Correccion_Errores_Cuanticos_soluciones.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "1752ce061957fd1ce93d2e4db9494b7b29da7935",
    "id": "4rI4z7kImaoJ"
   },
   "source": [
    "<center>\n",
    "<img src=\"https://raw.githubusercontent.com/BeLight17/Pics/main/Header%20Jupyter%20Notebook/4.png\">\n",
    "    \n",
    "##  Primera Escuela de Computación Cuántica\n",
    "\n",
    "Autores: Fernando Martínez García\\\n",
    "Institución: Instituto de Física Fundamental, CSIC\\\n",
    "Correo: f.martinez@iff.csic.es\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "9b690f2c8129ad9445c544337375b93246c26668",
    "id": "xk_jepAzmaoX"
   },
   "source": [
    "# <center> Introducción a la corrección de errores cuánticos\n",
    "### <center> Laboratorio Computacional\n",
    "\n",
    "## Outline\n",
    "1. Código de 3 qubits\n",
    "2. Código de Steane\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dzGfiu0fmaoa"
   },
   "source": [
    "## 1. Código de 3 qubits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EpnSwN8Pmaob"
   },
   "source": [
    "En este ejercicio nos vamos a familiarizar con las ideas básicas de QEC usando como ejemplo un código de 3 qubits como el que se ha visto en la clase de teoría. Para ello, usaremos Qiskit. Empezamos importando los paquetes que vamos a necesitar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Se nos piden las siguientes tareas:\n",
    "\n",
    "1. Construir el circuito para codificar el estado de un qubit físico usando el código de 3 qubits.\n",
    "2. Construir los circuitos para medir los estabilizadores.\n",
    "3. Introduce un error $X$ en uno de los qubits del código y mide los estabilizadores. Usando estas medidas, ¿puedes deducir en que qubit ocurrió el error?.\n",
    "4. Si el error que ocurre es de tipo $Z$ en vez de $X$, ¿es posible detectarlo usando este código de 3 qubits?\n",
    "5. Realiza simulaciones introduciendo errores de tipo $X$ en cada qubit con probabilidad $p$ (la misma para cada qubit). Repitelo para diferentes valores de $p$ para obtener el threshold de este código para este modelo de errores. Compara estos resultados con los obtenidos analiticamente."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construir el circuito para codificar el estado de un qubit físico arbitrario usando el código de 3 qubits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construir los circuitos para medir los estabilizadores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introduce un error $X$ en uno de los qubits del código y mide los estabilizadores."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Usando estas medidas, ¿puedes deducir en que qubit ocurrió el error?."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Si el error que ocurre es de tipo $Z$ en vez de $X$, ¿es posible detectarlo usando este código de 3 qubits?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Realiza simulaciones introduciendo errores de tipo $X$ en cada qubit con probabilidad $p$ (la misma para cada qubit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "OZXcZIdtMtQV"
   },
   "source": [
    "## 1. Código de Steane"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En este ejercicio nos vamos a familiarizar con las ideas básicas del código de Steane como se ha visto en la clase de teoría:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='Steane_code.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para ello, usaremos Qiskit. Empezamos importando los paquetes que vamos a necesitar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para este ejercicio, aportamos el código para inicializar el estado $|0_L\\rangle$ del código de Steane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Steane_init():\n",
    "    # Definimos dos registros.\n",
    "    # Registro con 7 qubits del código de Steane\n",
    "    cq = QuantumRegister(7, 'q')\n",
    "\n",
    "    # Registro con 6 qubit anzilla que guardará la\n",
    "    # información sobre las medidas de los estabilizadores\n",
    "    aq = QuantumRegister(6, 'a')\n",
    "\n",
    "    # Registro clásico donde guardaremos los resultados\n",
    "    # de medir los estabilizadores\n",
    "    mb = ClassicalRegister(6, 'm')\n",
    "\n",
    "    # Combinamos estos registros en un circuito\n",
    "    qc = QuantumCircuit(cq, aq, mb)\n",
    "\n",
    "    # Generamos el estado 0 lógico usando el circuito\n",
    "    # dado en la hoja de problemas\n",
    "    qc.h([0,1,5])\n",
    "    qc.cx([0,5,1,0,5,1,0,1,5],[4,3,6,2,6,3,6,4,2])\n",
    "    qc.barrier()\n",
    "    return qc, cq, aq, mb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Podemos dibujar este circuito:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPsAAAFVCAYAAAApE5mMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAfhklEQVR4nO3de1yUdf738fcwnAQR8VAopGLlIdJSwnXznN3lLrlrW79Vt2g3M9TNVsvdrb2760f1S828kfZ2K9v6VVuW0rrYD2hdzRxRVwIPaCKaImrqkKIiHjgMM3P/8QWBYYCBub7DdfF9Px8PHzGj872ugA/XxRxeY3I6nU4QUafn19E7QES+wWEnUgSHnUgRHHYiRXDYiRTBYSdSBIedSBEcdiJFcNiJFMFhJ1IEh51IERx2IkX4d/QOEKnu0KFDjS7n5uZi1KhRja4bMmSI19vhkZ1IZ3Jzc6Wsy2En0pn77rtPyrocdiKdkXVk1/3v7H/eCFy81r7bRoQAv5PzQ5JImrKyMinr6n7YL14DLl7t6L0g8p1f/vKXUtblaTyRzqSlpUlZl8NOpDODBg2Ssi6HnUhnQkJCpKwr7Xf25cuXY/369bjjjjtQVFSEDRs2aLr+wewPEX7jLYgaPLbRx946Ww58vAO4Vg307wnMGA0EavRZyj8BZO0DnE5gzCBg0lBt1jWqk+eBz3KA6hpgSB/gF3cBZh5+kJ+fj7Fjvf9ediVl2Pfu3YvDhw9j+/btWLt2LWw2m4zNaK7KBry1GSirvfe/7CpgswNPTPB+7ePngLRc8UMEADZ+C3QNAuIHer+2EV2qAP5qAS5Xisu5xwCTCXg4vkN3SxcSEhKkrCvl52h6ejrmzJkDADCbzYiNjUVeXh5eeeUV/OlPf4LD4dBkO3u+XI7N/z0Xhds+0mQ96yVxlKljdwLfX9Bkaez7vn7QAaDCBuw5rs3aRnSiFKhscAyw2YFDZzpuf/TEYrFIWVfKkf3ChQuoqamB3W7HqlWr8Pzzz2PdunVYvHgx1q1bh3379mHEiBFNbmcymZpc9/iKYnTrPcDtdkb+9PfXT+PdOXH8OEymGI/3u1vvGEx/OQch3W64fl3xsSMwmby/w+SO++Zj7Iw34B8YDABw2O1I+/R9zJ08x+u1jajPrT/G1Gcz0CWs5/XrCvbnwTRtVAu36pyeeeaZRpdzc3ObnA2vWLGi1XVae78XKcP+6KOP4oknnkBsbCzKysoQGxuLTZs2Xd8hd0Nd93euXl7f/sfZ+w8Y0OonwFX6bmBXMXC1CggLBuY/eis+WuT9m+bU2IE3NwKll8VR/YbuZiz5SxJC30vyem0jcjqBj7YD35WIM55uXYDnno7HZy+q9wZFri+ESUhIQFRUVKPrUlJSvN6OSfbbP02cOBEWiwV5eXnIzMxEVVUVFi9eDD8/z36D8GbYI0KB/5zW9tuduQgs+xJ4+UEgXMM7Ru0O4Ng54C9fAcuma3fHn1E5neJOuhX/Av7rIaBrcEfvUcdwHfaVK1di/vz5ja7T4lVvUr/d7HY7AgMDAQDx8fGIjzfGvS99I8R/tRx0QNzTfOuN4mPVBx0Qd8j17yU+VnXQ3YmNjZWyrtQHOsxmMzZu3ChzE0TkIT6qSaQzBQUFUtblsBPpzIMPPihlXd3/5hjhxe/N3tyWqKNkZmZef56KlnQ/7Hw9Oqmm7k5trfE0nkhnJk6cKGVdDjuRzmRlZUlZl8NOpDNhYWFS1uWwE+nM5cuXpazLYSfSGaakiRTBlHQ7MCVNRsSUNJEimJImUgRT0kSKYEqaWuR0AuUVIpqpNbtDRDjt2qQDfeZqFXCtqqP3ou0Ml5IG5OakZaWkjehqFbDyK+BKpRj6cYOA+4drs3bxOeDDbYDDCZgAJI6tD3Dold0hyrWnLorLN98A/Hos4Oe+hqY7slLS0o7sDXPS48ePR79+/WRtSnmf5QAlZSLLfKUK2HpY5J68VdeJu1Qh1i6vFE19jeLA0nx9ECg6K374XakECk8DOUc7eq88Z6iUNOA+J52fn49p06bhwIEDbm9jMpma/Dlx/Hiz22gtJS3qsk3X9ORPc/ujxR+t196WdxgNQ4KXK2y472ePeL1uYJdQnD5jbfQ5tVqtCA3vpevPx5vv/QM2e/0+V9uBF5e+K+3r6e2fd999t9GfpUuXNrnO089jS6SdxrvLSd95552YNm1as7dpa122tZR0e+qydRaubj3N215ar/237UD+SXGqDQDdQgLwdeZq9I1Y7dW6Tifw6hfAhQaf/6i+fXC1vFTTU2KtPx9bDwFZ+WLIASA4AHj9/yThrvf1WfJ1DU6uWrUKSUmN91WLuqy0I3tdTnrmzJnXc9Ikx/QfAQN6ifQ1APxkeH000xsmE5A0CejZtX7t2RP0/7vvuMHAHf3q9/muGCBuQIfuUps88MADUtaVNuyjR49GQUEB0tLSEBoaisjISBQXF2Pjxo345JNPUFlZ6dX6t43/zfU75Bp+rKKgAPFMweTamtFYDR+5iQwHXvx5fZI7uod2a8viZwIeubv+8/FwvPjBZRTp6elS1pX+DLqGOemYmBh8+umnsjepLJlviuhvlre2LEZ9k0hDpqQB5qSJ9MKgP/uIOi+mpIkUwZS0j29L1FGYkiZSBFPSRIqYyJQ0kRqYkiZSBFPSRIpgSppIEUxJEylCVkqaw06kM8qmpDsLp1Mkno6XisuFZ4DBkYAff9waSlUN8O33oskXYAZu6wv07qbtNmSlpDnsPlD0A7B6p0hG2WuDCh9uE98sD8UDI/p37P5R6xxO4Mt9IozhZwJsdvHfjHzgph7AY2OAiFBttpWWlob58+drs1gDPK5IdqQEeGeLqL1U1wD22iBLVY0Y/k93At8Udew+UsucTvF1yj4khryqRgx/jQOosQMnSoHl/xRHey0YMiW9fPlyjB07Fk899RSmTJkic1O65HCIYGPDHhoApD5S/7HNDvw9D7hW7dt9I88d+QHYf7I+c1Wn7uvocIpk9d81ul9NVkqadVmJDp5pOujN+cZA9VPVfH2w6aC7cgI4ZAUuV3i/vfz8fO8XccOnddmsrCwsW7YMCxculLVZXSk8I075WmOzAwdOy98fap+is579O7MZOHbO++3JSkn7tC47efJkJCQkYO7cuW5v40kO11cWfOL0en/unf0eYic+AaDxqbvr5YWrge07duJ3993t1fYAbfbb12vrfZ/nf1AJc0AQgJa/jvP+Wo5fTk/Cdzlr27T+M8880+jy7t27ERcX1+i6FStWtLpOa4VeacNeV5eNjY1tVJddtmwZZs2a5fY2stLN7aFF3nhLobgH12YX69VJfaTxZROAB6f8GGuTvf//N1ICW/a6Wq396hfA+Sv169Vx/TqGdeuGrzLX4Kaea9q0vuFT0u7qsikpKThw4AD+/e9/62qwZYmPEffktsbfDIwfLH9/qH0mDgECPQhuhnfRpr4rKyXt07rss88+K3tzutI1WGSddxxp/o66ADMwKFKbzjvJET8Q+OogYKto/od3gBmYNlKbZHV6eroxH2dXvS77s5HAyAHim6HuG6Hu1C/QH4jpLd50kPQrOABY8L+A7l2AoAaHx4WrAX8/cWb28F1AbLQ225OVkuYz6CTzMwEzR4t3VrUUAkXnxNEhKgK4Zygw8AZjvYGBqnp0BV74GbD/eyD7sHhLsksVwMSh4uytuwF6hxx2H4nuATw6pqP3grzhbxZnaSMHiMsLVwMP3Kn9dgoKCjBp0iTN1+XTZYl0RlZKmsNOpDOZmZlS1uWwE+kMU9JEimBKmkgRTEkTKYIpaSJFMCVNpAimpIkUwZQ0kSKYkja4smvAtsOiZ+Z0Av16ipe13hje0XvWPLsDOHAK2HkUuFwprtt7AhgWLZ46SnIwJW1QTifwz/2iYwaIIikAnL4I5B4D7ugnXihj1tk5Vskl4K3NQJWtcVprTQ6wzgzMmyxezEPaY0raoL46KF7tVuOoH3RAFEltdmDfSWBtTsftnztl14A/bwTKK5o29OoS2P9vU329hbRluJS06hlpAKi0ARu/bT5BDIiB33MSOFfu231ryVcFYt9dNdzv6hrgX9/6bp9UYqiUNDPSwq5i0ZdrjdMBbPtO+u54pMYufr1wtJLTcjjF7++e1HOpbQyVknaXkT5w4ADefPNNPP3007DbPYypG9z3F1rvjQPiXWJOnpe/P5641IbuuZ9JRBxIW4ZKSbvLSN9+++3Yu3cvSktL4dfMuxl2tpT0pMffxvDJIpvdWkp6x/ZsPDNlglfbA7zf77CeNyFxWSECgsQblzW33wtXi2d6DR16F8qs3p2W6D0lLXttQ6ekm8tIJyYmorq6GmVlZYiIaHpXrp6Ks1okiPccB9Z+I051W0oQB5iB2f8xHp+/2vEpaYcDePEfwNWq+vXquO53t25hOPf9Ya8fhtN7Slr22oZOSbvLSG/YsAFvvPEG8vLy0KVLFxmb1Z3hN3nWl3M6gbvl3AHbZn5+wPhBrT+O7u8H3H0rH2+XQVZKWupDbw0z0lOmTMEf/vAHvPPOOwgODpa5Wd3wN4vH0ANaGIhAM/CT4UCYjj4lE4YCESHNP/bvZwLCugD3yomgKi89PV3KulKHXfWMNCCeNJM4BugSWJ8hXrhaZKQD/YEHRgCTdTY0wQHAwvuBgb3FDyy/2rOTZz8VP7j69wKenQKEyAmqKI8paQMbfhMQGyWeelp0VqSIH7oLGNFfDLwehQYBT90rHv/ffVw8wSYsGBgxAIjU8VN8qXk6/VbrfMx+4ih/Rz8x7D+6uaP3yDO9uwFThnf0XqiFKWkiRTAlTaQIpqSJFMGUNJEimJImUkR2draUdTnsRDrDuiyRIliXJVIE67JEipBVl+Wwu6GjV9qSFxyO1v+NHsmqy3LYGzjyA/DO18Ciz8Tl59YC6buACwwrGkZ1DbD9O+CV9fVfx9f+B8g5KpJbRpCWliZlXT43vlbGXtF1b5iRqqr9xtlZBDw5Ebj1xg7bPfLAlUrgzY2ijmtr8HU8dxn4xy7R+Zt/r3gFop4Zri5rJN8UNR30OnanOFr81cLemp45ncCqLeIszObm61htB364BHy4zff71laGqssCxklJO53Al/tbzj0D4t1Rsg/7br+obU6cF8Nsd7m/peHXscYBHDsn/p2eGaoua6SU9MnzQGV16//O7hC/95E+7Tzi/ojuyu4Acork7483ZNVlfZaSBoC1a9fiySeflLHJdrtU4VknDgAqbLynXq/OXwU8+dI4nPq/w9VisUhZ12cp6by8PPTo0QPh4c1nTjoiJX1T7GQkLFiHoJDwVnPPNbZK+Pl5H8s0Qt7Yl7TY54QF63BL/C8AtJztXvCxA5989B5mTZjj1fYAeSnp3Nxc2GyN35LHUCnpjz76CEFBQdizZw9OnTqF6OjoNu+sDDY78MLfxZ1wLWWTTQBGDgzWZB+NkDf2JS32ed9J4NOdrWe7gwP98PZrSRj0flLTRdpIVko6ISEBUVFRja7TIiUtZdjrUtKAeLleZGQknnvuOQBodtA7SoAZuPsW8RBbTQtPwvA3A/fc5rv9ora5vfZtpFt7O6qQQP0/hJqenm68d3FtmJKus3z5cpmbbJeEO4E+3ZtPPgeYRTZ5QC9f7hW1hdkPSJrYfMDTBFHNTZrk+X00HUVWXZYpaYhh/t19wLjBIvccFAA8nya+cXp1BX71Y+D+YR29l9Sa/r2AZ+4HBvcRb2IRXPt19PcTdd9FPxE/1FXFZ9DVCjADPxsB/HQ4cKJUnA52DxHfHHo/ElC9Pt2BefeIZ9FZy8TXLqq7eFMLo5BVl+Wwu/A3Azfr/Hc6al33EPHHiFiXJVIE67JEimBdlkgRrMsSKSIrK0vKuhx2Ip0JCwuTsi6HnUhnmJImUgRT0kSKkJWS1v2Tav68Ebh4rX23jQgRT4MlMhJZKWndD/vFa2y/kVqYkiZShKyUNIedSGeYku4EnM76sqndQO9WcrVKhDmvVHb0nuhDVQ3w/QV56xsuJQ3IzUkfzP4Qpw9vb/KxXjkcwNtfA3/eJC7/338CVbaWb6MHBaeApZmiyb40C8g/0dF71LFKLgFLMoB3NovL/9yv/TYMlZIGjJWT9oWcIqD4nDhKAuKbJmtfx+5Ta5xOYG0ucLlS7PeVSmDdLmOdlWjtbzvEa+Wv1ubHt38HnCvXdhuyUtLS7o13l5NOTU1FeXk5Bg8ejOnTpze5jbtS5+MritGt9wC329jz5XIc2vEJyqyHMfrhV5v8/Ynjx2EyxXj3P6KRsb96A3E//f31yw4n8LfPN+Ch+J9ouh0t67L+gV3wm5QihHbvc/26khIruoYPQ+WV85psAzBWEfc3K44hvHf999T5CxcxcvQvcKrQ0u41Xeuyu3fvRlxcXKPrdFuXBdznpE+fPo3Lly83yeTWcbezL69v/qG3kT/9PaIGj8XB7A/d/n3/AQN0U1o9bAU+3A5U1B4RgvyBZ2dNwfrXtd0/reuySzKAHxocufpF98G18lJN6z1GKuL+1QIUnhE/rAHghp4RKNyzBV2D27+ma1121apVSEpqXL/Voi4r7TS+Lic9c+bM6znpxx57DC+++CL27t0Lu90gb6mpkcF9gCnDRD0lvAvw41uAcXLudNXU3HuA6B5inwGRfDLIQViKxDHAoEggPET0CX89Dl4NujsPPPCAtgvWknZkd5eTzsjIwP79+xEYGAizuZmUq4duG/8btx/r2YQh4o+RRIQCv6/9TWPhaqCXnBdkGUZwgPgBKJOslLT0Z9A1zElPnToVU6dOlb1JIkMzZEoaME5Omqiz45NqiHSm7tdfrXHYiXRGVkpa9696i/DimYPe3Jaoo2RmZl5/joqWdD/sfD06qYYpaSJFMCVNpAimpIkUwZQ0kSKYkiZSBFPSRIqQlZLmsBPpjLIpaWrd1SpgV3F93+6QVbwM00+Dl6L+UA7sOQ6UV4jLJZeAyHDv13U6gSM/AAdPi8uWQuCuGO1fLmpEslLSJqdRqgHUhMMJ/M8eYPsRwATAVpsICPIHggKAx8cBMb3bt/bVKuCDbODEeZGhqos1BJjF69tnjQPCurRv7ZPngf/OFiGPqpr6dZ1OYPTNwIN3AWaFzjld4xUrV65s8hLXIUO8f220Qp/SzmdNDvDvI0CNvX7QATFA5RXA25uB46VtX7fSBqz4l2jm2ez1gw6IyydKgZQNwLWqtq996gKw8ivRcasb9Lp1axzAN8eAT3aIwVeV4VLSMsuyJI6O+SeAapfgT+oj9R9X24FPd7Z9bUshUHYVsLsMXN3aDqeIUH51sO1rf5YDVNc0vq7hPtvsQMEZ4NjZtq/dWRgqJc2yrHxbCgGbB5XXsqviB4OnHA5g23fiKNuSGkf9WYWnrGXAWQ9KrNU1wNeFnq/b2RgqJe2uLFtUVITXXnsNqampMjapnKKznp3qOpxtO5W/VNH0yNscpxM434b34TteKu5b8ETxOc/X7WwMlZJ2V5Z9//33ERERAYfDAafTfTrYKDlhPZi98sz1xHPD02DXy/M/rMSCBc8j/19verRuWK/+eHTpAQQGd21x7YWrgfLL5bht6GhcOOPZYfj2e5Iw/lcpCAgObXGfF64W30MmU0+P1jU6X6Wkpdwbn5OTgyeeeAKxsbEoLi5GRkYGlixZgrlz5yI3Nxe33357k/8Zapu3NgPflTS9PvURMSx1gvyBWeNF3dYTNXbgf//d/dHdde0AM/BfD4tteOLYWeCdLe5/Z2+4LiAeRVigyMub3aWkXV/Prtt74+vKsmlpaQgNDUVkZCQee+wxvPvuu/jmm2+k3duokklDgUAPhizIH7g10vN1/c3AqIGAuZWTLD8TMKK/54MOiAHuGtT6vwv0B+4Z6vm6nY2slLTUh94almXj4uKwYsUKvPXWW9Je1aOSwX2AqAjAv4WvYIAZeCi+7U+uuTdWPE7fkkB/4P5hbVvXZAIejhf71Rx/P+DGbsBtUW1buzNJT0+Xsi6fVGNgVTbgva3ijq8aR/0ddnXD9B+jxFG6PX64BPxls9hGw8fDg/zF+r+dDPSNaN/ae46Lh+CA+ucHmGr3O6oHkDQR6CIn1qJLrqfxW7ZswaRJkxpdp8VpPJ8ua2BBAcBT94qH1rYdFk9l9fcDht0E/OhmINSDU+bm3BgO/Oc0oOA0sPOIeFw9NFi8k82waO+e4TZyADCkL5B3DMg/Ke4nuKEbMG4w0L+n2u84IxOP7EQdjE+XJVKUrJQ0h51IZzIzM6Wsy2En0hmmpIkUwZQ0kSKys7OlrMthJ9IZ1mWJFMG6LJEiWJclUoSsuiyHnUhnZNVlOexEOpOWliZlXQ47kc4Yri5LRO1jqLpsnT/+8Y+YMGECYmNjcfToUZmbIuo0ZNVlpb7E9dq1awgJCcHnn3+O0tJSzJs3T9amiAzL9SWuxcXFiImJaXSdruMVVqsVixYtgtVqRUlJCWbMmIFXXnkFFRUVeO211+Dnx98giNyxWCxNhl0L0o7sc+fOxcyZMzFu3DgkJCQgLCwMa9aswbp163DLLbdgxIgRTXeGiRJSkGtKOjc3F6NGjWp0nRYpaWlH9jFjxuDpp5/GmDFjcPbsWQwfPvz6DjU31IzmkIpcT+MTEhIQFdW4uJmSkuL1dnyWpcrLy0NmZiaqqqqwePFinsYT1fJVlspnwcn4+HjEx8f7anNEhhUbGytlXR5eiRTBYSfSmYKCAinrctiJdIZ1WSJFsC5LpAjWZYkUwboskSKysrKkrMthJ9IZWW9pzmEn0hmmpIkUwZQ0kSKYkiZSBFPSRIpgSppIEUxJEynCkClp1mWJ2s6QKenk5GRs3boVycnJ2LRpk8xNEXUaslLS0obdarVi9uzZmDRpEl566SWcPXsW06ZNw4EDB2RtkqhTSEhIkLKutGF/+eWXMWfOHGzevBkDBgxAYmIipk2bJmtzRJ2GxWKRsq7P6rIxMTHIzs5u8TZMSZOK3KWkbTZbo+u0SEn7rC5bXFyMF154Af369UNycjKCg4N9sVki3XOty54+fbpJSlqLuqzPhp2I3PNVSpqPsxPpDFPSROQVDjuRzjAlTaQIpqSJFMGUNJEimJImUgRT0kSKYEqaSBFMSRMpgilpIkUwJU2kCKakiRTBlDSRIpiSJlIEU9JEimBKmkgRTEkTKUJWSlpalspqtWLRokWwWq0oKSnB0qVLcfjwYZw5cwapqakyNklkSK5ZquLiYsTExDS6TosslbS6bF1Kety4cUhISMCwYcPw85//HHPnzm32NqzLkopc67K7d+9GXFxco+u0qMv6NCW9bNkyzJo1q9nbsH1JKnI9sq9atQpJSUmNrktJSfF6Oz6ry6akpCA/Px8jR47EggULeBQnqsWUNJEimJImUhRT0kTkFQ47kc4wJU2kCKakiRTBlDSRIpiSJlIEU9JEimBKmkgRTEkTKYIpaSJFMCVNpAimpIkUwZQ0kSKYkiZSBFPSRIpgSppIEUxJEynC8Cnpuqrs0aNHkZqaCrPZLGOzRIbT6VLSU6dOxY4dO1BaWgo/P/cnFIxQkoo6ZUp64MCBqK6uRllZGSIiItq8s0SdUadLSW/YsAHffvstioqKkJqaiuDgYF9slkj3mJImUgRT0kSKYkqaiLzCYSfSGaakiRTBlDSRIpiSJlIEU9JEimBKmkgR2dnZUtblsBPpDOuyRIpgXZZIEazLEimCdVkiRbAuS6QI1mWJFGHIuiwRtZ0h67JMSRO1neHqsgBw7do1hISE4PPPP0dpaSnmzZsna1NEhuWruqy0I7vVasXs2bMxadIkvPTSS+jbty/Wrl2LJ598UtYmiToFi8UiZV2fpaQjIyNRXl6O8PDwZm/DlDSpyDUlnZubC5vN1ug6Q6WkLRYLgoKCsGfPHpw6dQrR0dFt3lmizsj1ND4hIaFJXVaLlLS0YU9MTERiYmKT65sbdCIS0tPTm9RlteDzh96WL1/u600SGQrrskTkFQ47kc6wLkukCNZliRTBuiyRIliXJVIE67JEisjKypKyLoedSGfCwsKkrMthJ9IZpqSJFMGUNJEimJImUgRT0kSKYEqaSBFMSRMpwpApadZlidrOkCnp5ORkbN26FcnJydi0aZPMTRF1GoZLSVutVixatAhWqxUlJSWYMWMGTCYTBg8ejOnTp8vYJJEh+Sol7bO6rMlkgslkalLNbIh1WVKRa1129+7diIuLa3SdFnVZaUf2jz/+GG+88QbGjBmD3Nxc7Nq1CyaTCYsWLcKyZctgNptlbJbIcFyP7KtWrcKcOXMaXafFkV3qO8I0lJGRgf379+PKlStYsmSJLzZJZAiuw3769OkmKWlDDTsRuec67CtXrmySktb12z8RUfswJU1EXuGwE+kMU9JEimBKmkgRTEkTKYIpaSJFMCVNpAhZKWk+qYZIZywWi5SjO4edSBE8jSdSBIedSBEcdiJFSItXeKuwsBBffPEFBg4cKC2tS6QS3R7Z16xZA7PZDLvd3tG7QtQp6HbYL168iMcffxz5+fmwOxytJneIqGW6fegtJycH69evR2BgICZOmYZDRd/jyRkJCAjQ7W8eRLomfdgtFgtef/11mM1mXLhwAb/97W/xwQcfIDg4GJmZma1GJiurqvH6O59hQPSN+PVDU2TuKlGn5pPDpL+/PzIyMvDqq69i79692Lx5MxITE3Hw4MFGVY7nX3+32TUKj55s8e+JVLf0uaQW/94nwz58+HAAQJ8+fRAdHQ0AiIqKavJula47y6M6kXZ8MuwNT9Ubfuz6G0RzR24e1Ylap4sju6ca7qzd7sDSt1cjuk9vHtWJNKDbe+MBoKz8CmrsdvSKCO/oXSEyPF0POxFpR7dPqiEibXHYiRTBYSdSBIedSBEcdiJFcNiJFMFhJ1IEh51IERx2IkVw2IkUwWEnUgSHnUgRHHYiRXDYiRTBYSdSBIedSBH/H0I0ig3fX9MOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 314.199x433.44 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc, cq, aq, mb = Steane_init()\n",
    "qc.draw('mpl', scale=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Se nos piden las siguientes tareas:\n",
    "\n",
    "\n",
    "1. Define los subcircuitos encargados de obtener las medidas de los estabilizadores $S_z^{(1)}$, $S_z^{(2)}$ y $S_z^{(3)}$.\n",
    "2. Define los subcircuitos encargados de obtener las medidas de los estabilizadores $S_x^{(1)}$, $S_x^{(2)}$ y $S_x^{(3)}$.\n",
    "3. Define una función que, dados los resultados de las medidas de los estabilizadores, te devuelva que corrección hay que hacer.\n",
    "4. En el caso de que ocurriesen dos errores del mismo tipo, $X$ por ejemplo, en dos qubits diferentes, ¿sería capaz de corregirlo el código de Steane?\n",
    "5. Suponiendo que la medida de, por ejemplo, el estabilizador $S_x^{(1)}$ fuese la última del circuito, ¿que ocurriría si apareciese un error $X$ en el qubit anzilla justo antes de la penúltima puerta CNOT?¿Puede el código que hemos preparado en este ejercicio corregir errores que aparecen durante el proceso de corrección?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define los subcircuitos encargados de obtener las medidas de los estabilizadores $S_z^{(1)}$, $S_z^{(2)}$ y $S_z^{(3)}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define los subcircuitos encargados de obtener las medidas de los estabilizadores $S_x^{(1)}$, $S_x^{(2)}$ y $S_x^{(3)}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ya sabemos como realizar medidas de estabilizadores como los $S_z^{(1)}$, pero medir estabilizadores como $S_x^{(1)}$ puede ser menos intuitivo. Esto se puede conseguir utilizando puertas Hadamard para rotar la base $Z$ en la base $X$. Teniendo esto en cuenta se puede llegar a que un estabilizador de este tipo se puede medir usando una combinación de la medida de los estabilizadores $Z$ anteriores y puertas Hadamard:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 334.55x243.81 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def Sx1_stabilizer(qc, code_qubits, anzilla_qubit):\n",
    "    qc.h([0,1,2,3])\n",
    "    qc.cx(code_qubits, [anzilla_qubit])\n",
    "    qc.h([0,1,2,3])\n",
    "\n",
    "cq = QuantumRegister(4, 'c')\n",
    "aq = QuantumRegister(1, 'a')\n",
    "qc = QuantumCircuit(cq, aq)\n",
    "    \n",
    "# Introducimos el estabilizador Sx1\n",
    "Sx1_stabilizer(qc, [cq[0],cq[1],cq[2],cq[3]], aq[0])\n",
    "qc.draw('mpl', scale=0.75)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Se puede simplificar el proceso de medida de estos estabilizadores reduciendo el número de puertas involucradas. Para esto se puede tener en cuenta que el circuito:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 267.052x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2)\n",
    "qc.h([0,1])\n",
    "qc.cx(0, 1)\n",
    "qc.h([0,1])\n",
    "\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es equivalente al siguiente circuito:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 146.652x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2)\n",
