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Last active February 23, 2024 15:58
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Spline-fit-example-1
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{
"cells": [
{
"cell_type": "markdown",
"id": "d8d405ea-7e0c-4e93-bad9-77bc7faddb6e",
"metadata": {},
"source": [
"# Original\n",
"\n",
"http://vadym-pasko.com/examples/spline-approx-scipy/example1.html"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "3b74db4c-b284-47a1-b982-dd2d80369707",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.interpolate as si\n",
"\n",
"def getControlPoints(knots, k):\n",
" n = len(knots) - 1 - k\n",
" cx = np.zeros(n)\n",
" for i in range(n):\n",
" tsum = 0\n",
" for j in range(1, k+1):\n",
" tsum += knots[i+j]\n",
" cx[i] = float(tsum)/k\n",
" return cx\n",
"\n",
"##### CONTROL POINTS #####\n",
"\n",
"x = [6, -2, 4, 6, 8, 14, 6]\n",
"y = [-3, 2, 5, 0, 5, 2, -3]\n",
"\n",
"xmin, xmax = min(x), max(x) \n",
"ymin, ymax = min(y), max(y)\n",
"\n",
"n = len(x)\n",
"plotpoints = 100\n",
"\n",
"##### PARAMETRIC SPLINE REPRESENTATION #####\n",
"\n",
"k = 3\n",
"knotspace = range(n)\n",
"\n",
"# find knot vector \n",
"knots = si.InterpolatedUnivariateSpline(knotspace,knotspace,k=k).get_knots()\n",
"knots_full = np.concatenate(([knots[0]]*k, knots, [knots[-1]]*k))\n",
"\n",
"# define tuples of knot vector, coefficient vector (control points coordinates) and spline degree\n",
"tckX = knots_full, x, k\n",
"tckY = knots_full, y, k\n",
"\n",
"# construct spline functions\n",
"splineX = si.UnivariateSpline._from_tck(tckX)\n",
"splineY = si.UnivariateSpline._from_tck(tckY)\n",
"\n",
"# evaluate spline points\n",
"tP = np.linspace(knotspace[0], knotspace[-1], plotpoints)\n",
"xP = splineX(tP)\n",
"yP = splineY(tP)\n",
"\n",
"# define coordinates of spline control points in knot space\n",
"cp = getControlPoints(knots_full, k)\n",
"\n",
"##### PLOT #####\n",
"\n",
"offset_x = (xmax - xmin)*0.05\n",
"offset_y = (ymax - ymin)*0.1\n",
"knotpoints_y = [ymin-offset_y*0.5]*len(knots_full)\n",
"knotpoints_x = [xmin-offset_x*0.5]*len(knots_full)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(224)\n",
"ax.grid(True)\n",
"plt.plot(x, cp, '-og')\n",
"\n",
"plt.plot(xP, tP, 'r', lw=2)\n",
"plt.plot(knotpoints_x, knots_full, '>', ms=6, color='black')\n",
"plt.ylim([knotspace[0] - offset_y, knotspace[-1] + offset_y])\n",
"plt.xlim([xmin - offset_x, xmax + offset_x])\n",
"plt.ylabel('t', rotation=0, labelpad=20, fontweight='bold', fontsize=14) # position=(1.0,0)\n",
"plt.xlabel('x', labelpad=10, fontweight='bold', fontsize=14) # position=(1.0,0)\n",
"ax.invert_yaxis()\n",
"plt.title('Spline function x(t)')\n",
"\n",
"ax = fig.add_subplot(221)\n",
"ax.grid(True)\n",
"plt.plot(cp, y, '-og')\n",
"plt.plot(tP, yP, 'r', lw=2)\n",
"plt.plot(knots_full,knotpoints_y, '^', ms=6, color='black')\n",
"plt.xlim([knotspace[0] - offset_x, knotspace[-1] + offset_x])\n",
"plt.ylim([ymin - offset_y, ymax + offset_y])\n",
"plt.ylabel('y', labelpad=10, rotation=0, fontweight='bold', fontsize=14)\n",
"plt.xlabel('t', labelpad=20, fontweight='bold', fontsize=14) #position=(0,0)\n",
"ax.invert_xaxis()\n",
"plt.title('Spline function y(t)')\n",
"\n",
"ax = fig.add_subplot(222)\n",
"ax.grid(True)\n",
"plt.plot(x, y, '-og')\n",
"plt.plot(xP, yP, 'b', lw=2.5)\n",
"plt.xlim([xmin - offset_x, xmax + offset_x])\n",
"plt.ylim([ymin - offset_y, ymax + offset_y])\n",
"plt.title('Spline curve f(x(t), y(t))')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ab7448d8-24e9-40a6-a669-a34a3d1538ad",
"metadata": {},
"source": [
"# Parameric splines using `splPrep`\n",
"\n",
"\n",
"This is just a demo, I make no effort to replicate the original. Note that the default value for `s` differs between `splrep` and `splprep`, so here I explicitly specify `s=0` (== interpolate the data points `(x, y)`).\n",
"\n",
"You can either rely on the default paramerization or supply your own."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1723627d-2660-447e-a5ec-d38138e5f08c",
"metadata": {},
"outputs": [],
"source": [
"from scipy.interpolate import splrep, splprep, splev"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "cf22fb3e-6010-4d26-bc65-6aee29a5dcf9",
"metadata": {},
"outputs": [],
"source": [
"# s=0 for interpolation; default s is (some) smoothing\n",
"tck, u = splprep([x, y], s=0)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "024d0984-2ca1-441f-882a-3ce27ff1a76a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0. , 1.31469705, 2.24953631, 3. , 3.75046369,\n",
" 4.68530295, 6. ])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u * 6"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "bf188dab-d08f-4d16-96d0-41a786865c15",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb18659f820>]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, '-og')\n",
"\n",
"uu = np.linspace(u[0], u[-1], 101)\n",
"plt.plot(*splev(uu, tck)) # splev returns a 2-list, unpack"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "c4d854b9-1f4a-46e8-b98d-ea041a829b92",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb186626920>]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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/Axp5O5OcmcdLK0+hF7UB5WL3xXgWHAgD4MsRLfB0MgwJNSYvvWv3fuhrqCQVL3V6iZApIfi5+HH91nU6/dGJ7w9/L1YX7uDrZs/yGR14uU99NCqJjadj6Dd7HweuJiodmqAwkbwIpXL4ehIDZgfzT2g0Kgme61mPv2Z2xM/dQenQzMriU4sLizQ97T3ZMn4LH/f8GI2qaH0ibTQ2dPHrAsD2a9sL/k7N92MCsNGoCL6SyLz94hiuqSWk5/LKqlMATO5Ui+4NvQDDilpwuKF7blGSF6P2Pu05OfMkQxsOJV+fz3NbnmPoiqEkZyeXffAWSqNW8XSPevz9RCf8PRyISc3hsT8O88mmC+RqRcF6ZSWSF6FEZFnmux2XGTP3EFEp2dR0s+evWZ14oXf9Cjv5uSQy8zKZsnYKE/+ZSGZ+Jt1rdefUrFP0qdOn2K9lvCka3+ED1KvqxP8eaQzAF1sucS5a1E6YiizLvLLqFIkZeTSs5sTr/RsWfi4kIoRcXS41nGrQ0KPhA17lv6rYVeHvUX/zQ/8fsFZbs/ZSwbH5yINl/SVYtBa+rmx4JpCx7XyRZfht33WG/nSAyOQspUMTFCDuMkKx5eTreGbZSb7bcQVZhpGtfdj0XBCt/aooHZpZORN3hjZz27AgdAEqScX73d5n+4TtJe6yaqx72Ru+l1xtbuHfj29fk16NqpKn0/Pc8lCy88S7UVNYcCCMPZcSsNaomD2m5V0doQu3jOr0LtFWqSRJPN3uaQ5OO0hdt7pEpEYQND+IL/Z/gV7WP/wFKgkHGw2fDmvObxNa4+ZgzfmYNIb+vJ/j4beUDk0oZyJ5EYolPj2HMb8dYsPpGDQqiS+GN+fLkYZTAYKBLMvMPT6Xdr+342LiRbwdvdk5cSfvdH2nVBOFm3k1o6pDVbLyszh48/a7ckmS+GJEc7ycbLgan8FHG8+XxZch3OFCTBqfbroIwP8GNqJBNae7Pl+cepcHaeXdiuMzjjOm6Rh0so7XdrzGwKUDSchMKNXrVjR9mlRj47OBNPZ2JjEjj7FzD7E2NErpsIRyJJIXocguxKQx9KcDhEam4GpvxeJp7RnV9uHFppVJWm4a41aPY8aGGeRoc+hXtx+nZp2iW61upX5tSZLoVbsXcLvuxcjNwZqvR7UAYMnhCLadiy319QSDwmPROj09G3oxoYPfXZ+Pz4wnNDYUoPD7UxrONs4sHbaUuYPmYquxZcvVLQTMCWBv2N5Sv3ZF4u1ix1+zOhpWHbWGVcfvdlwWBc+VhEhehCLZdTGOEb8cIColm9oeDqx5sjMd67grHZZZORFzglZzWrH87HLUkprPe33OxnEb8XQoux4396p7MQqq58njQYbj06/9fZq4NHF8uix8sukCV+Iz8HC04fMRzf+zLbTz+k4AWlRtgZeDV5lcU5IkpreazpHpR2jk0Yjo9Gh6LOrBB3s/QKcX24JGDjYa5kxozcwutQH4bscVnlseKjpPVwIieREeSJZl/gi5wfSFx8jM09GxtjurnzRU/QsGsizzw+Ef6PhHR67dukZNl5rsm7KPVzu/ikoq2x8x4zv7Y9HH7nki5eW+DWhS3ZlbWfl8uEFsH5XWiYhbLDpoGG/x9agWeDja/OcxZbVldC/Nqjbj6ONHmRIwBb2s590979Lnzz7EpMeU+bUslVol8caARnw+vBkalcS6U9GMnXuIhPTchz9ZsFgieRHuK1+n561/zvLhhvPoZRjT1pdF09rhai+azhndyr7F8JXDeXbLs+Tp8ni0waOcnHmSTr6dTHK9Gs41aOzZGBmZXTd2/efzNhp1QdM02HA6hjM3xemjkpJlmc83G+pcRrT2oWv9/66gybJ8V7GuKThYOzDv0XksGrIIBysHdt3YRcCcgP9sHVZ2o9vWZNG0drjYWXEyIoUhP+3nUmy60mEJJiKSF+GeUrPzmTL/KEsPRyBJ8NaARnw6rBlW4hh0oUM3D9FyTkvWXFyDlcqK7/p+x5rRa3CzczPpdXv537vuxahxdWcebVEdgC+2XjRpLBXZnssJHL6RjLVGxYu969/zMZeSLnEz7SY2ahuCagaZNJ4JLSZwbMYxmldtTnxmPH3/7MtbO99Cq9ea9LqWpFMdD9YUrAxHpWQz/JcD7L4Yr3RYggmIO5HwH+FJmQz7eT8hVxOxt1bz24Q2PN6ltuiWW0Av6/nqwFcEzQ8iPDWc2lVqc2DaAZ7r8Fy5/DcyvsO/V92L0Ut9GmCllgi+ksh+0Y202PR6mS+2XAJgUkc/qrva3fNxxgQysGYgdlb3fkxZaujRkEPTDjGr9SxkZD4J+YRuC7oRmRpp8mtbitqejqx5shMdaruRkatl2sKjzN9/QxTyVjAieRHucuRGMkN+2s+1hEy8XWz5a1ZHejeuqnRYZiMxK5FBywbxyvZX0Oq1jGoyihMzTtCmeptyi6GrX1c0Kg03Um5wLfnaPR/j62bPY+0Np2I+33JR/OIupnWnorkQk4aTjYYnu9W97+OMCWRZnDIqKjsrO3555BdWjFiBs40z+yP3EzAngA2XN5RbDObO1d6aRVPbM6qND3oZ3l9/nnfWnkOrEz1zKgqRvAiFdl+KZ/wfh7mVlU9zHxfWPtWZJtVdlA7LbOwL30fArwFsurIJG7UNvw78leXDl+NiW77/jZxsnOjo0xF48OrL0z3q4mCt5vTNVDadEUeniypPq+fr7YZVl1nd6tx3sGi+Lp89YXsA0xTrPowxcW7t3Zrk7GQGLRvES1tfIk+XV+6xmCNrjYrPhzfnjf4NkSRYfCicZ5adJF8kMBWCSF4EwHAUeuai4+Rp9fRqVJUVMzri5WyrdFhmQafX8dG+j+i+sDtR6VE0cG/AkcePMLPNTMW20h50ZNrIw9GG6UGGI6RfbbskfmkX0dLD4UQmZ+PpZMOUzrXu+7jDUYdJz0vH3c6dlt4tyy/AO9Rxq8P+qft5vv3zAHxz6BsC5wVy45aYcwWGI+czu9bhl8daY61WsflsLE8vPUGeVvwsWDqRvAjsOB/HzMXHydPp6dekGr+Mb4Wddck7wVYksRmx9P2zL2/vfhu9rGdC89tFk0oy1r3surHrgX0/Hu9SG3cHa24kZrLymKiLeJiMXC0/7LoKGIaM2lvfv3P0jus7AOhZu2eZH4kvDhuNDd/2+5a1Y9ZSxbYKR6OP0nJOS1adX6VYTOamX9NqzJnYGmuNiq3n4nhKJDAWTyQvldy2c7E8seQ4+TqZAc2q8cO4luJEUYEd13fQ4tcW7LyxE3srexY8uoBFQxfhaO2odGi0qd4GFxsXUnJSOB5z/L6Pc7TR8HQPQ83G7B1XxNyjh/g9+DpJmXnUcrdn9EO6R5uyv0tJDG4wmNBZoXT06Uhqbioj/xrJUxufIkcrmhUCdG/gxdyJbbDWqNh+Po4nlxwXU6ktmLhLVWJbzsby5JIT5OtkBjb3ZvYYkbgAaPVa/rfrf/RZ3If4zHiaejXl2OPHmBQwSenQCmlUGnr49wDuf2TaaFz7mvhUsSM+PZd5+8V2wv0kZuQyd991wHha6/4/C6k5qRy+eRgwn+QFoKZLTfZO3svrnV8H4OdjP9Ph9w5cTrqscGTmoWt9T36f2AYbjYodF+J54s8TIoGxUOJOVUltORvD00tPoNXLDGpRndmjA0TiAtxMu0mPhT34OPhjZGRmtJphaNHu2Ujp0P6jKHUvYGhcZ+xT8uvea6RkiYLOe/lp91Uy83Q0reHMwGYPnvy9J2wPOllHPbd6+Ln6PfCx5c1KbcWnvT5l82Ob8bT35FTcKVr/1pqlZ5YqHZpZ6FLfkz8mtcXWSsWui/HMXHxcjBOwQOJuVQltOhPDU0tPotXLPBpQnW9HtUAjEhc2Xt5IwK8BBEcE42jtyLLhy5gzaE659O8oCWPdy4HIA2TkZTzwsY8G1KBhNSfSc7T8sufex6srs8jkLJYcigDgtX4NUakeXIhtbltG99Kvbj9CZ4XSrVY3MvIyeGz1Y0xfN52s/CylQ1NcYD0P5hUkMHsuJTBDJDAWR9yxKpkNp6N5ZtlJdHqZYS1r8M2ogEqfuOTp8nhl2ys8suwRkrKTaFmtJSdmnGBM0zFKh/ZAdarUoZZrLfL1+ewL3/fAx6pVEq/2awDA/ANhYu7Lv/yw6wp5Oj2d67oTVO/hgzRNPRKgrFR3qs6OCTt4t+u7SEj8cfIP2s5ty7n4c0qHprhOdT2YP7kddlZq9l1O4PFFx0QCY0Eq912rkll3Kprnloei08sMb+XDlyNboH7IO8yKLiwljC7zu/DVwa8AeKbdMxycdpB67vUUjuzhJEm6vXVUhDk33Rt4EeDrSp5Wz/IjEaYOz2IkZ+bxT2g0wH3HANwpIjWCy0mXUUtqutfqburwSk2tUvNet/fYMXEH1RyrcT7hPG3ntmXeyXmVvnlhxzruLJjSFntrNcFXEpm28KgoarcQInmpJNaGRvH8csOKy8jWPnwxonmlT1xWX1hNyzktORx1GFdbV1aPWs33/b/HRvPfycHmqqh1L2BIdiZ1MtRnLD0SIbqNFlh5LJI8rZ6mNZxpVbPKQx9vTBTb1WhX7g0KS6OHfw9OzTpFnzp9yNZmM23dNCasmUB6buUeXti+tjsLprTDwVrN/qtJTF1wlKw8MS/K3InkpRJYc/ImL6wILZwM/fnwyp245GhzeGbTMwxfOZyUnBTa12jPyZknGdpoqNKhFVsP/x5ISJxLOEd0evRDHz+gmTfuDtbEpOaw44IYWKfTy/x5KByAiR1qFanpoCXUu9yPl4MXmx/bzKc9P0UtqVlyZgmtf2tNaGyo0qEpqp2/GwunGhKYg9dFAmMJRPJSwe2+FM/Lf51GL8PYdjX5ZGizhxYjVmRXkq7Q6Y9O/Hj0RwBe6fQKwVOCqeVaS9nASsjd3p3W1VsDt5umPYiNRl3Yv2TxoTBThmYR9lyK5+atbFzsrBhUMIn7QfSynp03dgLmX+9yPypJxeuBr7N38l58nH24knyFDr934OejP1fqbaQ2tdxYNK0djjYaDl1P5tmC2kDBPInkpQI7G5XK00tOGIpzW9Xg4yFNK3XisuzMMlr91oqTsSdxt3Nn47iNfNH7C6zUVkqHVirF2ToCQ98XlQT7ryZxNf7Bp5QqukUHDasuo9r4FKmrdGhsKIlZiThZO9G+RntTh2dSnWt2JnRmKIPqDyJXl8tTm55i1KpRpOSkKB2aYlr7ubFwatvCPjDvrTtXqRM6cyaSlwoqKiWbqQuOkpmno3Nddz4b1rzSJi5Z+VnMWD+DcavHkZGXQVDNIEJnhTKg3gClQysTxuRlx/UdRfpF61PFnh4NDZPCjVsmlVF4UiZ7LycAFE7gfhhjvUu3Wt0sPukFw8rd2jFr+bbvt1iprFh1fhWt5rTiaNRRpUNTTGs/N74bHVA4zHFu8HWlQxLuQSQvFVBaTj5T5x8lPj2XBlWd+GW8YaZHZXQ+4Tztf2/P3BNzkZD4X9D/2DVpFz7OPkqHVmY6+XbC3sqe2IxYzsafLdJzJnY03Kz/Pn6TzNzKubdvTNy61veklodDkZ5jyfUu9yNJEs93eJ79U/fj7+rPjZQbdJ7XmW8PfltpVx36N/PmrQGGxpSfbLrIxtMxCkck/FvlvKNVYHlaPU/8eZxLcel4Odkwf0pbnG0t/x1iccmyzILQBbSd25az8Wep6lCVbRO28WGPD9Go7j9szxLZaGzo4tcFKPrWUWBdD/w9HEjP1fJPaJQpwzNL2Xk6Vh67CdxO5B76nPxsQiJCAMutd3mQtjXacmLmCUY0HkG+Pp8Xt73I4OWDScpKUjo0RUwL9GdSwb+NF1aGciwsWeGIhDuVW/Ly6aefGjL8558vr0tWOrIs88bqM+y/moSDtZp5k9tS3dU8u8OaUkZeBpP+mcSUtVPIys+ip39PQmeF0qt2L6VDM5le/oavrajJi0ol8Vj7mgAsPhhe6d5hrz8VTWp2Pj5V7OjWwKtIzwmOCCZXl4uPsw8N3BuYOEJluNq6snLESn4e8DM2ahs2XN5AwJwA9kfsVzq0cidJEu8MakKvRlXJ0+p5fNExbiRmKh2WUKBckpejR4/y22+/0bx58/K4XKU1e+cV/j5xE7VK4sfHWtG0huX0oCgrp2JP0ea3Niw+vRiVpOKj7h+xdfxWqjlWUzo0kzKuBOwN20uutmjdc0e29sXWSsXF2HSOht0yZXhmRZZlFhWctBrfwa/IbQOM9S69a/cu0pFqSyVJEk+0fYJD0w9R370+N9Nu0nVBVz4N/hS9XLl6A6lVEt+PDaC5jwu3svKZPP8ISRmiO7U5MHnykpGRwWOPPcbcuXOpUuXhDaCEkll1/Cbf7bgCwIePNqV7Ed9NVhSyLPPrsV9p/3t7LiVdooZTDfZM2sNbXd5CrXr4KRJL18yrGVUdqpKtzeZA5IEiPcfF3oohATUAWHQwzITRmZfQyBTORqVhrVExqo1vkZ9XEetdHiSgWgDHHj/GY80eQyfreHPXm/Rf0p+4jDilQytX9tYa/pjUFp8qdoQnZTFdjBEwCyZPXp566ikGDhxIr14PX7LPzc0lLS3trg/h4fZfTeT1v08D8GS3Oowr2A6oLFJzUhm9ajRPbHyCXF0uA+oNIHRWKEF+QUqHVm4kSSrcFivq1hHAhII9/S1nY4lPyzFJbOZmccHx6Eeae+PmYF2k58RlxHEq7hQAPWv3NFls5sbJxonFQxczb/A87DR2bLu2jYA5Aey6sUvp0MqVp5MNC6a0xcXOipMRKYamn6IHjKJMmrwsX76cEydO8Omnnxbp8Z9++ikuLi6FH76+RX9XVFldik1n1uLjaPUyg1tU5+U+FXMv/n6ORR+j1W+t+Ov8X2hUGr7q/RXrx67Hw95D6dDKXXH7vQA0qe5Cq5quaPUyy45Emio0s5GUkcuGgpMjEzvWKvLzjI3pWlRtgZdD5VrVlCSJKS2ncPTxozTxbEJsRiy9FvXi3d3votNXnhWIul5O/DahNdZqFZvPxvLJpgtKh1SpmSx5iYyM5LnnnuPPP//E1ta2SM954403SE1NLfyIjKz4v0xLIy4thynzj5Ceq6Wdvxtfjqw8vVxkWWb2odl0+qMT129dx8/Fj5ApIbzU6SVUUuU8RGdceTkefbxYJ0SMN/HlRyMq/LvJ1SeiyNPpae7jQoCva5GfV9m2jO6liVcTjjx+hOktpyMj88G+D+i1uFeRxlJUFO1ru/PlSEPt5u8hN1iw/4bCEVVeJvstf/z4ceLj42ndujUajQaNRsPevXv5/vvv0Wg06HT/zdhtbGxwdna+60O4t8xcLVPmHyU6NYfang78NqE1NpqKX9sBkJydzJAVQ3h+6/Pk6/MZ1mgYJ2eepL2PZXc8La0azjVo7NkYGblYy/r9m1XDyUZDTGoOJyIqduHuhtOGG+3IYtS6yLJ8u1i3Ah6RLg57K3vmDp7LkmFLcLR2ZE/YHlr82oItV7coHVq5eTSgBq/0Naxwv7/hPNvOxSocUeVksuSlZ8+enDlzhtDQ0MKPNm3a8NhjjxEaGopaXTlutKYgyzKvrz7D+Zg0PBytWTilHa72Rdu7t3QHIg8Q8GsA6y6tw1ptzQ/9f2DVyFVUsRPF4HB3t92istGo6d3Y0HF3QwVuxhWZnMWpm6moJOjftOinzy4lXSIqPQobtQ1BNStPHdWDjGs2juMzjhNQLYDErET6L+nP6zteJ1+Xr3Ro5eLJbnUY284XWYYXVoRyPaFyj9lQgsmSFycnJ5o2bXrXh4ODA+7u7jRt2tRUl60UlhyOYP2paDQqiTkTWuPrZq90SCanl/V8HvI5XeZ3ITItkrpudTk47SBPt3u6Qh9bLa6S1L0ADGzuDcCmMzEVduto4xlDYtaxjjsejjZFfp5x1SWwZiB2VpWvb9L91Hevz8FpB3mq7VMAfL7/c7ou6Ep4SsUfOSFJEh8+2pR2/m5k5ul4cskJcQKpnFXO4gALdjYqlQ82nAfgtX4Nae3npnBEphefGc+AJQN4fefr6GQdY5qO4fiM47TybqV0aGana62uWKmsuJFyg2vJ14r8vMB6HjjZaohPz+VYeMXcOjK2eB/Y7OHTo+8k6l3uz1Zjy48DfmTVyFW42Lhw8OZBWs5pydqLa5UOzeQ0ahU/jG2Ju4M1F2PTeX/9OaVDqlTKNXnZs2cP3333XXleskJJy8nnqaUnyNPq6dWoKtOD/JUOyeT2hO0h4NcAtl7biq3GlrmD5rJ02FKcbUQ91L04WjvS0bcjULzVFxuNmj6NDVspG09XvALMiKQszkSlolZJ9G1StcjPy9flsydsDyDqXR5keOPhnJx5knY12nEr55ahJm3L80VumGipqjrbMntMSyQJlh2JZM3Jm0qHVGmIlRcLIcsyr606TXhSFjVc7fh6ZIsKvV2i0+t4f8/79FzUk5iMGBp5NOLo40eZ3mp6hf66y0JJt44eKdg62nw2Fl0F2zoq3DKq7Y57MbaMDkcdJj0vHQ97DwKqBZgouorBv4o/wVOCeanjSwDMPjybzvM6F2sF0BIF1vPgmR71AHhz9VmuxqcrHFHlIJIXC7HwQBibz8ZipZb46bFWuNhX3GGL0enR9F7cm/f2vode1jMlwNBjoqmXqJUqCmPysuvGrmL14ehc1wNn49ZRBRtCt/GMYTXJWNtTVMZ6l57+PSvtEfzisFZb81UfQ68lNzs3jsccp+Wclqw8t1Lp0EzquZ716FTHnex8Q/1LVl7lnNRensRPowU4FZnCxwUNkd7o36hY/SkszbZr2wj4NYDdYbtxsHJg0ZBFzHt0Hg7WDkqHZjHaVG+Dq60rKTkpHIs+VuTnWWtU9GlSsHV0puKcOgpLzORsVFrBllHxZlyJepeSeaT+I4TODCWwZiDpeemMXjWaWRtmkZ2frXRoJqFWSXw3JgAPRxsux2XwzlpR/2JqInkxc6lZhjqXfJ1MvybVmNK5ltIhmYRWr+XNnW/S98++JGQl0Lxqc47POM6EFhOUDs3iqFVqevj3AEpz6qjibB0ZE7FOddyLPA4ADGMnjkQdAUS9S0n4uviye9Ju3gp6CwmJOcfn0OGPDlxMvKh0aCbh5WTL92MDUEmGWXN/HRNNVk1JJC9mTJZlXl51ipu3svF1s+PzEc0rZL1HZGok3RZ049MQwxiJWa1ncWjaIRp4VK5RB2WppHUvnet44GJnRWJGLkduVIyto9unjIq3ZbQ7bDc6WUd99/rUdKlc88LKikal4aMehsnuXg5enI47bZj6fmqx0qGZRKc6HrzQqz4Ab689y6VYUf9iKiJ5MWN/hNxg+/k4rNUqfh7XGhe7ilfnsv7SegLmBLA/cj/ONs6sGLGCXx75RfTTKCVj8nIw8iAZeUVvoGWtURWextlUAbaObiRmcj6mhFtG18SWUVnpXac3oTND6eHfg8z8TCb+M5Epa6eQmZepdGhl7qnudQmq50FOvp4nlxwnM1fUv5iCSF7M1ImIW3y22bC8+vYjjWjm46JwRGUrT5fHi1tfZPDywSRnJ9PauzUnZpxgVJNRSodWIdRxq4O/qz/5+nz2hu0t1nMHNjf0Qdl8Nsbit46MCVjnuh5UKcaWEYh6l7Lm7eTNtvHb+KDbB6gkFQtCF9BmbhvOxJ1ROrQypVJJfDc6gKrONlxLyOStNWeQZcv+OTJHInkxQ7cy83h6yQm0eplHmnszvoOf0iGVqeu3rhM4L5BvD30LwPPtn2f/1P3UcaujcGQVS0m3jjrVccfV3orEjDwO3yj6gEdzZBx38Egxt4zCU8K5knwFtaSmW61uJoisclKr1Lzd9W12TdxFdafqXEy8SLvf2zH3+NwKdYN3d7Thh7GtUKsk/gmNZvlRUf9S1kTyYmZkWealv04RnZqDv4cDnw5rVqHqXFadX0XLOS05Gn2UKrZVWDtmLd/2+xYbTdF7bwhFYywyLW7yYqVW0bewYZ3lbh1dS8jgQkwaGpVEn2I0poPb/83a+7THxbZirXqag661uhI6M5T+dfuTo81hxoYZjFs9jrTcNKVDKzPt/N14uY+hbu/ddec4H11xvjZzIJIXM7PsSCS7LsZjrVHx47iWONlWjDqXHG0OT258kpF/jSQtN42OPh0JnRXK4AaDlQ6twupeqzsSEucTzhOVFlWs5xpPHW05G2uxs462nDVM++1c16PYg0vFlpHpeTp4smHcBr7o9QVqSc3ys8tpNacVJ2JOKB1amZnZpTbdG3iSp9Xz4spQ8rR6pUOqMETyYkZiUrP5pKCfy6t9G9CkesV4x3c56TIdfu/AL8d+AeD1zq+zd/JecYLDxNzt3WldvTVQvCnTYBhe6GSjISkzj3MW+o5x76UEgGKvuuhlPTuv7wRE8mJqKknFK51fIXhKMDVdanLt1jU6/tGRHw7/UCG2kVQqia9GtsCtYP7RL3sqdrfh8iSSFzMhyzJvrTlLRq6WAF9XpnSuGHOLlpxeQqs5rTgVdwpPe082P7aZT3t9ipW6YqwombuS1r1YqVV0rOMOwL4rCWUel6ml5+RzIsIwYLJLPc9iPfdkzEmSspNwsnaiXY12pghP+JeOvh05OfMkQxoOIU+Xx