diff --git a/SolidState/ElectronBands.ipynb b/SolidState/ElectronBands.ipynb index 2db7162d4d617f48ef1aeba643c8ac62f6538b19..4442cb87d4e9b0201c692c677d6b8d99732df19e 100644 --- a/SolidState/ElectronBands.ipynb +++ b/SolidState/ElectronBands.ipynb @@ -13,13 +13,278 @@ "source": [ "En el presente notebook se presenta un análisis de la dispersión de electrones en una red de perovskita $ABO_3$. Para esto, se implementan 3 modelos: Empty Lattice, Kronig-Penney y Tight Binding. La celda primitiva es una celda cúbica con átomos A en las esquinas, átomos O en las caras y un átomo B en el centro, como se muestra en la siguiente figura:\n", "\n", - "<img src=\"PerovskiteCrystal.png\" width=\"300\">\n" + "<p align=\"center\">\n", + " <img src=\"https://gitmilab.redclara.net/mantillan/TrabajosPregrado/-/raw/main/SolidState/PerovskiteCrystal.png\" width=\"30%\" />\n", + "</p>\n", + "\n", + "De esta forma, los vectores de la red son los de un Simple Cubic:\n", + "\n", + "\\begin{equation*}\n", + "\\mathbf{a}_1 = a \\hat{x}, \\quad \\mathbf{a}_2 = a \\hat{y}, \\quad \\mathbf{a}_3 = a \\hat{z},\n", + "\\end{equation*}\n", + "\n", + "donde $a$ es la longitud de la celda cúbica. De modo que la red recÃproca es también una red cúbica con vectores:\n", + "\n", + "\\begin{equation*}\n", + "\\mathbf{b}_1 = \\frac{2\\pi}{a} \\hat{x}, \\quad \\mathbf{b}_2 = \\frac{2\\pi}{a} \\hat{y}, \\quad \\mathbf{b}_3 = \\frac{2\\pi}{a} \\hat{z}.\n", + "\\end{equation*}\n", + "\n", + "La base de la celda primitiva es entonces:\n", + "\n", + "\\begin{equation*}\n", + "\\mathbf{t}_A = \\mathbf{0}, \\quad \\mathbf{t}_B = \\frac{a}{2} (\\hat{x} + \\hat{y} + \\hat{z}), \\mathbf{t}_{Oi} = \\left\\{ \\frac{a}{2} (\\hat{x} + \\hat{z}), \\frac{a}{2} (\\hat{y} + \\hat{z}), \\frac{a}{2} (\\hat{x} + \\hat{z}) \\right\\}.\n", + "\\end{equation*}\n", + "\n", + "Se usarán estos vectores para calcular la dispersión de electrones en la red con los distintos modelos. Además, se graficará siempre sobre el camino $\\Gamma - X - M - \\Gamma - R$ en el espacio recÃproco. Procedemos a realizar estas definiciones." + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [], + "source": [ + "# Importamos librerÃas útiles\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['figure.figsize'] = (8,6)\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 10\n", + "plt.rcParams['ytick.labelsize'] = 10\n", + "plt.rcParams['font.size'] = 15\n", + "\n", + "# Definimos los vectores de la red cúbica simple\n", + "a = 5e-10 # parámetro de red en metros (Ã…)\n", + "a_i = a*np.array([[1,0,0],[0,1,0],[0,0,1]]) # vectores de la red\n", + "b_i = 2*np.pi/a*np.array([[1,0,0],[0,1,0],[0,0,1]]) # vectores de la red recÃproca\n", + "\n", + "# Definimos los vectores de la base de átomos\n", + "tA = np.array([0,0,0]) # posición del átomo A\n", + "tB = a*np.array([1/2,1/2,1/2]) # posición del átomo B\n", + "tO1 = a*np.array([1/2,1/2,0]) # posición del átomo O1\n", + "tO2 = a*np.array([1/2,0,1/2]) # posición del átomo O2\n", + "tO3 = a*np.array([0,1/2,1/2]) # posición del átomo O3\n", + "\n", + "# Definimos los puntos del camino en el espacio recÃproco\n", + "GAMMA = np.array([0,0,0]) # punto \\Gamma\n", + "X = np.pi/a*np.array([1,0,0]) # punto X\n", + "M = np.pi/a*np.array([1,1,0]) # punto M\n", + "R = np.pi/a*np.array([1,1,1]) # punto R\n", + "\n", + "# Obtenemos el espacio de puntos para el camino en el espacio recÃproco G-X-M-G-R\n", + "N = 100 # número de puntos por segmento\n", + "k_GX = np.array([np.linspace(GAMMA[i],X[i],N) for i in range(3)]).T\n", + "k_XM = np.array([np.linspace(X[i],M[i],N) for i in range(3)]).T\n", + "k_MG = np.array([np.linspace(M[i],GAMMA[i],N) for i in range(3)]).T\n", + "k_GR = np.array([np.linspace(GAMMA[i],R[i],N) for i in range(3)]).T\n", + "k_path = np.concatenate((k_GX,k_XM,k_MG,k_GR))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. Modelo Empty Lattice\n", + "\n", + "En este modelo, se asume que la red es un cristal vacÃo, es decir, no hay interacción entre los electrones. Por lo tanto, la dispersión de electrones es simplemente la energÃa cinética de los electrones, trasladada por un vector de la red recÃproca:\n", + "\n", + "\\begin{equation*}\n", + "E(\\mathbf{k}) = \\frac{\\hbar^2 (\\mathbf{k}+\\mathbf{G})^2}{2m},\n", + "\\end{equation*}\n", + "\n", + "donde $\\mathbf{G} = h \\mathbf{b}_1 + k \\mathbf{b}_2 + l \\mathbf{b}_3$ es un vector de la red recÃproca y $m$ es la masa del electrón. AsÃ, solo queda recorrer diferentes valores de $h$, $k$ y $l$ para obtener las bandas de energÃa de los electrones en la red." + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Definimos las constantes fÃsicas\n", + "m = 9.11e-31 # masa del electrón en kg\n", + "hbar = 1.05e-34 # constante de Planck reducida en J s\n", + "e = 1.6e-19 # carga del electrón en C\n", + "\n", + "# Definimos la función energÃa\n", + "def E(k_e):\n", + " # Iteramos sobre h, k y l (-1,0,1) para obtener las bandas de energÃa\n", + " bands=[]\n", + " init = -1\n", + " Gs = [(h,k,l) for h in range(init,2) for k in range(init,2) for l in range(init,2)]\n", + " for G_ in Gs:\n", + " if np.dot(G_,G_)==3.0:\n", + " continue\n", + " G = np.dot(G_,b_i) \n", + " bands.append(hbar**2*np.dot(k_e+G,k_e+G)/(2*m*e)) # EnergÃa en eV\n", + " return bands\n", + "\n", + "# Obtenemos las bandas de energÃa\n", + "bands_empty = np.array([E(k) for k in k_path]).T\n", + "\n", + "# Quitamos algunas bandas para mejorar la visualización\n", + "bands_empty = np.delete(bands_empty, [18,17,13], axis=0) # eliminamos las bandas 19, 18 y 14\n", + "\n", + "# Graficamos las bandas de energÃa\n", + "n_graf = len(bands_empty) # número de bandas a graficar\n", + "for i in range(n_graf):\n", + " plt.plot(np.arange(len(k_path)), bands_empty[i])\n", + "plt.xticks([0,N,2*N,3*N,4*N],['$\\\\Gamma$','X','M','$\\\\Gamma$','R'])\n", + "plt.xlabel('Camino en el espacio recÃproco')\n", + "plt.ylabel('EnergÃa (eV)')\n", + "# plt.ylim(0,400)\n", + "plt.title('Bandas de energÃa mediante Empty Lattice')\n", + "plt.grid()\n", + "plt.show()" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. Tight Binding\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3Ii4uzuF2hw0bhsGDB6OlpQVffPGFw/tMmDABZ555psPb3n33XQBtearXXXddh9uVSiXmzZvn8LHd1aNHD4waNQoA8PXXX3u8ncLCQim/Um78+PHS37Nnz3ZYv1m8T3l5uVRCDGjb18TSWHfddRdUKsdFkSZNmoT4+HgcPXrUJn9e7NeZmZlSrqlcVFQU5s+f787L6zJ339fJkydj0KBBHa5PSUnBiBEjAAC//PKLR23w5X7pK+K+MHLkSFx44YUdbo+JicE999zj1rY82d994ejRozbnOTEH3GQy4fjx46iqqurW9p0dG8TXuXfvXjQ1NUnXHz9+XPqs77nnHqksn9z48eOl/uepzMxM6bhs74orrgDQsW//73//g16vBwA89NBDDh971113BV3pQF9gkEwA2k6E8n9GoxE//fQTpk+fjvXr12PkyJFOZ/42NjbiqaeewqhRo5Camoro6GibRUlEriZlnXPOOQ6vz8jIkP6uq6uT/t6/f790ecyYMU636+q27rT9sssuAwBMnz4dd911F0pLS20OgJ7Ytm1bp212dZsYBCxduhTp6elO/3322WcA2ibFuEvcttVqxamnnup02xMmTADQNvnt2LFjDrfV1c+6sbFROojPnz/f5Wv7/fffXb62888/3+lrFCcjjRw50unqWueff77TINEd69evx5QpU9C/f3/odDqbCUmrVq0C0DYh1FNnn322w+vl9XL/8pe/dHqf48ePS3+XlZVJn8eMGTOcvve9e/eWJhrJ33+xXxcUFDh9X0eOHBnQ99VZnwTa+6W8T3aFL/dLXxH3BfELhiPurvLW1f3dV/bv329zjjOZTPjtt99wzz33YPPmzbj00kvx4osverTtpKQkh19OAdvXKZ/A9+OPP0qT5rpzDuvMX/7yF4dfUuRts3//xc8/KyvLab33uLg4DBs2rFttCwWsk0wOxcTEYOjQoVi2bBnq6urw/vvvY8aMGaisrER8fLx0vz179uCiiy6yOQHFxsaiZ8+e0o4pjkLLR6fsORsdlJ845bO/a2trpb+djc4AbSM0znSn7U8++ST27t2LL774AkuWLMGSJUsQFRWFoUOH4tJLL8Xs2bNdtssR8TV58nrMZrM0i7+hoQENDQ2dPl9XgnpxlKW1tdXtXxWcbb+rn3V1dbV0MnH3ZOrsuR394iA6cuQIANuTmj2NRoPk5ORO68/as1qt+Nvf/oYVK1ZI16lUKiQmJiI6OhpA2+fW3Nzscj/pjDvvbVfff/kIm/gedUb+/rvTr2NiYtCrV68u/2LlrffV2Xsibg+AR9UnfL1f+oo7+4K7x7eu9jd/iY6OxqBBg/DEE0/AYrFgyZIl+L//+z+MHz8eubm5XdqWO/0H8P45zFtts3//3fn8Aff7QCjjSDJ16qabbgLQdpD/+OOPbW674YYbcOjQIeTk5ODdd9/FsWPHYDAYUFtbi+rqapsRWMFFObXucDY61ZnutL1nz574/PPP8dVXX+Hee++VRhi3b9+ORYsWYcCAATYnbm+9Hme3yVMbxFJonf3rytK04vYHDRrk1rYFQfDaCmTy1/bdd9+59dzOykSJK245In7GnfUnT/rxK6+8ghUrViAqKgoLFizAH3/8AZPJhLq6OlRXV6O6ulpKDfLVfuIp+ftfXV3t1vvvqCSUp/upK8H+vvp6v/Q1X3xmwejGG28EAFgsFinVJJL58lgYahgkU6eys7Olv+W1Vg8ePIgtW7YAAFasWIHJkycjKSnJ5rFdHXFzl3xE0NXPqM5SPLzV9gsuuABPPPEEvv76axw/fhxr167FkCFDYDQaMXPmzC6NjImvydXrcXZbTEyMVBB/586dbj+nu9LT0wEA+/bt69ZIpyfkaQC+eG0i8f13lZtoMpmcppG4Iubl3njjjVi4cCFOOeWUDj+B+mpf6S7xswc8e//d6dfh+r76er/0lZSUFACu94XOapqHEmfnOF+Sn8NcvZeBeJ/dORa6c3s4YJBMnZKf3HQ6nfT3wYMHpb+dTYYS8+y8rV+/flJQ62ySFgB8/vnnDq/3RdtjYmJwxRVXYM2aNQDaFl7oyiSs4cOHA/Ds9QDt+bbvvvuuywLxnhC33dLSgvfff9+r2+5MYmIi8vLyALQHRb4gLiVdWlrq9D7ffPMNLBZLl7ct9jdnfe3EiRP4/vvvu7xdf8jPz5dSrDx5/8V+XVpa6nTkafPmzSH5voojba5G1Hy5X/qKuC+4WiSkswVEukP8ouOvkUpn5zhfOuuss6TX6ekx31fEz7+iosJmoSW5EydOdGmBq1DFIJk6tXz5culv8YQHQBohAdqqH9hrbGzE4sWLfdImhUKBoqIiAMBLL73kcFWtsrIyvPfeew4f3522WywWlyc7+SxlVz/v25syZQqAtok+jk5ARqMRTz31lNPHz549G0BbrrWr+wFtOdYtLS1ut2348OFSIPLQQw91mpvq7Yk44mvbtGlTp4Gap88t/ix/4MABmz4vEgQBjz32mEfbFvubo74GAI888ggaGxs92ravqVQqzJw5EwDw+uuvd/rFz/79F/t1ZWUlXn/99Q73t1qtHh8nAv2+il8e5BMd7flyv/QVcV/YvHkzvvnmmw63m0wmPP300z57fnfeV29ydo7zpZ49e2LcuHEAgKeffhrNzc0d7vPZZ59Jv3j607hx46TPwNkx75lnngmK/HlfY5BMTlVXV2PevHnSie3cc8+1KUeTl5eHrKwsAMDMmTNtvlV+++23KCgo6HQ5zu544IEHEBcXh6NHj2Ls2LHSLHpBELBhwwZcfPHFTkvUdKfthw4dwoABA7B48WL89NNPNiNgv/zyC/72t78BaBuRGDlypNuvp7CwUPoGX1hYiNWrV0s5jb/99hsuvvhim8ke9iZOnIgrr7wSAHD//ffjlltuwZ49e6TbW1pa8P333+O+++5Ddna2y23ZUygUeOmll6DRaFBZWYlzzjkH7733ns1B8s8//8Rbb72FsWPH4r777nN72+74+9//Ls2SnzZtGubNm2fza0BTUxO+/PJLzJkzp8uTbkQXXnghxo4dC6AtD7+kpAQmkwlA22d+3XXX4auvvvKo7JFY9eO///0vli5dKgVC1dXVuPPOO/Hkk086LMsWLObPn4/c3FxYLBZMmDABS5Yssfmi1NDQgE8//RTTp0/vUDLsnHPOkUpN3XLLLfjvf/8rva+VlZWYMmUKvv3225B8X/Pz8wEAb7/9ttOAwZf7pa9MmTIFgwcPhiAIuOqqq7B27VrpWPT777/jsssu82kai/i+6vV6qTqJL9TX1+PZZ5+VAsGcnBxcddVVPns+e4888giioqKwe/duXHrppVJ1HovFglWrVqGoqEgqN+pPOp1OOob/97//xb333it9+W1sbMQTTzyB4uJiJCYm+r1tftetKssU0pwtJpKWltZhudkhQ4YIf/75Z4dtrFu3zmaZ0djYWGnlrNjYWOGzzz5zq+C8K84eLwhthfrly1LHxcVJC310tiy1p23fv3+/zXsTFRUlJCUl2SzvGx0dLbz77rtufQ5y5eXlQmZmprQdjUYjfRbuLEttMBiEa665xqZ9Op3OZjlR8Z+zhQ1c2bBhg9CrVy+b196rVy/pfRP/2Ren98ZnfeTIEWHMmDE2zxMfH99hGWKVStXhsa6WPJY7fPiwzSIJ8mWplUqlsHTpUiErK0sAIKxYscLt9tfX19tsV1weVmz3zTff3K0lXt15fa7eW0Gw7deOlvDdt2+fcMYZZ9i8/z179pQWHRD/OVo04ejRozaPtV/u+9///rdHy1J39311531z9Xhx0Q3xNfXp00fIzs4Wzj//fJv7+Xq/lPPWstS//fabkJ6e7vBYpNFohHXr1km3ias3iryxv4urmorH9ezsbCE7O1t45plnOn1dIleLiSQlJdkcN7KysoRdu3Z12Ia7y1I709l+9fLLL9u0IyEhQTqneWtZ6s7eH0fbNpvNwuTJk232rcTERGmhsWnTpgnXX3+9tJ+FK44kEwDbxURqamrQ1NSE9PR0jB8/Hv/973+xbds2h+VgLrvsMqnGZM+ePWGxWJCcnIwbbrgBP/74o8NFMbzp0ksvxY8//ohrrrkGqampaGlpQVpaGubMmYOffvrJaY3H7rS9T58++PDDD3HnnXfi3HPPlerDqlQq5OXl4R//+Ad27drl0UIm/fv3x44dOzB37lz069cPgiAgJiYGkydPxpYtW6QROWdiY2OxYsUKfPHFF5g2bRr69+8Pq9WKEydOIDU1FWPGjMGTTz6JP/74w6PyPWPHjsXevXvx+OOP44ILLkBCQgKOHz8OpVKJvLw8zJo1Cx9++CGef/75Lm+7M8nJyfjss8+wdu1aTJ48GZmZmTCZTDAajejTpw8uvvhivPDCC05z6NyRnp6OrVu3Yt68eRg4cCCUSiVUKhUuueQSfP7557jpppukMl5dGeHp2bMntmzZgjvuuAM5OTmIioqCSqVCQUEBVqxYgZdeesnjNvtLv379sG3bNrzxxhu47LLL0Lt3byk9oF+/frjyyivx6quv4ttvv+3w2F69emHLli1YuHAhBg0aJL2vEyZMwMaNG3Hrrbd61KZAv69/+9vf8Oabb+KCCy5AbGwsDh8+jIqKig6TFH29X/rCoEGD8Msvv+D2229HTk6OdCwqKirCd999Z1Nz3Bejne+99x7uvPNODBw4EGazGRUVFaioqPA4BcN+MRG9Xo9evXqhoKAAS5Yswa+//orBgwd790W4Yfbs2fjmm29w+eWXIykpCSaTCdnZ2XjggQfwww8/BGy0VqVSYdWqVVi2bBnOPvtsaLVaWCwWDB8+HMuWLcMbb7whfRaBGO32F4UgREANDyIiL/jjjz8wcOBAAG2pApmZmQFuEVFgbNy4EePGjYNGo0FjYyPUanWgm0R+JAgCsrKycOjQIbzxxhuYNm1aoJvkExxJJiJy0+OPPw6gLaedATJFKkEQ8MQTTwAALrroIgbIEejNN9/EoUOHoFKpfP6LcSAxSCYiOmn37t248cYbsXnzZpuqCLt378YNN9yA1157DUDbBCyicPbFF1/gjjvuwLZt22A0GgG0Bcfbt2/H5Zdfjk2bNkGhUODee+8NcEvJV6699lq89957NtWjampq8P/+3/+TFhm7/vrrO12ZL5Qx3YKI6KQdO3bY1NxNSEiA2Wy2qVxw++2347nnngtE84j85oMPPpCqcgBt9cqNRqNUqkyhUODpp5/G3LlzA9VE8rGePXtKczBiY2OhVqttlla/8MILsX79eqlcXDhikExEdFJjYyOWLl2Kzz77DL///jtqa2thsViQmpqKESNGYPbs2WH90yKRqLq6GsuWLcOmTZuwb98+HDlyBIIgICMjAxdeeCHmzJnjt5rCFBhvvPEGPvnkE/z000+ora3FiRMn0LNnTwwdOhTXXHMNpk2bFvapNgySiYiIiIjsMCeZiIiIiMiOKtAN6K7Nmzfjqaeewvbt23H48GG8//77mDRpknT7jBkzOiyFes455+C7776TLptMJtx9991YsWIFjEYjLrroIrz44ovo27ev2+2wWq2oqqpCXFwcFApFt18XEREREXmXIAhobGxERkYGlErXY8UhHyQbDAacccYZuOGGG1BYWOjwPhMmTJBmpQNAdHS0ze133HEH1q1bh3feeQe9evXCXXfdhcsuuwzbt29HVFSUW+2oqqpiSSgiIiKiEHDw4MFOB0NDPki++OKLcfHFF7u8j0ajQXp6usPbGhoa8Morr+DNN9/EX//6VwDAW2+9hczMTHz22WcYP368W+2Ii4sD0Pam+2Omp9lsxoYNGzBu3LiwT5wn72CfIU+w31BXsc9QV/mzz+j1emRmZkpxmyshHyS748svv0Rqaip69uyJUaNG4dFHH0VqaioAYPv27TCbzRg3bpx0/4yMDOTn52PLli1uB8liikV8fLzfguTY2FjEx8fzIERuYZ8hT7DfUFexz1BXBaLPuJMaG/ZB8sUXX4yrr74a2dnZ2L9/P+bPn48xY8Zg+/bt0Gg0qK6uRnR0dIf10dPS0lBdXe10uyaTCSaTSbqs1+sBtH3QZrPZNy9GRnwOfzwXhQf2GfIE+w11FfsMdZU/+0xXniPsg+QpU6ZIf+fn52P48OHIzs7GRx99hKuuusrp4wRBcPkt4/HHH8fChQs7XL9hwwbExsZ2r9FdsHHjRr89F4UH9hnyBPsNdRX7DHWVP/qMfHGozoR9kGyvd+/eyM7Oxh9//AEASE9PR0tLC+rr621Gk2tra3Heeec53c4DDzxgs9KQmOMybtw4v6VbbNy4EWPHjuXPWeQW9hnyBPsNdRX7DHWVP/uM+Mu/OyIuSD527BgOHjyI3r17AwCGDRsGtVqNjRs3oqioCABw+PBh7Nq1C08++aTT7Wg0Gmg0mg7Xq9Vqvx4U/P18FPrYZ8gT7DfUVewz1FX+6DNd2X7IB8knTpzA3r17pcv79+/Hjh07kJSUhKSkJBQXF6OwsBC9e/fGgQMH8OCDDyI5OVlakz4hIQGzZs3CXXfdhV69eiEpKQl33303hgwZIlW7ICIiIqLIEvJB8rZt2zB69GjpspgCMX36dPznP//Bzp078cYbb+D48ePo3bs3Ro8ejZUrV9qU/njmmWegUqlQVFQkLSZSUlLido1kIiIiIgovIR8kFxQUQBAEp7f/73//63QbMTExeP755/H88897s2lEREREFKJcr8dHRERERBSBGCQTEREREdlhkExEREREZIdBMhERERGRHQbJRERERER2GCQTEREREdlhkExEREREZIdBMhERERGRHQbJRERERER2Qn7FvUhlabbC/KcazcctOFLZjFaTFSqNEil5Oqi0/O5DRET+YTFaUVtmgAJAYn8tjuw5AVN5NKp/OoGUAXHQ/2lCUq6W5yYKOQySQ5DFaMXaaXugP5iGFSVlQGv7bXEZ0bjggSyoNEok9teibp9ROnDxQEVERJ6yGK2oKzcivo8GdfuMaDVZAQBfP16JxqqWtjtF4eQ5KRWfvL0PChUgWABdmhoTXxkEfZUJCoADOhQSGCSHoLpyI/QHTx6QWm1va6xqwSe37W27ENV+u3igik1VoWBBP6QP7cEDFBERuSQGxrG91Fg7azcMNWYoogCh1ckD7K4XLG3/G2rMWH7FTqAtroYuVY3C5XmISWQYQsGLvTMEJeVqEZ8Z3RYoywLhDmTXiweqploLPp7zR4cRZ44yExGRXHO9BauvK+sQGDsNkIGO5yT5ZWv71YZaM96b+itGzc9hqiAFLQbJIUilVWLimwPx0ZubMP7q0WistHTysxc6HLjkI84cZSYiIqA9v7jVZMXmRypgqDUDsAuMlbAJeO0HXY7sacS333yHEReci8RMndMR6KZai3QeisuIRkFxDoNlCioMkkOUKkYJdR8zYnqqEJeila6/etVgmwkUYk5yXIYGH8z8DU21lg7bcjTKzIMVEVFkaa634L2pvzo8T4gBrjy32NmE8fSzekBT3YL0M3tArVZjyup8KZf5yG8Gm+Bb1FjVgnWz90CXpkbh20zDoODAXhhmVFolMobFSZflf1+zZog0QuB0xBm2B6uJrwxC0zEzUzGIiMKUOHr8xbz9DgNkR+eCHr2j3d6+SqtEar4OAJB5XgKmrMlHbZkBpcUH2s9DJxlq2tIwLlrcnwM1FHAMkiOIPICWjzg7G2U21JixYuJOafSA3+6JiMKLPO/Ynv2vil0JjF0Rz0Xiecg+taOp1sJRZQoK/IoWocSDVO9hcejROxrXrBmCy5YOxMXPnwJdqlq6n5g/ZqgxY1XRLpw43ILaXQZYjFYnWyYiomBnMVpRtb0Rq6d2DJBjU1W45IUBuHrVYPQeFuez0VzxPJR5XgIKl+dBl6a2uV087zTXdxzdJvIHfj0jALajzIXL8xzOaG6ua+XIMhFRiHM2ehybqgpYmkNMogpTVudLaR/iqHJzXStWX1eGKavzmXpBfsceRx2IB6tJrw/CtWuHICYpSrpNPrL83tRfcXh7I0eViYhCRHO9BauKdnUIkHVpakxe7tuR486IgzWFy/NszjuGGjPKN9TxXEN+xyCZHBInWvToHY2iVfnSz2CK9uOWlDe2spA/hxERBTN5ekVzXftM7dhUFS5fOhBTVucHzS+DMYkqm/OOUgWULqrguYb8jkEydcp+ZNlR3hhHlYmIgpPFaMXqqWVYP3uPTem1mKSogI8eOyOed0YtyIZVtmofzzXkT8G1V1DQko8sT1mdj8uWDrSZ4MdRZSKi4HSkzICGSpPNdbo0NYpWBc/osSMqrRK545JsBmbEc83qqWUMlMnnGCRTl8nzxjgbmYgoOIkpFl8WH5Cui8uIDrr0CldUWiUK3+54rmmoNKG2zBCgVlGkYJBMHhN/DrMfVW6ua+VPYkREAdRcb8HKwl1YP3uPzYIdo4pzgjK9whX5uSYuo71W8+ZFFTzHkE+Fzl5CQcnZbGSmXxARBYbFaHVY4i0hS4PUPF2AWtU94rmmoDhHuk5/iKPJ5FsMkskr7GcjizjRgojIv46UGWwCZLGCReHyvJAaQXYkJU+H+L7to8mlxQd4fiGfCe29hYKKs/QLjioTEfmeoxxkXWrg6x97k0qrxKgFOdLlxqoWTuQjnwn9PYaCCif1ERH5n7zMmzwHefTifiExQa8rUvJ0SMjS2FzHiXzkCwySySc4qY+IyH8clXkL5RxkV1RaJQqX53EiH/kcg2TyGU7qIyLyLVdl3sIhB9kZZxP5uHw1eVN47j0UVDipj4jI+5ylWIRimTdPyVMvxOWrmZ9M3hL+exAFhc4m9fGgRkTUNZGUYuGMmHohX76a+cnkLQySyW9cTerjQY2IyH0WoxWliw5IlyMhxcIZcflqeWk45ieTN0TWnkRBwdnqSV/M288cZSKiTliMVpRvqIP+UGSmWDhiXxqOC42QN0Tm3kQB52jShaGWOcpERK6IeciliyqgPFnZLdJSLJyxX2iEo8nUXQySKaBS8nQ2qResfEFE5Jw8D9lqAUYtyI7IFAtHHI0ms9oFdQf3KgoolVaJwrcdLzyy+jpO5iMiEjXXW7Bp3j7pcnxfDXLHJTFAlmG1C/Im7lkUcM4qXxhqzBwFICLCyTSL68rQVNv+C9vIBdkMkO2w2gV5E/cuCgqOKl+IowBMvSCiSCZO1DPUmKXrdGlq5iE7wWoX5C0MkimoiKPK8lEALjpCRJHK0UQ9XZoahW8zD9kV5ieTN3APo6AjjgI4mtDH3DIiiiSOJupNWZ2PmERVgFsW/JifTN3FIJmCkrMJfcwtI6JIYb9gCCfqdY2z/OS6cmNgG0Yhg3saBS0uOkJEkcrRgiGcqNd14i+T4oiyLk2N+D6aALeKQgX3NgpqXHSEiCINFwzxLpVWiYmvDoIuTQ1DjRlrZ+7muYPcwiCZQoKzRUeYX0ZE4YYLhnif/k+TVB2koZKT+Mg93OMoJDBHmYgiAfOQfSMpV8tJfNRl3OsoZDjLUS4tPsDUCyIKC0fKDMxD9gFO4iNPcM+jkOIoR7mxqoWpF0QU8hyNIjMP2Xs4iY+6ikEyhSR5/UsRUy+IKFSxmoV/cBIfdQX3PgpJ4k9nLA9HRKGO1Sz8y34SHwdXyBkGyRSynJWHW30d0y6IKHTUlRtZzcKPknK1iO/bPriyeVEFzxnkEPdACnn25eEMNWaW9yGikBHfRyMdwxKyWM3C11RaJUYtyJEu6w9xAh85xr2QQp59eTixvM/Kwl1MvSCioGYxWrF25m4YaszQpakx8dVBDJD9QD6vJb5vNFpNVg6sUAfcEyksiOXh5OV9DDVMvSCi4CVO1hNTLQw1Zuj/NAW4VZFBPq8FULBCEjnEIJnChljeh6kXRBTsnE3WS8rVBrZhEUSlVUKlUUJ/qO2LCSfxkT0GyRRWmHpBRKGAS08HB07iI1e4N1LYYeoFEQUzLj0dPDiJj1zhHklhyVnqBX9KI6JA4qIhwYeT+MiZkN8rN2/ejMsvvxwZGRlQKBT44IMPbG4XBAHFxcXIyMiAVqtFQUEBfv31V5v7mEwm3HbbbUhOToZOp8MVV1yBQ4cO+fFVkC+IqRexqSrputLiAzi8vZEHQCLyOy4aEpw4iY+cCfkg2WAw4IwzzsALL7zg8PYnn3wSS5YswQsvvICtW7ciPT0dY8eORWNjo3SfO+64A++//z7eeecdfP311zhx4gQuu+wytLa2+utlkI/EJKpw0eL+0uXGqhYeAIkoIJiHHLwcTeJj2gWpOr9LcLv44otx8cUXO7xNEAQ8++yzeOihh3DVVVcBAF5//XWkpaVh+fLluPnmm9HQ0IBXXnkFb775Jv76178CAN566y1kZmbis88+w/jx4/32Wsg3xJ/SxJMT0D6LOWNYXABbRkSRgnnIwS8pVyudK3RpasT30QS6SRRgYb137t+/H9XV1Rg3bpx0nUajwahRo7BlyxYAwPbt22E2m23uk5GRgfz8fOk+FNrkP6XFZbTPYmbqBRH5S125kXnIQU6lVWLiq4OgS1PDUGPG2pm7eX6IcCE/kuxKdXU1ACAtLc3m+rS0NFRUVEj3iY6ORmJiYof7iI93xGQywWRqH5nU6/UAALPZDLPZ7JX2uyI+hz+eKyyogJTTY3DB/L745JZ9ANpTL+IzozHxzYFQxYT3CYt9hjzBfuMd2jSlFHzFZ0YjcWB02L6nodxn6iqaYKhpa3dDpQmHf2lA+lk9Atyq8OfPPtOV5wjrIFmkUChsLguC0OE6e53d5/HHH8fChQs7XL9hwwbExsZ61lAPbNy40W/PFQ4EswJRSalorWuveqE/2IL1r21CdHboHdA9wT5DnmC/8ZxgVuDYy23HHWW8BZopVdjw+b5AN8vnQrHPCGYFlImpsNa3nSM2PPQ7ev29Fgq1EOCWRQZ/9Jmmpia37xvWQXJ6ejqAttHi3r17S9fX1tZKo8vp6eloaWlBfX29zWhybW0tzjvvPKfbfuCBBzB37lzpsl6vR2ZmJsaNG4f4+Hhvv5QOzGYzNm7ciLFjx0KtVnf+AJJYxltxtKwJXy0+iBNVJ7+9buyLc+dnIvm02LAdUWafIU+w33SPpdmKfRuPo7aurWKSVa/COaeNRMpg/w2m+Fuo95nqrBPSL46t9WqcfcqosP68goE/+4z4y787wjpI7tevH9LT07Fx40aceeaZAICWlhaUlpbiiSeeAAAMGzYMarUaGzduRFFREQDg8OHD2LVrF5588kmn29ZoNNBoOib1q9Vqvx4U/P184UCtBjLP0WB0sQrrZu8BAJyoMuOTW/YhIUsT9rPN2WfIE+w3XWcxWvHh9b+jodIEpaqtokVClgapp8ZBpQ7fY4woVPtM7yEJ0gS++L7RULQqobBEhfV5IVj4o890ZfshHySfOHECe/fulS7v378fO3bsQFJSErKysnDHHXfgsccew4ABAzBgwAA89thjiI2NxdSpUwEACQkJmDVrFu666y706tULSUlJuPvuuzFkyBCp2gWFJ1a9ICJfqis3dij5xooWwU+c7F1bZsDmRRVYN3tPRAygUEchHyRv27YNo0ePli6LKRDTp09HSUkJ7r33XhiNRtx6662or6/HOeecgw0bNiAurj0IeuaZZ6BSqVBUVASj0YiLLroIJSUliIqK8vvrIf+RHwhLiw+gsapt5vkX8/ajcHkeYhJDfvcgogCK76ORJuslZLHkWyhxVjc5NZ8Lv0SSkN9bCwoKIAhCh38lJSUA2ibtFRcX4/Dhw2hubkZpaSny8/NtthETE4Pnn38ex44dQ1NTE9atW4fMzMwAvBryN5VWiYxhcSgozpGuM9Sasfo6LjZCRJ6zGK1YO3M3DDVm6NLUmPjqIAbIIUasmwyAdZMjFPdYIrSlXujS2vOUDDVmlG+oY6BMRF1mMVpRvqFOSrUw1Jih/9PUyaMo2LBuMjFIJsLJ1Iu386RAWakCShdVYGXhLjTXWwLcOiIKFRajFaunlqF0UQWUJzO2ErI0SMrVBrZh5BH9nyabuslcqjqyMEgmOikmUYUpq/MxakE2rCfjYkMNUy+IyH1HygwdJutxwlfokqdcxPeNRqvJyvNBBOFeSySj0iqROy6JqRdE1GUWoxWliw5Il+P7crJeqBMneF+2dCAABdbN3oPVUzlwEim45xLZYeoFEXmirtwI/aEW6fLIBdkMkMOAs0oXFP649xI5wNQLIuoqseQbcHLRkDyWCwsXrHQRmRgkEznhLPWitswQwFYRUTBiybfwxkoXkYl7MJELYupFbGr7wiKlxQdweHsjD5BEBIAl3yIFK11EHgbJRJ2ISVThosX9pcuNVS2cvEFEAFjyLZKw0kXkYZBM5IaUPJ10cBQ1VJqYekEU4erKjSz5FiFY6SLycC8mcoP84BiXES1dz9QLoshmP1mPJd/CGytdRBbuyURuUmmVyBgWh4LiHOk6pl4QRS5O1otMrHQRObg3E3URUy+ICLBNteBkvcjBSheRg0EyURcx9YKILEYrLCYr4vu2fWHmZL3IwkoXkYFBMpEHXKVecGU+ovAmVrRYP3sPAAGXLx3IyXoRhikXkYF7NFE3OEq94Mp8ROHtSJlBSrPQH2pBlEbJADnCMOUiMnCvJuoGeeqFLpUr8xGFO4vRitJFB6TL8X2ZZhGpmHIR/hgkE3WTmHpRuJwr8xGFu7pyI/SHWqTLIxdkcxQ5QnFxkfDHPZvIS5ytzMccZaLwYV8XOTVPF+AWUaBwcZHwxyCZyIuc5Si/N/VXjioThTjWRSZ7XFwkvHHvJvIiZznKTbUWjjIQhTCL0YryDXWsi0wdsNJF+GKQTORl8hxl8WdZERcdIQo9Ysm30kUVUJ6cdsC6yCRipYvwxSCZyEdiElWYsjq/w6IjX8zbzxxlohAiX1nPagFGLchmXWSywUoX4Yl7OJEPOVp0xFDLHGWiUGI/WS93XBIDZLLBShfhiXs5kR+k5OlsUi/EHGVWviAKbpysR+5gpYvwxD2dyA9UWiUK3+6Yo8zKF0TBTZ5qwcl65AorXYQfBslEfiLPUXZU+YKjykTBxWK0wmKyIr5v28/onKxHnWGli/DCIJnIj1xVvjDUmLGqiIEyUTAQK1qsn70HgIDLlw7kZD3qFCtdhBfu7UQB4GxUubmulekXREHgSJlBSrPQH2pBlEbJAJncwkoX4YN7PFGAyEeVY5KipOvl6RcnDregdpeBATORH1mMVpQuOiBdju/LNAtyH1MuwgeDZKIAi0lUoWhVvsP0ixUTd+KD6buZr0zkR3XlRugPtUiXRy7I5igyuY0pF+GDez1REHCWfiG0tv0vVsE4uKWBqRhEPuRosl5qni7AraJQw5SL8KAKdAOIqI08/WL1dWUw1JihiGoPlJtqLfjktr0AAF1qW73WpmNmJOVqOcpF5AXiZL2GShPi+0bj8qUDkZKn4/5FXSamXIh9SVxchH0ptDBIJgoy4qhyXbkRsb3UWDtrtzQiITLUtqViCK1tOW8TX2HATNRd8prInKxH3SEuLlJbZsDmRRVYN3sPErI0rJASYhgkEwUhlVaJ1Py2n3inrM5HbZkBpcUH0FjVnicpT8UQA+bYVBUKFvRD8qBY1O0zQgEgsb8WdfuMaDG2oKUiGs3HLThS2Szdpv/TxOCaCO3LTxtqzKyJTN3mbHER8dhOwY9BMlGQE9Mwrl41GId/asTmRypgqLVNxZCnZHw85w8gCsDJ62z+RipWvFUmXVaoAMHSPhqtrzKh1WSFSqOUgmsFwJ+cKexx+WnyBXnaBStdhB4GyUQhQqVVIvO8BExZ0zEVQx4wA5AFxXZ/210WThbMMNSYsfyKnYB8PqAsuI7LiMYFD2S1tUOjZNBMYUdeF1lcfjomkadI6h6x0oU4z2TtzN1MuQghPAIQhRj7VAwxYP5g5m9oqj0Z9TodSXZxm33BDNljGqtapEmDQHvQLI44M2WDQhnrIpMvOap0wZSL0MAgmSiEyQPma9YMQW2ZwSYP2T4neeuPP2DCtQVorLRAASAuQ+N8NNo+uJaRB81iyoaYD50+tAeDZQoprItMviRPuWCue2hhkEwUJsTcZZH932azGT8fa0FMTxXiUtoP0uJodHwfDer2GTvkJLearPj68UqbSYNyYsqGmA8tH2VmWgYFO3ldZP0hE+sik9eJlS6k42y5kb+8hQgGyUQRTj4aLQ+s5ZevXjUYtWUGtJracjJsgma7EWf5KDMDZgpmrItM/qLSKpGUq5X6G8vBhQYGyUTUKftRajFoFlM2bPKhZewD5oLiHAYhFDRYF5n8Sd7fmJscGhgkE1GX2QfNYj60q9SMxqoWrJu9h7nLFDRYF5n8ieXgQg/PUETUbWLQnHleAq5eNRiXLR2Ii58/BXEZ0R3uK+Yuv1v0Kw5vb4TFaF9Wg8j3WBeZ/E0sByd+MVs7czePf0GOI8lE5FXyUWZ5LrO4CIpIHFnmstrkbxajFeUb6lgXmfyO5eBCC48IROQz8oC5cHke3pv6a4fcZfmy2ro0NQrfzmOwQj4jn6ynVAFWC5hqQX7DlIvQwiEbIvKLmEQVrlkzRErF0KWqpdvE+syGGjNWFe3CicMtqN1l4E+R5HXyyVNWCzBqQTarDJDfMOUitPCoQER+I89dLlyeB11aW6CsiGq/T3NdK1ZM3IkPpu/GysJdaK7vWDWDyFPiZD2gbQQ5d1wSA2TyK0cpFxSceGQgooCISVRhyup8THp9EK5dOwQxSe2Rsnxk+b2pnOBH3sHJehQMxJQLAIjvG41Wk5XHtyDFowMRBYy4kEmP3tEoWpXvcGS5qdaCdbP3cFSZuk2eaiFO1iPyN3EFvsuWDgSgwLrZe7B6ahkD5SDEIJmIgoL9yLIYMIs4qkzdZZ9qwcl6FCgqrRIqjRL6Q7aLi1BwYZBMREFDPrI8ZXU+Lls60GaCH0eVyVNMtaBgI0+7YKWL4MQjBBEFJXGSn3yCn0isgsFAmdzhrC4yUSCx0kXwY5BMREFNTMOwH1Vurmtl+gV1SqyLXLqoAsqT5beZakHBgpUughuDZCIKevJRZXkVDKZfUGdYF5mCGStdBDceJYgoZMQkqmyqYIg4qY+cYV1kCmasdBHceKQgopDiLP2Co8pkj5P1KBSw0kXw4tGCiEIOJ/WRO1gXmUIFK10EJwbJRBSyOKmPnLEYrbCYrIjv2xZscLIeBTNWughOEREkFxcXQ6FQ2PxLT0+XbhcEAcXFxcjIyIBWq0VBQQF+/fXXALaYiNzFSX1kT6xosX72HgACLl86kJP1KOix0kXwiZgjxuDBg3H48GHp386dO6XbnnzySSxZsgQvvPACtm7divT0dIwdOxaNjY0BbDERdQUn9ZFInmahP9SCKI2SATIFPXnKBX/5CA6qQDfAX1Qqlc3osUgQBDz77LN46KGHcNVVVwEAXn/9daSlpWH58uW4+eab/d1UIvKQmH5RW2bAF/P2w1DbNiojjirr0tQofDsPMYkRc+iLSGJFC0ONmcEGhQyx0kVduRHxfTSoKzciKVfLL3gBFDHv/B9//IGMjAz069cP11xzDfbt2wcA2L9/P6qrqzFu3DjpvhqNBqNGjcKWLVsC1Vwi8hAn9UU2VrSgUKbSKpGUq8XambvxwfTdLAcXYBExnHLOOefgjTfewMCBA1FTU4PFixfjvPPOw6+//orq6moAQFpams1j0tLSUFFR4XSbJpMJJlP7TGm9Xg8AMJvNMJvNPngVtsTn8MdzUXiItD4T1QO4auWpOFrWhNLiSjTVtgXG4qS+UQuzkHxaLFQxDKBcCbV+U73zhE1Fi7oKA1J6xAa4VZEl1PpMsDnye5PUhxsqTaj9vREpg8O7D/uzz3TlORSCIAg+bEtQMhgMyM3Nxb333otzzz0X559/PqqqqtC7d2/pPjfddBMOHjyITz/91OE2iouLsXDhwg7XL1++HLGx4d2ZiUKNtUmJo/9JhWCwHRdQxlvQa3YtlLEcqQkHglmBoy+lwlrf9gtCVKIZvf5eC4U64k5zFMIEswLHXk5Fa52axygfaGpqwtSpU9HQ0ID4+HiX943IIBkAxo4di1NOOQX33HMPcnNz8eOPP+LMM8+Ubp84cSJ69uyJ119/3eHjHY0kZ2Zm4ujRo52+6d5gNpuxceNGjB07Fmq1uvMHUMSL9D7TfNyCD6f/Ic0eF+nS1Lhq5akcUXYilPrNkV+bsH7WXunyxS/2R/pZPQLYosgUSn0mWMmPV/GZ0Zj45sCwPkb5s8/o9XokJye7FSRHRLqFPZPJhN9++w0XXngh+vXrh/T0dGzcuFEKkltaWlBaWoonnnjC6TY0Gg00mo7FvtVqtV8PCv5+Pgp9kdpn1Clqh5P6DDVmVH7eyOWKOxHs/cZitAKtSsT31UB/yISELA16n54AlZqfaaAEe58JZvU1LdIXev3BFjRWWJCarwtwq3zPH32mK9uPiKPH3XffjdLSUuzfvx/ff/89Jk+eDL1ej+nTp0OhUOCOO+7AY489hvfffx+7du3CjBkzEBsbi6lTpwa66UTkRY4m9SlVQOmiCtZTDmGsi0zhhivwBYeIOIIcOnQI1157LU499VRcddVViI6OxnfffYfs7GwAwL333os77rgDt956K4YPH44///wTGzZsQFxcXIBbTkS+IJaKG7UgG9aTcTHrKYcu1kWmcMMV+IJDRKRbvPPOOy5vVygUKC4uRnFxsX8aREQBp9IqkTsuCdterpJ+1mQ95dDEusgUjhytwBcJKRfBhF+1iShiqbRKFL7tuJ7y6utYnzQUsC4yhSt5ykV832i0mqw8JvkZjyREFNHE1IvLlg6ELrU9WDbUmFFbZghgy6gzFqMV5RvqbOoi6/80dfIootAgrsB32dKBABRYN3sPFxfxMwbJRBTx5BP6YlPbUyxKiw8wRzlIiZP1ShdVQHnyI2OqBYUblVYJlUYJ/aH2xUXqyo0BblXkYJBMRHRSTKIKFy3uL11urGrButl7WPkiCMkn61ktwKgF2axoQWGJlS4Ch0cTIiKZlDyddEISMUc5+IiT9YC2EWTWuaZwxUoXgcMjChGRjDwP0D5HuXxDHU9OQYCT9SjSOKp0Qb7HowoRkR0uOhLc5KkWnKxHkYCVLgKDQTIRkRPOFh1ZVcRAOVAsRissJivi+7YFDJysR5GAlS4Cg0EyEZEL4qIj8lrKzXWtzFEOAC4/TZGMlS78j0cWIqJOiIuOxCRFSdcxR9n/jpQZuPw0RTRWuvAvHl2IiNwQk6hC0ap85igHiMVoRemiA9Ll+L5Ms6DIw0oX/sUgmYjITc5ylN+b+isXHfGxunIj9IdapMsjF2RzFJkiEitd+A+PMEREXeAoR7mp1sKJND5mXxc5NU8X4BYRBQZTLvyHQTIRUReJOcryQBloG9WpLTMEqFXhi3WRidox5cJ/eJQhIvKAmHpx2dKBiMuIlq7/Yt5+5ih7kcVoRfmGOtZFJpJhyoV/MEgmIvKQuOhIQXGOdJ2hlktYe4tY8q10UQWUqrbrWBeZiIuL+AuDZCKibkrJ09mkXrA8nHfIV9azWoBRC7JZF5kIXFzEX3ikISLqJvscZZaH8w77yXq545IYIBOd5GhxEc6J8C4ebYiIvMBZeTimXniGk/WIOpeUq0V83/Y5EZsXVfB440U84hAReYmj8nBMvfCMPNWCk/WIHFNplRi1IEe6rD/ESXzexCCZiMiLmHrRfRajFRaTFfF92yYmcbIekXMpeTpO4vMRBslERF7G1AvPiRUt1s/eA0DA5UsHcrIekQucxOc7POoQEfkAUy88c6TMIKVZ6A+1IEqjZIBM1AlHk/iYdtF9PPIQEfkIUy+6xmK0onTRAelyfF+mWRC5i8tVe5/KkweVl5fj888/x5YtW3Do0CEcPXoUsbGxSElJwZAhQzBq1CiMHDkS0dHRnW+MiCiMiakX5RvqULqoAkB76sWU1fkcJZWpKzdCf6hFujxyQTbfHyI3ictVr76uTFqumqlK3eN2kCwIAlasWIGXXnoJ33zzjXSdvQ8//BCPPfYYEhMTMWPGDPzjH/9Av379vNdiIqIQI6ZebHu5SlpK1lBjRm2ZARnD4gLcuuAh1kU21JiRkKVBap4u0E0iCimOlqtOzed+5Cm3vl58+umnOP300/G3v/0Nv//+O2688Ua88sor+Pnnn1FdXY2WlhY0NDRg//79+PTTT1FcXIzTTjsNzzzzDE477TTMnTsX9fX1vn4tRERBS0y9iE1tH5soLT6Aw9sbmaMM1kUm8gamXHiXW0egSy65BMnJyVi3bh2qqqrw8ssvY8aMGRgyZAhSU1OhUqkQFxeH7OxsjBs3DvPnz8dXX32F/fv3495778Vrr72G559/3tevhYgoqMUkqnDR4v7S5caqFs5ER1uAXL6hjnWRibpJTLkQf5FZO3N3RB9busutdIvPP/8cBQUFXd54VlYWFi1ahLvuugsHDhzo8uOJIpHFaEVtmQEKAIn9tajbZ7T5u9VkhUqj7PJtLcYWtFREo/m4BUcqmz3avgJtNTk5wuc5saapGBAC7cvJRmLqhVjyraHSBKUKsFpYF5moO+xTLso31HFJdw+5FSR7EiDLJSQk4IwzzujWNojCgcVoRV25EfF9NA6DUwD4+vFKNFadnLwUBaAVHf/2+LZUrHirzPFtbm5Dl9r2U7i+ytRpcM2AuiOxpmltmQGlxQekz7q0+AAKinMi7j2Tr6xntQCjFmTzhE7UDWLKhfjFs3RRBXaUVHMSnwfcnrh3xx134MYbb0R+fr4v20MUNuxHhI/8ZsDmRypgqDVDEQUIzoJTuVYnf/viNjfvZ6g1Y/kVOwHxFzwXwXVcRjQueCDLJngWg+lICwblVFolMobFoaA4B+tm7wHQnnqRkKWJqJOZ/WQ9BshE3SN+EZdX1OEkPs+4HST/61//wvPPP4/hw4dj1qxZuOaaaxAfH+/LthGFFDEo7nREGLIAGXAeINs/zisjyS5u68o25CluLoLrxqoWfHLbXofbYADN1AtO1iPyDbGizo6SajRUmjiJz0NuB8nPPfccXn31VWzduhXbtm3D3LlzMXnyZMyaNQsXXnihL9tIFHTs0yZaTVbboNiefSCphNORWEfBo7dykrf++AMmXFuAxkpLl3OS3R4JdzYybnddVwPocEzfcJZ68cW8/ShcnoeYRI9K2YcEZ5P1wvk1E/kT6yZ3n9tHo9tuuw233XYbfv75ZyxbtgwrVqzAG2+8gTfffBO5ubmYOXMmpk+fjt69e/uyvUQBIwbGsb3UWDurbfTLJlh0pQs5vfaBoHxE0X50sSu3mc1m/HysBTE9VYhL0XZ5G5nnJWDKmnyXOdX2o8KuRtNtuBlAi8EzAOm59H+akJSrDdkDv6PUC0NteC82wsl6RP7Busnd0+Wv7GeccQaef/55LFmyBO+//z5effVVfPbZZ3jwwQexYMECTJgwAbNmzcJll12GqKgoX7SZyK8sRisO/9TocBTVVYDc2Whoj97tK1KGyk/rKq1SOsC6E1xfvWpwh0od7qSj2HCWvgFAoQIES1s90ImvtH/xCMUR55Q8nZSbC7SNrIbrrPQjZQZO1iPyA/kkvvi+0Wg1WWExWrmvucnj37XUajWKiopQVFSEP//8E6+99hpKSkqwfv16fPTRR0hJScH111+PJ5980pvtJfILeX6xfRqFTWAsS5uwH+V0NSIcKcRRUpH8b28E0IKl7X9Dje1kQkej9cE+4iwuNiL+NCrOSt/2chUK3w6f1AuL0YrSRQeky/F9OVmPyFfkKV2bF1VE5OTg7vDKUbdPnz6YN28e5s2bh82bN+Ohhx7CN998g3/+858MkilkuAqM5cSR5HAYvQwkTwLoDp+LPICWTSa0r8AhjjjHpqpQsKAfkgfFBmXQHJOowpTV+Taz0g014ZV6UVduhP5Q+2c4ckF2WLwuomCl0iqh0iihP9T2600kTQ7uLq8NTZw4cQIrV67Ea6+9hm+//RYAoNMx74WCmzzP+IOZv6Gp1uLy/uIIZdMxsxRgydMmyDucBdBi8CzmP8dlaJznh8uCZnHEuanWgo/n/BHUaRrirPRtL1eFZeqFfcm31DyeJ4h8LSlXi/i+0dIX1M2LKjD5HY4md6bbQXJpaSlee+01rF69Gk1NTRAEAeeeey5mzZqFKVOmeKONRD7RXG+Rftp2NQFPnlvsKJ+Y/Mc+eAaAKavbJxO6W4HDWZpGZykz/hKuqRcs+UYUGCqtEqMWtE8O1h/iSnzu8OhIe+jQIZSUlKCkpAT79++HIAhISUnBzTffjFmzZuG0007zdjuJvEKeUiEGU0DHANlRYEzBST6Z0FkFjrgMje0vBU7SNOwnBgayFF24pV6w5BtRYMnrsnMlPve4fXRqaWmRqll8/vnnaG1tRVRUlFTN4oorroBKxYMdBScxOJbXopUTRx3FnNX0oT140AhRzipwXLNmiJTn7DJNQ8ZZKTr7iYG+CpqdpV6EWj4hS74RBR5X4us6t6Pa3r174/jx4xAEAbm5ubjhhhswY8YMZGRk+LJ9RN1iX77NETEvVZ5nTOHHPlVDnqbR1QVh7CcG+jJNQ0y9eG/qr9JIeGnxARQU54TMrxws+UYUHLgSX9e4HSQbjUZMnToVs2bNQkFBgQ+bRNR9nY0cA22BjTzQYJ5xZHE04iyfGAh0UoquC2ka3a2kEZOowkWL+0v5hI1VLSFTyokl34iCC1fic5/bQfLhw4eRkJDgy7YQeYV8Qp692FQVRs3PYa4xOWQ/2mxfis7pxEA78qDZUSUNZ6sruiLPJxQFeyknMQ+ZJd+Igov9SnzBfBwJJLeDZEcBcnV1NdasWYPdu3ejqakJy5YtAwAcOXIE+/fvx5AhQ6DVMueMfM/ZhDw5XaoahctDtzIA+Z990OxoYmBnaRrOKmkAXRtxli8KIP+FJFhLOTnLQ2bJN6LAY0k493gcLbz44ou46667YDK1jWooFAopSK6trcWIESPw0ksv4aabbvJOS4mcaK632ORrynHkmLytW2kaVtttORpxli94IlbTkAfQGcPiUFAc/KWcvJ2HLP8ibF9txNHfru7nyUg+UThhSTj3eBQkr1u3DnPmzMHw4cOxYMECfPLJJ3jppZek2wcPHozTTz8dH3zwAYNk8hnxpPnFvP0OA2Rdmjqka8pS6HCVpuFuJQ37BU/kwbV9AN0zJwa6VLWU9lG6qALbXqoKil9K5PMBRJ3lIYuL+shH5+UBbqerLTr7u5PbAlnijyjQWBKucx4dTZ966ilkZWXhiy++gE6nw/bt2zvcZ8iQIfjqq6+63UAiR1zlHdtPyCPyN3cqaQCdTAx0sPiJowBaDLoNtWa8O+VXnHFDGhIyYhDdI8ovgZ88wJXnbMvJ85DtR4Rdfomwf0/knLxXHe7v4jZ3S/x5Y/IlUbBxVhKO+cntPAqSd+zYgWnTprlcdrpPnz6oqanxuGFE9jrLO2aNYwpWzmo32484O13wxEUALWc8ZsF3T//ZfoXscfZl6txNUeiRpUJLhRrVP51AyoA4m/u5M0quS1MjPkODqu2NnY4Id3i8swDZ1fvThZFkZ89lX+LPfvIly0VSuBBLwv306mHmJzvgUZBstVqhVqtd3ufIkSPQaFh7j7yjs7zjixb358gxhRz7EWf5gifyQNVlAK0AIDh5AlngZ1+mrmuBZRo+eX2fy/vZB7jaZBWsrQIMNWasmLjTaZqJzfaUsM3b7mKQ35WcZMD9En/yyZfia+GXcgoXzE92zqMg+dRTT8XXX3/t9HaLxYLS0lIMGTLE44YRAcw7pshiHzR7FEDL2Qedcp6kKLi6n+y5ND2jAAgw1bfdwWmADNcl8jpLF3H2Xtn/VOzsNrdL/Dn4MiCmvnAJewoHzE92zKPI4rrrrsPdd9+NxYsXY968eTa3tba24u6778a+fftw3333eaWRFJmYd0zUrrMAuq7cCOMxM/43t1y6XtsrCgUL+gGA+xPfXN1mdz/7ALd+vxGbHzkAg33ALgugHY0Iy/N97Rf18WVupDsl/jqbfCkfoWfATKGK+cmOeRQk33bbbVi3bh0efvhhvPnmm1JaRVFREbZt24YDBw5g3LhxmDVrllcbS5FBPnrMvGOizok5zxajFbo0tfTF0nikFU1HzMgdl2RTpq6rOcmfrvgC5547okNOsn2A21hl6hAgy0eInY0IB9MvQc7yx8XJl7G91E5H7uUBszj5j/nLFCqYn9yRR0cmtVqN//3vf1i4cCFeeukl1NfXAwDee+89xMfH47777sPChQuhUCi82lgKf85Gj5l3TNQ5lVaJwrfzpH1I/Nl028tVKHw7z+00BPlls9mM6Gwz0s/sAbVa1eF+YoDbXG/Bpnn7pOvDbdl3efAspr64WkjGUNuev8wJfxQqHOUnR/Jossdf36Ojo/Hoo49i8eLF+P3331FXV4f4+HicdtppiIqK8mYbKQK4Gj1m3jGR+2ISVZiyOt/mZ1NDjRmrryvDlNX5PisDt/q6MpvR1VHFOegdpidWeZqGfITePmCWyvPV2AbMPJ5RMEvJ09msxldafCBi0xu7/WoVCgUGDRqE8847D/n5+QyQqcua6y1YWbgL62fvsQmQY1NVuHzpQExZnc8TClEXiD+b6tLaqxAZaswo31AHi9HZTD7PWIxWlG+os/n1R5emjpjlp8WAOfO8BFy9ajAufv4U6FLb3neF7HQoD5hXFe3CicMtqN1l8PrnQdRd4miyqLGqBetm78HqqWUR118j6ysBBZ3megtWFe3qkF6hS1Nj8vLB6D0sLuK+uRJ5g5h6IQbKYurFysJdaK53UAnDAxajFaunlqF0UQWUJ7/HiiOlkbjfqrRKafLfpNcH4dq1Q6T3Xx4wN9e1YsXEnfhg+m6vfh5E3iJWu5ATJ/JFEreOYqeffjrWrFnj0RNUVVVhzpw5eOKJJzx6PIUni9GKqu2NWD21DM117VPFOXpM5D1i6sWoBdmwymr9riryTmB2pMyAhkoTAMBqAUYtyOa+i/b85R69ozFldXvAHJPUHinLR5bfm/orDm9vjLhROgpeYrWLy5YORFxG+3yC0uIDEdVX3QqSs7KyMHnyZOTm5qK4uBi7du1yef/jx4/jvffew6RJk9C/f3+8++67OOuss7zSYAp9ztIrYpKiOHpM5GWOUi+a61q7FZiJX3K/LD4gXRffV8PFBxyQB8xFq/Idjiw31VqwbvYerCxkGgYFDzGVqKA4R7pOTL2IlF9A3Pq6v379enz++eeYP38+Fi1ahEceeQQ9evTAGWecgbS0NCQmJsJoNKKurg5//PEHysvb6nQmJCTgrrvuwv3334+4uOCfwPHiiy/iqaeewuHDhzF48GA8++yzuPDCCwPdrLDByXlEgSGmXqwq2iX9ciMGZl3d98QUC3EEWTRyQTYD5E6II/tiKTmx9rKIE/woGMkXGhGJv0gVrQrvX47cfmVjxozBmDFjsHPnTpSUlODzzz/Hli1bYLXaftvt1asXJk6ciEmTJqGoqAgxMTFeb7QvrFy5EnfccQdefPFFnH/++Xj55Zdx8cUXo6ysDFlZWYFuXshjaTeiwIpJVKFoVX6H/VD8ud/d/VCeYiFKyNJEzES97pKXkpuyOr/DwIH9BL9wD0Io+ImpF/Z9VfxFatT8nLBdQEchCILg6YMNBgOqqqpw7NgxaLVapKSkICMjw5vt85tzzjkHZ511Fv7zn/9I15122mmYNGkSHn/88U4fr9frkZCQgIaGBsTHx/uyqQDaapd+/PHHuOSSS6BWqzt/QACJk/PkuccAR0r8LZT6DPmOO4v1JA+KlRYJEVSt+GjtJzj7lFGIT9PaLKTBlS+9Qz6IYL+iXygOJPBYE76cnc8B2xUnHS1QJF94yJ4/+0xX4rVuRSc6nQ4DBgzAgAEDurOZgGtpacH27dtx//3321w/btw4bNmyJUCtCn3yk7H95LxQO+gThQsxz7BweV6HUeWmWgs+nvOHzXLT4/7VD0f/nYb1+r0dArhwroXsT/ZpGGuuL+t2WgyRLzj7RQqwXXGysyXs9VUm2xU+K5ogmINvATrubQCOHj2K1tZWpKWl2VyflpaG6upqh48xmUwwmdp/ctTr9QDavg2ZzWaHj/Em8Tn88VyeaD5uwYfT/+iwE8UkRWHiGwMR01MFAa0wmzt+GyXfCPY+Q/4V1QO4auWpOFrWhNLiSpuFQARZJYz3r90DWNtOFfIAWZemRuLAaPYnb1EBiae2VRG4cvmpHY6fYlrMqIVZSD4tFqqY4B1g4LEmvMmPHV8tPogTVQ4+Z7tTu/yYsvyKnYAsU1cMoKOSUmEcYwJ8/L27K/2SQbKM/TLagiA4XVr78ccfx8KFCztcv2HDBsTGxvqkfY5s3LjRb8/lDsGsgLlKhYY1vWBttO1eyngL4mZW4fMtFQFqHQHB12co8HTXK2F8ORWCuM8qBEA4eeyTTzs5eb0y3oLYaVXY8Pl+v7c1UuhmKhBtdyxtqrXgk1v2QRFnQcIV9YjOaoFC7XHGpM/xWBP+YqcroK5SQbAooP8oEdbjJ1Ml5McQ+8t2hVvEALq1To0N72yGuo9vv1w1NTW5fd9u5SSHi5aWFsTGxuLdd9/FlVdeKV3/f//3f9ixYwdKS0s7PMbRSHJmZiaOHj3qt5zkjRs3YuzYsUGT8+Vs9Dg2VRUSox/hLhj7DAUPS7MVR8uaAAXQo3c0Pr65vC1H9uQoT2xqFC5dOgDGYxYk5sZwX/YTZ8dVAOiRocaF8zOD7tjKY01kkh9DevaLwfF9zWg1WxEVrbQ5pjhLxYhKMuPqlfnQxmmcPoc36PV6JCcn+z4nOVxER0dj2LBh2Lhxo02QvHHjRkycONHhYzQaDTSajh+kWq3260HB38/nTHO9Be9P/Z2T80JAsPQZCi5qNZB5TvsxTcyR1aYp8b93v8Cl0y6CNk6DxMwANjICqVPUDqtgAMCJKjM+uWVf0B5neayJLPbHkLgUrc3t4jElvo+mw6S+ugoDfthbCm2cxud9pivbD649KoDmzp2LadOmYfjw4RgxYgSWLl2KyspK/P3vfw9004IaJ+cRhSexVJnZbIa6jzmoRiojjXyy5XtTf7XJHwe6XsaPKBDk5Q8z7Cb8pvSIhaIi+BIbGCSfNGXKFBw7dgyLFi3C4cOHkZ+fj48//hjZ2dmBblrQclb7WFw5L9hGNYiIQllMogrXrBmC2jIDWk1WbH6kQhpZZhUMIu/j102ZW2+9FQcOHIDJZML27dsxcuTIQDcpKIlL0q6e2jFA1qWpWfyeiMhHxFHlzPMSULg8z2a5caB9VNnTJceJqF23I5mDBw+iqqrKZhKbHAPN8MKV84iIgoNYX9k+X5mjykTe4fGes27dOtxzzz34448/XN6vtZV1cMOBq1W6eCAmIgoMV4vDcGlrou7xaMjvyy+/xJVXXokTJ05gzpw5EAQBI0eOxOzZs5GXlwdBEHDppZdiwYIF3m4vBUBzvQUrC3dh/ew9NgFybKoKly8diCmreQAmIgokcVT5sqUDoUttT8Formtl+gWRhzwKkv/f//t/6NGjB7Zv347nnnsOADB69Gj85z//wS+//IJHH30UmzZtclo+jUKHuE67o9zjycsHo/ewOKZXEBEFAfmockxSlHS9mH6xsnAXmustLrZARHIeRTdbt27FpEmTbJZxtlrbvqEqFAo88MADOPPMMzmSHMLkk/PsS7tx9JiIKHjFJKpQtCqfk/qIusmjKKepqQl9+vSRLms0Guj1epv7nHvuuXjttde61zoKCJZ2IyIKbZzUR9R9Ho0kp6en48iRI9LlPn364Ndff7W5z7FjxzhpL8SwtBsRUfiQp184GlVeVcT0CyJXPAqSzzjjDOzatUu6PHr0aHzxxRd45513YDAY8L///Q8rV67E6aef7rWGkm9xch4RUXjipD4iz3gUJF9xxRXYsWMHKioqAAAPPvggevTogeuuuw7x8fG45JJL0NraisWLF3u1seQbnJxHRBTeOpvUt3pqGQNlIjseRT4zZ85EU1OTtGRzv379sHXrVvz973/HuHHjcNNNN+H777/nQiIhwGK0YvV1nJxHRBQJnE3qa6g0obbMEKBWEQWnTiOgnTt3Ij8/HwqFwuX9cnNz8e9//9trDSPfsxitKN9QZzOCzMl5REThTT6pr7T4ABqrWgAApcUHUFCcw5VTI5y4eFiryQqVRonE/lrU7TNCAdj8HQn9pNNIaM2aNXj44YexYsUKaDQaf7SJ/EBewUKpAqwWrpxHRBQpxPSLguIcrJu9BwDQWNXCyhcRxmK0oq7ciPg+GtTtM6LVZMXXj1dKX5wAAFEAWjv+rUtVY+Krg9B0zIykXG1YBsyd7gFjxozBv/71L1x00UVYt24dEhMTsXnzZrefgCkXwcXR8tJWCzBqQTZyxyWFZScnIiLHUvJ0SMjSoKHSJF3H5azDn8VoxeGfGrH5kQoYas1QRAGCs4JkrY7/NtSasWLiTgit4TvI1umrufDCC7F9+3ZcffXVOP/881FWVoaCgoJO0y9ELAMXPJzVP9alqRkgExFFIJVWicLleR0GT8TKFxct7h8RP6tHAnkahf1osdMAGXA6kix/nLhQTbj1F7dC/pycHHzzzTe48847AQALFixwO0im4CBWsJBP0APav/2FS4cmIqKukVe+kJ8nuPBIeBCDY3n+eQdKACeLm8RlROOCB7IAwGFO8pHfDA5HoMOxv7j9CqKjo6WJecXFxb5qD3mZPL3CvoJFuH3jIyIiz4mVL+x/cQzXUcJwJuYax/ZSY+2s3R1+QZYTc4v1VSanE/IyhsVJf2eel4Apa/Kdbl/sL6Pm50ClUYZ0nwn9MJ+c4vLSRETUFVzOOrS5m2ssjhbLg9gevaPdfh6VVonUfB0AOO0vn9y2F0BbEF64PDT7TOi1mDrlaHKeiAc4IiJyRZ5+wVHl4OdurnFsqsono7uu+gvQNsEvVPuMR5FS//79O72PUqlEfHw8Tj31VFx55ZUoKiry5KnITZ39tML0CiIi6orORpVjU1UoWNAP6UN78LziZ64CYzlxJNkfA2TO6m8DoftLhEettFqtsFgsqKqqatuISoXk5GQcPXoUFosFAJCRkYHa2lrs2LEDq1atwrJly7B+/XpER7s/nE+dszRbUb21weVPK6HWKYmIKDi4GiVsqrXg4zl/dPjpnr9Re58YFCsAxGVo8MHM39BUa3H5mEDUMRb7y9WrBtukfYjk+coAgr7PeNSsHTt2YOzYscjLy8MjjzyCs88+GwqFAoIg4Pvvv8f8+fPR0NCAXbt24ejRo7jzzjvx8ccf45///CceeOABb7+GiNR83IKmbVqsWbobhur2HUUeIGuTVRg6PR09c2IAAFXbG12uoOPpbd7YRqhvPxTa2GJsQUtFNJqPW3Cksjnk2h8KbQz17ZtPtOLEkRb0GRaPyu+OQyEokH52LAzfa1F24giyz0tC1XY9dCnRiO4RFZbvQahv35dtHDkvG8crjPi5pAZNR9vPO41VLVL+aY90NQZN7oXGX2OlPiP2pcwRCaj87jgsTa1Qa1XSZflt7t7P09uCZRvubP/A5nocP2CEUqVE5TcNaKo5+Z7LKlHYi01TIfOCeAgWoGd2TNtA2s5G1Pxywu/tr68wYuDEJJgarNj3WZ1N1RSxv4ht7j+uJ1qTohy/qABSCIIgdPVBN998M7799lvs2LEDSmXHbyatra0488wzcd555+Gll15Cc3Mz8vLyEBcXh59//tkrDQ82er0eCQkJaGhoQHx8vE+fq7negjcn/AzB9ZdIQAFA/HTtahu6qnvo0W3cfmi0MdS3HwptDMXtuzjpuhRO70E4bd/XbZSfW4i8RsDVH5yGxEydT5+lK/GaR2Pva9euxSWXXOIwQAaAqKgoXHLJJVi7di0AICYmBmPGjMHevXsd3p+6pmLz8c4DZMD2IGY/u7XVy7dx+6HRxlDffii0MRS370mA7OlzB+t7EE7b93UbGSCTTyjw+wd1gW6EDY+CZL1eD71e7/I+DQ0NaGhokC4nJyd78lTkQPbInlA4S5SJcuNvX9zG7YdGG0N9+6HQxlDZvjfSE+VrSoXiexCu2/d3Gzlnj7xCwKmTkgLdCBse5STn5eVh5cqVuO+++5Cdnd3h9gMHDmDlypXIy8uTrqusrERKSornLSVJTKIK16zPw0cvfoXxM8+HsdYa8nl0ob79UGhji7EFW3/8AROuLUBjpSXk2h8KbQyF7ZtPtEL/pwk7Xj8M41H7oUNA0zMKl/57IKp+0ks5yRtf/RaDB+ejz7CeWP+P39FyvG3oWZeqwunT0pCYE4vkQbEh8x6E8/YD3ca4DA32bjqCXTvKMOTMwRGZk9z7rDjs/vAIWk60IloXhZzRidhwzx+wnOjSqR4AoIwFBl7cC3lXpUr7ZDC8B97cfu+z4rB34zFUJfyMHulndP1N8iGPcpLXrFmDyZMnIz4+HjfddBNGjBiBlJQUHDlyBFu2bMGyZcvQ2NiId999F1dddRVaWlqQkZGBcePGYfny5b54HQHnz5xkADCbzfj4449xySWXQK1W+/z5KPSxz5CzBYZc1U+17zeHtzdi3ew9No9PyNKgcDmXt6c2kXCskZdgk39RcFiSzT7XW87BctDi9vR/mvxWlSLQ/NlnuhKveTSSfNVVV2HZsmW444478M9//hMKRftvboIgoEePHnj55Zdx1VVXAQCamprwyiuvYPDgwZ48HRERdZPFaHUYIHe1RGRKng4JWRo0VJqk6xoqTagtM9gsXUsUipwFv/Yj6F0KhOXXy4LizpaDZtnWwPP4E5g5cyYKCwuxdu1a/Pzzz9Dr9YiPj8cZZ5yBiRMnIiEhQbpvz549MXHiRK80mIiIuu5ImcEmQPZ0gSGVVonC5XkdFgzYvKgCk9/haDIFD3ltYXfSRToNft0NhO0oVIBgaftCOvGVjkFxV5aDJv/yKEhetGgR+vfvj7/97W+4/vrrvd0mcoOl2Qrzn2pYmq0I01+ziMgLxEChtPiAdJ0uVY3C5Z4vMCQuGFBQnCOlXugPmVC+oQ6545IYKEcwi9GK6l9OwFQejeqfTiBlQFxAcqoB2Aa87pa6s+eq+oecbBti2gQAh6kTDIpDh0dHyMWLF+POO+/0dlvITRajFWun7YH+YBo++PR3XHB/ttfXYiei0OcsB3n04n5e+SlXnnqhVAGliyqwo6Sa+ckRxvESyan45O19ntVhdvd+nd0m526pO3tOtu8oEBaDdUfnYqZOhCaPPrXs7GzU1QVXLbtIUlduhP5g27fjxj/N0so1gViCkoiCk7Mc5IQsDVLzvFOsX0y9KN9Qh9JFFQCYnxwpHAfGDgSyzrOcm4G2q+C3s0CYfT78eBQkX3vttSgpKUFDQ4NN7jH5R1KuFvGZ0VKgLDLUmrFi4k4IrV2fjENE4cNitKJ8Q51XcpA7o9IqkTsuCT+9ehj6Q8xPjgTN9Ra8N/VXNNW6sapVAEeS7atFuJOy0Vnwy0A4sngUQc2bNw8//vgjxowZg0WLFuEvf/kLUlNTvd02ckKlVWLimwOx/rVNMG/sixNV7SdC4eQBwlBjxntTf/XJSZGIgpc8xUKpAqwW339pVmmVGLXANj+Zo8nhRxw9/mLefqcBclxGNEbcl4EffvgBIy44N2A5yY5SEF0Fu+yr5IhHR0ytVgugrdzbFVdc4fR+CoUCFos76ydTV6lilIjONuOy5afi6M5mbH6kAoZaMxRR7YFyU60F62bv4agyUYSwT7GwWoBRC7L9MpkuJU+H+L7RHE0OU87y2wHbEduUPB0EVSs0x1qQfmYPqNUqt4NTT+7X2W1E3eFR1HThhRfa1EamwFHFKJF5XgKmrMlHXbkRsb3UWDtrt82BjKPKRJHBvsybLk3tt2oTjkaTWe0i9MlHjw21HRehKVjQD+lDe9gtQOMqOZgodHgUJH/55ZdebgZ1l0qrRGp+22ScKavzOxzUOKpMFL6clnl7278juax2EV5crdDIQReKBOzdYUisYVq4PA+6NNsiyoYaM1YV7UJzPdNgiMKBxWjF6qllWD97j02FAW+VeesKsdrFqAXZsJ48xIjVLih0WIxWVG1vxOqpjldonLx8MHoPi2OATB4T+9jh7Y1orrfgyK9NEMzBl6HQrSNoS0sLPvvsM+zevRsGgwHz588HADQ3N0Ov1yM5ORlKJXeiQIlJVDkcVW6ua2X6BVGYOFJmsFkiGvBumbeuYrWL0MbRY/IVi9EqpYV+MPM3afKnuCJhVFIqLOODa4E0j3v6hx9+iKysLFx++eW4++67UVxcLN32yy+/oHfv3njnnXe80UbqBvmockxSlHS9mH6xemoZLEZrAFtIRJ4QR2K+lKVYxGVE4/KlAwOe3iDmJ4vE/GQea4Jbc70Fq4p2cfSYvK653oKVhbvwwfTdWDFxp011FOHkn611atSXNweohY551Nu/+eYbTJ48GRqNBs899xymTp1qc/vZZ5+NU045BatXr/ZKI6n7YhJVKFqV3yH9gj+FEoUeZykWo4pzgiaQEfOTAUj5yfxSHpzk6RXNde2T7mJTVbh86UBMWZ3PeSzkEUepO4LdvE7Fya4VlWRGYm6Mn1vomsfLUvfs2RPbtm1DSkoKjh071uE+w4YNww8//NDtBpL3yNMvSosPSCfX0uIDKCjO4c9oRCEi2FIsHOFqfKHBWXpFTFIUJi8fzOCYPOasb4mlasXqKMmDYlFXYcAPe0uhigmuGMSj1nz33XeYOHEiUlJSnN4nMzMT1dXVHjeMfENMvygozpGua6xqwbrZe7CykBP6iIJZMKdYOCLmJ8f3jZau27yogqPJQcLZ0uW6NDWKVnH0mDznKnXn2rVDMOn1QbhmzRD0HRGPmEQVUgbHQqEWAtRa5zzaA0wmU6fLUTc0NHDSXhCTl2oSiZUveHAkCj5iioX9CLKYYhGsHNVPris3SiUrKTD8uXQ5RQ55XW371B153+rRO9rFVoKHR5FQ//79sW3bNpf3+fbbbzFo0CCPGkW+J/4UysoXRKEhFFIsnJF/KY/vG41WkxUWo5XHlwAJxNLlFP7CMXXHoyNUYWEhvvrqK7zxxhsOb3/66aexa9cuTJkypVuNI9/qrPIF0y+IgkNzvQWb5u2TLgdzioUj4pfyy5YOBKBgZZ0Asv8ZXFy6nJPzqDvCNXXHo6PrPffcg9NOOw033HADxo0bh02bNgEA7r33Xlx44YW47777MHToUMyZM8erjSXfcFb5QlzO+vD2Rp7MiAJEPPnISyYFUxULd6m0Sqg0SugPtY2Gs7KOfzmrYOHPpcspPDlL3QmHyigetbxHjx746quvMGfOHKxatQqtrW073NNPPw2FQoGioiK8+OKL0Gg0Xm0s+Y6zhUe4nDVR4Dg6+ejS1CGRYuFIUq4W8X2juciIn7n6GdzfS5dTeAn31B2P94zExES8/fbbqK6uxscff4y33noLH374IaqqqrBixQokJiZ6s53kB1zOmih4iMX3SxdVQHnyXCOefEI1qHG0yAhHk32ns+WlQ/lncAosR30rHFN3uv0qevXqhQkTJnijLRQkuJw1UWDZ5/eJJ59w+Fk8JU/H0WQ/4PLS5CvOKu2EY+pO+LwS8ipO6iMKDGcpFuFy8uGS1b7H5aXJlxxV2gn1X7mc8XgkuaysDC+88AK2bt2K48ePS3nJcgqFAuXl5d1qIAWWOKnPfkRCnNTHEQki73GV3xdO+5i8JJy4ZPWOkuqQqdYRrNytUUvkKUeVdsJ5xV6PguTS0lJMmDABJpMJKpUKaWlpUKk6bkoQgm/1FOq6zib1JWRpeHIj6qZwTrGwxyWrvS8ca9RS8JB/AXNUaSdcebTX3H///bBYLFi2bBmmT5+OqKiozh9EIU2efmF/IObJjaj7jpQZwjbFwhFxyeqfXj3M/GQPiYFLq8mKzY9USAMYonCqMkCB4yoHOVQr7bjLoyPRzz//jGuuuQYzZ85kgBxhxFHly5YORFxG+7KSpcUHWE+ZyAPiLPEviw9I1+lSwy/FwhHmJ3tG7DPvFv2K9bP34JPb9toEyOFSo5aCQyTlINvzaO+Ji4tDamqqt9tCIUIcVS4ozsG62XsAAI1VLaynTNRFzkZoRi/uFzH7EPOTu8ZZWoWIx2DyFvGXilLZF/hwz0G259ErvPTSS/HVV195uy0UYsSTmxzrKRO5z9EITUKWJux/wpQT85NHLciG9eRhg6vxOeasagXQvlQ5R4/JG8Qv8Otn70FjVYt0fSiu9tkdHr3KJ598Eg0NDbj99tvR1NTk7TZRiBBPbpctHQhdavviI2I9ZaZfEDlnMVpRuuiAdFkMciJxBFXMT47v257CtXlRBY8fJzlbUjo2VYWLnz8Fly8diKtXsbQbeQ+/wLfx6OtmUVERdDod/v3vf6OkpAQDBgxAQkJCh/spFAps2rSp242k4CWf0LeqaJd0AOdy1kTOibWQxQlrQPjPEu+MmJ8spnCJq/FF+oRgVq0gf4u0Mm+ueLR3ffnll9LfJ06cwE8//eTwfgqFwqNGUehhPWUi9ziqhRyJIzSOcDW+dvKSW6xaQf4ilqKMpDJvrnh05LFarW79c7TAiL/l5ORAoVDY/Lv//vtt7lNZWYnLL78cOp0OycnJuP3229HS0uJki+SMvPKFPP2Cq/QRtXFWCzkSUywcYbWLtj5ycEsDVl61C+tn72HVCvIbZ6t9RvIX+IjYyxYtWoSbbrpJutyjRw/p79bWVlx66aVISUnB119/jWPHjmH69OkQBAHPP/98IJob0lzVUxYn9RWt4gGeIlOk1UL2hKNqF9tergr7kVN5JQH5RCkRR4/Jl+SVdsJ5tc+uioi9LS4uDunp6Q5v27BhA8rKynDw4EFkZGQAAP75z39ixowZePTRRxEfH+/PpoYNZ6v0iZP6mH5BkcRRKaVIqYXcVY5W4zPUmLH6ujJMWZ0flu+Xq7JuXFKa/EE+US+cV/vsKrdf/VlnnYWlS5faXPe///0Pc+fOdXj/hQsXOlyqOhCeeOIJ9OrVC0OHDsWjjz5qk0rx7bffIj8/XwqQAWD8+PEwmUzYvn17IJobNuSjyjFJ7YvOMP2CIklzvQUrC3d1KKUUSbWQu0qsdqFLa0/bMtSYwyr1QqxYcXBLA1ZPdRwg61LVmLycVSvIdxwtZhTfV8MA+SS3j9A7duxAdXW1zXXfffcdnnvuOSxZssThYwRB6F7rvOD//u//cNZZZyExMRE//PADHnjgAezfvx/Lli0DAFRXVyMtLc3mMYmJiYiOju7weuVMJhNMpvbyKHq9HgBgNpthNjsu8u5N4nP447m6K6oHcOXyU/Hh9D8cTuobtTALyafFQhXDHdKXQqnPhAtLsxVrpu6Godb2y2B8ZjQSB0aHxGcRsH6jAq54fYB03FCIqRcv/Ykr3hiImJ6h+QXD0mzF0bImfLX4IE5UOR45vuChvoiKViL5tFhExQgh0U/keKwJDZZmK9ZO2wP9Qdv0nvMf7ANB1Qqz2X/zyvzZZ7ryHCF5lCkuLsbChQtd3mfr1q0YPnw47rzzTum6008/HYmJiZg8ebI0ugw4rsIhCILL6hyPP/64wzZs2LABsbGx7r6Ubtu4caPfnqu7dDMViK5SoWFNL1gb27peU60Fn9yyD8p4C3rNroUyNjxGiYJZKPWZUCaYFWj+NQaG2l7SdYo4C3peVQd1hhkbPt/n4tHBJ1D9RjdTgahfY6D/sO19NNRasLLoFyT/owYKdeAHYtwlmBVoqVRB/2H78c+eMt4C3fVV+PnYgbYrDvuvfb7AY01wa6mIhv6g7erJUUlmbD/4FRTVgdm3/NFnurK+R0gGyXPmzME111zj8j45OTkOrz/33HMBAHv37kWvXr2Qnp6O77//3uY+9fX1MJvNHUaY5R544AGbVBO9Xo/MzEyMGzfOL3nMZrMZGzduxNixY6FWqzt/QBBpvtbSYVTZqleh8dVMXLn81JAdIQp2odxnQk3zcYvNCKhgAXSpKlzxRl7I9e9g6DeW8Vas+a59RN6qV2FY5oVIP6tHJ48MLHHUuNVsxZYn/nQ4cgwAPTLUuHB+Ztj8ohYMfYZcszRb8cF1vwNo65OB7oP+7DPiL//uCK2j9UnJyclITk726LFiTefevXsDAEaMGIFHH30Uhw8flq7bsGEDNBoNhg0b5nQ7Go0GGo2mw/VqtdqvBwV/P583qFPUTif1rb1+Dyep+Fgo9plQYjFa8eH036QvgUKYTIIJZL9Rq4HC5YPx3tRfpfqtXy8+FLQLHHRWqQJoS6sYNT8HKo0yKF+DN/BYE7yO/tKIxj/bv7QVFPcLioV7/NFnurL9kAyS3fXtt9/iu+++w+jRo5GQkICtW7fizjvvxBVXXIGsrCwAwLhx45CXl4dp06bhqaeeQl1dHe6++27cdNNNrGzhQ1ypj8KRszqjoR4gB4OYxLYqD+KKfI1VLUF3rLAYrTj8UyM2P1LRYQEQOV2qum1CcxC0mSKPxWhF6aID0uX4vlzMyJmw3kM1Gg1WrlyJhQsXwmQyITs7GzfddBPuvfde6T5RUVH46KOPcOutt+L888+HVqvF1KlT8fTTTwew5ZGDK/VRuHC0kh7rjHqXvIaySJoA7OdRWYvRirpyI+L7aFC3z4hWkxVfP17pdOQ4LiMaFzyQFdYjxxT8xC/y4qqWADByQTb7oxNdCpLfeustfPfdd9LlvXv3AgAuueSSDvcVbwuks846y6a9zmRlZWH9+vV+aBE54qymMkeVKVQ4W0mPI8jeJdZQdnSs+OS2tnOOr4JReVB85DeDNFqsiAIEJ0UAIiGlgkKHowVDErI4iuxKl6KOvXv3Ogx+P/30U4f3d1Udgkius5X6AjFSROQurqTnP66OFUBbGoYYMOtS1Zj46iDoq0xQAG4dO+xHiBUA4jI0WDtrd9tETLug2FmAzJQKCjZcMKTr3N579+/f78t2EAFwPaosP/Hx5EPBgCvpBY78WOFsgpyh1ozlV+wETlaWFEeZAUClUSKxv1YKhBP7a52PEEcBOPl3h6BYiQ7b55d5CjaO8pAZIHfO7SgjOzvbl+0gknQ2UmSoZb4yBZ6zpYS5kp7/iMeKq1cNRm2ZwXFesKz0unyUGYBN8GvzN+yCYfnfsqDYk5FqIn9jHrLneCSnoOVqpIj5yhRI9jnIIub3BYYYLAPA1asG21SYcJUzDGeBMGATDEu1rtPUmPhKx6C4R+9o774gIi9hHnL3MLKgoCYfKXJUWolVMMjfHJV5i01VsQ8GCZVWiczzEjBlTX7n1SecjCTbjxAn9tdC/6cJSblaBsUUUpiH3D0MkikkyE98rIJBgeKqzBv7XXBRaZVIzW8bLZOPMotpGY5yksW/HY0Q8/OlUMM85O7jXk8hpbMqGKuKduGqN/LQdMwsjfoQeQPLvIU+eVqGSH45GFYcI/IG5iF7B4NkCknOqmA017VixcSdEFo5wkfeFY5l3hwtiGE/wtojS4WWCjWqfzqBlAFxHUZbiSi4MA/Zexg9UMhytrS1OEmH+crkDaFW5k1sr30Kgfi3GAi7qv3bMVc3DZ+8vq/TvF359rnPEQUG85C9h0EyhTz7pa3lJ3zmK1N3BFuZN0cLXcgD4bgMDT6Y+Ruaai1tD3BR4sxl7V9nVR9kf9vXILbfvrxmsKN8XyLyPuYhexcjBgoLYvpFXbkRsb3U0giZiPnK1BXiaKw8lUfkr58t7UeE3VnookMg7KrEmZPavy63ab99+WPstm9Tk1j2OC64QeQ7deVG5iF7EYNkChvy2ezMVyZPyfP55HxV5s1RXjAA23Jl7i50YR8IuwhwHdX+dZaT/OmKL3DuuSOQMiDOvWDdnux6R8tG84srkXfE99FAl6aGocbMPGQvYIRAYYn5yuQpeT6fyFtfqsTRYbfyguVcLHQhD07FwDc2VYWCBf2QPCjWaU5yZ7V/xUoPZrMZ0dlmpJ/ZA2q1ymENYvvtA66DfJGh1mzzxXXiKwyYiTxlMVqxdmbb8USX1vYFlPtR9zBIprDmbr4yT84EtOUgb5q3T7oclxGNguIcj75IORohdrWYhdMA2e5+zibMOVr0AnBd4szToN9RDWL7v8WaxPYBtP17IP/iyl96iDwjlnwTv+AbaszQ/2niPtRNfPco7LmTr8yTc2ST5yBLk94AjCrOQW83a+fKc4g9GiG2ywvubOKbfORXHpwGS9+1r0nszrLR8oB5VdEuFK3KD5rXQxSsnJV8S8rVBrppIY9HH4oIneUr25+cOcEvcjirYKFLU7vM57MPip1VlXA1QuwqL9h+9DpcFrqwXzZa/sVVHjA317UyJYrIDSz55jsMkiniOFq1z/7kzDzJyGC/ip5I/EVBpVV6NLHO2QixODoMwK284HBm/8VVDJjXXF8mzSFgCUci11jyzbd4xKGIZZ+GIT85M08y/Ik5fPIAWZzwJggC6vcZPZ5Y52iE2FmNYPYn24BZPodAxIm2RI6x5Jtv8ehMEc3ZydlVniRTMUKfPMVCDGhjEqMw4ZkB+PTOPzxOm5BXlYjUEeLucrbkPEeViWxZjFZYTFbE99VAf8jEkm8+wKMM0UnOJvgxFSN8NNdbsG9THX7872E0HW0LhAWLeFsr1lz/m1tpE0DHiXX2VSUYxHnOUUqUyFBjxurryjBldT73OYpY8sl68X2jcfnSgfyVxQd4FCeScSdP0lkqBgPm4CPPJ67apsdnD+63XSXOnhtpE84m1jEo9j5no8qGGjNqywxhM5mRqKvkk/X0h1oQpVHyvOMDPKoTOdHVVAwxYBZ/ck8f2oMHLT9ytVBHh2WXnWDaRPCRjyq/N/VXKRVm86IKTH4nj/sYRRxHk/VY7s03GCQTucGdVAz5IiUfz/nD5ud4/gzmPfLSa64WqbCpOOEiQGbaRGiISWxbFnzd7D0AAP0hE8o31HEmP0UcTtbzHx79idzkLBXDWfWDxqoWfHLbXgAdS38xaO6cfem1zuoRd+DsegVw1VunocXQ6rDiBIPi4JWSp0NClkZaNKF0UQW2vVzFiXwUUeL7aKBLU8NQY+ZkPR/jUYXIA84CZpsATkYeMAOdj15GGlepEjZfPlzVI3aDJjEKhW/mMW0iRKm0ShQuz0P5hjqULqoAwIl8FFksRivWzmw7NurS2paoZ7/3HQbJRN0kD5ivWTNECvY6/PwvIw+aO8uDDRf2gbC7qRKCq6BYdr+4jGicfVsffPVEBVqO2+ZXxKaqWGM3TKi0SuSOS8K2l6ukqheGGjNTLyjsibXdxQl7hhoz9H+a+CuKD/GdJfIicZIRAFy9arBbAbNYgkzMZXa2EEWwjjg7C367lDNsz0npNUdfKOTPtfq6sg4BMuvqhh+VVonCt9vLw4mpFztKqlG4nJP5KPzIS74pVW3LTydkccKer/GsQeQjzgJmwPWSxmLQbKgxY/kVO90OEMVg1Fmg2mJsQUtFNJqPW3CkstnmNne30dVRYI9yhuF8xTpHXxRS83SoKzfi6O6mDqvncfQ4fImTaeWpFw2VJpaGo7BUV26URpCtFmDUgmz+cuIHDJKJ/EAeMAPtQXOnk9Fkg6L2I84ug1Gnt6VixVtljm9zexsOLsu5mzNslyohn9hoHwzLc4jlI8I2K+dFtW9al6pG4XKOHoc7MfXip1cPS7P9WRqOwpH9ZD0GyP7BMwhRANgHzWIusxg0d3nSmn0w6sltnm7DnpPg2lEgLI5UOxrtdRXgiike8gUm5LnLoxf3Y4AcIVRaJUYtyGFpOApbnKwXODyLEAUB+6BZrJjhdvkzT0eBvbANV8FvZ4GwJz+Ly0eP5cQvFCyJFHkclYZjfjKFA07WCyy+y0RBSF4xw9mIc1fziVuMLdj64w+YcG0BGistXslJdif49WZ+aHO9BauKdklLhIu4LHhkc1QajvnJFOo4WS/wGCQThRD7EWdXwaj9bWazGT8fa0FMTxXiUrQebcPZbb4mT6+QB8j2k/NY/zhyMT+Zwg0n6wUe32kiCmrN9RasLNyF9bP3SPnHABCTFIXJywej97A4njQIQHt+skh/yIS6cmPgGkTUDeJkPQCcrBcgfLeJKChZjFZUbW/E6qkd8491aWoUrcpnXh51IOYnA239JL6PJsAtIuo6TtYLDnzHiShoWIxW1O4y4MThFoejx7GpKly+dCCmrGaATI6ptEpMfHWQVC5r7czdsBitnT+QKIjIUy3EyXrkfzzLEFFQsK95LNiVmePKeeQu/Z8m6deHhkqWhKPQY18XmZP1AoNHDCIKOLFqhRjYyANkjh5TVyXlaqWUC7Ek3OqpZRxRppDAVIvgwXediAJCzDk+uKUBq6eW2VStEFfP06WpOTmPukwsCTdqQTasJ8uKiyXhiIKZs7rIFBgcliEivxLLuZUWH0BjVUuH22OSonDVG3mseUzdwpJwFGpYFzn4MEgmIr+wGK04/FMjNj9SYTMZT06ed8yax9Rdjpasris3Sgv1EAUT1kUOPgySichnxFHjVpMVXz9e6XDkGGhb2rqgOMfh6n1E3SFfsjq+bzRaTVZYjFb2Mwo69pP1GCAHHoNkIvIqdwPj2FQVRs3PgUqjZHBMPiPmJ9eWGbB5UQXWzd6DhCwNCpcz7YKCByfrBScGyUTUbe4GxiJdqhqFy1nOjfxDpVVCpVFCf6jtp2xxEp8/l1YncsVRXWQeHwOPnwARdZkYFCsAxGVo8MHM39BUa3H5mLiMaFzwQBZHjikgknK1iO8bzUl8FHQsRissJivi+2qgP2TiZL0gwiCZiDolHykGYDtaHAWg1fHjGBhTsOAkPgpG8ooW8X2jcfnSgTxWBhEGyUQEwDYQVmmUSOyvRd0+Y+cpFHYBMgNjClbySXy6NDXi+2gC3SSKcPI0C/2hFkRplDxmBhEGyURhxGK0oq7ciPg+GtTtM0IBSMFui7EFLRXRaD5uwZHKZpvbHAbCLkaI5RQqQLC0TcQrWNAP6UN78CBPQUmlVWLiq4Ok5c/XztzNCXwUUFx+OrgxSCYKA/Y1iBVRsqWdbYLdVKx4q6z9sqtA2EWALB8tTuyvhf5PExf+oJCg/9MkLX/eUGlC+YY6ltqigGBFi+DHIJkoRLmqKCHIA1z7YNfVbXKyAFoMigE4TKPgLGwKFUm5WinlQqkCShdVYEdJNUeUye9Y0SL48dMgCjGdLesMAFACsJ782360WH7ZRSAspmIoAOYWU9gQ6yaXb6hD6aIKAG0jypzER/7EihahgUEyUYhwZ1lnoK0G8cRXB0FfZeqQk7z1xx8w4doCNFZabG5zFgizjiyFI5VWidxxSdhRUs1JfOR3rGgROhgkEwU5d0aOHVWU6NE7Wro9Y1gczGYzfj7WgpieKsSlaG1uI4o0nMRHgXKkzMCKFiGCQTJREGuut0gncXtc1pmoeziJj/zNYrSidNEB6XJ8X6ZZBDMeCYiCkMVoRdX2Rqye6jhA1qWqMXn5YGSel4Dew+J4UifygDiJD4A0iW/11DJYjNZOHknkmbpyo7TqIwCMXJDN43cQ40gyUZBxNnrMkWMi7+IkPvI3+7rIqXnsZ8GMQTJRkBBzj7+Yt7/DxDxdmhqFb+exPBCRl3ESH/kL6yKHHn46REGgud6ClYW7sH72HpsAOTZVhcuXDsSU1fkMkIl8RJzEJ47wrZ25mykX5HWO6iJTcGOQTBRgzfUWrCra1SG9QpfWlnfMnGMi37OfxFdXbgxwiyicyOsiA2Bd5BAR8mfeRx99FOeddx5iY2PRs2dPh/eprKzE5ZdfDp1Oh+TkZNx+++1oabEtpbVz506MGjUKWq0Wffr0waJFiyAIgh9eAUUq+eS85rr21T44ekzkf/JJfEy5IG8S6yKvn70HgIDLlw5kucEQEfJn4JaWFlx99dUYMWIEXnnllQ63t7a24tJLL0VKSgq+/vprHDt2DNOnT4cgCHj++ecBAHq9HmPHjsXo0aOxdetW7NmzBzNmzIBOp8Ndd93l75dEEUBeTF4uJikKk5cPZnBM5Gesm0y+Ik+zYF3k0BLyZ+KFCxcCAEpKShzevmHDBpSVleHgwYPIyMgAAPzzn//EjBkz8OijjyI+Ph5vv/02mpubUVJSAo1Gg/z8fOzZswdLlizB3LlzoVAo/PVyKELIi8mLODmPKLBYN5l8wb6iBdMsQkfY7/nffvst8vPzpQAZAMaPHw+TyYTt27dL9xk1ahQ0Go3NfaqqqnDgwAF/N5nCmJhi8WXxAem6uIxoplcQBQHWTSZvY0WL0Bb2Z+Tq6mqkpaXZXJeYmIjo6GhUV1dL98nJybG5j/iY6upq9OvXr8N2TSYTTKb2kUC9Xg8AMJvNMJs7Lv7gbeJz+OO5yDuaj1vw4fQ/OkzQu2BeXySfHgMBrTCbW508uvvYZ8gTEdVvVMAVbwzAvo3H8c2jhwC0jSjX/t6IlMGxAW5c6IioPtOJI7832VS0qKswIKUH+5I9f/aZrjxHUAbJxcXFUhqFM1u3bsXw4cPd2p6jdAlBEGyut7+POGnPWarF448/7rCNGzZsQGys/3aAjRs3+u25yHOCWYGj/06DVW+7y0UlmbH94FdQVPtvkij7DHkikvqNYFUgKikVrXVqKOMt+P63zVBWcDS5qyKpzzgimBUwV6kQlZiE1no1opLM+GFvKRQVLArgjD/6TFNTk9v3Dcogec6cObjmmmtc3sd+5NeZ9PR0fP/99zbX1dfXw2w2S6PF6enp0qiyqLa2FgA6jEKLHnjgAcydO1e6rNfrkZmZiXHjxiE+Pt6ttnWH2WzGxo0bMXbsWKjVap8/H3VP9U8n8Il+n3Q5NlWFUQuzkHxaLFQx/vnpjX2GPBGp/aZ5lPjLD2BamYOJbw70274a6iK1z8hZmq1YO20P9AdbENdHjQsey/Tr8T7U+LPPiL/8uyMog+Tk5GQkJyd7ZVsjRozAo48+isOHD6N3794A2kZ7NRoNhg0bJt3nwQcfREtLC6Kjo6X7ZGRkOA3GNRqNTQ6zSK1W+/Wg4O/no64RV9H7+pFD0nW6VDUKlwdugh77DHki0vpNfU2LlBqlP9iCys8bOYmviyKtz8jV/26A/mBbqdnGP83QxEZDG8eygp3xR5/pyvZDfm+vrKzEjh07UFlZidbWVuzYsQM7duzAiRMnAADjxo1DXl4epk2bhp9++gmbNm3C3XffjZtuukka8Z06dSo0Gg1mzJiBXbt24f3338djjz3GyhbULfJV9Bqr2utyj17cjxP0iIIcJ/FRd4gVLQAuHBLKQj5IXrBgAc4880w8/PDDOHHiBM4880yceeaZ2LZtGwAgKioKH330EWJiYnD++eejqKgIkyZNwtNPPy1tIyEhARs3bsShQ4cwfPhw3HrrrZg7d65NOgVRV1iMVqneqlxClgapeboAtYqI3KXSKlG4PA+jFmTDamm7jivxkTtY0SJ8hPxwVklJidMayaKsrCysX7/e5X2GDBmCzZs3e7FlFKksRivKN9TZBMixqSpctLg/UvJ0PFgShQiVVonccUnYUVKNhkoTV+Ijt8gXDzHUmKH/08RfD0MUz9ZEXiSmWJQuqoDy5DFRl6bG5OWD0XtYHANkohAjrsQnLgaxduZuplyQS0y1CB88YxN5iX2KhdUCjFqQzUVCiEKco5X4GCiTI0y1CC/85Ii85EiZwSbFQpem5mx4ojDASXzkDjHVzj7VgkIXz95E3eRoqWldqhqFb+cxQCYKA5zER52xGK1YPbXMJtWOqRahj78BE3WDeGAURw5ELPNGFF44iY9ckU/WE1Pt+Eti6OOnR9QNR8oMHQJklnkjCk+cxEfO2E/WY4AcHjjUReQhi9GK0kUHpMtxGdEoKM5hmTeiMGY/ia+2zICMYXEBbhUFEifrhS9+ikQeECdo6A+1r6Q3qjiHZd6IwlxSrhbxfaOly5sXVXA0OcI5qotM4YFnc6IuclQLmSkWRJFBpVVi1IIc6bL+ECfwRTKL0QqLyYr4vm356ZysF16YbkHUBc5qITP/jChypOTpkJClQUOlCfF9o9FqssJitPIYEGHkE7fj+0bj8qUDmW4XZvhJErnJ0XLTrIVMFHnEknCXLR0IQIF1s/ewbnIEkqdZ6A+1IEqj5LkgzHAkmcgNzfUWaQRZqWobQdalsRYyUaRSaZVQaZTQH2oLkjiJL/KIFS0MNWamWYQpnt2JOsHlponIEU7ii1ysaBEZ+IkSdYLLTRORI5zEF7lY0SIy8CxP5IJ9LWQuN01EcuIkPgA2k/govNkvHsJUi/DEMz2RE45qIXO5aSKS4yS+yMNUi8jBsz2RA44m6rEWMhE5wkl8kcVRqgUHT8ITv/oQ2XE2Ua9wOdMsiMgxTuKLDFw8JLLwjE8kw1rIROQJTuILf+LiIetn7wEg4PKlAzl4Eub4+wDRSayFTETdIV+JT5emRnwfTaCbRF50pMzAxUMiDD9dIrAWMhF1n0qrxMRXB0kLTKyduZspF2HCvtJRfF+mWUQCBslEYC1kIvIO/Z8m6VjSUGlC+YY6BsphoK7caFPpaOSCbJ4fIgA/YYp4rIVMRN6SlKuV6iYrVUDpogqWhAtxjibrsdJRZODvyBTRWAuZiLxJrJtcvqEOpYsqALSNKNeVG5Gaz8Aq1IiT9RoqTYjvG43Llw5ESp6OgygRgpEARSzWQiYiX1Bplcgdl4QdJdWcxBfi5DWROVkv8vCTpojEWshE5EucxBceuPx0ZGM0QBGHtZCJyB84iS+0cflp4qdNEaW53oKVhbtQuqgCypPJRqyFTES+wEl8oUscTLFffpoiC3OSKWI4S7HgCDIR+YKzSXy1ZQZkDIsLcOvIGflkPfl8FaZaRB5GBhQRmGJBRIEgTuKL7xstXbd5UQVHk4OYfLIe56tENn7iFPbEUQGmWBBRIKi0SoxakCNd1h9qKwlHwcl+sh4HUyIX0y0o7B0pM3QYFeBBj4j8KSVPh4QsDUvCBTlO1iM5fvIU1prrLdg0b590Ob4vRwWIyP9YEi40yFMtOFmPGClQ2BIn6jXVWqTrRi7IZoBMRAHBknDBj3WRSY7RAoUlZxP1uJoeEQUKS8IFN6ZakD1++hR2WAuZiIKRWBJu1IJsWE/+wCWWhKPAYl1kcoQRA4UVZ7WQp6zOR0wi56kSUWCxJFzwcVQBiakWBDBIpjDCWshEFAoclYRjfnLgsC4yOcMeQGGBKRZEFErEknAA85MDjXWRyRn2Agp5TLEgolDD/OTgwMl65Ap7AoW8I2UGplgQUchhfnJgcbIedYZRBIUsi9GKqu2N+LL4gHSdLpUpFkQUOpifHBicrEfu4G/RFJLEA5w4AiAavbgfUyyIKKTIl6wW85N3lFRz8pgPHSkzdJisx18gyR57A4Uk+QFOlJCl4WIhRBRymJ/sXxajFaWLDkiX4/tysh45xh5BIcVRikVcRjQuXzqQoy5EFLKYn+w/deVG6A+1SJdHLsjmuYMcYq+gkCGmWKyfvQeNVe0HuFHFOeg9LI4HOSIKaY7ykzma7H32Jd/4CyQ5w6iCQgZTLIgo3KXk6Tia7EMs+UZdwZ5BIaG53oJN8/ZJl5liQUThiNUufIcl36irGF1Q0BMXC2mqtUjXMcWCiMIVV+PzPpZ8I08wwqCgJn7zt18shCkWRBSuWO3C+xyVfOMvkdQZ9g4KWs31Fqws3GXzzV+XxsVCiCj8sdqF97DkG3mKPYSCjljmbfXUMmkEWfzmP2V1PhcLIaKIwPzk7hN/jWTJN/IEow0KKs5W0tOlqfnNn4giDlfj85z8fKJUtQ22sCISdQX3MAoqjsq8McWCiCIV85M9xzxk6i72FAoKrlbSY4oFEUUy5id3HfOQyRvYWyjgxAl6XEmPiMgxrsbnPuYhk7ewx1BAiTWQ5SXeAOaNERHZs1+Nr7T4AA5vb+SIsoyzesg8n5AnGCRTQB0pM9gEyLGpKq6kR0TkgP1ocmNVC9bN3sOFRmSYh0zexF5DAeEoB1mXqsbk5YOZYkFE5IR8NT4RJ/K1YR4yeVvI95xHH30U5513HmJjY9GzZ0+H91EoFB3+vfTSSzb32blzJ0aNGgWtVos+ffpg0aJFEATBD68g8jjLQR69uB8n6BERuSBWu7hs6UDEZXAin9yRMgPzkMmrQr73tLS04Oqrr8Ytt9zi8n6vvfYaDh8+LP2bPn26dJter8fYsWORkZGBrVu34vnnn8fTTz+NJUuW+Lr5EcXRIiEi5owREblHpVUiY1gcCopzpOsifaERR6PIPKdQd4X8sN3ChQsBACUlJS7v17NnT6Snpzu87e2330ZzczNKSkqg0WiQn5+PPXv2YMmSJZg7dy4UCoW3mx1xmustDifoxaaqcNHi/kjJ0/EbPxFRFzhaaGTby1UofDsvon6VYzUL8pWI6UFz5sxBcnIy/vKXv+Cll16C1dr+bfvbb7/FqFGjoNG053mNHz8eVVVVOHDgQABaG16a6y1YVbSrQ4CsS2MOMhGRpxwtNGKoMWP1dZEzkY/VLMiXIuKr5iOPPIKLLroIWq0WmzZtwl133YWjR49i3rx5AIDq6mrk5OTYPCYtLU26rV+/fh22aTKZYDK1rwyn1+sBAGazGWazucP9vU18Dn88l6cszVYcLWtCaXElmutapetjU1UYtTALyafFIipGCOrXEE5Coc9Q8GG/CXIqIGtMHHQvqWCobYuUDTVm/P7JEfQf2xOqGP8PQPizz1TvPGFTzeL8h/qi/9ieEFStMJtbO3k0BQt/9pmuPEdQBsnFxcVSGoUzW7duxfDhw93anhgMA8DQoUMBAIsWLbK53j6lQpy05yzV4vHHH3fYxg0bNiA2NtatdnnDxo0b/fZcXWFtUuLY0lRY9bZdTKGzQHd9FX48fAA4HJi2Rbpg7TMU3Nhvglvs9UoYxWOuUsA3jx7Ct88fQK/ZtVDGBmZU2Zd9RjArYK5SoWFtEgA1ACAq0Yw/rN9j7+ecdB+q/HGcaWpqcvu+QRkkz5kzB9dcc43L+9iP/HbFueeeC71ej5qaGqSlpSE9PR3V1dU296mtrQXQPqJs74EHHsDcuXOly3q9HpmZmRg3bhzi4+M9bpu7zGYzNm7ciLFjx0KtVvv8+dwlHz226i02t+lSVbjijTzE9AzKbhf2grXPUHBjvwkdlsus2LfxOL559BAAwKpXofHVTFy5/FS/Hnd93WcszVasnbYH+oMtNtePe/RUpJ81zOvPR77nz+OM+Mu/O4IyWklOTkZycrLPtv/TTz8hJiZGKhk3YsQIPPjgg2hpaUF0dFtJnQ0bNiAjI8NpMK7RaGxymEVqtdqvJxJ/P58rzfUWrLnud07OC3LB1GcodLDfBD+1Gjj14hTsWFYjHYeb61rx4fQ/MGV1vt+Pv77qM0d/aewQICdkadD79ASo1DzHhDJ/HGe6sv2Q702VlZXYsWMHKisr0draih07dmDHjh04ceIEAGDdunX473//i127dqG8vBzLli3DQw89hNmzZ0tB7tSpU6HRaDBjxgzs2rUL77//Ph577DFWtugCTs4jIgo8lVbZVt0iKUq6zlBjDpvycM31Fmyat0+6HJcRzVVayWeCciS5KxYsWIDXX39dunzmmWcCAL744gsUFBRArVbjxRdfxNy5c2G1WtG/f38sWrQI//jHP6THJCQkYOPGjfjHP/6B4cOHIzExEXPnzrVJpyDHLEYrassM+GLe/g6T8zh6TETkfzGJKhStypfKboZLeTiL0YrV15WhqbY9lW9UcQ56D4sLYKsonIXmniJTUlLiskbyhAkTMGHChE63M2TIEGzevNmLLQt/zmofxyRFYfLywSF7ICYiCnUxiSpMWZ2P8g11KF1UAaBtRPm9qb+G5ACGWAtZfr7RpalZ6o18KnT2EAoarlbO06WpUbQqnwEyEVGAqbRK5I5Lgi6tPQezqdaCdbP3YGXhLjTXW1w8Ong011uwsnCXTS1kXZoahW8zxYJ8i5EMdQlXziMiCh1ijrL9cdtQY8aqol1BPaghT+cz1La13WoBRi3IRu64JJ5ryOeCc8+goCIeqFpNVmx+pEI6WInEb/TBeqAlIopkYuqFfcDZXNcatOkX4kp64kIhIl2amgEy+Q2jGnKpud6C96b+ajNRQsTRYyKi0KDSKpExLA6Fy/OwqmiXNNFaTL8ItsGOI2UGhwEyUyzIn9jTqAMx5/jglgasnlrmMEBmaTciotAjVr6Q5ykD7ZP6Dm9vDHipOGdl3qasDt7UEApP7G0EwDal4uvHK9FY1eLwfnEZ0SgozuHoMRFRiHKWfhHIUWX7tD6WeaNgwCA5glmMVtSVGxHbS40PZv7mcMRYFJuqQsGCfkgf2oPBMRFRiJOnXzib1HfVG3loOmZGUq7WZ8d9MTguLT7gcHCGZd4okBgkRxh5YLx21m4YasxQRAFCq+P7c+SYiCh8uZrUt2LiTgitvpuc7axakog5yBRoDJLDnBgUx/fR4MhvBqk6hTwwtg+Q4zKiccEDWVBplAyOiYjCnLNJfeK5QcxXHjU/ByqNEon9tdD/aeryCLM8pQKAw2pJAAdnKHgwSA5RlmYrzH+q0XzcgiOVzWg1WaWDV90+IxQA4jI0TkeL5X+LtzGlgogoctkvZy0/bzTVWvDJbXsBAAoVIFjazxnJg2Kl805ify2O7DkBU3k0qn86gZQBcajbZ+x0vktsqkoKwhkcU7BgkByCLEYr1k7bA/3BNKwoKQPkI8FRaL8s+9t+tFg8+OnS1Jj4yiCf550REVHwE9Mv7NPy5IST01eaai34eM4fTs47qfjk7X22tzkRbOXniETskSGortwI/cGT38btDz6tTv5WAjhZ1UeXqsbEV20D4x69o33XYCIiChkqrRKp+W2T5cR8ZZuJdfaBr7O/HV2WYVoFBTsGySEoKVeL+MzotkDZ/mAluyz+JCaOFuurTFAA0gGJgTEREbki5itfvWowassMUiqfTUUkJ79g2l8W57sAYFoFhQQGySFIpVVi4psD8dGbmzD+6tForLQ4zEm2n1zBoJiIiDwhBsuia9YMkYJm+/POkT2N+Pab7zDignOlnGT5AA1RqGCQHKJUMUqo+5gR01OFuBStzW3yAxlzvIiIyNvsg2b53+ln9YCmugXpZ/aAWq2yuY0olPArHRERERGRHQbJRERERER2GCQTEREREdlhkExEREREZIdBMhERERGRHQbJRERERER2GCQTEREREdlhkExEREREZIdBMhERERGRHQbJRERERER2GCQTEREREdlhkExEREREZIdBMhERERGRHQbJRERERER2GCQTEREREdlhkExEREREZEcV6AaEC0EQAAB6vd4vz2c2m9HU1AS9Xg+1Wu2X56TQxj5DnmC/oa5in6Gu8mefEeM0MW5zhUGylzQ2NgIAMjMzA9wSIiIiInKlsbERCQkJLu+jENwJpalTVqsVVVVViIuLg0Kh8Pnz6fV6ZGZm4uDBg4iPj/f581HoY58hT7DfUFexz1BX+bPPCIKAxsZGZGRkQKl0nXXMkWQvUSqV6Nu3r9+fNz4+ngch6hL2GfIE+w11FfsMdZW/+kxnI8giTtwjIiIiIrLDIJmIiIiIyA6D5BCl0Wjw8MMPQ6PRBLopFCLYZ8gT7DfUVewz1FXB2mc4cY+IiIiIyA5HkomIiIiI7DBIJiIiIiKywyCZiIiIiMgOg2QiIiIiIjsMkkPMjBkzoFAoOvybMWNGoJtGQai1tRXnnXceCgsLba5vaGhAZmYm5s2bF6CWUbASjzF///vfO9x266238nhDTvH8RF0l7zMqlQpZWVm45ZZbUF9fH+imAeCKeyFpwoQJeO2112yu02q1AWoNBbOoqCi8/vrrGDp0KN5++21cd911AIDbbrsNSUlJWLBgQYBbSMEoMzMT77zzDp555hnp2NLc3IwVK1YgKysrwK2jYMbzE3WV2GcsFgvKysowc+ZMHD9+HCtWrAh00xgkhyKNRoP09PRAN4NCxIABA/D444/jtttuw+jRo7F161a88847+OGHHxAdHR3o5lEQOuuss7Bv3z6sWbNG+mK1Zs0aZGZmon///gFuHQUznp+oq+R9pm/fvpgyZQpKSkoC26iTmG5BFAFuu+02nHHGGbj++usxe/ZsLFiwAEOHDg10syiI3XDDDTYjgq+++ipmzpwZwBYRUbjbt28fPv30U6jV6kA3BQCDZKKIoFAo8J///AebNm1CWloa7r///kA3iYLctGnT8PXXX+PAgQOoqKjAN998g7/97W+BbhYRhZn169ejR48e0Gq1yM3NRVlZGe67775ANwsA0y2IIsarr76K2NhY7N+/H4cOHUJOTk6gm0RBLDk5GZdeeilef/11CIKASy+9FMnJyYFuFhGFmdGjR+M///kPmpqasGzZMuzZswe33XZboJsFgCPJRBHh22+/xTPPPIO1a9dixIgRmDVrFrgiPXVm5syZKCkpweuvv85UCyLyCZ1Oh1NOOQWnn346/vWvf8FkMmHhwoWBbhYABslEYc9oNGL69Om4+eab8de//hXLli3D1q1b8fLLLwe6aRTkJkyYgJaWFrS0tGD8+PGBbg4RRYCHH34YTz/9NKqqqgLdFAbJROHu/vvvh9VqxRNPPAEAyMrKwj//+U/cc889OHDgQGAbR0EtKioKv/32G3777TdERUUFujlEFAEKCgowePBgPPbYY4FuCoNkonBWWlqKf//73ygpKYFOp5Ouv+mmm3Deeecx7YI6FR8fj/j4+EA3g4giyNy5c/Hf//4XBw8eDGg7FALPkERERERENjiSTERERERkh0EyEREREZEdBslERERERHYYJBMRERER2WGQTERERERkh0EyEREREZEdBslERERERHYYJBMREQWpDz/8EMXFxaioqAh0U4giDoNkIvK7goICKBSKQDcj5BQXF0OhUODLL78MdFOCRjj3pR9++AFXX301jh49iuzs7EA3hyjiMEgmCiPbt2/HrFmzMGDAAOh0Omi1WuTm5mLatGnYuHFjoJtHRG6qq6tDUVERLr30UvzrX/8KdHOIIpIq0A0gou6zWq24++678cwzz0ClUmHMmDG44ooroFarsW/fPnz00Ud46623sGjRIsyfPz/QzcUbb7yBpqamQDeDwkA49iVBEHD99dejT58+WL58OZRKjmcRBQKDZKIwMG/ePDzzzDMYOnQo3nvvPeTm5trcbjQa8cILL+DYsWMBaqGtrKysQDeBwkQ49iWFQoH169cHuhlEEY9fT4lC3N69e/Hkk0+iV69e+PTTTzsEyACg1Wpxzz33YOHChdJ1e/bswb333ouzzjoLvXr1QkxMDAYOHIj7778fJ06c6LANMffTZDLhwQcfRFZWFrRaLYYNG4bPPvsMANDY2Ijbb78dffr0QUxMDEaMGIFt27Y53ZZcSUkJFAoFSkpKsGnTJlxwwQXQ6XTo1asXpk+f7jTAX79+PUaPHo2EhARotVoMHToUzz77LFpbW7v0Pu7fvx833ngjsrKyoNFo0Lv3/2/vToOiuNo9gP+RgXGAGRCLQVBkijAiFqIgUSyCA4io5YKKG8SFQi0QC0wcsdQsuOU1LuCSmJTG3SQmljFxS9RoxC2AC7hGNCVEFEtUZDGyy3M/vNUdmhlgJsF4vff5fYJzTp+lT3fxTHP6jAtiY2ONvjBlYWGBkJAQPH78GHFxcVCr1VAoFAgMDDR7vXBtbS3S09Ph7+8PW1tbKJVKBAcH48CBA2bV0xbjysnJwdixY8Wyzs7O6N+/Pz7++GNJOY1GA41Gg9LSUsyYMQPOzs5QKBTo27ev0X4/ePAAqampCAwMhFqthlwuh0ajQWJiIh49etTseVm3bh369u0LpVIJOzs79OjRA3PmzEFpaalYrrk1yfX19VizZg169eoFhUIBe3t7hIaG4vDhwyafu4yMDFhYWGDRokXIzMzE4MGD4eDgIGmPiLB161YEBQVBpVLBxsYGAQEB2Lp1q9E6iQg7duzAgAED4ODgABsbG2i1WiQkJKCwsFAsFxsbCwsLC/zxxx9G+3P69GnodDrY2dnB0dERMTExuH//vkF7wlyVlZUhOTkZbm5ukMlk2L59u1jG3Hvo6tWrmDRpErp06SJeU0OGDMHBgwcl5dpiDhh7pYgx9lp77733CAAtXLjQrOOWL19Ojo6OFBUVRe+++y7Nnj2b+vXrRwAoMDCQamtrJeV1Oh0BoMjISPLw8KBZs2ZRXFwcyeVyksvldOnSJQoICCAfHx9KTk6m6OhoateuHTk6OlJ5ebnRuhrbtm0bAaAxY8aQtbU1RUVFkV6vpzfffJMAUFBQkMEY1q5dSwDI0dGREhISSK/XU7du3cR6GhoaTDoXWVlZZG9vTzKZjEaPHk0pKSk0btw4kslkpFar6c6dO5LyAKhXr16k1WqpT58+9M4771BMTAxZWlqStbU1Xbt2zaR2q6urKSQkhACQn58fJSUlUUJCArm5uREA+uSTTyTlU1NTCQCdPHmyzceVm5tLcrmcbGxsKDo6mubPn08JCQkUHBxMHh4eknrd3d3JxcWF/P39ydvbm1JSUmjGjBmkVCrJwsKCvvzyS0n53bt3k62tLY0cOZKSk5NJr9dTWFgYASAPDw8qKyuTlK+qqqIBAwYQANJqtZSUlERz586lyMhIUigUlJubK5Y1di01NDTQmDFjCAB169aN9Ho9JSQkkKOjIwGgdevWmXT+Tp48SQBo0KBBZGVlRREREZSSkkITJkwQ24mJiRHbiY+Pp6SkJOrevTsBIL1eb9CvCRMmEADq3LkzJSQk0Lx582j8+PHk4OBA33//vVh26tSpBIAKCgoM+jN48GCytram0aNH04IFC2jw4MEEgNzc3Ojhw4cGc9WpUyfy8/MjT09PmjlzJs2ePZt+/PFHIjL/Htq3bx/J5XKysrKiMWPG0IIFC2jatGnk4+NDkZGRbT4HjL1KHCQz9poTgqzjx4+bddz9+/eppqbGIH3x4sUEwCDQEYKRoKAg+vPPP8X0b775hgCQg4MDjRs3jurq6sS8FStWEABKT083WldjQpAsk8no7NmzYnp9fb04xszMTDH9zp07YrBXWFgoptfU1Ij179q1q9XzUFtbSxqNhpRKJV2+fFmSd+bMGbK0tKThw4dL0gEQAEpMTKQXL16I6Zs3byYAFB8f32q7REQLFy4kALRo0SJJMFJRUUEBAQFkbW1NRUVFYro5QbK545ozZw4BoP379xvU9eTJE8nv7u7uBIDCwsIkH6Zu3rxJCoWCHBwcqKKiQkwvLi6mZ8+eGdS7Y8cOAkDLli2TpKekpBAAmjx5MtXX10vyysrKJHUZu5Z27txJAEin00mu8Xv37pFarSYrKyvKz8836E9TQlAKgLZs2WKQv2nTJgJA06ZNk1z3NTU1NGLECAJAFy9eFNM3bNhAAGjgwIFUWVkpqauyspJKSkrE31sKkgHQ5s2bJccL921cXJwkXZiriIgIgzbNvYeKi4vJzs6ObG1tKScnx+B83Lt3T/y5reaAsVeJg2TGXnPCU6u8vLw2qa+kpIQAUGxsrCRd+KOZkZEhSa+vrycrKysCQHfv3pXkFRYWEgCaOnWq0boaE4LkKVOmGPRJyFu/fr2YtmTJEgJAK1asMCifmZkpBiOt2bdvHwGgpUuXGs0fM2YMtWvXTvI0HADZ2toaBH51dXUkk8nI39+/1XZfvHhBHTp0IE9PT6NPvA8cOGDwNNmcINnccQlB8rFjx1qtWwi8zp07Z5A3a9Yskz+gNDQ0kEqlopCQEDGtvr6eVCoV2dvb09OnT1utw9i1JDylzs7ONii/fPnyFs9LY0JQ6ufnZzTf19eXbG1tqaqqyiDv6tWrBk+Te/ToQZaWlnT79u1W224pSPby8jK4ZiorK8nJyYkUCoUkKBXm6sqVKwZtmHsPrVy5kgDQhx9+2Gr/22oOGHuV+MU9xv6fIiJs27YN27dvx/Xr11FeXo6GhgYx/8GDB0aP8/Pzk/xuaWkJtVqN58+fG7xE5eLiAgAoKioyuV/+/v4GaV26dAEAlJWViWm5ubkA/rsmtanAwEAoFApcvny51faysrIAAHl5eVi0aJFB/sOHD9HQ0IDbt28jICBATNdqtbCzs5OUlclkcHZ2lvSzObdu3UJpaSlcXV0la8UFjx8/Fvv1d5g7rrFjx2Lt2rUYNWoUxo8fj0GDBuGtt95q9sU4KysrBAYGGqQHBwdjw4YNuHz5MiZNmiSm79u3Dxs3bkROTg5KS0sl610bX2t5eXmoqKhAeHg4OnTo8LfGnpubK66Rbkq4Xky5NgTG6qmsrMS1a9fg6upqsGYbAOrq6gD8NX/Pnz/Hb7/9Bk9PT2i1WpPbNiYoKMhgHbbwfsCRI0dw+/Zt+Pj4iHnt27dHz549Deox9x46f/48ACAiIqLVPrb1HDD2KnCQzNhrrlOnTsjLy0NRURG8vLxMPi45ORmffvop3NzcMHLkSLi4uEAulwMAFi9ejJqaGqPHqVQqgzSZTAZ7e3uj6cBfAYMpWqqncWBVUVEBAHB2djZaj1qtNik4f/r0KQDgq6++arHc8+fPW+2n0FdTXhoU2r1x4wZu3LhhcrumMndc/fv3xy+//ILly5dj9+7d4otdffr0wapVqxAaGio5rmPHjka3JhPmo7y8XExLS0vD3Llz4eTkhIiICHTp0gUKhQIAsHbtWsm1JnzA6Ny5sxmjlaqoqICbm5vRvE6dOhn0rzXGrrHS0lIQEYqKiox+yBEI57ctxiVQq9Ut9rPp2NRqtdGXG829h8wZQ1vPAWOvAgfJjL3mgoKCkJGRgRMnTiAsLMykYx49eoQNGzbA19cXmZmZsLGxEfMePnzY4h/9/y2EYL24uNjot5E9evTIaEDfXD0HDx7E8OHD27aTJrQbFRWFvXv3vrT6zRmXTqeDTqdDVVUVsrOzcfDgQXz22WcYNmwYrl27Jtk5paSkBA0NDQaBcnFxMYC/PkTU19dj6dKlcHV1xeXLl+Hk5CSWJSKsXLlScryDgwMA8/770JRKpRL70ZSQbsq1ITAWYArH9+nTx+gOLk0J5+OfjEvQ3I4gTc+9oLlvJDT3Hmo8NxqNpsU+tvUcMPYq8BZwjL3mYmNjYWlpiU2bNon/om+O8MQuPz8fRITw8HBJgAwAZ86ceWl9bUvCsg9jW66dP38eVVVV6N27d6v19OvXDwCQmZnZlt1rlbe3N1QqFS5evGjWk3ZT/ZNxKRQKhISEIC0tDQsXLkRVVZW4zZ+grq5OXNLRmHD9COf+yZMnKC8vR2BgoCRABoCLFy+iqqpKkubl5QWVSoULFy5Itnozh5+fH6qqqsTlAY2dOnVK0r+/S6lUwtvbGzdv3jRpeY2whV1BQQF+//33f9T2uXPnQESStKqqKly6dAkKhQLdunUzqR5z7yFh6cSxY8dMqvtlzwFjLxsHyYy95jw9PTFv3jw8efIEQ4cORUFBgUGZ6upqpKeni2tThadGv/76q2Qd8v379zF//vx/pd//VExMDGQyGdLT0yVrWuvq6sQxxMbGtlpPZGQkunbtivT0dJw+fdogv66uDmfPnm2zfgtkMhlmzpyJu3fvYu7cuUYD5evXrzf71LA15o7rzJkz4r/fGxOe+gnLIxr74IMPJP3Oy8vD1q1bYW9vj8jISAAQ95DOycmRfDNeaWkpkpKSDOqUyWSIj49HeXk5Zs+ebbB0pby83Og+3o1NnToVALBgwQJJ/4qKipCeng6ZTIa33367xTpMkZycjMrKSsyYMcPospiCggLJPsezZs3CixcvkJiYaPDhoLq6Wlwi05pbt24Z7MO8atUqPH78GNHR0bC2tjapHnPvoalTp8LOzg5paWlG1xM3fkr+b80BYy8TL7dg7P+AZcuWobq6GmvWrIGXlxfCwsLg4+MDKysrFBQU4Pjx4ygpKcGyZcsA/PeFuqioKHz33XcICAjAwIEDUVxcjEOHDiEsLAz5+fmveESte+ONN7BixQro9Xr4+vpi/PjxsLW1xaFDh5CXl4fIyEjJi2PNkcvl2Lt3L4YOHQqdToeBAweKLz0VFhbizJkz6Nix499+ga4lixcvRk5ODtavX4/Dhw9Dp9PByckJRUVFuHbtGq5cuYLMzMxm16C2xNxxpaWl4eeff0ZoaCg8PDzQvn175OTk4MSJE/D09MTo0aMl9bu4uKCsrAy9e/fGsGHDUF5ejt27d6O6uhpffPEFlEolAKBdu3ZITExEWloaevXqhREjRqCiogI//fQT3N3d4erqatD3JUuWICsrC7t27UJWVhaGDh0KuVyO/Px8HDlyBGfPnm3xKeTkyZOxb98+7N+/H76+vhg+fDieP3+OPXv2oKSkBGlpafDw8DD7nDYVHx+PrKws7NixA+fOnUN4eDhcXV1RXFyMvLw8ZGdn4+uvvxaXJsycOROnTp3Cnj17oNVqMXLkSKhUKhQWFuLo0aPYsmULRo0a1Wq7ERERSExMxOHDh9G9e3fk5OTg6NGjcHNzw3/+8x+T+2/uPaRWq7Fz505MnDgRffv2xciRI+Hl5YUnT54gOzsbGo0GP/zwA4B/bw4Ye6le6d4ajLE2deHCBYqLiyNPT09SKBQkl8tJo9FQdHS0wdZez549I71eTxqNhuRyOWm1Wlq6dCnV1taK+5s2ZmyrLYG7uzu5u7sbzTO1LmGbt23bthnUIWx9lZqaapC3f/9+0ul0pFQqSS6XU8+ePSktLU2yb60p7t+/T7NnzyatVktyuZxUKhV5e3vT9OnT6cSJE62OSdDSuTCmvr6eNm7cSEFBQaRSqUgul1PXrl1pyJAh9Pnnn0v2pDb3y0TMGdeRI0doypQp5OXlRUqlkuzs7KhHjx70/vvvG90n2d3dnUpKSmj69OmkVqtJLpdTQECA0X2Wa2tr6aOPPhL70LVrV5ozZw49e/as2fNVXV1Nq1evpt69e5NCoRD7o9frqbS0VCzX3HVZV1dHq1evpp49e5JcLielUkk6nc5o/5rT0nXX2Lfffkvh4eHUoUMHsrKyos6dO1NISAilpaXR48ePJWUbGhpo8+bNFBgYSLa2tmRjY0NarZYSEhIkexW3tAVcamoqnTp1ioKDg8nGxoYcHBxo4sSJkuMFplyP5t5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+ "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Definimos las constantes de hopping\n", + "tAA = 0 # eV\n", + "tBB = 15.8 # eV\n", + "tOO = 10.0 # eV\n", + "tAO = 19.7 # eV\n", + "tBO = 17.5 # eV\n", + "\n", + "# Definimos la base cartesiana\n", + "x = np.array([1,0,0])\n", + "y = np.array([0,1,0])\n", + "z = np.array([0,0,1])\n", + "\n", + "\n", + "# Definimos las componentes de la matriz hamiltoniana como función de k\n", + "def Hamiltoniano(k):\n", + " # El orden de los Ãndices 5x5 es: A, B, Oxz, Oxy, Oyz\n", + " H = np.zeros((5,5),dtype=complex)\n", + " H[0,0] = -2*tAA\n", + " H[1,1] = -2*tBB\n", + " H[2,2] = -2*tOO\n", + " H[3,3] = -2*tOO\n", + " H[4,4] = -2*tOO\n", + " H[0,2] = -tAO*(1+np.exp(-1j*a*np.dot(k, x))+np.exp(-1j*a*np.dot(k, z)) + np.exp(-1j*a*np.dot(k, x+z)))\n", + " H[0,3] = -tAO*(1+np.exp(-1j*a*np.dot(k, x))+np.exp(-1j*a*np.dot(k, y)) + np.exp(-1j*a*np.dot(k, x+y)))\n", + " H[0,4] = -tAO*(1+np.exp(-1j*a*np.dot(k, z))+np.exp(-1j*a*np.dot(k, y)) + np.exp(-1j*a*np.dot(k, z+y)))\n", + " H[1,2] = -tBO*(1+np.exp(-1j*a*np.dot(k, y)))\n", + " H[1,3] = -tBO*(1+np.exp(-1j*a*np.dot(k, z)))\n", + " H[1,4] = -tBO*(1+np.exp(-1j*a*np.dot(k, x)))\n", + " H[2,0] = -tAO*(1+np.exp(1j*a*np.dot(k, x))+np.exp(1j*a*np.dot(k, z)) + np.exp(1j*a*np.dot(k, x+z)))\n", + " H[3,0] = -tAO*(1+np.exp(1j*a*np.dot(k, x))+np.exp(1j*a*np.dot(k, y)) + np.exp(1j*a*np.dot(k, x+y)))\n", + " H[4,0] = -tAO*(1+np.exp(1j*a*np.dot(k, z))+np.exp(1j*a*np.dot(k, y)) + np.exp(1j*a*np.dot(k, z+y)))\n", + " H[2,1] = -tBO*(1+np.exp(1j*a*np.dot(k, y)))\n", + " H[3,1] = -tBO*(1+np.exp(1j*a*np.dot(k, z)))\n", + " H[4,1] = -tBO*(1+np.exp(1j*a*np.dot(k, x)))\n", + " return H\n", + "\n", + "# Obtenemos las bandas de energÃa\n", + "bands_TB = np.array([np.linalg.eigvalsh(Hamiltoniano(k)) for k in k_path]).T\n", + "\n", + "# Quitamos algunas bandas para mejorar la visualización\n", + "# bands_full = np.delete(bands_full, [18,17,13], axis=0) # eliminamos las bandas 19, 18 y 14\n", + "\n", + "# Graficamos las bandas de energÃa\n", + "color = 'darkorchid'\n", + "n_graf = len(bands_TB) # número de bandas a graficar\n", + "for i in range(n_graf):\n", + " plt.plot(np.arange(400), bands_TB[i], '.', markersize=3, color = color)\n", + "plt.xticks([0,100,200,300,400],['$\\\\Gamma$','X','M','$\\\\Gamma$','R'])\n", + "plt.xlabel('Camino en el espacio recÃproco')\n", + "plt.ylabel('EnergÃa (eV)')\n", + "# plt.ylim(0,400)\n", + "plt.title('Bandas de energÃa mediante Tight Binding')\n", + "plt.grid()\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-179.06647307, -33.01113561, -20. , -20. ,\n", + " 120.27760868])" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bands_TB.T[0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { + "kernelspec": { + "display_name": "SimpleLabs", + "language": "python", + "name": "python3" + }, "language_info": { - "name": "python" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.1" } }, "nbformat": 4,