    "qc.cx(1, 0)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Teniendo en cuenta esto, obtén un circuito simplificado para la medida de los estabilizadores $S_x^{(1)}$, $S_x^{(2)}$ y $S_x^{(3)}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define una función que, dados los resultados de las medidas de los estabilizadores, te devuelva que corrección hay que hacer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### En el caso de que ocurriesen dos errores del mismo tipo, $X$ por ejemplo, en dos qubits diferentes, ¿sería capaz de corregirlo el código de Steane?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Suponiendo que la medida de, por ejemplo, el estabilizador $S_x^{(3)}$ fuese la última del circuito, ¿que ocurriría si apareciese un error $X$ en el qubit anzilla justo antes de la penúltima puerta CNOT?¿Puede el código que hemos preparado en este ejercicio corregir errores que aparecen durante el proceso de corrección?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para este ejercicio es conveniente tener en cuenta las reglas de propagación de errores que hemos visto en la clase de teoría:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIYAAAMSCAIAAACQ3ViMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAALhkSURBVHhe7f1/cFTnfff/66+kaZjeZibjiaa3p04oE3dKx5NS3W2IpyNPE+oEj5V+XYdJnNFgigMdN3VwgwiuY/uurThYiVMQMYldpYiafnDM2mkx4UeQfUMVE4e1wbEpXcc4gJW1ASuKvIAQQvL3Oudc5+y158fu2d1r9zpHej7mDMPunt095+yls+/XXudcp+VdAAAAAIAhRDIAAAAAMIZIBgAAAADGEMkAAAAAwBgiGQAAAAAYQyQDAAAAAGOIZAAAAABgDJEMAAAAAIwhkgEAAACAMUQyAAAAADCGSAYAAAAAxhDJAAAAAMAYIhkAAAAAGFNtJBs78/2b/u0DLXVNH1pzbHRSvt67Z459db5z/79/M+vdC8CAwtEj3392VN5QTGR/8gfO3++cHU+elHem0WR+6MmeHX+g7oKaa3Rg4EPOlpw/8MwZeWciFHfF//aBm154dUzeDQAAGq/aSKZ+bdc4bfnqQPHbftqUekC6jY/+bMOOD0X8MpLP7JB/v+0/yRbknWkzld/z7Cda/+0D83b886CpRDb1at+TcksmLPZMHn3h02Lj2Mv2Bz1DE/JuAADQBFVGMvVru8ap9cnvH52SL6eWevwuCxgyOXTsHxfaf4ahXTeTY8+s2eL8nZZ0cafK5PEjt877tw8sfPaZoeL+p9kmRp9cLveESduSxV1x6a9mAACg8TSeS6Ye07j8SD7Or6zTotQD0m76/zLi7Gpat33z+QvyHiMKQ99slzvJJZmQA0SNUXbFvl/NAABA42mMZCePLJkjq41P952JFa+UFBf3KQD0mgm/jDhHXJsOnMWjDJIWe9Qf1FJ8bCoAACmlL5IVT1uPf9wLY3sAxs2AX0acvZPxtUvu2B5K990nHhoqsDMGAKCptEUy5bT12D8AM7YHYF7xl5HpehLRZLbn3+XeyWQwUxYjaQeIesc4cNQiAAAG6Ipk6qkIcY97Se7gY8DMMf1/GVEG1TDZIa8sRuKGNPQiGbtiAAAM0BXJlONe4p6OEnoGy/hodscr3+x0013LliU9r/xHNsbrWU888v2ube4T/+0Drdu++siRWM+Nr7Z3Ka6p2wsxeeHVZ5XVnPejJ4/bv0zHn9M1mR/6j4y6xWKvePXvFalYa6ovpWwoa5H+O5uPfrVmrnj9S6so5I49+cQLX3WGK3SnT3S98OQPj70ae/gG60W2/GTJPPcV5u345hZlAbxerOjIVMNiFJNY2FTsSop3WKPOdiiMnnnmh+qrWfuBZ3K1jsyh7J38RwxW0/DiDYIS/UtTzN7IundlYY3B2oBP7hjKj8t5fLyT3KbrkasAACSbrkhW39ge1uBjohLapVSlJdOWJZtOR57eICqYzQPW5Yb8z5LThzoP/CxeeV1OPe/iVYROST165sk1Sr2lnrwRf05h9MyPH9rhnr8XMlVY8areqzyv1rSPeprMn/xntTT3JlFZZs6Ev2YzV7z+pbWJENKv1s3BqdIrWMqsS+u2f9xjVeHF7BTW/1zzYiiDngcnJTMU/7Qj+pd0tUPnkLlyf2hl9wO1id/wiuGt7K9O0bNVHtuj/l2ZvLic/4nFKeKabLKNJe0MNwAAZgpNkayWsT3UUm/PW75KyD9FjV49evr7S8Pqad9U58WI6nwX9aCgU4GXUuuz2HMWLyRVfirT0xV/qSop1przB378YtkFc2OGXxNXXMPSikr+5Rcifj7wTeVSROV1sRfgV252CiaB2hdDSQ4hk5NPbOVHpNDZDtt/8rNcRDz2pmqaZSzx/wp8PyFF8TJe4MepCmN71L8rGx995t6ye1Fnim7VAADAED2RTDlWRynmyiv+9t/6xCcWOLVI6WGKpb8Zh5x9UVrEfKjzJ9uUI3Mm80NP9hR/MP7QbUd+FXHQTgV1v4tXin3o9he2fc2qmcSLPBl2GFLMOX11sG+RCrljJUc9LfpJdkQ+pIq/VBUV+1vmbPuE3QH1ia4XvM/Rt4lC69Fmrnj9SysvOuzMYB9UVnJM3eiZZ7Yq/b0RKaJ0XUoOzBPL8B+PuC1/3vYln5HNz1fia1kM5Wi60E6wcid86m2HH2jfsUSGGf9+QO350XtkXfy/gpjj1xdn829PZWyP4GUbdezKCs//xNtbiiatNoaSFiUmesMAAEgWLZFMPXu+hrE9nGnhwJNHA/1g6m/5vjpm8kL2IbfgizxCbCq/51lZiNR2lVgN7+Jf00/ce8wrtkrFm3N89MnbvOpty5INJ0PmmbzwP5u8Gm7LrZlgiRl/qSoqGc7OWqRgv1DJ8gSr6maueN1Lqy5GdJeFWh+HdKqoLxLRa6G+gj2VlvhaFkP9ZSS0TC9ztF5j2mH4fkC9albMy9DHUsVfQTE6ls0zkbMpq+D/dUnPrqzYsGNkttjHMgAAgGbQEsmUY3XKnWWh8h03FfELekmdUfrKxfKi/HE4yhvVMMqZhncpXdNynXWx5pz6VeZHXo1b7tQatWIO9G9UsVQVqeWyKGqjzkBTZvM3kmaueN1Lq/SWlA350QewlaxLuXZVGhhK+591LIagvEVwWwnK00sTXUPaYQ37gbpU8VegJPlymTB6e0aP7aFnV6b8Lha5icrEQgAAYJKOSKYcqxP7sCK1Mi5TU0YNG12mvg+IN05aGC3vohS15c6oEeLMWSzsKueocr/rx1+qipRFii6pBaVa9XWlNnPF61/amCLDTOm6lG1X6l9W1a3XUWYxhPJVvuCdauXro2tEO6xhP1Cn+H8Fyq6g3C4uejmVCF163KO2XZna/btlyUO/iD/gJwAAME1HJCuWXOGno4QplnplC5FizVTy03JkfROmWMdUWVtreRe1qi4/hmGcOYubOsYiFY9JC5zgF3+pKiq+S/iRaUX1bCJdK17/0sakrJSvV0QJexXXRckMFev1UNGLYYv4+/JEpalGtMMa9gN1quKvoBhByy5A9GyVG38dOxmHepCq/YJVXMsBAAAYpSGSKb/Oxh7bQ0lx5UqciHpFKWqrmqqrrfW8S/zitfKcSp9Gxa4JS1QXR5UldXnFMjHYB1IqqqBs5orXv7QlrMtnHXkyUzJtU0cHEZNvparpFVEjWbnOmRoWw+FtqPAtr/wJqN0yDWmH5Q6/rCq3xBf/r6BMqlRFL2fUcY96d2XK+WbK5BvqAwAAJE/9kUwd2yPusVVKIVK2Mi7WTGoJohS11U1VHfql510iitoQMeaMWaC7ouvI+EtViVqdxz/sqqSgbOKKa1haSyF3zB94yky+Fq4c8ld5XYozh/Q/17UYtvC/L0/UYXhNb4fF5awUpKuh9W/TFtlmoo57bMCurJD7RckFu93pE12H6DEDACCp6o9k6lklMY+tilsZR/y0rLxjdVNVY7VpeRelqK1QvMaZM7q3IVSxkPWVwvGXqiKlpgwd0E+hfJpqQdnMFa9/aScvvJopdzFfZ/rEHT/5qjc6fGn1XMwnMTp8ir0uvihS92LYikkj/M9QiV4lm6sB7bCW/UCd4v8VxNxfKbP5l7O4Myk9KKBhu7LwuF5++BAAAGBM3ZGsWDVWLnNdUaWeT9RPyxWOttJEy7t4JVfFF4kxZ8yjpyS1QPSV4/GXqqJiTVmpOlc+zZK61siK17i06jCD9jRvxze3yAMFS44Ni1rZKtel2OtSsiIaFsNSKZNEHYan7eMo7gfKnqAVtR+oU/y/gpj7q2Lr8i9nZA5v9K5s9MwzfaXRvfz4nAAAwIy6I1nxJ/B4P5lbYhYixRKnpGKrriKslZZ3iezlCIgzZ3WLpBSIvnI8/lJVFH+RlOhe8mk2c8XrXVrllcMvn+VSnu4v4qtYF2X4+JIV0bEYluLrhP/lRh0uqL8d1rQfqFOchudQNmO5XZyyJ/QvZ9QBjdVtyZqNnnlyTfGa3SHhHAAAGFZvJFOOKYpd30eVej6R9UqVx03VSMe7FNc05LCxEnHmrKaAK7lslK9AjL9UlSjn2JSvqtWL4ZZ+6E1c8XqXtrioFboa1GXwN5746xIVqLQshlApk0SeQKW/Hda2H6hP/L+CWMupdgb6llN5yB+HNOxk4h3VqS5e2a0NAABMqDOSKccUxa7vY54rHz2b8rt7ueOIhJGhby5y5qz+93UN71KslipdTCnWnEqNXml1iosUvPpW/KWqRK3zytaUk8eP3DpPLk/paONNXPF6l1ZpkKGDYXjUP4pA+Rt3XdQrLJcESD2LIVTIJMphjb6PRns7LHtmVMzdRbXi/xXEWoCSAeh9s5U58FLrTqb89mlQsgUAADrUGcmUkiJufR9d6pUo89Oy8grlqpDx0Wfudfs6yl0UOEL971IsxSpVrjHnVLZ2uaOP1EUKXn0r/lJVpBb9Zc7zUdOF74K8ZlbcmqpfWqX2LZOFJi/8zyZlWIVgy1FOTIpeF7VzyReoNC2G8jrhi1HmBCotH0f9+4F6xP8rUBYgajnVDC8m/3IWu8IC76VhV6YkxrJ9vzH7JAEAgAn1RTLl9/JKv/J6Yp7TX/aU+mJ50bJlyabTIdd4VU+fqPWM9nrfxatcyx8mJ8ScUz2gLmrwNN95I8HLRsVfqoqKtaY9zdvx/ZcD27kkGwTq8maueN1LWzwjKKpF+YKQmIL9PxXXJTiaYmmxrmcxlDAQmk6Lf9rBj0ZvO6xjP1C7+H8FlaJj4eiR4rCWYctZvnuq/l2Z2kH3oaUv/E/oRho9/f2lbrKNcyk5AADQVPVFMqU6jFvflyv1FBVmUw+IEqVMzxHvkjuT+aH/2PKTJcUfrSMKnTjqe5fiKlT6WbqKOUt+jy9ZJFG6PZN5oaQ6XPjsM0P+TRf/vSoqVpPtg9/vsX+qb9321b5jr8qicCqf/e/vdxXr8k/ceyxfWgs2c8U1LK26DCXPDVsGewot4v3r8tAv5OuIMPbsK8GLSvleRM9iqJ11YTV6cXOFfTQ622E9+4FaVfFXoB7vOm/HN3edcf/MSxrMJ24bkHsD/3JWOu6x/l2Z2q8rpoUD388oTcLXqGr9fQoAADRSPZFMLVZi1/flSz1PxdkKL7+gFCtRUx15zFbPuxTzaqWLCMWfU4i3SP/2oc4DP/OqZEVV71WWUmuKlxou/gwfOgUTjtDEFdewtCG9T6FT+44lbtqJONRtKr/n2bJXFduy5I697gyBTiQti1F6GKecikdCKodHRnw02tphffuB2lTV8IrLED5tWbLh5K8OR2S8GAde1r8rmxw69o+BHB421bs/BAAAjVFPJFOrujInQpQorYwji6HKFaFQyP0i2KVQnBYO9D8fWgJVp9Z3Ka5CRF3uiT+nFDxWqmRq3fbVzUMhicJS9XtFUmpN58i3yfzJfw7dUGJ5Ml7fgqqJK65haW3joz/bUCYO2V1eI8pPFZGtNzqVzdvxz4OjI14MCO0d0rAYpaer2VMxM8Q70UtLO6x/P1C9KhtemQzs/vkXY5tvT6jsJCNPX9SxK5vMD/UrfbwhU0kXHwAASJR6IlnxbJDY9X3Mc/rj1TE26/ChbT1KwSQKwUeOPPms3uKj+neJP35A/DlV1vFIR558RD3paMuSnlee3BFVBNtqe69QoecEjo9mtysHrfmOofJp5orXv7SKQu5Y6QL82ye6Xngy89/uIWfK7w5lB0X0H5lWXADlFaJ7h+pdjMAhbcWzwmKe6CXU2w7L/oHHnK1atTS8wHGtYlMX//yLm9q/W6timHsNuzKrSTzhO3I1xscBAAAMq+9cMsxcXq2p9SSfRknX0ipRROcwgwAAAEgiIhlq0qCTfBokXUtbHHxCb+8QAAAAkohIhlrEPCcwIRKztLEOY1OW1ncZNwAAAExDRDLUIOY5gQmRnKVVro0W1f2ljr/HUYsAAAAzAJEMNQgdLSOxkrO0ykli1uAN6iXFgsN10EUGAAAwIxDJUL0GXcC3QZK0tBWvSOZO83Z8/2Uu6QsAADATEMlQPcb2qN3khVd3KQPfh00f6vzJj3PkMQAAgBmCSIaqKRfwjXuJcIMSubTjo9kdR0ouQiUm+zpU/5Hl9DEAAIAZhUgGAAAAAMYQyQAAAADAGCIZAAAAABhDJAMAAAAAY4hkAAAAAGAMkQwAAAAAjCGSAQAAAIAxRDIAAAAAMIZIBgAAAADGEMkAAAAAwBgiGQAAAAAYQyQDAAAAAGOIZAAAAABgDJEMAAAAAIwhkgEAAACAMUQyAAAAADCGSAYAAAAAxhDJAAAAAMAYIhkAAAAAGEMkAwAAAABjiGQAAAAAYAyRDAAAAACMIZIBAAAAgDFEMgAAAAAwhkgGAAAAAMYQyQAAAADAGCIZAAAAABhDJAMAAAAAY4hkAAAAAGAMkQwAAAAAjCGSAQAAAIAxRDIAAAAAMIZIBgAAAADGEMkAAAAAwBgiGQAAAAAYQyQDGmLKNjk5eenSpYmJiYsAgKQSe2mxrxZ7bGfXLffjANAsRDJAPy+MydsAgDQQ+20nlQnyLgBoPCIZoJ/4Lhff62NjY/I2ACANLly44KUyeRcANB6RDNBvcnJyfHx8dHRU3gYApEGhULh48SKRDECTEckA/S5dunT+/PnTp0/L2wCANBgeHh4bG5u0ybsAoPGIZIB+ExMThUJhaGhI3gYApMFbb7117ty5SzZ5FwA0HpEM0O/ixYvvvPPO8ePH5W0AQBr86le/Onv2LJEMQJMRyQD9RCQbHR395S9/KW8DANLgjTfeIJIBaD4iGaCfE8lef/11eRsAkAYikhUKBSIZgCYjkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyUybyGeWt1RlTk92Qj4ZiOFkpnMOLWf6IZIBMIJIBuhHJDONSAZNLr2+69s9ls3ZEXmXg0g2PRHJABhBJAP0I5KZ5kWy2fM777QL6kq+vet1CjAETWR77OTV0pnJy7scRLLpiUgGwAgiGaAfkcw0L5LN6cyclPcBNYiMZBOFM2/mhTdHxqbkXZgGiGQAjCCSAfoRyUwjkkGTyEiG6YlIBsAIIhmgH5HMNCIZNCGSzTBEMgBGEMkA/YhkptUZybynL8/kJ95998Lpw0/13P6Z+bNmfXTdYatMy2c6iy8+NXH6UKbn9hvmt7bIhz0XR3L7tj587+1LbmyfM3tO+41Lbr/34a37ciMX5eMl3HOTnNJ/4tThzEPiRWe1XLfu8FlnjnAlCzM5ls8+tX7N8i8smj9rbvtNy7t6Nu8+cjrsXKeYbxd/FUo32tQ5a0FWr7AWZI5YkNU9m/ccOXNBzhs0MZzb94OH7769U8xvvUjr/EXLunr+dfuB10Ymoo8LnDh9ZPfmnq7lN7XPnTV/0ReWr1n/VDY/NulfuxLuGrnvNGv+Dbd29fRt/+kx30rJDevjtajy55JV8dG7oa+9J1uQn+BGZ/HEJ3jL7feLRTte4NjIZiGSATCCSAboRyQzTWMkK5zc+bV2u3YXZPldTEEnJk7uWN1+hf1gaXU+MbSv5+a58oFSc2/u2TcUKOOVFDFxfOfqhe57OpV6tOLCvJrfe9+17tMUV93QvTfvDzYx3q66VVA22olf7r37UyELMufG7oE3Ais+NZF/tmfx1XIev9a2FY+9UggWx+JZe7tvuErOpZh17X1786+GR7IyaySe2Palza/8priZao5kVX70xUh28I0jW1d5jU1xxbV37wl8gmgIIhkAI4hkgH5EMtN0RbJbHt229pNKieyLZF94dEvPJ908JnjV+cQbbiaZNWfRynWP7dh/MHtw/47H1q1cNMe5+1N37/WFE7fE/8J3tvV0KO8ZM5Jdcd2tt1iLOqeja+O2gQMHswf2Zv7lnzrbWu0XueKTPT8dLSnpK71d1avgbbSFty4XAU88q2tjZu+B7MEDA5l/uW9Jm/Meszp6Dg6XLMjF3ObPOfnlqkVdD2cGnssKB/fvfOzbX17kJK5ZV63ceao0j0z9+r+6r3W2fGtb5z/9i3yjbRu7OsRazfrkLbdeZz9aEsnOvbb5ltnWvd6yCc/v37ll3ZdvsLeFWITVu0656zSWPyIe/+nm2533WdSzy5r/hSP5c/bDEZGs+o/ejWQfXXb7EmuFrU/w8V37nxfb4PGNXfJZLVd29B0J7V2FXkQyAEYQyQD9iGSm6YpkV8yZM7tl7ue7M8+//mtlXD2ZgmZdOefKWS1XL+7edvD1YeXhi/ntK+2QccW1d+88YR1H55kcO7HzbidLzF25Pa/W2G6Jf+WcObNmzV389cxB8Z7qcyOonTltd+3KlxwcOFV4qW/JR62HZn1m3eFRea+l/NvVsAreRhNmt63eWdqrc6nwyqYlc610MeuT6w+f8x6aGj+8foH1lLmLv3vYd3je1Nj/PGaHlJZZK+wjSD2/yfZcZ93f8tElfS+VPutCftddbfZjFjWSjR9at8BKZLMXP/qyr9tt6uxrj91qp7W5SzInSl4v8lyy0EhWy0fvvYMw+4YH/1/JJ3ip8PKji+0la7m6J3uhdAOhAYhkAIwgkgH6EclMU+NBDP5jz5Snz7pp/eERfyFcTEFX3rA+6z/P59zPej5mF9EfW3tgNFjVXRo9sPZj1sOzP9bzM6fDxeaW+OI9b/jO4ZBD9SIUF2bB6gFfZ5IwNXHi8SX24rR2DSiZrOzb1bIKyka76q6B4eCzxk5sXW6/6PyugTPyvncvvL75Zuu+eV8/UMxpnkunt3/J7iQq7SocHeiyO/9mL3n8RPBwvqlTA6vtlCcoOWrq9c0d1l3t9x8oveaz4/T25fY7BdpCNZGspo++GMlmfb4vp7QI6cxA13z74Zs3vx59Mh40IZIBMIJIBuhHJDNNVySbNe/+54I1cjEFhQSJqXMHvj7PeuyqW3z9LZ6p17d+zi7CS57uZaSIzBCl3MLYpoa2r7CX6Ip79p+N83a1rUKljSaedGr7CjuwXPG1/e4QIuP57I+twyyP5MfkPSrvNdVINnV2/z12Z9O8FduHQlfYXf6SHDWZz+6wjoo8mg+9jpi7GeuIZDV+9N47zF6xPRipi6m14iGs0IFIBsAIIhmgH5HMNK+Unz2/886eir696/WS6st7+se+tn9Y3qdyy3clWnjOHdlod8aU69PwiuyOjUe88OKW+CXBKQZ3YUo7wVRjub6b7Flu2XrSO16uzNvVtgreRlM7wUpNHu1baHdvLd56svwqTo2NvDn0+uH/uH/RlfZrqmnk4smtt9h33tSXC8txgtuNFshRQZNjI6fyr7+4/f7POOds1RHJavzo3Xe4omPzL8K2SmguRaMQyQAYQSQD9COSmeZVsXWeSxZRBEf1qFje2nW7PXjgld0HIs/8mbpwoNuOGlffvusteV9IiR+PXJjZ12x8OaKEDF2dMm9X2yp476LmTJ+oN50cy7/0zH8+trHnvq7lnTe1B0crVJe8kO1pt+90LlEQ5tLhdR+1E1Ygkk1Z7/Qfmzd+8/6uFeKd7KUp4V+0KiJZjR+9+w5RbZVI1lREMgBGEMkA/YhkphmMZLGSVVgVXmckK7Om1Uay2lbBe5fopBT6yhND+9Ytk+MxquZc27n62xvvusG+UWUk896oJEddyO9bv0QOQama29751fUb13zKvuFf6SoiWW3bjUiWLEQyAEYQyQD9iGSmGYxkpnrJyqypd6Rf2IGLIW9XZy9ZdFKa+uXWxfaTvAMXp4YPukPwz2rr/NrDW3bu/9nh3In8mYL9EqEfhLc6VUWyS6MHvy2vZzBrQefXNjy2c//Bw7mT+bcLzgAhUZ9pFZGMXrLpgEgGwAgiGaAfkcw0g5Gs7nPJaoxksz667nBECfmbA/dfY83SumZg1BuWvczb1Xku2XXrDgfOsHNcOHC/HUe8096mTmz9nBWTZs1dsinsetChH8Tk6MAau6vrmvsP/Ebe5xM8cNEbV2PurX3q9aA9GiJZneeSEckSgUgGwAgiGaAfkcw0g5Gs7hEXa4xkLbM+tzX8/dzrcc1akskXZyjzdnWOuDjnc1tfD3tW8RJk7rW/KoYrr0Os5IOYymeWWIEr8vQ5N+kpOcod8OPK+w+EpqWpk1sX28+oI5LVOeIikSwRiGQAjCCSAfoRyUwzGMneVS5O9c1sMXF5Kl2XrNZI1jJr8cZXgkt7aXjgLvtyy76cUPbtalkFb6O1zLrhe68EB5r3Lhc2+28zv3KOn/SeEh7JpgrZ9TfY3Wq+D2LqROYWZ51CL4BWeGXjYieRFXOUu5XCI9nUyOH1NzlPqSOS1fjRE8kShUgGwAgiGaAfkcw0o5Hs3Yv57SvtQQOvuPbunSfGvGMFhcmxEzvvvta+qtbcldvz3pldQt2RTGSha+/ZfmxUiQJTE/mdq9vskNB23/5fqyVm+berYRWKkcx61te2Hys5EPFCftddbdZDs9vu/n+/dhfx0pGN9iGVsz/W/Zy63PYYjM/1rbhGJiv/B3Hp1/vvk6+2emdevVr01Oix7fdc6z6tmKMuvbzxGics+S/iPDU2dKDv77zxRSIjmX/g/tANWMtHTyRLFCIZACOIZIB+RDLTvCo23nXJLP+eHfEqsDojmXiBN/be/Sm7yJ81Z9HKdY/t2H8we3D/jsfWrVw0x7n7U3fvfaP0ufVGsllz5lg9SnMWrujZvHP/8wf373x8Y5f7dou6nztTEigqvl3Vq1Dc5nPmiOAxa861f9uzWTzr+f27xIJ0OLlm1rUPPqcmw4tH+jqcfrCrFnV9d/v+57PZgwcGMv9y//JrxbvMumbprR328YZXdfb97OTJoTNe59vUmee6F7mL17Xx8Z3WG+3c3LNiofVGV85xllHp2jqX6/u8N/93t+87mM1mD+y130lkqNa2pUtvtN9pdmffoZMnT55xr3g29YvNHXaOmnVdV/+eA9kXjuSd/q2IDVj9R08kSxQiGQAjiGSAfkQy07wqNj51+L66I5kwMbSv5+bgBbYsc2/u2TcUeGK9kWzOfY/vlGGg1Jwbuwd88U+I8XbVrYK30f78vm1PyO6gErPm3LB2IO87bPBS4ZVNS+aGLLV8i9F9X7vKe7R0iMWJNwa6b7TXoZTIPDsfv895QDnacKrwUt+Sj9r3+ly9uOfZ/MTb+79m99hZ1HTkZTmH91D0BqzyoyeSJQqRDIARRDJAPyKZaQmIZJaLI7l9Wx++9/YlN7bPmT2n/cYlt9/78NZ9uRH1eEVP3ZFMPG/qXD771PrVy29qnztr/qIvLF/d07cjmw85qyn228VfhZKNNjU2JBdkzhXzF928vKun7+kX8iUH8nmmJk4femrjvV+6Yb6VfOa037R8zbriW1zIH+j/2q3isbntnRsOFHsybdb67ujrWb38C4usGW5avnr9U9b6ekcb+k4Amzh1+KmNd3/pM/Y72fOve3xfbtjeAFMT+ef6vnbrovlXzGlftu7A2/YTbBO/OrD567cvbp8jlq1zRc/+0/a95TdgFR89kSxRiGQAjCCSAfoRydA8cfNhoyUpObjjK5reJkgfIhkAI4hkgH5EMjTPDIxkY/kjWctLJwthHYDeqCFXLt76y9AZgChEMgBGEMkA/YhkaJ4ZGMm8S05/eddwSOT6TbbnOntJburLuaN0APEQyQAYQSQD9COSoXlm4oGL7lAcszp6DvpC2YX83vvsQfBnzf3b/1QujQ3EQiQDYASRDNCPSIbmmYmRbOria499zr7MWMusBUse/Pe9Bw7ao+dv80bbb5l7e+YEXWSoGpEMgBFEMkA/IhmaZ4YO73EhP7D2Bnn1Mb9Z196Zyf2GHjLUgEgGwAgiGaAfkQzNM0MjmTA5ls8+tfHe2zsX2YPaz7LGz1/9z4/tejFitH2gMiIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkSyhpjI9syxL3zVmcnLu6a7GbjKgFFEMgBGEMkA/Yhk9bj0+q5v9wjf3px9W97lIJLBOLd19mzOjsi7MK0QyQAYQSQD9COS1cONIXM6MyflXQ4iGYzjE5nuiGQAjCCSAfoRyepBJCsiACQNn8h0RyQDYASRDNCPSFYPIlkRASBp+ESmOyIZACOIZIB+RLJ6EMmKCABJwycy3RHJABhBJAP0I5LVZCKfWW5Xuz7LM/kJ+/GSanhqbCj71PrVy29eNP+KOe03Lrm9u2/78ycKwSrqZKbTfppTQ0+cOpx56PYb5s9quW7d4bPOHLaLI7l9Wx++9/YlN7bPmW2/4L0Pb92XG7koH1flM532gszpydpL5lPI9rTbj7tLXuLCmSN7NvesXn5T+5xZ8xd9YcXq9U9l8+emiquvPKvGVZ6pJk4f2b25p0ts2rnWpl2+xtq0Y5P+NlDC/dw7F4k2Icyaf8OtXT192396zPfRux96qcAPB8LEcG7fDx6++/Yl4iNuaZ2/qPP2uzdmDhwvTMnHfabG8i/tfuyfv+bMP7f9ps7lYgGefsFecjQbkQyAEUQyQD8iWU3iR7JtJ/J77r72CvtGiVnX3rc3f8F+NY9Sjk8c37l6oV14C+092YKcZWJoX8/Nc+X9pebe3LNvyJ+rao5kE28MdN/orESJWZ+6e+8vT5SLZFWtciVT5/LZHX0iFn5B5JBZc9pvsjNA9kShdGlHB7pa7be44XuvjAXzxFiu7ybxaGvXwKi8xyVe/6WBrevWLO8U+XaWlY6WfPn+vu0Hjv265A3c169gYV+ucjaZmsjv7b7hKvkUhb19Xg2PZGU+d/HEti9tfuU3xdWOFckuFY7tuD9sMVparrh2dSbnz8+XCrnM6rCPVZh17Z2ZnLIAaAoiGQAjiGSAfkSymkyN5Y9ms9mfbr7dLlGvWNSzQ9zMZo/mnTzg5ZM//1ynVcVetejL3978nwMHss/v37n5wSULnKw1q6Mvd1GtY91I9oXvbOvpcPOY4EayiTf23v0pp4NkzqKV6x7bsf9g9uD+HY+tW7lojnO3yEtvlGSJ2iLZ1JnnuhfJhWxbct+/ZAYOHMwe2JvZ2GW90ayFy29daD8YFsmqW+Vypgovb/3yJ93tMLf9pptvapepxB9CipHpo7dsfTXQXRgeyQKv/wUr98mbVy/ueTY/4b7DuezGpZ2Kzy+aL95PRMQb5R2Or24/WWnlpn79X90y2LS2df7Tv2T2HsgePDCwbWNXh9h+sz55y63X2Y+WRLJzr22+ZbZ1r/jcuzZaTxHEht2y7ss3OFu95arVu065n8VY/oh43G2dLYt6dlnzv3Akf07OIGLhicyKuc66XtG+4puP7dx/8OD+nY99+8uLnJA2u+2rPz6trMvUr//f3W32Isy54cvrxAf7XDb73MD2rf9y35I2+2VmXfvgc78mGDQVkQyAEUQyQD8iWT3cGBJ9LpkQjEkTJ7Z/+WP2Y5/syaoZwY1kV86ZM2vW3MVfzxx8/dfFQ8Iu5revtBPJFdfevfNEyaFik2MndsqOqbkrt+eVSFJLJJs6l/2mvXyz5i7Z9EpJb8nURH7naqc0t4RFMqGKVY40VXipb8lHrWWwtsOJgkxHk2Nnjgz8y8p2EQPmLt+cczsP1V6subdnTozJ+6WQSOa9/pwb7tn6XO6M3J5TE4WTh3d9Z3mbeDmxnfcUU1mJMwNd88XrLew7WuURe7/J9lxnL+VHl/S9VHp84IX8rrva7McsaiQbP7RugbXNZy9+9GVf59XU2dceu9X+POYuyZwoeT3vEwkeA3kxt/lzTrj1L8bU2C93ydj/yfsPDMt7371wbPMXrDtnL+37n9HSLeIt9pzPbX09dGOhQYhkAIwgkgH6EcnqESOSXdnRdyTQaTN1IdtztfXoFR2bf6FUsW4kE0Hhhu8c9hXf537W8zG79v7Y2gOjwQrs0uiBtXbomf2xnp95vSE1RTInb4hXWr7Vn22ES8MDd7mHu4VGsqpWOcro4XWfERkgZDtYzh3b+rciUhT73GQku/bW5SJOzLpq5c5TJe8RiGRuN2DE609N/Gr7l68Sj4f2uQm1RjI3Os5e8viJYNibOjWweoH1sKDkqKnXN3dYd7XffyDsms+nty+3I5T/I46MZJOj+++1P8ErPtnzU1/AsrgtbfaK7e5mfGvX7fanF0x3wtQvNndYPwfMvn2Xl+HQBEQyAEYQyQD9iGT1qBzJZt++3TucTBWelLxIFiy+p84d+Po866GrbvF1hnimXt/6Ofvp875+4Jw7Sw2R7Oz+r9n9bUpFXurcc/fPs0NAaCSrbpXDTZ3e+eW5Ilt9Zt3hiC41ZxlmfWHzMfvkNBl1buo7/NONN1zZMmtR93NnlGX3R7KpE1s/ZwWyz/flium1lJs81Y1ZVFskmzq7/x57085bsX0obNN6n3JJ+JnMZ3dYBwq6h8X6RG3YyEjmRe6/zfwqLG+6m6tl9j/sGnZqfbdlXrVm16lx+x6YRyQDYASRDNCPSFaPypEsaryH8pHsinv2n/UV3+eObLR7Slpu3vx61AgZF17ffLM9T8fGI27SqD6STZ3cuti6p0zecGv60EhW3SqHmji1/fbZIjF9ZvOxmInHi2S5s6MHv/1JEdY+uf5wMUr5Itn4ia1LRSKLzJwOebhgaN9UbZHs4smtt9jbQCxnsPvR5h2BGdofVWJybORU/vUXt99vdScKcSPZhQP3X2ndPWtJJh+x+pcOr/uoNcs19x/4jX2He+CieJZzbmE2l/eNsIKmI5IBMIJIBuhHJKtH5UgWVViXj2QhqcU9cuzK7gMXomLE1IUD3XaxffXtu96S91UfySJXqujs4XXOCVFhkay6VQ5VOLxukUhMC9YditsjU4xkY+5BiVfesPElN/f4IpkTqCqe+zRy4H6xcUJzV22RLPQw0VJWGLKzT2AzWgPQP/Mfmzd+8/6uFZ3WGPR+cSOZ+0Fc+bVdb+QjHHa6yYptwD31TjW3vbOrp0/Es9dHws+4Q2MRyQAYQSQD9COS1aOJkazMQ0Uhy9OQSFb5umQhqohk1QceNZKJ/HBq58qrZrXM/dutx5zewtJINnm0b6GYe37XwBn70Sj+wx0VDYtk3gddshkv5PetX2KNOOIjQtFX129c8yn7hn/DRnwi3t0xzL5m48tesW9day7zzRXXhgzFP6ttac9/vvxrgllzEckAGEEkA/QjktUjMr3UmE8S0UvmHriY4kgm2rU9OuWsuX/7n/axeQmJZN6Bi1VFskvOoZiWWQs6v7bBGrD+cO5k/m05CmXUhtUQyUI/rIlC/tXD+3c89vC9X7KuY+654pPrXog6Mw+NQCQDYASRDNCPSFaPJkayBp1L5kQLQQkJ7ulMV95/IOKdGn3gopOFZs27/7m4Jb4/komW/erWWz7a0rJg9cCpKX+4cta6+QcuTo4OrLE3rXeOVkDwwEVv1Ja5t/apl2LzVBnJLh3ZeI19d4wPoqLJsTO5/f3/YF2TQIga2QWNQSQDYASRDNCPSFaPJkayxoy46F7wqiRcTZ3ILLEPTrtm45HQSs97o0ZFMnd4j89tjVhVbxncsTeCkezdqYu5vo5ZziWMz5ZGMlPDe7w7lc8ssdJLyQGBKjkUpOBtxkoJ2e3VDGzYqE/EfcEyw3tMjY28aZ1S9uYZewyPS6/v+naPsHHX697mVZ09svH/Z7+Te01zNAWRDIARRDJAPyJZPZoYyYpXi2r52DezIcOyR1yXzL1oVVj9HXGFsXcv/irzt/Y7OV1MPlNjr3zvBic2NCqSvTt1avsKK5NFDVIv41bLVXcNOKO0h0QyofDKxsWzrAPq/utQ6SGIhgbBt944c4u9yb0lL+EssM3bjO52C49kUyOH19/kPCVuJJsa2r7CTveRqz92YutyuwEsWnfYilhu6ou6plyMkSTRAEQyAEYQyQD9iGT1cIveKxdv/WVJqdqISCbPjxKuuPbunSfG1CwwOXZi593X2pe8mrtye1652NSllzdeY1fXs25af3hEWchLhVc2LZkr6//SSPbu1K//391t9rPa7tqVV4PApcKx7V9z3sjSqEjmXjR51twVmZBLKk+8nlkhEpFy8lJ4JHt3avSnPZ+8omXWp5bfeq14uHhWmByVcdbcJZteaealot+99Ov997VZm2F22+qdeXXVpkaPbb/nWu8D8Taj9wkGLhE+NTZ0oO/v2tynREayxVtPlmzCqXOH1zsnp81e/J2fnfYFvQunDz5iNwzvTDylN/Wqf3jqhO/6DFMTw4PWRhYWrD88Hviw0DBEMgBGEMkA/Yhk9Zh6fbNzgtesa1f371Uu5tuQSCZe9o29d3/KrqVnzVm0ct1jO/YfzB7cv+OxdSsXzXHu/tTde98ofeq5XN/nZdE+p6Nr47aBAz87MPAf/Q8utUr5uct77rO6j3yRzEoOzz0o44H1rMd37X9evNHmnr+91nqjK+bMsQv0xkUysW1//V/dVvZrbVv+8N4jp9yLJE8UTjy3+ctWoJj1yW8f9CJKRCQrWRE1konXl6O6z5pzwz1bn8udkRF3aqJw8vCu7yy3hjcU0XdPSWoqqjmSiXdw0qAgPkSxaXfuP/j8/p2be1YstLbflXOcT1LZjN4naM3/3e37Dmaz2QN7M/9y/3Jr8MPWtqVLb7QPRJzd2Xfo5MmTZ9wtMPWLzR12Upp1XVf/ngPZF47k3T6xqd+80nerHDlxzg1fXtef2SWa0nMD/7l53ZdvcD7GWdfet7eYxidO7VotO1TnLFx+/yOiQYimJxrS5nVdN823377lYyt3/YpA1kxEMgBGEMkA/Yhkdbl4pK/DHuNQciNKgyKZMDG0r+fmkGHIhbk39+wbCnnexPGdqxe6qUQx95b1B3/1q+DYidKF/MDaG2Q+UImg8sS2+/7c/n8DI5mVjvL/tb7TvRbWnPabOr9wU7uz6iKnfe85tfsuMpKJl/nVrpX2EZ2lkUyYKry81U53trntN33hC4u8IQSvXtzzbEQeE+qIZMLEGwPdNzpbq4RI1Dsfvy+wGcOuCeZwFvLt/V9zBuwQ1GNolTRuKT28duo3R7auksNy+M2a2/mdks0rlJtfvPaN3bt/6cZmNAmRDIARRDJAPyJZfURsOLD5/tsXt181p/3GziXf3v9ruzZqXCSzXBzJ7dv68L23L7mxfc5s8b5Lbr/34a37ciNhR9g5pkZf3//4utUrrMgxa/6iztvv3vjDbP7cVOhw9kWTY/kXnu7r6Vp+86L5V4hMtHz1+qeyQ2NTYdfX0h/JbBPDuX0/ePju2zutsCRS0/Kunn99OntCjv/uKRPJxNrn//Nv7UM0fZHMMnUu/9LA1nVrlneKjWltmy8s+fL9fdsPHPt12YWsL5IJ4n2zO/p6Vi+3PhJrvaxNKz6RqM04cerwUxvv/tJn7Mhoz7/u8X25YXshRSN8ru9rt9qf0bJ1B962n2Cb+NWBzV8XrXOOFWhX9Ow/Le+X1M+3tcVa+aW33/0dqymFZ1Exv9hY37n79qX2tapb5y/6fOW2h4YhkgEwgkgG6EckQ/WcQFJtukIMMluyaVEZkQyAEUQyQD8iGQLO5Y+8kBVeOlkI7SzxBpzwjxuBSsbyR6wtG71p5UXDAgPGAAFEMgBGEMkA/YhkCPjNgfvtXNC6alfIQO1T57LftM/NquOwvRnrwoH77XMPW7+8azgkcv0m2+Ncg5vR5FEZkQyAEUQyQD8iGQImR/ffaw+vd8Une346WpIcpibye8JH20cs7lAcszp6DvpC2YX83vvswSGV0eeBaEQyAEYQyQD9iGQIcTG3+XPu2IZL1v5/1vj+9sDrG7vkaPst81dkXudkp+pNXXztsc85VxCYtWDJg/++98DBrDWa/LaNXR3OuB4tc2/PnKCLDJURyQAYQSQD9COSIczURH5v9w3ySlR+s65bnTkafi4UKou6uoBl1rV3ZnK/YdMiDiIZACOIZIB+RDJEmRobyj610R5/3hkEsP2m5WvWPbbLHj0f9Zgcy4tNe68ztL8IYvYFBv75sV0v5uUVq4HKiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6EckAII2IZACMIJIB+hHJACCNiGQAjCCSAfoRyQAgjYhkAIwgkgH6TYNIduls4ezRl0cGB97+UebNTRt+9b0eZxL/F/eI+8WjF0eG5dwAZrzJi+Njbxx/56Ws2EWcfmqLt9MQk7gp7hQPjZ/Ky7mTikgGwAgiGaBfeiOZKKpE1vKVU2Wmt7b2iTJLPEs+H8DMI5LY8MAO384hanpz04aRwYHEZjMiGQAjiGSAfmmMZCJWiXCldohVNY0eHCSYATPNuWO5t7b2+fYGMae3f5RJYDAjkgEwgkgG6Je6SDb2xvGaw5g3iVc4e/Rl+YoAprVLZwsiU/l2AjVMI4MDifo1h0gGwAgiGaBfiiKZKIZESeQrkuqZhgd20F0GTG/njuXq/xHHm97a2pecE1OJZACMIJIB+qUlkonsFP+0sfiTeE1SGTBdvfNS1vcnX/8kAp6IefINjCKSATCCSAbol4pI1qA85kykMmBa0tup7puSkMqIZACMIJIB+iU/kjU0jzkTqQyYZkRk8v2Za5+MD/hBJANgBJEM0C/5kayhP3V70/DADvl+AFJOhCXfH3gjpjc3bbh0tiDf0gQiGQAjiGSAfgmPZGNvHPeVQY2bGIMRmAYmL45rHM+j/HT6qS3yXU0gkgEwgkgG6JfkSNbM0kpMxn/zBlC/5vSre5PBn3KIZACMIJIB+iU5ko0eHPRVP42eRDEn3xtACjXnkEV1enPTBlNnohLJABhBJAP0S2wkE1WOr/SJnu75wXVXtjg++IkfPLQ2MENxGvr2bas/cpk96+yFi7/03xv9M9BRBqTX8MAO31902KRzjyGmd17KyrdvLiIZACOIZIB+iY1k1VxQ6MHX7rx+vl00tbRcvnjFnUP+Gdxpw1fWL/hde7bLPn79F198ODDD93pGDw7KJQCQKpfOFnx/zhGTzj2GmN7ctEEuQXMRyQAYQSQD9EtsJHtra5+v7ik3fffORxdcbldOLS1zOn78ncAMYnr4rsevv+r91hzv+dCCm59LWHUFoE5VHOqsb4/hTGNvHJcL0UREMgBGEMkA/ZIZyS6ODPsqnkqT+rP3lbfdcU/gZ+/7nrn5j53Djy77k79+Zn25Q5WMVFcA6lTN7zg69xhiMnIaKpEMgBFEMkC/ZEayao5adKeHv/Ktq2fbFVTLZQs6X/yu+ugDP1txzYfsh97/kb98/MEHlIdCJo5dBFIn9lGL7qRvjyEmI73rRDIARhDJAP2SGcne/lHGV/HEmNYeueMTv29XUS0tf/BPX+v27v/v1Ys+/l777suvefSBytWVeHe5HABS4tyxnO8PudKkbY/hTBdHhuWiNAuRDIARRDJAv2RGsjdruxzZw//wwB/8jl1Jvef3r1t+xLpz7av3LP7s5e+xq6s//dY990Wex186yeVIGFGBHTp0aPfu3blc7vz58/JeQLfh4WHRxjKZjPhX/F/em2w1da1r22OIqfkHPBPJABhBJAP0S2Yk89U6sadvvLjiY87pHy2//bFH137jxINfXOkMYP3eq1auvOuEf/7IydSFhqIMDg52dHTYKya1tbX19/cTzKCXyGCrVq2Sjcwl7hHVv5wjqeINf++btO0xxNT8ofCJZACMIJIB+iUwklV9Tog69f79XR9+n11hva+t46+7/+QD9v9/79bb7qyquho/lZdLkwC9vb32WoRYtmwZqQy6iOQvG1ZAW1vboUOH5HyJVNPRztr2GGIikgGYIYhkgH4JjGQiDvlqnWqmB5675Y/tcas9v/vZzjte9c9WYUpOJMtkMnI9IohUJmcF6pDL5WSTiiBSWZIPYqwxkmnaY4iJSAZghiCSAfpNu0jWM/TQ8ts+aJ8KYrns49ev+HnJWGqxpoREMlEBy/Uoa/fu3fIJQK18R8aG6u7ulnMnT62RTM8eQ0xEMgAzBJEM0G+6HbgoCqx1f7daHonU0vLe/7PxgW/4ZogzJSSSVewic9BRhjqJ4l42pkoS21FWeyTTsccQE5EMwAxBJAP0m17De/QMrb/jWwt+V1ZXlvfNv/HvXwvMVnESsVAuilHBgRaiyCcANYkZ/oVcLiefkzC1RTJdewwxEckAzBDUHIB+yYxktQ6Cf2f/X/yeXVdd9md/NNe50mvLb1/T/821/jkrTXI5bM7LoCpy26EactuhSs7WE4nI91dcedK3xxDTuWPNDqtEMgBG8B0P6JfMSFbLD94P3/X49VfZp+m/7+rrlr3Ye4d7xaHZf9n5leO+mctOp5/aIpfDZr8IqiO3Haohtx2q5Gy9qi8VrW+P4Uwz9VLRk4Wjmzpb7S3X/lC2MCnvDjE+lLnNnnHe0szxMvMByVXIDfR1tdvt3TKnJzshH5lR+I4H9EtmJKv+B+/7nun8U/tH7vd8aMHiZ9avLbni0Ac/8YOHqvjZe2RwQC6HzXkNVEVuO1RDbjtUydl6IhH5/pDLTjr3GGJ6c9MGZzGaKTG9ZF7WamldmhmKCFuTQ5ml9kxl5gHqM5rb81Dn0kyjzgWfPJ5ZOs9u6a7Ohr1XsvEdD+iXzEhW5aCL3ftv+TPnoKP3f+S6J92DjpSB1C5fvOLOoZKnlJvG3jgul8O0mCMuZjIZ+QSgVnFGXFy1apWcO5He2trn+1uOmDTvMcQ0PLBDLkQTJejAxWKpGtEDVni+p90JZLdlhpJ1IX5MF4Vsj9191bCYNJHtmWO9wbzOvpcTcbq5OUQyQL9kRjIh9ulkD7y48i8//l5rN9nywfb+tQ8oD92388aP2A+0tHz4+p29DyoPlZsmLyaoYujv75erEEFU0lwtGvU7dOiQbFLRRAaQcyfS6MFB399y2KR/jyGm5p9IJiTqXDKvEywsdI1kexbZjy3qyY7I+wDNGh3JJvKZ5XYzXp7Jz8ijFRVEMkC/xEayeNXV2tydN/y5U11d/qffuuc+3w/bQw/c/Bnn0ZYPdt52V5yfvX1HLSZBmXEX29raEl4lI0UGBwdlwwojHpXzJVWMYxf17zHE9OamDUZ+x0lUJIs+fHE8P3CvXSm3tvc8P8P7FtBIzYpkM/X8MRWRDNAvsZEsxtXJ1r56z+LPXm4faPTeq1auvOuEfwYx3b3lL+QI1++/+rP7H/Y9GjIl5IpkPplMRqQvZ0U8vb299I9Br0OHDgWPYFy2bFlix773KTsyUEP2GGIy9TtOwiJZ+OGLxVPIOjcdLTf4B1AnIlnzEMkA/RIbyQRR6PhKH3U6sXbprfLEj//duWJNWHUlpgdfu/P6+fZMLS1X3nbHPeV/9hb1nHzv5BHpSz20LLFX7MU0IGp92c4Sf7CiT5nTUBuxx3AmU5cxTFwkE7xzxpxjFHWcQjaZz/7wiR45qKPQ2tnzxI5sPvBq+Uyn9fDyTH7YGuNBzt/avmZPfvJkpnOOKKU7M8cLuV09ne4IDe33DhRfZ7KQezajvlHLwq6+zEBuVD4uuXW5qPsLuT3F2ReuGZBdg/4FbpnX2bNFvFC8VuIsqlP2j9qj+7kv1N7V98Ns3p9q46yaeJ3SJRIvlXk250/IauQQW0O890J7bkFsiu0h21wKvL7Y7F2PRK2ytX2KgxZac1qr5Z6nFZJ3xKJkthRXzeL7aLxDClVim5yUj9viNqQQbtjzsZa1cnuw+FchYvvINtzeky1Yi5spvpxY2Iz34ZeM+iheqi/QShuOSAbol+RIJgqdqDPKTjz4xZUfcUZH+8ANN698NTBDcXr4K9+6erY9Z8tlCzpf/G5gBmVq/jDW1XJWRJC3gcaQ7SyFLS20o6xBewwxNf8K0Z4kRjIRbLIPOcVi69KNTzzgnEJW86j33kGPQQu7MkdLKlpZzn7+gR55UputdWHf0Uk3t3z+gfvVx1oW9uXkYo0e7St5ROEby8EtwT9/b0/J4Hs39eXGrNX3LgkQEK+f0I1kDzyxa42XiBQlWUuotGqFl/tKwoyidWnfUbWU9yLZvZldoZu9NGbYJvODD0W9vszDck5b1Ac6r3Pjhq6QSDaef35D1PZUlqdiJKumIYWIEcnC24NQTZNwI9kDmSfWeFG8SKzvydHwV2v2WZqUIIB+SY5kQuho+EPr7/jWAufgoss+fv0XX6xwcNHal267Ro5t3fKRu+68LzCDnAyWVvHJ9SCSocFkO0thSwv+lNOgPYaY3traZ3A0oERGMsEbzMMRrMtj8tJdST+A0nlQmvRkOSuI+TN2F9B4Pjtgd4PInGNpX5OxX0q8znbZ7eDlMfWN1G4iNZWp1b9bzXuv5fYKtnY+tMfruBCPbnL6NJx8WJ6yqOryFF/Ed6pe2VUr5rGF1ivJ6l/pfCtJZaXBxn5ve63FZtzszl/a2+kdqlqcWVDmb5nfNXBG3q2EE6XPR53ZokYy96jX0o4gZVO0tK4ZGPW2RdSBi1U2pEheZFVTY9n2oOYxdRMp3VwlqazYhtX5RVPMyE3U/vnO9taSredF1uLvC81ACQLol/BIJtRy2ejqJ9/loRPL3vVa5G2gMWQ7S2dLq/qy0bVOZvvVkxrJisnEUuH60dHki4QOCuIOJaJW5F45W1KmO7zcoiYEaTLXZwevsOg4OTQgu6q8To9iCd7aNeClGYd78J03s+fMQJd9PGzlurkYsQIXcPOihRohyqzaWK7vJvuh0N6tPbIfprhISroIHmjqpc3iUk2ODqyxXyKki8bdqspWKuY3f5MoLkxJ3nE3WkgT8lZNXeuISFZtQ4pUIZIF28O7k0f7Ftrr5e/bFIrD3hSDerEN+7a/t6mDW8MbVqep40BSggD6JT+STV4cj325oRqnNzdtMHU2SLXsXbJF3gYaQ7az1La08meiapmMDHyvSm4kU6+oW2Mkc2vQqFpZFrtKRe6WsyGVsZdbQl7NLe6j3mh0oMteDrdu9krwkHTnRrKQh2LzFjX07LtgtIteNTcPhG0Qwavyg2kztNcoOH/ZnOluCy8guSEtdOMUI0cx7/i3fAnv1DPl6MTQSFZ9Q4pUPpKFvELZVRYCGzC6DXs/HAS3hrsp7DPQmoUSBNAv+ZFMuDgyHPsyZVVP4pWTfwqZx9rx2uRtoDFkO0tzS2toKkvCcc4pOXAx2NsThyyvI+KEIMvZYnksy9nQCt7NLcHwUCG3CL662SvBg11hXooQFnb1PRF7SA+Vu6j+o+8c7rsXA0bkqlXKA2XSZkR/i9zCcdJLccO6KxJc8lJuGinJO9HctasYyapvSJHcVQiPZMH2UCntB1Ou3Aj+gUks0RufSAZME6mIZEKDUlm68phg7Xht8jbQGLKdpbylNSiVnT36snwDo5I+vEfnvQ/IE5lqGN7DTRoVefV3mXK2TM7xelsiK3K30JdzlM8tIcNIWAP7ZWKO7CfIRY1aHnd5vQAQuWqVK3X/uodGDoWcP7zbyjKZz/4wY3ukeHqYXDB3M4Z2qQmVPwjl5YvjDVaMZNU3pEjlI1mwPfhaTgj/Z1Qm9MqHQj7Nyh90A1CCAPqlJZIJkxfHTz+1xVcb1TOJV0vL8Yoea8drk7eBxpDtLP0tLXSIoJqnNzdtMH68oieBkcy7Cplz3J3vppxJcgtWH1m/NjmShT7L4SvEy0cywRpMv3REeKlkzI9IMSOZV39XjGRlTjHyvVfMSFb6eCE3ELq2HrlgoXlJEfri0RvTlYZIVuaVfUErOncRyYDpL0WRzKGrwBo9OChfMVWsHa9N3gYaQ7azadHSxk/ltZyPevqpLYnqVE9cJCueQuaN9+CNPRA8fDFWJItKByHqimRl3shdTjlHxUjmGc9nd5T0FwnhZ4ipKqx4IGhFrlrlSt2/7jEjWXELq8Ny2Fqty21Zns2NHik9cNG3GQNCPohgl6N9OKgwkBuNe+Bi9Q0pUq2RLPq9/Z8RkQyYyVIXyYRLZwv1DMMonpuugxVV1o7XJm8DjSHb2XRpaZMXx995KVvzwc8i0SWnc8yTsEimDCWvDm1XzGlVHb7onsFVpofBp7ZIVvu5ZBUjmUId9DzyjRxyUSNmc989eC5ZYNVqP5eswule7gsqI+BvkmOyK9yg4C5YzBcv5hdlBPzNwcM+vQRXKZJV35AiuasQN5LVfC4ZkQyYkdIYyRwiVo0MDlRVY4n5x0/VvVs2ytrx2uRtoDFkO5teLc0JZlX1mJ1+aksCw5gjSZFMPYXMf0Hk4uGLVVzQNji+XykZpZTzmmqLZLWPuBjdKxJ+ulTMbOAuavjyyBdRAlvNaTO4hb1VC01xgaELfQmtlBsIiwtWNiJ6C+PlnfIRzhsEv2Ikq74hRao2klVMxb60TyQDZrb0RjLP2BvHRw8ORvWbifvFo2Ieg1d01cja8drkbaAxZDubpi3t4siwyGZi5xD6m47IbMMDO84efTnh55omJ5IVD2ALPzCvGNiqGBPfHb0wmPGU4yGVOrvGSObVzdVelyxYgnvVf1jydANS9FFsDndRQ66j5R3Ip75+jLRZw3XJIi8dpixVmUhW3G7KgkVfl0y9kF2cSKYcMBkWyXyRuNqGFKnqSOZ96FVel4xIBsxI0yCS+Yhia/xUPr2HJpZn7Xht8jbQGLKdzYyWNnlxXOw0UteFnpRIFuvQRG9k/NAr9oYqnkrU2tmT8Q6NKx4EWPpStUaykkMuu/oG5Agck/b7OLliXmffy+4blS/B3U1RssTqS1Us/b1IJszr7NmVc1LEZD67yV3rkuhYdtUKL/fJQS8XWmsmA8movQWdNV7ad9TrQlMimbUG3mAk4/nsZjm/Gi28vCFmfd5bIvHiW3vkm9qUAOP1l4a/uM2b3etna+3c8Lz3poHRRJSX91Kc87tAIZ93PrQqG1Kk6iOZ+OiPbpJLa7ct+S7FtxaLpARFIhkwk02/SDa9WTtem7wNNIZsZ7S0BEtGJPP6GcJ6mVTFnpD4hy+O5jJrnMo1YF7nQ4Mlb1d7JBO8VBak5jGhfAmuduAEhfRWBchFndO1YaMabCQRGjNusnJUWrViKgsoyWOCFznueGRj2NZoX5MpGTFSyRt+C7s2PTvwSPCI0OCIHY55nRs3dNnrrXx80R9Ke9em5/c8Ejgss3i0pE2JTtU0pEg1RDKhzFYqzWMCkQyYyYhk6WLteG3yNtAYsp3R0hIsAZGsqiMSazp8UTwtn/1hScfIvM6eLT8MjidRVyQTrPHWlQteWfVyzxPB64lVLMGdJd5S0lPU3tUX99JkbiQTZb94nYy34tZghiFrHWvVRnMDYs2KacVas5DXUiPHuP3e7iqI5Q97b8FaV3WjKWvq9on5j2wsfYrbMymDhe/jE4uxXVlyayNk5JK4vwX4Ip/a51a6TeI2pEi1RTJbQXwC6tib5dswkQyYkYhk6WLteG3yNtAYsp3R0hIsScN7QBclksl7miY0cjSLPOMrNFEjcfhiAPQjkqWL9X1pk7eBxpDtjJaWYESy6WjaRrLynTnuMYdxhtmAeXwxAPoRydLF+s6yydtAY8h2RktLMCLZdDR9e8nkoXdhY2l4IzRWc0QrDOKLAdCPSJYu1peWTd4GGkO2M1paghHJpqNpfOCiexku60wqdyRJ6xS+4siW1VxMHCbxxQDoRyRLF/t7yyJvA40h2xktLcGIZNPRtD6XrMzwjy0LuzJHmzc8BerDFwOgH5EsXeSXF4UyGky2M1paghHJpqNpP7yHf/jHiJEtkWh8MQD6EcnSRX6HUSijwWQ7o6UlGJEMgBF8MQD6EcnSRZbJFMpoMNnOaGkJRiQDYARfDIB+RLJ0kWUyhTIaTLYzWlqCEckAGMEXA6AfkSxdZJlMoYwGk+2MlpZgRDIARvDFAOhHJEsXWSZTKKPBZDujpSUYkQyAEXwxAPoRydJFlskUymgw2c5oaQlGJANgBF8MgH5EsnSRZTKFMhpMtjNaWoIRyUxozkjxMKLaKxAUsj3tVmPozOTlPTMFXwyAfkSydLH2/jZ5G0FTI6+/kK3CC6+PTMmnwiPbGS0twYhkYSYLuV09nXdk8g0KTNVGstHcnoc6lzasZC/k9vQsX5o5KW+mUYJWQVMkmwYfSiV8MQD6EcnSxdr72+RtBE1ke6xv1dj4tTuM3Di0tAQjkgW5f/3LkxHJGtyLItd2Tmd6q/9krYKOSDYNPpQY+GIA9COSpYu197fJ2wgikukgNw4tLcGIZEFEspRJdyQLQyQDUBsiWbqIPb1D3gYaQ7YzWlqCEcmCiGQpQyRLJ74YAP2IZOki9vQOeRtoDNnOaGkJRiQLIpKlDJEsnfhiAPQjkqWL2NM75G2gMWQ7o6UlWOIi2WQ++8MtPZ3zZNNpmdfZs3UgNyofLTGaG/jhEz2drXLOlpb2rr7Ms7nCpHxcUvPPZCH3bKavy444Qmt71yOZgVxBzvnuu/lMp3xIIbOQU2qLKvm4PfiHu4Tt9w7kx+0nC/brlyzTQrFMgeWPGcnc2Ur4yvSY7xhKhodSviAa2MjBjWZxF1VsK2tcCm/+hWsGhtzPYzyf3d7XtVA+Yi3n9mx+3A3A7T3Z0pd02oL63q2dPU/sEE+RD1virEIE69Uf6WqXry5eO5PNT4YEYPctQiOxbDDqh6JEssBbPPFD6z1K+d6xjjVKG74YAP2IZOkid/IUymgw2c5oaQmWpEgm0kXGq19LqZW9rfByXzG2lWpd2ndUDSRe/rk3s+teN4ypWtt7npdpIEYk+/wD9y9Vl3FhX04u2ejRvpJHFPM6+15WAoeuSBb/HUNVqP4n84MPRW1ksdHW7FHShbuon7+3Z6n6lJv6cmPW45NDA2u8MKZoXbrxkTvshfBFsvH8QOiHJSzsyhx1Z60xwEzm96wJaWliow0O6IpkXRs2hm291s4Nz5ekSiIZAH2IZOkid/IUymW4v9zGVddBKtOW3Di0tARLTiSbHMrIeNHa2bPH6YRxBqN36tpFPdkRe0Y1jy3s6htwu8VGcwN9MtGVpLKSYNPa+dAe2YOkJkDlxYt//b46WKmV29dk7BeZzGe3y24PLx21tlvL5L2FWCYniqgZKWYkc0QduFjVO0aLOkZu8njGCVf2q7uvM57PbnY32vyugTPy7pKN7Eam4tbxFnWe3RdlBxLx6Cavu1JQI9lkIfuQ/ZC6atYzMrLPbN7SzHElD1Z5mF/h+R7ZTkJbmq3uSGYTy785uL6tSzPKDwxhn2+1a5ROfDEA+hHJ0sXa+9vkbQQRyXSQG2c6trTJi+Njbxx/56Xs8MCOt3+UOf3Ull99r0f8K/4vJnG/eFTMI+dOsMREspFszyK7sZSkI8voQJdTP3cN2LX5WK7vJnvOQNeZVfe6vR/FzqtiWigthS1uDmxd2HfUe6RSJFOjiDSZ67NjkK/vyFbsIHK7jHREsirfMVp49T85OrDG3o6Bj6P41t4nIigbuXin5G3kYm+kpHaFKZFMRqbg/ML4UOY2+8XWDIy6q11dgHFfIbhqXgoVNESy4EfjRU21CRHJAOhDJEsXa+9vk7cRxKWidZDtbHq1tHPHciKGiQAWZxIhTcyf5GyWlEjmz10qt2Z1qvDJo30L7Zo8ZE7ByxKB/BMWpUJfrUIkU8OA5KbEkIdscu284Fd/JKv2HaOFV/9nBrrmW69fTLYKdwMpi1RmI5dfVPeNipHM/QSjVk1+ZMobVRVgyrYfL21qiGRl11d5dyIZAH2IZOli7f1t8jbQGLKdTZeWJsLVW1v7fKErzvTmpg3vvJRNZjBLSCRzi/zKNahbNIflK0dU/gk/ISek4HYXJiKSBVNKhZQo+BJO3ZGs6neMVkP17767skjeRg72y8ntFrGo3hO9SCbXt+KqFTdeVasgm0dE+wlZtRojWYX1LQY2IhkAfYhk6WLt/W3yNtAYsp2lv6WNn8o7hybWM4k4N/bGcfmKiZGMSOZ1bfnGeAjh5qXoOd053JI9WASrqo9kwdLc/45Bbtkt56g7klX9jtHkS1Wq/ifz2R9mbMUhBJVF8pJVIPfK14/sr3NXxftA3e1ckffuMVfB5kb6qPbjRtniqtUYyaI2vLu+3oYikgHQh0iWIrlcztr728T/z58/Lx8AtBK1vmxndksbHh6WD6TNOy9lfeGqnmlkcCBR3WXJiGTBrpJIgYo2yFcTl88/IQV3xFtEl+aVC2jfMuiKZPHfMVqZlyrkBkrHv/crLpL3CUZFsshFdbd2kyJZ4O18gls7+nMXiGR1IJIB+hHJEk5UXf39/cuWLbP2+wEdHR3iUTGPnBuolUj4u3fvXrVqlWxbpdra2np7ew8dOiTnTgORoHyZqv7p9FNbkpPKUhvJoud053Br4vLhRGMkKxN/fH1WuiJZ/HeMJl/KX/0Hhom3L0dmeTY3eiT6wMWoSBa5IO7j/kgWa9s4IlYhVKVeMiJZ8xDJAP2IZImVy+Wi6uMgMaeYXz4TqIYIYyJuyZZUSUdHx+DgoHxmUonUVP/BilFTclJZMiJZsW4Pr0Fl4Wsd/DZR87lk4TWyjkg2/c4lU0bA3xS8uLG7gZRFio5k7naLfS5Z8NDBSqoKMLJ5RM0c/JSjP/diwFNfrfz6Bgc7IZIB0IdIlkCiRO7v77d29Iq2tjY1oYn/i3vkDZd4FkczoioiXwUbktorK1qaiGHyhkvMkOS+2Ub0j6lTQlJZQiKZWyiHFrKlgyhWSCPRIy42LpJNvxEXZQYOz71hwxKWiWS1jrgYNYK/bADKqlUXYOQ7hrcftx0qq1bmc/cWNSSSha+vm3WVdyeSAdCHSJY0IlP5DlPs7e31esDkXe6gC6ImE4+qJXXCa2Ukiq9zTKQvkdCcVC/vclva8PBwJpNRs5lodck8jjHG+WP3/OC6K+VqfPATP3hobWCG4jT07dtWf+Qye9bZCxd/6b83yvuHB3bI9zMnKZGszHXJvAv7yg4ft8Sv9rpkVUcyXyQoU5p7KaWR1yUr7e+q8h2jybUtDW9lIlnxxdVNUSaSlbkumXedLkE5ktDL552bjsrrgHu8q4opqxa6CpG8HBVsP14jVFfN3f6tt2WGSn9D8VpmaCQLuVS3dx02tZGXiWQx1yitiGSAfkSyRPHlse7ubt/ICvKB0nHwxDxiTvmAXSuTylCRmsdEq/Md+CofCIy4KIKZ+hNA0g5iHD+V99JU9PTga3de7/y839Jy+eIVdw75Z3CnDV9Zv+B37dku+/j1X3zx4ZJHzx59Wb6rIYmJZEqaau3s2ZOTPSb55zd1OQFAqWILL/d1Opf0XdjVN5CTVftobqBPDgbYurTvqNcFUnUkcwPJvKWZ45MiNuRP2QtTLpKJdz/aZ+cO65wrsUzOu08WrGVyll8t0KuKZO7MMhIU8nnnZap6xzLkesnraBdO5cX29MaCb+186Hkv8YktvLVHbnlbcfnLRTIlR83r7NklP6/JfHZTl5vHBPXkruIlpEVbyHhHTtrr5sSj0nQXtgplFFPlwq5NcvWUlmYrfsrF3Cg2xh65ncfz2Yy1KRa02y0uNJIJyvqqC1+SokN7Qatco3QikgH6EcmSw5fHQotd+VjY0OTqEWjidTiCEWWoeUz8P9ha5GNhLU0kAbWhJir/x7342HfvfHTB5XIF5nT8+DuBGcT08F2PX3/V+6053vOhBTc/V5rHxPTmpg2XzsYomxsmOZHMjhOZ4gDrJQIdGsVUFlCSx4TqI5kXSBzyiWFzlvAyUpAvHVUVyZQDBW3Kk+K/Yxler6PDiUaThaObIsZaFDHm2YFHfMcilo9k4vWUvjVV69KNj9xhb1bfE0dzmTVOEAqY1/nQYGnHYOgqlBWxPCJ0PdK1wPpfyaes9J6p2tdkjuwJHGEo28mcB7Zsdc7HKxHs1QyNZNWvUQoRyQD9iGTJoVbJUZ0P8uGwQlkQJZqXyrq7u+W9QKlDhw45jUQQrU7eW0o+HNHS1J8PRJNLSP6vZsh7taPsytvuuCfQUXbfMzf/sXPA4mV/8tfPrA8/uHFkcEC+twlJimQ26/pXW5SumIVdfduz+dCT7kZzAxm3R8jS2tnzxA9DBqOoOpJZS6H2mThpoWIkE0SqfFYsUzFLWMu0I7D81UUyu09mc9jVwISY71hWSYdVMV1YH4X6yu1dfRn5yu6xiN6RjZUimUWsxXbl85I9nO5hoiFPtBagZBT+eZ09W0I+YSFiFcoqXR7ZHxcakITAzE88a3V/yaUPi2Tis7VWwLuMmzVkZdjCR7xjLWuUMkQyQD8iWULklGuOlTkYTM4RUSgLarWdriHL0RwiPnm5PSqPCc4MgrwdMDw8HOd1mmby4vibmzb4IlO56eGvfOvq2c7yX7ag88Xvqo8+8LMV13zIfuj9H/nLxx98QHnIPxnsKEtcJMPM4p3ZVSbLNVNUJIN+RDJAPyJZQnijKZbv3XLmEeTtMN5ojR0dHfIuwJXJZLzmUaZ3y5lHkLfDqPnf+OWkzx3L+cJSpWntkTs+8fty8f/gn77W7d3/36sXffy99t2XX/PoA+XymJgMdpQRydBgbsgJ7xJ0j9CrOFh/kxDJmodIBuhHJEsCr4us4jFgzmyCvB1G7Qahowyq+G3DmUeQtyN4PyUY7yir5UJkD//DA3/wO/biv+f3r1t+xLpz7av3LP7s5e+x7rv8T791z32RI3+405ubNsglaDoiGRrMO6YxMJamdXSeM6ZLcDBGU4hkzUMkA/QjkiWBdxZZf3+/vCuCM5sgb0fwekI4owyqwcFBp2EsW7ZM3hXBmU2QtyOovybIu0y4dLbgS0rxpm+8uOJjzgljLb/9sUfXfuPEg19c6Qx5/96rVq6864R//vBp7I3jcjmai0iGhvMu9tVaHEvTPhWwzx0hMzC+vDFEsuYhkgH6EcmSwOu4qHj0lzObIG9HEK8j56s0J2YUL/zv3r1b3hXBmU2Qt6N543z4htFvprNHX/bFpLhT79/f9eH32Yv/vraOv+7+kw/Y//+9W2+7M2YeE9PoQTNXAiCSofHKjN9oj1soR5ZPAiJZ81BYAPoRyYwTdZX95Rbr1C9nTkHejpaEQhlJ413rWVf4F7wuWfEfeVfTDQ/s8MWk2NMDz93yx/ZI957f/WznHa/6Zys3nX5qi1yO5iKSoUkKuYGMN/ygxRq2MHz8RIOIZM1DJAP0I5IZ5x36FedsHGdOQd6O5g3yUWb8Rsw0TpOIc5ChM6cgb0fzBvkweJRsLSeSudPQQ8tv+6B98pjlso9fv+LnJaMvxprkcjQXkQyAEUQyQD8iWRmySEOV5OZDNeS2QzXktnv3XV9AqmoaWvd3q+Wxiy0t7/0/Gx/4hm+GOJORofCJZACM4Gse0I9IVoas0lAluflQDbntUA257eqIZEPr7/jWgt+VL2d53/wb//61wGwVp/FTBg6VIpIBMIKveUA/IlkZskhDleTmQzXktkM15LarOZI9fGf/X/ye/UqX/dkfzXWuDd3y29f0f3Otf85KE5EMwMzB1zygH5HMOO9UnIoj4AvOnIK8HS0Jgy4gaZwmoXcgGe9kyFWrVsm7ms4XkGJND9/1+PVX2QN7vO/q65a92HuHe42y2X/Z+ZXjvpkrTUQyADMHkQzQj0hmXFUVrTOnIG9H867hy4iL8HiXWyh/RXLBmU2Qt6Pt3r3bmdNg+PcFpBjTfc90/qndLfaeDy1Y/Mz6tSXXKPvgJ37wUHUdZUQyADMHkQzQj0iWBE4dKGgslOV8MV4TM4cX1A8dOiTviuDMJsjb0bq7u505DY7t6QtIlabu/bf8mXOY4vs/ct2T7mGKytCLly9ecedQyVMqTEQyADMHkQzQj0iWBPGLWmc2Qd6OIF7HmW3ZsmXyLkDp0ao4YL0zmyBvRxCBX85nNPy/tbXPl5GipwdeXPmXH3+vvcQfbO9f+4Dy0H07b/yI/UBLy4ev39n7oPJQhUkuR3MRyQAYQSQD9COSJYGXoCqe5OPMJsjbEbzOEFGCy7uAd98dHh52GoZQ/mrRcqZKLc07ZdHgRcmEt3+U8WWkiGlt7s4b/tzJY5f/6bfuuc/XFTb0wM2fcR5t+WDnbXfF7CgTgVAuR3MRyQAYQSQD9COSJcH58+e9k3zKhyhnHkHeDuMFPPGaHLUIH69LtnyIcuYR5O0wItR57dbsKYvvvJT1xaSwae2r9yz+7OX2oYnvvWrlyrtO+GcQ091b/kKOif/+qz+7/2Hfo+HT8MAOuRzNRSQDYASRDNCPSJYQXm+DqHFFpSXvDXDmEeTtALVKZqxFBInW5TQPocyBsnKOspHM64yNMzJNQ42fyvtiUnA6sXbprfJUsf/duWJNWB4T04Ov3Xn9fHumlpYrb7vjnjgdZeeOmYmjRDIARhDJAP2IZMmxbNkypxIU/4nq3XJmEOTtUuJZ3ot0dHTQRYZQ/f39TiMRovK/fDg6kvX29so5ol+kmd7ctMGXlNTpxINfXPkRZzzFD9xw88pXAzMUp4e/8q2rZ9tztly2oPPF7wZmCEyXzhbkQjQXkQyAEUQyQD8iWXKIAsvr4BLJKvRUH+dRQd5WqHlMSEKVjGRSm4pocqGjLzqPCvJ2KTWPJeR8xdGDg76k5E1D6+/41gLncMTLPn79F1+scDji2pduu0aOht/ykbvuvC8wQ8lk6qhFgUgGwAgiGaAfkSxRvMtGC6G1snwsUCiLOb04J1QcuREznEhlaoPJZDK+PlX5QKCliRigJn+RzeQDpl06W/CFpeZMY28cl0vQdEQyAEYQyQD9iGRJI9KUWiuvWrVKDWbyXqVQzuVy3ik9DvIY4vCFq46ODtFyvGAm71Va2vDwsNo5JiQnjzlGBgd8eanR0+mntsj3NoFIBsAIIhmgH5EsgUSlJepjWfbaREgT5a93USlB/F/c45tN3BTPla8CVCICmC/PC93d3d5gM4LIaf39/Wp4cyTw+grN7ygzcoVoD5EMgBFEMkA/IlkyiVpZLYvjEHWz79gzIA4RunzZvjyR4spf08ygeKPh65kMnkXmIJIBMIJIBuhHJEsyJ5iVL5fFo2KexJbISAsRzIJdYSqnq9bs9cfiOP3UFl92asT01ta+yYvj8i0NIZIBMIJIBuhHJEsFkbhExaz2m4n/i3s4TBF6nT9//tChQ76Wtnv37uQnMY9ISuUHxK9/Eq9/ccT8jyBEMgBGEMkA/YhkAKYZkZcamsoMjrKoIpIBMIJIBuhHJAMw/TQolYnXPHcsKR2GRDIARhDJAP2IZACmpUtnC3rPK0vI8YoeIhkAI4hkgH5EMgDT1eTF8dGDg75kVds0PLDD+HgePkQyAEYQyQD9iGQAprfxU/m3f5TxRaz401tb+xJy8pgPkQyAEUQyQD8iGYCZQASz4YEdvrhVfhJBLjlnjgURyQAYQSQD9COSAZg5Ji+Oi5QlstlbW/t8AcyZ3ty0QTx69ujLl84W5HOSikgGwAgiGaAfkQzAjHVxZHj8VN6b5L0pQSQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSJYWw8PDu3fvzrhENSYfALQ6f/784OCgbGeZzKFDh+QDSBgiGQAjiGSAfkSy5BMlcn9/f0vAqlWrCGbQS8T+trY22cJcHR0dBLMEIpIBMIJIBuhHJEs4kceWLVsmS+MAUT2TyqBLb2+vbFhhBgcH5XxIBiIZACOIZIB+RLKE6+7ulhVxBJHKRGyTcwO12r17t2xS0XK5nJwbCUAkA2AEkQzQj0iWZKLkkrVwWZlMRj4BqFXweMWgVatWybmRAEQyAEYQyQD9iGRJFnoKWVBHR4d8AlCTXC4nG1Mlw8PD8jkwjUgGwAgiGaAfkSzJVq1aJQvhSuQTgJpkMhnZkirh2MXkIJIBMIKaA9CPSFaRLEVRDbntUA257VAluflmHiIZACP4jgf0I5JVJOs+VENuO1RDbjtUSW6+mYdIBsAIvuMB/YhkFcm6D9WQ2w7VkNsOVZKbb+YhkgEwgu94QD8iWZKdP38+zjh4XDAK9Ytz4mJvb6+cGwlAJANgBJEM0I9IlnAVrxa1bNkyOStQB1HfyyYVoa2tjeEWE4VIBsAIIhmgH5Es+coMhS/yGNeJhi6Dg4NRvbLifhEA5HxIBiIZACOIZIB+RLJUyOVyIn3J6tjW0dHBFaKh3fDwcG9vr2xkLnEPyT+BiGQAjCCSAfoRyVJElMuyRmb8DDSSCGCyndHSEoxIBsAIvhgA/Yhk6SLLZAplNJhsZ7S0BCOSATCCLwZAPyJZusgymUIZDSbbGS0twYhkAIzgiwHQj0iWLrJMplBGg8l2RktLMCIZACP4YgD0I5KliyyTKZTRYLKd0dISjEgGwAi+GAD9iGTpIstkCmU0mGxntLQEI5IBMIIvBkA/Ilm6yDKZQhkNJtsZLS3BiGQAjOCLAdCPSJYuskymUEaDyXZGS0swIhkAI/hiAPQjkqWLLJMplNFgsp3R0hKMSAbACL4YAP2IZOkiy2QKZTSYbGe0tAQjkgEwgi8GQD8iWbrIMplCGQ0m2xktLcGIZACM4IsB0I9Ili6yTKZQRoPJdkZLSzAiGQAj+GIA9COSpYsskymU0WCyndHSEoxIBsAIvhgA/Yhk6SLLZAplNJhsZ7S0BCOSATCCLwZAPyJZusgymUIZDSbbGS0twYhkAIzgiwHQj0iWLrJMplBGg8l2RktLMCIZACP4YgD0I5KliyyTKZTRYLKd0dISjEgGwAi+GAD9iGTpIstkCmU0mGxntLQEI5IBMIIvBkA/Ilm6yDKZQhkNJtsZLS3BiGQAjOCLAdCPSJYuskymUEaDyXZGS0swIhkAI/hiAPQjkqWLLJMplNFgsp3R0hKMSAbACL4YAP2IZOkiy2QKZTSYbGe0tAQjkgEwgi8GQD8iWbrIMplCGQ0m2xktLcGIZACM4IsB0I9Ili6yTKZQRoPJdkZLSzAiGQAj+GIA9COSpYsskymU0WCyndHSEoxIBsAIvhgA/Yhk6SLLZAplNJhsZ7S0BCOSATCCLwZAPyJZusgymUIZDSbbGS0twYhkAIzgiwHQj0iWLrJMplBGg8l2RktLMCIZACP4YgD0I5KliyyTKZTLmBp5/YVsFV54fWRKPhUe2c5oaQlGJANgBF8MgH5EsnSRZTKFchkT2Z45civFMqcnOyGfCo/cOLS0BCOSATCCLwZAPyJZusgymUK5DCKZDnLj0NISjEgGwAi+GAD9iGTpIstkCmU0mGxntLQEI5IBMIIvBkA/Ilm6yDKZQhkNJtsZLS3BiGQAjOCLAdCPSJYuskymUEaDyXZGS0swIhkAI/hiAPSbBpHs4sjwOy9l3/5R5q2tfb/6Xo86iXvE/eLR8VN5OXfKyTKZQhkNJtvZdGxpzh5jeGDH6ae2pHqPQSQDYAQlCKBfeiPZpbOF0YODwRgWNb25aYOYXzxLPj+dZJlMJCuD4T10kBtnGrU08bcvslZVe4yRwYEk7zGIZACMoAQB9EtjJBNFkiiVfPVT/CnhZVZ5skwmkpVBJNNBbpxp0dImL45Pyz0GkQyAEZQggH6pi2Rnj7785qYNvpqp2km8wjsvZeUrpoosk4lkZXCpaB1kO0t/S9OyxxBTAvcYRDIARlCCAPqlKJJNXhwfHtjhq5Pqmd7+UUa8pnz1lJBlMpEMDSbbWZpbWp2dY8Hp9FNbErXHIJIBMIISBNAvLZFMVELBc/Hrn97a2ndxZFi+RxrIMplIhgaT7Sy1La1Be4w3N21Izh6DSAbACEoQQL9URLIGVVfOlKgaq4xcLrd7925ZJre0iP+Le86fPy8fBjQRhf7g4KBsZy0tmUxGtLTh4TT9cjFD9hhEMgBGEMkA/ZIfyRpaXTnTW1v7xLvI90sYURx3d3fL6jjMsmXLxDxkM9RJ5K7e3t62tjbZsAI6OjpEPEt+NmvCHkOksiTsMYhkAIwgkgH6JT+S6T1/LGp6+0cZ+X6JIYJWmfrYR8y5e/du+UygGiKMrVq1SrakGERyS/JPAHrPH4uaROqT72cOkQyAEUQyQL+ER7KzR1/2VUKNm5Izotrw8HCwRBb3ZDIZecM+nCw4z7Jly0SVJl8FiKG/v1+2HpdoRSJ0yRt2S+vu7vb9OiBuHjp0SL5Ekoy9cdz3d924yfgeg0gGwAgiGaBfkiPZ5MXxeKNX3/OD666UpeIHP/GDh9YGZihOQ9++bfVHLrNnnb1w8Zf+e2PJo0m4+pAos9Tyt6OjQz0uUd7rDrog7hePinnkvXatTCpDHKLxiPQl243dckQ8845LlPcqw3uIDOb7FUCkNflYMjR/j2H2pDIiGQAjiGSAfkmOZLEPQHrwtTuvn28XTS0tly9eceeQfwZ32vCV9Qt+157tso9f/8UXH/bPIN5RvrchvjwWLHnlA4Fx8Hbv3u09kVSGinx5rLu723csonwg0NJyuZz6E0CiUtnowUHfX3TEpG2PYfaAZyIZACOIZIB+iY1kl84WfNVPuem7dz664HK7cmppmdPx4+8EZhDTw3c9fv1V77fmeM+HFtz8XKC6ciaDHWXDw8MVY5XzqCBvK9Q4RypDeWp/1+DgoLxXIR8La2kivFV8evNNXhz3/S2Xm/TtMcZP5eUSNB2RDIARRDJAv8RGstg/eDuT+rP3lbfdcU/gZ+/7nrn5j53Djy77k79+Zn3koUoGO8q8MrdMoHJmEOTtUmqoW7ZsmbwXKJVRTkqMClTy4YiWJngDgYoml4RhGN95Kev7Wy47TYc9BpEMgBFEMkC/xEayt7b2+UqfCtPDX/nW1bPtCqrlsgWdL35XffSBn6245kP2Q+//yF8+/uADykP+6c1NG+QSNJeojO0FtJTp4JJzRBfK4rleKmMMRgSJ+OQ0D6HMYYdyjuiWph76uGrVKnmvOab2GGIyNSA+kQyAEUQyQL9kRrLxU3lf0RNjWnvkjk/8vl1FtbT8wT99rdu7/79XL/r4e+27L7/m0QcqVFdiGnvjuFyOJvLOzyl/co4zjyBvh/GuKC2yme8EIcAbTbF8jnLmEeTtMCISyJlaWnK5nLzXhIsjw76/4hiTtj3GuWNm1p1IBsAIIhmgXzIjWZXHILnTw//wwB/8jl1Jvef3r1t+xLpz7av3LP7s5e+xq6s//dY990Wex69MowebfW6M10Umgln5EOXMJsjbEbyAl5DzfJAQonU5DUMoH6LkTJVamhfwuru75V0m1Hi1DE17DFPHLhLJABhBJAP0S2Yke/tHGV/RE2/6xosrPuac/tHy2x97dO03Tjz4xZXOANbvvWrlyrtO+OcPn5p/EVjvtJyKhxo6swnydgQv4yXhiDIkh9eDWrFhOLMJ8nYE9TBIg12ytV5QXs8e462tfXI5motIBsAIIhmgXzIjWbyLC4VNvX9/14ffZ1dY72vr+OvuP/mA/f/fu/W2O2NWV84kl6NZ7IW0VBwmQc5XqVBWO0M4dhEeL/xX7D51ZhPk7WjeGWUGLx5d9Ylk3pTOPYaDSAbACCIZoF8yI5mv3KlmeuC5W/7YHrfa87uf7bzjVf9sFaZmnq/vnZATZ4xEZ05B3o7mjd9o9iQfJIo39EvFoO7MJsjb0bzxGw1eo8z391vNpGePYeSa0UQyAEYQyQD9EhjJqrsiWWAaemj5bR+0TwWxXPbx61f8vGQstVhTM681dOjQIWdZe3t75V3RnDkFeTuaVygz7iI8TpPo6OiQt6M5cwrydjSR+Z05DR4l6/v7rWpK3R7DQyQDYASRDNAvgZGspuEWi9PQur9bLY9Eaml57//Z+MA3fDPEmZwCS74IquR8jqiK3Haohtx2dUYyfXuMJiOSATCCr3lAv2kWyYbW3/GtBb8rqyvL++bf+PevBWarOBHJ6uF8jqiK3Haohtx2dUQyvXuMJiOSATCCr3lAv2l14OLDd/b/xe/ZddVlf/ZHc50rvbb89jX931zrn7PSRCSrh/M5oipy26EactvVHMl07zGajEgGwAi+5gH9ps/wHg/f9fj1V9mn6b/v6uuWvdh7h3vFodl/2fmV476ZK03NHN7DOxWHc8nQaE6TaGtrk7ejOXMK8nY0rwEbvDSZ7+831qR1j8HwHgBmDiIZoF8yI1n1g+Df90znn9o/cr/nQwsWP7N+bckVhz74iR88VN3P3nI5mkLUVc5iMuIiGs0bcVHX5RaEJIy4WP0g+CneY3iIZACMIJIB+iUzklV5qeju/bf8mXPQ0fs/ct2T7kFHykBqly9ecedQyVPKTc2/VLT2Qlm9Lpm8C5i+1yWr8lLRmvcYXCoawIxCYQHol8xI9s5LWV/REz098OLKv/z4e+066oPt/WsfUB66b+eNH7EfaGn58PU7ex9UHio3jR6sUK1q5xXKFfsZnNkEeTvC7t27ndkMHkuGBBJJzGkYFQesd2YT5O0Iw8PDcj6jFyU/e/Rl319x9KR/jzEyOCCXo7mIZACMIJIB+iUzksUedHFt7s4b/typri7/02/dc5/vh+2hB27+jPNoywc7b7sr5s/eY28cl8vRLN6lydra2srXtc5sgrwdoaOjw5mtYmcIZhS1+7T8Ea1ypkotrbe315ktzpmQjXNxZNj3VxwxNWSPce6YmWODiWQAjCCSAfolM5IJMU4nW/vqPYs/e7l9oNF7r1q58q4T/hnEdPeWv5AjXL//6s/uf9j3aMgk3lcuQXN5Iaq/v1/eFcaZR5C3w3jn9sS5IjBmGi9ElT930ZlHkLfDeAN7CMZPWYxxOllD9hhiauZoQCoiGQAjiGSAfomNZKMHB311j286sXbprfLEj//duWJNWHUlpgdfu/P6+fZMLS1X3nbHPRV/9jZ1DJLXUSaUqW7lHNGFsqjS5Bx0kSHM8PCwd+5imfzvzCDI2wHnz5/3fkdIwvGxFY92nmZ7DIFIBsAIIhmgX2IjWfmrk5148IsrP+KMjvaBG25e+WpghuL08Fe+dfVse86WyxZ0vvjdwAylk3hfuQRN542RKCpmUWzJe0s5MwjydinxLK/arniyEGYs71RDISq3y4cjWprIY96oHqLJVRyWpgkmL477/pbVqXF7DCNXJHMQyQAYQSQD9EtsJBNGBgd81Y8zDa2/41sLnIOLLvv49V98scLBRWtfuu0aObZ1y0fuuvO+wAzFyeAP3oLa7SDK3NC+MudRQd5WqHksIVUyEssbUUYIHVRGPhbW0tQ8JhgcaNEnqmu9cXuMt39kbNx/gUgGwAgiGaBfkiPZpbOF6i9QVtdksIvMocYqob+/X5S/8jGbfKC0UBbzeOePCeIVxOvIx4Awvli1atUqX4aXDwQimQhgahNN1MGxkxfHm7zHMHKFaA+RDIARRDJAvyRHMqGasa3rnd55KSvf1ShfKhP/F3HLK5flvW6hLO4Xj3p9awJ5DDGJVOYdK+vo7e31Go+8y21pYmaRvnzzJ/BkxbE3jvv+rhs3Gd9jEMkAGEEkA/RLeCQTqrwIbI2T2QOQfIK1srBs2TJvrDxB/F/t5XCIZ4nnylcBYlD7Vx0i4auHNfb39wdbo5jH+BCLUaIOeNY7Nf+C8kFEMgBGEMkA/ZIfySYvjovqx1cP6Z3e2tpnahjrMg4dOqR2f5Un5mR8RdRGVPbB0BXF6bZNcvJvwh7jzU0bkrDHIJIBMIJIBuiX/EgmNLTGEtWV2RNCyhPBrLu7Wz2UUSXuF48SxlA/Ud/39/eX+RVg2bJlu3fvTkU37AzZYxDJABhBJAP0S0UkExpUY721tS/JeUwlyi/1yrwiqol75GOAPsPDw2pLE4E/sccoltGgPUaifsEhkgEwgkgG6JeWSCaIGkvveWVv/ygjXlO+OoDpRfseQ2S8RO0xiGQAjCCSAfqlKJI5zh59Wcs41wkZXxFAQ03jPQaRDIARRDJAv9RFMuHS2UI9g6qJ5xq//hiAppm8OF7PHmN4YEcy9xhEMgBGEMkA/dIYyRyiSBo9OBj/928xJ2EMmLGcPcZbW/t8e4aoKfl7DCIZACOIZIB+6Y1knosjw++8lH37R5lgsSXuEfeLR8dP5eXcAGa2abPHIJIBMIJIBug3DSIZAMxARDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2IZACQRkQyAEYQyQD9iGQAkEZEMgBGEMkA/YhkAJBGRDIARhDJAP2mQSQbLlw8eGz06UNnHnvurbU7T6qTuEfcLx4V88i5Acx4hbFLufzZva8Mbzt4yrfTWL93SNw5mBs5fvr8+MSkfEIiEckAGEEkA/RLbyQTRZXIWo/uy/sqqqhJzCnKLPEs+XwAM49IYsEYVmZ6+tCZ/MgF+eSEIZIBMIJIBuiXxkg2PjG595VhX+UUfxLPJZgBM40IY/F/wfFN4okJDGZEMgBGEMkA/VIXyX5+srB+75CvYKp2Eq8gXke+IoBpbbhwMXhUcw3T04fOJOpQRiIZACOIZIB+KYpkohgSJZGvSKpn2nbwVMLPFQFQp1z+rO8Pv55p/d6h5HSXEckAGEEkA/RLSyQT2UnL79y+SbwmI38A01U9RziXmUTMk29gFJEMgBFEMkC/VESyBuUxZ1q/d4hUBkw/DcpjzpSEVEYkA2AEkQzQL/mRrKF5zJnE63MEIzCdHDw26vsz1z4dP31evpkhRDIARhDJAP2SH8n0nj8WNW07eEq+H4CUE2HJ9wfeiMl4BzuRDIARRDJAv4RHsp+fLPjKoMZNB4+NyncFkFrjE5P1D8oac3rsubfku5pAJANgBJEM0C/Jkaya0ur4Pfd/8X0tVfmj9m8cVl9EvBfXKwPSLl6/uoY9hjMZ/CmHSAbACCIZoF+SI1k1Z+f/z5dXtMvCKa6/Wvyvr/leR7yjfG8AKZQfueD7o46Y9OwxxLR+75CpM1GJZACMIJIB+iU2khXGLvlKn7LTS1/6yj2f/pt/rDB13vzh35Ll1Xv++Ot3bPe9iDXRUQak17aDp3x/0RGTtj2GmEx1lBHJABhBJAP0S2wk0z9g2tPP33rzte9xqqurv3LrlpAfvMVERxmQUlX+jlNpirfHENP6vUNyCZqLSAbACCIZoF9iI9mj+/K+uqeuKfHVFYA6DeZGfH/OtU+x9xjOZOQyZUQyAEYQyQD9khnJhgsXfRVPXVOV1ZXxyw0BqIG233Gq3GOI6elDZ+RCNBGRDIARRDJAv2RGMp1HLVZfXQ3mRuRyJMz58+dzNlGKybuAxnBamiBvJ562oxar32OIyUjvOpEMgBFEMkC/ZEay2OfoV5pqqq4SeNloURmvWrXKXg+po6Mjk8nIhwFNhoeHe3t7ZSOztbW1iXvOn09613Euf9b3h1zLVNMew5maf9loIhkAI4hkgH7JjGTrtVzptY7qSi5HMvT399srEWLZsmXJr5WRFoODgyKAybZVStyf8L5ZDV3rdewxxNT8A56JZACMIJIB+iUzkvlqnVqm+qorUxcaCtq9e7e9EpFWrVolZwXqIOp72aQiiFQ2PJzc8Ujr7Vqvb48hpuYPhU8kA2AEkQzQL4GRTMM5IXVXV/mRC3JpjDp//nxUr4VqcHBQPgGole/I2FC9vb1y7uSpK5LVvccQE5EMwAxBJAP0S2AkE3HIV+tUN+morhISySp2kTmWLVsmnwDUpGIXmSexB8rWHsl07DHERCQDMEMQyQD9plsk01RdJSSSxem4cMgnADWJGf6FxI7BWGMk07THEBORDMAMQc0B6DetDlzUV12pkcx+PVRHbjtUQ247VMnZerVEMn17DDERyQDMEHzHA/pNn+E9tFZXIhbKRaFQroncdqiG3HaokrP1qo5kWvcYYiKSAZgh+I4H9EtmJKt6EHzd1ZVcDpv9qqiO3Haohtx2qJKz9UQi8v0Vl5t07zHExCD4AGYIvuMB/ZIZyar7wVt3dfXYc2/J5TBNlFz2alXANaNRvzhjeyZ5IJkqLhXdgDwmJi4VDWCGIJIB+iUzklXxg3cDqqvB3IhcjgTo7u62Vy6SqKS5WjTqF2eEj8SO7SHEPQe1MXls/d4huRxNRCQDYASRDNAvmZEs7qCLjamumn8AUhkibi1btsxexRAij4myTM4K1Ke3t1c2rDDJv/zdo/vyvr9l/9SYPYaYnj50Ri5EExHJABhBJAP0S2YkEyqfTjaNfu0uT6Sy/v5+e0VLrFq1ijwGvXbv3h08grGjo+PQoUNyjgQbzI34/pxLpoblMTHl8mflQjQRkQyAEUQyQL/ERrIK1dXOl7/0N590qquWltYPf3rlp//mH2NMvV/adjzwUiXT3leG5RIkzPDwsHpoGWEMDXL+/PnBwUHZzlpaUhHGHMOFi74/Z2Vq1B5DTOv3Do1PTMqFaCIiGQAjiGSAfomNZBXODNnx47/6w/8l66v4/vDrd+wIvFTp1Pxz9KsiV4QhDdFgsp2lraVFjgzUsD2GmJo//L2DSAbACEoQQL/ERjJh7yvDvtKnOG353p/8lqya4vudm7b+X9/rlE5GTgipilwTIhkaTLaztLW0yNNQG7PHEJOpLjKBSAbACEoQQL8kR7LC2KXKZ5RpndQrRCeTLBWJZGgw2c5S2NKePnTG93fd0MlUF5lAJANgBCUIoF+SI5nw85MFXwHUuMlgaRWfLJOJZGgw2c5S2NKa+VOO2WsYEskAGEEJAuiX8EgmNOc37+RcHro8WSYTydBgsp2ls6VVcdnoOiYR/MyeekokA2AEJQigX/Ij2fjEpMhLvmJI7/Tovryps0GqJctkIhkaTLaz1La0SkO2apiMDHyvIpIBMIISBNAv+ZFMaOiRSMZ/6q6KLJOJZGgw2c7S3NLKjQ9U92Q8jwlEMgBGUIIA+qUikgkilTWir+zRffkU5TFBlslEMjSYbGcpb2kNSmVJyGMCkQyAEZQggH5piWTC+MRk5EWHappExkvL8YoeWSYTydBgsp2lv6XpHSJo/d6h46fPy5c2jUgGwAhKEEC/FEUyhyiwtBzEmIrxFYNkmUwkQ4PJdjYtWtpw4aKWPvZtB08l6joZRDIARlCCAPqlLpIJoiqq53gk8dxE1VVVkWUykQwNJtvZNGppB4+N1vxrzqP78snpHPMQyQAYQQkC6JfGSOYQsWowNxK/xhJzpjqMOWSZTCRDg8l2Nr1a2vjEZC5/tqoes6cPnUnImWNBRDIARlCCAPqlN5J58iMXDh4b3Xbw1KP78r5ySsQwcb94NIG/cNdGlslEMjSYbGfTtKUVxi79/GRBxK3QeCZ2GntfGRZJLOHnmhLJABhBCQLoNw0i2Ywiy2QiGRpMtjNaWoIRyQAYwRcDoB+RLF1kmUyhjAaT7YyWlmBEMgBG8MUA6EckSxdZJlMoo8FkO6OlJRiRDIARfDEA+hHJ0kWWyRTKaDDZzmhpCUYkA2AEXwyAfkSydJFlMoUyGky2M1paghHJABjBFwOgH5EsXWSZTKGMBpPtjJaWYEQyAEbwxQDoRyRLF1kmUyijwWQ7o6UlGJEMgBF8MQD6EcnSRZbJFMpoMNnOaGkJRiQDYARfDIB+RLJ0kWUyhTIaTLYzWlqCEckAGMEXA6AfkSxdZJlMoYwGk+2MlpZgRDIARvDFAOhHJEsXWSZTKKPBZDujpSUYkQyAEXwxAPoRydJFlskUymgw2c5oaQlGJANgBF8MgH5EsnSRZTKFMhpMtjNaWoIRyQAYwRcDoB+RLF1kmUyhjAaT7YyWlmBEMgBG8MUA6EckSxdZJlMolzE18voL2Sq88PrIlHwqPLKd0dISjEgGwAi+GAD9iGTpIstkCuUyJrI9c+RWimVOT3ZCPhUeuXFoaQlGJANgBF8MgH5EsnSRZTKFchlEMh3kxqGlJRiRDIARfDEA+hHJ0kWWyRTKaDDZzmhpCUYkA2AEXwyAfkSydJFlMoUyGky2M1paghHJABjBFwOgH5EsXWSZTKGMBpPtjJaWYEQyAEbwxQDoRyRLF1kmUyijwWQ7o6UlGJEMgBF8MQD6EcnSRZbJFMplMLyHDnLj0NISjEgGwAi+GAD9iGTpIstkCuUyiGQ6yI1DS0swIhkAI/hiAPQjkqWLLJMplMvgUtE6yHZGS0swIhkAI/hiAPQjkqWLLJMplNFgsp3R0hKMSAbACL4YAP2IZOkiy2QKZTSYbGe0tAQjkgEwgi8GQD8iWYqcP39elsktLeL/8l6gAWQ7a2kZHh6WdyFhiGQAjCCSAfoRyRJORK/du3d3d3e3tbXJGtkl7lm1apV4lKIZWgwODvb29nZ0dMgWpli2bFl/f7/IAHJWJACRDIARRDJAPyJZYomgJepjWRFXIuYkmKE2IvZnMplg5g+1atWqXC4nnwmjiGQAjCCSAfoRyZIptERWuy9CuzLEs+TzgXhEvgq2JbXtiQwm/6fo7u7m0FnjiGQAjCCSAfoRyZJGVLq+IljcHBwcdCpgeZc96IK4R9wvimN5l23ZsmXUyohJZHjZbmwim3nHwcq73OE9RHLr7e1Vo5r4P8cxmkUkA2AEkQzQj0iWKCJNiUwla96wg8TkA6Xj4InKTE1xpDLEoR4WK/KViPfyAZt8oLSliXbV398vHyCVmUYkA2AEkQzQj0iWKGoeCz0KUT4WNjT57t275WOkMlSi9o+JPB9sLfKxsJaWy+W87jJSmUFEMgBGEMkA/YhkyaH2P/i6LDzy4bBCWRDPkg+3tIhXk/cCpUSmkq3EHhhG3ltKPhzR0kQY8FIZ+d8UIhkAI4hkgH5EsoQQ1ZVT4Aq7d++W9wbIOSIKZUFNZb6DHgFBxCdvPI9Vq1bJewOcGQR5O0BNZYwrYwSRDIARRDJAPyJZQngng3V3d8u7wjjzCPJ2GG/Aj2XLlsm7AJd3yKIIVGV6t5x5BHk7jHqsLNdgaD4iGQAjiGSAfkSyJFC7yMqXtnKmsoWyqLO97gs6yuDjtY2og2MdzjyCvB3B+ymBA2Wbj0gGwAgiGaAfkSwJvLHvok7s8TizCfJ2BK8npOILYkY5dOiQ0zA6OjrkXRGc2QR5O4J3WppIevIuNAuRDIARRDJAPyJZEnjn9ogaS94VwZlNkLcjDA8PO7NRKEPlhf8y5ys6nNkEeTua13rpkm0yIhkAI4hkgH5EMuO8+FSx40Jw5hTk7WjeePoVYx5mDu3hX/BGCmWQjyYjkgEwgkgG6EckM8479Kv8wB4OZ05B3o7mFcrlTxnCjOI0iTh9p86cgrwdzTsYkqNkm4xIBsAIIhmgH5GsDKfQRLXk5kM15LZDNeS2m6mIZACM4Gse0I9IVoas+1AluflQDbntUA257WYqIhkAI/iaB/QjkpUh6z5USW4+VENuO1RDbruZikgGwAi+5gH9iGRlyLoPVZKbD9WQ2w7VkNtupiKSATCCr3lAPyKZcd7wHqtWrZJ3RXPmFOTtaN3d3c6cDE0Oj9MkBHk7mpwvxpy7d+925uRq0U1GJANgBJEM0I9IlgRORSucP39e3hVBzhejUG5ra3PmHB4elndhxhOx32kVhw4dkndFcGYT5O1oXvhnbM8mI5IBMIJIBuhHJEsC7xpiFYtaZzZB3o7gjUsuXlneBbz7biaTcRpGxQHrndkEeTvC+fPn5XyE/6YjkgEwgkgG6EckSwLv0K+KCcqZTZC3I3idIVy9FyrvuuRC+QQlZ6rU0ryMF+ewW+hFJANgBJEM0I9IlgTnz5/3jjMs31HmzCPI22G8k9MEOi7g48X18h1lzjyCvB0mfrtFIxDJABhBJAP0I5IlhNfbIGrcMmeUOfMI8naAeG5HR4czD8MtIEhN7GXOKJNzlI1k3llkosnJu9BERDIARhDJAP2IZAmhRqlly5ZFpTJnBkHeLiWe5Z2WVj7aYSbzopRoJKKsl/eWcmYQ5O0A70cEgVE9jSCSATCCSAboRyRLDlFgyQo3OpXJh8MKZTWPCRWH1MOMJZqKl/+jUpnzqCBvl1LzGJ2xphDJABhBJAP0I5IlyuDgoKxz7YPBgp0P8rFAoSyKMzWPcWIPyhMNxjsNTNi9e7d8wCUfCLQ0Eee8TjZB/F8+gKYjkgEwgkgG6EckSxo1lQm9vb1qJ4a8VymUh4eHxTzyXht5DHH4UpmI9GrPqrxXaWkijGUyGfUpIo+F9uWiOYhkAIwgkgH6EckSSFTGauEriHJZVMPe1caEXC4n7lF7xgTxLI5XRHwiz/uaUEdHR39/v/q7gGhpu3fvVnvGHByvaByRDIARRDJAPyJZMp0/f97X91WRKJoZ8h418PV9VRR6SC2aj0gGwAgiGaAfkSzJnIMSK5bLYh5KZNTDOSjRG/MjyqpVqzgsNjmIZACMIJIB+hHJUsE5TNE3rIK4hyQGvUSVv3v37v7+ftnO7BgmWppIYvTBJg2RDIARRDJAPyJZusgyOWJockAX2c5oaQlGJANgBF8MgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgBIIyIZACOIZIB+RDIASCMiGQAjiGSAfkQyAEgjIhkAI4hkgH5EMgAz0HDh4s9PFva+Mrzt4CnfNJgbyeXPFsaSnnOIZACMIJIB+hHJAMwcIomJGLZ+79DanScrTo/uyx88NprYbEYkA2AEkQzQj0gGYCbIj1zYdvCUL3TFnESKS2AwI5IBMIJIBuhHJAMwvY1PTIpM5UtZNUwHj43KV0wGIhkAI4hkgH5EMgDTWH7kQszDFONMjz33VnK6y4hkAIwgkgH6EckATFe5/Flfpqp/EgFvuHBRvoFRRDIARhDJAP2IZACmpUbkMWdKSCojkgEwgkgG6EckAzD9NC6POVMSUhmRDIARRDJAPyIZgGlGhCVfgmrEJFLZ+MSkfEsTiGQAjCCSAfoRyQBMJyImPbov74tPDZq2HTwl39UEIhkAI4hkgH5EMgDTyWBuxBecwqbj99z/xfe1VOWP2r9xOPA6J3P5s/KNm45IBsAIIhmgH5EMwLRRGLvki0wR0/98eUW7jFpx/dXif30t8DonH92XN3X4IpEMgBFEMkA/IhmAaSP2JaFf+tJX7vn03/xjhanz5g//lgxk7/njr9+x3fcicvr5yYJ8++YikgEwgkgG6EckAzA9xO4iizc9/fytN1/7HiePXf2VW7eEdJE506P78nIJmotIBsAIIhmgH5EsLc6fP3/o0KGMbXBwcHh4WD4A6CZqfael7d69W/xf3pt4Pz9Z8IWl2qfYecyZjp8+LxeiiYhkAIwgkgH6EclSQRTHbW1tdn1Y1NvbK3KanAPQQcT+jo4O2cJcq1atyuVyco4Ee+y5t3xJqcapyjwmpr2vGPiJhEgGwAgiGaAfkSzhROgSBbFdHIYQOS1FnRhIuN27d8uGFWZwcFDOl0jajlqsPo+Jycixi0QyAEYQyQD9iGQJ19/fbxeHkTo6OugrQ/0OHTokm1S0JOf/46fP+2JSLVNNecyZRCaUi9IsRDIARhDJAP2IZEk2PDxsF4cVZDIZ+QSgVsHjFYNWrVol506eg8dGfRmp6qmOPCam/MgFuSjNQiQDYASRDNCPSJZkImvZ9WEFopiWTwBqksvlZGOqJLHjyjx96IwvI1U31ZfHxCQyoVyUZiGSATCCSAboRyRLsjJnkfnIJwA1iRn+hcSO87Ht4ClfRqpiqjuPiYlIBmCGoOYA9COSVWTXaaiO3Haohtx2qJKz9WqPZDrymJiIZABmCL7jAf2IZBXZpRqqI7cdqiG3HarkbL0aI5mmPCYmIhmAGYLveEA/IllFdrWG6shth2rIbYcqOVuvlkimL4+JiUgGYIbgOx7Qj0iWZDFHXNy9e7d8AlCrOCMudnd3y7mTp+pIpjWPiYlIBmCGIJIB+hHJEq7iuAvLli2TswJ1qDjoYltbW2KHWxQGcyO+jFRu0p3HxJTLn5WL0iyJiWQnM51z7G0ZQ2fGwEW1AQ1GcwN9Xe2tsiW3tPdkC/KRmYdIBuhHJEu+3t5e+RUQIPIY14mGLoODg7JhBYg8Jh6V8yXSz08WfBkpcmpAHhPTDL4uGZEMCVDI7elZvjRzUt7UbHwoc5uXxmzLM/kJ+eDMQyQD9COSpYKohoPHlfX395PHoFculwteekHcI6p/OUdSDRcu+jJS+NSYPCYmuRxNRCQDpIlsj9UG53Q2KJLJ129p7dx0tDAp75zBiGSAfkSyFBEVmPWdYCOMoXHUkxiTfLCiz/q9Q76Y5J8alseePnRGLkQTJSaSVVJ4ua9znr3V5y3NHKeehX6NjmT5TKfVgBv2+mlDJAP0I5Kli/WlYJO3gcaQ7SxVLW3vK8O+pFQyNSyPiennJw2cVZKOSFbMY63tPc/P3JNv0FBNimQz+vwxFSUIoB+RLF2sLwWbvA00hmxnqWpp+ZELvqSkTC9/6W8+6eQxkQ0+/OmVn/6bf4wx9X5p2/HAS4VM4xMG+n5SEMkmhwbWLHS2efuaPXk6yNAgRLLmogQB9COSpYv1pWCTt4HGkO0sbS3t0X15X1iS044f/9Uf/i+5SvH94dfv2BF4qcC09xUzx3YmPpKNHu1b6oyIUOMZOJP57A+39MhONmFeZ8+WH2aDyc45mU2U48cLuV3F+dvvHcify2eWW//vzOSt4R863REaFq4ZGCq+TiE3kFHfqLW965HMQM5ffcu6fHkmP5zb85D7Wkra9C+wWPGeJzLP5mKt+4Rc1Dk92YlJsUR9XU6aFRZ29W3P5sfljJI7v85VsyOH/d7t9tzO/GHb3CGW89nME8X3trR39UWtsrV9HikOWijmtF66kO2x381acTmjazQ38MPSlw8uf+ipjKVjb8RtSCHck8h8nGxWpuF5H1ZgFcK3j/rpW8ubKT5FLG3G/fSDDUNsizjroRklCKAfkSxd5H6YSIYGk+0sbS0tlz/ry0ty2vK9P/ktuUbx/c5NW/+v73XCpsKYmUSU7Eg2nh+4V5b1JRVqXJP5PWuKA46rRFGeKS1DZWX8+QfulxHQsbAvN+lWup+/t2dpMSm1tNzUlxuznztZOLqpJFEo/ElS5pbPP9Cjvk/rwr6j1kzFQzQDWpf2Ha142TqvKL83s8vddCVKs5Y3v85Va38g80TYZg/r5JzMP+/F0qDAhx71gbZ2PvRI1wLrf6WRbDI/+FDU9ixZngqRrJqGFCJOJAtrePaTq2gSlT59a3ue8X7jKNH+ULbpqYwSBNCPSJYuchdMJEODyXaWwpZW9TWj65sGcyPyjZsuwZFMCQOx0khA4fkep4xut7sBnDuVvoPWpRklnShFefuaTM56OzHvdqsbxK10LQu7Mketl3IfK1lO9Y2UbqKS6CJzi3W3W82P57MDdg/GSLZnkf1IZ88erw9HPLpZdgp5ZXokdVHV5VFepPW2zJCXcxq0akKx70XErk2yT8Y3NIs3KHxJR40yf0tr10Dxg/fCidg+Gdk/pc5sUSPZ5PGMkzPVhVc3Rcv8rgFlTJ2oAxera0jR1F7EojINT1nlkk2kXNys5E9D/TRF6xJPcB4azWXW2J9Xa3vn59vVHrNiJHZ/FGgiShBAPyJZuli7X5u8DTSGbGcpbGlxR8PXMa3fO2TkLDJHYiOZ0i/h69iJyY03YT//Tw5l7J4CtSL3KuPSMt1SrHRLEoJj8mjfQns5Q/rxvF4+pd71ckvrmoHR0gWTkSBYHE+ODqyx38PrvIqiFOUl0cvmRgslQjRm1UJGxfTSprJUowNd9uKEDNnivXVxK3n5bVFPtvQnjOLZhmok8zZaYH7xWK7PeULJWodHsmobUrQKkSz4ImO5vpvsh0L+BIp/IMWgrnya/pR4ZqBrvvOIf2t7wbXp15agBAH0I5Kli71ftsjbQGPIdpbOlnbw2KgvOzVoav7loVUJjWTFzoF5nX0v++v1OGS5H1Ury2JXqcjdyjiYlIqVbsirucV91Bu5pbBXN7u5JSQCuce3hTwUl7eooZcKCEa7xqxaaK+RG8DcCFc+Z7rnhnlHD7ohLXzjyBdXI1lg8VTeoYRqDgmNZFU3pGjlI1mw4ZVf5eo+TS/dBbd2mdPwGosSBNCPSJYu9n7ZIm8DjSHbWWpbWoUB8XVMIvjJNzMkiZFMxxCLbodTMF853HK2WIa6lXFIBe9VusFy1q10K76R91xZl4ceJ6Z0ZXQ9kok7pIfKW9TSoSk88t29kr0RqxY48E+SWzhe4PQihLsi/iX3cT++mLnC64WrFMmqb0jRykeyQMOrFImDKbfMp+8+FLIiRDJgGiGSpYu187XJ20BjyHaW2pY2PjH52HNv+UKUxsnUKIuq5EUyZYjFmKfohPBq04q84tWtjEMO3ypT6VYuZ93+GLcQL5tbQoaRsMdbjDmyX3FRo5bHTRgxiviaV80XOTzuC4Z2W1nG89kdGcsTyniAcsHc9wpGR0eMXDGZz/7QfvmMMmBjhUhWQ0OKVj6SBRqef/MGuXO4K+0ubUjuKtMwiGTANEIkSxdr52uTt4HGkO0szS2tcaksCXlMSFgkU4dYrDQEnFuP+tiFZQ2VdH2RLORZLl8hXjaSWQq5Ad+I8I6SMT+ilKm8bVFFvM5VqxTJSpZtNDewVR3xP8AXyaKST0SuiNqYnhREsjKvLJ/r/zRDPv0yDxHJgGmESJYu1s7XJm8DjSHbWfpbmvYjGH9+slJp3SxJimTqEIuBoSmC4kSyKqrMRPSSqexOHbW/SAg9Q0xVacX9qaMRq1YpknlbWB2Ww9He1Wf1Yv1wIHfKd+Ci/738QpY20OXoHA4qPJsbPRLvwMUaGlK0GiNZ1CoX53CXrszSlnmISAZMI0SydLF2vjZ5G2gM2c6mRUvL5c+u3zvkS1Y1TI/uy5sdz8MnOZFMKaBDhsirkneaU4y+C6m2SKb9hKtQ6qDnUW/kcBc1ajb57sFzyTSuWoXTvdxzyZQR8Dc9Hzgu080J3oLFe/FirlBGwN8UPOzTDTOVIlkNDSlalZGs9nPJiGTAjEUkSxdr52uTt4HGkO1surS08YnJerrLRKI7eGzU4Hj3oZISyZQhFit1BMXjr1Z93LxRPK+ptkhW87CEIZHMjQmhp0vFzAbeooYuj/sixZTViFUrPyii92q+hFbKG37DW7BqR1wsG+HcVasYyWpoSNGqjGS1j7hIJANmLCJZulg7X5u8DTSGbGfTq6UVxi6JYFZVj9mj+/IJDGOOREQyr0Oj5iHvQ7iBIewy0+7lpNQ6u8ZIVgwP1V28K6yXzK3+Q67T5ZX+Fepmb1HF8vhPxnP7IdXXb8SqCdGXDisuVZlIppxSWFyw6OuSeZcOE+JEMvWAyZBI5ktf1TakaNVGMu9Dr/a6ZEQyYMYikqWLtfO1ydtAY8h2Nk1b2vHT50U2KzP4x7aDpwZzI4k6TDEoEZGsWMrHFH12jaJYs7Z29mS8Y9eUgwBLQkutkUw9Ba69q2/AHYGjYL+PfXdr56aj3huViWTF1DHPXmI3BRVfqmLpr0Qy630f2pNzUsR4PrvZXWs1XzVi1WzKYCST+ec3yTPi1Gjh5Y15nQ8Nup/OZCH3bOl4HMpn7UX38Be3ebnCy5NiKxSPiwyMJlKSQ9yU6Az1WTiVt1etyoYUrepIJpbB6z1eaH8AzruoB7KqQZFIBsx4RLJ0sXa+NnkbaAzZzmZASxsuXBTRy5sKY8aHyohrGkcyu77PyMo1oLVzw/MlPT81RzJBiS4BJaFFKBfJxCsFRrwoinOVNq/yvuORjfJaAiXa12RkSHM0YtUWdD3yUNhTFnZljpZ8bMW84dPa3rX5+YEN9oYo6eZSTjgsIWLXI10LrP8VP74yS76wa9OzA4/YgbDkTDkvJTq8ZlZVQ4pWQyQTIreSeG9fxx2RDJjxiGTpYu18bfI20BiyndHSEmxaRzKbNXDhFrVjpLWz54mQ63zVE8lshdyAesErq6drS8j7lI9kFuvyXKU9RQu7+sIWOYRaeYvXyRRXvL2rL+QlGrFq1qcjtrp4b/cJYvm3Fzv9VNano76ysqZun5j/yEbfU2T3nZsrSj8+a163Q89ijei4w1kS95jD0iMbxRM2efOXfkbWa8VpSNFqi2SWUfEBqGNvRrw1kQyY8Yhk6WLtfG3yNtAYsp3R0hIsKcN7QI8ylXfjhUeO5nDP+CoXbJAsfDEA+hHJ0sX63rLJ20BjyHZGS0swItn0Mn0jmTseZfiayTPH4g2zgWTgiwHQj0iWLtbXmk3eBhpDtjNaWoIRyaaXadxL5h7gFzKWhjdCY/1XtEPz8MUA6EckSxfrm8smbwONIdsZLS3BiGTTyzSOZN5luKzBPNyRJO3z3LzhH52REpESfDEA+hHJ0sX+8rLI20BjyHZGS0swItn0Mr3PJRs92hc2jKSltb0r444Rj3TgiwHQj0iWLvIrjEIZDSbbGS0twYhk08u0H97DunBZRh1EMWr4RyQeXwyAfkSydJFfZBTKaDDZzmhpCUYkA2AEXwyAfkSydJFlMoUyGky2M1paghHJABjBFwOgH5EsXWSZTKGMBpPtjJaWYEQyAEbwxQDoRyRLF1kmUyijwWQ7o6UlGJEMgBF8MQD6EcnSRZbJFMplTI28/kK2Ci+8PjIlnwqPbGe0tAQjkgEwgi8GQD8iWbrIMplCuYyJbI99VdK4jIxvlnhy49DSEoxIBsAIvhgA/Yhk6SLLZArlMohkOsiNQ0tLMCIZpoWTmU5rl52APXG1S1LI9thD+ndm8vKemYIvBkC/aRDJhgsXf36y8PShM48999banSfVSdwj7j94bFTMI+dOOWvvb5O3gcaQ7YyWlmBJimSThdyuns47Mvn0/rxR7SpMg1WOaTS356HOpY1LHdMukhVye3qWL82clDenI74YAP3SG8kKY5dE1np0X94Xw6ImMedgbkQ8Sz4/nay9v03eBhpDtjNaWoIlJ5K5PdPL05tPql2FabDK8TShI2h6RTLZMuZ0EskAVCWNkWx8YnLvK8O+xBV/Es9NbzCz9v42eRtoDNnOaGkJRiTTiEgWgUhWJSIZgNqkLpL9/GRh/d4hX8qqdhKvIF5HvmKqWF+NNnkbaAzZzmhpCUYk04hIFoFIViUiGYDapCiSjU9MPn3ojC9c1TNtO3hKvKZ89ZSwvhpt8jaC3FoprgQUAgkkN870bWnOOaiDuRGxH/BN4s5c/mzy+9KJZBoRySIQyapEJANQm7REMpGdgqN31D+J10zXyB/WV6NN3kYQkUwHuXGmXUsTf+8iccU8B1XMdvDYaGKzWSIiWT7TKVuKwle+F3IDmS09nfPko5aFXX2ZgdyonEFyCmJRyx63R85w52+/dyA/LmeZzGd/+EhXe6v7UFffD7P5STc2hPwtj+ezO57o6XSf0NLa2fOE9RT5sCXOKqhqWeXW9q5HxApXe2yGtbr+pX82Vwj7JTHuO6qpY1Q8p69rofOEwIcykc8sl48UuUlDbgSRSIetwT/kEra2r9lT3La1LFI8pc1AbJWM9ZEG06N85fBPU66Cmp2UJQm8hb/ZWHzv6L5diekZ2ilBAP1SEckalMecaf3eoRSlMrmTJ5KVwaWidZDtbBq1tPzIhW0HT/n+/GNOyTwBNQ2RbDz//IZiovBbuGZgSKlynYp2zucfuH+p+pSFfTl7psn8njVeGFO0dj70SNcC63++on5yaGCNlzdKta/JeNlDcySbLBzdFLXKrZ2bjoYGqhCjucwau94PUDOqpap3dFPHA0/sCt84i3qyI/accSLZ5x/oUT+r1oV9R53PqpZFihfJIprBvM6+wQFdkaxrw8aSXxCk1s4Nz5dseSIZAH2SH8kamsecSbx+Wo5glDt5IhkaTLazadHSxF93PQMCedPBY75eHcOSf+Di5FDGLthb27v6it0vk/nspi4ZNlrXDIx6+16lonUjk5h3u9M5UXi5z6mS3T4R+9HnNxU7eXxF/Ui2Z5F970LrzWUGGM9nM7LfpvW2zFCxvNZ04KISRex1lj1ChdxAn1zleKlsfChzm/MyInDukZvOHoxevvhDWfki1b6jGhvmdfbscreMkgCLLy5EHLhYzKXiw83YLyK27UDWSiw1LlKsSFZ4vsfJY6IZ7HFe2bkagZKg6o5kNrFem+3VsdqZ12Jbl2aUXxHCNg4HLgKoTfIjmd7zx6KmbQdPyfdLNmvvb5O3gcaQ7Sz9LW24cDH+pTIqTo8991ZyussSH8nODHTNt+4uKfEdY7m+m6yHWuZ3DZyR9xULYvVOhxdRvD4cl9oVVizqJwvZh+xiOTC/MHk8s9Sq4Fu7BryQrSeSTR7tW2gvpr8jSxjPD9xrL5LXlRTNCx7+TTc5OrDGfsDdRFW/o7eR5y3NHC9dDG8j39SXG5P3VYxkJaHaVusixYhkZZqB/EwtGiJZ6RGYFq9FqY2TSAZAn4RHsp+fLPhKosZNSfsJ3Gd4eDiXy1l7f5v4vyjI5GOAPufPn/e1NEE+lja5/Fnfn3n9U3IOdU56JBsd6LLK5/AE4j4lrCCOrvLVEFUk30gt6mUaDJ9fvF6uz4pxyhtpiWTyZUMipcPNqO6hmBECuUvlvrGzatW/Y/RGDn+1CpEsuIVrXqTKkaxsM3DfV0ckC9s4YY2KSAZAnyRHsvGJyfrHu48/ifdK4Okihw4d6u3tbWtrs/b7AeJ+8aiYR84N1Epk/v7+/o6ODtm2AlatWjU4OCgCm3xC4jUijzlTQlJZ8g9cLMMtoMMK4mBikdVzVJXvPtEr6uUCRc3vpbj2nqw8qq7aVQib3+36Cy/oBS9rqd1QQW6hX3lhanjHalNK+UgWzNu1L1LlSCY/tYiP1eudqzuSRSR59+S64qoRyQDok+RIpuX0j6om8Y7yvRNABK0y9bGPmJNghtqIMCbilmxJlbS1tWUymeQHs8blMWdKQipLXSSzBrETrUdwzykKLYiDBbT7+lFJxq2MvaJeVtsVFd9dRyQLLEaA+6xiFAzj9iNVzig1vGPZ1FF1JAsGj9oXqeLqujE+auu5263uSBa1JIEPPWzjyJmCW2ZaIZIB+iU2khXGLvlqoOZMSegoE/Vud3e3taNXiNCl3in+HwxsorBOUScGkkCUx7L1uEToUhNaf39/MLCJtpfk42ZFWGpCB/uj+/JmhwVKQySbLOSeVUdxDwgpiKMjWVReCsQAs5EsNAA45IKVj2TudqiYUWp5x7KpIySlRLxFyJwO3YukcLd51NYLvnVki7KErEKFJQl86GErK2cKbplphUgG6JfYSHbw2KivACo7Hb/n/i++z9o1xvdH7d84HHgd8x1losxSs5bTKTE8LJdK3usOuiDuF4+qhzWK/ye5VkZyBJN/b2+vd9qYvMttaWLmwcFB368A4h7n0UQRMSnGeB569hhPH4o4Lq4pEh/JvLEcPAu7+p6weskGcqNlDlwMFNBxa3F/JCuffEpErEKksPkDixFQaUUc7naomFFqeceyqUNjJNO1SIpKvWTBRY1sURYiWR2IZIB+iY1kVQ6S9j9fXmHvGavwV4v/9bXA61jHI8klMEHUWGq+6u/v9/V6yQdKx8ET86h9HaQyVCTazLJly2SLsftXvdjvkA8ERlwUMUxtoglMZYO5Ed8fddikbY9x/LSxfumERzJlBHx3MHGF+5RYkcytnmOfSyZPOqqiLA5dhTLC5m/OuWTe5cLEi4xoPnFLQyRrwrlkUR9rsP1Et6hiwAtpgRHnkgVXjUgGQJ9kRrLhwkVf3VNpeulLX7nn03/zjxWmzps//FvW/lN4zx9//Y7tvheRk6kaS1TJXi+EqHpDzw1zHhXkbUUul/NqZfEfX5YDVL29vU5TEUSel/cq5GNhLU2ENzXOJeokxtgHPGvbYxg8fDHZkSw4FoLKrW7DCuKQArrWERejxjZ0y/FiNNIRybyXjT/YYCgvtIS+TsmLVP+OZfOPhkime5FKyOdWaAaxIpm3kcNaYGijDbl2ApEMgD7JjGRVHrUYb3r6+VtvvvY91u6z5T1Xf+XWLSE/eDvTYC5wHZum8I4iK9PN5cwgyNul1E62VatWyXuBUrt373YaiRDVzSUfjmhpaidbovK/zjGBYu8xfn4y7tFxeiUvkqmdP+Ui2WR+zxrnulsxI1mZC1IVLwmtFvVewT2vs+9l/8fjXcNKiUZhq1BO+PxVX5IrQvR1ydyrY7kvUvU71hrJfDEyOpJpXqQS3se6cM2AcsVmi9IMiu3HXfjSy4JbvC0c2gJDmo235GoLLBPJYnzKaUYkA/RLZiTbdvCUr+ipd4pdXYnJyGWjDx06ZC+dpUy3g5wjolAWcsoVpZJ5qg/MEvHJy+39/f3y3gBnBkHeDlA7dXt7e+W9RukcE6iaPcaj+wIJoimSE8ncAt25+vBkIX9KlLNub0lLa+eG573SvJAbKB3uQynEy0Qy8XJujmrt7NmTc8rlyfzzm7qcN7GpRX3xEtLzOnsy7pGTk+L9++RTStNd2CqUEz7/ZOHoJrl27V19A3I5rbV2B5ls7dx01H/h7KDiaXitnQ/tyTm9MuP57OYuf1Sr9h2rjWRetHZSTSGft9+hTCTTu0g+xY91Ydem552rOfubQbH9eAnWtxkzPZ3zWha029syNJIJotnsyjkLWVxy3yWkQ7sQ5Yu0Ls1YqbFwKl/5404fIhmgXzIjmebR0qqprpxJLkcTedVtmSpZcOYR5O0w3nll4jXlXYDLO2Rx2bJl8q4wzjyCvB1Gzf9R/brNpO3K8tXvMYwc7ZygSOZ1jDhkcT16tM8+myyoXZTTex7xH4tYNpJZlbfXt1ZCVNuPdC2w/ud7YuFoRq3UVeI5sp53ha9CtMj5lUASEC+POUZzmTVOnPDz9z5V9Y7VRrJitHbIJ5aLZIK+RQoqprISEc1A6T1Tta/JHNkTOMLQXZIHtmx18n8JXx4TQiOZd1Cuo4oxZlKESAbol8xI5it36pqqr67E1OSTQ7wusorHgDmzCfJ2BC/g0VEGldpF5g2uGMqZR5C3I3gBLwkdZY8995bvD7mWqaY9hpGRWhMUyUSdXNJT4Z1hNZ7Pbnd7pYTW9q5HMj/M2nWteyxi8cjGCpHMYl3a7BHZUyTITpjQytghFmBHSbdca2fPEzuCw40IEasQqdz8hdxARllOq8tli1zvalirqy69WN+oV4n7jlVHspLeOcHZyBUimU3LIoUrbVfiM82I141qBoGZn3jW6v4KOelLWZKSlma127Alj3hH8dxNoVfemz6IZIB+CYxkpo4+Uqf8yAW5NE3h1bWhAy2onNkEeTuCd7JQd3e3vAuwx0t0Gkb5LjLBmU2QtyMMDw87s4mkJ+8yZHxi0vdXXMtU6x7DyLGLiYpkRrkjRpTJcpj+yiRzaEYkA/RLYCQTcchX7tQ41VpdianJkczruPANRB7kzCbI2xHOnz8v56s0J2YUbwiZit2nzmyCvB3NG+fD7NCLx0+f9/0VVz3VsccQU/OvMj+DIpk7mEZ4R4o8hnCaD6iASohkzUNhAeg3bSNZfdVVMyOZqKvsxazccSE4cwrydrRVq1Y5c5Y/Pg0zivbwL3jnLlbs422oeodprW+PIaYm/44jzKReMveYRv8IhELoUHiYgYhkzUMkA/Sbngcupqq68sZIiHM2jjOnIG9H6+/vd+bcvXu3vAszntMk4hxk6MwpyNvRvAZs9ijZpw+d8f0VVzHVvccQk8iEclGaZSZFMm/0c2sUB3foPPFtoQzi5wxwh5mLSNY8RDJAv2k4vIeO6so5Bsl+DVTN+RBRFbntUA257Wy1XzlDxx5DTESyBosev9EafSEjxyvHzEUkax6+5gH9khnJah8EX1N15SyG/TKomrP1UBW57VANue1sNUYyTXsMMRHJGm+ykHs243aL2WocyRDTEZGsefiaB/RLZiQzW1099txbzmLYr4SqOVsPVZHbDtWQ285Wy05DXx4TE5EMwAzB1zygXzIjWS1n6uurrgZzTT1H3Lsomd5zybxBFziXDB6nScS5hrgzpyBvR/POJVu1apW8y4SqI5nWPCYmIhmAGYJIBuiXzEhW9aCLWqur46fLXaxZO6+iZcRFNJo34mL5K5ILzmyCvB0tISMuVhfJdOcxMRHJAMwQRDJAv2RGMqGK08m0VlfifeUSNJG97BZdhbJ6XbKKr4mZoxHXJfPCv9nrkg3mRnx/y5FTA/KYmHL5s3JRmoVIBsAIIhmgX2IjWdwCS3d1tfeVCtdragSvUK54kKEzmyBvRxAFtzNbnJ43zByigTkNo+JBhs5sgrwdYXh4WM5nOvz//GTB97ccPjUmj4mJ65IBmCGIZIB+iY1ksa5O1oDqarhwUS5BE3kJquJJPs5sgrwdQbyOM1vFzhDMKGr3qSjo5b1h5EyVWlpvb68zm9mLkgniL9f3txwyNSyPiUkuRxMRyQAYQSQD9EtsJBP2vjLsK3pKpgZUV9sOnpLv3XReiCp/Qo4zjyBvh/F6Qtra2jhqET5eiCrfUebMI8jbYUQkkDMl45TFCkc7NzKPGdl1EMkAGEEkA/RLciQrjF2KrrFe/tLffNKprlpaWj/86ZWf/pt/jDH1fmnb8cBLFSfnCtFGeB1lQpnuCzlHdKEsnusN4WB2uAUkk3qoYZkDZeUc0S1NpP1ly5Y585gda9FT9kechuwxvOnnJwtyIZqISAbACCIZoF+SI5kQeX7Ijh//1R/+L1lfxfeHX79jR+Cl3Kn5A6b5eMMkiEwVlcqcGQR5u5Sokr3eNs4iQxRvjEQh6tBW+XB0JPN620RzFTFP3mtUuZFaG7DHUKfxCQMXKyaSATCCSAbol/BIJjx96Iyv+rGmLd/7k9+SVVN8v3PT1v/rex138i4PbZCoa70OrqhU5jwqyNsKMb+Xx8qEOkDwOriE0FQmHwtraSL5ewPSCIk6X/HRfXnfn7acdO8x1MnImEACkQyAEUQyQL/kR7LxiUmRl3w1kN5p/d4hIz9yB4kay0tlQvC4MvlAoFAWc6pP5FpkKE897FAQEct32qF8INDSRNPykr/Q398vH0iGXP6s76+7CZOpA56JZACMIJIB+iU/kgllTyqrdxKvbGSUxSi+VCbK38HBQa9clvcqhbJ4VC2RxXPNXh4KaeFLZaLlZDIZ7xBEea/S0kQY846tdSQtjzka/QuObzLVRSYQyQAYQSQD9EtFJBNEKmtEpZW0POYQZbFaKztENayeAiT+76uPBfEsUaXJVwEqEanMOyXMI1qRyFryht3SxDxq7BeSnPxjjYavaTLbwU4kA2AEkQzQLy2RTBClz7aDp3wlUT2TyHgJOV4xlO9YxPKcLg75TKAavmMRKxIJzXeUY9IcPDbq+2Nv0HT8tMntQCQDYASRDNAvRZHM8fOTBS0HMRofXzEOUfgODg4Ge8xU4lER3hJeIiP5Dh06pA7aESRiW39/f0IGV6wofFggrZPxfQiRDIARRDJAv9RFMqEwdqnCVaTLTuK5Bq8/VhuRuHK5nO/ARXEPSQzaiXYlQr5sZ3ZLE2ktLUnM0+hhgQyeQuYhkgEwgkgG6JfGSOYQsWowNxK/x0zMmcYw5iPL5LChyQGNZDtLc0trXCpLQh4TiGQAjKAEAfRLbyTz5EcuHDw2uu3gqWA8E/eI+8WjZk/5AGCESGX19KiHTsk55plIBsAIIhmg3zSIZABQRi5/VssJqI/uy+dHLsgXTQAiGQAjiGSAfkQyANNenSegikR38Nho0gZoJZIBMIJIBuhHJAMwQzjBrKoes2SGMQeRDIARRDJAPyIZgBlF5Ktc/qzIZo/uy/sCmDc99txbg7mRhJ+DSiQDYASRDNCPSAZgJhsuXMyPXPCmFA3KSiQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQj0gGAGlEJANgBJEM0I9IBgBpRCQDYASRDNCPSAYAaUQkA2AEkQzQz4lkv/zlL+VtAEAaiEh29uxZIhmAJiOSAfqJSPbOO+8cP35c3gYApMHQ0BCRDEDzEckA/SYmJgqFwhtvvPHCCy/86Ec/2rx583e/+93e3t71AIDEELvl73znO48++ujjjz8+MDDw8ssvv/nmm+fOnSOSAWgyIhmgn/guF1/qp06dOnr06ODg4NNPP71t2zbxlb8VAJAkP/jBD5588sk9e/b87Gc/e+21195+++2xsbFJm9yhA0DjEckA/cR3+YULF37zm98MDQ2JVJbNZp977jmRzf4LAJAYYrf8k5/85Kc//enhw4d/8YtfvPnmm++88874+PiUTe7QAaDxiGSAfiKSTUxMnD9/fmRk5K233jpx4sTrr79+7Nix1wAAiSF2y8Ivf/nLoaGh06dPj46Ojo2NXbp0iUgGoMmIZIB+4rvcSWUXLlw4e/as+Jr/zW9+I+IZACBpxP75nXfeOXfunNhji/222HsTyQA0GZEMaAgnlV26dOnixYvj4+Pimx4AkExiRy3CmNhjO3lM7scBoFmIZAAAAABgDJEMAAAAAIwhkgEAAACAMUQyAAAAADCGSAYAAAAAxhDJAAAAAMAYIhkAAAAAGEMkAwAAAABjiGQAAAAAYAyRDAAAAACMIZIBAAAAgDFEMgAAAAAw5N13//8t+g4yUpckpQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='Error_propagation.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "8eCYYukCMtQm"
   },
   "source": [
    "## Donaciones\n",
    "<br>\n",
    "<center>\n",
    "Puedes donar una vez en el siguiente enlace (Ko-Fi):\n",
    "\n",
    "<br>\n",
    "    \n",
    "*Click en la imagen.*\n",
    "\n",
    "<a href=\"https://ko-fi.com/rcrdphysics\">\n",
    "<img src=\"https://habrastorage.org/webt/8r/ml/xf/8rmlxfpdzukegpxa62cxlfvgkqe.png\" width=20% />\n",
    "\n",
    "</center>"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "vscode": {
   "interpreter": {
    "hash": "0ba87761b36fe477cd25f3ad90588396774cbdb0fc8a2968a6f36fa7bc47dde5"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}