svd-aplicaciones.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Paquetes para trabajar con imágenes\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from skimage import color\n",
    "from skimage import io"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aplicaciones de SVD\n",
    "Clase práctica 24/06/2022"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A. Compresión de una imagen geométrica\n",
    "\n",
    "1. Graficar la matriz A en blanco y negro, tomando 1 para blanco y 0 para negro."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(25, 15)\n"
     ]
    }
   ],
   "source": [
    "A = np.array([\n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], \n",
    "    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1],\n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \n",
    "    [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
    "])\n",
    "print(np.shape(A))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275b1d5588>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(A, cmap = \"gray\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. ¿Cuántas columnas distintas hay en el dibujo? ¿Cuántas filas distintas hay en $A$?\n",
    "\n",
    "A partir de esa respuesta: \n",
    "- ¿Cuál es el máximo rango posible de $A$?\n",
    "- ¿Cuántos valores singulares no nulos puede tener como máximo $A$?\n",
    "\n",
    "\n",
    "3. ¿Cómo podríamos guardar en forma mas compacta esta matriz? (por ejemplo, sin guardar columnas repetidas)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Valores singulares\n",
    "Vamos a utilizar valores singulares para automatizar el proceso."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tamaño de U =  (25, 25)\n",
      "Tamaño de S =  (15,)\n",
      "Tamaño de Vh =  (15, 15)\n"
     ]
    }
   ],
   "source": [
    "# Calculamos la descomposición en valores singulares\n",
    "[U, S, Vh] = np.linalg.svd(A)\n",
    "print(\"Tamaño de U = \", np.shape(U))\n",
    "print(\"Tamaño de S = \", np.shape(S))\n",
    "print(\"Tamaño de Vh = \", np.shape(Vh))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2275b235748>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos los valores singulares\n",
    "plt.plot(S, '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.47242531e+01 5.21662293e+00 3.31409370e+00 1.51448821e-16\n",
      " 1.48952049e-16 1.02144979e-32 2.71957431e-33 0.00000000e+00\n",
      " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n",
      " 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n"
     ]
    }
   ],
   "source": [
    "# Observamos que hay 3 valores singulares no nulos. Lo verificamos.\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Para evitar los errores numéricos, definimos una función que elimine de $\\Sigma$ los valores singulares pequeños, dejando solo los primeros $k$ valores."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Función para eliminar de S los valores singulares a partir del k+1\n",
    "# Toma como parámetro también A para saber el tamaño de Sigma.\n",
    "def truncateSigma(A, S, k):\n",
    "    [nRow, nCol] = np.shape(A)\n",
    "    Sigma = np.zeros((nRow, nCol))\n",
    "    Sigma[:k, :k] = np.diag(S[:k])\n",
    "    return(Sigma)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275b94f188>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKQAAAD4CAYAAABi+U3NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAIGElEQVR4nO3dQYiU9x3G8eepaS5pDpGNEox0Q5FSL7VlkYJQDCHB9KI9BOKh7EGwhwgt9CK9pEcvbU+hkFLJHpqEQCt6kCSyFEKhlGyKNIoNimyTreIqOTS3YPrrYV/Luu5mZ+ad3ffZvt8PyPvOu7M7P+TLOzPvwPxdVQJSfKXrAYDlCBJRCBJRCBJRCBJRHtrMB5uYmKjJycnNfEgEmp+f1507d7zazzY1yMnJSc3NzW3mQyLQ1NTUmj9r9ZRt+5Dtj2xfs32yzd8CpBZB2t4m6RVJz0vaK+mo7b3jGgz91OYMuV/Staq6XlWfS3pT0uHxjIW+ahPkLkmfLLu90By7j+3jtudsz92+fbvFw6EP2gS52rukBz4Yr6pXq2qqqqYef/zxFg+HPmgT5IKk3ctuPynpRrtx0Hdtgnxf0h7bT9l+WNKLks6NZyz01cjXIavqru0Tkt6RtE3S6aq6PLbJ0EutLoxX1XlJ58c0C8Bn2chCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIhCkIiyqUvLjYO96hJ52ERVDyy2MTatgrQ9L+kzSV9IultVay9iBwxgHGfIp6vqzhj+DsBrSGRpG2RJetf2B7aPr3YHlpbDMNoGeaCqvqulFWFfsv39lXdgaTkMo1WQVXWj2S5KOqOlFWKBkbVZL/sR24/e25f0nKRL4xoM/dTmXfZOSWea64IPSXq9qt4ey1TorTZrHV6X9O0xzgJw2QdZCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRCBJRttw3V2ymjfyGhnH7f/lGD86QiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiEKQiLJukLZP2160fWnZse22L9i+2mwf29gx0ReDnCFfk3RoxbGTkmarao+k2eY20Nq6QVbVe5I+XXH4sKSZZn9G0pExz4WeGvU15M6quilJzXbHWndkrUMMY8Pf1LDWIYYxapC3bD8hSc12cXwjoc9GDfKcpOlmf1rS2fGMg74b5LLPG5L+IumbthdsH5N0StKztq9Kera5DbS27lepVNXRNX70zJhnAfikBlkIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElEIElFGXVruF7b/Zfti8+8HGzsm+mLUpeUk6ddVta/5d368Y6GvRl1aDtgQbV5DnrD99+Ypfc3VYFlaDsMYNcjfSPqGpH2Sbkr65Vp3ZGk5DGOkIKvqVlV9UVX/kfRbSfvHOxb6aqQg761z2PihpEtr3RcYxroreTVLyx2UNGF7QdLLkg7a3iepJM1L+vEGzogeGXVpud9twCwAn9QgC0EiCkEiCkEiCkEiCkEiCkEiyrrXIfvMdtcj9A5nSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSETZct9cUVVdj4ANxBkSUQZZ63C37T/ZvmL7su2fNMe3275g+2qzXXPxJGBQg5wh70r6WVV9S9L3JL1ke6+kk5Jmq2qPpNnmNtDKIGsd3qyqvzX7n0m6ImmXpMOSZpq7zUg6slFDoj+Geg1pe1LSdyT9VdLOqropLUUraccav8NahxjYwEHa/pqkP0j6aVX9e9DfY61DDGOgIG1/VUsx/r6q/tgcvnVviblmu7gxI6JPBnmXbS2t3HWlqn617EfnJE03+9OSzo5/PPTNIBfGD0j6kaQPbV9sjv1c0ilJb9k+JuljSS9szIjok0HWOvyzpLW+bPuZ8Y6DvuOTGkQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSEQhSETxZq4daPu2pH8uOzQh6c6mDdDeVpo3edavV9WqS3JsapAPPLg9V1VTnQ0wpK0071aadTmeshGFIBGl6yBf7fjxh7WV5t1Ks/5Pp68hgZW6PkMC9yFIROksSNuHbH9k+5rt6MXfbc/b/tD2RdtzXc+zku3TthdtX1p2bLvtC7avNtvHupxxUJ0EaXubpFckPS9pr6Sjtvd2McsQnq6qfaHX9l6TdGjFsZOSZqtqj6TZ5na8rs6Q+yVdq6rrVfW5pDclHe5oli2vqt6T9OmKw4clzTT7M5KObOpQI+oqyF2SPll2e6E5lqokvWv7A9vHux5mQDur6qYkNdsdHc8zkEGWJ94Iq60um3z96UBV3bC9Q9IF2/9ozkoYs67OkAuSdi+7/aSkGx3Nsq6qutFsFyWd0dJLjnS3bD8hSc12seN5BtJVkO9L2mP7KdsPS3pR0rmOZvlSth+x/ei9fUnPSbr05b8V4Zyk6WZ/WtLZDmcZWCdP2VV11/YJSe9I2ibpdFVd7mKWAeyUdMa2tPT/9XpVvd3tSPez/Yakg5ImbC9IelnSKUlv2T4m6WNJL3Q34eD46BBR+KQGUQgSUQgSUQgSUQgSUQgSUQgSUf4LgdTSk1vERTkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Aplicamos la función para construir la matriz Sigma con 3 valores singulares no nulos\n",
    "k = 3\n",
    "S_trunc = truncateSigma(A, S, 3)\n",
    "A_3 = U @ S_trunc @ Vh\n",
    "plt.imshow(A_3, cmap='gray')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Descomposición SVD reducida. \n",
    "\n",
    "Cuando $\\Sigma$ tiene solo $k$ valores no nulos en la diagonal, podemos quedarnos con las primeras $k$ columnas de $U$ y las primeras $k$ columnas de $V$ (es decir, las primeras $k$ filas de $V$).\n",
    "\n",
    "Obtenemos una descomposición que utiliza menos datos\n",
    "$$\n",
    "A = \\tilde U \\tilde \\Sigma \\tilde V^{*}\n",
    "$$\n",
    "con $\\tilde U \\in \\mathbb{K}^{m \\times k}$, $\\tilde \\Sigma \\in \\mathbb{K}^{k \\times k}$, $\\tilde V^{*} \\in \\mathbb{K}^{k \\times n}$.\n",
    "\n",
    "#### Ejercicio.\n",
    "Demostrarlo, recordando la propiedad para $A$ de $m \\times p$ y $B$ de $p \\times n$,\n",
    "$$A B = \\sum_{i = 1}^p A_i B_i,$$\n",
    "donde $A_i$ son las columnas de $A$ y $B_i$ son las filas de $B$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275b9ad2c8>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Podemos construir A utilizando solo las primeras 3 columnas de U y 3 columnas de V (3 filas de Vh)\n",
    "# y tomando solo la submatriz de 3x3 de S\n",
    "\n",
    "k = 3\n",
    "A_zip = U[:,:k] @ S_trunc[:k,:k] @ Vh[:k,]\n",
    "plt.imshow(A_zip, cmap='gray')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observación: este método funciona para cualquier matriz de rango 3, no solo para matrices con columnas repetidas.\n",
    "\n",
    "*Ejercicio:*\n",
    "¿Cuántos datos se requerían para guardar la matriz original? ¿Cuántos datos se requieren para guardar la descomposición SVD reducida?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compresión de la imagen de un árbol\n",
    "\n",
    "Aplicando la misma estrategia, pero convirtiendo también a 0 los autovalores pequeños obtenemos una forma de comprimir imágenes, perdiendo un poco de calidad en este caso."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1082, 2000, 3)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275ba89448>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Leemos el archivo\n",
    "img = io.imread('tree2.jpg')\n",
    "print(img.shape)\n",
    "\n",
    "plt.imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1082, 2000)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275c13b788>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lo convertimos a tonos de gris para simplificar la aplicación\n",
    "imgGray = color.rgb2gray(img)\n",
    "print(imgGray.shape)\n",
    "\n",
    "plt.imshow(imgGray, cmap='gray')\n",
    "\n",
    "# Grabamos la imagen\n",
    "#plt.savefig('test2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2275c19bb08>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculamos la descomposición SVD de A y graficamos los valores singulares\n",
    "A = imgGray\n",
    "[U, S, Vh] = np.linalg.svd(A)\n",
    "plt.plot(S, '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos los logaritmos para ver mejor los saltos\n",
    "plt.plot(np.log(S), '*')\n",
    "plt.savefig('logS')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "900 -4.020708469044395 0.017940250324075643\n",
      "901 -4.039868295362877 0.017599790236972737\n",
      "902 -4.046576132440238 0.017482128779592463\n",
      "903 -4.057869756019104 0.017285802899800598\n",
      "904 -4.062950905717315 0.017198193913291866\n",
      "905 -4.073513301727118 0.017017495761197383\n",
      "906 -4.083409780864237 0.016849913076458282\n",
      "907 -4.0869112975325805 0.016791015999685147\n",
      "908 -4.092347300641518 0.016699987623933675\n",
      "909 -4.122400469831041 0.0162055667402058\n",
      "910 -4.127450197800019 0.016123939308204382\n",
      "911 -4.143163200367027 0.01587256391158548\n",
      "912 -4.157418076329315 0.01564790751058426\n",
      "913 -4.158617449387903 0.015629151082118688\n",
      "914 -4.1860633709485136 0.015206027693608732\n",
      "915 -4.204448974865939 0.014929010062817391\n",
      "916 -4.215633210843123 0.014762970733666824\n",
      "917 -4.219384516448559 0.014707694063464569\n",
      "918 -4.233283771214225 0.014504682201753336\n",
      "919 -4.263145534019271 0.014077950020048288\n",
      "920 -4.268600288810822 0.014001367314550053\n",
      "921 -4.274247564836852 0.013922520572786645\n",
      "922 -4.2903949391782215 0.01369951375411598\n",
      "923 -4.314748828475577 0.013369907204402537\n",
      "924 -4.32712413088062 0.013205470137432677\n",
      "925 -4.332158551393256 0.013139155316106687\n",
      "926 -4.34448616651203 0.01297817515578871\n",
      "927 -4.366427463776185 0.012696518413425341\n",
      "928 -4.387570295107151 0.012430895966209402\n",
      "929 -4.393590038079451 0.012356289947399424\n",
      "930 -4.397963436765049 0.012302368960115873\n",
      "931 -4.426091951851258 0.011961143174787043\n",
      "932 -4.434421590253305 0.011861924976791718\n",
      "933 -4.440329932565597 0.011792047297447887\n",
      "934 -4.4666499583377375 0.01148572914266522\n",
      "935 -4.493377916149225 0.01118280535919536\n",
      "936 -4.516350446893407 0.01092883634375849\n",
      "937 -4.529452563209549 0.010786579427160502\n",
      "938 -4.541488316476066 0.010657532962087511\n",
      "939 -4.549347494604249 0.010574101791784347\n",
      "940 -4.555765303292399 0.010506456528796351\n",
      "941 -4.5862226482553625 0.01019128181439877\n",
      "942 -4.598583557437918 0.01006608368091888\n",
      "943 -4.615391048884628 0.009898311926209158\n",
      "944 -4.6220117710553 0.009832994416124253\n",
      "945 -4.640224901317709 0.009655525842843076\n",
      "946 -4.666730990699707 0.009402957695880527\n",
      "947 -4.6905109088063215 0.009181993796172641\n",
      "948 -4.721658813716777 0.008900402186979715\n",
      "949 -4.740833319722535 0.008731367132569081\n",
      "950 -4.790269789302451 0.008310215072333565\n",
      "951 -4.815885957138537 0.008100042607450236\n",
      "952 -4.823878554916727 0.008035560258909894\n",
      "953 -4.836263072850685 0.007936657414905998\n",
      "954 -4.853077262020787 0.007804324607891442\n",
      "955 -4.878135784539317 0.0076111897077384685\n",
      "956 -4.913044787256894 0.007350074812359398\n",
      "957 -4.9169362827290435 0.0073215276111851324\n",
      "958 -4.951101413771571 0.00707561145981626\n",
      "959 -4.997301029858665 0.006756157080028077\n",
      "960 -5.013388154223284 0.006648339503452207\n",
      "961 -5.069812500521138 0.006283598201742967\n",
      "962 -5.095614493975628 0.006123542598443116\n",
      "963 -5.129065510117189 0.005922092023771803\n",
      "964 -5.153272394756801 0.005780457803036381\n",
      "965 -5.18876606305687 0.005578886563691456\n",
      "966 -5.238553611667439 0.0053079286123639165\n",
      "967 -5.258753897307365 0.005201782637141842\n",
      "968 -5.305885850862137 0.00496230042271777\n",
      "969 -5.312304617235871 0.00493055058204211\n",
      "970 -5.354111329423127 0.004728669860632523\n",
      "971 -5.37585070140612 0.0046269808796614\n",
      "972 -5.4293413780011655 0.004385983556852238\n",
      "973 -5.55833820080994 0.0038551776084011467\n",
      "974 -5.609143887798436 0.0036642049859121873\n",
      "975 -5.632535300956823 0.0035794887323645852\n",
      "976 -5.6607232126573495 0.003479999208433739\n",
      "977 -5.792005878184366 0.0030518543845440872\n",
      "978 -5.840235341475853 0.0029081581350436955\n",
      "979 -5.936015789929894 0.0026425371281521204\n",
      "980 -6.123600228415886 0.002190555250132725\n",
      "981 -6.2193755404673965 0.0019904878083373107\n",
      "982 -6.478230190013147 0.001536527636322311\n",
      "983 -6.976347841418014 0.0009337070299064062\n",
      "984 -7.373103087787905 0.0006279166722574943\n",
      "985 -7.536422040652251 0.0005333023463680867\n",
      "986 -8.143600469048646 0.00029058905556480396\n",
      "987 -28.31529292462744 5.044574373775137e-13\n",
      "988 -29.72989598053502 1.225942858542647e-13\n",
      "989 -29.831523439154473 1.1074751333944622e-13\n",
      "990 -29.831523439154473 1.1074751333944622e-13\n",
      "991 -29.831523439154473 1.1074751333944622e-13\n",
      "992 -29.831523439154473 1.1074751333944622e-13\n",
      "993 -29.831523439154473 1.1074751333944622e-13\n",
      "994 -29.831523439154473 1.1074751333944622e-13\n",
      "995 -29.831523439154473 1.1074751333944622e-13\n",
      "996 -29.831523439154473 1.1074751333944622e-13\n",
      "997 -29.831523439154473 1.1074751333944622e-13\n",
      "998 -29.831523439154473 1.1074751333944622e-13\n",
      "999 -29.831523439154473 1.1074751333944622e-13\n",
      "1000 -29.831523439154473 1.1074751333944622e-13\n",
      "1001 -29.831523439154473 1.1074751333944622e-13\n",
      "1002 -29.831523439154473 1.1074751333944622e-13\n",
      "1003 -29.831523439154473 1.1074751333944622e-13\n",
      "1004 -29.831523439154473 1.1074751333944622e-13\n",
      "1005 -29.831523439154473 1.1074751333944622e-13\n",
      "1006 -29.831523439154473 1.1074751333944622e-13\n",
      "1007 -29.831523439154473 1.1074751333944622e-13\n",
      "1008 -29.831523439154473 1.1074751333944622e-13\n",
      "1009 -29.831523439154473 1.1074751333944622e-13\n",
      "1010 -29.831523439154473 1.1074751333944622e-13\n",
      "1011 -29.831523439154473 1.1074751333944622e-13\n",
      "1012 -29.831523439154473 1.1074751333944622e-13\n",
      "1013 -29.831523439154473 1.1074751333944622e-13\n",
      "1014 -29.831523439154473 1.1074751333944622e-13\n",
      "1015 -29.831523439154473 1.1074751333944622e-13\n",
      "1016 -29.831523439154473 1.1074751333944622e-13\n",
      "1017 -29.831523439154473 1.1074751333944622e-13\n",
      "1018 -29.831523439154473 1.1074751333944622e-13\n",
      "1019 -29.831523439154473 1.1074751333944622e-13\n",
      "1020 -29.831523439154473 1.1074751333944622e-13\n",
      "1021 -29.831523439154473 1.1074751333944622e-13\n",
      "1022 -29.831523439154473 1.1074751333944622e-13\n",
      "1023 -29.831523439154473 1.1074751333944622e-13\n",
      "1024 -29.831523439154473 1.1074751333944622e-13\n",
      "1025 -29.831523439154473 1.1074751333944622e-13\n",
      "1026 -29.831523439154473 1.1074751333944622e-13\n",
      "1027 -29.831523439154473 1.1074751333944622e-13\n",
      "1028 -29.831523439154473 1.1074751333944622e-13\n",
      "1029 -29.831523439154473 1.1074751333944622e-13\n",
      "1030 -29.831523439154473 1.1074751333944622e-13\n",
      "1031 -29.831523439154473 1.1074751333944622e-13\n",
      "1032 -29.831523439154473 1.1074751333944622e-13\n",
      "1033 -29.831523439154473 1.1074751333944622e-13\n",
      "1034 -29.831523439154473 1.1074751333944622e-13\n",
      "1035 -29.831523439154473 1.1074751333944622e-13\n",
      "1036 -29.831523439154473 1.1074751333944622e-13\n",
      "1037 -29.831523439154473 1.1074751333944622e-13\n",
      "1038 -29.831523439154473 1.1074751333944622e-13\n",
      "1039 -29.831523439154473 1.1074751333944622e-13\n",
      "1040 -29.831523439154473 1.1074751333944622e-13\n",
      "1041 -29.831523439154473 1.1074751333944622e-13\n",
      "1042 -29.831523439154473 1.1074751333944622e-13\n",
      "1043 -29.831523439154473 1.1074751333944622e-13\n",
      "1044 -29.831523439154473 1.1074751333944622e-13\n",
      "1045 -29.831523439154473 1.1074751333944622e-13\n",
      "1046 -29.831523439154473 1.1074751333944622e-13\n",
      "1047 -29.831523439154473 1.1074751333944622e-13\n",
      "1048 -29.831523439154473 1.1074751333944622e-13\n",
      "1049 -29.831523439154473 1.1074751333944622e-13\n",
      "1050 -29.831523439154473 1.1074751333944622e-13\n",
      "1051 -29.831523439154473 1.1074751333944622e-13\n",
      "1052 -29.831523439154473 1.1074751333944622e-13\n",
      "1053 -29.831523439154473 1.1074751333944622e-13\n",
      "1054 -29.831523439154473 1.1074751333944622e-13\n",
      "1055 -29.831523439154473 1.1074751333944622e-13\n",
      "1056 -29.831523439154473 1.1074751333944622e-13\n",
      "1057 -29.831523439154473 1.1074751333944622e-13\n",
      "1058 -29.831523439154473 1.1074751333944622e-13\n",
      "1059 -29.831523439154473 1.1074751333944622e-13\n",
      "1060 -29.831523439154473 1.1074751333944622e-13\n",
      "1061 -29.831523439154473 1.1074751333944622e-13\n",
      "1062 -29.831523439154473 1.1074751333944622e-13\n",
      "1063 -29.831523439154473 1.1074751333944622e-13\n",
      "1064 -29.831523439154473 1.1074751333944622e-13\n",
      "1065 -29.831523439154473 1.1074751333944622e-13\n",
      "1066 -29.831523439154473 1.1074751333944622e-13\n",
      "1067 -29.831523439154473 1.1074751333944622e-13\n",
      "1068 -29.831523439154473 1.1074751333944622e-13\n",
      "1069 -29.831523439154473 1.1074751333944622e-13\n",
      "1070 -29.831523439154473 1.1074751333944622e-13\n",
      "1071 -29.831523439154473 1.1074751333944622e-13\n",
      "1072 -29.831523439154473 1.1074751333944622e-13\n",
      "1073 -29.831523439154473 1.1074751333944622e-13\n",
      "1074 -29.831523439154473 1.1074751333944622e-13\n",
      "1075 -29.831523439154473 1.1074751333944622e-13\n",
      "1076 -29.831523439154473 1.1074751333944622e-13\n",
      "1077 -29.831523439154473 1.1074751333944622e-13\n",
      "1078 -29.831523439154473 1.1074751333944622e-13\n",
      "1079 -29.831523439154473 1.1074751333944622e-13\n",
      "1080 -29.831523439154473 1.1074751333944622e-13\n",
      "1081 -29.831523439154473 1.1074751333944622e-13\n"
     ]
    }
   ],
   "source": [
    "# Imprimimos los valores singulares a partir del 900\n",
    "for i in range(900,1082):\n",
    "    print(i, np.log(S[i]), S[i])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vemos que podemos eliminar todos los valores singular a partir de i = 987 sin perder mucha información.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def truncateSigma(A, S, k):\n",
    "    [nRow, nCol] = np.shape(A)\n",
    "    Sigma = np.zeros((nRow, nCol))\n",
    "    Sigma[:k, :k] = np.diag(S[:k])\n",
    "    return(Sigma)\n",
    "\n",
    "S_trunc = truncateSigma(A, S, 987)    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2275c275cc8>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Reconstruimos la imagen utilizando la nueva S\n",
    "A_trunc = U @ S_trunc @ Vh\n",
    "plt.imshow(A_trunc, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0419413394340537e-11"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comparamos con la version original\n",
    "plt.imshow(imgGray, cmap='gray')\n",
    "np.linalg.norm(A_trunc-A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x22760f79208>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ¿Cómo guardamos los datos para no guardar información de más?\n",
    "\n",
    "# Podemos construir A utilizando solo las primeras k columnas de U y k columnas de V (k filas de Vh)\n",
    "# y tomando solo la submatriz de 987x987 de Sigma\n",
    "\n",
    "k = 987\n",
    "A_zip = U[:,:k] @ S_trunc[:k,:k] @ Vh[:k,]\n",
    "plt.imshow(A_zip, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# A_zip y A_trunc son exactamente la misma matriz\n",
    "np.linalg.norm(A_zip-A_trunc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ejercicio\n",
    "¿Cuántos datos se requerían para guardar la matriz original? ¿Cuántos datos se requieren para guardar la descomposición SVD reducida? \n",
    "\n",
    "¿Hemos realizado una buena compresión de la imagen?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distancia entre matrices:  21.14697673701067\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Probamos eliminar más valores singulares\n",
    "k = 200\n",
    "A_zip = U[:,:k] @ S_trunc[:k,:k] @ Vh[:k,]\n",
    "plt.imshow(A_zip, cmap='gray')\n",
    "print(\"Distancia entre matrices: \", np.linalg.norm(A_zip-A))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.99995366, 0.99995366, 0.99995366, 0.99995366, 0.99995366],\n",
       "       [0.99995366, 0.99995366, 0.99995366, 0.99995366, 0.99995366],\n",
       "       [0.99995366, 0.99995366, 0.99995366, 0.99995366, 0.99995366],\n",
       "       [0.99995366, 0.99995366, 0.99995366, 0.99995366, 0.99995366],\n",
       "       [0.99995366, 0.99995366, 0.99995366, 0.99995366, 0.99995366]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# El color blanco se volvió gris...\n",
    "A_zip[0:5,0:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min =  -0.05719658404313147\n",
      "max =  1.0856857172437255\n"
     ]
    }
   ],
   "source": [
    "# Comprobamos si nos mantenemos en el rango [0, 1]\n",
    "print(\"min = \", np.min(A_zip))\n",
    "print(\"max = \", np.max(A_zip))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La función imshow con `cmap = gray` toma el mínimo de los valores como negro y el máximo como blanco. Pero nosotros queremos que siga utilizando la misma escala de colores que antes. Forzamos a que todos los valores estén entre 0 y 1. Es decir tomamos todos los negativos como negro, y los mayores que 1 como blanco."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convertimos los valores mayores que 1 a 1 y los menores que 0 a 0.\n",
    "A_zip = np.minimum(np.ones(A.shape), A_zip)\n",
