{ "cells": [ { "cell_type": "markdown", "id": "03deaaa2", "metadata": {}, "source": [ "## SciPy's `solve_ivp` (For Comparison)\n", "As of CyRK v0.13.0, on a mid-tier desktop the following timings were found:\n", "\n", "- SciPy.solve_ivp : 13.5 ms\n", "- CyRK.nbsolve_ivp: 0.119 ms\n", "- CyRK.pysolve_ivp: 0.605 ms\n", "- CyRK.cysolve_ivp: 0.048 ms" ] }, { "cell_type": "code", "execution_count": 1, "id": "c12341b6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CyRK Version: 0.17.0\n" ] } ], "source": [ "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "import matplotlib.pyplot as plt\n", "from numba import njit\n", "plt.style.use('dark_background')\n", "\n", "import CyRK\n", "print(\"CyRK Version:\", CyRK.__version__)\n", "from CyRK import nbsolve_ivp\n", "from CyRK import pysolve_ivp\n", "\n", "# Hack the cython magic so that it can set the correct C++ standard.\n", "%load_ext Cython" ] }, { "cell_type": "markdown", "id": "43fda16b", "metadata": {}, "source": [ "## Hack IPython Magic\n", "In order to make this notebook work across platforms without changes we need to hack the cython cells to include some additional header information. This is done using the script `jupyter_cyhack.py` file contained in the same directory as these demos. Hopefully it works fine for you, but keep in mind that the hack below is required to get these cells to work. So if you are making your own cythonized notebook you will want to see what headers should be included for your operating system." ] }, { "cell_type": "code", "execution_count": 2, "id": "07ac3112", "metadata": {}, "outputs": [], "source": [ "from Cython.Build import IpythonMagic\n", "\n", "from jupyter_cyhack import build_hack\n", "\n", "# Get the current cython Ipython parser.\n", "original_cython_parser = IpythonMagic.CythonMagics.cython\n", "# Apply hacks to headers and compile lines.\n", "patched_cython_parser = build_hack(original_cython_parser)\n", "# Patch it in\n", "IpythonMagic.CythonMagics.cython = patched_cython_parser\n", "# Reload\n", "ip = get_ipython()\n", "ip.register_magics(IpythonMagic.CythonMagics)" ] }, { "cell_type": "code", "execution_count": 3, "id": "50275b32", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "2dd92e77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "13.5 ms ± 1.05 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%timeit solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)" ] }, { "cell_type": "markdown", "id": "16ae4fba", "metadata": {}, "source": [ "## `nbsolve_ivp` Example" ] }, { "cell_type": "code", "execution_count": 5, "id": "c8e974e4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DEPRECATION WARNING! This version of `nbsolve_ivp` will be deprecated in a future release in favor of the current `nbsolve2_ivp` (names will be swapped). These two functions are quite different so please review the documentation at https://cyrk.readthedocs.io/en/latest/Numba.html before upgrading.\n", "IMPORTANT!! Printing this warning is slowing down your integration! Disable it by setting `warnings=False` in `nbsolve_ivp`.\n", "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@njit\n", "def diffeq_nb(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " nbsolve_ivp(diffeq_nb, time_span, initial_conds, rk_method=1, rtol=rtol, atol=atol)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "id": "1ba72bdb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "119 μs ± 31.7 μs per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%timeit nbsolve_ivp(diffeq_nb, time_span, initial_conds, rk_method=1, rtol=rtol, atol=atol, warnings=False)" ] }, { "cell_type": "markdown", "id": "f59b7f6b", "metadata": {}, "source": [ "## `pysolve_ivp` Example" ] }, { "cell_type": "code", "execution_count": 7, "id": "77897175", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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OQNhEwY0Zu3gAIJFIYPfu3diyZQtuu+02bN26FV/5ylfQ09MDABOUkObmZl5V6enpgcfjQW1tbcH35EM8Hkc4HM56mQ2F88hWjYLyr4dRmD9p5C2SZY2My+Hgv28V+PIUyXKtk9bbGxMVA8C6Z8WXp0gWsC6hz1uDYpChl6pbZ2w2GzweD/bu3Yvu7m6sXbuW/57L5cKaNWuwceNGAMCWLVsQj8ez3tPa2opFixbx77EqSsm0VjMyhY2uMXKnpJFPMRBPUbXS/nA57PxttbTjrbRiYLXgxpOnSBawrvqar57PKHZUVth155134tlnn8XBgwcRCARw0UUX4YQTTuBnodx///247bbb+C6f2267DZFIBL/73e8AAKFQCI888gjuueceDAwMYHBwEHfffTe2bduGF154gfxvZyAUkmmtWgjpc3Kj7gsYXcvJ1hNl2kwGCEVjCHo9CHrcODwWqdTjlRVitSh/ykvfRpc0SqqvFrvHy5dnXANgHKdMGp4iHYDcPW/iIW56giyC0tLSgl//+tdoa2vDyMgI3nvvPZx++uk8ufjhD38In8+Hhx56CHV1dXjjjTdw6qmnYnR0lP+Mm266CclkEk888QR8Ph82bNiAq666CmlRYagVUUgxGLWsLDnRIQPWvY+ncFdTHEGvx1JO2SciKLE8HW9Wi5BL169ZZ28A+TveACuneJj1ECtK44kkkqk0nA47gh63OQjK5z73uZLvueOOO3DHHXcU/H4sFsMNN9yAG264Qc4/bXoUioIsm+LJ07UCUCdE10NUn5TINqpWTfF4XJwDyl+DYj2HTM+KGAUVtngcdT4vgh4PusNjlXi0krD2+FYdodQsAytFyADNq+cin0wLWDMFWKoo1OVw8IPcrIBCRaFWdcilFCUrnRVAim/R73pQgqIT5JtzAVh3GmThSnxrRsk+WkTNo1C6K7to2DoElrbVZiNfxxsgjP630nrYbTa4CxB6Iww2pARFJ/AUOlQx7lDpdxNpgXxdK4A1HTJQuCZn1IKD6wp1vGUy1lQNqGKQjUIKW9iC6yEuKC/Ydq3j4JcSFJ2gVFttldsFp4UuVPQWiJIFI2MdhwyI6y6ogiLctZKa8D0rOuV8o90Ba5I1oLAabc2zIqQ6Y6lC66FfW2odj6dz+Nj7IfIVMnGwktHNV3kOGCNvShrZMi1NeeUb0sbBimkNj5MWyYpRmMxbr6uJW4tEKoVUOntaOx/s6XhkAyUoOkEhCT+RSvPdClZyQrQSX0D23I9c2dp6KZ5CaiNg1Si5eIrH43TC7bBO0XBB22GQG3xJgm+5ziFrgDFsKSUoOkGholBAqEPRc66QNEqP/rfQWrjyDyYDqEPOhRVvuy5kO0ZFsy2suD8KKUpWWgtOmS9O5vUb3FCCohMUGs8MWDOvXrpIVr+HijS4KCieTCGdc6mmJfdGgfokwJqThgsRtnQmww96tJJTLjyojTkr1RYir54CyjxgjGCPEhSdoFChG2DNvLrghPIP4/K7XXCw97GYHcUUAytOGi5WJGvJsyIp5WWd9ShUJDtqwTZjo6uNlKDoBIUUA8Ca0qS3QOGfuGjYKpFQoXQXYE0HJETIE4tkLXlWCtzjBViztVZIa9CC8kLzkwBjnBVKUHSCQkWygGBkqnW8kUijEPO3YtFwoSmygDGMDGkUugwOsKZDLh4lW0thExcDF2rJ97qsUzRcTF0zQoE9JSg6gYc9MPFUno0Ut54T4hWUfOsRs5ZUW6jlGrC2Q84/B8WKipKxo2SSEBeU59oOziED1jkvxfYG7eKhkAw3NbpZ4CIcOoyr8JwLwJp7gyPzRRUDt6usz1RJcOuRn8xba7ChR6SM5J4XKxYNF7cd+rejlKDoBLyCUlSK0+9GIgmH3QYHOzU3v9G1mJFxMOQ1n7rGOWS/2wW7zRpFw9zQukQRhxz0WsMhA8WdEHf/TI1F1sPjLGxHAespStxZyavMGyC4oQRFJ3A7CjtkqxV3cQ4ZKGR09X+wSMJTNN1lPdnaXVQx0P/9IqQhbT2soSgVWwtAuLvKKgX2nC0tZkcDHv3uDUpQdAKPhNZJqzggT5H7IwBhPfyWMbosec2zN+KpFB8tWsUpe4qk/zjFwCpnBRCpBnmcMueQ/ZbbGxPtBmBdW1rMjvpc+h3ZQAmKTiDkkfPMumCNrnVYP7MW6XRmwv0RgPgGX6usB0teS0SFllmPIoqS1SJkQFANaHpYSGkUPivWmsotNF+kJ3wv6543na4HJSg6QbE8stWGcbmLkDXAejI+n0cuFBXyBNYailIx2Zo7K1ZZC6BEkWzcWmelmLoGiAisRWypp0gHYCKV5r+uV99CCYpOUDSPHLeW0S1G1gDryfiChD8xCgLETtla65FXtraYmgSUKJKNWcshc3Y0XwE1IFoPi9jS0jU5+laUKEHRCYpVn4et5oBKHSrLrkchBcVaTpl3Qsk8sjW7Nxx2e9ZMDDODr1/Ll/KyWJFssfQfYN2zUqirSe/1fJSg6ATFBrVZrcbAXUJBGTVA9TlJFJsJA1gw5VWEwI6J7m6ywnqIJ6Lmtx0WUxvpWclCsQJqQP++hRIUnaBYFMRNTrXMoSqhoFgur16y8M9aMn6xvHomY63C0KyOtyKtpJbp4iliRwELnpVStlTnhI0SFJ2gGPPnDlWVRW7w9RQZxAUIsrVljG7Jwj+LRsmlokIL7A+xgpK3A1DnDog0irXkA/qvuSCNYuMrAP2nvChB0QHsNhucRQa1We0GX8kpDZ0eKtIoNjkVsN4wrlJF1KM6z6uThEdUFJqZ2JFviGFcJOEuMnUZsKDtKOJXAGCUVef1qihRgqIDZEVBeWTrWDLFOycrVJ+XTvFYLAqSOAfFKoqSu0i9FqD/qJAkSna8GWAYF0mUrLmwEHkFpLdd69WWUoKiA2RPTjVmrpAkSsmSQh7ZIkZGohOygkMGSrdOWqlmS2q9FmCR9Sg5osA6dhQQLqEtReb1GvhSgqIDiG/gTBSYdcEP47KAEyrVVmvZvDotGgZQ+kI4KxVCllIMEqm0cBWCFdZDalGoBdYCKH4JLSAa2aDT9aAERQfgjEw0kd8hA9Zyyu4SDshKEj5Q/DZjwHrDuKgTEuAqIeED4ijZ/Osh1K8VnxlkhbUAZMyF0el6UIKiA5QyuIC1nHKpyaniYVxep/mHcZWSrcf4mhx9yrSkUbJIVudGlySKzU/iYKXpqaVsx5jFOt5KEraYvteDEhQdwFMiTwhYy+iWuosnaxiXTg8WSUidBmmFtQDERcP0bqJSZA3Q/zAukpCqrllhbwDFLwsE9D+VmxIUHaBUWy2g/1whSZSqPM8axmUBQ1Ps7hnAWsO4nHY77Gw3Skmja4mzUrzDC7BWgX3pizWtdRWC1CGPeiWvlKDoAKU2EWDRqFCKoqTTg0USJVsFreSAslryjZlXJ4lSRbKAtdLDpTq8xuIJpNPMwBgr7A/pNTn69CuUoOgApSR8wFoyfimHDOhfmiQJdwmZ1krDuLJb8gvl1a1zVkpNTgWEugtrKEo05SVGySJZndtRSlB0gFJttYCodVKnG4kkSvXuA9aKCkumeCw0jIs7K6l0Gql0ntGpsBZ5lZPiscR6SFKjraOw8Td/F0qH6rxomBIUHUBKoZuVokJpnQlcyss661HqfhHA/EaXFoVmo1TNBSB2yBZQ2Eq05ANWVZRKqI06tRuUoOgAstqMdbqRSEKKbG2labLuEje0xlMpywzjkkReab1WFixVNCwn2LOALZU6B8XrcsJp1x8d0N8TWRCSokKdX+pEEqWuTAcsZmSk1ChZJAVYqggSsFhKQxJhs85ZcbHBjbSzYgUCK+3aEECfwQ0lKDqAW0Il/qiVDlUJWRKwmIzPGV06jIs/KzTFw0DKiAK9D+MiCSk1OVZRlLI63opchcDZWT0SWEpQdAApeVNLKQYy2q6tsR4SjK5FnLKkdKhFyBogryXfEoqSs3RwY5UCey6wAYwb3FCCogNIqbngZUmTHypA3Hadv/IcsE4UBEhrnbQKgS11USCQPYyryqU/o0sS8lryzb0WQOnJqYCVzoowiK64b9Fv+QAlKDqAlLy6FYdxxYu0XVslr2632eCUkOLRe7sgKUhRGyNZVyGY2ylLSQ9bRTEASl+TAejbIZMER9aSqTTSmfwt+YC+fYssgnLLLbfgzTffRCgUQm9vL5588knMmTMn6z2PPvooMplM1mvTpk1Z73G73XjggQfQ19eH0dFRPPXUU+jo6FD/2xgUbjmFbiY3uIC45qJ0FGT2qFBKHhkQdzXpz8iQhJR6nOyrEMy+HnIuCzT3WgBiwlbYdoxZpO1ayt4A9E1gZRGUNWvW4MEHH8SqVauwdu1aOJ1OrF+/HlVVVVnve/bZZ9Ha2sq/zjzzzKzv33///Vi3bh0uuugiHHvssaiursYzzzwDuw7bnMoBKRuJi5CtMIxL0npYJMUjP49s9vUorTYCFlyPokXD1lDXAKlFw1bZG2zpQImzoueLaGXdlnTGGWdk/f3qq69GX18fli9fjldeeYX/eiwWQ29vb97PCAaDuOaaa3D55Zdjw4YNAIDLLrsMBw8exCmnnIL169fL/R0MDzmKAcBspOFoTPPnqhSkETb9HiqSECso0lpJaVQIWElRkq6gmP2sAIItTdCUl/SzouMRFqoki5qaGgDA4OBg1tdPOOEE9Pb2YufOnXj44YfR1NTEf2/58uVwu91ZRKS7uxvbt2/H6tWr8/47brcbgUAg62UmuPhxxIU3kngYl/mZv/RhXFYxMolUCkXSyJZRlFwSiiAB6zhlKSmvUZ0P4yIJWeqryfeGS2aKR4/pclW79d5778Urr7yCHTt28F979tlncemll+Kkk07C1772NaxcuRL/+te/4GY3Q2trK2KxGIaHh7M+q7e3F62trXn/nVtvvRWhUIh/dXZ2qnls3cEMuUKSkFeDYva1kOiQraIoOUtHyIB1arak7I+wzodxkYQ0RckqwU1pOwro+xoVWSkeMX76059i8eLFOPbYY7O+/sQTT/B/3rFjBzZv3oz9+/fjrLPOwpNPPlnw82w2GzIFQsS77roL9957L//3QCBgKpIiJQoCmI3UUOXTJdMlCZekvLp+DxVJSN0bVqkzkErmrXLfipT14IZxeZxOVLtdGBqPluvxyg5JwY3F0qGlyLye5+QoUlAeeOABnHPOOTjxxBNLEoWenh7s378fs2fP5v/u8XhQW1ub9b7m5uaCdSvxeBzhcDjrZSZIjZKt45RLHyyrdfFIIa+APo0MSchdD7MrSi4JNReAddbDI+EmdFqflA09KyiyCcpPfvITnHfeeTjppJOwb9++ku+vr6/H5MmT0d3dDQDYsmUL4vE41q5dy7+ntbUVixYtwsaNG+U+jilAjW42JI12Fw3j8rkUC4G6h9Q8slWGcUkZaghY726i0ilA8ytK4voaWoMiJ/DV71RuWZb9wQcfxCWXXIJzzz0X4XAYLS0tAICRkRFEo1H4/X58+9vfxp///Gd0d3dj2rRp+N73vof+/n4+vRMKhfDII4/gnnvuwcDAAAYHB3H33Xdj27ZteOGFF8j/hgaA9M4EKuNzyBrG5XZjPFF4MJORITmPbDF1TWpe3cwOGZDTqWH+4Ca74610iscqZF5ycKPDei1ZBOVLX/oSAODll1/O+vpVV12Fxx9/HKlUCkcccQSuuOIK1NbWoru7Gy+++CIuvPBCjI6O8u+/6aabkEwm8cQTT8Dn82HDhg246qqrkE4XNzpmhfQ6A2Yj+U1sZABpTogbxhXwuBHwuHF4LFKuxysrpOaRaYonG6MWqzOQvB4mJmzSZwYxwQ13FYI42DET5DZf6NF2yCIoNlvxAWHRaBSnn356yc+JxWK44YYbcMMNN8j5500Lvs24yN0zgL5zhSQhJ+UV8LgtERVSdY2BlJZ8wEpnRWKBvQW6vMQKSrJIsBtJJJBKp+Gw2xHwUIKi59IBczfFGwSy24xNHBU67DbY2Um5dBiXggJqHRoZkpDd1WT69ZC4P1jVwK9DGZ8UhCmypdO9VtgfLr4lX1p6WI92lBIUHUB+rlB/G4kUpOaRAX0zf1KQ04IOmH8Yl3SHbP6zAsgfxmWNs1K6VMAKwY2UizUBcX2S/sireS2ZgUCHcQmQOtodsEaxm1x1DaDrAeg7r04ScgmsmVNeUvcGYI1OHjPMUKIERQegdQYCpOaRAWsM45K6N7hhXIDZ94dMh2xisgaIi6ilpQDN7ZBLD3jkELZAikdu4OtxOvm5OnqBvp7GovA45RUzmdvIcHMuSueRrRAVSs0jA1ZJeckzumYmrwDt4hFDaroLENsO8xJYuUWygP58CyUoOgAdxiVAqgMCrJXykmR0qaLEwwpzPwA5TsgKioG0qbqANWpQpCpKyXQaUXaOlN72ByUoOgAdxiVAlkO2QCGknPUYswBhk0zmObJm4rUA5BfY+2lwA8AqaqO0vQHo17dQgqID0GFcAuQcKisM41JkdHVmZEhCapTMGVy73WZap2yziQkbDW5kFclaYD2kzgwC9Hu3GSUoOgAtkhXg5lvjpDtkStgYWKurqXQBdTrN3I5u1vVw2WV0vFHFIAtcOtTMU7nlBDd6JWyUoOgAcu8XoUaGgTUIm5zWSVqDIobZh9dJHe0OWKNoWEmbsbnVVwW2VGdnhRIUHUDuXTxmHsYlNd0FWGWWgZwiWXM7ZEChomRSpyxuyS/V5TXGOyAzO2QFBfYm3RuAwno+ndkOc3o5AyE7jyx9GJdZD5Yih2zStQDEeWRagwIojZLNuR7ceIJkKo10JlP0vXRvZMMaarR8tVFvZJ4SlApDTh5ZPIzLrHl1OeOqrTCMS0nRsN6iIJKQl1c3dwpQCZnX4zAuUhBmBslQX026NwClBfb6sqXm3KkGQnYembbHKTG61jAytDMBkDmMy+QpLyWKAWBeAquIvJp0LQCFbcY6Ww9KUCoMOXfPAOYfxkUl/GzIi4K42R/6ioJIQtYwLm72h86iQlKQszf0PIyLFDxKghsTnxU5bcZ6VZQoQakwOCMjJY8MmN8pK4mCzBoRAjJTPDotdCMJOmlYgEvG3gDMX7Ol6LJAk64FIFd91aeiRAlKhSFnEwHml/G5PHJcyl08omFcVS5zRkLyLkAz994AFBZCmnQ95NsOcytstOMtG7Lq+XRav0YJSoUhJ0IGzH+w5