{
"cells": [
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import display, Latex\n",
"from IPython.core.display import HTML\n",
"css_file = './customNEW.css'\n",
"HTML(open(css_file, \"r\").read()) "
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python version 3.10.6 (main, Nov 14 2022, 16:10:14) [GCC 11.3.0]\n"
]
}
],
"source": [
"import sys #only needed to determine Python version number\n",
"print('Python version ' + sys.version)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# M62 TP 2 - Implémentation des schémas \"classiques\" et étude de la convergence"
]
},
{
"cell_type": "markdown",
"metadata": {
"toc": true
},
"source": [
"
\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"hide_input": false
},
"source": [
"## Rappel de CM : implémentation des schémas d'Euler explicite et implicite\n",
"\n",
"Considérons le problème de Cauchy\n",
"\n",
">trouver la fonction $y \\colon I\\subset \\mathbb{R} \\to \\mathbb{R}$ définie sur l'intervalle $I=[0,1]$ telle que\n",
">$$\n",
"\\begin{cases}\n",
"y'(t) = -4y(t)+t^2, &\\forall t \\in I=[0,1],\\\\\n",
"y(0) = 1\n",
"\\end{cases}\n",
"$$\n",
"\n",
"1. Calculer la solution exacte en utilisant le module `sympy`.\n",
"1. Calculer la solution approchée obtenue avec la méthode d'**Euler explicite** avec $h=1/N$ et $N=8$ (pour bien visualiser les erreurs);\n",
"2. Même exercice pour la méthode d'**Euler implicite**."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction 1** \n",
"Calculons la solution exacte en utilisant le module `sympy`:"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle \\frac{d}{d t} y{\\left(t \\right)} = t^{2} - 4 y{\\left(t \\right)}$"
],
"text/plain": [
"d 2 \n",
"──(y(t)) = t - 4⋅y(t)\n",
"dt "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle y{\\left(t \\right)} = C_{1} e^{- 4 t} + \\frac{t^{2}}{4} - \\frac{t}{8} + \\frac{1}{32}$"
],
"text/plain": [
" 2 \n",
" -4⋅t t t 1 \n",
"y(t) = C₁⋅ℯ + ── - ─ + ──\n",
" 4 8 32"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle \\left\\{ C_{1} : \\frac{31}{32}\\right\\}$"
],
"text/plain": [
"⎧ 31⎫\n",
"⎨C₁: ──⎬\n",
"⎩ 32⎭"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/latex": [
"$\\displaystyle y{\\left(t \\right)} = \\frac{t^{2}}{4} - \\frac{t}{8} + \\frac{1}{32} + \\frac{31 e^{- 4 t}}{32}$"
],
"text/plain": [
" 2 -4⋅t\n",
" t t 1 31⋅ℯ \n",
"y(t) = ── - ─ + ── + ────────\n",
" 4 8 32 32 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%reset -f\n",
"%matplotlib inline\n",
"\n",
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"t = sym.Symbol('t')\n",
"y = sym.Function('y')\n",
"edo= sym.Eq( sym.diff(y(t),t) , -4*y(t)+t**2 )\n",
"display(edo)\n",
"solgen = sym.dsolve(edo)\n",
"display(solgen)\n",
"\n",
"t0 = 0\n",
"y0 = 1\n",
"consts = sym.solve( sym.Eq( y0, solgen.rhs.subs(t,t0)) , dict=True)[0]\n",
"display(consts)\n",
"solpar = solgen.subs(consts).simplify()\n",
"display(solpar)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On définit la solution exacte à utiliser pour estimer les erreurs:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"sol_exacte = sym.lambdify(t,solpar.rhs,'numpy')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction 2 et 3** \n",
"On commence par importer le module `matplotlib` et la fonction `fsolve` du module `scipy.optimize` pour résoudre l'équation implicite présente dans le schéma implicite:"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib.pylab import *\n",
"rcParams.update({'font.size': 16}) # rcParams.update(rcParamsDefault)\n",
"from scipy.optimize import fsolve # pour les schémas implicites"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On initialise le problème de Cauchy"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"# variables globales\n",
"t0 = 0\n",
"tfinal = 1\n",
"y0 = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On définit l'équation différentielle : `phi` est une lambda function qui contient la fonction mathématique $\\varphi(t, y)=-4y+t^2$ dépendant des variables $t$ et $y$."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"phi = lambda t,y : -4*y+t**2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On écrit les schémas numériques : les valeurs $[u_0,u_1,\\dots,u_{N}]$ pour chaque méthode sont contenues dans le vecteur `uu`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma d'Euler progressif :**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_{n+1}=u_n+h\\varphi(t_n,u_n)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"def EE(phi, tt, y0):\n",
" h = tt[1] - tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt) - 1):\n",
" uu.append(uu[i] + h * phi(tt[i], uu[i]))\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma d'Euler régressif :**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_{n+1}=u_n+h\\varphi(t_{n+1},u_{n+1})& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$\n",
"\n",
"Attention : $u_{n+1}$ est solution de l'équation $x=u_n+h\\varphi(t_{n+1},x)$, c'est-à-dire un zéro de la fonction (en générale non linéaire) $$x\\mapsto -x+u_n+h\\varphi(t_{n+1},x)$$"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"def EI(phi, tt, y0):\n",
" h = tt[1] - tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt) - 1):\n",
" temp = fsolve(lambda x: -x + uu[i] + h * phi(tt[i + 1], x), uu[i])\n",
" uu.append(temp[0])\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On introduit la discrétisation: les nœuds d'intégration $[t_0,t_1,\\dots,t_{N}]$ sont contenus dans le vecteur `tt`. \n",
"On a $N+1$ points espacés de $h=\\frac{t_N-t_0}{N}$.\n",
"\n",
"On calcule les solutions exacte et approchées en ces points:"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"N = 8 \n",
"tt = linspace(t0,tfinal,N+1)\n",
"# print(tt)\n",
"\n",
"yy = [sol_exacte(t) for t in tt]\n",
"# yy = sol_exacte(tt) # si vectorisée\n",
"uu_ep = EE(phi, tt, y0)\n",
"uu_er = EI(phi, tt, y0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On compare les graphes des solutions exacte et approchées et on affiche le maximum de l'erreur:\n",
"$$\n",
"\\max_n \\left| y(t_n)-u_n \\right|\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Rz8Mk0bIB+4wVY5/N8O/DtsH2PqSkhUP4Yzphra/K2Ufou/WkKPM2wX5L3h/xmfknzm2X+XeI+zgku2K2H6z/oznW4/Sw5QtifahjzSPiywPYhSg/9MPmP439YNwgYhsron3oynhtoZPs2THmf4xlw8Kn1cWav63ETrJrsRNhZJ+f0HFbQOmm27Wwk9Rywr60I49DMK2IsMQA9oN5CXZh3jCO11juNiPmTcZ+RDSPMi/0JXl9eftN8r02PNj+A1HmvRbMOzxiel7wt3gjwb/58CjzQs0Xn8Iy8x44MMpyoRNnuxj7GE3pC7KUvqfDjtVTUeYltC8qlmzoEGMfBbGOczB/cDD/nIjpRZT/fRP+KIjjbz40WPaKGPPvCObvmcR7NhRv4wTWaQB8FXzOekXMuzDY3rEx1n0xmL9J8P8uwf8fi7H8OURc5GEX8GdjLaHysT6Gw7DvJE/0ZsDXYXcRm2AXwj2xH2Ge0knThF5D2PQtsTua4X/f32K9h4J1DolYfh4RdR+C5e4O5q8J4t4Zu+tWiCUYPVG6Y+lReR5U4WuRYL1ZxP4hHuu854GWEfO6BdMvi/LaVhO9X/+HwfxWccbTJmzajCCWVhV8jW2iLH9rMK9TlHmNsO/Qp9P0fgu9R16PMu/+YN4lUeb9BMyOcx+h91es9+harGvKg8FyJ0dZbmwwr3eMfQwn4lyJdR9cS4zm4FjrWA9sH/G3i3rODztWH0WZl8y+1vscRnkfF0VMKwqm7x9jnTaxjnMwf/dg/h0x3pvxPobH8TdP+JxdxrZCifNS3YmwH68ea7lX1jZCNz9jXtdjrW9mRrzWGUC/KMt2B07Azuf1sNZTJ2I/xNcScSMgyvqhY94xns9QsE5NSn4jDI+Y15mSc/8S7FpnA6zlyDPEuI6Oso99gm18R/RabZOwrkWNIz4z/8T5Gsr9O8TzqArdKCZ57wdkaF97BM+bu4hxcQObYCfbdlhCIGSm935hEvvZPsZ+6gHNnHMb+qB5sfd+hXNuKHZyvgW7i/Z/3vuozWqAz3zppturnXMfYn3tt8F+eMRrW+wiucinp0nSHtgH8sQoTYBqhcUQk7MhrIZHTJ7lg+aAcfgiyrQ/o83z1pVlPvaDKTyGOlgy6FDsGDeI2N4mkTvwYc0Xg0l3e++fjxJLs+B5UVkvIkK63tMfR5mW7L4Stdx7/02S64aO3XrDIHnvCyoQTyyhN7JPw7YTEnS7ehJL3F3qvY9sgphorAm/tuBvFv53KwbGOee+AD7Bulc9GLHOORGbme6c2xv7PB7unBvjS7pUJByTc2537GT9GXAkdhHVEmsu/JBzbmvv/YVRXsvTtrqrg90lOxN42Tl3tvf+prBF84LnlcBB3vvQ98kU59wxWDPTM7DuWVK5VcVrkfLEOu/le+/nRiwbem9vSmmzffQRgN7GmnbvhN1Rj4tzrgF2PfCVT09XpD2w75F+QTX5SMsp/3qkMet3mwT7AXBznDHEfT0SNm+P8AlBV5NjsOuiDliiJPwCK9r1SFHQpfU8rBVNZHfOkGSuR3bD3rcNYryvtwuetwW+Dpte3jk/2vVEsvtKRrLXM7GuR4ZT+lq2olJ5PZJwO/0oQiNDRW26H3zuxmPdmkPJ+a2xJNck59zx3vt7Qst765YQ3jVhNnCnc+4n7Dx7KVG6WFbQXVgXzIei/M4InftrABf7kpEqFjvnDsNqZw10zrWK9R3mnNsBu25bCgz2Ed1tnXP/B/TDri3+SfI1lPl3iFdVSDZkUtPguX/wiKV+xP//SnI/R5azXH2sSX3IN9hQdh2wrGG0fssh82NMD/UlaxRjfiwbBM+xhqerqKbY+/XSMpaJPO6R2kRZ/w2iD5sXTbR+/2vKmVcrYtozWIXb7ygp0rUmiO1IrO9hNJMoSTbcEWOZ5cFzvRjzo0nXezra/GT3lahY7+14hI5dJoZlXRw8bxBjfqOI5dLCOVcTaxWzL3CD935MlMXijTX0OUjZa/Pef+2c+wDYq6wTb9jyxc65CdjwoV2wO3qJxLQE/kvAPI59Pgd670Ofrx+CIaTaA+c4524NSxJExrIS+14+xjnXHLjOOfei9z7U5zUU08dRtvEqloTYtazXK9VSpq5FyhPrvFfWuTLynAi5eT3isO+YWMo7jzWm9PXIbKxeRDySuR6JvOa/Dbu7OxurK/An1mS6MXAasa9HJmLJBkjP9UgPStfPCRd5bMs755d1PZLovpKR7OcuV69HQss0wloOJLSdIMm/PfCB9/7bKPObYYVwv8daDIQSJF845wZiv4PGOuceKOOGKwDe+6nOubnYUON53vt15by2uDjnbsZqqz2J1WqLFP7617t56L1f5Zx7NVhvF6IkWp1z22DXCLWwVpNfRsxvit14fsp7PzHJ11Dm3yER1SnZEHoD1YgyL94TWegLfIT3/v4E9p1opjC0n95+/bFoy3MplmhYgGXE9vfevxhj2Y1iTA+NIxtvQb2Qf4LnaHctUmEJlr3ePNkNeO+LSE3GNSlBAZj9sfoM+4d/qTnnDiVGcsk5tzElRaoaYWMv7+VLF9kKnXCbYlneeKTrPR1tfqL7SvYzW5HMfJPgeb2Ll+DHZZsEtvOw935WOcv8GDxvFWN+O+wY/JLAfhPibFztx7C+1rd578+OsWg8sf7hS8Z4/hmLvazloSQRUJ5QUjW/Assn+hq2xWqmPBuWaADAe++dc29izTi3p+SOYllexfrgdqWkwFZk0iFyH/+S+A8tqdxy6VokU1J9PRL6PKXzemQtVt9lZXkLRxOcH7J5PdICa1b+BdZVb3nYvD2wZEO09fKxGzQrsPfyLc65N6K0aA2/HolX6O98pff+4gTWq8j1SCL78kT53Drnyvzchv0YTlSs65EB2Ghy8Zrovf+8nGVSec7+EUuSb4W1tk50O6GChA/EmN8FS4q8GXlsvffLg5sTB2PXbPHE+zfWYrEOJUmypAUtf07DWl0Mi3KtDna812Lvp2iJl9C0Usk659zWWE2HhsC+PnoR01bYZ2+Qcy7q+y803Xsf63uovL9D3KpTsuGf4HmzKPN2jnMboQ9NZ6xvXLqE7yeuZENQ/fkCrBDNIdgwaw8653bw3kfLqu7snMsP70oR3MnbHTuJfJ9gzN9jRdP2dM418N4vTXB9sA8ezrkaUT6cHwJ9nXMtozTPzBVbBs8vRsmedo22QlCx9iHsYqw/9p64ALujMjpi8VC3l3ZEb0YZTabe08ns65/guSKf2URtHTxHdiEaTtl3PyIVYf3iyvIDVjSoq3OuXsTF3oZYRvujyKZxqRIkGh7FWszc7b0/tYzF38fueO0TZTs7YT8KnghNC074H2GjaWwe3kQ6+J7pib32HyO3FyPOXbA7c/GOkrN78Dwr2ddAyV29DSOXD4R+IMX7YyP0wyf8Tsv04Hm7iGVD74ENieMYSU75J3jOhWuRTGkd+T0RCJ0X4z2fAeC9X+qcmwFsE09rqBhC1yDRkkIfYt9Ju2FdPXLRFliy47XIZCoxrkcCN2FdQE/DrhXvwVpIDI9YLvx6JF4fYT/oOyewTrKS2dc/VI7rkQGU3/I53CzCRlKJJpXnbKzF8BBsZIjIZENh8Bx1tIVgVIwhWGuOJ6ItQwrPzc65htiNhXlRPgcJc85djdWeegE4NFbLiqDr+/vYZ207bJSgcKFrgvVGRXPObYWNtNEYq+cUa9SKBcROEhyKDUTwaBmvI56/Q/xiFXOo7A8SH9u6DtavZT7rF8poG/xRShVpIXrBlw+wk1C0An21KF29t9Q24ox1ThDv7lHm1wP2CPt/I6xIylKC4oBY3QVP6YrUoePmSf1oFDcEy0YbjaI55Y9G8RQRxaDC5u0XzJtK9Kq+WxDHCABJvteGE6PIDmUXkZrF+mN3hwrwTIhYrjN20o72HgxV1L437D32MfaDZc+IZUNFna6N8TpGR4s1le/pso5Vkvv6EfuB2DZs2kaUFCB6uKxjHmUfBeXE9yqW2a6TjvdSlP1dGcRzecT0O4Ppx0ZM3wA7MW5SznaLgvUbx5ifhw0F57EfK/GMnT0uWP6YsGk1sCaAntIjLYwIpv8vfPtY81tPRGHM4HNQI2JaDUoKdU2MmLcjUYrRYnc01mEXRpEjUsT9GrCiu4uD9+veEdvZATsJ/8v6o1fsSfRRUHbELlRXAptFzCtVQAr7ERAqHnlVJt6LeiT3oApfiwTrzSKx4omllo84Tg9HicsTUYCZio9GcUowbXLkZxK7ZipvNIrQ6E7do7yWHbBz8BdE+S7GEpfbRU5P0futINp7JJg3OphXEGVeEWHXbFjy02M/csK/n7cO3pvR/lb9gulTQutgXTw9MChi2WbY93DUUQeIPRrFk8H0E6Kskwf0iOf9Vt6xSnJfrwbLdwubVh9LOEX7jK53zMv4TMSKLzQqSOt0vJei7C/Rc3Y+dj3SKmJ6M+zcOY+wEZuwlg5LsNaaUUc2wIaN98AjZcTZMvj8LaP0KCh9gvfdLxHTu0TZTl1KCqvfXM6xeZhyCkRScj33MnFcQ4a91qmsX5S/K/bdPpv1fze1xVotryBKwekE/s6zKKdAZDx/h0QeVaFlw7YxirtAWLEd7/1K59xdWMbpU+fcJKyJyUHYF8jBce5vKHY3arJz7i0sW7gGq2y6F9Y/qczCQOUJYh2EvWHfd85NxYZWrIl9OfXAKpf3DVa5M5h+nPf+x2AbzznnHsD6Cp/kvY/sV/c2cJZzbk+s+FkH7ETyB3bnPBmXYB+S47H+1VOxD/3WWDazBSV3daKZjrXKeMI59wp2Yf629/5t7/1LzrmxQWw/OeemYFXqN8IygJ2xv82sJGPPhA+wRMGQoGvER9iXRz/sgmhg+MLOue2Ba7Af3GfAf0U8h2EtVx5zznX0Jc0XP8e+nErduS1H2t/TFdjXzdhQYu85557CLtQPxC6QErljUq6geWhnrOBVUk1jk3A19ve/2Dm3K3bxugd2F+F1rFVLuIOCaY8QcSfJOXc9JZn+0DG80zm3Kvj32T4oKAuMAg7HPo+/A5e60oVXH/brdwU5F7t4u9c5V4hdMOyDNZd8xJfu8vUglkE/HGgb/L23w1rofI29t8PdDTR1zr2DnVA3wCpIb4t9rk+JWP5o4Gjn3DTsfb8Ou8PUA0sYHelL36mI+zV4u/NwPvb9OsU5Nxn7LLbEzhd1sCrsy8K2PxbYLnits7EL1m2w7z8HnOK9j2ydcQL2ff5g0Dz2JywxuSd2R2sskguq3LVIBn0J9Ak++29ir2EQlpQ5Oclt3oEVZ+sPfO+cewFLELbF6tN0o+y7vdOxv9Hdzrmng3W/8t6/6L3/yjl3CnZu+sE59xL2HdUEOy91w66HZiQZe9p57393zj2Hve8+cs5NxxIQ/bBkQuT1yMbYndIFrN9P/hjse+oe59x7Prgj7r1fEPw9C5xzNX05fefDnIC9b+90zh2L3RlfijUL3xO7cVU32dddwX3dgp0vXnbOjcc+b/ti19Dp0Av43Hs/u9wlUyPRc/bu2OfkDey8Cvz3tz892N6nzrknsKT+YdjN0pHe+9UxYgg13Y9ZkNB7Pze43jkP+Dh4H4cKRPbDrgVOj1jtJefcPOxv/Bv222Ef7G/9KVHqwQXn/9B3aLfgeYxzLlSH4mrv/XfBssOxEa9WYtdxF0S5ppro1+/OMg77zdMfO06vBnEdgr23RkR8bqYBm2PfkV2cc10itv/feSYFyv07JCQVGYtsPIhvuKlZEevUxDJPv2JviK+w7E0Bcd5NCKY3wy4Av8UuapdgJ5UHKH0HLKm7CcG6rbCT2c9BvIuCmG8DdguWGRLsY1KU9etjF8fFQPuI4/Yw1udrahD/Ymy4rC2ibCfujC32RXJBEOfyYLufY+PJ1ypnm7Ww1hFzsQ9atL/JvtgQdX9jd7x/w77ozgI2TNN7bTgpaNkQTGsRrPN78Hf5BBvyZr33IPZD5gtsSLBorVuOI0rWEbvA8aG/d8S80WXEmpL3dFnHKpl9BcufgX0GVmE/xE7HWrJ4UtiyATsReuIYRzrF768m2Gc69L30CzamdbRhjIZHe91hr72s78M2Ycs+XM6ynuh3xzbHEh1/BbHOwFpE1Yjx2uoFr+WXYPlfg9faOMqyp2J3+X/FMvfLsB8hV8RYvi9W1OwX7AJxJdbC635gmzKOd6KvYV8s8bsA+15aiF2Ml3qfYBcJTwUxLQu2Pwu7qOhcRkxtsCaN84L3+UzszmqjWOvoUTkeVPFrETLTsqEomP8sdp2zDLs26ViReLAfOCdgif1lwffEt9h1RuM4Yr4AO/esjhH7nsHn/Y/gc/sn1l1rFHEMuZnk+y3qeySYN5o4WzYE0xpiCf3Z2HfuN9j38HrnVyxR+kow7eAo2+6L/cCbBuSFTT+cGOdUYrRsCObVx364fRb2d/sRuwt9cMSyUf925R2rZPYVLD8sOE6rsGvVy7Fr17ivk6N8JqL9LfcM5p2YjvdRGTElcs4uiPa6w+YfgN0YWoZ9N02ljKG8g+OxDrvOi6e15dDgGC/Gzs3zsDoJpfaB/QZ5i5IiqP9i3wvnEuVaK/zvV8ajIGzZ0eUsG+u6s1YQw7fYZ3ARdvMx2rC6CZ1nyjhusyijZUOif4d4HqFmUFJNOBv+cSb2I3V4dqORVAuKPv2Mdbs4M2LeaCx7u4Uvv3hhleScK8Ay8Uf5iKGIgqxyKyxRE62gj4iIpFBQpOwNn57hhSWLnHN1sR/uH3nvD46YNxxrpdfTW/Huaifsevwy7/3oiHn3Ya2ctvDeJ1ogVaRSySt/ERHJFd77edhdm+OcDbUncQi6E+0DXKBEg4iISMV4K248ChjgnNsh2/HkCudcK6wA5JVKNEhVUBVqNojI+q7DmkC1IfXjqldVzYBzvPfPZjsQERGRKuIRYGNgE0qPqiDRtcK6MkTWWhPJSUo2iFQx3oYdvSzbceQS7/0L2FBFIiIikgLehvlWkdsEeO/fJneHVBUppdLXbNhwww19mzZtUra9ZcuWUb9+/ZRtrzrTsUydTBzLf//9l3///ZfmzZtTs2bVzTOWdSxXrlzJggULaNy4Mfn5+RmOLPfoM5466TiWn3zyyd/e+43KX1IqKtXXIqDPVyrpWKZOJo5lcXEx//zzD82aNaNOnTpp3Vc2lXUs16xZw19//UXDhg1p2LBhhiPLPfqMp06mr0cq/S+ONm3a8PHHH6dse0VFRRQUFKRse9WZjmXq6Fimjo5l6uhYpk46jqVzLlNDolV7qb4WAX2+UknHMnV0LFNHxzJ1dCxTJ9PXIyoQKSIiIiIiIiIppWSDiIiIiIiIiKSUkg0iIiIiIiIiklJKNoiIiIiIiIhISinZICIiIiIiIiIppWSDiIiIiIiIiKSUkg0iIiIiIiIiklJKNoiIiIiIiIhISinZICIiIiIiIiIppWSDiIiIiIiIiKRUXMkG59zmzrnbnHPvOeeKnXPeOdcmznXrOueuc8794ZxbHmyje4WiFhERkWpH1yMiIiK5I96WDVsBg4FFwFsJ7uMBYAQwCjgA+AOY4pzrmOB2REREpHrT9YiIiEiOiDfZ8Kb3voX3fj/gqXg37pzbCRgKnOG9v897/zp2kTAHGJNwtBU1fTqdhwyB6dMzvmsRERGpMF2PiIiI5Ii4kg3e+3VJbr8fsBp4Imxba4DHgULnXJ0kt5u46dPhgAOoO28eHHCATvAiIiI5RtcjIiIiuSPdBSI7ADO998UR078BamPNIdMvOLFTHIRRXKwTvIiISPWh6xEREZEMS3eyoSnWrzLSwrD56RV5Yg/RCV5ERKS60PWIiIhIhtVM8/Yd4GNMj72ScyOBkQAtWrSgqKgo6QA6H3YYdSNP7CHFxaw47DDef/zxpLdfnS1durRCfxspoWOZOjqWqaNjmTo6llmX8PVIKq9FQNcj6aTPV+roWKaOjmXq6FimTqaPZbqTDQuBVlGmNwmbX4r3/l7gXoBOnTr5goKC5COYMCH6nQSA/HzqTphAhbZfjRUVFenYpYiOZeroWKaOjmXq6FhmXcLXIym9FgFdj6SRPl+po2OZOjqWqaNjmTqZPpbp7kbxDbCFcy4/Ynp7YBXwU5r3Dz17wgsvQP76Iayrm2/Te/ZMewgiIiKSVZX2esTXravrERERqZLSnWyYDNQCBoUmOOdqAocCU733K9O8fxPlBD+55406sYuIiFQPlfJ6xAN/7N5f1yMiIlIlxZ1scM4d4pw7BNg1mLRvMK1HML+1c26Nc25UaB3v/efYMFM3O+eOdc7tjQ0ztQVwaapeRFyCE/yKjTYC4Mf3F+Kj9d4UERGRSquqXI8sb96C9/O60ODDabBqVUZDEBERyYREWjY8FTyOD/5/Z/D/y4L/O6BGlG0eBTwEXAG8CLQE+nrvP00y5uT17Mn7Tz7JglYd2W3RFD74IOMRiIiISMVUieuRD554nHe6X0ijFfNZ8+zkjIcgIiKSbnEnG7z3LsajIJg/K/j/6Ij1lnvvz/Teb+y9r+u938N7X5TSV5Gg+gcX0pV3eObhf7MZhoiIiCSoKl2PbHNaX+ayOf9cd182wxAREUmLdNdsqJTq9iukFmuY9/h01qzJdjQiIiJSHfXZtwbjah9N009fhVmzsh2OiIhISlXLZANdu7Kmbn06L36F11/PdjAiIiJSHdWpA/P2PxqAtfc+kOVoREREUqt6Jhtq18b16sm+eVMYNy7bwYiIiEh11euo1kyhkNX3PoiaW4qISFVSPZMNQI19C9li3S988cxPFBdnOxoRERGpjvr0gXH1RlB3we/w8svZDkdERCRlqm2ygcJCALoVT+H557Mci4iIiFRLdepArYMPZJ5rwbp7VChSRESqjuqbbNhqK3zbtvSvO4Xx47MdjIiIiFRXBx9ai4f8cNzLL8Jvv2U7HBERkZSovskG53CFhXRfO53XXlrFwoXZDkhERESqoz594IkGx+LWrYOHHsp2OCIiIilRfZMNAIWF1F29lN3WvMvTT2c7GBEREamO6tSBHQ7aijdr9sQ/8ACsW5ftkERERCqseicbevbE16zJsKavaFQKERERyZpBg+CuNSNws2bBa69lOxwREZEKq97JhkaNcF26cGDtKbz5JsyZk+2AREREpDrq0wdeb3gQS+s0hftUKFJERHJf9U42ABQWsvGfn9OceTz+eLaDERERkeqoTh3oO6Auj3IEftIk+OuvbIckIiJSIUo29O0LwIlbTlVXChEREcmaQYPgtpUjcKtXwyOPZDscERGRClGyoWNH2GgjDm0yhS+/hK+/znZAIiIiUh316QO/NWrPj827wv33g/fZDklERCRpSjbk5UGfPmw9cyo189Yxfny2AxIREZHqqE4d6N8fblo6An74Ad58M9shiYiIJE3JBoDCQvIWzOe4PT5n/HjdSBAREZHsGDQIHi4exOr6G6hQpIiI5DQlG8DaLQLHbPYKs2fDu+9mOR4RERGplvr0gVqN8nmr5TB4+mlYuDDbIYmIiCRFyQaAFi2gY0d2+GMK9eqhrhQiIiKSFaGuFKN/GwErV8Jjj2U7JBERkaQo2RBSWEjND97l0H2X8OSTsHp1tgMSERGR6mjQIHjr344sbtfJulKof6eIiOQgJRtC+vaFNWs4Ydvp/P03vPpqtgMSERGR6qhPH2jUCCZuNMKGyfrgg2yHJCIikjAlG0K6dIEGDdj17yk0bQrjxmU7IBEREamOQl0pLvn2MHz9+ioUKSIiOUnJhpDataFnT2q8NoVBg2DiRFi2LNtBiYiISHU0eDDM/achv3YdAo8/DkuWZDskERGRhCjZEK6wEH75haO7/0RxMUyalO2AREREpDrq3du6UjxSewQUF8OECdkOSUREJCFKNoQrLASg04JXaNlSXSlEREQkO0JdKW58e3fWbb+DulKIiEjOUbIh3FZbQdu25E2dwmGHwZQpMH9+toMSERGR6mjwYFj0j+O7biPgk0/gs8+yHZKIiEjclGyIVFgI06fzf4NXsXYtPPVUtgMSERGR6ijUleLOJf8HdeuqdYOIiOQUJRsi9e0Ly5ax/eJ36NABxo/PdkAiIiJSHYW6Uox/uQlrDz7E+neqerWIiOQIJRsi9ewJNWvipk5h2DB45x2YNSvbQYmIiEh1NHgwLFoEH+00wkakUJNLERHJEUo2RGrYELp2hSlWtwFUAFpERESyI9SV4t4Ze8E226grhYiI5AwlG6IpLITPP6dN3T/p2tVaLXqf7aBERESkuqlTBwYMgImTHGuGHwvvvgvffJPtsERERMqlZEM0wRCYTJ3K0KF2Tv/qq+yGJCIiItXToEHWleKNNkdCrVpw//3ZDklERKRcSjZE07EjbLQRTJnC4MFQs6a1bhARERHJtFBXinFTN7JmDv/7H6xYke2wREREyqRkQzR5edCnD0ydyoZN19Gnj9VtWLcu24GJiIhIdRPqSvHcc7B6+AhYuBCefTbbYYmIiJRJyYZY+vaFv/+Gzz5j2DCYOxfefjvbQYmIiEh1NGgQ/PMPvOb3hi22UKFIERGp9JRsiKVPH3ueMoX+/SE/H8aPz25IIiIiUj2FulI89UweHHMMFBXBjz9mOywREZGYlGyIpXlz2HlnmDKF+vWt+eJTT8GqVdkOTERERKqb8K4Uq4YdBTVqqFCkiIhUako2lKWw0IaYWrKEYcOsi+Qrr2Q7KBEREamOQl0pXp+xKey/Pzz8sO6CiIhIpaVkQ1kKC2HNGpg2jd69YcMN1ZVCREREsqN3b9hgA2tpyYgR8Ndf8Pzz2Q5LREQkKiUbytKlCzRoAFOmUKsWDB4MkyfDv/9mOzARERGpburUgf79g64UvfrCZpupUKSIiFRaSjaUpXZt6NkTpkwB7xk6FJYvh4kTsx2YiIiIVEf/daV4oyYcfTRMnQqzZmU7LBERkVKUbChP374wcyb89BNdukCbNjBuXLaDEhERkeoo1JXiySexUSkAHnwwqzGJiIhEo2RDeQoL7XnKFJyDww6D116DefOyG5aIiIhUP6GuFBMnwqpNWttQ3Q8+aDWmREREKhElG8qz5Zb2mDIFgGHDYO3a4I6CiIiISIb915XidaxQ5G+/abgsERGpdJRsiEdhIUybBitX0qED7LijRqUQERGR7FivK8WBB0Lz5ioUKSIilY6SDfEoLITiYnjnHcBaN7z/Pvz8c5bjEhERkWpnva4U1Ibhw+HFF+H337MdmoiIyH+UbIhHz55Qs+Z/XSmGDLHJEyZkMSYRERGptgYPDutKceyx1sfzoYeyHZaIiMh/lGyIR8OG0LXrf8mGVq2ge3cblcL7LMcmIiIi1c56XSnatYOCAnjgAVi3LtuhiYiIAEo2xK9vX/jiC/jzT8C6Unz3HXz+eXbDEhERkeqndu2wrhSrsEKRM2cGTR1ERESyT8mGeIWGwJw6FYBDDoFatax1g4iIiEimhbpSvPYacPDB0LSpCkWKiEiloWRDvHbayao9B10pmjaFffe1ug1r12Y5NhEREal2Ql0pnnoKqFsXDj/cmjrMn5/t0ERERJRsiFteHvTpYy0bgv6QQ4da4ec338xybCIiIlLtRO1KsXo1PPJItkMTERFRsiEhhYXw99/w6aeADW3doIG6UoiIiEh2rNeVokMH2HNPuP9+VbAWEZGsU7IhEX362HPQlSI/Hw46CJ5+GlauzGJcIiIiUi2t15UCrHXD99/DW29lNS4RERElGxLRvDnsvPN/yQawUSkWL4aXXspiXCIiIlIt1a4NAwaEdaUYPBgaNVKhSBERyTolGxLVty+89x4sWQLA3ntbDmL8+CzHJSIiItXSoEFhXSnq17eiUk8/DYsWZTs0ERGpxpRsSFRhIaxZA9OmAVCzJhx6KDz/vLVwEBEREcmkqF0pVqyAxx7LalwiIlK9KdmQqD33tKqQYV0phg61mg3PPZfFuERERKRaKtWVYpdd7HHffSoUKSIiWaNkQ6Jq14ZeveCVV/47ge+xB7Rtq1EpREREJDvW60oB1rrhq6/gww+zGZaIiFRjSjYko7AQZs2CH38EwDlr3TBtGvzxR3ZDExERkeqnVFeKoUNt2CwVihQRkSxRsiEZhYX2HDEqxbp18MQTWYpJREREqq1SXSkaNbKiUo8/Dv/+m+XoRESkOlKyIRlbbmmPsGTDttta90iNSiEiIiLZELUrxbJlMGFCNsMSEZFqSsmGZPXtC9OnW2XIwNCh8NFH//WuEBEREcmYUl0pOneGDh3UlUJERLJCyYZkFRZCcTG8885/k4YMsfoNKhQpIiIimVaqK4VzMHIkfPwxfP55doMTEZFqJ65kg3OupXPuaefcYufcEufcs865VnGu28o594hzbo5zrtg594Nz7grnXP2KhZ5lPXtCrVrrdaXYbDMoKLCuFBppSkRERDKtVFeK//s/qFNHrRtERCTjyk02OOfygWnAtsCRwOFAO2B6eQmDYP5rQHfgEmB/4H7gLODBCkWebQ0aQNeuNgRmmGHDrBvFxx9nKS4RERGptkp1pWjaFA45xJpdFhdnNTYREale4mnZMAJoCwzw3k/03k8C+gGtgePKWbcrlpg4znv/iPd+uvf+WuAWYGCQyMhdhYXw5ZfrjXc5cKA1Y1ShSBEREcm0Ul0pwApFLl4cloEQERFJv3iSDf2A9733P4UmeO9nAu8A/ctZt3bwvCRi+j/Bvl18YVZSoSEwp079b1LjxrD//jbS1Nq12QlLREREqq9SXSm6d4ett1ZXChERyah4kg0dgK+jTP8GaF/Ouq8BPwLXOOfaO+caOOd6AacBd3vvlyUUbWWz007QvPl6dRvARqX4808brEJEREQkk0JdKZ58MpjgHBx7rBW1/vbbrMYmIiLVR804lmkKLIoyfSHQpKwVvfcrnHPdgGew5ETI/cDJsdZzzo0ERgK0aNGCoqKiOMKMz9KlS1O6vW132ommL73Eu9OmQZ7lbho2zKN+/S7ccMN8atb8PmX7qmxSfSyrMx3L1NGxTB0dy9TRsUwN51xL4CagN9Y68jXgdO/9nDjWbQVcDvQENgR+BZ4Exub8zY8Ioa4UkyZZV4ratYEjj4SLLoL774cbb8x2iCIiUg3Ek2wAiDa2QrldIJxzdYEngOZYYck5wO7AKGANcELUnXl/L3AvQKdOnXxBQUGcYZavqKiIVG6P336DV1+loFEj6NTpv8mDBsEzz2zCHntsQr16qdtdZZLyY1mN6Vimjo5l6uhYpo6OZcWFFaxeiRWs9sAVWMHqHctKGIQVrK6FFayeA+wGXIbVljo0vdFn3qBB8Mgj1pViv/2wlpj9+8P//gdjx9oIFSIiImkUTzeKRVjrhkhNiN7iIdwxQAGwn/f+Me/9m97767HRKI53zu2USLCVUu/e9hzRlWLYMPj3X3jxxSzEJCIiUvWoYHUCSnWlACsUuWABPPdc1uISEZHqI55kwzdY3YZI7YHyOv7tACzy3v8cMf3D4Hm7OPZfuTVvDrvsUmoIzJ49YeONNSqFiIhIiqhgdQIiu1IAsM8+0KaNCkWKiEhGxJNsmAx0ds61DU1wzrXB7hJMLmfdP4EmzrmtIqbvETz/FmeclVthIbz3ng0rFahRA4YMsZYNi8pr/yEiIiLlUcHqBA0eHDEqRV4eHHMMTJsGP0feBxIREUmteGo23IcVc5zknLsY6yN5OTAXuCe0kHOuNfAzMMZ7PyaY/DBwJvCSc+5KrI9kJ6y/5CfY3YjcV1ho/R+nTYODDvpv8tChcPPN8Oyzdm4XERGRpGW0YHU6i1VDZoqG1qrlaNCgC7feuoD8/O8AqL3NNuyZl8ecUaOYOWJEWvefKSrAmjo6lqmjY5k6Opapk+ljWW6ywXu/LMj+3wQ8ijU1fB2r/rw0bFEH1CCstYT3fpZzrjMwGivitCGWpLgXuNJ7vy5FryO79twTGjSwug1hyYZOnaBdOxg3TskGERGRFMhYwep0FquGzBUNHTgQJk3amC5dNrZRKQAefZTWr79O64cfhlq10h5DuqkAa+roWKaOjmXq6FimTqaPZTzdKPDez/HeD/TeN/LeN/TeD/Dez4pYZpb33nnvR0dM/9Z7P9h739J7X897v7X3/mzvfdXpXFC7Nuy9tyUbfMl1kHNWKLKoyAatEBERkaSpYHUSSnWlACsUOW8evPBCtsISEZFqIK5kg8ShsBBmzYIff1xv8tChln94/PHshCUiIlJFqGB1EvbZBxo3jhiVYt99YdNNVShSRETSSsmGVCkstOeIITDbtYPddrOuFCIiIpI0FaxOQu3a0L8/TJwYNipFzZpw9NE2ktacOdkMT0REqjAlG1KlbVvYaqtSQ2CCtW747DOYMSMLcYmIiFQN9wGzsILV/Z1z/YBJRClY7Zxb45wbFbbuw8C/WMHqI51zPZ1z5wDXU5UKVscweLANmPXqq2ETQ8WkHnwwKzGJiEjVp2RDKhUWWoGGlSvXm3zooTba1Pjx2QlLREQk1wXDU/YCfsAKVo8DZgK94ilYDXQGPscKVr8EjMAKQPauMgWrYwh1pXjqqbCJbdpA796WbFi7NkuRiYhIVaZkQyoVFkJxMbz99nqTN9kEevWyZIOPVkdbREREyqWC1cmpXRsGDIjoSgFWKHLu3FJdQEVERFJByYZU6tnThpCKctIeNgx++QU++CALcYmIiEi1NmhQlK4U/frBRhupUKSIiKSFkg2p1KABdOsWNdlw0EFQp466UoiIiEjmRe1KUbs2DB8Ozz8Pf/yRpchERKSqUrIh1QoL4csvS520N9gADjwQnngC1qzJUmwiIiJSLcXsSnHssVaz4eGHsxOYiIhUWUo2pFpoCMypU0vNGjoU/voLXn89wzGJiIhItRe1K8XWW0OPHtaVYl2VrpMpIiIZpmRDqu24I7RoEXUIzP32sxYO48ZlIS4RERGp1qJ2pQArFDlzJkyblo2wRESkilKyIdXy8qBPH7ttEDGUVJ06cMgh8NxzNmiFiIiISKaEd6VYb5TugQOhSRMVihQRkZRSsiEdCgthwQL49NNSs4YNg6VLrRaTiIiISCaFulK89lrYxLp14fDD7W7I/PlZi01ERKoWJRvSoU8fcC7qqBTdu8Nmm6krhYiIiGRemV0pVq+G//0vG2GJiEgVpGRDOmy0EeyyS9RkQ40aMGQIvPyyNX4QERERyZSYXSm23x46d7auFN5nKToREalKlGxIl8JCeO89a6sYYdgwG/7y6aezEJeIiIhUa1G7UoC1bvj+e3j77azEJSIiVYuSDelSWGgFIqNUdu7YEbbdFsaPz3xYIiIiUr3F7Epx6KHQsKEKRYqISEoo2ZAue+5pJ+woQ2A6Z60b3nwT5szJQmwiIiJSbcXsSlG/PgwdalmIRYuyFJ2IiFQVSjakS61a0KuX1W2I0vfxsMPs+fHHMxyXiIiIVHtldqVYsUKVrEVEpMKUbEinwkKYPRt++KHUrC23tDpMOpeLiIhIpoW6Ujz5ZMSMXXeFnXdWoUgREakwJRvSqbDQnqOMSgHWUvHLL+HrrzMYk4iIiFR7oa4UkyZFdKUAa93w5Zfw0UfZCE1ERKoIJRvSqW1baNcuZrJh8GAbClOFIkVERCTTYnalGDoU8vNVKFJERCpEyYZ0KyyEoiLr/xihRQtrxjh+vFoqioiISGbF7EqxwQZ2R2TCBPj332yEJiIiVYCSDelWWAjFxTHHrB42zMo6vPtuhuMSERGRaq3crhTLlqmStYiIJE3JhnQrKLCRKWJ0pRgwAOrVU6FIERERybzBg2N0pdhzT2jfXl0pREQkaUo2pFuDBtCtW8xkQ8OG0K+fNWFcvTrDsYmIiEi1tvfeMbpSOGetGz76CL74IhuhiYhIjlOyIRMKC+Grr+D336POHjYMFiyAqVMzHJeIiIhUa2V2pTj8cFtArRtERCQJSjZkQt++9hwjm1BYCE2balQKERERybyYXSmaNYOBA+Gxx6z+lIiISAKUbMiEHXeEjTeO2ZWidm0bfmriRFi6NLOhiYiISPUWsysFWFeKxYvh6aczHZaIiOQ4JRsywTno0wdefRXWro26yNChdtNg8uQMxyYiIiLVWpldKQoKYKut1JVCREQSpmRDphQWWmGGTz6JOrtbN2jZUqNSiIiISOaFulK8+mrEDOfg2GNtCO8ZM7ISm4iI5CYlGzKld287YcfoSpGXB4cdZrPnz89wbCIiIlKthbpSPPVUlJnDh0PNmnD//RmOSkREcpmSDZmy0Uawyy4xkw1go1KsXRvjRC8iIiKSJrVrw0EHxehK0aKFjdP9yCNRZoqIiESnZEMmFRbC++9bO8UodtgBOnTQqBQiIiKSeYMGxehKAVYocsECq2YtIiISByUbMqlvX2u68PrrUWc7Z60b3nkHZs3KbGgiIiJSvZXZlaJ3b2jVSoUiRUQkbko2ZFLnztCwYZldKQ47zJ4nTMhQTCIiIiKU05WiRg045hi7YfLzz1mJT0REcouSDZlUq5bdNpgyBbyPukibNtC1q41KEWMRERERkbQosyvF0UdbResHHsh4XCIiknuUbMi0wkKYPRu+/z7mIkOHwjffwJdfZjAuERERqfbK7Eqx+eaw337w0EOwenWmQxMRkRyjZEOmFRbacxldKQYPthGmVChSREREMinUlWLixBgDT4wYAX/+CS++mOnQREQkxyjZkGlbbAHt2pWZbNhwQ8tJTJgA69ZlMDYRERGp9gYNgiVLYnSl2G8/2HRTFYoUEZFyKdmQDYWFUFQEK1bEXGToUJg7F95+O3NhiYiIiOy9NzRpEqMrRc2acNRR8MordqEiIiISg5IN2dC3LyxfXmYmoX9/yM+3QpEiIiIimVK7NgwYUEZXimOOsaaXDz6Y4chERCSXKNmQDQUFdiYvoytF/fp2on/qKVi1KmORiYiIiJTdlWKLLaB3bxuVYu3ajMcmIiK5QcmGbKhfH7p1KzPZADBsGCxaZC0VRURERDKlzK4UYIUi586FqVMzGpeIiOQOJRuypbAQvvoKfvst5iK9e1uxSI1KISIiIplUbleK/v1ho41UKFJERGJSsiFbQkNglnFHoFYtGwZz8mT4998MxSUiIiJCOV0pateGI4+E55+3oTBFREQiKNmQLTvuCBtvXG5XiqFDrZbkxImZCUtEREQE4uhKceyxsGYNXHIJtGkD06dnMjwREanklGzIFuegTx+7XVBGcaUuXez8rVEpREREJJPK7UqxzTZ28+SBB2D2bDjgACUcRETkP0o2ZFPfvrBwIXzyScxFnIPDDoPXXoN58zIYm4iIiFR7gweX0ZVi+nT47jvw3v5fXKyEg4iI/EfJhmzq3duyCXGMSrF2LTz5ZIbiEhEREaGkK0Wpa5Dp0y2xEDk+txIOIiISULIhmzbcEHbdtdxkQ4cO1kpRXSlEREQkk2rVsq4UkyZFdKU46ihLLERTXGzzRUSkWlOyIdsKC+H99+Gff8pcbNgw+OAD+PnnzIQlIiIiAjG6Ujz0EOTnR18hP9/mi4hItaZkQ7YVFlofiddfL3OxIUPsefz4DMQkIiIiEojalaJnT3jhhdIJh9q1bXrPnhmNUUREKh8lG7Ktc2do2LDcrhStWkH37taVIlSHSURERCTdYnaliEw45OXZwh06ZCNMERGpZJRsyLZateyWwZQp5WYRhg2D77+Hzz7LUGwiIiIilDEqRSjh0Lo1PPigFYw877ysxCgiIpWLkg2VQd++MGeOZRLKcMghlptQVwoRERHJpJijUoAlHGbNgiOPhDPPhIcfhnfeyXCEIiJS2SjZUBkUFtpzOV0pmjaFffeFCROszIOIiIhIJsTsShHp4oth883hpJNgzZpMhSciIpWQkg2VQZs2sPXW5SYbAIYOhd9/hzffTH9YIiIiIiGhrhRTp5axUIMGcNNN8MUXcNddGYtNREQqHyUbKovCQigqghUrylzswAPtPD5uXGbCEhEREYGSrhRPPVXOggMHQp8+1srhzz8zEpuIiFQ+SjZUFoWFsHw5vPVWmYvl58NBB8HTT5fTjFFEREQkhWrVsmuQcrtSOAe33WbXNeeem7H4RESkclGyobIoKLCxqePoSjFsGCxeDC+9lP6wREREREIGDYqjKwVY99BzzoFHH1XfTxGRakrJhsqifn3o1i2uZMPee0Pz5hqVQkRERDIr7q4UABdeCK1aWbHI1avTHpuIiFQuSjZUJn37wtdfw2+/lblYzZpw6KHw/PPWwkFEREQkE+LuSgF2I+WWW+za5vbbMxKfiIhUHnElG5xzLZ1zTzvnFjvnljjnnnXOtYp3J8657ZxzTznn/nbOLXfOfe+cOy35sKuo0BCY5bZNtFEpVq6EZ59Nc0wiIiIiYeLuSgHQv7+N233ppTacloiIVBvlJhucc/nANGBb4EjgcKAdMN05Vz+O9TsBHwB1gGOB/YAbgBrJh11F7bADbLJJXF0p9tgD2rbVqBQiIiKSWQl1pXAObr0VVq2yGg4iIlJtxNOyYQTQFhjgvZ/ovZ8E9ANaA8eVtaJzLg94BHjde98vWH+69/5e7/2NFQ2+ynHOhoqaOhXWri130eHD4fXX4b33MhOeiIiISEJdKQC22grOO8+KTU2fnvb4RESkcogn2dAPeN97/1Nogvd+JvAO0L+cdQuA9oASC/EqLIRFi+Djj8td9IwzYLPN4JRTys1NiIiIiKRMQl0pAM4/H9q0UbFIEZFqJJ5kQwfg6yjTv8ESCWXpFjzXdc6975xb7Zz7yzl3q3OuXiKBVhu9e1uzhTi6UjRoANddB598Ag88kIHYREREREiwKwVAvXrWnWLGDCsaKSIiVV7NOJZpCiyKMn0h0KScdTcNnp8AbgfOBzoBY4CWwEHRVnLOjQRGArRo0YKioqI4wozP0qVLU7q9dNhl663xTz7JZ927l7vsxhvDjjt25Jxz6rPxxh/QqNGaDERocuFY5gody9TRsUwdHcvU0bGUqibUleLpp60rRZ06cax04IFwwAEwejQMGQKbb57uMEVEJIviSTYA+CjTXBzrhVpOPOa9HxX8u8g5VwO42jnX3nv/bamdeX8vcC9Ap06dfEFBQZxhlq+oqIhUbi8tBg2CsWMp6NgRGjcud/FHH4Wdd4apU7tldGSpnDiWOULHMnV0LFNHxzJ1dCylKho0CB580LpSHHhgnCvdeiu0bw9nnQVPPJHW+EREJLvi6UaxCGvdEKkJ0Vs8hFsQPL8aMT3Uw69jHPuvfgoLrQjD66/HtfiOO8KJJ8Jdd8EXX6Q5NhERERGS6EoBsMUWcMEF8OST8NpraYtNRESyL55kwzdY3YZI7YFSrRKirAulW0aEWkWsi2P/1c8ee0CjRnHVbQgZMwaaNrVikT5aOxQRERGRFEp4VIqQc8+18btPPtmGxBQRkSopnmTDZKCzc65taIJzrg3QNZhXlpeBlUDfiOmFwXP5Qy5UR7Vq2e2CV16JO3PQpAmMHQtvvQUTJqQ5PhERkSxwzrV0zj3tnFvsnFvinHvWOdcqgfW3c8495Zz72zm33Dn3vXPutHTGXNUlPCoFQN26cNtt8P33cNNNaYtNRESyK55kw33ALGCSc66/c64fMAmYC9wTWsg519o5t8Y5F6rNgPd+ATAWON45d5Vzbh/n3PnAKOCR8OE0JUJhIcydC999F/cqRx8NnTrB2WfDv/+mMTYREZEMc87lA9OAbYEjgcOBdsB051z9ONbvBHwA1AGOBfYDbgBqpCvm6iDUleLJJxNccb/9YMAAa5o5Z046QhMRkSwrN9ngvV8G9AJ+AB4FxgEzgV7e+6VhizrshB25zTHAucBg4CXgBOA6YERFg6/SCoPGHwl0pcjLg9tvhz/+gCuuSFNcIiIi2TECaAsM8N5P9N5PAvoBrYHjylrROZcHPAK87r3vF6w/3Xt/r/f+xrRHXoXVqgVDh1qtx58SvYV0003WgvPMM9MSm4iIZFc8LRvw3s/x3g/03jfy3jf03g/w3s+KWGaW995570dHTPfe+xu991t572t771t770d571en7mVUQW3awDbbJJRsACv3cNRRdv7+/vv0hCYiIpIF/YD3w1tFeu9nAu8A/ctZtwCrNaXEQhpcfDHUrg3nn5/gim3awEUXwTPPJHy9IyIilV9cyQbJksJCeOMNWLEiodXGjoV69eC001QsUkREqowOwNdRpn+DJRLK0i14ruuce985t9o595dz7lbnXL2URlkNbbwxnHee5QzefjvBlc8+G9q1swrXCVWZFBGRyq5mtgOQMhQW2njUb70FvXvHvVqLFnDZZXDGGTB5MvQv736PiIhI5deU6ENuL8SG4y7LpsHzE8DtwPlAJ6yrZ0vgoMgVnHMjgZEALVq0oKioKKmgY1m6dGnKt5lNnTrlseGGezBixEruuONT8hK4ndXk2GPZ6bzz+OWkk5jzf/+X8L6r2rHMJh3L1NGxTB0dy9TJ9LFUsqEy69HD2iW+8kpCyQaAk06C+++3hEOfPtbSQUREJMdFa6/nokyLFPrp+5j3PlTIusg5VwO42jnX3nu/3nDe3vt7gXsBOnXq5AsKCpIMObqioiJSvc1su+46OOqoOvz1VwFDhiSwYkEBfPghbcePp+3FF1v3igRUxWOZLTqWqaNjmTo6lqmT6WOpbhSVWf36sNdeSfVjrFXLRpWaOdNO/iIiIjluEda6IVITord4CLcgeH41YnpowMaOyYclIUccAR07Wu2GBHuAwo03gnN2l0RERKoEJRsqu8JC+OYb+PXXhFft2dPGvx47FmbPTkNsIiIimfMNVrchUnvg2yjTI9eF0i0jQq0i1lUgLgnk5cENN9g1x623Jrhyq1ZwySUwcSK89FI6whMRkQxTsqGyCw2BOXVq2cvFcP31dqPgrLNSGJOIiEjmTQY6O+fahiY459oAXYN5ZXkZWAn0jZgenGT5OEUxVnu9esH++8OVV8Lffye48pln2khcp56aRNMIERGpbJRsqOx22AE22STpIaFatSoZVeq111Icm4iISObcB8wCJjnn+jvn+gGTgLnAPaGFnHOtnXNrnHOh2gx47xcAY4HjnXNXOef2cc6dD4wCHgkfTlMq7rrrYNkyK1adkNq14fbb4eef4dpr0xKbiIhkjpINlZ1z1rrh1Vdh7dqkNnHWWdC2rd0oWL06xfGJiIhkgPd+GdAL+AF4FBgHzAR6ee+Xhi3qgBqUvsYZA5wLDAZeAk4ArgNGpDfy6me77WDkSLj7bvj++wRX3mcfGDzY+oD+8kta4hMRkcxQsiEXFBbCokXwcXKtPOvWhZtvhhkzrGikiIhILvLez/HeD/TeN/LeN/TeD/Dez4pYZpb33nnvR0dM9977G733W3nva3vvW3vvR3nvlYZPg9GjbSSs885LYuUbboAaNeD001MclYiIZJKSDbmgd29r4fDKK0lv4oADYL/97OT/55+pC01EREQkUvPmcMEFMGkSvPFGgitvvrldsDz/vD1ERCQnKdmQC5o1g06dkq7bAJaruPlmWLkyybsMIiIiIgk4/XRo2dLqPq5LdLyP006D9u2tD+jy5ekIT0RE0kzJhlxRWAgffGDdKZLUrp2d8P/3P3j33RTGJiIiIhKhXj246ir49FMYPz7BlWvVsmKRs2bB1VenIzwREUkzJRtyRWGh3RZ4/fUKbeaii2CzzeCUU5KuNykiIiISl6FDrXHmhRcm0UChZ0847DC45hr4SQOGiIjkGiUbckXnzrDBBhXqSgHQoAFcf73dZbj//hTFJiIiIhJFXp5dd8ydCzfdlMQGrr/ehsQ89VTwPuXxiYhI+ijZkCtq1oS997ZkQwVPtoceCj16WCuHhQtTFJ+IiIhIFD16QP/+NprlvHkJrrzppnDZZfDyy1ZtUkREcoaSDbmksNBuDXz3XYU24xzcequVf7jkkhTFJiIiIhLDtdfCihU2yETCTj4Ztt/eikYWF6c6NBERSRMlG3JJYaE9V2AIzJAdd4STToK774bPP6/w5kRERERi2nprOOEEuPde+PbbBFeuVQvuvBPmzLGKkyIikhOUbMglrVvDNttUuG5DyGWXQdOmVixS3SBFREQknUaNgoYN4dxzk1h5r73g8MPhuuvghx9SHpuIiKSekg25prAQ3ngjJWNON2li/SfffjuJIalEREREErDhhlYv6sUXkxxc69proW5d3SUREckRSjbkmsJC6/T41lsp2dzRR8Nuu8E558C//6ZkkyIiIiJRnXIKtGkDZ52VxBDcG28Ml18OU6fCs8+mIzwREUkhJRtyTY8eUKdOyrpS5OXBbbfBH3/Y+VtEREQkXerWtVaVX3wBjz6axAZOPBF22glOPx2WLUt1eCIikkJKNuSa+vWt32KKkg0Ae+wBRx0FN98M33+fss2KiIiIlHLooXbtcdFFSeQLataEO+6AX3/VXRIRkUpOyYZcVFgI33xjJ9oUGTsW6tWDU09VN0gRERFJH+fghhvg99/tOWFdu8Lw4bbyjBmpDk9ERFJEyYZcFBoCM4WtG1q0gDFjrBvkpEkp26yIiIhIKV27wsCBVvPxjz+S2MA110CDBioWKSJSiSnZkIu23x423TSlyQawbpAdOsAZZ6RksAsRERGRmK65BlatsiExE9a8OVx5Jbz+OhsVFaU6NBERSQElG3KRc9CnD7z8MrRuDdOnp2SztWpZschZs2wYaxEREZF02XJLOPlkePBB+OqrJDZw3HGw885sdeedGlJLRKQSUrIhV22+OSxdCnPmwAEHpCzh0LMnDB5sNRxmzUrJJkVERESiuvhi2GADOPvsJFauUQPuvJM6f/9tfUFFRKRSUbIhF02fvn5FpeLilCYcrr/ehsQ866yUbE5EREQkqqZN4ZJLrGZUUr1DO3fmj/32syG1vvkm1eGJiEgFKNmQa6ZPt8RCZFGFFCYcWraECy+EZ5+FV1+t8OZEREREYjrpJOtScfbZsHZt4uv/MnIkNGxofTJULFJEpNJQsiHXHHWUJRaiKS62+Slw1ll24j/1VCveJCIiIpIOtWvD1VfD119b/YZErd5gA+v/WVQEEyakPD4REUmOkg255qGHID8/+rz8fJufAnXrWovE776zopEiIiIi6TJwoA2HecklVpIqYcceC5062d2SJUtSHp+IiCROyYZc07MnvPBC6YRDnTo2vWfPlO3qgANgv/3gssuSHANbREREJA7OWTmqefPg2muT2EBQLJJ582D06FSHJyIiSVCyIRdFJhycg2bN7JZAit18M6xcCeefn/JNi4iIiPxnjz3g0EOtUPWvvyaxgd12g5Ej4dZbkxxLU0REUknJhlwVSji0bm0dHX//He64I+W7adfOWiT+73/w7rsp37yIiIjIf8aOtSKRl1yS5AauvBIaN7aqkyoWKSKSVUo25LKePWHWLDj3XCgshMsvh4ULU76bCy+EzTazIs/JVIkWERERiccWW8Bpp8Ejj8DnnyexgWbN7CbMW2/BY4+lOjwREUmAkg1VxfXXw+LFMGZMyjfdoIFt/rPP4P77U755ERERkf9ceCE0bWotK5NqnHD00dYn4+yz4Z9/Uh2eiIjEScmGqmL77a0S8x13wA8/pHzzhx4KPXrYBcCCBSnfvIiIiAhgvSAuvRSmTYOXXkpiA3l5Vixy/nzbkIiIZIWSDVXJmDE2ZuV556V8087ZEJiLF1egH6WIiIhIHI4/3upGnXMOrFmTxAZ22QVOOAFuvz3J/hgiIlJRSjZUJS1awAUXwMSJ8MYbKd/8DjvAiSfCPfdYlwoRERGRdKhVy4bAnDED7rsvyY1ccYX1xzjpJFi3LqXxiYhI+ZRsqGrOOANatoQzz0zLiXXMGKu9dMopKvIsIiIi6dO/P3Tvbj0hlixJYgNNmljG4t13bVgtERHJKCUbqpp69WzcqE8/hXHjUr75xo1t8++8A6+91iLl2xcREREB68J5ww1WeuHqq5PcyJFHQpcuNnLXokUpjU9ERMqmZENVdNhh0KmTVXMsLk755o86CnbbDe6+u21ydxpERERE4tCpEwwbBjfdBHPmJLGBvDwrnr1gAVx8ccrjExGR2JRsqIry8uDGG+HXX+05DZu/7TZYuLAOl1+e8s2LiIiI/Oeqq+z5oouS3EDHjla34a674JNPUhWWiIiUQ8mGqmqvveDgg63d4Z9/pnzze+wB++77BzffDN99l/LNi4iIiADQqpWVpHrsMfj44yQ3MmYMNG+uYpEiIhmkZENVds01sGpV2saqHDHiF+rXh9NOU7FIERERSZ/zz4eNNoKzzkrymqNxY7juOvjgA3jooVSHJyIiUSjZUJVttRWcfDI8+CB89VXKN9+kyWouuwymToVJk1K+eREREREAGjWCyy6DN9+EyZOT3Mj//R906wbnnWc1HEREJK2UbKjqLr4YNtigArcCynbSSbD99ta8cfnylG9eREREBIARI2DbbW1gidWrk9iAc3DnnfDPPxUoACEiIvFSsqGqa9rUBqh+9VV45ZWUb75mTSsWOWuWDWUtIiIikg41a1pPiB9+gLvvTnIjO+wAp54K994LH32U0vhERGR9SjZUByecYF0qzj4b1qxJ+eYLCmDwYKtFOWtWyjcvIiIiAsD++0OvXtal4p9/ktzI6NHQogWceCKsXZvC6EREJJySDdVB7drW7ODbb+H++9Oyi+uvtyExzzwzLZsXERERwTm44QZYuLBkSMyENWpkG/n447RdF4mIiJIN1ceAAdC9O4waBUuWpHzzLVta98fnnrMeGyIiIiLp0LEjHHEE3HILzJyZ5EYOO8yaZl5wAfz9dwqjExGRECUbqovQrYD5862/QxqcdRZsuaV1hVy1Ki27EBEREeHKK6FGDcsVJMU5uP12+PffCmxERETKomRDddKpExx+ONx4I8yenfLN16kDN98M330Ht96a8s2LiIiIALDZZlaK6okn4NtvGyW3kQ4d4PTTrSvF+++nND4REVGyofq58krL5l94YVo2f8ABVrzpssvgjz/SsgsRERERzjnH6jzeeeeWyY/uPWoUbLqpjeWtYpEiIimlZEN107Kl9XcYPx4+/DAtu7j5ZutGcd55adm8iIiICA0bwuWXwzffbMAzz1RgIzfeCJ9+Cvfck9L4RESqOyUbqqPzzrNbAWeeSfK3AmLbaivLZzz6KLzzTso3LyIiIgLA0UfDFlss5bzzKlAvavBg2Htvq3T9118pjU9EpDpTsqE6Ct0KeOcdePbZtOziootg883h5JPVKlFERETSo0YNOP74X/jlF7jjjiQ3EioWuWwZnH8+TJ8ObdrYs4iIJE3Jhurq6KNhhx3g3HNh5cqUb75+fbj+evj8c7jvvpRvXkRERASA3XdfSJ8+dh9l4cIkN7Ltttbi86GHYN99rZD2AQco4SAiUgFKNlRXNWpYNqBCtwLKNniwDWF90UWwYEFadiEiIiLC9dfD4sVwxRUV2Ej37tbKIXQTprhYCQcRkQpQsqE669MH+va1WwFpyAY4Z0NgLl4MF1+c8s2LiIiIANZY86ijrDfETz8lsYHp02HQoNK1rJRwEBFJmpIN1d3118OSJTBmTFo2v8MONprUPffAZ5+lZRciIiIiXH451K5tZRcSdtRRlliIprjY5ouISEKUbKjuOnSAESPgzjvhhx/SsovLLoMNN7RikWkY/EJERESETTaxUlTPPJPEaFgPPQT5+dHn5efbfBERSUhcyQbnXEvn3NPOucXOuSXOuWedc60S3Zlz7gLnnHfOvZ14qJI2l10G9erZGToNGjeGsWPh3XfhscfSsgsRERERzjoLNt3UnhO6wdGzJ7zwQvSEw5VX2nwREUlIuckG51w+MA3YFjgSOBxoB0x3ztWPd0fOubbARYAGMK5sWrSACy6ASZOgqCgtuzjqKNhtN8tnLFmSll2IiIhINVe/vhWJ/OADeOKJBFeOTDjUqwctW8KoUfDxxymPVUSkqounZcMIoC0wwHs/0Xs/CegHtAaOS2BfdwHjgBkJRynpd/rp0KqV3QpYty7lm8/Ls6JNf/5pfSpFRERE0uGII2Cnnax2w4oVCa4cSji0bg0vvgjvvWd9QQsL4euv0xKviEhVFU+yoR/wvvf+v9q+3vuZwDtA/3h24pwbCuwCXJBMkJIB9epZX4dPP01bX4fdd4ejj4abb4YZSjmJiIhIGoRG9549G267LYkN9OwJs2bZ82abwWuvQZ060Lt3kkNdiIhUT/EkGzoA0VK53wDty1vZOdcEuAk413u/MLHwJKOGDLG+DhdeGLsicwWNHWtNHE87TcUiRUREJD322Qf228/KLfz9dwU31ratJRxWr7YNz52bkhhFRKq6mnEs0xRYFGX6QqBJHOtfB/wAPBxvUM65kcBIgBYtWlCUwjoCS5cuTen2qpoNDj+cnU89lZknn8zsI44oc9lkj+Xhh2/G7be344orvmavvSp6BVA16H2ZOjqWqaNjmTo6liKZd911NgT3mDFw660V3Fj79jB1qrV22GcfeOstaN48JXGKiFRV8SQbAKLdg3blreSc2ws4AtjF+/jvY3vv7wXuBejUqZMvKCiId9VyFRUVkcrtVTkFBfDGG2zx5JNsceWVNo5UDMkey27drA7lAw9sz1lnxR5pqjrR+zJ1dCxTR8cydXQsRTKvfXsb3fuuu2z47a23ruAGd9kFXnoJ+vSxx/Tp0CSe+24iItVTPN0oFmGtGyI1IXqLh3D3AA8AvzrnGjvnGmMJjhrB/+skEqxkyDXXwKpVcMkladl8zZrWh3L2bLj22rTsQkRERITLLoO6dVM4unfXrjBxohWf2ndf+PffFG1YRKTqiSfZ8A1WtyFSe+DbctbdDjgeS0qEHl2BzsG/T4g7UsmcLbeEU06BBx+EL75Iyy4KCuDQQy2vMWtWWnYhIiIi1Vz46N5vvJGijfbubeNqfvwx9O+fxJAXIiLVQzzJhslAZ+dc29AE51wbLGkwuZx1e0Z5fIEVnOwJPJ14yJIRF19sTQPPPjttlRyvv96GxDzzzLRsXkRERITTT4fNN0/x6N4DBsDDD1u/0EGDrHikiIisJ55kw33ALGCSc66/c64fMAmYi3WTAMA519o5t8Y5Nyo0zXtfFPkA/gEWB///NYWvRVKpSRO49FKrvvzyy2nZxeabw0UXwXPPWc0lERERkVTLz4erroJPPoHx41O44f/7P7jzTnjhBTj8cFi7NoUbFxHJfeUmG7z3y4Be2IgSjwLjgJlAL+/90rBFHVAjnm1Kjjj+eGjXzlo3rFmTll2cdRZstRWceqqViRARERFJtWHDrL7jhRfC8uUp3PDxx1sBqieegOOO07jeIiJh4koMeO/neO8Heu8bee8beu8HeO9nRSwzy3vvvPejy9lWgfe+W/IhS8bUrm0n0Bkz4L770rKLOnXg5pvh++9TMCyViIiISBR5eXDDDTB3rl13pNQ551j30wcesL6hSjiIiABqhSDl6d8fevSwLhWLF6dlF/vvb4/LLoPff0/LLkREpApwzrV0zj3tnFvsnFvinHvWOdcqie1c4Jzzzrm30xGnVE4FBdCvH4wdC3/9leKNjxkDp51mmYzRo1O8cRGR3KRkg5TNObsVMH++nZ3T5OabrRvFqaemsHiTiIhUGc65fGAasC1wJHA40A6Y7pyrn8B22gIXAan+uSk54NprobjY7qGklHNw441w9NGWeLj++hTvQEQk9yjZIOXbdVc44gjLCKRpnMqttrKWDc88A8ceqxpLIiJSygigLTDAez/Rez8J6Ae0Bo5LYDt3YfWnZqQ+RKnsttnGyizcdx98W94A7onKy4N777XRKc45x/4tIlKNKdkg8bnySjuJXnhh2nZx3nl2p+Ghh+Coo5RwEBGR9fQD3vfe/xSa4L2fCbwD9I9nA865ocAuwAVpiVBywqWXQv36cO65adh4jRrw2GPWP/T441M8/IWISG5RskHiExqgesIE+OCDtOzCOevmOGYMPPqojSKVpkEwREQk93QAvo4y/RugfXkrO+eaADcB53rvF6Y4NskhG21kQ2+/+CK8/noadlC7Njz1lNW8OuIImDQpDTsREan8amY7AMkh550H999vlZbfTl9NrUsugVq14IILLNkwbpz9X0REqrWmwKIo0xcCTeJY/zpsGO+H49mZc24kMBKgRYsWFBUVxRVkvJYuXZrybVZXyRzLjh3zaNFid447bg333PMxNWqkPq4a55zDTn/+SYNBg/hq7FgW7bpr6neSYnpfpo6OZeroWKZOpo+lkg0SvwYN4PLLYcQIePppuzWQJuefbwmGs8+2hMPjj9uNAhERqdaijSnoylvJObcXcASwi/fxjUvovb8XuBegU6dOvqCgIIEwy1dUVESqt1ldJXssb7oJhg6FuXMLGD485WGZzp2hoICdRo2CV1+FLl3StKPU0PsydXQsU0fHMnUyfSzVjUISc9RRsMMOcN55uFWr0rqrs86ympTPPQeHHAIrV6Z1dyIiUrktwlo3RGpC9BYP4e4BHgB+dc41ds41xm641Aj+XyelkUpOGDIEdt/dulQsW5amnTRtakmGzTaD/faDzz5L045ERCofJRskMTVq2FCYM2ey+XPPpX13p50Gd9wBzz8PBx8MK1akfZciIlI5fYPVbYjUHihvXIHtgOOxpETo0RXoHPz7hNSFKbkiNLr377/bqJVp06IFvPYabLAB9OkDMzQQiohUD0o2SOJ694Z996X1o4/C33+nfXcnngj33AMvvQT9+8Py5WnfpYiIVD6Tgc7OubahCc65NljSYHI56/aM8vgCKzjZE3g6DfFKDujWzW5mXHMN/PFHGnfUqpUlHGrUgH32gZkz07gzEZHKQckGSc7111Nj+XIbOiIDRo6EBx+0logHHJDG5o4iIlJZ3QfMAiY55/o75/oBk4C5WDcJAJxzrZ1za5xzo0LTvPdFkQ/gH2Bx8P9fM/lCpHK55hrrqjlqVPnLVki7dnYhs3w57L03/PZbmncoIpJdSjZIctq35/cDDoC77oLvv8/ILo86Ch55BIqKrNvj0qUZ2a2IiFQC3vtlQC9sRIlHgXHATKCX9z78jOCAGugaR+K01VZw0kl2U+Orr9K8sx12gFdegfnzraXo/Plp3qGISPboRCxJmzV8ONSrB+eem7F9Hn44PPYYvPMO9O0LS5ZkbNciIpJl3vs53vuB3vtG3vuG3vsB3vtZEcvM8t477/3ocrZV4L3vls54JXeMGgWNGsE552RgZ7vvDi+8YF0pCgth8eIM7FREJPOUbJCkrW7SBC68ECZPhunTM7bfww6DCRPggw90jhYREZGKa9oULrkEpkyxR9r16AHPPgtffw3776/+oSJSJSnZIBVz+ulW9Oiss2DduoztdtAgePJJ+OQTq7O0qLxBz0RERETKcNJJ0LYtnH02rF2bgR3uuy+MHw/vvQcHHaQxvkWkylGyQSqmbl24+mobN/rRRzO664MOgmeegS+/tDpLCxZkdPciIiJShdSpY5c0X38N99+foZ0ecgg88IAVjhwyBFavztCORUTST8kGqbghQ6z/4YUXZrwZ4IEHwsSJ8O230KuX6iyJiIhI8g45xHo4nHqq/f7PiOHD4dZb7YLmqKMy2lJURCSdlGyQinMObrwRfv8dbrgh47vfd18rG/HDD5Zw+OuvjIcgIiIiVYBzVkph222hf394880M7fiUU+DKK2HcOOvP4X2Gdiwikj5KNkhqdO1qtwOuucaSDhnWpw+8+CL88gsUFMAff2Q8BBEREakCmja1Vg2tW1vtxg8+yNCOL7gAzjsP7r7bnpVwEJEcp2SDpM7VV1tfw0suycrue/WCl1+GOXMs4fDbb1kJQ0RERHJc8+bw+uvQooUNtf3ZZxnYqXMwdiyceCJcd521dBARyWFKNkjqbLmldXJ86CH44oushNC9uw1Z9ccf1udy7tyshCEiIiI5btNNLeHQsKG1oPzmmwzs1Dm47TY4/HC7eXPLLRnYqYhIeijZIKl10UXQpIkNhZml5n9du8LUqVYsskcPmDUrK2GIiIhIjmvdGqZNg1q1bKjtH3/MwE7z8uDBB23YrdNPt3+LiOQgJRsktZo0gdGj7VbASy9lLYzOnS2ERYss4fDLL1kLRURERHLYVlvBa6/BmjU21HZGbmLUrAkTJkBhIYwYAU8+mYGdioiklpINknrHHw9bbw1nn53V8aI7dbK7EUuXWsIhI3cjREREpMpp396KRv77ryUcMlIXqk4dGxqja1cYNswqYYuI5BAlGyT1atWCa6+F776D++7Laig772wJhxUrLOHw/fdZDUdERERyVMeOVhdq/nxLOMybl4Gd5ufD88/DTjvBwIEwfXoGdioikhpKNkh69OtnQ0JceiksXpzVUHbayc7Na9dawuHbb7MajoiIiOSo3Xe3BgZz50Lv3rBwYQZ2usEG8MorVoi7X78MjsUpIlIxSjZIejgHN9wACxbAVVdlOxq23x6KiiysggL46qtsRyQiIiK5aK+9YNIk+OEHK6mQkXsqG25o/ThatIB994Uvv8zATkVEKkbJBkmfXXaBI46Am2+GmTOzHQ3bbWcJh1q1oGdP+PzzbEckIiIiuWiffeCZZ2yk7/32s/pQabfpplapMj/fmlX88EMGdioikjwlGyS9rrwSatSACy7IdiQAbLMNvPGGnad79YJPPsl2RCIiIpKL9t/fBox4/33o3x+WL8/ATtu0sYSD95bxmD07AzsVEUmOkg2SXpttZqNSPPGEnY0rga22soRDo0ZW4OnDD7MdkYiIiOSigQPhkUesNtTAgbByZQZ2uu22MHWqDY2xzz7w558Z2KmISOKUbJD0O/dc2HhjOPNMy8RXAltsYQmHZs2sJeJ772U7IhEREclF//d/cM898PLLcNhhsGZNBnbasSO89BL88YddyCxYkIGdiogkRskGSb8GDeCKK+wX/VNPZTua/7RubQmH5s2hTx94++1sRyQiIiK5aMQIuOUWeO45OPJIGwEr7fbc0ypV/vijFY1csiQDOxURiZ+SDZIZw4fDjjvC+efDihXZjuY/m29uCYfNNoO+fe3fIiIiIok69VS4+moYPx6OOw7WrcvATvfe227kfPopHHggFBdnYKciIvFRskEyo0YNGwpz5ky47bZsR7OeTTe1USpat7YbA6+/nu2IREREJBeddx6MGgUPPACnnZah3qMHHgiPPgpvvQWHHAKrVmVgpyIi5VOyQTJnn31sfKgrroD587MdzXo23tiKO221FRxwAEyZku2IREREJBeNHm21sW+/3ZIPGUk4HHYY3HuvFY4YNixDhSNERMqmZINk1nXXwbJlcNll2Y6klObNYdo0K/Lcr5/VXRIRERFJhHNw7bVw4ol22TNmTIZ2fOyxcOON8PTTVkQiI/04RERiU7JBMqt9exg5Eu6+G777LtvRlLLhhtaNYocdYMAAmDw52xGJiIhIrnHOeo0edZS1dLj22gzt+IwzbIcPPwynn27NKqZPhzZt7FlEJIOUbJDMGz0a6te3ITEroaZN4bXXYOedbczsZ5/NdkQiIiKSa/Ly4L77YMgQ605x++0Z2vGoUTbc+G232bicBxwAs2fbsxIOIpJBSjZI5jVvDhdeCM8/b/0WKqHGjWHqVNhtNxg8GJ58MtsRiYiISK6pUQP+9z9rLXnKKVY4Mu2cg+uvh/33t6ExQiNUFBcr4SAiGaVkg2THaafZ8A9nnZWhwagTt8EGViiySxeruzR+fLYjEhERkVxTqxY8/rgNsT1iRIauJ4qKoicVlHAQkQxSskGyo25dG4z6888t5V9JNWxohZ27d4fDD6/UoYqIiEglVaeOdcssKIAjjshAF82jjipp0RCpuNjmi4ikmZINkj2HHgp77AEXXWQjVFRS9evDiy9Cr14wfDg8+GC2IxIREZFcU6+eFZ7efXer45DWUa8eegjy86PPq1nT6jmIiKSZkg2SPc7ZEE1//GF9Cyux/Hy7QCgshGOOgXvuyXZEIiIikmsaNLAWkzvuCAcfbCNgpUXPnvDCC6UTDjVrWvfV44+H555L085FRIySDZJdXbrAoEE2JtRTT1XqoZnq1bPz8v772zn6jjuyHZGIiIjkmlBNqHbtoF8/ePvtNO0oMuGQn2/Vrz/4ADbayLIdBx8Mv/2WpgBEpLpTskGy7+qrYdUqq8JYyYdmqlvX+ln27w8nnwy33JLtiERERCTXNGtmw2xvvjnstx989FGadhRKOLRubc89e9pQWx99BNdcY80sttsO7rwT1q1LUxAiUl0p2SDZN3u2PYdGpajklZJr17ZGGAMHwumnV/oeICIiIlIJtWhh3Sg23NC6aX7xRZp21LMnzJplzyG1asG558LXX1v9rJNOgr32In/mzDQFISLVkZINkl3Tp1tiYc2a9adX8oRDrVowYQIMHgznnANjx2Y7IhEREck1m28O06ZZMerevWHGjAwHsOWW1rXikUfg++/pNHIkjBoFK1ZkOBARqYqUbJDsyuGhmWrVgnHjYOhQuPBCGDMm2xGJiIhIrmnTxhIONWrA3nvDTz9lOADnbDzOGTP4q2dPuPxy6NgR3nwzw4GISFWjZINkV1lDM9WpY/MrsZo14X//gyOPhEsvtZsB3mc7KhEREckl7dpZDYdVqyzhMGdOFoLYaCO+u/BCq165ahX06AEjR8KiRVkIRkSqAiUbJLtiDc3knHWt+PXX7MSVgBo14MEHbUjMyy+3Vg5KOIiIiEgiOnSAV1+FxYuhVy/4/fcsBdKnD3z1lfUTffBBKyD51FO6uBGRhCnZINkXbWimiRMto37EEXDJJZW+QnJeHtx7rw2JefXVdn7WOVlEREQSsfPO8MorMG8e7LMPzJ+fpUDq17dhyT/6CDbbzIpU9esHc+dmKSARyUVKNkjlEDk0U79+drY95hi44gorjLB8ebajLFNeno0cdfLJcMMNcMYZSjiIiIhIYjp3tkuhWbOsaGRWezHsvDN88IFd2EybBu3bw223lYwgJiJSBiUbpPKIHJqpVi247z7LrD/5pLUpnDcvqyGWxzm49VZLNNxyCwwZYi9JREREJF49elgjzxkzoG9fWLIki8HUrAlnnmnDZHbtCqeeas9ffZXFoEQkFyjZIJWbc9Yn4ZlnbADqPfaAb77JdlRlcs5uAFxxBUyeDFtvbeflSp4nERERkUqkTx94+mn49FMbDXzZsiwHtMUW8PLLNhTXL7/ALrtYoapK3vJURLJHyQbJDQcdZEMwrVoFXbpYpeRKzDm46CL48UcYPty6V2y5JVx8sRV+EhERESnPgQfab/t33oEBA2DFiiwH5Jx1bZ0xA/7v/2DsWNhxR+tiISISQckGyR2dOlm/wS22gP33h7vuynZE5dp8cysc+e23dlfiyist/GuvheLibEcnIiIild3gwTYS+GuvwSGH2H2XrGvWzIJ6/XUrULX33nD00bBgQbYjE5FKRMkGyS0tW8Jbb1kHxhNPtOIIOVCkaOut4fHHrSlk585w3nk2pvY998Dq1dmOTkRERCqzI46Au++GF1+EYcNsdPBKoVcvq91wwQXw6KM2TOaECaqQLSKAkg2Sixo2hEmT4PTT4eabrV3hv/9mOaj47LwzvPSS9QjZYgsbKrN9e3j99eaVfXRPERERyaLjjoObbrI6DkcdVYlGBa9XD666Cj75BNq0sW4W+++vCtkiomSD5KgaNeyMe8cdVqxor71yauznvfayBhovvAD5+XDFFe3ZZRe7Y6GbASIiIhLN6adbl8zHHrMbFpXqmmHHHeG992w4rjffhA4d7Fqt0jTDEJFMU7JBctuJJ9ov9l9+sZEqPvkk2xHFzTlL/H/2GVx00bcsXWp1Hbp3t0SEiIiISKQLL7Qi1PfdZ8mHSpVwqFHDhuD69lsbyvzMM63/6GefZTsyEckCJRsk9/XtC+++C7VrW5OB557LdkQJycuDffb5ixkzrOblzz9bwmG//eDzz7MdnYiIiFQ2l19uZatuvdWSD5Uq4QDQqhU8/zw88QT8+ivsthuce66qY4tUM3ElG5xzLZ1zTzvnFjvnljjnnnXOtYpjvU7OuXudc98554qdc3Occ+Occ1tUPHSRMNtvbyNV7LgjDBwI111XCc+8ZatVy5pE/vQTXHMNvP++1XgYMsSG0BQREREBax15ww123XD11da1otJxzobSmDHDikxcd51dr736arYjE5EMKTfZ4JzLB6YB2wJHAocD7YDpzrn65aw+BOgA3ArsC5wP7AJ87JxrWYG4RUpr0QKmT4dBgyx7PnJkTg71kJ9v4f/yizWTfP55K+583HHw22/Zjk5EREQqA+esdNURR8All1jyoVJq0sT6fBQV2Z2VPn0s6L//znZkIpJm8bRsGAG0BQZ47yd67ycB/YDWwHHlrHuN976r9/5O7/0b3vvxQF+gSbBdkdSqV8+GXLr4Yrj/futisWhRtqNKSuPGcMUVlnQ48UQbznqrreCcczSMtYiIiFhXzAcesAYEZ58Nd96Z7YjK0KMHfPGFXaNNmADbbmvDZeZYS1QRiV88yYZ+wPve+59CE7z3M4F3gP5lrei9nx9l2mxgPrBZYqGKxCkvzzozPvKIVVrcc08rhJCjWrSwPpk//ACHHmp3Ltq2tZe4dGm2oxMREZFsqlnTRqfo1w9OOgkefjjbEZWhbl27gPnsM9h6a2vhUFhod1ZEpMqJJ9nQAfg6yvRvgPaJ7tA5tx3QHJiR6LoiCTniCHjtNZg/30aqePvtbEdUIW3a2AXEV19Br14wapQlHW65BVauzHZ0IiIiki21asGTT1oPhWOOgccfz3ZE5dh+e7suu/12K1K1/fZw7bUaJlOkiqkZxzJNgWjt0Bdi3SHi5pyrCdyNtWx4oIzlRgIjAVq0aEFRUVEiuynT0qVLU7q96ixXjmW9W25hhwsvpG6vXnx/zjnM69072yGVkuixPO006N27Ifff35bTT2/C2LErGD58Fr17/0mNGumLMxfkyvsyF+hYpo6OpYikW506NiDXfvvB//2fNSIYMCDbUZUhL8+aYvTvDyefDOedZ90r7rsPOnXKdnQikgLxJBsAonWmckns73agC7C/9z5mR3rv/b3AvQCdOnXyBQUFSewquqKiIlK5veosp47lfvvBwIFsd9VVbFezJowebZWVKolkjmVBgdVyeO01uOCCulxzzbZMnrwtl18OBx9cqV5eRuXU+7KS07FMHR1LEcmE/HwrLN2nj9VxmDzZyldVaptvDhMnwrPPWtJhjz3srsqYMdCgQbajE5EKiKcbxSKsdUOkJkRv8RCVc24s1lrhaO/91HjXE0mJpk1hyhQbemnMGBg2DFasyHZUKbHPPvDhh/DMM/b/Qw6B3Xe3JISIiIhULw0bwssvW8+Egw6ygbpywsEH2zCZI0fCTTfZC3j55WxHJSIVEE+y4RusbkOk9sC38ezEOXcRNuzlad77R+MPTySFate2ks1jx1ozvV694K+/sh1VSjhn5+gvv4QHH7SX1bs37L03fPBBtqMTERGRTGrcGKZOhS23hAMPhJdeynZEcdpgA7jrLivwnZ9vLVMPOwzmzStZZvp0K2SVM1kUkeornmTDZKCzc65taIJzrg3QNZhXJufcqcAVwEXe+9uSjFMkNZyD88+Hp5+Gzz+3pnrfxpUzywk1a1rjjR9+gJtvtmKSnTvbnY1vvsl2dCIiIpIpG25orRxbtYL997dHzlzydOtmI1aMHm3dK7bbzsYAnzYNDjgAZs+2ZyUcRCq1eJIN9wGzgEnOuf7OuX7AJGAucE9oIedca+fcGufcqLBpQ4CbgVeAac65zmGPhEeyEEmZgQPhjTesK8Wee8Krr2Y7opSqU8e6O/78s/UamTYNdtgBjjwSZs3KdnQiIiKSCRtvbL/Zr7sO3nkHdtwRTjghRxp21qkDl15qN4c6dICjj7Zmm8XFNr+4WAkHkUqu3GSD934Z0Av4AXgUGAfMBHp575eGLeqAGhHb7BtM7wu8F/G4MwXxiyRvt92sj0Hr1rDvvnDPPeWvk2MaNoRLLrHhq886y4bF2nprOOWU9VskioiISNVUpw6cfTb89JMVlr7/fthqK+tVunx5tqOLw3bbWQuH2rVh3br15ynhIFKpxdOyAe/9HO/9QO99I+99Q+/9AO/9rIhlZnnvnfd+dNi04cG0aI+ClL4SkWS0amWp/sJCOP54+0W+dm22o0q5Zs3srsaPP1o3i7vusn6cF18M//yT7ehEREQk3TbcEG69Fb7+Gnr2hAsvhG23hfHjS/+Gr3SOOQZWrYo+r7gYhgyB1aszG5OIlCuuZINIldawIUyaBKeeCjfeaJUWly4tf70ctPnm1oBjxgwrGHXlldC2LVx7bUmrRBEREam6ttnGLnumTbObEcOGWX2nt9/OdmRleOghKxgZy19/QYsWlpR45RUlHkQqCSUbRMAqK95yC9x2G7zwAuy1F/z6a7ajSpt27WxAjk8/tQuM886zJpV3363zs0gqeG8tif73P2s0deyxnapqDlNEclTPnvDxx/DII/D773bpc+mlHfj552xHFkXPnnZ9FplwyM+35MLkyVYB8+mnrWvsxhsr8SBSCSjZIBLu5JPtZPbzzzZSxaefZjuitNp5ZxsO6803rYXDCSdY18icaFIpUoksX24jtV1zDfTvD82bW32UI4+Exx+HZs1WsmBBtqMUEVlfXh4ccYSNYjVmDHz4YVO22w7OPBMWLcp2dBEiEw75+fb/wkJrrvnoo1aQatIkGzLzqafWTzxMmaLEg0iGKdkgEmnffa2OQ82aluafNCnbEaXdXnvZD6UXXoD69a1J5c472/+9z3Z0IpXPb7/ZdewZZ1heslEj6N7dRtb97jurV3bvvdY3euFCuOaar2jdOttRi4hEl59vBaUfe+wDjjjChs/ecktr9BmrVEJWhBIOrVvbc8+e68+vWxf69bPEw19/2TXcvvvaF3bfvpZ4OPZYJR5EMkTJBpFodtjBRqrYfns46CC44YYq/6vbOWuB+Nln1rJh2TK7UbDXXtbyQaS6Wr0aPvnEelkddphd426+OQwebDVQ6tWDc86B55+H+fPh+++te/GIETZaW57OtCKSI5o1W8X999tok506wemn2/fYxImV6DKoZ08bxzsy0RAplHh47DFLPEycaImHJ59U4kEkQ3QJJBLLxhtDUREccoiNGXX88dXiZJSXZz+oZsywGg6//AI9etj5+fnnUVNwqfIWLIAXX4SLLrJr2caN7aL71FOt0dOee9rdvo8+gsWL7WviqqusNcOGG2Y7+qrNOdfSOfe0c26xc26Jc+5Z51yrONbr5Jy71zn3nXOu2Dk3xzk3zjm3RSbiFsk1O+5ov8Ffeglq1bL7LgUFVuMhJ9Wta33cIhMPTzxRkngYMQKmTq0W13oimaJkg0hZ6tWzDtcXXmhtovfbr9qMFVmrFhx3nI3Lfc011tCjXz/7MbXddnYz4KGHrJ9npbnbIZKgdesssfbAA9ald7vt7D1+wAE2SsuyZXb9+cQTMGeOPR5/3BIPnTrZ56Rc06fTecgQjQNfQc65fGAasC1wJHA40A6Y7pyrX87qQ4AOwK3AvsD5wC7Ax865lmkLWiSHOWe/x7/80obMnjEDdtsNDj8c5s7NdnQVEJ54mD/fEg99+9qXe2EhbLKJEg9SNWXheqRmxvYkkqvy8myMyHbtYORI6NLF+gm2bZvtyDIiPx/OPRdOOcXu5L79tt3dfeYZ+4EGsNFGdli6doVu3WCXXaBOnezGLRLN0qXw4Yfw7rv2eO+9kvxhs2b2Pj7ySHvu1KnskdbiMn06HHAAdYuLLYMRrY+xxGsE0BbYxnv/E4Bz7kvgR+A44MYy1r3Gez8/fIJz7h1gZrDdUWmJWKQKqFnTGncOHQpjx8JNN9mgD2edZaNZNWyY7QgrIJR46N/fKv1OmWL1HR5/HO6/304MBx1k/eZ69rSDIZKLsnQ9ok+MSLyGD4cttrCTzh57WNGhLl2yHVXG1KtnBfC6d7f/h+4Iv/NOySNUS7NOHbv70bWrPbp0sfO1SCZ5D7NnlyQW3n0XvvjC3rvOWT/kwYPt/bnnnpZPdC6FAQQndoqL7f9KOFRUP+D9UKIBwHs/M0ga9KeMZENkoiGYNts5Nx/YLB3BilQ1jRpZsuH4463B55VX2u/xMWPg6KOrwO/wevVgwAB7hBIPTz65fuLh4INh0CAlHiS3ZPF6RN0oRBLRowe8/z40aQK9esGECdmOKGvy8uzH2siRNkb3Tz/BH39Yi4eTTrKWhzfeqK4XkjkrV9rH88YbrdTKZptZfnDYMHuPNmsGF19sw64vXAhffWUFHo880oapTGuiISR0gleXimR0AL6OMv0boH2iG3PObQc0B2ZUMC6RaqV1axg3zrpXbrWVdbnceWf7bV5lhBIP48dbjYdnn4U+fey6r08f62oxciS8+iqsWZPtaEVKW7MGvvnGClD16ZO16xGl5EQStfXW1vb64IOtTeEPP8CoUSn+pZKbNt7YDsvBB9v/ly+3rhehlg+xul507Qq77qquF5KYefPsoxhqtfDxx5ZwAOvltPfe9h7r0sUGlqlRIwNBLVkC06ZZp+bIE3tIcTEcdZRVU5dENAUWRZm+EGiSyIacczWBu4H5wAMxlhkJjARo0aIFRUVFieyiXEuXLk35NqsrHcvUSfRYXn45vPnmhtx775b07VuP3XZbyAkn/MwWWyxLX5DZ0KQJjBxJ3pFH0vTDD9moqIgNH32UGvfdx6oNNuDvbt2Y37Mn/3TsiA9ONnpfpo6OZdlqLl1K/Z9/psFPP9Hg559p8PPP1J85k7zyao4UF7PisMN4//HH0xdb2rYsUpU1a2bZ7JEjYfRoSzg88ID1/ZP/JNr1olOn9bteqLK/hKxdawn68C4RP/9s82rXtvfOKaeUdInYeOMMBea99c145RV7vPOO3U2oV8+yG2vXll4nP9+a+EgyorWJSibTezvQBdjfex8tgYH3/l7gXoBOnTr5goKCJHYTW1FREaneZnWlY5k6yRzLnj3h/PPhjjvg8subcuyxTTnmGOtekbHv4kwqLIRLLrE7Kq+8Qu0nn2TT559n0xdftAuXoKvFG/Xq0UPvy5TQZzywbp3dqPj8c7v2+OIL+/fs2SXLbLghdOxo49fvtBOsWmVVraPdAMnPp+6ECWk9tko2iCSrdm37wbDNNtZ5cdYsq2i80UbZjqzSCnW9CHW/APjzT/vhGEo+3HSTjQIAsO22JcmHrl3T0KdeKq3Fi62Jbiix8P778O+/Nm/jjS2pcMIJ9pzxgqQLF1qyMZRg+PNPm96xI5xzjlU133NPq6Ya2ZUiP181G5K3CGvdEKkJ0Vs8ROWcG4u1WDjSez81RbGJVGt16sCZZ1q3tMsvt8TDhAmWhDjzTMu/Vjn16lkdr4MOssTDyy9bcclx4+Dee9lzgw3g0EOtOFCPHrFrPEyfbq3dHnpI5wYpUVwMX3+9flLhyy9LLoby8qy1defO1pepY0dLLmyySemL5bZts3Y9omSDSEU4BxdcYJ0WjzjCCke++KIVKNDJIy7ldb149ll1vahq1q61LhChoSRDj7lzS/7999+2bF6enTuPOMJ+v3fpAm3aZDjptHat9dEIJRc+/NDuLjRtav0g+/Yt6cMbrmdPO5GHTvBKNFTUN1jdhkjtgW/j2YBz7iJs2MtTvfePpjA2EcEaft58M5x4oo1UcfHFcPfdcNVVVj8nr6pWi6tXr+RiprgYXnmFf26/neZB4oGNNiopLhmeeAiv76MCwtWT91b0LDyp8MUX1mp63TpbpmFD2HFHuxjaaSd7bL99/ENmZfF6RMkGkVQYNAhatbKhk/bc086ul16qk0cSonW9+O67kuTD22+X3fVCsm/JkthJhDlz4NdfS9fTatjQio61amUjmbRpA7vvbv/OyrBqf/5pY6y/8oo9L1hgGY7dd7fms/vua2++8gpBBCf4FYcdRt0JE/Q9UDGTgeudc229978AOOfaAF2xBEKZnHOnAlcAF3nvb0tnoCLV3dZbw3PPwRtv2BCZRxwBt9xiBXxD5/cqKz8fDj6Yb5s2pfnuu5e0eHjsMatKHEo8tGtnNb80YlH1sXq1XdSGd4P44guYHzZgUuvW1kph8GBLKnTsaBdFFc3UZel6RMkGkVTZYw9r911QYE2pQ3TyqJC8PGjf3h4jRti0efPWr/sQ3vWiZcvd6d0bunVT14t0WL0afvstehIhNG3x4vXXqVkTNt8cWra0v0mrViWPli3teYMNsvN6/rN6tVWbDLVe+Owzm96ihX1++/aF3r2TG8O1Z0/ef/xx9TetuPuAk4FJzrmLsfoNlwNzgXtCCznnWgM/A2O892OCaUOAm4FXgGnOuc5h213ivY+rZYSIJKZHD2sMNn68NQTt0cN6HVxzjZ2fq7z8fBg40B7FxSWJh4cfLqloHK64GPbf364Ze/XKeLgSoSKtlBctWr+lwuefw7ffWg0FsDtm229fUlthp52s9UKThOodJyYL1yNKNoik0i+/2C/hSEo4pFSLFrG7XkyevJznnsvnwQdtnrpexM97u4EfSiK8/vpmvPji+omE338vPWxps2aWMNhyS3t7hycRWrWyrjIZGQkiUXPmlCQXXnvN+kHWrGlvmKuustYLO+5Yhdv95hbv/TLnXC/gJuBRrDDk68Dp3vulYYs6oAbrD+/dN5jeN3iEewMoSFPYItVeXh783//ZOfumm+Dqq+H5522Y7FGjrEdatRCeeGjVyk6q0SxfbsMpbbmlnUxjPRo31t2UdIq3i8u6dVaxOrylwuefr//3bd7cWij07l1SW2GbbWLX8ahCqv4rFMmko46yk0Q0xcU2VObvv+vkkGLhXS/23PMruncvWK/rRbRRL7p0sS72derYICJ16pQ8yvp/+L9z7RyxfLl1YSirVsL6b9921KlTkjTo02f9JEIoqRBvl8GsW7EC3nqrJMHwbXAzu2VLOOwwa73Qq1claGYhsXjv5wADy1lmFhEjVHjvhwPD0xWXiJQvPx8uugiOOcaSDLfdBo88Yv8+6SSru11tPPJI6YJ9IbVqWWbGOTtBv/GGNSmMHN2ofv2ykxEtW0KDBpl5PVVNeKIBShIOTz1l2bHwFgtffQVLg3x3jRqWROjWrSSpsNNOVXRYlvjk2KWySCX30EOxTx5g/cC3286SDsOGWdZaUi5W14t337WaD++8YwWsyht+OJ79JJKoKCtxUdF1a9YsXXQxsptDeJfAkE02saTBDjtYy83wRMKcOe8wYEDX3M6N/fhjSXJh+nTLptSubW15jznGEgzbbacEoIhIhmy8sdVMPPVUOPtsG63ijjusa0XoN3aVF1mwLyRW4b61a+0acu7c6I+vv7b5kU0PGzcuOxmx+eapHbY9F4ujr15tLRuXLLHnoiLrDh3ZzSXUxSWkUSNLJBx1VElSoUOHKjr0SvKUbBBJpbJOHhMm2K/BceOseOSll1qdh2HDqLX55tmLuZpo0aJkhCqwc8uyZXYuCT1WrIj9/7LmlbVscbGNlFjWuunSoEFJ4mDXXUvXSdhss7K7lPz77+rcu+hbtswudkIJhp9/tunt2sGxx1pyoUcPuyMkIiJZs/32JV/VZ58NhxxiN4RvuMFq8VZ5iYwQUKOGnbQ328yGOoxm1SprPRsrIfHhhyVDPYXbaKOyExKbbmqtLcqTyZE1vLfz/ZIlJY9QwiDe/4emxWqRHMtGG9mxbN065zJja9bAb79lNhmiZINIqpV38hgxwr70H3/cEg+nnkqXvDxroz50KAwYkKXy+9VLrVqW8M827+36IJmkRvj/V6+2LoHhLRM22CDnzoOJ8x6++abkivWtt+yA5udbl4gzzrAEg1oRiYhUSn37wj77wIMP2mA/e+xhl0NXXWW/56q00DVjKloD1K5toxa0aRN7mVB/ymjJiJ9/trv6kVWenbNmkGUlJL791kZkK29kjZUrk0oO7PLrrxZH+LzIVhyxjkmjRiWPhg3ttWyzTcn/I+f/8ovdEFyxovT28vPhiSfKPsaVyIoVVtPszTft8ujdd2HNml059NDMdQVWskEkHco7ebRsaU20zjkHvvmGOVddRet33rGxoerVsy/sYcOgsDC+bLLkLOdKukJIoLxmmP/8A6+/XpJg+PVXm7799tYut29fuz2mgyoikhNq1oSRI618zjXXWOuGZ56xfPEFF9jvwCqrZ0+YNSsz+6pXz1r6lTUUyL//xm4d8dVX8NJLsbsLhysutkKXLVqUdFUIjcRQFufW//HfqBFr6te3H/jRkgOx/t+wYfLXAbvtFn8Xl0rk338toRBKLnz4YUkL2u23t0KtG274A+vWtc9YTEo2iKRLvCePDh2YOWIErR991L4hxo2DJ5+0lg/Nmtk4u0OHWkVDVcWXqi5aM8wePWwoylBy4b33rP9qo0ZW2fnSSy0x17JltqMXEZEKaNgQrrgCjjsOLrzQRq544AEYM8Z6wuVaYeac1LBhSeGraLy3YR1DCYgjj7T+orGW/fdfWyaeBEGjRvajPqJZ5pdFRZkdPjqRLi5ZNH++1SILJRc++8wGx6hRw7rPnnyyFU/v2rVk5O6ior+oXVvJBpHqJy/P7sZ26wa33AJTp1ri4eGH4a67rC1hqLBkhw7ZjlYk9aJVf+7d2y5E/vnHpu26K5x/vrVe2GMPtfwREamCWraERx+F006zApInnGCjV1x3nY1KXOW7CFZmztmIDE2bWlHEp5+OXRw9P9/GOa1kP9LjksouLikyZ05JYuGtt2DGDJtet66V8rjoIksudO5ceQYiUbJBpDKqXdu+uA84wDLCEyda4uGaa2DsWPtyHzYMhgzR3VzJfQsXWmfdCy8sPUTI2rX2GTj/fDj9dGuOKSIi1UKnTjby48SJcO65NhhA795W/qp7d50SKoVER9bIJZns4hLBe/j++5LkwptvWrIBrCZX167WYGSvvew+TGXtOapkg0hl17AhHH64PebNsy4W48bZWfe88+xsO2yYlXFu0iTb0YqU7e+/4dNP4ZNP7PHppzBzZtnrrF1ro7mMHZuZGEVEpNJwzkaS2n9/a+g5Zgy8+qrN22Yb62nXvbs9a3CvLMmRbgeV2dq18MUX67dcCA1Z3qKFJRXOPtued9jBukrkAiUbRHJJixZwyin2+OknGD/eEg8jR1rHrP32s8TDAQekdtxkkWT89VdJQiGUXAil5QHatrXbViNH2lnz0kujD0GVn29NGEVEpNqqXdu6VZx4op1W3njDfpg9/jjce68t07ZtSeKhRw+rKaguFxlSCbsdVGahkSJCiYV33rGGnABbbGHdhbp3t+RCu3a5+z5WskEkV221FYwaZeNEffKJJR0ef9zaGjZqBAcfbImHnj1zJ/0puevPP9dvrfDJJyWjRICdKffc05Jiu+4KO+9cuiVOp05VsxmmiIikTK1aVrJnjz2skWf4HeE33oDJk63cFVhLh1DioXt32Hrr3P3RlhOy2O2gsguNFBHqEhE+UkSHDnbJHkouVKUWOko2iOQ65+xHWqdOcP31VmRv3DgbM+rhh2084SFD7Ftsl110lpWK8R5+/710i4U//rD5ztnVXPfu9n4LJRY22KD8basZpoiIJKhGDTvd7LKLlfZZtw6+/dYSD2+8Aa+9ZpdFABtvbKenUOuH9u010JekR2ikiFByIXykiF12sXsve+1ldeFDI0VURUo2iFQlNWrAPvvY48477YfauHFw++1w003WuXHYMBvVYsstsx2tVHbe27BWkS0W5s2z+Xl5sO22No72rrvao2NHqzOSLDXDFBGRCsjLg+23t8dJJ9mp7IcfSrpdvPGGlb8C+5G3114lLR922kmNQSU5c+aUdIl48831R4rYYw8bKWKvvayRZ2UZKSITlGwQqarq1YNBg+yxcKG1dBg3zrpejBpl33zDhsGhh0Lz5tmOVrLNe5g9e73WCl0++KBkyMm8PLsF1LdvSYuFjh2hfv3Ux6JmmCIikiLO2b2WbbaxEkHe2ykm1PLhzTetBypYI7xu3UpaPuyyi0ZYltJCI0WEEgtvvWWXUGA9mbt2hSOOsORCp06Vd6SITFCyQaQ6aNrUxokaMcLuVE+YYImHU0+FM86wcaSGDYMBA2KnW6dP193myiyRv4/3NgJEeIuFTz+FBQtsfo0a0KEDCzp3ZpMDDrDEwo47WrcGERGRHOacFeDbYgsYPtymzZ1rPxpDLR9efNGm168PXbqU1H3Ybbfq/cOxugrVBQlPLoRGimje3JIKZ55pzzvuqNYx4ZRsEKluWra0ikrnngtff21Jh/HjbWjNevWgf39LPBQWlqTzp08v6Ud/wAHqR1/ZlPX3WbcOfv659HCToRYLtWpZW9ODDippsbDjjlC3Lt8XFbFJQUG2XpWIiEhGtGxplz7Dhtn///zTflCGWj9cfLFNr1sXOncuafnQubPy8FXJP/9Yq5fZs0ueZ8ywwo5LltgybdrYSBF77WXvg1weKSITlGwQqc623x7GjoUrr7Rv0nHjrCPj449bR8bBg2G77eD880tGCFDCoXIJTzSAPfftC/36wd9/W2IhdIasXdsGZx482JIKu+xi/9dtGhERkf9svHFJT1Swhn+h5MObb8IVV8CYMZav3223kpYPXbpUrGyRpI/31qs4PJkQmVhYvHj9dfLzrcTZ0KGWXNhrL0tMSfyUbBAR64/frZs9brkFpkyxxMMDD8CqVaWXLy6G/feH55+34oCSXt5bwmDePPjrr5LH++/b32nNmvWXX7UKnn7aijeGRiHZdVcbW6l27ey8BhERkRzVrJn1NB0wwP6/eDH8f3v3HiPXVR9w/Ptz1naysRVv/FIe7K4jRyKOoBYKBAXqxE0Dxbz+KQ2K1EaoaVUkRCSqVo1C0wohSkMfUqiUxJQqUQri3RIhIVLampYoBlmiKAkpqQHFdRSUdWNIXG/8PPxx7uDZ8cx6svfMzuv7ka5m5o7v9bm/vTP3N7977rmPPnqm58Pdd+dzN407DVx/PUxNrWf7dli3rn/tHicp5UsbFismHDmycJm1a3NPhZmZ3Euh8bzxuGGDvRbqstggaaFVq+Cd78zT9HS+kLGd+fl814vNm/O3cWPauHHx1/Y3zE6cyEfF5gJCazGh+XW7os+5zM/nu5JIkqRiLroIdu3KE+QfsY89dqbnwz33wPHjr+HDH853uGhcdrFjR06F9MqdPp3TosWKCfPzC5dZty4XDq68MqeszcWE2dn8vsWE3rLYIKmzBx9c2EW/2cqVuX/hmjW5u/7cXL6x9aFDub/h6dPt1zk5+cqKE+vXw0QPvqpKD3jZqfdBp9eHD7dfz6pVuYCzaVPux/na1+bnmzadmd94/sQT+TRLu7/P5GTeNkmS1FNr1uSxtm+6Kb+en4f77/8vXnxxO9/6FnzqU7kAAfnGTo3LLnbsgEsu6V+7B8mpU/Dcc+2LCE899Ya25102bMjFg6uvzoWfRhFhZiZPF1207JuhFhYbJHW2c2cem6G14DA5ufiYDadP5x/Thw6dmebm2r/evz8/NsYVaGdqqusCxcSRI/mH/2Kl6m4HvGzX+2CxAkKn3gcXX3ymQNCpeNB4vXZt92X2Sy5Z2t9HkiT1zAUXwPbtP6MxxvLx47Bv35meDw89BPfem9+74oqcxqxenQegbEzNrzs9f6XvrV7dvzP5J0/Cs8+eXUxoPD9w4OyrQjdvzkWDrVuPcMstkwsucZiZ6XwDNQ0Oiw2SFtdacOjmh+yKFblHwvr1+cbW3Th2LPeI6FScaMw7cCAPejg31/bH/Zsh94ToVJw4fBh27z6z7NGj+c4bu3bl3hrNBYRueh9s3pwHWexUQNi4sbc36V7K30eSJC2bVavy4JHXXQd33JF/VH/ve7nwsHcvvPQSvPxyPu/y/PP5+bFj+bF5Sql+WxoFiFIFjNb3IuDgwbOLCQcP5t4LDRH5nMnsLFx7Ldx888LLHKanc9EGYM+eH3DDDZvqb7yWncUGSefW+EFb8rKDVqtXw6WX5qkbKeWLJFuKEfv37mXrunULCxaPP37m37Rz4gR89at5iOEtW3Lx4MYby/Q+WA7L8feRJElFTEzku1i8/vXdL5NSLlK0K0Q0v+72vU7/7siRfO6n0zqaCwaLWbECLrssFw527Fg48OLsbE65vBnW6LPYIKk7O3fm8vSgiMg/+teuzQWCysHpabY2+i22mpnJPSM6WbEi93EcRoP295EkScVE5I6SK1f29/aaJ08uXsA4dSoXGS6/vLcdOzUcLDZIGh8PPNB5wEsHVJQkSVrUxESeLryw3y3RMFjR7wZI0rJpXG7QevtNxzmQJEmSirLYIGm8tBYcLDRIkiRJxVlskDR+GgWHmRkLDZIkSVIPOGaDpPHkgIqSJElSz9izQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFWWxQZIkSZIkFRUppX63YVERMQc8U3CVG4BDBdc3zoxlOcayHGNZjrEspxexnEkpbSy8TrXRg1wE/HyVZCzLMZblGMtyjGU5y5qPDHyxobSI2JdSuqbf7RgFxrIcY1mOsSzHWJZjLNXKfaIcY1mOsSzHWJZjLMtZ7lh6GYUkSZIkSSrKYoMkSZIkSSpqHIsNu/vdgBFiLMsxluUYy3KMZTnGUq3cJ8oxluUYy3KMZTnGspxljeXYjdkgSZIkSZJ6axx7NkiSJEmSpB6y2CBJkiRJkooamWJDRLwqIr4UET+PiBcj4isRMd3lsudHxCci4rmImI+IxyJiR6/bPKiWGsuIuCYidkfEf0fE0Yg4EBGfiYgty9HuQVRnv2xZzx0RkSLi271o5zCoG8uIuCoivhgRh6rP+Q8j4vZetnlQ1fy+nI6IB6vP99GIeDoiPhoRF/a63YMmIi6PiE9Wx4yj1Wd0tstlPe6MIHORssxHyjEfKcd8pBzzkTIGOR8ZiWJDREwC/wa8GrgV+G3gSuDfu9zhPg38HnAX8A7gOeAbEbG9Jw0eYDVj+V7gauAe4G3AnwCvA/ZFxKt61ugBVWC/bKznCuBO4PletHMY1I1lRFwDfAdYDdwG7AL+GjivV20eVHViWb3/TWAH8KfA24G/B/4Q+IceNntQbQV+CzgM/OcrXNbjzogxFynLfKQc85FyzEfKMR8panDzkZTS0E/A7cApYGvTvC3ASeBD51j2V4AEvK9p3gTwQ+Dhfm/bkMVyY5t5M8Bp4CP93rZhimXLer4B3A/sAb7d7+0atliSi6pPAv/U7+0YhKlmLN9SfV++pWX+x6vlJ/u9fcscyxVNz2+rYjPbxXIed0ZwMhcZqHiajxSKZct6zEfMRwYlluYjC7d7YPORkejZALwL2JtS2t+YkVL6CfAo8O4ulj0BfL5p2ZPA54C3RsTq8s0daEuOZUpprs28Z4A54LLC7RwGdfZLACLiFvLZmDt60sLhUSeWNwDbgL/pWeuGS51YrqoeX2yZ/zNyEhWF2jgUUkqnl7iox53RZC5SlvlIOeYj5ZiPlGM+Usgg5yOjUmy4GniizfwnyR/qcy37k5TS0TbLriJ3SxkndWJ5loi4CtgEPFWzXcOoViwjYgr4W+CPU0ovFG7bsKkTyzdXj+dHxN6IOBERz0fEPRFxQdFWDoc6sfwm8D/AX0bEtohYExG/Rj47cV9K6f/LNnVkedwZTeYiZZmPlGM+Uo75SDnmI/3X82PPqBQbLiZfo9LqBWCqxrKN98dJnVguEBETwH3kMwmfrt+0oVM3lp8AngYeKNimYVUnlpdWj58HHgFuAu4mdzP7bKkGDpElxzKl9DI5WWp0BX0J+Ffga8AHyjZzpHncGU3mImWZj5RjPlKO+Ug55iP91/Njz0TdFQyQ1GZeN11oosayo6pUPP4OuA54e0qp3Y48DpYUy4j4VeB3gNel6gIqLXm/bBRV/zGldFf1fE9EnAd8PCK2pZR+UKSFw2Op++X55CRpE3kgpwPAG8iDCp0E3l+wjaPM487oMhcpy3ykHPORcsxHyjEf6a+eH3tGpdhwmPaVlynaV2uavQC0u8XKVNP746ROLH8pIv4C+H3g1pTSI4XaNmzqxPJ+8tmXgxGxrpo3AZxXvZ5PKR0r1M5hUCeW/1c9/kvL/EfIAwltB8bp4F4nlr9LvuZ0a0rpR9W8/4iInwO7I+K+lNL3i7V0dHncGU3mImWZj5RjPlKO+Ug55iP91/Njz6hcRvEk+ZqTVts494f2SWBLdfuV1mWPA/vPXmSk1YklABFxJ/k2U7enlB4q2LZhUyeWVwF/QP6ybUxvAt5YPR+3im3dzzicXbltVG2XOqjOsKoTy9cAh5sO7A3frR6vqtm2ceFxZzSZi5RlPlKO+Ug55iPlmI/0X8+PPaNSbHgYeGN1/18AImKW/GX4cBfLrgTe07TsBHAz8MiYVWuhXiyJiA8CHwXuTCl9sleNHBJ1YrmzzfR98kA6O4Ev9aC9g6xOLL8OHAN+o2X+W6vHfYXaOCzqxPKnwFREtA4YdG31+GypRo44jzujyVykLPORcsxHyjEfKcd8pP96f+zpxb0+l3sCLiRXXh4n3yrlXeQvwh8Da5r+3Qz5Op67Wpb/HLk6extwI/mL82Xy9Wl9375hiSXwXnJV9uvkinfztK3f2zZMseywvj2M732t637G/6ya/zHg18lnuuaBB/q9bcMUS2CWfJupp4FbyYnmH1Xz9tF0n+dxmYDfrKZ7yWer3l+9vr5THKv5HndGbDIXGZx4mo+U3TfbrM98xHykr7E0H2kbz4HMR/oemIIBnga+XO1kLwH/DMy2/JvZKvh/3jL/AvI9b39aBfc7wA393qZhiyV5lOLUYdrT7+0aplh2WNfYHtzrxpLcRfFD1UHtOPAM8BFgZb+3awhjuQ34AvC/5ATpaeCvgKl+b1efYrnod57HnfGazEUGI57mI+Vi2WFd5iPmI4MQS/ORhfEYyHwkqv9EkiRJkiSpiFEZs0GSJEmSJA0Iiw2SJEmSJKkoiw2SJEmSJKkoiw2SJEmSJKkoiw2SJEmSJKkoiw2SJEmSJKkoiw2SJEmSJKkoiw2SJEmSJKmoXwC0fqE7hiXhVwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(18, 7))\n",
"\n",
"subplot(1, 2, 1)\n",
"plot(tt, yy, 'b-', tt, uu_ep, 'r-D')\n",
"err_ep = norm(array(uu_ep)-array(yy),inf)\n",
"title(f'Euler explicite - max(|erreur|)= {err_ep:1.10f}')\n",
"grid()\n",
"\n",
"subplot(1, 2, 2)\n",
"plot(tt, yy, 'b-', tt, uu_er, 'r-D')\n",
"err_er = norm(array(uu_er)-array(yy),inf)\n",
"title(f'Euler implicite - max(|erreur|)= {err_er:1.10f}')\n",
"grid();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rappel de CM : étude empirique de la convergence des schémas d'Euler explicite et implicite\n",
"Considérons le même problème de Cauchy.\n",
"\n",
"1. On se propose d'estimer empiriquement l'ordre de convergence de la méthode d'**Euler explicite**. \n",
"\t- On calcule d'abord la solution approchée avec différentes valeurs de $h_k=1/N_k$ \n",
"\t- Pour chaque valeur de $h_k$, on calcule le maximum de la valeur absolue de l'erreur et on la sauvegarde dans le vecteur `err_ep` de sort que `err_ep[k]` contient $e_k=\\max_{i=0,\\dots,N_k}|y(t_i)-u_{i}|$. \n",
"\t- Pour estimer l'ordre de convergence on affiche les points (`h[k]`,`err_ep[k]`) en echèlle logarithmique. On trouve ainsi une droite qui relie l'erreur au pas $k$ à l'erreur au pas $k+1$. \n",
" Pour estimer la pente globale de cette droite (par des moindres carrés) on utilisers la fonction `polyfit` avec une régression linéaire. \t\n",
"\n",
"2. Même exercice pour estimer l'ordre de convergence de la méthode d'**Euler implicite**.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pour chaque schéma, on calcule la solution approchée avec différentes valeurs de $h_k=1/N_k$ et on sauvegarde les valeurs de $h_k$ dans le vecteur `H`. \n",
"\n",
"Pour chaque valeur de $h_k$, on calcule le maximum de la valeur absolue de l'erreur et on sauvegarde toutes ces erreurs dans le vecteur `err_schema` de sort que `err_schema[k]` contient $e_k=\\max_{i=0,\\dots,N_k}|y(t_i)-u_{i}|$."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"H = []\n",
"err_ep = []\n",
"err_er = []\n",
"\n",
"N = 10\n",
"for k in range(7):\n",
" N+=20\n",
" tt = linspace(t0, tfinal, N + 1)\n",
" h = tt[1] - tt[0]\n",
" yy = [sol_exacte(t) for t in tt]\n",
" uu_ep = EE(phi, tt, y0)\n",
" uu_er = EI(phi, tt, y0)\n",
" H.append(h)\n",
" err_ep.append(norm(array(uu_ep)-array(yy),inf))\n",
" err_er.append(norm(array(uu_er)-array(yy),inf))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pour afficher l'ordre de convergence on utilise une échelle logarithmique, i.e. on représente $\\ln(h)$ sur l'axe des abscisses et $\\ln(\\text{err})$ sur l'axe des ordonnées. \n",
"En effet, si $\\text{err}=Ch^p$ alors $\\ln(\\text{err})=\\ln(C)+p\\ln(h)$. \n",
"En échelle logarithmique, $p$ représente donc la pente de la ligne droite $\\ln(\\text{err})$."
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(10,7))\n",
"plot(log(H), log(err_ep), 'r-o', label='Euler Explicite')\n",
"plot(log(H), log(err_er), 'g-+', label='Euler Implicite')\n",
"# loglog(H, err_ep, 'r-o', label='Euler Explicite')\n",
"# loglog(H, err_er, 'g-+', label='Euler Implicite')\n",
"xlabel('$\\ln(h)$')\n",
"ylabel('$\\ln(e)$')\n",
"legend(bbox_to_anchor=(1.04, 1), loc='upper left')\n",
"grid(True)\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pour estimer l'ordre de convergence on doit estimer la pente de la droite qui relie l'erreur au pas $k$ à l'erreur au pas $k+1$ en echelle logarithmique.\n",
"Pour estimer la pente globale de cette droite (par des moindres carrés) on peut utiliser la fonction `polyfit` (du module `numpy` que nous avons déjà importé avec `matplotlib.pylab`). "
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Euler progressif : ordre = 1.03\n",
"Euler regressif : ordre = 0.98\n"
]
}
],
"source": [
"order_ep = polyfit(log(H),log(err_ep), 1)[0]\n",
"print (f'Euler progressif : ordre = {order_ep:1.2f}')\n",
"order_er = polyfit(log(H),log(err_er), 1)[0]\n",
"print (f'Euler regressif : ordre = {order_er:1.2f}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice : implémentation et étude empirique de la convergence des méthodes d'Euler modifié, RK1_m, de Crank-Nicolson et de Heun\n",
"Ajouter l'implémentation et l'étude empirique de la convergence des méthodes d'**Euler modifié**, **RK1_M**, de **Crank-Nicolson** et de **Heun** . \n",
"Pour cela **modifier directement le code ci-dessus** : les endroits où il faut écrire du code sont indiqués par les commentaire commençant par\n",
"``# !!!!!! ``."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction**\n",
"\n",
"On écrit les quatre schémas:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma d'Euler modifié:**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"\\tilde u = u_n+\\frac{h}{2}\\varphi(t_n,u_n),\\\\\n",
"u_{n+1}=u_n+h\\varphi\\left(t_n+\\frac{h}{2},\\tilde u\\right)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$\n",
"qu'on peut réécrire sous la forme\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"k_1 = h\\varphi(t_n,u_n),\\\\\n",
"u_{n+1}=u_n+h\\varphi\\left(t_n+\\frac{h}{2}, u_n+\\frac{k_1}{2}\\right)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"def EM(phi,tt, y0):\n",
" h = tt[1]-tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt)-1):\n",
" k1 = h * phi( tt[i], uu[i] )\n",
" uu.append( uu[i]+h*phi( tt[i]+h/2 , uu[i]+k1/2 ) )\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma RK1_M:**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_{n+1}=u_n+h\\varphi\\left(\\frac{t_n+t_{n+1}}{2},\\frac{u_n+u_{n+1}}{2}\\right)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"def RK1_M(phi,tt,y0):\n",
" h = tt[1]-tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt)-1):\n",
" uu.append( fsolve(lambda x: -x+uu[i]+h*phi( (tt[i]+tt[i+1])/2,(uu[i]+x)/2 ), uu[i])[0] )\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma de Crank-Nicolson :**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_{n+1}=u_n+\\frac{h}{2}\\Bigl(\\varphi(t_n,u_n)+\\varphi(t_{n+1},u_{n+1})\\Bigr)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$\n",
"avec $u_{n+1}$ zéro de la fonction $x\\mapsto -x+u_n+\\frac{h}{2}(\\varphi(t_n,u_n)+\\varphi(t_{n+1},x))$."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [],
"source": [
"def CN(phi,tt, y0):\n",
" h = tt[1]-tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt)-1):\n",
" temp = fsolve(lambda x: -x+uu[i]+0.5*h*( phi(tt[i+1],x)+phi(tt[i],uu[i]) ), uu[i])\n",
" uu.append(temp[0])\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Schéma de Heun:**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"\\tilde u = u_n+h\\varphi(t_n,u_n)\\\\\n",
"u_{n+1}=u_n+\\frac{h}{2}\\Bigl(\\varphi(t_n,u_n)+\\varphi(t_{n+1},\\tilde u)\\Bigr)& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$\n",
"qu'on peut réécrire sous la forme\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"k_1 = h\\varphi(t_n,u_n),\\\\\n",
"k_2 = h\\varphi(t_{n+1},u_n+k_1),\\\\\n",
"u_{n+1}=u_n+\\frac{k_1+k_2}{2}& n=0,1,2,\\dots N-1\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"def heun(phi,tt, y0):\n",
" h = tt[1]-tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt)-1):\n",
" k1 = h * phi( tt[i], uu[i] )\n",
" k2 = h * phi( tt[i+1], uu[i] + k1 )\n",
" uu.append( uu[i] + (k1+k2) /2 )\n",
" return uu"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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scw5/r8ZEKUOsr/XP7zDKtirMo6xOfTf8exI2vwtV3y0O1fdnR0zfm9iOLdtE2WadjyHYecWSSuYNCbZzdcT0UPeBz7CL/euC9+dv4P8i3peMO1eP+M5WVkcuDL0XwfQ8rEX4asLO4bAuYx672As/V94cOwYtonyXi9eIXgffF9qXiOnjif4bnUeUblBEaVmD6krVlRW3pbqy/LyodWUly0Y9365i+aZY66DlhJ2rBfO2wG5WrsBuql2B1QWhc9WNKtlmz+C9uix4D/45V61RmWpQ6NCHXdXjpChf3gpfjsrmRX4Jge2Caf+ppEyPYxfc60VsYwXQqiY7HqwTOrE9rZL57wF/REzLxw6YK7ET27VYhRrZ5y30vv1JxaZgDbDKbjlhP/7I9yH8xxj2f17wIf9OlOadUfah2m1GzHsGu5hpE2Ve6MLw2upetzYPyirXe6LMezmYd0jE9Jzgs3g1xs98bJR5oWaYj2ERcg/sGWW5UAXcvZLXGE/Fi6C4fqfD3qvHosyL6bWoW7CmVyWvMbiy9zmYf0Aw//Ro380YHoNr8JmH8qNcWsn8W4P5O9XiOxsqb4sY1mmKNb9eB+wSMe+cYHtHVrLuc8H8dsH//YL/H6hk+dOJOFnATgRPw1riFWDdgg7C6iRP9ObM12B381piJ1SF2Em6p2LQuab7UJPHguC7Hvo+jY/Y1v4Ry/9K0JeYsLoPuzAILfMzsC1296uIsvw2bxCH40rY72NexLRJVF2HeaBjxLydg+kXRUz32Ml8tL767wTzO9WwPOH11BdBWTrVcR+7RFn+5mBenyjzmmO/h8dj/Q3W8PMIfX9eiTLv7mDe+VHmzQHm1/A1QvXu+Epefy3WtezeYLnjoyx3RTBvaCWvMZaIeg9rWr6WiIvisPnXButsEfHZRa2/w96rCie2tXytf36HUZavMI+yOnWPStbpUtn7HMwP5Xi5tZLvZk0fY8PWjdsxhKCrfSXztg+2c2eUeWdiwezwMj4Y+q2RwefqEd/ZThHTQ3XkN1S8qXVeMK8wbNqMYNpWUV7jRsLqaKy1ogfeibJsp9DnETF9PFHOTYgtWKO6UnVl5PKqK8vPq7SujFiu0vPtKtYJ7X9l79vGWIvh8PdgAZVc7wTrVHquWpNHLN2gpnjv945h+boINZHv4CLGhw+0w05wu2MBlZC53vu/avE6W1TyOo2B9Z1zrX3QPcB7vyIYaeQdrKn3UiyyW1nTqg99xaZgq51z72C5RjbDvkg11QO7yCjx0Ud4qasdsWDQ/1lr0XIahJWhUs6GbR0bMXmeD5o11sDHUab9Em2et65ov2MXnOFlaIQF0w7E3uOmEdtrF/kCPqwZZjDpDu/9s1HKsn7wvLCqnYiQqO/0e1Gm1fa1YrXce/9ZLdcNvXetwyd67wfXoTyVCX2RfQK2HZOg2+SjWODzQu/9jMhFguealjXmfQs+s/DPrRR40Dn3MfA+1j3y3oh1To/YzEzn3BDs93iIc+5iX9YlKpYyTfHe7+2c2wFrUv0hNkrR11hT+nOxvAMPVrIvjzvnCrEmxrdhwfQXXMXhxHPC/v4IazofUoJ1p9yC+BxXqlNZHVbgvf8hYtlQvbcRFc330UdTewM7kdmaiiOSVMo51xSr2z/x3td4vRjsiH0nRrrow2Iup/pjSwvKd2EFWOS9v7GGZajxsSVsXrkue0FXsSOwY1wv7OIp/GAZ7dhSEnQvPhNrcRDZtTakNseW7bHvbdNK6vvNg+ceWKu1kOrq72jHhtq+Vm3U9thU2bFlLBXPS2oq3seQGm8n+L7dhd3gOAa7w78a2AVrZTE7YjSoTDxXD1kYpW4K/X4/8cFVUZR54fXnNsF2onUTLQH+HSxzPzZyIVhLz3K89987577HWmXHm+pK1ZWxUF0ZrSDVn29HW+c8rPXdS1iuocj54eeqhxFxruqc29R7f06FnfD+cVvdNcJaVp1CcK7qvb+hunKlas6aVsHzXpQ/qY7UJOL/32r5OodVs1wTrDlWyGdYFL8XMM1Hz9sQ8nsl00N9CptXMr8y6wXPlQ2vW1etsO/FhVUsE/m+R+oSZf1XiT7sbzTR8p6sqWZeg4hpTwB7YE2CQ0ns1gRlOwzrgxrNFMqCNbdWsszy4LlxJfOjSdR3Otr82r5WrCr7btdE6L2rj2HlFwfP61Uyv3nEcgkRDMH5MNb3+zrv/cVRFqtpWUO/g7jtm/f+U+fc28AA51yn6i7YvfelzrmHseEY+2F31mIpE/DPAXUy9vvcz3sf+n197ZwbizUfHVVd+YHfvffjnXNtsJZA4cL3f3jwiBQqb12PK9WprA6rqt6LrN8gPY8tDvu+VKa6OqkFFY8t8ynLA1Gd2hxbIs+TbgH+L3jdJ7GLlFVB2f5N5ceWp7ELEEjMsWUQYfmsooh8b6urv6s6tsT6WrVR299dIo4t8TyGLIlxO4djF7wneu/vCZv+hHNuFdYa+gysa1R9q69z9ZDa/H6hfP3ZHDt/j+aXsGWg7HOqrLy/kphgjepK1ZWxUF0ZoYbn25HrnISlDngd2DuyEUYNz1VPd87d7L3/hSi85af5DDgidK7qnHvOex+ZU7KcRARr1gXPuVHm1fTkMVQRHOW9vzuG1441Ahd6naHe+wrJMKtwIRao+RMbJ30P7/1zlSy7QSXT20aUoaYWBc/R7rTGwxIsityhthvwNo59hWY59SW4y7QHlp9mD+/9urB5B1JJcM45tyFliTGbA3c55wb4iok9QxV3K6wLRU0k6jsdbX6sr1Xb32xdIuctg+dyB8GgwusSw3Ymee/nVbNM6MRsk0rmd8feg+9ieN2YOOdysdEx9gNu8d5HtvwIqUlZf/beLwv+/xYre1XLQ1kgpTqhoHRBHZavyT78hiUqBruz1BV4MuzgB1j7cufca1gyQqjZd/QlrN90uPADYYXfRdCypbn3PtrJY9JbZFUi3seW0ElPIo8ta7F8S9Un1Isi+K0n89jSFjgWu7O8U/j31Tm3I3YBEm29AuxmxQrs93qTc+7VKK1jw48tNRX6nC/z3p8Xw3p1ObbE8lqeKL9b51yV54NRWknUVGXHlr2xFhM19bT3/qPg73geQ74B+jrn2njvIy+yotXXuwXPJVG2FZq2bQ1eN1I6navH0xLK6shIkXVnqE5sE2XZ8OXjTXWl6sp/qK6scV0JxHS+Hb7O8djgD29hOR6jBbBqeq66BWWB36qEzlX7U3EAkHISEaxZFDy3jzKvpgeUd4LnvlgfyUQJf50aBWuCETvOxhI67Y8NvXWvc27LKF8mgG2dcwXhH3wQndsBq4y+irHMX2GJjHZyzjX13i+NcX2wgwDOudwogYh3gOHOuY5RmuSni42D5+fCAzWB/tFWCEYImIhdAO2FfSfOxu5sjI9YPNRtrTvRm4NGU1/f6dq81qLguS6/2VhtGjxHdgEcS9V3ISKVUM2oClgl+DPQ3znXOOKkoTXWf/pdn6CRoIIDx/1Yi607vPcnVrH4bOzO065RtrM1dnL4SGia9365c+5dLLt+h/BuMUE9U4jte2V3EiPLuR1216Cmo9TtEDzPi3EfplIWUAkFSFpHLh8ID0rU5DsaLdgwM+zvcr+L4DvQmhq8Rymmc+RnHgjVcTWtmwDw3i91zn0BbFaTllWVCB1Pol0AvoN9v7bHumqlo67YBdDLkSdrVHJsCdyAdcf9N3bcvxO76zw2YrnwY0tNvYud5PeNYZ3aqs1rLSI1ji17U30r6nDzKBvJLJ7HkFex928oFbt3FgXPr4VNq6p+DNWNtbmgXxQ8p8O5ejx9BBQ657bw3kd2PxkUtgzY0NRgeXHKcc51wvLWJILqStWV4VRX1qyujPV8O7TO/2HfsXeB4VVcV9f0XLWm9XHoXLXaEapyqlugFr7CMqrvGfSZBMA51w3LIVIt7/3bWGU1zjm3Z+R851wD51yFyrMWnsZaRpwV9EOLfJ3GQQQ49H9zLFq3Ahv3/XtsiOg2ROR4CNMKS+YZ7gTsB/mY9z6mIWCDZlkTsC/LNS4isYxzrk3Q/Ksqob7C0SqFW4Lne5xzFZqfOee6OstJk8pCFxnlDgjOub7Y8LPRnIB1jZjgvX8Gaz31PnCes+Hdw4X6L1f4zlSmHr/TMb+Wt+Hm5wA7B7/T0HIbUH6oxHgKBSvfCZ/ovR/svXcxPEqqe6HgrsNE7G5hZF/Si7Em0pEtLdZzzvVwzlXoUx2LoM/2RGA0cA/WJLiqsi7GkjJ2d84dEbadXMr6z0aeFN+DnRRdHlEfnEJQN4XfeXHO9Q22F17OXOAqLKHic+F3sZxzWznnmkXZt32xZHK/EDbsYw33YXLYpj7F7kLt7CwPTvhrbIkFxZcSdlxxzu3knGsYeVxxNszqv4gYBjboqvpK8O/hod9F8H6FyvRkvH6D9SQPyy/0j+Az2QF4vZbBltuxURL/45xrGLHt5s7y2lSlqmPLbVgw59ZovyvnXFvn3OYVV0spofd0p/DfmnNuUyy4X4FzbiR23JmO3eW7C+u6cphzrjhi8TewE/xYji2/YL+3Ic65Y6O8fo5zLpYAeLxf632ga/hvyznXBBsVIxFC7125k3jv/dgYjy2TwtaN5zFkEvY7ODe8XnXO9QP2BGZ578OHon0zeD47/DcZHFtC3VxqM+xuOp2rx9N/g+crwo+DwW/4aKw1zRQA7/187Hxvh6BuDXcJ0YPS8aC6UnVlaDnVlTWsK2M93w7WORrL/fUBlvC3qhbJNT1X/SBs+k6R51LB9PBz1Wpz6cTSsqaHi54kCcKSVnnvVzrnbscCFB8456ZgAYt9sCY/kRVeZcZgd0Ofcc69jkXt1mAXEwOwk8IqE2xVJyhrMTYu+mzn3HRsaOg8rCvGIKxJVCi/wW3B9GO8998E23jKOXcP1v/sOO99ZP/KN4BTgwv+D7HuUyOxyGPUCqsGzscCEf/C8ktMx5qVbYpFG9tSdtckmpnYl+oR59yLWBTwDe/9G977551zVwRlm+Ocm4aNErMBlhCrL/bZzKtl2evD21jCrVHOuja9iw0DOBKr+PcLX9g5twV2ofoNcDL8kwT6IOxH94BzbpuwC9iPsD64FVoOVCPh3+k6vNaNWIX1lnPuMSyCvCcwi9juXFTLWTPXvljiuFo18a2FK7HP/zznXG+s1cGOWMuTV7AKPtw+wbT7iLij45y7lrLIeug9vM1Z/gCw0eVC3YMuAA7Bfo8/ARe6iom7I7tynYGNMnCXc64Iay66Kzb84H2+YpfNe7G7CIcA3YLPe3Oshdin2Hc73B1AK+fcLCxYvR4wMNiXeVjgMtzhWIBjBva9X4fd6RmE9Rs/LMqdsyr3AfteEbzmWdgJ8R7AS865r7Aupo2x+rIRNhx4F4LjCnbAb43V1XOxY8xBWN3ogn2ITEp4LFY3tMR+Fz8G62+IHYCPwO4oxes3mGj/A4YFn+Nr2G+7GDtZOL6W27wVGxJzL+Ar59xUrD97N6w7xs6U3UGLZib2Gd3hnHs8WPcT7/1z3vtPnHOhz+Vr59zz2PetJVbH7Ix9fl/UsuwJ573/yTn3FFY/vOucm4ndHRuJDQUceWzZEDtp/BMbKSIUND0Cu5t5p3PurVDrKO/9n8HnOdg5l+crH7gg0rHY9/Y259yR2AX0UuzO/05Y0Da/tvtdx9e6Cfvtv+Ccewg7Du2GnQ8lwi7AR8GFdjzF5Rjivf/SOXcpFmj52Dn3JJbDYzT2e4m8sLsVu8s9FPg8OCcLJRjeEjtvuTnYBmTguXqc/Rc7/x0BfOicewGrgw7EjjkHRVywnYCdxz8anBvNw45t7bE6eCviTHWl6krVlbWqK2M633bO7YKdD4Odk54UZfmS0E1hbwMMnYXFAqY5557B6t+OWH3ZCBu5bFnY+lcAmwd143yskcxm2LW6A07w3lffkt1XP4RVF6oftmtexDp5WCTwRywQ8Ak22sZgogyHRSXDlWHZvq/AAijLsRPqL7Af9JCabKMmD+yH8x8s/8NKLEP2J1grk+2DZUYFrzElyvpNgg+slGDs+LD3bRLW9296UP7QXeeuUbZTYR+oZJht7KBydlDO5cF2PyKIXFazzQZYMrofKBsKMvIz2Q0bYvcPLPK3ALt7cyrQujbvcw0+h7FEDAMXNm9SMK9LlHnzonwH2wbr/BR8Lu9jF3PlvoPYj+tj7ORnhyjbPiZY/r6I6ecH03tGWWd8FWWNy3e6qveqNq8VLH8y9htYhbW0OQlryuqJPnT3vCpee3Bl5cMqWo/1C43796iKMrXEftOheuk77O5YfhXv76Qo8+ZRdX3YJWzZSdUs64ky/DjQATtw/RaU9QuspUxuJfvWONiX74Llfwz2tUWUZU/Eun3+iLVuWoaddF5ayfLDseSA32EnGiuxAMndwGZVvN+V7gM1O66sxU7qdg+2F35cWY3Veb8F322PHaAfBPpW9vsJXveRYJ89Fnhaid1ljttxhdiHta6wfFh5o/3+PHZs6BJ8NguDfZoObFOX8gSfz7FYkHtZ8Jl/jh0zWtSgzGdj9cjqSsq+E/AYdsNiFdYyazZ2olXtkOG1/O0PJspxLpg3nsp/hyVEHH+x0RhvxE68VmDJAk8koq7ETsReDKbtW8nvah12Vy0nbPohVFI/EmU42rB5TbA7mR+GfW7fYEkW941YNupnV917VZvXCpY/KHifVmHnHZdg5yE1PueJ8puI9lnuFMz7vwR9j+JyDAmb/wFWf/2F/Y43r+J1r8YGTFhBWRf6a4GWEe9LVY/IOiBtztUr+85SSR0Z8RmMjZjeAEtg+1nwXi7CjjWDKnntbbG6dRlW1z6BBaMqfFeJw9DdEd9n1ZWqK1VX1qCuJMbz7bDXreoR7b3bDWvk8Sd2Df0XYeeqEcvuj/2Gvws+/5XBd+qfc9WaPFywMYkzZ12F5mIX+WOTWxqJN2fJ074F7vLenxIxbzwWCe7qq09+m5Gcc4Oxu23jfMSQ7c65l7AAaU9fMWeSiFTDOeeBV31ihrqXJHLO5WMn8+967/eNmDcWuwNZ6GvQBTQThZ1bXeS9Hx8xbwJ2h7Orr7o5u4ikOdWVVVNdmTkSkbNGJON573/F7jQf42z4NamBoDvgrsDZCtSIiJTnLfHiBcDeQT94qQFnCV8Pw0Zf0cWHSIZTXVk7qivTTyJGgxLJFtdgTTO7YN0xpHrrA6d7759MdkFERFLUfVgupXZUHKlDouuENbOPzBsoIplLdWXsVFemGQVrRGrJ2/BuF1W7oPzDez8VG7ZZRESi8N6vw3KASA15798gfYc5FpFaUF0ZO9WV6UfBmgQJcpVUSCstWaEkeF6UxDIk2zwskPVRcoshknm89zq2ZKePsHp1XnKLkVSLsPegJLnFEJEU9hGqKxehujIjKMFwHLVu3dp36dIlpnWWLVtGkyZNElOgJMrE/crEfQLtV7qpzX69//77f3jvN0hQkVJKbephyMzvSybuE2i/0kkm7hPUfr9UF1dN35f0kYn7BNqvdJMN58RqWRNHXbp04b333otpnZKSEgYPHpyYAiVRJu5XJu4TaL/STW32yzk3PzGlST21qYchM78vmbhPoP1KJ5m4T1D7/VJdXDV9X9JHJu4TaL/STTacE2s0KBERERERERGRFKJgjYiIiIiIiIhIClGwRkREREREREQkhWRcsMY518E5d4tz7i3nXKlzzjvnutRw3Xzn3DXOuZ+dc8uDbQxMcJFFRDKK6mERkeRTXSwikt4yLlgDbAIcACwEXo9x3XuAo4ALgBHAz8A059w28SygiEiGUz0sIpJ8qotFRNJYJgZrXvPet/Xe7w48VtOVnHNbA2OAk733E7z3r2AHuO+BixNS0pkz6TtqFMycmZDNi4gkSfrUw6C6WEQyVfrUxaqHRUQqyLhgjfd+XS1XHQmsBh4J29YaYDJQ5JxrFIfilZk5E0aMIP/XX2HECB2cRCRjpE09DKqLRSRjpU1drHpYRCSqjAvW1EEvYK73vjRi+mdAQ6wpaXwEByVKg5cqLdXBSUSkPuthUF0sIhKdzolFRFKAgjVlWmF9eiP9FTa/7iIPSiE6OImI1E89DKqLRUQqp3NiEZEUkJfsAqQQB/hKple+knNHA0cDtG3blpKSkipfpO/o0eRHHpRCSktZMXo0sydPrkFxU9vSpUurfS/STSbuE2i/0k2m7legXuphyI66OFO/K9qv9JGJ+wSZu19hdE4cR5n4fcnEfQLtV7rJ1P0qx3ufsQ/gSOxg06UGyz4CfBVl+gHBNnpVt43evXv7as2Y4X1BgfdQ8VFQYPMzwMyZM5NdhLjLxH3yXvuVbmqzX8B7XvVweVlQF+s3kF4ycb8ycZ+8r/1+qS6OkAX1sPeZ+TvIxH3yXvuVbtLtnLg2D3WDKvMZ0NU5VxAxvSewCpgTl1cpLISpU6Eg4mUKCmx6YWFcXkZEJA3VTz0MqotFRCqnc2IRkRSgYE2ZZ4AGQHFognMuDzgQmO69Xxm3V4o4OK0hl7VTdFASkaxXf/Uw/FMXr23UGIB1OXm6QBARSeI5scfhpzyjelhEhAwN1jjn9nfO7Q/0DibtFkwbFMzv7Jxb45y7ILSO9/4jrNnnjc65I51zQ7AhCrsCF8a9kMHBaWXDxqwgnxmrB8T9JUREkiUt6mGAwkLcc89RSmOW5xRAv34JeRkRkWRIi7o4OCdemt8Sh+e775VSU0QEMjRYAzwWPP4V/H9b8P9Fwf8OyKXi/o8DJgKXAs8BHYHh3vsPElLKwkK+PP1MmrKMt295OyEvISKSJOlRDwM5Qwq5tv8EmqxZwvKHn07Uy4iIJEN61MWFhcy491GWUcCftz6ckJcQEUk3GRm69t5Xma3eez+PKBntvffLgVOCR734e8ftWOdyaPDKNJYv70/jxvX1yiIiiZNO9TBAy+IezJvVmfxrJ9B47IH1+dIiIgmTTnVx83Z5zG6zF70/egy/8mZco4b19dIiIikpU1vWpI01zZrxd48dGLxqGlOnJrs0IiLZqdeWf/NYsyPY8LNX4Lvvkl0cEZGstHLf0bRY9xfz734p2UUREUk6BWtSQLP9i9ied3lm0l/JLoqISFbKyYG/9x/HWnJYdfs9yS6OiEhW6n1OEX/RksV3qCuUiIiCNSkgZ7cicvCsnfYyCxcmuzQiItlp6LgOPM/urL17IqxZk+ziiIhknbYdG/Jmu/3Z5LOn8ctKk10cEZGkUrAmFWy/PWuatWDI2mk8+WSyCyMikp3694cnWx5J40U/w/PPJ7s4IiJZac0Bo2nil/HD7c8muygiIkmlYE0qyMsjt2hX9sibxkMP+mSXRkQkK+XkQPPRe/Az7Vhz+4RkF0dEJCv1PX0gP9GOZXerK5SIZDcFa1KEKypiwzUL+HXm5yxYkOzSiIhkp/0OzONexpEz7Xn48cdkF0dEJOts2D6XWe0PZOOvX4BFi5JdHBGRpFGwJlUMG2ZPTOORR5JcFhGRLNW/Pzzb+nBy/DqYNCnZxRERyU5jxtDQr2LBLcoPICLZS8GaVNGpE/ToQXHzaTz0ULILIyKSnXJzoc+BGzMjZwjr7r4H1q1LdpFERLLOgJP7MIeNWTlRJ8Uikr0UrEklRUVsX/oan72/nK++SnZhRESyU3Ex3LnuKHLmz4OXX052cUREss6G7RyzOo2m89yZ8MsvyS6OiEhSKFiTSoqKyFuzgkG8ptY1IiJJsvPO8FabvVnScH24++5kF0dEJCvlHTyaXNbxy82PJrsoIiJJoWBNKhk0CBo14ohO03noIfAaGEpEpN7l5sKe+zdi0tpD8U8/Db//nuwiiYhknV2O78lHbM3q+zUqlIhkJwVrUklBAQwYwK5rpjFnDrz3XrILJCKSnYqL4Y61R+JWr4b77kt2cUREsk67djC762g6/jgbvvsu2cUREal3CtakmqIiWv70GV0b/KiuUCIiSTJgAPzVtidfrt/PukKpqaOISL1rPHYUAL/dPDnJJRERqX8K1qSaoiIATtliOpMnw9q1SS6PiEgWys2F/faD65ccBV99BW+8kewiiYhknWFHdWYW/fAPqyuUiGQfBWtSzRZbwEYbsVfjafzyC8ycmewCiYhkp+JieHB1MasbN4cJE5JdHBGRrNOuHbyz8Rja/vYpfPJJsosjIlKvFKxJNc7BsGF0+OIlWjRbq65QIiJJMmAANGvbhJntxsBjj8GiRckukohI1ml2eDFryOWPW9S6RkSyi4I1qWjYMNzChZwy8D2eeAJWrEh2gUREsk9uLuy7L1z001FWET/4YLKLJCKSdXYf24ZXGELu45OVP0xEsoqCNalo6FBwjjHrT2PJEnj++WQXSEQkOxUXw5srtmNh1+2sK5QuFERE6tVGG8H73UfTcuFcePvtZBdHRKTeKFiTilq3ht696fbNNNq21c1cEZFkGTgQ2rSBJ1oeCR9/DO+/n+wiiYhknVZH7MMKGvHXbeoKJSLZQ8GaVFVUhHvnbcbts4jnnlOqBBGRZAh1hTr/izH4ggIlGhYRSYI9D16P59iDhk89AmvWJLs4IiL1QsGaVFVUBGvXcniXGaxcCU89lewCiYhkp+Ji+GX5eszf8QB46CFYujTZRRIRySrt28OHm42m6dJfoaQk2cUREakXCtakqr59oVkzNvl2GhtvjEaFEhFJkoEDYYMN4F53pAVqHn002UUSEck6Gx6xB0toxqI71BVKRLKDgjWpqkEDGDIEN30aY0Z7ZsyAn39OdqFERLJPXp51hbrurX6s67G5ukKJiCTB3qMb8xT7kP/cE7ByZbKLIyKScArWpLKiIpg/n7H9vmbdOnjkkWQXSEQkOxUXQ+lyxyc7HgWzZ8Onnya7SCIiWaVDB/hfz9Hkr1gML7yQ7OKIiCScgjWprKgIgG7fTGO77dQVSkQkWQYNsoH6/rP4EGjYEO6+O9lFEhHJOl2OGMLvtObvu9QVSkQyn4I1qaxrV9hkE5g2jTFj4N134Ztvkl0oEZHsE+oK9fBLrVkzch+4/35YsSLZxRIRySr7HNCAxygm/+VnlexdRDKegjWprqgISkoYtc9KnIOHdSNBRCQpioth2TJ4q9dR8Ndf8OSTyS6SiEhW6dABPtliDA1WL4cpU5JdHBGRhFKwJtUVFUFpKe3nvsHgwfDgg+B9sgslIpJ9Bg+2rlC3f1loLR/VFUpEpN5tNq4f39ORpXfrDqaIZDYFa1JdYaGNDBV0hfr6a/jgg2QXSkQk+4S6Qj0zNYfVhx0JM2fCnDnJLpaISFbZ/4AcJjOKxq9Ngz//THZxREQSRsGaVNe0KfTvD9Ons99+FrdRomERkeQIdYV6ucNYyM1V6xoRkXrWoQN8vtVoctetgccfT3ZxREQSRsGadFBUBB9/TMuVv7D77jB5Mqxdm+xCiYhkn1BXqPtf2Qj22AMmTYLVq5NdLBGRrLL1YdvwBT0ovVddoUQkcylYkw6CIbyZPp0xY+Cnn+DVV5NbJBGRbJSXB/vsA88+CysPPQp+/RWmTk12sUREssr+xY6HGU3jd1+DH39MdnFERBJCwZp0sPXW0KYNTJvGnntazyh1hRIRSY7iYhsx9kWGQ/v2MGFCsoskIpJVOnaEL7YejfMeHnkk2cUREUkIBWvSQU4ODBsG06fTuNE69t3XuuiuXJnsgomIZJ/CQlh/fXj0yTwYNw5efBF++CHZxRIRySo7Hdqd9+jNiknqCiUimUnBmnQxbBj88Qd8+CFjxsDixfDCC8kulIhI9inXFergI2zivfcmt1AiIllm//3hIcaQ/+n78M03yS6OiEjcKViTLoYNs+dp0xgyxHpFPfhgcoskIpKtiovh77/hxS+7wNChcM89yvwuIlKPOnWCb7Y9kHU4eFita0Qk82RcsMY519E597hzbrFzbolz7knnXKcartvJOXefc+5751ypc+5r59ylzrkmiS53tdq2hW22gWnTyMuDAw+0u7pLliS7YCIi2aewEFq1gkcfBY480rpBvfRSsoslIpJVCg9uz2sMZNV9D4H3yS6OiEhcZVSwxjlXAMwAegCHAYcA3YGZ1QVcgvkvAwOB84E9gLuBU4HUaN9eVARvvglLljBmjOWseeqpZBdKRCT7NGhQ1hVqRdFeNp63Eg2LiNSr/feHhxlNw+++go8+SnZxRETiKqOCNcBRQDdgb+/90977KcBIoDNwTDXr9scCO8d47+/z3s/03l8N3ATsFwSCkquoCNasgZISdtwRunbVqFAiIskS6go1bWZDOOwweOYZG8pbRETqRadOMHe7/VlDnrpCiUjGybRgzUhgtvd+TmiC934uMAvYq5p1GwbPkR2LFmHvk4tTGWuvf39o0gSmTcM5GDMGXn5Z1wYiknoytktqmF12sa5Qjz2GdYVaswbuuy/ZxRIRAbKjHgYoGrM+L1LEmgcmw7p1yS6OiEjcZFqwphfwaZTpnwE9q1n3ZeAb4CrnXE/nXFPn3C7Av4E7vPfL4lvUWmjY0BIlTJsGwEEH2THpkUeSXC4RkTAZ3yU10KAB7L23NahZ0aUHDBgAd9+tvAkiknTZUg9DWVeovJ9/gFmzkl0cEZG4ybRgTStgYZTpfwEtq1rRe78C2Bl7Tz4D/gZeAaYCx8e3mHVQVATffgvffsvmm1vOYXWFEpEUk9ldUsOEukJNn461rvnmG3j11WQXS0Qka+rhzp1hQe+9WOEaqyuUiGSUvGQXIAGi3dKstguTcy4feARog919+B7YAbgAWAMcW8l6RwNHA7Rt25aSkpKYCrt06dKY1mncogU7Al/fcgs/7b03O+7YkTvv3JgHH5xN+/YrYnrtRIp1v9JBJu4TaL/STZrsV9Quqc65UJfU66tYN/W7pIYZMgRatrSuUCPv3B9OPNFa1wwenOyiiUh2y5p6GGDEqKZMeX9P9n/kMXJvusmaPoqIpLlMC9YsxFrXRGpJ9BY34Y4ABgObeO+/Daa95pxbDNzlnLvDe/9x5Ere+7uAuwD69OnjB8d4gl5SUkJM63gP55/PpnPnsungwWy8Mdx5J8yd25eDDorppRMq5v1KA5m4T6D9Sjdpsl+9gClRpn8GFFezbniX1GMpC5ynTpfUMKFRoR5/HFbeXUCjgw+2YM3NN1tCGxGR5MiaehisK9S/Tx/DgX89Cq+8AsOHJ7tIIiJ1lmndoD7DDk6RegKfV7PulsDCsEBNyDvB8+Z1LFt8OGddoWbMgFWr6NgRBg6EBx9UmgQRSRmZ3yU1THExLFkS1hVq5Up44IFkF0tEsltW1cNdusAfvYezJLeF8gOISMbItJY1zwDXOue6ee+/A3DOdcH63p5Vzbq/AC2dc5uENxkFdgyeF8S7sLVWVGTNad56CwYN4qCD4Jhj4KOPYNttk104ERGgHruk1rU7KtSte1lenqNZs37ccsufNDtnEdttthk5N97Ie1tuaQH2JEmTLnMx036lj0zcJ0ir/cro1ACRtuzTkcfe35dDH5vMWwcdxLpGjWq9rXhKo+9LjWXiPoH2K91k6n6V473PmAfQBJgDfIL1xx0JfAx8BzQNW64zdrC5IGxaF6xv7tdY1vxC4PRg2ntATnWv37t3bx+rmTNnxryOX7TI+9xc788+23vv/R9/eN+ggfennRb7phKlVvuV4jJxn7zXfqWb2uwX8J6v37r4V+DOKNNvA36vZt3jsAuMjSOmHxVM37qq9WtTD3tf9+/LuHHeN2/u/YoV3vs77/QevJ89u07brCv9BtJLJu5XJu6T97Xfr/qsi5NZD/v6PCcO89133g/hJat/H3usTtuKp0z8HWTiPnmv/Uo36XBOXNdHRnWD8taHdhcs4HI/8CAwF9jFe780bFEH5BLWDcx7Pw/oC3wEXAo8jx2U7gKGeu/XJX4Pami99WCnnf4Zwnv99a1r7sMP21DeIiJJlvldUiOEukK99BIwahQUFFjuGhGR5Mi6erhrV/i7dyF/5rXVqFAikhEyKlgD4L3/3nu/n/e+ufe+mfd+7yAQE77MPO+9896Pj5j+uff+AO99R+99Y+/9pt7707z31SUnrn9FRfDBB/D77wCMGQMLFsDrrye5XCIi1iW1r3OuW2hCWJfUZ6pZ958uqRHTU69LapghQ6BFCxsViubNLWDz8MM2rreISP3LunoYYP8Dc3lgzYGsm/ocLF6c7OKIiNRJxgVrskZRkT2/9BIAI0dCkyaWaFhEJMkmAPOAKc65vZxzI7FRSX4A7gwt5Jzr7Jxb45y7IGzdSVgyy+edc4c55wqdc6cD1wLvA7PqaR9i0rAh7L03PP205RfmqKNg2TKYPDnJJRORLJV19TDYqFAPM5qcVSvhqaeSXRwRkTpRsCZdbbed9X8KukIVFIQNH7syyWUTkayWNV1SI5TrCrXjjtCrl7pCiUhSZGs93LUrrO29IwsadVVXKBFJe5k2GlT2yM2FoUNtrFjvwTnGjLHRYqdNs5Y2IiLJ4r3/HtivmmXmEWVkEu/958ABiSlZ4uy6a1lXqBEjnLWuOekk+N//YKutkl08Ecky2VgPAxQf4Jj0/mjOeeUq3K+/Qtu2yS6SiEitqGVNOisqgl9+sQsB7EKhdWt46KEkl0tEJAs1bAh77QVTpgQtHA85BBo1ggkTkl00EZGsUVxsXaHc2rVBIjERkfSkYE06GzrUnoOuUA0awAEHwDPPKKeliEgyFBdbTsuXXwZatYJ997Umj8uXJ7toIiJZoWtXyO+9BXMab6GuUCKS1hSsSWft28MWW/wTrAE46CC7Jnj66eQVS0QkWw0dCuutF3Yz96ijYNEieOKJZBZLRCSrFBfDvctHw5tvwvz5yS6OiEitKFiT7oqK4I03bNQRYKedoEsXdYUSEUmG8K5Qq1YBgwfDJpuoK5SISD0KdYUCNCqfiKQtBWvSXVGRXRGUlADgHIwebaOR/PZbcosmIpKNDjjAGtO8/DJWKR9xBLz2Gnz9dbKLJiKSFbp1g1bbdeWTpn11B1NE0paCNeluwABo3NhGhQqMGQNr18KjjyaxXCIiWapCV6ixYyEvT8N4i4jUo+JimLB0tA3E8fnnyS6OiEjMFKxJd/n5MGhQubw1W2xho8TqRoKISP0LdYV6+umgK9SGG8Kee8KkScEEERFJtOJieJQDWOdylGhYRNKSgjWZoKgIvvqqXAK1MWPgrbfgu++SWC4RkSxVXGxdoV55JZhw5JHw++/w7LPJLJaISNbYeGPYaNsNea/ZLhas8T7ZRRIRiYmCNZmgqMiew1rXjBplz8qpJiJS/4YOhebNw7pCFRVBx45KNCwiUo+Ki+GOJaPh22/hvfeSXRwRkZgoWJMJevSwi4CwYE3nzrDzzvDgg7qRICJS3xo1KusKtXo1kJsLhx9u+cXmzUty6UREskNxMTzJvqzJbaj8ACKSdhSsyQTOwbBh1t5+zZp/Jo8ZY/nU/ve/JJZNRCRLFRfDwoVhXaHGjbPniROTViYRkWyyySbQbdsWzGq+GzzyiI3AISKSJhSsyRRFRbB4Mbz99j+TiottABLdSBARqX/DhllXqH9G5uvc2erqe+/VBYOISD0pLoZbF46Bn3+G115LdnFERGpMwZpMseuukJNTritU69Z2XfDww7BuXRLLJiKShRo1gpEjw7pCARx1FPz4I7z4YjKLJiKSNYqLYSojWNWoqUaFEpG0omBNpmjZEnbYoVywBqwr1A8/wKxZSSqXiEgWq9AVasQIaNMG7r47qeUSEckWm2wCm21TwMxme8Hjj8OqVckukohIjShYk0mKiuDdd+Gvv/6ZNHIkFBRYomEREalfw4ZBs2Zho0I1bAhjx9oQ3j//nMyiiYhkjeJiuPmP0RY9j7ixKSKSqhSsySRFRTb008sv/zOpaVPYe2+7UNCNBBGR+pWfH6Ur1JFHWs6aSZOSWDIRkexRXAzTGcbyJuurK5SIpA0FazLJ9ttDixZRu0L99ZeNGCsiIvWruNjq4Bkzggndu8OgQXDPPUooJiJSD7p3h15bN2Ba0/1hyhRYtizZRRIRqZaCNZkkL88SDU+bZi1sAsOGwfrra1QoEZFkKCqK6AoFlmj422+hpCRZxRIRySrFxXDDr6OhtBSeeSbZxRERqZaCNZmmqAgWLIDPP/9nUoMGdoCaMgWWLk1i2UREslB+Puy5Jzz1VFhXqP32s8TwEyYktWwiItmiuBheZwB/r9deXaFEJC0oWJNphg2z5yhdoUpLLWAjIiL164ADrCvUzJnBhPx8OPhgePJJ+PPPpJZNRCQbbLopbLlVDlObjIIXXyw3IIeISCpSsCbTdOoEPXpUCNb072+z1BVKRKT+VdoVatUquP/+pJVLRCSbFBfDtT+NtmaOTz6Z7OKIiFRJwZpMVFQEr70Gy5f/MyknB0aPthjO778nsWwiIlkoaleoLbeEHXe0rlBhecZERCQxiovhA7Zj4QbddQdTRFKegjWZqKgIVqywgE2YMWNstNjHH09SuUREslhxsfV4KpdT+MgjLcfY7NnJKpaISNbYbDPYaivHU/mjrTL+6adkF0lEpFIK1mSiQYOgUaMKXaG23BJ69YIHH0xSuUREslhRETRtGtEVatQom3jxxdClS1hSGxERSYTiYrj6h9HWovHRR5NdHBGRSilYk4kKCmDAAJg+vdxk5+Cgg2DWLJg3LzlFExHJVo0bW1eoJ58M6wrVtKkF2F98EebPhxEjFLAREUmg4mL4ih781mFbjQolIilNwZpMVVQEn30GP/5YbvKoUfY8eXISyiQikuUqdIWaORNeeaVsgdJSBWxERBJos82stfnjeaPhnXdgzpxkF0lEJCoFazJVUZE9R7Su6doV+vVTTjURkWQYPjysK9TMmRaYWbGi/EIK2IiIJFRxMVw170D7R3cwRSRFKViTqbbYAjbaqELeGrBEw598Yg8REak/jRtbHOapp8CPHWeBmWhKS2HcuPotnIhIliguhu/pxIKNB1hXKI3IJyIpSMGaTOUcDBsGL71kQ0CFKS6G3Fy1rhERSYbiYvjjD/jghImWYyyaggKYOLF+CyYikiV69LD7mpMZbSPy6Q6miKQgBWsy2bBhsHAhvPdeuclt2tishx+GdeuSVDYRkSy1227QpAnc9U0hTJ1aMWCTl2fTCwuTU0ARkSxQXAxXfbs/XncwRSRFKViTyYYOtRY2lXSFmj8f3norCeUSEclioa5QTz4JawZEBGzy8mDNmspb3IiISFwUF8PvbMD3mw61vDXqCiUiKUbBmkzWujX07h01WLPXXnbBoBsJIiL1L9QV6tVXsRY0U6dC587w9NOWb+y44yp0YRURkfjZfHPo1QseXDdadzBFJCVlXLDGOdfROfe4c26xc26Jc+5J51ynGNbf3Dn3mHPuD+fccufcV865fyeyzAlVVARvvw2LFpWb3KwZjBwJjz4Kq1cnp2giItlqt92s8cxjjwUTCgth3jzYYw+47jp4/32YMCGZRRQRyXjFxXDVV3vj8/MtP4CISArJqGCNc64AmAH0AA4DDgG6AzOdc01qsH4f4G2gEXAksDtwHZCbqDInXFGR3Z2dMaPCrIMOsju7L72UhHKJiGSxgoKwrlBrImYeeKAFb845xyppERFJiOJiWEJzvt18hN3BrFAhi4gkT0YFa4CjgG7A3t77p733U4CRQGfgmKpWdM7lAPcBr3jvRwbrz/Te3+W9vz7hJU+Uvn2tGU2UrlBFRdCypbpCiYgkwwEHwO+/w2uvRcxwDv7zH/j7bzj77KSUTUQkG/TsaY/7Vo6G336D66+HLl1g5sxkF01EJOOCNSOB2d77OaEJ3vu5wCxgr2rWHQz0BNI3MBNNgwYwZIgFayISpzVsaHcUnn4ali1LTvFERLJVha5Q4Xr2hJNOgrvvtq6sIiKSEAccANd+vjvrGhdYi8b5863powI2IpJkmRas6QV8GmX6Z1ggpio7B8/5zrnZzrnVzrnfnHM3O+cax7WU9a2oyA48X39dYdaYMRaoUesaEZH6VWVXKIALLlCyYRGRBCsuhr68BStXltW1paUK2IhI0mVasKYVsDDK9L+AltWsu1Hw/AgwHRgKXI3lrknvUEZRkT1H6Qo1cCDstBOcdx4sXlzP5RIRyXLFxdbyvkJXKLAurEo2LCKSUD1/ncnzbgQ56yKC4grYiEiS5SW7AAngo0xzNVgvFLh6wHt/QfB3iXMuF7jSOdfTe/95hQ07dzRwNEDbtm0pKSmJqbBLly6NeZ3a2KF9e5Y/9BCfbLVVhXmHHdaUY4/tzZFH/shxx30bl9err/2qT5m4T6D9Sjfpsl/OuY7ADVjg2wEvAyd577+v4fqbAxcDhUAT4HvgNu/9TYkpcXLsvntZV6hddomywIEHwl13WdP8/faDDTao9zKKSHpSPVxD48bR2JdGn1daCuPG2Wh9IiL1LNOCNQux1jWRWhK9xU24P4PnyLGRpgNXAtsAFYI13vu7gLsA+vTp4wcPHlzz0gIlJSXEuk6t7L03BRMnMninnaBRo3KzBg+2G7cTJ3bkoos60rO6DmM1UG/7VY8ycZ9A+5Vu0mG/wkbmW4mNzOeBS7GR+bby3leZJSsYmW8GUIK1blyMjezXNIHFToqCAhut+8knLadwbuTYg6Fkw1tvbcmG7747KeUUkfSiejgGEyeybvcR5KyIErApKICJE+u/TCIiZF43qM+wvDWRehIl0BJlXajYMifUKmddHcqVfEVFdnfgjTeizr7sMmjaFE48sUIeYhGRWGlkvhhU2RUKypIN33MPzJ5dn0UTkfSlerimCgvJeX4qy11B+emNG8PUqVBYmJxyiUjWy7RgzTNAX+dct9AE51wXoH8wryovYHcfhkdMDxK+8F6cypgchYU2MlSUvDVgLesvuQReecXu8IqI1IFG5ovB7rvbNUHUUaFClGxYRGKjejgWhYVMPngqywgL2OyyiwI1IpJUmRasmQDMA6Y45/Zyzo0EpgA/AHeGFnLOdXbOrXHOhXLT4L3/E7gC+Jdz7nLn3K7OubOAC4D7wg92aalpU+jfH6ZPr3SRf/0LttwSTjnFGuGIiNSSRuaLQZMmsOee8PDD8NdflSzUrBlcfz188IHlsBERqZrq4RjtcGYhI5jKovU6w/77wwsvwP/+l+xiiUgWy6hgTdD/dhfga+B+4EFgLrCL935p2KIOyKXi/l8MnAEcADwPHAtcgzUlTX9FRfDxx/DLL1Fn5+XBLbfA99/D1VfXc9lEJJNoZL4YnXuujch32WVVLHTAAXan99xz4fff661sIpKWVA/HqFcvWH+/Qjqsmcevl9wFLVrYHUzlBxCRJMm0BMMEGe73q2aZeUQZIcp777Emn5nZ7LOoyBJUTp8Ohx4adZFBg2zwkauugrFjoUuXei2hiGSOehuZr66j8kFqjLI1fPhm3HxzW3r3foeNNloRdZmCQw6hz6uv8uvYsXx1+ulVbi8V9ikRtF/pIxP3CdJqvzRCaoz22acxTz+9PUeevpzrDzqI7rfcwidXXMGf/frVepupsF/xlon7BNqvdJOp+xUu44I1UoWtt4Y2bSxvTSXBGoBrroFnn7WbCcpfIyK1UK8j89V1VD5IjVG2uneHTTeFKVP68sgjVSz4+ee0u+Ya2p1/PvTtW+liqbBPiaD9Sh+ZuE+QNvulEVJr6d134ZZbNuLK96+Dl15iy/vug9NOg4YNa7W9VNmveMrEfQLtV7rJ1P0Kl1HdoKQaOTkwbJi1rFlX+eBWHTvCOefAU0/BS5GHaRGR6mlkvlpo396uBx59FN56q4oFzz/fFlayYRGpnOrhWjr/fEsTdsa5DeDaa+Hrr+H225NdLBHJQgrWZJthw+CPP+DDD6tc7NRToVs3G8p79ep6KpuIZAqNzFdLp58Obdta0KbSNAnNmsF11ynZsIhURfVwLa2/Ppx3Hjz/PLzccHcYOhQuuqiKDPAiIomhYE22GTbMnisZwjskPx9uvBG+/NKSDouIxEAj89VS06ZwySXw5pvwxBNVLBhKNnzOOUo2LCLRqB6ug+OPt7yNp53uWHvN9ZYB/qKLkl0sEckyCtZkm7ZtYZttqg3WAIwYAbvtBuPHVzqAlIhIBRqZr24OPxy22ALOPBNWrapkIefgP/+BpUvhrLPqtXwikvpUD9dNfj5ceaUNonr/h1vAUUfBbbfBV18lu2gikkUUrMlGRUV223bJkioXc85a16xYoWsBEYmN9/577/1+3vvm3vtm3vu9g5H4wpeZ57133vvxEdO99/567/0m3vuG3vvO3vsLvPdZ0SkzN9cSvX/3nV0bVGrzzeHkk+Hee2H27Horn4ikB9XDdXPAAbDjjnDuuVB61sVQUGB9VUVE6omCNdmoqAjWrIGZM6tddNNN7Vrgvvt0LSAiUl+KiixNwsUXw8Kqxm0JJRv+v/9TsmERkThyzvIL//QTXP9AG4vaPPssvPJKsosmIllCwZps1L8/NGlio0LVwHnnQbt2cMIJVQ4iJSIiceKcta5ZtAguu6yKBZs1g+uvt6Txd95ZxYIiIhKrnXeGffe1LlG/HPhv6NoVTjlFwXERqRcK1mSjhg2hsLBGeWvArgWuuQbee89a24uISOJtvTWMHWtJ3r/7rooFi4st2fC55yrZsIhInF15JaxcCeOvaARXXw3/+59OiEWkXihYk62KiuDbb+1RA2PGWIOcs8+upkm+iIjEzSWXQF6e1b2VUrJhEZGE6d4djjsOJkyAz3rsZ81tzjuv2tyPIiJ1pWBNtioqsucatq5xzu7u/vmnjQ4lIiKJ1749nHYaPPoovPVWFQtuvrk1zb/33moWFBGRWJ1/vrU0P+NMZ11Pf/sNrrgi2cUSkQynYE222mQT6NKlxsEagG23hWOOgVtvhU8/TVzRRESkzOmnQ9u2FrTxvooFQ8mGjztO+RREROJo/fWtMc3zz8PLi7eHQw6BG26AefOSXTQRyWAK1mQr56x1zYwZsGpVjVe79FJYbz1LNlzlRYOIiMRF06bWHerNN+HJJ6tZUMmGRUQS4vjj7T7naafB2ksuh5wcOPPMZBdLRDKYgjXZrKjIchzE0GR+/fUtYFNSAo89lriiiYhImXHjoFcvuy6oMr5eXAxDhsC559JACcZEROImP996Pn38MTxQ0gHOOMP6qM6aleyiiUiGUrAmm+2yC+Tmwl132a2CmTNrtNrRR9soJaedBsuWJbaIIiJiSYavucZywt9+exULhpINL1tGt7vuqrfyiYhkgwMPhB12sMH3So87HTbaCE4+GdatS3bRRCQDKViTzdZbz5JSPvwwzJ8PI0bUKGCTm2vJhn/4wYYzFBGRxBs+HIYOhYsvrmZUvh494OSTaffii0o2LCISR87BddfBggVw/Z1NrKnNu+/CQw8lu2gikoEUrMlmM2fCV1+VJZ8pLa1xwGbAABvO+5pr4LvvElxOERHBOatzFy6Eyy6rZuHzz2dl69bwf/+nZMMiInG0886w7752w/KXXQ+GPn3g7LPtPFpEJI4UrMlWM2daYGb16vLTYwjYXH21Nc0/+eQElVFERMrZemsYO9ZaN1YZKG/alDnHHQcffQR33FFPpRMRyQ5XXgkrV8L4i3MssfuPP1qTGxGROFKwJluNG1f5HYDSUptfjfbtbaTYZ56BF1+Mc/lERCSqSy6x7qjnnFP1cr8PGmTJhs87D377rX4KJyKSBbp3t4aLEybA5+sPgP33twjOTz8lu2gikkEUrMlWEydCQUH0eQUFNr8GTjrJDlj//ndMI4CLiEgttW9vCd4feQRmz65iwbBkw5x1Vr2VT0QkG5x/PjRrZoNCcdVVsGaNZR4WEYkTBWuyVWEhTJ1aMWDTuLFNLyys0WYaNYIbb4Svv4abbop/MUVEpKIzzoC2bS1oE0o7FlWPHnDKKRaAf/PNeiufiEima93aGi4+9xy8Mreb3cG87z744INkF01EMoSCNdksWsBm4MAaB2pCdt/d0txcfLFaf4qI1IemTa071KxZ8OST1Sx83nnQoQMcd5ySDYuIxNHxx0OXLhY4X3vmORbBOfnkaqLoIiI1o2BNtgsFbDp3hgMOgOnTLSFljG64wbpBqaW9iEj9GDcOevWCM8+sphtq06aWAFPJhkVE4io/30bv/ugjeODZ9ezO5WuvwVNPJbtoIpIBFKwRC9jMmwd33gmtWsGpp8Z8R2CTTWy1++9XS3sRkfqQl2dDeX/7Ldx+ezUL778/7Lqr5VNQsmERkbg58EDYYQerXkvHHGlR9NNPt+GiRETqQMEaKdOiBVx4IcyYYR1wY3TOOZb48vjj1dJeRKQ+DB9uMZiLL4aFC6tY0Dkb77u01JriiIhIXDgH114LCxbADbfkWUvG776zOldEpA4UrJHy/vUv2HRTuyOwenVMqzZtagerDz+E555rl6ACiohISOgiYeFCuPzyahYOJRueNElNIEVE4mjAANhnHxu9+9eth1lCx0sugd9/T3bRRCSNKVgj5TVoAFdfDV9+CRMmxLz6gQfCoEFwzz3d+OuvBJRPRETK2XprGDsWbr4Z5s6tZuHwZMNr1tRH8UREssJVV8GKFdZInWuvhWXLgn9ERGpHwRqpaORIi7hceCEsXhzTqs7ZBcPSpXlccEGCyiciIuVccgnk5sLZZ1ezYNOmlhFeyYZFROKqe3f4v/+ze52f+83h2GPhzjspqDaKLiISnYI1UpFzcN118McfluI+RlttBSNH/sTtt8PHHyegfCIiUk779jZ07COPwOzZ1Sy8336W6Oa88+DXX+ulfCIi2eD886FZMzjjDGD8eGjenI0VGBeRWlKwRqLr3RsOOQRuvNFGiorRuHFzadkSTjgh5oGlRESkFk4/Hdq2taBNlfVueLLhs86qt/KJiGS61q1tVKjnnoNXPlofLriA9d95B158MdlFE5E0pGCNVO6yy+yk/txzY161efM1XH45vP46TJ6cgLKJiEg5zZrZqFCzZsFTT1WzcI8ecOqplmx41qz6KJ6ISFY44QTo3NkC5+uOPY7SDh2svlWeMBGJkYI1UrmOHe3g8tBD8M47Ma9+xBGw3XZ2t3fp0gSUT0REyjn8cOjZ00bnXr3aVb2wkg2LiMRdfr5lEfjoI3jg0YZ8e8wx8PnncNddyS6aiKQZBWukameeCW3aWNAmxv5MubnW0n7BghoMKSsiInWWl2eDkMyZA1OmbFT1wk2aWLLhjz9WsmERkTgaNQp22AHOOQcW9B4AhYVwwQWwaFGyiyYiaUTBGqlaqF39G2/UoF19Rf36Weqb666ziwcREUms4cMtf/D993dh4cJqFt5vPxg6VMmGRUTiyDkLnC9YAI8/0RGuvx7++gsuvTTZRRORNKJgjVTviCPK2tWvWhXz6lddBY0awUknxb9oIiJSnnNwzTXw99951bdqDE82fOaZMHMmdOlizyIiUmsDBsA++8BDD3Xi13bbwLhxcPPNunspIjWmYI1UL7xd/W23xbx6u3bW8vO55+whIiKJtc02UFT0CzffDHPnVrPwZptZV9f77oPddoP582HECAVsRETq6MorYdWqHMaPx1rVNGwYjOstIlK9jAvWOOc6Ouced84tds4tcc496ZzrVIvtnO2c8865NxJRzrQzfLg1lb/4YmvGGaMTT7TrgZNOgpUr4188EREp7/DD55KbazkTqjVggLWyCVXQpaUK2IiI1NGmm8LIkT8xYQJ8vrAdnH22pRUoKUl20UQkDWRUsMY5VwDMAHoAhwGHAN2Bmc65JjFspxtwLvBbIsqZlkKdbxctqlV/24YN4aabrHHODTfEv3giIlLeBhus4rTTYPJkePvtKhacOROKiysmkVfARkSkzg47bD5Nm1pPU045BTp1sue1a5NdNBFJcRkVrAGOAroBe3vvn/beTwFGAp2BY2LYzu3Ag8AX8S9iGttqKxsX9j//qVV/26Ii2Gsvi/UsWJCA8omISDmnnw5t21YzoN+4cRaYiaa01OaLiEitrLfeas49F6ZOhRlvNba+UR9+CP/9b7KLJiIpLtOCNSOB2d77fyIJ3vu5wCxgr5pswDk3BtgOODshJUx3l1xizWTOrt3bc/31sGaNuuuKiNSH0IB+s2ZVMaDfxIlQUBB9XkGBzRcRkVo74QTo3NkC5+sOGAV9+1of1aVLk100EUlhmRas6QV8GmX6Z0DP6lZ2zrUEbgDO8N7HnpglG7RrZ5GWxx+3s/8Ydetmqz/0ELz+egLKJyIi5Rx+eDUD+hUW2i3faAGbk0+2+SIiUmv5+XDFFfDRR/DAg85yAvzyiw2ZKiJSiUwL1rQCFkaZ/hfQsgbrXwN8DUyKY5kyz6mnwkYbVdOuvnJnnQUdO9pdBnXXFRFJrLw8G8p7zhy4445KFooM2DRubF1fr7wSnn223soqIpKpDjwQtt8ezj0XSrfqC6NHWz7IH35IdtFEJEXlJbsACRAteuCqW8k5NwA4FNjO+5pHIJxzRwNHA7Rt25aSGLO7L126NOZ1UsGGBx9Mj6uv5vMLL+S3XXapML+6/Tr88A246KJenHrq1+y9908JLGn8pOtnVR3tV3rJ1P2SxNptNxgyBC66CA49FFq0iLJQKGAzbpx1ferdG3bd1ZIPP/88RKnrRUSkZnJy4LrrYOBAuPFGOOfKK61/6tlnwwMPJLt4IpKCMi1YsxBrXROpJdFb3IS7E7gH+NE51yKYlgfkBv8v995XGHTae38XcBdAnz59/ODBg2MqcElJCbGukxIGDIBp0+j53//S85xzrH1nmOr2a9AgeO01+O9/N+X88zdl/fUTXN44SNvPqhrar/SSqfsliRUa0G+77eDyy+HqqytZsLAQ5s0r+/+FF2DwYBg5El5+2fIsiIhIrQwYAPvsY12ijjiiE21PPRUuuwxOPBF22CHZxRORFJNp3aA+w/LWROoJfF7NupsD/8KCOqFHf6Bv8Pex8StmBsjNtdsD8+fDzTfHvLpzttqSJXDeeQkon4iIlLPNNnDYYXDTTTB3bg1XWn99mD4dNtzQmuf873+JLKKISMa78kpYsQLGj8eSiW24oeUHq0VqARHJbJkWrHkG6Ouc6xaa4JzrggVdnqlm3cIoj4+xhMWFwOMJKG96GzIE9tjD7gj8/nvMq2+xBRx3HNx5p41gKCKZwznX0Tn3uHNusXNuiXPuSedcp1ps52znnHfOvZGIcmabSy6xWPs558SwUrt21qqmaVMYOhS+/jph5ROR+FE9nJo23RSOPRYmTIDPf2gGl14Kb74Jjz6a7KKJSIrJtGDNBGAeMMU5t5dzbiQwBfgB6+YEgHOus3NujXPugtA0731J5ANYBCwO/v+xPnckbVxzDSxbZokQauGii6B1a0s2rBsKIpnBOVcAzAB6AIcBhwDdgZnOuSYxbKcbcC7wWyLKmY06dLDc8JMnw9tvx7Bily7w0ktWUe+6K3z/faKKKCJxoHo4tV1wATRpYg1rGDvWmj6eeaY1uRERCWRUsMZ7vwzYBRvR6X7gQWAusIv3fmnYog7IJcP2Pyk23xyOPtqGGPnyy5hXb9HC+u3OmgUPPhj/4olIUhwFdAP29t4/7b2fAowEOgPHxLCd27F6/Iv4FzF7nXEGtG0Lp50WY5C8Rw/rErVkiQVsfv01YWUUkTpTPZzCWre2UaGmToUZr+bC9ddbaoEbbkh20UQkhWRcsMJ7/733fj/vfXPvfTPv/d7e+3kRy8zz3jvv/fhqtjXYe79zIsubEcaPt+FezzyzVquPGwd9+lh33c+ryywkIulgJDDbez8nNMF7PxeYBexVkw0458YA2wFnJ6SEWaxZM7j4YnjjDXj66RhX3mYbGxlqwQIYNgwWVpe7X0SSRPVwijvxROjc2QLn6wYVwl57WQb4J56w1owzZya7iCKSZBkXrJEkaNPGEiA88wzUYkjhnBwbsbBBAxt05NNP415CEalfvbB8X5E+wxK+V8k51xK4ATjDe/9XnMsmwOGHQ8+e1spm1aoYV+7Xz6I8X35pSYf//jsRRRSRulE9nOLy8611+YcfBq3Lr7kGli+HUaOslc2IEQrYiGQ5BWskPk46CTp1smQI69bFvPpmm1mcp0EDGzn244/jXkIRqT+tsFH0Iv0FtKzB+tdg3VknxbFMEiYvz64L5syxXqwxGzoUHnkE3nsP9t5beRZEUo/q4TRw4IGw/fZ2z3PFnB9tuNQ1a2xmaakCNiJZLi/ZBZAMEbo9cNBB1kymU8yDDbDppvDqqxas2WUXG3xk220TUFYRqQ/RsqG46lZyzg0ADgW2875mGVWcc0cDRwO0bduWklq08Fu6dGmt1ktl1e1T48aw3XZbc/75TenW7W2aNl0T2wu0aEHbM89k88sv548hQ/jsoovweYk/rcjEzwoyc78ycZ8grfar3urhYL061cVp9L7GpLr9Ouig9Xj6pEW4kbuXBWpCSktZu9tufHLFFSxKoZPibP2s0pX2K30pWCPxM2oU3HgjnHMOOXffXatNbLJJ+YDNSy9ZPhsRSSsLsbu6kVoS/U5vuDuBe4AfnXMtgml5QG7w/3Lv/crwFbz3dwF3AfTp08cPHjw45gKXlJRQm/VSWU326Z57YLvt4LXXdubqq2vxIoMHQ/v2tD7uOAbdey/cf7+NDZ5AmfhZQWbuVybuE6TNftVrPQx1r4vT5H2NWXX7NXgwjD67C42WR2+hmLtyJdvcdBPMm5eQ8tVGtn5W6Ur7lb7UDUriJycHrrsOFiyg42OP1Xoz3bpZwKZFCxtw5J134ldEEakXn2H5EiL1BKpLI7458C/sYiL06A/0Df4+Nn7FlG22gUMPhTpdB/zf/8GVV8LDD9vfMQ0xJSIJono4jay8YyLLKIg+s6AAJk6s3wKJSEpQsEbia8AA2GcfOj30EPzyS60306WLBWzWX99SI7z1VvyKKCIJ9wzQ1znXLTTBOdcFO9l/ppp1C6M8PsYSZRYCjyegvFnt0kutMcw559RhI2eeCWefDXfdZVmLFbARSTbVw2mk46GF3LvP1OgBm913t+Y3IpJ1FKyR+LvqKtzq1XDBBXXaTKdOFrBp08ZGiH3jjTiVT0QSbQIwD5jinNvLOTcSmAL8gDWvB8A519k5t8Y5909l4b0viXwAi4DFwf8/1ueOZIMOHSw3/MMP17El42WXwXHHwbXX2t8ikkyqh9PM6LsKObBgKityg4BNQQHssw88/jhcfHFyCyciSaFgjcRf9+78tPfelgyhjuNwd+hgAZuNNoLhw+G11+JTRBFJHO/9MmAXbCSR+4EHgbnALt77pWGLOiAXHYuS7owzLDB+6ql1aBTjHNx8MxxyCJx/vv0tIkmhejj9tG4NAy8sZLe1U1netjNMnWqBmrFjYfx4uP76ZBdRROqZEgxLQsw79FA6vPIKnHYavPhinba10UY2rPeQIbDbbnbsKiyMTzlFJDG8998D+1WzzDxqMDKJ935wfEollWnWzG7c/utfMGkSjBtXyw3l5MC998LSpfDvf9uGa70xEakL1cPp58QT4dZbC9mh+Tze7APNcoC774Zlyyya3qwZHHVUsospIvVEUXRJiDXNm9ud1WnT7FFH7drBzJnQtSvssYcN6y0iIvFzxBGWFuGoo+Cpp+qwobw861M1dCgceaTdGRYRkWrl58Mdd8AXX8CIEVBaiiUVe+ABy11zzDFWv4pIVlCwRhLnuONsaKfTT4e1a+u8ubZtLWCzySaw555xiQGJiEggLw+eeQb69IEDD6xjo8hGjSzis9NOMGZMnVtYiohki912g/vvh9dft5Q1K1cCDRta4HvgQOtq+kx1OaJFJBMoWCOJ06gRXHUVfPJJ3IYc3GADmDEDevSAvfaC55+Py2ZFRARrYf/CC9Crl10klJTUYWNNmli/1V69YN997cpDRESqNXq09X6aPt2C56tXA40bw7PPQu/eUFysZuYiWUDBGkms/faD/v2tS9TSpdUvXwOtW8Mrr5RdTDz7bFw2KyIiQMuWdoHQrZs1w589uw4ba9HCNta5s/Vhfe+9eBVTRCSjHX44/Oc/MGUKHHpo0Eg9FFHfbDO7a/nmm8kupogkkII1kljOwXXXwS+/wNVXx22zrVrZDYWtt7Z40NNPx23TIiJZb4MNrI7dcEMbie+DD+q4sZdesop7+HD4/PO4lVNEJJMdd5w1Up882fKJrVuH1aUvvQTt21semw8/THYxRSRBFKyRxNtxRxg1Cq69Fn78MW6bbdnSjlWh1qBPPBG3TYuIZL127awVY/PmMGwYfPZZHTbWoYNtrGFD2HVX+O67uJVTRCSTnXEGXHCBZRQ48UTwHkvk+PLLsN56VkF/8UWyiykiCaBgjdSPyy+39pvnnRfXza63niUa3mEH69P76KNx3byISFbr3NnyhDVoYDGWb76pw8Y23tgi7CtXwpAhsGBB3MopIpLJxo+3kbtvvRXOOisI2HTqZAGb3FyroOfOTXYxRSTOFKyR+tG1K/z73/Df/8a9uWbz5jbQSL9+lpDtoYfiunkRkay2ySbWKGbNGouxzJ9fh4316mUV9p9/2tDev/8et3KKiGQq5+Caa+DYYy2rwCWXBDO6d7eAzYoVCoKLZCAFa6T+nHOO9bM99dTglkD8hPKthUY0vP/+uG5eRCSr9expeYL//tuuB376qQ4b2357GyVq7lwoKoLFi+NWThGRTOWcJRweOxYuvNBSQgKwxRYWBP/jD2thoyC4SMZQsEbqT4sW1o5z5kx47rm4b75JE9tsYSEcdhhMmhT3lxARyVrbbmtB8V9/jcP1wMCBlmjsk09syKnS0riVU0QkU+Xk2JDeBxwAp50Gt90WzAgFwefNsyD4okVJLKWIxIuCNVK/jjnGhhs8/XRYvTrumy8osKG8hw61IQ/vvjvuLyEikrX69i1rFDN0KCxcWIeN7b679Vt9803YZx/LZSMiIlXKzYUHHoA997TRov65OTlwIDz1FHz6KeyxByxblsxiikgcKFgj9atBA+ts++WXMGFCQl6icWOYMsVuLBx1FNxxR0JeRkQkKw0aZNcDn38Ou+1mXaNqrbjYjgXTp8OYMZYYZ+ZM6NLFnkVEpIIGDWxQjaFD4Ygj4JFHghnDh8PDD8Ps2bDXXpbLRkTSloI1Uv/23BMGD7YOtwnKVZCfD08/bTcWjj3W+viKiEh8DB9uFwrvvReHXkyHHw433ABPPmmV9ogRlsV4xAgFbEREKpGfb4Hzfv3g4IOtZTkA++0H995rmeEPPDAhLdlFpH4oWCP1zznLivbnn3DFFQl7mUaNLCXCXnvBCSfAjTcm7KVERLLO3ntbMvfXX49DL6aTTrKsmdOnl0V+SksVsBERqUIoX+O228L++8NLLwUzDjvMxvl+5hmrW9euTWYxRaSWFKyR5NhuOxu26cYbLRlagjRqZHd/990XTj45LHO+iIjU2ejRlhts+vQ63sCdOdMq60gK2IiIVKl5cxsMqkcPu0H52mvBjP/7P7jySssNduyxcR+JVUQST8EaSZ7LLrO09ueck9CXadgQJk+21AinnQZXXZXQlxMRySqHHw633GK5wg45pJY3cMeNq7wvVWmpzRcRkahatbJWNZ07W2/Sd94JZpx5pp1nT5hgJ8EK2IikFQVrJHk6dIBTT7VEaLfdltCEkg0a2I2FUaPgrLMsTiQiIvFx/PF2A/eRRyyx+7p1MW5g4kQbzi+avDy48846l1FEJJO1aQMvv2zPRUXw8cfBjEsvtXwA118PF1+c1DKKSGwUrJHkOuMMaNnSDiIJTiiZl2f5FQ4+GM47Dy66KCEvIyKSlc48E84/3+IuJ54Y4w3cwkIbEzwyYJObayNE/fvfYW37RUQkmvbtLa9w06Y2UtQXX2C5Im+80XLXjB9vQRsRSQsK1khyvfceLFtWdhs2wfkJ8vJg0iTLuzZ+PFxwgVqEiojEy0UXWYPJW2+1Vox1CtgUFFi7/mnTYNUqGzP8mGPIW7o0IWUXEckEXbpYwCYnB3bdFb79Fvvn7rstJ8Cpp1q3KBFJeQrWSPLMnGmBmVWryk9PcMAmN9dGNDziCLjkEjj3XAVsRETiwTm45hrLZXn11VbHxiQUsOnc2Z4LC2HYMPjkE8u3cPfdbD92rA31p4pbRCSqTTe1LlErV8KQIfDDD9gJ8AMPwO67wzHHWBoCEUlpCtZI8iQxoWRODtx1Fxx9tI0efuaZOu8XEYkH5+A//7EWjBdeCNdeG+MGCgttlMDCwrJpTZpYFOidd1jVqpWNUbvPPrBgQTyLLiKSMbbYwhomLlxoAZtffsFG3Xj8cRg40DLCP/NMsospIlVQsEaSp6qEkg0b2vwEysmB22+3kQ2vucZahSpgIyJSd+Et7k8/3XLIx0Xv3nxw++3WbGf6dNh8c6vIY85oLCKS+Xr3hhdegJ9+si5Rf/wBNG4Mzz5rM4uLrQmOiKQkBWskeSpLKJmTY12jZsxI+Al4To7dAT7xRLjhBsthqYCNiEjd5eVZi/sRI+C44yxfWDz43FyLAH36Key4o0XcBw6Ezz+PzwuIiGSQfv2sAc2cOTZK1KJFQLNmFsXZbDPYay94881kF1NEolCwRpIrWkLJF1+0hDKXXgpjxsCKFQktQihJ/sknwy23WHqE999P6EuKiGSFhg3hscfsju4RR9jQ3nHTrZu1rrnvPhvyZJttLHP8ypVxfBERkfS3yy7w5JOW/mv33WHpUqBVK0vi3r69Tfzww2QXU0QiKFgjyReZUHLoUMtSf9VVdma/yy7w228JLYJzcN11cPPN8MEH0KcPHHAAfPVVQl9WRCTj5efD00/b3d2DD7bW93HjHBx6KHz5pVXaF10E224Lb7wRxxcREUl/u+8OkyfDO+/AyJGwfDnQtq11g1pvPbtb+cUXyS6miIRRsEZSQ2RCSefgjDMsCdqHH0Lfvglv4u4cnHACfPcdnH8+PP889OoFRx0FP/6Y0JcWEcloTZrAc89ZHGX//e1mblxtsIH1uXrhBUtQP2CADUm1eHGcX0hEJH3tu681Riwpgf32CxoidupkAZvcXGsGOXeuLTxzpo0DnqDRWUWkehkXrHHOdXTOPe6cW+ycW+Kce9I516kG6/Vxzt3lnPvSOVfqnPveOfegc65rfZRbKrHffvDqq3by3a9fvSRBW289uPhiC9ocd5wd1DbZBG6/fWP+/DPhLy8ikpGaN7derj16WIqE115LwIsMH265bE4+2Yb869kTnnoqAS8kIpKeDjoI7rzTYttjxsCaNUD37naOvWKFDR316KOWcGz+fHtWwEYkKTIqWOOcKwBmAD2Aw4BDgO7ATOdck2pWHwX0Am4GdgPOArYD3nPOdUxYoaV6O+wAb78NHTvaifiECfXysm3awE03wddfw6hR8NhjHejWDS65JOjrKyIiMQmlSOjUCfbYw5rjx13TpnD99TB7trW42Xdfe/z0UwJeTEQk/Rx1lOVrfPJJGDsW1q7Fxvp+8UUb43vUKLtRCvasgI1IUmRUsAY4CugG7O29f9p7PwUYCXQGjqlm3au89/2997d571/13j8EDAdaBtuVZOrcGWbNsnw2Rx9tXaTqaajWLl1sFJN77nmXXXaBCy6AjTe2ZMTKYykiEps2beCVVyyOUlQEH3+coBfafnt491248kq7hbz55nDHHRrmW0QEGwH1ssvgwQet16j32N3IdesqDo2qgI1IUmRasGYkMNt7Pyc0wXs/F5gF7FXVit7736NMmw/8DrSPczmlNpo3t8yUxx4L11xjiQ9CUf960LVrKU89BW+9ZS3rTzzRRjz873+DOxIiIlIj7dtbwKZpU4vBJyynZYMGcOaZNgRKnz52/Bg0yBISi4hkuXPOgXPPtUbrJ58Mfty4yu9ElpbCuHH1W0CRLJdpwZpewKdRpn8G9Ix1Y865zYE2gFKjp4q8PLj1VrjhBhteZNAg+Pnnei1C374wYwZMmwbrrw+HHQZbbw1TplS8ESEiItF17WoBm5wcy2n57bcJfLFNNrF8DBMnwmefWaV98cWwalUCX1REJPVdcgmcdJJ1/b+n/0QoKIi+YH6+1aEiUm8yLVjTClgYZfpfWHemGnPO5QF3YC1r7ql70SRunLOjypQpdjt2xx3hf/+r9yIMG2Yt7B99FFavhr33thzIJSX1WhQRkbS16ablc1p+/30CX8w5S87w5ZeWvP7CC214qjffTOCLioikNucszdfRR8NRDxXywKip0QM2K1ZYn6nffqv/QopkqbxkFyABorVtcLXYzn+AfsAe3vtoASDbsHNHA0cDtG3blpIYr9SXLl0a8zrpoF72q1kzmt5wA1uecw65ffvy+QUX8Fffvgl7ucr2aYMN4LbbHC++uCGTJnWhsLAR22//F0ce+R2bbpr6mYj1HUwvmbpfkr222AKmT4dddrEWNq+9BhtumMAXbNMGHnoIDj7YukXtvDP83//B5Zdbd1sRkSzjHNx+u/V0OuTeQvL/byr7TxphEwoK4JFHbHTWG2+Exx+n/SGHWN2Zl4mXkiKpI9N+YQux1jWRWhK9xU1UzrkrsADMYd776VUt672/C7gLoE+fPn7w4ME1LixASUkJsa6TDuptvwYPht13hz33ZKtzz4Wbb7bxthOgun0aMsRa1d96K1xxRSuOOaYVBxxgzUs33TQhRYoLfQfTS6bul2S33r3h+eetxeKuu1oLxdatE/yiu+9uXaLOO8+OHU8/DbfdBiNH2vyZMy0/w8SJUFiY4MKIiCRXTo5Vd8uXQ/FthTxzylT2fCKsDhwxAo44Av79b7r/5z9WR95yi+pHkQTKtG5Qn2F5ayL1BD6vyQacc+diw3b/23t/fxzLJonSvr3dit1jDzj+eEtvn6SMv40bw2mnwXff2fn/c89ZMuKjj4Yff0xKkURE0kL//pZDfs4ca2Uze3Y9vGjTpnanePZsG1d8r72guBgef9wuTObP1wgoIpI18vKs4eHuu8NeNxQyfuw8SncMC8b06AEvvsgnl1xirW522QUOOCDBfVhFslemBWueAfo657qFJjjnugD9g3lVcs6dCFwKnOu9vyVRhZQEaNoUnnrKUtnffLOdcP/9d9KKs9561qLm22+tdf2kSdC9u404/uefSSuWiEhK22UXS0f2+++w004wejTMm1cPL7zDDvD++9YVasoUC9iERhvUkLUikkUaNoQnnoADD4SLLrLW4f/9r43oDYBz/LnzztYy8eKLYepUC+JcconltRGRuMm0YM0EYB4wxTm3l3NuJDAF+AG4M7SQc66zc26Nc+6CsGmjgBuBF4EZzrm+YY+YR5KSJMjNtQxpt90GL74IAwYkvTlL27YWO/rqK7vxcO210K0bXHopLE39dDYiIvWuqAi++QbOP9/iJj16wNlnw5IlCX7hBg1suL/c3IrzFLARkSySnw8PP2wN19u1s5FPt9/e0tb8o3Fjq6i//NLqxwsusObkTz+t4VFF4iSjgjXe+2XALsDXwP3Ag8BcYBfvffilsQNyKb//w4Ppw4G3Ih63JbzwEj/HHmtR/u++K7tbmmRdu8J999mgVYWFdmzbeGP4z380cqzU3MKFsGJFRlXbIlE1bWo3bEOB7iuvtNG377wT1q6tzZgBNTRuXOV3hktLbdi/jz7ShYiIZIUBA+Dtt+GBB2wQqMGDYd994ccfG5ct1KmTDY36yiuWjHiffWD4cAviiEidZNxZv/f+e+/9ft775t77Zt77vb338yKWmee9d9778WHTxgbToj0G1/NuSF0NHw6zZtmd0oED7fZsCthiC7vh8OabsPnmcMIJsNlmcP/9SUuzIynKe/j6a+tCd9RR0KuXpdR4++31k120GnHOdXTOPe6cW+ycW+Kce9I516kG6/Vxzt3lnPvSOVfqnPveOfegc65rfZRbUkvHjtb8/t13rYXNv/4FRxzRhxdfTNALTpwYfchasOybS5facN+bbQbnngsff6zAjaQs1cMSDzk5cNBBFjy/9FIbvW/cuO05+WT466+wBXfZxYLZN91kEZ4tt7REjglvFimSuTIuWCPyjy23tINFr14W5b/++pQ5qd5pJ2tN/+KL0LIlHHoobLMNPPNMyhRR6tny5fD669aCYORIGxJ+s83sRv/jj0PnztYdvGvX1O8/55wrAGYAPYDDgEOA7sBM51yTalYfhSWKvxnYDUv4vh3wnnOuY8IKLSmtTx9rfv/EE7B6dQ677WYx+U8/jfMLFRZay8zIgE1BAbz8Mvz6K0yYAF26wFVXWcXdo4c1l/zf/1SBS8pQPSzxVlBgMeo5c6Co6BduvtlaPN50U1gr8bw8OPFEu9s0dqyde2+2WUTSGxGpKQVrJLNtuKGNAbvvvnDqqdZFavXqZJcKAOcsN8N778Ejj8DKlZYXuX9/eOkldY/KdAsWwGOPWU7sHXeE5s2tEdjZZ9vdq5Ej7Zrws88sKfXzz8N5/WdywBl7pUPejKOAbsDe3vunvfdTgJFAZ+CYata9ynvf33t/m/f+Ve/9Q1j31JbBdiVLOWdV+aRJ73D99RaL33prOOYYi6HETWTApqDA/i8stPHEjzzSbi3//LP1y+rY0RITb721NZm84AKLIilwk5lmzqTvqFGqhyVrbbghnHba13z4IfTuDSedZPdFy6WqadPGTmLeftvuNh12GOy8c0qkJhBJJwrWSOYrKLC+tGedZSfWI0bA4sXJLtU/cnIsJ8Nnn8Fdd9lIscOG2YhSgwbBOefYEOALFya7pFJba9bABx9YjqIxY+y8pUMH+9zvuMMS+Z12mrWs+v13C9bce69dE/bsad8RZs6EESPI//XXdEh0OhKY7b2fE5rgvZ8LzAL2qmpF7/3vUabNB34H2se5nJKGGjTwnHyy3d094QT7rWyyCVxxhbVQi4tQwKZz57JATaQNNoCjj7YWNz//bD/m9u3hssusZWfPnnDhhVa5S2ZQPax6WP6x1VYWt37uOcs6sM8+VlV+8EHYQttvb33/J02yXJLbb2/15u8VvmIiEoWCNZIdcnLsTP7uu2HGDGu+Ui/jwdZcgwaWm2TOHOv28q9/2YXHNdfYOWGrVpbz5phjrDXpt9/qxm2qWrgQXnjBekbssgu0aGF3n044wbpy7Lgj3HCD3XBavNimXXEF7Lmn3bivILhASKOhhHsB0TqofAbEPLqec25zoA3wRR3LJRlk/fXhxhstFjJkiAW2e/SwEUziUjcWFtpxIlqgJlKbNlY5v/KKBW5uv92GULn0Uqu4e/WC8ePh88/jUDBJCtXDqoelAudg992tF+htt1l93KeP9YBasCBYKCfHWtZ89ZU1J5440cYDv+UWu5slIpVSsEayyxFHwLRpdgTZcUe7Wk4xjRvDfvvZxfw778CiRXYueMkl1tr+kUfsmLfJJrDRRrD//rbsu++mTA+vrOK9nX9MnFg+EfDuu1sAZvFiyzvz8MPWaurHH62h10kn2WBlDRtW8wIvv2wbC10ghKT2hUIrIFpbsL+wZvQ15pzLA+7A7ujeU/eiSabZdFNrfj9jhv32xoyxEbhnzUpSgdq0sWj7jBnw0092BdOmjQ1v1auXBW8uvhi+0DVvylu1yhKmnnWWNXlVPax6WKLKy7NMA3PmwOmn2zlP9+7WuHBpKNXeeuvBdddZZKdPH8tts+22lq5ARKJyXrfm46ZPnz7+vffei2mdkpISBg8enJgCJVHK79eXX8Iee9iJ9H//C8XFNn3mTLuynjixwt3UVNmndevszsWsWfDGG/YcaiRUUGABgP79rWvwTjvZsbEqqbJf8Zao/SottTxDb75Z9vjzT5vXogX061f22H57G4I4Zj//bEHFF1+0yE5V9XTnztW2EnPOve+971OLktSKc24VcJ33/uyI6ZcBZ3rv82LY1h3AEcAe3vvplSxzNHA0QNu2bXtPnjw55jIvXbqUprX6sFJXJu4TVL1fa9fCSy9tyD33dOWPPxoxaNBvHH30d2y0USXDcdejhn/9RetXX6VNSQnrffIJznuWdu3K74MH89vgwfzeqlWF/Wrx4Yf0uOoqvjzzTBZtu22SSl576fQdzFu8mKbffkvTOXP+eS74/ntyanDnf0XbtsyuQb1TWFhYb3VxfdfDwXJ1qovT6fsSi0zcr+r26eef87nrrm6UlLRh/fVXcsQRcxk27Bdyc4MFvKf1G2+w8W230fiXX/ht8GC+PfZYVrZpUz87UIlM/KxA+xWuPuvhuPDe6xGnR+/evX2sZs6cGfM66SAt9uu337zv18978P7yy71/5RXvCwrs/4IC72fMKLd4Ku/Tjz96/8gj3p94ove9e3ufm2u74Zz3W27p/b/+5f0DD3g/d67369aVXzeV96su6rpfy5d7//XX9rW4917vTzrJ+x128D4vz95b8H6zzbwfN877CRO8/+wz79eureWLrVrl/auven/WWd5vs03ZC7Rr5/3w4d43bFg2LfwR5XsaDfCer8e6EPgVuDPK9NuA32PYzhXAOuCQmq5Tm3rY+8z8HWTiPnlfs/1autT78ePtJ9Kwofenn+79woUJL1rN/fST97fc4v2AAVZRg/+7WzfvL7nE+6++smVmzKjymJQOUvI7uHatvcePPur9Oed4v8ce3nfoUL5u3Wgj73ff3fuzz/Z+8mTvJ00q+yxqWQ97X791cTLrYa9z4nIycb9quk+zZnm/4472U9lmGzunKqe01PuLLvI+P99+S5deaidgITNmeN+5c73Vf5n4WXmfofs1Y4Zf3rZtzN+N+j4nruujxlF1kYyzwQaWX+Dwwy3ZQW6u3ZaFsqbNlSWWTDHt21uy2gMOsP+XLrUeXrNm2ePBBy33JVjXqZ13ttY3/fvD2rUueQVPknXrLLfd999X/vjtt/Lr5Odbq6XTTrNWMzvtVEl+mZr64QdrOfPCC9bV6e+/rR1x//42fvfw4Za9z7mKuRKg/Ag1qeczLF9CpJ5AjZJ2OOfOxYaLPdF7f38cyyZZoEkTa35/5JFw3nlw7bXWYHL8eMtt2aBBkgvYrh0cf7w9FiyAJ55gzd13W6Kr88+HjTe2iijUtzXNjkkJU0Xr16iWLYNPPrGuTB9/bM+ffGLTwerczTeHwYNtGPatt7bHBhtU3FanTqqHRWLUrx+89ZZ14T/rLMsvNnIkXH21jehN48Y2gt5hh9moreedZ1njb7jBmibvuafqP6kolOw9C74bCtZIdsvPt7P5xx+vmPAljSuApk3tgDhkiP2/dq2dn4aCN7NmWe8agPz8nf8J3PTvb7kemjdPXtnjYdky+P77AqZPLwu+/PBD+b9Xriy/TpMmdi7eqZN1oQ79HXp07FjHC7yVK+H118sCNKFEox07wujRFpwZMiT6mx8amSZ0oZDaFwgAzwDXOue6ee+/A3DOdQH6Yyf+VXLOnQhcCpzrvb8lkQWVzNa+vV3Xn3ginHKKxUb+8x8L3uy+u8VCk659ezjxRD7aaisGb7KJBWtvv92iyuFKS6GoCM480+qLjh0t+p6XJady4UHryGOz99atOTwo8/HH8M03Zd1IW7SwQMyRR9rzNtvYiF2NGtXs9VUPi9SKczBqFOy9N9x0kw2Yt8UWluPmwgstWTydO9u5+CuvWIW9116WmDhUD6bxObnEWWXJ3jP0u5ElR3iRKhx+eOWZeUtL7S5eio0cFavcXDsv3WYbOO44m/bDD6Ggzc/Mm9eBSy+1Y2JOjjXo6N8funa189hGjSyuVd3fkf83aBD/i6F16+CXX6puFWM5ZHb4Z52cHLum6dTJctrtu2/FQEzLlgm4cPvuOwvMvPiiJRstLbWMwgMHWrLr4cPtrm5NXji4UFgxejT5Dz+c6gekCcDxwBTn3HmABy4BfgDuDC3knOsMfAtc7L2/OJg2CrgReBGY4ZzrG7bdJd57DacjMdt2W/sJPvustY4bMcJio9ddZ9ftKaNDBzvhjAzUhKxebSNMXXqp/Z+TY610OnYse4QqtdCjTRtbri5ibdESb9FOzocPt1v0CxdacCaUPAygWzc74B10UFmLmU6d6l7Jqx4G1cNSS/n5FmseN86CNLfeCvffb41pjj8+iJsOGWLD/O2xR0bdRJU4mTnTvhvLl5efnsHfDQVrRCZOrNi0OVynTvDUU7gmTeq3XAnWsaPd6dhwwzkMHtyBv/+G2bPLWt5MmlTWUry2nKtZUKeqeTk51ksg1CLmxx8rHr+bNy8LvOy4oz0vXfo5w4f3pFMnC9TUqVVMTS9USkttHO5Q65lvvrHp3brZ+sOH2/q1/S4VFjJ78uSUTwjtvV/mnNsFuAG4H3DAK8BJ3vulYYs6IJfyIxMOD6YPDx7hXgUGJ6jYkuGcs2v74cOtW+hFF1kQ5/DDbbS9du2SXcJAVcekxo3tCqddO6sQQ00Gf/jBAhbPPgsrIpIpN2hgQaDwAE7ko1WrygMZVbVoqQ3v7eDy99+wZEnZI/L/0LSvv7YyhLoph6xaZXfiN9sM9tmnLCiz1VaJbR5aWMgbDzzCroWDEvcacaB6WFJVmzbWePD44y14ftppNmje1VfbzTR31FFV30Tdf38bArVbt/otuNQ/7+0Y8NZbNqLHpEkZf4M9koI1IpFNm0Py82G33Sxyse++9Gva1LqrHHQQDBhQ9zuVKaZZMxg61B5g58WlpXbev3KlPSr7u7bzQn8vWVL5vLVry1rF9OsXvXtStBGvSkp+Y8CAnnV/Y6prev/112WtZ1591Qqen2/LnHCCXRl27173cqQZ7/33wH7VLDMPuyAInzYWGJuocok0bGit7A85xBqo3HILTJ5s+RROOcV6tyRVZcekmnS78d5amIQCOeGP77+3IQQXLIDIEY4KCqIHcf76y26BhwJApaXWf+yWWyxIUlWQZckStpo3z7pphS/z99+VtxwK17ChBV0WLaoYqAm3YgVMmFD99urg55+tF+trr9lj9ept02LkddXDksp69bLTp2nTLF3N/vtbTsUJZ06kx2mVBKyds3pp443tUVQEw4ZZvZjuffjFAvnvvlsWnHnrrX9aTfoWLVjafVsKvvyQ3HVRAjYFBXazI8MoWCMCVfdFX7MGXn6ZP6+/ng0feshOCkN5Rg4+GLbcMtmlT4jcXAvgNGuW7JIkUbSm93vsYQmpFyywAE0ogt+jB/zrXxbgGzDA7oCLSMpq2dK6QR17rDXNP/98uPNOuPxyi8knNR5f2/wozlnm89atrdlQNGvXwq+/Rg/ohBKf//JLWa6XSCtWwFFHVf76oQNH8+Z2ktmhg+XlCaZVeESb3qxZWS6ZaAnWQxJwcu49zJ1rQZlQgGbOHJvXpIl1Ee7c+Q+8b54aOY9E0lxRkfV+uvdeq4c3/79CLtt1KmfNGkHO8oiA9bPPWp0yfbo97rvPmuXk5trID6HgTe/elI0TLinJe7uJEArKvPmmtRANgvPrNuvBLzvsxXsN+vHUr/147H+bsezzHAYzk+fdCBr7tEn2XicK1oiEhE6OI7u75OXB8OF8mZ/PhttvD888Y8MrXXedtdnccks7sx892pp6SGao7AJh+XI7m8jPtxOCM8+0k4OuXZNTThGpk002gSeesAvzU06BQw+1JJjXX2/ppZKmsmNSXeXmWnPFjTayfqPRrFplXQwWLKh8O23a2PEwPMjSpEm5KNcHJSV177ZZl5ZGNbBuHXzxRVmrmddfL9vtVq0s9n7ssfa87bZ2SlBS8j3OqQuGSLzk5dlIfaNGwVVXwcXXFfLquqk8mzeChmuiBKw33dT6Ua1aZRf6oeDNBRfYOVrLlrDrrmXBm44dk7uDYs3lP/ywfHDmp59sXpMmrN5uB+btfxZvrO3H5Hl9mflxK1Z/ZfcAttkGjjjKjsk771xI48/TKtl7nShYIxKusLDqvo5NmlhQZvRoG/v50UctcHPWWfYYONACN8XFdqCQ9LJiBfzvf/D++3DGGZXnMQK7UJkypf7KJiIJNWAAvP02PPQQnH02DBpkJ4iDBtlj4MBg1JL6VN0xKVEaNrTMn1W1aJk8ufJgT7zFcSSmNWvs5m14cOavv2zeRhvZ5zxwoH0fevbMuB7PIimteXMbLeroo+Gccwopemgq97lxTNh2Iut/XMigFpaW6p9GMw0bllXSl10Gf/wBL79cFrx57DFbrkcPC9oUFdmyGZaHsl7VNI/jL7+U78703ntlQ7F27cryvoP5smU/XlrWj0e/2JIP3sjDe0uztv32dvNk4EBLgdCiRcS226ZVsvc6UbBGpLY22MCGVjruOPj2WzvDf/BBOOYYy1Wy++4WuBkxwlphSGpZvtyGdn3/fXt88AF89llZLodmzcoPGxmuoMCSnIlIRsnJsd6t++5rCTCfe866Rt10k83fYovywZu2bZNb3oRKcIuWWpcnxpZGK1bAO++UdWl6801YGqTX3WQTGyE4FKDp2jVFhnMXyXKdO9sp9dsnFnLhHfN49VWYe7LNW289C6aG6uJQizfAuoCOGmUP763Z3LRpFriZMAFuvtmiATvvXBa82Xrr6qOyyR4RL1VUlsdxzRr49FOrYEPBme++s3UaNoQ+fVh86PF8mN+PqX/uxNT32/HVkza7oMB6sI0fb5/rjjvWMHdcmgy6UVcK1ojEw8YbW7PL886zi/4HH4SHH4ann7bbBPvtZ1cAgwapD20ylJaWD8y8/z58/nlZ0srWra1/8x572HPv3talraQkdS5URKTeFBRYwstTT7Ubge++a/nDX3vN4rS33mrLbbZZ2QXDoEGWmiWjxLFFS9zKU01Lo7//tmuFUKuZt9+2nhJgvZYPO8wuCAYMsJY0IpK6dtyxrAHfDz9YPRyqi6dOtelNm1ouqVA93KePxQdwzprH9ewJJ59skdtZs8qCN2efbY8NNrDRNYYNo2HTphULEe8R8dJVtDyOw4ZZxfrNN2VR8A03xPfvz2/7/R9vuX48/f12zJjViB/etNktWlis7IgjLEi+3XZ1HLE1wylYIxJPzpVd7F9zjVVsDz5ow4tOnGhnhqERpbbZJvotPEXvy9TmvVi2DD76iPZPPGHrvf++3VkJtZBp08Y+n732siNE797WlznaZ5FqFyoiUu8aNbITy513hnPPtVFDP/ig7KJh8mS46y5bduONy1rdDBoEXboktejxkajcOXHyxx82yFWoW9OHH1p1n5tr1fuJJ9rn0b+/5aARkfTUsaPd9zz4YPv/55/tNx+qi885x6Y3bmxdZ0L18I47Bg3c8/Mtk/GQIZZz8pdfrMtUKHjz0EP0Aws+DBtmj3Xr7IZreIAiWQGb+ro+WLLEcsksWGCPn36yqPezz1YcmS/oV7pu5F7M376YmSv78dynnXn9NcfvT9giG25owfEzzrDPZIst1L00FgrWiCRKbq4lN9t1V8tU/+yzFri5+WZLTrz55nbEGTOm7Ixe0fsyNXkvli615APhLWa+/BLWraM7WB+F3r2tT0MoiNa+fWzt3FP8QkVE6leDBmV3e884w85dQzlQXn0VnnrKRjUBa6AX3vJm443TtJtNsnLnRPHjj+VHavr8c5uen2+fybnn2gVB3752x11EMlO7dnDggfYASyX5+utlwZvx460nVKNGVjeE6uGddgq62Wy4YVn0Z906+OQTvr39djaeMwduucXO1aMJjQz6yCOW8qA+WszH4/pg1SqLcIUCMJU9h1rIhHOu8hECvefHZz6k25SnAOtOuvvuFqAZONC6m6blcS9FKFgjUh8aN4YDDrDHn39awrMHH7SzynPPtVt+ffrY7dnly22dbA7YVDZk9uWX28EiFJj56quyg0e7dhaMKS6G3r15c+VK+u2/f3zKk0IXKiKSWkItOHr3tpb269ZZ1/3QBcOLL1quXihLYBu6aOjRQyexkdauteuF+fOt2g095s+Hr7+2kV7B0ortvLNdZw0caIfQ0GjfIpJ9NtjA7s3tu6/9/9df1uouVBdfdhlccokF3Pv0KauH+/eHZs1yYOut+WHUKDYePNjOO7t2hd9+i/5iy5fDyJH2d9Om5UfFW2+98v/XZFqzZpUHfaKdE4dfH6xbZ00MKwvALFhAv/nzYdGiittu2LBsdMCtt7Yoy0YbQfv2lLbYiB/Wtee7FRux4rV32OP2YGSuyLfCFfDEiIk8OMoCNBp4K74UrBGpb+uvD//6lz3mzbPcNnfdZf1oI4WCFE89ZUnQ6lN9dsdatcpuifz2G7z0kuX/CSUZCFm+3K6EwFrH9O5tXcp697buTO3ald9kSUliyywiEkVOjo1WstVWlmvee2vwF7pgCHWdAuuVGQreFBQ0YeDAzG8evmaNXT+EAjDhwZh58ywYE8rzHtK2rTVA7dfPRggZMMCuK5QCTkQq06qVxVNCMZUlS+xUO1QPX3stXHml1SPbbWf1cKtW67PNNtCiRTDiXWUj4jVsaElX2ra1DS9ZAosXl/39009l///9d+WtUsI1aVIxqLNypSXhiux+VFpqLfdbt4aFC61/bqQ2bex8uWNH/ujYkY223/6fQAwbbcSSZu2Zu2R95s135YPjr1p9HBolzxQyrMFUnnYjaOzL3g/fuIDGz03l5Gy7qVyPFKwRSaYuXSy52Z13Vr7M8uUwfLhF7jfYwCrm1q2r/7tly9qf9de1uaX3doD67Td7/Ppr1X8vXFjzbXfoYFnmRETSgHPW63XzzS1G7z3MmVM+ePP44wDbc/rp5Uc5SceAxOrV1lVp3jyYNm1DSkrKB2R++KHidUe7dnY43HFH69LQubP936WLdSVr3Lied0JEMk7z5rDbbvYAS3H45ptl9fDNN8OqVVty7rlW9w4aVMh+Z05l5ytH4JbXYaCJdevsxSIDOtGCPJHT3nuvYoUZud1TTvknABN69hu2Y9GyBv/UvS+/PIcGf23CvA/K6uLIhjYFBWV1b9++9hxeF7dpU4grKZ/H0WVj6/96pmCNSCqYOLHq6P3BB9tR5o8/ylqgfP65/R1tHbBAzfrrVxvcaTp/vjX1bN3aovqVNbecMgV69ao66BI+beXK6OVq1cruRLRpY7eeQ3+Hnn/4wRJBrFhRcd2CAvjvf2v3HouIpADnoHt3exx5pE2bNw/uuOMLfvttc1591apbsJus229v1X9+vj0aNSr7u67/N2oUezBo1SqrpiNbxIQeCxaU5XOHHjhn1w+dO1t3g8gLgI4dg+SfIiL1qEkTGwRq6FD7f/lyuPPOj1i8eBtefdXuo960opDBTOX5oEXJytwCrt95KvMmF9LoqZrWtTnk5zejUaNm5Oe3J399yG9ffvkGDSrpEht5Th7GNy7g6+ue5dPWhVYXv1q+Lv777/ClN6FJEzvd79zZupCG6uBQfdy6dQ265SqPY71TsEYkFUSOOhRSk+h9aanlwfn9dwvmhAI6ob9D/3/1lbX//OOPclH6PuHbatjQbotGNtcsLS07mkVq2LB8sGWLLcr+Dp/etq0dCWoyPt8WW2jIbBHJGl26wPDhvzJ48OZAWRLdV1+10Y1++cXi16HHypX2HK3le6zy8mp2wbF4sV0A/PRT+UNETo41eOzcGQYPLn8B8Msvsyku7mvD6IqIpLDGjWGbbRYxeLD9v3IlvPsuvPZaIRc+NZWTPh7H2RtO5LWvC1nxv/J1cU16OVXFucrq3kL6dZrK9V+PIH9d2TlxKQXssXwqJf8qOydu1syCMV27VqyLf/zxDUaO3Dk+OdKUx7FeKVgjkipqO0x0QYE9aprRa906O+sOgjifzJzJlu3aWUDn8ssr5ooJ16qV5dcJD8ast178M2RqyGwRyWIdOthAgWPGVL3c2rV2sRC6YIgM5sTr/8WLrSfurruWXQCELgI6dKg8Bl9SskKBGhFJS40aWQuUnXcGzikE5nFflOW8t8B5XevayuZ9t6KQsxpO5YpPR9B4XSkrcgu4d6+p7DWgkH93KauLW7So/HT877/XKJl9mlKwRiSV1Efzwpwcy2fTsiV0786fq1bxz22EHXaovDtWQYElVqivgImaWoqIVCk3tyxeLyIi9c85a2Se2MB0Icy0c+L8iRM5XufEWUPBGpFUk8zmhXXpjpWo8qippYiIiIhkM50TZ6UMHyBSRGIWCtiEbtWqC5KIiIiIiEi9UrBGRCoKBWw6d1agRkREREREpJ6pG5SIRKfmliIiIiIiIkmhljUiIiIiIiIiIilEwRoRERERERERkRSiYI2IiIiIiIiISApRsEZEREREREREJIUoWCMiIiIiIiIikkKc9z7ZZcgYzrnfgfkxrtYa+CMBxUm2TNyvTNwn0H6lm9rsV2fv/QaJKEyqqWU9DJn5fcnEfQLtVzrJxH2C2u+X6uKq6fuSPjJxn0D7lW4y/pxYwZokc869573vk+xyxFsm7lcm7hNov9JNpu5XsmXi+5qJ+wTar3SSifsEmbtfyZap72sm7lcm7hNov9JNpu5XOHWDEhERERERERFJIQrWiIiIiIiIiIikEAVrku+uZBcgQTJxvzJxn0D7lW4ydb+SLRPf10zcJ9B+pZNM3CfI3P1Ktkx9XzNxvzJxn0D7lW4ydb/+oZw1IiIiIiIiIiIpRC1rRERERERERERSiII1CeCc6+ice9w5t9g5t8Q596RzrlMN1813zl3jnPvZObfcOfeWc25gostcE7XdL+dcH+fcXc65L51zpc65751zDzrnutZHuatTl88rYjtnO+e8c+6NRJQzxrLUaZ+cc5s75x5zzv0RfA+/cs79O5FlrmG56vLb6uScuy/4/pU65752zl3qnGuS6HLXoGwdnHO3BL/30uB71KWG66ZsnZFsqosrrJeydXEm1sOguriSdVOyLlY9nBiqhyusl7L1MGRmXax6OOq6KVkPB2VTXRxGwZo4c84VADOAHsBhwCFAd2BmDX8A9wBHARcAI4CfgWnOuW0SUuAaquN+jQJ6ATcDuwFnAdsB7znnOias0DUQh88rtJ1uwLnAb4koZyzquk/OuT7A20Aj4Ehgd+A6IDdRZa6JuuxXMP9lYCBwPrAHcDdwKnBvAotdU5sABwALgddjXDcl64xkU10cVUrWxZlYD4Pq4krWTeW6WPVwnKkejiol62HIzLpY9XDUdVO5HgbVxeV57/WI4wP4N7AW2CRsWldgDXBKNetuDXhgXNi0POAr4Jk03q8NokzrDKwDLk7X/YrYzjTgTqAEeCNd9wkL4H4GPJXMfUjAfg0LflvDIqZfGaxfkOR9ywn7+8igrF1qsF7K1hnJfqgujrpuStbFmVgPx+GzUl1c//uleji1visp+75mYj1c1/2K2E7K1MWqh6Oum7L1cOh9D/s76+titayJv5HAbO/9nNAE7/1cYBawVw3WXQ08ErbuGmAyUOScaxT/4tZYrffLe/97lGnzgd+B9nEuZ6zq8nkB4Jwbg90VOTshJYxdXfZpMNATuD5hpau9uuxXw+B5ScT0RdjB2MWpjLXivV9Xy1VTuc5INtXFEVK4Ls7EehhUF0eTsnWx6uGEUD0cIYXrYcjMulj1cEUpWw+D6uJICtbEXy/g0yjTP8N+8NWtO9d7Xxpl3YZYs7Bkqct+VeCc2xxoA3xRx3LVVZ32yznXErgBOMN7/1ecy1ZbddmnnYPnfOfcbOfcaufcb865m51zjeNaytjVZb9eBr4BrnLO9XTONXXO7YLdmbjDe78svkWtN6lcZySb6uIaSJG6OBPrYVBdHE0m1sWpXF8km+rhGkiRehgysy5WPVxRJtbDkNp1Rq0pWBN/rbA+dpH+AlrWYd3Q/GSpy36V45zLA+7A7iLcU/ei1Uld9+sa4GtgUhzLVFd12aeNgudHgOnAUOBqrBniQ/EqYC3Ver+89yuwg26oSevfwCvAVOD4+BazXqVynZFsqourkUJ1cSbWw6C6uIIMrYtTub5INtXD1Uihehgysy5WPRwhQ+thSO06o9bykl2ADOWjTKtJkzJXh3XrQ7zK9h+gH7CH9z7aj6q+1Wq/nHMDgEOB7XzQMTKF1PazCgVwH/DeXxD8XeKcywWudM719N5/HpcS1k5tP6t87GDbBkvC9j2wA5aAbA1wbBzLWJ9Svc5INtXFVUulujgT62FQXVx+gcysi1O9vkg21cNVS6V6GDKzLlY9HL5AZtbDkPp1Rq0oWBN/C4keuWtJ9GhfuL+AaEOutQybnyx12a9/OOeuAI4GDvPeT49T2eqiLvt1J3YX5EfnXItgWh6QG/y/3Hu/Mk7ljEVd9unP4PmliOnTscRj2wDJOjDVZb+OwPoeb+K9/zaY9ppzbjFwl3PuDu/9x3Eraf1J5Toj2VQXVyHF6uJMrIdBdXE0mVgXp3J9kWyqh6uQYvUwZGZdrHq4okyshyG164xaUzeo+PsM6zMXqSfV/6A/A7oGw7FFrrsKmFNxlXpTl/0CwDl3LjZE4b+99/fHsWx1UZf9+n/27jvMiart4/j33gYsRYqAojQRBTtgQUBkAQEBEXWxo9h7x66IFRWsj/raHsXeC4gVpSj6WLE3RIoFO52l7e55/zgTCdlsL5NNfp/ryrW7M5PkPtnknsk955zpDJyMT4qRW0+ge/B7WJXpyr4HoWhlOlKVruikX1WhMu3aEVgStVOK+DD42bmSsYUlkXNG2JSLi5GAuTgZ8zAoF8eTjLk4kfNF2JSHi5GAeRiSMxcrDxeVjHkYEjtnVJiKNVVvMtDdzLaKLDCzdviENbkM980ERkTdNwM4BHgjxLODULl2YWZnAtcAlzrn/lNdQVZAZdqVE+f2OX7Crxzg2WqItywq06ZXgbXAoJjlA4OfH1dRjBVRmXb9DjQxs9jJxfYIfv5aVUHWsETOGWFTLo4jQXNxMuZhUC6OJxlzcSLni7ApD8eRoHkYkjMXKw8XlYx5GBI7Z1Rcea7zrVvpN6A+vnL3Jf7SacPwyWoe0CBqu7b4cYFjYu7/JL4CfTzQD5/c1uDHgNbKdgGH4qvPr+Ir7NG37Wpru4p5vBnArNrcJuCKYPl1QH/8mZ/VwMTa2i6gHf4ShXOAo/EHDucHyz4G0sJsWxBjbnD7P/xZnFOCv/cu5f+VkDkj7Jtyce3JxcmYh6voPahcXPNtUx5OkPdKIr+uyZiHq+L/FefxQs/FysO1Lw8HMSoXR9oUdgDJeMOPl3sueNOvAF4E2sVs0y54842NWV4PuBlf9VwDfAD0CbtNlWkXflZ4V8xtRm1tVzGPFfqOqQregwacG+wE1gELgauAzFreru2Ap4Gf8TvaOcAEoEnY7QriK/EzUhtzRtg35eLak4uTMQ9XwXtQubjm26U8nFjvlYR9XZMxD1f2/xXnsRIiFysP1648HMSnXBzcLGiYiIiIiIiIiIgkAM1ZIyIiIiIiIiKSQFSsERERERERERFJICrWiIiIiIiIiIgkEBVrREREREREREQSiIo1IiIiIiIiIiIJRMUaEREREREREZEEomKNiIiIiIiIiEgCUbFGRERERERERCSBqFgjIiIiIiIiIpJAVKwRqSAzu8/MfjGzOjHLF5jZjJDCSghmNtHMXMyyNDP7xsyeCysuSR1m5sL6HJrZqOD5R9XQ84XWVimemU01sw/jLHdmNjGEkBKGmc0wswUxyxqY2d9mdlNIYYlIMXTMWzwd80p1UrGmAsysXXCwFX1bZ2Y/mdkjZta5mPstMLOlxawbETzG32bWLViWbWbnmdnjZva9mRUGz9W4+lonZWFm2wPHANc559aGHU9t4JwrBK4GDjSzPavrecxsqJnNMrOVZrbMzF6vyPOZ2RbBDvh3M1tjZl+b2TlmFjdvmlldM7vKzH40s7Vm9rOZ3V7c59XMmpjZtWb2VRDrn2b2XvBFPz1OLOeY2ZvB464zs1+D3LBDKe3YzcyeCdqxNjjYetHMdq7Aa9LDzB42s3lmttrMVpnZt2Z2l5l1Le/jJbrIAZiZFZjZjsVsU2xel9RlZoOA/sDYkEOpNZxzK4GbgNPMrG11PY+ZHW1mn5hZnpn9Y2bPmVmnCjxO5+C+/wSP9YmZHVXC9o2DfcLPQS7+Mdhn1I2z7Yw4x5mxt73i3C/dzE4xs/fNbLmZrQj2XXfG2fZqM5sW7BPWRO2DjjGzjPK+HiW0O3LM/GIJ2wwPthlbVc8rVUfHvOWXrMe85u1rZncHx68rgmPBj83srHi5w8y2NbP7zewz899z1wTHkU9b8J23hLgONbPpZrYkyLNzgjgbRm3TwMxGmtmzZjY3ePzF5k+YDC3va5FozDlX+layETNrB8wHvgeeDBY3AnoAewArgT2cc9/E3G8B0Ng51zhm+bHAvcAfwD6R+0U9D8HPJkBjoIlzbmmVNkrKxcyexh+Ibx674wr+zwucc31CCC0hmD9rfLRzzmKWpwELga+dc4Oq4XlHAQ/iP0tPARnAofjP577OuTfL+DhbAB8CmwHPAfPw/+9uwETn3DEx26cDrwP9gHeBWUBnYBjwJdDTObciavsmwCdAe2AG8BFQH9gf2AJ42Dl3dNT21wMXAj8E2y8GdgAGA+uAQc65GXHacSLwf8H2LwG/Ay2BnsA1zrlHy/h6pAP/AU4B1gJvAd8ADugUtLseMNw5N7ksj1ndzJ/lmlmZz2HkfRz8OcU5t1+cbRYQk9fNbBNgc+A359yyij5/OeKsdFulapnvUdPAObddnHUOeMg5N6rGA0sQ5s/Et3POtYtZ3gifvx9yzp1cDc87FrgCf0z1PP646lCgAJ+nvyzj4+yIz/VZ+H3NH/j8vQ0w1jl3Zcz2DYPtdwReAz4HdgdygDfxObwgavtRQLs4T90YOAtYij/+WBN1n3rAJGAf4FP8vqIA2ArY2zm3aUxMi/HHsV8DfwGbAIPw+6UpwDBXBV8Soo5lJznnhhezzXDgBeBK59zYyj6nVC0d85YslY55g+LyamANMB1/jNsIGApsic9vQ4JiVeQ+ucDdwHvAT/jvye2B/YA6wOHOuadiYkoL2nYUMAd4A8gDWuOPObs5534Jth0EvIrPY28BC/DH0gcB2cAlzrlxZXktEpJzTrdy3vA7UAe8GGfdncG6h+OsWwAsjVl2FlCI/2BsFbOuAf7D0iT4e0bw2I3Dfg1S+Yb/srsOuLeY9QuAGWHHGfJrNNGnl7jrbgze8+2q+DmbAcvwO61WUcu3BpYHn7HMMj7Wo8Fn7bioZen4A1gH9IvZ/vjI556gCB4svzBYfnXM9hcEy6+LWd4QX5Bx0a8PcCDQK06cI4Jtv4mzbg8gH1842iTO+oxyvLbjg+f5AGgTZ31T4Db8wUro778gJlfZz2HkfQz8GPzsGWebInm9NrZVtyr9f3QJ/ieXlPD/mhh2nCG/RjPwX/DirXs6yNn1q/g5OwU58RugYdTyHsHyd8rxWLOC/dg+Ucvq4Yvw+cC2MdtfU8y+4P9i9zWlPO+pwfZ3xll3R7DuvDjriuR7oG687fBfdors5yrxurejmGPmqG2GB9uMDfu9qVuR/42OeUt/jSaSIse8QCZwMTHHlfiiyIfB9gfHrKtD1LFx1PLt8IWfn+OsGx081q1AWsy6tOhlwM7AYbF5DugILAHWA1uE/T6p8P867ABq462kHQ+wW7Du6zjrFhB1UA+MiWwb/UEr4XlnUAXFGny3bAf0AY4Lnn81/gzLyGCbLPzBxUJ89fQjoHs1v66R9tUFbgB+xldR3wV2D7ZpBTyGr56uwp+J2SzOYx0LTA7iXwv8jT/jtGvMdnWD9q8FdolZtymwKPigt45afk4Q54Bi2rGAYnZc+LNorwD/BK/rN8BFcRLMqOA5RgEHAO8H7Z0R81rVA64PnjMfGFWB5/r3/VDSeyVqWZ9g2VigNzANv2OYH7XNRIrfce0R3P/yKn7/nBw87qVx1t0SrBtYhsdpFLwf5sRZt3PwOE/ELH8fvzPeMmZ5Jn5H+isbF3HuDh4nXgHmv8G6XUuLNdj++2D7TWOWv0FwVrWSr+s2weP8GfsccbatE/M5WIAv5NyN/ywVRN5LQF/8WZM5wXt7Bf6syyFxHrdd0MaJ+AORF/EHKSvwPYY6xLlPkQIG/ovIw8G6CcQ5eIjZfmKw7cgg9rfjbLOAokX4UcH9RsXZvm8Q81/B+2whPqftGKfNE4Hf8AfKC4Hb4/0PimnrFviTB3Px+f1vYDYwPs79d8KfTYvENAef/+vHialc/4eqvEW9pxqzoTfqSnyvto7BNp3wuX9JENuDRH0xD7bJAs4EpuI/m+uC1/nxyONEbdsc3yNtMUU/39sEzz8PaBS1/LbgddqmmHY4iinW4M8EzghiX43vIXFinO3GsmE/fjzwBT7PTyzL56+czzWRmAJySesoZf8VbDOD4os1hwT3H1nF75/rg8c9Is66F4J1ncrwOJ2CbafGWbd/sG5c1DILXv9lQHbM9psG77//lbENHweP3y1meWv8McD0Knidzgye46Qqet3bUYliDdAB/zn+JXitfgHuAprHbNenhMeIuy5YNgNfkHgYnyfzgmVdq/L9FyemGeiYN7LdKHTMW973T2jHvCU81mHB9neUox2zg/tEHz9mB+/DuUB6JV+ne4LHz63K178mb5qzpvqsL2ml+Qn0rsSfhdnbObeoRqLa2Dn4iu8HwAP4RP2wmQ0GngEOxif/Z/BnCl8NuvdXt6fwyfoFfDflPYA3zGw7/Je5Nvid6v/wO/gn4jzGnfiD7DfwSWsqMACYZWbdIxs534X48ODPx4NuxBH34YcynOyc+zlqeQ4behmUmZmdjj9jtSt+J3on/kvOOPyZxHgOwb8eP+OHocyKWf88vsvj6/izan9U4rnKqye++3Ye/uzgq2W836f4HUPfKoojYu/g59Q4616P2aYke+K/zBXpPuqc+xz/Gv/7OMF7ZjfgOxd0yYzafj2+m2grfIU/IjJEcqNusWbWANgreI6NhlGWIJJr8qMepwm+V96nzrl5ZpZjZhcE44lLHB8cx9H4sxj3OOf+LmlDV3Qsex38gU1vfDHgHvxBDvjeRT3xn6P/4D/HWwFPmtnZxTxFO/xBXEP85/M9fNfbqTGf3SKCrrvP4wsvlzjnRrtgT14GX+K/yO9lZkPKeJ94MZyL/1z2Bl4GbgbeweeUflHbbYsvkB+Fz3M3Ad8BZwAfmFnzUp6nPv6A/wT8l/jb8EN2/wFOj9l2L/xrOhTfffnmYLtLgWkWZz4NKvF/qAJZ+M/4bvj/yZv43D41mFfhPXyR9AF8IXMUvsgVrSm+nen4ItMt+PfhwfjXt31kQ+fcX/i5Gprg949pAGaWif8SVRdfVFge9fg5wGLn3JzyNMzMxgPP4l/fp/CflyzgHjO7pZi7XRjE/yX+//x51LpiP38VfK7yKm3/VZz3g59h7CN6V/Jx3sQX7qP3NdvgjyXedc7lRW8c5NTZwO7FfNb+FQy96gZ84Zz7JGb1gfj383Nm1iiYv+Fi8/PztChDmyLPkcaG/dJXZb1fdTE/98Zs/HHa//Bn2Wfjv6i+b2ZNq+BpGuPz5bb4Y8tX8f+/t8xssyp4/NLomHcDHfOWXSjHvKUocjxaEjPrgP/czY05ftwH/7l8Ecg0P6/rxWZ2gpm1KWMsFYopEVXZBGLyr+OCn+8Vs97M7F78QfQ7wNCYg7ya1AN/5mBhENgD+LM2j+EP8Hd2zq0O1n2GPxN9HP4gtzo1jnnuT4Pnfhe4zzl3QWRDM5sM7GdmXZ1zs6MeYzvn3PzoBzU/8fOH+DPG/SPLnXOfm9klwXNMwE9ueCJ+p/iIixlHiU9s81w55qIIvkTcEjz/wMh9zczwO6TTzCzXOfdszF33AXKcc+8U89Cb4l+rf2OpxHOVV3/8GcrHy3Mn59w6M/sK2MPM0lwwrtX8RLxnl+Ohljrnbo36O1IMmRtn2x+Cn1uX4XFLepzIY/Uys/rOuVX4s35ppWwfee7Il7f78V/ELw0ORj/Bn0kYFqw/KPagPp6g8LI98LHbeB6rLvizub+Y2RRgSMz9ngaOilNciadH8HN6GbaNtRk+pxzknFsXs+6UOJ/Rc/C580ozuzfOa7A3MNo5d1PUfR7EfyEfTvyD2MgcMpOBXvieA/dVoC1j8F/mrzWzV8pR6InEsAt+ONkC/HCqRVHrMvBdmiPuxn+2j3LOPRK13Rh8kf8G/JnU4vQD2gJnOec2KlSYWbOo3yNjwuvi88zMqHX/DZ7jAuCqmMev0P+himwOzASOdMEcH2b2H3wRahb+LONdwfIMfNHrSDO7yDn3R/AYS/DD+TY6SWJme+MP+C/F91YBwDn3qpndETzHefj/45X4LwZXO+fejXqMhvj5pKaVp1FmNhDf7XsScGjwpSpSFHoGONvMHnfOfRRz1x7Abs657+I8bNzPXyWeq7xK23/F5ZxbaGb/sCH3ROJuh3+PldUC59zEqL87Aiucc3/G2bZK9hHOuVVmtijmccqyT9kDX6wuqUgfOb78b5x1kSJ8E3yRMrrIsMrMTnLOPRbvQYPjnyx8DuqP7zl0T/T7uop0suInEC4ywbOZZeGLzAX4XiDfRq0bgf8SfhUxBegK2Blf0D07ktfN7Ap8T4pj8F/4q1NjdMwboWPe4iXKMW9Jjg5+xisgERQgD8afUGnDhp6Ip8RsGslnhfjvo9EnO9eb2aXOufGlxBI5AXogvqdVufZDCaU6uusk+40NXTq/wyfzsfgznx+wYX6DIsOa8AfpLrj9TVS36TI+7wyqdhhUkS55+A+rA/aKWb5lsPyhanxdZ5Ty3Cso2oX4yGDdMWV8jsn4CndWzHLDJxeH73FUpGt7sF2dYJt3S3iOBRQdknA7xQxtwXdBLASejVo2Ktj+mVJeqyFx1pX3uSLvhz4lvFf6RC3rEyz7qITXYCLFdAkN1r8SPEbzqGWRz1VZbwtiHnNOsDze2PzmwbrXy/AeuSTY9vhi1r8crN88+LtH8PejxWx/frD+sJjl9fEHotFtWoO/ekB2GeJsgD+bXgj0jVl3aPB4+fhuzUPwvSB2At4O1hUZDlPM83wbbL9tWbaP+Rw4YPty3u/cOO+5yHvjR4qOXd47WHdTzHIXfE5a4M/ErqWc3WDZMMRjl+Dv/wR/Hx7TzqUx9xtFzDAoNsxNcWgpz9km2G52nHV18UNyVhOVwyJtjfp7WLDshFKeq3ew3fNx1rUM3o8/Vub/UJW3qPdUm5jlvYLlPxAztA24LFiXU8bn+II4w3PYePjAmfgvkO9TtIv9tsHzPVbCczhihkHh902FQIs42+8Q3GdC1LKxlPA5LunzV4HninwO2pXwGWkXtSzy/o+7/wq2mRHvdY5a/w2wKmZZH8q3j5gRc/91wC/FPF9kCPs9ZXiP3Bts27+Y9V8Da6P+PjzY/ppito/MdbhnCc+ZxYZhis3irH+NDTn/peB9uAm+p8IS/NnlXYp57JVRr1kh/gt8mec0K8Pr1a4c/7OxUfc7MFg2upjH/Rj4O877Y2ycbeOuC5atpOiQz7bBuueq6nUo5jPg0DEv6Ji3LLcFMY8ZyjFvCY9zDHHybsw2uTFt+oM4w+vYMFVAPr5HWRf8MexAfK8rh+/sUFrbJlJMTqhNN/WsqZxt8VcViDYff9b092Luswp/MLgncL+ZHe6cC6tr1udxlv2O7ykQuy7SnlalPaj5Wf13iVn8onPuswrGFXnuH1zRM+1x4zKzrfEJKCdYlxVzv2b4OQoAn2HNz6r+Bb7nUAFFu7ZH7gf+4Kc8ImNWh1n8y8itJs6ZJfzBSEnira/oc5VXabGVJPL6bYo/AMU5twB/AFFRlblvvMdx1bQ9Qbf0yfizoAPwX/oa4Q/qrwNyzKy3i5pNP+b+mfizijsAVzjnYs/iR4a4puO7NL8c/P2FmR2IPyg71cwuc9V7Gc7Vzrmv460wf9WXC/BnVrbC9yyKtnmcu30R5zX5NfjZOM72LfG9LVrhd+xxz/aUw9X4A5KrzOwZ54e5ldVuwc83Stlul+DnjNgVzrk1ZvY+/jXbFl+si2cmPjfeaWb74L/IzXJFh+WU9Fx/mNl3wM5m1tBFXc2M8v8fNmLxr3QzMcgBpVninPspZllkP/ClC47Q4qyL3Ud0Y8NQvBb4M30Rsb3AIq/94fizt7fhv9wcGWf/XZl9xHL85zJ2XSS28u4jivv8VfS5yquy+4jOZlbPBT0OnL/iXWXzfJnzdAmqfR8RxzD8/vIZ59w/cdZHcv4f+Mk9Vwd/PxX0LLwHP4zyuNg7OucaBL0QWuEL+9fjh2UNdv5y6lWlLFeDirZH8HOHYnrk1AOamdmmrpQhuqX4wRXtMVCefDYcHfPG0jHvxpLpmLfoA5j1xRdYfgGOKG4753s3mZnVwff6ORc/xcZo59wtUZtG8tla4ICo79Svm9lx+GFe5+AnQC4upsvwPX2m4nuX1Voq1lTOvzseM2sJnAZcDjxtZn2LKcLk48cDv05wJZegYFMQZ9vqFm/4VT5AbMJ2zuUHB3WZce4TazgbusJFLAA+K0tQJTx3sfFGx2VmHfEH1A3xYzBfwB9YFwax7Yw/WxD7vL+a2Uf4yu1nLn4X4MgBUHnnZWiKT4iXl7BN/TjL4nXXLm19RZ+rvEqLrSSR16/UoT7lEOkW2wg/GWi0RjHblOVxNilmfeSxIu/Hsm4f/dw34w8wdnIbLhW7Ahhvfoz8ufgx7M/FPlgwtOMJYF98L4bYISrRz1VAzLhq59zfwRf+ffCXF/+smLgjfscf6GyB715fHn/FWxh0b5+JP8D9BH/2Y3EQ7y74YkSRzyjx/3+RHJAeZ93m+Nf/2+B5KsU596eZ3YofJnMCfpLLstoEf7Y99r0ZK/J++aOY9b/HbBcvzmVm1gNfXBqK39cQFF8ucc5FvhSV5bl2DraLLtaU9/8QaxRFx8DPwO8nSlPSfqCs+4he+OFOhfh98Vz8iRQXxNa2mOf+Gt97Z3v8Gct43cYrs4/IoOgJoGjl3UfE/fxV4rnKq7L7iEL8wXpVWU758nRxypLzox+nIvuIWJFhjw+UEtObUYWaiMgXmmLnKwuKnL8C9wZD0J7Fz4dU0nFEdYvMRxN7PBmrPr63ekUVed2jjjvLks+Go2PeWDrm3VgyHfNuJNifTg5i6Ouc+zXedtGCk4RfA8cFJy/Hm9nLUSeUIjF9HKfzw1T8fqHYfGZ+3sOr8UOfhofYKaJKqFhTRZwfCz8m+KJ1Av6S3DcVs+3yYMz46/ixe87MjgipYFPlnHOjKN+48qp2Nv5syOHOuY3mTjCzPfA7riKCau1A/OSa3czsVBfMfRBlKb47cXkntVuO/yJav5w9GUqsdMc5i1yR54qcIY93UFLsF8LSYitFk+Dnv18mqmD87g/45L01/sAlWmljcqOVNta3I/Bb1Jm4H/GvYUnbxz73vvgJSOP1jJiBL9Z0IaZYY2bp+EssHgT8xzk3upjnjOzw8orp/RHZEZblAOw9fDfgHMo5DwfFv0f2xxdl7nXOnRS9wswuDNZXhc+AR/ATJ75pZv2cc+U9QxhrPH5yy8vNbGI57rcU2NrMmpZSsIkcELUsZn3LmO3icn7+giOD4l4X/HvuLOAZM+vunPu4qp6rvJxzfary8SrgYvyZ5x7Ouf9FrzCzQ0q43xX4Qs0/wEFmNiSq11pEJKdVZB+x2jm3ZTnvV1IeLm5deZ8rrH3EP9E9uKpgzpofgO5m1sIVnbemSvYR5if3bsXGk7GWZZ9SiO/xWISZtcL3wPyF4nvmxX7JiVaefA8b5psoy2TL1SmSd/ZxzhWZ/DSOir5PK0XHvHHpmHdjyXTM+y/zcy6+gj/Z0dc590PsNmUwFX9SqScb8lix+SzoFbaCYv5X5iebvgU/fGpwnN5ptY6KNVXvEvylyy41s/vidCkEihRsDsEXbP6dMFEqpUPw86XoheZnve8a7w5BF9JbCSb/xH9hnmBm013UpHZBkvga6BA9UVgZfBg8926U/YoYFVXe51oa/NwizrouVRRTrG3wE9ZFJ9HGlHymN9ZC/P8sYiZ+rpZ9KLrjGhj8fLsMj/s+fhhE/9gVZrYz/gvsvxPwOedWB2endjezLV3UFaGC4Uo5+O7H0TuxOkCWmWW5ohPvRq70s9FBR1CoeQSfL+52zp1ZQhvm4g/stzSzLeKc6egc/FxYwmNEPIS//OWJZnZrMV3wIzHWKePBUtzPaKBnGe5fZs65/wav3d34Kwb1dxtPxlzex1tmZtfjizZnl+OuH+EnpB2An6uoOJ8FP4t8UQq6Du+Bn0umTL2cgjNKHwEfmdk8/HtoCL5Ld/RzxU5E3ALfo2pezBCoZNABXwiILdS0ZMN7k5h1PfFFno/w4+5nAw+Y2Y4xX/x/xZ9h7Fj0UUr0ITDIzFq7ja/EUh3K+1xLg59b4IvTwL8TVMf9IlgZwb56S4rm63aUbx8xE99rL/rv7vh9ROxku+XZR0Qm4t4Hf0XNaP3xXfijH2cOfh/QM3pYF4CZbYrfX3/kgome4xiF/2I5sYRjjun448/OcdaVJ9/DhiE2YZ+NjuzHuxPnSjVxLA1+1uSxTCLQMa+OeWvsmDdq3R74IdZr8fN3fRu7TRnFyzfTg59F8lmQMzdl42PqyLpT8XMLfgQMquJhnKHRpburWDBu9k58FfWsUrZdjv9AfYD/wD0SfKmQyonMZ/Dvl75gPPZ1+LkJNhKceX4MP2fGUc5fIeRIfDfTx4MhG9HewXc3Lc8Y2Lvwlf87zazIXBxm1tL8zP1VobzPFRkecmRw8B3Zbji+R0WVCs4StmLDAS/gx+8656wct3YxD/0M/gzLmcFzRJ5va/w4/fn4oQ/RsXQws05BUSUSxzJ8F/COwZmnyLbpbBj3en/Mc/8X3w33uuC9FnEu/j33QMwZocjlhS+JiWcT/NVmiH59bMNVew4LnutUShA81z3Bn9dEx2Rmh+F7B/zPxVwNp5jHmoMfttUCeMnMipyNN7PGZnYTvpBUFkU+o8HjHAjsV8bHKDPn3L3416wr/pKoxXX3Las78MWwC/ATPZfFvfgzetfFfi7NLCMojuD8fCwz8Wc6Y1/P0fihXU/GKfJFP94OZtY6zqpIT5nIl8VZ+LP5BwTDpqJdg59U9+FSW1b7/AQ0jc6DQZ6/gzhDfc3Pr/Qovkh2RPA/OoHgsx29bfDZexc/30pZ3xvgDzAB/hvv/Wlm7YOeJVWhvM8V2UccFbPpmfj5pqpaV/zJxNh9xIxy7iP6xDzuRPy+8VLzV+0CIHjv74efRHWjq2oF+4eN9vXBNu8B/czPCRXZth7+qnEF+Hwd2d4FfzciJufjr2aUSdF9SrRR+LP6D5awzXR8UaifmeVExZSJnzQV/H4tsnxrMyvyZTVoQ6RX+GslPF9NeBE/mehFZrZ77Eozqxd8YYz4Hn+Gf7+g10Jku63w79VkpWNeHfPW6DGvme2K72xQgO/5Vtz8eZHt94zzvsLMdsL3VF5HVM9t54cYv4XvjTwqanuLimmjq3uZv6LZHfgTKQOK6yxRG6lnTfW4CX8pwXPM7LaS3jBBD5sB+K6thwGY2Ui34ZKkE/AVRNiQKO8ys8iB+mhXuYnVktHd+ElAnzezp/Dd6PYC2uPPHvSJ2X4ssDswzgWXC3TOfWhmV+LHPF6Lv6JPxCT8RH39Kfkym/9yzn1pZmfgE8kcM3sFf0ajCf4MbC/8eNuKVqYr81zv4avQ+wCzzOy9YLt98N0bB1c2phiR6v2kqnxQ59w/5sepPgDMDv736fjPVT38JZtjhwS9hZ+foj0bz5dxAf59cq/5HnDzgri74a+IFnuW7wF8oWIksJWZvYM/I7A/8BX+UsvRLsYfWF0RHOy/jz8YGob/Qv2Mcy76jMiY4LGX4q/udIUVnRg0doLWm/BdS0fhvzjOCto5HL+DPzn2AUpwMX7M9ynAXDObyob3T0f8a1Ofsg9fegl/gHmh+ctufocvIA3Cj7c/oByxlYlz7u7gwOxO/CR1Fd6ZOz/Z7JX44VVQhnHhzrnPzOwC/JVWvjOz5/Fn21vhX78JbDhrdgq+kPK4+UvUzsF/gR2IPwC7sJSn6w/cZGZv47/ALMG/H4fiu2E/EsRUaGbH4uc1mmb+ku6/4ueTiVxSPrbnQDK4A5/f3g3yRD7+NcvET/YZ21vkLnyvjpMi3bydcy+Yv7z5cWZ2mnPuzqjtJ+G//PfFj+UvlXPuFTMbh/+szTWz1/EFweb4/113/ATkC8rd2so/1wv4s7rHBcXaL/FnoHfBfwGJnX+osvoFP6t6H/GdmV2DP5v9efAZbIzfR+RR9PKxsCHPxSbck/FFuZfM7En8fBb748+gX+mci+35dj0+v19mfnLrz/G95HLw+6G4hRgz643PsTOcc3GHSQVtKzCzY4LHet3MnsPnl374qwC+ycaFxV7AfWY2E98Tcwm+p8Eg/PvgbTYU9ULhnFsb5L9XgffN7A38MVcG/vO4N36ow6Co7f8PX9SebWaT8MN3DsAPtTiwxhtRM3TMq2PeGjvmNbOm+O+sm+D3b8ODQle02CGo4/DHoe/g9yVp+IskDMTn1jPi9AA/Bf/5fiB4/Ln4q6/uid8HjYuKKTLBMfi8fHacY+QZzk9SX/u4BLgkVW27seFyay+WsM34YJvLopYtIOYSr1HrNsF/YXP4ind61H1cCbd2FYh/bHDfPnHWzSA4ERRnnaOES7JVweta7uem+Msx9sMn5BX48bjP4ZPxxOjXDZ/E8/FDAjJjHiMdf0Zho0sj4xPLD8CHxcS6oLjXCZ9knsEfRK3DT+D5Pv7LeJuo7UYFcY4q72tV3ucKtm0BPI4/YFuFP0u3e7z3SnGveczjTSzhf/k6vuBQZZcGjXn8ofhkvQpflHiDYi6JGvX5KvI5wnfDfwh/EL4Wv6M/l+CzGWf7evgDnXnB9r/gD3YbF7N9Z3yvhZ/xY8JX4g8gzoh9jqj3bUm3eJ/n+viza/OC98Cfwf95mwq+tj2DmOfje2esxhda7gG6xHltF5TwWB3wXwL/wn9O38HvuIu899mQcyfGeZy46yg+Z5wWrHsPaFhKeyOv+y5x1qUHbXeU4dLdUesG4M9YL8H31FiAL55sH7PdVsFr/Xvwv/sJfzAa73LLG7U1eG/dBnyKH5KTh89Z/wFax7n/LsDz+Fy5Dn9QdB3QoCyvdWnrqvCzHfc9VUpccf8X+PniPg1em9+D/3VLYnIrvterw19QIN7n64fgMbaLWb4MeLqYdhT7OuHnFnoZP2HqOnzxbCa+x92mUduNpZjPfVk+f+V5rmDbrfET1a7E59XJxNmnlvb+j9pmRnHx4T9XcfevVfQ+GoU/+7o6+Hw8D3Qu4X/lilm3XXDfxcFjzQaOLuF5m+A/g7/g9xHz8PuMuiXc58EghpFlbNtO+Ly6OHiO7/CXr4+9dHNH/NDHz4Jt8/Gf/xn4QlR1XLr7xRK2GU4xxxVAG3zu+zFo0xL8l7X/ALvFbJuBLzZEXuMv8b1G+sR7fEo4ri1pXRW9LjNKeG/pmLeMr1V5nyvYVse8RdeV6ZiXsl1yfEbMfXKD/828IM61QSyPAd1LaFs7/PHRH8H/dD7++3XsJeZHlSGmYv9/iX6zoJEiUg5mdhr+4GFn59wXMesW4A9C+4QQWkIwP/Hq0c45i1neFn/ANdY5V6svpSciUhwzG4/vYdvWxUxma2YOf7ZyVBixJQIzm4H/wtAuZnlPfK+ykc65R0MITURi6Ji3ZDrmleqkOWtEKuZe/NnnMWEHUstcgu9JcUvYgYiIVKPr8L0tLgg7kFpmDH6I0ONhByIi/9Ixb8XomFcqTcUakQpwfhzoKOAL81dokVIE84UswE9oV+QSgCIiycL5S8SPxHffljIwPyHze8AJruxXnRGRaqZj3vLTMa9UFU0wnASCWe/PLsOmS51zt1ZrMCnEOfcufpyolEFw8D2u1A1FRJKAc+5l/JwwUgbOX2b1yrDjEJGidMxbPjrmlaqiYk1yaIy/ukFpFrLhaiNSfW7FX7Unlb1IFVy1REQkCV2Jn9g1lU3EH7uISO12KzrmfREd80o10QTDIiIiIiIiIiIJRD1rqtCmm27q2rVrV677rFq1ivr161dPQCFKxnYlY5tA7aptKtKuTz755G/nXPNqCimhVCQPQ3K+X5KxTaB21SbJ2CaoeLuUi0um90vtkYxtArWrtkmFY2IVa6pQu3bt+Pjjj8t1nxkzZtCnT5/qCShEydiuZGwTqF21TUXaZWYLqyeaxFORPAzJ+X5JxjaB2lWbJGOboOLtUi4umd4vtUcytgnUrtomFY6JdTUoEREREREREZEEomKNiIiIiIiIiEgCUbFGRERERERERCSBJF2xxsy2NLP/mNn/zCzPzJyZtSvjfeua2Xgz+83MVgeP0buaQxYRSSrKwyIi4VMuFhGp3ZKuWANsDRwMLAHeKed9/wucAIwBhgK/Aa+b2S5VGaCISJJTHhYRCZ9ysYhILZaMxZq3nXMtnXODgWfKeicz2xk4HDjHOXefc+4t/A7uJ+Cqaol0+nS6H3ooTJ9eLQ8vIhKS2pOHQblYRJJV7cnFysMiIkUkXbHGOVdYwbsOA9YDT0U9Vj7wJDDQzOpUQXgbTJ8OQ4dS948/YOhQ7ZxEJGnUmjwMysUikrRqTS5WHhYRiSvpijWVsD0w3zmXF7P8ayAL35W0agQ7JfKCp8rL085JRKQm8zAoF4uIxKdjYhGRBKBizQZN8WN6Yy2OWl95sTulCO2cRERqJg+DcrGISPF0TCwikgAywg4ggRjgille/J3MTgROBGjZsiUzZswo8Um6H3YYdWN3ShF5eaw57DDef/LJMoSb2FauXFnqa1HbJGObQO2qbZK1XYEaycOQGrk4Wd8ralftkYxtguRtVxQdE1ehZHy/JGObQO2qbZK1XRtxziXtDTgev7NpV4ZtnwK+j7P84OAxti/tMbp16+ZKNW2ac9nZzkHRW3a2X58Epk+fHnYIVS4Z2+Sc2lXbVKRdwMdOeXhjKZCL9RmoXZKxXcnYJucq3i7l4hgpkIedS87PQTK2yTm1q7apbcfEFblpGNQGXwPtzSw7Zvl2wDpgbpU8S04OTJkC2TFPk53tl+fkVMnTiIjUQjWTh0G5WESkeDomFhFJACrWbDAZyARGRBaYWQZwCPCGc25tlT1TzM7JAasmPqOdkoikuprLw/BvLnZ16wFQkJapLwgiIiEfE6++92HlYRERkrRYY2a5ZpYLdAsW7Rss2ztY39bM8s1sTOQ+zrnP8N0+bzWz482sH/4She2BK6o8yGDnlNewKQbMfmdVlT+FiEhYakUeBsjJwV55mbVWh1/TtsD10RcEEUketSIXB8fEKxttigHfvPlblT+FiEhtlJTFGuCZ4HZy8Pddwd9XBn8bkE7R9h8DPAhcA7wMtAYGOedmV0uUOTm8/9zT/JXWAnvu2Wp5ChGRkNSOPAyQk8MrfUbTJn8B30/6rtqeRkQkBLUjF+fk8MHzz/Btxg7Un/xEtTyFiEhtk5RXg3LOlThbvXNuAXFmtHfOrQbODW41Ii0znTnbH8guXz7C8t/zaLRZ7PBgEZHapzblYYB6R+wK0+HnW5+j0/BLa/KpRUSqTW3Kxenp8MOuhzPs/UtY9fUC6m/frqaeWkQkISVrz5papfEJuTRgFZ9e/3rYoYiIpKS6HRrz9SY92OL9Z3HxLlgrIiLVruVZhwIw99raf8luEZHKUrEmAXQ+aW8WpzWDZzUUSkQkLMsH5LLd2s/4bkrVXXRKRETKbtcR7fk4szubvKKhUCIiKtYkgLSsDOZsdwBdfn2JZX+sCTscEZGUtM3FBwGw8JbnQo5ERCQ1pafDvD0Op92yL8j76OuwwxERCZWKNQmi0bG5NGIFs2+YGnYoIiIpqVmXNnzbaHe2eE9DoUREwrLFOQdTQBoLxql3jYikNhVrEkSnU/uyNK0J7hkNhRIRCcuy/rnsuPZjvn11QdihiIikpO77t2RWVl+avvEEqpyLSCpTsSZBpNXJZE6n/en6yySW/bUu7HBERFJSx4v8UKgFN2solIhIGNLTYWHPw9ls1TxWz/ww7HBEREKjYk0CaXRsLo1Zxsc3vBV2KCIiKanZblsxp2FXNn9XQ6FERMLS/pwDWEsWP4/XUCgRSV0q1iSQbU/rz3JrROHTGgolIhKWpf1z6bLmfb55/eewQxERSUk9BjfmzTpDaD7tKSgoCDscEZFQqFiTQKxuHeZ0GkbXn19k2d/rww5HRCQlbX2hHwo1/6bnQ45ERCQ1pafDot6H0WTN76x5bUbY4YiIhELFmgTTcFQuzVjMR+NnhB2KiEhKarrHNvzYYCc2m6WhUCIiYel4zlBW0IDfbtZQKBFJTSrWJJhtTh/ASmtAwZPPhB2KiEjKWtI3l65r3uXrqYvCDkVEJCX12qcer9Y5gObvPAdr14YdjohIjVOxJsFYdj1+2GYoXX96gWX/5IcdjohISupwYS5pOObd9ELYoYiIpKSMDPiz32E0WL+UtZNeCzscEZEap2JNAqp/dC7N+ZsPJ7wddigiIimpSY/OLKi/HS3e0VAoEZGwbH9Wf/6mGX/epqFQIpJ6VKxJQB3P3Jc8y2b9E7oqlIhIWP7JyWW31W/z9bQ/wg5FRCQl7dU3k5fqHkyLDybDypVhhyMiUqNUrElAVj+bH7YeTNeFz7P0H12uUEQkDFudn0s6hcyd8GLYoYiIpKSMDPhnwGHUKVjN2qcnhR2OiEiNUrEmQWUflctm/MH7N70bdigiIimpyV478HP2NjSfqaFQIiJh6XJ6T36iNYvv1FAoEUktKtYkqK3PHMwaq6uhUCIiYTHj771z2WP1dL6a8XfY0YiIpKS9c9KYVO9Qmn/6OvzzT9jhiIjUGBVrEpQ1asgPHQbRdcFzLF1cGHY4IiIpqd3oXDIo4IcJ6n4vIhKGjAxYtu9hZLh81j2uk5gikjpUrElg9Y7MZQsW8b9b3g87FBGRlNQkZxcW1duKZjM0FEpEJCzdT96Fb+nEsns0FEpEUoeKNQmsw1lDWUsWax/TWQQRkVCY8VfvXHrkvclX7ywJOxoRkZTUJ8eYlH0Yzb5+G375JexwRERqhIo1Ccwab8KPWw2g6/xnWbpEp3RFRMLQ9rxcMsnn+xs1FEpEJAwZGbBy6GGk4Vj/6FNhhyMiUiNUrElwdY/MpQ0/8+6tH4UdiohISmrcf1f+qNuGZtM1FEpEJCx7H9+Rj9iVlfdrKJSIpAYVaxJc+7OGsZ4M1jyqoVAiIqEw44+9cumZ9wZfzloWdjQiIikpJwcmZx9Gkx8/gTlzwg5HRKTaqViT4KxpE35s158u8zQUSkQkLG3OySWL9Xw3/qWwQxERSUkZGbBm/0MoxFj/sHrXiEjyU7GmFsg6IpetmM87t38adigiIimp8cA9+KvOFjSZpqFQIiJhGXDMFsxkb9ZMfAIlYxFJdirW1ALtz9qffNJZ/YiGQomIhCItjT96HsReq17jy/dWhB2NiEhKysmBl+ofRsNfv4dPdRJTRJKbijW1gDXflHltc+jy4zMaCiUiEpItz86lLmv5ZvzLYYciIpKSMjKg8ICDWEcm+Y9oKJSIJDcVa2qJzENz6chc3r7zy7BDERFJSY0H9+CfrM1o/KaGQomIhGXwyGa8zkDWP/IkFBaGHY6ISLVRsaaWaHf2cApIY9VDGgolIhKK9HR+73EgvVe9wpfvrwo7GhGRlBQZClXvn19g1qywwxERqTYq1tQStllL5rfuzS5zn2XJkrCjERFJTVuelUs2q/lq/KthhyIikpIyMyHzoGGsIpv8RzUUSkSSl4o1tUjmobl05ltm3PVN2KGIiKSkTYbuxdLM5jSaqqFQIiJhGXZ4AyYzjIInn4H168MOR0SkWqhYU4u0OesACjENhRIRCUtGBr91P4A+K6fw+furw45GRCQl9e0LUxocRp0V/8DUqWGHIyJSLVSsqUVsi1Ys3KInO/+goVAiImFpdWYuDVjFlze9HnYoIiIpKTMT6h80iCU0oUBDoUQkSalYU8ukH5LLjnzJ9Lu/DzsUEZGUtMn+fVie2ZRGr2solIhIWA48NItnOQj3wguQlxd2OCIiVU7Fmlqm9VkHArBi4nMhRyIikqIyM/lt9+HkrJzM5x+uDTsaEZGU1K8fvNTgcDLWrIIpU8IOR0SkyqlYU8tYm9Ys3Lw7O83RUCgRkbBsdnoujVjB5xM0V4KISBgyM6H5Qb35zTan4DENhRKR5KNiTS1kB+fShU+Zdt+PYYciIpKSNjmwHysyGtNQQ6FEREKTe0g6T7pD4JVXYOnSsMMREalSKtbUQq3POgiAZQ9oKJSISCiysvhtt/3JWTGJzz9aF3Y0IiIpqV8/mNLwcNLz18Hzz4cdjohIlUq6Yo2ZtTazZ81smZktN7PnzaxNGe/bxsweMrOfzCzPzOaY2TVmVr+64y4Pa9+OnzfblR2/11AoEUlMqZCLW56eSxOW8ulN08IORUSkiFTIw1lZ0PagXZlnHSjUUCgRSTJJVawxs2xgGtAJOBoYCXQEppe2cwnWvwn0Bi4HhgD3A+cBD1Rj2BViubnsxkdMvX9h2KGIiGwkVXLxJgftw6r0htR/VUOhRCSxpEoeBhhxsPGYOwybMQ1+/z3scEREqkxSFWuAE4CtgOHOuRedc5OAYUBb4KRS7tsTvxM7yTn3kHNuunPuRuA24KBgp5cwtjhTQ6FEJGGlRi6uU4dFuw6j34oX+Oyj9WFHIyISLTXyMBuGQllhITz9dNjhiIhUmWQr1gwD3nfOzY0scM7NB94F9i/lvlnBz+Uxy5fiXyerohirhHXcml9b7MIO3z3L4sVhRyMispGUycUtT82lGYuZfcvMsEMREYmWMnk4Kwu2O6gzX6btTOHjGgolIskj2Yo12wNfxVn+NbBdKfd9E/gBuMHMtjOzBmbWFzgLuNs5t6pqQ60CB+WyJ/9j6oO/hB2JiEi0lMnFjUYMZHV6feq9oqFQIpJQUiYPA4wYAY8UHk7aB+/DvHlhhyMiUiWSrVjTFIg35e5ioElJd3TOrQF64V+Tr4EVwFvAFOD0qg2zarQ6MxeAxfdr9nsRSSipk4vr1WNR16H0X/48n31SEHY0IiIRqZOHgf794dVGh/o/nnwy3GBERKpIRtgBVIN45zZL7a5pZnWBp4AW+EnYfgJ2B8YA+cApxdzvROBEgJYtWzJjxoxyBbty5cpy3yfaVptsyw7fPcvkyV1p1Ci/wo9T1SrbrkSUjG0Ctau2qUXtqrFcXNk8DJV7XbNzdqDDR09x70XPsOyyzSr0GNWhFr1XykXtqj2SsU1Qq9qVUsfEW+zZifem9mCne+/j4x49Kvw4Va0WvV/KLBnbBGpXbZOs7dqIcy5pbsAfwD1xlt8F/FXKfU/D79Q6xCw/IVi+c2nP361bN1de06dPL/d9ov164lhXgLknbl5UqcepapVtVyJKxjY5p3bVNhVpF/CxS5FcXJE87Fwl3y8rV7rVafXcw41Oc4WFFX+YqqbPQO2SjO1KxjY5V/F21WQuTsVj4ilTnDuFO50D5774olKPVZWS8XOQjG1yTu2qbWrDMXFlb8k2DOpr/BjdWNsB35Ry3x2BJc65H2OWfxj87FzJ2KrF5mfkkobj7/tfCDsUEZGI1MrF9evz2y6D6b/8OT6bXRh2NCIikGp5GNhnH3i94QgKLB2e0ETDIlL7JVuxZjLQ3cy2iiwws3b4SxBOLuW+vwNNzGzrmOV7BD9/raogq5Jtvx1/Nu3E9t/qqlAikjBSLhc3OzmXzfmdD299L+xQREQgBfNwVhb0OqA509P74x5/ApxmfReR2i3ZijX3AQuASWa2v5kNAyYBPwP3RDYys7Zmlm9mY6LuOxE/gdorZna0meWY2fnABOAT/KUOE48ZBQfk0tvN5LWH/ww7GhERSMFc3OjQIaxLq0PWS7oqlIgkhJTLw+CvCvVw/uHYwgXw/vthhyMiUilJVaxx/lKCfYE5wCPAY8B8oK9zbmXUpgakE9V+59wCoDvwGXAN8Ap+bO69wD7OuYTt277ZGSNIp5C/738x7FBERFIzFzdsyKKdBtF/mYZCiUj4UjIP44dCTWs4nHXpdTUUSkRqvaS7GpRz7ifgoFK2WUCc2fCdc98AB1dPZNXHdtqRv5p0pPM3z7J48Yk0bRp2RCKS6lIxFzc7MZeGp07ipds+pMvD3cMOR0RSXCrm4Tp1oN8BjXjliaHs/9RT2M03Q0bSfd0RkRSRVD1rUpYZ+cNzyXHTePXRf8KORkQkJTU8fD/WWyZZkzUUSkQkLCNGwMPrD8P+/BOmTw87HBGRClOxJklsdlouGRTwx72Twg5FRCQ1bbIJv+0wgP7LnuWzT1WtEREJwz77wKyGg8nLbKShUCJSq6lYkySsaxf+2aQ9nb95ln/UuUZEJBRNTsilHQt59/ZPwg5FRCQl1akDg4bX5UU7EPfcc7BmTdghiYhUiIo1ycKM/P1z6efe5JXHloQdjYhISmp4xDDyLYPMSRoKJSISlhEjYOK6w7Dly+HVV8MOR0SkQlSsSSItTs0li/X8ft9LYYciIpKamjblt+360W+phkKJiIRlwAD4uGFfltVtoaFQIlJrqViTRGz33VjaqDWdvtJQKBGRsDQ+Lpet+ZF37vg87FBERFJSnTowZP8MnnYH4156CZYvDzskEZFyU7EmmZixdr9cBvA6Lz+hnZKISBgajhxOgaWT/oKGQomIhGXECHhw7WHYmjUwSRfgEJHaR8WaJNPilFzqsI5F904JOxQRkdS06ab83qkP/Zc+w6ezVa0REQnDgAHwVYM9+atBO3j88bDDEREpNxVrkozt2Z1lDVqx7ZcaCiUiEpZNjs1lW+bw9v99HXYoIiIpqW5dGLa/8Vj+obipU+Gvv8IOSUSkXFSsSTZpaawdchCDeJUpT64MOxoRkZTUYOQBFGKkPa+hUCIiYRkxAh5YcxhWUADPPht2OCIi5aJiTRJqfkou9VjDL/e+EnYoIiKpqWVL/timN32XPMunn4YdjIhIaho4EBY02JFfG2+voVAiUuuoWJOErFdPVtRvyTYaCiUiEpqGx+SyA18z4/++DTsUEZGUVLcu7DfMmLj2MJg1C376KeyQRETKTMWaZJSezprBBzLYvczkJ/PCjkZEJCU1OOpA/8vzz2kolIhISA4+GB5Yfaj/46mnwg1GRKQcVKxJUpuelEt98vjlvlfDDkVEJDW1asXvW/ek72INhRIRCcvAgfBXww7Ma76HhkKJSK2iYk2Ssr17s6repnT84ln+/jvsaEREUlODo3PZhc+Zds8PYYciIpKS6taF/faD+1cdBp99Bt99F3ZIIiJlomJNssrIYPWgAxjipvDS06vDjkZEJCVFhkIVPquhUCIiYRkxAh7MOxiXlgZPPBF2OCIiZaJiTRJrdlIuDVnJgnvfCDsUEZHU1KYNf7bfQ0OhRERCNHAgrGywOd9tluOHQql6LiK1gIo1Scz65pBXt4mGQomIhKj+0bnsyie8ed/8sEMREUlJ9er5oVD3LD8M5s6FTz4JOyQRkVKpWJPMMjNZPXA4+7nJTH5mbdjRiIikpPpHHQRAwdMaCiUiEpYRI+ChlQdSmJmloVAiUiuoWJPkmp6QyyYsZ969b4YdiohIamrfnr/adiNHQ6FEREIzaBDkN2jCF632hSefhIKCsEMSESmRijVJzvr3Y3WdTdj6cw2FEhEJS/ZRuXTnA964/6ewQxERSUn16sHQoXDn4sNg0SJ4552wQxIRKZGKNcmuTh1W9x/G/u5FJj2zLuxoRERSUv2RfijU+qef11AoEZGQjBgBj63Yj/y69f1EwyIiCUzFmhTQ5IRcmrCUufdNDzsUEZHU1LEj/2y5Mzn/aCiUiEhY9t0X0upn88mWw+HZZ2GdTmSKSOJSsSYF2MABrM1qQIfPNBRKRCQs9Ubm0ot3ef2BX8MORUQkJUWGQt365+GwZAm88UbYIYmIFEvFmlRQty55ffdjuHuBF5/NDzsaEZGUlH1ULgBrn3xBQ6FEREIyYgQ8u3wf1jVqpqFQIpLQVKxJEY2Pz2VT/mHOfTPDDkVEJDV16sTiVtvTR0OhRERCs+++UKd+Ju9vkQuTJsGqVWGHJCISl4o1KcL2HcS6zGy2+vRZ/vor7GhERFJT3SNy6c3bvPLgH2GHIiKSkrKz/VCoCYsOh7w8eOmlsEMSEYlLxZpUkZ1NXp8hHOCe58XnCsKORkQkJWUflUsajjUaCiUiEpoRI2DKsl6sab6lhkKJSMJSsSaFbHJcLi35k+/unxV2KCIiqWn77Vm62bb0+VtDoUREwrLvvlAvO413Wh0Cr70GixeHHZKISBEq1qQQGzKY9Rl1af+JhkKJiITCjKzDc+nDDF6eqEQsIhKGyFCoG346HNavh+efDzskEZEiVKxJJQ0asKr3vhzIc7zwXGHY0YiIpKTskblkUEDeE5M0FEpEJCQjRsBbS7qQt+U2GgolIglJxZoUs8mxubTiN7757//CDkVEJDXtvDPLm3dgbw2FEhEJzeDBkJ1tTN/sMJgxAxYtCjskEZGNqFiTYmy/oeSnZ9HuYw2FEhEJhRmZh+XSj7d46SHNkyAiEobsbBgyBK6bfxg4B089FXZIIiIbUbEm1TRqxKpeAzmIZzUUSkQkJPVG5pJJPquemKyhUCIiIRkxAt77Z1tWdOwKTzwRdjgiIhtRsSYFNToml9b8whf//SjsUEREUlO3bqxo1pbefz3L7NlhByMikpoGD4Z69WBq88Pho4/g0UehXTuYPj3s0EREVKxJRTZsP/LTMjUUSkQkLGZkHJLLAN5g8qPLwo5GRCQl1a/vh0JdPecQHMCxx8LChf5SUSrYiEjIVKxJRU2akNejPwfxLM8/p/73IiJhqDcylyzWs+KxlzQUSkQkJCNGQOO/fwBL85fxBsjLU8FGREKnYk2Kajgql/Ys4LMH1P9eRCQUu+/OyiZbaiiUiEiI9mswnSkMxVzMXI4q2IhIyJKuWGNmrc3sWTNbZmbLzex5M2tTjvt3NrNnzOxvM1ttZt+b2VnVGXMYbPj+FFg6bT96lj//DDsaEUk2ysVlkJZG+sEHMYjXmPToirCjERFJSfVOPYb65MVfmZcHxxxTswGJiASSqlhjZtnANKATcDQwEugITDez+mW4/67AB0Ad4HhgMHATkF5dMYemWTPy9ujrrwr1vPrfi0jVUS4uu3pH5lKXtSx7/GUNhRKRKqWieRk9+CD5Wdnx12Vnw4MP1mw8IiKBpCrWACcAWwHDnXMvOucmAcOAtsBJJd3RzNKAh4C3nHPDgvtPd87d65y7udojD0GDUbl0ZC4rbv2vZr4XkaqkXFxWPXqwapPNOfDPu1jXqp3ysIhUCRXNyyEnh/UvTGEVMQWb7GyYMgVycsKJS0RSXrIVa4YB7zvn5kYWOOfmA+8C+5dy3z7AdkDyfRkohh0wnEKMM78/RTPfi0hVUi4uq7Q0MnvsTm/eoc7vysMiUmVUNC+HeoNzuHGvKeRFF2xOPVWFGhEJVbIVa7YHvoqz/Gv8wX9JegU/65rZ+2a23sz+NLPbzaxelUaZKL7+Gkszssj3f2siNRGpGsrFZTV9OlnTXsMifysPi0jVUNG8nLY7LYchTGF1y7aw/fbwyCOwQvOJiUh4kq1Y0xRYEmf5YqBJKfdtFfx8CngD2Ae4Ed/18/GqCjBhTJ8OQ4dihZr5XkSqnHJxWQR5mLVrN16uPCwilaeieTkNHQrftsxhQMcFuAcehD/+gHHjwg5LRFJYRtgBVIN4UzRanGWxIoWrR51zY4LfZ5hZOnC9mW3nnPumyAObnQicCNCyZUtmzJhRrmBXrlxZ7vtUhe6HHUbdvOJnvl9z2GG8/+STFX78sNpVnZKxTaB21Ta1qF01losrm4chnNdVebhi1K7aIxnbBLWmXVVVNL8DuAjYFbgKaA0cUEUxJpT69eGqq+Ckk+DFX3fjgCOPhJtvhhNP9HM7iojUsGQr1izB75xiNSH+DivaP8HPqTHL3wCuB3YBihRrnHP3AvcC7Lrrrq5Pnz5ljxaYMWMG5b1PlXjiCX8KId4Xhexs6j7xRKXiCq1d1SgZ2wRqV21TS9pVo7m4snkYQnpdlYcrRO2qPZKxTVCr2qUTmOXUoYPRtu2unHGG0ezGYfR85hn+OfZYvhkzpvQ7FyMR2lXVkrFNoHbVNsnarmjJVqz5Gt/tM9Z2xCm0xLkvFN2xRXZqMeOFarmcHD/DfcwXhTVp2dTVzPciUjnKxWVRTB5eTV3+umsKbZSHRaTidAKzgu66C4YMgc//GUHvC7+ixVVX0eKaa6BHjwo9XqK0qyolY5tA7aptkrVd0ZJtzprJQHcz2yqywMzaAT2DdSV5FVgLDIpZPjD4+XEVxZg4Il8UsjfMfD+28DLeKtQXBBGpFOXisorJww5YYO05/dk+oYYlIrWeiuYVtO++0K8fXHklLD3xAmjVCs45B2LneRQRqWbJVqy5D1gATDKz/c1sGDAJ+Bm4J7KRmbU1s3wz+7dPo3PuH2AccLKZXWdm/c3sImAM8FD0bPpJJfJFoU0bClttwbGZj3LBufkUFIQdmIjUYsrF5RHJw23bYuefT2f3LXWmPKv5hUWkMlQ0ryAzmDABFi+GcbfXh+uugw8/9ENXRURqUFIVa5xzq4C+wBzgEeAxYD7Q1zm3MmpTA9Ip2v6rgAuAg4FXgFOA8cAJ1Rt5yHJyYOFC0u74D9us/4ZuXzzAww+HHZSI1FbKxRWQkwMLFsC4cRTusCMTMi7ionPW6kSuiFSUiuaVsMsucNRRcOutsGCvkdCtG1x0Ufw5xkREqklSFWsAnHM/OecOcs41cs41dM4Nd84tiNlmgXPOnHNjY5Y759zNzrmtnXNZzrm2zrkxzrn1NdmG0AwfjuvVi3GZYxh3yQpWrQo7IBGprZSLKyg9nbQJ42mbP48en9/Fo4+GHZCI1EYqmlfeNddAejpcclka3HIL/PIL3HRT2GGJSApJumKNVIIZNmECzdb/wZG/j9f+SEQkDAMH4vYZwNj0q7nhoiU6kSsiFaKieeVsuSWcd54f/fRhnb0gNxeuvx4WLQo7NBFJESrWyMb22AMOOYQL0yfwyPW/8ttvYQckIpJ6bMJ4GhUu5ZjfruWWW8KORkQkNV1wAbRoAaNHg7v+BsjPh0suCTssEUkRKtZIUePGkZVWwCVrxnD55WEHIyKSgnbaCTvmGM5K+w9PXjeP338POyARkdTTsCFcdRW88w5M+nIrOPtseOgh+OSTsEMTkRSgYo0U1b49duYZHO0e5KP/fsEXX4QdkIhICrrqKtLrZHDZ6ku44oqwgxERSU3HHQedO/teNusvuBSaN/eX8naxVzYXEalaKtZIfJdeCo0bc0vG+b7rp/ZHIiI1a4stSDt/NIe4p/jyvvf5+uuwAxIRST0ZGTB+PPzwA9z9eCO4+mrf1eb558MOTUSSnIo1El+TJqRdMYa++W9gU1/n9dfDDkhEJAWdfz6FzVtyU9pozh+tqrmISBgGD4Z+/eDKK2HpQcfBDjv4rjZr14YdmogkMRVrpHinnorbqgO3Z43mgvMKyM8POyARkRTToAFp117NngXvUve1F5g6NeyARERSjxlMmACLF8O48Rlw880wbx7cfnvYoYlIElOxRoqXlYXdcD3brvuK3b6ZyAMPhB2QiEgKOuYYCjtvx00ZF3LRuesoKAg7IBGR1LPLLnDUUXDbbbCg4z4wdChccw38+WfYoYlIklKxRkp20EG4PffkhqzLGXfpSlasCDsgEZEUk5FB2oTxtM+fS8+v7uahh8IOSEQkNV1zje9lc+ml+K42eXloBngRqS4q1kjJzLAJE9h03W8c9fdN3HBD2AGJiKSgfffF9evH1RlXcuMlS1m5MuyARERSz5ZbwnnnweOPw0fLt4VTT4V774Wvvgo7NBFJQirWSOl69IDcXC5Ov5HHJvzGL7+EHZCISIoJCueNCpZwzB/juOmmsAMSEUlNF14ILVr4oo0bcwVssgmce64unSoiVU7FGimbceOok7aey9Zf4bt+iohIzdplF+yoozgn7TaevH4BixaFHZCISOpp2BCuuspfvXvSO039MKipU+GVV8IOTUSSjIo1UjZbb42ddhrHuP/yycNfMXt22AGJiKSga64hI9MYs/ZSLr887GBERFLTccdB587+6t3rTzgVttnGd7VZvz7s0EQkiahYI2V32WVYo0bcmnmB7/qp3p4iIjVryy1JG30eh7nH+fKBj/jii7ADEhFJPRkZMH48/PAD3PNApp9s+Pvv4e67ww5NRJKIijVSds2aYZdfRv/1r5IxYyovvRR2QCIiKejCCyls3oJbMkYz+jynwrmISAgGD4a+fWHsWFi211Do18//sWRJ2KGJSJJQsUbK5/TTce3a8Z86o7lwdIF6e4qI1LSGDUm7ciw989+m3puTee21sAMSEUk9Zr5DzeLFMO56g5tvhqVL/YQ2IiJVQMUaKZ86dbDrr6fT2i/Y44dHuPfesAMSEUlBxx+P27YTt2RewEXnrSc/P+yARERST5cuMHIk3HorLGi0k5/M5o47YM6csEMTkSSgYo2U38EH43bfnQlZl3LDFXksWxZ2QCIiKSYzExt/I1utn0Ovb+/lgQfCDkhEJDVde63vZXPppcDVV0O9enD++WGHJSJJQMUaKT8zbMIENl23iKP/uZnrrgs7IBGRFDR0KK5PH67JGMuNly5jxYqwAxIRST1bbukvBPX44/DRTy191WbyZHjrrbBDE5FaTsUaqZi99oIDDuCSjBt4/JY/WLAg7IBERFJMUDhvkv83x/59AzfeGHZAIiKp6cILoUULGD0a3JlnQbt2cO65UFAQdmgiUoupWCMVd/311GUNYwrHcvHFYQcjIpKCunWDI49kdPotPDX+J375JeyARERST8OGcOWV8PbbMPmNunDjjfDFF2iMqohUhoo1UnHbbIOdcgrHFt7H509+wwcfhB2QiEgKuvZaMtMdY9Zf5udMEBGRGnf88dCpE1xwAazfPxd69YLLLiN91aqwQxORWkrFGqmcMWNIa1ifW7Mu5LzzwLmwAxIRSTFt2mDnnsORhY/w1cOzmT077IBERFJPRgaMH+8vBHXPvcGlvP/8kzaPPx52aCJSS6lYI5Wz6abYpZcyYN0Ust6dxvPPhx2QiEgKuugiCpttym0Z5zH6PKfCuYhICIYMgb59YexYWLbNbjByJK2feQZN7igiFaFijVTemWfi2rThjrqjueiCQtatCzsgEZEUs8kmpI29gl75M8ie8TIvvxx2QCIiqccMJkyAxYth3DjguutwaWl+BmIRkXJSsUYqr25dbNw4tlvzKd3nPcadd4YdkIhICjrpJNzWHbkt63wuGp1Pfr6FHZGISMrp0gVGjoRbb4WFBVvy86GHwtNPw7vvhh2aiNQyKtZI1Tj0UOjWjZvqXsr4q1azfHlG2BGJiKSWzExs/I10WPcdPb//L1OmbB52RCIiKemaa3wvm0svhZ8OOQS22ALOOQcKC8MOTURqERVrpGqkpcGECbRY8zNHL7uNRx5pG3ZEIiKpZ//9cXvtxbjMMTz7YDOWLQs7IBGR1NO6NZx7Ljz2GHyzsIUfE/XRR6DJhkWkHFSskarTpw8MG8aYjOuY9UIWc+eGHZCISIoxwyZMoOn6Pzlp+a1cf33YAYmIpKYLL4QWLeD//q8D7vAjYNdd4aKLQJfyFpEyUrFGqtYNN1C3MI8ruIqLLgo7GBGRFLT77nDYYZyfNoGnb/6FhQvDDkhEJPU0agRXXglffNGYyVPS4JZb4Ndf/QzEIiJloGKNVK1OnbCTTuKEwnv48rnvmTUr7IBERFLQddeRmVbAFQWXc+mlYQcjIpKajj8e2rRZxQUXwPo9esGIEXDjjb5oIyJSChVrpOpdcQWubh1uq3sh552nudRERGpcu3b8etCBHFnwEF899hkffRR2QCIiqScjA04+eR5z5sC99wI33AD5+XDJJWGHJiK1gIo1UvVatOCnIw5n0JpJ1P1wJk8/HXZAIiKp56cjjoAmTbg9czTnnetwLuyIRERST/fu/5CTA2PHwrKm7f1VoR5+GD7+OOzQRCTBqVgj1eKX3FzclltyV73RXHxhIWvWhB2RiEhqyW/YkLQrxtB7/VvUn/UakyaFHZGISOox89PU/POPvygUl1ziZx4+5xxURReRkqhYI9WisE4d7Lrr2H71x+z505PcfnvYEYmIpKBTTsF16MDtdc7n4vPzWbcu7IBERFJP164wciTceissXNIIrr4aZs2C554LOzQRSWAq1kj1OeII6NKFW+pdwoRr1vDXX2EHJCKSYrKysBtuoOPar+k5dyJ33x12QCIiqemaa3wvm0svBY47DnbcES64AHU/F5HiqFgj1SctDSZMoOXqhRyz8j9ceWXYAYmIpKADD8T16MENWZczYexKli4NOyARkdTTujWcey489hh8/Gm6v5T3/Pmo+7mIFEfFGqleffvCkCFckXktz/zf33z3XdgBiYikGDPspptotu53jlsygWuvDTsgEZHUdOGF0Lw5jB4Nrm8/2G8/3+Xmjz/CDk1EEpCKNVL9bryRevkrGJt+NRdeGHYwIiIpqHt3OPhgLsoYzzO3LWL+/LADEhFJPY0awZVXwsyZ8NJL+JmHV6+GMWPCDk1EElDSFWvMrLWZPWtmy8xsuZk9b2ZtKvA4F5uZM7NZ1RFnStluO+yEEzix4C6+mfwDM2aEHZCIVDfl4gQ0bhxZtp6xhWO4+OKwgxGR6qY8nJhOOAE6dYLzz4f17beB006D+++HL78MOzQRSTBJVawxs2xgGtAJOBoYCXQEpptZ/XI8zlbApcCf1RFnSho7lrTsutxe7yLOOw8KC8MOSESqi3JxgtpqK+z00zmq4AG+eeoL3n8/7IBEpLooDyeujAwYPx7mzIF778X3qtlkEz+hjS7lLSJRkqpYA5wAbAUMd8696JybBAwD2gInleNx/g94DPi26kNMUZtthl14Ifuufp56s2fx6KNhByQi1Ui5OFFddhnWeBNuzbpA3wtEkpvycAIbMgRycmDsWFiW3tT/8uab8PLLYYcmIgkk2Yo1w4D3nXNzIwucc/OBd4H9y/IAZnY40BVQJ/Gqdu65uFatuLv+eVxysSMvL+yARKSaKBcnqqZNscsvp++612nwvzd47rmwAxKRaqI8nMDM/HQ1f/8N118PnHIKbLutn3l46lRo1w6mTw87TBEJWbIVa7YHvoqz/Gtgu9LubGZNgFuAC5xzi6s4NsnOxq65hh1WfUjPRU9zyy1hByQi1US5OJGddhqufXv+U/d8Lr6ggLVrww5IRKqB8nCC69oVRo70V/D+6bdMX735/nvf7WbhQhg6VAUbkRSXbMWapsCSOMsXA03KcP/xwBxgYhXGJNGOOgp22onbsi/m5nFr+f33sAMSkWqgXJzI6tTBrr+ebdd8Qa/5D3PnnWEHJCLVQHm4FrjmGt/L5tJLgexsSEuD9ev9yrw8FWxEUpy5JBqwbmbrgJuccxfHLL8WuNA5l1HCffcC3gK6Oue+CpbNADKcc71KuN+JwIkALVu27Pbkk0+WK+aVK1fSoEGDct2nNiipXU0+/pidzz+f0TaB74ccxnnnzanh6ComFf9XtZnatUFOTs4nzrldqymkImo6F1c2D0Nyvl9KbJNzdD3tNNbMXcKOWd9y3+Nf0ahRfs0GWEHJ+L+C5GxXMrYJKt6umszFOiZOHKW167772rPo8Xm8kTWYzHVriqwvqFOHL8eNY2mXLtUZZrmk6v+qtlK7NqjpY+JKc84lzQ34A7gnzvK7gL9Kue83+EnUGkfdZgH/C36vU9rzd+vWzZXX9OnTy32f2qDUdg0a5FbVaeya2T/uyy9rJKRKS9n/VS2ldm0AfOxSJBdXJA87l5zvl1LbNGuWc+Aut6vc2WfXSEhVIhn/V84lZ7uSsU3OVbxdNZmLdUycOEpr17Jlzv2U1tY5P+d7/FvbtjURapml6v+qtlK7NqjpY+LK3pJtGNTX+DG6sbbD73hK0hk4Gd9lNHLrCXQPfj+l6sIUxo+n3vrlXJl1DeefH3YwIlLFlItrg5494cADuST9Bp6943fmzi39LiJSaygP1xKNGsHsMx5kFdnxN8jOhgcfrNmgRCQhJFuxZjLQ3cy2iiwws3b4HczkUu6bE+f2OX5ythzg2WqIN3XtsAN27LGcnH8Hc177kTfeCDsgEalCysW1xfXXU4e1XMkVXHRR2MGISBVSHq5FBo/P4dTWU1htcQo2l13mr/MtIikn2Yo19wELgElmtr+ZDQMmAT8D90Q2MrO2ZpZvZmMiy5xzM2JvwFJgWfD3LzXZkJRw1VWk1cnk9voXM3o0FBSEHZCIVBHl4tqiY0fs1FMZVXA/3z73NbNmhR2QiFQR5eFaJDMTcu/MYbCbwvqsoGBTrx5svTVcdRXMmBFqfCISjqQq1jjnVgF98bPXPwI8BswH+jrnVkZtakA6Sdb+WmfzzbELLmDIqmfY68s7yGvRTjPeiyQB5eJa5vLLsUYNua3OhTx+wnRc23bKxSK1nPJw7TN0KNAnhxF1p1DYui28/DK89x60bw/77QcffBB2iCJSw4qdCb62cs79BBxUyjYL8Dun0h6rT9VEJcUaPRp3++38Z/FZpC0upHDwUNJemaLuniK1nHJxLbLpptill9L/ggvo9d2bGGv9t4YpysUitZnycO1iBhMmwK675nDpqQsYF0m/b74Je+0F++7re9jstFOYYYpIDVIVXcL14YfYypWkUQhA2po8CgcP1VldEZGatNNOODPqstb/nZfnCzbKxSIiNaZbNzjqKBg/Hl54IVjYqhW89ZafaHiffeD770ONUURqjoo1Ep7p0/2XgXXrNlqctiaPwiH6kiAiUiOmT4cDD8T8JXs3UMFGRKTG3Xkn7L47HHIIvPpqsLBdO9/Dxjno3x8WLAgxQhGpKSrWSHiOOcZ/GYgjbXUeBUcdU8MBiYikoBJyMXl5fr2IiNSIBg3glVdgxx3hwAOj6uWdOsHUqbBypS/Y/PZbqHGKSPVTsUbC8+CDvktnHHnU4/iMB/n77xqOSUQk1ZSQi1eRzSenP1jDAYmIpLbGjeH116FDBz+38HvvBSt23tl3t/n9d1+w0YGySFJTsUbCk5PjJ7CM8yXBtW7NK791ZcAAWLq05kMTEUkZxeRiBzzS/Dx6X5HDO++EE5qISKradFPfkWbzzf3cwrNnByu6d4eXXoIff4RBg2DZslDjFJHqo2KNhCv2S0J2Nlx7LfV/m8d3Ww1m/pcr2XdfWLEi3DBFRJJabC6uVw/baSdOWnwdoxq/yJAh8OGH4YYoIpJqNt/czy3cpAkMGABffRWsyMmB556Dzz/3c4utWhVqnCJSPVSskfBFviS0bet/XnIJPPkkTeZ8wJxO+/HVh3kMHVr8lAoiIlIFonPxyy/DrFnYbrtxx18HM6L+KwwcCJ99FnaQIiKppU0bX7CpU8ePfPrhh2DFkCHw2GN+jNQBB8DataHGKSJVT8UaSQw5OX5m+5wc//dBB8HDD9P865nM2eEAPnh7LcOHw5o1YQYpIpLkonNxw4bw6qvYjjty/+IDGZjxFvvsA998E3aQIiKppUMHfzGowkLo1w8WLgxWHHww3H+/Hy916KGwfn2ocYpI1VKxRhLX4YfD/fez+RdvMGeXg5k+dT0HH1zkSt8iIlJdGjeGN97Att2Gx1cNo2fhO/TvD3Pnhh2YiEhq6dzZ12RWrIC+feHXX4MVxxwDt98OL77ofy8sDDNMEalCKtZIYjv2WLjzTtp8NplvuxzBKy/lc+SRkJ8fdmAiIimiWTOYOpW0tm14bu0Qdlj1wcZndkVEpEbsvDO89hr8+acfEvXnn8GKM86Aa6/1w6JOPRWcCzVOEakaKtZI4jv1VLjpJrb+9Bm+6HYMzz1TwLHH6sSBiEiNadkS3nyT9JbNecUNou3iT+nXDxYtCjswEZHUssceflqxhQv9pMOLFwcrLrkELroI7rkHzj9fBRuRJKBijdQO554L117Ldp88ysfdTubRRwo55RTth0REaswWW8C0aWQ0acRb6fvQdNFX9OsXdWZXRERqRO/eMGkSfPutv6z38uXBiuuug9NPh5tugquvDjVGEak8FWuk9rjkErjsMrp8cj/vdjuLe+91nH22CjYiIjWmbVuYNo3M+nWYVbc/WfO/3/jMroiI1Ih99oFnnoHZs9lw1VQzuO02GDUKrrgCbrkl7DBFpBJUrJHa5aqr4Lzz2POTO3ir6wXcfrvjkktUsBERqTEdOsBbb5GV6figYT/WfDOPQYOizuyKiEiNGDYMHn0U3n036urdaWlw332Qm+t7pt93X9hhikgFqVgjtYsZjB8Pp51G39kTmNL1Cq6/3s+pJiIiNaRTJ3jzTeoWrmZ2k778PfsnhgyBVavCDkxEJLUccgj897/wxhv+St7r1wMZGX6y4X33hZNOgscfDztMEakAFWuk9jHzlyg8/niGzL6ap3e5jssv98NzRUSkhuy4I0ydSvbapXy+aV/mv7uI/feHNWvCDkxEJLWMGgV33gmTJ8PIkVBQAGRlwXPP+QlujjrKT3IjIrWKijVSO6Wlwd13wxFHMOKzS5m48y2MHg133RV2YCIiKaRrV3jtNRqu+oOvNuvHF2/9SW4urFsXdmAiIqnl1FN95/OnnoLjjw+umlqvHrz0EnTr5rvdTJ0adpgiUg4q1kjtlZ4OEydCbi5Hf34ud+34f5x2Gjz4YNiBiYikkO7d4eWXabx0Id9u0Z//vfwPhx8O+flhByYiklpGj4axY/3h8RlnBHM6NmwIr77qh68OHw6zZoUbpIiUmYo1UrtlZPhxuPvtxylfnsqE7R/guOPgiSfCDkxEJIX07g2TJ9Ps7zl8s+VA3nxuKaNGBV3xRUSkxowZA+ef73ubX3hhULBp2tRParPlljBkCHzySdhhikgZqFgjtV9mJjz9NAwYwLnfHM+V2z7OyJHwwgthByYikkL694fnnqPlH1/wVZvBTHpsBSefHHTFFxGRGmEGN9wAp53mh0VddVWwomVLePNNaNIEBg6Eb74JNU4RKZ2KNZIc6taFF17A9t6by344ivO3eo5DDvG9PkVEpIYMGQJPPsmWv37IF23247H78zj77ODMroiI1IjItThGjfLDosaPD1a0bu0LNpmZvsD+448hRikipVGxRpJHdja89BK2xx5cN/9QTmk9hQMPhGnTwg5MRCSFHHggPPII7X5+m0/bDOfe/6zhootUsBERqUlpaXD//f7S3hdc4K8WBcDWW/uCzdq10K8f/PJLqHGKSPFUrJHk0qABvPIKtssu3PrLQYzcbCr77Qfvvht2YCIiKeSww7AHHmDbn6byYdsR3HLjOq6+OuygRERSS3o6PPII7L8/nH561EU4tt8eXn8dFi/2PWz+/DPUOEUkPhVrJPlssgm8/jrWqRP3/L4/BzSdyb77wkcfhR2YiEgKGTUK/u//2GnhFN5tczhXXZG/oSu+iIjUiMxMfznvAQP8Jb2feipYseuu8PLL8NNPfuWSJaHGKSJFqVgjyalpU3jzTax9Ox5ePIR9GvyPgQPhiy/CDkxEJIWcfDLccgu7/fQcM9oczUUXFGzoii8iIjWiTh1/4Y1eveDII2Hy5GDFXnvBiy/Ct9/CvvvCihVhhikiMVSskeTVvDm89RZprTbnmRWD6J75Cf37+/2RiIjUkLPPhuuuo9dPj/NamxM54/RCHngg7KBERFJLdjZMmQJdu8KIEf5K3oDvVfPUU/DxxzBsGKxeHWqcIrKBijWS3DbfHKZNI23Tpry0bgDbF3xBv34wd27YgYmIpJCLL4YxY9jnpwd4sfUZHH+c44knwg5KRCS1NGwIr70G220Hw4fD228HK4YPh4cegpkzfSVn3TqYPh3atfM/RSQUKtZI8mvdGqZNI71+PabSn7Z539Kvnx+iKyIiNWTsWDj/fIb9fBdPbDGakUc6Xngh7KBERFJLkya+V027djBkCHzwQbDiiCPg7rv9PDYDB8LQobBwof+pgo1IKFSskdTQvj1Mm0ZGZhozM/vRdPFc+vaFRYvCDkxEJEWYwQ03wBlncMivN3PfZpdzyCHw6qthByYiklqaN/dX727ZEgYNgs8+C1aceKKfa2zGDMjL88vy8lSwEQmJijWSOrbZBt56iyzW836DfmT9tpB+/XS1QhGRGmMGt94KJ5zAMYuu5ZZNr+HAA2HatLADExFJLa1awVtv+aFR++wTzOk4fTo8/HDRjVWwEQmFijWSWrbfHqZOpc6a5XzSuC/rF/zKgAGweHHYgYmIpIi0NN/VfuRITvvtcq7c5CaGDYN33w07MBGR1NK2rS/YZGRAv36w/shjNvSoiZWXB8ccU7MBiqQ4FWsk9eyyC7z+OvVW/MXnm/bjn2/+YNAgWLYs7MBERFJEWho88ACMGMEFf4zm/Ow7GTzYX4xERERqTseOfkjUunVwVMGDFNbLLn7jww8H52ouOJEUp2KNpKbdd4dXXqH+4p/5ulV/fpr9N0OGwKpVYQcmIpIiMjLgscdg//254q/TOTnjfgYMgC++CDswEZHUsv32ftLhV9fkcFSTKUULNnXrwrbbwrhx0KsXDebMCSdQkRSjYo2krl694KWXaPTHXL5tM4Bv31vCmL2mU9i2ncbkiojUhMxMeOopGDSI65ecyBHuUcbuPZ31W7RTHhYRqUFdu/oJ319clsNxLabgIgWb7Gx45RX45hv473/hhx/odvLJfiLiv/8ON2iRJKdijaS2vn3hhRdo8stX/Lh5D67+dAhpPy0kf9+huGn6oiAiUu3q1IHnn8f69OH2ZUfxxNJBZC5ayPpBQyl4U3lYRKSm7LknTJkCT/6Rw0lbTKFgy7Z+QU6OH7567LEwZw6/HHQQ3H+/v3jHnXdCfn7YoYskJRVrRAYNgjFjaLzoO7JZDUDG2jzW7jOU7+/WFwURkWpXrx6MHo2ZUYd1AGSuy2PdgKF8PF55WESkpvTpAy+8ABMX5rDZmgXc9W3OxrWYxo358bTT/JjVrl3h9NOhWzeYOTOskEWSloo1ItOn+zG4MeoW5rHlKUO5tv90fvophLhERFLF9OkwYgQUFm60uJ7Lo/MFQ7m4+3S++Sak2EREUsygQfDBB7DDDnDaabDTTvDyyzFzC2+3HUydCs8956/S0acPHHoo/PxzWGGLJB0Va0SOKf4yhfXJ48i3jmHbbeH++9uzYkUNxyYikgpKycOnfXg0O+0Ep54KS5Zk1nBwIiKpp0sXmDYNJk3yo5yGDqXoJPBmcOCBfj6bsWP9xp06wbXXwpo1YYUukjSSrlhjZq3N7FkzW2Zmy83seTNrU4b77Wpm95rZd2aWZ2Y/mdljZta+JuKWED34oJ88rRib7dScs/t+wWOPtWXrreGeezQ0V6Q0ysVSLqXk4VYNl/FEj//w4D3rOPLIPbj+en0PEBGpbmYwbBh89RXcdht88gnssguMH78tv/0WtWF2NlxxBXz7Ley7L1x2mb/E1OTJutS3SCUkVbHGzLKBaUAn4GhgJNARmG5m9Uu5+6HA9sDtwL7ARUBX4GMza11tQUv4cnL85GmxXxSys+Hkk6nz01zGvboL3+45jF7tfuHkk2Hnnf2M+dr/iBSlXCzlVlIevvtu0nbdlRHvnMmyLbfn7C0f5uKLHdtuC088oTwsUhwVzaWqZGXBmWfC3Llw9tnwxhst6dgRrrkmplNku3bw7LN+eFTdurD//r548/33IUUuUrslVbEGOAHYChjunHvROTcJGAa0BU4q5b43OOd6Oufucs7NdM49DgwCmgSPK8ks9otCdrb/+//+D378Ec49l20+fo1nv9yGbw+8lKw1yxk8GAYOhC+/DDd0kQSkXCzlV1wePukkePNNeOUVshrV5do5x7F0u57kZL3L4YdD9+7w7rvhhi6SaFQ0l+rQtCncfDNMnPgRAwfC5ZfDttvCo4/GTDnWvz989hnceiu8/76f/Ob882H58pAiF6mdkq1YMwx43zk3N7LAOTcfeBfYv6Q7Ouf+irNsIfAXsEUVxymJKPJFoW3UZQrB75kmTODDhx7CDjiATs9fx+zlHZh24B189tF6dtkFTjgBfv891OhFEolysVRMcXnYzJ+d/ewzvhs9mk2WLGDi3F4s6HogmfPn0KuXn5/4xx/DDV8kgahoLtVmiy1W89xz/gJQLVvCyJGwxx7wzjtRG2VmwllnwZw5cPTRcNNNvrLz8MNFJpMXkfiSrVizPfBVnOVfA9uV98HMrDPQAvi2knFJbZGTAwsWbPiCEGXN5pvDY4/BRx9hO+xAzvNn8Fuz7bl/8PM8NNGx9dZw9dXFzpEpkkqUi6XiSsjDpKfz+5Ah8MMPcNVVtJ0zlXcWb8eHu53GRy//SefOcN55sGRJjUctkmhUNJdq17s3fPghPPKIP2nZuzccdJAfLvWvFi3g/vv95aXatvWFm169/AQ4IlKiZCvWNAXiHaItxp8NKDMzywDuxu+Y/lv50CRp7Lqrnx5/yhTS62RyzJSDWLZTL87c9T3GjIFttoGHHtJJA0lpysVSverX9/3v587FTjyR3Wbfw7z0rXlyx2u5++Y8tt4abr8d1q8PO1CR0KhoLjUiLQ2OPNJPS3P11fD66/6q3ueeG1M43203eO89P6H8jz/6v088Ef4qUhsUkUBG2AFUg3hTDVoFHucOoAcwxDlX7Dk6MzsROBGgZcuWzJgxo1xPsnLlynLfpzZIxnYVaVP9+tjtt7PZa6/R7sEHue6fnhy7cz9OXzGeUaO6cO21KzjllB/p0mVpWCGXSTL+r0DtSgA1losrm4ehVr2uZZaMbYI47Tr4YOp1785W993HgbMuY2Dj25jQ4HLOOetUxo9fy0kncKBldQAAIr9JREFUzaNnz7+xirz7alAy/r+SsU1Qa9qlornUqOxsfxGo446DMWP8dDUPPeQvEnXKKX5UFGlpMGoUHHAAXHWVr6o//bT//dRTISMZv5qKVJy5JLqMgpn9AbzonDspZvldwAjnXPMyPs444ELgaOfcI2V9/l133dV9/PHH5QmZGTNm0KdPn3LdpzZIxnaV2KZVq/xY3BtvxK1dy5y+J3Po12P47NfmDBsGN97oh+kmomT8X4HaFc3MPnHO7Vo9EcV9vtBycUXyMCTn+yUZ2wSltOudd/wklh98wPJ2O3Je/o3c/8tA9t7buOkm6NatRkMtl2T8fyVjm6Di7arJXGxm64CbnHMXxyy/FrjQOVfmb8VmdjdwHL5o/kYJ20UXzrs9+eST5Yp55cqVNGjQoFz3qQ2SsV1ladPcufW5++4OfPJJU1q3zuOkk36kR49/NiqcZy9cyNZ33EHTjz9mZfv2zD3jDJZ26fLv+saffkqnG27guwsv3Gh5dUnG/xUkZ7saf/op24wbx5yLLy7XeyMnJ6dGj4krzTmXNDf8rPez4iyfAcws42Ncij8jfEZ5n79bt26uvKZPn17u+9QGydiuMrXp99+dO/lk59LTXWHDhm7GgGtdiwarXEaGc6ef7txff1V7mOWWjP8r59SuaMDHLkVycUXysHPJ+X5JxjY5V4Z2FRY69/TTznXo4By4n7bt53Iaz3bg3MiRzv38c42EWW7J+P9KxjY5V/F21WQuBv4A7omz/C7gr3I8zjigEBhZnufXMfEGydiusrapsNC5l192rlMn58C5nBznZs+Os9ELLzjXrp3faMQI5xYudG7aNOeys/2y7Gz/dzVLxv+Vc0nYrkq8N2r6mLiyt2Sbs2Yy0N3MtoosMLN2QM9gXYnM7EzgGuBS59x/qitISWItW/rLfX/5JZaTw95vXMqihttwf6+J3H1nAVtvDePHw9q1YQcqtdL06XQ/9FCYPj3sSEqjXCzhMfOXhvrmG7jtNlr//RlvLevGJ9sfxXtP/sQ22/jpblauDDtQqZVqTx7+Gj9vTaztgG/K8gBmdin+st1nuXL0NBeJMIPBg+GLL+DOO+HLL30Px2OOgV9/jdpo+HCfs6+6yl8JsGNHGDhww1U78vJg6NDa8LmT6jZ9un8vpMh7I9mKNfcBC4BJZra/mQ0DJgE/A/dENjKztmaWb2ZjopYdCtwKvAZMM7PuUbdyT8QmKa5zZ5g0CWbOJL31Fhw94xhWdOzKGdu8zgUXQKdOfoiuS55RiFLdgp1T3T/+qA07JeViCV9WFpx5pp+E+IIL6Dr3aX6wbXiy7YX855qlbL21v0BJQUHYgUqtUbvysIrmkjAyM/2UND/8AKNHw+OP+wtyjB3rZxIAoF49X0l/4AGfmGNniE/yL+VSBrGFmogkfm8kVbHGObcK6AvMAR4BHgPmA32dc9Hn0AxIZ+P2DwqWDwL+F3O7q9qDl+TUuze8/z48+SR116/g6o8G8XfXAeya8RmHHAI9e8L//hd2kJLo3LTpFA6uPWcRlIsloTRuDNdfD3PmYIcewrDvx/NXow5cVO9WTj1hHV26wBvFzsIhEqh9Z3NVNJeE07ixn8fxu+/8x+fKK33RZuLEqKuoXnRR8VX0vDw44ghdcjWV5OfD7Nlwxx3xCzUReXm+y1aSSapiDYBz7ifn3EHOuUbOuYbOueHOuQUx2yxwzplzbmzUslHBsni3PjXcDEkmZnDIIfDtt3DLLTRb8AlP/9iVOXsezdq5P9Ojh189f37YgUqiKCiATz/1F0m4rufLrOu3L2lratdZBOViSTht2vhLk8yeTeYe3Th7wTksbtmZvX9/ioEDHYMHw9dfhx2kJJo//oCZY95i/T6Da9XZXBXNJZG1bw9PPQXvvgutW/vv2LvuGnyUHnzQX1qqOL/9Bq1awciR8Mgj8PvvNRa31IDFi+Hll/2lxfr2hU028WPnzjgD6tbFpafHv192tn/vJJmkK9aIJKw6deDss+HHH7Hzz6fj7Kf4eMU2vN3zYmZOXkanTnDBBbDypenQrl1CHvxJ9Vi71h+wjBsHI/ZZymENp/Bm1/PZ46w9uPi9odShmEmOkvQsgki12mUX35Xmtddo0KI+//nrUBa17o57+x122glOPtl/QWe6cnGqcQ4WLIBHJhZw9QGzua7FLfxvs+H0unoAmQVr4t8pgfOwiuaS6Hr08D3Mn3gC/vnHfzcfflsOP//flKIFm+xsP4fAxInQrx+8/jocdRRsvjnsvLO/EuDUqbB6dShtkQooLPRzFf33v/6a7507Q7Nmvgh+/fWwfDn5o47j+yse564LFjB497/Zr85UVhHnvTFlCuTkhNOOaqSL2YvUtMaN4YYb4NRTscsvZ69HrufXJvfxZMcxPDS+E2njDwDyKBw8FHt5CtY3+RJPqluxwh+cvPMOfDHtb+p+9A57rp/JIGZyIZ+ThqMgI4v8Lrtj2xwBzz4bf1bqJD2LIFIjBg6E/v3hkUfY/LLLeHVVb75sP4zD7r+BYx/+jRfzh5K5Pug5kaQHganOOd/pddb09fwyeTZ1PpjJLstmMoxZbMJyAJY068DyrQfQ+NNp2Lp1RR9EeVikUszg0ENh//3httvguutgq5dzuHm/KZz+2lBsdV7RL+NHH+2/6H/+uS++v/66v/OECVC3rp+GYOBAGDAAtt+eja4XLuFZsQI+/NAfBL/3nv+5dKlf17Qp9OjBukNG8mXDHrzy125M+6A+7z8Aa4JaeefO0HtkDv9rNoW+twwlLd57I8moWCMSlrZt4eGH4ZxzSD//fI546ywON8OCWYfT1uSR128oE/pMYdMROey9t09SaeoPV+v8/TfMmuWLM1+/9TtNvphJL/c2hzCTq/HjLvKz6lG4x56k9bsC9t6b9D32IL1ePf8Axx1XdJxuku+cRGpEejqMGgUHHwy33sqO11/Pl257CtakkeHy/TZ5eawbMJSPrphC51NzaNo01IilEvLz4bPP4N1pa/ljykfU/3gmu62eyeG8RwP8LKeLW3Yiv9ehFA7fm7Q+vWmy5Zb+zvEmtlQeFqky9er56WqOPRauuALOvjeHN+pN4dHGx7D4pgdpu3fOxkNC0tKgSxd/u/BCP1PxzJm+ePPGG3DeeX67zTf3RZsBA3yBvkWLMJqXPKZP970JH3yw5NznnJ/jIVKYee89f1mwyHxD228PI0awcsc9+TCjB6/+uA1vv2PMvtbn6rQ03xH25JN97a1XL2jePPLgOdB/CmsOO4y6TzyR1DlYxRqRsHXpApdcArNmYTG9J7LJ4/wZQxg842VOI4dmzXzC6t0b9t4bdtrJf9eQxPLzz74w8/bb8MO0n9n8h5nszUxOsrfZxs0BIL9eA+jRE/odAb17k7Hbbv7qNfHk5PgvBJEvCvqCIFK1srN9Hu7cGTv4YDLy8zdanZWfxy6XD2W/y6fwz045/+bg3r113J/I1qzxJ3Hfe2s1i195n8afz2TP9TM5kfephz9Vu2SLHcjPGYXbb29s7940bdky/oMpD4vUiBYt4P/+D04/HUaPzqHxawvgOGh2wYbj38gx8EYnMOvX99cJHzzY//3zz35Y1BtvwEsv+TnLwB93R4o3PXv6aQqkbKKL1rG9Ttes8RMBRwoz770XjCkGGjSA7t3hsstYvO2ezFyzB2/NbsLbb8OX9/lNsrJg9939aLbevf0QuUaNSoglJ4f3n3ySPn36VGeLQ6dijUgiOPbY+MNcgHqsZlrGQL7rfSIzC3rxyCe9OOcFf6Zvk018pTnypaFrV395RKliJZxFcA6+/94XZ95527Fg2jw6LHqbvZnJxTaTtsH0APkNGmN77wV9ToC99yajSxfIKEcKDr4opMJZBJHQnHOOP6UXR33yeD1jCA+svprH7+vFPXd0YT1ZdOq04ctD796wxRY1HHMqKeWM7rJl/vvBB2+tZNmr79Hyu5n0KpzJuXxIFuspxFjWbhcK+p8MQ/aGvfaiSbNmZX9+5WGRGrP99vDqq75zxsyZG24vvODXN24Me+21oYBT5LCqdWt/fH3ssRuu3BAZMnXTTX5Kguxsf+fIkKmgd3sRZe1NksziXRFv0CAYNgx++cUXaiJDRTt0gAEDcN335Ne2PXjrjx14+9103n4c5s71m9Sv7wsyBx/s/4+77+57V8nGVKwRSQQPPlj85egyM7GddqLzhw/ReeWdnAzkb9mWn9v24j3rxVPf9OLCl7fDkfZv4ot8adh9d50wqLSYswgFk6bwedMc33NmpuO3Gd+z45KZ9OZtrk+bSavCXwFY33hTMnJ6Q59zfM+ZHXesfDeoFDmLIBKaknJxejqZLZpw0g+jOQkoqFOPX7bYg/fye/HMI7046Z49WUEjOnTYkIP33tvPUSxVIM4Z3T+397n4ozeXkffGLFrPm0lvZnIZn5BBAQWWzvJtulEw8GwYuDdpPXvSpHHjysWhPCxSo9q397dRo/zfP//sey5HijcvveSXN2zoO8pEiufdukV1WE5P95eb2nVX34tyxQqYMWPDkKmzzwage/PmsN9+vnDTrx9sumnJvUlqUk0WjJzzV2VatAh+/RWmTYNbb4X16zfebt06P6/iDjvAWWdR2L0Hc5rtyfRvWvL22/DOdf7u4Kek6dVrw7CmXXbRCeayULFGJBHEdq+OiO5mnZ/vx3rOmkXGrFm0f+ct2v/+GEcAhZs05vcOPfm4Ti+e+7EXV0/dlbXUpU4d3+swsuPq3r3kqyHKxta8Op2sA4duuGx2Xh7r9hnMO5xAK37jnrS32bTwTwDym29Get+9/32xMzt31oR2IrVNWXLx77/Du++SPmsWbWfNou2n4zisoACXlsZfm+/ER4W9eP6pXlz6QE9+ZUvatGGjYVMdOyo1lNv06bihQ7GoM7pr++7LTIbSgXkM53PSKaQgLZMVnXencN8LYZ+9Se/RgyYNGoQbu4hUqdat4Ygj/A38lbwjxZu334aLL/bLs7Nhzz03HAPvvrufexjwlZ399vM38JeBmzqV5Y89Rt3nn4cHHvCJumNHmDdvQ4/LsAo2VVkwWr16QxEm8jP690WL/G1NMVfAi2PZrys4es6NvPNfX+MBf3X13r039H7abjvNu1kRKtaIJIrSxsNnZPhxTl27wplnbpi4a9Ys0mbNotWsWQyb/TLDgIlZWSzusBuf1e/FS7/04s6re3DVVU3JzITddtvwxaFHj1BbHLoVK2DhQr+P3ujnfMcOc57jzuUjSWPjnVU91nAW/6Fg0xak7zvw3xczY+ut9Q1MJBmUlos32wwOOsjfAFauhA8+wGbNosWsWQz534MMWXUHAMubtuVzejF5Ui9ufbQXJ7Idm22ettHcY9ttp9QB/rvQr79unI8X/bCKrT5+irO+O5U6bDxUuA5ryeU5VnXcGQ65HPr6idkb64yESErZfHM45BB/A/jrLz80PdLz5oor/CFziScw27WDE07gm44dabHXXvDxx3D33f5CIJEJcSPy8vw1xlu1gpYt/cQqm2zif8a7FbeuTp2yJf94w4/iFWwKCuDPP+MWX3b68ssNRZolS4o+R3a2H8PbqpV/YVq18n9Hlv30E+644/2VuWKsIpvhSx7k56/8Fb0iBZqtttK+rSqoWCOSSCJfEsrSzdHMZ8KttoKjjvLL/v4b3nsPmzWLZrNm0e/jm+m3/gZuBVa03Z5vGvfktT968ej4Xlx/fTvS0oyOHbsydOiG5NqkSfD4STA+d+nSDQf9sQWZf+Yto/HS+bTH37ZiHn3T5tMxYz6t8+dTp7DkMwrp9ev5nbiIJJ/y5OIGDXx3+X79/N/5+f5ysrNm0WjWLPZ65032WvEY44G12Y35xnry2qu9ePypXpzLrjTctC577QWtWm1B48aw0YjJJMjDEevW+WkNovPxT/PyWT3nZ9IWzKPBX/Np5+bRnvlsw3wGMY8W/FXiYxrQYN1SuHps9TdARGqF5s3hwAP9DXxtInLRh5kz4Zpr4Kqr+PcEZqR48+8JzPR02GMPX/2JLdREW7rUn0BdtswntOXL/W3ZsmLnPttIZmbpRZ6///bHmrHDj/Ly/FCtPfbwyXXRIt/rs6Bg4+3S02Gzzcho2BA6dYI+fTYUYqILMo0asWKlFTmBueDdyO892X71ZkxhKPXZULBZm5HNhxdP4bGTc2jVqvQmS/mpWCOSaHJyfIasiE039RN9DRvm/169Gj76CGbNouGsWezx7pPssfxergDWNGvFDy178fLSbrxw+z7cctNOOEtnxx3h+A7TOeXloWSsy6Nw8FD++O8UXJ8c6tb1XUjr1Kmhq1CVMrHv4sVxesUs8Lef5+7GpnlzNirG9Eqfz7GZ82lTMJ9G6xdv9HiFjTbBtmqPbdUZ2g/2O8Z77ok/8XN2to9JRJJXRXNxRoafLKFbNzjrLJ+s5s2DWbOoM2sWXWbNosuil7kYKMjI4se03Zg2rRdTlvWi753NcI2b0qsXHLnFdHIfGkr6mpDnSYAyFY3WroWfftq4GPPB+52YcMGf/xZj2jPv35ycwzxa8zMZbPhyUZiWzpqWbaFde7I67Q8dt/JfSiZMiN8lX7lYRErRpMnGh8bLl8O7727oeTN+PIwb549rIycw994b+vznQRocWswcZiVdDc45nxCjizeR3+Pdotf/+it8++2Gv4u5+AjgC0Iffuhj2GGHor1httjCX1orPZ3ZM2bQtWufjU9efrFxvv7nn40fvk4daNvWdzrq0gXats3hf6umkHNzsF/KzqbOlCnk1PITCYlOxRqRZFav3oZrfYOvuH/9NcyaRd1Zs9jxnXfYcdHTXMSF5Gc3ZOHme/LDX63o88UTZARdztPW5NHoiKEMZQoz2JCQMzI2FG6iiziR30taV5bfN/t2OjtfOpT0tXnkDxrKs6Om8E5Gzr8FmZ8WFNJo1aJ/D/zbM589MuZxVNZ82hTOp9maX0ljw6z+LisL2rXD2reHrXbfMGPdVltB+/ak/dulKMrw4SXPXSEiUhozf2WMDh3g6KP9sr/+gvfeI33WLLaZNYttPrmZk7kBgF9te76f3p6eq94gneDKGnl55PUdyrEtpvBp45wK59UK5eX3ppM2zOfBwsFD+XjsFGZvsiEX//HjSpg/nwZ/+6J4JB/vyTwuYT7ZbPxFZ22Tlrh27cncZk/Stz5io1yctuWWZMe7Sl7fvsrFIlIlGjWCfff1N4BVq+B///OFm8mTC7n9dl8fNsvh+A5TuGPBULLyN+SewnrZLH14Culdc6i71k9ivNFwH7MNCbRFi8oF+/rrcMAB/uRrrJgcuHTphuLLglkbn8CcO7cnK1dufPd69Xwhpm1bP59P5Pd27fytRYt4c8zkQP8y9jqVKqFijUgqSU+HnXbyt1NPBeB/Tz3FngUFZMyaRYfXXqPDb28UuVt98phGP5ZtuhV59ZqRb5mstyzyyWQdWawjk3X5Waxbn8na5VmsdZmsLcxibWEmqwuyWFOYyer8LNYUZJKXn8Xq/EwWF2SxPrh/7M/t+YpxXEJ6MF9Mxro8Drx3II0y9mWTemtpVzifFmsWkhk1h4Ezg8228MWY9n1ZYEa7vn3//SJgrVqVf2az0uauEBGpiObN/eD+/ff3f+fl8em999Jl1Sq2mDSJLT6aUuQu2eTx+J/9+HPVVqzIbMo6MlnvfM78N+e6TNYUZrG2IJPVhVmsyc/0+ZkslpHJX3Hy7Xoyi83FO/AlN3AR9YJcnLYmjy4XDWAFe9HVVtHB5tOscOOhSvn1GlDYtj0ZHTvwa53OZEcmL2jfHtq1o079+uV/vZSLRaSa1K8P/fv7W79+n7HHHn344INIz5sc9ls4heeD4T+ryGbo6inMyN0495S1KF7+dQPZfOzLdB3jT15GrM/M5u6BU3jz1hwWnO0LMsuXF21XpADTtu2f9Oy5xUYFmebNKzinTGVGAEi5qVgjkuLWtmzpx7AefniJ15g1HI1XLaJxt639EKF162B9XvBz/YafBTF/R35WUhbrGZw/GTbrCDvvDO3336hnjLVtu9F1yhfMmEG7qri0annmrhARqYjsbJbtsovPxffdV+xmaTg2K1zEZt07RuXXFRvybJzc66L+NueKfeyyyiSfvjYDdumC7Tp8ozxM+/ZkbLrpv98Afpwxg9ZVdYlr5WIRqQH16vlUHElda9fm8MO9U2h/1TH878QHGdkhhxFr/AilNWs23KL/jl23cqWffibeujVrSp4aB3Low5R/54tZRTZD10/hkzdz/u0F07v3hh4xkYJMs2YbijEzZvxAnz5bVNtrJtVHxRoR2eDBB4t2NY+ozJlM5/zY2nhFnNifw4bBH38U/1jr1sEzz5Q/hsrQWQQRqSlVnIc3OnFaUFBiYWejnwceWGwuNudg8T9w773la1tlKReLSA2rUwd2OCMHzlhA/2p6jvz8+IWcDX/n8NWHU9jx5mNYdM2DPD8ih8aNdbWlVKBijYhsENvVPKKyXc7N/Kz3mZlR10ksxhNPlPxFRZNJikgyq648DH4obL16/lYa5WIRkRqRkeEvLNigQQkb9c2BixbQscaikkRQzgkcRCTpRb4oRIoqNT03QOzzR2iOAhFJFWHn4XgxRCgXi4iI1AgVa0SkqMhBetu24RyUJ8IXFRGRMIWdh6NjUC4WERGpcSrWiEh8kbkBwjooT4QvKiIiYQo7D0diUC4WERGpcZqzRkQSlyaTFBEJn3KxiIhIjVPPGhERERERERGRBKJijYiIiIiIiIhIAlGxRkREREREREQkgahYIyIiIiIiIiKSQFSsERERERERERFJIOacCzuGpGFmfwELy3m3TYG/qyGcsCVju5KxTaB21TYVaVdb51zz6ggm0VQwD0Nyvl+SsU2gdtUmydgmqHi7lItLpvdL7ZGMbQK1q7ZJ+mNiFWtCZmYfO+d2DTuOqpaM7UrGNoHaVdska7vCloyvazK2CdSu2iQZ2wTJ266wJevrmoztSsY2gdpV2yRru6JpGJSIiIiIiIiISAJRsUZEREREREREJIGoWBO+e8MOoJokY7uSsU2gdtU2ydqusCXj65qMbQK1qzZJxjZB8rYrbMn6uiZju5KxTaB21TbJ2q5/ac4aEREREREREZEEop41IiIiIiIiIiIJRMWaamBmrc3sWTNbZmbLzex5M2tTxvvWNbPxZvabma02s/+ZWe/qjrksKtouM9vVzO41s+/MLM/MfjKzx8ysfU3EXZrK/L9iHudiM3NmNqs64ixnLJVqk5l1NrNnzOzv4H34vZmdVZ0xlzGuyny22pjZQ8H7L8/M5pjZNWZWv7rjLkNsW5rZf4LPe17wPmpXxvsmbM4Im3JxkfslbC5OxjwMysXF3Dchc7HycPVQHi5yv4TNw5CcuVh5OO59EzIPB7EpF0dRsaaKmVk2MA3oBBwNjAQ6AtPL+AH4L3ACMAYYCvwGvG5mu1RLwGVUyXYdCmwP3A7sC1wEdAU+NrPW1RZ0GVTB/yvyOFsBlwJ/Vkec5VHZNpnZrsAHQB3geGAwcBOQXl0xl0Vl2hWsfxPoDVwODAHuB84DHqjGsMtqa+BgYAnwTjnvm5A5I2zKxXElZC5OxjwMysXF3DeRc7HycBVTHo4rIfMwJGcuVh6Oe99EzsOgXLwx55xuVXgDzgIKgK2jlrUH8oFzS7nvzoADjolalgF8D0yuxe1qHmdZW6AQuKq2tivmcV4H7gFmALNqa5vwBdyvgRfCbEM1tGtA8NkaELP8+uD+2SG3LS3q9+ODWNuV4X4JmzPCvikXx71vQubiZMzDVfC/Ui6u+XYpDyfWeyVhX9dkzMOVbVfM4yRMLlYejnvfhM3Dkdc96veUz8XqWVP1hgHvO+fmRhY45+YD7wL7l+G+64Gnou6bDzwJDDSzOlUfbplVuF3Oub/iLFsI/AVsUcVxlldl/l8AmNnh+LMiF1dLhOVXmTb1AbYDbq626CquMu3KCn4uj1m+FL8ztiqKsUKcc4UVvGsi54ywKRfHSOBcnIx5GJSL40nYXKw8XC2Uh2MkcB6G5MzFysNFJWweBuXiWCrWVL3tga/iLP8a/4Ev7b7znXN5ce6bhe8WFpbKtKsIM+sMtAC+rWRclVWpdplZE+AW4ALn3OIqjq2iKtOmXsHPumb2vpmtN7M/zex2M6tXpVGWX2Xa9SbwA3CDmW1nZg3MrC/+zMTdzrlVVRtqjUnknBE25eIySJBcnIx5GJSL40nGXJzI+SJsysNlkCB5GJIzFysPF5WMeRgSO2dUmIo1Va8pfoxdrMVAk0rcN7I+LJVp10bMLAO4G38W4b+VD61SKtuu8cAcYGIVxlRZlWlTq+DnU8AbwD7AjfhuiI9XVYAVVOF2OefW4He6kS6tK4C3gCnA6VUbZo1K5JwRNuXiUiRQLk7GPAzKxUUkaS5O5HwRNuXhUiRQHobkzMXKwzGSNA9DYueMCssIO4Ak5eIsK0uXMqvEfWtCVcV2B9ADGOKci/ehqmkVapeZ7QUcBXR1wcDIBFLR/1WkgPuoc25M8PsMM0sHrjez7Zxz31RJhBVT0f9VXfzOtgV+ErafgN3xE5DlA6dUYYw1KdFzRtiUi0uWSLk4GfMwKBdvvEFy5uJEzxdhUx4uWSLlYUjOXKw8HL1BcuZhSPycUSEq1lS9JcSv3DUhfrUv2mIg3iXXmkStD0tl2vUvMxsHnAgc7Zx7o4piq4zKtOse/FmQX8yscbAsA0gP/l7tnFtbRXGWR2Xa9E/wc2rM8jfwE4/tAoS1Y6pMu47Djz3e2jn3Y7DsbTNbBtxrZnc75z6vskhrTiLnjLApF5cgwXJxMuZhUC6OJxlzcSLni7ApD5cgwfIwJGcuVh4uKhnzMCR2zqgwDYOqel/jx8zF2o7SP9BfA+2Dy7HF3ncdMLfoXWpMZdoFgJldir9E4VnOuUeqMLbKqEy7OgMn45Ni5NYT6B78HlZlurLvQShamY5UpSs66VdVqEy7dgSWRO2UIj4MfnauZGxhSeScETbl4mIkYC5OxjwMysXxJGMuTuR8ETbl4WIkYB6G5MzFysNFJWMehsTOGRWmYk3Vmwx0N7OtIgvMrB0+YU0uw30zgRFR980ADgHeCPHsIFSuXZjZmcA1wKXOuf9UV5AVUJl25cS5fY6f8CsHeLYa4i2LyrTpVWAtMChm+cDg58dVFGNFVKZdvwNNzCx2crE9gp+/VlWQNSyRc0bYlIvjSNBcnIx5GJSL40nGXJzI+SJsysNxJGgehuTMxcrDRSVjHobEzhkVV57rfOtW+g2oj6/cfYm/dNowfLKaBzSI2q7t/7d3xyhSBGEYht8VDAy9wcZ7CQU9goGZiYmpYKpiYCSmpoYiCGamG5gInmAz8QgGLiYaVAuy7Gqwg109PA9UMM1MU/90zdfD3/RM477Ax2de/6bRgb5f3WqE22njHtBN1lXdbXSfPzQ67H+Oo63WdcH+jquPW66perJsf17dblz5+V693mpd1WHjLwpPqnuNLw6Plm2fqytr1rbM8c4yXjWu4jxYHt/4x/GaMjPWHrJ4O1m8jzm8ozUoi/9/bXJ4krUy8/u6jzm8i+N1zv5Wz2I5vL0cXuYoi3/XtPYE9nE07pd7tyz6b9X76vDMcw6Xxff0zPZr1ctG1/O0+lTdXLumy9TV+FX4nxeM463WdcG+Vj8x7WANHlQPl5PAj+pL9ay6uvG6jqq31dfGifakelFdX7uuZX5//YxsMTPWHrJ4O1m8jzm8gzUoi/9/XXJ4rrUy7fu6jzl82eN1zr6myGI5vK0cXuYni5dxsBQGAAAAwAT8Zg0AAADARDRrAAAAACaiWQMAAAAwEc0aAAAAgIlo1gAAAABMRLMGAAAAYCKaNQAAAAAT0awBAAAAmIhmDQAAAMBEfgGGYe3SHn9YkQAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 8 \n",
"tt=linspace(t0,tfinal,N+1)\n",
"\n",
"yy = [sol_exacte(t) for t in tt]\n",
"uu_ep = EE(phi, tt, y0)\n",
"uu_er = EI(phi, tt, y0)\n",
"uu_em = EM(phi, tt, y0)\n",
"uu_rk1m = RK1_M(phi, tt, y0)\n",
"uu_cn = CN(phi, tt, y0)\n",
"uu_heun = heun(phi, tt, y0)\n",
"\n",
"figure(1, figsize=(18, 10))\n",
"\n",
"subplot(2, 3, 1)\n",
"plot(tt, yy, 'b-', tt, uu_ep, 'r-D')\n",
"# err_ep = max( [abs(uu_ep[i] - yy[i]) for i in range(N)] )\n",
"err_ep = norm(array(uu_ep)-array(yy),inf)\n",
"title(f'Euler explicite - max(|erreur|)= {err_ep:1.10f}')\n",
"grid()\n",
"\n",
"subplot(2, 3, 2)\n",
"plot(tt, yy, 'b-', tt, uu_er, 'r-D')\n",
"# err_er = max( [abs(uu_er[i] - yy[i]) for i in range(N)] )\n",
"err_er = norm(array(uu_er)-array(yy),inf)\n",
"title(f'Euler implicite - max(|erreur|)={err_er:1.2f}')\n",
"grid();\n",
"\n",
"\n",
"subplot(2, 3, 3)\n",
"plot(tt, yy, 'b-', tt, uu_em, 'r-D')\n",
"# err_em = max( [abs(uu_em[i] - yy[i]) for i in range(N)] )\n",
"err_em = norm(array(uu_em)-array(yy),inf)\n",
"title(f'Euler modifié - max(|erreur|)={err_em:1.5f}')\n",
"grid()\n",
"\n",
"subplot(2, 3, 4)\n",
"plot(tt, yy, 'b-', tt, uu_rk1m, 'r-D')\n",
"# err_rk1m = max( [abs(uu_rk1m[i] - yy[i]) for i in range(N)] )\n",
"err_rk1m = norm(array(uu_rk1m)-array(yy),inf)\n",
"title(f'RK1_m - max(|erreur|)={err_rk1m:1.5f}')\n",
"grid()\n",
"\n",
"subplot(2, 3, 5)\n",
"plot(tt, yy, 'b-', tt, uu_cn, 'r-D')\n",
"# err_cn = max( [abs(uu_cn[i] - yy[i]) for i in range(N)] )\n",
"err_cn = norm(array(uu_cn)-array(yy),inf)\n",
"title(f'Crank Nicolson - max(|erreur|)={err_cn:1.5f}')\n",
"grid()\n",
"\n",
"subplot(2, 3, 6)\n",
"plot(tt, yy, 'b-', tt, uu_heun, 'r-D')\n",
"# err_heun = max( [abs(uu_heun[i] - yy[i]) for i in range(N)] )\n",
"err_heun = norm(array(uu_heun)-array(yy),inf)\n",
"title(f'Heun - max(|erreur|)={err_heun:1.5f}')\n",
"grid();"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Euler progressif : ordre = 1.05\n",
"Euler regressif : ordre = 0.96\n",
"Euler modifié : ordre = 2.08\n",
"RK1_M : ordre = 2.00\n",
"Cranck Nicolson : ordre = 2.01\n",
"Heun : ordre = 2.08\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"H = []\n",
"err_ee = []\n",
"err_ei = []\n",
"err_em = []\n",
"err_rk1m = []\n",
"err_cn = []\n",
"err_heun = []\n",
"\n",
"for k in range(7):\n",
" N = 2**(k + 3)\n",
" tt = linspace(t0, tfinal, N + 1)\n",
" h = tt[1] - tt[0]\n",
" yy = [sol_exacte(t) for t in tt]\n",
" uu_ee = EE(phi, tt, y0)\n",
" uu_ei = EI(phi, tt, y0)\n",
" uu_em = EM(phi, tt, y0)\n",
" uu_rk1m = RK1_M(phi, tt, y0)\n",
" uu_cn = CN(phi, tt, y0)\n",
" uu_heun = heun(phi, tt, y0)\n",
" H.append(h)\n",
" err_ee.append(max([abs(uu_ee[i] - yy[i]) for i in range(len(yy))]))\n",
" err_ei.append(max([abs(uu_ei[i] - yy[i]) for i in range(len(yy))]))\n",
" err_em.append(max([abs(uu_em[i] - yy[i]) for i in range(len(yy))]))\n",
" err_rk1m.append(max([abs(uu_rk1m[i] - yy[i]) for i in range(len(yy))]))\n",
" err_cn.append(max([abs(uu_cn[i] - yy[i]) for i in range(len(yy))]))\n",
" err_heun.append(max([abs(uu_heun[i] - yy[i]) for i in range(len(yy))]))\n",
"\n",
"figure(figsize=(10,7))\n",
"loglog(H, err_ee, 'r-o', label='Euler Explicite')\n",
"loglog(H, err_ei, 'g-+', label='Euler Implicite')\n",
"loglog(H, err_em, 'm-x', label='Euler Modife')\n",
"loglog(H, err_rk1m, 'b-^', label='RK1_m')\n",
"loglog(H, err_cn, 'y-d', label='Crank Nicolson')\n",
"loglog(H, err_heun, 'c-v', label='Heun')\n",
"xlabel('$\\ln(h)$')\n",
"ylabel('$\\ln(e)$')\n",
"legend(bbox_to_anchor=(1.04, 1), loc='upper left')\n",
"grid(True);\n",
"\n",
"order_ee = polyfit(log(H),log(err_ee), 1)[0]\n",
"print (f'Euler progressif : ordre = {order_ee:1.2f}')\n",
"order_ei = polyfit(log(H),log(err_ei), 1)[0]\n",
"print (f'Euler regressif : ordre = {order_ei:1.2f}')\n",
"order_em = polyfit(log(H),log(err_em), 1)[0]\n",
"print (f'Euler modifié : ordre = {order_em:1.2f}')\n",
"order_rk1m = polyfit(log(H),log(err_rk1m), 1)[0]\n",
"print (f'RK1_M : ordre = {order_rk1m:1.2f}')\n",
"order_cn = polyfit(log(H),log(err_cn), 1)[0]\n",
"print (f'Cranck Nicolson : ordre = {order_cn:1.2f}')\n",
"order_heun = polyfit(log(H),log(err_heun), 1)[0]\n",
"print (f'Heun : ordre = {order_heun:1.2f}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice : Fonction intégrale\n",
"\n",
"Il existe des fonctions définies par des intégrales qu'on ne peut pas calculer explicitement.\n",
"Il est pourtant possible de calculer des valeurs approchées de ces fonctions. \n",
"\n",
">Pour $x\\in\\left[0;\\frac{\\pi}{2}\\right]$ calculer et afficher la table des valeurs et tracer le graphe de la fonction\n",
"$$\n",
"x \\mapsto f(x)=\\int_0^x \\sqrt{1-\\frac{1}{4}\\sin^2(t)}\\mathrm{d}t \n",
"$$\n",
"en approchant numériquement un problème de Cauchy (lequel?) avec la méthode d'**Euler explicite**. \n",
">\n",
">Vérifier que $f\\left(\\frac{\\pi}{6}\\right)\\simeq0.51788193$ et $f\\left(\\frac{\\pi}{2}\\right)\\simeq1.46746221$.\n",
">\n",
"> Rappel sur la dérivée d'une fonction définie par une intégrale: \n",
"> si $F(x)=\\displaystyle\\int_{u(x)}^{v(x)}g(x,t)\\mathrm{d}t$ alors $F'(x)=\\displaystyle g\\left(x,v(x)\\right)v'(x)-g\\left(x,u(x)\\right)u'(x)+ \\int_{u(x)}^{v(x)} \\frac{\\partial}{\\partial x} g(x,t)\\mathrm{d}t$.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La fonction $f$ est solution du problème de Cauchy\n",
"$$\n",
"\\begin{cases}\n",
"y'(t)= \\sqrt{1-\\frac{1}{4}\\sin^2(t)},\\\\\n",
"y(0)=0.\n",
"\\end{cases}\n",
"$$\n",
"En effet, $f(0)=0$ et si on intègre l'EDO entre $0$ et $x$ on a \n",
"$$\n",
"f(x)=\\int_0^x \\sqrt{1-\\frac{1}{4}\\sin^2(t)}\\mathrm{d}t=\\int_0^x y'(t)\\mathrm{d}t=y(x)-y(0)=y(x).\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dans le code ci-dessous:\n",
"1. On définit l'équation différentielle : `phi` est une *lambda function* qui contient la fonction mathématique $\\varphi(t, y)$ dépendant des variables $t$ et $y$ (même si $y$ n'apparaît pas explicitement).\n",
"1. On définit la condition initiale $t_0=0$ et $y_0=0$.\n",
"1. On introduit la discrétisation: les nœuds d'intégration $[t_0,t_1,\\dots,t_{N}]$ sont contenus dans le vecteur `tt`. \n",
"\n",
"Comme nous devons éstimer ensuite $f$ en $\\frac{\\pi}{6}$ et $\\frac{\\pi}{2}$, faisons en sort davoir ces deux valeurs dans nos noeuds de discrétisation. \n",
"Étant donné que \n",
"- $t_0=0$, \n",
"- $t_N=\\frac{\\pi}{2}$ et \n",
"- $t_i=t_0+ih$ avec $h=\\frac{t_N-t_0}{N}=\\frac{\\pi}{2N}$, \n",
" \n",
"on a $\\frac{\\pi}{6}=i\\frac{\\pi}{2N}$ ssi $i=\\frac{2N}{6}=\\frac{N}{3}$ et bien sûr $\\frac{\\pi}{2}=t_{N}$. Pour que $i\\in\\mathbb{N}$ on choisira $N$ multiple de $3$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On calcule enfin la solution approchée et on vérifie que $f(\\pi/6)\\simeq0.51788193$ et $f(\\pi/2)\\simeq1.46746221$ et on affiche le graphe de la fonction approchée."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"f(pi/6.0)=0.5179648116355586\n",
"f(pi/2.0)=1.4678129540121247\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%reset -f\n",
"%matplotlib inline\n",
"\n",
"from matplotlib.pylab import *\n",
"rcParams.update({'font.size': 16}) # rcParams.update(rcParamsDefault)\n",
"\n",
"# schéma\n",
"def EE(phi, tt, y0):\n",
" h = tt[1] - tt[0]\n",
" uu = [y0]\n",
" for i in range(len(tt) - 1):\n",
" uu.append(uu[i] + h * phi(tt[i], uu[i]))\n",
" return uu\n",
"\n",
"# EDO\n",
"phi = lambda t,y : sqrt(1-0.25*(sin(t))**2)\n",
"\n",
"# CI\n",
"t0, y0 = 0, 0\n",
"\n",
"# DISCRETISATION\n",
"tfinal = pi/2\n",
"k = 100\n",
"N = 3*k # ainsi t_N=pi/2=3pi/6 et t_k=pi/6\n",
"tt=linspace(t0,tfinal,N+1)\n",
"\n",
"# CALCUL DE LA SOLUTION APPROCHÉE\n",
"uu = EE(phi,tt, y0)\n",
"\n",
"print(f\"f(pi/{pi//tt[k]})={uu[k]}\") \n",
"print(f\"f(pi/{pi//tt[-1]})={uu[-1]}\") \n",
"\n",
"# AFFICHAGE, NON DEMANDÉ\n",
"plot(tt,uu)\n",
"plot([tt[0],tt[k],tt[k]],[uu[k],uu[k],0],'m--');\n",
"plot([tt[0],tt[-1],tt[-1]],[uu[-1],uu[-1],0],'c--');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Et `sympy` ? "
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle \\frac{d}{d t} y{\\left(t \\right)} = \\sqrt{1 - \\frac{\\sin^{2}{\\left(t \\right)}}{4}}$"
],
"text/plain": [
" _____________\n",
" ╱ 2 \n",
"d ╱ sin (t) \n",
"──(y(t)) = ╱ 1 - ─────── \n",
"dt ╲╱ 4 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle \\int \\sqrt{1 - \\frac{\\sin^{2}{\\left(t \\right)}}{4}}\\, dt$"
],
"text/plain": [
"⌠ \n",
"⎮ _____________ \n",
"⎮ ╱ 2 \n",
"⎮ ╱ sin (t) \n",
"⎮ ╱ 1 - ─────── dt\n",
"⎮ ╲╱ 4 \n",
"⌡ "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle E\\left(t\\middle| \\frac{1}{4}\\right)$"
],
"text/plain": [
"E(t│1/4)"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%reset -f\n",
"%matplotlib inline\n",
"\n",
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"t = sym.Symbol('t')\n",
"y = sym.Function('y')\n",
"edo = sym.Eq( sym.diff(y(t),t) , sym.sqrt(1-sym.Rational(1,4)*(sym.sin(t))**2) )\n",
"display(edo)\n",
"# solgen = sym.dsolve(edo)\n",
"# display(solgen)\n",
"\n",
"t = sym.Symbol('t')\n",
"f = sym.Integral(sym.sqrt(1-sym.Rational(1,4)*(sym.sin(t))**2))\n",
"display(f)\n",
"f.doit()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice : Système de deux EDO avec invariant\n",
"\n",
">Considérons le problème de Cauchy\n",
"$$\n",
"\\begin{cases}\n",
"x'(t)= -y(t) ,\\\\\n",
"y'(t)= x(t), & t\\in[0;4\\pi]\\\\\n",
"x(0)=1,\\\\\n",
"y(0)=0.\n",
"\\end{cases}\n",
"$$\n",
">1. **Invariant** \n",
"Vérifier que $I(t)=x^2(t) + y^2(t)$ est un invariant pour le système. \n",
">1. **Approximations** \n",
"Dans une simulation numérique on aimerait que l'invariant soit préservé aussi bien que possible. Nous allons regarder ce qui se passe avec certaines méthodes vues en cours. \n",
"On notera $u_n\\approx x_n=x(t_n)$ et $w_n\\approx y_n=y(t_n)$. \n",
"À chaque instant $t_n$, on calculera $J_n\\approx I_n=I(t_n)$. \n",
"Choisissons $N=193$ points de discrétisation ainsi $h=t_{n+1}-t_n=\\pi/48$.\n",
" 1. Dans un premier temps on se propose d'appliquer la méthode d'**Euler explicite** à la résolution du système. \n",
" 1. Tracer $(t_n,u_n)$ et $(t_n,w_n)$ sur un même graphique; \n",
" 2. sur un autre graphique tracer $(t_n,J_n)$; \n",
" 3. tracer enfin $(u_n,w_n)$ sur un autre graphique et vérifier que la solution numérique tourne vers l’extérieur \n",
" 4. Après avoir constaté que l'invariant $J_n$ n'est pas conservé mais augment au cours du temps, montrer analytiquement que $J_n=(1+h^2)^n$. \n",
" 1. Même exercice pour le schéma d'**Euler implicite** (la linéarité du second membre permet de rendre ce schéma explicite). Que peut-on constater? Commenter les résultats et écrire l'expression analytique de $J_n$. \n",
" 1. Même exercice pour le schéma de **Crank Nicolson** (la linéarité du second membre permet de rendre ce schéma explicite). Que peut-on constater? Commenter les résultats et écrire l'expression analytique de $J_n$. \n",
" 1. Même exercice avec la fonction ``odeint`` du module ``scipy.optimize``.\n",
">1. **Solution exacte** \n",
"Dans ce cas il est même possible de calculer analytiquement la solution exacte. Calculer donc la solution exacte avec le module `sympy`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Invariant**\n",
"\n",
"Pour tout $t$ on a\n",
"$$\n",
"I'(t)=\\left(x^2(t) + y^2(t)\\right)' = 2x'(t)x(t)+2y'(t)y(t)=-2x(t)y(t)+2x(t)y(t)=0\n",
"$$\n",
"donc $I(t)=I(0)=0^2+1^2=1$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Approximations**\n",
"\n",
"On notera $u_n\\approx x_n=x(t_n)$ et $w_n\\approx y_n=y(t_n)$.\n",
"\n",
"À chaque instant $t_n$, on calculera $J_n=u_n^2+w_n^2\\approx I_n=I(t_n)$."
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [],
"source": [
"%reset -f\n",
"%matplotlib inline\n",
"\n",
"from matplotlib.pylab import *\n",
"rcParams.update({'font.size': 16}) # rcParams.update(rcParamsDefault)\n",
"# from scipy.optimize import fsolve # non necessaire car on resout l'equation implicite a la main\n",
"\n",
"t0 = 0\n",
"tfinal = 4*pi\n",
"\n",
"#h = pi/48\n",
"N = 192 #*100\n",
"tt = linspace(0,tfinal,N+1) #arange(t0,tfinal+h/2,h)\n",
"\n",
"x0 = 1\n",
"y0 = 0\n",
"\n",
"phi1 = lambda t,x,y : -y\n",
"phi2 = lambda t,x,y : x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Euler explicite**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=1,\\\\\n",
"w_0=0,\\\\\n",
"u_{n+1}=u_n+h\\varphi_1(t_n,u_n,w_n)=u_n-hw_n,\\\\\n",
"w_{n+1}=w_n+h\\varphi_2(t_n,u_n,w_n)=w_n+hu_n\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"def EE(phi1,phi2,tt,x0,y0):\n",
"\tuu = [x0]\n",
"\tww = [y0]\n",
"\th = tt[1]-tt[0]\n",
"\tfor i in range(len(tt)-1):\n",
"\t\tuu.append(uu[i]+h*phi1(tt[i],uu[i],ww[i]))\n",
"\t\tww.append(ww[i]+h*phi2(tt[i],uu[i],ww[i]))\n",
"\treturn [uu,ww]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On a\n",
"$$\n",
"J_{n+1}\n",
"=u_{n+1}^2+w_{n+1}^2\n",
"=(u_n-hw_n)^2+(w_n+hu_n)^2\n",
"=(1+h^2)(u_n^2+w_n^2)\n",
"=(1+h^2)J_n\n",
"$$\n",
"soit encore\n",
"$$\n",
"J_n=(1+h^2)^nJ_0=(1+h^2)^n.\n",
"$$\n",
"On voit que \n",
"- l'invariant n'est conservé que si $h=0$, ce qui est impossible,\n",
"- pour $h$ fixé, $\\lim\\limits_{n\\to+\\infty}J_n=+\\infty$,\n",
"- pour $n$ fixé, l'erreur $|J_n-I_n|$ diminue comme $h^2$."
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"[uu_ep, ww_ep] = EE(phi1,phi2,tt,x0,y0)\n",
"JJ_ep = [(uu_ep[i])**2+(ww_ep[i])**2 for i in range(len(tt))]\n",
"\n",
"\n",
"figure(figsize=(24,7))\n",
"\n",
"subplot(1,3,1)\n",
"plot(tt,uu_ep,tt,ww_ep)\n",
"grid()\n",
"xlabel('t')\n",
"legend(['x(t)','y(t)'])\n",
"title('Euler progressif - x(t) et y(t)') \n",
"\n",
"subplot(1,3,2)\n",
"plot(tt,JJ_ep)\n",
"grid()\n",
"xlabel('t')\n",
"title('Euler progressif - Invariant')\n",
"\n",
"subplot(1,3,3)\n",
"Y1,Y2 = meshgrid(linspace(min(uu_ep),max(uu_ep),21),linspace(min(ww_ep),max(ww_ep),21))\n",
"V1,V2 = phi1(tt,Y1,Y2),phi2(tt,Y1,Y2)\n",
"r=sqrt(V1**2+V2**2)\n",
"quiver(Y1, Y2, V1/r, V2/r) \n",
"plot(uu_ep,ww_ep,'r')\n",
"xlabel('x(t)')\n",
"ylabel('y(t)')\n",
"title('Euler progressif - y(x)'); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Euler implicite**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=1,\\\\\n",
"w_0=0,\\\\\n",
"u_{n+1}=u_n+h\\varphi_1(t_{n+1},u_{n+1},w_{n+1})=u_n-hw_{n+1},\\\\\n",
"w_{n+1}=w_n+h\\varphi_2(t_{n+1},u_{n+1},w_{n+1})=w_n+hu_{n+1}\n",
"\\end{cases}\n",
"$$\n",
"En resolvant le système linéaire on obtient une écriture explicite\n",
"$$\n",
"\\begin{cases}\n",
"u_0=1,\\\\\n",
"w_0=0,\\\\\n",
"u_{n+1}=\\dfrac{u_n-hw_{n}}{1+h^2},\\\\\n",
"w_{n+1}=\\dfrac{w_n+hu_{n}}{1+h^2}.\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"# Notons que ici il est inutile de passer phi1,phi2 car non utilisées explicitement dans le code\n",
"def EI(phi1,phi2,tt,x0,y0):\n",
"\tuu = [x0]\n",
"\tww = [y0]\n",
"\th = tt[1]-tt[0]\n",
"\tfor i in range(len(tt)-1):\n",
"\t\tuu.append((uu[i]-h*ww[i])/(1+h**2))\n",
"\t\tww.append((ww[i]+h*uu[i])/(1+h**2))\n",
"\treturn [uu,ww]"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"# VERSION AVEC fsolve (non demandé)\n",
"from scipy.optimize import fsolve\n",
"\n",
"def EI(phi1,phi2,tt,x0,y0):\n",
"\tuu = [x0]\n",
"\tww = [y0]\n",
"\th = tt[1]-tt[0]\n",
"\tfor i in range(len(tt)-1):\n",
"\t\tsys = lambda z : [ -z[0]+uu[i]+h*phi1(tt[i+1],z[0],z[1]) , -z[1]+ww[i]+h*phi2(tt[i+1],z[0],z[1]) ]\n",
"\t\tutemp,wtemp = fsolve( sys , (uu[i],ww[i]) ) \n",
"\t\tuu.append(utemp)\n",
"\t\tww.append(wtemp)\n",
"\treturn [uu,ww]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On a\n",
"$$\n",
"J_{n+1}\n",
"=u_{n+1}^2+w_{n+1}^2\n",
"=\\frac{(u_n-hw_n)^2+(w_n+hu_n)^2}{(1+h^2)^2}\n",
"=(u_n^2+w_n^2)\\frac{1+h^2}{(1+h^2)^2}\n",
"=\\frac{1+h^2}{(1+h^2)^2}J_n\n",
"=\\frac{1}{1+h^2}J_n\n",
"$$\n",
"soit encore\n",
"$$\n",
"J_n=\\left(\\frac{1}{1+h^2}\\right)^nJ_0=\\left(\\frac{1}{1+h^2}\\right)^n.\n",
"$$\n",
"On voit que \n",
"- l'invariant n'est conservé que si $h=0$, ce qui est impossible,\n",
"- pour $h$ fixé, $\\lim\\limits_{n\\to+\\infty}J_n=0^+$,\n",
"- pour $n$ fixé, l'erreur $|J_n-I_n|$ diminue comme $h^2$."
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"[uu_er, ww_er] = EI(phi1,phi2,tt,x0,y0)\n",
"JJ_er = [(uu_er[i])**2+(ww_er[i])**2 for i in range(len(tt))]\n",
"\n",
"figure(figsize=(24,7))\n",
"\n",
"subplot(1,3,1)\n",
"plot(tt,uu_er,tt,ww_er)\n",
"grid()\n",
"xlabel('t')\n",
"legend(['x(t)','y(t)'])\n",
"title('Euler regressif - x(t) et y(t)') \n",
"\n",
"subplot(1,3,2)\n",
"plot(tt,JJ_er)\n",
"grid()\n",
"xlabel('t')\n",
"title('Euler regressif - Invariant')\n",
"\n",
"subplot(1,3,3)\n",
"Y1,Y2 = meshgrid(linspace(min(uu_er),max(uu_er),21),linspace(min(ww_er),max(ww_er),21))\n",
"V1,V2 = phi1(tt,Y1,Y2),phi2(tt,Y1,Y2)\n",
"r = sqrt(V1**2+V2**2)\n",
"quiver(Y1, Y2, V1/r, V2/r) \n",
"# streamplot(Y1, Y2, V1/r, V2/r) \n",
"plot(uu_er,ww_er)\n",
"xlabel('x(t)')\n",
"ylabel('y(t)')\n",
"title('Euler regressif - y(x)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Crank Nicolson**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=1,\\\\\n",
"w_0=0,\\\\\n",
"u_{n+1}=u_n+\\frac{h}{2}\\Big(\\varphi_1(t_{n},u_{n},w_{n})+\\varphi_1(t_{n+1},u_{n+1},w_{n+1})\\big)=u_n-\\frac{h}{2}w_{n}-\\frac{h}{2}w_{n+1},\\\\\n",
"w_{n+1}=w_n+\\frac{h}{2}\\Big(\\varphi_2(t_{n},u_{n},w_{n})+\\varphi_2(t_{n+1},u_{n+1},w_{n+1})\\big)=w_n+\\frac{h}{2}u_{n}+\\frac{h}{2}u_{n+1}.\n",
"\\end{cases}\n",
"$$\n",
"En resolvant le système linéaire on obtient une écriture explicite:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\begin{cases}\n",
"u_0=1,\\\\\n",
"w_0=0,\\\\\n",
"u_{n+1}=\\dfrac{(4-h^2)u_n-4hw_{n}}{4+h^2},\\\\\n",
"w_{n+1}=\\dfrac{(4-h^2)w_n+4hu_{n}}{4+h^2}.\n",
"\\end{cases}\n",
"$$\n",
"De plus, on a\n",
"\\begin{align*}\n",
"J_{n+1}\n",
"&=u_{n+1}^2+w_{n+1}^2\n",
"\\\\\n",
"&=\\frac{((4-h^2)u_n-4hw_n)^2+((4-h^2)w_n+4hu_n)^2}{(4+h^2)^2}\n",
"\\\\\n",
"&=\\frac{(4-h^2)^2u_n^2+16h^2w_n^2-8(4-h^2)hu_nw_n+(4-h^2)^2w_n^2+16h^2u_n^2+8(4-h^2)hu_nw_n}{(4+h^2)^2}\n",
"\\\\\n",
"&=\\frac{\\big((4-h^2)^2+16h^2\\big)(u_n^2+w_n^2)}{(4+h^2)^2}\n",
"\\\\\n",
"&=\\frac{(4+h^2)^2(u_n^2+w_n^2)}{(4+h^2)^2}\n",
"\\\\\n",
"&=(u_n^2+w_n^2)=J_n\n",
"\\end{align*}\n",
"\n",
"\n",
"On voit que l'invariant est conservé pour tout $h$\n",
"\n",
"Vérifions ces calculs avec `sympy`:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle \\left\\{ u_{n+1} : \\frac{- h^{2} u_{n} - 4 h w_{n} + 4 u_{n}}{h^{2} + 4}, \\ w_{n+1} : \\frac{- h^{2} w_{n} + 4 h u_{n} + 4 w_{n}}{h^{2} + 4}\\right\\}$"
],
"text/plain": [
"⎧ 2 2 ⎫\n",
"⎪ - h ⋅uₙ - 4⋅h⋅wₙ + 4⋅uₙ - h ⋅wₙ + 4⋅h⋅uₙ + 4⋅wₙ⎪\n",
"⎨u_{n+1}: ───────────────────────, w_{n+1}: ───────────────────────⎬\n",
"⎪ 2 2 ⎪\n",
"⎩ h + 4 h + 4 ⎭"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/latex": [
"$\\displaystyle u_{n}^{2} + w_{n}^{2}$"
],
"text/plain": [
" 2 2\n",
"uₙ + wₙ "
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"dt = sym.Symbol('h') # pour ne pas redefinir h comme un symbole, on écrit dt mais on affiche h\n",
"u_n = sym.Symbol('u_n')\n",
"u_np1 = sym.Symbol('u_{n+1}')\n",
"w_n = sym.Symbol('w_n')\n",
"w_np1 = sym.Symbol('w_{n+1}')\n",
"# sym.var('u_n, u_np1, w_n, w_np1, dt')\n",
"\n",
"eq1 = sym.Eq( u_np1 , u_n-dt/2*w_n-dt/2*w_np1 )\n",
"eq2 = sym.Eq( w_np1 , w_n+dt/2*u_n+dt/2*u_np1 )\n",
"sol = sym.solve([eq1,eq2],[u_np1,w_np1],dict=True)[0]\n",
"display(sol)\n",
"\n",
"J_np1 = u_np1**2+w_np1**2\n",
"J_np1.subs(sol).simplify()"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [],
"source": [
"# Notons que ici il est inutile de passer phi1,phi2 car non utilisées explicitement dans le code\n",
"def cn(phi1,phi2,tt,x0,y0):\n",
"\tuu = [x0]\n",
"\tww = [y0]\n",
"\th = tt[1]-tt[0]\n",
"\tfor i in range(len(tt)-1):\n",
"\t\tuu.append(((4-h**2)*uu[i]-4*h*ww[i])/(4+h**2))\n",
"\t\tww.append(((4-h**2)*ww[i]+4*h*uu[i])/(4+h**2))\n",
"\treturn [uu,ww]"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [],
"source": [
"# VERSION AVEC fsolve (non demandé)\n",
"from scipy.optimize import fsolve\n",
"\n",
"def cn(phi1,phi2,tt,x0,y0):\n",
"\tuu = [x0]\n",
"\tww = [y0]\n",
"\th = tt[1]-tt[0]\n",
"\tfor i in range(len(tt)-1):\n",
"\t\tsys = lambda z : [ -z[0]+uu[i]+h/2*(phi1(tt[i],uu[i],ww[i])+phi1(tt[i+1],z[0],z[1])) , \n",
" -z[1]+ww[i]+h/2*(phi2(tt[i],uu[i],ww[i])+phi2(tt[i+1],z[0],z[1])) ]\n",
"\t\tutemp,wtemp = fsolve( sys , (uu[i],ww[i]) ) \n",
"\t\tuu.append(utemp)\n",
"\t\tww.append(wtemp)\n",
"\treturn [uu,ww]"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"[uu_cn, ww_cn] = cn(phi1,phi2,tt,x0,y0)\n",
"JJ_cn = [(uu_cn[i])**2+(ww_cn[i])**2 for i in range(len(tt))]\n",
"\n",
"figure(figsize=(24,7))\n",
"\n",
"subplot(1,3,1)\n",
"plot(tt,uu_cn,tt,ww_cn)\n",
"grid()\n",
"xlabel('t')\n",
"legend(['x(t)','y(t)'])\n",
"title('Crank Nicolson - x(t) et y(t)') \n",
"\n",
"subplot(1,3,2)\n",
"plot(tt,JJ_cn)\n",
"grid()\n",
"xlabel('t')\n",
"title('Crank Nicolson - Invariant')\n",
"\n",
"subplot(1,3,3)\n",
"Y1,Y2 = meshgrid(linspace(min(uu_cn),max(uu_cn),21),linspace(min(ww_cn),max(ww_cn),21))\n",
"V1,V2 = phi1(tt,Y1,Y2),phi2(tt,Y1,Y2)\n",
"r=sqrt(V1**2+V2**2)\n",
"quiver(Y1, Y2, V1/r, V2/r) \n",
"plot(uu_cn,ww_cn)\n",
"xlabel('x(t)')\n",
"ylabel('y(t)')\n",
"title('Crank Nicolson - y(x)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Avec ``odeint`` du module ``scipy.optimize``:"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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