7NbnmX4yuHcyrb8IaHujja8O6gxAD/uvsLlOHF8uiyI5MVMrDsVza6L8VipJb4Y0Ry1yrLrXDLzMpm2dhrj14wnMz+TbrW6ETorlH51+ykdWqViTF52XN9R7HeyQfUNN/19ly0veTl4LQmtXsbfwwFfN/tiPdeY6HX37y6S7HLkZufG6lGr+b7f91irrVlzcQ0t57Tk0M1DSodWaoNbVKdnQy/ydTKvrjpt8af4zIFIXsxAYkYu760ztJN+pkc96ld1Ujii0jkXf452v7djXug8JCTe7fouOybsoLpTdaVDq3Q6+XbC3sqeuMw4zsQX70hql3oegOHYfoaF9aowrhYFFXwNxSHqXZQjSRLPtH+GA1MPULtKbcJTwwmaH8RXB75CL1tuvYgkSXw8tBlONhpCI1OYv/+G0iFZPJG8mIH315/nVlY+Das5Maur5R4XlmWZP078Qdu5bTmfcJ5qjtXYMXEH73V7D7VKrXR4lZKNxoYufl2A203XisrP3QE/d3vydTKHrlnWkengK4lA8beMsvKzCIkIAUTyoqTW1W/3fdLqtbyy/RUGLRtEYlai0qGVWDUXW94c2AiAr7ZdIjyp4jXoK08ieVHY9vNxrD8VjUqCL0Y0x1pjmd+S9Nx0xq8Zz/T108nWZtOnTh9OzTpVOGNHUE5J617g9spFsAXVvYQnZRKelIVGJdGhoG6nqILDg8nT5eHj7EN99/omilAoChdbF5YPX86cR+Zgq7Fl05VNBPwawL7wfUqHVmJj2vrSsbY7Ofl6Xv9bNK8rDcu8U1YQqdn5vLXGsJT/eJfaNPdxVTagEjoZc5LWv7Vm6ZmlqCU1n/b8lM2PbcbLwUvp0ARuJy/7wveRo80p1nODClYu9l2xnHe8xlhb+VXB0UZTrOfeuWVUkforWSpJkpjRegaHpx+moUdDotKj6L6wOx/t+widXqd0eMUmSRKfDW+GrZWKg9eTRPO6UhDJi4I+3XSB+PRc/D0cCod5WRJZlvnpyE90+KMDV5Kv4OPsw97Je3k98HVUkvinZS6aejWlmmM1srXZHIw8WKzndqrjjlolcSMxk8jkLBNFWLaCCwqMu9Yv3pYR3D5SLraMzEvzqs05+vhRJraYiF7W8/but+n7Z19iM2KVDq3Y/NwdCpvXfbLxArGpxXtDIRiIO4xC9l9NLMy6PxvWDFsry6oJSclJYcRfI3h689Pk6fIYVH8QoTND6Vyzs9KhCf8iSRK9avcCir915GRrRauarsDtOhJzlq/Tc6CgPqe4xbpxGXGcijsFQM/aPcs8NqF0HK0dWThkIQseXYC9lT07b+ykxa8tit3DyBxM6exPgK8r6bla/veP2D4qCZG8KCArT8vrq08DMKGDH+1rF29fXmlHoo7Qck5LVl9YjZXKim/7fsvaMWtxt7esr6MyKV3di+UcmQ6NTCEjV0sVe6tiN3ncecPQmC6gWoDY8jRjkwImcezxYzTzakZ8Zjx9Fvfhf7v+h1ZvOSfi1CpDSwwrtcSOC/GsOxWtdEgWRyQvCvhq62Uik7Op7mLLq/0aKB1OkcmyzDcHv6HzvM6EpYTh7+rP/qn7eb7D86I+wMwZV16ORx8nKat4J4e6FGy/7L+WiFZn3sdVjQlWYD3PYvdKEkekLUcjz0Ycnn6Yma1nIiPzcfDH9FjYg5tpN5UOrcjqV3Xi6e71AMOJ06SMXIUjsiwieSlnx8NvMf+A4Yz/J8OaWczsoqSsJAYvH8xL215Cq9cyovEITs48SdsabZUOTSiC6k7VaeLZBBmZXTd2Feu5zWq44GJnRXqOllM3U00UYdkwFusWd8tIluXCo+QiebEMdlZ2/PrIrywbvgwnayeCI4IJ+DWAjZc3Kh1akT3RrQ4NqzmRnJnH++vPKx2ORRHJSznK1ep47e/TyDIMa1WDbg0sY2k6JCKEgDkBbLi8ARu1DT8P+JmVI1aKabsWpqRbR2qVRGBdQzJgzltHtzLzOH0zBSh+8nIx8SJR6VHYqG0IrBlogugEUxnTdAwnZp6glXcrkrKTeGTZI7yy7RXydHlKh/ZQ1hoVX4xojkoydFnfcT5O6ZAshkheytHig+Fcjc/Aw9Gatwc2Vjqch9LLej4J/oRuC7pxM+0m9d3rc2j6IZ5o+4TYJrJAvevcTl6KWyDYpb7593vZfy0RWYb6VR3xdrEr1nONCV2QXxB2VsV7rqC8um51OTD1AM+2exaArw5+RZf5XQhLCVM2sCJo7uPK40G1Afhw43kxebqIRPJSTlKy8vh+5xUAXunbgCoO1gpH9GBxGXH0+7Mfb+16C52s47Fmj3Hs8WMEVAtQOjShhLr6dcVKZUVYShjXbhVvum1gQdFuaGQKqdn5pgiv1IIvG7eMin9EWtS7WD4bjQ2z+89mzeg1uNq6cjjqcOHBAnP3bM96eDrZEJ6UxeJD4UqHYxFE8lJOfth1lbQcLQ2qOjGita/S4TzQzus7CZgTwPbr27HT2DFv8DwWD12Mk41lz1yq7BysHejk2wko/qiAGq521PF0QC/DwWvmeWQ65GrJ6l3ydfnsCdsDiOSlIhjScAihM0Pp4NOBlJwUhq8czjObnil2g8by5GCj4aXehl5f3++8QmqWeb5BMCcieSkH4UmZLDoYBsCbAxuZ7cRorV7LO7vfoffi3sRmxNLEswnHZhxjSsspYpuogijNkemOBa32j4bdKtOYykJUSjZRKdmoVRJta7kV67mHbh4iIy8DT3tPWlRrYaIIhfLk5+rHvsn7eLXTqwD8ePRHOv3RiStJVxSO7P5GtvGlQVUnUrPz+XG3+cZpLkTyUg6+2HKJfJ1MUD2PEnX9LA9RaVH0XNSTD/d9iIzM9JbTOfL4ERp7mn9tjlB0xrqXXTd2FbsvRhs/Q1JwLNz8kpfjBTE19nbGoYQjAXrW7ik6Q1cgVmorPu/9OZvGbcLD3oOTsSdp9Vsrlp1ZpnRo96RWSbwxoCEACw+EE5FkGR2tlSJ+Uk3sePgtNp6JQSXBWwUTRc3N5iubCZhjGHjmaO3IkmFLmDt4LvZW9kqHJpSx1t6tcbV1JTU3lWPRx4r3XL8qAJyLSiUn37zmyhwPSwZux1gcot6lYutfrz+hM0Pp4teFjLwMxq0ex4z1M8jKN7/koFsDL4LqeZCn0/P51otKh2PWRPJiQrIs89FGw9n9ka19aVjNWeGI7pavy+e17a8xYOkAErMSCagWwIkZJxjXbJzSoQkmolapCyd9F7fuxaeKHV5ONmj1MqciU0wQXckZV4OKm7yk5KRwJOoIIJKXiqyGcw12TtzJO13eQUJi7om5tP+9PecTzK+3ypsDGiFJsPF0TOGKovBfInkxoU1nYjkZkYKdlZoX+5jX4MXwlHC6LOjCFwe+AOCptk9xcNpB6rnXUzgywdRKWvciSRJtahmSA3PaOsrM1XIhJg2gML6i2n1jN3pZTwP3Bvi6mHchvVA6GpWG97u/z/YJ26nqUJWz8WdpO7ctC0IXmNVsoUbezoxs7QPAJ5sumFVs5kQkLyaSq9Xx+RbDst+MLrWp6myrcES3/XPxHwLmBHDo5iFcbFxYNXIVPw74EVuN+cQomI4xeTl48yDpuenFem6rmobk4IQZJS+hkSnoZajuYlvi/i5i1aXy6Fm7J6dmnaJX7V5k5WcxZe0UJv0ziYy8DKVDK/Ri7wbYWak5Hn6LLWctb3J2eRDJi4ksPhhORHIWnk42zOhSW+lwAMjV5vL8lucZumIoKTkptKvRjpMzTzK88XClQxPKUR23Ovi7+qPVa9kbvrdYz21TcJLneMQt9HrzeEdoXFpvXcxTRnBH8lJHJC+VSVXHqmwdv5WPe3yMSlKx+PRi2vzWhlOxp5QODYBqLrY8XnDf+GzLRdG47h5E8mICKVl5/LDrKgAv9a5f7NMPpnA1+Sqd5nVi9uHZALzU8SWCpwTjX8Vf4cgEJRRuHRWz7qVJdWdsrVSkZOVzPdE83qkat7DaFLPeJSwljKvJV1FLarrV6maCyARzppJUvBn0Jnsm7aGGUw0uJV2i/e/t+fXYr2axVTOzS23RuO4BRPJiAj/uukpqdj4Nqjoxso3y++grzq6g1ZxWnIg5gZudG+vHruerPl9hrTbvLr+C6dw5KqA4rNQqmvu4AphFMaFOL3OyhMW6xsStg08HnG3Mq5heKD9BfkGEzgplYL2B5OpyeWLjE4xeNZrUHGWHkIrGdQ8mkpcyFpGUxUIzaUiXnZ/NzPUzGfP3GNLz0gmsGUjozFAeqf+IYjEJ5qGHfw8kJC4kXuBm2s1iPde4wnHMDJrVXYlPJz1Xi721mobVitcBWtS7CEYe9h6sG7uOr3p/hUal4a/zf9Hqt1bFbidQ1kTjuvsTyUsZ+3zLRbNoSHcx8SLtf2/Pbyd+Q0LiraC32D1ptzhRIQDgZudGm+ptANhxfUexnms80WMOKy/GBKplTVc06qL/OtPpdey8sROAXrV7mSQ2wbKoJBUvdXqJkCkh1HKtxfVb1+n0RydmH5qt2DaSaFx3fyJ5KUOnIlPYeCYGSTKc1VfKolOLaP1ba87En8HLwYut47fyUY+P0KiUr70RzEdJj0wbTxxdT8wkOTOvzOMqDuOpp9Y1i7dldDL2JMnZyThZO9GuRjtThCZYqPY+7Tk58yTDGg0jX5/P81ufZ8iKISRnJysST9f6noWN677adkmRGMyRSF7K0M97DEW6QwNq0Mi7/PfQM/IymPzPZCb9M4ms/Cx6+PcgdGaoOEkh3JPx38WO6zuK9c7S1d6aul6OgPKrL8dKeNLIuNrU3b87VmqrMo9LsGyutq6GFhL9f8Rabc26S+sI+DWAA5EHyj0WSZJ4rZ9h9WXD6WjCkzLLPQZzJJKXMnItIYNt5+MAeKJbnXK//um407Sd25aFpxaiklR80O0Dto3fhreTd7nHIliGjj4dsbeyJz4znjPxZ4r13MK6l3Bl3o0CxKfnEJGchSQZto2KQ9S7CA8jSRJPtXuKQ9MOUdetLpFpkXSZ34XPQz5HL5fv0eWmNVzoUt8TvQxzg6+X67XNlUheysjcfdeRZejVyIt6VYtXOFgasizz2/HfaP97ey4mXqS6U3V2TdzF213fRq1Sl1scguWx0djQ1a8rUPwj0638lG9WZ7x2g6pOONsWffUkKz+LkIgQQCQvwsO19G7JiRknGNt0LDpZx+s7X2fAkgHEZ8aXaxyzuhr6vvx17CaJGbnlem1zJJKXMhCflsPqE1EAzOpafqsuablpjFs9jpkbZpKjzaF/XcMAsq61upZbDIJlK2ndi3Hl5dTNVHK1ygxpNBbrFveIdHB4MHm6PHydfanvbl5jOwTz5GTjxJJhS/h90O/YaezYem0rAb8GsCdsT7nF0LG2Oy18XMjV6ll4IKzcrmuuRPJSBv7Yf4M8nZ42flUKO5Ca2vHo47Sa04rlZ5ejUWn4otcXbBi3AU8H5U44CZbHWPeyL3wfOdqcIj/P38OBKvZW5Gn1XIot3oiBsnLqZgpwu4C4qO7cMpIk5VoZCJZFkiSmtZrGkceP0NizMTEZMfRc1JP397yPTm/6BF6SpMI3x4sOhpOZqzX5Nc2ZSF5KKS0nn6WHIoDyWXWRZZnvD39Pxz86cu3WNWq61GTf5H280vkVVJL4dgrF08SzCd6O3mRrs4tVjChJEk1ruABwLjrNVOHdl14vc77gus18XIr1XDESQCiNpl5NOTL9CFMCpqCX9by39z16L+5NdHq0ya/dp0k1/D0cSM3OZ9mRCJNfz5yJu10pLT0cQXqulnpejvRo6GXSa93KvsWwlcN4bstz5OvzGdJwCCdnnqSjb0eTXleouCRJKuxzUty6l8bVDSfqzkaVfyfSsKRMMvN02GhU1PZwKPLz4jLiOB13GoCe/j1NFZ5QwTlYOzDv0XksHroYBysHdoftJuDXALZd22bS66pVEo8HGWpf/gi5Qb6u8s48EslLKeRqdcwLuQEYJkerTNhN99DNQ7Sc05J/Lv6Dtdqa7/t9z+pRq3GzK59tKqHiKmndS9PqhhWPswqsvBiv2cjbuVjN6YxHpFtWaym2WIVSG998PMdnHKdF1RYkZCXQ98++vLnzTbR6023pDGtVAw9HG2JSc1gXavrVHnMlkpdSWHMiivj0XLxdbHk0oIZJrqGX9Xy5/0uC5gcRnhpOnSp1ODD1AM+0f0bs1wtlwrjyciLmBElZSUV+XpOClZeLMWloy/kd4Lno1LtiKCpxRFooaw08GnBo+iGebPMkAJ+GfEq3Bd2ITI00yfVsrdRMDawFwJx918xmunt5E8lLCen0Mr/tM5y3nxboj7Wm7P9TJmQm8MjSR3h1x6to9VpGNxnNiZknaF29dZlfS6i8vJ28aerVFBm5sGV+UdRyd8DBWk2uVs+1hPJtnHUuyrDyYqy7KQpZlkW9i2ASthpbfhr4EytHrMTZxpn9kfsJmBPA+kvrTXK9x9r74Wij4XJcBrsvle+RbXMhkpcS2n4+luuJmTjbahjTrmaZv/6+8H0EzAlg89XN2GpsmfPIHJYNXyam3wom0cu/+HUvKpVUWPdiXAkpD7Isl2jl5ULiBaLTo7HV2BJYM9BU4QmV2MgmIzk58yRtqrchOTuZwcsH8+LWF8nTle0YDRc7K8a1N9x3ft17rUxf21KI5KUEZFnml72GVZeJHWvhaFN2M4N0eh0f7fuI7gu7E50eTUOPhhyefpgZrWeIbSLBZIwrEduvby/WqIAmxrqXqPKre4lOzeFWVj4alUT9YjSENCZmQTWDsNXYmio8oZKrXaU2+6fu54UOLwDw7aFvCZwXyPVbZdsZd2pnf6zUEkfDbnFcwU7XShHJSwkcvpHMqcgUbDQqJneuVWavG5sRS98/+/L27rfRy3omtZjE0ceP0rxq8zK7hiDcS1e/rliprAhPDedq8tUiP6+JAisv5wpON9X1csTWquhdpEW9i1BerNXWfNP3G9aOWUsV2yocjT5KyzktWXV+VZldo5qLLUNbGmotf91b+UYGiOSlBIzLdCPb+ODhaFMmr7n92nZa/NqCnTd2Ym9lz4JHF7BgyAIcrR3L5PUF4UEcrB3o5NsJKN6pI2PNyfnotHIrHDSeNCpOvUueLq+wG6qodxHKy+AGgwmdFUon306k5aYx8q+RPLnxyWI1hHyQGV0MvcW2n4/jarwyzSKVIpKXYroYm8aeSwmoJArP25eGVq/lf7v+R98/+xKfGU8zr2Yce/wYkwImlUG0glB0JTkyXdfLEWuNivRcLZG3skwV2l3OF6zyNC1Gvcuhm4fIzM/E095TrGQK5aqmS032TNrD651fB+CXY7/Q4fcOXE66XOrXruvlSO/GVQEKD5BUFiJ5KablRwzH3/o2qYafe9GbY93LzbSbdF/YnY+DP0ZGZmbrmRyefphGno3KIlRBKBbjisSuG7uK3KfCSq2iYTVD3Ul51b0Yr9OkGCsvxnqXXrV7iU7UQrmzUlvxaa9P2fLYFjztPTkVd4pWc1qx5PSSUr/2zC6GN9HrTkWTnpNf6tezFOKnuBjytHrWhhoGMI5u61uq19p4eSMBvwYQEhGCk7UTy4cv59dHfsXOyq4sQhWEYmvt3ZoqtlVIy03jaNTRIj/PWLRbHnUviRm5xKblIEmGBnVFJepdBHPQt25fQmeF0r1WdzLzMxm/ZjzT1k4jM6/krQZa+1WhtqcDOfl6Np+JLcNozZtIXoph18V4bmXl4+VkQ1C9knXnzNPl8fK2l3lk2SMkZSfRyrsVJ2aeYHTT0WUcrSAUj1qlpod/D6B4W0fGot3y6LRrnKPk7+5Q5FN+t7JvcTTakIyJehdBadWdqrN9wnbe6/oeEhLzQufR7vd2nIs/V6LXkySJ4a18AFh1/GZZhmrWRPJSDMZ/GENb1UBdglEAN27dIGh+EF8f/BqAZ9s9y4GpB6jrVrdM4xSEkipJ3UvhgMao1GIdsy6Jwv4uxdgy2h22G72sp6FHQ3ycfUwVmiAUmVql5t1u77Jz4k68Hb05n3CetnPb8seJP0r0MzSsVQ0kCY6EJROeVL4NI5UikpciSszIZU9BJ8MRrYr/C3D1hdW0nNOSI1FHcLV1Zc3oNczuPxsbTdmcVhKEsmBcmTh08xDpuUU7vdCwmhNqlURSZh5xabmmDK+ws25xmtMZ613ElpFgbrr7dyd0Vih96/QlW5vN9PXTGb9mfJF/9oy8XewIrOsBwN8nokwRqtkRyUsRrQ2NRquXaeHrSr1iNMbK0ebwzKZnGL5yOKm5qXTw6UDozFCGNBxiumAFoYRqV6lN7Sq10eq17A3fW6Tn2FqpqetpONJv6gnTJemsu+OGYRijcYaTIJgTLwcvNj22ic96foZaUrP0zFJa/9aakzEni/U6I1ob3lT/ffxmpZh3JJKXIjJuGY1oVfQBjFeSrtDpj078ePRHAF7t9Cr7Ju/Dz9XPJDEKQlko3DoqxqiAht6GhP5KfIZJYgLIydcRnmw4jl3UYt2wlDCuJl9FLanpVqubyWIThNJQSSpeC3yNfVP24evsy5XkK3T4owM/HfmpyNtIfZtUw8lGQ1RKNoduFH3AqqUSyUsRnItO5UJMGtZqFYNaVC/Sc5aeWUqr31pxMvYkHvYebBq3ic97f46V2srE0QpC6ZSk7qWel2Hl5Uqc6RplXY3PQJahir0V7g7WRXqOMQHr4NNBzAUTzF4n306EzgplcIPB5OnyeHrz04z4awQpOSkPfa6tlZpHWngDlaNwVyQvRWD8h9C7cVVc7R/8SzMrP4vp66bz2OrHyMjLoItfF0JnhtK/Xv/yCFUQSq2Hfw9UkooLiRe4mVa0X4J1vUy/8nK14LXreTkVec6XOCItWBo3Ozf+Gf0P3/b9FiuV1V31kg9j3DrafCaWjNyi9WqyVCJ5eQhDb5do4PY/jPs5n3CednPb8cfJP5CQeKfLO+ycuJMazkXfahIEpVWxq0Kb6m0A2HF9R5GeU7+qYeXlanyGyfbbrxS0P69XtWgjM3R6HTtv7ATEEWnBskiSxPMdnufAtAPUrlKbsJQwOs/rzDcHv3ngNlKrmlXw93AgO1/H5jMx5Rhx+RPJy0PsuRRPcmYenk42BNXzuOdjZFlm/sn5tPmtDecSzlHNsRrbJ2zn/e7vo1GV3cRpQSgvxd06qulmj7VaRXa+jqiUbJPEdDnOuPJStOTlZOxJkrOTcbZxpl2NdiaJSRBMqU31NpyYcYKRjUei1Wt5adtLDF4+mKSse9e0SJJU+Ca7om8dieTlIQp7u7SsgUb93/9c6bnpTPxnIlPXTSVbm02v2r0InRlKz9o9yztUQSgzxuRlx/Ud6GX9Qx+vUauo7WkYl3HFRAPiCreNinjaz1jv0r1Wd/EmQrBYLrYurBixgl8G/oKN2oYNlzcQMMfQnf1ehrY09Hw5fCOZiKTymTemBJG8PEBSRi67Lhp6uwy/R2+XU7GnaDO3DX+e/hOVpOLjHh+zdfxWqjpWLe9QBaFMdfTtiIOVA/GZ8ZyJO1Ok59QtLNot+7qXnHxdYfOtoq68iHoXoaKQJIlZbWZxePph6rvX52baTbot6MYnwZ/8581FdVc7Otcx9nypuKsvInl5AGNvl+Y+LjSodvvdnizL/HrsV9r/3p7LSZep4VSDPZP28GbQm2Lom1AhWKut6VqrK1D0raP6VU1XtHsjMRO9DC52Vng6PbyxY1Z+Fvsj9wOi3kWoOFpUa8HxGccZ33w8OlnHW7veot+f/YjLiLvrcYU9X05U3J4v4k77AMas9c5C3dScVEavGs0TG58gV5fLwHoDCZ0VSpBfkFJhCoJJ9PI3NHUravJiyuPSlwtes56XY5FOGu0L30eeLo+aLjWp51avzOMRBKU4WjuyaMgi5j86H3sre7Zf307AnAB2Xt9Z+Ji+TarhaKPh5q1sjoQlKxit6Yjk5T4ux6VzLjoNK7XEoOaG3i5Ho47Sck5L/jr/FxqVhq/7fM36sevxsL93Ia8gWDLjisW+8H3kaHMe+njjKaAr8RllPuPodr1LEbeM7hgJUNRj1YJgKSRJYnLAZI4+fpQmnk2IzYil9+LevLP7HbR6LXbWagY2M/R8WVNBxwWI5OVfdHode8L28M3ubQB0quOOq70V3x36js7zOnMj5Qa1XGsRMiWEFzu+KH4xChVWE88meDt6k6PNYX/E/oc+3s/dASu1RFaejujUhyc7xXEl7naPl6IQ9S5CZdDYszFHHj/C9JbTkZH5cN+H9FzUk6i0qMKGdVvP32Tp6WXsCduDTq9TOOKyY9Lk5dNPP6Vt27Y4OTnh5eXFkCFDuHTpkikvWSqrL6ym1uxadF/YnX9OG+LcFf0D7X5vxwtbXyBfn8+wRsM4OfMk7X3aKxytIJiWJEmF84CKsnVkpVbh72E4cXS5jLeOLhejx0tsRixn4s8gIYlTf0KFZ29lz9zBc1kybAmO1o7sC99HwJwANoV9j0wuKVkyk/9+i+4Lu1Nrdi1WX1itdMhlwqTJy969e3nqqac4dOgQ27dvR6vV0qdPHzIzzW9k9+oLqxmxcgQ3024iyXbY6BsDEJu/i2PRx9CoNPw04CdWjVyFq62rssEKQjkpbr8X48rI1TI8cZSr1RFecOSzKCsvxsZ6Lb1bii1dodIY12wcJ2acoGW1liRmJfLZgY/IVp0CwE7XGoCotChGrBxRIRIYkyYvW7ZsYfLkyTRp0oQWLVowf/58IiIiOH78uCkvW2w6vY7ntjyHjGGf3lbfHAkr8qVotCpDl0J3O3dmtp4ptomESsW48nIy5iSJWYkPfXzhceky7PUSlpiFTi/jZKOhqvPDTxqJLSOhsqrnXo/gKcE4Whl+DrPVhnutnd6QvBjvcc9ved7it5DKteYlNdUwzt7Nze2en8/NzSUtLe2uj/IQHBF81wwXO52hNXq26naSFZcZR3BEcLnEIwjmwtvJm6ZeTZGR7zrNcD+mOC5951iAh715kGX5rmJdQahsjkYfJSPf8POXU3APs9E3QpLtAEMCE5kWafH3s3JLXmRZ5sUXXyQwMJCmTZve8zGffvopLi4uhR++vr7lEltM+h0zIGSw07cCIEd9/P6PE4RKojhbR4UnjuLK7sTR5WIU655POE9MRgy2Gls61+xcJtcXBEty531Kq4olX4pCQoOtPuC+j7NE5Za8PP3005w+fZply5bd9zFvvPEGqamphR+RkZHlEpu3k3fh/9bIPmjkqsjkkaM6c9/HCUJlcWfy8rCEpJa7AyoJMnK1JKTnlsn1rycYkpc6Xg4Pfawxweri1wVbjW2ZXF8QLMm/71PGHQRj3cv9HmdpyiV5eeaZZ1i3bh27d+/Gx+f+k5ltbGxwdna+66M8BNUMwsfZBwmpcG8wR3UWWbr9y9fdzp2gmqIRnVD5dPHrgrXamojUCK4kX3ngY601Knyq2AOGrrhlIaxgLIC/x8NPGol6F6Gya+zRGCuVVeGfb9e9tAIZJCR8nX0t/n5m0uRFlmWefvppVq9eza5du/D39zfl5UpMrVIzu99s4I56l39tGSVnJzM/dH65xyYISnOwdqCTbyfgdvO3B/FzNyQvxqSjNGRZJizRcNKoVsHr3k+eLo+9YXsBkbwIlVNUWhTdF3UnX59f+He5qrPI5KGRvbCW/QD4rt93qFVqpcIsEyZNXp566in+/PNPli5dipOTE7GxscTGxpKdnW3Ky5bIsEbDWDJ0FbZ6Qz2OcanNx9mH3v69kZF5fP3jfLH/CyXDFARFFKfuxdjrJawMJtomZeaRkatFksDX7cHJy8HIg2TmZ+Ll4EWzqs1KfW1BsCRXkq7QeV5nziecp4ZTDWb3nY2Psw+ylFtYAlHVqjurRq1iWKNhCkdbeiZNXn755RdSU1Pp1q0b3t7ehR8rVqww5WVLrKp1ZySscHeUWDj8C3ZP2k3Yc2FsnbCVNwLfAOC1Ha/x+o7Xy7z9uSCYM2PysjtsN1q99oGP9XMvSF7KYNvI+BrVXeywtXrwO0Vjf5ee/j3FgFShUgmNDSVwfiDhqeHUc6vH/qn7ebbDs4Q9F8buSbsZ2bIJAIFVZ1aIxAVAY8oXt7Qb/N5LCQD0a+LLuOYD7vrcJz0/oYptFV7d8Sqf7/+c5Oxkfhn4i8UvvQlCUbTybkUV2yrcyrnF0aijdPTteN/H+nsYt41Kv/JifI1aHg9edQFR7yJUTiERITyy9BFSc1MJqBbA1vFb8XLwAgwlEd1qdcPXIYMNx/dyLOwWmblaHGxMeusvF+LtyR32XDYkL13re97z8690foW5g+aiklTMPTGXsX+PJVdbNicqBMGcqVXqwlb7D9s6qlWw8hKelFnqNzDGlRfja97PrexbHI0+CtweKCkIFd2mK5vos7gPqbmpBNUMYs+kPYWJy51qezjg62ZHnk7PwWtJCkRa9kTyUiAsMZPwpCys1BKd6t6/pfj0VtNZOWIl1mpr/jr/F4OXDyYzz/zGHQhCWStq3YtPFXtUEmTl6Ygv5XHpG0lFS152h+1GL+tp6NEQH+f7n2gUhIpi2ZllPLr8UbK12QysN5At47fgYutyz8dKklT4pnxvwZt0SyeSlwJ7LsUD0MbPDceHLKkNbzycjeM24mDlwLZr2+i9uDfJ2cnlEaYgKMaYvBy6eYj03Pu3/7/zuHRp617CjcmLx4OTF9FVV6hMfjn6C4+tfgytXsu4ZuNYM3oN9lYP3lrtVt+wIrPncrzFlXTci0heCgRfMcxt6dbg3ltG/9ardi92TtxJFdsqHLx5kK4Lulp8x0JBeBD/Kv7UqVIHrV7LnrA9D3xsWRyXLs4xaVHvIlQGsizz8b6PeXLTk8jIPN32aRYPXYyV2uqhz+1Yxx1rtYrI5OzCQaeWTCQvBU5HGeYutal177lL99Lepz37puzD29Gbs/Fn6TyvM9eSr5kqREFQXFG3jozHpW8klvyXZGJG0Y5J37h1g2u3rqFRaehWq1uJrycI5kwv63lp20v8b/f/AHinyzt83//7Ip+sc7DR0KSGofHrmYL7nSUTyQsQn55DQnoukgSNvB8+P+VOTb2asn/qfupUqcONlBsEzg/kTNyZhz9RECyQsRi2OEW7JWV87sOOSRtj6eDTASeb4v38CoIl0Oq1TFs3jW8PfQvAt32/5f3u7z90UOm/NfY2JC/nostn6LEpieQFOF/wjazt4YC9dfGPkPlX8SdkagjNqzYnNiOWLgu6cDDyYFmHKQiK616rOypJxcXEi3dNYv8349Hm0owIMD73YcekxZaRUJHlaHMY+ddIFoQuQC2pWThkIc93eL5Er9W4uiF5OR8jkpcKwfiNbFz93pXaRVHNsRp7Ju2hk28nUnJS6LW4F9uubSurEAXBLFSxq0Kb6oYRGg8aFXB75SWrxMWBYUU4aaTT69h5fScgkheh4knPTWfg0oH8c/EfbNQ2rB69moktJpb49ZoU3OPOR6dafNGuSF64vYRmXFIrqSp2Vdg2fhv96vYjKz+LR5Y+wl/n/iqLEAXBbBSl7sV4XDo7v+THpQsb1D0geTkRc4JbObdwsXGhbY22JbqOIJijxKxEei7qya4bu3CydmLL+C0MbjC4VK/ZoKoTKslQT1ZWU9+VIpIX4EJB8tKkeumnWDtYO7B2zFpGNxlNvj6f0atGM/f43FK/riCYC2PysuP6DvSy/p6PKYvp0oUN6h5wTNqYQHX3745GZfldQwUB4GbaTbrM78LR6KN42Huwe9LuMilGt7NWU8fTMJ3d0uteKn3ykpmrLWyE1bgMkhcAa7U1S4YtYVbrWcjIzNgwg89DPi+T1xYEpXX07YiDlQMJWQmcjjt938cZj0tHJpfsxJHxeTUfcNJI1LsIFc3lpMt0nteZC4kX8HH2IXhKMK2rty6z168odS+VPnm5GJuGLENVZxs8HG3K7HXVKjU/D/yZNwPfBOD1na/z6vZXLX6fURCs1dZ0rdUVeHDdi08VOwBu3ir+FPnU7HzScrR3vc6/ZeZlsj9iPyCSF6FiOBlzksB5gUSkRlDfvT77p+6noUfDMr3G7RNHln1cutInL2VV73IvkiTxcc+P+ar3VwB8eeBLHl//ODq9rsyvJQjlqah1L1Cy5CWq4DluDtb3HSK3L3wf+fp8/Fz8qOtWt9jXEARzEhweTLeF3UjISqBltZYETwmmpkvNMr/O7aJdsfJi0c4X1ruU/KTRw7zU6SX+GPwHKknFHyf/YMzfY8RAR8GiGZOX4IhgcrQ593yMccUk8lbxt42Mz7nfqgvcvWVU3H4XgmBONl7eSJ8/+5CWm0YXvy7snrT7ngMWy4Jx2ygsKYv0nHyTXKM8iOSl8Jh02a+83Glqy6n8NfIvrNXWrDq/ikHLBpGRl2HSawqCqTT2bEx1p+rkaHMIiQi552OMKy9RJVh5Ma7W+FYpQr2LmCItWLClZ5YyZMUQcrQ5PFL/EbY8dv8Bi2XBzcEabxdbAC7G3n9Gmbmr1MlLvk5f+M0ri5NGDzOs0TA2jduEg5UD269vp9eiXmKgo2CRJEmiV+1ewP3rXnwLVk1iUrPJ1937VNL93HzIyktMegxn488iIdHTv2exXlsQzMVPR35i/OrxaPVaxjcfz+pRq7Gzuv9qY1kprHux4DEBlTp5uZ6QSZ5Wj6ON5oHv8MpSz9o92TlxJ252bhyOOkyX+V2ITo8ul2sLQll6WN2Lh6MN1hoVehliU++9tXQ/xpWX+yUvO67vAKCVdyvc7d2L9dqCoDRZlvlw74c8vflpZGSeafcMC4csLNKAxbLQpAKcOKrUyYux2rqxtzMqVfntmbf3ac++yfuo7lSdcwnnxEBHwSIZV15Oxp4kITPhP59XqSR8XEtW93I7ebn3mwpxRFqwVHpZz4tbX+SdPe8A8G7Xd5ndb3aRByyWBWOZhCX3eqnUyYuxWNfU9S730sSrCfun7qeuW13CUsIInB/4wJ4ZgmBuqjlWo5lXMwB23th5z8fUKOFx6QdtG8myXLjyIupdBEui1WuZunYq3x3+DoDZ/WbzXrf3yr3gvLG3oabmSlwGedribemai8qdvJRTse791HKtRciUEFpUbUFsRixdF3TlQOQBRWIRhJK4s9vuvRQely5Go7rUrHzSC3q81LhH8nI+4TwxGTHYaezo5NupuCELgiJytDmMWDmChacWopbULBqyiGfbP6tILL5udjjZaMjT6bkab5kHRyp18mJcyq79gPbjplbVsSp7Ju+hs29nw0DHRb3YcnWLYvEIQnEYVz62X99+zwaMvm7FX3kx/lx6OFrfc8q7ccsoyC8IW41tsWMWhPKWlpvGgCUDWHtpLTZqG9aMXsOEFhMUi0eSJGp7Gu57USnFPw1oDip18pKYngeAp1PZddYtCVdbV7ZN2Eb/uv3J1mYzeNlgVpxdoWhMglAUXfy6YK22JiI1givJV/7z+ZI0qjM+toaodxEqgITMBHos7MHusN2FAxYHNRikdFiFHeUTMyyz51ilTV4yc7Vk5xs63ZblWICSsrey558x/zCm6Rjy9fmM/Xssc47NUTosQXggeyt7Ovt2Bu59ZPr2iICibxs9qN4lT5fH3rC9gEheBPMXmRpJlwVdOB5zvEwHLJaFwuTFQqdLV9rkxZht2lmp79t+vLxZq635c+ifPNHmCWRkZm2cxWchn4l5SIJZe9CRaWMCEpuWU+TCwAcdkz4YeZDM/Ey8HLxoVrVZSUMWBJO7nHSZwPmBXEy8iK+zb5kPWCwtDydrQKy8WBzjN8z4DTQXapWanwb8xP+C/gfAGzvfEAMdBbNmrHvZHbYbrV571+c8HW2wKej1EpNatK2jwuTF