mirror of
https://github.com/ArthurDanjou/ArtStudies.git
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- Standardized spacing around operators and function arguments in TP7_Kmeans.ipynb and neural_network.ipynb. - Enhanced the formatting of model building and training code in neural_network.ipynb for better clarity. - Updated the pyproject.toml to remove a specific TensorFlow version and added linting configuration for Ruff. - Improved comments and organization in the code to facilitate easier understanding and maintenance.
512 lines
560 KiB
Plaintext
512 lines
560 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Computer Session 3\n",
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"\n",
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"\n",
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"\n",
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"## A first geometric optimisation problem\n",
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"\n",
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"We consider a convex polygon inscribed in the unit disk in $\\R^d$. In other\n",
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"words, we consider $0= \\theta_1\\leq \\theta_2\\leq \\dots\\leq \\theta_n< 2\\pi$, and\n",
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"the associated polygon is the convex hull of $\\{e^{i\\theta_k}\\}_{k=1,\\dots n}$.\n",
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"\n",
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"Find numerically the polygon that maximize the perimeter. Your function to maximize must\n",
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"take, as an argument, the geometric quantities of the problem: you should fix the number of sides or of angles. Then, computing the\n",
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"perimeter, minimise it under constraints, using (for instance) a penalised\n",
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"method (Exercise 3.2). Compute the gradient by finite differences.\n",
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"\n",
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"Plot your results graphically."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"\n",
|
||
"\n",
|
||
"def generate_thetas(n):\n",
|
||
" random_steps = np.random.random(n)\n",
|
||
" return np.concatenate(\n",
|
||
" ([0], np.cumsum(random_steps / np.sum(random_steps) * (2 * np.pi)))\n",
|
||
" )\n",
|
||
"\n",
|
||
"\n",
|
||
"n = 4\n",
|
||
"thetas = generate_thetas(n)\n",
|
||
"thetas_inf = np.linspace(0, 2 * np.pi, 1000)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(7, 7))\n",
|
||
"plt.plot(np.cos(thetas), np.sin(thetas), label=\"polygon\")\n",
|
||
"plt.scatter(np.cos(thetas), np.sin(thetas), color=\"red\", label=\"vertices\")\n",
|
||
"plt.plot(np.cos(thetas_inf), np.sin(thetas_inf), \"k--\", label=\"unit circle\", alpha=0.5)\n",
|
||
"plt.legend()\n",
|
||
"plt.title(f\"Polygon with {n} sides\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.xlim(-1.1, 1.1)\n",
|
||
"plt.ylim(-1.1, 1.1)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 2.0943487 4.1884815 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 3.463947248823501\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 1.57079587 3.14158997 4.71238704 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 4.242639312441127\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 1.25678882 2.51244268 3.76820788 5.02645179 6.28318531\n",
|
||
" 6.28318531]\n",
|
||
"Maximum perimeter: 4.702203347007718\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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XOR0a+mcMz3XXRRx5E+boEY8C7xeuDmHIBZUhQSgUuUuo4MPjggKRz6BSIsDZGwFDJ6oyHuFBvxoPevUd1FiICDDOwE8//WS/D4YsKtJgmMAQBAjF4iSpb/qPZNDXE2FM5NVgjghLBgeejx9XvJbOawluHfAIbd26VcmLBAWvOaogAUKCGKMCVgehZv39cgWYN9aHSkXneeO1Q+gHRlxYIEwLQw6fNbyf8PI5A88SjG5neQ/kYuJCxRl4AuF1RaX2s2fP7Pcj5w8Vq+GZi7vB6x80nQBzhhdZnzOMPlxI4b0P+h2KqpcJ+VzOUjM7duxQ+YL6dxdzgUwI5JVQ5RwUXHjo4POFqnbsw/nvzjmXnjae4Z2CMRX0ddu9e7eaa0Q9pqERkXMc8o8RYZg2bVqwQvK4MIIXNaLAm4u8S1SqI0c1KCF9XnAOg7GHSm1cCIb2PhPXQY8e8SjI1UFCPbwoCM1Bgwk/LvDi4Ucaiblz584NVhYFnhokxuPEBYMDJ1bkoBUqVCjQiQR5aqNHj1Y/Yth3cPk8UQVXpMiXQ94TjCiEmhEOc9Z4iyiQJEFCMq7A8TpgXTg5w/uJH0CEy0IDOXmQw4AhiPAvjIzvv/9eGRohJWPrGm44Jryt+BFFLiCMFOTFOQODCEYPHge9NLzWyClEWAiSCngP8Rx4ETAHSF/gPhibCA9GJm8xJDBveCnhUcXnAZ8LeE4QqkZoW5dICQ28LpCxQH4efoj1ELkOLkbw+iFHEtIi+EGHMaF7RnXPCgxlhEAhr4KkdTxel1eBxwohYqNBjhZy6iC9g88VPK34nqBwB9Iu+o83jHO8fzBcsB6sGdp2kD4JzsAPLwi7woOPAg4YljAm8do7pwHgQg6PwXkBBS+4gMHriO86ioz279+vHofnQEoJ7zveF11eBV6zsNJC3AXON7gwwOuG7wbOPfj+YV54DV0p8I3vHd4nSCLhdcXnNqgnOai0Dc4N8O7jvcU5Bq8ZvKLIL4ZhHZlexOjcg3MePvOQV0HqCPaF7xPOWcHlBOIzBqMT3zdo8uEzhnMnLgIgW4TzKoxH4mIiWKVLiEs4cOCArUWLFrY0adLY/P39balTp1a3Dx48GGLJ/5EjR2xNmjSxJUiQQMmQdOnSJZCcBTh27JitQoUKSs7BWR4kJHkVyIoEBY8LKkOhy0SMHDnSfh/kIiBfkDhxYiXt8O677yopEDwOc46ovAp48OCB7ZNPPlGvB+QXIDfx66+/2sIDJGCw9mTJkimJlmzZstl69eplu3fvXqhzgTzJoEGD1HuB161SpUq2Q4cOqdcnqFQN5tenTx9b9uzZ1fySJ0+u5C9GjRqlZEZ0bt26ZXvvvfeUZAxeG4z37t0bIXmVkOQqnIGcCuRO8BlKlSqVrWPHjm9ISQSV/AhOomfOnDnB/v306dPqM4LXJUWKFLYePXrY/vjjD/Wcbdu2BXrs/PnzlUwKXvukSZPaWrVqFUhSRJ8LJGrCI2sREXmV4GRTnN+/Z8+eqc9CoUKF1PcHc8B40qRJbzxv06ZNSuZCf1zBggUDSX6EtIbQ5FXwvYFcTYYMGdTrA6kdZ1kknVOnTinZDnz+8Z6mS5fOVrduXSU1FPT8gdciduzY6jGQ/vnpp5+iJK8S1msYFvg8YK44N8WIEUPN68MPP3zjMxCR4wX3fb169ar6TOL9wd/CI7UC+RJ8R0uUKGGLHz+++u5C5qRr166BJF4i8toASFDh/cJ3A+9r1qxZ1WPxeQtOXkUH54LGjRvbz1VYd9OmTW3//vtvmGshESca/nG18UiIK9GFceHWD+plIiQqwNsGTzJEeMMS/dWBNwrPg5fJWTKEEELMCHP0CCE+CfLtEP6HXmFIRl7QSko8B2F0pCDQyCOEWAHm6BFCfApUmyI/DXmFKGBxbu0VFOQ1Qe8MuVfIMYRhiJw1oxL/CSEkotDQI4T4FKi0RTEQkthRtRuSnhdAgj2Sx2HYoXIVhSVIYNcrpAkhxOwwR48QQgghxEthjh4hhBBCiJdCQ48QQgghxEthjp4LQPcCtKmCKK2nWnARQgghxDex2WxKCB3i3GH1naah5wJg5GXIkMHoaRBCCCHEh7hw4YLqehMaNPRcgN5eCi84Wri4GrTYQqsZtLFBuyVfgev2nXX74poB1+076/bFNfvqul94YM33799XDqaQ2ls6Q0PPBejhWhh57jL0IOiKffvKFwVw3b6zbl9cM+C6fWfdvrhmX133Cw+uOTzpYizGIIQQQgjxUmjoEUIIIYR4KTT0CCGEEEK8FBp6hBBCCCFeCg09QgghhBAvhYYeIYQQQoiXQkOPEEIIIcRLoaFHCCGEEOKl0NAjhBBCCPFSaOgRQgghhHgpNPQIIYQQQrwUGnqEEEIIIV4KDT1CCCGEEC+Fhh4hhBBCiJdCQ48QQgghxEuhoUcIIYQQ4qVYytDbsGGD1KtXT9KmTSvRokWTxYsXh/mcdevWSdGiRSVWrFiSPXt2mTFjxhuPmThxomTOnFlix44tJUuWlB07drhpBYQQQgghnsNSht6jR4+kUKFCyjALD2fOnJE6derI22+/Lfv27ZNPP/1UPvzwQ1m5cqX9MfPnz5fu3bvLgAEDZM+ePWr/NWrUkOvXr7txJYQQQggh7ieGWIhatWqpLbz88MMPkiVLFvnuu+/U7Tx58simTZtkzJgxypgDo0ePlvbt20u7du3sz1m2bJn8/PPP0rt3bzethBDirbx8+VJevXolMWPGVLdtNpu66Hz+/Lna8Lfo0aOrLSAgQG7cuBHo+efPn1f/64/B5ufnp/6PESOGJEqUyJB1EUKsiaUMvYiydetWqVq1aqD7YODBswdw0t29e7f06dPH/necTPEcPDcknj17pjad+/fvq/9fvHihNlej79Md+zYzXLfvrNuMa4ZB9vDhQ/X9xhYvXjzJlCmTfZ5z585V/+sGnL7BeMubN680adLEbuhNnz49xGMgUuG87lmzZgU6vziDtBVEJXRmz56tjhcnThyJGzduoA0GYcaMGcWMmPH9dje+uGZfXfcLD6w5Ivv2akPv6tWrkipVqkD34TZO2k+ePJE7d+6ok2Rwjzl27FiI+x02bJgMGjTojftXrVqlTrDuYvXq1eKLcN2+g6fWDOPr6dOn6n/9O4sT586dO5XhhfMDNhhiOjDyypQpo8a4P7S5Yh/O54Lbt2+rvGJ45HAxiefj2NiSJk0aaF+XL19Wc3F+jD7GnJYvX25/7L///hviCR/71SMX4O+//1bexvjx40uCBAnUpo9hxMJr6Gn4GfcdfHHdq9245sePH4f7sV5t6LkLeACR16cDwzFDhgxSvXp1SZgwocuPhxM5PjDVqlUTf39/8RW4bt9Zt7vWDOPo5s2bKucW27Vr11So9N69e8p4ypcvn9SuXVs9FrcPHjyoQq5JkiRR98E4gyEE7xjSQCpVqmTfNwq4MFc8HsVe+F/fcL+z4aQfIzzrDumxwZE7d251wocBiP9hYOJ/bMmTJw+0L6zN2VP44MEDtV25ckXSpEmjUlh0Dhw4oLyEyZIlk8SJEyvj1JXwM+4ba/bVdb/wwJr1SKL4uqGXOnVqdWJ3BrdhjOEkhhMxtuAeg+eGBE7q2IKCN9SdH2R379+scN2+Q2TXDIMOYVb9u4wKewAP1rRp0wJ55oDuXdOPqVO/fn1VfQ/DDucJeLxCMnKKFCkiRq87V65c4X5sp06dlGF369Yt5WHEpo9hFOrHx2u5YsUKu6cQ64exB6MP0Q4YuPrrG1X4GfcdfHHd/m5cc0T269WGXunSpQOFOQCsbNwPcOVdrFgxFf5o2LChug8/CLjdpUsXQ+ZMCAkdGCKXLl1SRh023VMHrxZIly6d3RCBMQdvFQy7lClTKkMF/8NoCc6Iw/nAW0EoF5ueZ+j8ejqHfzHG66cbg7itj//77z/lEdVfXzwX+cx4XZE/iAtoQoi5sJShhyv2kydP2m+jkg2yKTh5IekYIVX8ACCZGXTo0EG+//57+fzzz+V///ufrFmzRn777TdVVauDEOz7778vxYsXl7feekvGjh2rwh96FS4hxFhQ4AAjw9nLDlkkeKecgTEHAy5FihSB7ncOSZI3weumVwgDjJs1a2Y35HQvIDaEeWFI6+BvyE3WwesPgw+PwYb3zNe8OISYDUsZert27VKaeDp6nhwMNQgh4ySkSxMA5NTAqPvss89k3Lhxkj59ehXGcU5QxgkNV6j9+/dXxRuFCxdWYYugBRqEEM8Azxy+x+fOnVMbvtfwFPXs2VMZJdgglQTDQ/fQ4X/n8CNxDXitEcLGhvNpUBAaL1CggLrA1kPB2JAPCEqVKiU1a9YMVGGMnEdCiOewlKGHRGhcYYZEcF0v8Jy9e/eGul+EaRmqJcRYTpw4IRcuXFCGQtDvOQw4GAkIt0a0YIG4D0RT3nnnHTVGAQgqhmH06f87e/8uXryo9ElhlCN8jAtrGIo0zglxL5Yy9Agh1geVn0jBOH36tKpU1wub4MlDJRkKpOCdgzGADWkZKAYg5gZyMsjdc87fczbYkUcJDyH+hyGIfD+Ms2bNqp6TP39+uyFPCHEdNPQIIR7Jrz1+/LjSp4SBB/1KgBCsbhjAqEPqRLZs2fiD7wXoYXadEiVKKDkbvP/4HMDDh0IPGP3YkFqjv+8w+OHpY3EHIVGHhh4hxG3gxxw5rwjjOXt3kLSfM2fOQO284LVDRwmG8rzb6wfPHWRhUBEN4w95mMjJRBGHzrp161TKDUK/MPxz5Mihxs6GIyEkfNDQI4S4BBhyMOx0SRMAjwzuA/ihhsAvNoRm+aPt2+iSN/hc6B1HdODR0z9P2NavX68uBGAkYkOeHz8/hIQPGnqEkEiDZHrIHCEUh9AsQrTwyjVt2tTuuWvcuLGq2GS1JQkvrVu3VsbeqVOnVFgX+Xx3796VTZs2yeHDh6Vbt25GT5EQy0BDjxASIeBpOXv2rAqtwcCDzp0OCivQWcKZggULGjBLYnUg6YLuI9iQy4eq7EOHDgXy5iHX89dff1WhXeT/OacCEEI0aOgRQiIEfmQhkgt9OwBPnR6SRXss5x6vhLgC5G3CkMPmDLx98Chjw2cSBT0I7cKrHC9ePMPmS4iZoKFHCAk1NAuvHZrcQy9Nl0JBFxkUWBQqVEhVSzJfihhBhgwZpE6dOsrTpwtsY/v7779VukDVqlXt+aKE+Co09Aghb4Rm4a1DaBYdDp4+faruR25U0aJF1VgPqRFidBUvKnexIacPn1F8ZqHTh/w+5y5ICPPS20x8ERp6hBAFDDr0joaBByFbHeQ9Qd8OwraEmDmnr3Tp0mpDOzYYeqjq1VmyZIkq6IBRCP1GGn3EV6ChRwhRoKhi5cqVyqMHiRTk3MFrhxBY9OjRjZ4eIRFqzYbN+bN99OhR9T9CuxBmLl68uBQrVozV4MTroaFHiI/m3u3fv1/1lUUbMt0jgib0+IFEQju7EhBvIWbMmKqf+e7du9UGGSCIMm/YsEF59+AFRK4pId4IDT1CfAj0k925c6ds375dHj16pIoo4NWA3h1wzmkixJvAhczbb78tFSpUUN69HTt2qI4cyOtDwQYNPeKt0NAjxAe4c+eObNu2Tfbs2aM0yfTcO3jw2FeW+BLIzdM7bFy9elV27doVqLAIVeaQa0EuHzq4EGJ1aOgR4uWgq8CcOXPsvWZTp06tWk5Bk4wJ6cSXwXehbt26ge7bunWryuOD1xth3YoVK6rHEWJVaOgR4mXAoENYVvfUQUQW3SrQNL5s2bKquIK6d4QED0K7COuiEwdCvNhQmASDj5p8xIrQ0CPES4BOGDTEtmzZogy5Dh06qP+RiN61a1elOUYICZ1s2bKp7fr166pYAzl8COdigydcL14ixCrQ0CPECww85Bmh4fuDBw/UfTDuoCWmF1nQyCMkYkCDr0mTJsqTB4MP3TecCzbgOadnnFgBGnqEWBT80ODHZ82aNarYAkATDAUWqKRFuJYQEjVSpEih2v9VqlQpkDYfcvlQtAFDkBW7xMzQ0CPEoqCh+x9//KHGyMfDDxGqB1lgQYjr0b3j4NWrV8rQgwcdxU7Zs2dXBh967xJiNmjoEWIhHj9+bA/D4scFuUSZM2eWkiVLqnAtIcT9oFNMu3btVEj3wIED6qILG76PMPgyZsxo9BQJscO+RoSYiYAAkU2btDH+x20RuXnzpvz2228yceJEefbsmboP+UGtW7eW8uXL08gjxMMgjNuwYUNV6FS0aFFl/KG/7s8//yzr168P1/eaEE9AQ48Qs7BwoUjmzCJ16mi369SR+xkzytI+fWTSpEly5MgR5dE7ffq0/SlMBifEWJIkSSL169eXbt26qdxY9ImG/l5o32t1G/cT4gEYuiXEDOCk36QJKixE4sRRXrt/UU17+bK8/PZbkaZNJVfDhlKlShVVDUgIMReJEyeWevXqSeXKlSVevHjanQsXyvp33pFEIpLXuTjq0