    "A_zip = np.maximum(np.zeros(A.shape), A_zip)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2276104d208>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HocIU+nNVRREK+0Hv+37t2Oj3jRKrYD2GKrw74Q29170EdFQO5y8UCpIRUQ4HffXVV9m1axelUon6+npsNhvPPvssRqOREydOcPr0aRobG4lGozz22GOk02muXbuG1Wpl7969vPbaaxw5coRz586xurrK2toaTqeTUChEPp+nqamJYrFIMpmks7OTU6dOUSwWaWhooLW1lVQqRV1dHdPT0zQ1NQF3jMsf/MEf3NVfqgj8WDXwZrOZaDRKTU2N7L9XXnmF6elpBgcHaW9vJx6PMzU1xa5du7h9+zaRSIRCocDi4iKNjY04nU4effRRTCYTv/jFL+jt7cXlcuFwOLh27Rp+v18GJS9cuIDb7ZbGPhAI0NLSwsDAAKlUisbGRlpbW2ltbWVkZITt27dTXV3N5OQkX/3qV2lpaSGfz3P9+nUOHDhQNqirvjPVARDfiRiIGlRVfxfXUAO5Ql+y2aycyMVY0K8QxLhQIbaqqqq78lbEfcvRMMW72ihpTOijiBOJ78qN2w+SzPVREoPBcFXTtAPlfqsEcj+gvJfhFQHZcnimCm+oeKFeWdQgqBqUVJelwgvK5XJ3JXMJxdZfV82GVT1xQFLixOBIJpO4XC456IQHpD5LPp+/C/8WgyGZTEpevsFgkIFakaAlJgij0ciuXbsYGRlhdXWVpaUljh49yuLiIvF4XEIdDQ0N5PN5xsfHcTgcRKNRbt68yZkzZ6iqqqK9vV3i0XV1dSwuLmKz2WTCUzqdpr6+ntOnT7OwsIDL5eL27dvMzs7i8Xik9xkOh7Hb7fj9ftbW1ujv76ejowOPx7Mu2AfvepkGg4G+vj4WFxepra0lGAxiMBh45JFHeOmll7BYLJjNZtra2piZmWF+fh6TycTLL78sz+/u7sbr9bK2tobL5SIYDFIoFNiyZQsNDQ1ks1kKhQI1NTXy3oKDn0wmqampIRwOk8lkWFpawuPx0NjYiM/nw2g0cvHiRVKpFKFQCLjjqe/YsYOWlhZMJhNvvvkm4XCYJ598UjLEBJRmtVpJp9O4XK51q1HxLkVMRgRu9ROG0EehK2qOhN1ulzCOOlbUGJOKxau4vZ44ISYDFVIU5+pZYgLuFJOECGargV617epYUqEiMabeK/v4oywVo/8BRc/GUUVPPSzn2aoDR01SUg2hoLCpBl/FUMUA0mOn4js9G0M18vpMUrXdVVVVZLNZmbovBoJ4FtWjF3CCSJhRE29cLpe8j8oystlsMvFldXWVcDhMOBymWCzi9XpZXl7mzTffJJ/P09LSwuXLl3G73Zw9e5aGhgZ+/vOf09XVxdWrV6murqatrQ2r1cqrr77K6uoqpVKJZDIp+d81NTVMT09jt9uJx+N0dHSwsrJCJpPBZrORTqc5cOAAIyMjjI2NsWnTJjo7O7l+/ToGg4GlpSV+8Ytf8Kd/+qecOXOGxx9//C5diEQiBINBotEokUhEJlGZzWaCwSClUomenh7C4bB8V263m9HRUVwuF06nk46ODoaGhjh69Chut1tm1BYKBdbW1lhdXWVhYYHu7m6pLx0dHVy6dIlcLsfS0hK5XI5EIkEsFqO1tZWlpSVu3LiB3+9nfn4es9nMZz/7WSwWCx0dHczNzTE3N0dTUxMdHR243W6GhoZwuVwMDAzwmc98hueee44vfOELUh9UPVYZVyKBT0wSwghbLJZ13rjQMVX0cRw9O0ifqV3OWxfxJSF61pqaVKgaaXEtdcUtnk+fFKg6TeIYPdng4yYf35bfY9Eben0AFtbj6XocHtbz5MU1c7mcVCC9IgopRx9U76fS2NQlsYgHCIOrHq/irSolTrRDiJh4RPBMrFhUCqk+qUd/nWKxyJtvvsnKygqlUolLly4Ri8VkvZjZ2Vmi0Sj5fJ7Tp0+jaRoejwe3283g4CC5XI5bt25RU1ODy+UilUqRTCaZmJigra2NzZs3Y7PZmJubY2BggLfeeotoNMro6CjNzc1MTk6SSqUoFovMzc1RKBQ4d+4cw8PDdHd3SwNaV1dHLBYjGo1iNBr53ve+x6OPPiq90nPnzsmJNZ1O09TURCKRwG63U19fTzabZWxsjK6uLgqFAufPn5erhfr6ei5evEgul6OqqoqqqioaGhr4vd/7PRKJhGT5aJpGY2MjNTU11NbW8sADDzA7OyvjGz6fj/b2dvbt28fMzAw1NTXEYjFSqRThcJhEIiGpnTt37uS+++6jubmZzs5OrFYrdXV1/OxnP+P5559nYWGBRCLB2bNnuXHjBvF4nF/84heMjIwwNTUFwJtvvinfodBpoZNC51Sappo9Ww62VHV7bW1NxoL0jozqWevpznBnVSn0W9VjdWyIMhHqmBF6qba3WCzK+II+C1xNAlNJBh9lWPz9pILp/wqixx8Fg0Gv3HoO8EbXUpNT9Dx7PYaoh5TU1HMVjxfnCMy1XLvU/5fDX9U2CEhJz0/P5/PY7fZ191SPEVDRxYsXGR8f5/Of/zw/+9nP2Lt3L6+88op8VuHBTk5OSq/R5/PJYGdrayvxeFwydXK5HHV1dVy8eJGlpSWOHTtGOp2WGaRicopGo/j9fsnyWVhYwO/309LSQlVVlfwcDodZWFiQXnokEqG5uZlisUhNTQ3f+ta3OHv2LC0tLbz00kvY7Xa+8Y1v8NZbb7G0tMTMzIxMOLt9+zadnZ0Eg0GZqaxpGhMTE2SzWen97tq1i+PHj3Px4kV2797N2toag4ODHDx4kGg0SqlUIh6PU11dzeLioqyrY7Vaeemll3A4HFRVVdHd3U0qlSKbzdLc3ExbWxvpdJorV66QSqWora3l4MGDckUmDLeoA+T1eunv72fr1q1EIhH8fj8ejwer1cpXv/pVxsfHAejq6pKwnZj0VSqw3lsup+vC2xbed6FQwGazrdNroXfCEVKhR71+iWdRy26UG2tCP/V/1d/E+UIfy9WD2mgclRubHwV5L0y/YvQ/hKgGsxyUI44pxyF/r+uVUzaBtYpBI7jcAmZR2QZiIL5fIFf10jcSkTxVTqH1QTT9IFChqHA4zI0bN5idnQXusE62bdvG8PAwNTU1hEIh2traGB8fJx6Pk0gkaGtro6Ojg3w+L2vWeDwegsEgtbW1WCwWJicnaWhowGw2c/78eQkndXd3E4vFsNvtbNmyRfLZ4/E4dXV1rKys4PV6aWhooKqqihs3bmAymchms+TzeVmqIBAI8PjjjzM2NsbmzZuJRCKEw2GsVisul4t0Ok2hUCCZTNLW1iahlFgsxmc/+1mGhobo7++X2bfz8/OcOHECs9ksyyT4fD5WVlZwu91MTU2xd+9empubOXPmDB6PB4vFQjweJ5/P4/V6CYVCmM1mbt68yRNPPEE2myWXy7Fz504mJibIZDLMzc2xZcsWyQaampqiqalJlnRoamqSlT29Xq+cNBobG2V/19fX09PTw8LCAl6vl66uLnbu3CmLvgnGjlqUTx//ER6xcA7KibqCFVi6HgaC9Qwa8Z4FxKLCMWIFWw4Ggne9fRGIVtul6rtKTNhIxz+Khl6V9zL6FXjnQ4hQAhGgLacARqNRMhTgXcUTtVpUKEhMEOIaKldZTXcX3rGK7avXUYNiYtmsZ2ao9VRUUelzmnYneUpAQ/oltMqXVq8tRLSvWCzS399Pa2srO3bsQNM0lpaWZHbp4OAgXV1d3L59m1QqRTqdxmKxEAwGmZycJBQKkUgkJMfd4/EwODjI9PQ0y8vLLCwscPPmTaxWK9FolGw2y9zcHFNTU3i9Xvr6+nC5XDz44IMEAgFWV1dpbW0lFAoRjUYpFos0NzcDEIvF6O7uZm5ujtraWpkANT8/LyeeQqEgIZ1oNCpjBslkklwuJ/tJBFcPHTrEyZMn6ezs5OTJk9TV1dHa2orD4cBiseD3+4nH41y5cgW73c65c+c4d+4cqVSKRCJBJBLB6/XS2tqKzWbD7Xaze/duAoEAa2t36vdYLBbGx8exWq1YLBYeeughPB4P6XQak8nEgw8+yNDQEB6Ph8OHD8uAfSwW4+zZs5JBJPTEZrMRjUZ5/fXX8fl8nD9/fh1xwGazcenSJQqFAnNzc2Sz2XWxLrXOjgqNqPojRDXwqrMidFf/m2ArqVCQWOEKPRSrCLFq1DOPRBuEgc/n81LfxfXEqkitUaWukNWx+nGUiqf/K8hGy9hyRl/1wvWekL5GjcAm1ZII+s962KccVKPyj/WsHlXKeS/qKqPc9+p35ehroh/W1tbk0j2ZTDI3N8fbb79NNptlaWmJSCTCysoKTqeTVCrFyMgIfr9fGqm6ujqOHj1KNpvF4XAQDoeJxWK43W6ZeOXxeEgmkxiNRl577TW5JK+rqyMcDvPoo4/S1dVFOBymtraW6elpnE4nr7/+OidPnmRmZoY//uM/Znl5GZvNRjAYxG63MzU1xeTkJEtLSzz++OPU1taysrJCY2Mjo6Oj1NTUYDQaaW1t5e233yaXy7Fv3z4uXLjA7t27JRd+fn6eT3/601y6dIm2tjaGhobw+XxcunSJL33pS/T392Oz2cjn8+zfv59Tp07hcrlk/9psNtbW1qirq6NYLLKysoLNZiMej7Nt2zZyuRzJZJLt27czPT1NbW0tV69epaWlBYPBgNfrlRPJ7OyszMrdvHkzV65c4eGHH2ZhYYEbN25QX18PgNfrlSU3qqqqCAaDBAIBDhw4wKVLl3jkkUeIRqMsLi6yefNmWltbuXHjBr//+7+/4XjQ656qY0JXxDgoJypE+UE8a73Xr44PMe7EBKB69CpUqopezzcqW/FRlIqn/xuSjaAT9Tvhpeu9EfFXBFjFZCAUSHzWB4r0RlwcL+Ag9Tc1vRzWB2xVz2mjbGJxvBgUIuisBnFFG8Sx+sCcMBzPPfccr776KqdPn5YZtCaTSda3SSQS2Gw29u3bh9Vqxel0SoMrgofxeJxQKERDQwNWq5VUKoXX66Wjo4Pm5mai0ShVVVW43W5Z1qC6uppUKiWzTkXwcWFhgRMnTjA/P88XvvAFVlZWGB0dJZFI0NXVRSKRoK6ujoMHD/KlL31JTiwA8/PzTExMkEgkKBaLLC4u4nQ6sdlsTExMsHv3bsnesVgsbNq0iaGhIYxGI7Ozs9LQtbW18corr9DY2EhXVxeRSISLFy9SKBTIZDIyL2FoaIirV69SKpWYmpqSK4OGhgai0SinT5+mWCwSi8UolUpcvnyZrq4ustksJpOJpqYment7sVqtdHR0kEgkcLvdchK+ceMGS0tL7Ny5U743i8UiDeCmTZuIxWIyzyCTybCyskI0GmVubo6rV6/y3HPPYbVaicVirK2tkc1m79I1lS2j6pt4J2IcCBH6JM7XG3yht2qAV/2sZkircSjxm6i7LyaBciUa1LaoNFAxFtRkS/Xvx0kqRv9Dit7YCSmXYSuUWYVt4N1JQBhrg+HdGjvq0lefqSs+q/XBVdhHeP1Go1F6jfrMYCEq9qoOFMFsEG3RL2nFJKAylEwmE4ODgzz//PMkk0mWl5eJxWJcu3YNs9ksg7F+v5+2tjZqa2tJpVIsLi6SyWRwuVwUi0W2bdvGrVu3ZGlis9nM6uoqfr8fk+lObfuBgQHC4TCBQIB9+/bR2tqK1+slk8kwMTHB4OAghUJBsl68Xi8ANTU1PPvss5w9e1Ymc509e5ZMJiMTvGpqajCZTLKmTTAYlAa9VCrxxhtvMDQ0hMlkwu12S5qo2+1my5Yt9PX1UVtbSz6fZ3FxUa5KGhsbeeSRR+RvTqdTGvK9e/eydetWqqqqWFpawu12MzIyQnNzs1zxCSji2LFjRKNRWadHQGKJRIJQKCRXVlevXiWfz8tA9csvv8zu3bu5fv06Fy9eZHh4mMbGRjweD7dv35blIpaXl7nvvvtIJBLMzMzQ3NxMoVAgFovR0NCA2+3G4XAwOTkpnRubzbau1IYI9uv1UaVOisCuqj96T1pl7KgGW89yE7TRfD4vY2liktHHvYTOqxOEypxTVwnC8ItYmjp21b8fJ6nAO7+C6JeYakD0/Zg6wvCqS1zxf7EszWazWK3WdfdQa87rl6D6QO57tVUcrzIi9G3Wb5YipNy9y7EhZmZmiEajXLhwgYGBAdbW1qipqZE15AOBgKStrq2tEQ6H2bNnDwsLC4yNjXSenQcAACAASURBVLG0tMQXv/hFmTQlatUsLy+Ty+Ukx19sL1goFBgfH2ffvn2EQiHW1taora2lqamJoaEhnE4nRqORbDZLIBCQO3W5XC7a2tro6+tj7969zM7OSobQ0tKSNITJZJJoNEpvby/JZJJsNsvQ0BBut5tjx45JyCASicjkrrfffhu73Y7b7eb27duMj4/zX/7Lf+Gtt94ilUrh8XhIpVKsrq5iNBoJBoOMjY3R09PD4uIiqVQKq9VKe3s7gUCARCKB3+9naWlJFh+zWq243W5SqRR9fX3kcjnm5ub4Z//snxGJRIjFYszMzBCLxQDw+/0yb0AUdhsdHeWP//iPuXz5Mtu2beOZZ56htbUVp9NJd3c38/Pz9Pb2ytILt2/fxm63k8lkcDqd9PT0sHXrVnp7e/F4PBKKSSaT0vn42c9+xsmTJxkZGWHXrl3rkqDK7aqlGvJyKwAxKeghT1Xf1eqtG41JNdlRpTeXO0d8LseG+yhLhb3zW5ZytDPxvfirDyRthAuqmL0eTtLTPIG7JhHVk1fP1Sutfps/lWevnzA2YmmobIl4PM7zzz9PX18fHo+HTCZDS0sLPp+PUCjExMQE+XyeY8eOsbi4yPnz59mzZw/19fVEIhGKxSIzMzO0t7czOTnJ1772Na5evYrb7cZkMjE8PIzf72diYgK/34/D4WBiYkIame7ubpxOJ3a7nf7+fhobG1ldXZXbSMbjcfbu3cvq6qpkbuzZs4fz58/T3d1Nf38/Ho+H7du309fXh91u5/r16/zLf/kvuXjxopxITCaTrDXjcDhYW1tjy5YtDAwM4PF4ePjhh3n55Zfx+Xzcvn2b/fv3y9WJxWLh0qVLfOUrX+HWrVtMTExw7do1NE3jvvvuY3Jykrq6OgAaGhq4cuUKhUKBPXv20NHRIT3pQCAgSzls3bqVTCbDpUuXMBgMrK6usmfPHsbGxiTjJxKJcPLkSemBi5yI/v5+du7cyfDwMJs3b+bmzZts2bJFxi5EkHfv3r243W6KxTv7+G7atInJyUmcTqfMK5idncXr9dLc3CxzF27dukVvby9er5djx47J1Va5cSOgOGCdQ6KnVaosN6HT+pLO6lhUP4vz9H/LMe9U3F9QUzdq90fR268Y/d+wCDhFMAXei5IplEIomKBgCkUut02iWEGojB+r1SoVUSw39SJqj+tLNAgDVe45VCaOmpYuRF/3Hsp7UENDQ/z4xz/G6XRy6tQpnE4ngUCAtrY21tbWWFhYwOPxYDAY6OjokJmqgo55/vx5zGYzt27dIhaLcf/999PU1EQ6nWZhYUGWyg0GgzzwwANMTEzISUxAWALnb29vZ2ZmRhrvVCqFxWKht7cXp9PJ9u3bGR4e5sqVK/h8Purq6jAYDNTW1q6rdjkwMMDnP/95Wer4xo0bbNu2jU2bNtHe3s7ExASlUolQKER1dTXFYpGOjg6i0Si1tbU0NDRw7tw5rFarLLcgjP+OHTt44YUXqKmpYWFhQcIHXq+X7u5url27ht1uZ2Zmhj/90z/l5s2b7Nu3j7feegsAp9PJysqKjAVduXKFnp4ebty4gdlslsXoFhcXue+++6ivryeTyVBVVUVHRwdnzpwhk8lQLBbJZrO43W5JZRTlHJqbm/H7/QwNDbF582bGxsbYsWOH1OXl5WVqa2tZWFigra1N0l7tdruErSYnJ9mzZ4+Exh555BEcDgcrKyuSDSV03GKxvOfeyRuJPttc5Ei8l96W0+Fyxlx/nDreNwoAfxSkEsj9DYm6FBQvXk/JFHgivFvJUpwjlFOPr+sDTirFzGw2Y7fb72IiqDRKtXqhfrNqTdNwOByyOqKeCifOFynwwrsC1iW/qGwLveRyOSKRCDabDY/Hg8/nk7TDzs5Okskks7OzNDU1cfXqVaampjAajSwvLxONRjlz5gwWi4VkMsmDDz7IZz7zGVlH3mazEQ6HpTFvaWmhv79flkCora2lqqpKGrif/OQnMuh45MgRua1fIBCgs7OTQCDA2NiYLPng8XhwOBxyVXDlyhW5nLdYLFy9epXa2lqcTqfc0OTSpUtcvnyZWCwmSyosLi6ya9cucrkc3d3d1NfXyzan02lJ/RT4/8TEBFu3biUQCBCNRmlsbJQrvH/8x38kk8kQDAYJhUL8p//0nxgYGOB73/senZ2dEv5aWVkhm83y5ptvSrpqZ2cn27dvZ3FxkaamJurq6jCbzTz22GPs2bOH9vZ2fvSjH5HNZslms7IuT6FQIBQKUVtby9LSEvl8nunpaW7evElbW5uc4IRhN5lMpFIpZmdncTgcDA0NycznyclJvvOd73Dr1i327dsnE65sNhtLS0vMzc0xPDws762OIxVLFzGBjfROiCiqJla6VqtV1vdRRVxbxJbUa4vgsrp3gnqOqPApHD3hMKkxrY+LfGhP32AwtALfBxqBNeBpTdP+m8FgqAF+CHQAU8BXNE2LGe704n8DPgekgf9T07S+ctcW8lH19PWi90r0yVvvhfcLeb9lYrkEGPW6G3nz5a6th5f0y+BydXr0GKi69E4mk5w+fZpTp05ht9tlQtTJkyeZnp6WST9zc3Ps2LEDq9XKmTNn2L9/v9xZyWQysWXLFkZGRqQRj0QiZDIZ3G63NBDFYpEjR44wOzvLzZs3CQQCHD58mMHBQcbHx8lmsxw4cICamhquXbsm2+zxeDh69Cirq6uk02kMhjsFz0qlksTSg8GgLNHc3d0tOeGFQkEmOcEdeCUUCtHR0cHk5CQulwuDwUB1dbXcm9ZkMuH3+6Xnf/bsWXbv3s2WLVsYGxvDaDTS3NwsYbXh4WFu375NIBCgubmZp59+WvLte3p6cDgckg4qNmHRNE0Gu9va2ohGo7LypVqyOplMsnnzZmmQAQ4fPkw8HpcF4OBOfoXf7yeZTFJfX086nZbVSNva2qivr5cxhnA4DMDmzZuJx+OEw2Gmp6fZtm2bTOgS+QHZbJY///M/5x/+4R9YW1vjoYcewu/3U1NTI/VKHSfCCdGvftWige8F/+hF9cg3ytDVr8j1ui+uoydBfFTpm78tT78I/N+apm0FDgP/l8Fg2Ab8FXBK07Qe4NQ7nwE+C/S88+8p4P/9Ne59z6UcW0d8J3BBtUpgOSOtn2D1TJ5y9xMrBzEoRBBMXVHA3SsOlT6nx+dVKpow4ColTr9xSqlUkkFBMYD0+/YmEgmOHz8uA5APPvggk5OTGAwGJiYmiMVi7Ny5k/Hxcebn53nsscewWq2y3MDa2hovvPACTqeT2dlZGhoaCIfDMmDZ2tqK2Wxm69at9Pf3S/pkPB7n1VdfJRKJyDo3v/jFL3jppZdk//T29vJHf/RH0sB2dnYC8IMf/IAzZ86Qy+WIRqNMTExQVVWFx+MhEAhQXV2Npt0prgYwOTmJz+ejs7NTBnWNRiOdnZ2MjY0BkEgk2L17N/fffz92u50bN26QTCY5cuQIe/fu5cKFC5KCaTQaiUQiDA8P8+KLL9LZ2YnX62V0dFRSW7u6ujh8+DDNzc20tLTg9Xqx2+20trayZ88e9u3bh9/vJxKJ0NTURCqVIhKJYDKZaG1tlQXWnnvuOebn54lEIiwsLNDZ2UksFuPgwYNs374ds9lMQ0MD1dXV+Hw+SQe12Wx4vV5ZTfTw4cOEw2FCoRCHDh2S0KPD4eD3fu/3OHTokFzZiJyIVCrFyy+/jMPhoL29HZ/Ph9frXWfsYf2uZaoHrY9TqZsFqUZehUT1QWH9RixCxASijgVYv/eEGD/6yeCjavDfT35jmL7BYHgB+Ot3/j2kadqcwWBoAs5omrbFYDD8f+/8/wfvHD8ijtvomh8lT1/tp42CPh8E29OXdxXeZLn76a+nD0DpRb8NXLnkFtWLL+fxq0le4lrLy8u8/vrrsta8KslkklOnTpHL5XjjjTdobGwknU7LTbyFNw5QX18vsdbFxUUcDgfJZFLi0w888ABXr17F5XJRKpUYGRlhenoal8tFV1cXpVKJpaUlJicnaWtrk4laXq9XBlnb2tqorq4mnU5z/fp1stksX/ziF3E6naTTaXbt2sXQ0BCapsnSw7Ozs7S0tBAKhWQNHtE/mqaRSqVkoNHv91NXV7eOBSWyYZ1OJw8//DAjIyMSYpiamuLhhx/mrbfeoqqqij179jAwMMC2bds4e/YsHR0dmM1mnE4ncGfSEIla3/72t+nu7iafz1NbW0soFGJ5eVmu6mKxGLlcjscff5ympiZ+/vOfs3//ftnvFouF9vZ2bt++LcteFwoF3G43ZrOZ9vZ2jEYjNTU1XLhwQW5raLfb6erqwu/3UywW5Ts4dOgQY2NjJBIJOTHs37+fmpoabt26RSaTkWUqBGMqm81y6dIlqquruf/++/na175GXV3dulIdH0T3hehZP6qhFzovoMr3uk45L10cr5Z52Kh94u/7reB/V/Jbx/QNBkMHsBe4CDQIQ/7OX/87hwWAoHJa6J3v9Nd6ymAwXDEYDFeEh/VRkXLJWXr6lxCRmao/ViTBCE9ZrBLEcly9F6yv5imOVbd7U0UoqprZqV63VCpJ/FMcr4o4b2FhgZmZGQCCwSAej4e2tjb5DEtLS8Adgx8KhRgZGWFwcJBHH31Usk+Ghoaora1lcXGR5uZm6urqGB0dJZfLMTw8LNkgYtXR2dlJKBRaV4l0dXVVQj0Cs/V6vezYsUNW4RwfH6evr4/q6mpaWlqIx+O0tbXhcDg4fPgwX//619m8ebN81pGREVwuFx0dHfT09NDb28sXv/hFIpEImqbJ2IBY2bjdbjreKUFcV1dHfX098/Pz+Hw+/H4/vb290utW6wANDQ3JOjVPP/00DocDr9fLd7/7XfL5PC+++CL3338/CwsLxGIxnE4nLpeL1dVVxsbGCIVCdHd3s3PnTqxWK+fOnWN2dlYWpFtaWiKbzfJnf/ZnPPHEE2zbto1jx47xwx/+EIvFwje/+U06OzsZHh6WAWZRhC2fzxOPx2WhuvHxcerq6mTOgfDEZ2dniUQiuN1uYrEY169fZ25ujlgsxtDQEC0tLQSDQU6fPk04HMbr9crJtKamhlwuJ1lTJ06coLq6mpqaGmlUhU6qY0aFWdTfy61C8/n8Oq9fZIKrSZHq9fW6rh9DYgzrK36KMS5wfWEH9Cy9j4v82kbfYDC4gJ8Af6FpWuK9Di3z3V29pWna05qmHdA07YBIEf8oyEbGXg3mqEtCfcKH/hoqlqkacnWpqadnimuodX/0bdKLWBkIWAfYcGUh6s1cvnyZwcFBfv7zn/N3f/d33Lhxg3/4h38A4I033mB4eJjl5WWuXbsmtyPUNI2XXnpJ0vgcDgevvPIKXq9XGqna2lruv/9+XC4XtbW1MhN3aGiIt99+m0AgQD6fZ3V1lYGBAbntn9jYRew2JYLBwWCQYDCIw+HgxIkT5PN53G437e3tfOELX6ClpUWudEwmEw6HA5fLxejoKG+88QbhcFjuRPXFL36R6upqcrkcTqeTffv2ceTIEXw+nyyJ4HA4CAaDLC0tsby8zMmTJyUGPj8/L2GqoaEhGhsbicVixONxvvnNbzI7O8uLL75IV1eXxOXPnz8vV1Vzc3MMDQ3JIOrw8DBPPvkks7Ozkltvs9moq6vj61//Ot///vf51//6X3Po0CE56e7evZsXX3yRkydPEgqFOHbsGP/qX/0rtm3bxsMPP8zWrVuljgQCAXp6epibm8NsNrN7926cTie9vb0ypyEYDDI7O0s+n2fbtm2Mj4+zsrKCwWCQyXeHDh0iFAoxOzvLjRs3SCQSsowGwBNPPCHx/XA4zPnz5zl37lxZaERNANRDonqPem3tTulksSoT462cXovjBetOHUsiOK0mJZZLhjQYDB8rnv57ya9l9A0Gg4U7Bv8ZTdN++s7XC+/AOrzzd/Gd70NAq3J6CxD+de5/r0VN81YNtjDg5ZROr0DCUKsKJLwOlf5lMBjuygIUomcWqNfRe0aA3MhEnRTECkB4V2KpfP36dbq7u4nH44yPj1MoFPiP//E/0tjYyN///d9z6NAhWlpaeOaZZxgZGWFkZEQmdSWTSX70ox9x4MABBgcHMZvNtLS0MDo6yqFDhzCZTPzoRz+Se70Gg0Fu3bpFMpkkk8lw/fp1CoUCb731FpOTk3K5LjD4Bx54AJPJRGdnJ01NTVgsFrxeL01NTfzwhz9E0zRisRinTp2SlNBUKiU3I89ms6TTaWpra6mvr6dUKtHS0sLRo0dZWlriwIEDtLS0UCwWmZ+fZ2RkRO5ROzU1xdLSEul0msbGRk6cOMEbb7whA9TFYhGr1UptbS0OhwO3201zczPXrl3j3/ybf8OmTZvwer0yqL19+3aam5tZXV2VFT/n5uaw2WyMjY2xbds2udmJ8NZ7eno4duwYmqZx9uxZIpEIi4uLMoDr8/l49tlnMZvNkqmUzWY5cuQIhUKBxsZGNE2Tnn4qleLo0aMsLy+jaZqsROpwOIhEIrS0tADIZLp0Ok06nSYej7N//35aWloYGxvjoYcewufzcfjwYfbu3SvfUSaTkc8HsGvXLl577TV++tOfcubMGZaXl+8qBSJEYO3lYEzBtBH6rq5mhbOkZq2L1YDe6RJjSawOBFtIHT/6LHr1XHHcR5Gy+V7y67B3DMD3gKimaX+hfP//AMuapv1Xg8HwV0CNpml/aTAYHgP+BXfYO/cB/13TtEPvdY+PEqYP69O2f5XIvYo9qjx4/QqgHDNnI7aOWidno3YIiEmPnYrgrBgIasD5f/7P/0mpVJJlB6anp9m0aRNjY2M4HA6am5vp7+/nT/7kT/j7v/97mUpvMBhwu91cv36dTCYjd+JaWVmhoaGBVColSwkfOnSIcDjM7OwsTqeTYDBId3e39MIBamtruXz5MoVCQW5QUiwWCQQCEhv/x3/8R4kfJ5NJuru72bZtm+Tt19bWAjA+Pi4557du3aKzs5Pz589LhooIMs/MzHD16lUAiX2LCUnAUfDu6mnPnj3kcjmam5tlVdLr16+zc+dOqqurJRVzbGyM0dFRuf1gMpmUm59//etf580335SVQgOBgKRDtre388ILLzAwMIDf7+fJJ5/k9OnTnDhxglKpxPDwMFVVVXKfgMuXL1NfX8+mTZvkRupCX3O5HD/+8Y/lc4j9DpxOp8zFWFlZwWw209TUxPbt20kkEpw+fZqTJ09y4cIFDh48SDgcXgc5ithFPp8nEAjwwAMPkEwmGRwcJBqN0tzczOHDh+XElUgk+PSnP01TUxMrKyvs2LGDpqYmIpGIrKOk4ulCv4STJMqFqIXb1FiXWF2rpUfeK36gjik1I12ta2U0Gkmn09jt9rLkjI+i0f9tYfoPAv8H8CmDwXD9nX+fA/4r8LDBYBgFHn7nM8ArwAQwBnwH+Mavce/fiah4+UZsG+F56Nk18O6SVCwzVcxRfNYzGcrdRxhsoaAbsYKMRuNdE4wYsKL4lDqhnDlzhng8Lj3a2dlZVlZWCIVCcvvB6elp6urq+M//+T8TjUbp7+9neHiYZDLJmTNncLvd+P1+qqur12Ggk5OTJJNJisUib7/9NkNDQ4RCIebn57nvvvtIp9PSMHd2dmKxWHC5XLS2tkoP2uVysby8TEdHBzabjVgsRigUYsuWLbS2tkrDIipjTk9PA3dw4L6+Pvr7+5mdnaWvr4+mpiYJZ3V2dsryyZs2baJQKEjvNJVKUSqVCIfDaJpGOp3GZrNJdlEikSCdTjM3Nyf3wp2dnZXv+dSpU4yMjEgISHjzYmL8X//rf3Hw4EG2bduG3W6XfQJ39h7o6Ojgm9/8Jo8//jipVIqvfvWrpFIpAoEAPp+P7du3s2/fPkZGRrjvvvvw+XwyQaunp0fWxWlsbMRgMLCysgLA1q1b+exnPwvcoV3u378fl8vF7t27ZcnogYEBXC4Xp0+fxm63y0Jura2tzM/P8+CDDwJQXV3N/v37JfxVKpXYtm0bFosFu93O+Pg4i4uLrK6u4vF4+PGPf8wbb7zBwMAAi4uLBINBvv3tb8uERxWSEe0Xn1XapDC4AhpVV9qqIyToreo19ONW6ImeqSPGoTD4ai2gcuPz4yCVjNwPIfrZXRhi/VK0HJdYwEFqEGijDFu4m2Ugapur5wvYSS3FrLZNbE6haRpvvfUWR44cQdM0pqenaW1tlTDK3/7t38q0/x/84AcsLy+zZ88eWeYY3p1IhHf1N3/zNzzyyCNks1lZjXHv3r309fUxOzvLAw88QHt7O9PT02iaRigUYmFhQQY5AT71qU8xPz/PzMwMhw8fxm63s3nzZl5++WXcbjerq6ucPXsWg+FOMS673S5r1+zcuZP5+XnpEf7VX/0Vc3NzWK1W+vv72b9/v6QQRiIRefzo6KjcJ3Z1dZXl5WUKhQJOp5N4PM7U1BROp5O+vj4+/elPc/78edxuN3a7nYMHD9LW1sbw8DCJRELWpxeloJ966ikGBwdpbGzkueeew263k0wm8fl8aJqGz+fDZrMxNTXF5s2bWVxcpKGhQda+b29vp729nUgkImMc1dXVHD9+nO9///tysvuzP/szXn75ZRobGwkEAiwuLkrmlGCh7N69m1wux+DgICaTiY6ODlwulyxw9+1vfxuPx8PNmzex2+1s2rQJg8FAOBzm3/27f8f/+B//g/b2doLBII2NjXR2dkp83ul08sADD9DX1ydXSg6Hg6amJqampmQOxqZNm/B4PDzzzDMS5mtubiaZTMqyD01NTdjtdrq7u6Wu6Ve2KpFChSTV7/RjqxzTTog+u1aQCtQYm96oq8y2j6qXD5UyDL8R0TNrPgi8oyaSlINZVClXiE1cYyOvX5X3Ki5lMNwpRGUwGHj++eel0Umn03zuc58jHo/z0ksvcevWLex2u2RiiO0H/X6/xF9ra2uZmprCbDbjcrkYGxuTzBe/309jYyM+n4++vj4effRRrl69yubNm0kmk/T09PDss88SCASIxWJygE5PT+P3+zlw4AA/+9nPJPWyt7eXYDDI+fPnMZlMcnvKVColg6bV1dXMz8/j9XoxGo3s3buXffv2MTU1RbFYZGBggPr6epxOJ2fOnKGtrU1Wp/T5fKyurrJ9+3YymQzV1dWSVupwOJieniYej2O1WvH5fExPT8ua8k899RQjIyOyvEShUGB6elpSVTOZjNQPsRFMMBjkySefJJPJsHnzZiYmJrhw4QI2m40TJ06QTCaJRCJUV1fT3d0tWVItLS24XC7Onj3Lzp07WVhYkHDW6OiohG/q6+vx+/0SKqqpqcFgMFBXV0ckEsFgMOByuVhYWKChoYHXXnuN+fl52tvbqa+v5/Tp03g8HqLRKD6fT2ZRi30MRMnlzs5OZmZmaG1tpVQqybLX9fX1XLp0iR07dpDL5dizZw+Tk5P09PQwMDAgIZKGhgb+/M//nL/+67/mySefZHV1VdJB0+k0Dz/88F0BXb1OC2dJ7HErnB71eD29U2XZqWN3I+OtH+PlErreb1z+ruS9jL7pW9/61j1uzgeXp59++ltPPfXU77oZwN24+0YFmNTAjjhGUCVVUY25UB7BsxebqghsUx0AGyma+E2/gbk4TpTfzWazRKNRZmdn6ezsxOPx8POf/xyTyST58tlsluHhYXp7eymVSly7do329nZZrGxlZYWDBw+iaRozMzMkk0kaGxsJBoM0NTXJ3bZE5codO3bIfVtramoYHBwkEAhw5MgRiRGfOHGCc+fOkc/nJYNGlGZW6XKiprnBYMBut/PEE0/wuc99jvb2djRN4/jx40xMTMjJ1uVyMTs7y9zcnMww3bVrFzabjaamJsbGxpiYmGB+fp7jx4+zsLBAMBiUO0Q99NBDMkh748YNIpEIjz32GOfOnWPXrl0yKHr79m0aGxvZv3+/DO6KomBdXV3YbDYOHjwoSz6LpCxRU2h+fp6qqipOnDiB3W7nU5/6FNFolIWFBUZGRrBYLFgsFrq6usjn81itVhKJBFu2bCGTyeDz+Uin03R3d5PJZOjo6GBlZYVwOEw4HKarq4vJyUmph+KYw4cPc/LkSZnXIHICpqenJe3S4XDI/YNrampYWlpi3759TExMcPDgQUwmE6FQiNHRUQKBANeuXaO1tVVumLO2dqfCqqjvI3Y3q6+vZ3l5We6GJgLtO3bskPosVsrqeBNGV92DQkAzaq6KGoAVMTUxpgRMI87R56uIcalP/tKPcb19+KjIf/gP/2HuW9/61tPlfqt4+h9CVK+6XME0uLtgk7765ka/CdGXQvggS0kV+lGDjqo8++yzTE1NEYvF+MxnPkN9fT3PPfecNCQrKyvE43FWV1dpbGxkZGSETZs2kc1muX37Ntu3b2dmZoaOjg5pqDKZDOFwWHrIhw8fRtM0XC6XhCdGR0fJ5/PMzs5SLBZxOp3EYjGqqqqoq6tjbm5OYs4qm0KUmrbZbNhsNvk8fr+fz33uc6yuruJwOEin05jNZpmqHwqFsFgshEIhHA4HIyMj8n2JTVfq6+vxer2cOXNGVvv0+Xy0t7eztnan9HN1dTV2u535+XnJlHE6nTI5yeVy4fV6CYfD0vC2t7czNDREsViUBec2b95MVVUVy8vL6+rYOBwODAYD8/PzEnf/i7/4C7773e+yZcsWCdfMzc0xPj5OVVUV7e3tjI6O4nK52Lt3L2trawwPD1NdXS1LNHd1dRGPxwkEApKa2tzcTF9fHw0NDXg8Hi5evMiuXbtYXFxkenqa0dFRtm/fzsjICF1dXSwuLpLL5ST5QOzV63K56OzspLm5mWAwSFdXF2+//Ta3b9+WGLswqJs2bcLpdMpidgJPFystl8vF/v37aWtr4/nnn6ejo4M/+qM/Wje+1PLj+rGiwjFim0S1Uqy+KJq+sqaARvXjZKOd5PTyUYV4fluB3E+UiCWlyrtXufZwdzEzdUJVlUZdCQivQT1WKG6566nHqUFgkQ0psEZhAOHdke6x1wAAIABJREFU4K2mabKmjMFg4PXXX5d1ZyYnJyUn3Gaz0dXVRSwWo7q6mmvXrvHmm2/i9/uZn5+XSUTT09MyON3d3U1PTw/Hjx+nvr5eJjGFw2GWl5dpaGhgeHhYtisWi2E0GvH5fESjUclYEbi3WpyuUCiwuroqNyQ5fPgwTzzxBH19d0o35XI5jMY7u3GZzWYWFhYoFouMjY1RXV3N5s2b6enpoaWlBaPRyNe+9jX+/b//9+zYsQOHw8Hx48eJxWLk83lCoRA2m42+vj6MRiOhUEiWEti5cycnT55k586duFwuuYG4z+ejp6eH1tZWstms3LNWOANiEkylUhiNd7ZbDAQCcnN0g8EgYSEBV23fvp3+/n45kXo8HgD27NlDdXU1tbW1jI6OkslkSKfT7N27F4vFwvDwMCaTSa7YRMA8HA4zPz+PzWbDZDIxMjIid+vyeDySf9/f308mk5HJcKlUCrPZTCAQoLa2Frfbjcfjobm5WcIkHo+Hr3zlK2zatElCcAaDga1bt9LW1sZDDz0kN7JZXV0lGAzK9y3gko6ODk6ePMmuXbv4y7/8SxmEFzossPdyGL16jJ64oDpkguqpH4PCUVBF9fxVaqi6evioGvz3k4qn/wFFNbiqd66vkPle5WA3qt8tRPVaypVa0AezRLvUVYNY+orzRb35n/zkJxw5coSXX36Z+fn5dTx4i8XC7OwsbW1tRCIRDh06xFtvvcXy8jL//J//cy5fvsz8/DyFQoHm5mZKpRIej0cWKNuyZQuhUIgnnnhCZvKmUilpNGZmZpiZmaGmpoZgMEh1dTXLy8uSVeH1erFYLPIcTbtTJExQAUWxMYfDQbFY5E/+5E8oFots2bKFy5cv09rays2bN/H5fLLOe29vL9lsVsYDxsbG2LVrl6x3b7FYJBe+u7ublpYWvvOd77C0tCSD3zt37qRUKuH3+7l06RJ1dXU0NTXJuvJ79+5lZmaGUCgkGUgXLlyQyXBOp5MjR45w7do1Eok7eYvHjh3j+eefl9h2IpGQ/SGw9EQiwcGDBxkfH6e9vZ0bN25w4MABlpaW5GbumUyG3t5eLl++zJe//GW5CY3Qnc2bN2Oz2VhcXJRBdmGkC4UChUKB1tZWfvzjH9Pb28uVK1e4//77WVlZIRgMyhpF169fx+FwYLfb2bp1K1/+8peZn5/n2rVrHD9+XAabY7EYNTU15PN5Xn31VWpra0kmk7KPjx49SjQapaGhgV/+8pdEo1G2bdvGtm3bSKVSNDU1sbq6Sn19PV//+tflOABk9rqebabCp3oe/gctzazuAa3H+tUxpiZKfhyMfSWQ+xsSPTtAlAvYSAH0fOH3quincolVpRJGUCicXpn1Rh/uZg1973vfk9DC9PS0LMpVU1NDbW2t9LpEsFFkYAaDQVpbW2UMwOl0Eg6HaWhokPx5q9XKrVu3+PznPy8rUYq9ZV9//XW59LfZbNL7NBqNuN1uIpEIjY2NEo4qFAoS09c0TW5SIvZ+FTtK7d+/H6PRKAOan/70p7FarUxPTzM7O4vVamV4eJitW7cSDocZHh7GYDDwwAMPcOPGDcmfFyWf/+2//bf83d/9Hbt27eLatWuyXMFXvvIVfvrTn+J2uyWzR2SxejweuafvH/7hHzI6OsrWrVv53//7fwOsSyrz+XycPXtWlg0Q5SKEsRK7UYlJt6qqSu7/29DQgNfrJZvN0tzcjM/no6qqitXVVQBcLhfz8/Ns2rSJ4eFhVlZWOHLkCF6vl+npabZu3crc3ByBQIAXXniBb3zjG0xOTjI9PU2pVJJMm8uXL0tPtqurC5PJJCG3hYUFvvSlL3HlyhWmpqbYv3+/ZB9ZrVYaGhp48sknuXjxIrlcjnA4zMDAAA6HQ25Q/9hjj5FKpejp6eHUqVOkUilSqRR79+5l//79+P1+mpqa5P4GYrzA3btoCadGxG02IlRkMhlZdVSMC1hfmO3D1s75VWtu3WupGP3fkmzkTegDPRslcpQz2Oo19ceXo5ipkJMaYP7/2Xvz4Dav83z0AUAS+74SAEkQBPddErVYm21Zm63YVp3UbRY3U7dJx+m0mbRz0yTTzG2aO5Op06Z13PamsZs2aWI7dmy5tmVLtmRZskRJJMV930lsBEDsO0Dg/kGf158QynHb+FaZn88/IgnwIwR855z3PO+zcKuTp556ivBgFnzBqIYmkwlerxd6vR5DQ0Ow2Wy4du0aPv/5z+PatWtwu91obW0Fj8cjOiGr+vfu3YuKigpkMhmq0gFQctbs7Cza2tqwsLCA1tZWDA4OIhAIYGVlhZw7ZTIZBAIBVCoVVYyFwmZWLVMjM12D1WrFgw8+CIFAgP7+ftTU1FB26/bt24mDzuAVpi3g8/lknSAQCMg5UqvVUoO5ubkZuVwOSqWSQtaDwSDUajXKy8uhVqvJt4cJztbX1yGXyxEOh8nITavVEuRSV1dHYi/GWNLr9ZRZ6/V66dSUz+eRzWYhk8kgEokQDAZJzKfRaHDgwAHSIIhEIrS3t2Nubg5lZWUIh8MIhUJIpVLIZDIEOTHWTk1NDcLhMIRCIVKpFJxOJ1Xl9fX1OHPmDDweD9bW1rBz506Mjo5S2EogECD+fUNDAxwOB8LhMPntA5v+RHq9Hq2trZibm0NDQwMAYHR0FBqNhiC3pqYmavY+8sgjeOyxx3DgwAE4nU48+OCDqK+vp9MV915m4jG2KfF4N6vfWZXOCp1SLL4Uk+cu+IwwsRW7rvQ08WEYP7fL+Ji982se3AW2dIEvxfmBWy/63F4AuwG5NzNjJnBZPWxwb1i2cXBpZAsLCxgfH0cmkyG5/NLSEpLJJGWqms1mRCIR6PV69Pf3o7m5GX6/H0tLS7C9l27V0NAAqVSKQCAAjUaDZDIJpVKJrq4uGAwGjI+Pw2KxwOFwIBgMYmlpCWKxmAy8vF4vYcIsGKSurg4TExNQKBQUEB4MBlEsFqHT6RCJRMjFkqWBVVRUoLm5GVKplLBuxmZZW1sDAOh0OiwsLCCdTiMWi5FVw/HjxylOj/njz87OIhQKoaysjDbD1tZWFItFiMViaDQa7N69G+Pj43A4HJiYmEBbWxtpDMLhMKRSKWkgWNRjRUUFQS3MhI75zYtEItTX10Or1cLlcsFgMFCDOpvNoqOjA2tra2RyxkJs8vk8ZmZmEAqFKKyd5f8mk0k0NjZSuPmhQ4fQ0NBAJ4Z4PI5isUi+QtlsFrt376ZIwo2NDRw8eJB6RgzbZypYl8tFwji9Xk8Q0Pbt2zExMQGz2YxwOAyr1YqZmRl0dnbC7Xajvb0d8Xgc8/Pz8Hg8mJ6eplQut9uN5557DiKRCBUVFaioqIBIJMJLL72EtbU19PT03MTEYalbbLHnUphLoZ/S3hl3jrC5xj1ts54Co3tyqZ3cuVpKwrjVnL5dxsfsnf8fBnsfuYk63O9Lb46teP4fxBK41e9s9Tr6+vowPj5OEyISiWB1dZUsdVmc3PXr12mRKysrg1arxdDQEEKhEA4fPoz19XVUVW3aJfH5fOJat7W1IZVKIRqN4sEHH8QLL7yAw4cPY3x8nK7xqU99CrOzsygWi9i2bRuee+45KBQK9PX1wWKxkFSfBYoLBAIEAgFqOrPju0AgIKvcmpoa2O12CjW3Wq2Ynp7GoUOHiHpqNBqxtrYGnU6HK1euQKvVwu1249ChQygUChgcHEQ6nYbf76eFk1V+zc3NGBwcRGdnJ2kNjh8/juHhYZjNZkxNTZHr5eLiIvnvq1Qq6PV6XLhwAWq1GuFwmPxogM3NSCAQ4N1334XBYIBMJiNYRCQS4emnn0YqlaLPXy6X0ynHaDTC6/Wivr4efr8f6+vrqKiowJEjR1BWVoaVlRU0NTUhGo1Co9HA5/NBpVJReHoymcTq6ipyuRzuvPNOhMNhiMVinD9/Hjt37iQG1a5du+DxeHDp0iW4XC4Sb7GsYwZHtbW1UX8kmUxSZkJVVRWy2SzW19fR0dEBt9uNc+fO0fvLqLtKpZJOXOl0mrD7rq4ubGxsoLW1FQcPHkRdXd0vUZVZYbMVf54t+qWPlfbRftUizYVT2XO3ChX6MPP1f3N8DO98hINrt3CrBbn0xmMc4a34++w5pVU/d/Ng+Dsb7GYeGhpCeXk5YejMN4a5SDJqpdPpJF+Z6elpCrRYXl4Gn78Z3GF7T6laXl5O1a7b7SZeeD6fx/DwMA4ePAiFQkEYbz6fh06nQzKZhEqlQjqdhtfrBZ/Ph1QqhVQqxalTp2hRi8fjZDfN3kelUkkMnIqKCgrUPnz4MCQSCXQ6Hd599100NDSQCpjJ9aPRKInH3G43Hn74YQDAK6+8QgZwoVAIi4uL9P4zG4doNAqXy4VAIIBEIkEhL8x0jYWYBAIBeL1e4p0LhULY7XYMDw9jY2MDn/nMZ/D666/jxIkTZC43NzcHqVSKWCwGs9lM7pXV1dWoq6vDU089RQlcTDzGPqNisYgDBw7A5XIhFArBbrfT5tjd3U2hKFNTU6ivr6eFvLe3F2KxGE1NTairqyMhUzgcxtjYGNLpNDo7OzE/P0/UUxZrODExQeljoVAIO3fuxOLiInbs2EGvT6lUYm5uDvX19ZidnUU6ncb27duxvLwMvV4PrVaLq1evIhAIwGaz0f2xa9cuUjFXVFSgp6eHlNcA4HA48IUvfIHmSWnRVOqlwwgQLJ/3wyzubK6Vqnq5c5B7/dLn3O7jY3jnIxrs+MkaOmyU3kBcCwZ2BC0VXbFrsc2gtFfAPdKyicC+Xl5ehkgkwquvvopQKIR4PI7V1VUMDg5SGLnX60U4HMbc3BxJ3q9du4aHHnoIc3NzcLlcSCaT9HcikQjEYjGsViuam5tx+vRpSrWy2WwYGhrC3XffTZuTVCqF2WyGRCKB1+tFPB5HJBJBNptFZ2cnKioqqNHr8XgoiSkUCpGPDqNcMnGXTCajTe7IkSMIh8OoqqrCwMAAlEoluru74XK5UFNTQ6K0RCKBYDAIr9cLqVSK/v5+uFwuws2Z6yc7SZw4cQJSqRR+v59sFFiM4/r6+k3h6+vr68T00Ol0UCgUSCQSEIvFWF9fRzwex6c//WloNBpYrVbqDVRXV1OF63Q6YTAYsLq6SsZpfX19ZBPMglHYhi8QCLBz506MjY1Bq9Vi37590Gq16OrqQiwWw/z8PBm4ZTIZpFIpXLt2DWq1GoFAAHq9nmiSzAv/1KlTpDIuFApobm5GIpFAKpUi6qrb7SbxlEAgwNTUFPh8Pvbs2YPBwUEIhULodDp0dXXh0qVLSKVS8Pl8GBsbw5EjR2C32+n0KBKJMD09jZ6eHuRyORw9epSYS1VVVRAIBAR3Mc8mdiqamZkhqi13fjEdBzdDguuNVVqFc/te3F4am0dcURd7jEvrZPOS++/tvAl8DO98RKN00ecye25VaZRW+6U4JPfaH2QrW1ZWhjfffBMAKFGpqakJk5OTxFsPhUIYHh7G4cOHKWNWIBAgmUzCZrNBo9Ggr6+PqmKmDGVOjbFYDPfddx9+9rOfkT9NU1MTpFIpeDweOjo6MD8/j2KxSCwcp9OJbDaLhYUFCiBhYS6pVAoajQZutxvnz5+nYBU+nw+lUknB4SKRCOl0mlTAuVwOe/bsQVtbG4aHh2E0GjEzMwODwUCh3Xq9HmKxGJcvX6bQ72QyCWDzNGE2m9HY2IiNjQ3MzMwgGo2ipqYG0WgUXV1dWF1dpROHUqlEWVkZ7HY7fvCDHyCbzSKZTKKrq4v490wzwERHoVAI5eXl6OrqQlVVFQYHBylpS6vVwu/3Y3FxETabDUajEXw+HxMTE8jn81CpVEilUrh+/TqdVlpaWijtam5ujvoRHR0dSKfTWFxcRG1tLaxWKyYnJyGTySCTyeDxeLCxsUGCt2Jx0ySO9WOYuyezYvb7/WhtbYVEIsHGxgbeeustyGQyVFZWIhgMwmAwYHJyEh6PB3w+n6i0jDbq8/nQ1dUFn89H+hKv10s03vLycqKRMgxfLBaTAryhoYF0Anq9HpFIBFarFb29vTCZTPit3/otdHZ2QiQSUYHB/uWeBP4rc5M7D7ksHK5m5lbz8jdlfCzO+ogGo2tu1fjhCri4gy34DK8uZRUwmhqXNcAdzE7hmWeewV133YXKykqiKQ4MDFCcHrcaZVVeNpvFpUuX4HQ6SXUrkUgIp25vb0dZWRm6u7uRy+XgdDrx9a9/HVVVVXC5XLjnnnvQ0NAAg8EAiUSCyclJVFVVQSqV4tq1a9RP4PF49Pjdd9+Nuro6rKysgMfjYXh4+CaRzsbGBj73uc+hoqIC6XQaarUa99xzDz75yU+irKwMDQ0NpDp1uVy0ADY0NKCtrQ2hUAjr6+uYnp7G9evXEQwGKRVKIpEgFotBqVRShR+LxeByuVAoFDA3N4fy8nIKY3c6nXA6nQgEAojFYkRNzGQypIp1OBzkicOw/HQ6jTvuuAOxWAxtbW148803oVKpIJFIsG/fPiwuLuL111/H7Owsrl69ikuXLmFhYQEymQw9PT1QqVRYWlqijF+dTodoNIp0Oo2RkRG6H44fPw6z2YxoNIr29nbMzMzg8uXLaGxshNfrxczMDMrLyyn5i1klM0sLrVYLtVqNSCSClpYWsi5QKBQYGhpCOBxGKpUiGGbbtm0oFAqor6+n6jaTyVDTOJVK0WbNQlWkUinsdju5pDLHVub0yfKHM5kM9Xw2NjZgsVgov/f69etUxet0ul9K0eJW86WMGu7cZAy2reYllxLNFnvufLzV/Ludi+QPOz6u9H+NgyueKuXac6uOD+L1s98F8EvXYYM1PH/+859jY2MDcrkcMzMzSKfTxERgyUdzc3OIx+MEgTQ0NCAajSIajWL37t1YWVmhRiOjX/7iF79AW1sbqS4vXbpE3GmHw4GxsTE88MADePLJJ2GxWIh1UlFRAavVSicQxtRoaGhAbW0txQwmEgmMjIzA5/PhE5/4BCKRCFWpHR0d8Pv9MBqNmJubQ2NjIwQCAfnLvPvuu+Dz+ZiamsKf//mf48qVKwRFMPsF5veiUqmI4ZJIJBCPx6nKXltbI6FVVVUVzGYzZmZmYDabMTk5ibKyMtTV1WHPnj347ne/i1wuh+bmZgpWAQCz2UyWCyxcPJvNYmRkBG63G83NzbR419bWIhgMUrgLCyCvqqqiAJJvfOMbtMlkMhnC7VnurMvlwqOPPop0Og2XywWLxUI4P/tcC4UCTCYTxsfHiZ7Jcnz1ej3diyyeUiqVkuI3lUphYWEBLS0tFDSv0Whw+vRpqFQqGI1GyrtlylsuLKVSqejkEolEyMKBbfIGgwHFYhFyuZxyEVjVv76+DqVSiXw+j2PHjmFwcBB1dXW0obINiFXtXLV5KX0T+GX+Pdf8sPTx0j5aKfnif8rp/98YHzdyP6LBZQqUNpc+iC3Afi+bzZKvfeljxWKRmmqlv8tMsG7cuIFnnnmGLAoAENd8eXmZfHI8Hg90Oh1qampIZKVQKCAQCEia39jYiIaGBvzlX/4lxGIxNTfHx8dRX1+PeDyOQqGArq4uOJ1OzMzMYPv27Whubqbjf1lZGeRyOa5cuUICqHA4jMrKSjgcDvT29sJms6GjowOzs7Pw+XwQiUTQ6/XIZDJk5zA9PQ2Xy4WmpiZMT0/j6NGj8Hg8GBkZQSaTgdfrhUQiQTqdJjXnrl27yJyNQRHl5eXIZDI3pVuxcPDdu3fD5/MhEokQlLG+vo6NjQ2cPHkShUKBVMksXIPP55P5GBOLAcD+/fsxMzOD2tpaMlBjXvHMs8ZoNEKr1SKfz+PixYtkQcEW/osXL5JjZVlZGVKpFBKJBMrLy1FdXQ2fzwelUgmn04m7774bN27cAI/Hg1QqRV1dHTlhbt++HWfPnoVSqUQikcDS0hKUSiXq6+vp/18sFrG4uAiRSIQdO3YgnU5Dq9WioqICY2NjiEQiKBQKEIlEsL1n3JZIJJBMJjE5OYlkMkk2HWKxGBKJhJTMarUaIpEIgUAAAoEAoVAIPB4Per0e2WwWGo0GOp0ObrcbR48exTvvvEMaDB6PB7/fj56eHuh0OqhUKrS3t2P//v1bqtG5DVZGDOAar7Hq/Vc50JZ+XWqFfittDVPg3460zY/hnV/TYB80NwSFDW5QA7D1MbKU5cOOk6UMIHbt0gWf4Y4XLlzAf/zHf2Bqagqjo6PkO8O8asbHx1FbWwufz0eZtcePH6e4vPb2dtjtdiQSCWzbtg1CoRAXLlzA448/DoPBAKPRCKfTSQ6UbrcbFy9exNGjR8kvxWq1Qq1Wo7+/n3Jd2UIRjUbJp6VYLGJychK9vb0kurp8+TLsdjsqKipgsViwsLCAfD4PhUKBJ554gkLPDxw4gOrqalK++v1+rKys0GvM5/PI5/MQi8UwmUwYGRnBwMAAJiYmSFzFmDfsGM8WBwZBMaEaW/xtNht8Ph8GBgaQy+UQj8epmq2urqaF/a677kJrayt8Ph9FFDJl67Vr18gHplgsoqamBj09PZBIJGhtbcXv//7vY2NjA/F4nH6nubkZ3d3dsFqtCAaDlGksFovh8XhgMpmgVCohEomwuroKsVhM+oKZmRlIJBJoNBo8/fTTlIzl9/ths9lgt9vJatlut2NhYYHwd9YbYNnDTU1N2LNnDzQaDYXYGI1GtLW1wWQy4Ytf/CI0Gg2dlDKZDFwuF7761a8S5j83N0dGeexzZhu80WgkG+i+vj76fJhWYdu2bbh+/ToKhQJ27dpFOQtbLb5cCxT299hzuCcB7oLPPIXY2NjYIOiKDS5kxN0UuN8zz56tHDdv9/Exe+e/MNhNxf3ggV8OOS9tGrHnci1cuXgkez67QW8FA7FjrVqtRjKZxOXLl7F7927E43FKgmLVaKFQgF6vJ1yUYfh79+6l0BEA6O3tJRM0xrdubGzE6OgoZmZmoNFosLCwQAIdn8+HQmEzL1UulyMSicBgMCCZTGLnzp24ePEiBAIBHA4H8vk81Go1fD4fVU+ZTAZra2vIZrOw2+3o6+ujU8fly5fR09MDv99PDCSHw0FZq6yBqFQqMT09TViwQqHAwsIC9u3bh6mpKcjlcoKwGN4sFotRXl4Oo9GIYDCIQCBAwqBQKITV1VXYbDY0NjbC4/GgoqICX/jCFyAUCmGz2bBt2zYSmpWVlWFmZgYLCwuorq6mv2+z2cjtk6VvFYub9tOxWAwHDx7E5cuXqYfALJZramrIl99kMsFsNtNGmslk8NBDDyESiZBPj0gkon4M8yfSarVoaWmhxDNm5aDX68Hj8aDVanHp0iWUlZXh4MGDMJlMMBqNsNls+M///E+y4wAAv9+P+vp6ZLNZDA0NQSaT0QaWz+fJoruxsRErKyvUNwoGg5BIJPjkJz+JgYEB4uGzRTafzyOdTsPn85FBoFqtRk1NDeRyOUUutrW1ob6+Hrt374ZSqYTNZvul+cRlsAHvm+6xyp/Nr1K6J1Opc1k43OeULu7cucf92e0O+XwQe+f2fMW3+eDeHOx7Nko9cLhjq+B0tklsZeAG4KaqhM/nY2lpCSMjIxAIBPjEJz5Bx24ebzPtiFH8Dhw4QOEhAoEAExMTUKvVeOaZZ1BRUUEJRwzLjUajEAgEUKvVcLvdiEQiUCqVJNLR6XQoFArw+/2oqqqCz+fD+Pg4IpEIwuEwVCoVXnrpJXg8HgCgoz/bABi+ns/nYbPZkM1m4ff7IRQKoVAokE6nqbfAJm0wGASfz8fc3BxkMhlMJhMY3JfL5VBZWQm73Y62tjYAwPXr1ym8W6vV3sT/Z34tzDk0l8thfX0di4uLWF9fx7/9279hz549SKVSaGlpQVdX101pWTU1Nejs7CSWDIOPFAoFdDodDh8+jFwuB9t7fHQWwLJnzx5s27YNgUCAoBG/349EIkF5wXw+H/X19di5cydmZmbQ3NxMyl2dTofe3l5ks1nI5fKblKNqtZo0Esxe2u12QygUIp1OY/fu3Whvb8f6+jr8fj811RmbZmFhAc899xwaGxuxtLSE9vZ2GAwG+P1+TE5OEjuqtrYWhUKBAlr4fD70ej0WFxep18P6KrlcDs888wypldkiy06zPp+PKuRQKAS/34+LFy9ibm4OBw8exMzMDAKBANku2+32X5ozzEKZOz/Y6ypl5HDnIdNUFItF8s1iGx3bBLY6rZfOaS6sVDpffxPGx5j+f3NsZXBW+nVp0g7w4Zw2b2UwxbBKAJicnMQrr7yCQCAAoVAIjUaDixcvwmw2Q6FQIBaLQSAQUHOPiYwMBgOGh4dJxMI48axPIBQKyVee2Q10d3cjk8lQg+/MmTPo7OyExWKBx+NBNBqFSCTC2NgY6uvrUVlZCWCT297X14disYhAIACj0QiTyYR0Og29Xo+KigpMTk6S947FYgGPx6NqnNkxy+VyFAoFxGIxOBwOOJ1OKBQKsk6+evUq8vk8KUHZJuhwOEigxhqf0WiUFJfM19/j8eCv//qviXbIYiTD4TCCwSBWVlbI5M1sNmNwcJD8cRKJBHnMM14/q+Tb29vJxI5tLgKBgPJwR0dHodPpqMFdLBbR1NSEpaUlRCIRtLe302nC4/FgdXWVgm0sFgsWFxdhMpkQiUTIElmn0yGdTsNkMqG9vR2pVAqNjY2IRqPQ6XS4du0aWltbsbS0RClik5OTSCQScDgcSCaTJKxiJ6LKykp6D3784x8jkUjQKSYSiRDMxE522WwWqVQKFRUVJEhjrqPl5eWIx+Ow2+0oFovo6OjA8PAwuru7wefzMTk5iS9/+cuwWq0UaL9v3z6aDwwKKp2LXByfm0BXysYBQKexrVS2XNdN7vzjnr65c/x2xPOBjzH9j2Rwb6JbCUK42D2rdJh3d2lVsdXgQkBsoxAKhTh79iwFgpeXl8Pj8eCdd97BI488Ao1Gg3Q6jebmZuj1erhcLmpoLi8v4+2330Y2m0VVVRXm5uawuLgIiUSCPXv2wOFwkAo0nU64dPq8AAAgAElEQVTD7Xajq6sLACiAI5fLobq6mtKcQqEQrFYrqquryWtndHQU1dXVuHbtGkEUzCd+bm4OKysrWF5eRkNDA1QqFUwmE20ozNArn8+TyIhx9c1mM7RaLQBgamoKACCVSmGxWCASidDf349CoQCHw0GLsFarpdhHuVxOwim2eBgMBjz22GOYnJxES0sLVcGRSATV1dWQSqUQiUTETjp16hQsFguZlzFYZGVlBd3d3UQRzWazOHPmDJ1QDAYDnRqUSiVGRkbA5/Ph9XoRi8UQi8XIebKnp4cCY/bv349IJIK6ujqYTCasr68jEAhgYGCA+P19fX10vwQCAezatQtarRbhcBjV1dVwOp24fv06eDwezGYz2tra0NLSgmAwSJh7d3c36RtkMhl55lRVVZF6+ezZs2htbaU8AOa1n0wm0dLSQv5GrF/ClLtGo5F0FCqViuBAh8OBkZERPPTQQxCLxaQp+OlPf4rTp0+TJQawWd1zFezcCpvry8PVtjDIspTyKZFI6DpsLnLnLINb2WmODXadD4KBfhPGx4v+/2CUHu24Ig82SoNQgM0biy3ipaPUVC2bzQJ4H8/PZrO49957YbPZ0NLSgsrKSvB4PFRWVuKNN96AxWJBOBxGf38/zp8/j2w2i8XFRbJOuOuuuyCRSBCJRMhaQCQS4fLly8hkMrTg+nw+ysZlWDLjpIvFYgiFQpw6dQp33XUXuru7ceXKFVRXV1Pj85lnnkE6nabKKx6PQ61W39QAe+qppxAOhyGXy9Hb24uZmRmcOXMGVVVV8Hg8CIfDJH5aXV1FIBDA1atXEQ6Hqbn66quvYn5+Hvl8HgaDAR6PB7W1tYjH44hGoxgYGEAwGCTWEzM7s1qt6O7uhlqtBgC0tLTgxRdfhNfrhd1uRywWQzweh9PphFgsht1ux/LyMoxGI0ZHRxGPx0kpy1hQ//Iv/4L6+noYDAb09PQQG+bnP/85KWTz+Tz6+vqwvr4OvV5PthJqtZocPJlPjdlsxvj4OAwGA7GgmDWFQCCARqOBUqnEvn37YLFY8Oijj+K+++5DZ2cnHA4H7rnnHmqWVldXw+12Y+/evbhw4QKA93UGIpEIdXV1CIVCSKfT+MUvfoG+vj4Eg0Fcv34dVquV2E+5XA47d+6kkxOD/ebm5ojZxJxJy8rKsG3bNnR2dqK9vZ0sL5h1h0KhgMPhALCZhDYyMgK73Q6tVot33nkHKpUKYrEYAIg9xQ0O4s4T7mCWDGywBZ5r9cF9Lvs5tynLYFfu9bl++rdaA34TxseL/v9gbNXEyWazN1G6GDTDxRgZ/7r0yMl9jJ0E2A3LZSUwiGB+fp5k+EajEe3t7VRdJ5NJBINBshcQiUS48847MTs7C7lcjtHRUYI5xsbGEAqFcO3aNUo40mg09HqEQiHOnz+PwcFBsk5Qq9Wora3F6dOn8cILL8DhcODGjRvQaDSQy+VoamoiS+L19XUSizFPeRaIEggEyJed5bZevnyZqIULCwuYmJhANBrFu+++S/RDhUKBSCQCk8mEkydPUtj7gw8+SGHcrLnH4ACr1Uq4P7NiYFzyyclJlJeXw+12I51Ow+Px4O2338bi4iJyuRxefvllijdk8MgzzzxDeQKJRAI8Hg9DQ0NIpVIYGhpCPp/H5cuXwefzcenSJRQKBUSjUaytrVFwjUQiodfGKmiGF7P8A9ZDqKyshFKpxP79+3HnnXfCYrHA6/WS143FYkFtbS3RRMfGxnD48GGKqNRqtTh16hTuuOMO6n0899xzqKysxPr6OhQKBSQSCerq6sgqwuFwYGhoCEeOHMGDDz5IfRLGdLJaraisrCTraNarYRkAs7Oz8Hg8ZAkhEong9/vR1taG0dFRqNVqnD59Gh6PB3v27MHa2hp4vM3UrVQqhRdffJGiJVk1z+YBm29cQgRb7LkJWqUCK251zz0ZlDLpWEXP5iTwPmRUSub4TRq/ea/4Nhhb7e7sRuFSx9gNw8XkgfcrBu51GOOG67nCns+Otgw+cjqdePzxx7F7925YrVaYTCYUCgVcu3aNFtbl5WV0dHTAaDRCJpNh586dJBianp5GobAZGr6yskK0OY1GA5fLhY2NDWSzWcTjcYJumFrW6/UiEAgQhhyJRDA+Pg6/3w+ZTIb9+/eDz+dT9OLc3BxBRswhUiwWw+l0UuU6OTlJzWAuVBaJRHD9+nXU19ejvLwchw4dgkQiwdraGjQaDYRCIRwOB/n9rK2tkTAK2HS3ZBbC27dvR39/P6RSKWQyGTFwdu7cSbmylZWVWFhYQHl5Odrb2+H3+3HixAmUl5ejtrYWGxsb0Ov1iEaj1OAOh8Pkr8MgNdbANBgMqK+vh1wup8+FcdYZC2h5eZkiK1lWbSAQQEdHB6ampnD06FFMTU3B7XbD5/PB4XCgv78fIyMjmJiYQDgcxsbGBmZnZ/Haa69hY2MDa2trkMlkJDRaXV1FWVkZfD4fXC4Xnn76aayurmJsbOymtLZHHnmE8nRZL4Bh+svLyxgeHsba2hoaGhowOjqK3t5eopOyPkYkEkFNTQ0ikQgcDgei0SidWE0mE2w2GwqFApaXl9HT00N+PlarFQCwfft22jRXVlawsLAAADfh+Ol0GgBuquaBzUWa8fTZ4PNvtiTnKuK5izn7ORer58JGbGwVrfibVu1/TNn8LwxuWAP7nin5uLQvbnefe6Qs9fbeihbGfpf7fNYMZn4gFy5cQFlZGWpqanDu3DlYLBYEAgFotVpMTU3B5/Ohrq4O2WyWIIVoNIpjx47hypUriEQiEIlEKC8vRywWowo2k8lALBYjkUhAJBKhuroaEokEVVVVKCsrg9PpJC5+IpFAOp2mxYtBHFNTU8SSSSaTFGLC/PGZWIqpL3U6HSwWC2ZnZ7Fv3z6iOiaTSVoI5HI5MVR4PB7q6+tx9uxZpNNpzM3NYWBgAAqFAjKZDBsbGxTVxxK4mCFcKpUiqqBKpYLP56MQGbVajb6+PsRiMYTDYWLY9PX10aatUqnQ1taG+fl5amQrlUo0NDRgfn4ePN5mHu7MzAwsFgusVis5jjJ9hM/nI68eFpDyyCOPwOv1IpPJQC6Xw+PxYHFxEW63G2azmU4BHo8HKysrZHnMRFXFYhF6vR6dnZ2UW+x0OlFXV4dz585RE1qhUCAYDGJubg65XA4KhQK1tbVYXFxES0sLrly5QgVENpulsJdcLoeWlhb09vbi4MGD5Agqk8lw6NAhiMVi1NfXo7a2FqFQCLFYDHK5HNu3b8fq6ip8Ph/dwwsLC5BIJGhqaoLb7UYikQCw2TNi3jzV1dXQarUU3tPY2EhVOBdn584Nxgxj1GdWeHEhm1JTw1K8ngu5MkyfzUFm6MeKuVIDuNttfKSGazweTwCgH4CrWCye4PF4tQCeBaABcAPA54rFYpbH4wkB/BjAdgDrAB4uFotLH3Tt25W9w6VXlh7vtlIOlo7S1KtSJgB34d/qOk6nE9///vfR2NiIiYkJbGxs4IEHHkBvby/OnTsHmUwGm82GeDyORCKBubk5OBwOzM3NIRgM0sLq9XqpOZxOp6FSqcip0W63w+FwoFgsUuLT/Pw8xGIxLXK9vb3Q6XTY2NhALBajaDo2ARn+zMI8mNVDOp1Ge3s7icD8fj+am5sJNtLr9fB4PPB4PBTVqNFoUFtbi3w+j6WlJbJmYO85E0zNzs6ioqICyWQSgUAAfD6f8njLy8spE5hdjyV1fe9734PdbsfJkycRCATIA55tGHfccQfRUXU6HYxGI3bs2IGxsTHyn2d0VJYT3NPTg4mJCayurtIJZWFhAYVC4Sb1djKZxJ133kkmcSqVCsPDw3j44YfpfbTb7bhx4wZMJhPefvvtm0zKJBIJZDIZuWPecccdeO6552B7Lwjn6NGj0Ov1eO211yCXy7G4uAiZTIa1tTWYTCbU19cjHA7jyJEjGBkZoUb1lStX0NTURGZ7zCqB9YG6urqob1QsFnHnnXdienoaly5dwmc/+1mcOXMGcrmc8oX/7u/+Dt///vcxMDCAo0ePIhaLkfqY6UuYDfMdd9xBqV0SiQS7d++mUBwApGZnqlju/LmV1QKXGFGquuXOw9LkLu4oNUK8XT31P1IbBh6P9xUAOwAo3lv0fw7gxWKx+CyPx/t/AQwXi8V/5vF4jwHoKBaLf8Tj8X4HwMlisfjwB137dlr0f9VCDNx6wS+9wdg1ShkAhUKBYKBSL332PHbaYFXTa6+9hkgkgr6+PkrEYvJ8lrLEjvlNTU3E5WbRfKzylclkiMfjZK7GMPhAIIBQKES2AwaDgQRWTEXJoA5WPel0OjLfYsZnLMlpY2ODGC3Mh6ayshItLS0UMD49PQ25XE7Y9BtvvIFUKoWGhgaq9F955RXCl8vKypBIJPBHf/RHePvtt+mkwZLBduzYgeeff57MwhKJBPbu3UsRiHz+Zk4tEzLV1dXh5z//Oex2O7Zv304hNPv378f169dhs9kop5b9XwBgenoasVgMJ0+ehFwux9jYGNkXT05OYnh4GG63GxaLBW63m/yIGMuFmakJBAJYLBaixKpUKtTW1kIoFKK+vh5isRgjIyO4evUq7rvvPqTTaUxNTeH48eOYm5vD8vIyent7UVdXB7vdTs6pw8PDSCQSNzXymTbDZrMB2GyolpeXQy6XY2NjAwMDA4ThLywsoL29HaOjozhy5AgCgQDGxsZQXV0Nk8lErpwMl9doNMjlcvD5fKitrSVqbW1tLY4cOYIf/ehHxKJaW1sjDySm7zCbzdDpdFheXsaXvvQl6m1wx63EkFxPnq0W9a2cOdkCvtWiv9VG8mEKvP+t8ZEt+jwezwrg3wH8PwC+AuATAPwATMViMc/j8fYA+L+LxeJRHo935r2ve3k8XhkALwB98QNewO206AO39udggzVvS1V+7HdZpVH6u1udHD7I/4PhsIVCARMTE7hx4wYmJycxOTlJOa7MipbH4yEQCNCiFo1GAbxPZ2N5scyYjPHPhUIh2SFHIhEIBALY7XairYXDYSSTSeTzeQiFwpvsDmQyGeGuUqkU0WgUQqHwJgOuYrFI1bHVar0J8+XG6zENAAsmZ++RVCpFWVkZaQoikQj+9E//FE8++SS5OaZSKfj9fsRiMaomVSoV9u7dS6+xpqYGQ0NDxItnf29wcJA2wQMHDuDGjRuYm5tDc3MzVdBNTU2YmppCIpGghLHx8XFUVlaioaEBi4uLaGtro7D1GzduIJPJIJlMkh99Op2GVCqFRqOhzVWtVqOyspIsrJl5HGv+Li0tUY4AW5CZqdnw8DDZTXCV3tu2bUM+n8f169fJnpgF0TMqLOsb7d+/H1NTUyQOA94vTAYHB5FMJmE2m+H1etHW1kawWzgchsPhoHupubkZ586dg81mQzqdRigUwtjYGDweD4RCISoqKnD48GG8/PLL2LlzJ0U1ymQy3HHHHfD5fLSBfOYznyE/fnbvcucL13J8q9hRNoe4YjFWeG0F2ZTOTbYRcNk+XCX+7TY+Sp7+3wP4vwCwToYWQLhYLDIZqROA5b2vLQBWAeC9xyPvPf83cjCclw2uhULpiYDdHOznpZtFKWuA4YgAbkrZ4v5thqV7vV6MjIxQbN3u3bthsVhQU1NDXu5lZWWUtcpeR1VVFbRaLYWCi0Qiot8BIN92lp6VSqWwf/9+4u8nEgkUi5tRi4wlw7JOGf7NuOYMy2cyfEb7ZPTNYDCI2tpaqNVquFwurK6uIhwOI51OQygUkgJTJpMRn9vn85HJ3IkTJ/Dkk0/iW9/6Fh577DH88Ic/RG1tLdkwq9VqPPHEE0QdbW9vp8+CVb9KpRKrq6sIhUIYGhpCdXU1Ojo6qKru7++n/gNzjHzhhRcow5ht6CwRamhoCCMjI3jttdfQ2tqKK1euUNTk7/zO76CsrAxCoRBVVVXEX//d3/1dHDhwAN3d3YjH46itrQWwWX2zzGMWul5bW4uRkRF4PB4kk0mEw2EsLCzA4XDg+PHjJLwLBAKoqqrC/Pw8TCYTCfYYps/ygOfm5siS+fr16xSgEo/HoVQqMTU1RWZ+nZ2dSKfT1IhvaWmBSqXCXXfdRVkKJpMJV69ehcvlgs/nI2KAUqnE4cOHMT8/j+XlZTz99NOwWCxEQWV9pDNnztD9zijAjz/+ON566y309vbSvGHNXHbq2wpuYYs1I0pwK3S2WfD5fNoouQpeLvTKmsJceuftuOD/qvHfXvR5PN4JAL5isTjA/fEWTy1+iMe41/0Cj8fr5/F4/X6//7/78j6SwW4edqOxqoLBGtxgFO6GwG3csgq3dHBpYCyfk/0NLquAVfmsqrt48SJWVlaIr88UuSwnd3R0FDKZDFqtlrJTWYWcSCRQX1+PyclJxONxuN1u5HI5pNNpamoajUY6gr/99tsIhULI5XKUt5tMJkmkxfBXkUhEVbVGo8G9995LKl2JRIJoNAqJREIbDqMyLi8vU/why4zN5/MUns42AqPRiEKhgFwuh0KhQGEoNTU1eOKJJ3D//ffjhRdeQDabpc3hb/7mbyCRSHDs2DFkMhlsbGwgl8uR66NQKEQ2m4VKpUJXVxfcbjeKxc1wGMZBn5ycJHpmXV0ddDodqY3feustjI+Pw+12w+v1Yn5+HlVVVcjn83j88cdx/PhxAJubDNsAWHO5srISWq0WyWQSS0tLGBsbg0QiQX9/P06cOAG1Wo0/+IM/wOrqKhQKBQ4ePEhmdsXiZkzm7OwsWltbEYlE8O6772L//v3o6emB2WwmWORnP/sZduzYgbKyMvJqOnbsGABg586dqKqqQnV1NQQCAYXgpNNp9Pb2orOzE+Pj46Q3KC8vp9Nef38/2Ub39/cjn8/jrbfeQnl5OVpbWxGPx2EymSCRSEgRfvDgQZjNZnR0dMBkMpGNAoOIQqEQ3nrrLfh8PiSTSbJsYCFBbC5wxVpswecWTNz5xbVWZgs+t7dSatpWytIB3i/guISM29nVYKvxP6n09wK4n8fjLWGzcXs3Nit/1XvwDQBYAbjf+9oJoAoA3ntcCSBYetFisfgvxWJxR7FY3KHX6/8HL+/XO7h8X+7RkVUYwPuQCfuaDXbzsQqBCU64YytpN7tBudddX18Hj8fDP/zDP+DNN9+kBXR5eZm40pcuXSL8vLq6GqFQCAqFgl6TRCLBtm3bIJPJoNFo0NnZST49KysrBLsUCgUyArvnnnsoz5Yxb5gLJKvaXS4XRCIRyfNVKhWy2SwGBgaoz3D//fcjl8uhs7MTN27cIHiE5byyHgCDl6RSKUEXuVyO8lsBkLPnt771LXz961+n5C3W2K2oqEB9fT2dDJhB2Y0bNxCLxVBTU4O9e/dSgte9994LsViMiYkJPPbYYzh8+DDC4TCi0SjcbjceeeQR7N27F6urq3j22WdRWVmJZDKJe++9Fx6PB4XCZrgL85JnNFW1Wo1XX32VFrClpSXIZDIAQCqVwszMDPR6PVKpFFZXVwliy+fz+O53v4v5+Xn8yZ/8CeLxOLxeL0VNfuMb34DP58OOHTvQ1dUFsVhMJw+JRAKj0Yi/+qu/gkgkwrFjx3DixAmiUgJAZWUl+vr6kE6nCdbZvXs3Dh48iD/+4z8m9W93dzf6+vrQ3t4OvV6PlpYWqNVqCrJhG8WZM2eoiV5dXQ2v14vm5mZK7WInG61Wi/Hxcezfv5+ynEdHR/H2229Tfu+hQ4fQ09ODmZkZuN1upFIp8Hg89Pf34/Lly3jppZfwt3/7t/D5fAQLcWmYjIbKnb/A+wJKxurijlL33NKAFi7Fkzuvf9Oq/V/O4/uQo1gsfg3A1wCAx+PdCeDPi8XiZ3g83vMAPonNjeD3ALz83q/853vf9773+PkPwvNvt8GFZ7aiWnJ/zsUJ2b/cCmGrwa7BFv9Sf/5cLof+/n689NJLePjhhxEIBODxeIijzvxZ5ufnIRKJyENleXmZvNXFYjFaW1vh9/vJbKyxsRHz8/MAgLW1NQCbNz9jtTDqXS6Xg0qlgsfjwYMPPohXX32VmCXMfZPP51NIeSwWg9frhVKphNlsht/vR1lZGZ5//nnU1NSgra0N58+fp6peIBDg4sWLSKVS5Emv0WiI561Wq0lVy1KZmHqYsVdYKHpNTQ19FlevXkVjYyO2b9+Ow4cP48qVK9BoNFhaWiLGCGPN/PSnP4VSqcTY2Bi+//3vE+W0vLwcVqsVL7/8MjlBKhQKTE1NIRAIkMjI5XJBp9ORdcPY2Bh27NiB8+fP04afzWbJJXN0dBQVFRWw2Wx4/fXXkc/nCRM3mUxobGykOEt2MvniF7+Ie++9F729vVhfX0exWMTAwAC+9rWv4fTp07BYLEilUmSZcf78ebqHmEEayyxg9smscet2u6FQKNDW1obx8XEyczt16hQaGhroHkmn06irq0Nvby+SySRSqRS2b9+Ozs5OvPDCCxSi3tnZiRdffBFKpZIyC0ZHRzExMQGxWIzFxUUYjUbaqJqamrCwsICKigp4PB5MTk7SeyGXy+FwOPDAAw8gHA5jZGSEyAMsB5q7nGwFt7LBPVWX4v/c+ctl2W1F79wqzvQ3YfxaDNc4i/4JHo9nx/uUzUEAny0WixkejycC8BMA3dis8H+nWCwufNB1b7dGbunguvn9qobtr6J2sSQi1itgR9HSBB8+n4++vj489dRTsNlsyGQyWFlZwcjICDVm3W43HA4HhY00NzejoqICAwMDqKuro+hExrQIh8OIxWIAQJh5JBJBsVhEQ0MD7r//fjLmYjF9k5OTBPvE43EAIHyeqWFZXiszAmOZsVNTU2hqakI8HkdZWRlVySxflcERLS0tJPdnCyQzimOLP4N4+Hw+5HI5Tpw4gQsXLiAajcLhcOCNN97Azp07oVQqodVqYTQacePGDVRWViKRSIDP33Qura2tJZ+e2dlZuFwucp9klESJRIKHHnoIwWAQMpkMp0+fJmVrQ0MDvR9SqZROSAsLCxRfyTB/ZiMsk8mQyWRgtVpRX19PqmSLxYLq6moMDAzA4XCQOthsNsPtdsNms+E73/kO1Go1EokEvvSlL8Hr9ZLJWU9PD959912IxWKqkIH3bQiEQiG0Wi3S6TQOHjwIr9cLg8GAhoYGJBIJ5HI5HD9+HO+88w5RKN944w3U1dVBKBRienoalZWVaGxsJL3B/Pw86Rj6+/uRy+UQDodRV1cHrVYLn8+HI0eO4IknnoDD4aDTaKGwGcwjk8mwvLyMkydP4tVXX0V1dTUF0U9PT6OhoQF6vZ56BSdPnoRUKsVTTz2Frq4uWK1WfOpTn4Jer79pvmSzWYJtuE3ZrUgY3JM2+7cUty/N5f0/krL5UY7bddFnH/StqgR2ROTeYLcKOt+KEcQYCsDNISysV8Dn83H69GkMDAwgEolArVbj85//PNRqNY4ePUq5pWwTYcEbMpkMZrMZ4XAY8/Pz6OrqgsvlokAMmUwGg8FAmbcajQb79++HyWSCx+Mhvv4LL7xAHGsGVR09ehRutxsXLlzAyZMnqaIPh8MQCoUUui6VSlFZWUmbDmPoMP2AXC5HMBhEQ0MDwuEw5bwy+ibrSYTDYfLYEYlEsFgstPCIxWL4/X7s27cPkUgENpsNxeKmr7vL5aKm4bVr1wirP3r0KFpbW7G2toZEIoH19XXMzs6SCyljMGWzWVRWVmJpaYkcJVnkIOtNPPDAA/D5fHj00Uexfft2nDt3Di+//DK+8pWv4NChQ9jY2IDRaIRUKoXf78djjz2GSCSC1157jYRLVqsV4+PjEIlEmJmZQSKRoP5DLpfD66+/js997nNYXV2FXq/H2toaNYyZOA3YbIKurKxALpdDIBBAJpPB7/ejsrISO3fuJAtjl8tF+b9MiT07OwulUomFhQXi9jMqJp+/Gexut9vh8/nQ0dGBtrY2aDQaSjnLZrNoa2tDNBrFZz/7WQwMDKC/vx+hUAgjIyMIBoNQKpXg8XiIxWKw2WxkA80aw6dPn4ZGo4HNZkMqlUJPTw8MBgNGR0dx/PhxrK2t4f7774dcLidYkM1RNr+4C3QpqYI777aamxsbG780b3+VU+7tMD5e9H9Ng0vzupUo5Fa7Prd64KoGt8IdS08IpayEfD6P119/HcePH8c3v/lNfPrTn8bq6ir++Z//GR6Ph+CfoaEhhEIhyOVyrK2twWazYXZ2FlKplKwKBAIBampqUChs+pt/73vfw+XLlzEyMoK2tjZiSDidTgSDQaTTadx999146aWXKH6xvb2d6HiBQIDgGa6xnE6nI6dKu91OVsvLy8tEGw2FQti7dy/y+TxGR0eJR76xsUH00Lq6OszOzsLhcMBkMmFoaAj33Xcf3nnnHchkMnR3d+PcuXOorq7G5OQktFottm3bBofDAY1Gg6eeegqNjY0kCltbW8PnP/95Ol3l83mEw2FcuHCBdAhVVVWYmZmhSjmbzVIjmoWhZLNZWK1WSsQqFAp47bXX8K1vfQujo6MUdWi1WpHJZEgXwSwOGHMqGAyiUCjAaDTinnvuwalTp+DxeFAsFqFUKmkTrampIdaNQCCAwWBAX18f5HI5jEYjRCIRhEIh7HY7XnnlFbpfy8rKsGvXLjQ2NiKTydD9zGw2BgYG8PDDD+Pll19GV1cXWltbEQgE8Nxzz8Hv94PP56OjowPz8/P02bATndFohMViweTkJCoqKrB3716ibj777LMEMzL7D66KVqFQ4L777oNEIsH58+exurpKLqYKhQLl5eU4ceIEdDodzpw5A71ej7a2NlgsFuzZswdyuRwrKyuoqakBAGJ+sUU5m82ioqLil4ovrg0FsDXcUzonuevB7VjlAx+86H9sw/AhB/uAS4/K7PjHjVxjGwC3CmDP4zZnuY+xv8FuwEQiQVVL6RGTz+eTNP2uu+5CPB7HX/zFXxDuunPnTvzgBz/AZz/7War6GSOIMVoKhQKUSiUikQhZIqfTaVRVVZESkgzF4I8AACAASURBVC1exWKRqJSMTsjCzDUaDVE6WRUfDAZRUVFBsE4gEEAymaTGnVwuJy59OByGxbLJ6j1y5AhCoRDcbjcxdIxGIxYWFig1y2azQafTIRgMoqamBlVVVYTPt7e3Y2JiAkKhECKRCOl0GplMBhqNBj/84Q/JV394eJiiFHfs2AGZTAav14vnn38e4+PjFN7CAmoYW4vBMsVikXJgWe+FnUQYM0sikeDf//3fKSdYKpWS+Iqxm8rLy7G2toaHHnoIIyMj2LVrF12nsrISV69epbxf9nxmY8wNq+Hz+VhcXKSGfyaTwdGjRyEWi/Hyyy9TT4A5tKpUKnoug9MqKiowOzsLm82Gs2fP4oEHHiD4bWhoiDyITp48idHRUTQ1NZGdBbO8WFtbw/r6OjKZDPVGRCIRhoaGIBKJsL6+Th5P6+vrRDKQyWQIhUKYm5vDoUOHcPbsWVRXV5MluMFgIIX0+Pg4HA4HDAYDPve5z0EkEmFychIvvvgi6SWYwyc3qY7NXS4LrhTzZws+95TAWD5bndJv1yof+IhtGD7KcbtV+mxstetzbxCGNTMl7FbS762+53qGcGlnXHpYPp/Hs88+i66uLrID4PF46O3tRS6XQ1VVFb761a/im9/8Jr797W+jo6MDy8vLyGQy5LpptVqxsrJC2bDspn/wwQdJsHTjxg1YrVZIpVK89NJL2Lt3L5aWltDV1YWpqSlYLBZMTU3BaDRS+MZPfvIT4sJzex3ZbJa46LW1tUin0yQAE4lEEIlEMJlM2L9/P6anpxEKhSi8neUBKBQKWoAXFhZQX19PHkGzs7MIh8P095LJJHQ6HeLxOFFq9Xo9MYDYBt7Z2UlMmmKxCL/fj9raWjz00EM4duwY9u3bB4VCgWg0SgZqbFFnXkLM8EyhUMBoNFJiGLOtqKiogFarJTZTW1sbsXUuXLiA+vp6okPef//9EAqFuHr1KkZHR8mtks/nk20C0ywUi0Vs27YNS0tLdJpiVEamO2CnI+aieeLECcRiMfK9FwqFSCaTlDvA7Kr37t2LGzduoL6+nprn6XQaqVSKmvksAYz1gkQiEUZHR8kTyul0Yvfu3bh27RpBcABgNBopu4D9vtlsxvbt25HJZLC6ugqz2Uz/n9XVVXR2dhI9k/WZmGpbLpejoaEBDz300E3kBwbNsF7RVnh+oVAg+GYrcgYTcnEVuh8092+n8VGKs/6PHLdS7gHv0znZosd14OPebFt9D7xvnQwAly5dIiuF+fl5Ehg5nU488cQTUKvVRBvr6uqCw+HAxYsX0djYiD/8wz8kvxmBQEAq2HA4jLm5OTidTqyvr9PfV6vVmJiYgEAgwOjoKNra2qDX67G0tIRPf/rT4PP5MBqNuHz5MiwWC2ZmZtDd3Y3l5WW88sorOHv2LDo6Omii2O12lJeXo6qqCq2trWQHzXoMrNnb3NyMY8eOoaGhAUqlEouLi9Dr9fD5fFhaWkJnZyctXswXqLu7GzKZDCqVivJaWVA7Y9wkk0nCoCUSCWKxGNnwMqWxXC4HAOKYs9Srf/qnf8Kbb75JzB52QmKpXGKxGCKRiALc9Xo9UUybm5uRTqcRiURgNptRVlaGWCxGkYNXr16lUJf9+/ejrKyMEsr+/u//Ht/5znfItZRpFJixHUtw4vF46OzsxOLiIurq6lBbW0uBJgwKyefzRNN1u92QSqV4/fXXUVNTQ4K3+vp6bNu2jcSB165dQyAQwJNPPgmXy4WRkRGMj49jfHwcgUAA6XSaDOHOnTuHdDqNgYEBpFIpWK1W7N27FyKRCC6XC1qtFrFYDJ2dnTAajYhEImhqasLzzz9POgCxWAyJRAKpVIrBwUFMTU1BqVSiqqoKTqcTgUAAKysrZP5nNpsxNTVFtt+M4jswMEDeTly/fW46VmmTllvpb7Xgc2EergXLVtj/7bbg/6rxcaX/IUfpbr6VFwd33OrxWzVp2XGUe4wcHh7G9PQ03njjDXR1dRGdzWw2Y21tjXj4Wq2W+NZf/OIX8fzzz2NlZYXsgovFImpqanDq1CkKM8/lciSoYpPyRz/6Ef71X/+VWDTLy8tQq9XweDz47d/+bWi1WrzxxhvQarVYWlqixZOZciWTSezatQtnzpyBz+ej6ryxsRHJZBIajQaXLl3C3r174XQ6KSVLKBTCaDSSRwuPxyNmyvLyMhQKBaRSKcbGxgiPV6vV5K3/wgsvYG1tDXv27MHVq1cpCD6VSqG5uRmDg4P0PkejUaK3KhQKaDQaaLVaDA8Pw2w2E+MjmUxSdVtVVUXOpKy/ksvlyD+IWUzw+XzC2wuFAsLhMMRiMeLxOLLZLA4ePIipqSnqB/B4PIJImL8PEz6xhZRZaLANihnIqdVqmM1mSCQSOJ1ORCIRlJeX4zOf+Qz5/KdSKXLuVKlU2LFjBywWC4LBIF555RUcPXoUb7/9NjG2mMpaLpdTo/yuu+7C4OAgBai4XC6CXoLBIBYXF3Hs2DEEAgHY7XYMDQ1hbm4OCoUCKpWKILy5uTk0NjbC7/dDo9FAoVAgl8sRRZfFSqbTaQoCYklhx48fx8zMDMRiMZqbm7G6ugqj0UjXLBaL+OQnP4mXXnoJbrcbf/ZnfwaDwXDLqpxt4kxTUrpol7LyuJTsWzH2breF/+NG7q9hcLn27MNnTdYP84Fz7ZbZ99wjo9/vh8lkwtTUFGGcVVVVePLJJ0l+z3BrHm8z//Wtt96CXC5HLBbDl7/8ZZw7d44gIrlcjsHBQbS2tuLixYvkucOO2uXl5VhaWoJCocCjjz6KpaUlBAIBYokwiqbVasXS0hI1IpkXvclkIntlrVZLNg5+vx8LCwtkRavVammiLC0tIZVKQaFQoLm5mUy9DAYDEokEBAIBqqur8corr+D+++/HM888Qz40i4uLcDqdUKlUFODBzOOY4+Obb76JPXv24NKlS4jH49DpdDAYDBTtWFVVhbGxMXr/uUIiuVyOUChECxALpykWi+Q+KhQKkUgkKMBdqVRSP4Ephvfv3w+v14tQKISmpiYMDAyQpoBtGna7HQKBAB6PB42NjfR6mCEZj7cZcs9yc1n1y/oma2trUCqVtCGw04JKpSIIrKKiAhKJhIoO5nHPYDo+n490Og2/3096h2QySVYaPp+PekRVVVWUO+zz+bCwsACpVIoDBw4QXJNIJNDe3o6hoSEYDAZ6vcxkjs/n48c//jH+8R//kWiYer0eq6urlOZVXl6OQCCA6upq7Nq1C2+++SbuuOMOBINBiMViFAoFYh7V1dUhk8lgYWGBPPiBzQV7z549aGxshFgsxvr6+k0+Rkzgx94j7jzkLt6lFM6tWDzssdttwQc+hnd+bYO7aLOG61ZVAvdfNribA3ezYJSyvr4+nDp1CqlUCouLi3j99dfx7W9/G/Pz86isrMSOHTtgs9kwMTFBnvTM137Pnj348Y9/DLPZjKWlJaytrWF4eBgymQxnz57FyMgI5HI5LRAHDx7EysoK7rnnHtx7770QiUQIh8Nob2+HUqmEy+WC1+slHLa2thYOhwO1tbVYXV2FRqNBTU0N7HY75HI5ampqkEgkMDY2hvn5edjtdlRXV0OtVhOm73Q6iW7Z0dGB3bt3IxaL4c4774TJZEI0GoXT6cRPfvITjI+P480330QsFgOPx8PMzAy9PkY7ZMwc1hN45513aCH8vd/7PeTzeczNzSGRSKCzsxMCgQCLi4tEqywrK4NKpYLVaqXGeSAQQLFYxPj4OIms1Go1LBYL8vk8xGIxrFYr5fUy90qDwUA+RGNjY4hGo5DJZLh69So0Gg25cbIFva6uDoFAAMeOHUMsFsPU1BSdXuRyOWQyGYRCIdEsi8UiVldX4XQ6IRKJcPfdd1O1zZK3WBwiO4mwk6Pf74fNZoNcLsdXv/pVrKyswGw2Q6PR4P9j78yD2z7PO/8BQOIkAZLgAR4A7/umqFs+JMW2ZDtx4ituE9s5nPSYyWbb6Ww73U5nZ3en22632aSTbTd2E8dNsk4cWbZsWZJtyZaskxIlSrzvmwRAEicJkiBBYP+Q32dpRfEeSbbKjN8ZjyWKOgjw977v8zzf7+e7c+dObDYbNpsNr9cruANVmayvrzM/P8/IyAiBQEAqMCXzfPXVV3nppZfE4a2McqFQSNo1c3NzLC0t8a1vfYu//du/xWq10tHRQUNDA2lpaeh0Ok6fPk1DQ4OwmmKxGKdOneK+++7DYrFI5rG6SKgZVW9vL5WVlZKX3NXVRXl5ORcuXGB2dpasrCzeeOMNbDabPINqI1cD280f23wB3lyhqxnbZqzDZrjib9v6RL3zf7hufXP/d9LMzUqezbeBW9s7Snuvbp3T09O88soruFwuenp6qKysJBgMivt2+/btZGRk8N5770m6kjp81C1PKSQUZTIcDuPxeNi7d6+oMZRUcmNjg8uXL+Pz+SQ1a319XVQYHo8Hp9NJW1sbnZ2dshnm5eWxsLBAdnY24XCYyclJDAYD999/Pzdu3JAb8+joKDk5OVIplZaW4nK5ZIgcCASIRCIMDg4yPz8vSpnl5WWJWlxZWaG2tpbe3l7sdjvr6+tiTOvt7cXhcIgM1uFwcP78eZqbm8nOzqaqqkpkkKurq2xsbNDc3MzKygrr6+uEw2ExMSkonMlkIhQKsbGxQTgcZnFxEZ1ORyAQ4Itf/KJUZwpPrNhDiki5uLjIxsYGJpNJbvjKEa0C5j0eD9PT0yQSiY+gL1JTU0X7rtFoJHhdSQtVloDCTKu5zdTUFBsbG8LLUcNwNVRVcwaVOAY3DYHnzp2Tr0Ov10u2Qnp6Ol6vV5LAVKCLXq+XWVAikaC8vFzkugBDQ0OYzWaGh4cFqFdQUMDRo0fR6/UEAgHS0tLo6+ujqKiIrKwsMjIySEtLo6KiQqpBVeUMDAxgsVhIS0vj2rVrZGdnY7VamZ+flwzg5uZmhoeH+cxnPoPFYhE0Q1lZGc3NzR+peNSheKtWX63N/fvNzCsFQfy/rfD/pdYn6p1/gbXZaKVuFUqXfLsyUZEJlWrj7bffFlNVamoqDQ0NzM/PY7fbWVhYoLy8HLfbzZUrV3jyySc5duwYRqNRTD9dXV3k5OTQ1tYmN7nFxUWxlKvIwWg0ysMPP4zf75f+8MbGBrOzs4RCIdF2R6NR0tLSKCoqks1IVRypqanyAHg8HsEKWywWtFotFy9epKKigtHRUZECqnSp4eFh8vLySE9PlwB3NShdWVnB6/USi8VEpbRt2zbeeOMNkTaqf59er8dqtZKbm8vly5elLaR684lEgsrKSlZWVnC73WRmZjIyMkJKSgp+v1+kqptNXA6Hg8XFRUnZ2uyxSE1NJRKJsGvXLvr7+yXZy+FwUF1dTU9PDwBtbW0iPzWZTGRmZrKyssLQ0BBw0wGtkqZyc3Pp6ekhJSVFlEkWi4U9e/Zw4sQJqWoKCgqYmpoSF7eS5KpDPJFI8Bd/8RecOHGCkpIS+ZojkYj0up1OJ/Pz87z11lsy21A+AaXAUv6KzMxMysvL6e7uxuPxEIvFqK+v5+rVq2RlZUkrRymJvF4ve/bsERyH3W6nsbGR0dFRiouLmZ6eprCwkIGBAZF5qrB7RYCtq6vj+vXraDQaRkdHSUtLY3FxUVAVLS0tzMzMsLi4yMDAADk5OfzxH/8xL7zwAjU1NTQ1NUkSHEB9fT1VVVXybKpN/5fp8tXnKTLn5rhT+EW2z522PtHp/39Y6htpc/tnM/Hv1luBuuFrNBqWlpY4dOgQ7777Lj6fjwsXLqDVahkYGECj0Uh6U1FREe3t7dKKGB0dxWAw0N7ezszMDDk5OXLLqqiooL+/n9zcXOndKmepkuspKaJGo6G4uJje3l65SSosswq3yMzMlJ6oyk0tKCjg2rVrBAIBkpOTKS0tpby8XCz1VquV8+fPU1lZiUZzk4nu9/sJhUKYTCZqamqE1Ol2uykvLyctLY3S0lIZOMLNUjwSiVBbW8vY2JjIJdfX12WArNfruffee3nzzTfJy8sTZ3FVVRVra2uCB1avvQoLL/owEOXKlSsfKfkTH5JM9Xo9wWCQ3NxcotEor7zyCu+9957IHt1uNzqdjvLycrKystizZ49EOba1tVFYWIhWq2Vubo4nn3yS3t5eQUKrIbvJZJJZTE1NjWQKK226imJUsySVqRsMBqXdtbi4yPe+9z3eeOMNHn74Yfr6+ti/fz+XL1/mxo0b5Ofn09jYyPT0NCaTiZycHJ5//nlaW1v50z/9U9544w1qampkY43H41itVvLy8qiuriYvL4+TJ09SUVEhA9jk5GQxQNXV1UmAj16vx2azMTk5KdnM0WiUsbExxsbGsNlszM3NsbKywkMPPURra6vIQNUwt7u7WxzZAEVFRczPz1NWVobX62V4eJitW7ei1+t59NFHicViTExMMD4+zoEDB3jyySe5du0aRUVF3HfffWRnZ8uzp9RKm5/P2y3VzlWvu2oFbf74nbo+7qb/SU//V1hqwAMf7dlvLhHV2ox+3Wzw8nq9HD58mIceeoi5uTna29vRarUMDw/j8XgoKipCq9WSl5cnsXmtra2kp6cLeEzdvGZmZlhYWKCnp4e33npLDFhLS0uEw2FxuKpv4MLCQimvL126RDgcZmlpiVgsxujoqJTqq6urWK1Wtm/fTk5ODllZWXR0dPD2229TXFxMVVUVubm5aLVakfMNDAxw7do1HnnkEWmRPP/889jtdhnM/vznP8fr9UorAm6GrigXcWNjI83NzTz66KNUV1fT1dVFdna2vLZFRUWCLFAZrgpjkJubi9Fo5NChQ3R2dgoUbXR0VGYVubm5kkWgKJfxeJypqSkxx2m1Wmw2Gz6fj7q6Ov7mb/6GtbU1qqqq+Na3voXZbBbUweDgIP/9v/93McW1traytLRERUUFmZmZHDp0iGAwiM/nY3l5WXj0ZrOZWCxGeno6q6urOBwOotEo6+vrmM1mea8VijkWi7G4uCgSVYfDIT39wsJCXnvtNTGOqQFsamoqr732GgDj4+N8+9vfRqvVUlVVxR//8R+Tk5PDwsICWVlZzMzMiIRW8fU7OzuxWq1isEpNTSUWi+F0OiksLGRxcZFdu3YBCOpBbeZbt26lra1Nqh0VkPLoo4/y7rvvkpuby+zsLF6vl+TkZMLhMNXV1fj9fjweD0lJSTz++OOcOHGC73znOzgcDg4ePMj58+fJy8tjeXlZ0spaW1t5+OGH0Wg0fPWrX2XHjh0f6cVvbr9udsn/sud783OsnuE7dXj7f7o+ae/8CmszJO12luz/nU1bkQB1Oh3t7e1MTk7y9ttvU1ZWRnd3N7Ozs7S0tOB0Ouns7KSiogK/309aWhrBYJBIJEI8HicUCkno9fz8PCaTSVyu3d3dGAwGweRarVbW1tZ45JFH8Hg8LC8vC2agv7+f7Oxs1tbWmJiYkACW7OxsGhsbefPNN6moqECn05GcnExlZSUTExPCxDl//jx6vZ6WlhYJSFe8+OLiYi5evMiWLVsYGBigrq6O3NxcLly4wMLCAk8//TT9/f309fWJy1i5UHU6nYSv2O12yQ84evQoiURC2PC1tbVMT09Lj3h0dFRaAEpTvzleUbVzlPxQDetUpKOSFapWS2ZmJsFgkLS0NACROSpVTyJxM/z80qVLJCcnk5+fz8zMjLibVcD80NAQTU1NXLx4kZqaGgG9zc7OyqGWkZEhbapYLIbP5yMnJ0fMZikpKfT09JCRkcHMzIyAxjIzM7HZbNTX15OcnIzP52NkZISCggKsVittbW3CPFKqooWFBfLz80lJSeHq1auCz966dSs+n4+5uTmqqqo+Yljq7u4mkUhQVVVFT08PtbW10qpaW1vD5XJx5swZcRtv27aN+fl53G63qL9OnTpFcnIy27Zto7Ozk/r6ej744AM8Hg/l5eUMDg5SWlpKeno68/PzEu+ZnZ2Nz+cjLy+PgwcPimnwhz/8IT/4wQ9wOBwfMTWqNuDmG75am2Wdm1uxH3eT36zm+WXcnn/p9Yl65zewVE9vs81bfVwdpJsHQrcuFbyiPmd8fJzBwUHW1tbo7e3FYrFw//33o9fruXHjhgC9ysvLGR0dFc5Keno6Op2OiYkJpqamBLT1wAMPcOXKFTIzM2lqaqK4uFhUHBkZGUxPT0sAeXt7u0Cu0tLSaG5uFhdpOBwmHo/zwQcfsLq6yszMDBaLhezsbCnrJycnxRH83/7bf+OVV14Rq7/FYqG6uprBwUEcDodw+69fv85rr73G2NgYxcXFjI2NUVhYyD333INer5eNR6VHOZ1OwuGw6NzX19f5sz/7M0pKSlhdXeWuu+6ipqaGtbU1AoEAc3Nzkh5mMBhwuVyissnMzKSsrIzFxUUCgQBer1cGogotoTb8jY0NLBYL+fn5LCwsyHAvKytLcAPJycmiMAkEAvze7/2eKGd0Oh12ux2NRsPAwAC9vb1kZmbS09PDtm3bJERGafGVMkiv12OxWNi9ezeTk5OYzWaRjup0OhYWFjAYDAQCAf7gD/6AtbU16uvr2b9/v2Co3W43RqOR2tpawuEwCwsL1NfXy9egqgc18+jr6xO8wr59+3C73czOzlJRUSHpXNXV1cBNzERSUhKpqak8/vjjknilXNwbGxvk5uZy7tw5YrEYk5OTRCIR3G43LpdLxAler5fjx4+zZ88ejh8/TmNjI62trYRCIVwuF0tLS6Snp8thqGIud+zYwezsLENDQxgMBo4fP85zzz1HcnIyw8PDDA0NyaatNnxVgauD/dZnc3NvX93ob7fU790Mc/ttWp/09P8v1uaybvP0f/OUX90Qbi0jb8f0Vr8OyM2utrYWo9HI6OgosVhM7PHr6+tcvXqV2tpaYdibzWbOnTuHRqOhoaGBqakp5ufnWV5epq2tDa/XK7zyjIwM6U83NjaKyqGlpYXOzk4KCwuJxWJ4PB5pSRgMBv7gD/6AtrY2CQUxmUzs3r0bk8nESy+9RH9/P5/5zGfw+XwsLi7S3t7O97//fSnrf//3f5+KigrOnz/P6uoqPT092Gw2UlNTcTqdAsrKy8vj+PHj/Lt/9++YmJjg8uXLgkJ+/fXXZUOdn5+XW7vq36thscfjYdu2beTm5nL16lUGBwfJzc2Vr2diYkKs/8PDw9hsNrmtKSNRJBKRfN3s7GxpL5SVlYlkMD09ncHBQfE8hMPhj8xUlPkqFApRXl4uw2iv10taWhrhcJjt27cTi8UwGo0Cgztz5oy4mVXl5/F4WFxcxGQyEQ6HBVNcVlbG9PQ08Xic8fFxioqKqKurIxQKsXfvXnw+H11dXZIApvr4N27cEN6/uu0vLi4SDof5yle+Iu2iy5cv89xzzzEyMsL09LRkGFdVVfHGG28IWqO3t5crV64I4C0ej4sbe2NjA4fDwczMjDwvY2NjIsWdmppCp9PJz5UkVrVR9u3bx4kTJ8jPz+eRRx4hNzeXubk5tm3bxvLyMv39/YRCIZxOJ8FgkLW1NQ4fPozX6+WDDz7A5XKRkZHxkVu7YhOp/vxm6fStz7ZGo/lIq3azT+d22v47aX2i3vk1rdu9wbdKNG/9uCqHb/39m8vMlZUV/vN//s+YTCYZUF66dInl5WVaW1txOp0MDw/LILapqYnTp0+Tk5MjUkOlVx4YGKC8vFweuvT0dFHa9PX1kZ2djc1mY319nb6+PrH6Ly4uUlBQgNlspri4mMXFRYFZLS0tYbVaASRLVm1iDQ0NpKSkcOXKFbRaLUajkXg8TkpKCvF4nKWlJYaHh7n33nulkvnmN7/JjRs3yMrKwmg0EggEyM3NJS0tTQxIyhG8ZcsWTp8+jVarpaioiLW1NbKysnj99ddxOBzE43FxnSpImkqHWlpaksG2AssFg0GSk5NpaGhgcHDwIwHwCuSm1d6MekxNTRX8gDpYFSd+enqa4uJivF4vpaWlrKyssLCwQFlZGX/+53/Ov/k3/4ZIJMLU1JSof7785S/zk5/8hD/5kz9h69at/M7v/A4HDx7kO9/5Dnv37pUs3LGxMVwuF0ajkUcffZS///u/lxSyjIwMMVOpG6vVaqW4uJgtW7bIoWa32wX5kJyczBNPPMH8/Dzt7e0kEjeTxPLy8hgZGZH2SXV1NcPDwyQlJfHjH/+Yxx57TGYKgUCAhx9+mCNHjlBcXEwwGBRF1/DwsMwvlLorLy+P06dPS6uxra2NoqIiysrKhDLq8Xh4//332b9/P16vl61bt0oWcEFBgQgF9u/fz+TkJA888ABnz55l27Zt2O12Ll++zMrKisysLBYLicTNiMtdu3bR3d0t2A5VvWRmZnL27Fnuvvvu2zpu1fplKruP2wvupPWJI/fXtG7FI6sff9ybv7nnpz731p7h0aNHWV1dZWxsTHrLa2trhEIh7HY7brdbqJQvvfQS0WgUq9VKfn4+Dz74IJ2dnXR0dPAf/+N/5Mtf/jI5OTnizszPz6eoqAi4iZvt7e0lKyuLYDAojkhFwlxaWsLv9+NyufjSl77EoUOH8Hg85ObmCkPG7XZjMplISkpiYWFBvi41fFVKlETiZuiICg5ZW1ujtbWVgoICcnJyMBgMzM3NYTQa6enpobm5mY2NDQknr62tpaamhu9973s4nU42NjYYHR1l3759dHV1yQHmcrlYXV2VQazqQRsMBkpLS4WZH4vF8Pv9ZGRkyC1XDSaVv8FischGmpWV9RFIm8FgwO/3y0GjYHHnzp2TQ1WFriwtLUl15nK5mJiYoLCwEJ1ORygUoqamhjfffJPGxkasVislJSU4HA5efPFFXn75ZU6cOMH777/PwsICfr+f7du309fXJ99LOp1O9P/Jycns3LmTrq4uWltbyczM5Ny5c6Snp8vrsH37do4cOUJ2djYmk4nh4WFpqakDzul0cvHiRbTam2li8/PzfP3rX+eVV16R2MmCggI++OADkpOTKS4uljxjlaymJLwK8ma325me3iNvcgAAIABJREFUnhaZ6uLiosw2tm7dyhtvvIHVamVkZISqqirKy8s5efIkzzzzDIcOHcJqtWK1WhkeHmb37t2CB19ZWRFqqE6nw+fzsWfPHr773e9KRbaxscFXv/pVAoGAfK9s3bpVZM0ul+sXns/bPbcf93x/glb+Daw7rb2zubTb/DH4RcXO5lvE7Vgdmz9nbW1NwkMWFhakr19TU8PS0hIajYZgMCiu09XVVbRaLcvLyxw9epSRkRE++9nP0tPTQzgcZtu2bTz44IO8/PLLElvY1dVFOByWga/H45FUpMHBQbxer8QMqmARxXsfHx8X3f3BgwdxOp1kZ2dTVlbGzp078fv95OTkSECL6o/7/X4yMzOJRCJkZWXJEDUnJ4ehoSF0Oh3Xrl2jubmZ9PR0enp6GB8fp7S0lJMnT/Laa6+Rnp5OWVmZRAy2traK7t1qtXLmzBnuueceurq62LNnD6dOnWLnzp2iZlHhGmozLy8vZ3p6mvz8fHw+Hz6fD51OJ0Ne1dZR79nk5CTJycnMzMxIiMng4KBkC6ieeFlZGb29vaLmUQHuKysr5OTkSHVQX19PR0eHvBYejwetVsurr75KQ0MDJ06c4I/+6I+YmZnhH/7hH7h27Rqjo6OywSgNv06n45577mF4eBi3282OHTu4fv0677zzDvF4nJmZGeLxOE6nk/b2dhn4Ly4uCnK6sLCQxx9/nIGBAfEpPPzww0xNTeFwOCgqKpIsgO7ubjHgBYNB8Qk4HA6ys7NFclpYWMj4+DgWi4Vjx46Rk5NDeno6hYWFXLlyBZPJhMfjYX5+nnvvvRez2cyZM2cwmUxYLBa2bt3KO++8g9lspqKigrS0NCwWC4ODg+j1epGyRqNRnE6nxINevnyZhYUF7r77burr65mamiIpKYmuri4xqK2srEjEZVNTEz/96U/Jysri5Zdfxu12U1RU9JHAo4+r7OGXGzTvhPVx7Z1PNv1f07q1b7/5ENjcK1T/V7JJAKvVyvPPPy8uUJ/Px9TUlMDOcnNzxShlMBiYnZ2Vz0tKSuI//af/xHvvvUdLSws+n4+1tTVefPFFYZgnEgnJMg2FQoyPj1NTU0MkEmFychKfz8fOnTvR6XRSyiszjIpFVEEXy8vL2Gw2CdRQweYK86BWPB6XHmw8Hhdsw8zMDC0tLRKMUlNTw5EjR5iamqKvr48//MM/lCGc6oGXlZWJ8/XChQvCvcnLy5Nwb51OJ20BJRcFmJ+fJycnR27jqi2iEMs6nU568AUFBaSmporJSeUGJBIJ9Hq9pHmpW7QKItfpdAwODmKz2fgf/+N/ADdheVu3buWZZ55hYmKCffv2CV8Hbg7aQ6EQra2ttLW1UVNTw9DQEH6/n5/97GeEQiH+63/9rywtLUnkodVqFV/Fli1beP/992lubhY5qwK+JRIJUlJShPiZnp4u7t9AIMD999/P0tISgUCAmpoavF6vHLbvvvuuDKVnZ2dFCaN8KK2trTJEDgaDPPnkk0xNTVFYWChM/mg0KrnLPp+PjY0NCaZXQfN79+4lkUgwPDws86lgMMi1a9ckcMdut9Pe3s69995LdXU1b775Jrm5ufLMvPbaa6yvrzM1NcXIyAj3338/7733HtevX5eoRuXwVQN5xe03Go1MTk4yPDxMfn6+DNx7e3u5fPkyNTU1v2DGUj3+zZXBndri+WTT/w2tzeyNjxvU3s7avbk9FIlESEtLY35+nmg0yuLiIisrK0QiETEp2e12fD4f3d3dVFdXS3BFaWmphEyo24wypFy4cIEtW7bIDclgMLC4uEh5eTmhUAiDwUB5ebkcKtFolPn5eR599FEWFhYkWEW5ZH//93+f3t5e/H6/qGSGhobIy8tjbm6O3/3d38Xj8WC1WllYWECn0/GFL3yBzMxM9u3bx9tvv01TUxMajYYbN26g1WoZGRmhublZKotr164Rj8fx+XyYzWYxMC0uLooCw+VycejQIfLz8wXcpW7bZrOZwcFBotEou3btoqWlRRQfRqORnTt3cu3aNemDj4+PEwwG2bFjB8FgkKamJsbGxkQxorhCWVlZ4hZNSkrC5/Oh0WikN60Ohurqanbs2MHy8jK1tbUcPXqUgoICVlZWaGhoIDc3l9/5nd9hYmKCxx9/nNXVVXbv3s3U1BRFRUWSF2w2m9FoNFRVVaHT6QSxbbPZhIz6uc99jrm5OSYmJkTFpAiUSUlJ0mbb2Njgi1/8ooSd9/f3U1BQQCKRYMeOHRw6dEjC4UtLSwVboQQDymSlZiNqoKsCS+LxOIuLi0xMTPDggw9iMpm4fv066+vrgnZQbUHl5dixY4dw7k+ePInH48Hv9xOLxaisrCQSiZCbm0thYaFwh0wm00eMa0qiq2CFAwMDfOUrX8Fmswm9dGxsjPLycjn0FxYWiMfjpKWl0d/fL4PkrVu3sra2xqlTp8RXoYKHNlfzm4e8d+qGD58Mcn/j63aIhVtLQ/Xz29m+3W43//bf/lvuuusuwuEw586dk564GiLW1NTwwgsv4HQ6GRsbkxvqQw89JNb6UCgkjJQf/vCHFBYWUlBQIMaskZERMUcpzbUCfIXDYSKRiMQFGo1GvF6vYGjr6uok8cloNFJaWorT6eQf//EfKSoqory8nPfff182qnfeeYe8vDwcDgc7duwgLy8Pn8+Hx+PB6/Xy4IMPsry8zKVLl0TSOT4+zsDAgOCjFxYW+NznPse1a9dIJBICiuvv75e/78CBA8zOzlJaWkpnZyf9/f2islE0y9HRUerq6tizZw8XLlzA5/NJLvDGxoYcuqmpqQwODpKUlER6ejqtra0cO3aMkpISpqamqK6uJj09nb/+67/mgQceEMZRb28v2dnZ7Nu3D5vNJhun2+0WFo5qbdTX1wvMzmq1yhBVvV/qADGbzZSVlTE/Py9Vkd1ul2G1TqejoaGB8fFxCgoKSElJobu7m6WlJbKzs+Wm7nQ68Xq9aLVaMWyplqLFYiEUCmGxWETLrgLTy8vLpdWhcNy1tbWsr6/LEF+FpuTm5rJ161bp58diMbZu3cp/+A//gbKyMgDC4bAMoxV5dX5+HqPRKCqucDhMdna2qJ3UIVpfX88///M/A4gSTKncotEo7777LrFYjAceeIC///u/5/Of/zwOhwODwUBdXZ2wpUpLS/H5fKSlpbG6uipRld/4xjdoaGjgJz/5CQaDgYqKCurr6z9ykVPSzjsZvbB5fTLI/Q0tpclXpo/Ncs3bqXQ+7s85evQoOp2Oo0ePCuZXq9USDodZW1tjfHxcTEIej4fk5GSWlpZYWlriueeeY8uWLVy/fl0UMgUFBYyOjhIKhbjrrrvQ6XQSYKHkcC6Xi1AoxMTEhKR91dbW8pOf/ASLxYLb7SYlJQWTycTBgweZnJwUpU9lZSWHDx8WZ2Y0GiU9PZ3Kykri8ThGo1EiAJURSTk11Qbb09NDUVERVquVc+fOsbKyIjGGjz32GPPz85w+fVrMRHa7nby8PNLS0nj11VcpLy8Xtkx9fT0/+tGPZFialpYmh5T6N6pwdnUDLi4uJhaLib4fbsLSlI5cOY91Oh16vZ7e3l60Wq34COCmXn1ubo4nnnhCzElNTU3Mzs4K+2Zubo7U1FRaWlqYnJxk586dPP/886yvr5Odnc3+/ftFK+90Ovna175GRkYGJpMJg8GA2WwWQqpGczNEPDk5mU9/+tNcvHhRWoF79uzh0qVL4qNwu90yVJ6bmxPDmaKAKt6SgvmpA0Hd3uPxuPw7VIi64hZNTEwA0NfXh06no7W1lXg8TlVVFQsLC3JT/qu/+itpOTU2NuJwOOjr6yM1NZWkpCRSUlIAZMB/9OhRtm7dSkpKCtPT05SXl0uucygUIhaLCYxQVWVwM3BoZWWFAwcOCGq6paWFuro6AoEAP//5z6mpqSE5OZmJiQmqqqrEG+H1ejGZTPze7/2e5Cyow2rz2hyjeKfr8z/Z9H/Na3NAysc5cW9t5WyOc7t1XbhwgR/84AfC4lFOTFW+rq6usrS0JClKsViMAwcOCAv+9ddf58CBAxw5coS1tTUqKyuxWCxcunQJg8FAQUGBIB4U6tfhcLC2tkZjYyOdnZ3MzMzIQaYSrnbv3k0kEiEcDlNaWsorr7wiYDP1ACUnJ4vVPykpifvuu08YMUrrrm7WZrOZhoYG3nnnHbxerxiYHA4HPT09ovxIJBK4XC50Oh3T09M0NzdLyMmVK1fEB6CGpqOjo4TDYWZnZ0lKSiI5OZnk5GRMJhOxWIy0tDSZd6gNTh0i4XCYzMxMVldXWV9fp6CgQAiWMzMzEhSjEsyUJnxtbY2ioiKSkpL41Kc+JX1uNUNRainFwHe5XOzcuZO2tjY8Hg/5+fmsr68DSHXndDoZHR2lqKhIBsWqFacooYpXpFQ1KphE3Z5bW1vZ2NhgbGyM+fl5zGazYIuVe3dubk4Y+hkZGQIHVC0Z1d5qb2/n05/+NO+99x61tbV87nOf40c/+hHxeByXyyX/junpaUGAOxwOXnvtNfLz8wmHw9IOOn78OB6Ph8bGRsluLi8vJz8/X+Sd9fX1TE9PMzY2RktLC+fOnSMajXLPPffw3nvvYbfbJY5y8xxN8YzU16CIowDFxcXC/1H45ezsbPGeqM976KGHaG5uJjU19SNZuZtbser1ufVZv9PWx236vx21yh2wNr+56v+bhzqbbd/q128tBW+34asb1eY/1+Fw4Pf7qampoaOjg2AwSF5eHk1NTaSnp9PX10dTU5MMEoeHh9m2bRvt7e0yC1BuWovFQnFxMVeuXBH8QCKRYGlpSdo9p06dEhSwKs9VhOLq6iqLi4uCVM7IyKCkpIS8vDxJd+rr6yM3NxeHw8G1a9cIBoPcc889nDx5EqfTSU5ODmfPnuX8+fPE43H6+/tFXeLz+dBqtXg8HtLT00UKmpGRwb59++js7BTZ6cWLF1lbW2NkZIT8/HwuXbpEQUEBXV1dOJ1O4vE4mZmZ0s/OysoSRDPcZMIo9ZPCDyhT2vT0NHv37hXm0Pbt2xkfHycajbJnzx7a29uJRqPU1NRI9aHUSWtra5LO1djYyMDAAFNTUyQnJ7Nr1y5SUlIYGRnhpz/9KampqXR3d4v0Urlvq6qqmJ2dZf/+/QASSp6SkiKUR5PJJBz9vr4+UlJSGBwcRKfTMTAwQGFhIaurq6ytrdHV1UUsFqO1tZWZmRnBZKt8YpfLJa0kNegsKCgQ9lJWVhZer5fW1lZeffVV8vPzmZub4+/+7u948sknOXfuHIWFhYJJVkRTVYFt375dVFFNTU2cO3dOlFv9/f088sgj7Nq1i7Nnz/LCCy9QXFzMvffeS29vL2NjYzz99NN897vfxW63C0s/Go2KGqioqIhLly5J0lhhYSELCws4HA5WV1cB0Ov14irenFUwOzsrB6Hq9asKTkUxbn4eNz+rt97w78QN/3+3Phnk/l+sWwc3m9/wzSA1+F8D2s23gu7ubtLT039B559IJEQx4nA4qK+vFwPO2NiY9GDtdjv33HOPIIIDgQBFRUWYTCampqak1aHaLUNDQ0QiEUZHR8nIyJAhmFo2m42MjAzW19clMGRlZUW49w0NDXR3d4uEc2RkhAcffJBwOEwgEGBjY4PJyUkcDocgjc1mM9XV1fT391NUVMS1a9cwm810dHSQlJRERUWFhIVnZGQwMjIiua56vV7yZg8cOMDAwADT09Ps3r2bv/3bvxUkQEFBAbt27WJxcZHZ2VmpMnJycuRri8ViEmCiaJhws7eckZEhG4PZbGZ5eZmysjLxGCgN+vLyMllZWUQiEVwuF5OTk7jdbhobG3G73WRlZeFyuSgsLJRM2PPnz2MwGMjIyKCsrIxAICAIi9XVVUFX5+Xl8cADDzA9PS3c+dzcXDwejxBYCwsLPxJeb7VaOXjwICdOnODAgQNkZGTIpq/eR5vNRm9vr7TYVOpaNBolIyNDWjwq5nFjY0NMfKp1o4aosViMvLw87r77bsbGxkRJZTabuXjxIhsbG1y5coXFxUWZu2g0Gj71qU/R3d0ts4De3l6SkpLkEC4vLycnJ4fBwUFCoRDV1dWSRqYGz6qqURGaP/rRj/j0pz8tHomlpSVKSkpISUlhfHxcsNZKdFBQUEBmZibXrl0TZpEikq6vr1NdXY3FYuH111+noqICr9cr5FCVz3C7dbuN/05cn6h3fg3r1l69WpvpmWqp/vErr7yC3W5ncHCQ9fV1Ojs7WVtbY3h4mKKiIoaHhxkeHuatt97iwoULpKen8+abb9LU1MTU1BQ+n4+mpiZaWlrIyspi+/btXL58mdXVVZxOJ3a7nQ8++EAenomJCWZmZoCbG7pi8EejUQC5napepnLnLiwsyK1eJSS5XC5GRkZYXl5mY2ODbdu2odVq8Xq9QsZ0Op34fD7sdjvXr18Xho3FYiEnJ0ciGgOBgLRMvF4v5eXlbGxscPXqVZxOp1QTaqNyu93SqhkcHKS7u1teX4/HA9xsh6jYQNUSUyCv+fl5Ghsb8fv95OXlMTQ0JKwZjUZDWlqaoAJsNhu1tbXA/2q/BYNBxsfHhba5detWXn/9dSwWC3V1dcK/T0lJkWjI5ORkcnNzJUGssbGRqqoqRkZG0Gq19PX1UVFRgc/nY9euXWxsbPDee+9RWVkptEqVPayyAyYmJuQ1VO/N6Ogozc3N9PT0sLi4SH5+Pg6HA4/Hw3333UcwGJQ2mzpA1Kbf2NjI6uoqk5OT2Gw2jEYjS0tLAl5TMl11q1fIB1VtaTQapqenaW1t5fz582J002q1NDc3S0XS0dHB/Pw8gUCAYDBIKBSSQHlF80wkEgSDQSoqKjh9+rQkgClI3crKCt3d3ayvr4sL+8KFCxQWFhKNRhkYGMDn83Hq1Cm5+SsvhRp+K3CdyWQSzpX6fn3zzTfRaDT88Ic/5K677iIUCvHEE09gNBoFqLdZnbfZGHc7iu6dtj5u0/+V2jsajSYN+CegDkgAXwEGgJ8BRcA48GQikQhobr563wEeBJaBLyUSiWu/yt///3vdbuNXrtSLFy8yOTlJfX09dXV1vPjii+h0Om7cuMHY2BjDw8NCtCwqKuIf/uEf8Pv9kpiVlJTE4OAgCwsLjIyMkEgkhOWiJJA/+9nPKCgo4PDhw4LVVcgDpRQpKChgeHgYg8GAx+ORZKiUlJSPDNji8Tif+tSneP3110lPT8dkMjE4OIjFYhGQmNFoZGhoiPX1dYaGhqitrcXv91NaWsoHH3xARkYGGRkZ8sDq9XpisRhnzpzBYrFgsVhwuVyUlpZiMBg4efIkDz/8MIcPH6a0tFSGxSoIBW7qupOTkyUPNykpiYMHD/L666/LjV6n04nhSTmYq6uriUajXL16ldTUVM6dO0dFRYUoZZaXlwUlHAqF6OnpIS0tTWz5W7ZswW63c/z4caqrq3nqqad45ZVXqK6u5oUXXqC2tlYGuNnZ2ZLOFAwGxRuQkpKCz+fj2Wef5fjx4xw/flwCa1RM48bGhriD7777bux2uxwMx48fx2w2MzExIaa67OxswTMUFBSIbLCxsZHx8XExR23fvp2/+7u/o66uTuIglTkrEAgQi8UkdtJisYiMV4H8cnJycDgcBINBYSzV19fT3d0tA+pgMMjq6iovvfQSTqdTnNKqMklPT6e/vx+XyyWbt2obpaSk4PV6MZvNwtwxGo1861vfoqysDK1WKznNNTU1jI+PU1JSgkajobe3V1hNKiVMyY5LSkrk+z0nJ0eelfn5eSoqKjCbzXR3d6PRaCRUfbNxbnh4mJqaGp5++mm5nGx+3jcv9ewr497tPue3Yf2qx9V3gBOJRKIKaAT6gD8DTiUSiXLg1Ic/BzgIlH/439eBf/wV/+7/r+t2HG6A48ePi2LCYDDQ1dXFj3/8Y7Kzs5mYmOCNN97g7NmzMrjr6+tjeXlZ0MUejwez2Uxvby8XLlzgmWeeEaOQx+NhaGiIl156STTj6+vrQkB0Op3Sg1cZujabjc9+9rNMT08zNTUlGv65uTn0ej2pqakiofzxj39McXGxpFYpJ62K6LPZbDzwwAOUlJQI82VtbY0TJ07w9NNPc/78eVGJpKSkCHJBsWzC4bAMkjs7OzEYDJw9exa73c7U1JTowdXswWKxkJKSIqHewWCQjY0Nzp07J9gJBTwzGo2CFVDpRuXl5R85gJRhymg0UlNTg8lkEu5LRUUFLS0t4j5VqWGFhYUsLy/z4x//mPT0dI4dO0Z+fr7IGOFmGpbaPB0OBxsbG4LZzs/P5+233xZntZIfqmrAbDZTXl4u0s2CggKSk5PFB6Dw2GqOkp2dLZtwVlYWtbW1XLp0iY6ODlJSUpiamiIcDjM8PMxDDz1EPB4nEolI2IySCEciEfLy8khOTv4IZthgMFBdXY3X6yUYDEp2sEaj4d133yUnJ4fZ2VkyMjJkOLq8vEwikWDXrl309fURDofp6Ojg2rVrGI1GZmdnWVtbk6QvFXlYVlZGW1sbY2NjvPzyy5w5c4YdO3YwMTHBxMQEbrebhYUFrl+/Li5dVW0tLS0xNjbG1NQUbrebY8eO0dbWRn9/PxkZGXKQKHNVXV0dhw8fpqenh+XlZVJSUtjY2OCzn/0sxcXFlJeXs7a2xquvvipSZTX7UcN15bFRwgb189s583+b1v+zekej0ViBG0BJYtMfotFoBoB7E4mEW6PR5AKnE4lEpUaj+d6HP3751s/7ZX/HnaTeudWkodPpaGtr48aNGwQCASorK5menmZkZEQkicvLy5I3qzgqzzzzjOR6jo2N0dDQQFtbG1arVfTc1dXVaDQa6eVWV1fzzjvvSL7skSNHWF5eJhaLUVdXJ33xLVu2kJqayunTp9m9ezeLi4v85Cc/ITs7W0BoxcXF2O12gsGg3HSeeOIJvv3tb8tmsPlrzs/Pl8Pl/PnzaDQanE4nbrdb8NBJSUkiedzMJjcYDESjUUH7KnmjykpVjBTVIgBk2KdaRWrWocxjRqNRwkVisZhIUpV0LxAIAEhFo5gvSsbqdru56667ZJi3uroqjJ7Pf/7zxGIxXn/9dYxGoxyoSiaqNuPt27dz/fp1QWHU1NTIRqHyZIeHh+U26/f7KS4uFoSCmq187nOfw+12C/Pn5MmTACLHzcjIkNfNbDZjt9tZXl6mpaWFV199lbS0NHJycqiurmZsbIyFhQW2bNkCwKlTp/D7/RgMBrxeL/n5+RiNRoLBoPT1tVotLpeL3t5e7rrrLo4fP87OnTuZnZ2VCMXh4WEaGhpISkri/fffx26309/fLwdoaWkpaWlpeDwekdx+5jOfwe/3S+WjGP1/+Id/yLe//W05iLZv387Q0BCf/vSnOXv2rCCjVerZjRs3cLlcDA0NfWQWtmXLFtbW1picnGR2dpaGhgaWlpbwer1SkSkjWlNTk4ADrVYrMzMz7Nq1i/b2dhobG0lLS+Opp57C4XDwox/9iNTUVObm5uR77oknnqCrqwudTsfnP/95UU/d6Rv+b0SyqdFomoDngV5u3vKvAt8EZhKJRNqmzwskEol0jUZzFPjrRCJx7sOPnwL+NJFItN/y536dm5UALpdri9ID36nr+eefJy0tjfHxcTQajSRSdXd343Q6MZlMTE9Pk52dzcDAANnZ2XR2dorUTvHhZ2ZmsNvttLS0sLi4yMMPP8xbb72F2+0mGAyye/duzpw5g1arJRqNimlKKS6qq6vFyasydBUEKx6Ps7GxQWNjI1euXKGuro5r166xa9cugsEg77//Pjqdjr6+Pmn9RCIRqV7W19dF7x2Px9Hr9fL3KyOUunE3NDQwMDAgMsOnnnqK6elpLl68KDx4JbPUaDRiyFFOSRWUATfzY1dXVykpKRH87/r6uqB0FfNcbQZarZalpSX5GvR6PSUlJUKEVIM8VUHk5OSQmZkpffPk5GTm5uaYmZnBZrNRUlJCfn6+KKJyc3Px+Xykp6fj8Xik5VJTU8O5c+dEU55IJJiZmZHhtMqd3b9/P0ajkSNHjmA0Gnn66ac5efIkTz/9tDBzFDQuEolgs9mkxacUKhcuXKCkpIS+vj4ZoA8NDXHw4EFeeeUV8vLyWFpaYv/+/Rw5ckQOrkAgQHp6On6/H6vVisvlEnKrqoZUZnJqaipXr17ld3/3d+nt7cVoNLJr1y6uXr3K5OQklZWVdHV1kUgkBEft9XpJSkoiMzMTs9lMamoqpaWlTE9P8/7771NUVCTJWSrYPBaLUV5ezsLCAp2dnTz11FNi1lOO78zMTC5evCjB9gaDgby8PEpKSujo6JCMg7y8PKLRKE1NTczMzFBcXExWVhYDAwOCzVa8pc7OThYWFrDb7Rw4cIDz589TX19PKBSiqKiItLQ0urq6SE1NldfG7XazZcsWnnjiCXn271S5JvzmQlSSgBbgHxOJRDMQ4X+1cm7777jNx37hxEkkEs8nEonWRCLRmpWV9Sv8835zS7nzlLJFSQdV8MbRo0eJRqNyE3G73dIvVJb28fFxkcb5/X6ysrIwmUwkEglCoRD//M//TCQSkbxYj8cjigMVuFJcXCyStatXr1JeXs62bdtwOBwil1Mtm/X1dQKBgKgdIpEIfr8fv99PUVERkUhE2hRKAaGgYJmZmYJdVgHeVquVlJQUCWVRaOPx8XFCoRB79uwRvfb169eprKwUxYzJZPrIxq3UIzabTQauaWlpgo4IBALSRjGZTAQCAbKzs9Hr9ej1eiKRCGtra0LLjMfjpKamSjtsfX1dvA0Kp5yfny+cIYUxjsfjJCUl4XQ6RcJnNpvFT+D1erFYLHLDrq2tJZFI8MMf/hC/38/FixfJz88nFApJmplqWS0tLdHZ2cnp06dxOp3s37+fl19+mT179tDX1yeqIfU16nQ6otEow8PDMnjNysrioYceor29nSeeeEIO0fr6eq5fv85jjz3GI488AsD58+fF16EyiZeXl0lNTaWoqIhiHMlmAAAgAElEQVTJyUmsViutra0YjUb0ej1Op1NIq1lZWYyOjko8osqnVQlpqkWmZKYKUT09PU1ZWRmTk5NcuXKFM2fOkJmZKcyghYUFQqEQWVlZ5OTkCASuuLhYWo8qR2B5eZmuri5xjCskRTQapaOjg0gkQn19vWzmJpOJrq4uaYt2dnai1Wrp7u7G7/fT1tbG1atX0ev1NDQ0yGG1Y8cOent7sdlsxONxQTKrilSj0VBQUEBLSwvHjx8XifVms9Zv0/pVNv1pYDqRSLR9+PND3DwEvB+2dfjw/3ObPt+56fcXALO/wt//L7Y2f+Pde++9NDY20tHRwezsLAMDA/Iw+P1+4dJPT08Lj8bj8YjtHCArK4vc3Fx0Oh0Gg0E4I6pMXVtbkxu5Sp9SCUVVVVXYbDZmZ2f5+c9/ztGjR6mrq5PkJqVTr62tlYi7ubk50c5PT0+LXFD1LU0mE0ajkUQiIURGhVdWLZLk5GRSU1NJJBJYLBYZphoMBtLT0+nt7UWn00kGr9/vl5Sv6upq4cBvhoTp9Xrm5+ex2WzS9snMzCQejzM6Osq//tf/mubmZtH+q0pHtYFcLheJRAK73U4gEJB2m6qEVKLUn//5nwPQ29uLy+USl+i+fftYWVlhz5497NixQ4blqampuFwubDYbOp2O8fFxurq6JK3MZrNRWVkpypHl5WVycnKIRCKsrq5is9l4/vnn+dKXvkRFRYUkSX3961+X13rPnj1Eo1EeeOABvva1r4ln4uDBgxiNRoqLi6mpqaG4uBi9Xs/bb78t0kLVYrtw4QIvvfSSvIdFH4a+qwMRbnpFpqam5P2em5tjfX2dubk5yZzduXOnJHXt3LmT/Px8Lly4QFdXFysrK+zdu5fi4mJJJOvv76e+vp6VlRXBY6jhsdVqlQomLS2Nf/Wv/hUVFRXs2rVLTGGJD2Mmjx49yunTpwX/UFRUJGqaqqoqJicnWVlZkZhRJVHeuXMnZWVlzM3NodFo2L59O2azmYWFBfr6+qTa7uvrw+v1Mjg4iMvlEr7+0tKS+B8++OAD3G63DLrLy8vp6urC6/XS3t5OU1OTDHJ/GYnzTl//z5t+IpHwAFMajabyww/t52ar5w3g2Q8/9ixw5MMfvwE8o7m5dgChj+vn36lLJRUlEgkGBwf5wQ9+IKVibm4uu3fvZmJiQoZQql9fWFiIVqulvr5ebkFms5mioiJyc3O5fv0658+f52c/+xkjIyN4PB5KSkrY2NhgZGSE9vZ23G43Y2NjEnA+MzPD8PAwFRUVbN++Hb/fT1lZGcFgUNKIVBtJJUJtbGzgdDo5f/68sF88Hg9zc3OUlJRgtVpJSkrCZDJRXV1NXV0dW7ZswWKx0NLSIhCs9PR0Gc6pVo9KWPr+978vyg6lnAGkVXXq1CkmJyel520ymWTzU8lS09PTNDQ0kJaWJgaiv/qrvxKJ5OzsrPCEFExNmXAUesFgMEioeUdHBwaDgS984Qt0d3fjcrm45557cLvdHDlyhOrqat566y2p0JSLtLOzk9LSUmpra5mfn5eKS93ykpKSiEajooxRElc1OAyFQvzTP/0Thw8fFuyFms0AAklTapXl5WVRFql+fn19PTU1NbS1tfHCCy+Qm5srA+OVlRWOHTsmSh/VyrHb7ezcuVNmLapFpJy4fr9fNPFKsWWxWPD7/bS3tzM4OEhHRwdnzpxheHgYj8fDxYsXZdCq1+uJRqO4XC5isRilpaWittFqtVRWVgoHSFXAV69e5fvf/z5TU1NcuHCBgYEB4CZP5+zZs2RlZYmO3ufzcePGDdLT0+V52LJlC7FYTKpUm80mv76yssLa2hqRSISJiQnh7litVnbs2MH6+jrhcJhgMEh+fj6vvfYaw8PDjIyM0NPTg8vlYnp6mgMHDuB0Ojl27Bh2u51YLEZtba24tRXl87dto9+8fiUMw4d9/X8C9MAo8GVuHiSvAC5gEngikUj4P5Rsfhc4wE3J5pdv7effuu6kQa6a2sfjcX7605+Kvr2trY2cnBw6OjrIzs4mHA4LU1yn07FlyxYmJyeBm1yXtLQ0du3axeXLl7FYLIyNjQm/ZHx8XDTW8XhcIupUvqjVapUQbtVqUUHY6sZsMBik73rhwgW2bduGyWQiMzOTY8eOCe/e6XQyNTUF3NRGDw0Nie68uLhYhosqMctoNHL16lW0Wq1EOHo8HumRq56t6v0rJHB6eroEj9y4cQNAWh5zc3M4HA4p/xXydnZ2FpfLJewXtZF6vV7BJywvL/Poo49y+PBhoSYqJ3E4HCYvL08gYeFwGK1WKzA6RXM8fPgwgUCAb3zjG1itVpmPKKPQ1atX2bt3Lz/4wQ+EN9/c3Ew8HmdkZISMjAwWFhYoLi6WFkB7eztGo5G8vDw6Ojo+MgfYtWsXR44c4bnnnpODYWhoSLTkY2NjJCUlsbS0RHNzM/Pz87z99tuUl5fT09OD2WymsLCQpaUlCUpXB5FCQXi9XtLT0+ns7JT2mIptHBkZQa/X43A4pO2Vn5/P0tKS+CRUYHxRUZGA39QmXFpaSldXF1lZWYJrVlTMsrIy0d+rNDS46SxW3pHS0lIJw3E4HPKaNjY2EolEuHbtGhsbGzQ1NTE4OCiGttraWjweD93d3eTm5gqpMyUlReTFymj4wQcfyOGXkpIisy3V1hwcHOS+++6T7zulDBsdHaW2tlbS3IaHh2lra+OLX/yiqKEeffRR5ufn+eIXv0hmZuYdHZf4CXvn17BufXNffPFFtFqtGFBUP1tt3KOjo4LAnZqaYtu2bVKO+nw+JiYmSEpKYnJyUtQKvb29RKNRTCYTc3NzZGRkEAqFAOQ2qw6bpKQkzGYzX/va14R4qJywqg+t3I6KARQMBpmYmODJJ59kfn4evV7PyZMnRQK5vr7OY489xvvvv8/MzAyPP/44N27cYGRkRDa/jY0NQR1YrVZh3qvqQDFcFhYWpI2johpVwlJfXx8Gg0GwEHq9XiqXjY0NDh48KA+2csJ6vV7RuKsg9IsXL1JZWSmbZWZmJnq9Xg5cZTjTarWC6FVkzHg8LhWRIkoGAgEKCwsxGAxCxQyHw5SUlMhBo+BrGRkZoh5SLuPjx49TUVEhYSrK4KRIljU1NbLx7tu3j/HxcUZHR9HpdDQ1NdHR0cGOHTtoaWnhxIkTUuk8//zzBINBzGYz4XCYffv2YTQauXDhAk6nk66uLpFHPvvss/h8Pk6cOCEVnNVqxWg0SstGIZRVa09xinw+H8XFxbS3t5Ofn088Hmd2dlZUNna7nYaGBrq6ugAYGBigrKyMUChEQUGBaPTtdjvbt2/nv/yX/8La2pq06JQTuqioSHr2Cpug0+koKSlBr9ezuLhIJBKhrKxMLiNnz56VeY4SF6jfr3woa2tr6PV6JicnCQQC1NfXk5eXRyAQ4IEHHuCdd96R6kCp6xQUTw2N1WWqu7ubaDTKU089xcmTJ9m5cyd79uxh586dHDt2jGefffa2+8Sdsj5u0//Ekft/uJRGF5B+7sDAwEc0uz6fj2AwKJbu5eVlZmdnaWpqkluZYtYrFntqair79++X0HKFuFUxfsnJyQLbUsoWvV6PRqPhL//yL+no6GB8fJyysjLZvFdWVmRzU6lZ6rZWVlbGxMQEZWVl2O129u7dy5kzZ9i/fz8FBQVMT08DyFBrcnKSpKQkRkdHefrpp8nOziYQCFBRUcHi4iLLy8tkZmYKgK27u5u6ujphtXs8HlHLKM2zGsypvFrV4igoKMBmsxGJRHC73czMzOB2uyUgXklHlWNWcVRWVlbEW6CMXkVFRWRlZbGwsMBnPvMZhoeHJWBcKWqU+kKhLtQgV6lMkpOTmZ2dZe/evaJNT05OZnJyklAoxPT0tPR5R0dHuXHjBpmZmSwvLzM1NUUikaCwsFA06OrAUG5e5QrWarXiPFXZttnZ2SQSCaampkS2W1lZycLCAisrKwwMDJCcnExVVRW7d+8mIyODjo4Ojh49Kk5S9Rr4/X75/lS8H8U/ikQirKyscNddd9HR0SHOWQW6++pXv8rQ0BBbt24V+acavNfW1jIxMUFlZSUDAwMSgl5SUsLly5dxOBw8/vjjgom+fPmy3KJbW1tJJBIiw83OzpaWZEFBAc3NzRw+fJiZmRmSkpJwu92SY6yyFbZu3SoVhWrPqNAWpTRTMlDlAP73//7f8+CDDzI1NcXVq1eJx+PY7Xa+/vWv8+abbwqaYnFxUVRGFRUVMtNSz4G6AN6pN/1PMAy/xqXRaDh06BDLy8sSyefz+UT1oIiOm8O6MzMzaWtrIzMzk1AoREZGhmSRzszMiKVeDdUWFhYoLS0lIyODmZkZucHm5eVJopPC0DqdTmGZFBcX8+677xIMBrHZbExOTsrG43Q6BZKm4uZUKEZhYSFzc3NMTU3R2NgotznFbdnY2KC6upr5+XmRg6akpNDS0sKDDz7I6OgoS0tLzM7O8txzz1FZWclbb71FLBZjaWmJgoICotGo3OgUnEvZ4tfX17n//vtl81bYh4GBAZl7KNKnx+OR9pTX66W4uFiCThSds7S0lKmpKYaHh4lGo3R3d4u2OjU1lfn5eTl4VHtAkTctFgtGo5FIJCJ/ps1mIy0tjdzcXDo7O2ltbWV2dpby8nKeffZZOjo6mJiYEN68ard985vfZHJyku7ubu6++24uXbpEJBLh8ccf/wjVcmZmBoPBQEpKCr29vXz+859nfHyciYkJ1tfXRfeu9OOKVrpnzx66urrIz8/nnXfeYd++ffj9fgYGBkQzrzDcLpdL/CUKvKbT6UTLf+PGDb7xjW/w5ptvCr8/IyNDQlCcTicejweTyURNTQ12u13Q2G+99RYPP/wwXV1dVFZWinchEomIll8Z/a5fv47ZbGZ2dhadTsfY2BjZ2dmkpaVJe9Tv93Py5Em+8IUv0NXVxf79+0lKShKshsp5UGowrVYrvKHnnnuO0dFRgsEgzc3Nwk1yu93s3r2bI0eOMD09zerqKnv27OF73/seL774Ijt27GBxcRGLxYJWq5VZVVlZGY899hjxeJwHH3yQnTt3/oIb95NN/9e47qRN/9KlS5ImNDg4iNFopKOjg/T0dNL/J3vvGR91mbb9fyd1kskkk957JSQQQgtICCVUablZARVv1rJ2RcS1re66uuKqq+IquLLqupbFgqJI77CUAAmEFNJ7nfSezEySeV6417mB2/X5P/e9+zzu5+/1RoRJZuY3v7nKeR7H93B35/z58yIdNJvNBAYGYjKZmDt3LjNmzOD48eNSi1fKA7UDUWoBVbdWTbfAwEC8vb3x9PTEz89PUpXUTTY4OMjixYt5++23KSws5PTp00RFRVFQUCAESxVK3tzcLKlccXFxzJw5U6LmFP+lvr6epKQkiouL6e7upqKiQmSHer2evr4+3N3dBdBWX19PeXk5/v7+hISEMG/ePIxGIzt37mTdunUcOnRIdnaqLHHu3Dl6enpkkTMYDFI3VkHt3d3dEvzR399PXV0d7e3tgkBWUkoFyNJoNNLYdXR0pLy8nNjYWHH3+vn5AVwVFD84OCg7WlUGUrs2lVql6u5jx46lvLycvr4+YmNjqaiokNdx5MgRTCaT9EXa29spLS0lNDSUr776Ck9PTwG4eXl5kZiYyOTJk6msrGRkZETY921tbYLRUAjsmpoaJkyYwOHDhyUkXMk6Ozs7hW/U3t6Ov7+/pHOp+MfAwEDpETU3N4uPQPkqHB0dxUzn7OzM0aNH+elPf8rZs2cJCAiQrFklQ3V0dJRr0dbWRkhICLm5udx///2cP3+eiIgI4uLihJ2j7lV1zxuNRioqKsR9rTw46mciIiJoaWkhMTFRJMYKcqdQCn5+fnR3d4sqLSIiQtAVHh4e5OTkAPDMM89w+vRpFi9eLMC11tZWIiIisFqtjB07lubmZn79618TFBTESy+9hMVikYZwdHS0LIjt7e3s27ePm266SeB48F8jUn9I48dJ/58wgoKCOHbsGBUVFfT399PR0YHFYuHKlSsSwgzf4ns9PDxkElIRh+3t7dK48vLykjq3Ypf7+vri6OiI2WzGx8dH6pPqRJGdnU1ISIjAzhQ35fLly1LWsFgsItOLjY0VPomqRQ8MDODo6EhFRQVnz56lsrISLy8v6uvrsbW1lcmpp6dHjveRkZFMnjyZsrIyaR4qXbdq4k6aNEmiE1taWgSZGx4eTk1NDSaTiaCgIC5evCgmqtdff53du3czNDREVFSUNGKVMio0NBS9Xk9bWxs+Pj7Y29uTnJws8kP1XiwWC1OnTiUoKEjcplVVVXh7exMcHMzly5elLxITEyPKHxUUPtrpqUpQytswMjJCdHQ0dnZ26HQ6+vr6OHbsGMPDw5SWlnL99ddjtVrx9/fHYDAwMDAgEkq1kCjkQnBwMDNmzMDW1pa+vj5qa2txdnaWoJZVq1axc+dOmdRSU1MpLi7mwoULjBs3TsxJhYWFVFVVCZ/e0dGRkZERwsLCaG9vl8So4uJimpub6erqEhGAClZ3cnISN7TKGFCy4ba2NlavXk1lZaWUcvr6+ujv75eeglarRa/XU11dLQE3cXFxtLe3c+TIEcaMGUNFRQURERHCDVLxngpdMX78eCoqKsTQ6OXlRVZWFmvXrhWpbWRkpOzwtVqtZCWr0g0gjXsnJycaGxvlXlILszr1dnV1Cd1V/b6uri4yMjLYtWsXmzdvpqamRu47xZaysbGRsqaKVFQbDQVe+yGWeH6c9P8JY3h4mLi4OBISEhgcHOTgwYNyVFbGo+rqagYHB5k6dSqOjo5ERUUJ0dJgMODu7o6rqyuVlZVYrVbZpQ0MDBAfH8/+/fulJASI7risrExq3z09PVx//fUUFhZKk1TdgO7u7pjNZqFIVldX09HRIXhgOzs7wsPDpak2efJk4FsG/LFjx4SIqOSGCxcuxGKxYDAYxCQ0btw46TVUVFSIo3FgYEAmnNLSUmJjYyWTV8nl4uLipJna0tLC5s2b2bFjh8QLtra2Sm8iJCREdqhKRdLQ0ICXlxfNzc0EBwdLYLjFYqGqqgofHx9CQkLo6+uT51SMfWWuioqKoq2tTUpJHR0d0sRUJwX1fKq+XVFRQVFREdXV1SQmJuLq6kpcXBylpaUiXUxKSiIpKYkpU6bQ3NzMuHHjiI+Px9bWlqKiIkpKSvDx8RE0h729vZBCbW1tOXTokOCRPTw8KC0txc3Njbi4OGk8Krmnej+VlZVERkaSlpbG8PAwly9f5vLly3h4eBAYGEhJSQmRkZFyQmtqasJkMgngT/F8ent7RZXV39/P3r17RfXj7u4u5Zz9+/cTHR0tmx6VHezp6Ul1dTVnz54FICcnh0WLFnHgwAEKCwsJCAggOTmZWbNmUVBQQH19PT09PaSnp9Pa2kpWVhbz5s2jrq7uqtdZW1vL9OnT0el0REdHk5ubK9ejrq4Ok8lEV1eX4MRnzZoFQHR0NJcvXxbvx5kzZ0hOTmZgYIDGxkbc3NxEuuns7Mzx48fJz8+noKCA+Ph48diYTCaeeuopTp8+zdKlS3FxcSEzM1O4VD/UCR9+nPT/KUMBqhRvZsmSJezbt4/m5maMRqNI3gYHBykrK6O0tFQIiU5OTpSVlQnwqqqqCgcHB4muU5mjamHo6OgQo5RS6sTGxopCJTY2VhQ/aufW09NDVFQUN910E6WlpeTl5eHg4CAnE7PZjL+/P1euXJHnaG1tJSAgQJrPXV1d8h4Up6WiooLo6Gj2799Penq6EBAvXryIyWSS3zd79my6urrYtWuXSB89PT05e/YsQ0ND9PT0SP0+JSWFkydP8s4777Bq1SrhrasmnclkIiEhgZycHAnB9vX1Ra/XC+45ODgYs9lMeHi4KE1UnVr5CBSzpbKyEicnJ8kLGBwcZPr06ZSUlDAyMsKiRYuES69KRsp0lpSUJAucKouUlZURFBSEn58fsbGxxMTE0NXVJQElqrSk7ptJkyaRnJxMdnY27e3tclpQCWnqVODv709xcTHu7u4UFBRIw9jf35+amhrc3d0JDQ3l4MGDVP0t0L2vr4+YmBgOHDjA4OCgMJhGRkbIy8sTTX9JSQl9fX2y0zUYDKLPN5lMmM1mKXkoOuqYMWMks1bt5hVETqEyTCaTwPHmz58vdf+CggKWLl1KbGyslBlVCUvhF7Zs2UJKSgo6nU7kvq2trcyYMUO4UyqG88yZM+KXyMvLo6amRt5DV1eXmP1Uahkgi2RsbCxNTU2EhYXJtVAlPhsbG6ZPn87Bgwd555138PHx4eOPP8ZqtdLT04PRaCQ9PZ0JEybQ3NxMUVGRQPQUzPCHWOL5cdL/JwylBLC1tcXV1ZXjx4/T09PD7NmzqaurQ6/X4+TkRGdnpzTpvL29GRoa4vz582g0Gurr64mKimLFihUUFBTITtRkMuHj4yOMG9VEVI0qHx8fiV80Go3U19czc+ZMoqOjycjIoKWlhQULFlBeXk5mZqYsUPX19Wi1Wtra2hgZGZG0ILPZLI7Prq6uq3bKvb29+Pn50dHRwcWLF3n00UcpKiqSXXhTU5MglBMTE+no6GDSpEkcPnyY48ePS5BFY2MjRqNRmtcBAQE4OTnR19dHS0uLvPeSkhICAgJwdHQUZvrKlSv5+OOP6e3tZdasWcTHx5Ofn8/s2bMlK1a5UcvKyrjuuuvo7++nra2NyspK3NzcuHz5skTyRUVFiSKnvr4es9lMSUmJNHGLioro7e3l17/+NUePHhUGkMViwd3dnWPHjjEwMEBCQoK8j7q6OsLCwigsLMTd3Z3q6mpJ4aqqqpJ4S3d3dykLxcfHk5mZSUJCAnV1dbJw6PV6MjIy2L9/PwMDA9TW1ornQk16KuDk3LlzdHd3ExgYiK+vLx4eHnzxxRfY2Njg5uaGvb09jY2Nwqivrq6mrq4OBwcHMYSpZDIVnanKLnZ2dri5uUljNy0tTWTCquk9MjJCWloazs7O4tVQbuX6+nqOHj3KrFmzcHZ2Jjs7m56eHiIiInBycuLTTz/l4MGDEuIeFBRET08Ps2bNEiihmpj7+vpkx63T6bhw4QKpqalotVpRW6kwIbWQjRs3ThLjlBNYlfYsFgv5+fkUFRWRnp7O0NAQvr6+FBQUcOnSJcxmM8nJyeTm5nL58mXuvPNOCgoK0Gg05OTkUFZWxldffUVnZyfLly8nPz8fNzc39Hr9jzv9f+b4IU361x7jOjs7aWho4NixY4KuXb58OXV1dXR1dXHXXXdJo6qmpoZHHnmE7u5uaeQp+aJKHPL29mb8+PGCJXZycpJQjrCwMCE8Tpo0ia6uLiFEbtiwATs7O7788ksJtVZ1Y9Xwio2NxWQyYTQaxZbv5OTEpEmTMBqNtLW10dHRIScRBcOyt7fnypUrnDt3jkmTJlFdXS3KIltbW/Ly8igqKhJNs4+PD+Hh4RJMkpubKy7GkZERmpqaBIQVGBhIaGiooJyvXLnCxIkTuXLlCsXFxVJfLy0tpaqqCoPBQHl5OQDu7u5XhaYcOnSIrq4uOjo6cHV1lQB31czu7++Xvobawbu5uREYGCjc95iYGOrq6igpKcHZ2VmuUWVlJR4eHvj4+BATEyPo6AkTJtDQ0EBYWBg2NjbSrwkLCxNWkKpfq8aogoVduXJFuEG9vb10dHSICUu5nFWfJSIigq6uLmbPnk15ebkQLuvr60lNTWXSpEkUFRWJAU7t4tXvVoRVQDJ/XV1dJRehsbFRDH8tLS0AtLS0kJqaSmNjIykpKTQ2NsrO+8qVK1y4cEGar+fOncNsNnP58mUaGxvRaDRkZ2fj4eEhBqhLly5JCMyaNWtISkpieHiY6upqQYbY2trK6U5RZFNTU4FvQXhjxoyRkk1iYiKAGMhmzJgh92dPT48IHkZGRoQD1NTURFJSEhcuXJA8AXd3d1pbW0lOTubEiRNcunRJFGMAZWVlhIeH09nZSVxcHJWVleIrCA4OxtnZWXDMP7Tx46T/TxqjtbkODg64ublRWlpKW1sbQ0ND7Nu3j5/85CekpKQQHx9PVFQU119/PZ2dnYwdO5YVK1awbds2urq6KCsrIzQ0VMoNHR0dpKamivkpMDCQnJwcvL29sbW1paGhge7ubpYuXUphYSEvvPAC06dPx93dXWr+yoTT0tIimnOl7Tebzeh0OmJiYgSPsHjxYilJqDi56667juDgYKxWq5xuwsPDuXLlCpMmTcLR0ZHu7m5KS0uJiIjAaDQyffp0SXoaHBwkLS2Nd999Fw8PD2GUKM+AKmUoJVRfXx/l5eU4OztTUlIiVEjlgFbY5smTJxMSEiLa6cDAQBoaGkTCqT4fi8Uix3k1yY8ZMwatVotGo5FwdfiWuV9cXCxES9XTsLGxEcJoQkICGo1GwGy2trZERkai1Wrx9/cXTpJysoaGhqLT6SQA/PTp08TFxUm9vLCwkLCwMFpbW1m4cCGHDx8W1/WlS5fEiaq09Cp168SJE6SlpUlzu62tjZaWFo4fP47JZMLe3h74dhevwk4UltjNzU2kjqrH4eDggNFolGxhBRYzm838/Oc/JycnBxcXF/bs2UNSUpLIgltbW3F0dOTkyZNyzyj/g5LiDg4OMnnyZM6cOUNjYyNpaWkipa2urubAgQMS4ZmQkEBxcTH9/f309PRQXl5OUFAQM2fO5MKFC5I50dXVJWlgZ86cEXPijBkzuHDhAs3Nzfj7+zNr1iyqq6vp7Ozk7rvvZs+ePSxevJhx48aJ07u0tFTKgGPHjmXv3r1ERESQm5srfS9lbLNarfj5+TFmzBhaW1tZsWIFwcHBTJw4URK2fojjx0n/nzRG63JPnz5NQUGByAk7Ozt55JFHKCkp4ciRIzzyyCN4enqyfft2vLy8mDt3LmVlZUyYMIH4+HgOHTokTJzQ0FAiIiJoa2ujpKQEg8FAR0cHlZWVIvVrbGzEx8eHrKws0tLS2LJlC++//7CuvS0AACAASURBVD75+fkcPnxYJnm1c1dHfY1GQ3t7O/Ct4aqsrAx/f3+2bt3K1q1buXjxIgMDA0yYMEGcu2pHpcLLOzo6WLFiheyY7ezsiI6OxtHREQcHB3Jzc0VBpCYipcZRDVEVaaiojxaLRZg7tra26HS6q7DI8C3Xpqenh5kzZxISEiJeAqPRKCEyioip+hRWqxWj0Sg7da1WS01NDRaLRa6DCm3p7e2lubkZOzs7kpKSGBoaoqKiQtQh48aNIyoqSpQkqnbb3d0tWnmNRkNCQgIXLlxg2rRp7Nq1C09PT/R6vTSnCwsLcXZ25osvvpD6dmpqKh9++CG2trYMDg5SWloqyVAuLi4UFxcTFxcni5i9vT15eXmSG6ColVOmTKGiooKwsDBBMCiQnzIpqR6NKpWMbkR6enpSWlqKTqcjLS1NehMKZ+3v7091dTVDQ0N8+umn8rk1NTVhsViEi6SuXXNzM8uWLePkyZMArFy5kqqqKsLDw7GxsaG8vJw5c+aI0XHMmDFEREQwc+ZMzp07R1JSEm5ubuTn58vJ+cyZMwwMDKDValm2bBkFBQUMDw/j5ubGqVOn0Gg0TJ48mfz8fGJjYzl//jweHh7s37+fEydOyClv2rRp9PT0YG9vT0xMDDk5OVRXVxMWFsaBAwfo7+/H1dWVqqoquV/MZjO33HKLlINyc3NJSEjg448/Jjs7mylTpvxfmn3+z8aPk/4/YYwu7VitVrKysoRrPzQ0xIIFCzh16hTXX389mzZtQqvVotPpmDNnDqmpqdTW1lJeXk51dTV79uzBx8cHZ2dnYmJiiIyMpLm5mZaWFoKCgsjJyRFZnrOzMxUVFURGRtLa2srg4CDr1q3j4MGDREREiNpH5ciqUO6uri7ZuSoipq+vL8PDw7JrTU9Pp7S0FJPJRHV1NcPDw7S2tgrQSk0Y0dHRtLW1ERYWRnV1NSEhIWJG8/DwEHWQ2ina29uj0+lkUle0UXXqUDLDlpYWBgcHBa2g1Wolr1dx2u+8804JMCkoKECv1+Pg4EBcXBwajUYSsgDS09NFjmlrayunH39/fwICAsR0pZrunp6espgoHIZ6H97e3syfP5/jx4+L6WrixIk4OztLU1hNDt3d3QwODnLgwAF6e3sZHh4mLCyMI0eOoNVqiYiIICgoiOrqavr7+zGZTOTl5REUFMTQ0BDNzc3Y29tLU3R0AE9iYiKNjY3CzVcLwIwZM8jIyKC+vp6EhARSU1MpLS2VhVr1XFQ939XVlcbGRubNmydAQIPBILmyVquVgoICkUgWFRUxbtw4UlNTKSws5Kc//Sl/+tOfcHBwoL6+nqCgIDGXKQxzamqq5BGEhoYKd7+rq4uZM2dSUVGBo6OjJIQ5OTlx7tw5MjMz0Wg0jBs3DqvVSkNDAykpKezcuROdTkd6ejp5eXkEBwdz8eJFIV02NzeTnJxMSEgInZ2dUv678cYbycrKQqfT8e6771JQUAAgTXhlAlOl2KNHjwpQzWQyiUN63LhxmM1mqqurCQwM5Pz581RUVBAbG4ufnx/XXXfdD3a3/32T/o/snf/G6O3tZdu2bWLeWbhwIceOHRO3pZ2dHd7e3leFfOzatYuCggLc3d05ffo0RUVFODo64u/vj06nE7u/0WgUZK9yKl66dInAwED5vYot09PTQ3BwMImJiRQXF0tjtr29naeffpro6Ghuu+02AKEDqmi5mpoaKisreeyxx/j444+l4aq48wBmsxlnZ2fBLHR2duLn50dUVBS7du3CarWyceNGvvzyS9Hwm81mKisrRX00YcIEdu7cSUBAgEgR1U5a5Qc4OjrS29t7lfLCzc2NqKgoTCYT06ZNE6SFTqfD39+fTz75hHnz5rF//35iYmJISUlh3759BAUFCfdI1V5bWlqIjY3l6NGjWK1WQSWoWrZWqyU9PZ2pU6fy4IMP4uvrS0ZGhiAQoqOjKS4uprGxEQ8PD8aNG0dbW5sgNZQWfsqUKRw+fBg3NzdcXV3JycmRiMehoSEcHBxobGxkzJgx2NnZMTg4SGdnJ/n5+ZK9q9Fo8PT0xGQyCbwOkHJGe3s7ixYtorKyUqTA9vb2zJ49m82bNzM8PExxcTFOTk60tLQQGRmJk5OTJIUpfpFCHyhst8FgYOnSpbzyyit4e3vL42xtbUlMTOT06dPSD/L09JTwGYUlVsRTJycn4NtNklKXqVLYwMAAu3btYtKkSfT39xMeHs6pU6dwcXHhuuuuo6SkhF/96lfU1dVx6NAhee9FRUXCGIqKimLChAnY2dmRl5dHb2+vmPoiIiKkiXvu3DkGBwdJTk6muLiYsWPHUlFRIbJmb29vUbV1dXXJCVGr1QpXamRkBH9/f4xGI5GRkXR3dxMcHMxzzz2HyWTC0dFR6vo/tGbuj8C1f8FQOv25c+eKSWNoaEhuMMVyUVrezs5ONm/ezPTp03nvvfeER6OML97e3qLeUQoKteMtKSkRBo0yCSmzWHR0NFFRUURFRdHX10dnZycXLlzg4sWLwtcfHSWo4gvr6+vlS6WQBC4uLvj4+NDU1CTESmUgUpNvfHw8J06cwN7enqioKCIjI5k7dy4333wzJpOJuro6YmJiZHfU0tIiqF+VTJSVlSUcGq1WK8RP1YBWwSj33Xcfly5dkomks7OTmpoakXEqOJ1alHQ6HQcOHCA+Pl5KPAaD4SoT0pQpU7C1tZXFyWg04uTkhI+PDwUFBdjY2DB//nyGhoZISUkRqqQylV26dInExEQpDygCo8lkwtfXV/AaijPv5uZ2VX8hMDBQmqfKg6HgdwoOZrFYxEU6ZswYoqOjqa+vl5KKyWRi8uTJ4jC+fPkyWq2WTZs2CVVVo9FIIE5kZKQshmoid3FxkYBwpfhRaGhlMANEGKDQDAaDQfIUhoeHmTt3rjCjBgcHaWxsJDk5+aq4wpycHFpbW5kyZQpHjhzBwcEBX1/fq1LFurq6CAkJIT4+nqamJnp6erCzsxPJ7fjx4/Hx8eHs2bP09PSIj+P06dOC0HZxccHNzY0lS5awefNmIiMjWbp0Ke+//z7R0dGSZtfe3o6XlxczZszgzJkzEsBSUFAgaWfqtDplyhTi4+MpKiri+PHjTJo0icWLF4vUubW1lZ/+9Kf/T+ag7xs/Atf+BSM0NJTIyEjg73ZspcL5ruBkVerYs2ePYBpycnLw8/PDZDLR1NSEq6uruE1bW1ulZqrMMErj/Oyzz3L+/Hk+/fRT0tPT6evrE9Ll448/TnJyMnv37uX8+fM4OzuLikVZ4hVnxt3dnaVLl/LII4+Qm5srDdbu7m5uueUW0Un7+PgQEBDAiRMn+Mtf/kJCQgLe3t588sknJCUl8Z//+Z8ibVOcEpXJ6u3tTWhoKA0NDbi4uHDx4kW6u7vx8PAQ1VN/f79EIZpMJgwGAwaDgXPnzmEymaiqqqK1tZXKykrpKwwNDUmZyMbGhvr6ejo7OyVrWPFlVCknIiKCe++9l4MHD/LMM8+Im1rtSAGhP65atYrg4GCqqqpITk6mt7eXmpoahoaGxIV6+fJl4bdXVVUJ+dLd3Z3ExETOnDmD2WzG3d2dhoYGOjs7Zcet/AIqDrK2tlZQ1nFxcTQ1NVFVVYW7uzs1NTXU1NTQ398vE6SzszMBAQE0NzeLSSkjI4PPP/9cAmzmzZtHS0sLVqsVNzc3zp8/L8hpW1tbnJ2d6erqYsKECVRXV0tjV51OVSlO9YrUAlpfX093dzcajUaycRsbG2lvb6etrY2goCAACeFRMaDz58/n0qVLeHp6At9ilhsaGggMDBS+jypx1tTUoNfrqaysxN3dXRQ0N910E9u2bZPyjDoRqVJPX1+f9NjGjh0rjvGoqCh0Oh0FBQUSVDQ4OMj+/fuZMmUKLS0tUqqyWCziElYlLKW0c3V1xdbWlieeeIKAgADZhKnTxg9pfF9554fnKvg3Gap8MVrRY2NjI3+vTlCjpZ4KGJacnIxOp2Pjxo10dHRgZ2fH2LFjsbGxkROCCuMeGhoSrr67uzuZmZns3btXNNd//etfhbdTX1/P/v372bhxI5WVlYKodXR0lAbsyMgIn3/+ubhs1c+vX7+ePXv2cOrUKQ4dOsSDDz7I1KlTGRkZwWg0kp2dLaCykydP8s0332CxWHj77bcZO3YsRqNREAEFBQUcPHgQX19fsrOzOXv2LFqtloKCAiwWi3wxVYnDwcFBoFyOjo60trbS2NiIk5MTbm5umM1mbG1tpemrsAcqv9TBwUEWjcrKShoaGrj++uv5+uuvef/990UGe/ToUYxGI8899xz29vb8+te/xtfXVxRDPT093HDDDZJb4OfnR2lpKU1NTQQHB+Pn58eyZcs4f/48EydOFGPdddddR2dnJ3q9np6eHo4ePSrpTba2trS1tcnOWCm/FD++t7cXg8FAYmKiuInDwsIIDQ3F09MTrVYrJZKAgAAiIyOlDKfX65k/fz6xsbFs376djz76iOPHj7N8+XKZkEwmE52dnfj7+6PX6+XaK75Mfn6+XD9bW1tuvPFGue6KVz8yMiL9EQ8PD1JSUoiJiaGpqQlvb2+hXtrY2NDU1IROpxPOTWhoKD4+PnzzzTcSgalYTm5ubrJgWCwWIiMjWb9+PQsXLqS1tZU5c+bQ2NhIXl4eXl5ebNiwARsbG4qLi+np6aG0tJS6ujqCg4OJiopCr9dzxx13iK7fYDDQ1dXFzp07OXDgAK6urtx5551CbJ0/f77U+5UHQ0mIPT09aWlpwdHRkZUrVwpSJT09nQ8++ABbW1v8/PyYMWMG8fHx/w9moP/++HGn/98co3fxapc/2pmnJn5V+gEkWcjW1haj0chf/vIXQkNDmTZtGhaLhZiYGGkMquO/SlAyGo3CcP/Vr35FdnY206ZNE8OYAnjV1tYyY8YMoqOj8ff3l8lMBWYPDw8TFBREfn6+MNh///vfc88994gT1cnJCTs7O3JycoiPj5c6vJKpxsTEUF9fj0ajIS4ujp6eHqxWK5988gnz58/nzJkzODo6cvbsWWxsbAgLC5PEr+TkZNra2vDw8KCurk7oksuWLaOwsFAm4ZCQEGpra/H29iY+Pl5KMS4uLvT09AiiuLe3V7guCvmgmPpqItTpdEycOJG+vj6efPJJEhISWL16teAyLl26JItzV1eX8P6Hh4eZOHEier2ejo4OeS+Dg4NcvHhRHMwmk4nx48cTFBTE4cOH6evro6amRqS6AQEBVFdXS8ng2LFjAh0bHh4mPDxc5K4q+N1qtRIWFiaKkZiYGCk/TJ8+nYGBAUJDQ6VJHhwczKJFi2hvb+fRRx/lhRdekGvR09PD5MmTqaurkxJTfHy8OJuVeW7u3Ll8+umnJCcnS59ieHhY0rFiYmIoLy+nvb1dyKAdHR1CKVXlwsbGRjlF6nQ6vv76aykrVlVVCbtHZQe7urqSlpaGv78/b7/9tqiwFM46KChIAt0VnnzOnDkUFRVJmVHhQnx8fPDw8BAw3qxZsyTBzGq18sEHHzA4OChJcRUVFYSGhlJaWiqpcEoQ8dvf/paxY8dSVlYmm5LIyEj+4z/+Qx7zQ3Tjwo87/X/ZGB2M/I8+fAVig2+Ts86ePUt2djYVFRWiwVemHovFwsjICHPmzAFg0qRJgoj19fVl1apV6HQ6ampqOHv2LLt372bevHkkJSVhtVq57rrrcHd3JzAwkNzcXLKyshgYGKC0tJSioiIsFgtDQ0O8/fbbgkxuaGjAzc2NzZs309nZydatW8VdfMcdd9DY2Eh0dDRvvfUWwcHBaDQaHn30UUZGRsRtajKZePjhh7n99tvx8vLCbDaj1+v585//TEdHB7m5uRw8eJBjx44xceJEnn76aU6fPi2Ns8HBQc6fP092drYc/2tra6WWrybE+Ph4kXu6uLhI/KQKnffy8hIOkVarlb7B7NmzSUxMxM7OjsLCQmbPno2trS0jIyPceOONAKLEUi5o5aa2sbHhk08+obi4mJkzZzJ//nzq6upwc3PD09OTJ598kkceeYSTJ09y9uxZent75bkHBweF26Mc0L6+voLz0Gq1+Pr60t7ejq2tLRMmTJBShDKmKYmjo6MjQUFBpKens3//fnp7e8nKysLX15eoqChOnjzJ3r172bx5Mw8//DATJkzgrbfeEu/H2bNnJQvZ29ubyspKKbs5OjqSnJxMcHAwer2ekpISuru7eeGFF8jJyeG9997j448/lhQqVR7y8/OT06NaeFU9vLW1lS1btrBhwwZycnKYPXu2LCBz587l9OnTHD16VHpRKt9A9blUOUelgJWVlVFXV4evry9xcXFkZmZK6IqdnR0zZsxg7NixJCUlcebMGVmM//CHPwjGo6enh4SEBD777DO0Wi0VFRUcPnyY8ePH4+TkxO9+9ztef/11Vq9ezRtvvIGPjw9z584lJSWFjIwMnnrqKRYtWiQbvtHf7X+n8WMj9785FDb2H3XtlWoHkAWhra2N559/npqaGkJCQggICODDDz8kPDxcULEFBQWkp6dTUFBAdHQ0jz/+OAcOHODgwYNipMnIyODixYvcfvvt5ObmMnnyZH7zm9/w1FNPYTQaaWho4De/+Q1dXV04OTnJjkmFdLe0tAiOYe7cuezdu5cdO3bg4eGBwWDgkUceYerUqXh6emI2mzl16hR9fX3odDq6u7vJzMyUicRgMJCZmcljjz3GiRMneOyxxyR3NDQ0lN/97ncsXbqUnTt30t/fz9dff822bdu48cYb+fzzz6XH8MILL/D666+zceNGTpw4wd69e0XxYjabBRGtavjqSF1dXY1Wq8VkMon708fHBwcHB1Gw6PV6UlJS2LBhAy+88AJ//OMfcXV1FY+Bj48P9957L9nZ2Tg7O2O1WmViU3JSBwcHTpw4gaOjI8ePH2fr1q08+uijpKam8tOf/pTy8nI5LaifUXm6AwMDIu01GAzY2tpSUlIiMZEqu1ghq1XUooODg8QmDgwMMHbsWGpra4mOjqakpAQ7Ozs2btzIoUOHsLOz4y9/+QvTpk0jLy9PGv8NDQ3Exn4bY20wGLBYLLJ4LVy4UO7XhQsXUl1dzYcffsimTZtoaWnhV7/6FR4eHtx+++0kJSVRVlbGqlWrOHLkiHgPhoaGhHKpMMRBQUG0trYyefJk8vLy8PX1lYQ5BeVT6p+oqCi6u7tF6jl16lTOnTsnJbe0tDTa29vF3a38CbNmzZKcYOV2Dg8Pp66uTpAhCttw+PBhysvL2bhxI5s2bSI/P5+kpCQWLlzIiRMnuOGGG0RC+/nnnzN37lxWrVqFVqslJibmO6FqP1TQmho/qnf+SWP0RK92+dfu8Efz7tWuUzHLDx8+TH9/P0ePHhWjjE6no7Ozk4iICA4fPsysWbPIzMwkNTVVFAwPPfQQzz77LOvWreOTTz4RrsmYMWNISUlh8eLF4krdvn07586dQ6vVkpKSwosvvkhTUxMAXl5exMfHc/78edzc3GS3aWdnx9GjR9FoNNxwww0sX76cvr4+7rjjDnJycjh69ChpaWls2rSJpqYm+vr6SExMJCIigoSEBDmNhIaGkpmZSUhICA888AArV67k6NGjTJo0CRsbGwYGBjh16hTr1q3jt7/9rTDob775ZjFopaens3PnTi5cuEBdXR0dHR34+vpSVVUl3H0bGxvJpdVqtZIzqzgxKsEsMTGRxYsX8+677xIdHU1lZSXHjh3DxcWFoaEh2traqKio4MMPP2T58uU89NBDghAezU1XkX+vvfaaLIKPPvooZrOZ999/n+nTp3PPPfdQU1MjZTDV3/Hw8BAkhqenp/RYlCZf8f5HRkawWCxcunSJpUuXcuutt2JjY8MLL7zA+vXr0Wg0ZGZmsmzZMgIDA3n55ZeZNWsWdnZ2bN26ldzcXLy9vVm+fDlffvklRqNRTh1qN/zcc8+xZMmSq+5JQELGX331VR5++GFKS0uxt7cnMjKSjIwMbrzxRhISEoSBFB8fz9SpU2loaODxxx9n27ZtWCwWUeGEhYUJFPDJJ5/kZz/7GStXruTtt9+WHoZWqyUvL48HH3yQnTt30tjYiKenJ7/97W/ZvXs3eXl52NvbU15eLlGSsbGxlJaWotVq6e7upru7W+B+o5uw8K1wQnkFLBYLfX19XL58mba2Nvr6+khJSaG4uJiIiAimTZvGhx9+KBDDo0ePMjQ0hJ2d3VWT++g/j1bm/RAn/++b9H8s7/wfjNE7e9W4unaoZqx63Ogv18SJEzl79izOzs6iYTYYDLzzzjvcf//97N69myeeeIJ58+Zx7733snTpUp599llycnLIzc2lr6+PiRMnyrH16aefZvbs2TKJtLS0cPbsWUJCQq7CLUdFRTF+/Hj6+/s5ceIEBoMBo9GIo6Mjer2ekZER1q9fj8lk4tVXX8VisXDLLbfwxhtvUFdXx89//nO+/PJLOjs7mT59Ort27eKjjz7iN7/5DXv27BFMs6+vL8uXLyciIoLnn3+ehoYG0tPTmT9/PhEREWzfvh29Xs+LL75Ic3MzhYWFaDQaPvvsM4qKioiNjWXv3r289NJLvPHGG6SkpGAwGKSRrerH7u7uLFu2jPDwcKn/q7xio9FIbGwsd955J7t37yYpKQl/f39qa2s5c