9b/JizFB6lW7V7keLRWE4jgRc6JwwGID9waETA0p8wGLpXV72yhP4UhKptL+9CcU1LuYw5bRv0mSxIc9PuTrPl8D8NXBr5i+bvp/bgyCYA5aVmtJFdsqpOWmcSTqyF2fkySJ6gVJSHRK0RrVRacYa17un7yILSPBXO0L30f3hd1JyEqglXcrkw1YLC3jvS9BrLxYlsKVFzNMXoxe7Pgi8wbPQyWpmBc6j9GrRouBjoLZUavU9KxtaNF/r7oX4xyVoq68GB/n7XJ38nIr+xbHoo8BInkRzNOGyxvo+2df0nLT6OrXld2TduPp4Kl0WPckCnYtlCUkLwBTWk5h1chVWKutWX1hNQOXDiQ913KHaQkV04PqXoxJSEwRRgRk5+m4lWWYdFv9X8nLrhu70Mt6Gnk0ooZzjdKGLAhlasnpJQxZbhiwOKj+IDY/thlnG2V6iBWFp7HmRRTsWhZj8uLpaF41L/cytNFQNo3bhKO1Iztv7KTX4l4kZSUpHZYgFDImL4duHiIt9+6W49VdDSsv0UXoJ2FcdbG3VuNsd3chvdgyEszVj0d+ZPya8ehkHROaT+DvUX+Xy4DF0jC+cU/L0ZKr1SkcTfFV3uTFWPOicI+XoupZuye7Ju7C3c6dI1FH6LKgC1FpUUqHJQgA+Ffxp06VOuhkHXvC9tz1OePKS1GGMxpXZ7xdbP/TMr0weREjAQQzIcsyH+z9gGc2PwPAs+2eZcGQBeU2YLE0XOyssFIbfsaSLLBot/ImLxaybXSntjXasm/KPmo41eB8wnkC5wdyNfmq0mEJAnDH1tG/6l6MNS/RRUhejKsz/653uX7rOtdvXUej0tDVr2tZhCsIpaKX9Ty/5Xne3fMuAO93e5/v+n1nMafgJEnC3aGgaNcCt44s47+yCVhi8gLQ2LMxIVNDbg90nBfIqdhTSoclCHeNCriTt2vRC3bvXHm5kzEh6ujTEScbp1LHKgilka/LZ/I/k/n+yPcAfN/ve97p+k65D1gsLUvu9VKJkxfjUWnzr3n5N+NAx4BqAcRlxtF1QVf2R+xXOiyhkuvh3wOVpOJS0iUiUyML/964ipKSlU923oP31guTl3/1eBH1LoK5yM7PZvjK4Sw+vRi1pGbx0MU80/4ZpcMqEUs+cVQpk5ecfB0ZuYaeKZZS8/JvVR2rsnvSbgJrBpKam0rvxb3ZfGWz0mEJlZirrSttq7cF7l59cbbV4GCtBiD6IasvxtWZ6nesvOj0Onbd2AWIehdBWWm5afRf0p/1l9djq7Flzeg1jG8+XumwSsySG9VVyuTFuL9nrVHhZCajAUrC1daVreO3MqDeAMNAx+WDWX52udJhCZXYvY5MS5JUuJLysKLdmJT/rrwcjznOrZxbuNi40KZ6m7IOWRCKxDhgcW/4XpxtnNk6fqtZDFgsjcJGdaLmxTLcPiZtY3F7lP9mb2XPP6P/YVyzcWj1Wsb9PY5fj/2qdFhCJWVcGdlxfQd6+fYso8Ki3Yccl46+x8qLsd6lh38PNCrLfbMhWK7I1EiC5gdxPOY4nvae7J60my5+XZQOq9SMZRNi28hCGLeMnGwrxi9CK7UVi4cu5sk2TyIj88TGJ/gk+BMxD0kodx18OuBg5UBiVuJdheTVi9CoLiNXS3qO4WfzzpUXUe8iKOlS4iU6z+vMpaRL+Dr7EjI1hFberZQOq0w42xmOdBt/7ixJpUxe1CrDaou+At3cVZKKHwf8WDjQ8a1db/HytpdFAiOUK2u1Nd1qdQPu3joqyomjmIJVGSdbDY4F27kZeRkciDwAiHoXofydiDlB4PxAItMiaejRkP1T91Pfvb7SYZUZvd5wfzD2e7EklTJ50agMX7ZWX7Fu7MaBjt/2/RaAbw59w7R108RAR6Fc3avu5fZ8o/uvvNzrmPS+8H3k6/Op5VqLOlXqmCJcQbinvWF76bagG4lZibT2bs2+yfvwdfFVOqwyZbwHGt/QW5LKmbwUZJlaXcVKXoye7/A8Cx5dgFpSMz90PqP+GkWOtmgTfQWhtIwrJMHhwWTnG1ZTqjobEpIHFezGpuXc9Vi4Xe/Su3Zvi69PEyzH+kvr6bekH+l56XSr1Y1dk3aZ7YDF0tDqDHVpGrXlpQKWF3EZ0BRkmboKtvJyp0kBk/h71N/YqG1Yc3GNGOgolJtGHo2o7lSdXF0u+yMN/YeqFaymxKXdP3mJK0hsqt2RvOy4sQMQ9S5C+fnz9J8MXTGUHG0OgxsMNvsBi6VhXHnRiJUXy2DcNsrX6R/ySMv2aMNH2fzYZhytHdl1Yxc9F/UUAx0Fk5Mk6T+jAowJya2sfHLy792ozrjyYkx0YtJjOBt/FgmJHv49TB22IPD94e+ZsGYCOlnHxBYT+XvU39hqbB/+RAt1O3mxvFTA8iIuA8Zto4q88mLU3b974UDHo9FHCZofxM20m0qHJVRw/657cbGzwkZj+HUTn3bvY5lx/9o22nHdsOrSyrsV7vbuJo1XqNxkWea9Pe/x3JbnAHiu/XPMf3R+hT+arxMrL5bFWJxU0VdejNrWaEvwlGBqONXgQuIFAucFciXpitJhCRVYr9q9ADgZe5KEzAQkSSpcUYm9z9ZR4cpLQfIijkgL5UEv63luy3O8v/d9AD7o9gHf9v3WYgYslobxHqgWp40sg1XBElllWHkxauTZiP1T91PPrR7hqeEEzg8kNDZU6bCECqqqY1WaeTUDYOeNnYa/c35I8pJqWJGp5mKLLMuFKy/iiLRgKvm6fCb9M4kfjvwAwI/9f+Ttrm9XmuJw4z3QSqy8WAZjllnRjko/jJ+rHyFTDQMd4zPj6bagGyERIUqHJVRQ96t7ibvHiaN8nZ6kTEPyUtXZlnMJ54jJiMFOY0dn387lFLFQmRgHLP55+k80Kg1Lhi3hqXZPKR1Wubp9VNryUgHLi7gMGLPMypa8AHg5eLFn0h6CagaRmptKn8V92HRlk9JhCRWQccVk+/XtyLL8wG2jhPRcZNnQLMvdwbow4eni1wUbjWUOTxXMV2pOKv2W9CscsGgcsVLZGI9KiyZ1FkJ9x1HpytiB1sXWhS3jtzCw3kCytdk8uvxRlp1ZpnRYQgXTxa8L1mprItMiuZx0+YHbRsa/83KyRaWSRL2LYDLxmfF0X9idfeH7CgcsDqw/UOmwFCGa1FmYOxvyVMbVFzAMdFwzek3hQMfHVj/Gz0d/VjosoQKxt7Iv3PLZfn37A7eNjH9X1dmGXG0ue8P3AqLeRShbEakRBM0P4mTsSTztPdkzaU+FGLBYUsZGraJJnYW481hYZSra/TfjQMen2z6NjMxTm57io30fVcrVKME07jwyXdXZsP3zoJWXqs62HLx5kKz8LKo63C76FYTSuph4kc7zOnM56TI1XWoSMjWElt4tlQ5LUaJJnYXR3LG/V1lXXoxUkorv+3/PO13eAeDt3W/z0raX0MuV4xi5YFrGlZPdN3bj7mjomRGflvufBPnO5MVY79Krdq9Kc+pDMK3j0ccLe1xVxAGLJaXTG8cDWN7PWeVMXu6orNZWkl4vDyJJEu93f5/v+n4HwLeHvhUDHYUy0bJaS9zs3EjPSyci/TQAeTo9t7Ly73qcsXFdNRdbUe8ilKk9YXvovrA7iVmJtKnehuApwfg4+ygdllko3DYSKy+WQSXd/mZl5d27VXll9FyH51g4ZCFqSc2C0AWM/GukGOgolIpapaanf08AdofvwN3BGvjvgEbjnx1ttRyLPgbcbnQnCCW17tI6+v1pGLDYvZah27iHvYfSYZmN7IJRHdai5sUySJJEdVc7AG7eylY4GvMyscVEVo9ejY3ahn8u/sOAJQPEQEehVO6se/EyFu2m3528GP98M/McMjKNPRtTw7lG+QYqVCiLTi1i2Iph5OpyebTBo2x6bBNONk5Kh2VWIm9lAVCjir3CkRRfpUxeAGq6Gb5ZEclZCkdifgY3GMyW8VtwsnZid9hueizqQWJWotJhCRbKWPdy+OZhPBzVwH9PHBn/fDbR0DRRbBkJpTH70Gwm/TMJnaxjcsBkVo1aVaEHLJZURJLh/me8H1qSypu8uBckL0mZCkdinrrV6sbuSbvxsPfgWPQxuszvIgY6CiVSy7UWdd3qopN1aCXDVPO4O4YzZuRqySzYvt0fZWiYKJIXoSRkWebd3e/y/NbnAXihwwv8MfiPCj9gsSRSsvJIyzHUNYrkxYKIlZeHa129dWFx24XEC4XHDAWhuIzJSGLONeDu49LGehcHaxVhaZewUlnRtVbX8g9SsGh6Wc+zm5/lg30fAPBR94/4us/XlWLAYkkY732eTjbYWasVjqb4Ku131a8geQkXycsD3XmsMCI1gsB5gZyMOal0WIKFMSYvN9IM/3bi7khejP/b1sawGtPRtyOO1o7lHKFgyfJ1+UxcM5Efj/6IhMRPA37irS5viaP2DxBesGXkZ4GrLlCJkxdf48pLkkheHqamS02CpwTTslpLErIS6LawG8HhwUqHJViQ7v7dUUkqorPOA/dOXvJIAMSWkVA82fnZDF0xlCVnlhQOWHyy7ZNKh2X2jCsvlrhlBJU4efErqHlJyswjI1f0M3kYLwcvdk/aTRe/LqTlptHnzz5svLxR6bAEC+Fq60q7Gu3uqHm5Y9uo4H8n5Rq2lETyIhRVak4qff/sy8YrG7HV2LJ2zFrGNhurdFgWobBY110kLxbFydYKt4KeE2L1pWhcbF3Y8tgWHqn/CDnaHIasGMLSM0uVDkuwEL1r90ZXkLwkZuSRqzUU6RprXrL1MbjautKmehvFYhQsR3xmvGEVOCIYFxsXtk/YzoB6A5QOy2KEJxsOq/iJ5MXy+Iqi3WKzs7Jj9ajVjG8+Hq1ey/jV4/npyE9KhyVYgN61e6MnDZk8AOJSDTUu0SmG5EUrJdDDvwdqleUVDwrlKzwlnKD5QYTGhuLl4MWeyXsIrBmodFgWJTLZ0ONMbBtZIL/C5EUcly4OK7UVC4cs5Jl2zyAj8/Tmp/lw74dioKPwQB18OuBo44hWMtS2RKcafnnGFPx/nZQgtoyEh7qQcIHA+YFcTrqMn4sfIVNCCKgWoHRYFiVXqyv8+avp5qBwNCVTqZMXY8YZLraNik0lqZjdbzbvdn0XgHf2vMMLW18QAx2F+7JSW9GtVje0kqHhYXSK4ZdnVIrh508rJYqRAMIDHYs+VjhgsZFHI0KmhlDPvZ7SYVmcm7eykWWwt1bj4WitdDglUrmTF3exbVQakiTxXrf3mN1vNgCzD89mytopYqCjcF+9/Huhk+IBiEnNITtPR0qW4d9LdVc76lSpo2R4ghnbfWM33Rd2Jyk7ibbV27Jvyj4xYLGE7jxpZKnHySt38iJqXsrEs+2fZdGQRaglNYtOLWL4yuFioKNwT73r9C5ceYlIzijcMtKTRe86gRb7i1QwrbUX19J/SX8y8jLo4d+DnRN3igGLpWA8pOJrofUuUMmTF2OVddStbLQ6sd1RGhNaTGDN6DXYqG1Yd2kdA5YMIC03TemwBDPTyKMRjnb5AJyPjSYm1Vism0ifOqLeRfivhaELGb5yOLm6XIY2HMrGcRvFgMVSMr5ht9QGdVDJk5eqTrZYa1Ro9XLhL1Gh5AY1GMTW8VtvD3Rc2IOEzASlwxLMiCRJtKpRC4Dw5AzOxcQAhmLdHv49FIxMMEffHfqOyWsnFw5YXDlypRiwWAYKu+ta6DFpqOTJi0olFWaeF2PTFY6mYuhaq2vhQMfjMcfpsqALkamRSoclmJHe9QMASMuyZs+1SwC4OWlxt3dXMCrBnMiyzNu73uaFrS8A8GKHF8WAxTJ0Oc5wv/Nzt8yTRlDJkxeAtv5uABy4lqhwJBWHcaCjr7MvFxMv0nleZy4lXlI6LMFMDG/aHT25IFtx6FoqAI2ricRFMNDLep7e9DQfBX8EwMc9PuarPl+JAYtlJDI5i4jkLNQqiZY1XZUOp8TK5V/Dzz//jL+/P7a2trRu3ZrgYPOZixNU11D0FXJFJC9lqaFHQ0KmhtDAvQGRaZEEzQ/iRMwJpcMSzMChqAPoVNEA6POrAbA/ZjWrL6xWMizBDOTr8pmwZgI/H/sZCYmfB/zMm0FvikLuMhRy1XCva+nripOtlcLRlJzJk5cVK1bw/PPP89Zbb3Hy5EmCgoLo378/ERERpr50kXSs444kwZX4jLvmrQilZxzo2Mq7FQlZCXRf2J194fuUDktQ0OoLqxmxcgR50t1biUl55xixcoRIYCqxrPwshq4YytIzS9GoNCwdvpQn2j6hdFgVjjF56VzXsk9rmTx5+eabb5g2bRrTp0+nUaNGfPfdd/j6+vLLL7+Y+tJF4mpvTbMaLgDsvypWX8qap4MnuyftpqtfV9Jy0+j7Z182XN6gdFiCAnR6Hc9teQ4ZmXzp9psXHeloMcw8en7L8+j0OqVCFBSSkpNSOGDRTmPHujHrGNN0jNJhVTh6vcyBgvtcYD2RvNxXXl4ex48fp0+fPnf9fZ8+fThw4MB/Hp+bm0taWtpdH+UhUGwdmZSzjTObH9vMoPqDDAMdlw9hyeklSocllLPgiGBupt0EIFO9p/Dvs9UHQQIZmci0SIIjzGdbWTC9uIw4ui/sTkhECC42LmybsI3+9forHVaFdD4mjVtZ+ThYqwnwdVU6nFIxafKSmJiITqejatWqd/191apViY2N/c/jP/30U1xcXAo/fH19TRleocLk5WqimM9jInZWdvw96m8mNJ+ATtYxfs14fjj8g9JhCeUoJj2m8H9rVbFkqHegI51Uzcr7Pk6o2MJSwgicH0hobChVHaqyd/JeMWDRhIxbRh1qu2OltuwC6HKJ/t/FVrIs37MA64033iA1NbXwIzKyfI7YtvKrgo1GRXx6LlfjM8rlmpWRldqKBUMW8Gy7ZwF4dsuzvL/nfZEwVhLeTt53/TnJ6jtu2o5Fq4p94OOEiul8wnkC5wVyNfkqtVxrETI1hBbVWigdVoW2v4LUu4CJkxcPDw/UavV/Vlni4+P/sxoDYGNjg7Oz810f5cHWSk27giPTwWLryKRUkorv+n3H+93eB+C9ve/x/JbnxUDHSiCoZhA+zj5IFLxxkQo+MP5RwtfZl6CaQYrEJ5Sfo1FHCZofRFR6FI09GxMyJYS6bnWVDqtCy8nXceRGMgBBFl7vAiZOXqytrWndujXbt2+/6++3b99Op06dTHnpYjNuHYmiXdOTJIl3ur7D9/2+B+D7I98z+Z/J5OvyFY5MMCW1Sl04xFPi7pVX45+/6/cdapW63GMTys+uG7vosagHydnJtKvRjn2T91HDuYbSYVV4x8NvkavV4+VkQ10vR6XDKTWTbxu9+OKL/P7778ybN48LFy7wwgsvEBERwaxZs0x96WIxLqMdup5EvphzVC6eaf8Mi4cuRi2pWXx6McNXDic7P1vpsAQTGtZoGKtGrfrPzcrH2YdVo1YxrNEwhSITysM/F/8pHLDY078nOybsEJ2Vy4mx3iWwrkeF6Jtj8l7Lo0ePJikpiQ8++ICYmBiaNm3Kpk2b8PPzM/Wli6WxtzNuDtYkZ+ZxKjKFNrXclA6pUhjffDwuNi6MWjWK9ZfX039Jf9aNXYezTflsGQrlb1ijYTza4FGCI4KJSY/B28mboJpBYsWlgpt/cj7T109HL+sZ1mgYS4ctxUZjo3RYlcb+CnJE2kiSzbhaMi0tDRcXF1JTU8ul/uXppSfYcDqG53rW44Xe9U1+PeG2feH7GLRsEGm5abTybsWWx7bg6eCpdFiCIJSBbw5+w0vbXgJgasBU5gyaI+YUlaNbmXm0+mg7sgyH3+xJVWfTD7c09f3bss9KlTFR96KcLn5d2D1pN572npyIOUHQ/CAiUs2jC7MgCCUjyzL/2/W/wsTl5Y4v8/vg30XiUs4OXk9ClqGel2O5JC7lQSQvdzAup52MTCE9RxSPlrdW3q0ImRqCr7Mvl5IuETgvUAx0FAQLpZf1PLXpKT4O/hiAT3p8whe9v6gQ9RaWJqSCbRmBSF7u4lPFnlru9uj0MoeuJysdTqVU370++6fup6FHQyLTIgmcHygGOgqChcnT5fHY6sf45dgvSEj8MvAX3gh6QyQuCpBlubB7fGAF6O9iJJKXf+nWwAuAv4/fVDiSysvXxZd9k/fR2rs1iVmJdFvQjb1he5UOSxCEIsjKz2LI8iEsP7scjUrDsuHLmNXGvE6XViZHw24RkZyFnZWa9rUrzskukbz8y7j2NQHYfiGOmFRxbFcpng6e7Jq0i261upGel07fP/uy7tI6pcMSBOEBUnJS6LO4D5uvbsZOY8f6sesZ3XS00mFVaosOhgEwpGV1HG0qTq2RSF7+pX5VJzrUdkOnl1l6WBSMKsk40HFwg8Hk6nIZtmIYi08tVjosQRDuIS4jjm4LurE/cj+utq5sn7CdfnX7KR1WpRaflsOWs4YO9+M7mFd7ktISycs9TOhQC4BlRyLJ04qGdUqy1djy96i/mdhiIjpZx8R/JvL94e+VDksQhDsYByyeijtVOGCxc83OSodV6S07EolWL9ParwpNqrsoHU6ZEsnLPfRpUpWqzjYkZuSy+ayYcKs0jUrD/Efn81z75wB4bstzvLfnPTHQURDMwPmE83Se1/muAYvNqzZXOqxKL1+nZ+mRcAAmdqxYqy4gkpd7slKrGNvOUPuy+GC4wtEIYBjo+G3fb/mg2wcAvL/3fZ7b8pwY6CgICjoSdYSg+UFEp0fTxLOJGLBoRnacjyMuLRcPR2v6Na2mdDhlTiQv9zGuXU00Kolj4bc4H52mdDgChoGOb3d9mx/7/wjAD0d+YNI/k8RAR0FQwI7rO+ix0DBgsX2N9uybIgYsmpNFBW+8x7StiY2m4o3eEMnLfXg529K3IFtdfEisvpiTp9o9xZJhS9CoNPx5+k+GrRwmBjoKQjlafWE1A5cOJDM/k161e7Fj4g7c7MQ8OHNxJS6dg9eTUEkwtuAEbUUjkpcHmFhQnf3PyShSs8W7e3Myrtk4/hn9D7YaWzZc3kC/Jf1IzUlVOixBqPDmnZzHyL9GkqfLY3ij4WwYuwFHa0elwxLuYHzD3atRVWq42ikcjWmI5OUB2vm70aCqE9n5OtG0zgwNrD+QbeO34WzjzL7wfXRf2J34zHilwxKECuvrA18zbd009LKeaS2nsWLECjEZ2sxk5GpZfSIKgIkdaykbjAmJ5OUBJElifEGV9p+HwtHrxekWcxPkF8SeSXvwtPfkZOxJMdBREExAlmXe2vkWL29/GYBXOr3C3EFzUasqXi2FpVtzMoqMXC21PR3oXLfidNT9N5G8PMTQljVwtNFwPTGT/dfEtGlz1NK7JSFTQ6jpUpPLSZfpPK8zFxMvKh2WIFQIOr2OJzY+wSchnwDwWc/PxIBFMyXLMosLOupO6OBXob9HInl5CEcbDcNbGSroF4lj02brzoGON9NuEjQ/iGPRx5QOSxAsmnHA4pzjc5CQmPPIHF4LfE3psIT7OHwjmctxGdhZqRnWykfpcExKJC9FMKFg62jnhTiiUsSpFnPl4+xD8JRg2lRvQ2JWIt0XdmdP2B6lwxIEi5SVn8Wjyx9lxbkVWKmsWD5iOTNaz1A6LOEBjH3JhrSsgYudlcLRmJZIXoqgrpcTneq4o5cNtS+C+fKw92DXxF10r9WdjLwM+v3ZTwx0FIRiupV9i96Le7Pl6hbsrexZP3Y9o5qMUjos4QHi0nLYes4wx6gidtT9N5G8FJGxanvhgTBiU3OUDUZ4ICcbJzY9tolHGzxaONBx0alFSoclCBYhNiOWbgu7cSDyQOGAxb51+yodlvAQX2+7hFYv066WG428nZUOx+RE8lJEfRpXpVVNV7LydHyy6YLS4QgPYauxZdWoVUwOmIxO1jHpn0nMPjRb6bAEwazduHWDwHmBnI47TTXHauydvJdOvp2UDkt4iJMRt1h5zNDO47X+DRWOpnyI5KWIVCqJDx5tiiTBulPRHL6epHRIwkNoVBr+GPwHL3R4AYDntz7PO7vfEQMdBeEezsafpfO8zly7dQ1/V39CpogBi5ZAr5d5d905AIa38qG1XxWFIyofInkphqY1XAoHNr677hxanRgKaO5Ukoqv+3zNR90/AuDDfR/y7OZnxUBHQbjD4ZuH6TK/CzEZMTT1akrI1BDquNVROiyhCFYei+T0zVScbDS81r+B0uGUG5G8FNMrfRrgam/Fxdh0lhwWzdAsgSRJvNXlLX4a8BMSEj8e/ZGJayaKgY6CgGHAYs9FPbmVc4sOPh3YO3kv1Z2qKx2WUASpWfl8sfUSAM/1qoeXk63CEZUfkbwUUxUHa17qY8huv952icSMXIUjEorqybZPFg50XHJmCUNXDBUDHYVK7e/zfxcOWOxduzfbJ2wXAxYtyDfbL5GcmUc9L0cmdaqldDjlSiQvJTCuXU0aezuTlqPlyy2XlA5HKIaxzcaydsxabDW2bLyykb5/9hUDHYVK6Y8TfzBq1SjydHmMaDyC9WPXiwGLFuR8dFrhAMb3BzfBSl25bueV66stI2qVxAePNgFg5fFIQiNTlA1IKJYB9QawfcJ2XGxcCI4IptvCbsRlxCkdliCUmy/3f8n09dPRy3qmt5zO8uHLxYBFCyLLMu+tO4dehoHNvOlU10PpkMqdSF5KqE0tN4a1rIEsw7trz4qhjRYmsGYgeybvwcvBi9DYUILmBxGeIhoQChWbLMu8seMNXt3xKgCvdX6N3wb9JgYsWph1p6I5EpaMnZWaNwc2UjocRYjkpRRe798QRxsNp26msur4TaXDEYopoFoAIVNC8HPx40ryFQLnB3IhQfTwESom44DFz/Z/BhgGLH7W67MKPbyvIsrI1Rb2Gnuqex1quNopHJEyRPJSCl7Otjzfqx4An2+5SGq2OL1iaeq51yNkagiNPBqJgY5ChZWny2Pc6nGFAxZ/e+Q3MWDRQv2w6wpxabn4udszPai20uEoRiQvpTSpUy3qejmSlJnHt9svKx2OUAI+zj7sm7KPttXbkpSdRPeF3dl9Y7fSYQlCmcjMy2TwssGsPLcSK5UVK0as4PHWjysdllAC1xIymBdyA4B3BzXG1qrybveJ5KWUrNQq3htkKN5ddDCMCzFpCkcklISHvQc7J+6kh38PMvIy6L+kP/9c/EfpsAShVIwDFrde24q9lT0bxm1gZJORSocllICxSDdfJ9OjoRc9GlZVOiRFieSlDATW82BAs2roZUPnXdF+3jI52TixcdxGhjYcSq4ul+Erh7MgdIHSYQlCicSkx9B1QVcO3jxIFdsq7Jiwgz51+igdllBC287HEXwlEWu1inceaax0OIoTyUsZeWtgY2ytVBy5kcyyI5FKhyOUkK3GlpUjVzI5YDJ6Wc+UtVP47tB3SoclCMVy/dZ1AucHcib+TOGAxY6+HZUOSyih5Mw83i+YX/R4F39qeTgoHJHyRPJSRmq42vFCr/oAvLfuHCcibikckVBSxoGOL3Z4EYAXtr7A27veFitqgkU4G3+WwHmBXL91ndpVarN/6n6aVW2mdFhCCWl1ep5eeoLo1BxqudvzVPe6SodkFkTyUoZmdKlNvybVyNPpmbX4OPFpOUqHJJSQSlLxVZ+v+LjHxwB8FPwRT296Wgx0FMzaoZuH7h6wOCWE2lUq74mUiuCzzRc5cC0Je2s1cya0wd5ao3RIZkEkL2VIkiS+GtWCel6OxKfn8sSSE+Rpxc3OUkmSxJtBb/LzgJ+RkPj52M+MXz1eDHQUzNL2a9sLByx29OnIvsn78HbyVjosoRTWhkbxe8Hpoq9HtqBBNSeFIzIfInkpY442Gn6b2AYnWw3Hw2/x/vpzSocklNITbZ9g6fClaFQalp1dxpAVQ8jKz1I6LEEotOr8KgYuHUhWfhZ96vRh+4TtVLGronRYQimci07ltb9PA4ZmdP2biUT0TiJ5MQF/Dwe+H9MSSYIlhyNYfiRC6ZCEUhrTdAzrxqzDTmPHpiub6PtnX1JyUpQOSxD4/cTvjF41mnx9PqOajGL92PU4WIuCTkuWnJnHjEXHycnX062BJy/2bqB0SGZHJC8m0r2hFy/1NhTwvrNWFPBWBP3r9S8c6BgSEUL3hd3FQEdBUV/s/4LH1z+OXtYzo9UMlg5birXaWumwhFIwFuhGpWTj527P7NEtUavECId/E8mLCT3Vva4o4K1gOtfszN7Je6nqUJXQ2FAC5wcSlhKmdFhCJSPLMq/veJ3Xdhha/L/e+XV+feRXMWCxArizQPe3CW1wsbdSOiSzJJIXExIFvBVTi2otCJkaQi3XWlxNvkrgvEDOJ5xXOiyhktDpdczcMJPP938OwBe9vuDTXp+KAYsVgCjQLTqRvJjYvwt43xMFvBVCXbe6hEwJobFnY6LSowiaH8SRqCNKhyVUcLnaXMb+PZa5J+aiklTMHTSXVzq/onRYQhk4G5XKq6tEgW5RieSlHNxZwLv0cATLRAFvhVDDuQb7Ju+jXY12JGcn03NRT3bd2KV0WEIFlZmXyeDlg/nr/F9Yq61ZOWIl01tNVzosoQwkZ+Yxc/FxcrWiQLeoRPJSTu4s4H1XFPBWGO727uycuJOe/j3FQEfBZJKzk+m9uDfbrm3DwcqBDWM3MLzxcKXDEsqAKNAtGZG8lCNRwFsxOVo7snHcRoY1GkaeLo/hK4cz/+R8pcMSKoj/DFicuIPedXorHZZQRkSBbsmI5KUciQLeistGY8OKESuYGjAVvaxn6rqpfHPwG6XDEizcteRrdJ7XmbPxZ/F29GbflH108OmgdFhCGREFuiUnkpdy9u8C3ieXnCAnX6d0WEIZ0Kg0/D74d17u+DIAL217if/t+p8Y6CiUyJm4MwTOD+RGyg3qVKnD/qn7aerVVOmwhDKy7Vwsr/wlCnRLSiQvCvD3cODnx1phrVGx40Ic0xceIytPq3RYQhmQJIkven/Bpz0/BeDj4I95cuOT6PQiQRWK7kDkAbos6EJsRizNqzYnZGoI/lX8lQ5LKCNrQ6MMK+86Pf2bVhMFuiUgkheFBNXzZMGUtthbqwm5msjEP46QliMG/lUEkiTxeuDr/DrwVyQkfj3+K+PXjCdPl6d0aIIF2Hp1K70X9yYlJ4VOvp3YM2kP1RyrKR2WUEaWH4ng+RWh6PQyw1rW4IexokC3JETyoqBOdTxYPK09TrYajoXfYtzcQyRnihtcRTGzzUyWDV+GRqVh+dnlDFkuBjoKD/bXub8YtGwQWflZ9K3Tl23jt4kBixXIHyE3eH31GWQZHmtfk69GtkCjFrfhkhD/1RTW2q8Ky2d0wN3BmrNRaYyec1CcQqpARjcdzfqx67HT2LH56mb6LO4jBjoK9zT3+NzCAYujm4xm3dh1YsBiBSHLMt/vvMKHGwyduGd2qc1HQ5qiEisuJSaSFzPQpLoLK2Z2pKqzDVfiMxg55yA3b4l36BVFv7r92D5hO662ruyP3E+3Bd2IzYhVOizBjHwe8jkzNsxARmZm65ksGbZEDFisIGRZ5rPNF/lm+2UAXuxdn9f7NxTjHEpJJC9moq6XI3/N7ISvmx3hSVmM/PUg1xMylA5LKCN3DnQ8FXeKwHmB3Lh1Q+mwBIXJssyr21/l9Z2vA/Bm4Jv8MvAXMWCxgtDrZd5ee5Y5+64D8L+BjXi2Zz2RuJQBkbyYkZru9vw1sxN1PB2ISc1h1JyDXIhJUzosoYwYT43Ucq3FtVvXCJwfyLl4MeuqstLpdTy+/nG+PPAlAF/2/pKPe34sbmwVhFan5+W/TvHnoQgkCT4d1ozpQbWVDqvCEMmLmanmYsuKmR1p7O1MYkYeY347RGhkitJhCWXEONCxiWcTotOj6bKgixjoWAnlanMZ8/cY/jj5BypJxe+DfuflTi8rHZZQRvK0ep5ZdpLVJ6NQqyS+Gx3A2HY1lQ6rQhHJixnycLRh2YwOtKzpSmp2Po/NPcSh60lKhyWUkRrONdg3ZR/ta7QnOTuZHgt7sOP6DqXDEspJRl4Gg5YNYtX5VVirrflr5F9MazVN6bCEMpKdp+PxRcfYfDYWa7WKXx5rxaMBNZQOq8IRyYuZcrGz4s9p7elY253MPB2T5h1hz6V4pcMSyoibnRs7Ju6gV+1eZOZnMnDpQFZfWK10WIKJJWcn02tRL7Zf346DlUPhTCyhYsjI1TJ5/hH2Xk7AzkrNH5Pb0KeJ6NFjCiJ5MWMONhrmT2lLj4Ze5Gr1hmz+TIzSYQllxNHa0TAduNFw8nR5jPxrJPNOzlM6LMFEotOj6TK/C4ejDuNm58bOiTvpVbuX0mEJZSQlK4/Hfj/M4RvJONloWDStHUH1PJUOq8ISyYuZs7VS8+v41gxs5k2+TuappSf4+/hNpcMSyohxoOO0ltPQy3qmrZvG1we+VjosoYwZByyeSzhHdafq7Ju8j/Y+7ZUOSygj8ek5jPntEKciU6hib8XSxzvQtpab0mFVaCJ5sQDWGhXfj23JyNY+6GV46a9TvLv2rBjoWEGoVWrmDprLK51eAeDl7S/z1s63xEDHCuJ03GkC5wcSlhJGnSp1DAXbXk2UDksoI/uvJjLw+xAuxqbj6WTDipkdaebjonRYFZ5IXiyEWiXx+fDmzOpaB4CFB8MZ+vMBrsaLXjAVgXGg42c9PwPgk5BPeGLjE2Kgo4U7EHmArgu6igGLFVC+Ts8XWy4y/o/DJKTnFvTq6kj9qk5Kh1YpSLIZv71LS0vDxcWF1NRUnJ2dlQ7HbOy+FM/LK0+RlJmHnZWa9wc3YWQbH9EfooL47fhvzNowCxmZ0U1Gs2joItFt1QJtubqFYSuGka3NprNvZzaM24CrravSYQllIDI5i2eXn+RkRAoAY9v58s4jTbCzFs0FjUx9/xbJi4WKT8vhhZWh7L9qOEI9qEV1Ph7aFGdbK4UjE8rCynMrGb96PPn6fPrV7ceqkavEnBsLsuLsCiasmUC+Pp/+dfuzatQq7K3slQ5LKAMbT8fw+urTpOdocbLV8Nmw5gxs7q10WGZHJC8iebkvvV7m133X+HrbZXR6GV83O34Y24oAX1elQxPKwNarWxm2chhZ+Vl08u3EhrEbxIRhCzDn2Bye2PgEMjJjmo5h4ZCFYuWsAsjO0/HBhvMsOxIBQMuarnw/piW+biIpvReRvIjk5aFORNzi2WUnuXkrG41K4uW+DZgRVFtMLK0ADkYeZMDSAaTkpNDMqxnbJmyjmqPoG2GOZFnms5DPeHPXmwDMaj2LHwf8KOYUVQCXYtN5eukJrsRnIEnwRNc6vNC7PlZqUTZ6PyJ5EclLkaRm5/Pm6jNsLOgDE1TPg69HtcDLyVbhyITSOh13mr5/9iU2I5Y6VeqwfcJ2UfRpZowDFr86+BUAbwW9xYfdPxR1aBZOlmWWHI7gww3nydXq8XSy4bvRAXSu66F0aGZPJC8ieSkyWZZZfjSS99efIydfj4ejNd+MCqBLfdEoydJdS75G78W9uZFyA29Hb7ZN2EZTr6ZKhyUAWr2WmetnMi/U0GDw6z5f82LHFxWOSiit1Kx8Xvv7NFvOxQLQrYEnX41sgYejjcKRWQaRvIjkpdiuxKXz9NKTXIpLB2Bml9q81KcB1hqxxGnJotOj6ftnX87Gn6WKbRU2PbaJDj4dlA6rUsvV5jJu9ThWX1hdOGBxSsspSocllNLRsGSeW3aS6NQcrNQSr/VryNTO/mIrvhhE8iKSlxLJydfx8cYLLD4UDkALHxd+GNuKmu6iuMySJWcnM3DpQA7dPISDlQNrRq+hd53eSodVKaXnpjN0xVB23tiJtdqa5cOXM7TRUKXDEkpBp5f5efdVvt1xGb0Mtdzt+X5sS5r7uCodmsURyYtIXkply9lYXl11irQcLY42Gj4e2lRMOLVwmXmZDF0xlO3Xt2OlsmLZ8GUMbzxc6bAqlaSsJAYsHcCRqCM4WDmwdsxaetbuqXRYQinEpubw/IqTHLqeDMDQljX4cEhTHG00CkdmmUx9/zbZPkJYWBjTpk3D398fOzs76tSpw7vvvkteXp6pLincQ7+m1dj8fBfa1qpCRq6W55aH8spfp0jLyVc6NKGEHKwdWD92PSMajyBfn8+oVaP448QfSodVaUSlRdFlQReORB3Bzc6NXZN2icTFgsmyzLZzsfSfvY9D15Oxt1bz9cgWfDs6QCQuZsxkycvFixfR6/XMmTOHc+fO8e233/Lrr7/y5ptvmuqSwn3UcLVj2eMdeLZnPSQJ/jp+k25f7mHxoXC0Or3S4QklYKOxYfnw5UxvOR29rGf6+ul8uf9LpcOq8K4mXyVwfiDnE85Tw6kGwVOCaVejndJhCSV0MTaNifOOMGPxcW5l5dOkujMbnglkeGsfpUMTHqJct42+/PJLfvnlF65fv16kx4tto7J36HoSb605w7WETADqeTny5sBGdG/gpXBkQknIsswbO9/g8/2fA/9v777DorryPoB/Z2CG3tuAdFRQMEbBCHajUiIxxljQBEsS16yaXWOy6mPiq9ndJMR3o9kUY4oLq2jUBPQ1i0FwbVHUAKJR7HSFCVX69PP+AUwYyiiGqfw+z8MjzJw7nLkc537vOefeA2wYvwHvT3ufLtHVgCvCK4hKjsKvzb9isONgZMZnwtfeV9fVIo+hqlGMbZm3cSC7FAoG8E24eHmCH96YMQRmpnRfnv6g6eO3VvvE6uvr4ejY+zLhYrEYYrFY+XNDQ4M2qjWghPs7IX3NJHz7cym2Z97GncomLEvMxqShLnj7mWEIFNCiYoaEw+EgYXoCHC0csf74eiScS0Btay12zNxBN0frR+dKz2HmvpmoF9fjScGTSH8xHW7WbrquFukjkVSOXWeLsOPkXTRL2hY9fWaEAOujg+DjRMtvGBKt9bwUFBRg9OjR+Oijj/Dqq6/2WGbLli149913uz1OPS+aUd8qxecn7yLxXBGkcgYuB4h7yhtvTB8KFxu6l4Gh+Tr3a6z4zwowMMwbPg/Jc5LptvT94Mc7P+KFgy+gVdaKCd4T8MPCH2iBRQPDGMORK+XYmn4L9x+0Ami7AvOd2OEY49v7CTV5fHp3tVFvAaOz7OxshIWFKX8uLy/H5MmTMXnyZHzzzTe9btdTz4uXlxeFFw0rqWnGh+k3cfRq282YrM1MsXJqAF4e7wdzHp29G5Lv8r/Di6kvQqqQIiogCinzU2hBx99h/7X9iD8UD5lCRgssGqjcklr87T83cLnsAQDA3c4c66ODMGukB923RYP0LrxUV1ejurpabRlfX1+Ym7fdlr68vBxTp07F2LFjkZSUBC730ecI05wX7coursXf/nMdv9yrB9A20XdddCBmjfSgORQGJKMgA88feB4t0hZEeEYgbVEaLej4GHbm7MTKtJVgYFgYshBJs5OoJ8uAlNW2ICH9JtJ+aVsyxZJvgpVTAvDKBH9Y8OmkTNP0Lrz0xf379zF16lSEhoYiOTkZJiZ9azAUXrRPoWjrXv0w/SYq6kUAgCe97LEpdhhCfah71VCcLzuPmftmok5UhxGuI3DspWNwt3HXdbUMAmMMH5z9AG+feBsAsDJsJT595lNwOXSHakPQIGofDj9bDIlcAQ4HWBDmhbWRQ2mtNy0y2PDSMVTk7e2N3bt3qwQXgeDRVsWl8KI7rRI5dp0txI5TBWhpn9g28wl3bIgOoiXgDcS1ymuI3BOJiqYK+Dv4IzM+E/4O/rqull5jjOGtjLew7cI2AMA7E9/BX6f+lXoeDYBMrmi7EOH4HdQ2t91PbMJgZ2x8ZhiGe9DxQ9sMNrwkJSVh2bKe1/h41F9J4UX3KhtEbZcU5pSBtV9SuGyCL1ZNHQxbc56uq0ceorCuEDP2zEBhXSHcrd1x7KVjGOE2QtfV0ksyhQx/+OEPSLycCADYFrkNb0S8oeNakYdhjOHUrSq8d/QG7lY2AQACXKzwzszhmBLoQsFTRww2vPQHCi/643p5A947eh3n7tYAAByt+HhjxlAsHOMFUxPqTtdnFY0ViEyOpAUd1RDJRFiUsgiHbh4Cl8PFrlm7sPTJpbquFnmIm8IGvJd2Az/daZuH6WDJw9oZQxH3lDd49LmkUxReKLzoDcYYTt6qxN/TbqCw003u/jRtCKJDBPRhocfqWuswc99MnL93HpY8SxxecJgWdGzXKG7E7AOzcaLoBPgmfByYewCzg2brulpEjbuVTfj6TCG+yy1T3mRu2XhfrJw6GHYW1COsDyi8UHjRO1K5AvsuluLj47dR19K2RpKbrRniw32w8ClvOFnTPWL0UbOkGXMOzkFGQQZ4XB72vbAPc4fP1XW1dKqmpQYxe2OQXZ4Na741/i/u//C039O6rhbpgULBcOp2JRLPFSt7WgC6yZy+ovBC4UVv1bdKkXiuCMkXSlHd1HZ/Hr4JF8+O9MDScb4Y4Wmn4xqSriRyCeIPxeNg/kFwOVzsnLkTy0OX67paOnGv4R4i90TiRvUNOFk44ccXf8SYQWN0XS3SRYNIiu9y7mH3+WKU1LQAADgcYPowN6yY5I8wusmcXqLwQuFF70lkChy9WoGkrGLljaAAINTHAUvH+dKQkp6RK+RYmbYSX136CgCQMC0B6yes13GttOtOzR3M2DMDJfUlGGQzCJnxmRjmMkzX1SKd3K1swu7zxfg+957yikdbc1PEPeWN+HAfuupRz1F4ofBiUPJK6/DvrGKkXa2AVN7WtGhISf8wxrDxvxuRcC4BALBu3DokTE8YEFdmXBZeRlRyFCqbKzHEcQgy4zPhY++j62oR9D40NNTNGkvG+eL5UYNgydfqknzkMVF4ofBikCobRdh3sVR1SMmUi2ef8MCy8b4IGURDSvrgf8/9L9YdXwcAWD56Ob6Y+YVRL+h4tvQsYvfF0gKLeqZBJMX37UNDxV2GhpaN80VEgNOACNbGhMILhReD1jGklJhVjCudhpTCfBywdLwvooJpSEnXvrn0DVb8ZwUUTIF5w+dhz/N7YGZqfD1kR+8cxdyDc9Eqa8VE74n4YeEPsDOnEK1LHUNDKbn3lKs809CQcaDwQuHFaPQ0pCSwNcdL4d40pKRjKddTsCh1ESRyCWb4z0DqglRY8611Xa1+8+3Vb7H48GLIFDLMHDITB+cdpAUWdUShYDh9uwqJWcU4c7tK+fgQV2ssHU9DQ8aCwguFF6NT2SDC3oul2HtRdUhpVvtVSjSkpBvHC49j9v7ZaJY2I9wzHGmL0uBoYfhXcuzI3oHVR1eDgWHRiEVIei4JPBO6F4i2qRsaWjrOF+NoaMioUHih8GK0xDI5frwqROK5IlxpX8kaoCElXbp47yJi9sagTlSHENcQZLyUYbALOjLG8N5P72HTyU0AgFVjVuGTmE9ogUUtK6hqwu6stquGOoaGbMxNETfGC/HhvvB2oh4wY0ThhcLLgJBXWoekrGIc7TSkZG/Jw/RhbogOFmDCEGeY84x3Iqk+6bygo5+9HzLjMxHgGKDravWJginwVsZb2H5hOwBg06RNeHfKu3RmryV3KxuRfk2I9Hwhrt1vUD5OQ0MDB4UXCi8DSk9DSgBgyTfB1CBXRAULMDXQBTa0KKRGFdUVYcaeGSioK4DAWoCMlzIMZkFHmUKG5T8sR9LlJADA9qjtWBO+Rqd1MnaMMVy734D0/AqkXxOioH35EADgcoCng1yxbLwfDQ0NIBReKLwMSDK5AjkldUi/JsSxfCEq6kXK5/gmXEwY4ozoYAGmD3eDoxVfhzU1XsImIaKSo/DLr7/A3tweaYvSMM5rnK6rpZZIJsLClIU4fPMwTDgm+Ndz/8LikYt1XS2jJFcw5BTXIj1fiIz8X3H/QavyOb4JF+MHOyE6RIDpw9xoMv4AROGFwsuAxxjDL/fqkZ4vxLFrQhRWq57VjfVr+5CMDHaDu52FDmtqfOpa6xD7bSyyyrJgybNE6vxURA2O0nW1etQobsRz+5/DyeKTMDMxw8F5BzErcJauq2VUJDIFsgqqcaw9sNQ0S5TPWfJNMDXQFZHBbpga5Apb6h0d0Ci8UHghnTDGcLeySTmenl/eoPL8SC97RAcLEB0igJ8zLdTWH5olzZj73Vyk300Hj8tD8pxkzA+er+tqqahuqUbM3hjklOfAmm+NI3FHMNVvqq6rZRRaJDKcuV2F9GtC/PdGJRrFMuVzdhbt89JCBJhI89JIJxReKLwQNcpqW3AsX4j0a0Lkltahc2sOdLNBVIgA0cECDHO3obH230Eil2DxocU4kH8AHHCwM3Yn/hD6B11XC0DbAosz9szAzeqbcLJwQvpL6QjzCNN1tQxafYsU/735K9KvCXHmThVEUoXyORcbM0QFuyE62B1j/R3pikDSIwovFF7II6psECHj+q84li/E+YIayBS/NW1vR0tEhwgQFSzAKC97cLkUZPpKrpBj1dFV+DL3SwD6saDj7ZrbmLFnBkrrS+Fp64mMlzJogcXHVNkoQub1tsDS9f+Pl6OFskdzlJcD/f8hD0XhhcILeQydzxxP366CWPbbmaOrjRki6czxsTDG8M6Jd/D+2fcBAH8Z9xd8OP1DnfRq5VXkISo5ClUtVRjqNBSZ8ZnwtvPWej0MWUfP5bF8IXJKeu65jAp2w3B3W+q5JH1C4YXCC/mdWiQynL5VhfR8IU50GbO3NjPFKG97hPo4IMzHEU9628PajO4/8TAfZX2EtzLfAgC8MuoVfBn7pVYXdPyp5CfEfhuLBnEDRglGIf2ldLhauWrt9xsihYKhoKoJOSV1yCmuw6XSOhR1mvwO/DZnLCrYDf4uxrM8BNE+Ci8UXkg/EsvkyCqowbFrQmRc/xW1na6WANquXgoS2CLM1wGhPm1fg+wt6KyzB//K+xeW/7AcCqbAC8NewN45e7WyoGPa7TTM/W4uRDIRJvlMwpG4I7TAYg9aJXJcLnuA3JJa5JbU4VLpA9S3SlXKcDnAU36OiA4WIDJYAA97ulqP9A8KLxReiIbIFQw3hQ24VFKnPBvtfK+KDgJbc2WQCfVxwHAPWxpqapd6IxULUxZCIpdguv90HFpwSKMLOu67ug9LDi+BTCFD7NBYHJx7EBY8OuACgLBehJz2oJJbUofr5Q0q81YAwJzHxZNe9gjzcUSojwNGezvAzpIuaSb9j8ILhReiRcJ6EXJL6pBTUotLJXXI7+EAYMEzwUgvO+VQ00A/AHRe0HHsoLE4+uJRjSzo+PnPn+P1H18HA8OLI15E4nOJA3aBxY7gndseunNL1ARvXweEejsgzNcBw9wpeBPtoPBC4YXoUEfX+6XSOuQUt53VNohk3coNcbVGmG/bmWyYryN8nSwH1FDTxXsX8cy+Z1DbWotgl2BkxGfAw8ajX16bMYa/n/k7/ufU/wAAXn/qdXwc/fGAWmCxUSRFXukDZa9KXmmdcpHDDjTkSfQJhRcKL0SPdJ702HEg6TrpEQCcrPgY7eOAMJ+2M96QQXYwMzXuG3jlV+YjMjkS5Y3l8LX3RWZ8JgY7Dv5dr6lgCqw9thb/vPhPAMDmyZuxefJmoz4gM8Zwr65V2QOYW/IAt4QN6NIBSJPNiV6j8ELhhei56iYxLrUHmZySOly9Vw+JXKFShm/CxQjPtqGmYe428He2hr+LldEtMFn8oBjTd09HQV0B3KzckBGfgSfcnnis15IpZHjlyCvYfWU3AODjqI/x5/A/92d1dU4mV+BeXSsKq5twt7IJl8seIKe4DpWN4m5lPR0sEObjgFBfR4R6OyBQYAMTut8K0VMUXii8EAMjlslx7X69ci5CbkmdyhownbnYmMHf2Qr+LtYIcLGCv4sV/J2t4elgAVMDnZvQHws6imQiLPh+AY7cOmIUCyzWNUtQWN2EgqpmFFY1o7CqCYXVzSipaYZU3v0j2JTLQfAgu7aw0v7lZmuug5oT8ngovFB4IQaOMYaSmhbklLTdW+NuZRMKq5pR3dT97LoDz4QDb0dL+Lu09dAEtPfU+LtYG8Qq2g9EDxC7Lxbnys7BwtQCqQtSET04+pG2bRA3YPb+2Qa3wKJYJkdpTUtbQKluUoaUoupm1LVIe93OzJQLP2cr+DlbIaQ9sDzhaQ8LvnEPMxLjRuGFwgsxUvWtUhRVt5+FdzrgFVU3q9wRuCt7S56yt6ajpybAxQreTpZ6Na+mRdqCuQfn4se7P4LH5WHP83uwIGSB2m2qmqsQszcGuRW5sOHb4MjCI5jiO0U7FX4EjDFUNYq7BZTC6maU1bZ0m5fSmbudufLv1RFE/Z2tMMjegm63T4wOhRcKL2SAUSgYyutbVQ6MHd+X14t63Y7LATwdLLscIK0Q4GINVxsznUxylcglWHJ4CfZf2w8OOPhi5hdYEbYCEpkEO3J2oKC2AAGOAVgZthK/Nv+KyORI3Ky+CWdLZ6S/mI5Qj1Ct1xlou8rst3CiGiybxN2vNutgxTdRCZUdfwM/ZytY8mkyLRk4KLxQeCFEqUUia++taf6t16b9Z3UHVWszU/g5tx1IBbbmcLLmw8nKDE7WfDhbt/3raMXXSM+NXCHH6qOrsTN3JwBgotdEZN3Lgpz9dqkvl8OFJc8STZImeNl6ISM+A0HOQf1eF4WCob5VippmMWqaJKhplqCmSYzqJgmqm8QoqWl5pJDo5WjZtj/1JCQSom8ovFB4IeShehvOKKpuRulDhjM6szE3hZMVH07WZsp/na353R5zsubDwZL/yFe7MMaw6eQmvPfTe2rL2Zvb48prVx55gUXGGFokctQ0SVDdEUiaxO2hRKIMKdXtj9U2SyB/xJ1hKMNzhOgjCi8UXgj5XSQyBUprm1HQ3ltT1Sju8QDf9U7CD8PhAI6WfJVenM7hxsmqPfi0/2xmooDF+xZg6P33cDlc1K9rRqOYqfSMqAsnImnv84N6Y2tuquxxcrIyg6M1H85WfHg6WioDiyFMjCZEX1F4ofBCiMYxxtDQKlMJCNWdgkNt82+9FzVNYrVXz/TGhKuAWFELOecBFJx6WCja5rNIOWWQcxpgwuxhwuzARd/XRjIz5cLZulNY6txrZM2Ho1XbY87WZnC04oNvapiXoRNiKDR9/KYZZIQQcDgc2FnyYGfJQ4DLw8vL5ArUtrT3fnTqvfltmKbTY01iNEvkkCu4MIUzTJkzOne+8JgXeF1OoUy4HDhZtc3D6dxD0jZHR3W+jqMVH5Z8E5prQsgAQuGFENJnpiZcuNqYw9Xm0W6cJpLKsfWnL/De6X+C297DYi9dDFM4od70e0i4dyDHA8g59fjbtL9g3YTX6fJhQkivaNiIEKIVEpkElu9bqlxl1JUJxwQtG1vAN6X5JoQYMk0fv2nglxCiFXxTPtZGrFVbZm3EWgouhJCHomEjQojWbJ2xFQCw7fw2lR4YE44J1kasVT5PCCHq0LARIUTrerrDLvW4EGI86GojQojR4ZvysSZ8ja6rQQgxUDTnhRBCCCEGhcILIYQQQgwKhRdCCCGEGBQKL4QQQggxKBReCCGEEGJQKLwQQgghxKBQeCGEEEKIQaHwQgghhBCDQuGFEEIIIQZFr++w27FyQUNDg45rQgghhJBH1XHc1tQKRHodXhobGwEAXl5eOq4JIYQQQvqqsbERdnZ2/f66er0wo0KhQHl5OWxsbMDhcB7rNRoaGuDl5YWysjJa3BG0P7qi/aGK9ocq2h+qaH+oov3RXcc+KS0tBYfDgYeHB7jc/p+hotc9L1wuF56env3yWra2ttS4OqH9oYr2hyraH6pof6ii/aGK9kd3dnZ2Gt0nNGGXEEIIIQaFwgshhBBCDIrRhxczMzNs3rwZZmZmuq6KXqD9oYr2hyraH6pof6ii/aGK9kd32tonej1hlxBCCCGkK6PveSGEEEKIcaHwQgghhBCDQuGFEEIIIQaFwgshhBBCDIpRhZfi4mK88sor8PPzg4WFBQICArB582ZIJBK12y1duhQcDkflKzw8XEu17l87duyAn58fzM3NERoaip9++klt+dOnTyM0NBTm5ubw9/fHzp07tVRTzfvggw8wZswY2NjYwNXVFbNnz8atW7fUbnPq1KlubYHD4eDmzZtaqrXmbNmypdv7EggEarcx5vbh6+vb49961apVPZY3trZx5swZPPvss/Dw8ACHw8Hhw4dVnmeMYcuWLfDw8ICFhQWmTJmC/Pz8h75uSkoKhg8fDjMzMwwfPhyHDh3S0DvoX+r2h1Qqxfr16zFixAhYWVnBw8MDixcvRnl5udrXTEpK6rHNiEQiDb+b/vGwNvK4x87+aCNGFV5u3rwJhUKBL7/8Evn5+di+fTt27tyJjRs3PnTb6OhoVFRUKL+OHj2qhRr3rwMHDmDNmjV4++23kZeXh4kTJyImJgalpaU9li8qKsIzzzyDiRMnIi8vDxs3bsSf/vQnpKSkaLnmmnH69GmsWrUKFy5cQGZmJmQyGSIjI9Hc3PzQbW/duqXSHoYMGaKFGmtecHCwyvu6evVqr2WNvX1kZ2er7IvMzEwAwLx589RuZyxto7m5GSNHjsRnn33W4/Nbt27Ftm3b8NlnnyE7OxsCgQAzZsxQrjnXk/Pnz2PBggWIj4/HlStXEB8fj/nz5+PixYuaehv9Rt3+aGlpwaVLl7Bp0yZcunQJqampuH37NmbNmvXQ17W1tVVpLxUVFTA3N9fEW+h3D2sjQN+Pnf3WRpiR27p1K/Pz81NbZsmSJey5557TToU06KmnnmKvvfaaymNBQUFsw4YNPZZft24dCwoKUnlsxYoVLDw8XGN11KXKykoGgJ0+fbrXMidPnmQAWF1dnfYqpiWbN29mI0eOfOTyA619/PnPf2YBAQFMoVD0+Lwxtw0A7NChQ8qfFQoFEwgELCEhQfmYSCRidnZ2bOfOnb2+zvz581l0dLTKY1FRUSwuLq7f66xJXfdHT37++WcGgJWUlPRaJjExkdnZ2fVv5XSkp33yOMfO/mojRtXz0pP6+no4Ojo+tNypU6fg6uqKoUOHYvny5aisrNRC7fqPRCJBbm4uIiMjVR6PjIxEVlZWj9ucP3++W/moqCjk5ORAKpVqrK66Ul9fDwCP1B5GjRoFd3d3TJs2DSdPntR01bTmzp078PDwgJ+fH+Li4lBYWNhr2YHUPiQSCZKTk/Hyyy8/dBFYY20bnRUVFUEoFKr8/c3MzDB58uReP0+A3tuMum0MVX19PTgcDuzt7dWWa2pqgo+PDzw9PREbG4u8vDztVFBL+nrs7K82YtThpaCgAJ9++ilee+01teViYmKwd+9enDhxAh999BGys7Px9NNPQywWa6mmv191dTXkcjnc3NxUHndzc4NQKOxxG6FQ2GN5mUyG6upqjdVVFxhjWLt2LSZMmICQkJBey7m7u+Orr75CSkoKUlNTERgYiGnTpuHMmTNarK1mjB07Frt378axY8fw9ddfQygUYty4caipqemx/EBqH4cPH8aDBw+wdOnSXssYc9voquMzoy+fJx3b9XUbQyQSibBhwwYsWrRI7eKDQUFBSEpKwpEjR/Dtt9/C3Nwc48ePx507d7RYW815nGNnf7URvV5VusOWLVvw7rvvqi2TnZ2NsLAw5c/l5eWIjo7GvHnz8Oqrr6rddsGCBcrvQ0JCEBYWBh8fH6SlpWHOnDm/r/Ja1vWskTGm9kyyp/I9PW7oVq9ejV9++QVnz55VWy4wMBCBgYHKnyMiIlBWVoZ//OMfmDRpkqarqVExMTHK70eMGIGIiAgEBATg3//+N9auXdvjNgOlfezatQsxMTHw8PDotYwxt43e9PXz5HG3MSRSqRRxcXFQKBTYsWOH2rLh4eEqE1jHjx+P0aNH49NPP8Unn3yi6apq3OMeO/ujjRhEeFm9ejXi4uLUlvH19VV+X15ejqlTpyIiIgJfffVVn3+fu7s7fHx8DCodOzs7w8TEpFt6rays7JZyOwgEgh7Lm5qawsnJSWN11bbXX38dR44cwZkzZ+Dp6dnn7cPDw5GcnKyBmumWlZUVRowY0Ws7Hyjto6SkBMePH0dqamqftzXWttFxFZpQKIS7u7vycXWfJx3b9eUzyNBIpVLMnz8fRUVFOHHihNpel55wuVyMGTPGoI4tffEox87+aiMGMWzk7OyMoKAgtV8ds7fv37+PKVOmYPTo0UhMTASX2/e3WFNTg7KyMpX/tPqOz+cjNDRUecVEh8zMTIwbN67HbSIiIrqVz8jIQFhYGHg8nsbqqi2MMaxevRqpqak4ceIE/Pz8Hut18vLyDKotPCqxWIwbN270+t6MvX10SExMhKurK2bOnNnnbY21bfj5+UEgEKj8/SUSCU6fPt3r5wnQe5tRt42h6Agud+7cwfHjxx8rwDPGcPnyZaNsM8CjHTv7rY30aXqvnrt//z4bPHgwe/rpp9m9e/dYRUWF8quzwMBAlpqayhhjrLGxkb355pssKyuLFRUVsZMnT7KIiAg2aNAg1tDQoIu38dj279/PeDwe27VrF7t+/Tpbs2YNs7KyYsXFxYwxxjZs2MDi4+OV5QsLC5mlpSV744032PXr19muXbsYj8dj33//va7eQr/64x//yOzs7NipU6dU2kJLS4uyTNd9sn37dnbo0CF2+/Ztdu3aNbZhwwYGgKWkpOjiLfSrN998k506dYoVFhayCxcusNjYWGZjYzNg2wdjjMnlcubt7c3Wr1/f7TljbxuNjY0sLy+P5eXlMQBs27ZtLC8vT3n1TEJCArOzs2Opqans6tWrbOHChczd3V3lczE+Pl7lasZz584xExMTlpCQwG7cuMESEhKYqakpu3DhgtbfX1+p2x9SqZTNmjWLeXp6ssuXL6t8nojFYuVrdN0fW7ZsYenp6aygoIDl5eWxZcuWMVNTU3bx4kVdvMU+U7dPHvXYqak2YlThJTExkQHo8aszACwxMZExxlhLSwuLjIxkLi4ujMfjMW9vb7ZkyRJWWlqqg3fw+33++efMx8eH8fl8Nnr0aJXLgpcsWcImT56sUv7UqVNs1KhRjM/nM19fX/bFF19oucaa01tb6PjbM9Z9n3z44YcsICCAmZubMwcHBzZhwgSWlpam/cprwIIFC5i7uzvj8XjMw8ODzZkzh+Xn5yufH2jtgzHGjh07xgCwW7dudXvO2NtGx6XfXb+WLFnCGGu7XHrz5s1MIBAwMzMzNmnSJHb16lWV15g8ebKyfIfvvvuOBQYGMh6Px4KCggwm3KnbH0VFRb1+npw8eVL5Gl33x5o1a5i3tzfj8/nMxcWFRUZGsqysLO2/ucekbp886rFTU22Ew1j7DDxCCCGEEANgEHNeCCGEEEI6UHghhBBCiEGh8EIIIYQQg0LhhRBCCCEGhcILIYQQQgwKhRdCCCGEGBQKL4QQQggxKBReCCGEEGJQKLwQQgghxKBQeCGEEEKIQaHwQgghhBCDQuGFEEIIIQbl/wH0xKvO9AaWBgAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 'uniform' parametrization\n",
"u1 = np.arange(n) / n\n",
"\n",
"tck1, u1 = splprep([x, y], u=u1, s=0) # different `u`\n",
"\n",
"plt.plot(x, y, '-og')\n",
"\n",
"uu = np.linspace(u1[0], u1[-1], 101)\n",
"plt.plot(*splev(uu, tck1))"
]
},
{
"cell_type": "markdown",
"id": "10305155-5804-4bff-8251-ab6599711fc9",
"metadata": {},
"source": [
"# Replicate the original with the functional `FITPACK` interface\n",
"\n",
"The functional interface manipulates the `tck` tuples directly (`tck` is knots, coefficients, degree). \n",
"\n",
"`splrep` is equivalent to the `UnivariateSpline`. `splrep(x, y, k, s=0)` is `InterpolatedUnivariateSpline` etc.\n",
"\n",
"Evaluation is `splev(x, tck)`.\n",
"\n",
"The functional interface is no more deprecated or outdated than the OOP one."
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "a68c0985-664e-4bb3-8258-cf962d552bf4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb1863a3be0>]"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# find knot vector \n",
"\n",
"# was:\n",
"#knots = si.InterpolatedUnivariateSpline(knotspace,knotspace,k=k).get_knots()\n",
"#knots_full = np.concatenate(([knots[0]]*k, knots, [knots[-1]]*k))\n",
"\n",
"t, c, k = splrep(list(knotspace), list(knotspace), k=k, s=0)\n",
"assert all(t == knots_full)\n",
"\n",
"# define tuples of knot vector, coefficient vector (control points coordinates) and spline degree\n",
"tckX = knots_full, x, k\n",
"tckY = knots_full, y, k\n",
"\n",
"# evaluate spline points\n",
"tP = np.linspace(knotspace[0], knotspace[-1], plotpoints)\n",
"\n",
"# was\n",
"#xP = splineX(tP)\n",
"#yP = splineY(tP)\n",
"\n",
"xP = splev(tP, tckX)\n",
"yP = splev(tP, tckY)\n",
"\n",
"plt.plot(x, y, '-og')\n",
"plt.plot(xP, yP)"
]
},
{
"cell_type": "markdown",
"id": "df15a60a-ed27-4eb6-a25a-b2e919cebed5",
"metadata": {},
"source": [
"# Replicate with BSpline / make_interp_spline\n",
"\n",
"For interpolation, this is equivalent to FITPACK routines, only does not use the FITPACK implementation.\n",
"\n",
"If wanted, you can mix and match `BSpline` objects with `splrep` by just wrapping the the output with the BSpline: `tck = splrep(x, y); spl = BSpline(*tck)`."
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "9c601c63-bb60-45de-8019-608b31ab6e3b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb1860ae440>]"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.interpolate import BSpline, make_interp_spline\n",
"\n",
"# find knot vector \n",
"\n",
"# was:\n",
"#knots = si.InterpolatedUnivariateSpline(knotspace,knotspace,k=k).get_knots()\n",
"#knots_full = np.concatenate(([knots[0]]*k, knots, [knots[-1]]*k))\n",
"\n",
"spl_ = make_interp_spline(list(knotspace), list(knotspace), k=k)\n",
"t = spl_.t\n",
"assert all(t == knots_full)\n",
"\n",
"# define tuples of knot vector, coefficient vector (control points coordinates) and spline degree\n",
"tckX = knots_full, x, k\n",
"tckY = knots_full, y, k\n",
"\n",
"# construct spline functions\n",
"splineX = BSpline(t, x, k) # si.UnivariateSpline._from_tck(tckX)\n",
"splineY = BSpline(t, y, k) # si.UnivariateSpline._from_tck(tckY)\n",
"\n",
"# evaluate spline points\n",
"tP = np.linspace(knotspace[0], knotspace[-1], plotpoints)\n",
"\n",
"# was\n",
"xP = splineX(tP)\n",
"yP = splineY(tP)\n",
"\n",
"plt.plot(x, y, '-og')\n",
"plt.plot(xP, yP)"
]
},
{
"cell_type": "markdown",
"id": "8544f1ad-232a-4e23-9816-1c9edbe61817",
"metadata": {},
"source": [
"### `BSpline` can have multidim coefficients\n",
"\n",
"You can use these to represent parametric curves."
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "3476ad75-b633-485c-8287-a2bb66dc27a3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb186600cd0>]"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# In the previous example, instead of using two separate `splineX` and `splineY`, can do\n",
"\n",
"spl = BSpline(t, [x, y], k, axis=1) # pass the interpolation axis explicitly, as the default axis=0.\n",
"\n",
"xP, yP = spl(tP)\n",
"\n",
"plt.plot(x, y, '-og')\n",
"plt.plot(xP, yP)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1cc5f15c-f816-41e9-be8c-4bd1f9ff0556",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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