxOeFsah68uwkupxOq0gTFeeaOY4qq4n86XqQZdNulCCRVWbGlJAXCMzaKe9Buz0NxtQze7a2oNDInE42q5Cl0nYnfoSkFxx2dIUOBBAFZiDM/t3wCn/VpLMQ5v5tkGbLqPpPrbP6eEaMKyXMnMPedwcwmGVa4z5gzyZ7PYpOMNCkJRc6O7j2X5B5XR/XcAUxF82DN7sK1ItugmuKgylaopjgIsw0jM4fhQntvxJlNiDPLiLOcGWfth7LXYLUlwBqfgrjEFNgS7YhPsiMhMQUJZjMSWun/SL/WlojaC0k032uR2oQTJ06gSxf3KdDHjx9Hbm5uhHtERO1e827krN2JEOpZP4tznpunm0xmz2UgvO0sEVEsE8J9y3hFdRdppJZL9tyXAbofnmKbJHG/QERRI1Tfv3lGDBERGfPTcS4ASGcdvea/00RE7ZskSTB5xmQCZPArCBG1d6G56J+IiIiIiIiIiDRYiCEiIiIiIiIiChMWYoiIiIiIiIiIwoSFGCIiIiIiIiKiMGEhhoiIiIiIiIgoTFiIISIiIiIiIiIKExZiiIiIiIiIiIjChIUYIiIiIiIiIqIwMUe6A9HmxIkT2LVrF44cOYLq6mqYTCakpqbiggsuwLBhw2C32yPdRSIiIiIiIiJqoyJaiDl8+DDy8/PPeVRUVGhet3btWowfPz5k/aitrcXChQvxP//zP/j++++9vs5sNmPcuHH41a9+hWuvvRaSJIWsT0REREREREQUe8JWiDly5Ai2b99+3qJLuH3yySf4j//4D5w8efK8r3W5XPjyyy/x5ZdfYuTIkVi8eDH69u0bhl4SERERERERUSwIWyFm6NChqKqqCtfifPLkk0/ij3/8I4QQfs+7ZcsWjBw5EkuXLsUVV1wRgt4RERERERERUaxpt4P1/ulPf8L8+fN1izCSJKFXr16YMGECLrvsMmRmZurGqKmpwcyZM7Fu3boQ95aIiIiIiIiIYkG7LMSsWbMGjz76qKZdlmXcd999OHLkCA4ePIivvvoKGzZsQFFREb7++mtMmTJFM09jYyNmzZqFU6dOhaPrRERERERERNSGRbQQ07VrV8ycORPPPPMMVq1ahe3bt4d8mfX19fjlL3+pORPGZrPhs88+w4IFC5CXl6eZ75JLLsHq1at1CzinT5/G/fffH7I+ExEREREREVFsCNsYMV27dkWvXr0wfPhwDB8+HBdddBEyMjLOec3Ro0dD3o+//e1vKCgo0LS/8cYbPo318tRTT+HkyZNYvHjxOe3vv/8+Nm/ejEsvvTRofSUiIiIiIiKi2BK2Qsx3330XrkV51dDQgJdeeknTPm3aNNxyyy0+x3nhhRewYsUKnD59+pz25557DsuXLzfcTyIiIiIiIiKKTe1qjJiPPvoIJSUlmvY//vGPfsWx2+2YN2+epn3FihUcK4aIiIiIiIiIvGpXhZj33ntP0zZo0CCMHDnS71h33HEHTCbTOW2qqmLJkiUB94+IiIiIiIiIYlu7KcQ0NTXhq6++0rRfd911AcXr1KkTxowZo2lfuXJlQPGIiIiIiIiIKPa1m0LMli1bUF9fr2mfNGlSwDH15t24cSOcTmfAMYmIiIiIiIgodrWbQsy2bds0bWazGcOHDw845ogRIzRtDocDP/zwQ8AxiYiIiIiIiCh2tZtCjN5dm3r27AmbzRZwzEGDBum279q1K+CYRERERERERBS72k0h5tChQ5q2Xr16GYqZlZWFxMRETfvhw4cNxSUiIiIiIiKi2NRuCjFHjx7VtOXk5BiO27lzZ5+WRURERERERERkjnQHwqWkpETTlpmZaThuVlYWDh48eN5l+erEiROtTi8sLAw4NhERERERERFFVrsoxNTX16OxsVHTbrfbDcdOSUnRtJWVlQUcr0uXLka6Q0RERERERERRrF1cmlRbW6vbnpSUZDi23hgxdXV1huMSERERERERUexpF2fEOJ1O3Xaz2fjqWywWTVtTU1PA8Y4fP37e6ZdeeikAXqZEREREREREFCpnf+d2uVxBi9suCjGKoui2m0wmw7H1Yhj5A+Xm5rY6/ewNYcSIEQEvh4iIiIiIiIh8U1JSgm7dugUlVru4NMnbmS/BqGjpxdA7S4aIiIiIiIiIqF2cERMXF6fbbuQSotZieFteMAwcOBBbt24FAHTs2DEol1dRbCgsLGw5S2rr1q3Izs6OcI+I2h/mIVFkMQeJIo95SLHE5XK13BV54MCBQYvbLr7FJycn67bX1NQYjq0XQ+9OSsFis9lw8cUXhyw+xYbs7OzzXuZGRKHFPCSKLOYgUeQxDykWBOtypLO1i0uTrFar7h2SKisrDcfWi9GhQwfDcYmIiIiIiIgo9rSLQgwAZGVladqKiooMx9WLobcsIiIiIiIiIqJ2U4jp3r27pq2goMBQTEVRcOrUKZ+WRURERERERETUbgoxvXv31rQdOHDAUMyjR4/C6XT6tCwiIiIiIiIionZTiBk6dKim7cSJEygvLw845s6dO3XbhwwZEnBMIiIiIiIiIopd7aYQM3LkSN32zZs3Bxzz66+/1rRlZGSgR48eAcckIiIiIiIiotjVbgoxAwYMQGZmpqZ99erVAcfUm3fSpEmQJCngmEREREREREQUu9pNIUaSJFx11VWa9vfffx+Kovgd7/vvv8cPP/ygaZ8xY0ZA/SMyKjc3F0IICCGQm5sb6e4QtUvMQ6LIYg4SRR7zkOj82k0hBgBuvvlmTVtRURGWLVvmd6yXX35Z05aUlISf/exnAfWNiIiIiIiIiGJfuyrEjBs3DgMGDNC0P/7442hqavI5zv79+7Fo0SJN+5w5c5CYmGioj0REREREREQUu9pVIUaSJDz66KOa9oMHD+KBBx7wKUZ9fT1mz56tuW21zWbDgw8+GJR+EhEREREREVFsaleFGACYNWsWxo0bp2n/7//+b/zmN7+By+XyOm9paSmuvPJK5Ofna6b99re/RdeuXYPaVyIiIiIiIiKKLZIQQoRjQUePHkX37t1DFv/IkSPo1q2bz30ZOnQoKisrNdP69euHefPmYdKkScjNzYXT6cTBgwfxySefYMGCBSgvL9fMM3LkSGzYsAEWi8XgWhARERERERFRLGuXhRgA+Oqrr3DllVfC4XAYWm6PHj2wfv165OTkGIpDRERERERERLGv3V2a1GzixIlYuXIlMjIyAo4xbNgwrFu3jkUYIiIiIiIiIvJJuy3EAMD48ePx7bff4oYbboAkST7PZ7PZ8Oijj2LTpk3o0qVLCHtIRERERERERLEkbJcmNTY2YufOnSGLP3ToUMTFxQU8/969e7Fw4UKsWrUKe/fuhaqq50yPi4vDxRdfjBkzZmDOnDmGzqQhIiIiIiIiovYpbIWYtsThcKCgoAA1NTUwmUxITU1Fly5dYDKZIt01IiIiIiIiImrDWIghIp+oqopdu3Zhz549KC4uRn19PRISEpCZmYn+/ftj0KBBkOW2dbWj0+nEjh07sG/fPpSUlMDhcCApKQmdO3fGwIED0bdv30h3kQjV1dXYs2cPDh06hIqKClRXV8NmsyEtLQ3p6ekYNGhQSAfDJ6LYFov7dyKiqCeIQmz+/PkCQMgf8+fPD7iPp0+fFitXrhRPP/20mDlzpujSpUvQl6EnVO9NMO3Zs0fcfffdokOHDq0us0OHDuKee+4Re/fuDeryQ2HLli3ipptuEsnJya2uU+fOncVDDz0kCgoKIt1lQ5iD3kVjDhYUFIjFixeLW2+9VXTr1s2n5WVmZoobb7xRrFu3LkjvTHAcOXIkJO/v4sWLI71qfmMeehdNediettlY3L+3hjnoXbTk4G233RaWv1G483Ht2rUhWY+1a9eGdT0ouMwgamdKS0uxfft25OfnIz8/H9u3b8fx48cj3a2o09jYiEceeQR///vfoSjKeV9fVlaG1157DW+++Sbuu+8+PPvss4bGbQqFyspK/Od//ifefvttn15/6tQpPP/883j55Zfx2GOP4ZFHHvFrYG/SxxzUOnbsGP71r39h2bJl2LZtm9/zFxcXY8mSJViyZAkGDhyI119/HaNGjQpBTylWMA/br1jcv7dFzEGi9o2FGIoZvXv39ul1d955Jz755JMQ96ZtKysrwxVXXBHQF0JFUfDCCy9g06ZN+Pzzz9GhQ4cQ9NB/hw8fxtSpU/Hjjz/6PW9DQwN+//vfY/PmzVi2bBlsNlsIetj2MQcDN3fuXHz55ZdBibV7925cdtlleOihh/Dss8+yeNjOMA+pNbG4f482zMHo5+vfiCiUWIihmGC323HttddGuhsxoba2FpMnT/Z6l7P4+Hj069cPqampqKiowJ49e+BwODSv27p1K6ZMmYL169cjMTEx1N1uVWFhISZOnIhjx47pTk9OTka/fv2QlJSEkpIS7N27F06nU/O6zz77DNdddx2WL1/Owbt/gjkYehkZGejUqRM6deqEpqYmFBcX4/DhwxA6Q72pqoo///nPqK6uxiuvvBKB3lIkMA+pNbG4f482zMHo16dPH4wePTrS3SBiIYZC784778S0adOCEmv37t246667NO033XQT4uPjg7KMSJs7dy7uvPPOiC3/7rvv1v0nLScnB08//TRmzZp1zntdX1+PJUuW4LHHHsOpU6fOmWfHjh24++67fb4UKBQURcGNN96oW4Tp06cPnn32WVx99dUwm898HFZWVmLx4sV44oknUFVVdc48n3/+OebPn4+nn3465H0PFuagfyKdg806dOiA66+/HuPHj8eYMWOQk5OjeU1paSk+/PBDPP/887pne7366qvIzc3F73//+3B02SdZWVn46KOPDMXo2bNnkHoTPsxD/0RLHgKxs83G2v7dX8xB/0QiBx977DHcc889QYm1Zs0azJ8/X9N+xx13BCW+UUOHDjV8oKRfv35B6g1FAgsxFHK5ubnIzc0NSqx3331Xt93oh2p6ejqGDx/e8rjoooswfvx4r2dQhFJubi4uueSSsC8XcJ/xofceDx8+HKtWrUJGRoZmWkJCAu644w5cffXVmDp1quafvHfeeQc33XQTpk+fHrJ+t+bVV1/F+vXrNe3Tp0/HsmXLkJCQoJmWmpqKefPmYcaMGZg0aZJmO3juuedwww03YNCgQSHrdzAxB/0TyRwEgKlTp+LOO+/EjBkzYLVaW31tRkYG7rrrLtx6662YN28eXnvtNc1rnnrqKfziF7+ImjsrxcXFRfT9jRTmoX8inYdni4VtNhb37/5iDvonEjnYs2fPoBUt//SnP2nazGYzbr311qDENyolJaXNf66QMSzEUJvR2NiId955R9M+aNAgXHTRRT7HSU9Px+WXX96ygxs+fHjUfEGJJFVV8Zvf/EbTnp2djc8//1z3n7SzdezYEStXrsSQIUNQVFR0zrQHHngA06ZNC/vtL2tqavD4449r2gcMGID333//vEetevbsiZUrV+Kiiy5CfX19S7uiKHjwwQexZs2aoPc5mjEHQ0eSJEyfPh1PPPGEX+9lM5vNhldffRVCCLz++uvnTHM4HHjyySexePHiYHWXIoh5SP6Kxf17JDEHo19RURFWrlypaZ8+fTqysrIi0CMiLRZiqM34+OOPUV5ermn39+jDokWLgtWlmPLhhx/iwIEDmvYXXngBnTp18ilGZmYmXnjhBfziF784p33//v34+OOPw37d9Ouvv46KigpN+5tvvunzqcN9+/bFY489ht/97nfntP/f//0f8vPzMXz48KD0tS1gDobOP/7xD91Lj/z14osvYvXq1Th69Og57Z988glcLtc5l+BR28Q8JH/F4v49kpiD0e+tt96Cy+XStEfLZUlEANB+ytfU5untsKxWK26++eYI9Cb2vPHGG5q2vn374oYbbvArzqxZs9C3b1+f4ofam2++qWmbNm2a36eC3nfffUhPT/cpfixjDoZOMIowgPvMmPvuu0/TXlFRga+//jooy6DIYh6Sv2Jx/x5JzMHop3cGaGZmJq688soI9IZIHwsx1CYcP34cX3zxhab9mmuu4e0Tg+D06dP46quvNO2//OUv/b71rSRJmDt3rqb9iy++QElJScB99Fd+fr7uEUC9wfXOJyEhATfddJOmfdmyZbpHXGIRc7DtmDJlim57JMYYoOBiHpK/YnH/HknMwei3adMm7N+/X9N+22238axQiiosxFCb8I9//AOqqmraeYphcKxZswaKomjaAz3V+Prrr9e0KYoS1jFV9K4Njo+PxxVXXBFQPL11Ki8vx5YtWwKK19YwB9uOrl276rb/dGwHanuYh+SvWNy/RxJzMPp5u+SLfyOKNizEUNQTQuieYtilSxdMnjw5Aj2KPWvXrtW09erVC3l5eQHFy8vL0x31Xu+oXKjordPo0aNhs9kCijdq1CjdcWXCuU6RwhxsWywWi257expMMxYxDykQsbh/jxTmYPSrra3Fv/71L0376NGj0adPnwj0iMg7/ldGUW/t2rU4cuSIpn3OnDn8YhEk27Zt07SNHDnSUMwRI0Zo2vLz8w3F9JUQQndZRtbJarViyJAhmvZwrVMkMQfblp8O1NssOzs7vB2hoGIeUiBibf8eSczB6Pevf/0LtbW1mna9S+qIIo0XylHU0zvFUJIkzJkzJwK9CR8hBMrKylBaWor6+nqkpqYiPT0ddrvd7+u6W+N0OrF3715N+4ABAwzFHTRoEN57771z2vbs2ROWO7ccO3YMVVVVmvZgrNNPBzzdtWuXoZhtAXMwtDkYbN6OTPfq1SvMPTm/uro6lJSUoLy8HAkJCUhLS0N6errXs3raM+ZhdORhW9pmY3H/HknMwejIwdbo/Y2SkpL8Hpg63Kqrq1FSUoKqqiokJSUhPT0dqampMZ1PxEIMRbmqqip8+OGHmvaJEyeiW7du4e9QGHz55ZfYvn07Nm/erHvrZZvNhosvvhijR4/G1KlTMX78eEPLKygo0B1w1uiXNr1Tl51OJ44fP47u3bsbin0+hw4d0m0PxTodP348pv/5ZA6GPgeDzdvdIqLlVutVVVWYO3cuNm7cqDugNgBccMEFuOyyyzB27Fhcd911SEpKCnMvowvzMLJ52Fa32Vjcv0cKczD694UHDhzApk2bNO2zZs1CYmJiBHrUumPHjmH27NnYuHEjCgoKNNNlWcaAAQMwevRojB8/Htdccw2sVmsEekqhwvPoKKq99957aGho0LTH8imGGzduxIoVK3R3egDgcDiwYcMGPPfcc5gwYQIGDx7sdfA4X3i7jMHo7XS9ze9tecEUznVSFAXHjx83FDeaMQe1gp2DwfTZZ59h+/btmvaf/exnUXPqfGVlJRYtWuT1Cy3g/od60aJFuP3225Gbm4uHHnoIhYWFYexldGEeaoUzD9vqNhuL+/dIYQ5qRdu+0NsgvdH6Nzp69Cjeffdd3SIMAKiqiu+++w6vvvoqZs2ahby8PDz11FO6Z3xT2xQd/5URebFw4UJNW1paGmbOnBmB3kSn7777DnPmzMGkSZNw4sQJv+f3dsvJzMxMQ/3Kysrya3nBpLcMSZLQqVMnQ3EjuU6Rwhw8P6M5GCy1tbW47777NO0mkwnz5s2LQI+Co6qqCn/5y18wcOBAfPLJJ5HuTkQwD88vWvIQiJ5tNhb375HCHDy/SOagoij43//9X0173759MWrUqLD2JVSKiorw+OOPY/Dgwbpn/lDbw0IMRa3vv/9e98juTTfdFPCdb2LZunXrMHjwYGzdutWv+crLy3Xb7Xa7of6kpKTotpeVlRmK6wu9dUpMTITJZDIUN5LrFAnMQf8EmoPBct999+kOJHnPPffgwgsvjECPgqusrAzXXHMNHn300Uh3JayYh/6JdB6eLdLbbCzu3yOBOeifSOTg559/rnsGWizesvrYsWMYN24cXn/99Uh3hQyKzUENKCboHX0AYvNDFXDf/nDKlCkYOXIk+vXrh+7duyMlJQU2mw0VFRUoKSnB9u3bsW7dOixduhT19fWaGOXl5bjqqquwefNmn68B1xtdHoDh69u9XY9bV1dnKK4v9NYpGNfrR3KdIoE5GJ4cDIY333xTd2yYvLw8/OlPfwpbP1qTkJCAsWPHYsKECejfvz8uvPBCpKWlISUlBfX19aioqMDevXuxadMmLF26FAcPHtSN88wzz6Bjx464//77w7wGkcE8jFwetvVtNhb375HAHIz+faHeZUlmsxm33HJLyJftL7vdjokTJ2Ls2LHo378/LrjgAtjtdiQlJaG2thbl5eXYvXs3Nm7ciHfffRenTp3SxFAUBffeey86duyIa6+9NgJrQUEhiKJQY2OjyMjIEADOeQwZMiRsfcjLy9Msf/78+UFdxosvvijuvfdesWPHDr/mKy8vFw8//LCQZVnTRwCiT58+oqmpyadYTz/9tG4Ml8sVyCq1cDqdunGfeeYZQ3F9ceedd2qWm5ubazjuwYMHddfpnXfeCUKvowtzsHXBzEGj1q5dKywWi6YPZrNZbNiwISx98ObYsWNi8uTJYunSpcLhcPg8n6qq4sMPPxSdO3fWfX8lSRJr164NXcejBPOwdaHIw1jaZmNx/x5uzMHWRcO+sLi4WHcfeM0114R0uf7YuHGjmDlzplixYoVf+dfU1CQWLlwo7Ha77vtrs9nE/v37Q9hzCiUWYigqLVu2TPcD5+9//3vY+hCOHZ9RX331lUhMTNR9rxYsWOBTjCeeeEJ3fqNUVdWN+8QTTxiOfT5z5szRLDcvL89w3MOHD+uu01tvvWW801GGOeibYOSgEd99951IS0vTXf5f//rXkC8/1MrKysSYMWN012/48OFCVdVIdzGkmIe+iXQeni2attlY3L+HG3PQN5HMweeff153uZ9++mlIlxtOx44dE3379tVdz5kzZ0a6exQgjhFDUUnvFMO4uDjMnj07Ar2JXhMmTMAHH3ygezeUJ598Eg6H47wxvN12We+Wl/7wNr/FYjEU1xd662R0fVqLEY51CjfmoG+CkYOB+vHHHzF16lTdO1r8+te/xgMPPBCyZYdLeno6Pv30U/Tv318zLT8/H++//34EehU+zEPfRDIPfyqattlY3L+HG3PQN5HMQb3LcrOzs3HFFVeEbJnh1rVrV6xevRrZ2dmaaR999BG2bdsWgV6RUSzEUNQ5efIk1qxZo2mfOXMm0tLSItCj6DZ16lTcfvvtmvaysjKsW7fuvPPHxcXptjc1NRnql7f5vS0vmPSWYXR9WosRjnUKJ+agf4zmYCCOHTuGSZMm6Q5OePvtt+Oll14KyXIjwW6345VXXtGd9sEHH4S5N+HDPPRPJPLQm2jZZmNx/x5OzEH/RCIHv/nmG+zZs0fTfttttxm+QUO06dKlC/785z/rTovlfWEsYyGGos5bb70FRVE07XPnzo1Ab9qGxx57TLf9888/P++8ycnJuu01NTWG+uRtfm93WwgmvXUyuj6txQjHOoUTc9B/RnLQXydPnsTEiRNRUFCgmXbjjTdi4cKFkCQp6MuNpLFjx2LcuHGa9jVr1uhuq7GAeei/cObh+UTDNhuL+/dwYg76L9w5qHfGEhC7AynffPPN6N69u6Y9Ep9xZBwLMRR1vN35Y9KkSRHoTdvQrVs33dOgfTlVsUOHDrrtlZWVhvrkbX5vywsmvWU4HA40NjYaihvJdQon5qD/jOSgP4qKijBx4kQcPnxYM+3aa6/FP//5T91Tw2PBVVddpWmrqKjAjz/+GIHehB7z0H/hykNfRXqbjcX9ezgxB/0Xzhysr6/H0qVLNe1jxoxB7969g768aCBJEqZPn65p3717d1gvwaTgiM3/1qjN+ve//637D8qcOXNi7ghvsA0fPlzTVlxcfN75srKydNuLiooM9cfb/N6WF0yxuE7hwhwMXKA56KvTp09j4sSJOHDggGba1VdfjSVLlngdEyIW6L2/QHDf42jBPAxcqPPQH5HeZrkvDBxzMHDhysFly5ahurpa0x7rZyx5+1w5ffp0mHtCRrEQQ1FF7xRDWZYxZ86cCPSmbenUqZOmzZcPZb1THAHoXvbgD2/ze1teMIVznWw2W0z988kcDFygOeiLkpISTJw4EXv37tVMmzZtGpYtWxaTA2WeTe/9BWLzn0/mYeBCmYf+ivQ2G4v793BhDgYuXDmo9zdKSUnBz3/+86AvK5pE+nOFgoeFGIoaNTU1uncTmDRpErp27RqBHrV9vgzIl52djaSkJE273lF3fxw8eFDTlpycjMzMTENxfeHtlNRQrFOvXr1i5ugYczD4gjFIdGlpKSZNmoQffvhBM+3yyy/HRx99FHODZPojGO9xNGEeBl+0bSPh6k8s7t/DgTkYfMHe5g8dOoQNGzZo2mfNmoWEhISgLqutiLbPOTo/FmIoaixZsgT19fWa9lg/xTBY9CrhvgycJ0kSBg8erGnftWuXof7s3LlT0zZ48OCwFC06duyInJwcTXso1mnIkCGGYkYT5qAxgeZga8rLyzF58mTs3r1bM23ChAlYvnw5bDaboWW0Fd6O9sXaAKHMQ2NCkYeBivQ2G4v793BgDhoTjhxctGgRhBCa9vbwN4r05woFDwsxFDUWLlyoaUtPT8c111wT/s60Qfn5+Zo2X4/cjBw5UtP2zTff6O7kfCGEwJYtW3xaTqjoLWvz5s0Bx6usrNS9LCSc6xRqzEFjjOSgnsrKSkyePBnffvutZtrYsWPx2WefIT4+PuD4bY3e+wsYe4+jEfPQmGDnoRHRsM3G4v491JiDxoQ6BxVFwVtvvaVp79+/f0xth95Ew+cKBQcLMRQV9uzZo7tjnz17drs+5d5XR44c0b1sYejQoT7Nf/nll2vaSkpKsGPHjoD6k5+fj9LSUp+WEyp6y9q5cydKSkoCivfFF19AVVWfltMWMQeNMZqDP1VdXY0pU6bo5uDo0aOxYsWKdnf69aeffqpps9lsuPDCCyPQm9BgHhoT7Dw0Khq22Vjcv4cSc9CYcOTg6tWrcfLkSU17rN6y+mxCCKxYsULT3qNHD54R0waxEENRQW/ALaB9nGIYDE899ZRuu6+3WBw/fjySk5M17Xq3BfTFkiVLNG3JyckYP358QPECceWVV2pOk1ZVFcuWLQsont469e7dO2a+BDIHjTGag2erqanBtGnTdG/3OWrUKKxcuVJ33IdYtn79eqxfv17TPmbMGFit1gj0KDSYh8YEMw+NipZtNhb376HEHDQmHDmo9zeyWCy45ZZbgraMaPXPf/4TR48e1bTzluptlCCKMKfTKTIzMwWAcx7Dhg2LaL/y8vI0fZo/f35E+6Rn1apVQpZlTV+Tk5NFTU2Nz3Fuu+02TYwOHTqI2tpav/pTW1sr0tPTNbHmzJnj76oZNm7cOE0/+vbtK1RV9StOQUGBMJvNmlhPPPFEiHoeXsxBY4KVg0K48+eyyy7TxAIgRo4cKaqqqkK0FtGrsrJS9O/fX/c9eeuttyLdvaBhHhoTzDw0Ktq22Vjcv4cCc9CYcORgSUmJsFqtmmVce+21QYkfzQoKCkR2drbu58q///3vSHePAsAzYijiPvvsMxQXF2vaY/noQ2FhIb788kvDcdauXYvrrrtO95KZX//6134dNf/1r3+taSsrK8N//dd/+dWnP//5zygvL/cpfmskSdI8/D3iprfMvXv34h//+Idfcf7whz/A5XKd0xYXF4df/vKXfsWJVszBwAUzBxsaGnD11Vdj48aNmmkXX3wxVq9eHdZTj7t166bJwW7duvk8/0cffYS6ujpDfSgvL8fVV1+te6p7Xl4efvGLXxiKH02Yh4ELVh5G4zZrNA+B6Nu/RyvmYOCCuS9szdtvv617d6BQ/o2M/j+6dOlSw3c0KigowNSpU1FYWKiZNmrUKIwdO9ZQfIqQSFeCiK666ipNZddms4mKioqI9iuURyB27tzZcpRl4cKForS01K/5KyoqxCOPPKJ75AGAyMvLC+jow7Rp0zSxLBaL2LRpk0/zb9iwQVgsFk2M6dOn+90XvfUaN26cXzEURdE9Kmm328XBgwd9irFkyRLdvtx7771+r1O0Yg5GPgcdDoeYMmWKbqzhw4dH5G+h9/7n5eX5PP/gwYNFWlqa+N3vfid27drl17JVVRUff/yxyMnJ0X1PAIjly5f7uUbRjXkY+TyMxm3WaB42i6b9e7RiDkY+B89n4MCBmmXk5OQIl8sVtGX8lNH/R+12u+jcubN45plnfP7fs1lTU5NYtGiRSE1N1e2H2WwWO3bs8HONKFqYQRRBRUVFWLVqlab92muvRWpqavg7FGY7duzA3Llzcdddd2HMmDG49NJLMWjQIPTr1w8dOnSA3W5HXFwcqqqqUFJSgu3bt2Pt2rVYunSp16N2CQkJeP/99wM6+vDCCy/gq6++Oqdy73Q6ceWVV+KDDz7AxIkTvc77xRdf4Prrr4fT6Tyn3Wq14m9/+5vffQkGWZbx0ksvaa6draqqwqRJk7B8+XLdW3s2e+edd3QHf0tPT8eTTz4Z9P5GAnMwOnLwuuuuw5o1azTtHTt2xFNPPYV9+/YFvI7NUlJS0K9fP8Nx/FFRUYFnn30Wzz77LHr06IEpU6Zg0KBBGDRoEHJzc5GSkoLk5GQ4HA6Ul5dj37592LhxI5YsWYKDBw96jfvwww/j6quvDuOahBbzMDryEIjdbTbW9u/BxhyMnhz0Ztu2bdi9e7em/bbbboPJZArKMkLl1KlT+MMf/oA//OEPGDBgACZOnIhBgwZh4MCByMrKgt1uR1JSEmpra1FeXo7du3dj48aNePfdd3UHJm62YMGCiA1GTkEQ6UoQtW/PPfecboX3yy+/DOly9Y4uBOuxePHi8y6/+QhEsB+pqali3bp1ht6bF198UTe2JEnixhtvFKtXrxZlZWXC5XKJ0tJSsXLlSnHDDTcISZJ051uwYEFA/dCL5e8ZMc3+3//7f7rxLBaLuPvuu8X69etFZWWlcLlcorCwUHz44Ydi6tSpXt/nTz75JKB+RCPmYHTkYKjeCyP5E4wzYkKxHvPmzfN7nKdoxzyMjjyMxm02WGfECBE9+/doxByMjhxszT333KO77f74449BXc5P6a2fv2fEBPv9lWVZ/PWvfw3dSlNYsBBDEdWnTx/Nh0v37t1D/k92LO74pk6dKo4fPx6U9+euu+4KSp/uvvvugPtgdMd3tqamJnHllVcGZZ2effbZgNcpGjEHoyMHQ/VeGMmfaCvEZGVlxdzlSM2Yh9GRh9G4zQazECNEdOzfoxFzMDpy0Jv6+nrdgsb48eODuhw9eusYyUJM7969xebNm0O3whQ2HKyXImbjxo3Yv3+/pn3OnDma2w7HmrS0NAwbNgyybDwFx4wZg6VLl2LVqlXIzc0NQu+A1157DQ8++KChGA8//DBeffXVoPTHKIvFgg8++ACzZ88OOIbZbMaCBQvwyCOPBLFnkcUcjN4cjAWjRo0KyuDCOTk5ePzxx/HDDz/E1OVIzZiH0ZOH7WGbjbX9ezAwB6MnB7354IMPUFVVpWnXu3w82owdOxbx8fGG4/Tu3Rt/+ctf8O2332LUqFFB6BlFGseIoYhZtGiRpk2WZdx+++3h70yY5eXlIT8/H5WVldi4cSO2b9+Ob7/9Fnv27MGJEyfQ0NDgdd6cnByMGDECI0aMwIwZM0Iy5oMkSXj++ecxceJE3H///a1e9/5TvXv3xksvvYRp06YFvV9GxMXF4e2338bUqVPx29/+VnfkeW+GDx+OV155BSNGjAhhD8OPORi9ORgLXn31Vbz88svYsWMHvv76a3z77bf47rvvcOTIEd07rzRLTEzEsGHDMGLECIwfPx5XXHFF1F//bwTzMHrysD1ss7G4fzeKORg9OeiN3t/Ibrfj+uuvD9kyg2X58uVoamrCli1bsGXLFnz77bfYvXs3jh07pltcama323HxxRdjxIgRmDRpEiZMmBDzhcH2RhJCiEh3gtqnXbt2aT7gbTYbhgwZEvJl79y5E42NjSGJ3bNnT3Ts2NFQjLKyMpSXl6O+vh5OpxNJSUlITU1FamoqbDZbkHrqG0VRsHz5cixZsgRr165FSUmJ5jUdO3bEhAkTcOONN2LGjBlR+w9os8bGRixduhTvv/8+NmzYgMrKSs1rcnNzcfnll2P27Nm4/PLLw9/JMGAOehdNORiLGhoaUFxcjLq6OjQ0NMBqtSI1NRV2ux0