+YMLi4uolBRfJjW1lb6+/u5cOECIyMjwqoZXb6zWq3s27ePadOmkZqaislkori4mDvvvJP777+fRYsWMWfOHHGnKvOZTqejv7+f4uJiioqKhCZqMBgYGRnBwcEBi8WCXq+ntLRUOPPPPvssL7/8MgaDgbfeeouHHnoIOzs7cnNzOXfuHE888QTHjh0jKSmJrVu3otFoaGxsZMuWLcJpcnV1JSYmhl27dgkTSd2TFosFQOr+RqORpKQkrly5wuDgIAaDgZqaGj7//HMyMjJEVDBmzBhsbGw4c+YMq1ev5uLFi+h0Onx9fens7OSJJ56grq6Ow4cPExUVxaZNm3jppZdYvnw5e/fuxcbGRkpMZ8+e5eOPP+a+++4TWew999xDZmYmkyZNYsmSJcC34Te+vr5MnTpVGtuqrNTS0iKvLTg4WB6nQn5qamquYllFRUVx991309XVJXju++67j0WLFgGg0+kEHQKIc3i0MEN9z9Wc8O82ftzp/zeGas6qZu21bt1/lJ/Z399Pb28vnZ2d7N27Fy8vL/R6PcuXLwf+vnsAOHbsGGlpadTW1uLn58dzzz1HdXU1mZmZrF69mt/85jfCXFGf4VdffcXp06d55ZVXyMvLIywsjDVr1jB9+nTKysq4fPnyVZyUW2+9lZdeekm02x4eHqSlpbFx40ZcXFw4deoUiYmJGI1Gwfc+++yz9Pb28swzz9Dd3c3q1asxm824urrK+9yxYwfLly/H1taWe+65h9zcXMaPH88HH3yAVquVxChVsti3bx8rVqxg8eLFPPTQQ3R1dZGbm0tXVxfPPvusaPdHX++uri7c3Nzk73p7e+U96HQ6rrvuOu644w5eeukl0tPTxUA3f/58wWO3t7fz2GOP0dzczAMPPMCnn37K8ePHJdSjpaVFduwqyeybb74Rx29eXp5MGsp/oMo0aoft4+PD0NCQLGqKY6+YMgaDAW9vb8xms4TjqNOCi4uL6Mb1ej1Xrlxh1qxZLFu2jFOnTrF06VK6u7vJyclhZGSEZ599loGBAQwGg/QQTp48iZOTE9nZ2SQmJkqzVe32VbnkP/7jP3jyySdpbm5mwYIFnDlzRsiYr776KiMjI2RmZjJt2jRR4IwbN44tW7Zga2vLI488chVqw8XFhcuXLwvsTEHMNm3aRH9/P9HR0TQ0NDB//nwOHTrE6dOniY6OxtnZmVWrVvHmm2+yatUqioqK8Pb2Jjs7G3t7e1JSUuS0peS93d3dkghXVFQki4K7uzuXL19Go9Ewc+ZMJkyYwOLFi5kxY4b0JMLDw7n11lt56KGHJJvggQcekOtz7Xf42lPSD3X8WN75F4z/r8c6FZgxehQWFhIUFMTp06eZOHGi7HoGBgYICwvjiy++4J577sHFxYWnnnqKp59+mn379lFXVydh3b/+9a9ltzY0NERmZibvv/8+f/7znzGbzWg0GmxsbLj77rspLy9nyZIlbN++ncHBQTw9PUlISJAb/4YbbuCtt97iwoULIj3U6/XcfvvtuLu7YzKZOHnyJLfccgvu7u4cOXIEGxsbKioquPnmmwkKCrpqwVIZr6oZ9vDDD4vp59ChQ8ybN4/c3FwpsWRnZ5Oeno5er+dXv/oVW7ZskVq+querMpQa6vmcnZ3p7e2VhSAkJAStVisLs3Jorlq1itWrV6PX6+UzUc3s06dPY7FY+PrrrwE4efIker0eW1tbkboqpZOqn992222kpKQQHh5OR0cHv/jFLzCbzfT09KDVasXgFBQURElJCVarldjYWOrq6oiLi8PJyYnIyEhqamrEKNfT00N8fDwVFRUEBQXR19eHh4cHvr6+XLp0SSIk7ezssLGxEWdpVFQUFRUV0uTWaDR4eXmxb9++qyZ3NYmNPqGqhDYVUp6bm0tJSQlr166VjcUzzzxDf38/X375JTqdjgULFqDT6aisrOT8+fPMmTOHlStX4unpSWdnJ729vYSGhjJhwgRee+017rjjDvbt28fq1atFFZSdnc2JEyd4/vnn2b59OxqNBh8fHyGBzpo1i5qaGsFl/PKXv+Thhx/Gx8eH0tJShoeHJdthNBywp6dHvhOqDKSwGsrroLIikpOT8fX1ZdGiRYyMjJCfn09lZSWvvfYaBoPhfxt+/kNl6cOPk/6/ZKgv0Xft8v93C4LRaKSqqoqWlhbmzZvH3r17WbFihTQB7ezs+Oyzz4iMjOTcuXNcf/317Nixg6ysLAwGAytWrGDBggWMjIxQXl7OgQMHuHjxIu+99x6A6MFVP+DAgQP4+vpKYpRer2fTpk1MnjyZwcFBgoKCZHL45JNPePfddxkYGMBkp4GUHQAAIABJREFUMklDs7a2ltTUVFavXk1SUhIvvvgiL7/8sjRb1XvWaDS89NJLbN++nd///ve8/fbbNDU1kZeXJxF17u7ugkpISUmRa9bf3y9KECV3VbtsFRCivtx2dnZizFFu6NHBM4GBgcJZVwx+ZWx6+eWXGTdunChRbG1t6e3txcXFhaysLJ5++mnq6upkcgDE9fnzn/+cFStWAN9mFH/00UfY2dnx/PPP09fXByCnr+DgYIG7FRcXY2Njg5eXF3FxcQQHB/Pmm29y77330tDQACCSWMU5SkpKoqSkRJqTyrhntVrlueBbFYnKuw0JCeH999+Xa6Q+FzVBXTtRKeSGitu0Wq08/vjjDA8Pc+utt1JZWUlGRgaNjY2cO3eOJUuWyHW2WCxs2bKFLVu2AN+iM3Q6HbGxsZjNZm666SY2b95Mdna2JIz5+PjQ3t7OAw88wMGDB0lLS+PTTz+VBTosLIz169cTGhrKvffey/Tp0zl58qQ08dPS0sQ5XFFRQUBAABUVFTg5OdHV1UV4eDh9fX1ER0eTlJTEkSNHBK9tMBj4xS9+wd69e6moqBDURHBwMENDQ6xcuZIjR44wceJE1q1bd9X1U9RXQO63H7J658dJ/588vku5o47JaocN31/qUeHWBoNBSIXKGarRaLhw4QI7duzgueeew9HRkfz8fF5++WUSEhI4ePCgIH/VF+Wpp5666kY8fPgw+fn5hIWF8frrr8vE2tTUxIwZM7j55pslXk69J5UTq3ZLmZmZfPbZZxQXF4sUr7m5mfvuu4/ly5dL8IsiY47+gixYsIAnnniCEydO8P777xMTE0N+fr6UdpRW28fHR8oadnZ2otEOCQlBr9eTmJjIrbfeysyZM8VF6uHhIc3JjRs3smPHDsLCwsQl29vbK4RNpetX5Em1iERERPDpp59edYwfGhpizpw5rF69mrfeeksax+o92tvb4+3tzd69e4FvZZ6rV68WkJrRaBRvhQJxDQ4OUldXh7OzM9OmTePNN9/k/vvvJyMjg3Xr1nHXXXcJU8jGxoa1a9dK8M2sWbO4cOECISEh/PKXvxSEt729PU5OThJ+okJFgoOD2b1791Vig9ET/OjPSn3Wo0sYKhVrx44dHDlyhA8//JC+vj5Onz5NbGws8fHx2Nvbc/ToUebOnQvAqVOnOHfuHBERESQnJ7Nx40YKCwsxmUzU1NQwbdo0mpqa0Gg0cr+rBVi5iv/0pz/x4osvyn02depUioqKuO222ygoKBDHsMlkorS0VELaVSlJYUlcXFwka2H8+PFkZmYSExODg4MDOTk53HXXXRLrqdDJilelMBPh4eFkZGTg7+8vDfZrd/Ojs3H/f7fT12g0G4A7ACuQB9wK+AOfAB7AReAWq9Vq1mg0jsAHwESgDVhttVqrvu/3/1An/WvH6Bvjuzr8gEzIChF77WJw7c2ldrpbt25l2bJl/OUvf6GxsZG5c+cyMDDA6tWrv3PnppqONjY2vPTSS2zYsIGvv/4ag8FAcnIy9913H15eXqxatYrU1FRZwK69gVUTU00gRUVFvP7661y5coWhoSGpGUdERODs7Cxmp9dff52VK1cyZ84cIiIiKCwsFBOOjY0Nvb29JCUlSbyhmqQB2e2lpaUxZ84cpk6dipubG/39/YwdO5aFCxdSWFgobkhlIvvyyy8pLy9ncHCQTZs28cADD/Dcc8/R39+Pm5ubNC47OjrQarWCB7azs+Obb74RDo0KkLn33nupqKgQKagigSpy6tq1a/H39ycrK4v9+/dLGaq+vh5fX190Oh1eXl488cQT5Ofnc+7cOU6ePEl9fT0Wi4UbbriBe+65h4ULF7Js2TLBHq9Zs4aqqioeeOAB/vjHP/KLX/ziqvpxbW0tDzzwALW1tfj7+0vcn42NDS+++CLjx4+/qtShFjJ7e/v/sjO9tjZttVrZsWMHK1euxGw2SzPfx8eHbdu2yX1qsVhobGwUR7jRaKS7u5tz587x/PPPs2zZMsLCwnjsscd49dVXeeyxx7Czs2P69Om4urqKC9lisbB//34++ugjjh07hpubG9dddx2ffPIJXl5e2Nvbc/PNN7Nr1y7uvvtu4Rjt37+fvLw84FsUSm1tLR4eHhJgX1VVRUdHB9HR0cTFxbFz507GjBlDdXU1t956q0zyShb82GOPCQbDarWydOlSGhsbsbW1Ze3atf/FgPVDLumMHv+SSV+j0QQCp4B4q9U6oNFoPgP2AouBL61W6ycajeYPwGWr1fqWRqO5FxhntVrv1mg0a4AMq9W6+vue499h0lfXb/Qu/vsmYjW5qC+c+vKNrr0q0qUKysjPz+fixYvk5uai0Wi45557WLZs2X95HdeWlNSO19bWFpPJxJ49e5gxYwYHDx5k7dq1DA8Pi8X+2qFqvdf2JPLy8nj11Vfp6uqitrZWsmDNZrMEtStj0tDQEF999RWpqakS16fVaoWvr/TnAQEBfPDBB3R3d/P888+LazMxMZHS0lIWLFggLHd7e3t6e3uF/qlQzE8++STvvPMOFRUVom1X5jW1M+vq6kKv18vrVbX6PXv2yGdoY2OD0Wjk+uuvZ3h4WEijqgzi7u5OT0+P6MiVmctisQhrx2Aw4OXlxddff83IyAjvvvuuqF4SEhJYu3YtS5Ys4YYbbmDZsmXY29uLAW7Pnj0sXbr0qs9OfRaAhMEvXryYVatWkZCQgL+/v/Dq1VASSiVx/S48yOjd/hdffEFiYqLIc1977TVCQkLIyspi1apV+Pj4EBcXR0FBgRi+1LXctGkTvb29TJ8+nby8PKqqqrh8+TJdXV2S7fDCCy/Q09NDRUUF9vb2fPbZZ2zYsIF33nmHm266iW+++YasrCwCAgJYv34927Zt489//rOULidPnsyCBQvkc8/JyeHIkSN88803ki2sYHMFBQU4Ojri4+NDa2srY8aMITMzk4aGBp555hk+/vhjjh49ypIlS3jyySfZvXs3+fn5jB8/noyMDHbs2MGmTZuu+l4po9613+sfqnrnXznpZwLjgW7gK+AN4GPAz2q1Dmk0mmnAM1ardYFGoznwtz+f1Wg0dkAT4G39nhfw7zTpXyvlulbH/10LwWi9/+i/VwtCVlYWTU1NVFRU0NraysaNGyXLdPRQk+F3NY3VUIuJql3/oxtW/b163LWvffQEZLFYaGpq4r333uPy5ct0dHSIXV79u1J6qGO40sir17tr1y7MZjNvvvkms2fP5uGHHyY4OBgnJydSU1NZuHAhISEh3HDDDSQmJrJ27VpsbW2544476O3tJSAggFdeeYW77rqLv/71r1RVVeHv74/JZMLf358DBw7w/PPPy4lFBWmrEHQ3NzcsFguffvqppEutXbuW3t5emWDVBK+C0fv6+mRhVv0AVUO3t7cnJCSEbdu2CXzMarUyc+ZM9Ho9gYGBdHd3M2bMGMxmM/n5+RiNRqKjo/nzn/8sn73VahU55ehdeXl5uTzHww8/TFVVFa+//jr+/v5XyQzV531tGeJafbn6/97eXu6//37Z1aum8aZNm3BwcCAqKgoXFxfmz5+Pn5+f3KebNm2SuML58+czb9483n33XeLj47l06RIWi4VVq1ZRWVlJWVmZ4CCMRiMPPvggzs7OHD9+nJKSEvR6Pa2trQwPDzN58mTc3NzYvXs3mzZt4tKlS7S1tfHUU0/h5+dHQECAYCoUalylb8XFxQlvSKvVkpubK/Ggt912G3fddReenp5MnDiRgIAAdDodFy9exNXVlaioKObPn8/27dtZu3atQBVHXzd1khr9ffmhjX9leWc98DwwABwE1gOZVqs16m//Hgzss1qtCRqNJh9YaLVa6/72b+XAVKvV2vqPfv+/y6Sv6tjwd12+mhCGh4e/t+GjdmTqxrn22K1kmaqUYzabRUc+evwjs9h3vc7RfYdrH6Nu6NE3uXovo0tYoycS9bt/8pOfSONU8XhGN1rVJJSWlsbOnTuZNm0aY8eO5e677+bll1+WDGAXFxfGjBkDwLhx4xgYGKCuro6KigoWLFjAXXfdJa7irVu3cv78eTo6Oli9evVVDV31nHfeeScXLlwQRyx8i2lWzU/1Pl1cXMQ8peIPFSRsaGjoKp27WvxUacfGxgatVovBYGDKlCm8+OKLVy2QahHt7u7mwQcflAQxxVl64oknSE9Pv2pC+S4DkPq+quBwNzc3fH19/+HnDd8tOrh2g6BKRaMlwLfffjtGo1EUWHFxcTQ3NxMYGMi2bdskYKelpQUnJyf27dsnSq8//OEP/OxnPxNVkILDvfbaa9x6662EhYVRUFDAunXrxD3+6quv8t5775GYmMjJkyfZvHkzeXl5bN26lYSEBKZMmcINN9yAxWLhueeeY2hoiKamJhoaGq66Z8PDwyUQJiIigpKSEmJiYujs7CQ4OJje3l7++Mc/sm/fPqKjo/ntb3+Lp6cnzz77LN98840o1jIyMkQ8MHoz9u8g2/yXmLM0Go07sBwIBwIAHbDoOx6qVpXvWg7/y4qj0Wju1Gg0WRqNJksFNf+Qx2gT1ugb4R+ZNxRfRI3R8YDq96jHAYIPVkHhynmrJt7Rr0Md1//R61QTyj/amWg0GqkFj/47tehc+1zqdajf/fTTT3PvvffyyiuvkJ+fz+TJk/H29sbe3p7FixcTExPDokWLmD9/PpGRkWRnZwt8rLW1lTVr1jBp0iRCQ0OxWq2MGzdOrkFra6s0nt9++21JgyouLiY1NZXy8nLBAKv3pxbbbdu2cebMGTZs2IBer0en0xEUFCSTnrrWKiqwr6/vKlUSfJs5oNQtqjQ0+tivHqPRaKQ0MHp3rXTqTk5OvPnmm4Iq9vDwIDIyknnz5sn1V0P9vJLmwt/NQk5OTpw/f55f/vKX5ObmXvU5Xrv7HC06UO9VvXf1+5QkVn22Go2GV155BYD169fj7e3NwoULMZvN1NTUkJGRwaZNmzAajcINys/P58KFC9jY2HDTTTcB8Itf/EKazidOnCA4OJiCggI6OztZv369qKSSk5NxcHAgJiYGg8HAmjVrKCsrY82aNQwODnLq1Ckx5nl7e+Po6Ii9vT3Tpk3j97//PVu2bOGuu+5i3Lhx3H333SxfvpwXXnhB3Onx8fFERkZSX1+Pm5sbu3btIjMzky+//JIVK1YQEREhDJ81a9awZMkSKV9dW9YZvcsf/d9/l/E/0RylA5VWq7UFQKPRfAlMBwwajcbOarUOAUFAw98eXwcEA3V/K++4Ae3X/lKr1boN2Abf7vT/B6/v/+q49oNXX7RrJZ3fhW0YfROpx4z+OTV5XYt4uPb/ge/dgYyeqEf/zHc19b7vfaoTw+gFxGq1Mn78eGJjY6mtrQXg9ddfp6amhry8PObOncvKlSvRarXMnj2bmTNn8swzz5CamsqpU6cYGRlh586dLFq0iObmZm655RZ5TovFwrRp08TpamNjw/bt2zl79iz79u1j4sSJPP744/+wyaZSum655RZuu+029u7dy5tvvikBK6pGr5q8gEzm6qSmJnu9Xi+cefg7z0btZlWAzujrPfo1KRWQvb09XV1dODs7c/PNN191ba/987X9Ijs7O2k07t+/X8p1o1/r6NLN6NPC6M9W7V7Vexm9o9VoNHh4ePC73/2O2tpa/vrXv+Li4kJ7ezt/+MMfiI6OZv/+/WzYsIG1a9eK0Umj0QijSKPRsG3bNiIiIqiqquLVV1/FarXS3t7O+PHjqaysxMHBgaysLNasWcPy5ctxc3MjMzOTrKwsSktLee211xgzZgx9fX1s27ZNYg7Xrl3L7t27efDBB3Fzc5PQm5/97GfMmjWL3t5eYmNjCQ4OZt26dbz11ltMmjRJeismk0kQDsqoaDKZ8PPzA5A0rNE9N9UjUaeha6/nv8v4n7Sha4AUjUbjrPn2rpwLXAGOAT/522PWAV//7c+7/vb//O3fj35fPf+HOq7dYY9WuYz+87U1/tFfYtVAVUPttkbv1q+9oUYvDmpiGq0MGv1a4O+N1e/699EnAnWCGD2u3dmon1evcfR/r7Wpa7VaoqOjgW9124mJiUyaNAlXV1f++te/ctddd2EymXBxceF3v/sdp0+fxmQykZ+fz8qVKwVZPHqoXakqD6n3Mm3aNJ555hm5bqPLaKpUNXqhVV/WRYsWCe5hxowZ2NnZyU5eNdnVxDr6Z81ms4S9K1CaOuF5enoKOO4flc7Uf5988kkKCgqkXp+amnrVNR392an3rYY6fah76KOPPiIsLOw7VWDXTvajSxSjn0+V34CrShgA8fHxvPHGG0ICffrppxkeHubOO++UPsSZM2dITU3l8ccfJzAwEJPJhJ2dnciSa2trcXNzY8+ePdx9991Cyly+fDnTpk0DvmVGffHFF3R1dTF16lQJnldBO7fddhs+Pj7s3buXwsJC/ld73x4cV3Hu+euRR6+RRg8LGWS8svE1NnihgBjWEOMUEIgdwmPXcQpXamMSBxfFXVcIbHFZqCI3SaWy7Naui5slXIIxNyHXcGE3PIos4fJIAkkBsfFiiJ3ra0NCGUuW/EIeaTQjjab3jzlf+5tP3eecGY2kET6/qqmZ6dOn+zt9ur9Xf929fft2NDQ04De/+U2R0hKLxfDGG29g3rx5pownn3wS3//+943rkY643LBhA5YtW4Z8Po99+/YZK5r6F28Penf0n4+DavTp+6Fspq+1fhvA/0YhLPN9r6yfAPgbAHcopfYDmA3gUe+WRwHM9tLvAHD3BOieNsiXLM0+rjVxJszvIWbC46VpB0G6DhQzVO4bl75Z0u6kC4a7BWy0Uicm5kD5iUHQf5v1QIyHrkmGy5nW2WefbTS/FStWmDmJvr4+fOlLX8Irr7yCm2++GStWrMCqVavwzW9+E0BhPoPo5uXRoSqSyfHnJUFAaVywUhlLlizBfffdh1deeQWXXnqpuVZXV2doVEqZ1bLk889kMsZdQ1s6tLa2muX//N1weoDC2ofXXnsNTU1NOHDgAJYsWTJOSPA5Io6RkREAJzVy6i+2qBJ6B5yxu3QsUihk/yG88MILyGQyaGtrw7x58/Ctb33L7Oa6YcMGvPrqq8hms+jp6cHGjRuxevVqs45iyZIl5iCWxsZGvPfee7j66qtRX1+PLVu24O233zb15fN5/OhHP8I999xjtjseHBzE17/+dWzZsgUfffSRWbVMBwnRNtZkiRHdn//859HS0oLu7m489dRT+MxnPoN77rkHl1xyCW666SaMjo7i6aefRj5fOAf3rLPOKmoT2f787Gip+M00TCjgVGv9Ha31Eq31v9Va/0etdVZr/aHW+hKt9V9prddqrbNe3oz3/6+86x9W5hGmFzQAgWJNgDNTG7jmTwufiHlTuaQtcdDCFgJpwVLbiMfj4zYOk3WTBki+XCorl8sVaY75fN64VgicSRCNxOT4ZLB8fq21oeujjz7C0qVLsWDBArz00kvYt28fLrzwQnOdz19IpsZBdPKJScpDE6lcIJO/nsqkKJQXX3wR8XjcnFRFzD8Wi5nj8GgBEJ87oLa58cYbDWMm+vkczmOPPWa2Emhvb0dnZyfWrl1r3gO1XzweR11d3Tg3HI/kIWHE218ybSmsefQJgZQI3lfJtUX/R0dH8YMf/ADnnHMOLrzwQrPWY968eWhtbcW1114LANi4cSMefPBBdHR04IILLkAmk8GRI0fMSWHf+9730NHRYfr10qVLTUhtLpfDxRdfjNtuuw3XXnstbrjhBnOW8EsvvYQf/vCH5gjGpUuXYtu2bdi9e7dZJMYtvXw+j1tvvRXd3d3YvHkzurq6cOaZZ+K8884ze/kkEgmsXbsW8+fPx8KFC/Haa68VtRWfz+FaP7lebZF3MwXRitwJQkZJ8LA5PugoksMWSUH5uS+fa7AyMkdO1GUyGeOPtmn9EnzpvfSD2xaaccEjN6GieQXJ6PmEMNEj1yI8//zz2LVrF958801s3brVrIC0+bJtbUrPwhkc7T1DwooECN3LI2ok8vnC9sZXXnklkslk0XYQmUzGPBdtl5DNZs2is7lz55oN5Si2n+OOO+7Ar3/9a8yZM8cs+Nm4cSOuvvrqcdFdMlpEgofT0lYS1L5yPogsAi6keHtSfdxPTfcdOXIEDz/8MG6++WYcPXoUv/3tbzE2Nma2VbjjjjuwZ88ebNu2Dbt27UJHRwdWrVqF3bt3Y/Xq1XjqqafM0YzXXXcdvvvd7xo6yD1F/WRsbKzovRw6dAi7d+/G3r17Tf//6le/ijVr1mDhwoVobGzEFVdcgZ6eHnzlK1/B7NmzjfCkCXayCLnbhkctpdNp7Ny5E8uXL0dPT49ZcCbfhW0ertrj9ScleudUg3TXACgyn4FiFwcxNwJ1NJeQ5W4jWlDDmb2LidMEJMW+E4MljZPTQP9JK+KRJ9lstug/0UTMh2/YJQUTn9jkQoKeibRGEgokmOg4x/vuuw9bt241TIsYPxc2mUzGOrDI9y7T6LBt/j6Ak5o/tQ/XzOmw9eeeew7Dw8NoampCc3OzoZfeIZ3oRXv60F7+tMqXDmIBCgfnrF27Fu+++y46OjrQ2NiIlpYWrFu3DqtXrzZ9JpfLFWns8pm4hk4Tt0ChX/FJfK6B5nI5w+S4W4u3iW0eiSy9vXv3Ys+ePWZ18+OPP45f/vKX2Lt3LzZt2oRUKoUHH3wQBw8exOmnn47+/n6sXLkS3d3dGBoawpVXXonu7m589rOfxfnnn49nnnmmSKhQVBj95uNrzpw5uOqqq/CNb3wDP//5z9He3o533nkHixYtwq233momXFeuXIn29nbTR3gfaGhoKGo3WhhJ7hnaGkPrwj5JwHirWLpSbVZntTH8IESafhmQe5cE5SNks1lj8tMAczFzm4bBY/qpbnIfuBZlEWwROlID5+BaPg+F5JYKWRicWcty6FltA4PWHXzyySdoa2szA1KWQe0WBNc+Kdy/z9uJNEG5LkEphf7+flx//fXo7Ow0e96QgCXXCrVLLBZDS0sLnn76adN2vb29uP3229Hb24v29nazZ1A8HsemTZtw2WWXFQk4amuidWRkpIhZS0tFPgtp8/QuSAmQ79OPSXGrAQDeeOMN5HI5vPbaa3j22WfxyCOPYP369RgaGsJ1112Hiy++GAcOHEA6nUZ/fz+OHj2KWCyGZcuWYefOnfjxj3+Mnp4evP766+jv78dtt91mFqzZ6iblRlrO9P4ff/xx7Nq1C2+99RYeeOABnHfeebj//vtx5513mmfl6wxs21GUCmovahsAM4Lp+2n61btNXBWD+4IJnAnbQvWAkz5qGcMvmSfXvmgxFve5U902s93G+Kh8Tie3DDjd3LVAv3m93JqhMmXHp/tosNBz06lUxNCIEZPWxu/n7USHlNtWQWazWdM2NgFKg166MGi1K4H8/FQunX+7ZcsWJBIJpFIpNDc3m3zUlvF43DClHTt2YPHixchkMlizZg0AIJlMYnR0FI2Njcjn87jllluKGD6nmf+mOohe6ZqiaCLpqqL8fIU29SugWHPNZDJGCaGFWYRsNov6+nr09PTg3HPPRWdnJ1555RV0dHSYOl944QUcPXoUQEEzb2pqwre//W1s3rwZR48eRU9PD0477TRks1msW7cO6XS6iGaueMg5Ij5HU1dXh76+PsyfPx81NTXo6urCBRdcgJqaGtx1111FCgHNjXCfvBw7VIdNQZGuTVJ0+P08XzUy/CBEmn6JoI5q01755KcMeZR7wds0WhlS6WdFcNcSL4vuk/HE6XTaTErKVblEL/f1u+q0MV7pV5dwbQ9B6TwiiYSeK+ae6rMdZWdbO8DL8ovjly4OepZbbrkFvb29ZlWu1rroQBfS/hsbG9HV1YWHHnoIn/vc54ywpnOGOzo6sHHjRixfvtzaJq65FXpWnl/2J2Kkrufj+Ung8o3Y8vm8uZ8EhHyXN954I6644gr84he/QFdXF+688060trais7PTnCXw5S9/GS0tLVi8eDHy+TweeOABrFy5ErNnz8Y555xjmL1tW2IaV3w+SI6vbdu2YWxsDFdddRW6urpMWfweiqnnZfD6ZJ+Rk/FciHKhYbuP885qY/5+mn7E9CeAICbCmbjNzSFdChJBjJ+/O5vW76fNSIZoY+jEBMmNwUHmrnwmPsBs7SMH/PDwsJkc5c8lTXxelkv42OpxuTVsbc/LJcH8xBNP4OGHHwZwMhqnvr7erNol/34ymURvby/OO+88vP3225gzZ46xkk4//XTcddddWLJkiWk7roHzuRy/ze9soHu465CEhQwYsLU90S+vc/dSJpPB73//exw8eBCXX345YrEYuru7TfvTiVr0/8SJEzh27Bjy+Tx+97vfYdWqVZgzZ844ZszfN2BfvU7Xa2pq0NfXZ7ac4G0ilRW/PkH1BykUHC66qxnRRG6FYAsVtKVzZsLNQKkdcE2bT7iSiWpj+DxWmMol5mKLtJHgkTE00cfzkvZKaeRn5XSTW4MYFtHLffpjY2NFYYgU/cLDUoHCpChnaDx6h2vcJDhp4NpA6x34WgkSWuTSsbWDbSEOabuXXXaZObaQIkG01mbPHapPa202c5s9e7Z5t8lkEnfffTfmz59vJlGJsRNTpncmt4Wg90ACAiiO/eeuN3Jx0HPJdROUxvsHZ/hSsHNX18jICOrq6rBu3TosWLCgyC9Pq2uJ1tHRUbS0tGC+Fwp5/vnn489//rPZfZVbdVy7p2gb/i5p/NB7obBZct9wZs9ppza1hTvLyWoZVmxj6pLumY7Ip18C5Eu3mYl+eakjS81T7uXBfZBSC5LL7F2CxO8ZiKnQYOFWiHTTcBcM1S2ZLqeXnpE/k9baxFj7WZZcA7NpXFwrli427hu2TfySO8Om4UvhzZldV1eXOTyetF6K0qEY9LGxwgEcFPt/+umnY3h4GJ2dndi0aRPOPvtsAMVzHdwNJycG5ZwQCVMStvQM3EKm934AAAAa60lEQVQghsb7Ha+HNGP+7rib0dVvtNZIJpNYsWJFES1EQ1tbW1GfIAFOdJx11llmozrgpDCSFpys3xYYQGXyFdoc3Brk0XOyL3GtXVqUclKf6rW5o2aqEIg0/TIRxGjpOs9nG1zchJX5CTazl5gFZxJcS3bRSv9laKbN3Obgbg9b6CovS05O8mgK10Dhg0i2Cc8jQ1DJouDCjwsc7kKxMVTe7tIao8lAfgYA9/nX19ebDdpox8zm5ma0t7dj7ty52LRpE5YuXVrEPKSg52crcHpo507KK10TvM1d7hLONEk4UXvx67ydw7p75boASQ+9m6amJusiJmKirv5gmzOjtucfSROngYSKDX738pXwfvTNVERMv0xIJk1ak9QWbZO98jpnOFIokGYuTVC5EpczNGnWEqOWTJGXx8Gvy8HJF9NIZmHzldrS6Jk5TbwsHiIq75MTuDw2XUZVUZvKuQ3bFgcuV11dXR2SySRaWlrMCl1aB9DS0mLqbGxsRE1NDQYGBpDP53Hvvffi3HPPHad5y3fJn5m3jW3tAbU7f0YA1ggeqa0C4+P/eTsRDbY2p0lOXiYXKLJc3repT3NBIMsnmmV7SDcQL9PWjjY3TSwWG6elU7rrXtcqd05bkNVazYiYfoUgNUebhuFyAwVp2dyUp/+S4Urmwq/J8DKpLfvB5ePkNHHXEIc0zyUj45Pd0iLikJaCjWnzsqQglAJYMjnZXlIQxWIxpFIpE0ZITIdWkc6aVTiYvLW1FQ0NDdiwYYNZISohGSuvg/zG3AUn20FqszZ6peuKp3OrSDJcaZXxOmU7uqwxSau8h9wnrra2vRepYBCtsv9wunj72YSDtEz8AiYk5HicaYiYfplwafIElxuH4HLnuBhQGFr8rslooiDY6rVpUlSeS1gFQbo7/GhxrX8Axm9b4edKkvS5NEbSUmlXTZq4JYZDn0QiYbZ/oMPcbc/ogi2E19We8h0E9RGboiFXktvos/Vv/juISdosYfn+pEBy0WNjsrxf29KD0sJed1llkaZ/CqJUX5+chJRuHkqXZdnMXz9B4fffNVBsndelpfrdEwSX+R1Ut81ykczCxijkwJTCwwabxXLOOecY11JdXR1qa2tRW1uLhoYGs1Eeobm52Vy3MTQbk7IxWBm6yWnn74G7T6TLS8I1nyHpkbTY/N02q8mvLhds+aQwKEezdrmN6FoYzd7WF6hMmyt2pmBmUl2lcHUSW74wzM51LageP4E0Ee1EDsxSMdH6eb0uZm/LK91brnz0W2rUFJNeU1NjVrrSoRp0D7l+OLOWzNjmnqH7gwQ3T7dp32GVEJeQsSGs9WabtwmiI+i67Z35uZJcLrwglNMfZ7JrB4iY/qSiEuafyw1UTvlh87vyhRmAlaJhIghyXbgiOlxIJpNFvnyttdmLh+ogf3VY5g0Et4XL5z1VboWw7RRGeJQjYPzSS0WYPl2Je2YCIqZf5ZjpHaxcuFxg/Dr/dl0PW1dYkLUiTz8D7LtjniqYLAWkUvdFOIlocdYMQTkTVKWCNLJyXTel5pMaoF/USRjzn9fhxxxK0caBQkhkfX29OZiG9jTi2r5cTVsJ2CKvJgO2iJ5S6wzrbnRp/TLN1RfLHQfcxRak3UsXURhLZSYh0vQnEeWatGHhMv9LRSU7dKlac7nXg6Ke/DCRiCja915rbY64pPBN10Z1rjpLEU5hmfFka8IT7Suu+yfqeqwUShEgMxUR059GVGIAVcLPPpXwo9cvUkKi1AicoHps9RJIo6eoD9LAaU8citenldITqTdM/qliOmGjUyox3xBWoy9FkZqIhj4TxlK5iJh+mZgqzaSU+8O4FoK0xDD1BcWFh80bJk8p7hKtdWD+cuYA8vm8OXSbmDv37ROUUkWbhvmVx++pJFxCNYxFUS4t5biEyukXE7HQbNc/zYzdDxHTLwOlaBDlmuLldMhywuZk7HzYgSVDJ8ut05XHdq2cuiZKk9Ya2Wy2KGqHdnhUqhC7PzIyYq6HYfq2dg4rcIPonqoJVeDkIqVSy/SjWfZHjkq4tVzlh3WzfRoERcT0pxG2ySv5OywjrgTk/vflmO18VWyY+oLqsS0Ic5Udpk5ePtfSXSuolTq5s2ZdXZ0Jz6ytrTVx+UNDQ+agk6GhIWSz2XH1Sm3YFm9v216C02x7PhtjLGf+gCPsIjzbIr+wc0yufhbG5+96Ppm/lElfeq+u+vwiyWYaIqY/BSiHaVfK/1vKfbIM6YYoJ7TRD7aVoWG0OT/GUG7EiZ8vuL+/3zB2YgC0dz8xazpUPhaLIZ1Oh6ZBIowgDEI5DIrXIffgKcUiDWsB2u4JCxtz9rMeXfsYyXv9Js4/DcyeEDH9MjBZ5p6fliYRNBDLcR1Vall5EPPlPuSgjbtKmXStlKCU9B8+fLjo0I3R0VGzKpcY/PDwMLLZLOLxOI4cOWKlr1x6XD73Ul07YbVhnjeoL/ltK+6CH7N1gefhdYbdOtl23W8u49PE5CUipj9BTLRzuEz3csIZSWiQZuLq+EGMNiwNQQgzaUr0hmH6QaZ/GE3fpUFLTZdjeHi46KCPWCyGkZERpNPposNu6urqkMlkzGHhQXT7wcbMgtxXVE/Y8x385hY4Qw5bnu16mDTXZoQcpa5/CLKUSrkeJn0mIZDpK6W2KqX6lVJ/ZGntSqmXlVL7vO82L10ppf5OKbVfKfWeUuoids96L/8+pdT6yXmcqUfYic+ga0G7cpZKTxjtLOxgCDvJ5arHrw7aTMvlFgijSbrmP2xaathIE1kOHS1Ip40ppdDS0mIidsbGxvDJJ58gl8th+/btRWWVsp0B0SQPNwHsu2y6aJbpYa0FSUcYmm31+fn7JV1BE7Z+79BmLYTpQ2H7gaT/02ABhNH0/wHAKpF2N4BXtdaLALzq/QeA1QAWeZ+NAB4CCkICwHcA/DsAlwD4DgmKmYxypX4YJjpRV0sY09/PrLUxirBMphwrxQbX4HUJLbkbo02T5fe6XAaSxlgshtbWVmitzYlWdEYubcJGqKurQ19fX+hn8qNfMjQ/4RiWIbnmLlzM27bdc9B7t+1BFKY/uegNozT53RPW+vO759Pk1w/kLFrr1wEcE8k3APip9/unAG5k6T/TBbwFoFUpdQaALwB4WWt9TGt9HMDLGC9ITim43Dp+eUtBGH+1LY88wWmidNB9Lt/wRAZSqUwu6Lorb319vakvFouhrq4OiUTCnIlL5/HSweOHDx8298p9/Ut53lLmcvzeVSn1h3WnlSq4g/pdED2ue1zKUZCCYlMcKtFXZgLKVSfnaK17AcD77vTS5wI4wPJ97KW50sdBKbVRKbVDKbWDD55qRVgXgSut0qseK7nHt9Qq5f8wNIUN//MrO6jOsHMCtvL8QHk6OjrQ2to6rkzSzGfNmmV+x+NxZDKZcad4ha2L/w6yxMI8T1D0jR99/N2Ve5aCtFxtwijMGLIxcSl8/NrNRXcYYVRpZWW6UemJXFtLaJ/08Yla/0RrvUxrvey0006rKHFTjSCzNKyv10+zojJsZ4/aBoTfgOUrTYFiH7JtsNq0OJfLhT5+TCjMZDanj37LA2psZbjSwwze2bNnG22ejoqMx+PI5/Oor69HNpvFrFmzUFNTg9HRUZw4ccJE9fi5BcJq47Z+IoW7ZKrUNkq54//9hKWNPnnyWhilht8f5p4w/nuZ7leX7L+2/hn2vN2ZzOg5ymX6fZ7bBt53v5f+MYB5LN+ZAHp80mc0Jup2maj2FJaWUsq2CRgXE7LtABkUQqe1HseEXAMsTPtIZuISHH5MJyi9ra3N3E/bMNDK21wuh3g8brZpGB0dRTwex/Hjx6100fO7zsq10VKK0LD57MP2jSDFQL7voLZ0xccDxUqKK5pM/uf3yCMfOV28XCkASn3/n0aUy/SfB7De+70ewHMs/WuqgOUABjz3z0sArlFKtanCBO41XtqMBNeEZVoYcJPXzyS1XZMdl37zHR4lLbbzSW0I2sTML43oklEn/DcdNMInPvnzkFZsa1+pCcsDsKUbgYMLGpfW5vd877zzDlKpFGbNmoVUKgWtNZqbm039WmsT1UP19fb2WuvjFo+k0fU/yFrhkBE+RBvRassvy6NvmsS1HSDvqp/ns40JWz+kemz91lWfLbrJpsVrrU2/cx27aDvjeSJuwWpHmJDNJwC8CWCxUupjpdQGAP8VwNVKqX0Arvb+A8D/BfAhgP0AHgFwGwBorY8B+D6A7d7ne17ajIQfg/bTbvhvckv45XdNqnJGaTu0I2zH5JqTjdHa6rbl8RswktnZaJXHClK634pgm8+cVsgCMPvcU56amprQce4cBw8exKuvvmq2YojH42bXTR6rn8vlkEqlEI/HMTw8jAMHDlhqOAkupG1av20Pn1LnB7hrjdoZONk2Ns2eFqFx2oDx7kM/eqTmzt0nUpHheWQfkYxd9nWXBSqVCD/XGcHPZcXBx14lz06YSgQeoqK1Xue4dJUlrwbw145ytgLYWhJ1MwguxiWZGmeCpBlLyDzyPhfzlIObwDUpl0tBYmxszNzH6ZBlcCuC32P7Ly0jTqt8VrkPEJVHzJKfT2tzSdnABQJtqUBaIIGuEY3PPvssstksOjs7UV9fj8HBQSQSCeRyOdTX15vvfD6PZDKJEydOIJlM4v3338eaNWvG1S3BGRS5hrhlwtuBfst2Jdjy8vqpnVwHs1C5vJ2pj3Ih6qpfls/L4Bo+f1+2fs2v2/qsX/+nsmT/5ULFz4VJ7WYbR0S/vGemIVqROwH4aT/5fL5IgwvTQaQ27zJHbeD12Xyk5AMlmsnsJ81OKVU0sG2mNfejUl4/d4rNwiGtb2xszBkbzwfcyMjIOBeW1FTpmWlyNZ/PFzEc+Uz8ncg4dMp/7NgxbNmyBXv27MHixYuhlMK+ffuQyWQwNDRkDk9JpVJmD/14PI50Oo10Oo2+vj6nFSeZWCwWM3v3ELNqbGwcJ1CDLCyXz93mAuMaPU9XSlkFIrcSSDDI53NF+0gBETS/4bL4qP/RO6Y0uoe7aWxtJdvBNn6pDcIsCoyY/ikI6vxy8NBgpU7o0qh5fvrvCvWzmeJ0YhNpY+Qu4qbq6OhokUUh/ae0ulTSyLcXoG+u8dn8xFyoyJOkpEZHu1LKZ5LCgurkLgKbILUxR85guebH20Ayqnw+j7feegsPP/ww9u/fj66uLmitMTg4iEwmg+HhYcTjcbS3tyMejxtfPm2/3NTUhJaWFgwPD5tFWpJpUXvzd0XRP5zZyI3PCHSvawKUmJaccOcCP+gQd8n4qDx6p7y/2dw3BC4cpEuS91v5jAR6//z90dji7jxONy+HnjkWi43r+1IJsj0Dt7pmKpOXiJj+BGEbPFzj4gyITlmSCIqtpw5Je7hT9Ih0jVBeAEZzJKbOr0kGQh/S8DikEJIatGS81B61tbVF5fjNH9CzAShiAsQUuNXDtU9bdA+fJLZZDvy5uEAYGxvDzp07sXnzZjz22GM4fvw4MpkM9uzZgz/84Q8488wz0dLSgoGBASSTSYyOjuL48eOYNWsWkskk5s+fj9raWtTW1qK5uRkjIyN49NFHMTg4aOqW8wqk2XPLhbcnCcCxsTEzb0DlEBOU4YakwVPb8bkBm5vP1Sdt742Oh+QWITFgKYiJKfMypIbtCjvlbQIUIqaIdtryAii8azkJy904XKhKC5zq4/2YuxelskOCVo6PoDmAaoSqZqKXLVumd+zYMd1kjIP0R/N06SMGxvu9SUOizmTT6qVf0kWHTfvg2/yGoZ2XQ35lWR6tNiV6uO+bnhEo3k+fu2ikEJBw5clmsyZGnkCDnmjhdNGzjI6OFgk8F4aHh3Hw4EH86le/wvbt25FIJAzdAwMDSCQS2LVrF5qampDJZJDL5bBw4UKk02l88MEHaGpqQiKRwPDwMDo6OjAwMIBYLIb58+djYGAAAwMDWLNmDdavX2/24ye4LBHbe7W1t83i4e8v7FwHv4+sw1mzZhnN3tYPaUdR2ceGh4fR0NDgWzd3J9IhNFQfudxcc0i256S+Juc0qA7KR5aWnBfJZDJm1TWH7bllWiltPJVQSr2jtV5mvRYx/fBwaQgSfh2BOjq5ZqiTuyYv5SAmYWGbjCSBwjVc7jOWB3fLwUd1cQbMn4Xoo+ukoZMv3RbCytuBPzv3EdNA5AMUODkYyUWQSqWMj5/i5UkoZLNZc420xHy+cNhJKpWCUgoDAwPmlKv6+nocPnwYH3zwAQYHB5FOp9HU1ITjx48jHo8jkUiYyJyamhocOXIEtbW1OHz4MIaGhtDc3IyxsTEcO3YMZ5xxBhobG5HJZPDhhx+iu7sbqVQKn3zyCU6cOIFFixYhl8shkUhgYGAA8XgcdXV1iMfj6OrqQmdnJ0ZGRnDo0CEcOnQIy5cvx9y5c3HppZeaSePGxkajaScSCeMio+en7Z4bGxvH9Rtb/wuajCXIqJp8Pm9OD3OVGYYRuugDiieUpZuJ0y37HFcQOA3UX21jgLR3OabIPcmficaS/B0x/Qqimpg+f7lSM+ZRApJB2mBjkHKg+UVpuDov1c+ZNnVqm4bj12GDrAxOOzFr2yAlemngEMPg7gmen/4PDg4il8sZhtzX14eBgQEjTAYHBzE6OopsNlvEnIeGhgwNqVSqqF1o4I+MjKChocEsqOJMhlwLxNzomShCp7a2Fg0NDUZYZrNZI4R4e9TV1RUJvlwuh6amJrMPfyKRwPHjx9HU1FS0ypcEXS6XQzqdxty5c037kGZNbUQhpHSqV1tbmznRK5lMmvwkFAEYumz9lM+HDA8Po7a2tmjuxtafqe24pSCtGd4/pcDgfcQ2gUztycNPuXXE3X5+yhjR5YrisVkWLivcZs1XG/yYfmDIZoQCXNEFvBNy+GkBfhNo/L9Lo5EMn+ojcA2KGD33K3O4aAwyazmtPHzSxhhoMBNj4/TKduITnBTFkkgk0Nraana1BApWAA1SPnlMWyKQ75ZcFfybrAr57niYpJwMpHYkrZCEKZVHH5prkW40zmT5RCx/L7wemqSsr69HOp1GTU3NuOglKiOVSiGdTiObzaKmpgbJZBJAYaO4+vp6xONxYxnJd87nTzgDbWxsLPJXu5QDeh98rsfGNKlvuBQh3k68n/H+ZaNDPofLfSbzybw2V5lr7AbNwVU7IqY/QdgYMME1UILMQXm91E4m73dpJaWYpX6ajW3A2PLYBqH8TfWQm2KiKNX8tlm+Mo1P9IUtw0YTCQZK4y4DmU+67LjwIZokY5X9RoZfymci2EI/w/ZZF1PlUUo2+PXxIIFT6n0TRTW6c0pBVbt3lFIpAHunm44Q6ABwJDDX9COis7KI6KwsZgKdM4FGAOjWWlt3rKx2TX+vyy9VTVBK7YjorBwiOiuLiM7KYSbQGISZ7ZyKECFChAglIWL6ESJEiHAKodqZ/k+mm4CQiOisLCI6K4uIzsphJtDoi6qeyI0QIUKECJVFtWv6ESJEiBChgqhapq+UWqWU2quU2q+UunuaaZmnlPq1UupPSqndSqlveel/q5Q6qJR61/t8kd3zXzza9yqlvjBFdP5FKfW+R8sOL61dKfWyUmqf993mpSul1N95NL6nlLpoimhczNrrXaXUCaXU7dXQlkqprUqpfqXUH1laye2nlFrv5d+nlFpvq2sS6PzvSql/8Wh5RinV6qXPV0oNs3b9e3bPZ7z+st97looGoDvoLPk9TzYvcND5T4zGvyil3vXSp609Kwa+2KNaPgBqAHwA4CwAtQB2ATh3Guk5A8BF3u9mAP8K4FwAfwvgP1vyn+vRXAdggfcsNVNA518AdIi0/wbgbu/33QDu935/EcCLABSA5QDenqb3fAhAdzW0JYCVAC4C8Mdy2w9AOwqnx7UDaPN+t00BndcAmOX9vp/ROZ/nE+X8AcCl3jO8CGD1FNBZ0nueCl5go1Nc/x8A7pvu9qzUp1o1/UsA7Ndaf6i1HgHwJIAbposYrXWv1nqn9zsF4E8A5vrccgOAJ7XWWa31n1E4PvKSyafUSctPvd8/BXAjS/+ZLuAtAK3KO+x+CnEVgA+01h/55JmyttRavw5AHuNZavt9AcDLWutjWuvjAF4GsGqy6dRa/7PWmvYjfgvAmX5leLQmtdZv6gLH+hlOPtuk0ekD13uedF7gR6enrX8FwBN+ZUxFe1YK1cr05wLgh4x+DH8mO2VQSs0HcCGAt72k/+SZ1FvJ9Mf00a8B/LNS6h2l1EYvbY4uHE4P77tzmmnkuAnFg6ma2pJQavtNN70A8A0UNE3CAqXU/1NK/VYpdbmXNtejjTCVdJbynqe7PS8H0Ke13sfSqq09S0K1Mn2bL2zaw4yUUk0A/g+A27XWJwA8BGAhgAsA9KJgBgLTR/9ntdYXAVgN4K+VUit98k5rGyulagFcD+BpL6na2jIILrqmu13vBZAD8I9eUi+Af6O1vhDAHQC2KaWSmD46S33P0/3+16FYMam29iwZ1cr0PwYwj/0/E0DPNNECAFBKxVFg+P+otf4FAGit+7TWY1rrPIBHcNLtMC30a617vO9+AM949PSR28b77p9OGhlWA9ipte4Dqq8tGUptv2mj15s0/hKAr3ouBnjukqPe73dQ8I+f7dHJXUBT1UdLfc/T2Z6zAPwHAP9EadXWnuWgWpn+dgCLlFILPI3wJgDPTxcxnl/vUQB/0lr/T5bOfeD/HgDN/j8P4CalVJ1SagGARShM8kwmjQmlVDP9RmFi748eLRRBsh7Ac4zGr3lRKMsBDJAbY4pQpEFVU1sKlNp+LwG4RinV5rkurvHSJhVKqVUA/gbA9VrrNEs/TSlV4/0+C4X2+9CjNaWUWu7176+xZ5tMOkt9z9PJCz4P4F+01sZtU23tWRameybZ9UEhOuJfUZCk904zLStQMNXeA/Cu9/kigMcBvO+lPw/gDHbPvR7tezEFs/goRDfs8j67qc0AzAbwKoB93ne7l64APOjR+D6AZVPYno0AjgJoYWnT3pYoCKFeAKMoaG4bymk/FHzq+73P16eIzv0o+L6pf/69l3eN1x92AdgJ4DpWzjIUmO4HAP4XvMWak0xnye95snmBjU4v/R8A3CryTlt7VuoTrciNECFChFMI1ereiRAhQoQIk4CI6UeIECHCKYSI6UeIECHCKYSI6UeIECHCKYSI6UeIECHCKYSI6UeIECHCKYSI6UeIECHCKYSI6UeIECHCKYT/D8ZA7v0mUPNWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos\n",
    "plt.imshow(A_zip, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cantidad de datos originales:  2164000\n",
      "Cantidad de datos en la imagen comprimida:  616600\n",
      "Porcentaje de compresión:  28.493530499075785\n"
     ]
    }
   ],
   "source": [
    "# Calculamos la cantidad de datos en este caso. \n",
    "k = 200\n",
    "[nr, nc] = A.shape\n",
    "cant = k * nr + k * nc + k   # Datos en U, V y S respectivamente\n",
    "print(\"Cantidad de datos originales: \", nr * nc)\n",
    "print(\"Cantidad de datos en la imagen comprimida: \", cant)\n",
    "print(\"Porcentaje de compresión: \", cant / (nr*nc) * 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x22769302f88>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Probamos eliminar más valores singulares\n",
    "k = 40\n",
    "A_zip = U[:,:k] @ S_trunc[:k,:k] @ Vh[:k,]\n",
    "A_zip = np.minimum(np.ones(A.shape), A_zip)\n",
    "A_zip = np.maximum(np.zeros(A.shape), A_zip)\n",
    "plt.imshow(A_zip, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cantidad de datos originales:  2164000\n",
      "Cantidad de datos en la imagen comprimida:  123320\n",
      "Porcentaje de compresión:  5.6987060998151575\n"
     ]
    }
   ],
   "source": [
    "# Calculamos la cantidad de datos en este caso. \n",
    "k = 40\n",
    "[nr, nc] = A.shape\n",
    "cant = k * nr + k * nc + k   # Datos en U, V y S respectivamente\n",
    "print(\"Cantidad de datos originales: \", nr * nc)\n",
    "print(\"Cantidad de datos en la imagen comprimida: \", cant)\n",
    "print(\"Porcentaje de compresión: \", cant / (nr*nc) * 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ejercicio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Repetir estos pasos para el ejemplo `quijote.jpg` de la práctica, y resolver los ejercicios 9 a 13."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Reducción de dimensionalidad"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Repasando la estrategia utilizada para compresión de imágenes, vemos que SVD encuentra automáticamente relaciones entre columnas. Es decir, escribe a todas las columnas de la imagen como combinación lineal de unas pocas columnas: en forma exacta en el primer ejemplo, y en forma aproximada en el segundo ejemplo.\n",
    "\n",
    "Esta misma idea podemos usarla para detectar relaciones entre variables de datos, y también para eliminar variables redundantes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ejemplo (datos simulados) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[100 100 757 200]\n",
      " [ 70  80 603 150]\n",
      " [ 50  90 700 140]\n",
      " [150  40 250 190]\n",
      " [ 80  10  42  90]]\n"
     ]
    }
   ],
   "source": [
    "A = np.array([[100, 100, 757, 200], [70, 80, 603, 150], [50, 90, 700, 140], [150, 40, 250, 190], [80, 10, 42, 90]])\n",
    "print(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculamos el rango\n",
    "np.linalg.matrix_rank(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Utilizamos la descomposición en valores singulares para ver si hay más dependencias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Ojo, SVD de Python nos da la matriz V*, no la matriz V.\n",
    "[U, S, Vh] = np.linalg.svd(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.28383536e+03 2.03685842e+02 9.13996325e-01 4.16167276e-14]\n"
     ]
    }
   ],
   "source": [
