{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import display, Latex\n", "from IPython.core.display import HTML\n", "css_file = './custom.css'\n", "HTML(open(css_file, \"r\").read()) " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python version 3.8.5 (default, Jul 28 2020, 12:59:40) \n", "[GCC 9.3.0]\n" ] } ], "source": [ "import sys #only needed to determine Python version number\n", "print('Python version ' + sys.version)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# M62_TD3 : Révisions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercice : construction d'un schéma\n", "\n", "Considérons le problème de Cauchy: \n", ">trouver $y \\colon [t_0,T]\\subset \\mathbb{R} \\to \\mathbb{R}$ tel que\n", "$$\\begin{cases}\n", "y'(t) = \\varphi(t,y(t)), &\\forall t \\in [t_0,T],\\\\\n", "y(t_0) = y_0.\n", "\\end{cases}$$\n", "Supposons que l'on ait montré l'existence d'une unique solution $y$. \n", "\n", "On subdivise l'intervalle $[t_0,T]$ en $N$ intervalles de longueur $h=(T-t_0)/N=t_{n+1}-t_n$. \n", "Pour chaque nœud $t_n=t_0 + nh$ ($1 \\le n \\le N$) on cherche la valeur inconnue $u_n$ qui approche $y(t_n)$. \n", "L'ensemble de $N+1$ valeurs $\\{u_0 = y_0, u_1,\\dots, u_{N} \\}$ représente la solution numérique. \n", "\n", "\n", "Dans cette exercice on va construire des nouveaux schémas numériques basés sur l'intégration de l'EDO $y'(t)=\\varphi(t,y(t))$ entre $t_n$ et $t_{n+2}$:\n", "$$\n", "y(t_{n+2})=y(t_n)+\\int_{t_n}^{t_{n+2}} \\varphi(t,y(t))\\mathrm{d}t.\n", "$$\n", "1. En utilisant la formule de quadrature du point milieu pour approcher le membre de droite écrire un schéma numérique explicite permettant de calculer $u_{n+2}$ à partir de $u_{n+1}$ et $u_{n}$. Notons que ce schéma a besoin de deux valeurs initiales; on posera alors $u_0=y_0$ et $u_{1}$ sera approché par une prédiction d'Euler progressive.\n", "2. En utilisant la formule de quadrature de Cavalieri-Simpson pour approcher le membre de droite écrire un schéma numérique implicite permettant de calculer $u_{n+2}$ à partir de $u_{n+1}$ et $u_{n}$. Notons que ce schéma a besoin de deux valeurs initiales; on posera alors $u_0=y_0$ et $u_{1}$ sera approché par une prédiction d'Euler progressive. \n", "3. Proposer une modification du schéma au point précédent pour qu'il devient explicite.\n", "\n", "**Rappels:** une formule de quadrature interpolatoire approche l'intégrake d'une fonction $f$ par l'intègrale dun polynôme qui interpole $f$ en des points donnés: $\\int_a^b f(t)\\mathrm{d}t\\approx\\int_a^b p(t)\\mathrm{d}t$\n", "+ la formule de quadrature du point milieu considère comme points d'interpolation le point $\\frac{a+b}{2}$ ainsi\n", "$$\n", "\\int_a^b f(t)\\mathrm{d}t\\approx\\int_a^b f\\left(\\frac{a+b}{2}\\right)\\mathrm{d}t = (b-a)f\\left(\\frac{a+b}{2}\\right)\n", "$$\n", "+ la formule de Simpson considère comme points d'interpolation les points $\\left\\{a,\\frac{a+b}{2},b\\right\\}$ ainsi\n", "$$\n", "\\int_a^b f(t)\\mathrm{d}t\\approx \\frac{b-a}{6}\\left[f(a)+4f\\left(\\frac{a+b}{2}\\right)+f(b)\\right]\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction\n", "\n", "Si on utilise la formule de quadrature du point milieu sur l'intervalle $[t_n;t_{n+2}]$, ie\n", "$$\n", "\\int_{t_n}^{t_{n+2}} \\varphi(t,y(t))\\mathrm{d}t\\approx 2h \\varphi\\left(t_{n+1},y(t_{n+1})\\right)\n", "$$\n", "on obtient\n", "$$\\begin{cases}\n", "u_0=y(t_0)=y_0,\\\\\n", "u_1\\approx y(t_1)\\\\\n", "u_{n+2}=u_{n}+2h \\varphi(t_{n+1},u_{n+1})& n=0,1,\\dots N-2\n", "\\end{cases}$$\n", "où $u_{1}$ est une approximation de $y(t_1)$. Nous pouvons utiliser une prédiction d'Euler progressive pour approcher $u_1$. Nous avons construit ainsi un nouveau schéma explicite à 2 pas:\n", "$$\\begin{cases}\n", "u_0=y(t_0)=y_0,\\\\\n", "u_1=u_0+h\\varphi(t_{0},u_{0}),\\\\\n", "u_{n+2}=u_{n}+2h \\varphi(t_{n+1},u_{n+1})& n=0,1,\\dots N-2\n", "\\end{cases}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction\n", "\n", "Si on utilise la formule de quadrature de Cavalieri-Simpson sur l'intervalle $[t_n;t_{n+2}]$, ie\n", "$$\n", "\\int_{t_n}^{t_{n+2}} \\varphi(t,y(t))\\mathrm{d}t\\approx \\frac{h}{3} \\left( \\varphi(t_{n},y(t_{n}))+4\\varphi(t_{n+1},y(t_{n+1}))+\\varphi(t_{n+2},y(t_{n+2})) \\right),\n", "$$\n", "et avec une prédiction d'Euler explicite pour approcher $u_1$, nous obtenons un nouveau schéma implicite à 3 pas:\n", "$$\\begin{cases}\n", "u_0=y(t_0)=y_0,\\\\\n", "u_1=u_0+h\\varphi(t_{0},u_{0}),\\\\\n", "u_{n+2}=u_{n}+\\frac{h}{3} \\left( \\varphi(t_{n},u_{n})+4\\varphi(t_{n+1},u_{n+1})+\\varphi(t_{n+2},u_{n+2}) \\right)& n=0,1,\\dots N-2\n", "\\end{cases}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction\n", "\n", "Pour éviter le calcul implicite de $u_{n+2}$, nous pouvons utiliser une technique de type predictor-corrector et remplacer le $u_{n+2}$ dans le terme $\\varphi(t_{n+2},u_{n+2})$ par exemple par $\\tilde u_{n+2}=u_{n+1}+h \\varphi(t_{n+1},u_{n+1})$. Nous avons construit ainsi un nouveau schéma explicite à 3 pas:\n", "$$\\begin{cases}\n", "u_0=y(t_0)=y_0,\\\\\n", "u_1=u_0+h\\varphi(t_{0},u_{0}),\\\\\n", "u_{n+2}=u_{n}+\\frac{h}{3} \\left( \\varphi(t_{n},u_{n})+4\\varphi(t_{n+1},u_{n+1})+\\varphi(t_{n+2},u_{n+1}+h \\varphi(t_{n+1},u_{n+1}) \\right)& n=0,1,\\dots N-2\n", "\\end{cases}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercice : EDO d'ordre 2\n", "Considérons le problème de Cauchy\n", "$$\n", "\\begin{cases}\n", "y''(t)= ty(t), &t\\in[0;4.5]\\\\\n", "y(0)=0.355028053887817,\\\\\n", "y'(0)=-0.258819403792807.\n", "\\end{cases}\n", "$$\n", "Transformer l'EDO d'ordre 2 en un système de deux EDO d'ordre 1. \n", "Calculer la valeur approchée de $y$ en $t=4.5$ obtenue avec le schéma RK4 avec un pas de discrétisation $h=0.001$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction\n", "On appelle $x(t)=y(t)$ et $z(t)=y'(t)$, alors on a $x'(t)=y'(t)=z(t)$ et $z'(t)=y''(t)=ty(t)=tx(t)$ donc\n", "\n", "$$\n", "\\begin{cases}\n", "x'(t)= z(t)\\\\\n", "z'(t)=tx(t)\\\\\n", "x(0)=0.355028053887817,\\\\\n", "z(0)=-0.258819403792807.\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "u(4.50)=0.0003302503231810\n" ] } ], "source": [ "def RK4(phi1,phi2,tt,y0,yp0):\n", " uu1 = [y0]\n", " uu2 = [yp0]\n", " for i in range(len(tt)-1):\n", " k1_1 = phi1( tt[i] , uu1[i] \t\t, uu2[i] )\n", " k1_2 = phi2( tt[i] , uu1[i] \t\t, uu2[i] )\n", " k2_1 = phi1( tt[i]+h/2 , uu1[i]+h*k1_1/2, uu2[i]+h*k1_2/2 )\n", " k2_2 = phi2( tt[i]+h/2 , uu1[i]+h*k1_1/2, uu2[i]+h*k1_2/2 )\n", " k3_1 = phi1( tt[i]+h/2 , uu1[i]+h*k2_1/2, uu2[i]+h*k2_2/2 )\n", " k3_2 = phi2( tt[i]+h/2 , uu1[i]+h*k2_1/2, uu2[i]+h*k2_2/2 )\n", " k4_1 = phi1( tt[i+1] , uu1[i]+h*k3_1\t, uu2[i]+h*k3_2 )\n", " k4_2 = phi2( tt[i+1] , uu1[i]+h*k3_1\t, uu2[i]+h*k3_2 )\n", " uu1.append( uu1[i] + (k1_1+2.0*k2_1+2.0*k3_1+k4_1)*h/6 )\n", " uu2.append( uu2[i] + (k1_2+2.0*k2_2+2.0*k3_2+k4_2)*h/6 )\n", " return [uu1,uu2]\n", "\n", "phi1 = lambda t,y1,y2 : y2\n", "phi2 = lambda t,y1,y2 : t*y1\n", "\n", "t0=0.0\n", "y0=0.355028053887817\n", "yp0=-0.258819403792807\n", "h=0.001\n", "\n", "tt=[t0+i*h for i in range(4501)]\n", "[uu1,uu2]=RK4(phi1,phi2,tt,y0,yp0) \n", "print(\"u(%1.2f)=%1.16f\"%(tt[-1],uu1[-1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercice : Étude d'un problème numériquement mal posé\n", "\n", "Considérons le problème de Cauchy\n", "$$\n", "\\begin{cases}\n", "y'(t)=3y(t)-4e^{-t}, & t\\in[0;1],\\\\\n", "y(0)=1+\\varepsilon.\n", "\\end{cases}\n", "$$\n", "1. Calculer la solution exacte.\n", "2. Utiliser la méthode RK4 pour calculer la solution approchée avec un pas $h=\\frac{1}{10}$ et comparer à la solution exacte pour trois valeurs des $\\varepsilon$, à savoir $\\varepsilon=1$, $\\varepsilon=\\frac{1}{10}$ et $\\varepsilon=0$. \n", "3. Même exercice avec la méthode d'Euler explicite.\n", "3. Commenter les résultats." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction : solution exacte (avec `SymPy`)\n", "La solution exacte est $y(t)=\\varepsilon e^{3t}+e^{-t}$.\n", "\n", "Si $\\varepsilon=0$, la solution exacte devient donc $y(t)=e^{-t}$ mais le problème est **mal conditionné** car toute (petite) erreur de calcul a le même effet qu'une perturbation de la condition initiale: on \"réveil\" le terme dormant $e^{3t}$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EDO\n" ] }, { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{d}{d t} y{\\left(t \\right)} = 3 y{\\left(t \\right)} - 4 e^{- t}$" ], "text/plain": [ "d -t\n", "──(y(t)) = 3⋅y(t) - 4⋅ℯ \n", "dt " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Solution generale\n" ] }, { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle y{\\left(t \\right)} = C_{1} e^{3 t} + e^{- t}$" ], "text/plain": [ " 3⋅t -t\n", "y(t) = C₁⋅ℯ + ℯ " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "En prenant en compte la CI on trouve\n" ] }, { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left\\{ C_{1} : \\epsilon\\right\\}$" ], "text/plain": [ "{C₁: ε}" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Solution particuliere\n" ] }, { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle y{\\left(t \\right)} = \\epsilon e^{3 t} + e^{- t}$" ], "text/plain": [ " 3⋅t -t\n", "y(t) = ε⋅ℯ + ℯ " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%reset -f\n", "\n", "import sympy as sym\n", "sym.init_printing(pretty_print=True)\n", "\n", "sym.var('t,epsilon')\n", "y=sym.Function('y')\n", "\n", "edo=sym.Eq( sym.diff(y(t),t), 3*y(t)-4*sym.exp(-t) )\n", "\n", "print(\"EDO\") \n", "display(edo)\n", "\n", "print(\"\\nSolution generale\") \n", "soln=sym.dsolve(edo,y(t))\n", "display(soln.expand())\n", "\n", "print(\"\\nEn prenant en compte la CI on trouve\") \n", "t0 = 0\n", "y0 = 1+epsilon\n", "constants = sym.solve([soln.rhs.subs(t,t0) - y0])\n", "display(constants)\n", "\n", "print(\"\\nSolution particuliere\")\n", "sym.var('C1')\n", "solp = soln.subs(constants)\n", "display(solp.expand())" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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+1+s4IuLnVGAQkYD3RlImnVs24dQerb2O4hkziwXeAu5xzh2oZczZVBUY7q/l/AwzSzKzpNzc3MYLKyJB7fOUHEZ2a0nLZlFeR5EGYGY8csVgEls34+7XVpN3UP0YRKR2KjCISEDLyC9i8dY8rh7ZhbAw8zqOJ8wskqriwlzn3IJaxgwBngcmOudq/AjKOfesc26Uc25UQkJC4wUWkaC1e/9hNu4+wDn923kdRRpQbHRVP4Z9RerHICLHpgKDiAS0N1dmAnDVqNBsK2BmBrwApDjn/lzLmK7AAmCqc26zL/OJSGj5IiUHQP0XgtCAjs35n0sH8O0W9WMQkdpFeB1ARORkVVY63lyZyWm92tCpRROv43hlPDAVWG9ma6qP/RfQFcA5Nwv4b6A18HRVPYJy59woD7KKSJD7IiWbrq2a0jMh1uso0ggmj+nKsvR8/vzZZkZ0a8m4nm28jiQifua4BQYzmw1cAuQ45wZVH5sP9K0e0gIocM4Nq+Gx24FCoAK9oRWRBvb91r3sKjjMAxf28zqKZ5xz3wHHXBvinLsFuMU3iUQkVBWVlrN4616mjO1KdTEzZJjZBOBvQDjwvHPu90edbwnMBnoCxcDNzrkNPg9aT2bGoz8ezIas/dz92ho+/OlptI2L8TqWiPiRuiyRmANMOPKAc+5a59yw6qLCW1RNva3N2dVjVVwQkQY1PymD+CaRnDdAa31FRLy2OG0vpeWVnBti/RfMLBx4CrgQGABcZ2YDjhr2X8Aa59wQYBpVxYiAFBsdwdNTRlBYXMbd89ZQoX4MInKE4xYYnHOLgPyazlWv/b0GmNfAuUREjin/UCmfbNjDFcM7ERMZ7nUcEZGQ9/nGbOKiIxid2MrrKL42BkhzzqU750qB14CJR40ZAHwB4JxLBRLNLGArMf3aN+fhiYNYkr6Xv3ym1j4i8v/Vt8nj6UC2c25LLecd8KmZrTSzGfX8WSIi/7JgVSalFZVcN6ar11FEREJeRaXji9RszurXlqiIkOsh3gnIOOJ+ZvWxI60FfgxgZmOAbkCN3YkDZcvga0Z14ZpRnXnyqzS+2pTjdRwR8RP1fQW4jmPPXhjvnBtB1ZSxO83sjNoGBsrFVES855xj3vKdjOjagr7t47yOIyIS8lbv3EfewdJQXbJWU8OJo9cN/B5oWd2M9yfAaqC8picLpC2DH544iH7t4/jZ/DXsKjjsdRwR8QMnXWAwswiqKrHzaxvjnMuq/p4DvE3VFLLaxgbMxVREvJW0Yx9bcw8xSbMXRET8wmcbs4kMN87qG5Lv4TKBLkfc7wxkHTnAOXfAOXdTdf+yaUACsM13ERtHTGQ4/7h+JBUVjjvmrqKkvMLrSCLisfrMYDgXSHXOZdZ00syamVncD7eB84GA65YrIv5n3vKdxEVHcMmQDl5HERERqgoMp/RoTfOYSK+jeGEF0NvMuptZFDAJeO/IAWbWovocVO3qs8g5d8DHORtF9zbNeOzqIazNKOCRD1O8jiMiHjtugcHM5gFLgL5mlmlm06tPTeKo5RFm1tHMFlbfbQd8Z2ZrgeXAh865jxsuuoiEov1FZXy4bjeXDetI06jj7rQrIiKNLC3nIOl5hzg/NJdH4JwrB+4CPgFSgNedc8lmNtPMZlYP6w8km1kqVUuH7/YmbeOYMKgDt57enZeX7ODdNbu8jiMiHjruu3Pn3HW1HL+xhmNZwEXVt9OBofXMJyLyb95enUlJuZo7ioj4i0837gHg3BAtMAA45xYCC486NuuI20uA3r7O5Uv3TejHmowCHnhrPf3aN1ePJJEQFXJtfkUkcDnneHXZToZ2acGgTvFexxEREaqWRwzuFE+H+CZeRxEPRYaH8dTkEcTGRHD7qyspLC7zOpKIeEAFBhEJGMu35ZOWc5ApYzV7QUTEH+QUFrMmoyBUd4+Qo7RtHsNTk0ewI7+IX76xDueO3kxDRIKdCgwiEjDmLttJ85gILh3S0esoIiICfJqcjXMwYVB7r6OInxjTvRW/urAfHyfv4ZlF6V7HEREfU4FBRAJC3sESPtqwmytHdqZJVLjXcUREBPgkeQ892jSjd9tYr6OIH5l+WncuHtyBP36cyvdpeV7HEREfUoFBRALCG0mZlFU4LY8QEfET+4vKWLJ1L+cPbI+ZeR1H/IiZ8YerhtAzIZa75q1mV8FhryOJiI+owCAifq+i0vHP5Ts4pUcrerVVV2oREX/wRWo25ZVOyyOkRrHREcyaOpLS8krueHUlxWUVXkcSER9QgUFE/N43m3PIyD/MlLHdvI4iIiLVPt6whw7xMQzRrj5Si54JsTx+zVDWZu7nf95NVtNHkRCgAoOI+L2Xvt9B27hofUomIuInikrL+WZzLhcMbE9YmJZHSO0uGNieu87uxfykDP65fKfXcUSkkanAICJ+bXveIb7ZnMvksV2JDNclS0TEH3yzKZeS8kouGKjCrxzfz87rw5l9EnjovWRW7tjndRwRaUR6ty4ifu2VpTuICDMmj1FzRxERf/Fx8h5aNYtidGJLr6NIAAgPM56YNJwO8U24/dWV5Bwo9jqSiDQSFRhExG8VlZbzRlIGEwa1p23zGK/jiIgIUFxWwRcpOZzXvx0RmlkmdRTfNJJnp42ksLic2+euorS80utIItII9KogIn7r3TVZHCguZ9qpiV5HERGRat9uyeNgSTkXDengdRQJMP3aN+dPVw9l5Y59PPR+stdxRKQRqMAgIn7JOcdL32+nX/s4TcEVEfEjH63fTXyTSMb1bO11FAlAFw/pwO1n9eSfy3Yyd9kOr+OISANTgUFE/NKS9L2k7inkpvGJmKlDuYiIPygpr+CzjdmcP6CdGu/KSfvF+X3/1fQxaXu+13FEpAHplUFE/NKLi7fTsmkkE4d18jqKiIhU+25LHoVaHiH19EPTx84tmzLz1VVkFRz2OpKINBAVGETE7+zcW8TnKdlMHtuVmMhwr+OIiEi1hev30DwmgvE923gdRQJcfNNInps2kuKyCm57ZSXFZRVeRxKRBqACg4j4nZeWbCfcjKmnJHodRUREqpWWV/LZxj2cN6A9URF6Cyn116ttHH+9dhgbsvbzwFvrcM55HUlE6kmvDiLiVw6VlPP6igwuHNyB9vHamlJExF8sTsvjQHE5Fw9p73UUCSLnDmjHvef14Z01WTyzKN3rOCJSTyowiIhfeXNlJoUl5dw0PtHrKAHBzLqY2VdmlmJmyWZ2dw1jzMyeMLM0M1tnZiO8yCoige2DdbuJi4lgfC8tj5CGdefZvbh4SAf+8HEqX6XmeB1HROpBBQYR8RsVlY7Zi7cxomsLRnTV1pR1VA7c65zrD5wC3GlmA44acyHQu/prBvAP30YUkUBXUl7Bp8l7uGBge6Ij1BtHGpaZ8dhVQxjQoTk/nbeatJxCryOJyElSgUFE/MZnG7PZsbeIW07v4XWUgOGc2+2cW1V9uxBIAY7eemMi8LKrshRoYWZqAS8idfbNplwKS8q5dGhHr6NIkGoaFcGz00YRHRnG9JeS2Heo1OtIInISVGAQEb/xwnfpdG7ZhPMHtPM6SkAys0RgOLDsqFOdgIwj7mfyn0UIEZFavb9uNy2bRjKuZ2uvo0gQ69SiCc9MHcnugmLu/OcqyioqvY4kIidIBQYR8QtrMgpYsX0fN4/vTkS4Lk0nysxigbeAe5xzB44+XcND/qNVt5nNMLMkM0vKzc1tjJgiEoCKSsv5fGM2Fw7uQKSuz9LIRnZrxaM/Hsz3W/fy8PsbvY4jIidIrxIi4hee/zaduOgIrhndxesoAcfMIqkqLsx1zi2oYUgmcOR/2M5A1tGDnHPPOudGOedGJSQkNE5YEQk4X6bmcLisgkuGaGWV+MZVIztz2xk9eGXpDl5est3rOCJyAlRgEBHPZeQX8dGGPVw3tiux0RFexwkoZmbAC0CKc+7PtQx7D5hWvZvEKcB+59xun4UUkYD2wdrdJMRFM7a7lkeI79w3oR/n9m/Lb9/fyLdbNKtOJFAct8BgZrPNLMfMNhxx7CEz22Vma6q/LqrlsRPMbFP11mgPNGRwEQkeL3y3DQNtTXlyxgNTgR8deU02s5lmNrN6zEIgHUgDngPu8CiriASYwuIyvtyUw8WDOxAeVtNqK5HGER5m/HXScHq3jeXOuavYmnvQ60giUgd1+ahwDvAk8PJRx//inPtTbQ8ys3DgKeA8qqbnrjCz95xzWkwlIv+y71Ap81dkMHFYJzrEN/E6TsBxzn1HzT0WjhzjgDt9k0hEgsmnydmUlldy6VAtjxDfi42O4Llpo7j8qcVMn7OCt+8YT8tmUV7HEpFjOO4MBufcIiD/JJ57DJDmnEt3zpUCr1G1VZqIyL+8unQHh8sqmHGGtqYUEfE376zZReeWTRjRtaXXUSREdWnVlGenjSSroJiZr66ktFw7S4j4s/r0YLjLzNZVL6Go6VXnhLZFU/dykdBTXFbBnO+386N+benbPs7rOCIicoScwmIWp+UxcVhHqtq9iHhjZLdW/PGqISzbls+v315P1cQ8EfFHJ1tg+AfQExgG7AYer2FMnbZF+9cJdS8XCTlvrsxk76FSbtPsBRERv/Phut1UOrh8WK2fD4n4zOXDO/HTc3rzxspMnlmU7nUcEanFSRUYnHPZzrkK51wlVQ3DxtQwrE7boolIaCqvqOS5b9MZ2qUFY7q38jqOiIgc5Z01WQzo0Jze7TTD7HiO19jczOLN7H0zW2tmyWZ2kxc5A93Pzu3NpUM78vuPUvl4gzZDEvFHJ1VgMLMjO/1cAWyoYdgKoLeZdTezKGASVVuliYjw4frd7NhbxB1n9dTUWxERP7Mt7xBrMwqYOKyj11H83hGNzS8EBgDXmdmAo4bdCWx0zg0FzgIer35/LCfAzHjsqiGM6NqCe+avYW1GgdeRROQoddmmch6wBOhrZplmNh34o5mtN7N1wNnAz6rHdjSzhQDOuXLgLuATIAV43TmX3Ei/h4gEEOcc//h6K73bxnJe/3ZexxERkaO8tyYLM7hMBYa6qEtjcwfEWVVFPZaqBurlvo0ZHGIiw3l22ijaxEYz/aUkMvcVeR1JRI5Ql10krnPOdXDORTrnOjvnXnDOTXXODXbODXHOXeac2109Nss5d9ERj13onOvjnOvpnHukMX8REQkcX6bmkLqnkNvP6kmY9lUXEfErzjneXbOLMYmttH1w3dSlsfmTQH+qlguvB+6uXmosJ6FNbDQv3jiakvIKbp6zggPFZV5HEpFq9dlFQkTkhDnneOqrNDq1aMKlQ/XJmIiIv1mbuZ/0vEP8eISaO9ZRXRqbXwCsATpS1ST9STNrXuOTaWe1OundLo5Z148kPfcQd85dRVmF6jUi/kAFBhHxqWXb8lm1s4CZZ/YgMlyXIBERf7NgVSbREWFcOLjD8QcL1K2x+U3AAlclDdgG9KvpybSzWt2N79WGR68YzLdb8njwnQ3avlLED+jdvYj41N+/3EKb2GiuHtXl+INFRMSnSssreW9tFucNaEfzmEiv4wSKujQ23wmcA2Bm7YC+gPZabADXjO7CXWf34rUVGTz99Vav44iEvAivA4hI6Fi5Yx+L0/by64v6ExMZ7nUcERE5ytebcigoKuPKEZ29jhIwnHPlZvZDY/NwYLZzLtnMZlafnwX8DphjZuupWlJxv3Muz7PQQebe8/uQsa+Ixz7ZROeWTZg4TMt7RLyiAoOI+Mzfv9xCq2ZRTDmlq9dRRESkBgtW7aJNbBSn927jdZSA4pxbCCw86tisI25nAef7OleoMDP+eNUQdu8v5pdvrKN98xjG9mjtdSyRkKQlEiLiE+syC/h6Uy7TT+tO0yjVNkVE/E1BUSlfpuYwcVgnItQjRwJMdEQ4z04dSZdWTbj15STScgq9jiQSkvTqISI+8fcv04hvEsm0U7t5HUVERGrwwbrdlFZUcsVwTS+XwNSiaRRzbhpDVEQ4N8xeQc6BYq8jiYQcFRhEpNElZ+3ns43Z3DQ+kTg1DRMR8Utvrsykb7s4BnascfdEkYDQpVVTXrxxNPmHSrn5pRUcLCn3OpJISFGBQUQa3V8/30JcTAQ3je/udRQREalBWk4hazIKuHpUZ8zM6zgi9TK4czxPTxlByu5C7pi7iiPmcqIAACAASURBVLKKSq8jiYQMFRhEpFFt2FU1e+GW03oQ30SzF0RE/NEbSZlEhBmXa3mEBImz+7Xl0SsGsWhzLr9asB7nnNeRREKCOq2JSKP66+ebaR4TwU2nJXodRUREalBeUcmC1bs4u19b2sRGex1HpMFcO7orWQXF/O2LLXSMj+Hn5/f1OpJI0FOBQUQazdqMAj5PyeEX5/ehuXoviIj4pW8255JbWMLVIzt7HUWkwd1zbm/27C/miS/TaBcfw5SxajYt0phUYBCRRvPXzzfTomkkN4xL9DqKiIjU4o2kTNrERnF2v7ZeRxFpcGbGI1cMIu9gCQ++s4E2sdFcMLC917FEgpZ6MIhIo1i5I5+vNuUy44we2jlCRMRP5R8q5YvUbC4f1onIcL0tlOAUER7Gk5NHMLRLC346bzUrtud7HUkkaOmVREQanHOOxz7ZRJvYaG7U7AUREb+1YFUmZRWOq0d18TqKSKNqEhXOCzeMplPLJkyfs4JNewq9jiQSlFRgEJEGtzhtL0vT87nz7J40jdJKLBERf+ScY/6KDIZ1aUHf9nFexxFpdK2aRfHyzWNoEhXODbOXs6vgsNeRRIKOCgwi0qCcczz26SY6xscweWxXr+OIiEgtVu0sYEvOQa4bo9kLEjo6t2zKSzeP4VBpOdNeWEb+oVKvI4kEFRUYRKRBfZ6Sw9qMAu4+tzfREeFexxERkVq8tnwnzaLCuWRIR6+jiPhUv/bNeX7aKDL2HebmOSs4VFLudSSRoKECg4g0mIpKx2OfpNK9TTOuHKHtzkRE/FVhcRkfrNvNpUM70ixaS9kk9Izt0ZonrxvOuswCbp+7itLySq8jiQQFFRhEpMEsWJXJ5uyD/OL8vkSoG7mIiN96b20Wh8sqmDRGS9kkdJ0/sD2///EQFm3O5d431lJZ6byOJBLw9BeAiDSI4rIK/vLZZoZ2jueiwdpf2lfMbLaZ5ZjZhlrOx5vZ+2a21sySzewmX2cUEf8zf0UG/drHMbRzvNdRRDx1zeguPHBhP95fm8VD7yfjnIoMIvWhAoOINIhXl+4ga38x90/oh5l5HSeUzAEmHOP8ncBG59xQ4CzgcTOL8kEuEfFT6zP3sy5zP5NGd9H1WgSYeWZPbjujBy8v2cFfPt/idRyRgKZFdyJSbweKy3jyqzRO792Gcb3aeB0npDjnFplZ4rGGAHFW9VdELJAPqJuVSAj75/IdxESGcYV65Yj8ywMX9mNfUSlPfLGFFk0iufm07l5HEglIKjCISL09/dVW9h8u4/4J/byOIv/pSeA9IAuIA651zqmTlUiIKiwu4901WVw2tCPxTSK9jiPiN8yMR68YzP7DZTz8wUbim0Ry5UgV4URO1HGXSNS0vtfMHjOzVDNbZ2Zvm1mLWh673czWm9kaM0tqyOAi4h8y9xUxe/E2rhjWiUGdtJbXD10ArAE6AsOAJ82seU0DzWyGmSWZWVJubq4vM4qIj7yzJoui0gomj+3mdRQRvxMRHsbfJg1nfK/W3PfWOj5N3uN1JJGAU5ceDHP4z/W9nwGDnHNDgM3Ar47x+LOdc8Occ6NOLqKI+LPHP92MAfde0NfrKFKzm4AFrkoasA2ocaqJc+5Z59wo59yohIQEn4YUkcbnnGPu0h0M7NhczR1FahETGc4zU0cxqFM8d81bzeK0PK8jiQSU4xYYnHOLqFqze+SxT51zP6zhXQpo/pBICFqfuZ+3V+/i5tO606lFE6/jSM12AucAmFk7oC+Q7mkiEfHEqp0FpO4pZMrYbmruKHIMsdERvHTTaLq3bsatLyexauc+ryOJBIyG2EXiZuCjWs454FMzW2lmMxrgZ4mIn3DO8cjCjbRqFsXtZ/X0Ok7IMrN5wBKgr5llmtl0M5tpZjOrh/wOGGdm64EvgPudc/o4RiQEzV22g2ZR4Vw2rKPXUUT8XoumUbwyfQwJcdHcOHs5KbsPeB1JJCDUq8mjmf2aqm7kc2sZMt45l2VmbYHPzCy1ekZETc81A5gB0LVr1/rEEhEf+HRjNkvT83l44kCax6hRmFecc9cd53wWcL6P4oiIn9p7sIQP1u7m2tFdiI1Wj2+RumjbPIZXp4/l6llLmPrCMl6/7VR6JMR6HUvEr530DAYzuwG4BJjinHM1jal+Y4tzLgd4GxhT2/Np7a9I4Cgpr+DRhSn0bhvL5DEqCIqI+Lv5SRmUVlQy7VQ1dxQ5EV1aNeXVW8biHEx5fhkZ+UVeRxLxaydVYDCzCcD9wGXOuRr/lZlZMzOL++E2VZ+gbahprIgElpe/38GOvUX85pIBRIQ3xEorERFpLBWVjrlLd3Jqj9b0bhfndRyRgNOrbSyvTB/LoZJyrn9hGdkHir2OJOK36rJN5X+s76VqX/U4qpY9rDGzWdVjO5rZwuqHtgO+M7O1wHLgQ+fcx43yW4iIz+w9WMITX2zh7L4JnNlHs41ERPzdFynZ7Co4zA3jNHtB5GQN6Nicl24eQ15hCZOfW0rewRKvI4n4peMuwqtlfe8LtYzNAi6qvp0ODK1XOhHxO49/tpmisgp+fXF/r6OIiEgdvLxkBx3iYzi3fzuvo4gEtOFdWzL7xtHc8OJypr6wnHm3jqVF0yivY4n4Fc1tFpE627BrP/OW7+SGUxPp1VbTbEVE/N3W3IN8l5bHlLFdtaRNpAGM7dGaZ6eOYmvOQW6YvZzC4jKvI4n4Fb3SiEidOOd46L1kWjWN4u5ze3sdR0RE6mDO4u1EhYdx7Wg15BVpKGf0SeCpKSNIzjrATS+u4FBJudeRRPyGCgwiUifvrskiacc+7p/Qj/gm2pZSRMTf7T9cxlurMrl0aEcS4qK9jhPUzGyCmW0yszQze6CG87+s7lu2xsw2mFmFmbXyIqs0jPMGtOOJ64azauc+pr+0gsOlFV5HEvELKjCIyHEdLCnn/z5KYWjneK4a2dnrOCIiUgevr8igqLSCm8Yneh0lqJlZOPAUcCEwALjOzAYcOcY595hzbphzbhjwK+Ab51y+79NKQ7pocAf+cu0wlm3LZ8YrSRSXqcggogKDiBzXE19sIftACQ9dNpCwMPM6joiIHEd5RSVzvt/OmO6tGNQp3us4wW4MkOacS3fOlQKvAROPMf46YJ5PkkmjmzisE3+8cgjfbslj5qsrKSlXkUFCmwoMInJMm/YUMvu7bUwa3YXhXVt6HUdEROrg8+qtKW/W7AVf6ARkHHE/s/rYfzCzpsAE4C0f5BIfuXpUFx69YjBfb8rlzrmrKC2v9DqSiGdUYBCRWjnnePDdDcTGRHDfhH5exxERkTqavXg7nVo04bwB7b2OEgpqmtrnahl7KbD4WMsjzGyGmSWZWVJubm6DBJTGN3lsVx6eOJDPU3L4ybxVlFWoyCChSQUGEanV26t3sXxbPvdP6EerZtrnWUQkEKzP3M/ybfncMK4b4VrW5guZQJcj7ncGsmoZO4njLI9wzj3rnBvlnBuVkJDQQBHFF6admsj/XDqAT5Kz+em81SoySEhSgUFEarS/qIxHF6YwtEsLrh3V5fgPEBERv/Dct+nERkcwaYy2pvSRFUBvM+tuZlFUFRHeO3qQmcUDZwLv+jif+NBN47vzm4v789GGPdwzfw3lKjJIiInwOoCI+Kfff5xK/qFS5tw0Ro0dRUQCxK6Cw3y4fjc3jUukeYy2FPYF51y5md0FfAKEA7Odc8lmNrP6/KzqoVcAnzrnDnkUVXzkltN74Bw8sjAFgL9dO4yIcH2uK6FBBQYR+Q9J2/OZt3wnt5zWXd3HRUQCyJzF2wC46bTuHicJLc65hcDCo47NOur+HGCO71KJl249owcOx6MLUwEVGSR0qMAgIv+mtLyS/3p7PR3jY/jZeX28jiMiInV0oLiMecszuHhwBzq1aOJ1HJGQN+OMngAqMkhIUYFBRP7Nc9+mszn7IM9PG0WzaF0iREQCxfzlGRwsKefW03t4HUVEqh1ZZHDO8bdJw4lUkUGCmP56EJF/Sc89yN++2MKEge05d0A7r+OIiEgdlZZX8sJ32xjbvRWDO2tpm4g/mXFGT8LM+N8PU6isXM3fJ6vIIMFL/2eLCACVlY4HFqwnJiKMhycO9DqOiIicgHfX7GLPgWJuP6un11FEpAa3nN6D/75kAB8n7+GOuasoLdfuEhKcVGAQEQDmrdjJ8m35/Pri/rRtHuN1HBERqaPKSsczi9Lp36E5Z/ZJ8DqOiNTi5tO689vLBvLZxmxuf3UlJeUVXkcSaXAqMIgIe/YX8/uFqYzr2ZprRnXxOo6IiJyAz1OyScs5yMwze2CmbYVF/NkN4xJ55IpBfJGaw4yXV1JcpiKDBBcVGERCnHOO/3p7PWWVlTx6xWC9ORURCSDOOWZ9s5UurZpw8eAOXscRkTqYMrYbf7hyMIu25DL9pRUUlZZ7HUmkwajAIBLiFqzaxZepOdx3QT8S2zTzOo6IiJyAFdv3sWpnATNO76Ht70QCyLWju/Knq4ayZOtebpy9goMlKjJIcNArkUgIyz5QzG/fT2Z0YktuHJfodRwRETlBT36VRpvYKK7W8jaRgHPlyM78bdJwVu7cx9QXlrH/cJnXkUTqTQUGkRDlnOPXb6+npLySP141lLAwLY0QEQkkazMKWLQ5l1tO70FMZLjXcUTkJFw6tCNPTR7Bhl37mfzcUvIPlXodSaReVGAQCVFvrszk85QcfnlBX7praYSISMB58qs04ptEcv0p3byOIiL1MGFQe56dNoq0nINMenYJOYXFXkcSOWkqMIiEoMx9RTz8/kbGdG/FzeO7ex1HREROUOqeA3y2MZubxicSGx3hdRwRqaez+7blxZtGk7nvMNc+s5RdBYe9jiRyUlRgEAkxlZWOX76xjkrnePxqLY0IdGY228xyzGzDMcacZWZrzCzZzL7xZT4RaRxPfbWV2OgI9c8RCSLjerbhleljyDtYwjWzlrA975DXkUROmAoMIiHmpSXbWZK+l99cMoAurZp6HUfqbw4wobaTZtYCeBq4zDk3ELjaR7lEpJGk5Rzkg3VZXH9KN1o0jfI6jog0oJHdWjHv1lMoKi3n6meWsGlPodeRRE7IcQsMNX06ZmatzOwzM9tS/b1lLY+dYGabzCzNzB5oyOAicuI2Zxfyfx+lcnbfBCaNVsfxYOCcWwTkH2PIZGCBc25n9fgcnwQTkUbz9y+3EBMRzq2na4mbSDAa1Cme1287FQOufXYJazMKvI4kUmd1mcEwh//8dOwB4AvnXG/gi+r7/8bMwoGngAuBAcB1ZjagXmlF5KSVlFfw03mriYuO4I9XDcVMSyNCRB+gpZl9bWYrzWxabQPNbIaZJZlZUm5urg8jikhdpeUc5L21WUwb143WsdFexxGRRtK7XRxvzhxHXEwEU55fxtL0vV5HEqmT4xYYavl0bCLwUvXtl4DLa3joGCDNOZfunCsFXqt+nIh44PFPN5O6p5A/XDmEhDi9KQ0hEcBI4GLgAuBBM+tT00Dn3LPOuVHOuVEJCQm+zCgidfT3L7fQJDKcGaf38DqKiDSyrq2b8sZt42gfH8MNs5fzZWq215FEjutkezC0c87tBqj+3raGMZ2AjCPuZ1Yfq5E+ORNpPIvT8nju23Qmj+3KuQPaeR1HfCsT+Ng5d8g5lwcsAoZ6nElETsK/Zi+cmqjZCyIhon18DK/fdip92sUx4+WVvLtml9eRRI6pMZs81jT/2tU2WJ+ciTSOvQdL+Nn8NfRo04zfXNzf6zjie+8Cp5tZhJk1BcYCKR5nEpGT8MQXVbMX1HtBJLS0ahbFP28dy8huLbln/hpeWbLd60gitTrZAkO2mXUAqP5eU9OwTODILnKdgayT/HkichKcc/zyzXUUFJXx9+tG0DRKe6UHGzObBywB+ppZpplNN7OZZjYTwDmXAnwMrAOWA88752rd0lJE/FPqngO8vy6LG8Zp9oJIKIqLieSlm8dwTr92PPhuMk98sQXnav3sVsQzJ/vXxnvADcDvq7+/W8OYFUBvM+sO7AImUdXNXER8ZM732/kyNYeHLh3AgI7NvY4jjcA5d10dxjwGPOaDOCLSSB7/dDOxURHcdoZ6L4iEqpjIcGZdP4L73lrHnz/bTP6hUv77kgGEhalxt/iP4xYYqj8dOwtoY2aZwP9QVVh43cymAzup3lfdzDpS9enYRc65cjO7C/gECAdmO+eSG+fXEJGjbdi1n/9bmMq5/dtyw7hEr+OIiMhJWptRwGcbs/n5eX1o0TTK6zgi4qGI8DD+dNVQWjSJYvbibRQUlfLY1UOJDG/Mle8idXfcAsMxPh07p4axWcBFR9xfCCw86XQiclIOFJdxx9xVtI6N4jFtSSkiEtD+9OkmWjWL4ubT1HtBRCAszHjwkv5V7/M+2UTB4TKenqKlsOIfVOoSCTLOOR54ax27Cg7z5OThtGymT7tERALVsvS9fLslj9vP7ElstP54EJEqZsadZ/fi9z8ezKLNuUx5fhn7DpV6HUtEBQaRYPPK0h0sXL+H+y7oy8hurbyOIyIiJ8k5x+8/TqV98ximntrN6zgi4ocmjenK01NGkpx1gKtmfc+ugsNeR5IQpwKDSBBZvXMfv/tgIz/q15ZbT1cjMBGRQPZJcjardxbws/N6ExMZ7nUcEfFTEwa15+Wbx5BzoIQrn/6ezdmFXkeSEKYCg0iQ2HuwhDvmrqJd8xj+fM1QdRQWEQlg5RWVPPZJKj0TmnHliM5exxERP3dKj9a8PvNUKp3jqn98z4rt+V5HkhClAoNIEKiodNwzfw17D5Xyjykj1WVcRCTAvbkyk625h7hvQj8i1B1eROqgf4fmvHX7ONrERTPl+WV8vGG315EkBOkVSyQI/PmzTXy7JY+HLxvI4M7xXscREZF6OFxawV8+38yIri04f0A7r+OISADp0qopb80cx8COzbl97ipeWbLd60gSYlRgEAlwH63fzVNfbeXaUV24dnQXr+OIiEg9Pf9tOtkHSvjVRf21zbCInLCWzaL45y2ncE6/tjz4bjJ/+DgV55zXsSREqMAgEsA2Zxdy7xtrGdalBQ9fPlBvREVEAlxOYTH/+GYrEwa2Z3SidgIKFGY2wcw2mVmamT1Qy5izzGyNmSWb2Te+ziihpUlUOLOuH8nksV35x9db+fnrayktr/Q6loQAbagsEqD2F5Vx2ysraRoVwazrRxIdoQ7jIiKB7i+fbaasopIHLuzndRSpIzMLB54CzgMygRVm9p5zbuMRY1oATwMTnHM7zaytN2kllESEh/HI5YPoGB/Dnz7dTPaBYmZNHUnzmEivo0kQ0wwGkQBUXlHJXfNWkbmviKenjKB9fIzXkUREpJ427Slk/ooMpp6SSGKbZl7HkbobA6Q559Kdc6XAa8DEo8ZMBhY453YCOOdyfJxRQpSZcdePevP41UNZvi2fq/+xhKyCw17HkiCmAoNIAHp0YSrfbsnjdxMHMaa7ptCKiAQ65xz/++FG4mIi+ek5vbyOIyemE5BxxP3M6mNH6gO0NLOvzWylmU3zWToR4MqRnXnp5jFkFRzmiqcXk5y13+tIEqRUYBAJMK+vyGD24m3cOC6RSWO6eh1HREQawJepOXy7JY+fntNbWw0HnpoaIB3dUS8CGAlcDFwAPGhmfWp8MrMZZpZkZkm5ubkNm1RC2vhebXjj9lMJM+OaWUv4epMm0kjDU4FBJIAsTd/Lr99Zz+m92/Cbi/t7HUdERBpASXkFv/tgI73axjLt1G5ex5ETlwkcuY1TZyCrhjEfO+cOOefygEXA0JqezDn3rHNulHNuVEJCQqMEltDVr31z3r5jPF1bN2P6S0nMXbbD60gSZFRgEAkQ6bkHue2VlXRr3YwnJ48gIlz/fEVEgsGcxdvZvreIBy8ZQKSu7YFoBdDbzLqbWRQwCXjvqDHvAqebWYSZNQXGAik+zikCQPv4GN6YeSqn927Dr9/ewP99lEJlpbaxlIahVzGRAFBQVMr0l5IIDzNm3zCa+Cbq/isiEgxyCov5+5dpnNu/LWf20afVgcg5Vw7cBXxCVdHgdedcspnNNLOZ1WNSgI+BdcBy4Hnn3AavMovERkfw/LRRXH9KV575Jp275q2iuKzC61gSBLRNpYifKy6r4NaXk9i17zBzbx1L19ZNvY4kIiIN5A8fbaKkvIJfXzzA6yhSD865hcDCo47NOur+Y8BjvswlciwR4WH8buIgurVqxqMfpZBVsJTnpo0iIS7a62gSwDSDQcSPVVY6fvHGWlZs38efrhnK6ETtGCEiEixWbM/nrVWZ3Hp6D7prW0oR8YCZcesZPZh1/Ug27Snk8qcWs2lPodexJICpwCDix/7wSSofrNvNAxf247KhHb2OIyIiDaS8opIH39lAx/gY7vqRtqUUEW9dMLA9r992KmUVlVz5j+/5SjtMyElSgUHET724eBvPfJPO9ad05bYzengdR0REGtArS3eQuqeQ/750AE2jtGJVRLw3uHM87941nq6tmjJ9zgrmLN7mdSQJQCowiPihD9Zl8fAHGzl/QDt+e9kgzGraYltERAJRTmExf/50M2f0SeCCge29jiMi8i8d4pvwxsxTOad/Ox56fyO/eWc9ZRWVXseSAKICg4if+T4tj5/PX8vobq144rrhhIepuCAiEkx+90EKJRWV/PaygSogi4jfaRYdwTPXj+S2M3vw6tKd3PjicvYXlXkdSwKECgwifmRdZgG3vpxEYpumPDdtFDGR4V5HEhGRBvT1phzeX5vFXWf3UmNHEfFbYWHGry7sz2NXDWH5tnyueHox6bkHvY4lAUAFBhE/sSW7kBtmL6dlsyhemT6W+KaRXkcSEZEGdLi0ggff3UCPhGbcdqZ664iI/7t6VBf+eespFBwu4/KnFvPtllyvI4mfU4FBxA9k5Bcx9YXlRISHMfeWsbRrHuN1JBERaWBPfLmFjPzDPHrFYKIjNENNRALD6MRWvHvneDq2aMKNL67gxcXbcM55HUv81EkXGMysr5mtOeLrgJndc9SYs8xs/xFj/rv+kUWCy579xUx5fhlFpeW8fPMYurXWlFmpOzObbWY5ZrbhOONGm1mFmV3lq2wi8v8lZ+3n2UXpXD2yM6f0aO11HBGRE9KlVVPeun0cP+rXlt++v5EH3lpPSXmF17HED510gcE5t8k5N8w5NwwYCRQBb9cw9NsfxjnnHj7ZnycSjPIOljDl+aXkHyrl5elj6d+hudeRJPDMASYca4CZhQN/AD7xRSAR+XflFZXc9+Y6WjaN4tcX9/c6jojISfmh+eNPftSL+UkZTH5uGbmFJV7HEj/TUEskzgG2Oud2NNDziQS9gqJSrn9+GbsKDjP7xtEM69LC60gSgJxzi4D84wz7CfAWkNP4iUTkaM99u43krAP8buJAWjSN8jqOiMhJCwsz7j2/L09OHk5y1n4ue/I71mUWeB1L/EhDFRgmAfNqOXeqma01s4/MbGAD/TyRgFZQVMqU55eRnneI56aNYkz3Vl5HkiBlZp2AK4BZXmcRCUXpuQf5y+ebmTCwPRcO7uB1HBGRBnHJkI68OXMcYWZcPWsJ76ze5XUk8RP1LjCYWRRwGfBGDadXAd2cc0OBvwPvHON5ZphZkpkl5eaqO6kEr/1FZUx9YTlbsg/y7NSRnN47wetIEtz+CtzvnDvuQkldh0UaVkWl45dvriMmIoyHJ+ozFhEJLoM6xfPeXeMZ2qUF98xfwyMfbqS8otLrWOKxhpjBcCGwyjmXffQJ59wB59zB6tsLgUgza1PTkzjnnnXOjXLOjUpI0B9cEpz2F5UxdfYyNu0p5JmpIzmrb1uvI0nwGwW8ZmbbgauAp83s8poG6jos0rBmf7eNlTv28dBlA2mr3YFEJAi1jo1m7i1jueHUbjz37TZueHE5+w6Veh1LPPT/2rvvuCrP+//jr4uNTGUJKAoCKm7FPaqJJsbEaJodm6aZNbNJ21+bjjSrTZtv2jTDLLPMXo3RmGj2cBv3xoWgoLJUpoDA9fsDmlqrEWXc5xzez8eDRzjn3HLeF5DPufmc+7qu5mgwXMlJpkcYYzoaY0zD50Manq+oGZ5TxO0cKq/myueXk7G/lGd+MpBxPdRckJZnrU201na11nYF/gXcYq096dVkItI8duaX8shn25iQFsNFA+KdjiMi0mJ8vb24f0pv/u+SvqzcfYjJMxazeV+x07HEIU1qMBhj2gETgNnH3DfdGDO94eYlwCZjzHrgCeAKq01TpQ0qLKviyueXs7OgjJk/HcTZPWOcjiQewhjzFrAM6G6MyTHGXH9cHRaRVlZTW8ev3ttAkJ83D13Uh4b3WkREPNpl6Z15d/pwamotFz+zVOsytFE+TfnH1toKIOK4+5495vMZwIymPIeIuztQXMm0F5bX7xZxzWBGpZxwlpDIGbHWXnkax/6sBaOISIOnv9nF+r2HefLKAUSF+DsdR0Sk1fTvHM6820dx6xtruPOddazPOczvJ/XE17u59hYQV6eftEgL2nuwgkufW0peSRWvXDtEzQUREQ+3bu9hHv9yB1P6xzG5X5zTcUREWl1UiD9v3DiUn43oystLspj2wgrySyudjiWtRA0GkRayI6+US59dRsmRGt64YShDkyJO/Y9ERMRtVVTXcNc764gJ8eeBKb2djiMi4hhfby/uu7AXj13enw05h5n85GJWZx9yOpa0AjUYRFrA2j2HuPS5ZdRayzs/H0a/zuFORxIRkRb2l4+3klVUzt8v60dYoK/TcUREHDd1QDwf3DKSAF9vrpi5jFeWZqEl+TybGgwizWzh9gKmvbCC0ABf3p8+gh4dQ52OJCIiLeyTTQd4Y8UebhydxIhumg4nIvJvPWND+fC2UfwoNYp7P9zMXe+so6K6xulY0kLUYBBpRnPW5nLdrJV0iQjiXzcPJyGindORRESkhe07fITfvr+BPvFh/Pqc7k7HERFxOWGBvsy8Op1fn5PKh+v3MfWpJewq6PZxdwAAIABJREFUKHM6lrQANRhEmoG1lme/3cWd76wjvWt73r5pGNEhAU7HEhGRFlZbZ7nz7XXU1NbxxJUD8PPRqZWIyIl4eRluOyuFV68bSmFZNRc+uZiPN+x3OpY0M70KijRRbZ3lvg8387cFGVzQN5ZXrhuiubciIm3EE1/u4Lusgzw4tTeJkUFOxxERcXmjUiL5+I5RpHYM4dY313Dfh5uprqlzOpY0EzUYRJqgvKqGm15dxSvLsrlhVCJPXDEAfx9vp2OJiEgrWLyjkCe+2sGPB8bz44GdnI4jIuI2YsMCeeem4Vw3MpFZS7O47Lll5B4+4nQsaQZqMIicobySSi6fuYyvt+Xz4JRe/PGCNLy8jNOxRESkFeSVVPKLt9eSEh3Mn6dqS0oRkdPl5+PFnyan8fS0gezML+P8JxbxVUae07GkidRgEDkDG3OKuXDGYjILynnhmnSuHt7V6UgiItJKamrruP3NtRw5WsvT0wbSzs/H6UgiIm5rUp9Y5t0+iriwQK6btYq/LcigplZTJtyVGgwip2nBxv1c+txSfLy8eP/mEZzVI8bpSCIi0ooe/iSD77IO8tBFfUiODnE6joiI20uMDGL2LSO4amgCz367iytmLmefpky4JTUYRBqprs7yz8+3c/Mba0iLDWXOrSPpGRvqdCwREWlF89bv4/lFu7lmeBemDoh3Oo6IiMcI8PXmoYv68PgV/dm6v4Tzn1jE1xn5TseS06QGg0gjlFXVMP311Tz+5Q4uGdSJN28cRlSIv9OxRESkFW07UMpv/rWB9C7t+cP5aU7HERHxSFP6xzPv9lF0DAvk2lkreWj+Vu0y4UbUYBA5hV0FZVz01BK+zMjn3slpPHJJXwJ8tVOEiEhbUlxxlJ+/torgAB+enjYQPx+dQsl/GGMmGmO2GWN2GmPuPsHjY40xxcaYdQ0ff3Iip4i7SIoK5oNbRnD1sC7MXJjJpc8tY+/BCqdjSSPo1VHkB3yy6QBTZiyhqLya164bwrUjEzFGO0WIiLQlNbV13PrmGnIPH+GZaQOJDg1wOpK4EGOMN/AUcB6QBlxpjDnRJS6LrLX9Gz4eaNWQIm4owNebB6f25plpA8ksKGPS44v4eMN+p2PJKajBIHICNbV1/G1BBtNfX0236GA+un0UI5IjnY4lIiIO+PPHW1m8s5C/TO1DetcOTscR1zME2GmtzbTWVgNvA1McziTiMc7rE8v8O0bTLTqYW99cw+9mb+BIda3TseQk1GAQOU5eSSVXPb+CZ7/dxVVDE3j358OICw90OpaIiDjg7e/2MGtpFteNTOSywZ2djiOuKR7Ye8ztnIb7jjfcGLPeGLPAGNOrdaKJeIbOHdrx3vThTP9RN976bi8XzlhMxoESp2PJCajBIHKMhdsLOP+JRWzMLeaxy/vz0EV98PfRegsiIm3Rkp2F/HHOJkanRPL7ST2cjiOu60RzJ+1xt9cAXay1/YAngTkn/WLG3GSMWWWMWVVQUNCMMUXcm6+3F3ef14PXrh/CoYqjXDhjCa8uy8La4/93EyepwSACHK2t4+FPMvjpS9/RIciPD28bqe3HRETasB15pUx/fTVJUUE8NW0gPt46ZZKTygGOvbylE7Dv2AOstSXW2rKGz+cDvsaYE869tNbOtNamW2vTo6KiWiqziNsanRLFJ3eOZkS3CP40dzM3vrqKg+XVTseSBnq1lDZv78EKLn9uGc98s4srh3Rm7q2jSIkJcTqWiIg4pLCsimtnrcTfx5sXrxlMaICv05HEta0EUowxicYYP+AK4MNjDzDGdDQNq0QbY4ZQfw5e1OpJRTxEZLA/L10zmD9dkMbC7YVMfGwhi3boih9X4ON0ABEnfbA2h3vmbMYYePLKAUzuF+d0JBERcVB5VQ3XzVpJYVkVb980nM4d2jkdSVyctbbGGHMb8CngDbxkrd1sjJne8PizwCXAzcaYGuAIcIXVdd0iTeLlZbhuVCLDkiK44+21XP3id9wwKpH/N7G7pjg7SA0GaZMOV1Rzz9zNzFu/j8Fd2/PPy/vTqb1OIkVE2rKjDdtRbsotZubV6fTvHO50JHETDdMe5h9337PHfD4DmNHauUTagrS4UObdNoqH5m/lhcW7WbKriMev6E+qrkh2hKZISJuzaEcBEx9bxIKN+/nVhFTeunGYmgsiIm2ctZbfz97IN9sK+MtFfRifFuN0JBERaaRAP28enNqbF69JJ7+kkslPLmbWkt1aANIBajBIm1FeVcMf52zk6he/IzjAhw9uGcntZ6do4S4RkTbOWstD87fy3uocfnF2ClcOSXA6koiInIGze8bwyZ1jGJkcyX3ztnDNyyvJK6l0Olab0qS/rIwxWcaYjcaYdcaYVSd43BhjnjDG7DTGbDDGDGzK84mcqaW7Cjn3sYW8sWIPN45O5KPbR9GnU5jTsURExAU8/c0unl+0m2uGd+HO8SlOxxERkSaICvHnxWvSeXBqb77bXcS5jy1k/sb9TsdqM5pjDYZx1trCkzx2HpDS8DEUeKbhvyKtoqTyKH+dn8Fb3+2ha0Q73vv5cNK7dnA6loiIuIjXlmXxyKfbmNo/jnsn96JhoX8REXFjxhiuHtaFEd0iuOudddzyxhp+PCCe+6b00s5ALaylF3mcArzasErucmNMuDEm1lqrFpK0uM+35HHPnE3kl1Zy05gk7hqfSqCfVpQVEZF676zcwz1zNzO+ZzSPXNoPLy81F0REPEm3qGDev3kET365g6e+2cXyzCL+flk/RnSLdDqax2rq5HMLfGaMWW2MuekEj8cDe4+5ndNwn0iLOVBcyfTXVnPjq6sIC/Tlg1tG8vtJPdVcEI9kjHnJGJNvjNl0ksenNUxR22CMWWqM6dfaGUVc0ew1Odw9eyNjUqN4atpAfLUej4iIR/L19uKX53TnX9OHE+DrzVXPr+D+eZupPFrrdDSP1NQrGEZaa/cZY6KBz40xGdbahcc8fqK3Ak64lGdDg+ImgIQELa4kp6+mto7Xlmfz6Gfbqa6t4zcTu3Pj6CSdNIqnm0X91mevnuTx3cCPrLWHjDHnATPRVDVp4+auy+XX761nWGIEM68epP3SRUTagAEJ7fn4jtE8/EkGLy/J4tvtBTx6WX9tSdzMmvSXl7V2X8N/84EPgCHHHZIDdD7mdidg30m+1kxrbbq1Nj0qKqopsaQNWrvnEFOeWsL987bQPyGcz+4awy1jk9VcEI/X0NQ9+AOPL7XWHmq4uZz6OizSZn2wNoe73llHetcOvPizdAJ81VwQEWkrAv28ue/CXrxxw1Aqq2u5+Jml/P3TbVTX1DkdzWOc8V9fxpggY0zIvz8HzgGOv0T3Q+CnDbtJDAOKtf6CNKeC0ir+33vruejppRSVVfP0tIG8et0QukQEOR1NxBVdDyxwOoSIU95btZdfvrueYUkRzLp2MO38WnopKhERcUUjkyP55K4xXDQgnhlf7+TCGYvZvK/Y6VgeoSmvrDHABw2rLfsAb1prPzHGTAew1j4LzAcmATuBCuDapsUVqVddU8ery7J4/IsdVNbU8vMfJXH7WSkE++tkUeREjDHjqG8wjPqBYzRVTTzWa8uyuGfuZkanRDLz6nStyyMi0saFBvjy90v7MbFXR373wUamzFjCbWclc+s4XQXdFGf815i1NhP4n8XCGhoL//7cAree6XOIHM9ay1cZ+fzl461kFpYzJjWKeyen0S0q2OloIi7LGNMXeAE4z1pbdLLjrLUzqV+jgfT09BOulyPijp76eiePfLqN8T2jmXHVQE2LEBGR741Pi2FQl/bcN28zj32xg8+35PHIJf1Iiwt1OppbUmtG3Mam3GJ+8uIKrn9lFRh4+WeDeeXawWouiPwAY0wCMBu42lq73ek8Iq3JWstfF2zlkU+3MaV/HM/8ZJCaCyIi8j/aB/nx+BUDePYng8grqeTCGYt5/IsdHK3V2gynS9eTi8vLOVTBo59t54N1uYQH+nLv5DR+MqyLLl0SAYwxbwFjgUhjTA5wL+AL319R9icgAni6YUpbjbU23Zm0Iq3naG0dv31/A7PX5DJtaAIPTumNl9eJNrcSERGpN7F3R4YkduD+eZv55xfb+WTzAR65pC+948OcjuY21GAQl3WwvJoZX+3k9eXZYOCmMUncMjaZsEBfp6OJuAxr7ZWnePwG4IZWiiPiEsqrarjljTV8u72AX05I5fazkmlosImIiPygDg1XM0zqE8sf52xi6lNLuHlsN247K1nbGjeCGgzickoqj/LCwkxeXLybI0druWRQJ+4cn0pceKDT0URExMXllVRy3ayVbN1fwl9/3Icrh2jBUhEROX3n9urI0MQOPPjRVp78aiefbDrAw5f0ZWBCe6ejuTQ1GMRllFXV8MrSLGYuzKT4yFEm9enIXeNTSYkJcTqaiIi4gS37Srj+lZUUHznKC9ekc1aPGKcjiYiIGwtv58c/LuvHBf1i+cPsjVz8zFKuG5nIr85J1VbHJ6HvijiutPIory7L5vlFmRyuOMpZPaL55YRUzXUSEZFG+3xLHne+vZaQAF/emz6cXnF6DRERkeYxrns0n941hoc/yeDFxbv5bMsB/npRX0alRDodzeWowSCOOVxRzaylWby8JIviI0cZ1z2KO8en0q9zuNPRRETETVhreerrnfzj8+30jgvj+Z+m0zEswOlYIiLiYUICfPnz1D5M7hvH72Zv5CcvruCSQZ34w6SetA/yczqey1CDQVpdXkklLyzK5M0VeyivruWctBhuOyuZvp3UWBARkcYrr6rhN+9v4OMN+5nSP46HL+6rbShFRKRFDU2KYP4vRvPElzuYuTCTrzPyuffCXkzuG6sFhVGDQVrRjrxSnl+UyZy1+6ipq2Nyvzim/6gbPWNDnY4mIiJuZldBGdNfW82ugjLuPq8HPx+TpBM7ERFpFQG+3vxmYg8m94vj7vc3cMdba/lgTQ4PTu1Np/btnI7nKDUYpEVZa1m6q4gXF+/mq4x8Any9uHxwZ24cnURCRNv+n09ERM7Mxxv289v3N+Dn48Vr1w9lZLLmwIqISOvrGRvK7FtG8srSLP7+2TYmPLqQX52Tys9GdMXH28vpeI5Qg0FaROXRWj5ct4+Xluwm40ApEUF+3Dk+hZ8O70oHzVESEZEzUHm0lj9/vIXXl++hf+dwnp42UFsYi4iIo7y9DNeNSuTc3h25Z84m/vzxVuasy+Whi/q0ySngajBIs8o5VMEbK/bw9nd7OFRxlO4xIfzfxX25sH+c5sWKiMgZ25FXyu1vrSXjQCk/H5PEr8/tjm8bfXdIRERcT3x4IC9ek878jQe4f95mpj61hJ8O78qvzkklJMDX6XitRg0GabLaOsvC7QW8vjybr7flAzAhLYZrRnRleFKE5sSKiMgZs9by6rJsHpq/lSB/H176WTpn9YhxOpaIiMj/MMZwft9YRqdG8sgn23hlWRYLNu3nvsm9mNi7Y5v4u0gNBjljB4oreW/VXt5euZfcw0eIDPbnlrHJXDk0gXhdsioiIk10oLiSu2dv4JttBYzrHsXDl/QlOkRbUIqIiGsLDfDlwam9uXhQJ34/eyM3v7GGcd2juP/C3h6/Dp0aDHJaqmvq+Cojj3dX5fDNtnzqLIxKjuR3k3pwTlpH/Hx0uapIW3SkupaZCzOZNiyByGB/p+OIm7PW8v6aXO6ft5maWssDU3px9bAubeKdHxER8Rz9O4fz4W0jeWVZNo9+to0J//yW28Ylc9OPkvD38czp42owyClZa9m8r4R/rc7hw/X7OFheTUyoPzeP7cZl6Z3pEhHkdEQRcdiyzEIe+3I7T32zk4sHduLG0YkkRQU7HUvc0N6DFdwzdxPfbCtgSNcOPHJpX73OiIiI2/Lx9uL6UYmc3yeWBz/awj8+384Ha3N5YEpvRqV43i5IajDISeUePsLcdbl8sCaXHfll+Hl7MSEthosHxTMmJarNbr0iIv/rrB4xfPHLH/HCot28vyaHt1fu4ewe0Vw/KolhSR30zrOcUk1tHbOWZvGPz7ZjDNw7OY1rhnfFy0u/OyIi4v46hgXw1LSBXLa9gHvnbuInL67g/L6x3HN+Gh3DPGf6nxoM8l8Ky6pYsHE/c9ftY1X2IQDSu7Tnwam9mdw3lvB22mJSRE6sW1Qwf/1xH345IZXXlmfz+vJsvnh+OT1jQ7l2RFftJiMntTLrIPfM2UTGgVLO7hHNA1N7ay0fERHxSD9KjeKTO8fw3LeZPP3NTr7OyOcXZ6dw7chEj5hubqy1Tmf4H+np6XbVqlVOx2gzCsuq+GxzHh9t2MfyzCLqLKTGBHNhvzgu7Bfv8QuRiDSWMWa1tTbd6RytoTnqcOXRWuaszeXlJVlsyyulQ5Aflw/uzLShCXRqr7oi9Ys4/t8nGcxem0tcWAB/mpzGub3axirbcmbaUh0GnROLeLo9RRU88NFmvtiaT3J0MPdf2IuRya4/beKHarGuYGij9h0+wudb8liwaT/f7T5InYWkyCBuHZfM+X1j6dEx1OmIIuLmAny9uWJIApcP7syyXUW8vDSL577dxXPf7uLsnjFMG5rAmJQoXQLfBv17UdBnv91FbZ3l5rHduP2sZNr56bRE3JMxZiLwOOANvGCt/dtJjhsMLAcut9b+qxUjiogLSohoxwvXDObLrXncP28L015YwaQ+HfnD+WlueyWfXsnbCGstGQdK+WJLHp9tyWNjbjEAydHB3DYumYm9Y+kZG6J3jUSk2RljGJEcyYjkSHIPH+GN5dm8u2ovn2/Jo3OHQK4YnMClgzoRHeo58w/lxGpq63h3VQ6Pf7mdvJIqJvXpyN0Te+pKOXFrxhhv4ClgApADrDTGfGit3XKC4x4GPm39lCLiys7uGcPI5EhmLszkqa938lVGPreOTebGMUluN71UDQYPVnm0lqW7Cvk6o4CvMvLJPXwEY6Bfp3B+O7EHE9JiSI7WKu8i0nriwwP5zcQe3Dk+lc+2HOD15dk88uk2Hv18O+O6R3NZeifG9YjGV4vIepTaOstHG/bx+Bc7yCwsZ2BCOE9eOZAhiR2cjibSHIYAO621mQDGmLeBKcCW4467HXgfGNy68UTEHQT4enPH2Sn8eGA8f/l4K//4fDvvrt7LH89P45y0GLd5I1gNBg9irWVXQTkLtxfwzfYCVmQWUVVTR6CvNyOTI7nj7GTG9YgmOkTvEoqIs/x8vLigbxwX9I1jd2E576zcy79W5/DF1jwig/2Y2j+eiwd1omespmu5s9o6y/yN+3niyx3syC8jNSaYmVcPYoIbnSiJNEI8sPeY2znA0GMPMMbEAxcBZ6EGg4j8gE7t2/HMTwaxZGch98/bzM9fW83olEj+dEEaKTEhTsc7JTUY3FxhWRVLdxWxdGchi3YUknv4CABJUUFMG9qFsd2jGJrUAX8f97q0RkTajsTIIO4+rwe/OieVb7cV8N7qvcxamsULi3fTMzaUiwbEMblfHLFh7jkXsS2qrqnjg7U5PPttJrsLy0mJDmbGVQOY1DtWa26IJzrRL/Xxq6g/BvzWWlt7quaaMeYm4CaAhISEZgkoIu5nZHIk8+8YzevLs3n08+1MfHwRVw/rwp3jU1x6Zz/tIuFmDldUs2L3QZbtKmJ5ZhEZB0oBCAnwYVRyJKNSIhmTEkXnDprPKtLc2tLq5U7X4YPl1Xy0YR/vr8ll/d7DGANDunZgcr84zuvdkYhgf8eyyckdKq/mjRXZvLosm/zSKnrHh3LL2GTO7dURbzUWpBm4Yh02xgwH7rPWnttw+3cA1tq/HnPMbv7TiIgEKoCbrLVzfuhrO12LRcQ1HCyv5tHPt/Hmij2EBvryywmpXDUkAR+HppT+UC0+4waDMaYz8CrQEagDZlprHz/umLHAXGB3w12zrbUPnOprq5j+R35JJSuzDrEy6yDLM4vYlleKteDv40V61/aM6BbJyORI+sSH6eRNpIW54oltS3GlOpxVWM7cdfuYuz6XzIJyvAwM7xbBeb1jOadXjKZ9uYBNucW8tiybuetzqTxax5jUKG4YlcjolEhNhZBm5Yp12BjjA2wHzgZygZXAVdbazSc5fhbwUWN2kXClWiwiztu6v4QH5m1hWWYRKdHB3HNBGmNSo1o9R0ttU1kD/Mpau8YYEwKsNsZ8fvyKucAia+0FTXieNqO2zrI9r5TV2YdYk32I1XsOkV1UAUCArxeDurTnrj6pDE3sQP+EcE17EJE2oWtkEL8Yn8IdZyeTcaCUjzfs5+ON+/njnE3cM3cT6V3aMyEthglpHUmMDHI6bptRWnmUjzbs5+2Ve1m/9zCBvt5cNCCea0cmkuoGc0RFmou1tsYYcxv1u0N4Ay9ZazcbY6Y3PP6sowFFxGP0jA3lzRuH8tmWPB6av5WfvvQd47pH8Yfze5Ic7Rqvvc02RcIYMxeYYa39/Jj7xgK/Pt0GQ1vo1lprOVBSyfq9xazPOcy6PYfZkHOY8upaACKD/RiY0J4hiR1I79qBXnGhWlVdxGGu+M5ZS3H1OmytZXteGQs27eezzXls2V8CQLeoIM7uGcO47tGkd22vutnMamrrWLqriDlrc1mw6QBHjtaSEh3MVUMT+PHAToQF+jodUTxcW6rD4Pq1WEScU1VTyytLs3jyy51UHK1l2tAE7hyfSoegll+foaWuYDj2CboCA4AVJ3h4uDFmPbCP+mbDCS8X82TWWvJKqtiUW8ymfcVszClmQ24xBaVVAPh6G3p0DOWSQZ0YkNCeAQnhJHRop8tKRUROwhhD944hdO8Ywp3jU9l7sIIvtubxVUY+Ly/ZzcyFmQT7+zCiWwSjU6MYnRxJlwjV1TNRW2dZlXWQ+Rv3M3/TAQpKqwgJ8GHqgDguS+9M/87h+r6KiIi0Mn8fb24a042LB3bin19s540Ve/hgbS63jUvmZyO7Ona1e5OvYDDGBAPfAn+x1s4+7rFQoM5aW2aMmQQ8bq1NOcnXOXbF3EHZ2dlNyuWU6po6dhWUkXGghK37S9m6v4Qt+0ooKq8GwMtAt6hg+nQKo298GP06h9MzNpQAX013EHF1rvjOmTHmJeACIN9a2/sEjxvgcWAS9YuK/cxau+ZUX9ed3zUrq6ph8Y5CFu4o4NttBd/vrhMfHsiIbhEMS4pgWLcI4sO1K8XJHKmuZfHOQr7cmscXW/MpLKvC38eLcd2jmTogjrHdo/W6JY5wxTrckty5FotI69qRV8pfF2TwVUY+ndoH8puJPZjcN7ZF3gRokUUeG76wL/AR8Km19tFGHJ8FpFtrC3/oOHcopjW1dWQfrGBHXik78srYnl/GtgMlZBaUU1NX/z318/Gie0wIabGhpMWF0js+lJ6xobTz0+6gIu7IFU9sjTFjgDLg1ZM0GCYBt1PfYBhKfaN36PHHHc8d6nBjWGvJKqpg8c5CFu8oYMXugxyuOArUNxzSu7YnvUt7BiS0p0fHEMdWY3ZaXZ1l64ESluwsZOH2Qr7LOkh1TR0h/j6M6R7FxF4dOatHNEH+ev0SZ7liHW5JnlKLRaT1LN5RyF/mb2Xr/hL6dw7n95N6MiSxQ7M+R4tMkWh4V+xFYOvJmgvGmI5AnrXWGmOGAF5A0Zk+pxOKK46SWVjG7sJydhWUkVlQzs78MrKKyjla+5/mTHx4ID06hjC+ZwzdO9Y3FRIjg9rsyaqItA5r7cKGaWonM4X65oMFlhtjwo0xsdba/a0S0GHGGBIjg0iMDOLqYV2oq7NsyytleWYRq7IPsWxXEXPX7QMg0NebPvFh9OkURp/4MHrHh5IYGeyRO/RU1dSyKbeE1dkHWZV1iBW7D1J8pL7xkhIdzNXDujC2exRDEyPw89HrmIiIiLsYlRLJR7eP4oO1ufz9021c9twyJqTF8NuJPUiODm7x52/KWxEjgauBjcaYdQ33/R5IgO9XzL0EuNkYUwMcAa6wzbWqZDOx1lJQWsXeQxXsOVhBdlH9R1ZROdlFFRxsmNoA4O1lSOjQjm5RwZzdM4bk6GBSY4LpFhWsd3VExFXFA3uPuZ3TcF+baDAcz8vL0DO2/mqya0cmYq0l59AR1u49zJrsQ2zIOczry7OpqqkD6nfw6R5Tv9ZDakwIKTEhJEUGER8eiJebNB5KK4+yPa+UrftL2byvhI25h9l2oPT7JnmXiHac2yuGYUkRDO8WQWyYpo6IiIi4M28vwyWDOnF+n1heWrKbZ77ZxbmPLeSy9M7cNT6F6NCW2+L7jP8qttYuBn7w7MpaOwOYcabP0RxqauvIL61i3+Ej5B4+wr7DleQeriDn0BFyDh1h78GK708kAYyBuLDAhhOujiQ1vPPVNTKIhA7t9E6OiLibE9XpEzZ6j1sLpyUzuQxjDJ07tKNzh3Zc2C8OqH/d2JFfxpZ9JWzZX8LW/SV8lVHAu6tyvv93/j5edIloR5eI+teG+PBA4tsHEh8eSHSoP5FB/q3WgLDWcqji6Pevc3sP1jfMMwvqr7zbX1z5/bEhAT707RTG9aOS6N85jIFd2hMd0nInGSIiIuKcQD9vbh2XzBWDO/PkVzt5fXk2c9bmcsPoRG4ak0RIQPPv/uQRb7uv2XOI7KJyDhRXkVdSSV5JJfuLKzlQXEl+aSV1x51Kh7fzpVP7QLpFBTE2NYrOHdqR0KEdCRH1J4lauEpEPEgO0PmY252o39Xnf1hrZwIzoX7eb8tHc00+3l7fX+Vw8TH3F5VVsavhj/Zd+WVkH6wgu6icRTsKqDxa999fw8vQIciPiGB/IoL8CGvnS3igLyEBvgT7e9POz4dAP2/8vL3w8/HC28vgZQxeBupsfdOguraO6po6qmrqqKiuoayqlrLKGg4fqaa44iiF5dUUllZRWFb1X41yqG8kJEUGMTwpgm7RwXSPCaFHbAjx4YHa8UFERKSNiQj2574Le3HtyK488uk2nvxqJ2+s2MNt45KZNiyhWXec8IgGw8MLMlix+yAAwf4+xIQGaIw7AAAHpElEQVT6ExsWyMjkSOLCA4gNCyQ2PIBO4YHEhgcSrOkMItJ2fAjcZox5m/pFHovbyvoLzS0i2J+IYP//WSjJWsvB8mpyDh1hf0Nj+0BxJUVl1RSVV1FUXs2+4iMUVxyltLKG6tq6kzzDqQX7+xAW6EtYoC8RwX50iwwiMsSfjqEBxIUHEBceSEKHdoS3a/k9sEVERMS9dIkIYsZVA7lpzGH+tiCDBz7aQkSwH1P6xzfbc3jEX9p/ntobby9DdGiAmgci0qYYY94CxgKRxpgc4F7AF75fC2c+9TtI7KR+m8prnUnquYwx3zcf+nU+9fHVNXWUV9VQVVNHVU0t1TV11FpLbZ3FWvAyBmPqdyLy8/bC39eLID8fAn293WbdBxEREXFdfTuF88YNQ1mx+yCDuzbvDhMe8dd4SkyI0xFERBxhrb3yFI9b4NZWiiON4OfjhZ+PrjAQERER5xhjGJYU0exfVysWioiIiIiIiEiTqcEgIiIiIiIiIk2mBoOIiIiIiIiINJkaDCIiIiIiIiLSZGowiIiIiIiIiEiTqcEgIiIiIiIiIk2mBoOIiIiIiIiINJkaDCIiIiIiIiLSZGowiIiIiIiIiEiTqcEgIiIiIiIiIk1mrLVOZ/gfxpgCIPs0/1kkUNgCcZzmiePyxDGBxuVuzmRcXay1US0RxtWoDv8Xjcu9eOK4PHFMoDp8SqrF/8UTx+WJYwKNy900ay12yQbDmTDGrLLWpjudo7l54rg8cUygcbkbTx2Xkzz1e6pxuRdPHJcnjgk8d1xO89TvqyeOyxPHBBqXu2nucWmKhIiIiIiIiIg0mRoMIiIiIiIiItJkntRgmOl0gBbiiePyxDGBxuVuPHVcTvLU76nG5V48cVyeOCbw3HE5zVO/r544Lk8cE2hc7qZZx+UxazCIiIiIiIiIiHM86QoGEREREREREXGI2zUYjDETjTHbjDE7jTF3n+BxY4x5ouHxDcaYgU7kPB2NGNO0hrFsMMYsNcb0cyLn6TrVuI45brAxptYYc0lr5jtTjRmXMWasMWadMWazMebb1s54uhrxOxhmjJlnjFnfMKZrnch5uowxLxlj8o0xm07yuNvVC1fgiXUYVIvdqRZ7Yh0Gz6zFqsMtxxNrseqw+9Rh8Mxa7Il1GFq5Fltr3eYD8AZ2AUmAH7AeSDvumEnAAsAAw4AVTuduhjGNANo3fH6eq4+pseM65rivgPnAJU7nbqafVziwBUhouB3tdO5mGNPvgYcbPo8CDgJ+TmdvxNjGAAOBTSd53K3qhSt8eGIdPo1xqRa7wIcn1uHTGJfb1WLVYUd/X9zqe6s67D51+DR+Xm5Viz21DjdkbbVa7G5XMAwBdlprM6211cDbwJTjjpkCvGrrLQfCjTGxrR30NJxyTNbapdbaQw03lwOdWjnjmWjMzwrgduB9IL81wzVBY8Z1FTDbWrsHwFrr6mNrzJgsEGKMMUAw9cW0pnVjnj5r7ULqs56Mu9ULV+CJdRhUi92pFntiHQYPrcWqwy3GE2ux6rD71GHwzFrskXUYWrcWu1uDIR7Ye8ztnIb7TvcYV3K6ea+nvrvk6k45LmNMPHAR8Gwr5mqqxvy8UoH2xphvjDGrjTE/bbV0Z6YxY5oB9AT2ARuBX1hr61onXotyt3rhCjyxDoNqsTvVYk+sw9B2a7E71gtX4Im1WHXYfeoweGYtbqt1GJqxXvg0S5zWY05w3/HbYDTmGFfS6LzGmHHUF9NRLZqoeTRmXI8Bv7XW1tY3Ad1CY8blAwwCzgYCgWXGmOXW2u0tHe4MNWZM5wLrgLOAbsDnxphF1tqSlg7XwtytXrgCT6zDoFrsTrXYE+swtN1a7I71whV4Yi1WHXafOgyeWYvbah2GZqwX7tZgyAE6H3O7E/Xdo9M9xpU0Kq8xpi/wAnCetbaolbI1RWPGlQ683VBII4FJxpgaa+2c1ol4Rhr7O1horS0Hyo0xC4F+gKsW08aM6Vrgb7Z+ktZOY8xuoAfwXetEbDHuVi9cgSfWYVAtdqda7Il1GNpuLXbHeuEKPLEWqw67Tx0Gz6zFbbUOQ3PWizNdvMGJD+obIplAIv9ZeKPXccecz38vUPGd07mbYUwJwE5ghNN5m3Ncxx0/C/dY0KYxP6+ewJcNx7YDNgG9nc7exDE9A9zX8HkMkAtEOp29kePryskXtHGreuEKH55Yh09jXKrFLvDhiXX4NMbllrVYddix3xe3+t6qDn9/vMvX4dP4eblVLfbkOtyQt1VqsVtdwWCtrTHG3AZ8Sv0qny9ZazcbY6Y3PP4s9SuvTqK++FRQ32VyWY0c05+ACODphs5mjbU23anMjdHIcbmdxozLWrvVGPMJsAGoA16w1p5wSxhX0Mif1YPALGPMRuoLz2+ttYWOhW4kY8xbwFgg0hiTA9wL+IJ71gtX4Il1GFSL3Ykn1mHw3FqsOtwyPLEWqw67F0+sxZ5ah6F1a7Fp6FiIiIiIiIiIiJwxd9tFQkRERERERERckBoMIiIiIiIiItJkajCIiIiIiIiISJOpwSAiIiIiIiIiTaYGg4iIiIiIiIg0mRoMIiIiIiIiItJkajCIiIiIiIiISJOpwSAiIiIiIiIiTfb/Aa5OHoAtCKC1AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from matplotlib.pylab import *\n", "\n", "func = sym.lambdify((t,epsilon),solp.rhs,'numpy')\n", "\n", "tt=linspace(0,1,101)\n", "figure(figsize=(18,5))\n", "EPSILON=[1,1.e-1,0]\n", "for i,epsi in enumerate(EPSILON):\n", " subplot(1,3,i+1)\n", " plot(tt,func(tt,epsi))\n", " title(\"$\\epsilon=$\"+str(epsi));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction : solution approchée (avec RK41 et EE)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%reset -f\n", "%matplotlib inline\n", "\n", "from matplotlib.pylab import *\n", "\n", "phi = lambda t,y : 3*y-4*exp(-t)\n", "sol_exacte = lambda t,y0 : (y0-1)*exp(3*t)+exp(-t)\n", "\n", "def EE(phi,tt,y0):\n", " h = tt[1]-tt[0]\n", " uu = [y0]\n", " for i in range(N):\n", " uu.append( uu[i] + h*phi(tt[i],uu[i]) )\n", " return uu\n", "\n", "def RK4(phi,tt,y0):\n", " h = tt[1]-tt[0]\n", " uu = [y0]\n", " for i in range(N):\n", " k1 = phi( tt[i], uu[i] )\n", " k2 = phi( tt[i]+h/2 , uu[i]+h*k1/2 )\n", " k3 = phi( tt[i]+h/2 , uu[i]+h*k2/2 )\n", " k4 = phi( tt[i+1] , uu[i]+h*k3 )\n", " uu.append( uu[i] + (k1+2*k2+2*k3+k4)*h/6 )\n", " return uu\n", " \n", "# INITIALISATION\n", "t0 = 0\n", "tfinal = 1\n", "\n", "# DISCRETISATION\n", "N = 10\n", "h = (tfinal-t0)/N\n", "tt = [ t0+i*h for i in range(N+1) ]\n", "\n", "\n", "EPSILON=[1,1.e-1,0]\n", "\n", "figure(figsize=(18,5))\n", "\n", "for i,epsilon in enumerate(EPSILON):\n", " y0 = 1+epsilon\n", " yy = [sol_exacte(t,y0) for t in tt]\n", " uu_RK4 = RK4(phi,tt,y0)\n", " uu_EE = EE(phi,tt,y0)\n", " subplot(1,3,i+1)\n", " plot(tt,yy,'b-',tt,uu_RK4,'y:D',tt,uu_EE,'m:o')\n", " legend(['Exacte','RK4','EE']);\n", " title(\"$\\epsilon=$\"+str(epsilon))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercice : Étude théorique et numérique du mouvement d'un pendule\n", "\n", "Considérons le problème du mouvement d'un pendule de masse $m$ suspendu au point $O$ par un fil non pesant de longueur $\\ell$. \n", "On se propose d'étudier l'évolution au cours du temps $t\\ge0$ de l'angle $\\vartheta(t)$ autour du point $0$. \n", "L'angle $\\vartheta(t)$ est mesuré par rapport à une verticale passante par $0$. \n", "Considérons pour simplifier seulement la force de gravité $g$. \n", "\n", "\n", "\n", "La fonction $\\vartheta$ est alors solution de l'EDO d'ordre 2 \n", "$$\n", "\\vartheta''(t)=-\\frac{g}{\\ell}\\sin(\\vartheta(t)).\n", "$$\n", "Si on introduit le paramètre $\\omega$ tel que $\\omega^2=\\dfrac{g}{\\ell}$, l'équation devient\n", "$$\n", "\t \\vartheta''(t)+\\omega^2\\sin(\\vartheta(t))=0.\n", "$$\n", "Pour simplicité on pose $\\omega=1$ et on note $q=\\vartheta$ et $p=\\vartheta'$. \n", "On peut alors transformer l'EDO d'ordre 2 en un système de deux EDO d'ordre 1:\n", "$$\n", "\t \\begin{cases}\n", "\t q'(t)=p(t),\\\\\n", "\t p'(t)=-\\sin(q(t)).\n", "\t \\end{cases}\n", "$$\n", "Considérons l'énergie totale du système:\n", "$$\n", "\t E(q,p)=\\underbrace{-\\cos(q)}_{\\text{Énergie potentielle}}+\\underbrace{\\frac{1}{2}p^2}_{\\text{Énergie cinétique}}.\n", "$$\n", "\n", "1. **Étude théorique**\n", " + Montre analytiquement que l'énergie totale reste constante au cours du temps, i.e. que $\\frac{\\mathrm{d}}{\\mathrm{d}t}E(q(t),p(t))=0$.\n", " + Tracer avec Python les courbes de niveau de la fonction $(q,p)\\mapsto E(q,p)$, i.e. les ensembles \n", "\t$$\n", "\t\\mathcal{N}_\\kappa\n", "\t=\\{(q,p)\\ |\\ E(q,p)=\\kappa\\} \n", "\t=\\{(q,p)\\ |\\ p^2=2(\\kappa+\\cos(q))\\}.\n", "\t$$\n", "\tpour $(q,p)\\in[-\\pi;\\pi]\\times\\mathbb{R}$.\n", " + Lorsque $\\vartheta$ est petit on peut considérer l'approximation $\\sin(\\vartheta)\\simeq\\vartheta$. Calculer la solution exacte de cette équation approchée.\n", "\n", "1. **Étude numérique** \n", " Dans une simulation numérique on aimerait que la propriété de conservation de l'énergie soit préservée aussi bien que possible. Nous allons regarder ce qui se passe avec certaines méthodes vues en cours. \n", " \n", "\tOn notera $x_n\\approx q(t_n)=\\vartheta(t_n)$ et $y_n\\approx p(t_n)=\\vartheta'(t_n)$. \n", "\tÀ chaque instant $t_n$, on calculera les valeurs approchées de l'énergie cinétique $E_c(t_n)=\\frac{1}{2}y_n^2$, de l'énergie potentielle $E_p(t_n)=-\\cos(x_n)$ et de l'énergie totale $E(t_n)=E_c(t_n)+E_p(t_n)$. \n", "\tChoisissons $h=t_{n+1}-t_n=0.1$ et $(x_0,y_0)=(\\pi/4,0)$. \n", " 1. Dans un premier temps on se propose d'appliquer la méthode d'**Euler explicite** à la résolution du système. \n", "\t\t+ Tracer $(t_n,x_n)$ et $(t_n,y_n)$ sur un même graphique;\n", " + sur un autre graphique représenter les trois énergies simultanément en fonction du temps;\n", " + tracer enfin $(x_n,y_n)$ sur un autre graphique et vérifier que la solution numérique tourne vers l’extérieur (i.e. l'énergie augmente au cours du temps).\n", " 1. Considérons le schéma obtenu en écrivant le schéma d'**Euler explicite** pour la première équation et le schéma d'**Euler implicite** pour la seconde.\n", " + Montrer que ce schéma peut s'écrire sous forme parfaitement explicite;\n", " + tracer $(t_n,x_n)$ et $(t_n,y_n)$ sur un même graphique;\n", " + sur un autre graphique représenter les trois énergies simultanément en fonction du temps;\n", " + tracer enfin $(x_n,y_n)$ sur un autre graphique. Que peut-on constater? Commenter les résultats.\n", " 1. On se propose d'appliquer les méthodes d'**Euler modifiée, de Heun, AB2, AB3 et RK4** à la résolution du système. Pour chaque méthode:\n", "\t\t+ Tracer $(t_n,x_n)$ et $(t_n,y_n)$ sur un même graphique;\n", " + sur un autre graphique représenter les trois énergies simultanément en fonction du temps;\n", " + tracer enfin $(x_n,y_n)$ sur un autre graphique. Que peut-on constater? Commenter les résultats.\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction étude théorique\n", "\n", "Il s'agit d'un système de deux EDO scalaires d'ordre 1 du type\n", "$$\n", "\\begin{cases}\n", "q'(t)=\\varphi_1(t,q(t),p(t)),\\\\\n", "p'(t)=\\varphi_2(t,q(t),p(t)),\n", "\\end{cases}\n", "\\qquad\\text{avec}\\qquad\n", "\\begin{cases}\n", "\\varphi_1(t,q(t),p(t))=p(t),\\\\\n", "\\varphi_2(t,q(t),p(t))=-\\sin(q(t)).\n", "\\end{cases}\n", "$$\n", "\n", "+ L'énergie totale reste constante au cours du temps:\n", "\t\\begin{align*}\n", "\t\\frac{\\mathrm{d}}{\\mathrm{d}t}E(q(t),p(t))\n", "\t&=\n", "\t\\sin(q(t))q'(t)+p(t)p'(t)\n", "\t=\n", "\t\\sin(q(t))p(t)+p(t)p'(t)\n", "\t\\\\\n", "\t&=\n", "\tp(t)\\left( \\sin(q(t))+p'(t) \\right)\n", "\t=\n", "\tp(t)\\left( \\sin(q(t))-\\sin(q(t)) \\right)=0.\n", "\t\\end{align*}\t \n", " \n", "+ Courbes de niveau de la fonction $(q,p)\\mapsto E(q,p)$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.pylab import *\n", "\n", "Etot = lambda q,p : -cos(q)+p**2/2\n", "\n", "q,p = meshgrid(linspace(-8*pi,8*pi,201),linspace(-3,3,201))\n", "E = Etot(q,p)\n", "\n", "figure(1,figsize=(20,5))\n", "graphe=contour(q,p,E,20)\n", "clabel(graphe,inline=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "+ $\\vartheta''(t)+\\omega^2\\vartheta(t)=0$ est une EDO d'ordre 2 homogène à coefficients constants dont la solution est $\\vartheta(t)=\\vartheta(0)\\cos(\\omega t)+\\frac{\\vartheta'(0)}{\\omega}\\sin(\\omega t)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correction étude numérique" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "t0 = 0\n", "tfinal = 8*pi\n", "y0 = [pi/4,0]\n", "\n", "N = 100 \n", "tt = linspace(t0,tfinal,N+1)\n", "#h = tt[1]-tt[0]\n", " \n", "phi1 = lambda t,q,p : p\n", "phi2 = lambda t,q,p : -sin(q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthode d'Euler explicite\n", "$$\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "x_{n+1}=x_n+h\\varphi_1(t_n,x_n,y_n),\\\\\n", "y_{n+1}=y_n+h\\varphi_2(t_n,x_n,y_n).\n", "\\end{cases}$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Euler explicite : |energie totale (t=Tfinal) - Energie totale (t=0)|= 3.1764943624320936\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def euler_progressif(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tfor i in range(len(tt)-1):\n", "\t\tq.append(q[i]+h*phi1(tt[i],q[i],p[i]))\n", "\t\tp.append(p[i]+h*phi2(tt[i],q[i],p[i]))\n", "\treturn [q,p]\n", "[q_ep, p_ep] = euler_progressif(phi1,phi2,tt,y0)\n", "Ec_ep = [p**2/2 for p in p_ep]\n", "Ep_ep = [-math.cos(q) for q in q_ep]\n", "Et_ep = [Ec_ep[i]+Ep_ep[i] for i in range(len(Ec_ep))]\n", "print ('Euler explicite : |energie totale (t=Tfinal) - Energie totale (t=0)|=', abs(Et_ep[-1]-Et_ep[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_ep,tt,p_ep)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('Euler progressif - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_ep,p_ep)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('Euler progressif')\n", "subplot(133)\n", "plot(tt,Ec_ep,tt,Ep_ep,tt,Et_ep)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('Euler progressif - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthode d'Euler explicite/implicite\n", "Schéma obtenu en écrivant le schéma d'Euler explicite pour la première équation et le schéma d'Euler implicite pour la seconde:\n", "\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "x_{n+1}=x_n+h\\varphi_1(t_n,x_n,y_n),\\\\\n", "y_{n+1}=y_n+h\\varphi_2(t_{n+1},x_{n+1},y_{n+1}).\n", "\\end{cases}\n", "$$\n", "\n", "Dans notre cas $\\varphi_2(t_{n+1},x_{n+1},y_{n+1})=-\\sin(x_{n+1})$ donc le schéma est parfaitement explicite:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Euler symplectique : |energie totale (t=Tfinal)-Energie totale (t=0)|= 0.030048843024607974\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def euler_symplectique(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tfor i in range(len(tt)-1):\n", "\t\tq.append(q[i]+h*phi1(tt[i],q[i],p[i]))\n", "\t\tp.append(p[i]+h*phi2(tt[i+1],q[i+1],p[i])) # il faudrait p[i+1] (schema implicite) mais comme dans notre cas phi2 ne depend pas de \"p\", le schema est explicite\n", "\treturn [q,p]\n", "[q_es, p_es] = euler_symplectique(phi1,phi2,tt,y0)\n", "Ec_es = [p**2/2 for p in p_es]\n", "Ep_es = [-math.cos(q) for q in q_es]\n", "Et_es = [Ec_es[i]+Ep_es[i] for i in range(len(Ec_es))]\n", "print ('Euler symplectique : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_es[-1]-Et_es[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_es,tt,p_es)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('Euler symplectique - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_es,p_es)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('Euler symplectique - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_es,tt,Ep_es,tt,Et_es)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('Euler symplectique - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthodes d'Euler modifiée\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "\\tilde x_n=x_n+\\frac{h}{2}\\varphi_1(t_n,x_n,y_n),\\\\\n", "\\tilde y_n=y_n+\\frac{h}{2}\\varphi_2(t_n,x_n,y_n),\\\\[0.5em]\n", "x_{n+1}=x_n+h\\varphi_1(t_n,\\tilde x_n,\\tilde y_n),\\\\\n", "y_{n+1}=y_n+h\\varphi_2(t_{n},\\tilde x_{n},\\tilde y_{n}).\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Euler modifie : |energie totale (t=Tfinal)-Energie totale (t=0)|= 0.02457609735191002\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def euler_modifie(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tfor i in range(len(tt)-1):\n", "\t\tqtilde = phi1( tt[i], q[i], p[i] )\n", "\t\tptilde = phi2( tt[i], q[i], p[i] )\n", "\t\tq.append( q[i]+h*phi1(tt[i]+h/2.,q[i]+qtilde*h/2.,p[i]+ptilde*h/2.) )\n", "\t\tp.append( p[i]+h*phi2(tt[i]+h/2.,q[i]+qtilde*h/2.,p[i]+ptilde*h/2.) )\n", "\treturn [q,p]\n", "[q_em, p_em] = euler_modifie(phi1,phi2,tt,y0)\n", "Ec_em = [p**2/2 for p in p_em]\n", "Ep_em = [-math.cos(q) for q in q_em]\n", "Et_em = [Ec_em[i]+Ep_em[i] for i in range(len(Ec_em))]\n", "print ('Euler modifie : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_em[-1]-Et_em[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_em,tt,p_em)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('Euler modifie - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_em,p_em)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('Euler modifie - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_em,tt,Ep_em,tt,Et_em)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('Euler modifie - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthodes de Heun\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "\\tilde x_n=x_n+h\\varphi_1(t_n,x_n,y_n),\\\\\n", "\\tilde y_n=y_n+h\\varphi_2(t_n,x_n,y_n),\\\\[0.5em]\n", "x_{n+1}=x_n+\\frac{h}{2}\\left( \\varphi_1(t_n,x_n,y_n) + \\varphi_1(t_{n+1},\\tilde x_n,\\tilde y_n)\\right),\\\\\n", "y_{n+1}=y_n+\\frac{h}{2}\\left( \\varphi_2(t_n,x_n,y_n) + \\varphi_2(t_{n+1},\\tilde x_n,\\tilde y_n)\\right).\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Heun : |energie totale (t=Tfinal)-Energie totale (t=0)|= 0.025432751256537878\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def heun(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tfor i in range(len(tt)-1):\n", "\t\tqtilde = phi1( tt[i], q[i], p[i] )\n", "\t\tptilde = phi2( tt[i], q[i], p[i] )\n", "\t\tq.append( q[i]+h*0.5*( phi1(tt[i],q[i],p[i]) + phi1(tt[i+1],q[i]+h*qtilde,p[i]+h*ptilde) ) )\n", "\t\tp.append( p[i]+h*0.5*( phi2(tt[i],q[i],p[i]) + phi2(tt[i+1],q[i]+h*qtilde,p[i]+h*ptilde) ) )\n", "\treturn [q,p]\n", "[q_heun, p_heun] = heun(phi1,phi2,tt,y0)\n", "Ec_heun = [p**2/2 for p in p_heun]\n", "Ep_heun = [-math.cos(q) for q in q_heun]\n", "Et_heun = [Ec_heun[i]+Ep_heun[i] for i in range(len(Ec_heun))]\n", "print ('Heun : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_heun[-1]-Et_heun[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_heun,tt,p_heun)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('Heun - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_heun,p_heun)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('Heun - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_heun,tt,Ep_heun,tt,Et_heun)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('Heun - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthode AB2\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "x_1=x_0+h\\varphi_1(t_0,x_0,y_0),\\\\\n", "y_1=y_0+h\\varphi_2(t_0,x_0,y_0),\\\\[0.5em]\n", "x_{n+1}=x_n+\\frac{h}{2}\\left( 3\\varphi_1(t_n,x_n,y_n) - \\varphi_1(t_{n-1},x_{n-1},y_{n-1})\\right),\\\\\n", "y_{n+1}=y_n+\\frac{h}{2}\\left( 3\\varphi_2(t_n,x_n,y_n) - \\varphi_2(t_{n-1},x_{n-1},y_{n-1})\\right).\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AB2 : |energie totale (t=Tfinal)-Energie totale (t=0)|= 0.07960924681985027\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def AB2(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tq.append(q[0]+h*phi1(tt[0],q[0],p[0]))\n", "\tp.append(p[0]+h*phi2(tt[0],q[0],p[0]))\n", "\tfor i in range(1,len(tt)-1):\n", "\t\tqtilde1 = phi1( tt[i],q[i],p[i] )\n", "\t\tqtilde2 = phi1( tt[i-1],q[i-1],p[i-1] )\n", "\t\tptilde1 = phi2( tt[i],q[i],p[i] )\n", "\t\tptilde2 = phi2( tt[i-1],q[i-1],p[i-1] )\n", "\t\tq.append( q[i] + (3*qtilde1-qtilde2)*h/2 )\n", "\t\tp.append( p[i] + (3*ptilde1-ptilde2)*h/2 )\n", "\treturn [q,p]\n", "[q_AB2, p_AB2] = AB2(phi1,phi2,tt,y0)\n", "Ec_AB2 = [p**2/2. for p in p_AB2]\n", "Ep_AB2 = [-math.cos(q) for q in q_AB2]\n", "Et_AB2 = [Ec_AB2[i]+Ep_AB2[i] for i in range(len(Ec_AB2))]\n", "print ('AB2 : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_AB2[-1]-Et_AB2[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_AB2,tt,p_AB2)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('AB2 - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_AB2,p_AB2)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('AB2 - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_AB2,tt,Ep_AB2,tt,Et_AB2)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('AB2 - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthode AB3\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "x_1=x_0+h\\varphi_1(t_0,x_0,y_0),\\\\\n", "y_1=y_0+h\\varphi_2(t_0,x_0,y_0),\\\\[0.5em]\n", "x_2=x_1+\\frac{h}{2}\\left( 3\\varphi_1(t_1,x_1,y_1) - \\varphi_1(t_{0},x_{0},y_{0})\\right),\\\\\n", "y_2=y_1+\\frac{h}{2}\\left( 3\\varphi_2(t_1,x_1,y_1) - \\varphi_2(t_{0},x_{0},y_{0})\\right),\\\\[0.5em]\n", "x_{n+1}=x_n+\\frac{h}{12}\\left( 23\\varphi_1(t_n,x_n,y_n) - 16\\varphi_1(t_{n-1},x_{n-1},y_{n-1}) + 5\\varphi_1(t_{n-2},x_{n-2},y_{n-2})\\right),\\\\\n", "y_{n+1}=y_n+\\frac{h}{12}\\left( 23\\varphi_2(t_n,x_n,y_n) - 16\\varphi_2(t_{n-1},x_{n-1},y_{n-1}) + 5\\varphi_2(t_{n-2},x_{n-2},y_{n-2})\\right).\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AB3 : |energie totale (t=Tfinal)-Energie totale (t=0)|= 0.051119920140796915\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def AB3(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tq.append(q[0]+h*phi1(tt[0],q[0],p[0]))\n", "\tp.append(p[0]+h*phi2(tt[0],q[0],p[0]))\n", "\tq.append(q[1]+h*(3*phi1(tt[1],q[1],p[1])-phi1(tt[0],q[0],p[0]))/2. )\n", "\tp.append(p[1]+h*(3*phi2(tt[1],q[1],p[1])-phi2(tt[0],q[0],p[0]))/2.)\n", "\tfor i in range(2,len(tt)-1):\n", "\t\tqtilde1 = phi1( tt[i],q[i],p[i] )\n", "\t\tqtilde2 = phi1( tt[i-1],q[i-1],p[i-1] )\n", "\t\tqtilde3 = phi1( tt[i-2],q[i-2],p[i-2] )\n", "\t\tptilde1 = phi2( tt[i],q[i],p[i] )\n", "\t\tptilde2 = phi2( tt[i-1],q[i-1],p[i-1] )\n", "\t\tptilde3 = phi2( tt[i-2],q[i-2],p[i-2] )\n", "\t\tq.append( q[i] + (23*qtilde1-16*qtilde2+5*qtilde3)*h/12 )\n", "\t\tp.append( p[i] + (23*ptilde1-16*ptilde2+5*ptilde3)*h/12 )\n", "\treturn [q,p]\n", "[q_AB3, p_AB3] = AB3(phi1,phi2,tt,y0)\n", "Ec_AB3 = [p**2/2. for p in p_AB3]\n", "Ep_AB3 = [-math.cos(q) for q in q_AB3]\n", "Et_AB3 = [Ec_AB3[i]+Ep_AB3[i] for i in range(len(Ec_AB3))]\n", "print( 'AB3 : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_AB3[-1]-Et_AB3[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_AB3,tt,p_AB3)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('AB3 - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_AB3,p_AB3)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('AB3 - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_AB3,tt,Ep_AB3,tt,Et_AB3)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('AB3 - Energies');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Méthode RK4\n", "$$\n", "\\begin{cases}\n", "x_0=q(0),\\\\\n", "y_0=p(0),\\\\[0.5em]\n", "\\tilde x_n=x_n+\\frac{h}{2}\\varphi_1(t_n,x_n,y_n),\\\\\n", "\\tilde y_n=y_n+\\frac{h}{2}\\varphi_2(t_n,x_n,y_n),\\\\[0.5em]\n", "\\check x_n=x_n+\\frac{h}{2}\\varphi_1(t_n+h/2,\\tilde x_n,\\tilde y_n),\\\\\n", "\\check y_n=y_n+\\frac{h}{2}\\varphi_2(t_n+h/2,\\tilde x_n,\\tilde y_n),\\\\[0.5em]\n", "\\hat x_n=x_n+h\\varphi_1(t_{n+1},\\check x_n,\\check y_n),\\\\\n", "\\hat y_n=y_n+h\\varphi_2(t_{n+1},\\check x_n,\\check y_n),\\\\[0.5em]\n", "x_{n+1}=x_n+\\frac{h}{6}\\left( \\varphi_1(t_n,x_n,y_n) + 2\\varphi_1(t_{n}+h/2,\\tilde x_n,\\tilde y_n) + 2\\varphi_1(t_{n}+h/2,\\check x_n,\\check y_n) + \\varphi_1(t_{n+1},\\hat x_n,\\hat y_n)\\right),\\\\\n", "y_{n+1}=y_n+\\frac{h}{6}\\left( \\varphi_2(t_n,x_n,y_n) + 2\\varphi_2(t_{n}+h/2,\\tilde x_n,\\tilde y_n) + 2\\varphi_2(t_{n}+h/2,\\check x_n,\\check y_n) + \\varphi_2(t_{n+1},\\hat x_n,\\hat y_n)\\right).\n", "\\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RK4 : |energie totale (t=Tfinal)-Energie totale (t=0)|= 8.32124615898211e-05\n" ] }, { "data": { "image/png": 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19Axx73uXhNyWnkEbd/xqH8O28Uz0YZudWzeFvlNUg3WQO361D+mxPPzLT5Ry9crQO/iVDT18+qnyCfv+/PlLWbcwNeS2vH6qnc/+/h33thDwz//YTEF66Bed/3Sokf/8Y4V7O8ZkYN99V5Ea71dvBq8J2OsMZ17wd/5ylGNN4yssUkqGbHaEEMRF+Sc0rFyQzLc+MP3ktXHjRm688Ua+8Y1vMDQ0xB133EFCQgJms5mYGC1i4MEHH6S8vJyf/vSn7utKS0vZs2dPSIWGtt5hvrDjEFlJMZxt7+frz1Xy41vXnfdfxiobevj2C0fJS43jHyfaeOJfZ/jclYvDbVbYeeHdJn6zt5a81Dh+9toZLigwh00FVigUoaOqrY+rH/vXrOfdeVkRuSnhWdF0sX1f3QSHA+CHfzvFD/92yr1926aFPPzBEiUgKxR+csoZQfClq5dw68YCfvLqaZ4pr6ezfyXpiaGNjn37bBdnOwZ46KZVvG9lDg++eJTn3mlg63XLifXzu76/vHy0hc6BUX5y23pKLWa+9PRhduyv53NXLg75fPOnQw0M2xz8/q4LWZSZwCf/Zz879teFRWjYeaAeAbxw72WYE6K4+edvsX1/XViEhu37a4mNMrDri5cjgBt+8gbb99WGRWjYvq+OjMRo/vS5S+kZsnHjT9/g6QN1fPXa0C/kbd9fR3FmAr+980JqOwa4/Zf7eO6dRj59WVFQX1eX5W0p5W5g96R9T3j8vwl4vx6vNRNCCGJMRoZtdkbGHMSYghM+9MADD7Bx40ZiY2N5/PHH2bdvH7O1gMvKyqKpaXJGSfAYszv4wo5D9A+P8efPX8rfj7fyg5dPstFi5uMXW0JmR6TRPTjKZ39/kIzEaP7yhct44Pkj/PDlk6xbmMolxeEJZ4oEqtr62PpsBRsKzfzm05vY8t97+fedh9n1xctZmBZ65VWhUASP/dVd3PLfe2c974k7NnDt6pwQWOQ9d12+yP3/YZudu39bzp7TE9ctduyvZ8f+8RrVVyzN5MlPbCAmSJGOCsV8Y/u+OqKNBj5+USHpiTH8n0ss/H5fHX882MC/XVEcWlv215ESF8VHSxcSG2Xk4xdZ2F3Zwq6K5pCnUO3YX0deahxlJbkYDII7LirkCzsO8a/T7Vy5LCtkdkgp2b6/jrX5Ke5Q/Ns3FfDtvxzjSGMPq/NSQmaLze5g54F6rlyWRUm+9rq3lObzi9fP0Ng9RF5qXMhs6R8Z4/nDTXxgzQKKMxMBuHHtAp4/3MQ3blhJcghT61t6hnn1RBt3X76IhWnxLATeuzybZ8ob+Pf3LSUqhCkux5t7OVTXzTfKVpCXGkdeahzrFqayfX8dn7rUEtQF6DkdRz9d5EFzzxDtfSNY0hNIjtP/oerq6qK/vx+bzcbw8DBxcXEMDw/PeI3rPK/pbYYWZ4iLMILlUojy/von95xlX3UXj92ylmU5SSzJSqS8posHXzzGpYszWOT8AM45Oqqgy5l1Y4oBy+Vg8P7D+u0XjtLaO8wz/3YxaQnRbPvwGo419/LFHYfZ89XNYcuzC5imwzDgLJ4anw55F3h9qZSSe7cfIi7KyM9uv4DEGBM//9gF3PCTN/j3nYf542cvCZLRQUZKqH0LbEPatrkQMkIf3qhQhJvdlc18ziN8czqe/ewlbCg0h8AifYiNMvK7O8ebXDkckvv/XDlBZAD456l2ln3jJfd2cWYCz3320rDleCsUkcywzc5z7zRwzeocd/TCkuwkNlrM7Nhfxz3vWRSyyNjO/hFePtLCxy4qcEcvXLQojUUZCWzfXxdSoaG6Y4C3znTyH+9f6o5eeP+qbNISotmxvy6kQsM7dVZOtfaz7UMl7n03r8/nkb+eYMf+Oh6+uWSGq/XlH8fbaOsb4TaPSIpbNxbw89fPsPNAPV9+39KQ2fL84UYGR+3cfuG4LbdfWMDTB+p5/lBjSBdanymvx+6Q3LZpvIzh7Rcu5O/HW/n7sVauK8kNmS079tcRbTLw4QvGPy+3byrgq89WUF5rZaMleLUa5rTQMB05ybFYB2z0DNmCIjTcc889PPTQQ1RXV/O1r32N73//+9TU1LiPJyUl0dfXN+GaU6dOsXr1au9f5JmPQ8OB8e3LvwJXPeD15bsqmtlkSeNDzofKYBB870MlXPzIq/z9eCv3zEWhYWwEfnU1DI3nDPLhX0HJR7y6fHTMwctHW9mycSHrC7Qv04kxJr55w0o+9esD7K/p4oqlM0emRCRdZ+HJK5nQ7OWzeyF7pVeXn+0Y4ERLHw/dtIocZ1h0YXoCn7tyMd9/6QStvcNkJ4c3XNovTr0EO24d345Ogv84CdEJ4bNJoQgB//NGNQ++eGzW8179yhVzV3SeAoNB8MiH1vDIh9YAmoj6k1ereOyVUxPOO9M+wNoH/+bejo828vcvX8GCEK68KRSRyq6KZnqHxyY4SAC3bSrgy8+8y94znVwSooJ2z77TwKjdwe0eTqwQgts2FfDw7uOcbOljWU5SSGx5en8dJoPgltLxcYkxGfnohnx++UZ1SL8r/X5fHYkxJj6wdoF7X0p8FDes0Vbv77t+Rchqsu3YX0dOciybl41/f16YFs/lSzJ55kA9X3zv4pAVqNyxv47lOUkT0iRK8lJYtSCZ3++r446LCkMiktkdkqf313HZ4gwK08e/c16xNIsFKbFs318XMqFhaNTOn95p5PrVOZgTxusx3LA2l4dePMb2fXVBFRrCU5o0yAghSIgx0j8yhpQ+Na6Yld/+9reYTCZuv/12tm7dyoEDB9i3bx/FxcVUVVUBsHnzZo4dO8a6devYuXMnAK+99hplZWXevUhHlSYyXPr/wd2vQtF7oOIZcDhmvxawDoxyrLmXy5ZM/EOQmxJHcWYCb53p9P4NRxKnXtZEhht+BHe9Csn58O7TXl/+bkM3QzY7ly+ZKCZcWJRGlFHw1pmAy4aEh4pntH/veA4++RctAqZip9eXu56HyeNyufP5mbPjcng7JGTCna/ATT+D0T44sSvcVikUuiKl5KEXj2HZusv9M5XIkJMcy4H7r6ZmW5n7Zz6JDFMhhOCLVy2Z8J7/6yNrzjlvcNTOJdtenTCGx5sjo8OGQhFqduyvY1FGAhcvSp+w//qSXFLioti+vy4kdkgp2bG/no0WM0uyJ4oJH96QT7TRwI4Q2TIyZucPBxu4ekU2WZPEhFs3FWB3SP5QXj/N1frSM2hjV0UzN61bcI6YcPuFC+kfGeOFd0OTql3fNci/TrezZePCc8SE2zcV0NI7zGsn20NiS0VDN0cae/nYhQUTxAQhBLdfWMCJlj4O13eHxJZ/nmqjqWd4QmQFgNEg2LKxgD2nO6jrHAyJLX+paKJvZGxCxAlAfLSJD67PY1dlM92Do9NcHTjzUmgAbaXaZncwOuadc+4tn/jEJ3juuecAMBqN7Nu3j/e+973ce++9PPXUUwCkpaVx4MABDh8+zJYtW2htbWVoaIiSEi9DmSp2gjDAhZ+FvA1wwSehpx7q3vLq8rfPdiIlXFKcfs6xSxdnsL+6S/dxCQkVOyExG9Z/HPI3wJqPwplXob/Nq8vfrOrAIOCioonjEh9tYv1CM29VzUEBRkptXIouh8VXaaLU4quh8g9eC1NvVXWwICWWwklVcFfmJpMSFzU3x2WoW4toWP0RWLgJ1t4OKQt9EmAUikjEZnfwmd8ddDvERV/fza/eqD7nvA2FZo49eI3bwX77vqtUi2PgltKFE4SHpz61ccrzrvvxngnCw1tVc1RwVSh8wFUE8rZNBees/MZGGfnwBflaQcT+kaDb8vbZLqo7Bs5xkADSEqK5dnUOz77TwLDNHnRb/na0la6BUW678FxbijISuKQ4nR3763E49F3cnIo/HWpgZMwx5bhcUGBmWXZSyAQYVxHILRsXnnPsqhVZZCXFhMyWHfvriI0ycNP6vHOO3bh2AfHRRrbvC40t2/fVk5EYw/umKIZ5y8Z8DAKePhC6cSnOTGBT0blRC7dtKmB0zMGz7zQG7fXntdAAWmGQUHDzzTdjsVimPFZXV8ejjz7q3Y3cjuMVkOwMq1l2PUQneu0kvXWmk/hoI2unqLB6SXE6g6N2KhpCo+rpxmCXFtFQ8lEwOhXcNbeCtMOR57y6xVtnOlmdlzJlXu4li9M50tRDT4S2c5uWhnItdWLNlvF9a26B3kaofWPWyx0Oyd6zWhjk5C8VBoPg4kXpvHWmU/fIoKBz7Hmwj2pjAVodjzW3+CRMKRSRxHv+6zUsW3ex5P6/8tLRlnOO37h2AVUPX+d2oJ/97CXER8/L7EhduXJZ1gTh4S/3Xjblebf/cp9bdDjo0fJPoZhPvHZC+/t407oFUx7/4PoF2OySN0IgvL12so1oo4Hrpwkxv3l9Hn3DY7wTgs/jayfaSE+I5vJpUkY+uD6Pxu4hTrf1B92WV0+2syQrccqCj0IIblq/gIqGHjpCIAa9eqKNC4vSp0w7izIauGHNAt6o6mBkLLhikJSSV0+0cdWK7CkLPibFRvG+ldm8drI96N9nR8cc7Dndzg1rcqcs+JibEsfFxem8eiL430WtA6Mcquvmg+vypkwZWbkgmeU5Se7PfTCYt0JDtMlAlNEQMqEB4K677ppy/8aNG1m3bp13N6nfB921Ex3H6HhY8QE4+jzYZi46CfDmmQ42FaVN+YBftCgdIeDNubZKfezP4LCNO44AWcshZw1UzJ4+MTg6xqE6KxdPEeUBcElxBlLC3rNzbFwqdoIpFlbcOL5v2fVaPQIvhKljzb10D9qmjH4BuHRxOo3dQ9R1hSbESzcqdkL6Eljg0fO75BaQDjjybPjsUih85MafvoFl665zPoOfvbKY6keudzvIj9+2PmR5sPOZkvyUCcLDnq9uxjSpbd2Hf/EWlq27ONrUEyYrFYrgUF5rxZIef056gIuVucnERxtDIraV13SxJj9l2haWGyxmhNBsDrottVZKLeZpW1hucua4l9d2BdUOu0NyqNbKxilWp11c6DwW7N9R/8gYJ1p6Z7RlU1Eao2MOjjQGd65ssA7R2jvifu9TsdGSRkf/CLVBTlk42tTDyJhjyggCT1tOtvbROxzcxU3XMzCbLYfqrIzZgxPpPm+/lQghSIwxMRCEOg1BpWInmOJgxQ0T96+5BUZ6tHDwGWjpGeZs+wCXTtOqMTU+mlULknlzruXdv7sTMp3CgidrtkDTIWg/NfV1Tg7UWLHZ5bTjsm5hKnFRRvbOpXGx2zSnedn1EJs8vj86HlbeCMdeGO+4MA17nfUZpmvtebFz/5wSprrroPZNWLsFPBXcrOWQu1alTyjmBB//lbaCXtEw/gVt9xcvdzvAX7t2ecgqv5/PLEyLp+p744KOZ6Rg2eOaCFQVglVMhSLYSCk5WGuldIbCcCajgQsKzByoCa4TO2yzU9nYwwbL9F1wkmOjWJadxIGa4Dr3bb3D1HUNUlo4/bgUpseTkRjNwSCPy6nWPvpGxiidoTvQ6rwUok2GoAsNh+qsOCQz2uLqYlQe5HFxvdeZuiZtdItBobFlpnHZaElDSoIejVNeayXKKKaMcHdRajEzMGrnREvftOcEwrwVGkBLnxhzyJDkb+nC2KiWBrC8DGImVdEtugISc8YL/02Dq3DfdCv3AJcWZ3CozsrQ6BwZl65qqH9bE1smf7Eu+YhWz6Jy9nGJMgpKp/mjFW0ysLEojTfnUqHMqr/DUNfE6BcXa26Bkd5Zhak3z3SwKDPB3W1iMsWZCWQnx8ytgpCuz0jJR8895qUwpVCEi89vfwfL1l3sOT3+mXvuc5dQs62MlQuSZ7hSEQqe//yl1Gwrw+JR0+bqx/6JZesu6uda5JdC4cHZjgG6BkZndJBAc+ZOtvTSF8TV2IqGHmx2ycYZnHvQnKRDdd3Yg1gbweWYTvf9EbTFzdLCNA4EOaKh3CmqzNQlIMZkZE1eStAFmAM1VgwC1hdM78RmJsVgSY8PunN/oKaLxBgTy3Om/xu5JCuR5FgTB4P8OzpQ08XCtLhpo4JAW9w0GkTQxaDymi5W500fFQS4hcXyID0v815oAOgfmSMOddXfYbgb1t567jGDUXOqT/9tYnvHSbx1ppPU+ChW5k7/Ybu4OB2bXQZ9EtINV/kW/cIAACAASURBVKh7yS3nHkvKgUVXzi7AVHWyfqF5xpzlS4vTqWrrp6139vSUiKDyDxCXphWBnIzlckjKhYo/THv56JiD/dVd00Z5gPbH85LiDPae6QxJkSNdqPwjFFwMZsu5x1Z7J0wpFKHmvj9VYtm6i10Vze592+++kJptZVxQMPMXf0Xoef0/N1OzrYzk2PG/KZc762jMmb8hCoUHrtX4mRxq13GHhEN1wav15UpBmGmFGqC0MI3+kTFOBmk1FrTV+BiTgVULzq2JMMEWi5n6rqGgfv7La61kJcWQb565FW+pJY0jjT1BXWg9WNvF8pxkkqaoiTDZloO11qBGlx+stbK+QHPep8NgEFxQGNxoHFdU0GwCWUKMiZW5yUGN9BgZs1PR2DOrcJiXGkduSmzQxKB5LTREmQzEmIwhqdPQ3NzMDTdo6Q6HDx9m9+7d7mMvvvgi3/rWt2a/Sf3bYIjSohemYsn7tToFje9MeVhKyVtVHVy8KH3aPDLQcnVMBjF32lzWvQ1ZqyD13Kq2ACy5Rqtr0XdugTTQWgEdaerhksXTR3mA1pEDmFvjsvgqME4xyRuMWveJur1agdEpqGjoZnDUzqWzjMslxel0Doxyqi14f8h1Y8gK7ce1z8pUJGVrdRvq3g6tXQrFNDzy1+NYtu6aUA37V58spWZb2bQpTYrIoeLb11D9yPUT9m363j+wbN2FdSB4LcMUCr05UNOFOT6K4lna3q4vMGMQwVsBBU30KM5MwJwQPeN57tD8IK5SH6ztYu3CVKJNM7tMpSEIzS+vsbLRkjZr2lxpoRmbXfJukNo5jtkdHKrrnlWUctnSNTDK2Y6BoNjSM2TjZGvfjKktLjZa0qhq6w9aO8fazkE6+kdnTPlxsaHQzKF6K7Yg1UY40tjD6JiDDV6My4ZCc9CiK+a10AC46zQ4glyn4bHHHuPuu+8GzhUaysrKeOGFFxgcnCWssrkCslaAaZqJNcfZHrOlcsrDtZ2DNPUMc8k0VXFdxEebWF+QOnfC4VsqIffc3uduXMemGZe97nafM4/LClc7x7kwLgOdWmeJyTUrPMldq6VW9E7dT/nNqk6E0AqEzoTreZoTdRpajmj/zvS85KyBloppBRiFIhT87LUqLFt38d//POve9/ht66nZVsZVK85tiaWIXIQQ1GwrO0dwWP/QK1i27gpqiLlCoRcHa61sKDTP6sQmxphYkZscNIfa4ZCU11pnTA9wkW+OIzs5Jmgrw4OjYxxp6p11VRhg1YJkYqMMQYsWbu4ZorF7aNYoD/AUYIIzLseb+xgctXtli0uACVb9infqrEgJG7107iF4hTJdv3tvRI9Si5lhm4NjTb1BssW7CCXQxKDmnmEau2eu6+YP815oSIgx4pCSEZs+itE3v/lNfvzjH7u377//fh5//HGeffZZrr32WkZHR3nggQfYuXMn69atY+fOnQghuPLKK3nxxRenv7GUmqM8k+MYnwYpCzUnaQoOO5VLbz5sm4rSONrUy+hYcJQ03ehvg/6WcZFlKrJXaf82vzvl4cP13UQZBetmKIYCYDQINlrM7nGMaFzPwEzj4nqWpn1erCzNSiI1fuYVg7zUOPJS4zhUNwdaurnHZSahoQSGe6CnPjQ2KRQePPVmNZatu/jByyfd+7Z9qISabWXcuHbqlnKKuYFLcDj7vYmCQ8m3/4Zl6665UxdJERBCiGuFECeFEFVCiK1THP+YEKLC+fOWEGJtOOz0pLN/hLMdAzMWgvRkoyWNw/XdQVmNPdPeT8+QzSsnVghBqSUtaNEVh+u1+g/eiB5RRgNr81OD5sSW++A4mhOiKc5MCJ4ttbPXinBRnJmAOT4qaALMwRorRoNg3Qy1IlyszU/FZBBBS584WGslOdbEkqyZo4JgXIwIlhhUXmOlKCOBjMSY2W0JYp2GeS80xDgLYOjVw/XOO+/kN7/5DQAOh4Onn36aSy+9FLPZTExMDNHR0Tz44INs2bKFw4cPs2WLVqivtLSUPXv2TH/jvhYY7Jh5JRacq7FTr9xXtfVjNAgWZcz+gC/JSsLukNR2BieUSTe8cRxjU7R8/BnGxZKeMGvYG8DirCSqOwaC1uZFN1zvdaZxyV4JiOnHpb2fJdmzPysAS7MT50Zl9ZZKrWhqYtb05+SuHT9XoQgRfyivx7J1F9/+yzH3vm+UraBmWxm3bioIo2UKvTEYNMGh6uHrJuxf8cBLWLbuinyBX+E3Qggj8DPgOmAlcJsQYuWk06qBK6SUa4CHgCdDa+W5lHtRKd+TDYVmBkftHG/WfzV2vPiid6JHaaGZpp5hmoKwGutahfe2Ts5Gi7aINziqf8r2wVor8dHGGWuwTbalvKYrKPW1ymutLEiJZUHqzLUiQBODghmaX17bxaoFyTPWYHMRF21kdV5K0ApCljujgmZKX3eRkxJLvjkuKM69Viuiy+vP8/KcJBKijUGJDJr9txLJ/HXrrM5CLJJFI3bNyfSmx3hOCVy3bdrDFouF9PR0Dh06RGtrK+vXr2dkZITMzMwZb5uVlUVT09Qh7IB3K9Su4yd3w+gARCdMOHS6rY/C9HgvHepE5zX9LMlOmuXsMNLsGpfVM583owDTxwovJ+bFWYnY7JK6rkEWzZKnGFZaKiE5DxJmSHuISYK0RVNGegyN2mmwDvHhC/K9ernFWYm8eaYTu0POWGwn7LRUzv4ZylqpFYRsrtA6vCgUQWR3ZTOf+/3EujpfunoJX7p6aZgsUoQKk9FAzbYyRsbsLPvGeAegpd/4KwBnvnd9ZM+nCn/YBFRJKc8CCCGeBm4C3AqjlPItj/PfBrz7QxxEDtZaiTYaWJ03c8FDF65V9fIaK2vyZ19J9oUDNV2kJ0RP6Owyoy0eK8M3euH4+mRLrZWl2YmkxM9c8NDFBosZ+2uSw3Xds6Yx+2xLTRfrFqZi8saXQRODnj5QT1V7P0t1/J4vpaS8potNRTOn3XpSaknj78fb6OwfId2LFXZvsdkdHK7v5jYfxPrSQjO/fbuWkTE7MabpuzH4inVglKq2fm5en+eTLW+e6URKqWu76jPtA1gHbV5Fv4D2t2p9gTko0RXzPqJBIDAIdK3RcNddd/HUU0/x61//mk9/+tPExcUxPDxzldnh4WHi4maYAF1CQ/YsDnXuGkBC67FzDlW19bPYS+e4ODMRIYj8VeqWSkgtgLhZPiw5a6DrDIxMLFg4bLNT1zXoVRgTTBRgIpqWitkdatCelykEmDPt/UipRbZ4w+KsREbHHDRYI7h929gItJ+YfVyi4yF9sYpoUASV1062Ydm6a4LIcOdlRdRsK1Miw3lGjMlIzbYyjj947YT9xfftxrJ119zp6KPwhjzAMy+vwblvOu4E/jrdQSHEPUKIciFEeXt7u04mnkt5TRdr8mdug+dJboqWUhmMVeqDtVZKLbPXinCxIjeJ+Gij7ivDdofkUK3V68gK0CIfhNA/HL5/ZIzjzd7VinDhslvvlIUG6xCtvSNepWm7bQlSzYijTb0M2xxe1URw22IxMzrm4Ehjj662HPQxKkizJY32vhHqu/SNxjno7tri27icaOmlV+eaQnM7omGGyANP2joGGLU7dFP0br75Zh544AFsNhvbt29neHiYmpoa9/GkpCT6+iY6vKdOnWL16hlEhOYKMBdB7Cwr7+6CkBWwcKN7t83uoLZzkGtW5Xj1HuKijeSlxs0NoWGm9AAXrnFpPQoFF7l313QO4JBQ7KPQUNXWzzWrfLY2NNiGoOMUrLhx9nNzSuDon2CoG+LGVx3OtGu/98V+jEthesIsZ4eJtuPgGJs9/Qi0Z6p+X/BtUpx37DvbyZYnJ3Y1uaU0n//6SNjTsBVhJi5aExx6h22s+fbf3PsX3acVj65+5HpdV7UUYWGqX+CUSpIQYjOa0HDZdDeTUj6JM7WitLQ0KIrUyJidysYePn1ZkU/XlVrMvH1W3yLRHf0j1HYOcseFhV5fo63G6l8b4XRbH30jY2zwob1wSlwUy7KTdLfl3fpuHBI2+CB6WNLjyUiM5mCtlY/5MJ6z8U6db+kkACX5KUQbDbxTa/XaT/EGt3Pvg+jhcr614qfej+esttRZMRkEa2epB+eJOzKotosCLyN4vLKl1ursIOP99/XSwjSks23tFUtnjtL3hXkf0QAQE2VgZMyhWw/X6OhoNm/ezC233ILRaCQhIYHi4mKqqqoA2Lx5M8eOHXMXgwR47bXXKCubIUzbm5Bv0IpBxqaeU+CvtnOAMYf02nEEzXmMaKFhpB86q7xfuYfxVAsnrvfn7bgkxpjITYnlTCSPS+sxkA7vxsUl0rQembC7qq0fgwBLhncT2+JMTaSL6EgPb+p5uMgp0YpBDgavJZbi/OLd+m4sW3dNEBmuWZVNzbYyJTIoJpAcG0XNtjLe+eb7Juwv+roW4aCY0zQAnr2484Fz8maFEGuAXwI3SSnD2tLpZEsfNrtkrY8pEGvyU2ntHaGtd+aIXl+obOhx3tu7FA5PW0629DFs06/gaoXTFl8cR82WFCobe3TzOSbY4sO4CCFYk5/qHlM9bYkxGVie4/3ibYzJyIrcJPf70IvKhm5ykmPJTo71+prMpBjyUuOCYEsPy3KSvI4KAi2qOD7aqLstFQ09rMlP9Um4Xl+QyjfKVvgkTnjD+SE0mIxIKXUrwORwOHj77be588473fvuvfdennrqKQDS0tI4cOCAuxhka2srQ0NDlJRM4xhKB1irvVuJFUJzkiaFfbscam9D4QEWZyZytqM/csM2244B0jvHMSkX4tPPEWCq2voRgln7QnuyOCuRqvY54FB7u3IPUz4vhekJXuenpcRHkZkUE9nCVEslRCdqkUGzkTu1AKNQ+MrJlj4sW3dx08/edO+7aFEaNdvK+O+Pl4bRMkWkk5YQTc22Mvbdd9WE/Zatu7jgoVfCZJUiQA4AS4QQRUKIaOBW4AXPE4QQBcBzwMellKfCYOMEKp0h5CVe1mdw4Tr/SJN+TlJlYw9CwCo/bBlzSE629M1+spccaewhIdrIogzfHK+SvBS6BkZp6tFPgDnS2MPCtLhZu4RNZnVeCmfa+3UtTlnZ2MOK3GSva0V42nKkSV8BprKxx+u6IhNtSdY1dUJKSWVjj8+fIaNBsDJXX1uGbXZOt/X7bEtCjIm7Ll9Evlm/yAo4T4SGWGdxxGEdhIZjx46xePFirrrqKpYsWeLef/PNN2OxWKa8pq6ujkcffXT6m9qd+TDeONSu81qPgn184jjdqjmAxVneT4iLsxIZtjmC0jdVF1xFDL1ZuZ9BgMk3x/mkMBZnapEeESvAtFRCTAqkehEKl5QNCVlTRnr4Ir6AJkxFvNCQvRoMXkxr2c5nqnnq1p8KxWzUdg5g2bqLa370L/e+5TlJ1Gwr4+l7Lg6jZYq5RnZyLDXbytjz1c3ufV0Do1i27uKqR18Pn2EKn5FSjgH3Ai8Dx4FnpJRHhRCfEUJ8xnnaA0A68HMhxGEhRHmYzAU0JzYlLop8s2+FFFctSEYIqGzQr/NEZWMPRRkJJMb4ltntcqoqdXTYKht7WLUgxasOAp64HF89Iwn8cWJBGxeHhGNN+vyOHA7JsaZev23pGx6jtlOfWl/9I2Oc7Rjw25aazkHd6hE0WIfoGbL5KXqkcLSpF7tOPsfxZu1e/tgSDM4LoSEmSnuberS4XLlyJWfPnp1SOLjrrrumvGbjxo2sW7du+pvaR7V/vRUactfA2LCWVuCkqr2fvNQ4r9q7uBgvfKifAqwrLZVaEcgULwsy56zRoiDs4xOHLwUyXSzOSmRw1E6zjuGAuuIqBOltSNSkgpA2u4PqjgGf0mxAG5czbf26qtG64XBo79GbKA+AxEwtCmaeFYScrX+785wrnV9ujwoh/hlqG+cDn37qAFf84HX3do7TUXzpS+8Jn1GKOc/CtHhqtpXx9y+PP0dn2jVBq39E/3Z5iuAgpdwtpVwqpSyWUj7s3PeElPIJ5//vklKapZTrnD9hDX1yObG+1gdJiDGxKCNBV+f+iJ8Odb45jpS4KN1WhsfsDo439/rlrK3ITcZoELrZ0jNoo65r0C9b9BZgqjsH6B8Z8+t3tFpnW4419SIllOR711VuKluONuojwPgbFeSyZchm56xOkdSu567Ex/SjYHFeCA1Gg4Eoo4ERW4T2rrbbID4DkrwskOIuCDnuJFW19Xtd8NCFZ4G/iMRVt8LbP345azTRpkOLRLQ7JGc7Bnxu3xnR4+Kwa9Es3kR5uMgpgfbjWlcGoLZzkDGH9LoTh4vFWYn0jYzR1jfi03UhwVoNo/0+jsuac1Jt5jLe9G8XQqQCPwdulFKuAj4ackPnOJatu3j1RJt7u2ZbGW9PCn1XKAJhcZYWGfPiF8ZrBK7+1sscb9Zv5VihAG0B7mRLn9+rnyV5Kbo51B39IzT3DPvlrAkhKMlL0c2JrWrvZ9jm8MuJjY0ysiQrUTdbXKkp/oxLdnIMGYkx+tnivI8/z8vS7CSijQbdnpfKAGxxp/3oaIvJIFjmQ92Kybbo9TuqbOwhLSGaBSne160IJnNSaPBnRTXGZNAlokFvpJRgH9FWYr11qDOWgjEGWrTUAodDcqbd95X71PhoMhIjNO/ePqZFJ3gb5QHnCDD1XYOMjjl8HpclkSw0dJ4B26DvQoNjTGv9iO8FMl1EtADjSyFIFzkl0H4SbBEaueI77v7tUspRwNW/3ZPbgeeklHUAUso2FF4hpZxQqO87N66iZtsMBX4VigBZnZcy4Rm77sd7eHp/XRgtUsw3TrX0Y7NLv5xY0J7Rlt5h2nVYgAjEcXRdd6q1T5fv+q60B3/HxSXA6BEB6h6XBf4KMMn6rdw39BBtMrAk27fvjwDRJgPLcpJ0FT2yk2PISvLdoU5PjGFBSqyutizN9q0QpIvizARiowwc0S26QovEiZQORnNOaIiNjaWzs9PnD29slJFhm36dJ/RASklnRwex1lO+OY7GKMha4c4vb+weYtjm8OuDvzgrITIdx87TWnqIL45jxhIwxbnHxfW+fI30SE+MwRwfRVUkppT4UgjSRY6z4r1zXFytLf2NgDndGonjUgkGk/a58JbcNSDtWrTH/MCb/u1LAbMQ4nUhxEEhxCdCZt0cpmfIRtHXd7u3X/7Se/jkJZbwGaQ4r6jZVsamIq0N29bnKrn7t2FN6VfMIwIJ+fa8To+V4SNO537VAt+jCFy22OySUy2Bf6c90thDfLSRogzfv1eDFrbeOTBKsw4FISsbe8g3x2FO8K0QpIvVeSmcbutjaFQHAcZZCDLKx0KQnrboKcD4+9x62hIoUkq/U35Aa8+qV0HIYZud0619lOT59xkKBr5VW5kGIcS1wI8BI/BLKeW2Kc65EvgREAV0SCmv8Oe18vPzaWhooL293afr+kfG6B60QXcsRh8LuwSTWMMY+QcfgbLv+3Zh1ko4+xqAu0OCryvUrmteONyElDJi1C/Avfruk+NoMELm0vGV+wDHJSIFmPaTIAxaVIu3pC3SImA6TgKaAJObEutzsaWspBiSYk2R2ZGj/SSkFYMpxvtrckogMRsGwtpZTE+86d9uAjYAVwFxwF4hxNuTK58LIe4B7gEoKCgIgqlzhwM1XXz0ib3u7RMPXevXqoVCEQjP/NvF/HLPWb676zivHGvFsnWXiqhRBEylsxDkwjTfCkG6WJWXohWEbOxh8/KsgG1ZlJFAUmyUX9d7hqAHmp+uFYJM9ttfWLVg3JYFqf6NrYtAnFjQHGqHhGPNvWwoNPt9H4dDcrSplw+uX+D3PUryUtixv466rkEK0/1vozgwMsaZ9n5uWJMbkC1/O9ZK37DN72cOtMVe66CN1QE8cyV5KfzxYAMOh/S5+KgnJ1r6GHP4H6EUDAIWGjzygt+HtoJ2QAjxgpTymMc5rrzga6WUdUIIv2ejqKgoioq8aF83ib1nOrn76bf57ac38Z6lmf6+vP6cehlGu71ryedJWhG8ux1sQ1Q5O074miLguqZ3eIz2vhGyfOhDG3S6qrV/03wcF3ORO3XidGs/mUkxpMT5PoEszkrkpSMtPl8XdKzVkJzvm0NtMIC50D2mp9v6/BJfhBCRK8B0Vfv3rPxH2DuL6Yk3/dsb0ITeAWBACPEvYC0wYSCklE8CTwKUlpZGThhYiPnByyf42Wtn3NvKsVOEk7suX0SpJY0POlupWrbuourh63xuM6dQuDjS2MPqvGS/F5oSY0wU6VQQ8khjD6WWNL+vX5gWR3KsKWBbxuwOjjX3ctsm/0X2lbnJGIT2nq5Z5WX9tSnoGbJR2znILaULZz95GjyjTgIRGmoCKAQ52ZbKxp6AhIZjzVohSH/SSVy4hIGjTb1ctCjd7/scCTAqCDQx6Dd7aznrR6F2TwJNPwoGevx1mhN5wa60gohzkgJxqAGstVS19ZOeEO1XWNXiLK1wScSNi7VGK5AZ42NhlbQi6K4Dh50qP+pWuCjOTMQ6aKOzP8IKH1prIM3i+3XmIrDWaPU82gZ8bm3pQmtxOeDXtUFDSm1cfBXrIimCRx9m7d8OPA9cLoQwCSHigQvRWrApJrHhoVeUyKCIONYtTOXdB97v3l58/19pjdQOSYqIZnTMoRWCDMBZA83ZCzTsu7N/hKaeYVYHEPIthNAlHP5M+4BWCDIAZy0u2siSrMDrERzVwXHMTYklPSE6YFv0cGKX5iQSZRQB1yNw19AIMIoAAk/7cRWCXO5HIUi3Lfn62HKkoQdzfBR5AUbR6IkeQsOcyAtOT4gmNT4q8sK+rTUQlQAJPkZZuIQJa7XmUPupgLkL/EXcuPixQg2as+mwIXvqOdMW+LicjjQBpqvad4catLHsqqape5Ahmz2gcenoH6F7cNSv64PCQDvYBvx7XuYR3vRvl1IeB14CKoD9aKluR8Jlc6Ri2bqLzgHtGf/YhQVKZFBEFCnxUVQ/cr17+8Lv/YN/nfItnVShONXax6jdEfDqZ0leCs09w3QEsDCj10psSV4KJ1v6GB3zv8tcoHUrXOhRj0APW/QSYI40aoUgl/rYyc2TGJORZTlJutiSmRRDdgCR2BmJMeSmxOogNPSyxM9CkC4WZyYSG2XQRQyKpEKQoI/Q4EtecBlwDfBNIcSUSeZCiHuEEOVCiHJf6zDMaKQQztXYCHMcXQ61rw+Fy9nsqqYqAIc6OzmGpBhT5I1LV43/DjVgbThF/8iY3+PiaokZUeMy0geDHf4LMLYBautqAf/qVnheF1Hj4ooK8ud5mWfM1r/duf0DKeVKKeVqKeWPwmdt5GGzOyZ0lvj1pzby8M0+FOpVKEKEEIKabWXuWjuf+J/9fP+lE2G2SjGX0NOh9ryfPwTSNnGyLaN2B6cCKFrtKgS5yM/ITxclecl09I/SEkDEUWVjD3mpcaT5WQhy3JYUTrf1M2zzvyBkZWMPK3KS/C4E6WlLpQ4CjB51CFYH2BJ1vBBkYMUXTUYDK3KTA7Jl2GbnVKv/rWqDhR5Cg7d5wS9JKQeklB2AKy/4HKSUT0opS6WUpZmZ+tZSKExPoL5rUNd7BkxXNZgtvl8XnwYxyYy0n6FnyIbFz1wnIQSFGfHURdK4jI1Cb4P/DjXQ06SlnFsy/BuX3ORYoo2GyHpe3A61xfdrndf0Np8GoMjPcXHl1EXU82L1M/1IofCgrnOQJff/1b194P6r2bwssOJmCkWwOfKda/jYhVou+S9eP8N7/uu1MFukmCtUNvaQFGuiMD0+oPuscjpZrq4R/tpiSY8nOYCifDCxBoC/HGnsYWWu/4Ug3bY4w+ErAxiXo029AaWTuFidl4LdITnW7F/KgsMhOepsm6iHLT1DNhqsQ35dPziqFYLUw5aSvBTOdmi1J/yhqWeYroFRfUSPBSkca+rF4fBPgDkZgYUgQR+hYc7kBeeZ42jtHcZm9z+kSlccDmfOvR8OkhBgtjDaruUQ55n9z8fJS42j0c8PfFDorgPp8G+FOnkBGKKwucbFzzwlg0GQmxpLQ3cEjYs1gJV75zNm6zhDtNFAZqIPxSQ9cI1nRD0vXdWAgNTzuzuCwn+ee6eB9/xg3EGrfuR6MpP8+4woFKHm4ZtLeOKODYAmAlu27oqoVt6KyKSioZsSHcKsk2OjWJSRwLsBONQVDT2U5KcGZAdAYXo8ybEmKhq6/breZndwpCnwrhUAK3NTMBoEFX6OS/fgKNUdA6zRYVzWON9PRb1/41LdOUDfyJj7PgHZkqe9n8N+2nKksReHhDV6CA35KUjpvxjkGk89nt01+Sn0O7tp+GWL85mfd0LDXMoLzk+NwyGhRYe+trrQ1wz2Ef9DvtOKMHTXAP471Nq18TR2D0XOFxNrACv3BiOYC3UalwgTYPwtHAqQWggIjN215KbG+t0+Jy7aSHpCNI0RJcDUQHKeb504FAonn37qAF9+5l33ds22sojKb1QovOHa1Tns+epm93bR13cz4OcqnWL+MzRq53hzH+sLAneQANYVpHK43urX98jmniGae4ZZvzBwW4QQrCswc6jOPyf2ZEsfwzYH6wv8787gIi7ayPKcJA7VW/263uWI6zEuuSmxZCfHcMhP5941nnqMy/LcJGJMBr+FhkN12niu0+HZXZcfmOhxqL6baJOBlbmBR524xjaQ31FmUgz5ASw8BwNdeiLNlbxg16q/v+E6uhOIQ+28Lra/HgOOwCIazHEMjtrpHrT5fQ9dCcShBjAXEddfT3pCNHHR/hdnyUuNizCHuhri0iDWD7UyKhaSFxA/UBdwNdo8cwSOi0qbUPiBZesuXj2hNUFam5+iij4q5jQL0+I5+d1r3durvvUyJ1oCq+6umJ9UNvZgd0gu0MFxBLigwExH/6hf368PO53YCwJovTjRllROtvb5FQ7vcmIv0EmAWV+Qyrv12lj7bks3BgFrdBJg1i/0X4A5VGclKcbkdyc3T6KMBtbkp7jH2ndbuilMjyfDz8hcT8wJ0SzKa9IujwAAIABJREFUSOAdv22xsnpBMtGmwN3pRRkJJMea/P8d1XezfmFqxC2UnFfNl91h35HiJFlrtH8DcKiNcowCUzfpARSKichxiYqHxGz/rk8rwjzSSF6q/9VoQXOo2/tGAiqeoyv+ptm4MBeRNtIYuNAQaQKMv3VOFOctUsoJRR+/c+Mqnr/3sjBapFDoQ4zJOEEwu/ZHe3jmQP0MVyjOR9yrwjo4sYA7MsIfh03PVWHNFjNS+pcm4FoV1qs94PqFZvpHxvwqoH2ovpul2Unugq8B21KQSl3XoF/dQQ7VdbOuINXvaNhzbTFzpLGXkTHfvl9LKXmnzqpLlIeLdQWpHKrr9jkax2Z3UNHQo0uUB2gp21o0ju+fIeuAlmajly16cl4JDblOxzNiwuG7qkEYIWXh7OdOhdPpvCDRGpCClR+JkR5mi++dOFyYi4iXgyxNDixCw/WHpjlSUm38bW3pxJ5aSK6jNaDoF9DGpSlSUm1G+mGgTUU0KLymZ8hG0dd3u7df/tJ7+OQllvAZpFAEgZptZWy0aF86v/psBZ/53cEwW6SIJFyrwuk6rAoDLMtOIi7K6NdqrJ6rwjAeDu9PCLreq8KuKA1fnUeHQ3K4zqqr4+i612Eff0eDo2OcaOnV1blfvzCVUbuDY02+RVw19wzT1jei+7h09I/47AOdaO5jZMyhW/oRaONyyo9oHHeajY626MV5JTTEmIxkJcXQ2B0hFfOt1ZC6EIx+Vtl1Op0r47oCMmNBpEU0BOhQS+fq9sqYzoDMcDnkESFM2W3Q0xDQyn1vXD5ZopuCxMAEgjxzHMM2B50DowHdRxdcUUEqokHhBeU1Xaz9zt/c2yceupZlOf73BFcoIpk/fOYSvlG2AoCXjrZMiOJRnL8EY1XY5AqH99G513tVGCAlPorizASfnftgrApb0uNJjY/yWYA52zFA7/CYro5jSV4KJoPwuWZERUMPDqlPfQYX7noEPo7LeK0IfZ178F2Yco2jvuOSikPiczHTQ3VWLc1Gh2KdenNeCQ0QYfnlATrUpORjw0SxqS0gM8zxUcRFGSPDoZYy4BSB7tg8gIDHJT9Va/kUEcJUdx1Ie0Dj0mbKBWCRqSMgUyKq84RbaFARDYqZefRvJ/nIE3vd2zXbyoiN8r+Gi0IxF7jr8kX86XOXuLctW3f5lS+umD8EY1UYNIfrWFOPT+mmwVgVdtniazh8MFaFtdoIqT4793rXigCtOOWK3GS/nXu90mwAclJiWZAS67tzX2clxmRgeY4+aTYAy3OSiI0y+CxMvVNrJSsphgUpgaVpe+IaY59/R/XdLM9JJj5anzQbPTn/hIZI6iQQYBG7YTvUOzLIl60BmSGEcAowEeBQ97XA2FBAK9T1UqvtkCdbAjIlJyUWISLFoQ6gtaWTOte4OAIbF3ekRyQIdtYAC4cqzgtKv/sKP3m1yr2tij4qzifWF5h594H3u7eL79tNW2+EpAQqQk4wVoVd97PZJUd9CIcPxqqwy5bOgVHqu7z/nhKsVeH1BWZOt/XTO+x9Ou+h+m6SYk0sygi8+OJEW1J5t77bJ7HxUJ2VoowEzAHUgpvaFt/rERyq11qy6pVmA65onFS/nPsLCsy6Fl9MjY9mkY/ROFqaTXdEpk3A+Sg0mONo6h7GEW5Ff6gbhqwBOdSN3UPUyywybE0BmxMxBf50cKgb+iUt0kz6aGDjEm0ykJ0US0MkjEugnTiA07ZMAMyjjQGZ4o70iAQBpqsaYlMhLvIK4CgiA8vWXXT0a2k+t19YoEQGxXlJSnwU1Y9c797e9L1/8MbpwKLbFHOTYKwKg0cIug9O0qG6bt1XhTVbXK0CfbAlSKvC6wtSncUpe7y3pa6bdQv1K77oacvAqJ1TrX1enS+ldNet0Jv1Bak0WIdo6/NO9Bwdc1DZ2BMUh3p9QSpHfYjG6ewfobZzMDi2LPQtGudMez99I2MRWQgSzkOhIT81jlG7w6+qq7qig0PdaB2iVmaTNFivpRwEQJ45QiI9dHCo3eMy1BCwOREzLtYaMMVCYo7ftzjTH00vCZh6agMyJTnORGKMKXKEKRXNoJgCm90xISf915/ayPduLgmjRQpFeBFCULOtjHhn2+c7frWPH758MsxWKUJNMFaFAbKSY8lLjfMpHP5QnZX1Bfq35FuanUh8tPfFKYO5Krx2YSpCeC/ADIyMcbKlNyiOo1uA8XJcGruHaO8bCZpzD94Xpzze3MvomCNo4+JLNM54mo3+tlxQ6Fs0TrAilPTivBMaXGHfYV+lDrS1JdoEUCuzMNn6tOiIAMhLjcM6aGNw1Pe+w7pirQFh8L8TB9q4NIlsjAE61ODssNATCQ51DaQWgsH/j2xj96BWp8El5viJEIK81LjI6FKiWlsqpmBwdIwl9//VvX3g/qvZvCwrjBYpFJHDsQev5bZNBQD89LUqPvTzN8NskSJUBHNVGDRnx1vHsWtglJrOwaA4a+7ilF4698FcFU6OjWJxZqLXAsx48UX9f0eF6fGY46O8HpdxJ1b/cVm1IIUoo/B6XFw2B1P08GVcjAZBSZ7+xRd9jcY5VG8lJS6KovQE3W3Rg/NOaFgQKYXsXM5eIKkT1iEacK5wWwNzHvMjpcOCtRpS8sHkfy5Yg3WInth8RF8z2AJ7P3nmOJq7h8NfPKsr8JX7xu4heuPyA35WIEKKqtrHoKdeFYJUnMPKB152/7/6kevJTNKnhZtCMV945EMlPHHHBQC8U9fN7srmMFukCAXBXBUGzSFt7B6i1YsaIIdd9RmCEJbvsuVoU69X4fDBXhVeX5DKoTqrV+HwLgfT1aZTT4QQWm0Er537bmKjDEHpzhQbZWRlbrL3zn19NznJseSmBNaifSqyfYzGOVRvZUVuEnHR+heU9jUaJ1hpNnpx3gkNeZHSytFaDQmZEOP/h7exe4iBBOfKf4Cr1K5xCXukR6CdONDGZThJW61xR474SV5qHGMO6XUOWVBwdeIIYFzsDklz9zAjiQVaBwt7YJErWlHVMBcP7W0Ax5hKnVBMYMU3X3L/v/qR63UPyVUo5gvXrs7lgRtWAvC537/D0Kj33QIUc5O3z2ptvy8IktCwodA84XVmtqWLKKOgJEgt+TYUmBlzSA7Wzu7Ivn22k9T44K0Kbyg0Yx20cdKL2ghvn+2iOFP/4ouetlS19Xv1vfb/Z+/M46Oqz/3/+c6ezExCkpkkLCKLKEugiIAgFRVkkVatWmutrdpqrV2st7Quve213latevvjeruoXbTqry61WmvbHwJi9aqobEotm4DKEmCykmSWzP79/XHmTIaQZeZ8v+ecyeR5v168OElOzvnmy8kwz/N8ns/zzkdtmDFmBOxWfcLF08dWYduhjkFfe9Jpjo0ftWefLz2YdXIVNn7UPqiHXzSRwnsHO3T7HbJZLZh50oi8fofaQjF80BTUdV9EGXaJBq/LjgqXrQgq9/uFJd+Hj+VMZxCsUo8uGkXDfgn7Eum5hmgCphj2JdwCJMJC+9IcjCKZ5kpQnk4qQboAo6vK0BVNIliAi7J02sV9TojS4pVdTejOVK/+9q1PUpKBIAbhK5/sef2ccseaAc4kSoG1OwKYNqoC9ZLNF1VmjK6Ez+PEuh0DT0PjnGPtjgDOmujTbSTfglN8cNktWLdj4ElbiVQa63c1YdHkWt2qwuedVgvGMOi+dHYn8PaHrTh/Sp0u6wCAxVOUNsKXdw68lkPtEew82oXzp+jXdnj+lDpEE2m8vrdlwPPeP9yJQFc0u3Z91lKL1lBs0JaFN/e2IhJPYbGu/0Z12B0I4kBbeMDz1u9qAufQdV9EGXaJBgAYXVVuvqKh4xAwYqzQJQ53dMNfXQWU+4BOscCx1uuCzcLM3Zd4BIi0Cu1LMJpAVzQJl3+C8gnBfRlTDAqYjkPK3wL7oiZKyvyZN5WC+1IUyiD1Zxih3c+DKB1SaY7rHt8CQJGp6lUlI4hSI3cSy+ceftvElRB60tQVxbsHO7B8mnZT6cGwWBiWTqvDqx80D9iyoARRESxv0G8tZQ4rzjnVj7U7mgasUr/zURu6okld96W2woVZY6uwZvvASY9XdzcjkeJYpuO+nFbnxck15Vg7SNJjbSZBs0zHfTlzQjUqy+zZe/XHmu0B2CwMiyfrF9yfN7kWdisbdF/W7AjA67Jh/oQa3daydKryc+azL2OqyjB1pNwJMjIZnomGESZPEuAc6DoCVIzWfIlkKo1AV1QJ+CpHA51iIwutFoaRI1zm7ktXZhxl5RjNl1AD3+raUYDVIaVyD8Bc40P1Z6jU/ryo+1JZryYaxJ6XolB6dB0GwADvKPPWQBQNE/99dfb4hW8sMHElBDH0eP2W8wAAm/a3Y2Mekl1i6LEuU8HWM4gFlMA0Ek8NOD517Y4AGIOulXt1LYGuKN4/3P9oybU7AiizW7HwVL/Oa6nDzqNdONTef9vp2h0B1HqduvgzqDDGsHxaPd7a14rO7v5VqWt3BDC53ouTdTQZtFstWDylFut3NiGRSvd5jqp+mT+xBpXldt3WUuGy46yJPqzZHujXSyOZSuOVXU1YPLlW+tSWXE6qLkfD6IoBE1PBaAIb9rVh+bT6olZvDstEw5iMkV2+M0qlE24FUjGhgDrQpRgUjq4qAyrGZIIuMUaPMNngTw2oBRIwauA7usoNVIwSDqjLHTZUldtNrtxnfoYK7c+LmiipHZ1JNAgmYIpC6dHZCHhqhYxDidLgM7/qcc3/8J4VJq6EIIYmY2vK8dWzlf8frvjNO0j286afGLqs2xHABJ8bk2o9ut5n/oQaeF22Aauxa7YHMPvkKt2NehdProPNwvoN2NJpjnU7mnDuaX647PKN/XJRlQH97Ut3PIXXPmjB0ml1uhv7LZ1Wj2Sa49XdzX1+vSUYw5YDx3RVnKgsn1aPrmgSGz9q7/Pre5tD+Lg1jKU6KitUlk2rx8H2CHYH+vbS2LS/HcciCUP2ZdnUerx7sAPN/RirvvpBC+KptO6JQ1GGZaJh9IgyhGJJdHWbNMpRQkB9pEN58GQpGpRrlZtboVZ/BoHK/ZFM4DumqkzZXxkJmCqTFTBdhwGbCyiv1nyJIx3dGFFuh9tbCbhGCD8vPo8TDqvF/H0R+B0iSoN/NXZmZ1o/eu1sWIvUeZkgip0ffGpq9viUnPGwxNCnM5LA2x+2YVmD/tVPh82C86fUYf2upj4TVgfawtgdCOoqyVepLLdj/sQarN3Rd5X6vUMdaA7GDAkcT65xY8rIin4TDa/vbUF3IoXl00bqvpbTTxqBWq+z3wTMyzuV3n8j9mXhqX6U2a1Ys6PvyTdrtivql2VT9VW/AMCSqXVgDP3uy9rtAbjsFt3VL0CP8mhtP14aa3cE4PM4dTOllMXwTDSocvgOk1zzJQTUhzNrHzUiE1DHOoHY4G62AzG6qgxNwSjiSZMqGWpSQEAK39jRDYfVAr/HqeyLlASMyUqPzkblZxF4c3C4ozvrq4DKMT1tKhqxWBhGjXCZO6Wk87DQ7xAx9OGc48JfvgkAcDusWKRj/yZBDAc+ylEEfe9P/zRxJYRMXtndhGSaGxLcA0qbwLFIApv2n1ilNqL3P5el0+rxcWsYe5tDJ3xt3Y4A7FaG8yYbY6a3bFodthw4hpZg7ISvrd0RQGWZHWdO0F5UyhfVS+N/97T0OfFh7Y4ATq4px2l18sda9sZlt+Lc0/xY14+XxtodASUxUqGPgWkufq8Tc06u7jMZlE5zrN3RhIWT/LoZmOYyqdaDCT53n2am0UQKr+1uxpKpdUVfXBmeiYYRJveXqwG1jBYBNdEACAfVY0aUgXMg0GnSKMfORsXY0q79xeTwsW6MHOFSZGeVo4HgESAtljhRlR6mtdp0HREOqA8fy0k0VIwWbp0ATFZ6cJ5RNGhvJyGGPuO/3+PLsOPHy01cCUGUBhYLw9++9UkAwHNbG/FBPxJiYmixZnsAIytdmDHaGJPchaf64bJbsLaPyvDaHU2YNqoCJ1WXG7KWZZkqde+1cM6xJjP5osKlX+9/Lssb6sH5iRMfEqk01u9swuIptbqNkuzNsmn16E6kTpj40BVN4K0PWw3t/V82rR7NwRjey6gTVQ61R7DjSJchygqVpdP6nvigTr4wai2MMSydVo+3P2xDZ+R4L40N+1oRjqcM3RetDM9EQ5XJ/eVdhxWjwnKf5ksc7uhGjduBMoe1JwgVbBMwXekhI6Du6BVQp5NAuO8etHwZXVWG7kQKxyImjXIUbBHgnCv7UqUqGkpA6RHtBOIh4TabG57YgvcODj5jmyg+Vj67LXu8i5IMBCGN6WMqsw78yx543bwk+xCFMbacMfYBY2wfY+z2Pr7OGGM/z3z9fcbYLD3X03gsgtf3tmDpVP17/1XKHTYsnOTH6u0BHAvHs5/fdbQL7x48ZpiaAVAmPpx+0gi88N5hROI9LdNvf9iGA20RQ9eiTnx4dsuh48wPV//rKLqiSUPXMm9CDSpcNjyz6eBxSoLntjQikeKGeCKoqBMfnt508LjXm6c3HQRgnPol915PZe6dXcvGg7pPvujN8gbFS+NPWw9lP8c5x9ObDuk++UIWwzLRUON2wGGz4KhplfvDilGhRfv2H+2MYuSITOW/Qk6iYVQmQD/aYdK+SKhQBzqjGFmZ0yIAiE9YyOzzETOC6lQSCB4VSjR0RZOIxFMYVZmTgOluV8aJCjCysgwtwZg5rTZq60eF9jabQ+0RrNvZhHCs/xFcRHFyqD2CP7+r/F7fc8l0JeFKEIQ0Hv7SGdnjXOUQMTCMMSuAXwG4AMBUAFcyxqb2Ou0CAJMyf24A8JBe6zkWjuPqRzfBYbXgmrPG6XWbPrnx3Ino7E7g+ie2IJpI4UhHN778+83we5y4Yo6xY6lvWjQJ+9vC+NZT7yGZSmNvUxBff/JdTPC58elP6O+JoMIYw7cXTcK2Qx247fn3wTnH1gPHcNvz72PGmEqce5r+vf8qdqsF3zzvFLz6QQvuXbMbAPDqB824e/UunD3Jh9NP0m/yRW8qy+z48oLxeG5rI377xkcAgD+/24gHX/sQF88cpevki96cVF2OS2eNxq//9yM8t1VR//7ujY/wxy2HcM1Z43SdfNGbT4ypxDmn+vHTl3bjH7sVFcx9az7A+l1N+Pq5E3WdfCEL/ZtMihDGGOoqnP06eeqOhIC6qSuWDYCVYIsJB9S1Gfff5j56xwyh8zAw7pOavz2d5mgOxlBfmXExziZgGgGc0e/3DYbaF9ZXT53uhAIATwtV7tXnvK6yd2LqCOA7RfN16zPXaw3Fskkqw+gSn8TRlPn3rKvQ1/WakM/Z97+aPf7CmWNNXAlBlC577roAp/5QMYVc9fIerFxyqskrGhLMBbCPc/4RADDGngFwMYCdOedcDOAJrpRu32GMjWCMjeSc9+2Gp5HueArXPb4Zjce68YfrzsQEv77TJnoza2wV/ueKmfjGU+/im0++i4PtEYRjSTx743zUGdBvn8t5k2vx44sb8MO/bMd3nv0ntu5vh8NmweNfmWtY24TKZWeMQeOxbvz3+j2wWyxYuzOAugoXHr12Dpw2Y5PmNyycgMMd3fjN6x8hmkjhT1saMbnei4e+eIZh6heV25dPxuGObtyzejeOdkbxf98+gPkTanD/Z2cYug4AuPfSGWjuiuG259/HziNdeHTDx1gxvR7/vmKKoetgjOHBq2bhyt++g288+S6umH0SHn/7AL5w5lh8/ZyJhq5FK8WfCtGJOq8LTV0mBtSCLQLNXdEeYxSrHfDUCffdu502eJ02NJmRgIkFFUNLgcp9WziOVJr3/AcmSdGgXs+UfZEw2lJ9zuvUMVKVuQkY7aiJKXP2JbN2CQkYIwyGjGIwyW7OeXMYYynG2GeNXJ8Mxt3+/7LH++/9lIkrIYjSRg3EAODnr+zF0U4TzX+HDqMBHMr5uDHzuULPESKd5rjp6Xfx3qEO/PzzMzF3vP4Gg31xwfSRuPPCaXhldzMOtEXwm6tnY8rIClPW8sV5J+Pbiyfhb/88gq5oEr+/do5hPhG9+fbiU/CFM8fij1sOwWZheOIrc+HzGF/0YIzhRxdOwwUN9Xji7QPweR34/ZfnwOM0vg5tsTCs+twnMH9CDX6/YT8m1Xnx66vPMDz5AiivfQ99cRYm13vx6IaPMXd8NVZ9bqYpxotupw2PXjsHdRUuPP72ASydWoefXNxgmH+GKMNS0QAoweOuQJfxN06nFINCgYA6nkyjLRxHnTcnQJLUd19b4URz0MSAulIkoM4Ejuq+lFUpYyEFW0r8HjWgNiEx1SU+oUTdl2wCJlfRIEBPAsakfWEWwKO9b6+pKwqX3YIKV2m8DOZIdpdAeeO6mTH2V875zj7Ouw/AWuNXKcbPX9mbPd7yw/NNXAlBDA/OOdWPKSMrsOtoF+b/9B+U3Bucvt799za5yOcc5UTGboDSXoGxY/NXb1ksDAtP9eOc02qxvMG41oC+uOascSh3WDFqRBnmTzS3p/w7509CjduBGWMq0WCQMWZfMMbwk4sbMK6mHOecWmtoa0BvrBaG/75iJhpGf4wLZ4zqeQ9tAk6bFb+++gw8vmE/rphzkuFqk1y8Ljse+/JcPLPpIK4+axxcdvNaNH0eJ/5w3Zl4cdthXH/2hKKfNJGLFEXDUKyi1VY40WxGgBRqVgwKBXrLW0J9SL4rRgkH1Mo1TVJ6qNV1gX1REyTZfWEsM+JSrHLvsFlQ43agyYwEjIQJJeq6ayt6tZSIttpUqK02JiWmvCMBq/YkQVNXDLVe15DJCudBVrLLOY8DUCW7vbkJwPMAxFxSDaYjEseql/cAAL5x7kRTqj8EMRx56eazs8e5iiKiTxoB5BoQjAHQO6ufzzkAAM75bzjnsznns/3+wvr3r54/Dl+ad3JB36MXl88+CQtO0W6ALgvGGK45axxOH1tl9lJgtTDcsHAiTqvXf4TkYLjsVnzzvFMwtsYchUcuFS47blo8qSjUpn6vEzctnoTKMvMSHionVZfjW4smmZrw0IJwoiFP45uiq6LVVbgQiiURiiUHP1kmXfIq98f1uFWMUYIvQXdoJdFgZouASOVeTcD0UnoIVu4BRV5viqdH52HA4QFc2jPvzV0xeF22nrm/dpcy8USwdaLG7YTVwsx5XroahZ4VQPk9KjF/hkHluIyx0QAuAfCwgeuSwswfv5w9vnX5ZBNXQhDDj3/duTR7/EwvN3biODYDmMQYG88YcwD4PIC/9jrnrwCuzkyfmAegU7Y/A0EQRDEgQ9EwJKtoaoBhePAooULd01ueEyRVjgYSYWXsnwCq0sPwcVZdRwAwIUWDGvD6vblKjzFSlB61Xqd5So+K0Yo6QyNKQN0rMyyh1cZqYfB7TNoXGT4nwVhRZMwlko8c9wEAt3HOBxy1wRi7gTG2hTG2paWlZaBTDYF8GQjCXLwuO/7P5Z8AANz+53+hs9ukcc9FDuc8CeBbUIpquwA8yznfwRi7kTF2Y+a01QA+ArAPwG8BfMOUxRIEQeiMjETDkKyiqf4GhgdJUrwI+qjcSxpxWed1IZ5KoyNi8JuIrkbF0NKqXZ7U1BWDz+OA3ZrzWFeOVsZDpsSUK3UVTvOUHoIBdZ+Ve0kJGFP2hXMlMSWoaGjuih7vczL0yUeOOxvAM4yx/QA+C+BBxthnel9IRK4rm+e39ihv/vHdc0xcCUEMby47Ywwcmf9fP/Gf60xeTfHCOV/NOT+Vcz6Rc3535nMPc84fzhxzzvk3M1+fzjnfYu6KCYIg9EFGokFaFQ0wrpKmVjIN7y/vOgzYyhSjQo00dUVhszBUlzt6Pil7woLR+yJrEkfvwLFitDIeMhQQunZdhQutoRiSqbTQdQqm64iQygNQEjAnBNQVoySZh7qM9zrpPgYku4WSdaFYEuF4qtRaJwaV7HLOx3POx3HOxwF4DsA3OOd/MX6p+RFNpPDdP/0TALBier3h49kIgjiePXdfkD1e9LPXzFsIQRAEUfTISDRIq6IBxlXS1ADD8GpsZ6MSUAtJ4WOo9TqPn3GbVTQIjiysMGnCQtdh8Z77YF+Ve1nGhy6kuTJC0zCScSDUJDTaknOO5mD0xBaBytHKONFYUGiJdRVOE5JS4sahffqcDHHylOwOKSb/x5rs8YNXnWHiSgiCUNn074sBAB+1hrF+Z5PJqyEIgiCKFRmJhiFZRfM4bSh3WE0KqMUq1H0Gjp46ZdyfqKIh21JiYPDIubJuYXO/WN9eBIBwAqbOa0JiKngUABdSehyLJJBI8b5bJwDxEZdeFzoiCUQTg4qV5JH1OZEwCrW0FA2DSnZ7nXst5/w541eZH3PvXp89/vinK0xcCUEQudRWuHDLstMAANc/scXY13+CIAhiyCCcaBiqVTTGWMbgz4QWAYEACein595qU8b9Cfbdq4FXS9DABEy0QzGyFAiok6k0WkOK0uM4skoPwYC6wgRPDxmjLfur3Kt7LTj6U72uoc+LumaB56W5L58TomjYsK8VzZln6vmvzy+lEaQEURJ887xTsse5yiOCIAiCUJGhaBiyVbTaClf2zawhpJKKV4CwuV8flXtACUgFEw0uuxWVZXZjEzBqEkAgoG4NxcE5TlR6uCqV8ZCyvCuM3BcpxqGZyn2/CRg5iSlDvU66DgMWO+Cu1XyJUmydKBXSaY6rfrcRAHBqnQdnnFxt8ooIguiLXKXRl3+/ycSVEARBEMWIlETDUKWuwmXseMtQQDEmFAioo4kUOrsTfQdIEkYWAiZMEpAYUJ+wL4xlEjBilXufxwHGDB6Hqq5ZaBRqP5V770gATGICxkhFw2GgYiRg0f7y1dQVg9thhcdpk7gwQgYT/n119njdd2jKBEEUK4wxrF+p/I6++kEL3jt4zOQVEQRBEMXE8E40eJ1o6oqB895DMnRCQkCtBo4nVKiBHkWD4M9TV+EyuEVAPKDuSTT0sS8SEjA2qwU+j9PgfTmiKDJbg7dDAAAgAElEQVSc2p321X3x935ebA7AUyvuXWGG0qPriHj7UTBKaoYi5P41u7PHe3Pc7QmCKE5OqfXgC2eOBQBc8uBbJq+GIAiCKCaGd6KhwoXuRArBWNKYG8oIqIMDSL4rxwDJKBBp13x9AKj1Gqz06DwMMCvgrdd8iabgAD33FaOEWwSUaxs8YUGGn0cwihHldrjs1hO/WCGegKkqt8NuZcYnpmSMQi0xI8hS4MHXPgQA/OdF02C3Duv/nghiyHDPJdOzx2u2HzVxJQRBEEQxMazfyWX7y40KqtWgTq+xfOp1havUTjQHY0inDVJ6dB1WkgyWPoLhPGnuisLCgBq348QvVowBQs3KuEgB6rwmKD0EJ5Q0dcWyk0ROoFLc00MxVTUwMcV5RtEgYV9I0VBUHGqPZI+vOWuceQshCKJgfnqpkmy48Q/vmrwSgiAIolgY1okGw/vLgwHA7lbk8Bppyvbc99M6od5HgLoKF5JpjvaIWGCeN8GjEgLHKHweJ2x9VUErRgLgQEhs3ndthQstRioaggHxUagDVe69o4Cg+Ax0Q5UekXYgFRdSBXHO0dQV7bv9iDCNs+9/1ewlEAShkSvnjs0eh4xSiRIEQRBFDSUaYGB/efCoUrkXGNXW3BWFw2ZBZZn9xC+qrQdBMemimsQwbl8CQm0TwCAVau9I5W/BRENdhROtoTgSqbTQdfIilVRUGOraNTLwvtQDsU4gHha6h6GeHuqzLfC8dHUnEUumSdFQpOwjbwaCGJL4PIqicPZdL5u8EoIgCKIYGNaJBrWiaaiiQTigjqKuwtn3XHl13J+gokEdEdlsZPDokbMvfSItAaPsS4sRI1HDzQC40POSSnO0hGID7EsmiSFBAWNoUgoQSsCo6osTRqESpnHFr9/OHvepSiIIouh587ZFAIBowoBkPEEQBFH0DOt3dG6nDV6nzXhFgwAD9tzbHEC5T1pAbci+xCNAtFN4X5qDsf4DR2kBtYFKj2zlXntA3RaOIZXmAysaAOF98XudCEaTiMQNkMtKUDRkfU6odaJo2PixYmD75PVnmrwSgiC0kms6/MibH5u4EoIgCKIYGNaJBkAxhGw2or+c84yiQVAKP9hYPu9I8cDRY6DSIyReoY4lU2gPx/tPwJT7lKkWggmYWq+Bnh7Zyn2d5kv0jEIdLAEjJzFliAJG3ReP9n3p8TkhRUMxsPXAsezxglN8Jq6EIAhRHvvyHADAT/6+0+SVEARBEGYz7BMNhvWXx7qAZLdw5b6lKzbwWD5vvXCiwWGzoMbtMMbgTzUjFNiXluAABpkAYLFI2ZdsQG3IvogrGnomlAzWUjLElB7lNYBNuxpBXSeNtywOLnvoLQDA5HqvySshCEKUc0+rzR4HOg00TyYIgiCKDko0GNVfLqG3PBxLIhhLDqJoEA+oAaV/3ZCRhVIC6jwq1N564cp9jdsBq4UZ97wwC+D2a77EoPviqgRsZfJabYzwrpCgCmruisLrsqHcYZO0KEIruSN0X7r5bBNXQhCELOaOrwYAzPvpKyavhCAIgjCTYZ9oqK1workrBs754CeLIKG3vHmwyj2gBGHhZmVqgQB1Fc7s/XQlm4ARUTTkUaGW0FJisTD4PU6DWieOKu0BFuvg5/aDmhDx9+dFwJgcpYdXbZ0wKDEl0DYBDDKJgzCUhjvXZo/7NLglCGLI8cxX55m9BIIgCKIIGPaJhjqvC/FUGh2RhL43kuGWnzWxG6Ryz9NAuEXzfdR7GCaFtzqBsirNlzBK0aDcw2mcokHYIDMKn8cB+0Au/hISMBVlNjhtFgP3RYbPCbVNFAOReAoAsH7lOSavhCAIWVgsPUnDO17cbuJKCIIgCDMZ9okGtQquux+BGuQKmdjlWbnPvZ9GaiucaAkqUwt0RQ2oBaqZTV1R2CwM1eWO/k/y1gPdx4CE2L9zrZGtNsItAjH4B0pKAVISMIwxY7xO0ikg1CSegOmK9W+QSRjGX/95JHt8Sq3HxJUQBCGb1d9WWqGeePuAySshCIIgzGLYJxrUCQutwbi+NwoGAGcF4NT+hlo1PfR7Bqncq/cTwO91Is2B9rDe+3JUOKBuCcZQ43EcV0U5AfUeIfF9aQ3pvCeAlFGoLaFY/20TKqqiQbB1yO91Zp9P3Qi3AjwltC+cc7SEYqil0Zam8+2n3wMAXDZrjMkrIQhCNlNHVWSPdwe6TFwJQRAEYRaUaMgEHC0hAxQNEgJHh9WCirIBTOwkKRrUBIzuwaOEFoH8AmpJCRiPE8cicSRSaaHrDEgyBkTapCRg1H/HfvHWA4kwEAsK3cvncaA1pPezIm4c2hVNIp5MwzfYvhC60p1pmQCA//O5T5i4EoIg9OILZ44FACx/4A2TV0IQBEGYwbBPNPi8BioaBAPq1mAcPo9jYNM0t1+ZViAYUGf3RffgUbxFoDUUGzxwlJSA8Xmd4HorPULiIz8558q+eAdoJwFy9kVc6dFixLMCCD0v6vM8aGKK0JUpd6wxewkEQejMPZdMzx6n9W7DJAiCIIqOYZ9o8DoVIzv9gyQJLQL5VO6tNsBdOzQUDbEgEA+KKxryqtxLCqiN2BcJAXVndwKJFM9P0QCIJ2A8TnREEogndVR6SJjcov67kaKhOHj3P5aYvQSCIAzg6kc3mb0EgiAIwmCGfaKBMQafx4lWPQNHziUpGvKo3ANSRhYaomgIqpV77QF1Os3RFopn19svZVWA1SGegMkoBHRNTEkIqPOu3EtUNABAW1jvBAwDPLWaL0GKBvP5n/V7s8fV7kEUNwRBDGne/v4iAMCb+1pNXglBEARhNMM+0QAYIPvuPgak4sYoGgApIwvdDivK7FadK/fiAXVHdwLJdB6Ve8akJGBUI05dE1MSFA3NWePQwRINmSkokhQwurYgBY8qrUFWu+ZL9CgaKMA1i/9evwcA8P0LJpu8EoIg9GZkZVn2+M29lGwgCIIYTlCiAQY45ksIqFNpjvZwvABFg/jIQp9XZ4M/o3vuvSMleDQYpGiw2IGyas2XUCdjDLovTi/g8EpTwOhqqipDFRSKwWphqBpoFCqhG805o2G/ds5EE1dCEIRR/GDFFADAFx/ZaPJKCIIgCCOhRAOUfm19A2pxt/xjkThSaZ5/QB1pBZJi1WW/R2elh9E99xIUDeUOG9wOq86V+0xAbdH+61n4vgwRRYOMUajuQUahErox955XzF4CQRAG89WFE7LH0URqgDMJgiCIUoISDVCqvu1hJZDXhWzlXrznPu/AEeiZXqARv9epf0BtdytVdY0UrmgQSzQASvVe9wSMhMq93cpQWZZHm4GMlpKsokFnBYzwvsRL2p+BMbacMfYBY2wfY+z2Pr5+FWPs/cyftxhjpsyW/OCu5WbcliAIk3BYlbeb5/7Xa+YuhCAIgjAMKYmGofLmtj/8HgfSXEcjO7Va7BGv3OcdUAPicngjFA3eesU/QSMt+XoRAMq9Yl1ALKT5fuq9dPdokDCJo8btzK9yL0HR4LJb4XXa9GtBSiWAcIsURUOpTpxgjFkB/ArABQCmAriSMTa112kfAziHcz4DwE8A/Mao9X39D1uzx06b1ajbEgRRBGz9j/MBAIEuHdvrCIIgiKJCONFQ7G9u80EN3nWr3gcDytQDu0vzJXoUDXn0lksaWej3OnEsEkcipdPIwmBAikGmw2pBRZlt8JPVewkqPYxJwIjtS2u+xqFAj6KBiyl6dFV6hJoBcClKjxJWNMwFsI9z/hHnPA7gGQAX557AOX+Lc34s8+E7AMYYtbiXtiuJz19/6QyjbkkQRJHgdfWo657dfMjElRAEQRBGIUPRUNRvbvNBrXDqFiTJCKhNUjRwDrSH9UrAiLcIKBVqB1g+qgiJCRjdPD3iESDaKW1f8sI7EkjFlOkoAuiq9JBgHMo5R2uodBUNAEYDyH0H35j5XH9cB+Clvr7AGLuBMbaFMbalpaVFeGG7jnZlj5dNE3u2CYIYmjx41SwAwK3Pv2/ySvSBMVbNGHuZMbY383dVH+ecxBh7lTG2izG2gzF2sxlrJQiCMAIZiQZpb24B+W9w8yHbX65bkCSj5z4Op80CjzOPyn15DWCxSQmoAZ32hXPje+4lJWD8Xic6IgnEkzooPULiATWgQdEASJg84dAxWSduHNrZnUAilaeh6tCkr2xbnzIVxth5UF6Lb+vr65zz33DOZ3POZ/v9fuGFXfA/bwDIM1FKEERJsmJ6z/9ruhUwzOV2AK9wzicBeCXzcW+SAL7LOZ8CYB6Ab/ahAiYIgigJZCQapL25BeS/wc0HtcKpW5VakqLB73XmV7m3WBQ/CAmKBkAnpUe0E0h2G9tz76lT/pa0L7p4ekgwDk2nOVpDeY5CBXISMOKTJ/RTNIhPbilIFTQ0aQRwUs7HYwAc6X0SY2wGgN8BuJhz3qb3onhOS86mf1+s9+0IgihiJtcr5s+zfvKyySvRhYsBPJ45fhzAZ3qfwDk/yjl/N3McBLALAxfnCIIghiwyEg1F+ea2ENxOG8odVn0q9+m04gkgobe8IMm3t76nOq6RWj0VDapPgpE9965KwFZW3EoPCS0CHd2J/EehAvIUDR4nuqJJfcaXBQMAswJun+ZLtBTiczI02QxgEmNsPGPMAeDzAP6aewJjbCyAPwP4Eud8jxGLOifHZT6vRClBECXL3276pNlL0JM6zvlRQEkoAKgd6GTG2DgApwPYOMA5hqt8CYIgZCEj0VCUb24LxefRqe8+0gakk9IUDXkjYWShrkoPCRXqVJqjrZAEDGOS9kUJVPXZF3FFQ8GVe4887woAaNNDEhsMKIoUi/ZpBeq+1JaoooFzngTwLQBroVTJnuWc72CM3cgYuzFz2h0AagA8yBjbxhjbove6DrZHAAAvfOMsvW9FEESRY7f2vO1sPBYxcSXaYIytZ4xt7+PPxYN/93HX8QB4HsC/cc67+jvPDJUvQRCELPJo+B8YznmSMaa+ubUCeFR9c5v5+sM4/s0tACQ557NF7y0Tv9epU4VaHW1ZJ3SZ1lAMp489wVeof7z1wIENQvcsc1jh0WtkoYSA+lgkjjQvUArvHSnFowHQS9FwFLA6AdcIzZfomVCS5744ygFnpdR9GT2iTOhaJxA8CnhFf4eUBEgJm0GCc74awOpen3s45/h6ANcbvS4Ahb1+EQRR8jy7pRErl5xq9jIKgnN+fn9fY4w1McZGcs6PMsZGAmju5zw7lCTDk5zzP+u0VIIgCNORoWgA53w15/xUzvlEzvndmc89rL7B5Zxfzzmv4pzPzPwpqiQDoFSpdalQS2gRSKbSaAsXYHoIKFXq7mNAUuxnUvZFpwo1IJSAUQP9ggJHT61wS0mP0kOHfQk1KQG1gMRckxeBt07evujSatPco7zQSEswBruVobLMPvjJBEEQhC5ccrpiSfDMpoMmr0Q6fwVwTeb4GgAv9j6BKdW2RwDs4pyvMnBtBEEQhiMl0VAK6KdoUAPqAVv1BqQ9EgfngL+Q3nL1fmqiQyPKvkSFrtEnoSbA7gacHs2XUBNDhbeUiO2Jy26F16Wj0kOC+gUoNAFTpwTzAmQVDbok7AISFA1Kmw35BBAEQZjH5+cotl7NepkHm8e9AJYwxvYCWJL5GIyxUYwxVWm2AMCXACzKtK9tY4ytMGe5BEEQ+iLcOlEq+D0uHIskkEilj+shFEatEgtUY1uDSuW84IAaUILqEWM139vncWJvc0jz9/dLUDxw1FS599QB8SAQDwMOt+Z7+z1OnQLqJqDmFKFLtARjcNgsqHAV8OvtrQcObRK6b43qXSH7zWMqCYRbhRMwBfucEMIc6eg2ewkEQRQZc8dXm70EXcgYnZ8wWodzfgTAiszxm+h7WhtBEETJQYmGDD6vEiS1heKor3TJu3CoWZl2YNd+zRatFWpAiqLhrQ91GBIiQQrfqmWKgJqACTUB1RM039unpwJmnJgrd0soBn+hlXtPnbInnGtu23DarKgss8tPwISbAXApSo+6Com/28Sg/M/6vWYvgSCIIoNUZQRB6EEikUBjYyOiUR2U2ARcLhfGjBkDuz3/FmRKNGTw50xYkJpoCAbEA2pNPfdqQC3ed9/ZnUAsmYLTpt3x/wRCAaB+utAlWoIxuOwWeJwFPMZqsBoUSzT4PU7sCvRrFK2NZAyIdkjxIvAVWrn31AHJKBDtBMq0G1Hq4nUiwTgUUPalYVSlhAUR+fLHLYcAADXukh0pShAEQRBEEdDY2Aiv14tx48ZRQlMynHO0tbWhsbER48ePz/v7yKMhg0+vSQKquZ8AmhQNbj/ALMJ+BNmRhbKND4NNEhQN8cJ77rNKD/EJC7o8K4CQnweg7EtBfh7A8UoPAfTZl4x3hMDzkk5ztIXjWeUSYSy3LZ9s9hIIgihCUmlu9hIIgigRotEoampqKMmgA4wx1NTUFKwWoURDBlXRIF32LcPcLxhDucMKdyGVe4sVKPeJB9Q5Sg9pxMOKT4JgQK2p5z7Xu0IAn8eBYDSJaCIldJ3jCIpPKAE07oukVhufxyl/GkdI3FD1WCSOVJpnn2fCWC6dNdrsJRAEUYS8sbfF7CUQBFFCUJJBP7TsLSUaMvj1UDRwrgRuoiZ2Gbf8gvHWiQfUeuyLJCl8q5Z9KasGLDYpigZ1DdIIiY/8TKU52sMa9kVSAkYXRYO6JoF9UZMffi95NJiBTabBLkEQQ55xNeUAgKdLb8QlQRDDmEAggM9//vOYOHEipk6dihUrVuD111/HZz/7Wc3XfOCBBxCJRLIfr1ixAh0dHTKWqzv07i+Dy26F12mTGzjGupS+dwkBtSa3fE+9FCm8ugZpZKXwJkwRsFikjnKUWr2XkIBpD8eR5gX6eQDSWkp8HidCsSS64xKVHqGAkiCyaW97UJMfBRmHEgRBELrw+bnKNKy1O8TeoxAEQRQLnHNccsklOPfcc/Hhhx9i586duOeee8AYw3PPPaf5ur0TDatXr8aIEdr91IyEEg05SJ8kkK3ESjD30xIgeeuEEw2qiZvUfQmJB9TJVBrtkbg2pYenrieo14h6X7n70qz4arj9mi/RqsXPA1Amo1idwvuiS2Iq2CQlWQdoSMAQmuGceq8Jguiby2aNMXsJBEEQUnn11Vdht9tx4403Zj83c+ZMnHTSSWhoaAAAPPbYY7j00kuxfPlyTJo0Cbfeemv23HXr1mH+/PmYNWsWLr/8coRCIfz85z/HkSNHcN555+G8884DAIwbNw6tra0AgLvvvhunnXYazj//fFx55ZX42c9+BgA499xzsWXLFgBAa2srxo0bBwBIpVK45ZZbMGfOHMyYMQO//vWvdd0TmjqRg9/j1EcKL2gG2RqKa5s77alXgtd0SvFs0IDLbkWFyya5ci+egGkPx8G1VO4BJdHQeUjzvQEdWyfKfZr/rYCexEfB+8JYJjElqPTI8To5qbpc6FpZQk1S/DwAFD6Ng9DM2h1iSSuCIEoXSvoSBKEn//m3Hdh5RO50uKmjKvCjC6f1+/Xt27fjjDPOGPQ627Ztw3vvvQen04nTTjsNN910E8rKynDXXXdh/fr1cLvduO+++7Bq1SrccccdWLVqFV599VX4fL7jrrN161Y888wzeO+995BMJjFr1qxB7//II4+gsrISmzdvRiwWw4IFC7B06dKCJkkUAiUacvB5HfggEJR3QQm95YlUGu1hgco9TwGRNqFATbrSIxRQfBLKqjRfQjXtLHi6AqAE1I2bNd8bAGrcenhXiE8o0axoADKJKTmKBrnPSxNQc4rQJVpDMThsFngLMVQlhLhvzQdmL4EgCIIgCKKoWLx4MSorlXHrU6dOxYEDB9DR0YGdO3diwYIFAIB4PI758+cPeJ033ngDl1xyCcrLlcLeRRddNOi9161bh/fffz/bytHZ2Ym9e/dSosEIfB4nNoTa5F1Qgrlfe1hREmg2gwQyky8EEg0ep9xpHMGMQaZFe+eOqrDQHFBHWoFUArDaNd3fYbOgsswuX9EgPPJTwIvAWwe07BG6v0/2lBLVUFXCiFh/oaNQCSE+bg0DAC5oEHumCYIgCIIgCmEg5YFeTJs2LS8vBqezJ3axWq1IJpPgnGPJkiV4+umnC7pnf+9rbTYb0uk0ABw3kpJzjl/84hdYtmxZQffRCnk05ODzONHZnUA8mZZzwVATYHMp/e8a6TGx0xhQA1Lk8HIDavFJHK0i+6IGrWGxsVo+j0MHLwLxNhunzQKPlsq9BEVDdcbTozUoqdWm+xiQiktIwMTJCNIkvrv0NLOXQBBEESN9UhFBEIQJLFq0CLFYDL/97W+zn9u8eTMOHDgw6PfOmzcPGzZswL59+wAAkUgEe/YoxT+v14tg8ETF/cKFC/HCCy+gu7sbwWAQf/vb37JfGzduHLZu3QoAxyU/li1bhoceegiJRAIAsGfPHoTDYQ0/bX5QoiEHNWhtC0v6T0+t3AtUUXtM7DRWqAEJkwQc2cBeCiF55n6aeu7VoFWCIaS0gDqdUhIfEhIwPq2Ve08dEO0EEtHBz+0HVekh7XdINTMVTcAENY6IJYQ5pdZj9hIIgihinn+30ewlEARBCMMYwwsvvICXX34ZEydOxLRp03DnnXdi1KhRg36v3+/HY489hiuvvBIzZszAvHnzsHv3bgDADTfcgAsuuCBrBqkya9YsXHHFFZg5cyYuu+wynH322dmvfe9738NDDz2Es846K2scCQDXX389pk6dilmzZqGhoQFf+9rXkEwmJe3AiVDrRA5qxbMtFMfIyjLxC4YCwgF1m1CLQE7rhAA1Hie6oknEk2k4bBJyU8EAMGaO0CVaQzG47Ba4HRqME7OjHMUmcvg8TuwKSDKaibQpfhqiE0pCMe2Gh96cfak6WfMapCo9guLtR4DyvEwfrV1ZRBAEQchl+bR6rNkRwNObDuLGcyaavRyCIAhhRo0ahWefffaEz2/fvh0AcO211+Laa6/Nfv7vf/979njRokXYvPlED7mbbroJN910U/bj/fv3Z49/8IMf4Ac/+AEA4M4778x+fvLkyXj//fezH991110AAIvFgnvuuQf33HNPYT+YRkjRkENNjmO+FILibvlqwFajJdFgLwOclVICakCS0iOVUPwRBAPHtlAcNW6NlXuvnASMVKVHUM6EkrZQXJtBJpDTaiP+vEhTeoTEJ5Sk0xxt4Th8WlRBBEEQhC5ceeZYAMCBtsggZxIEQRBDEVI05KCO5pMWPIYCwPiFQpcQqtwDSuAqIaAGlL57YaWH6hchwdxPc+XeXXv8WjTiyyg9YskUnDbtIymVtYgH1IBg5V5WAsbrxC5ZI4UkJGA6uxNIpXl2UgihP9RzTRDEYHzyFN/gJxEEQRB5katoKBZI0ZCDWvFUJxoIkYgq/e4SzP0099wDinJANKD2SpwkIC2gFqjc2xxAeY24d0VmX9pkPC/ZFgHtChjhyr0kRYNf5pSSUBNgdwNOr+ZLCPl5EJr41av7zF4CQRBFjtVCU4AIgiBKGUo05FDusKHcYUVbUQXUgiZ2XvFJAn6ZLSWyzP1E98VTr7S2CFCjTliQui/an5eOTOVe8764fQCzCCcaatwOBDNKD2FC4u1HLSIjPwlNPPbWfgCAy07/xRAEQRAEQQxH6F1gL2pkGdlJCBwBCWP5PHVKQM255kvU5JhkCpOt3Iv13LeH49l1acJTW1yKhlCT4qdh196akq3ca000WKyA2y+ldQKQ9bzImFCirMNPUycM57blk81eAkEQQwAu8B6FIAiCKE4o0dALn8cpp3VCghQekFG5rwOS3UBMe8+8qvSQmoBx+zVfQrhyDyjBq6CiQarSIxiQovIAIJiAqZNmHirneQlIGfkJCCRgJMIYczHGPssY+x/G2J8YY08wxm5ljE0ze2168IWM2RtBEMRAbPy43ewlEARBEJKhREMvlERDcbROqJV74YAaEA6qpe1LMKD4I9i0B8PClXugJ6AWqKLIDaibJIxwlFC599ZLSDRIbCmRoGhoC8dgtTBUltnF1yMAY+xOABsAzAewEcCvATwLIAngXsbYy4yxGeatUD7CJqkEQZQ0tRkF3DObDpq8EoIgCHGsVitmzpyJhoYGXH755YhE+p+q09HRgQcffFDofo899hiOHDmS/fj666/Hzp07B/yec889F1u2bAEAjBs3Dq2trUJrGAgpiQbG2HLG2AeMsX2Msdv7+DpjjP088/X3GWOzZNxXD6QpGkJNSr+7W7ur8rFIPFO5F6xQq+sRwCetpaRZ3LdCRoXaWw+kE0D3Mc2XKHNY4XZY5YxyDBZJ5V5ttREgm4AR3Zd4GIgHxVVBwThq3A5YzDce28w5P4Nz/l3O+VOc8/Wc879zzldxzi8EcBUAISOJUnotJgii9LlyrqJ6+su2I4OcSRAEUfyUlZVh27Zt2L59OxwOBx5++OF+z9Uj0fC73/0OU6dOFbqmTIQTDYwxK4BfAbgAwFQAVzLGev+EFwCYlPlzA4CHRO+rFz6PA+3hGFJpwX7BYEAZo2jRXtFTEx41MhQNogZ/HqecgDok3iIgxdzPI2eUY40MpQfnSgJG2IsgBpto5d5TB4SbgbR2I8dsoiEsuC/FYqgqCc75/wMAxtjlvb/GGLucc97MOd+i9frF8lpMvdYEQeTL5+acZPYSCIIgdOHss8/Gvn3KFK5Vq1ahoaEBDQ0NeOCBBwAAt99+Oz788EPMnDkTt9xyCwDgv/7rvzBnzhzMmDEDP/rRjwAA+/fvx5QpU/DVr34V06ZNw9KlS9Hd3Y3nnnsOW7ZswVVXXYWZM2eiu7v7OLXCunXrMH/+fMyaNQuXX345QqHQgOv9wx/+gLlz52LmzJn42te+hlRK3NTdJnwFYC6AfZzzjwCAMfYMgIsB5Oo2LgbwBFfegb7DGBvBGBvJOT8q4f5S8XmcSHNFTSAUnISahAPqNlktAoC4wZ/HifcOaq/+Zwk2Ab7ThC6hJmCk7EsoANRpz0nH2wgAACAASURBVPz5PA60iQbUsS7FR0O4dSKGatHKvbce4Gkg3Kr5+ZWm9AhKnFBSXKMtvw/gT3l8rlCK4rX4f/e0yLoUQRAlzugR2g2QCYIg+uWl24HAv+Res346cMG9eZ2aTCbx0ksvYfny5di6dSt+//vfY+PGjeCc48wzz8Q555yDe++9F9u3b8e2bdsAKImBvXv3YtOmTeCc46KLLsLrr7+OsWPHYu/evXj66afx29/+Fp/73Ofw/PPP44tf/CJ++ctf4mc/+xlmz5593P1bW1tx1113Yf369XC73bjvvvuwatUq3HHHHX2ud9euXfjjH/+IDRs2wG634xvf+AaefPJJXH311UJbJiPRMBrAoZyPGwGcmcc5owHITTT8+QalOnzZbzVfIrfvXiiQDQaEK9Rq5d7vFajcuyoBm0vCiEsH2sNKK4fm2decSxlX2Cajci/Ru+JAW//9V3mhrkEw0dAWEkyO5a5BUHni80pQeqjPrATviol+j9haJMAYuwDACgCjGWM/z/lSBRSfBlGK4rV41ct7ZF2KIAiCIAhiyNDd3Y2ZM2cCUBQN1113HR566CFccsklcLvdAIBLL70Ub7zxBi666KLjvnfdunVYt24dTj/9dABAKBTC3r17MXbsWIwfPz573TPOOAP79+8fcB3vvPMOdu7ciQULFgAA4vE45s+f3+/5r7zyCrZu3Yo5c+Zkf47aWrF4DZCTaOgr6uytnc3nHOVExm6AIunF2LEFOpZHu4DOxsK+pxdZI7tgHBDJE4SagJGfEFqLlMo9Y0pgLxpQexWlR3s4Dr/W6nCkXfFFkNAiUOMRrNzL8q7wOrH1gKDSQw2oi6Fyn221aRa6TI1bgqdHULx1gnNeTIqGIwC2Argo87dKEMB3JFxf2muxyOtwrdcFoLOg7yEIgiAIgpBGnsoD2ageDbnk21LKOcf3v/99fO1rXzvu8/v374fT2fM+1mq1oru7e9BrLVmyBE8//XTe977mmmvw05/+NK/z80WGGWQjgNwmuzFQ3lAXeg4AgHP+G875bM75bL+/wBGInlrhyr3qhyAkh0+ngHCLtJ77CpegW75HfJJAjVvChIWQnMp9q4zKvdMDODziiQa3A+2ROJKptPaLqEG9sBdBXMy3ApDaaiNF0WCxKVNKtF4ilkQsmRbfFwlwzv/JOX8MwCmc88dz/vyZcy6hL0nea7HI6/Aty8RaowiCIAiCIEqFhQsX4i9/+QsikQjC4TBeeOEFnH322fB6vQgGg9nzli1bhkcffTTrpXD48GE0Nw9c+Ot9DZV58+Zhw4YNWY+ISCSCPXv6V5wuXrwYzz33XPZ+7e3tOHDgQME/a29kJBo2A5jEGBvPGHMA+DyAv/Y6568Ars44ns8D0KmLP4O3XuktT2lXIaujAVuCAkFSuFXpc5cwRUC4cg8olfJiGFmYrdzLUDRIqFB76sQDaq8TnAPtEQE/gqC4ooFzjhYZpoe5rRMC+LxOtIlObwk1ZwxVtb9MSVEFSYIx9jfG2IX9fG0CY+zHjLGvCNyiKF6LT6v3yrwcQRAlzOb97WYvgSAIQldmzZqFa6+9FnPnzsWZZ56J66+/HqeffjpqamqwYMECNDQ04JZbbsHSpUvxhS98AfPnz8f06dPx2c9+ts8kQi7XXnstbrzxxqwZpIrf78djjz2GK6+8EjNmzMC8efOwe/fufq8zdepU3HXXXVi6dClmzJiBJUuW4OhR8beHwq0TnPMkY+xbANYCsAJ4lHO+gzF2Y+brDwNYDaU3eR+ACIAvi963Tzx1ALiiJqgYqekSFWU2OKwWsRGXknrL28ISKvfqOj5+Q+gSqvRcKHiU5EXQGozhlFoJPfceGQmYnn1RJOMaCAUAqxNwjdC8jmAsibiMyr3dpfh6SPCuUJUeNqvGREFQfEKJmhiTkpgS56sAVgL4b8bYMQAtAMoAjIPy2vhLzvmLWi9eVK/FBEEQeXD/mv7f+BIEQQw1+pvssHLlSqxcufKEzz/11FPHfXzzzTfj5ptvPuG87du3Z4+/973vZY8vu+wyXHbZZdmPX3vttezxokWLsHnz5hOulXtOrtfDFVdcgSuuuKLP9WtFhkcDOOerobyBzf3cwznHHMA3ZdxrQLL95QHNiQbGGGo8gv3lWbf8IhnL56kHoh1AIqoEkhrINcnUjIQEDOccreF4VnkihLdO2JFWyr4EMxNKmHblSpvMyr2EVhufx5FVemhPwDQBlWKjz1qDEkahSoJzHgBwK2PsEIA3AbgAdAPYwzkXdBTN3qM4XosJgiDyYPN+pWts9slVJq+EIAiCkI2M1oniwSNvkkBbMXgRBCUlGtSqcFi7wV+FS1F6tAjtS7Pii+DUrkboqdxLCqgFn5UaWS0lEkZbApISDVJabTIJGJERl8GA8IQSdV+kJKbkUQdllOV3oFjODuzoM4Q5FhZsnyEIYlhw6/LJZi9BGMZYNWPsZcbY3szf/WZPGGNWxth7jLG/G7lGgiAIIymxREMmKBE2hHSY3jqhuOVLMPcDpCRgskoP4cBRPPkC9AT4QnjrgHgQiIc1X0JKQB1qlrYv0lptJJhBAgIJmFQCiLRJUAUp/y7VbvMVDSqc8x8CmATgEQDXAtjLGLuHMTbR1IXpwEP/+6HZSyAIYggwd3y12UuQwe0AXuGcTwLwSubj/rgZwC5DVkUQBGESJZZoUI3sxEbzCTvmB5uUPneNbQoA0BVNIp6SVbmXk4AR3pdQk5SJE+pahJEwYUFVeog9LwEpbTaApBYB1bsiz3E8faGuQ/P0lnALAC5F6VFVbtfuE6ETmRaGQOZPEkAVgOcYY/ebujBJqP61v3n9I3MXQhAEYRwXA3g8c/w4gM/0dRJjbAyATwH4nUHrIgiCMIXievctis0BlFVLqca2heJ5zz09gVBAeFSh2rrh88qo3KuKBtF9cYiN/ZRo7ic10SDQJsAYg09EAZOIKv4Zgs9LSygOxiRV7r31QDIKRDs1X0I1D9Ws9MhO4igSnxOJMMa+zRjbCuB+ABsATOecfx3AGQAuG/Cbhwi3lYAMmiAIokDq1Ck+mb/76/17AMCtAATmYhMEQRQ/pZVoAJTARIKRXTyVRldU45jMULOEgFpi5d7tB5hFjtJDuEWgCBMwgs9LjYjSQ7234PPSFoqhqtwhp3LvEd8Xr1NQ6ZH1ORFvnSi2RAMAH4BLOefLOOd/4pwnAIBzngbwaXOXJodrzhpn9hIIgihyInHto8jNgjG2njG2vY8/F+f5/Z8G0Mw535rn+TcwxrYwxra0tLQIrZ0gCMJoSi/R4Kk1v788KK5oyI7lc0sIkixWJdkg7F3hRFs4pk3pEQ8rfgiCAXW2cl9eHN4VADKKBq0BdSb5I6FFQNpkBa88pYdm89BsokHcDFJVVxQLnPM7OOcH+vlaSfTsuuxWs5dAEESR8/sN+81eQsFwzs/nnDf08edFAE2MsZEAkPm7r+rOAgAXMcb2A3gGwCLG2B8GuN9vOOezOeez/X6/Dj8RQRCyaGtrw8yZMzFz5kzU19dj9OjR2Y/j8RMLte3t7Xj44Yf7uNLxJJNJjBgxQo8l604JJhpkKBpU2beGIIlz5f6yWgRkVO6BjMGfeECdSHF0dicK/2Y1+SMhASOtcl9WBVhs5npXSDAOBZTKvZSkVO5aRJ8Xr1N7S0lQzuSWNlmGqgRBEIRU/mvtB2YvQTZ/BXBN5vgaAC/2PoFz/n3O+RjO+TgAnwfwD875F41bIkEQelFTU4Nt27Zh27ZtuPHGG/Gd73wn+7HDceJ70XwTDUOZ0ks0eCUY2XnVkYUagqRop9LfLmGKgLTKPZAx+BMLqP1eAaWHrAp1UGLl3mKRk4DxKp4e6bSGZ06mF4Gsyn3Wu0KG14lAAqasWvFd0Ug0kUIolizG1olhhWavG4IghgXfPK9kBu7cC2AJY2wvgCWZj8EYG8UYW23qygiCMJX7778fDQ0NaGhowC9+8QsAwO23344PPvgAM2fOxO23346uri4sWrQIs2bNwowZM/D3v/c9/fbee+/F3LlzMWPGDPz4xz828scoGJvZC5COpx5IxYHuY0C5tnFJQq0TWSm8YOAYjqNaVuUeUBIwTduFLtGzL3GcUmi+IOtFUGTmfuqEBQF8HieSaY6uaAIjCk0MhZoU/wy3mCRSagLGVQnYXMItSDVuB3Yc0WgoGWwSflZaghIncRCaefujNpw10Wf2MgiCKFJuWFgaiQbOeRuAxX18/giAFX18/jUAr+m+MIIYhty36T7sbt8t9ZqTqyfjtrm3Ffx9mzZtwpNPPolNmzYhlUph7ty5OOecc3Dvvfdi37592LZtGwAgkUjgxRdfhNfrRXNzMxYsWIBPf/p4667Vq1fj4MGD2LhxIzjnWLFiBd566y2cddZZUn5G2ZSmogEQCh6ryh2wMK2JBrVCLa5oqJEZIHnqlSRIOqX5Eup6NO1LUI65X1s4jhqZiQZJ5qGAgNLD7Vd8NDTSHU8hHE/JS8AwJicBI6L0CAWk+FYAkgxVCc3cv6bk5NEEQUikssxu9hIIgiB044033sBll12G8vJyeL1efOYzn8Gbb755wnmcc9x2222YMWMGli5dikOHDqG1tfW4c9atW4eXXnoJp59+OmbNmoV9+/Zhz549Rv0oBVOCiga1vzwA1E7RdAmrhaHarbG/XFJALb1y760HeAqItGluX/CLeFeEAoDFrvgiCCC1cg8oe3Fok9Al1H1pCWpQegSbpBgeApIr9xKVHp3dCVQVOnYz1AzUTBK6v9TJLUTBzJ9Qg7c/asO2Qx1mL4UgCIIgiGGEFuWBXuTbQvrEE0+gs7MT7777Lmw2G8aMGYNoNHrCtX74wx/iuuuu02Op0ik9RUN2NJ/oKEdHVnpdEFlzP7HgsSUUy3oiSEFdj4AcvqrcAauFaZskoAbUFu2PXCSeRDiekrwv9UCkFUhpMLjMoHojaNqXkPiEEvW+UvfFK+5d4de6L5INVaXuC5E3ty4/zewlEARBEARBmMrChQvxwgsvoLu7G6FQCC+++CLOPvtseL1eBIPB7HmdnZ2ora2FzWbDyy+/jMOHD59wrWXLluGRRx5BOBwGADQ2Np6geigmSk/R4JVjZOf3apwkEAwo/e2uSs335pyjNRjPVsqlICEBY7Ew1LgdaA1qUHrIkMJn7it1X9TnJdwCVIzSdAkhpUewCaifrum+KmpCzO9xCV3nODz1wMevC10i21ISjOHUOm/+39h9TPFZEU3AZPZFagsSkTenjxVTLxEEUbpsP6zRv4cgCGKIMXfuXFx55ZWYM2cOAODrX/86pk9X3vvPnj0b06dPx6c+9SmsXLkSF154IWbPno1Zs2Zh0qQTlb0rVqzA7t27MW/ePACA1+vFU089BZ+vOL2wSi/R4PQCdrd4NdbjxEct4cK/MdSsBNSMab53OJ5CdyIlb4oAIC0B4/M4NVbum4ERY4Xu3RJS5ENS90UNZoMBzYmGyjI7bFqUHumUkuCQ0GYD6KBoiHYCiW7AXqbpErVaFQ1BST4noRgqy+xw2rT7XxAEQRDyKcHRlgRBEFnuvPPO4z6+9dZbceutt55w3h//+MfjPt64cWOf1+vo6GlDXblyJVauXCm+SAMovdYJQJHoS1I0FDyaLRQQn6yQrVBLnq4ACE8SEFJ6CCoaWvRUNAj4EVgsDD6Ps3BFQ6RN8c2QNF1Brnmo+L6oCouCW5BCcnxOWmT7eRAEQRBS+N89LQCAKSMrTF4JQRAEoRelmWjw1gsrGnweJ2LJNIKxZGHfKMHcT60AS63c28sAZ6UUg7+CA8dUQvFBEE006FG5l5SA8Xkd2iv3Eswgq8rtsMsahQpIabWpKLPBYbUUvi/ZRIO4ooH8GYqDUKGvowRBDAtuIy8XgiCIkqU0Ew0SHPOzRnYFV2PFzf10UTQASvVewr4UrPRQg1UJIz8ZA6oLnWAwEO5MkC9oHur3aFB6SK3c6/CsAEIJGMYYfB4Nnh6SWid02RdCE4+++bHZSyAIogg551S/2UsgCIIgdKI0Ew3eeimVe6BAg79EVOlrFw2QsooGybJvj/gkAZ/HgURKGVmYN7IC6lAMVeUOuZV7mwMor5HjXVFoUkqaF0FcfuU+q2gQfF68Gjw9Qk2Kz4qzAAPJPtBlXwhNrHq5eGc8EwRhHkzAz4ogCKI3Bbe8E3mjZW9LM9HgqQViXUA8ovkSmkbzSQqoW4MxWBhQ45Zdpa6X4l0BoLDqvbovEhQN0lUegPLvJWGUY1sojnS6EKWHnBYBXSr3bh/ALOKeHlq8KySMtuyOpxCKJUnRYDLfXnSK2UsgCIIgCGIY4HK50NbWRskGHeCco62tDS5XYRPuSm/qBJBTjQ0A1RM0XSJ3NF/eyAocQzFUux2wWiRn+lVFA+eap2KogX5zMIZTavOsOGe9CMT3RZcKtQTzUJ/HiWSao6M7kX9rR6hJ8c3QONVBRRcvAosVcPul7Mv7hY4xCzYV5yQOomCuXzgBP//HPrOXQRBEERFLpsxeAkEQJciYMWPQ2NiIlpYWs5dSkrhcLowZM6ag7ynNREN2kkCz5kRDVbkS6BekaJDWWx7XpxLrqQOS3Yraw1Wp6RI9ioYC+u7VBIxb3PTw5LHlQtfoE2890LpX6BK5So+8Ew3BgPCzEo4lEYmn9HteRL0rvE60h+NIpXn+ibNQAKhrELpvs14+J0RBVLjsZi+BIIgi46mNB81eAkEQJYjdbsf48ePNXgaRQ4m2TmSqoQKyb4uFocZdoJGdRC8CXSqxXvFJAmpAW5AfQahJ8UGwafec4JyjJaiXoiFjkikgtdK8LxImKwA6Ve699eLTODwOpNIcxyIF/B4Fm8RHxJKigSAIoii5b81us5dAEARBGEBpJhq84okGQAlSCvZoYBalv10A/bwI1EkCRzVforLMDruVFebRIEEKH46nEE2k9ance+uBdAKItGu+hGbvCsGAWk1sqK0+UpEyvUXp5cp7X+JhIB6U4lsBgDwaCIIgioxoIg0A+PKCceYuhCAIgtAVoUQDY6yaMfYyY2xv5u+qPs45iTH2KmNsF2NsB2PsZpF75kVZNWCxSzE+LCygPqoESBar5ntyznVUNIxU/hYwPrRYWOETFoJHpQXU+io9tD8vBY9D5TzTOlHElXvvSCDcAqSSmi+hJkDy3pds+9FIzfcEevalRo8EDKGJ//vOAbOXQBBEEfHN88gsliAIopQRVTTcDuAVzvkkAK9kPu5NEsB3OedTAMwD8E3G2FTB+w6MxSJJ9l1oQC0eOAZjScSTOlbuASFFA6DsS2EJmIC0wFGffVETMNr3pcJlg8NqyV8BE+0AklHhfWnR04vAWw/wtJJs0EjBSo9sokE8MVXtljwKtYgp2qQvgK8sUPol/+Mv2424HUEQRczRzu7sMSnOCIIgShvRd+EXA3g8c/w4gM/0PoFzfpRz/m7mOAhgF4DRgvcdHG+9cECtKhryHpMiIaDWtXLv9AJ2t5yWknwTMOmU1BYBXRUNAvvCGCtsX2QF1KE4GEP+BpSFICEB4ytU6aHeS0JiSpd2kuKlOJO+AO64sOcWwWhC79sRBFHEzP/pP8xeAkEQBGEQoomGOs75UUBJKAAYcKwAY2wcgNMBbBzgnBsYY1sYY1uExpNIUjQkUhyd3Xm+OZbQItCqZ285Y1ISMD6PI/8KdbgV4ClpLQL6TFeQpfRw5D+NQ1JA3RKMobrcAZselXsJCRiv0wanzVLAvshTNAwzI8jiTfrmMP3OdUbejiCIImXPXReYvQSCIAhCZwaNThhj6xlj2/v4c3EhN2KMeQA8D+DfOOdd/Z3HOf8N53w253y23+8v5BbH4x0pRdEA5Cn7TsaASJt44Ki3W753pBRFQ2sojnQ6D6WHxIDaolfl3u4CyqqMVXpICqhb9fLzAKQoGhgr0NMjeBSwlWkev6rSGtJpRGzxIjXpKy3hm+H9O5cKX4MgiKHNVx7bnD122IZHWxtBEMRwZtBXes75+Zzzhj7+vAigiTE2EgAyf/c5N5ExZoeSZHiSc/5nmT9Av3jrgWgnEI9ovoQqvW7OJ0hS3fmlKRp0kn1LUTQ4kUpzdOSj9JBo7lftdsJqYULX6RcJCZiCvCvUfwPRUajBmH4BtduvTFGRkpgqIAHjrVfUNwK06DW5xUSMTPpKS/hmqHDZs8d3/X2n8PUIghh6/GO38hbx99fOMXklBEEQhBGIppT/CuCazPE1AF7sfQJjjAF4BMAuzvkqwfvljxrYCkwSqC2kv1xSQN0SisFqYagq1zPREFCmHmikoAkLWUVDkUvhJXl6tIViSOWl9AgoVXtHudA9dVU0WG2Au1bKvhSk9BD8HQrHkuhOpLL+EKXCkE36Zrj7kgYAwO/e/NjI2xIEUQT8q7Eze3ze5AEFVwRBEESJIJpouBfAEsbYXgBLMh+DMTaKMbY6c84CAF8CsIgxti3zZ4XgfQdHQn+5WinOq79cUkDdGoyjxu2ARc/KfbJbUXtopGdf8k3AMMAj9saiJRTX19xPkqIhzYFjkTyfF8GAmnNuQAKmznilhyzj0BJTNAxC8SZ9M1x15snZ48Zj2pVmBEEMPS785ZsAgJOqy0xeCUEQBGEUQokGznkb53wx53xS5u/2zOePcM5XZI7f5JwzzvkMzvnMzJ/VA19ZAhL6yyvL7LBbmeGKBt0r94BQ8FiwosHtB6z2wc8dgFZDFA0BIJ3WfInC9kV8FGoolkQsmS76BIzf60RbOI5kapC95VzuKNQSUzQMQvEmffvgk/e9asZtCYIwgdzJXa/fcp6JKyEIgiCMpHTdeCSNLMy7Ghs8CljsQFm15vsB6lg+PQNqCSMLC1U0CAbUnHMlAaP3vvAUEGnVfInC9qWpuEehqshoKfE4wDnQPpjSIxYEEmFSNGigqJO+Oey7m5zmCWK4MefuV7LHTNB/hyAIghg6lG6iwTUCsLmM6y9XA2qL2JYa4kUACCVgKlw2OGyW/BUNggF1VzSJeDJt0L5of17yVjRwLmcUaqalR/fEVKQVSOY5nrIP8t4XicahAODz6qj0IDSRO4b1qt+9Y+JKCIIwCvU1ec2/nW3ySgiCIAgjKd1EA2M9cngBClI0SKjc669oEA+oGWPwe5zZUZwDIkHR8P/ZO+/4ts56/38eSZZkW957xLFjO6NZbpq0GXTRQai76KWljFIK/LgXuHCZl5RNC9QXuFBuGRcupe2FXugAWtp0paGBjiRN0mY2SW3HTrz3koes8fz++OpIXrKk85xzJNnP+/XyyxpHR18/50g+3/X59uo98hOYUukhoulBjm3Y82WsH/C5E6eiAQhOVVFBxFonGgqHmhiQk7p4KhoSid997EIAwKsNfTG2RCKR6M3zJ4L/U1cWpsfQEolEIpEYzcINNADa9Jc7oqxoEGBo3A23l+vrOFpTAVuGeAAmkkoPrxsY7dHMoY73AIzDZoE9KYJKD62EQ51GrIt4AMboioYe5ySyU636jUKVCHFxdXBc5uGWwRhaIpFI9Oaff3cIAFC7Vux7XSKRSCSJxwIPNIj3l+emWdE3OglfuJGFGrQIBB1HnUu+Neq7D5uhdnYD4Nr13OsZgHEU0G9NND3CZe41cqhHdB6FCmgSgIlYuyIQgClQ/V4ArYuuwReJMFX5DgDAjT9/NcaWSCQSvXB5vIHbP//ghhhaIpFIJJJYsLADDQ7x1ok8hw1eH59/ZOHkGI2LFHSou41wqAFNWkoi0q7QuudeT+fRnASk5Bqj6aFhRYPumXsNKhpSbRakWM3h18XZBVjTAFua6vcCaF10/wxJhNj1+UsCt8MGcSUSSUKy4uvPxdoEiUQikcSQhR1oSCsEJp2kZq+SvDQ7gDD95U6tHGp6j3zdAw3atJT0j7rgnc9J0LDn3mJiyEwWG5EZFo3WJXzm3v8eDvHMve6TFVJyAWYWrwyKaF3EdU4Ag9ZFIsRU5fmau16IoSUSiURvXv/aFbE2QSKRSCQxYIEHGrTrL+8emQi9USBzL1jRMEzvoXvZt9I6wdVnEvPSbPBxoG90HucxEGgQbxHIcVhh0rvnXouWkjRboDIlJCMdQEoOYBE7zj1OF3L1DkqZTJpUwOSn2dA9HEEARqtRqLKiIe5RqhqGJzwxtkQikWjNr/7eGLid70/YLHQYY9mMsV2MsXr/76wQ22Uyxh5njJ1ijJ1kjG0x2laJRCIxggUeaBDvLy9I9wca5nOSNHKou0dcsFlMyDAic+9z0/QDleSn04XD/OvSSdnw1FzV7wMAXSMuFKYbcKGigUNdkG5H/+gkJj2+0BuNdAqfKwDQNTyBwnQDHGoNAjAF6fb5g3WAJjonQ+NuTHp8gfNTEr9UFwRbZJ45JnZ+SSSS+OKeZ08BAL5w1fIYW2IoOwDs5pxXA9jtvz8XPwXwHOd8JYD1AE4aZJ9EIpEYygIPNIhXNCiR+C4DKhq6hidQkG6fVlasC5oEYPyBhnDr4igATGbV7wNQpYchjmNaEQlYetVnWJXA1LyjPzVoEfD6OHpGXIHjoCtatJSEq2jgXJOKhi7/exQYEYCRCPOe80sAAJ96+I0YWyKRSLSifzTYavrZK6pjaInh3ADgIf/thwDcOHMDxlg6gEsA3A8AnPNJzrkcvyORSBYkCzzQIO5QJ1vNSLNbwlc0WOyAPVP1+wBUHWCIgxRYF/XOo2JnV7h10aDnvnvEyHXhwGi36l0oAZGu4TABGMF16XO64OMwKACjTUXDiMuDUVeIIM7EIOCZEK5oUNbdkACMRJifvK8mcHvC7Z1nS4lEkihsuHtXrE2IFQWc8w4A8P/On2ObZQB6ADzAGHuTMfYbxlhqqB0yxj7BGDvIGDvY09Ojj9USiUSiEws70GBLA5JSNSmHD+s4OgoAwUqErhGjMvfajCxkLBKHWsxxdHm86B+dRIERPZ6BChiBSo80paUkxLr4vDRdQdihCNbBwQAAIABJREFU9mfujdAiSCukQIB7XPUuAi1IofQrNKwKAmDM+SLRlJXfkAr1EslC4uRd22NtguYwxl5kjB2f4+eGCHdhAbABwC855+cDGEXoFgtwzn/NOd/IOd+Yl5enwV8gkUgkxrGwAw2MaZSNtenuUAP+igYjHCSHeEVDktmEnFSb7hUNykhEY1oEDKj0GO0FuFc7h9qo1glAcF3CVHpoqHMCAPmydSJhOPT1K2NtgkQi0YgvPnokcDvZKtY2GY9wzq/knK+Z4+dJAF2MsSIA8P+eqzyyFUAr53y///7joMCDRCKRLDgWdqAB8PeXdwntoiDNrrtD7XR54HR5jGkRSLIDyVnBsZwqKUi3hc7ce1zAeL9mmXtDHEcNHOqsFCuSzEx3h1rRDEm8AEyoddGuoiEjOQn2pIV3gbtQyZkyZefnLzXE0BKJRCLKn95oBQD87APnx9iSmPBXALf7b98O4MmZG3DOOwG0MMZW+B+6AsBbxpgnkUgkxrIIAg3iFQ35fsV8HmocpAYVDYrDblgmVgOBv/w0W2iRTI1HfhriUKfmAcwktC4mE0OeY55KD83WxQXGgFyHVWg/EaFBS0nYKSWBAIwWgqqymiHR+Mr2lQCAHz5/OsaWSCQStTR0jwRuX7uuOIaWxIw6AFcxxuoBXOW/D8ZYMWPsmSnbfQbAw4yxowBqAHzfcEslEonEABZJoKGTVO1VUpBug9vLMTDmnv2kawSYdGqnlm9Ub7lGAn/hHeoEEvczW4DUfM0CU3OiWYvABHIdNljMBnyEFVud6iuD0mwWJCeZ569osGcCScmq3wOgz5EUgkw8PnlZZeB2TygdD4lEEtdc+eN/AAAcNkuMLYkNnPM+zvkVnPNq/+9+/+PtnPNrpmx32K+7sI5zfiPnfCB2VkskEol+LIJAQxHgGQcmhlTvYt7+cqUtQwPHETBoigCgTUVDuh29Thc8Xt/sJ7XKUI+4kGRmyEpJEtpPxCiBKQHm1fQY6QTAKKAhQJdRE0oAarMxW4UCMIwxWpeQYpAdGumcTARG0koSk03fezHWJkgkkiiZWvF59FtXx9ASiUQikcQLCz/QkO53XobbVe9i3v7y4bbp76OSYObe4NYJb4hxgxFQkG4D50Cvc3L2k1ppEfgdRyY40SNi0ouFzhUgTKXHcBvgyKfqCQG6hieMq35hjI6j4Lrkzze9ZbhdOCjl83H0OA0MwEg05dTdC0+hXiJZLGy/9+XAbZPJoP/XEolEIolrFkGgoZR+KwEBFeSnzdNfHgg0lKjeP0AZ6hSr2biSw4wSmn4gUA6vOLpzOo9DrYDFDqRkq94/QGtu6ASB9BJguFVoFwXpdgyNuzHh9s5+crhd+FwB6HwxrPoFIJuH1H+GAFqXkOKhQ210TgowMDYJt5fL1okEZaqA5y2/2htDSyQSSbSc7iJ9hj9/amuMLZFIJBJJvLAIAg1+QaIh9c5j/nwVDUNaBRomUJBuZOZePAAzb0vJcButieDfY2jmHqDzZWIIcDlV7yI/jc6XkIEpQYfa7fWhb9TgzH2GBgGYNBLJnCWq6nVTwEs5J1US0DmRFQ0JywMf2QQAeL2pH029ozG2RiKRREL5jp2B2xvKsmJoiUQikUjiiYUfaEgrokkCAg61zWJGVkrS3BMWhluBlBwaGSlA97Ar4KAaggYBmEBLyVx99xpkqIEYTBHI0DAAM9f5MtQm7FD3Ol3g3CCBTIX0EmC4A/DNoccRIQXpdoy7vRhxzWjXGekAwIXPly6jdU4kmnP5yqB2yeU/2hM7QyQSSUTct7s+cPvA166MoSUSiUQiiTcWfqDBbAEchZqUfc/Zdz/Upk0p/MiEsY6j4tQJONQ5DhtMDHOXww+Lr8v4pBfDEx7jWwQAwQBMiEqPiSFgciQY5FFJTDL3GaWAzw2M9qjehVIZNOt80agqyNBRqBLdaK6rDdyemimVSCTxxeDYJP5z19sAgH+5tBJ5RiZLJBKJRBL3CAUaGGPZjLFdjLF6/++QNXOMMTNj7E3G2NMi76mKjBIhhxrwjyyc06FuD2bBVcI5Nz5zb88EklKFBP7MJoa8tDkmLHg9lKUWdRxHYuA4BgIwWoiHzghMKQ61aObev96GTldQjqVA+0QwADNjXTTUOQGAPIe82E10Dn/zqsDtHzx3KoaWSCSSUNTctStwe8e7V8bQEolEIpHEI6IVDTsA7OacVwPY7b8fin8DcFLw/dSRrkGgwd9fPovhVmEHaXjCgwm3z1iHmjFyeAUy90CISg9nF8B9GjjUMcjcpxUDYELnS0ZyEqwW0+zAVMChFgtMKfs1VCRTOZYClUEhKz2Uc1CDAExOqhVWy8Iv1FroZKZY8YWrlgMAfrGnEX3OEFNcJBJJTJhabTS1CkkikUgkEgXRK/IbADzkv/0QgBvn2ogxVgqgFsBvBN9PHRml5CDNFKGLgoJ0G3qcLnh9U/bhclI5vKCDFHQcDS751iQAM8fIQo0c6q5YlMJbrDR+UiAAwxhDQfoclR6aOdQumE0MOalGanpoMb3F3zoxU9NjuA2wZQC2NNX7BmIwiSOOSJjqsij47BXVgdsXfPfFGFoikUim8uc3gv8fd3/x0hhaIpFIJJJ4RjTQUMA57wAA/+/8ENvdC+DfAahXkhMhvQTwjAPjA6p3UZBuh9fH0Tc6xUnSzKH2Z+6N7m/M0GJkoW2246hhhhqAsVMnAE0CMAVpc1R6DLeRMKmjUGjfXcMTyHPYYDZyVnlKNo0rFQjApNosSLNZ5ghMtWsiHNo9YnD7UXyRGNVlUSL1GiSS+GLC7cUXHj0CANi+uhCVeY4YWySRSCSSeCVsoIEx9iJj7PgcPzdE8gaMsWsBdHPOD0W4/ScYYwcZYwd7etQLz01DixGXfmd32shCZX/C4n4xErFLL6E2B8+k6l0UpNvRPzqJSc+UGJJGPffdIy7YLCakJ1uE9hM16cWaiId2z5w6MdxOU1DMYn9P14jBoy0BarVJL9ZA68Q2e+znkHj7ERCDUajxRWJUl6ng5X+/PHD7//afi6ElEolk5TeeC9z+79suiKElEolEIol3wgYaOOdXcs7XzPHzJIAuxlgRAPh/d8+xi20ArmeMNQP4I4B3MsZ+P8/7/ZpzvpFzvjEvL0/VHzULTUYWKmXfU5zHYY3E/UZi0HMP+J077h8vqA5lXXqm9lAPtZHQpD1DyDwSyLSDMQMz9wCdL8NirTZ6OtTdwxOxaRFI16ICJkSrjWCwzuvj6IlFACZ+SIzqMhUsyU7BTRvoc/PVvxzD+KQ3xhZJJIuTzd/fHbjddM81MbREIpFIJImAaOvEXwHc7r99O4AnZ27AOb+Tc17KOS8HcCuAv3HOPyT4vtERUMzXQshuautEOwDmFxBUT/ewC2l2C1KsBmfuNZiwkD+XwN9wK+1bMEDQPRwjxzG9BJh0Aq5h1bsoSLdjxOXBqMsTfFADhxqA8RNKFDJKhc4VwB9omBqs87hoZKbg5JY+pws+DuQtYI0GI6vLdKksE+DHt9QEbq/65nPzbCmRSPTg1YZedPr/zz/2L1uMTwBIJBKJJOEQDTTUAbiKMVYP4Cr/fTDGihljz4gapxmOfMBkEcrGKvOhpznUQ620b4tVyDwlc284Ggj8FQRaSqYGGtq1KYUfiVHmXpMJCzOEDzmn/Qk61C6PFwNj7ti0CKSXUPWLT31GOT+dprdwpVpE49GWhuucGIiR1WW6VJYJMjWDuuZbz8fQEolkceHzcXzwN/sBAJV5qdhUnh1jiyQRwbnQ/2uJRCIRRSiFzjnvA3DFHI+3A5hVV8c53wNgj8h7qsJkpqoDAYc6yWxCrsM6o6KhTbve8phkqBWHWr12hWL3tHUZagOqV4lYBoAqGi5bHuMATMF5qnahBAK6hidQkZtKQqSecXHdisDIzxgFYLgXGOlU3S5UkGbHpMeHoXE3MlOswWCOVsKhC7iiIQxKdVkd5qkuA3AnADDGLgPwJcOrywRgjOHJT2/DDT9/FU6XBy+d7sblK0J1iEgkEq1Y9tVg3mj3Fy+LnSGSyPH58O0/vgsnfaNA5pLY2sI5XU+ZbYBD38A1Q5hKG+4DhloAqwNIydHVlrD4vMDQOSA5W7jVeD7CrgkA+NzAYAsdH6vYBDBhvC7yS9KKgKQUzXcfVTWWewwY7qBrVEuMry9dI4CzG8gsA8xJmu566jnyxY1fxIaCDZrt2+Ba/RiiwYSF/DT79Mz9UBuQt1zQMHLSL6qIQYbAlkZjBQUCMFkpViSZWbDSwzNJApOCkzicLg+cLk/CBmBmtZRoNIlDqZAwXM8DmB6AURtomNKClJliDbZiiE5uGVn0gYY6AI8yxj4G4ByAmwGqLgPwG875gmioXr8kE+tLM3CkdQh3PHAAjd+/xtjpKxLJIuO2+/cHbtd/790xtEQSFSYT0m3pyO1uAqzpQE5lbOzgALpPAMNddD/JoVvgg4fV1eJAxxHA2QOgh9bFUaCLLWHhPqDtDWC8HxjtB0ouoICD1m+DCLTGfB6g9SA5suNDQOlG4XHjqvFMAp0nyMGfcAJLLgSSkjXbfUTroeAeB3rqqcV3cgwo3SRcwa4al5Ns8XlojUouEBaWDzBjSSwmbUMDiyfQkF4MtEU0+CIkBem2YH+5EqGtfKfQPjnn6I5ViwAgHIAxmRjyp45yHOkAwMUd6lhmqB2FNIZSC/FQZV00GoUa03WZOr1lyYWqdhGsgJnAisI00vOYum+VdA27wBiQ64jRP4EYkzDVZRrw5L++IzDqsvKrz0wbgSmRSLTjdOcIXq7vBQD84oMbkGQW7baVGMkXbnoceOKTwJE/ANe9H7jg9vAv0po9dcDbvwe2/RvQfRI4/iJwy++AVdcaawfnwDNfAhpPAFd8Czj9LHDsZeDDTwBLtxpri88H/OmjQPNp4JofAa//D3D8VeCOZ4HCNcba4pkEHn4v0HIWuO6ndLxOvg587AUgq9xYW1xO4KFrge5u4NqfAM/fCUwcAT76gu6VMLMY7QPuvwoYcwLb64CdXwC8DcBHdhofhBk8B9x/NQAGXP5N4OnPA+ZS4IOPA5b4bxdePP810ksoe+pTL7ZekG5H55DfcZwYIsFAQQepf3QSbi9Hfqx6y9OLg86eSqjv3h+ACTjUYuuiiE7FZF3MFgo2CARgHDYLUqzmwN+hVUVDTNclQztR1eC6tAHJWYBVrDyue3gCuQ4bLPJCeFHQMCWz+k+/fC2GlkgkC5d33fuPwO1r1hbF0BKJKhgDrr8PqLoSePpzwFmDvytP/AXYcw+w/gPAld8Bbn4QKD4f+NPHgK4Txtpy4Df0s/WzwMVfAD7wCJC1FPjDrULVq6r4ex2tzVV3Axf+P+BDf6JWjoffC4wPGmvLc18Bmv4O3PAzYMNtZIvHBfz+vfTbSJ74F6DjKJ0nNe8HPvAotS388f1CU+CihnPgkQ/Ste4HHiFbbn4I6DwO/PkTxtkBAF43HYvJMTo2Gz4MXP8zoOkfwDNfNtYWlSyeq/KMUsA7CYz1qd5FUUYyep0uTLi9mo22bB8kh6s4U7vSoKjQYGRhcUYy2gfH6c6QNpn7mK9LRolQAIYxhqIMe3BdhttIkDRVrKe8fXAc9iQTslNjkLm3Z9LYUoHJEzSuFNPXRfBcAYC2wXEUZyzatolFh8Vswm8+vBEAcOjsAI63DcXYIolkYaFUDQGQVUOJjDmJnCR7JnDoQWPf+8D9QE41cP1/UdDDmgq8/xFqGzj8f8ba8vr/AEsuooAHAKRkA7f+gZKGxx43zg6fl9ZlRS2w9TP0WOYS4L2/pYrgUzvnf72WuJzAmw8DG24Haj5Aj+WvpOPVV0/OrFEMtwMnn6Ig0Irt9NiSC4Gr7wZaD1DLi1F0HQfO7QWuugso20yPLb8auOTLwOlnjA1MNb8M9J4Grrs3qBlX835g40epUsk1YpwtKlk8gYbAiEv1J0hJFjm9HUMTmvWWtw2OAQBKs2LlUJcCY72AeyL8tiEoyUpG2+A49cdpFIBpGyBHtCgzRs6jUgEjQElWCtoCDnU7CZKaxD5ybYPjKM5Mjs1oMcb8rTbqP0NWiwn5abbA8aVJHOKCqm2D44HPp2RxcOV5BbBZ6PN07X2vRNCfK5FIIuFbTx4P3D727atjaIlEE2wOYMU1wOnnqFTeCEZ7gbOvAqvfM124zpEHLLsMOPlX47LUPW+Ts7bmvdOvwXKrgKIacnCN4tw+uuZe+97pI+DLNpM/cepp42xpeJGEF9fePP3x5dtJENLIdVECLDNtWX0TtTIbacvJp+k9V980/XHFNiODQSefogTfihkdsGtvpuR5/QvG2aKSxRNo0GBkYYk/u942MK5ZKXyr3+EqiWVFAwCMqHeqSzKT4fL40OucpECDLUO4h6ltcAz5aTbYLGah/agmo5TOFYF/hCWZydo71APjsTtXAH8ARqwCpiQzeUoAplV4EgfnHO2DMV4XSUw4/d1gC0XFnfEzUVkiSVQ6hybw0N6zAICv165Cml1bdXNJjFh1LeAaApoNylKffoYqF+bSYlh5LfWddx4zxpZTfid15RyVOauuA9oOCieWIrflaZq+UX3V9McZo7Vq2E2VBkZw8imavFG2ZfrjFhtl8E/tNG486smnqPolb8X0x1NzgKXbjA3AnHwKWLJ5ti5EbhWQt9K4oIfPR8eg+kogaUbSdclFQGoeBUXinMUTaJiqmK8SpeqgbXCM9sNM1MsvQNvgOFKsZmSmxOifuZYBmMHxhZOhTi+hcZTjA6p3UZqVjL7RSYxPejVxqAFal5hVvwCaTG8JVHpMjtH6Cup59I1OYsLtk4GGRcpbd70rcPvLjxlYXimRLEA237M7cPvjFy+LoSUSTVl2OWVGjXJMTj5NY/gK181+bsU1xmapTz5NKv1zXZuuuo5+G5Gl5pz+5srL507GrbqOKgwaXtTfFo+LsuEr3j339IKV11LlRcv+2c9pzVg/0PxK8FjMZNV1QM8poLdef1v6GmlKSihbVl5LlTqj6tvwI6b1AE3xW3X97OdMZvoc1b8gVJFuBIsn0JCaC5itQmXfhRl2mJhS0dBGM14Fx4soGeqYlMIDmgRglIBA28C4dg51rDP3Goy4DFbAjFK0XDAAM+H2otc5GeOKhlL64hMovyzJTEbH4AR8SsAiQ7D9SKkKytJ+3rIk/kmxWnD3jaTU/dihVrQOjMXYIokkMZG6DAuYJDtl0Y3IUk8MA2deAlZeN709QMGRR1l0I7LUQ61A+xvkIM5F3gogd7kxQY+OI8BQS2gntmwLVRgYYUvTPwDX8NxOLEDnitlmjC1vPwdwb+hJJEolihG2KOfkXNUvAB077gPeftYAW54CTEmzq18CtlxPQwma/q6/LQIsnkADY/4JC+od6iSzCQXpdrQOKg61WCYWANqHYp25nzKyUCUlUys9NKho8Pk42gcnYl/RAGgSgOnubKNeKmE9D8WhjvX5wv1jTNVRkmnHpNeHoa4m/z4F9TwGY9x+JIk5t21eGrj9jv94KYaWSCSJyW9ePhO4ve/OWZNyJQuBVdcBo92UKdWThl10zTPfCMtV1wHdb1EGWU+USoVQDjVAQYjmVyizricnn6JKjuXvnvv5qVlqvbU0Tj5Fky4qLp37eVsaVV6cfEp/LY2TT9N1YPGGuZ/PKKXnjAg0nHwaKFpPE0nmomg9kFGmvy1K9cuyywB7xtzbVFwC2NJJ7ySOWTyBBoAcPdGyb6XvfqhtYWTurSk0XlDAoU63JyHNbkFX3yCVWgmuS6/ThUmvD6Wx1iIAhAIwysSM4a5mekAjgcySzBhm7jUYcakESoY6m6fvUyXBigYZaFjMTM3ATs3MSiSS+RmZcOO7O08CAD68ZSkK5QSfhUn11VTZq7eTdPIp6h9fclHobZQKAyNsyVtF/fWhWHUdZdTffk5fW049TXoDqTnz2+Ia1nfig8/r7/2/enbv/1RWXksVGHpOfHA5gcbd9F7zVXavuo4qUwR9uHkZ7gBaX6dKnFAoWhqNL+k78aHrBDDQPH+wzmIFlr8LOP0s4PXoZ4sgiyvQkFlGAjQClGQlo31glBzQzDKhfY1NejAw5o69g6TFumQmY6L3bHB/ArTGQ+beUUBlYwLrUpBmg9nE4Or1Z4oylgiZFBcVDZn+KK/AuiiBEldvEwCmSUVDms2CjGQpWrbYOfC1KwO3f/5SQwwtkUgSh7XfDiqX33XDmhhaItEVezplsPXMUrsngPpdlJk3zSPmnbmEJj7o2T4x2kf99PM5awBQfD4lIvUMevTWk85AqLYJhYpL/RMfdMxSt+ynpGC4dTFCS6PhRcAzEX5djNDSUM7FcLasvJa0NOp36WfLyacAMBqDGs6WsT4axxmnLK5AQ3YFTVdwj6veRUlmMkW9vC7anwBtsZ44oZBVAfQ3Ce2iNCsZpsHm4P4EiIvMvclEpVMD6tfFYjahMN0O00AzPaDB+WI2MRSk2YT2I0RmGQAmdL4ogRLW30QlcRaxv6d1QI62lBB5aTb88yUkYPfD509jaMwdY4skkvhG6jIsMlZeAwyeBfp0CsS27KO+8VA97tNsqaU2Dr1aFhr/Rv30M0cDzoQxEkVsfAnw6vQ/Q3FKw9mSZAeqrtDXia3fBZgsQFWI3n+FVP9EigYdbWnYBdgzZ0++mEluNWlp6DnOseFFIHvZ7MkXMynbDCRn63uMGnZRRdDMyRczqbqSqpT0PEaCLK5AQ1Y5/R44q3oXJVnJKEHn9P2ppDVeesuzyilDLSAQVJyZjJRRf5Zb1KGOh8w9QOvS3yy0i5KsZCQ7zwEpuRqM/BxHYbodFnMMP7YWG1UgCARgHP7qA7uzRfgzBPgnlMT6MySJG+68ZlXg9vq7XkBT72gMrZFI4pf13wletD/3uYtjaInEMMq20m+9dBqU/c7XNhGwxe9cth3Sz5ak1LknX8xk6RaaNNZ1Qj9bMpZQJUdYW7ZSUlSvNoHWA0DhWqpwCUfZFqDzOE0J08WWg3SuRCKsX7aZbPf5tLeDc6Dldfp8hBPnN5nJZr0+Q+5xaldZGib4AgA2B53frQf1sUUDFlmgwe8AKxlmFZRkJqOMdU3fn0riprc8uwLwuYUnLBR4OsCTUqk3T4C2gXFkJCfBYROb6CFMVgU51AIlhqWZycicaBMOvgB+PY9YnysA/S2CFTAlmcnImGjVaF3G4mNdJHHD1Mzs5T/ag8cOtsTQGokk/ijfsRND45S9/dg7KrCyMAKnQ5L45C4nATndAg0HgdwVQHJm+G2Lz6fSfD2DHiUbInNiSzcFX6OLLQeB0o2Rbatsp4ctXg/Q9kbw7w1ryybSr+g4rL0t44PUThKxLRcCE4NAvw4Cov1ngPH+6I5RX70+1TgdRwGfJ7pj1PZG3Oo0LK5Ag+LUCGRjS7OSUca64WMWTXruLSaG/LQYCy9pEYDJogCMK21J+GhgGOImQ51dQSWAo72qd1GSlYxCXwd8mSEUbKOgbXA8tgKZClnlQp8hAFiWwZHhGxQO1o1MuDE84YmP80USV0wNNnz58aO47X4D5oFLJHGO2+ub1i7xu49diG9ce14MLVo4MMayGWO7GGP1/t9ZIbb7PGPsBGPsOGPsD4wx4y4CTSag5AJ9nFjOab+ROkg2B5C/Wh9b3ONA59HIHceMJaTNpUdmeKQTGDoX+boUrCWNMD3Wpeck4B6NwonVMejR/sb09whri47BIOW4R7ouSy6k321v6GCL/+8riSLo4RkHunWqxhFkcQUaUnJIZEUgG1ucmYylrAsjtsLIoqTz0DYwjqJMO8wmMcdcGA0CMFTp0Y3hZLERjgCtS3E8OI4aBGCWpFtQhD6MpIgFpTxeHzqHYzzyUyG7AhjtIbVglay2UxSYi1YFxUubjSQuaa6rxcaldK3/cn2vnEYhWdQ0946i+mvB+e+Hvn4lLq4Wq0CUTGMHgN2c82oAu/33p8EYKwHwWQAbOedrAJgB3GqolaWbqEVgUuO2soEmEqaL1HEEaNvWQ9qXw0ebFWaMto0HJ9ZiBYpr9Al6KH9fpMcoNZeuhXVbF0ZVJ5GgZzWO0maTvyr8toC+1TitB0gPLa0gsu31rsYRZHEFGhgDssuFHOoUqwXLzD3oshQLmxM3mfv0EsCUJCbwl2lDGetGj+C6cM4pcx8PjqMGAZiKpH6YGUdPkti6dA5PwOvj8XG+aBCAqU7qAQA4U8QCU3EjqCqJWx7/5FZ898agkn75jp3ges8Fl0jijMcOtuCyH+0J3G+65xrkOGIoLLwwuQHAQ/7bDwG4McR2FgDJjDELgBQA7QbYFqR0E4kktr+p7X6jdaiVbV1DVIauqS1RZoUBcr77G7Uvh289QNfYkWhFBGzZRO0KnkmNbTlISddokjylm4CWA9pPKmk9AOStBOwZkW2vZzWO0mYz36SUqdjSgPzz9AvARPMZyiwDUvPjVqdhcQUaAL/An1jZdxnrQgvyhU1pGxiP7WQFBZOZTlQBhzrXNwA7c6MFEUbgQjA87oHTFSel8Eq7g8D5UspJOLSVi61L3Oh5ANq0IHHSORE9X2RFgyQSPrR5KXZ9/pLA/Yo7n5ETKSSLhtt/+zq+/PjRwP3mulowwRZHyZwUcM47AMD/e9aFIue8DcCPAJwD0AFgiHOuo5T+HCjZ7JbXtd1vtFlhQL9sbLRZ4Wm2aOywtR4EitbRRImIbdlIYx+7jmtsywHSOojm81+6CXB2AsMailMG2myiCAQptmhdjTM5RuscjXMPkO1tB7WtxhluB4Zbo7NFqcbR+vOsEYsw0FBBo33UnhjjA0jjTtS7c4XMmPT40DUSJ6XwgLDAnzLaskFwXVoHSdk2LtYlyQ6kFYsFYNyUqGjwigWm2uJlQgkQnBQhcL7kedoxwB1oGbcKmdI2MA6rxYTcVJmZk8xPdUEaTt29PXB//V0vYP+ZvhhaJJHoT/mOnfj721RBtqEsU44kieKdAAAgAElEQVSwFIQx9qJfW2Hmzw0Rvj4LVPlQAaAYQCpj7EPzbP8JxthBxtjBnp4ebf6IlGwgu1IHhzrKrDAA5FRRRlvzQEOUWWFAn3J4r4e0CKJ2YnUIeowPAL1vq3DuddBp6D9D9qhZF62rcTqOUJuNorsQjS0TQ9qOilVTFQQASzbpU42jAYsv0JBdAXgnaXSMGvzl4sfHsoXKbzuHJsA54kPcD/BPWGhWXxrlX5djEzlCZsRdKbxgACZp6CwmYEW9U6xyRVmXuNCuSM6iuccCAZi08Vac5fmBv0strf72I1OsdU4kCYE9yTzN0Xrfr/fhP547FUOLJBJ94JxP0yS5+4bV+POntsXQooUB5/xKzvmaOX6eBNDFGCsCAP/v7jl2cSWAJs55D+fcDeDPALbO836/5pxv5JxvzMvTUE9D0SPQqhzePQ50HoveQTKZqL1BS4daTVYYAKypQIHG4pTdbwHusehtSS8B0oq0tUUZIxqtLQVrAItd22MU0IpQUUUw9fVa2hJNmw2gTzVO6wHAbKXxo6psib/2icUXaFD6ktQ6j/7XNXjy0T+qvncqrjL3ADnUrmGKMKphoAlemHF4KE3IjLgrhVdGXKploBld5iK0DU0ImdE2OI5chxX2pCgyBXoiGoAZPos2FKJ9UCzQQO1HcXKuSBKG5rpaKLGpX+5pxPrvGFu5LJHoydCYGxV3PhO4/8LnL8FtW8pjZ9Di4a8Abvffvh3Ak3Nscw7AZsZYCqP+lSsAnDTIviClG4HRbmDwnDb7az8cnfjiNFs2kUPuGtHGFrVOrPKaNg3FKVv95ezRVhEw5hfK1NKJjVJ8UcFiBYpqtHeorWlA3oroXqdHNU7rAarUdUQZyMup1r4ap/UgULQesERZpav3qFgBFl+gQbS/3P+6czwf7YPqnce4y9xrEIBx2gvRNerFhNur2oy2gXHYk0zISRUrqdeM7HLA2aW+H2ygCUP2EnGHOl6EQxVEAjBeN9hgCwbsJYHAklribl0kCcOZe2rx4S2kwzI07pYTKSQLgteb+rH+rmDg7NTd27G8QCwBIImYOgBXMcbqAVzlvw/GWDFj7BkA4JzvB/A4gDcAHANdh//acEuVMnGtHBNR5577tBsVqDYrrNjiGgZ6T2tky0EgNS+o+RWtLQNNQiPWp9HyOgkY2lR8H5RupGCSVuKULa9H32YTsEXjahw1bTaA9tU4Xje1hKixRY9qHI0QCjREMTM4kzH2OGPsFGPsJGNsi8j7CpFeCpgsQg61JzkXY7CjzV+VoAbFwSrKNG588rwoffcCAZgJRxkAoEMge982SKMt40aoKjBh4Wz0r+UcGGjGuKMMbYPjQq02bQPj8VPlAVDAbrCF+g+jZagF4N7Auqhlwu1Fz4grvtZFklDcdcMa/O9Hg32Z5Tt2wu3VeMyaRGIQP3juFG751d7A/ea62vipglsEcM77OOdXcM6r/b/7/Y+3c86vmbLdtzjnK/0tF7dxzl2GG5u/GrAka+ckqc0KA0DpBcF9aGLLQcrAR5sVBrQvh289QPtUc02rZTm8z0fChdFWVky1xesCuo6J2zI5SoKOahxqgP4GZxddS4oy1Eat9Kpt2QR0nxAa9x6g6zjgGRc7RlpW42iEaEVD2JnBfn4K4DnO+UoA6xGLMjEFswXIWKJ+NN9Ac8D5bBXoL28fHEd+mg02S5xcBIgK/PU3BfYh0ncfdxnqLIEKGGcX4B4Dz6qAy+NDr1NdJFgZ+Rlf61IOcK+6L3r/OebLrBA6V5SAVlytiyThuGR5Hg5+/crA/eqvPYuzfRrPl5dIdKbmrhfwiz2NAMinkaKPknkxW6jcWiuHuu1Q9D3uCslZVIauhUPt9VDmXa2zll1JGlRarMv4AAkFllyg7vVFNQAza2NLfyMJF4o4sYA2x6jjCF0/Ctuiwbq0+f8eteeuluKUrRrY4homwc84QjTQEHZmMGMsHcAlAO4HAM75JOd8UPB9xcgWKPseaIY5twKpVrNQoKFtMM4y1NYUwFGoLgAzMQSM98OWXwkAaB0QqPQYGEdpPK1LtkBLif81trxlANSvS69zEi6PL74capEAjP81tvxl6BudxPikulabuBr5KUloch02NN0TSDji0h/uweOHWmNokUQSOeU7dmLQP671ts1L0XSPDDJIIqBkA2VR1VQmTsXZTaMPo+39n2lLx2ExOwCg5xRlhYtV2mIyAcU1FKwQRdmH2nWxptCoUC2cWGUfatclvRhIzY8PW/LPo9YYrWwxJQGFa9S9vvj84H6EbTkMpOTQWFYRW7T4HGmIaKAh7MxgAMsA9AB4gDH2JmPsN4yxVMH3FSNLpZCdxwUMtYJlLcPSnFQ0C2S9mnpGUZ4T22WYhdoAjD84kVZcDavZhCaV6zI07kbf6CSWxtO6JGcBtgyhdcleQmI3as+Xpl563dLcOFoXkQDMQDNgtiG3iHoWlb8vWpp6qVQt7j5HkoSEMTYtC/ylx47gIw/E51xqiQQA3F7fNG2Rhz56Ie6+UeUFs2TxUVQDeCbIORdBcaiLasRsGekARrrEbFGcrKL1YrZ0n6Rrfk1sEVyXjsPiegTth2lyRN5Kda9nTNsATFoRkFag7vUWK+kRaGVL/ip1bTYAkJpDVfJaOPcdh/1VLCpbx3OXA0kp2qyLhoQNNIjODAZgAbABwC855+cDGEXoFgt9ZgbPJLsCmBiMfsLC4DkAHMiuQFW+A/Vd6npynC4P2ocmUJXvUPV63VAbgPG/xpy9DBW5qWhQuS4N3fS6qrw4WhfGSBBSlUPdBDATistXwGJiqs8XZV2q4+l8SSsGzDZ1ARh/m01VQToAoL5bndJ0Q7cTDpsFBekq/0EsIBJSLydOaa6rxfllmQCAPad7pEikJC452zeK6q89G7h/8OtX4tLlGo4/lCx8iv0OsKiTFHCo18XelvbDgNUB5FSJ2eJzk46AqC2ZZTQpQcSWsT5gSLDCruMwjak0W9Tvo6iGRDLViqNPtUUk+KLY0nFULADDOdlSLGrLenHn3j1OwS0RW0xmEkBNtIoGDWYGtwJo9SvtAqS2G7JeRreZwVNRq0egbJ9Vjqp8B9oGxzE2GX3JWaPfcayMJ4caoHUZaacTPhoGpq9LQ486h1pZl+qCeFsXlZUe/U1AeimSrHYszUkJBAyipaHbieQkM4oz4qhFwGQCspaqr2jIrkBFbipMLHjco6W+24nKfEf8CIfGlsTTy4lj/vKpbbj7htWB++U7dgqJuUokWvKnQ6249Id7Aveb7rkGuQ4ZcJVESXYlOeWiTlL7YXLs1UwzUChcC4CJ29JxGChcR9coainSMACjhUMtaovPR065qENdXEN6BJ3H1e/DNQL01mtji2tIbPz84DlKOIseo+KaoAaGWrpOkG6FVgEYn/rpf1oj2joRdmYw57wTQAtjTBmWegWAtwTfV4xAf3lzdK9Tts+qCFQjnOmJPrIXyNzHU4YamDL6M8oJC/1N1FdkT0dVvgMt/WOqRlw29DhhtZhQmpUS9Wt1JaucvpCi/eAONFE1BIDq/DTVAZj67hFU5qfCZIozhzqrPPpzhXN/RUMFbBYzyrJTVK9LQ7czvqpfYkti6uXEMbdtKccLn78kcL/izmcwNO6OoUUSCXDHA6/ji48dCdxvrquVwVaJOkwmcsrjwaG2pVGwQsQWr4ecYFEnNqucBCFFgh7jA+QziNpSuIYEITuOhN82FP2NwORIfAQ9Oo8B4NrZInKMlL9DuKLBr43QKTCRI6BboUHQwz1KIqRxgmigIezMYD+fAfAwY+wogBoA3xd8XzEC/eWN0b2u/wz1vzjyA2XsarLUDT1OJJkZlubEm0OtrMuZ6F7Xfybw2qp8B3xcXd99Q7cTy3JTYY43hzp7GeDz+FtnIoRz/7qUA6B1Ods3hklP9GNnGuPVoc5eRn9jNKN0nN30JZitnC9pqj5DwxNudI+44i9YFzsSUy8nzllekIZTd28P3F//nRfwelN/DC2SLGbKd+zES6eppfT8skw5WUIiTnENOedqBSGdPSQEKeogKbaIOI69p0kIUtSJZYzK4UUcaiUwIGpLUjLpKoisS7tGDnV6MZCaFx+2KIKQIseo/TBgstCoVxEUPRDRoEdyNuk9CNmiQQBGY4QCDVHMDD7sb4dYxzm/kXMepTiCxlhTqW+qK8rCiq7jJBrCGJbmkEOsKtDQ7UR5TiqSzKJxHo3J8xedRNOXxjltX3AegGCVhpp1qe8eiU/HMZ/+NnRHcb44u6ivzv8FVpXvgNfHoxaEHI1XPQ+APgvuUWAwiqqGruPB14LWpal3FB5vdAGYuNSt0Bkj9XIM0cpJEOxJ5mkO3S2/2osfPi8oniaRRAHnfJpWyN03rMZfPrUthhZJFgxFNeSc955W93qtHGplHyPtlJAQsUWroEfXW+oFIQO2nK+NLSKCkB2HSVNLrRCkAmNBcUq1dByhCXdphWK2WKx0bS7q3OevApLsYrY48oD0EvF1KRYQglTIXQ5YkuNKpyHOPF0DKVwHdB6NfHvOaftCEruxWkyq++4bup3x6Tja0ylLHc26DLcD4/2BdVH67qNdlwm3F60D4/G5LgXnAWDU9xQpSglV4VoA6gMwjT1Km41A76Ne+P+2qM4XZdsp6+L2cpztj270Z9y2H+mIkXo5hmjlJBhTgw0/f6kRG+7eFUNrJIuFoXE3Ku4MFoi+8PlLcNuW8tgZJFlYBEQYVZbmd/hLvkWEILWypf0wkJQqJgSpUOQXhIwmwTTTlgxBIciptoz20PW2GjqOUAuGOUncluIamlIyqXKMvRbii1Nt6TiiLgDDOR0jLQJkAO1HbdDDPUFCkFrYYrbQsV4oFQ0JTeE6oK8RcEXo+A21kNCH4lyBpiNE21/u8nhxtm80fh2kwrXR9RnNcBztSWYsyY4+ANPY4wTnceo4WlOB3Oro1kX5R+mfzbssjyrUo12XuHao88+j3sGozpdj9M83mYYiqA3ANHSTnseS7DhrP4odiamXk2A019XiQ5tpxnX/6CTKd+xUPZ5VIgnHxx86gPXfeSFw/9Td27G8IA6DzpLEJaeKnHO1jkn7YRKVtGeI2+JPWKm2peMwBTxMZnFbFGdYxJZigRGbc9miJkvt89H1qMi4z6kU+QUhu1QIQk6OAr1va+vcTwxGr7cHkE833q/duhTXkC6CS8UUte4T1J6tVQCmqIZ8s2jamnVk8QYaitYB4JG3CSjZ7CknZVW+A829o3BHUfbd3DsGX7w61AB90Q80Ra6e2nkMAKOZtn6q8hyqHerqeMzcA/4ATJQVDVnlgX++KVYLSrOSo16X+m4nLKY41PMAqHcwd3l0lR4dR6cF6yoFAjBxqecROxJTLycB+e6Na/HgHZsC9y//0R6U79iJ9sEop/VIJCH4wqOHUb5jJ148GSxMaq6rhT1JAwdKIpmKyUzXw2pLrZWSby2wp6sXhPR56bpLK8cxq4Ku39TYMjFE+lVaOdQFawBmUhf0GGgCXMPa2SISgOk8RkEKLSsaAHXHKKAVoUFrC+BfXx7d9fBMW7Q8RpPOuBGEXLyBhmjLvjuP0Qdd6dcHBQs8Po6zUfTdN8TraEsFJaIcaQCm8yi1W0wZa1RVEH3ffUO3EyYGlOfGoUMN0Pky1AKMRSgE1zndoQbofFHjUJfnxqGeh0I0FTCTfiXcKSWWafYkFGXYox5x2eAfbSkhElYvJ0G5bEU+mutqkTzF8dta9zeU79iJnhGVPb2SRc+3/3oC5Tt24s9vtAUe+93HLpSijxJ9Kaqh/+PRTtYa7aPrIq0cJMUWNU5s79uAe0w7WxRBSDW2aKkVAQDWFNJXUOVQazTNQCG9BEjJFXPutTpG+ecBpiSVx+gwVeQWCApBKogEPToOU5VvZpk2tgSmgwhMKtGQOPVeDCC9hBQ+Iw40HAVyqukD70fJvkfjPNZ3j4CxOA40KE5gpFG5jqOzevOq8hyY9PrQMhB5hq+h24mlOamwWeI0YxMIwERQLuYaoWh24fTIelWeA409Tnh9kfeTxe3ECYWidSTeNNobftuutwDwOQMw9VF8hibcXrQMjMX3ukgWBSfv3o6me66Z9tim772I8h07MTg2GSOrJInGf75wGuU7duLB15oDj/33hy5Ac10tLq6WGikSnSmuISe99+3oXtehsROr7Gu4NbJriqloNc1gKkU1pNHgifK7POBQa5QtV2xpVyEI2XGYpjPkrdLGDsbUTwfpOAw4CoD0Im1ssdhIQ01t0CN/FVXmaoEjH0grVrcuilaEVmOK81YCFnvcCEIu3kADY9FlYzuPzXKQKvOjL/tu6HaiNCsZydY4dagdBTS+JpJ1GR+kiQNzOI5A9OsSt8EXIBhoiCQA0+kPRsyxLi6PD20RBmAmPT6c7R+L3zYbILrKoE5Ft2LG58gfgPFFGIBR9DyqC+J4XSSLBsYYmutqZwUcau7ahfIdO+F0qRwbJ1nw/OrvjSjfsRP3/S1Y4vrjW9ajua4W29cIqrJLJJGidiRewKHWqF1BxJaOwzR+Pne5drYU1wDeyegFITsO05jC1BxtbRntBkY6ontd+2HK2lus2tlS5BeEdEfZLqil+GLAlvXRB2A49+t5aGyLMh0kGjwuEoLUMkBmtlC7TbSfodE+4M+f0LwSYvEGGgDKxna9FX5+8Fi/vzxseuY+xWpBSWZ0ffcN8Z6hZsw/kSOCE03J7hdOX5fKKAMNHq8PzfEskAnQ+Jq0osgCMMo2Mys9lHXpiUwsprlvFF4fj2+HWjn2ka6LPXPWnOCqfAfGJr3oGJ6I6C3jWiBTsmhRAg5nvj894LDmW8+jfMdOTLijLEuWLFh+v+8synfsxD3PBsek3n3DajTX1eKmDaUxtEyyKMmtBqxpQNvB6F7Xdog0FbQQglQoWk9tytHa0nqQXquFEKRCsX8okxpbtOr9n2lLaxS2+LzkbBbPOVxKPSUbAO6NzpGdGKYRqiUa21K8gQQh+89E/pqBZho/X6L1MTqfqoLGo+hI7ThK0030OEbtb4b3b6fSsg84+oj6iSIhWNyBhsJ1gNcVvlxsxqjCqVTmRz55wuvjONMb5w41QH9n96nw5WKBdZnuUKfbk1CQbkN9d2QO9dn+Mbi9HNWJsC4ROdRHgZQcCkxMIdpKj/quONfzAGh0U3ppZJUeihDkjPKwaNel0a/nUZGbGrW5EonemEwUcKj/3runPb7yG8+hfMfOqMSDJQuLJ95sQ/mOnfj6E8EWvK9sX4nmulo5slISO0xmoHQjcG5/+G0VOAfO7QOWbNbWFns6kL+a9h0pk2OUhV1ykba2ZJVTlW806zLcQZW+ZRqvS9E6KodvicKWrhPA5Ij2tijr3BLFMWo9QEKQWh8j5W+L5nxR1lDrczewLgeisMVvtx7HyD0KdEUxFe7cPmqz0ThItsgDDUrZd5gDEcKhBoITFiIp+24dGMOkxxf/gYaidRRh6zk1/3YdR4HUfCCtYNZT1flpEQv8KQ513K9L4Tp/uViYzHvn3A51ZooVuQ5b4O8NR0O3M771PBSK1oX/DHk9VH44R4mlEmCq74osMNXQ40RZdkr86nlIJACSzCY019Xi1N3bpz1e/bVnUb5jZ1RaLZLE5oUTnSjfsROfeySYAfz05ZVorqvFJy+rjKFlEomfss1UpRrpxLHeehoPWKax4wjQPlsPRJ6NbX+Drlm1dtYYI4ctGoda2VZrJ9Zio6x3NA61sq3Wzn1qLlWyRBOAObePKlVKN2prS+4KqpSN5hid2wvY0kmjQUtKN5LAZFS27KMJJ458bW0p2+Lff5THqPh8IMmuqSmLO9CQU00RwnD95Z1HSeQjNXfWU9UFDky4fWiLYLRZ0KGO0xGOCpGWw8+hW6FQle9AY88oeAR9U43+ipC4nyJQuJbKxXpOht7G66Z+qzmCUgBQlZ8acQVMQ48TJZlxrOehULgW6Kufv9yqrx7wTMx5vuQ4bMhKSQqcB+Fo6HbGf1BKIvFjTzKjua4WJ77zrmmPV371GZTv2BnRd6QkMXmlvhflO3biE787FHjsw1uWormuFl9+18oYWiaRzGDJRQA4OfiRoJdDrexz0gl0Rzj9TC+HGqDgxeA5YLg9Qlv2A5bkWa2z2thyEWkARFra3rKPfBetphlMZclm2r8vwgq9ln2kG2DT2P8xmei4RxWA2Q+UbtK2zQYArKl03CN17pWqIK0DZACQUUJtypEGPdwTdG7p8Bla3IEGs4XGo4QNNIR2qJVs7OnO8NnY0/6MbVxrNAA0rjIpZf5Ag2eSsvshvkyr8h1wujxojUD48FTnCIoz7HDYLGotNoZIJnL0nCbxoBCBhur8NNR3RTZ54nTncPy3kwD0t3Lf/IJJ87QfAbQupyL4DE24vWjqHY3/YJ1EMoNUmwXNdbU48q2rpz1ecacMOCw0Dp3tR/mOnfjQ/cELzhtritFcV4u7blgTQ8skkhAo2dhInaRz+2lyW2619rYEyuEjtKVlP2W2U7J1tCVCh61lH62lOUkHW7YAPg9VcETCuf0UnNBqmsE0WzaTFkFfffhtvW6g9VAwy665LRdRC3wk4+fHByhZqJctSzaTpkckk0r6zwBjvfoEGoBgACaSa4v2N8l30cGWxR1oAMh57Dga+kC4x8l5DOFQrynJgNViwv6mvrBvte9MH5YXOJCRosMXkJaYzBR5nC8A03OSStVCOI4by7MA0N88H5xz7DvTh43lOvyD0JrMchJMmi8AE8ah3lieBafLgxPt85cn9jpdeLvLmRjrEsnkic6jgNkWUhF6Y3kWjrUOYTSMQv8bZwfg9nJcWJGl1lqJJKZkJCehua4WB79+5bTHK+58Bsu/9myMrJJowfG2IZTv2Il/+uXewGOXLs9Dc10t7r1VY+ExiURLbGlA4RoqK4+Ec3vJKdHDic1cQiPoI8nG+nwUaNDLWStcR4m3SLQRXE7yJ/SorAAoCw9EdowGW2hMqG7OfRQBmM5jpBegR5sNEPwbIzlGin6CbrZspurdSCaxKcdRj6ogxZaRDqrIidgWWdGgPYVrSbF08Ozcz3e9ReXyIRxHe5IZF5Rl4dWG+R1ql8eLA8392Fo5u/0iLlGED30hlNKV8SeFc481WlGQhpxUK/Y2zr8ujT1O9Iy4sLVSwzFAemEy0brMN76m4zCVzYWI8m/x/52vhVkXZd0SYl0yy0h1ej4FYmVmcYgo/9bKXHh8HK83zx+Rfq2xD2YTw6ZECMBIJPOQ67Chua4We+98Z+CxSa8P5Tt24qLvvxhDyyTR0tDtRPmOnbj2vlcCj9UsyURzXS0e+uiFMbRMIomCJZtpkoTXPf92zh6gv1E/hxqIvBy+5xTpSugVaDAnASUXRObctx0if0EvW1KygbyVkVV6BAQPdTpGOVUkeh6Rc6+T+KJC8fmAKSmyY3RuL1XulFygjy3RBGDO7SN9CS1Hsqq1pWU/yQnMIREgigw0VFxGv08+PffzJ/9KJ2XZ1pC72FqZg7c6htE/GrpU5vC5QUy4fYnhOALAsksB1zDQ9Pe5nz/5FE0byF4259OMMWypzMGrjb3zlgQrAZqECcBUXELjhebq1/P5gFM7gfJtIXu/8tPsqM534NWG3nnf5rXGPqTZLFhbouHYKL1gjNbl9LNzizeN9gJnX6NtQnDB0ixYzSa8FnZderGuNANp9jivCpJIIqQoIxnNdbX4+5cvCzzWNexC+Y6d2H7vP2JnmCQsLf1jKN+xE1f+OPh/siI3Fc11tXji09tiaJlEooKyzYB7LHw2NqCUr1O2XNn3cBtl5iOxRc+gR9lmoPM4VSzMx7l9AFiw8kAvW1peD6+NcG4fkJRK1cl6wBgFDiJ17jPKSDdAD5KSgeKayAMwRetJT0EP0gqBzKWRVeMo+gwmnVzx/PNI9DKcLYGqIH0+QzLQkFtFSq5HH5n9nM8HHHsMqLoScOSF3MXWKnKS52sTeLWxDyYGXLQsQQIN1e8CbBnA0UdnP+fsARp2A+tunvcDsq0qF13DLpzpHQ25zWuNvSjNSkZZTooWVuvPulsAcODY47OfO/caMNQCrLt13l1sq8rFgeZ+THpC/6PY29iLi5Zlw2JOkI/ouvcBo93AmT2znzv+Z4ryrw+9LslWMzYszZy30mNkwo0jrUPYlihBKYkkCpbmkIP6/OeCAblTnSMo37ETt/46wnJmiSF0DU+gfMdOXPyDlwKPZaZQS8xLX7osdoZJJCJEqo1wbh+1QhbX6GiLMiownC37afpZiKSXJizZTNcwbQfn365lHzl3yZn62uIaml+UXLFlySbSotOLsotIZ8DZHXobzoNaEXpStpm0K+abCueZpKoTvSpOArZsCa+NMNpH+hZ6BshMZgp6hfs899WTdoVOFScJ4sXozLr3UQS3e8YH9+yrFFFdd8v8Ly/NQKrVPG+Wem9jL9aWZCAjOUEysUl2YPUNwFt/BSZnBAqO/4m+dNe9b95dKNUbobLUXh/H3sa+xKnyAICcSqBk49yBqaOPUAR55TXz7mJLZQ4m3D68eW5gzufbBsfR3DeWOFUeAFB9NZWAhVqXgrVAwep5d7G1MhdvdQxjIERl0IHmfnh9PLHOF4kkSlYUpqG5rhZPTsmI7ztD4oL//LswF7oSXekfnfS3tuye9njTPdfg8DevDvEqiSRBSC+mzHO4DGjLfipXt9j0syV/NWB1hM+Yn9urn+ChwpJNANj8Jeg+L/X/6+5Q+/c/ny0Tw0DXCf1aFRSU/c8XDBo8Czg79XWoFVu8k2Fam4+QfoLetpRdBIz2UBAmFMqa6R702ExC7eODobdRPmM6VSjJQAMArLmJ2iNmOklH/0hfdCvmdxyTzCZctCwnpB7BqMuDN88NYksiOY4ABRLco8CpZ6Y/fvQR0ioIM4O2LDsFJZnJIfUr3mofxvCEB9uqEmxd1t9K86Y7jwcfc08AJ54EVkiJ17wAABsBSURBVF0XtiRr87IcmFhonQYlMLO1KoEcaosNWP0e4NTT08sL+xopCxAmWAcA26pywHnoyqBXG/pgtZiwYakUgpQsfNb7e/wf+UTwQuT5E10o37Ez8PPIgQhEniSqGZ5wY/u9/wis94a7d017vumea9BcVwump5MjkRhJ2eb5s7HucdJc0ttBMlvCZ2NHOsmR1bOFAyANqoLV8zv3XSeAyRH9bcmqABwF89vSeoAmgel9jIprqLJlPlvOGdBmAwSDB/PZEmj5iYMAzLm9gNlKFfW62hLB2Npz+4GUXEqk6oAMNACAIx+ofCdw9LFg35N7nLL5q64HrOHL+rdW5uBM7yg6hmaPczzQ3A+Pj2NbIjmOAOlSZCyZHoDprafypDDtAQDpNGytzMHeM33wzTHO8bVGcqi3JEo7icLq9wAmy/R1qX+eytnWz1/lAZDq/JqSjMDfP5PXGvuQk2rFioIEG+G47n3U33lqit7J0UcAMGDte8O/vDSTKoPmWZeNS7NgT9J49rFEEsdctCwHzXW1ePCO2X2/X/nTsWmBh5/seluOyRSgc2gCa7/1fGA91337hTnH7p75vgwwSBYoZRcBzi661puLlv00cUxvZw2g9+g6TmXmc9HsF1/VO3MPkMPWeiB0aX7AFp2z5YzRe5x9NbROQ/MrADPRmE09sdiAkg1A88uht2l+mXQCwiQmhXHkkUDlvLa8AmSVk46CnuStpOBUUxhbimqoelxPlLG1TSH0njgnW5boVxUkAw0K62+lUTDnXqP7bz9HYogROI5AUMzwtTmy96819sFqNmHj0gRTyjeZgLU3A41/C/ZgHX2EvsDW/FNEu9hWlYuhcTfe6hie9dyrjX2ozncgP13nD5rWpOaSbsexx4NTOY4+SlHmiksj2sXWyly8eW4QY5PTxRM553itsRdbKnMS7yK2bDNNoFACMJzT7WWXUklmGJLMJlxYkT1npUef04WTHcOybUKyaLlsRT6a62rRXFeLI9+6GssLHLO2+enuelTc+UzAUf7yY0fgnSPIKyFO+zUwlJ/N9+zGyBwjdr//nrWBtW+uq4XJlGDfzRJJpKyoJcfk8MNzP//mw+Q4ziPurBmrrgfAqbp4Tlt+T6LkempFKJx3PTDpJIH4mXBOthSuA7KWGmDLDdTW3bRn9nNeD3Dkj8Cyy2lkqd6sup5aEqZW+Cq4nMCJJ4CVtSEF0jW3pfFvwFDb7OdGOoH6XVR1rDcmE7DyOuCtJwHX7EA1ut6ihK0RtlhTyV85+ujc02SaXwaGztH5rRMy0KCw4hpqk3j5P4GDvwX2/gJIKwLKL47o5SsL05Cdap0zG/taYy/OL8tEsjUBM7Hr3kd6DC9+GzhwP3D4D+RMpxdF9PLgOMfp6zLp8eFAU3/iOo7rbgFG2oG/fRfY/2vg7ecpKBPhl+nWyhwa59g0fZxjY88ouoZdiaXPoMAYnS9n9tDnZ889wEBzWC2PqWytzMWZnlF0Dk3PGuw7Q+u0NdHabCQSHchITsILn7804Pie/u52vHNl/qztHjvUisqvBgMPH/iffZhwhxhZvAjY29g3LbDwrhBTPX7z4Y3TAgsfuKjMYEslkhiRXgQs306BBs8MvaSxfnKe1r1PP9X+qRScB5ReCBx8YHYrR/8Z4MxLwIYPG+PEll9CbQsHH5j9XOtBoPsEsPEO/e0AgJXXAsnZwKEHZz9X/wJdmxply/pbqX1iLluOP07BmQsMsmXDh6ll5M3fz37uzd+RL2OULRvvoNbzY4/Nfu6Nh6htouaDxtni7KQE+kwOPkD6aufdoNvb6yhHmmBYU8hRPPQARcQA4JIvR/wFZjIxbFmWg1fqezHh9gbKuzuGxnGifRifu0KnOal6k7+SSmoOPxyMcF99d8QvL0i3ozIvFS+e7Mb/u3hZIEu/90wfxt3exNOtUFhxDSkdv/Jjus/MUX1pbCzPQpKZYffJbly2Iugg7D7ZBQCJ12ajsP79wKs/BZ6/k+4nZ9E/xQhRdClePNmFD20OZgZ2n+yCw2bBukQY9ymRGIzNYsZvPxJsrfD5OL7x5HE8vH+6hsNrjX1Y+Y3gxUZ5Tgqe+PQ2ZKZYDbPVSP56pB2f/cObYbd74tPbULNER6V4iSSR2HgHcHon/ax+T/DxI38AvC7jnFjFlic+SSOyy6eMjH3jf+m6a8NtxthhMgEXfAR48VtAz2kgb0XwuUMPkhD42puNsSXJDtR8ANj/31Rt7JgSZD70IOAopGCREaRkA6tvpOrVq74zPQB16EGawrHkQmNsya6gSo43/he45EtB/83nAw79L1Xh6KRDMIuSC2i06MEHKLihVCi7x+lztOp6INWg6/yqq4C0YjoeU6sonD3AyaeATR+nEaE6IQMNU6n9MXDZDv8dNv3DGwHv27QEO4914DtPvYV7bloLt9eHf/vDYdgtZtxQE750PG65/WkafQIA5iT6YomC919Yhu/uPImHXmvGR7ZVYGB0El/98zGUZCbj4uoEDTQkJQOfOxoUPrTYAHt6xC9PsVrwnvNL8Pv9Z/Gu1YV4R3UuTnUO4ycvvo2tlTkoy06QcZ8zyakE/r2JlH0B+qcTxRfYqsJ01CzJxH88ewrbqnJRkZuK54534s9vtuGj2yoSZ9ynRBJDTCaG771nLb73nrUAqCXrF3sa8cPnT0/brrlvDDV3BQUOk8wMf/viZViSoN8///OPM/jeM2HGvgHY86XLUJ5rQEZWIklEKt9J+lwHHwgGGjin+6UXhp0gpSnn3Qg8u4OSgEqgwTNJWevl2yNqy9SMmg9SFeuhB4Ht99Bj44M0iW3dLca0Kihc8BFg789oHS7+Aj022AI07AIu/iJdqxtpy9FHaJS5EvhpPwy0vwm8+wf6TgSZycY7gEc/DDS8CCx/Fz3W+DdqD7jqO8bZwRityzNfonUo8Ys+nngCmBii54zCbKFqj7//BzBwNtjec+T/SG9F58ChDDRMxWQSEgm5ZHkePnlZJX65pxEbl2bh7a4RvN7cj5/eWpPYFzUWK5BWoPrlH91WgX1n+vG9Z05ibWkG/mt3A3pGXHj8k1uQakvgUzApWSgK+O3rV+NwyyA++8c38cgnNuOTv38DafYk3HtrTeLpM0zF5qAfFZhMDD/7wPm49r5X8MnfH8K9t9bgy48dwfrSDHzl3SvC70AikcyCMYZPX16FT19eFXjsz2+04guPHpm2ndvLcfEPXpr22NOfeQfWxGElEecc3/7rCTy09+y825VkJuOv/7oNOQ4dR/FJJAAYYzcD+DaAVQAu5JzPOY+WMbYdwE8BmAH8hnNeZ5iRkWAyAxtuB176Lk2Oyqkk8cG+euCGXxhrizWFyvMPPUBOa0o2VVqM9hjrrAEkOLjqWuDw/wFXfIsqC44+CnjGja3yAIDcamDpO6gMf9vnyH95438pILThw8baUrYFyF1BARgl0HDoAcBij6p1VhOUauNDDwYDDYceoKkKUVTXasK6W4Bd36T3VwINhx4g0crydxhry4bbgH/8gM6RK77hr/J4kET/8/S9thby8hhj2QAeAVAOoBnALZzzgTm2+zyAjwPgAI4BuINzHkK6NbH54lXL8ea5Adz5l2OY9Pjwoc1luKGmJNZmxRSTieE/b16Pa3/2Mt7/P/sx6fHhuzeuwbrSxV2qmmK14JcfugDX3/cKau97BV4fx/99/CLkpyWYOKbGlGal4N731eCOBw/g+vteRbLVjJ9/cANslgTUOJFI4pSbNpTipg2lgfsv1/fgtvtfn7Xdtfe9YqRZwlxYno0HP7oJKdYEDmJLEpXjAG4C8KtQGzDGzAB+DuAqAK0ADjDG/so5f8sYEyPk/A+SztKeOiqNP/hbwJYxvZXCKC64HXj9V2TPsstIAypjCVB1RQxsuQM48RfgHz8k5/HAb4Ci9UDx+cbbsvEO4E8fo8qGnErSIai6kkS5jYQxsuW5HeS8puSQWPrqm4Bkg6/zzUnA+R8CXr2XbGAMOP0ssPVfKWlqJPYMEs4/9ieg+mqqDG/ZD1z9XWOrPAAgo5RsePN3dN72N5HOyaU7wr9WECYyCosx9gMA/ZzzOsbYDgBZnPOvzNimBMArAM7jnI8zxh4F8Azn/MFw+9+4cSM/eHDOgHBc0z0ygevuewWF6XY8+i9bpIPk53jbEP7pl6+hdm0R/vOW9YmdtdeQp4+24zN/eBN3vnslPnGJQf1jCcBPdr2N+/5Wj/tv34TL5xC6iyWMsUOcc51nR8UHifo9LBHjRPsQav8r/oMMN9YU40c3r5dtVYuQeP0eZoztAfCluSoaGGNbAHybc/4u//07AYBzfk+4/Rr+XfzIbdOnLGz+VLBlwGh+++7gVDgAuOKb1CJgND4f8IuLgN63g49df5/xVQQA4HEBP1kDjHYHH3v/I8AKg/QZpjLWD9y7lsQfFT6+W/8Rm3PR3wT8bCPg808QMlmAT79unD7DVNrfBH59WfB+UgrwuePG6TNMpX4X8PCUUfMpucDnT2gyYnO+72LRQMNpAJdxzjsYY0UA9nDOV8zYpgTAPgDrAQwDeALAf3HOXwi3/0S+wB2ZcMNqMckgwwwGxyaRkZwkgwwzGBidRFbqwhRkE2FozI2MFAN7DSMkXi9w9SCRv4cl2tE6MIav/eU4xmM8teIdVbn4zDur5P8QSdx+D4cJNLwXwHbO+cf9928DcBHn/F9D7OsTAD4BAGVlZRecPTt/q5CmTI5RuwRZAuStND4rrDAxTBlYxkgEMn+VMdMm5mKsHxhqodumJFoXU4wCnc5uYKSDbluSgbwYCs8Pt1NLC0BT/GLh2CsMnAUmBum2PdOYsaOh6GsMBmBScoGMGFa597xNrT4ATVaMUoswFPN9F4vWFhZwzjsAwB9smGUx57yNMfYjAOcAjAN4IZIgQ6KTZo8/5ygeWKjq5qLIIMPcxGOQQSJZjJRmpeChjxqkHi6RxCmMsRcBzCXm9TXO+ZOR7GKOx0Jm/Djnvwbwa4CCvhEZqRXWFGoLiAfs6UBxTaytIFKyoxZF///t3X2sZHV9x/H3J6wUlocuyEOWJ0ELVkMq4qqo1WjAWrfGlcSmxlKooWmMpdraB7GtFZsmxT6axsZGwYoiWkpBt0gjLdqSlIqgLrAUCygWFyiLFFtD2ir22z/O2WTYvXd37p0zc2bOfb+SyT3zdM/nO+fMnN/93d/5zdQcfFRnfyxO7NBjZjs5594c9jSgx86FUX12uOyuh46ofXY07O1DdZwVJDkM2AKcBHwb+Ksk51TVEl90ukfv7TirkKQ1zflyJGn6quqsCX/FDuD4kevHAQ9O+DslaS7tc6xPVZ1VVacucfk08HB7ygTtz51L/IqzgPuq6pGq+h5wNfDivazvg1W1qao2HXnkkaurSpLWlguBG6rqZOCG9vqTtKexvRXYVFWn0sx4/oaZppSkte0W4OQkJyXZn+YzeOs+niNJC2nSk4q2Aue1y+cBSw0bux84I8n6NCdVngns+4uuJUnj2gJc1i5fBrxumcetAw5Msg5Yj/9Jk6ROJDk7yQ7gRcBnkny2vf2YJNcBVNUTwAXAZ2nawldW1Z19ZZakaZp0joaLgSuTnE/TofCT0Hyo0nw38OaqujnJVcCXgSeAr9CebyZJ6oTz5UhSj6rqGuCaJW5/ENg8cv064LoZRpOkXkzU0VBVj9KMUNj99t0/VN8NvHuSdUnSWjbL+XKcK0eSJEmTmHREgyRpBvY2CVmSh5NsHPmq4b3Ol9M+Z9d8OXt0NPQ607kkSZIWXk9f/CpJ6pDz5UiSJGlu2NEgSYvvYuCVSe4BXtle330SspuBXfPl3EHz+e98OZIkSeqcp05I0oJzvhxJkiTNE0c0SJIkSZKkzqRqfuf5SvII8G8rfNoRwLemEKdPQ6wJhlnXEGuCYdY1SU1Pq6ojuwwzr1b4OTwv+4k59jQvWczxZObY07hZ1sznMNgmHjHEmmCYdQ2xJhhmXVNpE891R8NqJLm1qjb1naNLQ6wJhlnXEGuCYdY1xJr6Ni+vqTn2NC9ZzGGOfZmnLItuiK/lEGuCYdY1xJpgmHVNqyZPnZAkSZIkSZ2xo0GSJEmSJHVmiB0NQ/y6tiHWBMOsa4g1wTDrGmJNfZuX19Qce5qXLOZ4MnPsaZ6yLLohvpZDrAmGWdcQa4Jh1jWVmgY3R4MkSZIkSerPEEc0SJIkSZKkngymoyHJjyf51yT3Jrmw7zxdSfKNJHck2Zbk1r7zrFaSDyfZmWT7yG2HJ/m7JPe0Pw/rM+NKLVPTRUkeaLfXtiSb+8y4UkmOT/L5JHcluTPJ29rbF31bLVfXQm+vvo27XyT55fZ1357kE0kO6CnHhiRXJflquy+8qI8c7WP3S/KVJNd2mWElWZZ7X3Sw7r0ej9P40/b+25Oc3sV6V5nlp9sMtye5Kclz+sgx8rjnJ/l+ktf3lSPJy9vPwzuT/GMfOZL8YJK/SXJbm+NN08gxVLaJ55tt4sVgm7iD7VVVC38B9gO+Bjwd2B+4DXh237k6qu0bwBF95+igjpcBpwPbR277feDCdvlC4L195+ygpouAX+072wQ1bQROb5cPAe4Gnj2AbbVcXQu9vfq+jLNfAMcC9wEHttevBH521jna+y4Dfq5d3h/Y0EeO9v63A1cA1/a4bZZ8X0y43n0ej4HNwN8CAc4Abp7SazBOlhcDh7XLr55GlnHbKO3jPgdcB7y+p9djA/AvwAnt9aN6yvEbu/ZZ4EjgP4D9p7GfDO0y7v62iBdsE8/tZZmaLmKB21jLHSMHsK1m1iYeyoiGFwD3VtXXq+q7wCeBLT1n0oiqupGmoTBqC03Dn/bn62YaakLL1LTQquqhqvpyu/wd4C6aPxQXfVstV5cmM+5+sQ44MMk6YD3w4KxzJDmUpiF0KUBVfbeqvj3rHG2W44CfAC7peP0ryjKl98U4x+MtwEer8QVgQ5KNE653VVmq6qaqeqy9+gXguD5ytH4R+Gtg5xQyjJvjjcDVVXU/QFVNI8s4OQo4JEmAg2mOtU9MIcsQ2Saec7aJF4Nt4skNpaPhWOCbI9d3MJw/Igq4PsmXkvx832E6dnRVPQTNTg8c1XOerlzQDsP98KINpxqV5ETgucDNDGhb7VYXDGR79WSf+0VVPQD8IXA/8BDwn1V1/axz0Px37xHgL9pTFi5JclAPOQDeB/w68H8dr381WYAl3xerNc7xeFbH7JWu53yakRYzz5HkWOBs4M+nsP6xcwCnAIcl+Ye23XFuTzneDzyLplPyDuBtVTXN98uQ2CZeTINpZ+1mEG0s28SrM5SOhixx21C+TuMlVXU6zZDOX0jysr4Daa8+ADwDOI3mj6o/6jfO6iQ5mOY/a79UVf/Vd56uLFHXILbXNCX5+zRzK+x+Ges/ZO2BagtwEnAMcFCSc2adg2ZUxenAB6rqucDjNEMeZ5ojyWuAnVX1pZWuu+ssI7+ny/f7OMfjWR2zx15PklfQdDS8o6cc7wPeUVXfn8L6V5JjHfA8mhE3rwLeleSUHnK8CthG85lxGvD+dlSS9s02sebFINpYtolXb92kv2BO7ACOH7l+HN0Pze1FVT3Y/tyZ5BqaIXE39puqMw8n2VhVD7XDZqc1XHRmqurhXctJPgRMZaK3aUryFJoPno9X1dXtzQu/rZaqawjba9qq6qzl7ksyzn5xFnBfVT3SPudqmvPiL59xjh3Ajqra1Wt/FavoaOggx0uA17aTLB0AHJrk8qpacedLB1mWe79PYpzj8ayO2WOtJ8mP0JzG8uqqerSnHJuATzZnCnAEsDnJE1X1qRnn2AF8q6oeBx5PciPwHJpzeGeZ403AxdWcRHxvkvuAHwa+2GGOobJNvJgWvp21uyG0sWwTT2YoIxpuAU5OclKS/YE3AFt7zjSxJAclOWTXMvBjwPa9P2uhbAXOa5fPAz7dY5ZO7Hae8dks2PZqz4e9FLirqv545K6F3lbL1bXo22sOjLNf3A+ckWR9ux3OpDkfcKY5qurfgW8meWZ705k0k97NOsc7q+q4qjqR5lj1udV0MnSRZS/v90mMczzeCpybxhk0p9M81NH6V5QlyQnA1cDPVFWXf0yvKEdVnVRVJ7b7xVXAWzruZBgrB81+8tIk65KsB15I9+/XcXLcT/MeJcnRwDOBr3ecY6hsEy+mhW5nLWXR21i2iTvYXkvNELmIF5pZrO+mmWn3N/vO01FNT6eZLfg24M5Frgv4BM0wnO/R9LafDzwVuAG4p/15eN85O6jpYzTnk95O80G0se+cK6zpR2mGWN5OM2x1W/veWvRttVxdC729+r4st1/QDHe+buRx7wG+SnPQ+hjwAz3lOA24td3en6L9toFZ5xh5/MuZ3rdO7DPLcu+LDta9x/EYeDPw5nY5wJ+1998BbJriPrqvLJcAj43Uf2sfOXZ77EeYwrdOjJsD+DWaTrjtNENq+9guxwDXt/vHduCcae0jQ7ws9fou+gXbxHN9WaamhW5jLXeMHMC2mlmbOO0KJUmSJEmSJjaUUyckSZIkSdIcsKNBkiRJkiR1xo4GSZIkSZLUGTsaJEmSJElSZ+xokCRJkiRJnbGjQYOXZEOSt/SdQ5IkSeqLbWLNkh0NWgs2AH6oSlIPkmxMcm27fFqSzSP3vSbJe/pLJ0lrim1izYwdDVoLLgaekWRbkj/oO4wkrTFvBz7ULp8GbB657zPAa5Osn3kqSVp7bBNrZlJVfWeQpirJicC1VXVqz1EkabCSPB+4FHgBsB/wReCngK3As4AC7gUOBB4Afq+q/jLJnwD/XFVX9hJcktYI28SapXV9B5AkSYuvqm5JshX4XZrOhMuBx4HHqup/AZL8NrCpqi4YeeqtwEsBOxokSRoIOxokSVJXfge4Bfgf4K3AC4FH9vGcncAxU84lSZJmyI4GrQXfAQ7pO4QkrQGHAwcDTwEOAP67/bk3ux4nSZou28SaGSeD1OBV1aPAPyXZ7sQ3kjRVHwTeBXwceC9wN3DiyP1LNXJPAbbPIpwkrWW2iTVLjmjQmlBVb+w7gyQNWZJzgSeq6ook+wE30Zw68bUkP1RV9wKfBy5Mso12MkjgFcA7ewsuSWuIbWLNit86IUmSpibJ2cDzquq3lrjvaOCKqjpz9skkSdK0OKJBkiRNTVVdk+Spy9x9AvArs8wjSZKmzxENkiRJkiSpM04GKUmSJEmSOmNHgyRJkiRJ6owdDZIkSZIkqTN2NEiSJEmSpM7Y0SBJkiRJkjrz/wMuv5rdmMbYAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def RK4(phi1,phi2,tt,y0):\n", "\th = tt[1]-tt[0]\n", "\tq = [y0[0]]\n", "\tp = [y0[1]]\n", "\tfor i in range(len(tt)-1):\n", "\t\tqtilde = q[i] + 0.5*h * phi1( tt[i], q[i], p[i] )\n", "\t\tptilde = p[i] + 0.5*h * phi2( tt[i], q[i], p[i] )\n", "\t\tqv = q[i] + 0.5*h * phi1( tt[i]+h*0.5, qtilde, ptilde )\n", "\t\tpv = p[i] + 0.5*h * phi2( tt[i]+h*0.5, qtilde, ptilde )\n", "\t\tqhat = q[i] + h * phi1( tt[i+1], qv, pv )\n", "\t\tphat = p[i] + h * phi2( tt[i+1], qv, pv )\n", "\t\tq.append( q[i]+h/6*( phi1(tt[i],q[i],p[i]) + 2*phi1(tt[i]+0.5*h,qtilde,ptilde)+ 2*phi1(tt[i]+0.5*h,qv,pv)+ phi1(tt[i+1],qhat,phat) ) )\n", "\t\tp.append( p[i]+h/6*( phi2(tt[i],q[i],p[i]) + 2*phi2(tt[i]+0.5*h,qtilde,ptilde)+ 2*phi2(tt[i]+0.5*h,qv,pv)+ phi2(tt[i+1],qhat,phat) ) )\n", "\treturn [q,p]\n", "[q_RK4, p_RK4] = RK4(phi1,phi2,tt,y0)\n", "Ec_RK4 = [p**2/2. for p in p_RK4]\n", "Ep_RK4 = [-math.cos(q) for q in q_RK4]\n", "Et_RK4 = [Ec_RK4[i]+Ep_RK4[i] for i in range(len(Ec_RK4))]\n", "print ('RK4 : |energie totale (t=Tfinal)-Energie totale (t=0)|=', abs(Et_RK4[-1]-Et_RK4[0]))\n", "\n", "figure(figsize=(18,5))\n", "subplot(131)\n", "plot(tt,q_RK4,tt,p_RK4)\n", "xlabel('t')\n", "legend(['x(t)','y(t)'])\n", "title('RK4 - x(t) et y(t)')\n", "subplot(132)\n", "plot(q_RK4,p_RK4)\n", "xlabel('x(t)')\n", "ylabel('y(t)')\n", "title('RK4 - y(x)')\n", "subplot(133)\n", "plot(tt,Ec_RK4,tt,Ep_RK4,tt,Et_RK4)\n", "xlabel('t')\n", "legend(['Cinetique','Potentielle','Totale'])\n", "title('RK4 - Energies');" ] }, { "cell_type": "code", "execution_count"