pKSnt6p9N5qF30ZSHsbjNxuL+PRDMQe+iJQe3bt2quTW23W5H3759w9aHUKitrcXp06dRV1cHh8OB+Pj4ls+V5OTkSHePQoyFGCLyS2lpKYqLi1FfX4+EhARkZmYiIyMj0t0ypLCwEKWlpXA4HEhMTEROTg7sdnuku0VERBQ2sbh/JyKKVizEEBERERERERGFCQfrJSIiIiIiIiIKExZiiIiIiIiIiIjChIUYIiIiIiIiIqIwYSGGiIiIiIiIiChMWIghIiIiIiIiIgoTFmKIiIiIiIiIiMKEhRgiIiIiIiIiojBhIYaIiIiIiIiIKExYiCEiIiIiIiIiChMWYoiIiIiIiIiIwoSFGCIiIiIiIiKiMGEhhoiIiIiIiIgoTFiIISIiIiIiIiIKExZiiIiIiIiIiIjChIUYIiIiIiIiIqIwYSGGiIiIiIiIiChMWIghIiIiIiIiIgoTFmKIiIiIiIiIiMKEhRgiIiIiIiIiojBhIYaIiIiIiIiIKExYiCEiIiIiIiIiChMWYoiIiIiIiIiIwoSFGCIiIiIiIiKiMGEhhoiIiIiIiIgoTFiIISIiIiIiIiIKExZiiIiIiIiIiIjChIUYIiIiIiIiIqIwYSGGiIiIiIiIiChM/j8PSGxDjRWynwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 426,
"width": 561
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, mag[0])\n",
"plt.plot(t, mag_mm,'--')"
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"25.6 ms ± 171 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%timeit model.get_magnification(t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Point source example\n",
"\n",
"VBM: 0.4ms (auto decide whether to use full finite source)\n",
"\n",
"MM (use VBBL for all): 12.2ms\n",
"\n",
"MM (rho=0): 0.6ms"
]
},
{
"cell_type": "code",
"execution_count": 209,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x32fcf8f10>]"
]
},
"execution_count": 209,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 426,
"width": 582
}
},
"output_type": "display_data"
}
],
"source": [
"# change to minor image perturbation\n",
"# everything else the same\n",
"\n",
"alpha = -np.pi/2\n",
"\n",
"params = [np.log(s), np.log(q), u0, alpha, np.log(rho), np.log(tE), t0]\n",
"mag = VBM.BinaryLightCurve(params, t)\n",
"plt.plot(t, mag[0])"
]
},
{
"cell_type": "code",
"execution_count": 210,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"408 µs ± 1.02 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n"
]
}
],
"source": [
"%timeit VBM.BinaryLightCurve(params, t)"
]
},
{
"cell_type": "code",
"execution_count": 211,
"metadata": {},
"outputs": [],
"source": [
"import MulensModel as mm\n",
"params = {\n",
" 'u_0': u0,\n",
" 's': s,\n",
" 'q': q,\n",
" 'alpha': alpha/np.pi*180+180,\n",
" 'rho': rho,\n",
" 't_E':tE,\n",
" 't_0': t0\n",
"}\n",
"model = mm.Model(\n",
" params\n",
")\n",
"model.set_default_magnification_method('VBBL')\n",
"mag_mm = model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 212,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x32fd6e310>]"
]
},
"execution_count": 212,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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FhIQoIyND27ZtU0lJiWm/b7/9VhdffLG+/vpreXt7VzsPUB9Vp2e5E3oW0HC4ql8FBQUpOjpazZo1U2BgoI4cOaJdu3apoKDA6f5JSUkaOnSoli1bpubNm1f7dbds2aIRI0bo6NGjTrc3btxYXbt2lb+/v9LT07Vjxw7Z7XbTfu+++65sNpvefvvtamfJzc3V8OHDtW7dOqfbAwMD1a1bNzVq1EhHjx7V1q1bVVhYaNpv1apVGjFihJYtW6bg4OBq5wHqI1f1rOjoaEVFRSksLEy+vr46fvy4Dhw4oAMHDlR4zOLFizV8+HAtWrSo2s/BpWe5js0wDKPOXg01kpaWprS0NJestWnTJk2cONFUv+WWWzR16tRKr7N48WKNHDlS//w18vLy0u2336577rlHrVu3dti2cuVKPfbYY1q8eLFpvWbNmmndunXVelNz4MAB9enTRxkZGaZtI0eO1BNPPKH4+HiHekpKil5++WVNnTrV1CS8vLy0cOFCjRgxospZysrKyt+g/VPnzp01efJkjR49Wj4+/5vbZmdna/r06XriiSd07Ngx03H/+c9/9PTTT1c5C2AVd+tZF154oebPn1+t13/sscf0+OOPV+vYitCzAPfhLv1qxowZuuaaaxxq3t7eGj58uEaOHKnBgwerT58+pgejFhcX69dff9Xrr7+ur776yuna3bt319q1a6v1oOzc3Fz1799fO3bsMG2Lj4/Xs88+q6FDh8pms5XXDx48qLfeekvPP/+808H4e++9pxtuuKHKWSRp7Nix+uyzz0z12NhYPf3007r88ssVGBhYXs/Pz9esWbP06KOPOj1RHTt2rGbMmFGtLIAV3KVnSdKiRYs0atQoSX+eyw0ZMkSDBw/WoEGD1KVLF4WGhjo9LiMjQ/Pnz9fUqVMrHKZcd911+vDDDyv/zfw/epaL1fm1TXALd9xxh9NL3lavXl3pNfLy8oxWrVqZ1ggICKjUrWaPPPKI0wyXXHJJtb6niy++2Ol6lbmt5Ntvv3X6gMnWrVsb+fn5Vc7yxhtvOM1yzjnnGHl5eSc8dvfu3Ubr1q1Nx3p7exsbNmyochagPnBFz3J2e1rjxo2N4cOHGw899JDxxRdfGMnJyU7//tXG7Wn0LKB+qkm/+vvtaW3btjUmT55s7N+/v0qv/9VXXxnh4eFOMzz77LPV+p7uvfdep+tNmDDBKCkpOeGxq1atMiIiIkzHhoaGGunp6VXO8s033zjN0q9fv5M+uPbw4cNG3759nR6/YMGCKmcB6oOavsdatWqVcf/99xu//vprtW7jKisrM1544YUKH3WydOnSKq9Jz3IthkYNUGFhodG4cWPTL16vXr2qtM5TTz3l9Bf4448/rvQa48aNc7rGr7/+WqUsy5cvd7rO+PHjK73GRx995HSNZ555pkpZjh8/7rTR9OjRo9Inc1u3bnX6AMzhw4dXKQtQH7iqZ40bN84YNmyY8eCDDxpffPGFsXfvXqf71cXQiJ4F1E817VeffPKJ0aZNG+O999476YnNifz888+Gn5+fKUdwcHCVP1Vt7969hq+vr9O/35U9Qfzpp58MLy8v0xo33nhjlbKUlZUZnTp1Mq0TExNjHDp0qFJrHDx40IiOjjat0blzZ5c8twTwJK56j+UKL7zwgtP3NWPHjq3SOvQs12No1ADNmjXL6V/IKVOmVHqN/Px8IzIy0rTGyJEjq5QlOzvbaNasmWmd0aNHV2mdc88917RGs2bNjGPHjlVpnbPPPtvpOlV5qOuLL77o9OebmJhYpSyTJ092us7vv/9epXUAT+eKnlUVdTE0omcB9VNN+9Xhw4eN4uJil2R56KGHnGaZM2dOlda57bbbTGsEBAQYycnJVVrnpptuMq3j5+dnHDhwoNJrfPHFF06/p1mzZlUpy8yZM52uM3fu3CqtA3i6un6PdSKlpaVG165dTVlCQ0Or9CmQ9CzXY2jUAI0YMcLpX4CqPIn9008/dfqLu3LlyirncXai4eXlVenLsVNTU51Ogp977rkqZ0lMTHT6fc2cObPSazibJld1mGYYf97+52zyf9NNN1V5LcCTuaJnVUVtD43oWUD9Vdf96kQyMjKc9pqqXNFYUFBghIWFmda4+eabq5xn3759ho+Pj2mtyZMnV3qN4cOHm47v2rWrYbfbq5TFbrc7PTk9++yzq/ptAR7NnXqWYVT8qXCpqamVOp6eVTscn6KHei81NVVLliwx1S+88EI1adKk0uvMnDnTVOvVq5cSEhKqnGn8+PGmT9ix2+2aNWtWpY6fPXu26YGwPj4+Gj9+fJWzDBw4UD169DDVnT24zJk1a9Zo586dprqzh8udTFBQkK666ipT/YsvvlBpaWmV1wM8kat6ljuhZwH1k7v1q6ZNmyouLs5Ur+gTEp1ZsGCBjh8/bqpXp0e0bNlSI0eONNUr268OHz6sn376yVS/8cYbHR5mWxk2m00TJkww1ZcsWeL0wwmA+sjdepb05wP7nUlPT6/U8fSs2sHQqIH58MMPnX6UYFVOVoqLi53+Bbj44ourlalZs2YaPHiwqb5w4cJKHe9sv8GDBysyMrJaeS655BJT7aefflJxcXG1sgQGBpZ/ooArsmRlZSkpKala6wGexhU9y93Qs4D6yR37VatWrUy1gwcPVvp4Zz2ibdu26tu3b7XyOOsRmzZt0v79+0967OLFi1VWVmaqV/cjwZ1lKSsrc/rpvkB95I49Kzw83Gn9n58YWRF6Vu1gaNSAGIah6dOnm+otW7bU8OHDK71OUlKS8vPzTfWzzjqr2tmcHbtixQqVlJSc8Li/PmK2trPk5eVV6qRn6dKlptqpp56qgICAamUZNGiQw8cv/sXZ0A6ob1zVs9wJPQuon9y1X/n6+ppqlT35kpz3CFf3K6lyPcJZlg4dOqh169bVytK6dWu1b9++WlkAT+euPevw4cNO6zExMZU6np5VOxgaNSBLly5VcnKyqT5u3LgqvYFYvXq1qebj46N+/fpVO1t8fLypVlhYqC1btpzwuM2bN6uwsNBUr85tcn+Ji4sz3S4n/Xkbx4kYhuF0n5pk8fPzU58+faqcBagPXNWz3Ak9C6if3LVfpaSkmGqVPfnKysrS3r17TfWa9IgWLVo4ff3K9Ahn7z9rkkVy/v6TfoWGwF171vLly021Nm3aqHnz5ic9lp5VezzzXTeqZdq0aaaazWbTuHHjqrTOxo0bTbX27dtX+1+mpT+fh+TMhg0bqpxFktNnfFRWUFCQOnToUOUsf/zxh44dO+bSLJLzn83JsgD1gat6ljuhZwH1kzv2q+zsbK1du9ZUd9YvnKmNfiVVr0eUlJRo27ZtdZJl69atPIcN9Z479qxDhw5p9uzZpvrVV19dqePpWbWHoVEDcezYMX355Zem+tChQ9WmTZsqrbVnzx5TrbJvQCoSHR2t4OBgU93ZtPhkWUJCQhQdHV2jPM4u/atOFqnmPxtnWVJTU3lDg3rNlT3LndCzgPrHXfvVp59+6vQ2/3PPPbdSx9dljzhZv9q3b5/THlIbWUpKSpSamlqjdQF35o49q7CwUNdcc43pH7OaNm2qf/3rX5Vag55VexgaNRAzZ85UQUGBqe7sKewn4+xS59jY2OrEcuDsskNnr3Wy7ZW5fPFknH0/1clS0Vo1zVJWVsYbGtRrruxZ7oSeBdQ/7tiv8vPz9fzzz5vqYWFhlX6+h7Me4e/vr6ZNm9Yom7MekZaWdsLBcl32qxO9HlAfuFvPWrlypU499VT98MMPDnUfHx99+OGHlf6gEHpW7fGp1dXhNj744ANTLSIiQhdddFGV13L2sX5RUVHVyvV30dHR2rVr10lfq66yVOa1TrbdZrOpWbNmLs/y1+u1bdu2RmsD7sqVPcud0LPoWah/3LFfPf74404HtXfccYf8/f0rtYazHlHT/iA57xF2u11ZWVkVrl9RP6tp/zxRvwLqq7rqWWlpaUpLS3Oo2e125ebm6vDhw9q4caMWL17s9Fav0NBQffzxx5W+MlKiZ9UmhkYNwObNm/X777+b6ldddVWVn0OUn5+voqIiU72ij0esirCwMFPtyJEjJzwmKyurzrIUFBSooKDA6ScDVZQlODjY6QNqa5pFOvnPBvBUruxZ7oaeBdQv7tivli5dqpdfftlUj4mJ0YMPPljpdeqyX0l/9oiKTsCcZXFFHvoVGpq67Fnvv/++nnjiiSod4+XlpUsuuUTPP/98lW+Vo2fVHm5PawCcTZMlafz48VVeKzc312k9JCSkymv9k7NnGuXl5VU5T21lOVked8oCeDJX9ix34059wp2yAJ7K3frV/v37dcUVV8hut5u2vfXWWwoNDa30Wu7UI2rr/Sf9Cg2Nu/Wsv9hsNo0fP1579uzR7Nmzq/VsJXpW7WFoVM8VFxdrxowZpnqfPn0UFxdX5fWcPVBR+vOe05ry9fU11YqLi6ucp7aynCyPO2UBPJWre5a7cac+4U5ZAE/kbv0qLy9Po