iXt+75ggUjjxobNmfgGNPQIMRqEcT75RBl5u6SYDH/WS7b1yC5xX/wu0cQmcVD592ds2fukusybF7oH73XziwgT2ee56pg2m59cv15Spkzxk/A4Ka26zjf/5ic3bpSWiRODX7e3rPPNx/rJzZtlZNw4bd3etc7XRp7NJi+2p5HLsk7d9H8WTZIOTSslbMklre0C3PEin34q0qAB+rJFbjKEhAMaeoQYzcaNIhcvykOJJw3kT7n8Kp3IRfyhqOMxSMtbKl6eReKLbaaw7pQ+uu4U4t3Aci/tuAkDcYfIO9FHy0p5VxLCYrxwQfv+V6pk5ESJl8McPUIM5tGZM7JERAZKb7ks6YyeDiHEjWx71US6SwXZICIvcMeVK0ZPiXg59OgRYqDg8d69e2X1tm1yWTLLZOmp7veX5/Ltd1uk2Vfvi//TJ44nLFwkUrZsmPuNSn1GZJ8b1ee9ePFCVq9eLdWqVRN/f3+PHNOTzw3peVj3qlWrVFutkNZt1Hvizudi3StXrpQaNWqodZvpPXHZ81B5W72a/ebP/u2l44uJavyXjJOsUkyKySvxZ/9c4mZo6BFiAOij+ddff8n58+dFUqWSjf5j5cULLVm7W4wJki1bdkkZ7Yb4yxPtlwXK+/VLiXhpKs+LF+jq8ULQeCCcdp7XrDtu3JeSMKHvrTtWrACBJKTXrrtyOZH0qbTCC5tN2vrNlJEZvpHTpxPLNSksj+UDiZdhhUj58urhaFno3HmDEFfB0C0hHgSejH/++Ud++OEHZeRB/y5Fqmay90UD9fdUclX6xBjxpvtg7FgmbBNiJfB9HTdOG0eLJn7RXsmHHx60/3mKfCN3v5moHofuGt9//72sXbtW9a4mxJXQ0CPEg+zYsUM2bdqkWijlzp1bOnToLD/+mM/+96FJRknCaA8cT4AnjxIMhFgTfG/x/U2n5d7mzXtb3vX7XY1vSgoZsq+eGqNnLs4JEFr+8ccf5Qrz9ogLoaFHiAdy8XTeeustyZIli7Ro0UKaN28uv/+eSA4c0P5WrJhI22vDRZYt0+7A/2fO0MgjxMrg+3v2rP17PezXdBI7tnZOGD9e5PhxUTma7777rmpveO3aNZk6daqsWbNGXr58afDkiTdAQ48QN4Er9O3bt8usWbPUGCDx/P3335dcuXLJ3bsiffs6Ho8oT3R/P5Fy5bQ78D/DtYRYHz/H9zrjOyXkiy+0lAzYcd27aw/Jly+fdO7cWf2P8wX66NK7R1wBDT1C3MCdO3dk+vTp8vfff6uwzKFDh954zODB6GGrjVu0CFdBLSHEC/j8cy0rAyxfrm0AHTXg2WvatKkao2jrLq4ICYkCrLolxMVh2gMHDsjy5ctVG7NYsWIpyZACBQoEetyxYyITJmjjOHFEhg83Zr6EEM+DauORI7ULPACvXtWqIjFjarfz5s0rmTJlksOHDwfqm/v8+XNVwEVIRKBHjxAX8fTpU1m4cKEsWrRIGXkZM2aUjh07SvHixSVaEPEtnNj19JsvvhDJkMGYORNCjKFZM4cXH3l6EzWJPTvw6CGnV+fhw4cyfvx4+ffff5m7RyIEDT1CXAQMvIMHD0r06NFVY/O2bduqRudBQZjm77+1MQy8Xr08P1dCiLHg2g95ufo14KBBIjduhPx4pH/A2Nu4caPK3bt8+bLH5kqsDQ09QlxE1apVJWXKlPK///1PKlSooAy+oDx/LvLZZ47bCN8gjEMI8T1Qad+unTa+d0+kX7+QH1uqVClp1qyZPXdv2rRpqjJXL/QiJCRo6BESSaBkjxZmOilSpFCh2vR6lnUwIDxz4oQ2RhFe06aemCkhxKx88w26wmjjH38U2bcv5MciXw+Vucj51StzUdX/4IGT9iYhQaChR0gke9Siu8WSJUvkwoUL9r8FzcVz5vp1LTyjPU5rdhGVHp+EEOuTOrXDkwfJzU8/1f4PCWjtvfPOO6o6F8VeZ8+eVSLshIQEDT1CIsCTJ09kwYIF8ueff6oKOFTGJUSj0nCAkznCM+B//9PCNoQQ0q2bSPbs2nj9epE//gj7OdDb++ijjyR//vxSpUoVt8+RWBcaeoSEE1w5T548WUkeIP8OOXlt2rSRRIkShflchGOmTtXGCNMgXEMIISBWLJHRox23e/bERWXYz0uWLJk0adLELrmCaAPCuY8fP3bjbInVoKFHSDhApdvMmTPl/v376uT64YcfSrly5YItuAhK0HBM//4iqVK5f86EEOtQty5aoWnjc+dEvvsu4vvYunWrKtBAWolzSgnxbWjoERIOkAuDq+WiRYvKxx9/LGnTpg33cxGGQTgGIDyDMA0hhDiDfN0xYxxdD4cNE7l0KWL7yJYtm7oQxQUpOvPA8HPutU18Exp6hISA8wmyRIkS0q5dO6lfv36ElOkRfkEYRgfhGQrbE0KCI29ekU6dtDGir717R+z5qVKlsuftoSp35cqV8ttvvykxd+K70NAjJBjQn/bnn3+2nyBRTYvCi4iC8AvCMABhGYRnCCEkJAYOFEmaVBv/+ivCsRGPPqAqt3bt2uLn5ydHjx6VKVOmyNWrV90yX2J+aOgREsSLt337dvnll19Ujst6PeYaCRB2QfgFIByDsAzlVAghoQEjb8gQx+1PPhGJqCYyLkzRPg3i7ejOg1BuQECAy+dKrAENPUJeg/6R0MX7+++/VdijYMGCqpVZZEHYRS9+QzgGYRlCCAmLjz4SyZ9fG+/cKfLLL5HbT7p06VROMTpqYEx8Exp6hIgoZXlU1UIIGVfD1atXl0aNGom/v3+k9odwC8Iu+hU6wjGEEBIeYsTQBNWdLxoj2/wiTpw4kjNnTvvta9euKS1Q6IAS34CGHvF5cOKbOnWqCtXGjh1bWrVqJWXKlAm1y0VoIMyCcIsOwjB6zg0hhIQHaCA3bKiNkV43dGjU94lIxe+//y6HDh1SOcgI6RLvx3KG3sSJEyVz5szqB7lkyZKyY8eOEB9bqVIl9WMddKtTp479MW3btn3j7zVr1vTQaogZiB8/vnrf0au2ffv2kl2XqI8kCLMg3AIQfkEYhhBCIsqoUY4qfVTsnz4dtf1B9xORinjx4qnijGnTpqkLXeLdWMrQmz9/vnTv3l0GDBgge/bskUKFCkmNGjXkOpqIBsPChQvlypUr9g1XMahCQo9AZ2DYOT9u7ty5HloRMYN0Ck567733nhJBhgZVVEB4pU8fx22EXxCGIYSQiJItm0j37toYkVZnqabIglw9nOuSJ0+uPHrw7J06dSrqOyamxVKG3ujRo5XHBXpmefPmVerfaPCMD2pwJE2aVFKnTm3fVq9erR4f1NBDObrz45IkSeKhFREjePHihcybN0/2oS/Za3DSw+cgqqDK9soVbYywC1tQEkKiwpdfiqROrY0XLRL599+o7xO/cR988IGKjj179kxmz56tnCfEO7GMrwGJo7t375Y+Tu4Svd8o1L/Dw08//STNmzdXHhxn1q1bJylTplQfflRZfv3116F6dvDFwKaj5znAgMDmavR9umPfZsYd64YuHjzD586dk9OnT6swrSsMPICwynff4SsVTWLGtMmwYS8lMlP3xffbF9cMuG7fWXdk1xw7tsjXX0eTDz/Ufq4/+cQmO3e+jHKkIEaMGKoad+nSpXLw4EF14Quh5cjmJocE32v3EJF9R7NZpD/K5cuXlct5y5YtUrp0afv9n3/+udI6g/ZZaCCXDzl9eBz0hXTg2YGXL0uWLMp9/eWXX6qcLRiPCPMGx8CBA2XQoEFv3D9nzhy1L2JOYOThs3L79m1VTVuhQgVl4LuKb78tIdu2aa3R3nnnhLz33lGX7ZsQ4rugwOuLLyrIf/9p0aaPPtovtWufdcm+YQL8999/yrsXka4/xFgeP34sLVu2lHv37knChAlDfazPGHrQEoLxduDAgVAfBy8P+gX+888/UiWEuFtwHr0MGTLIzZs3w3zBI2u5I+xcrVq1SMt9WBFXrvvu3bsqPHHr1i3l0UVlLcL0rmLt2mhSo4Z2iZ06tU0OH34pCRJEbl+++H774poB1+07647qmrdtiyYVKmjnmKRJbXLkyEu3VPPDJNi5c6fy7rnCccH32t8tx4DdgZSj8Bh6lgndYkHwsAWtEMLtsH6wHz16pDx3gwcPDvM4WbNmVcc6efJkiIYeQn3Bhfvwhrrzg+zu/ZuVqK77xo0bqtMFvhgIyaPwIqpFF868fBk4SXrYsGiSNGnU3ydffL99cc2A6/YdIrvm8uVFWrUSmT1b5PbtaDJ0qL+MG+f6+cFpAiMFOXu4IEauuyvge+1aIrJfyxRjwKVcrFgx+dcpExWaQLjt7OELDugGwQPXunXrMI9z8eJF5fVJkyaNS+ZNjOfIkSPKyEOYFi2BXGnkgalTRQ4e1MbFi4u0aePS3RNCiOLbb0V0J9vEiTi3uf4YSGNKlCiR+h2E/AqUKIi1sYyhByCtAmFbdDBAo+aOHTsqbx2qcEGbNm0CFWs4F2E0bNjwjR/4hw8fSq9evWTbtm1y9uxZZTQ2aNBAJehDtoV4B8jFgwsdnxNXh9bv3BHp189xe/x4FAm59BCEEKJIn94h34TWtZ9+ilCra4+BC2KoW6RNm1blgeH3FqlTxLpY6icJFUKjRo2S/v37S+HChVWV0IoVKyRVqlTq7+fPn3/j6uP48eOyadMmVUoeFISCkbNXv3591SIGj4HXcOPGjS6rxCTGgFxLvSoJVWRly5ZVrYBcDWpybt3SxgirhOFcJoSQKNGjh0imTNp49WqRv/5y/TFQkPj++++r3HMUsc2aNUsuXbrk+gMRj2CZHD2dLl26qC04IJMSlFy5cgUSx3UGP/wrV650+RyJsezatUuWLVumjHdcHECGxx0gbPL999oY4RSEVQghxJ3gehUdM3Q5WAgqV6+O3HHXHgfODqQ7oYgNThTkOXfr1o3KEhbEUh49QkIDBj28sX/99ZcaJ4hs2Wu4jiXy2Wda+ERvOo6wCiGEuJt33hGpWFEbnzyppYy4A93Yg/QKNGtp5FkTGnrEK4Bhh0oxvVgHeXnoaewub96yZSKrVmnjjBld05qIEELCAzSN0V5R1zYeMgQKFO4rhET+e3FUmr3GIqps5DU09IjlwUkHuofQWAQopEGHE1crvOug56TefxIgjOKG9D9CCAmRwoVF2rd39Nj+6iv3Hcv5ghkFGihwPHPmjPsOSFwKDT1ieVBss3nzZjWuV69emHI7UWXCBJH//nNoWzVp4tbDEUJIsHz9tUiiRNoYLd9373b/MZEeAxky5O6hmxQxPzT0iOXJmDGjyiWpWbOmqpp2JwiP6LrbcBhCsNRNjkNCCAmVFClEBgzQxoimfvKJ6+VWgoJGAih0e/nypcydO1c1FyDmhoYesTyZMmWSrl27SqlSpdx+rL590XpGG3/4oUiRIm4/JCGEhEjnzlCX0MYIbMyf797jxYgRQ5o2bSq5c+e2G3volUvMCw09YkkOHTokV69eDaT75G727oX4tjaG7jLCJoQQYiQxY4qMGeO43asX8ujcb+y9++67kidPHgkICFAtRqFZS8wJDT1iOdAVZeHChTJjxgy5g9YUHiBoWKR/fyjIe+TQhBASKrVqaRu4eFFkxAj3HxMNB5o0aSL58uVTxt7ff/9tF6kn5oKGHrEUyAdZsGCB6nOM0EHixIk9ctzff0cSsjbOkUOka1ePHJYQQsLF6NHwtGljGHrnz3vG2HvnnXdU56G2bduKv7+/+w9KIgwNPWIZ0I8YIQJcPeIqEq3r3CWh4gzCIAiH6CBMgnAJIYSYhdy5HRegT56IfPGFZ44L6RX0Ene+6MaFODEPNPSIJUA5/5w5c1TyL9raNW7c2G1iyEGBTp5+dVyzpkjt2h45LCGERAiklCRPro3nzXNEITzJsWPHZPLkyfLw4UPPH5wECw09YnquX78uv/76qzx//lyyZs2qkoARMvAEFy44etgiLILwCOVUCCFmBE61b75x3EZesd6m0RMg2oIORTdu3FA6e8+ePfPcwUmI0NAjpgchgTRp0ii9vObNm6uKL0+BHrYIg+gyBnnyeOzQhBASYT74QKRQIYdSwIwZnjs2LsBbtWol8eLFkytXrshvv/2mjD9iLDT0iOlBr8WWLVuqDWNPAU2qOXO0cbJkDmFSQggxKwh2QMhd58svRe7d89zxkyZNqs7VKMxA54wlS5awN67B0NAjpgRl+gcPHrTfxkkjduzYHjs+cokR9tCBZl6SJB47PCGERJqKFR2tGa9f97zmZ7p06ZSoMvKocR7fv3+/ZydAAkFDj5gOXP39+eefsmjRIsNOEDNnOvpGFizoaB5OCCFWYORIkVixtDE8fJ5uXpEjRw6ljKBrn544ccKzEyB2aOgR07F+/XrV+QJXg6lTp/b48dHirE8fx+2xY7VwCCGEWIXMmR2yUNAx7tHD83MoXLiwvP3228roy549u+cnQBQ09IipgIG3bt06Na5Tp46kSpXK43MYOlTk2jVt3LixyNtve3wKhBDikmKydOm08dKlIitXen4O5cqVk2LFinlMDou8CV95YiqtvMWLF6txmTJlpEiRIh6fw8mTjr6RCHsg/EEIIVYkXjyR4cMdtz/7TPPueRKI2uvC9qjAXbZsmVzTr6SJR6ChR0zBvXv3VNcLCCLnzJlTqlatasg8evYUef5cGyPUkTWrIdMghBCX0LKlSOnS2vjoUZHJk42by9q1a2Xnzp1K/P4xWg4Rj0BDj5iCc+fOyaNHj1SoFr0TjXDz//OPyJ9/auM0aQLn6RFCiBWBM81ZbgUyUTdvGjMX9MRNliyZurDXe5YT90NDj5iCggULKu2lFi1aSCy9VMyDvHwp8umnjtvohhE/vsenQQghLqdECZH339fGd+8apwkaJ04cadasmZLLOn36tKxZs8aYifgYNPSIoSBUq4PKLOfG2J5kyhSRw4e18VtvibRubcg0CCHELQwb5rh4/eEHESeZUo+SMmVKadCggRpv2rRJSa8Q90JDjxjGvn375Mcff5Q7d+4YOo/bt7Vm4DoIc7BAjBDiTSAd5auvAgvCG9WwIn/+/FL6deIg9FJvGhVL9hH4c0YMy8lbunSpXL9+XUmqGMnAgZqxB+DJK1XK0OkQQohbQHqKXmC2dq3Ia5EDQ6hWrZpkzpxZ5WPfh3gpcRue6w5PyGsePHhgb3adN29epbNkFAjXTpqkjePG1XLzCCHEG0EXye++E2nUyKEsUKuWdr+ngYHXpEkTef78ueqPS9wHPXrEo6DKauHCharCFl0vGjVqZNdY8jQIW0BXKiDA0fxbFxclhBBvBOlxVapo4zNnHLqhRhA/fvxARh6MPuJ6aOgRj7Jx40Y5c+aMxIwZU13NofrKKKAUv3q1o11Q9+6GTYUQQjwCrqth3Ol5yN98I3L5stGzEjl16pSMGzdOVeMS10JDj3g0L8+5vVny5MkNm8uzZ4F7P44ahdJ/w6ZDCCEeo0ABkQ4dtPGjR1o0w2gOHz6sIj3Q14POHnEdNPSIx0iUKJGkT59eChUqpDYjGT9ea3cGKlbUetoSQoivMHiwSJIk2njmTJEdO4ydT61atSRNmjSqY8b8+fMDSW+RqEFDj3gMaOS1bdtW6tata+g8rl4VGTJEGyN8MXasFs4ghBBfIVkykUGDHLe7ddNkV4wCaTwQU44bN65cvnxZli9fbtxkvAwaesTtOLvh/fz8DM3LA9CSevBAG7dvL1K4sKHTIYQQQ0D4Nm9ebbx9u8icOcY7A9ACEwV6e/bsUVqrJOrQ0CNuBVdmEyZMkFWrVpmir+Hu3SLTp2vjRIkcnj1CCPE1cM2NiIbOF1+IPHxo5IxEsmXLJpUrV1ZjePWMFtT3BmjoEbfx7NkzlViLXIvbt28bJqPiLKfirAaPfo8pUhg6JUIIMZRq1UTq1dPGqL41g5Zo2bJlJWPGjKqDBkK5JGrQ0CNuwWazybJly5SBhyIM9DY02tCbP19k82ZtnCuXSOfOhk6HEEJMAUSU9YwaKBCcPWvsfCCm3KZNG6lfv77EihXL2Ml4ATT0iFvYv3+/HDhwQH1hkXMRx2DtksePRXr1ctyGjlTMmEbOiBBCzEGOHFp7NF16yvlcaRQxYsQI5DhANS6JHDT0iMu5ceOG8uaBt99+W7ngjWbECJGLF7Vx7dpa2x9CCCEaffuKpEypjRcsEHkteWqKlpm//vqr/PLLL6ptJok4NPSIS0E+HvLyXrx4IVmzZjW0j63O+fOaoQdwkTh6tNEzIoQQc5EwociwYY7byGc2g12FlJ8rV66obf369UZPx5LQ0CMuBfIpZcqUkRQpUkjjxo0Nz8vTK8mePNHGXbtq+XmEEEIC07atSLFi2vjAAZFp04yekdYPV9deRQvNi3pohoQbGnrEpcCwQ9eLTp06qS+o0WzcKDJvnjZGx7X+/Y2eESGEmBNdQN5Zc9QM6iZ58+aVggULqly9RYsWyfPnz42ekqWgoUdcAjTynj59ar9tBk8eZPv0BGO9eXfixEbOiBBCzA2ybZo318a3bmmt0sxA7dq1JWHChHLr1i35559/jJ6OpaChR1zCtm3bZOLEiXL8+HExCzNmiOzZo43RWveDD4yeESGEmJ/hw0V0oYTvvxc5dszoGYnEjh1byXSBHTt2yKlTp4yekmWgoUeiDJTL165dq6qjHj16JGbg/n2RPn0ct8eNQ/6gkTMihBBrAKEE5DaDly9FuncXU4CuGW+99ZYkS5ZMGX4kfNDQI1ECORNLly5VVbZZsmSRIkWKiBn4+muR69e1cZMmIhUrGj0jQgixDtDSy5BBG//9N9qRiSmoVq2adOjQQdKlS2f0VCwDDT0SZWHk06dPK3HLevXqmSI377//HAnFEFUfOdLoGRFCiLVA5zHnc+dnn4mYoQbC399fbTpm6KFudmjokUjz8OFDWblypV0YOWnSpGIGevQQefHCcVWaObPRMyKEEOvRtKlWnAFOnNDy9cwCxJM3bdokkydPZhVuGNDQI5Hm77//lidPnkiaNGmkdOnSYgZWrRJZulQbp03ryDMhhBASMRCgQX6zHqgZNMiREmM08OTt2rVLdWKCvh4JGRp6JNJXUwjXopctGk/jf6OBFw/hBefKMRNI+RFCiGUpWlTkf/9zFLn16yemAOHbGjVqqPGWLVuU7AoJHuN/nYllO2A0atRIunTpojx6ZuCHH0SOHNHGpUqJtGxp9IwIIcT6QIM0QQJtPHWqyL59Ygpy584t2bNnV44HRJhQHEjehIYeiRJmycvDxdyAAY7bCDeYwMlICCGWJ1UqR1ch2FLog2sGmwrFf7Vq1VKOh5MnT5pKx9VM8KeQRIhz587JvHnz5D58+CYCRp7eqqdNG5G33jJ6RoQQ4j106yaSI4c23rBBZMECMQXQ1EN/dbBixQol9UUsbuih+0LmzJmVWGLJkiWVQnZIzJgxQ1n8zltQkUW4evv376/Cj3HixJGqVavKf9DnIMEmvy5btkyOHTumqp3MwsGDIpMna+N48USGDTN6RoQQ4l3EjCkyerTjds+eIk+eiCkoX768JEqUSIn2nz9/3ujpmA5LGXrz58+X7t27y4ABA2TPnj1SqFAhlYx5PZQyIPTGu3Llin2DR8qZESNGyPjx4+WHH36Q7du3S7x48dQ+nfu2Eo19+/ap1xoGMeRUzADCB+hnq0spoQk3qm0JIYS4ljp1RKpX18awp0aNElMQM2ZMady4sXTs2FF1zyAWNvRGjx4t7du3l3bt2knevHmVcRY3blz5+eefQ3wOvHipU6e2b6mQbODkzRs7dqz07dtX9dArWLCgzJo1Sy5fviyLFy/20KqsAXSK1qxZo8YVKlRQxp4Z+PNPkdfTkixZAlfdEkIIcR2QWRkzxtFO8ttvRS5eFFOQKVMmSZ48udHTMCUxxEKGxu7du6WPUwNTSHog1Lp169ZQRX3xAUDYsWjRojJ06FDJly+f+tuZM2fk6tWrah86cP8iJIx9Nm/ePNh9Pnv2TG06er4acgPckR+g79PI3IP169fLvXv3VPEF2px5Yi5hrRtvQY8e+AhrIk/Dh78UPz+bXSzZqpjh/fY0vrhmwHX7zrq9Zc3I0+vYMbp8/72fPH4s8vnnr2TmzABTrRvOGtgMSPMyAk+sOSL7toyhd/PmTVVC7eyRA7iNnLHgyJUrl/L2wVMHI2