    "# Valores singulares\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vemos que la matrix tiene rango 3, pero esta muy cerca de una matriz de rango 2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Descomposición SVD para detectar relaciones entre variables.\n",
    "\n",
    "La descomposición SVD nos permite encontrar los coeficientes de las relaciones de dependencia lineal entre variables.\n",
    "\n",
    "A partir de la fórmula $A = U \\Sigma V^*$, obtenemos\n",
    "$$\n",
    "A V = U \\Sigma.\n",
    "$$\n",
    "\n",
    "Como $U$ es unitaria, sus columnas tienen norma 1. Por lo tanto, la $i$-ésima columna de la matriz $U \\Sigma$ tiene norma $\\sigma_i$. Si $\\sigma_i$ es chico, también lo será la norma de la $i$-ésima columna de $U \\Sigma$.\n",
    "\n",
    "A la vez, como $A V = U \\Sigma$, las columnas de $U \\Sigma$ son combinación lineal de las columnas de $A$ y \n",
    "los coeficientes de la combinación correspondiente a la $i$-ésima columna de $U \\Sigma$ son los coeficientes de la $i$-ésima columna de $V$. \n",
    "\n",
    "En conclusión, cuando $\\sigma_i$ es chico, si tomamos una combinación de las columnas de $A$ con coeficientes dados por la $i$-esima columna de $V$, obtenemos un vector de norma chica. Observemos que $V$ también es unitaria, y por lo tanto las columnas de $V$ son vectores de norma-2 igual a 1. Es decir, estamos tomando una combinación de columnas de $A$ con coeficientes \"grandes\" y nos da un vector de norma \"chica\".  Esto implica una relación de dependencia lineal (aproximada) de las columnas de $A$.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.58, -0.58, -0.  ,  0.58])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Buscamos la relacion de dependencia lineal\n",
    "# Miramos la ultima columna de V\n",
    "V = np.transpose(Vh)\n",
    "np.round(V[:,3],2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La última columna es igual a la suma de las dos primeras."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.44  0.81 -0.15  0.37]\n"
     ]
    }
   ],
   "source": [
    "# Si queremos buscar la relación correspondiente al tercer valor singular...\n",
    "print(np.round(V[:,2],2))\n",
    "\n",
    "# Verificamos\n",
    "#q = V[:,2]\n",
    "#print(A @ np.transpose(q))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vemos una relación, pero como la cuarta columna es combinación de las primeras dos, es preferible primero eliminar la 4ta columna (o la primera o la segunda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.24202415e+03 1.44213073e+02 7.70405413e-01]\n"
     ]
    }
   ],
   "source": [
    "B = A[:, 0:3]\n",
    "[UB, SB, VhB] = np.linalg.svd(B)\n",
    "print(SB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.06,  0.99, -0.12])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.round(VhB[2,:],2)\n",
    "#np.round(VhB[2,:]/VhB[2,0],2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.30026665,  0.66723306, -0.23463321, -0.04819725,  0.028085  ])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B @ VhB[2,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### Ejemplo (datos de exportaciones argentinas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Leemos los datos de un archivo CSV\n",
    "import pandas as pd   \n",
    "datos = pd.read_csv(\"variablesExportacion_soloExpo.csv\")   # dataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ano</th>\n",
       "      <th>EXPO_TOT_2004</th>\n",
       "      <th>EXPO_AGROP_2004</th>\n",
       "      <th>EXPO_PAMP_2004</th>\n",
       "      <th>EXPO_PECUAR_2004</th>\n",
       "      <th>EXPO_CARNES_2004</th>\n",
       "      <th>EXPO_LECHE_2004</th>\n",
       "      <th>EXPO_LANAS_2004</th>\n",
       "      <th>EXPO_CUEROS_PP_2004</th>\n",
       "      <th>EXPO_AGRIC_2004</th>\n",
       "      <th>...</th>\n",
       "      <th>EXPO_TEXTIL_2004</th>\n",
       "      <th>EXPO_CUEROIND_2004</th>\n",
       "      <th>EXPO_PAPEL_2004</th>\n",
       "      <th>EXPO_CAUCHO_2004</th>\n",
       "      <th>EXPO_QUIMICO_2004</th>\n",
       "      <th>EXPO_COMBIUST_2004</th>\n",
       "      <th>EXPO_HIERRO_2004</th>\n",
       "      <th>EXPO_METNOFERR_2004</th>\n",
       "      <th>EXPO_MAQUIN_2004</th>\n",
       "      <th>EXPO_RESTOIND_2004</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1966.0</td>\n",
       "      <td>6333634.22</td>\n",
       "      <td>5675922.71</td>\n",
       "      <td>5563724.31</td>\n",
       "      <td>2220807.38</td>\n",
       "      <td>1145566.34</td>\n",
       "      <td>62187.36</td>\n",
       "      <td>239060.01</td>\n",
       "      <td>575541.23</td>\n",
       "      <td>3450986.58</td>\n",
       "      <td>...</td>\n",
       "      <td>1654.99</td>\n",
       "      <td>6829.96</td>\n",
       "      <td>67888.28</td>\n",
       "      <td>2077.04</td>\n",
       "      <td>97591.20</td>\n",
       "      <td>311724.52</td>\n",
       "      <td>44269.74</td>\n",
       "      <td>806.45</td>\n",
       "      <td>75912.46</td>\n",
       "      <td>36073.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1967.0</td>\n",
       "      <td>5835217.42</td>\n",
       "      <td>5254582.56</td>\n",
       "      <td>5111380.39</td>\n",
       "      <td>2410845.43</td>\n",
       "      <td>1198095.93</td>\n",
       "      <td>69107.85</td>\n",
       "      <td>201213.99</td>\n",
       "      <td>660760.91</td>\n",
       "      <td>2839752.13</td>\n",
       "      <td>...</td>\n",
       "      <td>3279.87</td>\n",
       "      <td>6921.54</td>\n",
       "      <td>74308.04</td>\n",
       "      <td>4467.94</td>\n",
       "      <td>100669.08</td>\n",
       "      <td>167739.99</td>\n",
       "      <td>61943.90</td>\n",
       "      <td>1986.35</td>\n",
       "      <td>102067.27</td>\n",
       "      <td>38712.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1968.0</td>\n",
       "      <td>4558947.98</td>\n",
       "      <td>3685459.82</td>\n",
       "      <td>3371157.68</td>\n",
       "      <td>2277316.06</td>\n",
       "      <td>1028137.99</td>\n",
       "      <td>47745.33</td>\n",
       "      <td>241060.03</td>\n",
       "      <td>725768.04</td>\n",
       "      <td>1403969.22</td>\n",
       "      <td>...</td>\n",
       "      <td>6520.45</td>\n",
       "      <td>12276.03</td>\n",
       "      <td>105886.36</td>\n",
       "      <td>10769.84</td>\n",
       "      <td>121251.59</td>\n",
       "      <td>256832.23</td>\n",
       "      <td>131592.17</td>\n",
       "      <td>5885.19</td>\n",
       "      <td>143196.80</td>\n",
       "      <td>53470.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1969.0</td>\n",
       "      <td>5175646.33</td>\n",
       "      <td>4350920.16</td>\n",
       "      <td>4054621.02</td>\n",
       "      <td>2755310.97</td>\n",
       "      <td>1442774.46</td>\n",
       "      <td>58833.60</td>\n",
       "      <td>182534.32</td>\n",
       "      <td>789340.73</td>\n",
       "      <td>1592394.96</td>\n",
       "      <td>...</td>\n",
       "      <td>7009.26</td>\n",
       "      <td>17796.64</td>\n",
       "      <td>135684.74</td>\n",
       "      <td>24872.42</td>\n",
       "      <td>150879.31</td>\n",
       "      <td>88739.43</td>\n",
       "      <td>111081.11</td>\n",
       "      <td>6804.84</td>\n",
       "      <td>210312.47</td>\n",
       "      <td>44336.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1970.0</td>\n",
       "      <td>4184635.10</td>\n",
       "      <td>3341704.72</td>\n",
       "      <td>2996037.07</td>\n",
       "      <td>1441522.79</td>\n",
       "      <td>1242994.34</td>\n",
       "      <td>30082.71</td>\n",
       "      <td>168445.74</td>\n",
       "      <td>803060.27</td>\n",
       "      <td>1888866.22</td>\n",
       "      <td>...</td>\n",
       "      <td>16289.54</td>\n",
       "      <td>42923.12</td>\n",
       "      <td>102325.10</td>\n",
       "      <td>21749.05</td>\n",
       "      <td>134120.08</td>\n",
       "      <td>96569.38</td>\n",
       "      <td>113306.75</td>\n",
       "      <td>8194.50</td>\n",
       "      <td>236319.25</td>\n",
       "      <td>38535.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1971.0</td>\n",
       "      <td>4322811.98</td>\n",
       "      <td>3394203.42</td>\n",
       "      <td>3082926.56</td>\n",
       "      <td>1621378.16</td>\n",
       "      <td>828351.87</td>\n",
       "      <td>54747.81</td>\n",
       "      <td>162433.19</td>\n",
       "      <td>484022.56</td>\n",
       "      <td>1758401.13</td>\n",
       "      <td>...</td>\n",
       "      <td>7317.05</td>\n",
       "      <td>17137.52</td>\n",
       "      <td>99350.58</td>\n",
       "      <td>13193.28</td>\n",
       "      <td>128681.86</td>\n",
       "      <td>115212.21</td>\n",
       "      <td>137527.10</td>\n",
       "      <td>4870.73</td>\n",
       "      <td>277896.88</td>\n",
       "      <td>79201.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1972.0</td>\n",
       "      <td>4298510.74</td>\n",
       "      <td>3289516.91</td>\n",
       "      <td>2954887.33</td>\n",
       "      <td>2033833.42</td>\n",
       "      <td>1221781.30</td>\n",
       "      <td>99317.83</td>\n",
       "      <td>166737.63</td>\n",
       "      <td>467528.82</td>\n",
       "      <td>1232810.26</td>\n",
       "      <td>...</td>\n",
       "      <td>9438.89</td>\n",
       "      <td>25828.74</td>\n",
       "      <td>114106.97</td>\n",
       "      <td>16712.47</td>\n",
       "      <td>148240.16</td>\n",
       "      <td>72426.68</td>\n",
       "      <td>143596.40</td>\n",
       "      <td>5783.06</td>\n",
       "      <td>373268.93</td>\n",
       "      <td>46760.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1973.0</td>\n",
       "      <td>5016985.22</td>\n",
       "      <td>3408794.66</td>\n",
       "      <td>3033972.05</td>\n",
       "      <td>1585888.12</td>\n",
       "      <td>989475.01</td>\n",
       "      <td>87898.55</td>\n",
       "      <td>158413.80</td>\n",
       "      <td>292125.37</td>\n",
       "      <td>1767175.10</td>\n",
       "      <td>...</td>\n",
       "      <td>15627.53</td>\n",
       "      <td>91642.16</td>\n",
       "      <td>163861.27</td>\n",
       "      <td>26719.03</td>\n",
       "      <td>167672.33</td>\n",
       "      <td>54681.09</td>\n",
       "      <td>252798.66</td>\n",
       "      <td>15702.46</td>\n",
       "      <td>669384.50</td>\n",
       "      <td>72400.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1974.0</td>\n",
       "      <td>4823621.97</td>\n",
       "      <td>2999981.00</td>\n",
       "      <td>2444161.04</td>\n",
       "      <td>935528.07</td>\n",
       "      <td>516346.61</td>\n",
       "      <td>53263.43</td>\n",
       "      <td>92075.27</td>\n",
       "      <td>231389.48</td>\n",
       "      <td>1984893.91</td>\n",
       "      <td>...</td>\n",
       "      <td>7564.56</td>\n",
       "      <td>113106.14</td>\n",
       "      <td>169299.36</td>\n",
       "      <td>25821.38</td>\n",
       "      <td>156176.49</td>\n",
       "      <td>50730.17</td>\n",
       "      <td>187779.36</td>\n",
       "      <td>16720.89</td>\n",
       "      <td>868564.78</td>\n",
       "      <td>90194.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1975.0</td>\n",
       "      <td>3936228.16</td>\n",
       "      <td>2550241.00</td>\n",
       "      <td>2049386.26</td>\n",
       "      <td>892572.22</td>\n",
       "      <td>467205.41</td>\n",
       "      <td>80058.35</td>\n",
       "      <td>154969.91</td>\n",
       "      <td>170249.32</td>\n",
       "      <td>1583809.90</td>\n",
       "      <td>...</td>\n",
       "      <td>2545.22</td>\n",
       "      <td>42859.16</td>\n",
       "      <td>79654.27</td>\n",
       "      <td>5126.76</td>\n",
       "      <td>141018.64</td>\n",
       "      <td>63290.79</td>\n",
       "      <td>53656.60</td>\n",
       "      <td>6219.45</td>\n",
       "      <td>882279.19</td>\n",
       "      <td>38403.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1976.0</td>\n",
       "      <td>5751513.91</td>\n",
       "      <td>3986213.10</td>\n",
       "      <td>3279040.46</td>\n",
       "      <td>1745664.71</td>\n",
       "      <td>969475.61</td>\n",
       "      <td>195320.40</td>\n",
       "      <td>186459.30</td>\n",
       "      <td>325523.22</td>\n",
       "      <td>2106134.34</td>\n",
       "      <td>...</td>\n",
       "      <td>12002.50</td>\n",
       "      <td>103426.97</td>\n",
       "      <td>91312.15</td>\n",
       "      <td>4947.44</td>\n",
       "      <td>187409.85</td>\n",
       "      <td>107808.95</td>\n",
       "      <td>184035.75</td>\n",
       "      <td>9205.07</td>\n",
       "      <td>849573.46</td>\n",
       "      <td>86569.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1977.0</td>\n",
       "      <td>7911668.35</td>\n",
       "      <td>5598341.72</td>\n",
       "      <td>4574438.34</td>\n",
       "      <td>1930828.66</td>\n",
       "      <td>1106191.15</td>\n",
       "      <td>121418.10</td>\n",
       "      <td>260794.47</td>\n",
       "      <td>343730.00</td>\n",
       "      <td>3450263.72</td>\n",
       "      <td>...</td>\n",
       "      <td>32672.21</td>\n",
       "      <td>213135.79</td>\n",
       "      <td>296804.66</td>\n",
       "      <td>11761.94</td>\n",
       "      <td>233060.20</td>\n",
       "      <td>122696.79</td>\n",
       "      <td>160297.82</td>\n",
       "      <td>17553.32</td>\n",
       "      <td>917039.08</td>\n",
       "      <td>139957.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1978.0</td>\n",
       "      <td>8825240.84</td>\n",
       "      <td>6278163.92</td>\n",
       "      <td>5005553.30</td>\n",
       "      <td>2502354.75</td>\n",
       "      <td>1430147.87</td>\n",
       "      <td>92345.88</td>\n",
       "      <td>349572.74</td>\n",
       "      <td>440422.34</td>\n",
       "      <td>3458896.04</td>\n",
       "      <td>...</td>\n",
       "      <td>54389.43</td>\n",
       "      <td>249548.93</td>\n",
       "      <td>142230.95</td>\n",
       "      <td>19438.63</td>\n",
       "      <td>286108.03</td>\n",
       "      <td>191758.84</td>\n",
       "      <td>373889.73</td>\n",
       "      <td>34035.82</td>\n",
       "      <td>880688.88</td>\n",
       "      <td>127371.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1979.0</td>\n",
       "      <td>8284130.20</td>\n",
       "      <td>6182234.65</td>\n",
       "      <td>5127980.89</td>\n",
       "      <td>2147306.26</td>\n",
       "      <td>1271438.42</td>\n",
       "      <td>38767.51</td>\n",
       "      <td>247506.30</td>\n",
       "      <td>474030.67</td>\n",
       "      <td>3671196.82</td>\n",
       "      <td>...</td>\n",
       "      <td>34440.77</td>\n",
       "      <td>168719.85</td>\n",
       "      <td>124066.88</td>\n",
       "      <td>10599.03</td>\n",
       "      <td>218476.67</td>\n",
       "      <td>125801.61</td>\n",
       "      <td>241450.85</td>\n",
       "      <td>62144.14</td>\n",
       "      <td>820923.23</td>\n",
       "      <td>118243.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1980.0</td>\n",
       "      <td>7301979.81</td>\n",
       "      <td>5004315.33</td>\n",
       "      <td>4099114.51</td>\n",
       "      <td>1632365.10</td>\n",
       "      <td>854742.85</td>\n",
       "      <td>35878.11</td>\n",
       "      <td>262897.22</td>\n",
       "      <td>437386.53</td>\n",
       "      <td>3127348.13</td>\n",
       "      <td>...</td>\n",
       "      <td>36190.07</td>\n",
       "      <td>137001.23</td>\n",
       "      <td>118063.58</td>\n",
       "      <td>9499.69</td>\n",
       "      <td>273959.50</td>\n",
       "      <td>399581.78</td>\n",
       "      <td>143353.77</td>\n",
       "      <td>126009.15</td>\n",
       "      <td>797655.08</td>\n",
       "      <td>107122.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1981.0</td>\n",
       "      <td>8309646.82</td>\n",
       "      <td>5772686.73</td>\n",
       "      <td>4934499.26</td>\n",
       "      <td>1801089.17</td>\n",
       "      <td>887786.08</td>\n",
       "      <td>54309.30</td>\n",
       "      <td>319838.53</td>\n",
       "      <td>492311.03</td>\n",
       "      <td>3727345.86</td>\n",
       "      <td>...</td>\n",
       "      <td>12854.93</td>\n",
       "      <td>124478.60</td>\n",
       "      <td>84485.26</td>\n",
       "      <td>18328.74</td>\n",
       "      <td>261753.14</td>\n",
       "      <td>799692.91</td>\n",
       "      <td>212786.84</td>\n",
       "      <td>145561.04</td>\n",
       "      <td>664342.33</td>\n",
       "      <td>102199.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1982.0</td>\n",
       "      <td>8349587.37</td>\n",
       "      <td>5594525.69</td>\n",
       "      <td>4609505.85</td>\n",
       "      <td>1732377.23</td>\n",
       "      <td>993916.15</td>\n",
       "      <td>101542.22</td>\n",
       "      <td>255329.63</td>\n",
       "      <td>353937.49</td>\n",
       "      <td>3445727.15</td>\n",
       "      <td>...</td>\n",
       "      <td>14152.93</td>\n",
       "      <td>114144.68</td>\n",
       "      <td>76088.59</td>\n",
       "      <td>21041.44</td>\n",
       "      <td>297614.47</td>\n",
       "      <td>742106.80</td>\n",
       "      <td>297684.61</td>\n",
       "      <td>171703.64</td>\n",
       "      <td>800085.27</td>\n",
       "      <td>76874.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1983.0</td>\n",
       "      <td>8945548.68</td>\n",
       "      <td>6732292.60</td>\n",
       "      <td>5636243.89</td>\n",
       "      <td>1479480.57</td>\n",
       "      <td>765310.44</td>\n",
       "      <td>99153.39</td>\n",
       "      <td>262493.09</td>\n",
       "      <td>326517.99</td>\n",
       "      <td>4846172.70</td>\n",
       "      <td>...</td>\n",
       "      <td>11176.64</td>\n",
       "      <td>62598.70</td>\n",
       "      <td>72112.06</td>\n",
       "      <td>25791.07</td>\n",
       "      <td>355818.06</td>\n",
       "      <td>594216.93</td>\n",
       "      <td>316334.84</td>\n",
       "      <td>110551.38</td>\n",
       "      <td>420022.14</td>\n",
       "      <td>53631.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1984.0</td>\n",
       "      <td>8645818.76</td>\n",
       "      <td>6466933.73</td>\n",
       "      <td>5405149.24</td>\n",
       "      <td>1184945.48</td>\n",
       "      <td>479166.34</td>\n",
       "      <td>39081.06</td>\n",
       "      <td>281116.46</td>\n",
       "      <td>344766.33</td>\n",
       "      <td>4889868.25</td>\n",
       "      <td>...</td>\n",
       "      <td>11522.91</td>\n",
       "      <td>39610.76</td>\n",
       "      <td>89005.30</td>\n",
       "      <td>26671.35</td>\n",
       "      <td>376725.48</td>\n",
       "      <td>453416.99</td>\n",
       "      <td>302284.85</td>\n",
       "      <td>110999.85</td>\n",
       "      <td>569917.80</td>\n",
       "      <td>49879.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1985.0</td>\n",
       "      <td>10692657.94</td>\n",
       "      <td>7270273.81</td>\n",
       "      <td>6162347.99</td>\n",
       "      <td>1292004.75</td>\n",
       "      <td>509444.66</td>\n",
       "      <td>43853.64</td>\n",
       "      <td>284244.27</td>\n",
       "      <td>413026.52</td>\n",
       "      <td>5682726.03</td>\n",
       "      <td>...</td>\n",
       "      <td>16743.95</td>\n",
       "      <td>44235.56</td>\n",
       "      <td>85142.03</td>\n",
       "      <td>42033.71</td>\n",
       "      <td>450275.40</td>\n",
       "      <td>1029202.33</td>\n",
       "      <td>584403.49</td>\n",
       "      <td>213805.09</td>\n",
       "      <td>745565.05</td>\n",
       "      <td>65219.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1986.0</td>\n",
       "      <td>9234882.99</td>\n",
       "      <td>6583697.40</td>\n",
       "      <td>5634505.48</td>\n",
       "      <td>1389821.70</td>\n",
       "      <td>536488.12</td>\n",
       "      <td>43269.17</td>\n",
       "      <td>289746.67</td>\n",
       "      <td>476432.22</td>\n",
       "      <td>4831407.03</td>\n",
       "      <td>...</td>\n",
       "      <td>27273.18</td>\n",
       "      <td>68742.71</td>\n",
       "      <td>79678.45</td>\n",
       "      <td>32603.53</td>\n",
       "      <td>457297.26</td>\n",
       "      <td>392121.57</td>\n",
       "      <td>595191.53</td>\n",
       "      <td>174687.46</td>\n",
       "      <td>614627.49</td>\n",
       "      <td>81315.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1987.0</td>\n",
       "      <td>8469049.96</td>\n",
       "      <td>5871082.71</td>\n",
       "      <td>4859278.61</td>\n",
       "      <td>1323033.26</td>\n",
       "      <td>542157.64</td>\n",
       "      <td>39866.99</td>\n",
       "      <td>251565.81</td>\n",
       "      <td>450666.79</td>\n",
       "      <td>4165323.18</td>\n",
       "      <td>...</td>\n",
       "      <td>40728.94</td>\n",
       "      <td>122849.61</td>\n",
       "      <td>127298.73</td>\n",
       "      <td>44573.35</td>\n",
       "      <td>498927.01</td>\n",
       "      <td>196287.91</td>\n",
       "      <td>587745.30</td>\n",
       "      <td>190039.53</td>\n",
       "      <td>501205.94</td>\n",
       "      <td>116581.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1988.0</td>\n",
       "      <td>10507660.29</td>\n",
       "      <td>7029777.93</td>\n",
       "      <td>5690800.84</td>\n",
       "      <td>1409692.52</td>\n",
       "      <td>638378.28</td>\n",
       "      <td>86803.40</td>\n",
       "      <td>207570.16</td>\n",
       "      <td>432204.81</td>\n",
       "      <td>5208694.91</td>\n",
       "      <td>...</td>\n",
       "      <td>74696.73</td>\n",
       "      <td>126512.32</td>\n",
       "      <td>191819.26</td>\n",
       "      <td>62820.34</td>\n",
       "      <td>684411.12</td>\n",
       "      <td>357591.04</td>\n",
       "      <td>818560.35</td>\n",
       "      <td>204028.58</td>\n",
       "      <td>552757.54</td>\n",
       "      <td>191468.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1989.0</td>\n",
       "      <td>9599870.25</td>\n",
       "      <td>6149584.93</td>\n",
       "      <td>4875344.33</td>\n",
       "      <td>1485489.95</td>\n",
       "      <td>699318.77</td>\n",
       "      <td>141110.87</td>\n",
       "      <td>139512.84</td>\n",
       "      <td>457434.24</td>\n",
       "      <td>4232804.18</td>\n",
       "      <td>...</td>\n",
       "      <td>108109.71</td>\n",
       "      <td>144755.27</td>\n",
       "      <td>135108.08</td>\n",
       "      <td>70651.78</td>\n",
       "      <td>695011.98</td>\n",
       "      <td>666392.22</td>\n",
       "      <td>1114422.15</td>\n",
       "      <td>226530.52</td>\n",
       "      <td>754467.23</td>\n",
       "      <td>216846.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1990.0</td>\n",
       "      <td>12774442.54</td>\n",
       "      <td>8156087.72</td>\n",
       "      <td>6485271.53</td>\n",
       "      <td>1710540.22</td>\n",
       "      <td>792825.29</td>\n",
       "      <td>142585.03</td>\n",
       "      <td>222945.96</td>\n",
       "      <td>503433.49</td>\n",
       "      <td>5943898.02</td>\n",
       "      <td>...</td>\n",
       "      <td>107419.85</td>\n",
       "      <td>131409.38</td>\n",
       "      <td>185198.45</td>\n",
       "      <td>74385.85</td>\n",
       "      <td>705689.85</td>\n",
       "      <td>1577871.02</td>\n",
       "      <td>1030335.43</td>\n",
       "      <td>313786.88</td>\n",
       "      <td>809899.17</td>\n",
       "      <td>424714.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1991.0</td>\n",
       "      <td>14041339.31</td>\n",
       "      <td>9009344.75</td>\n",
       "      <td>7270694.47</td>\n",
       "      <td>1541736.90</td>\n",
       "      <td>743550.94</td>\n",
       "      <td>85699.61</td>\n",
       "      <td>193392.84</td>\n",
       "      <td>475223.53</td>\n",
       "      <td>6869910.07</td>\n",
       "      <td>...</td>\n",
       "      <td>72413.54</td>\n",
       "      <td>138718.20</td>\n",
       "      <td>101905.12</td>\n",
       "      <td>42823.18</td>\n",
       "      <td>705382.48</td>\n",
       "      <td>1329285.23</td>\n",
       "      <td>880585.51</td>\n",
       "      <td>240414.67</td>\n",
       "      <td>987462.67</td>\n",
       "      <td>241783.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1992.0</td>\n",
       "      <td>14229693.86</td>\n",
       "      <td>8781104.95</td>\n",
       "      <td>7138261.93</td>\n",
       "      <td>1308265.00</td>\n",
       "      <td>594720.50</td>\n",
       "      <td>55391.79</td>\n",
       "      <td>185387.72</td>\n",
       "      <td>431223.97</td>\n",
       "      <td>6764771.66</td>\n",
       "      <td>...</td>\n",
       "      <td>63488.49</td>\n",
       "      <td>135344.18</td>\n",
       "      <td>130681.64</td>\n",
       "      <td>38155.25</td>\n",
       "      <td>700062.57</td>\n",
       "      <td>1989234.93</td>\n",
       "      <td>553589.66</td>\n",
       "      <td>181656.70</td>\n",
       "      <td>1085916.40</td>\n",
       "      <td>238296.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1993.0</td>\n",
       "      <td>15273975.87</td>\n",
       "      <td>8413083.69</td>\n",
       "      <td>6652083.67</td>\n",
       "      <td>1487483.03</td>\n",
       "      <td>590224.18</td>\n",
       "      <td>72917.92</td>\n",
       "      <td>254246.51</td>\n",
       "      <td>511714.01</td>\n",