ETI4mFceivuIgXamZANJcO49GZ0SUFOSz4gUl9NS9jkF9ibdW8AShUlfdlRSlAqDDkOGRCGcZk/ry5TUTKpoZHjhGjRcDbGTK4oyXHIgH6jZFJQoqCY+SoEMwQ3lKBUGHIdsnUUFHnrYVanLM8hm3sYl91mg8OupA2d7g3A/Oshpyh0PJFEKs3sIbOuhxkG11GCUmHILnSzjEwrU7Y2rZGhsjUH+R1v5u7UUKo2mp/MS1SjTT4nR45v0avtoASlwpCdR7aMTCvPyJh/PaQ7ZLNehSDn7hnA/J0acs+KXodxkYLsej6uDZ0SWEF91dlZMZ8VMxiUGxl9bSRSUJzyMq3RVTaMy4z7w+N08n+WNvpfn62TpEAL7LNB69eyoaR+TW9rQQlKhaG0VVBvG4kUXDIGcQE0ShbD7MO4eIcsoeUa0G9enRTkTNUFhCjZ/GeFpssBZelht9Ohq6sQ9PMkFoXSmgu9tYORgmxFSafMnxToMC4Bssm8TvPqpKDUIZt3PZR1NZnVdihJDwP6Wg9KUCoMpQ7ZvEaGRkFi0GFcAuhQw2zQFE82qKKUDTnnJZXOYDyhvzoUSlAqDNoqmA35NSjWKJKVnfIy4XoojZD9LhdsNs0eq2KQP0PJGuqr1LNi+uDGKbe+UX/lA5SgVBhyWb/5537IiwrpMK5smDnFI/ussAbXrFch0OAmG8rVaPPtDZfMjjdAn23olKBUGG6nsqJQsw7jUtrVZEYjA1AnJIbctYgkEqYexqW84818awGoqOcz8d4AjN3VRAlKhUGHC2WDTtbNBh3GJUCQ8KWdFcDc50W2Q7ZIOpQSNmUERY/BHiUoFYbSQ+VxOnXVDkYKimsuTGhkACV5ZPPOhZHrkAFzd664ZBK2UR06IJKgaqMA7qyk0xmk2AtVSyGsw6Jh83k4g0Hp9EPAnEZXfopHf4VdpKAsj2ze9ZDrgABz1yhRxSAbcuu1zK2uMXsjlkpK/hk93nZNCUqFIdchW2YYFzW6qvLIflPuDfkEJWzqtmtlwY1Z1Ve5RdRWqEGR6lcAfabLzbdLDQZlRtf8Tll2zYWODhUpqMkjm3NvyIuQAbPL+Mq6VgCzr4fMjkhTklf5fkWPc4MoQakw5NZcAPosZiIF5dNCzbgWSvLIVnDI8o2unvLqpCB3PfQ6jIsU5BZRW4PMyzgrOlSUKEGpMMzCdElB6dwPPR0qUlC0N0w8jMulgsyb86wosR1mrlGS29VkXtvhUpTi0V86lBKUCkOJbG1mI6NmGJfZrk1XlP6zQEojpiQdasr1UN7VZLazAtBrMsRQo8zraT0oQakw1DghKlubexiXqgjZlHtDgWytw9ZJUuAVpaSc4EZ/TogUlF6TEfC4TXcVAk3xUBCBqry6jjYSKfDrkaROWVFRqCW6eGQ4ZFPXKFGFjYPdZoNTdpuxUDTsN9lVCGZpvqAEpcJQ1A5Gh3FlwayETW66CzD3VQiqjK7J9gagMMVjUkVJScfbeCLJq69msx2KyLwOz4osgnLLLbfgzTffRCgUQm9vL5588knMmTNnwvtuv/12dHZ2IhKJ4MUXX8SCBQuyvu92u/HAAw+gr68Po6OjeOqpp9DR0aHuNzEolBkZ/W0kUqBRsgCzREGkoEoxoOsBQJ/DuEjArWCoIWDe/WGW0gFZBGXNmjV48MEHsWrVKqxduxZOpxPr169HVVUV/56bb74ZX/3qV3H99ddj5cqV6OnpwfPPP4/q6mr+Pffffz/WrVuHiy66CMceeyyqq6vxzDPPwG63nqCjJkrW00YiBSUHK8SuR9Bk66GmCNLjdGZFlWaAqjkoJtsbgLphXOY7K8Jel3NXU8ik+0ON7dDT3nDKefMZZ5yR9ferr74afX19WL58OV555RUAwI033og777wTTz75JADgyiuvRG9vLy655BI8/PDDCAaDuOaaa3D55Zdjw4YNAIDLLrsMBw8exCmnnIL169eT+L0MAyXV1oJD9mjyTJVCdh5Z/nrUeM21HmrIGsCsR99YhPhzVQpK2oxDsRgAoMZkZwVQtj9Gosx6mM12cGuRTKWRzkibGQSYd38oaTMeiXF7Qz8ERZVkUVNTAwAYHBwEAEyfPh1tbW1ZJCMej+Pll1/G6tWrAQDLly+H2+3Oek93dze2b9/OvycXbrcbgUAg62UWKIkKeYeso41EAkrungEEIxM0LUGRvjfSmYwuIyESUOWQTbY3AGVRckiHTogElOwNwPzBjRwyPxJl1sJht+umDV0VQbn33nvxyiuvYMeOHQCA1tZWAEBvb2/W+3p7e/nvtba2IhaLYXh4uOB7cnHrrbciFArxr87OTjWPrSsoipJNanSzC91kMP8oNbpimDdKVq6umW1vAAqjZHZvmM8hM3tDzowcwLxnxeOUbzsiiQSS7F7Si6KkmKD89Kc/xeLFi3HxxRdP+F4mR2Kz2WwTvpaLYu+56667EAwG+ZeZCmr54VMy2mpHTCpLZuWR03Q9lDhkQCRbe83llJUoSrxDNtneANRFyWZzyMoVFC7YM+tZUWo79LE/FBGUBx54AOeccw5OPPHELDWjp6cHACYoIc3Nzbyq0tPTA4/Hg9ra2oLvyUU8Hkc4HM56mQVUthbAOeREKgUZaWSEOKNrsvVQEiED4hSgudZD0VlhDa7TYUeV6WZdKCmE1JcDIgUlzQaAeQmsktIBABjRmeIom6D85Cc/wXnnnYeTTjoJ+/bty/re3r170d3djbVr1/Jfc7lcWLNmDTZu3AgA2LJlC+LxeNZ7WltbsWjRIv49VgKVrQUoiZAB8xa6KYmQATMTWPlOaCwuTBo2r6JE1UalDpm3pfSsABCVD+hkf8jq4nnwwQdxySWX4Nxzz0U4HEZLSwsAYGRkBNFoFADTQnzbbbdh165d2LVrF2677TZEIhH87ne/AwCEQiE88sgjuOeeezAwMIDBwUHcfffd2LZtG1544QXCv57+oSqPrJNNRAqKay5MXySrULY2HYFVmvKKo87nRY3Hg+7wmBaPVhEoS3mZta1WGZkXghtzrodSW6oXhU0WQfnSl74EAHj55Zezvn7VVVfh8ccfBwD88Ic/hM/nw0MPPYS6ujq88cYbOPXUUzE6Osq//6abbkIymcQTTzwBn8+HDRs24KqrrkI6LY/9mgGK8sjsJnI7HfA6nYgmk5o8W7mhnPWbVVFS5pDNWgip5O4ZgFmPOp/XtE5ZSReP2faG8oJyc3bxKE4PR/VVkyOLoNgk3qh0xx134I477ij4/VgshhtuuAE33HCDnH/elFA62j2dzsBut6HG60Z01BwExaXWIZtWUVKaRzbrehi78I8EHHYb7HbGHiupXwu4mQvy5NR66RmK08M6S2mQgrieTw70lgK03uhWnUGJ0c1khImQetlIJKDcIdMUjxghkyooqhUlE54VQNkwLrvdZqqrMhTvDdOmQ80xF4YSlAqD61dPyExvmbEQ0sNPg1TokE1nZFS2GZvIIQNqiqjNVwjpySIo0vdHLJnibwrXixMiAbUzg8y0FoB5imQpQakwPE4myyZnDgpgTifEz4RRHAV5IDELaQi42b0h524RQNx2bTbCRlM8HMQKSlJucBPTlxMiAaV7I2zadKhF24wpyEE82l3pBEQzGV1OTZJP1phDZbfbTHVtunrZ2jx7A1A2HRMQFUKaaD2EAY/y68/MOHnZzSnRCtPDZrKjgHkUJUpQKgi3QpkWEJiumToTlB6q8USSLwYzk9H1OJQRNjPWXADKFTZOQTHTWVFK5gFzK0pKHbLf7YLTbh53qNR20BQPBQ9xHlnpRjKTkfEodECAOZ2y+rkw5nHIgHmiQhJQuhaAORUlteorYC4Cq3iyrs6uyaAEpYJQekU4oL92MBJwq4gKR8xYCOlUqBiYkKwBohSPXEXJhMO41JB5M97+rVRdS6bTGIsnAJjrvCg9KyGd1eRQglJBKM2pA6LiLp0wXRJQOg0SMKdT9jiUFVBzZK3a44bDbp6qYdWdCWZyyKpSPPpqJSUBjwpFyYyXayolsDTFQ8GDpjSyoVQxAPQnTZKA2jZjAKaadaHY6Jrw8kQ1ZN6MRbKqanJ05pRJQP2oe33sDUpQKghVeWRa6JaFsAlTPG6FMm0ilcZ4gpWtTbQeXpdCRcmMDplEisdEDllpzQUgKI5mOitKCRt3VjxOJ/8ZlQQlKBWEKpnWhKxfaeU5IHZCZloP1iHTQsisDgvFlydSBwRAXDRsPsKmrGiYElgOYfYaFUAftoMSlApCXSW++RQUIikeExkZpSkewHxOWRzNyZ8ZZC6yBhBSX020HiTars1yVgDlilLWNSo6WA9KUCoIVaxfZxP/SECN0TVjISSRKNkk+0NNSz7nkL0uZ9bsISNDVYonasJ0qKoiWfMRWKVdPIC+5gZRglJB0MKubPBGRkWbsZmMjNA6qWBaqMlqlLi1SKXlt+SHRbMuzLYeckeZA+IalMo7IFIg0nBgkr0BkCGwerCllKBUEERYv4nyyGqMrpmNjJL1CPOThs2xHmrIfDqTMd2FkkIBtZpR9+bYGwChFI9J9gZgngYMSlAqCFWsn91EPpcr604fI0OoQZFvdMM6kiVJwa3wIknAfIWQSgdxcQiZlbCpCm7MsRYArefLBYn0sB4IrDk8m0GhTkERZl3oQYojAXVdPPqRJUmBK5JVNOvCZIWQauq1APMN4yLikE2yNwCV6eGoucgrwLQJA8YfXEcJSgWhps04lc5g1GSREAlZ0kyFf7QQUoCaswKYzymrIvPsWXE67KhyuYg+V6WgRmELmawDUKyoG70mhxKUCkKNQwZETtksRleNbG2yGgNAiILUOCGzOGT1Z8VchE3NWRmLJ5BKM3VNeoiSSUDNtSFmu91ZTccboK/6NUpQKgg1hwoQVVubxMjwvftJBUWyJjMygLo5KFwUZJaaHNUpHh1FhSSglrDp7VI4tSCRHjbLWohb6dXNyam87aAEpYJQc6gAEyoovNFV3pngcjjgY0eiGxk2m0DYlETJYZOl/9QU/QHis1J5o0sCamouAPNNT1XTkm86BYU9K8mU/JZ8QFTPp4P1oASlglAtW5str67CCY3GE/yIZjMYXW7MPQDEVLSSmmVvUMUgG2pSPID5nDLfdq1iREHA7YbNBJd/q7kiA9DXjC1KUCoItUZGuCDP+A4ZIOGEzOOU3Q7x3TPKU16mqblQ22ZMUzxZMBuBJVE0bLfbUG2C27/VpIYBfaXLKUGpINQMJgP0tZFIQK0TMlMhJFcgC6gb/a+HPDIJkErxUIfMIGSiswKIbal8tTGWTPGpMjPsD9VnRUfpP0pQKgghjyz/UAH6GqhDAmoJW8hEUSEfBRGoTzKDbK308jMOwl1NlTe6JEBKQdGDEyIBj4oUD2CuYM+tMsUT1lE6lBKUCoLmkbMhzLpQSNhMtB6q1SS20M1ut8FvglkXajveTJfSUG079FMISQKqGw5MRNhoioeCCGgeORvqnbI5omSbzSaagaKMrEWTSX4CrR4MjRrYbDZyc1BMcFbE66E8xWMO9dXGyoNqungAE62H3a7qJmNAsKN+twtOe2UpAiUoFcCKc87E9974F1onTwKgwshEzVEke/H3voXvvPIcvG4m0k8oTfGYoM7AX1eLW555Apfd+V8AlEvWADDMGppar5fIs1UCsz+xAne+vgFHHLMKgJqzop+oUA1Ove4afH/zS6ipqwGg7BoEQLw3jLsedqcD1z36IL757J/h5FUDhSke1pYaeT0aJk/C7f/6G874wmcBqFdQgMqfF0pQyoyGyZNw8Z3/BU+VD1PmzgJAIG9qYIe8/JNnYMUnz4C/tgY+9vdQqhqYwSGf8/Ub0DhlEqbOnQ1AuZoECOtRaSOjFE6PB1/85U/gqfJh/idWAFC+HmZwyB3z5uC0L30OTrcbLe1tAJQTtuFoFICx1+O4Sy7AzOXL0NjWwn9Nue1g18NnXNtx4XduQ6ChHrOXLQag/Kyk0hm+DqXS+4MSlDJjyakn8n/2sflOpbLk0DhzqOoMfKiO+tRZ/J+53KliJzTOGRljGl2X14NlZ6wFADjSzBooLaAGhPWoM6gTmrNqJf9nOzuaXWlUOMQ6oCq3K2vSppFw1Lqz+T/7q3wA1JwVlrAZ2HasOv9cAIBDtAZKgz3BlhrzrNS1tWLmimUAAAd7VpSSV0AgbJUObihBKTMmL1rA/5nbSEpzhUIUZEwjY7PbMWnhPOYvmQyc7NRD5U6IMbp1Bl2Pjrlz4GBrT/i9oSLFwzlloxLYydzegHqjG4rF+EF+RnVCk8Trwf5X8Vnhyasx94a32o/m6VMBCHsDUL4egtpozPWYvGg+/2eHSjIPCAS20vuDEpQyY8oRDEHZ9+429VEht4kManCbp02B1+9HLDKOnp27wHXDKnVCQ+PGlmk5I7N/63Y4WGIST6uoQTF4lMw55P1btwuKksKzkskIhL7SRlcJ7E4HOubOAcCthzrCZvT0X8f8uQCAgUNdGB8YBKA2HWpstZEj8/vf26H6rAD6SQFSglJGBJsaUdvSjHQqhW0vvMQ7IcUOmd1ELocDfrfxWkk5Nanzg50YOdTFf12pamD0lAbnkD94dRPS7P/blIoqeiM7ZACYvJAhbO89/yKZqNDATrl15gy4vB6Mh8LY9cZm1esxbHh1jdkbh97/EKPdvQCApPxrZ3gIwZ4x12OS+Kyw9jOh4B4eDnzNVoXXgxKUMqJt9kwAwOF9B9CzZ69qGX8snuCr+I3ohNrmMOtx6P2dGGONDKC8JsfoRbId85gI+dCOD/moMKPi4kMjO+RgUyMCDfVIJZPY/uK/BcVAVVeTcZ1yxzymaPrQBzsxcKhLCG5UpngCHnfFW0mVoGM+e1be34mxXpagqBhIyNevGdV2sEX1u954C6nxCPNFFTNdONtR6bNivJ1pYDRM7gAA9O8/gKGuHl6KU+qQAYH5V1qKU4LGKUybdd/+AwizRiYNpopcCYRKfOOthc1mQ8MkZn8c3ncAsaEhAEBGxZA1IxdRc3tjqLsHA4e6YGOLhe0qHMiQTvLqStDAnZV9BzDY2SUqolbfSmpI28GOaDi8dz8iff0A1KmNQr2W8dbCFwzAX1cLAOjbdxCxoREAgM2j5qzQFI/lwBnd/oOdLEFho0EVF1QZuT2Oc8j9Bw5h/DBrZFTMZTeyAwo0NcLt8yKVTGKou1tkZJQbiCED59U5Mj9wsBOZdBrpyDgAwBmsVvyZRj4rjZOE9Rjs6lZdv5ZKZ/jZMEYksPz+OHQI430DAIC0iu4sI6uvnB0N9Q8gPj6ORCgEALD5fIo/c0QnbfmUoJQRHOvvP3AI8fFxPir0sOxXCYYMWndhs9n49Rg42InxAXJRkNflhNepPDVSCTSyBneouwfpZAqJEZagqHAeRi6SFRMUADxBcQWCij/TyLNQGiYLwc1wTy8f3DgDAcWfOWTQFKAvGIC/lhlUN3CwC9FBLh2qXG0c1olioASNOWclEQoDABx+5QRlSCcdopSglBGcTDtw8BAAwM4TlDrFn6mXYia5CDQ1wuX1IJVIYqi7B+P9jJFJO51wKDQ04VgcSTY3bzSpNtchJ0fHAAA2VSkN4xbJihUDAMjE2ILwoHKHPGzgLi+xYpBOpuBkCYqa4GbYoPsjVzGIjzCKQcapIh0qsqN2g92u2SAKfAGBzNvVKCh8cEMVFEuAqTFoByBsJDvrTF0Bv+LPNWrhn7jGIJ1KISPqWuGiIyUwaudKY46R4RyymhSPQF6NRdYAsWLArAdfg6LC6Bo15ZWtGHRmFbW6VCkoxqy7yFUMUhGmKDTjcsKmUIHlyDxgPEVJIK8smY8z596u4vcY0okdpQSlTAg0NcLl8SCVTGK45zAAwJFhZdpqFUbGoHUXHFnj1CQXa1hSdjuqVBEUYypKwnowRgaxBPNfVQRFHzKtEvAF5ex6ONhiUEd1leLPNGorKbc3Qn39iI9H+cvgAHU1OSNGPSui1DAAZNiC35TDgSqFClsyncYoO97daAQ215baEoztUFODopd0qLES9QZGbUsTAMbIpNnCNmcmA9hs6mRrg3au1LQ0AwBP1rjbe9OqFRR9HCy5qGPvVhnq7gEA2BKMsVSlGLBRod/tgsthV3wJY7nh9vn4PTDU1Q1AGHXvrFKuNo4YlLDVtbUCAIa6mL3hERWDumuU1+TopVNDLmrZu3cG2b3hZkc8pux2+OtqMTY8ouhzh6MxVHvcDGEbUvYZlUBdO7M/BjuZ/WFPqFcbdw8O4VsbXkFnaFT9A6qAbAXluOOOw9NPP43Ozk5kMhmce+65Wd9/9NFHkclksl6bNm3Keo/b7cYDDzyAvr4+jI6O4qmnnkJHR4e630TnqGlmCMrI4T7+ay4216mGoBi1zqCWIyi9LEFhja7aFI9R16OGJbDDPUy7tY01MhmXEx6/MtVgRDze3UDrUdvK7I3x8ChiY4x8LxSFKlcMjNqSX5NzVri7hNIAfLW1ij/XqFdDcPuDOytuVlFK2+2oqrFWethms/H7Y4TdH1w61OFXTua7w2P4/r/fwK/f3aH+IVVANkHx+/3YunUrrr/++oLvefbZZ9Ha2sq/zjzzzKzv33///Vi3bh0uuugiHHvssaiursYzzzwDuwEHBkkF54BGehmCIr6wzKUmCtLJpU5ykUvYuIsCGYJSq/hzjago2ex2BJsaAQiKEidtclGhEmQywrwLI6U1ch0QADjBEC2nGjJv0Dbj2lZGMeDWg0vxpBwOxXsDMG7RsLAe2YSNOSvqgxsjEdjq+jo4XS6k02mM9DG2lCPzNo8HLgP9LvkgO8Xz3HPP4bnnniv6nlgsht7e3rzfCwaDuOaaa3D55Zdjw4YNAIDLLrsMBw8exCmnnIL169fLfSRDQGC52Q4ZADxqUhoGzavzBKU3O8WTsjtQVatetjbSegSbGuBwOpFKJBFmJ8jyTsjugL+2FoOiqwDkYDgaQ53PayijW9vCOiB2bwCCoXIT6OIxWo2BQNhyFBS7Hf5aFYqSARUDQKS+5hI29qwohRHr1zi/Eu4bQJqt0+J6mVIOO/w1NRiOHi7w0/qHJpLFCSecgN7eXuzcuRMPP/wwmpqa+O8tX74cbrc7i4h0d3dj+/btWL16dd7Pc7vdCAQCWS+joZBDBgCPGpnW4CmNCQqKQ7liAIgHDBlnPbiIcORwHzJs9CNEhTb4VRC2YQMSNs4hj/QIhpVPhwYCsCscyMWlNIJeDxx247SS8opB3nRoreLP1UsrqRy4fV5UsYrzSL71IKCg1BvqrGSrawDgEqvRKmypHkCcoDz77LO49NJLcdJJJ+FrX/saVq5ciX/9619ws9NSW1tbEYvFMDw8nPVzvb29aG1tzfuZt956K0KhEP/q7Owk/diag1dQchxy2mZDVb2aOSjGc0BOtxvV7O8sKEpskaxNXQ3KoEmMjGB01UWFRlyP3JoLAHDbBQJbpTAlyp0VwFiEPrc+ye0k45AHxpl5GUbaG9xZiY6OIcrOCnITImyDBibz4rPicQhqtJr9oQcQJyhPPPEE/vGPf2DHjh145plncMYZZ2DOnDk466yziv6czWZDpsDti3fddReCwSD/MmJBLaegCFEQt4mUG1zAmA4o2MzUWySiMUTYIUtCXl0dQeGMrqGMTE6RGyAisCqjoEEjrkcewua2i2uUlO2PVDrDK0pGOS82u12wHflqLog4ZOXdHuVGvvqkLNuhwiEPGpiwZREUvmjYpmp/6AGaV6X29PRg//79mD17Nv93j8eD2pyFa25uLli3Eo/HEQ6Hs15GQ20BBSVlt8PhdMKrsDthIMIYGbfTAb9b+STFciJfRxOpItkhdj0aqoxjdGtyagwAwO0UCCwJRclI65FbcwHk1BmoIGwDHEExyHoEGkX1Sf3MnTOkUhqD7MTRBgM55NzxBAC5lJcRg718hE2wpVRBKYn6+npMnjwZ3d1Mz/qWLVsQj8exdu1a/j2tra1YtGgRNm7cqPXjVAS+YJCvpg6xl+LxBtfG/C9QqqJEEglE2ZbUBoNEQvkIisdJRlEaMKCRybseDiEq9KkoDOWckJEUFE5h49smbYBL5IR8qlqNjbU/atjurvDAAF+fJCZrTrcbToXD/DiHXO1xZ3UV6hl5xzWIioa9KqZyD0aMRV4B4ayEesW2Q7Cl3mrlZ0UPkN3F4/f7MWvWLP7v06dPx5IlSzA4OIjBwUF8+9vfxp///Gd0d3dj2rRp+N73vof+/n48+eSTAIBQKIRHHnkE99xzDwYGBjA4OIi7774b27ZtwwsvvEDuN9MRaluZQzU6OIRknBnAxdVcJNlaPZ+KjTQ4HkW7qxr1Pi8OsCkTPaNYSiNltyue+wEYzwEBQLCxAQAwwl4bD2Svh7dahdHlFBSDkFenx4OqIENQQ+x6iJ2nWqM7wKsGxlgPnqwdFu8NoYAaAHzVfoTZdnI5GInFkEqn4bDbUe/zooet6dAzuHb8kOiseEQ1OersqPFSPDVsA0ph22ExgrJixQq89NJL/N/vu+8+AMBjjz2G6667DkcccQSuuOIK1NbWoru7Gy+++CIuvPBCjI4KE+luuukmJJNJPPHEE/D5fNiwYQOuuuoqpNPGmHQpF0IHz8SURpL9uzonNI72YDXqq4xxsIItE9eDY/1plRHygEgxsNmYWSB6B+eEwllGl0wUxEWFRlFQgk0MWYuPR/kiSE8uQSGgoNQZ5axwCkq/aG+w65Fk97Y3UM23p8tBJsOsR6O/ynAEJTs9LChKJM5KvUHIK8CkAAEg1DfAf02cHlajKOkBsgnKyy+/DFuR2x5PP/30kp8Ri8Vwww034IYbbpD7zxsS+VMazKFKsB6URJRslIOVW48D5JGt3W5ebZIDbi0cdjtqPB5+toGeEWxkjW7fRCeUsjvUydZsVGiUGpSaPBGyWEFJq1SUuCJqo9RdCA55omIQ52yHiomhgxxBMcj+4NRGrh4HyK5BUXdWjKW+eqv98LD/3/IR2JTDoUpR0gPMO7pVR8htMQYEo5tIcwRFDfNnpUmDRIW5HU1Adu8+AMWGJp5K8Zd+GcHQeAPVcLPPmRUFifLqaozMgMFaJwNFJPwEe3eVmvUYMljnCk/YRA7ZxdsORnFWoygZzSnnS3mJUzxqyBpHXr0uJ6pc+m844MjreHgUcdFtzEIHoM3wKR5KUMqAfA6ZY7lxAkbGaIWhgpGZmOKJsfdIqCJsBurU4CLCSCiEpKiOQDzrQs1aDPE1KMbYG/kUFO6sJEQpDaXga1AMQuYDbMorlE9BYS8dVaUoGSi4sdlsfEojnEdhS9ntsDsc8FQpq2EbiycQZ6exGsGW5qvHAbKnchs9xUMJShnAtZFmVVqzm4gnKCqY/5CBUjw2m40v7MpeD8bI8ARFlWxtnGI3jryKHRCQI1sTcEC1Pq8hpqdyNSj51KRkhj0rKtbDSGcFEIogQ/0THXKMJShqC+wBY6xHVW0NnKyyERrIsz/Yv6txynwK0ACETTgrxWwHVVAoSiCfgsLJcBxjV3WoIsapM6iur4PD5UQ6lcoxMsx6ROMJAFBVKGukzhU+QhZJ+EB2VKiqq8lg01ODnEPum0he4ykCamPEWGpjXgWFIyjseAF1KR7j1ORwDjk8MMjfOwMI+yPK1qyRUByNkBIVzoqwN+w2G5yidDmtQaEoiXxFoe5cxYBIFKT/Q8VfbpVrZNgUTzTBEBRVRcNc54oBoiA+pZGroIimYzqcTrgVki2jTU8tpqDEWIJCpJXUAGTe7nDwV0KIFRTeIfO2g8BZMcTemOiQAWF/RNjaM1U1WwZqQy92VgBzdPFQgqIxnB6PcLlVniJZzsj4VBkZI6U0JtafAIKCMs4aGTJRof6NDF8U2p9rdJn14IuoSRRCGsAp58urc2eFRM2Fkch8dUM97HY7UskkxgaH+a/zhI0j8yTURkPsjfxqI6cojbM1XGqcspHa0POfFcGlp+x2eKqqFF+uqQdQgqIxsuY6hIVZMNyh4lIaHlWtk8YxugWjILYmhzcyBBQlI0SFBRUUVlGKsL+LKgJrqP1RuIuHVxsJOOSAx813jukVwhTZwax7ynjbEWPToQQ6AI1wVoIFzgpH2Maj6m3HgIHSw/nPijA5JM12RHpU1PNVGvo+oSYAN+OikCzJRUEkWicNESE3F3LI2VGQGodspE6NfDUoTrsddragdYxrfbSAopSlNuZRUPiaCxV7YzgaRZpVpfRO2IJ56k8AIT08ztdcWGPScLCA2sgR2Ahbb0WCwBqKsOXpeIslk0hwKS8Dp3koQdEYvEOe0ArGOWT1KY0BUYqnyAw9XYBrq51YFMpsRU4xUKMoGemWVr5LI0/6DwDG2P+3RKbJ6pywBRvrARRRG7mUht8Pm12Z6cpkhMJhvTvlYJ4OHkCkGPApDTWKgXkUlLEIAbXRQA0H+bp4+OaLVBrj7PR2I3fyUIKiMfLNdQDy5E0JOGSH3Y6gwovDygVBQcmuQeGkSSGloV62bjSEkeH2h2gyplNMUCLM11R08nBOSO/rUcghe3IUAwD8BE0lEAYb6nw9SqmNbEpD6dwPQCCvet8bQP6iUECc4mFvdlexHkY5Kx5/Ff//Pdt2CPOkYtxVESpsR6VBCYrGKHmoWAVFjZGJp1IIs5+j94OV73IrQFQkyxldFYeq3yBRkLfaL0yRzTeqOp3GOKegqDG6BlmPgikNUYonxaZ51OyPPnY9mvS+HgXURiGlQe6seF1O+N36np4qkPnc4IZVUFhyoYrMjxnlrDBrER0dQ5z9vQFRiieVQiyifj0qDUpQNEa+uQ6AkEeOEIiCAKBvjIm09U5QuJqLcF/+SnwupeFW8Xv0G8UBcaOqQ2EkRHcGibtWYmPqFZS+MWOtx4T0n2hyaoxTlEgQNr/O16OA2jghxaNib0QSCUTYQv0mlTZIa+RTG4GJtkMNme8ziPpaaIqsS5TiIXFWKg1KUDQGFxXmKgaeHFnS4XLC6XYr/nc4o9ukY7YsnuswMoGwMdLkKIEoiCMo1R43vKKqdr2BvwiuQH1SLJlCnEAU1M+SHKNEhYU6mmJJEUFR0ZnAkXndO+TG4g6ZS4eqIfOAyCnrmLD5RVNkwwWGGkZIpEMNTlD4CeXJpBDc6HyfFwMlKBqDvy49x8hwjnNMdMkTCdlaz06o0FwHQGR0+ShIuQMaicb4Cb16NjRchJy7NwQFJY0oHwURUJR0TF6Bwl0aQuGfSFEisB56dshA4QJ77rJAPqWh0gENRPRP2Lh5QaODQ0glk1nf87rY4IYAmefIa63Pq+s29FK1jbFUCrExWoNCUQL5LsYDBIIynkgIuUI1RpeLCnW8GQvNdQAAL6sajBI6VEZwQlyEnKsm8QpKShQFqVAM+g0TFeavQRHWg0zKywjrUUxt5Gsu2N/D4XTCqaI4nksB6nk9CjlkMYkYG2X2hhpFaSgaRYq9H03PXV6BErWNTIpHvV+pNChB0RBOjwdVQWauQ25enXPI48mkSLY2d+60UFcCAPjYKGiErTxXK1vzKS8dR4WFFBSOvEYTZGRaLiqs9/lg13EfeqEaFJ+TkfbHE2TOSj9fr6XfvVFMbfRx6VD29wDUOaEBI5D5Ag5ZnMINcW21KtTXTEa4r6lJx+tR05Q/uOHsKBP4qj8rlQYlKBqi0BRZQJAlYwmxbK1+OJmeFRQ+p96fj6Cwt5RyrXFqi4Yj+i8a5ro0cmtQOAdEirxybeh2u03Xw8mEGpRctVG4FkKICgkUDevYAXF7I7/amEd9VRXc6F99LTSB2iciKOFRMg65P6J/AhsoWDrAnZUUrUGhKI5iDpmPkpNJIoWQRujiKaSgiAeThUNhAExEqHQYFwD0jxkgKuQVlOz1yDIyBGpQkuk0P/tDr07I6XbDX1sDII/a6BLOCgmja4Q29JoC9SeAOEpOEunU6DdAa22+oWRALlkjkx42csor71nR6ZmXAkpQNESxlIZXFCVHuYNFoAbFCIdqgmLgEqKg4ZBogqjJC0MLzYQRjC65Sny9O2XOASWiMYyzJJWDmMwTSfEYoCi0kGIACJ0a4ihZTauxEdry+Y63guqasBZKb/7mIKS89Ls/uBqUQrWNpNTGSoMSFA1RiOUCgjRJiun2GehQFVIM0ukMxsfH+Sp9NRMhOSekV4cMFG6r9WkQBendCQV5stY34Xu+LMKmPkrmImSvy4lqnQ4nKx7cCPetcOqrqrPCBTc6th1CR1NOfZIrH5lXp74KKS99nhVPVRW8bNH8hPUQnxVCilIlQQmKhihU2AWQzxXyXTw6dUBAacUgyhITLkpWExXqfTiZN1Cdd4oskDOumhRB4Wah6NToSlEbo8kUopxioOKsRBIJjLP3+uhVYSukNgLZNUpRAk7ICCMKCk+RnagYAGrVaH2vB3dWxsOjWVNkgRwFhdagUBRDoSmygHCwspi/yYeTFZoiKza4AIgSNr1GhVwRZCQUypoiC4iiwiSZGgNAPN5dn+tRTG30iIpkBcVA5XAynTuhQIGWayC/EyJxFYJeybzNZiusNorWIhmPE7kKQe8pwEJD2oDswDdKa1AoiqGYgsI5oVgyiRjLgtUoBqFYnB9Opkdp0u4sPNdhooJCbpqsXo1uTTN3i3FxxYAUQdF7Kyk/L6hIUWiUEJkH9O+EagoEN3abjR/9Tyq40ftwsirRFNnQQIGW/Bz11cxFwzXF1EZRejhO56BQFENxpjsxClKTRwaE3KkeD1ag2BRZEesHQHRaqB7XApAaBQl7Q+1VCHrv8ioUIQPZZyVKaLaD3gf5CQMe86dDAea8kFCU9D6cLCga8JhmbQQHb47tiI6pH1Og9xqUYvVapAvKKw1KUDREoSmygDb96v1j+pXxuZbrfHMdxBEyADKD63Q+nKyQAwJyC91EeXVVw8m41kn97Q2gsGIA5MyF4VMaymcGAeL10J8TsjsdCDTUA8jXViu05IsJmxr1Ve/DyYopBuIiWQBERjYI9/Ho86wUugIByLYdUVqDQlEIxabIOuw2/j6NcS06NXRoZKQVQebWoKgYXDc+jnQ6A7vdpksnxEeFeWbkiItkM+k04uygNTWKEhcVNus0mhLaJounvOIR9ePMAdF6VKsjOlog2MCsRTKRQGR4JOt7nEOOJ1NIZzJErkIARCkvHe6PQldCANlFsgCI2NLDIrVRh7GNUK9Vsj6JUZPUXoVQSVCCohGKTpHNkmmTiI2rj4IA4DC7IXVpdCUOrQPIGJlUOoMBtranpVp/RperQcmroIiKZAEyitLhUc4h628tgOJFsl7R+G5ShX+97Hq06NEhiyLkQlNkJ5J5db9HDzvBuUUl0dECUq7ImFiDooLMs+qa02HXdcqrWL3WeDLJBzaAcetQKEHRCFIcMpBbg6JuExnC6BZLaRA0MoDIKevR6EqqT8qtyVH+e3AOqKmqSncpL7fPC18wAKDU3A9yRcO9oxyZ1+FZYdNdud1uQOGzotZ2cGelJWDUs8KsR5TAWUmm03yKuEWPwV4RW8pfrJlIIZNOE2k4qCQoQdEIUhxyLJlEJkMuCuKMrh4PVbG5Dh6X4IAAMooBIIoKdemESg/iIqko9UUiSKczTFSos2gqwJL56NgY//9ejLxDDVUO4+rVsWJQU6SjyZNLXgnUoABiBUV/Z6XYeohrLgAyNSiAiLDp0HZIrdcCyHQ1VRKUoGiEopJ1oa4VQodKj1FhoSmygHayNZfy0iVh441u8cmpABlFKSvlpTMnVKwIEsi+FkJcNOxWcfGh4ID0tzeKKQZCQTkzaI7cWdHzehRryc+xpYSCm94xfRJYXzAAl5epJ8k/ADS/LVVLYCsFSlA0QvEpsoUmp6o7DFwU1KpDI1NoiiyQxyETImw9PGHT13r4gkG+ZTjf/hAXyQIEja5OFTbeIfdPXAtAPNshhWQsxl+FoKYwlHNATX79dXlJU9fIBje6TnkV6VqZcFb4NmNC6WGdrQe3NyIjISTj8QnfL9TVpHaERaVACYpGKDZF1uvKHyGrziNzRbI6Y/2AzC4eYjItR9j0dTg5xWBsaBgpNhIWwysaxAWQTAHqU7Yu5oDE9VrceHpSVyGk0xk47PpLeRUa6w4UPivq69f0qRjY7PaCLdfAxIJyUq21eg32Cl2ayCG3q4nEVQiVBCUoGkGKghLLkeGcLhccLuWXl/GFkDqLCu1OB/x1tQAKFQ0XkGnVytY6LZItVoUPAD52D2gVJetNQamRIOED+YqGla9HMp3mU156I7CSZuTkKAZq1Ve9pryq62rhcDqRTqUwOjg04fu5hI1YDcqYPtXXYuk/QFyvlX1W1FyFUElQgqIRpN6XACArr6722nQuKtTT7I9iU2QBwMs75FyZ1pxFspyCkq8eB8hTJEvo2vRevRrdYvU4bIScTKWRZKedklIN9Epgi9ev5S+SVb839BnccHsjPDCIdCo14ftapYd7dW47ChEULQrsKwlKUDRC0UK3nCiIVDtYKp3hB1DpSZosNkUW0O5Q6bVINlikHgfILgoFyNWgHNZpp4bUMfccSBX+6ZHAOlwuXm3MO7SuQJGs+qsQ9JnyElLlpRwyO+qecBu63lJeQoqnuO3IVZTUkvlKgRIUDeD0eFBVw0yRzeeE8hld7tpsM3byFKs/AbSrQeFqLhqr9BkVSl4PQoqSflM80sk8QJCw6ZDAcqnhRCyG8VBowveLqa9qCkP1mvIq2eE1QX0lnB7W0VoAElI8OfWNJK5CqCQoQdEAxabIAhNlWkB0sHzmK+4qVvQHFJFpCYwz12PKq5SREQ8mA0B+eqrejG6Rmovcoj+AzOA6QJ9dXjUlFYPs9ci6CoFUcKMj1aBUvRZP2PiuFbJtxs1+fQ02FG5Bn2hLnXY7HOxsoIlqtH7+n8oBJSgaoNgUWWCiTAuQT2voyegKDrlAG2mRIlmbCuOQSmf4+4n0RNhqSsi0XJHshOFThLq89KQYePxVfLSb716i3L0BkJw0rL+UVyl1LbdrBTD3YMNiHV5AkUmyKtdCvymv0mPuAXERNR3URpGD0hL+RKNLqh2sR4fV+MWmyAJ5WuPGhGmipNon9STVCkY3v6I0sUiWrAPSU8qLiwjHQ+Gsu0M45N50DZAfbKins1JaMSiivqpUlPRIYPlgr0BbrVbXZIhTXkYhsOKW/Nyp3LQGhYJHsJFtMS40eCpfDQrh2R96OlTFpsgCE51QMhbjK/bVSpN6mwhps9lERnfiergcgkxLOgrSY5dXgD0rpR2yRRSDkum/Iuqryv+nekx5BYuMuQeKDK5Tqb4C+iOw/toaOFl1NZzHtwipctHesFoNynHHHYenn34anZ2dyGQyOPfccye85/bbb0dnZycikQhefPFFLFiwIOv7brcbDzzwAPr6+jA6OoqnnnoKHR0dyn8LnaFUYVdemZaQkeEUg1YdXfpVbIosULxTw2zrUVVbAwf7/z80UHhGDkBethZ3ebXpZD1KtU3mLZIldrkmV69VrepzSEJqfVLelBeh1to2nThkQFRAXaJIVhh6KboKQTVhY9dDJ2dF3HKdEp0HDnn3htVSPH6/H1u3bsX111+f9/s333wzvvrVr+L666/HypUr0dPTg+effx7VIiNw//33Y926dbjoootw7LHHorq6Gs888wzsKi7/0hOCXCFTiaJQLWRa/lDpyejycz/yK0p514NQu2B3mDMy+lgPLqURHhhEOjlxrkM+mTZO8MKvbrZouz0QUP1ZJMAX/clSUBgnpHb4VBe7Fs3VVXA59GF7pAY3WihK3SFmPfRyVuwOB6q5KbKF6vn4gnJBfSVxFQIg7A+9rEepluvcDh6AHJmvFJyl35KN5557Ds8991zB7994442488478eSTTwIArrzySvT29uKSSy7Bww8/jGAwiGuuuQaXX345NmzYAAC47LLLcPDgQZxyyilYv369wl9FP6htbQEADPcczvt9rggyEhekuCghI9PFGpn2oD4OldPt5kdVD/f05n1PFXuwxkTSJCnVoDMUBgB06GQ9alqaAQAjvfnJa5Urj0xLcNhSZ2gUS9ta0BbUR1RYaj24gvJYPjKv0gH1R8YRSybhcTrRVl2NAyMT23rLDX49CtRc5M7IAchFyZ2sQ9bLWQk2NsButyOZSOQd8Ahk33TNIRaJoCoYVK2+drG2Qy+2tLalOEHJ2/FGqHSgUiAaNkyfPh1tbW1ZJCMej+Pll1/G6tWrAQDLly+H2+3Oek93dze2b9/OvycXbrcbgUAg66Vn1LJGZrg3P0HxuxmCInbIpGpQOCNT4/Xw/04lwUXIiWgMY8Mjed9TxT5nJM96qM2d8oRNJ1FQbSu3NwqRNXZv5CGvaq9CAISosEMnZ0ggKCXOSnxiXp2E0e1iFTbdOCFufxQk83nWgxBB4R2ybs4KE+iN9PblHfAIiNYjny1VrbAxe6NDZ+tRKPD156S7AHJXIVQKRAlKa2srAKA3x/j29vby32ttbUUsFsPw8HDB9+Ti1ltvRSgU4l+dnZ0kH5s4alimW0oxiGRFyWRu4QzH4gjHmFsu9XCwakoYXEAwMpE8RlftLZycQ24P6sMh15ZUUDiyNrGAGiBI2AzjkCeqa9xZISFbd/OErfLr4QsGeKc6XGB/cIQtywkRCm44h1ztcSPoUT6VlhRKkXm3wwEnm5oTnxdS6itH2PSS4uHIvKyzQjA9XAloknjNZbs2m60gA5bynrvuugvBYJB/6bmgtrq+Di6PB+l0umAeWXBCeVIaBDaSnqRJwcjkZ/2AwPwjWUaXTNs1T1ACfuihs1aIgqST13QqxbfgqnXKnWF9RsmlosIsMk+oBgUQCFubjs7K2NAwkrFY3vfkVVAIKUqRRALD7D7Tw/7gFZQCe6NKNPcjn6Kklsx3hvVK5mWojaKrENSqr5UAUYLS09MDABOUkObmZl5V6enpgcfjQW1tbcH35CIejyMcDme99ApOPRktUGkNFFAMCMrWnTqS8Wtbijsgp90ON1volq8GRa0T6g6PIZ3OwOVwoFEHUUQpxcCfJ90FiPeHOqm2O8TK1jowug6Xi2/JL7Qe+eq1iNbksLZEDwpKqbMCFCBshK5CAMSKY+XXo6ZEcMOdlXgyxV8kCYhnf5BRG9uqq3UxN6hUcOMrQuYBY7YaEyUoe/fuRXd3N9auXct/zeVyYc2aNdi4cSMAYMuWLYjH41nvaW1txaJFi/j3GBmlIkJA7ITID58C9CXjl665EKKgfDUoatcjmU7zV6frwQnxMm2JFI84CgJE8wxUp7z0I1tzHSvF6pOsdFakpEN9xQrKCaS8OkN6Cm6KKwb5lGiA7Lj7VDoNp8OOZh0491JqdL7ghuRVCJWA7C4ev9+PWbNm8X+fPn06lixZgsHBQRw8eBD3338/brvtNuzatQu7du3Cbbfdhkgkgt/97ncAgFAohEceeQT33HMPBgYGMDg4iLvvvhvbtm3DCy+8QO43qxBKFcgColxhnHxhF6CvKIivuegp7pBT6XSBTg0S6xFGa8CP9mA13i1CHMuB2hJ5ZD9f9JetvpFaD84BNfmr4HY4EM9zhX25wJN5KWelQF5dSvq4GIQiah04ZCnp0Dw1KKTIPKAz21FCMfDnKZAFyKmvqXQGvaMRtAer0Rao5kc4VALeQDXvGwoWlOdJlQPMeXH7vNYgKCtWrMBLL73E//2+++4DADz22GO4+uqr8cMf/hA+nw8PPfQQ6urq8MYbb+DUU0/F6Khwad5NN92EZDKJJ554Aj6fDxs2bMBVV12FtEimMypKSfhAfimOZA2KEAXp38gINRfZhypKcERzV2gUR7ZX3uj662rh8noAFCmS5R1QjoJCaJ7B4HgU0UQSXpcT7YFq7CugXJQDUs5KvpRG1lUIPh9PWJRAXKNUaUhJ8WhZgwKI5uTogqAU3x++AraDbHAzivZgNTqC1Xinu/A+1RqcHR0bGkYiKr0+CWDWI9BQr/oi2kpANkF5+eWXS44QvuOOO3DHHXcU/H4sFsMNN9yAG264Qe4/r3uIW+MKoWgemYhszRXJVj4q5DuaCqR48hV2AaJCNxKETSc1OZx6EuofQCqHgHDIp64BQGycTNs1wKzHzPpatAcrS1BKzUAB8tegcFch2B0OePxVZAiKDs5KqXSozZZ/RAHJaaGdOmnLdzid/JC2QvuDT2kUSIcSs6UdrRUnbKUKZIHSwY0RFRR9jE80EUq1ggH5VQMtimQrbWScHg+q6+sAAMMFUjz51CSA7DXheqkz4IxMIYkWKFIkS9DIdOtkf5RS14DSBJZUysvvdqGGVbcqhVI1Fz6n0IWheQdghfdGTUsT7HY7ErEYRgeH8r6nUIqHKwwlob526qQNXVbpQMECe0pQLA+lTog7VESGcbFGt7XaX9Hqc27yYSwyjvFQ/imd+YYLAeQK3QD9RIVSCqirStWgqLwKAdAfYSu+HgVkfEK31kaTSQyyZ6/iTkhiOhTILSjXILip8N6Qoq4VKpIlqb5260Rhk0Tmi9SgAJSgWB42m42fnFrI6LodDv622nxFsgCBC/JE1eeVvKm11JRQoDDrJ1mD0q2TEd7S1DVta1AA/ShsUtajVCGkWYrK/bU1JeuT/CIJX1wXrEVXU2u1Hw57BYMbKQXUhVI8BNXXTv5+osrWKEkj8yXURgPex0MJCkFU19fB6XYjnUphpMBFgeLx82KmKx7GReLWWq7ivJLdCXVtzDwcKV0JWkZBXTpxyFLUtcI1KOSuTe/Syf1EUmTrQilAoXOFgKKkgwsUOYccHhgsUp+U3wFlXYXglF1WmIXDYxEkU2k47Ha0VHA8upQC6pLqGkHCNqnCCoqkYK9UepiA+lpuUIJCEHUdbQCYi77y3VQLCIcqd7gQQG4YFyAw/0kVdEJ17QxBGersLvgeXynWT8DIHGQvgauv8vFGvhKob2f2x2BXT8H3lKMG5dAIQ1Am1wRVf5ZSuLwe/hLJoW4J66Hp/mDWY0ptBck8d1aK7I181yAAOeqryvVIZzK8wja5pvLBjZS9UajmgoTayNmOSp4VQNp68IRtQtGwcS8MpASFIAQHVNghF8qbAuSGcQHAgWH2YNVW7mBJWY98cx0AsocqFIvzI7ynVnA9OAI7WISw5bv8DCDbqbGfNbpTKmh0OYM7HgojGh4t+L7CeXUyd1cBwlmp6HpIsh0Tr0EAGPWVaz0lcV4OsJ1dlTwr9exZKRbclKMG5QBLXgMeN+p8XtWfpwQ2m40nsMVsB61BoSgK4VAVYf0FNhFANirknFBFHTJ3qCQQtolRkDC+u1RbuxTsH67sejicTgSbmMmpQxLWYzxeqEhWvUPm1qI9UA2XozImgDsrxfZGoWsQALI1KDxB0QGZL+aQC3U0AUCUH1OgXn0VzkqN6s9SijoJamO+K0MAsnY0mkyil02XT60QgQ00NcLpciGVSCLUl/9+N6BYcEOOzJcblKAQhJQoKN+oag4kCyH3s1HQtAoaGSlRUL6ZMICwFgAzjEstDoxU1gnVtrbAbrcjPh4t2DYJFJOtydVc9I1FEIknYLfbMLlCuXXurBQna/m7VgCy01P38YpBJc9KaTJf6KwA5LqagMqfFUCkvhZVUAq01RKe+1Hp4IZbi+HeXqSLTH4uVINCksyXG5SgEISUPLK/wDAdQJTiISLTVla2ttnt/GRMKYQtNwpKRGP8YSTphCpF2KQoBkCRIlnCMu3BCjshfj2KqI2FrkEAyDohziFPDgYq1pYvLcWTvwUdIJwCrLDtqK6vg9vnRTqdljQjZ0JKYzz7KgS1qLTCxpPXImQNAPwFbClJMl9uUIJCEPWSosLCMi3RFE+FWX9NUyMcLicrSw4UfF8hIwOQrUOpNGGTohgAxfLq5G6sBYB9FZbx5dQn5dsb0Qg5h9wVHkUylYbb6ahYO6mUFE+hSaEAWSdUafWVOyuhvv6CHU1A6bZagIz6ur/CZF6wHYXJPFAsXU5rUCggT5Ys6pAJtINxRqa+yoeAx6368+SCKwgd6ulBpsgdS4UOFUBYtq54FFR6bwClC/9I5ZEPVLhGSU6KR2syn0pncJBtva4EgfUGquFjU21SujTy1qBoob5W+KwUI2tA4ZlBpNXXShM2KWTeZhOneArVr1GCYllUN9TB5fVIkCUZspA3j0ywBmU0nsAAS3gqUdwlRITFWX/RvDrBg7WvwoqSkP4rIdMWMjKEZdoDlVZQZHQ05dsbcYIKCiBej/LvD66jKTwwyM9CyodCLeiA2HYQaLtmyZrf7UJjBQorufUolQ4tVjRMNAVYYfW1flI7gOJnRXwNwoQ5OZSgUNS1iWTJ5ER1hAOnZoRj8QnfI1mDAgjMvxKRUJ3EmotqD3OwRvOtB8GJkJxi0BaohoftDCknpMxAAQTCNhrPXg9ubzjdbtXDuADR3qiA0RXPQJGW4tHWAQHCelSCsPGKQam9wQY3WtegxJIpfkBZJWyH1HqtQlOGAeFyTZLqa6WLZIsFN9WiAaDjydwaFJrisTykypJBlqCE8jpkcjcaA5VtF5QiSwJAwF1kPQgerIHIOB9ZVMIpS1EM/G4X7Ox48XCsSF6dZCFkBRWDUjNQgh5m9Hu+vRElmP4DKtu5wjugIukdAAiwTigci034Huk6Az4FWIGzImXAIwBUFwv2NJgbVF/lyyIC5YDNbkdtG9tsUGQ9xIGv+BoEgN5mTAGgXsLMDwCoZh1yboQMiGtQjN8eJ6WjCRCcUDFFiZQTqpRq4HA6EWTvaCoWBXHkNZVOFx3GRUJh4/bG5GCg7HeuSI2QOfKqtQMCKnxWJNYnlVN95VWDukoGN6Vsh4T9QUB9Dcfi/IWS5Q72gk0NkmagCIHeRPJK8iqEcoMSFEKo72DzhKWMriTWT9YhV8LoCrK1xCgoH2HTyAmVO0qWOgOlmEMGyEbJ3aOjiCdTcDrsZb+jiDsrpfZGwFt4PUi3TvJnpZL1WiXWo5iiRLJ+DahsCrBOQrMBIDovxWwHaUWpzLZD6gwUzq/kS5WTvAqh3KAEhRAap0wCAAwcOFT0fUUPFcG7eIDKFUI6nE7+YPWXXA8pNShkCcq0MhuZhskdAICBQ51F31eMrAFkCUomIxRDlnt/8OuhwgFFSTugCqa8hPXoKvo+Xn0th6JUIYccaKiHp8qHdCqF4SIpL5fDDi/b1ZSXsI2TDvYqsz8aJjN+ZfCQtMA331qQvgqhnKAEhRC4jVTKIXNOKBQtn0MudxRU194Ku8OB+Hi0qCwJlIgKSXeujFSGsDVNnQwAGDhYfG8Uk6wB7RS2chM2jsz37z9Y9H2C0c1Xc8HUa7l9PiLDuA6GwkinM/C5XGipLp8Rt9lsaJwsbT2K1q+xZ4VYgf0QR+bLe1Ya2bMy1N1TvNnALYxOyJsuJ0zYKjXokTsrfQek7Y1CwQ3JqxDKCUpQCMDhcqGOLWQqRVC4jZS/BkWbQ9VcXVXW4i7eAZVwyF6nE072LpjiihKZ9dgzOAwAmFlfS+TzpKKBMzL7JaprJQkK6fWoI/J5UtEokcwLsnXhLh673Q6XV/0lbolUmiew5VyPQFMj3D4vUsmkhI43KSkNMg5oz9AwAGBGmc+KXPIaiSeQSmcmfJ90sLdnkLGls8q9Hpy6JjHwzaeuAeTr+coFSlAIoGFSO+wOB6JjYwgPDBZ9r6TCP0KHKhSL8xddzWoon9FtnMJEQVIdEFCeKOjjAab+o5xrAYgccgnCFigVBRFOAX7MEpRZDbVEPk8KbDYbn9LoLxEVFiv8Iz2MCwA+ZuuDZpWRoHAOeairB+lk4RoDQFiPvCmeCNkalL1DI0im0vC7XWWtURLOSvF0aDE1CSBvSytmO1hFqZSCUqwbEjDusDZKUAiAS+8MHCh+qACpRaHkWC53sGZXwOiWrsfh2iYntsYB5Me7cw65ocqH+jJenc6neEoStsIdTQD5wlDe6JZxb9S0NMPl8SCZSGC453DR95aSrUmnAD8eGAYAzC4jYWuSKOEDEkcUEDoryXQae1kFtqzBzVRpwU11kfokQDwHhSx5nVlfW9b7mqSqjXw3ZIH1MOp9PJSgEIDUlAZQXEGJEh7GBQC7OILSWH6CUjpvWtwhk46CIokEDo0whaHlMro2u52fBNknUbYuVw0KvzfKqq5xRX9dRbsSgPLL1rtY9XM2O0SuHJBK5h12Gz/KPH86lGwNCiAKbsq5PyZz6VCptmOiugZoU88XT6bgcToxuaY8N4D762r5KxAGDpUooPYIwV4+kLy7qpygBIUAeIJSwsgAxQshtWgHq4hsLbNgOF96ByAfIQPCepRLUaptbYbT5UIiFsNIrzrFIEo4St4zNIx0OoOg14PmMkVWUiNkQIZsTSrlxSoo5Ux5SU6HiopCy5EeBkS2o6wKCkvYpKZD89QnAeQVpXQmw9fllMuW8um/7h4kCxAxDuUO9soFSlAIQKpDdtqF1rh8TkiLdrBd/eWNguwOBz/nQmrLdUEHxLF+AjeScih3LplP7xzqQiZfHkuE6jLOQQGYkeZcYWi51kPqWQEkdDURjgoFGb8O5VLxpaqNnEOOJZOI51GeSF+FAIhSXmUqDK1uqIPX70c6lSqpGAQqEdyU2XbIOSu0BoWiIKSmeMRFoQWlOOJ1F+UlKHVtrXC4nIxicLiv6HsDJWRJLVh/udMaQvt56RqDUikeLfLI5V4POenQYqPMAWF/kEprVKIwVOp4AqkdXgCZqxAAIeVVPofMtRj3IpXnfh0xirWgA9rU831U7rMiR22Umg6lCoq1YHc6+LHuUo3MeCKBZDqd9z2kNxJXGFpfpsJQPqd+sLOkYsAVhRaKgkgP4wLEUVAtsc8shiYZRqZkUagGUVC5CazUNlKgdOEf6c6VrMLQMsj4waZGeKp8SCWTJe+dKTaICyB/FQIgKCgz6spTGNokMb0DyJi6rMFZKRthk1E6UJKw0TZja6K+vQ0Op5MZSlZSMSieNwXIO6HxRBIHWRm/HE5IOFTSFYNChyrO3y/iJzKMCxAIW7kKIeXItHyKJ88QP0Cba9PL2cmTNZSsxHrYbKWdsiZ1F2WU8cU1BsWGkgGlUxqANhcGxpJJeF3lKQxtUOCQy6m+Ch2RtcQ+sxhk2dJSXU20BsWaaJ4+DQDQt/9AyfeWmnMBaCPjC+2T2hvd5ulTAZQeSgaIo6AChW4RQbYmMYwLAHYPMoWhAY+7LBNDm6ZNASAxKpSqoBg0xVPT0gyX14NUIomhnuIXwfldwmDBwlEy27li0CiZV9cknJVSRZAAeUUpncmIBpSVYz2YsyKl5brkWdEgpcHZ0Wl1NXDatXedTRILqAEZZJ7WoFgLLTOnAQB6d+8t+d461skOj0cLvkeLdjChfVJ7I9MyYzoAoHf3npLvrfUxRnckmn894uNR4sO44qkUf8+I1kbX4XLxQ8l6du8r+f4afux/AUVpXLuocGZ9reaFoS0zmb3Rt/9AyaFkNV5mLRKpFKIF1AXSXTyAQNjmlOOssOvRu3dfyfeWckAA+ZocoLyErWXGNADA4T37Sr63psgVGYDo8kRCVyEAQGc4jEg8AZfDofn1EMGmRviCAaSSyZIt14BoQnkpMk8VFGuBc8g9UggK65CHCjhkQKt2wWEAZTIyLGGT4pA5wjYULdxCp0U1Pk/YNJ4N0zR1MhxOJ8ZD4ZLpPwCoY2uEhgoQ2KgGhX/7hkNIptKocrvQEdBWxufJvAQHxO+N8WJ7g6xiAJR39odA5qXYjuJ7A9AmSi6XwmZ3Oni1sVeC7eCCm0LBHrc3SF2FADAXbO4uky1tncXsjYGDnSULhm02oJb9HQcLrQd/2zUlKJYCZ3SlsP5aH6egFDG6WhiZfsYhz23Utu7CFwwi2NQIQNp6SDG6cQ2Y/0ds6/W8xgZin5kPrVyELGEtABGBLbA/tNgbyXQau9koeV6TtvujlSPzH0tR17i9MV7wPVooBjvZszKzvhYuh7bmkSdsH5cmKFyBe9Hghifz5BQlbj3mN2l7VhonT4LT5UJ0bAxDRW4x5iAQ2CLqK9uIQDK4Kdd6yAl8azwe2O2MSlRof9AuHgvCZrPxsqSsqLCokSG/kXYcHgDAOGQtc6fcWgx192TVjxRCrbd4FARoU42/4zBzw/KilkZin5kPvIQvwcj4XE542PkVBY0Me6+St5rsjaTb+fVoIvq5uWiZJZ2wCQ65MJmPjpK/ofXgSBgj0RhcDgfmalhI7fFXoa6N6f7r2VN6f9R6Swc33IgCL8Haqu29jPK3sLk8Z+Xwnv2S3s8FN4UUA0A4Lz6CLePbWSVU87PCBzfS1bWxeAKJVP7u0KhGtkNrUIKiArWtLfBUVSGZSEia61BKlgSEjUTyUO0fGUE4Fofb6dA0ty7U4+yT9P46CVHheIgZTc+NfCYBzuguai6PkZGU/mMdUDKVLlgIOR4eBcAM43Kx5I4EeMKmtROSkdKoLREhA8B4mNkbVQT3BlAeAsuR+ZHePkTZ/6/FwKlrg0UUJeGskKuPeL+PCW7ag9WajimQ45ABwXYMFyGw3HnxErSlO3rLc1Z49VWCuiakd4rtDabuzqdxGpc0KEFRAc4h9+0rXfQHSKu50MIhZzJlMrpKjUyRqDASJr8e3FqUzehKcMjSJPwI345K0gltZ42ullFyTUsTfIFqpuhvX+mONyHdVV7yCpRHNdDirHCEjWRwMxZPYA9bd6HlenAOuUeCQ2ZqLqTvD5IEllMb5zc1aDobRk5wUy9pbzBkzReohq0MHUikYJwn1SH4iFBijUG9hJoLnulqZHS1lCZbuXSXhEMFSEt5aeGERuMJ7B1i2ie1MroOp5NvE5SkGPBGpvBaAOCjbaKyNbs3FjRrZ3S5s9J/4FDJmR+ANMLG7w3CUSGXEtX0rMycAUCaAwKEsyJNQdFKUdJuPeSQ+aDHAwfrZIvtjwhvS8mR+T1Dw4jEE/C6nJil0TyUQGMDqmqCSKdSEsm8hLPCkleArO3QGpSgqICcQwVIc0IRjvUTNrrbyyDjC+uxr+R7vU4nfy+RpCiZ8Hq8r7HRbZwyCQ6XE9HRMQyXuCQQAOq4iLCIugaI9gdBJ7RnaASReAI+lwszNTK6ys+KBMVAIzK/QNOzMg2A/PUotj+02BuA9uqr3eFAM9vB0yNhPAFH1iLxBGJFlGvBdpBzyJmMkPbSKrjh1KSBg51IFpmZxaFWgtqYTqb4GiWShE1rUIKiAnLaJoHKKQaASMbXyCF7/FWobW0BIG2uAyfhJ1PporMduCiItNEVZHxtqvGVOuRiRX+ANnUG6UwGH5TJ6JJUDDiH7PZ54RANdlMLziFPr6tBtZvc54ohpx4HEAhsseBGi70BaJ/yapjcAafbjVhkHMPdvSXfXythXAOgfQpQq+BG8CvS9oYUZR7QRn3VGpSgqIDcFE9tiTZSQDC6Wh0qrYwuX/R3uI83DMXAD60rYWSiIfZQaUTYtDIycluM6yWmeDRLAWocJWuhoMRGx/hWUpIEdnA8ii5232nhlN0+H+o72gBImxdks0nrWtFCMQC0r1HizsrhvftK3t8FSHfIXN1FFWHCprWi1MKl/yTU4wDSahsBkcJWhmsLSIESFIWon9QOX6AayXgcfXsltsZJcMrjvGJA9lBpbXTb580BIG3GBSBNsgY0JGyHNTa6s2cCkL4eUvLIgNjoaiTja9DZZLPZ0DpLXs2FlBqUTCYjRIXE9werGmjghFpnM2sR6uvnz3sxBNxuSTUXWikGHw0MIZ5Mocbr0eROHuGsyHTIJQhKRLN6Pm1tRxu7HlIVFCkzgwDtFDYtQQmKQkyaPxcA0L1rt6SiP7fDgSpWuZBSc+FwOeH2kb15Ussefm49Dr2/U9L7pUjWgHaE7aOBQSRSjNGdUkP+wE5awK7HB9LWQ0pbLSAibMSjZG5vkDe6DZM74AtUIxGNSRrgB4hqckpGydqmRLUgbPxZkbg3OPJaquZCKzKfTKf5AWWarAd7VjqlrkdV6RZjQMMUD2tHZ9bXwsvOLiIFm92O9rmzAcixpaWnLgPaqa9aghIUhehgFQOpRoaLCFPpNEYK3LUCMBMQk+xoY9JR8jbW6C5uJW9kOubLXQ+GfJVSDLQyuolUmq+7WNrWTPSzfcEgGiYxd/B0fviRpJ+R0lYLaBcFvdfDGN1Z9XXEU4CcQ+766GP+bqVSqJUo42udEiW9NwBhPTo/kLo3JKprrAPy+v2wOx0qnnAi3mMLvZe1a7cekglbibHuHLRKefWORtA7OgaH3U7cljZNnQxPlQ+xSETSHTyAuAW9MuqrliBOUG6//XZkMpmsV3d394T3dHZ2IhKJ4MUXX8SCBQtIP4bm6OBY//vSjEwzOxm2PzKOUmlW/mARllPf6WJGSK9obyX6uXanA+1zZgEAOiWy/iZ22mX/mERZUoPCri1dTEHeig6y6zGJJWv9Bw9JGsIFAI3spNzBSGVqUA6PRXBgOAS73YZlbS1EP7tDZoRst9l4Qj8gUbYmbXQ3dzJn5ci2FjjsZFuvJy2YB0B6hNzI3jVUam9wQx4B8l1v3HqQth3V9XWobW1BOp1G14e7JP1MA7ceEskrafUVEK0HadvBnpWuD3chk84/FTYX3P4odVa0Ul+1hCYKyvbt29Ha2sq/jjjiCP57N998M7761a/i+uuvx8qVK9HT04Pnn38e1dXGWTRAFAV9KNEhswSlb6z0CHitouS32EO1pLUZbge5CKtlxnQ43W6Mh8IYONQp6We49egtsR68A9IgDfNWJ0OcSRuZDpnpLgBoqebWY6zo+yIarseWLo2MLr8eH0p6f0OVDw67Hel0Bv0RiQSF8HrsHBhEKBpDlduFBQTvXXG4XHw9jtT1aPZL2xvpVEqIkgmvh+CQ24h+LndW+vcflHQ9BiCclcOjxdeDJ/Ma1M1wZ2UlcYLCkleJZB4QbOnh0eLrF2Fvca+qqVH4dOWHJgQlmUyit7eXf/X39/Pfu/HGG3HnnXfiySefxI4dO3DllVeiqqoKl1xyiRaPogmCzU0INNQjlUyi66Pdkn6Gd0AlNhEgbCQ/YSOzd2gE/WMRuJ0OotIkn0OWmM4AgBaJhG1smBmo5nS7idfkcEZ3eXsrSM4n4xQUqYoBIN3IjLED5vx15I0Mtx4rCTshuUaX2xsD4+NIpYvLjWNDwwAAf22t4ufLh0xGrLCRW4+22TPhcDkxNjSM4Z7SLbUA0MzenyIluBkbHgYA+Ak7oa09fUikUmgN+DGJoFolN70DKDgrhPcGoJ2i1DFfvtrY5GfsYikCy52VqlqLE5TZs2ejs7MTe/bswe9//3tMn860kU2fPh1tbW1Yv349/954PI6XX34Zq1evLvh5brcbgUAg61VJcIfq8N79SBapJxFDjoIyOsTcLuuvJ39vzlsaSJNqjExviSgoPj6OBFsMV014iNj23n5EE0nU+byYRXCt5Ur4NhvQVCUtSuYdkAZGl1OUlhPcG3XtraiqCSKZSEju0miuluaAAGCUIyh1tUofsSA2a6CwyS2eBgTCJiW44Z0y4bMSTSb5wmGSqgFXuyY1NQwALezlkKXOCmdHPVU+ondXAQJBmdvUgKDHTeQzbTYbX9t4UOJ6yFEbuWCvWoOzohWIE5Q33ngDV1xxBU477TRce+21aG1txcaNG1FfX4/WVmZj9/ZmRw69vb389/Lh1ltvRSgU4l+dndLSCFqBi5DlSPhSZVoAGGPvvvBrwHS1iJLVpDSkOCGtnHIyncY77GAoUpGQx1+FJnYqptQoqMHng9PBHMW+EjU5vGKggYLyNqsYTK+r4fPaapHV7cYWf5eCVAcEiBUULc8KSYcsL0IGBAXlsBQFRSNFCQA2a5AC5Mj8QYnpLkA6gY2NRfiGA9Lr0R8Z56/LWE7IdijpdpOlNg6yga+VCcpzzz2Hv/zlL9i+fTs2bNiAs846CwBw5ZVX8u/JHcZjs9mKDui56667EAwG+VdHRwfpx5aFDgUSvhKZtrpOCwWFiQpJGV1xW5yilIYURYkjbBqMYeeN7iQy68FFQINd3XzEUgot7N7oH4sgWaIwjpdpg0HinRqhWBwfsp1NpJyQUEwu56zIIa9cyqtW/sOVAKc2LmpuItZOyikoUiNkQBTclFAbARGZ14DACjVbZIIbptutHYD09LActREQBXuapETJKmxKut0UnRWrp3jEiEQi2LZtG2bPno2eHubA56olzc3NE1QVMeLxOMLhcNarkpi0cD4AeTUXTTJkWs4hk05pAEJUOI+QNNk8bQrbFjcuuS3OZhOM7mFJUTLL/LWICg+RzSVzEaHUFlIAfA65lHoCMEWynPEiXWcAkFfYlBT9tchSDLSLCg+FwugJj8HpsGMJgZotJd1ugDy1kbcdGgQ3W/iarRYiNVt8t9sB6d1uctRGQNuUKOlOHo7MSy2eBpSpjVW1NYa50Vjzp3S73Zg/fz66u7uxd+9edHd3Y+3atfz3XS4X1qxZg40bN2r9KERQ19aK2pZmpBJJmRtJTg3KMABtjK5YmiRxsKYtZTq0Dm5/X3JbXJ3XCxfbRSTNyGiXO+UUlGVtLUQ6m6YuWQQAOLjjA8k/I8fIZNJpoYhawxqloyapJyg2mw1Tj1gIADi4Xfp6yCOv2kaFXJS8anK76s/qmDcXTrcbkZEQBju7JP9cs18GYdNQQXm/bwBj8QSCXg8WNKkf6KfkrHB7YyAyXlJtBIT9oUWwx52VT0xSvzcAYT0O7ZCf7pKkzI8wa2G32w0zC4U4QfnRj36E448/HtOmTcNRRx2FP/3pTwgGg3j88ccBAPfffz9uu+02fOpTn8LChQvx2GOPIRKJ4He/+x3pR9EE049cDICJCOMl+vDFkKOgaKkYAMCmA0wNz3FTJ6v+rOlHLgUA7H3nPck/wxmZofEo4hKkTD7FowFB2TUwhN7RMXhdTiJpr+nLmP2x9+2tkn9GjkwLiAisBk75tf2HAACrp3TAqTLKapk5HVU1QcQiEXTtlDbjApCpNmqooADAq+xZOX4aibPC7o133pN05wygRG3ULuWVSmewkeR6LFsCQKbtkH1WtLOlb3V2I5pIoj1YjdkN6oIFh8uFKYuYeWB73pFuOzi1UcpZSSdT/Ph/o9ShECcokyZNwu9//3vs3LkTf/nLXxCPx7Fq1SocOHAAAPDDH/4Q999/Px566CFs3rwZHR0dOPXUUzE6Kk3iqzSEQyV9EwGCkZHEdDVk/QDw8j4mFbNmOkGjK8shS6/HAcQ1ObWynk0q/s2uxwnTp6j6nPpJ7ahpbkIyHseBbe9L/jneyEhwQIBoPTRQULYd7sNAZBwBjxtHtqsb2Db9SOas7N+6XXJOHZBbQM0YXKfLBS+7jiTx0l7Gbh07dRLsKvMaMzgy//a7kn+mXpTSkJXy0ii44c7KGpUExWa38+rrni3vSv45OWojoG2NUiyZwhuHGIVNLWGbvHA+XB4PwgOD6JeYKgfkkVdAXJNTK/cRKwLiBOXiiy9GR0cHPB4PJk2ahPPPPx8ffJAt4d1xxx1ob2+Hz+fDCSecgB07dpB+DM3AGd29b0tn/Q1VPnhdTqTTGfRIKHTTOip8mTW6R3W0wedSXvwXbGpE4+RJSKdS2Ld1m+Sf62AnGXaHpR0qXjHQiLC9tJcxCGqNDOeADu74EMl4XPLPCVGQTCOjgYKSyQCvEHJCM/izIo/Mt7JDG6U4oWQsxg/48mtQd7G15zBGojHU+byqZwdx6toeGevRyu6Nwcg4EinpKQ0tUjyAENwcN22SqjqU9jmz4K32Yzw8KvlCTQBoCbDpLokKitadK6QIm5JAD5CnoADiQtlaWf9OpWCMShmdwBcM8DdN7ntXOkHhLqPrGR2TlNLgiplcHg/x4WQAsGdoBAdHQnA7HThaRW59Gmtwuz/ajZhENQQAJtcy+c8DI6VvcgVERkbjqHDV5DZ4VHTG8Okdmeoatz8ODksr/tZ6ngHnhNQSNp7My5Dw3Q4H2oMMQTk4Im09tCwqT6UzeJVNe6lxQs3Tp6K6vg6JaExWjQF3e7DktdCwAxBgJqiOxRNo8lepqkPh9sa+d9+TXLsGiM6KVNthkLPCBTdyyCugYD1Y36KVOk8alKDIwLQljCR5eO9+jLJOUwqm8EZG2iaKj0f5+pZAQ73Mp5SGl/eqT2sodciTZR4qbq21Woud/YPoDo/C53LhKBXdK5zR3bNFppGpZdZDKmEL9zOtwIFGciPYxeAI2zEq6lBqW1tQ19aKVDKJ/e9tl/xzk1hyMp5ISE4Bjg4wN+1qtT9IRMncWdm/bYek2885KN0b3mo/3Ox9RiSRSKWJ1KEoUaIBwZbul7geIY3PyhuHulTXodhsNkxbxvgWuQoKvz+GJa7HgLbrQRqUoMiAwPqlpzMAYHIt55Clt0eH+pipjUGC94CIwaU1VBldhRI+R1D2SzxUI/xaqO8cKIR/q6zL8dfVomXGNADy9ofNBkwOylOU+PVo1mY9th/uR/9YBNUeN5YrrEPh9kbnBx/JKiafouCsaL0/uChZTR2KUEwu76xMrZFHUGJjET7lFWjUZj1IEDY+/SdXbZTrkDXeGyTqUFpmzUBVUH4xeUOVD3725vGDIWnnJXRYe1tKEpSgyMCM5UsByJOsAcEhSzUyADDSx1z3Hmwme503B87IrOhoRTW7yeXA469CBzugba+MdBcgGF2pCkqIHR7m9nnh1egmTs4JnTRjqqKf54qnu3ft5i8pk4LWaj/cTgeSqTS6JM6C0NrIZDLAK2xa4+SZytaDc0B7ZBSEAvLJKyByQhoRtne7D2N4PIpan1dx4TBfYyBTXeNth5z1YPdHjUbrIS6yV3LTc8OkDgSbGmUXkwPyUxrc3tBqLQDg5X1MTd8pKs+K3GJyLv3XEx5DLCnt5/j1oATFXPAGqjHlCKYNbNcbb8n6WU6WlENQBCOjDUHZNzyCXQNDcDkcWDtzmuyfn/2JlbA7HOjbfxAjvX2yflZulJyMxfjZH1odrPW79gEAjp7cjnoF0vico1cCkNeRAAgOqDM8WnJUNYcQS15rmrTZGwDwT/benDPnzFT083OOPgqA/PWYWivPAQGis6LReqQzGWzYsx8AcPZc+etRP6kdjZMnIZVIyiomB/SpKL3V2Y3ByDgaqnxYpWAGCLc3Dmx7X1YxeZXLhUa2a0UqgeWCG6fbTfx2eA7P7WLOytqZ0+ByyHeps1cxtmP35ndk/ZxcdQ0ARg5rS+ZJgxIUiZizaiUcTid69+zDEDvcSyr4mgslUaGGTPdvH34MAPjkvFmyf3besasAAB++uknWz9V4PQiwE2xlGd3D2ipKB0ZCeK/nMBx2O06fPV32z8879mgAwAevyFsPuWoSIBiZQGO9ZhMh/7GT6aw4alIb30kiFY1TJqFxyiQkEwl8/MYWWT+rRG3kCZuGRveZD5lby89SQNjms3tj77vvySomBwTFYL/EaxMA7RWlVDqDZ3cx++NsJbbjONZ2vPa6rJ/jAr3h8ShCMWnEJpVI8IWhWu2PLV096A6PIuj14HiZs6UcTifmsATlw1dlrofMdBcgnBWa4jEZ5h2j7FABYllShkPuLYPR3ckY3TPmzJAt1SolKJxD7h+LICLx8jgACB3W/mBx63H2XHlGt2naFDRMakcyHsfut2Q6ZAVGZnRwCOlUCnaHQ5NZKADTcfYWm1s/Y84MWT/LkbW9W7by9RBSMUVBSkOICrVTlJ7dtQepdBpL2pr5Z5QKbj3knhWn3Y52NqWpSH3VUGH7O0tgz5a5NxwuF2Z/YgUA+euhRE0CtFeUMhngHx8x63GWTIVt2tIj4K32IzwwKOsuM0CUDlWwNwIN9bATmJytNShBkYi5rEPeKZPlVrlcaGV792VtpDIoKJsOdmKAlWqPniz9AsaWGdNQ19aKRCwmW5acxs5nkGNwAcHIaJXyAoC/sVHyqbOmyRp7zzmgPVvelVUQCihLaWTSaYT7mc6VchDYT8o0ujx5VULm+a4VBeqahmdlcDzKd6/IcUJOtxuzjloOQL5DnlwTgN1uQyyZlDSkjYNQv6bdeqz/eC/iyRTmNjVgjozulRlHLoGnqgqh/gF0fSi9IBSQ39HEQeuaHAD4Ox/cyDwrxzG2Y+drb0ieLsxhmgLbMTo0jFQyqWlwQxKUoEhA66wZqG1pRiIaw26ZOfW5jUzr4+HRCIZkOK9yOORUOsMzfzlpHo6s7X7rHSSiMVn/5rwmZj12sg5WKsphZN7u7kFXiJVqp02S/HPz2fX4QKYDAoT98VG/9LZ1QOSENI2SGaN78sypkgf6OT0ezFqpzCF7nA7MYAnsrgHp+4Mj8/7aGjjd6i/ALIS/81GydNVgxvKlcPu8GOntQ/dHu2X9e9ze+HhgGHJ8l9b1awBz8/W/2YmncggbR+Z3vva6bIfMrceuAXlnRQj2tFuPDXv2YzyRwLS6GiySYaN4dU0BmZ/DrYcM25FJpxFmz5YR0jyUoEgAl975ePPbSMbkOeT5rEP+gC3Wkgo+paFxMdMzbB3KOTIIynwVh2oe238vez36tJfxGamWcSKfmj9b0s+4vB7MWLEMgHx1DQDms23k7ytcDy2d0Hu9fdg/HILP5cJps6TV5cxcsQwurwfDPb2yJoQCwJyGOjjsdgyPRyVPGQaA8VCYJ8panhfurJwwbQrqJBZScxGykrPC7Q2lZ0XLvQEICtu6BXMk/8zcYz4BAPhQZq0WoHw9ODJf06LdeownkvjXHqabR+p61LQ0oX3OLKTTaXy08Q1Z/57LYefnrsj3Lcz+qG1tlvVzlQAlKBKw6KTjAag7VB/2y9tEw2wNiqeqClUyc95y8M+P92E0FsfM+lpJN7Z6A9V8u7XcCBkQGZnD8tZjqLsXAFDXTuZq80L40w4mD/yZRfMkTZWds2olXB4PBru60btnn6x/q87nRRtbY7BT7v5g16Oe0FXvhfCn7czU08uWLJD0/gVrjgGgTE1SStYAYKibKVyvb1d/C3MhfDQwhK3dh+F2OnDBonmSfmbBcasBqDsr77OEQyq4Iv7athbNiqgB4C87PkIqncaqye2ShpTVd7ShbfZMpFMp7NwkrxMSAD+59v3DytZDa9vxR/asXCLxrMxn98bBbe/zE2+lYlZ9HVwOB0LRGA5JnIHCgTsrdRqeFVKgBKUEalua+aFT2za8JPvn53EERabRTcZifG69YZL0+hC5iCQS+PP7HwEArli6sOT7jzjpeDjdbnTv2o0+tv9fKmw2YT3ksv6BQ0z+v4HQ1eaF8NLegzg4EkKdz4uzJXRsLD39FADAtg0vy/63OAe0fziE0bj0gmEAGDjUBQCo13BvAMCv32XuyTpjzgw0VhW/dsHucGDJqScBALYrWg/GAcndG0D59sevtzLrcbmEs9Ixbw6apk1BIhrDztfkRciAcjI/3HsYqUQSTpdL03kXPaNjeH430359qQSnvOS0kwEwqWE5s4IAIOhxYxLbxfOhzPTwIHtWtLSjAPDXDz5GmA32jplS+t/ibMf2F/8t+99SqiYB5TsrJEAJSgksPo0xuLu3vCN73gcAzGtUluIBgIGD5dlI//sOM4r8M4vmlaw1WHr6WgDAu8+9IPvfmRwMwu92IZ5MYTfb+icVg52MkakKBuFjJ69qgXQmg99tZYZHXVbCCbm8Hiw88TgAwLvPPi/73zKCkXm/bwBbOnvgcjhw4RHFVYOZK5Yh0FCPseERfPS6/AhZ3XqUh7D933sfIJlK46hJbXxNRCEsO4M5K+//+zXZ3UyAckUpk05jsIvpwKqXUfyuBL95l7Edly5ZWPLywGWs7XjnOeVnpTMUxojMujfurNR3tMGm8kbqYogkEvgzq8CWIrCBxgbMXHkkAOCdstuO8hA2EqAEpQSWnsaw3K3PbZD9sy6HHTPZSukP++SxfkC0kSZLL9hUglcPHMLeoRHUeD04t0gtir+2BrNXMS2CSggKd6h2DQxJHkrGIRGN8bl1rQ8WpxqcNms6WqqrCr5v/vHHwFNVhYFDXbInYgIqjQxPXrU3MlJVAy4ifO/5F5GWONlSjAXNyhQDoHyE7fBYBM+xM0CKrYfNZsOS0xnFQIkDmhQMIOj1IJFK4WMZ935xGCzTejz94W4Mj0cxtTZYdAZI8/Sp6Jg/B6lEEtteeEn2vzOf3RvvK9gbwz2HkUom4fJ4ENC4MJSzHecvnFs02Fty6kmw2+3Yt3Wb7LlagOisKLAdgyLCpndQglIE9R1tmLp4IdKpFLY+/y/ZP39ESxOcDjsGI+OSx5iLUS6jm8kAv2EP1pXspVX5cMTaE+FwOnHo/Z3oP3BI9r+ztI0pytohM4fMQSBs2jrljwaG8PrBLjgddly2pLATWsY6ZCVkDQAWtzJFe3Jz6oBIUarRVlECgD9s+xDxZApHtrdiSWv+QkOH04nFa08EoMwh+1xOzGLJvNyaC6B8Mj4gOKFLlywoeJni1MWLUN/ehujomOzhfQBjOwCGzCdS0m/75VCuKDmaTPJ1W1cfWdh2cOR156Y3+KnQcsCthxKHnE6l+LoLrW0pF+wFvR58ukixLKeuvfMP+WcFULceAwepgmIKcOmM3W+9g1GZrW0AMzYdAF5nB17JBU9QNHbIAPC/725HKp3GyTOnFnRCgkNWdqhW8evRpejny5k7fWQLc7/Qf3ziyLzjq73Vfsw/nilyU+KQnXY7f3Pymwr2R3w8yt/UqnUkNBAZx18/YGZW3LR6Zd73zD1mFapqggj19csebw8AKzva4HTYcWgkjM6QcjJfjqjw7x/tQXd4FB3BAC4qkPZadiZjO7b/69+yO/8AYPUUZo8r2RuAmKBof1Z+yZ6Vzyyay98PkwvOIb/7rDIyv5q1gW8pXI9yEdhMBvgVux6FzkpdeyumLT0C6XQaW9fLD3zrfV6+lk/J/hjq6UE6lYLL69H9rcaUoBSAzW7HqvPPBQBs+ftzij6DG372OivHywUv45eBoOwfDvGR0H8ee9SE7zdPn4pZRy1HOpXCOwqMjM0mEJRNB5QRFM7INE5RfouqVPz+vQ/QFRrFpJoALj5iYgHg8k+eAZfHg56P96D7o49lf/6S1mZUuV0YGo/K7vDiUM71uPu1NwEAFyyaxw+XE2PVp88BALzz3AvIpOVH/JxDfv2g0r3BGOrq+jrNLpTkEE+l8JPX3wYAfO2YoybUXri8Hhx59mkAgHeeXa/o3ziaLbLcqNR2sIStHHvj7a5evLjnAFwOB75y9IoJ35+xfCmap09FfDyqqCDU73ZhCdsSq3Q9+tmfa5yqbbocAP7nrXcRjsVxRGtT3mszPsGeld1vvo2wgrPPBb4f9g1gUOZgSABIJ1N8V2STzNH85QYlKAUw75hVaJjUjshISLGE/wmVDvnwXqZCvq6tFR5/4VoIUrj7VcYJnb9wLmbW12Z97+gL1gFgCv6Ge3plf/achno0VPkQiSewteewoufr3c1cytU6U/5dOXIRT6Xw402bAQBfP3blBCe0+sLzAAAbn3hS0edzDnnTwS5ZQ7jEKOd6vNt9GM9/vA9Ohx03rs52QnXtrZjPthdvUrgeHJlX6oBikQgv47fOlDd+XQkefutdjERjWNjSiDNmZ/97y844FVXBIAYOdWLnxjdlf7bLYcdKtn1cqe3g9kbLzGmaFoZy+NGrTJfSNcsXT7hs85iLPg2ACfTk3kUEACs7WuF02HFwJCR7zD0H4axovzeGozH8YjNza3VusOdwubDq00zgu/GJvyj6/NUceT2g7KwAQO8edj1mab8eakAJSgGsvohxQG/+9RnZ01IBoCNYjam1QSRTaWxWUAQFMAOohnsZZ942S9mtsnKwtacPz360Bw67HV89RpAn3T4fVp57FgDgtd//WdFnH8065M1dPUgqiLABoHsXMxiqdfaMshjdX255D8PjUcxtasAnRffzzDpqOVpnTkd0bAybn/6Hos/mHPImFUammx2E1jpb+70BCAT26mVHZLUcr77wPNjtdny06U3ZredAtrqmxuhyg+HayrAeoVgcD7/1LgDg6zlO6NiLzwcAbPy/vyhSk5a2NsPncmEgMi574jKH/gOHkIzH4amq0nz+BwC8sHs/3unqhd/twnVHLeO/HmxqxBEnnwBAue3gHLJSsgaUd28AwAObtiCeTOH4aZNx1CQh7bjk1BMRaKjHcO9hRWoSIFLX1KwHZ0spQTEe6ie18yOIlUaE3PjnLV09GJM540IM3ikrvPZeLn74ChMJXbF0IT92/MizT4MvUI2+/QexS0H7KACcyUaZr+yTX1zLoe/AQSQTibIZ3XAsjp+zTujbJx3DF0QewzqgLX9TFhE67XacNGMKAODV/crXgzMy5TK6L+49gM2dPahyu3DrGma6stPjwSfWfRIA8Orv/6Toc4/qaEOdz4twLI73euS38nMQE9hy4Cevv41YMoljpk7iVZRpS45Ax/w5SERjeOPJZxR97qns1F41ZC2dSvGDA8u1P+5h04BfOXo5mljFd9X558LhcmLPlncVpUIBYO3MaQCYAlSl4PZG/aR2uCVOAVaDrvAofvce09n33VOO479+zEWM7dj0xJOKOt1qvR6+du01NetRZsKmFJSg5MFxl14Au92OnRvfUNStAgDr5jMV3FxxoVL0fFReJ/TagU68sHsfPE4n7jvzZNjsdhx3yWcAABv/8BfZ92cATA75NDYX+9cPPlL8bOlkCofLbHTv37gZA5FxLGppwnVHLUV9RxsWsbNPXvs/ZRHhidOnoL7Kh97RMWxSWHMBAN0fM3ujYXIHXF6P4s+Rg/964RUAwJeOWobFLU1Yftap8NfVYrCrG++//Jqizzxv4VwAzN0/StU1AOjZVV6j2zM6hp+ytSj3nnkSPE4Hjrv8QgBM4bTcYWQcPr2QjO3gCVsZ1FcA+NOOj/B2Vw9qfV7cecpxcLrdOPoznwIAvKaQvLYHqnEMWzfytw+VERwAGBsaRnhgEHa7HS0ztE+JAsCdL2/CeCKBE6ZPwQWL5mLywvmYtvQIJBMJvP7npxR95ifnzYLb6cCO3n7sHhxW/GzcWSkXmVcKSlByEGhswNHnfwoA8OKjv1X0GfU+L9ZMY4qPnnxfuUMGgK5dzKHsmCvtbhgSuPHvGxBPpnDGnBn4ysXnoXXWDERCIbz55N8Ufd7ps6bD53Lh44EhbFURIQNAFxuFdcyTfv+HGgyOR/GNFxgp9vYTj8H5X7gadocDO197nc9ry4XYAaWVFqAAGB0Y4o1u2xzpdympwYY9+/HnHTvhsNvxwNmn4JRrrwIAvPrbPypKZwDAeWw7JjfkSim4vdE+Z1ZZUoAA44QOjYQxs74W3z7nNCxlp6X++zd/UPR5cxvrsailCfFkSpVDBgSFrWN+ec5KOpPBV/7OzIu66sgjcM2VFyHY1IjBrm5Fk5YBYN0Cxu5tPNCpqLtLDE7BKdd67B8O4QesIv2D007AOdd9FgDTWqykKxQAPs2S+T+/r+6s9O7Zh1QiiapgsCxqtFJQgpKDi6+5DC3xGPa+857idMYn582C02HH1u7D2DMk746FXHADwCYtnAeHU9qNsmrx0cAQ7t3I/O63LZwDVzKJlx77HaKj0i9wE4O7PEttRAgI6zF1SeGZC6Tx6Nvb8OahbgS9Hny5nWnBfvanv1D0WU67HeeyFxGqdcgAcOA9ZibHtDKux9efewlj8QRWT+nAMck4Qn39igv+Vna0YmptEOFYHP/8eJ+q5+rdvRexyDh8wQCaZ0xT9VlSMRpP4P/98yUAwJeXLEDN6Cje/ecGxekMjrxu2LMfwwpq38TYX4G98cahbjz69jYAwDfmzYA9ncbzP38UqWRS0efxDpnAWdm/jVmPqUsWqf4sqbjntbfw8cAQOoIBXFEXQCqRxPM//5Wiz6rxenDKjKkAgD/vUBf4phIJdH7IfEY594dcUIIiwllHHoF7A16c8cbreO3hxxR/znVHLQWgnuUCQP/+gxgdHILL40HHgrmqP08q7vr36+iKxVGbiOP41zfh1d/+UdHntAeqce58JrpXe6gAYN+7zIyBqUsWlS1KzmSALz/zAtIA5nZ2oua59Ti4Xf7kWABYN382Gqp86BuL4BUV9Scc9m1lnMG0peUzModCYdzFFswev/Vd7Hrst4oKyQHgcyuYe67+8dFuRBU6MQ7pVAoHWCdUzvX4446deK2nD24Ap7/xOl7++SOKPsdpt+OKpYzzJHFWDu74AKlEEjUtTahrK1+U/I3n/41wKo3W0VEcuXEjNv9NWSH5gqYGHMumd558X31ws+9d9qyU0SHHkinc9A9m1smyjz9G8q9/41vA5eLypQv59I6SAW254NejjGdFLihBEeGQ3YGo3YH6cBj/Nbml5N0S+XD67Ok4sr0Vo7E4frH5PSLPVQknlHa7sX75cqRsNiw4fBhfWDJf0ed89ZiV8DideHX/IWxR2M0kRvdHuxGLROALVKOljBXoA02NeH0+Mw/lwvAwlrW1yP4Mmw34xglM8fVDb7wje9x/PlTKyLw7dy4ONjXBnUrh1poqBDxu2Z8xva6GvyWZq+VQC+6sTF+2mMjnSYHNZsM/lx2JiMeD5pERfHOhshTCZUsXYEZ9LXpHx/DHHR+qfq5ENCZEyWVcj5jPh/VHMp08Rx/uxWfmKUtP37aGOSt/2fGR7Bt782E/e2VD8/Sp8NfWqP48qTjY0YGtM5g6oGuTUb75QA68Tif+8ximW+zBN8melWlLy7c35IISFBG2bn4XZ/38cUSTKZw9bxbuO+NkWSTFZgO+wR6q/9m8FQORcSLPtfdthujM/sTEIUha4cyvXIfwnDl4bjLTbfL9tWv4WgGpaAv4ce0KZvPf+ZL8cd/5kE6lsH8rc0HZ7KOWE/nMUnA4nbjg27diy7x5eBt2eBwO/OWST0m6Yl6M8xfMxYLmRgyNR/HTN8gYmYM7PkAyHkdNcxOap08l8pml0Dx9Kk7+wtX458qj0BuLY25jPf5w4TklL5rMxS3Hr4LL4cA/d+3FGwonhOaCOyuzyrQ3AGbwVtPRR+Fvi5cglU7jqiOP4O2AVLgcdtx6PPMzd7/6JsYT6tQkDnvefhdAeW3Hutu+hq6Zs7Chgbn35n/OPQ0nTp8i6zMWNDXgfDa9c+fLG4k813goxBcOl2s9vNV+fPq/vo5XFy/Gh8kUajxuPHXpeWgL+GV9zudWLEZ7sBr7h0N4nL3cVS32vs3MammfN7ushE0OKEHJwRsHOvGFvzKTY7/0iWV46JOnwi6RpXz92KPwicntiMQTuH+jsvqVfPjwVca5zz5qRVla5KYuWcQPIrv554/j0be3wemw47efORsXHyFNSbHbbHj0vDPhc7nw+sEubNizn9jzcXebLDjhWGKfWQwnfe4KtM2eifDgENY9+Cvs6O1HRzCAF66+kL/wrxTaA9W470ymgPInr2+RfSNrISSiMXzMRlQL1mi/HjabDZ+5/RY43W68/dbbWPf4ExiNxXHKzGl46tLz4He7JH3OmXNm8He3fPclMg4IAHZvfgfx8Sjq2lrLUjgcbG7C2V+9HgDw8O/+jJvZepTbTzoGd5x0jOTP+f6pazC9rga9o2N4mB3yRQIfsmdl/vGry5ISXXTSGiw59SSkkklc+9NH8Pedu1HlduGvl67j24VLwet04tHzzoTdbsOT73+Ebb3K7u7Khw9eYfYaN1hQa5x145dQ29KM3oOdOPtnj2P/cAhzmxrwwtUXYZLEO7TmNdbjOycxZ/v7/35d0d1M+RDq60fnBx/BbrfzYzX0BkpQ8uD32z7ANX95Fql0GtcsX4y/X34+OoLFx2efOWcG7mA30Vf+sQG9o/LnYxRCz8d7MHCoCy6vB7NX5b/fgRTcPh8uuOM22O12vPnkM9j1xmZc9/R6PPb2Njjsdjx+/ln4wWknwO1wFPwMm40xuCfNmIrRWByf/6uyqwIK4f2XXwUAzFy+DN5qeZGIXLTNmYlTPn8VAOCv378P3Yf7sfaxP+C9nsNoC1Tj35+7pCRpC3rc+P0Fn0RzdRW2dh/G3a+SI68AM90XABacoL3RPebi8zFj+VLEIhH8+b9/hM2dPTjr139CKBrDCdOnYOO1lxW8y4nDwuZGPHremQCY1A4p9QQAkrEYPnqdqY9ZWAYCe/5/3QxfoBr7t27Hq7/7I37y+ts8Sbl1zdH4w4XnTJismosrly3Cl1cxis91T68npp4AwJ4t7yI6OoZgYwMmLVSWppUKf20NzvvG1wAwHZCHPtyFC//wNJ758GP4XC48del5uPX4VUUDPofdhp+dsxbL2lvQNxbB1559kegzcq3w849bDXsRG0YCs45azgd6f/z2XTjQP4hTHv0/7B0aweyGOmz6wmV5R+GL0eSvwhMXnYtqjxsv7jmAx97ZRvQZBdtRnmBPLihBKYBfb92By/74DCLxBE6eORVvf+kq3LZm1QRjE/C48Y01R+MvF6+Dw27Hr9/dQUyCE2PHS8z8Ce7CPq1w0Xe/idaZ0xHq68fTd/8EANM++IWn/8mPfr9p9Qpsvu4KXLp44m2uU2uD+OOF5/Lj0L/0t/X4UOE0zELoP3AIvXv2weFyYvEpJxL9bDH8tTW4+sc/hNPlwo4XX+GvPOiPjOPUx57Aa/sPocbrwePnn4WnLj2Pn3gpxuopHdj0+ctw9JQODI9HceEfnlJdDJqL919iCNv0ZUs0LYacsXwpzvnPGwAAf7//Z/xo+U0Hu3DG//4RXaFRzG9uwGvXXoZ7zzgJU2qy7+xxOey4ctkivPK5S1Dn8+L1g134f+tfIv6c3HosO/NU4p8txilfuBoLTzgWyUQCT3z7Lr7N+v6Nm3H9M88jnkxh3YI5ePc/rsZXjl6O6hx1qd7nxd2nn4hffOp0AMAP/v06ntm5m+gzppJJXoE9UsP1sDsduOKeO1HT3ITDe/fznSrxVAoXPvE0frt1B5wOO+44+Vi8du2lOHferAnp87mN9fjnlRfg0iULkUqncdkfnyFSeyLG/q3bMTY0DH9tDeasnnjnGCnUtbfi8h/9NwBg0x//it2b32H+/eEQTv7V/2FbTx9aqv14+rJP47efORtL2buGONhswKmzpuHNL16OeU0NODQSxmV/eoZI3ZoYO15k/MqC44/RPNhTAhsAsr9xGRAIBBAKhRAMBhEOk93AuZjTUIdHzzsTK9lxxYlUCtt6+7BvKIQarwerJrfzsvYvN2/Fjf/4F+Ip+RMCS6Fj3hx89Y+PIxmP4zunnIuxoWHi/8bJ116JM2/4IpKJBH529X/wRVRinDVnBn5+7mloYTdzKBrDlq5ejESjaA1U46iONtjtNsSSSXz57y/gsbfJkzUAOPGzl+Hsm5hn/Mllnyf++XanA1/4nx9j1lHL0X/gEH58yTUTrol32G245bhV+Maao+FkbzzuCo3i7a4e2Gw2zG6ow5zGegCMYbroD08TKRTOhy/+4ieYvWoF1v/sEfzzoV8S//y6tlbc+H+/QnV9Hd559nn85uZvTXhPQ5UP/3POqThnvlAU+WHfAD7sG4DX5cKK9hY0shNGN+zej8v+9AyxOi0xvNV+fGvD3+Cp8uEnl3+B7/wiiUUnrcHVP/4+AOAP3/pe3hlBy9pa8L+fPhNz2TRgLJnEO92H0R0eRa3Xi2OmdMDtZKL4u199E9984RVVc3EKYd6xq3Dtz+7D2PAIvnPyOUjG48T/jfO+8Z845qJPIzo2hgcuvTbvjKBLFy/Aj886GUF2qODQeBRvdXYjlkyhI1iNI9l5HKFoDNf+9Tk8SWAsQT6cc/NXsObyi7Btw8t47MZbiH++2+fDl3/9P2ifOxuH3t+Jn175hQldbh6nA/998nFZ91rtHw5ha3cvHHY7FjY3YhpbTPvB4QFc8IenFF97UApff/K3aJ01A3/67x8qnpwuB3L8NyUoEuCw23D+grn46jErsax9YvfGB4cH8KNX38BvtiprPZWKr/z+EUxZtAD/eODn2PCLx4l+9ic+fQ4u+PatAAobXA61Xg8+v3IJrv/EcrTmKfbasHs/vvHCv/F2l/xLBaWiuqEO33r+aThcTtx/0WdxcMcHxD7b7nDg4jv/C0eedVpRg8thdkMdblq9ApctWQhvTqFoJJ7AH3fsxC3rX9bEGXNYevopuPxH/42Rw3343pmfQTJGpsYFYIYXXvfIT9EyY1pBgyvGidOn4D+PPQprZ02b8L2u0Ch+9uY7+NGrb2rijDlc+J1v4Kh1ZxckU2owc8UyXPPgPfBU+fDv3/wBT/3g/oLvdTscuHTJAnztmJU8WRXj3e5e3PGv1/D3j/YQfUYxbHY7bnv2T6hvbyt5tpXg5M9diTO/8kWk02k8esP/41Ow+dDkr8L1n1iGLx61DHU5anQylcY/P96Lm//5EnYpHGQmBS0zpuHmp36PVDKJ7599