XUqFEqafPw4cOSPn16ZeTp+wi6T/1vwTFs2DAZBOXIIKxatUp5GN3F6tWrxQgeP36scvNevnwp5cqVs3fD8BQhrXvhwuxy+rRmtBcocEP8/beYph+jld9vI/HFNQOu23fwhjWXKuUvM2dWkQcPYsncudGlUKFNkjv362o4g9d98eJFlUOO3+LatWsrvVejcOea8bvsdYZeZEC3BueODTDy8uTJI1OmTJEhQ4ZEer/wKiJX0NmjlyFDBqlevbrKCXSH5Y4PDJo5O/f48xQw7LJkyaLW2LZtW4/1sw1t3VeuiLRurX18o0e3yfTpiaVgwdriDRj9fhuBL64ZcN2+s25vW/OdO9Gla1dt/Pvv5WTz5oBgJa08vW548tCxCc4d/B5XqlRJPI0n1hwR5QvLGHqIvUMr59q1a4Hux23k3oUHvOAIO0JvB+jPwz6cRX9xu3DhwiHuJ1asWGoLbv/u/CC7e/8hAQM2fvz4SpgSSa+eJrh1Q07l4UNt/PHH0aRYMeufOM3yfhuJL64ZcN2+g7esuUMHkR9/1FQPdu+Orjx7bdsav24cA5683377TRVYFitWzDC9V3euOSL7tUwxBgwMvGH//vuv/T7k3eF2ePusIvR78OBBu1EHLxWMPed9wkrGh8MsvVvN8trjqgjhbjOwcyekc7Rx4sQigwcbPSNCCPEtEBEdO9Zxu3dvrUWaGUDkDtW3SDdau3at+DqWMfQAwqVTp06VmTNnytGjR1Up9aNHj1QVLmjTpk2gYo3BgwervLnTp08rOZbWrVsreZUPP/xQ/R0hyE8//VS+/vprWbJkiTICsY+0adNKw4YNxdeBJpHZWsroquw6AwfC22vkjAghxDepXFmkUSNtjGDb0KFiCvDbrhdZHjp0KFQJNl/AMqFb0KxZM7lx44YSOEaxBMKrUMLWiykglIhKXJ07d+4oORY8NkmSJMojiObHkGbR+fzzz5Wx+NFHH8ndu3dVsQH2GVRY2deAtxRSM3APQ5/ILGXrc+eK6EXWuXOLdOpk9IwIIcR3gZbesmXIjdOkV9q3FzGDlB0id/itP3LkiPLqwX7wVSxl6IEuXbqoLTjWrVsX6PaYMWPUFpblD88fNuJg7969yqiGXh5EpM3Ao0cwzB23ETbwglQXQgixLFmzQuZK60gEYw8dMxYtElMAYf8LFy4omRVEpzxVSGg2LBW6JZ4BGoF6XgNy88wijjx8uMilS9q4bl2RGjWMnhEhhBBkTOn1jOg18M8/YgpSpEih0rOgjeurRh6goUfeYPPmzUpoGpVKxYsXFzOAznUjR2pjePG++87oGRFCCAEJEmhdMnTQlvLlSzEFfnobDx+Ghh4JBKqO9U4j0AAyy5cEIVu9/XC3biI5cxo9I0IIITqtW4u89ZY2PnxYZMoUMQ02m00VZSxdulR8ERp6JBAoVoHYY8aMGSU3qh1MwMaN0eS337RxihQi/foZPSNCCCHOoA5y3DjHbZynb90S0yhILFq0SLVRRetTX4OGHgl01YP2MaBixYqmyGkICICsjsOriPL9RIkMnRIhhJBgKFVK8+yBO3c0+SszkDBhQqW6AdasWWM62TB3Q0OP2IFh98EHH8j7778vWVFKZQLWrMko+/drBiealbyWTCSEEGJCkKunt3yfPFkL45qB8uXLq763qMLVu2P5CjT0yBvGHjqGmMGbd++eyK+/OjQPERYwScogIYSQYEiXTuTLLx0RmV69/JTQvdEkSJBA3nqdROhrXj0aekRx+fJl1QzaTAwdGl3u3dN6CjdtKlKhgtEzIoQQEhbdu4tkzqyN//knuuzcGb5+9O6mbNmyqqXnlStX5NixY+Ir0NAjqvhizpw5MnbsWLmGPjYm4MQJkQkTtI9n7Ng2GTHC6BkRQggJD5BeRccMnZ9/zifPnonhxIsXT0ohkVBEacX6ilePhh6Rffv2Kd08XOmYpdUZlNZfvtTCxz16vJJMmYyeESGEkPDSuDGK+rTx1avx7RfuRlOmTBnJli2b1PAhxX1zvPLEMAICApRAsu7WNoNu3ooVIn/9pY2TJXsiPXu+MnpKhBBCIgDSvNGmMnp0mz0V5+pVo2clqo/9e++9p4w9M+SiewIaej7OwYMH5e7duxI/fnwpjLJWg3nxQuSzzxy327Q5LCZptUsIISQC4Cflgw+0C/WHD6PZizSIZ6Gh58O8evVKNm3apMbIW/BHbzGDmTRJRM+RLV36lVSo8Lq5LSGEEMsxcOAriRv3hRrPmCGya5eYgsePH8u6det8olsGDT0fBlVHN2/eVK7sEiVKGD0duXkzsMDm6NGvlPufEEKINUE3o+bNtat31D588on2v9E8evRIGXp79uyRO1B39mJo6PkwV69eVTkK0BaKFUuTMTGS/v1F7t7Vxm3bihQrZoKzASGEkChRu/YZyZVLO59v2SIyb54ZDNAUkj17dlV5u2PHDvFmaOj5MJUrV5bOnTvby82N5MABRxPs+PG1VmeEEEKsT4wYNhk1KsB++/PP4VETwyn1+rcPXr1nZtB/cRM09HwcyKnE1fvVGATc+J9+ipxB7XbfviJp0hg6JUIIIS6kRg2b1K6tjdFS3QzaqNmyZVOePRh5kBnzVmjo+SD379+Xe+gvZhIWLYJ4pTbOlk0z+gghhHgXo0fDu6eNYeidO2fsfKJFiyYlS5ZU4+3bt6sCRW+Ehp4PsnHjRtUFQ9fPM5KnT0V69nTchpq6CdIFCSGEuJhcuUS6dXOc+7/4wugZiRQqVEjixIkjt2/flv/++0+8ERp6Pgb62R44cEAloKYxQXx0zBiRM2e0cZUqIg0aGD0jQggh7qJfP60SF8yfD8eDsfPx9/dXuXrFihUzTWcoV0NDz8c4fPiwykdImjSpZMmSxdC5XL4s8s032jh6dE1FnXIqhBDivSRO7DjvA8itBDjqNAyhYsWKUq9ePUmWLJl4IzT0fIxdr9UqcfVidPuXPn0clVcdO4rkz2/odAghhHiA//1P65oB9u4VmT7d6Bl5NzT0fEw379KlS6qfrdHtziBbNGuWNk6SRGTQIEOnQwghxEOgpfq4cY7baI1mhvrAy5cvy6JFi+Thw4fiTdDQ8yF2796t/s+dO7fEM7CBLAqb9IRcACPPSz3mhBBCgqFCBZF339XGN26IDBli9IxEli9fLvv377f/VnoLNPR8BJSNo+WZHrY1kjlzUMqujfPmFenQwdDpEEIIMQBIrMSOrY3h4TtxwhwCyrt27fIqqRUaej5C9OjRpUuXLtKwYUNDizDgEXcuqUcBhr+/YdMhhBBiEJkzi/TqpY1fvhTp0cPY+eTJk0c1EHjw4IGc0eUgvAAaej4E+tkiN8/IIoxvv9WqbUH9+iLVqhk2FUIIIQaDC/906bTxX3+JrFhh3Fz8/PwkX758aowQrrdAQ88HePnypdLNM5qzZzVBZAAvnj4mhBDimyBd3Lkd2mefibx4YayAMjh69KjSnfUGaOj5ACtXrpQpU6bIqVOnDJ0HXPR632i0OcuRw9DpEEIIMQEtWoiUKaONkUo+aZJxc0mXLp3S03vx4oUy9rwBGno+0gkD0irI0zOKdetEFizQxilTivTta9hUCCGEmAhkEyFfW2fAAK0S15i5RJOCBQtKYig7ewk09LycQ4cO2TthZEbmqwFA9RwePJ1hw0QSJjRkKoQQQkxIiRIibdtqY2jq9e9v3FzKli0rn3zyiT2Ma3Vo6Hk5e/bsMbwTxk8/IbFVGxct6vgyE0IIITpDh4rEj6+Nf/xR5MABY+YRI0YMwztHuRIael7M3bt35eLFi+oDa9SVyd27Il995bgNrSQDI8iEEEJMSpo0jrQeyNghEmRkHWFAQIDKbTdDMWNU4E+uF3PkyBH1f6ZMmSS+fpnkYQYPFrl5Uxs3by5Srpwh0yCEEGIBYNxly6aN164VWbTIOCNv3Lhx8ssvv8i1a9fEytDQ8wFDLy/aTxgAqqcmTNDGceKIDB9uyDQIIYRYhFixRL77znEbIspPnxqjqZc+fXqv0NSjoefFIKE0f/78Su3bCPAFhdq5LoqZMaMh0yCEEGIhIKZfpYpDf3X0aGPmUeh1ytPBgwct3RKNhp4XAwOvSZMmkiBBAo8fe/lybQMZMjja3BBCCCHhkVvR87lRpHHpkufnkT17dtUS7eHDh3L69GmxKjT0iMuBmHj37o7bUD2PG9fIGRFCCLES+fOLdOyojR89EunTx5jwbX5MxOLhWxp6XggaMq9bt06uX79uyPEnThQ5flwbly0r0qyZIdMghBBiYQYNEkmSRBv/8ovI9u2en0PBggXV/8eOHVOatFaEhp4XgrYtMPSWLFni8WNDzRxfTt39DjkVL5IjIoQQ4iGSJdOUG3Q++USTXTGqJdqZM2fEitDQ80KMrLbt109TNQft2kGo2eNTIIQQ4iV06CCSL582hkdv9mzPHj9atGhSt25d6dSpk+TKlUusCA09LwNJo+fOnTPE0Nu3T1MzB6j/+OYbjx6eEEKIlxEjhsiYMY7bUHB4+NCzc8iSJYukTJnSst0yaOh5GcgjgIp32rRpPdqUGcLhzirm8OylTu2xwxNCCPFSqlXTJFfAlStav3QSfmjoeWnYNp/u6/YQf/whsn69Ns6eXaRbN48enhBCiBcDEWV/f8fY0+ly586dkwULFsiWLVvEatDQ8yIeP34sZ6Eu+VpDz1M8eRJYJw9fQqibE0IIIa4ADoTPPtPGKH71tDbrnTt35NChQ0o82WrQ0PMiIKfi7+8vadKkkaRJk3rsuFAtf21fKhd7vXoeOzQhhBAf4auvRFKlckSR0AvXk+LJ4MqVK0rCzErQ0PMiMmfOLL169ZKmTZt67JhQK4dqOfDz05JmLZqvSgghxMQkTBg4Pw954XqbTXcTP358JbUC/vvvP7ESNPS8jBgxYkgSXWHSA/TujZCxNu7UyVEGTwghhLia9993yHYdOCAybZrnjp0jRw71Pw09YghGNFzetk3k11+1MSLFAwd6fAqEEEJ8CPS/hRC/Tt++yJ/zzLFz5syp/j916pS89JQr0QXQ0PMSNm7cKOPHj5c9e/Z45HiwK6FSrgP1cg+mBRJCCPFR0FqzRQttfOuWoxuTu0mTJo0K4T5//tyuV2sFaOh5CWjNcvv2bY959uDJ27FDGyNc+/HHHjksIYQQIsOHi8SJo42//x6tP91/zGjRoimvHnRqjYii+YyhN3HiRFV0EDt2bClZsqTs0K2NYJg6daqUL19e5axhq1q16huPb9u2rXrznLeaNWuKlUAPvgsXLtgVvN0NCo6Qm6cDNzrUywkhhBBPkCGD43coIECTXtEF+91J3bp15aOPPrLn61kBSxl68+fPl+7du8uAAQNUiLJQoUJSo0YNJSsSHOvWrZMWLVrI2rVrZevWrZIhQwapXr26XEKpqBMw7FAyrW9z584VK3H+/HkJCAiQRIkSeURWBVVPUCcHDRuKVKni9kMSQgghgejZUyRjRm28cqXI8uXuP2Z0JAlaDEvNePTo0dK+fXtp166d6uP6ww8/SNy4ceXnn38O9vGzZ89WjYgLFy4suXPnlmnTpil367///hvocbFixZLUqVPbN09WrboqbKt789zdi+/0aU03D8SMKTJqlFsPRwghhARL3LgiI0c6bsOr9/y5Z4797NkzlS5lBSwTcEPy4+7du6VPnz6BLGuEY+GtC2/nCIQ5g3q94PlDw2IYeJUrV5avv/5akiVLFuobjE3n/v376n/sG5ur0fcZ0r5PnjypPHrp06d3y/Gd6dHDT549064PunULkIwZX4m7DhnWur0VX1y3L64ZcN2+s25fXLMn1o2oUrlyfrJpU3SB6snYsQHy2WfuzZ87fPiwLF68WDlXWrZsach7HZF9R7PZPBHVjjqXL19WYoXoM1e6dGn7/Z9//rmsX79etm/fHuY+4N1buXKlepOQ4wfmzZunvIJ4w1Ay/eWXX6qqGhiPflAADoaBAwfKoGDKfObMmaP25WkDeOHChYK3sUGDBm49/oEDyaV//7JqnCTJU5k06V+JE8c6JeaEEEK8j1OnEknPnhXFZosmceO+UL9NiRM7nDGu5tatW7Jq1SoVDWzUqJHbI2khOa5gZN67d08SQknaGzx6UeXbb79VRh28d7qRB5o3b24fFyhQQAoWLCjZsmVTj6sSQvIZvIrIFXT26On5f2G94JG13FevXi3VqlVTLc6cQSsW3Ic3u0mTJuIuIBnUt6/j4zJyZAx5553q4k5CW7c344vr9sU1A67bd9bti2v25LoPH7bJzz9Hk8eP/WXDhuryww8BbjtWQECAXLx4Ua0NRaHJkyf3+Jr1SGJ4sIyhhxcSHrZr164Fuh+3kVcXGqNGjVKG3j///KMMudDImjWrOhbCoSEZerDisQUFb6g7P8jB7R9h6IbwXbuZn34SOXRIGxcvLtKuXQwlXOkJ3P26mhVfXLcvrhlw3b6DL67ZE+tGK84FC2AAiUyfHl26dIkuRYq451hYB5w70NK7evWq0tfz9Jojsl/LFGPEjBlTihUrFqiQQi+scA7lBmXEiBEyZMgQWbFihRSHhRIGsNLhlg3pjfNFoDoO9XFnORULFh4RQgjxUlKlEunfXxsjIQ2C/u5MTMsAfRcRu7SZmbHUzzXCpdDGmzlzphw9elQ6duwojx49UlW4oE2bNoGKNYYPHy79+vVTVbnQ3oPlje3hw4fq7/i/V69esm3bNjl79qwyGpHnlj17diXbYnaePn2qPmRwI7sTpCNCfRwg77RMGbcejhBCCIkwXbuiH6023rhR5Pff3XcsGnpuolmzZioM279/fyWZsm/fPuWpSwVT/rWeHHTwdCZPnqyKFZC7Bg+dvmEfAKHgAwcOSP369ZXa9QcffKC8hmgnFlxo1mwgvPzTTz/JjBkz3HYMqI1DdRygzgNq5IQQQojZgOTXmDGO2716oWjBPceCygW4ceOGPHnyRMyMZXL0dLp06aK24EABhTPw0oVGnDhxVBWuVdH18/QrC1cDtzd0iXSH4Rdf4MPtlkMRQgghUaZ2bREE5PDTfv68pvWqh3RdSbx48VQhBvLkjai69VqPHgmM3uHDXYYeVMZ1Oxjq41AhJ4QQQswKbC549XR1tG+/RXjVPceqVauWMvaclTzMCA09i/Ly5UvlMgbuKByBuji8eTpQH/ewRCAhhBASYfLkQfRPGz95okWjfBkaehYFRh6KMBB+Ro9bVzNhgiiVcVC+vMi777r8EIQQQohbGDBARG9wNXeuyObNrj8GGhXcvHlT9u7dq1RAzAoNPYuiF53Am+fq/IDr10UGD9bG2DXkVEyegkAIIYTYQcv6r7923IbciqttMRh6UAL5888/39D4NRM09CwKZGJAWGLRkQGaebro9gcfiNtEJwkhhBB30b69iN4jYfdukZkzXbv/6NGj26tvocFrVmjoWZRChQqp9iq5c+d26X737hWZNk0bo5ub8xURIYQQYhVQkDF2rOM2ZHYj0DnMa/T0aOhZlHTp0knZsmUlI8phXURQNXGUpL+WKCSEEEIsx9tvizRurI0RXf3mG9fun4YesRRQEYeaOIC6OFTGCSGEECszciR61GtjSK/ohYauAKFb5MnfuXNHdeoyIzT0LFqIcejQIbl7967L9okSdKiI64weramME0IIIVYma1aRHj208YsXrtWERRetxIkTqzEqcM0IDT0LcvDgQVmwYIFsdmG9ONTDoSIOoCpep47Ldk0IIYQYSp8+UKnQxkuWiKxe7bp9J0+eXP2va9uaDRp6FpdWcQVILRg2zJG8Ctc25VQIIYR4C/HjB+7V/umnaDzgmn0jX75ly5aSB0rNJoSGnsWAbo8ureIqQ693by10C6AmbtLPKiGEEBJpWrUSeestbXzkiMgPP7hmv5kzZ5acOXOq/rdmhIaexbh37548efJE/Pz8JEWKFFHe35YtInPmaGOoiENNnBBCCPE2okfXGgDoQFni1i3xemjoWTRsCyMvRowYUdoXVMIhp6IzZIimJk4IIYR4I6VKibz3nja+c8c1zg1E2g4fPizr1q2T52gUbzJo6FkMV4ZtZ80S2bVLGxcooKmIE0IIId7MsGEiepR18mSRQ4eitj/IqyxfvlwZemasvKWhZzGuoxGtQMg4akrGDx5oVUg6UA+PooOQEEIIMT3p0ol8+aUjsoXCDL1RQGTRU6nMWHlLQ89ioO0Zqnty5coVpf0MHQrvoDaGanjlyq6ZHyGEEGJ2undHEYU2/vdfTXLFFRIr9OiRKJM0aVJV3ZMkCsl0p05pgsgAoshQDSeEEEJ8hdixRb77LrDh9+xZ5PdHjx4xFVAF1/NFoRYO1XBCCCHEl2jUSKRSJW18+rSWwhRZ6NEjLpNW2bhxoxw/fjzS+/jnH5HFi7Ux6jmc8/QIIYQQXyFaNM24g+wK+PprKFtEzaN3+/ZtCQgIEDPB9HuLSav8+++/ki5dukjl6EEFHEmnOt9+K5IggWvnSHyPV69eRVlS4MWLF0ou6OnTp6Y7SboTrjtq6/b391eaooRElkKFRD76SBNPfvhQK9KYPj3i+0mQIIHqe/vs2TNl7JkJGnoW4u7du+p/vYFyRPnxR5HDh7Ux1MFbt3bl7IgvAgPvzJkzytiLqg5V6tSp5cKFC0qqwFfguqO+bpwPsS9fev2Iaxk8WGTePPzGisyYIdKpk0iJEhHbBz5/zZs3VwYfNjNBQ89HDD1cYPTr57jt7K4mJLI/1vAyw6OSIUMGiR6FDxQMxYcPH0r8+PGjtB+rwXVHft34/D1+/NguOeWqlpDE90iRQmTgQEfEC40ENm+OeM/3LFmy2D3WZoKGngUNvchU3OJDrHuT4ckrXdrVsyO+xsuXL9UPbdq0aSVu3LguCf/Gjh3b5wwerjvy644TJ476H8ZeypQpGcYlkaZTJy18e+yYyNatInPnirRsKV6B75xZvIDIevQQrp00SRvj9xi5eYREFT23KiY0eggxCP0iw2xeFGIt/P1Fxoxx3P78c5FHjyK2D1TcbtiwQXbpLadMAg09i4AwRWQMPah9f/YZfpS126iyhSo4Ia6CuVHESPj5I66iZk2ROnW08aVLIsOHR+z5t27dkjVr1si+ffvETNDQswgIc+iVjREx9P76S2T1am2cKZOmm0cIIYSQN0EzAb0dKJoJnD0r4UYvwkD+qZmgoWcRICPw8ccfS+vWrZUsQXiAyjfUvnVGjUJOi/vmSIivgObl8CTpXnZXkTlzZhkbFdVWF+2DEF8lZ06tGAM8faqFcMMLiot0Qw9ROLNAQ88iIGE5VapUkj179nA/Z/x4kZMntXHFiiLvvOO++RHiS5QpU0ZVHCdKlEjdnjFjRqRlj5zZuXOnfARRL0KIYfTrp1Xigt9/F9mwIXzPixcvnr3YCHp6ZoGGnpdy7ZrIkCGB1b+ZykKIa0ABiju026CuH1oFMwsOCHE/iRKJDB3quA0PX3h0vVH1rX9/IQZuFmjoWYSzZ8/K5s2b5RosuHDw1VciDx5o4/btRQoXdu/8CAmaTxrcBkmW8D42qFET0uNcEdosXLiwDIQG0WtgwE2bNk0aNWqkTtw5cuSQJUuWBBu6xbhdu3aqRSHuw+a8r6AsXbpUSpQooaRFIAmCdIyQ5oZ9TZ48WerXr6+8Bd98880b+0CPTcwzJDDHDz/8UBmRCRMmlMqVK8v+/fsj/LoR4ku0aydSpIg2Rm3Fzz9HLHz75MkTMQvU0bMIly5dUqXb0I1CCDc0du92fChxZYL+fYR4iqHOl8JBgMHUqlUr++2RI0cqgw75LAh1oIWQ7iWD0dO2bVv7Y2EAQbcvKKEZVVFh0KBBMmLECDXHCRMmqHmfO3dOkiZN+kYYF3Pr37+/vQ+1frIPyrJly5RR9tVXX8msWbPUVf+iRYtCnQfW9+2336pjID836D5g7C5fvjzE57/77rvqvPH333+rUPOUKVOkSpUqcuLEiTfWQgjRgCTjuHEiFSo4nCfvvotiSAkV/btvJo8eDT2LgJM5fgR1gdCQQP4n3Mx6HuiAAY5cA0JI+IGR2aJFC7vxOn78eNmxY4fUhAZDkDAuDCgYqAjnhgY8cmiTBCNSz+XR1fRDomXLlspjqIPnO+8DFELDzmDYtGmTmjMEhXH+AKNGjZLFixfLggULmA9ISCiULy/StKnIb7+J3LihpUN9911ozxCpVauWVK1aVbZs2SJmgYaeRdDDWAjVhMb8+VrrFpArl0jnzp6YHSEOvkRX8BAI2gWhV69edoPn/v37KrSoPyZo/tunen8iD1GwYEH7GGFTzE1vtxVZoK/VHrkUEaB48eKR3gdCtKgATJYsWaD7EVY6depUhOZBiC8yYoQIsjbgoEOBI66N8NsaEkiRwO81lDLMAg09i6DnIoVm6CGq5VwKDj0gNi0gniYinTL0x8LQwxhbSC2xXNWBA/sPKn0QXJFD0BM1DE/MMyqE5ZEPrZIvMvuAkYcesMgjDIorqoQJ8XYyZdJ+VwcPRttHTbJs2TKxFCzG8CJDD+KOFy5o41q1RGrX9tTsCLEOuOKGNIoOPIlnzpyJ0j5hhOot4cLyEv77779ROlZE9lG0aFG5evWqyu2DNJPzhiIOQkjYwNBLn14bIx32779Dfuzt27dVG7RjaJprEmjoWQB4H8IK3Z4/72jXAj1lePMIIW+CqtNffvlFNm7cKAcPHpT3339fySJEBRSOwHsGAwxFU8EVjYABAwbI3Llz1f9Hjx5Vx4+ouHFw+xgeQq8m5AqVLl1aGjZsKKtWrVLV+8gdQiGH2fpxEmJW4sXTQrg6aCsaktIRqu/hQTdTagQNPQsAI08PGYVk6H3xBfJutHHXriK5c3tyhoRYhz59+kjFihWlbt26UqdOHWUEZcuWLUr7ROVthw4dpFmzZspjiGrd4KhUqZL8/vvvSqoFki4wxPbs2ROhYwXdBwxXFFwEB8LNqMitUKGCKujImTOnKuRA9XBY1fuEEAfNm+N7ro1RXD9xooTaBs1M8irRbGbq02FREPpB1R0seSRsuxrITsyZM0fKli2r5CmCJqlv2qRVBwFEY/77L+wScKsYuPiRql27tqkSW92NVdYN+QCEPFE1GlaRUFgEV4zhC3DdUV+3Kz+H7sQq32tX403r3rVLpEQJh3QZfmuDqlrg84jq+v/++0+mT58eqbxcV9sdvnNmsTA4EULvCieyoEYeHH16Xz4AzTxvMPIIIYQQM1G8uCakDO7d01qlBcXZmDVLJxsaehZnxgwRPfIDNYgPPzR6RoQQQoh3MnQoRJG18dSpkDB60zGjO2SCdgIyChp6FuDGjRty5MgRlXjtzP37yDdy3IaKdxRzygkhhBASAtBE1z15iKhB3tM5AQ5Gnu7Vo6FHws3ly5eV8Olu9DZzAm0vdf3Wd95BkrYx8yOEEEJ8hU8+EdHrtyBRuXBh4L9DzgjQ0CMRKsYAzonGSAIdM0Ybo7MRNPQIIYQQ4l5ixQrcCq1nT4fqBWjdurVqhZYkSRIxAzT0LIDeHNnZ0MMHS8/zxDiMdpmEEEIIcRH160OnUhufPRtYuxY9r9F5RvfsGQ0NPQsaeqtWab33QNq0Ir17Gzk7QgghxLeIFk2Lqul58SjSuHRJTAkNPQuFbmPFiqV67UGVWweC+HoFECGEEEI8Q/78Ih07amM0w9GdLsipP3TokOqSYwZo6FkIVPP88IPIkSPa7ZIlRVq2NHpWhBBCiG8yaJBI0qTa+NdfRbZtE9m7d69qTQjFDDNAQ89C3LsXQ/r3Dyyn4kNi+oSYHvS8jWjvWrMeB/06cXF59+5dtx6HECuTNKnI4MGBK3KjRdPiuay6JeEjIEBKR4+u+lkunZpe7tzR7m7TRvPoEUI8z4wZM1SydVB27twpH330kSFzIoQYw8cfi+TLp43RdnrHuFtq/BJyGCboeWs5Q2/ixInqahaFCSVLlgyxmbcOmn/nzp1bPb5AgQKq554zaPXbv39/SZMmjepJhybj6FFnCiDOkzmzJG/ZUp4+zS4zlmdUd8eL/VKGDTN6coSQoKRIkULixo1r9DQIIR4kRgwRZwf774dayYsXsSVg0SIRnA8aNjRyetYy9ObPny/du3eXAQMGyJ49e6RQoUJSo0YNua6rBgdhy5Yt0qJFC/nggw9UzLxhw4ZqQ5KkzogRI2T8+PHyww8/yPbt2yVevHhqn3qlq6FGXpMmIhcvKtXtn34qIK9Ecwd/+XSApN0WRKGREBLu4qZu3bpJypQp1QVguXLllCcuaMhy2bJlUrBgQfWYUqVK2c8b+Hu7du1UM3E8DtvAgQODDanib1OmTJG6desqAzBPnjyydetWOXnypFSqVEkSJEgg1atXl1OnTtmfg3GDBg0kVapUEj9+fClRooT8888/EVpj27Zt1blu0KBByvhE0/MOHTrI8+fPw/06OPPo0SO1jwULFgS6f/Hixeqc+eDBA/s5t3Dhwmp/xYsXV3/Ha7Bv3z77c9avX69eT6wvXbp00rt370AhLrwumNfnn3+uenxDqkJ/fQkxK1W/bygNZLEa35W0cvRoQ3mht8z4809jjT1bBGnTpo1t/fr1NiN46623bJ07d7bfDggIsKVNm9Y2bNiwYB/ftGlTW506dQLdV7JkSdvHH3+sxq9evbKlTp3aNnLkSPvf7969a4sVK5Zt7ty54Z7XvXv38G6q/13Cy5c2W/r0+IiobWKMd/ShLbOctj2R2DZbhgza47yY58+f2xYvXqz+9yWssu4nT57Yjhw5ov7XKVbMZkuXLjLbK1vatAHq/8g8H8cNL926dVPnjeXLl9sOHz5se//9921JkiSx3bp1S/197dq16vucJ08e26pVq2wHDhyw1a1b15Y5c2b1njx79sw2duxYW8KECW1XrlxR24MHD9RzM2XKZBszZoz9WNhPunTpbPPnz7cdP37c1rBhQ7WfypUr21asWGE7dOiQrUSJErYaNWrYn7Nv3z7bDz/8YDt48KDtxIkTtr59+9pix45tO3funP0xQY8TFKwpfvz4tmbNmqlj/PXXX7YUKVLYvvzyywi/Dnfu3FG327dvb6tdu3ag49SvX1/9JgCc/5ImTWpr3bq12h/2mzNnTrWPvXv3qsdcvHjRFjduXFvHjh1t27dvt/3xxx+25MmT2wYMGGDfZ8WKFdVrO3DgQLX+mTNn2qJFi6bei/B+Ds2IVb7XrsYn1v34sfqB/k+y2WLKU/vv9S/+uey/42rD41xEROyOCKv54SoW4c1MmTKpq9r3339fXZW5G1yJogVYH6fmrmgejLngCjk4cD88gM7AW4erTHDmzBm5evWq2odOokSJVEgYz23evHmw+8WVsC55Au6j6axAwPiF2qLMpk0it26JxImjPh1fP3PEaYfH/FL8/KLJC5Rtb9ggUq6ceCv6a+mS19RCWGXdmB9smVevXqkNXL0aTS5d0hp6Rww8JzLP08E8nBpOhgA8U5MnT5aff/5ZnQsAPG6rV6+WadOmSc+ePe1r6devn1SpUkWNp0+fLhkzZpQ//vhDmjZtqjxx8FTBG6ajP09/TZy9a03gnReRXr16SdmyZeWrr76SatWqqcd+/PHH0qVLF/tzkGKCTQdeuUWLFsmff/4pnTt3dqw4yHECvRo2m8SMGVOtSfckwiv2xRdfqP09efIk3K+D/v7+73//U16/S5cuqVQXRFKQCrNq1Sr1919//dXuwYRHDykzPXr0UOvT94HUmwwZMqgoysOHD6VYsWJy5coV5dXr27evOqcDeFLx+oNs2bLJ999/r7ya+vvhDPaL9eLz6GfiZt9W+V67Gp9Yd+/e6vc6k1yWbi8myKiXPdXd7704Js3ixA38uFGjXHLIiLyeETb0YCShZPiXX36RmTNnqjAqDCWERxFu0Jv5uhro0QQEBCh3vzO4fezYsWCfAyMuuMfjfv3v+n0hPSY4hg0bpk6WQcEJz2X5OXPnqv9evIgmN1pkFnmJMNArufd9O1me8rUBCgMzSM6hN4IfH1/E7OuG6jvCavjB1kOCKVLEF5vN8xkhKVK8kvv3H4b5OIRfcYKEIaFfoIEiRYrIgQMH1H2PIYilNLLy2x+DtWbPnl3pY9WsWVOldsC4cN6HbnTgb87343n6bYQ5QdasWe33wVjEcy5evKjCo3g9hw8frs4nOA/hvAfDDLnD+nOCO44zWGO+fPlUSFR/DIxH7PvIkSPqvvC+DgjLwgCD4Ybtxx9/lM8++0x++uknZbQhVIvH47XNmzev+izonwfc1g1sPAaSEzDuMA9935gDbh89elTtD3PGcZznlTx5cmVgBrdeHAuvz4YNG0xT5Wjl77W78Op1V66sbXBAbUkjMsLxp0nDlknmzE6fWxf9Zuvfz/AQqf4cyPmApwwbcuVwtfvee++pfBL0eOvUqZPkyJFDvBV4FZ09hTj54ASFXBucqF3i0atTx36zZrRv5S/ppn5AV3W8L3NittH+sGyZ13v0cHKA58NdFxBmxCrrhqFx4cIF9b3Xu7bs3h25fcFowo++7imLODAuw/7uYa4Ax3H+rsKQw2uN+/SLtaCPgbcIouW4D+vFPIN+32EQ4W/O92Os38Y+ASp2cR/Wra8Xc8N98LrBe4X8YRiJKBKDF9H5eMEdxxmsBWty/rvz2nVvXURfB1QUT5o0SV3gz5s3T3n5EAUB8CCGdEwYuLhf3z/2qb/fQd8TPEZ/vPN68PoHt158DvEaVahQIVCbSLNhle+1q/GJdffsKTJ1qrywxZDez7YH+lOnPo7fcmnf3mUevZAu8oIjSo3Y4HLHG4gNX8LatWurKzZcxeEkhas+V4ErOhzj2rVrge7HbXgVggP3h/Z4/X/ch1CE82NwlRoSONljCwo+xC75IFeoIJIsmdZPxWaTpv5DZHWs9+XZs0SyIKCJdHsyXspnOKs9zsShClfhstfVYph93fA0wfiA0aGH3CKLbnjo+3MXuACFQYLUjCyvG0Tjh2jXrl3y6aefBloLKvpRXAHu3LkjJ06cUOc23cjC+oOba9A1OO/T+X9szqFX/T4UNCDc+84776j74e06e/asKlJw3m9orxX+Bu8jUkxgBOnrgVGFtBt4wML7OjiPcUEPQxShVHgGMU/9b/DCzZ49W+1HPz8i3cZ5H3j9EP52nifmACMPoXF9X0HXphe9BLde3Ie/mf37omOVeboar173t9+KjB8vk6WrHJM86q6kSU/Kggf5xf/Js8CPc9FrEJHXMsJnVHyJ8UVFFRlOGJAvwYnh8uXLKpSLK9HffvtNBjsrCLoAnJTg8v/333/t9+EkidulS5cO9jm43/nxAEap/nic4GDsOT8GVjKqb0Pap0eA8QY1ZBAtmsSLdl8KFJhv//MnMlYCvhvrE0YeIa4EnqKOHTuqXLkVK1YoY6V9+/YqDIL0E2dwDsO5ASFJGDS42EQlK4ABCAMMf0daSUTCKOExRhcuXKgqVWGstWzZMsRcvNBASBNrwhqRSwcvHHIBYRhF5HVwJkmSJNK4cWP1PEQw0qdPb/+bPk94/RCGXblypYx67b3QvZaI9sALjKpaGM7IO8S8ECFxp4FPiFuJE0du1mwtA8SR0vXuuxsko/NHukED9TgjiPA3C54vnBBg5OEKEVeAKNt3dqm//fbbwYqJRhWcDKZOnaoMSpxIcKJC7geKQkCbNm0CFWt88skn6iT23XffqTw+JCNjvjjZ6ScfGKlff/21LFmyRHkjsY+0adPaT+iG0bixCKQMXhe6ZMmyVrJH0yQK9kpRmX6vsbHzI8SifPvtt8pbBu9U0aJFldQJjBIYMUEfh3MILjCRK7d06VJ1wQnKlCmjznvNmjVTqSyIYLiK0aNHq7ngGPXq1VPFEphnREHhAoxGhDQxz/r16weSKQnv6xAUGIIwIhG2dQa/AXiNYKAiIoKCE2iUAj2kisI9GJ2QcSlfvrwy/LA/FGIQYmX6Z/lF7or23XnP7xepVSuZZNQvXmDkvS4CNYSIlvTOmjXL0DL2CRMm2DJmzGiLGTOmklvZtm1boLJ8SAQ489tvv6kSfzw+X758tmXLlgX6OyRW+vXrZ0uVKpWSValSpYqSQYgILpdXceblS9sfQ4YomYQxXX+zV2mnSAEpGJtX4xNl+RZetytlLSCVBBkP/G80QWVF3Im71o3zYIMGDWzuAL8ByZIlUzIzYfHrr7/a/P39bY+DyEq4ct2UVzE3vrDu/ftttujRtd/m+PFf2c590Fdbc7duLpVU8Zi8Cq7+jATeON0jFxQImQbl3XffVVtIwKuHEI2rQ80uw89P3mrbVq4tXSqNG1eQLVfR7UMEvZK//loEHVYIIcTdIKyLvGx4AiGZons3nZk1a5aqKIbnDmFn5POhkETPEyTE27DZRD79FKlk2u2vvoomMdt2lnurVsnzoUPF3wSffSZFWADIvSCcDJV4RIj0wjKk8Z04YfTsCCG+AMLTKLhAXrNziowzCHFDeQG6fSjGw0U25FgI8VYWLxZZu1YbZ82qGX3IPUWKArR6zQANPYuBIsBevbQx9BJ79DB6RoR4F6huheyJO/KMPcWMGTPswvCuAvl9KMZDAYouiRIUtC1DhTAkT/AjN2bMGPb+JV4LOqU6/waj9giOGF3PEVJBZoCGngWAAv3p06ftVwdffGGv0ZC//hJZudLY+RFCCCG+xpgx6LCljaGXrNdw0tAjEQZNziH5gpwXAHH94cMdf4dcoTd3lyGEEELMxOXLIt98o41RXDt2rFJDU9DQIxFGlyaAyKlOy5bQCdTGR4+KTJ5s1OwIIYQQ36JPH7T208YdOqDFoONvNPRIhNFV5qFyr4MrB11TGQwYgH7ARsyOEEII8R127ECFuTaG7GRQ0Q4aeiTSHj0kODtTooTI++9r47t3NWOPEEIIIe7h1SuRbt0ctwcN0jqWOkNDj7jM0APDhqFxuDb+4QeRgwc9PTtCCCHEN5gzR2T7dm2cJ48Wtg1KqVKllBSR/tttNDT0LG7opUkDgUbHlQY0fCDgSAgxh1QL2iwSQqzPw4ea6oVz1a2//5uPq1y5shQpUsSedmU0NPQsZOihv2RAQMAbf8fvCIQawZo1EGv09AwJ8W3QlQdddu4ih8KJhQsXypAhQwybFyHEdXz7rVZtC+rVE6lRQywBDT2LGHpocN6yZUv1Y/Lm3zWhRh0IOAbj/CPEnODiZd068V+wQP2vblsIiAiHBLrZJEiQwKPzIYS4njNnHL+z8OJ9913wj0PRJLRvnYsnjYaGngWIHj26ZMqUSbJnz67GwQGhRgg2gtOnNU0fQkzPwoWq3Uv0KlUkXvv26n/V/gX3uwG040I7wVd6Y8rXNGjQQP73v/+pMdoXFS1aVF1goW/roEGD7MnVABdbkydPlvr160u8ePGkffv28vbbb6u/JUmSRP29bdu2wYZucfJH/9cMGTKosE7OnDnll19+sf/90KFDUqtWLdV5Aq0P0Vv8plM5/YIFC6RAgQKqd2yyZMmkatWq8kjXeCCEuI3PP8f3VxvjK50jR/CPQ2eYH374QXn5zQINPS8Bjj4Yd7od+PXXIleuGD0rQkIBxlyTJiIXLwa+/9Il7X43GHvovXrr1i1ZqzenFJHbt2/LihUrpFWrVrJx40Zp06aNfPLJJ3LkyBGZMmWKaif2ja6M6tQOrFGjRnLw4EFlCP7xxx/q/uPHj8uVK1dknLP2kRPY99y5c2X8+PFy9OhRZTDCWAQI++q5Pbt27VJzunbtmjRt2lT9Hftt0aKFMkjxXPyQNG7cWLVrI4S4j3XrcJGljVOmFOnbN+THPkQin4i6GDML5qj9JWGCE/7evXuVByCkHpwQbPz4Y008GRf5X34pMn26x6dKSNggPPvJJ8FXDuE+XLngsrlBAxE/P5cdFh43eMzmzJkjVeA9fO0lS548ufLKVa9eXXr37i3vv9YtgkcPOXbo4TrASb8IaRTt2rWz39bbE6ZMmTLE7+eJEyfkt99+k9WrVytPHMicObPcv39fjb///ntl5A0dOtT+nJ9//ll5//Bc/IDAswjjDh5+AO8eIcT9pyodfD0TJpQQefDggfrfLBW3gB49i4CQztKlS+USvB2hAOFG/XdmxgyRnTs9Mz9CIsTGjW968oIaexcuaI9zMfDcwQOn59DMnj1bmjdvrtIi0GZw8ODBKnSqbwjNwpv2+PFj+z6KFy8e4ePu27dP/Pz8pGLFisH+HceGp9H52JBo0NsgFipUSBmnMO7gmZw6darcuXMn0q8DISRspk0TOXBAGxctKvI6K8NSHj0aehbB/3UNd3ASK84kT64JOOpA2JGRHWI6wptX4Ib8g3r16qlw57Jly+TChQsqXAvjTz9JIxQLo0zfEJ7977//Al2h6+HWiBDWiR/Hxtycj40Nx65QoYIyEuEN/PvvvyVv3rwyYcIEyZUrl92bSAhxLXfuOOTLADIywgow6IYePXokwsSMGfONfrch0bGjJuQItm3TBB4JMRUQgHTl4yIATsAIf8KTh3w5GEsovgD4H3l2KHwKuoVUCOX8/QxO/kgHnjgUgaxfvz7Yv+PYhw8fVuHcoMfWDUsUepQtW1YZo0jlwHEXLVoUxVeEEBJShOzWLW3cvLlIuXISJvTokUijf2ju3bsX5mPh/IOQow4EHlmYR0xF+fIi6dNruXjBgfszZNAe5wbgwYNHDzlwujcP9O/fX2bNmqUMKRhdKHqYN2+e9A0t+1pE5czBCPvrr7/kxo0b9pO9MzDgkPuHYorFixcrTxwKKnRDrXPnzqowBAUXO3fuVOHalStXqlxAGJDbt29X+Xso1Dh//rzS6MOx8uhXdYQQl3HsGPJmtTF+focPD9/zmKNHIg3ydUBQQdaQgJBj3braGGl94f2QEuIREP/QK1ODGnv6bZSRu7AQwxlUt0LjDt47FFbo1KhRQxlrq1atkhIlSqhWRmPGjLEXP4REunTplHGIQg7IonTp0iXYx6HKtkmTJtKpUyeVf/fxxx/bc/8g+7J582Zl1KEoBB5ASLOguAPexIQJE8qGDRukdu3aqigLxud3332niksIIa6le3f0rHU4SzJmDN/z3nrrLXXuiEx6h7uIZmNtfpRB1VyiRImUtw0nY3cIssLzcPHixVB/RIJy4oRI/vx4viaqjCuUMH6vTAXWvXz5cvXDpuco+gJWWTfyReGVypIlS+SvXiGhgpI258IMePJg5DVuLN4OQrk4f+C8EVpo2Ntw5bpd8jn0AFb5XrsaK657+XKROnUcpyP8dsaNa641R8Tu8J0zixd59MJrm+fMqRVjANRwQPCREFMBY+7sWXn177/yaOpU9b+SoPcBI48QYj6ePxf57DPH7REjImbkmRHq6FkoRw/q/SlSpIjQ8/r1E5k1S+TGDZHffkMekEiFCm6bJiERB+HZSpXkRdGiEgdXpj7k2SKEmIvvv9eiYaBsWZFmzcL/XBRLIkfPbJ5lnlEtAqQVoKOlJ32Hl0SJNIFHHUTJLNZKlBBCCHE716875MnwM4s04gj83CoppEmTJsnvv/8uZoKGng8AAf8iRbTxvn1Q2zd6RoQQQoi56NsXuW/aGK2vixWL2PP1ans91cos0NCzENevX1fSChEVSHUucAQQgAyHSgsh4YL1XMRI+PkjrmDfPq0LBkiQQCRIe+twobczTIAdmAgaehYCml6QfoBSf0SBHNnr3ugqX2/IENfPj/heOgF4juxlQgxCl6exSkUnMR82W+DW2/37i6RKFfH93Lx5U/2fLFkyMRMsxrAQerP08GrpBQXVQ0uWaBW48PC1by+SK5eLJ0l8hhgxYkjcuHGVaC9+ZKMikwG5DRiMkMrwNZkRrjt6pD15MPIQ6cC5Ub/wICSiLFggsmGDNs6e3aFWEVFwLgTJkyeXq1evilmgoedDhh409CCxgrYuEILs0UPkr79cPEniM6AoKE2aNCqV4Ny5c1HaF360UbGG6vKIFBtZHa476uvGeTF16tQumxvxLZ48EenZ03F79Gi0NIz4fnDhoneugqFnJmjoWdDQw4cJV8SRuRKGoffTT1q3jGXLRFasEKlZ0w2TJT4Beq3myJEjyuFbCIyi60OFChV8KgTHdUdt3XguPXkkKowaJXL+vDauXt3RUSqyYVt0xECkw0zQ0LMQSPDESQ0tkqDVA1XsiIKuLAjh6u09IQxZpYrWH5eQyIALjqjqRuFz/fLlS7UfXzJ4uG7fWjcxFxcvinz7rTbG9QJ6xEfWwYxK22rVqpmyOMh3kkK85AdVN+4iG74FLVqIlCmjjdHaZdIkV82QEEIIsQa9e6OYRxujmUDevJHfF9qQlS1bVsqVKydmg4aeRcO3d+7cifQ+cMWCVqI6AwfC7eyK2RFCCCHmZ8sWkdmztTGKZPE76K3Q0LMY5cuXl3bt2kneqFx6iEiJEiJt22pjOAdRTk4IIYR4O69eaXIqOihQTJIkavtEV4xr166p/HmzQUPPYmTJkkW1QUMSfFRBazRdwHvKFJEDB6I+P0IIIcTMzJolsmuXNs6fX+Sjj6K2P+TNz507VyZPnqzy580GDT0fJk0areULwEXIp586BCMJIYQQb+P+fS03TwdpTDGiWJaKVCp48uCAQa6e2aChZ0HQGWPFihX2vnpRAcZd1qzaeO1akcWLoz4/QgghxIwMHSpy7Zo2btRIU52IKs5CyWbUw6ShZ0E2btwo27Ztk0sQw4sisWKJfPed4zZElNE5gxBCCPEmTp3SJFQAsp+goecKdA29FClSiBmhoWdB0I0AXLlyxSX7a9DAcVVz5ozji0AIIYR4Cz17ooOFw6mhR7Nc6dEzIzT0LGzouaqXni63ojfa+OYbkcuXXbJrQgghxHD++ceRmoSOeX36uG7fukePhh5xGXpfR1d59PTKow4dtPGjRyJffumyXRNCCCGG8fKllo+ug24YCRK4Zt/ohMHQLXGboYeet491WW8X4KwlNHOmyI4dLts1IYQQYghTpogcPuzQkH3vPdftG4beu+++KxUrVpSkSZOKGaGhZ0HQH1L/QLkqfKurgw8a5LgNQUnKrRBCCLEqt28HbggwbpwjTclVrUlz5Mghb7/9thqbEXPOioTbq6cngboKhG/z5NHG27aJzJnj0t0TQgghHmPgQM3YA61bi5QuLT4HDT2LUq1aNenRo4eULFnSpfv19w9cdfv55yIukOsjhBBCPArCtZMmaeO4cbXcPFezefNmOXHihLxEIqBJoaFnUZIkSSIJXJVNGoQaNUTq1dPGqL4dPtwthyGEEELcAtKOPvsM7cm026iyTZfOtcdAjvzq1atlzpw58uLFCzErNPRIsEBEGd49MHKkyNmzRs+IEEIICR9Ll4qsXq2NM2XSdPNczYULF+zVtnHixBGzQkPPwmzdulVdSVx2g+hdjhxaMQZ49kwL4RJCCCFmB79Z3bs7bo8aJeIOO0w39DJkyCBmhoaehTlz5ozKDTh//rxb9t+3r0jKlNr4999F1q93y2EIIYQQl4HKWrQ7AxUrirzzjnuOc/HiRfU/DT3iNjLBH/3a4HMHiRJpDaB14OHT8x0IIYQQswHFsSFDtDHUTsaO1bo/uZqAgAB7v3kaesRtZMmSRf1/9uxZefXqlVuO0batSJEi2nj/fpGff3bLYQghhJAo89VXDqWI9u1FChd2z3GuXbumCjCQm5cMIrQmhoaexbX0IJ787Nkzl7ZDc8bPT3ODO3+J7t51y6EIIYSQSLNrl8j06Y6IlO7Zc2fYNn369BLNHS5DXzT0bt++La1atZKECRNK4sSJ5YMPPpCHoQi84fFdu3aVXLlyKYs7Y8aM0q1bN9U2zBm8QUG3efPmiRWACnfmzJndGr4F5cuLNGumjaHP7M4vDyGEEBIZORXnbk4DBqAa1n3HK1GihHTp0kWqVKkiZscyhh6MvMOHDyvNmr/++ks2bNggH330UYiPRyUqtlGjRsmhQ4dkxowZsmLFCmUgBmX69OnKI6ZvDRs2FKuQNWtW9f/p06fdepwRI9B6TRuPHy9y/LhbD0cIIYSEG/hntmzRxrlyiXTu7N7jRYsWTZInT27vUmVmYogFOHr0qDLSdu7cKcWLF1f3TZgwQWrXrq0MubRp077xnPz588sff/xhv50tWzb55ptvpHXr1krBOkYMx9LhIbTCmxVSnp6/v7/EihVLNVd2lws5Y0ZNYmXwYBEIgEOT6K+/3HIoQgghJNw8ehRYAgzdnWLGNHJG5iKGVfTiYIzpRh6oWrWqCl1u375dGjVqFK79IGyL0K+zkQc6d+4sH374ofKOdejQQdq1axeqwYScOGw69+/fV/8jMdMd6tj6PoPbd6JEiVQrND8/P7e3YIHK+M8/x5CLF6PJsmUQpHwpNWu+9pO7gdDW7c344rp9cc2A6/addfvimj217mHDosvFi35qXKvWK6laNUDc+TL/999/cuDAAcmdO7fky5fPkDVHZN+WMPSuXr0qKXVBt9fAWEuaNKn6W3i4efOmDBky5I1w7+DBg6Vy5coSN25cWbVqlXTq1Enl/iGfLySGDRsmgwYNeuN+PB/7cRcIWxtN06bpZPRozeDu1OmJjB27VmLEcJ+xZ5Z1G4EvrtsX1wy4bt/BF9fsznXfuBFHRo7U8uT8/F5J3bprZfly9zZo37Fjh5w6dUpy5swp586dM+S9Rvs1Sxh6vXv3luFhNFJF2DaqwONWp04dyZs3rwwcODDQ3/r162cfFylSRB49eiQjR44M1dDr06ePdHeS3cb+oaNTvXp15TF0h+WOD0y1atVUmDa0N96dhiaoVUtk27ZXsmULrqASyLlzdaRrV/dIu4R33d6GL67bF9cMuG7fWbcvrtkT627Vyk+eP9fKDbp2tUn79hXEndhsNtWoIEeOHNKiRQvJnj27Ie+1Hkk0vaGHkGNbCLWFAsKpyJ+7fv16oPsRpkRlbVi5dQ8ePJCaNWtKggQJZNGiRWG+6CVLllSeP4RmkfcWHLg/uL9h3+78Aoe0/6dPn8q0adPU6/HFF1+EOG9XAbmVEiW08eDBfvLee35urW5y9+tqVnxx3b64ZsB1+w6+uGZ3rXvjRq1rE0ieHJW2fuLvr4Vw3cXVq1eVQwjSZjD2gqaCeeq9jsh+DTX00AgYW1iULl1a7t69K7t375ZixYqp+9asWaNEgmGYhWbx1qhRQxk+S5YsUW9MWOzbt0+SJEnidmPJlWBdUOnG64F2aPjwuROkSrZrp+kVQa2mf3+RyZPdekhCCCHEDro06f3YwTffoLDS/cc9ceKE3QkVmpFnJiwhr5InTx7llWvfvr2KjW/evFnp1zRv3txecYtWJEiMxN91Iw+hVFjeP/30k7oNSxwbjCKwdOlS5QmD/MrJkydl8uTJMnToUKW/Z9UuGe7U03MGrdHix9fGP/4ocuCARw5LCCGEKEfD3r3auFAhkWCU09xq6OXMmVOsgiUMPTB79mxlyEGcELIq5cqVkx9hYTjFxI8fP25PUNyzZ4+qyD148KCKoadJk8a+Xbhwwe76nDhxovIYFi5cWKZMmSKjR4+WAVBatBieNvQQMe/bVxuj+9qnnzqEKgkhhBB3gUjSl18GTidCFyd38+jRI3t/W3dHzlyJNfyOIqrCds6cOSH+HR0ikCSpU6lSpUC3gwNeQmzegG7owWPpiaIMAONu6lSRU6dE1q4VWbRIpHFjtx+WEEKID/P111qXJvDuuyIVK3rmuI8ePVItz1Aj4I7CS/F1jx4Jnfjx4ysJGhi37u6SoYM0xu++c9yGiPLTpx45NCGEEB8EkVO9/zrS7tG1yVOkTJlSddeC7q6VoKHnReiuZFdI0oSX+vUhXq2Nz54VGT3aY4cmhBDiY8ChoGsF9+yJaJ7n5+DniTixC6Gh50Wg7VuhQoWUHqCnQAMRtJuJHt1RpHH5sscOTwghxEdYscLRejNdOmjxeu7Yjx49kidPnogVoaHnRaDQBO3gghNwdCf584t07OjoOdinj0cPTwghxMuBFw9tOHXQayFePM8df8uWLaqZwoYNG8Rq0NAjLgEd4ZIk0cazZols3270jAghhHgLkyaJHDumjUuXFmnZ0rPHP3HihNKqRWGo1aCh52WgGAOVt2vXrlWVQZ4iWTJ0yXDchpAlZFcIIYSQqHDzpohz91IUYyBtyFPcvXtXbty4IdGjR5ds2bKJ1aCh54VAhmb9+vWq6bIn6dBBJG9ebQyPXihqOIQQQki4QPelu3e1Mbqm6i04PcWJ1yLJ6GkfJ04csRo09LyMaNGiSd7X1taRI0c8emx0gxk71nH7iy9EHj706BQIIYR4Eei6NGWKNkY3JhT8eZr//vvPciLJztDQ80J0Qw+dQjwZvgXVqmmSKwDVt99+69HDE0II8RLQ8wDC/Hoa0FdfoejQs3N4/PixXZs2V65cYkVo6HkhcC8nSJBAnj596rGWaM6MGoX2co4x9PUIIYSQiIBuS+i6BLJm1Yw+T3Po0CEJCAhQqhYpUqQQK0JDz0vDt3ny5DEkfAvg3da/kM+eifTq5fEpEEIIsTDosgRxZB10YUInDE9ToEABqVu3rpQrV06sCg09Lw/fHjt2TF2NeJq+fdEuRhsvWCCybp3Hp0AIIcSioMuSHg2qUkWkQQNj5hEnThwpXry45MuXT6wKDT0vJWPGjBLvtZrk7du3PX589HseNsxxGx4+A+xNQgghFgP53XrRBbouocjPk3Iq3gYNPS8Fej/t2rWTnj17GpZXgDL4okW18f79Ij/9ZMg0CCGEWAh0V0KXJYCuS+i+ZIQm7fz582Xnzp3yQm+ua1Fo6HkxyZMnN7T5Mq7EIGypg4opXQuJEEIICQo0WNFdCaDbErouGcH58+fl6NGjsnr1arE6NPR8ALRtQYm4ESB/tXlzh7q5c/cMQgghRAcyKuiqpAMjD12XjOAABPxe57v76zISFoWGnpdz8uRJGTdunCxdutSwOaD5tC4mPmEC9P0MmwohhBCTMnu2o0866gnRbckIXr58KYcPH1bjQoUKidWhoeflJEyYUO7du6fEkx88eGDIHDJmFPn8c20M/ebu3Q2ZBiGEEJOCLkropqSDAgyjHGknTpxQOrT4/cycObNYHRp6Xk7KlClVBS7Ct3v37jVsHjD00qfXxsuXaxshhBAC0EXpyhVtjO5K6LJkFPtRPSgiBQsWVLq0VoeGng9QrFgx9f+ePXuUwWcEceOKjBzpuA2vnsULmQghhLgANHBCFyUALx7EkY3i8ePH9t62MPS8ARp6PgCSSSH6ePfuXXvPPiNo1kykbFltjDy9iRMNmwohhBCTgO5J6KKka65mz27cXJ4+fSrZs2eX9OnTq4iYN0BDzwdAxZCeULpr1y7D5gEPOORWdE/4wIEiN24YNh1CCCEGg162f/yhjWFXoauSkSRNmlRatmwp//vf/8RboKHnY+FbJJk+RNarYfMQaddOG9+7J9Kvn2FTIYQQYiAoztP7ogN0U0JXJbM0HfAWvGclJFTQHaNKlSrqKkVvjWYU33wjkiCBNp46VeuaQQghxLeYNg16dQ4nALopGcnRo0flzp074m3Q0PMhypcvr/IOjK4iSp3a4Z5HbQiu6Gw2Q6dECCHEg8Cecg7TIq3HSCfakydPZOHChTJ+/Hi5du2aeBM09IghQP08WzZtvG6dyMKFRs+IEEKIp0CXpFu3tHGLFo5CPaPYs2eP6mmLAgxvKcLQoaHnY8AtjS4ZixYtMnQesWKJjB7tuN2zJ6qdjJwRIYQQT3D0qMj332tjdE1C9yQjCQgIkO2vW3KUKlXK8KiXq6Gh52Ogtcvu3bvl4MGDhnXK0KlXT6RqVW189mxgw48QQoj3gTSdzz7TCjEAumFkyGDsnI4dOyb3799X+esFChQQb4OGng8WZZihUwbARdOYMSJ+ftrtoUNFLl0ydEqEEELcCLoirVypjWHgQUPPaLZt26b+L1GihMSIEUO8DRp6Piy1As+eUZ0ydPLnF+nYURs/eiTSp4+h0yGEEOImnj/XvHk66JaErklGcvHiRblw4YL4+flJ8eLFxRuhoeejnTLixo0r9+7dkyNHjhg9HRk0CCKV2viXX3B1ZfSMCCGEuBrk5b3uLiblyok0bWqOvPVYsWKpkG38+PHFG6Gh56OdMpBwCjZu3Cg2g7VNYOTB2NOB3IrBjkZCCCEu5Pp1x3k+aJckIylQoIB0795dquoJ414IDT0fBbkIuIqBXpDewNlIOnQQyZdPG6P4afZso2dECCHEVQwY4Cf372tjdBcrWlRMQ6xYsbzWmwdo6PkoceLEkXLlyknFihWViLLRIP917FjHbVRiGdipjRBCiIs4fTqR/Pyz5r5DVyR0RzKaFy9eyNmzZw2PaHkCGno+3inj7bffVvl6ZgCe8wYNtPGVKyIjRvDjSQghVgZ21LRp+cVm0wy9/v1FUqUyelYiBw4ckBkzZsj8+fPF2+EvKTEVo0Yhh1AbjxkTXa5dM4cRSgghJOIsWBBNjhxJrsY5coh062YG49Nml1TJnDmzeDs09IicOnVKpk+fLpdMIGKXPbuj/P7Zs2gyY8brxD1CCCGW4skTSGa9FkoVTRQ/ZkwxxW/ejRs3VG5ekSJFxNuhoUeUC/vcuXOyadMmMQNffeVw7W/dmlbWrzdBaRYhhJAIR2jOn9fO39Wrv5I6dczhzVu/fr0aw8iDseft0NAjqigDvf2OHj2qrnKMJmFCrUuGTvfufhIQYOSMCCGERIQLF0SGDdPG0aO/kpEjA0whp3Ly5EklkIwOGGXLlhVfgIYeUW3RcufOrcZm8eq1bYvye01M7+DBaDJtmtEzIoQQEl5699ZCt6B27TOSJ485vHlr1qxR47feeksSoATYB6ChR+xePXDw4EG5e/eu0dOR6NGRz/EqUDj3zh1Dp0QIISQcbN4sMmeONk6WzCbNmx8XM/Do0SMJCAiQmDFj+ow3D9DQI4p06dJJtmzZVO/bzfiWmoAyZWxSvvxFNb51S2TwYKNnRAghJDTQ1eiTTxy3Bw58JfHjvxAzED9+fOnQoYN88MEHEi9ePPEVaOiRQLp6YO/evfLQJGrFbdocljhxbPY+iceOGT0jQgghITFzpsju3dq4QAGRDz4wVz/L6NGjSyozCPl5EBp6xE6mTJmkcOHC0qBBA9OIKKdI8VR69tROFC9fojDD6BkRQggJDrQ469PHcRvdjtD1yGhevXolu3btUt0wfBEaesQOKm8bNmyomjzjqscs9OjxSjJk0MZ//y2yfLnRMyKEEBIUqCVcu6aNGzcWqVxZTMH+/fvlr7/+kmnTpvlEy7OgmOfXnJgOJK2aATgXR4xw3IZX7/lzI2dECCHEmZMn0c1IG0MUeeRIMc3v2PrXunmFChVSDg1fg4YeCZbdu3fLmDFj5AqazpqAZs1E9CKp48dFJk40ekaEEEJ0evZ0XID36CGSNauYgj179iglCUiplChRQnwRGnokWM6ePasKMlauXGkKVzcuwsaN0/4HgwaJXL9u9KwIIYSsXi3y55/aOE2awHl6RoKcvA0bNtiLDf31Ruo+Bg09EixVqlRRyuEw+E6cOCFmoFgxkf/9TxvfuyfSr5/RMyKEEN8GRXJ6f3Lw7bciZtEhRgHGgwcPJFGiRFK0aFHxVWjokWBJnDixlCpVSo1Xr15tmny9b75xnESmThXZt8/oGRFCiO8yZYrI4cPa+K23RFq3FlPw/Plze6enihUrKseFr0JDj4TaLQMyKzdv3lR5DmYA8ke6Jw8R5U8/1f4nhBDiWSBk7xxZQXqNWQQbnj17JhkzZpRkyZKpIgxfxiRvSdjcvn1bWrVqJQkTJlTeJihbhyXqW6lSJVVh47xBFduZ8+fPS506dZRBkzJlSunVq5e8hC+aSOzYsdVrCNauXStPnz4VM9Ctm0j27NoYxVR//GH0jAghxPcYONDRmhKevNdBIFOA4otmzZrJRx99JH5+fuLLWMbQg5F3+PBhFUaEHg4SLPEGhkX79u1V5ai+jXDS6UA4EkYeXLxbtmyRmTNnyowZM6R///5uXo11KFasmCRPnlweP34sJ1E/bwJixUIfXMftXr0czbMJIYS4n0OHRCZPdkhgITfPjMTCD4aPYwlD7+jRo7JixQoldliyZEkVUpwwYYLMmzdPLl++HOpz4alLnTq1fYNHUGfVqlVy5MgR+fXXX1VHiFq1asmQIUNk4sSJyvgjoq6E6tWrp4zq/Pnzi1moW1ekWjVtfPZsYMOPEEKI+9DTZvTU7S+/RL90MQVnzpyRP/74QxVhEA1LZCdu3bpVhWuLFy9uv69q1aqqe8P27dulUaNGIT539uzZypCDkQeDpV+/fvb2XtgvukA4972rUaOGdOzYUXkPixQpEmLsH5vOffR9eV3K7Y4WK/o+jWrfkjZtWkOOH9a64ZwtXjyGBAREk6FDbdKq1UvTnGys/H4bgS+uGXDdvrNub1rzkiXR5N9/NfMhc2abdO36UkJalifXjSjd0qVL5caNGyr1qHr16mIEnlhzRPZtCUPv6tWrKn/OGVTQJE2aVP0tJFq2bKn6t8JQOXDggHzxxRdy/PhxWbhwoX2/QZsb67dD2++wYcNkEITcggAPoTt7xCJsbTTIi0TfQGfPqLsJbd01axaQZcuyyuPH0aRt26vy2WfmKBrxlvfb0/jimgHX7TtYfc0vXkSXrl3fFpH46nbTpjtl7dorplg3on/79u1TRl7BggVlucH9Mle7cc1Ip7KEode7d28ZPnx4mG9cZHHO4YPnLk2aNEof7tSpU5ItW7ZI77dPnz7SHX24XgOPXoYMGdTVgzsMIFju+MBUq1bNUMHHQ4cOyZ9//qnWijC3u1vJhGfdSP7Nm9cmt29Hk/XrM8jXX6eRkiWtXYZrlvfbk/jimgHX7Tvr9pY1jxoVXa5e1YobKlZ8JUOGFJFo0YKPfnly3fgdhkMnR44cUr9+fZWOZRQvPLBmPZJoekOvR48e0rZt21AfkzVrVhV2vR6kDQIqY1GJi7+FF+T3ARQVwNDDc3fs2BHoMdded2QObb9I7gwuwRNvqDs/yO7ef1jgvYAn9cKFC+o1zJs3r0eOG9q64YAdPFikSxftdo8eMWTrVvOU+Fv5/TYCX1wz4Lp9ByuvGYGuoUO1Mc6x48ZFl5gxo5ti3VCGQOg2c+bMKs3LDD1t/d245ojs19CfwxQpUkju3LlD3WLGjCmlS5dWverQf1VnzZo1KoSoG2/hAS5dAM8ewH4PHjwYyIiEFQ6vnKeMGCsBdfGyrxvO/v3336aRW/n4Y5F8+bQx7PZffzV6RoQQ4n2g6EJXNWvfXsQs8nQowEDECcZd7dq1TWHkmQlL+D3y5MkjNWvWVFIp8MBt3rxZunTpIs2bN7cXCly6dEkZhrqHDuFZVNDCOEQbryVLlkibNm2kQoUKKnYPEGqFQffee+/J/v37VV/Xvn37SufOnVmSHQLoFwgBSlQ0mSXXBILnEOrU6d3bcTIihBASdXbuFJk+XRsnSiQyZIiYho0bN6r/S5QoYXfkEIsZenr1LAw55NjBYofEyo8//hgoJo5CCz1BEZ7Af/75RxlzeB7CxO+8846qyHGWDoEmH/6Hd69169bKGByMWCAJFoRukf8AdCPaDFSpItKggTa+cgUFM0bPiBBCvEtOxVkoOUUKMQ0QRoYT5+23USRCLFl1C1BhO2fOnBD/jri8zakXFgoG1qNtQhigKtfoyhyrgdcMORBoGA1PKeRozJBzMmoUQsrocSjy3XciH3yAvEKjZ0UIIdZm3jyRLVu0ce7cIp07i6lABK5y5cpGT8O0WMajR8wFdAxhfBctWlTpGZoBtEX77DNtDJlDdMwghBASeR49Evn8c8ftMWNQCCCm4Ny5c4EcPCR4zPELTSwHdIqQy4gQupn6CH71FSqmtTHkEteuNXpGhBBiXSBMf/GiNq5TB9qlYgqQNjR9+nTVthTVtiRkaOiRSONs4EHuBlXQRpMggaP8HyCv5OVLI2dECCHW5Nw5zdDTi96QEmMG0KJUz7dHMwUzORvMCA09EmWgqzdlyhTVUs4MvP++SLFi2vjAAZFp04yeESGEWA+EbHUVrW7dRHLlElOAQstbt24pKTTm5oUNDT0SZfCFQ29BCFZCxNpokDI4frzjdt++InfuGDkjQgixFhs2iPz2mzZGhW2/fmIKIJ2my6g1aNBA4sSJY/SUTA8NPRJlChUqpLpmIHwLd7oZkmPLlBFp0UIb37qldc8ghBASNkh5++QTx+1vvhFJnFgM58mTJ7J48WI1fuutt6LUytSXoKFHogxUyOvVq6ckVqBQvnfvXjEDaKOsX+x9/z36Jhs9I0IIMT8QRn7dSErQMvZ//xNTsGLFCiXWD9F+9JEl4YOGHnEJSZIksYtVrlq1Sn0ZjSZDBq1LBkBBRvfuRs+IEELMzb17WqszHXQdMkutQ6lSpSRVqlTSuHFjU2i3WgUaesSlX0K0pEMP3GXLlpkihNuzp0jGjNp4xQoRamMTQkjIoLXZjRva+N13RSpUENOA9mYdOnSQdOnSGT0VS0FDj7gMCCejPRpK3ZGvh81o4sZ1yAMACCqjcwYhhJDAHD/u6BseO3bgc6dRwGGAgj/nVCESMWjoEZeSOnVq+eCDD6RVq1amca03bSpSrpw2PnFCy9cjhBASmB49HLqj6CyUObPRMxLZs2ePTJo0SbboPdhIhKGhR1wOwrfOV11GCyljKrhK1ac0aJDI9euGTokQQkwFUluWLdPGiIx+8YXRMxIl17Vy5UrV+cIsrTatCF854lb1cpTCL1myxOipSNGijsqx+/fNowlFCCFG8+KFo084QMg2XjwjZ6Q5CBYtWqR+RzJnziwlS5Y0dkIWhoYecRvXrl2T/fv3y759++QAWlQYDLSg0CINTJ3qkA8ghBBfZtIkkWPH3tQgNRKEatF1KVasWNKwYUPm5kUBGnrEbWTIkEEqVqyoxn/99VeghFojSJVKpH9/bYyCYAiCmqAwmBBCDAMVtgMGOG6PHetIczGKq1evqk5LoFatWpLYDGrNFoaGHnErFSpUUG53uN8XLFhgeCUu+jXmyOFo8bNggaHTIYQQQ8HFL7TzQNu2IiVKGDsf/Fb8/vvvKi8vd+7cqvMSiRo09IhbQQItxC3jxo0rV65ckdWrVxs6n5gxRb77znEblWVPnhg5I0IIMYb9+0V+/FEbx48vMnSo0TMSpdaA9mZJkyZVcl0M2UYdGnrE7SRMmFDlWIDt27fLcYg1GUjduiLVq2vjc+cCG36EEOILIG3l009R9KDd7tsXgsRGz0rTyUPhRadOnZSDgEQdGnrEI+TMmVNKly4t8eLFkxgxYhg6F1wgjhnjaOszbJjIpUuGTokQQjzKokUi69Zp42zZNKPPSC5duqS6KukY/TvhTdDQIx6jatWq0rFjR8mGs4rB5M0r0rmzNn782NETlxBCvB3YUxBH1kFUI1Ys4+Zz584d+fXXX2Xq1Kly9+5d4ybipdDQIx4DrdHiIxHkNc+ePTN0Pqg0S5pUG//6q8jWrYZOhxBCPMLo0SJnz2rjKlVE6tc3bi4vXryQ+fPny5MnTyR27NiBfiOIa6ChRwzhyJEjMnbsWDmmizcZAIw8NPDWgdyKwU08CCHErSBNRS+6QLMJI+VU0McW0luQU0FaT9OmTRmydQM09IghnD17Vl3BLVy4UH3JjeKjj0Ty59fGO3eK/PKLYVMhhBC306ePyKNH2rhjR8f5zwh27dqlRPVRgNGkSRNJlCiRcZPxYmjoEUOoUaOGZM2aVWkmzZ07Vx4+fGjIPHDxiCta55PggweGTIUQQtzKtm2Oi9kkSbS+30aBrhcr0GBXRKpVqyZZsmQxbjJeDg09Yli+3rvvvivJkyeXe/fuybx581SuhhEgR+W1+otcuaJV4RJCiDeBtBTnytrBg0WSJTMuZLty5UolipwvXz6lyEDcBw09Yhhx4sSRFi1aqP8vXrwoS5YsUScAIxg1ShNT1ivQTp82ZBqEEOIWZs+Gjqk2zpdPpEMH4+aCUC3O/cWKFZMGDRpQFNnN0NAjhpIsWTJp1qyZ6qBx8OBBOXDggCHzgOJL9+7a+PlzkZ49DZkGIYS4HGTGfPGF4zbSVYyueUDxRb169SSmfoVN3AYNPWI46IVbt25dKVGihOQ3MDP4yy9FUqd2iImuWWPYVAghxGUgHQVpKQBSKlWrGjOPPXv2qI14FtYxE1NQtGhRo6cgCRJoJ8R27bTbyGfBOcnoK19CCIksSEPR2zz6+xvX8hGtL5cuXarSc9DHFhf4xDPQo0dMBxJ0//nnH1Wk4WnatBEpXlwbHzwoMnWqx6dACCEuo1cviNNr488+E8me3fNzuHHjhpLSgpFXpEgRyZQpk+cn4cPQ0COmA9VYmzZtUmrpnq7EhYDo+PGO2/36oT2PR6dACCEuYe1akYULtXGqVCJffeX5Ody8eVM2btyozuXoeY68PBZfeBYaesR0lClTRiXqQkh527ZtHq/ERaV/y5ba+NYtY7WmCCEkMrx8GVhOBWkpCRN6dg4PHjyQOXPmqHaX6dKlU6LIKLwjnoWvODEdiRMnlubNmyutPciurDGgKmL4cJG4cbXx99+jZZvHp0AIIZFm2jQRXcSgWDGR99/37PHhwZs9e7bcvXtXEiRIoM7prLA1Bhp6xJRkyJBBufjB5s2blWfPk6RPL9K7tzYOCNCkVwyS+COEkAiBdJO+fR23x43T0lI8CXrW5s2bV+LHjy+VKlVSURpiDDT0iGkpWLCgFChQQI3RKsfTZfnQ0suYURuvXCmyfLlHD08IIZEC6SZIOwEtWoiULev5OSAPr0KFCtKxY0dl7BHjoKFHTA3a4yBnDy5/hHQ9SZw4IiNHOm6jYg1iyoQQYlaQZoJ0E/0chjQUT7J3717Vw1wHnY+IsdDQI6YGV4VVqlSRDh06SNasWT1+/HffFSlfXhv/95/IhAkenwIhhIQLpJcgzQTpJgDpJxkyeO74W7dulT///FNmzpypZLKIOaChRyxh7EFg01mT6bSHmtFCBQD5LboaABqBX7/ukUMTQkiEQHoJ0kwA0k482coRLSwhjQWQm4diOmIOaOgRS3Hr1i2ZPn26zJ07V86dO+eRYxYpIvLBB9r4/v3ASc6EEGIGEC1FeokO0k505QB3c+rUKVm8eLEalypVSqXbEPNAQ49YCuTpQY8JpfvQZ7p06ZJHjvv11w4NKsgW7N3rkcMSQki4QFoJ0ksA0k2QduIpIw8X3gjVIqe6Ro0aFEQ2GTT0iKVAOKBp06aSJUsWJcL566+/yrVr19x+XKjK9+/vyIP55BPKrRBCzAFOgUgrAbCxxo51pJt4wsh7+fKl6nrRqFEjGnkmhIYesRz+/v7SokULpbX35MkTmTVrlmqz4266dhXJkUMbb9wosmCB2w9JCCFhgnQSpJUApJkULeqZ4yZMmFBixYoluXPnlmbNmintPGI+aOgRSwK5lVatWknq1Knl0aNHytiDArt7jykyerTjNhKdnzxx6yEJISRUkEby00/aGOklSDPxFClSpJAPP/xQ3n33XRZfmBgaesSyxI4dW9577z11skHuHm67mzp1RGrU0Mbnz4uMGuX2QxJCSLAETSNBegnSTNzJ0aNHA6keJEmShEaeyaGhRywN2uq8//770rp1a48Yekg/GTMGuYLa7W+/Fbl40e2HJYSQN/j9dy2NBCCtBOkl7uTw4cPy+++/q7w8T+RGE9dAQ49YHrTXcW6WDdFOd+bs5ckj0rmzNn782NETlxBCPAXOPb16OW4jrcTpNOgWnbw//vhDXr16pXTyEEkh1oCGHvEq9u3bp0Q7f/75Z7l8+bLbjjNwoEiyZNp49myRLVvcdihCCHkDpI0gfQQgnQRpJe7iwIEDsnDhQmXkFS5cWBo0aCDRo9N8sAp8p4hXgRJ/6Ow9fvxYZsyYIWfOnHHLcZIkERkyxHEbeTKvXrnlUIQQEogLF7S0EYA0EqSTuEvVBBfPixYtEpvNJkWLFqWRZ0H4bhGvIm7cuNKmTRvVFxeNtaGzh+Rhd9C+vUiBAtp41y6RX35xy2EIISQQX3zhqPjv0kVLJ3EHKLpA71oYecWLF5d69epRJ8+C0NAjXgd0nVq2bCl58uRRau2//fab7Nmzx+XHgWQUhEl1kKv34IHLD0MIIXY2bxaZO1cbI31kwAD3HStTpkxKI++tt96SOnXq0MizKJYx9G7fvq100yDQCCmNDz74QB4+fBji48+ePas+lMFtqBrSCe7v8+bN89CqiLuAcCe0nRBqwNXo0qVL5fr16y4/TuXKIo0aaeOrV0WGDnX5IQghRIH0EKSJ6EAzD2kkrgTnS1wgA8imNGnSRGrVqkUjz8JYRsYaRt6VK1dk9erVqs9pu3bt5KOPPlL9ToMDXRPweGd+/PFHGTlypPrQOjN9+nSpWbOm/TYMSWJ9kEeCUEOcOHFUZW7KlCndlhS9bJnWVByVbx9+KJItm1sORQjxYWbOFNm9WxsXLKilj7gStDJbvHixulBGLh6MO2rkWR9LGHrIsVqxYoXs3LlT5QmACRMmSO3atWXUqFGSNm3aN56DDye6JjiDhFL0ScWPvjMw7II+lngHOFFVq1Yt0H1om4bwrqsSirNmFeneXUuOhrEHyYOFC12ya0IIUaDFWZ8+jttIG3GlDYYCNkSzzp8/r34/S5Uqxd9FL8EShh500WCM6UYeqFq1qvqh3r59u2qkHBa7d+9W1UMTJ05842+dO3dWbVyQwN+hQwflLQzNTf3s2TO16dx/3WQQnkZsrkbfpzv2bWbcse6nT5+qdmn4PDVu3NhlvRlh3M2YEUOuXo0mixaJrFz5UipXfi1XH0F88f32xTUDrtt31h3VNQ8eHF2uXdMsu4YNX0m5cgHiqpcPqVEQQb5165YSnkfaS7JkyVzy/vC9dg8R2Xc0GwLyJmfo0KEyc+ZMOX78eKD7EYobNGiQdOzYMcx9dOrUSdatWydHjhwJdP+QIUOkcuXKqlpz1apVMmDAABkxYoR069YtxH0NHDhQHTcoCCNjP8S8QM0dnwPoQeFqtVy5cuLv7++Sfa9Zk0HGj9e6iWfMeF/GjFknfn6m/3oRQkzOlSvxpGvXyvLyZXTx9w+QCRPWSOrUj12y7xs3bsjGjRuV8wKdhipWrCiJEiVyyb6J+4AHFkWH9+7dU7ULpvXo9e7dW4YPHx7qY1whjYFQHYywfv36vfE35/uKFCkijx49Unl8oRl6ffr0ke6I1Tl59JATWL169TBf8Mha7shNRAjSVUaJFXDXuitVqiTz589X8isQVW7WrJkkTZo0yvtFmueWLa9k167ocv58Qrl8uY58/HHExfV88f32xTUDrtt31h2VNb/zjp8y8gB+ev73v0oumRMcH4h0ZcyYUaVANW/e/I3UpqjC99rfLcfQI4nhwVBDr0ePHtK2bdtQH4NwKjwvQSsmkTQKd3N4cggWLFigrF/oq4VFyZIllZcPVzfI4woO3B/c3/CGuvOD7O79mxVXrxuiyqjaRqgCnyEU4yBUkc0FFRTjx4uUKaONBw70k5Yt/SSyNqQvvt++uGbAdfsOEV3z6tUiS5dq4zRpRPr29RN/f9ck5yVIkEClKeXLl0+lsji3knQ1fK9dS0T2a6ihh1554emXV7p0abl7967KsytWrJi6b82aNSr8BsMsLH766SepX79+uI6Fq5skSZKEaOQR7wBXr6jahmfv4sWLSlgZJ7oCugJyJCldGhXiWlu0W7dEEOEfN85l0yaE+BAvX4p8+qnjNgJgrnS4wZGCnHR0E2K3C+/FEu8shG8hf9K+fXvZsWOHbN68Wbp06aLczHrF7aVLl5SwI/7uzMmTJ2XDhg2q2CIo0FabNm2aHDp0SD1u8uTJKh+wa9euHlsbMQ5czcKjjJA9whWZM2d2yX5RfaunaqL2J0haKCGEhIsffnCcP956S7uIjAqIVP3xxx9y8+ZN+31IO6KR591Y5t2dPXu2MuSqVKmiZFWQRA9dPOeYOIo1EKJ1Bs3t06dPr/LngnN9ogoXHkM0ap4yZYqMHj1aFWQQ3wBVt/D2fvzxx8rw03Guqo4o6dM7ZBCgO/rZZxAhdcVsCSG+AiIC/fs7biMyEBV7DDldSFM5ePCgahpggTpM4kvyKgDJ8iGJIwN4Y4L74MJDhy044CV0FkomvglyVJwTkOHhhW4jijRwtRsZevQQmTZN5Nw5kVWrNEHlunVdOGlCiFcDf8OdO9r4vfdESpWK/L5OnTqlPHlwhOBch4tbdrrwHSzj0SPEE+BiYdu2baq93owZM2Tv3r2R2k+cOCIjRzpuw6sHMWVCCAmLQ4dEJk/WxvHiiQwbFrn9II8dclLIQYaRh+JFpDEhJ4/4DjT0CHECV7mozs6bN6/q9/jnn3/K33//be/9GBGaNBGpUEEbnzypVeQSQkhoIDCFAgz0tQVffikSGbsM4vAw8GDo4QIWhYww8tji0/egoUdIECAxALmVt99+W91G9xX9ijgiIDKCNkV6hGTIEAg2u2PGhBBvYckSkX//1caoD3OSbI3weQwePeSiQ1EAfb9d1QmIWAsaeoSE4NmDQjwqu3HCPHPmjEydOjXCLW2KFBHRC76hb9m3r3vmSwixPqgBczbsRo0SiR07/M+H506PPqCStkmTJkqtomDBgm6YLbEKNPQICQVUeiPcgWIghHMjI3759dciesOUn34SiWTaHyHEy0EE4PRpbVypkkjjxhHrADVv3jxZuXKl/T4UXqBVKPFtaOgREgY4UeKqWA/lAgh4h7cFDc6zumIP8m8++YRyK4SQwFy5ol0UAsioOKd9hAVaOUIeDBJje/bskTt6uS4hNPQICR9x4sSx57cgNIK2ehDYDm8v5i5d0HpNG2/cKPL77+6cLSHEaqDo4uFDbfzRRyKFCoUvVLtz507V/QkXn+jqhPaO+J8QHRp6hEQQhEhg7OF/tFBbsmSJPA9DOwUtJEePdtzu1UskgrUdhBAvZedOkRkztDGKYgcPDvs5OOcsXLhQli1bps5HSDOB8HsaNMQlxAkaeoREEOS9IG8P3VlQtIFQCcImCJ+ERu3aEOnWxufPa4nWhBDfRk/n0Bk4EH3gw3qOTXWLQpcLFF3UqFFDCbzHjkjlBvEZaOgREgn8/PykatWqSnMvYcKEcuvWLdU3edOmTUrSIDiQbwOvnp+foyfuhQuenTchxFzMnSuydas2zp1bpFOnsJ+DC8ySJUuqcw/6daONJztdkJCgoUdIFMiSJYt07NhRVeTCwDt8+HCoPSTz5NHy9cCTJyK9e3turoQQc/HokcjnnztujxmDHuzBP/bChQty4sQJ+22cc7p06SIZM2b0wEyJlaGhR4gLCjUgsNygQQN55513lLcPhGTwoQI3WTJtjPbNmzd7craEELMwfLjIpUvauE4dR2qHM9DuXLVqlfz888+yePFi1Z5RBxqfhIQFDT1CXADCJkWKFJHkyZPb71u7dq1qoYZWRM6gIE6XUQDIzwkh2ksI8VLOnXP0w0ZBv3Oxls758+flhx9+kC1btqgLx5w5c7K7BYkw/MQQ4gagsbd582ZVDffff/9JzZo1JV++fPY8GnTLmDRJ5OBBkd27RWbNEmnb1uhZE0I8BUK2+jUgLvZ0+SXdi7dmzRrZtm2bMvASJEigWpjB0CMkotCjR4gbQJI0CjWSJUumQi3Q3UO/3Nu3b6u/46Icgqg6yNULp/4yIcTibNgg8ttv2hgVtv36BZZNgRdv69atysgrXLiwdO7cmUYeiTQ09AhxE5kyZVKFGuiogXDLqVOnZNKkSbJhwwbl6atc2dHi6No1kaFDjZ4xIcTdoBWts5wKvveJEkmgvDsUeeFisVWrVtKwYUPKppAoQUOPEDcCA69ixYrK4MuaNau8fPlShXQfodxOtBydWLEcFXenThk7X0KIe5kxI5rs26eNCxcWaddOy8VDZwudatWqSadOnSRHjhzGTZR4DTT0CPEACOG+9957qioX+Xq4WgdZs+LqPkCN0VyjZw+byKZN2pPwPy7/CSHWBt/jTZvk4cMY0r+Po/Jq6NBHsmTJIlVRiw47eqV+rFix6MUjLoOGHiEeAoUYBQoUUNW5Ogjnxo8/QZInf6FuL/4zmvxbc5RDbyFzZpGFC42aMiEkquD7i+9xnTry22+55MZdTRLl7fyHZc+esbJ//351bkicOLFK6SDE1dDQI8RA0JA8IOCulMv6o/2+Hi9GSEDAa5V7iGw1aUJjjxArgu8tvr8XL8rxVzlk2bKs6m5/eSIFD9WWFwcOSIYMGaR9+/ZSv359SqcQt8BPFSEGAqHl7Vu2iN/oerJTisslKSlHbPlkwIAUMvf5LIlue32F39pfpO4rkWihX5tFpguSJ54T1uNfvfKTy5eLyrx5fhI9urnX4srnYN0XLxaRP/5wrNssc3PnMbDuCxcKyZIlwa/bVccx9Dm2VyK/PhKxTVQ3tz4vIwE2bbGlZYRklPNSbf0zyT97tkSjgUfcCD9dhBgIumiUCQiQvA/uySv5VAaK1vTy0KGUckiaOB74RER+Fy8GP4AZxPfAujP66Lozi/ev8T3HzdeNchLLBflCRkhVVNii3B65uJUqGTZL4v0wdEuI0Vy5IolFpL9sk/fESVyPEOJVRItmkx/9e0hteSz25mVXrhg7KeL10KNHiNGkSaP+QyRolnwmX8f6Tn7uPUhaf/utxHymSecfF5G4E76XDPXrv/H0EFrqhkpEn+Pux6MTwNq166RSpUriH1JXdw/PyRPHeP78hdJVrFChgmnW7YnXCeveuHGjlC9fPlzrNuN7F9rjIZeyZd48uTtvrrr9NirsY8WWw5MHSsPOf4lotVeBvv+EuAsaeoQYTfnyIunTa4UXNpukiX5LihRJJpmiX1RJ2zD15iZKJE+u75LsG+5L1apVJXXq1OJNvHghcuzYY8mWTSSc9o7XrPv06YeSO7fvrfvChQdSoIB3rfv69euyevVq1fYwTo5XkjzRGal8756gzj4gehy5kvRp4CQ/fO/x/SfEjdDQI8Ro/PxExo3TqvOCZnhHi6a0tQp07iy7YsSQkydPqg0yLZUrV5YkSZIYNWtCyGsghL5o0SI5fPiwPfe2ZJkyUiFvXondsqW6L5Bwiv49Rx9EfP8JcSM09AgxA+iFtmCB1hvp1i3H/enTS5yxY6V248ZS6vZt1ej80KFDcvDgQTly5IgUK1ZMdd6IFy+ekbMnxKeBLMrTp5q3Lm/evFKlShUlkq6IGTPY77Uy8vQeiIS4ERp6hJgFnPQbNNA6nt+/L7JsmUiFCvYr/qRJk0qTJk2kbNmy8s8//yixZejwlShRgoYeIR7kypUrsmnTJqlVq5bEjx9f3VejRg3lfU+VKlWEvteEuBsaeoSYCZz8y5UTWb5c+z+YH4M0adKodmpnzpyRS5cuSYoUKex/Q+gIPXXjxInj4YkT4v1cvnxZ1q9fL8ePozxKVCtDGHggZcqUUfpeE+IuaOgRYlGyZMmiNp1bt27JggULVBUj2qyVLl1atVUihEQNXFDBwDtx4oS6jZZl+fPnl6JFixo9NULChIYeIV7CkydPVNjo6tWrsn37dhXWRb4QQr3wAhJCIgZCsb///rvKh3XuVw05nOTJkxs9PULCBQ09QryE9OnTy8cffyynT5+WLVu2qBw+FG5gg+cPvTRZpUtI2MadbtRhS5AggUSPHt1u4NmLLAixCDT0CPEi8MOULVs2tcGzB4MPhh7GLNggJGSePXsmBw4ckB07dkidOnUkc2atRRtEnUuWLKmKoQixIjT0CPFSIKrcuHFjJfUAIdeYkHl47bGYM2eO+iGDPEvs2LGNniohhnHjxg2V5rB//35l7IHdu3fbDT29qpYQq0JDjxAvJ1GiRGrTQWgXyv3Y0H4Lxt5bb73Fwg3iM+Bi59ixY8p7h+p1HeTdQa6oUKFChs6PEFdCQ48QHyNTpkzSoEEDFdaFNwP/Y4MsS+HChSVPnjzh7rtKiFVBq7Lbt2+rdIdcuXKpix3ksuI2Id4EDT1CfFDFH/IrMOrg1du2bZvy8ulb27Zt7WErQrzBe3fx4kXZt2+fEjjG5x/GXLly5eTOnTtSvHjxQB5vQrwNGnqE+Cj4scuZM6fa7t69q34Iz58/rzx+OvD04XEFCxZkMQexnNwQZFF27dqlOlmAjBkz2sOy1MAjvgINPUKIys+rVKnSG43aN27cqH4wEeaCQQhPYI4cOZTcBCFm48WLFyr3Dr2gIS8UEBCg7ocXD/Io1JMkvggNPUJIiKBid+/evaozAH5AsaEKEV4RGH0UjSVm4tGjR/LHH3/Yb0NAHJ9VpCnEjRvX0LkRYhQ09AghwQIvCPKXsEGeBQYfdMYePnwomzdvViHdqlWr2vOgmMROPMWrV69UtSw8d/DavfPOO3bPNNIM8D88eM59oAnxVWjoEULCBA3b0bwdhh36fSKfD14SHXj61qxZI7lz51Zb2rRpafgRl4KLCeSQQgAcuXfw3gGkEaDIQvfYQTuSEOKAhh4hJNz4+fkp+RVszhw/flxJtWBDXh/aRulGHyp48TxCIgsKKqD5eP/+fft9MOzy5csn+fPnlzhx4hg6P0LMDA09QkiUqVmzpmq7Bs8eJFsePHigug1gixUrlnzyySfMkSLh4t69e6qQInv27JIwYUJ7qBZGHj5LuMiAcQfNO15AEBI2NPQIIVEGbdSQE4UN1brIn4KXD4YfZFmcjbz169er26jipX4ZQaXs2bNnlXF38uRJuXnzprq/bt26Kj8UwLCDlxgV38gdJYSEH35jCCEuBT/E+EHGhubwKN5w/lHftGmT+n/ZsmWqUTx0+5DTh8chD4v4BvD6/vLLL6qiW5dBAcjtTJ8+faBwLC4MgqYLEELCBw09QojbwI82PDE6CMFBrw+ePnQrQAsqbMjBQsgXrdeaNm1qfzyreb0DGPHw8uL9Rd4mQBgW7zneX3h2EapF+B8hWebcEeI6aOgRQjwGftzLli2rtqdPn8qFCxfk3LlzqvUaQnfQPXPO1frxxx9VNwN4/bDh7xRrNjfPnj2Ty5cvK08dNozxXgJ46nRDL2bMmNKwYUPJkCGDJEuWjAY9IW6Chh4hxLC8Pj3Ei1AufuyLFStm/zukNCChcfToUbXpz4FhAKMPoTw8hxgH8jFhxDm/D5MmTbIbdjow4mCkowLbOTyP3Dt4+Qgh7oOGHiHENLl98Pjp5M2bVwnfwuOHDYYfvIAI92GDcaEbGPAMQjwXxgQ0/7A574tEHYTdb926FchTd/XqVWV89+zZ0+6RQ5sxjJF3mS5dOrXhPr4fhBgDDT1CiCmBdAa8d9jKlSunDI1r164pow+GnXPfUlRt7tixI9DzYSTC8MOGBva4TUIH3jZ4UZE3idddN96WL1+uOqPA8xrccx4/fqyqq0GTJk1YGUuIibDMt/Gbb75RVXpQ5Edux927d8N8Dk5AAwYMkKlTp6rHIy9o8uTJKlSkgxNa165dZenSpSr3B610xo0bp/p5EkLMA76fMO6wlSpVKtDfkMdXpkwZ1aoNxiAqOvGdxwaZFwjr6sDzh1AwNNpQBID/9TG+976SA4jXCl45eOlwHtT/f/78ufr7559/bpfFwWsCIw9hVnjqnL11MKCd8+to5BFiLizzjcTJ591335XSpUvLTz/9FK7njBgxQsaPHy8zZ85UlVz9+vVTbZzQPgfhBtCqVSu5cuWKrF69Wp3I2rVrJx999JHMmTPHzSsihLgKvVhDBx4mGDK64eecQ4bCD5wDggMGS5cuXeyPR4EI9uFsFJrZGER1K4xbrB+eOfyvb7hdr149exX07t27Zfv27W/sQ6+CxeN1Qw+GNTTtIIdj1rUTQixu6A0aNEj9P2PGjHA9Ht68sWPHSt++faVBgwbqvlmzZqkwzuLFi6V58+bqqn7FihVKvV8X5pwwYYLUrl1bRo0apa5aCSHWAwYKEv+xBQU9elOnTq06LaBoAP/rG8LDzt58GIQwiIKCqAK2jz/+OJDhBMMQ9yMfTX+MviHnUM9Tg/F4584dVaGK3EN4GRGqxvGxoUhBfyzC0ghV437ozT158iSQ8da6dWt7B4mtW7fK5s2bQzUE9fni/JY1a1ZlvMGw1f+Hhy6oV45hb0Ksi2UMvYgCzSYkCqMJuw6uUkuWLKlOhjD08D9OYLqRB/B4XLHiSrdRo0bB7hsnZ2w6ev9FeASDy2GJKvo+3bFvM8N1+866PblmPfQYFBhSMJz0MCXAhSHkQBAKhlGI//E4GFvYnOesG2whgZy3/7d3L7BRFH8cwKeFUl5tgfCoyEMQrY9WW0KKGBViEYqoNZgoYsSqAcX6QGq1VSlaUagQNDGIhIgYgxJtKBKt2n8rRFRErPIUCFQqVQQFFAutUOj8851kL3vX67V3vevuzn4/yXG9u7ljfzezu7/dnZkzzoZh+4I+hfgsJIfYVpnPlOGSqHFWEZeeMcl0S5AwGvPO4R6JHBJd/I1745dJjOeM5UXiiZu/g+RI1wPbuHu4Me7GDog5mM/WNtHDhhPM83IZj43XcI/ReWY4ksWRrVHGnwULFnjOMJqVl5dH9Pc8cXnZjRi3e9gxZiRHuGFbgcQM3UgwrQhulZWVnv5p+OkunFkzXjNu2CDjfsOGDerMHmDCaCRoeC8+Fwkm/sYNCR/KGtsS42ye8TrO9BlnDHGPhNH4XMDEw2b4v40zloG2a1awY31Hmhtjdmvc/4tgzDij74hELz8/XxQXFwcsg8urxgSbdlFQUCDmzJnjeYwNKI7WJ0yY4LmEEk7YUaDB3HTTTa6ac4pxuydut8WM7iFujNvgxrjdGLNb427sgJiNK4m2T/Ryc3NFdnZ2wDLoQxIK9MEBdMQ2T8OAx+ijY5RBXxnfo1+MPDPe749xRO0LFRrJhhzpz7crxu0ebowZGLd7uDFmt8YdE8GYg/lcSxO9fv36qVskYJQtkjVcWjESO2TA6Bsza9Ys9RgjeDFCDZ2ojRn5v/zyS3WZBH35iIiIiJzMMePk0dEZc+jhHiPP8DduGEVmwCXe0tJS9Tf6ssyePVvMnz9frF+/XnWSnj59uuqEjd9XBPyEUmZmppgxY4bq54LRaphaAQM1OOKWiIiInM4xgzEKCwvVfHiGtLQ0dY9Oy+PGjfOMTjP/xiIm/EQnZ8yLhzN3mF0f06kYc+jB6tWrVXKXkZHhmTAZc+8REREROZ1jEj3Mn9faHHrmH8s2zuoVFRWpW0swwpaTIxMREZGOHHPploiIiIiCw0SPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg0xUSPiIiISFNM9IiIiIg01dnqBdCBlFLd//vvvxH5/MbGRlFfX68+PyYmRrgF43ZP3G6MGRi3e+J2Y8xujbuxA2I28g0j/wiEiV4Y1NXVqfvBgwdbvShERETkovwjISEhYJko2ZZ0kAJqamoShw8fFnFxcSIqKioimTuSyNraWhEfHy/cgnG7J243xgyM2z1xuzFmt8b9bwfEjNQNSd7AgQNFdHTgXng8oxcG+JIHDRoU8f8HDcYtK4oZ43YPN8YMjNs93BizW+OOj3DMrZ3JM3AwBhEREZGmmOgRERERaYqJngPExsaKefPmqXs3YdzuiduNMQPjdk/cbozZrXHH2ixmDsYgIiIi0hTP6BERERFpiokeERERkaaY6BERERFpiokeERERkaaY6NnEyy+/LK699lrRvXt30atXrza9B+NoCgsLxQUXXCC6desmxo8fL/bv3+9V5sSJE+Kee+5Rkzbicx988EFx6tQpYQfBLltNTY365RF/t48++shTzt/ra9asEXYRSp2MGzeuWUwPP/ywV5lDhw6JyZMnqzbUv39/kZeXJ86dOyecGjfKP/bYYyIpKUm17yFDhojHH39cnDx50qucnep76dKl4qKLLhJdu3YVo0ePFt9//33A8mi3l112mSqfkpIiysrKgl7H7SCYuFesWCGuv/560bt3b3VDTL7ls7Ozm9VpZmamcHLcq1atahYT3ue0+g4mZn/bLdywnXJSXX/11Vfi1ltvVb9CgeVbt25dq+/ZuHGjGDlypBp5O2LECFX/7d1ehAyjbsl6hYWFcsmSJXLOnDkyISGhTe9ZuHChKrtu3Tq5fft2edttt8lhw4bJhoYGT5nMzEx59dVXy++++05u2rRJjhgxQt59993SDoJdtnPnzsk//vjD6/biiy/Knj17yrq6Ok85NOt33nnHq5z5O7FaKHUyduxYOWPGDK+YTp486fXdJCcny/Hjx8uffvpJlpWVyb59+8qCggLp1Lh37twpp0yZItevXy8PHDggKysr5SWXXCLvuOMOr3J2qe81a9bILl26yJUrV8rdu3er+urVq5c8evSo3/LffPON7NSpk3z11Vflzz//LJ9//nkZExOj4g5mHbdasHFPmzZNLl26VLXTPXv2yOzsbBXjb7/95ilz3333qfZirtMTJ05IOwk2brTR+Ph4r5iOHDniVcbu9R1szMePH/eKd9euXarN47twUl2XlZXJ5557Tq5du1Ztb0pLSwOW/+WXX2T37t3V/hzr9htvvKHi/vzzz0P+LtuDiZ7NYAVoS6LX1NQkExMT5aJFizzP/fPPPzI2NlZ+8MEH6jEaGBrl1q1bPWU+++wzGRUVJX///XdppXAtW2pqqnzggQe8nmvLiui0uJHoPfHEEwE3RNHR0V47jmXLlqkdy5kzZ6TVwlXfH374odo4NjY22q6+09PTZU5Ojufx+fPn5cCBA+WCBQv8lr/zzjvl5MmTvZ4bPXq0fOihh9q8jttBsHH7wkFKXFycfPfdd712/llZWdLOgo27tW27E+q7vXX92muvqbo+deqUo+rarC3bm6efflpeeeWVXs/dddddcuLEiWH7LoPBS7cOdfDgQXHkyBF1at/8u3c4/bt582b1GPe4RDZq1ChPGZTHb/Nu2bJFWCkcy1ZVVSW2bdumLgH6ysnJEX379hXp6eli5cqV6pKIHbQn7tWrV6uYkpOTRUFBgaivr/f6XFz6GzBggOe5iRMnqh/X3r17t7BauNoiLtvi0m/nzp1tVd9nz55V7dG8PiI2PDbWR1943lzeqDOjfFvWcauFErcvtOPGxkbRp0+fZpe+0AUBl+5nzZoljh8/Luwi1LjRVWHo0KHqB++zsrK81k2713c46vrtt98WU6dOFT169HBMXYeitXU7HN9lMLy3luQY2CCAecduPDZewz1WHjPsILFBNcpYJRzLho3G5Zdfrvo2mhUVFYkbb7xR9VUrLy8XjzzyiNrAon+X1UKNe9q0aWoHgT4iO3bsEM8884zYt2+fWLt2redz/bUF4zWrhaO+jx07Jl566SUxc+ZM29U3lu38+fN+62Dv3r1+39NSnZnXX+O5lspYLZS4faEto12bd3roozVlyhQxbNgwUV1dLZ599lkxadIktRPs1KmTcGLcSGJwEHLVVVepA5bFixerbReSvUGDBtm+vttb1+h/tmvXLrXdNrN7XYeipXUbB94NDQ3i77//bvd6EwwmehGUn58viouLA5bZs2eP6ozttpjbCyvL+++/L+bOndvsNfNzaWlp4vTp02LRokUR3fFHOm5zcoMzd+isnZGRoTaMF198sdC9vrGBRAfuK664QrzwwguW1zeFx8KFC9XAGZzRMQ9MwFkfc3tHcoR2jnJo9040ZswYdTMgycOB6vLly9UBjO6Q4KEucdbdTMe6thsmehGUm5urRhQFMnz48JA+OzExUd0fPXpU7fQNeJyamuop8+eff3q9D6MwMZrReL9VMbd32UpKStQln+nTp7daFpc+sCE9c+ZMxH57sKPiNscEBw4cUBtFvNd3xBbaAkSqrjsq7rq6OnXUHxcXJ0pLS0VMTIzl9e0Ll41x9sH4zg143FJ8eD5Q+bas41YLJW4Dzmgh0auoqFA799baEP4vtHc77PzbE7cB7RgHJojJCfXdnphx8IWEHmffW2O3ug5FS+s2up1gNDW+x/a2n6CEvdcfdehgjMWLF3uewyhMf4MxfvjhB0+ZL774wlaDMUJdNgxO8B192ZL58+fL3r17SzsIV518/fXX6nMwMs88GMM8Ymv58uVqMMZ///0nnRo32vQ111yj6vv06dO2rm90rn700Ue9OldfeOGFAQdj3HLLLV7PjRkzptlgjEDruB0EGzcUFxertrl58+Y2/R+1tbWqrXz88cfSyXH7DkJJSkqSTz75pGPqO9SYsV9DHMeOHXNkXYcyGAOzIJhhhgHfwRjtaT/BYKJnE7/++quabsCYLgR/42aeNgQbBQzvNg/Fx3BsrBA7duxQI5f8Ta+SlpYmt2zZopIDTE9hp+lVAi0bpltAzHjdbP/+/WpDgFGbvjAVx4oVK9QUFSj35ptvqmHumL7GLoKNG1OLFBUVqSTp4MGDqr6HDx8ub7jhhmbTq0yYMEFu27ZNDePv16+f7aZXCSZu7OQwCjUlJUV9B+bpFxCv3eob0yVgZ7Zq1SqV2M6cOVOtn8ZI6HvvvVfm5+d7Ta/SuXNntWPHNCPz5s3zO71Ka+u41YKNGzFh5HRJSYlXnRrbOtw/9dRTKglEe6+oqJAjR45U7cUOBy2hxo1tOw5uqqurZVVVlZw6dars2rWrmlrDKfUdbMyG6667To069eWUuq6rq/Psk5HoYSo0/I39NiBmxO47vUpeXp5atzGdkL/pVQJ9l+HERM8mMMQcDcj3tmHDhmbzhRlwBDh37lw5YMAA1WAyMjLkvn37ms1jhJ0pkkccQd9///1eyaOVWls2rPi+3wEgeRk8eLA6AvKF5A9TruAze/TooeZte+utt/yWdUrchw4dUkldnz59VD1j/jlsQMzz6EFNTY2cNGmS7Natm5pDLzc312saEqfFjXt/6wRuKGvH+sZ8WUOGDFGJDI7YMWegAWclsZ77Thdz6aWXqvKYjuHTTz/1er0t67gdBBP30KFD/dYpEl2or69XByw4UEHii/KYYywSO8COjHv27NmesqjPm2++Wf7444+Oq+9g2/jevXtV/ZaXlzf7LKfU9YYWtkVGrLhH7L7vwbYJ3xMOzM377rZ8l+EUhX/Cf0GYiIiIiKzGefSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4ioA/31118iMTFRvPLKK57nvv32W9GlSxdRWVlp6bIRkX6ipJTS6oUgInKTsrIycfvtt6sELykpSaSmpoqsrCyxZMkSqxeNiDTDRI+IyAI5OTmioqJCjBo1SuzcuVNs3bpVxMbGWr1YRKQZJnpERBZoaGgQycnJora2VlRVVYmUlBSrF4mINMQ+ekREFqiurhaHDx8WTU1NoqamxurFISJN8YweEVEHO3v2rEhPT1d989BH7/XXX1eXb/v372/1ohGRZpjoERF1sLy8PFFSUiK2b98uevbsKcaOHSsSEhLEJ598YvWiEZFmeOmWiKgDbdy4UZ3Be++990R8fLyIjo5Wf2/atEksW7bM6sUjIs3wjB4RERGRpnhGj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEhTTPSIiIiINMVEj4iIiEjo6f8tIdsONNcdsQAAAABJRU5ErkJggg==",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 1.04746453 2.09466627 3.14153418 4.188399 5.2357538\n",
|
||
" 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 4.999797344580875\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 0.89680577 1.79461604 2.69230295 3.58961474 4.4879636\n",
|
||
" 5.38591918 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 5.206903626576404\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 0.78574785 1.57141937 2.35536796 3.14089114 3.92706882\n",
|
||
" 4.71302233 5.49934121 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 5.359003436175853\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 700x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Optimal angles (radians): [0. 0.69852563 1.39640614 2.09468989 2.79342176 3.49154254\n",
|
||
" 4.18880895 4.88742344 5.58668458 6.28318531 6.28318531]\n",
|
||
"Maximum perimeter: 5.473854663395368\n",
|
||
"2 * pi = 6.283185307179586\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"from scipy.optimize import minimize\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"\n",
|
||
"\n",
|
||
"def polygon_perimeter(theta, n):\n",
|
||
" points = np.array([[np.cos(t), np.sin(t)] for t in theta])\n",
|
||
" perimeter = 0\n",
|
||
" for i in range(n - 1):\n",
|
||
" perimeter += np.sqrt(np.sum((points[i + 1] - points[i]) ** 2))\n",
|
||
" perimeter += np.sqrt(np.sum((points[0] - points[-1]) ** 2))\n",
|
||
" return -perimeter\n",
|
||
"\n",
|
||
"\n",
|
||
"def constraint_increasing(theta):\n",
|
||
" return np.array([theta[i + 1] - theta[i] for i in range(len(theta) - 1)])\n",
|
||
"\n",
|
||
"\n",
|
||
"def optimize_polygon(n):\n",
|
||
" theta0 = generate_thetas(n)\n",
|
||
"\n",
|
||
" constraints = [\n",
|
||
" {\"type\": \"ineq\", \"fun\": constraint_increasing},\n",
|
||
" {\"type\": \"eq\", \"fun\": lambda x: x[0]},\n",
|
||
" {\"type\": \"ineq\", \"fun\": lambda x: 2 * np.pi - x[-1]},\n",
|
||
" ]\n",
|
||
"\n",
|
||
" result = minimize(\n",
|
||
" lambda x: polygon_perimeter(x, n),\n",
|
||
" theta0,\n",
|
||
" constraints=constraints,\n",
|
||
" method=\"SLSQP\",\n",
|
||
" )\n",
|
||
"\n",
|
||
" return result.x\n",
|
||
"\n",
|
||
"\n",
|
||
"def plot_perimeter(n):\n",
|
||
" optimal_angles = optimize_polygon(n + 1)\n",
|
||
" plt.figure(figsize=(7, 7))\n",
|
||
" t = np.linspace(0, 2 * np.pi, 100)\n",
|
||
" plt.plot(np.cos(t), np.sin(t), \"k--\", alpha=0.5, label=\"unit circle\")\n",
|
||
"\n",
|
||
" points = np.array([[np.cos(t), np.sin(t)] for t in optimal_angles])\n",
|
||
" points = np.vstack([points, points[0]])\n",
|
||
" plt.plot(points[:, 0], points[:, 1], \"b-\", linewidth=2, label=\"optimal polygon\")\n",
|
||
" plt.scatter(points[:-1, 0], points[:-1, 1], color=\"red\", label=\"vertices\")\n",
|
||
"\n",
|
||
" plt.legend()\n",
|
||
" plt.axis(\"equal\")\n",
|
||
" plt.grid(True)\n",
|
||
" plt.title(f\"Optimal {n}-sided Polygon Inscribed in Unit Circle\")\n",
|
||
" plt.xlabel(\"x\")\n",
|
||
" plt.ylabel(\"y\")\n",
|
||
" plt.axis(\"equal\")\n",
|
||
" plt.grid(True)\n",
|
||
" plt.show()\n",
|
||
"\n",
|
||
" print(f\"Optimal angles (radians): {optimal_angles}\")\n",
|
||
" print(f\"Maximum perimeter: {-polygon_perimeter(optimal_angles, n)}\")\n",
|
||
" print(f\"2 * pi = {2 * np.pi}\")\n",
|
||
"\n",
|
||
"\n",
|
||
"for n in np.arange(3, 10, 1):\n",
|
||
" plot_perimeter(n)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Projection on convex sets $K=\\{x\\in\\R^d, Cx\\leq b\\}$\n",
|
||
"\n",
|
||
"Let compute the projection of a point $x_0$ on the convex set $K=\\{x\\in\\R^d,\n",
|
||
"Cx\\leq b\\}$, where $C$ is a matrix and $b$ is a vector. The projection is\n",
|
||
"defined as: \n",
|
||
"$$\n",
|
||
"\\Pi_K(x_0) = \\arg\\min_{x\\in K} \\|x-x_0\\|^2.$$\n",
|
||
"\n",
|
||
"1. Define the projection operator when $C=\\mathrm{Id}$ and $b=0$. We denote by $\\Pi_{\\mathbb{K}_-}$ this projection operator. \n",
|
||
" How can you compute it using Python?\n",
|
||
"2. Write the KKT conditions for the quadratic optimization problem when $K=\\{x\\in\\R^d, Cx\\leq b\\}$: \n",
|
||
" $$\n",
|
||
" \\min_{x\\in K}\\left\\{ \\frac12 ||x||^2-\\langle x_0,x\\rangle\\right\\}.$$\n",
|
||
" How is it related to the projection operator?\n",
|
||
"3. Show that, for all $\\tau>0$, we have \n",
|
||
" $$\\forall \\mu\\in\\mathrm{K}_-, \\quad\n",
|
||
" \\langle\\lambda^*-\\mu,\\lambda^*-(\\lambda^*+\\tau(b-Cx^*))\\rangle\\leq 0.$$\n",
|
||
" Express this condition in terms of the projection operator\n",
|
||
" $\\Pi_{\\mathbb{K}_-}$.\n",
|
||
"4. Implement Uzawa’s algorithm to compute numerically the projection operator on $K=\\{x\\in\\R^d, Cx\\leq b\\}$:\n",
|
||
" $$\\lambda_{n+1}=\\Pi_{\\mathbb{K}_-}(\\lambda_n+\\tau(b-Cx_n)),\\text{ then }\n",
|
||
" x_{n+1}=C^T\\lambda_{n+1}+x_0.$$\n",
|
||
"5. You can adapte the code of the first exercise to use the projection operator. "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 30,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Initial point: [ 2 -1 3 0 -5]\n",
|
||
"Projection of x0 onto K: [ 0 -1 0 0 -5]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"x0 = np.array([2, -1, 3, 0, -5])\n",
|
||
"\n",
|
||
"\n",
|
||
"def K(x):\n",
|
||
" return np.minimum(x, 0)\n",
|
||
"\n",
|
||
"\n",
|
||
"print(f\"Initial point: {x0}\")\n",
|
||
"print(f\"Projection of x0 onto K: {K(x0)}\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Question 2**: KKT Conditions\n",
|
||
"\n",
|
||
"First, let's identify the components:\n",
|
||
"\n",
|
||
"Objective function: $f(x) = \\frac{1}{2}||x||^2 - \\langle x_0, x \\rangle$\n",
|
||
"\n",
|
||
"Inequality constraints: $g_i(x) = (Cx - b)_i \\leq 0$ for $i = 1, 2, ..., m$ where $m$ is the number of rows in $C$\n",
|
||
"\n",
|
||
"The Lagrangian is: $$L(x, \\lambda) = \\frac{1}{2}||x||^2 - \\langle x_0, x \\rangle + \\lambda^T(Cx - b)$$\n",
|
||
"\n",
|
||
"The KKT conditions are:\n",
|
||
"\n",
|
||
"- Stationarity: $\\nabla_x L(x^*, \\lambda^*) = 0$ $$x^* - x_0 + C^T\\lambda^* = 0$$ $$\\Rightarrow x^* = x_0 - C^T\\lambda^*$$\n",
|
||
"- Primal feasibility: $Cx^* \\leq b$\n",
|
||
"- Dual feasibility: $\\lambda^* \\geq 0$\n",
|
||
"- Complementary slackness: $\\lambda_i^*(Cx^* - b)_i = 0$ for all $i$\n",
|
||
"\n",
|
||
"The original projection problem is: $$\\Pi_K(x_0) = \\arg \\min_{x\\in K} ||x-x_0||^2 $$\n",
|
||
"\n",
|
||
"This is equivalent to: $$\\arg \\min_{x\\in K} \\frac{1}{2}||x-x_0||^2 = \\arg \\min_{x \\in K} \\frac{1}{2}||x||^2 - \\langle x_0, x \\rangle + \\frac{1}{2}||x_0||^2$$\n",
|
||
"\n",
|
||
"Since $\\frac{1}{2}||x_0||^2$ is a constant that doesn't affect the minimization, this is equivalent to: $$\\arg\\min_{x\\in K} \\frac{1}{2}||x||^2 - \\langle x_0, x \\rangle$$\n",
|
||
"\n",
|
||
"Therefore, the solution $x^*$ to our KKT system is precisely the projection of $x_0$ onto $K$, i.e., $\\Pi_K(x_0) = x^*$.\n",
|
||
"\n",
|
||
"From the stationarity condition, we have: $$x^* = x_0 - C^T\\lambda^*$$\n",
|
||
"\n",
|
||
"This shows that the projection is obtained by shifting the original point $x_0$ by $C^T\\lambda^*$, where $\\lambda^*$ are the optimal Lagrange multipliers that satisfy all the KKT conditions."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## The polygonal isoperimetric inequality\n",
|
||
"\n",
|
||
"Given an perimeter constraint $L$ and a fixed number of sides $N$, what is the polygon with $N$ sides that maximises the enclosed area? We represent a polygon in $\\R^2$ by a collection of point $\\{(x_i,y_i)\\}_{i=1,\\dots,N}$, ordered in a counterclockwise fashion.\n",
|
||
" We admit that the area of this polygon is given by \n",
|
||
"$$A=\\frac12\\sum_{k=1}^N (x_ky_{k+1}-y_{k}x_{k+1}).$$\n",
|
||
"\n",
|
||
"\n",
|
||
"You must enter as parameters the number of sides of the polygon you seek and use whichever algorithm you see fit (typically, a Uzawa method).\n",
|
||
"\n",
|
||
"Plot your results graphically."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## The obstacle problem\n",
|
||
"\n",
|
||
"Let $g$ be a given continuous function on the interval $[0,1]$. We consider an \\textit{obstacle problem}: find a function $ u: [0,1] \\longrightarrow \\mathbb{R}$ such that:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"\\left\\{\n",
|
||
"\\begin{array}{ll}\n",
|
||
"-u''(x) \\geq 1 & x \\in (0,1) \\\\\n",
|
||
"u(x) \\geq g(x) & x \\in (0,1) \\\\\n",
|
||
"\\left( -u''(x) - 1 \\right)(u(x) - g(x)) = 0 & x \\in (0,1) \\\\\n",
|
||
"u(0) = u(1) = 0 & \\\\\n",
|
||
"\\end{array}\n",
|
||
"\\right.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"The first equation represents a minimum concavity for the function $u$, the second equation represents the obstacle: $u$ must remain above $g$. The third equation expresses the fact that we must satisfy at least one of the two previous equations with equality: either we solve $-u''(x) = 1$, or $u(x) = g(x)$, and we are on the obstacle."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"\n",
|
||
"### Associated minimization problem\n",
|
||
"\n",
|
||
"We discretize this problem by introducing a uniform mesh: $x_j = jh$, where $h$ is the step size of the mesh, and $j \\in \\{0, \\dots, n+1\\}$, with $n \\geq 1$ an integer and $h = \\frac{1}{n+1}$. Let $ g_j = g(x_j) $ for $ j \\in \\{0, \\dots, n+1\\} $. We seek values $ u_j = u(x_j) $ for $ j \\in \\{0, \\dots, n+1\\} $ such that:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"\\left\\{\n",
|
||
"\\begin{array}{ll}\n",
|
||
"\\displaystyle -\\frac{u_{j-1} - 2u_j + u_{j+1}}{h^2} \\geq 1 & j \\in \\{0, \\dots, n+1\\} \\\\\n",
|
||
"u_j \\geq g_j & j \\in \\{0, \\dots, n+1\\} \\\\\n",
|
||
"\\displaystyle \\left( -\\frac{u_{j-1} - 2u_j + u_{j+1}}{h^2} \\right) (u_j - g_j) = 0 & j \\in \\{0, \\dots, n+1\\} \\\\\n",
|
||
"u_0 = u_{n+1} = 0 & \\\\\n",
|
||
"\\end{array}\n",
|
||
"\\right.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"Recall that $ -\\frac{u_{j-1} - 2u_j + u_{j+1}}{h^2} $ is the finite difference approximation of $ -u''(x_j) $.\n",
|
||
"\n",
|
||
"We introduce the matrix $ A \\in S_n(\\mathbb{R}) $, defined by:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"A = \\frac{1}{h^2} \\left( \\begin{array}{ccccc}\n",
|
||
"2 & -1 & 0 & \\dots & 0 \\\\\n",
|
||
"-1 & 2 & -1 & \\vdots \\\\\n",
|
||
"0 & \\ddots & \\ddots & \\ddots & 0 \\\\\n",
|
||
"\\vdots & & -1 & 2 & -1 \\\\\n",
|
||
"0 & \\dots & 0 & -1 & 2\n",
|
||
"\\end{array} \\right).\n",
|
||
"$$\n",
|
||
"\n",
|
||
"We also define the column vectors $ b $ and $ g $ of $ \\mathbb{R}^n $ as follows:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"b = \\left( \\begin{array}{c}\n",
|
||
"1 \\\\\n",
|
||
"\\vdots \\\\\n",
|
||
"1\n",
|
||
"\\end{array} \\right), \\quad g = \\left( \\begin{array}{c}\n",
|
||
"g_1 \\\\\n",
|
||
"\\vdots \\\\\n",
|
||
"g_n\n",
|
||
"\\end{array} \\right).\n",
|
||
"$$\n",
|
||
"\n",
|
||
"Recall that if $ u = \\left( \\begin{array}{c} u_1 \\\\ \\vdots \\\\ u_n \\end{array} \\right) $, then\n",
|
||
"\n",
|
||
"$$\n",
|
||
"u \\text{ is a solution of (2)} \\Longleftrightarrow u \\text{ is a solution of } \\left\\{\n",
|
||
"\\begin{array}{l}\n",
|
||
"\\displaystyle \\min_{v \\in K} \\left\\{ \\frac{1}{2}(Av, v) - (b, v) \\right\\} \\\\\n",
|
||
"K = \\{v \\in \\mathbb{R}^n : v \\geq g \\}\n",
|
||
"\\end{array}\n",
|
||
"\\right.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"We define the function $J$ on $\\mathbb{R}^n$ by:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"J(v) = \\frac{1}{2} (Av, v) - (b, v).\n",
|
||
"$$\n",
|
||
"\n",
|
||
"### Problem Resolution\n",
|
||
"\n",
|
||
"Consider the specific case where $g(x) = \\max \\left( 0, 1 - 100(x - 0.7)^2 \\right)$.\n",
|
||
"\n",
|
||
"We want to solve this problem using the projected gradient algorithm. Denote by $\\Pi_K =\\{v\\geq g\\}$ the projection onto the convex set $K$. Without proving it, we can use the fact that:\n",
|
||
"\n",
|
||
"$$\n",
|
||
"\\Pi_K(v) = \\left( \\max(v_i, g_i) \\right)_{1 \\leq i \\leq n}.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"1. Write a gradient method with a fixed step size to find the minimum of $J$ over $\\mathbb{R}^n$. Test this method and verify that it converges to the desired result.\n",
|
||
"2. Adapt the previous program to implement the projected gradient method with a constant step size. For instance, you can choose the optimal step size $\\rho_{\\textrm{opt}} = \\frac{2}{\\lambda_1(A) + \\lambda_n(A)}$ of the gradient method without constraints. Also, don't forget to set a maximum number of iterations and a relevant stopping criterion.\n",
|
||
"3. Test the program for different values of $n$. Represent the graph of the solution and the graph of the obstacle on the same plot. Verify that if $u(x) \\neq g(x)$, then $-u''(x) = 1$ (using the finite difference approximation).\n",
|
||
"4. Implement the Uzawa algorithm to solve this problem and compare the efficiency of the methods implemented. Test with different choices of obstacles.\n"
|
||
]
|
||
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|
||
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|
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|
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|
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|
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|
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