       "      <td>5940990.64</td>\n",
       "      <td>...</td>\n",
       "      <td>95136.97</td>\n",
       "      <td>193093.52</td>\n",
       "      <td>183209.07</td>\n",
       "      <td>51914.21</td>\n",
       "      <td>701031.41</td>\n",
       "      <td>2453555.63</td>\n",
       "      <td>623603.70</td>\n",
       "      <td>208233.76</td>\n",
       "      <td>1731457.97</td>\n",
       "      <td>295952.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1994.0</td>\n",
       "      <td>17774332.13</td>\n",
       "      <td>8892060.06</td>\n",
       "      <td>6972598.68</td>\n",
       "      <td>1855567.28</td>\n",
       "      <td>767076.76</td>\n",
       "      <td>123441.33</td>\n",
       "      <td>269292.63</td>\n",
       "      <td>604334.91</td>\n",
       "      <td>6179519.79</td>\n",
       "      <td>...</td>\n",
       "      <td>102692.65</td>\n",
       "      <td>215935.69</td>\n",
       "      <td>217251.74</td>\n",
       "      <td>77905.39</td>\n",
       "      <td>852741.87</td>\n",
       "      <td>3634184.47</td>\n",
       "      <td>659746.83</td>\n",
       "      <td>235571.08</td>\n",
       "      <td>1885210.43</td>\n",
       "      <td>615570.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1995.0</td>\n",
       "      <td>22333872.33</td>\n",
       "      <td>10957599.41</td>\n",
       "      <td>8627808.69</td>\n",
       "      <td>2395221.52</td>\n",
       "      <td>976950.96</td>\n",
       "      <td>266061.00</td>\n",
       "      <td>192451.49</td>\n",
       "      <td>813666.83</td>\n",
       "      <td>7625756.15</td>\n",
       "      <td>...</td>\n",
       "      <td>198807.35</td>\n",
       "      <td>248137.13</td>\n",
       "      <td>296196.29</td>\n",
       "      <td>106733.30</td>\n",
       "      <td>1135210.46</td>\n",
       "      <td>4548428.71</td>\n",
       "      <td>922588.40</td>\n",
       "      <td>300323.14</td>\n",
       "      <td>2559800.62</td>\n",
       "      <td>476711.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1996.0</td>\n",
       "      <td>24123512.59</td>\n",
       "      <td>11488484.34</td>\n",
       "      <td>8923575.88</td>\n",
       "      <td>2374424.26</td>\n",
       "      <td>966577.64</td>\n",
       "      <td>300724.80</td>\n",
       "      <td>216764.79</td>\n",
       "      <td>773923.65</td>\n",
       "      <td>8007548.09</td>\n",
       "      <td>...</td>\n",
       "      <td>166450.17</td>\n",
       "      <td>260637.19</td>\n",
       "      <td>363097.43</td>\n",
       "      <td>106625.88</td>\n",
       "      <td>1256728.32</td>\n",
       "      <td>5283461.64</td>\n",
       "      <td>968472.73</td>\n",
       "      <td>296837.18</td>\n",
       "      <td>2776751.49</td>\n",
       "      <td>518393.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1997.0</td>\n",
       "      <td>26787794.51</td>\n",
       "      <td>12505843.91</td>\n",
       "      <td>10056450.43</td>\n",
       "      <td>2370438.58</td>\n",
       "      <td>951033.76</td>\n",
       "      <td>346724.22</td>\n",
       "      <td>183161.86</td>\n",
       "      <td>829439.10</td>\n",
       "      <td>9020399.21</td>\n",
       "      <td>...</td>\n",
       "      <td>184035.08</td>\n",
       "      <td>220171.39</td>\n",
       "      <td>354617.95</td>\n",
       "      <td>110066.60</td>\n",
       "      <td>1434685.13</td>\n",
       "      <td>5225835.63</td>\n",
       "      <td>1017077.32</td>\n",
       "      <td>319443.12</td>\n",
       "      <td>3766052.63</td>\n",
       "      <td>885592.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1998.0</td>\n",
       "      <td>30077471.10</td>\n",
       "      <td>13864217.47</td>\n",
       "      <td>11244657.73</td>\n",
       "      <td>2009301.04</td>\n",
       "      <td>695680.38</td>\n",
       "      <td>389301.18</td>\n",
       "      <td>116753.02</td>\n",
       "      <td>715196.91</td>\n",
       "      <td>10814965.84</td>\n",
       "      <td>...</td>\n",
       "      <td>207088.23</td>\n",
       "      <td>156033.98</td>\n",
       "      <td>383629.58</td>\n",
       "      <td>153670.73</td>\n",
       "      <td>1779115.46</td>\n",
       "      <td>5532211.63</td>\n",
       "      <td>1033621.03</td>\n",
       "      <td>316750.25</td>\n",
       "      <td>4303088.85</td>\n",
       "      <td>1481980.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1999.0</td>\n",
       "      <td>30919091.32</td>\n",
       "      <td>15400495.98</td>\n",
       "      <td>13440613.39</td>\n",
       "      <td>2230021.20</td>\n",
       "      <td>765678.85</td>\n",
       "      <td>558830.10</td>\n",
       "      <td>162438.95</td>\n",
       "      <td>712791.28</td>\n",
       "      <td>12290010.05</td>\n",
       "      <td>...</td>\n",
       "      <td>217049.99</td>\n",
       "      <td>113505.41</td>\n",
       "      <td>341091.92</td>\n",
       "      <td>158643.05</td>\n",
       "      <td>1877270.66</td>\n",
       "      <td>5843068.93</td>\n",
       "      <td>1063873.63</td>\n",
       "      <td>332685.01</td>\n",
       "      <td>2987970.33</td>\n",
       "      <td>1709831.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>2000.0</td>\n",
       "      <td>30214223.00</td>\n",
       "      <td>14014058.80</td>\n",
       "      <td>12236346.45</td>\n",
       "      <td>2146551.07</td>\n",
       "      <td>774400.28</td>\n",
       "      <td>435015.26</td>\n",
       "      <td>176360.37</td>\n",
       "      <td>730526.02</td>\n",
       "      <td>10931214.85</td>\n",
       "      <td>...</td>\n",
       "      <td>258534.45</td>\n",
       "      <td>91487.14</td>\n",
       "      <td>366754.13</td>\n",
       "      <td>174232.99</td>\n",
       "      <td>2084903.28</td>\n",
       "      <td>5700310.34</td>\n",
       "      <td>1213976.31</td>\n",
       "      <td>477020.63</td>\n",
       "      <td>3589913.90</td>\n",
       "      <td>1457490.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>2001.0</td>\n",
       "      <td>32538888.27</td>\n",
       "      <td>14901041.60</td>\n",
       "      <td>12634312.15</td>\n",
       "      <td>1617852.10</td>\n",
       "      <td>350376.02</td>\n",
       "      <td>369546.24</td>\n",
       "      <td>190072.37</td>\n",
       "      <td>671666.85</td>\n",
       "      <td>12162860.89</td>\n",
       "      <td>...</td>\n",
       "      <td>228148.57</td>\n",
       "      <td>95195.24</td>\n",
       "      <td>372161.53</td>\n",
       "      <td>163576.24</td>\n",
       "      <td>2264290.31</td>\n",
       "      <td>6495446.98</td>\n",
       "      <td>1382315.29</td>\n",
       "      <td>465088.70</td>\n",
       "      <td>3586861.06</td>\n",
       "      <td>1668057.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>2002.0</td>\n",
       "      <td>33037756.42</td>\n",
       "      <td>15546037.13</td>\n",
       "      <td>13056143.30</td>\n",
       "      <td>2320919.08</td>\n",
       "      <td>742039.85</td>\n",
       "      <td>580134.35</td>\n",
       "      <td>188958.11</td>\n",
       "      <td>694196.35</td>\n",
       "      <td>12099210.50</td>\n",
       "      <td>...</td>\n",
       "      <td>208582.92</td>\n",
       "      <td>88789.04</td>\n",
       "      <td>372528.76</td>\n",
       "      <td>196914.62</td>\n",
       "      <td>2385865.34</td>\n",
       "      <td>6456576.51</td>\n",
       "      <td>1483663.48</td>\n",
       "      <td>523453.21</td>\n",
       "      <td>2920381.39</td>\n",
       "      <td>2043161.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>2003.0</td>\n",
       "      <td>29561302.25</td>\n",
       "      <td>16662591.17</td>\n",
       "      <td>13828536.04</td>\n",
       "      <td>2402651.49</td>\n",
       "      <td>847586.63</td>\n",
       "      <td>511902.81</td>\n",
       "      <td>157238.77</td>\n",
       "      <td>762892.48</td>\n",
       "      <td>13270055.58</td>\n",
       "      <td>...</td>\n",
       "      <td>207793.79</td>\n",
       "      <td>106240.96</td>\n",
       "      <td>414498.32</td>\n",
       "      <td>177336.49</td>\n",
       "      <td>2754669.92</td>\n",
       "      <td>6264838.43</td>\n",
       "      <td>1417734.80</td>\n",
       "      <td>494634.54</td>\n",
       "      <td>2630158.66</td>\n",
       "      <td>2439847.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>2004.0</td>\n",
       "      <td>34595421.10</td>\n",
       "      <td>16518689.04</td>\n",
       "      <td>14460061.72</td>\n",
       "      <td>3099558.61</td>\n",
       "      <td>1235853.95</td>\n",
       "      <td>655870.22</td>\n",
       "      <td>179350.67</td>\n",
       "      <td>822760.82</td>\n",
       "      <td>12635341.75</td>\n",
       "      <td>...</td>\n",
       "      <td>247903.34</td>\n",
       "      <td>141396.13</td>\n",
       "      <td>488930.41</td>\n",
       "      <td>191326.21</td>\n",
       "      <td>3097231.09</td>\n",
       "      <td>5838556.13</td>\n",
       "      <td>1185888.69</td>\n",
       "      <td>429265.06</td>\n",
       "      <td>3344870.50</td>\n",
       "      <td>1963311.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>2005.0</td>\n",
       "      <td>39284015.85</td>\n",
       "      <td>20113944.81</td>\n",
       "      <td>17803483.07</td>\n",
       "      <td>3530056.61</td>\n",
       "      <td>1611455.56</td>\n",
       "      <td>671771.94</td>\n",
       "      <td>180534.66</td>\n",
       "      <td>864215.59</td>\n",
       "      <td>15948081.39</td>\n",
       "      <td>...</td>\n",
       "      <td>247530.81</td>\n",
       "      <td>174154.46</td>\n",
       "      <td>490042.00</td>\n",
       "      <td>248640.99</td>\n",
       "      <td>3300170.91</td>\n",
       "      <td>4855897.94</td>\n",
       "      <td>1339665.68</td>\n",
       "      <td>449120.21</td>\n",
       "      <td>4564256.33</td>\n",
       "      <td>2145499.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>2006.0</td>\n",
       "      <td>42161153.07</td>\n",
       "      <td>20829332.90</td>\n",
       "      <td>18302112.83</td>\n",
       "      <td>3233804.43</td>\n",
       "      <td>1228139.61</td>\n",
       "      <td>850789.37</td>\n",
       "      <td>193181.93</td>\n",
       "      <td>905839.67</td>\n",
       "      <td>16420691.01</td>\n",
       "      <td>...</td>\n",
       "      <td>259231.37</td>\n",
       "      <td>183651.88</td>\n",
       "      <td>538473.03</td>\n",
       "      <td>256176.14</td>\n",
       "      <td>3387033.62</td>\n",
       "      <td>4423472.54</td>\n",
       "      <td>1073725.63</td>\n",
       "      <td>393122.58</td>\n",
       "      <td>6250407.35</td>\n",
       "      <td>2787699.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2007.0</td>\n",
       "      <td>45201832.96</td>\n",
       "      <td>23396056.38</td>\n",
       "      <td>20775138.98</td>\n",
       "      <td>3018410.63</td>\n",
       "      <td>1354056.18</td>\n",
       "      <td>515616.63</td>\n",
       "      <td>203592.33</td>\n",
       "      <td>871906.88</td>\n",
       "      <td>19166893.03</td>\n",
       "      <td>...</td>\n",
       "      <td>272029.32</td>\n",
       "      <td>180780.61</td>\n",
       "      <td>524219.91</td>\n",
       "      <td>246705.45</td>\n",
       "      <td>3270272.04</td>\n",
       "      <td>3270337.44</td>\n",
       "      <td>1073339.05</td>\n",
       "      <td>426248.34</td>\n",
       "      <td>7936006.89</td>\n",
       "      <td>2819747.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2008.0</td>\n",
       "      <td>46322220.16</td>\n",
       "      <td>22376179.59</td>\n",
       "      <td>19878020.87</td>\n",
       "      <td>2646461.30</td>\n",
       "      <td>1097426.64</td>\n",
       "      <td>536407.82</td>\n",
       "      <td>180157.65</td>\n",
       "      <td>832469.19</td>\n",
       "      <td>18457712.65</td>\n",
       "      <td>...</td>\n",
       "      <td>281857.22</td>\n",
       "      <td>129632.99</td>\n",
       "      <td>498687.61</td>\n",
       "      <td>235655.17</td>\n",
       "      <td>3347147.30</td>\n",
       "      <td>2895183.57</td>\n",
       "      <td>1082224.78</td>\n",
       "      <td>589916.95</td>\n",
       "      <td>10021947.40</td>\n",
       "      <td>2926322.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>2009.0</td>\n",
       "      <td>41101783.73</td>\n",
       "      <td>18858047.84</td>\n",
       "      <td>16412718.57</td>\n",
       "      <td>3410680.06</td>\n",
       "      <td>1517331.96</td>\n",
       "      <td>691800.75</td>\n",
       "      <td>174168.53</td>\n",
       "      <td>767658.12</td>\n",
       "      <td>14355417.37</td>\n",
       "      <td>...</td>\n",
       "      <td>239949.42</td>\n",
       "      <td>98995.29</td>\n",
       "      <td>482901.64</td>\n",
       "      <td>219977.11</td>\n",
       "      <td>3406815.33</td>\n",
       "      <td>3390295.06</td>\n",
       "      <td>851279.53</td>\n",
       "      <td>654833.29</td>\n",
       "      <td>8145765.58</td>\n",
       "      <td>3019088.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>2010.0</td>\n",
       "      <td>48130256.16</td>\n",
       "      <td>22377368.09</td>\n",
       "      <td>19861771.74</td>\n",
       "      <td>2929260.12</td>\n",
       "      <td>922317.14</td>\n",
       "      <td>612961.23</td>\n",
       "      <td>206114.20</td>\n",
       "      <td>965710.66</td>\n",
       "      <td>18313658.81</td>\n",
       "      <td>...</td>\n",
       "      <td>250272.33</td>\n",
       "      <td>95908.44</td>\n",
       "      <td>498428.10</td>\n",
       "      <td>211842.28</td>\n",
       "      <td>3777298.51</td>\n",
       "      <td>2432110.82</td>\n",
       "      <td>928241.94</td>\n",
       "      <td>651180.47</td>\n",
       "      <td>10818330.42</td>\n",
       "      <td>4366636.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>2011.0</td>\n",
       "      <td>43875258.46</td>\n",
       "      <td>17781918.28</td>\n",
       "      <td>15156453.72</td>\n",
       "      <td>2758886.78</td>\n",
       "      <td>879411.70</td>\n",
       "      <td>783920.76</td>\n",
       "      <td>175959.61</td>\n",
       "      <td>723752.96</td>\n",
       "      <td>13857969.97</td>\n",
       "      <td>...</td>\n",
       "      <td>206991.62</td>\n",
       "      <td>87498.14</td>\n",
       "      <td>376798.25</td>\n",
       "      <td>181930.97</td>\n",
       "      <td>3493774.46</td>\n",
       "      <td>1616420.37</td>\n",
       "      <td>955358.47</td>\n",
       "      <td>613326.92</td>\n",
       "      <td>13189465.06</td>\n",
       "      <td>3583496.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>2012.0</td>\n",
       "      <td>47119688.93</td>\n",
       "      <td>21031750.16</td>\n",
       "      <td>18471430.73</td>\n",
       "      <td>2734262.16</td>\n",
       "      <td>876345.75</td>\n",
       "      <td>823420.85</td>\n",
       "      <td>131497.57</td>\n",
       "      <td>693077.27</td>\n",
       "      <td>17074805.64</td>\n",
       "      <td>...</td>\n",
       "      <td>177954.12</td>\n",
       "      <td>102435.39</td>\n",
       "      <td>391546.91</td>\n",
       "      <td>168444.99</td>\n",
       "      <td>3577493.57</td>\n",
       "      <td>1689844.79</td>\n",
       "      <td>903546.27</td>\n",
       "      <td>608702.98</td>\n",
       "      <td>12512444.81</td>\n",
       "      <td>3847850.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>2013.0</td>\n",
       "      <td>43736832.86</td>\n",
       "      <td>20082205.71</td>\n",
       "      <td>15287802.92</td>\n",
       "      <td>2793443.43</td>\n",
       "      <td>930304.46</td>\n",
       "      <td>799299.49</td>\n",
       "      <td>131959.49</td>\n",
       "      <td>749561.51</td>\n",
       "      <td>15899945.72</td>\n",
       "      <td>...</td>\n",
       "      <td>157150.74</td>\n",
       "      <td>128.90</td>\n",
       "      <td>362251.13</td>\n",
       "      <td>168033.46</td>\n",
       "      <td>3528513.58</td>\n",
       "      <td>1294232.41</td>\n",
       "      <td>784459.71</td>\n",
       "      <td>402859.05</td>\n",
       "      <td>12531711.19</td>\n",
       "      <td>2843222.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>2014.0</td>\n",
       "      <td>40638155.95</td>\n",
       "      <td>19635028.13</td>\n",
       "      <td>14920884.59</td>\n",
       "      <td>2579623.17</td>\n",
       "      <td>887417.06</td>\n",
       "      <td>673022.16</td>\n",
       "      <td>136780.33</td>\n",
       "      <td>737703.27</td>\n",
       "      <td>15557345.39</td>\n",
       "      <td>...</td>\n",
       "      <td>149114.69</td>\n",
       "      <td>68197.38</td>\n",
       "      <td>323079.79</td>\n",
       "      <td>162490.77</td>\n",
       "      <td>3521740.12</td>\n",
       "      <td>1235971.54</td>\n",
       "      <td>736010.70</td>\n",
       "      <td>346168.03</td>\n",
       "      <td>10336114.57</td>\n",
       "      <td>2706612.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>2015.0</td>\n",
       "      <td>39194309.04</td>\n",
       "      <td>21481733.28</td>\n",
       "      <td>15915510.14</td>\n",
       "      <td>2371046.00</td>\n",
       "      <td>742823.35</td>\n",
       "      <td>669724.77</td>\n",
       "      <td>139761.77</td>\n",
       "      <td>665432.54</td>\n",
       "      <td>17560068.98</td>\n",
       "      <td>...</td>\n",
       "      <td>113701.15</td>\n",
       "      <td>60728.04</td>\n",
       "      <td>277682.90</td>\n",
       "      <td>113737.11</td>\n",
       "      <td>3283049.14</td>\n",
       "      <td>1026311.57</td>\n",
       "      <td>357303.32</td>\n",
       "      <td>314732.72</td>\n",
       "      <td>7321999.53</td>\n",
       "      <td>3422422.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>2016.0</td>\n",
       "      <td>39735307.41</td>\n",
       "      <td>23456196.94</td>\n",
       "      <td>18437055.08</td>\n",
       "      <td>2364027.42</td>\n",
       "      <td>784956.94</td>\n",
       "      <td>634074.62</td>\n",
       "      <td>154667.51</td>\n",
       "      <td>666799.65</td>\n",
       "      <td>19298425.06</td>\n",
       "      <td>...</td>\n",
       "      <td>101124.99</td>\n",
       "      <td>60078.95</td>\n",
       "      <td>262326.62</td>\n",
       "      <td>142644.89</td>\n",
       "      <td>3313877.04</td>\n",
       "      <td>1141131.27</td>\n",
       "      <td>356133.61</td>\n",
       "      <td>364431.00</td>\n",
       "      <td>6378692.93</td>\n",
       "      <td>2685869.17</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>51 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       ano  EXPO_TOT_2004  EXPO_AGROP_2004  EXPO_PAMP_2004  EXPO_PECUAR_2004  \\\n",
       "0   1966.0     6333634.22       5675922.71      5563724.31        2220807.38   \n",
       "1   1967.0     5835217.42       5254582.56      5111380.39        2410845.43   \n",
       "2   1968.0     4558947.98       3685459.82      3371157.68        2277316.06   \n",
       "3   1969.0     5175646.33       4350920.16      4054621.02        2755310.97   \n",
       "4   1970.0     4184635.10       3341704.72      2996037.07        1441522.79   \n",
       "5   1971.0     4322811.98       3394203.42      3082926.56        1621378.16   \n",
       "6   1972.0     4298510.74       3289516.91      2954887.33        2033833.42   \n",
       "7   1973.0     5016985.22       3408794.66      3033972.05        1585888.12   \n",
       "8   1974.0     4823621.97       2999981.00      2444161.04         935528.07   \n",
       "9   1975.0     3936228.16       2550241.00      2049386.26         892572.22   \n",
       "10  1976.0     5751513.91       3986213.10      3279040.46        1745664.71   \n",
       "11  1977.0     7911668.35       5598341.72      4574438.34        1930828.66   \n",
       "12  1978.0     8825240.84       6278163.92      5005553.30        2502354.75   \n",
       "13  1979.0     8284130.20       6182234.65      5127980.89        2147306.26   \n",
       "14  1980.0     7301979.81       5004315.33      4099114.51        1632365.10   \n",
       "15  1981.0     8309646.82       5772686.73      4934499.26        1801089.17   \n",
       "16  1982.0     8349587.37       5594525.69      4609505.85        1732377.23   \n",
       "17  1983.0     8945548.68       6732292.60      5636243.89        1479480.57   \n",
       "18  1984.0     8645818.76       6466933.73      5405149.24        1184945.48   \n",
       "19  1985.0    10692657.94       7270273.81      6162347.99        1292004.75   \n",
       "20  1986.0     9234882.99       6583697.40      5634505.48        1389821.70   \n",
       "21  1987.0     8469049.96       5871082.71      4859278.61        1323033.26   \n",
       "22  1988.0    10507660.29       7029777.93      5690800.84        1409692.52   \n",
       "23  1989.0     9599870.25       6149584.93      4875344.33        1485489.95   \n",
       "24  1990.0    12774442.54       8156087.72      6485271.53        1710540.22   \n",
       "25  1991.0    14041339.31       9009344.75      7270694.47        1541736.90   \n",
       "26  1992.0    14229693.86       8781104.95      7138261.93        1308265.00   \n",
       "27  1993.0    15273975.87       8413083.69      6652083.67        1487483.03   \n",
       "28  1994.0    17774332.13       8892060.06      6972598.68        1855567.28   \n",
       "29  1995.0    22333872.33      10957599.41      8627808.69        2395221.52   \n",
       "30  1996.0    24123512.59      11488484.34      8923575.88        2374424.26   \n",
       "31  1997.0    26787794.51      12505843.91     10056450.43        2370438.58   \n",
       "32  1998.0    30077471.10      13864217.47     11244657.73        2009301.04   \n",
       "33  1999.0    30919091.32      15400495.98     13440613.39        2230021.20   \n",
       "34  2000.0    30214223.00      14014058.80     12236346.45        2146551.07   \n",
       "35  2001.0    32538888.27      14901041.60     12634312.15        1617852.10   \n",
       "36  2002.0    33037756.42      15546037.13     13056143.30        2320919.08   \n",
       "37  2003.0    29561302.25      16662591.17     13828536.04        2402651.49   \n",
       "38  2004.0    34595421.10      16518689.04     14460061.72        3099558.61   \n",
       "39  2005.0    39284015.85      20113944.81     17803483.07        3530056.61   \n",
       "40  2006.0    42161153.07      20829332.90     18302112.83        3233804.43   \n",
       "41  2007.0    45201832.96      23396056.38     20775138.98        3018410.63   \n",
       "42  2008.0    46322220.16      22376179.59     19878020.87        2646461.30   \n",
       "43  2009.0    41101783.73      18858047.84     16412718.57        3410680.06   \n",
       "44  2010.0    48130256.16      22377368.09     19861771.74        2929260.12   \n",
       "45  2011.0    43875258.46      17781918.28     15156453.72        2758886.78   \n",
       "46  2012.0    47119688.93      21031750.16     18471430.73        2734262.16   \n",
       "47  2013.0    43736832.86      20082205.71     15287802.92        2793443.43   \n",
       "48  2014.0    40638155.95      19635028.13     14920884.59        2579623.17   \n",
       "49  2015.0    39194309.04      21481733.28     15915510.14        2371046.00   \n",
       "50  2016.0    39735307.41      23456196.94     18437055.08        2364027.42   \n",
       "\n",
       "    EXPO_CARNES_2004  EXPO_LECHE_2004  EXPO_LANAS_2004  EXPO_CUEROS_PP_2004  \\\n",
       "0         1145566.34         62187.36        239060.01            575541.23   \n",
       "1         1198095.93         69107.85        201213.99            660760.91   \n",
       "2         1028137.99         47745.33        241060.03            725768.04   \n",
       "3         1442774.46         58833.60        182534.32            789340.73   \n",
       "4         1242994.34         30082.71        168445.74            803060.27   \n",
       "5          828351.87         54747.81        162433.19            484022.56   \n",
       "6         1221781.30         99317.83        166737.63            467528.82   \n",
       "7          989475.01         87898.55        158413.80            292125.37   \n",
       "8          516346.61         53263.43         92075.27            231389.48   \n",
       "9          467205.41         80058.35        154969.91            170249.32   \n",
       "10         969475.61        195320.40        186459.30            325523.22   \n",
       "11        1106191.15        121418.10        260794.47            343730.00   \n",
       "12        1430147.87         92345.88        349572.74            440422.34   \n",
       "13        1271438.42         38767.51        247506.30            474030.67   \n",
       "14         854742.85         35878.11        262897.22            437386.53   \n",
       "15         887786.08         54309.30        319838.53            492311.03   \n",
       "16         993916.15        101542.22        255329.63            353937.49   \n",
       "17         765310.44         99153.39        262493.09            326517.99   \n",
       "18         479166.34         39081.06        281116.46            344766.33   \n",
       "19         509444.66         43853.64        284244.27            413026.52   \n",
       "20         536488.12         43269.17        289746.67            476432.22   \n",
       "21         542157.64         39866.99        251565.81            450666.79   \n",
       "22         638378.28         86803.40        207570.16            432204.81   \n",
