{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "fee5d2e7", "metadata": {}, "source": [ "# Solutions Approchée et Exacte d'un problème de Riemann pour le système de l'exercice" ] }, { "cell_type": "code", "execution_count": 111, "id": "8ed41bca", "metadata": { "lines_to_next_cell": 2 }, "outputs": [], "source": [ "%reset -f\n", "%matplotlib inline\n", "\n", "import numpy as np\n", "from numpy.linalg import norm\n", "\n", "from scipy.optimize import fsolve # pour la solution exacte\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rcParams[\"figure.figsize\"] = (20,5)\n", "plt.rcParams.update({'font.size': 15})\n", "\n", "import os" ] }, { "cell_type": "code", "execution_count": 112, "id": "3d0502f7", "metadata": {}, "outputs": [], "source": [ "a = 3\n", "\n", "# ===================================================================================\n", "# Données Problèmes de Riemann\n", "# ===================================================================================\n", "# 'nom_test' : [ (rho_L,u_L), (rho_R,u_R), t_final ]\n", "IC = { '1-ddc 2-ddc - 1': [(1,1),(1,-1),2],\n", " '1-ddc 2-ddc - 2': [(1,1),(2,1),2],\n", " '1-ddc 2-ddc - 3': [(2,1),(1,1),2],\n", " '1-ddc 2-ddc - 4': [(1,-1),(1,1),2], \n", " }\n", "\n", "KEYS = list(IC.keys())\n", "\n", "# ===================================================================================\n", "# Creation d'un dossier par cas test et suppression des fichiers existants\n", "# ===================================================================================\n", "for key in KEYS:\n", " try :\n", " name_dir = f\"test_{key}\"\n", " os.makedirs(name_dir, exist_ok=True)\n", " for file in os.scandir(name_dir):\n", " os.remove(file)\n", " except OSError as error:\n", " print(\"Directory '%s' can not be created\")\n" ] }, { "attachments": {}, "cell_type": "markdown", "id": "bf177565", "metadata": {}, "source": [ "## Solution exacte" ] }, { "cell_type": "code", "execution_count": 113, "id": "6d01af2c", "metadata": {}, "outputs": [], "source": [ "def sol_exacte_riemann(xx,t,rho_L,u_L,rho_R,u_R):\n", "\n", " global a\n", "\n", " # État intermediaire constant\n", " rho_s = (rho_L+rho_R)/2-(u_R-u_L)/(2*a)\n", " u_s = -(rho_R-rho_L)*a/2+(u_R+u_L)/2\n", "\n", " # vitesses des ondes de contact\n", " vit_1 = -a\n", " vit_2 = a\n", "\n", " # solution exacte\n", " rrho = np.zeros_like(xx)\n", " uu = np.zeros_like(xx)\n", " \n", " mask_L = (xx <= vit_1*t)\n", " rrho[mask_L] = rho_L \n", " uu[mask_L] = u_L \n", " mask_s = (xx > vit_1*t) & (xx < vit_2*t) \n", " rrho[mask_s] = rho_s \n", " uu[mask_s] = u_s\n", " mask_R = (xx >= vit_2*t)\n", " rrho[mask_R] = rho_R \n", " uu[mask_R] = u_R \n", " \n", " return rrho,uu, rho_s, u_s" ] }, { "cell_type": "code", "execution_count": 114, "id": "2b8937d8", "metadata": {}, "outputs": [], "source": [ "def affichage_onde(key,xx=None,t_ref=None,colorbar=True):\n", " val = IC[key]\n", " rho_L, u_L = val[0]\n", " rho_R, u_R = val[1]\n", " t_final = val[2]\n", "\n", " fig,(ax1,ax2)=plt.subplots(nrows=1,ncols=2)\n", " plt.suptitle(f\"Test : {key}\"); \n", " ax1.set_xlabel('$x$')\n", " ax1.set_ylabel('$t$')\n", " ax1.set_title(r'$\\varrho$')\n", " ax2.set_xlabel('$x$')\n", " ax2.set_ylabel('$t$')\n", " ax2.set_title('$u$')\n", "\n", " dt = 0.01\n", " tt = np.arange(0,t_final,dt)\n", " if xx is None:\n", " xx = np.linspace(-10,10,501)\n", " X , T = np.meshgrid(xx, tt)\n", " RHO, U = [], []\n", " for t in tt:\n", " rrho_ex,uu_ex, rho_s, u_s = sol_exacte_riemann(xx,t,rho_L,u_L,rho_R,u_R)\n", " RHO.append(rrho_ex)\n", " U.append(uu_ex)\n", " RHO = np.array(RHO)\n", " U = np.array(U)\n", " RHO.reshape(len(tt),len(xx))\n", " U.reshape(len(tt),len(xx))\n", "\n", " cp1 = ax1.contourf(X, T, RHO)\n", " cp2 = ax2.contourf(X, T, U)\n", " if t_ref is not None:\n", " ax1.plot(xx, t_ref*np.ones(len(xx)), color='C3', linestyle='--' , marker='.', linewidth=1 )\n", " ax2.plot(xx, t_ref*np.ones(len(xx)), color='C3', linestyle='--' , marker='.', linewidth=1 )\n", " if colorbar:\n", " plt.colorbar(cp1,ax=ax1) # Add a colorbar to a plot\n", " plt.colorbar(cp2,ax=ax2) # Add a colorbar to a plot\n", " return fig,(ax1,ax2)" ] }, { "cell_type": "code", "execution_count": 115, "id": "79ab8999", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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kdaWZh22oOgR1kYjYBbgcmAK8NDN/14LDrgUeYtu5+wcAjzC+299KqvPVUz5QdQiSJmD+uTdUHYJ63xoar4000lpKk2IxSS03Zc16pq5zloLUa7bOHuKCucuqDkNdIiJ2AL4A7A8ck5ktmfuYmVuBVUD9UOCTgO9k5n2teB9pkK1evHfVIUgah9tP259F026uOgz1viuBPSPi8OENEXEQsG+5r6Wc5qa2mLF8LQ+8xeluktTDzgOOBf438OSIeH7Nvlsyc2tE3AZcm5mvH94REccATwSeU75eVO76r8wcHnL+PuCaiPgIcFn5PscCL2nb2UgDZJ+9NlYdgqRx2Dp7qOoQ1GXK0eHHli+fBkyryamWZ+aD9XlYZn4nIlYAF0fEOylGfC8Grs/Mq1sdo8UkSRIAs2fdXXUI6i4vLp/PabDv6cAdFHnE9nX7zgdqh0V8oXx+HfApgMy8vkyI/gV4C/AL4NWZeVUrApcG3ZK5yzid46sOQ1KTTj3ouqpDUPfZg8dyqGHDr0fLw14JfBj4D4qZaJcDb29HgBaT1DZT1yUP7O2d3aRe4RQ31crMfSbSppl+ZbvLKEYlSWqD1Yv3Zt67O3IPAEmTsHHhHBZNu6zqMNRlMvMOHrvT7Uht9mmw7V6KL/Be1464arlmktpmxvK1VYcgqUknn7iy6hAkSS20Yn6jQYWSus3SM8+uOgRpQiwmqa1ciFvqfltnD3HCtFuqDkOS1GKHr7yz6hAkjcLF8tXLLCaprRydJHW/Uw92nr4k9SPvDiV1N0cQqpdZTFLbOTpJkiRJkqT+YTFJkgaYU9wkqb9tXrpL1SFIasApbup1FpPUdk51k7rX8gUfrToESVIbLZm7jI0L51QdhqQ6TnFTr7OYpI7Ya9WWqkOQVGfmYRuqDkGS1AEnvOObVYcgqYaL46sfWExSR0xZs77qECTVuWDusqpDkCRJGigbF85xcXz1BYtJkjSAts4eqjoESVKHLJp2M0PzZlUdhiTggb2j6hCklrCYpI5xqpvUPWbPurvqECRJHXTexR+rOgRJwFMO/VXVIUgtYTFJHeNUN6l7OMVNkgbP7aftX3UI0kDbuHAOS8zB1CcsJqmj9j3/tqpDkAbeySeurDoESVIFvnrKB6oOQRpoS888u+oQpJaxmKSOm7ouqw5BkiRpILl2kiSpFSwmSdKAOWHaLVWHIEmqyPr5O1UdgjSQLOSq31hMUsdNv31r1SFIA2vmYRuqDkGSVCGnuknVcBF89RuLSeq4KWvWO9VNqsDW2UMuvC1JYvPSXaoOQRooLn6vfmQxSZWYsXxt1SFIA+fUg6+rOgRJUhdYMneZU26kDnJEoPqRxSRVZq9VW6oOQRoYMw/b4FpJkqRHPXzGb6oOQRoIjgRUv7KYpMpMWbO+6hCkgeH0NkmSpM4amjeLJeZg6lMWkyRJkqQB41Q3SdJkVFJMiog5EbEkIn4YEQ9HxDVN9DkrInKEx9/XtPvUCG0OaOtJaUJciFtqv62zh6oOQVKXMAdTrfnn3lB1CFJfczqp+llVI5MOBI4FflY+mvFJ4JC6x+Jy35V1bdc0aHvHpCJWW7gQt9R+yxd8tOoQ1KMmUngo+x0YEVdFxIMRcXdEnB8RT6prY+GhGuZgetSiaTezceGcqsOQ+pJT3DQZEfHMiFhZ5lIbIuK9EbF9E/0OKnOw30TEPRFxdUT8STti3KEdB23C1zLzKwARcSmw+1gdMnM98LhFdiLiPcCazPxBXfPfZeZ3WxSr2myvVVtYf9ROVYch9aWZh22oOgT1tuHCw3eBKc10iIjpwDcpChUnAX8AvB94CnB8XfM1wOvqtt0x4WjVDHMwPc7SM8/m9MuPrzoMqe848k8TFRG7AVcDtwLHAfsBH6QYDHTGKP1mlf1uBk4uN78LuCoinp2Z61oZZyXFpMx8ZLLHiIgnAy8C/mXyEalKU9asZ+q++/HA3lF1KFJf2Tp7yIW3NVnjLjwAfwXsDPxZZt5b9r0H+EpEHJSZN9a0tfDQYeZgamT14r2Z9+6W/h9DGmi3n7Y/H5l2WdVhqHe9mSKXellm3g98IyKmAWdFxPvLbY28FJha9rsXICK+DdxN8eXg+a0MspcX4F4E7Ahc0mDfMyPi/ojYGhHXR8QRHY5N4+R0N6n1Zs+6u+oQ1OMmWHh4DnDjcBJTugpIiiRHvc8crM+smH9O1SFIfeUph/6q6hDU244BVtQVjS6hKDCNdl3dEfg98Nuabb8tt7V85EYvF5NeCdycmfXz/W8B/gb4M+A1wPYUlbw/7nB8kiQNop2A+lXffw88Asyr227hoTeZg0nSKF6055qqQ1BvO4BiKYBHZeadwIPlvpF8sWzzwYjYIyL2AD4MbAK+0Ooge7KYFBFPoajIfa5+X2aek5nnZ+a1mXkpMB/4FfAPIxzrjRFxY0TcOPTI5rbGLUmd5BQ3VeQ24A8jYseabX9EUVh4cs02Cw89qF052KZ7Jj37TpO0evHeVYcg9YWNC+ewaNrNVYeh3rYbcG+D7ZvKfQ1l5gbgKOBE4Nfl42XA0Zm5sdVBVrUA92S9gmKY1n+O1TAzN0fEcopktdH+C4ELAabvuIf3qa/Qvuffxu1v8Y4iUiucfOLKqkNQB216eBe+fP9zx9lrw+4RUbt+0YXlNXGyPgH8b+BjEXEWxQLc5wEPlw+gKDzUdoqIKygWmvwHtl2oW92jLTnYs549xRysYivmn8Pp/tWTJm3pmWdXHYI6ZNPDu3Dp/c+bQM8rmsnBGl0XY4Ttxc7iC59LgZuAN5SbTwOuiIhDy9FNLdOrxaRXAtdn5i/H0cckpQdMXZcuxC1N0tbZQ5ww7Zaqw1D3uzszD2r1QTNzTUS8kWJY9ZsoprddSHEd/vUo/UYtPKhrmIP1scNX3sn1C2ZXHYbUsxzhpyaNlYNtAnZtsH06jUcsDXsXRY1nUWY+BBAR3wR+DrwTePtEgh1Jz01zi4h9gOfTYHj1CO13pljA6qY2hqUWcSFuafJOPfi6qkPQgMvM/wBmAs8Gngq8FZgDNHPnNgsPXcocrP8tmnYzGxc6SlyaKBezV4usoW5tpIiYBTyRurWU6hwA/GS4kASQmUPAT4D9Wh1kJSOTImIXilvTATwNmBYRi8rXyzPzwYi4Dbg2M19f1/2VFAt5XtrguNOBy4HPUqzZsDvwjvI9XtHyE1FbODpJmhxHJakbZOYW4EcAEfEXFF9gfX6k9hYeOsMcTJKkrncl8K6ImJqZD5TbTgI2A9eO0m8dcGxETCmLSETEE4BnAV9rdZBVTXPbg21XEx9+/XTgDorYtm/Q95XAyhEWkNoKbATOKN9jC/Ad4IjMvLFBe0nqK1tn199ES5q4iRQeImIa8I/AtygKD0dRLLR9ambeU7ax8FAdczCN6kmv2lD87ZQ0Lk5xUwtdQDEl7UsRsRjYFzgL+FBm3j/cqMGXP5+kWCvpyxFxHsUaS6cBT6Fco7CVKikmZeYdFCc2Wpt9Rtj+nFH6bKFYrVw9bMbytTzgQtzShDjFTS02kcLDw8BzgVOBnYEfAy/PzMtq2lh4qIg5mMayZO4yXrPwncy4/LaqQ5F6ilPc1CqZuSkiFgDnUowoupdiLcqz6po+LgfLzJsi4iXAmcBnys0/Al6UmT9sdZy9ugC3+txeq7aw/qidqg5D6ikzD9vgFDe11EQKD5n5O+DFY/Sx8CB1saVnns3plx9fdRhSz9i8dJeqQ1CfycxbgfljtNmnwbaVQEdu69xzC3BrMExZs77qEKSec8HcZVWHIEnqE7eftn/VIUg9YePCOSwxB9MAspikrrXv+Q6vlprlWkmSpFY6+WUd+WJb6nl3v+ChsRtJfchikiT1gdmz7q46BElSH1k07eaqQ5B6wj57NbongdT/LCZJUh9wipskqdWc6iaNbmjeLKe4aWBZTFJXc6qbNLaZh22oOgRJUh/66ikfqDoEqaudd/HHqg5BqozFJHW9qeuy6hCkrrV19pCjkiRJbeNdqqTGHLmnQWcxSV1vxvK1VYcgda1TD76u6hAkSX3MKTxSY47c06CzmKSe4OgkSZKkagzNm1V1CJKkLmMxSZJ61NbZQ5ww7Zaqw5Ak9bmHz/hN1SFIXcUpbpLFJPUIp7pJ23KKmySpE5bMXeboJKmGU9wki0nqIXut2lJ1CFLXcFSSJKmT5p97Q9UhSF3BRemlgsUk9Ywpa9ZXHYLUNZYv+GjVIUiSJA2UoXmzXJReKllMkqQes3X2UNUhSJIGzKJpNzvVTQNv/fydqg5B6hoWk9RTvKubJElSNZzqpkHnF3rSYywmqae4ELfkFDdJUjUWTbuZjQvnVB2GVImhebNYMf+cqsOQuobFJPUcF+LWIJt52IaqQ5AkDbClZ55ddQhSJRyZJz2exST1nClr1jvdTQPrAhd9lCRVbPXivasOQeqojQvnsGjazVWHIXUVi0nqSU530yByVJIkqRs41UeDxhF50rYsJklSjzh6z9VVhyBJkiRJFpMkqVecMO2WqkOQJAlwqpsGh4vOS41VUkyKiDkRsSQifhgRD0fENU302ScissHjkgZtj4uIH0XEloi4NSJOasuJqFL7nn9b1SFIHXPyiSurDkFSHzAHU6s41U2DwiluUmNVjUw6EDgW+Fn5GI93AofUPM6o3RkRhwNfBFYBxwBXAJ+LiBdPMmZ1IRfi1iDYOnvIUUmqxEQKD2W/gyLiqoj4TUTcExFXR8SfNGhn4aHzzMHUMpuX7lJ1CFJbOQJPVYmIZ0bEyoh4MCI2RMR7I2L7Jvu+LCL+KyI2l7nY1yPiia2OcYdWH7BJX8vMrwBExKXA7uPo+9PM/O4o+98DfCsz316+XhURBwL/BFw1oWjVtWYsX8sDb3Hoqfrb8gUfrToEDa7hwsN3gSnNdIiIWcDVwM3AyeXmdwFXRcSzM3Nd2W648HAe8PbyfT4XEZsy0+t1+5iDSVKTHIGnKkTEbhS51K3AccB+wAcpBgOdMUpXIuINwLnA+ynyr92A+bSh9lNJMSkzH2nHcSPiCcBRFElprUuAiyJiembe1473liSpD02k8PBSYCrwssy8t+z7beBuioLR+WU7Cw8VMAdTKy2Zu4zTOb7qMKS2cK0kVejNwM4UudT9wDciYhpwVkS8v9y2jYjYHfgw8LbM/ETNri+3I8heXID7onKo/V0R8aGI2Llm337AjsCauj6rKc51bqeCVOc41U39bOvsoapD0ACbYOFhR+D3wG9rtv223BbwuMLD5+v6XgIcEhHTJ/C+aj9zMG3DqW7qV3e/4KGqQ9DgOgZYUVc0uoSiwHTEKP1eUT5/ul2B1eqlYtJW4OPA64EFwBLgLRQ/1GG7lc/31vXdVLdffWTG8rVVhyC1zakHX1d1CNJ4fRF4EPhgROwREXtQfEu2CfhC2cbCQ28xB9OIlsxdxtC8WVWHIbWcU9xUoQOoy5Ey806K/OqAUfr9CfBT4PURsT4iHoqI70XEoe0Isqo1k8YtM+8C3lqz6ZqI+DVwXkQ8JzN/UNu8rnuMsJ2IeCPwRoCdtntS6wJWR+21agvrj9qp6jCklpp52AYX3lbPycwNEXEUcDmPTXm6Czg6MzeWry089JBO5GBPfVpTa4qqS5138cc4/eDjqw5DahlH3Kliu7FtjgRFnjRajrQn8AyKdZX+FvhN+fz1iNg/M3/dyiB7ppg0gkspFu58HvADHktCd61rN/z63voDZOaFwIUA03fcw/lSPWrKmvVwlPOa1V8umLus6hDUI+7//U6s+O954+x1xe4RcWPNhgvLa+KkRMRTKK7PNwFvKDefBlwREYeW36wNa7rwoK7T0hzsWc+e4mfe424/bX/2/fjPqw5DmrSNC+ewdO7ZVYehHnD/73fiG/892kChkTSVgzW6LsYI24dtBzwJeHlmfh0eXbdyHcWXQu+ZQLCjvlkvy7rntcBDbDv06wDgEcZ/C1z1kH3Pv63qEKSWmXnYhqpDUP+7OzMPqnlMupBUehfFl1WLMvPrZTJzIvAwxa3lYQKFB3UdczA9zldP+UDVIUgtccI7vll1COp/Y+Vgm9g2RwKYzug50j3l8zXDG8p1l24CnjnhaEfQ68WkReXzTQCZuRVYBby8rt1JwHe8i4gkSW13APCTzHx05dLMHAJ+QrFWElh46AfmYJIktcca6nKkiJgFPJFt15ustZriS56o2x4U+VVLVTLNLSJ2obg9MMDTgGkRMZyULM/MByPiNuDazHx92ecsilsN3wDcD/wpxbefX8rM/1dz+PdRzOX/CHBZ+T7HAi9p5zlJUis5xU09bB1wbERMKYtIw3dvexbwNSgKDxExXHhYUtPXwkObmYOpnZzqpl43NG8Wi6ZdVnUY0pXAuyJiamY+UG47CdgMXDtKv8uBMynumLscoLxD7h8BLZ+7WdXIpD0o7ujyBeD5FEOuhl/vUbbZAahdjXENxW3wLqL4wbwa+ED5/KjMvJ7i27IXAiuAPwdenZlXtelc1EX2WrWl6hCkSXOKm7pFROwSEYvKYsPTgBnDr8uiBBFxW0T8e023TwJPBb4cES+NiIUUhYWnUK6PU3ofcGREfCQijoyI91MUHt7bgVMbZOZgahunuqnXnXfxx6oOQQK4gOJOql+KiBeWN6w4C/hQOW0N2DYHy8wbga8A/x4RfxERLwW+SjEa/OOtDrKSkUmZeQfbDr2qb7NP3etLePwtaEfrexlF4qoBM2XNeqbuux8P7D3qr5fUtbbOHnJUkrrJcOGh1vDrpwN3UFd4yMybIuIlFN+Mfabc/CPgRZn5w5p215dFqn+huM38L7Dw0HbmYGq3zUt3YefXPFh1GNK43X7a/lWHIAGQmZsiYgFwLsWo7nuBD1MUlGrVf/kD8FqKL3w+BOxCMap4fmZuosV6/W5u0jZmLF/LA2/xzm7qTacefF3VIUiPmkjhody2EljZxPEvw8KD1FeWzF3GX817G1NW/7LqUKRxcWSduklm3grMH6PNPg22/ZbiS7q3tCeyx/T6AtxSQ053U686YdotVYcgSdKk3LffE6oOQRqXoXmzqg5B6jkWkySpS2ydPVR1CJIkTdrdL3ho7EZSF1k/f6eqQ5B6jsUk9aUpa9ZXHYI0bk5xkyT1gxXzz3Gkh3qKU9yk8bOYpL41dV1WHYLUtK2zh5ziJknqG/PPvaHqEKSmbF66S9UhSD3JYpL61ozla6sOQWra8gUfrToESZJaZtG0m9m40BuiqLsNzZvFEu+iK02IxST1NRfiVi9wrSRJUj864R3frDoEaVQPn/GbqkOQepbFJPU1106SJEmSJKm1LCZJUsWc4iZJ6kdOdVM3c4qbNDkWk9T3nOqmbjbzsA1VhyBJUtssPfPsqkOQGnKReGlyLCap7znVTd3sAr8RkyT1udWL9646BOlxNi6cw6JpN1cdhtTTLCZpIOx7/m1VhyBt4+QTV1YdgiRJbbdi/jlVhyA9jiPmpMmzmKSBMXVdVh2CJEnSQBqaN6vqECRJLWQxSZIqcsK0W6oOQZKkjlh7iv/tUHdwUXipNfxXXQNjxvK1VYcgPcopbpKkQeJUN3ULp7hJrWExSQPFqW7qBltnDzkqSZI0cDYv3aXqEDTgXAxeah2LSRoojk5SN1i+4KNVhyBJUsctmbvMKUaqlCPkpNaxmKSBs9eqLVWHoAG2dfZQ1SFIklSZJ71qQ9UhaEDdftr+VYcg9RWLSRo4U9asrzoESZIkSR3kF3pSa1lMkqQOOvXg66oOQZKkyiyZu4yhebOqDkMDyCluUmtZTNJAcqqbqjDzsA0uvC1JGnjnXfyxqkPQgHHxd6n1KikmRcSciFgSET+MiIcj4pom+hwcERdFxG0R8WBE/DQizoyInerafSoissHjgLadkHqOU91UhQvmLqs6BEkDzhxM3cL1a9QpQ/NmscQcTGq5qkYmHQgcC/ysfDTjJGA/YHHZ9+PAXwNLG7RdAxxS97hjUhGr7+x7/m1Vh6ABMvMwFxxV75lI4aGm78si4r8iYnNE/CYivh4RT6zZb+GhGuZg6gpfPeUDVYegAeFIOPWiiHhmRKwsv8TZEBHvjYjtx9F/u4i4qcytFrYjxh3acdAmfC0zvwIQEZcCuzfRZ3Fmbqx5fU1EbAGWRMTembmuZt/vMvO7LYxXfWrquuSBvaPqMDQAjt5zddUhSBMxXHj4LjCl2U4R8QbgXOD9wLuA3YD5bJt3rAFeV7ftjgnGquaYg0mS1MUiYjfgauBW4DiKL3Q+SDEY6IwmD/MG4GltCbBUSTEpMx+ZQJ+NDTYPLz6yB7CuwX5J6gqulaQeNe7CQ0TsDnwYeFtmfqJm15cbNLfw0GHmYOomt5+2P/t+/OdVh6E+5mLv6lFvBnYGXpaZ9wPfiIhpwFkR8f5y24jKYtS/An8HfLJdQfb6AtyHAo8AP63b/syIuD8itkbE9RFxRAWxqQdMv31r1SFoADjFTb1qIoUH4BXl86dbGYu6jjmYJs2pbmo3p7ipRx0DrKgrGl1CUWBq5rr6PuAGYGUbYntUzxaTImJP4B+Bz9T9kG8B/gb4M+A1wPYUlbw/7nyU6nZT1qxn6rqsOgz1sa2zh1x4W4PmTygKDK+PiPUR8VBEfC8iDm3Q1sJDDzIHUyt5ly21i4u8q4cdQLEUwKMy807gwXLfiCLi2RRLCLyzbdGVerKYFBFTgM8DvwXeUbsvM8/JzPMz89rMvJRijYZfAf8wwrHeGBE3RsSNQ49sbnfo6kIzlq+tOgT1sVMPvq7qEKRO2xN4BsWc/ndTFBZ+B3w9ImbWtLPw0IPalYNtumcig+DUD5bMXeZUJLWFI9/Uw3YD7m2wfVO5bzQfAz6emW2/21RVC3BPWEQEcDHFoqCHZeam0dpn5uaIWE6RrDbafyFwIcD0HfdwiMqA2mvVFtYftdPYDaVxcq0kdcLQ0A7c+ctm1lF+nN0j4saa1xeW18TJ2g54EvDyzPw6QER8m2JdnbcC74Gi8FDbKSKuoFho8h+A41sQh1qsnTnYs549xRxsgK09ZTvmvbvqKNRPNi6cU3UIGgBDQztwx/oZE+naTA7W6LoYI2wvdka8kuILvYbX3VbruWISxaKexwEvysw1YzWuYZIiqaO2zh6qOgRpNHdn5kFtOO495fM1wxsy8/6IuAl45kidxio8qCuYg0nqCd6tWV1urBxsE7Brg+3TaTxiiYjYEfgAsBjYLiJ2BaaVu58YEVMz84GJBtxIT01zi4i/B94GvDYzr2+yz84UC1jd1M7Y1NumrFlfdQjqQ05x04BaTVE8qM/kg2LB5rFYeOhC5mBqpxXzz3Gqm1rKKW7qcWuoWxspImYBT6RuLaUaTwT2Aj5EUYzaBPyw3HcJj92FtWUqGZkUEbsAx5YvnwZMi4hF5evlmflgRNwGXJuZry/7vBr4N+BTwK8i4vk1h1ybmRsjYjpwOfBZ4DaKWxi/o3yPVyCNYuq69FsMtczW2UNOcdOguhw4EzgKWA5QXp//CDh7pE4WHjrDHEzdav65N3D9gtlVh6E+sHrx3lWHIE3WlcC76kYTnQRsBq4doc9vKXKvWnsCn6NYQuCbrQ6yqmluewBfqNs2/PrpwB0UsW1fs//F5fMp5aPW6ygSnK3ARopFP/cAtgDfAY7IzBuRRjFj+VoeeIvzq9Uayxd8tOoQpEmbSOEhM2+MiK8A/x4RfwfcDfwt8BDw8fK4Fh6qYw6mrrRo2s18eeF8Zlze9jVj1ceG5s1ixfxzxm4odbcLgLcDX4qIxcC+wFnAh2rvolqbg2Xm76lZYqDcv0/5xx9l5vdaHWQlxaTMvINth7/Xt9mn7vUpbJvA1PfZArxsUsFpoLkQt1ph5mEbqg5BapWJFB4AXksxb/9DwC7ADcD8mgWbLTxUxBxM3WzpmWdz+uXHVx2Getj8c2+oOgRp0jJzU0QsAM4FvkaxTtKHKQpKtRrlYB3TiwtwS20zZc16OMrRSZIEEys8lNt+C7ylfDTqY+FBkiRpBJl5KzB/jDb7jLH/DsbI4yajpxbglqRecMHcZVWHIElST/KW7pqMRdNurjoEaWBYTJLq7LVqS9UhqIc5xU2SpIlbeuaI6/RLozp85Z1VhyANFItJUp0pa9ZXHYJ6mKOSJEmaHO/GpfHauHCOo5KkDrOYJDWw7/neSUTjd/KJK6sOQZKknufduDRejmiTOs9ikjSCqeuy6hDUY06YdkvVIUiS1BduP23/qkNQjxiaN6vqEKSBZDFJGsH027dWHYIkSZKkUdy33xOqDkEaSBaTpBG4dpLGwylukiS1zldP+UDVIahHOMVNqobFJGkUTnVTM7bOHnKKmyRJLbZ56S5Vh6Au52LtUnUsJkmjmLF8bdUhqAfMnnV31SFIktR3lniHVI3Bxdql6lhMkqRJOnrP1VWHIEmSJEkdYzFJGoNT3TQap7hJktQ+TnXTSLzjn1Qti0nSGJzqptGcevB1VYcgSVLfWjJ3mbd+V0Mu0i5Vy2KS1IS9Vm2pOgR1oZmHbXBUkiRJbXbexR+rOgR1GUesSdWzmCQ1Ycqa9VWHoC50gQuDSpLUEU5p0rChebNcnF3qAhaTpCY5Okm1Zh62oeoQJEkaGE5p0jBHqkndwWKS1KQpa9a7GLce5R3cJEnqLNdOkqTuYTFJkibAtZIkSeqs9fN3qjoEVcyCotQ9LCZJ4zD99q1Vh6Au4BQ3SZI6z6lucoqb1D0sJknj4FQ3bZ095MLbkiRVZPXivasOQRVxEXapu1hMksZpxvK1VYegCp168HVVhyBJ0sBaMf8cpzoNKEemSd2lkmJSRMyJiCUR8cOIeDgirmmy3/SIuCgiNkXEfRGxNCL+oEG74yLiRxGxJSJujYiTWn4SGmiOThpMW2cPuVaSpJ5mDqZ+8PAZv6k6BHWYI9Kk7lPVyKQDgWOBn5WPZv0ncCTwBuAU4GDgstoGEXE48EVgFXAMcAXwuYh48SRjlh7l6CRJg2AihYeI2CcissHjkgZtLTx0njmYJEldLiKeGRErI+LBiNgQEe+NiO3H6HNw+cXPbWW/n0bEmRHRlrsX7NCOgzbha5n5FYCIuBTYfawOEXEIcDRwRGZ+q9z2K+B7EfHCzLy6bPoe4FuZ+fby9aqIOBD4J+CqFp+HpAHiFDcNoOHCw3eBKePs+07ghprXd9furCk8nAe8vXyfz0XEpsz0et0+5mDqeUvmLuN0jq86DHXQivnnVB2C1DERsRtwNXArcBywH/BBisFAZ4zS9aSy7WLg58CzgfeVzye2Os5KikmZ+cgEuh0D/Ho4iSmP8/2I+EW57+qIeAJwFEVSWusS4KKImJ6Z9000bqnW1HXJA3tH1WGoQ5zipgE17sJDjZ9m5ndH2W/hoQLmYOoXh6+8k+sXzK46DHWAU9w0gN4M7Ay8LDPvB74REdOAsyLi/eW2RhZn5saa19dExBZgSUTsnZnrWhlk09PcIuLIiBjvt5KtdACwpsH21eU+KKpwOzZot5riXOe2LToNHKe6DZblCz5adQhSx02w8DCmmsLD5+t2XQIcEhHT2/G+vcocTNrWomk3s3HhnKrDUJsNzZvlqCQNomOAFXVFo0soCkxHjNSprpA0bPjb8D1aF15hPGsmrQSe0+oAxmE34N4G2zeV+6h5rm+3qW6/1BJ7rdpSdQjqgJmHbag6BKkXXVSus3RXRHwoInau2WfhYXzMwaQGlp55dtUhqM3mn3vD2I2k/rPNlziZeSfwII99idOsQ4FHgJ+2JrTHjFpMiojaaXAjzueJiD+JiE78b6vRLbSiwfb61zHCdiLijRFxY0TcOPTI5haEqEEyZc36qkNQBxy95+qqQ5B6yVbg48DrgQXAEuAtFN+oDbPwMIZBy8E23dOWQXCSetyiaTdXHYJUhWa+xBlTROwJ/CPwmVGmxk3YWGsm/WNEvAX4MUUS8NKIAPhxZj5Y024KsM3tYVtsEzCjwfZdeewHvalmW30baPCBZOaFwIUA03fcw/u9a9xcO6n/uVaSul0MBU+4c9yzoHaPiBtrXl9YXhMnJTPvAt5as+maiPg1cF5EPCczf1DbvK77iIWHATRQOdiznj3Fz1wTsnHhHGZcflvVYUgaQBPMv6C5HKzZL3Eax1ZMj/888FvgHRMJcixjFZOWUSQHz6YI/F0UC2Y+EhG3Az+kGH71p4zv9rITsQZ4QYPtB/DYrWnXAg+V266ta/MI7Y9RA2j67Vt5YO+23G1RXcApbupjd2fmQR16r0sp7tr2POAHTKDwMIDMwaQmLD3zbE6//Piqw1AbHL7yzqpDkNplrBxsE9vmSADTaSJHiuLbp4sp7sp7WGZuGqPLhIw6zS0zf56ZH83MN1Dc0vco4OnACcCnKZKDPy+P8+Z2BFjjSmDP8lbCAETEQcC+5T4ycyuwCnh5Xd+TgO94FxG1g1Pd+tsFc5dVHYLUD7LuubbwUMvCQ8kcTGqed/vqPxsXznGKmwbZGupypIiYBTyRxjfEqPdh4DjguMxspv2EjDUy6VGZWbv69zrgaxN904jYBTi2fPk0YFpELCpfL8/MByPiNuDazHx9+f7fiYgVwMUR8U6KJGoxcH1mXl1z+PdRDKn/CMW3ZceWj5dMNF5pLPuefxu3v8U7ivSbk09cWXUIUr8YvsbfBEXhISKGCw9LatpZeGjAHEwa3Yr553A6x1cdhlrIxdU14K4E3hURUzPzgXLbScBmHj/6dxsR8ffA24BXZOb17Qyy6WJSi+0BfKFu2/DrpwN3UMS2fV2bV1JU2f6D4pu4y4G31zbIzOvLpOhfKBb8/AXw6sy8qoXxS9tw7aT+snX2kGslaeBNpPAQEWcBU4EbgPsppmG9C/hSZv6/msNbeKiGOZj60urFezPv3euqDkMtcPtp+1cdglS1CyiusV+KiMUUI4HPAj5Uu5B2gxzs1cC/AZ8CfhURz6855trM3NjKICspJmXmHYxyZ5KyzT4Ntt0LvK58jNb3Mh6bwy91xIzla3nA0UmS+stECg9rgHcCbwB2Bu4EPgD8a+1BLDxUwxxMkqTulpmbImIBcC7FaOR7Kb7QOauuaX0O9uLy+ZTyUet1FEWmlqlqZJIkdbVTD76u6hCkyk2k8JCZlwCXNHn8y7DwIKkFnOrWP756ygeqDkGqXGbeCswfo80+da9PYdsiUtuMugC3pPGZus47G/cDp7hJktR7Ni/dpeoQNEkupi71DotJUgvNWL626hDUAo5KkiSp9yyZu4yhebOqDkOTsGL+OVWHIKlJFpOkFnN0kiRJkiSpn1lMkqQaTnGTJKl3PXzGb6oOQRPkXdyk3mIxSWoxp7r1Nqe4SZLUu5zq1rtceFvqLRaTpDbYa9WWqkPQBMw8bIOjkiRJ6nHnXfyxqkPQOLl4utR7LCZJbTBlzfqqQ9AEXDB3WdUhSJKkFnDKVO8YmjeLJeZgUs+xmCS1iaOTesvMwzZUHYIkSWqRpxz6q6pDUJMcSSb1JotJUps4Oqm3OCpJkqT+8aI911Qdgprg+lZS77KYJEmSJKmvLJp2s1PdJKmNLCZJbeRUt97gFDdJkvqPdwfrfvPPvaHqECRNkMUkqY2mrFnP1HVZdRgaxdbZQ05xkySpT61evHfVIWgEt5+2P4um3Vx1GJImyGKS1GYzlq+tOgSN4tSDr6s6BEmS1CYr5p9TdQgagSPHpN5mMUmSJEmSJElNs5gkdYBT3brXCdNuqToESZLURk516z4bF86pOgRJk2QxSeoAp7p1p5NPXFl1CJIkqc2c6tZ9lp55dtUhSJoki0lShzg6qbtsnT3kqCRJkgbE4SvvrDoElRwpJvUHi0lShzg6qbssX/DRqkOQJEkdsmjazU6t6hKOFJP6g8UkqYP2WrWl6hAEzDxsQ9UhSJKkDrv7BQ9VHcLAc4SY1D8sJkkaOBfMXVZ1CJIkqcP22Wtj1SEMvEXTbq46BEktYjFJ6qApa9ZXHYIkSdJAWjJ3mVPdJKlFKikmRcQzI2JlRDwYERsi4r0Rsf0Yfc6KiBzh8fc17T41QpsD2n9m0tic6lYtp7hJzYuIORGxJCJ+GBEPR8Q1TfQ5MCK+Xl7ft0bEnRHxyYh4Sl07r9cVMAfToPMuYtVxipvUvIlcr8t+0yPioojYFBH3RcTSiPiDdsS4QzsOOpqI2A24GrgVOA7YD/ggRWHrjFG6fhL4et2244F3A1fWbV8DvK5u2x0TClhqsSlr1sNRfitWFae4SeNyIHAs8F1gSpN9pgO/AC4GNgBPB84E/igiDs7M39e09XrdQeZgUmH14r2Z9+51VYcxUDYunMOiaZdVHYbUEyZxvQb4T+AZwBuAR4DFwGXAC1odZ8eLScCbgZ2Bl2Xm/cA3ImIacFZEvL/cto3MXA88bo5QRLwHWJOZP6hr/rvM/G7rQ5daY9/zb+P2t1hQ6rSTT1xZdQhSr/laZn4FICIuBXYfq0Nmfhv4ds2mayJiPXAV8GygdsEMr9edZQ4mUdxN7HSOrzqMgeKIMGlcJnS9johDgKOBIzLzW+W2XwHfi4gXZubVrQyyimluxwAr6n4Al1D8sI5o9iAR8WTgRcDnWhue1BlT12XVIQyUrbOHOGHaLVWHIfWUzHykRYf6Tfnc7OgmtYc5mFTavHSXqkMYGKsX7111CFKvmej1+hjg18OFJIDM/D7FiPFjWh1kFcWkAyiGQD8qM+8EHiz3NWsRsCPFD7XeMyPi/nKthusjoukESeqUGcvXVh2CJLVNRGwXEVMi4hnA/wX+C/h+XTOv151lDiaVXrTnmrEbSVI1Jnq93qZfafUY/SakimLSbsC9DbZvKvc165XAzZn5s7rttwB/A/wZ8Bpge4phYX/c6CAR8caIuDEibhx6ZPM43l5SLzn14OuqDkEaNMuBrRRJzZOBhXUjncZ1vVZLdG0OtumeVg2Ck5rjLeo7Z8X8c6oOQeo1E71et+o635Qq1kwCaDS/J0bYvm3D4o4wR1As/Pj4A2eeU9f2CoqFq/4Btp0cnZkXAhcCTN9xD+cdqaOmrkse2DuqDqPvOcVN/W77rROaOrt7RNxY8/rC8prYKm+jKCLtT7FY5JURcVhmboHxX6/VMl2Zgz3r2VPMwdRxm5fuws6vebDqMPra7aftX3UIUttsPzThpUuaycEmer2e1HV+PKoYmbQJ2LXB9uk0rqI18gqKH8h/jtUwMzdTfDv6vCaPLXWMU906w1FJUkN3Z+ZBNY9WFpLIzJ9n5vcy87MUi0E+F3j1KO29XrefOZhUY8ncZQzNm1V1GH3tq6d8oOoQpG40Vg420ev1SP12HaPfhFRRTFpD3Xy9iJgFPJHG8/saeSVwfWb+chzv6zde6kp7rdpSdQh9beZhGxyVJFUsM9cB9wD7NtO8zeEMMnMwqc55F3+s6hD6loucSxM20ev1Nv1KI62lNClVFJOuBI6OiKk1204CNgPXjtU5IvYBnk+TdxCJiJ0pVi6/adyRSh0wZc36sRtpwo7ec3XVIUgDr1yE+w8o7iYyUhuv1+1nDiY14Oik9lgyd1nVIUi9aqLX6yuBPSPi8OENEXEQxZd5V7Y6yCrWTLoAeDvwpYhYTHFiZwEfqr31XUTcBlybma+v6/9K4PfApfUHjojpwOXAZ4HbgN2BdwBPoxiWLXUl106S1I0iYhfg2PLl04BpEbGofL08Mx+sv15HxNkU1+nvUQypngf8LbCW8u5fXq8rYw4mSVL3m9D1OjO/ExErgIsj4p3AI8BiihHFV7c6yI4XkzJzU0QsAM4FvkaRaH6Y4odTaweKu4DUeyWwMjM3Nti3FdhIsdDnHsAW4DvAEZl5Y4P2UleYfvtWHth7p6rD6DtOcZMmbQ/gC3Xbhl8/HbiDba/XN1Isvv1GYCfgTuCLwP/JzN+VbbxeV8AcTGps/rk3cP2C2VWH0Vec4iZN3CSv168s2/4HxUy0yykKUy1Xyd3cMvNWYP4YbfYZYftzRumzBXjZZGKTqjBlzXo4ak7VYfSdCxxeLU1KZt5BsdjyaG32qXt9CeUIpFH6eL2uiDmYtK1F027m4tMWsO/Hf151KH1haN4slsx1LSppMiZ6vc7Me4HXlY+2qmLNJEkNuBB3a808bEPVIUiSpB7hXcdax0XNpcFgMUnqElPWrGfqOm940wpbZw85KkmSJI3L6sV7Vx1Cz7v9tP2rDkFSh1hMkrrIjOVrqw5BkiRpIO2zV6PlwCRJjVhMktR3Zs+6u+oQJElSj/FW9pN38stWVh2CpA6xmCR1Gae6TY5T3CRJ0kQ51W3ibj9tfxZNu7nqMCR1iMUkqcs41W1yTj34uqpDkCRJPWrF/HOqDqFnuYi5NFgsJkldyNFJE7N19hAnTLul6jAkSVIPO3zlnVWH0HMc0SUNHotJUhdydNLEOCpJkiRNllO1xs8RXdLgsZgkSZIkSZKkpllMkrqUU93GxylukiSpVZzq1jynuEmDyWKS1KWc6jY+yxd8tOoQJElSn1g07WY2LpxTdRg9wSlu0mCymCR1sb1Wbak6hJ4w87ANVYcgSZL6zNIzz646hK7nCC5pcFlMkrrYlDXrqw6hJ1wwd1nVIUiSpD50+2n7Vx1C19q4cI6LlUsDzGKS1OUcnSRJkiRJ6iYWkyT1NKe4SZKkdvnqKR+oOoSudcI7vll1CJIqZDFJ6nJOdRudU9wkSVI7OdVtW05xk2QxSeoB+55/W9UhdKWTT1xZdQiSJKnPOTppWy5OLsliktQjpq7LqkOQJEmSJMlikqTedcK0W6oOQZIkDQCnuj1m48I5VYcgqQtYTJJ6xIzla6sOoau48LYkSeoUp7o9xiluksBiktRTnOpW2Dp7yIW3JUlSR21eukvVIVTOEVqShlVSTIqIZ0bEyoh4MCI2RMR7I2L7MfrsExHZ4HFJg7bHRcSPImJLRNwaESe172ykznF0UuHUg6+rOgRpIETEnIhYEhE/jIiHI+KaJvocHBEXRcRt5XX+pxFxZkTs1KCt1+sOMweTJm7J3GUMzZtVdRiVcoSW1L0i4tSI+Hl5Db4pIhY00edNEfGNiPh1RNwXETdExIubeb+OF5MiYjfgaiCB44D3An8D/HOTh3gncEjN44y64x8OfBFYBRwDXAF8rtkfiNTt9lq1peoQKjXzsA2ulSR1zoHAscDPykczTgL2AxaXfT8O/DWwtLaR1+vOMweTJu+8iz9WdQiVcWSW1L0i4pXABcDFFNfgnwCXR8Szxuj6j8AvgDcBi4DbgK9HxJ+P9Z47TCriiXkzsDPwssy8H/hGREwDzoqI95fbRvPTzPzuKPvfA3wrM99evl4VEQcC/wRcNdngpapNWbMejhrchQ+d3iZ11Ncy8ysAEXEpsHsTfRZn5saa19dExBZgSUTsnZnryu1erzvPHExqgY0L5zDj8tuqDqPjlpiDSd3sn4FPZ+b7ACLiWuC5wN8Brx2l3/My8+6a19+IiP2BdwBfHe0Nq5jmdgywoi5huYQiuTliMgeOiCcARwGfr9t1CXBIREyfzPGlbjHoo5MkdUZmPjKBPhsbbB4eTrgHeL2ukDmYpAkZ9Ol9UjeLiH2BudRcg8sc7gsU1/4R1RWSht1CmbONpopi0gHAmtoNmXkn8GC5bywXles23BURH4qInWv27QfsWH98YDXFuc6deNiSqrZ19lDVIUiamEOBR4Cflq+9XlfDHExqgRPe8c2qQ+i4h8/4TdUhSBrZ8DW80TX4yRExY5zHOwS4daxGVRSTdgPubbB9U7lvJFsp1l14PbAAWAK8heIbr9pj0+D4m+r2Sz1typr1VYdQieULPlp1CJLGKSL2pJiP/5maETFer6thDia1wKJpNw/UXc2G5s1yipvU3Vp2DY6Iv6SYHnfeWG2rWDMJioUf68UI24sOmXcBb63ZdE1E/Bo4LyKek5k/GOX4MdL7RsQbgTcC7LTdk8aOXOoSe63awvqjtrk5Ut+aediGqkOQutb2W5Ppt28db7fdI+LGmtcXZuaFLQyLiJhCMeT6txRz7+s1fb1Wy3RlDvbUp416Qzmp63z1lA9w+sePrzqMjph/7g1VhyB1pe23JNPXjjv/giZysHJ6+FPGOlBm1o5GmlReFRF/BHwMOCczV43Vvopi0iZg1wbbp9P427LRXEpRMXse8AMeq7zVH3/49TbHLz+0CwGm77iHyat6xqAvxC1p0u7OzIPadfCICIo7ihwIHJaZm2p2j/t6rZbo2hzsWc+eYg4mSRoUzeRgLwc+0cSxgsdfg++r2bdr+XzvmAcp1l26AlhJcafXMVUxzW0NdfPyI2IW8ES2neM3lqx7Xgs8VH/88vUjNH9bY0ldxru4ST3nwxS3nz+u7lsz8HpdFXMwqYU2Luz/L/WG5s1i0bSbqw5DGjiZ+cnMjLEeZfPha3ija/A9I9wc5VERsQewAlgHvDIzH24mxiqKSVcCR0fE1JptJwGbgWvHeaxF5fNNAJm5FVhFUcWrdRLwncy8D6mPDMpd3ZziJvWWiPh74G3AazPz+vr9Xq8rYw4mtdDSM8+uOoS2c4qb1P0y83aKL20evQZHxHbl6ytH6xsRTwKWly8XZuaDzb5vFdPcLgDeDnwpIhYD+wJnAR+qvVVtRNwGXJuZry9fnwVMBW4A7gf+FHgX8KXM/H81x38fxVz+jwCXAceWj5e086SkKkxZs56p++7HA3vH2I17mKOSpGpExC4U11CApwHTImK4iLA8Mx9scL1+NfBvwKeAX0XE82sOubbm2zGv151nDia12OrFezPv3euqDqMtNi6cw6Jpl1UdhqTmnAV8NiLuoLhe/wWwP/Dq4QYRcQTFNLYFmTn8JdKXgGcDpwD7RcR+w+0z87ujvWHHi0mZuSkiFgDnAl+jmL/3YYqTr7UDULsa4xrgncAbgJ2BO4EPAP9ad/zry0T3XyjuNPIL4NWZeVWrz0XqBjOWr+WBt/TvMOuTT1xZdQjSINsD+ELdtuHXTwfuYNvr9YvL51PKR63XURSZvF5XwBxMar0V88/hdI6vOoy2GISRV1K/yMzPlaOM3g28B/gJxUijH9c0C4rre+1IhBeVz0sbHHbUEQuV3M0tM28F5o/RZp+615fw+FvQjtb3MopvxKSBMHVd9uXopK2zhzhh2i1VhyENrMy8gzESiQbX61PYtog0Ut/L8HrdUeZgUusdvvJOrl8wu+owWmr14r2rDkHSOGXmJxhl0e7MvIa6vK5m3aVxq2LNJEktNmP52qpDaItTD76u6hAkSZJGtWjazQzNm1V1GC21Yv45VYcgqctZTJL6xNR13lVZkiRJktR+FpMkdSWnuEmSpF7RT3c9c4qbpGZYTJL6RL9NdVu+4KNVhyBJktSURdNuZuPC/rghilPcJDXDYpLUR/ZataXqEFpi5mEbqg5BkiRpXPrh7meHr7yz6hAk9QiLSVIfmbJmfdUhtMQFc5dVHYIkSdJA2bhwDoum3Vx1GJJ6hMUkSV1l6+yhqkOQJEmakF6e6vbA3hO+Q7ikAWQxSeozvT7Vbfasu6sOQZIkaUJ6earbUw79VdUhSOohFpOkPtPrU92c4iZJknrZ7aftX3UI47Zx4RyWmINJGgeLSVIf2vf826oOYUJOPnFl1SFIkiRNyldP+UDVIYxbL4+oklQNi0lSn5q6LqsOYVy2zh7ihGm3VB2GJEnSpG1eukvVITStF0dSSaqexSSpT81YvrbqEMbl1IOvqzoESZKkluilKWO9OJJKUvUsJkl9rNdGJ0mSJEmSup/FJEmVc4qbJEnqN70w1c0pbpImymKS1Md6ZaqbU9wkSVK/WTJ3GUPzZlUdxqic4iZpoiwmSX1ur1Vbqg5hVDMP2+CoJEmS1JcePuM3VYcwol4YOSWpe1lMkvrclDXrqw5hVBf00AKVkiRJ4/GiPddUHUJDQ/Nm9dQi4ZK6j8UkSZIkSWqDRdNu7sqpbvft94SqQ5DU4ywmSQOgW+/qtnX2UNUhSJIktdX8c2+oOoRtPOlVG6oOQVKPs5gkDYBuXYh7+YKPVh2CJElSWy2adjMbF86pOoxHOcVNUitYTJIGRLctxD3zML8RkyRJg2HpmWdXHcKjunGklKTeU0kxKSKeGRErI+LBiNgQEe+NiO3H6HNwRFwUEbeV/X4aEWdGxE517T4VEdngcUB7z0rqblPWrO+q6W5H77m66hAkjSEi5kTEkoj4YUQ8HBHXNNlvennN3hQR90XE0oj4g7o2Xq8rYA4madG0m6sOQVIbRMSpEfHziNgSETdFxIJx9n9ume/d3Uz7HSYW5sRFxG7A1cCtwHHAfsAHKQpbZ4zS9aSy7WLg58CzgfeVzyfWtV0DvK5u2x2TDF1SC50w7ZaqQ5A0tgOBY4HvAlPG0e8/gWcAbwAeobh2Xwa8oK6d1+sOMgeTqrVx4RxmXH5bpTF042LgkiYvIl4JXACcBVxPcS2+PCIOzswfN9E/gHOBjTRZJ+p4MQl4M7Az8LLMvB/4RkRMA86KiPeX2xpZnJkba15fExFbgCURsXdmrqvZ97vM/G57wpd61/Tbt/LA3juN3bDNnOIm9YyvZeZXACLiUmD3sTpExCHA0cARmfmtctuvgO9FxAsz8+qa5l6vO8scTKrQ0jPP5vTLj680Bqe4SX3rn4FPZ+b7ACLiWuC5wN8Br22i/2uBmcB/AG9s5g2rmOZ2DLCiLmG5hCK5OWKkTnVJzLDhoQ17tC48qX9NWbO+6hAAuMBFH6WekJmPTKDbMcCvhwtJ5XG+D/yi3KfqmINJFVu9eO/K3nvjwjlOcZP6UETsC8wFPj+8rczhvkATuVdETKUYffxOoOnbbVdRTDqAYgj0ozLzTuDBct94HEoxfP6nddufGRH3R8TWiLg+IkZMkKRBs+/51Q6vPvnElZW+v6S22+Y6X1rNttd5r9edZQ4mVWzF/HMqe+9uWgRcUksNX8Pr86/VwJMjYsYY/f8JWJ2Zl43nTasoJu0G3Ntg+6ZyX1MiYk/gH4HP1H3DdgvwN8CfAa8BtqcYxv3HEw1Y6jdVLcS9dfaQayVJ/a/Z67zX684zB5O6wOEr7+z4e1Y5IkpS2w1fw++t276pbv82IuIZwGnA6eN90yrWTAJo9D/ZGGH7tg0jplAM4fot8I7HHTjznLq2V1AsNPkPwPENjvVGyjmBO233pGbeXup5M5av5YG3zOn4+y5f8NGOv6c0CGLL0ESmse4eETfWvL4wMy9sUUhjXufHe71Wy3RlDvbUp416QzmpryyadjNfXji/o4txVzkiSupXsWWIKat/OZGuY+ZgETEdeMpYB8rM2tFI9dfyGGF7rXOAT2Xmj8Z6r3pVFJM2Abs22D6dxt+WPU65yvjFFHeYOSwzN43WPjM3R8Ryim/JGu2/ELgQYPqOe3TPfdOlNttr1RbWH1X9YtySKnN3Zh7UhuNuAhoNp96VUa7zY12v1RJdm4M969lTzME0UB7YOxr+Q9kO3sFN6jrN5GAvBz7RxLGCx0Yg7QrcV7Nv1/L53oYdI44BDgPeGhHDbXcqdsWuwObM3DrSG1cxzW0NdfPyI2IW8EQar7FQ78MUt7M9rq4KNxaTFKlCW2c3vZabpN62zXW+NNJaSvW8XrePOZjUJZ5y6K869l5rT6niv3ySJiMzP5mZMdajbD58Ta7Pvw4A7hnhRhoAzwCeBPycoiC1CXg38OTyz+8aLcYq/mW5Eji6XDF82EnAZuDa0TpGxN8DbwNem5nXN/NmEbEzxQrmN00sXKk/dfrObk5xkwbGlcCeEXH48IaIOAjYt9zXkNfrjjAHk7rEkrnL2LiwM0sOOMVN6m+ZeTvwM4rRTABExHbl6xFzL+BS4Ki6x6eB+8s/f2a0961imtsFwNuBL0XEYork8izgQ7WLOEbEbcC1mfn68vWrgX8DPgX8KiKeX3PMtZm5sZxXeDnwWeA2YHeK+fxPA17R5vOSek6nprrNPGxD299DUutFxC7AseXLpwHTImJR+Xp5Zj5Yf73OzO9ExArg4oh4J8UdvxYD12fm1eVxvV5XwxxM6iJLzzyb0y8/vq3vUcVi35IqcRbw2Yi4A7gB+Atgf+DVww3KO6yuBBZk5rWZuR543AiDiDgSeCgzrxnrDTteTMrMTRGxADgX+BrF/L0PU5x8rR0o7gIy7MXl8ynlo9brKBKcrcBG4AxgD2AL8B3giMy8EUmPM2XNejiq8wtxS+oZewBfqNs2/PrpwB1se70GeCXFtf0/KEZBX05RxBjm9boC5mDS4Fk07eaqQ5DUAZn5uYh4EsU0tfcAPwEWZuaPa5oFxfU9Ghxi3Cq5m1tm3grMH6PNPnWvT2HbBKa+zxbgZZOLTlKrHb3n6qpDkDQBmXkHYyQc9dfrctu9FEWG143Qx+t1RczBpO4yNG/WRO8GJUmPk5mfYJRFu8vRRmPldWex7ZdMDbkamzTg9lq1pa3Hn3nYBk6Ydktb30OSJKkXnXfxx9p27M1Ld2nbsSXJYpI04Nq9EPcFc5e19fiSJEm97PbT9m/5MTcunMMSczBJbWQxSRL7nn9bW4578okr23JcSZKkfvHVUz7Q8mMuPfPslh9TkmpZTJIEwNR12dLjbZ095PQ2SZKkJrRySlo7RjpJUj2LSZIAmLF8bUuPd+rB17X0eJIkSf1qydxlDM2b1ZJjtWOkkyTVs5gk6VGtHp0kSZIkSeo/FpMktZxT3CRJksbn4TN+M+ljOMVNUqdYTJL0qFZNdXOKmyRJ0vi0YqqbU9wkdYrFJEmPs9eqLZPqP/OwDY5KkiRJmoD5594w4b6tXMRbksZiMUnS40xZs77qECRJkgbSomk3T7jvi/Zc08JIJGl0FpMktdTRe66uOgRJkqSeNdGpbpMpREnSeFlMkrSNid7VzYW3JUmSJmciU92c4iap0ywmSdrGRBfiXr7goy2ORJIkabAsmnYzGxfOabr90LxZLJm7rI0RSdK2LCZJami8C3HPPGxDmyKRJEkaLEvPPLvptpNZtFuSJspikqSGpqxZP67pbhf4jZgkSVLLrF6895htNi6c41pJkiphMUnSiJqd7nbyiSvbHIkkSdJgWTH/nDHbjGcEkyS1ksUkSaOa6GLckiRJkqT+ZDFJ0qR5BzdJkqTWG22q23gW6ZakVrOYJGlUY011c4qbJElSe4w21c0pbpKqZDFJ0phGmuq2dfaQo5IkSZLa6PCVd26zrZnFuSWpnSwmSRrTSKOTli/4aIcjkSRJUjOLc0tSO1VSTIqIZ0bEyoh4MCI2RMR7I2L7JvpNj4iLImJTRNwXEUsj4g8atDsuIn4UEVsi4taIOKk9ZyINrq2zh6oOQVKbTeJ6fWBEXFX2uzsizo+IJzVo5/W6w8zBpN6zaNrNj3t9+2n7VxSJpG4WEadGxM/La/BNEbGgyX67RMTiiLiz7Ht7RPztWP06XkyKiN2Aq4EEjgPeC/wN8M9NdP9P4EjgDcApwMHAZXXHPxz4IrAKOAa4AvhcRLy4FfFLg8q7ukmDZaLX64iYDnwT2Bk4CXgncCLw2bp2Xq87zBxM6l2bl+7y6J/9Qk9SvYh4JXABcDHFNfgnwOUR8awx+m0PLKfIC/4ReAnwr8285w6TCXiC3kyRYL4sM+8HvhER04CzIuL95bZtRMQhwNHAEZn5rXLbr4DvRcQLM/Pqsul7gG9l5tvL16si4kDgn4Cr2ndaUn+bsXwtD7zlsbuGnHrwdRVGI6kDJnS9Bv6q7PdnmXkvQETcA3wlIg7KzBvLdl6vO88cTOpRS+Yu4zUL38mMy29zipukRv4Z+HRmvg8gIq4Fngv8HfDaUfqdCvwh8IzM/J9y2zXNvGEV09yOAVbUJSyXUCQ3R4zR79fDSQxAZn4f+EW5j4h4AnAU8Pm6vpcAh5TflkqaoL1WbQFg5mEbXHhb6n8TvV4/B7hxuJBUuopiNMxLwet1hczBpB629MyzHzdCSZIAImJfYC411+DMfAT4AuV1ehR/CXy+ppDUtCqKSQcAa2o3ZOadwIPlvqb7lVbX9NsP2LFBu9UU5zp3AvFKKk1Zsx6AC+YuqzgSSR0w0ev1TkD9HIzfA48A88rXXq+rYQ4m9bgl5mCStjV8LW50DX5yRMxo1CkiplCMXlpfroW4uVwX8aJy5PKoqigm7Qbc22D7pnLfZPoNP9e321S3X5IkjW6i1+vbgD+MiB1rtv0RsD3w5Jpj0+D4Xq/byxxMkqT+M9Fr8B9QLH30t8ATgT8H/ppi/aRPjvWmVayZBMVQ93oxwvaJ9Kt/HSP1j4g3Am8sX279+n+f9+MxYugVuwN3Vx1Ei3gu3eRMOPDMPjiPx3gu3alfzuUZnXiT+3+/ccXX//u83cfZbaeIuLHm9YWZeWFdm4lcrz8B/G/gYxFxFkWich7wcPkY7fgjXq/VMl2bgx0w+y5zsO7TL+fSL+cBnku36pdz6ZfzgA7kYPf/fuOKr//6/PHmX9BEDlZOD3/KWAfKzNrRSOPNq4YHF20CXp6ZD5Xv/RDw6YjYLzPXjvTeVRSTNgG7Ntg+ncbfetX2azQ8a9eafptqttW3odHxyw/tQoCIuDEzDxolhp7huXSnfjmXfjkP8Fy6Vb+cS12i0DaZ+ZI2HHZC1+vMXFMWCT4MvIlietuFFInMr2uOTYPjD78e8fiaFHOwDvBcuk+/nAd4Lt2qX86lX84DOpODtSn/GvZyii/oxhI8/hp8X82+Xcvne0foO9zvhuFCUumb5fMzgRGLSVVMc1tD3bz8iJhFMayq0Xz8EfuVaufxrwUeatDuAIpk9mcTiFeSpEE00es1mfkfwEzg2cBTgbcCc4Dvlk28XlfDHEySpB6QmZ/MzBjrUTYfvhY3ugbfk5kbR3iPB4F1DXYNH/eR0WKsoph0JXB0REyt2XYSsBm4dox+e0bE4cMbIuIgYN9yH5m5FVhFUcWrdRLwncy8D0mS1IyJXq8ByMwtmfmjzPw1xS1pt6O8y4jX68qYg0mS1Gcy83aKL20evQZHxHbl6yvH6H45cHi5GPewBRSFpB+N1rGKYtIFwFbgSxHxwnIo/FnAh2pvVRsRt0XEvw+/zszvACuAiyPiZRFxPLAUuD4zr645/vuAIyPiIxFxZES8HzgWeG8TsdWvFdHLPJfu1C/n0i/nAZ5Lt+qXc+nl85jQ9ToipkXE4oh4aUQcHRH/l2IRx7dn5j01x5/M9VoTYw7WGZ5L9+mX8wDPpVv1y7n0y3lAf51LM84CXhcRZ0TEUcB/APsD/3e4QUQcERG/j4gjavp9AJgKfDEijqlZquA/yju+jigyO7/GZUQ8EzgXOIRi/t4ngbMy8+GaNncA12TmKTXbdqU4sRMoCmGXUySnj1skrExy/oXih/eL8tiXtOt8JEnqRxO5XkfEE4EvAwcBOwM/Bv41My9rcPzj8XrdUeZgkiT1p4g4FXg3MAv4CfCuzFxZs/9IilHER2XmNTXbD6K4xh8E3A98Dvi7zNwy6vtVUUySJEmSJElSb6pimlslIuKkiPhSRNwVERkRp4zQ7mkR8eWI+G1E3B0R50bELk0c/wkR8cGI+J+I+F1EXBER+7T6PEZ4733Kc2r0+OkYfc8aoV87V6YfLZ5rRohnpyb6HhYR34uIzRHxi4h4eydiHiGWaRHxzxHx/Yi4LyL+u/y9mttE38o+k4h4ZkSsjIgHI2JDRLw3IrZvot/0iLgoIjaV57s0Iv6g3fGOEs/LI+KrEfGr8u/yTRHxqjH6jPT3qNJv1CPilBHievMY/brqMyljGunvd0bEISP0qfxziYg5EbEkIn4YEQ9HxDUN2kRE/ENE/LL8N+hbEfGcJo9/XET8KCK2RMStEXFSq89BqlL0aQ42yr9PPZd/lTGZg5mDTVqYg3XdZ1LGZA7W+PjmYJOwQ9UBdNAiYB+KYdlvaNQgInagWBNgiGLByF2BD5XPrx3j+B8t3+MdwEaKOYvfiIj/b6zhYS1wF8Vw9Vo7A1cx9oJbUNw+sP4iuboFcU3UKuAf6rZtHa1DRMyh+OwuB/4e+GPgQxHxYGZ+si1Rjm42cCrw78A/AruUcX0vIp6dmb8co3/HP5OI2A24GrgVOA7YD/ggRdH5jDG6/yfwDIq/W48Ai4HLgBe0Kdyx/DXF9Ip3AHdTrNmxLCJ2z8yPjdH3ncANNa/vHqlhh82nWCR32O1jtO+2zwTgr4BpddveCzwX+K8x+lb5uRxI8Tv0XWDKCG3+DngP8C6KO2r8NXB1RDwrM/97pANHsaDxF4HzgLeX7/O5iNiUmVe17hSkSvVrDtZv+ReYg4E52GSZg3XfZwLmYNswB2uBzByIB7Bd+fwkIIFTGrR5FfAw8PSaba+g+Edg/1GOvRfwe+Dkmm1Po0iI3lDR+b68PM8/GaPdWcDdVX8+NfFcA1w6gX5LKFaw36Fm23nALymnc3b4PJ4I7Fy37cnAb4Ezu/EzoUi0NgHTarb9LfBg7bYG/Q4pf9f+tGbbH5fbXljR79HuDbYtA34xSp99ypgXVhHzKHGdUsb1pHH06brPZIQ4pwD3AOd38+cyfP0o/3wpxVoytft3ovjPxz/VbHsixX9q/2WMY68Avlm3bTnFwsaVf0Y+fLTiMUg5WK/mX2VM5mDmYK04F3OwLvtMRojTHMwcbNKPgZnmlpmPNNHsGOC/MvMXNdsuo0hIRhve+uLy+Us17/cr4PrymFV4FcU/2t+r6P077RjgS5n5+5ptl1Akmc/qdDCZ+bvM3Fy37R5gHbBHp+Np0jHAiqy5ow/Fz3Bn4IjGXR7t9+vM/Nbwhsz8PsW3UpX8/mfdgrClW+jen32rdd1nMoKXALtRLPLXtZq4fhxK8W3f52v6/A74GqP8vCPiCcBRtf1KlwCHRMT0CQUsdZkBy8EGLf8Cc7BWMAfrH133mYzAHMwcbNIGppjUpAMohsY9KjOHgLXlvtH6rc/M39ZtXz1Gv7aIiGkUf3ma/cdh1yjWJngoIm6JiJe1MbxmvLicL/5gRKyIiGeP1jiKOwfNou6z47EhyR3/DBqJiBnAHIohzGOp4jNp9Pt/J8W3YmP9/tf/7KGi3/9RHEpzP/uLyjnZd0XEhyJi53YH1qS1UdzK86cR8aYx2vbKZ/JK4FfAdU207dbPBYqf6cPAz+u2j/Xz3g/Ykcb/dm0HjLm+h9RHej4H64P8C8zBwBysHczBuu8zMQczB5u0QVozqRm7Udwmt96mcl+r+7XL8RRD/ppZHO02imG0P6AYfv4m4IsRcWJmfmm0jm1yLfDpMq69Kea6XxcRf5iZd4zQZ9fy+d667ZvK5yo+g0Y+SDHEeqzPparPpB2///tOOqoWiIgFFGsQ/OUozbYCH6dY6+J+4EiKW2vuV/atyl0U88C/D2xP8a33BRGxS2Z+eIQ+vfCZ7AL8GXBhluOKR9Ctn0ut3YDfZs2t1UubgF0iYkr5n+JG/aD7/+2SOqEfcrDj6d38C8zBwBys5czBHtVNn4k5mDlYS/RsMakcevaUsdplZqPK8KhdGr3dCNtb0a+hSZ7fq4CfZOaPmuj/2br3/RrwbeCfqBkyPlHjPY/MPLNm83URcTVFxfj08jHqYca5fVwm85lExFsoFhA9MTN/M0b/tn4mY+iK3/9WiuKOPsuAr2Tmp0Zql5l3AW+t2XRNRPwaOC8inpOZP2hnnKPEtYJiTvewK8uhuWdExDmjDP/t2s+k9GcUifqo3+B36+fSwEg/75H2jda32X5SJfo5B+uX/Ks8pjkY5mBVMgd7nK74TErmYCP3NQcbh54tJlEscPiJJtrF2E0etYnHvmGptSuNK8yT7TeaCZ1fFLedfCHFAoLjlpkZEV8CFkfE9g2qvOM1qc8pM/87Im4AnjdK33vL513rto9UcZ6oiX4mfw58DHh3Zn55vG/ahs9kJCP9Hk9n7N//GQ227zpGv7aLiCdT3FHnTsa+G1Ajl1IsIvo8im8pu8WlFAvT7kPjO4p07WdS45XAbZl54wT6dtvnsgmY2uDv567Ag5n50Cj9htvVGn59b4vik1qtn3Owfsm/wBzMHKxC5mDb2JXuua6bg5mDtUTPrpmUmZ/MzBjrMc7DrqFubmVETKEYkjjat2trgFnlvPFaI82ZHdMkzm8RRZGwmSHWo4Ywyf7FQVr3OY0YT7nI2i/Zdl7s8OsJfQYN3mfc5xIRh1J8Fhdk5gcmG8Ik+4+l0e//LIo7Ioz1+99oTvKEf/9boRzCeznF3SpeWv6ejFfWPXebkeLqys9kWPkN83jWFanXbZ/LGorh73Pqto/1814LPETjf7seobg7ktR1+jkH65f8C8zBzMHMwdrMHKw7mINVqGeLSW1yJXBwROxds+3PgScAXx+l31Xl8wnDGyLiqcALymN20quA72fm2ol0joigOI8ftvHbl/HEMxM4DLhpjKZXAidExPY1206iSHB+3KbwRhURB1JcSL8OvH0Sx+nUZ3IlcHRETK3ZdhKwmWIdhdH67RkRhw9viIiDKP4D0Onf/+H33wH4ArA/cExm/s8ED7WofB7r96/TTgTuprgzTSNd95nUOYHi39WJJjLd9rl8m2ItgZcPb6hZj2DEn3dmbgVW1fYrnQR8JzPva32oUtfq9Rysr/IvMAcrj2MONk7mYN33mdQxB8McrGUycyAewDMpfvlfS1FJPbd8fURNmx0pLno3AcdSJAb/DXy27lgrgZV125ZQ/MPyvyhutfhdilXld+rgOT6VYjX700fYfwTw+7pzvpbiIvtiin9cllNUY/+8gs/o2cAVwCkUt2r8C4qK8j3A7DHOYw7FworLyr5/S1FtfkNFv297UCRRd1IsVvf8msczu/EzoRiSfhfwDYqh+m8sf6b/UtfuNuDf67Z9nWKo78soFiD9KXBdFT/7Mp4Ly7/nb6/72T8feEKj86CYmvDB8hxeCLyXIon7YlXnUcb1RYrFDo8BFgKfKc/tbb30mTSI7Qcj7Ou6zwXYheJ6sQj4DvCTmte7lG3+nuKuO6cBCyj+LbsbmFlznJPLv+9712w7vNz2kfLfiveXf99fXPXn5MNHqx70eQ5Gj+dfZTzmYBV+LpiDnYU5WKfOyRzssW3mYJP9fKoOoGMnWvxlyAaPa+ra7QVcVv4D/huKFex3qWtzTYN+TwA+BGwEfkdx8Xl6h8/xdIpk5qkj7D+yPOcja7b9e/mP3eYy7usovkWo4jN6WvlzuwsYKn/+XwQOGOs8yu2HU9xtYQtwB/D2Cn/fhmMc9Xeu2z4TioT/m+V73wW8D9i+rs0dwKfqtu0KXEQxv/h+ioRy9wp//neM8vPfp9F5UMwfvxG4r/z9u43iovmEqs6jjOvfKJKQB8vP5Sbgf/XaZ1IT1+4U/8n4u1E+u676XCjWRRjr9yko7ny0vvycrgOeW3ecU2r71Gw/nuI/0Vsp/vP2yqo/Jx8+Wvmgz3Mwejz/KuMxB6v4c8EczBys/edjDmYO1tJHlD9ESZIkSZIkaUyumSRJkiRJkqSmWUySJEmSJElS0ywmSZIkSZIkqWkWkyRJkiRJktQ0i0mSJEmSJElqmsUkSZIkSZIkNc1ikiRJkiRJkppmMUmSJEmSJElNs5gkSZIkSZKkpllMktSUiDgiIjIijqnZ9vSI+J+I+GiVsUmSJPUj8y9J3Soys+oYJPWIiPgmsFNmHhoR04FvA78AjsvMh6uNTpIkqf+Yf0nqRhaTJDUtIl4AfAs4GvgbYCZweGb+ttLAJEmS+pT5l6RuZDFJ0rhExDeAQ4F7gT/JzPXVRiRJktTfzL8kdRvXTJI0XrcBuwBnmshIkiR1hPmXpK7iyCRJTYuINwIfA1YDWzLz+RWHJEmS1NfMvyR1I4tJkpoSES8CrgDeAPwM+A5wbGZeWWlgkiRJfcr8S1K3spgkaUwRcSBwA3BuZp5RbvsGMD0z/7jS4CRJkvqQ+ZekbmYxSdKoImIP4HvAjcArsvxHIyL+FLgWWJiZV1QYoiRJUl8x/5LU7SwmSZIkSZIkqWnezU2SJEmSJElNs5gkSZIkSZKkpllMkiRJkiRJUtMsJkmSJEmSJKlpFpMkSZIkSZLUNItJkiRJkiRJaprFJEmSJEmSJDXNYpIkSZIkSZKaZjFJkiRJkiRJTfv/AVvHOXMMi9PTAAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for key in KEYS:\n", " affichage_onde(key); # affichage de la solution" ] }, { "attachments": {}, "cell_type": "markdown", "id": "ff4114c8", "metadata": {}, "source": [ "## Solution approchée, schémas de Lax-Friedrichs, de Rusanov et HHL" ] }, { "cell_type": "code", "execution_count": 116, "id": "e5760356", "metadata": {}, "outputs": [], "source": [ "# bornes du domaine [x_L,x_R] et point de discontinuité x_0\n", "x_L, x_0, x_R = -10, 0, 10\n", "Nx = 200 # nb de mailles\n", "xx = np.linspace(x_L,x_R,Nx) # discrétisation\n", "dx = xx[1]-xx[0]" ] }, { "cell_type": "code", "execution_count": 117, "id": "96970040", "metadata": {}, "outputs": [], "source": [ "# ========================================================\n", "# SV\n", "# ========================================================\n", "## dt WW + dx Q(WW) = 0\n", "# WW = [rho,u] # Variables conservatives\n", "# Q = [u,a**2*rho] # Flux\n", "\n", "Q = lambda WW : np.array([WW[1],a**2*WW[0]])\n", "\n", "\n", "# Valeurs propres\n", "lambda_0 = lambda WW : -a\n", "lambda_1 = lambda WW : a\n", "\n", "\n", "# ========================================================\n", "# Shift des vecteurs avec conditions de Neumann\n", "# ========================================================\n", "v_plus = lambda vv : np.concatenate( (vv[:,1:], vv[:,-1:]) , axis=1 ) \n", "v_moins = lambda vv : np.concatenate( (vv[:,:1], vv[:,:-1]) , axis=1 )\n", "\n", "\n", "# ========================================================\n", "# Flux de Lax-Friedrichs en variables conservatives \n", "# ========================================================\n", "# def flux_numerique(Wleft,Wright,dx,dt):\n", "# return (Q(Wleft) + Q(Wright) - (Wright-Wleft)*dx/dt)/2\n", "\n", "\n", "# ========================================================\n", "# Flux de Rusanov en variables conservatives \n", "# ========================================================\n", "def flux_numerique(Wleft,Wright,dx,dt):\n", " global a \n", " A = a\n", " return (Q(Wleft) + Q(Wright) - (Wright-Wleft)*A)/2\n", "\n", "\n", "# ========================================================\n", "# Flux de HLL en variables conservatives \n", "# ========================================================\n", "# def flux_numerique(Wleft, Wright, dx, dt):\n", "# Qleft = Q(Wleft)\n", "# Qright = Q(Wright)\n", "# c_0 = np.minimum(np.minimum(lambda_0(Wleft),lambda_1(Wleft)), np.minimum(lambda_0(Wright),lambda_1(Wright)))\n", "# c_1 = np.maximum(np.maximum(lambda_0(Wleft),lambda_1(Wleft)), np.maximum(lambda_0(Wright),lambda_1(Wright)))\n", "# mask_1 = (c_0 >= 0)\n", "# mask_2 = (c_0 < 0) & (c_1 > 0)\n", "# mask_3 = (c_1 <= 0)\n", "# hll = np.zeros_like(Wleft)\n", "# hll[:,mask_1] = Qleft[:,mask_1]\n", "# hll[:,mask_3] = Qright[:,mask_3]\n", "# hll[:,mask_2] = ( c_1[mask_2]*Qleft[:,mask_2]-c_0[mask_2]*Qright[:,mask_2] + c_0[mask_2]*c_1[mask_2]*(Wright[:,mask_2]-Wleft[:,mask_2]) ) / ( c_1[mask_2]-c_0[mask_2] )\n", "# return hll\n", "\n", " \n", " \n", "\n", "# ========================================================\n", "# Une itération d'un schema VF : t^n -> t^{n+1}\n", "# ========================================================\n", "def sol_approx(WW,dx,dt):\n", " WWc = np.copy(WW) # W_i\n", " WWp = v_plus(WW) # W_{i+1} \n", " fluxp = flux_numerique(WWc,WWp,dx,dt) # F_{i+1/2}\n", " fluxm = v_moins(fluxp) # F_{i-1/2}\n", " WW_new = WWc - (dt/dx) * ( fluxp - fluxm ) # W_i^{n+1}=W_i^n-dt/dx*(F_{i+1/2}^n-F_{i-1/2}^n)\n", " return WW_new\n", "\n", "\n", "\n", "# ========================================================\n", "# MARCHE EN TEMPS\n", "# ========================================================\n", "\n", "def calculer(key):\n", "\n", " # cas test\n", " val = IC[key]\n", " rho_L, u_L = val[0]\n", " rho_R, u_R = val[1]\n", " t_final = val[2]\n", " \n", " # Initialisation\n", " t = 0\n", " rrho = np.zeros_like(xx)\n", " uu = np.zeros_like(xx)\n", " mask_L = xx<0\n", " mask_R = xx>=0\n", " rrho[mask_L] , uu[mask_L] = rho_L , u_L\n", " rrho[mask_R] , uu[mask_R] = rho_R , u_R\n", " itera = 0\n", " np.save( f\"./test_{key}/s_{itera:03d}\" , np.array([t,xx,rrho,uu],dtype=object))\n", "\n", " # variables non conservatives -> conservatives : ici inutile\n", " WW = np.array([rrho,uu]) \n", "\n", " # marche en temps\n", " while t<=t_final:\n", " c = a\n", " dt = 0.999*dx/c # condition CFL\n", " t += dt\n", " WW = sol_approx(WW,dx,dt) # W_i^{n+1}=W_i^n-dt/dx*(F_{i+1/2}-F_{i-1/2}) \n", " if itera%1==0:\n", " # variables conservatives -> non conservatives: ici inutile\n", " rrho, uu = WW[0] , WW[1]\n", " itera += 1\n", " np.save( f\"./test_{key}/s_{itera:03d}\" , np.array([t,xx,rrho,uu],dtype=object))\n" ] }, { "cell_type": "code", "execution_count": 118, "id": "5982213e", "metadata": {}, "outputs": [], "source": [ "def affichage(key,t,xx,rrho,uu,rrho_ex,uu_ex):\n", " fig,axx = plt.subplots(nrows=1,ncols=2)\n", " (ax1,ax2) = axx\n", " ax1.plot(xx, rrho, color='C0', linestyle='-' , marker='o', linewidth=2 )\n", " ax1.plot(xx, rrho_ex, color='C3', linestyle='--' , marker='.', linewidth=1 )\n", " ax2.plot(xx,uu,color='C0', linestyle='-' , marker='o', linewidth=2 )\n", " ax2.plot(xx,uu_ex,color='C3', linestyle='--' , marker='.', linewidth=1 )\n", " error_h = norm(rrho-rrho_ex)/norm(rrho_ex)\n", " ax1.set_title(f\"$\\\\varrho \\in [{min(rrho):g},{max(rrho):g}]$, error = {error_h:g}\")\n", " error_v = norm(uu-uu_ex)/norm(uu_ex)\n", " ax2.set_title(f\"$u \\in [{min(uu):g},{max(uu):g}]$, error = {error_v:g}\")\n", " ax1.set_ylim([-0.1,2.1])\n", " ax2.set_ylim([-1.1,2.9])\n", " ax1.grid()\n", " ax2.grid()\n", " ax1.set_xlabel(\"$x$\")\n", " ax2.set_xlabel(\"$x$\")\n", " ax1.set_ylabel(r\"$\\varrho$\")\n", " ax2.set_ylabel(\"$u$\")\n", " ax1.legend([\"numérique\",\"exacte\"])\n", " ax2.legend([\"numérique\",\"exacte\"])\n", " plt.suptitle(f\"Test : {key}, t={t:g}\"); \n", " return fig,axx\n" ] }, { "attachments": {}, "cell_type": "markdown", "id": "10178531", "metadata": {}, "source": [ "## Choisir le cas test et afficher un instant" ] }, { "cell_type": "code", "execution_count": 119, "id": "026e9f02", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nombre de fichiers sauvegardés : 61\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Choix du cas test\n", "key = KEYS[0]\n", "\n", "# APPROXIMATION de tous les instants\n", "# calcule et sauvegarde les solutions dans ./test_{key}/s_{itera:03d}.npy\n", "calculer(key=key) \n", "nb_fichiers = len(os.listdir(f\"./test_{key}\"))\n", "print(f\"Nombre de fichiers sauvegardés : {nb_fichiers}\")\n", "\n", "# choix de la sauvegarde à afficher\n", "itera = 50\n", "itera = min(itera,nb_fichiers-1)\n", "t,xx,rrho,uu = np.load( f\"./test_{key}/s_{itera:03d}.npy\", allow_pickle=True )\n", "\n", "# EXACTE\n", "val = IC[key]\n", "rho_L, u_L = val[0]\n", "rho_R, u_R = val[1]\n", "rrho_ex,uu_ex, h_s, v_s = sol_exacte_riemann(xx,t,rho_L,u_L,rho_R,u_R)\n", "\n", "# AFFICHAGE\n", "fig,axx = affichage(key,t,xx,rrho,uu,rrho_ex,uu_ex); # affichage de la solution\n", "affichage_onde(key,xx,t_ref=t,colorbar=False); # affichage de la solution\n" ] }, { "attachments": {}, "cell_type": "markdown", "id": "4ea937c5", "metadata": {}, "source": [ "## Choisir le cas test et afficher toute la simulation" ] }, { "cell_type": "code", "execution_count": 120, "id": "97e7a534", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "59bf210893a84c4c970424107e9c6a50", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(Dropdown(description='key', options=('1-ddc 2-ddc - 1', '1-ddc 2-ddc - 2', '1-ddc 2-ddc …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import ipywidgets as widgets\n", "\n", "for key in KEYS:\n", " calculer(key) # sauvegarde les solutions dans ./test_{key}/s_{itera:03d}.npy\n", "\n", "def interactif(key,itera):\n", " t,xx,rrho,uu = np.load( f\"./test_{key}/s_{itera:03d}.npy\", allow_pickle=True )\n", " val = IC[key]\n", " rho_L, u_L = val[0]\n", " rho_R, u_R = val[1]\n", " rrho_ex,uu_ex, h_s, v_s = sol_exacte_riemann(xx,t,rho_L,u_L,rho_R,u_R)\n", " fig,ax = affichage(key,t,xx,rrho,uu,rrho_ex,uu_ex); # affichage de la solution \n", " return \n", "\n", "nb_fichiers = len(os.listdir(f\"./test_{key}\"))-1\n", "widgets.interact(interactif, key=KEYS, itera=widgets.IntSlider(min=0, max=nb_fichiers, step=1, value=0));\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "cde44f0b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3b38e94a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d629b26c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ccb3b420", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b76060bc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0be71004", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ac83c356", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "15ab5ed1", "metadata": {}, "outputs": [], "source": [] }, { "attachments": {}, "cell_type": "markdown", "id": "06d6a1c4", "metadata": {}, "source": [ "# VRAC" ] }, { "cell_type": "code", "execution_count": 121, "id": "a8de5701", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'h_L' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/tmp/ipykernel_26069/2331985691.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mitera\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnb_fichiers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mhh\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mvv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0;34mf\"./test_{key}/s_{itera:03d}.npy\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mallow_pickle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m \u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 15\u001b[0;31m \u001b[0mhh_ex\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mvv_ex\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mh_s\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mv_s\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msol_exacte_riemann\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mh_L\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mv_L\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mh_R\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mv_R\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 16\u001b[0m \u001b[0mH\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhh\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 17\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'h_L' is not defined" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D \n", "\n", "from matplotlib import cm\n", "# Axes3D import has side effects, it enables using projection='3d' in add_subplot\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "\n", "X , T = np.meshgrid(xx, range(nb_fichiers) )\n", "H = []\n", "\n", "for itera in range(nb_fichiers):\n", " t,_,hh,vv = np.load( f\"./test_{key}/s_{itera:03d}.npy\", allow_pickle=True )\n", " hh_ex,vv_ex, h_s, v_s = sol_exacte_riemann(xx,t,h_L,v_L,h_R,v_R)\n", " H.append(hh)\n", "\n", "H = np.array(H)\n", "H.reshape(nb_fichiers,len(xx))\n", "surf=ax.plot_surface(X,T,H)\n", "fig.colorbar(surf, shrink=0.5, aspect=5)\n", "\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$t$')\n", "ax.set_zlabel('$h$')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "3523e44d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Choix du cas test\n", "key = KEYS[3]\n", "val = IC[key]\n", "h_L, v_L = val[0]\n", "h_R, v_R = val[1]\n", "t_final = val[2]\n", "\n", "\n", "from mpl_toolkits.mplot3d import Axes3D \n", "\n", "from matplotlib import cm\n", "# Axes3D import has side effects, it enables using projection='3d' in add_subplot\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$t$')\n", "ax.set_zlabel('$h$')\n", "\n", "# data = []\n", "# for t in np.linspace(0,2,11):\n", "# hh_ex,vv_ex, h_s, v_s = sol_exacte_riemann(xx,t,h_L,v_L,h_R,v_R)\n", "# data.append([xx,np.ones_like(xx)*t,hh_ex]) \n", "# X,T,H = zip(*data)\n", "# ax.scatter(X,T,H)\n", "\n", "dt = 0.1\n", "\n", "tt = np.arange(0,t_final,dt)\n", "\n", "X , T = np.meshgrid(xx, tt)\n", "H = []\n", "for t in tt:\n", " hh_ex,vv_ex, h_s, v_s = sol_exacte_riemann(xx,t,h_L,v_L,h_R,v_R)\n", " H.append(hh_ex)\n", "H = np.array(H)\n", "H.reshape(len(tt),len(xx))\n", "\n", "surf = ax.plot_surface(X,T,H, rstride=1, cstride=1, cmap=cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "fig.colorbar(surf, shrink=0.5, aspect=5)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "478e6e7a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6e0b9389", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", "custom_cell_magics": "kql", "encoding": "# -*- coding: utf-8 -*-" }, "kernelspec": { "display_name": "Python 3.10.4 64-bit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6 (main, May 29 2023, 11:10:38) [GCC 11.3.0]" }, "vscode": { "interpreter": { "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" } } }, "nbformat": 4, "nbformat_minor": 5 }