0eP1uHDh03bbrrpJl1wwQVVWs+dekRtvf+kX6Ehcbee9XeGYWjatGkaOnSoXnrpJeXk5FR5DXpW7WFoVM99/fXXyszMNNWr+6CzsrIyp/Wa3s5Q0Ron+7QdZ3lqK8vJ8rhTFsBTubpnuRt36hPulAXwRO7Ur0pKSnTppZdq3bp1pm39+/fXa6+9VuU13alH1Nb7T/oVGhJ36lkVSU5O1v33369u3bppyZIlVTqWnlV7GBrVc9OmTTPV/P39NXbs2GqtV9F01BW/qM7WqGiaeqI8tZXlZHncKQvgqVzds9yNO/UJd8oCeCJ36Vd2u13XXHONFi5caNrWoUMHffPNN5V++PXfuVOPqK33n/QrNCR13bMef/xxGYbh8FVcXFz+EOxp06bpiiuucNqf0tLSNHLkSH366aeVfj16Vu1haFSP7d+/X4sXLzbVL7roIkVERFRrzYredLjikjhna5zsTY6z7bWV5WR53CkL4Ilqo2e5G3fqE+6UBfA07tKvDMPQhAkTNHv2bNO2Vq1aacmSJRV+2s7JuFOPqK33n/QrNBTu0rN8fX0VGRmpnj17aty4cZo5c6ZSU1OdDq7Kysp03XXX6bfffqvU2vSs2sPQqB776KOPnF4aV5NLECt6gGJ17jutzBoVPSH+RHlqK0tFr2dVlpP9bABPUxs9y93Qs4D6wV361S233KIPP/zQVG/evLl+/PFHtW7dutpru1OPqK33n/QrNBTu0rOciYyM1IwZM/Tqq6+atpWVlen666+v1BU69Kzaw9CoHps+fbqp1rp1a5111lnVXtPPz8/pU9+zs7OrveaJ1mjSpMkJj3G2vbayhIWFnfDSP2dZCgsLVVRU5PIsFb0e4Mlqo2e5G3oWUD+4Q7+688479c4775jqzZo1048//qgOHTrUaP267FcVvd7JttU0D/0KDYU79KyTueuuu3TzzTeb6rt27dLcuXNPejw9q/YwNKqnfvnlF+3evdtUHzdunGw2W43WdnaZ88GDB2u0ZkVrnOySanfP4oo8FR1f3cvNAXdUmz3LndCzAM/nDv3q3nvv1euvv26qN23aVD/++KO6dOlS49dw9nc2IyNDdru9Rus66xH+/v5q1KhRlbJUtFZNs5zo9QBP5A49q7KeeeYZBQUFmeozZ8486bH0rNrD0KiecvagMy8vL40bN67Ga7dt29ZU27dvX43WLCsr04EDByr1Wifbvn///gqfWF9Zzr6f6mSpaK2aZgkICOANDeqV2uxZ7oSeBXg+q/vVAw88oFdeecVUj4iI0A8//KAePXq45HWc9YiysjLt37+/Rus66xFt2rQ54clrXfarE70e4Ims7llV0bhxYw0fPtxUX7FixUmPpWfVHoZG9VBOTo7mzJljqp911llq1apVjdfv2LGjqbZz584arZmSkqKSkpJKvdbJtpeUlCglJaVGeXbt2uWSLFLNfzbOsnTo0MHt/mUAqK7a7lnuhJ4FeDar+9XDDz+sF1980VQPDw/X4sWL1adPH5e9Vl32iJP1q5iYGKePR6iNLKGhoYqKiqrRuoC7sLpnVUf//v1NtSNHjig/P/+Ex9Gzag9Do3po1qxZTv9SuepBZ3379jXV0tLSlJWVVe01161b57R+sjc/zrJI0oYNG6qdJTMzU2lpaVXOEhkZqdjYWJdmkZz/bFz5phCwWm33LHdCzwI8m5X9atKkSZo8ebKpHhYWpsWLFzs90aqJnj17Ov3Y6Jr0CMMwnB5/sh5hs9nUu3dvl2aRnPer3r17M+RGveGJ77EiIyOd1o8ePXrC4+hZtYehUT30wQcfmGqNGzfWhRde6JL1ExISnNYr+3GIziQmJppqTZs2Vbt27U54XPv27Z0++MvVWaSKv++T7VOTLNnZ2dq2bVu1sgCeorZ7ljuhZwGezap+9dRTT+mpp54y1UNDQ7Vo0SLFx8e7/DUDAgLUq1cvU70mPWLz5s1OP/2nuv1q5cqVMgyjWlkMw1BSUlK1sgCewhPfY+Xl5Tmt+/n5nfA4elbtYWhUz2zdutXpL9PYsWPl7+/vktfo0aOH00vgvv/++2qv6ezYs84666RTU5vN5vSp/67OEh0dXalnBAwbNsxUW7dunTIyMqqVZcmSJU4f3ubsdQBPVBc9y53QswDPZVW/mjx5siZNmmSqh4SE6LvvvtOgQYNq7bWd/d396aefKvXx184461e+vr46/fTTq5UlIyNDa9eurVaWNWvWKDMzs1KvA3giT32P5ezqaV9fXzVu3Pikx9KzagdDo3rG2YPOJNdegmiz2XTeeeeZ6nPmzKnWw1w3b96sLVu2mOrnn39+pY4fPXq00zW3bt1a5SylpaVO7/t19hrOnHvuuaZBl91u1xdffFHlLNKfl5T+U8eOHV3yqSiAO6iLnuVu6FmAZ7KiX7300kt6+OGHTfWgoCAtWLBAp512Wq29tuS8lxw9elSLFy+u1nrOesQZZ5yh0NDQkx5b0X6zZ892WZbQ0FCdccYZ1VoPcDee+h7L2aCmU6dO8vb2Pumx9KxaYqDeKCkpMaKiogxJDl9xcXEuf62lS5eaXkeSMXPmzCqvddNNN5nWCQkJMXJzcyt1fG5urhEcHGxa46abbqpylpkzZzr9vn755ZdKr3H66aebju/atatht9urlGXfvn2Gj4+Paa0nnniiqt8W4JbqsmdVRevWrU2ZHnvsMZetT88CPI8V/WrKlClO/34HBQUZP/30U6297t/Z7XajTZs2pgxnn312lddKTEx0+v189NFHlV7juuuuMx3fpEmTSr9n/Etubq7RuHFj01rjxo2r6rcFuCV3fY91MsuXL3faJ2677bZKHU/Pqh0MjeqRefPmOf3F/u9//+vy17Lb7UaPHj1Mr9WxY0ejqKio0uts377d8PX1Na1zxx13VCnPbbfdZlrD19fX2LFjR6XXKCwsNDp06GBap1evXlXK8sUXXzj9/2HatGlVWueaa64xreHv728cOHCgSusA7qoue1ZV1PbQyDDoWYCnqet+NXXqVKevFxgYaCxZsqRWXrMiL774otMsVRlc2e12Y8iQIaY1mjVrZhQUFFR6ndWrVzvNMmnSpCp9T48++qjTddasWVOldQB35a7vsU4kJyfH6Nmzp9Pcv/76a6XXoWe5HkOjeuS8884z/SIFBAQYR48erZXXmzVrltNf3spOgvPy8ox+/fo5zfzHH39UKUtKSorh7+9vWqt///5Gfn5+pda45ZZbnH4/n3/+eZWylJWVGd27dzetEx4ebuzatatSa1T0s7311lurlAVwZ3XdsyqrLoZG9CzAs9Rlv/rggw8Mm83m9PUWL17s8tc7mePHjxuRkZGmPK1btzYyMjIqtcZzzz3ntEe88MILVc4zcuRI0zq+vr6VPqlcvny503+wPOecc6qcBXBXddWz3nrrLePVV1+t9HuXimRmZhqnnnqq0z5x+umnV2ktepbrMTSqJ9LT053eFnDVVVfV6us6u61BknHPPfcYJSUlFR6XkZFhnHHGGU6Pre7J2aRJk5yuN3To0BM2iJKSEuPOO+90SZP6y48//uh0vVatWhnr168/4bEzZsww/Pz8TMc2btzYyMzMrFYewN1Y1bMqoy6GRoZBzwI8RV32q9mzZxteXl5O/z4+/vjjRmJioku+CgsLq5Rr2rRpTjP16tXLSE5OPuGxL774otMhWFWvTv/Ltm3bnPacRo0aGT/++OMJj/3hhx+M8PBw07F+fn7G9u3bq5wFcEd12bMee+wxQ5IRFRVl3HPPPcZvv/1Wpdvbjx49arz++utOb736a9C1efPmKueiZ7kWQ6N6oqJp6Ml+EWsqOTnZaNSokdPX7tatm/Hee+8Ze/fuNYqLi428vDxj/fr1xhNPPFFhY0hISDCKi4urlaWoqMiIj493um6TJk2Mp556ytiwYYORn59vFBcXG3v27DHeeecdo2vXrk6PiYiIMFJSUqr9s7nrrrucruvr62vcdNNNxrJly4zs7GyjtLTUSE9PN7788kvj7LPPdnqMJGP+/PnVzgK4G6t6lrOBkKu+pk+fXqUs9CzAM9Rlv3L2/Iva+DrZSZMzF154odO1goODjQceeMBYtWqVkZuba5SUlBj79u0zZsyYYSQkJDg9xs/Pz1i9enW1f04VPe/JZrMZV1xxhfH9998bR44cMUpLS43MzExj4cKFxmWXXeb0RFCS8dprr1U7C+Bu6rJn/TU0+vtXVFSUMWrUKOPf//63MX36dGPevHnG0qVLjeXLlxsLFiwwZsyYYTz88MPGyJEjnV51/fe/z9V5Xu5f6Fmuw9ConujcubPpl6lt27ZVfpBpdfz4449GQEBAjd/AtGvXzkhLS6tRlrS0NKNt27Y1zhIYGFjjh0wWFxcb5557rkve3E2ePLlGWQB3Y1XPcqehkWHQswBPUJf9yp2HRseOHTP69+9f49f28vIyPv300xr/rCZOnOiSn0V1PoQAcGd12bOcDY1c8RUcHFzl2+3/iZ7lOl6Cx1uxYoV27Nhhqo8bN870Ucq1YejQoVq4cKGaNm1a7TXi4uL0888/KzY2tkZZYmNj9csvv6hv377VXiMyMlILFy7UmWeeWaMsvr6+mjt3rsaOHVvtNXx8fPTaa6/poYceqlEWwJ1Y3bPcCT0LcG/0q/8JCwvT4sWLNWzYsGqvERwcrFmzZumqq66qcZ63335b9913X43WeOCBB/TWW2/VOAvgLupDzzrvvPO0ZcsWXXrppTVah57lQnU+poLLjRs3zulEdN++fXWaIy0t7YSX0Tn7CggIMB555JEqPYW+MgoKCoz//Oc/VboCymazGZdddpmxf/9+l2YxDMP4+OOPjZiYmCpNkfv162ckJSW5PAtgNSt7lrtdafQXehbgnuq6X7nzlUZ/KS0tNV599VWnz9k40dewYcNq5Rkc3333ndGxY8cqZenYsaOxcOFCl2cBrFbXPWvfvn3GK6+8YgwfPvyEt5qd7CsoKMgYO3ZsrdxCR8+qOZthGIbg0TZs2KCCggKHWkBAgPr06WNJnm3btumDDz7QokWLtG3bNtntdoft/v7+GjBggM4//3yNGzeuRlconUxGRoamT5+ur7/+Wr///ruKiooctnt5ealr164aNWqUxo8fr65du9ZalqKiIs2ePVtz5szR8uXLlZ2dbdqnRYsWGjZsmMaOHVujqTjgzqzsWevWrTP1AVdp3769IiMja7QGPQtwL+72Hsud5OTk6OOPP9ZXX32lxMRE5eXlOWy32Wxq166dzj77bF133XWKj4+vtSxlZWX6+uuvNWvWLC1dulQZGRmmfSIjI3XmmWfqiiuu0Pnnny9vb+9aywNYxcqeVVRUpPXr1yspKUmbN29WcnKyUlJSdPToUeXl5amkpEShoaEKCwtTeHi42rdvr7i4OMXFxWnIkCEKDQ2t1Xz0rOpjaIRaVVhYqH379iknJ0fe3t5q1KiRWrZsackvfVlZmVJTU5Wdna2ysjKFhYWpZcuWCggIqPMskpSenq7MzEwVFhYqODhYsbGxCg8PtyQLAPdDzwLgKQzDUFpamrKyslRSUqKQkBC1bNlSwcHBluTJzMzUoUOHlJ+fr6CgIEVFRdXqP1IC8Cz0rKphaAQAAAAAAAATHoQNAAAAAAAAE4ZGAAAAAAAAMGFoBAAAAAAAABOGRgAAAAAAADBhaAQAAAAAAAAThkYAAAAAAAAwYWgEAAAAAAAAE4ZGAAAAAAAAMGFoBAAAAAAAABOGRgAAAAAAADBhaAQAAAAAAAAThkYAAAAAAAAwYWgEAAAAAAAAE4ZGAAAAAAAAMGFoBAAAAAAAABOGRgAAAAAAADBhaAQAAAAAAAAThkYAAAAAAAAwYWgEAAAAAAAAE4ZGAAAAAAAAMGFoBAAAAAAAABOGRgAAAAAAADBhaAQAAAAAAAAThkYAAAAAAAAwYWgEAAAAAAAAE4ZGAAAAAAAAMGFoBAAAAAAAABOGRgAAAAAAADD5Pw1XLj5AzLAxAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 426,
"width": 582
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, mag[0])\n",
"plt.plot(t, mag_mm,'--')"
]
},
{
"cell_type": "code",
"execution_count": 213,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"12.2 ms ± 39.7 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%timeit model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 214,
"metadata": {},
"outputs": [],
"source": [
"# use point source for all\n",
"model = mm.Model(\n",
" params\n",
")\n",
"mag_mm = model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": 215,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"629 µs ± 4.81 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n"
]
}
],
"source": [
"%timeit model.get_magnification(t)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"@webio": {
"lastCommId": null,
"lastKernelId": null
},
"kernelspec": {
"display_name": "py311-arm",
"language": "python",
"name": "py311-arm"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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