       "23         699318.77        141110.87        139512.84            457434.24   \n",
       "24         792825.29        142585.03        222945.96            503433.49   \n",
       "25         743550.94         85699.61        193392.84            475223.53   \n",
       "26         594720.50         55391.79        185387.72            431223.97   \n",
       "27         590224.18         72917.92        254246.51            511714.01   \n",
       "28         767076.76        123441.33        269292.63            604334.91   \n",
       "29         976950.96        266061.00        192451.49            813666.83   \n",
       "30         966577.64        300724.80        216764.79            773923.65   \n",
       "31         951033.76        346724.22        183161.86            829439.10   \n",
       "32         695680.38        389301.18        116753.02            715196.91   \n",
       "33         765678.85        558830.10        162438.95            712791.28   \n",
       "34         774400.28        435015.26        176360.37            730526.02   \n",
       "35         350376.02        369546.24        190072.37            671666.85   \n",
       "36         742039.85        580134.35        188958.11            694196.35   \n",
       "37         847586.63        511902.81        157238.77            762892.48   \n",
       "38        1235853.95        655870.22        179350.67            822760.82   \n",
       "39        1611455.56        671771.94        180534.66            864215.59   \n",
       "40        1228139.61        850789.37        193181.93            905839.67   \n",
       "41        1354056.18        515616.63        203592.33            871906.88   \n",
       "42        1097426.64        536407.82        180157.65            832469.19   \n",
       "43        1517331.96        691800.75        174168.53            767658.12   \n",
       "44         922317.14        612961.23        206114.20            965710.66   \n",
       "45         879411.70        783920.76        175959.61            723752.96   \n",
       "46         876345.75        823420.85        131497.57            693077.27   \n",
       "47         930304.46        799299.49        131959.49            749561.51   \n",
       "48         887417.06        673022.16        136780.33            737703.27   \n",
       "49         742823.35        669724.77        139761.77            665432.54   \n",
       "50         784956.94        634074.62        154667.51            666799.65   \n",
       "\n",
       "    EXPO_AGRIC_2004  ...  EXPO_TEXTIL_2004  EXPO_CUEROIND_2004  \\\n",
       "0        3450986.58  ...           1654.99             6829.96   \n",
       "1        2839752.13  ...           3279.87             6921.54   \n",
       "2        1403969.22  ...           6520.45            12276.03   \n",
       "3        1592394.96  ...           7009.26            17796.64   \n",
       "4        1888866.22  ...          16289.54            42923.12   \n",
       "5        1758401.13  ...           7317.05            17137.52   \n",
       "6        1232810.26  ...           9438.89            25828.74   \n",
       "7        1767175.10  ...          15627.53            91642.16   \n",
       "8        1984893.91  ...           7564.56           113106.14   \n",
       "9        1583809.90  ...           2545.22            42859.16   \n",
       "10       2106134.34  ...          12002.50           103426.97   \n",
       "11       3450263.72  ...          32672.21           213135.79   \n",
       "12       3458896.04  ...          54389.43           249548.93   \n",
       "13       3671196.82  ...          34440.77           168719.85   \n",
       "14       3127348.13  ...          36190.07           137001.23   \n",
       "15       3727345.86  ...          12854.93           124478.60   \n",
       "16       3445727.15  ...          14152.93           114144.68   \n",
       "17       4846172.70  ...          11176.64            62598.70   \n",
       "18       4889868.25  ...          11522.91            39610.76   \n",
       "19       5682726.03  ...          16743.95            44235.56   \n",
       "20       4831407.03  ...          27273.18            68742.71   \n",
       "21       4165323.18  ...          40728.94           122849.61   \n",
       "22       5208694.91  ...          74696.73           126512.32   \n",
       "23       4232804.18  ...         108109.71           144755.27   \n",
       "24       5943898.02  ...         107419.85           131409.38   \n",
       "25       6869910.07  ...          72413.54           138718.20   \n",
       "26       6764771.66  ...          63488.49           135344.18   \n",
       "27       5940990.64  ...          95136.97           193093.52   \n",
       "28       6179519.79  ...         102692.65           215935.69   \n",
       "29       7625756.15  ...         198807.35           248137.13   \n",
       "30       8007548.09  ...         166450.17           260637.19   \n",
       "31       9020399.21  ...         184035.08           220171.39   \n",
       "32      10814965.84  ...         207088.23           156033.98   \n",
       "33      12290010.05  ...         217049.99           113505.41   \n",
       "34      10931214.85  ...         258534.45            91487.14   \n",
       "35      12162860.89  ...         228148.57            95195.24   \n",
       "36      12099210.50  ...         208582.92            88789.04   \n",
       "37      13270055.58  ...         207793.79           106240.96   \n",
       "38      12635341.75  ...         247903.34           141396.13   \n",
       "39      15948081.39  ...         247530.81           174154.46   \n",
       "40      16420691.01  ...         259231.37           183651.88   \n",
       "41      19166893.03  ...         272029.32           180780.61   \n",
       "42      18457712.65  ...         281857.22           129632.99   \n",
       "43      14355417.37  ...         239949.42            98995.29   \n",
       "44      18313658.81  ...         250272.33            95908.44   \n",
       "45      13857969.97  ...         206991.62            87498.14   \n",
       "46      17074805.64  ...         177954.12           102435.39   \n",
       "47      15899945.72  ...         157150.74              128.90   \n",
       "48      15557345.39  ...         149114.69            68197.38   \n",
       "49      17560068.98  ...         113701.15            60728.04   \n",
       "50      19298425.06  ...         101124.99            60078.95   \n",
       "\n",
       "    EXPO_PAPEL_2004  EXPO_CAUCHO_2004  EXPO_QUIMICO_2004  EXPO_COMBIUST_2004  \\\n",
       "0          67888.28           2077.04           97591.20           311724.52   \n",
       "1          74308.04           4467.94          100669.08           167739.99   \n",
       "2         105886.36          10769.84          121251.59           256832.23   \n",
       "3         135684.74          24872.42          150879.31            88739.43   \n",
       "4         102325.10          21749.05          134120.08            96569.38   \n",
       "5          99350.58          13193.28          128681.86           115212.21   \n",
       "6         114106.97          16712.47          148240.16            72426.68   \n",
       "7         163861.27          26719.03          167672.33            54681.09   \n",
       "8         169299.36          25821.38          156176.49            50730.17   \n",
       "9          79654.27           5126.76          141018.64            63290.79   \n",
       "10         91312.15           4947.44          187409.85           107808.95   \n",
       "11        296804.66          11761.94          233060.20           122696.79   \n",
       "12        142230.95          19438.63          286108.03           191758.84   \n",
       "13        124066.88          10599.03          218476.67           125801.61   \n",
       "14        118063.58           9499.69          273959.50           399581.78   \n",
       "15         84485.26          18328.74          261753.14           799692.91   \n",
       "16         76088.59          21041.44          297614.47           742106.80   \n",
       "17         72112.06          25791.07          355818.06           594216.93   \n",
       "18         89005.30          26671.35          376725.48           453416.99   \n",
       "19         85142.03          42033.71          450275.40          1029202.33   \n",
       "20         79678.45          32603.53          457297.26           392121.57   \n",
       "21        127298.73          44573.35          498927.01           196287.91   \n",
       "22        191819.26          62820.34          684411.12           357591.04   \n",
       "23        135108.08          70651.78          695011.98           666392.22   \n",
       "24        185198.45          74385.85          705689.85          1577871.02   \n",
       "25        101905.12          42823.18          705382.48          1329285.23   \n",
       "26        130681.64          38155.25          700062.57          1989234.93   \n",
       "27        183209.07          51914.21          701031.41          2453555.63   \n",
       "28        217251.74          77905.39          852741.87          3634184.47   \n",
       "29        296196.29         106733.30         1135210.46          4548428.71   \n",
       "30        363097.43         106625.88         1256728.32          5283461.64   \n",
       "31        354617.95         110066.60         1434685.13          5225835.63   \n",
       "32        383629.58         153670.73         1779115.46          5532211.63   \n",
       "33        341091.92         158643.05         1877270.66          5843068.93   \n",
       "34        366754.13         174232.99         2084903.28          5700310.34   \n",
       "35        372161.53         163576.24         2264290.31          6495446.98   \n",
       "36        372528.76         196914.62         2385865.34          6456576.51   \n",
       "37        414498.32         177336.49         2754669.92          6264838.43   \n",
       "38        488930.41         191326.21         3097231.09          5838556.13   \n",
       "39        490042.00         248640.99         3300170.91          4855897.94   \n",
       "40        538473.03         256176.14         3387033.62          4423472.54   \n",
       "41        524219.91         246705.45         3270272.04          3270337.44   \n",
       "42        498687.61         235655.17         3347147.30          2895183.57   \n",
       "43        482901.64         219977.11         3406815.33          3390295.06   \n",
       "44        498428.10         211842.28         3777298.51          2432110.82   \n",
       "45        376798.25         181930.97         3493774.46          1616420.37   \n",
       "46        391546.91         168444.99         3577493.57          1689844.79   \n",
       "47        362251.13         168033.46         3528513.58          1294232.41   \n",
       "48        323079.79         162490.77         3521740.12          1235971.54   \n",
       "49        277682.90         113737.11         3283049.14          1026311.57   \n",
       "50        262326.62         142644.89         3313877.04          1141131.27   \n",
       "\n",
       "    EXPO_HIERRO_2004  EXPO_METNOFERR_2004  EXPO_MAQUIN_2004  \\\n",
       "0           44269.74               806.45          75912.46   \n",
       "1           61943.90              1986.35         102067.27   \n",
       "2          131592.17              5885.19         143196.80   \n",
       "3          111081.11              6804.84         210312.47   \n",
       "4          113306.75              8194.50         236319.25   \n",
       "5          137527.10              4870.73         277896.88   \n",
       "6          143596.40              5783.06         373268.93   \n",
       "7          252798.66             15702.46         669384.50   \n",
       "8          187779.36             16720.89         868564.78   \n",
       "9           53656.60              6219.45         882279.19   \n",
       "10         184035.75              9205.07         849573.46   \n",
       "11         160297.82             17553.32         917039.08   \n",
       "12         373889.73             34035.82         880688.88   \n",
       "13         241450.85             62144.14         820923.23   \n",
       "14         143353.77            126009.15         797655.08   \n",
       "15         212786.84            145561.04         664342.33   \n",
       "16         297684.61            171703.64         800085.27   \n",
       "17         316334.84            110551.38         420022.14   \n",
       "18         302284.85            110999.85         569917.80   \n",
       "19         584403.49            213805.09         745565.05   \n",
       "20         595191.53            174687.46         614627.49   \n",
       "21         587745.30            190039.53         501205.94   \n",
       "22         818560.35            204028.58         552757.54   \n",
       "23        1114422.15            226530.52         754467.23   \n",
       "24        1030335.43            313786.88         809899.17   \n",
       "25         880585.51            240414.67         987462.67   \n",
       "26         553589.66            181656.70        1085916.40   \n",
       "27         623603.70            208233.76        1731457.97   \n",
       "28         659746.83            235571.08        1885210.43   \n",
       "29         922588.40            300323.14        2559800.62   \n",
       "30         968472.73            296837.18        2776751.49   \n",
       "31        1017077.32            319443.12        3766052.63   \n",
       "32        1033621.03            316750.25        4303088.85   \n",
       "33        1063873.63            332685.01        2987970.33   \n",
       "34        1213976.31            477020.63        3589913.90   \n",
       "35        1382315.29            465088.70        3586861.06   \n",
       "36        1483663.48            523453.21        2920381.39   \n",
       "37        1417734.80            494634.54        2630158.66   \n",
       "38        1185888.69            429265.06        3344870.50   \n",
       "39        1339665.68            449120.21        4564256.33   \n",
       "40        1073725.63            393122.58        6250407.35   \n",
       "41        1073339.05            426248.34        7936006.89   \n",
       "42        1082224.78            589916.95       10021947.40   \n",
       "43         851279.53            654833.29        8145765.58   \n",
       "44         928241.94            651180.47       10818330.42   \n",
       "45         955358.47            613326.92       13189465.06   \n",
       "46         903546.27            608702.98       12512444.81   \n",
       "47         784459.71            402859.05       12531711.19   \n",
       "48         736010.70            346168.03       10336114.57   \n",
       "49         357303.32            314732.72        7321999.53   \n",
       "50         356133.61            364431.00        6378692.93   \n",
       "\n",
       "    EXPO_RESTOIND_2004  \n",
       "0             36073.34  \n",
       "1             38712.80  \n",
       "2             53470.28  \n",
       "3             44336.20  \n",
       "4             38535.26  \n",
       "5             79201.49  \n",
       "6             46760.92  \n",
       "7             72400.24  \n",
       "8             90194.35  \n",
       "9             38403.50  \n",
       "10            86569.26  \n",
       "11           139957.22  \n",
       "12           127371.26  \n",
       "13           118243.33  \n",
       "14           107122.62  \n",
       "15           102199.36  \n",
       "16            76874.30  \n",
       "17            53631.50  \n",
       "18            49879.55  \n",
       "19            65219.55  \n",
       "20            81315.69  \n",
       "21           116581.46  \n",
       "22           191468.47  \n",
       "23           216846.46  \n",
       "24           424714.99  \n",
       "25           241783.79  \n",
       "26           238296.35  \n",
       "27           295952.23  \n",
       "28           615570.55  \n",
       "29           476711.44  \n",
       "30           518393.01  \n",
       "31           885592.95  \n",
       "32          1481980.02  \n",
       "33          1709831.82  \n",
       "34          1457490.13  \n",
       "35          1668057.33  \n",
       "36          2043161.79  \n",
       "37          2439847.17  \n",
       "38          1963311.72  \n",
       "39          2145499.15  \n",
       "40          2787699.12  \n",
       "41          2819747.09  \n",
       "42          2926322.12  \n",
       "43          3019088.34  \n",
       "44          4366636.33  \n",
       "45          3583496.85  \n",
       "46          3847850.45  \n",
       "47          2843222.76  \n",
       "48          2706612.65  \n",
       "49          3422422.97  \n",
       "50          2685869.17  \n",
       "\n",
       "[51 rows x 26 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(datos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 ano\n",
      "1 EXPO_TOT_2004\n",
      "2 EXPO_AGROP_2004\n",
      "3 EXPO_PAMP_2004\n",
      "4 EXPO_PECUAR_2004\n",
      "5 EXPO_CARNES_2004\n",
      "6 EXPO_LECHE_2004\n",
      "7 EXPO_LANAS_2004\n",
      "8 EXPO_CUEROS_PP_2004\n",
      "9 EXPO_AGRIC_2004\n",
      "10 EXPO_CEREAL_2004\n",
      "11 EXPO_OLEAGI_2004\n",
      "12 EXPO_OTAGRIC_2004\n",
      "13 EXPO_PESCA_2004\n",
      "14 EXPO_INDUST_2004\n",
      "15 EXPO_ALIMENT_2004\n",
      "16 EXPO_TEXTIL_2004\n",
      "17 EXPO_CUEROIND_2004\n",
      "18 EXPO_PAPEL_2004\n",
      "19 EXPO_CAUCHO_2004\n",
      "20 EXPO_QUIMICO_2004\n",
      "21 EXPO_COMBIUST_2004\n",
      "22 EXPO_HIERRO_2004\n",
      "23 EXPO_METNOFERR_2004\n",
      "24 EXPO_MAQUIN_2004\n",
      "25 EXPO_RESTOIND_2004\n"
     ]
    }
   ],
   "source": [
    "# Nombres de las variables\n",
    "i = 0\n",
    "for col in datos.columns:\n",
    "    print(i, col)\n",
    "    i = i + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.96600000e+03 6.33363422e+06 5.67592271e+06 ... 8.06450000e+02\n",
      "  7.59124600e+04 3.60733400e+04]\n",
      " [1.96700000e+03 5.83521742e+06 5.25458256e+06 ... 1.98635000e+03\n",
      "  1.02067270e+05 3.87128000e+04]\n",
      " [1.96800000e+03 4.55894798e+06 3.68545982e+06 ... 5.88519000e+03\n",
      "  1.43196800e+05 5.34702800e+04]\n",
      " ...\n",
      " [2.01400000e+03 4.06381560e+07 1.96350281e+07 ... 3.46168030e+05\n",
      "  1.03361146e+07 2.70661265e+06]\n",
      " [2.01500000e+03 3.91943090e+07 2.14817333e+07 ... 3.14732720e+05\n",
      "  7.32199953e+06 3.42242297e+06]\n",
      " [2.01600000e+03 3.97353074e+07 2.34561969e+07 ... 3.64431000e+05\n",
      "  6.37869293e+06 2.68586917e+06]]\n"
     ]
    }
   ],
   "source": [
    "# Convertimos los datos a np.array\n",
    "datosNP = datos.to_numpy()\n",
    "print(datosNP)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(51, 26)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Definimos la matriz A de variables explicativas (no utilizamos el año)\n",
    "datosNP.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(51, 25)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = datosNP[:, 1:]\n",
    "A.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[6.33363422e+06 5.67592271e+06 5.56372431e+06 ... 8.06450000e+02\n",
      "  7.59124600e+04 3.60733400e+04]\n",
      " [5.83521742e+06 5.25458256e+06 5.11138039e+06 ... 1.98635000e+03\n",
      "  1.02067270e+05 3.87128000e+04]\n",
      " [4.55894798e+06 3.68545982e+06 3.37115768e+06 ... 5.88519000e+03\n",
      "  1.43196800e+05 5.34702800e+04]\n",
      " ...\n",
      " [4.06381560e+07 1.96350281e+07 1.49208846e+07 ... 3.46168030e+05\n",
      "  1.03361146e+07 2.70661265e+06]\n",
      " [3.91943090e+07 2.14817333e+07 1.59155101e+07 ... 3.14732720e+05\n",
      "  7.32199953e+06 3.42242297e+06]\n",
      " [3.97353074e+07 2.34561969e+07 1.84370551e+07 ... 3.64431000e+05\n",
      "  6.37869293e+06 2.68586917e+06]]\n"
     ]
    }
   ],
   "source": [
    "print(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Para detectar variables redundantes, calculamos la descomposición SVD\n",
    "[U, S, Vh] = np.linalg.svd(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2276232ba08>]"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos los valores singulares\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(S, '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x227623c7908>]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos el logaritmo para distinguir mejor los saltos\n",
    "plt.plot(np.log(S), '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2.56372898e+08 2.27039397e+07 1.56308913e+07 1.06028987e+07\n",
      " 6.33804171e+06 4.10678298e+06 2.56267118e+06 2.19401325e+06\n",
      " 1.56190746e+06 1.25880699e+06 9.25383150e+05 8.03546414e+05\n",
      " 6.40757399e+05 5.56521208e+05 4.57351273e+05 3.76009204e+05\n",
      " 3.42765875e+05 2.64296290e+05 2.00973514e+05 1.72463552e+05\n",
      " 9.14433209e+04 6.26284404e+04 3.68784641e+04 1.86598591e-02\n",
      " 1.30538975e-02]\n"
     ]
    }
   ],
   "source": [
    "# Verificamos\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.    0.22 -0.22  0.   -0.   -0.   -0.    0.    0.39 -0.39 -0.39 -0.62\n",
      " -0.22 -0.    0.    0.   -0.   -0.   -0.    0.   -0.   -0.   -0.   -0.\n",
      " -0.  ]\n",
      "[-0.   -0.47  0.47 -0.    0.    0.    0.   -0.    0.33 -0.33 -0.33  0.13\n",
      "  0.47  0.   -0.   -0.    0.   -0.   -0.    0.    0.   -0.    0.   -0.\n",
      " -0.  ]\n"
     ]
    }
   ],
   "source": [
    "# Verificamos los coeficientes de las combinaciones lineales corresondientes a los menores valores singulares\n",
    "print(np.round(Vh[24,:],2))\n",
    "print(np.round(Vh[23,:],2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.33363422e+06, 5.67592271e+06, 5.56372431e+06, ...,\n",
       "        8.06450000e+02, 7.59124600e+04, 3.60733400e+04],\n",
       "       [5.83521742e+06, 5.25458256e+06, 5.11138039e+06, ...,\n",
       "        1.98635000e+03, 1.02067270e+05, 3.87128000e+04],\n",
       "       [4.55894798e+06, 3.68545982e+06, 3.37115768e+06, ...,\n",
       "        5.88519000e+03, 1.43196800e+05, 5.34702800e+04],\n",
       "       ...,\n",
       "       [4.06381560e+07, 1.96350281e+07, 1.49208846e+07, ...,\n",
       "        3.46168030e+05, 1.03361146e+07, 2.70661265e+06],\n",
       "       [3.91943090e+07, 2.14817333e+07, 1.59155101e+07, ...,\n",
       "        3.14732720e+05, 7.32199953e+06, 3.42242297e+06],\n",
       "       [3.97353074e+07, 2.34561969e+07, 1.84370551e+07, ...,\n",
       "        3.64431000e+05, 6.37869293e+06, 2.68586917e+06]])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Podemos escalar primero las variables y verificar si obtenemos los mismos resultados\n",
    "A2 = A / sum(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8.32401175e-01 2.04748863e-01 1.47840773e-01 8.66449490e-02\n",
      " 7.22931400e-02 5.93575278e-02 5.32888814e-02 4.51113629e-02\n",
      " 3.57503531e-02 3.37517231e-02 2.43870248e-02 2.29814314e-02\n",
      " 2.03343391e-02 1.72014442e-02 1.51257571e-02 1.37163153e-02\n",
      " 1.30318118e-02 1.12798232e-02 1.02459680e-02 7.44583241e-03\n",
      " 6.44798102e-03 5.96138589e-04 1.30647137e-04 5.71234789e-11\n",
      " 4.48436789e-11]\n"
     ]
    }
   ],
   "source": [
    "[U2, S2, V2h] = np.linalg.svd(A2)\n",
    "print(S2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2276242f048>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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x0v9MZt7cy3LWZZL63w4cyMxv97JsdYuIE4ATMvMnEbEI2AZcAnyNPj/+U9T9Clo89v1wpb8K2JmZr2fme8ADwOoel0k1ycz/BI7uCbYa+EHj8w8Y/8fQlyapfxEyc29m/qTx+V3gZeBECjj+U9S9Zf0Q+icCb0z4voc2/2fMYQk8GRHbGsNalOY3M3MvjP/jAI7rcXl64cbGaLd392PzxtEiYhlwFrCFwo7/UXWHFo99P4R+NJk2t9usWndOZv4ucBFwQ6MJQOX4LvA5YCWwF/hOb4tTr4j4FPAQ8Kd1D+0y2zSpe8vHvh9Cfw9w8oTvJwFv9qgsPZGZbzb+uw8YZrzJqyRvNdo8j7R97utxeboqM9/KzPcz8zDwffr4+EfEAsZD797M/JfG5CKOf7O6t3Ps+yH0nwWWR8SpEfEJYA3wSI/L1DUR8cnGgx0i4pPAHwIvTr1W33kEuLbx+Vrg4R6WpeuOBF7DpfTp8Y/x1/7/AXg5M/96wqy+P/6T1b2dYz/ne+8ANLop/S0wH7g7M+/ocZG6pjG20XDj6wBwXz/XPyLuB77E+JCybwF/zvgorg8CS4HdwOVdGvaj6yap/5cYv71PYBdw3ZE27n4SEb8HbAZeAA43Jn+T8bbtvj7+U9T9Slo89n0R+pKkmemH5h1J0gwZ+pJUEENfkgpi6EtSQQx9SSqIoS9JBTH0Jakg/w89uEOdvt8qDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graficamos el logaritmo para distinguir mejor los saltos\n",
    "plt.plot(np.log(S2), '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.    0.75 -0.63  0.   -0.   -0.   -0.    0.    0.13 -0.04 -0.08 -0.09\n",
      " -0.05 -0.    0.    0.   -0.   -0.    0.    0.   -0.    0.   -0.   -0.\n",
      "  0.  ]\n",
      "[ 0.   -0.13  0.11 -0.    0.    0.   -0.    0.    0.82 -0.23 -0.48 -0.1\n",
      "  0.01 -0.    0.    0.    0.   -0.   -0.    0.    0.   -0.    0.   -0.\n",
      " -0.  ]\n"
     ]
    }
   ],
   "source": [
    "# Verificamos los coeficientes de las combinaciones lineales corresondientes a los menores valores singulares\n",
    "print(np.round(V2h[24,:],2))\n",
    "print(np.round(V2h[23,:],2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ejercicio\n",
    "1. ¿A qué variables corresponden las relaciones obtenidas? ¿Tienen sentido las relaciones obtenidas a partir de los nombres de las variables?\n",
    "2. Eliminar alguna de las variables que aparecen en la primera relación y volver a calcular las relaciones. ¿Se puede ver más claramente la relación?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}