AQY7yaUYnR4Prr7/+5h37CqEBwZx/4VX8/ep5cPiliZ87diV+MzCeXyQw2EkGsNvtu7AN194RdV1KaVw3GUX4lP/70b0fLwHd3/6csUDF6WCEhQNMaUmiJUdrWgJ+DEyHsNHA4N4q1ObqDgXR551Ki79/h0YD4Vx5xnnKx6lnYvVF56HT3/z6wCAlx7/Hf7GpnZKwW6zYUFTA5Z3tMLtcCAUjeH1Q13YP0zmuUrhou/+F1aeeyY+2vQm/ufzXyHymXanA5d+/w4sPe1kpBJJPHrjLfjg39JGuPtcThzZ1sJMAk2lMBgZx7/2HkA4Rj5izYXD5cItz/wB9e1t+Ns9P8VLjymbgpyLmpYmXPfLn6Jp2hQM9x7GTy77vOTbrBurfPjEpDZMqa3BaDyOgyMhvLL/EHGZOh/a5szEf/75NwCAe86/Al07yUTjc44+Cp994IdweT344NVN+NX1X0daomI6o64Gn5jUjqDXg9FYHFt7DmP7YXIFoMWw5oqLcc7Xb8BgVzd+8MmLiKkop/3HtTj1i8yEVDn7zmm344iWJhzJBnzhWAwv7ztItHavGD7/8/sw95hV2Pz0s/j9N75D5DPdPi8++8CPMHvVCsQi43j481/Jq0LnQ7XbhRUdrZjX1IBoMom+0Qg27DlAPB2cD95ANb7x3J9RFQzid7fegS3PkK0ZzIVc/50x2isQCGQymUwmEAhU/FnK+bLZbJmv/vHxzD3bNmU+c/stqj/P7nRkzv1/N2bu2bYpc8+2TZlP/ueXK/47ynnVtbdmfvD2vzP3bNuUWXLayao/L9DYkPmPx36WuWfbpswPtrycWXjCsRX/HeW8VpxzZuaebZsy3934fKaurVX1501ftjjzrQ1PZ+7Ztinzjef+kqmf1F7x31HO69Lvfztzz7ZNmS//+uGM3eFQ/XnHXnJ+5odvv5K5Z9umzDU/vTvjdLsr/jtKfTk9nsx/Pf/XzD3bNmVOv/7zqj/P7fNmLv7et3jbceLVl1b8d5TzmrRgXuaebZsyP9r6WmbmimWqP69h8qTM1/70v5l7tm3K3Lnphcz0I5dU/HeU8zrxs5dl7tm2KfOtF57OVNUENf235PhvWiRrIGQyGfz1B/cjnU5j1fnnYvnZpyv+rNZZM/Afj/0Mx1/GXG72zwd/IVk50QuGunrw4q+YKPkz3/p/quaAHHHyGnz1iccwY/lSjIdH8asb/h92vFRYqtYjtjzzHPa9uw2+QDUu+9F3FF8g6HC5sPaLn8V1jzyImuYm9Hy8Bw9edR0GDym/2LAS+MePf47x8CimLT0CZ37lOsWfE2hswBX33Il1t34NDpcTb/9jPR678RZNajm0QjIWw1M/egAAcPLnrsDc1Z9Q/FlTjliAG377S6z45BlIJZP4y513K763rFI49P6HeOPPT8Nut+OS738bwebinWfFsPJTZ+Gm//sV2ufORnhgEP/z+Rv4GSNGwau/+yMO792PmpYmXHznt2B3atvhJBU0xWNAnP7lz2Pt569GKpnEn+74Ad78q/Rr3YNNjTjx6stwzEWfhsPlxHh4FL+/7Q7DOWMOdqcD//HozzBt6REYOdyHX3356zgk44qBSQvm4fTrr8X841YDYG6AfezGWxTfYl1p1He04atPPA5fMICP39yC//3aNzA2LO0+KJvdjsVrT8Tp/3EtT/be/sd6/PHb30d8XLv6GS3B1eYAwL9+9Wv848c/l5xj9/ircMxFn8ZJ11wBX6AaqUQSf7v3p3hF4UWAesAFd9yGT5z3SSSiMfz65v/iuzikoH5SO0659iqs/NRZsNvtCPUP4Nf/+U3s2fKudg+sIdw+H276w6Nonj4VffsO4JEvfx19+w5I/vmZK5bh9Os/jxnLlwIA9r7zHv73a99AqK88aTvS6Jg/B1/+9cNweTx47/kX8X/f/C5iEfIpN1qDYnLYbDZc8J3bcNSnzgbAtIq98IvH+Iv0cuH2eTFzxZE48uzTcMTJa+DyMJH1tg0v46933Vu0iMsI8NfW4LpfPYi22TORTCTwym+ewKu/+2PBWolAQz3mH38MVpxzBmauYEZyJxMJvPjob/DCw48TLTCtBKYtOQLX/s998Pr9CPX1Y/3PfoW3//7PgsamefpULF57IlaccyaapjK3cIf6B/D0D3+Md559vpyPrgmOv+IinPv1rwBgLpv850O/wM6Nb+YlKg6nE1MWL8SyM9Zi2ZlrURUM8j/3p+/8gB8db1Q4nE5ced9d/IyYLc88h3/96jf8zce58Fb7MXvVSiw/+3QsWHMMf2HpW0/9HX+756eadBOWE3VtrfjSow+hvqMNsUgELz36W2z845MFbxuubWnGwpOOx4pzzsCURcw1DbHIONb/7BH8+zf/h3SSfAdnOTH/uNW46sffh9PlwsChTvzt7p8ovom6EChBsQBsNhtO+twVOO1Ln+ONxnBPLw69/yFC/YNAJoOqmiAapkxC++xZcIi6S/a+vRXrf/4rfLTpzUo9PnH4ggFccMdtWHzKCfzXunftRs+u3YiEwrA7HAg2NaJ52hQ0TRPGbqeSSbz99/V44RePoX//wQo8uTZomzMTl//ou2hhb/VNxGI4tOND9B88hFhkHC6PB3XtrWibPROBBqG7JBIK4ZVf/wH//u0TiIbVXW+vJyw7Yy3Ov/3/wetnus7GhoZxYMcHGOk5jFQyCY+/Cg2TOtA+dzY8VT7+5w7v3Y8XHn4Mb/9jvebdDeWCw+nEWTd9CWuuuJj/Wv/BQ+j6cBfCA4Ow2Wzw19WiaepktM6akTXQ7INXN+GFnz8qufjTCAg0NuDS73+bH3+fTqXQtfNjHN67D5FQGA6XE7UtzWiZMR31HW38zyViMbz55DP41y//1/BBnhjTli7G5T/6DmpbWzA2NIw7z/g0YmPklBRKUCyE5ulTcfK1V2LxKScWHYM/2NmN919+FW899Q8cel/9RWR6xbxjV+HEz16OWSuPLPiedDqNrg93Yev6DXj7mX+ayriI4XC5cPRnPoVjLvp00fqcRDSGPVvewdv/eB7vPf+iYdM5pRBoqMeJ11yOFWefDn9dbcH3jQ4O4cPXXseWvz2HXW9sNg0xycWkBXNx8rVXYcGaY+B0Fb6ioG//QWzb8BK2/O059HysXTt0JWGz2bD41JOw5oqLMXXxwoLvSyWTOLjjA7z77At457nnCyotRoenqgonfvYyDPf04vU/PUX0sylBsSDcPi8mL1qA1pnTGeObySA6FsHAwUPo3rWbaK+/ERBoqMeUxQvRMKkDvmAAqWQSY0PDGDjYiYM7PiTWom0UNE+fikkL56G2pRkurxfJWBwjh/vQt/8ADr2/E6mEdnMW9AaH04n2eXPQMW82qhvqYbfbkYhGMdDZjd7de3F4zz5kNJzRojd4q/2YcsRCNE+fAn9tLdLpNKLhUfQf7ETnhx8hdLiv0o9YVtS2NGPK4oWoa2uFN1CNVDKJcP8AYzu2f6BJXYaVQAkKBQUFBQUFhe4gx39XtM34uuuuw549ezA+Po7Nmzfj2GP1eWERBQUFBQUFRXlRMYJywQUX4P7778edd96JZcuW4ZVXXsGzzz6LyZMnV+qRKCgoKCgoKHSEikyue/311zMPPfRQ1tfef//9zPe+9z2ik+joi77oi77oi77oSx8v3U+SdblcWL58OdavX5/19fXr12P16tWVeCQKCgoKCgoKHcFZ+i3k0djYCKfTid7e7EFavb29aG1tnfB+t9sNj0cY2x0IBDR/RgoKCgoKCorKoaJFsrmtfDabLW9736233opQKMS/Ojs7y/WIFBQUFBQUFBVARQhKf38/ksnkBLWkubl5gqoCAHfddReCwSD/6ujoKNejUlBQUFBQUFQAFSEoiUQCW7Zswdq1a7O+vnbtWmzcuHHC++PxOMLhcNaLgoKCgoKCwryoSA0KANx777349a9/jc2bN2PTpk34/Oc/jylTpuDnP/95pR6JgoKCgoKCQieoGEF54okn0NDQgG9961toa2vD9u3bceaZZ+LAAenXXVNQUFBQUFCYE3TUPQUFBQUFBUVZYJhR9xQUFBQUFBQU+UAJCgUFBQUFBYXuULEaFBKgA9soKCgoKCiMAzl+25AEhfsF6cA2CgoKCgoK4yEQCJSsQTFkkSwAtLe3a1IgGwgE0NnZiY6ODlqAqyHoOpcHdJ3LA7rO5QNd6/JAy3UOBALo6uoq+T5DKigAJP1yakAHwpUHdJ3LA7rO5QFd5/KBrnV5oMU6S/08WiRLQUFBQUFBoTtQgkJBQUFBQUGhO1CCkoNYLIZvf/vbiMVilX4UU4Ouc3lA17k8oOtcPtC1Lg/0sM6GLZKloKCgoKCgMC+ogkJBQUFBQUGhO1CCQkFBQUFBQaE7UIJCQUFBQUFBoTtQgkJBQUFBQUGhO1CCIsJ1112HPXv2YHx8HJs3b8axxx5b6UcyPI477jg8/fTT6OzsRCaTwbnnnjvhPbfffjs6OzsRiUTw4osvYsGCBRV4UuPilltuwZtvvolQKITe3l48+eSTmDNnzoT30XVWjy9+8YvYunUrRkZGMDIygo0bN+L000/Peg9dZ7K45ZZbkMlkcN9992V9na6zetx+++3IZDJZr+7u7gnvqeQ6Z+gLmQsuuCATi8Uy11xzTWbevHmZ++67LxMOhzOTJ0+u+LMZ+XX66adn/vu//zuzbt26TCaTyZx77rlZ37/55pszIyMjmXXr1mUWLlyY+f3vf5/p7OzMVFdXV/zZjfJ69tlnM1deeWVmwYIFmcWLF2f+9re/Zfbt25epqqqi60z4dfbZZ2fOOOOMzOzZszOzZ8/OfPe7383EYrHMggUL6Dpr8FqxYkVmz549mXfffTdz33338V+n60zmdfvtt2e2bduWaWlp4V+NjY16WufKL5IeXq+//nrmoYceyvra+++/n/ne975X8WczyysfQenq6srcfPPN/N/dbndmaGgo8/nPf77iz2vUV2NjYyaTyWSOO+44us5leA0MDGQ++9nP0nUm/PL7/ZmdO3dmTj755MyLL76YRVDoOpN53X777Zl33nmn4Pcrvc40xQPA5XJh+fLlWL9+fdbX169fj9WrV1foqcyP6dOno62tLWvd4/E4Xn75ZbruKlBTUwMAGBwcBEDXWSvY7XZceOGF8Pv92LRpE11nwnjwwQfx97//HRs2bMj6Ol1nspg9ezY6OzuxZ88e/P73v8f06dMB6GOdDXtZIEk0NjbC6XSit7c36+u9vb1obW2t0FOZH9za5lv3qVOnVuKRTIF7770Xr7zyCnbs2AGArjNpLFq0CJs2bYLX68Xo6CjWrVuHDz74AEcffTQAus4kcOGFF+LII4/EypUrJ3yP7mdyeOONN3DFFVfgo48+QktLC775zW9i48aNWLhwoS7WmRIUETKZTNbfbTbbhK9RkAddd3L46U9/isWLF+ct8KbrTAY7d+7E0qVLUVtbi09/+tN4/PHHsWbNGv77dJ3VYdKkSfjxj3+MU089teiYdbrO6vHcc8/xf96+fTs2bdqE3bt348orr8Trr78OoLLrTFM8APr7+5FMJieoJc3NzRPYIwU59PT0AABdd0J44IEHcM455+DEE09EZ2cn/3W6zmSRSCSwe/dubNmyBbfddhu2bt2Kr3zlK3SdCWH58uVoaWnBli1bkEgkkEgkcMIJJ+CGG25AIpHg15KuM3lEIhFs27YNs2fP1sV+pgQFjMHZsmUL1q5dm/X1tWvXYuPGjRV6KvNj79696O7uzlp3l8uFNWvW0HWXiZ/85Cc477zzcNJJJ2Hfvn1Z36PrrC1sNhs8Hg9dZ0LYsGEDFi1ahKVLl/Kvt956C7/97W+xdOlS7Nmzh66zRnC73Zg/fz66u7t1s58rXkmshxfXZnz11Vdn5s2bl7n33nsz4XA4M2XKlIo/m5Fffr8/s2TJksySJUsymUwmc+ONN2aWLFnCt2/ffPPNmaGhocynPvWpzMKFCzO//e1vabugzNeDDz6YGRoayhx//PFZ7YJer5d/D11nMq8777wzc+yxx2amTp2aWbRoUea73/1uJplMZk455RS6zhq+crt46DqTef3oRz/KHH/88Zlp06ZljjrqqMzTTz+dGRkZ4f2eDta58oukl9d1112X2bt3byYajWY2b96c1aZJX8pea9asyeTDo48+yr/n9ttvz3R1dWXGx8czL730UmbhwoUVf24jvQrhyiuvzHofXWf1r1/+8pe8jejt7c08//zzPDmh66zdK5eg0HUm8+LmmsRiscyhQ4cyf/rTnzLz58/XzTrb2D9QUFBQUFBQUOgGtAaFgoKCgoKCQnegBIWCgoKCgoJCd6AEhYKCgoKCgkJ3oASFgoKCgoKCQnegBIWCgoKCgoJCd6AEhYKCgoKCgkJ3oASFgoKCgoKCQnegBIWCgoKCgoJCd6AEhYKCgoKCgkJ3oASFgoKCgoKCQnegBIWCgoKCgoJCd6AEhYKCgoKCgkJ3+P80ZW3FXvxCNwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note if using this format, `dy` must be the first argument. Additionally, a special flag must be set to True when calling pysolve_ivp, see below.\n", "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "\n", "# Since this is pure python we can njit it safely\n", "cy_diffeq = njit(cy_diffeq)\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " # Note if you did build a differential equation that has `dy` as the first argument then you must pass the following flag as `True`.\n", " # You could easily pass the `diffeq_nb` example which returns dy. You would just set this flag to False (and experience a hit to your performance).\n", " pass_dy_as_arg=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "b8cf0127", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "605 μs ± 48.8 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], "source": [ "%timeit pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol, pass_dy_as_arg=True)" ] }, { "cell_type": "markdown", "id": "297cf617", "metadata": {}, "source": [ "## `cysolve_ivp` Example" ] }, { "cell_type": "code", "execution_count": 9, "id": "8cb48453", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Content of stdout:\n", "_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(25057): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(25058): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(25181): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(28822): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(28829): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(29187): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cpp(29188): warning C4551: function call missing argument list\n", " Creating library C:\\Users\\joepr\\.ipython\\cython\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cp313-win_amd64.lib and object C:\\Users\\joepr\\.ipython\\cython\\Users\\joepr\\.ipython\\cython\\_cython_magic_14f038750644c2d5aa9f8f4f4f67bf25c9f503e72e42dad2f49add1d2fb7b8f1.cp313-win_amd64.exp\n", "Generating code\n", "Finished generating code" ] } ], "source": [ "%%cython --force\n", "# cython: boundscheck=False, wraparound=False, nonecheck=False, cdivision=True, initializedcheck=False\n", "from libcpp.utility cimport move\n", "from libcpp.vector cimport vector\n", "\n", "import numpy as np\n", "cimport numpy as np\n", "np.import_array()\n", "\n", "# Note the \"distutils\" and \"cython\" headers above are functional. They tell cython how to compile the code. In this case we want to use C++ and to turn off several safety checks (which improve performance).\n", "\n", "# The cython diffeq is much less flexible than the others described above. It must follow this format, including the type information. \n", "# Currently, CyRK only allows additional arguments to be passed in as a double array pointer (they all must be of type double). Mixed type args will be explored in the future if there is demand for it (make a GitHub issue if you'd like to see this feature!).\n", "# The \"noexcept nogil\" tells cython that the Python Global Interpretor Lock is not required, and that no exceptions should be raised by the code within this function (both improve performance).\n", "# If you do need the gil for your differential equation then you must use the `cysolve_ivp_gil` function instead of `cysolve_ivp`\n", "\n", "# Import the required functions from CyRK\n", "from CyRK cimport cysolve_ivp, DiffeqFuncType, WrapCySolverResult, CySolveOutput, PreEvalFunc\n", "\n", "# Note that currently you must provide the \"char* args, PreEvalFunc pre_eval_func\" as inputs even if they are unused.\n", "# See \"Advanced CySolver.md\" in the documentation for information about these parameters.\n", "cdef void cython_diffeq(double* dy, double t, double* y, char* args, PreEvalFunc pre_eval_func) noexcept nogil:\n", " \n", " # Unpack args\n", " # CySolver assumes an arbitrary data type for additional arguments. So we must cast them to the array of \n", " # doubles that we want to use for this equation\n", " cdef double* args_as_dbls = args\n", " cdef double a = args_as_dbls[0]\n", " cdef double b = args_as_dbls[1]\n", " \n", " # Build Coeffs\n", " cdef double coeff_1 = (1. - a * y[1])\n", " cdef double coeff_2 = (b * y[0] - 1.)\n", " \n", " # Store results\n", " dy[0] = coeff_1 * y[0]\n", " dy[1] = coeff_2 * y[1]\n", " # We can also capture additional output with cysolve_ivp.