{ "cells": [ { "cell_type": "markdown", "id": "81e582a9", "metadata": {}, "source": [ "# Ondes internes et effet de Foehn.\n", "\n", "**Enseignement CLAT à l'ENSEEIHT - Benoît Hesse**" ] }, { "cell_type": "markdown", "id": "11dc0a24", "metadata": {}, "source": [ "## Plan de la présentation:\n", "* Présentation générale du format H5P\n", "* Description de l'effet de foehn + animation flux sud/nord sur les pyrénées\n", "* Equations des ondes internes / de la CLA\n", "* Approximation de Boussinesq, approximation en montagne\n", "* Analogie avec les cellules de Hadley et la ZCIT (Charlotte)\n", "* Génération d'ondes internes par l'effet de foehn (Benoît)" ] }, { "cell_type": "markdown", "id": "a2097a50", "metadata": {}, "source": [ "## Effet de Foehn - explications\n", "En présence d'une stratification, des ondes internes peuvent exister et se propager dans la couche limite atmosphérique. Ces oscillations peuvent naître d'une perturbation dans la stratification en densité de cette couche de l'atmopshère. Quand ces ondes sont générés par la topographie ou le relief comme une chaîne de montagnes, on parle d'ondes orographiques.\n", "En effet lorsque une masse d'air en basse couche rencontre un obstacle dû au relief, elle subit un forçage et la masse d'air s'élève. La masse subit donc un refroidissement adiabatique sans apport d'humidité jusqu'à, dans certains cas, atteindre la saturation, l'eau peut ainsi condenser puis précipiter sur le versant amont de la montagne réchauffant ainsi l'atmosphère. Si il y a condensation et précipitation, on parle de Foehn humide, dans le cas contraire on parle de Foehn sec.\n", "\n", "Si la couche est stable au dessus de la montagne alors l'air ayant subi le forçage ne peut plus s'élever, la masse descend donc sur le versant aval et subit alors lors de la subsidence une compression adiabatique. Ainsi, l'air se réchauffe ce qui explique les fortes températures relevées lors de ces événements. " ] }, { "cell_type": "markdown", "id": "4e234ecd", "metadata": {}, "source": [ "Regardons maintenant ce qui se passe avec les équations:\n", "\n", "Tout d'abord, supposons que la couche limite atmosphérique est stratifié et stable: ${\\partial\\theta\\over \\partial z} > 0 $\n", "avec $\\theta = {T({P_0 \\over P})^{R_a\\over c_p}}$ la température potentielle\n", "où:\n", "* $T$: la température de la masse d'air\n", "* $P_0$: la pression standart de l'atmosphère\n", "* $P$: la pression de la masse d'air\n", "* $R$: la constante des gaz parfaits\n", "* ${M_{air}}$: la masse molaire de l'air\n", "\n", "On se place dans l'approximation de Boussinesq c'est-à-dire l'état thermodynamique de l'atmosphère s'écarte peu d'un état hydrostatique et adiabatique que l'on qualifie d'état de référence. On obtient les approximations suivantes:\n", " * Etat au repos $\\vec{u_r} = 0$\n", " * Etat hydrostatique ne dépendant que de z\n", " * Etat adiabatique: $\\theta _r(z) = Cste = \\theta_0$\n", "\n", "Ces approximations permettent d'obtenir une formulation incompressible des équations de Navier-Stokes appelée **Système de Boussinesq**\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "f0223c14", "metadata": {}, "outputs": [], "source": [ "#Importation des packages nécessaires à la résolution numérique\n", "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from numpy import linalg\n", "import matplotlib.animation as animation\n", "from mpl_toolkits.mplot3d import Axes3D \n", "from matplotlib import cm\n", "from matplotlib.ticker import LinearLocator, FormatStrFormatter" ] }, { "cell_type": "markdown", "id": "2b5d8497", "metadata": {}, "source": [ "## Numéro de Froude\n", "\n", "Les météorologues utilisent le nombre de Froude pour déterminer si les conditions sont réunis pour permettre l'existence d'ondes de gravités internes lors du passage d'une masse d'air sur un relief comme une chaîne de montagne. Dans le cas général, le nombre de Froude est le rapport entre l'énergie cinétique et l'énergie potentielle. Dans notre cas, il est le rapport entre la vitesse horizontale de la masse d'air et l'énergie potentielle à surmonter dépendant de la stabilité de la masse d'air. La masse d'air oscille ensuite comme une onde interne à la fréquence de Brunt-Väisälä N.\n", "\n", "Le nombre de Froude s'exprime donc: $$Fr = {u \\over Nh}$$ avec $${N=\\sqrt{{g\\over\\theta}{\\partial\\theta\\over\\partial z}}}$$\n", "\n", "On peut interpréter le nombre de Froude tel que:\n", "* $Fr<1$ : La masse d'air contourne ou est bloquée par le relief\n", "* $Fr = 1$ : La masse d'air oscille en aval du relief\n", "* $Fr>1$ : La masse d'air oscille et déferle en aval du relief" ] }, { "cell_type": "code", "execution_count": 4, "id": "7a772000", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "Text(0, 0.5, 'Nombre de Froude')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Figure du nombre de froude avec vent variant et Nh fixe\n", "N = 0.012 #Hz (valeur typique de la fréquence de Brunt-Vaisala)\n", "h = 1000 #m\n", "\n", "#On prends des vitesses allant de -10 m.s-1 (vent de Nord) à 10 m.s-1 (vent de Sud)\n", "U = np.linspace(-10.0,10.0,100) #Vecteur de vent méridien\n", "Fr = np.abs(U)/(N*h) #Tableau des valeurs du nombre de Froude\n", "\n", "plt.figure()\n", "plt.plot(U,Fr,label='Nombre de Froude en fonction des variations de vent')\n", "plt.title('Nombre de Froude en fonction des variations de vent')\n", "plt.xlabel('Vent méridien (m/s)')\n", "plt.ylabel('Nombre de Froude')\n", "plt.show()\n", "\n", "#Figure du nombre de Froude en faisant varier Nh \n", "U = 18.0 #vent méridien en m/s\n", "Nb=np.linspace(0.1,5.0,100) #On fait varier le dénominateur entre 0.1 et 5\n", "Fr=np.abs(U)/Nb #Tableau des valeurs du nombre de Froude\n", "\n", "plt.figure()\n", "plt.plot(Fr)\n", "plt.title('Nombre de Froude en fonction des variations de N et h')\n", "plt.xlabel('N*h')\n", "plt.ylabel('Nombre de Froude')" ] }, { "cell_type": "markdown", "id": "2660c6a7", "metadata": {}, "source": [ "## Représentation d'une montagne\n", "\n", "Dans le cadre de la modélisation des ondes internes ou de l'effet de Foehn, on étudie le cas d'une masse d'air passant sur un relief isolé vu en coupe méridienne (selon l'axe Nord-Sud). Pour représenter plus en détail les variations du nombre de Froude, on modélisera une montagne à l'aide d'une fonction gaussienne:\n", "$$ h(x) = {H_0\\over \\sqrt{ 2\\pi}}e^{-x^2\\over8}$$\n", "\n", "Dans le cadre de l'étude des ondes de gravité internes, on modélisera le relief par une fonction périodique et sinusoïdale:\n", "$$ h(z) = H_m*sin(kx) $$" ] }, { "cell_type": "code", "execution_count": 5, "id": "42662a67", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Représentation d'une montagne à l'aide d'une gaussienne\n", "def gaussienne(x):\n", " \"\"\"x: type numpy\"\"\"\n", " #On ajoute un incrément pour obtenir des valeurs strictement supérieures à 1\n", " return 4400*(np.exp(-(x**2)/16)/np.sqrt(np.pi*2*8)) +1.0 \n", "\n", "x=np.linspace(-20,20,2001)\n", "y=gaussienne(x)\n", "plt.plot(x,y,label='Distribution normale')\n", "plt.ylim(0,1000)\n", "plt.xlabel('Coordonnée x (km)')\n", "plt.ylabel('Altitude z (m)')\n", "plt.title(\"Représentation d'une montagne par une gaussienne\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "dab9f0b3", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, \"au passage d'une montagne\")" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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48ZuZlYwTv5lZyTjxm5mVjBO/mVnJOPGbmZWME7+ZWck48ZuZlYwTv5lZyTjxm5mVjBO/mVnJOPGbmZWME7+ZWck48ZuZlYwTv5lZyTjxm5mVjBO/mVnJOPGbmZWME7+ZWck48ZuZlYwTv5lZyTjxm5mVjBO/mVnJOPGbmZWME7+ZWck48ZuZlYwTv5lZyTjxm5mVjBO/mVnJOPGbmZWME7+ZWck48ZuZlYwTv5lZyXQk8Uv6vKQ7Jd0h6QJJozsRh5lZGbU98UvaGPgsMC0itgG6gIPaHYeZWVl1qqunG1hLUjewNvBkh+IwMyudtif+iHgCOBV4FJgLPB8R17Q7DjOzsupEV8944ADgdcBkYIykQ3qZ7yhJsyTNmjdvXrvDNDMbsTrR1bMn8FBEzIuIV4HLgJ1rZ4qIMyNiWkRMmzRpUtuDNDMbqTqR+B8FdpS0tiQB7wDmdCAOM7NS6kQf/83AJcCtwO05hjPbHYeZWVl1d2KjEfFV4Kud2LaZWdn5zl0zs5Jx4jczKxknfjOzknHiNzMrGSd+M7OSceI3MysZJ34zs5Jx4jczKxknfjOzknHiNzMrGSd+M7OSceI3MysZJ34zs5Jx4jczKxknfjOzknHiNzMrmaYSv6RNJe2Zh9eSNLa1YZmZWav0mfglfZz0qMQz8qgpwC9aGJOZmbVQM0f8nwZ2AV4AiIj7gA1aGZSZmbVOM4n/lYhYUn0jqRuI1oVkZmat1Eziv17S8cBakvYC/hu4orVhmZlZqzST+KcD84DbgU8AvwK+0sqgzMysdbr7miEilgM/zi8zMxvm6iZ+SbfToC8/IrZtSURmZtZSjY74980/P51//lf+eTDwt5ZFZGZmLVU38UfEIwCSdomIXQqTpku6ATip1cGZmdnga+bk7hhJu1bfSNoZGNO6kMzMrJX6PLkLHAGcI2m9/P454PCWRWRmZi3VzFU9s4E3SVoXUEQ83/qwzMysVfpM/JJOqHkPQES4j9/MbBhqpqtncWF4NOlqnzmtCcfMzFqtma6e04rvJZ0KXN6yiMzMrKX68yCWtYHNBjsQMzNrj2b6+It38HYBk/A1/GZmw1Yzffz7FoaXAk9HxNIWxWNmZi3WZ1dPvoN3HLAf8E/AVgPdqKRxki6RdLekOZJ2Gug6zcysOc08evFo4HzSU7c2AM6X9C8D3O73gd9ExJbAm/BVQmZmbdPsnbs7RMRiAEnfAm4C/r0/G8w3gu0GHAaQn+61pNEyZmY2eJq5qkfAssL7ZXlcf21GerDLuZL+LOksSavU/pF0lKRZkmbNmzdvAJszM7OiZhL/OcDNkk6UdCLwR+DsAWyzG9ge+GFEbEe6QWx67UwRcWZETIuIaZMmTRrA5szMrKhhV4+kCnAzcD2wK+lI/2MR8ecBbPNx4PGIuDm/v4ReEr+ZmbVGw8QfEcslnRYROwG3DsYGI+IpSY9J2iIi7gHeAdw1GOs2M7O+NdPVc42k96tanW1w/Avp6qC/Am8GvjGI6zYzswaauarnC6QHryyV9DKpuyciYt3+bjQibgOm9Xd5MzPrv0YPW98xIv4YEWPbGZCZmbVWo66e/6wOSLqpDbGYmVkbNEr8xT790a0OxMzM2qNRH39F0njSH4fqcM8fg4h4ttXBmZnZ4GuU+NcDZrMi2Rcv5wxck9/MbFiqm/gjYmob4zAzszbpzxO4zMxsGHPiNzMrGSd+M7OSaSrxS9pV0sfy8CRJr2ttWGZm1irNPIHrq8CXgOPyqFHAea0MyszMWqeZI/5/AvYn1c0nIp4EXMbBzGyYaibxL4mIIF27T29PyzIzs+GjmcR/saQzgHGSPg78Fvhxa8MyM7NW6bMsc0ScKmkv4AVgC+CEiLi25ZGZmVlLNFOPn5zonezNzEaARvX4F5H79XszkAexmJlZ5zSq1TMWQNJJwFPAf5EKth2Mr+oxMxu2mjm5u3dE/GdELIqIFyLih8D7Wx3YYEoXJZmZGTSX+JdJOlhSl6SKpIOBZa0ObDBUckHp5c77ZmY9mkn8HwY+CDydXx/I44a8ilLmX+4jfjOzHs1czvkwcEDrQxl8lYpgebBseTCqq9PRmJkNDSO6OmeXj/jNzFYxohO/+/jNzFY1whO/j/jNzGo1U5Z5Q0lnS/p1fr+VpCNaH9rA5bxPLO9sHGZmQ0kzR/wzgKuByfn9vcDnWhTPoKpUfMRvZlarmcQ/MSIuBpYDRMRShs11/E78Zma1mkn8iyVNYEU9/h2B51sa1SDxyV0zs1U1U53zC8DlwOsl3QBMAg5saVSDRPmI3yUbzMxWaJj4JXUBb8uvLUhF2u6JiFfbENuAVa/jX+pDfjOzHg27eiJiGXBARCyNiDsj4o7hkvQBunxy18xsFc109dwg6T+Ai8gPXAeIiFtbFtUgqeQ/a8t9OaeZWY9mEv/O+edJhXEB7DH44QyuFV09zvxmZlXNFGl7eys2nM8fzAKeiIh9W7ENX8dvZraqZu7cnSDp/0m6VdJsSd/Pl3cO1NHAnEFYT13dOfEv8wG/mVmPZq7jvxCYR3rq1oF5+KKBbFTSFOA9wFkDWU9fqjdwLfNVPWZmPZpJ/OtHxNcj4qH8OhkYN8Dtng4cS74buFV8VY+Z2aqaSfzXSTooP3axIumDwFX93aCkfYFnImJ2H/MdJWmWpFnz5s3r17a6Kj7iNzOrVTfxS1ok6QXgE8DPgCX5dSHw+QFscxdgf0kP53XtIem82pki4syImBYR0yZNmtSvDfV09fiI38ysR93EHxFjI2Ld/LMSEd35VYmIdfu7wYg4LiKmRMRU4CDgdxFxSH/X10hPV4+P+M3MejRzHT+StgWmFuePiMtaFNOg6fLJXTOzVfSZ+CWdA2wL3MmKk7EBDDjxR8RMYOZA11OP+/jNzFbVzBH/jhGxVcsjaYGexO8+fjOzHs1c1XOTpGGZ+Cs+4jczW0UzR/w/ISX/p4BXSKWZIyK2bWlkg6Cr50EsTvxmZlXNJP5zgI8At9PiG64GW1cuz/nqMid+M7OqZhL/oxFxecsjaYFRXe7qMTOr1Uziv1vSz4ArSF09wPC4nLO7q3rEP6z+UTEza6lmEv9apIT/zsK4Qbmcs9VG5ZO7S93VY2bWo5l6/B9rRyCt0N3lB7GYmdVqph7/FEk/l/SMpKclXZrLKg95K7p6fMRvZlbVzHX85wKXA5OBjUl9/ee2MqjBsqKrx0f8ZmZVzST+SRFxbkQsza8ZQP/KZbZZ9Yh/qa/qMTPr0Uziny/pEEld+XUIsKDVgQ2Gah+/u3rMzFZoJvEfDnwQeAqYS3r84uGtDGqwjKr4ck4zs1rNXNXzKLB/G2IZdD1X9Tjxm5n1qJv4JZ3QYLmIiK+3IJ5BNap6VY/7+M3MejQ64l/cy7gxwBHABGAYJH4f8ZuZ1aqb+CPitOqwpLHA0cDHSM/JPa3eckNJt4u0mZmtomEfv6T1gS8AB5PKM28fEQvbEdhgGOU7d83MVtGoj/87wPuAM4G/j4gX2xbVIOm5jt9H/GZmPRpdznkM6W7drwBPSnohvxZJeqE94Q1Md8XX8ZuZ1WrUx9/MNf5D2hrdqQlLfHLXzKzHsE/ujayZE/8rry7rcCRmZkPHyE78o7oAeHmpj/jNzKpGdOIf3Z0Sv4/4zcxWGNGJf81RuavHR/xmZj1GduLPffwv+4jfzKzHiE78o3Mfv4/4zcxWKEfi9xG/mVmPEZ34ey7n9BG/mVkPJ34zs5IZ0Ym/2tXjk7tmZiuM6MQ/yg9bNzNbxYhO/GZmtionfjOzknHiNzMrmbYnfkmbSLpO0hxJd0o6ut0xmJmVWcNHL7bIUuCYiLg1P8t3tqRrI+KuDsRiZlY6bT/ij4i5EXFrHl4EzAE2bnccZmZl1dE+fklTge2Am3uZdpSkWZJmzZs3r+2xmZmNVB1L/JLWAS4FPhcRqzzDNyLOjIhpETFt0qRJ7Q/QzGyE6kjilzSKlPTPj4jLOhGDmVlZdeKqHgFnA3Mi4rvt3r6ZWdl14oh/F+AjwB6SbsuvfToQh5lZKbX9cs6I+AOgdm/XzMwS37lrZlYyTvxmZiXjxG9mVjJO/GZmJePEb2ZWMqVJ/EuX+bm7ZmZQgsT/mnVHA/D0olc6HImZ2dAw4hP/lPFrAfD4s3/rcCRmZkNDeRL/wpc6HImZ2dBQgsS/NuDEb2ZWNeIT/ybrV4/43dVjZgZlSPw+4jczW8mIT/zVrp7HfMRvZgaUIPG/Zr10OaeP+M3MkhGf+NfoHvFNNDNbLYqITsfQp7Fjx8Zb3vKWhvPsu+++fPGLXwRg991357DDDuOwww5j/vz5TNn+7QDsuNmEussX5z/wwAM55phj2G+//bjnnnv4xCc+0WeMtfN/4xvfYOedd+bGG2/k+OOP73P52vnPOOMMtthiC6644gpOO+20Ppevnf+SSy5h4sSJzJgxgxkzZvS5fO38M2fOBODUU0/lyiuv7HP54vw33XQTl156KQDHHXccN910U8NlJ0yYsNL8CxYs4MwzzwTgqKOO4t577224/Oabb77S/BMmTOCb3/wmAO9///tZsGBBw+V32mmnlebfaaedVvos9aXRZ+/AAw/sc3l/9vzZq84/2J+966+/fnZETKtdzofDZmYlMyyO+KdNmxazZs3q9/JTp18FwMOnvGewQjIzG/Ik+Yj/5VeXdToEM7OOK0Xin7bpeABufWRhhyMxM+u8UiT+Xd84EYD/vX9+hyMxM+u8UiT+t+bE/4f7nPjNzEqR+LedMg6A2594vrOBmJkNAaVI/KO6StFMM7OmlC4jLnjRT+Iys3IrTeL/1O6vB+DUa+7pcCRmZp1VmsT/mbe/AYALbnmsw5GYmXVWaRL/mDW7e4aXLx/6dyubmbVKaRI/wNs2nwTAET/5U4cjMTPrnFIl/rMOTSUrrrtnHvc9vajD0ZiZdUapEv+orgr/8eHtANjre7/vcDRmZp1RqsQPsO+2k+muCEhVO59dvKTDEZmZtVfpEj/AHV/bu2d4+69fy4W3PNrBaMzM2quUiX/0qC4ePuU9PZd4Tr/sdqZOv4r9/v0P7vs3sxGvIw9ikfQu4PtAF3BWRJzSaP6BPoilkUcWLOZt35nZ67QdN1ufd239Gt659WuYPG6tlmzfzKxV6j2Ipe2JX1IXcC+wF/A48CfgQxFxV71lWpn4qyKCX972JJ+76Laml5m83mhev8E6vGGDddhs4hgmjV2T8WuvwYR11mD9MWsybq1RVPL5BDOzdquX+Lt7m7nF/hG4PyIeBJB0IXAAUDfxt4Mk3rvdxrx3u42B9LSuGx+Yz2/ueIqr73ya5196dZVlnnz+ZZ58/mX+t83lnrsrYlRXhVFdYo3uCmt0VViju5LHVRjVXWFURXRVRHeXqCgPV8dVKlQqokvQVamk8V2iK89XnbdSERVBRUJaMdxVSetcMY0V7ysrz1sR+f3K80N1enov0nzV4YpEpQIijahIeR4Ky6jmPT3rhpr15mnVZXrmKoxbabhnXSrMV11GheEc40rbLkzLI4uxFWMobGKVaSuWU837mu2gldex8ttVYq6NuzbmehotU2+x2u2utEyjjVlLdSLxbwwU6yY8DuzQgTgaGj2qiz223JA9ttyQbx+46vRly4MnFr7E/fMWcf8zL/LQ/MXMf3EJCxcv4dnFS1iweEmvfywGw9LlwdLly2jR6s1sCLnkkzsxber6g7rOTiT+3v7Mr9LfJOko4Kj89kVJ/a2uNhEY7k9gcRuGBrdh6BgJ7WiqDf/wrQFtY9PeRnYi8T8ObFJ4PwV4snamiDgTOHOgG5M0q7c+ruHEbRga3IahYyS0o5Nt6MTlnH8C3ijpdZLWAA4CLu9AHGZmpdT2I/6IWCrpM8DVpMs5z4mIO9sdh5lZWXWiq4eI+BXwqzZtbsDdRUOA2zA0uA1Dx0hoR8fa0JEbuMzMrHNKWbLBzKzMRmzil/QuSfdIul/S9E7HU4+kcyQ9I+mOwrj1JV0r6b78c3xh2nG5TfdI2rv3tbaXpE0kXSdpjqQ7JR2dxw+bdkgaLekWSX/JbfhaHj9s2lAlqUvSnyVdmd8PxzY8LOl2SbdJmpXHDat2SBon6RJJd+fvxk5Dpg0RMeJepJPGDwCbAWsAfwG26nRcdWLdDdgeuKMw7tvA9Dw8HfhWHt4qt2VN4HW5jV1DoA0bAdvn4bGkkhxbDad2kO4vWScPjwJuBnYcTm0otOULwM+AK4fj5ynH9jAwsWbcsGoH8BPgyDy8BjBuqLRhpB7x95SFiIglQLUsxJATEb8Hnq0ZfQDpQ0P++d7C+Asj4pWIeAi4n9TWjoqIuRFxax5eBMwh3aE9bNoRyYv57aj8CoZRGwAkTQHeA5xVGD2s2tDAsGmHpHVJB3VnA0TEkoh4jiHShpGa+HsrC7Fxh2Lpjw0jYi6kpApskMcP+XZJmgpsRzpiHlbtyF0ktwHPANdGxLBrA3A6cCywvDBuuLUB0h/dayTNznfxw/Bqx2bAPODc3O12lqQxDJE2jNTE31RZiGFoSLdL0jrApcDnIuKFRrP2Mq7j7YiIZRHxZtLd5P8oaZsGsw+5NkjaF3gmImY3u0gv4zr+e8h2iYjtgXcDn5a0W4N5h2I7uklduD+MiO2AxaSunXra2oaRmvibKgsxhD0taSOA/POZPH7ItkvSKFLSPz8iLsujh107APK/5DOBdzG82rALsL+kh0ndm3tIOo/h1QYAIuLJ/PMZ4Oekbo/h1I7Hgcfzf40Al5D+EAyJNozUxD/cy0JcDhyahw8FflkYf5CkNSW9DngjcEsH4luJJJH6MudExHcLk4ZNOyRNkjQuD68F7AnczTBqQ0QcFxFTImIq6TP/u4g4hGHUBgBJYySNrQ4D7wTuYBi1IyKeAh6TtEUe9Q5S6fmh0YZOn/lu1QvYh3R1yQPAlzsdT4M4LwDmAq+S/uofAUwA/ge4L/9cvzD/l3Ob7gHe3en4c0y7kv4t/StwW37tM5zaAWwL/Dm34Q7ghDx+2LShpj27s+KqnmHVBlL/+F/y687q93cYtuPNwKz8mfoFMH6otMF37pqZlcxI7eoxM7M6nPjNzErGid/MrGSc+M3MSsaJ38ysZJz4zRqQFJJOK7z/oqQT87Ak7Z5fyuNmSDqwQ+GaNcWJ36yxV4D3SZpYHJlv8poBbJNfM/I4syHPid+ssaWkR+R9vjgyIl4CPgV8LL8+lccB7CbpRkkP+ujfhiInfrO+/QA4WNJ61RH56P4HwLn59YPCEf9GpLuZ9wVOaXOsZn3qyMPWzYaTiHhB0k+BzwIv5XEvSToceFue7QcREbmr/xcRsRy4S9KGHQnarAEnfrPmnA7cSjq6B9LDW0hVPGu9UhjurdyuWUe5q8esCRHxLHAxqYie2bDmxG/WvNOAiX3OZTbEuTqnmVnJ+IjfzKxknPjNzErGid/MrGSc+M3MSsaJ38ysZJz4zcxKxonfzKxknPjNzErm/wN6i5Y5wHj2QAAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Figure du numéro de Froude en faisant varier Nh et U dans le cas d'une montagne.\n", "\n", "U = np.linspace(-10.0,10.0,100)\n", "h=gaussienne(np.linspace(-20,20,100))\n", "N=1 #np.linspace(0.01,10,10)\n", "Nb=N*h\n", "Fr=np.abs(U)/Nb\n", "plt.figure()\n", "plt.plot(Nb,Fr,label='Nombre de Froude en fonction des variations de h')\n", "plt.xlabel('N*h')\n", "plt.ylabel('Nombre de Froude')\n", "plt.ylim(0,10)\n", "plt.axhline(1,ls='-.',c='Black')\n", "plt.suptitle(\"Nombre de Froude en fonction de Nh\")\n", "plt.title(\"au passage d'une montagne\")\n", "#plt.legend()\n", "\n", "plt.figure()\n", "plt.plot(U,Fr,label='Nombre de Froude en fonction des variations de vent')\n", "plt.xlabel('Vent méridien')\n", "plt.ylabel('Nombre de Froude')\n", "plt.axhline(1,ls='-.',c='Black')\n", "plt.suptitle(\"Nombre de Froude en fonction de U\")\n", "plt.title(\"au passage d'une montagne\")\n", "#plt.legend()\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "3c40da92", "metadata": { "scrolled": true }, "outputs": [], "source": [ "##On fixe les paramètres pour calculer le nombre de Froude puis on le calcule.\n", "\n", "u=np.arange(2,20,2) #On fait varier la vitesse du vent méridien\n", "N=np.linspace(0.012,10,len(u)) #On fait varier la fréquence de Brunt-Väisälä\n", "x = np.linspace(-10,10,len(u)) #Tableau des coordonnées méridiennes\n", "h=gaussienne(x) #Tableau des valeurs représentant une montagne isolée\n", "\n", "fig_dir='C:\\\\Users\\\\bhess\\\\OneDrive\\\\Images\\\\python\\\\' #Chemin utilisé pour sauvegarder les figures puis l'animation\n", "\n", "Fr=np.zeros((len(u),len(u),len(u))) #Matrice des valeurs du nombre de Froude\n", "mat_UN=np.zeros((len(u),len(u),2)) #Matrice contenant les valeurs de U et N correspondant au nombre de Froude associé.\n", "#Ainsi à chaque ligne est associé une valeur de U et à chaque colonne une valeur de N\n", "\n", "for i in range(len(u)): #On calcule les valeurs du nombre de Froude\n", " for j in range(len(u)):\n", " Fr[i,j]=u[i]/(N[j]*h)\n", " mat_UN[i,j]=[u[i],N[j]]" ] }, { "cell_type": "code", "execution_count": 8, "id": "649366f9", "metadata": {}, "outputs": [], "source": [ "##Fonctions utiles pour afficher et animer les variations du nombre de Froude\n", "def plot_Fr(Fr,mat_UN,i,j,fig_dir,N_variant = False): \n", " \"\"\"\n", " Grâce à cette fonction, on peut choisir quelle ligne ou quelle colonne on veut afficher.\n", " N_variant est un booléen (par défaut sur False), si sa valeur est True, il affichera toutes les valeurs de Fr \n", " avec un U fixé et un N variant. Dans le cas contraire U varie et N est fixé.\n", " \"\"\"\n", " \n", " if N_variant:\n", " for k in range(len(Fr)):\n", " plt.figure(figsize=(7,7))\n", " plt.plot(x,Fr[k,j,:])\n", " plt.title('U= '+str(mat_UN[i,k,0])+', N= '+str(mat_UN[i,k,1]),fontsize=20)\n", " plt.ylim(0,80)\n", " plt.xlabel('Coordonnée méridienne X (km)',fontsize=18)\n", " plt.ylabel('Nombre de Froude Fr',fontsize=18)\n", " plt.savefig(fig_dir+r'u'+str(i)+'_n'+str(k)+'.png')\n", " else:\n", " for l in range(len(Fr)):\n", " plt.figure(figsize=(7,7))\n", " plt.plot(x,Fr[i,j,:])\n", " plt.title('U= '+str(mat_UN[l,j,0])+', N= '+str(mat_UN[l,j,1]),fontsize=20)\n", " plt.ylim(0,80)\n", " plt.xlabel('Coordonnée méridienne X (km)',fontsize=18)\n", " plt.ylabel('Nombre de Froude Fr',fontsize=18)\n", " plt.savefig(fig_dir+r'u'+str(l)+'_n'+str(j)+'.png')\n", " return True\n", "\n", "def animate(fig_dir,i,j,N_variant):\n", " # Create new figure for GIF\n", " fig, ax = plt.subplots()\n", "\n", " # Ajuster la figure pour que le GIF n'ait pas d'espace blanc sur les côtés\n", " fig.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=None, hspace=None)\n", " ax.axis('off')\n", " ims = []\n", " if N_variant:\n", " for k in range(len(Fr)):\n", " im = ax.imshow(plt.imread(fig_dir+rf'u{i}_N{k}.png'), animated = True)\n", " ims.append([im])\n", " ani = animation.ArtistAnimation(fig, ims, interval=600)\n", " ani.save(fig_dir+rf'animation_u{i}_N.gif')\n", " else:\n", " for l in range(len(Fr)):\n", " im = ax.imshow(plt.imread(fig_dir+rf'u{l}_N{j}.png'), animated = True)\n", " ims.append([im])\n", " ani = animation.ArtistAnimation(fig, ims, interval=600)\n", " ani.save(fig_dir+rf'animation_u_N{j}.gif')\n", " " ] }, { "cell_type": "code", "execution_count": 9, "id": "881a7ba4", "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "MovieWriter ffmpeg unavailable; using Pillow instead.\n" ] }, { "data": { "image/png": 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0RZd+lPjy0B3WRWuWBhGRPdOTTEU2RmeaEl8eEpqlQUSkKPqSA5HNypCmxJeHxXNbaW9upGeTEp+IyGxtHRxlc2o0snn40pT48mBmJOIx+tSXT0Rk1tKzMnR1qqqzKiTisckRxUVEpHDpdhLdi1TiqwqJeAd9/SkmJjzqUEREqlK6nURXhH34QIkvb4l4jJGxCZ7aNhR1KCIiValn0wBL5rYSa2mKNA4lvjwlOjVYtYjInghmZYi2tAdKfHlLf1iankhEZHaCWRmibdgCSnx522dBO82NRq/68omIFGxwZJz124Yj78oASnx5a2wwli+MqcQnIjILkw1bVOKrLol4TJ3YRURmYbIrg0p81SXdpcFdXRpERArRNzkdkUp8VSURj7FjeIzkwEjUoYiIVJWe5AALYs3MjzVHHYoSXyF2tuxUdaeISCH6+lORTj6bSYmvAOlmuGrgIiJSmJ4K6coAESc+M1tgZj83s7+b2UNm9iIz6zSzG83skfB+YZQxZtp3YTtmKvGJiBRiZGyCJzcPVkTndYi+xPdN4LfufjBwGPAQcDZwk7sfANwUPq4IrU2N7DO/XSU+EZECPLllkAlHJT4zmwe8FPg+gLuPuPsW4ETgsnC1y4CToohvKol4TJ3YRUQKkC4sqMQH+wMbgUvM7G4z+56ZdQB7ufs6gPB+Sa4Xm9kZZnanmd25cePGsgWdiHeoqlNEpADpc6YSHzQBzwW+7e6HAwMUUK3p7he6+wp3X7F48eJSxbibRDxG/8AI24ZGy7ZPEZFq1ptMEWtpZPGc1qhDAaJNfGuANe5+W/j45wSJcL2ZLQUI7zdEFF9O6VEH+lTqExHJS29ygK7OGGYWdShAnonPzOaY2WNm9pFi7djdnwJWm9lB4aJjgL8B1wCnhstOBa4u1j6LoUvTE4mIFKRSpiNKy2s2QHffYWZxYEeR938m8GMzawEeB04nSMZXmtk7gT7gjUXe5x5Jf3g9atkpIjKjiQmnrz/FMQfnbK4RiUKmwb0VWAF8r1g7d/d7wm1mO6ZY+yi2jtYmFs1pVVWniEgento2xMjYBF0VVOIr5Brf2cCbzOx0q5SK2oh0x2Mq8YmI5GHnrAyV0YcPCivxfR3YTFDi+4qZPQZkF3vc3Su2tFYsXfEYtzyWjDoMEZGKl64d66qQcTqhsMS3P+AE190A9ip+ONWhO97BL//6JEOj47Q1N0YdjohIxepJpmhuNPZZ0B51KJPyTnzu3l3COKpKuoHL6v4UB+w1N+JoREQqV1//AMsXxmhsqJwrZNNe4zOz68zs6IzHZmYHmllbqQOrZOnx5nrUwEVEZFo9myqrKwPM3LjleGCfjMedBANJv7hkEVWB9JxSGqxaRGRq7kFXhkoZnDptNiO3VE55NSILYs3Ma2tSJ3YRkWkkB0bYMTxWdSU+ycHMgsGqNUuDiMiUKm1w6jQlvllKxGOq6hQRmcbO6Yiqr6rT81xWVxLxGGs2DzI6PhF1KCIiFaknmcIM9l1YOV0ZIL/E930z22Zm24AnwmW/Ti/Lum0tYawVJRHvYHzCWbtlMOpQREQqUl9ygH3mt9PaVFn9nWfqx/cnVLrLqTujS0OlFeNFRCpBTzJF96LKur4HMyQ+dz+6THFUncTkvHwDQPkmwhURqRZ9/SledcjeUYexGzVumaUlc1tpa25QJ3YRkRy2DY3SPzAyOXl3JVHimyUzI9HZob58IiI59FVoVwZQ4tsj6tIgIpJbT4V2ZQAlvj2SiMfo608xMaH2PyIimXorcDqiNCW+PZCIdzA8NsH67UNRhyIiUlF6kwMsnttKR2shs9+VhxLfHkjXXes6n4jIrnqTqckB/SuNEt8eSPfl03U+EZFd9VZwH+eCEp+ZNZrZKWb2IzO70cwOD5cvDJcvK02YlWnp/DaaGkwlPhGRDEOj4zy1bagiW3RCATOwm1kMuIFgLr4BIAYsDJ/eBpwDXAx8usgxVqymxgaWd8aU+EREMvT1V25XBiisxPc5YAVwMrA/GfPyufs48EvgVcUMrhp0dcbo7VdVp4hI2s7piKq/qvONwIXufjWQa0qCR4HuYgRVTbrjMXo3pXBXlwYREdjZ7qESR22BwhLfPsC90zyfAubuWTjVpyvewfbhMTanRqMORUSkIvQmU8xra2JBrCXqUHIqJPElgekarxwCrN2zcKpP+hdNj1p2iogAwfmwe1FlVnNCYYnvJuD0sJHLLsxsP+AdwG+LFVi12DlLgxq4iIhA0LilEkdsSSsk8X2eoBXnHcD7CObpO97MvgT8FRgGvlT0CCvcvgtjmKnEJyICMDo+wZrNg5P9nCtR3onP3R8FjgHGgP8kaNX5ceAsYDVwjLuvLkWQlaytuZGl89pU4hMRAdZuGWR8wumq0IYtUEA/PgB3vws4zMwOBZ5BkPwecfe7SxFctUjEO1TiExGByTlKK7nEN6vRQ939AeCBIsdStRLxGL97aH3UYYiIRK5vcjqiyi3xaazOIkjEO9i0Y4TtQ+rSICL1rSeZoq25gSVzW6MOZUpTJj4zmzCz8QJvY+UMvlJolgYRkUBvcoBEZwdmNvPKEZmuqvMHBC03Mz0POBR4GHiI4BrfwcBBBFWfd5Ugxoo32aWhP8Why+ZHHI2ISHR6kyn2q+A+fDBN4nP30zIfm9lxwBuAk9z9mqznTgJ+CPxb8UOsfOnx6NTARUTq2cSE09uf4uiDFkcdyrQKucb3BeC72UkPwN1/BVwI/FeR4qoqc1qbWDSnRV0aRKSurd8+xMjYRMUOTp1WSOJ7NvDYNM8/SlANWpfUpUFE6l3PpsrvygCFJb7NwCunef54YOuehVO9Ep0xlfhEpK719Vd+VwYoLPH9BDjRzL5vZs8IZ2NvDP++GDgB+HFpwqx8iXgH67YNMTQ6HnUoIiKR6EmmaG40ls5vizqUaRXSgf3TwNOB04HT2DknXwNB685rKXD2dTPrAbYD48CYu68ws07gCoK5/XqAN7n75kK2G4VEPIY7rNmc4ulL6m52JhER+pIp9l0Yo6mxsruIFzJW57C7n0xQpfkd4HcEMzZ8Bzje3U909+FZxPByd3+Ou68IH58N3OTuB4TbP3sW2yy7dNE+XcctIlJvepIDFV/NCbMYsszdbwBuKEEsaScCR4d/XwasJBgIu6KlWzH19ivxiUj9cXf6kilWJBZGHcqMoi6POnCDmd1lZmeEy/Zy93UA4f2SXC80szPM7E4zu3Pjxo1lCndqC2PNzG1rolctO0WkDvUPjLB9eKziuzJAASW+sAHLTNzd31nA/o9097VmtgS40cz+nu8L3f1Cgr6DrFixInuEmbIzMxLxmIYtE5G6lK7tqrWqztPyWMeBvBOfu68N7zeY2VXAEcB6M1vq7uvMbCmwoYAYI5WId/Dgk3Xbo0NE6ljv5KwMlV/iK6RxS0P2DWgmGKfzIuBWghna82JmHWY2N/03QR/BB4BrgFPD1U4Frs53m1FLdMZYs3mQsfGJmVcWEakhvckUZrC8sz3qUGa0R9f43H3c3R9x9/cASeDLBbx8L2CVmd0L3A78xt1/C5wDHGdmjwDHhY+rQne8g7EJZ+2WoahDEREpq95kin3mt9Pa1Bh1KDOa1US0U/g/4HPA+/JZ2d0fBw7LsTwJHFPEuMqmKz09Uf/A5N8iIvWgNzlAV2d1nPeK2aozDswp4vaqTvfkLA1q4CIi9aU3maJ7UXUkvj0u8ZnZAuBY4KPU6Xx8aUvmttLa1ECfujSISB3ZPjRKcmCErs7Kb9gChXVnmGD3iWknnwb6gY8VI6hq1dAQdGlQiU9E6km6G1d3lVziKaTEl2tGdidIeP8ALnf37cUKrFp1dXZolgYRqSt9YR++amnbkHfiy56RXXLrjsdY9ehG3B0zizocEZGS66miPnwQ/ZBlNScRjzE0OsGG7bMZr1tEpPr0JVMsmtPCnNZidhQonYISn5k1mNnpZnaNmT0Q3q4xs9PMTEmUnb94ejapgYuI1IdgVobqKO1BAYnPzNoJpgn6HvBqYH54ezXwfeB3ZlbZsw+WQXqcOo3ZKSL1ojeZIlElffigsBLfp4GXAV8DFrv7cndfDiwC/odgKqFPFT3CKrNsQTtNDUZvv0p8IlL7hkbHWbd1qDZLfMCbgSvd/ROZM6K7+xZ3Pwu4EnhrsQOsNk2NDSxb2K4uDSJSF1ZX0awMaYUkvn0JJoWdyh/DdepeIq4uDSJSH9KXdWo18W0BDpjm+aeH69S9RGeMnuQA7pFPEygiUlLV1pUBCkt8NwLvN7NXZT9hZq8kGJz6+mIFVs0S8Rjbh8bYkhqNOhQRkZLq608xt62JhbHmqEPJWyGdLj4NvAq4zszuBh4Mlx8CHA5sAj5T3PCq02SXhuQACztaIo5GRKR0epIpEvFYVQ3YUchEtL3ACuCnwIHA28PbAcDlwPPDdepeery69DA+IiK1qq/K+vBBniU+M2sElgE73P1tFqT2xQSDU29wXczaxfLOGGbQs0mJT0Rq19j4BGs2D/KaZy+NOpSC5FviawYeB94J4IEN7r5eSW93bc2N7D2vTX35RKSmrd0yxNiEk6iS6YjS8kp87j5EcA1PZ/I8JeIxjd4iIjVtZ4vO6unKAIW16rwOOKFUgdSaRGeHEp+I1LTeyc7rNVjiC30CWGpml5nZszQu5/QSi2Js2jHMjuGxqEMRESmJ3k0DtDU3sGRua9ShFKSQxLcBeDZBS857gAEzG8+66SwfStd5awQXEalVvf0pujpjNDRUT1cG2PMZ2GUKO2dpGOCZ+8yLOBoRkeLrrcKuDKAZ2EtmMvGpL5+I1KCJCaevP8VLD1gcdSgFm7aq08xSZvbmjMetZnaGmVVXp40IzG1rJt7RQm9SDWFFpPZs2D7M0OgEiUXVV+Kb6RpfG9CY8XgO8G3gGSWLqIZ0qUuDiNSo9I/6apqANq2Qxi1p1XUVM0LdcXVpEJHalD63dVfhNb7ZJD7JU1dnjLVbBxkeG486FBGRourtH6CpwdhnQfX1bFPiK6HuRTHcYXX/YNShiIgUVU8yxb4L22lqrL40kk+rzm4ze2749/zw/gAz25JrZXf/azECqwVd6b58/QM8fcmciKMRESmevmSKriqs5oT8Et8XwlumC6ZZv3Ga5+pKenoizdIgIrXE3elJDnB414KoQ5mVmRLf58sSRY3q7GhhTmuT5uUTkZqyJTXK9qExuqqwRSfMkPjcXYlvD5gZiXhscgRzEZFakD6nVWOLTlDjlpLT9EQiUmvS57Rqm44oTYmvxBLxDtZsTjE2PhF1KCIiRdGbTGEGy6u0qlOJr8QSnTFGx511W4eiDkVEpCh6kwPsPa+NtubqbMuoxFdi6ZHLVd0pIrWitz9VtdWcoMRXcukvhxq4iEit6E0OTM45Wo2U+Eps73lttDQ1qEuDiNSEHcNjbNoxQmKRSnyzZmaNZna3mf06fNxpZjea2SPh/cKoY9wTDQ1GV2eMnk0q8YlI9ds5K0OdlPjMbLmZXWxma8xsxMxeES5fHC5//ixi+DDwUMbjs4Gb3P0A4KbwcVXrjsdU4hORmtBX5V0ZoIDEZ2b7AXcC/ww8SMbQZO6+EVgBvKuQnZvZvsBrgO9lLD4RuCz8+zLgpEK2WYkS4fRE7h51KCIie6SnnhIf8N/ABHAo8DZ2n5fvOuCoAvf/DeAT4XbT9nL3dQDh/ZICt1lxEvEYg6PjbNw+HHUoIiJ7pK9/gHhHC3PbmqMOZdYKSXzHAhe4+2ogV9GlF9g3342Z2QnABne/q4AYMl9/hpndaWZ3bty4cTabKJt0l4YedWkQkSrXs6m6uzJAYYlvHrBumudbyG+2h7QjgdeZWQ/wU+AVZvYjYL2ZLQUI7zfkerG7X+juK9x9xeLFiwvYbfklwtENetWlQUSqXF9/avLHfLUqJPGtBg6Z5vkXAo/muzF3/w9339fdu4G3AL93938FrgFODVc7Fbi6gBgr0rKF7TQ2mDqxi0hVGx4bZ+3Wwboq8f0SeIeZHZqxzAHM7J+BNwJXFiGmc4DjzOwR4LjwcVVrbmxg2YJ2etWyU0Sq2Or+Qdyru2ELFFY1+d/ACcBtwJ8Ikt7ZZvZF4AjgHuBrswnC3VcCK8O/k8Axs9lOJQtmaVBVp4hUr8k+fPVS1enu24AXEXQ9WEHQqvM44CCCGdlf7u4aiXkKmp5IRKrd5HREVTorQ1ohJb508vsw8GEzW0yQ/Da6OqjNqDvewdbBUbakRlgQa4k6HBGRgvUmB5jb2kRnR3Wfw2Y9ZJm7b3T3DUp6+emabNmpUp+IVKfe/hRd8Rhm2d24q8uUJT4ze+lsNujuf5p9OLWre1G6L98Ahy1fEG0wIiKz0JtM8cyl86IOY49NV9W5ktwd1WdSnTMTlli6xNenEp+IVKGx8QnWbE5x/KF7Rx3KHpsu8Z2e9diAM4EDgR8DfwuXPRN4K/AP4LwSxFgT2pob2Xtem0ZvEZGqtG7rEKPjTneVd2WAaRKfu1+W+djMPgQsBg5y97VZz30BuAWYW4oga0VXPEZfv7o0iEj1SbdP6Kri6YjSCmnccibw3eykB+Dua4DvhuvIFLrjMZX4RKQq9YR9+LqreALatEIS33JgurP2QLiOTCER72Dj9mEGhseiDkVEpCC9yQFamhrYa25b1KHssUIS3xPAv5rZbu86XHYK0FOkuGpSepgfTUorItWmN5ki0RmjoaG6uzJAYYnva8DhwB1m9l4ze7mZHW1m7yOYoPbZwNdLEWStSIR14xq6TESqTW+y+qcjSst75BZ3/56ZzQH+i2CIsnRXBwMGgX9394uKH2Lt6IqrE7uIVB93p7d/gKMOWBR1KEVR6JBl3zCzS4BXAvsTJL3HgBvdfUvxw6st89ubWRhrVgMXEakqG7YPMzQ6UX8lvjR33wr8rASx1IVEvENdGkSkqkwOTl3lszKkzXqsTpmdRDxGzyaV+ESkeqS7MlT7rAxpSnxlloh3sG7rIMNj41GHIiKSl75kisYGY9nC9qhDKQolvjJLdMaYcFizeTDqUERE8tKTHGDZgnaaG2sjZdTGu6gi6VEPNFi1iFSLvv7a6coASnxllx7nrkd9+USkSvRsGlDik9lbNKeFjpZG9eUTkaqwJTXCtqExumukRScUmPjMrNHMTjGzH5nZjWZ2eLh8Ybh8WWnCrB1mRiLeodFbRKQq9NRYVwYooB+fmcWAG4AXEwxIHQMWhk9vA84BLgY+XeQYa04iHuPh9dujDkNEZEbpH+n1WtX5OWAFcDI7R20BwN3HgV8CrypmcLUqEe9gdX+K8YnZTHAvIlI+O+fhq8/E90bgQne/GpjI8fyjQHcxgqp1iXiM0XFn3VZ1aRCRytabTLH3vDbamhujDqVoCkl8+wD3TvN8Cs3AnpeEBqsWkSrRm6ytFp1QWOJLAtM1XjkE2G12dtld+iKxEp+IVLreGuvDB4UlvpuA08NGLrsws/2AdwC/LVZgtWzpvDZamhrUslNEKtrA8Bgbtw/XVItOKCzxfZ6gFecdwPsI5uM73sy+BPwVGAa+VPQIa1BDg7F8YbtKfCJS0fr6010Z6rTE5+6PAscAY8B/ErTq/DhwFrAaOMbdV5ciyFrUHe/Q6C0iUtHStVK11HkdCp+I9i7gMDM7FHgGQfJ7xN3vLkVwtawrHuOWx5O4O2Y28wtERMpssitDjZX48kp8ZjaHoEXnue7+DXd/AHigpJHVuO54B6mRcTbuGGbJ3LaowxER2U1PMkVnRwvz2pqjDqWo8qrqdPcdQBzYUdpw6keXujSISIXrTQ7UVMf1tEIat9xKMHKLFEG3ujSISIXrTaborrFqTigs8Z0NvMnMTjddlNpjyxa002CoS4OIVKThsXHWbh2kq8YatkBhjVu+DmwGvgd8xcweIxitJZO7+zHFCq6WtTQ1sExdGkSkQq3ZPIg7NVniKyTx7U/Qd68vfLxX8cOpL4lOTU8kIpWpFmdlSMs78bl7dwnjqEuJeIzf3L8u6jBERHbTW4Pz8KVpBvYIJeIxtqRG2ZoajToUEZFd9CZTdLQ0Eu9oiTqUoiuoAzuAmbUCRxNUfQI8DvzR3YeKGFddmBysun+AZ8cWRBuMiEiGYFaGjpocYKOgEp+ZnQI8CVwHnB/ergOeNLPTCtxWm5ndbmb3mtmDZvb5cHmnmd1oZo+E9wtn2la1Sted96iBi4hUmN5k7c3KkJZ34jOzNwOXEnRi/xRwEsFs7J8Ol30/XCdfw8Ar3P0w4DkEA16/kKDbxE3ufgDBjBBnF7DNqpLuGNqnBi4iUkHGJ5zVm1M1eX0PCqvq/CTwd+CF7r4tY/nVZnYBcBtBQrwin425u7NzJJjm8ObAiQRVqQCXASsJBsKuObGWJpbMbVWJT0Qqytotg4yOu0p8wEHAJVlJDwB33wpcAhxQyM7NrNHM7gE2ADe6+23AXu6+LtzuOmDJFK89w8zuNLM7N27cWMhuK0p3vIM+JT4RqSC1Oh1RWiGJ7ymC2RimMgGsL2Tn7j7u7s8B9gWOCGd9yPe1F7r7CndfsXjx4kJ2W1G64jFNTyQiFaVnsg9fbVZ1FpL4LgVOC2dq2IWZzSOYgf2S2QTh7lsIqjSPB9ab2dJwu0sJSoM1qzseY8P2YVIjY1GHIiICQF8yRUtTA0vn1ebMMVMmPjN7aeYN+BPBEGX3m9m/m9lrzewEM/sEwZRFO4A/57tjM1tsZgvCv9uBYwmuIV4DnBqudipw9SzeV9VIj4OXrloQEYlaT3KA5QvbaWiova4MMH3jlpUEjU0ypY/ClzOeSy9LADcCjXnueylwmZk1EiTgK93912Z2C3Clmb2TYHi0N+a5varUnTE90cF7z4s4GhGR9KwMtVnNCdMnvtNLuWN3vw84PMfyJFA3A10nOtPTE+k6n4hEz93p60/x4qctijqUkpky8bn7ZeUMpF7NjzWzINasWRpEpCJs3DFMamS8Zlt0gsbqrAiJeIcSn4hUhJ2DU9du4pvNWJ3HEfTXi7N79wZ39y8UI7B6kuiMcffqzVGHISJS07MypOWd+MzsYOAq4ECm7s/ngBJfgbrjMX5931pGxiZoaVIhXESi05scoLHBWLagPepQSqaQEt93geXARwi6LaiIUiRd8Q4mHJ7cMsh+i2r3V5aIVL7eZIp9FrTV9I/wQhLfEcA57n5uqYKpV92TszQMKPGJSKR6kwM13ZUBCmvckgQ2lSqQetYVT8/SoAYuIhKt3v7U5MwxtaqQxPdTgqmIpMgWz2kl1tKoMTtFJFJbUiNsSY3WfImvkKrOTwE/N7OrgG8BPcB49kru3lec0OqHmdHVGVOXBhGJVPoc1FXDXRmgsMQ3CjwI/DvwumnWy3fIMsnQHe/gkQ3bow5DROpYbzhmsEp8O30Z+BhwN7AKteosqkQ8xu//voHxCaexRgeGFZHK1rspuNxS69f4Ckl8pwBXufsbShVMPUvEOxgZn+CpbUM13X9GRCpXb3+Kvea10t5S2xV3hTRuiQE3lCqQepceHij9i0tEpNx6kwOTA+fXskIS363AIaUKpN5NJj7NyyciEelNpmp6jM60QhLfvwFvNrPXlyqYerZ0fjvNjaYuDSISidTIGBu2D9dF4ivkGt83gO3Az8zsSeAJdu/O4O5eN3PpFVNjg7G8M6ZO7CISib7+2h+cOq2QxLc/wSDU6X56XcUPp74lOmP0KPGJSAR6NtX+dERpeSc+d+8uYRxC8Evr9if6cXfM1KVBRMqnrz+4zKLGLVJWiXiMgZFxNu0YiToUEakzPckUC2LNzI81Rx1Kyc1mItp5wLEEVZ8AjwM3uruGHdlD6dES+voHWDy3NeJoRKSe9CVTdXF9DwpMfGb2LuBrwBx2TkbrwA4z+5i7f7/I8dWV9Ph4PZtSPC/RGXE0IlJPepIDPLdrYdRhlEXeVZ1m9jrgQmAjwdBlx4W3jwIbgAvN7LWlCLJe7LuwnQZTXz4RKa+RsQnWbhmcnBu01hVS4vsE8BDwAnffkbH8JjO7hKCD+1nAtUWMr660NjWydH47verLJyJltGZzigmHrjqp6iykccthwKVZSQ+A8PreZeE6sge6F2l6IhEpr52zMtRHia/QVp3TtbH3PQlEAol4h0p8IlJW6TGC66VxSyGJ717gVDPb7ciY2RzgtHAd2QOJzhibU6NsHRyNOhQRqRO9/SliLY0smtMSdShlUcg1vv8Bfgn81cy+BfwtXH4IcCbwdEDjeO6h9C+uvmSKZ+07P+JoRKQe9IZdGepl4IxCRm75lZl9kGBC2nPZWbVpwADwQXe/uvgh1pedszQMKPGJSFn0Jgc4YMncqMMom4L68bn7BWb2E4JuDPsRJL3HCDqwby1BfHVnMvGpgYuIlMH4hLO6f5Bjn7lX1KGUTcEjt7j7FuBnxQ9FAGItTSye26oGLiJSFk9tG2JkfKIuxuhM01idFag7rlkaRKQ80i0666UrA8xQ4jOzawrcnrv7iXsQjwBdnR2senRj1GGISB1I/8juUuKbdEKB21NfviLojsf4xV+HGRwZp72lMepwRKSG9fYP0NLYwNL57VGHUjbTVnW6e8NMN+AVwB3hS9aVPOI6kP7l1acxO0WkxHo3pdi3s53GhvroygB7cI3PzA41s98ANwEHAf8POKBYgdWz9PREauAiIqXW25+aPOfUi4ITn5ktN7NLgbuBY4BvAU9z9/9298Eix1eX1KVBRMrB3elNDtDVWT/X96CA7gxmthD4FPB+oBW4HPi0u/eUJrT6tSDWwvz2Znr7VeITkdLZtGOE1Mh4XbXohDwSn5m1Ah8hmHJoAXAjcJa731PKwOpdIq5ZGkSktNKXU+plcOq0aas6zewdwKPAFwlGaDnW3V+lpFd6wSwNSnwiUjrpc0xCJb5dfI+gi8KdwJXAc8zsOdOs7+7+v/ns2MyWAz8A9gYmgAvd/Ztm1glcAXQDPcCb3H1zPtusJYnOGNfdv47R8QmaGzXOgIgUX29ygAaDfRcq8WUz4PnhbSYO5JX4gDHg39z9r2Y2F7jLzG4kmN7oJnc/x8zOBs4mqGatK4l4jPEJ58nNg3Qvqq9qCBEpj97+FPssaKelqb5+XM+U+F5eqh27+zrCfn/uvt3MHgKWAScCR4erXQaspC4TX5DsepIDSnwiUhI9yVTdVXPCDInP3f9YjiDMrBs4HLgN2CtMirj7OjNbMsVrzgDOAOjq6ipHmGXVrU7sIlJifckB/ulZS6MOo+wiL9+Gs7f/AviIu2/L93XufqG7r3D3FYsXLy5dgBFZPLeV9uZGejYp8YlI8W0dHGVzapREnfXhg4gTn5k1EyS9H7v7L8PF681safj8UmBDVPFFycxIxGP0qS+fiJRA32SLzvq7lBJZ4rNgjvvvAw+5+9cznroGODX8+1Sgbmd17+rU9EQiUho9k334VOIrpyOBtwOvMLN7wturgXOA48zsEYKZ3s+JMMZIdS/qoK8/xcSEJr0QkeJKtx+ox8RX8AzsxeLuqwi6SuRyTDljqVRdnTFGxiZ4atsQ+yyonylDRKT0ejYNsHhuK7GWyNJAZCJv3CJT2zlLg6o7RaS4glkZ6q+0B0p8FW3nLA1q4CIixRXMylB/DVtAia+iLZ3fRnOj0au+fCJSRIMj46zfNqwSn1SepsYGli+MqcQnIkU12bClTkeFUuKrcF2ankhEimxyOqI67LwOSnwVrzucnshdXRpEpDjSP6a767DzOijxVbyuzhg7hsdIDoxEHYqI1Iie5ADz25uZH2uOOpRIKPFVuO5F6Zadqu4UkeLoq+OuDKDEV/HSzY3VwEVEiqUnOUBXnVZzghJfxVve2Y6ZSnwiUhwjYxPBBNcq8Umlam1qZJ/57SrxiUhRPLllkAkP2g/UKyW+KpCIx9SJXUSKIv0jurtO+/CBEl9VSKgvn4gUSfpcUq99+ECJryok4h30D4ywbWg06lBEpMr1JlO0NzeyeG5r1KFERomvCqR/mfWp1Ccie6g3OUAiHiOYC7w+KfFVgYSmJxKRIuntT9Xl5LOZlPiqQFf4Je1Ry04R2QMTE05ff2ryx3S9UuKrAnNam1g0p1VVnSKyR57aNsTI2IRKfFEHIPlJxGMq8YnIHumZnJVBJT6pAol4bHIOLRGR2UjXGqnEJ1Uh0dnBuq1DDI2ORx2KiFSpnmSK5kZjnwXtUYcSKSW+KpGepWG1Sn0iMkt9/QMsXxijsaF+uzKAEl/VSI+r16MGLiIySz2bUpOtxOuZEl+V6I5reiIRmT13D+fhq++GLaDEVzUWxJqZ29akTuwiMivJgRF2DI/V9awMaUp8VcLM6I53aJYGEZmV9I/mdHuBeqbEV0W64jFVdYrIrKTPHV113ocPlPiqSnc8xpObBxkdn4g6FBGpMr3JFGawvLO+uzKAEl9VScQ7GJtw1m4ZjDoUEakyvckB9pnfTmtTY9ShRE6Jr4ok1KVBRGapJ6lZGdKU+KpI96Kgbr5P1/lEpECalWEnJb4qsmRuK23NDSrxiUhBtg2N0j8wohJfSImvipgZic4O9eUTkYKkB6fuVuIDlPiqjro0iEihetSVYRdKfFWmO5yeaGLCow5FRKpEr6Yj2oUSX5XpincwPDbB+u1DUYciIlWiNznAojmtdLQ2RR1KRVDiqzLpOnpd5xORfPUmU7q+l0GJr8okOjVLg4gUpjep6YgyRZb4zOxiM9tgZg9kLOs0sxvN7JHwfmFU8VWqfRa00dRgKvGJSF6GRsd5atuQpiPKEGWJ71Lg+KxlZwM3ufsBwE3hY8nQ1NjAvgvblfhEJC99/WrYki2yxOfufwL6sxafCFwW/n0ZcFI5Y6oWiXgHvf2q6hSRme1s0akSX1qlXePby93XAYT3S6Za0czOMLM7zezOjRs3li3ASpCIx+jdlMJdXRpEZHrp9gAJTUA7qdISX97c/UJ3X+HuKxYvXhx1OGWViHewfXiMzanRqEMRkQrXm0wxr62JBbHmqEOpGJWW+Nab2VKA8H5DxPFUpJ2zNKi6U0Sm15McIBHvwMyiDqViVFriuwY4Nfz7VODqCGOpWN2LgsTXpwYuIjKDYFYGVXNmirI7w+XALcBBZrbGzN4JnAMcZ2aPAMeFjyXLvgtjmKnEJyLTGx2fYM3mQSW+LJGNX+Pub53iqWPKGkgVamtuZOm8NpX4RGRaa7cMMj7hatGZpdKqOiVPXfEYD67dxvDYeNShiEiFumf1FkAtOrMp8VWp1x62Dw+v386bvnsra7cMRh2OiFQQd+eyv/Twb1fey36LOjh02fyoQ6ooSnxV6m0vSPCdf30uj23YwQnnruLmRzdFHZKIVIDUyBgfveIePnvNg7zswMX86gNHalaGLEp8Vez4Q5fyqw8cSWdHC2///m18e+Vj6tQuUsd6Ng3w+gv+wtX3ruXfjjuQi05Zwfx29d/LpsRX5Z6+ZA5Xf+BI/ulZS/nyb//Oe390F9uH1LFdpN787m/ree15q3hq2xCXnn4EZx5zAA0N6ruXixJfDehobeK8tx7Op1/zDH730AZOPO9m/rF+e9RhiUgZjE84X7vhYd71gztJxGNc+8GjeNmB9TWaVaGU+GqEmfGul+zPT971ArYNjXHS+Tdz7b1row5LREpo88AIp11yO+f+/lHetGJffv7eF7NcLThnpMRXY16wf5zffOgonrF0Hmdefjdf+PXfGB2fiDosESmy+9ds5YRzV3Hb4/186fXP4itvOIy25saow6oKSnw1aK95bVz+7hdy2ou7+f6qJ3jbRbexYftQ1GGJSJFccUcf//ydv+Du/Oy9L+KtR3RFHVJVUeKrUS1NDXzudYfwjTc/h/ue3MIJ31rFnT3Z0x+KSDUZGh3nP355H2f94n6O6O7k1x96CYctXxB1WFVHia/GnXT4Mq56/5G0tzTylgtv5dKbn1CXB5EqtGZzijd99xYuv3017z/6aVz2jiPo7GiJOqyqpMRXB56xdB7XfPAojj5oMZ+79m985Ip7SI2MRR2WiOTpz49s5LXnruKJjQN89+3P4xPHH0yjuirMmhJfnZjf3syFb1/Bx195INfcu5bXX/AXejZpdgeRSjYx4Zz/h0c59eLbWTy3las/eCSvOmTvqMOqekp8daShwfjgKw7gstOP4KltQ7z2vFXc+Lf1UYclIjlsGxrlPT+6i69e/zCvefY+/OoDR7L/4jlRh1UTlPjq0EsPXMy1HzyK7ngH7/7BnfzP9Q8zPqHrfiKV4uGntvO6c1fxh79v4DMnPJNvveU5xFo03maxKPHVqeWdMX723hfx5hXLOe8Pj3LaJbezeWAk6rBE6t7V9zzJSeffzMDIOD959wt5x1H7YabrecWkxFfH2pob+fIbns05r38Wtz3ezwnnruK+NVuiDkukLo2OT/D5ax/kwz+9h0OXzeM3Zx7FEft1Rh1WTVLiE95yRBc/e++LAHjDd27hijv6Io5IpL5s2DbEWy+8lUtu7uH0I7v5ybtfyJJ5bVGHVbOU+ASAw5Yv4Nozj+IF+3Vy1i/u5+xf3MfQqGZ3Fym125/o5zXnruLBtdv45luew2dfewjNjTo1l5KOrkzq7Gjh0tOP4AMvfxo/vWM1b/zOLazZnIo6LJGa5O5cvOoJ/uWiW5nT2sSvPnAkJz5nWdRh1QUlPtlFY4Px7686mAvf/jx6Ng3w2nNX8edHNkYdlkhNGRge40M/vYf//PXfePnBS7j6g0dy0N5zow6rbijxSU6vPGRvrjnzKJbMbeOUi2/n/D88yoS6PIjsscc37uDkC27mN/et5RPHH8R3//V5zGvTLOnlpMQnU9pvUQdXfeDFvPbZ+/DV6x/mjB/exdZBze4uMlvXP/gUJ553Mxu3D/ODd7yA9x/9dM2SHgElPplWrKUpvOD+TFY+vIETz1vF35/aFnVYIlVlfML58m//znt+eBf7Le7g1x96CUcdsCjqsOqWEp/MyMw4/cj9uPyMFzIwMs7J5/+Fq+95MuqwRKpCcscwp158O99e+RhvPaKLK9/zIpYtaI86rLqmxCd5e353J7858yietWw+H/7pPXzumgcZGdPs7iJTuWf1Fl577ipu7+nnK//8bL70+mdplvQKoMQnBVkyr40fv/sFvPOo/bj0Lz38y0W3sn6bZncXyeTu/OS2Pt70nVswM37x3hfzpucvjzosCSnxScGaGxv4fyc8k2+99XAeXLuNE85dxe1PaHZ3EQhmST/rF/fxyavu54VPi/PrM4/iWfvOjzosyaDEJ7P2usP24eoPHsmc1ibeetGtfH+VZneX+ra6P8UbvvMXrrxzDR96xdO55LTns1CzpFccJT7ZIwfuNZerP3gkxxy8hC/8+m+cefndDAxrdnepP3/8x0Zee94qepMpvnfKCj72yoM0S3qFUuKTPTavrZnvvv15nHX8wVx3/zpOvuBmHt+4I+qwRMpiYsI596ZHOO2S29l7XhvXfvAojn3mXlGHJdNQ4pOiMDPed/TT+OE7X8CmHSO87ryb+e0DT0UdlkhJbR0c5d0/uJOv3fgPTnrOMq56/5F0L+qIOiyZgRKfFNWRT1/EtWcexdMWd/DeH93Fl3/7d8bG1eVBas9D67bxuvNW8cd/bOQ/TzyEr7/pMNpb1FWhGijxSdEtW9DOle99Ef/ygi6+vfIxTr3kdpI7hqMOS6Rorrp7DSdfcDNDo+Nc8Z4XcsqLujVLehVR4pOSaG1q5IsnP4uvvOHZ3NGzmdeeu4p7Vm+JOiyRPTIyNsFnr36Aj15xL4ftG8xh+byEZkmvNk1RByC17U0rlvPMpfN474/u4uQLbibe0criueFtTsbfWY/ntTXpF7SUzcjYBMmBYTZuz7rt2PXvDduGGRwd590v2Y+zjj+YJk0YW5WU+KTkDl02n1+feRQ/vKWXtVsHJ08kj67fzsYdw4yO7973r6WpYdrEmPlYQ0BJLhMTzpbB0YzENTRlUtucyj3ryPz25snv2mH7LmDx3FaOevoiXn7wkjK/GykmJT4piwWxFs485oDdlrs7W3c5Oe3+i3t1f4q/9m4mOTCSc9tz25pYPLeVJXNbWTy3bcoE2dnRon5VNSA1Mrbbd2TDtt2/P5t2DDOWYw7J1qYGlswLvhf7LergiP06WTynbdfvzNxWFs1pobVJP6pqkRKfRMrMWBBrYUGshQP2mn4G6tHxCfoHRqauito+zANPbmXj9mF25OhE32AQnzN9FWv6NrdVVa3lNDo+QXLHyIwls43bhxkYGd/t9Q0GizI+x4P3njvlZzxHn23dq8jEZ2bHA98EGoHvufs5EYckFaC5sYG95rWx17y2GddNjYyxafvILifRDVkn03+s387G7VOXChbPbSXW0khjQwONDQT3Bk0NDTQ0pO+NpgajwYL7xuybGY2N4X24rKnBdntd+nHO12ctm3xdY/r1O+MxC+Z+y76NTTgTHt5P7Ho/7s74+ATjDuMTE4xPZN3neN24Z207cx/jO/e1Wyy+6+PR8Qk2p0bpn6I0P2+yNN/Gs8Oqxlw/VhbGVJqX/FVc4jOzRuB84DhgDXCHmV3j7n+LNjKpJrGWJrriTXTFY9OuNzERVrXmqGLduH2YwZHxHEljgokJSI2N7ZIsJp9zJtcZ2yWR7H7yz5FzK05mEt4laWcl4VxJOjN5tzQ15EzeC2MtORPaojm6fiulUXGJDzgCeNTdHwcws58CJwJKfFJ0DQ3Gwo4WFna0cOAMVa2l4J5HiWyK0tIurwtLWRPuO5NUjhLhzpKrZZRaw+dylE4bDFULSs2pxMS3DFid8XgN8ILslczsDOCM8OEOM3u4CPteBGwqwnbKRfGWXrXFXG3xQvXFrHhLr1gxJ3ItrMTEl+vn5W4VQu5+IXBhUXdsdqe7ryjmNktJ8ZZetcVcbfFC9cWseEuv1DFXYu/LNUDmVMX7AmsjikVERGpMJSa+O4ADzGw/M2sB3gJcE3FMIiJSIyquqtPdx8zsg8D1BN0ZLnb3B8u0+6JWnZaB4i29aou52uKF6otZ8ZZeSWM29ypoTy0iIlIklVjVKSIiUjJKfCIiUlfqKvGZ2RvN7EEzmzCzFVnP/YeZPWpmD5vZq6Z4faeZ3Whmj4T3C8sT+eT+rzCze8Jbj5ndM8V6PWZ2f7jeneWMMSuOz5nZkxkxv3qK9Y4Pj/ujZnZ2uePMiuWrZvZ3M7vPzK4yswVTrBfpMZ7pmFngW+Hz95nZc8sdY0Ysy83sD2b2UPj/9+Ec6xxtZlszviufiSLWrJim/Ywr7BgflHHs7jGzbWb2kax1Ij/GZnaxmW0wswcyluV1Xi3qecLd6+YGPAM4CFgJrMhY/kzgXqAV2A94DGjM8fqvAGeHf58NfDnC9/I14DNTPNcDLKqA4/054OMzrNMYHu/9gZbwc3hmhDG/EmgK//7yVJ9xlMc4n2MGvBr4P4J+sS8EbovwmC4Fnhv+PRf4R454jwZ+HVWMs/mMK+kY5/h+PAUkKu0YAy8Fngs8kLFsxvNqsc8TdVXic/eH3D3XCC8nAj9192F3fwJ4lGDotFzrXRb+fRlwUkkCnYEFY0i9Cbg8iv0X2eQQde4+AqSHqIuEu9/g7umpHW4l6EdaafI5ZicCP/DArcACM1ta7kAB3H2du/81/Hs78BDBCE3VrmKOcZZjgMfcvTfqQLK5+5+A/qzF+ZxXi3qeqKvEN41cw6Tl+sfcy93XQfDPDEQ1G+VLgPXu/sgUzztwg5ndFQ7tFqUPhtVAF09RhZHvsY/COwh+0ecS5THO55hV5HE1s27gcOC2HE+/yMzuNbP/M7NDyhtZTjN9xhV5jAn6Pk/1o7jSjjHkd14t6rGuuH58e8rMfgfsneOpT7n71VO9LMeySPp55Bn/W5m+tHeku681syXAjWb29/CXVtFNFy/wbeALBMfyCwTVs+/I3kSO15b02OdzjM3sU8AY8OMpNlO2Y5xDPsesYr7TaWY2B/gF8BF335b19F8JquZ2hNeCfwXsPnNxec30GVfiMW4BXgf8R46nK/EY56uox7rmEp+7HzuLl+U7TNp6M1vq7uvCKo0Ns4lxOjPFb2ZNwOuB502zjbXh/QYzu4qgmqAkJ+V8j7eZXQT8OsdTZR+iLo9jfCpwAnCMhxcYcmyjbMc4h3yOWUUN/WdmzQRJ78fu/svs5zMTobtfZ2YXmNkid49scOU8PuOKOsahfwL+6u7rs5+oxGMcyue8WtRjrarOwDXAW8ys1cz2I/gVdPsU650a/n0qMFUJspSOBf7u7mtyPWlmHWY2N/03QWONB3KtW2pZ1ztOniKOihqizoJJkM8CXufuqSnWifoY53PMrgFOCVsevhDYmq5OKrfwmvT3gYfc/etTrLN3uB5mdgTBuSlZvih3iyefz7hijnGGKWuDKu0YZ8jnvFrc80SULXzKfSM4+a4BhoH1wPUZz32KoNXQw8A/ZSz/HmELUCAO3AQ8Et53RvAeLgXem7VsH+C68O/9CVo83Qs8SFB9F9Xx/iFwP3Bf+CVdmh1v+PjVBC39Hosy3jCWRwmuJdwT3r5Ticc41zED3pv+bhBUDZ0fPn8/Ga2YI4j1KIJqqfsyjuurs+L9YHgs7yVoVPTiiL8HOT/jSj3GYTwxgkQ2P2NZRR1jgqS8DhgNz8XvnOq8WsrzhIYsExGRuqKqThERqStKfCIiUleU+EREpK4o8YmISF1R4hPJYGavMLPPmlkljMCRl7AbzifN7G1RxyJSDZT4pKTCEeHdzE6LOpaZmNmzCbpdjLv7k1HHU4CLgHdTYAd6Mzst/GyOznP9HjNbOdMyyS3s73eLmf04a7mb2aVlimGpmaXCQRrqlhJflTCzmJl9xMz+bGb9ZjZqZuvN7LrwBFZzo/CUk5ktJkh633L3/4o6nnyZ2SeAVxCMMrN6pvUlf2b2qjApXTbF818In393npt8K/B8gllLIuFBB/vvAP9tZrGo4oiaEl8VMLOnA3cD/wsMAV8CzgC+DjQDlwBfjCzA2rAC+KK7fzLqQPIVjn3ZCrzC3R+fxSZ+CLSzZ0OtHUQwqknNcffrCUrTp5jZ6zKfM7PnE0yhc727X5TnJj8DXOtTDy5fLt8i6Bx+esRxREYd2CucmbUTJL2nAW/2HOMchv+Ez3f3CyKIb64HU81M9fzRwB+A09390jKFJdOY6TOb5nU9QI+7H130oCpUOGzZ/QQ/MA5x934zayMY8HkpcGg+1eJmdgzwO+D17n5V1nMOXObupxU7/mni+SOw0N2fXa59VhKV+Crfuwh+VX8tV9IDcPc7spOemZ1kZjeb2Y7wdrOZ5Zy/Kt9109dzzOxwM7vezLYSDEOVfv5EM7vbzIbMbLWZ/SdBiTTXPheZ2fnheiPh/flmFs9aL30d6hVm9nEze8zMhs3sH7muU6Svl5jZi8zsj2Y2YGabzOx7YQkpe/2lZvZtM+sL41hrZhdaMCJ/9rrzzezLFswAPWxmG83scjPbP9d7zPH6S8P44uHfm8xsu5n9ysz2Dtc5w4KZyocsmAl+qs/szWa2Knx9ysxuM7M3THM8jgnX3wFcm3Vsj856zXIzu9KC2bq3mdm1Zva0KeLIeY3PzFZYMIP9pvBYPWxmn8qukg+/Tz1mtk94LDeHn9n1ZnZg1roFfRfC1xxrZjeY2ZbwmN5nZu/NtW4u4Q+EdwJ7AeeFi/+bYFLrDxdwLfiNwDhwQz4rm9lzzewpM/ubmXWFy4r2/SGYbutZZnZwnvHXlijHltMtr7Ht/kgwzuH+Bbzm/eFrHiKojjkr/NuBM/Zg3R7gcWAzcCFBdevHwudOBibC5z8JfCLczl/DbZ2WsZ35BGPuTRCMhfp+giqlifA1czPWPS18/a0EYwx+Avgw8Pdw+ZFZMTrBWJBJ4H+A9xCMD+jAhVnrdgFPAhuBcwgaiHwZ2EYwbuD8rJgfBLYD3wzf+2cJxnzdSNZs11N8LpeGcdwBXBW+768TTH90C/Dv4X7PBj4SHstRYL+s7fxXuJ3/C9f7EEGp2oEP5DgeD4Rxfz18j+/OOrZHZ6y/AHgijOm8MMYrgL7wfa7M8Z3IXvZqgvFwHySYHuc94XsfB36Wte7KcLuPAj8C3kcwI/dw+F1o3IPvwhkE36m/hMf2/eFxd+CrBf4fnp9+Xfg+rinw9Q8B907xnAOXZjx+Zfh53UzGeMDF+v6E23pZuK33FvI+auUWeQC6zfABBSfwbQWsvxDYEZ5I5mUsn0cwuOt2YEGh64bLe8J/lndl7bMxPDFuAhZlLJ8P9LJ74vvvcNn7s7bzgXD5FzKWpU92dwMtGcuXhSfHy7O24eHJ7oVZy38TngTmZCy7mmAKlH2z1l0Rnkw+l7Hsm8AgcFjWugmCRHlpHp9N+sR1ftbyr4fL+7I+h2eHy7+Usey54bIv5tj+r8JYMn84eHg7Nsf66WN7dMayL4bLTs9a9xvh8pVZy3sylwFtwFME1w2bstb9aI79rQyXfSJr3X8Pl79qNt8FgmrIIeAnOd73NwmS19MK+L/qIPifcIL/yb0LeG1juL9fTvH8ZOID3g6MhJ9le7G/PxnP7Rs+d26+76OWbqrqrHzzCE5m+TqO4J/0W77r/FvbgHOBOQRTGxW6blo/QWOaTM8jmCvrEs+Y28vdtxK0IMt2MsGv/Auzln+XIHmenOM1F7j7SMa2nyQoNeaaSPMWd781a9nvCeaf7Iag2pJgzr1rgKGw6nWRmS0iOJk/Sthow8wMeBvByfzJrHUHCEoghTTw+EbW4z+H9z/I+hzuI/jsM9/j2whOWJdlxhHGcg0wF3hR1vbvdfff5RnbSQSl2B9kLf9ynq8/jqBa8BJgQVZ814XrZB+rCYIGF5l+H97n+nzz+S68geC63PdzHKdrCS7zHJPne4IgGaU/mzvd/akCXhsP99c/3UpmdhZwGXAx8M/uPjjFqt/IelzI9yctPR1RrtnOa56awFe+bQQns3ztF94/mOO59Hxi+89i3bTH3H08a1l6nb/n2M7fpojxTncfy1zo7mNm9jBBqSZbrlaLSYISV77rQnASguC6aQPB9Zt35lg/czuLw9e9kiBh5zIxxfLptpu2Obx/Ise6m9kZMwTXlozcxzptr6zH/yggtv2BO7I/Yw8mCd2Sx+ufEd5fPM062fGtdfehrGXZn1emfL4L6TimS/jZcUzn08BzCKrRX2lmb3H3n+b5Wg/vc80invZ6gv/zi9x9pmuQe/L9SUvH4jmeq3lKfJXvAeClZra/59dkfbp/rj1ZNy3X5KzT/RPNZh+5ZCfb6bY/1bqZ66fvf0TwKzuXwax1f0f+JZ8p5fjhkJbPezSC4/xP06yf/UMm54S605jqZJjPZ5le598JkkQu2TNn5/N55bN+9nECOIVg/rdc8uoCYmbPJbhufQNBbcQ9wHlm9gfPMdN5DkmCH0ad06xzO0FtxBvM7EJ3v3OqFffw+5OWjmWqH3I1TYmv8v0CeClB6858+pg9Ft4fQjCpY6ZnhvePz2LdfPb5jBzP5Vr2OHCQmTVllvrCFn8H5rnPPfUowQm+JY9qwI3AFoLrJ/lWGZbKI8DxQJ+7P1SC7T8OHGhmjZknWDNbSnDNNp/4AAYiPlbpODbtSRxm1krwwyhFcG07ZWbvIGh09m2Cktq03H3CzB4id5Vj2hqC2cd/D/zOzI7PUV1fTE8P77Nnla8LusZX+b5HMCv8x6dp2v48M3t/+PBGgutOZ1rQBym9zlzgTILGLDfOYt3p3EXwj3t6eA0lvZ15BDNAZ/sVQfXhu7KWvztcflUe+9wj7p4kuOb0ejN7YfbzFlgcrjsB/Bg4IleXgXD9cl0r+WF4/0UzayxBHFcTVAGekrX8rDxffz1Bg6GzzWy3Eo6ZtWd+10roSoIGL5+3oC9sdhzzw6Q2k88DhwIf9XBkHHdfRXBN8mQze0ue8awEnhH+T+QUXqt8GUGJ+AYzOzLPbc9G+jv/xxLuo2KpxFfhwl+YJxC0SvyVmd1AkIySBEni5cCrCJqA4+5bLBjG6nzgNts5BuBpBL/y3hM2Oilo3RliHDezjxKcbG43s4sIWkW+I4yzK+slXyHo13R+WI10N3A4wbW2h9PvpQzeB6wC/mRmPwjjaCC4znUiQQOPz4Xrfgo4ErjSzK4kaNAyQnBd6dUEyf+0Ugfs7neY2WcJTsj3mNnPCE6USwkaGb0aaNmDXXwF+BfgIjN7HkG16dEEDWY2TfO6dHwDZnYKwY+bh83sYoLS9QLgYIIS0skEiaBk3H2Nmb2P4IfjQ2b2Q4IWxouBZxE04nkmQUOmnMIfRB8HrnP37GuWnwReQ/5Vnj8jaLV8PMH/yVRxP2VBv8rfAdeb2WvcvRTJ6TXA/e4+3bXi2hV1s1Ld8rsBMYLm4KsILliPErS++w1BE+jGrPVPJui/NBDe/gKcNMW281qXHH22sp5/PcH1j2FgNfAFglZ+u3RnCNddDFxAUFIcDe/PJ6M7RLjeaWQ1gc94biXBSCKZy3bpEzXTdoBFBH2z/kHQ/H0LwUgd3wSemeMz+H/h84ME3T0eIuiD+II8PsNLg3+53ZYfnesYTXfMCU5c1xO0FEwf7/8D3pfP8ZjhmHQBPydoWLWdoBXk03LFMk18hxJcP32S4AfC+vB79f/YtW/abp9huLw7jO1zs/0uhMuPJKhB2BDGsZagz+O/AW3TfFZtBA2INgP7TLHOUUzTTSHH+g8SDFmWvXy3z4igQcrdBP+PxxTz+xMe2wmy+nzW001DlomIlEFYLfojgqHPHo4wjv8lqHE50N0LbfhUE5T4RETKxMxuAZ5w93+JaP97EzRgep+7T9WaueYp8YmISF1Rq04REakrSnwiIlJXlPhERKSuKPGJiEhdUeITEZG6osQnIiJ1RYlPRETqyv8HqrlUnSfc7PIAAAAASUVORK5CYII=\n", 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\n", 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fxKo92awpy0SkJjr7V2ZQiU9ilGpNqMQnIjWRGzOsEp/ESiU+EamV/hJfA43jU+KrQ21JlfhEpDZ2rb6uEp/EqD3ZrOEMIlITucSnKcskVimV+ESkRtLdquqUOtDe2qy5OkWkJjpzJT4lPolTKpnQ6gwiUhPp/uEMquqUGKnEJyK10tmtEp/UgVQywc6ePrJ9HncoIjLGpTO9mMG4lsZJB43zl44iuW7FuamERESqJZ0JE1SbWdyh1IwSXx3qn6hag9hFpMoabUkiUOKrS7nxNJ0a0iAiVdbZ3ViL0IISX13Klfg0bZmIVFs609tQY/hAia8utWtNPhGpkc7ubEPN2gJKfHUp1V/VqRKfiFSXSnxSF/p7darEJyJVls5kG2qCalDiq0vtauMTkRoJiU8lPolZ7tuX2vhEpNo6M71q45P4tUdjatTGJyLVlu5WiU/qQGtzE02GJqoWkarK9PaRyfZpHJ/Ez8xoT2qiahGprlwHOs3cInWhLZlQr04Rqap0T24RWpX4pA6EpYmU+ESkenJLEinxSV0Ii9GqqlNEqie3CG0jrcUHSnx1S218IlJt/SU+DWeQepBqTWgcn4hUlUp8Ulfak82auUVEqirXj0AD2KUuqFeniFRbV1Tia1OJT+pBezKhXp0iUlW5Nj4NYJe6kGpt7q9/FxGphtxnjKYsk7rQnkzQk3UyvX1xhyIiY1RnJktLwkg2N1YqaKy/dhRJ9a/CrlKfiFRHurvxFqEFJb661d6/Crva+USkOjoz2YZr34OYE5+ZTTKzn5vZY2a2ysxOMrMpZnaLmT0Z3U+OM8a45HpZdanEJyJV0pXJ0qbEV3NfB37j7ocCRwGrgMuA29x9HnBb9HvDyX0L69TSRCJSJWERWlV11oyZTQBeA3wfwN0z7r4NOA9YGh22FDg/jvjilqt317RlIlItYRFalfhq6UBgE/BDM3vAzL5nZu3ATHdfDxDdzyj2YDO71MxWmtnKTZs21S7qGsm18WkxWhGpls5Mb8NNVwbxJr5m4Fjgv939GKCTMqo13f0Kd1/g7gumT59erRhjoxKfiFRbOpNtuEVoId7Etw5Y5+53R7//nJAIN5jZLIDofmNM8cWqv8SnXp0iUiWd3b3q1TkQM9vLzJ4ysw9V6ond/QVgrZnNjzadBvwZuAFYFG1bBFxfqeccTXaN41PiE5Hq6MpkG3IcX0l/sbvvMLOpwI4KP//fA1ebWRJ4GngPIRlfa2bvA9YAF1b4OUeFXIOzFqMVkWpwdzozvQ3ZuaWcVH8XsAD4XqWe3N0fjM5Z6LRKPcdo1ZJoIplo0gB2EamK7t4++rzxFqGF8tr4LgPeZmbvMTOrVkCyS1iMViU+Eam83Hqfjdirs5y/+KvAi4QS35fN7CkgXXCMu3vDl9YqJSxGqxKfiFRerv+AqjoHdyDghHY3gJmVD0fypZIq8YlIdeSGSjXizC0l/8XuPreKcUgRYU0+lfhEpPIaucQ3aBufmd1kZqfm/W5mdoiZjat2YAKpFpX4RKQ6crNCNeJwhqE6t5wN7JP3+xTCRNILqxaR9GtvTaiNT0SqorN/9XWV+EqhHp01kko2q8QnIlWRbuA2vriXJZJBtLcmNI5PRKoiV5ukKcukrqSSzZq5RUSqIlfi0yTVxXmJ26TC2pMJ0j1Z3HW5RaSyciW+tpbGK/GVkuq/b2bfKdh2o5kVq4Nzd59YgbgEaEs24w47e/poa8DqCBGpnq6eLONamkg0NV63jaES3x2odBeb3NJEnZleJT4RqaiwJFHjVXPCEInP3U+tURxSRP/SRN1Z2CvmYERkTAmL0DbmF2p1bqljud5WWoVdRCqtkUt8Snx1LNfbSmP5RKTS0plsQw5eByW+utZf4tPsLSJSYZ2Z3oYcvA5KfHUt16FFE1WLSKV1ZbINOZQBlPjqWq7+XVWdIlJpKvFJXUr1D2dQiU9EKivdrTY+qUP9JT5NWyYiFaYSX4nMLGFml5jZVWZ2i5kdE22fHG3ftzphNqZc/btKfCJSSdk+Z2dPX8OW+EpO92aWAm4mrMXXCaSAydHu7cDlwA+AT1U4xobV1GSkkgmV+ESkovqXJNI4viF9GlgAXAAcSN66fO6eBX4BnFXJ4CQsEpnuUYlPRCqnK6pFatSpEMtJfBcCV7j79UBfkf2rgbmVCEp20dJEIlJpueaTdk1ZNqR9gIcG2Z8Gxo8sHCmUSmoxWhGprM7oy3RKVZ1D2gIM1nnlCOD5kYUjhdpbmzWOT0QqKjcphtr4hnYb8J6ok8tuzOwA4L3AbyoVmASpZEJTlolIRXX2r76uqs6hfIbQi/Ne4AOEdfrONrMvAvcD3cAXKx5hg2tPqsQnIpWV7laJryTuvho4DegF/o3Qq/OjwMeBtcBp7r62GkE2slRrQnN1ikhF5b5MaxxfCdz9PuAoMzsSOIyQ/J509weqEZxEwxmU+ESkgnKfKUp8ZXD3R4BHKhyLFNGebO7vgSUiUgm5Nj5NWSZ1KZVspru3j95ssaGTIiLlS3dnaTJobW7MFDBgujezPkIHlnK4uzfmV4gqyQ0wTfdkmZBozDepiFRWZ6aX9mQzZjb0wWPQYEnqSvZMfMcBRwKPA6sIbXyHAvMJVZ/3VSHGhpbqX6Ehy4RxLTFHIyJjQbo727BDGWCQxOfui/N/N7MzgLcC57v7DQX7zgd+BPxj5UNsbP0lPg1pEJEKSfdkG3YoA5TXxvdZ4DuFSQ/A3X8JXAF8rkJxSSS3NJF6dopIpaS7ext2gmooL/G9EnhqkP2rCdWgUkG5Xlfq2SkilZJr42tU5SS+F4EzB9l/NvDSyMKRQrlxNirxiUilpDON3cZXTuL7MXCemX3fzA6LVmNPRD//AHgjcHV1wmxc/SU+tfGJSIV0djd2ia+cv/xTwMHAe4DF7FqTr4nQu/NXlLn6upl1AC8DWaDX3ReY2RTgp4S1/TqAt7n7i+WcdyzpL/FpomoRqZB0Jtuws7ZAGYnP3buBC8zsTOA8dq3C/hRwvbvfPMwYXuvum/N+vwy4zd0vN7PLot8/Psxzj3q5b2Xq1SkilZLOZBt21hYYxpRlUYIbbpIrxXnAqdHPS4FlNHDiy/W80mK0IlIp6Yx6dcbJgZvN7D4zuzTaNtPd1wNE9zOKPdDMLjWzlWa2ctOmTTUKt/Zam5tINJlKfCJSEZnePnqyTnsDJ76SS3xRB5ahuLu/r4znP9ndnzezGcAtZvZYqQ909ysIYwdZsGBBuVOrjRpmpsVoRaRidi1JpKrOUiwu4RgHSk587v58dL/RzK4DTgA2mNksd19vZrOAjWXEOCZpMVoRqZRcs0m7hjMMzd2bCm9AC2Gezu8CdxFWaC+JmbWb2fjcz4Qxgo8ANwCLosMWAdeXes6xKtWaUBufiFREulslvhG18bl71t2fdPe/ArYAXyrj4TOBO83sIeAe4P/c/TfA5cAZZvYkcEb0e0NrTzbTpcQnIhWQVolveAvRDuDXwKeBD5RysLs/DRxVZPsW4LQKxjXqtSUTmrJMRCoiNxlGW4tKfJUwFdirgueTSHsyoSnLRKQicpNhqMQ3AmY2CTgd+DBaj68qUq3NdG5Nxx2GiIwBnerVWdZwhsFWZDdgK/CRSgQlu2tPJjRlmYhUhNr4yivxFVuR3QkJ7wngJ+7+cqUCk11SyWZNUi0iFdGpXp1lzdW5uIpxyCDaWxN0ZbK4O2YWdzgiMorleog38iTVcU9ZJiVIJZvp7XMy2b6hDxYRGURnJksy0URLonE//ssq65pZE2FQ+QWE1RkAngZ+AVzp7vpkroL8pYlamxv3W5qIjFw609vQi9BCGSU+M2sDbgO+B5wDTIxu5wDfB241s3HVCLLR5ZYmUjufiIxUZ3e2oRehhfKqOj8FnAJ8BZju7rPdfTYwDfgPwlJCn6x4hNL/7Uxj+URkpNKZ3oZu34PyEt/bgWvd/WP5K6K7+zZ3/zhwLfCOSgcoeSU+zd4iIiPUmcmSauBFaKG8xLcfYVHYgdweHSMVlvt2pvk6RWSkujK9Db0WH5SX+LYB8wbZf3B0jFRYe2uujU+JT0RGprM729Bj+KC8xHcL8DdmdlbhDjM7kzA59W8rFZjs0pbr1anOLSIyQmrjK284w6eAs4CbzOwB4NFo+xHAMcBm4F8qG55AfhufSnwiMjKdmWxDT1cG5c3c8qyZLQC+CLwJODba9TLwE+AT7r6m8iHKrl6dKvGJyMiku3sbvqqzpL/ezBLAvsAOd3+XhXmzphMmp97o7gNNXi0VkGoJiU8lPhEZib4+J92TVeeWEo9rIczQ8j4ADza6+wYlveprTjTR2tykEp+IjMjO3izuaDhDKQe5+05CG15ndcORgbS3NmsAu4iMSP+SRCrxlewm4I3VCkQG19aS0JRlIjIiuXU92xq8ja+cxPcxYJaZLTWzV2heztpqb9VitCIyMrkvz41e4isn7W8kLDx7FHAxUGxtOHf3xv4qUSVajFZERirXT6DR2/hGugK71Eh7a0JtfCIyIrme4SrxlUgrsMcrlWxmy4503GGIyCjWX+JTG9/AzCxtZm/P+73VzC41s1nVD03ytScTdPWoxCciw9ffq7PBZ24ZqnPLOCD/Cu0F/DdwWNUikqLaks0awC4iI5Kb6L6twas6y+nVmbNHjxapvvZkQgPYRWRE0t25Xp2q6pRRIBUNYO/rU/8iERme/hJfi0p8MgrkemGpnU9EhitMUJ2gqamxK+5KKe/ONbPcSgwTo/t5Zrat2MHufn8lApPdpfoXo+3tX5hWRKQcnRktQgulJb7PRrd83x7k+MYuQ1dJf4lPY/lEZJi6Mr0N36MThk58n6lJFDKk3IrJ6tkpIsPVmck2fPseDJH43F2Jr07kqifUs1NEhiutphJAnVtGjVz1RKeqOkVkmDq7s/21R41MiW+U6C/xdavEJyLDk870NvwYPlDiGzVyb1aV+ERkuDq7s6TUuUWJb7TIvVm71MYnIsPU1ZNViQ8lvlGjv1enSnwiMkyd0QD2RqfEN0qMa05gpjY+ERme3mwf3b19GsBOHSQ+M0uY2QNmdmP0+xQzu8XMnozuJ8cdYz1oajJSLQmV+ERkWNI9WpIop6zEZ2azzewHZrbOzDJm9rpo+/Ro+/HDiOGDwKq83y8DbnP3ecBt0e9CbqJqlfhEpHzpaPILlfjKSHxmdgCwEngL8Ch5U5O5+yZgAfCX5Ty5me0HvAH4Xt7m84Cl0c9LgfPLOedY1p5MaOYWERmWzuhLs0p8pc3VmfN5oA84EugCNhbsvwl4U5nP/zXgY8D4vG0z3X09gLuvN7MZZZ5zzEolm/tXUBYRKUdunl+V+Mqr6jwd+La7rwWKLQr3LLBfqSczszcCG939vjJiyH/8pWa20sxWbtq0aTinGHVSWoxWRIapM+oYp16d5SW+CcD6QfYnKa8EeTJwrpl1ANcArzOzq4ANZjYLILovLFkC4O5XuPsCd18wffr0Mp529Eq1Nqtzi4gMS7q/xKfEV07iWwscMcj+E4HVpZ7M3f+fu+/n7nOBi4DfufvFwA3AouiwRcD1ZcQ4prUnExrOICLDsquNT1Wd5SS+XwDvNbMj87Y5gJm9BbgQuLYCMV0OnGFmTwJnRL8LauMTkeHb1atTJb5yO7e8EbgbuIOQ9C4zsy8AJwAPAl8ZThDuvgxYFv28BThtOOcZ69pbE/3f2kREytFf4lPnltJLfO6+HTiJMPRgAWCEEtl8worsr3X3ndUIUgKV+ERkuPrb+DScoawSXy75fRD4oJlNJyS/Te5erJenVFh7MkGmt4+ebB8tidgn3RGRUSSd6aW5yUjqs6O8xJcvGrQuNdQW1c2nM1kmtunNKyKl6+zO0pZMYGZxhxK7AROfmb1mOCd09zuGH44MJtcbK53pZWJbS8zRiMhookVodxnsKiyj+ED1oagCuUr6lybStGUiUqbOjBahzRks8b2n4HcD/h44BLga+HO07XDgHcATwH9VIUaJ5L6tafYWESlXulslvpwBr4K7L83/3cz+AZgOzHf35wv2fRZYwe5zbkqF5b6tqWeniJQrnclqDF+knB4Sfw98pzDpAbj7OuA70TFSJSrxichwpTNZzdoSKSfxzQbSg+zvjI6RKlEbn4gMV2emt79neKMrJ/E9A1xsZuMKd0TbLgE6KhSXFJFqVYlPRIYn3Z2lXYkPKG8c31eAK4B7zexbwOOEXp+HAX8b3f91xSOUfu0q8YnIMHVmerUWX6Tkq+Du3zOzvYDPEaYoyw11MMLCtP/k7t+tfIiSk1Ibn4gMg7tHbXwq8UH5U5Z9zcx+CJwJHEhIek8Bt7j7tsqHJ/mSzU20JEy9OkWkLJlsH9k+V4kvUvZVcPeXgJ9VIRYpgSaqFpFy5ZYkUhtfoAkfR5lUMkGnFqMVkTLkliRSiS9Q4htlUsmESnwiUhYtSbQ7Jb5Rpr21WYvRikhZcrVEmrIsUOIbZVLJRH99vYhIKfpLfGrjA5T4Rp32ZDPpHpX4RKR0ucSnKcsCJb5RJtXarBKfiJQl3d+5RSU+KDPxmVnCzC4xs6vM7BYzOybaPjnavm91wpScVEtCbXwiUpbcbE/q1RmUfBXMLAXcDCwkTEidAiZHu7cDlwM/AD5V4RglT6pVbXwiUp7+Ep96dQLllfg+DSwALmDXrC0AuHsW+AVwViWDkz21J0OvTncf+mAREfJKfC1KfFBe4rsQuMLdrwf6iuxfDcytRFAysFRrgj6H7t5iL4GIyJ7SmV5am5toTqhbB5SX+PYBHhpkfxqtwF51uXE4mr1FRErVmelVj8485SS+LcBgnVeOAPZYnV0qK9crS7O3iEip0pmsenTmKSfx3Qa8J+rkshszOwB4L/CbSgUmxe1amkiJT0RKk+5W4stXTuL7DKEX573ABwjr8Z1tZl8E7ge6gS9WPELZTa5XloY0iEiptAjt7kpOfO6+GjgN6AX+jdCr86PAx4G1wGnuvrYaQcouuTY+DWkQkVJpEdrdlbsQ7X3AUWZ2JHAYIfk96e4PVCM42VOuukIlPhEpVWd3L1Pa92ilalglJT4z24vQo/Ob7v41d38EeKSqkUlRuZ5ZaSU+ESlROpPVIrR5SqrqdPcdwFRgR3XDkaG0q1eniJQpncmS0nCGfuV0brmLMHOLxCj35lUbn4iUKp3pVYkvTzmJ7zLgbWb2HjOzIY+WqmhrURufiJSur89JZ7K0qVdnv3KuxFeBF4HvAV82s6cIs7Xkc3c/rVLByZ4STca4liZVdYpISbp6orX4VOLrV07iO5Awdm9N9PvMyocjpWhPNmvKMhEpSWf/ygwq8eWUfCXcfW4V45AypFoTKvGJSEly/QFU4ttFU3WPQu3JZg1nEJGS5L4ka+aWXcq+EmbWCpxKqPoEeBq43d13VjAuGUQqqRKfiJQm9yVZM7fsUlbiM7NLCJ1cJrNrIVoHtpnZP7r7kjLONQ64A2iN4vi5u/+rmU0BfkpY268DeJu7v1hOnGNdSm18IlKizv4SnxJfTslVnWb2dmAJYRD7J4HzCauxfyra9v3omFJ1A69z96OAowkTXp9IGDZxm7vPI6wIcVkZ52wIKvGJSKnS0ZdkVXXuUs6V+ATwGHCiu2/P2369mX0buJuQEH9aysnc3dk1E0xLdHPgPEJVKsBSYBlhImyJtLc2axyfiJQkV+JrV+LrV07nlvnADwuSHgDu/hLwQ2BeOU9uZgkzexDYCNzi7ncDM919fXTe9cCMAR57qZmtNLOVmzZtKudpR71UMqGZW0SkJOn+4Qyq6swpJ/G9wK52vWL6gA3lPLm7Z939aGA/4IRo1YdSH3uFuy9w9wXTp08v52lHvfbWZlV1ikhJ0irx7aGcxLcEWByt1LAbM5tAWIH9h8MJwt23Eao0zwY2mNms6LyzCKVByZNKJujqyZLt87hDEZE6l+7uxQzGtWj0Ws6AXwHM7DUFm+4A3gj8KWrTe4zQJnc4YUX2zcAfSn1iM5sO9Lj7NjNrA04HvgTcACwCLo/ury/5r2kQud5ZXT1Z9tJsDCIyiM5MllRLAk2xvMtgn5rLCIktX+7KfSlvX27bHOAWoNSK5FnAUjNLEEqe17r7jWa2ArjWzN5HmB7twhLP1zBS/auw9yrxicig0pleTVdWYLCr8Z5qPrG7PwwcU2T7FkATXQ8iNxC1U+18IjKEzm4tQltowMTn7ktrGYiULlfi0yB2ERlKOtOrMXwF1No5CuV6Z+WWGxERGUg6k9V0ZQWGM1fnGYTxelPZc3iDu/tnKxGYDCw3HkclPhEZSmcmy6S2lrjDqCslJz4zOxS4DjiEgcfzOaDEV2W5Xp0ayyciQ0l397LPxHFxh1FXyinxfQeYDXyIMGxBE0fHpF1tfCJSonQmqza+AuVcjROAy939m9UKRkqjEp+IlKoz06s2vgLldG7ZQhikLjFrj8bkaKJqERlKulslvkLlJL5rCEsRScxam5toMuhSiU9EBtGT7SOT7dM4vgLlfA34JPBzM7sO+AZhkdg9PnndfU1lQpOBmBntyWY6tUKDiAwi1xyimVt2V87V6AEeBf4JOHeQ4/TVogbakon+5UZERIrpX5JIJb7dlJP4vgR8BHgAuBP16oxVWIxWJT4RGViuVkiJb3flJL5LgOvc/a3VCkZKFxajVYlPRAaWK/FpLb7dldO5JQXcXK1ApDztyWb16hSRQfWX+DScYTflJL67gCOqFYiUJ9WaUK9OERlUV49KfMWUk/j+EXi7mb25WsFI6Sa2tfDctp30ZvviDkVE6tTarV1A+LyQXcr5GvA14GXgZ2b2HPAMew5ncHfXWno1cM4rZnH9g89z66oNnH3krLjDEZE64+78+O41HD5rAnOmpuIOp66UU+I7kJAo1xAS3v7AAQW3AysdoBR3+mEz2XdSG0uWd8QdiojUobue3srjG15m8cK5mA20rkBjKrnE5+5zqxiHlCnRZLz7pDlc/uvHeOyF7Ry694S4QxKROrJ0eQeTUy2ce/Q+cYdSd7QQ7Sh20fGzGdfSxNLlz8YdiojUkee2dXHzn1/gohP2Z1yLenQWKjvxmdkEM3uzmX00ur3ZzMZXIzgZ3KRUkvOP3pdfPvAcL6V74g5HROrEVXeFL8MXnzgn5kjqU1mJz8z+ElgL/Az4cnT7GbDOzN5X+fBkKIsWzqWrJ8u1K9fGHYqI1IGdPVmuuWcNZx6+N/tOaos7nLpUcuIzs3OBK4BNhKnLzohuHwY2AleY2ZuqEaQM7LBZEzjhgCksXdFBts/jDkdEYnbDg8/zYrqHRQvnxh1K3SqnxPcxYBVwtLt/3d1vi27fAI4FHgM+Xo0gZXCLF85l3Ytd/O6xjXGHIiIxcneWLO9g/szxnHjglLjDqVvlJL6jgCXuvqNwh7u/DCyNjpEaO/PwmcyaOI6lGtog0tBWPvsif16/nUUawjCocju3DHYlVc8Wk+ZEExefOIc7V29m9caX4w5HRGKyZHkHE8Y1c/4xGsIwmHIS30PAIjNrL9xhZnsBi6NjJAYXHT+bZLOGNog0qhde2slvHnmBtx8/m5Tm5hxUOYnvP4DDgPvN7G/N7LXR7e+A+4BDgX+vRpAytKl7tXLuUfvwv/evY/tODW0QaTRX3/0sfe5cctLcuEOpeyUnPnf/JfB3wD7AN4Fbo9s3om1/5+7XVyFGKdHihXNJZ7L8fOW6uEMRkRrq7s3y47vXcNqhM5k9RfNyDqWs8rC7f9vMfkwYxnAAoc3vKeAWd3+pCvFJGY7cdyLHzZnMlSs6WLxwLk1NatwWaQQ3PrSeLZ0ZFmsIQ0nKrgh2922EQetShxYtnMs//OQBbn9iE689dEbc4YhIlbk7S1d0cPCMvTj54KlxhzMqaK7OMeb1R+7NjPGtWrVBpEE8sHYbD697iUUnzdEQhhINWuIzsxvKPJ+7+3kjiEdGqCXRxLteNYf/vPUJnt60gwOn7xV3SCJSRUuXdzC+tZk3H7tf3KGMGkNVdb6xzPNpLF8deMerZvNfv3+SK1c8y6fPPSLucESkSja+vJOb/rSei0+cQ3urhjCUatCqTndvGuoGvA64N3rI+qpHLEOaMX4cb3jFLH5+3zp2dPfGHY6IVMmP715DT1ZDGMo17DY+MzvSzP4PuA2YD/wzMK9SgcnILD75AHZ09/KL+zW0QWQsyvT2cfXda3jt/OkcMG2PeUVkEMNZj2+2mS0BHgBOI4zjO8jdP+/uXRWOT4bp6NmTOGr2JJYu76BPqzaIjDm/fmQ9m17u1ioMw1DOskSTzew/gMeBdwM/BQ519w+7+5ZqBSjDt3jhHJ7a1MmdqzfHHYqIVNiS5R0cMK2d18ybHncoo86Qic/MWs3s44SB6h8B/gAc5+4Xu3tHleOTETjnFbOYtldSqzaIjDEPr9vGA2u2cclJczRRxTAMmvjM7L3AauALhMR3uruf5e4P1iA2GaHW5gTvPGF/fvf4RtZsSccdjohUyJLlHbQnE7z1OA1hGI6h+r9+jzBEYSVwLXC0mR09yPHu7v9ZyhOb2WzgSmBvoA+4wt2/bmZTCNWoc4EO4G3u/mIp55Q9vevEOXx72VNcuaKDT73x8LjDEZER2ryjmxsfWs9FJ8xm/LiWuMMZlUoZ+GHA8dFtKA6UlPiAXuAf3f1+MxsP3GdmtxCWN7rN3S83s8uAy9DK7sM2c8I4zj5yb65duZaPnHmIlisRGeWuuWcNmWyfhjCMwFCfgq+t1hO7+3qicX/u/rKZrQL2Bc4DTo0OWwosQ4lvRBYvnMuND6/nugee412vmhN3OCIyTD3ZPq66aw2vnjeNg2doVqbhGjTxufvttQjCzOYCxwB3AzOjpIi7rzezojMtm9mlwKUA+++/fy3CHLWOmzOZI/aZwNLlHbzzhP01n5/IKHXzoxt4YftOPnf+kXGHMqrFPkl1tHr7/wIfcvftpT7O3a9w9wXuvmD6dHXnHYyZsXjhXJ7YsIMVT2vkichotXR5B/tPSWnllRGKNfGZWQsh6V3t7r+INm8ws1nR/lnAxrjiG0vedNQ+TGlPsuSPHXGHIiLD8OjzL3FPx1YuOWkOCQ1hGJHYEp+F+rbvA6vc/at5u24AFkU/LwK0qnsFjGtJcNHxs7l11QbWvaihDSKjzdLlHbS1JLhwwey4Qxn14izxnUyYAeZ1ZvZgdDsHuBw4w8yeJKz0fnmMMY4pF58Y1uv60V3Pxh2KiJThxc4M1z/4PBccuy8T2zSEYaRi69vu7ncShkoUc1otY2kU+0xq48zDZ/LTe9fy4dMPYVxLIu6QRKQE19y7lu7ePhZpCENFxN65RWpr0cK5bEv3cP2Dz8UdioiUoDfbx1V3PctJB05l/t7j4w5nTFDiazCvOmAKh+49niXLn8VdqzaI1LtbV23kuW1dWoWhgpT4GoyZsWjhXFat3869HZoJTqTeLV3ewb6T2jj9MA1hqBQlvgZ0/tGhgVyrNojUt8dfeJkVT2/h3SfNoTmhj+tK0ZVsQG3JMLThN4++wPPbtHawSL1asryD1uYm3q4hDBWlxNegLj5xDu7O1XdraINIPXop3cMvH3iO84/el8ntybjDGVOU+BrU7CkpTjtsJj+5Zy07e7JxhyMiBa5duZaunqw6tVSBEl8DW7xwLls7M9z48Pq4QxGRPNk+58q7Ojhh7hQO32dC3OGMOUp8DWzhQVOZN2Mvli7v0NAGkTry+8c2snarhjBUixJfAzMzLlk4lz899xL3r9kWdzgiElm6ooO9J4zjzCNmxh3KmKTE1+DefMy+jB/XrKENInVi9cYd/OHJzVx84v60aAhDVeiqNrj21mbetmA2N/1pPRu274w7HJGGd+WKDpLNTbzjBC2wXS1KfMIlJ80h687Vd6+JOxSRhrZ9Zw8/v28db3rlPkzdqzXucMYsJT5hztR2Xjt/Bj++ew2Z3r64wxFpWD9fuY50JstidWqpKiU+AcKqDZt3dHPTnzS0QSQOfX3OlSs6OHb/Sbxiv4lxhzOmKfEJAK8+eBoHTmtniTq5iMTi9ic30bElrSEMNaDEJwA0NRmXnDSHB9du46G12+IOR6ThLF3ewfTxrbz+yFlxhzLmKfFJv7cctx/tyYSGNojU2DObO1n2+Cbe9ar9STbrY7nadIWl3/hxLbz1uP248eH1bHq5O+5wRBrGlSs6aEkY73yVhjDUghKf7OaShXPJZPv4yT0a2iBSCzu6e/nZynWc84pZzBg/Lu5wGoISn+zmoOl78ZpDpnP13c/Sk9XQBpFq+8X969jR3ashDDWkxCd7WLxwDhu2d/ObR16IOxSRMc3dWbq8g6P2m8gx+0+OO5yGocQnezj1kBnMmZpSJxeRKrtz9Wae2tSpIQw1psQne2hqMt594hxWPvsijzz3UtzhiIxZS5d3MG2vJG94pYYw1JISnxR14YLZtLVoaINItazZkua2xzbyjhP2p7U5EXc4DUWJT4qa2NbCm4/dl+sfep6tnZm4wxEZc350VwcJM971qjlxh9JwlPhkQIsWziXT28c192pog0glpTO9/PTetZx15N7sPVFDGGpNiU8GdMjM8Sw8aCpXrXiWXg1tEKmY6x54ju07NYQhLkp8MqjFC+fy/Es7ueXPG+IORWRMyA1hOGKfCSyYoyEMcVDik0GddthM9pvcplUbRCpkxdNbeGLDDhYtnIuZxR1OQ1Lik0EloqENdz+zlVXrt8cdjsiot3R5B5NTLZx71D5xh9KwlPhkSG8/fjbjWpq4ckVH3KGIjGrrXkxzy583cNEJ+zOuRUMY4qLEJ0OalEpy/tH7ct0Dz7EtraENIsN11V2hh/TFJ2oIQ5yU+KQkixbOZWdPH9euXBt3KCKj0s6eLNfcu4YzD9+bfSe1xR1OQ1Pik5IcNmsCJxwwhStXPEu2z+MOR2TUueHB59mW7tG8nHVAiU9KtnjhXNa92MVtqzS0QaQc7s4Pl3cwf+Z4TjxwStzhNDwlPinZmYfPZNbEcSxVJxeRstzb8SKr1m9n8ckawlAPlPikZM2JJi4+cQ5/XL2FJze8HHc4IqPG0uUdTGxr4fyj9407FCHGxGdmPzCzjWb2SN62KWZ2i5k9Gd1rWoM6844T9ifZ3KRSn0iJ1r/UxW8efYG3Hz+btqSGMNSDOEt8S4CzC7ZdBtzm7vOA26LfpY5MaU9y7lH78Iv7n2P7zp64wxGpe1fftYY+d96tIQx1I7bE5+53AFsLNp8HLI1+XgqcX8uYpDSLF84lncnys5Xr4g5FpK7t7Mnyk3vWcNqhM5k9JRV3OBKptza+me6+HiC6nzHQgWZ2qZmtNLOVmzZtqlmAAkfuO5Hj5kzmRys66NPQBpEB/d/D69nSmdEqDHWm3hJfydz9Cndf4O4Lpk+fHnc4DWfRwrl0bElz+xP60iFSjLuzZHkHB8/Yi5MPnhp3OJKn3hLfBjObBRDdb4w5HhnA64/cmxnjW/mhVm0QKer+Ndv403MvseikORrCUGfqLfHdACyKfl4EXB9jLDKIlkQT73rVHO54YhNPbdoRdzgidWfp8g7Gtzbz5mP3izsUKRDncIafACuA+Wa2zszeB1wOnGFmTwJnRL9LnXrnq/anJWH8aMWzcYciUlc2bt/JTX9az4ULZtPe2hx3OFIgtlfE3d8xwK7TahqIDNv08a288ZX78PP71vHRs+azl/7BRQC4+u41ZN255CQNYahH9VbVKaPMooVz2dHdy//ep6ENIgCZ3j5+fM8aTj1kOnOntccdjhShxCcjcvTsSRw1exJLNbRBBIBfP7KeTS93axWGOqbEJyO2eOEcnt7UyZ2rN8cdikjslizv4IBp7bxmnoZZ1SslPhmxc14xi2l7JVmioQ3S4B5au40H1mzjkpPm0NSkIQz1SolPRqy1OcE7T9if3z++kWe3dMYdjkhsli7voD2Z4K3HaQhDPVPik4p414lzSJhxpYY2SIPavKObGx9ez1uO24/x41riDkcGocQnFTFzwjhe/4pZXLtyLZ3dvXGHI1JzP7l7DZlsH5ecNDfuUGQISnxSMYsXzuHlnb1c98BzcYciUlM92T6uuvtZXj1vGgfP2CvucGQISnxSMcfuP5kj953AlSs6cNfQBmkcv330BTZs79YqDKOEEp9UjJmx6KS5PLFhByue2hJ3OCI1s3R5B/tPSXHq/AFXUpM6osQnFfWmo/ZhSruGNkjjeOS5l7i340UuOWkOCQ1hGBWU+KSixrUkuOj42dy6agNrt6bjDkek6pYu76CtJcGFC2bHHYqUSIlPKu7iE8P6Y1fdpaENMrZt7cxw/UPPc8Gx+zKxTUMYRgslPqm4fSa1cebhM7nm3rV0ZbJxhyNSNdfcu4ZMbx+LNIRhVFHik6pYvHAuL3X1cP2DGtogY1Nvto+rVjzLwoOmMn/v8XGHI2VQ4pOqOOGAKRy693iWLNfQBhmbbl21gedf2qlVGEYhJT6pCjNj8cK5PPbCy9zzzNa4wxGpuCXLO9h3UhunHzYz7lCkTEp8UjXnHR0a/Jeu6Ig7FJGKeuyF7dz19FberSEMo5ISn1RNWzIMbfjtoxt4fltX3OGIVMzS5c/S2tzE2zWEYVRS4pOquvjEObi7hjbImLEtneG6B9Zx/tH7Mrk9GXc4MgxKfFJVs6ekOO2wMLRhZ4+GNsjod+3Ktezs6VOnllFMiU+qbvHCuWztzPCrh56POxSREcn2OVeueJYT5k7h8H0mxB2ODJMSn1TdwoOmMm/GXizVqg0yyv3usY2se7FLpb1RrjnuAGTsMzMWLZzLp375CKd/9XZOnT+DUw6ZzgkHTGFcSyLu8EQG9eyWTm5/YhN3PLGJP67ewt4TxnHmERrCMJop8UlNvOOE/cn2Obeu2sCP7nqW79/5DONamjjxwKmccsh0TjlkOgdMa8dMXcMlXl2ZLHc9vYXbn9jEssc30rElTLY+e0obbz1uP9514v60JFRZNprZWKh6WrBgga9cuTLuMKREXZksdz2zhdsfD9+in97cCYQPlpAEZ3DSQVPZq1Xfy6T63J3VG3dw+xObuP2JTdz9zFYyvX2Ma2nipNwXs/kzmDs1pS9mo4yZ3efuC/bYrsQncVuzJc3tT27i9sc3sfypzaQzWVoSxoI5UzhlfigNHrr3eH3oSMVs39nD8tWbQ7J7fBPPv7QTgHkz9ooS3XSOn6uq+NFOiU9Ghe7eLPc9+yK3Px6+fT/2wssAzJzQ2l8a/IuDpzExpSVgpHR9fc6f12/vT3T3rXmRbJ8zvrWZkw+exinzp/OaQ6az76S2uEOVClLik1HphZd2ckdUBfWHJzexfWcvTQbH7D+5v23wFftOpEnTRkmBrZ0Z/hDVJNzx5CY278gAcOS+E/q/RB2z/yS1141hSnwy6vVm+3ho3bb+0uDDz72EO0xpT/LqedM45ZDpvHredKaPb407VIlBeH+81N9W9/C6bbjD5FQLr54XviS9+pBpzBg/Lu5QpUaU+GTM2bKjmztXb9Y3+ga2YfvO/kR355ObeamrhyaDo2dP4pRDZnDK/FAjoImkG5MSn4xppbThnHLIdPZRG86oluntY+WzW/tf51wb8Izxrf2dUv7i4GlMSmkOTVHikwaT32tv2eObWF/Qa+/U+TNYMHeyeu2NAmu3plkWJboVT22mU71+pURKfNKw3J0nN+7obxu855mtZLJ9tLUkOOmgXQPo505rjztUYeBxnvtNbuPU+RrnKaVT4hOJpDO9YWaOKBHmZuaYMzXVnwRPPHAq7fpgrQl356lNnbsGkD+9he7ePlqbm3b7YqKZfaRcSnwiA+jY3Mkd/QPot9DVkyWZaOL4AyZz0PS9aGtJ0JZM0NaSIJVMMK4lQSrZTFuyibaWZtqSYXvuuFQywbjmRMMMsXB3erJOVyZLV0+WdKaXrp5s3u9Zdkb3ux2T6WNbV4a7n97Kc9FCxQdNb+/vlPIqzeUqI6TEJ1KC7t4sKzte7J+U+IXtO+nKZOnu7Sv7XONamqJk2cy4lqaQLAuTaDJBKrctb3tbdOyuRLvnY5pL7K3q7uzs6etPOPlJKN2TZWcm+r1osuqlq6ePrkxv8WOic2T7yvscaTJIJZtJJROhB+b86bxm3nRmT0mVfZ1FBqLEJzIC2T4vXmoZomTTldk9iex2TN5ju3qylPuv2JKwvFJmM+NaErQkbI/n7hrGAsDJRNOuZF1Ymm3ZvYQ7aLIueGzu52SiSdWWUnUDJT41YoiUINFktLc2V63dz93p7u3LS4ihKjCd6S2rVNaTdfaZuHvJcM+S5eClybaWhMY+yphWl4nPzM4Gvg4kgO+5++UxhyRSVWbGuJaE2rREaqDuvtaZWQL4FvB64HDgHWZ2eLxRiYjIWFF3iQ84AVjt7k+7ewa4Bjgv5phERGSMqMeqzn2BtXm/rwNeVXiQmV0KXBr9usPMHq/Ac08DNlfgPLWieKtvtMU82uKF0Rez4q2+SsU8p9jGekx8xbp67dHfzd2vAK6o6BObrSzWA6heKd7qG20xj7Z4YfTFrHirr9ox12NV5zpgdt7v+wHPxxSLiIiMMfWY+O4F5pnZAWaWBC4Cbog5JhERGSPqrqrT3XvN7O+A3xKGM/zA3R+t0dNXtOq0BhRv9Y22mEdbvDD6Yla81VfVmMfEzC0iIiKlqseqThERkapR4hMRkYbSUInPzC40s0fNrM/MFhTs+39mttrMHjezswZ4/BQzu8XMnozuJ9cm8v7n/6mZPRjdOszswQGO6zCzP0XHxTZ7t5l92syey4v5nAGOOzu67qvN7LJax1kQy7+b2WNm9rCZXWdmkwY4LtZrPNQ1s+Ab0f6HzezYWseYF8tsM/u9ma2K/v8+WOSYU83spbz3yr/EEWtBTIO+xnV2jefnXbsHzWy7mX2o4JjYr7GZ/cDMNprZI3nbSvpcrejnhLs3zA04DJgPLAMW5G0/HHgIaAUOAJ4CEkUe/2Xgsujny4Avxfi3fAX4lwH2dQDT6uB6fxr46BDHJKLrfSCQjF6Hw2OM+UygOfr5SwO9xnFe41KuGXAO8GvCuNgTgbtjvKazgGOjn8cDTxSJ91TgxrhiHM5rXE/XuMj74wVgTr1dY+A1wLHAI3nbhvxcrfTnREOV+Nx9lbsXm+HlPOAad+9292eA1YSp04odtzT6eSlwflUCHYKF9VzeBvwkjuevsLqaos7db3b33ujXuwjjSOtNKdfsPOBKD+4CJpnZrFoHCuDu6939/ujnl4FVhBmaRru6ucYFTgOecvdn4w6kkLvfAWwt2FzK52pFPycaKvENotg0acX+MWe6+3oI/8zAjBrEVsyrgQ3u/uQA+x242czui6Z2i9PfRdVAPxigCqPUax+H9xK+0RcT5zUu5ZrV5XU1s7nAMcDdRXafZGYPmdmvzeyI2kZW1FCvcV1eY8LY54G+FNfbNYbSPlcreq3rbhzfSJnZrcDeRXZ90t2vH+hhRbbFMs6jxPjfweClvZPd/XkzmwHcYmaPRd+0Km6weIH/Bj5LuJafJVTPvrfwFEUeW9VrX8o1NrNPAr3A1QOcpmbXuIhSrlndvKdzzGwv4H+BD7n79oLd9xOq5nZEbcG/BObVOMRCQ73G9XiNk8C5wP8rsrser3GpKnqtx1zic/fTh/GwUqdJ22Bms9x9fVSlsXE4MQ5mqPjNrBl4M3DcIOd4PrrfaGbXEaoJqvKhXOr1NrPvAjcW2VXzKepKuMaLgDcCp3nUwFDkHDW7xkWUcs3qauo/M2shJL2r3f0XhfvzE6G732Rm3zazae4e2+TKJbzGdXWNI68H7nf3DYU76vEaR0r5XK3otVZVZ3ADcJGZtZrZAYRvQfcMcNyi6OdFwEAlyGo6HXjM3dcV22lm7WY2PvczobPGI8WOrbaC9o4LBoijrqaos7AI8seBc909PcAxcV/jUq7ZDcAlUc/DE4GXctVJtRa1SX8fWOXuXx3gmL2j4zCzEwifTVtqF+Ue8ZTyGtfNNc4zYG1QvV3jPKV8rlb2cyLOHj61vhE+fNcB3cAG4Ld5+z5J6DX0OPD6vO3fI+oBCkwFbgOejO6nxPA3LAH+umDbPsBN0c8HEno8PQQ8Sqi+i+t6/wj4E/Bw9CadVRhv9Ps5hJ5+T8UZbxTLakJbwoPR7X/q8RoXu2bAX+feG4SqoW9F+/9EXi/mGGL9C0K11MN51/Wcgnj/LrqWDxE6FS2M+X1Q9DWu12scxZMiJLKJedvq6hoTkvJ6oCf6LH7fQJ+r1fyc0JRlIiLSUFTVKSIiDUWJT0REGooSn4iINBQlPhERaShKfCJ5zOx1ZvavZlYPM3CUJBqG8wkze1fcsYiMBkp8UlXRjPBuZovjjmUoZvZKwrCLrLs/F3c8Zfgu8H7KHEBvZouj1+bUEo/vMLNlQ22T4qLxfivM7OqC7W5mS2oUwywzS0eTNDQsJb5RwsxSZvYhM/uDmW01sx4z22BmN0UfYGNuFp5aMrPphKT3DXf/XNzxlMrMPga8jjDLzNqhjpfSmdlZUVJaOsD+z0b731/iKd8BHE9YtSQWHgbY/w/weTNLxRVH3JT4RgEzOxh4APhPYCfwReBS4KtAC/BD4AuxBTg2LAC+4O6fiDuQUkVzX7YCr3P3p4dxih8BbYxsqrX5hFlNxhx3/y2hNH2JmZ2bv8/MjicsofNbd/9uiaf8F+BXPvDk8rXyDcLg8PfEHEdsNIC9zplZGyHpHQS83YvMcxj9Ex7v7t+OIb7xHpaaGWj/qcDvgfe4+5IahSWDGOo1G+RxHUCHu59a8aDqVDRt2Z8IXzCOcPetZjaOMOHzLODIUqrFzew04Fbgze5+XcE+B5a6++JKxz9IPLcDk939lbV6znqiEl/9+0vCt+qvFEt6AO5+b2HSM7PzzeyPZrYjuv3RzIquX1Xqsbn2HDM7xsx+a2YvEaahyu0/z8weMLOdZrbWzP6NUCIt9pzTzOxb0XGZ6P5bZja14LhcO9TrzOyjZvaUmXWb2RPF2ily7SVmdpKZ3W5mnWa22cy+F5WQCo+fZWb/bWZrojieN7MrLMzIX3jsRDP7koUVoLvNbJOZ/cTMDiz2NxZ5/JIovqnRz5vN7GUz+6WZ7R0dc6mFlcp3WlgJfqDX7O1mdmf0+LSZ3W1mbx3kepwWHb8D+FXBtT214DGzzexaC6t1bzezX5nZQQPEUbSNz8wWWFjBfnN0rR43s08WVslH76cOM9snupYvRq/Zb83skIJjy3ovRI853cxuNrNt0TV92Mz+utixxURfEN4HzAT+K9r8ecKi1h8soy34QiAL3FzKwWZ2rJm9YGZ/NrP9o20Ve/8Qltt6hZkdWmL8Y0ucc8vpVtLcdrcT5jk8sIzH/E30mFWE6piPRz87cOkIju0AngZeBK4gVLd+JNp3AdAX7f8E8LHoPPdH51qcd56JhDn3+ghzof4NoUqpL3rM+LxjF0ePv4swx+DHgA8Cj0XbTy6I0QlzQW4B/gP4K8L8gA5cUXDs/sBzwCbgckIHkS8B2wnzBk4siPlR4GXg69Hf/q+EOV83UbDa9QCvy5IojnuB66K/+6uE5Y9WAP8UPe9lwIeia9kDHFBwns9F5/l1dNw/EErVDvxtkevxSBT3V6O/8f0F1/bUvOMnAc9EMf1XFONPgTXR37msyHuicNs5hPlwHyUsj/NX0d+eBX5WcOyy6LyrgauADxBW5O6O3guJEbwXLiW8p5ZH1/ZvouvuwL+X+X/4rdzjor/jhjIfvwp4aIB9DizJ+/3M6PX6I3nzAVfq/ROd65ToXH9dzt8xVm6xB6DbEC9Q+ADfXsbxk4Ed0QfJhLztEwiTu74MTCr32Gh7R/TP8pcFz5mIPhg3A9Pytk8EnmXPxPf5aNvfFJznb6Ptn83blvuwewBI5m3fN/pw/EnBOTz6sDuxYPv/RR8Ce+Vtu56wBMp+BccuiD5MPp237etAF3BUwbFzCIlySQmvTe6D61sF278abV9T8Dq8Mtr+xbxtx0bbvlDk/L+MYsn/4uDR7fQix+eu7al5274QbXtPwbFfi7YvK9jekb8NGAe8QGg3bC449sNFnm9ZtO1jBcf+U7T9rOG8FwjVkDuBHxf5u79OSF4HlfF/1U74n3DC/+TeZTw2ET3fLwbY35/4gHcDmei1bKv0+ydv337Rvm+W+neMpZuqOuvfBMKHWanOIPyTfsN3X39rO/BNYC/C0kblHpuzldCZJt9xhLWyfuh5a3u5+0uEHmSFLiB8y7+iYPt3CMnzgiKP+ba7Z/LO/Ryh1FhsIc0V7n5XwbbfEdafnAuh2pKw5t4NwM6o6nWamU0jfJivJuq0YWYGvIvwYf5cwbGdhBJIOR08vlbw+x+i+ysLXoeHCa99/t/4LsIH1tL8OKJYbgDGAycVnP8hd7+1xNjOJ5RiryzY/qUSH38GoVrwh8Ckgvhuio4pvFZ9hA4X+X4X3Rd7fUt5L7yV0C73/SLX6VeEZp7TSvybICSj3Guz0t1fKOOxU6Pn2zrYQWb2cWAp8APgLe7eNcChXyv4vZz3T05uOaJiq52PeeoCX/+2Ez7MSnVAdP9okX259cQOHMaxOU+5e7ZgW+6Yx4qc588DxLjS3XvzN7p7r5k9TijVFCrWa3ELocRV6rEQPoQgtJs2Edpv3lfk+PzzTI8edyYhYRfTN8D2wc6b82J0/0yRY19kV8wQ2paM4tc6Z2bB70+UEduBwL2Fr7GHRUK3lfD4w6L7HwxyTGF8z7v7zoJtha9XvlLeC7k4Bkv4hXEM5lPA0YRq9DPN7CJ3v6bEx3p0X2wV8Zw3E/7Pv+vuQ7VBjuT9k5OLxYvsG/OU+OrfI8BrzOxAL63L+mD/XCM5NqfY4qyD/RMN5zmKKUy2g51/oGPzj8/dX0X4ll1MV8Gxt1J6yWdARb445JTyNxrhOr9+kOMLv8gUXVB3EAN9GJbyWuaO+SdCkiimcOXsUl6vUo4vvE4AlxDWfyumpCEgZnYsod36ZkJtxIPAf5nZ773ISudFbCF8MZoyyDH3EGoj3mpmV7j7yoEOHOH7JycXy0Bf5MY0Jb7697/Aawi9O0sZY/ZUdH8EYVHHfIdH908P49hSnvOwIvuKbXsamG9mzfmlvqjH3yElPudIrSZ8wCdLqAbcBGwjtJ+UWmVYLU8CZwNr3H1VFc7/NHCImSXyP2DNbBahzbaU+AA6Y75WuTg2jyQOM2slfDFKE9q202b2XkKns/8mlNQG5e59ZraK4lWOOesIq4//DrjVzM4uUl1fSQdH94WryjcEtfHVv+8RVoX/6CBd248zs7+Jfr2F0O709xbGIOWOGQ/8PaEzyy3DOHYw9xH+cd8TtaHkzjOBsAJ0oV8Sqg//smD7+6Pt15XwnCPi7lsIbU5vNrMTC/dbMD06tg+4Gjih2JCB6PhatZX8KLr/gpklqhDH9YQqwEsKtn+8xMf/ltBh6DIz26OEY2Zt+e+1KrqW0OHlMxbGwhbGMTFKakP5DHAk8GGPZsZx9zsJbZIXmNlFJcazDDgs+p8oKmqrPIVQIr7ZzE4u8dzDkXvP317F56hbKvHVuegb5hsJvRJ/aWY3E5LRFkKSeC1wFqELOO6+zcI0Vt8C7rZdcwAuJnzL+6uo00lZxw4RY9bMPkz4sLnHzL5L6BX53ijO/Qse8mXCuKZvRdVIDwDHENraHs/9LTXwAeBO4A4zuzKKo4nQznUeoYPHp6NjPwmcDFxrZtcSOrRkCO1K5xCS/+JqB+zu95rZvxI+kB80s58RPihnEToZnQMkR/AUXwbeCXzXzI4jVJueSugws3mQx+Xi6zSzSwhfbh43sx8QSteTgEMJJaQLCImgatx9nZl9gPDFcZWZ/YjQw3g68ApCJ57DCR2Zioq+EH0UuMndC9ssPwG8gdKrPH9G6LV8NuH/ZKC4X7AwrvJW4Ldm9gZ3r0ZyegPwJ3cfrK147Iq7W6lupd2AFKE7+J2EBuseQu+7/yN0gU4UHH8BYfxSZ3RbDpw/wLlLOpYiY7YK9r+Z0P7RDawFPkvo5bfbcIbo2OnAtwklxZ7o/lvkDYeIjltMQRf4vH3LCDOJ5G/bbUzUUOcBphHGZj1B6P6+jTBTx9eBw4u8Bv8c7e8iDPdYRRiD+KoSXsMl4V9uj+2nFrtGg11zwgfXbwk9BXPX+9fAB0q5HkNck/2BnxM6Vr1M6AV5ULFYBonvSEL76XOELwgbovfVP7P72LQ9XsNo+9wotk8P970QbT+ZUIOwMYrjecKYx38Exg3yWo0jdCB6EdhngGP+gkGGKRQ5/lHClGWF2/d4jQgdUh4g/D+eVsn3T3Rt+ygY89lIN01ZJiJSA1G16FWEqc8ejzGO/yTUuBzi7uV2fBoTlPhERGrEzFYAz7j7O2N6/r0JHZg+4O4D9WYe85T4RESkoahXp4iINBQlPhERaShKfCIi0lCU+EREpKEo8YmISENR4hMRkYaixCciIg3l/wPmvhS1lqGUzAAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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cJ7btUkmDSANLpTO0tRhLNStDSZT4GlQyEccd1qqkQaRhpdIZli9SKUOpdLQaVK6Xlzq4iDSu1GBWPTpnQYmvQeV6eamDi0hjypUyaDqi0inxNagFsQ7md7drXj6RBrVp5zCZkXF1bJkFJb4GluyJM6CmTpGGlHtva9SW0inxNbBkIqbRW0Qa1O5SBiW+UinxNbC+RJwntu5ieEwlDSKNJpXO0NpiLF2oUoZSKfE1sP6eGBMOazfvijoUESmzVDrL8oXdtKuUoWQ6Yg2sT7M0iDSs1GBGQ5XNkhJfA9MsDSKNKShlyKpH5ywp8TWwhbF25nW1qWenSINJZ0bYOTymHp2zpMTXwMyMZE9cZ3wiDUY9OveNEl+DSyaU+EQaTUo1fPtEia/BJRMx1m3ZxcjYRNShiEiZDORKGTQrw6wo8TW4vkQ8KGnYout8Io1izWCGpQu66WjTR/hs6Kg1uKQGqxZpOAPprJo594ESX4PLdXdeo9nYRRqCu5MazKiUYR8o8TW4RfEO5na26YxPpEFszoywY3hMxev7QImvwe0uadAZn0gjyL2X+3t0xjdbSnxNoC8R07BlIg0i917WGd/sRZr4zGyBmV1jZveb2X1mdoKZLTKzG83sofB+YZQxNoL+njiPb8mqpEGkAQykM7QYLF+oM77ZivqM7wvAL9z9cOBo4D7gIuAmdz8EuCn8XfZBrqRh3VbN0iBS71LpLEsXqpRhX0R25MxsHvA84AoAdx9x963AacDKcLOVwOlRxNdIcr2/1NwpUv9S6YyGKttHUX5lOAjYBHzDzO4ws6+bWRxY7O7rAcL7/Qo92MwuMLPVZrZ606ZN1Yu6DuXqfTR0mUh9c3fWDCrx7asoE18bcBzwZXc/FshQQrOmu1/u7ivcfUVvb2+lYmwIiXgHczo1S4NIvduaHWXH0Bh9quHbJ1EmvseBx9391vD3awgS4UYzWwIQ3j8ZUXwNw8zoS8RYo6ZOkbq2Jq1ZGcqhqMRnZnPM7BEze3e5ntjdNwBrzeywcNEpwF+A64FzwmXnANeV6zmbWbInriJ2kTqXew9ruLJ901bMRu6+08wSwM4yP/87ge+YWQfwKHAeQTK+2szOBx4DXl3m52xKyUSMX9yzgdHxCdpb1RtMpB6tGcwGpQyLNCvDvigq8YX+AKwAvl6uJ3f3O8N95julXM8hgWQizviEs27LLn1bFKlTA+kMByzoprOtNepQ6lopX/0vAs4ys/PMzCoVkFSGenaK1L9UOqvre2VQyhnfJcAWgjO+z5jZI0B+N0F3d52t1aC+qbV8h+1lYxGpSanBDK945pKow6h7pSS+gwAnuO4GsLj84Uil9M7pJN7RqsGqRerU1uwI23aN0q9LFfus6MTn7skKxiEVFpQ0qGenSL3KfWnV4NT7bsZrfGb2czM7ecrvZmaHmllXpQOT8kv2xHTGJ1KnckMOagLafbe3zi0vBQ6Y8vsigoGkT6xYRFIxyUSctZuzjI1rlgaRepNKZzCD5YuU+PbVbAq61KOzTiUTccYmXLM0iNSh1GCGA+Z309WuUoZ9pUrmJrK7pEHNnSL1JpXOktSs62WhxNdEctcG1MFFpP4MpDPq2FImxSQ+L3KZ1LjeuZ3EOlo1WLVIndmWHWVLdlQdW8qkmHKGK8zsq3nL/tvMxgts6+4+vwxxSQXsLmlQU6dIPUlpVoay2lvi+y06u2soyUSMBzbuiDoMESlBSrMylNWMic/dT65SHFIlfYk4v7pvI2PjE7RplgaRupAaDFppDlQpQ1nok6/J9PfEGB131m8bijoUESnSQDrDAfO7VMpQJkp8TSbXK0wdXETqxxr16CwrJb4mkxvgViUNIvVjIJ3V9b0yUuJrMvvN7aSrvUVF7CJ1YtuuUTZnRlTKUEZKfE3GzEgm4pMD3opIbcu1zqips3yU+JpQMhHXTOwidSLXOqN5+MpHia8J9fXEWLt5F+MTKtEUqXUDYeuMShnKp6TEZ2atZna2mX3bzG40s2PD5QvD5UsrE6aUUzIRZ2R8gic0S4NIzVuTzrD/vC66O1TKUC5FJz4ziwG/Aa4CTgNeCCwMV28HLgYuLHN8UgG5YY80dJlI7RvQrAxlV8oZ30eBFcAZwEFMmZfP3ceBHwMvKWdwUhm5N9EaXecTqXmpwYzG6CyzUhLfq4HL3f06oNAU3g8DyXIEJZW1eG4XXe0tk9cORKQ2bR8aJZ0ZUQ1fmZWS+A4A7pphfRaYu2/hSDW0tBh9i+Kq5ROpcY+F71HV8JVXKYkvDczUeeVI4Il9C0eqpS8RU0mDSI3LDS2oGr7yKiXx3QScF3Zy2YOZ9QNvBH5RrsCksvp74jyWzqqkQaSG7S5e1xlfOZWS+D5G0IvzTwS9Nx14qZl9CrgdGAY+VfYIpSL6wpKGDds1S4NIrUqlsyye10mso5g5w6VYRSc+d38YOAUYA/6NoFfnPwPvB9YCp7j72koEKeWXu2agoctEaldqULMyVEJJXyPc/TbgaDM7Cng6QfJ7yN3vqERwUjm5XmKpdIaTntYTcTQiUkgqneWUw/eLOoyGM6vzZ3e/B7inzLFIFe0/r4vOthad8YnUqB1DowzuHKZPxetlp7E6m1RLi4U9O1XSIFKLciMr9aups+ymPeMzswmCDiylcHfXVdg60ZeIa0JakRqVS3y6xld+MyWpb/LUxHc8cBTwAHAfwTW+w4HDCJo+b6tAjFIhyUSM3z64iYkJp6XF9v4AEamalEoZKmbaxOfu50793cxOBc4ETnf36/PWnQ58C/in8ocolZLsiTM8FpQ0HLCgO+pwRGSK1GCG/eZ2Eu9UI1q5lXKN7+PAV/OTHoC7/wS4HPhEmeKSKsgNfKsRXERqz0A6q8GpK6SUxPdM4JEZ1j9M0AwqdaJvspZPHVxEas2adEbNnBVSSuLbArx4hvUvBbbtWzhSTQfM76ajrUUdXERqTGZ4jE07hjUrQ4WUkvi+C5xmZleY2dPD2dhbw5+vBF4BfKcyYUoltLQYBy6KTQ6EKyK1IXf5QU2dlVHKVdMPAU8DzgPOZfecfC0EvTt/Gm5TNDNLATuAcWDM3VeY2SLgBwRz+6WAs9x9Syn7leIlE3HNxC5SY3LvSc28XhmljNU57O5nEDRpfgX4FcGMDV8BXurup7n78CxieIG7H+PuK8LfLwJucvdDwv1fNIt9SpGSiRgDmzNMaJYGkZqxu5RBZ3yVUHI/WXe/AbihArHknAacHP68ElhFMBC2VEBfT5yh0Qk27hhiyXyVNIjUgtRghp45ncxRKUNFRD1kmQM3mNltZnZBuGyxu68HCO8LjtBqZheY2WozW71p06Yqhdt4csMhqWenSO1IpbP0q5mzYor+OhF2YNkbd/fzS3j+k9z9CTPbD7jRzO4v9oHufjlB7SArVqxQO90s5bpLD6QznHBwIuJoRASC9+NfH9IbdRgNq5Tz6HOL2MaBohOfuz8R3j9pZtcCzwY2mtkSd19vZkuAJ0uIUUp0wIJuOlpbWKOSBpGakB0ZY+P24ck5M6X8Sunc0pJ/A9oJxun8GvAHghnai2JmcTObm/uZoEbwHuB64Jxws3OA64rdp5SutcVYvqibATV1itSE3T061bGlUvbpGp+7j7v7Q+7+FiANfLqEhy8GfmdmdwF/BH7m7r8ALgZONbOHgFPD36WCkom4hi0TqRG5OTJVw1c55ewy9D/AR4ELi9nY3R8Fji6wPA2cUsa4ZC+SPXFufmQQd8dMszSIRCk1OR2RmjorpZy9OhPAnDLuT6okmYgxNDrBkztmU4YpIuU0kM7QM6eDuV3tUYfSsPY58ZnZAjM7E/hHNB9fXcoVyWroMpHorRnMqHC9wopOfGY2YWbj+TeCa3tXEwxh9p5KBSqV0x9eRNdg1SLR03RElVfKNb5CM7I7sBl4EPieu+8oV2BSPUvmd9HeapPXFkQkGrtGxtmwfUilDBVWdOLLn5FdGkdbawvLF8Yme5OJSDQGNodjdKqUoaKiHrJMakSyJ64zPpGI5YYO7FdTZ0WVlPjMrMXMzjOz683snvB2vZmda2ZKonWsLxFjIJ3BXaO/iURlclYGjdNZUaV0bukmmCbo68DLgPnh7WXAFcCvzKyrEkFK5fX3xMmOjLNJJQ0ikRlIZ0jEO5inUoaKKuUs7UPA84HPAb3uvtzdlwM9wGcJphL6YNkjlKrIdZ9Wc6dIdFKDWRWuV0Epie81wNXu/r6pM6K7+1Z3fz9BScPryh2gVEeuF5k6uIhEJ5XOqJShCkpJfMsIJoWdzm/CbaQOLV3QTVuLacxOkYgMjY6zftuQBqeuglIS31bgkBnWPy3cRupQW2sLyxfFJkeGF5HqemyzxuisllIS343A28zsJfkrzOzFBINT/7JcgUn19SViGrZMJCJrNCtD1ZQycsuHgJcAPzezO4B7w+VHAscCg8CHyxueVFMyEedPazZrlgaRCOSGDFTiq7xSJqIdAFYA3wcOBf4+vB0CfA94VriN1KlkIkZmZJxNO1XSIFJtawazLIy1Mz+mUoZKK+qMz8xagaXATnd/vQWnA72AAU+6qp4bQnJysOos+81VSaZINQ2kM+rYUiXFnvG1A48C5wN44El336ik1zhyTSwqaRCpPs3KUD1FJT53HyK4hqdPxAa2dGE3rSppEKm6odFxnti2Sz06q6SUXp0/B15RqUAkeu2tLSxf2K3RW0SqbO3mLO6758aUyiol8b0PWGJmK83sGRqXszH1JeKakFakynJfNjXzenWUUs7wJMHEs0cDbwAKdXl3dy9ln1JjkokYtw1sUUmDSBWlJmv41NRZDfs6A7s0mGRPnJ3DY6QzI/TM6Yw6HJGmkEpnWBBrZ0GsI+pQmoJmYJc9TO3ZqcQnUh2pdEbNnFU04zU+M8ua2Wum/N5pZheY2ZLKhyZRyNURqYOLSPWkBrP0q5mzavbWuaULaJ3y+xzgy8DTKxaRRGrpgqCkQR1cRKpjeCxXyqAzvmoppVdnjno8NLCOthaWLujWYNUiVZIrZUj26IyvWmaT+KTBJXvimp5IpEpSg8F7TaO2VI8SnzxFMhEjlc6g0ehEKi+lWRmqrphenUkzOy78eX54f4iZbS20sbvfXo7AJDp9iTg7hsbYnBkhoZ6dIhWVSmeY19XGAs3KUDXFJL6Ph7epLpth+9YZ1kkd6A+vNaTSWSU+kQobSGfp74lrwIgq2lvi+1hVopCa0jellu/4voURRyPS2NYMZjjuQL3PqmnGxOfuSnxNaPnCGC2GShpEKmx4bJwntu7iVcctizqUpqLOLfIUHW0tLNUsDSIV9/iWXUy4xuisNiU+KSiZiGtePpEKyw1OreL16lLik4KSiThrBlXSIFJJuVYVzcNXXUp8UlBfIsaOoTG2ZkejDkWkYQ2kM8ztamOhShmqSolPCsoV065Rc6dIxawZzJBMqJSh2pT4pKDcLA3q2SlSOQPp7OR7Taon8sRnZq1mdoeZ/Xf4+yIzu9HMHgrvVeASgeWLumkxWDOonp0ilTAyNsHjW7Lq0RmBkhKfmS03syvN7HEzGzGzF4bLe8Plz5pFDO8C7pvy+0XATe5+CHBT+LtUWWdbKwcs6NYZn0iFPL4lG5Yy6Iyv2opOfGbWD6wG/ha4lylDk7n7JmAF8KZSntzMlgEvB74+ZfFpwMrw55XA6aXsU8onKGnQGZ9IJeRmQNF0RNVXyhnfvwMTwFHA63nqvHw/B/6qxOf/PPC+cL85i919PUB4v1+J+5Qy6UvEJuuMRKS81qiGLzKlJL4XAZe5+1qgUHHXAFD0uDtm9grgSXe/rYQYpj7+AjNbbWarN23aNJtdyF7098TZtmuUrdmRqEMRaTgD6QxzO9tIxDuiDqXplJL45gHrZ1jfQXGzPeScBLzSzFLA94EXmtm3gY1mtgQgvH+y0IPd/XJ3X+HuK3p7e0t4WinW5GDVau4UKbtUOktfT0ylDBEoJfGtBY6cYf1zgYeL3Zm7/4u7L3P3JPBa4Nfu/gbgeuCccLNzgOtKiFHKKNfbTM2dIuWXSmfUzBmRUhLfj4E3mtlRU5Y5gJn9LfBq4OoyxHQxcKqZPQScGv4uEVi+KIYZGrNTpMxGxyd4fMsu+pX4IlFK0+S/A68AbgV+S5D0LjKzTwLPBu4EPjebINx9FbAq/DkNnDKb/Uh5dbW3csD87sneZyJSHuu27GJ8wulTDV8kij7jc/ftwAkEpQcrCHp1ngocRjAj+wvcfagSQUp0kj2xyd5nIlIeuaEANTh1NEoqYHf37e7+LnfvBRYD+wMJd39nmBilwfQl4ipiFymzAZUyRGrWQ5a5+yZ3f9I1b01DSyZibMmOsk2zNIiUTSqdJd7RSs8clTJEYdprfGb2vNns0N1/O/twpNYkJ0saMhwdWxBtMCINIpXOkOzRrAxRmalzyyoKF6rvTeveN5F6kRs5PpXOcPTyBdEGI9IgBtJZjlgyL+owmtZMie+8vN8NeCdwKPAd4C/hsiOA1wEPAl+qQIwSoQMX5Wr51LNTpBzGxidYuznL3xy1f9ShNK1pE5+7r5z6u5n9A9ALHObuT+St+zhwCzC3EkFKdIKShi51cBEpk3VbdzE24ZqHL0KldG55J/DV/KQH4O6PA18Nt5EG05eIq4hdpExyQwBqOqLolJL4lgMztXdlwm2kwSR7YhqvU6RMckMAagLa6JSS+NYAbzCzrvwV4bKzgVSZ4pIakkzE2ZwZYdsulTSI7KtUOkOso5XeuZ1Rh9K0Skl8nwOOBf5kZm81sxeY2clmdiHBBLXPBC6pRJASrVyRra7ziey71GAwOLVKGaJT9Fid7v51M5sDfIJgiLJcqYMBu4D3uvvXyh+iRK2/Z/f0RM9ctiDaYETq3EA6y+FL1A8wSqUMUo27f97MvgG8GDiIIOk9Atzo7lvLH57UglxJw4DG7BTZJ2PjE6zdkuUlKmWIVEmJD8DdtwE/rEAsUqO6O1rZf17X5MC6IjI7T2wdYnTc1bElYrMeq1OaS7InpumJRPZRrixIpQzRUuKToiQ1S4PIPsu9h1S8Hi0lPilKXyLO4M4RdgyppEFkttYMZulub2U/lTJESolPitLfE3ZwUXOnyKwNpDP0JWIqZYiYEp8UJVfLp9nYRWZvTTqj63s1QIlPitKXyJ3xKfGJzMb4hLN2c1bX92pASYnPzFrN7Gwz+7aZ3Whmx4bLF4bLl1YmTIlarKONxfM6NWanyCw9sXWXShlqRNF1fGYWA24ATiQYkDoGLAxXbwcuBq4EPlTmGKVG9CXikwPsikhpcqUMfWrqjFwpZ3wfBVYAZ7B71BYA3H0c+DHwknIGJ7WlPxHXGZ/ILOXeO/1q6oxcKYnv1cDl7n4dMFFg/cNAshxBSW3q64kxuHOYncNjUYciUncGBjN0tbeolKEGlJL4DgDummF9Fs3A3tByvdHU3ClSulQ6Q9+iOC0tKmWIWimJLw3M1HnlSOAps7NL40hOTk+k5k6RUqXSWZI96thSC0pJfDcB54WdXPZgZv3AG4FflCswqT25koaUShpESjI+4TyWzqqGr0aUkvg+RtCL80/AhQTz8b3UzD4F3A4MA58qe4RSM+Kdbew3t1NNnSIlWr9tFyPjE6rhqxFFJz53fxg4BRgD/o2gV+c/A+8H1gKnuPvaSgQptSMYrFpNnSKlyL1n+lTDVxNKnYj2NuBoMzsKeDpB8nvI3e+oRHBSe/oSMVY9uCnqMETqSm6oPzV11oaizvjMbI6ZPWJm7wZw93vc/YfufrWSXnNJ9sTZtGOYjEoaRIo2kM7Q2dbC/vO6og5FKDLxuftOIAHsrGw4UuvUs1OkdKl0lr5ETKUMNaKUzi1/IBi5RZqYenaKlC41mNFQZTWklMR3EXCWmZ1nmkyqaeV6pSnxiRRnYsIZ2JzVUGU1pJTOLZcAW4CvA58xs0cIRmuZyt39lHIFJ7VnTmcbPXNU0iBSrPXbhxgZm1CPzhpSSuI7iKB277Hw98XlD0fqQX9PTINVixRpIPyS2K+mzppRdOJz92QF45A60peI838PqaRBpBi5L4l9auqsGZqBXUqWTMTYuH2Y7IhKGkT2JpXO0NHWwhKVMtSMkgrYAcysEziZoOkT4FHgN+4+VMa4pIblOrgMpLM8fcm8iKMRqW2pwQx9i1TKUEtKSnxmdjZBJ5eF7J6I1oGtZvZP7n5VCfvqAn4LdIZxXOPuHzGzRcAPCOb2SwFnufuWUuKUytpdy5dR4hPZi4F0VqUMNabopk4zew1wFUER+weB0wlmY/9QuOyKcJtiDQMvdPejgWMIBrx+LkHZxE3ufgjBjBAXlbBPqYJc77Q1g+rgIjKTiQknlc6QVI/OmlLKGd8HgPuB57r79inLrzOzy4BbCRLiD4rZmbs7u0eCaQ9vDpxG0JQKsBJYRTAQttSIuV3t9MzpYEC1fCIz2rhjiOExzcpQa0rp3HIY8I28pAeAu28DvgEcUsqTm1mrmd0JPAnc6O63AovdfX243/XAftM89gIzW21mqzdtUg/DautLxCcH3hWRwjQ4dW0qJfFtYPd1vUImgI2lPLm7j7v7McAy4NnhrA/FPvZyd1/h7it6e3tLeVopA01PJLJ3ufeIZl6vLaUkvquAc81sTv4KM5tHMAP7N2YThLtvJWjSfCmw0cyWhPtdQnA2KDUmmYixYfsQu0bGow5FpGal0hk6WltYMr876lBkimkTn5k9b+qNoAdmFvizmb3XzP6fmb3CzN4H3EVwve7/in1iM+s1swXhz93AiwiuIV4PnBNudg5w3Sz+LqmwXDHuwGY1d4pMJzWYYfmiblpVylBTZurcsoqgs8lUuVfv01PW5Zb1ATcCrUU+9xJgpZm1EiTgq939v83sFuBqMzufYHi0Vxe5P6mi3PBLqcEsh++vkgaRQgbSGpy6Fs2U+M6r5BO7+93AsQWWpwENdF3jDgy7Z6tnp0hh7kEpw0lP64k6FMkzbeJz95XVDETqy/zudhbFOzQ9kcg0Nm4fZmh0QjV8NUhjdcqsJRMxUipiFyko96VQNXy1ZzZjdZ5KUK+X4KnlDe7uHy9HYFL7kok4tzyajjoMkZqUUg1fzSo68ZnZ4cC1wKFMX8/ngBJfk0j2xPnxHesYGh2nq73YPk0izSGVztLeahywQKUMtaaUM76vAsuBdxOULWjg6CaXG7Pzsc1ZDl08N+JoRGrLQDrD8kUxlTLUoFIS37OBi939vyoVjNSXXBPOmsGMEp9InjWDGTVz1qhSOrekgcFKBSL1Z+r0RCKym7szkM4q8dWoUhLf9wmmIhIBYH6snYWxdlIas1NkD5t2DLNrdFxjdNaoUpo6PwhcY2bXAl8kmCT2KQM1uvtj5QlN6kFfIj7Ze01EArlZGTQBbW0qJfGNAvcC7wVeOcN26t7XRPp74vxxzeaowxCpKblZGfqV+GpSKYnv08B7gDuA36FenULQs/Mnd6qkQWSqNekMbS3GAQu6og5FCigl8Z0NXOvuZ1YqGKk//T1x3GHt5iyHqGenCBB0+DpwUYy2Vg2OVYtKeVViwA2VCkTqU+4ahjq4iOyWGsxO1rlK7Skl8f0BOLJSgUh9yg3Aqw4uIoHcrAzq2FK7Skl8/wS8xsxeValgpP4siHWwINauWRpEQpt2DpMdGdc8fDWslGt8nwd2AD80s3XAGp5azuDurrn0mkxfIj7Zi02k2eXeC2rqrF2lJL6DCAahztXpHVj+cKQeJRMxVqfUyVcEdtfwadSW2lV04nP3ZAXjkDqWTMS5/q4nGB4bp7NNJQ3S3AbCUoZlCzUrQ61SX1vZZ8me2GRJg0izSw1mWbawW6UMNWw2E9HOA15E0PQJ8Chwo7vvKGdgUj9yTTqpwSxP20+1fNLcUumMZl2vcSUlPjN7E/A5YA67J6N1YKeZvcfdryhzfFIHJhOfenZKk8vNyvCs5KKoQ5EZlDID+yuBywnO8D4M3BOuOhJ4J3C5mT3p7j8te5RS0xbE2pnX1abEJ01vcOcIO4fH1KOzxpVyxvc+4D7gOe6+c8rym8zsGwQF7u8HlPiajJnR36OSBpHc3JRq6qxtpVx9PRq4Ki/pARBe31sZbiNNqC8R1xmfNL3c0H0qZahtpXY7shnW+b4EIvUtmYixbssuRsYmog5FJDKpwQytKmWoeaUkvruAc8zsKV9lzGwOcG64jTShZE+cCYe1W9TcKc0rlc6wbGE37SplqGmlXOP7LPBj4HYz+yLwl3B5rnPL0wCN49mkJmdpGMxwcO+ciKMRiYYGp64PpYzc8hMzewfBhLT/xe6mTQMywDvc/bryhyj1IDcgr6Ynkmbl7gwMZjn+wIVRhyJ7UVIdn7tfZmbfBU4F+gmS3iMEBezbKhCf1ImFsXbmdrVN9moTaTabMyPsGB7TGV8dKHnkFnffCvyw/KFIPTMzkon45AC9Is0mNVnKoBq+WqcrsFI2SdXySRNLDaqUoV7MeMZnZteXuD9399P2IR6pY8lEjJ/d/QQjYxN0tOk7lTSXgXSGFoNlC3XGV+v21tT5ihL3p1q+JtaXCEoaHt+S5SD17JQmsyadZenCbn3pqwMzvkLu3rK3G/BC4E/hQ9ZXPGKpWf3htQ01d0ozGkhn1MxZJ2b91cTMjjKznwE3AYcB/wocUq7ApP7kerOpg4s0G3dnzaASX72YzXx8y4GPA68HxoEvAp9w93SZY5M6k4h3MLdTJQ3SfLZkR9kxNKbBqetEKdMSLQQ+CLwN6AS+B3zI3VOVCU3qjZnR1xNTEbs0nclSBk1HVBf2mvjMrBN4N8GUQwuAG4H3u/udlQxM6lNfIs496zSWgTSXVNi8r+L1+jDjNT4zeyPwMPBJghFaXuTuL1HSk+n0J+I8vmUXo+OapUGaRyqdpcVg+SLNylAP9nbG93WCEoXVwNXAMWZ2zAzbu7v/ZzFPHF4r/CawPzABXO7uXzCzRcAPgCSQAs5y9y3F7FOi15eIMT7hrNuyS9c7pGkMpDMcsKCbzrbWqEORIhRzjc+AZ4W3vXGgqMQHjAH/5O63m9lc4DYzu5FgeqOb3P1iM7sIuIigmVXqQC7ZrUlnlPikaaTUo7Ou7C3xvaBST+zu6wnr/tx9h5ndBywFTgNODjdbCaxCia9u5N78A4OZoMhFpAmk0ln+39FLog5DijRj4nP331QjCDNLAscCtwKLw6SIu683s/2mecwFwAUABx54YDXClCL0zOkg3tGqnp3SNLZmR9i2a1RnfHUk8rF1wtnbfwS82923F/s4d7/c3Ve4+4re3t7KBSglMTOSPfHJ7t0ijS43YIMSX/2INPGZWTtB0vuOu/84XLzRzJaE65cAT0YVn8xOMqFZGqR55P7XNR1R/Ygs8ZmZAVcA97n7JVNWXQ+cE/58DqBZ3etMXyLG2s1ZxlTSIE1gzWAG06wMdSXKM76TgL8HXmhmd4a3lwEXA6ea2UMEM71fHGGMMgvJnjhjE866rbuiDkWk4gbSGQ6Y301Xu0oZ6kXJY3WWi7v/jqBUopBTqhmLlFfuWkcqndVIFtLwUumsmjnrTOSdW6Tx5MYrTGmWBmkCqXRGX/DqjBKflF3v3E5iHa3q2SkNb2t2hK3ZUfqV+OqKEp+UnZnRp56d0gRy/+N9mpWhrijxSUX098TU1CkNL9eq0a/h+eqKEp9URF8iztotKmmQxpYazGIGyxfpjK+eKPFJRSQTMUbHnSe2DkUdikjFpNIZlszrUilDnVHik4rYXdKg5k5pXCnNQlKXlPikInIfBgNKfNLABlSrWpeU+KQi9pvbSXd7K2sG1bNTGtO2XaNszoxM1q1K/VDik4oIShpiOuOThpX731ZTZ/1R4pOKSSY0PZE0rtyck5qOqP4o8UnFJHvirN28i/EJjzoUkbLL1amqeL3+KPFJxSQTMUbGJ3hCszRIA0qlMyyZr1KGeqTEJxXTp5IGaWCpwYzO9uqUEp9UTG4Yp5TG7JQGNJDOaqiyOqXEJxWz39xOutpbGNCYndJgtg+Nks6MqIavTinxScW0tBh9i9SzUxrPwGCuR6eaOuuREp9UVLInpqZOaTgp1fDVNSU+qahkIs5j6axKGqSh5IrX+xYp8dUjJT6pqGRPnJHxCdZvU0mDNI41g1n2n9dFd4dKGeqREp9UVK67t2Zjl0YykFYpQz1T4pOKyg3ntEY9O6WBpNIZDVVWx5T4pKL2n9dFZ1uLBquWhrFjaJTBnSPq2FLHlPikolpaglka1LNTGsVAWqUM9U6JTyquLxGfHNBXpN7lShlUvF6/lPik4vp74gxszjKhkgZpAJNnfD0646tXSnxScX2JGCNjE2zYPhR1KCL7LDWYYb+5ncQ62qIORWZJiU8qrj83S4OaO6UBpNIZdWypc0p8UnF9mqVBGkgqnVXHljqnxCcVt2ReFx1tLRqsWurezuExNu0YVseWOqfEJxUXzNIQU1On1L1cParm4atvSnxSFX2JuIYtk7qX+x/WcGX1TYlPqiKZiJFKZ1TSIHUtN/SemjrrmxKfVEWyJ86wShqkzg2kM/TO7WROp0oZ6pkSn1TFUUvnA/D+H93Ntl2jEUcjUrqf3b2e6+58gqMOmBd1KLKPlPikKo5ZvoDPnPlM/vBomldddrMGrZa64e78100P8fbv3s5RS+fz2VcfHXVIso+U+KRqzlqxnG+d/xzSmRFOv/Rmbn00HXVIIjMaHhvnPVffxedufJAzjl3Kd970HBJzOqMOS/aREp9U1XMPSvCTt53EwngHb7jiVq657fGoQxIpKL1zmNd/7VauvWMd/3TqoVxy1tF0tWvG9UYQWeIzsyvN7Ekzu2fKskVmdqOZPRTeL4wqPqmcZE+cay88iWf3L+Kff3gXn/nF/ertKTXloY07OP2ym/nzum1c+nfH8c5TDsHMog5LyiTKM76rgJfmLbsIuMndDwFuCn+XBjQ/1s5V5z2b1z37QC5b9Qhv+87t7BoZjzosEX7z4CZeddnv2TUywQ/ecgIvf+aSqEOSMoss8bn7b4HNeYtPA1aGP68ETq9mTFJd7a0tfPKMo/jQy5/OL/+ygbO+egsbVe4gEfrmLSneeNWfWLqwm+vecRLHLF8QdUhSAbV2jW+xu68HCO/3m25DM7vAzFab2epNmzZVLUApLzPjTX99EF/7+xU8umknp33pZu5Zty3qsKTJjI1P8JHr7uHD193LCw7r5ZoLT2Tpgu6ow5IKqbXEVzR3v9zdV7j7it7e3qjDkX30oiMWc82FJ9Ji8Oqv3MIv790QdUjSJLYPjXL+ytWsvGWAN/91P1/9+xUqUG9wtZb4NprZEoDw/smI45EqevqSefzkHSdx6P5zeeu3b+Orv3kEd3V6kcpZuznLmV/+PTc/PMinXvUMPvjyI2htUSeWRldrie964Jzw53OA6yKMRSKw39wufnDBc3nZM5bwqf+5n/f/6G5GxiaiDksa0G0Dmzn90pvZsG2Ib74x6GglzSGy83kz+x5wMtBjZo8DHwEuBq42s/OBx4BXRxWfRKervZX/eu2xHNwT54u/fpiBdJavvOF4FsY7og5NGsRP7ljH+665mwMWdHHFuc/i4N45UYckVWSN0JS0YsUKX716ddRhSAXoA0rKaWLC+fyvHuSLv36Y5/Qv0heqBmdmt7n7ivzltdbUKbKH049dyvcueA47hsY449Kb+f3Dg1GHJHVqaHScd37/Dr7464c5a8UyvnX+c5T0mpQSn9S84/sW8ZO3n8TieV2cfeUf+f4fH4s6JKkzT+4Y4jWX/4Gf/3k9//I3h/Ppv30mHW36+GtWeuWlLixfFONHbzuRk57Ww0U//jP//rO/MK5hzqQI963fzulfupkHN+zgK284nrc8/2ANP9bklPikbszraueKc1Zwzgl9fO3/1vCWb91GZngs6rCkhv36/o2c+eXfM+7OD996Ai85cv+oQ5IaoMQndaWttYWPnXYU/3bakfzvA09y5ldu4Ymtu6IOS2qMu/P1/3uUN61czUG9c7ju7X81ORmyiBKf1KWzT0hy5bnP4vHNWU679GbuXLs16pCkRoyOT/CBa+/hEz+7jxcfsT9Xv+UE9p/fFXVYUkOU+KRuPf/QXn70thPpbGvhNV+9hZ/dvT7qkCRi27KjnPuNP/K9Pz7G204+mMtefxzdHZpDT/akxCd17dDFc7nu7Sdx1NL5vP27t/OlXz+kYc6aVGowwxlfvpk/rtnMZ199NO976eG0aPgxKUCJT+peYk4n33nTczjj2KV89oYHec/VdzE8prn9msmtj6Y5/bKb2ZwZ4dvnP4czj18WdUhSwzQEuTSErvZWLjnraA7qifO5Gx9k7eYsX/3740nM6Yw6NKmwH65eyweu/TMHLopx5bnPoi8RjzokqXE645OGYWa885RDuPTvjuPP67Zx+mU389DGHVGHJRUyMeFc/D/3895r7uY5/Ql+/LaTlPSkKEp80nBe/swl/OAtJ7BrZIJXXfZ7fvOgJipuNNmRMS78zm185TeP8HfPOZBvnPcs5ne3Rx2W1AklPmlIxyxfwHXvOImlC7t541V/4lu3pKIOScpkw7YhzvrqLdz4l418+BVH8O+nH0V7qz7KpHj6b5GGtXRBN9dceCInH9rLv153Lx+9/l7GxjW3Xz27Z902Trv0d6zZlOHr56zgjX/Vr+HHpGRKfNLQ5nS2cfnZK3jzX/dz1e9TnL9yNduHRqMOS2bhF/ds4NVfuYW2lhauufBEXnj44qhDkjqlxCcNr7XF+ODLj+BTr3oGNz88yJlf/j1rN2ejDkuK5O58edUjvPXbt3HY/nP5ydtP4ulL5kUdltQxJT5pGq979oF8843PZsO2IU6/9GZuG9gcdUiyFyNjE7zvmrv59C/u5/8dfQDfv+C59M5ViYrsGyU+aSonPq2Ha99+EnO72njd127lujvXRR2STGNLZoQ3XHErP7ztcd51yiF88bXH0NWu4cdk3ynxSdM5uHcO177tJI5dvoB3ff9OLrnxQQ1zVmMe2bST0y8LBh//wmuP4R9PPVSdWKRslPikKS2Md/Ct85/DWSuW8cWbHuKd37uDoVENc1YLbn54kDMuvZnM8Bjfe/NzOe2YpVGHJA1GQ5ZJ0+poa+HTf/tMDu6dw8W/uJ/Ht+zi8rOPZ7+5msImKt+99TE+fN09HNw7h6+fs4Lli2JRhyQNSGd80tTMjLc8/2C+8objeWDDDk7/0s3ct3571GE1nfEJ5+P//Rc+cO2f+atDerjmwhOU9KRilPhEgJccuT8/fOsJjLtz5pd/z6/v3xh1SE1j5/AYF3xzNVf8bg3nnpjk62evYG6Xhh+TylHiEwkdtXQ+1739r+jvjfOmlcEHsTq9VNa6rbs488u/Z9WDm/j4aUfy0VceSZuGH5MKs0Z4Y69YscJXr14ddRjSILIjY7znB3fxi3s3cHBvnAMXxVi2MMbShd0sW9jN0gXdLFsYo2dOh3oaFmFodJx1W3exbssuHt+yi8e3ZFm3Nfj5wQ3B7BmXvv44nndob8SRSqMxs9vcfUX+cnVuEckT62jjstcfxzd+n+LWR9Os27qL2x/byrZdew511tnWEibDWJgMd9+WLoix39zOppgBPDM8NiWxZXk8TGq5RDe4c3iP7dtajCULuli2IMbLnrGENz+vn6ftNzei6KUZ6YxPpEg7hkaDM5XNu8Izlt1nLuu27CKdGdlj+47WFg5Y0BUkxwV5Z4yLYiye21kXzXrbh0Ynk9i6LdngPvd3b93F5gJ/99LJM+Pc3xt8GVi2sJvF87pobYIvBBI9nfGJ7KO5Xe0cvn87h+9feJzI7MhYkCD2OOMJkuOvH3iSTTv2PPNpbTGWzO+aPENctrB7MjkuWxBjyYKuik+34+5s2zUaNkE+NZk/viXL9qGxPR7T1d4y2dz7jGXz92j+Xbawm945zXGmK/VLiU+kTGIdbRyyeC6HLC7cbDc0Os4TU86UHt+SnTyT+v0jg2zYPsTUBpgWg8XzusLm093Nqbnm1QMWdNHZNvMQXu7O5szIZGJbtzW7RzPkuq272Dm8Z2KLd7ROXtNckVw4mdRySTkR17VNqW9KfCJV0tXeykG9cziod07B9SNjE2zYNhRcJ5s8cwyS4x/XbGbD9iHGJ/a8NLHf3M4wGQZnW3M6256SXIdG95yDcG5XG8sWxjgwEeOEgxNTrk0GyXVBrF2JTRqaEp9Ijehoa+HARJCQChkbn2DD9qG8M7YgSd79+FZ+cc96RsedhbF2li2M8bTeOZx8aO8eHXCWLuxmfrdq5KS5KfGJ1Im21pbwOlrhxDg+4YyMTdDdoRkMRGZS+13KRKQorS2mpCdSBCU+ERFpKkp8IiLSVJT4RESkqSjxiYhIU1HiExGRpqLEJyIiTaUmE5+ZvdTMHjCzh83soqjjERGRxlFzic/MWoFLgb8BjgBeZ2ZHRBuViIg0ippLfMCzgYfd/VF3HwG+D5wWcUwiItIganHIsqXA2im/Pw48J38jM7sAuCD8daeZPVCG5+4BBsuwn2pRvJVXbzHXW7xQfzEr3sorV8x9hRbWYuIrNCz8U2bLdffLgcvL+sRmqwtNWlirFG/l1VvM9RYv1F/MirfyKh1zLTZ1Pg4sn/L7MuCJiGIREZEGU4uJ70/AIWbWb2YdwGuB6yOOSUREGkTNNXW6+5iZvQP4JdAKXOnu91bp6cvadFoFirfy6i3meosX6i9mxVt5FY3Z3J9y+UxERKRh1WJTp4iISMUo8YmISFNpqsRnZq82s3vNbMLMVuSt+5dwiLQHzOwl0zx+kZndaGYPhfcLqxP55PP/wMzuDG8pM7tzmu1SZvbncLvV1YwxL46Pmtm6KTG/bJrtamaIOjP7DzO738zuNrNrzWzBNNtFeoz3dsws8MVw/d1mdly1Y5wSy3Iz+18zuy98/72rwDYnm9m2Kf8rH44i1ryYZnyNa+wYHzbl2N1pZtvN7N1520R+jM3sSjN70szumbKsqM/Vsn5OuHvT3ICnA4cBq4AVU5YfAdwFdAL9wCNAa4HHfwa4KPz5IuDTEf4tnwM+PM26FNBTA8f7o8A/72Wb1vB4HwR0hK/DERHG/GKgLfz509O9xlEe42KOGfAy4H8I6mKfC9wa4TFdAhwX/jwXeLBAvCcD/x1VjLN5jWvpGBf4/9gA9NXaMQaeBxwH3DNl2V4/V8v9OdFUZ3zufp+7Fxrh5TTg++4+7O5rgIcJhk4rtN3K8OeVwOkVCXQvzMyAs4DvRfH8ZVZTQ9S5+w3uPhb++geCOtJaU8wxOw34pgf+ACwwsyXVDhTA3de7++3hzzuA+whGaKp3NXOM85wCPOLuA1EHks/dfwtszltczOdqWT8nmirxzaDQMGmF3piL3X09BG9mYL8qxFbIXwMb3f2hadY7cIOZ3RYO7Rald4TNQFdO04RR7LGPwhsJvtEXEuUxLuaY1eRxNbMkcCxwa4HVJ5jZXWb2P2Z2ZHUjK2hvr3FNHmOC2ufpvhTX2jGG4j5Xy3qsa66Ob1+Z2a+A/Qus+qC7Xzfdwwosi6TOo8j4X8fMZ3snufsTZrYfcKOZ3R9+0yq7meIFvgx8nOBYfpygefaN+bso8NiKHvtijrGZfRAYA74zzW6qdowLKOaY1cz/dI6ZzQF+BLzb3bfnrb6doGluZ3gt+CfAIVUOMd/eXuNaPMYdwCuBfymwuhaPcbHKeqwbLvG5+4tm8bBih0nbaGZL3H192KTx5GxinMne4jezNuBVwPEz7OOJ8P5JM7uWoJmgIh/KxR5vM/sa8N8FVlV9iLoijvE5wCuAUzy8wFBgH1U7xgUUc8xqaug/M2snSHrfcfcf56+fmgjd/edmdpmZ9bh7ZIMrF/Ea19QxDv0NcLu7b8xfUYvHOFTM52pZj7WaOgPXA681s04z6yf4FvTHabY7J/z5HGC6M8hKehFwv7s/XmilmcXNbG7uZ4LOGvcU2rbS8q53nDFNHDU1RJ2ZvRR4P/BKd89Os03Ux7iYY3Y9cHbY8/C5wLZcc1K1hdekrwDuc/dLptlm/3A7zOzZBJ9N6epF+ZR4inmNa+YYTzFta1CtHeMpivlcLe/nRJQ9fKp9I/jwfRwYBjYCv5yy7oMEvYYeAP5myvKvE/YABRLATcBD4f2iCP6Gq4C35i07APh5+PNBBD2e7gLuJWi+i+p4fwv4M3B3+E+6JD/e8PeXEfT0eyTKeMNYHia4lnBnePtKLR7jQscMeGvuf4OgaejScP2fmdKLOYJY/4qgWeruKcf1ZXnxviM8lncRdCo6MeL/g4Kvca0e4zCeGEEimz9lWU0dY4KkvB4YDT+Lz5/uc7WSnxMaskxERJqKmjpFRKSpKPGJiEhTUeITEZGmosQnIiJNRYlPZAoze6GZfcTMamEEjqKEZTgfMLPXRx2LSD1Q4pOKCkeEdzM7N+pY9sbMnklQdjHu7uuijqcEXwPeTIkF9GZ2bvjanFzk9ikzW7W3ZVJYWO93i5l9J2+5m9lVVYphiZllw0EampYSX50ws5iZvdvM/s/MNpvZqJltNLOfhx9gDTcKTzWZWS9B0vuiu38i6niKZWbvA15IMMrM2r1tL8Uzs5eESWnlNOs/Hq5/c5G7fB3wLIJZSyLhQYH9V4B/N7NYVHFETYmvDpjZ04A7gP8EhoBPARcAlwDtwDeAT0YWYGNYAXzS3T8QdSDFCse+7ARe6O6PzmIX3wK62beh1g4jGNWk4bj7LwnOps82s1dOXWdmzyKYQueX7v61Inf5YeCnPv3g8tXyRYLi8PMijiMyKmCvcWbWTZD0DgZe4wXGOQzfhM9y98siiG+uB1PNTLf+ZOB/gfPc/aoqhSUz2NtrNsPjUkDK3U8ue1A1Khy27M8EXzCOdPfNZtZFMODzEuCoYprFzewU4FfAq9z92rx1Dqx093PLHf8M8fwGWOjuz6zWc9YSnfHVvjcRfKv+XKGkB+Duf8pPemZ2upndbGY7w9vNZlZw/qpit81dzzGzY83sl2a2jWAYqtz608zsDjMbMrO1ZvZvBGekhZ6zx8wuDbcbCe8vNbNE3na561AvNLN/NrNHzGzYzB4sdJ0id73EzE4ws9+YWcbMBs3s6+EZUv72S8zsy2b2WBjHE2Z2uQUj8udvO9/MPm3BDNDDZrbJzL5nZgcV+hsLPP6qML5E+POgme0ws5+Y2f7hNhdYMFP5kAUzwU/3mr3GzH4XPj5rZrea2ZkzHI9Twu13Aj/NO7Yn5z1muZldbcFs3dvN7KdmdvA0cRS8xmdmKyyYwX4wPFYPmNkH85vkw/+nlJkdEB7LLeFr9kszOzRv25L+F8LHvMjMbjCzreExvdvM3lpo20LCLwjnA4uBL4WL/51gUut3lXAt+NXAOHBDMRub2XFmtsHM/mJmB4bLyvb/QzDd1jPM7PAi428sUY4tp1tRY9v9hmCcw4NKeMzbwsfcR9Ac8/7wZwcu2IdtU8CjwBbgcoLm1veE684AJsL1HwDeF+7n9nBf507Zz3yCMfcmCMZCfRtBk9JE+Ji5U7Y9N3z8HwjGGHwf8C7g/nD5SXkxOsFYkGngs8BbCMYHdODyvG0PBNYBm4CLCTqIfBrYTjBu4Py8mO8FdgBfCP/2jxCM+bqJvNmup3ldrgrj+BNwbfh3X0Iw/dEtwHvD570IeHd4LEeB/rz9fCLcz/+E2/0DwVm1A28vcDzuCeO+JPwb35x3bE+esv0CYE0Y05fCGH8APBb+nasK/E/kL3sZwXi49xJMj/OW8G8fB36Yt+2qcL8PA98GLiSYkXs4/F9o3Yf/hQsI/qd+Hx7bt4XH3YH/KPF9eGnuceHfcX2Jj78PuGuadQ5cNeX3F4ev181MGQ+4XP8/4b6eH+7rraX8HY1yizwA3fbyAgUf4NtL2H4hsDP8IJk3Zfk8gsFddwALSt02XJ4K3yxvynvO1vCDcRDombJ8PjDAUxPfv4fL3pa3n7eHyz8+ZVnuw+4OoGPK8qXhh+P38vbh4Yfdc/OW/yz8EJgzZdl1BFOgLMvbdkX4YfLRKcu+AOwCjs7bto8gUV5VxGuT++C6NG/5JeHyx/Jeh2eGyz81Zdlx4bJPFtj/T8JYpn5x8PD2ogLb547tyVOWfTJcdl7etp8Pl6/KW56augzoAjYQXDdsy9v2Hws836pw2fvytn1vuPwls/lfIGiGHAK+W+Dv/gJB8jq4hPdVnOA94QTvyf1LeGxr+Hw/nmb9ZOID/h4YCV/L7nL//0xZtyxc91/F/h2NdFNTZ+2bR/BhVqxTCd6kX/Q959/aDvwXMIdgaqNSt83ZTNCZZqrjCebK+oZPmdvL3bcR9CDLdwbBt/zL85Z/lSB5nlHgMZe5+8iUfa8jOGssNJHmLe7+h7xlvyaYfzIJQbMlwZx71wNDYdNrj5n1EHyYP0zYacPMDHg9wYf5urxtMwRnIKV08Ph83u//F95/M+91uJvgtZ/6N76e4ANr5dQ4wliuB+YCJ+Tt/y53/1WRsZ1OcBb7zbzlny7y8acSNAt+A1iQF9/Pw23yj9UEQYeLqX4d3hd6fYv5XziT4LrcFQWO008JLvOcUuTfBEEyyr02q919QwmPTYTPt3mmjczs/cBK4Ergb9191zSbfj7v91L+f3Jy0xEVmu284akLfO3bTvBhVqz+8P7eAuty84kdNIttcx5x9/G8Zblt7i+wn79ME+Nqdx+butDdx8zsAYKzmnyFei2mCc64it0Wgg8hCK6bthBcvzm/wPZT99MbPu7FBAm7kIlpls+035wt4f2aAttuYXfMEFxbMgof65zFeb8/WEJsBwF/yn+NPZgkdGsRj396eH/lDNvkx/eEuw/lLct/vaYq5n8hF8dMCT8/jpl8CDiGoBn9xWb2Wnf/fpGP9fC+0CziOa8ieJ9/zd33dg1yX/5/cnKxeIF1DU+Jr/bdAzzPzA7y4rqsz/Tm2pdtcwpNzjrTm2g2z1FIfrKdaf/TbTt1+9z9twm+ZReyK2/bX1H8mc+0CnxxyCnmbzSC4/w3M2yf/0Wm4IS6M5juw7CY1zK3zXsJkkQh+TNnF/N6FbN9/nECOJtg/rdCiioBMbPjCK5b30DQGnEn8CUz+18vMNN5AWmCL0aLZtjmjwStEWea2eXuvnq6Dffx/ycnF8t0X+QamhJf7fsR8DyC3p3F1Jg9Et4fSTCp41RHhPePzmLbYp7z6QXWFVr2KHCYmbVNPesLe/wdWuRz7quHCT7gO4poBtwEbCW4flJsk2GlPAS8FHjM3e+rwP4fBQ41s9apH7BmtoTgmm0x8QFkIj5WuTgG9yUOM+sk+GKUJbi2nTWzNxJ0OvsywZnajNx9wszuo3CTY87jBLOP/xr4lZm9tEBzfTk9LbzPn1W+KegaX+37OsGs8P88Q9f2483sbeGvNxJcd3qnBTVIuW3mAu8k6Mxy4yy2ncltBG/c88JrKLn9zCOYATrfTwiaD9+Ut/zN4fJri3jOfeLuaYJrTq8ys+fmr7dAb7jtBPAd4NmFSgbC7at1reRb4f0nzay1AnFcR9AEeHbe8vcX+fhfEnQYusjMnnKGY2bdU//XKuhqgg4vH7OgFjY/jvlhUtubjwFHAf/o4cg47v47gmuSZ5jZa4uMZxXw9PA9UVB4rfL5BGfEN5jZSUXuezZy//O/qeBz1Cyd8dW48BvmKwh6Jf7EzG4gSEZpgiTxAuAlBF3AcfetFgxjdSlwq+0eA/Bcgm95bwk7nZS07V5iHDezfyT4sPmjmX2NoFfkG8M4D8x7yGcI6pouDZuR7gCOJbjW9kDub6mCC4HfAb81s2+GcbQQXOc6jaCDx0fDbT8InARcbWZXE3RoGSG4rvQyguR/bqUDdvc/mdlHCD6Q7zSzHxJ8UC4h6GT0MqBjH57iM8DfAV8zs+MJmk1PJugwMzjD43LxZczsbIIvNw+Y2ZUEZ9cLgMMJzpDOIEgEFePuj5vZhQRfHO8zs28R9DDuBZ5B0InnCIKOTAWFX4j+Gfi5u+dfs/wA8HKKb/L8IUGv5ZcSvE+mi3uDBXWVvwJ+aWYvd/dKJKeXA39295muFTeuqLuV6lbcDYgRdAf/HcEF61GC3nc/I+gC3Zq3/RkE9UuZ8PZ74PRp9l3UthSo2cpb/yqC6x/DwFrg4wS9/PYoZwi37QUuIzhTHA3vL2VKOUS43bnkdYGfsm4VwUgiU5ftURO1t/0APQS1WQ8SdH/fSjBSxxeAIwq8Bv8art9FUO5xH0EN4nOKeA2vCt5yT1l+cqFjNNMxJ/jg+iVBT8Hc8f4f4MJijsdejsmBwDUEHat2EPSCPLhQLDPEdxTB9dN1BF8QNob/V//KnrVpT3kNw+XJMLaPzvZ/IVx+EkELwpNhHE8Q1Dz+E9A1w2vVRdCBaAtwwDTb/BUzlCkU2P5egiHL8pc/5TUi6JByB8H78ZRy/v+Ex3aCvJrPZrppyDIRkSoIm0W/TTD02QMRxvGfBC0uh7p7qR2fGoISn4hIlZjZLcAad/+7iJ5/f4IOTBe6+3S9mRueEp+IiDQV9eoUEZGmosQnIiJNRYlPRESaihKfiIg0FSU+ERFpKkp8IiLSVJT4RESkqfx/PoiRG9TR0X8AAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#On fixe des paramètres pour afficher les valeurs de Fr\n", "i,j=0,0\n", "N_variant = True #On fait varier N mais pas U\n", "plot_Fr(Fr,mat_UN,i,j,fig_dir,N_variant)\n", "animate(fig_dir,i,j,N_variant)\n" ] }, { "cell_type": "markdown", "id": "f1d5d0ce", "metadata": {}, "source": [ "## Modélisation d'une onde stationnaire généré par effet de Foehn\n", "\n", "Dans le cadre de l'étude des ondes de gravité internes, on modélisera le relief par une fonction périodique et sinusoïdale:\n", "\n", "$$ h(z) = H_m*sin(kx) $$\n", "\n", "Dans ce cas l'onde interne est dite stationnaire soit :\n", "\n", "$$ w = w_0* cos(kx+mz)$$" ] }, { "cell_type": "code", "execution_count": 10, "id": "e1ee9091", "metadata": { "scrolled": true }, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (Temp/ipykernel_35240/4241404263.py, line 10)", "output_type": "error", "traceback": [ "\u001b[1;36m File \u001b[1;32m\"C:\\Users\\bhess\\AppData\\Local\\Temp/ipykernel_35240/4241404263.py\"\u001b[1;36m, line \u001b[1;32m10\u001b[0m\n\u001b[1;33m fig_dir=\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" ] } ], "source": [ "#Modélisation d'une onde stationnaire au passage d'un relief périodique\n", "#Paramètre de la simulation\n", "k= 3\n", "m= 5\n", "Wm= 100\n", "nb_ptx=300\n", "nb_ptz=300\n", "z=5\n", "\n", "fig_dir=\n", "\n", "def onde_stationnaire(x,z):\n", " L=np.zeros((nb_ptx))\n", " for i in range(nb_ptx):\n", " L[i]=Wm*np.cos(k*x[i]+m*z)+z\n", " return L\n", "\n", "x=np.linspace(0,700,nb_ptx)\n", "w=np.zeros((nb_ptx,4))\n", "for i in range(4):\n", " w[:,i] = onde_stationnaire(x,500*i)\n", "print(np.shape(y))\n", "\n", "\n", "plt.plot(x,w[:,1],label=\"z=500\",c=\"r\")\n", "plt.plot(x,w[:,2],label=\"z=1000\",c=\"g\")\n", "plt.plot(x,w[:,3],label=\"z=1500\",c=\"b\")\n", "\n", "plt.legend()\n", "\n", "#plt.plot(x,Wm*np.cos(k*x+m*z),c=\"r\")\n", "plt.xlabel('X (m)')\n", "plt.ylabel('Z (m)')\n", "plt.title(\"Onde stationnaire au passage d'une montagne\")\n", "plt.savefig(figure_dir+'onde_stationnaire.png',dpi=100)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "a664b400", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }