{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#
**Modélisation statistique avancée - Contrôle**
\n", "###
20 Janvier 2025
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irene.balelli@inria.fr
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Partie I. Questions de cours** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1.** Expliquez l'idée de l'estimation de la densité avec les $k$-plus-proches voisins. Comment le choix de $k$ influence-t-elle l'estimation de la densité ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2.** Qu'est-ce qu'un régressogramme et comment est-il utilisé pour estimer une fonction de régression non paramétrique ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3.** Quels sont les avantages de la régression non paramétrique par rapport à la régression linéaire ?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $K(x):=\\frac{\\pi}{4}\\cos{\\left(\\frac{\\pi}{2}x\\right)}\\mathbb{I}_{[-1,1]}(x)$, où $\\mathbb{I}_{[-1,1]}(x)$ denote la fonction indicatrice, *i.e.* $\\mathbb{I}_{[-1,1]}(x)=1$ si $x\\in[-1,1]$, 0 sinon. \n", "\n", "**4.** $K$ est-elle bien une fonction de densité ? Démontrer.\n", "\n", "*Rappel.* $\\frac{d\\sin(x)}{dx}=\\cos(x)$; $\\frac{d\\cos(x)}{dx}=-\\sin(x)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* On observe tout d'abord que $K(x)\\geq0$ pour tout $x\\in\\mathbb R$. En effet:\n", " * $K(x)=0$ si $x\\leq-1$ ou $x\\geq1$\n", " * $K(x)>0$ si $-1" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('ggplot')\n", "\n", "def K(x):\n", " ind = 1 if ((x>=-1) and (x<=1)) else 0\n", " cos = np.cos(np.pi*x/2)\n", " return np.pi*cos*ind/4\n", "\n", "x_lin = np.linspace(-2, 2, 1000)\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "\n", "ax = fig.add_subplot(121)\n", "K_x = np.cos(x_lin)\n", "ax.plot(x_lin,K_x, label='cos(x)')\n", "ax.scatter([-np.pi/2,np.pi/2],[0,0])\n", "ax.axhline(color='k')\n", "ax.set(xlabel='x')\n", "plt.legend()\n", "\n", "ax = fig.add_subplot(122)\n", "K_x = np.array([K(x) for x in x_lin])\n", "ax.plot(x_lin,K_x, label='K(x)')\n", "ax.set(xlabel='x')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Partie II. Application** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $Y$ une variable aléatoire dépendante de la variable aléatoire $X$ de la façon suivante :\n", "\n", "$$g(x):=\\mathbb E[Y|X=x]=10^{-4}(x+40)^3\\exp{\\left(\\frac{-x+40}{20}\\right)}$$\n", "\n", "**1.** A l'aide de cette fonction moyenne, générer un dataset $\\mathcal D_{N}$ contenant $N=200$ observations $(x_i,y_i)$ pour $x_1,\\dots,x_N\\in[0,100]$ et en supposant pour chaque $y_i$ un bruit gaussien centré de variance $\\sigma^2=20$. Dans une même figure représentez la vrai fonction moyenne et les données." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def g(x):\n", " return 10**(-4)*(x+40)**3*np.exp((-x+40)/20)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 200\n", "X = np.random.uniform(0,100,N)\n", "Y = g(X) + np.random.normal(scale=np.sqrt(20),size=[N])\n", "\n", "fig, ax = plt.subplots(1, 1)\n", "\n", "x_lin = np.linspace(0,100,1000)\n", "ax.plot(x_lin, g(x_lin), 'b-', label='$g(x)$')\n", "ax.plot(X, Y, 'o', alpha=0.5, label='Data')\n", "ax.set(xlabel='$x$', ylabel='$y$')\n", "ax.legend(loc='best')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2.** Soit $K(x):=\\frac{\\pi}{4}\\cos{\\left(\\frac{\\pi}{2}x\\right)}\\mathbb{I}_{[-1,1]}(x)$. Écrire explicitement la formule qui donne la régression par noyau $K$, puis l'implémenter. Vous pouvez définir une `classe` ou utiliser des fonctions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $x\\in\\mathbb R$. L'estimation de sa valeur $y$ correspondante $\\hat g_{\\nu}^K(x)$ avec le noyau $K$ est obtenue de la manière suivante :\n", "$$\\hat g_{\\nu}^K(x)=\\frac{\\sum_{i=1}^N\\cos{\\left(\\frac{\\pi(x-x_i)}{2\\nu}\\right)}\\mathbb{I}_{[-1,1]}\\left(\\frac{x-x_i}{\\nu}\\right)y_i}{\\sum_{i=1}^N\\cos{\\left(\\frac{\\pi(x-x_i)}{2\\nu}\\right)}\\mathbb{I}_{[-1,1]}\\left(\\frac{x-x_i}{\\nu}\\right)}$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "class KRegression:\n", "\n", " def __init__(self,X,Y,bw=1):\n", " # X: independent variable (np.array)\n", " # Y: dependent variable (np.array)\n", " # bw: bins' size (float). Default to 1.\n", " \n", " self.X = X\n", " self.Y = Y\n", " self.bw = bw\n", "\n", " def eval_kernel(self,x):\n", " ind = 1 if ((x>=-1) and (x<=1)) else 0\n", " cos = np.cos(np.pi*x/2)\n", " return np.pi*cos*ind/4\n", "\n", " def fit(self,x):\n", " # x: np.array\n", " hat_g = []\n", " for i in x:\n", " num = sum([self.eval_kernel(abs((i-self.X[j])/self.bw))*self.Y[j] for j in range(len(self.X))])\n", " den = sum([self.eval_kernel(abs((i-j)/self.bw)) for j in self.X])\n", " hat_g.append(num/(den+1e-8))\n", " return np.array(hat_g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3.** Testez plusieurs valeurs de la fenêtre $\\nu$ en comparant avec la vrai fonction moyenne: laquelle vous semble plus adaptée ? Qu'est ce qu'il se passe si $\\nu$ dévient très grand ?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_reg(self,**kwargs):\n", " x_lin = np.linspace(min(self.X),max(self.X),1000)\n", " y_pred = self.fit(x_lin)\n", " return plt.plot(x_lin,y_pred, **kwargs)\n", "\n", "KRegression.plot_reg = plot_reg" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nus = [1,5,10,20,50,100]\n", "\n", "for nu in nus:\n", " kreg = KRegression(X,Y,bw=nu)\n", " fig = plt.figure()\n", " plt.plot(X, Y, 'o', alpha=0.5, label='Data')\n", " plt.plot(x_lin, g(x_lin), 'b-', label='$g(x)$')\n", " kreg.plot_reg(color='k', label='Noyau')\n", " plt.legend(loc='best')\n", " fig.suptitle('$\\\\nu$={}'.format(round(nu,2)), fontsize=16)\n", " plt.show" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous souhaitons proposer une méthode automatique pour estimer la valeur optimale de $\\nu$. Pour cela, nous souhaitons évaluer l’erreur quadratique intégrée moyenne :\n", "$$\\textrm{MISE}(\\nu)=\\int_{\\mathbb R}\\mathbb E\\left[\\left(\\hat g_{\\nu}^K(x)-g(x)\\right)^2|\\mathcal D_{N}\\right]dx$$\n", "\n", "Soit $\\mathcal D_{N,i}$ le dataset d'entrainement initial, d'où on a enlevé le $i$-eme couple, $(x_i,y_i)$. Soit $\\hat g_{\\nu,i}^K$ l'estimateur construit à partir de ce dataset incomplet. Un estimateur de $\\textrm{MISE}(\\nu)$, $\\widehat{\\textrm{MISE}}(\\nu)$ peut alors être définit comme suit :\n", "\n", "$$\\widehat{\\textrm{MISE}}(\\nu):=\\frac{1}{N}\\sum_{i=1}^N(y_i-\\hat g_{\\nu,i}^K(x_i))^2$$\n", "\n", "Un choix “optimal” de $\\nu$ est alors obtenu par minimisation de $\\widehat{\\textrm{MISE}}(\\nu)$:\n", "\n", "$$\\nu^{\\mathrm{opt}}=\\textrm{argmin}_{\\nu>0}(\\widehat{\\textrm{MISE}}(\\nu))$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**4.** Implementer une méthode iterative pour pouvoir déterminer $\\nu^{\\textrm{opt}}$ (avec une `class`ou une/plusieurs fonctions) :\n", "\n", "* Donné : dataset $\\mathcal D_N$, noyau $K$, un vecteur `V` contenant un certain nombre de valeurs possibles $\\nu$ à tester.\n", "* Initialiser $\\nu^{\\textrm{opt}}=$ `V[0]` et $\\widehat{\\textrm{MISE}}^{\\textrm{opt}}=\\widehat{\\textrm{MISE}}$(`V[0]`).\n", "* Itérer sur les valeurs $\\nu$ dans `V` pour minimiser $\\widehat{\\textrm{MISE}}$.\n", "* Resultat : $\\nu^{\\textrm{opt}}, \\widehat{\\textrm{MISE}}^{\\textrm{opt}}$\n", "\n", "Grâce à cette méthode déterminer le $\\nu$ optimale pour la régression avec le noyau $K$ donné: vous pouvez considérer l'intervalle `[5,20]` pour la recherche de $\\nu$. Montrer graphiquement l'évolution de $\\widehat{\\textrm{MISE}}(\\nu)$ pour tout $\\nu$ testé. Représenter sur une même figure les données, la vrai fonction de régression, et son estimation avec le noyau $K$ et sa fenêtre optimale." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def mise(X,Y,nu):\n", " N=len(X)\n", " sum=0.0\n", " for i in range(N):\n", " X_i = np.delete(X,i)\n", " Y_i = np.delete(Y,i)\n", " y_hat = KRegression(X_i,Y_i,bw=nu).fit(np.array([X[i]]))\n", " sum += (Y[i]-y_hat)**2\n", " return sum/N\n", "\n", "def optimal_window(X,Y,Nus=np.linspace(.1,10,100)):\n", " # X : data indep var (np.array)\n", " # Y : data dep var (np.array)\n", " # Nus : interval where nu research is performed (np.array)\n", "\n", " nu_opt = Nus[0]\n", " MISE_opt = mise(X,Y,nu_opt)\n", " MISE_list = [MISE_opt]\n", "\n", " for nu in Nus[1:]:\n", " MISE = mise(X,Y,nu)\n", " MISE_list.append(MISE)\n", " if MISE" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 5))\n", "\n", "ax = fig.add_subplot(111)\n", "ax.plot(np.linspace(5,20,100),MISE_list)\n", "ax.axvline(nu_opt,color='k',label='$\\\\nu^{opt}$')\n", "ax.set(xlabel='$\\\\nu$',ylabel='MISE')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Nvn37Suz/77//ZtCgQQ12PJLqIYOPRsD5LBvVVBX1wG7URZ+jfjcXdeWiei/xLTfQqYcA7LwHVBKJpEpCQ0OZNWsWa9euZciQISxcuJCxY8fSqlUr/P39AejcuTPdu3dn5cqVAKSnp3P77bczdOhQHnzwQQD69OnDVVddxeuvv+7cd35+PmvXruW2225r+AOTVIpcdmkkKOHRMGQUODu6pomOri3bisCjHspGtcQ41N/Xwr5/RGbB3QN8/cAtuN46w1bUtVbp01+U2rqoY29NuuNKJJLzy5gxYxgzZgwAer2e0aNHM3LkyBLbPProo8yYMYPbb78df39//vjjjzL7+frrr0v8/t1339GrV68y/iCS848MPhoR9Vk2Koy6zu1XK8hH27AKjh0ETRUiTocDsjLENq06oGVnurTE1+llkpMFAUFC31FQ4Ax0lCGjUFwQgFX1Pq4OqCQSSe3ZunUrZ8+epVu3bqSlpfHJJ58QHx/P3LlzS2w3ZMgQTpw4QWJiIpGRkdXat9FoZPr06fUxbEkdkcFHI6M+ykbLZAEMRhFk2K2AAl4+wtxLpwODD+RkwZnTENnCZRUm1fUyUYbdhDL8ploHYNIzRSJpWqSkpPDaa6+RlJREUFAQgwYN4qeffnIuuRTnnnvuqdG+5XJL40UGHxc45WYBMtIhKR6MRmGD6FmsrFVRxPJLdiY4VNd1hq2Bl4kSFFr7YKfU+2iaBnkWsNvBYAD/AFmyK5E0IkaNGsWoUaOcvxuNRmw223kckaQhkMHHBUxFWQDNYAA3d2HiZS0QF2aj8dwL9Xph9pVvcV2FSUOV0hZ7Hy07ExJPQ06mOB6dDjy9ReZHluxKJBLJeUMGHxcyFWUbDAYRYBgNIvjIyQK/wHM25g6HuFBnZ6N06FqiwqS0dqTaSyIN5WVS9D5pqZAQK47P3QMMerA7IOMsoKBlZVTm2l6GWh+3RCKRSMpQ4+AjLS2Nb775xtmoJywsjClTptC2bVtAlEUuXryY9evXY7FY6NSpE5MmTSrhtS9pICrKNpg9wcsXMtPA6CYyAdmZIijQ6cGSLR4LDC5RYVKnCpLCUlotNgatuBaDYqW0LdvW3cskIBhCI2HbH0JI6+0jlpIADDpQdKDXo504gtapR7UCCFk5I5FIJK6lRsFHTk4OL7zwAl27duW5557Dx8eHxMREPItpBpYvX86aNWt44IEHCAkJ4bvvvuOVV17h7bffxmQyufwA6pMmf7dbQbZBURS08EixHGHNh7BI0RU2KwMKcsUSSOde6AZd67y41rWCRNHpwIWltJW9j9KmA9qWDSL4sNtBbwCHHfJywd0dwltA0mkx7ip0H7JyRiKRSFxPjYKP5cuXExgYyJQpU5yPhYSEOP+vaRqrV6/mxhtv5OKLLwbgwQcf5J577mH79u0MHDjQRcOufy6Iu91Ksg14+YCPP/j6iyDARwdeXuAfhNKzH0qxrICrKkgaystE8fFDCw4Fmw0sOaDmiYyOXwCERYm+MWcSqtR9yMoZiUQiqR9qFHz8888/9OzZk7fffpsDBw4QEBDA0KFDGTJkCADJyclkZGTQo0cP52s8PDxo164dR44caTLBR1O4261OVqbKbENIGFw1AsXNvfLsjgu77pbnZaL5BULGWbT4k67JMLmbwdsPPL3E70Xdcc0eYrx51RTSlnPconomV+zT7IGWECcrZyQSiaSG1Cj4SE5O5tdff2XEiBGMGTOGmJgY5s2bh8Fg4Morr3T67vv6+pZ4na+vbwlP/uLYbLYSZVWKomA2m53/dyVF+6tsv5qqitbtliyIaFHsbteAFuEBibFou/4Wrpzn6W5XS4hD27VFXBitVjAVuoT2HoASUTIoUiJaoA25HrVo+4yibEM7dL37l9m+XAryC7Uj7lCeTNNkBnsaSkE+iqJUOc+KXg/BYeeO5ZcfUMs5FsIia7fsFRgirNhjY9DCW5TRlyjpZ6FFO5TAkMrPsdLHnZ0pSpRzss6JcjUN4k+iFB5PQ1Kd81lSd+Q8SyRlqevnoUbBh6qqtG3b1mnc0rp1a2JjY/n111+58sorazWAH374gSVLljh/b926NW+88Ua5rZFdRVhYxRcK+5kEMjPPootuic7Dq8zzqr4lamYqvgYFQ2jNRbSaquJISULNy0Vn9kAfHFajIMZ6KobsDStwZKSjDw5F5x8I1nwcyQnotqzD+/pbMbZoXfJF4eFovS+q9fvadRqZvr7ojPry58SSg+rji2+LliXmpLJ51lSV/D3bsfzyA2p+LobIlujczWgFeTiSE+DXH9D7B6LmZKFZC1BMbhijWmEecFXZ4ysH29DryV6xEDU9BX1QCIq7GS0/D0dqCrqQcLyHjsJYhUti8ePWbHas8cfRCgpQPL1QDAbUvFzU7Czc/v0H3269qjWu+qCyeZa4jqYwz3l5eRiLl803US6EY2gK1HaeTSZTnYtIahR8+Pv7ExUVVeKxqKgo/v77bwD8/PwAyMzMLOFOl5mZSatWrcrd55gxY0p4+BdFUykpKdjt9poMr0oURSEsLIykpKQyzcuK0OJP4cjMBLMXSnZO2ecdDsjKpCD2FIpas8hPS4g7l4EodpevKydjUR5q/CnUxZ+Lu2+TO6SeAS8foevwD0ZJjCX3l5Xoht9UIrAos0RjNKOcOVP9casaqm9gxZmExFho0Y4Cu4aSmFjlPGsJcTh2boYdf4lsgqc3BTk5QlPj7YtmMMH+nWByg869wNcLCgpQ9u8m69RxdFdfX/V8Gd3RBgw5N99O3U40ut79KTC6Q2JitY5bO3VMaEcsOaJKSAOsNsjLg4AQ8rKzyC9n3uub6pzPkrrTlObZarU2eYMuaTLWMNRlnq1WK4nlfH8aDIZqJw5qFHx07NiRhISEEo8lJCQ43ywkJAQ/Pz/27dvnDDZyc3M5duwYQ4cOLXefRqOxwuirvj7omqZVHHy4uRdWiORX4EeRBwaT2K4G4yujIwko1JGcikE9W9jXpBIdiZYYh7p6MSTGg5e3CCLsdshIQ8u1QJuOaP6BkBiHdjbZqUEoIZy1FgizLf8glF4lRaWVoigovfujnU2BhNgy2hG8fVB6XwJFjqKF2O12jh8/zr59+zh+/DhGo5Eobw+6nD1NW72KzmYr9BdRzh1H6w6iEkVRCktkVTFGsxnNPRoKAzglNKLqsYdHoYSWtWpHp6veuVV03KdPQUqiMCjTVOEXkp8rgqPwSDAYxDwXm/eGpLLzWeI65DxLLnROnTrF4cOHK7xeF6eun4UaBR8jRozghRdeYNmyZVx66aUcO3aM9evXc++99wLiDuG6665j2bJlhIeHExISwqJFi/D393dWvzR66sGPoq5VE0WvJztT6A/c3cWF2WgEg+85LULrDiVcQksEPG5uQseSmQEnj6Dt34nW/aIS5bSVUVWlij0ojCP79/Pvv/+yb98+jhw5wq6dO8nNK7+iJMzHmxHRIYzr1YlOwYHnjiPuBBTkCbFoQaH7atEYaihuhbr3ylHCo1EuukyIYVWHyH7odOAbAGGRKN6+IhvmCnfWZkaTL2WXSC4wNm7cSE5OTrWCj7pSo+CjXbt2PPnkkyxYsIClS5cSEhLCxIkTufzyy53bjB49moKCAj755BNyc3Pp1KkTzz33XJPx+KgXP4q6Vos4Xx9c2BDOAcbC91cQGZrsLPFcYRVHiYDH2xdOHhGZD7OHyJxkpsPB3ai2AnRDri8RgFR0UVDCo8m/KpKEg0ns+OcQew6c4PDqncTGfUVS0n4cDmuZoRt0boR4tyEssDUGN0hLPkR85mmSsrKZuz+buftj6BkayLiu7RnTNgrPnCyRUTKaChvdlTpFXWXDXgOU6NZo0W3EWIp+zJ7n/paucmdtRlwQpewSSSPnwIEDTJ06lezsbFq2bMmcOXNwc3Pj7rvvxt3dnRMnTpCRkcFHH31Ebm4ub731Fn5+fqxYsYIff/wRD49ysv8uosYOp3379qVv374VPq8oCuPGjWPcuHF1Gtj5xOV+FHXta1L0+oBwoTnIShPdZ4sufnoDOHJFW/pOPUSQUhSw+AdC/CkReHgVe42Xj8gspKWI6p7CrIuWGIf9n7+J+TePLcdM7EmyEZOVy+msNNKzTmK1HgWOAo5yBuoL9AF6F/7bB7vagYRMPQmZJQ4I+BX4EljBnjNn2XPmLP/7zZOLQwYyrn1HLgnLJjzKjGL2LPkW5+NCHxCMEh4tSq3ryZ21OWUBmkIpu0TS1MnPz2fKlCl8/vnntGvXjueee44ffviB8ePHc/DgQe644w4+/PBDli1bxieffMKcOXPo3Lkz77zzDtHR9f/5k71dKqA8P4paXxDq2tek6PVWq9AY5FtEuae7h+jRUpAv9uHj58zKaEUBi+oQTqbuHucCDxABi5aH5uHFjr9j+en31fyz6yinThwkIzcejWOApcJD0inBeHj0wt+3O0H6SILNbQjwj8K9IB2TLRtVZ8KmxWJ3S8duycdSYCIz34OsAg+yHD6czbuKLOsoIBn4GvgEm3qUzUm/sDlpPTAWN8ODdGvRih4tztCzVRLdoxNpq8ahb9Wmygu9Ky/m9e3O2pyyANK4TVIejz76KN9//z3PPvssjz32mPPxn3/+mbvvvpvTp0+fx9E1TdauXctVV11Fu3btALFycfbsWSwWCwUFBUyZMgVVVWnfvj1Lly4F4PTp0w0SeIAMPiqlrnoBJ+XoSJxmVdYC4bYZ1VJcMFW17JdusdcTES20Hc5urQ7IzxfiyuE3n7tYFQUsebmgqqh6HQlZORw9m8ne5Fz+OqVxNC2TtIL1aFp2BQPX42UMI8QcSEsvLzqFedO7exQ9Ag2Ee5hQjCaxfONIgfCzYN8Cp46ByR2jhwe2synnDL68fYR+42yy0K34BmDJsJJkjyQhP4zTKQ/y28k4tqZsJC1/B7CIAvsidhwfyI7jjwIjAXe83PLp2zufATE6BgwooGdPG6X1yvVxMa8vd9ZmlwVwoWGd5MLC3d2dOXPmcNddd5Vo2SGpHUePHqVDhw7O3w8fPszVV1/NwYMH6dChA3q9HlVV2bdvH506dSIhIYHQ0Ib7zMngowEoc+dscoOzKZCeIjIYAOlnRTVJ645lLpKlX09AILTpAFnponurjy/K8LHoIls6X2P38WeXxcZvf/zBnzGnOJCWTZ69orIqI+5uHYn2iaRLVCgXtXRjgCmeVmYDJi8voXHIzhIXQ3s8+HWHwCA4HQenjorS0/Q0odHIzRHBkqKIoCMzDYJCRNZFbxCBh8EIOVl4mo20dZygbRc9ZGYw/kozyhXTOODQ88n777Ni7Vrsjr+Av9ArXmjKaHIKbuX3rdfw+1ahIfLwULn4YitXXFHAkCEFtPE4Aevr52Lu0mwYzTQLUNclSMkFy2WXXcbJkyd57733eO6558rdpqCggBkzZrB8+XJycnLo0aMHL730Er169eL777/npZdeYufOnbgVO7/+85//4OnpyQcffAAIUeV7773H4cOH0el09O3bl2nTpjkrNC+55BImTZrEPffc49zHNddcw7Bhw3jiiSeqfTwTJkwgICCA9957D4C//vqLyZMns2fPHvR6fU2np8b7DwkJ4dixYwD8+++/7Nixg1deeYWFCxcSHx+PzWYjLS2NL774gs8//5zTp0+XaJdS38jgo4EounPWfl8L+/6BPIvICuiN4O0NKJB6Bs1qLfciWeGdd6cezjvvvLw8fvvtN3766Sc2bNhAZmZmqVEYgfZAVwLcI+nT2o8rW9oYOTSUwEt7o/30PYSGQ8wRyDQJoapCoa9FQWH5q060pXdzFxU2qir6pmgO4XSalQ7pqWhuJrG9qonXgGjuZnKH6FYiWMnOhFwL5GSjdOjqPI5uwAeffcbUxES++uQjvl++ksTkZNC+Bb7FbPYjKOgmMjImkp19Gb//7s7vv7szfTq0DDYxuFUeV1+SQv+QeNx0jjIXcy04HCXjbK0CCJdlw6B5ZgHqugQpqTaappFXQbVZfWM2m2vsgKnX63nmmWd48MEHufPOO4mIiCizzSuvvMLq1at59913iYqKYs6cOdx+++38+eefjBw5khdffJFffvmFUaNGAZCamsr69etZsGCBcx+5ubnce++9dO7cGYvFwsyZM5k0aRK//PILOhcG+WFhYcTGxjp/HzBgAPn5+ezcubNE9ef777/vDIwq4rfffiOylCliVfu/+eabmTx5MoMHD8bHx4ePPvoIg8HAwYMHGTx4MEOGDEHTNKZOnUqrVq0ICAggNjaWq6++mo8++qhE1qQ+kMFHQxIaKYSewaGii6wlWzQ70ymiwiMnC1QHWnZmuXe8Fd15n0lOZt5rr/HNN9+UsrH3B64BrkVHPwaEWri21R4GdzlCi9YKWAv1Clf0A6MJzWgSpbg5WeLCUPTdYbcKXYnBKJqyZWeKYMRuF14XiiL0KN4G8PAGSxaOzAwwuhcemyoCmLxccbxBoeIn/SxkZ6IMuxGlbecyAUBYeDhPvzSNp158iR07drBixQpWrVpFcnIycXFzgbl07tyHiy56nlOnhrF1ixunUvyYl3Il87aDl3sBQ3scY9RFh7mi80mMAYFoxw/Dsq/RsjPOv76iOWYB6qGUXVI+eXl5tG/f/ry899GjR2tVKTF8+HC6du3KrFmzmDVrVonncnNzmT9/Pu+88w6DBw8G4K233qJ///4sWrSI+++/nxtuuIHFixc7g4+lS5cSGRnJpZde6tzPiBEjSuz37bffpnv37hw5coROnTrVeMwVERYW5jTgBNDpdLi7u5OamlpiuwkTJjjHWxHlLYdUtX8PDw++/vrrMq87ePAgs2fP5tVXXy1hMubj48PPP/9cvYNzATL4qCF1EjKmpcCZ08JYKyNd6CB0hV++iiJEoTlZ4OWDFnMIYg5CqYty8TvvAwcO8OmM1/jxxx+dJ5FOF42qjgVuAi7hoosc3DDawoiOOwiM/RPSU8XyCG4l9AqaqoqLwuG9IkNhKPbF4XCIQMPLS2Q8stLF8bu5i+yNzVo0OeKYbAWo2ZngbhfGXPn5whHU3R3CokpoXpS2ncoNPIqj0+m4+OKLufjii3nppZfYvHkzS5YsYdWqVRw8uJODB2+kX79+zJt5F7l/Glh/+mI27G9LcqYXy7Z1Zdm2rviY8xjWYQ+jAlYysMthDKEh4OMnDMfqsCRTp/OhGWYB6lu8K2n6vPjii9x4443cd999JR4/efIkNputRNbAaDTSq1cvjh49CsDtt9/OddddR2JiIuHh4Xz//feMHTu2RJB7/PhxZs6cya5du0hLS0NVVUCILV0dfCQlJTl///fff8nKyipTLerv71/CEdzV+y9NUlJSmSzK+UAGHzWgzkLGojtdo6cQipb2sHA4RObBagWbFe3nZdCmU4n9a5rGpk2bmDNnDps2bSr24suAx1HV6wkOVBk/6gzjbjpAyygrirUA3APRLvlPhcsNRRcFLeGUCJDyjSK4cDhExsKgF8FRfp5YKrHbxP81TfxfUcQxuYmOskp6KpqCMOPKzhRVOeEtwMNTdJWt5YVGr9dz+eWXc/nllzN16lTmzJnD119/zbZt27h92zauat+ap0Zdyxu3t2XHiQhWbGnNT7s6k5Lrx+I9/VlMf0K2pHJT243c0mUTbaNyICyywmxTZdT5fGimWYD6Eu9KSmI2m50X5fPx3rVlwIABDBo0iNdee41bbrmlRq/t1q0bXbp0YcmSJQwaNIjDhw/z1VdfldjmzjvvJCoqijfffJOwsDBUVWXw4MHFbuDKOiDXptVHWFgYFouF7OxsPD09eemllxgzZkwZXUVdll2qs//SbNmypcbHUh/I4KOauKQqoehOt0gnYbfjLNUoKBDiUbsVDN5g8hR9Tgr3r109kg0HjvDuu++ya9euwh3qgJuBJ4B+XHpRJnf0/ZkhoZsw5Z2FVRlogObtJ8pwiy6MUa3KHZ4SHo1y3Vi07+YKPYfdJsYZEAyePqK6Jie70PzLKH7QwGYTSzQFVmGApmnowyJxDB6JEtUKLSsD7fgREdScSXDZhSYkJISXXnqJyZMn8+6777Jw4UI2Hj3Bxrc/ZlTfnjwx+FKm9VjO/zrY2J7UiZUH+rAqYQjJ+UF8tH8sH+0fS9+QQ9zS+XdGDtTwroG+whXnQ3POArhavCspi6Io9WoSVZ8899xzDB06lLZt2zofa9WqFSaTie3btzt7jNlsNnbv3l1CHHrrrbfy+eefk5SUxOWXX17iop2WlkZMTAxvvfUWl1xyCQDbtm0r8d6BgYEkJyc7f8/Ozi6hraguRY0IExMT+e6770hJSWHevHlltqvLskt19t9YkcFHNXBZVYLzTveYWI7IShe24iCyAzZrYf8QDbz9hEGYfyDb/97Gq58t4J+YEwAoijuadi/wGHp9S66/Po/JN+2ja/x3YowGN8jKFF/qigJKJvj6VevCqItsiTrubrTV34sxBQSBj79YrtmbILIbAcGit0lergg63NxEIOLlDZEtIT0Vj979sVwySPRHAbROPerNRCs8PJw33niD++67j7emT2P52l9YuWMPq3fuZWz7Fjx6SQ/6e/xF/+7r+V+/z1mfNJDFx65mY9Il7EjuxI7kTkzbnMdNPf/hzvbQ8YrK38+VVSrNOQvgUvGu5IKic+fOjBkzhi+++ML5mIeHBxMmTGDGjBn4+fkRGRnJnDlzyM/PZ/z48c7txowZw/Tp01mwYAHvvvtuif36+fnh7+/PN998Q0hICKdPn+a1114rsc3AgQNZvHgx11xzDT4+PsycObNW1SlFXV+nTZvG8ePHWbp0Kd7e3mW2q+2yS3X331iRwUd1cFFVQok73fw8kVXIyjhXomowCA2ImzuERXI6LYNpS1awZve/AOh0ZlT1ATTtCdzcQrn9dgv33ptMVKQNbc0GcTEMj4Jjh0Qg4xcIFApZ089C205oifFVXhh1kS3RRo47t6SQnCiCDh/fc5mbouUWVT33WHIi6PUoES3xuPQqcoulLxviQtO6dWvmfDGPB37fwBszZrD+wGEWHTnFDzFx3Nshmkc6RWMyqgxvuZnhUZs4Y/FlWcoYFh+8kpiMCOb/cznzb4WBAwu46y4L11yTX2ZlDHB5lYrMAkgkZXnqqadYuXJliceee+45NE3j4YcfxmKx0KNHD7799ltnR3UQwsnrrruO9evXM2zYsBKv1+l0zJkzhxdffJGrr76aNm3aMH36dG6++WbnNg8++CCxsbFMnDgRb29vnnrqqTKZj++++47HH3+8UvOzgIAA3NzciI+PZ8mSJXVuQd/Q+69vFK2RtmlMSUlxeVtlRVEIDw8nMTGxRh35tPiTqKu+g7AIFF3ZCFhzOODMaZTLrkHxC6zy4uHUCpw4DClJQkORlwu+fhAQjC04jC+27eXtn34hz2pDLK/cDbyEwRDOrbfm8sgj2YSHC6GUlnoGdfkCkXnQNDi0D0ymc0s6NpuoTunUXWRCcnLQjb4NpZwLY3EBpWYSVRiKtQAt4yzapl8hLEJ4lMTGCCGpqoJqF9oQmw2Cw9HddAeRw0bXeJ5diRp3nG3vv8WbW3bx94k4ALr6e/Nuv450DA4U1Tc2KwQGo+lNbD4QzlfJd/HLgU6oqggoIiLs3HVXLv/3fxZ8fM4dR/XOhwR0I8dVuMTlCmp7PktqRlOa56ysLHx8fM73MOpEXVq9F3HLLbfQsWNHpk+f7qJRlWTmzJls3bqVJUuW1Mv+G4K6zHNF55nRaHR2ua8KmfmoDpVUJWiaBglxopX9L8vRzB5gcqtUeFj8TlfLs6CdSYDNG8DHj73ZeTw1+0sOnk4U2yqXoWkfoVO6cOPIdB5/NpmWLUv1VSlespmTXVbMqteLIMFeWH1SQflmpQLKsCgRjBQUiEodEOZhIDIgVivY7OAfgBZ/SgQx5xHF7MnFnTqwuG8f1uw9wLOLfmR/ejYjft3Bf7u34e6OLdADOFSUvAwGtsjksmdPkOgbwPz5HixY4EFCgoFXXvHh/fe9mDDBwt13WwgLU5tllYpE0hTIyMhgy5YtbNmyhVdffbXe3mfjxo3MmDGj3vbfHJDBR3WooCpBy86EkzGQcEosnSiA6g9uwVXqK4qWIRRAi2xFwek43lvwHR9u3oFDVVGUADRtJpp2J/1bHOPlOxfS9Z5B5WdTil8MDcayYlaH41yH2AoujFUKKAePEHNwdH/ZXjEGE+TlCefVsCi0pDgcKUmcMwo5DxT+zYiN4bp+fbnITeG/a35jQ9wZZuyJ4dfTKbzdvyvRPg4xZ517oXTqQaTOwbPPZvPYY9ksX27m44+9OHLEyJw53nz+uRc33ZTL5Ht1tK1mlUpzahgnkZxvrr32WjIzM5k6daqzp0l98NNPP9XbvpsLMvioBuVWJVitEHNI9CrR6SAkQmQYsjLEhaZVh2qXb+4/cIBH3/mYg0ePFT4yDk2bTaS/galXzWNkv+PohoyqeB/Fe7+ERwkjs8y0QjGrJsShvgEiYEiML1O+WR0BpbJnG/TqB3HHhTma0STcSx12sWTk5gZhUUKvkpmGmpcLbuevP0OJv1liPCFR0cwbfjkL9x1m2vYD/J2axbW//MPLV1/KzVdcin7QtSXm190dxo3LY+zYPNatc+Ojj7zYts2NhQs9WbjQk2uvnMCj3RfSlcMVVqlw5nSzaRgnkTQGiptuSRo38hasmijh0ShDRqG0aAvZ2XDsoFjiMJqEqNDdXWQavHwKm8WdFksQifHizrccbDYbb7/9NiNGjCgMPIKA7zHpv+HRK7az8cE3GDU8WwQelVysFJ1OBAYGAxw/DB4eYlwZZ0XjN6MJ/ANE4FFe+WYVAkqKBJRu7ihXXCts1/PzRBBitQrX0tYdUbx9nJkVXXnLEQ1Mib8ZoPj6cVuPjvx88zX0jQghx2rjiTW/M37BCvYdiyl3qUing6FDC/jhh7P8+GMK114rlqvW/hbA8A8e4J5VD7P/qI8oIc7JEVUqV4uyOW3dShEQenkLrYyXt8iWrFuJlhhXo2PRVBUt9Qxa/Enx73le1pJIJJK6IDMfNaBIq0HMQWEAFhIh/DCKX2iLnEqzM8GhijvecvQVBw4c4LHHHuPff/8tfOQmYA4XX+zLm88doX2EL7jfUq00vZYYB7u3CQv0zHQhYtXpRCM3oxG8fEFTKi7frIHNt9KpB1qfgRBzQGRPjCYwe5xzLU07i9KyHfrgMDhzpvqTW0+UriTRTG60BpbedpyPPvmMd9duYMu+/Vx36+3c1P9i/vv8C0T26lvucsnFF9u4+OJ0jhzJ5v33vfjxRzNrd7dj7e7HGHblWR6fkkKXAV4AaGuWuqxhXEVaHK3PAKimwl0u/0gkksaEDD5qiKLTgdlT9EHx8RMX+uL6Cjgn8My3lNFX2O12PvzwQ955551CpXEA8CGenmOZOjWbCRPOotP5AX7VGk8JrUZwGES2EC6paSki6Bg4GJ1vQOUXnBoIKBWdDl3fAWjpqYX6kEBQVbRiSw66RmaMVbzMV0HMmf7AHh7o3YnRvbvx5s8b+fGf3SzZsp1VN9zIvTePYcqAi/DISBEXe4MRfP1Q2nVBiW5N+3bBzJ6dwSOP5PDuu14sX27m598C+fm3QK67Lo8n7j5J+xqW4lYUHFSmxVHTU7AFB4seOpVQZydWiUQicTGy1LYWOEtbPb0g/pTQVxR1gIVzpa1+gaJb67CbUHQ6Dh8+zGOPPcaePXsKNxwNfMygQX689VYGkZE1S6VrqirusGNjSt5hc64KR2nZ1vn+rtxPuRe08CiU3v3RRbRotKWJFR3rrpOxTF+yku0xJwEI9jDzxNArGHdxb/SJcZCRKoS8kS1RWndEKXbhPnrUwDvveLFihRlNU9DpNMb2+JvHb95JRGBu2TGUKsWtMDjo1Q92b6vw76IkxuHTtTc5lw09J/4t/V4VBC+kpaJ4+YhlKRmAVIostW1YXFFqK6ma811qK4OPWlDiAubtCyeOiGDD7CEuUNkZ4m65XWd0Q67HERzOJ598wsyZM7FarSiKH5r2ASbTbUydms1//mOhNomC4v4eSjkZCy3PUqmnR4ltS1ykyhFQXl32IlXR3Xpj/rKubM7UzHR+/mk1r+48xClLPgAdfb14/qLODOrYVhynpxf4+KN4+5a5cB85YuCtt7xZvVpkutwMNu66/G+mjNiJv6f13BiK/V2wWSsMDjAYxFJacFgFf99cPFQ7BUNvhMCy/RxcFZw2dxrz+VwaGXxIqsv5Dj7kN04tUHQ6cefr5SO0HREthB16bi6cPQMo0LkXuiHX8+exk1x77bW8+uqrWK1WYASatp/OncexenUqkybVLvAAqqnVsAovkSrEiiXEmTk5ZQSUFZULK0GhKFGtxL9N4QJWwZxp2ZkoMQcZHuzF+mv68uKAnviaDBzOzGHC+u1MWPkb2zMsaHm54B+IlpOFtmtribns0MHOp9P28uPTi+gXdoACu5GPN17GZVPv5qOV3cizGs7pYsKj0PwCS1YZmT1QdHoRaEREi3Mr5YwwjCsPkzuatXxNEVBtIXFFgmhJ00SVYmRJPeKqAFxqPmpJmZ4cPj6i5bx/EErPfuzOc/Du01NZv349AAZDAHb7TOBO7r7bwnPPpeBe+VJ91RTTamjuZsizCP2JwQBmT5G5sNvQtv6GlpVZ5Xp/afMzZ0bDaEJT1aYRXFRFOfoWTdMg8bR4TKfDZNAzqXt7bg714f2Dp/jqaBy/xyXxe1wSvYP9uSdPYVivrhhK6zYKs0d9jFl8f/8ONmwJ4PWtt3I4oxWvrh7GvD/78+zg5dzQP1OU4macRa1UGxIsNEWZGSIrUhprPoqpEjOzGgiJJRcGHh4eZGdn4+3tje5C+LxKGh25ubm4VfSdUgNk8FEHyuvJseNkHO++OpONGzcCoNPpMZnuIz9/Gl5efsyalc7IkfmuGUCRv8fhfcLVNCersGOuTpT82mzicX1hZ9pqdF5VdDo0mxX27nBqELQLSaBYnmFcnkUYp7l5iDk0uYNOh5/JwIsXd+aODtHM2X+cH06dYVdKOlO+XUb0z79x90XduPXya/EKCi3jlaJTFK4enMWVHaezbFcvZv0zjoSsEB7+cSJfHc9mWvd8egYdrTw48PEDk5vIYPgHltV8pKdi7NqbgoAK0pzSibXZYTAY8PT0JCcn53wPpdaYTKbCLLGkPqnNPGuahsFgcEnwITUftaS03mHHiVjeefddfvvtNwD0ej3duo1l376XUNWOdOpk49NP02jb1lH5jmuIunc72pIvxQXU2/ecViMrQ5T6hkZA5x7VXu93hUCxPtfIXVEyWuIY/QNFd+Fjh0TQZreJYM3do9AjxQiKDqwFpKBnftxZ5u87QrpFCEm9vby4fvRoxg4dQu+T/wp9TLELvaZpkJdLfnoun226jA+3XUdunugHc/Oos/y34xzCIrSKNTspZ4Rxm91ejhbHl9Dx/yHV6F7uPEvNh2toSpqPpo6c64ahvuZZCk4rwGWC02LVCduPn+TdTdvZFHMKEEHHmDE3kZc3lZ9+6gHATTfl8vrrmXh4uP5CrK1ZinZkH9gdwvRLdQjRq5sbpCZDcCh07lkmrV+eGNVVF6v6OrErqgpRapGR0RLjUH9fC0f2QVamCN70BrFkZbcJ91bVIRr1ubkLJ9fAEGjfhTyTO0vWruPzHfs5kXxOL9E6wI+bL+3HuL7dCfFwdy5/KYrirHBJvuT/eP3LrixZIoINDzcrDw5Yy6QxRzGbzq3VF59vehZWvZSqLNL1HkBE336VznNthMSSksgLYsMh57phaAzBh1x2qSFFX+ZbDxzk3S27+evocQAMOh039enOHQ+/zPQ5w9i61Q2dTuPFF7OYNMlSUSVk3SgSFEa0EFmAvFxx4TQYxUUqJ0v0XMnLBY9SVuflrfe7uFW8K6my90xtSkatBeDjL+bv9CmRZSjIF/PnbhTurQV5ouuwjw+06QgGA+bUM9xx5UAmvPwqf586zeLFi/lp1SpOpGXw1qpfeG/1Om5u34LJPTvQOjISLTxSBCJGE2HRBt57L4M777Tw4ou+7Nxp4s3fRrFw11n+d9OvDO1zqoxNuxIejRYeXWJ5j4BgFH3ZjrqlKaNNsqWJ4KUiwzmJRCJpAGTwUQM0VWXzwm94d8mPbD4VD4igY+yAi3jg2sHkn/bmP49fSWyqG97eKnPmpDN4cEH9DaiYoFBRlBIBhpariYuo3SoCktKUt97fSAWK1ek9UyPH0ML9YcmG1u3Fg2cSxbKLzgCaKrJHASFgyYT8fLEMY8kBm8154daFR3NpZEsuvfRSpj8wmZ+mTWXB3kPsSM1kweGTLDx8kuGtIri/Txd6tm6J0qm7s6dO7942VqxI5YcfzLwy3ZO45EAmfTGeIZv28dLIlbTsUjI4KG6UVlPK0yZJh1OJRHI+kcFHNTlw4ADTXnieTVtF4yKjXs8tAy7igWGDiQ4M4K9D0dzz1Wiy891pGVXAl19n0qGDvX4HVZmg0OwJZjOk54rlhGKU7rxarf3B+RMoujojU2p/Wq5FBF0BQeLinJ8nlmGKmuX5BUBBPsrl1wjhbakLt6aqeB75l7F9ujG2fQu2xSXy0YHjrD+ZwOrCn0sjQ7jvqS4MLjZ+RYEbb8xj2LB83nvXk08+8WLd0e5smtOVRx7O5r6rLdRd1lX4XjqdqJ4pCkDSUtBkACKRSM4TMvioguTkZN566y0WLlyIpmkYdTrGXXoxDw6/msgAfwCWb+/IY19dh82h55IWx/jsszQCO0TV/+DKq9wojskslhUyzqLplHI7r5a4+FSyvwoDlobA1RmZ0vuzF1YFeXmL7JG1QGQ5WraF4HBRQXQmAcUvsHyztuLLX3Y7/Ty86BcZyuHUdD7ad4wVx+PYfDqZzY8+QaePP+Oxxx7juuuuc5ZCenhoPPtcDjePzee553zZvNmNN9/yZclST155JYMrrqid8r+4OFfLykA7fkQ0PJQW6xKJ5Dwjg48KOHnyJPPmzeObb74hP1+Uxo4aeg1Pd21Ji+hoZ3XC5+v78PKSwQCM6Lmfd0d/jTlsXIOMsUTb+IS4sq3dQ8Kgx8UQd7Ja6/1V7q+8gKUhcHVGpvT+DEaxzFLUo0enFyJTLx+RGalq/8WXv8weaF6dIS+XjnYb7152Bf+15PHF6l9YsPcwhw4dYvLkyfTu3Ztp06bRp08f527at7ezePFZfvzRzMsv+3D8uIFbbw1i9OhcXnwxi7Cw6ptHlRDnZmVA6hmhO2nRVnTYrateRiKRSOqAzLkWw2azsWbNGm6//XYGDhzI559/Tn5+Pr179+bHH39kzmef06JFKzh9Cke2hRlLr3AGHndeuYMPR36Ke3R4g2YGqnIm1fW4GGX4TehG34Zu5DhR3TLspgovNrVxOq13CjMypKWWUWYXdwyt9ryX3p/ZQ/ii5OWKKpf8XFG2bPas3v6LBzOIpSDFwxPFxw/Fw5MILzPPX3c1f69dw+OPP46npye7du1i1KhRPPTQQyQmJjp3pSgwZkwef/yRzH/+k4NOp7F8uQeDBoXw1VceVMe80inOjY0RdvAOG6CBwwEJsWCxOF1UtexM1D/XocYdr9D9ViKRSFyNLLUFTp8+zbfffsuiRYs4U9gGXlEUrrzySu6++26uvPJKSIoXd5InDmOPi+O/mx9myfFrAHh6xDqm9FqBzuf8lS66umV6XfZXH2Vcri4Z1RLjUH9dIY7R21sEHXEnIS8HPL2hbSdha16N/de0RPnMmTO8/vrrLF68GACz2cyDDz7I5MmTMZtLZlf27TPy7LO+7NolLNb79SvgrbcyadfOXu48lx4LeRY4tE+YlRmMwrLdLwDadRbVUHHHhYNqWJTI9NSydPlCRpZ/NhxyrhuGxlBq26yDj2PHjvHBBx/www8/4HAI86+goCDGjRvH7bffTsuWLYGSFz6bbwgPzx/NT/u6o1ccvDngfcYOOorSpmO5SxmuDgqaAg3q81HYSbdOPh+WQjdIkxt4eIG3j7hQ12D/tQmO9uzZw4svvsg///wDQFRUFM8//zwjR44sEcA4HPDVV5689po3ubk6TCaNRx7J5oEHLLRsWSr4KNU4T8vKgCP7hfW/oivsuGyF6FaQGCeyNaoDOnYXS02y220Z5AWx4ZBz3TDI4KMS6jP4iImJ4ZFHHmH16tXOib/00kuZMGECw4YNw1SskVfxO8mC4FZMmXs9v+5th1HvYPb/LWF40C8Q3RquGIbOZi0RYLjSFKsp0eQcTlW10GI9S/TmuegyFB+/Gu+/NsGRpmmsWLGC6dOnO5dfBg4cyBtvvEHr1q1LbBsfr+fZZ33ZsEE0Berc2caXXxqJji4WfMSfRF31HYRFoOj0aLk55zIfRqPI8ORkiWMryAM3swhIOnVH8fCUzqflIC+IDYec64ahMQQfzVJwajabSU5ORtM0hg0bxkMPPUSvXr3K37iwkiHPK4x7Ph7DHwdb42aw8+nk5QzuFoeW6g8H90BKEqpO7wwwtOhWsGe7a02xJHXyu4BKPEO8vNGCQiEhDk4ehVpceGvjp6EoCqNHj2bo0KF89NFHfPjhh/z1118MGTKEJ598knvuuQeDQXxMo6IczJ+fxo8/mnnxRR8OHjTSvz9MmuTNU09l4+mplW02qCF+z8kCX3+RRtEKdS3unuJfvwCnkPd8m8lJJJLmQbO8rVEUhenTp7N+/Xrmzp1bceABkJ9HrgXunHs7fxxsjdlk48sHljG42wm07Ew4HSvW0d3cRRWBlzda7DG0lYvQUpLKbZVeXjt2SQNRz23mFZ0OJSgUJaqV+LeaAYy7mxuP3XE76xfM5/L+l5Cfn8+MGTO47rrr2LVrV7ExCkHq77+ncNNNuWgafPaZF4MHB7Npk+mcmPZ0LBw9AIf3icDDkgNJpyEjTQQoDrWEl0mJuTC5i8xNYemypqpCjBp/UopSJRKJS6hR5mPx4sUsWbKkxGMRERG8++67AFitVubPn8/mzZux2Wz07NmTSZMm4efn56rxuozu3btXuY2mquSm5/GfhZPYEtsSL/cCvnpgGf3anT7Xhj0/Dzy8wdMbRacXrpt+geLuuRz7a3lneZ5phC6uxZdrom1Wvhl+GUs6tWHasp/Yv38/o0aNYsKECTzzzDP4+voCEBCg8sEHmdxzjweTJtmJjzcwfnwQE+/I4Zmrg/BMSRRW8b7+4BsgymzT00Q5sY+vcHH18oXoNijePiUHVKy0uKKlQ+kPIpFI6kKNMx/R0dF8+umnzp9p06Y5n/vqq6/YsWMHjz/+OC+//DLp6enMmjXLpQN2NRXd1amnT5G78Bsm3RfG5tiOeBpy+Wb0m1wcelC8sKgNu6aJL/Pi/hMOuxAs5ueK7UpT6s5S0oCUKostQwO7uJYoi/XyFloNbx/GRgXx28P/4eYR16FpGvPnz2fQoEH88MMPJdZor70WNm5MZeJEcZ59Nd+LoQ8OYUtcR0ARHh+Z6aA3CtO06Faikqd3f/DxA51OGJDl5qBpWonSYq0gv+TYQsNBr0c7vBd11Xeop081yBxJJJILjxoHHzqdDj8/P+ePj4+4a8rNzWXDhg1MnDiRbt260aZNG6ZMmcLhw4c5cuSIywfuCrTEOLQ1S1GXLxBfpssXoK1ZiuO31RTM/ZD737uSP052xWzI56tBz9GH3+DIfrTMdNEXxJItgo7SaWuDEQwmIeSzl2Oxfr5syiWVe4aoqlia8PAUQWk9Ly+odjvqpnVoKYlCd+FuLrE8F4iDd24YyuLFi2nXrh0pKSk8+OCDjB8/npiYGOd+PD01XnnoXxZO+oJIn7PEZYcybuPbvHjgKXJ1fkJoGt0KOnQVAUhuLoS3gPSzoifOwT1wcC8c3A0xh0UmpKiTbqE2BrsNYo6IjF76WTh6AG3x3HoPQOSSj0RyYVJjwWlSUhKTJ0/GaDTSoUMHbrvtNoKCgjh+/DgOh6PEckZkZCRBQUEcOXKEDh06lLs/m81WoqpFURSn10EZu/A6UrQ/RVGEg+f6lYUVDsHnBKGH92I7FcdDW59n/en+uOmtfDFiFv18j4FNJ7Y/dghCwsDbDyJaonj7lnwfsyea2QzphW3aKen7oKSfhRbtUAJDXH6MjYHi89zYUPR6tD4DUNNTIDEOzT9IZKLSUiA2RmStVA1t1SIRVPYegBLh+uUFLSEO/vwVdm0WjqpZmeDlgxYeheLtW7g8F4SWFM/ASwaxbt06PvroI9577z3+/PNPhgwZwkMPPcSMGTNA09B2beWy8Bh+efw0ryzsx4LD1/LlvmvZENubWQPf4xLfRAgKE5b72fEo+3eieXiJpcGipaj0XPAJQOlxMYq7GceZeGGslpMNJ44K23l3DzDoRUCTFA9rlsCIcfU2R9quLWLJx2oFU2G1WD39TSqiMZ/PFxpyrhuGxjDPNSq13bVrF/n5+URERJCens6SJUtIS0tj1qxZ7Nixgzlz5rBgwYISr3n22Wfp2rUr//d//1fuPkvrSFq3bs0bb7xRy8OpHpqqkv39l1hjDmNo0dr5B9A0Dcs/25iy5FZWnL4Gk97GVzd+yFWtD6BpGmpmOjo3d3QBQXjfNAHr/t3Yjh8psY+i/VgP/YtqyUIfFIYhOBTF3YyWn4cjNRmdjx/e14/H2KJ1RUOU1DO22BPkbdmILf4kjox07EnxKEYTpnYd0QeFoRXk4UhJRufji/f1t7r0b2WLPUH2ioXYE09jP5OAzs8fVBUt14Li5o6pY1f0vv5oDgf207H43DoJU6t2AMTExPDggw/y888/A9CuXTs+eGU6F8cdQOfjC6pG/t5/+D2pL0/+ejenswNQULm7x8+8NOkIZpMd67870QUEYWrfBQDNkoNmt4HegHo2BVO7zrhdPJCsRZ+j8wvAdvQAanYWin+Qsx8NmoojMwNDUCjuPS7Ce+xEl5blFs2RmpWJPjgExc1cr38TiUTSsNTJ58NisTBlyhQmTpyIyWSqVfBRUeYjJSUFe3lLFnVAURTCwsJI/HcP9h+/AU8fZ48WANWSw3Of9uPbI8MxKHY+Gf4u13T4t9hgrUIrEBiE/qY7QadHXb8CcrLO3UFb81HSU8HLF6XHRSJdXEKsF42ud/8GvXNraIrmOSkpqVHX6hel9NV1KyA5AVq2L9mtVtNQEmOhRTt0w13jeaGpKuqaJRAbg+YbAEf+BWOhB4emnSuJbddFaIYs2ehH316ioZ2maaxatYoXX3zR6cg7umsHXrj9FkL9fNGOHYDMNLKMYczYdCuL9g8CoHVQKu8M+4w+nrugQzcUD8+y48uzgCUbpUtvtF9+EFmR7CyRIXH3ENoPt0LNks0KLduB6igzxtrODWkpaLkWtK2/oaUmicxiqcDe1X+Tqmgq5/OFgJzrhqG+5tlgMDSMz4enpycREREkJSXRo0cP7HY7FosFT89zX2qZmZmVVrsYjUaMRmO5z9XXyafl5Yo0boAJYYQgeHvN5Xx7ZDAKKu/3m8Y1LQ4D7udeqNeD3QqKDs3NXZRSXj0KbedWkYK2nRVajhbFGrd161vG9wGdrll8sJwCxsaKooifXItYYtEpFD8fFAU0/0CxPHM22SWVSdrZZFHK6x8kzgdPH8hMA4OvWJ1zN4vS7dwcyEhDadlWBLal5nHkyJFceeWVfPjhh8yePZvl+4+wcdpMnrz+Wm7t1QW3XAs+1iTevPIThrfcwtO/TeJEahA3fftfHuy/moe7HsJEOX8bkxskxKHt3io8Qex20OnAaICCXHH++wWKShq/ACFaTU4Un6k6/K1LVNXkZInPk4+/+ClWjVMff5Nqj7Gxn88XEHKuG4bzOc91um3Iz88nKSkJPz8/2rRpg16vZ9++fc7nExISSE1NrVDvcd4op+Lhq7UdeW+9aBI3o/tMRgb/LCoFildF2B1CRBp2rsmYEh5daeO22vo+SBqIapXeurAyqXgHXEWB8Chxwc/OFOeWTieeT4yrsouwt7c37733Hj+tWkX3ltFk5efz4uLlDHrrI75JzsHq5QsFBVzlt4Ffb3mCMZccxKHpeW/LKG586zZikvyd+9I0DS3XIrrfpqUIDUpEtOhvozqEM2qRiPpssng8LApsBXUWT5ep+PEPFPNgyYbjh9Gys0q+QFaLSSRNnhpdCefPn8+BAwdITk7m8OHDvPXWW+h0Oi677DI8PDwYPHgw8+fP599//+X48ePMmTOHDh06NL7go1TFw4o/o3nhxxEAPNrtaya0XS6EonmWQivvfJEpyUgFX3+USwcL+/TCtD0JsWK/ES1kgNHUaOjS29IdcL19oE1H4cVhtYogRFWF/8bVoyA0sspqj569erFq8SJeuWEYod6eJKRn8Nyy1Vz59XIWxKVga9UBv9vH8cESb+Z8eBZfj3z2xEUy7NU7mP97T9SsLDh6UFS87N8FZwvP6ZMxIhGk04nPgM0qUg86naiW8fKueUfhUpRxnDV7iMDGaAKzpxC5JsWXvDtz0d9EVtJIJOePGi27pKWl8d5775GdnY2Pjw+dOnXilVdecZbbTpw4EUVRmDVrFna73Wky1thQdDqUPv0hLYVNf7nz6MKb0NAxoeuvPNZ7ERS4ibs8TYN8C6Qmiztj/0CUkePRRbaU5ksXCoWBqBYbg1ZeR9q0sygt29b64lqd91O8fdC8Oovln8Q4aNEG5YYJkJIo+gpV4xwzRLVi4vMvccs1m/j2pzV8+MdW4tMzeWbtJj7cd4xHAlpzc/uujL6hgItaxfL4Iz78eawtUxddw7q/Anmz/zuEullElgNFBEDWfLGs4uElxmY0iYDDbgOlsAdMFdmZKinPcdbsKQzQsgrdWLOzIC9XlEC76G8iP78SyfmlWTaWK2qms//3s4y5qwOWAjeua/knHw55D72vN3j7irRzTqZI7Toc0OMilMEjzwUezg6m5/q2yI6ggqbWHKo2HWnr+/2AKs8xXUSLMvNcJNrMy8jg21U/8eGX80lJEVbxISEhzo7NETqYOzOP15deSoHDhL9bFq/3/4DhUZtEcKHXCb2Hm1m8f/pZMXi9QVysW7RFad2+Vh2FS8xFqUZ4zsezM+HEkVJdd91c8jep6ee3qZ3PTRk51w1DY2gs12yDj8REhZEjg0lM1HNpi0N8dc+3uHnowewpPBY0TSy7FFgh4yzKjRPQRbcp0eWW8u6UZUfQJvkFUpuOtPX1foRGVusc0w2/mYjIyErnOS8vj/nz5/Pxxx+TnJwMiL/PVVddxW0jryN6fw6P/zSJ/UmRAIzt9Bsv9fwAby1NBBqqCkEhgCJEpl4+ENVKXPxdsMSopZ5BXb4AvLxLVJ5BYQASdxwyM4Q2xtOnzn+T2nx+m+L53FSRc90wNIbgo1l2tbVYFCZODCAxUU/7Nnl8Mu5b3DyNJb78FEUBDy80xQJePijmwgqeKhqTna++La5oNd+cqU1H2vp6Py31TLXOMdJSIDKy0vcxm81MnjyZ//znP/zyyy98/fXXbNq0iQ0bNrBhwwbCvD0ZO/BPLsq8l/lbbuL7Q1ey9XQX3rvkFS7y3yuWHh0OUPSiAic8Gt2Vw1FCwl0zEZUse+HlAz4B0LYLSv9B4jNY179JI/38SiTNjWYXfDgcMGWKH//+ayIw0MFXX2fgtz+o+mv+jbwxmVy/rj7lBmwNeMFRdLryL3D1cI4ZjUZGjBjBiBEjOHHiBN9++y3fLVpIUnoGH/y8Dp2ynr6h7TiZ9RJx2eMYu/5tHu32DQ+2n4c+P0+ITL19Ua641qXnlKLTQaH+SkuIQyu9DOXji3LZENe9ZyP8/EokzZFmd2v8xBPw66/uuLtrzJuXRstWGkqf/ihePsLfIM+C5nAIs6XyBHVNoDEZXt4imFq3Ei0xrkHG0dSoqK9Po5ivej7HWrduzfPPP8/27f8we9Id9G8Riapp/HPmKKl5t2M2ROLQ3mDWvpsYt/VjTodeBoGh0HcgSqcetT6siqpLlPBoobNo0RZycuBMAuTkiOUPF+ttGtvnVyJprjSrzMcXX3jw3nvi/+++m07fvkJTooRHw5BR4MwepInsQcu2ZdeXG7o6ohLKlCk6qwU80CKiRf+QXVshNFIuwRSjIsGhFhsjMiHnWzDcQOeYu9nMDfdNYXS7aI6cPMmCPYdYsnMvmQVngKkozGZbwpsMfecB3hqzhBFjO9b6PKoqO9dgy16N6PMrkTRnmk3w8ccfbrz4oigJfvbZLEaNyi/xfHW//KpME9e19LAmyPXrGtMUAraGPMeKAu8OO7fyv4hwnr6kO6v27Ofdf/YTm50ITCDbein3fTeb2xIMvPTqaTzbVK4zKU11g70Kl6FcSKP6/EokzZhmE3x062alXz8rXbu68eCDlnK3qe6XX40yJfWJXL+uOU0kYGvIc6x44O2Rn8fNw9MY+ccvfP77ZmZv20uudTNwEQs2TWbLDY/w8ftn6XZlYLX23RiDvUbz+ZVImjHNJvgICNBYuDCNyMhwUlPr1IYCaPjqiHIpvn5dqkwRkOvX5dGEAraGPMeKAm9NVVH2bMddgQdvG8fNI4bzytJVLP9nN/ARJ85+x3UTXuC5525n8n02quzI3UiDvUbx+ZVImjHN6pPmVtg81FWc974tpWzii+Ncv66D9fUFSQMIDqtr212d7Rr8HCsVLIT7+TL77ttZ/Nh9tAsLB9JwqI8xfcYVjBy5h5SUKsbT0L1zasB5//xKJM2YZpP5uBCR69e1oJ4Fh9Ute2605dEVBAsDOrTl1+cfYcGmrbyybD25tkPs3n0dl1xyG++88wKjR/uUvz+ZnZNIJOUgr0pNnAYtU7wAKOrrU+3S6hpQ3bLn81EeXe0mapVkhgx6PRMu6cW2p+5k9PDbAIWCggVMmTKQiRNXYbWWs5Yps3MSiaQcZOajmjRmB1G5fl0z6kNwWF1hpRYcLt63AQWYNcqyVCMz5Nu6LR/e/1/u/Of/uPvuZ0hL28u6dZPp2fMa5s9/lYsvjnC+RmbnJBJJecjgoxo02hR5MRqiTPFCwuUBW3WFlScON6gAs6aeJjUJFvr168nOnSt47LHP+eGHt8jK+pUbbtjMbbc9z+uv345eLxrFyeoSiURSGhl8VEGjN6SS1BqXBmzVraLJyhTbmUxouRbRQdZgBLOHCEZcWG1T2zLXmgQLRqOR2bPvZ9y4Ydx99zNYLH+yYMGzrPtlKfO/foPuPTqd22exYE8zFc6TtQAt9YxLM3WNOUspkUgEMviohMboUSBppFRXWOnjKwKOQ/+KLrGqA3R68PJBC48Cg951Asw6lLnWNDN0WTsDu9+4mbvevpg/j39Ocuo/DB8+nP/cejfPv/pfTCbTuXLexDjY/idaUjyaizOJTSFLKZFIpOC0cqr48qZ4d1FJ86aawkrN3QMy0yEtWdR9e3mDyQSZaRBzSIheXSXArGOZa3VLUYuyg25JMSx40I+ZE97AqB+GhpW5Cz9iYP9h7N+/v8S29SG2lX2OJJKmgww+KqMRexRIGhfVqaKhZz+Uvf+A2RN8/KEgD+x20OvB3QOyMyDPIrZzRSatoTxNimcHzR6Mu9TCn9Oup23oB0AQCWcOM2zYCN55Zzb2fzaX2FbR6VHMHhARjZaThbZra8WVODUch6v2LZFIXI8MPipDdsCU1IAqy57d3EUmLbIFtOkAPgFgLQBLDtgKIDAEfPxR3NxdM6CGKHOtIDsYEWBh3QsFTBr0OXA9qmpj5szXGPny+8RqetdnEmWWUiJpUjRLzYemqmhnk6tey5YdMCU1pDKthBZ/0plJU8weaF4+ItNht4PBIDJpyYkuy6Q1SJlrJdlBg17jxbGHuDLyGu5bPoIcyxP8m3iSq9/4hBnjRzLu0otLBgp1EdvWwjZfClMlkvNHsws+bLEnUH9ZIe6CqhCkSY8CSW2osIqmlChVURTw8HI+reVZXJ5Jq27lSq0vxNUQ2l7RKZVNk+7g3sf/YvvuByiw/8lT33zPz7sPMnPCTQT5eDm3rfXx19BJVQpTJZLzS7MKPrSEOLK3rIPkJPCvXtms9CiQuIzzlEmrqnKlThdi5zEdQ/MLBIfdWToMOI8puL0/S5fD+w+/yqzlm9F4gfX//stV02KZNeFGrunRpW7HX4O5leXzEsn5p9kEH5qqou3agpqViRbe4lw3zmqUzUoHUYkrOJ+ZtIqyMXW9ECs6HVp0K9i9FU4eFYGHoTDD4O6OEhzmPCa9Dh59wUT/sAAmf72es7lTyLD8y90ff8n4Xl34343X4V3L46/u3AKyfF4iaQQ0n09XoSBNHxxSK0Ga7IApcQWNqRePKypEtMQ42LNdVPD4B4nyYbsV0lMh1wI9Li7poBoeTf97erBxxgEGtf0aeBJQWLT7ANd8tIB/4pNqfTzVmlspTJVIGgXNJvNBfh5YrShuZsgtR9DmQmdJiaQyGk0mrQ4mZFAqeGnbUTxYJKDVGyD9LMSfROvWt4yDasDYSL6+KoU5nz3Imx+PQFUnEp8Yy4033siUKVN44oknMJlMNT6kKue2FsJUiUTieprP7bu7WVhaF1TwpSLLZiUNSKPIpNXVx6ZU8KIoCoqHF4qPH4qnFwQGVZhFUHQ69CGhPDTVyJIl3QgJ2QVMRFVVZs+ezciRIzl06FCtDquiudVUVYh6bVbISC9TfgzI7wGJpIFoPsFHoSDNkZIsW3tLJFB3H5tKghdN08DugKx0YaNeydLNJZdY+fVXK4MGfQwsBQLZv38/w4dfxyeffIJa+FpNVdFSz6DFnxT/FttnZc9BobZlzVK039dC6hk4uBuOHEDLzio5Zvk9IJE0CM1m2UXR6VB6D0C3ZR1KYiyavyyblTRz6lp9U0F5q5adCYmnIfMsWK1of6yFU8crrZ4JClL55ps03n9/CDNn7kPTJmG1rmbatGmsW7eOd597mvCEE+VW5ACVVuuUEdW26yys7JNPQ04WWrtOwuJefg9IJA1Gs/qEKRHReF9/KzQCsZ9Ecr6pjiV8pRfichxUtexMOHFE9KpxOCA4VJS3xh5DXfUd6q6t5WYmAHQ6ePTRHL77zkhQ0HLgE8CDzZs3M+TmW1ixagV4epXo2aKuWIi6YmGF/VzU06fKimp9/aF9FwiNFBqVYwchO1t+D0gkDYiilbvwef5JSUnBZrO5dJ+KohAeHk7C6dPVcziV1IqieU5MTCx/XV3iElw1z+X6fIRHVcvHpkRWwT8A4k5CxllQdODuDq0LhagJcZCaCO6eEN1aVKZUkglJTtbxwD1mNv+TDPwfsA2AcV3b89L4G/EKChIBzM6toAClgiRN08R7BodCRjp4+4gqnuJj1zRRlZOdhTLsRpS2ncv9HqjJPEvX1LohvzsahvqaZ6PRSHBw9ZYsm82yS3EqdKCUSJohdam+KWHCd/Ko0FOY3MAvAMKixEbHD4seNp7eoDrAYKjSRyTYcYoFN67iHWM/3tvyBzAdeJXv9h9l+8w5fPSfW+kcFQ6aAzRFjNvD89y4Cqt1SIwHVYWgsl+IiqKg+QZAfj6K2bPOQYJ0TZVIqo8MySUSSZ2qb5TwaJThN6EMuhbCIqFzT6Gr8PIWF39rAXj7gps7qJroY1OJj0hRCa8uN5MnRm/lm2GvEWj+L7ARhUiOZ2Yz+oO5LP17JyLtAdjLyZKa3EFTxXpONUS1VYlWK8OZAapg+UdLjKv2viSS5oAMPiQSSZ1RdDpxl+/jD/rCrrV5uZCTJcSoCkIDotOBwVC5oVexEl6MRq6I3seacc/QLzIMjT3AteTbHTy2eCXPbd5NgcMhnFVLY80HD28Irbqzr1aQj7ZmKeryBUKbsnyBqI6pRtDgCrM2iaS5IYMPiUTiGkoLUO025zILmgb5uSIDYi5cHqnIR6R4Ca/ZE7x8CdMnsOjG13jg4s3AT8BLgMI3h05x8+q/iLfkl9iFM7CIiEYZOLhSUS1RrWDDTxVnLRKqCECka6pEUmNk8CGRSCqkJksRpatnsNuF8DQ/T2RATG4QFnnuAl2Rj0ixEl5FUSA8EkxuGHIzeLrfQr4a8Rb+bo8Bq1EIYE9KOte99i6/7dpTbrWOLrJlhbbrXDUC4k5WmrVQq8pa1NWsTSJphjRLwalEIqma2ggoSwhQE+MADXKyISQcwqNQvH3Fvkt3mi1WJaKZ3EQZbNxx4T/i7YvWuoPwDsnJ5Crfjay5+SQPbH2RHTE7gZvJyPuHOz79hkevuIRHBl+GvlTX6YpEtaSloFZlMZ8UhyMlCae+pDQV+J04ka6pEkkZ6hR8/PjjjyxYsIDrrruOO++8EwCr1cr8+fPZvHkzNpuNnj17MmnSJPz8/FwwXIlE0hDUpdtt8Qu9Fn8CbfufYLOJKheHo2yn2TOnywQ5eHoLfUhRh1oPL4hqAUkJEBZF5BXXsmS6yhtvBvLxx5uAR9H4hHf++JsdVoX3P/qI4JCQkuMqp8pNq07WIiMNNS8X3DzL36auZm0SSTOk1ssux44d49dff6Vly5YlHv/qq6/YsWMHjz/+OC+//DLp6enMmjWrzgOVSCQNgysElEXVM7pe/dGNHIfSsl25xn5AuVUipKeKHfkHnXudxYLSoSu60beh69ILk5uOF17IYt48C35+c4CvADN/bN3KtcOGsXnz5qoPtpoW87ryMhrFj7UuZm0SSTOkVp+G/Px8PvjgAyZPnoyn57m7gdzcXDZs2MDEiRPp1q0bbdq0YcqUKRw+fJgjR464bNASiaQecbGAsqgUVzf6NnQjx6EbfRvKsJsgNLLSIAdVFeZgo8aXeF3pjMvQoQX8/HMKvXuPB7YDXThz5gzjxo3jnXfeweFwVDy4clxai3BmLcKi0QeHVX2MFehKpGuqRFKWWi27fP755/Tu3ZsePXqwbNky5+PHjx/H4XDQvXt352ORkZEEBQVx5MgROnToUGZfNputhJOpoiiYzWbn/11J0f5cvV9JSeQ8Nwz1Ns8F+YVLEe6Uq3MwmcGehlKQX+33VvR6KHUB11LPoJ6JFwGAUvI+SOgtguDMaXR6PUp060r336KFyg8/nGXGjFZ8/vk24CFUdR4zZ85k69atfPjhh+U6Lyp6PVqfAajpKZAYh+Yf5Oz5pKSngrcv+j4DRHajimNVIlqghUVJh9M6IL87GobGMM81Dj7++usvTpw4wWuvvVbmuYyMDAwGQ4lsCICvry8ZGRnl7u+HH35gyZIlzt9bt27NG2+8UW2L1toQFlb5XYzENch5bhhcPc92nUamry86ox6dhxeapqFZctDsNhSDEc2gQ/PxxbdFSwyh4bV+H2uBhSy9DkNgoAhOSqF5mLHn5+Lj7YUpPBxNVXGkJKHm5aIze6APDitzYf/sMxg+HP7zny/IzBwETOHPP/9k+PDhLFmyhAEDBpQdSHg4tuBg8rZsxBZ/Ei0rDcVkwti1N+YBV2JsIQKfas9zZGRNp0JSCvnd0TCcz3muUfCRmprKl19+yfPPP4/JZHLJAMaMGcPIkSOdvxdFYikpKdjtdpe8R/F9h4WFkZSUJPsG1CNynhuG+ppnTdVQfQMhNgbNyxeSRPdX1EKTME2Dzr0osGsoiYm1f5/sHBwOFc6eLdN3BRCaCYcDa3YO7NiGumuLWA6yWsEkKm90vQegRJRc0hgwAH7+Wc+9997Gvn0XAzeTkHCQQYMGMX36dCZMmFD2js/ojnbZtSWyFgUBwVh0OpSkpCrnWfZ0cQ3yu6NhqK95NhgM9dPb5fjx42RmZvL00087H1NVlYMHD/Lzzz8zdepU7HY7FoulRPYjMzOzwmoXo9GI0ViOOyHU28mnaZo8sRsAOc8Ng8vnWVFQevdHjTsB+3eKgMPDCzCCJVsEH5lpIhCog5ZB8w9CCa2sSiQVpWVb1Pw8YQJWVHkTUFh5cyoG9WyK0FqUGkeLFnaWL09h2rSWfPnl38Bd2GxLeeaZZ9i9ezevvPIK7u7uZY6bwJIVMsXntaJ5rqgkubLGeZLKkd8dDcP5nOcaBR/du3dn5syZJR776KOPiIiIYPTo0QQFBaHX69m3bx/9+/cHICEhgdTU1HL1HhKJpJESGgm+AcIYDEXoQHR6cXEOjYTsTLRdWyE0stZ3+IpOB336C4FrUUltod6iqBSXnv1g97ZzotSiAMXsgRYRLdxHS42jKAthys9jxmNm+l/Sgiee/A6LZSbwHIsWLeLgwYN89tlnRNZxiaQuJckSSXOmRsGH2WymRYsWJR5zc3PD29vb+fjgwYOZP38+Xl5eeHh48MUXX9ChQwcZfEgkTYm0FJHl6NxT/G63if4pZg8hBjUa0BLjhWlXHTpElzAlS4oHW5rIHBSahGE0OU3AALRcS4mxFFXeFI2jvCzEiLAousy/ggeef4h9B/sA49mzZw/Dhg3j448/ZuDAgbUae5mS5GoERhKJROByh9OJEyeiKAqzZs3Cbrc7TcYkEkkTosh8y90dRVdWDCosw9NcYhlekfuootOhxZ8U47BaIe5kMe2JHrx8IDTcaV1eYRbi8D5a5W1l2chgXvG6mS+37wBuJC1tF+PHj2fq1KlMnjy55sr/KkqStVKBkUQiOUedg4+XXnqpxO8mk4lJkybJgEMiaco0sGV4ee6jznHYbXDsoAg6zB6g14tloLNnICNV+IWY3GD7n2WyEJrdJjI4Wem46fVMm7iZS7qc4amF68ixPoqqfs306dPZs2cPs2bNwsOjYjOxMlSrp4trAjSJ5EJD5gIlEklZqmO+FR5V75bhml+gyHrkZotMh6pC+lnISINcC6SlCn+O5NNlshCapol+MLYC8AuE/HwoKGBk/1OsnrqUrqEzgNmAgRUrVjBy5ChOnDhR/cFV0x1V9nSRSMoigw+JRFKGxmIZrmScBVNhr5eMNDibAnm5wvtMUYQgtiAf1v8E2RklsxB5FsjJBHcPoRFRHSKLArQOyeTHJ+Zz5yU9gY1AGIcPH2LYsOtYt25d9QbXSAI0iaQpIoMPiURSLo3CMjw/TwQObTsCGtitoOhAQ2QUAoPB00sEJFkZIrtRhN0uMiUGPTjsQidiOFfW7+ZhZNrQ7/n41WA8PbcDl5KTk8Wdd97JO++8g1qqd42mqmipZ9DiT6KlngGoMkCjZz+hDSl8TWX9cCSS5oTLBacSieTCoTIxaINQtLThUIWGIsgD9DrhPWIwigDD4RDC07gTokNuq/Zi6cVgENvZHJCfC34BJfUrhcsiI0fk0n2QH/feu5b9+59G0+Ywc+ZMdm3ZygdvvIJvq7bYYk+g/rJC9LQp7eVRQbUOUa1g9zZRrVPsNUj/D4lEBh8SiaRyKhSDNgRF7eoP7xXLJp6eYrkFhNlZfq7wI/ENgIx0cDOLLESRZ4i7u1iq8fGDsKiSepBire5bBTlYuTKLac+8wJeLLwbuY/1ff3LtqBv5YtJ4egV4C42Jf1kvD2XIKJThN5UI0LSC/JLGaNL/QyIpgVx2kUgkjZYi7QneviJTkZ8nllJsNlF2a3KDsEghKvXxQ7ni2nPLRMmJ4OUrxKZePmDQV6pbMaXFMb3PbD66ScXDtAFoQVz6WUa+/RkLVv+M6ulTpvOulpMlzNYAJSgUJaqV0HgUN0ar4DWuWIIpvRQkl3UkTQWZ+ZBIJI0aJTwa5bqxaN/NhaR4IRrV6UW2IyxSBBYJcUKL0qkHdOpRNguxe1u5JmZF2YfihmEjrj5Lt577uffjnziY8AgFjg08smk338Qk8fLEcXRvESXGVZGXRwP5f1Rk6y6XdSRNARl8SCSSRo8usiXquLvRVn8P2ZliKcPHX2Q8yqu+KXZRVwAtPLpy3UqpgKFVcCYrn/mVaQtfYv6WwcArbE9IYsRr73PrZf14fMRQQkw6KLBCThZangVnmNEA/h/S1l3S1JHBh0QiaRLoIluijRx37m4/ObHcLEZ5VKlbKSdgcDM6mHHzegZ4ePHkH7ux2P6HxiIW/Pk3P/69g0nd2jK5cyu8DXq0rb+hGYxiDBUYtGmaJsp/LdngcKCZ3ERgVMOOuNLWXXIhIIMPiUTSZKht9U2VF/iKHF3NnozocYAegTHct2E6+1KnAE+Sa9vG+7sO8/WBEzx0cTcmRCTgvm6l6FMTGilEssW69WrZmcLwLCdTBB/evmjbNqG2aI0WewJOHROaFpM7tGyHru+AioMpaesuuQCQwYdEImlS1LT6plraiKKqmmIBAxRezMMiaZWxl2Ujn+WVnZP4cu9W4Afc9U+SXnCCaX/uZO6B4zw+8CJu8g/EcN1YIZIt6tbrZoLTsSLw0TRReRPREo7+i7Z5HWiK8CIp4kwC6umT6K6/tfwARNq6Sy4AZE5OIpFcsDi1EbEx4OUNYRHg5S2CjHUr0RLjgModXZWcTEwduuDWri3Ter3Px1e+jrfxWvIdRzCbZuPnGcDptAyeWLmOa5+fwS9ff4EWEiH8P6LbQPwpYYBmMEFgCLTpBEEhonQ3Mx3yLSLz4u0tsi6aCiePov6+tvzqFWnrLrkAkMGHRCK5ICmjjaii5LUiR1datMP3tnvRDRkFYVFcd202Pz05l+4tUsmzPkCGJY6+4XfjYzJyOCWN/zz3P268ahDbd+9B6Xe5yNJ07A6t2kFIuGiMZ8kRy0A6faFVPMK51WgEbx9hjnZkn9NJtQTS1l1yASCXXSQSyYVJLbQR5WlKlMAQjJGRKJmZoqzXzZ3WLaz88ORCXv/+Ej7fdCk7Ej+nc8ADjAi+m2Ux+9gec4IxkyYz8rIB/K97a0LdjCLgUB0i4ADRk8bNLB4rnuFQFDB7iV41yQkiYCk+dp0Oii/rFBmqWfNF4NFAfXckkrogz06JRHJhUi1thLWMNkLR6ZyGYUpQ6LmLeKmMg8lg58WLPmfeNdMJcM/iYFpvlh/fzNOj53LrwH7oFYVVf27h6s8Xs+DvnahGo1j6MZkgN0cYpdntItgoHSgoJTMapWkUfXckkjoggw+JRHJh4mJtRGldCOlnITuTq9vs5ecbHuHSiH/JtbkzbekdFNi+4LspD9A9yI8sm51ntuxj3PINxKRniaUVX3+x04Jc4dJarOEdGiJL4ukFIREVjyc8GmX4TehG34Zu5Dh0o29DGXaTDDwkTQIZfEgkkgsTF2ojimzMcTig76VCSJqdKTIYqoOwCIVvH17MU9dvQq9TWbatK09+9xIz+t7GC1cPwGzQ8/fpZIZ9u5L3t+6hwKGKjIyG2KfdDqomsiFZGaIqpmN3lCqqeirM0kgkjRyp+ZBIJE2eCn08XKCN0BLiyP5jDY6jB8EqSnUJjYSLLxMbePuCfyAGReHh4X8zoEMcD84dycnUQG7+9V2eHbGOX574iecX/cjvp04zc+selh2MYdoVF3GFl5fIhOTmFlqxauInNAKl+0X1P3ESyXlC0UrfEjQSUlJSsNlsLt2noiiEh4eTmJhY5k5I4jrkPDcMcp4FFfl4KIU+HuU+Hx5VpSuqc9/rV+Jut5Fn9gK3wmWctFSh3zC6QXpqSadRID3Hjf9+OpCfj/YBYHC348z8v5/4c99vTF++lpQcCwDXdWrDi7eMIcKRLzIeFgsYDMILxMevxHE0B+Q53TDU1zwbjUaCg6tXZSWDD4nLkfPcMMh5rrjHCWmpKF4+QpQZHl1jC3MoXGpZsxTiYvDq0IWcHAtinaRw2SYhTrxnQYFwLS2VWdE8vfnmn0uZ9uNQChxGQnxz+OCun+jW4gizVv7Cl7/9happmM1mnrv7Tu7wM6AU5Itmee7u5R7HhY48pxuGxhB8yAVCiUTSJKmJj0ettBGFpbqaf3C5pboEBEJONspFA8utOtFfcz0Tnw1i5YMf0y4oieRML8a/dwsfrx7E8wP68vMjd9OvV0/y8vJ4YfZHPPzDWvIiW6J4eFbqRyKRXAjI4EMikTRNqvDxoNDHg7SU2u2/mqW6io9fhVUnSng0XSb046f/LWV8n7/RNIUP1l3BuMX/xXfIFJat+omXnnoCg07H8v1HuHHmHOLPprv2OCSSRogMPiQSSdOklj4e1aYGpbqVZVaU8Gg8bxjNzHkm5sw4jLeXg+3HIhh6e0/WrDEz6eYbWfB/NxDo5cn++ARGvP4eW47EuO44JJJGiAw+JBJJ06S+e5wUluoq6Sl1LtUtCk5G3+XN2l9S6d3bSmamjnvuCeCpNzrQo0VHVj12L92jI0nLsXDre58yb+Of4n1krxbJBYgMPiQSSdOknnucFJmK4eWDPfZEiWZzJMTV2sa8ZUsHy5al8sAD2SiKxsJlQVz32VOkng5n6RNTGNOvNw5V5cXFy/nvN99jjY8FD0+hcZG6D8kFgvT5kEgkTZKG6HGihEejXH09pmP/knf0oHA1NZqEjXk1SnUrwmSC557LZtCgAh5+2J/jSf6M+fJxnhj0E7PG2ugaGc6rP65h0ebtHI+J4f0bhhKRa4GwKHBx6W1tKoFc8VpJ80YGHxKJpMmihEfDkFHg9PFIc0lwUOI9IqLx7n0ROfv3ouXluvQiO3CglXXrkvnvf/1YvdrMGxuv548TXXhnqIX2V6fywO872XYmjaHzf+TlMddxY0E+urQUcFHpbUUeKdUJcOryWolE+nxIXI6c54ZBzvM56vMOvCHmWdNg8WIzzz/vS26uDh9zHq9fM58uvY7x2PzF7DoZC8DwXt149ar+BHXpJipq6nCM1fVIcfVrK0Oe0w2D9PmQSCQSF9AUe5wU9YvR4k/C2TPcMtbC2rUp9OxqISvPzJQVk5nz6x3Mf/ARnrp+GAadjjW7/+WazxaydsNvdSq9rYlHiitfK5EUIZddJBKJpAEonp3RsjLQjh+BM6dLLFm07tOfHz9VefvpLGb/NZTFW7rz97EoPrgrhMHdOvHol4s4nJDEpIU/MjargGkz38bHx6fmg6nCI0Ur9BZR0lKgdHO7urxWIilEBh8SiURSB6qz5FNCH5GdASlnQG+AVm0hLAIKCtBiYyAtBUPfS3lq6Eau6JnIIwtu5FSKP2Nm3sbjI1uy4r9hvLN8JZ/89hff/7SGv3bt4eOPP6Zv3741G3S1PFLSyvcWqctrJZJCGn9uUiKRSBopWmIc2pqlqMsXoK76DnX5ArQ1S9ES40pus26lCC48vcBmA00VPwmxYMkpuWRx4giERnKJ/07WTv2SUX0P4VB1vLXicibMvo07ul7NkqcepmWLFiQkJHDzzTezcOHCkuMqtqSjpZ4puwRSF4+U+vZXkTQLZPAhkUgktaBEUOHlLTIYXt5osTHi8cS4MvoIACw54OUD3j5gLYCk02iadq5fTNJplDYdULx88M04xuzbvuOdO1bh5VbAtmPRDPv8GeK9HmLtL78yfPhwrFYrTz75JM899xx2u71aAVGdPFLq2V9F0jyQwYdEIpHUkGqLLlPPlNRH2G2gOsBgAEUBdw/IzoQ8i9hx8X4xQ0ahtGiLYsnhppa/sub+t+nTJpGsfDOPvNiOJ5+M5vXXP+Opp55CURS++uor7hg/jqxVSyoNiOCcgZri5QMJcTUyUKvLayWSIuTZIZFIJDWluk3tkhNK6iMMRtDpwW4Xv+v1oKrnfi/eLyY8ukTDutZ3DWPZegdPPpmFwaCxapWZoUPD6NHjaebOnYvZbOb3LVu5ac48Ety9q6xCUcKjnQFO6Y68ytWVl8rW5bUSCdRQcPrLL7/wyy+/kJIiSryioqK4+eab6d27NwBWq5X58+ezefNmbDYbPXv2ZNKkSfj5+bl84BKJRHLeqK7oEs7pI8we4sfLBzLTwOALDgfodGAwnFuyaNkWAoLLFbIadToeeyyHwYMLePhhP44dMzJhQiATJtzC1x+6cf/D93Aw+Syj35rNlw/8h27RkUDFVShKeDQMjxSP1dAjpS6vlUhqFHwEBARw2223ER4ejqZp/P7777z55pu8+eabREdH89VXX7Fz504ef/xxPDw8mDt3LrNmzWL69On1NX6JRCJpeIqLLs0eZZ8vymCERKCERYllj4hoEQSER4lllqwMITr1DxSvKbZkwZnTlbqH9uxp4+efU3jtNR/mzvXi6689+WPjGGYMP8isPz/jSOIZbp71EfMfvJuLI0LEco9OB7aCMlUoik5X65LYury2IpxiWRe7yUoaFzX6i1500UX06dOH8PBwIiIiuPXWW3F3d+fo0aPk5uayYcMGJk6cSLdu3WjTpg1Tpkzh8OHDHDlypL7GL5FIJA1PNUWXSlBoGX0EHp4Q0UIsuaCA3ggWi3PJAqhSyApgNsO0aVksWpRKeLiDU/Fm7l/yMld2+IJL2rfFUlDAhPc/5e+NG+HIfjiwF5IT0bIyGniyqo+WEEf291/iWP5txWJZyQVBrX0+VFVly5YtFBQU0KFDB44fP47D4aB79+7ObSIjIwkKCuLIkSN06NCh3P3YbLYSNuqKomA2m53/dyVF+3P1fiUlkfPcMMh5bhjKm2dFr0frMwA1PQUS49D8g8RSS0EenElAcXdHad0eRVFQIlqgDbkeddcWkcnIKOw/028QSpv2KD7+zjt8AHXNErBkQUSLc+9pNqBFeEBiLNquv1HCopzZgCuusLFhQwpTp/qwbJkHn/5+HV3COtIndDA7z8Ryx89/8uX1VzHAxwwOB9qOv8A/CCWi4XQZ1fJCSYhDW78Sq92K4uWDZiq0bI+LQUtPQbn6+gYd84VMY/juqHHwERsby9SpU7HZbLi7u/Pkk08SFRXFyZMnMRgMeHp6ltje19eXjIyMCvf3ww8/sGTJEufvrVu35o033qi2P3xtCAsLq7d9S84h57lhkPPcMJSZ5/BwbMHB5G3ZiC3+JI6kONSMs4CCzmREv3srxtQkzAOuwti3H1rvi3CkJKHm5aIze6APDitzAbafSSAz8yy66JboPLzKjEHVt0TNTMXXoGAIDS8+FJYuhUUfnWHKk94cSGqLSbeXtv5XEJO+l4krNvLt9VcxaPBgtMwMTMf24937ogZZzrDFnnDOkWYtQDG5YYxqJealRWtABCfZf6zBardiaNEa72IXRS04GHvsiQYdc3PhfH531Dj4iIiI4K233iI3N5etW7fy4Ycf8vLLL9d6AGPGjGHkyJHO34sisZSUFOxFCnAXoSgKYWFhJCUlyaZF9Yic54ZBznPDUOk8G93RLrsW7eBe1D9+Bg8vCI0Cd3coKEDZv5usU8fROe/aFXDzBBU4c6bMe2nxp3BkZoLZCyU7p+zzDgdkZVIQewpFLXvXOugGWBe4hSef9GdjXB9i0v/Gz20IGQV/cceqP/iuQ1d6hASQd/QAOfv3otSz/bmWEIe6fgXkZKH5B4OvV7nzoqWewXH0IIqXD96KQk5ODsWnWjN7NtiYmwP19d1hMBiqnTiocfBhMBic0VKbNm2IiYlh9erVXHrppdjtdiwWS4nsR2ZmZqXVLkajEaPRWO5z9ddBUpNf1g2AnOeGQc5zw1DRPGuaJlxJNQ1atS+2VGJGc4+GhDjUXVtQQiOqvGvX3NwLhaz5FQhZ88BgEttV8DcPbWXmyzu+5NuD8UxfOYyMgnXodcOwWH/njtmfs/Sx+2iLTQg6a3HeVLeDsPBC2YKWXeiFUsm8kJcLVqtYaqFoWMXGZnKD9LO1HrOkfM7nd0ed81eqqmKz2WjTpg16vZ59+/Y5n0tISCA1NbVCvYdEIpE0earr+VGdLrSucA91N6O4ufF/l+1m7fPzuajNWRzqCqAvaTkWxr83l9OW/FrZn1fLPbWImsyLtGxvdtQo+FiwYAEHDhwgOTmZ2NhY5++XX345Hh4eDB48mPnz5/Pvv/9y/Phx5syZQ4cOHWTwIZFILlyq5flhrVajNZe4hxYLYFoFp7PkiUVMvXEnJv1KoCNnsjIY9dlPJNdwVbs6dvIlqMm8FI5ZSU+Rlu3NhBotu2RmZvLhhx+Snp6Oh4cHLVu2ZOrUqfTo0QOAiRMnoigKs2bNwm63O03GJBKJ5IKlup4f1bxrV8KjYcgocPp8FFbHtGwrAo8q3EMVnQ769BeZh4Q4dAGBTB78N1e3/5eHv5zLv2duJzX7FJdfMZFVq5bSoYNnpfsDsYSi7tgCackiANA0UHQoZg+0iGi0hDjYtRVCI88FRjWYl6Ixa+kp2GNPoJk9xVKLNV8EHtKy/YJD0RrpYnFKSkqJElxXoCgK4eHhJCYmyjXyekTOc8Mg57lhqGqeNVUVSw+xMSW1DRTetSfEicBh2E01unhWV1tR4esT484ZlVkLQFVx+AXz5j+X8NHiu4AkDIaRvP76PMaPt1JZ1aV6YDfaknmiI6+iCIt4Lx8Ij0Lx9hGZmZwcdKNvcwpCazUvifF4HfuXzKMHwVporhYeVa2gS1J96uu7w2g01p/gVCKRSJoDzot/QT52nYamapR3hS6dadACAsWSQh3v2uvqHlpkf86hvWh7tkF6KvqsszzbbT3dfO/lwc/fwG5fxZNPzmL16v/x5psZhIerZechMQ7tj7WiAZ5fIBiNohdNZhrkWdDadBTGaba0EktLtZkXJSIa794XkbN/r3Q4vcCRwYdEIpGUokTWwGYl09cX1Tewwjvwui6V1BtnTsOOzZCTBYEhQn9RUMCo0FRsY4fz6OIfgdfZsKEHgweP4+WXMxk7Ns8ZYxV17yU/Dzy9RfClKCIAMfiKgCQpHiJblru0VJt5UXQ6kT2R2bwLGhl8SCQSSTGcwsqcLAgIAjd3dEY9xMagnU2BIeV3bW1sjdaKAgctp3Spq9Bp3AgcHX41H65Zj6L8h6ys9jz22EWsWmXmzTczCAtTz1WshEWKbEdWGhh8CoMQsS+yMsFwGqV913IFoY1tXiSNA/nXl0gkkkLKXLAL29LrPLzQwluUaUtfmqK7diWqlfj3fF5gq1Hq+uQlPbn68svQtHy8vUdjNCawfr07V10VwoIFHmh5hRUr7u4QHilEoDlZQvuhqqBqkJsNbuZKl5Ya1bxIGgXyDJBIJJIiXOnZcb6pRqmr3mFn9ksv0r59e7KzE2jf/np69MgmK0vHU0/5Me6h7pzMCheupN6+0LoD+AQIAaslBwpywdsX5YprpSBUUiNk8CGRSCRFuNCz47xTTeMu76Ag5s2bh5+fHwcO7KBjx0m88EIG7u4qm7d7M3TOE3zyUw9sdkQA0r4zdOoO7btAYCj0HYjSqUe9HIKmqmipZ9DiT4p/K8g4SZoeMviQSCSSIi4kp80auKW2bt2ajz76CJ1Ox/ffL0avf4/161MYOLCAfJuRV9bfwA2vjuVAjKdYblEUyMlGCQpB12dAvSyj1MhNVdLkkMGHRCKRFOEKe/NGQk3dUq+44gr+97//ATBt2jROndrAd9+dZebMDHy87OxNbMmIt+9l5qJeFGTkiYqVq8sX39YVLaGGbqqSJocMPiQSiaSQii7YqiUHJTG2yTltKuHRKENGobRoCzk5cCYBcnIqDBzuvvtuxo0bh6qq3H///Zw4cZxbb81l4++pDBuWh13V8/6f1zL865f4J/DW+gk8VBV115Yyol/F7AER0VWKfiVNA+lwKnE5cp4bBjnP9UcJnw+7FQ8fX/J8g1B6X9IkhZU1cUstKChg7Nix7Nixg3bt2rFy5Up8fHwA+Oknd6ZO9SUlRY+iaNx5p4VnnsnGy8s155+iKATrNBI/ewc8vUXAUfpYynFTldSMxuBw2jTCd4lEImlAlPBolOE3oRt9G/qR4/H9v/vQDb+pSQYeULNSVzc3Nz7//HPCw8M5duwYDzzwAA6HA4ARI/LZuDGZceNy0TSFefO8GDw4mF9+qUCgWwvUvFxhrX4hiH4lFSKDD4lEIimH4hdsQ2hEk1lqcQUhISF88cUXuLu7s2HDBl544QXnHbK/v8bbb2ewcOFZoqPtnD5t4K67ArnnHn8SEqqeo6oqWHRmDzBdIKJfSYU0n0+TRCKRSKpNjx49ePedd1AUha+++oqZ018uEShccUUBGzakMGVKNgaDxurVZq68MoS5cz0pTJQ4KQo41F1bUZd+ifrjtxVWsOiDwxpM9CtLec8fMviQSCQSSRm0xDhG6AuYMeJqAN795DP+d+f/YY8/6dzGw0Nj6tRsfv45hb59rVgsOl580ZeRI4PYu9fo3I+2Zinqos/QFs+Ff/6ElCTRK6acChZFp0PXe0C1q3TqcnyylPf8IYMPiUQikZTA2d8m9hgTBvRl6vDBAMxd/zuT7ryTnJjDJbbv3NnOjz+m8vrrGfj6quzda2LEiCBeeEJH1qpf0E4dE7bsBiP4+ENuDpw8KvrFlFPBokTUrEqn9scnS3nPFzL4kEgkEokTZ3+b1CRx4T95jMkRPswe3A83vY5fDx5l9K23c/DAgRKv0+lgwoRcfv89mTFjclFVhS8WhTF41kOsib9M9Ikp0nN4+wqL9qR48eJybOuLi351I8eJ6pZhdRf9VtS/R5byNiwy+JBIJBLJOdJS0I4fgtQUOJss3Ew9vbi+c1sWDR9IkLsbh04nMmLECObOnVtGlxEcrDJ7dgbffnSMlgGpJGX7Mfmrcdz9y9PE54aIjYo64mZnQV5uhRUsdWlIV6GeoxH272mO2hPD+R6ARCKRSBoPamwMnDgiyl0NBlFdkucGXj70bduatV5mnvprDxvizvDiiy/y66+/8sorr9C2bdsS+xnUJ5lf7/2YD3bfyMe/XsK62H789XUPHrlkOZP6rMWk10DNA7tNBCMurGAp4dNis4LRJESsffqDw1GN/j1pDVbKW9lYa5rlqYmfy/mmcY5KIpFIJA2OlhgHmzdAQT4YjWByA70eCvIg4yxYCwj29WHelX2Y/siDuLu7s2nTJq6++mpeffVVsrKyzu3M3Yy7h8JTQ9fx83NfcknkYfLs7rz+1ziu/WYGf5zsJNZqrFY4HQu+fmh+gS45hkr1HFkZjaZ/jyu1J01NQCuDD4lEIpE4tRDOi6+miYyETg9GN3DYhWjUakVxM3PnreP49ddfGTx4MDabjQ8//JBLL72UTz75hPz8/BJ9ctqHp7H44W94e/CHBLlnEJMewf+teI771j5Kwo4ESDkDSafR1i7DFnuizsdQqZ7jxBEIjTzv/XtcqT1pigJaGXxIJBKJpJgWIkRcwHQ6IQpVC007dDqwZIv/B4eimD1p06YN8+fPZ968ebRr14709HSmTZvG5ZdfzuLvv8fR4yJnyaxiNHDz0AQ23vEUd3X4AR0OVsdezlWrPufD5Iew+kdAbAzZKxaiJdTyYlkNPQdJp1HadKj3Ul5XjLU62pOmKqCVwYdEIpE0IyoUN+bnCc2Brx/4BYGbO7iZz2kkVE2Uynp4obTp6MwMKIrC0KFDWb9+PbNmzSI8PJyEhAQef/xxrplwFz/rvSG6jaicseTgG+HDy8OWsWb8VC5ufYo8uztv/HwtQ2dO4ff0y1GzMlFre7EsOoYqrNkVH796LeV15Vir1J40QgFtdZCCU4lEImkmVCrEdDeL5RarFcKjIM8iMh8enoAihKH5eRASWm5mwGAwMH78eG644Qa+/PJLPvjgA44ePco9Tz1D7969efaB+7m0e1eRafh9LZ1bebD0iu9Ztq0LrywbxPHkAP5v9lhG9enJc1d9T3S/FKigcVyFwsqiYygoENU0pSmm51CCQmF4JMr5EmjWYKyVUq0gpuEEtNVFZj4kEomkGVClLqAg36nRwMsb2nQE3wCR8bBZheg0PApl+NhKMwPu7u7cd999bNmyhYcffhiz2cyuXbu4ZdK9/N/TU9kVc1IEMm5uKArcdMkBfntpLndftQO9TmXlzg4Mfv9JPvg4gPz8Co6jImFlMZ1JdfQcdSnlrTM1HGuFFA9iyqOR9sKRwYdEIpFc4FRHF8CebdCrn1MLgUEPbTpAq3bgHwjtu6Lccje6yJbVek8fHx+efvppNm/ezMSJEzEYDPz2229cf/e9TFy0kt1HYs5ta7by0i0bWfPs1wxoF0+ezY03PmrJVVeFsGaNO0XX5qoCKM6cRunT//zrOaqBotO5ZqyuCmIamPP/F5BIJBJJ/VJNXYDi5l5SC5GcCA4HSqce6EbcUu3AozghISG8+uqr/P7774wbNw69Xs/Goye4/r3PmDh7LrtOxjq37RSZwvI7P+D9u9cSGuogNtbApEkB3HJLIPv366slrCQ08vzrOaqJEl53G3mXBTENjKKVDpUaCSkpKdhsNpfuU1EUwsPDSUxMLBMhSlyHnOeGQc5zw3AhzLMWfxJ11XcQFoGi05d93uGAMwnoRo5DiWpVr2ZVJ06c4P03XmPpT6txqGI+B3ftyKNDLqe3jxmPkHDyB1yNxSea2bO9+OQTLwoKFHQ6jVv7bOXJ6/8iqJybeC3PAjk5woY9KLRJGW65Yqzl6nnCo0TgUSqIqa9z2mg0EhxcvQyLDD4kLkfOc8Mg57lhuBDmWUs9g7p8AXh5i0xB6edLXbgbguPbNvP+W2+xbOv2c0FI9y5Mn/EKrS++xDnXcXF6ZszwYdUqoVnwMefz6IgtTBy0C5PhXEVM6QCqMppSYFITqntcjSH4aPqzLZFIJJLKaYS6gDb9LuWd75by2/IfGDtiODqdjg37DjBw9BgmTJjA9u3bAYiOdvDJJ+ks+eIIXcNOk5XnzrQlV3HN9DtZv6+NUw9SXWFlU3MCrQnnVUBbQxrvyCQSiUTiEhqrLkDR6WjT52Le/fRzfv/9d2655RZ0Oh3r16/nhhtu4MYbb2TdunWoDgeX9M5m1eOf88a18wnytnA8OYA759zIhNk3cTghoMoASlNV1AO7RbBxdD94ejUJJ9ALFbnsInE5cp4bBjnPDcOFNM810QU0+NhUFSU9lfTUVF754EOWrPrJeQ3oGBHO/f17MSo8AGPmWbId3rx//B6++OcqbA4DesXBrZf8wxMvGwjpFl5234lxqDu2wM6/IDsTPL3ByxfCI1G8fcXfNSFOCD2H3dSoMwauoDEsu8jgQ+Jy5Dw3DHKeG4YLbZ4bo97BGRzExuCGSgE6krwDmbt9D9+sXI3FagUg0svMvR2jGRfii4dBx0lbW2bsf5Bf4gYA4Ompcv/9OUyebMHDQ3PuW1u3Ei0tGVKTxTErCuTnisZ5rTuIAOQ86F7OF40h+LiwwzuJRCKRlKCx6QK0xDjUFQth+x+QGIstMR5ijxN2aCdT/XVsueN6/tuvG0HubpzOyeN/O44wYP0u3jlyGl+3WD6f8C2LJ7xHz6h4LBYdM2f6cPnlISxc6IHdVszfJCBYBB1Go/jx8hEOrkmnxQW4unbmEpcggw+JRCKRuIQK+8ZUsr36+1o4eRQK8qEgHy0vV1i7Z5yFM/H4ZZ3lwW5t2PyfG3nlkq608HQn3WrnncPxDFi1memr19OqUwrLJ77F7HvWEB1tJylJz5NP+jF0SCAb/vBE8w8SYlSdHux28eaKAu4eYhkmz9JonUAvVGrU2+WHH35g27ZtnD59GpPJRIcOHfi///s/IiIinNtYrVbmz5/P5s2bsdls9OzZk0mTJuHn5+fqsUskEomkkVBZ35iK9CRa6hk4sk80r3M4QHWguLmh6fVg1UNOpuik6+mNu6IxoVUot7UOZ/XpFD769zj/pmfz2e5DfLXvdW6+uBf39c/lt2XhfLWyNe+/783hY2YmHpvEwO0nmXrj73TzOgWZaWDwBQXQ60FVwWaDnGyUlm2dglVXLk81xqWu802NNB+vvPIKAwcOpG3btjgcDhYuXEhcXBxvv/027u7uAHz22Wfs3LmTBx54AA8PD+bOnYtOp2P69Ok1GpjUfDRd5Dw3DHKeGwY5z1Xj1FXkZEFAkGhyVlAAaakoXj7CxbOcAET9dwfa/A9BU0W/F5M7Or0etTAQIStT/OvtA/7B4gJuMgEKmsPO7/HJzD4Sz7YzaQDoFIURV1/FA0/+l+joHrz/ho553wZidRhQFI0xvffwVOdPiXRLEM3cVA0KciEwFCUoxOkqWlEgpVQSSFU6Ny7al6tocpqPqVOncuWVVxIdHU2rVq144IEHSE1N5fjx4wDk5uayYcMGJk6cSLdu3WjTpg1Tpkzh8OHDHDlypOZHIpFIJJJGTXX6xmi7tla8BKOq4qJsMJZ8XKcHQ2FyvsAqghBFEdsDit3OldFhLLn+Sr5/4E6u6tQOVdNYuW4Dw4YN4777xjHo2vVsmDaf0V3/QdMUlu3sxZXfvce03fdzNsMNMs+KpZb2XUoGHpU14KtBOa4r93WhUaNll9Lk5uYC4OXlBcDx48dxOBx0797duU1kZCRBQUEcOXKEDh061OXtJBKJRNLYqKJvjFbUNyYtBUpXkYREiGWIDIuoPCmOpoFOB4oOHHYRfBhNYulCUcSSicEI3r5c0rYTl/h7c0hv5qO9R1mxYgWbNm1i06ZNdO/Ukcm9OzPxokt4689xbIlpzec7r2XhvkHcM2Aj9z6ux6dvFxSdrmwgVXQ8Zg+0iGi0hDgo6h9TxbKJK/d1IVLr4ENVVb788ks6duxIixYtAMjIyMBgMODp6VliW19fXzIyMsrdj81mK7G8oigKZrPZ+X9XUrQ/V+9XUhI5zw2DnOeGQc5zFRTki8yFmztCSFEKkxnsaSgF+WXmUBcchqNtJ9jxl1imMZrQdDqh/7DbRPARGAx5uWCxiIADDTREVsTDE/wDUZLiwduXrleP4sPJ0Tz77LN88sknLFiwgH2HDvPgocMEea/jll4/MLbrCOb9cxf7EqJ594/hfLVP5aGHcpg40YK7JRX1TLzQZCglAwIRSAWhJcWjS0+tuhw33YX7cjGN4ZyudfAxd+5c4uLimDZtWp0G8MMPP7BkyRLn761bt+aNN96o9rpRbQgLC6u3fUvOIee5YZDz3DDIeS4fu04j09cXnVGPzsOrzPOqJQfVxxffFi3/v707j46ySvc9/n0rlZGQOSGRQEKIkVZBwQvSDgdsh0bFAQUV7dNXJvtctB1p7OPUwhJdaKurB2w9CtKIgKggYAPdwNWriIoCKigNMgeSQBgqIfNQ+/7xkoKQIBmq3krC77MWC+p9K1Wbx5I82fvZz8bdpWEDsKq77uHQvl3U7M+3ZzeqarEM4A7BFZOEO6kL7m6Z4HJRvfNHvKVHMZWVWO5QQuITCYmMJPTsc4n8+WBCu/cAIC0tjf79+zN16lSmTZvGq6++Sn5+Pq98uhbL+oqrB33EL0fex+IlN7F1q5vJk2OYPj2Gx+8NYRhuIhITsUIaOYAvKpKaijJiOkcTltbw71Lv71VZSnGIC/ex1zLGYEpLMDXVWO5QSEiktomvFSjB/Ey3KPmYPn0669evZ9KkSSQmJvqux8XFUVNTQ2lpab3Zj6KiolPudhk2bBhDhw71Pa7LxAoLC6mp2xLlJ5ZlkZqaSkFBgQrHAkhxdobi7AzF+acZr8Ebmwh7tmPSutf7adoYg5W/B7pnU1ljsPLzG75AeBTeG++ExXPBcwgrNAxviBs6RVMbEYU3Jp7qjLPx5u6060DCIuzupMlpeHPOo6ZbDyoTkil1uaCR1x83bhx33303K1eu5K233uLjjz/mX8d+demSypAhY9iw4bfs29eF8Y+l8ELiwzxy3SfcMHAXJ6+GmPJSqK2l6mhJ43+XE597tITaWi8cOmTP4uTvhZJiO8FyhUBEBETHNOm1/C1Qn2m3293kiYNmJR/GGGbMmMHatWt5+umnSUlJqXc/KyuLkJAQNm7cyMCBAwHIy8vj4MGDp6z3CA0NJTQ0tNF7gfof3Rijf0QcoDg7Q3F2huJ8CpaF1Xcg5lAh5O3BJCTaCUJVBRw+BJ1jsPpeDJZ1yvhZffpjJabAmv9LqOcgleXlEBWNdVY3SM/EfPuV/Y07MeX4TppDBzAbK6DLWfYyxk/8t3G73QwZMoQhQ4awe/du5syZw9y5c9m/v4Dly6cQHv4i/frdzvbtj7DzUG/ue+tW/vbRfibc+BlXnr8Dy6o7gO8gVkZPu2/IaT4LJj4Jq0s6ZstGe7twdaXdV8QdAtW1cOgA1NbirSjHFaTPVTA/083aavvGG2+wevVqJk6cWK+3R1RUFGFhYYC91XbDhg2MHz+eqKgoZsyYAcAzzzzTrIFpq237pTg7Q3F2huLcNH45N8YYUtwWB/bsxoRHYOIS4Z8L7d0iJxZtQqvPY6mqquLDDz/k9ddf57vvvvNdz+w2iP0Fj1BePRSwuCAjj4eu/ogrunyJKybGtyumKbz7dmNm/tlumBaXaBfI1tbYNSxhYRAdg3VOb8fPk2kLW22blXzcdtttjV4fP348gwcPBo43Gfvss8+oqalpcZMxJR/tl+LsDMXZGYpz07W2mdbJsTYH9+NdNAeiO9tbd09+Pz+cx2KMYe3atbz++ussX77c9984Nqo7pRX3UuMdAyTSt0c+Dz9UxBW3xNDUOk1zcD/eea/D0WK7MLduyaVzDKSm27MgQThPpi0kH81adpk/f/5pnxMWFsbYsWMZO3Zsc15aRETaOcvlaridtjUqyo/tpAlv/H5YBFQfbtV5LJZlcfHFF3PxxReze/duZsyYwbx58ygq2QM8SojrKQzD2bDzv/jP+y+l38xqHnnkKIMGVZ4+Cakot2c7ep1vLxXVVNuPI6PspaLa2laPv7068zYXi4hI0DXpHJiISLu3R2Vl4y/i5/NYMjIymDRpEuvXr+f555/n/PPPp9Zbidf7NnA5ltWb9etf5a67XNx0UxKffBL+06UfdeOvqsKK6oQVE2f/Xpe1nMHnySj5EBERR5n8XMyy9/EumoP3w3fwLpqDWfa+3XjrRAnJ9vkwhw82WB6wC0APYaWl+85j8ZdOnTpx1113sXz5cv7xj38wcuRIIiIiMOZ74AHgLNatG8fIkZu4+eYEPvkkrPEkpBnjb+6hfO1dqzqcioiINMepzoExe7bjPVJIdXIyhNpnhVkuF/QbaHdRzcttsJPG6hxjF7QGqFjTsiwuvPBCLrzwQp566ikWLFjA7Nmz2bx5MzALmMXXX2cxcuTdnHvu7fzud4lcffXx5Zimjp/9+5p9KF97p5kPERFxxOnOgaGkmPLPP673U7+V1s0+mK57Tygpgf15UFJi73Jpxs6T1oqJieHuu+9mxYoVLFq0iDvvvJOoqE7ADuApfvjhHEaNuomLLnqft98upba2aeMH6p//0iUNQkIwW76zZ4X27Xbk7+e0Zu12cZJ2u7RfirMzFGdnKM7+c/rdK2VEeWuovOYWSEypt3vGHDv7xaqqbDPH0peVlbF06VLefvtd1q79DLvvO4Cb6Ojbuf/+CYwbl0JYWOM7gQB7uenYVmJKjh5vRlZbY8+QdEnHun0Mrq4Zfht3W9jtopkPERFxRhN2r5iqKjvZOKkuxCyZB1+thpAQrKQujiQep6vDiIqKYvjw4Sxc+A7r1n3N7373B1JS+gA1lJS8zbPPDuC88ybz8stHqKh02eNOzzw+/hMO5aPkKOzYAkWH7R4gnWOgU2co2ItZ+m6HOwFXyYeIiDijCbtXrLAwTPGRoB9Ff8qi2FO8d2pqKg8+eA8bNizjvfeWkpV1BVBNWdlr/PGPfTn//Mk8++wRiotP2J9bl4yFhdkzHlWV0DkWQkPtk3vDI+w27EeLMBu+6FBFqEo+RETEGafZ/WEdOYi7ayZmx1ZfXQgRkce/ScclYBz4Ruwrim1B8mO8Xgaenconc5/h7VdfJyvrcqCaiorXmDatL336PM3EiR7y8lzHk7Eij73UEhlV/2Dg2mNNyRKSMPl77WWbDkLJh4iIOMJyubD6DcSKjoG8XEx5Kaa21u5UmpcL0bGEnXMeZv++Y0sRxfDjZvj3Rtj6PWzZCMWHMTu2BOwb8emKYk1J8SmTn5NnSy4/sIX/9/tbmfvK38jOtpOQ6ur/4e23L2TAgKcY9/sI/l1zgf13qa0B9wkbUI2BijJ7JiQm3k6+OlAzMiUfIiLimJ/a/eG68gZC4hOhqspegti5FYoPQ1g4REfbv5eWwr7dmNydgRngCXUY1kktTC3LgoTERmchfmq25LLivXw87wXeffd9fvYzOwkx5nWWLevDNZNXMfzdYazZk4MpLwevF6qr7cQrLBxSu9qH0nWwZmTq8yEiIo6y0rrBtV2xTj4HJiQEl8vYNQ/7dtsJSHQMvsYZoS4wkVBcgdm+GXPBAP8XnragpXuD2ZK68UZGYc7qZjdP2/AFPx9yKytXzmPt2rVMmvQy33zzCTCTtXtmcseea8nsPIJHLirk+p5f4Y5NsBOPY7NEVkZPvzdTCybNfIiIiOMsVyO7P4CQ5FR7meHwQQiPot4BKgb7m358EniO+HXpxbezxXPIrrWoqGj8iY21RG/mbMmAAQP4xz/msmTJEv7jP67FLvRYxq6jo/ntx29x0dzLeW3HrZTURNmJR+cYuGCA/T4dpAOqZj5ERKTNsFwuXGefi3f9GigvBasThLiPH0UfHg5dM6C0xG81ECY/93iH0apKOLQf9udhcs7Diok9/ry6lugnz0K08AC8fv36MXfuG+zcuZNXXnmTd+fPpbpmE0fKHmDKB8m8sGQswy+5gfGjIOObtXg7UAdUzXyIiEibYnXrYScYnTrb9R+lR+3f4xKgxzn21lQ/1UA0qNVI6wpdM+06i+/XYw4W1CuKbbSleysPwOvRowcvvDCZb7/7mt8/+iRxMV2BQqpqn2POp0O5bPRsRjzThTX5vTFdnN92HAhKPkREpM0wXq+9pJCYYm89zTnP/tWrN2T/zE4Q/HSg3Cl3tiR3gfP62QWfe3dDwb6fbunupwPwYmNj+e39/8W3G9fwt7+9SnZ2f6AKmMUXe0Zyx9/+ysAnInhrbR8qknr85M6btk7LLiIi0iaYvFyOfrIM74+b7d4XB/fDkYPQvac9C1JR5t8D5X6qViMmFvMzexusdfnVdnJxipbu/j4Az+12c+ONN3DDJQNY99cX+fNnW/lo8zd4zVfke77i8XlxTH5/NCMHXsH/GfA9XQcUQlKX1sXCYZr5EBGRoDP5uXhXLaZq+xboFAM9sqHnOXaR6Y4tsHub/w+UO12tRngEuEKw4hJP29I9IAfgVZTTNzWRN++9lfVTH+Oh628kLioN8FBZ/RIzP72dgS9u41e/KeGLL8JoT0cPaeZDRESCqm75g5Ji3DnnYpWUAgaSumASkmHXNuhylv1N3J/nupxYq9HIQXenq9U42Sm3ELd0vCeML7FzNA8PvZwHr7uUf377b15Y/CU/FvyA4e98/MXf+fjWIaSnP8hvfjOA4cMriIlp25mIZj5ERCS4ji1/mPjkhssfLpddBFpWam/P9Wdfj1bUapzq0LlTbSH21/hcLhfX9j2XVU/dzaJRI7j8ZwOwLBewnL17h/Dkk1dywQWrmDAhik2b2u78QtsdmYiInBlauFW1tVpaq1Fva24At76ebnz9euUw995H2FPlZdq015k//x2qqzdQVfWfzJ3bjblzH+SCC/43o0a5uOGGciIi/Da0VtPMh4iIBFcrt6q2RnNrNVpz6FygxpeRkcHzzz/D+vVfMnHiROLikoFc4BG+/bY3Dz74T/r168LkyTHs2BHi1/G1lGVOnmtqIwoLC6murvbra1qWRVpaGvn5+Q2m2MR/FGdnKM7OUJwDz3i9mGXvQ+52onPOpaSu5oNjyx/H2otbQ271fzv1E8bAaWo16sZp9myv30bdgXE2ZXx1KioqWLhwIX/601/Jzd117OpVwOtAJpddVsl994Xz85/n43b77zMdGhpKcnLTtj9r5kNERIKq7rRbomOo2bOzwWm3fttae7oxnK5Wo4WHztU5VZ2I38Z3TEREBCNHjuTjj1cxYcIEwsPDgZW43RcC81m9OpwHHmjyWweEaj5ERCTorLRuWFfeSNi2TZT/uBmOHLJrKTJ62olHW2gj3oraFKfqRE4UERHBQw89xM0338wDDzzAunXrgNvp0+df3HnnK4SGErTtuUo+RESkTbDO6kbnvv+Lku+/w5SXtX6rqr+1cGuur06kpBgSkuzkpbLSXr45XAhX+alvySn06NGD999/n5deeom//OUvfPfddB5//Brg8oC95+ko+RARkTajbnmhTXbMOrb11ezZjmms5qORQ+catHCv+5rIKMxZ3TB5ubDhC+jSNaBJVmhoKI8++ij9+vXj008/ZcSIERQUFATs/U5HyYeIiEgTtGhr7mnqRMyxOhHrsDMt0q+++mquueaaBmNxWhuZyxIREWn7mt1GvUl1IlV+72HS1mnmQ0REpBma1Ubdzy3cOwolHyIiIs1kuVxNWyZpQZ1IazWnJ0iwKPkQEREJkJa2cG+pYGzpbQklHyIiIgFkpXWDq24AX1JwOCA9TIK9pbc5lHyIiIgEWLPqRFqgWVt6Q4J/vouSDxEREQc0uU6kJZqzpTc5NTBjaIa2VYEiIiIizdfOtvQ2e+bjhx9+YPHixezcuZMjR44wYcIEBgwY4LtvjGH+/PmsWrWK0tJSevXqxdixY0lLS/PrwEVEROSYdralt9kzH5WVlWRmZjJmzJhG7y9atIhly5Yxbtw4nn32WcLDw5kyZQpVVVWtHqyIiIg04tiWXg4ftLfwnsC3pTct3a9beluj2clH3759ueOOO+rNdtQxxrB06VJuueUW+vfvT0ZGBvfddx9Hjhzhq6++8suARUREpBE9zgbLgl0/YspKMbW1mPJSyMv1+5be1vJrwemBAwfweDz06dPHdy0qKors7Gy2bt3KpZde2uBrqqurqa6u9j22LIvIyEjfn/2p7vWC3dO+o1OcnaE4O0Nxdo5i3TImLxez4XO74LS8DI56oOgIxMRDTCxWRjauvgOxzrK32baFOPs1+fB4PADExsbWux4bG+u7d7KFCxfy3nvv+R736NGDqVOnkpwcuKmh1NTgV/qeCRRnZyjOzlCcnaNYN131np0c/Xwl3uIiQrqkYnXvgbeijJq9e3BFRtJpyC1EXNC/0RmPYMY56Ftthw0bxtChQ32P6zKxwsJCampq/PpelmWRmppKQUFBgzUx8R/F2RmKszMUZ+co1s1jvF68/1oMBwowad2xaoGycsCyH+fvoWLdl7hS0uslH4GKs9vtbvLEgV+Tj7i4OACKioqIj4/3XS8qKiIzM7PRrwkNDSU0NLTRe4H68Blj9MF2gOLsDMXZGYqzcxTrpjGHDmDy90J8EvbP7cdjZllg4hMhPxdz6ECj/UWCGWe/Vp6kpKQQFxfHxo0bfdfKysrYtm0bOTk5/nwrERGRFjNeL+bgfszeXfbvXm+wh9R87ay3x4maPfNRUVFBQUGB7/GBAwfYtWsX0dHRJCUlcd1117FgwQLS0tJISUlh3rx5xMfH079/f78OXEREpCXay+Frp9XOenucqNnJx/bt25k0aZLv8axZswAYNGgQ9957LzfddBOVlZW89tprlJWV0atXLx577DHCwsL8N2oREZEWaE+Hr53Wsd4eZs92zInnuXBCb4+Mnm2mt8eJmp18nHfeecyfP/+U9y3L4vbbb+f2229v1cBERET8qVmHr7WRfhg/xXK5oN9A+1yXvFxMQqK91FJVYScebay3x4na3ohEREQC4TSHr3Hs8DUOFwZpgM1npXXDuuoGrO49oaQE9udBSQlWRk+sK9vuLE7Qt9qKiIg4okkFmofbZIHmT7HSusG1Xe0TayvK7RqPhOQ2OeNRR8mHiIicGdpxgebpWC5Xo9tp26q2mxaJiIj4Uzs7fK0jU/IhIiJnBMvlwuo3ECs6BvJyMeVt+/C1jkzLLiIicsaw0rrBVTeAr8/HYbvPR0ZPO/FoowWaHY2SDxEROaO0xwLNjkbJh4iInHHaW4FmR6M0T0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHOUO1AsvX76cJUuW4PF4yMjIYPTo0WRnZwfq7URERKSdCMjMx5o1a5g1axbDhw9n6tSpZGRkMGXKFIqKigLxdiIiItKOBCT5+PDDD7nyyiu54oorSE9PZ9y4cYSFhfHRRx8F4u1ERESkHfH7sktNTQ07duzg5ptv9l1zuVz07t2brVu3Nnh+dXU11dXVvseWZREZGen7sz/VvZ6/X1fqU5ydoTg7Q3F2jmLtjLYQZ78nH8XFxXi9XuLi4updj4uLIy8vr8HzFy5cyHvvved73KNHD6ZOnUpycrK/h+aTmpoasNeW4xRnZyjOzlCcnaNYOyOYcQ5YwWlTDRs2jKFDh/oe12VihYWF1NTU+PW9LMsiNTWVgoICjDF+fW05TnF2huLsDMXZOYq1MwIVZ7fb3eSJA78nHzExMbhcLjweT73rHo+nwWwIQGhoKKGhoY2+VqA+fMYYfbAdoDg7Q3F2huLsHMXaGcGMs98LTt1uN1lZWWzatMl3zev1smnTJnJycvz9diIiItLOBGTZZejQoUybNo2srCyys7NZunQplZWVDB48OBBvJyIiIu1IQJKPSy65hOLiYubPn4/H4yEzM5PHHnus0WUXERERObMErOB0yJAhDBkyJFAvLyIiIu2UznYRERERRyn5EBEREUcp+RARERFHKfkQERERRyn5EBEREUcp+RARERFHKfkQERERRyn5EBEREUcp+RARERFHBazDqYiIiLQdxuuFw4VQWUGNy2C8BiwrKGNR8iEiItLBmfxczPovMAV7obqKothYvLGJWH0HYqV1c3w8Sj5EREQ6MJOfi1m5BFNSDAlJEB6BKzQE9mzHHCqEq25wPAFRzYeIiEgHZbxee8ajpBjO6oYVGYXlCsEVFY1J644pKcZs+MJeknGQkg8REZGO6nChvdSSkIR1Un2HZVmQkIjJ32vXgjhIyYeIiEhHVVEO1VUQHt74/bAI+35FuaPDUvIhIiLSUUVEQmgYVFY2fr+qwr4fEenosJR8iIiIdFQJyVip6XD4IMaYereMMXD4EFZaOiQkOzosJR8iIiIdlOVyYfUbiBUdA3m5mPJSTG0t3tISrPw9WJ1j7O22LmfTASUfIiIiHZiV1g3rqhuwuveEkhI4sA/v0SLono11pfPbbEF9PkRERDo8K60bXNsV63AhVmUFsd0zqKxRh1MREREJIMvlgqQuWJaFu0saVn5+gzoQp2jZRURERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHKXkQ0RERByl5ENEREQcpeRDREREHNVmO5y63YEbWiBfW45TnJ2hODtDcXaOYu0Mf8e5Oa9nmWD1VhUREZEz0hm17FJeXs6jjz5KeXl5sIfSoSnOzlCcnaE4O0exdkZbiPMZlXwYY9i5c2fQDtI5UyjOzlCcnaE4O0exdkZbiPMZlXyIiIhI8Cn5EBEREUedUclHaGgow4cPJzQ0NNhD6dAUZ2cozs5QnJ2jWDujLcRZu11ERETEUWfUzIeIiIgEn5IPERERcZSSDxEREXGUkg8RERFx1BnTQH/58uUsWbIEj8dDRkYGo0ePJjs7O9jDarcWLlzI2rVr2bdvH2FhYeTk5PCrX/2Ks846y/ecqqoqZs2axZo1a6iuruaCCy5g7NixxMXFBW/g7dwHH3zAnDlzuO6667j77rsBxdmfDh8+zOzZs/nmm2+orKwkNTWV8ePH07NnT8BuzjR//nxWrVpFaWkpvXr1YuzYsaSlpQV55O2H1+tl/vz5fPrpp3g8HhISEhg0aBC33norlmUBinNL/PDDDyxevJidO3dy5MgRJkyYwIABA3z3mxLTkpISZsyYwbp167Asi4svvphRo0YRERHh9/GeETMfa9asYdasWQwfPpypU6eSkZHBlClTKCoqCvbQ2q0ffviBX/7yl0yZMoUnnniC2tpannnmGSoqKnzP+fvf/866det4+OGHmTRpEkeOHOHFF18M4qjbt23btrFixQoyMjLqXVec/aOkpIQnn3wSt9vNY489xssvv8yvf/1rOnXq5HvOokWLWLZsGePGjePZZ58lPDycKVOmUFVVFcSRty8ffPABK1asYMyYMbz88svcddddLF68mGXLlvmeozg3X2VlJZmZmYwZM6bR+02J6Z///Gdyc3N54okn+P3vf8/mzZt57bXXAjNgcwb47//+b/PGG2/4HtfW1pp77rnHLFy4MHiD6mCKiorMiBEjzPfff2+MMaa0tNTccccd5vPPP/c9Z+/evWbEiBFmy5YtwRpmu1VeXm7uv/9+8+2335o//OEP5s033zTGKM7+NHv2bPPkk0+e8r7X6zXjxo0zixYt8l0rLS01d955p1m9erUTQ+wQnnvuOfPKK6/Uu/bCCy+YP/3pT8YYxdkfRowYYb788kvf46bENDc314wYMcJs27bN95wNGzaY2267zRw6dMjvY+zwMx81NTXs2LGD3r17+665XC569+7N1q1bgziyjqWsrAyA6OhoAHbs2EFtbW29uHft2pWkpCTFvQXeeOMN+vbtS58+fepdV5z95+uvvyYrK4uXXnqJsWPHMnHiRFauXOm7f+DAATweT73/BlFRUWRnZyvWzZCTk8OmTZvIy8sDYNeuXWzZsoW+ffsCinMgNCWmW7dupVOnTr4lRoDevXtjWRbbtm3z+5g6fM1HcXExXq+3wfp3XFyc78MvreP1epk5cybnnHMO3bt3B8Dj8eB2u+tNWQPExsbi8XiCMMr267PPPmPnzp0899xzDe4pzv5z4MABVqxYwfXXX8+wYcPYvn07b775Jm63m8GDB/viGRsbW+/rFOvmufnmmykvL+ehhx7C5XLh9Xq54447uPzyywEU5wBoSkw9Hg8xMTH17oeEhBAdHR2QuHf45EMCb/r06eTm5jJ58uRgD6XDOXjwIDNnzuSJJ54gLCws2MPp0LxeLz179uTOO+8EoEePHuzZs4cVK1YwePDg4A6uA/n8889ZvXo1999/P926dWPXrl3MnDmT+Ph4xfkM0uGTj5iYGFwuV4PMzePxaDeAH0yfPp3169czadIkEhMTfdfj4uKoqamhtLS03k/lRUVFinsz7Nixg6KiIh599FHfNa/Xy+bNm1m+fDmPP/644uwn8fHxpKen17uWnp7Ol19+CeCLZ1FREfHx8b7nFBUVkZmZ6dQw273Zs2dz0003cemllwLQvXt3CgsL+eCDDxg8eLDiHABNiWlcXBzFxcX1vq62tpaSkpKA/FvS4Ws+3G43WVlZbNq0yXfN6/WyadMmcnJygjiy9s0Yw/Tp01m7di1PPfUUKSkp9e5nZWUREhLCxo0bfdfy8vI4ePCg4t4MvXv35o9//CPPP/+871fPnj257LLLfH9WnP3jnHPOabAUm5eXR3JyMgApKSnExcXVi3VZWRnbtm1TrJuhsrISl6v+tx6Xy4U5dsyY4ux/TYlpTk4OpaWl7Nixw/ecTZs2YYwJSFuKDj/zATB06FCmTZtGVlYW2dnZLF26lMrKSk3xtcL06dNZvXo1EydOJDIy0jezFBUVRVhYGFFRUfziF79g1qxZREdHExUVxYwZM8jJydE/IM0QGRnpq6OpEx4eTufOnX3XFWf/uP7663nyySdZsGABl1xyCdu2bWPVqlXcc889AFiWxXXXXceCBQtIS0sjJSWFefPmER8fT//+/YM8+vbjoosuYsGCBSQlJZGens6uXbv48MMPueKKKwDFuaUqKiooKCjwPT5w4AC7du0iOjqapKSk08Y0PT2dCy+8kNdee41x48ZRU1PDjBkzuOSSS0hISPD7eM+YU22XL1/O4sWL8Xg8ZGZmMmrUKM4+++xgD6vduu222xq9Pn78eF9SV9f86rPPPqOmpkbNr/zk6aefJjMzs0GTMcW59datW8ecOXMoKCggJSWF66+/nquuusp33xxr1LRy5UrKysro1asXY8aMqddcT35aeXk577zzDmvXrqWoqIiEhAQuvfRShg8fjttt/zysODff999/z6RJkxpcHzRoEPfee2+TYlpSUsL06dPrNRkbPXp0QJqMnTHJh4iIiLQNHb7mQ0RERNoWJR8iIiLiKCUfIiIi4iglHyIiIuIoJR8iIiLiKCUfIiIi4iglHyIiIuIoJR8iIiLiKCUfIiIi4iglHyIiIuIoJR8iIiLiKCUfIiIi4qj/D8GO84neOTFbAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kreg = KRegression(X,Y,bw=nu_opt)\n", "fig = plt.figure()\n", "plt.plot(X, Y, 'o', alpha=0.5, label='Data')\n", "plt.plot(x_lin, g(x_lin), 'b-', label='$g(x)$')\n", "kreg.plot_reg(color='k', label='Noyau, $\\\\nu=\\\\nu^{opt}$')\n", "plt.legend(loc='best')\n", "plt.show" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**5.** Commentez la qualité de cette regression à l'aide des résiduelles, que vous représenterez sous forme d'histogramme. Est-ce que une régression linéaire serait adapté dans ce cas ?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def residuals(self):\n", " return self.Y-self.fit(self.X)\n", "\n", "KRegression.residuals=residuals" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean = -0.0826293794712899; Std = 4.3558934389578825\n" ] }, { "data": { "text/plain": [ "[Text(0.5, 0, 'Residuals'), Text(0, 0.5, 'Density')]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "Kreg = KRegression(X,Y,bw=nu_opt)\n", "residuals = Kreg.residuals()\n", "\n", "print(f'Mean = {np.mean(residuals)}; Std = {np.std(residuals)}')\n", "\n", "fig = plt.figure(figsize=(5,5))\n", "ax = fig.add_subplot(111)\n", "ax.title.set_text('Residuals')\n", "ax= sns.histplot(residuals,\n", " stat='density',\n", " color=\"skyblue\",\n", " alpha=.5)\n", "ax.set(xlabel='Residuals', ylabel='Density')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Bonus.** La méthode proposé au point **4.** pour déterminer le $\\nu$ optimale pour la regression avec noyaux peut s'appliquer aussi pour déterminer le $k$ optimale pour la régression avec $k$-plus-proches-voisins. Implémentez-la et comparez cette estimation avec celle obtenue avec le noyau $K$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "class KNNRegression:\n", "\n", " def __init__(self,X,Y,k):\n", " # X: independent variable (np.array)\n", " # Y: dependent variable (np.array)\n", " # k: number of neighbors\n", " self.X = X\n", " self.Y = Y\n", " self.k = k\n", "\n", " def fit(self,x):\n", " # x: np.array\n", " \n", " import pandas as pd\n", " df = pd.DataFrame(np.column_stack((self.X, self.Y)), columns=['X','Y'])\n", " \n", " hat_g = []\n", " for i in x:\n", " df_temp = df.copy()\n", " df_temp['dist']=abs(df_temp['X']-i)\n", " df_temp.sort_values(by=['dist'], inplace=True)\n", " sum = np.sum(df_temp['Y'].values[:self.k])\n", " hat_g.append(sum/self.k)\n", " return np.array(hat_g)\n", "\n", " def plot_reg(self,**kwargs):\n", " x_lin = np.linspace(min(self.X),max(self.X),1000)\n", " y_pred = self.fit(x_lin)\n", " return plt.plot(x_lin,y_pred, **kwargs)\n", "\n", " def residuals(self):\n", " return self.Y-self.fit(self.X)\n", " \n", " def plot_true_vs_predicted(self,**kwargs):\n", " return plt.scatter(self.Y,self.fit(self.X), **kwargs)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def mise_KNN(X,Y,k):\n", " N=len(X)\n", " sum=0.0\n", " for i in range(N):\n", " X_i = np.delete(X,i)\n", " Y_i = np.delete(Y,i)\n", " y_hat = KNNRegression(X_i,Y_i,k).fit(np.array([X[i]]))\n", " sum += (Y[i]-y_hat)**2\n", " return sum/N\n", "\n", "def optimal_k(X,Y,K):\n", " # X : data indep var (np.array)\n", " # Y : data dep var (np.array)\n", " # Nus : interval where nu research is performed (np.array)\n", "\n", " k_opt = K[0]\n", " MISE_opt = mise_KNN(X,Y,k_opt)\n", " MISE_list = [MISE_opt]\n", "\n", " for k in K[1:]:\n", " MISE = mise_KNN(X,Y,k)\n", " MISE_list.append(MISE)\n", " if MISE" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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l5biLP/Tq1UtpaWltX2xraNjcltXzAAAAAM/wVGg6ePCgHnvsMZWWlioQCCg7O1u5ubkaOXKk26W1jYaRpsoK2bo6mZgYd+sBAAAA4K3Q1Ny9l+bPn99Klbik/pomSVKwQuqa7F4tAAAAACR5bHPbzs7ExEgJ9autBZmiBwAAAHgBoclrGkabWAwCAAAA8ARCk9ewGAQAAADgKYQmr6lfDMIy0gQAAAB4AqHJY0yAkSYAAADASwhNXsMGtwAAAICnEJq8puGaJlbPAwAAADyB0OQ1kZEmQhMAAADgBYQmrwkkSmIhCAAAAMArCE0eYxpGmpieBwAAAHgCoclrWAgCAAAA8BRCk9ewuS0AAADgKYQmrzlqpMla624tAAAAAAhNntMw0hQOS1WV7tYCAAAAgNDkNSauixQb59xhMQgAAADAdYQmLwo0XNfEYhAAAACA2whNXsRiEAAAAIBnEJq8KJGRJgAAAMArCE1eVL+CnmWkCQAAAHAdocmDDCNNAAAAgGcQmrwoslcTI00AAACA2whNXtSweh5LjgMAAACuIzR5Uf30PMv0PAAAAMB1hCYvYnoeAAAA4BmEJg9iIQgAAADAOwhNXsRIEwAAAOAZhCYviiwEwUgTAAAA4DZCkxc1jDTV1MiGatytBQAAAOjkCE1elBCQfPXfGqboAQAAAK4iNHmQMUYKJDp3CE0AAACAqwhNXhVoWAyC65oAAAAANxGavCqRxSAAAAAALyA0eVX9YhCW6XkAAACAq/xuF3C0vLw85eXlqbi4WJKUlZWlyZMna9SoUSovL9f8+fO1Zs0alZSUKDk5WWPHjtW1116rQCDgcuXRZxKTZCWm5wEAAAAu81Ro6tGjh6677jplZGTIWqslS5Zo9uzZmj17tqy1OnDggG644QZlZWWppKRETzzxhEpLS/WTn/zE7dKjjw1uAQAAAE/wVGgaM2ZMo/tTpkxRXl6eCgoKNGHCBE2fPj3yWHp6uq699lr9/ve/V11dnWJiYtq63NYVuaaJ0AQAAAC4yVOh6WjhcFjLly9XdXW1Bg8efNznBINBJSQkNBmYQqGQQqFQ5L4xRgkJCZHbLdVwjmicq9F5E7vWT88rj/q50XqO/l4ZY5r1vWutXkLnQy8hWuglRAu9hGhws488F5oKCwuVm5urUCik+Ph4TZ8+XVlZWcc879ChQ3rhhRd06aWXNnm+hQsXasGCBZH7/fv316xZs5SamhrVutPT06N6voreWTogKa62RmkZGVE9N1pPRUVF5HZ6eroSExObfY5o9xI6L3oJ0UIvIVroJUSDG31krLW2zd+1CbW1tSopKVEwGNSKFSv09ttva+bMmY2CUzAY1P3336+kpCTdfffd8vtPnP1ONNJUXFys2traFtdrjFF6erqKiooUzf+U4c8+Vvh390nZOfL//NdROy9aVzAYVE5OjiRp06ZNzVqkpLV6CZ0PvYRooZcQLfQSoqE1+sjv95/UYIrnRpr8fn8kPQ4YMECbN2/WokWL9MMf/lCSVFlZqV/+8pdKSEjQ9OnTmwxMkhQbG6vY2NjjPhbNH1prbXT/EQjUX9NUcZh/XNqRo79Xp9oTUe8ldFr0EqKFXkK00EuIBjf6yPP7NIXD4chIUcMIk9/v19133624uDiXq2tFDQtBsHoeAAAA4CpPhaZnn31W+fn52rdvnwoLCyP3L7zwQgWDQT3wwAOqrq7Wj370I1VWVqqsrExlZWUKh8Nulx59DUuOV1bIhuvcrQUAAADoxDw1Pe/gwYN67LHHVFpaqkAgoOzsbOXm5mrkyJFat26dCgoKJEn//u//3uh1jz76qNLS0twoufU0TM+TpGCFlJTsXi0AAABAJ+ap0HTHHXec8LHhw4dr/vz5bViNu0xMjBSfIFVVOlP0CE0AAACAKzw1PQ9f0jBFr+Kwu3UAAAAAnRihyctYDAIAAABwHaHJy+pHmiwjTQAAAIBrCE0eZgKMNAEAAABuIzR5Gdc0AQAAAK4jNHlZwzVNQUaaAAAAALcQmryMhSAAAAAA1xGavKz+miYWggAAAADcQ2jyMNNwTRPT8wAAAADXEJq8jIUgAAAAANcRmryMa5oAAAAA1xGavOyokSZrrbu1AAAAAJ0UocnLGkaawmGputLdWgAAAIBOitDkYSaui+SPde4wRQ8AAABwBaHJ61gMAgAAAHAVocnrWAwCAAAAcBWhyesioYmRJgAAAMANhCavq5+eZxlpAgAAAFxBaPI4w0gTAAAA4CpCk9c1LAQRZKQJAAAAcAOhyesCLAQBAAAAuInQ5HX10/Ms0/MAAAAAVxCavC6yTxMjTQAAAIAbCE0ex0IQAAAAgLsITV7HSBMAAADgKkKT1zUsBBFkpAkAAABwA6HJ6xpGmmpqZEM17tYCAAAAdEKEJq+LT5BM/beJKXoAAABAmyM0eZzx+aTEROcOoQkAAABoc4Sm9iDQsBgE1zUBAAAAbY3Q1B4kshgEAAAA4BZCU3tQvxiEZXoeAAAA0OYITe0AG9wCAAAA7vG7XcDR8vLylJeXp+LiYklSVlaWJk+erFGjRkmSampq9Mwzz2jZsmUKhUI688wzNXXqVKWkpLhYdRtgg1sAAADANZ4aaerRo4euu+46PfTQQ3rwwQc1YsQIzZ49Wzt27JAkzZs3T5988onuuusuzZw5U6WlpZozZ47LVbeByAa3hCYAAACgrXkqNI0ZM0ajR49WRkaGMjMzNWXKFMXHx6ugoEDBYFDvvPOObrzxRo0YMUIDBgzQtGnT9MUXX2jjxo1ul966ItPzCE0AAABAW/NUaDpaOBzWhx9+qOrqag0ePFhbtmxRXV2dzjjjjMhzevfurV69enWC0NSwEATXNAEAAABtzVPXNElSYWGhcnNzFQqFFB8fr+nTpysrK0vbtm2T3+9XYsNGr/W6deumsrKyE54vFAopFApF7htjlJCQELndUg3niMa5TvgeSV1lJamivFXfBy139PfHGNOs71db9BI6B3oJ0UIvIVroJUSDm33kudCUmZmphx9+WMFgUCtWrNBjjz2mmTNnnvL5Fi5cqAULFkTu9+/fX7NmzVJqamo0yo1IT0+P6vmOVl3WT/skxVRVKiMjo9XeBy1XUVERuZ2enn5MyD8ZrdlL6FzoJUQLvYRooZcQDW70kedCk9/vj/yHGDBggDZv3qxFixbp/PPPV21trSoqKhr9Inrw4MEmV8+bNGmSrrzyysj9hmRaXFys2traFtdrjFF6erqKiopkrW3x+Y7HVlVLkuoOlWnPnj2t8h6IjmAwGLldVFSkQCBw0q9ti15C50AvIVroJUQLvYRoaI0+8vv9JzWY4rnQ9GXhcFihUEgDBgxQTEyMPv/8c5177rmSpN27d6ukpESDBw8+4etjY2MVGxt73Mei+UNrrW290NSwel5lhcJ1tTK+mFZ5H7Tc0T1wqj3Rmr2EzoVeQrTQS4gWegnR4EYfeSo0PfvsszrrrLPUq1cvVVVVaenSpcrPz1dubq4CgYAmTJigZ555RklJSQoEAnrqqac0ePDgJkNTh5Bw1BSvYIWUlOxeLQAAAEAn46nQdPDgQT322GMqLS1VIBBQdna2cnNzNXLkSEnSjTfeKGOM5syZo9ra2sjmth2d8ful+ASpqtJZdpzQBAAAALQZT4WmO+64o8nH4+LiNHXq1E4RlI6R2LU+NLHsOAAAANCWWnWfppqaGpWUlLTmW3QebHALAAAAuKLZoen666/XsmXLIvcrKyv14IMPavv27cc896OPPtKdd97ZsgrhYINbAAAAwBXNDk2hUEjhcDhyv7a2VqtXr9bhw/wy35pMgJEmAAAAwA2tOj0PUVQ/0sQ1TQAAAEDbIjS1Fw0b+gYZaQIAAADaEqGpvYiMNBGaAAAAgLZEaGov6q9pYiEIAAAAoG2d0j5Nf/jDH/TEE080OjZr1iz5fI0zWF1d3alXhkZMYldZiel5AAAAQBtrdmj6+te/3hp14KuwEAQAAADgimaHpmnTprVGHfgqbG4LAAAAuIJrmtqLo0aarLXu1gIAAAB0Is0eaaqurtbhw4eVkpIiv7/xy9955x0tXbpUpaWl6t27t6655hrl5ORErdhOrWFz23BYqq6U4gPu1gMAAAB0Es0eaVqwYIGmT5+u2traRsdfeOEF/fGPf1R+fr4OHTqkjz/+WDNnztS2bduiVWvnFhcn+WOd20zRAwAAANpMs0PTunXrNHr0aMXHx0eOBYNBvfjii+rRo4d+97vfae7cuXrggQfk9/v10ksvRbPeTssYw2IQAAAAgAuaHZqKi4uVnZ3d6Ninn36q2tpaXX311UpLS5Mk5eTkaPz48dqwYUN0KgWLQQAAAAAuaHZoqqysVNeuXRsdW79+vSTprLPOanQ8KytLhw4dOvXq0FgkNDHSBAAAALSVZoem1NRU7dq1q9GxdevWKSUlRenp6Y2O19bWKiEhoWUV4oj66XmWkSYAAACgzTQ7NI0cOVLvvvuuCgoKJElLlizR7t27NXbs2GOeu2XLlsh0PbScYaQJAAAAaHPNXnL8u9/9rj7++GPNmDFDPp9P4XBYycnJmjx5cqPnVVdXa+XKlbr00kujVmyn17DseJCRJgAAAKCtNDs0JScna/bs2XrnnXe0d+9epaam6uKLL1a3bt0aPW/Hjh268MILddFFF0Wt2E4vsnoeoQkAAABoK80OTZKUlJSkq666qsnn5OTksLFttNVPz7NMzwMAAADaTLOvaYKLGGkCAAAA2lyzR5qeeuqpZj3fGKObb765uW+D4zCJSbISC0EAAAAAbajZoekf//hHs9+E0BQljDQBAAAAba7Zoelvf/tba9SBkxFZPY+RJgAAAKCtcE1Te9Iw0lRTIxuqcbcWAAAAoJNo9kjTrFmzmvV8Y4zuvvvu5r4Njic+QTI+yYadKXopPdyuCAAAAOjwmh2aVq1apdjYWKWkpMha+5XPN8acUmE4lvH5pMREqfwwoQkAAABoI80OTT169NCBAwfUtWtXjRs3ThdccIFSUlJaoTQcV6BrfWjiuiYAAACgLTQ7ND3++OPKz8/X0qVL9cILL+gvf/mLhg0bpnHjxuncc89VQkJCa9SJBoksBgEAAAC0pWaHJkkaNmyYhg0bpltuuUWffvqpli5dqqeeekpPPvmkRo0apXHjxunss89WbGxstOtF/WIQtqJcTHwEAAAAWt8phabIi/1+jR07VmPHjlVVVZU++ugjvfnmm/r1r3+t733ve5o8eXK06kQ9NrgFAAAA2lZUlhwPhUJavXq1Pv74Y23dulVxcXFKS0uLxqnxZZENbivcrQMAAADoJE55pCkcDuuzzz7Thx9+qI8//ljV1dUaOXKkbr/9dp1zzjmKj4+PZp1owAa3AAAAQJtqdmj64osvtHTpUq1YsUKHDx/WoEGDNGXKFJ133nlKTk5uUTELFy7UypUrtWvXLsXFxWnw4MG6/vrrlZmZGXlOWVmZ/vznP+uzzz5TVVWVMjMzNWnSJJ177rkteu92o2EhiIpyd+sAAAAAOolmh6Z77rlHcXFxGjVqlC644AKlpqZKkkpKSlRSUnLc1wwYMOCkzp2fn6+JEydq4MCBqqur03PPPaf7779fjzzySGTk6tFHH1VFRYV++tOfqmvXrlq6dKl+/etf66GHHlL//v2b++W0P5GFIBhpAgAAANrCKU3Pq6mp0UcffaSPPvropJ7/t7/97aSel5ub2+j+nXfeqalTp2rLli0aNmyYJGek67bbblNOTo4k6bvf/a5ef/11bdmypVOEpiMLQTDSBAAAALSFZoemO+64ozXqOK5gMChJSkpKihwbMmSIli1bptGjRysQCGj58uUKhUIaPnz4cc8RCoUUCoUi940xkb2kjGn5ot0N54jGuU5KUv0UyIrDbfeeOGlHf0+MMc36HrV5L6HDopcQLfQSooVeQjS42UfGWmvb/F1PQjgc1uzZs1VRUaFf/OIXkeMVFRX6zW9+ozVr1igmJkZxcXG66667dOaZZx73PPPnz9eCBQsi9/v3769Zs2a1ev2tJbRzm4punyyTmKSs+e+5XQ6+pKKiIhLyy8vLlZiY6HJFAAAAaKkW7dPUmubOnasdO3bovvvua3T8b3/7myoqKvTzn/9cXbt21ccff6xf//rXuu+++9S3b99jzjNp0iRdeeWVkfsNybS4uFi1tbUtrtMYo/T0dBUVFakt8qcNVjmfK8q1e9dOGV9Mq78nTl7D6KgkFRUVKRAInPRr27qX0HHRS4gWegnRQi8hGlqjj/x+f2SNhiafF5V3i7K5c+dq1apVmjlzpnr27Bk5XlRUpMWLF2vOnDnq06ePJKlfv37asGGDFi9erB/+8IfHnCs2NlaxsbHHfZ9o/tBaa9smNMUf+SXcVpQfma4HTzi6B061J9qql9Dx0UuIFnoJ0UIvIRrc6KOobG4bLdZazZ07VytXrtQ999xzzAa5NTU1ko6dx+jz+TrND6Dx+6V455osFoMAAAAAWp+nQtPcuXP1wQcf6D/+4z+UkJCgsrIylZWVRcJSZmam0tPT9cQTT2jTpk0qKirSq6++qs8++0xjx451ufo2VL/suFh2HAAAAGh1npqel5eXJ0m69957Gx2fNm2axo8fL7/fr//5n//RX//6V82aNUtVVVVKT0/XnXfeqdGjR7tQsUsSk6T9+xhpAgAAANqAp0LT/Pnzv/I5GRkZmj59ehtU42FHbXDLwp0AAABA6/LU9DycHBOo37eKkSYAAACg1RGa2qOGa5qChCYAAACgtRGa2qOGDVNZCAIAAABodYSm9iiyeh4jTQAAAEBrIzS1R/XXNFlGmgAAAIBWR2hqhwzXNAEAAABthtDUHiXVh6YDJbLWulsLAAAA0MERmtqjvgOl2DiptETauc3tagAAAIAOjdDUDpn4BGn4KEmSXbXc5WoAAACAjo3Q1E6Z0edLkuynhCYAAACgNRGa2ikzcqwUEyPt2i5btMvtcgAAAIAOi9DUTpnEJGnISEmMNgEAAACtidDUjpmzz5Mk2U+WuVwJAAAA0HERmtoxc9bXJGOk7Ztk9xe7XQ4AAADQIRGa2jGT3F0aNEwSU/QAAACA1kJoaufMqPopequYogcAAAC0BkJTO9cQmrRpveyhUneLAQAAADogQlM7Z3qmSv0GSdbKrv7I7XIAAACADofQ1AGY0Q2r6HFdEwAAABBthKYOIDJF74vPZCvK3S0GAAAA6GAITR2ASe8t9c6W6upk16x0uxwAAACgQyE0dRCRVfRYehwAAACIKkJTB2HOrp+it+5T2apKd4sBAAAAOhBCU0fRu5+Umi6FaqS1n7hdDQAAANBhEJo6CGOMzOjzJUl2FVP0AAAAgGghNHUgkaXHP/unbKjG5WoAAACAjoHQ1JH0GySl9JSqK6X8NW5XAwAAAHQIhKYOxPh8R0abPl3mcjUAAABAx0Bo6mAioWn1StnaWperAQAAANo/QlNHM2iY1LWbVHFYKljndjUAAABAu0do6mCML0bmrK9JkuwqpugBAAAALUVo6oCOXNe0QjYcdrkaAAAAoH0jNHVEQ0dKCQHpYKm05Qu3qwEAAADaNb/bBRxt4cKFWrlypXbt2qW4uDgNHjxY119/vTIzMxs9b+PGjXruuee0adMm+Xw+9evXT7m5uYqLi3Opcm8x/liZkWNlP1oiu2qZTM7pbpcEAAAAtFueCk35+fmaOHGiBg4cqLq6Oj333HO6//779cgjjyg+Pl6SE5geeOABTZo0SbfccotiYmK0bds2GWNcrt5bzOjz60PTctnv3cJ/HwAAAOAUeSo05ebmNrp/5513aurUqdqyZYuGDRsmSZo3b54uv/xyXXPNNZHnfXkkCpKGj5biukj790k7tkh9B7pdEQAAANAueSo0fVkwGJQkJSUlSZIOHjyogoICjRs3TjNmzNDevXuVmZmpKVOmaOjQocc9RygUUigUitw3xighISFyu6UazuG1kRwTHy97xtmynyyTXbVcvuwct0vqFI7uA2NMs/rCq72E9odeQrTQS4gWegnR4GYfGWutbfN3PQnhcFizZ89WRUWFfvGLX0hypubNmDFDSUlJuuGGG9SvXz8tWbJEeXl5mjNnjjIyMo45z/z587VgwYLI/f79+2vWrFlt9nW4qeK9xTrw8Az5+/RXxh/+7nY5nUJFRUUk5JeXlysxMdHligAAANBSnh1pmjt3rnbs2KH77rsvcqwh31166aW6+OKLJTkhaO3atXr33Xd13XXXHXOeSZMm6corr4zcb0imxcXFqq2tbXGdxhilp6erqKhIXsuftk+OFONX7Y6t2v3JSpnMPm6X1OE1jI5KUlFRkQKBwEm/1su9hPaFXkK00EuIFnoJ0dAafeT3+5WamvrVz4vKu0XZ3LlztWrVKs2cOVM9e/aMHO/evbskKSsrq9Hze/furZKSkuOeKzY2VrGxscd9LJo/tNZa7/0jkBCQhp0lff5PhVctky/j+25X1OEd3QOn2hOe7CW0S/QSooVeQrTQS4gGN/rIU/s0WWs1d+5crVy5Uvfcc4/S0tIaPZ6amqru3btr9+7djY7v2bNHvXr1astS2w0z6lxJkl213OVKAAAAgPbJU6Fp7ty5+uCDD/Qf//EfSkhIUFlZmcrKylRTUyPJGZK76qqr9MYbb2jFihUqKirS888/r127dmnChAkuV+9N5qxzJeOTCjfLFhe5XQ4AAADQ7nhqel5eXp4k6d577210fNq0aRo/frwk6YorrlAoFNK8efNUXl6u7Oxs/fznP1d6enobV9s+mK7J0uDh0hefy366Quaya9wuCQAAAGhXPBWa5s+ff1LPu+aaaxrt04SmmdHnyX7xueyqZRKhCQAAAGgWT03PQ+swo85zbmzeIFt2wN1iAAAAgHaG0NQJmO49pQFDJEl29QqXqwEAAADaF0JTJ2FGny+JVfQAAACA5iI0dRINS4/ri89lyw+5WwwAAADQjhCaOgmTliFl9ZfCYdk1K90uBwAAAGg3CE2diDnbWRCCKXoAAADAySM0dSJmlHNdk/I/la0KulsMAAAA0E4QmjqTzD5Sem+ptlZ2zcduVwMAAAC0C4SmTsQYI3P2BZIku+QNl6sBAAAA2gdCUydjvn65FOOXCvJlN29wuxwAAADA8whNnYzp3lPm3K9LksKLX3S5GgAAAMD7CE2dkJn4HefGmo9k9+x0txgAAADA4whNnZDJ6COd9TXJWtm8hW6XAwAAAHgaoamT8tWPNtkV78qW7Xe5GgAAAMC7CE2dlMk5XcoZ5iw//tarbpcDAAAAeBahqRPzfbN+tOn9xbLBCperAQAAQGdgrZWtqnS7jGbxu10AXHTGGCmjj7Rnh+z7i2W++V23KwIAAEAHY2trpR1bZAvyZQvypU35MqPOlfnXH7td2kkjNHVixueT+eZ3ZP/vt7JvvSp7yVUysbFulwUAAIB2zFZXS1s2OCFpU7605Qupuqrxc7YVuFTdqSE0dXLmnItkX/qrVFoiu+JdmQsvc7skAAAAtCO24rBUP4pkC9ZJhZulurrGTwokSYOGyQwaJpMzTMoe6E6xp4jQ1MkZf6zMpVfJ/v0p2byFshdcKuPjUjcAAAAcnw2FpM//KZv/qTPdbnfhsU/q3ktm0LD6oDRcyujTrn/HJDRB5qLLZF//m1S0S1r9kTT6PLdLAgAAgIdYa6Xtm2SXvS278gOp4nDjJ6Rn1Yek4c7nnmkyxrhTbCsgNEEmPiAz/luyi/6u8OIX5Bt1bodqcgAAAJwaW3ZA9qMlssvebjyilNJT5uzzZQaPcEaTunZzr8g2QGiCJMlccqVs3kvS1o1SwTpp8Ai3SwIAAIALbKhGWrNS4WXvSOtWSeGw80BsnLPq3fmXSKePlPHFuFtoGyI0QZJkkrvLnH+J7PuLFV78omIITQAAAJ2GtVba1jD97n0pWH7kwYFDZc6/RGbMOJlAontFuojQhAgz8RrZD/7hXNi3a7tM72y3SwIAAEArsmX7ZVe8J7vsHWnPjiMPdO8lc97Fzkd6lnsFegShCREmLdNZBOKTZbL/eFHmlv9yuyQAAAC0kA3XSfuLpX17ZPftqf+8W9q3R9q7W7JHT787T+aCCdLQzjX97qsQmtCIb+J3Ff5kmezK92Wvvl6mZ6rbJQEAAOAr2Lo66UBxo0Bk9+6WivdIxXulutoTvzjndGf63dkXdNrpd1+F0IRGTP9B0pAzpC8+l33rZZkfTHW7JAAAAByH3V/sXIP0z6XOiFFTwcgfK6WmS2kZMmkZUlqm8zmjj0z3nm1XdDtFaMIxfN/8rsJffC77QZ7slT+QSezqdkkAAABQ/cayaz5SeOmbUv5qydojD8bGHRWMMhsFJHXvwXS7FiA04VjDR0lZ/aWdW2XfXSRz5Q/crggAAKBTszu3yS59U/aj96TyozaWHXKGzLhLnf2SUnrK+Hyu1diREZpwDGOMzDe/I/vkHNl3XpO97BqZuC5ulwUAANCp2Mqgc5350jelbQVHHkjp6VyDdMElzkgSWh2hCcdlxoyTXfhnaf8+2WVvy4z/ltslAQAAdHjWWqlgnTOq9MmHUk2N80BMjHTmOfKN+4Y0fBRT7doYoQnHZWJiZL5xjezzf5LNe0n2wokyMfxwAgAARJsNh6WSvbKffCi79C1p3+4jD2b0cabfnXuxTHKKazV2dp4KTQsXLtTKlSu1a9cuxcXFafDgwbr++uuVmZl5zHOttXrwwQe1evVqTZ8+Xeecc44LFXdsZtylsq89JxUXya5aLjN2nNslAQAAtFs2WCHt3SVbtEsq2iW7d6dUtMvZLylUc+SJXRJkxo6TGfcNacAQGWPcKxqSPBaa8vPzNXHiRA0cOFB1dXV67rnndP/99+uRRx5RfHx8o+e+/vrrNFArM13iZS6+QvbV52UXvyA75gL+mwMAADTB1tVJJXsbhSK71wlJOlR24hf6/VK/wc51SmPGycQntFnN+GqeCk25ubmN7t95552aOnWqtmzZomHDhkWOb9u2Ta+99poeeugh/fCHP2zrMjsVc/GVsv94USrcLG34TDr9TLdLAgAA8BRbul/20+Wyq5ZLm9Y3vV9Stx5Sem+Z03o7n9N7S6f1lnqmcSmEh3kqNH1ZMBiUJCUlJUWOVVdX67e//a1uvfVWpaSkfOU5QqGQQqFQ5L4xRgkJCZHbLdVwjo46AmOSu8mOu8xZRW/xC/INO8vtkjzt6D4wxjSrLzp6L6Ht0EuIFnoJ0dIRe8nWX74QXrVM2ryh8YOxcdJpmU4gSs+SOa33kdsJAXcK7gDc7CPPhqZwOKynn35aQ4YMUd++fSPH582bpyFDhmjs2LEndZ6FCxdqwYIFkfv9+/fXrFmzlJqaGtV609PTo3o+L6m9/ofa894bsvmr1TN4UHEDh7pdkmdVVFREbqenpysxMbHZ5+jIvYS2RS8hWuglREt776XQjm2q/PBtBZe9o9rNXzR6LG7oSCVcMEEJX7tI/ows9ktqRW70kWdD09y5c7Vjxw7dd999kWP//Oc/tXbtWs2ePfukzzNp0iRdeeWVkfsNybS4uFi1tU0MnZ4kY4zS09NVVFTkLBHZIRmZseNkP1qifX/5k2J++N9uF+RZDaOjklRUVKRA4OT/mtQ5egltgV5CtNBLiJb22kvWWmnHVoVXLZNdtUzavePIg8YnM3i4zNnny4w6T+HuPVUhqUKS9u51qeKOrTX6yO/3n9RgiidD09y5c7Vq1SrNnDlTPXv2jBxfu3at9u7dq5tuuqnR8+fMmaPTTz9d99577zHnio2NVWxs7HHfJ5o/tNbadvWPQHOZyybJfrRE9uOlCl92jUx2jtsledLRPXCqPdHRewlth15CtNBLiBYv95INhaSqoFQZlMoOyH620rlGqbjoyJNi/NLpI2VGny9z1tdkunY78nqPfl0dkRt95KnQZK3VU089pZUrV+ree+9VWlpao8evueYaTZgwodGx6dOn68Ybb9SYMWPastROx/QdIJ19vvTJMoX/90H5ZjzS6B8KAAAAr7DBcumLtbIHip0QVBWUKiulqqDs0ferK488fqIZSLFxzmayo8+XOXOsTCDp+M9Dh+ap0DR37lwtXbpUd999txISElRWViZJCgQCiouLU0pKynEXf+jVq9cxAQvR5/vXHyu8Y5u0b7fCf5wt33/dxyovAADAdba2Vtryhez61bL5q6WtBZINn9rJusRLCQGZnGHS6PNlzjib5b/hrdCUl5cnScdMs5s2bZrGjx/f9gWhERNIku/Onyn8y/+WvvhcdsH/yfxgqttlAQCATsZa6+x/lL9adv1qacPnzqjR0dKzZLL6SQkB5yM+ICUkOBvHRu4fdTw+IMXHy/j4gzCO5anQNH/+/DZ5DU6dyewr3y3/qfDjD8q+9YrCfQfKd97FbpcFAAA6OHv4kBOQGoLSgZLGT0hKljn9TGnYWTLDzpLpEd2VktG5eSo0oX0wo8+TueL7sq/Pl/3zY7KZfWWyB7pdFgAA6EBsdbW0eb3s+jXOlLsdW6SjL/73+6VBw2VOd0KS+vRnmW+0GkITTom56jrZwi3S5/9U+H9/ycIQAACgRWxtSNpaILvhM9kNn0lbNhy7OEPvbJnho2ROP8sJTF26uFIrOh9CE06J8fnkm3qXwg9MZ2EIAADQbDZcJxVuORKSCvKlmurGT0rpKTN0pDPl7vQzZVJ6uFMsOj1CE04ZC0MAAICTZa2V3bVd4fVrnJD0xVqpsqLxk5KSnZA0dKTzOS1Dxhh3CgaOQmhCixyzMET2QPnOZWEIAAAg2ZK9suvXSOvXaHfBOoXLDjR+QkJAGjxCpiEkZfbluiR4EqEJLdZoYYhnHpPNYGEIAAC8xobrZFe8J20rcMJJdo6U1U8mNi5671FxWNrw+ZH9koqLjjwmSXFxUs7wIyGp7wCm9qNdIDQhKlgYAgAA77Kb8hV+7gmpcPORY5IUEyM1/LEzO8f5nNVPJu7kFliwoZC0Kd9Z4W79Gmn7psYr3Pl80oAhMqefpdRxE7S/W08phl8/0f7QtYgKFoYAAMB7bOl+2Reelv1oiXMgISDztfGyxXuk7Zul8kPSzq2yO7dKH77lBCmfr34kqj5I9R3oLOcd10U2HJZ2bjuyDPimdVJNTeM3zejj7JN0+pnO1LuEgIwx6pKRIbNnj7MxLdDOEJoQNccuDPG0zA9udbssAAA6HRuqkX3zZdlFf5eqqyRjZC64VGbSDTLJKc5zrHU2iN2+SXb7ZtnCTU6QOnzQCUY7t0kfvn0kSGX0kQ6VOY8frVt3JyCdfqazZ1L3nm37xQJtgNCEqHIWhvgPhR9/SPatlxXOHsDCEAAAtBFrrbRmpcLz5x65nmjgUPmuvU2m36BGzzXGSD1TpZ6pMqPPO/L60hJp+2bZ+jCl7ZucoLRru/PCLvHOCNIwJyQpsy8r3KHDIzQh6szo82W+9X3ZRfULQ2T2dYb2AQBAq7F7dij8/JNS/qfOgW49ZCbfKPO18ScdaowxUo9UqUeqzKhznfNaK5UdkAq3OKvdDRgs449trS8D8CRCE1qFuXqK7I6GhSEelC/3EZmuyW6XBQBAh2ODFbKvPi/77mtSXZ3k98t842qZb31PJj7Q4vMbY6TuPZ0PoJNiIXy0CuOLkW/qXVJahrR/n8J/mi1bV+d2WQAAdBg2HFb4gzyFZ/xI9q2XncB05jnyzXxUvu/cGJXABMDBSBNajQkkyTctV+EH/1va8Jns//1G+v6tkQtQAQDAqbGbNyj83J+c640kKb23fD+YKjPibHcLAzooQhNalel91MIQHy2RXf2RzIQrZSZOkkns6nZ5AAC0G7bsgOwnH8qufF/a8oVzMD5B5ttTZCZcwXVGQCsiNKHVmdHny3fXLxR+8RlpW4HsGwtk31skc9k1MpdcJZPA9AEAAI7Hlh+SXbVMduUH0sa1RzaONUbm/Aky3/lXmeTu7hYJdAKEJrQJc/qZ8v3sV9KajxR+6a/Sru2yLz8r+/arMt/8rsz4K2S6nNzu40BHZ2trpQPF0qFSyRcjxfglv9/5HBMj+WPr78dIMfW3fT6W/AU6CFsZlF39kezHHzgr4R19TfDAoTJjL5Q5+wKZlB7uFQl0MoQmtBljjHTWufKNPMeZXvDys9LeXbILnpZ982VnlZ8LJ8rEMr0AHZ+tCkr7iqSSItniImlfkWzxHqlkr7R/nxQON/+kfr8TomJitDd7gMKXXi2dMYYwBbQDtrpa+vxjhT/+QPrsn1Jt6MiDffrLnHORzJhxMr1Oc69IoBMjNKHNGZ9PZuyFsqPPl13xnuyrz0n798k+9yfZf7woc+W1MudNkPHTnmjfbKhGKtwiu3eXs8nkviLZkiLn9uGDTb84Nk5K6eGEp7o6qa5Wqq11PtfVNv7Lc4Pa+udIqln/mbT+Myk7R76rphCeAA+ytSFp3WrZj9+XXb1Sqq488mB6b5mxFzmjShlZ7hUJQBKhCS4yMTEyF1wi+7WLZJe+Kfv6fOlAiewzj8oufsG5sPWcC2V8MW6XCpwUWxmUNq+XLciXLVgnbd0YCTHHlZQspabLpKZLqelSasaR2926y/hOvCuEtfZIeKqtlepCUq0TrkyoRoHPVurwq3+Ttm9S+Pe/kPoNcsLTiLMJT4CLbE21lP+p7CfLZT9bKQUrjjzYM835/97Yi6SsfvysAh5CaILrjD9WZvy3ZM+/RHbJYtk3Fkj79sjOfUR20d/lu/pfpNHn8T8PNMlaK9mGUZn6j/CXbktScveoXT9nDx+UCtY5IWnjOmnHVqeGo3Xt5vzyk5ou9UqXSasPRb3SZQKJp/zexpj6a5tipS7HPpYy5lwFx12m8OIXZN9dJG0rUPh390n9B8v37SnSiNH8TAFtxFYFZT//RPpkmezaT6TqqiMPdushM+YCmbEXSgOG8HMJeBShCZ5h4rrIfONq2Qsvk337Vdm8hdKeHQr/4SGZS74tc+1tbpcIl9l/LlX4leek8kP109Zq64NR/e2TlRCQunV3flnp1l1K7i6ldHdGd7r1iDymQGKjX2Ds/n3OCNJGJyipaOex5+51msyg4dKgYTKDR0hpGa79EmS6dpNv8s2yl02S/cdC2fdel7ZuVPh3M53wdNUUaXh0wpMN1zl/MQ8kNTlCBniNral2riMsO+BMie11mkxsXMvPW1Euu+Yj2VXLpXWfNr5GqUcvmVHnyYw+X8oZyowKoB0gNMFzTHyCzBXfl734W84veov+Lvv2qwr3zpbvwsvcLg8usFVB2eeekF32dvNf7PM5q875YpyAFaqRKoPOR9Eu2S+/19F3/LH1Aaq78wvVgeJjz987W2bQMClnmMyg4TI9ejW/xlZmklNkvnez7MRr6sPTIic8/XamNGCIfFddJw0766TCk7VWOljqrIC5a/uRz3sKpZoaZ0W/bj2k7j1lUnpK3XtJ3XtI3XvV3+8ppfRgPxm0GRsOOytRFu91Fl0pKXJulxQ5C6+UHWj8AmOklJ7O1Nm0jCNTZ+tHiU0g6cTvdajUWfXuk+XSF581vvYwLUNm9PlOUOqXw4gS0M4QmuBZJpAkM+kGhWNjneXJ//oH2dN6ywwe7nZpaEN2yxcKPznHWTzB+GQunyxzzoX1S3EfFYhijvrwxUSONRopstYJSwdLpUOlsmUHnNsHS6WDB2Qjt0ulYLnzl+H9+5wPyQlg2TlOOBo0TMo5XSYp2aX/Ms1nkrvLfO+W+pGnF2Xfe0Pa8oXCv/n/pIFDnZGn04+EJxuskHYX1oejbbK7CqVd26WKwyd+k7o6J1weKG46kHbt5gSo7r2cZZP7DpD52niZLvHR/rLRwVhrpZpqZ9GEqipnqltVZf39StnS/VJJQ0Da63yEapo+aXyCE/bLDjjnKS2RSktkN6498r4NNxK7HnUtYoaUlu6876plUsH6xlN0e2fLjK4fUeqdTVAC2jFCEzzPXPEDaed22U8+VPgPD8mXO0emZ5rbZaGV2XCd7BsvyL7yrDMVr0eqfLfe1aLQbIyRAonOR0aWmvr1xYZqGgUqJSRK/QfLxCec8vt7henWXeb7t8pO/I7s4hdll7whbd6g8K+d8KRAkhOOjjeyJknGJ52WIWVmy/R2PtQ7W+qZ5qwKWFoilR2QLS2RyvZLpftl6z+rtMRZuOLwQeejcEvkl1H7wjMyX/+mzIQrnFEpdAq2NiSV7JOKi2T37ZGK9zj9c3QYqm4IR1VSTdWRDV5Pls/njHo2hJ1epzm3e6VLqadJiV1ljHEC2eGDTi3Fe5xtARpuFxdJh8qcPxpUHJbdVnD898rOkTn7fGf6XXrvFv/3AeANhCZ4njFGuvk/nf9pFW5R+NEH5PvpQx3il1ccn92/T+G5j0gF+ZLkLLl7/R1NTouJNhMb5/xi1YH3RDHdusv84FbZiZNkF78gu2SxtHlD4yel9JSysmUynWBksrKl9CyZuBMsptGjl/MhHTeUWmul8sP1wWq/MypwoNjZxLO4SPaNBbJ5Lzl70lx2tUxW/+h+0XCFra6unxa3xwlG+/bU70+2R9pffOwCKierS4IUHy91afhIcK5TTHXCkBOK0p0RzZPYxsIYIyWnSMkpMgOHHvt1VFU6X8e++v3Viuu/DmtlRo5xghJ/1AM6JEIT2gXTpYt8d+YqfP9d0s6tCv/fb+W7/W4uOO+Awivfl/3L41JlhRSfIHPdj2TOHc+0llZkUnrIXHub7De/I/vREikuvn70qK9MYtfovpcxUtdk56PvgEiwsldfJ61eqfCbL0ub8mWXvyO7/B3p9DPlu+yaqC1YgdZlrXWuFaxfcr8hIKlsf9MvjOvihJu0DOc6ou69pPiATPyRMKQu8fUBKcGZThcb1+b/DzDxCVJWfymrf5Mj1QA6HkIT2g3TI1W+aT9TeE6utGqZ7GvPy1x1ndtlIUpsZVD22T/KrnjXOTBgiHxTf+JMpUGbMCk9ZSZ+x5339sVIo89TzOjzZLdulM17SfaTZdL6NQqvXyNl9JH5xtVOgI7CymadiT1QIpUfdBYzSAhE99x1ddKOLUf2Jtu0/sQbNyckHglF9dcCmdQMKS3DWbmSUAzAwwhNaFdMzuky10+Tffp3sq8+L9s7W+bsC9wuCy1kN29wFnso2ess9nDl92Wu+IFMDMvwdkam/2CZ2++WLdkr+/Zrsh/kSXt2OBtfL/yzc83T178l07X9LMLRlmyoxlkWf90q2bWrpD07jjyYnCKdlimTlimd1lvmtEzptEzn+p4TTbk8+tw11dLWAtn6/cm0eYNzzdHRYuOc6/9yTnfCblp9MKq/bggA2iNCE9od3wWXKrxzu+xbLyv81G/kS82Q6TvA7bJwCmxdnbOk/GvPO4s99EyTb+pdMjnD3C4NHmB6neZcc/Xta2U/yJN9+1VnRbOXn5VdtEDmvAky37hKJj3L7VJdZa2V9u4+EpI2fu4s/97A+KTEJGd/s0Nl0qEyJ/DoqBXhjHGmxJ2WGQlSJi1TSstQ5c7NqvtoqTOStK3AWcjjaAmJzkqSg5xl95WdIxPLkvIAOhZCE9olM/km2T2F0rpPFX7sAWdFveQUt8tCM9jiImexh/qFB8zXvu5cvxRIdLkyeI0JJMpMnCR7ybdlP/lQNu8lqXCz7PuLZd9fXL9ART8pq1/95/4dfrqXrQpKGz6TXbtKdt2nzijt0VJ6yAwfLTNitHT6mTKJXZ0l5Pftlt27W9q7u/HtyoojS8WvX+O8R/2pSr785t26H9nAedBw59o3NmcF0MERmtAumZgY+X743wr/8r+lvbsUfvxB+X5yPxtmtgM2HJZd8a7s8084eyYlBGSu+5F85453uzR4nPH7Zb72ddlzLpI2rlP4zZekNSuPbLD70ZIjIydJyUeFqPrPGX1Oagpaa7KVQWePIWsViSWRNdePc0z2yPLaFYdl89fIrlslbcpvvHGq3y8NGn4kKGX2PSY0mkCi1G+QTL9BjWuy1hmF2rtLdu8e5/O++jBVXCR/j16qGzC0PiQNc66N6sCBFACOh9CEdssEkuT7ca4TnDatl/3rH6R//TH/M/coa62Uv1rhF5+RCjc7BwcOdfZeYrEHNIMxRhoyQjFDRjj7P23fIrtzqxOedm6TinY5IWDDZ7IbPpNUn0GMT0rv7QSohv2lep0m9UiN+ginra6W9hQ6GwLvrg91uwq/ehW55kjLcELS8NHSkBGnvA2Ds6JhN6lrt2OmxhpjlJGRoT179jg/wwDQSXkqNC1cuFArV67Url27FBcXp8GDB+v6669XZmamJKm8vFzz58/XmjVrVFJSouTkZI0dO1bXXnutAoHorgiE9sGkZzkjTr+7T3bpm85flC/5tttl4Uvs1o0KvzBP+uJz50CXBJlvTZaZ+B0We0CLmJSeUkpPmTPHRo7Zmmppz04nQO3c5gSqnVud/aH27JDds0P6+AM1igAJAalHqhOgeqYee7tbj+P2qq2tda4n2r3d2YR793ZnY+CSvSfegDXyhx1zZDMrYxS5Y3TUbXPkvj/WuXZoxGiZ4aOca44AAG3CU6EpPz9fEydO1MCBA1VXV6fnnntO999/vx555BHFx8frwIEDOnDggG644QZlZWWppKRETzzxhEpLS/WTn/zE7fLhEjNitHON09+fkv3bXNmMLJlho9wuC5Lsnh0Kv/QXadVy54DfLzP+Cicwde3mam3ouExcFyl7oEz2wMgxa610sNQJUbu2OZ9375AO7HPCVGXQCTu7tjcKU5HbPp+z0W9DkAqHZXcXOqNadV9aGKFBUvKREa3efZ0NgjP7ct0eALRDngpNubm5je7feeedmjp1qrZs2aJhw4apb9++mj59euTx9PR0XXvttfr973+vuro6xfAX607LfONq55edZW8r/MfZ8v1sjrMCFFxhDxTLvvKc7LJ3JBt2lhE/72KZq6bI9Exzuzx0QsYYKaWHs0DCiNGNHrPVVdKBEmcRhP37jiyIcKBE2r9PKi1xrh9qOL7pSyePT3DCUWbfxp9ZnAYAOgxPhaYvCwaDkqSkpKQmn5OQkHDCwBQKhRQKhSL3jTFKSEiI3G6phnNwHY27jDGyN9ypur27pM0bFH70fsX87Fdt/hfdo/vAGNOsvugIvWTLDyn8+t9l331dqnV+7syoc+W75nrnr+1oEx2hl9qSiU+QMvs4H8dhw3XOUt37i2X3FztByhhn1Kh3X2f0qYP+t6aXEC30EqLBzT4y1qNXdobDYc2ePVsVFRX6xS9+cdznHDp0SP/v//0/XXjhhZoyZcpxnzN//nwtWLAgcr9///6aNWtWq9QM99UdKNHe/7pRdSV7FT/mfPW659dtes1MRUVFJOSXl5crMbFzTMMJVwZ1+OVndfiFPzvLGkvqcsZodbvp39Rl6BkuVwcAANAyng1NTzzxhFavXq377rtPPXv2PObxYDCo+++/X0lJSbr77rvl9x9/0OxEI03FxcWq/fIGfafAGKP09HQVFRWxspBH2O2bVDfrp1JNjczESfJNvrnN/iIRDAaVk5MjSdq0aVOzFihpj71ka0Oy7/9D4Vf/Jh0ucw72HSDfd250LlTnL4quaI+9BG+ilxAt9BKioTX6yO/3KzU19aufF5V3i7K5c+dq1apVmjlz5nEDU2VlpX75y18qISFB06dPP2FgkqTY2FjFnmBn8mj+0Fpr+UfAK/oOlLnpP2T/9LDsPxaqbvcO+ab8sE2WtT66B061J7zYS9ZaJxQdKJEOlMiW1l//sWr5kU010zJkrrle5uwLZHy+I6+Da7zYS2if6CVEC72EaHCjjzwVmqy1euqpp7Ry5Urde++9Sks79oLxYDCoBx54QLGxsbr77rsVFxfnQqXwOt/YCxU+eEB2wTzp838qvOEzmSu+L3PZJJkThOjOzAYrnIvdGy5+P1AilTbcLpZK90euUTpGt+4yV14rM+4bMk38AQMAAKC98tRvOHPnztXSpUt19913KyEhQWVlZZKkQCCguLi4SGCqrq7Wv/3bv6myslKVlZWSpOTkZPnq/7oNSJLv0qtlR5yt8F//4Gxy+dJfZFe8K991P5I5/Uy3y3OFDVY4G21G9q/ZJu3eIVVWfPWLjZGSu0s9ekk9esl0T5Uyest87WKZLl1au3QAAADXeCo05eXlSZLuvffeRsenTZum8ePHa+vWrSooKJAk/fu//3uj5zz66KPHHZlC52bSs+S76xeyK9+X/ftTUtEuhR/5ucw5F8l87xaZlB5ul9gqbF2dtG/PkXBUvy+N9u878YsSu0rd6wNRj1QnHHXvJdOjl7O5Z0oPGT+jdAAAoPPxVGiaP39+k48PHz78K58DfJkxRuZrX5c9Y4zsy3+VfXeRE6I+/6fM1dfLXHy5jK997/FltxXIFuQfNXpUeOLpdN17SVn9ZLKypd79nKXAU9NlusS3ac0AAADthadCE9CaTCBRZsoPZc+foPBfHpe2Fcg+/yfZZW/Jd/00mf6D3S6x2ezmDQq//Fdp/ZpjH4zr4mywmdWvPiT1c0JS4on3PQMAAMCxCE3odEx2jnz/M1v2/TzZhc9IhVsUfvC/ZS6cKPOdf20XocJuLVD4lWeltZ84B2L80hlny/QZEAlJ6nVaZBU7AAAAnDpCEzol44uRGX+57OhzZf/+tOyKd2XfXyz76XKZyTfLnHexJ/cYsoWbFX7lOWnNSueAzydz/iXOyoC9TnO3OAAAgA6K0IROzSR3l7n1v2THfUPhvz4u7dkh+3+/kf3wTfmuu0Omd1+3S5Qk2Z3bFH71OWnVcueA8cmcO17myh/IpGW4WxwAAEAHR2gCJJkhI+S75zeyb74i+9rz0sZ1Cv/iP50RnMu/69qqcXbPDtlXnpP959L6Qo3M2Atlvn2tTHqWKzUBAAB0NoQmoJ7xx8pc/l3Zcy5U+Nk/Sp99LPvKs7KffCjfjf8u039Qm9Vii3bJvva87Mr3pfodr83ZF8h8e4pnRr8AAAA6C0IT8CWmZ5p8P54h+/EHss/9Sdq13Vko4htXyVz1L626kWvtnp2qe+p3ssvfk2zYOXjWufJdPUUmq3+rvS8AAABOjNAEHIcxRuaci2RPP0v2b0/IfrRENu8l2U9XyPevP5YZOjJq72WtlTZvUHjJG9qz8gMpXOc8MHKsfFdNkcnOidp7AQAAoPkITUATTNdkmak/kT3nImdvp+IihefMkLloosx3b5IJJJ7yuW1VUHbFEtkli6WdW4+85/DRMldNkRkwJBpfAgAAAFqI0AScBDNyrHwzh8u+8LTsksWy7/9D9rOPnU1xzzynWeeyu7bLvveG7Ip3papK52BsnMzYcUqd/K86kNzTGX0CAACAJxCagJNkEgIy10+THXuRws/8Xtq3R+FH73dWs7v2NpnklBO+1oZCsquWyb73hrQp/8gDaZkyX/+mzAWXyJeUrC4ZGdKePa3/xQAAAOCkEZqAZjJDRsj3//3OWQo87yVnwYj1q2V+cJvsGWMbPdcWFzmjUh++JR0+6Bz0+aSzvibf1y+Xho6U8flc+CoAAABwsghNwCkwcV1kJt8kO+YChef9Xtq5TXbuIwoPOTPynLr/fVDhjZ9FlgxXSg+ZCyfKXHiZTPeeLlUOAACA5iI0AS1g+g2SL/cR2X+86GyKu27VkQfXrZL8MdKws5xRpTPPkYmJca9YAAAAnBJCE9BCxu+XueL7sqPPk578taTVzvEJV8p32dUyp2W6Wh8AAABahospgCgxGX3k+6+Zkfu+795IYAIAAOgACE1AFBkf0+8AAAA6GkITAAAAADSB0AQAAAAATSA0AQAAAEATCE0AAAAA0ARCEwAAAAA0gdAEAAAAAE0gNAEAAABAEwhNAAAAANAEQhMAAAAANIHQBAAAAABNIDQBAAAAQBMITQAAAADQBEITAAAAADSB0AQAAAAATfC7XYBb/P7ofunRPh/apy5dumjUqFGR27Gxsc0+B72EaKGXEC30EqKFXkI0RLOPTvZcxlpro/auAAAAANDBMD2vhSorK/XTn/5UlZWVbpeCdo5eQrTQS4gWegnRQi8hGtzsI0JTC1lrtXXrVjFgh5ailxAt9BKihV5CtNBLiAY3+4jQBAAAAABNIDQBAAAAQBMITS0UGxuryZMnn9IqacDR6CVEC72EaKGXEC30EqLBzT5i9TwAAAAAaAIjTQAAAADQBEITAAAAADSB0AQAAAAATSA0AQAAAEAT/G4X0N4tXrxYr776qsrKypSdna1bbrlFOTk5bpcFD8vPz9crr7yirVu3qrS0VNOnT9c555wTedxaq/nz5+vtt99WRUWFhg4dqqlTpyojI8PFquE1Cxcu1MqVK7Vr1y7FxcVp8ODBuv7665WZmRl5Tk1NjZ555hktW7ZMoVBIZ555pqZOnaqUlBT3Cofn5OXlKS8vT8XFxZKkrKwsTZ48WaNGjZJEH+HUvfTSS3r22Wf1rW99SzfddJMk+gknZ/78+VqwYEGjY5mZmfrNb34jyZ0+YqSpBZYtW6ZnnnlGkydP1qxZs5Sdna0HHnhABw8edLs0eFh1dbX69eunW2+99biPv/zyy3rjjTd022236Ze//KW6dOmiBx54QDU1NW1cKbwsPz9fEydO1AMPPKAZM2aorq5O999/v6qqqiLPmTdvnj755BPdddddmjlzpkpLSzVnzhwXq4YX9ejRQ9ddd50eeughPfjggxoxYoRmz56tHTt2SKKPcGo2bdqkN998U9nZ2Y2O0084WX369NGf/vSnyMd9990XecyNPiI0tcBrr72mSy65RBdffLGysrJ02223KS4uTu+++67bpcHDRo0apWuvvbbR6FIDa60WLVqk73znOxo7dqyys7P14x//WKWlpfr4449dqBZelZubq/Hjx6tPnz7q16+f7rzzTpWUlGjLli2SpGAwqHfeeUc33nijRowYoQEDBmjatGn64osvtHHjRperh5eMGTNGo0ePVkZGhjIzMzVlyhTFx8eroKCAPsIpqaqq0u9//3vdfvvtSkxMjBynn9AcPp9PKSkpkY/k5GRJ7vURoekU1dbWasuWLTrjjDMix3w+n8444wx+8HHK9u3bp7KyMo0cOTJyLBAIKCcnh75Ck4LBoCQpKSlJkrRlyxbV1dU1+jeqd+/e6tWrF72EEwqHw/rwww9VXV2twYMH00c4JU8++aRGjRrV6P9lEv8uoXmKiop0++2368c//rF+97vfqaSkRJJ7fcQ1Tafo0KFDCofDx8ydTElJ0e7du90pCu1eWVmZJKlbt26Njnfr1i3yGPBl4XBYTz/9tIYMGaK+fftKcnrJ7/c3+iuvRC/h+AoLC5Wbm6tQKKT4+HhNnz5dWVlZ2rZtG32EZvnwww+1detWPfjgg8c8xr9LOFmDBg3StGnTlJmZqdLSUi1YsED33HOP5syZ41ofEZoAoJ2bO3euduzY0Wi+N9AcmZmZevjhhxUMBrVixQo99thjmjlzpttloZ0pKSnR008/rRkzZiguLs7tctCONSxEI0nZ2dmRELV8+XLXeovQdIqSk5Pl8/mOSbRlZWWsAINT1tA7Bw8eVPfu3SPHDx48qH79+rlTFDxt7ty5WrVqlWbOnKmePXtGjqekpKi2tlYVFRWN/hp38OBB/o3CMfx+v9LT0yVJAwYM0ObNm7Vo0SKdf/759BFO2pYtW3Tw4EH99Kc/jRwLh8Nav369Fi9erNzcXPoJpyQxMVGZmZkqKirSyJEjXekjrmk6RX6/XwMGDNDatWsjx8LhsNauXavBgwe7WBnas7S0NKWkpOjzzz+PHAsGg9q0aRN9hUastZo7d65Wrlype+65R2lpaY0eHzBggGJiYhr10u7du1VSUkIv4SuFw2GFQiH6CM1yxhln6Fe/+pVmz54d+Rg4cKDGjRsXuU0/4VRUVVWpqKhIKSkprv27xEhTC1x55ZV67LHHNGDAAOXk5GjRokWqrq7W+PHj3S4NHtbwg99g37592rZtm5KSktSrVy9961vf0osvvqiMjAylpaXp+eefV/fu3TV27FgXq4bXzJ07V0uXLtXdd9+thISEyKh3IBBQXFycAoGAJkyYoGeeeUZJSUkKBAJ66qmnNHjwYH45QSPPPvuszjrrLPXq1UtVVVVaunSp8vPzlZubSx+hWRISEiLXVTbo0qWLunbtGjlOP+FkPPPMMxozZox69eql0tJSzZ8/Xz6fT+PGjXPt3yVjrbWtdvZOYPHixXrllVdUVlamfv366eabb9agQYPcLgsetm7duuNeK/D1r39dd955Z2Rz27feekvBYFBDhw7Vrbfe2mjTUuD73//+cY9PmzYt8oebhs3/PvzwQ9XW1rKJJI7r8ccf19q1a1VaWqpAIKDs7GxdffXVkZXP6CO0xL333qt+/fods7kt/YSm/OY3v9H69et1+PBhJScna+jQobr22msj04jd6CNCEwAAAAA0gWuaAAAAAKAJhCYAAAAAaAKhCQAAAACaQGgCAAAAgCYQmgAAAACgCYQmAAAAAGgCoQkAAAAAmkBoAgB0GlVVVfrBD36g1157ze1SAADtCKEJANBpFBYWylqrvn37ul0KAKAdITQBADqNwsJCSSI0AQCahdAEAOg0CgsL1bVrV6WkpLhdCgCgHSE0AQA6jR07dqhPnz6Njr311luaMmWKnn76aYXDYZcqAwB4md/tAgAAaCuFhYW64IILJEl1dXV6+umn9dZbb+nWW2/VpZde6nJ1AACvIjQBADqF0tJSHT58WH369FF5ebkeeeQRbdu2TTNmzNDw4cPdLg8A4GGEJgBAp7B9+3ZJkjFG//M//yO/369f/vKXSk9Pd7kyAIDXcU0TAKBTaFg5b+7cuerWrZvuv/9+AhMA4KQw0gQA6BQKCwuVmpqq0047TTt27FBVVZUSExPdLgsA0A4w0gQA6BR27Nih7Oxs/ed//qdiY2P1q1/9SjU1NW6XBQBoBwhNAIAOLxwOa+fOnerbt6+Sk5M1ffp0FRYW6sknn3S7NABAO0BoAgB0eHv27FEoFFLfvn0lSQMGDNBtt92m9957T4sXL3a5OgCA13FNEwCgw2tYBKIhNEnS+PHjtWnTJs2bN099+/bVsGHD3CoPAOBxxlpr3S4CAAAAALyK6XkAAAAA0ARCEwAAAAA0gdAEAAAAAE0gNAEAAABAEwhNAAAAANAEQhMAAAAANIHQBAAAAABNIDQBAAAAQBMITQAAAADQBEITAAAAADSB0AQAAAAATSA0AQAAAEATCE0AAAAA0IT/H8/T+WUp0+SUAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 5))\n", "\n", "ax = fig.add_subplot(111)\n", "ax.plot(np.arange(1,50),MISE_list)\n", "ax.axvline(k_opt,color='k',label='$k^{opt}$')\n", "ax.set(xlabel='$k$',ylabel='MISE')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kreg = KRegression(X,Y,bw=nu_opt)\n", "knnreg = KNNRegression(X,Y,k=k_opt)\n", "fig = plt.figure()\n", "plt.plot(X, Y, 'o', alpha=0.5, label='Data')\n", "plt.plot(x_lin, g(x_lin), 'k-', label='$g(x)$')\n", "kreg.plot_reg(color='b', label='Noyau, $\\\\nu=\\\\nu^{opt}$')\n", "knnreg.plot_reg(color='g', label='KNN, $k=k^{opt}$')\n", "plt.legend(loc='best')\n", "plt.show" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Kernel: Mean = -0.0826293794712899; Std = 4.3558934389578825\n", "KNN: Mean = 0.07966214386571671; Std = 4.120151462576697\n" ] }, { "data": { "text/plain": [ "[Text(0.5, 0, 'Residuals'), Text(0, 0.5, 'Density')]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Kreg = KRegression(X,Y,bw=nu_opt)\n", "residuals = Kreg.residuals()\n", "\n", "KNNreg = KNNRegression(X,Y,k=k_opt)\n", "KNNresiduals = KNNreg.residuals()\n", "\n", "print(f'Kernel: Mean = {np.mean(residuals)}; Std = {np.std(residuals)}')\n", "print(f'KNN: Mean = {np.mean(KNNresiduals)}; Std = {np.std(KNNresiduals)}')\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "ax1 = fig.add_subplot(121)\n", "ax1.title.set_text('Residuals-kernel')\n", "ax1= sns.histplot(residuals,\n", " stat='density',\n", " color=\"skyblue\",\n", " alpha=.5)\n", "ax1.set(xlabel='Residuals', ylabel='Density')\n", "\n", "ax2 = fig.add_subplot(122)\n", "ax2.title.set_text('Residuals-KNN')\n", "ax2= sns.histplot(KNNresiduals,\n", " stat='density',\n", " color=\"skyblue\",\n", " alpha=.5)\n", "ax2.set(xlabel='Residuals', ylabel='Density')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 4 }