\n", " dy[2] = coeff_1\n", " dy[3] = coeff_2\n", "\n", "# Import the required functions from CyRK\n", "from CyRK cimport cysolve_ivp, DiffeqFuncType, WrapCySolverResult, CySolveOutput\n", "\n", "# Let's get the integration number for the RK45 method\n", "from CyRK cimport ODEMethod\n", "\n", "# Now let's import cysolve_ivp and build a function that runs it. We will not make this function `cdef` like the diffeq was. That way we can run it from python (this is not a requirement. If you want you can do everything within Cython).\n", "# Since this function is not `cdef` we can use Python types for its input. We just need to clean them up and convert them to pure C before we call cysolve_ivp.\n", "def run_cysolver(tuple t_span, double[::1] y0):\n", " \n", " # Cast our diffeq to the accepted format\n", " cdef DiffeqFuncType diffeq = cython_diffeq\n", " \n", " # Convert the python user input to pure C types\n", " cdef size_t num_y = len(y0)\n", " cdef double t_start = t_span[0]\n", " cdef double t_end = t_span[1]\n", " cdef vector[double] y0_vec = vector[double](num_y)\n", " cdef size_t yi\n", " for yi in range(num_y):\n", " y0_vec[yi] = y0[yi]\n", "\n", " # Assume constant additional arguments\n", " # These args are stored in a vector\n", " cdef vector[char] args_vec = vector[char](2 * sizeof(double)) # Size of vector is size of arg datatype x number of args.\n", "\n", " # Convert to double pointer to more easily populate the vector.\n", " cdef double* args_as_dbl = args_vec.data()\n", " args_as_dbl[0] = 0.01\n", " args_as_dbl[1] = 0.02\n", " # Keep in mind these args could be any arbitrary C/C++ structure.\n", "\n", " # Run the integrator!\n", " cdef CySolveOutput result = cysolve_ivp(\n", " diffeq,\n", " t_start,\n", " t_end,\n", " y0_vec,\n", " method = ODEMethod.RK45, # Integration method\n", " rtol = 1.0e-7,\n", " atol = 1.0e-8,\n", " args_vec = args_vec,\n", " num_extra = 2\n", " )\n", "\n", " # The CySolveOutput is not accesible via Python. We need to wrap it first\n", " cdef WrapCySolverResult pysafe_result = WrapCySolverResult()\n", " pysafe_result.set_cyresult_pointer(move(result))\n", "\n", " return pysafe_result\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "50766a13", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Assume we are working in a Jupyter notebook so we don't need to import `run_cysolver` if it was defined in an earlier cell.\n", "# from my_cython_code import run_cysolver\n", "\n", "import numpy as np\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "\n", "result = run_cysolver(time_span, initial_conds)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "\n", "# Can also plot the extra output. They are small for this example so scaling them up by 100\n", "ax.plot(result.t, 100*result.y[2], c='C7', ls=':')\n", "ax.plot(result.t, 100*result.y[3], c='C8', ls=':')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "10fc3a1c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "48.6 μs ± 2.59 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "%timeit run_cysolver(time_span, initial_conds)" ] }, { "cell_type": "markdown", "id": "0afe8eb9-bbbb-4bea-9760-b264ee1be849", "metadata": {}, "source": [ "## Result Structure\n", "Below are the details of the Python-accesible CySolverResult object (called `WrapCySolverResult` defined in \"cysolver_api.pyx\")." ] }, { "cell_type": "code", "execution_count": 12, "id": "0ee0eb34-b2aa-4a94-845a-3b348e447baf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "result.success = True\n", "result.message = Integration completed without issue.\n", "result.integration_method = Explicit Runge-Kutta method of order 5(4)\n", "result.steps_taken = 359\n", "result.num_y = 2\n", "result.status = 1\n", "result.status_message = Integration completed without issue.\n", "\n", "----------------------------------------------------\n", "CyRK v0.17.0 - WrapCySolverResult Diagnostic.\n", "----------------------------------------------------\n", "# of y: 2.\n", "# of dy: 2.\n", "# of events: 0.\n", "Success: True.\n", "Error Code: 1.\n", "Status: Integration completed without issue..\n", "Size: 360.\n", "Steps Taken: 359.\n", "Event Termination: False.\n", "Integrator Message:\n", "\tIntegration completed without issue.\n", "\n", "----------------- CySolverResult -------------------\n", "Capture Extra: False.\n", "Capture Dense Output: True.\n", "Integration Direction: Forward.\n", "Integration Method: Explicit Runge-Kutta method of order 5(4).\n", "# of Interpolates: 360.\n", "\n", "---- Additional Argument Info ----\n", "args size (bytes): 0.\n", "args size (doubles): 0.\n", "Args Pointer is Null.\n", "End of Additional Argument Info.\n", "\n", "------------------ CySolverBase --------------------\n", "Integration Method: 4.\n", "# of y: 2.\n", "# of dy: 2.\n", "PySolver: True.\n", "---- Current State Info ----\n", "t_now: 50.0.\n", "y_now:\n", "\ty0 = 7.80877e+00.\n", "\ty1 = 1.55291e+02.\n", "dy_now:\n", "\tdy0 = -4.31755e+00.\n", "\tdy1 = -1.31038e+02.\n", "End of Current State Info.\n", "\n", "-------------- Diagnostic Complete -----------------\n", "\n", "\n", "result.t[:5] = [0. 0.0169395 0.1863345 0.40108733 0.61055121]\n", "result.y[0, :5] = [20. 20.27322359 23.26013881 27.79582383 33.17688363]\n", "result.y[1, :5] = [20. 19.79866938 17.99022292 16.19002847 14.91379838]\n", "\n", "Solution at new_t: [[162.12948857]\n", " [138.57630073]]\n", "Solution at new_t_arr:\n", "\ty0= [ 7.64646062 6.84445728 7.58548524 9.64250937 13.36192161] \n", "\ty1= [150.14546696 97.75140921 63.65655868 42.03353971 28.55544287]\n", "Direct call new_t: [[162.12948857]\n", " [138.57630073]]\n" ] } ], "source": [ "# First run pysolver to get a result\n", "from numba import njit\n", "import numpy as np\n", "from CyRK import pysolve_ivp\n", "\n", "@njit\n", "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "result = pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol, pass_dy_as_arg=True, dense_output=True)\n", "\n", "# Basic information\n", "print(\"result.success = \", result.success)\n", "print(\"result.message = \", result.message)\n", "print(\"result.integration_method =\", result.integration_method)\n", "print(\"result.steps_taken = \", result.steps_taken)\n", "print(\"result.num_y = \", result.num_y)\n", "print(\"result.status = \", result.status)\n", "print(\"result.status_message = \", result.status_message)\n", "print()\n", "\n", "# More detailed information (helpful for debugging)\n", "result.print_diagnostics()\n", "print()\n", "\n", "# Data arrays (just printing the first few)\n", "print(\"result.t[:5] =\", result.t[:5])\n", "print(\"result.y[0, :5] =\", result.y[0, :5])\n", "print(\"result.y[1, :5] =\", result.y[1, :5])\n", "print()\n", "\n", "# Since we captured dense outputs, we can make calls to the diffeq solution\n", "new_t = 25.5\n", "print(\"Solution at new_t:\", result.call(new_t))\n", "new_t_arr = np.linspace(20.0, 22.0, 5)\n", "y_at_t_arr = result.call_vectorize(new_t_arr)\n", "print(\"Solution at new_t_arr:\\n\\ty0=\", y_at_t_arr[0,:], \"\\n\\ty1=\", y_at_t_arr[1,:])\n", "# Can also directly call the result with either a float or an array\n", "print(\"Direct call new_t:\", result(new_t))" ] }, { "cell_type": "markdown", "id": "c706b5bb", "metadata": {}, "source": [ "## `t_eval` and dense output example\n", "Read more about `t_eval` and dense output in \"Documentation/Dense Output and t_eval.md\"" ] }, { "cell_type": "code", "execution_count": 13, "id": "506b853f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Regular Shape: (2, 60)\n", "t_eval Shape: (2, 500)\n", "Dense Shape: (2, 250)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "\n", "from numba import njit\n", "cy_diffeq = njit(cy_diffeq)\n", " \n", "import numpy as np\n", "from CyRK import pysolve_ivp\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-4\n", "atol = 1.0e-5\n", "\n", "result_normal = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"DOP853\", rtol=rtol, atol=atol,\n", " pass_dy_as_arg=True)\n", "\n", "print('Regular Shape: ', result_normal.y.shape)\n", "\n", "# Use t_eval to provide more data points than the integrator used\n", "t_eval = np.linspace(0., 50.0, 500)\n", "result_t_eval = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " t_eval=t_eval,\n", " pass_dy_as_arg=True)\n", "\n", "print('t_eval Shape: ', result_t_eval.y.shape)\n", "\n", "# Or we could get the dense output and treat the result as a function\n", "result_dense = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " dense_output=True,\n", " pass_dy_as_arg=True)\n", "\n", "t_dense = np.linspace(3.0, 12.0, 250)\n", "y_dense = result_dense(t_dense)\n", "print('Dense Shape: ', y_dense.shape)\n", "\n", "import matplotlib.pyplot as plt\n", "fig, axes = plt.subplots(ncols=3, figsize=(10., 4.0))\n", "axes[0].plot(result_normal.t, result_normal.y[0], c='C0')\n", "axes[0].plot(result_normal.t, result_normal.y[1], c='C3')\n", "axes[0].set(title='Normal')\n", "\n", "axes[1].plot(result_t_eval.t, result_t_eval.y[0], c='C0')\n", "axes[1].plot(result_t_eval.t, result_t_eval.y[1], c='C3')\n", "axes[1].set(title='t_eval')\n", "\n", "axes[2].plot(t_dense, y_dense[0], c='C0')\n", "axes[2].plot(t_dense, y_dense[1], c='C3')\n", "axes[2].set(title='Dense Output')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b8553f35", "metadata": {}, "source": [ "## Backward Integration" ] }, { "cell_type": "code", "execution_count": 14, "id": "094818de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "solve_ivp shape: (2, 173)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "pysolve_ivp shape: (2, 173)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "\n", "initial_conds = np.asarray((70, 64.), dtype=np.float64, order='C')\n", "# time_span = (0., 50.)\n", "time_span = (50., 0.)\n", "rtol = 1.0e-6\n", "atol = 1.0e-8\n", "\n", "t_eval = None\n", "# t_eval = np.linspace(0.0, 50.0, 30)\n", "# t_eval = np.linspace(50.0, 0.0, 30)\n", "\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, t_eval=t_eval)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"solve_ivp shape:\", result.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "ax.set(title='solve_ivp')\n", "plt.show()\n", "\n", "\n", "from CyRK import pysolve_ivp\n", "result_cy = \\\n", " pysolve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, t_eval=t_eval)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"pysolve_ivp shape:\", result_cy.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result_cy.t, result_cy.y[0], c='C0')\n", "ax.plot(result_cy.t, result_cy.y[1], c='C3')\n", "ax.set(title='pysolve_ivp')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "eb5fb90a", "metadata": {}, "source": [ "## Backward Integration (with Dense)" ] }, { "cell_type": "code", "execution_count": 15, "id": "18eb011a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "solve_ivp shape: (2, 175)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "pysolve_ivp shape: (2, 175)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "\n", "initial_conds = np.asarray((70, 64.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "# time_span = (50., 0.)\n", "rtol = 1.0e-6\n", "atol = 1.0e-8\n", "\n", "\n", "t_eval = np.linspace(0.0, 50.0, 30)\n", "# t_eval = np.linspace(50.0, 0.0, 30)\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, dense_output=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"solve_ivp shape:\", result.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "sci_dense = result.sol(t_eval)\n", "ax.plot(t_eval, sci_dense[0], c='C0')\n", "ax.plot(t_eval, sci_dense[1], c='C3')\n", "ax.set(title='solve_ivp')\n", "plt.show()\n", "\n", "\n", "from CyRK import pysolve_ivp\n", "result_cy = \\\n", " pysolve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, dense_output=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"pysolve_ivp shape:\", result_cy.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "pysolve_dense = result_cy(t_eval)\n", "ax.plot(t_eval, pysolve_dense[0], c='C0')\n", "ax.plot(t_eval, pysolve_dense[1], c='C3')\n", "ax.set(title='pysolve_ivp')\n", "plt.show()\n", "\n", "print(np.allclose(pysolve_dense, sci_dense))\n" ] }, { "cell_type": "markdown", "id": "25e80401-08b9-45c1-9551-425d85fe6fbe", "metadata": {}, "source": [ "## Events" ] }, { "cell_type": "markdown", "id": "e2be1eb8-c40c-4e96-9611-ebed459cecc7", "metadata": {}, "source": [ "### Events with SciPy" ] }, { "cell_type": "code", "execution_count": 16, "id": "310ab5c2-9c8d-47d5-a617-88b5f3bc0604", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "import matplotlib.pyplot as plt\n", "\n", "# Example with SciPy\n", "def event_func_1(t, y, a, b, c):\n", "\n", " # Check if t greater than or equal to 5.0\n", " if t >= 5.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "def event_func_2(t, y, a, b, c):\n", "\n", " # Check y values.\n", " # In the time span [0,10]: \n", " # y_0 starts at 1, spikes then goes below zero and oscillates with a min below -10. Have this return if y_0 < -10\n", " if y[0] < -10.0:\n", " return 0.0\n", " elif y[2] > 30.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "\n", "def event_func_3(t, y, a, b, c):\n", "\n", " # We won't actually use the args but lets just check they are correct.\n", " args_correct = False\n", " if a == 10.0 and b == 28.0 and c == 8.0 / 3.0:\n", " args_correct = True\n", "\n", " # Then return events if args are correct and t greater than 4 (only every .5)\n", " if args_correct and t >= 4:\n", " if t <= 4.1:\n", " return 0.0\n", " elif t >= 4.5 and t <= 4.6:\n", " return 0.0\n", " elif t >= 5.0 and t <= 5.1:\n", " return 0.0\n", " elif t >= 5.5 and t <= 5.6:\n", " return 0.0\n", " elif t >= 6.0 and t <= 6.1:\n", " return 0.0\n", " else:\n", " return 1.0\n", " else:\n", " return 1.0\n", "\n", "def lorenz_diffeq(t, y, a, b, c):\n", " # Unpack y\n", " y0 = y[0]\n", " y1 = y[1]\n", " y2 = y[2]\n", "\n", " dy = np.empty(3, dtype=np.float64)\n", " \n", " dy[0] = a * (y1 - y0)\n", " dy[1] = y0 * (b - y2) - y1\n", " dy[2] = y0 * y1 - c * y2\n", " return dy\n", "\n", "def run_scipy_with_events(terminate = False):\n", "\n", " event_func_1.direction = 0\n", " event_func_1.terminal = 10000\n", " if terminate:\n", " event_func_1.terminal = 1\n", " event_func_2.direction = 0\n", " event_func_2.terminal = 10000\n", " event_func_3.direction = 0\n", " event_func_3.terminal = 10000\n", "\n", "\n", " time_span = (0.0, 10.0)\n", " y0 = np.asarray([1.0, 0.0, 0.0])\n", " args = (10.0, 28.0, 8.0/3.0)\n", " solution = solve_ivp(lorenz_diffeq, time_span, y0, method=\"RK45\",\n", " args=args, rtol=1.0e-6, atol=1.0e-6, t_eval=None, dense_output=False,\n", " events=(event_func_1, event_func_2, event_func_3))\n", "\n", " return solution" ] }, { "cell_type": "code", "execution_count": 17, "id": "6205c2ab-8bd2-43f7-88f1-99826eae5b2e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "11 ms ± 740 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# SciPy Times\n", "# terminate off: 23.6ms; 23.7ms; 23.8ms\n", "# terminate on: 10.5ms; 10.3ms; 10.4ms\n", "\n", "terminate = True\n", "solution = run_scipy_with_events(terminate)\n", "\n", "%timeit run_scipy_with_events(terminate)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(solution.t, solution.y[0], label='y0', c='C0')\n", "ax.plot(solution.t, solution.y[1], label='y1', c='C3')\n", "ax.plot(solution.t, solution.y[2], label='y2', c='C6')\n", "# Event 1 will be dots.\n", "# Event 2 will be X's\n", "# Event 3 will be +'s\n", "ax.scatter(solution.t_events[1], solution.y_events[1][:, 0], c='C0', marker='o')\n", "ax.scatter(solution.t_events[0], solution.y_events[0][:, 1], c='C3', marker='x', s=120)\n", "ax.scatter(solution.t_events[1], solution.y_events[1][:, 2], c='C6', marker='o')\n", "ax.scatter(solution.t_events[2], solution.y_events[2][:, 0], c='C0', marker='+', s=120)\n", "ax.set(xlabel='Time', ylabel='y')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c9c9e7e5-ea0f-4b36-868b-279a170c3bc3", "metadata": {}, "source": [ "### Events with pysolve_ivp" ] }, { "cell_type": "code", "execution_count": 18, "id": "4dca83e9-6646-4495-a57e-50d0cfd63eb5", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from CyRK import pysolve_ivp\n", "import matplotlib.pyplot as plt\n", "from numba import njit\n", "\n", "# Example with SciPy\n", "@njit\n", "def event_func_1(t, y, a, b, c):\n", "\n", " # Check if t greater than or equal to 5.0\n", " if t >= 5.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def event_func_2(t, y, a, b, c):\n", "\n", " # Check y values.\n", " # In the time span [0,10]: \n", " # y_0 starts at 1, spikes then goes below zero and oscillates with a min below -10. Have this return if y_0 < -10\n", " if y[0] < -10.0:\n", " return 0.0\n", " elif y[2] > 30.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def event_func_3(t, y, a, b, c):\n", "\n", " # We won't actually use the args but lets just check they are correct.\n", " args_correct = False\n", " if a == 10.0 and b == 28.0 and c == 8.0 / 3.0:\n", " args_correct = True\n", "\n", " # Then return events if args are correct and t greater than 8\n", " if args_correct:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def lorenz_diffeq(dy, t, y, a, b, c):\n", " # Unpack y\n", " y0 = y[0]\n", " y1 = y[1]\n", " y2 = y[2]\n", " \n", " dy[0] = a * (y1 - y0)\n", " dy[1] = y0 * (b - y2) - y1\n", " dy[2] = y0 * y1 - c * y2\n", "\n", "def run_pysove_with_events(terminate = False):\n", "\n", " event_func_1.direction = 0\n", " event_func_1.terminal = 10000\n", " if terminate:\n", " event_func_1.terminal = 1\n", " event_func_2.direction = 0\n", " event_func_2.terminal = 10000\n", " event_func_3.direction = 0\n", " event_func_3.terminal = 10000\n", "\n", "\n", " time_span = (0.0, 10.0)\n", " y0 = np.asarray([1.0, 0.0, 0.0])\n", " args = (10.0, 28.0, 8.0/3.0)\n", " solution = pysolve_ivp(lorenz_diffeq, time_span, y0, method=\"RK45\",\n", " args=args, rtol=1.0e-6, atol=1.0e-6, t_eval=None, dense_output=False, pass_dy_as_arg=True,\n", " events=(event_func_1, event_func_2, event_func_3))\n", "\n", " return solution" ] }, { "cell_type": "code", "execution_count": 23, "id": "eef95f0d-efd8-4066-9228-882bf7c97d74", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "337 μs ± 17.6 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PySolver Times\n", "# CyRK v0.16.0 (njit-off)\n", "# terminate off: 1.20ms; 1.22ms; 1.73ms\n", "# terminate on: 612us; 631us; 620us\n", "# CyRK v0.16.0 (njit-on)\n", "# terminate off: 642us; 634us; 648us\n", "# terminate on: 314us; 310us; 314us\n", "\n", "\n", "terminate = True\n", "solution = run_pysove_with_events(terminate)\n", "\n", "%timeit run_pysove_with_events(terminate)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(solution.t, solution.y[0], label='y0', c='C0')\n", "ax.plot(solution.t, solution.y[1], label='y1', c='C3')\n", "ax.plot(solution.t, solution.y[2], label='y2', c='C6')\n", "# Event 1 will be dots.\n", "ax.scatter(solution.t_events[0], solution.y_events[0][2, :], c='C6', marker='o')\n", "# Event 2 will be X's\n", "ax.scatter(solution.t_events[1], solution.y_events[1][0, :], c='C0', marker='x', s=120)\n", "ax.scatter(solution.t_events[1], solution.y_events[1][2, :], c='C6', marker='x', s=120)\n", "# Event 3 we won't plot because it should be every point.\n", "ax.set(xlabel='Time', ylabel='y')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "94fa0283", "metadata": {}, "source": [ "## Parallelizing `pysolve_ivp`\n", "Example of how to parallelize `pysolve_ivp` using Python's [multiprocessing](https://docs.python.org/3/library/multiprocessing.html) package.\n", "\n", "To ensure that the workers don't try to read the entire Jupyter Notebook thread we will wrote helper functions to a\n", "separate file found in this directory called \"pysolve_parallel.py\"" ] }, { "cell_type": "code", "execution_count": 20, "id": "8e76e9f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Triggering parallelized cell...\n", "Working with 1 processes...\n", "\tFinished in 9.49 s.\n", "\n", "Working with 2 processes...\n", "\tFinished in 4.41 s.\n", "\n", "Working with 3 processes...\n", "\tFinished in 2.95 s.\n", "\n", "Working with 4 processes...\n", "\tFinished in 2.57 s.\n", "\n", "Working with 5 processes...\n", "\tFinished in 2.31 s.\n", "\n", "Working with 6 processes...\n", "\tFinished in 2.18 s.\n", "\n", "Working with 7 processes...\n", "\tFinished in 2.22 s.\n", "\n", "Working with 8 processes...\n", "\tFinished in 2.22 s.\n", "\n", "Working with 9 processes...\n", "\tFinished in 2.23 s.\n", "\n", "Working with 10 processes...\n", "\tFinished in 2.07 s.\n", "\n", "Working with 11 processes...\n", "\tFinished in 2.20 s.\n", "\n", "Working with 12 processes...\n", "\tFinished in 2.20 s.\n", "\n", "Working with 13 processes...\n", "\tFinished in 2.18 s.\n", "\n", "Working with 14 processes...\n", "\tFinished in 2.25 s.\n", "\n", "Working with 15 processes...\n", "\tFinished in 2.41 s.\n", "\n" ] } ], "source": [ "import multiprocessing\n", "import numpy as np\n", "# Import the functions we just wrote to disk\n", "import pysolve_parallel \n", "import time\n", "\n", "def run_notebook_parallel():\n", " num_simulations = 500\n", " base_y0 = np.array([10.0, 5.0])\n", " \n", " # Create the task list\n", " tasks = []\n", " for i in range(num_simulations): \n", " # Note: We pass 'pysolve_parallel.my_diffeq', not a local function\n", " task_params = (\n", " pysolve_parallel.my_diffeq, \n", " (0.0, 200.0),\n", " base_y0,\n", " (1.5, 1.0, 3.0, 1.0),\n", " 1e-5,\n", " 1e-8\n", " )\n", " tasks.append(task_params)\n", "\n", " # Use 'with' context manager to ensure pool closes\n", " # We use pysolve_parallel.solve_worker so the parallel process can find it\n", " for procs in range(1, multiprocessing.cpu_count()):\n", " print(f\"Working with {procs} processes...\")\n", " t0 = time.perf_counter_ns()/1.0e9\n", " with multiprocessing.Pool(processes=procs) as pool:\n", " results = pool.map(pysolve_parallel.solve_worker, tasks)\n", " t1 = time.perf_counter_ns()/1.0e9\n", " print(f\"\\tFinished in {(t1-t0):0.2f} s.\\n\")\n", "\n", "if __name__ == \"__main__\":\n", " print(\"Triggering parallelized cell...\")\n", " run_notebook_parallel()" ] } ], "metadata": { "kernelspec": { "display_name": "cyrk313", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }