{ "cells": [ { "cell_type": "markdown", "id": "fc64b54b-dcf6-432e-be1a-62c91035fade", "metadata": {}, "source": [ "# Introducción\n", "\n", "Vamos a utilizar este apartado para dar una ligeras pinceladas sobre una primera aproximación ak uso de qiskit para trabajar en el mundo de la programación cuántica.\n", "\n", "La página oficial de qiskit la podemos encontrar fácilmente en esta dirección web . En este sitio web podemos encontrar muchísima información que nos ayudará a comprender cómo utilizar esta herramienta, aunque bien es cierto que quizá la curva de aprendizaje sea un poquito empinada." ] }, { "cell_type": "markdown", "id": "9d50a8b5-dc3f-49c9-8209-7a9c427144df", "metadata": {}, "source": [ "Esta herramienta de desarrollo de software ha sido creada por IBM con la finalidad de trabajar con computadoras cuánticas a nivel de circuitos, pulsos y algoritmos. Con este conjunto de elementos se pueden crear y manipular programas cuánticos y ejecutarlos en dispositivos cuánticos prototipo de IBM Quantum Experience o en simuladores de una computadora local.\n", "\n", "Esta plataforma tiene un riquísimo ecosistema constuido por una gran cantidad de plataforma que se pueden encontrar en este enlace . Dos elementos más oídos de este amplísimo ecosistema son *Terra* y *Aer* que junto con otros que se pueden ver en este enlace , constituyen un amplísimo elenco de herramientas para poder trabajar dentro del mundo cuántico.\n", "\n", "Entramos en materia viendo algunos de los elementos que se deben importar para tarabajar con este paquete de sofware ( existen muchos más elementos en esta librería que constituyen su API y que el lector puede encontrar en este enlace )." ] }, { "cell_type": "code", "execution_count": 1, "id": "5c55add0", "metadata": {}, "outputs": [], "source": [ "from qiskit import QuantumCircuit, assemble, Aer\n", "from qiskit.visualization import plot_histogram" ] }, { "cell_type": "markdown", "id": "0b444f1f", "metadata": {}, "source": [ "(qiskit_textbook)=\n", "## qiskit_textbook\n", "\n", "Dentro de las muchas utilidade de aprendizaje que nos ofrecen en la plataforma qiskit, se encuentra *qiskit_textbook*, que en el momento de redactar estas lineas lo tienen emplazado en esta dirección web: https://learning.quantum.ibm.com/\n", "\n", "NOTA: El paquete qiskit_textbook *no se instala directamente con qiskit*, es preciso instalarlo de la siguiente manera, pero ojo, antes hay que tener instalado git en la computadora y añadir en la variable patch de las variables de entorno donde está instalado el programa git.exe.\n", "\n", "\n", "Para ver más sobre esta materia visitar este enlace https://qiskit.org/textbook/ch-prerequisites/setting-the-environment.html" ] }, { "cell_type": "code", "execution_count": 2, "id": "92559e00", "metadata": {}, "outputs": [], "source": [ "\n", "#!pip install git+https://github.com/qiskit-community/qiskit-textbook.git #subdirectory=qiskit-textbook-src" ] }, { "cell_type": "markdown", "id": "63a629ad-9c3a-4675-8739-0d81266928d8", "metadata": {}, "source": [ "Es de advertir que en el momento de escribir este apartado, IBM está en proceso de modificación de la herramienta de aprendidaje *qiskit_textbook*, y si entramos en su antigüa dirección web ( https://qiskit.org/textbook/widgets-index.html ), en ella ya se nos indica una nueva dirección más actualizada que se encuentra en .\n", "\n", "```{index} Quantum Composer, Quantum Lab\r\n", "```\n", "\n", "En la nueva dirección y en el partado titulado **Tools* se nos presenta las dos plataformas siguientes:\n", "\n", "* Quantum Composer, el cual sirve para construir, simular y ejecutar circuitos con una interfat del tipo drag-and-drop\n", "\n", "* Quantum lab, que nos facilita un entorno de jupyter lab con todos los módulos cargados para poder trabajar directamente con las herramientas implementadas en esta plataforma.\n", "\n", " A continuación mostramos un pequeño widget sobre cómo intercambiar información entre números decimales y binarios." ] }, { "cell_type": "code", "execution_count": 3, "id": "80589089", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e4a9373bd0b8420cab0f69c5be3d2a82", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Label(value='Toggle the bits below to change the binary number.'), Label(value='Think of a numb…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "51091047c03e4106b629751e3329d68c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HTML(value='
Binary   Decimal\\n 00000 = 0
')" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qiskit_textbook.widgets import binary_widget\n", "binary_widget(nbits=5)" ] }, { "cell_type": "markdown", "id": "ea1c466a-65c1-48a7-8d31-4975243eaf0f", "metadata": {}, "source": [ "Una de la herramientas muy útiles dentro del mundo Python es poder incorporar latex en las salidas correpondientes. Para esto se suele utilizar el paquete *pylatexenc* y su instalación se puede hacer desde pip, con una instrucción similar a la que sigue (se debe descomentar si el lector la quiere instalar en su equipo)." ] }, { "cell_type": "code", "execution_count": 4, "id": "3f0a565c", "metadata": {}, "outputs": [], "source": [ "#!pip install pylatexenc" ] }, { "cell_type": "markdown", "id": "b93ac8eb-b716-424c-9f7d-55518280044f", "metadata": {}, "source": [ "Para irnos familiarizando con la construcción de circuitos, a continuación se muestra en código sencilla que crea un circuito cuántico muy sencillo, constituido por 8 qubits y que simplemente lo que hace es una medición de los mismos. Posteriormente con la tercera línea de código, se procede a mostrar el circuito. Se le añade initial_state=True para que se muestren los estados iniciales, y output='mpl' para obtener una salidad gráfica más estética, utilizando para ello el paquete matplotlib." ] }, { "cell_type": "code", "execution_count": 5, "id": "1c281587", "metadata": {}, "outputs": [ { "data": { "image/png": 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9+/ZIS0uDs7Mzxo8fj6lTp+LJJ5/E3r17OYc0Ce7u3bs4cOCA0DGIiIhIj0xuuEtjmirpAODp6dngMBkSXqdOnfDOO++gU6dOQkchIiIi0guW9HseVtJJvBwdHREVFSV0DCIiIiK9YUm/Jy0tzSCv4+HhAaVSaZDXMhV37tzBzz//jJCQENja2godh4iIiKjFOKCajF5+fj7mzJmD/Px8oaMQERER6QVLOhERERGRyLCkExERERGJDEs6EREREZHIsKST0ZNKpejevTukUqnQUYiIiIj0grO7kNHz9PTErl27hI5BREREpDc8k05EREREJDIs6WT0Lly4AH9/f1y4cEHoKERERER6wZJORk+pVKK6upo3iSIiIqJHBsekExmIlZUVSkpK9La/FYlbcbe0DO1lVoiZPl7jsT5YWVnpZT9ERESkHZZ0IgORSCSQyWR625+FpRQW1bWwsJRCJpNpPCYiIiLjxeEuREREREQiwzPpZPQ8PT2xZ88euLm5CR2FiIiISC9Y0snoSaVSeHt7Cx2DiIiISG843IWMXkFBARYsWICCggKhoxARERHpBUs6Gb3bt29j586duH37ttBRiIiIiPSCJZ2IiIiISGRY0omIiIiIRIYlnYiIiIhIZFjSyeg5Ojpi2rRpcHR0FDoKERERkV6wpJPRk0gksLCwgEQiEToKERERkV6wpJPR++uvv/DZZ5/hr7/+EjoKERERkV6wpBMRERERiQxLOhERERGRyLCkExERERGJDEs6GT1bW1tERETA1tZW6ChEREREetFW6ABELeXq6orly5cLHYOIiIhIb3gmnYxeZWUlrl69isrKSqGjEBEREekFSzoZvdzcXISHhyM3N1foKERERER6weEuRGQwSqUSZWVlQsfQipWVFW+URUREBseSTkQGU1ZWBmtra6FjaKWkpAQymUzoGEREZGI43IWIiIiISGRY0omIiIiIRIbDXcjo+fr64uLFi0LHICIiItIbnkknIiIiIhIZlnQyeleuXMH48eNx5coVoaMQERER6QVLOhm9srIynD171uim9iMiIiJqDEs6EREREZHIsKQTEREREYkMSzoRERERkciwpBtYXl4eJBIJBg8eLHSUR4aLiwsSEhLg4uIidBQiIiIivWBJF6HU1FSEh4fDwcEBVlZW8PPzQ3x8PKqqqoSOJkp2dnYYPXo07OzshI5CAmjTpg2srKxgbm6u9bZ2dnZ48cUXWyEVERFRy7Cki8yqVasQFhaG77//HjY2NujatSuys7MRFxeH0NBQlJeXCx1RdG7evInNmzfj5s2bQkchA+jbty/ee+897NmzBwUFBaipqUFpaSmqqqpw+/ZtpKWlYcWKFRg5ciTMzBr/FWdnZ4cDBw5gx44dmDZtmgGPgIiI6OFY0kXk1KlTiImJgUQiwaZNm5CXl4esrCxkZ2fDy8sLx48fx/z584WOKTqFhYVYvHgxCgsLhY5CraRt27aIjIzEyZMnkZGRgffffx8RERF4/PHH661na2uL0NBQvP3220hJScHvv/+OefPmoUOHDvXWUxX0wMBAAMA///lP2NjYGOx4iIiIHoYlXUQWLVoEpVKJyZMnIzIyUv28p6cnkpKSAABr1qzBjRs3NLY9evQo5HK5wbISGYqfnx9OnjyJTZs2oV+/fvWW3bp1C8ePH8cPP/yAI0eO4Pr16/WWu7u7Iz4+HhcuXMCYMWMAaBb0P//8E8888wyKi4sNc0BERETNYLIlvaioCLGxsfDy8oJUKoWbmxtmzZqF0tJSTJkyBRKJBJ9++qnB8hQXFyM1NRUAGvzqfdCgQfDx8UFVVRX27NmjsTwpKQmurq4YNWoUtm/fjsrKylbPTNTaYmJikJGRgT59+qify8rKwuuvvw5PT0/Y29tjwIABGDp0KJ5++ml07twZnTp1wgsvvICUlBQoFAoAgJOTE/7zn/9g27ZtOHjwYL2CHhoaiosXLwpyfERERI0xyZJ+5swZ+Pn5YcWKFZDL5ejRoweqq6vx8ccfY9y4cep/sHv37m2wTFlZWaiqqoKlpaW6QDxo4MCBAIATJ05oLAsMDIS1tTVSUlIwduxYODs7Y8aMGTh58mSr5iZqLR988AGWL18OCwsLAMC5c+fw1FNPoU+fPli3bh1+//33Bre7ceMGvv32W4waNQpeXl71PtSOHTsWffv2BcCCTkRE4mZyJb2oqAgRERGQy+WYO3cuCgsLkZmZCblcjoSEBKSkpCA9PR0SiQT+/v4Gy5WTkwOg7uv5tm3bNriOp6dnvXXvFx0dDblcjq1bt2LkyJEoLi7G2rVrERwcjG7duiE+Ph75+fmtdwACkslkGDBgAGQymdBRSE8WLVqEOXPmqB/Hx8ejb9+++Omnn7Taz5UrVzBmzBi8/vrrqK2tVT9fWVmJ4cOHs6ATEZFomVxJf+utt5Cfn4/o6GisXLmy3sVisbGx6NWrF2pqauDh4YH27dsbLNetW7cAQOMCt/uplqnWfZBUKsW4ceOQkpKCgoICrF69GgEBAbh06RLi4uLg7u6O4cOHY/PmzY/ULDEeHh5Yv349PDw8hI5CejB8+HAsWLBA/fi1115DXFyczlOQ2tnZ4fXXX0ebNm3Uz1laWuKll15qcVYiIqLWYlIl/eLFi9i2bRscHR0RHx/f4Dqqr8J79eqlfk5V6vv16wdLS0tIJBK9Z6uoqAAA9Vf7DbG0tASAZhXsjh07Yvbs2cjMzMS5c+cQGxsLZ2dnHDhwAJMmTYKTkxOmTp2KX375RT8HIKDa2lqUlJTUO1NKxql9+/ZYv369+vGcOXOwceNGnff34EWiN2/eRHV1NQBg/vz59ca6ExERiYlJlfQtW7ZAoVBg4sSJsLa2bnCddu3aAahf0nNzc7Fz5044OTkhKCioVbJJpVIAaPJsoepiUFXG5vL19UVCQgKuXbuGAwcOIDg4GHfv3kVSUhI2bNige2iRyM7ORlBQELKzs4WOQi30z3/+E25ubgCAAwcO4MMPP9R5Xw3N4jJw4EAsWrQIQN20juvWrWtxZiIiotbQ8ODnR1RaWhoAIDQ0tNF1VOO27y/pgwYNUs/B/f777+PYsWN6z/awoSz3L2tqSExjbty4gS1btiA5ORmnT58GUHfWXjXOXVuBgYGtNuVjVFSUVuur/r/Zt28fsrKymrXNpk2btEwlPs9Png2ZdXsUygvh6uqq8ViMVLOtNMTGxgZTpkwBAJSWlmLq1Kk6v05DBV11kWh8fDxefPFF9OrVC3369MHAgQObHOvu7e3d5E2RiIiIGuPk5ISMjAydtjWpkn716lUAdRdnNqSmpkZdwO8v6Yb4B9rHxwdAXcaampoGLx69fPlyvXUfpry8HLt370ZycjJSU1NRU1MDoG5IT1RUFCZMmAAHBwed8srlchQUFOi07cOUlZVptb5qqFBFRUWzt22t7IakuDe8R1Fbi4KCAo3HxmbSpEnqa0SSk5Nx7do1nfbTVEEH6v6eL1++HJs3bwYAzJw5s8mSzptkERGREEyqpJeWlgJofEz3tm3bUFRUBBsbGzzxxBOGjIaAgABYWFigsrISGRkZCA4O1lhHVST69+/f6H4UCgUOHz6M5ORk7NixQ32DFmdnZ0yaNAmRkZHw9fVtcV4nJ6cW76MxVlZWWq2vGioklUqbva2Li4vWucTG7N6FkGZt2sDFxUXjsRgpFIpGS++rr76q/vOaNWt02v/DCrrKjh078OGHH+Kxxx7DSy+9hKlTpzb6Ac/Z2Zln0omISCct6UsmVdKdnJxw69YtZGZmIiQkpN6ywsJCxMTEAAD8/f1b5eLQptjY2GDYsGFISUnBunXrNEr6kSNHkJOTAwsLC/WdE++Xk5ODDRs2YPPmzeohO6rZXiIjIzF8+PB6s1u0lK5f3TSHtmPLz58/jw0bNmDkyJHN/gCyePFiXaKJytLPNuNuSSmcnZyRn5+v8ViMSktLG7wexNzcHAEBAQDqfpZ1uaC5uQUdqLv2Y/fu3Zg6dSrMzc3Rq1cv/Pzzzw3u97fffuP0nkREZHAmdXpo6NChAICEhIR6c42np6cjNDQURUVFAAx7E6P7LViwABKJBBs3bsSXX36pfv7y5cvqsbrTp09Hx44dNbZdunQpEhISkJ+fj5CQEKxduxaFhYXYunUrRowYodeCLjY+Pj44duxYs4cBkfj4+vqqZy9KT0/XenttCrrK/R80VbM6ERERiYVJlfTY2Fg4ODjg+vXr8PX1hZ+fH7y9vdGvXz906dIFQ4YMAVB/PLohBQcHY9myZVAqlYiKioKHhwcCAgLQrVs35Obmon///li2bFmD27q5uSEuLg45OTk4fvw4pk+fDjs7O8MegEDMzc1hb28Pc3NzoaOQju7/BqS5F/+q6FLQH3wdfQwBIyIi0ieTKumurq44evQonn32WUilUuTl5cHe3h6JiYlISUlRn10XqqQDdR8k9u/fj2HDhuHOnTvIzs6Gj48PlixZgsOHDzc65nrRokVYsmQJvL29DZxYeNeuXcPMmTN1vtCQhGdubq6+APh///tfs7fTtaDf/zpVVVWP9DdNRERknExqTDoAdO/eHXv37tV4vqSkBHl5eTAzM0PPnj0FSPb/hYWFISwsTNAMxqS4uBiHDh3Cm2++KXQU0tGmTZuwadMmSCQSra4Hqa2tVd+cSJuCDtQNI2vTpk2T00ISEREJxeRKemPOnz8PpVIJHx+fBs9W79ixAwBw4cKFeo89PDzUZ/GIqGWUSiWUSmWz1y8uLkZYWBi++uorxMXFNbugq7CgExGRWLGk3/Prr78CaHyoy9/+9rcGH0dGRj4SN8YhMlbFxcV4/vnnhY5BRESkVyzp9zyspGtzdo+IiIiIqCVM6sLRpjyspJN4derUCe+88w46deokdBQiIiIiveCZ9HvS0tIM8joeHh48K69njo6OiIqKEjoGERERkd7wTDoZvTt37mD//v24c+eO0FGIiIiI9IIlnYxefn4+5syZg/z8fKGjEBEREekFSzoRERERkciwpBMRERERiQxLOhERERGRyLCkk9GTSqXo3r07pFKp0FGIiIiI9IJTMJLR8/T0xK5du4SOQURERKQ3PJNORERERCQyLOlk9C5cuAB/f39cuHBB6ChEREREesGSTkZPqVSiurqad3IlIiKiRwbHpBORwVhZWaGkpERv+1uRuBV3S8vQXmaFmOnjNR7rg5WVlV72Q0REpA2WdCIyGIlEAplMprf9WVhKYVFdCwtLKWQymcZjIiIiY8XhLkREREREIsMz6WT0PD09sWfPHri5uQkdhYiIiEgvWNLJ6EmlUnh7ewsdg4iIiEhvONyFjF5BQQEWLFiAgoICoaMQERER6QVLOhm927dvY+fOnbh9+7bQUYiIiIj0giWdiIiIiEhkWNKJiIiIiESGJZ2IiIiISGRY0snomZmZISgoCGZm/HEmIiKiRwNbDRk9hUKB9PR0KBQKoaMQERER6QVLOhERERGRyLCkExERERGJDEs6EREREZHIsKST0bO1tUVERARsbW2FjkJERESkF22FDkDUUq6urli+fLnQMYiIiIj0hmfSyehVVlbi6tWrqKysFDoKERERkV6wpJPRy83NRXh4OHJzc4WOQkRERKQXHO5CRGQgSqUSZWVlQsfQipWVFSQSidAxiIhMDks6EZGBlJWVwdraWugYWikpKYFMJhM6BhGRyeFwFyIiIiIikWFJJyIiIiISGQ53IaPn6+uLixcvCh2DiIiISG94Jp2IiIiISGRY0snoXblyBePHj8eVK1eEjkJERESkFyzpZPTKyspw9uxZo5vajoiIiKgxLOlERERERCLDkk5EREREJDIs6UREREREIsOSTkbPxcUFCQkJcHFxEToKERERkV6wpBtYXl4eJBIJBg8eLHSUR4adnR1Gjx4NOzs7oaMQGR1bW1uhIxARUQN4MyMRSk1NxQcffID09HSUl5fD09MTL7/8MubOnQsLCwuh44nOzZs38d1332HEiBGwt7cXOg5Rq7O2tkZAQAD69u0LX19fWFtbAwBKS0tx7tw5nD59GllZWSgpKWlyP35+fjh48CAWLlyIL774whDRiYiomVjSRWbVqlV4++23AQDu7u7o3Lkzzp07h7i4OOzduxcHDx5Eu3btBE4pLoWFhVi8eDF69+7Nkk6PtKeffhozZ87E888/D3Nz8ybXra6uxrfffovPP/8chw8f1lju5+eHtLQ0ODo6IjExEUVFRdi1a1drRSciIi1xuIuInDp1CjExMZBIJNi0aRPy8vKQlZWF7OxseHl54fjx45g/f77QMYnIwPr27YusrCz8+OOPGDt27EMLOgCYm5tj7Nix+PHHH5GVlYW+ffuql91f0AHg559/xoEDB1otPxERaY8lXUQWLVoEpVKJyZMnIzIyUv28p6cnkpKSAABr1qzBjRs3NLY9evQo5HK5wbISUeuzsLDA4sWLceLECfTu3Vv9vFwuR2JiIqZNm4bAwEB4eHjAw8MDgYGBmDZtGtauXVvv90Hv3r1x4sQJLF68GH369NEo6GFhYSguLjb04RERURNMtqQXFRUhNjYWXl5ekEqlcHNzw6xZs1BaWoopU6ZAIpHg008/NVie4uJipKamAgCmTZumsXzQoEHw8fFBVVUV9uzZo7E8KSkJrq6uGDVqFLZv347KyspWz0xErUcmkyElJQXvvvsu2ratG5l45swZjB8/Hp07d8Ybb7yB9evX4/Tp07h69SquXr2K06dPY/369ZgxYwY6d+6M8ePH48yZMwCAtm3b4t1338XPP//Mgk5EZARMsqSfOXMGfn5+WLFiBeRyOXr06IHq6mp8/PHHGDduHC5evAgA9c5ctbasrCxUVVXB0tISgYGBDa4zcOBAAMCJEyc0lgUGBsLa2hopKSkYO3YsnJ2dMWPGDJw8ebJVc4uBTCbDgAEDIJPJhI5CpBdSqRQpKSkYOnQoAKCqqgoLFy5EUFAQtm3bhurq6ofuo7q6Gtu2bUNQUBAWLlyo3kZ18fnJkydZ0ImIRMzkSnpRUREiIiIgl8sxd+5cFBYWIjMzE3K5HAkJCUhJSUF6ejokEgn8/f0NlisnJwdA3cWiqrNmD/L09Ky37v2io6Mhl8uxdetWjBw5EsXFxVi7di2Cg4PRrVs3xMfHIz8/v/UOQEAeHh5Yv349PDw8hI5CpBdffPEFnn76aQDArVu3MHjwYCxevBg1NTVa76umpga7d+9GaWlpved///13FnQiIhEzuZL+1ltvIT8/H9HR0Vi5ciVsbGzUy2JjY9GrVy/U1NTAw8MD7du3N1iuW7duAQA6dOjQ6DqqZap1HySVSjFu3DikpKSgoKAAq1evRkBAAC5duoS4uDi4u7tj+PDh2Lx5M8rLy/V/EAKpra1FSUkJamtrhY5C1GKjR4/GK6+8AqBuGNzw4cPx888/67w/1UWiqvsIqP6eTJgwARERES3OS0RErcOkSvrFixexbds2ODo6Ij4+vsF1VDMg9OrVS/3cjh078OKLL8Ld3R1WVlbo1q0b3n333YfOQayNiooKAGhyHnRLS0sAaFbB7tixI2bPno3MzEycO3cOsbGxcHZ2xoEDBzBp0iQ4OTlh6tSp+OWXX/RzAALKzs5GUFAQsrOzhY5C1CJ2dnZITExUP37zzTeRkZGh8/4amsVlxowZ6uWJiYm8CRgRkUiZ1DzpW7ZsgUKhwMSJE9U3/3iQag7y+0v6ypUr0blzZyxduhSurq44c+YM/vnPf+Lw4cM4cuQIzMxa/llHKpUCqBt72hjVxaDazpPu6+uLhIQExMfHIy0tDQsXLsSJEyeQlJQEa2trfPjhh1rnDQwMbLXZZKKiorRav7CwEACwb98+ZGVlNWubTZs2aZlKfJ6fPBsy6/YolBfC1dVV47EpMLb3QKFQNLn89ddfh5OTEwDgv//9L5KTk3V+rYYKumoMekREBCIiIuDs7Ixp06ZhxYoVje7H29tbL7/jiIhMkZOTk84nW0yqpKelpQEAQkNDG11HNW77/pL+3//+F4899pj68dNPP43HHnsMEydOxE8//YRBgwa1ONvDhrLcv6ypITGNuXHjBrZs2YLk5GScPn0aQN1Ze9U4d23J5XIUFBTotO3DlJWVabW+6luIioqKZm/bWtkNSXFv2IKithYFBQUaj03Bo/QemJmZ4Y033lA/njNnjs77aqqgq/atGuryxhtvYNWqVY1+gFB9CCYiIsMyqZJ+9epVAHUXZzakpqYGx44dA1C/pN9f0FVUM7Doqwj4+PioM9bU1DR48ejly5frrfsw5eXl2L17N5KTk5Gamqq+6Kxv376IiorChAkT4ODgoFNe1dm+1mBlZaXV+qpvIaRSabO3dXFx0TqX2Ji1aaP+XxcXF43HpsDY3gOFQtFo6R0+fDieeOIJAMB3332n/vuurYcVdKDud8n+/fsRHh6OLl26YNiwYfj+++8b3J+zszPPpBMR6aglfcmkSrpqdoPGxnRv27YNRUVFsLGxUf9j2ZhDhw4BALp3766XbAEBAbCwsEBlZSUyMjIQHByssc5PP/0EAOjfv3+j+1EoFDh8+DCSk5OxY8cO9T/Mzs7OmDRpEiIjI+Hr69vivC0ZJ/sw2o4tP3/+PDZs2ICRI0c2+9gWL16sSzRRWfrZZtwtKYWzkzPy8/M1HpsCY3sPSktLGx1qN3jwYPWfVTcv01ZzCvr9rxEeHq5+7cZK+m+//cbpTYmIBGBSJd3JyQm3bt1CZmYmQkJC6i0rLCxETEwMAMDf3x8SiaTR/RQUFGDhwoUIDw/X21zqNjY2GDZsGFJSUrBu3TqNkn7kyBHk5OTAwsICY8aM0dg+JycHGzZswObNm9XlRDXbS2RkJIYPH442984yPmp8fHxw7NixejP1EBkb1UXrAHD8+HGtt9emoD/4Go3dm4GIiIRjUt9hqm4MkpCQUG+u8fT0dISGhqKoqAhA0zcxKikpwZgxY2BhYYENGzboNd+CBQsgkUiwceNGfPnll+rnL1++jClTpgAApk+fjo4dO2psu3TpUiQkJCA/Px8hISFYu3YtCgsLsXXrVowYMeKRLegAYG5uDnt7e5ibmwsdhUhnffr0AQD88ccfWo8D17agP/g6qtcmIiLxMKmSHhsbCwcHB1y/fh2+vr7w8/ODt7c3+vXrhy5dumDIkCEA6o9Hv195eTkiIiJw5coVpKamwtnZWa/5goODsWzZMiiVSkRFRcHDwwMBAQHo1q0bcnNz0b9/fyxbtqzBbd3c3BAXF4ecnBwcP34c06dPN5mp1a5du4aZM2fi2rVrQkch0omZmRns7e0BAHl5eVptq0tBV7ly5QoAwN7enuPOiYhExqSGu7i6uuLo0aOIiYnB4cOHkZeXhx49eiAxMRHTpk1Tz3TSUEmvrq7GSy+9hIyMDPzwww/o0aNHq2RU3VBp1apVSE9Px59//gkfHx9MnDgRc+fOVc+V/qBFixa1Sh5jUFxcjEOHDuHNN98UOgqRzsaOHQupVIqbN29qtd2SJUt0KugAEB8fjw4dOqhnSCIiIvEwqZIO1F3ouXfvXo3nS0pKkJeXBzMzM/Ts2bPeMtXc6j/88AP27duHfv36tWrGsLAwhIWFteprEJF4KBQKbN++XadtJ02ahP379wOAVgUdQIO/C4mISBxMrqQ35vz581AqlfDx8dGYxu/NN9/E9u3bMW/ePFhZWeHEiRPqZZ6eng1O0UhEZAh3795Vf6jXpqATEZG4saTf8+uvvwJoeKjLd999BwBYtmyZxpjwjRs3an2HTCIifWI5JyJ69LCk39NUSdf2Qi4yrE6dOuGdd95Bp06dhI5CREREpBcs6fc0VdJJ3BwdHfltBhERET1SWNLvSUtLM8jreHh4QKlUGuS1TMWdO3fw888/IyQkBLa2tkLHISIiImoxToxLRi8/Px9z5swR5W3giYiIiHTBkk5EREREJDIs6UREREREIsOSTkREREQkMizpZPSkUim6d+8OqVQqdBQiIiIiveDsLmT0PD09sWvXLqFjEBEREekNz6QTEREREYkMSzoZvQsXLsDf3x8XLlwQOgoRERGRXrCkk9FTKpWorq7mTaKIiIjokcEx6UREBmJlZYWSkhK97W9F4lbcLS1De5kVYqaP13isD1ZWVnrZDxERaYclnYjIQCQSCWQymd72Z2EphUV1LSwspZDJZBqPiYjIeHG4CxERERGRyPBMOhk9T09P7NmzB25ubkJHISIiItILlnQyelKpFN7e3kLHICIiItIbDncho1dQUIAFCxagoKBA6ChEREREesGSTkbv9u3b2LlzJ27fvi10FCIiIiK9YEknIiIiIhIZlnQiIiIiIpFhSSciIiIiEhmWdDJ6ZmZmCAoKgpkZf5yJiIjo0cBWQ0ZPoVAgPT0dCoVC6ChEREREesGSTkREREQkMizpREREREQiw5JORERERCQyLOlk9GxtbREREQFbW1uhoxARERHpRVuhAxC1lKurK5YvXy50DCIiIiK94Zl0MnqVlZW4evUqKisrhY5CREREpBcs6WT0cnNzER4ejtzcXKGjEBEREekFSzoRERERkchwTDoRERmEUqlEWVmZ0DG0YmVlBYlEInQMIjJBLOlERGQQZWVlsLa2FjqGVkpKSiCTyYSOQUQmiMNdiIiIiIhEhmfSyej5+vri4sWLQscgIiIi0hueSSciIiIiEhmWdDJ6V65cwfjx43HlyhWhoxARERHpBUs6Gb2ysjKcPXvW6GaNICIiImoMSzoRERERkciwpBMRERERiQxLOhERERGRyLCkk9FzcXFBQkICXFxchI5CREREpBcs6QaWl5cHiUSCwYMHCx3lkWFnZ4fRo0fDzs5O6ChEREREesGSLkKpqakIDw+Hg4MDrKys4Ofnh/j4eFRVVQkdTZRu3ryJzZs34+bNm0JHISIDatu2Lfz9/TFkyBCEh4cjNDQUnp6eWu1jwoQJmDZtWislJCLSHe84KjKrVq3C22+/DQBwd3dH586dce7cOcTFxWHv3r04ePAg2rVrJ3BKcSksLMTixYvRu3dv2NvbCx2HiFpRly5dMG3aNISGhqJXr16QSqUa69y6dQuZmZnYu3cvNm3ahNu3bze4rwkTJiA5ORlt2rQBAKxbt641oxMRaYVn0kXk1KlTiImJgUQiwaZNm5CXl4esrCxkZ2fDy8sLx48fx/z584WOSURkcMHBwUhJScFvv/2GefPmoX///g0WdADo0KEDnnnmGaxevRoFBQVYv3493Nzc6q3zYEHv1atXqx8DEZE2WNJFZNGiRVAqlZg8eTIiIyPVz3t6eiIpKQkAsGbNGty4cUNj26NHj0IulxssKxGRIbRr1w4rV67EsWPHMHLkSJiZ/f9/ti5duoR///vfWLJkCd5//30kJCRgz549+OOPP9TrWFlZYcqUKTh37hymTJkCQLOgf/755/j73/9u2AMjInoIky3pRUVFiI2NhZeXF6RSKdzc3DBr1iyUlpZiypQpkEgk+PTTTw2Wp7i4GKmpqQDQ4PjIQYMGwcfHB1VVVdizZ4/G8qSkJLi6umLUqFHYvn07KisrWz0zEVFr8vDwQGZmJubOnasu53l5eZg3bx46duyIbt26YeLEiViwYAH++c9/Yt68eRgzZgxcXFzQvXt3fPTRR7hz5w4AoH379li/fj0yMjI0Cnp0dDSUSqVgx0lE1BCTLOlnzpyBn58fVqxYAblcjh49eqC6uhoff/wxxo0bh4sXLwIAevfubbBMWVlZqKqqgqWlJQIDAxtcZ+DAgQCAEydOaCwLDAyEtbU1UlJSMHbsWDg7O2PGjBk4efJkq+YWA5lMhgEDBkAmkwkdhYj0xMvLCz/99BO6desGAKioqMDbb78NLy8vJCQk4K+//mpy++zsbMyePRvu7u7qbyIBoG/fvizoRGQUTK6kFxUVISIiAnK5HHPnzkVhYSEyMzMhl8uRkJCAlJQUpKenQyKRwN/f32C5cnJyANRdLNq2bcPX86pmLVCte7/o6GjI5XJs3boVI0eORHFxMdauXYvg4GB069YN8fHxyM/Pb70DEJCHhwfWr18PDw8PoaMQkR489thjOHDggPreBxcuXEDv3r2xatUq1NbWarWvO3fuYOrUqVi+fHm9Mn716lX8/e9/Z0EnItEyuZL+1ltvIT8/H9HR0Vi5ciVsbGzUy2JjY9GrVy/U1NTAw8MD7du3N1iuW7duAai74KkxqmWqdR8klUoxbtw4pKSkoKCgAKtXr0ZAQAAuXbqEuLg4uLu7Y/jw4di8eTPKy8v1fxACqa2tRUlJidb/eBOROH3++efqD92//PILBg0ahEuXLum8vwkTJmDu3LmQSCTq59zd3REdHd3SqERErcakSvrFixexbds2ODo6Ij4+vsF1+vbtC6D+lf5Hjx7F0KFD4ezsDEtLS7i6utYbFqMPFRUVAAALC4tG17G0tASAZhXsjh07Yvbs2cjMzMS5c+cQGxsLZ2dnHDhwAJMmTYKTkxOmTp2KX375RT8HIKDs7GwEBQUhOztb6ChE1EJjx47FSy+9BAD466+/EBYWhv/973867+/Bi0R3796tXhYfHw8vL6+WBSYiaiUmNU/6li1boFAoMHHiRFhbWze4jmoO8vtL+q1bt+Dn54fp06ejY8eOyM/PR3x8PEJCQnDu3Dm4urq2OJtqKrGmblikuhhU23nSfX19kZCQgPj4eKSlpWHhwoU4ceIEkpKSYG1tjQ8//FDrvIGBga02m0xUVJRW6xcWFgIA9u3bh6ysrGZts2nTJi1Tic/zk2dDZt0ehfJCuLq6ajw2Bab+Hhjb8SsUiiaXm5ub1/t99Oabb7bo90xDs7hER0fjo48+wt///ndYWVlh+fLleOGFFxrdh7e3d70ZZYiItOHk5ISMjAydtjWpkp6WlgYACA0NbXQd1bjt+0v66NGjMXr06HrrBQUFoWvXrti5cydmzZrV4mwPG8py/7KmhsQ05saNG9iyZQuSk5Nx+vRpAHVn7bW9O5+KXC5HQUGBTts+TFlZmVbrq76FqKioaPa2rZXdkBT3hvcoamtRUFCg8dgUmPp78Kgd//PPPw9nZ2cAwN69e7F9+3ad99VYQVcqlZg3bx5eeOEFuLi4YPTo0XBzc8P169cb3I/qJAARkaGZVEm/evUqgLqxiA2pqanBsWPHADz8xhYODg4A0OhFntry8fFRZ6ypqWlwv5cvX6637sOUl5dj9+7dSE5ORmpqKmpqagDUDemJiorChAkT1MehLScnJ522aw4rKyut1ld9CyGVSpu9reqCNGNmdq98mLVpAxcXF43HpsDU3wNjO36FQtFk6Z05c6b6z6tWrdL5dZoq6EDdiYDExET861//Qps2bfD6669j4cKFDe7L2dmZZ9KJSGct6UsmVdJLS0sBND6me9u2bSgqKoKNjQ2eeOIJjeW1tbVQKBS4evUq5s+fDycnJ4wdO1Yv2QICAmBhYYHKykpkZGQgODhYY52ffvoJANC/f/9G96NQKHD48GEkJydjx44dKC4uBlD3D82kSZMQGRkJX1/fFufV9aub5tB2bPn58+exYcMGjBw5stnHtnjxYl2iicrSzzbjbkkpnJ2ckZ+fr/HYFJj6e2Bsx19aWtroUEMHBwc8/fTTAOquH/rxxx91eo2HFXSV9evX4x//+Afatm2LF198sdGS/ttvv3F6VyIShEmdHlB9msnMzNRYVlhYiJiYGACAv79/vVkAVJ5++mlYWFjA29sbZ86cQVpaGh577DG9ZLOxscGwYcMAAOvWrdNYfuTIEeTk5MDCwgJjxozRWJ6Tk4N58+bB3d0dQ4YMwcaNG1FdXY1x48Zh3759uH79OpYvX66Xgi42Pj4+OHbsWLO/YSAi8VFdtA8A+/fv12kfzS3oQN3v/LNnzwIAunbt2uiHByIioZhUSR86dCgAICEhod5c4+np6QgNDUVRURGAxm9ilJSUhBMnTmDLli1o3749hg8fjmvXrukt34IFCyCRSLBx40Z8+eWX6ucvX76svp216uLVBy1duhQJCQnIz89HSEgI1q5di8LCQmzduhUjRoxQ/6P1KDI3N4e9vT3Mzc2FjkJEOrq/pKuum9GGNgX9wdcxMzMz6M3riIiaw6RKemxsLBwcHHD9+nX4+vrCz88P3t7e6NevH7p06YIhQ4YAaHw8eteuXdG/f3+MHz8eP/zwA4qLi7F8+XK95QsODsayZcugVCoRFRUFDw8PBAQEoFu3bsjNzUX//v2xbNmyBrd1c3NDXFwccnJycPz4cUyfPh12dnZ6yyZm165dw8yZM/X6gYmIDOv+qRB//fVXrbbVpaA/+Dq6XkRPRNRaTKqku7q64ujRo3j22WchlUqRl5cHe3t7JCYmIiUlRX12/WEXjQKAnZ0dvLy8kJubq9eMsbGx2L9/P4YNG4Y7d+4gOzsbPj4+WLJkCQ4fPtzohZGLFi3CkiVL4O3trdc8xqC4uBiHDh1Sj78nIuNz8eJF/PDDDzh27JhW86KHh4frVNAB4MqVKzh69CgOHDiAP//8U+fsREStwaQuHAWA7t27Y+/evRrPl5SUIC8vD2ZmZujZs+dD93Pjxg1cunSpyYs4dRUWFoawsDC975eISKxWrlyJlStXar3dsWPHcOrUKYSEhGhV0AEgJSUFKSkpWr8mEZEhmFxJb8z58+ehVCrh4+OjcbZ60qRJ8PLyQu/evWFnZ4fffvsNq1evRtu2bTFnzhyBEhMRUXFxMcLCwjBt2jSsXr262QWdiEjsWNLvUY1NbGioS3BwML766it89NFHqKiogJubG0JDQxEXF9fonOtERGQYxcXF+OCDD4SOQUSkVyzp9zRV0qOjoxEdHW3oSNRMnTp1wjvvvINOnToJHYWIiIhIL1jS72mqpJO4OTo6IioqSugYRERERHrDkn5PWlqaQV7Hw8ODYyb17M6dO/j5558REhICW1tboeMQERERtZhJTcFIj6b8/HzMmTNHlLdBJyIiItIFSzoRERERkciwpBMRERERiQxLOhERERGRyLCkk9GTSqXo3r07pFKp0FGIiIiI9IKzu5DR8/T0xK5du4SOQURERKQ3PJNORERERCQyLOlk9C5cuAB/f39cuHBB6ChEREREesGSTkZPqVSiurqaN4kiIiKiRwbHpBMRkUFYWVmhpKREb/tbkbgVd0vL0F5mhZjp4zUe64OVlZVe9kNEpC2WdCIiMgiJRAKZTKa3/VlYSmFRXQsLSylkMpnGYyIiY8bhLkREREREIsMz6WT0PD09sWfPHri5uQkdhYiIiEgvWNLJ6EmlUnh7ewsdg4iIiEhvONyFjF5BQQEWLFiAgoICoaMQERER6QVLOhm927dvY+fOnbh9+7bQUYiIiIj0giWdiIiIiEhkWNKJiIiIiESGJZ2IiIiISGRY0snoOTo6Ytq0aXB0dBQ6ChEREZFesKST0ZNIJLCwsIBEIhE6ChEREZFesKST0fvrr7/w2Wef4a+//hI6ChEREZFesKQTEREREYkMSzoRERERkciwpBMRERERiQxLOhk9W1tbREREwNbWVugoRERERHrRVugARC3l6uqK5cuXCx2DiIiISG94Jp2MXmVlJa5evYrKykqhoxARERHpBUs6Gb3c3FyEh4cjNzdX6ChEREREesHhLkRERAaiVCpRVlYmdAytWFlZ8WZxRAJgSSciIjKQsrIyWFtbCx1DKyUlJZDJZELHIDI5HO5CRERERCQyLOlERERERCLD4S5k9Hx9fXHx4kWhYxARERHpDc+kExERERGJDEs6Gb0rV65g/PjxuHLlitBRiIiIiPSCJZ2MXllZGc6ePWt005oRERERNYYlnYiIiIhIZFjSiYiIiIhEhiWdiIiIiEhkWNLJ6Lm4uCAhIQEuLi5CRyEiIiLSC5Z0A8vLy4NEIsHgwYOFjvLIsLOzw+jRo2FnZyd0FCIiozNgwAChIxBRA1jSRSg1NRXh4eFwcHCAlZUV/Pz8EB8fj6qqKqGjidLNmzexefNm3Lx5U+goREStzsbGBi+88AKWLl2K77//HpcvX8Yff/yBa9eu4ezZs/jyyy/x1ltvoU+fPg/d1yeffIKffvoJ06ZNM0ByItIG7zgqMqtWrcLbb78NAHB3d0fnzp1x7tw5xMXFYe/evTh48CDatWsncEpxKSwsxOLFi9G7d2/Y29sLHYeIqFX07NkTM2bMwCuvvAIbG5sG13Fzc4O/vz9effVVAEBmZiY+//xzbNmyRWOa2k8++QTR0dEAgM8//xxpaWm4fPly6x4EETUbz6SLyKlTpxATEwOJRIJNmzYhLy8PWVlZyM7OhpeXF44fP4758+cLHZOIiAxIJpPhs88+w6+//oqZM2dqFPRbt27h2rVrKCgoQHV1db1lffr0wfr163Hx4kUMGzZM/fz9BV2hUGDy5Mks6EQiw5IuIosWLYJSqcTkyZMRGRmpft7T0xNJSUkAgDVr1uDGjRsa2x49ehRyudxgWYmIqPUNGDBAXc5VSkpKsHbtWowZMwYuLi6wt7eHu7s7XF1dYW1tjcDAQLz55ps4deqUepvOnTsjNTUViYmJWLNmTb2CHhkZia+//trgx0ZETTPZkl5UVITY2Fh4eXlBKpXCzc0Ns2bNQmlpKaZMmQKJRIJPP/3UYHmKi4uRmpoKAA2ODRw0aBB8fHxQVVWFPXv2aCxPSkqCq6srRo0ahe3bt6OysrLVMxMRUeuJiIjAwYMH8cQTTwAASktLERMTg8cffxwzZszAnj178Mcff9TbpqqqCqdPn8bnn3+O/v37IygoCGlpaerlr7/+Ot544w0ALOhEYmeSJf3MmTPw8/PDihUrIJfL0aNHD1RXV+Pjjz/GuHHjcPHiRQBA7969DZYpKysLVVVVsLS0RGBgYIPrDBw4EABw4sQJjWWBgYGwtrZGSkoKxo4dC2dnZ8yYMQMnT55s1dxiIJPJMGDAAMhkMqGjEBHpxbBhw7Bjxw5IpVIAwJEjR+Dv74+VK1eiuLi42fvJyMjA0KFDMWPGjHpDYZRKJaZOncqCTiRiJlfSi4qKEBERAblcjrlz56KwsBCZmZmQy+VISEhASkoK0tPTIZFI4O/vb7BcOTk5AOouFm3btuHreT09Peute7/o6GjI5XJs3boVI0eORHFxMdauXYvg4GB069YN8fHxyM/Pb70DEJCHhwfWr18PDw8PoaMQEbXY448/jm+++QYWFhYAgM2bN+OZZ57B77//rtP+lEolfH19YW5urn5OIpHAz89PL3mJqHWYXEl/6623kJ+fj+joaKxcubLeBTixsbHo1asXampq4OHhgfbt2xss161btwAAHTp0aHQd1TLVug+SSqUYN24cUlJSUFBQgNWrVyMgIACXLl1CXFwc3N3dMXz4cGzevBnl5eX6PwiB1NbWoqSkBLW1tUJHISJqsS+++EJ934f//Oc/iIyMRE1Njc77e/AiUdV0vrNmzVJ/Q0tE4mNSJf3ixYvYtm0bHB0dER8f3+A6ffv2BQD06tWr0f2MGDECEokE77//vt6yVVRUAID6zElDLC0tAaBZBbtjx46YPXs2MjMzce7cOcTGxsLZ2RkHDhzApEmT4OTkhKlTp+KXX37RzwEIKDs7G0FBQcjOzhY6ChFRi4wfPx7PPvssgLrpZV977bUWnYB4sKBHRkZi3rx5AAAzMzNs2LCh0W9viUhYJvU3c8uWLVAoFJg4cSKsra0bXEc1B3ljJf2bb77BmTNn9J5NNe6wqRsWqS4G1XaedF9fXyQkJCA+Ph5paWlYuHAhTpw4gaSkJFhbW+PDDz/UOm9gYGCrzSYTFRWl1fqFhYUAgH379iErK6tZ22zatEnLVOLz/OTZkFm3R6G8EK6urhqPTYGpvwc8fuM7foVC0eTymJgY9Z+nT5/e6DenzdFQQf/6669hZmaGl156CU8++SS8vb0RERGBb7/9ttH9eHt7w8zMpM7pEemNk5MTMjIydNrWpEq66gr30NDQRtdRjdtuqKTfvXsXs2fPxsqVKzFp0iS9ZnvYUJb7lzU1JKYxN27cwJYtW5CcnIzTp08DqDtrrxrnri25XI6CggKdtn2YB2+48TCqbyEqKiqavW1rZTckxb2za4raWhQUFGg8NgWm/h7w+B+t4+/Xr5/6LqGnTp3Cf//7X5331VhBVz1+7733cODAAQDAzJkzmyzpqhMhRGRYJlXSr169CqDu4syG1NTU4NixYwAaLunvvvsufHx8MHHiRL2XdB8fH3XGmpqaBr9+VN1oQrXuw5SXl2P37t1ITk5Gamqqekxj3759ERUVhQkTJsDBwUGnvE5OTjpt1xxWVlZara/6FkIqlTZ7WxcXF61ziY1Zmzbq/3VxcdF4bApM/T3g8Rvf8SsUikZL72uvvab+85o1a3R+jaYKusoPP/yA3377Dd7e3hg6dCjc3d3V/0Y+yNnZmWfSiXTUkr5kUiW9tLQUQONjurdt24aioiLY2Nio56VVycjIwLp169RnofUtICAAFhYWqKysREZGBoKDgzXW+emnnwAA/fv3b3Q/CoUChw8fRnJyMnbs2KGeqsvZ2RmTJk1CZGQkfH19W5xX169umkPbseXnz5/Hhg0bMHLkyGYf2+LFi3WJJipLP9uMuyWlcHZyRn5+vsZjU2Dq7wGP3/iOv7S0tNHhliEhIQDqThh98803Ou2/OQUdqJvx5d///jfee+89AEBwcHCjJf23337jFLdEAjCpj8aqTzOZmZkaywoLC9VjAf39/SGRSNTLamtrMX36dERHR+ul4DbExsZGfcvmdevWaSw/cuQIcnJyYGFhgTFjxmgsz8nJwbx58+Du7o4hQ4Zg48aNqK6uxrhx47Bv3z5cv34dy5cvb7X8QvLx8cGxY8ea/Q0DEZHYSKVS9OjRAwBw7tw5rYf9Ac0v6Cr335FUNWkCEYmHSZX0oUOHAgASEhLqzTWenp6O0NBQFBUVAdC8idGnn36KP//8U6+zuTRkwYIFkEgk2LhxI7788kv185cvX8aUKVMA1F1I1LFjR41tly5dioSEBOTn5yMkJARr165FYWEhtm7dihEjRqDNva+BH0Xm5uawt7evNwcwEZEx6dGjh3qYY0Mnkh5G24IOoN43w03NaEZEwjCpkh4bGwsHBwdcv34dvr6+8PPzg7e3N/r164cuXbpgyJAhAOr/sioqKsLChQvxj3/8AzU1Nbh9+zZu374NoO5Cxdu3bz/0av3mCg4OxrJly6BUKhEVFQUPDw8EBASgW7duyM3NRf/+/bFs2bIGt3Vzc0NcXBxycnJw/PhxTJ8+XT3P7qPu2rVrmDlzJq5duyZ0FCIindja2qr/rO3MWboUdKBuQgGV++8ZQkTiYFIl3dXVFUePHsWzzz4LqVSKvLw82NvbIzExESkpKeqz6/eX9Pz8fBQXF2P69Ono0KGD+j+g7ox8hw4d9FoOY2NjsX//fgwbNgx37txBdnY2fHx8sGTJEhw+fLjRCyMXLVqEJUuWwNvbW29ZjEVxcTEOHTqk1a2yiYjE5NixY3BxcYGnpydWr17d7O3atWunHqqiTUEH6sald+3aFe7u7oiIiNApNxG1HpO6cBQAunfvjr1792o8X1JSgry8PJiZmaFnz57q5728vHDo0CGN9UNDQxEZGYmoqCi9z3QSFhaGsLAwve6TiIjEq6qqCn/88YfW25WXlyMsLAz79u1DYmJiswu6yv1DP4lIXEyupDfm/PnzUCqV8PHxqXe22traGoMHD25wGw8Pj0aXERERGUJxcTGefvppvQ29JCJxMKnhLk359ddfAfDiGSIiMj4s6ESPHp5Jv0fbkq5UKlszDmmhU6dOeOedd9CpUyehoxARERHpBUv6PTyTbrwcHR0RFRUldAwiIiIivWFJvyctLc0gr+Ph4cGz8Hp2584d/PzzzwgJCak3jRkRERGRseKYdDJ6+fn5mDNnjmhvA05ERESkLZZ0IiIiIiKRYUknIiIiIhIZlnQiIiIiIpFhSSejJ5VK0b17d0ilUqGjEBEREekFZ3cho+fp6Yldu3YJHYOIiIhIb3gmnYiIiIhIZFjSyehduHAB/v7+uHDhgtBRiIiIiPSCJZ2MnlKpRHV1NW8SRURERI8MjkknIiIyECsrK5SUlOhtfysSt+JuaRnay6wQM328xmN9sLKy0st+iEg7LOlEREQGIpFIIJPJ9LY/C0spLKprYWEphUwm03hMRMaLw12IiIiIiESGZ9LJ6Hl6emLPnj1wc3MTOgoRERGRXrCkk9GTSqXw9vYWOgYRERGR3nC4Cxm9goICLFiwAAUFBUJHISIiItILlnQyerdv38bOnTtx+/ZtoaMQERER6QVLOhERERGRyLCkExERERGJDEs6EREREZHIsKST0TMzM0NQUBDMzPjjTERERI8GthoyegqFAunp6VAoFEJHISIiItILlnQiIiIiIpFhSSciIiIiEhmWdCIiIiIikWFJJ6Nna2uLiIgI2NraCh2FiIiISC/aCh2AqKVcXV2xfPlyoWMQERER6Q3PpJPRq6ysxNWrV1FZWSl0FCIiIiK9YEkno5ebm4vw8HDk5uYKHYWIiIhILzjchYiIiAxCqVSirKxM6BhasbKygkQiEToGmSCWdCIiIjKIsrIyWFtbCx1DKyUlJZDJZELHIBPE4S5ERERERCLDkk5EREREJDIc7kJGz9fXFxcvXhQ6BhEREZHe8Ew6EREREZHIsKST0bty5QrGjx+PK1euCB2FiIiISC9Y0snolZWV4ezZs0Y3rRcRERFRY1jSiYiIiIhEhiWdiIiIiEhkWNKJiIiIiESGJZ2MnouLCxISEuDi4iJ0FCIiIiK9YEk3sLy8PEgkEgwePFjoKI8MOzs7jB49GnZ2dkJHISIiI2NmxipE4sSbGYlQamoqPvjgA6Snp6O8vByenp54+eWXMXfuXFhYWAgdT3Ru3ryJ7777DiNGjIC9vb3QcYiIyADs7e3Rt29f+Pv7o3379mjTpg3Ky8tx6dIlZGRkIC8v76H7sLa2xr59+/D111/jiy++aP3QRFpgSReZVatW4e233wYAuLu7o3Pnzjh37hzi4uKwd+9eHDx4EO3atRM4pbgUFhZi8eLF6N27N0s6EdEjzNHREa+99hpee+01dO3atcl1i4qKsG3bNnz++ee4cOGCxnJra2vs378fAwYMwFNPPYXq6mps3LixtaITaY3f8YjIqVOnEBMTA4lEgk2bNiEvLw9ZWVnIzs6Gl5cXjh8/jvnz5wsdk4iIyKBsbW2xZs0a5OfnIyEh4aEFHagr9G+++SbOnz+PH374AT169FAvu7+gA8D//vc/ZGVltVp+Il3wTLqILFq0CEqlEq+99hoiIyPVz3t6eiIpKQlPP/001qxZg7i4OHTs2LHetkePHoW3tzecnJwMHZuIiKjVhIeHY926dXB1da33/PHjx3Hq1ClkZmaisLAQSqUStra26NWrF/r27YvBgwdDJpMBAIYMGYLMzEy8//77WLNmDVJSUuoV9KFDh+LMmTOGPjSiJpnsmfSioiLExsbCy8sLUqkUbm5umDVrFkpLSzFlyhRIJBJ8+umnBstTXFyM1NRUAMC0adM0lg8aNAg+Pj6oqqrCnj17NJYnJSXB1dUVo0aNwvbt21FZWdnqmYmIiFrTggUL8N1336kL+t27d7FixQp4eXlhwIABmDNnDpKTk3Hw4EH88MMP2LVrF9577z2MGjUKjz/+OP7+978jNzcXAGBpaYn4+HhcuXKFBZ2MgkmW9DNnzsDPzw8rVqyAXC5Hjx49UF1djY8//hjjxo3DxYsXAQC9e/c2WKasrCxUVVXB0tISgYGBDa4zcOBAAMCJEyc0lgUGBsLa2hopKSkYO3YsnJ2dMWPGDJw8ebJVc4uBTCbDgAED1GdMiIjI+P3zn//EokWL1I+///579OzZE7Gxsbh8+fJDt7979y4+/fRT9OzZEwkJCaitrQUAdOjQAQALOomfyZX0oqIiREREQC6XY+7cuSgsLERmZibkcjkSEhKQkpKC9PR0SCQS+Pv7GyxXTk4OgLqLRdu2bXgUkqenZ7117xcdHQ25XI6tW7di5MiRKC4uxtq1axEcHIxu3bohPj4e+fn5rXcAAvLw8MD69evh4eEhdBQiItKDKVOm4B//+If6cWxsLMLDw3H9+nWt91VZWYnFixdrXDyalZXFgk6iZnIl/a233kJ+fj6io6OxcuVK2NjYqJfFxsaiV69eqKmpgYeHB9q3b2+wXLdu3QLw/z/hN0S1TLXug6RSKcaNG4eUlBQUFBRg9erVCAgIwKVLlxAXFwd3d3cMHz4cmzdvRnl5uf4PQiC1tbUoKSlRnyUhIiLj5e7ujtWrV6sfv/XWW1ixYoXO+1NdJOrn5wcAUCgUAIChQ4fi5ZdfbllYolZkUiX94sWL2LZtGxwdHREfH9/gOn379gUA9OrVS/3cjz/+CIlEovGfPofDVFRUAECT86BbWloCQLMKdseOHTF79mxkZmbi3LlziI2NhbOzMw4cOIBJkybByckJU6dOxS+//KKfAxBQdnY2goKCkJ2dLXQUIiJqoaSkJPUJtHXr1uGTTz7ReV8NzeISGxurXv7JJ59wwgUSLZOa3WXLli1QKBSYOHEirK2tG1xHNQf5/SVd5bPPPkOfPn3Uj/U5BloqlQIAqqqqGl1HdTGotvOk+/r6IiEhAfHx8UhLS8PChQtx4sQJJCUlwdraGh9++KHWeQMDAyGXy7XerjmioqK0Wr+wsBAAsG/fvmZPobVp0yYtU4nP85NnQ2bdHoXyQri6umo8NgWm/h7w+E37+AHjew9UZ7Eb88wzz+CZZ54BAFy7dg1z587V+bUaKuiqMeiBgYEYP3487O3tMXfuXMTExDS6H29vb96VlHTm5OSEjIwMnbY1qZKelpYGAAgNDW10HdW47YZKeo8ePRAcHNwq2R42lOX+ZU0NiWnMjRs3sGXLFiQnJ+P06dMA6s7aq8a5a0sul6OgoECnbR+mrKxMq/VV30JUVFQ0e9vWym5IinvDexS1tSgoKNB4bApM/T3g8Zv28QOP3nswY8YM9Z9jY2NRXFys036aKugAMGvWLDz//POwtLTE5MmTsXDhQvW/JQ9SnQgiMjSTKulXr14FUDferSE1NTU4duwYgIZLemvy8fEBUJexpqamwYtHVVezq9Z9mPLycuzevRvJyclITU1FTU0NgLohPVFRUZgwYQIcHBx0ytuaXw9aWVlptb7qWwipVNrsbV1cXLTOJTZmbdqo/9fFxUXjsSkw9feAx2/axw8Y33ugUCgaLb2PP/44xowZAwD4448/sHPnTp1e42EFHag7cfXNN9/glVdegYODA8aOHYuvvvqqwf05OzvzTDrprCV9yaRKemlpKYDGx3Rv27YNRUVFsLGxwRNPPKGxfNy4cSgqKoKDgwNGjx6NZcuWwdHRUS/ZAgICYGFhgcrKSmRkZDR4xv6nn34CAPTv37/R/SgUChw+fBjJycnYsWOH+iyEs7MzJk2ahMjISPj6+rY4r65f3TSHtmPLz58/jw0bNmDkyJHNPrbFixfrEk1Uln62GXdLSuHs5Iz8/HyNx6bA1N8DHr9pHz9gfO9BaWlpo8NNhwwZoj5BtWHDBvWJJW00p6CrJCYm4pVXXgEADB8+vNGS/ttvv3GKXxKESZV0Jycn3Lp1C5mZmQgJCam3rLCwUD0mzd/fHxKJRL3M1tYWMTExGDRoEKytrfHzzz8jPj4eJ06cQEZGhvpMbkvY2Nhg2LBhSElJwbp16zRK+pEjR5CTkwMLCwv1mYb75eTkYMOGDdi8ebP6F7NqtpfIyEgMHz4cbe6dYXnU+Pj44NixY/Vm6iEiIuOimrgBAA4fPqz19toUdAA4efIkKioqIJVK6702kViY1Pc3Q4cOBQAkJCTUm2s8PT0doaGhKCoqAqB5E6OAgAAsX74co0aNwuDBgzF//nxs3rwZ58+fx5YtW/SWb8GCBZBIJNi4cSO+/PJL9fOXL1/GlClTAADTp09Hx44dNbZdunQpEhISkJ+fj5CQEKxduxaFhYXYunUrRowY8cgWdAAwNzeHvb09zM3NhY5CREQ6ur8oZ2ZmarWttgUdqBviqprhrFu3bjzRQ6JjUiU9NjYWDg4OuH79Onx9feHn5wdvb2/069cPXbp0wZAhQwA0bzz6qFGjIJPJ9DrsIzg4GMuWLYNSqURUVBQ8PDwQEBCAbt26ITc3F/3798eyZcsa3NbNzQ1xcXHIycnB8ePHMX36dNjZ2ektm5hdu3YNM2fOxLVr14SOQkREOnr88ccB1N108ObNm83eTpeCrnL/CbtOnTppF5iolZnUcBdXV1ccPXoUMTExOHz4MPLy8tCjRw8kJiZi2rRp6plOtLlo9P5hMfqguqHSqlWrkJ6ejj///BM+Pj6YOHEi5s6dq54r/UH33zrZ1BQXF+PQoUN48803hY5CREQ6Wr16NTp27Kiebri5li5dqlNBB4Ddu3cjLy8PFRUVTc6uRiQEkyrpANC9e3fs3btX4/mSkhLk5eXBzMwMPXv2fOh+9uzZg9LSUvTr10/vGcPCwhAWFqb3/RIREYnVZ599ptN27777LgIDA+Hj46NVQQeAHTt2YMeOHTq9LlFrM7mS3pjz589DqVTCx8dHYxq/SZMmoUuXLujTp4/6wtHly5ejd+/eGD9+vECJiYiIqLi4GGFhYejcuTPOnz8vdBwivWFJv+fXX38F0PBQF19fX/z73//Ghx9+iPLycri6umLatGl47733YGFhYeioREREdJ/i4mIWdHrksKTf01RJnz9/PubPn2/oSNRMnTp1wjvvvMOLfoiIiOiRwZJ+T1MlncTN0dERUVFRQscgIiIi0huW9HvS0tIM8joeHh5QKpUGeS1TcefOHfz8888ICQmBra2t0HGIiIiIWsyk5kmnR1N+fj7mzJkjyltgExEREemCJZ2IiIiISGRY0omIiIiIRIYlnYiIiIhIZFjSyehJpVJ0794dUqlU6ChEREREesHZXcjoeXp6YteuXULHICIiItIbnkknIiIiIhIZlnQyehcuXIC/vz8uXLggdBQiIiIivWBJJ6OnVCpRXV3Nm0QRERHRI4Nj0omIiMggrKysUFJSorf9rUjcirulZWgvs0LM9PEaj/XByspKL/sh0hZLOhERERmERCKBTCbT2/4sLKWwqK6FhaUUMplM4zGRMeNwFyIiIiIikeGZdDJ6np6e2LNnD9zc3ISOQkRERKQXLOlk9KRSKby9vYWOQURERKQ3HO5CRq+goAALFixAQUGB0FGIiIiI9IIlnYze7du3sXPnTty+fVvoKERERER6wZJORERERCQyLOlERERERCLDkk5EREREJDIs6WT0zMzMEBQUBDMz/jgTERHRo4GthoyeQqFAeno6FAqF0FGIiIiI9IIlnYiIiIhIZFjSiYiIiIhEhiWdiIiIiEhkWNLJ6Nna2iIiIgK2trZCRyEiIiLSi7ZCByBqKVdXVyxfvlzoGERERER6wzPpZPQqKytx9epVVFZWCh2FiIiISC9Y0sno5ebmIjw8HLm5uUJHISIiItILlnQiIiIiIpHhmHQiIiIiA1EqlSgrKxM6RrNZWVlBIpEIHcMksaQTERERGUhZWRmsra2FjtFsJSUlkMlkQscwSRzuQkREREQkMjyTTkbP19cXFy9eFDoGERERkd7wTDoRERERkciwpJPRu3LlCsaPH48rV64IHYWIiIhIL1jSyeiVlZXh7NmzRnW1PBEREVFTWNKJiIiIiESGJZ2IiIiISGRY0omIiIiIRIYlnYyei4sLEhIS4OLiInQUIiIiIr1gSTewvLw8SCQSDB48WOgojww7OzuMHj0adnZ2QkchIiIi0guWdBFKTU1FeHg4HBwcYGVlBT8/P8THx6OqqkroaKJ08+ZNbN68GTdv3hQ6ChERkUFZWlrCzc0Nnp6ecHNzQ7t27bTavmvXrnj11VdbKR21BO84KjKrVq3C22+/DQBwd3dH586dce7cOcTFxWHv3r04ePCg1n8BH3WFhYVYvHgxevfuDXt7e6HjEBERtRpzc3M8//zzCAsLQ9++feHr64u2bf9/nautrcWFCxdw+vRpHDhwADt37kRlZWWD++ratSsOHToEZ2dnWFpaYt26dYY6DGoGnkkXkVOnTiEmJgYSiQSbNm1CXl4esrKykJ2dDS8vLxw/fhzz588XOiYREREZmL29Pf71r3/h2rVr2LZtG1577TX06tWrXkEHgDZt2sDPzw9RUVHYvHkzrl+/jvj4eHTs2LHeevcXdACYPn26xr5IWCzpIrJo0SIolUpMnjwZkZGR6uc9PT2RlJQEAFizZg1u3Lihse3Ro0chl8sNlpWIiIgM47nnnsOFCxewcOFCODk5qZ+vqanB2bNnsX37diQnJ+Obb75BVlYWqqur1es89thjmDdvHi5cuIDx48cD0CzomZmZGDZsGGpqagx7YNQkky3pRUVFiI2NhZeXF6RSKdzc3DBr1iyUlpZiypQpkEgk+PTTTw2Wp7i4GKmpqQCAadOmaSwfNGgQfHx8UFVVhT179mgsT0pKgqurK0aNGoXt27c3+tUWERERGQcLCwt8+eWX+Pbbb9GpUycAQHV1NbZv345hw4bBxsYGvXv3xtixY/Hqq69i3Lhx6NOnD2xsbBAaGop///vf6uvZHBwcsGXLFuzbtw8//vhjvYI+dOhQ3Lp1S7DjpIaZZEk/c+YM/Pz8sGLFCsjlcvTo0QPV1dX4+OOPMW7cOFy8eBEA0Lt3b4NlysrKQlVVFSwtLREYGNjgOgMHDgQAnDhxQmNZYGAgrK2tkZKSgrFjx8LZ2RkzZszAyZMnWzW3GMhkMgwYMAAymUzoKERERHphaWmJPXv21Luoc/fu3ejSpQvGjh2LgwcPoqKiosFtKysr8eOPP2LixIlwd3fHtm3b1MtGjBihPhvPgi5uJlfSi4qKEBERAblcjrlz56KwsBCZmZmQy+VISEhASkoK0tPTIZFI4O/vb7BcOTk5AOouFm1sTJinp2e9de8XHR0NuVyOrVu3YuTIkSguLsbatWsRHByMbt26IT4+Hvn5+a13AALy8PDA+vXr4eHhIXQUIiKiFpNIJNi2bRvCwsIAAGVlZXjllVfw3HPPaf1vuVwux/jx4zFr1iwoFAr183fv3kV4eDgLuoiZXEl/6623kJ+fj+joaKxcuRI2NjbqZbGxsejVqxdqamrg4eGB9u3bGyyX6i9Jhw4dGl1Htayxv1BSqRTjxo1DSkoKCgoKsHr1agQEBODSpUuIi4uDu7s7hg8fjs2bN6O8vFz/ByGQ2tpalJSUoLa2VugoRERELfbWW29hzJgxAOqGww4bNgxff/21zvvr2rUr5s2bBzOz/1/72rdv3+DwWhIPkyrpFy9exLZt2+Do6Ij4+PgG1+nbty8AoFevXhrLvv32Wzz55JOQyWSwtbXFgAEDcP78eb1kU31lZWFh0eg6lpaWANCsgt2xY0fMnj0bmZmZOHfuHGJjY+Hs7IwDBw5g0qRJcHJywtSpU/HLL7/oJb+QsrOzERQUhOzsbKGjEBERtYiXlxeWLl2qfvziiy/i+PHjOu/vwYtEL126pD6p9d5778HX17dlganVmFRJ37JlCxQKBSZOnAhra+sG11HNQf5gSf/4448xduxYDBw4EHv27MGWLVswdOhQvZ2RlkqlANDkDYtUF4NqO0+6r68vEhIScO3aNRw4cADBwcG4e/cukpKSsGHDBt1DExERkV599NFHsLKyAlDXPQ4cOKDzvhqaxSUkJATLly8HUHdi8LPPPmt5aGoVJjUhZlpaGgAgNDS00XVUY73uL+mXL19GTEwMVq9ejejoaPXzI0eO1Fu2hw1luX9ZU0NiGnPjxg1s2bIFycnJOH36NIC6v5yqce7aCgwMbLUpH6OiorRav7CwEACwb98+ZGVlNWubTZs2aZlKfJ6fPBsy6/YolBfC1dVV47EpMPX3gMdv2scP8D0wxuO/f1z4g7y8vNTd4urVqy26N0pDBV11kej777+PF154AV27dsXTTz8Nf3//Rr9Z9/b2rjdMhrTj5OSEjIwMnbY1qZJ+9epVAHUXZzakpqYGx44dA1C/pG/YsAHm5uatOnbLx8dHnbGmpqbBi0cvX75cb92HKS8vx+7du5GcnIzU1FT1/Kd9+/ZFVFQUJkyYAAcHB53yyuVyFBQU6LTtw5SVlWm1vmqoUEVFRbO3ba3shqS493WlorYWBQUFGo9Ngam/Bzx+0z5+gO/Bo3b8M2bMUP/5k08+0frfQ5WmCjpQ9639hx9+iDVr1gAAZs6ciTfeeKPBfalOhJHhmVRJLy0tBdD4mO5t27ahqKgINjY2eOKJJ9TPHz9+HF27dsXXX3+NxYsX4/r16/D29sY//vEPTJgwQS/ZAgICYGFhgcrKSmRkZCA4OFhjnZ9++gkA0L9//0b3o1AocPjwYSQnJ2PHjh0oLi4GADg7O2PSpEmIjIzUy/iz+2+moG+qr/maSzVUSCqVNntbFxcXrXOJjVmbNur/dXFx0XhsCkz9PeDxm/bxA3wPjPH4FQpFo8VX1SkqKiqwceNGnfb/sIKu8vXXX2P58uWwsbHB+PHjMWPGDCiVSo39OTs780x6C7SkL5lUSXdycsKtW7fUY7LuV1hYiJiYGACAv78/JBJJvWUFBQWYP38+EhIS4ObmhqSkJLz88st47LHHMHTo0BZns7GxwbBhw5CSkoJ169ZplPQjR44gJycHFhYW6iu+75eTk4MNGzZg8+bN6iE7qtleIiMjMXz4cLS598tLH3T96qY5tL0AtLq6GlOmTIGNjQ3Mzc2btc3ixYt1iSYqSz/bjLslpXB2ckZ+fr7GY1Ng6u8Bj9+0jx/ge2CMx19aWtrgdXEuLi7qYn306FHcvHlT6303t6ADQElJCX744Qc899xzsLW1hbe3d4NTPP/222+8D4lATOqjkapMJyQk1PtBTE9PR2hoKIqKigBo3sRIoVCgpKQEX3zxBSZPnoyhQ4fi3//+N/z9/bFo0SK95VuwYAEkEgk2btyIL7/8Uv385cuXMWXKFADA9OnT0bFjR41tly5dioSEBOTn5yMkJARr165FYWEhtm7dihEjRui1oIuNubk57O3tm13QiYiIxEY1uxyg24kwbQp6Q69z/+uTOJhUSY+NjYWDgwOuX78OX19f+Pn5wdvbG/369UOXLl0wZMgQAJozu9jb2wNAvTPmEokEQ4cOxblz5/SWLzg4GMuWLYNSqURUVBQ8PDwQEBCAbt26ITc3F/3798eyZcsa3NbNzQ1xcXHIycnB8ePHMX36dNjZ2ektm5hdu3YNM2fOxLVr14SOQkREpJNu3bqp/3z27FmtttWloAN1d2BX6d69u1avSa3PpEq6q6srjh49imeffRZSqRR5eXmwt7dHYmIiUlJS1GfXHyzpTY3hbuyWvLqKjY3F/v37MWzYMNy5cwfZ2dnw8fHBkiVLcPjw4UbHXC9atAhLliyBt7e3XvMYg+LiYhw6dEg9/p6IiMjYlJWVIS8vD3K5HH/99Vezt/Py8tKpoAN1d2H/888/kZeXh5KSEp2zU+swqTHpQN0nxb1792o8X1JSgry8PJiZmaFnz571lo0ZMwYbNmxAamoqXnjhBQB1Q2AOHDiAoKAgvWcMCwtT3wqYiIiIHn2ffvopPv30U623U5VsZ2dnrQo6AJw8ebJVJ4KgljG5kt6Y8+fPQ6lUwsfHR+NsdUREBJ566im8/vrr+N///ofOnTtj/fr1OH/+fItuMkBERETUEsXFxQgLC8PKlSsxb968Zhd0Ej+W9Ht+/fVXAJpDXYC68ed79uzBO++8g7i4ONy9exe9evXCvn371OPYiYiIiIRQXFyM6dOnCx2D9Iwl/Z6mSjoA2NnZITExEYmJiYaMRc3QqVMnvPPOO+jUqZPQUYiIiIj0giX9noeVdBIvR0dHREVFCR2DiIiISG9Y0u9JS0szyOt4eHg0eEcv0t2dO3fw888/IyQkBLa2tkLHISIiImoxk5qCkR5N+fn5mDNnjmjvLkdERESkLZZ0IiIiIiKRYUknIiIiIhIZlnQiIiIiIpFhSSejJ5VK0b17d0ilUqGjEBEREekFZ3cho+fp6Yldu3YJHYOIiIhIb3gmnYiIiIhIZFjSyehduHAB/v7+uHDhgtBRiIiIiPSCJZ2MnlKpRHV1NW8SRURERI8MlnQiIiIiIpHhhaNEREREBmJlZYWSkhK97GtF4lbcLS1De5kVYqaPb/S5lrCysmrxPkg3LOlEREREBiKRSCCTyfSyLwtLKSyqa2FhKVXvs6HnyDixpJPR8/T0xJ49e+Dm5iZ0FCIiIiK9YEknoyeVSuHt7S10DCIiIiK94YWjZPQKCgqwYMECFBQUCB2FiIiISC9Y0sno3b59Gzt37sTt27eFjkJERESkFyzpREREREQiw5JORERERCQyLOlERERERCLDkk5Gz9HREdOmTYOjo6PQUYiIiIj0giWdjJ5EIoGFhQUkEonQUYiIiIj0giWdjN5ff/2Fzz77DH/99ZfQUYiIiIj0giWdiIiIiEhkWNKJiIiIiESGJZ2IiIiISGRY0sno2draIiIiAra2tkJHISIiItKLtkIHIGopV1dXLF++XOgYRERERHrDM+lk9CorK3H16lVUVlYKHYWIiIhIL1jSyejl5uYiPDwcubm5QkchIiIi0gsOdyEiIiIig1AqlSgrKxM6hlasrKwEuWEiSzoRERERGURZWRmsra2FjqGVkpISyGQyg78uh7sQEREREYkMSzoRERERkchwuAsZPV9fX1y8eFHoGERERER6wzPpREREREQiw5JORu/KlSsYP348rly5InQUIiIiIr1gSSejV1ZWhrNnzxrdlE5EREREjWFJJyIiIiISGZZ0IiIiIiKRYUknIiIiIhIZlnQyei4uLkhISICLi4vQUYiIiIj0giXdwPLy8iCRSDB48GChozwy7OzsMHr0aNjZ2QkdhYiIiIxM586dhY7QIN7MSIRSU1PxwQcfID09HeXl5fD09MTLL7+MuXPnwsLCQuh4onPz5k189913GDFiBOzt7YWOQ0RERK3Mx8cHQUFB6Nu3L7p37w4rKysolUrcvXsXv/zyC06fPo2TJ0/ijz/+aHI/zz33HLZt24a///3v+OKLLwyUvnlY0kVm1apVePvttwEA7u7u6Ny5M86dO4e4uDjs3bsXBw8eRLt27QROKS6FhYVYvHgxevfuzZJORET0iGrXrh0mTJiAmTNnom/fvo2uFxERof7z999/j88//xwpKSmora2tt95zzz2Hb775Bubm5khMTMRvv/2GQ4cOtVp+bXG4i4icOnUKMTExkEgk2LRpE/Ly8pCVlYXs7Gx4eXnh+PHjmD9/vtAxiYiIiAxq/PjxuHbtGpKSkpos6A8KCwvD7t27cf78eTz55JPq5+8v6ACwadMmHD58WO+5W4IlXUQWLVoEpVKJyZMnIzIyUv28p6cnkpKSAABr1qzBjRs3NLY9evQo5HK5wbISERERtbbHHnsMu3btwpYtW+Do6Kh+/tSpU4iLi0NYWBg6deoES0tLSKVSuLu747nnnsOSJUtw+fJl9fpdu3bF0aNHsXLlSvztb3/TKOhTpkyBQqEw+PE1xWRLelFREWJjY+Hl5QWpVAo3NzfMmjULpaWlmDJlCiQSCT799FOD5SkuLkZqaioAYNq0aRrLBw0aBB8fH1RVVWHPnj0ay5OSkuDq6opRo0Zh+/btqKysbPXMRERERK3F3d0dx44dw/PPP69+bufOnQgKCkL//v0RHx+P1NRU3LhxA1VVVaisrMS1a9ewe/duLFiwAN7e3hgxYgROnjwJADAzM8PcuXOxdetW0Rd0wERL+pkzZ+Dn54cVK1ZALpejR48eqK6uxscff4xx48bh4sWLAIDevXsbLFNWVhaqqqpgaWmJwMDABtcZOHAgAODEiRMaywIDA2FtbY2UlBSMHTsWzs7OmDFjhvoH81Emk8kwYMAAyGQyoaMQERGRHjz++OM4dOgQvL29AQA3btzASy+9hJdeegkZGRnN2odSqcT+/fvx5JNPIiYmBlVVVQDqyjoAJCcni7agAyZY0ouKihAREQG5XI65c+eisLAQmZmZkMvlSEhIQEpKCtLT0yGRSODv72+wXDk5OQDqPjW2bdvw9byenp711r1fdHQ05HI5tm7dipEjR6K4uBhr165FcHAwunXrhvj4eOTn57feAQjIw8MD69evh4eHh9BRiIiIqIXatGmDb7/9Fk888QQAIDs7G3379sXOnTt12p9CoUBubq66nKtUVlaKtqADJljS33rrLeTn5yM6OhorV66EjY2NellsbCx69eqFmpoaeHh4oH379gbLdevWLQBAhw4dGl1HtUy17oOkUinGjRuHlJQUFBQUYPXq1QgICMClS5cQFxcHd3d3DB8+HJs3b0Z5ebn+D0IgtbW1KCkp0bhqm4iIiIxPTEwM+vXrBwD4/fffMWTIkBadaFRdJKo6CVpdXQ0AmDp1KoYPH97ywK3EpEr6xYsXsW3bNjg6OiI+Pr7BdVRXDPfq1Uv93ODBgyGRSBr874033tBLtoqKCgBoch50S0tLAGhWwe7YsSNmz56NzMxMnDt3DrGxsXB2dsaBAwcwadIkODk5YerUqfjll1/0kl9I2dnZCAoKQnZ2ttBRiIiIqAW6du2K999/H0DdSbiXX34ZhYWFOu+voVlc/v73v6uXr1+/XrTDZU1qnvQtW7ZAoVBg4sSJsLa2bnAd1Rzk95f0zz//HHfv3q23XkpKChYvXoxRo0bpJZtUKgUA9XiphqguBtV2nnRfX18kJCQgPj4eaWlpWLhwIU6cOIGkpCRYW1vjww8/1DpvYGBgq80mExUVpdX6qr+8+/btQ1ZWVrO22bRpk5apxOf5ybMhs26PQnkhXF1dNR6bAlN/D3j8pn38AN8DHr/m8Yr9PXjY8JL/+7//U5+UXLVqVYuurWuooKvGoL/44osYNmwY3NzcMGnSJCQmJja6H29vb42hMs3l5OTU7DH0DzKpkp6WlgYACA0NbXQd1dcp95f0Hj16aKy3ZMkSPPbYYwgPD9dLtocNZbl/WVNDYhpz48YNbNmyBcnJyTh9+jSAurP2qnHu2pLL5SgoKNBp24cpKyvTan3VtxAVFRXN3ra1shuS4t7wHkVtLQoKCjQemwJTfw94/KZ9/ADfAx6/5vEa83vQvn17TJw4EQBw9+5dLFq0SOd9NVXQgbohNWfOnAEAzJw5s8mS3pIz+S1hUiX96tWrAOouzmxITU0Njh07BqB+SX/QX3/9hf3792PmzJmNXuSpLR8fH3XGmpqaBvermu9Tte7DlJeXY/fu3UhOTkZqaipqamoA1A3piYqKwoQJE+Dg4KBTXicnJ522aw4rKyut1ld9CyGVSpu9rYuLi9a5xMasTRv1/7q4uGg8NgWm/h7w+E37+AG+Bzx+zeMV+3ugUCgaLb0vv/yyeujJV199hZKSEp1e42EFHQDOnj2L48eP48knn4S/vz/69euHU6dONbg/Z2fnFp1J15VJlfTS0lIAjY/p3rZtG4qKimBjY6O+orghW7ZsQU1NDV555RW9ZQsICICFhQUqKyuRkZGB4OBgjXV++uknAED//v0b3Y9CocDhw4eRnJyMHTt2oLi4GEDdD9ikSZMQGRkJX1/fFufV9aub5tB2bPn58+exYcMGjBw5stnHtnjxYl2iicrSzzbjbkkpnJ2ckZ+fr/HYFJj6e8DjN+3jB/ge8Pg1j1fs70FpaWmjQ46feuop9Z91HZbanIJ+/2uo7kL61FNPNVrSf/vtN0HGrZtUSXdycsKtW7eQmZmJkJCQessKCwsRExMDAPD394dEIml0P8nJyejevXuj85nrwsbGBsOGDUNKSgrWrVunUdKPHDmCnJwcWFhYYMyYMRrb5+TkYMOGDdi8ebP6L6VqtpfIyEgMHz4cbe59un7U+Pj44NixY/Vm6iEiIiLjopq8o6KiAmfPntV6e20KOlD/vjOq1xYTk5rdZejQoQCAhISEenONp6enIzQ0FEVFRQCavolRdnY2MjIy9HoWXWXBggWQSCTYuHEjvvzyS/Xzly9fxpQpUwAA06dPR8eOHTW2Xbp0KRISEpCfn4+QkBCsXbsWhYWF2Lp1K0aMGPHIFnQAMDc3h729vfovJRERERkXmUyGrl27AqgbiqIaottc2hZ0ALhw4YJ6dEWfPn10TN56TKqkx8bGwsHBAdevX4evry/8/Pzg7e2Nfv36oUuXLhgyZAiApsejJycnQyKRqC9s0Kfg4GAsW7YMSqUSUVFR8PDwQEBAALp164bc3Fz0798fy5Yta3BbNzc3xMXFIScnB8ePH8f06dNhZ2en94xidO3aNcycORPXrl0TOgoRERHp4P7Ocv36da221aWgA3VTPKrGx+syKUdrM6nhLq6urjh69ChiYmJw+PBh5OXloUePHkhMTMS0adPUM500VtKVSiU2b96MwYMHo3Pnzq2SUXVDpVWrViE9PR1//vknfHx8MHHiRMydO1c9LdGDWnIFtLErLi7GoUOH8OabbwodhYiIiHRQVFSEQYMGQSqVqkc2NNfs2bO1LugqU6ZMQdu2bXW+SLU1mVRJB4Du3btj7969Gs+XlJQgLy8PZmZm6NmzZ4PbHjlyBFevXsV7773XqhnDwsIQFhbWqq9BREREJBaVlZU4evSoTttGRETg+++/x6VLl7Qq6ADw448/6vSahmByJb0x58+fh1KphI+PT6PT+CUnJ6Ndu3Z46aWXDJyOiIiIiBpSXFyMYcOGoby8XKuCLnYs6ff8+uuvABof6lJRUYEdO3bgueee4ywiRERERCKimmb7UcKSfs/DSrpUKsXt27cNmIiaq1OnTnjnnXfQqVMnoaMQERER6QVL+j0PK+kkXo6OjoiKihI6BhEREZHesKTfk5aWZpDX8fDwgFKpNMhrmYo7d+7g559/RkhICGxtbYWOQ0RERNRiJjVPOj2a8vPzMWfOHFHe/piIiIhIFyzpREREREQiw5JORERERCQyLOlERERERCLDkk5GTyqVonv37pBKpUJHISIiItILzu5CRs/T0xO7du0SOgYRERGR3vBMOhERERGRyLCkk9G7cOEC/P39ceHCBaGjEBEREekFSzoZPaVSierqat4kioiIiB4ZHJNORERERAZhZWWFkpISve1vReJW3C0tQ3uZFWKmj9d4rA9WVlZ62Y+2WNKJiIiIyCAkEglkMpne9mdhKYVFdS0sLKWQyWQaj40Zh7sQEREREYkMz6ST0fP09MSePXvg5uYmdBQiIiIivWBJJ6MnlUrh7e0tdAwiIiIiveFwFzJ6BQUFWLBgAQoKCoSOQkRERKQXLOlk9G7fvo2dO3fi9u3bQkchIiIi0guWdCIiIiIikWFJJyIiIiISGZZ0IiIiIiKR4ewuJDrdunXTan1bW1u89957ePLJJ+Hs7NxKqYiIiIgMhyWdjJ6zszPef/99oWMQERER6Q2HuxARERERiQxLOhERERGRyLCkExERERGJDEs6EREREZHIsKQTEREREYkMSzoRERERkciwpBMRERERiQxLOhERERGRyLCkExERERGJDEs6EREREZHIsKQTEREREYkMSzq1GoVCgX/961/w8vJCu3bt0LlzZ7z11lsoLS0VOho1Yt++fejduzcsLS3h4eGBDz74QOhIBnXkyBGMGTMG7u7ukEgkWLx4sdCRDGrFihUICQlBhw4dYGdnh4EDB2L//v1CxzKo5ORk9O3bFx06dEC7du3QvXt3fPDBB1AqlUJHE0RaWhratGkDLy8voaMYxPvvvw+JRKLxX25urtDRDKqoqAgzZszA448/DktLSzzxxBNYt26d0LEMwsPDo8GfAV9fX4NnaWvwVySTsWrVKqxcuRIbN25E3759cenSJUyePBmVlZVITEwUOh49ICMjA2PGjMHbb7+NLVu24OTJk3jjjTdgZWWFN954Q+h4BlFSUoIePXrg5ZdfxuzZs4WOY3BpaWl47bXXEBQUBCsrK6xfvx6jRo3C4cOHMWDAAKHjGUTHjh2xcOFCdO3aFZaWljh69ChmzpyJNm3aYNasWULHMyi5XI7IyEgMHz4cv/32m9BxDMbDwwM///xzvecee+wxgdIYXklJCQYNGgQXFxds2bIF7u7uKCwsRG1trdDRDCI9Pb3esZaUlMDf3x/jx483eBaWdGo1x44dw7Bhw/Diiy8CqPvFN2HCBKSlpQmcjBrywQcfICgoCPHx8QCA7t274/z581i2bJnJlPSRI0di5MiRAIB33nlH4DSG991339V7vHz5cuzfvx+7du0ymZIeFhZW73GXLl3wn//8Bz/++KNJlXSFQoFJkybhzTffREVFhUmV9DZt2sDJyUnoGIJZsWIFysrKsHfvXlhaWgKo+/fbVDz4gWzdunWorq7G1KlTDZ6Fw12o1QwcOBDHjh3DL7/8AgD4/fffsW/fPjz77LMCJ6OGHDt2DOHh4fWeCw8Px9WrV5Gfny9QKhKSQqHA3bt3IZPJhI4iCKVSiVOnTuHYsWMIDQ0VOo5BLVq0CBKJxCQ/rObn58PV1RWurq4YMWIEjh8/LnQkg9q5cycGDhyIOXPmwNnZGd26dUNMTAzKysqEjiaIxMREREREwNnZ2eCvzTPp1Grmzp2LiooK9OnTBxKJBDU1NZg2bRoWLVokdDSjUqtQ4PLVPzSer7n3dVxNbS1yruRrPL6fvZ0NHDvYNvk6hYWFGmePVI8LCwvh6uqq8zG0VOGN/6G4tFzj+ea+B23bmKFL58cNE7YVlJZVoODPIo3ntfkZcOnkCJmVVKvXXbp0KW7fvo3XX39dx+T68/u1P1BTq6j3nDbHbyNrB+eODs16rTt37sDFxQVVVVVQKBR477338NZbb+nhKHRXdOsObt4u1nhem/fA0/1xtDF7+Lm5Q4cOYe3atcjKyoJEItFD+parqq5BXr5c43ltjr+jgx3s2ls3+Tr9+vXDxo0b0aNHD9y9exeJiYl46qmnsH//fgwbNkxPR6Ob64U3UF5RVe+5ho63sfdAamGOzi6dHvo6ly9fRm5uLl566SX897//xR9//IHo6Gj88ccf2Lx5s74OR2t3i0shL7ql8bw2PwPuj3eEpaVFs18zIyMDp0+fxpIlS1qQXHcSpaleDUOtbvv27Zg1axYSEhLQu3dvXLp0CXPmzMGrr74q2A+8sdq1/whOnc3WaVtLC3PMeu0l2NvaNLmehYUFPv3003qF7Pz58+jZsydOnTqFoKAgnV5fH/Ly5Uj89391vnhv5OD+GNS/l1bbeHh4YOrUqViwYIFOr6lPNbW1+Oyr/6Dwxv902t65owPefPU5tG3TptnbfP7553j77bexZ88eDB06VKfX1acjJ89i348nddpWIpHgjZcj4O7avCEMCoUCv//+O8rKynD8+HHMnz8fK1euxJQpU3R6fX24efsuPty4E1VV1Tpt3793dzwf9tRD1ysqKkKvXr2QlJSk/mbt/fffx9dffy3oxZNKpRJf7UrFxdyrOm1vI2uH2VP+Blk77T6oAsDgwYNhYWGB1NRUnV5bX87lXMHX3x7Qeftxo0IR4Ov90PUsLS3h4OCAq1evwtzcHACwY8cO/O1vf8P//vc/2Nvb65yhJSoqq/Dhhh24fbdEp+293F3w2riRMNPig+e0adPwww8/4PLly4J8YOVwF2o1c+fOxaxZs/DKK6/Az88PL730EpYuXYrly5ejoqJC6HhG5dkhIXCwa6/TthHPPPnQgg4Azs7OkMvrn6n6888/1cuE5OHqhKe1LNkqT7g5Y2CQn54TGVbbNm0wblQo2rTR/ld2mzZmGDcqVKuCvnLlSsTExIimoAPAwCA/POGm28/h4OBezS7oAGBmZgYvLy/4+/vjjTfeQGxsLN59912dXltf7O3aY/QzT+q0rYNde4wMDW7WuufOncMff/yBUaNGoW3btmjbti3+9a9/4fLly2jbti3+/e9/65ShpSQSCV4MH6T1t0EqL414WqeCDgAhISHIy8vTaVt96unzBPr29NFpW7+uXdC7R/Nm6HF2doaPj4+6oANQz2xy9apuH5L0QWppgbHPDoYuVVlqaYG/jXxaq4J+9+5dbNmyBa+//rpg3yixpFOrKS0thdkDX622adMGSqXSZKcz05WlhTnGjgrV+hdFD28P9PVr3i/1AQMG4Pvvv6/33P79++Hu7i7oUBeVoQP7Nnu4goqlhTnGPjtY4+fQGDk9Zo+wQf203i58UD84Pdb8M1//+Mc/8M9//hP79u0TTUEH6orz354dDEsL84evfJ/HOzngmQF9W/TaCoVCFCcW+vr5oIe3u1bbSCQSjB0V2uz3LSgoCL/++ivOnDmj/u+NN96Am5sbzpw5I+g1RdaydnghfJDW2/Xv3R1dPTvr/LqZmZlwc3PTeXt9ihj65EOH7DzIxtoKz4UNbPa/H0899RRyc3NRU1Ojfu7SpUsAhL+AtEvnxzEwyF/r7Z4bPhC2Wr5vX3/9NaqqqjB58mStX09fjP9fLhKt5557DitXrsS3336LvLw8fP/991iwYAFGjBiBdu3aCR3P6Li7dMLg4N7NXt/aqh1eCH+q2b+Y58yZg1OnTuHdd99FdnY2vvzyS3zyySeYN2+ejon1q22bNhiv5Rnh0UMHoEMzvkVQKSkpUReTqqoqyOVynDlzRjRzJA8M8kOXzs0/m9ylszMGaPEtwuzZs7FixQokJyeja9eukMvlkMvluHPnji5x9c7e1gYRQ5t/NrltmzYY96x2PzPvvfceDh48iN9//x2XLl3CunXrkJCQgMjISF0i65VEIsELYYNgbdX835+Dg3vDvRnjkFVkMhl69uxZ77+OHTvCwsICPXv2hK1t09e2tDZfbw8E+nVt9voOHdrj2WZ+iwAA//d//4e0tDT8/vvvOHPmDN58800cOHBANFOySi0t6k7YaLGNtt8ivP322/jrr78wc+ZMZGdn49ChQ3j77bfx6quvokOHDtqH1rPhgwLRybH5Ofy7Nf9bhPslJibiueeeQ6dOzf/7o28s6Y+wyspKxMfHo2fPnrCysoKDgwPCw8Nx4IDuY9q08fHHH+PVV1/F3Llz0a1bN0ybNg3h4eH48ssvDfL6j6JnBvTB452adzb5hRHa/WMeFBSE//znP9i7dy969eqFf/zjH1iyZImopl/s9Jg9wp5u3th4Xx8P9On58PGX98vIyEBAQAACAgJQWFiIzz77DAEBAYJMvdUQM4kEfxvZvLPJlhbm+NvIwVp9vfvRRx+hoqICzz//PJydndX/iWnqwb49feDr49GsdcOeDkInLb5FAOq+4n7jjTfg6+uL4OBgrF27FvHx8aK5sZe1rB1eGNG8s8kunRzxzIA+rZzI8CKeCWnWED6JRIJxz4bCQotvXwoLC/Hqq6+ie/fuGD58OC5duoSDBw8iIiKiJZH1qoubM57q17yzycEBPdC1i3bfAvTq1Qv79u1DVlYWevfujcmTJ+P555/HmjVrdImrd+Zt22JcxJBmXQTd3toKzw0fqPVrnDhxAr/88gumT5+uS0S94YWjj6iysjIMGTIEJ0+eRNu2bdGzZ0/cunULV69ehUQiwQcffCCaMwOknT+LbuGTTbvUV7A3JMi/G15s5j/kxkahVGL91hT8fk1zxhsVa1k7zH7tJa0+pBiT0+dysD3lxybX+duzg3Uevyp2JWXl+HDDDpQ0MOOPSpfOj2Pq+Ge1+pBiTHZ+dwTpvzR+MXnbNm3w96gXtDrjaEyuXC/EF//+L5oqMEOe7IPhTwUaLJMh1dTU4tOvvoX8r5uNruPYwRZvRb2g1YcUY/LjiTPYf/hUk+u8NnYkfJ4Qfrimrngm/REVGxuLkydPwsvLC9nZ2cjKykJeXh42btwIoO6iztOnTwucsk5JWXmD08tRwzo5dkD4042PTba3s8GoIc3/etfYmEkkGPuQsckvjXj6kS3oANDH17vJs8k9fZ5An2bM4mCsrK3a4cUmxiarr0V4RAs6AIwaEtzk2eTwwf0e2YIO1F0Q3tSMTS5OjnjmyUfvWwSVtm2bvpjc7N61CI9qQQeAQf384dHEBeEhfXyNuqADLOmPJLlcji+++AIAsGHDBnh6eqqXRUVFISoqCgqFAosXLxYqYj1HTp7FJ5t24fsjTX8ipv/vycCe8HTXnPdbIpFg7LOhWs0Da4zs2ltjzLCG74DZr1c3dGvBRWLGQD02Wab5QcRa1g7PhzX/WgRj1d3LHf16dWtw2XPDB2p9cZ2xsVSNTW7g/2cvdxc82benAKkMa9jAwAYvim7btu5aBF1mQzImzh0dGv2mIDQkAJ0f72jgRIalupi8oQ8ij9nbYsTg/gKk0q9H4idYIpGof1H997//xVNPPYX27dvD0dERL730Ei5fvqxed+/evXj66adhZ2eH9u3bY8yYMU3e7riyshIfffQRnnzySdjZ2UEqlaJr166IiYlBUVHDZ39PnjyJd955B0FBQXBycoKlpSVcXFwwduxYpKenN/pa+/btw8iRI9GxY0eYm5vDwcEB3bt3x2uvvYZjx441+/3Ys2cPqqur0bVrVzz1lOa8uNOmTcP/a+9eY6I68ziO/7jJdBGLF6xEqkVZsIu6CmspaqUa8UbEprFVewkJNbHtYmxC021a21ekWQ2mTTfS9LJF0zQ2bXQb06hdmmwpeKnYESxiLQJewIhKYRXEYYY5+4JlHG4yjFYOM9/PKzwPc+bMKOOP5zzP/y91tgBvafGu3ujd0tLapsPWk5KkyRP9tw3zYHWtTbb0COOpyX++7cyCL5md8EfNiI/pdmxsxCilL0oZoiu6t8L+YNHq5am9jq9enup1mbrhJn1RisZEdJ9NnhEf49UmseGor9KkltARWj3IUnPDVXBwkNauXNQrjC9PTdZ4H76L4O6xOb1nk6MnRGqRD99FcDc2YpRW9vjMd91FCBn+/Tp9IqR32b59uzIyMlRTU6PY2FjduHFDu3fvVmpqqq5cuaL33ntPK1euVFVVlaZMmSKHw6G9e/dqwYIFunLlSq/zNTQ0KCUlRa+88op+/PFHRUREKC4uTufOnVNeXp6SkpJUU1PT63HPPvustm7dqpqaGo0bN04JCQmy2Wz66quvNHfuXO3evbvXY/Lz85Wenq79+/fL6XRq5syZeuCBB1RXV6eCggJ99tlnHr8PR44ckSTNn9/3Zok5c+YoNDRUNptNZWVlHp/39/DD0XLZHR2Kjooc9OYWf9dzNjlq/Fgtnn9npeaGk4CAAD2x9DGF/382OcCDZTC+ZtrUSUqe9bDrz8mzHvb5uwjuQkeEaE36rdnkzlJzvn8XwV3P0qSr0ub5/F0EdxMix2jpY7c2k8dOnqiUpIQhvKJ7KzAwUE+7zSYHBwfpaS97KgxXf5kZr4djb5UmXTQ3UQ9G+cZdBJ/6W3zttde0c+dO1dfXy2q1qq6uTnPmzFF9fb2ysrL0xhtvaOfOnbp48aKsVqsuXLigpKQkXbp0Sdu2bet2LsMwtGbNGh0/flzp6emqrq7W2bNndeLECV29elVZWVk6f/68nnvuuV7X8fbbb6uqqkqNjY2qqKiQ1WrV5cuXtWfPHlksFq1fv77bDLbD4XB1NczPz1dDQ4N++uknVVZW6tq1ayoqKtLSpUs9fh9+/fVXSeq2zMVdcHCwJk2a1O17h4L7LPrieUl+9R/r3TLrT7GaET/F1exmMKXmfEHYfbdmkwfbsMZXrFj4qMZGjNLY0Z43rPElk6Mn6PFHO2eTVy9b4HXDmuHKvdGVt6XmhruuRlfeNKzxBe6NrlY8nqzxYyOG9oLuMfdGVw9GRWphyuyhvqS7xiequ3SFu40bN+r999/vNnbgwAEtX7683/H9+/drxYoVmjlzpsrLy13H9+3bp/T0dE2fPl2lpaWyWLp/8Hd0dOiRRx6R1WpVSUmJ5s3re31sT2+99ZZyc3O1a9curV27VlLnGvKoqCiNHj1av/3W/05tTyUkJKiyslIffPBBv+XzkpOTdfToUeXl5SknJ2fQz/GPnXt0vaX/ygqeuGlrV7vdrqDAQIX58Ca/35vTMORwODQixH9mkHtqb7crJCTYb3/R66r042+/pHUxDEN2u8OnN8kNpN1uV0iw//4MOJ1OdTidCgke/kscvGEYhtrtDo3w489Bu8OhwMBAj0oz3kvhI+/TxswnvXqsT/1r7quWcWJiokfjPZetdC1JyczM7BXQpc7OmRkZGbJarfr+++97hfSqqip98cUXKi8vV2Njo+x2uyTp8uXLkqSysjJXSI+MjJTFYlFzc7MKCwuVlpbm8WvuS1dnvBEj+t88GBoaKklqa/MuaF9vadO1llavHttTh9N5187lz27a2of6EobUzXb/fv3g34C/fwZIUptsQ30JQ8rm5z8DvsanQnpfyzsiIyNvOz5+fOe6pZ4bKE+cOCFJKigo0Ndff93n8zU0NEiS6uvrux3ftm2bXn/99W4tdXtqbGx0fR0UFKRNmzZpy5YtWrJkiRITE7V48WLNnz9fqampGjVqVL/n6UvXLxXtt/lhtdk6P8i87fwZPvLOZr6ZRQcAAL7uTvKST4X0sLCwXsfcb/sMNO6uublZklRZWTng8964ccP19cGDB/Xqq68qKChIubm5WrVqlR566CGFhYUpICBAn376qV544QXXzHqXd955R9HR0dq+fbusVqusVqu2bt2q0NBQPfPMM8rLy9OYMZ51zutq29vU1NTv93SNedvi19tbN1LnWvQtH+6SJD3/5BK/2ugGAADgCZ8K6XfTyJGdu+P37t07qHbAXVVYcnJy9Oabb/Yad59BdxcYGKjs7GxlZ2errq5OxcXFKiws1JdffqmCggJduHBBhYWFHl1DXFycDh482K30pDu73a7z58+7vtcbd7Im/aatXXa7Q0GBgdpzoNircwAAAJgda9J/BwkJCSorK1NFRcWgQnptba2k/ssfdpVHvJ3o6GitW7dO69atU05OjmbMmKHvvvtOtbW1iomJGfDxycnJKigoUElJSZ/jx44dk81mU2hoqGbNmjXg+fpyN9aksxYdAACgb4T0fqxevVqff/65PvroI23cuNE1sz6QrjXely5d6jVWVVWlb775ZlDXkZCQoPvvv1/Nzc26ePGiRyE9IyND2dnZOn36tIqLi3s1NPr4448lScuWLfP4dfXk7Ror1qIDAAB/cUd7+AwfIMm43UvxZtzpdBqpqamGJCMlJcX4+eefu413dHQYhw4dMjZs2GBUV1e7jufl5RmSjJiYGOPMmTOu4xUVFUZ8fLxhsVgMSUZmZqZr7OTJk8b69euNw4cPG06n03Xc4XAY7777riHJsFgsRlNT00BvhcuLL75oSDJiY2O7XUdBQYEREBBgBAQEGKWlpR6f72643nLD2Lztn8bf/v6hcerMuXv63AAAAMOJT9VJ7++leDt+9epVrVq1SocOHZIkTZ48WRMmTFBbW5uqq6vV2tq5VOPUqVOaNm2aJOn69etKTEzUmTNnFBISovj4eDmdTp06dUpRUVF6+eWXtXnzZmVmZmrHjh2SOssxzp7dWXw/PDxcU6dOVVBQkM6ePetaw56fn6+XXnrJ4/ektbVVCxcuVGlpqYKDgzV9+nQ1NTXp3LlzkuR1ffQ7se8/R/TD0ROKjorUX59/wm9ruQIAAAzEXBXfTWbcuHEqKirSjh07lJaWptbWVh07dky1tbWKjY3Vpk2bVFRU1G3zZXh4uEpKSpSVlaXRo0fr9OnTamlp0YYNG2S1WjVx4sRezxMXF6dPPvlEa9asUVRUlGpqalReXi6LxaKnnnpKxcXFgwroUmclm+LiYuXm5iouLk6//PKLrl27prS0NH377bf3PKC3tLbp8PHOSjl0FwUAALg9n5hJh/ld/e2/+te/i2VrtzOLDgAAMABCOu6pm7Z2WUL774QKAAAAQjoAAABgOqxJBwAAAEyGkA4AAACYDCEdAAAAMBlCOgAAAGAyhHQAAADAZAjpAAAAgMkQ0gEAAACTIaQDAAAAJkNIBwAAAEyGkA4AAACYDCEdAAAAMBlCOgAAAGAyhHQAAADAZAjpAAAAgMkQ0gEAAACTIaQDAAAAJkNIBwAAAEyGkA4AAACYDCEdAAAAMBlCOgAAAGAyhHQAAADAZAjpAAAAgMkQ0gEAAACTIaQDAAAAJkNIBwAAAEyGkA4AAACYDCEdAAAAMBlCOgAAAGAyhHQAAADAZAjpAAAAgMkQ0gEAAACTIaQDAAAAJkNIBwAAAEyGkA4AAACYDCEdAAAAMBlCOgAAAGAyhHQAAADAZAjpAAAAgMkQ0gEAAACT+R9LpznzZkkh6QAAAABJRU5ErkJggg==", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_output = QuantumCircuit(8)\n", "qc_output.measure_all()\n", "qc_output.draw(initial_state=True, output='mpl') " ] }, { "cell_type": "markdown", "id": "dfdc218a-f250-4178-8cb2-68e1ab08dcfc", "metadata": {}, "source": [ "El código siguiene necesita tener instalado qiskit-aer ( se puede ver en este enlace), lo podemos hacer con el código siguiente:" ] }, { "cell_type": "code", "execution_count": 6, "id": "831a92fd", "metadata": {}, "outputs": [], "source": [ "#!pip install qiskit-aer" ] }, { "cell_type": "markdown", "id": "fd3fee13-00eb-47e2-ac52-917725abbc90", "metadata": {}, "source": [ "Como la programación cuántica, a diferencia de la tradicional opera mediante probabilidades, lo que suele hacerse en ejecutar el circuito una serie de veces y ver hacia qué estado colapsa en cada medición. Por defecto, la ejecución del circuito se hace un total de 1024 veces, y en uestro caso, como no hemos añadido ninguna puerta cuántica, pues el resultado que se obtiene es siempre el mismo, es decir el estado inicial del que se parte. Esto se suele obtener utilizando un diagrama de barras mediante el comando *plot_histogram*." ] }, { "cell_type": "code", "execution_count": 7, "id": "d60c6c40", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim = Aer.get_backend('aer_simulator') \n", "result = sim.run(qc_output).result()\n", "counts = result.get_counts()\n", "plot_histogram(counts)" ] }, { "cell_type": "markdown", "id": "445912cb-7ec0-4a62-865c-bd542f70e7c1", "metadata": {}, "source": [ "Veamos el contenido del resultado, almacenado en la variable counts" ] }, { "cell_type": "code", "execution_count": 8, "id": "fa8cb36d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'00000000': 1024}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "counts" ] }, { "cell_type": "markdown", "id": "93280bf1-da54-4f6a-ba0c-33818e317e6a", "metadata": {}, "source": [ "Como puede verse el resultado se obtiene en un diccionario de Python, donde el índice es la composición de estados hacia la que colapsa, y el valor es el número de veces que colapsa hacia ese ese estado. \n", "\n", "Una simulación de esta situación lo podemos recrear mediante el siguiente código, donde creamos un diccionario conteniendo los cuatro estados posibles de una base al trabajar con dos qubits, e indicando el núemro de veces que se obtienen esos resultados. La representación gráfica también se muestra a continuación del código." ] }, { "cell_type": "code", "execution_count": 9, "id": "2f8a5015-bd64-4f3c-8ce7-1be1a98f8cda", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resul={'00':200,'01':300,'10':250,'11':260}\n", "plot_histogram(resul)" ] }, { "cell_type": "markdown", "id": "f3a68c63-acf8-4d7f-83f0-e55dd3498cf9", "metadata": {}, "source": [ "## Elementos básicos de qiskit.\n", "\n", "Vamos a continuar en este apartado estudiando y conociendo algunas de las herramientas que podemos utilizar con qiskit. Vamos a trabajar con dos qubits y les vamos a aplicar una puerta de H y una CNOT. Lo hacemos de la siguiente manera" ] }, { "cell_type": "code", "execution_count": 10, "id": "17020e1d-9757-4768-9546-b00c06820588", "metadata": {}, "outputs": [], "source": [ "from qiskit import QuantumCircuit\n", "import qiskit.quantum_info as qi" ] }, { "cell_type": "code", "execution_count": 11, "id": "90c89ac9-d4ea-4c88-8fc7-86a387dc2e80", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# creamos el circuito con dos qubits\n", "qc_AB = QuantumCircuit(2)\n", "#aplicamos una puerta h\n", "qc_AB.h(0)\n", "# Aplicamos una puerta CNOT\n", "qc_AB.cx(0,1)\n", "qc_AB.draw('mpl')" ] }, { "cell_type": "markdown", "id": "f2f0f605-1759-489f-9c72-95723d716eda", "metadata": {}, "source": [ "Una vez construido el circuito, podemos obtener el vector de estado del mismo, utilizando el método *Statevector.from_instruction()* del paqute qiskit.quantum_info:" ] }, { "cell_type": "code", "execution_count": 12, "id": "e5b994e3-1b37-4092-a8b2-47c8670ef7b5", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$|\\psi_{AB}\\rangle = \\frac{\\sqrt{2}}{2} |00\\rangle+\\frac{\\sqrt{2}}{2} |11\\rangle$$" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "psi_AB = qi.Statevector.from_instruction(qc_AB)\n", "psi_AB.draw('latex', prefix='|\\\\psi_{AB}\\\\rangle = ')" ] }, { "cell_type": "markdown", "id": "cbdd6d2a-2e0a-4d97-86e4-0d3551982248", "metadata": {}, "source": [ "Como puede verse, esta es la manera de poder obtener el primer estado de Bell, que como ya sabemos es un estado entrelazado muy utilizado en la programación cuántica.\n", "\n", "```{index} Matriz de densidad\n", "```\n", "### Obtención de la matriz de densidad (density matrix).\n", "\n", "La matriz de densidad no es otra cosa más que el [producto externo (outer product)](outer) de un estado por sí mismo. Por lo tanto, si estamos tabajando sobre n qubits, la matriz de densidad sería una matriz de tamaño $2^{n}$.\n", "\n", "Es decir:" ] }, { "cell_type": "markdown", "id": "fa51f0b5-f958-4bdc-af23-2c56853b4ad5", "metadata": {}, "source": [ "$\\rho=\\left[\\begin{array}{c}\r\n", "\\alpha_{0}\\\\\r\n", "\\alpha_{1}\\\\\r\n", "\\vdots\\\\\r\n", "\\alpha_{n-1}\r\n", "\\end{array}\\right]\\left[\\begin{array}{cccc}\r\n", "\\alpha_{0}^{*} & \\alpha_{1}^{*} & \\cdots & \\alpha_{n-1}^{*}\\end{array}\\right]$" ] }, { "cell_type": "markdown", "id": "45d9ba2c-f525-4168-af00-2bb1460d4723", "metadata": {}, "source": [ "En nuestro caso concreto tendremos:\n", "\n", "$$\\rho=\\frac{1}{\\sqrt{2}}\\left[\\begin{array}{c}\n", "1\\\\\n", "0\\\\\n", "0\\\\\n", "1\n", "\\end{array}\\right]\\left(\\frac{1}{\\sqrt{2}}\\left[\\begin{array}{cccc}\n", "1 & 0 & 0 & 1\\end{array}\\right]\\right)=\\frac{1}{2}\\left[\\begin{array}{cccc}\n", "1 & 0 & 0 & 1\\\\\n", "0 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 0\\\\\n", "1 & 0 & 0 & 1\n", "\\end{array}\\right]$$" ] }, { "cell_type": "markdown", "id": "6c50d5c4-77db-4e7b-81ef-33ef64bb450c", "metadata": {}, "source": [ "La forma de obtener este mismo resultado con qiskit es la siguiente:" ] }, { "cell_type": "code", "execution_count": 13, "id": "1f7bf32b-c250-4652-adf1-70b057181d10", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\\rho_{AB} = \n", "\\begin{bmatrix}\n", "\\frac{1}{2} & 0 & 0 & \\frac{1}{2} \\\\\n", " 0 & 0 & 0 & 0 \\\\\n", " 0 & 0 & 0 & 0 \\\\\n", " \\frac{1}{2} & 0 & 0 & \\frac{1}{2} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rho_AB = qi.DensityMatrix.from_instruction(qc_AB)\n", "rho_AB.draw('latex', prefix='\\\\rho_{AB} = ')" ] }, { "cell_type": "markdown", "id": "7e82bfbf-8848-490a-b5c8-7d1d1c43227b", "metadata": {}, "source": [ "```{index} plot_state_city\r\n", "```\n", "La matriz de densidad la podemos representar de forma gráfica, mediante la clase *plot_state_city*" ] }, { "cell_type": "code", "execution_count": 14, "id": "4765bbf2-b412-4694-88ec-f58a20e26630", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_state_city\n", "plot_state_city(rho_AB.data, title='Density Matrix')" ] }, { "cell_type": "markdown", "id": "5990d8fb-2e60-424e-a92f-4fe985a5b659", "metadata": {}, "source": [ "A continuación vamos a aplicar de forma práctica lo visto anteriormente.\n", "\n", "Vamos a suponer que tenemos los siguientes estados cuánticos\n", "\n", "1.- ${\\frac{1}{\\sqrt{2}}}{\\Big(}|0\\rangle-i|1\\rangle{\\Big)}$\n", "\n", "2.- ${\\textstyle\\frac{1}{2}}(|00\\rangle+|01\\rangle+|10\\rangle+|11\\rangle)$\n", "\n", "Veamos primero el caso 1.\n", "\n", "Definimos el vector de estado de la siguiente manera" ] }, { "cell_type": "code", "execution_count": 15, "id": "f3730888-1835-4795-b29b-801628e6583d", "metadata": {}, "outputs": [], "source": [ "from numpy import sqrt\n", "\n", "sv=qi.Statevector([1/sqrt(2), (0-1j)/sqrt(2)])" ] }, { "cell_type": "code", "execution_count": 16, "id": "aff829bc-c078-4a4b-a48b-3c541f2fec57", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$|\\psi_{AB}\\rangle = \\frac{\\sqrt{2}}{2} |0\\rangle- \\frac{\\sqrt{2} i}{2} |1\\rangle$$" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "sv.draw('latex', prefix='|\\\\psi_{AB}\\\\rangle = ')" ] }, { "cell_type": "code", "execution_count": 17, "id": "b73a4687-b0ef-4b4b-83e4-1483c98e5a55", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\\rho_{AB} = \n", "\\begin{bmatrix}\n", "\\frac{1}{2} & \\frac{i}{2} \\\\\n", " - \\frac{i}{2} & \\frac{1}{2} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculamos la matriz de densidad\n", "\n", "rho_AB = qi.DensityMatrix(sv)\n", "rho_AB.draw('latex', prefix='\\\\rho_{AB} = ')" ] }, { "cell_type": "code", "execution_count": 18, "id": "06345015-cc27-4afd-8816-c52629bac7c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_city(rho_AB.data, title='Density Matrix')" ] }, { "cell_type": "markdown", "id": "8a1576a8-7269-40c7-9763-72ba4dc71f6c", "metadata": {}, "source": [ "Veamos ahora el segundo caso." ] }, { "cell_type": "code", "execution_count": 19, "id": "bc621c7d-532b-47f6-abd3-0a5311fa857e", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$|\\psi_{AB}\\rangle = \\frac{1}{2} |00\\rangle+\\frac{1}{2} |01\\rangle+\\frac{1}{2} |10\\rangle+\\frac{1}{2} |11\\rangle$$" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sv=qi.Statevector([1/2,1/2,1/2,1/2])\n", "sv.draw('latex', prefix='|\\\\psi_{AB}\\\\rangle = ')" ] }, { "cell_type": "code", "execution_count": 20, "id": "493bcc31-840c-405a-94eb-a54d308c8e8e", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\\rho_{AB} = \n", "\\begin{bmatrix}\n", "\\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} \\\\\n", " \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} \\\\\n", " \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} \\\\\n", " \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculamos la matriz de densidad\n", "\n", "rho_AB = qi.DensityMatrix(sv)\n", "rho_AB.draw('latex', prefix='\\\\rho_{AB} = ')" ] }, { "cell_type": "code", "execution_count": 21, "id": "3e386e42-653b-41d6-9359-9019dfa1f315", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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p05DVMgghhBBCioGmRRBCCCGTxM9+9jPs27cP27dvx7Fjx3D99ddTsEAIIYQQU6DKBUIIIWSSWL16NbZt24bKykp86EMfwi9+8QuUlZUVe7cIIYQQQihcIIQQQgghhBBCiD5ssXeAEEIIIYQQQgghkxuFC4QQQgghhBBCCNGFwgVCCCGEEEIIIYToQuECIYQQQgghhBBCdKFwgRBCCCGEEEIIIbpQuEAIIYQQQgghhBBdKFwghBBCCCGEEEKILhQuEEIIIYQQQgghRBcKFwghhBBCCCGEEKILhQuEEEIIIYQQQgjRhcIFQgghhBBCCCGE6ELhAiGEEEIIIYQQQnShcIEQQgghhBBCCCG6ULhACCGEEEIIIYQQXShcIIQQQgghhBBCiC4ULhBCCCGEEEIIIUQXChcIIYQQQgghhBCiC4ULhBBCCCGEEEII0YXCBUIIIYQQQgghhOhC4QIhhBBCCCGEEEJ0oXCBEEIIIYQQQgghulC4QAghhBBCCCGEEF0oXCCEEEIIIYQQQoguFC4QQgghhBBCCCFEFwoXCCGEEEIIIYQQoguFC4QQQgghhBBCCNGFwgVCCCGEEEIIIYToQuECIYQQQgghhBBCdKFwgRBCCCGEEEIIIbpQuEAIIYQQQgghhBBdKFwghBBCCCGEEEKILhQuEEIIIYQQQgghRBcKFwghhBBCCCGEEKILhQuEEEIIIYQQQgjRhcIFQgghhBBCCCGE6ELhAiGEEEIIIYQQQnShcIEQQgghhBBCCCG6ULhACCGEEEIIIYQQXShcIIQQQgghhBBCiC4ULhBCCCGEEEIIIUQXChcIIYQQQgghhBCiC4ULhBBCCCGEEEII0YXCBUIIIYQQQgghhOhC4QIhhBBCCCGEEEJ0oXCBEEIIIYQQQgghulC4QAghhBBCCCGEEF0oXCCEEEIIIYQQQoguFC4QQgghhBBCCCFEFwoXCCGEEEIIIYQQoguFC4QQQgghhBBCCNGFwgVCCCGEEEIIIYToQuECIYQQQgghhBBCdKFwgRBCCCGEEEIIIbpQuEAIIYQQQgghhBBdKFwghBBCCCGEEEKILhQuEEIIIYQQQgghRBcKFwghhBBCCCGEEKILhQvENBRFgSzLUBSl2LtCCCGEEEIMRud5hJQ2vtg7QAiQChYEQUA8HgcA8DwPnufBcRxYlgXDMEXeQ0IIIYQQooWiKBBFEfF4HLIsw2Kx0HkeISWIUSg+JEUmyzIEQYAkSUgmk+lEW1EUsCwLlmUpbCCEEEIImYTU87zM8z31XI9hGLAsS2EDISWCwgVSNIqiQJIkiKIIWZbBMAwEQQCQGmwURUlPlVCpgxCFDYQQQggh5qWew6nBAsuyEAQBiqIMOc/LPNdjGAYcx9F5HiGTFIULpCjUaRCSJAFIDSa9vb1obm6Gy+VCWVkZysrKYLPZhtxntLDBYrGkByOGYWgQIoQQQggpkmzneQCGhAvZ7jP8P6pgJWRyoXCBFJwsy0gmk+kUW1EUNDc349SpU2hsbIQgCAgEAhgcHITD4UgHDWVlZbBarenHyQwb1IEqW+JNYQMhhBBCSGFkTn/IDALUwGG0cGE4qmAlZPKhcIEUjDoNQh1YWJZFLBZDU1MTZFnGokWLYLFYAKQGD1EUEQwGEQgEEAgEEA6H4XQ600GD3+/POWxQKxvUQYgQQgghhBhn+HTX4Rf9+YYL2R5/rC+VqIKVkOKjcIEUhCzLEEVxSHlcZ2cnDhw4gLq6OsyZM2fEXLzhBEEYEjZEIhG43W74/f502KCGEwCFDYQQQgghhZBtGsTwczm94UK2bVIFKyHmQuECmVCZzXzUA78kSTh48CB6enpwwQUXYMqUKenb5jPoJJPJIWFDNBqFx+MZEjbw/NnVVtVBqLW1FcFgEPPnzx9RWkdhAyGEEEJI7tSq1GzVCpnU8zz1dkZTz/O6urrQ0dGBxYsX05dKhBQYP/5NCNFGXdNYFEUAqRQ7HA5j9+7dsFqtWLVqFex2u+bHt1qtqK6uRnV1NQAgkUggEAggGAyiubkZ8Xh8RNiQOTeP5/n0QJdMJtPJNoUNhBBCCCFjyzzPU6e7FrNCILNyAQA4jkvvo7oaGX2pRMjEonCBTIjMZj7qwf7UqVM4cuQIZsyYgVmzZhk+ANlsNtTU1KCmpgYAEI/H01UNhw8fRiKRgNfrBcdx6fmAmYNKZpVF5pKYmYOQOpePEEIIIeRcNXy6a7GDhWzU88/M87zML5UAChsIMRpNiyCGytbMRxAE7Nu3D6FQCIsWLUJ5efmo9zVyLt5wsVgMgUAA7e3tiEQiUBQFPp8vXdXg8/mGDCiZ8/gy5/Kpg1DmXD5CCCGEkFKXbbprrudBEz0tQtXT04NTp07h4osvHnd/1PM8FVWwEqIPVS4QwyiKgoGBASiKApvNBpZlEQwG0dTUBI/Hg1WrVg1Z3aHQHA4HHA4HZFlGX18fZs+ena5saG9vhyiK6bChrKwMHo8nXVqnPj91QFWnUbAsO2IuH4UNhBBCCCk1iqIgEolAEATY7XZTN0rM5bvTzCkU6n2ogpUQfShcIIaQZRnJZBKHDx+Gy+XCrFmz0NLSguPHj+P888/HtGnTNB+MD56IoMzDoKbCaeg+O51OOJ1O1NfXQ1EURKPRdNjQ2toKWZaHhA1utzunsGF44k2DECGEEEImM/V8p6WlBZIkYcGCBcXeJcONFTYM/1KJKlgJyY7CBaKLOg1CLY9Tp0Hs2rUL8Xgcy5cvh9fr1fjYwEMbk9h1IA5ZlsFIXaj2Clg024Grl1Wjwq+tGWS2QYBhGLhcLrhcLjQ0NKTTeTVsOHnyJBRFSTeHHB42qAm5GrIkEgkKGwghhBAyqWWb7qr2WTAro86zcg0b6DyPkLMoXCCaDV/TmGVZJBIJdHZ2ora2FhdddNGQpSDz0Tsg42ePx9AfigMAGIYFeB96osDLTcBLuwfBSO2o9Yu4aK4LVy2rhtdl3JQLhmHgdrvhdrsxdepUKIqCcDicDhuOHz8OhmGGhA0ul2vUsGGsxkE0CBFCCCHEbLKd5zEMk9OUg2KbiH3MDBvoSyVCsqNwgWgyfE1jRVFw6NAh9PX1obKyEgsXLtT82Dv2Sfj9y+Exk/FU2OBHZxj42zvAX98OglMGUF8u4eJ5Hqy+pApOu2XU++c76DAMA4/HA4/Hg2nTpkGWZQwODiIQCKCvrw8tLS3gOC7dHLKsrAxOp3PIIKT+l0gkKGwghBBCiGmpF83qeZ56bsIwDGRZ1vSYZu7RkC/1eVDYQMhQFC6QvGSuaQykLo6j0SiampoAALW1tZqbNkqyggefS2L3kcG878uwHGSUoTUEtL4JPL2jHxYMYFqVgmULPLh8aTWsFm78B8oRy7Lw+Xzw+XwAUoPJwMAAAoEATp8+jaNHj4Ln+SFhg8PhSM/VGx42ZA5CFoslPQiZcWknQgghhJSmbNNdM89DJkvlQqGNFTbQl0rkXELhAsmZOs9MTawZhkFHRwcOHDiAqVOn4vzzz8eRI0c0DTqd/TJ+8vsQgoNxQ/aV5XhIKMfxfuD468Aft/bAxgyicQowd6qMer+xAyPLsvD7/fD7/QBSlR1q2NDd3Y0jR47AarWOCBsAjAgb4nF1KgiFDYQQQggpjNGmQWRSq1XNzAznSZlhQ7YvlTLDBnXFMZ7n6TyPTHoULpBxZTawyWzmc+DAAZw+fRqLFy9GVVUVAG3lcq+8l8RjLwUntEEQy1khoALNp4Hm04AsJuDYfBgza1msWlSGZRdUGHowV6dIlJWVAUiFDaFQCIFAAB0dHTh8+DBsNlv6NmVlZbDZbOn7jhY2DO9QTIMQIYQQQvTKrFYYa/rCZKlcMNs+Zr6m9KUSKWUULpAxZUuxBwYG0NTUBLvdjlWrVsFuP7tqQz6Djigp+M+notjXMjAh+z4WlrchARsOdgIHO4H/fvoQPnG5gr+7av6EbI/jOJSXl6O8vBwAIIpiOmxobW3FgQMH4HA4hoQN6vSSzEFIluX0IMSy7IjyOhqECCGEEJKr4dNdx+uLMFnCBbOjsIGUKgoXyKjUagVJksCyLADg5MmTaG5uxsyZMzFz5swRB7hcB52TPRJ+9lgIg5HEhOx7Pgb7jqP7xBvonLu0YNvkeR4VFRWoqKgAkAobgsFgetnL/fv3w+l0poMGv98/atig3ra+vp7CBkIIIYTkZPh0V/Vcbyx6w4VCnJNMxvOescKGw4cPg2EYTJ8+nSpYielRuEBGyLamsSAI2Lt3LwYHB3HxxReny/2HY1l23GkRf3szgT9tCWruNmwUWZbQe2oXQqcPAyhuCR3P86isrERlZSUAQBCEdNhw/PhxRCIRuN3udL8Gv98PiyW1GoYoiukyRkmSIEnSiAaR6mBUSp2aCSGEEJK/bNNdcz030BsuFOpca7JXV2Ser8mynD6nUxtExuNxqmAlpkThAhki2zSI/v5+7NmzB36/H6tWrUpf1GYz1qCTFBT87IkIjpzMfzUIownxQXS2bEMi2pf+mZkGIovFgqqqqnQvi2QymQ4bWlpaEI1G4fF44Pf7EY/H4Xa704MMcHbpSzUkUgep4Yk3hQ2EEELIuSOXpo1joWkRhaeu2pFZWZJ5njf8SyUKG0gxUbhA0tRmPmqKrSgKjh49ihMnTmDOnDmYOnXquAeo0Qadlg4JDzweRDSWnKjdz1k4cArdx7dDloQhPzfzWGm1WlFdXY3q6moAQCKRQCAQQCAQQDgcxsDAAHp7e9NVDX6/Pz2oAGcHIVEUIQjCkLBBrWzIvD0hhBBCSsvw6a5aLjq1NO4utFK7mFarUzOp53HZvlTKDBvUL5WogpUUCoULZEgzHzUdjcfj2LNnD5LJJFasWAGPx5PTY40WLvzmBQ4inOB4FpKYAFD4K3lFltHb9i6C3QdGu0VB90cPm82Gmpoa1NTUQBAEeDwe2O12BAIBHD58GIlEAl6vNx02+Hw+ChsIIYSQc1C26a5aLzAnS+XCZNjHfOTy5V62sCHbeR5VsJKJROHCOU6WZYiiOKQ8rqenB/v27cOUKVNw8cUXg+O4nB9vtEFHYaywOWyAA1AUGZKYgCTEIQpxyNLEN3UUkhF0tWxDPHx61NsUahwSRBkW3riLdkVRYLFYUFtbi9raWgBALBZLVzZ0dnZCEIQRYUO2aRTqIARgRGkdhQ2EEELI5KJ3GsRwamUrKRwtr3c+YQN9qUSMROHCOSqzmY9abiXLMg4dOoSOjg4sWLAgfaGaj9HChcxxjGFY8BYHeIsDNpwJG84EDZIYGzFdQa9IqB1dx16HLI4dYkz0YCnJCv77eQF7mkPgpBAaKiRcssCDK5ZWw27T91EcfqLgcDjgcDhQV1cHRVGGhA3t7e0QRRE+ny+9GoXH48kaNgiCgGQymR6EKGwghBBCJofh012N+IZ6slQulJJs0yLylWvYQOd5RC8KF85Bw1NshmEQiUTQ1NQElmWxcuVKOJ1OTY+dS7gw8ncseKsTvDW1TVmWIJ0JGkQhDkUWNe2Losjob29Cf+eeHG+vaTM56R+U8ZM/xhAIxQGwkLgynAwCJ3cAT77WCysziGlVCi5d6MOqiyphyaNaZLxBh2EYOJ3O9HKViqIgGo2mw4bW1lbIsjwkbMjWIFINo9TKhuGDkDqXjxBCCCHFkzndFdBfrZBpMoQLk2Efi220sEH9UgmgClaiDYUL55jhzXwAoL29HQcPHsS0adMwe/ZsXQeOUcOFPB6DZTmwNhcsNteZnRYQ6DkCSYiDszrBWxzjPoYoxNDV8hpig105b3eiBqL3j8r47V8G04P8cCxngYhyHOsDjm0F/u/VHtjZQcyoYbDyQj+WL6wAx43+N8l3vxmGgcvlgsvlQkNDAxRFQSQSSYcNJ0+ehKIo6WUv1bAhc3pMZtiQrbIhcy4fIYQQQgojc4lJYOiShkbQe+FO5wX5M6JyYTzjhQ1U2UByReHCOSJbMx9RFLF//3709/djyZIlqKys1L0ddQ3e4XQdE1kLymoWpP8ZG+xGLNwDWRTA21zgeNuQm0cHutB17DVIQiyvzUxEtvD4FgGvvjOIfJpFspwVSVTgcDdw+GXg4Y2dcPJhzKrj8IElZbhoXnnWrsFaMQwDt9sNt9uNqVOnQlEUDA4Oppe+PH78OBiGGRI2uFyuccMGlmVHzOWjkwpCCCHEeJnjsJHTIIajqoBzQ7awgSpYSS4oXDgHZGvmEwqF0NTUBKfTiVWrVsFms43zKLkZbdBhDTzWODxT4PBMAZCaQhEb6EQ80gdFkRAJtqGvfTe0rfxg3GCZSCr46ZMJnOqM6H4slrcjDjv2dwD7OwD5uXa4rRGc38DjiqXlhi8JxTAMvF4vvF4vpk2bBlmWMTg4iEAggL6+PrS0tIDjuHRzyLKyMjidzpzChuGJNw1ChBBCiD5GN20cy2QIFybDPuajEJUL41GbP6rG+lKJKljPbRQulDhZlpFMJtMpNgCcOHECR48exXnnnYfGxsaClMsxjIL8JkfkhmU5uPwNcPkbAADth1+C1pDAqGHoZLeMnz8ZQSyeNOgRh2J5B6KyA7tPAbtPyZCEKrgt/Vg4M4bVl1Ri9jSvsdtjWfh8Pvh8PgCp99TAwAACgQBOnz6No0ePguf5IWGDw+FID0Lq+0F9L6prL1PYQAghhOgzfLprIcrn9XypQeO8NmZ73fIJG6iC9dxC4UKJUqdBqKtBsCyLZDKJvXv3IhKJ4JJLLoHf7zd8u1oaOhq8A5rvakTK/er7Ep7cPGB4NcFYOIsLMbjw9jHg7WMCZOEkyl0xXHeJA9eunG749liWhd/vT79/JElKhw1dXV04cuQIrFYrhQ2EEELIBMk23bUQY+ZkqAootXMHs7/ewNCwIfM8jypYzz0ULpQgWZYhiuKQ8ri+vj7s2bMH5eXlWLlyJSwWy4RsuxDTIsbZA8331HPsVhTgweeTaDoyqP1BDMLwLhw7cQxPdXVMSLgwnDpFoqysDEAqbAiFQggEAujo6MDhw4dhs9nStykrK4PNZhsyCKn/JRIJJJNJhEIhsCyLiooKGoQIIYSQDIWcBjEcy7KT4mJ3MuxjrswwLSIf6r6O9aVSOByGLMuoqqqi87wSQ+FCCVFT7Myuroqi4MiRIzh16hTmzZuH+vr6Cf3gFjtcYHSFC9oGov5BGff/MYb+UFzzto0iSwK6jm1HJHgK1efVFGUfOI5DeXk5ysvLAQCiKKbDhtbWVhw4cAAOh2NI2GC1WtP3VRQFp0+fBsdxcLvdQyob1NI6nucLejJFCCGEmIEoikOWCiz0OKi3ckH9MoHkZzKf72QLG4LBIKLRKLxe75hLX07m532uonChRKhrGre2tqK1tRXLly9HLBZDU1MTJEnCpZdeCrfbrfnxO3tjqKmwj/shH20uHlOolWp0TYvI/z5NLTJ+8/wghFGWmSykZCyEzqNbkIyHAABs4cpFxsTzPCoqKlBRUQEgdWKkrkRx8uRJ7N+/Hy6XKz2FQp1uoc7Ty6xsiMdTAU5m2KAOQhQ2EEIIKVXqeV53dzcOHjyID3zgA0UZ8ybDtIhSU2qvt/oeynaep1awAhQ2TFYULpSAzGY+6ge2q6sL+/fvR11dHebMmTOk6Uo+JFnBg3+O4d2DQchiHF5bBPMbbbju0mrMnu4fcftiVy7oaxqZ38H7ia0iXnlnYGLWsMxTJNiKrmOvQ5aE9M9Ykx6AeZ5HZWVleulTQRCGLHsZiUTA8zycTic8Hg/8fn96Go9a2ZAtbBjeoZjCBkIIIaUgc7qrep5VrPFtMoQLpTj2l9pzkmU5/ZzUamtg5HleIpEYUcFK53nmRuHCJDZaM59oNIoDBw5g4cKFmDJliubH7+qXcd8fQggOxAEwYHkHwpIDb7cAb7fEIAunUelJYPFsB9asqkVNhXPUuXgFmxZRoMqF/3pOxp4jAzBy+UotFEVBf8ce9HfsHvE7s1QujMdisaCqqgpVVVUAkG48qigKWlpaEI1G0yGDWtnA86lDV+YgJMsyhQ2EEEJKRmYHfjVQ4Hm+oE2jh5sM4QJQWt/2l9JzUanN5rMZK2ygClbzo3BhksrWzCccDuPw4cOQJAkf+MAH4HA4ND/+5veS+P1LwfTjZ8Na3OiPu7F5L/DqngAY6RSqvQlUO2VcvEyA23m2aeRkWC0iH+1BL9xlXkhiHJIQhyjGIYuJgmxbJUlJdB/bjkiwNevvRztom53VaoXVaoXP58O0adOQSCQQCAQQCATQ3NyMeDwOj8eTDhr8fn+6Mmd42JBIJBCPx8Gy7IjyOhqECCGEmJU6DUI8M+1SveDSuxSkXpMlXCglk62hYy5kWc65qjrXsIG+VDIHChcmIbXbqlqtAACtra04fPgwqqurEQwGNQcLoqTgP/8Uxb6jA3ndj2FYgPehJwr0RKvx5Z93wYJBNFYDqxaXAUo9gIm/2NXT0FHOc7BkGAa8xQHe4oANgKLI6aBBEmJDpigYLRkLoePoFghn+itkU6jKha5+Bc9ubsPSuQ5csqDCkAN5ZqJts9lQU1ODmppUg8p4PJ4OGw4fPoxEIgGv15sOG3w+34i1l9UqH0mSRl36kgYhQgghZjB8umvmlwUsy5oiXDDzBa9Z90uPUntOY1UujGe0sCGzgpW+VCoeChcmEfUCSS2PY1kWoihi3759CAaDuOiii8CyLAKBgKbHb+2RcP9jIQxG9H8Dz7I8JJShpRdoeQWQxGMQkhFwrAUOzxTY3VUT8wHXMy1C1pfEMwwL3uoEb3UCAGRZOlvZIMSgyMY0fQwHWtF97HXI8tjhRSHChfePyvjt8wMQJSfeOw785i8dcFnCmN3A4YqLyrFwdpmmv3PmXLzh7HY7amtrUVtbCwCIxWLpsKGjowOiKI4IG9RBBhgaNoiimB6khifemYMXIYQQMtFGm+6aqdhLQar7Y+ZwASitqQSl9FxUY53n5Wu0sEH9UokqWAuLwoVJIts0iGAwiKamJng8HqxatQpWqxXBYFDTQeiFtxJ4anNwwtJwjreB420AAFGIIth9EKIQB2+xw+mrh83hM2hL2g8SkUgEsVhM13SSTCzLgbW6YLG6AACyJEIS40iG25AUFPDW/LaT6q/QhP6Ophy3P7GVIs/uEPHCzqENLVnejphix55WYE+rAllsg9cWxZxpFqxeWoG5M3L7O2dW5YzH4XDA4XCgrq4OiqIMCRva2togSRJ8Pl962UuPx5M1bBBFEYIgjBo2TNZpJoQQQswv23letgsftXKhWBf3mWOnFnQxlz+zBzla6KlcGI96HpftS6XhFayZS5zTl0rGoHBhElCrFTIvuI4dO4Zjx45h9uzZmD59evrDkG+5nCAq+NnjERw+OTgh+z6azG/4k7EAIoFTkGUBNmc5POWNmh9Xz0EhGo3hzTffhM1mQ3l5efpi1Gq1an7MTCzHg+XcsNjmwgUgNtiD2GA3ZFkAb3Wlw5dsJDGJ7uOj91fIhpugygVJVvD/PZvEgWPhcW/L8k6EJSfePQ68e1yELJyE3xnD/EYrrr6kCo31nqz30zqQMgwDp9MJp9OJ+vp6KIqCaDSaDhtaW1shy/KQsMHtduccNqiDEIUNhBBCjDJ8uutY41+xKwcyt29WdIFofvl8iaTXWGEDVbAaj8IFExvezIdlWSQSCezZswfxeBzLli2Dzzf0m+B8woXjnRJ+9scQIrHCNiLMhrc60dv2LkQhpitc0KOisgIf+MAHEAqF0N/fj5MnT2L//v1wu93pC9HMlQr0cniq4fBUA0gdZGODnYiHe6EoEiw2D1gu1RAz1V9hM4R4fn0wJmJaxGBUwb1/iKE3GNN0f9bixoDgxpvNwJvNScjCCVS441g4046rllWjvlqdUmLMoMMwDFwuF1wuFxoaGqAoCiKRSDpsOHnyJBRFSa9EkUvYAGRfe5nCBkIIIfnINt11vIsZdawp5MVZpskQLgDm3798lGrlQjGXU80WNtCXSsagcMGk1GY+alDAMAx6e3uxZ88eVFVV4aKLLsp6kZtrF+FnX0/gudeDUJTiNQVSCYkwOlu2IRHphatsmr4H03OgUgCe51FRUYGKigoAqWURg8Eg+vv70ysVeL1eyPIHAOTW5TYXLMvC5auHy1cPIDWFIhJqRyTUhq6j28btr5D9MY09aLd0yPjPp8JIJI1rVMlaPAgkPHjtILDtQBQQu1HlTaLKKcJXIaK62rBNAUh9PtxuN9xuN6ZOnQpFUTA4OIhgMIhAIIDjx4+DYZh0kFRWVgaXy5U1bBAEAclkMvU8KGwghBCSh1ynQQynd1qCXnrDhVK7SC6UUnvdihWOZUNhg7EoXDCZzDWN1Q+eoig4fPgwWltbMX/+fNTX1496f/X2oyWC8aSC+/8YxrG28UvaCyESbEPXsdchS6mLNOgcLPWsFqFg5LatViuqq6tRfeYqNx6Po7+/H9ijeTM5YTkenvLpkMSYpmABMLbnwmt7JPzh5YEJ7VDNMAxg8aI3BvTGKnHgTzIYqQU1PgGLz3fhmuVT4PMYM0Ulc5terxderxfTpk2DLMsYHBxEIBBAX18fWlpawHHckLDB6XSOCBvUz6xa2aCuRa6GDepcPkIIISSzWiHf0uvMyoViUPe1mCtWnGtKqQpDZWRDR6ONFzYA9KXSWChcMJFsKXY0GkVTU6qB38qVK+FyucZ8jMwPwvAP7aFTIn75VAixeHIC9j4/iiKjr/19BDr3Dfu5zgOontUicti03W5HXV1d6nUuxLiq4/UwqufC+k0CduzJb0qGEVLLm/rRFQFefB/Y+G4QTLIT3/t8A6bXV0zINlmWhc/nS083kmUZAwMDCAQC6OnpwdGjR8Hz/JCwweFwjFj6Ug0bkslkepCisIEQQs5tw6e7apnTXeyLeyOmRUz0+FeK42upPaeJbOhotNHChrHO887lsIHCBZPIXNNYLY3r6OjA/v370dDQgDlz5uT0Jh1tLt5f3hTx9OY+U0yDEJNRdLa8hni4e+Qvde6frsoFEybD2aopcsXpPKglRQU/fTyBk50RXY9jlHikFx1HtyMcualg22RZFn6/H36/HzNmzIAkSemwoaurC0eOHIHVah3Sk2OssCESieDEiROYM2cOeJ4fUl5XaicOhBBCzho+3VXrhYd6IVPMaRHF3H6uzL5/+Sil56Iyc+XCeLKFDZlfKjU3N2PWrFmw2+3n5JdKFC4UWbY1jSVJwsGDB9HT04NFixalS/JzMVqi/d4xB1y+eohiHJIQgyjEociioc8lF9FQB7qOvQ5JjGf9vZ6LaQATXrlQcDr2ieW0vxY9QRk/eSyKwUjxm30CwEDvUXSf2AkoMhx2S9H2Q50iUVZWBiBV2hoKhRAIBNDe3o5Dhw7BZrOlb1NWVgabzZYOG5LJJHp6ejBnzpwhiXe28rpzZRAihJBSlm26q97je74rgxltMoQLpaRUGzqWyjf7aj8GABBFEV1dXZg1a9aolQ2Zq1GUIgoXiijbNIjBwUE0NTXBarVi1apVsNvteT3maHPxWBZgWA4WqwsWa2pqhSwJEIUYJCEOUYzrrhoYi6LI6O/Yi/6O3ePdUOeWcvug2t1VkCURyVggc+M6tz0RtO+T1oP2nmMy/ue5wXTZZjEpioK+tvcQ6Do7fcZhN7bvgh4cx6G8vBzl5eUAUoOKGja0trbiwIEDcDgcQ5Y1ZVk2PQipJ2fqMmSZay9T2EAIIZOb1qaN46FwYWylOF6W2nOazJULY1E/lxaLZdTKBvU8b3iDyFJ5PShcKBK1mU/m9IVTp07hyJEjmDFjBmbNmqXpTTbaXDg+y3Umy1lg5SyA3Zt640vJdNgwWmWBFqIQQ/ex7YgOdIx/Y73TInJ4zaobV8FXdV5632KDXYiGOjEQM9+HWs/gzXP5hwt/eVPEX7YPmOKkQZYEdB3bjkjw1JCfF7NyYTzDVxsRRTG9EsXJkycRDofBMAwOHz6cnkZhtVopbCCEkBKTbbqrUShcGJ/Z9y8fpfRcVKVUuZBJkqQRvVQyKxuA0cOGUjnPo3ChwDKb+agfLEEQsG/fPgwMDGDp0qXpb0G1UN+g2SoXxrsfx9vA8TbAkao0kIQERDEGSYhBlrStWBAb7EZny2uQhGhOt5/QaREMh8aFN8FiO9sUk7c44CmfAU/5DPQD+MK9p+B3RnHBDBuuWV6NqTVjN9CceHoqF/I7KD33JouNO+OmGMSEZASdzZuRiPaP+J3DYZ7KhfHwPI/KykpUVlYCAHp6enDkyBEwDIPjx48jEonA7Xanm0P6/f50ig0MDRsSicSYS19O1kGIEEJKSbbprkYfn4t9cV/s7Z+LSm2MN9NSlEbKJUzMDBtK8UslChcKSJZliKI4pDwuEAigqakJPp8PK1euhNWq/8KJYZgR4UK+X2IzDAve6gBvdQAAFEVEsKcZkhADx9vBW53jPkagcx96295DXhfIEzQtwuaswLQFHxr33qzFhQHBhTeOADsOxwCxG9U+AUtmO3DNpVNQ5rHp3L886Xg98g0X2vptcHprzwRL8TP9OeJnlwktkHikFx3NmyEJsay/t1km72GLZVlYrVacf/75AFI9GNTKhpaWFkSjUXg8niFhQ+bAonYoVhQFiURiyCCkhhI8z0/IySwhhJCxTdQ0iOGocmFspTb+mfm11qoU+0gA+Ycm6mtQSmHD5D1Ln0Qyy18yP0wtLS04fvw4zj//fEybNs2wN0m2QSfbtIh8MAyPsinz0v+ODfYgGu6GIgngbW5w3NlQRBIT6D6+A5Fga97b0XsAzbZaRFnNQlROW5r3hTrDMIDFh9NR4KUmYNP7IbDyABoqJQQHK2F3N4DlJvYjVMjVItQZKalgyZkOkBRZSgcNkhCDPIGNQAf7T6D7+HYosjRh28hVPKngf57pht8Rw9XLqjCt1q37MYcPOlarFdXV1emmrYlEAoFAAIFAAM3NzYjH4/B4POmgwe/3pweg4WFDPJ6ayjQ8bIhEIvD7/SX5DQEhhJjF8OmuE3nib4ZwoZjbz0UpXZCX4oV4KVcuZE6ByFe2sCHzS6VsFazhcHjI+WGxUbgwwYan2AzDIJFIoKmpCclkEsuXL4fX6zV0myzLjjiocpyxB1mHpxoOT+qCSJYkRELtSMT6ISWj6D6xE2IyrOlxdQ8Gww6+DXM/mNpPAwYZhuWgsGVoDab+Pdh/HEJiEAzLw+6ugtNTY/zBX8d+c3mWq8ijbGpEI1BZTFU2CHFIYsywIKC/Yw/62t835LH06gnKuPcPEUSiFgAW7DgcB8TTqPQksHCWHVcvr0ZNxfjVO8ONN+jYbDbU1NSgpqYGABCPx9Nhw6FDh5BMJuH1etNhg8/nGzNsGBgYwIwZM9DX16druhUhhJDsMqe7AhNXrZDJDOFCKV28TwalFi6UYmACpEITIy/yM/s3jFbBOnXqVLzzzjuYP3++YdvVg8KFCZStmU9PTw/27t2L6upqLF26FDxv/J9gIioXxtwex8FTPg0eTEPPybc0BwspxkyL4CxONC78KFhu4pr/sZwFNmfqgk0WEwj2HIaYjILjrXB662B3GXExp/316OnuRktLC8rKyoZchI4m1/MUluXB2tyw2FLf5CtyEoHuI5DEJCw2Jzg+vxVOZFlCz4k3MNh3bNzbFmIcOtIm45d/GoQgnK3QSFWxeNEXB7buB7bsi4CRulDtFbB4tgPXLJ+CMt/4U2bUY0Gu7HY7amtrUVtbmw4M1LCho6MDoiimw4aysjJ4vd7043Mcl65mcLv1V10QQggZKnOJSWDohcBEKvbFfbYvscjEKcXXupQrFybyeQ0PG0RRRCwWg8tV7B5xZ1G4MAGyNfORZRmHDx9GR0cH5s+fj7q6ugnbftaeCwWqlGEYnR8ovdMiGAbusumonX2lIdUK+eAtdvCW1IW1kBhAdKATshiH1VkOb8UMTY+p5yn4fF4kEgkcPHgQgiDA5/OhrKwM5eXl8Hg8I06AZEXbCRHDWlFee0HqMWQZsXAX4uFeKLIIi80zZsAjCnF0Ht2CeLgnt21N8Enbjn0SfrdpYNxvhBiGBXgfetQpM7sHwEoDqPGLuGiuC1ctq4bXNbJ/ip5Em2EYOBwOOBwO1NXVQVEUxGKxdNjQ1tYGSZLSf+fOzk54PB7YbLYxQ8xdu3bhBz/4Ad544w0IgoCFCxfim9/8Jj7xiU+Mu0+KouDFF1/E888/jx07duDkyZMQBAGzZ8/G2rVr8c1vfjPrcrpj/R1vu+02rF+/PqfXhBBCiiFzumshpkEMR5ULYyu1b8RL7Vt+9Zv3UnpOqkKHJuFw6gtdj8dTsG2Oh8IFg2Vr5hOJRNDU1ASGYbBy5Uo4nfmXU+cj26BjKdD7nGH1pRgK9A2W/inz4fBMKXiwkA1vdaDv9CEkO/doDhf0VC74fV7Mnz8fiqIgGo2mL0JPnUot7ag2DSwrK4PL5Rp1WkQ+WJaFy1sHlzcVnsmSiMhAx5lVHxRYbF6wZ94jiVgQHc2vQkzkXukykQPRM9tFbNw5AC2vOcOwUHg/OsPA394B/vp2EJwygPoKCZfM8+CKi6vgtFsMTbQZhoHT6YTT6UR9ff2Qv3NXVxfWrl2LaDQKWZbxs5/9DFdddRWWLFkyJGjYsmUL1qxZA7vdjltvvRUejwdPP/001q5di9bWVnzrW98acx8SiQRuuOEG2Gw2rF69GmvWrEE8HsemTZvw3e9+F3/+85+xdevWrMe86dOnY926dSN+vnjxYr0vDSGETJhCNW0cC4ULuSmlC9hSeR7A2UqMUq1cKGTvg0gkAsBcFaoULhhI7eyZmVq1t7fj4MGDmDp1Ks4///yCfJCylavxfGEGAd0HP427qSgKErHAmT4QxR/wJDGBrpbXEB3ogKtsmvYH0rNaxJmeCwzDwOVyweVyoaGhAYqiYHBwEIFAAH19fWhpaQHP84jFLgdgbFkVy/HwlE2D58xrIIlJREJtiA50oqtlW95LnE7E2KoowP/8JYn3Dw8a9pgMy0FGqj9H607gT9v7YcEAKt0RzJuq4LzZEqwWYwef4X/n48eP4+GHH8aPfvQj7Ny5Ez/5yU8gyzJ++tOf4ktf+hJEUcQdd9wBlmXx2muvpS/q7777bixbtgx33XUXbrnlFkyfPn3UbXIchx//+Mf4yle+grKysvTPBUHAzTffjL/85S948MEH8e1vf3vEfRsbG3HPPfcY+hoQQshEyjbdtRgoXBhbKV2IA6U3LSJzGlGpMbrnwnii0ei4FaqFZp49mcTUaRAtLS1IJpOYPXs2JEnC/v370dfXh8WLF6Oqqkrz48uyAobJ/UNY6J4LQ+icFqGlckGWJcTDPZDEhK5tGyURDaDz6BYIidTFarYVLHKlZzjhRlmKkmEYeL1eeL1eTJ8+HbIsIxQKYWvrxL9JON4Kb8XMM0tc5hcsAABr8EAkiAru+2McrV1RQx93OJbjIaEc3bFydB8BNh/sgY0dROMUYOVCPy5dVJl3A87xcByHadOmoba2Fn/+858hSRKamprS6fbmzZvR0tKC22+/fUi1gM/nw1133YV169Zhw4YNuPvuu0fdhsViwXe/+92sP7/zzjvxl7/8Bdu2bcsaLhBCyGShnue1trYiEAhg/vz5Rb0wKvZqDWYPF1RUuWBOpV65UOhpES6Xy1TvDwoXdJJlGaIopnssqB3am5qa4HA4sHLlyqxzjnPVdlrCz/4YRH9/AOWuOBbPtuODH6gbs1P95O65kN/NRSGOePg0FKX4SxcC6lKKO6AYtVxjAVaLYFkWZWVl4CwjewRMFK1/L3aUwESLgaiCf/9dFKHBuGGPmSuWs0JABZp7gOZXgUc3dcHB9OLuOxpRXWHc6jGRSCTd5IfjOFx00UXp323duhUAcN11142435o1awAA27Zt07xtiyXVa2O0ND0YDOK3v/0tent7UV5ejlWrVmHhwoWat0cIIRMhcxqEKIqIRqNFP5EvdkPFyRIulIpSe61LvXKhGOGCmVC4oFFmMx81GWVZFoODg3j77bcxc+ZMzJw5U9cH58VdSTzxSiD1RrW4EEy6znSqD4CVTqK+QsKlC3249tJa2Kxn/5RZey4U6C+tO1zII11IxgeRiPbp3J4xFEVGX9v7CHTtM/qRNd+Tz/ObcEVjQ0cttC5fadQBu7VHwf2PDyKRyL96YiKIQhyHjuxEIjnV0MeNRCKjzsNrbm4GAMyePXvE72pqauB2u9O30eKRRx4BkD28AICmpiZ86UtfGvKz66+/Hhs2bEB1dbXm7RJCiFEkSRrStJHn+aJWDKjMMC3CDK/DaErxorWUnpMalpTSc1IVuudCNBqF2+021WtJ4YIGw9c0ZhgGyWQS7e3tiMViuOSSS4bMP86XICp44IkIDp3IPgdcbR7XFgKe2g48sa0DDm4As+s5XLWsKmuibPD07lEVcrUIi82dKjcX4hCFGGQpqW/bGmX2V8hOx7QIA3ou5L4tzZvKm6JoOykZbapHPt4/KuM3zw+km3EVWyzcg44jmyFLCfg82qucsolEIqM2kA2FQgBS0yCy8Xq96dvka+PGjfjNb36DefPm4Qtf+MKI33/rW9/CzTffjPPPPx9WqxX79u3Dj370I2zcuBEf+tCHsHPnzoIOzoQQkinzPE9RlHR/hWJf1KuKfXFPlQuFVUrTOwAUZYWVQpFluaD9D8Y6zysWChfylNnMRx1o+vr6sGfPHthstvQycFod75Tws8dDiERz7x/AchYkUIF97cC+ZwVIgh8eay8unpvEBy+rRV21C5aCNXTU23Mh9/1kGAa8xQHe4oANZVBkCaIYhyTEIApx46YmjCER7UfH0S1jr3ig69iZ39+NtzghCqn+AVye3/IbsVpEropVubBpl4Snt4VMc1IUDpxCV8tr6WkiHpfx4UKhOwjv2rULa9euhc/nw1NPPQWbzTbiNg888MCQf1966aX461//iquuugrbtm3Dc889h4997GOF2mVCCEnLnO4KDF0NgmVZUwTTxQ45ij0tI1eTYR9zUSrPQ1VqYUkmSZJgtRZumnE4HDbVShEAhQs5U5v5iKKYTtwURcGRI0dw8uRJzJ07FyzLoq2tTfM2/rwjiT9vC2j+VlfFWVyIKi68dhDYdiAIRmqF2yYhLJXD6WsAx03gn72AlQsjN83BYnXBYk3NPZIlAaIQhySmwgbofF2HG+w7ju4Tb0xwiJH761Ez83K4y6dDlgTEBruxY5+A+vo+XDSvPKeD+KSoXOC0D0YbXhKwvWlA8/2NFuw5jNMn30Lm39jowXascEGtWBitOmFgYCDvoPSdd97BddddB5ZlsWnTJixYsCDn+7IsizvuuAPbtm3Djh07KFwghBRUtumuw4/JHMeZonKh2Bf3VLlQeKV0MV7ovgSFVOjVIjJ7a5kFhQs5yLamcTweR1NTE0RRxIoVK+DxeNDd3a0p0Y4nFfz08TBaWsf49lsjhmEB3ofwmd0K9x+HkBgEw/JweKbA4a429IBVyJ4L42E5C6ycBYAnddIgJSEKMUhCHJKovYlfqr/Cewh07c/xHhM9LYLB9AtvgtXmAQBwvA3usmnoF4Ff/w2Qn2uD1xbFvOkWXL2sErOmZm8YOBkqF/KtxlD99/MS3j9snmCht+09BDr3DvnZRJw3jDXoqL0WmpubsXTp0iG/6+rqQjgcxrJly3Le1jvvvINrr70WsizjpZdewiWXXJL3/lZWVqb3mxBCCiXbdNds50bFrhjI3I9iVlCYPVwopQtxgCoXJpNCrxah9lwwEwoXxiHLMpLJ5JD5QV1dXdi3bx9qa2sxd+7cdEKlZdA53CriP58MIRYvTL8AlrPA5iwHAEhCDMHug5DEODiLEy5/ffoCVStG5wdqoo6fDMOA423geBvgSC1fGe4/gWQ8BIblYbF5cjrQSWL8TH+FzonZ0TxxVhdmXPixMUMdlnciLDmx6xiw65gAWTiBSk8CF86y49oV1agudwAodOWCtpMiXuOaqif7fXD7PWemzaT+k+XCN3NUZBndJ97AYF/LiN9NxEAbiURQV1eX9XdXXHEF7rvvPrz00ku49dZbh/xu06ZN6dvkQg0WJEnCpk2bsHz5ck37+9ZbbwEAGhsbNd2fEELylW2662g4jjPFtAjquZCbybCPuSqli3GqXDAOrRYxiajTINTyODU4OHToEDo7O3HBBRegpqZmyH3yTZKf2JrAxjcCRT348VYneGuqEUh/exNYzoLq6douDABzVS6MhWU5eCtnpf+djA8iEmqHmIyCt9jTr0mmnPorZKGv5cLor4fL34C62dcg39eMtXjQH/ecWXkkDEbqQF2ZiNPRMlhc08DxFj17nBPNlQt5NqlUyUqWaTOyeKYZaGrqjNZ9ynkfJAGdR7eO2vhTa1XGWMaaFnH11Vdj5syZeOyxx/D1r38dixcvBpCaJnHvvffCarXic5/7XPr2nZ2dCIVCqK2tHdIE8t1338W1114LURTx4osv4tJLLx1zn/bu3Yu5c+eml6pUvfHGG7j//vthsVjw8Y9/XOMzJoSQ3GSb7jreBZyZKhcmc7hQShfKhVBKIQmQugAv1fdAoSsXaFrEJJFtGkQ4HEZTUxN4nsfKlSuzdubMdS5eNK7gvscGcarTHKW/iiKjv70J/Z17MGXmZfoebJKEC8NZ7R5Y7XPT/44NnkZssAuSLMBidSMaakf3iR3aLkB1HEBHa3BZ0XARymsvhN7XKzVtxo+OMwuTJIInIcQHwTAsbK4KOL21YFnjE1itPRd4jWlwtnGZZXmwNjcsttTFd2aPDkmI6+59kkkUYug48uqYS6fq6Scxmmg0Co8nezUSz/N46KGHsGbNGlx++eW49dZb4fF48PTTT+PkyZN44IEHhlQQ3HnnndiwYQMeffRRrFu3DgDQ39+Pa6+9FsFgENdffz1efvllvPzyy0O24/f78Y1vfCP975///Of429/+hssuuwxTp06FxWLB/v378dJLL4FhGDz44IOYNWsWCCFkomQ7z8vlYkf9EqnYZd2TvefCRC9FWEoXrqW4bKP6pW0pKkbPhfr6+oJtLxcULgwzfE1jAGhra8OhQ4cwffp0nHfeeaN+IHJJkvcdl/D//SmARLLwJdnZiEIMXS2vITbYBQBQdJb7MYzOD5RJwlmHpwoOTxUAQBKTOPb+H4uzI1kG7/o518PpnYKJeLFYlofNmWrip8giBnqPQkxEwHIWODw1sLsrDRngtFYJxOMx7Nu3D2VlZSgvL4fD4chtezncZniPDkVOItB9GIosgre5wXHauv8m4wPoOPIKhET2pWVVWqsyxhIOh8dcoujKK6/E9u3b8YMf/ABPPPEEBEHAwoULcf/992Pt2rXjPv7AwAACgQAA4MUXX8SLL7444jbTp08fEi7ceOONCAaDaGpqwssvv4xkMomamhrceuut+MY3vpFXnwdCCMlXtumuuVIvGswQLhS7csEMFRzjKaVv/EspXKDKBeNEo1GqXDCr4c18WJaFKIrYv38/AoEALrroIlRUVIz5GOPNxfu/l+J45Z1gYSe3jyE60IWuY69BEmLpn8k6Vz4o5FKUhcLo/uZezwE0YyUB1oIZi25O9Y0okHSfCgCiEEGw+zREIQ7eYofLVw+rwzfOI2Qna+y54HE74XK50NXVhSNHjsBms6GsrCwdNoy2/E++HzmGYcBwNlTUXZjaX0lCdKADiWgfFEWBxe4By45/+IyHe9HR/AokcfylZbVWZYxlrMoF1bJly7Bx48ZxH2v9+vVYv379kJ81NjbmffJ200034aabbsrrPoQQole26a75XuCoFw3FnjNe7Iv7ydJzoRSU4utMlQvGiUQi457nFRqFCzjbzEc9UDMMg1AohKamJrhcLqxcuTLrWu3DqUny8ER7IKrg3t8PoPN0dMKeQz4URUGgcy/62ndj+He6epdV1N9zgWRSBxWrsxzTF3y4yHtztkeHLEs4deAFnLf0k5oeR9F4UmS3WTFjxgzMmDEDkiQhGAwiEAjg1KlTOHDgAFwuVzpo8Pv94HljDnEsx8FdNhXusqkAAEkUEA21IRELgmEYWGzeEc1MI8E2dLZsy/kzZdHYrHIsZmz0QwghhaZ1GsRw6kWDJEmGjS9aFLtyodjTMsZTSt+Kl+K0CKpcMI4Zz/PO6XAhc03jzBT6+PHjOHr0KGbPno3GxsacPwDqoDM8tbp7fQKhUGFWgxiPJMbRdWw7oqH2rL/XO89cd7hgwsFK/+FPX+WCt3I2psxcZZrXRhTi6Dy6BfHwac2PoXW1CIvl7OeK4zhUVFSkK4oEQUAgEEAgEEBzczPi8Tg8Hg/KysoALNK8r9lwvAWeihlQs2JRiCESbEsv8xob7ELPiTeRz9QVi8XYw7GiKDlVLhBCSCnLrFYYbYnJXKn3LfaUgGJf3FPlQuGV0sU4VS4Yx4zneedsuJAtxU4mk9izZw+i0SiWL18+pCN6LjLL5TLfWBLjhcvvgyyJEIUYJCEGUYwDBjaMy0UsfBpdLdsgJkdvJKm3cgElerDQRcd44PBMgbus0TTBQiIWREfzq6kVM/Q0qtTYc8HCj37AtlgsqK6uRnV1NQAgHo8jEAjgdG8/jIiIxsJbHPBVzU7/u2nzi8i3J4bVYvxgFIlExuy5QAghpWr4dFe9wYL6GPmuDDYRil25oCdcKORFcikEIKXwHIYr9rSiiaJ+aV3o1SLMdp53ToYLmWsaq6Vxp0+fxt69e1FRUYElS5ZoKndT30ySJA1ZZo1hUteGLMfDynkAe6phnCwmIAoxiEIcsjT+nGw9Al0H0Nv2zrgXqbLO5fhyrVzw18wHA/bMPPb+jN+U3kFUyzCqKAqSsSA43g6zvCaRUDu6WrZBllLNSBkdF+zaKxdy/1za7XbU1tbCW1YLvK1pc5ppCelsVuMPx2aci0cIIRNt+HRXI0/2c10ZbCJN9p4LpfQtfKGU0mtW7IaoE0UNHQtVuaAoiinP886pcCHbmsaKouDIkSM4deoU5s2bh/r6es1veDWoGH7AZxiMuD5kGAacxQ7OYocNqW9yRTGeqmoQYpq/2R1OEpPoObED4cCpnG6vd7u5hAv1c9bA6a0586+lEIUYYgNdiA50IBLq0LX9iaH3AJjf/RVFRjzcC1EwR48OAAh2H8LpU29j6BtZT+WCtpMiLd/ux4uwMIsawOTD6HBBEAQkk0nTDTqEEDJRsk13NfoihioXzD8topQuXM38OmtVqpULExFmjicSiVDPhWLJNg0iFouhqakJsizj0ksvhdvt1r2dbAd8lgHGG4YYloPF6oLFmnqDSFISkhA/M40iDi3fXscjfehq2TbuEniZtH6jrBorXOB4Oxov/BhYzjLk57zFkZq/XjEDANDfuReyKMBi98DlnwreYte1T5ONJMTPrJqRJZUqMEWRcfrULoR6Do38pY6xW2uIZbVqCBeShR3AZEnb1CK7zTL+jfIQDocBwHSDDiGETASjmjaOxwyVC2bouVDs1yAXpXRhXkqBSak2dMw89hRKNBo15PrVSOdEuKA288lMsTs7O7F//37U1dVhzpw5hpWwZFuOUsvnh+Os4DgrrHZvKolP9CLQ25YKIWyecT+UoZ7DOH3q7bwbNGr9Rlk1Wrjg8k9F3eyrkcvFssXmAc4szhENtSOZGAQDwOaqgNNbB1b30pB5KvDxT12RQVEUSGIiXc0iS4VtCiqJSXS1bEN0YLRqksJPi7BqaHqYKHDlgixr26Ddbmy4EImkequYbdAhhBCjZZvuOlGKXTVghn2YLOFCKSjF1SJKtaHjRFVLjUYQBCQSCdNVqJZ0uJDZzEd9I0uShEOHDqG7uxsLFy7ElClTDN1m1soFnZ8fhmHA2atQ2VAFAEjGBxAJtkESYuCtLnAZ3+zLkoCek29isO+Ypm3prVxAlnChavql8FfPgZZv4RmWg83hT+2bLGGg9yiERAQcb4PTWwu7q1zf/haCxoMMwzDgLXbwFjtsKMuYOhM/M3VGZ/PNMQjxQXQ0v4pkPDTm/mmlpXJhyozLcLRLws6m01h2QQU4LrcPVrLQ4YLGygXHBIQLDoejoF2LCSGkkLJNd53oE3szTIso9sU9TYsoHDO/zlqVcuVCIc+51ApVs32JVLLhgizLEEVxSIlKOBzG7t27YbVasXLlSjgcDsO3m23QyfEaKGdWuxfWmvkAUs8zNth5Zo5+DKdPvjnmBeF4DF2KkmEx/YIbYbV7YVR5P8fbwPGpsgYhMYDoQAdkKQne5oHb3wDeYvzf1CyGT52RJRGimFp9RBLiuv92qthgNzqOboEsjtdkVE/lQu77ynJWzFj0cbAcDwHAIy8BD73QCbcljPOn8rjqkgrMm+kf9f4JsbADmNbKBafDauh+qPPwSnEAJ4SQQk2DGI6mRRR/+7maDPuYq1Iay0u9cqFQ1ApVs01/LblwIbOZT2Y30tbWVhw+fBiNjY2YNWvWhP3xsw06RocLmViWhctXD5evHv2de3UFC4Bx0yKsDj+mL/iIruUKc2GxnU3roqEOJM/0l7A7z0yhMCRB1Ll01QTNq0ivPmI7s/qIlEQ42AohPgiL3QOWzf/jPdB7FN0ndua2TGoBKhcsdh8aF350xM9Z3o6oYsfuU8DuUxJk4STKXTFcMMOGa1ZMQX312WV54kJhB2RFQzNHAHDYjQ8XzLY8ESGEGCHbdNdCKfaUBDPsg9krF0pJKb7OVLlgjGg0asoK1ZIKF4an2AzDQBAE7N+/H8FgEEuXLkV5+cSW0Wc74HOs2pxvYjGMAW8uvQ0dWRb+KfNRNX15bheoBhoyhUKRMNB3FGIiAobj4auaA95iK+j+FBLDMOB4G3yV5wFI9UuIhNqQjIXAsOyZPh2jp1yKoqCv/X0EOvfmvs0J7rng8k9F3flXj7t8KgCwFjeCSTe2HwZePxQFxC5M8SVx0RwnPGUNAApX0SJrnK7ichobLoTDYbjd7pIcwAkh56bM6a5A4aoVMmXrrVVoFC6MrZTGvVLtuWC2C2IjFLpyIRwOm7JCtWTChWzNfAKBAJqamuDxeLBq1SpYrcaevGdTiGkRo29b/wdVb2m9kAijatolBQ8WsuF4GxRFRlfLNjjc1eAtNePfKQuzfWhzwfFWeCtmpv8tJMKIBNsgCFFwvC09tQJI9enoPr495+VK0/RULozz/iiruQCVUy/OKVgYjmEYwOJDTxR48X1AkXuRTBwHANgc5XD56sByE3fo07IMJQC4ncaGX2ZcnogQQrTKXGISSB3rizE+F/vCHqCeC7maDPuYi8l4HjoWqlwwhlnP8yZ9uJCtmQ8AtLS04NixY5g9ezamT59esDdxtmkRfIHeZ0wRwwVFkRGP9EFMRnTvg1HikV50Ht0CMRkt7gBjggOoxeaGf8rc9L/j4V5EB7sgClGcPvk2EtG+vB9zrEqI8Yw1LWLKjMvgrZwFo/p0ZFa0ADIG+o9BTITBsDwc7mo4PFMMPT5oDRcikSD6+/vh8/kMGZwikYjpmvwQQki+Mqe7FmMaxHBmaOionutmTv8tpMkSLpSCUnydqeeCMczaW2tShwuKomBwcBCtra2YOXMmWJZFIpHAnj17EI/HsXz5cni93oLuU7ZyuVIPF2RJQCzco/miaiIM9B5Fz4mdGc+n9A7OetjdlbC7KxEJtaNNQ7AAQGflQvYTs6nzPwS7q0Lz4+aC46zgnKnpUZIYR7DnEMRkDLzFBqenDjZXma7H17qKh5UDDh48CEEQ4PV6UV5ejrKyMng8Hk2DFfVcIIRMdoqiIBqNoqWlBeedd17RgwXAPA0dgdTFTDHKyydDuFDs94mRSum5AIW/CC8UqlxImbThgizLSCaTiMfjOH78OM477zz09PRg7969qKqqwkUXXQSe1/704kkFv3gyiK7ONiyZ7cDffaAe1RXjz9vOVi5nKVS4wOj/c+YbLojJKGKR05rK1yeCIss43boLoZ5DI35ORtLzujDQPjDIwysXGA4zF98Cjrdnv8ME4i2O9CojyUQIkYF2SFICFqsX/urZeT+e1pBtwbw5mDe7BrFYDP39/QgEAjh16hQURUFZWVn6v1xTaqpcIIRMZmq1giAI6fM8M1xkmalyoZjhgp6ApVDhhNkDkFwUqzplIpXicwIK/3lUe2uZzaQLF9RpEOpqEBaLBZIk4eDBg2hra8OCBQtQV1enaxtH2kT84okQYvEkgEps3Q9s2dcPTh7A9GoZV1xUjsuXTgGXpZlCtkHHwhXm4GZE5UKuIYGiKEjGgrpXpzCSKMTQeXQb4uHuEb9TUMS5iQVo5qmdvpMDrTJDDc7ixIxFt5hmoLHY3JCjSbQffklbuKCxcsHrsYNhGDidTjidTjQ0NEBRFITDYfT396Ovrw8tLS3geX5I2DDakrrRaNSUgw4hhIxl+HRXi8UCoPDfCo6G4zgIQnErNTPDhWKYDJULpaIUX+dSrlwoxrQIs5lUf9nMFBtIHVyTySQAoL+/HytXrtQdLDy1NYF7f9d3Jlg4i2FYyJwfx/vKsf5lYN2PT+IrP9mH/3nyCE51DqZvl7XnQoEinEI2dFQUGTizQoEZxMO9aN3/16zBQtGZ45o5K10NPPX0XDgzLcLursbMxZ8wTbAApJY0bTv4IiQxqun+WisXfJ6RIQHDMPB4PJg+fToWL16Myy+/HAsWLIDD4UBnZyfefPNNvPHGGzh06BC6u7vTx0PgbBfhsezatQs33HAD/H4/XC4XVqxYgSeffDKn/VUUBRs3bsSXv/xlXHjhhfD5fHA6nVi0aBHuvfdexOPxUe+7adMmXHHFFfB4PPB6vbjyyivx6quv5rRdQkjpUlf9Ur9AYlk2HSioK0QUm1kaOgLFu/BkWdb0F71mOq/Qq5SeC1C6DR0LXbkQjUZNGS5MisqFzGY+aikNwzBob2/HgQMHAABLly6F3a69pDoaV3DfY2Gc6gzndHuWtyMi2fFmM7DzyCAYqR315SLOq4lj6ZyhFwnWEuy5wKpN8hx+KIoMSYhDFGIQhZjmOedaDZw+ip6TO8fe96KuXmHeA6iekwN9lQsSvJWzMWXmKtNMqQGAgb5j6D6+HVAUcIy244nm1SJc4wd1LMumKxaA1Ml2KBRCf38/Tp48if379+Pw4cNoamrCiRMnsGLFilEfa8uWLVizZg3sdjtuvfVWeDwePP3001i7di1aW1vxrW99a8x9SSQSuOGGG2Cz2bB69WqsWbMG8XgcmzZtwne/+138+c9/xtatW0f0ffj973+Pz372s6iqqsK6desAAE888QSuvfZaPPnkk7jlllvGfR0IIaVHrUrN1rTRDMs/qsywL+p5MFUujG0y7ON4SuE5DFeqDR2L0XPBjBWqpg8Xhq9pzDAMJEnCgQMHcPr0aSxatAjvvfeerg/fvhMS/r8/BZBIaLsoYBgG4H1oHwDaB4AtB5Nw/mUf5k634PqV1bDwlZr3Lb/9KNy0iKHbZcFbneCtqYsIWRIgCnFIQgyiGJuwi0dFls70Vzicw40Lc3C22H2YMmMlYgNdiIQ6EI/0FGS7mukIXfSsFlFRvwT+KfNMFSz0d+5DX9u76X9rDeu0TovQEtbwPI+KigpUVKSaYCaTSSiKgjfffBPvv/8+3nzzTezcuRNXX301rr76alx22WXgeR6iKOKOO+4Ay7J47bXXsHjxYgDA3XffjWXLluGuu+7CLbfcgunTp4+6bY7j8OMf/xhf+cpX0mEHAAiCgJtvvhl/+ctf8OCDD+Lb3/52+neBQABf+9rXUFlZiffeew8NDQ0AgO985ztYsmQJvvzlL2PNmjXweDx5vxaEkMkp8zxPvegYfjzkeb7oF/QqM1QuFHs/Jku4UCpK7Vv+Uq5csFqtBdueWXsumDo2Ups2Zk6DGBgYwBtvvIF4PI5Vq1ahurpaV4r8fy/H8bPHTmsOFrJhOSviqMDuk1785I9xvPTaQfS2vYeB3hZIYnL8B9CIYQ1o6GjAqgosZ4HV7oHDUw23fxocnhpY7T6wnHEfOFGIoe3wS7kFC9BZ/p8jd9kMNF54ExzuapTXXYip867HrCWfhMvXgL6OPYgN9phuMC7GtIhkfODMspjmeC0URUbPybeGBAuA9rBO0VC5YNQYa7VacfXVV2PDhg34wAc+gLvvvht33HEHjh8/jr//+79PHyc3b96MlpYWfOpTn0oHCwDg8/lw1113IZlMYsOGDWNuy2Kx4Lvf/e6QYEH9+Z133gkA2LZt25DfPfXUUwgGg/ja176WDhYAoKGhAf/4j/+I3t5ePPvss3peAkLIJKJWpapfII22GoQZqgVUZmjoqO4HhQulrxRf51KuXCjk86JpEXkY3sxH/UOdOHECzc3NmDlzJmbOnJkegDiOy3su3kBUwX1/GERHT8Tw/R+Ot3nSL3Q4eApCfBAMy8HpqYHdXWVYemdEzwWjv0lmGAa8xQ7eYocNZVBkKVXVIMYQj/Rp6tkQD59G59GtEIXc58QbEZqMpWra8qzfxLOcBU5fLQBAFKIIdh+EJMTAWV1w+xtgsRU3cdQ3LSL/A6gaZnAWByQhjmIHDLIsofvY6wgHTo74ndbPkyznHy6wE5DgRyIRNDQ04Pbbb8ftt98+5Hdbt24FAFx33XUj7rdmzRoAI4OBfKgN2Iav2DPedu+55x5s27YNn/vc5zRvmxBifqNNdx2NmcIFMyxFCRT3An8yhAul9M14KT0XoLQrF2gpShOGC2ozH3UQYVkWgiBg7969GBwcxMUXXzzim7J8B513m0X8+tkgkkXo9suyPGzOM/OlhSiC3QcgCQlYHD74KmfpeuxCrhahFcNysNhcsNhcsLsqER3sRmywG4oswmL3gh2n+iJ0uhmnT76Z/zfust7nxWC0C+Gp8z8Eu6ti1N9nypw+Egv3YKCvBYosw+bww+lvAMdZdO5nnnRNi8h/YGAYFla7F1a7NxUiiokz02fikMWE5n3RQhIT6GjeMmoTUK2VQLKU/7SIiUi6w+HwqNMLmpubAQCzZ49cDaOmpgZutzt9Gy0eeeQRACNDhLG2q/5Mz3YJIeaXbbrreOOJmcIFmhYxOcIFoDS+9S/FZRupcsEYkUjElNNITRUuqNMgMpv59PX1Yc+ePfD7/Vi1alX6G7FMuQ46igI8/EIMr+8OodjfmKp4qwuDfccxeGInfB/4qq7HMqShY4FfF6dnCpyeKQAASRQQCZ5CMj4AhuVgtXvP7pcs4fSpXQidzm0axHATsRQly9kwY9HNYDUGAqkLbV/63+H+ExASg2BYHg53NRyeKRM+oOibFqHv/Ta0qgVDGoNKQlxTBUCuhGQEHYdfQTIeHH3/tIYLGvab44z/O49VLhcKpZaQ9fl8WX/v9XrTt8nXxo0b8Zvf/Abz5s3DF77whZy36/V6h9yGEFJ61GoFSZLAMEzOJ+JmCxfMsC/FDhfMELCcC0ohIBmOKheMQZULY1CnQWQuPaQoCo4ePYoTJ05gzpw5mDp16qhvxFwGnUBYxr3/N4iefm3Ly00ESUyg+/gORIKtsNizn+Tno1gNHY3C8RZ4M6o3ErEQoqE2CMkoelvfQTyspzmisc/L7q7G1Hk3GPq4LGeBzVkOAJDEOILdhyAKMfAWO1z+hiFhi1EKPS1ivMcb0hhUFlNVDWeagxrVNyMRDaDjyCvjTqthOa2VC1rCBWNfS0VRitJFeNeuXVi7di18Ph+eeuop2GzmWKqWEFJc2aa75nNxoWX660Qx07SIyVy5MNHfyJfSxWspPReAKheMQqtFjCLbNIh4PI49e/YgmUxixYoV45Z8jNdF+M2DAv73+aBpBiYAiEd60Xl0G8RkaulLRdGfgqdKC1mdF2HmSUhtDh9sDh/i4V60HXxB12MpeqdFZMyK8NfMR9W0ZRMexPBWB3hralnTeKQPg/0noMgirA4/XL6p4HgDplAUabWIXLAsD9bmgcXmgaIoiEd6ER3ohCJLsNg8mi7+owNd6Dy6OacAgGW1vb5apkXwvPFJ91iJtlo5MFqVwMDAwIjpZ+N55513cN1114FlWWzatAkLFiwYc7vqCheZ28y8DSGkNGQ7z8v3YokqF7LvR7G+1S7mtvMxGfZxPKXwHIbL7KdXSgpZuaB+iUSVC8NkW9O4u7sb+/btw5QpU7B06dIRDcGyGW3QURTgf56L4q395iqzDXYfQm/rrqEhgEHpM8NyUCTtj2XKg5gBia1R0z1qz7sS7rJpBa/wYBhmSOVCOHgy1RiUYeEqmwa7M78LQZWeIIop4MDAMAwc7io43FUAAEkSEA21IRENgmFYWOyeccOOwf7j6D62PefnrLVyQdEwLcIyAYPRWHPxMvsbLF26dMjvurq6EA6HsWzZspy39c477+Daa6+FLMt46aWXcMkll4y63XfeeQfNzc0jwoWx+jEQQianbNNdtTBTuGCWyoViT4sw5fliCSrVngul9pwA6rmgKlpspCbZammMLMs4cOAA9u7di/nz5+OCCy7IKVgAsg86p4Myvvlg0FTBgiQl0dmyDadPvTXiAseokm8jlqM0G0MOQHoHQYZD44U3p4IFE2BZHlaHHwN9Leg9tUvz4+ibFlG4eWXDcZwFnvIZqGxYgor6RXB4pkASE0hE+yEkwiNuH+g6gK6W1/L6nGldOlXLtAiLxdjXMplMQhTFUQedK664AgDw0ksvjfjdpk2bhtxmPGqwIEkSXnzxRSxfvnzU2xq5XUKIuSmKYkiwAJgrXKCGjpMjXCili9dSei4AVS4YxayVC0X7y6qNfBiGQSQSwZtvvolQKISVK1eitrY2r8fKNug88CcFAzF2wku3c5WI9qN1/98Q7j+R9feGhQu6L/hMOFgY8jfUUc0hSzjvok8VfdnITLIkoKtlKwKde/VVdph4WkQ+LFYX/NVzUNlwEcprL4DF6oGQiCAR7cfp1l3obc0/gGE0NurUMi3CajV2MAqHUwHLaIPO1VdfjZkzZ+Kxxx7D7t270z8PhUK49957YbVahywH2dnZiUOHDo2YRvHuu+/i2muvhSiK2LhxIy699NIx9+sTn/gEfD4f/uu//gttbW3pn7e1teFXv/oVKisrcdNNN+X7dAkhJqSe5+kNFgDzhQuSJBX94nqy91wohMmwj+MphecwHFUuGCMajVLPhWza29tx8OBBTJs2DbNnz9b0R8nW6EdmHHC4nam1lKUkRCEGMRmDLBV2uTtAXT7xrbH7Khh08GCNWI7SZBgYUbmg7W6SlERssMdUB0ExGUVH86tIRPsB6LvI1zctwrzvNbu7AnZ3quy+/fDLmh6D01q5oGFahM1q7KF4vHCB53k89NBDWLNmDS6//HLceuut8Hg8ePrpp3Hy5Ek88MADaGxsTN/+zjvvxIYNG/Doo49i3bp1AID+/n5ce+21CAaDuP766/Hyyy/j5ZeHvtZ+vx/f+MY30v8uKyvDr371K3z2s5/FRRddhLVr1wIAnnjiCfT19eGJJ54wZYkfIUQbo+bmmylcUL+ZLPYFElUunDvMdA6ql6IoJdnQUVGUglYuJJNJCIJgynOmooYL+/btQ3d3N5YsWYLKykrNj8NxHJLJ5LCfpf6XYRhwvA0cb4PN4YciS6mgQYgZ2oE+G1kScfrUWxjoPTrubY1aKnH8Cz4GNeddgUT4NCKhDiRjAUO2O6GM6Lmg4e8sJqOIRU4XdQWN4eKRPnQ0b4aUudKBjtdH17SISTIwyLK2Rq5alxjVMi3CZjH2UKwuQznW4H3llVdi+/bt+MEPfoAnnngCgiBg4cKFuP/++9MX/WMZGBhAIJA6frz44ot48cUXR9xm+vTpQ8IFAPjMZz6DyspK3HvvvXj00UfBMAyWLl2K733ve7jmmmvye6KEkHOCmcIF9bha7NLuYjZVpHChcIodYhlNDcRK6TkBZ59XoY4J6pdIVLkwTF1dHc477zzdy5VlG3R4VgGyfOPNsBwsNjcsNvfQqgYhBlk0rqohGQuhs2UrkrFgbncw6CA9Vrhgsfsw/YIbwTAMPGXTUTk1dQEdDXUgMtCOaKgDspQc9f7FYkT5fb4NHZOxEBImC17CgVPoOvY6lGEXy/peHz3TIsxbuZBp+OuVK809FzRsz243YOWPDOFwGC6Xa9zBe9myZdi4ceO4j7d+/XqsX79+yM8aGxs1n1xef/31uP766zXdlxBy7hlvVbBCUr+ZlCQp595gE6HYlQtm6DsxllK5eC21EEd9PqVWuaB+HgpVuRCJRMAwDJxOZ0G2l4+ihguVlZWGDBbZwoVc+qNlr2qIQxSiuqoaBvuOo/vEG3ld1Bh18BitoaOvai6qZ6wYEWLwVie8VefBW3UeFEVGPNKL3rb3YXdVwumrM8c0iwI3dJQlAZKUNGBZT+P0d+5FX9t7WX/H6Gidoug4OTBTz4XRKLL24wvHaws9FQ2VCw6bseFCJBIx5YCTC7VkcizDTxpL5SSSEJKdmSoX1ONNsS+uJ2vPhdSy6YU5ZpfKhXkpjXGlWrmQudRuIajneWYMaYrec8EIWcMFDc8sVdXggsXmSlc1yInTCAV7YbV7x72YkmUJvad2IXT6cP4bN6iRIpvl2+S62dfA5a8f9wKbYVg43NWpvVEkDPQehZCMgOdtcPoaYHMUZ/15Y3ou5P76spwFDnfVkMoWSYhBMrCyJVeyLKHnxE4M9rWMehuG1TEtQsf7bjKsTCLrCBdYDeGCIsuaAqliVS6YUSFPPAkhE8uoz7LZwgUz7E8xKxfUC5pSK9k3o1IJSFSlWrmgNnMs1OfBzOd55r86yIFR4UKms1UNDah0NUBIRhAJtEJIRsFbHeAtjiG3F+KD6GzZmm6yVyyZ0yJYzorGCz+m+RtYtaoDAJKxAMKBk1BkETZHGZz+BnAa56TnzYhpERoOzpmVLXD4oSgyRCEO6cw0Gq3l9rmShDg6jm5FPNw9zo7qeH3yPjFhUDl1KWIDXcZUlEwwPX8jjs9/WoSWZo4A4HRom4IxGrN2EB7Pv/3bv+Hpp5/G1KlTYbPZ4HK54Ha74XQ64fF44Ha70z/L/P8ulwtOpxN2ux0VFRUoLy835YBLCNHGDBfzmcywHGWxey4A5g4XzLpfWpTScynVyoVC92Ax6zKUQJHDBaPeWNnm4tl4Yw+4FqsL/ilzAaTeQLHBTsTDp6EAEGIhdJ/YoamRm9HUcMHprUP9nOtg5NKSVrs3/f/D/ScgJAbBshY4vbWwu7U35ByPMe8T/ScBDMPCYnXCYk2Vm8uSkK5qEIU4jHytk7EgOpo3Q0gMjr9feqZF5PG6sJwNMxd/HAzLoaxmQapSp303AMDurDDPNJoMWps5AgDH2fPfnoZlKAHjw4VwODwpp0UcPHgQLS0t6OrqQiKRGLEKUC5uuukm/PKXv8TUqVMnYA8JIcVgxnCh2PtT7J4LgPm/VTf7/uXCzAGOFqW4UgSAgq4UAZydFmHG90bpVi5M4JfqLMvC5auHy1cPADi4438MCRaMSL0YlkPl1EtQVrMARl7sDsdyFtic5QAAIRlGtLMLspSExeaByz8VvCX/C7PRGfHBMf61YDkLrJwFsHuhKAokMQFJiCEe6QPDspp7EkRCHehq2Zr7e6oAq0VYneWYvuDDQ37GshxsDv+ZxzkzjSYRAcdb4fTWwe4q17xfRtHVc8GSf8WP1soFt1NfU9vhIpHIpKxcOH36NFavXo3/+q//gt/vRyAQQCwWQzgcRjQaRTgcRjgcRiQSQTgcxuDgYPpnDMPgT3/6U9GbrBFCzjJyWoSWsHGicBxX9MqFYvdcAErj4t3sSu01lmXZlBfEekmSVPBwwazneSVxBpYtXDB4CvOYGIOmB8hiHKxV+7eNiqKgaurFZ7rcF/ZgZLGdfYNHQu0Q4gOpHg6eKXB4pug6kBiyWsQEH5wZhgFvsYO32GFzliGZGEQk2AYxGcs6jWY0wZ5DOH3ybeTz99MVSOXQH8BdNh21s68ct29F5jQaITGA6EAHJDEBi90Dt39qzq+BkXRVLvD5B2RamjkCgIumRQAA+vr6MHPmTMyYMQNOpxP19fV53f+dd95BNBrVvQIRIcRc1PM8s3yLa5ZpEcWqntAbLhTib2iG94lRSum5lGrlgtpzoVDUngtmVBLTIrKHC4W7uGYNamwniQnwGsMFRZYQi5zWvHyekViWg81ZBgDo62iC01ODivpFmh/PiPdJoZNfq80D65R56X9HBzoRC5+GIkuw2D0j3jOKIuP0qV0I9RzSsDUd0yLGCRfKay9ERcNFmpZKVZd8BYBoqBPJxACgADZXOVzeerAFSHj19Fzg+fzDEK1hhttlZKWPuRPtsTzzzDOwWCzpcEBdOUK9qFAvLDL/A1KDutVqRXV1NWbMmAHLRJauEUIKTv1GsNClx6MxwzSNyTwtolDnZKXwrX8pPIdMpVq5UIyeC2Y9zyupyoXMRNtWwGts1qDKBUlMarxfArFwj64ScKPJsoTTJ9/EQO9RTJ33d/oerMBLUU4Ep7cWTm8tgNTfORJsRTIeAstawPI2dB17DdFQu6bH1lPZMVa4UDPrCnjKG2FEFQzDsukpFFBkDPS1QEiEU1MoPLWwuyt0byMbPZ8JVkNpvdbpUW63sd+0h8Nh0w46Y1mwYMGQf6sBwmgDtnrMVy82/vznP4NhGNOm+YSca4z8EgkofOnxaMxSuVDscKHYr8G5opQuxgt9EV4ohT42RaNR057rlEy4kPmtFgAYXGU8JqOW5JOk/Jc6TMYHkYj2GbJ9owjJCDqPbkUi0gsgNR9fD0OmRRjQ0NEoHG+Ft3JW+t8dzZs1BwsA9K0WMUroMm3BR9LVJxOB463geLVnx+CZnh1x8FY3XP6p6aaZeumZFqFpexrDBa/b+MqFmpoaQx+zWMLhMJ577jmcOnUKLpcL06dPx4IFC3DeeeeNOOGajIEKIWR8meGCGZihoSP1XDg3lNprXKrTIgpdVWXmL5FKZloEAIiiCKs1lSo4bQWcFsEZ8zLKQu7hgqLISET7ISTChmzbKLHBbnQe3QpJjKd/ZqaKCjPSG56wuho6Dj0xYVgOMxZ9XPPypVpZbC4AqQQ2NtiFgfgAFCiwOcrh8tVr/oxN9HKhw2kNM4wOF8ycaOfjwIED+MpXvoK33noLiUTq+MgwDC655BLcfPPN+PjHP47Gxsbi7iQhZMKpFUrFvqBXmaGhY7GXomQYxtQXvmbfv1yZpc+IUUp1WkShey5EIhF4PJ6CbS8fJVO5AAxNtB0FvDZiWYOmRUi5TYuQJQGx8GnIOd6+UILdh3C69e0R34aPN68/JwybU/PBUZl4gNG9ZzoOZpl/G97qxowLP2bMNBQdGIaFVZ1CAQWdx15H1dSLYbXnfxDVXrmg7TXQ2tDR6zG22aWZ5+Ll484778Rrr72Gm266CR/4wAcgCAKOHz+O1157Dd/5znfw8ssv45e//CXmz59f7F0lhGRh5EWEmcKFc31aBFA6F++TQSldjJdy5UIhn1c0GkVtbW3BtpePkggX1Dm5mYPOpKxcyCEskCUB0YEu3VMNjJTZX2G03+uVGsS039+QgGPC6HyvMjrKsM68qA5PDRrmXW+6ECbUcxg9J99C1bRLNN1fa9WM1oHcTEtRTvbKBVEUsXHjRqxZswa//e1vUVFxti/H3r178cwzz+CnP/0pPv/5z+Oll16C1+st4t4SQiaa2cKFYu8LhQtjK5ULcjO/xlqUcuVCoZeidDqNmUJstJKYFgGMHHRcBQwXGIMqF3IJF1jOApe/HpIQhyjEIArRok47SPVX2IJEZPS+D8YEITrfK2Y+OOvNFnS8Nooiw1c1F9UzVpjuNeprfx/9HXsAALzGVVA0Vy5oDRckbdtraWlBeXk5fD6fIYPTZF2KMlM0GoUkSbjqqqtQUVGRPiFhGAYLFy7EwoULUVdXhy996Uv43//9X3zrW98q9i4TQrIw6iLUTOGCGaZFFLPngrp9s1/4mn3/clVKF+OlXLlQ6HDBrOd5JfPXHREuGFtlPKZCVi4AqbJx3uqE3VUBt38qnL462Bxl4Hhj522PJzrQhdb9fx0zWAAAGFK5kPtblWVHXogqBqx4MHH07Ruj4yDt8k9FdaO5ggVFltF9fEc6WAAARuOKLJorFzQeGrWEGQwDJJNJHDx4EK+//jref/99nDx5EoODg5pOjBRFMfWgkytBEOD3+9Henmp2KknSiA7ld9xxB5YuXYrHH38cQOmcSBJCRjJTuGCWyoViHvP0hAuldLE80ajnwuRQjJ4LZj3PK/q0CKOST57n0wd6RVEQPN0OYNbYdzKIcT0XtJVUc5wVnMMKq8MHRZEzqhpiE9bQLth9EKdbd+V0UWrElIRcDkScxZnuGRAPn0Yk1IFoqD21moaJLzr0vv+1NoRMxgfOrAhhntdGlgR0tmwbsXqG9mkKGt//GgcILatFsAyD+fPnQ1EURKNR9Pf3o7+/HydOnADLsigrK0N5eTnKy8tht+cWIJq5i3Cu3G43br31VjzxxBP4t3/7t/TqF5kn9JFIBAsXLsTmzZsBlN5JGCHkLI7jIIqFbdI7Go7jIAjaztmMQtMixlYqY4GZX2MtSrlyodA9F8w6/bXo4YJR1ERbFEXs378ffX39AGZCdzl9DoxailJrM7hMalUDf2YpP1kSIApRiMnYkBUctJJlET0n3sRgX0se9zEg3R9nkHB661E/51qoF8oOzxQ4PFOAhiUQhRgS0X4Eug7A5W+A1V5ic7PzDBcURTmz0sjgBO2QNqIQQ0fzq+NXwuRBe8+FAoYLZwYjhmHgcrngcrkwdepUyLKMgYEB9Pf3o6OjA4cPH4bD4UB5eTnKyspQVlYGns9+7DFzop0rm82Gr371q3juuefwkY98BPfeey+uueaaIWWHfX19eOuttzB37lwApXcSRkgpKMVpEWaoXDDDtIhiTw05V5RKUAKUduVCoaZFmL1CtaTChXA4jCNHjsDhcGDVqpV45nBhtm3UtAitlQtjYTkLrJwPVvvQqobYYHc6gMiVkAij8+jWVCVAHgypXBijTL28bjEq6hdjtG/geYsDvK8eABCP9GGw/zgUWYbNWQaXr8Gwv592+k662DwvhBmGgdXhA8dbz1S4xPWtxGGAZHwAHUdeMTzwUDT2QGA0NsnUUinEcdkHWZZl4ff74ff7MXPmTIiiiEAggP7+frS0tCAWi8Hr9aYrG7xeb7pMdryeC7t27cIPfvADvPHGGxAEAQsXLsQ3v/lNfOITn8hpn1taWvB///d/eO+99/Duu++io6MD06dPx4kTJ0a9z1gnE7fddhvWr18/4ufz58/HQw89hC9+8Yv46Ec/ig9/+MNYvnw56uvrIYoiXnnlFdhsNvzoRz8CgILOdySEFJaZwgUz9FyYzJULhbq4LIXAuRSeQ6ZSrlwo5DlIOBympShHY0SirSgKkskkWlpaMGvWLMyaNSvV+AuFKfhmjapc0NhpPleZVQ12VwVig6cRHeyEIouw2L1jPo/oQBe6WrZCEhP5b9iQpSizD0T1c66D01uLXP/SDMPAavel/z3QfwxCIgyOs8DprYfdVa5/X/Old+Bg8z+YsSwP1uaBxeaBoiiQpSREIQZJiGn7G+sQD/eio/nVMSprtJ+EyIrGcKGA0yI4Lrdt8TyPqqoqVFVVAQBisVg6bGhvb4csy3jmmWdQWVkJSZJGDRe2bNmCNWvWwG6349Zbb4XH48HTTz+NtWvXorW1NafGiK+//jp++MMfguM4zJs3D11dXTk9h+nTp2PdunUjfr548eJR73P99dfj6aefxsMPP4znnnsOTzzxxJDff+ELX4Df78fJkydRUVEBl8tVkt+KEHKuy5z+WmzFvrBX96GYF57F3v65otSm+5Vy5UKhp0VQ5cIEEUURBw4cQDQaRX19Pc4777z07ximMFPtWY3N5obT2mleK4enCg5P6kJFEpMIB05BSAyA5ayw2M6+YQPdB9B76h1ojWqMWC1i+IGIYTnMuPAWcBZ9TSw5zgrOmQoUhMQAogMdkKUkLDYf3GVTwfHaVinIh963qJ7VIoDUa8vxNnC8DXD4oSjymaAhPqF9OwAgEmxDZ8u2sbehYxDSPi1CW/qsZSlKC69tWw6HAw6HA3V1dVAUBeFwGDt27MDGjRsBAJdccgmuu+46XHPNNbjmmmtQXV0NURRxxx13gGVZvPbaa+mL+rvvvhvLli3DXXfdhVtuuQXTp08fc9uXX345du7ciUWLFsHhcOTcC6KxsRH33HNP3s/1kksuwaJFi7Bu3Trs3r0be/bswfHjx3H8+HE8/PDDePjhhzF37lwsX74cl1xyCa655hqcf/75eW+HEGI8oy4kzFS5YIZpEcUOOKjnQuGU0nMpdG+CQilk5YI6LYJ6LkyAwcFB7N69GzabDdXV1bDZhq4Vz7KGLFQwLqMqF7R862kUjrfCV3U2mImFexEd6ESgax8GTh/R9diKEYNfRum/1eHH9Atu1P+YWWSGKuHgKQjxQTAsB6enBnZ31QQd4PWuFmHswYxhWFisLlisqYNWqm9HLB04GFUPFDrdjJ4TO8d9PD2vuNbAjtX4mmrZHq8xXMjEMAw8Hg/uuusufPKTn8SiRYvw0EMPYcuWLXjggQewe/du/PSnP8XmzZvR0tKC22+/fUi1gM/nw1133YV169Zhw4YNuPvuu8fc3syZMzFz5kzd+50rRVFgtVqxYsUKrFixAgDQ0dGBgwcPYt++fdi1axd2796NjRs3YsOGDfjkJz+JP/zhDxBFcdS+FISQycUMTRRVNC1CX7igKEpBggkzhx+5KoXnkKlUp0UUsnIhHo9DkiSaFjEarRdrbW1tOHjwIBobGzFr1iwcOnRoRIrMMUAhagG0LpM3nObO9hPA4a6Ew12JnhNv6H4sY3oupN4n3srzMGXmZQUpSWFZ/sxqCoAoRBHsPghJiIG3ueEumwbeYtB6pzqfykQn2qm+HRZY7d7UfP6BdsQGT4NhWVhsXk3b72tvQn/H7txurKtyQeu0CG2HRi0BodWAcCFTNBqFx+PBddddh+uvvx73339/+gR069atAIDrrrtuxP3WrFkDANi2bZuh+5MpGAzit7/9LXp7e1FeXo5Vq1Zh4cKF494vcwlKRVHAcRzq6upQV1eHq6++On27AwcO4JVXXklXXpTiCQwh5yqO4xCP629MbYRiX9gDxW+oaPbKhVJSapULpfR8VIWsXIhEIgBA0yKMIkkSDhw4gJ6eHixZsgSVlZUAsi9RxHIoSLpgXM8F84QLKiO+FTciXADDoLpxJXxV5xdtWcnMVTiioQ4kE4NgALj803T2atCbLhTuAophGLh8DXD5GgAAycQgIsE2iMkYeKtj3MBFUWT0nHwrr2qYsZp5jkdrYKf1fa9pWoTV2MEoHA7D6XQOGbzVi+zm5mYAwOzZs0fcr6amBm63O32bidDU1IQvfelLQ352/fXXY8OGDaiurh73/sPDAvXbL1mWwfM85s+fj/nz5496e0JI4ZXitAgz7Euxex6YPVwolQtYM7/GWlDlgn6RSAQMw8DhMOhLToNNqr9uOBzGzp07EY1GsWrVqnSwAGRv9MMX6NkZFy6YY9DMpHVJvkx6ey4oioK62dfAVzUbhWnROT6G5WC1exE6fQR9He/reixF77SIAoYLw1ltHpRNmYeqqRehbMo8cLwNyVgIiWhgxBKksiSi8+jW/KfZFKHngtbPtJbVKWxWYyqfVGPNwwuFQgBS0yCy8Xq96dsY7Vvf+hbeeOMN9Pb2YmBgAG+88QY++MEP4sUXX8SHPvQhrF+/HnfddRe6u7sBDD2hGq2ElmEYMAwDnucRDAbR19dX9BN+QsjEMMMFvcoMlQtquFCsi0+zhwtA6VyYl0pQAlDlghHUZSjN+joWvXIh1xemo6MD+/fvx7Rp0zB79uwR6VC2QYfnFOibsZ0bo6ZFmDJcMKJyQccArCgy4uFeWGzmaloiSUl0tbyGaKgdU2Zcpu/BdE+LMM/ye05v7ZnVO842CU0mBsCAQc+JnYhHTuf9mHrCE83TIjR+prVULtitxh6G1XDBbIPOAw88MOTfl156Kf7617/iqquuwrZt27B+/Xr09/fjH/7hHwAMHRvGei7q7x588EEcOHAAP/3pT1FfXz8Bz4AQUkxmCxeKvS/qeXChl8BTFXtaxrmi1FaLKMXKBUVRClq5EA6HTXmepyp6uDAeSZJw8OBBdHd3Y/Hixell2IbLNuhYCnSsNayhowGrKhjNiAtXrdMiZElELNxd1EaX2QiJQXQ0b0YyFjToESdv5cJYMpuEBnsOaQoWAOiqXNA6LULrZ1rLe9VmMz5cGG0enlqxMFp1wsDAAMrKygzdn7GwLIs77rgD27ZtQ0dHB+LxOLZu3YoZM2YAAGw2G6xWKywWC6xWK3ieh8ViAc/z4DgOPM9DlmVUVFRg165dOH78eLrhW6mdkBFyrjNTuGCGho6ZvWiKFS6YuTKgVI7/Zn6NtSjFygX1b1TIygWzrhQBmDxcCIfD2L17N3iex8qVK8ecW5I1XCjQszNqKUpzVi4YcOGqIVwQhTji4R5j+jUYKBbuQWfzFkiikU2l9K4WYc5wIZOe6hV9lQvaPlOc5sqF/MMMh93YaRFqz4Vs1F4Lzc3NWLp06ZDfdXV1IRwOY9myZYbuz3jU6W2JRAJtbW340pe+BJZl00GCGjDY7fb0fw6HA06nE06nEzabDXV1ddi5cyfmzZuXXh2i1E5eCJmsjOy5MLy3VrGYZVoEULyLz2L3fDiXlNJ4VoqVC+r1ZyF7LgzvrWUmRQ8XRnthxpsGMVxRwwWjei5Q5QIAIBkfRCLap3u7RhvoO4ae4zsMDzx0j80mrVzIpOe9rSdc0NzQUWu4oKFywWG3atrWaMaqXLjiiitw33334aWXXsKtt9465HebNm1K36aQ3nrrLQDAlVdeiYULF0KSJEQiEUSj0fR/sVgs/b+xWAyhUAjd3d2Ix+NIJpNIJpNIJBKYOXMmLBZjwxpCiDmYrXJBkqSiVkhlTosoBj2VC4V6zUoh/CiF55CpFCsX1M9goXsumFXRw4XhJEnCoUOH0NXVhUWLFuXUQRzIPuhY+cJ8II3ruWCub+kBoxo65v53EJNRJKL9urdpJEVR0N++G/2deyZqC7ruzU6GcEFPVU4Rei5wnLYLfi3hgtPgcCEajY466Fx99dWYOXMmHnvsMXz961/H4sWLAaSmSdx7772wWq343Oc+l759Z2cnQqEQamtrR20CmYu9e/di7ty5Iy7833jjDdx///2wWCz4/ve/jxkzZqRXf5AkCbIsQxCE9H+iKIJhGEiSlA4VBEGAJEkIh8OoqKhAebmelVsIIWaVrXF3sWRWDRTrQkltaDsZwwWSn1K6GC/VygWWZQv2dwqHwxQu5CoSiWD37t1gWXbcaRDDZQsXbAX6AotlOaQaR+o7yJqycsGAho75TIvgrU64y6ZBEuOQhBhEIVbUnguyJKL7+HaEAyeLtg/jMuJvNMH0VHvoq1zQ9pnSGhhqCTOcDuOnRYw26PA8j4ceeghr1qzB5ZdfjltvvRUejwdPP/00Tp48iQceeACNjY3p2995553YsGEDHn30Uaxbty79897eXvzLv/xL+t+CIKC3t3fIbR544IH0lIef//zn+Nvf/obLLrsMU6dOhcViwf79+/HSSy+BYRg8+OCDmDVrVvq+HMdRBQIhJaJUl6IECrv8XDYULozO7PuXq1K7GC/VyoVC/o2i0Sj1XMhFV1cX9u3bh/r6esyZMyfvP1LWcKGAz47leP0XwSbrLwAYVbmQ3/NiGAa8xQHe4oANqdJ2MRlLhQ1izIB5BLkRk1F0HN2MRGSCp2jk+XzYM9+qy1Iy9W9MgnBBx8kPqyM80Vy5wNvyvo/Wz7/Lmf+2xhKJROD3+0f9/ZVXXont27fjBz/4AZ544gkIgoCFCxfi/vvvx9q1a3PaRjgcxoYNG0ZsN/Nn99xzTzpcuPHGGxEMBtHU1ISXX34ZyWQSNTU1uPXWW/GNb3wja58HSZLAcRzeffddvPLKK+js7EQ8HsdPfvIT+P1+9Pf3o6OjAzNmzDD1IEsIMQbHcenKpmJfbBV7SkLmfkzGpShL7eJyIpVCQJLJDJ9foxU6ZKSGjuOQZRkHDhxAR0cHFi5ciClTpmh6nGyNfuzWwn0gGZYHdIYLZjyAGFO5oLPsn+VhtXsAuye13IuYgCREJ7SqIR7pQ+fRzRCT0fFvrHOMVPKoeLE5KzB1/t8BUBCP9CEaakdkoB0uXwPYInSLzpWuqpwi9FzQMi1C67bcLrum+40mFouhoaFhzNssW7YMGzduHPex1q9fj/Xr14/4eWNjY17Hq5tuugk33XRTzrcHUsf0e+65B4888gja2trSP//Rj34EIJXcf/GLX8Q3v/lN3HLLLXk9NiFk8jFLtQBw9uK42JUUxWwsWSqVAZNBKYUxpVaJAZz9MqRQzD4touh/3Xg8jnA4jJUrV2oOFoChibbK4KnMYzJixQizrYwAFKdyYSypqgY7bM5yuHz1cPkbYHNVgLc4dS1ZmCkcOIW2Qy/mFiyk9sqQ7Y7HXTYD0y748Jl5liwc7ipU1C8GoGCg7yhOt76H/s79SESDBdmffOjpuaAn4NK+WoSGcEFr5YLL2AOVuv7xZPeHP/wBP/rRjzB37lw888wzuOOOOwAg/dwaGhrQ1taGP/7xj6bpIE8IGcnIaRFA8S/ogdRzMsNylMUOF/Rse6IvmEsl/CiF55CpVKdFFDJcoIaO43C5XIYsfaYuP5aZaBeycsGQFSNMeAAxZLUITNzAx7I8rDYPYDtb1TDQ2wJFkWC1e/N+vP7Ofehre3cC9nQMOfzdK+qXoLxu0ai35XhbupQ/GQ8iHDwFRRZhdfjh8k/VvLSiUfT1XND+HtRaTcBaCjctwuM0tnLB7OVyufp//+//Ye7cufjd736HmpoaHD16FACG9OJZvXo1du7cWZQ13gkhhcUwDFiWNU2YaIblKIvZc4GWoiyMYjYNnQilWrlQyOeUS4VqMRU9XJiIRFttBOaYbJULOhtCTgTGiA9LgQYftaqhvHYBACARCyESbIMkJmCxucHxo78hFFlCz8k3MdB7tCD7OmzrY/629rwr4S6bNu7tMmUGK+H+ExASg2A5CxyeWjjclVp3VLPiVS5onRaRf7igdVtej/HhgpkT7Vwkk0k0NTXhn/7pn1BTUwNBENDX1wee59NjhizL8Pl86O/vL6kTL0JKkVHfIputqWOx92Wy9lwg+SmlMa5UKxcKGS6YvUK16OECYMwBSk20Mw/0LmP7pI29fapcGFWxBh+bwwebI7V8niyJiITakIgGwLAcLDbP2TmTQhydLVsRG+wuyn6O9fJMv+CjsDq0LwEIpIIvmzO1PJ+YDKO/sxuymABv98DtnwreYuzFbTZ6ei7oa+iobbssn/9rorVywec29vUfaynKySIWi4FhGNjtqddGURTEYjFYrWcDQkmSEI1G05/jUvt2hxAykhku6FVmqFwo9rQIM4cLpTIemPk11qJUKxdoWsRZpggXjDJ80HHaCjgtwpCyc/MdQIypXCh+LwmW4+Epb4SnvBEAkIyFEAm1IZkYRM/xNyAkBou4dyP/7gxrwczFt6RXhjCSxeYCbKnEMxpqRzI+kOrh4KmGw1MzIQOyrmkRGsMFrVMiAI2rRcgap0UYWLmgKAoikQg8Ho9hj1kMiqJg2rRpeO2119L/jkQi6bABSPXr2bFjBxYsWFCs3SSEFJjZwoVi7wuFC2Mz+/7lqlSCEqB0KxcoXDirpKKjEeGCfZL1XDAhY3oumO/gbnX4UFazAA5XZZGDhZEsdg/OW/qpCQkWhmNYDjZnGawOHyQxgWD3IfS2vYdgzyEIiYhh29EzLYJltH229GxTSzWHLGkLM1wO45eiNHO5XC48Hg9uv/12vPbaa/jlL3+JeDwOlmXTz6u7uxs/+9nPcOTIEXzmM58p8t4SQsZj5BTYYl/Qq8zQ0LGYPRcmQ7hQCkrtNS7VyoVCPqdoNGrq87ySuiIePugYvMLbmEo3XJg8PRe0MUN6evb1cXrrUD/nOhSrioW3OsBbUw3zYuFuDPQOQFEU2F2VcJdN1fy4eqZFMJy2z5aeygVN0yI0Vi4YneCbPdHOBcdxuO222/Dqq6/im9/8Jp577jmcPHkS4XAY//Ef/4FXX30VW7duxcc//nGsW7cOQGl9s0MIyc5M4YJZpkVQz4XSVmpT/qhyQZ/JUKFqiujIyEQ7s4uw2zHGjQ3GGNSNXzZJF2SVnmZ6Khp8xnHm9fFNmVfUYGE4hmFhdfhhsXvRcXSLrsdSdJyAaQ3uFI2VBKlt5n9o1NJzwejxVR10Jnu4AAB1dXV4+OGH8Z3vfAdHjx7FiRMnEAgE8P3vfx/Hjh3DN7/5TfziF79IN/AlhJQ+nudNFS4Ue19oWsTozL5/+Sili3GqXNDP7Od5JfV1+/BE224BUhdqE/+hNKpyQZTisPLmecMYUrkwgUtR6maCA7YCoLpxJXxV58MswYJKEpPoPLpZd7NLXZULGj9bso5taqElzGANfv9Fo1EoimLqRDsf06dPx7//+79j7dq1OHXqFEKhEGw2G2bPno0lS5YUe/cIITmiaRETo5jhAsuyEARtFXskd6USkACp51KqlQuZDacnGoULBTR80Cnke9eYho6ALCYAm3neMJN5tYjJwj9l/pk5/uZ6nYRkBB1HXkEyFtT9WLp6LmitXNA8LULbgUPLNAyjk+5IJNUnw8xz8XIhy3L6JMRisWDx4sVYvHjxiNuFQiEMDg6aer1nQohxzBQumGFaBPVcGF0pXcCWynNR3y9UuaCdWqFq5vM8U/x1JzLRLtTn0ajKBUlMGPI4RjFmtQgTDz5F7LmgKArikb6CLAWZr0Q0gLaDL2QEC/peJ12rRWjsuaBnWoQWWqZFcJzx/RY4jhuyqsJkxLIsOI5LT3mQJAmCIKRPTEKhEF555RV84QtfwC9+8Yv0bQghpc1M4YIZ9oV6LozN7PuXi1LquVCq4UIhey5MhgrVkq5cAFLhQiGOLcb1XDBZuGDAtAgzrhaRVqTjtaLIiIVPQxJixdmBMUQHutB5dAtkKWnYYxajckHWuE2t73ktDR1ZloEgCIb1DVDT7Mk6cMfjcTzxxBN47LHHkEwm0djYiHXr1uGKK64Ax3GIRCL485//jOeffx5PPfUUAODHP/5xkfeaEDKeUpwWQT0XzB8uEHNR36ulEpaoClm5oFao0rSIAsnW6IdlCjPj37DKBQMv6IxgRENHM1cuFCNdkGUJscFuQy/ejTLYfwLdx17XVWmQjZ7HY1ltF96ap0VoHPS0LEXJQMH27dvh8XhQXl6OiooKeDwezYNUOBw2dancWCRJwve+9710JQIAbNu2DZs2bcJjjz2Guro6/Ou//iuef/55AMCHP/xh/N3f/R0++tGPAkBB15gmhBQHx3FIJMzxJYwZpkVQuFD6qHLB/ApZuaBWqNpsxi5jbiRThAsTmWhzLCAWIFhmNZZuD2e2C05jGjrS4JOJYVjYXRUQhRhEIWaaapVg90GcPvV29l/q/IxqrSIAtPcz0boUpdb3vKKhcsHpsGPlypXo7+9HX18f2tvboSgKysrKUF5ejvLycjgcuS97Y/a1j7NRT5xeeOEFPPTQQ5g3bx6+//3vY9asWdiyZQv+/d//Hf/6r/8KSZLw/vvv43Of+xxuvPFGfOhDH6KVIgg5x5ipcoHjuKI3NKSeC6MrtQvyUkCVC/pNhgpVU4QLRuE4Dsnk0ItzBjKAiU+TGI3frg4niWYLF4yoXND/EBOn8Ac4hmHA8TZwvA02hx+KLKWDBkmIGV41MB5FUdDX9i4CXftHvY3eV0nPahFawwWtUzE0T4vQ0HPBYkmlz7W1taitrYWiKBgcHER/fz+6u7tx5MgROByOdNDg9/vB86MfttVBZzIN3Gq4sH37diSTSdx777248cYbAQCXXHIJgsEgfvKTn6ChoQG//vWv8cUvfjF9X0mSqGKBkEmApkVM3D5Qz4XRmX3/cjWZxvSxqON9qTwfVSErF8LhsKmnRAAlGC6oB3pJknDw4EEo8gIUIlwwalqEbLZwwYBkzMw9F8xwfGNYDhabGxabO9UhX0qmg4aJbvCpyBK6j+/AYP/xcXZSZ0NHHd+saO1nUujKBS3TIqyWoccNhmHg9Xrh9XrR2NgIURQRCATQ39+P5uZmxONx+Hy+9BQKt9s9ZJCeDIPOcOrJX0tLC2bOnImFCxcCABKJBGw2G1asWAGO43DbbbelgwVRFMHzPAULhJxjzBQumGUpymJVT0yGcKEUlNJrXIrLUAKFrVyYDBWqpqipMDrRjkajeOuttzA4OAiHvTBls6U7LcKIk3czHxjNdZBTqxpsDj+c3lq4/VNhd1WBt7oN+lucJUlJtDe/On6wkNozXdvSU7nAaa5c0NhzQeMAoaWho9U69nGD53lUVVVhzpw5uPTSS7F8+XJUV1djYGAA7733HrZv3479+/fj1KlTaGtry2l5ol27duGGG26A3++Hy+XCihUr8OSTT+a8zy0tLbjnnnvwkY98BPX19WAYBo2NjePeb9OmTbjiiivg8Xjg9Xpx5ZVX4tVXX03/vq+vD+Xl5el5hOq4oFZqXHjhhQCAZDKZ/raulE66CCHjM1O4YIaeC8WcFmGG5z+WUrmILbWeC2Yu59eq0D0XnE6nqd8TJVe5EIvFsHPnTtTW1mLu3Ll4+XhhXnytTeeG01JaPZGMWYpS/0NMHPN+OAG1qsEFi82VrmpIxIKIDnTCavdq/pZdTEbRfuQVJGOB3PZDb7hQhJ4LWrfJagxxtHx27bb8DsFOpxNOpxMNDQ2QZRkDAwPo6+vDtm3b8LWvfQ1lZWUoKyvD5s2bsWrVqhENf7Zs2YI1a9bAbrfj1ltvhcfjwdNPP421a9eitbUV3/rWt8bdh9dffx0//OEPwXEc5s2bh66urnHv8/vf/x6f/exnUVVVhXXr1gEAnnjiCVx77bX44x//iLVr1yIcDqO6uhoVFRUAAKvVCgBwOByQJAnTp08f8nNCyLknW+PuYjFD0DFZGzpKkoRQKASfzzehF5ulEkCb+UIyH1S5oN9kqFAtmXBBURT09PQgHA7jwgsvRF1dHQDAUqBnyBhVuaDh28+JVPKVCwYc4/ReeOe8nTNVDU7PFDg9UyAkI4gEWiEKUXAWB3hLbo3/krEg2o+8AjEZyWfjGvc6RddqEZy2i0nN0yI0rpCiZVqE3aY9lGRZFn6/H36/H7NmzcI111yDr3/962hubsZnP/tZBINBrF69Gr/97W9RX18PURRxxx13gGVZvPbaa1i8eDEA4O6778ayZctw11134ZZbbklfxI/m8ssvx86dO7Fo0SI4HA7Y7fYxbx8IBPC1r30NlZWVeO+999DQ0AAA+M53voMlS5bgq1/9Km644QZIkoT33nsPX/3qV1FWVgar1Qqfz4dDhw6B4zj87W9/Q09PDxRFgdPphMvlAsdxuPDCC03dNZkQUro9F4r9zf1k7LkQj8fx7rvvppfUU6f5VVRUjDuenItKJSABqHLBCLlUqBabKcIFvYNOMplEU1MTwuEwHA5HOlgAgHGqjg1TspULBqwWYebDYqGCgYlgsbrgnzI3/e9IqAPx8GkoUGC1ebNWncQGe9DR/KqG6TfFnBahLVzQ3NBRY7igZbUIh45wYbja2lrMnj0bM2bMwH//939j//792LRpU7oSYPPmzWhpacHtt9+eDhYAwOfz4a677sK6deuwYcMG3H333WNuZ+bMmZg5c2bO+/XUU08hGAzihz/8YTpYAICGhgb84z/+I+655x48++yzCAQC6O7uxqOPPpr1cX70ox+l/z/HcXA4HAiHwzhy5AjOO++8nPeHEDJ5mS1cKPa+TLbKhWAwiPfffx+VlZVYsmQJ4vE4ent70dXVhSNHjsDpdKaDBr1VDaX0DXmpPJdSrFyQZbmgoQmFCwUQDAaxe/du+Hw+XHDBBdi/f2jHe6ulMJe2hvVcMFvlgsYLrSFKKHU1M5evDi5fKlgTklFEAq0QkhHwFgd4qwPhwCl0tbym6UJf72Cga1oEX+jKBW2fZU3TIgzuCROJRFBRUQGGYXDBBRfgggsuSP9u69atAIDrrrtuxP3WrFkDANi2bZuh+5PLdu+55x5s27YNL730EkKhEOLxOCKRCCKRCMLhMKLRKCKRCEKhECKRCAYHBxEOhxGLxdDe3g6v12v4PhNCzMlM4YIZGjpOpqUoOzs7sW/fPsyePRtTp05FPB6Hw+HAtGnT0NjYCEEQ0ssy79u3D4qiDKlqOFenxJVSzwVZlkuuckH9/BWycoGmRUwQRVHQ2tqKw4cP47zzzkNjYyMGBgZGDDp5TmnWzLDVIjSUVk8kIyoXTK1EDtjDWaxO+KfMSf87dPoIOo9u0f6Ak3BahNaGjlo/y1rCDKfD2JOlSCQy6rSG5uZmAMDs2bNH/K6mpgZutzt9GyONtV31Z83NzVl/TwgpDUZOi1C/KSz2BZdZpkWYPVxQFAVHjx7FyZMnsWjRIlRVVUGSJCiKkj5nZxgGLMuiqqoKU6ZMSS/L3Nvbi7a2Nhw8eBAejycdNHi93pz+/qUwpaAUnoOqFKdFqO/hQlYuULgwASRJwv79+9HX14elS5eivLwcQPZE22YtzIdS63J5w2n9tnWilHzPhXOE1e7Xdf/iNnTUWrmgdVpE4SoXXAaHC2MtURQKhQCkpkFk4/V607cx0ljbVasOJmK7hBBzMWLpQvXbQUmS0ivJFIsZqijM3nNBkiTs3bsXoVAIy5cvh8vlgiRJkGUZNpstHTDIsjzktWRZFm63G/8/e+cdHkd1rvHfbFddabVqlizJkuVu3GXZpneDjekl1FBCSG5yISS5l4SaUBNyAwkJNQGHAIHEpmNMsyHG2GBLslUtybJkyVbZXfVV2Tb3D2UXSVadHe2u5Pk9D8+Dpd2Zs0Uz57zn/d4vOjqazMxMHA4HNpsNm81GXV0dgiD4hAaTyYRWG5jOcMEi2EKaXEzFsgi32+0TxwJBZ2cnZrM5IOeSSkiIC+P5otntdvLz89FqtaxatWpA+ItGozlG0Q5QJ0rZnAtiqDkXppjCeCxT6yI3HCJ+7mwE07kg8Tso2bkgscRJirggt3Ohs7Mz5GvxFBQUFKTiFRdcLlfQxQXFuTCyuNDT00NeXh5qtZrc3Fy0Wu2AXV7vPN37mXoFBu883uVy+c6jVqtJTEwkOTl5QKek6upqSkpKiI6O9okNkZGRCIIgi5gVCkyF1+BlKjoXAl3q0dXVpTgXxspYLgKNjY0UFhaSmprKrFmzjvkwh1K0AyYuyORckLogmijkcS6ELseHtID/uRdBzFyQilQXkNRwVinni4yQNxl7pJuO1zkwnEugvb2d2NhYWccz+LzecMn+5+z/GAUFBYWR8C5Kg+0Y8I4l2OMIprgw0rnb2trIy8vDbDYzb968Y0oghtpUVKlUvnm9x+MZ8N9gV0N0dLSvU1JPT4/P1VBTU4NGoyEuLs6X6TAVmCq7/VPRuRDIThEwskM1VAgZcWEkPB4PFRUV1NbWsmDBApKSkoZ83FDiQpg+QIGOcmUuBGERNhJT3rkwxS5yw+GPcwBAwL/vgT/dIiSfU+LfkpQyDNHjBgnvcWSEvC0UR6rF659vsGzZsgG/a2hooLOzk5ycHFnH4z3vnj17qKioOEZcGCmPQUFBYWoh106yRqMJ+qIeQiP/IZi788Odu6GhgcLCQmbOnEl6erpPIOjvVhiNwUKDKIq+4wx2NWi1WpKTk0lJScHj8dDa2orNZqOzs5O2tjafsB0XF0d4ePikW9yGQr6IXExF54Lb7Q7oa+rs7Ax550LIf8K9vb188803WCwWcnNzhxUWYGhFW2bX8bAIKrUsC1VRVJwLk47JcM33c/Lhf7cIqeKG9PNKL4sYv3NBqksiWkZxQRRF7HY7UVFRQ/7+lFNOAeCjjz465ndbt24d8Bg5CdZ5FRQUpiahkHUA35bsBdO2HkplEaIocvDgQQoLC1m0aBEZGRmShIXBqFQq1Go1Wq0WvV6PTqdDo9EM2FB0uVw4HA48Hg8xMTFkZ2cTHx9PamoqZrOZ5uZmvvnmG7766ivKy8ux2Wwh8R063piKzgW32x1w54IiLoyRob5sLS0t7Ny5E4PBQG5u7pjezME3nXB5XccjItVO3R/pi7CJQZZWlCHN1LrIDYe/zgX86BrSd+7AT74kl0VIERck5C0AREbKe4Eaqf/xGWecQWZmJq+++ioFBQW+n7e1tfHwww+j0+m47rrrfD+vr6+nrKzM77DFyy+/HKPRyB//+Efq6up8P6+rq+Opp57CbDZz0UUX+XUOBQWF44dQERf6L26DRaiIC263m/3791NbW0tubi5ms9mXn+CPsDAUKpUKrVaLTqfz/adWq33hlv2FBo1GQ0pKCosXL+akk05i1qxZiKJIWVkZ//73v9m3bx91dXV0d3fLNj65UZwLoU2gMxdGmueFCiFZFiGKIjU1NVRUVDBr1izS0tLG/IelVqt9dikIXFkE9JVGeNwOv44RjNr0kZCrFWXI9radGtfrUfF3Z8WfG5s/gpl/5w1cWYRUIcMos7gwkqKt0Wh44YUXOOecczj55JO58soriYqKYtOmTdTU1PD444+TkZHhe/xdd93Fxo0befHFF7nhhht8P7darfz0pz/1/dvpdGK1Wgc85vHHH/elGcfGxvLUU09x7bXXsnTpUq644goAXn/9dWw2G6+//vqwbgsFBQWFwYSKuNDfth/MMQRbXOjt7SUvLw9BEMjNzUWn0w0Z3Dga7++w8GGenqRoO6sX6DhxcSxazcjzRu9nMDgUsr29nZaWFoxGo29NoFKpMJlMmM1mZs2ahd1ux2az0dTUREVFBeHh4b7yCaPRGDJz1qkU6Kg4F/xjNIdqqBBy4oLL5aKoqIjW1lZWrFhBTEzMuJ4/+KYTGUBxQVBrQNoGpo9g1KaPhGxlER43hMiFuj/+tlicPPiZueCXc8Gf77T0z0fqgl8tRVyQ6FyIjpYvbMrj8Yza//i0005jx44d3Hfffbz++us4nU4WLlzIY4895lv0j0ZnZycbN24c8DO73T7gZ/fff/+AVknXXHMNZrOZhx9+mBdffBFBEFi2bBl33303Z5555jhfqYKCwmRErkVFqIgL3tcTzLEEO3PB4/Hw1VdfERsby/z58weUJg8X3DgUz2yup7gpA5VBTZMD3sqDTbvthKuaWJAucm5uDAmm0csIVSoVVquVoqIiZsyYQWpq6jHhkN7HhYWFMX36dNLT03G5XDQ3N2Oz2SguLsbtdmMymXxig14vbz7SeJkqC/KQ3Wj0g0AHOo42zwsFQkpc6OzsJD8/H4PBwOrVq9Hpxj/JH3zTkTmMfURkKYvw174uM3IFOno8blRM7T7EoYzfkw9/HAT+fKf9ci5ILIvQSAh0lCguhBvkC4Wx2+0Ao950cnJy2LJly6jHe+mll3jppZeO+XlGRoak79O5557LueeeO+7nKSgoKPQnlMQFb6hjsAimc6G5uRmXy8WMGTOYMWOGzzUgCMKYF5BOl4eHNjbS4s46Zv9JrY2glwj21sGeN9zgaCItrotTFoexfJ7xmAW3KIrU1tZSWVnJ/PnzSUxMHPD7wa0uve+bd7xms5mEhAREUaSzsxOr1crRo0cpKysjMjKSuLg4zGYz0dHRAV3sT7WyiKnyWrwEOtBR6RYxDurr69m/fz/p6elkZ2dL/vId41wIYBcaldr/tzPUxAXo27X2d1xSd5Ennql1kRuWIHaL8KfUx5+bkNTOK2rN+HcopH6/5bzJdnV1AaOLCwoKCgqTmVARFyD47SiDIS6IosihQ4c4ePAggiCQmZkpKV+htd3Br/7WgVuXNepjBZUaDMnU2uHvX8JLn7Vh1NlYMlPFubmxRISpKS8vp7GxkWXLlg3Z3nioDhTecQ9udRkREUFUVBQzZszA4XD4XA379u0D8Dka4uLi0GonduNsqpVFKM4F/86lOBfGgdPpZNGiRSQkJPh1nME3Hb0W+sLkJn4RORWdC9B3URfd/o1L6i7yhHO8aAv+3pz8uBn4lSPiTzmGW2pZhARxQYJzQW7x3m63+9K0FRQUFEINOcsi+mdrBZNQcC6IohiwHWGPx0NRURHNzc0sWrSI/Px8ScJCZZ2dJzaD2jBd0jg0eiN2jOw4CF+UOxF7jhBncHLRaQuGFBYGM1xWw1CtLtVqNQkJCSQlJSGKIu3t7VitVg4fPkxpaSlRUVE+V0NkZOSEfA5TZbd/KgY6BtK54HWoKpkLYyQ9PV0W9TeY/Y8FGZwLhFi3CJAn1DFkxYXjRl0IZuaCH4GO/rSilNjWVaWV4lwYv7gg982os7OTiIiIKTMJUVBQUBiKUHMuBFNc8F7vAyEu9Pb2kp+fjyiK5Obm+hbixcXFmM1mzGYzGs3o8+B/5zXzj51GNAZ5FkgqtRYiMmglgxe/ANdHNuIjWsmZo+WMFbHodaPvKg92NfT/b7CrISoqCqPRSFZWFr29vdhsNmw2G4cPH0atVvscDSaTaUzvx2hMpVKCQOcTBIJAviavuKCURYyRiQz6EQQIhKtIFudCEFr2jYYcoY5SLeoTjTyBjqF/0fe/W0SwyiKkn9cj1bkgpSxCwrlUKnm/N52dnYSHh8t6TAUFBYVQI9TEhWCXRcDE2807OjrYu3cvMTExLFiwwBfmuGzZMqxWK1VVVRQVFREbG+sTGoZaAL3yYQO7DqWikZCpNlY0hjha3HFsLYYP9vWgF5uYk+Li3NxopieNfo8cqnzCKzQMdjVoNBqSkpKYNm0aHo+HtrY23/tRXFyM0WjEbDYTFxdHeHj4lBEJpDJVnQsTXRrjpaura1I4VENGXJCLoW46KgHcgRAX5HAuhGRZhAzOhRDrguHjOLnOi352i/CrPMGfzz4IooZGM/4UWCllEWqZb7DeNpTH++RFQUEhNJFzE8np9LM1l0yEQlkETGw7zKamJvbt28eMGTPIzMwc0HXBZDJhMpmYNWsWXV1dWK1WrFYrFRUVhIWF+YSGmJgYfvdaE3X2TFTqwN2j1BoDLtIoaoLCt0Uyoqv4yVXJY37+cOUTXsFhsKvBaDQSGxtLdnY23d3dPldDVVUVOp3O52qIjY0d8273VHMuTJXX4iWQzoXJ4lA9fsSFAJxbpZLH/hRqyONcUMoigoqfE4+glUX4sQCX+p1TaccvLkgp+9GM0r97vNjt9pC3yikoKCj4SzDLXwcT7LKIiRQXRFGkurqayspKFi5cSGJi4oj5CuHh4aSlpZGWluZr7Wi1WskrKOTdfRkIkfNkzxoaD/G6Kv778iS/jjFSKOTgVpc6nY5p06aRmpqK2+2mtbUVm81GeXk5DoeDmJgYn9gwkuswFNcFUpmqzoVAvSavuBDqhIy4IKei3dvbO+BnKhUBURcE9dRstShLO8oQLYs4XvC33GYylkVIzflQq8dv15TiXNCo5c9cCPUEYQUFBQV/CaWyiGCPxTt3lltc8Hg8FBcXY7VaycnJITo6elzBjRqNhoSEBNyqaJ75JAUhcuxuAbkRPW7mJ1Rz68XyjmG0UMjBrS5jY2OJi4sjOzubrq4ubDYbVquVyspKwsLCfEJDTEzMMYvVUN+pHiuKc8E/JotDNWTEBbkYKkVY5jn8sMjhXGDKZi6EqHMhxP9A5cLfLiT+CEz+lEVI/e71pWdLe81SLtpSAh21GnlvRl1dXUrmgoKCQsgykdlawSLYzgXvGOTc3XY4HL4uELm5uej1ekkdIQoOtPP8RwY0huAJC25XD2fNb2DDKRM/hvG0ugwLCyM1NdXn8mhpacFqtVJSUoLb7fYJEXFxcYpzIcQJdLeIyTDPm5LiwuCbjsxz+GFRTVXnghzdIkI0c+H4kBbwO9HUH4FJ9GPiJVXU8Kv9pQSkBDpqtfJemBTngoKCwvFAqIkLwR6LnAJHZ2cne/fuJTo6moULFyIIgu/1jUdYeH+HhS37EtDow2QZlxRcve1cf1onOQv8a3EvhfG0ulSpVMTFxREfH48oinR2dmKz2WhoaKC8vBxRFKmrqyMpKYno6OhJvThXnAv+MVnmeSEjLkykoq1RiwRiGSmPcyEEw1tUMjgXQmQicCwh9D5PIEHtFhEE54J0p4y074MU54JOJ+/l1263T4qbjoKCgoI/hJK4EOxAR5BPXLBYLOzbt4/09HSysrKOyRAYK3tKWvmgwIxGFzxhwd1j4aeXCMxIiQnaGPoznlaXERERREVFkZGRgdPpZMeOHTgcDgoLCxFFEZPJ5HM16Caw68ZEMNFdTYJBoJ0LSuZCEBgq6EfmDcJhkStzwe12oJHQDm+ikMO5EIpdMI4rglkWEYTMBal5C1LLZKRkLqgEEYfDIdvkYLLY5RQUFBT8Yajy12ARCs4Fb1tIqYiiSE1NDRUVFcyfP5/k5GRJZRBels+LYeFMN5/tOczuUhcWewwag0ny+MaLylHHAzdEEhMdmgvvwUIDMKKrAWDmzJmEhYXR3t6OzWajrq6O0tJSoqOjfUJDVFRUaG1MDkHIbZ7KQCCdC4q4ECSGUrQDJS7I5VzwuHohpMQFJXNhsuO/c8GPsgi/ukVIzFyQKGhIvemJEsoiRI+LHTt2EBUV5duJ8Mfy2NXVRXx8vKTnKigoKEw0SubCxI1B6j3e4/FQUlJCU1MTK1aswGg0+iUseNHr1KxdbWbt6r5/Fx9s4JM9dqqaDHi0ibLNlwcTRRX33pqAThu83fG9Jc10djk5cUkC6lHabnrv98O5Grq6unyCg9vtJioqCqPRSGZmJr29vTQ3N2Oz2Th8+LCvvCIuLg6TyYRWG3ql2opzwT8mi0M1ZMSFibzpBOrvS66LpdvZA4ZoWY4lB3J0iwh0DXxgCX2BQiSIrSj9cS5I/JuSKmYJSHudUsoi4s0mTjzxRN/kwGt57B/kpNePXWTs7OwkMzNz3ONQUFBQCBSCIPgtdoeSuKBWq3E6x3/9lxOpAofD4aCgoACn08mqVaskBzeOhflZ0czP6pvXtrR3suWrFvYfEuhwmdHo/F8siaKHOGE/399gRK0KXgDiW58d5oln38TtcqDTR5KZlcma5ZmsPyWNuJjR7+f9XQ3t7e3s37+f5ORkwsLCjnE1aDQaEhMTSU5OxuPx0NbWhs1mo7q6mpKSEoxGo28uERERERKOgakY6Kg4F44lZMQFuRjqpqPXBOZCI6hlEhdcDlmOIxdyOBdCN9Ax+BfbgOCvc8EP4Sw4zoXQL4sI02vR6XQkJSWRlJSEKIp0dHRgs9mor6/nwIEDRERE+FwNRqNxxJtyV1fXpLjpKCgoKPiDN+cgFCzWarWanp6eoI5BirjQ2dlJXl4ekZGRLFmyZEB5h9zCwmBio3V855xEvgO43SI79tWxY38v9e1RqPTx4z63x+1kSXIFa+aKVFRUUFRURGxsLGazmfj4eMLCApP98Ow/y3jl9fd9cx5HbydlJfspK9nPX19WEZ+UxpIFmZx3ygyWzIkd8XW2tLRQUFBAWloamZmZvtIXt9vta3M5OKvBaDQSGxvLzJkz6enpwWazYbPZOHToEFqt1ic0xMbGotEEZ/k3FQMdA+lc6OrqIiEh8AGl4yWkxIWJUrRVOIGJV5VUKrkyF3plOY5cKM6FyU8wW1F6/PjspbqBJDsXJIoZUs4XFjawHlQQBKKjo4mOjmbGjBk4nU6fq6G4uHhAeyqTyXTMhGmyKNoKCgoK/uDdJXS73UFbJHkJhbKI8WYuWK1W38J15syZkoMb5UCtFjhlqYmV83ooKCiguVNDdes0Khv0ONWJqNQj5ya4HHYuzW3mtOUZAMyaNYuuri4sFgtNTU2Ul5cTHh5OfHw8ZrN5VJFeCqIo8qs/7+GTz7aP8BgPTfXVbK2vZuvHEBYRy6zsTE5Zmcn5J6USHvbt97ipqYmioiJmzZpFamqq7+cjtboc/BlqtVqSk5NJSUnB7XbT2tqKzWajsrKSnp4eYmJiMJvNxMXFBTSraao5F7yfQyC7RUwGh2pIiQty4BUXvIr2kSNHaG/VAamjPtdfVDI5FzxT0rkQooGOU0xBHZZJmrmgCnjmgsSyCCnOBcPIYqRWqyUxMZHExMQB7akaGxspLy8nLCyMuLg4AKZNm4bdbicqKmrY433zzTfcd9997Ny5E6fTycKFC/nJT37C5ZdfPuYx9/b28thjj/Hyyy9TW1uLyWRi3bp1PPjgg8eo6dXV1cyYMWPYY913333cf//9Yz63goLC5EeOTSSvoBAq4kKwSzTGk7lQU1NDeXk58+bNY9q0ab5F6US7FUaio6OD/Px84uLiyMmZ61t82rt7+Gj3UfaWe2jpjUOjNw54nqunmR+e72ReVpzvZ4IgEBERQUREhK/bQnNzs68ThiiKvraPcnRbcLo83P7wdvbv2zuu53XbW9hXsJd9BXt56gUt01IyWLE4i5XzwuntqGHBggUj7lCP1urSKzR4QyG9GxPQt/vtdTVUVlZiMBh8roaYmJgJXShPNedCoEW5yeJQnZLiAoDL5aKyspKjR4+SnHgSdZ0Tf265nAsed6iJC/7/0fize63gP/47F/wRFyZR5oJEEUVKGUZE2NgnNYIgEBUV5WtP5XK5aGlpwWaz8cgjj/DBBx+gVqvZvn07K1euJCsra8Dzt23bxjnnnIPBYODKK68kKiqKTZs2ccUVV1BbW8udd9456hg8Hg8bNmxg69at5Obmcskll1BRUcELL7zAp59+yq5du4YMlFy0aBEXXnjhMT8/9dRTx/z6FRQUFLwIgoAgCEFf1MPkaUXp8XgoKyujoaGB5cuXExMTM2H5CuPBYrFQWFjIjBkzyMjIGDCOiDANF52awEWn9u147y09yvb8bg7bIhAED/debSAxbnhBHY4V6dvb27FYLNTU1FBcXIzRaMRsNmM2m4mMjBzX+9DZ5eTWe7ZwuPqAxFffh8ftpO5wBXWHK3jzHYgyxjNvro4zVrk4Y2XSmMIpR3I1DC6fMBgMpKSkMH369AFzibKyMpxO54BWlwaDwa/XNpip6FwAAupcUAIdx4lcZREAe/fuxe12s2rVKj4pDEy9lVyZCyEnLvixsPQSqpkLkyGMURaC6VwIQqCj1MwFqeUfUpwLEeHSO8JoNBri4+OJj4/nxRdfJD8/nwsvvJA9e/Ywd+5c0tPTueGGG/jlL3+Jy+XilltuQaVS8cUXX7B48WIA7r33XnJycvjFL37BpZdeSnp6+ojn3LhxI1u3buWqq67ilVde8U3CnnnmGW677Tbuvvtunn322WOet3jxYsWhoKCgIBuCIIRMqONkKItwOp0UFBTQ29s74cGN46G2tpaKigrmzZtHUlLSiI8VBIHl82JYPi9G8vkEQcBoNGI0Gn25BFarFavVSlVVFTqdzic0mEymEReM9ZZubrvnLWyWOsnjGY6ONgu7d1nYvesrfqM1kJaeyaplmVxwWjrT4kcvYRjN1TC41aXXySGKIna7fYBDMjw83Cc0yFFSMtWcC2632yd2BoKuri5FXAgG7e3tQJ9auXz5cjQaDWG6wAQ6ype5EGLiggzOBULUuTCFrnEj4m+3CKnlCeBnWYREwU5yWYTUzAUJ4kJkhDztZlUqFUuXLkWr1fL0008zf/58tm3bht1uB+Czzz7j4MGDfPe73/UJCwBGo5Ff/OIX3HDDDWzcuJF77713xPM8//zzADzyyCMDbqS33norv/3tb3nllVd44oknAhaepaCgMPmYau0oQ6UsYjhxwW63k5eXR3h4OCtXrhzwvgVLWBBFkfLycurr61m6dCkxMTEBHwOAwWAgNTWV1NRU3G43LS0tWK1WysrKcDgcmEwmn9jQ/75WUtXGT361CXuHbcLH6HL2UFVZQlVlCa+8Dqb4VE6Yl8nZJ87gxCVjC78c7Gro/99gV0N4eDiRkZGkp6fjdDp970lRUREej8f3nphMpnF1s/IyFZ0Lgfw7mizZWlNKXKirq6O0tBRBEMjOzvbV4o3DfewXcrWinJrOhRDNXDhOnAv+OoKC5VyQKthJLYtQCYErw4j0w7kwFN7+x5GRkaxfv9738+3btwNw9tlnH/Occ845B4DPP/98xGP39PSwe/duZs+efYzDQRAEzjrrLJ599ln27NnDSSedNOD3R48e5U9/+hNtbW0kJiZy6qmnHlO2oaCgoDAeQkVcCJWyiKHu8TabjYKCAlJTU8nOzh6wmAzkbmt/3G43hYWFdHV1kZOTE9AwwZFQq9U+IWH27NnY7XasVisNDQ2+zk1ms5mDDRp+8/QWnL32oIyz2VLH9s/r0GrVnLR0/F0Dhiqf8AoNQ7kazGYzCQkJA7pZHTlyhNLSUqKionyuhujo6DF9n6aicyFQYonXWTJStlaoEFLigtQvnMfjobS0lIaGBpYuXcr+/fsHXOxlnsMPi2xlEa7g9kwejCyZC0pZRHDxN3PBj3oy/1pRBrosInDOhahI+WoZ3W433d3dQ9rlKioqAMjOzj7md0lJSURGRvoeMxwHDx7E4/EMeYz+x66oqDhGXPj444/5+OOPff8WBIGrr76aZ555ZlIo8AoKCqFHqIgLoepcqK2tpaysjLlz55KSkhISwY09PX0dITQaDStWrECrlcftKzeCIPiEem8opM1mY9MnNbzxzq7gbgAKAldech4/vGqe34carnxiuFaXkZGRvm5WDofDFwpZV1eHIAgDshqG+mxFUZxyzgW32x2wvAX4dhMp1AkpcUEK3ouVx+Nh9erVhIWFHXPTiTAERlWWLdDRE2riggzOhSAr+8Miwz12MsgTfgc6Bsu5IFGwkxogKlUglCJmRMsoLnhLIIa66bS1tQF9ZRBDjiM62veY4RjLMfo/DiA8PJx77rmHCy+8kKysLDweD3l5efzyl7/k73//O11dXWzatGmUV6agoKBwLGq12rfLGuxxBNu50D9zwePxcODAAY4ePcqyZcuIjY0NiXyF/h0h5s6dO6kWmFqtln9ts/HGWzuC6sJVqTR8/8YNXLV2YloRDhcK6RUF+rsa1Go1iYmJJCcn4/F4aG9vx2azcfjwYUpLS4mOjvYJDd6gTK+7ZjJ99qPh8XgCKi4o3SICQEtLCwUFBcTFxTF//nzfBzxYXAiUc0G2VpTu4N8w+yM15G4AIVoWIcgiDYS+vOBvWYR/mQvSxQW1WppgJ1XQkCIQSnEtAERFBUZcCBYJCQn86le/GvCzM844g1WrVrF06VI2b95MXl4eS5cuDdIIFRQUAs1UzFwItrjgLYtwOp3s27ePnp4eVq1ahcFgkCQstLY7eP4dGwsytZyxwjSmbgUjYbVaKSwsJCMj45iOEKGOKIrc+8ev2f75F0Edh0Zr4K4fX8LZq6cF5HzjdTVER0cTExNDVlYWPT09PldDTU0NarWauLg4YmNjAfmuAaGA928rEIzkUA01JqW4IIoitbW1HDhwgFmzZpGWljbgyzr4piPjBuGIyOVcEKeicyFkyyKOE/xuRSn9UuGPa0UIdOaChNcpVVwwRskXfGi329Hr9UNaEb1ug+HcCe3t7b6b/nCM5Rj9HzcS4eHhXHvttdx99918+eWXirigoKAwbkJJXAj2OFQqFb29vezatYuwsDC/ghsrDnfy5FsCakMWdUXwfn43YUITC9LdnLc6lvjY8e3WjacjRKjhcHr474c+o6gwP6jj0BuieOSuy1ixIC5oYxip1aX3P+/jtFotycnJvnKc1tZWbDYbhw4dAqCwsBCz2UxcXBzh4eGTWmwIZOZCZ2cngJK5MF7G8gVzu92UlJRgsVhYtmwZJpPpmMccIy4EKLxcUKlAUPm9kJuKzoXQLYuYvBe18RDUQEc/hCWVZOeCRHFBI8G5IPFcYXr56k07OzuJiIgY8hraPw9h2bJlA37X0NBAZ2cnOTk5Ix4/MzMTlUo1bDbDSLkOQ2E2m4FvHRcKCgoK4yFUxAVvWYQoikFbJDkcDpqampg+fTqzZ8+WHNz477xm/rHTiMbw7eJFrQ3DQTp5R2DP625UjkYyEro5c3kEC2dGD3usUOkI4Q/bvm6gocnWN0/0cw4llYioOP7wwGXMSg+dBeVorS69QoM3FDImJgaTyURaWhpffvklZrOZlpYWX/vPuLg4zGYzMTExAS0xkINAZi50dXUBoeVQHY6QEhdGo7u7m4KCAgBWr16NwTC0JWFwLZ5WAyASCPu6SqXxO+xlSmYuhGhZxPGDv60o/XEuBF5ckCrQBbIsQs6JqN1uHzZ1+5RTTuGRRx7ho48+4sorrxzwu61bt/oeMxJhYWHk5OSwa9cuampqBnSMEEWRjz/+mIiICJYvXz6m8e7evRuAjIyMMT1eQUFhajAVyyKAoIkLdXV1NDY2EhMTw5w5c3yLPO/Cbqy88mEDuw6lotEN315NpVKDYRrV7fDCZ+D6oJn4iBZy52o5vV/5hLcjhN1uD6mOEOPlnDXTOGfNFTTaenh3Ww1f7q2i+lAlLmdPQM4fa07h2QcvIjk+tNs7j+Rq6P836nT2zZWmT59OWlqar/2nzWbjwIEDOBwOYmNjfVkNk6GtdSAzF7wOVW8nxFAm9Ef4H5qbmykoKCAhIYF58+aNeNEM5k1HpZZDXAgx54IM3SJCV1xQnAtjwZ92pP589mq1tD6ykjMXJIgZUsRAuSeh3gThoY57xhlnkJmZyauvvsqPf/xjFi9eDPSVODz88MPodDquu+463+Pr6+tpa2sjOTl5QJnD9773PXbt2sVdd93FK6+84jvXs88+S1VVFd/73vcGTAby8/NZvHjxMWPavHkzGzduJDY2lrVr18r5NigoKBwnhIq44F1YBNIeDX339AMHDnDkyBGSk5MRBEFSvoIoivz2lQbq7Jmo1OO7L2kMJlrcJrYUwXv5XYQJTcyb7iQlvBaTUUNOTk7IdoQYD4lxBm6+dDY3Xzobh9PDp7sb+GRnFSVllXS2WSbknNNSs3juoXUYI6XNgeRAFEWe2dyAKVrFOStjiYkefSwjuRpaWlpQq9U4nU6f+GUymTCbzYiiSFdXFzabjaamJioqKggLC/MJDTExMSEZBBnosojhHKqhRkiJC0O9YaIoUlNTQ0VFBbNnz2b69OmjvrFD3XQC5WqSI3fBn53eicCfhaWXUM1cCP0/UXnwu1uEH2Gl/nz2UjMXRFFqWcT4b+SiBJeESiW/uDBcgrBGo+GFF17gnHPO4eSTT+bKK68kKiqKTZs2UVNTw+OPPz7AQXDXXXexceNGXnzxRW644Qbfz6+//npef/11XnvtNQ4dOsQpp5xCZWUlmzdvZsaMGTz44IMDznvHHXdw8OBBVq1aRWpqKm63m7y8PHbs2IFer+ell14aU0aDgoKCwmA0Gg29vb3BHsaAHdtA4XK52LdvH11dXeTm5lJfX09zczM9PT0YDIYxLz66elw88GIzPeosvytE1dpwHGRQUA95nkwERyMzKq2jlk9MNnRaFWtPnMbaE6cBJ1Ja1c672w+xZ99BGo5WyzJ/n54+k7tunI2rtwNPeGxQFtVut8h9f2mkgyywwY5KFypXI5kJPZy+bOyfqdfVUFdXR1VVlS98f6hQyLCwMNLS0khLS8PlctHc3IzNZqOkpAS32z2g1aVeH6Ck/lEIZKCjV1yYDISUuDAYt9tNcXExNpuN5cuXjxo65mUocUElgDsA4oI/izAvIScuyOFcUDIXgovf3SKCUxahlrDYB+llEVKcElKcC4EUFwBOO+00duzYwX333cfrr7+O0+lk4cKFPPbYY1xxxRVjOodKpeLtt9/m0Ucf5eWXX+b3v/89JpOJm266iQcffJD4+PgBj7/mmmvYtGkTu3btwmq14vF4SElJ4eabb+bOO+9kzpw5fr1mBQWFycdULIvwugYCQVdXF3l5eej1elauXIlGoyEmJoampia+/PJLjEYjZrOZ+Pj4EXc5j1q6efQ1B4IhQ/YxDlU+kRDRQu48Lact97/7RCgxNzOauZmLgEW0djh47/Navvi6isrKSpy9neM+3rLlOfzvd+fS3GyluLgYl8uFyWQiPj4es9kckEV1r8PNPS/Y6NV82/JSpdaAOoWqNqj6z2dqDm9h+WwNZ+WYMOiH34Ssrq7m0KFDLFmyxLeO65/P4P3//q0uVSoVZrOZhIQERFGks7MTm81GfX09Bw4cICIiwpfVEB0dHbTd/EBnLijOBT/p6uqioKAAlUrla6kzVtRqNQ7HwNIElQCBuPTL41wItbIIJXNhsuO3c8Gfsgg/hCVVwMsiJIgLEjIX1Gp5J1ejiQsAOTk5bNmyZdRjvfTSS7z00ktD/k6v13Pfffdx3333jXqcm2++mZtvvnnUxykoKCiMl1ARFyBw7ShbWlrIz88nKSmJ2bNnA32LG6PRSE5ODg6HA4vFgsVioaqqCr1eT3x8PPHx8QNs5fllbbzwcRgaQ/KEjxn6yiea3SY+KIR38/rKJxZmeNhwsimotn+5iYnScemZKWSaGgkLy6XNlczHX1azv+Qgrbajoz7/rDNP497b+nKLkpK+XVRbLBaOHDlCSUkJUVFRPqFhIhbVnV1O7vlrOx5dxoiP0xhMtHpMfFIKWwt70XkamT3NyTmrjGQk92VsiKJIVVUVtbW1LFu2jOjob90O4211GRERQVRUFBkZGTidTl+ry/379yOKos/RYDKZ0I2QGyI3Ho8nYBkIY5nnhQohJS54/0hsNhsFBQUkJyczZ86ccVtOhrrpqFXgDMB9SCWDcyHYPZMHI0e3CH87aEwcMlyYQ19EDK5zwY+yCMnOBandItTj3xWQ4pLQTIC4MBkShBUUFBTkINTEhYkei3dx6S0PHiq4Ua/Xk5qa6itDs9lsWCwWCgsL8Xg8mM1mimoj+PJQFhp9cMLyvOUTRTXVXK6dXJ0BRqOzs5O8vDzMZrNv7XLqiiQgl+qjnby7vYbdeQepPXxoYDabIHDlJefxw6vmDTieIAhERUURFRVFZmYmDocDq9WK1Wrl8OHDvt19b1tHfxe5zW293L+xB8EwfVzPU2v0uEmjxArF74h4eq0kRbWTaW4mKcJCTs7yUecnw4VC9nc39H9cQkICSUlJiKJIe3s7NpuN2tpaSktLiYqK8rkahsuikgu32x0wMaOzs3PSzPNCSlwQRZFDhw5RWVnJ3LlzSU1NlXScIcUFNRCAJgyyOBdCLJ9gagc6Hh+IwewW4cdnL925ILEsQoKYIaUsQm5xYTLddBQUFI5f5CyL6N8VLJh4a8gnAm9Lx9raWpYsWUJcXNyYghvVajUJCQk+W3l7ezvPvtlAbc9c1EFe1CcZDvK/1yZNCnv3WGlpaaGgoIC0tDQyMzOPeW0Z0yL50Xfm86PvzKerx8WHO46wffchKioPcd3lp3DV2sxhjvwtOp2OadOmMW3aNDweD62trVitVg4ePEhhYSGxsbE+sWG8O9xHLd08/JobtZ9uFkEQUBvisTjjsdRn4Xba+bDMwvz0TtauiiXBNPoGznhbXUZFRWE0GsnMzKS3t9fnajh8+DBqtXqAq0Ful0Ggu0UozgUJdHV1UVtby4oVK/zqiavRaI4RFzQBKvGSJXMh1MQFWQIdg9MjeDSm0s1tRPx9//0qi/CnFaW0vyePxHOqNYFxLmg18t6Murq6Jm27LwUFBYXxEmrOhYkQF1wuF/v376ezs5Pc3FwiIiIkdYRwuUX+75/dtHqWEMzAfY/HxaLkGm7eEJhyjEDR1NREUVERs2bNGtOmaLhBw8VnpnPxmenAqZLO6e20YDKZmDVrFl1dXT5Xg7fTgldoiI0dORSyss7O7zer0RgSJI1lJNTaCHqJIO8I7H3DDQ4L0012Tlkcxor5xjF9h8fa6lKlUqHRaEhKSvIJMG1tbdhsNg4dOkRxcTFGo9EnNsiRXxDIbhHezIXJQEiJC5GRkZx44ol+f1BD3XQ0apFA+Nf92eH1EWplETJkLoRuWcTxgb/OESktGr89d+AngJKdC9qxZ7t8e67xOxd0OnkvvXa7neTkqTVhU1BQmJoIguD3hkMoiQsTMZbu7m7y8vLQarWsXLkSrVYrSVhobXfwwN868OhG3xmfSNzOHtYuauT8E6fWfaquro7y8nIWLFhAQoL8i/OxEh4efkynBavVSlFREW63m7i4OOLj44/ptLC/op1nPwxDY5j4zk2CSg2GJOq64JWdsHFbO0adjSVZcO4qE1ERo88zx+tqMBqNxMbGMnPmTLq7u32uhkOHDqHT6XxCQ2xsrCQHQiCdC5PJoRpS4gIgiwI0pLgQoFcqT1lEaC3E5chcCLXX9C3Hh3PB34mcP9/rYHQKkZq5oA5Q5oJOZluqkrmgoKBwPDGUQzVYyO1caG1tJS8vj8TERF9XHe9rHY+wUHG4kyffElCPs4Zebly9bdx4pp1lc+NHf/AkwRtWePjw4QFdEEIBjUYzoCSmo6MDi8VCbW0txcXFREdHYzabqbGGsembJDT64MwdNPpo7ETzeUkTJy52j0lcGMx4XA2DM0laW1ux2WyUl5fjcDiIiYnxiQ1jdYIG0rmglEX4wUQp2roAlZjJUxYRWgtxeZwLoVkWcZxoC347R/y5eAbHuSCxW4QE54KUbhH6CXAuTJabjoKCgoK/hJJzQc5Ax6NHj1JcXMysWbOYPn26b8HkPc9YEUWRVz/pAHVwnQKenkZ+fpmK9OSYoI5DTjweD2VlZVitVlasWBHSwr4gCERHRxMdHU1WVpYvk2DrV03sbZiJRhecYE8vnp4G7r9OjznG/xab/V0NXrGvv6thcKvL2NhY4uLiyM7Opru721dWUllZSVhYmE9o6N9p5ZjxB9C50NXVNWkcqiEnLsjBkOLCpHIuhNZCfGoHOh4f6kIwv1PSMxekfzZSyyI0GgnigoSyiIkQF0J5gqOgoKDgRc5NJFEUg56dJEegoyiKVFZWUlNTw+LFizGbzZLKILwIgsB9NybjcHr47JvD7Cp1YemKRaMP3A672lHLgzdFS9qRDlXcbjeFhYV0dXWRk5ODwTD+OUMw0ev1fF2uIa9pOWptkNuA9h7hwRsjJqQdqVcM6O9q6P/fYFeDwWAYUFbS0tKCzWajtLQUl8vlEyLi4uIGfOaBdi5MlnnelBUXBqcIa7WBWVzJ0YoSP5P95UaWQEdCSzDxIhwn4kIwv1OShSU/JozSW1GO/+9XSlmEQS/vZMtutxMVFSXrMRUUFBRClf4114HaORwOf50LLpeLwsJC2tvbfcGN3jmsFGGhPzqtinNXmzl3dZ+AUXCgnk/3dlFji0DQJ8iyeTQURlUV93w/AW2g0tSH4fWPG4kzajhlaazfY3E6nRQUFACwYsUKtNrJJ5q8/EEDXx9Ok2mtIh2Vo44Hb44mIiww4xip1eVQrgZvRoUoitjtdqxWKw0NDZSXlxMeHu5r/+l2uwPaLUIRFyQyUYq2YRI5F0KthECWm0+oOhdk0BaCvWsyFoKRe/DtuaVNuvwRfvzpUDFepJRFGAzyiwtKWYSCgsLxgndCH8jJ/XD4k7nQ09NDXl4earWa3NxcX3CjKIp+CwuDEQSBJXOMLJnTF95X19TClp1tlNZpcaoTJbd+7o8oejCJe7nh7Agcvd1o1OFBmSOJoshDGxuwOLIAeOsbOxGqJhbO8HDeqlhMxvHZ8L2fU3h4OAsXLgz6d04KT2+up9QyI2A77cOhcR7moVtiMeiD8x4OFwrpDYQc7GoIDw8nIyODjIwMnE4nzc3N2Gw2CgsLcTqdHDp0iMTEROLi4tDpJs4NogQ6BpmhFG29bvI4F0KuLGIKt6I8bsoigugckZy5EATnghSkdIsIk1FcEEWRrq6uSXPTUVBQOL6RY7HpXSC4XK4JndCPBallEW1tbeTl5REfH8/cuXMBacGNUklNCOOWC/tq7u3dPXz41VH2Voi0Oc1odON3wnncDlbNqOHkBUYsFgsHDx7EYDBgNpuJj48fsXZdTnodbu79i40edZbvZ2ptBD1E8M1h2F3tQuVsJCuxh7NzopiTMfK9s7Ozk7y8PMxmM3PmzAn64lwKeWVtFB0xodEHd+x6dzUPfs+MThs67+FIoZDe//o/Lj4+nsTERERRZPv27YSFhVFXV0dpaSlRUVHExcVhNpuJioqS9W94Ms3zprS40F/RltmFPCyCHM6FECshmMrOhcngOpCFIL7/Ul0T/jkXpIgL0s4npSyirdVGWVmZrwWSxs92NopzQUFB4XhCEISQCXWUUhZRX19PUVER2dnZpKWlSQ5ulIuIMA2XnJ7AqYts5Bd8TqtzGgcajNS3G1EbzKM+3+Xo5MrVrZy0NAXAl8hvs9mwWCwUFhbi8Xh8QkNcXNyElBW0tDu4f6Md9BnDPkal0oA+hYOt8PRH4O6xkhjVxur5Ok4eVD7R0tJCQUEBaWlpZGZmTto549I5RpbOgYLyBj7ba6fGEoZHl4hKhs3DsRIhVvHr7yWiVofuezieVpdep316ejoGgwGHw+FrdVlQUIAgCL6cBpPJ5Pf3fTLN80JOXJDjD7e/uOAlLEDCdrDrmCYCObpFhGrmwvGCf84R//4mg+NcGP85pV57pAQ6pkxLRK1Wc/DgQbq7u49pgTTesSiZCwoKCscboSIujMe5IIoiBw8e5NChQyxatIj4+Hjf7mgg3AojUVdXx4EDB5g/b96AVPoD1Y1s/bqTg40GPNrEvsV5P1w9Nn58gYvZGaYBP1er1QNaIra1tWGxWDh06BBFRUXExsYSHx9PfHw8YWH+dy2oqbfz23+C2pAyruepDWasTjPvFMDmr+1Eqps4YYaHnFkeaqvLmDVrFqmpqX6PLxRYPCuaxbOiAbC2tvPhV60UVgvYPfGotRO3cI1RVXH/TYlBF2e2720mKU43qlvFy0iuhvb2dt/PXS4XGo2GxMREkpOTfb+32WxUV1dTUlJCdHS0z9UQERExrvfCm/0wWeZ5U28lzNCKdpg+QGURqqn3lgpyqOghWxZxfBDMbh1SFvog3TEjih5pTg2J55OSuRAXE012djbZ2dl0dXX51O6qqip0Op0vLCgmJmbU2k6Xy0Vvb++kscspKCgc38i1wAgVcUGlUuFwOEZ9nLfTQFtbG7m5uURGRvrVEUIuvJ0qjhw5wtKlS4mNHdhRYnZGFLMz+hY1zW0dfLCzlf2HVHSJCag9Ldx/bRjxsSMvegRBICYmhpiYGN99z2q1YrFYKC8vJyIiwic0REdHj/u9KDjQzvMfhaExGMf34geh0fWVT3x9GHYdciE49GRbHZyd0+F7D6YK5hg916xNBMDp8vBFXi07ix00dozNrTJWotxF/PelMUHv7PLyBw18czgdQaXG1WMjIaKVnLlaTl8ei143+iZqf1dDZ2cnxcXFZGRkoNPphgyFjI6OJiYmhqysLHp6enzzvJqaGjQajW9Daazu1a6uLsW5EGyOERcC5FwQZHIueG82oYAszgVFXAgu/rz/ft4MAt0tQnKApGTnwvjLIsLCNDgcDl8LpOnTpzN9+nTcbrevBVJZWRlOp3NAC6Shdnc6OzsBFHFBQUHhuCJUxIWxOBd6enrIz89HEIQBwY3BFhbcbjdFRUV0dHSwYsWKURcvJuO3C1KH040oRo1pYTaY8PBwX+s/p9PpK5/Iy8tDpVINKJ8YTWD/eLeVt/eY0ejDxz2OkVCpNRA2ncpWqOxfPrFAx8lL/O8+EUpoNSrOyInjjJy+f1fUNPHRNx1UNuhxqRNRqaVZ+hM0JWxY3cX+/YcRRRGz2ezbPAlkVspL7zWQV5fh2yzVGOJodsfxYRG8n9+DgSbmpDo5N9dIauLI36POzk727NnD9OnTycrqy/UYrdWlTqcjJSWFlJQUPB4Pra2t2Gy2Y9yrZrOZsLCwIa8HSrcIP5goRTt8fMGwkpGlWwTgcfWg0sl7oZSKPK2KQjNzoQ+BUMu5kBt/nAt+/0VKPLdUUUtymKNUp4QE50J0ZBgqlWpItdtkMmE2m5k1a5bP1dDU1ERFRQXh4eE+ocFoNKJSqbDb7cDw4sI333zDfffdx86dO3E6nSxcuJCf/OQnXH755WMeb29vL4899hgvv/wytbW1mEwm1q1bx4MPPkhCQsKQz3nllVd48sknKS4uRqfTsWbNGn71q1+xdOnScb5bCgoKCscSKuLCaN0i2tvb2bt3L3FxccyfPx9BEAIa3Dgcvb297Nu3D0EQyMnJGfdiT65QPq1WS1JSEklJSb6Fl9fR0Nvbi8lk8rka9PqBk/nXPmpk58FU1AFoC+krn8iHzbv7yicWZYqctyqWmOjghorKTXZ6JNnpkRw9epS8gg+xuTI5UB9OmyMOjT561OeLokh2bBU/ujzD9++2tjasVis1NTUUFxdjNBp9YkNkZOSE/R385Z0G9h3NGNaFrdYacJJGYSPsf8uD2GthWkwnaxboWbModkBGxFDCAgxdPuEVGoaa58XExGAymYZ0r+r1et88z+tedTqdE+pQlWOe2J+QExfkov9NRxRF2pqPABkTfl65Mhdcrl40oSIuTOluERwP2gJ+vUA/Lvj+tISUeqORFuYoXURTCeMXT2JjItHr9aO2QAoLC/Pt7rhcLl8LpOLiYtxuN6+++iqJiYkYDIYhd3e2bdvGOeecg8Fg4MorryQqKopNmzZxxRVXUFtby5133jnqWD0eDxs2bGDr1q3k5uZyySWXUFFRwQsvvMCnn37Krl27iI+PH/Cchx56iLvvvpv09HS+//3v09HRwT/+8Q9Wr17Np59+ypo1a8b9nikoKCj0R6PRhIy4MNw4GhoaKCwsJCsri4yMjGPS54NFZ2cn+fn5xMTEMH/+/JBxynoFdpPJxKxZs7Db7VgsFurr6ykrKyMqKsonNLy0pYOKlkxU6sCP3Vs+sbsGdh2o5ze3qoPWWnGiqK2tpaKiglUrFxMXFwf0zeV3FR3hi4Ju6lqiEPTxx8ydRNHDgoRDfO+ib3M7+pfFzJw5k56eHqxWK1ardUA5qNlsxmQyydbq87k36ylqmjHm8m5BUCEYEmnoSWTTHnh9ZyeRagsLZ3g4aYGWQ5WFxwgLgxkqFHIkV8No7tW33nrL9/5PROaCHPPEwUx5ccFr+WqzOQiIuCCbc6FXluPIgTzdIkJ59T711QX/MhcCG6zoO6tk54LUsghp53M6pTkXYHwtkARBwGw2+8KxOjo62Lp1K++88w49PT0sX76c8847j/PPP5+cnBxEUeSWW25BpVLxxRdfsHjxYgDuvfdecnJy+MUvfsGll15Kenr6iGPduHEjW7du5aqrruKVV17xiT7PPPMMt912G3fffTfPPvus7/EVFRXcf//9zJo1i6+//hqjsa8G9gc/+AG5ubnccsstFBUVhcxkVkFBIbBMtcyFocoiRFGkqqqKqqoqTjjhBBISEkImuNFms7F///6Q74AgCAKRkZFERkYyY8YMHA4HVquVhsYm/vSOE1f4En+rNv0fY28dv7oxcsoJC9XV1Rw6dIilS5cSExPj+7kgCKxaGMuqhX25HHVNLWzd1UpprZYeIQGVSsuy1BquX5c8zJH7MBgMpKam+rqKtLS0YLVaKSsrw+Fw+Byc8fHxGAwGSa/h6U31lFr9+35rdJH0EPmfFqZuxB6BGUd7OM3ZxpLZY8sGGW6eJ4riqO5Vu93Ozp07effddwFYvXo169at47zzzmPNmjV+d6BwuVyyzBOPec1+jWoCkPOm093dze7du+nu7mbVyhNkOe5oyJW54HaPHg4UKGRxLoTw4t3/b1xo3pgH4Ie441dLSH/KMSQuPkUJrSH7zifte+52jf9vNTrq2JulSqVCrVaj0+kwGAzo9Xo0Go2vfMLtduNyuXA6nXg8HiIjI3n44Yf5wx/+QEpKCnfeeSeHDh1i3bp1vPHGG3z22WccPHiQ73znO74bBoDRaOQXv/gFDoeDjRs3jjrW559/HoBHHnlkwPX51ltvJTMzk1deeYXu7m7fz1988UVcLhe//OUvfcICwOLFi7nqqqsoLS1lx44d437PFBQUFPoTKuLC4LIIt9vN/v37qa2tZeXKlSQkJPg2u4ItLBw5coSCggJmz55NVlZWyAoLQ6HT6TDFJfLaV9NwhS8J9nDQu6p57FYjxsipUxLhDfesrq5m2bJlA4SFoUhNCOOmC5J5/IdmHr/Jya1nWbh+XdK4zqlWqzGbzcyZM4cTTzyRlStXEhsbS0NDAzt27OCrr76ioqKC1tbWMbugn/qn/8LCYFQqNerwVA53zmTjF8n811NO7n6ugc3bmujsGtsmU/95nl6vR6fTodFoBnQ5dLlcOBwO3G434eHh/OIXv+Cll17CYDBw//33Y7Vaueqqq3jqqaf8fk1yzRMHM2WdCx6Ph8rKSpKTk5k3bx4eMTA6ilzdIjxOxbkQOCbPzVUqfjkX/Hh7JLehRPr3ziNKLYuQ6pQYv7gQEzV6262RXA39J9Tt7e1ERERw9dVXc/XVV/smsffffz8AZ5999jHHPueccwD4/PPPRxxDT08Pu3fvZvbs2cco14IgcNZZZ/Hss8+yZ88eTjrpJAC2b98+4nlfeuklPv/8c04++eRR3wMFBQWF4QgVcaH/OHp7e8nLywNg1apVkoMbRVGkpqGbjGR5ymO9i8a6ujqWLFmCyWQa/UkhhrW1l1+/3AX6jGAPhVj1Qe65KWlAPf5kRxRFDhw4QFNT05jCPQdj0KuZnzV6HsNI9HerZGRk+MI+rVYrBQUFAANCIYfauX/y9Xqq2rIm3NWi0cfQQQyfV8C2MgcaVxMzk3s5e0UU2en+t7rs715ta2sjPDycyy67jMsvvxyPxyPJNTuY0eZrMPo8cSimpLhQV1dHW1sb8fHxvvCcvo9OZKIXknKVRYSUc0GGbhEhzdSvivAz8yJYmQvSvndSz6mS4FwQPZ5xC2fG6AgMhvHtdAxVw+cVEf76179y9OhRX5sntVqNWq2moqICgOzs7GOOl5SURGRkpO8xw3Hw4EE8Hs+Qx+h/7IqKCp+4UFFRQWRkJElJx+5e9H+8goLC8YmcDlWvpTiYeJ0L7e3t5OXlERsb68sxkBLc2NXj4oEXm+lRZ+DusTDN2M4piw2sPiFG0nvndrspLi6mvb2dnJycSdPOrj9VdXb+b7OA2pAS1HGIokh6VBV3fmdk2/9kQxRFSkpKaGlpYcWKFUN2pgoG/cM+vaGQFouFQ4cOUVRUhNFoJD4+HrPZTEREBL//Rz01HTMDPk6VWodHnUp5M5RvBa2zhse+bx6X+DTcPM/j8bBx40ba29txu90+R+vgcFMpyDFPHIopJS54PB4OHDjA0aNHiYuLIyoqKuCWL9laUbpDyLkgR2204lwILv6UJ/gT6BiEsghPAMsixtuZIjw8nL8+fu24zzMY703ovvvuo6SkhB07dhzzObW1tQEMKE3oT3R0tO8xwzGWY/R/nPf/h+sgMdTjFRQUFKSgVqtxOIK/EaNSqXA4HOzevZvMzExmzJgxwGEmCMKY76NHLd08+poDwZABgNoQT2NvPG/shle/aCNWb2PlHDVn55rG1ALS4XBQUFAguSNEKFB6qIOn3gtDY/BvV9xfRI+bE5KruXnD1BIWPB4PRUVFdHZ2snz5cskZBxNN/1DI7Oxsuru7faGQBw8e5NOSJOz6FcEeJq6eZn5yWbjfrhavIPmHP/yBd999l88++wyNRt5luxzzxKEIOXFB6kLGewF1OBysWrWK6urqY+xygjDxa1zZAh1DyLkAfRZ1fxaKoZy5cDzg1/vvR1mMX84FiRkIkrtFSChpGs+5wsPD+dvvryMhzv+0X1EU+fWvf83rr7/O9u3bmT17tt/HVFBQUJhMhEJZhCiKNDY24nA4WLx4MYmJiZLKIADyy9p44eMwNIahF68avZEOjHxSBlsLewgTGjkhw835a2IxGY/dxezs7KSgoACj0ci8efNkS+APNHMyIvnu6e18lm+htjlyyA4FE43H7eDkWUe57IypJSy43W727duHw+Fg+fLlk0p8CgsL83VZePRvR7HrA+9YGIyrp5mfXeYhPdl/d5Aoijz99NP85je/YevWreTk5MgwwsAQcuKCFDo6OsjLyyM6OpqlS5f6wjEG2+VUArgnWlyQzbngfy2NnAgqNaLbn44DoSsuCIIQwqOTiSB1i/DLuRDwsojx/+2OtTNFWFgYL/3uOhLN8ggLjz76KC+++CLbtm0bVljwKtHDqc7t7e3ExsaOeK6xHKP/47z/P57HKygoHF9MlW4R3h1fq9WKRqPxS1h49wsLWwsT0ejHtmus1hpwkM6eOvj6NRdqZwMzk3o5b1U0makRvo4Q3rZ5kym4cTCCILB8vpHl8/vuGzX1Nj78qp0DR3U41Ymo1BO7IHY7u7lwhZUzc4Z25AUSb/mjHLhcLgoKChBFkWXLlvndeSAYiKLIoy830NATAsJCbws/vcQjS06KKIr85S9/4de//jUffPDBhAkLcswTh2LSiwuNjY3s37+fjIwMZs6c6fuj02g09PYOLC1QqcCv9fEYEASV37v8AO5QExf8VYmn/Oo9tPEnc8Gvsgi/nAvSLk/jLVXwIkUYFD2j/52GGcJ46XfXkpwgj7Dwf//3fzz99NN8+umnzJ8/f9jH9s83WLZs2YDfNTQ00NnZOeoNKzMzE5VKNWzN3VD1etnZ2Xz11Vc0NDQck7swUn2fgoKCwngIprjgcDjIy8tDFEWWLFnCN998I1lY+POmesosGai10gR1lUqDqE+logWeeF/E3dNEJA2cvjSdrKwZk1pYGIr05AhuvbhvZ7jD3s2HXx0hr1Kg3WVGoxtbkN5YcfW2c/1p7eQsiJP1uONFFEXue+obdny1h6ysmZyck8UFp02X3KnC6XSSl5eHVqtl0aJFk9LVIooiD73UgMWZFeyh4Opt5c6LXMxIkcex8Le//Y27776bd955hzVr1sgwwqGRY544FJO2FaU3+Xb//v0sXLiQ7OzsAc8d6qajDtCrFdT+q39iyIkL/l54QlldmFo33qHwT+zyx7kwecoipJQ0jeZcMBgMvPi7a5mW6P9OvSiK/PGPf+T3v/89H374IYsWLRrx8aeccgoAH3300TG/27p164DHDEdYWBg5OTkcOHCAmpqaY8bz8ccfExERwfLly2U9r4KCwtRGjgVvsMSFjo4OvvrqKwwGAytWrMBgMPhcDBaLZcxjcro83PtCAwdsWbK0/Ia+91UTlkhP2Ao+KF3Afz3l5L4X6tmy04rDOcG7a0EgKkLLZWcm8sj3E/jDbQIXLq3FrD2Iu8fm97Gd3TZOS99NR2M++fn51NXVHbNpGQhEUeQnj/2bbds/x9lrp6xkH8+9tJn1332KK/57M799cR8VNR1jPl5vby979uzBYDCwePHiSSss/PrF0BEWbt/gIDNVHmHhtdde42c/+xlvvvkmp556qv8DHIGJmq+FnLgwFrxWniNHjpCbmztkKnkwxQU52lGGUrcI8D/UMZSlhQnvVxMK+FWe4E/mgvTzSv07GmupwjHnkyAKjiRkGAwG/vr4taQkySMsPPvsszz66KN88MEHAxbzw3HGGWeQmZnJq6++6mvhBH32t4cffhidTsd1113n+3l9fT1lZWXH2OO+973vAXDXXXcNcMA8++yzVFVVcfXVVw9Ilv7ud7+LRqPhoYceGnCsgoICXnvtNebOncuJJ5447vdAQUFBoT8ajSbg4kJTUxO7d+8mJSWFE044oW8xr9H4RIaqqio+//zzURejLe0Ofv50K22ezAkdr0YfQ6sniw+L0vjJcyr+5+kmXt3aSFtnaM0x5UCtFjhteRz3fDeZp34cxk2nHiHGvQeXvXbcLkpPTyP3XC1wyfrVrFy5kpiYGI4ePcq///1vdu/eTVVVFR0dHX524hodp8vDrfd9zJ5vdh/zO9Hj5mjdQd557yNu/MkznH/T3/if3+3ks68bcA9TA97d3c2ePXuIiopi4cKFvnDoyYbHA8tna4lVV+HqaQ7aOFy9rdx+gYPsNHkcM5s2beL222/nn//8J2eccYYsxxyJ8c4Tx0pIlkUIgjDsH2x3d7fPyrNq1aphw0eGEhc0k0hcECUm3k8UfjsXQrhbxHEgLfh3A/SrW4T0iZ+U1pDgR6CjBHFhuM4Uer2Bv/z2GqYnx0gaS39EUeTFF1/kgQce4P333yc3N3dMz9NoNLzwwgucc845nHzyyVx55ZVERUWxadMmampqePzxx8nIyPA9/q677mLjxo28+OKL3HDDDb6fX3/99bz++uu89tprHDp0iFNOOYXKyko2b97MjBkzePDBBwecd9asWdx///3cfffdLFq0iEsuuYSOjg7+8Y9/APD8889P2gmNgoJC6BBI54IoilRXV1NZWcmCBQtISkrylUEMTrG32+1YLBaOHj1KWVmZr11efHw8ERERVNR08uTbKtSG1ICM3YtaG04PGeyuga+qnGhcjdxwjoZFs4LbhWEi6OnpodNaykWrwlm4MAZbWztbdrZQWKOmR0hErRk+20LorePBGyN9JQeRkZFERkYyY8YMHA4HFovF1w5Rp9P5PtvY2FhZ721dPS5uvWcL1VVlY3p8e2sjO3c2snPnl+j0kWTNzOLknCzWn9pXPmG328nLy8NsNjNnzpxJXS6jVguct8bMef+pGCisbODTPXYOWcLwaBNkWYeNhqu3jR+v7yU73f+SV4C3336b2267jddee421a9fKcszRGO88cczHlX+oE0dzczP5+fkkJyczZ86cEf+IhxQXNCKBWEpK2QEdjNS68YlClnaUIYuf34lJcIH2L1hxsmUuSDunWkIolGeIzAW9Xs9ffnMNadPGH4IzGFEU+fvf/85dd93Fu+++O+4d/9NOO40dO3Zw33338frrr+N0Olm4cCGPPfYYV1xxxZiOoVKpePvtt3n00Ud5+eWX+f3vf4/JZOKmm27iwQcfJD4+/pjn/PKXvyQjI4MnnniCp59+Gp1Ox0knncSvf/1rli5dOq7XoKCgMPUYaRNprARKXPB4PJSUlGCxWMjJySE6OnrEfIWIiAgiIiLIyMigt7fXtxitrKyk2hZFvmUFGoO82QDjRVBpSIrp5YRs/+9ToUZnZ+eARbRKpSLBpOb6dX0u555eJx9/3cjXZW6ae+LQ6L91F+pd1fz61rhh23zqdDpSUlJISUnB7XbT3NyMxWKhuLgYl8uF2WwmPj4es9nsV0BiW6eDm3/xLg1HqiQ939HbSWnxPkqL9/HcRjVJyelkpEZzzqppk15YGIqFM6NZOLNPJGtu6+DDXa3sPyTQ4YpHo/O/XGEwrt42frS+l9kZ8ggL77//PjfffDN/+9vfuOCCC2Q55liRY544mEkjLhw+fJgDBw4wZ84cpk+fPurjh+oWITErZ9xIXRT1J+S6RUzlzIWpdY0dGr8CHf0oi/BH1JDYeUVy5oLG/7IIrVbLbVfMpaujAYvFhclkklzPKIoib7zxBnfeeSebN2+WXHuXk5PDli1bRn3cSy+9xEsvvTTk7/R6Pffddx/33XffmM979dVXc/XVV4/58QoKCgrjIRDigsPhID8/H7fbzapVq9Dr9eMKbtTr9aSmppKamsrf3q9nX3MaGl1wU/k9bhfLph/mhnVTq60iQGtrK/n5+aSlpZGZmTnk52PQq1l/UjzrT+q7z35dfJTt+d14RPj51Umo1WObFKrVap9rQRRFOjo6sFgs1NTUUFxcfIxjZaw02nq49ZdvYrPUjfk5IyF63NQfqaL+CHy1u4D/27iXhfNmcs5JWZy8NGHMr3eyYDLq+c45iXwHcLtF/l1Qx5eFvdS3R6PSm/0WVpw9bZyYuhu3PZbGRjNxcXFoNNLXfR999BHf/e53+ctf/sIll1zi19ikMtZ54lgJSXGhv6Lt8XgoLS2lsbGRZcuWYTKZxnSMoW462gC92inpXAhwT+HAMrUurEMh4keQU9DKIqT9HUkVF06c48QTfoiqRj3oE8dUltG/LEKn0/PsI1cREylgtVo5cOAAvb29mEwmzGYzZrN5QDbBaLz55pv86Ec/4o033uDss8+W9JoUFBQUpireeZ6c7fn609nZyd69e4mOjmbBggUDNq3G0xFCFEV+8/d6jnRloQryQs7t7GbdEgvnrj42q2yy09TURFFREdnZ2WPahIS+9cbKBTGsXBDj17kFQSA6Opro6GiysrLo6ekZ4FgJCwvzCQ1Go3FY53X10U5+eM8m2lub/BrPSLS3NPLll418+WVf+cTMmX3dJ9admiq5+0SoolYLnLrMxKn/aYRQVWflvS9tHDiiRTBMR60Z3+t19bZz29ouUuLmYbVaOXjwIIWFhcTGxvpcK+HhY29FuW3bNq655hr+/Oc/S3YJhCIhKS54GawYj2diPpS4oAuUuCBH5kKIiQvIlGSsECSC5Vzwoywi0IGO8TECSTHFXHHyHCKiOvnoGzv7qgTaeo2otEPfLLzigk6n47lHv0NWuhkAs9mMKIrY7XasViuNjY0cOHCAiIgI3w3IaDQOOzl99913ufXWW3n11Vc577zzJL0eBQUFhVBFrm4RoihOiLhgsVjYt28f6enpZGVlIYqib04pCMKYz9fV4+L+F5vpVc8MegWlq7eVW87uYfFsc3AHMgHU1dVRXl7OggULSEhICPZwMBgMTJ8+nenTp+NyubDZbL7vFOCbB/Tf9S6tauf2B/5JV2fgAgodvZ2UFBdQUlzAsxs1JKdkkLM4ixsunE1cjD5g4wgU5mg3CxMOcsHKGcQn9vDR7nr2lnto6TUNKI8ZCpejg++v7WLhzL7HmUwmZs2aRVdXF1arFavVSkVFBWFhYb7PNyYmZlgh6d///jdXXnklTz75JNdee+2UKlUJWXGhvb2dvLw8YmJiWLhw4bitxUOJC3pNYKz5cjgX/FmUTQRT2bkgTHHngr91rYIfTWX8KYuQ+nckVZhrbDrKqblrmDZtGgCXnR7DZaf32ep2FTfyZZGLIy3hiJoY301A9DjR6nQ888jVPmHBiyAIviCojIwMnE4nNpsNq9XqS+WNi4vzuRq89ZkffvghN910Ey+99BIbNmyQ9FoUFBQUpjreeaHL5Ro23Hu8iKLI4cOHKS8vZ/78+SQnJ/vcEcC4AvuOWrp59DUHgiFDlrH5g6engbuu0JKaOLXCG0VRpKqqisOHD7NkyRJiY0MvQ0Kj0ZCYmEhiYiKiKNLW1obFYvHteptMJho7Ivjdc9vo7Rl7S0m5ET0ujtZWUhxuICpiQdDGMVG0t7ezd+9eZsyY4QspvOjUeC46te979E3JUT7P76a2OQJ0CQOy5lyODm49x+7LdehPeHg4aWlppKWl4XK5aG5uxmq1UlhYiNvtJi4uzpfD4b1O7dq1i8svv5zHHnuMG2+8cUoJCxCi4kJDQwP79u0jMzNz2Jqp0fAq2t66OIBAlbnJkbkQeuLCFHYuTK2/6WPxY4EPQJCcC9IDHaWJC1kZ6T5hoT9qtcCaE6JYc0Lfvw83tvDx112UHdESpvPwzMPfITtj9J0grVZLUlISSUlJvgmG1WqlurqaJ554gs8//5zs7Gy2bNnC888/z6WXXirpdSgoKCgcD3jFBblyF/qX4a5YsQKj0TiufIXBvP1FK25igz7R1jgP88DNRiLDg5v1IDeiKFJaWorVamXFihVERgY3JHMsDO4s0tXVxZYvDvHUSx/jcnYHe3jMX7CYP9175pTLYRhKWOiPIAjkzI8hZ34MAPXWVj78qpXiw2q63ZHcco6TE7JHF+Y0Gg0JCQkkJCQMyOGora3lpZde4l//+hcLFy5ky5YtPPjgg9x2221TTliAEBUXuru7WbRokV/WJq/NyO12+8QFgzZQzgUZAh3F0CqLULpFTF78di74lbkQDOeCtIlmWurYalDTEg3ctN7bxmq+pHP1n2DMnDmT5ORkOjs7efnll1Gr1fzyl7/kq6++Yt26dZx77rmSzqGgoKAQqsgxoRYEAZVKJYu44HA4KCgowOl0smrVKgwGg1/CAsBtl/QFJuaX1fPJni4ON0ci6BMCupiIVR/knpvGHlI4WXC73RQWFtLV1UVOTg4Gw/CtJUOZz75p5g9//QSP2xHsobB02QqeuOuUKbfYHU1YGIpks4Hvru8/Jxx7Wb6XwTkcaWlptLe38/TTT6NWq/nNb35DcXEx559/PuvXr5cc/h2KhOSKMTMz0++aqaEUbUOAckqkBtH1Zyo6F/xd5CpIw58FPvgnLPnzPVZLFBekOhfCI4JXX3jkyBE2bdrE008/TUtLC08//TSiKPL0008HbUwKCgoKoY4cHSM6OzvZtWsXGo2GnJyccXeEGI0lc4z87Jpk/vjjKG4/30p27EHoPSI5H2gsiB4P2bEHuf+m5KALCw22bl7YdIBGW48sx3M6neTl5eFwOFixYsWkFRZe/aCK3zz1RkgIC6tXr1GEhQnGZrPx6quvcv/999PW1sbf//53oqKieOKJJ8ZVbjUZCEnnwkQp2oESF6S20OtPlMHFCdOOUFqrpVcwyRIS6Q9yOBdEtxvBj3YtE8fUupgei5+iTrBaUQa4W0RkeHDEha+//ppLL72Uhx9+mJtvvhlBEFi7di1r164NyngUFBQUJgv+igveDJzp06eTnZ09ILhRDmFhMJmpEfzXZX1tCS0t7bz/ZQtFNRp6hETUGnnuQW5XL3OMe7lwlZne3l70+uAJ52XV7dzxwCY626387TUV8Ulp5CzOZsOZmczJGH/+Q09PD3l5eYSHh0vKYwsVnnmjlFfeeN+vsG25OOP0U7n/hyuCPQzZCSVhobS0lHXr1vGDH/yAX/ziFwiCwOmnn87pp58e1HFNFKG40pONwTedMF2AyiLkcC6IIjet6wumaeuw8+FuOwWHVHQ6Y1HJdAMaD3I4FzweF6oQ/MpNMaH2GPx2LgSrW4QmsGURUUEQF/Ly8rjooou4//77+eEPfzjldg0UFBQUhkKua51Go5EsLhw+fJgDBw4wb948pk2bJjm4USrxsXpuWNdnvbZ397Llq3r2lkO7Kx6NLkLSMV2ODi7NsTAjIYb6+nrKysqIjo4mPj6ehIQEIiKkHVcKXxY0ce9vN+Ho6QT65iJN9dW8V1/Ne1sgOjaRE+Znc94pWZy4JH7U70RnZyd5eXmYzWbmzJkzaXd7P/6qntf++WFICAvnrz2T/715SbCHITuhJCyUl5ezbt06brzxRu6///7jYp4Xeis9GRksLgRq7SBH5kL/cRujtFxxZgyXuFzszfuavCot9fZUWhwJqNSBsWOoZGhFKdWuPvFM8T90vzMXpH/2ouiHuCDxuy31exYR4LKI/fv3c8EFF/C///u/3H777cfFDUdBQUFBTqQ4FzweD2VlZTQ0NLB8+XJiYmJkLYOQQkSYhktPT+CiU/qyBHYWdVHfNZ3m3ng0+pgxHcPdY+X2Cz1kp/UJFhkZGTgcDiwWC01NTVRVVWEwGEhISBi1HbK/vPnZYZ589k3cruEt/+0tjezY0ciOHTswhBuZPWsmZ6yZyXknpqDXDZx3tLa2kp+fT1pamuSg91DhrFXJ5Lz4Q97ZVssXuys5eLASp6Mr4OO47KK1/PiaqdcVoq2tjby8PDIzM0lPTw/qWKqqqli3bh1XXnklDz/88KQVxMZLSIoLcl001Go1Lte3C42AiQsyOBdc7oELwp6eHvLz89Hr9dx8yVy0Wi0f7oUte/0+1ZiQoxWlVLu6gn8E17kg/dxSMxekfs8CedEvKSlh/fr13HHHHfz85z8P+ETJbrdTVVVFWloaRuPIvZ0VFBQUQpXxigtOp5OCggJ6e3vJzc0lLCws6MKCF4fDwb59+/qcq5ctQa/XI4oiXxcfZVteN3Wt0agN8UM/ufcIv7o+HJMxfMCPdTodKSkppKSk4HK5sNlsWCwW8vPzUalUPkeDyWSS7R74zBulvPrGB+Oae/R0tbGvYC/7Cvby5LN6MmbM5KSVM7nwtHTcjjaKiorIzs5m+vTpsowx2BgjdVy7Potr12fhdJ3Ftq8b2LqjiuLSCuzt1ok9uSBw7RXr+N5lcyb2PGOgs8uJKEJUhDydTEJJWKipqeH8889nw4YN/O53vwu4sBDMeV5IigtycYxzweBnS74xIkfmgqffoqy9vZ38/Hzi4+MHWMF0gfz05Ah0DFVxYRIr4GPB/24R/mQuTB7nQqA4cOAA69at49Zbb+Xuu+8OymT25z//OW+//TapqalkZWVxxRVXcMEFFwR8HAoKCgr+MB5xwW63++r1c3NzfblcoSAs2O128vPziY6OZv78+b4sAUEQWLkghpULYgA4UN3Ih7s7qWoKR9QmIKjUhHsOcf+t5mN2+wej0WhITEwkMTERj8dDa2srTU1NlJaW4nQ6MZvNxMfHYzab0WrHv9gTRZH7/7yHzz7bPu7n9sft6uVgRTEHK4rZ+IqKuPgUli3KJD071q/jhipajYqzV0/j7NXTgBPZV97Cu9sOkbevAktjLX7nZvVDENRce8U53HzpbNmOKZWWdgf3vdSNqDWjcTUya1ov5+YamZESPvqThyCUhIUjR45w/vnnc8455/DHP/4xKI6FYM7zjitxIVCuZznCFz2evotJU1MTRUVFvj+W/jc/nSZw9VpyBDp6/FhoKviB390i/CmL8KcVpTRxQUrmQqAmlZWVlaxbt45rr72WX/3qV0GZzLrdbrKyslixYgW7du3i66+/5rXXXuPxxx/nRz/6kaRJpYKCgsJ4kNOhOhZxwWazUVBQQEpKCrNmzZrw4Mbx0NLSwr59+0hJSWHmzJkjjmV2RhSzM6IAqLe28U1JB+tPGn97S5VKhclkwmQyMXv2bDo6OrBYLFRXV1NcXIzJZCI+Pp74+PgxdWNwujzc/vA29u/LG9c4RkMUPVibatn6cS1bP/6cGFMyixdms+60LHIWxE3q8ojhWDQrlkWzYoGl1Fu6eWtbNTv3HORw9UG/OksIKg1XbFhNdryFzz//3CcmxcXFoQlw2HpzWy/3bexFZUhGADzqVMpsUPqeiKfXQkpMByct1LNmceyYPuNQEhYaGho4//zzOfnkk3n66aeDIiwEe54XkuLCRAX9RI6/Takk5BAX3B4PNTU1HDx4kPnz55OYmHjMY7QB/PRkaUUZYu01vQhTPHNhsrailBpcKsW5oArAV6C6upp169Zx6aWX8thjjwWt9k6tVnPHHXfwk5/8hPLycq655hqamppYsGCBIiwoKChMKgaXvw5FbW0tZWVlzJ07l5SUlIAHN47E0aNHKS0tZfbs2aSmpo7ruclmAxec7H8bRkEQiI6OJjo6mqysLLq6urBYLDQ0NHDgwAGioqJ8OQ0RERHHzNE7upx8/54POFxd7vdYRqO1uZ7tn9ez/fMvCIuIZe6cbM46MYuzV01Dp5169ezJ8WHcdvlcbrt8Lq3tXbz4rzwKK9o4XFtHb3f7mI+jUuv42X9dwrqTUxFFkdbWViwWCwcPHqSwsHDcYpI/WFp6+dXLDlSGpGN+JwgCakMCDT0J/PMbeO3LDoxaK0tmCqxdFUtk+LFzlFASFpqamjj//PNZvnw5L7zwQtC6mQR7nheS4oJcHONcCFArXJXEWvH+eDwi1dXVLFu2bNhaGb12kjkXQtWuPgWV7/6IflrqghXoKDVzAQmCxkRPMGtraznvvPM4//zz+f3vfx/0Ca13clhSUkJ5eTnnnXceixcvBvqsrd7fi6KI3W4nMjIyWENVUFBQGJaRnAuiKFJWVsbRo0dZtmwZsbGxeDyekCiDEEWRqqoqDh8+zOLFi4mLiwvaWAYTHh5Oeno66enpvkBIi8UyZCBkg7WH79/zFs2WuoCPs9veQt7er8nb+zW/ezqMExYu5P/+52TU6qk3p+vt7aWkqIDTl0Xx3zesRhAEviywsOXzKvYVV9LWXD/sc9VaA3fffiln5iYDfff/2NhYYmNjmTVrFna7HYvFQmNjIwcOHCAyMtInNERFRcn6d9Jo6+HXr7hQG47dMB0KjS4KO1HsOAhflDvQuBuZNc3B2lVGMpLDQ0pYsNlsXHDBBcyfP5+NGzcG3A0ymGDO844rcUGtgr7apYm98AgyOBdEUSQnJ4ewsOHtFroAbjLK4VyQsuhTkIFJGugo9YbmLSkaD6oJtC7U19dz/vnnc+aZZ/LUU08FXVjw3lRaW1vZsmUL3d3drFu3joSEBGDg+/7NN9/w6quv4nK5mDNnDueeey4zZ84M1tAVFBSmCBMV3O3F5XJRUFBAd3c3q1atCqngRo/HQ3FxMa2traxYsSKkxdv+gZButxubzUZTUxMFBQUcbRbY+HYFXZ0twR4mapWGay5YMCWFhe7ubvbu3UtsbCxz5871zSFOXJLAiUsSgFwqazt5+9Mqvs6vpP5otc81qtWF88DPLuOkpQnDHj8iIoKIiAhfdxFv6GdNTQ0ajcZXPmEymfzaia+39vDQq27UhuHHMhIqtQ6PejplVih9R8TTYyGcI6yen0paWprkcclBS0sLGzZsYMaMGbz66qtBd4EGe553XIkLgUIO54IoMqKwAKAPqLgwhZ0LU74sInjOBU8QBCWPxznu56gnSFxobGzk/PPPZ/Xq1Tz77LNBs8gNRWFhIZ988gnLly9nxYoVQz6mqamJjz76iLKyMt/PzjvvPJ599llSUlICNVQFBYUpiCAIft+fNBoNvb29A37W1dVFXl4eBoOB3Nxc31wwFIQFb0cIj8dDTk4Oen1gWyD7g1qtJiEhgYSEBLZ/08ALz23G2WsP9rCIiIrjDw9cxqz0qGAPRXbsdjt79+4lISGB2bNnD/vdnTk9kjtvOAFuOIGWdgfvbD/Ml3uquOWKZayYP3ZXjE6nIzk5meTkZDweDy0tLVgsFsrKynA4HMTFxflCP8fz3a1r6ubRf4jDdzsZJ4IgoA5LoJcEtlXBx2V95RNLswXOzR26fGKiaGtr48ILLyQpKYk33ngDnU5aXthEEKx5XkiKCxMV9NPU1IRACuIELyblyFwYC3ptYLpfgH+hfl78schPJP5+3UI+syGImQsE4TP3uCWIC2r53QQWi4X169ezePFi/vrXv4aMsCAIAi6Xiy+++IJDhw7xve99b1jV/8wzz2TXrl1YrVaee+45fvvb31JdXU1ERESAR62goKBwLIPnec3NzeTn5zNt2jRmzZqFIAghE9zo7QgRFRXFggULQuaeMF7++VE1T73wlqR7rdzEmlN49sGLSI4PUKhaAOno6GDv3r2+tP+xfndjo3Vcf8FMrr/Av91nlUpFXFwccXFxzJ49m87OTiwWC0eOHKG0tJTo6Ghf+cRQWRxeahu6eOwNAbXB7Nd4RsJbPvHvSvj8gAPtf8onzv1P+cRE0dHRwSWXXEJMTAybNm0KGbEw2PO8kBQXQB5FW61W09vbiyj25RdUVlaiUqXinuA1uRzOBRhYEzMUhoAGOsrhXAicGDI+Qlwc8JNgOhekh0lK/0yktDw1GORVmpubm1m/fj2zZ8/m5ZdfDnrtnRfvNaWyspIPP/yQtLQ0TjnllGFviAaDAZ1OR3R0NFqtFlEUufbaa4mJifHtAiooKCgEi/7iQl1dnS8ccfr06T63AvTNKce6OHO6PPzu1UYiDCLnrzaSmeq/mDqejhChzFOvFfP6pi199togMy01i+ceWocxMnR2iuWitbWV/Px8MjIymDFjRrCHgyAIREVFERUVRWZmJr29vVgsFqxWK1VVVej1ep/QEBMT45sbVNd38dt/qtAYTAEbq0qtw62eTqkVSt75tvvEmcvCWDE/Rrbz2O12LrvsMnQ6HW+99daobvNAEQrzvNCY8U4Q3lq8oqIirFYrOTk5fFDNhIsLcmQuADgcLvQj1D7oA3g9lcO5oGQuBAl/nQt+7K4EukNIn5gxvkmPSqXm9pvOlm0Mra2tbNiwgfT0dF577bWg19556S9W7t69mz179nD99dcze/bI/a5VKhXNzc0899xzpKSksGHDhkAMV0FBQWFUvPO8srIyjhw5wtKlSzGZTJKDG1vaHfzqb514dFnQA0+8LyL2NpEe18HZOZGckB097jHW19dTUlIiqSNEqCCKIvf88Ws+//yLYA8FgOzZC3j6/rPR6yan+2MkmpubKSgoIDs7m+nTpwd7OEOi1+tJTU0lNTUVt9tNc3MzFouFwsJCPB4PcXFx9HiMbPwiMaDCwmC83SeOdBppbm+U7bjd3d1cccUVeDwe3n///ZBxc4bKPG9KiwuiKNLc3Ex4eDirVq1Cr9ejFmCijVwarTyr/s6u3hHFBYOSuSATk3MHYawEs1uER2JZhNRdnfGKGSqVigd+uoGTV2ZKOt9g2tvbueiii4iPj+ef//xnSNXeed/T+vp6tm7dilqtZu3atcTGxg77HO+N6u2338ZisXDzzTczZ84cIPgt3BQUFCY3cjhUATo7O3E4HOTm5hIeHi45X6GippMn31ahNnwrAAiCgGBIpNaeyF+2gXuLleToNk5faiB3YcyIxw/ljhDj5dPdDezJKw72MABYvnwlj//8pCkZ3uhdoM+ZM4dp06YFezhjQq1W+1wLoijS3t5OXnE9/9yTiDaIwoIXj9vBusWNnLNKnrKMnp4evvOd79DV1cXWrVuJigqdrI9QmeeFrLjg702no6ODQ4cOIQgCOTk5qFQq3G43arUIzgnuFiHIs+q3dzuIG/77gFYDgeh+AfJ0iwj0LvaYmXr3pwFIL03oQ+WHa0Vyt4gAiAuCoOK+n2zg1JVZks41mM7OTi699FIiIyN58803J7xX9HjY9UtlfgAAemhJREFUv38/8fHxJCcnc/DgQbZv386aNWtYtGjRiM/z3qiee+45tFotl1xyCcB/rqVTb8dIQUFh8tDd3U1FRQUej4dVq1b5Fdy4fW8z//wqBo1h5M4NaoOZJoeZf+yCv3/eijmsmRMXajh9edyAxa7H46GkpISWlpaQ7wgxFs7MTebM3BvJK23m7c8Okr+/ghbrkYCP46wzT+Pe25YH/LyBoKGhgeLiYhYsWEBi4thaNYYagiDQ0KLiX3sz0Rpigj0cPG4H551Qz7mr5QmSdDgcXHfddVitVj755BOMRqMsx5WDUJrnhay44A8Wi4V9+/YRFxdHV1fXgEAfTQA222QpIQC6unpHf1CA8CvU7z+EbKDj1FcX/Hq6f5kLUj9ziW0ox3g+QVBx3x0XcPoqedoqdnV1cdlll6FWq3n77bdDpvYOwGq1csstt6DX6znvvPOorKyksbGRhx56iIyMDIAR6+p27tzJ7t27OfPMMzn99NMBFGFBQUEhqLS0tJCfn09sbCwtLS0DshfGKyy8/EEDX9dMRzPO/t4afQytnhje2wdvfdOJUdtEzmyB05dHcaC0aFJ2hBiNpXNNLJ1rAlZQdaSTzR9XsTuvgsaj1X5vZIyIIHDlJefxw6vmTdw5xsGOghaWzokiXKbws7q6OsrLy1m0aBFm88QFH040JQc7+NMHBjT64C+6PW4n5y6sZ+0aeYQFp9PJDTfcQG1tLZ9++umIboBAE2rzvCklLoiiSE1NDRUVFSxYsACNRkNpaSlutxtBEFCpVGgCMCeWK3PB3u2Q5ThyIIdzQfC04fG4AtZNQ6EPf2/4/ohlUt0qUstwxnI+QVBx7+3rOWNNtqRzDKa7u5srr7wSp9PJhx9+GHI7VOHh4Zx55pk88cQT7NixA8AnvHZ1dREeHj7kDcdrlXvhhRcAuOiii9BqtUqQo4KCgixILX87cuQIJSUlzJo1i5iYGL755hucTqdPVBjrcUVR5LG/N3C0KxOVnxZ7jS4SO5FsK4dPirvROKexfLaKOU6BKaQtDCAzJZKf/qf9oaWlhzc/qebf31RyuPogHrd881eVSsOVF5/CtevTRg06n2hEUeThjQ00ObL4x84eDGIT89NcnL8mlgSTtA+6pqaGqqoqlixZElIL1vFSWNnOM1vC0ejHn0siNx63k7PnH+X8E+URFlwuF7fccgsVFRVs27Yt5ASgUJvnCaIcBW8TgNPpHFd3Aa8FzWKxsGTJEoxGI3a7nd27d6NSqXy9eZ/9NJmGlolXGPI/etDvnfpH/uciTswZeWf19ufCJry1JoDtyD5qit7y6xi3Xn0yF5yzjC1fdVJwSEWnMxaVJvh33ZIdf6bHbpH8/JRZZ5E4Y7WMI5KXDtshKvb8TfLzp89dR3zaMknPLdv1Al1t47dOqjR6Fp/xv+N+Xm9XC8X//sOwvxcEFXf/eB1nnzxyuM2Yz9fby3e+8x1sNhsfffQRMTExshx3onjllVf4wx/+wDfffEN4eDinnHIK11xzDRs2bCA8/Nt2Td4bS319PTNnzmT69Ol88sknpKamBn1yp6CgMDVwuVwD2kiOhiiKVFRUDMgw6OnpYdeuXXg8HuLj40lMTMRkMo06Me7qcXH/X5vp1WT4+SpGxuN2onU3MD/Nwbo1sSTGhU653ETR1e3ine21bPuqkoqKcpyOLsnH0mgN3Hb9mcye5sBqtaLX60lISPB1JQjkvcjtFrn/r420i8dmNHk8blTOBrISe1i7Mors9NE3GbyZHLW1tb51y2Sl4nAnT7wThkYX/PwBj9vJmfOOsOGUBFmO53a7ue2229izZw/btm0jOTlZluNOFKEwzwvZLeTxvCiHw0FBQQFOp5Pc3FwMBgNutxudTsdJJ51Ea2srTU1NFBYW0tMVCcRM2Li9qDQ63M5uv47R1TO68isIgekIJEdZhMvlJjpCwxVnxnAF0NzaymvvH6S2PQm7JxGVNkhpq37fm0J7oeW3cyEI3SImwrkgCCru+q/zZRMWHA4H119/PY2NjXzyySchLywAXH311Vx99dXs37+f3/72t/zjH/9Ar9ezfv16oO81Ab4gyldffZXu7m7WrVvnSzlXhAUFBYVA43K52L9/P52dneTm5hIREeGrCT7xxBNpa2ujqamJ0tJSXC4XZrOZhIQEzGbzMfbeuqZuHvuHE5UhY8LHrVJrcauns78B9v3TjeBsJDupm/NXG5mREj76ASYh4WEarlw7gyvXzqDDvoaXN+1lX4WdQzV1dNtbxnwcvSGKR+66jBUL+oIwvV0Jmpqa2LdvHwDx8fEkJCRgMpkmtFyv1+Hmnhds9GqGDn9WqdSgT+FgKzy1Fdw9FqYZ2zllsYHVJxwrgniFsvr6epYvXx5yjsfxkp0WyS1ntfPJniYO2yJAlyDLumG8eNxOzpgrn7Dg8Xj47//+b3bt2jUphAUIjXleyIoLY6Wzs5O8vDyioqJYunSpL7ixf6BPXFwccXFxzJkzh702Da0BiDJQqXS4kS4uqFUqEsyjW4sEgfF23pOEHGURTte3C7/W1lb2FxRwdk4KM2f2BdfsLGzki/0ujnbEoVIHUt2f2oslf7tF+BXoKFHYkNwtYhi3kCCo+N8fnsfaU+dIOu5gnE4nN998M9XV1Xz22WeYTMFPRB4PJ5xwAi+//DLPPfccFRUVREZG4na72bZtG3/7299Yu3YtJ510Ei+++CLR0dFcdtllQN/rDpXWmgoKCpObsV7nu7u7ycvLQ6vVkpubi0ajOWaeFxsbS2xsLLNmzaK9vZ2mpiYqKyspKioaIDTsr7Tz10/C0RgC37lBUKlBP42KFvj9eyL01nPPtWHExwbfwTkRdHZ2kp+Xx6nLzXz/mjUIgsDuIhvvfVZJQVEFbc0Nwz43IiqOPzxwGbPSv90JH9yVwLtxeODAAXp7ezGbzb7fy3mfsne7uOcvbbh1GWN+jtoQT2NvPG/shle/aCNWb2PlXDVnrzSh06ooLS3FZrOxYsWKAbvJk5nFs6NZPLtv3VLX1MKHX7VRWquhV5WIOgAuZY/bxWlzjnDhqfIJC3feeSfbtm1j27ZtIdsWdDiCOc+b1OKC1WqloKCAtLQ0Zs7sKx8YKdBHEAQiwgITRKZSS39rNRoNv7pzA4vnjd4POVCbiLI4F/7z2Xhb7cycOZO0tDTf79ecEMWaE+Ddr9V8UuD36cbM1JYWAH+dC/4EOkrtECLRueAZ4nyCIPCz29Zy3mlzpY1lEC6Xi+9///uUlJSEZO3deAgLC+OEE07w/bu0tJTXXnuNf/7zn2RmZlJeXs4ZZ5xBTk4OgCIsKCgoBJTW1lby8vJISEhg7ty5AwK6h5vnGY1GjEYjM2fOxG6309jYSHV1Na9+cIhDPWvQ6IMfuOtxdbNhpWvKCgutra3k5+eTlpZGZmam73PKXWgmd6EZyKW8poM3Pz7I1/nlNDUe9tlwY80pPPvgRSTHD/85DRaU7HY7TU1NHD58mJKSEmJjY31Cgz8By81tvdy/sRvBIH1hqdEb6cDIJ6WwdX83GmcdyZE9XLt+8ZQRFgaTmhDGzRv63nd7dy9bd9Wzp1ykzWmekNIJj8fFKbNqufg0ebpseDwe7rrrLrZs2cK2bdt8oYiTkWDM80JWXBhN0a6pqaG8vJz58+eTnJyM2+32ta4cqdZOH6C5sUotrb99WFgYf3rwSrIzxrZgCZi4IINzwe0WOXLkCGVlZcyfP5+kpKQhH6cSAhwDMsVt3v7GqvgV6Cgxd0RqBw/R4xp0IIHzT8kgLqyViooK4uPjMRqNkp0RbrebH/3oR+zdu5ft27dP2nZRQ6FWq7n99tu58soreeqpp3j++ecB2L17N3feeScrV67k3HPPndR1oQoKCpOHo0ePUlxcTHZ2NmlpfWF+XmFhLMGNgiAQGRlJZGQkW/LCqXFmoNYGv9ONq7eFW8/t5YTsyStMj0RTUxNFRUVkZ2ePuNs7Kz2K/7l5MbCYeks3b356iANVFn7141UYI8c+h+7/OWdmZtLd3Y3FYsFisVBeXk5kZKSvfCIyMnLM9/+jlm4efs2N2jBtzGMZDbU2DFGbzVFPNo+86ULtbGBmUi/nrYomMzVIpcETTESYhotPS+Di0/rmozsK6vhiXy/17dGoDf4HLno8LqZrviBJ7+LAgVZfHofUQEKPx8O9997Lpk2b2L59O1lZ8rQrDwUCNc8L2UBHt9uNy+U65ucej4fS0lIaGxtZsmQJMTExeDwe3G73mNoPvfa5ll0HJl5hOLD7Reyth8f1nDhTDH/97dWYYsauZP78xTB6nRO/OG63HqRy79/9OsZZa2Zy0pIYFi1aNKKN/MO9GrbslSbOSKF05zN0dzRKfn7KrLNJnLFKxhHJS2tjKVUFb0h+/sxl1xBtlnZxLfz89zh72sf9vGmJRu658xq27GqnxhaBSh8/phyG/uGVgiDwk++dy7rT52Cz2bBYLFitVgDfjobJZEKjGZvG6vF4uP32230Wuf6um6nK5s2b+e1vf8vu3bsB+Oyzzzj11FODOygFBYUpgcfjwel0HvNzURSprKykpqbG15rPWwbh7fw1VpwuD79+sYm2IUL4goGnp4G7rtIybYRd+cmMt6Xi/PnzQ0J8dzqdWK1WmpqasNls6HQ6n9BgNBqH/S5V1tn5/WZVwMpnRFHE02shNbaD05eEsWK+9E2QyURFTSfv7rBR2RiGOjx13N3kPB43J2Yd5tLTzQPmeR6Px1cmExcXN+bdeFEUefDBB/nrX//Ktm3bmDcvNFqfTiQTMc8LWefCUDidTgoKCujt7WXVqlW+4Mb+dXejYQiQc0GtHt+JsjNTeObhy9Fpx/eRqAJWFuG/2t/a1sby5WcSFTWyJUod8AyYqX0B9z/QUfofjdSyCI1GTWK0naVJxVx35gJETTtbd9sprtXQ7Ykd1hnkc0oIArfffDYXnr0AgMTERBITE/F4PLS1tWGxWKioqKCnp2eAfdJgGDrrw+Px8POf/5xPPvnkuBEWAC6++GIuvvhiSktLeeaZZxRhQUFBYUJxu93s37+f9vb2AcGN45nneWlpd/Crv3Xi0YWGsKB11vDALbFEhE2qqfeY8HY+OHz4cEi1VNRqtSQnJ/sczs3NzVgslgGBkN4FqDcQcn9FO89+GIbGEDiXniAIqA0J1Hcn8MpO2LitFXOYjVXztJy7emo6XADijS6WTKvispNnEhHdwQc7W9l/SEWXmIBaO7IA5/G4WZ15mCvO6hOxvF0BRVGkvb0di8XCoUOHKCoqIjY21ic2DFeKIooiv/nNb3j++ef57LPPjgthASZmnheyV7jBNxC73c7evXuJiIggNzd3yODGsWDQB8aoMZ4F2Smr5vPrO9dKUikDFcYqNb2/P3Fx5lGFBQjca/IxxdVhf81J/gU6SsxcED3s37+fBQsW+HY/rj+vT1Do7unlkz029pSLNHcbB3QZ8bhdgMDtN53NxeeecMxhVSrVMXWaFouFhoYGDhw44LNPxsfHExUVhSAIeDwefvnLX/LOO++wfft2ZsyYIe01TWLmzp3Lk08+CaC0olRQUJgQenp6yMvLQ61Ws2rVKrRarWRh4UB1B398R43aMHp2VSCI0xzklzcloVZPvWunKIqUlZVhsVhYsWJFyHY+6B8IOXfuXF+HkfLycnp7e4mLi+NoWzTvF2ag0Qf3NWj0MbS4o6lpOBTUcUwk3jyV/uUz16ztm+85nG4+/eYwu0pcWLtNaPQxA54retzkZtRw1dnHllcPzl3pXyZTUVFBeHi473vgLZMVRZEnn3ySP/7xj3z88ccDMgqOF+Sc54WsuNAfm81GQUEBqampZGdnAyMHN45EutmByt2FWzWxlqOxORcErrlkDbd+R7qlXi2IBGLnXQ7ngsjYVAO1KrCVOlPvVj8IvwMdpV8mRI+0czscvQOEhf6EGdSsP9HI+hP7LoC7i5v4Yr+TupYIwMOPbjyLS9aO7cYQERFBREQEGRkZOBx9fbQtFgs1NTX85je/ISEhAafTye7du/n88899wbHHM4qwoKCgIAf9ryVtbW3k5eVhNpuZN2+eL7hRirDgcHp4/v0eVLrgp7uLHjdzE6q57eLQb2EnBbfbTWFhIV1dXaxYscKv8MRAIggCMTExxMTEkJ2djd1u573Pj7CjOguNLvivQfS4WZpaww3rpub3ZihhoT86rYq1q82sXd03z8s7UM9ne7v+0+bSzMr0Wq4+d+jctsGEhYWRlpZGWloaTqfTVz6Rn5/Pn/70J9RqNREREXz44Yd89NFHLFu2TO6XO+mY8q0oDx8+zIEDB5g7dy4pKSkDghvHEugzmHnpKn5/m45DR1vYsquLigYDbrVJlp35/gij1A2pVGr+5wf+J9hPJueCVxAajcAL+1N7sTQZnQtRURFjqtcUBIHcBZHk9lU/0N6ZQnRkhqRz6nQ6pk2bxrRp0/B4PLS3t/Pwww9TWlqKXq/nrrvu4oILLuD8888nPt7/ECIFBQUFBWhoaPB1kEpPTx8Q3DheYQH6FiaP/zCeusZm3v2yjQNH9Li1yX7dy6TgdvVw5rwGLjx1ai4QvaXKoiiyYsWKSdtNSBAEPtnTxZeH56PWBi7vazg8HherM2uH3JWfCrS0tJCfn8+sWbNITR1LVzyBZXOMLJvTV6bSYbcTFSEtz0Or1ZKUlERSUpIv8+XRRx/l/fffR6vV8sADD3DBBRewbt06UlJSJJ1DIYTFBVEUKSkpob6+nuXLlxMTEyNZxR6KGdMM/ODivvrqI01tfLDLTukRPS7BJMsuvWoE54JOp+f/7r2URXP9T6ANVD6BPN0ixraLHfiyCH+fH+rihJ/OhXEG7PRHauZCeNjQ2QejER0pz+RGEAQqKytpaGhg7969qFQq3nnnHZ5++mnKysp49NFHZTmPgoKCwvGKN7ixurqaRYsWER8fP+bOX2MhNTGc2y7uq69uam7n3R0tFB/W4lQnjThHkwNXbzvXntpB7sKECT3PWKmo6WRmWoRszjNvCUt4eDgLFy705RVMRv6+pZHdNdP9aiEvFx63k9PnHuGiU4MfhjkRjFdYGIqoCPnmeUePHvW1FU9KSuLdd9/llVde4euvv+Yvf/mLLOc5Hgn+X9IwdHR00NrayqpVqwgLC5NVWBhMSoKeWy7o6zVsbe3gvZ12ig5r6CVu3MmlXoZ7XkR4OL/537XMnyXPhSNg4oIMK363e2w76IG/R4W6OOAffreilHjD9SdIUqsJ3kRFFEX+8Ic/8MQTT/DRRx+xePFiAE444QTuvvtuPBJLPRQUFBQUvqW7u5uGhgZWrlxJZGTkhM7zEkx6brqgbye4td3Ouzua2XdIQ4+QiFqjl/Vczq5Gbji1mSVz5GthKBVRFHnwpQaszixcva3Eh9s46QQdpy41Sc5/6OzsJD8/n7i4OObMmeO3CBRMntlcT0nTjJB4DW5XL+cvamDtmtAQpORGDmFBLkRR5NVXX+V//ud/eOuttzjllFMAmD17Nj/96U+VeZ6fhKy4YDQaWbVqlc8eN1E3nMGYY3Tc8J/guLYOOx/s6qSgSk2XxzRsQv1QDBXoOC3JzN3fz6W9tZ7t2w9hNptJSEjAbDZLtpMFKp9ADueCa4x/rFMw7yio+F0WIVVc8OPiHCxxQRRFnn32WR577DE+/PBDli9ffsxjQmESoqCgoDDZiYiIYM2aNQC+1uOBmOfFROu49rwkrgXs3b28/+VR9lYI2D2JoybUj0pPLbecbqPHbuPzzyswmUwkJiYSHx+PThdYy32vw829f7HRo+5rJd0XEhjDO/mweXcHMToruXNUnJ1rQq8b2z23tbWV/Px8pk+fTlZW1qTO4Pndq/Uc7sxC5qpoSbidPVyy0sJpy6dmyWWoCQv/+te/uOOOO/jXv/7FGWecccxjlHmef4SsuAD4XXfnL8YoLVedFctVQFdPL69vrWJ/jQ6XJgXVKEq3etCCbOnCLJ647yJfKqndbqepqYnq6mqKi4sxmUy+NirjuQEFapdfjlq6sZdFBDrQcfLeHMeEn4GOUt07kjtFADpt4MUFURR58cUXeeCBB3j//ffJzc0N+BgUFBQUjhe8wre3FCIY87yIMA2Xn5nI5WdCr8PFPz8q4ptycOky0OjG1zEgQqzi/tsS0GnjAHzdiI4cOUJpaSkxMTG+ed5wbY/loqXdwf0b7aDPGPL3Gl0UnUTxSRlsLewmQtXIkiyR89eYhrWdNzU1UVRUNGwI32TjjGURfLznIIdtkQj6hKAJJW6nnatObGXNorignH+iCSVhAeDtt9/mhz/8Ia+99hrnnntusIczJQlZceHZZ5/l/fffZ8OGDaxdu5aYmJigjUUURWprKplhrOei6xYTFu7k42+a2V0m0tobi0pzrNItqL69OF9w9nJ+dutp3/5OEIiMjCQyMpLMzEy6urpoamri6NGjlJWVjesGpAmQuOYR5SiLGKNzYbJlLoQ4fpdFSHStSM1bANAGWFwQRZGXX36Zu+66i3fffZcTTzwxoOdXUFBQON7YvHkzzz77rC9ALZhBuaIocvTIYVIiajj3uoUYY+DTrw/zZbGL5h4zGn30iM9NjzrIT65KHrBA7d+NqKenh6amJl/rw+joaN88Lzw8XNbXUl3fxeP/FFEbxhZIp9aG0UMGX1XDlwcd6NwNLEh3se7EWOJj+zbS6urqKC8vZ/78+WMKW54MLJ4dzeLZfZ/roSM2PviqjYp6A25touRNlfHicnRw4xkdLJsbG5DzBZpQExbee+89brnlFl5++WXWr18f7OFMWUJWXDjjjDOor6/nySef5Ic//CGnnXYaF154Ieeffz4mkylgCqO3zY7dbicnJ8d3E1i3xsi6NeB0u9m2t4GdxR5sXUZU2ggAVCotgqDihzecwRXrFo94jvDwcDIyMnw3IIvFQmNjI+Xl5URFRZGQkEBiYuKQN6BAucdl6RYx1rKIgLuRpri64G+go8S/NX8yF3TawF2aRFHk9ddf56c//SmbN2/m1FNPDdi5+2O326mqqiItLQ2j0RiUMSgoKCgEihUrVnDgwAE2btzIHXfcwYknnsiGDRu44IILSExMDNg8z+PxUFpais1mY/ny5URFRQFw7moz567uy4v6Ir+WL/Y5aOqKQ6OP+fa5bicrZ9Ryzbkj5ysYDAZfOzyHw+ETGiorK4mIiPDN8yIi/AtdzC9r44WPw9EYpN1DVGodLnUaBfWQ97oLtbORaVEWZsTWc+bJS4iNnZqL4Bkp4fzw0r45trW1g/d3tFBYMzGZHF5cvW18f203C2fGTMjxx8vfP2ygpEZg+SyBc1eZCDf4Nw8LNWFh69at3HjjjfzlL3/h4osvDsoYjpd5niD6u605wYiiyIEDB9i0aRObNm2isLCQk08+mQ0bNrB+/XoSEibOytTb20t+fj4ajYZFixaNWhrgdot8ub+TLwpdHDnSyNVn6Tlx+QzJ53c4HFgsFpqamrDZbL4bUEJCApGRkQiCwNMf6Cirm/iFmNvtYN8nj/h1jBPmpvCnB78z6uNKDqt49sOJtQz258Duv2JvrZX8/BmzczGmnjpqqUywaKz+iiMHPpL8/KXn3CfpeY7uNoq+eELScy88ZzF3fu8sSc8dL5s3b+b73/8+b7zxBuedd15AzjkUP/zhD3n77bdJTU0lKyuLK664ggsuuCBo41FQUFAIBKIocujQITZt2sSbb77J119/TW5uLhs2bGDDhg2kpKRM2DzP6XSyb98+XC4XixcvHtUtKooiu4ta+XRvDw3tEVy4yskZK6Tb2Z1OJ1arlaamJqxWKwaDwTfPi46OHtfr/ni3lbf3mFFr5XVCQN9mgdjbxIx4O2tzI5k7I0r2c4QiXT0utuxsZk+5SLsrAY0uQpbjOrubOSltNwuz44iPj8dsNge148bG9xvYW5vu65bndvViEBuZn+bi/DWxJJjGN78NNWFh27ZtXHHFFfz5z3/m2muvDVoJzPEyzwt5caE/oihy8OBBNm3axObNm9m7dy+rV6/2Kd3Tpk2T7QvT0dFBQUEBJpOJuXPnBj3cY/ANSK/Xk5iYyMcHZnPg6MQvxD0eFwUfP+TXMebPmsYzj1w96uPK6lQ8/UEgxYUXsbcelvz8H91wGhvOWcqnezv4ukzE2mVErZXnBiQHjYe+5Ej5J5KfL1Vc6O1qpvjff5T03MvXLedH3z1t9Af6ybvvvsuNN97Iq6++yoYNGyb8fMPhdrt58skn+fe//82uXbtobGwE4PHHH+dHP/rRpO0frqCgoDAeRFGkrq6OzZs3s3nzZr788kuWLVvGhRdeyIYNG0hPT5dtntfV1UVBQUHItFN0u90D5nkajcYnNMTExIz4ul/7qJGdB1MnvMWmb6w9FlJi2jljWRgr5hkndbDjWHG6PGzf28yXRS6a7LFoDdJcHK4eGz+91ENsuNO3gdjT0+PLXgt0+Odf362n4MiMYbvCeTxuVM5GMhO6OXdlJLMzRhaWQk1Y+Pe//82ll17KE088wY033hi8bI3jaJ43qcSF/oiiyOHDh31K91dffcWKFSt8SndaWprkL5DVaqWwsJD09HRmzJgRchdNt9uNzWajqamJ9/encrRz4tsdiaKH/I9+7dcx5sxM4vnHrh31cRVHVTz1XuDEhfKvX6SzxQ9x4buncfm65YiiSFlZGRaLBVfYfHYfUHG0LRKVNrjWp4aqHRyt+FTy86WKCz2dVkq+/JOk51578Uq+d/XJkp47VrZs2cJ1113Hxo0bufTSSyf0XGNBFEUEQaC8vJxrrrmGpqYmnnvuOc4+++xgD01BQUEh4IiiSENDA2+++SabNm3iiy++YOHChWzYsIELL7yQmTNnSp6ftba2UlBQQHJyMrNmzQq5eZ7H46G5udlXPiEIAvHx8SQkJGAymQZseP3xjXoqWmbIUr4qBVdvCwkRLZx8gpaTl0hvcTkZ8G5y1tbWooqcw1dlUNcShdowtvaR7h4Lv7hKxbT4gVlt3pB3i8VCe3s7RqPRJzTIncnRn+ffaqCwMWNc3x13j4Xk6HZOXWxg9aKBopdXWJg9ezYpKWPL/JhIvvrqKy666CIeffRRbrvttqD/nR8v87yQzVwYDUEQSE9P5yc/+Ql33HEHR48e9Snd99xzD4sWLfIp3ZmZmWP+QtXW1lJRUcHcuXNJTk6e4FchDbVa7VOzC5q0HK2c+HP6e9MSBBUXnr10TI8NVEjlt/h7sRHweDwUFxfT3t5OTk4OBoOB01f0/bbooJVP9vZQbQnHo4kJ+ATAn+wDf1D78UHq9ROr4H766adcf/31vPDCC1xyySUTeq6x4r1GlZSUUF5eznnnncfixYuBb29ICgoKCscLgiCQnJzMD37wA2677TasVitvvfUWmzZt4uGHH2b27NlccMEFXHjhhcydO3fM18iGhgZKSkpCuuuBSqXCbDZjNpuZM2cOra2tNDU1UVJSgtvtJj4+nri4eJ77wE2zeybBvD1o9LE0u2LZ/I2DHkcDa1ebgzeYCUQURcrLy2lsbGTFihVERkZyyn/meRU1TXywu4OqxjBEbaKvvKA/np4G7rtW7wvJ7E9ERAQzZsxgxowZvuw1i8VCRUUFERERPmEpKipKtrnAM5vrKbGMX5RSG+JpcsTzxtfw6r/biNXbWDlHzYpZAiUl+0NGWNizZw+XXHIJv/71r0NCWIDjZ543acWF/giCQEpKCj/60Y/4r//6L5qamnw3oF/96lfMnTvXJzTMnj17yA9PFEUqKio4evQoS5cuDWp3ivEQwNw7BEEtqb2gWq3hwZ9fOOb8CXWAW1H6jehh//79dHd3s3z5cvT6gTeOBVnhLMjqU54PN7byu7djCWiIpF/mJOnjdLtCsxXlF198wXe+8x3+9Kc/ceWVV4bExdx7U2ltbWXLli10d3ezbt06EhL6dkO8Y/Q+zmq1Ul1dTUlJCatXr2bmzJnBHL6CgoLChOLdub/lllu4+eabaWlp4Z133mHz5s08/vjjzJgxgwsuuICLLrqIBQsWDFnKKooi1dXVHDp0iIULFwa1O8V4UKlUmEwmTCYTs2fPpr29ndq6Bh55zYEQOTvYwwPA7ezmwhVWzsyZusJCSUkJLS0tLF++/Bg3QXZ6JP+d3te6tNHWxntftlB8WIdTnYhKrYOeo/z6hnBiokcvdzAYDEyfPp3p06fjdDp9TuU9e/ag1WqJj48nPj6e2NhYySXbf/pXPQdsY994HQ6N3kgHRl9LU617LnU9AusiezEZg5dDVlBQwIYNG/jlL3/Jj3/8Y2WeF2CmhLjQH0EQSExM5NZbb+V73/sezc3NvP3222zatIlHH32UmTNn+ix18+bNQ6VS0d7ezkcffURycvKAjhCTAV0gxQWVGtE9vgWjTqfnyQcuZ8GspDE/R6UOsLjg50Wnrq6OjMQUli9fPmrNVFqiAUHwc70/TkQ/u0VIPq8fjgnDBDkXvvzySy6//HL+7//+j+uuuy4kbjj9KSws5JNPPmH58uWsWLHimN8LgsDWrVu5/fbbqaioQK/X09PTw+mnn85DDz1ETk7OlFK/FRQUFAYjCAImk4kbbriBG264gba2Nt577z02b97MGWecQXJysk9oWLJkCSqVip6eHt577z0SEhJYsWKFryPEZEMQBJyigec/S0CIDP7uMPS1U/zu6R0snyc92DKU8Xg8FBUV0dnZyfLly0cN/UyMM3DTBX3O5w57N1t3H+Xc3Fgiw8c/r9FqtSQlJZGUlOQrlbFYLBQVFeHxeHxCQ1xcHBrN2BYEfWU0/gsLg1Frw/Bos9hbB9+85kLlbCQ7qYfzVkWTmRq4HLKioiLWr1/PT3/6U37605+G3HzoeJjnTTlxoT+CIBAXF8eNN97Id7/7Xdra2nj33XfZtGkTTzzxBKmpqZx66qls3bqV9PR03n333UkXqBFQ54JKA27HmB8fER7O87+5munJMeM6jza42ZnjRgSWLl065gt7oBHH2AJ0SPy4ePknLsj/Xu7evZtLL72URx55hJtvvjmkLsyCIOByufjiiy84dOgQ3/ve90hLSwP6VGzvYzZt2sS1115LZGQkP/nJT1i8eDHl5eU899xz3HHHHXzwwQdTur2RgoKCwmCMRiNXX301V199NZ2dnXzwwQds3rzZ17r8rLPO4osvvkCn07F9+3bCwsJGP2iIUlVn5/82C6gNISIs9DRz+wYX2ekxwR7KhOB2u9m/fz+9vb0sX7583EGLURFaLj19bHkMozG4VKa9vZ2mpiYOHjxIUVERJpPJJzYMdtB6eeIfRznUPvFlNCqVBvQpVLTAE++LeHotpMZ2cPqSMFbMn7gA0NLSUtatW8d//dd/8Ytf/EKZ5wWJ0FwNTQCCIBATE8O1117LtddeS0dHB08//TT3338/DocDQRC49957ueiii1i+fHnQu0OMFZ0mcFvgKpWKsfoWTLFGXnz8Gkwx43eBqAP81gt+liikpqaGrLDQh/TviD/vjD+ihtkk765SXl4eF198MQ888AA/+MEPQuqG41WgKysr2bJlC2lpaZxyyim+yYF3rHV1dfzv//4vPT09vP7666xfv953DLPZzI9//GN+85vf8NBD/nV1UVBQUJisREZGcvnll3P55ZfT1dXFyy+/zP/8z/9gt9uJi4vj7rvvZsOGDaxevTrE79vHsre0lb9+EonGEB3soQDg6Wnk7u9oSTZHBnsoE4LL5aKgoABRFFm2bFlIbT4KgoDRaMRoNJKdnY3dbsdisXD06FHKysowGo2+nAavG/t3rx7lcGfgrfWCIKA2JFDfncArO2Hjtlbiwpq543ITsWMoExkr5eXlrFu3jhtvvJH7779fmecFkcmxgp4Adu7cyUMPPcRdd91Fa2srv/vd77Barb5goJ/97Gd8+eWXuMdZBhBoApu5MLaTpU5L4B9P3SBJWAAIeDcoPy9AwUpoHiv+BTr641yQ9rdzwdnLWbEoQ/J5B7N//34uuOAC7rrrLv77v/87JG840Oes2Lt3L+eeey6zZ/fV0Xr+I9DY7Xaef/55Dh48yI9//GPfDcf7+6uuuopp06ZRVVU14OcKCgoKxyv79+/nnnvu4frrr6e1tZW//OUv9Pb2cs0115Cdnc2PfvQjPvvsM5xOZ7CHOiof7rTy4mexaPShISwIvXU8eKOeZHPgOnsFEqfTSV5eHoIgsHTp0pASFoYiIiKCjIwMcnJyOOmkk0hOTqa5uZmdO3eyc+dO7n+uMijCwlBo9DFEh3lkFRaqqqpYt24dV111FQ8//LAyzwsyk0u2lZEvv/ySP//5z1x99dUAXHLJJVxyySV0d3fz8ccfs3nzZq644gr0ej3r16/nwgsvZM2aNSF3gZmV7MCosdHSE4NKM7FWv+F64PZn7qw0nn7wMtR+2A8C3y0iwAQ6r9KfgIcAl0WsO2sZP7v1NMnnHExJSQnr1q3jjjvu4Gc/+1lI3XDgW7W6vr6erVu3olarWbt2LbGxff2zvQ6qyspK3njjDebNm8eVV14J9N1YvL8PCwujtbWVqqoquru7J7XtV0FBQUEOdu/+//buO6zJc/0D+PdN2LJHGO4toiDOuhcOZkKrVuuutdpqax1F63FVrait1XqqPa0d9tS2tpLgAlERUHArigLiQAEFISB7Zj2/P/yRI1VbRkgC3p/r6tVLkjd5QkjuO9887/NcxOrVq/HBBx8AAHx9feHr6wu5XI6YmBiEhITgnXfegVwuh5+fH0QiEUaMGPHSKeW6IleocClFDqaSA9D9e7uxIg0b5tnB2Ejb3wRpR1VVFeLj42FqaoqePXuCr/VvvBrG2NgYrVq1QqtWraBQKPDZ3kwUwFXXw1JrZZaKZVNdNHZ76enp8PX1hUgkwhdffKF3M89fxT7vlQ0X1q9f/8Kfm5qaIiAgAAEBAZDJZIiOjkZISAhmzZoFxpi6AA0fPrzO5141hpYOPKx/2wpypRKnr2bjbLIKeWVW4BlqfvGUF22t86zB/boheLlfgz/Aaf99Qb8+cGqarrairOtpET6jPbF8/iiN3X9KSgp8fX0xf/58rFq1Su+ChRs3bsDBwQHOzs5ITU1FTEwMBg8eDA8PDwD/S7uVSiUuXryI27dvq8+/A54WpOrCc/78echkMjg7O8PU1LRGQSKEkFfRokWLXvhzQ0NDjBkzBmPGjMGuXbsQFxeHkJAQfPDBBygtLYWPjw9EIhFGjx6tFw28oQEPa952BmMMZ649wunrVcgps4WBsY3Wx2LDT8XqOU7g8/WrnmpKZWUlrl69CktLS7i5uTXpOsoYw5Z9uchX6U+w4GJ6Dx9P01ywkJmZCV9fX4wbNw47d+7Uu+frVe3zXtlwoTaMjIwwbtw4jBs3Dt988w3OnDmDAwcO4L333lNvISIUCjFq1Kh/XD22sRnyefDqbwmv/k//WM8m5OD0DQWySyzBM9TM+et/d1pEwNi+GvvG2UDLIXFDP3Pq2WfW57AGzFxoyAfyupwWMX6UJz5536ve9/VX9+7dg5+fH2bOnIn169frXbCQl5eHuXPnwtjYGD4+PkhNTUVOTg42btyIdu3aAfhf0WGMISYmBhYWFhgyZAhMTEzUl1UXlmvXrkGhUGD06NEAGva8EULIq8LAwAAjRozAiBEj8NVXX+H8+fMQi8UICgpCfn4+xo0bB5FIhLFjx6JFC+2teP8iHMdheG9bDO/9tD5cTspC5NUKZBVZgW/SuFtAMsbQ1uI+lr7l3Kj3U1uMMRw//wRDPa3RwlQzH2XKy8tx9epV2NnZwdXVtUnXUcYYNu7NRp68o66HouZskorl0zUXLGRnZ8PHxwfDhg3DN998o3cftF/lPo/ChVoyMDDAqFGjMGrUKHz99dc4e/YsQkJCsGTJEhQVFWH8+PEQiUQYM2aMzrey5DgOQ3pZYEivp3+4V1KkiIqXIbPQApxh/VcYffFpERz8R7ti9hs9NZaiaXtBx4bOXNDfl/f/09WaC6rahQvjRvTCvxZoLlh48OAB/Pz8MHHiRGzevFnvCg4AmJmZwcvLCzt27EBcXBwAwM7ODhUVFSgvL4eZmZl63Hw+HzExMXBxcVGn3cD/ilJmZiZOnz4NKysr9O3bF4B+Fx1CCNFHfD4fQ4YMwZAhQ7Bt2zZcvnwZYrEY69atw7vvvosxY8ZAKBTC29sblpa6XfuA4zj072GN/j2sAQAJd7Jx4lIZ0vMtwDfRzO4E1ZhKiVYm1zDdyx5KpVLnpwnIFSqs+T4X5bz2OHq9CiYsBz3bKuA/1Aa2VvU7paW0tBRXr16Fs7MzOnfu3KRrKGMM63/MRr5Sf4IFJ5NUrJihuWBKKpXC19cX/fv3x/fff6/zv8kXeZX7PI415GtNApVKhYsXLyIkJAQHDx5ETk4Oxo4dC5FIhHHjxundXso375Xj5JVKpD9pARjWbUrd7Ys/oawwQ/1vjuPh/RnD0KuLBaRSKZRKpXp1Wjs7u3q/2BkDPtqjvYDm3tVfUZx3r97HL3p7FCb49qn99b8zhTYjifSkI3jyKL5ex/IMjNFr9Ip6HVuQnYwHCQf+9jpjhrljzaJx9br9F8nIyMD48ePh7e2NXbt26WWw8Fe//vordu7cicuXL8PMzAzDhw/H9OnT4e/vjxYtWiA5ORk9evTAoEGD1AXqWX/++SfmzZuH0aNH45tvvoGDg4MOHgUhhDRPKpUKCQkJCAkJgUQiwYMHD+Dl5YWAgAD4+vrC2tparxr9u+mlCDtfjPvSFoCxY4MWnVYpZejfJhUDOldBKpVCJpPB3t4eAoEA9vb2Wt9xo7JKiVXfF0Bu2OYFY1WAr8hGt5ZV8BtshVaOtesji4qKcO3aNbRp0wbt27fXq+eyPtb98BgFehQsCIxS8a9ZmgsW8vLy4Ovri27duuG3337Tu7XwXuRV6/No5kID8Xg8DBw4EAMHDsTnn3+O+Ph4iMVifPbZZ5g3bx68vLwgEong4+MDS0tLnb9p9exkhp6dnr7hXrmZisNxxShUtAKM7P6xAD275gKfb4CNQSIM6dseANC1a1f1nrt37txBVVWVugA5ODjUqQA9/RUxaO8DeNMuJP+oATMXGrJN5z+t9TB6qGaDhaysLPj5+cHLy6vJBAsA1Puz37hxA59//jn2798PExMT9UrB1tbWaN++PaytrQE83R6LMQZDQ0M8efIEv//+O0pKSjBlyhTY2zfu1FhCCHnV8Hg8eHp6wtPTExs3bkRSUhJCQkKwa9cuLFy4ECNGjIBIJIKfnx/s7Ox03ud1bmuOj9o+3R4y8U46Dpx8jCfy1uCZuPzj2lnPUsorIOqXB6/+bZ/ebufOKC0thVQqxf3795GYmAg7Ozt1n9fY65AVlcqw9qdSMOPngwUA4PENwPitcCsPSA5VAbIcdBCUwfs1C3Rt9+Iv+goKCnD9+nV06NABbdu2bczha80sHyuEn0vFnSwTKA0dwePp7qOeg2EqVs500tjtFRQUQCgUokOHDvj111+bRLAAvHp9Hs1caCSMMSQmJuLAgQOQSCS4e/cuRo0aBaFQCF9fX9ja2uq0AGVmZiIlJQVubm5wcnJCRk4lws+X43aWCZQ82xeeAlH9Db+RkTG++nQSenR58RsGY0xdgKRSqXp/6boUIG1+u5+ZJEHOo5v1Pl7fZy6k3TyI/KyEeh3LNzSFx6igeh37JDMB6YkHX3jZyEE9sH6pd71u90Wys7Ph7e2NAQMG4KefftLLKXK1VVFRgbt378Ld3R3A09dT//79ce/ePURGRqJPn//9rW3evBkrV66ESCTC77//rnernBNCSHPFGMOdO3cgFoshkUiQkJCAIUOGQCQSwd/fH46Ojjrt86RSKRITE9G5c2e0bt0aj/MqcSSuALceGUPBdwKP//IPnQpZCWaPKkHf7tYvvU5ZWZm6zyspKYGNjQ0EAgEEAoHGa1FuQRXW/1IFnkn9PqgqK6VobVMCr76m6N3NChzHIS8vDzdu3EDXrl3RsmVLjY5XX+QVViHsbAFuphmgkhOAb6C99eHsDFKxeraTxl4DRUVF8Pf3h0AgQGhoaJPud5p7n0fhghYwxpCSkoKQkBCEhoYiMTERw4YNg1AohL+/PxwcHLRWgBhjSEtLQ1paGjw8PGBra/vcdbKfyBB2vgy3HhqiirMD7/+T7tT4/VCUPcSerVPR2tm61vf5sgLk4ODw0oUwtfkB/EGCGAXZifU+Xu/DhRsS5D+uX3hiYGQG95Ef1+vYvEfXkJF0+Lmfjxjohg3LfOp1my+Sm5sLHx8fuLu745dfftH6NM3GVH2+XUxMDN5880106NAB77zzDpycnBAZGYldu3bBxcUFERER6Natm66HSwghryTGGB48eKAOGi5fvoyBAwdCKBRCKBTCxcVFq0HDo0ePcOfOHbi5ucHR0fG5y/OLqnAktgA30g0g4zmBx//flz6Kynx8JFSg8//PfqiNiooK5ObmIicnB0VFRbC0tIRAIICjo2ODd9x4mF2OLX8y8E00MxVcUZkPW2MpXMwyIPLqCGdn/ViksrGVVyoQcT4fV+4wFMkdYGBU++e3rmwNUrFGg8FCSUkJRCIRzM3NceTIEZ0voq9JzbHPo3BByxhjSE1NVQcN8fHxGDRoEIRCIQICAuDs7NxoBYgxhtu3byMnJwe9e/eu1XoQBcVyhJ0rxY10AxRmXcPmxX1ha13/9RAqKyvVQUNhYaG6AAkEghoLYWrzA3hDPnwD+h8uNCQ8MTBqAfeRy+p1bO7DK3iYHFbjZ64dHfDupB7qtTka2nQ8efIEvr6+6Ny5M/bv399kpsjVBWMMCoUCP//8M9auXYvs7GyYmJigoqICo0ePxvr16zFw4EBdD5MQQgievmc/fPgQEokEEokE586dQ9++fdVBQ9u2bRu1z3vw4AHS09PRq1cv2Nj889paJWVyHD2bj/h7HGRKQ6yYYgpn+/p/eKuqqkJubi6kUiny8/Nhbm6u7vPMzev2gTYlrRT/PmLYaNtuKqqKYWuSh4GuBvAaYAsjw6ZxOmVDKZUM0VfzEXdThtxyzW5ryi+9hjcHF6qf84buslJWVoY33ngDPB4PYWFhOt+1pTE0tz6PwgUdYowhPT0dYrEYoaGhuHDhAvr3768uQK1bt9ZYAVIqlUhKSkJJSQl69+6tF3s3y2QyddDw1wL0r98cQOGCZty/fgCFOcn1OtbB1hzLPpyOMwlyZBa2AM/IutbHStMv4lFKhPrfg/u7Yt0iL3XTUVBQgBYtWtRoOury915YWAg/Pz+0atUKISEhjX6+p744duwY7t+/j9deew2dOnWClVX9d4AhhBDSeBhjePz4MUJDQyEWixEbGwt3d3d1n9epUyeN9XnVs2Rzc3Ph6empFwuKy+Vydc1/8uQJTE1N1TXfwsLibx97fEoRfog0h4GRdh6HUl4Oc34O+nTm4DPIVmNbXOo7xhiu3irCqasVeJhvDp6JoN5/k9a8VKycbou8vDx1b29qaqr+Qqmua89VVFRg4sSJkMlkOHbsmF78TWtDU+/zKFzQE4wxZGZmqpPus2fPolevXhCJRBAKhQ1awVYulyMhIQFKpRKenp56+SFMLper34zy8vJwONUPFC5oxv3rf6Iw51a9jnW0t0DIt/ORnZ2NpKQkmNl2x6V7JnggNYHKwOZvFwHNSTuPzNsnAACD+nbDlk/8a1xe/Zzn5uYiLy8PhoaG6tNlrK2t/3ZBxuLiYgiFQtjY2ODgwYPNaopcXVRPpyOEEKLfGGPIy8tTBw3R0dHo1q0bhEIhRCIRunXrVu/3c6VSicTERJSVlcHT01MvvkD6K4VCgSdPnkAqlSI3N1dd8wUCwXM7bsTG5+OP87bgG+pma3el4v+3uGyngP+Q+m9x2ZQ8efIECQkJMLPpiMt3jXAvxxTM0LHWi4Bacffx6Ts11xmpfs5zc3ORm5sLHo+nDhpsbW3/ts+rrKzElClTUFRUhOPHjze5D9ia0hT7PAoX9BBjDDk5OTh48CDEYjFOnz6N7t27qwtQly5dav2HVllZiWvXrsHY2BgeHh5NYqE7pVKJJT+YQ3vhQijyH9+o17FGRkbYs2UqOrSp/eqt2g4XUq/tR5H0dr2OdRZYYefaACQnJ8Pd3b3GKrUPc6oQcbEcKZmGkD2zNke17PtxyLp7CgN6d8UX/wr42/tRqVTIz89XNx2MMfVuI3/d1rS0tBSBgYEwMTHB0aNH9bKJIoQQQl6GMYaCggIcOnQIEokEJ0+eRPv27SEUChEYGAg3N7da73gkl8tx/fp1MMbQq1cvvfwC6a+USmWNms9xnDpouHBLhWM3HLW6+ODfUVQVYdUUZYNOFdF31cGCq6trjTUocp5U4ujZQiRnGEDGr7k2x7MsuftY/87fL2CqUqlQWFiofs7lcnmNPu/Z01plMhmmTZuGx48fIzIyslan9xD9QeGCnmOMIT8/Xx00nDp1Cp07d0ZAQAACAwPh6ur60gJUVlaG+Ph42NjYoHv37k1maz4A+Og7UzBthQv13E3B2NgY3wa/hY5t67YtjNbDhfjfUZR7p17HOjlY4L1JXZ4LFv6qoESOiAulSHjAR5nSFjy+ER6nnkFri0xsWyWs030yxlBUVKSeSlm9Tkdubi58fX2xcOFCAEBYWFidz98khBBC9E1RURGOHDkCiUSC48ePw9nZWf2Fkqen50v7t+ovkExMTODu7t4kvkD6q2c/dB49W4x02WDw+PqxfpKiqgjzvSvQs5OlrofSaF4WLPxVabkcx87l4+o9oFTpqJ5VYoH72DC3bjujMMZQUlKi7u3KyspQWlqKO3fuIDAwEGvXrsWDBw8QFRUFOzu7Bj9Gol0ULjQh1R+6Dh8+rC5Abdq0UQcN7u7u6gKUlJQEqVSKVq1aafScPm35aI8pGNNWuHAI+VnX63SMqakpfvh8Wp12zaim7XChegvR+rCzNsb3W96q0766lTIlTl4qxeOcJ3j3jQ71ut9nlZWVQSwWY8eOHbh9+zYsLCywYsUKTJ48GR06NPz2CSGEEH1RWlqK8PBwiMVihIeHw87ODgEBARCJROjXr586QEhJSUFOTg7s7e3/9oumpuLHI49xPbNdrafhNzZFVQE+CpDXadeMpqa2wcJfyeQqRF3Ox71MORZMaPiuEOXl5Thx4gQ2b96MmzdvwsTEBEuWLMG0adMadLoQ0Q0KF5qw4uJihIWFQSKR4NixYxAIBAgICICFhQW2bduGX375Bd7e3roeZr0s3mMKlZbChfSbh/CkDuGCeYsW2PvldDja129hGW2HC3ev/IKSJ/frdWxrF2v89u+5Gh5R3VVVVeGtt95CVlYWZsyYgRMnTqjPVz1//nyzXD2YEELIq628vBzHjx+HWCzG0aNHYW5ujoCAALRs2RJbtmzBli1bMGPGjCb/4evff2bhbkFHvXkcison+HgiQztn3az5oA31DRYai1KpxPz583HhwgUsXLgQMTExOHHiBNq0aYOoqCi0bNlS10MktfRqLIXaTFlaWmLKlCmYMmUKysrKcOzYMXzxxRe4ePEibGxsEB0dDSsrKwwYMKBJTpXTR1aWFvjv9hkN2o5T6xqQHxrpwdaOMpkMM2bMQE5ODqKjo2Fra4ulS5eisLAQcXFxFCwQQghplszMzBAYGIjAwEBUVlYiMjIS27dvxzfffIMWLVrg6tWraNOmDYYMGdIkt2JmjGHLvmw8rugEPckVoKzMxb+m8ODi0IT6vDrSx2Dhww8/xKVLl3DmzBm0bNkSixcvRllZGSIjI/VijKT2KFxoJszMzHD37l3cunUL4eHhkMvlEIvFmDRpEkxMTODv7w+RSITBgwfDwED/n3aOA6CtOTW1rGi2NtbYt2M6LMyb1qI+jKnqfSyfp9tqL5fLMWfOHKSnpyMqKgq2trbqy6ytreHn56fD0RFCCCHaYWJiguzsbFy8eBF//PEHrK2tERISgrfffhtKpRK+vr4IDAzEiBEjmsSijowxrPshG4WqjroeipqqMhtrpxvDwab57g6Rl5eHGzdu6E2woFKpsHTpUsTExCAmJqbGDIUWLVpAKKzbul1E9/T/UyaplfT0dPzwww84ffo0evXqBQAICAiATCbDqVOnIBaL1VPnqgvQsGHD9LYAWRsXI6/MXEvn3v3zB2hHB1v8d/t0mJnq5+/r7zTkzCceX3fncCoUCsybNw+3bt1CdHR0ndZ9IIQQQpqT/Px8bNmyBeHh4Rg2bBgAYOzYsdi9ezdiY2MREhKCBQsWoKysDL6+vhAKhfDy8tLbrZr/G5aDfHkb6MkSC2CVWdgwywzWlk2vz6stfQwWVqxYgYiICERHR6Nt27a6HhLRAFpzoRlRKBR/OytBoVDg9OnTOHDgAA4dOoSqqir4+vpCJBJh5MiReleApPkyhJ0vQ9JDQ1TBFjxe42RhGUlHkPco/qWXt3IR4Ocvp8LIUDP3r+01F25f/AFlhY/qdWyPri74ZtNUDY/onymVSixYsAAXLlzA6dOn9aIIEkIIIbr0T32eUqnEuXPnIBaLERoaioKCAowfPx5CoRBjx47Vu9MIC4plOBKXjxsPDFDJOYJvoJsZA1zVI2ycYwFzs6Z3akltVQcL3bt3h5OTk66HA5VKhdWrV+PPP/9EdHQ0unTpoushEQ2hcOEVpVQqERcXpy5AxcXF8Pb2hkgkgpeXF8zM9Otcs4ISOcLPlSIhjY8KlZ1GtynKSDqKvEdXX3hZh7Yu+H7rZBgaaC5a13a4kHLhe5QXZdbrWI/urfD1hikaHtHfU6lUWLRoEWJiYhAdHY02bdpo9f4JIYSQpk6lUuHy5csICQlBaGgoHj9+jLFjx0IoFMLb2xsWFvVblLqxlJbLEXY2H1fvcShXOYFvqJ0vvAxkGdjwjjXMTPRjMjdjTOMLW+pbsMAYw4YNG/DTTz8hOjoa3bt31/WQiAZRuECgUqlw4cIFddCQm5uLsWPHQiQSYdy4cTA3169teErLFTh2oRTxqRxKFbbg8RuWdGckhyHv4ZXnft65vQu+3zpF49s7aT1cOP8dyosf1+vY3j3a4KtP39TwiF5OpVLh448/xrFjxxAdHY327dtr7b5fJC0tDUlJSbCwsFBPQyWEEEKaEpVKhevXr6uDhrS0NHh5eSEgIAC+vr6wsrLSm50aAKCySolj55/gUgpDsUIAA6PGmXFhILuPz+baw8RYP4KF3IIqrP9FBgBoY1uKMf1aoFdXywbdpj4GC1u3bsXu3bsRFRWFnj176nQ81OdpHoULpAaVSoX4+HiEhIRAIpHg0aNH8PLyglAohI+PDywtLfWrAMmUOHGxBJfucCiqsgHPoO5J94vChS4dnDDNpxV4PB4EAgEEAgFsbGw0EjRoO1y4de5bVJRk1+vYfh7t8OWaiRoe0YupVCqsXLkSoaGhiI6ORqdOnbRyvy+Sm5uLDRs2YNeuXQAAPp8PZ2dnrFq1CrNmzWqSq3ITQgghjDEkJiaqg4bbt29jxIgREIlE8PPzg62trV71eTK5CqcuPcHZJCUKZA4wMNLMjAuDytvw7ZEKHg9wcHCAQCCAra2tznZXy3lSiQ2/KsA3EdT4uaLyCZwtCjHC0wSDPazr9NzoY7CwY8cObNu2DZGRkejdu7fOxkJ9XuOhcIG8lEqlws2bN9VBw7179zB69GgEBATAz88PNjY2elWA5HIVoq6WIPamHIUyO/ANa5d0ZySHI+/hZfW/X+vTFZ+vDIBKpUJhYSGkUimkUimUSqW6ANnZ2dW7AGk9XDj7DSpKpfU69rXeHfD5v97Q8IiexxjDunXrsG/fPsTExKBr166Nfp8vk5+fj7lz5yI0NFS9+GllZSUOHDiAq1ev4scff8SECRN0Nj5CCCFEExhjuH37NsRiMSQSCW7cuIGhQ4dCJBLB398fAoFAr/o8pZLhzLV8RMVX4EmlAwxNbOp1O1bcfXz6jiMAoKioCFKpFDk5OZDL5bC3t4ejoyPs7Oy0trtaVm4FNv2uAt/E4W+vp6gqgp3pEwzqboDR/W1haPDyL7z0MVjYtWsXgoODcfz4cfTv319nY6E+r3HpfbjQGOcekbpjjOHWrVvqpDspKQnDhg1TFyB7e3u9eJ5ycnKQmJiIbt26416OOWJvKpBTagWe4ctP7Xg2XBg5uAfWL/F+7jqMMXUBkkqlkMlksLe3h0AggL29fZ0KkLbDheS43agsy63XsUP6dULwikANj6gmxhiCg4OxZ88eREVFwc3NrVHv75/G8q9//QtbtmzB9OnTsXXrVggET79FSEtLw7Bhw+Di4oKjR4/S7hWEEKIB1OfpB8YY7t+/rw4arly5gkGDBkEoFCIgIAAuLi568Tzl5+fj+vXr6NixIzKLLBEdX4msYmsYmNjV6nh7w1SsmuX03GNhjKGkpETd51VUVMDOzg4CgQAODg6N9k32I2kFNu9n4JvUradQyMpgaSBFv64cxg+0rbFmhD4GC3v27MHatWtx7NgxDBo0SKdjoT6vcel9uED0D2MM9+7dUwcN165dw6BBgyASiRAQEAAnp+fftLUhKysLKSkp6NmzJxwc/pf+MsZwMakMMddlyCyyBM+w5vlrD28dQ27GJfiM9sQn73v94/0wxlBaWoqcnBx1AbK1tYWjo2OtCpDW11w49y3K63laxIiBXbBhWePtMcwYw7Zt27Bz506cOnUKHh4ejXZftZGamooBAwagTZs22LdvH7p3715jde5Zs2bhv//9LxISEtTnCSYnJ+PGjRswNzeHp6dnjT2aCSGEkKaGMYaMjAxIJBJIJBKcP38e/fr1Q0BAAEQiEdq0aaOTPi83Nxc3b95Et27d4OLiUuOy+JQinLxcjocFli+dAeBilorl02q3+1RpaSlyc3ORk5OD0tJS2NjYqPs8Y2PN7GrxMLscW/7kwK9lMPIySkUlTJEDj/YqDOymQtr9ZLi5uelNsPDzzz9jxYoVOHLkCIYPH67T8VCf1/j0YwWTFzhy5AgyMjKQl5eHUaNGoVOnTnB2doZKpdL4AnukbjiOQ+fOnfHJJ59gxYoVSE9Ph1gsRkhICD7++GMMGDAAQqEQQqEQrVq10koBevjwIe7evQsPDw/Y2dV8k+Y4Dq/1MMdrPZ7++9qdXJy6KkNGfgtwhtYAx2GC7wAsert2C7lwHAcLCwtYWFigU6dOKCsrg1QqxcOHD5GcnAwbGxv1Og0vLkDaLcgqpqz3sQb8xnutMcawc+dO7NixAydPntR5sAAAu3fvRn5+PoKDg9WrFz87K6V9+/YwNjaGUvm/3+mBAwcQHBwMmUwGKysruLm5Yc2aNRg7dqzWx08IIU0F9Xn6i+M4tG3bFosXL8ZHH32ErKwshIaGQiKRYM2aNfDw8FD3eR07dtRKn5ednY2kpCT06NEDjo6Oz13eu5sVenezAgAkp+bg2MUSpOVZgDN++q10B6tUfDTZ5bnjXsbc3Bzm5uZo3749KioqIJVK8fjxY6SkpMDKykrd55mamtbr8aQ9LsfnB3gwMLGt1/HP4huYQIa2uPwQuJgmB09mgPslSvgNqYSzve62mWeM4bfffsPy5ctx6NAhnQcLAPV52qCXMxcmT56MsLAwVFRUqIuMp6cnvvzySwwdOlTXwyMvwRhDZmYmJBIJxGIxzp07B09PT4hEIgiFQrRr165RCtCDBw+QlpYGT09PWFtb1+nYW2nlyMwuhtdrmkl3qwuQVCpFUVHRCwvQou+0u81nUtwuVJXl1evYccPdsOpDHw2P6Onfyn/+8x9s3LgRERERGDBggMbvo66Ki4vh5uYGjuNw7dq1GiGVUqkEn89HQEAAoqKiEBYWhuHDh0OhUCA9PR3JycmIjo7GqVOncPPmTQwePBiHDh2CrW3DmwZCCGluqM9rmhhjkEqlOHjwICQSCaKjo+Hq6gqhUAiRSISuXbs2Sp+XmZmJ27dvw93dvc5T1e8/KsPt9HJ4D/779Qxqq6qqSt3nFRQUwNzcHI6OjhAIBGjRonZrfd1/VIZtEr5GgoW/w1RKcPIcdHKsgPcgS3Rq1Ti7brzwvhnDgQMHsHDhQoSEhGD8+PFau++XoT5PO/QuXJg5cyZCQkIwf/58TJw4EUVFRfjjjz+wd+9ecByH//znP5g9e7bWFlkh9cMYQ05ODkJDQyEWi3H69Gn06NFDXYA6d+7c4ALEGENqaioePXqEPn366N2ezVVVVcjNzYVUKkV+fj7Mzc3h4CDAzlM9tDqOxNh/Q1aeX69jfUf1xIoFmi0IjDH8+OOPWLVqFcLCwjBkyBCN3n59HTt2DL6+vvjoo4/w5Zdfqn9efT5wcXExnJ2dIRAIcO3atRcGWQsXLsRPP/2E4OBgfPjhh1ocPSGENA3U5zUPjDEUFBTg0KFDEIvFiIyMRIcOHSAUChEYGIju3btrZAZKRkYGUlNT0atXL9jY1G8Bx8Yil8vVp07k5+fD1NQUAoEAjo6OMDc3f2Gfeze9FDsOG8HA2FqrY2WMgVVJ0cauFGP7tYBHl4ZtcflPDh48iLlz52L//v3w9/dv1PuqLerztEOv3rkvX76Mo0ePYurUqVizZg2srJ5Obxo3bhwGDBiA4OBgzJ8/H5WVlVi4cKFeLCxDXozjODg5OeG9997D/Pnz8eTJExw6dAghISEIDg5Gly5dEBAQgMDAQLi6utb5uaxe4VgqlaJfv361Tou1ydjYGK1atUKrVq3UBSg7u367NjSISlXvQ81baHY6HWMMv/zyC1auXIkjR47oTbDAGMPFixfBcdxz+xyrVCrw+Xzs378fFRUVGDlyJKytrWtM3WWM4c6dOzh06BA6duyIMWPGqI+l6b2EEPIU9XnNB8dxsLW1xezZszF79mwUFhbiyJEjkEgkGDFiBFq2bKmeudqrV68610LGGB48eICMjAz07t1b/beiTwwNDeHi4gIXFxcoFArk5eVBKpXi8uXLMDIyUs9ctbKyAsdxSEkrxb+PGMPAWPuPheM4cCaOeFTmiB9jAGXEEzhbFmKKlyU6aHhGw9GjRzF37lz88ssvehMsUJ+nPXoVLqSnp6OgoADDhw+HlZUVFAoFOI4Dn8/HvHnzYGtri9WrV2Px4sWwtbXF1KlTaZXhJoDjONjb22POnDl4++23UVhYiMOHD0MikeDLL79EmzZt1El3z549//FFyhhDcnIyCgoK0K9fv3qf76ZN1QVI4OgCXNHufdd3clJLZwfMm6a56amMMezfvx/Lli3DwYMHMWLECI3ddkNxHAepVApTU1NYWtZM86u3HP3+++8BAHPmzAFQ8/fKcRxOnjyJzMxMTJ48Ga6urgBABYcQQp5BfV7zZW1tjenTp2P69OkoKSlBeHg4xGIxvL29YW9vr14Msl+/frXq8+7evYvHjx+jb9++MDd/+Y5f+sLAwABOTk5wcnKCUqlEfn4+cnJycO3aNfD5fJSrbHHkZledBAsvwjexQ25JBRztNLM4ZbXjx49j9uzZ+PHHH/H6669r9LYbgvo87dGrcKH6yc7PfzqFu3pKXHUqNHHiRCiVSnz44YeYPXs2unXrhj59+uhsvKTuOI6DjY0NZs6ciZkzZ6K4uBhHjx6FRCLBmDFjIBAI1KdO9OnT57kXrUqlQmJiIkpLS9G3b1+YmOhuoZr60MlJSPVY0NHFyQH/3T4NhgZ8jQ1DIpFg0aJF+PPPP+Hl9c+7cmhbRUUFysvL1dPgZDIZDA0NwXEcDh48iCtXrmDo0KEYPHgwgP8VI+Dpe9bvv/8OBwcHjBs3DgCl2YQQ8lfU570aLCws8Oabb+LNN99EeXk5IiIiIBaLERgYCAsLC/j7+0MkEmHgwIE1ainw9ANdSkoK8vLy0LdvX72cmfpP+Hw+HBwc4ODgAJVKhQvXs3DkrBMMjBv3VIQ6qcrEZ+9YooWp5j4KRkVFYfr06fjPf/6DSZMmaex2NYX6PO3Q+W/k2VTIzs4ORkZG2LlzJ1JSUtQ/5/F4UP3/1O7JkycjKCgICoUCO3bsQFlZmdbHTDTH0tISb731FkJCQpCTk4OtW7ciOzsb/v7+cHNzw/Lly3Hu3DkolUqUlJTgvffeQ35+fpMMFgBAF9mCitXttAhnR3v8smMajAw1V3AOHz6M+fPn49dff4WPj+YXiNQEPz8/AEBMTAwAwMjICBzHISEhAevWrYOZmRmWLVsGADVWEQaAixcv4vz58xgxYgQGDhwIgNJsQggBqM971ZmZmeH111/Hr7/+iuzsbOzevRsVFRWYPHkyunTpgkWLFiEmJgZyuRxVVVX44IMPkJaWprenvNbVjbul+PWcs/4FC3PMNRosxMbGYsqUKfjqq68wbdo0vZxtRH2edujdgo4LFy7E7t27sXz5cixZsgQODv9b3fXZhGj48OF4+PAhLl++/NzWg6Tpq6iowIkTJyAWi3H06FEYGRlBqVTCwsICUVFREAgEuh5ivVTJgaCftLtbxPWoLVDJK2t1XSdHO/z61QyNBgvh4eGYOXMmfv75Z0yYMEFjt6tpJSUlePPNN3H+/HkEBQWhV69eKC8vx8cff4y0tDRs2rQJy5Yte26RscrKSsybNw+///47vvvuO8yaNYum8RJCyEtQn0eAp98aR0dHQywW4+DBg1CpVDAyMgJjDCdPnkSHDh10PcQGu3qrED+esoSBkR6d1lGViY1vm8OihaHGbvL8+fMIDAzEli1bMH/+fL3tf6jP0w6dhQtHjhzB3bt3UVJSgv79+8PDwwMuLi7IyMjAhAkTcPv2bWzYsAHTp0+vsTqsTCaDkZERgoKC8MUXXyAqKkqvzt0mmvf48WOMGDECJSUlqKqqAp/Ph5+fHwIDAzFs2DAYGmruDbKxVcqA5Xu1HC5EBkOllP3j9RwFdvh1xwwYG2suWIiMjMRbb72FPXv2YMqUKRq73cZy5coVBAUFISYmBoaGhpDL5XBycsKyZcuwZMmSGtetLiw3b97E8OHD4erqit9++w1t27alokMIeeVRn0dqq6ioCKNHj0ZGRgZ4PB6qqqrg6+sLkUiEUaNGNcmZqpeTCrE32goGRno0+6IyCxvntNBosHD58mUIhUKsX78eH3zwgd73PtTnNT6drLkwadIkHD58GDLZ/z7wDBw4EO+88w5mz56NTz/9FAsXLsS6desgl8sxZcoU9UqsRkZGAIDCwkI4OTmhXbt2ungIREuys7MxduxYuLm54ffffwePx8Pp06cREhKCuXPnQi6XqwvQyJEjYWys2YVpNE0XUV5t8kOBg63Gg4XTp09j6tSp2L17NyZPnqyx221Mffv2RVRUFG7evImYmBi0atUKvXr1Qtu2bdXXqS4oHMdBpVLh4MGDKCwsxLhx49TXo4JDCHmVUZ9HaquoqAi+vr6wsLBAamoqzMzMcPbsWYjFYixZsgRFRUUYP348hEIhxo4dCzMz7X5BUx8XbhZg3xlrvQoWWOVjbHjbTKPBwrVr1yASibBq1aomESwA1Odpg9ZnLsyePRshISFYuHAhZs+ejbS0NMTGxiI4OBgqlQqrV6/Gp59+itDQUCxfvhxZWVl46623sGDBAnh4eAAAwsLCsHDhQnTo0AFisfiF+5CS5iEvLw87duzAunXrnpumpFQqERsbC7FYjNDQUJSWlsLb2xsikQheXl56uYuEXMGw40AJMvJNwTPUzorB105sAPubdRcc7G3w61czYGpipLH7PHv2LN544w18+eWXmDNnTpN/E66eqqtSqRAXF4fMzEwMGzYMZmZmGDlyJIqKirBv3z4MHjyYFvghhLzSqM8jdVFaWorPPvsMa9asea5vU6lUuHTpEkJCQhAaGoqcnByMGTMGIpEI48ePh4WFhY5G/fe+ET9GUqYF+Cb6cQrv02DBFFbmmuvzbt68CR8fHyxduhSffPIJ9XlETavhQnJyMoYOHQp/f39s3769xjS4mJgYTJo0CXl5eQgKCsLmzZsRExODDRs2IDo6Gi1atIBQKERhYSESEhJQUVGB2NhY9VYg5NWmVCpx4cIFddCQl5eHcePGQSgUYty4cXq5jdGNe2U4eaUK6U9agDO0+ecD6in++Hq8bClJezsb/LZTs8HCxYsXIRKJsGnTJrz//vtNvuA8Ky8vDx988AH++OMPDBkyBK1bt8b+/fsxa9Ys/PDDDwBo9WBCyKuL+jzSWFQqFa5du4aQkBBIJBJkZGTAy8sLQqEQPj4+sLKy0rt+IyWtFOHni/Eg1xycsQAcp/3egFU+xvpZprC21Fyfl5ycDB8fH7z33ntYt26d3v3eG4L6vIbTargQEREBHx8fhISE4PXXX1efV1f9JF25cgUTJkxARkYGPvvsM3zyySeQyWTYunUrDh06hMTERAgEAnh6emLLli3o2rWrtoZOmhCVSoWrV6+qk+5Hjx5hzJgx6gL01/1t9cGdjApEXKzAfakpVAY2Gi1A8cc/feHP7Wyt8dvOmTAz1VzBuXr1KgICArB27VosWrSoWRWcarm5ufj888/x888/Izc3FwAwZswYLFu2DB4eHk12sVFCCGko6vOINjDGkJiYqA4a7ty5g5EjR0IkEsHX1xe2trZ61388yCpH2Nki3M02BTN0BMfT3FbfL6OqzMb6WSaw0WCwcOfOHXh7e2PmzJkIDg7Wu9+zJlCf1zBaDRdiY2MxfPhwLF++HMHBwTUuqz6/5fLlyxg9ejTkcjn27duHN954AwBQVlaGoqIi2NragjGml1Peif5RqVS4ceOGOmhITU3F6NGjERAQAD8/P1hbW+vdG2PG40qEXSjHnccmUPJswTUgHWVMhWsnNjz3c2srC3y76Q04O9pr7PEnJCTA19cXK1aswMcff6x3v9fGEBoaii+//BJnz56FqakpBg8ejJ07d6Jbt266HhohhGgd9XlE2xhjuH37NsRiMcRiMRITEzF06FCIRCL4+/vDwcFB7/qRrNwKHI0rRPIjYygNncDjaX4JPEV5FpYGVqFdaweNfcuempoKb29vTJo0CV988cUr8e099Xl1p9VwISsrCz179kSbNm3wyy+/oEePHjUur062Dx8+jDfeeANTp07F3r17AYBW5SQNxhhDcnKyOmhITk7G8OHDIRKJ4OfnB3t7zX3Q1pTHeTKEXyhF8kMjyDm7OifdTKXEtZMba/zM2soSaxa8htLifPD5fAgEAggEAlhbW9e7UCQlJcHb2xuLFi3CqlWr9O732NhSUlKwbds2xMbGIj4+vkksOEUIIZpGfR7RJcYYUlNTIRaLIZFIEB8fj4EDB0IkEiEgIADOzs569zeWV1iFo3EFuJlmABnfCTx+w2cZKCuyMXXwQ8jK8sAYg4ODAwQCAezs7Ord56WlpcHb2xv+/v7YuXPnKxEsPIv6vNrT+oKOGzduxJo1a7BkyRJs2rRJvSpwNcYYKisrMWnSJERERCAxMZGmxRGNY4zh7t276qDh+vXrGDx4sLoAOTo66l0BelIow4FIKW5lmkBl5Awe/59X/FWpFLh+8jP1v22srfDbv2fC3MwYKpUKBQUFkEqlkEql9S5AKSkp8Pb2xrvvvov169fr3e9Nm55dEOhVK7yEEAJQn0f0A2MMGRkZ6qDhwoUL6N+/PwICAiASidC6dWu961eKSmX480Qmbjzgg5m2A9+g7ltwqipzsHaGEeytjcEYQ2FhobrPUygUsLe3h0AggL29Pfj82n1hlZmZibFjx2Ls2LH45ptvXun+hvq8f6b1cCE7OxtvvPEGzp8/j82bNyMoKKjG5dXJdXBwMP71r38hNjYWgwcP1uYQySuGMYa0tDR1Abp06RJee+01CIVCCIVCtGzZUi8KUGZmJm7fvg1PT0/wjSxw7Hwprt3noUxp+9KkW6WU43rkJgBPZyz8tnMmLMyfL1aMMRQVFSEnJwdSqRRyubxG0PDXnTqq3b17F97e3pg2bRo2b95Mb7SEEPKKoz6P6BvGGLKysiCRSCCRSBAXFwcPDw+IRCIIhUJ06NBBL/o8qVSKmzdvomfPnjC3tEX4uXxcucNQqnQE3/CfvylXVkqxdrohHGye35adMYaSkhJIpVLk5OSgsrKyRtBgaPjiL6weP36M8ePHY8iQIfj+++9rHUiQV5fWwwXg6WIg48ePR1paGjZu3IiFCxc+t8jeRx99hL179+LcuXPo3r27tofYKGjKn/5jjOHRo0fqAnT27Fn06dNHHTS0a9dOJ8/ho0ePcOfOHXh6etZYfRsAKiqViLhYgit3ORTLbMB7JulWKmRIOBUMaytL7PtqJqws/jkFf7YASaVSVFRUwM7ODgKBAA4ODuoC9ODBA4wfP1695SQFC4QQQgDq84j+YowhJycHBw8ehEQiQUxMDFxdXdVBQ9euXXXyHD4bLPx1wUCZXIXjF57gwi0VCmUOMDB6fgc0ZaUUa6YZQmD7fLDwV4wxlJWVqfu80tJS2Nraqk+TrZ5tJJVK4e3tjd69e+Pnn39+6RdNhDxLJ+ECANy6dQtCoRD37t3D22+/jalTp2LkyJEAgPDwcHz00UdwcnLC4cOHm8X+xn9dMZnoP8YYsrOzERoaCrFYjDNnzqBnz57qoKFz585aKUB/Fyz8lVyuwskrJbhwiyG/0gYAD2mXd+HXnbNqFSy8SGlpqboAnTx5EqdOncKQIUNw4MAB+Pv74+uvv6a/aUIIITVQn0f0HWMM+fn5OHToEMRiMSIjI9GpUycIhUKIRCJ0795dK8/l3wULf6VUMkRdeYK4m3LkVdjDwNgKyspcrJ7Kh6Nd/fq88vJydZ934cIF/PHHHxgxYgTCw8Ph7u6O33777aUzGwj5K52FC8DTVUc/+ugjREREwMzMDIMGDQJjDAkJCVAoFDh9+nSzSLPnzZsHc3NzbNiwAWZmZlR4miDGGPLy8tQFKCoqCl26dFEXIFdX10YJGuoSLPyVUslwOr4QvbuawNpSM6tu379/H7t378YPP/wAuVyOIUOG4PXXX8frr7+ONm3aaOQ+CCGENA/U55Gmovr00CNHjkAsFuPEiRNo1aqVus/z8PBolOc0JycHiYmJtQoWXjTmuOsF6NTaDM729QsW/urRo0fYs2cPdu3ahcrKSvTt2xdvvPEGXn/9dXTu3Fkj90GaN52GCwBQWFiIsLAwfPHFF8jKyoKFhQX69OmD9evXN4sFfqZNm4bffvsNLi4umD9/PpYuXQpTU1MqPE1Y9QI5hw4dgkQiwYkTJ9CuXTsIhUIEBgaiR48eGnluGxIsNJbs7Gx4e3vjtddew8aNG3H06FGIxWKcPn0aN2/epK15CCGE1EB9HmmKSkpKEBYWBrFYjGPHjsHBwQEBAQEIDAxE3759NfLcVgcL7u7ucHBw0MCoG66oqAj+/v5wdHTEd999h+PHj0MikeDkyZM4efIkhg0bpushEj2n83ChWkVFBaqqqmBgYAAjI6PnVhduir799lu8//778PT0RG5uLvLy8rBixQosW7aMCk8zUlRUhKNHj0IikSAiIgJOTk7qpLt37971eo71MVjIzc2Fj48P3N3d8csvv9Q49y4/Px82NjZ0rikhhJAXoj6PNFVlZWWIiIiAWCxGWFgYrKys4O/vD5FIhNdee61eixzqY7BQUlICoVAICwsLHDlyBCYm/5sNUVxcDFNTUzo9gvwjvQkXmpvbt29j6tSpuHXrFq5evYqysjJMmDABeXl5CAoKosLTTJWWluLYsWMQi8UIDw+HjY2Netuj/v3716oA6WOw8OTJE/j6+qJz587Yv38/FRdCCCGvNOrzXk0VFRU4efIkJBIJDh8+DGNjY/j7+yMwMBCDBw+u1aKH+hgslJWV4fXXXwefz0dYWBhatGih6yGRJore7RpJZWUlLC0t8d1336Fbt27w8PDADz/8AAcHB2zduhVffPEFKioq1HulkubB3NwcEydOxP79+5GdnY2vvvoKhYWFmDBhArp164YlS5bgzJkzUCgULzxeH4OFwsJC9U4Zv//+OwULhBBCXnnU572aTE1NERAQgL179yI7Oxs//fQTGGOYMWMGOnbsiAULFuDkyZOQyWQvPF4fg4WKigpMmjQJjDEcOXKEggXSIDRzQcOe3YYoJSUFLVu2hIWFhfqymJgYzJkzB7m5uTWSbblcXuNDG21n1LxUVlbi1KlTkEgkOHToEPh8Pvz8/BAYGIihQ4fC0NAQO3fuhLW1NQICAvRm5ezi4mIEBATAzs4OoaGhNabIEUIIIa8a6vPIiygUCpw5cwYHDhzAwYMHUVlZCT8/PwiFQowaNQomJib473//q57hoi/BQmVlJSZPnozi4mIcP34cVlZWuh4SaeIoXNCyFxWexYsXw9z86Z61YrEYHTt2RK9evXQ7UNJo5HI5YmJiIBaLcfDgQcjlcrRr1w5JSUnYt28ffHx8dD1EAE9P8RCJRDAzM8ORI0dgaqqZHScIIYSQ5or6PKJUKnH27FmEhITg4MGDKCoqgqurK+Lj47Fz507MmDFD10MEAFRVVWHatGnIycnByZMn9WbGLGnaKFzQkCNHjuDu3bsoKSlB//790adPH/WWMkqlssa59n8tPCtXrsSSJUsQGhqKhQsXomXLlrh48SKMjY0p1W7mFAoFPv74Y+zevRuWlpaQy+Xw8fGBSCTC6NGjdfaBvqysDG+88QY4jkNYWJi6KSKEEEJeRdTnkfpQqVQIDg7Gp59+Cmtra5SXl2Ps2LEQiUQYP368zvoruVyOGTNmIC0tDVFRUbCzs9PJOEjzQ+GCBkyaNAmHDx+ucX7VoEGDMHv2bMyZMwfAiwvPqVOnMG/ePEilUowfPx6xsbGoqqrCmTNn0LNnT60/DqJ933zzDVasWIFjx45hwIABOH/+PMRiMUJDQ/HkyROMHz8eQqEQ48aN09o5cNXn3lVWViIiIkI93VPX0tLSkJSUBAsLC9oKiRBCiNZQn0fqKyQkBDNnzsSff/4Jb29vxMfHIyQkBBKJBI8ePcLo0aMhEong4+MDS0tLrYRNCoUCb7/9NlJSUhAVFaUOyXSN+rzmgcKFBpo9ezZCQkKwcOFCzJ49G2lpaYiNjUVwcDBUKhWCgoKwefNmAM8XHgA4ffo0pkyZguzsbFhbW+PMmTPo0aOHLh4K0TLGGD744AO89dZbGDRoUI3LVCoVrly5gpCQEISGhiIrKwtjxoyBUCiEt7c3LC0tG2VMVVVVmDJlCgoKCnDixAm9OPcuNzcXGzZswK5duwAAfD4fzs7OWLVqFWbNmkULTBJCCGk01OeRhli9ejVee+01+Pr61vi5SqVCYmKiOmi4e/cuRo0aBaFQCD8/v0bb3lupVGL+/PmIj49HdHQ0nJycNH4fdUV9XvNC4UIDJCcnY+jQofD398f27dtrnKsUExODSZMmIS8vDx9++CF27NgB4OmbCcdx6jeMvXv34sMPP4ShoSHi4uLg6uqqi4dC9JhKpUJCQoI6aLh//z5Gjx4NoVAIX19fWFtba6QAyWQyTJ8+HZmZmYiMjIStra0GRt8w+fn5mDt3LkJDQ+Hr64vAwEBUVlbiwIEDuHr1Kn788UdMmDBB18MkhBDSDFGfR7SBMYaUlBR10JCUlIRhw4ZBKBTC398fDg4OGunzlEolPvjgA5w9exYxMTFo2bKlBkbfMNTnNUOM1NuxY8cYx3FMLBYzxhirqqpijDGmVCoZY4xdvnyZtW3blnEcx9auXfvc8T///DOzsrJitra2LDExUWvjJk2XSqViiYmJbN26dczd3Z0ZGhqyMWPGsF27drH09HRWWlrKysrK6vxfYWEhCwwMZD179mS5ubm6fpiMsaeP9ZNPPmE8Ho/NnDmT5eTkqC978OABa926NRswYIDejJcQQkjzQn0e0TaVSsXu3r3LgoODWb9+/ZiBgQEbNmwY27ZtG7t79269+7ySkhL2zjvvsHbt2rG0tDRdP0zGGPV5zRVP1+FGU1Z9Dvzly5cBAEZGRgAAHo8Hxhj69u2LAwcOwNzcHFu3boVEIlEfW1paikePHsHIyAjR0dFwc3PT/gMgTQ7HcXBzc8PatWtx/fp1JCYmYsSIEfjxxx/RsWNH+Pn5Yc+ePcjOzgar5aQkhUKBefPmISUlBSdPnoS9vX0jP4rauX//Pr777jt4eHggKCgIAoEACoUCANCuXTuMGjUKly5dwuPHjwE8TeSrFRUVITs7WyfjJoQQ0jxQn0e0jeM4dOrUCStWrMDFixdx9+5dBAQEQCKRoFu3bhgzZgz+/e9/IyMjo9Z9nkqlwvLly3H8+HFERkaibdu2jfwoaof6vOaJwoUG6NixI2xsbBAREYHExMQal3EcB5VKhX79+mHfvn2Qy+U4fPiw+nJzc3NMnToVN2/ehLu7u7aHTpoBjuPQpUsXrFy5EpcvX8bt27fh4+OD/fv3o0uXLhg/fjx2796NR48evbQAKZVKLFiwAPHx8Th16hQcHR21/Chebvfu3cjPz8d7772H7t27AwAMDAzUl7dv3x5GRkbqQsTn83H//n1MnjwZQ4YMQb9+/TBs2LAarztCCCGktqjPI7rEcRzatWuHpUuXIjY2FmlpaZg8eTKOHTuGnj17YsSIEdi+fTvu37//0j5PpVJh9erVOHjwICIjI9GxY0ctP4qXoz6vmdLltInmYMOGDYzjOLZ06VL1dLlnqVQqVl5ezvz8/JiBgQFLSUnRwSjJq0SlUrH09HS2fft2NnToUMbn89mAAQPYpk2bWFJSknpKXUlJCZs9ezbr2LEjy8jI0PWwaygqKmKtWrVirVu3Znl5eTUuUygUjDHG/P39mZmZGYuOjmaMMRYZGcnatGnDeDweGzp0KJs2bRrr27cvMzExYevXr9f2QyCEENIMUJ9H9I1KpWKPHz9mu3fvZl5eXszAwIB5eHiwtWvXsvj4eHWfV1paypYvX84cHR1ZUlKSroddA/V5zReFCw30+PFjNmjQIMZxHNuyZctzl6tUKsYYY5s2bWIcx7G4uDhtD5G8wlQqFcvMzGRff/01GzVqFDMwMGC9e/dm69atY5MnT2Zt27ZlDx480PUwnxMeHs44jmOLFy+u8fPq11NRUREzMzNjbdu2ZcXFxSwrK4u5u7szjuPYrl271NdPTk5mI0eOZA4ODuzChQtafQyEEEKaPurziD5TqVQsNzeXff/998zb25sZGRkxNzc3tnLlSjZv3jxmb2/Pbty4oethPof6vOaLTotoICcnJ/z0009o164dVqxYgU2bNqG4uFh9efXqrjk5ObC0tKyx0nBz8ux5UER/cBwHFxcXLFiwAJGRkcjKysK8efMQERGBkJAQnDx5Eu3atdP1MGtgjOHixYvgOO65fY5VKhUAYP/+/aioqMD48eNhYWGB7du3IzExER9++CHef/999fVdXV2xaNEi5OXlISYmRn37hBBCSG1Qn/cU9Xn6ieM42NvbY86cOQgLC0NOTg6CgoJw8eJF7NmzB0ePHkXPnj11PcwaqM9r3ihc0IAuXbogLCwMnTp1wqpVq7BkyRJER0erLw8PD0d4eDjc3d3h4uKiw5E2nrKyshr/piKkfziOg4ODA959912cO3cOeXl56Ny5s66H9RyO4yCVSmFqagpLS8sal1XvH/79998DAObNm4ekpCT8+eef6NWrF6ZPnw7gaWGpLi69evUCAEilUiiVykbZN5oQQkjzRX0e9XlNAcdxsLa2xowZMxAZGYn8/HwMGDBA18N6DvV5zZvBP1+F1IarqyuOHTuGjz76CD///DMOHDiAQYMGgTGGhIQEKBQKHDx4ENbW1roeqkZ99tlnOH/+PBISEjBkyBD07dsXS5YsUb85EP3EcRysrKx0PYyXqqioQHl5ufr1IpPJYGhoCI7jcPDgQVy5cgUjRoyAp6cnNm7ciIyMDLz77rvq1birF9riOA43btxQ3yb9XRJCCKkP6vOoz2tqqM8jukAzFzSoY8eO+OWXX7B371506NAB8fHxuHfvHoYNG4a4uDj1SqjNhVAoxIYNG5CamoqWLVsiLCwMH3/8MYYNG4b4+HjI5XJdD5E0UX5+fgCgnuJmZGQEjuOQkJCAdevWwcTEBEFBQZDJZIiOjoazszOGDh0KExMT9W3weE/f3s6cOQMAGD58OID/TbkjhBBC6oL6POrziGZQn9eM6Wqxh+auvLycFRQUsJKSkheuLtzUrVy5khkZGbFNmzaxgoICxhhjaWlpbMqUKczQ0JB16dKFHTp0iFVWVup2oKRJKi4uZt7e3sza2ppt2rSJhYeHs5CQENa+fXvGcRwLDg5mcrmcZWRkMIFAwHx8fFhmZiZj7OliQNULAj18+JANGjSIWVlZsfT0dF0+JEIIIc0I9XnU55H6oz6v+aJwgdSZQqFgQ4YMYX369GHFxcWMMaYurPn5+Wzz5s3MwcGBtW/fnoWFhanfAAipi8uXL7ORI0cyjuOYkZER4ziOOTs7s23btqmvc+7cOcZxHJs1a1aNY5VKJWOMsZ9//pkZGRmxKVOmMJlMptXxE0IIIU0R9XlEG6jPa55ozQVSJyqVClKpFNeuXcOwYcNgYWEBmUwGIyMjMMZgY2ODBQsWwNTUFOvXr8fHH3+M7t27o127dlAqlXQuFKm1vn37IioqCjdv3kRMTAxatWqFXr16oW3bturrSKVSAFAvoFVVVQVDQ0PweDxUVFRg//79kMvlmDlzJgwNDXXyOAghhJCmgvo8oi3U5zVPFC6QOuHxeHB2dkbv3r1x69YtVFRUwNTUFCqVCjweD4wxmJubY/bs2cjPz8f69evx4Ycf4vDhw1RwSL307NmzxjZK7JkthgYOHAhDQ0MkJycDAIyNjdWX/fe//0VERAS8vLwwbtw47Q2YEEIIaaKozyPaRn1e80ILOpI6YYxBqVTC3d0d6enpWLVqFeRyubrgcBwHxhgsLCywcOFCDB06FEePHkV4eLiuh06aieothhhjEAgEmDNnDo4dO4bNmzcjJSUFcrkcP/zwA5YtWwZbW1ts3LhRfX1CCCGEvBz1eUTXqM9r2jhGzwSpheqCUi0nJwevvfYaSkpKsHXrVsyaNatG4alOuE+dOoVx48Zhy5YtWLp0qQ4fAWmuUlJSMH/+fMTFxaFDhw6orKzEo0eP0LVrVwQHB0MkEul6iIQQQoheoz6P6Cvq85oWmrlA/tb169chl8trFBylUglHR0ds27YNjDFs3boVf/zxB5RKpbrgVHNycgLHcXj48KEuhk9eAd26dUNMTAx+//13uLu7Y+DAgdi4cSMOHDhABYcQQgj5G9TnEX1HfV7TQmsukJfy8fFBRkYGtm/fjlGjRqnPpav+v5eXF9atW4fVq1djzZo1yM/Px9y5c2FkZKS+jQsXLsDIyEh9LtVfk3FCNGXixImYOHEiKisra+yDTAghhJDnUZ9HmhLq85oGChfICy1evBgREREAgNWrV4PjOIwcORJ8Pl9dOCwtLTF16lQYGBhgzZo1WLJkCc6ePYtVq1bB0tISMTEx+Oqrr+Dk5KReaIUKDmlsJiYm1NwQQgghf4P6PNJUUZ+n32jNBfKckJAQzJkzB23atMHYsWOxZ88edO3aFZs2bVIn28++qCsqKnDx4kV88MEHSEpKgqmpKfh8PpRKJezs7BAeHo4ePXro+FERQgghhBDq8wghjYXCBVJDRUUFJk6ciMjISFy9ehWurq7YsGEDPv/8c7i6ur608ABAaWkp9u/fj4SEBOTn58PDwwNvvvlmjf1qCSGEEEKIblCfRwhpTBQukOdcunQJcXFxWLJkCQAgOzsb3333HbZu3frCwgM8PceOx6P1QQkhhBBC9Bn1eYSQxkLhAnkhuVwOQ0ND9b9zcnLw7bffvrDwVCsuLoalpWWNfZDpfChCCCGEEP1CfR4hpDFQBEleqLrgVGdPjo6OmDdvHoKCgnDr1i2sXLkSkZGR6uvv27cPq1evxv3799WFhgoOIYQQQoj+oT6PENIYaOYCqZNnk+3u3bsjODgY6enpCAoKgpmZGc6fP4+WLVvqepiEEEIIIaSOqM8jhDQEhQukzrKysrB3715s2rQJLi4uyM7OBp/Px5kzZ9T7HDcnKpWKzjMkhBBCyCuB+jxCSH3RK4nUiVKphIuLC+bOnYvx48fj3r17MDQ0RFxcXLMrODExMQAAHo8HlUql28EQQgghhDQy6vMIIQ1B4QKpk+qFfY4fP47Y2FhYW1sjLi4Obm5uOh6ZZk2YMAG+vr7Yt28fACo8hBBCCGn+qM8jhDSEga4HQJqeiIgIrFixAqWlpbh06RJcXV11PSSNWrJkCSQSCTiOw4oVK8Dn8zFlyhR14aGpc4QQQghprqjPoz6PkPqiVw+ps27dusHT0xOXLl1qdkm2WCzG999/j379+mHDhg3IysrC4sWL8dtvvwGgZJsQQgghzRv1edTnEVJfNHOB1Fm7du0gFothZGSk66FoVHFxMU6ePInS0lL8+9//Rv/+/WFra4v3338fS5YsAQC89dZblGwTQgghpNmiPo/6PELqi8IFUi/NreAAQIsWLTBgwAAMGTIE/fv3h1KpxPz588Hj8TB//vwXFh6O49T7PDPGaM9nQgghhDR51OdRn0dIfdBWlIQ8Q6lUQiaTwdTUtMbPv/vuO8yfPx8CgQBffvkl3nrrrRceT0k3IYQQQoh+oj6PkMZFrw7yyns2X+Pz+c8VHAB499138Z///AdSqRRLlixRry4MAF9//TUmT54MAFRwCCGEEEL0CPV5hGgPzVwgr6zr16/Dzc0NhoaGtT6mOtl2dHTE9u3bwXEcli1bhszMTNy/fx/t2rVrvAETQgghhJBaoT6PEO2jcIG8knx8fJCRkYHt27dj1KhR6n2da+PHH3/EO++8A1tbW5SXl8PExARnzpxBjx49GnHEhBBCCCGkNqjPI0Q3aG4PeeUsXrwYERERSE5OxurVqxEdHQ2lUvmPx1Vf5+2338asWbOQn58PU1NTxMbGUsEhhBBCCNED1OcRojsULpBXSkhICH788Ue4ublh8eLFSE5OxieffIKoqKh/LDzVqfdPP/2EyMhIWFlZIS4urtntAU0IIYQQ0hRRn0eIblG4QF4ZFRUV2Lt3L6qqqrB//358/vnnWLp0KW7duoWVK1fWqvDExMRgwYIFKCwsRGxsLFxdXbU0ekIIIYQQ8jLU5xGiexQukFeGqakp1qxZg02bNsHNzQ08Hg/z5s1DUFDQSwvPX5ckad26NSZNmkRT5AghhBBC9Aj1eYToHi3oSF45crm8xsrBOTk5+Pbbb7F161a4urpi06ZNzy3+U1JSAgsLCzDGIJfLYWRkpIuhE0IIIYSQv0F9HiG6QzMXyCunuuBU52qOjo7PJduRkZHq6+/btw+rVq3CvXv3wHEcFRxCCCGEED1FfR4hukMzFwj5f88m2927d0dwcDDS09MRFBQEMzMznD9/Hi1bttT1MAkhhBBCSB1Rn0dI46NwgZBnZGVlYe/evdi0aRNcXFyQnZ0NPp+PM2fOoGfPnroeHiGEEEIIqSfq8whpXBQuEPL/lEol+Hw+cnNz8d5770EikcDGxgZnzpyhbYgIIYQQQpow6vMIaXwGuh4AIfqiemGf48ePIzY2FtbW1oiLi6NtiAghhBBCmjjq8whpfDRzgZBnRERE4J133kFBQQEuXbpESTYhhBBCSDNBfR4hjYt2iyDkGd26dYOnpycVHEIIIYSQZob6PEIaF81cIOQvZDIZbUNECCGEENIMUZ9HSOOhcIEQQgghhBBCCCENQqdFEEIIIYQQQgghpEEoXCCEEEIIIYQQQkiDULhACCGEEEIIIYSQBqFwgRBCCCGEEEIIIQ1C4QIhhBBCCCGEEEIahMIFQgghhBBCCCGENAiFC4QQQgghhBBCCGkQChcIIYQQQgghhBDSIBQuEEIIIYQQQgghpEEoXCCEEEIIIYQQQkiDULhACCGEEEIIIYSQBvk/EKG0fWs51o0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_city(rho_AB.data, title='Density Matrix')" ] }, { "cell_type": "markdown", "id": "9f2a7e0e-a52f-462a-bff8-9bb89af27cb4", "metadata": {}, "source": [ "## Creando circuitos básicos\n", "\n", "En este apartado vamos a iniciar a crear un circuito muy básico con qiskit a fin de que el lector vaya tomando contacto con esta posibilidad tan importante que ofrece qiskit.\n", "\n", "Comenzamos cargando algunas librerías necesaria" ] }, { "cell_type": "code", "execution_count": 22, "id": "d3391405-da69-416b-8234-59e32450bf30", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qiskit import *\n", "\n", "# Creamos un circuito de dos qubits\n", "circ = QuantumCircuit(2)" ] }, { "cell_type": "code", "execution_count": 23, "id": "6f1e7f26-9821-4e1f-b259-bcbc967b11cf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Le añadimos una puerta de Hadamard y otra CNOT\n", "circ.h(0)\n", "circ.cx(0,1)" ] }, { "cell_type": "markdown", "id": "0cc9a959-4078-4c97-a9c6-2c35a99e19ef", "metadata": {}, "source": [ "### Visualizando circuitos\n", "\n", "Utilizaremos matplotlib para ver el circuito que acabamos de crear" ] }, { "cell_type": "code", "execution_count": 24, "id": "49612331-83fb-4054-9946-afa957e4f23d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ.draw('mpl')" ] }, { "cell_type": "markdown", "id": "20487392-2d92-4521-906f-c45ca77e5ce0", "metadata": {}, "source": [ "El circuito anterior, nos va a generar un estado cuánticoigual a \n", "\n", "$$\\vert\\psi\\rangle=(\\vert00\\rangle+\\vert11\\rangle)/\\sqrt{2}.$$\n", "\n", "Veámoslo con las siguientes lineas de código" ] }, { "cell_type": "code", "execution_count": 25, "id": "12a32250-23ee-4b32-8037-6410ea07a4ba", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{\\sqrt{2}}{2} |00\\rangle+\\frac{\\sqrt{2}}{2} |11\\rangle$$" ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.quantum_info import Statevector\n", "\n", "state = Statevector.from_int(0,2**2)\n", "\n", "state = state.evolve(circ)\n", "state.draw('latex')" ] }, { "cell_type": "code", "execution_count": 26, "id": "145d80bb-afb7-49a3-add2-b6dfb60e5647", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\n", "\\begin{bmatrix}\n", "\\frac{\\sqrt{2}}{2} & 0 & 0 & \\frac{\\sqrt{2}}{2} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Otra forma alternativa de representación las amplitudes\n", "from qiskit.visualization import array_to_latex\n", "array_to_latex(state)\n" ] }, { "cell_type": "markdown", "id": "760ef0ee-dc28-4af2-8dcf-fae8d7d93fd2", "metadata": {}, "source": [ "Qiskit nos permite hacer representaciones gráficas de los qubits, a continuación mostramos dos de ellas. La primera es la representación sobre una esfera de Bloch y la segunda la denominada *hinton*" ] }, { "cell_type": "code", "execution_count": 27, "id": "dc29cd68-257a-431d-8565-3763c926bae3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state.draw('qsphere')" ] }, { "cell_type": "code", "execution_count": 28, "id": "7c9611c8-aa2c-4fc6-a96a-57fb751540f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state.draw('hinton')" ] }, { "cell_type": "markdown", "id": "9e9d2451-588c-44e9-b9ec-6ace44125a4a", "metadata": {}, "source": [ "Igualmente se puede obtener la matriz unitaria de la composición anterior, de la siguiente manera" ] }, { "cell_type": "code", "execution_count": 29, "id": "dd98101a-2e23-4b2d-b6e0-af3518676d38", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.70710678+0.j, 0.70710678+0.j, 0. +0.j,\n", " 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j,\n", " -0.70710678+0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j,\n", " 0.70710678+0.j],\n", " [ 0.70710678+0.j, -0.70710678+0.j, 0. +0.j,\n", " 0. +0.j]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.quantum_info import Operator\n", "\n", "U = Operator(circ)\n", "\n", "U.data" ] }, { "cell_type": "markdown", "id": "287b87dc-c078-4986-aa89-5e92493e9a78", "metadata": {}, "source": [ "### qiskit Aer\n", "\n", "Qiskit Aer es un paquete para simular circuitos cuánticos y contiene muchos *backends* para hacer este tipo de simulaciones. Pero hay uno básico que viene con la distribución de Terra denominado *BasicAer* que vamos a utilizar a continuación para calcular el vector de estado o la matriz unitaria.\n", "\n", "#### Backend del vector de estado\n", "\n", "Veamos esta forma de conseguir el vector de estado de circuito anterior." ] }, { "cell_type": "code", "execution_count": 30, "id": "04668ef7-81a0-453a-a701-d8d51acc1994", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Statevector([0.71+0.j, 0. +0.j, 0. +0.j, 0.71+0.j],\n", " dims=(2, 2))\n" ] } ], "source": [ "from qiskit import Aer\n", "\n", "backend = Aer.get_backend('statevector_simulator')\n", "job=backend.run(circ)\n", "result = job.result()\n", "vectorEstado = result.get_statevector(circ, decimals=2)\n", "print(vectorEstado)" ] }, { "cell_type": "code", "execution_count": 31, "id": "3c9b992a-c3ab-4c4e-a42d-c2e00e6a33a1", "metadata": {}, "outputs": [ { "data": { "image/png": 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TU1PYu3cvWltbc+p8Mg06AmOEyWwCzIAg8OASUXDxCBLxCHiu9Ekd47EgFiZeRiSwlPE9lTIOVVVVoaGhAQ0NDQCAc+fOwWQyIRqNYnh4GLFYDE6nU0oO6XQ6t4gE2w1CALZY60hsIAiCIIjKotgwiM2wLKu5hbvaKeR606YSUS5IXLhKSU7ms7mmcSQSQV9fH2KxGE6fPg2Hw5Hz92YSF5LHMYZhoTeYoTeYYcLPxIafCQ1cIrwlXKFYgquXsTD5KvhEdhGjUgdLnU4Hl8uF5uZmCIKAcDgMv98Pv9+Pubk5JBIJOJ1OKYzCbrfnLDbE43HEYjHpdRIbCIIgCKIyyBTuWgyV4lzQEunCIvIlV7GB5nlEsZC4cBWyWcVOFhYWFxcxMDCAuro6HD9+PCVxYC7kIi5sfY2F3miB3mgBsFHFgfuZ0JCIRyDwibzaICIIPHyX++Cb78/x/QUdpuwkDzoMw8BisUilKQVBQCgUksSGmZkZ8DyfIjbYbLacxAZRjBKdDZsHITGWjyAIgiCI8pEc7goU71ZIphLEhUpoY7nZblMJIAcrURgkLlxlZErmw/M8RkZGMDs7i0OHDqGpqamg788oLuTxHSyrA2uywmCy/qzRcfgXR8HFI9AZLdAbzNt+RyIexsLEKwivL+R83EodiLK1m2EYWK1WWK1WtLS0QBAEBINBSWyYnp6GIAhSCIUoNqRLHJScxyFZbEjnbEiO5SMIgiAIQhmSS0wCqRtIclDswp3mBfkjh3NhO8jBSsgFiQtXCdmS+QSDQfT19QEArr/+elgsloKPI9bg3UxRfSJrgLvhkPSf4fUrCAcWwSfi0Jus0OlNKW8PrS1gYfIVcPFwXoepUG0BQO6DNcMwsNlssNls2LFjBwRBQCAQkMSGqakpMAwjlbx0u92wWq0FiQ0sy26J5aNJBUEQBEHIT/I4LGcYxGbIFXB1QA5WolBIXLgKyJbM5/LlyxgaGsKOHTuwd+/eohXITIMOK2NfY7bXw2zfqJzA8xzCa/OIBL0QBA7BlVl4L/eisMoPlTlYFruDYLfbYbfb0draCp7nsb6+Dr/fD6/Xi4mJCeh0OsnV4HK5YLFYChYbNiveNAgRBEEQRHHInbQxG5UgLlRCG/NBCefCduSzqUQO1qsbEhc0Ds/ziMViW1TsRCKBoaEhLC0t4ejRo6itrZXleJlzLgjILzgiN1hWB6urBVZXCwDg8sizKFQkqORhSK7Om2VZOJ1OOJ1OABv3z9raGvx+P65cuYKxsTHo9foUscFsNmcVG8T7QbwXxdrLJDYQBEEQRHFkCnctFQzDpHWo5vN5In/Udt3IwUpkgsQFjSKGQYjVIJIHnNXVVfT19aGqqgrXX389qqqqZDtuIQkdZaWIA1Wqyl3KdrMsC5fLBZfLhfb2dnAcJ4kN8/PzGBkZgdFolMQGt9u95X4S7zsSGwiCIAhCHrKFu5aSSnAFaG3uoPbrDWTeVCIH69UHiQsahOd5JBKJLfY4QRAwPT2NsbExdHR0oKOjQ/aHWomwiG1aUPAnK6DvTouSdrnkEAlgo8zV6uoq/H4/Ll++jAsXLsBkMqWIDSZTak6MdGKD+C8ajSIWi2F1dRUsy6K6upoGIYIgCIJIQskwiM2wLFsRi91KaGOuqCEsIh9y2VQKBALgeR61tbU0z9MYJC5oCFHFTs7qKj6ksVgMAwMDWF9fx4kTJ6TFodyUW1xgihIXKncgKldnrNPp4PF44PF4AGyE26ysrGBlZQUzMzMYGhqCxWJJSRBpNBpTviP5PtXpdBAEAUtLS9DpdLDZbCnOBtFap9frFZ1MEQRBEIQaSCQSKaUClR4Hi3UuiJsJRH5U8nwnndiwsrKCUCgEh8ORtfRlJZ/31QqJCxpBrGk8MzODmZkZnD59WnogfT4f+vr64HK5cP3118NgMJSsHZli8RilKtUUFRYhYzsURE2DtF6vR01NDWpqagAA8XgcKysrUtnLwcFBWK3WlJwNm+/H5EHIYDCkOBsikYj0HlFsEAchEhsIgiAIrSLO865cuYLh4WG8+93vLsuYVwlhEVpDa9dbvIfSzfNEBytAYkOlQuKCBkhO5iM+sOIif2JiAhcvXsS+ffuwY8cORRL9VGpYRCWndFRrZ2swGFBbWyslDI3FYpLYMDk5iWAwCJvNliI26PV68DwvnVM6Z0M6sWFzhmISGwiCIAgtkBzumjzPKweVIC5ocezX2jnlOs+LRqNbHKw0z1M3JC5UMOmS+YgPZTgcRn9/P2KxGDo7O2G32xVpU6ZYPMXCIq5S50KldK5GoxF1dXWoq6sDAESjUUlsGBsbQyQSgc1mkyZQiUQCen1qN5VpEOJ5nsQGgiAIQjMkZ+AXx3pRgC8XlSAuANra7dfSuYiIyebTkeumEokN6oTEhQolUzIflmURi8XwxhtvoL6+HsePH9+yOCsllVwtolKp5EHHZDKhvr4e9fX1AIBIJIKVlRVMTk5iaWkJCwsLcDgcUr4Gp9OZUvoIyC42RKNRRCIRsCy7xV5HgxBBEAShVsQwiEQiAeDnY12xpSCLpVLEBS1RSZtIucLz/Jb5XCbIwVpZkLhQgYjZVjeXHuI4DjMzM4hEIjhy5AgaGxsVb1vGsAiFci4Uk9CRr+DBUiudZ1VVFRoaGrC4uAiPx4Pq6mr4/X6srKxgeHgYsVgMTqdTCqFwOp1blO/kQQj4efIojuPAcVzG0pc0CBEEQRBqYHO4a/I4x7KsKsQFNS941dquYtDaOWVzLmxHLg5W2lQqHyQuVBDiAkm0xyU/JIFAAH19feB5HkajsSzCAqCCnAvFhEXwlSkuaHEHQYzFM5vNMJvNaGpqksJ9/H6/VPoykUhIYoPb7Ybdbs8oNoh/TxYbEomE9PpmxXuzSEEQBEEQpSRduOvmcajcpSDF9qhZXAC0NTfS0rmIJOdcKJZMYoO4qUQOVmUhcaFCyBQGIQgC5ubmMDQ0hNbWVtTW1qKvr69s7Sy7uFBMKUoZW6E0WuscxUlVMgzDwGKxwGKxoLm5GYIgIBQKSWLDzMwMeJ5PERtsNlvOYkMikUA8Hs8oNhSqsBMEQRDEdmSa521GdC6Ua3GfPHYWgtbmK0qgdiGnEIpxLmxHtk2lzQ7W5BLntKkkDyQuVACiW2Gzip1IJDA0NITl5WUcPXoUtbW1WFtbU4VdLploNIpgMALAqcjxCyUYCCIUCsFsNldU56LVQWe7c2IYBlarFVarFS0tLRAEAcFgUBIbpqenIQiClK9BFBs2f28+YoM4CJHYQBAEQchFpnDXdJTbOZB8fLWitTmRFkm3iVQqyMGqLCQuqJjNyXySB5zV1VX09fXBbDaju7sbVVVV0nvKKS5sPr7X60VfXx90bHfZ2pQr4XAYP/3pT2E0GuHxeKQFqclkKnfTsqLmAb5QChl0GIaBzWaDzWbDjh07IAgC1tfXpWoUU1NTYBhGytfgdrthtVrzFhuA9LWXSWwgCIIg8iFbuGsmxLFGycVZMpUgLgDqb18+XK2bSKWCNpVKC4kLKkVM5iMu1MUbXRAETE9PY2xsDB0dHejo6Eh5ONWSRVgQBExMTGBqagr79+/HYNCG+TVFGlDwR6urq3HDDTdIi9GZmRkMDQ3BarVKQoPb7Va0+kauaHHQKbYTZxgGDocDDocDra2t4Hke6+vr8Pv9WF5exsTEBHQ6nfS7ulwuWCyWnMWGeDyOWCwGgMQGgiAIIj9yDYPYTLFhCcVSrLigtfmKUmjtupVLHEsHiQ3yor5V0lVOck3jzfa4WCyGgYEBrK+v48SJE3C73Vs+Lyb6Kbdd7p133kE4HMbp06fhcDig61fo+EXlXBCg0+lQXV2N6upqAEA8Hpds9hMTEwiHw7Db7dKCNF1pRKXRoqItZ6IfEZZl4XQ64XQ60dbWBp7nsba2Br/fjytXrmBsbAx6vT5FbEgXIpNuEBKfWdHZwDBMitggxvIRBEEQRLJbIV/rdbJzoRyIbS3nRtbVhpZcGCKlmOfJBTlYi4PEBRWRTcX2er3o7++Hy+XC9ddfD4PBkPY7kh+Ecjy0q6urAAC9Xo/u7m5pl78iqkWk6bsNBgPq6upQV1cHAIhEIpLYMDQ0lFKtwOPxwG63q7azrCRKmehHhGVZuFwuuFwutLe3g+M4SWyYn5/HyMgIjEZjimtFDD9KRlSzk9suig2xWEwapEhsIAiCuLrZHO5aSEx3uRf3coRFlHr80+L4qrVzUmKeJxfbOVjTzfOuZrGBxAWVkFzTOFlU4HkeExMTuHjxIvbt24cdO3Zk7WDKFYsnCAImJycxMTEBADh8+HBK+IBSTSnKuZDDQFlVVYXGxkY0NjZuqVZw6dIlAJDi+T0eT1qbvdyQc0EekkMkgI2dpdXVVans5YULF2AymVLEhnT5OLKJDcFgUHqW9Xp9ir1Oa78hQRAE8XM2h7sWOkdLDpMtB+U+fq6ovX35oKVzEVGzc2E7sjlYY7EYxsbGsGvXLlRVVV2Vm0okLpSZbDWNw+Ew+vv7EYvF0NnZCbvdvu33lUPRjsVi6O/vRzAYxPHjx/H2229veY+uQp0L2Q+1tVrB5pj+ZJu9x+NJu/NdLFocdNSgaOt0Ong8Hng8HgAb1VlWVlawsrIi5eOwWCwpCSKNRuOW70kWG2KxGBYXF7Fv374UxTudve5qGYQIgiC0TLZw10Ipd/LuShAXtIQWN5HUMM+Ti+R5XiKRwMLCAnbt2pXR2ZBcjUKLkLhQRrKFQVy5cgXnz59HfX09Tpw4kXNcv9KxeH6/H319fXA6neju7s5ol1Ou/yjmQS1uoExOILhz507wPC/tfM/NzWFkZARVVVWS0OByudIuRgs9tpZQo6Kt1+tRU1ODmpoaABv5OMTkn9PT0xgcHExJ/ulyubaEL4kTS/F5Fp8TsQxZcu1lEhsIgiAqm0KTNm4HiQvZ0eJ4qbVzUuM8Tw7E59JgMGR0NojzvM0JIrVyPUhcKBNiMp/NKjbHcRgZGcHc3BwOHTqExsbGvL5XqRJBgiDg4sWLGB8fx549e7Bz586UShWbj69jlRmEinkw5b5kLMtKC82Ojg5p51ssixgMBmGz2SSxwel0FlSJQs0DfKFUgqJtMBhQW1uL2tpaABuuBPH3nZiYQCgUkn5fUWwQw55ExPuVxAaCIAhtkSncVQ5IXNgetbcvH7R0LiKVMM8rBI7jtuRSySU3l5bmeSQuKExyMp/NNY0DgQD6+vrAsiy6u7thsVjy/n7xBi3loJNcteLkyZNwuVwpxwe2OicU6z+KEhdK23lv3vmOxWLw+/3w+XwYGRlBNBqFw+GQxAaHw5Fzx1upHVAmKlHRNhqNKck/o9GoJDaMjY0hEonAbDaD53l4vd60YlI2sSEajWYtfVlp14sgCEKLZAt3lYtyL+7LffyrEa2N8WoqRSknuYiJyWKDFjeVSFxQEJ7nkUgkttjjBEHA5cuXMTw8jNbWVuzZs6eoBy7ZQSA3Kysr6O3thcPhyFq1YotzQbHnoZhSlMpiNBpRX1+P+vp6ABs5Nnw+n5RAkOd5OJ1OeDweuN1u2Gy2tB2L1mLxxCy8lT7omEymlN83EolgZmZGqkQhiklivoZ0ZU2TxQadTiddG0EQEI1GUwYh0Vqn1+tLMpklCIIgslOqMIjNkHMhO1ob/9R8rQtFa3NXkXxFEy06WElcUIBk+8vmmsaJRAKDg4Pwer04evSoZLEuhlIMOoIgYHp6GmNjY9i9ezfa2trS3tSZsgjnmDKiaEpdLaKUmM1mNDc3o7m5GYIgIBgMSmLD1NRUSpiF2+2G2WxW/QBfCOL5lFtciMQE/MN3r8BlDuPmU7VobbQV9X1VVVVwOp1YXV3FiRMnEA6H4ff7sbKyguHhYcRiMamsqcvlgtPp3HINkvuOzWJDJBKR3pMsNgSDQbhcrrJfT4IgCC2TKdy1FKhBXCjn8XNBS3MjLS7EtexcyDVPXjrSiQ3Jm0rpHKyBQAAul6uo48oJiQslZrOKnbw4WF1dRV9fH8xmM66//vq0Ze0KgWVZWTvVeDyO8+fPS4sisVRfJtKKCxURFiFjO4qEYRjYbDbYbDa0traC53msr6/D5/PhypUrGB0dhdFohMfjke4xrSBOWMo5kC6u8Hjwm0EEQwYABrw+EgESS6ixR3F4VxVuPl2Hhur8w5aSBx2z2Qyz2YympiYIgiCJDaJzJZFISGKD2+2G3W7PW2xYW1tDe3s7vF6vVPWCIAiCkI/kcFegdG6FZNQgLmhp8V4JaE1c0KJgAmzMYeVc5Geb54kO1h07duCdd97BwYMHZTtuMZC4UEIyJfNJToa4a9cutLe3qzbRz+rqKnp7e2Gz2dDd3Z1TdYN0g04lVItQ80DJsiycTiecTifa29vBcZwUzy8IAs6dO5dSqcDtdheUHFINlNu5MDrL48vfWUc8npD+xjAMYHDAGwFeGgRePB8Ewy2gzhHH0T1mvO90PdzO7cXBzQkdk7/fYrHAYrFIzpVQKCSJDTMzM1KYjPj72my2bcUG0c1gsxXnuiAIgiC2klxiEkjtg0tJuRf3cm9iEdnR4rXWsnOhlOe1eZ6XSCQQDodhtVpLdsx8qczVh8rJlswnFouhv78fwWBwSzJEuZDDriYIAi5duoTR0dG8BZByOhe0qIKmQ6fTobq6GtXV1ZiZmcHx48cRiUSkSgXhcBh2u11aiKaL51cr5XQuvH6ewz8/s7bt88MwLKB3YjEEPNsHPNO7BpZbQ4MrgWP7rXjvqTo4rFuFuFwVbYZhYLVaYbVa0dLSIoXJiGLD9PQ0BEGQ8jVkyskRDAZhMpkqVmgiCIJQI8nhrkqEQWyGnAvZ0dpcUGu7/OLOu5bOSURp0SQQCAAA7Ha7YsfcDppxyky2ZD5erxf9/f1wu93o7u7OmAyxWIoddOLxOAYHB+H3+3MKg9hMpYZFKJ7RUSYEQYDRaITD4ZAqFYhCg9/vx/DwMOLx+LYWe7Ug3jtKDzrffS2Bp99cQyE3AsOwEPQuzAeAH74D/Pt/rEAnrKG5msPJA3bceKIWlipDwYp2cpjMjh07IAgC1tfXU0qbMgwj5Wtwu92wWCwIBAKwWq0FXcu3334bDzzwAN544w3E43EcPnwYd999Nz7+8Y/n9PlHH30Ud955Z8bXX3zxRbznPe/Ju10EQRDlRKmkjdkgcSE3tLSA1cp5AOV3qJaSYnMu5EswGASgLocqiQsyImb23Kxi8zyP8fFxTE9PY//+/WhpaSl5op9CO/21tTX09vbCYrHg+uuvzykMIpfj61hlBqGiEjpWoLqQ6XeuqqpCY2MjGhsbt1jsL126BEEQUkIoCl2AlgKxDKVS7REE4B9+EEPPyLps38mwOvBwY2YFmHkT+M5rPhiwhhpbEAd2CNi9h4PRUFzCH4fDAYfDkZKTw+/3Y3l5GQMDA/jt3/5t7Ny5EzzPY2RkBPv27cv5mr744os4c+YMqqqqcPvtt8Nut+PJJ5/EbbfdhpmZGdxzzz05t/WjH/0ojh49uuXvbW1tOX8HQRCEGsgU7qo0JC5kRy3zGblQ87UuBDXk1ioVcudc2I5QKKQ6h6p6WlLBiGEQExMTiMVi2LNnj/TAhMNh9PX1IZFIoLOzUxHbSiGDjiAImJmZwcjICDo6OtDR0VHwQ58uLENfAc6FSu67t6unu9liLy5EvV4vJiYmoNfrt1SiKBdKlqGMJwR84V8jmFkIlfQ4rE4PDh5cCXtwZRR4YXgRJnYdbfVA92EXuo7UQFeEvSc5J0dbWxsOHTqEr371q3jkkUcwPDyMo0ePorq6GjfddBN+67d+C93d3Rm/K5FI4K677gLLsnjllVckYeD+++/HqVOncN999+HWW2/Fzp07c2rbxz72Mdxxxx0FnxtBEES5Eed5MzMz8Pv9OHjwYFkXRuWu1qB2cUGEnAvqROvOBaXDItS0QQiQuFA0PM8jkUhIORYikYj0A1+5cgXnz59HfX09Dhw4oJiSle+gI5bD9Pl8OHbsGKqrq4s+fmUmdJSxGQpRSAhB8q63uLO9uroKv9+Pubk5jIyMoKqqCm63Gx6PBy6XqyAHS6GIzoVSsxYS8Ll/DmF1PVLyY22G1RkRRzXGFoGxnwCPPLMAM7OM++9qQ121o+jvNxqNuOWWW7C+vo6FhQW89tpreOutt/Diiy9KZYwy8cILL2BiYgJ33nlniuPA6XTivvvuwx133IHHHnsM999/f9HtJAiCUDvJYRCJRAKhUKjsE/lyJ1SsFHFBK2jtWmvduVAOcUFNkLhQIMnJfERlVKfTged5cByHkZERzM3N4ZprrkFDQ4OibcvHubC+vo6enh6YzWZ0d3fLUg4z3aCjV8ghVFRHVYGdtxwDDsuykmOho6MDiUQiJZY/GAzCZrNJYoPT6Syp/UoJ58LMooAvfmsd0ag6Sngm4hFcGH0T0dgOWb9X/O2qqqrwnve8J6ccBy+99BIA4JZbbtny2pkzZwAAL7/8cs5t6OnpgdfrRSKRQFtbG973vvcVLWASBEEoAcdxKUkb9Xp9WR0DImoIi1DDdciEFhetWjqncuXWUgKlcy6EQqG0Cb3LCYkLBbC5prEYH86yLKLRKN58803odDp0d3fDYrEo3r5cFG1BEDA7O4sLFy6gvb0du3btku3GLGtCx6JyLlQucnYqer0eNTU1qKmpAbBR4cTv98Pn82FkZATRaBQOh0MSGxwOh6xiQKmdCz3jPL76/TUpGVe5CQcWMTf6AnguCqe9StbvDgaDefdBY2NjAIA9e/Zsea2hoQE2m016Ty78zd/8Tcp/m81mPPDAA/jMZz6TV7sIgiCUInmeJwre4jxPDYvqci/uybmgLFoK7wCwJTedluB5XtH8B4XM80oNiQt5kpzMRxxogI0Hf21tDX6/H+3t7dizZ0/ZYom2G/wSiQSGhoawvLwsSxjEZsrpXChCW6hIlBjcjUYj6uvrUV9fD2Ajj4goNly+fBk8z8PpdMLj8WQsiZgPpbSUPfM2hydfXlXNpCjgv4SFiVcgCBtCh90qv7iQbwbh1dVVABthEOlwOBzSe7LR3t6Ov/3bv8WZM2fQ0tICn8+HF154Affeey8++9nPwmKx4H/8j/+RV9sIgiBKTXK4K5BaDYJlWVUI0+UWOcodlpErldDGXNDKeYhoTSxJhuM4RUOJA4GAqipFACQu5IyYzCeRSGxR3MTSjcvLy7DZbNi3b19Z25pN0V5fX0dvby9MJhO6u7tRVSXvYkY8/hbngkJ9SFHVIiq481aykzabzTCbzWhqaoIgCAgGg5LYMDU1BZZl4XK5JLHBbDbn1b5ShUU89mwcr/Wtyf69hbKyOIKl6Z8i2TMj9+9YiLggFzfeeCNuvPFG6b+bm5vxq7/6qzh27BhOnDiBP/7jP8anPvUpVWU4Jgji6iVduOvmPlkMfy035V7ck3NBebS0GFc6L4GSKF0tIhgMUs6FSiRbTePV1VWpdOP+/ftx6dKlcjYVQOZB5/LlyxgaGkJbWxt27dpVsgc7rbigmHPh6kzoWC4YhoHNZoPNZsOOHTukkog+nw9XrlzB6OgojEajFELhdru3zetRirCIv/8+h54R9QgLy7Pn4J8fSPlbKeYNhQw6omMhkzthbW0Nbre74DYdOnQI73rXu/D8889jeHgYhw8fLvi7CIIg5CBTuOtmyu0YSG5HOR0UahcXtLQQB8o/15MbrTsXlBROxJwLaoLEhW3geR6xWGyLW0EQBFy8eBHj4+PYtWsX2tvbsby8rJpBJ7kdHMdhaGgIi4uLOHr0KGpra0t6/PRhEcp0jEU5Fyo464JaOunkkojt7e3gOA6rq6vw+XyYmZnB0NAQLBaLJDS4XC4YDIaU7yiFc2Ha54TNZUciEQEX3/jH88oncxR4HlcuvoF178SW10rxGwaDQTQ1NeX1GTHXwtjYGI4fP57y2sLCAgKBAE6dOlVUu8R8HsFgsKjvIQiCKJZM4a7p0Ol0qgiLoJwLuVEJbcwVtczz5ICcC/JB1SIqCDEMQrTHJQsL0WgUAwMDCAaDOHnyJFwuF4DyK8kiyeJCIBBAb28vDAYDrr/++pKEQWQ7vohiCR2vUueCWgcdnU4Hj8cDj8cDYCOEaGVlBT6fDxMTEwiFQrDb7ZLY4HQ6S+Jc4AWAYXUwGK0wGDc6YZ5PgItHkIhHwCXCEPjSPrs8F8f8+EsIrc2lfV1XgoG2kLCIG2+8EV/4whfw7LPP4vbbb0957ZlnnpHeUygcx+Gdd94BAOzcubPg7yEIgiiGbOGumVCTc6GSxQW1zlnUipZEEkC5kuPlQGnnAoVFVAjZwiCWl5cxMDAAt9uN7u7ulF1XtcTiiYr23NwcBgcH0draqmiCyXI6F4qqFlGBnXeltdlgMKC2tlZyz0SjUfh8Pvj9fgwPDyMej6Oqqgo8z2N1dRV2u12W+zbdZWJZPViTDQbTxuKb5+KS0MDFIxAE+Z7lRDyMudGfIBryZnyPrgSJSUTxJh9uvvlmdHR04PHHH8enP/1pHD16FMBGmMSDDz4Io9GIT3ziE9L75+fnsbq6isbGxpQkkGfPnt3ifOA4Dp/97GcxPj6Om266CY2NjYWfHEEQRIFkm+dlQ9xEKretu9JzLpR6Y0RLC1e1byIVghIlx8tFOXIuNDc3K3a8XCBxYRObaxqLDzPP8xgfH8f09DT279+PlpaWLQ96uZXkZJaXlzE3N6dIGMRmylktQkudbz5U6nmbTCY0NjaisbERgiAgHA5jcnISfr8ffX19EAQBbrdb+me1Wgs611ymQKzOAKPOAMAOQRAg8DH4r4xA4BPQm2zQ6QrL/huLrGFu9HnEo+tZ36crgb0nEAjkXaJIr9fj4YcfxpkzZ3DDDTfg9ttvh91ux5NPPonp6Wk89NBDaGtrk95/77334rHHHsMjjzyCO+64Q/r7iRMncO211+Laa69Fc3MzfD4fXn75ZYyOjqKlpQUPP/ywTGdJEASRO5nCXXNBXDSoQVwot3NBLfPdbFTaBkw2KnWelw5yLshHKBQi54Ja2ZzMJ3nACYfD6OvrQyKRQFdXV0absRpi8YLBIObn5wEA3d3dMJvNirchrbhQCWERMjZDKbQ2cFosFrhcLvA8j8OHD2N9fR1+vx9erxcTExPQ6/UpYkOu93e+l4lhGDA6E6qbrgUA8ByH0NocoiEvBEGAocoOlt2++4wEljE39jy4RHTb9+pLoHQX4lwAgJtuugmvvfYaHnjgATzxxBOIx+M4fPgwvvjFL+K2227L6TvuuecevPXWW3juuefg8/lgNBqxe/du/OEf/iHuvvvuopJCEgRB5Eu2cNdcERcN5Y4ZL/fivlJyLmgBLV5nci7IRzAYLGieV0pIXMDPk/mIHXVyluCFhQWcP38ejY2N2L9/f9YbRlSSy6Voz8/P4/z587Db7VK5wHJQzmoRxSR0rMSkC1q0y4mKNsMwcDgccDgc2LlzpxQq4ff7MT8/j5GREVRVVaWIDaWqLczqdLC5d8Dm3gEA4BJxhFZnEQ2vgGEYGEwOMJsGyuDKLOYnXobAJ3I6hqEEClwxiX5OnTqFp59+etv3Pfroo3j00Ue3/P2hhx4q6LgEQRByU2gYxGbEOSDHcWUto1tu50K5wzK2Q0tzIi3P87SI0s4FSuioMpJrGm+2x3EchwsXLmB+fh7XXHMNGhoatv0+cdBRWrUS27qwsIAjR44gGAxmLCOnBJvFBZ7nMT01BeCgEkcv+JPBYAjLy8twu92K/n7ForUOOtOOEMuykogAAIlEAisrK/D7/Ziensbg4CBsNpv0HpfLVbLJn05vgL26HaJWnIiHEVyZRTy6DobVI7y+gMWLbyEfP4zBIG9bBUEo2LlAEAShFZLdCplKTOZKcqhsOSn34p6cC8qjpbkeORfkQ43zvKtWXMimYosVFvR6Pbq7u3OOWU62yyl1Y4VCIfT29oJhGHR1dcFiseDixYuqGXQikQh6e3uxHlboViui8+UFHqOjo4hGo3A6nVKVA7vdrtpOXYuDe67OH71ej5qaGqmsYSwWg9/vh9/vl35Hh8MBh9MN4EhJ26w3mOGs3SP9d98LP0a+gTZGg/x9RjAYzDvnAkEQhBbYHO5arLAgfocaKoOV27lQjLig5HxKC3MkLZzDZsodVlQqxE1rpatFqG2ed1WKC8k1jZNFBUEQMDs7iwsXLmDnzp3YvXt3XjeI+F6O41KqSJQKMWSjubkZ+/btk46vlkHH6/Wir68PtbW12HfoIH5wQZGjF/xJi8WK7u5uhEIh+P1++Hw+XLp0CQDgdrulcolqe4jVKnwUSqEds9FoRH19Perr6wFs5Erx+/2YX1yTu4nbkmsoRDImo/zdsRpj8QiCIErN5nBXOSf7aqgMVuk5F7Q2b1ECLV2zcidELRWi6KjUBrMgCKqc511V4kK2msbxeByDg4Pw+/247rrrpN3QfBC/r9QdPs/zGBkZweXLl9OGbKhBXFheXsb4+LhUWSMUVaYTKaqz+tlAabFYYLFY0NzcDEEQsL6+Dp/PhytXrmB0dBQmk0lyNbjdbkWEpMxN1l4HLZddTsw7YrI3AWdlaFge8Fw878/ILS7E43HEYjHVDToEQRClIlu4q1yQc0H9YRFamhep+ToXiladC6UQM7cjGAxSzoVykS0MYmVlBX19fbBaN3auTSZTwccpdYcfCoWkEn2ZQjbKqWjH43H4/X4kEgmcOnVKqntfAsd3emQeUJKTCra1taXE+U9NTUkJNEWxwel0KtqpaHXQkXNiEIkpO4DxXP6uBQCoMskrUgUCAQBQ3aBDEARRCuRK2rgdanAuqCHnQrmvQS5oaY6kJcFEqwkdk/sepQiFQhmrGJaLq0JcEJP5bFaxBUHAxYsXMT4+jt27d6Otra3om72U5SivXLmCgYEBNDU1Yf/+/Rlv3nIp2uvr6+jp6YEgCGhpaZGEBaAyqkXkMgZtjvOPRqPw+Xzw+/0YHBxEIpGAy+WSxAar1VryDlRrHbQgCLJayqL5mwiKgucLO2BVlbziQjAYBADVDToEQRBykynctRSU2zWghjZUirigBbRYLUKrCR1L5ZbKRDweRzQaVZ1DVdPiQnIyn801jaPRKAYGBhAMBnHy5Em4XC5ZjlmKDp/nNxINzs7O4tChQ2hsbNy2DUqrtXNzcxgcHER7ezsikciWTkPHAhsJ7kr8wBXxQAt5JuADAJPJhMbGRjQ2NkqxT6LYMDk5Cb1eL+Vr8Hg8Rbli0rZZQ6q8iNyKdkxpcaFA54K5BOKC2WyuqMonBEEQ+ZAt3LVUqCEsotyLewqLUA41X+dC0bJzQck5l+hQVdsmkmbFBZ7nkUgk0trjlpeX0d/fD4/Hg+7ubllj5uUedMLhMHp7e8HzPLq6unKyOCupaPM8j+HhYSwsLODo0aOora3F0NBQGTvD0joXsh6ZYWCz2WCz2dDa2gqe57G6ugqfz4fLly9jeHgYVqtVEhvkKpWotQ5abkU7mlD2+hTqXLCYjbK2Q4zD09r9QRAEASgXBrEZCoso//FzpRLamCtaGsu17lxQCtGhqrbwV82JC8nJfDbXNOZ5HmNjY7h06RIOHDiA5uZm2R9WOQedxcVFDAwMoKGhAfv3789ZDVNK0RaFD0EQpDKY4vHL1aHLkdBRLliWhdvthtvtBvDzfBQ+ny+l5KUoNjgcjrzbr6WBU0T2nAtxZQdkoYBkjgBgrpJfXFBbZROCIAg5yBTuqgTlDklQQxvU7lzQElq8zuRckIdQKKRKh6qmxIXNKnaysCAmQuQ4Dl1dXSWzkMjR4SeLIIcOHUJTU5PibdiO5eVl9PX1ob6+HgcOHEi5scs76BQTFlFaDAYD6urqUFdXB2BDnPH5fPD5fJiZmQEASYzweDwwm805db5a66DlVrTjijsXCguLsFrkFRcCgQBsNpvm7g+CIK5eksNdAeXcCsmUMrdWrpC4kB0tjXtazbmgtgWxHCjtXAgEAqp0qGpGXMiWzGdhYQHnz59HU1MT9u3bV9IbutiwiEgkgt7eXiQSiYJFkFLa1QRBwOTkJCYnJ3HgwAG0tLRseU9ZYwGLeb4UHifNZjOam5u3lLxcXFzE2NhYTiUvtViKUm5FW/GEjgU6F2wWefNxqLE8EUEQRKEkl5gEUjeQlKTcC3uAci7kSiW0MRdonlcZKO1cUOs8r+LFhWzJfDiOw4ULF7CwsIBrrrkGDQ0NJW9PMWERS0tL6O/vR11dHQ4ePFjwDVqqgS8ej6O/vx+BQACnT5+Gw+HIePx4XOEV3c8oqlqEjO3Il80lLzmOw8rKCnw+35aSl263Gy6Xq2JiHvNFbuU3VpiRoGAKFRfs1ipZ2xEMBlWX5IcgCCJfksNdyxEGsRk1JHQUx8hybTBUirigBbR4nSnngjyoNbdWRYsL4m7vzMwMOjo6Ugac9fV19PX1Qa/Xo7u7G2azWZE2FWKX43ke4+PjmJ6exsGDB9Hc3FxUG0qhaK+traGnpwc2m23bJJiZBh0GCizgi6kWoaIOXKfTobq6GtXV1QA2qpuI+RqGhoakkpdmsxmCIGjKwSD3uSgdFiEUGBaxvr5RZcTpdMoyOFHOBYIgKh1BEBAKhTAxMYHdu3eXXVgA1JPQEdiYP5bDXl4J4kK57xM50dK5AMovwpWCnAsbVKy4wPM8YrEYIpEIpqamsHv3bgAbA9Hs7CwuXLiAnTt3SoNRvkRiAv7y/61gYX4W1+0x48PvbkZd9fYCRb6ugUgkgr6+PsRiMdlyQcjtXJidncXw8DA6OjrQ0dGxbSeXcdBRQF0oxrmgZkwmExoaGtDQ0CCVvPT7/bhy5QpisRhef/31kpa8VBL5nQsK51wo0LmgZ3kMDg5KwpH4exaaN4GcCwRBVDKiWyEej0vzPDUsstTkXCinuFDMPFMpcULtAkguaGnzSESL5wQo/zyKubXURsWJC2IYhFgNwmAwgOM4KcnP4OAg/H4/jh07Ju365svobAJ/+cQqwpEYgBq8NAi8eN4HHb+GnXU8bjzmwQ3H66HTbV0A5TPoeL1e9PX1oaamBsePH5elLKHYBjl2szmOw/DwMBYXF/O6nuRcKC3JJS+tVisuXLiAAwcOwO/3SyUvLRaLJDTIVfJSKWRP6KjwHLDQhI5Hrz2E5gaXJBz5/X5cvHgRDMMUlOgzFAqpctAhCILIxuZwV9EpqfSuYCZ0Ol3ZQj9FksWFclAJzgWtoMXrrGXnQjnCItRG5aw4sHEzJhKJlJrG4qLJ5/Ph/PnzsFqt6O7uLnjn9tsvRfHDN1YgCKkdNsOw4HUuTHmBqeeArz89DbspiMMdRnz43Y1obbQDyM0uJwgCxsfHcfHixZKUxJQjFi8UCqG3txcMw6C7uxtVVbnHg1O1CGVJLnnZ0dEhlbz0+/0YGxtDJBKBw+GQxAa73a7qTl3uRD+KV4so0LngtJtThKMdO3aA53msr6/D7/dLiT6NRmOK2JCprxOzCBMEQVQKm6t+JY9ViUQCRqO8VXUKQS0JHYHyLTwrIeeTlnbGtXQugHYTOirtXAiFQqqc51WEuJCczEdcMIs3pTjwnD17Fnv27EFbW1tBN2woIuALjwdwaT6Q0/tZfRWCXBXeGgPeHF0Hw11GsyeB3Q0RHN+XOXwiGo2iv78fkUgEnZ2dsNvtebd1O8TzL1QZFBNLNjY2Yv/+/Xl/R0bnghJhEcV0ViofKNOR7jpnKnnp9/ulkpcul0sSG3LdCVcKuZ0LCaWdC4VWi7BuFQlYloXT6YTT6ZQSfa6ursLv90vhShaLRRIaXC6XtMsXDAYLdm+9/fbbeOCBB/DGG28gHo/j8OHDuPvuu/Hxj3+8oO/z+/245pprMDc3hzNnzuDHP/5xQd9DEIR2EV2p6ZI2qqH8o4ga2iLOg8m5kJ1KaON2aOEcNqPVhI7lyLmgRoeq6sWFzTWNk4UFcaEOAEeOHEF9fX1Bxzh/kcPffMePaIE16xiGAfROXF4DLq8BLw7HYPnBeezfacAHuutwoMMNYCMMor+/Hx6PB9ddd13JrOqF2uWSHRWHDh1CU1NTQcfPFhZRcooJi5CxGUqynTCQS8nL5HwN2ZJ1KoHszgVOYedCgWERuZyzTqeTfqddu3YhHo9jZWUFfr8fExMTCIVCGBwcxNjYGEZHR7Fnz5682/Hiiy/izJkzqKqqwu233w673Y4nn3wSt912G2ZmZnDPPffk/Z2/8zu/g9XV1bw/RxCE9kme54mLjs39oV6vL/uCXkQNzoVyt6NSxAWtoKYNIDnQsnNBSXcV5VwoANGtwHEcGIZJUbmWl5fR39+P6upqsCxbsC3kX56L4Pm3V2TdtWZ1RkRQjd5poHc6AiE+CmfVOpocfvzn9+3C3j2FuStyPn5SWESuxGIx9PX1IRwOF+2oyJrQscQUldCxAsfJfENfspW8nJ6exuDgIOx2uyQ2OJ1OxWNcK925IBTgXCi0OzAYDKitrUVtbS2ADcE1FArh9ddfR19fH86dO4eXXnoJN998M26++WacPn0667VNJBK46667wLIsXnnlFRw9ehQAcP/99+PUqVO47777cOutt2Lnzp05t/HJJ5/E448/jv/7f/8vfud3fqewEyUIQpOkC3dNN6apwS0gooaEjmI7SFzQPlq8zlp2Lih5XqFQCDU1NYodL1dUKS5sTuaTPNjwPI+xsTFcunRJylfw4osvSs6GXFkLCfjCN9cxtxgsxSmkwBjsWOPsWPM34U+eSMDEDGF3E4ubT9fixMFq2YWG5GuVCysrK+jt7YXT6UR3d3fRjopMAx45F+Sn2EFnc8nLWCwGn8+3peSlx+OB2+0uuHJBPsitaCseFsHnLy6wMp2vyWTCRz7yEXzkIx/BBz7wAXzoQx+Cx+PBT37yEzz66KMYGRnJ+vkXXngBExMTuPPOOyVhAQCcTifuu+8+3HHHHXjsscdw//3359SepaUlfOpTn8Kv/uqv4sMf/jCJCwRBAMge7poONYkLaihFCZR3gV8J4oKWdsa1dC6Atp0LVIpSheJCumQ+4g0YCoXQ19cHnudTyjbmO+icHUvgK/+2glgZsv2yrB5xeDA8Dwx/Lw7+2xOotoXxgdN2fODdbbIcI9dYPEEQMDMzg5GREezevbvgfBXpjp8x50LJubpyLgDyDjpGozGl5GUoFJLEhqmpKbAsKwkNHo8nr0SfuSK7c4FXOqFj/mERpVC6g8Eg9uzZg49//OP41Kc+lZPL5aWXXgIA3HLLLVteO3PmDADg5ZdfzrkNv/mbvwmdToe//uu/prAIgiAAZA93zYSaxAUKi6gMcQHQxq6/Fss2knNBHoLBYEly9xWLqsQFnucRi8XSJvOZn5/H4OAgmpqasG/fvhRlKNdBRxCAr/0ojFd7V6GWfWrWYMXkxSk8MvkWPvDuu+T73m0y+XIch8HBQSwvL+P48ePweDyyHbuc4kIxYRGVOAaVcuBkGAZWqxVWq1WqXLC2tgafz4e5uTmMjIzAbDbLXvJSbkVb6floIc4FnU7+h2NzFuFcrunY2BgApM3V0NDQAJvNJr1nO77xjW/gu9/9Lr73ve/B7XaTuEAQRNZw12yoTVxQQ1vKLS6oQWC5GtCCQLIZci7IAzkXsiCGQYj2uGRhgeM4DA8P48qVKzh8+HDapI25DDr+AI8H/2Udi75QSc6hELhEFFemXkdwZQYNtQ5ZvzvboBMMBtHT0wODwZB3mclcoISOyqJUB82yLFwuF1wul1TyUszXIGfJS/mdC7J9VU4UUi1Cp5NX6RYEoaAswqIA4HQ6077ucDhyEgnm5ubw6U9/Gr/yK7+Cj370o3m1gSAI7ZEt3DUXdDpd3uGvpUJNYRGV7Fwo9Y68lhavWjoXgJwLckHVIjKQLQxifX0dfX190iLYbE5f4nG7LMJvDcfxT99fUc3ABACR4DLmx19GIrZR+jLByTtAZBIXrly5goGBAbS0tGDv3r0leQjKGhZR1EEqT14op11uczLBcDgMv98Pn8+H2dlZ8DyfUoUil5KXgiDIPuhwFRAWodfLr3SXU9H+7//9v8NgMOBv/uZvynJ8giDUQ7Z5Xq6QcyF9O8q1q13OY+dDJbRxO7RwDpsRBUatoaRzQdxEIufCJjLVNE7OBdDW1oZdu3ZlvQkzDTqCAPzDUyH8dFBddtyVKxewPPM2BOHni/+EzNurmxXt5ESYhw8fRkNDg6zH23zsSgyLqEBtQVWDjtlshtlsRlNTU0rJy6WlJYyPj8NgMEhCg9vtTluuRzwfOQUTpTd2hALCIgwlGIwKicUTHQuZ3Alra2twu91Zv+Oxxx7D008/jW9/+9uqzGJMEIRyZAt3zQc1iQtqcS6UOyxCTfMPLaPVnAtaOyeAci6IlE1cEJXszWEQ8Xgc58+fx8rKCo4dOyZlsc9GukFnaYXHg99Yg281XJL2FwLHxbB48U0EfBfTvCa/c0Hs+KPRKPr6+hCLxVISYZaKTFY9tTsXKnWcVGMHnankpd/vl0pe2mw2SWwQS16K9428zgXZvionCgmLMBjkFRdisRgSiUTeg46Ya2FsbAzHjx9PeW1hYQGBQACnTp3K+h09PT0AgF/+5V9O+/ozzzwDhmFw5MgR9Pb25tU+giAqB0EQZBEWAHWJC5TQsTLEBTXOjQpFS+cCkHNBLsi5sAkxkU9yUg+/34++vj7Y7XZcf/31aXc205Fu0HnoOwLWwiwYhk1xCJSLaMiH+fGXEY+upX2dk3mAEK+t3+9Hb28v3G43jh07JkvCve0oa86FYhI6VqB1Qe2Du0i2kpfDw8OIx+NwOp1wuVyyH5tX+BIVEhZhNMo7GAUCG+FW+Q46N954I77whS/g2Wefxe23357y2jPPPCO9JxtdXV3S8Te36YknnkBLSwvOnDmD1tbWvNpGEERlkZywsdjFkU6nQywWk6NZRSOGRZR797XScy4oQSW0cTu0cA6bKfezUyqUdi6EQiHKubAZsfyQIAiYnJzE5OQk9uzZg507dxad6IdnzDDbLBu1lLkYEvEwErEweC4q92lsy+rSGJamfwpByKy6yz1AMAyDhYUFLCwsYO/evWhtbVU08V/ZwiKKOUgF9t+V2kFnKnm5vLwMAHjzzTdT8jUUk3SUVzrnQgFhESajvF1xoeLCzTffjI6ODjz++OP49Kc/jaNHjwLYCJN48MEHYTQa8YlPfEJ6//z8PFZXV9HY2CiFVNx222247bbbtnz3xYsX8cQTT+DQoUN4+OGHCzwzgiAqCbli89XkXBB3Jss9/pJz4eqhEud5mShFbi01IAiCos6FWCyGeDxOYRHpiEaj6O/vRzgcxqlTpzJmKc9GOkVb/G0ZhoFOb4JOb4LJ7ILAcxtCQzwMLh4uqauB5xJYuvRTrC2Pb/teTsbt1UQigUgkgnA4jBMnTmwbIy03mQYdVplyEQV/shKdC1ogueRlTU0N3nzzTRw+fDhtyUu32w23252XA0d550IB4oJB3q5YLEOZ7+Ct1+vx8MMP48yZM7jhhhtw++23w26348knn8T09DQeeughtLW1Se+/99578dhjj+GRRx7BHXfcIes5EARBiKhJXBD71XJbu8uZVJHEBeUot4glN6IgpqVzAlCSsN5siJtI5FzYxPLyMnp7e1FdXY3rrruuYMt+ukFHzwpIt9BkWB0MJhsMJluqqyEeBp+Qz9UQC69ifuIlxMIrOb2fl2kFFAgE0NPTA0EQsHfvXsWFBSD9oLNRgioGwFTyYxcKx/EV14lXWnu3Q1Szk0teJhIJqQrFxMQEwuEwHA6H5GxwOBxZO3PFxQU+/7CIqiqDrG0IBAKwWq0F3Rs33XQTXnvtNTzwwAN44oknEI/HcfjwYXzxi19M60ggCIIoNdtVBVMScWeS4zhFQk0zUW7nghryTmRDK3MjrYk44vlozbkgPg9KOReCwSAYhoHFYlHkePlQVnFhZWUF+/btQ1NTk+yJfnLJj5be1RBBIh4qytWw7p3ClYtvQMhjkSFH57GwsICBgQG0trZidXW1bA/uZnEhHA5vJHkTOsvSnlwJh8N4/fXX4Xa7UV1dDY/Hk3Pej3KilQEUQEoOFhG9Xp9S8jISiUj5Gi5fvpxS8tLtdsNisaR8h9LjslCAc8FskldcCAaDRQ04p06dwtNPP73t+x599FE8+uijOX1nW1tbTv2caJnMxuZ7REvPAEEQW1GTc0Hsb8q9uK7UnAtiSLQSaGVhrqUxTqvOheRSu0ogzvPUKNKUVVzYs2ePLINFWnGhgDPbcDVYYTBZJVcDm/DB670CY5UDDJP9B+R5DsuX3sbq0kjexy6mA+R5HiMjI7h8+TKuvfZa1NfX4+zZs6oYdLxeL3p7e9HQ0ICqKhOC+a+78j14wR+1WCw4dOgQfD4fZmZmMDQ0JFU0qK6uhtPpVN1DrJWBUySXOLyqqio0NTVJJS8DgUDakpei4KDkJRJ4viBRUk3OhXKj5MSTIIjSItezrDZxQQ3tKadzQRynteaeVCNanOcB2nMuiMkclXoe1DzPK3vOBTmQS1xIRnQ1QN+ImuZGxGNBBP0ziMdC0BvN0BvMKe+PR9YxP/ESoiFfQccrtO+IRCLo6+tDIpFAV1eXlMBNDXa5qakpjI+PY//+/dixYwfYXgWOXWRNCjGmf9euXSkVDQYHB8FxHFwulyQ2mM1mVTzUamiDXKRzLmSDYRjY7XbY7Xbs3LkTHMdhdXUVPp8Ply5dwtDQEHjhP5WwxakUkswRACxmeR0yas0gvB2f/exn8eSTT2LHjh0wmUywWq2w2WywWCyw2+2w2WzS35L/v9VqhcViQVVVleQ60tJzQRBXO2pYzCejhnKU5c65AKhbXFBruwpBS+eiVeeC0jlY1FqGElBBtQg5SBeLZ9LL2+EajFa46vcD2LiBwuvziASWIACIh1dx5eLrBSVyKwafz4fe3l7U1NTg0KFDKXE+5Uy2w/M8OI7DxYsXcfLkSam84DbGD3ko4p7afLU2VzQIBoNSRYOJiQkYjUapmoHb7YbBIO/uc05tVvHAXgjFZhDW6XTSbwJsZNP99ym5Wrc9hZShBOQXFwKBgCrj8LZjeHgYExMTWFhYQDQa3VIFKBd+8Rd/EV/+8pexY8eOErSQIIhyoEZxodztKfcmEqD+XXW1ty8XaJ5XGShZKQL4eViEGu8N7ToXSrjOY1kWVmczrM5mAMDw6/8gi7DAcTx0uu0fOEEQcPHiRYyPj2Pfvn3YsWPHlpurXINOKBRCf38/BEFAd3c3TKafJ3BUe7WIbMUiGIaRdktbW1vBcRxWVlbg8/kwOTkpJRkUF7YOh0ORB14LA2cy+ToXtkPpnBmFOhdsFnkTnQaDwYp0LiwtLeE973kP/vZv/xYulwt+vx/hcBiBQAChUAiBQACBQADBYBCBQADr6+vS3xiGwXe+852yJ1kjCOLnyBkWUYjYWCp0Ol3ZnQvlzrkAaG8Ooka0do3lnuepBY7jFBcX1DrP08QMLJ24IHMIc1YYnTwHC4YicNiz7zYmEgkMDAxgdXU1a+nOcogLy8vL6OvrQ21tLUKhUIqwACgjLhTTYeVTilKn06G6uhrV1dXYs2dPSpLBmZkZAJCEBo/Hg6qqqoLbtR1a6qTlVrQrIZkjAFgpLALARo6Wjo4OtLe3w2KxoLm5Oa/Pv/POO2n7HoIgKhtxnqeWXVy1hEWUyz1RrLigxG+ohvtELrR0Llp1Log5F5RCzLmgRjQRFpFeXFBuVcGy8lzGQCiWVVxYX19HT08PzGYzuru7s+7KKjnwCYKAqakpTExM4ODBg/B4PJibm9vyPmX6xtI4F7Zjc5LBtbU1+Hw+zM/PY2RkBGazWYoFd7lcsqmbpGhnJ84BRd0TeVJIGUoAsFnlFZ/UrGhn47vf/S4MBoMkDoiVI8RFhbiwSP4HbAzqRqMRdXV1aG9vL0uIEkEQpUMcM5W2HmdCDWEalRwWodTcRQtzJC2cQzJadS6UI+eCWud5mnIuJCvaJgXd0KxMzoVQOJrxtbm5OQwODqKtrQ27d+/e9sFUyi6XzkkRiUQAbI0TU+KZU0OHxTAMnE4nnE4n2tvbEY/H4ff74fP5MDIyglgsBqfTKSWGLCbbq1p2ceRCbkU7GpPtq3Ki0PAom03enfZAIKDaQScbhw4dSvlvUUDIdE+I97+42Pje974HhmFUq+YTxNWGnJtIgPLW40yoxblQbnGh3NfgakFL8zylF+FKoXTfFAqFVDvX0Yy4kLyrBQAyu4yzwsjkXAgGt4oLPM/jwoULmJ+fx9GjR1FbW5vTdylhlwsGg+jp6YHRaExxUmTKIqxIzoViwiJKJA4bDAbU1dWhrq4OgiAgHA7D6/XC5/Ph4sWLKUkIPR5P3nkCtDboyHk+EWVzrBYsLjhs8jsXGhoaZP3OchEIBPDUU0/h0qVLsFqt2LlzJw4dOpRWZK1EQYUgiO1JFhfUgBoSOlLOhasDrV1jrYZFKO2qUvMmkmbCIoCNXXRxYWYxKRgWoZNJXNi0EgqHw+jt7YUgCOjq6sor+zvLsojHS7eyWlxcRH9/P1paWrB3796UjiLToKP2hI755FwoFIZhYLFYYLFYsGPHDvA8v6V0ot1ul4QGp9OZtRPW2qAjt6IdiSs7gBUaFiG3uKBmRTsfhoaG8Fu/9Vv46U9/imh0Q3xlGAYnT57EL/3SL+GXf/mX0dbWVt5GEgRRckSHUrkX9CJqSOhY7lKU5axKlgtqb1+uaM2hqtWwCKVzLgSDQdjtdsWOlw+acS4AqYq2WcF8XiwrT1hEOPxzD7eYHLG+vh4HDhzIWw0rlaItCAImJiYwNTWFQ4cOoampKe2xxfcmk0MhjKIpqrsqwxjEsizcbjfcbjd27dqFWCwmJYYcHBwEx3Fwu92S2GA2m7d0ylrqpOVWtGMKOxcKTejosJtlbYeaY/Hy4d5778Urr7yCX/zFX8S73/1uxONxTE1N4ZVXXsFnPvMZPPfcc/jyl7+MgwcPlrupBEGkQc7xSU3iwtUeFgFoZ/FeCdA8T/0oHe4RCoXQ2Nio2PHyQRPighiTmzzoVKJzIRyJQxAETE5OYnJyEgcOHEBLS0thbSrBoJNIJNDf34/19XWcPn0aDocj7fsyxeKxrAK/iULVIkqF0WhEQ0MDGhoaIAgCAoEAfD4flpaWMDY2BpPJJCWGdLvdmhvY5Q+LUHZAVlMpykp3LiQSCTz99NM4c+YM/vEf/xHV1dXSawMDA/jud7+LP//zP8d/+2//Dc8++2zG/oggCG2gNnGh3G0hcSE7WlmQq/kaF4KWnQtKl6LMx9GuJJoIiwC2DjpWBcUFRibnQiAYxrlz5xAIBLIu3nNBbrtcIBBAT08Pqqqq0NXVtW2lCqBMYREa6rAYhoHdbofdbsfOnTvBcZyUGHJiYgLhcBhGoxFGoxFra2uw2+0V32HLntBRaXGBKywsQu7frVJLUSYTCoXAcRze+973orq6WpqQMAyDw4cP4/Dhw2hqasJv/MZv4J/+6Z9wzz33lLvJBEGkQa5FqJrEBTWERZQz54J4fLUvfNXevlyp9LldMlp2LigtLqh1nqeZX3eLuCCvyzgrcjkXLoyOAwC6u7uL3oWTU9G+cuUK3nrrLdTV1eHEiRPbJhzMmHNBkbCI8pSiVAKdToeamhrs3bsXnZ2d6OzshNVqRTweR29vL1599VWcP38ec3NzUnx6pSG3oh0tbK1fMIXmXHjnnXcwOTmJlZWVop9bQRBUPejkSjweh8vlwuXLlwFs7ApsdkXdddddOH78OL71rW8B0M5EkiCIrahJXFCLc6GcfV4x4oKWFsulhnIuVAblyLmg1nle2cMi5FI+9Xp9Skcvc2W3rMiVc6GqyoZjx47J8tDJoWgLgoDx8XFcvHgRhw8fzjv7fKU5FyptWWI2m2Gz2WA2m7Fnzx6sr6/D6/Vibm4OIyMjsFgsUq4Gl8ulivJd2yF/zgWlnQv5h0XoWAZNTU3w+/0YGBgAz/NwuVzSb2exWPLuE9ScRThXbDYbbr/9djzxxBP47Gc/K/U/yf18MBjE4cOH8cILLwDQ3iSMIIifo9PpkEgorBhnQKfTlTRpdi5QWER2tDIWqPkaF4KWnQtK51xQa/hr2cUFudisaK/45gHsRJEp/nJCrlKUFqtNts6w2EEnHo+jv78fwWAQnZ2deWUkzZRFWO3OhUrtwMWcI06nE06nEx0dHYjH41IIxYULF6RdYHHBarVaVTnwyq1ox5V2LhQgLrAsi6amJjQ1NUl5Nvx+P7xeLyYmJmAwGFKSeuZSqlTNinaumEwm/PZv/zaeeuop/Kf/9J/w4IMP4n3ve1+KSOb1evHTn/4U+/fvB1C5zzBBaBkthkWowbmghrCIcoeGXC2ocb5WKFp2Lii1iad2h6rmxAWe53HhwgXMzc1hQ1woPbIldIzKp4IXY5dbX19HT08PrFYrurq6YDDk78xIN5lQolqElnIu5EKm39hgMKCurg51dXUQBAGhUEiqQjE5OQm9Xg+Px4Pq6mq43e6cFqxKILtzIaHs/SAUEBah0/28jcl5NlpbW8FxnFSqdGZmBkNDQ7DZbJLYkM6RIv7eah108uHgwYN4+OGH8clPfhIf+9jH8Au/8As4ffo0mpubkUgk8Pzzz8NkMuHzn/88AFSEO4cgiMJQk7ighpwLlexcUGpxqQXBWQvnkIyWnQtKzkECgQCVosyEnIp2OBzGW2+9BYZh0N3djafGlLG6szI5F2Ix+bZZCx10FhYWMDAwgLa2NuzevbvgASCtc0GRsaQY54KMzVCQ7X4jhmFgtVphtVqxY8cO8DyPlZUV+Hw+TE9PY3BwEHa7XRIbHA5H2Tp+uRVtGR+pnCgoLCKL6qbT6STHAgDEYjHJkTIyMoJoNAqn0ym9x263IxKJgOO4ggadt99+Gw888ADeeOMNxONxHD58GHfffTc+/vGP5/T5p59+Go899hh6e3uxsLCAWCyG1tZWXH/99fjMZz6DvXv35t2mD3zgA3jyySfxta99DU899RSeeOKJlNd//dd/HS6XC9PT06iurlatK4cgiOLYHP5aTsq9sBfbUM6FZ7mPf7WgtXA/LTsXlA6LUOsmUtnFBbmIx+OYnJzEjh07sG/fPrAsC4ZRZsHI6uTJuRCR0bmQr11NEASMjo7i0qVLuPbaa1FfX1/08bc6F0r/Y2ixw8pGIQowy7IpC9ZoNCq5GsSY/2QbvpKlbgRBkFX5jSvsXCikFKVBn/v5Go1G1NfXo76+HoIgIBwOS7/d9PQ07r33XrhcLgDA8vJyXnlSXnzxRZw5cwZVVVW4/fbbYbfb8eSTT+K2227DzMxMTtUYfvSjH+Gtt97C6dOn8cEPfhAGgwHDw8N47LHH8M1vfhM/+tGP8N73vjfnNomcPHkSR44cwR133IHe3l709/djamoKU1NT+NrXvoavfe1r2L9/P06fPo2TJ0/ife97X0FCBkEQ8iPXuKwm54IawiLKLXBQzgXl0NK5KJ2bQCmUdC6IYRGUc6FE8DyPkZERrK6uoq6uDgcOHJBeY1mAV6DvV6tzIddOPxaLoa+vD5FIBF1dXbIoYenEDUXCIhTIsaEm5BjYTSYTGhsb0djYKMX8e71eLC4uYmxsDFVVVZLQ4Ha7odeXrtuQ37mg/lKU+jzEhWQYhoHFYoHFYkFLSwt4nsef/Mmf4Dvf+Q5ee+01XHfddWhra8P73/9+/Nf/+l/R3d2d8bsSiQTuuususCyLV155BUePHgUA3H///Th16hTuu+8+3Hrrrdi5M3uo2Ze+9CX87d/+7Za//+QnP8H73vc+fOYzn8Hbb7+d97kKggCj0ShVSQGAubk5DA8P4/z583j77bfR29srOSd+5Vd+Bd/85jeRSCRKer8SBKEcakiiKEJhEcWJC4IgKCJMqFn8yBUtnEMyWg2LUNK5UIxDVQnKPusqZiERCoXQ19cHQRDQ0NAAkym1RISOAZRwRTMyOReicfmUkFwHnbW1NfT09MBut6Orq0u2iXg6cUPtORcqtQOXczGeHPPf1taGRCIhhVBMTEwgHA5vseHLeXy5Fe2EwvOuQsIijAWKC5thWRbvfe97UV9fj6eeegozMzN49dVX8dxzz2FycjKruPDCCy9gYmICd955pyQsAIDT6cR9992HO+64A4899hjuv//+rG2oqqpK+/ebb74Zbrcb4+PjBZ1bcglK0d0iJsG8+eabpfcNDQ3h+eefl0QQLU5gCOJqRafTIRKJlLsZAMq/sAfKn1BR7c4FLaE154KWzkdESedCMBgEAAqLkJvFxUUMDAygsbER+/btw/j4+JYSRawOiqgLcjkX4grnXJibm8Pg4CDa29uxa9cu2ReplVYtohIp9cCu1+tRU1ODmpoaANhiw08OsfB4PFsEvnyRW9FWvFpEIWERRnkHo0AgAIvFAofDgY985CP4yEc+su1nXnrpJQDALbfcsuW1M2fOAABefvnlgtv05ptvwu/3413velfB3wFsFQvE3S+e56HX63Hw4EEcPHgw4/sJglAeLYZFqKEt5c55oHZxQSsLWDVf40Ig50LxBINBMAwDs9msyPHypeLEBZ7nMTo6itnZWRw6dAiNjY0ANhZB0Wg05b16he5d2cIiZHQuZFO0k6/hkSNHUFdXJ9txk49PzoXSo3SiH7PZjObmZjQ3N4PneaytrcHn8+Hy5csYHh6G1WpFdXU1PB4PnE5n3iqu3Ip2glO4WkQBYREmozzOJ5FC4vDGxsYAAHv27NnyWkNDA2w2m/SeXHj22WfxxhtvIBqNYmxsDP/+7/+Ompoa/NVf/VXGz/zzP/8zLly4gN/93d+VckqI94L4bG6+N8T/1uv1WFlZAcdxaStoEARR+ahhQS+iBueCKC6UK+Gf2sUFoDLndenQilACKF9VQSmUdi7YbDbV3hdlFxfyuTDhcBh9fX3gOA5dXV0pE+h0g45eJ0CJGHy5wiLiidLnXIjFYujt7UUsFttyDeWkbOLCVeZcAMo36LAsC5fLBZfLhY6ODsTjccnVMDw8jHg8DpfLJVWhsFgs27ZVbkU7ofA8tBDnQpVR3m5YFBfyuS9WV1cBbIRBpMPhcEjvyYVnn30Wf/EXfyH99+7du/Gtb30Lx48fz/iZ559/Hr29vfjN3/xNAKn3dbZzEV/7u7/7OwwNDeHP//zP0dzcnHNbCYKoDNQmLpS7LeJYWa7FWrnDMq4WtFYtQovOBUEQFHUuBAIBVVfGKru4kCtLS0vo7+9HfX09Dhw4sKUjTTfoGBTqa2ULiyhxzoXV1VX09PTA6XTi2LFjJU10VrawiGKcCzK2QynUpMobDIaUSgahUAherxc+nw+Tk5MwGAwpIRQGw1ZRTn7ngmxflROF5FwwmeQXF8odh/fQQw/hoYceQiAQwNDQED73uc/h+uuvx9e//nX8l//yX9J+JhwOY2VlBS+99BLa29sBbCQbNRqNMBgMMBqN0Ov1MBgM0Ov10Ol00Ov14Hke1dXVePvttzE1NSUlfNPahIwgrnbUJC6oIaFjci6acokLapqDbEYr/b+ar3EhaDHngvgbKelcUGulCKACxAWe5zE2NoZLly7h0KFDaGpqSvu+tOKCQmcnVynKBCffQCWKC+IE+/LlyxgaGsKuXbvQ3t5e8ge7Ip0LFdp/q7GTZhgGVqsVVqsVra2t4DgOq6ur8Pl8uHjxIgYHB+FwOCShweFwSG4beRM6Kl2KMn/3kblK3rAIMedCPoiOhUzuhLW1Nbjd7rzbYrPZcOrUKXzve9/DiRMn8MlPfhLvf//7UVtbu+W94XAYs7Oz+I3f+A2wLCsJCaLAUFVVJf0zm81SpQyTyYSmpia8+eabOHDggCSaqvG5IIirETlzLmzOrVUu1BIWAZRv8VnunA9XE1oaz7ToXBDXn0rmXMjFDVwuyi4uZLswkUgEfX19iMfj25ZILKu4oELngnhdOY7D6Ogo5ufncfTo0bST+lKQXlwo/SCk1getVFTKwK7T6SQhYffu3YhGo1IIxcDAAHieh8fjQSQSkbXUmIx6XU4U4lwwVxllbUMhzgUx18LY2NiW0IWFhQUEAgGcOnWq4Dbp9XrcdNNN6OvrwzvvvIMPfvCDW97zqU99CjfddBM4jkMwGEQoFJL+hcNh6X/D4TBWV1dx5coVRCIRxGIxxGIxRKNRdHR0pHXEEARR+ajNucBxXFkdUslhEeWgGOeCUtesUuZI2dDCOSSjReeC+AwqnXNBrZRdXMiEGAZRV1eHgwcPbvuDpRt0jHplHki5ci7I7VwAgHfeeUfKUZHvbmYxpIvFUyTBJiV0rAhMJhMaGxvR2NgIQRCwvr4uiQ1jY2OYnZ2VEkO6XK6CQ3g4hRM6FiIuWGQWF0KhUN6Dzo033ogvfOELePbZZ3H77benvPbMM89I7ymGubk5AMi4+P/whz+MD37wg1L1B47jwPM84vG49C+RSIBhGHAcJ4kK8XgcHMchEAhI9wxBENpDr9erRlxIdg2UawxmGKaseQ/UHhahJSpxnpcJrToXWJZV7HcKBAIkLuSDIAgYHx/HxYsXcfDgwZwTc6UTF0wKbWCxrA4bdvziOllORnFhfX0dwMYi7vDhwyXNr5COdIPO+voqgJpSH7ngT4oLmkrLYlvpgw7DMHA4HHA4HLhy5Qra2trAsqwkNEQiETidTikxZD4ZcpV2LggFhEVYzPKHReQ76Nx8883o6OjA448/jk9/+tM4evQogI0wiQcffBBGoxGf+MQnpPfPz89jdXUVjY2NKUkg33nnHZw4cWLL9z/zzDP4t3/7N7hcLnR1dWVshzjh0Ol05EAgCI2g1VKUgLLl59JB4kJm1N6+XNHaYlyrzgUlf6NQKEQ5F3IlEomgv78f0WgUnZ2dsNvtOX82rbig4NmxOn1Bu5bJyCUuzM7OYmhoCABSYpCVJDkWj+d5jIyMYGlJj1KLC8V0WPF4HK+++ipcLpe0A6rGmKa1IIdgKIrGWosmBs5kBEGQEj+KITzhcFhKDDk9PQ2WZVMSQ5pMpozfp6S4UOjzb7Vkbn8hBINBuFyuvD6j1+vx8MMP48yZM7jhhhtw++23w26348knn8T09DQeeughtLW1Se+/99578dhjj+GRRx7BHXfcIf395MmTuOaaa3DttdeipaUFwWAQ/f39ePXVV2EwGPD1r3895wFRFPrOnj2L559/HvPz84hEIvizP/szuFwu+Hw+zM3Nob29XdWDLEEQ8qDT6SRnU7kXW+UOSUhuR7nmAZUQFqEFtDbPU8PzKzdKi4yU0HEbxA7G6/Wir68PNTU1BVUySJfop8qo3APJsHqgWHGhyEGK53kMDw9jYWEBx44dwzvvvFP2QScej6O3txfRaBR7dnWif7EszckJg9GIkydPwufzwev1YmJiAkajEdXV1aiuri7Kni8Xs0sC/vxbQYTCUTDcPNymOE7sD6ChkYNRqfIoJSSdom02m9HS0oKWlhbwPI+1tTV4vV7Mzs5ieHgYNptNEhpcLldKB88pePsXkswRAGzWKlnbEQ6H0dLSkvfnbrrpJrz22mt44IEH8MQTTyAej+Pw4cP44he/iNtuuy2n73jwwQfx4osv4uWXX8bS0hJYlkVrays++clP4vd+7/dw4MCBnNuj0+nwx3/8x/j617+O2dlZ6e+f//znAWwo95/85Cdx991349Zbb83vZAmCqDjU4hYAUvNalZNyJpbUijOgEtCSGKM1JwYAxV3PFBaxDWIYxNTUFA4cOIDm5uaCHqJ0irbMocxZYXUGcPFwUd/B84V30pFIBL29veB5Ht3d3TCbzWXt+BmGQTgcxptvvgmbzYbOzk6cnVDgBymiA2YAqcLBjh07wHEc/H5/ij0/2dWgdI3Z/kkef/+9NXAcB4ZhAb0Lfs6F5waBZ/quwGpYx/5WPc501WLXDodi7ZKT7RRtlmXhcrngcrmwa9cuxGIx6TcaGhpCIpGA2+2WxAaeV07ZLdi5YJX3uRDrHxfCqVOn8PTTT2/7vkcffRSPPvrolr/fe++9uPfeews69ma++c1v4vOf/zxuvvlm/M3f/A2efvpp/NM//ZN0bi0tLZidncW//uu/4mMf+1jZhT+CINIjZ1gEsDGRL3fYFMMwqihHWW5xoZhjl6NqWSWihXNIRqthEUqKC8FgsKAKXkpR9tlYJBLB0tJS3mEQmxEnlsmKtpLOBTkqRhQqLvj9fvT29qK6uhqHDh2SbvByDjqxWAyTk5Nob2/H7t27NwZiBfoSpoicC5uvvk6nQ01NDWpqNkI5QqGQ5GqYnJyU7Pui2FDKxc1zZzl8+8XVjIMMqzchLJjQMw30TMchxKdQ74ri1EEb3t9ZD4vM5Q5LRb6KttFoRH19Perr6yEIAoLBYIrzJJ74IABlFPJCxQW7RV7ngtrtcrny13/919i/fz/++Z//GQ0NDRgfHwew4WQRec973oM333yz4vKkEASRPwzDgGVZKkeZRDlzLlApSmWo1MTdmdCqc0HJcyrUoaoUZRcXLBYLOjs7i35w0inaZoWdC8XCC/kNEIIgYGZmBiMjI9i7dy9aW1tTrmM5Bj5BEDA5OYlAIIDm5mapxB0AKDL/L+Y+2maMtFgssFgsaGlpAcdxWF1dlYSGwcHBgpMObsc3no/j5Z61vD7DGBxYDAL//jbw/be8MLFr2NPM4uZTHly7R73Z9ItRtBmGgc1mg81mQ2trKziOw48uKtfZF5LMEQAcdvnFBTXb5XIhFouhr68Pv/u7v4uGhgbE43F4vV7o9Xrp/uB5Hk6nEz6fT1MTL4LQInLtIqstqWO521KpOReI/NDSGKdV54KS4kIxDlUlKLu4AMjTOYqKdnJHb5U3T1r248vgXMhHW+A4DkNDQ1haWsLx48fTll9TWlzgOA4DAwNYWVmB2+3essDR60o/CMnpXMiGTqeTrPd79uxBOByWdsynp6el10VXQyEWTkEA/uI7UYxcDOT92WRYnQFxVGNoDhj6ngA+Po0aWxjH9ppxy/UNcNsVfFC2QU5FW6fTAYJyA1ihzgWnTV5xoZBSlGojHA6DYRhUVW1cG0EQEA6HYTT+XDHmOA6hUEiapGhtd4cgiK2oYUEvogbnQrnDItQsLmhlPFDzNS4ErToXlA6LUPM8TxXiglxsHnQsJgXDImRwLuTagYTDYfT29gIAuru7pQn4ZpTs+MPhMHp6eqDT6dDV1YXh4eEtx9Yp0ZcUNZgUfq3MZjOam5vR3NwMnuclV8P09DSGhoZgt9ulxJB2u33bQS8SE/D5b4Sx6C0uj0c6WIMNvqgNzw8Az/WtQi+sor1BwI3H3Dh9uKasA7LciraSUy6eLzAsQkbnghgaUkyImRoQBAGtra145ZVXpP8OBoMpfV0kEsHrr7+OQ4cOlauZBEEojNrEhXK3hcSF7Ki9fbmiFaEE0K5zgcSFn6NtcaGqsnIu5NJan8+H3t5e1NXV4cCBA1lvZqUGHb/fj56eHtTX1+PAgQNgWTbtoKOEcwHFOBdkah7LsnC73VKylWg0Cq/XC6/Xi5mZGTAMk+JqSN6NBYClVR5/+o0ggqGYPA3KAsPqwMGD8SVg/Bngn344C2dVCNfuMuID19ejodpS8jaIiPeLnIq2kvMKnissLMJqlr8UpZrtcrlgt9tx55134g/+4A/w5S9/GXfeeSdYlpXO68qVK/i7v/s7jI6O4p577ilzawmC2A6thkWU27lQzpwLlSAuaAGtXWOtOheUPKdQKKTqeZ6mxQWZK7xlRQ5xIRuCIGB6ehpjY2PYt28fduzYsa3yp4S4MDMzgwsXLmDfvn1obW2V/p5eXChpU6Tjqg2TyYSmpiY0NTWllFKcmZnZ4mq4smbDl58MIB4vT8IqVm/BesKC10eA1y4EwXLzaKlJ4F1HnHjvqYaSHlu8V2X9DRUtRVmYc0Hue1btinYu6HQ6/Nqv/Rp+8pOf4O6778ZTTz2F6elpBAIB/Omf/il+8pOf4KWXXsIv//Iv44477gCgzmefIAh5UZO4oJawCMq5oG20FvJHzoXiqASHqirEBTkV7eQswjZzljfLDCNDWAQARGIJVBlTfxaO4zA4OAiv14sTJ07kXH6klAMfz/O4cOEC5ufn0+Z8SCsuKCLqlS6hoxykK6Xo9Xrh8/nw3Rfm8OZEA4Q8E3uWCoZhIehdmPZxeOeR1/HeU79Y0uOVxLkg2zdtTyE5F+QeX8VBp9LFBQBoamrC1772NXzlK1/BN77xDVy+fBkA8Ed/9EdobW3F3Xffjf/5P/9n2UvSEQShHHq9XlXiQrnbUu6wiHKLK9nQkvihpcU4OReKR+3zPFWIC3KxWdHeqL4noKgFZ47I5VwIBqMp4kIoFEJvby9YlkVXV1fG/ArpKFXHGovF0Nvbi3g8jq6uLlgsW63z6Y6t9moRgqJL0Q2MRiMaGxvx5kQt3hhfg7JZAraHS8QwP/4CwutXSn6skjgXFEQoICyClflcQ6EQBEFQtaKdDzt37sTnPvc53Hbbbbh06RJWV1dhMpmwZ88eXHfddeVuHkEQOSJXv64m54IawiLKKS6wLIt4vDDHHpE7WhFIgI1z0apzYXOIcykhcUFBNg86St67ciR0BIBQKIpq90YcjdfrRW9vLxoaGqRcBnm1qQSDzvr6Os6dOweHw4Fjx45Br09/C5XLuVBMtYhyIAjAV34Qw7mR9XI3ZQvxWBBzo88jFl5R5KrK7VzY+DoFq0UUUIpSbqU7GAwCgKpj8XKB53lpEmIwGHD06FEcPXp0y/tWV1exvr6u6nrPBEHIh5rEBTWERVDOhcxoaQGrlXMphUNVDSjpXBAdqmqe56lCXCilos0wyiR1k825EI5CEARcvHgR4+PjOHDgQMETZ7kHvoWFBQwMDKC9vR27du3K+ruVK+eCoopSkcQTAv7sXyO4tBAqd1O2EA35MTf2PBKxn7VNgcsqqtly9QdRhTdUCgmL0Onkz7eg0+nycjipEXGQFmMYOY4Dz/PQ6/VgGAarq6t4++238ZWvfAWtra34y7/8S8VLQREEoTxqEhfU0BbKuZAdtbcvF7SUc0Gr4oKSORcqwaGqCnFBLsopLsiVc2EtEEZfXx/8fj9OnjwJl8tVeJtkUrQFQcDExASmpqZw7bXXor6+vqBjGxS528pfLSIX1kICPv8vIaysRZQ7aI6E1hYwP/4ieO7n1SqUcITIbZWLlL7YRgqFJHTUyzwYiWp2pQ7ckUgETzzxBB5//HHEYjG0tbXhjjvuwI033gidTodgMIjvfe97+P73v49vf/vbAIA/+ZM/KXOrCYLYDi2GRVDOBfWLC4S6qPTw10wo6VwQHaoUFqEQ6RL9sIwyUexyORd6ewdw5EADuru7YTIVV6JOjkEnkUhgYGAAa2tr6OzszFkpSzfo6pQIiyiqw1JmkJxdEvBn/7qOqNJb6zmw7ruIK5Ovbk0qqcA4IHeSn0hc2cGrkFKUgsBhbGwMHo8HLperaOU7EAio2iqXDY7j8Id/+If4y7/8S+lvL7/8Mp555hk8/vjjaGpqwu///u/j+9//PgDgF37hF/DhD38YH/vYxwCAXAsEcRWg0+kQjUbL3QwA6giLIHFB+5BzQf0o6VwQHarFrhFLiSrEhVIq2joWSCggLLM6eS6lwWTGyZMnZXnwirXLhUIhnDt3DkajEV1dXXklK0k36BgUee6KSeioDM/3V0FnMsHIhpGIh8En1DFRWrkyjKVL/5H2NSUGNrmdC1GFxQWhAOeCyWQEx3EYGRlBLBaD0+mEx+NBdXU1rFZr3tdD7bWP0yFOnH70ox/h4YcfxoEDB/BHf/RH2LVrF1588UV87nOfw+///u+D4zj09PTgE5/4BD760Y/iIx/5CFWKIIirDDU5F3Q6XdkTGlLOhcxobUGuBci5UDyV4FBVhbggFzqdDrFYqhdaid1yAGBYeSa5bk+dbDdMMYq2mEyysbER+/fvz7tN5aoWURkdFgOd3gid3gST2QWB55CIbwgNXDyseClKQRDgnT0L/8JgxvcocVlldy7kbyQoikJyLlSZDNi/fz8EQUA4HIbP54PX68XFixeh0+ng8Xikf7mIe+KgUxnPwQaiuPDaa68hFovhwQcfxEc/+lEAwMmTJ7GysoI/+7M/Q0tLC77yla/gk5/8pPRZyrNAEJUBhUWUrg2UcyEzam9frlTSmJ4NcbzXyvmIKOlcCAQCqg6JADQoLiR39BzHQeATAEq/uyVXWERYxkDxQhRtQRBw6dIljI6OFpVMMq24wAIlLw1aTIel0Bi0+TAMq4PBZIPBZNvIkM/FJKGBK7GrQeA5XJl6Heu+qazvq0TnQiym/rAI488SkTAMA4vFAovFgpaWFvA8j9XVVfh8Ply6dAlDQ0Ow2+2S0OB0OtMKMZUw6GxG7CcmJibQ0dGBw4cPAwCi0ShMJhM6Ozuh0+nwa7/2a5KwkEgkoNfrSVggiKsMNYkLailFWS73RCWIC1pAS9dYi2UoAWWdC5XgUFWFp6IUinY4HMZPf/pTMFBm+1KusIhIRL5BIl9Fm+d5DA4OYmJiAidOnCiqvFv5Bh31h0VkOxDDMJKjweJohM21A1XWWuiNNjCMvAspjovh8thPthUWxHaVGrmdC9GEwuJCAWERRmP6foNlWbjdbuzatQunTp3Cu971LuzYsQPRaBSDg4N49dVX0d/fj9nZWYRCP682Ukx5orfffhsf+tCH4HK5YLVa0dnZif/3//5fTp8VBAFPP/00PvWpT+Haa6+F0+mExWLBkSNH8OCDDyIS2T5xqdfrhcfjkeIIxXtOLHd77bXXAgBisZjUt2lp0kUQxPaoSVxQQ86FcoZFqOH8s6GVRazWci6o2c5fKErnXLBYLKq+JzTnXEgkElhaWkJ/fz8aGhpgs5gQWi39sVmZwiLCMib5y6fjj0aj6O3tBcdx6OrqgtlsLurY5RIX1PywFcKGq8EKg8kquRpYPgjv0iUYqxxgmMI66UQshMujzyMW9ufWDpR+gJPduaB4QsdCwiJy64KNRiMaGhrQ0NAAQRAQCATg8/mwtLSEsbEx+P1+/OAHPwDP8wXlIXjxxRdx5swZVFVV4fbbb4fdbseTTz6J2267DTMzM7jnnnuyfj4ajeJDH/oQTCYT3vOe9+DMmTOIRCJ45pln8Ad/8Af43ve+h5deegkWiyXjdwQCAdTV1aG6ulo6ZwAwm83gOA47d+5M+TtBEFcf6RJ3lws1CB2VmtCR4zisrq5mdOHJhVYEaK3Mbcm5UDyV4FDVlLjAsixCoRB6e3tx8OBBNDc34/uZw8hlhZHJuSBnBYFc4wHX1tZw7tw5uFwuHD58WBb1rSLtcgq1t9CjiK4GwISaZg/isSCC/hkk4iHoDGboDbkJQrHwCi6PPo9ELJh7mwUer7/+OqqrqyVrvtzJ9ORWtGOK51zI/4BVpvyvIcMwsNvtsNvt2LlzJziOw8DAAAwGA370ox9hfX0dN9xwA2655RacOXMGx44dy/pMJxIJ3HXXXWBZFq+88gqOHj0KALj//vtx6tQp3Hfffbj11lulxX06dDod/uRP/gS/9Vu/BbfbLf09Ho/jl37pl/CDH/wAf/d3f4f//b//d9rzATYG53PnzuG3f/u34Xa7YTQa4XQ6ceHCBeh0Ovzwhz/E4uIiBEGAxWKB1WqFTqfDtddeq+qsyQRBaDfnQrl37isx50IkEsHZs2elknpiEuPq6mpUVVXJ3cyKp+Lm0lkg50LxFONQVQpViAtyDDqxWAxTU1OIxWLo7u6WSiZmcB3LjlzOhYiMK6Jc7HLz8/M4f/48du3ahfb2dtkmABQWUfoDGYxWuOr3S/8dXJ1DJLAEAQKMJgeYNB14eH0Rc2M/Ac/ll9tDr9fj0KFDUrLBoaEhOBwOaVJgt9uLvnfkdy7I9lU5UUi1CHMB4sJmdDodjh49in/8x3/EfffdB7/fjxtvvBHPPPMM/uIv/gLnz59Hc3Nzxs+/8MILmJiYwJ133ikJCwDgdDpx33334Y477sBjjz2G+++/P+N3GAwG/MEf/EHav9977734wQ9+gJdffjmtuCDi9/tx5coVPPLII2lf//znP59yzmazGYFAAKOjo9i9e3fG7yUIQjuoTVwod1sqzbmwsrKCnp4e1NTU4LrrrkMkEsHy8jIWFhYwOjoKi8UiCQ3Fuhq0tEOulXPRonOB53lFRRMSFxRidXUVPT09qKqqgtFolIQFADAalFkyypVzQW7nQqaOXxAEjI2N4dKlSzhy5Ajq6upkO6547HIMeJXQaZXqjrQ6m2B1NgEA4rEQgv4ZxGNB6A1m6I1mBPyXsDDxCgQh/8kQyzBwu91wu93YvXs3IpGIVNng0qVLYFlWEhpyrWywGZ7n5c25wFVAWESVvO6PYDCIxsZG3HXXXbjrrrtyqqbw0ksvAQBuueWWLa+dOXMGAPDyyy8X3CbR4SLmTtiM+Js/++yzWF1dRSQSQTAYRDAYRCAQQCgUQjAYxOrqKoLBINbX1xEIBBAOh3H58mU4HI6C20YQRGWhJnFBDQkdK6kUpbiZtWfPHuzYsQORSARmsxmtra1oa2tDPB6X5hXnz5+HIAgproarNSROSzkX5J7nqQHx+VPSuUBhESVEEATMzs7iwoUL2LVrFzweD86ePZvynhxDmotGrmoRURmdC5kW+IlEAn19fQgGg+js7CzJTZpp0GFQYodAJXTACuhdBqMFrvp90n+vLo1ifvzFgr+PYVOva1VVFZqamtDU1ASe57G2tiYJDZtdDQ6HI6eBUe4BNK50zgU+/2fXYpZ3shQMBlPCF3IZ7MbGxgAAe/bs2fJaQ0MDbDab9J5C+PrXvw4gvXiRTLrjEwShDeQMixB3Csu94FJLWITaxQVBEDA+Po7p6WkcOXIEtbW1G9XcBEESihiGAcuyqK2tRX19PQRBwPr6OpaXlzE7O4vh4WHY7XZJaMhnXlHpaOEcRLQYFiHew0o6F0hcKBEcx2FoaAhLS0s4duwYqqurEQgEtijaJqMyDyWjk2cHMlZicSEYDOLcuXOoqqpCV1eX7HHzIhkHnRKrC0wxYRFlKkWpBMYqV1GfZ9nM15VlWbhcLrhcLuzatQvRaFTafZidnQWAFFdDpvh4uRXtuMKbW4U4F6wyiwuFlChaXd3IeOt0OtO+7nA4pPfky9NPP42vfvWrOHDgAH7913+9oO8gCEIbyBEuKQqmHMdldEMphRpcFGrPuSDmBFpdXcXp06dhtVrBcRx4nofJZJIEBp7nU64ly7Kw2WxwOBzo6OhALBaD1+uV5hUMw0hCQylyQKmNcgtpcqHFsAiO4yRxTAkCgQBqamoUOVahqEJcyPdGC4VC6OnpgU6nQ3d3t5QARq/Xb1G0ZXYdZ0Q250K8dDkXlpeX0dfXh+bmZuzdu7ekD0JlOhcUSuhYhnmAgOJ2Ntg8rqvJZEJjYyMaGxshCILkarh8+TKGh4dhs9lSdh/E+1BuRTteAWERcjsXAoGAamLx3n77bdx2221wOp349re/TUkXCYIoGlFcSCQSZRcXyLmQXVyIRCI4d+4cdDodOjs7YTAYUnZ5xXm6+JuKAoM4j08kEtJxdDod6uvr0djYmOKWTM4BJc4rbDYbGIapzMTiadDCOYho0bmgdKhHKBQi50Ku5NoJLC4uor+/H83Nzdi3b1/KD5pO0VZMXJDJuRCPyaeCJ9eCn56extjYmFRFo9SUrxRlJXRaZVBti/wtsjkXssEwDJxOJ5xOp7T74PP54PP5MDAwAEEQ4Ha7UV1djVgsJm9YhNLVIgoIi7BZ5c2MXcigIzoWMrkT1tbWUipA5MI777yDW265BSzL4plnnsGhQ4fy+jxBEEQ6xEVpuR0DYlvK3Y5yigvZjr26uopz586hpqYGBw8e3BICkW6sZ1lWmtPzPJ/yb7OrweFwSG7JSCQiuRqmp6eh1+tRXV0t5XTQAlrZ7deic0HJShFAYQ5VpVGNuLAdYgLC6elpXHPNNWhsbNzynnTigtmkUEJHmZwLMRlXROLANzAwAK/Xi5MnT8Llcsn2/dmoRMVYsbCIcjgXBOWcC9kwGo1oaGhAQ0ODFFPp9XoxPz+P1dVV6PV6jI+Pw+PxwOVyFaUGJxR0Lgg8BxRwjW1WeXfzC4nFE3MdjI2N4fjx4ymvLSwsIBAI4NSpUzl/3zvvvIP3v//94Hkezz77LE6ePJlXewiC0CZyzQv0en3ZF/WAOvI/lHOulenYCwsLGBgYwO7du7Fz505JIEh2K2zHZqFBEATpeza7GgwGAxobG9Hc3Aye57GysgKv14tAIIDV1VWsrq5KrgaLxVJxi1s15BeRCy06FziOU/ScAoEAORfkIBaLoa+vD5FIBF1dXRkvajpFW2bXcUYYVrdhyS+yk48n5FOgOY7D2toaeJ5HV1eXovWDNw86giDgwoULAA4DKLXCV1jwBcdxGBsbQ3V1ddELW9VRJudCNhiGgcPhgMPhQHt7O8bGxrC+vo54PI6hoSFwHCe5GjweT947EAkF556FuBYAwCGjuCAIAoLBYEq1nFy48cYb8YUvfAHPPvssbr/99pTXnnnmGek9uSAKCxzH4ZlnnsHp06fzagtBEMR2qCHXAYCUkL5yLf7UFBYhCAImJycxOTmZkrgxX2FhM+J13hw+IQoOm10NLpcLHo8H8Xgcer0eZrMZXq8Xk5OTMBqNqKmpkeZ5Su44E9p0LuRSlUtOKCwiDzIpoCsrK+jt7YXT6URXV9e2MXabBx2LcutpsKwBPBcr6jtENbZYVldXMTY2BpZlcerUKcU70OQkQ4lEAr29vQiHwxsDYannBAWKPCzLIJFISAvb5BJIcsaLl2OPoVjngk4BoYVlWVitVuzbt09aKHu9Xly5cgWjo6Mwm82S0JDLpEDJhI6F5FsAAJtN3g6qkPrHN998Mzo6OvD444/j05/+NI4ePQpgow958MEHYTQa8YlPfEJ6v+gyaWxsTEkCefbsWbz//e9HIpHAj3/8Y3R1dclyTgRBEMmoRVxIdsuWazNCLeICx3E4f/48/H4/Ojs7UxI3FiMspCOdq0EUG5JdDTzPQ6/Xo7m5GTt27ADHcfD7/fB6vbhw4QLi8bi0gVFdXa3aEApyLqgbpXMuFDLPUxrViAubEQQBly5dwujoKPbs2YOdO3fm9HDpdLqUBbpSYRHARmhEseKCHM6Fubk5DA4OoqGhAaurq2VRZsVkkqFQSKpOcfr0aXx3WIFjo7AFPAMGBw4cgCAICAQCWF5extzcHC5cuCAlIaypqcm5BFImyhMWUaRzQVf6gS1Z0WYYBjabDTabDTt37kQikUg7KRAFIIvFsuX7OF65wbhQ54JTZnGhEEVbr9fj4YcfxpkzZ3DDDTfg9ttvh91ux5NPPonp6Wk89NBDaGtrk95/77334rHHHsMjjzyCO+64AwDg8/nw/ve/HysrK/jABz6A5557Ds8991zKcVwuF37v936vyDMkCOJqRy3iQvICt5xtKLe4EI1Gce7cOTAMg87OThiNxrSJG7fjh68t4cfnTGhwBNF9jRHvOuqGQZ990ZbJ1bC2tga/3w+n0ymtCViWhcfjQU1NDfbu3SttYCwuLmJsbAwWi0USGpxOp2oWwZUWYpwNci4UR6EOVaVRpbiQSCQwODgIn8+H48ePw+Px5PzZzYOOTUFxgdHpgcI2MCUSRXi5BUHAyMgIZmdncfToUTAMg5WVleIaVCAMs+ECePPNN9HU1IS9e/f+TH1V5OAFqQsCNkJwxB10u92O9vZ2KQmh1+tFX18fAKSUQDIaFYq9KYoicy4oMMhmU7T1ej1qa2tRW1sLQRAQCoXg9XqxvLyM8fFxVFVVSUKD2+3eEBkrwLngcMi3U8LzfMH1j2+66Sa89tpreOCBB/DEE08gHo/j8OHD+OIXv4jbbrtt28+LEzkA+PGPf4wf//jHW96zc+dOEhcI4ipGrkWFWsQF8XzK2ZZy51zgeR5vvvkm3G43Dh06lBKanClxYzq+8t15DC62ga3SYTEGfO8c8ORPg7Cwi7hmp4APdLpQ59neQcqyLJaXl3H+/Hm0t7ejpaVlS3JI8X1msxk7duyQNjDEed7g4GBJ3auFoJUFudK7/EqgdELHQud5SqI6cSEYDKKnpwcGgwHd3d15P9CbBx2Zk7FnhWWLrxiR4ApbBMbjcfT19SEcDqOrqwtWqxU+n69sivby8jIikQgOHjyIHTt2SJ26Mt1j4UcRwzk2l0Cqq6uTkhCKJZBmZmYwPDwMu90uuRrEEkjZqETngq4EORc2k2sHzTAMrFYrrFYrWltbU6yOo6OjiMVicDqdiERPo/T5PTYQChQXLFXyCVPBYBAACh50Tp06haeffnrb9z366KN49NFHU/7W1tamqd0VgiDUi5rEBTGpY7kop3PB5/MhkUigvb0d7e3tkmuAYZicF5DxBI8/fewK/NwubP6IzmBFFFacnQXe+X8cEFtEa3UINx4148RB55a5liAImJmZwfj4OA4dOoT6+vqU1zeXuhSvm9jempoa1NXVldy9mi9aC4vQyrmIKB0WRdUi8oBhGCwsLOD8+fNoaWnB3r17C/qxtjgXFAyhYnXFX06uAHEhEAjg3LlzsFqtUi1h4OeqspKI7omZmRkYjUYpzu3ncXelbwPLsihQo4HJZNq2BJLdbpdKK0ajUakE0qVLl6DT6VJcDeWuwy1RbLUIBTrOQhVtnU6Hmpoa1NTUQBAEhMNheL1exAu9CQqg0LAIOQfZUCgEoHBxgSAIohJQi7gAlL8cZTnEBUEQMDU1hYmJCTAMg46OjoLyK6ysxfC5f14HZ9y17XsZVgdUNWImCHzjdeDRF1bhNHpx3W4WH+h0w2rWYXR0FFeuXMHx48dT8gGJZMrVkG6el6t7tbq6WppzlwotCffkXCj+WORcyIPx8XFMTEzgmmuuQUNDQ8Hfs3nQMRmADcN76Ve1cjgXuDwHiaWlJfT19aG1tRV79uxJ6dSTkyoqQSKRQF9fH4LBIK655hpcuHBhy4CjhLggCIUdRLxS+ZRA0uv1aGhoQFNTE3iex+rqKrxeL6ampjA4OAin0ykNQFardcPCKMdJ5ntuxToXdMqERRS72GYYBhaLBRaLBXq9CYjK1LhtKCQsQu5nIRgMwmAwlN2+SRAEkQ45wyLkSn5dLGpwLoiJDJXYEeZ5HufPn4fP58ORI0fQ09NTkLAwPhvEl78L6Kp2FNQOvcmJIJx4bQJ4ZTQOIXIZ1VVx/OJN16QVFjaTKVdDunleOvfq8vIyLl26VJB7tRC0stuvxYSOSjoXRIcq5VzIkerqatTW1hatxpSz/jEji3Mht0VgsnJ86NAhNDU1bXmPkoq2mLjRZDKhs7MToVAIsVgMw8PDUtkfnU6niLjAsAxQyC2Q5tLnWwLJ6XTC7XZj9+7d0g66KDYYjUZUV1cjFjsExR+9oqtFKDNpkbODVtC4AJ7PX1yQezAKBAKSgEUQBKFV1OZcKKe4IPb3SogL0WgUPT09EAQBnZ2d0kJ8cHBQcg/m4tZ89ZwP33rDCX2VPAskVmcArG1YQRseeQVIPOtFrXUFp/YbcPNJN0zG7XeVN28q5eJe3bVrlyLuVS2FEiidn0AJlDwnUVygsIgc8Xg8sijR6QadAisT5o0czoVcBqnkkj+nTp3KqNIqFRbh9/vR09ODhoYGqYygxWLBkSNHpDj4aDQKt9sNnu9E6W+70imI2UogJScLYhgGRqMRTU1NaGlpAcdxWFlZgdfrRSgcAqBsyaNKcS7IueBWcr7Hc/n3XazMgk0gEEhbNYMgCEJLqE1cKHdYBFB6u/n6+jrOnj0Ll8uFa665RppfHj9+HMvLy5icnMT58+fhdrsloSHdAuibP17AW1Mt0JcwEba+qhp+rhrPDAI/6ovAJCxif3MCH+h0YEfD9mNkse5V8XqI7lVxg81isWhGJCgUrToXSh0aIxIKhSrCoaoacUEu0g06LAPkaAgoCjlyLvB89oZGIhGcO3cOLMuiq6sr6w2mhKJ++fJlDA0NYe/evWhtbZU6YJZlt2T3X1paglDkDnouFNp5H9jbktf7c3U1iBmTxXrKjlEzlkMFNbFghCKrRSjlXJBz4FXimRcpJCxCJ/MAK5ahvNonLwRBqBM5wyLi8SJLc8mEGsIigNKWw1xcXERfXx/a29vR0dGRspHi8Xjg8Xiwd+9ehEIhLC8vY3l5GWNjYzCbzZLQ4HK58Bf/uojZYIcipa1FdPoqJNCK84vAwFMC2hyTuPtXGnP+fKHu1T179qS4VycnJyX3anJVq1zQmnNBK+cioqRzoVIcqlePuKDAsVlWBnEhyw6z6BCoq6vDwYMHt1X/xNdL0TEJgoCxsTFcunQJ1113HaqrqzPG3SVn9zca9IiWOFSykHO9sesQPn/PB4s6brZkQcmDsSAoWMJEpMiJRyU6FwRewWzOBSR01G9TvztfgsGg6q1yBEEQxVLO8NfNlDssopTigiAIuHjxIsbHx3H48GHU19dnza9gsVjQ2tqK1tZWqbTj8vIyzvUO4Ad9bWBsB5UpR56BWuMkfvfjhed0A3Kf57Esm9G9Kla1crlcktiQzXWopYSOWnUuKHVOorigdlQjLsipaEejqVncWBaKqAuMrnhbTKY+ZHZ2FsPDw5JDIJfrldwByqmqJRIJ9Pf3IxAIoLOzExaLJeeEPsoMLPkchMEnbn0X7vqVTllbkDVZkKxHyg2hyKPq9KVXZeVWtLcxAclKIc4FvcyCTSAQUH0GYYIgiGJRU1hEudsijplyiws8z2NwcBDLy8s4deoUHA5HXokb9Xo96urqwLEOfOX5ZjC23N0CciPwHA7VXcRv/Gd527BdUsjNpS5F9+qePXsQCoXg9XqxvLyM8fFxmM1mSWhwuVxbFqtq36nOFXIuFEelOFRVIy7IRboswgpsugKQx7mwWaHkeR4jIyOYm5vDsWPHUF1dnUd75BcXwuEwzp07B4PBgNOnT8NgMEgDay4DjgLueuSac4Fldfjsb38IH3zP/hK3J1XtZhjlVdtiw1HkXginQ/acC0qKCwUkdDTILNiEQiHKuUAQhGqRcxNJLeJCuZ0LYhvk3N2OxWJSFYjOzk6YTKaCKkL0jqzhn56tgr6qfMICl4jg/YcW8NEbS9+GfEpdms1mtLS0SC4Pv9+P5eVlDA0NgeM4SYiorq4m54LKUbpaRCXM8zQpLmwedBTYdAXws4y1MhKLxdDX14doNIqurq68b6jksAg5WFlZwblz51BXV4cDBw5IHSfw87wC26FItYgcDmI0mvCX99+KIwe2VtnQJEXeA0qIC3Ir2kqOx4UkdDQY5O2YyLlAEMTVgNrEhXK3RU6BIxAI4OzZs3A4HDh8+DAYhslrA0nkh68t4em+OuhNyiavTiYRXcOv3RTAqWvqFD92PqUuWZaVKuYJgoBAIACv14uFhQWMjo5CEATMzs6ioaEBDoejohfn5FwojkqZ56lGXCiloq3XCcjPKl8YcjgXAEidy7lz52C329HZ2VlQORs57XJzc3MYHBzEnj17tiRuzOe3a3AE4V2tkl2ISSV7e5wOO/7pi/8fGuvKUye2LGERxVaLUGAwkz3ngmzftD2FOBeMRnm732AwWBGDDkEQRDGoSVwod0JHQD5xYWlpCX19fdi5cyd27dq1JYdArrwztIIf9dZAbyyfsMBFlvC/folBe7OrbG1IJp9Sl1arFXa7HW1tbYjH43jttdcQi8UwMDAAQRDg8XgkV4OxhFU3SkGpq5qUA6WdC5RzoQykS/Qj8wZhRuTIuQAA09OzGBu7gLa2Nuzevbtg4UV0ExQz6AiCgPHxcUxPT+Po0aOoqakpyB4n8psf0SEcieD5d5ZxdkyAN+QAa5B5QZQl9qKlqQ5f+/NfgcVcxg65LOpCkWERMicfTEdlOxcKCYuQP6FjJdjlCIIgiiFd+Gu5UINzQY553vT0NMbGxnDo0CE0NjYWNc87cdCFw7s5vPDOJfx0OIGloAv6Kk/B7csXNjaL/3OHDS6HOhfem4UGAFldDQCwe/dumM1mrK2twev1SnnYHA6HJDTY7XbVuwK0VPlCREnnAokLZSKdoq2UuCCXc+Gdnn68q+s4GhqKy2oLFKdocxyH/v5+rK2t5Z24MRvmKh1+4V1O/MK7Njqa3tElvNwXxcVlM3jWDaZIBZDJ4Fw4fu1u/NX9Hytrx/ZazxLWQw0AFLopf0bRzgWFwiIqVdEWCgiLiEZCeOutt6SJgdPpLGqACoVCqK2tLfjzBEEQpYRyLpSuDYWO8TzPY2hoCIuLizh58iScTqcs8zyTUYcPdtfgg90b/z04sYDn3wlicrEKvKFetvnyZuyYxP2/UQejoXxzibNDPgRCcbzrujrotim7Kc55MrkaQqGQJDhwHAe73Q6n04mOjg5Eo1H4fD54vV5cunRJCq+orq6Gx+OBwVBKh3BhVPI8LxNKOxcqwaGqGnGhlIOOUs+XXJ3lvv0HZREWgI3rWsigE4lEcO7cOeh0OnR2duaduDGf9l23z4rr9m0ocYv+dTz7HwEMTusQSLjA6gso25imbe/p3IPfvfNdiiqMm3nsqUk88e9n0bL/gzDblY0BFHD1JXRUkkLCIurrqrFr1y54vV4MDw8jHo9LSZw8Hk/eLoRAIICOjo6820EQBKEUhc5JklGTuKDT6RCP59//y0mhAkcsFkNvby/i8Ti6uroKTtyYC4d2OXBolwMA4F8L4Ok3/eifYrCeqIHeWPxiSRB4VDP9+M2POqFjy5cA8XsvXMKXv/pv4BIxGE02dOzqwPUnOvALN7ai2mXa9vPJroa1tTX09/ejsbERZrN5i6tBr9ejvr4ejY2N4Hkeq6ur8Hq9uHjxIoaGhuB0OiWxwWq1qsIxUMnzvEyQc2ErqhEX5CLdoGPSK9PRMDp5LifDymflKmTQWV1dxblz51BTU4ODBw8CQN6JGwulzm3Afz3jBgDE4wm80ruAt4Y5LKzbwBqcOX1HcvsYhsWdH+9E52EPhoaGEI/HUV1djZqaGtTU1KCqqgDxogC++LXzePnNIbFRihwzhSInc3InH0yHnGERHA8okWdFpJCwCEuVCbW1tVISp2AwCJ/Ph6WlJYyNjaGqqkoSGtxu97aDVygUqohBhyAIohjEPAdqsFjrdDpEIpGytqGQeZ6Y18tms+G6665LCe+QW1jYjNthxH85U4//AoDjBLzWN4vX+qOYX7ODNdXmfWyei+O6xjFcf0DA2NgYzp8/D7fbjZqaGtTW1sJsVib3w1e/fQHffOKHUnWuWDSAC0P9uDDUj6//C4vahlZcd00HPnRjO67b7856nn6/H729vWhtbUVHR4cU+sJxnFTmcnOuBqfTCbfbjd27dyMSicDr9cLr9WJqagoGg0ESGtxud0F53ORAiwkdlXQuhEIh1NUpn6A0X1QlLpRK0ZY5b1pGWFYei0QoHJPle4D8B535+XmcP38eu3fvxs6dOyVrVnLsl1IYDCxuPulA58Egenv/A6tRB6b8zZhcNCHGuLM4RTY6Lr3egAc/8zF0HWsDAOzfvx+BQADLy8uYm5vDhQsXYLPZpAHI4XDI3ulxHI/P/NVZDF2Y2tQ6ZbnaSlFG5HuEcoLn8w+LMCfl/WAYBjabDTabTSpNtbKyAq/Xi9HRUcRiMbhcLimRk8Vi2XKvVoqiTRAEUQyi0MpxXNkWSSJqCIvIN+fC8vKytHDdvXt3wYkb5UCnY3DjMQ9OH4ygt7cXvoAeF1eaML5gQlxXD1aXfbMtEQvi1k4fbjrRBgDYu3cvQqEQlpaWsLi4iNHRUVgsFtTW1qKmpgZOp1P2cxQEAZ/7+3fw/AsvZXkPj8X5i3hm/iKeeQ4wW93Yu6cDN57uwIff3QKL+ef38eLiIs6fP4+9e/eipaVF+nu2Upebf0ODwYDGxkY0NzeD4zhpPjE+Po5IJAKXy4WamhppPqEUWnMuiL+DktUiKsGhqipxQQ5EcUFUtDmOQzi4BqD0scisTM6FcogLgiBgYmICU1NTOHLkCGpra0tmj8sHv9+Pvr4+NDU1oXvPHqkda8EQnv2PAHonGaxGnWD1P+8cGYaBxWLBP/zp7ehorU75u91uh91uR3t7O2KxGLxeL5aWlnDu3DkwDCMJDXLEq4UjCXz6C2/g8uWFor5HFooU7RLxeMlj5eRUtCMKu1QLcS6YqzLfX3q9XnLXCIKAcDgs7UJMTk7CaDSmuBr0ej2CwSDs9vwroLz99tt44IEH8MYbbyAej+Pw4cO4++678fGPfzynz09MTOBf/uVfcO7cOZw9exZzc3PYuXMnLl68mHdbCILQNnJsIomCglrEhXKHaOSTc2F6ehqjo6M4ePAgmpqaCq78JSfr6+vo6elBdXU1Tp06IM0zguEInv3pHM6O8vBHq6E3pbpXExEffvvDcRzclTrPs1qtsFqtUrUF0RHY19cHQRCkso9yVFuIJ3j83oMvob/vbF6fCwf96Os9i77es/i/DxvQ1NyGk0d34fRBC6Lr07jmmmuy7lBvV+pSnPeLG4NiyCWwsfstzifGx8cll2R1dTVcLldJF8pacy4oLcpVikNVk+ICsPGDR6NR9PT0gBH2KXJsuZwLYRm3XXNRtDmOw8DAAFZWVtDZ2QmbzaYKYWF+fh5DQ0PYt29finoLAA6rHrfe5MKtN20II28NLuK1/hhm/RY0NdTgy/f9MlyO7FY4o9GIxsbGlHi1paUlTExMYGBgAC6XS1K70+0UZ2PJF8HvPvgqVlb8aV5V/noW61zw+7149dVXU0ogmUzbxw/miiAIsira0ZiyyrhQgHPBmmPFElEss1gs2LFjR8ouxMTEBL761a9icnISMzMzWFpayssq/OKLL+LMmTOoqqrC7bffDrvdjieffBK33XYbZmZmcM8992z7Ha+++ir+z//5P9DpdDhw4AAWFlQgphEEoVnE8MxyL+qByilFyfM8Lly4gIWFBZw4cQIul0sV87ylpSUMDAygvb0dbW1tKe2wmvX4xffU4RffszFHODs8h5d6wrjktYJheNz//1Whvjq7oG4wGFBfX4/6+noIgoC1tTUsLS1henoag4ODcDqdkpBvs9nyug6BUBy/8UdP49LFkQLPfgOei2P20hhmL43h374P2J21OHjAiJu7Erj5dENOySmzuRo2h09UVVWhubkZO3bsQCKRgN/vh9frxYULFxCPx1PmeXKHDmvRuQBAUecCJXTME7nCIoCNDmtwcBCNjY3YqavD6LIcLcyOXDkX5HYuZLumkUhkQ4BhGHR2dsJoNJZ9wBEEAZOTk7h06RKOHj0qqa2ZYBgGXdfY0HWN+JcP5X1MUdl1u93Yu3cvwuEwlpaWsLy8LMW/i0KD2+3O2jmOTa/jsw+9gnA4mKHBeTeveIp8rtrb23DddYfg9XqlkBK73S4NQMWGlIj36NXkXLBaChNndDqddN0BwOPx4KmnnsKXvvQlfPazn8WXvvQlfOADH8B//s//GR/6UOZnIZFI4K677gLLsnjllVdw9OhRAMD999+PU6dO4b777sOtt96KnTt3Zm3PDTfcgDfffBNHjhyB2WxWLI8JQRBXJwzDqCapYyWERcTjcfT29iIajZY8cWM+zMzMYGxsDAcPbp/EnGEYnDjowomDroKPxzAMnE4nnE6nlJdgeXkZy8vLkiNQFBo8Hk/WBeP8Uhif+qPvwbs0W3B7MrG+uoSfvrWEn771Jv7cUIXWnR3oOt6B/3TTTjTVbh/CsJ2rYXOpS9HJIeZ+8nq9uHLlihRSklzRqlhhQGvOBY7jSp6LLplQKETiQjkQf+D+/n4cPHgQLS0tuNyjzLFlcy5E5VsZZRv41tbWcO7cOXg8Hhw6dAgAFEvokwmxLJLf78fJkyfL9hCZzWa0traitbUVHMfB6/VieXkZg4ODSCQSKUkhk3fw3xrw4sG/fw2JeLQs7c5EsdUidLqNnAAOh0MKKRFLIPX19YFhmBS1O9+QElFckEvRjlWAuGCzyuP82Lt3L/7X//pf+Id/+Ad897vfRSwWw9NPP43XX389q7jwwgsvYGJiAnfeeackLACA0+nEfffdhzvuuAOPPfYY7r///qzH7+joqIgYQIIgyo/WylGqJSwi0zwvGAzi3LlzsFgsOH36dMp1K+cG0ujoKObn53Hs2DG4XC7F2wAAVVVVaGlpQUtLCziOg9/vx/LyMi5cuIBYLAaPxyPN85KTQg5NruLuzz2J4Lq35G1MxCOYHB/C5PgQvvkE4KltwbUHO3DLu9rxrutyS3652dWQ/G+zq8FiscBms2Hnzp2Ix+PSNTl//jx4npeuicfjKci9qkXngpLPUaXk1tKUuJBIJHD+/HkAwDXXXIOmpiYAQI7u46KRqxRlRMZt10yDzsLCAgYGBrBr1y60tbVJiqb4mXIgqus8z+PUqVOy2u6LQafToa6uDnV1dRAEAevr61heXsbly5cxNDQEh8OBmpoanBsDHvtuXw7J/cozmBeDnmVT1G7xmjQ0NIDneaytrUm1loeHh+FwOCShIRerYXJ8oBxEE8pe40ISOtoKdC5kIhgMSkLhzTffvO37X3rpJQDALbfcsuW1M2fOAABefvllWdtIEAQhB2oRF9QSFpFujPd6vejt7UVLSwv27NmTsphUcrc1GTEMNxQK4dSpU4omE8yGTqeThIR9+/YhGAxieXkZCwsLGBkZgdVqRU1NDSYW9Pjzf3ga8WgGZ2qJ8S3N4qWXZ2Ew6PDuY/lXDUgXPiEKDelcDTU1NSlzX6/Xi8uXL2N4eLgg96oWnQtKrZlEZ0khubWURlXiQjE3XDAYRE9PDwwGA4xGY0qHJfMcPiNyhUWUMueCGHIwOTmJa6+9FnV1daqwx4VCIfT09MBms+Gaa65RLH4pXxiGgcPhgMPhQEdHB2KxGJaXl/EvP5zBy/9xqejwg5JRZM6Fqioj9Hp9xhJIDocDLpcLu3btQjQalZIFTU9Pp9j4/3/2zju8rfLsw/eRZEveS16xkzh2nB2ynQlhBLIHBcoulNJS2o/u8UFbSiml0MJXaGkZZQUoO2FDEgIJIXvYThw7jh3vreGpPc75/nAl7MRTkiU56L4urjaWztEr6ei8z/t7n+f3JCYm9mnA5Wthy2L3s7jgQeZCTLTvygecTidms3lYmT7l5eUA5ObmnvNYWloa0dHR7ueECBEiRDARLOJCsGYu1NXVUVpaytSpU8nIyAgK40aLpbsjhEKhYMGCBV6bZo8UPbs3uUwh9Xo9W3bW8Ob7BxGdfm5H1XtwXHfVGn54/TSvT9Vf+UR/cd7Z2auuOK++vn5I2au+9tYKBpxOp1/XK0ajMVQW4S9cLrAZGRlMnjyZvXv39vpRRKn8oyr7qizCahv+Lmh/9FS0nU4nJ0+epK2tjYULFxITE+NWKYOlI0Ruj44Qo4GwsDA2f6zny0M1Qz5mNLaiDA+XuyeLwVogKRQK0tLS3E7ULvPByspKiouLiY+Pd09ALqNMX2cu2P2cueCJoWOsD8UFo7F7F2U4k05HRwfQXQbRF7Gxse7nhAgRIkQwIZfL3fFLoMcR6MyFnnOoKIqcPn2axsZG5s2bR0JCQlBsIPXsCDF16tRRtcAMCwvj7V163nx3r9exlDfIZAq+f9tGrl89MmWI/ZlCukSBs7NXU1NT3YboQ8leDXR29EggiqJfxYVQtwg/0HMXfvr06e4yiLMVbX9lLviqFaV1BDwXXJ0zJEnqZdzoUhGHOuE0as1s/qiZRdNjuGhuInK5dzcJV0eISZMmMXbsWK/O5W+cTpFfPnqE0rKhCwsABKjG0RvCwr66tofbAik+Pp7ExERyc3P7banoWhT7KvDxp+eCJ1kLADExgRUXQoQIEcLfnI+eC4EWF1ybSHa7nePHj2OxWFi8eDEqlcojYaG908a/39czIzuMyxYkDqlbwUDodDqKiorIyso6pyNEsCNJEvf+4zC7v9gT0HEowlTc/aOruGLJGL+83nCzGnpmr1oslj6zVxMSEgDf3QOCgZFu0d4TTzJUA8WoFRccDgdFRUV0dHSwcOFCYmNj3Y+dPen4cINwQHyVuWCx+W7ClMlkmEwmDhw4QEJCAtOnT+/Vwmk4E05BaTv/2NIJ8ijKm0Ve2tFIYpSVeVNUrFmaTHzM0M0tJEmiqqqKmpoaZs2ahVqt9uj9BQqj2cGPHtxHU1NLoIcyNLzNXFD0r8wOpwWSUqlkzJgxvQyU9Ho91dXVABw/ftytdvc0UBouVj9uaHkqLsTFeP7+zsZoNKJUKoeVZurKWOgvO6Gzs9MdDIQIESJEMBFM4kKgxyGTybBarRw8eJCIiAivjBvLaw08/q6AXJVD/Un4qMBMhKBhxngna5YkkJwwvN264XSECDZsdpEf/+lzThb5yRW+H5SqGP589zUsmDFw57SRZKA47+zs1bCwMNLT093lOK7s1aqqKgCKiopQq9W9sldHK/70XDAYDAAhz4XhMtQLzGAwUFBQgEqlYsmSJYSH917UniMu+C6GHxBBJgNB5vVCzubDbVer1YpGoyEnJ4cJEyaccxMYKh/saWHrXgeC/CulRpCH02YJZ2chfJqvR6UwM3WcnFWLE5k0vv+Lv2dHiPnz54+KH8rZfLy3kS6DOdDDGDLeZy4MLe1ruC2QXM7D6enpFBQUkJCQgFarpby8nIiICLfQEB8fP6zr1Z9lEZ6YOQJEKH1Xb2owGIiKihrWJO3yWigvL2fevHm9HmtubsZgMJCXl+ezMYYIESKErwgWccFVFiFJUsAWSTabDY1Gw9ixY5k8ebLHxo1f5rfy+v44FKqvYjJ5WAQ2xpPfAEffcCKztZCVYmbF/ChmTozt91zB0hHCG3YdbqZZo+/ONg2Qn1ZUTBJ//8M1A8bU/sbT7NVx48axb98+1Go1bW1tvbJX1Wo18fHxQeu31h/+9FwwmUzA6MhQDSpxYShoNBpOnDjB2LFjyc3N7XPBcXYtXndGt4Q/qt1lMoXXZi9WH2QuuDID2tvbSU1NJTs722NDn3++WcvRinCEATIzBJkcqxhNYTUUVpsRRD1jk0WWz47tVT7hSttzOBxB1RFiuFxz+TiuuXwcdS0mPtxdz9GiJpo1OiRxKN9dIAIQ7wSvsAEyFwZiqC2QXOqvq/2nw+Fwt7osKSnB6XT2Mgsa7Lqx+VNc8DBzwZeBqNFoHLbr9vLly/nzn//Mjh07uO6663o9tn37dvdzQoQIEcJXnI9lEUDAxIX6+npaWlqIj49nypQp7kWea2E3VP6zrZmDVZkowvvPQJXJ5KAaQ3UnPPs5OD5uJTmqjUVTw7i0R/mEqyOE0WgMqo4Qw2Xl0jGsXHotLXoLH+yqYd+xSqqrzuCwW/zy+gnqDJ5+4ErSk/20Q+ohQ81etdu7Y6WxY8e627y7sldPnz6NzWYjISHBJ9mr/sKfnguuDNW+TNGDjeAf4X+RJIkzZ85QXV3NjBkzSE9P7/e5gZx0ZHLvxQWb3bucblEUKS4uRqfTkZKSQmRkpEd1d3ank/uerqGpM3rYNgGSLJJaPbz82X/LJ6KtzMpRkB5RR3JSNHPmzBl1CmVfjE2N5M5rJ8G1kzBbnezY38yeow1UVLdgswZPZoOvMxfsTidPvF7H+HQlKxcnExUx+K1koBZIbW1tKBQKbDZbny2QDAYDer2epqYmd1uoni2Qzg6i7H78+Yvi8MUFXwehLgfh4Zz3sssuIzs7m1dffZUf/ehHzJ49G+guk3jwwQcJDw/nW9/6lvv5TU1NdHR0kJ6e3q8JZIgQIUL4g2ARF1xxjD/To6F7Tj99+jQNDQ2kp6e7y12HG+dJksRf/9NMvTEbmXx485JClUibM5FPTsKHBSYiBA3TxtrJiKwjMU5BXl5e0HaEGA6pSSpuv3oyt189GZtd5LNDzezcX0lJ6RkMHdoRec0xmTk886d1xEUPvdzY10iSxFNbm0mMlbFyYQLxsYOPZaCshra2NuRyOXa7/ZzsVUmSMJlM6PV6NBqN19mr/sLfZRHDzVANFEElLvT3gdntdk6cOIHBYGDRokWDptH3Nen4K6vJF74Ldi9WRjabjYKCApxOJ4sXL6ayshKDwYDVakWpVA7d0KfLxm+eqsfs9D79RpCH02YOZ/dJkMQcIhRmppTWs3pJErnjgj+9Z6hEKOVsvCSDjZdkAFB4uo1PvmygqLSJ9vZ2urNnIBCZC946HPc0dLRYHfz6nzV02WIoqoMPDmqJDDMzZZycVYuH9p26bsYymYzq6mrq6+u54IIL3CmmZ3s1REVFERMT06stlF6vp6ioCEmSerW6DA8Px+7032csOYcvBspkvhcXhusgrFAoePbZZ1m5ciUXXXQR1113HTExMWzZsoWamhoeeeQRsrKy3M+/++672bx5My+88AK33nqr++86nY5f/OIX7n/b7XZ0Ol2v5zzyyCOjzlclRIgQwYtCocBqtQZ6GL0Ec3/hcDg4fvw4JpOJRYsW0dTURGtrKxaLBZVKNeQ4z2Rx8IcXWrHIc7z2mZaHRWIji8ImyBezEWwtTDijG7R8YrQRHiZj9bIxrF42BljGqcpOPthdxdHjFTQ3Vg8xe3Vgxo6fyN23TcZh7UKMTAjIotrplPj9cy10kQN62HvGgczRQnaKhUvnDf07dW0q1dfXu833+4vzIiIifJa96i/8aejoEhdGA0ElLvSFwWAgPz+fyMhIlixZMiQVtC9xQSaA0w/iguCDjhGeZi50dXWRn59PXFwcM2bMcKuCZ86cYe/evSQkJKBWq0lOTh4wTa281sBDr+iQZL5f+AsyORZ3+YQJQdQxLlnkorPKJ84HZk9OYPbkBGAGunYrH37RwIGChoB0i/BWWQv/b+ZCp9HO//6zDov4lcAnyOSYndEUVEFBlQlB1JOR5GTpzGguXZDUr1+DKxupsbGxl/fGYC2QZDIZKSkppKWlIUmSuwVSXV0dJSUl3S0UO+cC/tld9yRzIRjEBYBLLrmEvXv38vvf/5433ngDu93OzJkzefjhh7n22muHdA6DwcDmzZvPGU/Pv913330hcSFEiBDnZVlET5PskcZkMpGfn49SqWThwoUoFAri4+PRaDTs27ePuLg4d5w30C5no9bMQ6/ZEFRZPh9jX+UTKVFtLJoWxiXzve8+EUxMzY5lavYsYBbtXTY+/KKOPYcrOXPmDHarYdjnmzc/j//99lRaW3UUFxfjcDhITEwkOTkZtVrtl0W11ebkd8/qsSq+ankpkytAnkFlB1T+9ztVR7Yxf7KCy/MSUSn7z0Surq6mqqqKOXPmuE2iz85e7SvOG0r2qlqtJjY2NmC7+f72XAhlLviA5uZmioqKGD9+PLm5uUP+QOVyOTZb79IEmQD+uPX7InPB4Ri+Aq7Vajl+/Djjx48nJyfHrQomJSWRnJyM2WxGq9W6zfIiIyNJTk4mOTmZuLg492f7xTE9L24zI8j9UyMnySKpOat8Yv6UCDYtTyFCFdSX57BQxyu5+rIUchIb+LQqnA7/lOy58TZzQRmmQNdm5Z6nG3EwsOgkySKob4M39sDru5uJVVmYma1kzdIkxvy3dlCSJEpLS9HpdMyfP7/XwnioLZBcRlUxMTHExcWRnZ2N1WpFr9djq/LfLpInngu+FtE8FRcA8vLy+OSTTwZ93osvvsiLL754zt+zsrK8LrsJESJEiOEQLOIC+K8dZVtbGwUFBaSlpTF58mSge3ETFxdHXl4eNpvNHedVVlaiVCrdcV7PtPKC0g6e/TQChar/8mJfolAl0upM5OMi+CC/u3xiZpbIxosSA5r272viY8K5ekUG2YktREQsosORzqf7qjlRUkG7vnHQ4y9fcQn33jkfgLS0rxbVWq2WhoYGSkpKiImJcQsNI7GoNpjs/O75TsTwrAGfp1Al0i4msvMUbC+yEi62MHmMnZWL48hK714/SJJEZWUldXV1zJs3r1dXv+G2uuwve/XEiRN9Zq/6C1EU/eaB4E2c52+CavXm+pFIkkR5eTk1NTXMnDlz2O1r+pp05DL/1GHLfJK5MPSBSpJETU0N5eXlzJgxg7S0tD6NG89ON9Lr9Wi1WgoLCwFITk5mX0k4B8qjEeSBudm7yidOVhi4ekXwK3PDob29ncLCQjIzM1E2KsHP4oK3mQv6Djt/+k8Tkmx4NzZBFkaXLYz9pbDvVCcKmslKhZzkDjLiu5g/f/6gpj3DaYGkUChIS0tDFRkFnZ691+EielAWoRgBcWE0OAiHCBEihC8INnFhpMfiWlxOnjyZsWPH9mncqFQqyczMdLd6dsV5RUVFiKKIWq3mZF0U+6pyUCgDY5bnKp84WVPNN4fYhWq04Mq0VqvVTJkyBZlMxsUL0oBFVDca+GB3DYfyK6irrertzSYIXHfVGn54/bRe53NtnsTExJCdnY3NZkOn06HT6aitrXXv7rvaOnq7yG3tsHLfZguCauywjpMrlDgZR4kOit+XEK060mI6yVa3khalJS9v/qDxSX9xXs/shp7P6y979dSpU8TExLizGobrRTVcnE6n38QMg8EwauK8oBIXoNsz4MSJE5hMJhYvXuzRB9mnuCAHfNfhsV98krkwxEnK1dJRq9WyYMEC4uLihmToo1AoSE1NJTU11d2D9m+vNVHfGYvg43Tt4SBJErOzLPz4+uzBnzyKcE3uubm5jB07Fo75fwySl90i/r6lg7AI73osC4KAkygqNFChiUJy2ngvv5G5k1WsXpJMgpdmQT1bINkd/ttJ96QswtfiwmiadEKECPH1xZdlET27ggUSVw35SOBq6VhXV8ecOXNISkoaUpwnl8tJSUlxp5V3dnby9DvN1FmmIg/woj5NVcH/3pw2KtK7h0pbWxuFhYWMGzeO7Ozsc95b1pho7rphOnfdMB2TxcG2vQ3sPlRF+ZkqvvXN5Vy/evC4Nzw8nDFjxjBmzBh37K7T6aioqKCoqMhd+qxWq4e9w92oNfPga07kXmazCIKAXJWM1p6MtikHp93ItlIt08cbWL04gZTEwcs6htvqsq/sVb1eT21tLXK5vFdWg6+zDPzdLSKUueABZrOZAwcOEB0dzeLFiz12mVUoFOeICwo/lXj5wnPBOYSyiLONG8PDwz1yCrbaRB54qY12S3JArABcSKKT1fPhm1eMD9wgRoCGhgZKS0uZMWMGqampwFe2jn7Fy8yFkSiTEeThtJrD2VkInxa0opSZyM2QsSIvgVmThuaX0J/a7RD92Ypy+AGup609+8NkMo3adl8hQoQIMVyCLXNhJMQFh8PRy8w8KirKozjP4ZT4v7fMtItzCKThvig6mJVew+0b/VOO4S80Gg0nT55k0qRJZGZmDvr8SJWCb6wYzzdWjAcu9ug1XZ5qiYmJTJo0CZPJ5M5qcHVacAkNCQkDm0KeqTfyt61yFKoUj8YyEPKwKKxEkd8Ax950gk3L2EQjy2dHsGB63JCu4aG2uuyZveoSYDo6OtDr9VRVVVFcXExcXJxbbPCFf4E/u0W4PBdGA0ElLkRERDBx4kTGjBnj1Rfe16SjkEv4w6VfJvP+Ix0sc8GVehUTE8OMGTN6vd/hTDiNWjP3PdeMg4G7b4w0ktPGbasjuHCudzvjwYQkSVRVVVFTU8OcOXNITEzs8WAgxuNd4CPIRlaZFQQZNima4noorreCs5bUeAcLp0eycpF6SP4bPdVuUfJjtwgPMhfCw3176zUajQO25w0RIkSIYEEQBK99WoJJXBiJsZjNZvLz8wkLC2PhwoWEhYV5JCy0d9r4w0tdiOGBzQh12i2sntXC2mXn1zxVX19PWVkZM2bMICXF94vzoRIZGXlOpwWdTsfJkyd7+a+d3WnhRHknT2+LQKEaeQNsQSYHVRr1JvjPfti8q5O4cD1zcmDV4kRiogbfUB5uVkNcXBwJCQlMnDgRs9nszmqoqqoiPDzcLTQkJCR4lIHgz8yF0ZShGlTigiAIZGRkeH2ePsUFP71TX5RFOAdoa+Eybhw3bhwTJ07s0+BuKBSUtvOPLZ0gD6wKJohmfn1TIpPHB1bg8CUus0KNRtOrC4L78QCNyRsEH4hmw0KuoqULth0ycOl8ieFWhzqDPHMh3MdpqSHPhRAhQnyd6CtDNVD4OnOhvb2d/Px8UlNTmTJlCoBHG0jltQYef1dAPswael/jsHZw2woj86YmB3QcvsRlVlhbW9urC0IwoFAoepXEdHV1odVqqauro7i4mNjYWNRqNTW6CLYcSUOhDEzsoFDGYiSWL0o0LJvtHJK4cDbDyWo425Okvb0dvV5PWVkZNpuN+Ph4t9gw1ExQf2YuhMoivGCkFO1wP5WY+aQsoo9JSpIkamtrKSsrY/r06aSnp3ukYgPY7U5e+1SPJET4IZejf8IFAw/cmYE6ITj61foCp9PJyZMnMRgM5OXlDWpW6De8zFwIRJ9llczAX/5nLNGRw59w/BlzetItQjkCmQujZdIJESJECG8JpswFXxo6NjY2UlxczKRJkxg7dqx7weR6naEiSRKv7uwCeWAzBURLC7+6Rsb49PiAjsOXiKLo7na1YMGCoBb2BUEgNjaW2NhYcnJy3J4E2w9oONY8EUV4YGNU0dLMfd9Soo73fh3QK3v1v+uonlkNZ7e6TEhIICkpidzcXMxms7us5MyZM0RERLiFhp6dVs4Zvx8zF0wm06jJUA06ccEX9CkujKrMhd4LQVEUOXXqFC0tLcyfP5/4+HiPhQWAsDA5f7krB4vVwbYDOg6eNNHSEYYg998iP0HVxYM/yELpL9XHD9jtdgoLC5EkiQULFvTrIBuIrn2jrVVgdFgXf/mf8aiUnv1wnf7rROmRoeNIiAvBHOCECBEihAtfbiJJkhRwY0BfGDpKksSZM2eoqalh9uzZqNVqr+I8QRD4/W3p2Owinx+p5eApB1pTAgql/3bY5bY6HvhOrEc70sGK0+mkqKgIk8lEXl4eKpUq0EMaFkqlksNlCvI185GHBbgNqLWBB26LGpF2pC4xoGdWQ8//zs5qUKlUvcpK2tra0Ov1nDp1CofD4RYikpKSen3n/s5cGC1x3nkrLpztIhwW5p/FlS9aUYo9Jl2bzUZhYSF2u53FixejVCq9mnB6olIq2HRxGpsu7p7YDha18dmRDqo1Ak4iRmTCliSJ3FQTd3/7XDddfyJJEps/bCAnI4JlcxK9HovFYqGgoACVSsUFF1zgNyVz6Phxte0lccou/vI/WYR5UTrgT88FT8oiVErfBltGo/Gc8psQIUKEOF/pWXMd6PnW28wFh8NBUVERnZ2dbuNGVwzrbZwXHiZj1RI1q5Z0xz2Fp5v47JiJGn0UgjIFQRiZhVGcrJLffT+FMH+5qffDG5+2kBSnYPncBK/H4tpAAliwYIHHpvOB5OWPmzlcO84naxVvkNnqeeD2WKIi/DOOgVpd9pXV4PKokCQJo9GITqejubmZsrIyIiMj3e0/nU6nX7tFhMQFDxkpRXsIfnA+wReZC6LY/f6NRiPHjh0jOjqaOXPmeGzcOBQEQWDxBYksvqDbeLCi3sAn+1spqXZgdkT4xNBPkkQmJzdywwo1FoslYCUDdruTe56sRm+KYU+xk+c/aUAdY2XBlEhWLVUTO0yV3WAwUFBQQGJiIlOnTg1ICcFgSCPUJsvXqKMM/PkHE5B72arRr5kLHpRFqFS+FxdCZREhQoT4uuAK6P0Z3PeHN54LFouF/Px85HI5ixYtchs3SpI0InHenClxzJnSbd5Xr2njk/0dnKoPwy5PRSb3fgdZkkQSpWPcekUUNqsZhTwyIBtJkiTxp83NaG05ALx7xEiUTMPMCSJrFieQGDe8TF3X9xQZGcnMmTMDfs15wpNbmzilnRDwGFVhr+VP301ApQzMZ9ifKaTLEPLsrIbIyEiysrLIysrCbrfT2tqKXq+nqKgIu91OVVUVqampJCUl9Zux7AtCho4Bpi9FWxk+ejIXJElCr9dTWFhIZmYmubm5bmXNZdo40jfrnMxo/ueb3Rdxe5eNj/dqOXraQptRieDBBCSJdq5cIjE7W41Wq6WsrIyoqCjUajXJycnExQ2tJY23dBrs3P1kHWbnV7u8gjwcvSmcbfnwyVEdkWFmpo1XsGZpEhMyBl6wtbe3u7+nnJycIb2HgBg6BqYB5rBIjzXwwJ0TfHId+FNL8aRbRIQPxQVJkjCZTKNm0gkRIsTXG1/c410LBIfDMaIB/VDwtCyio6OD/Px8kpOTmTp1KuCZcaOnZKZE8N1N3Zs8RrOFbQcaOVYu0WFXowgffiac6LSxeEINF82IQ6vVUlFRgUqlcsd5A9Wu+xKrzcm9z+mxyHPcf5OHRWEhiiO1cKjagczeQk6qhSvyYpiSNfDc6erQplarmTJlSsAX556QX9rByYZEFMrAjl3prOaB76kJDwuez3AgU0jXfz2fl5ycTGpqKpIksXv3biIiIqivr+fUqVPExMSQlJSEWq0mJibGp7/h0RTnndfiQk9F28dZyP0i+CBzQRIl8vPzmTZtGmPGjHFf5K50HX8THxPODaszuGxuCydOnERvz6S4NoyGVjnIhpB94LTw46tjmT05HoBx48Zht9vR6/VotVoKCgqQyWTuCSgpKWlEVOEGjYn7nmvBKfT/4xRkcszOaI5VwtEKA3JJy/hUiUvmxrF0dkKvG4VWq6WoqIjc3FzGjh2GG3NA1IXgzlzISjLyu9t9IywAiH78jD0pi+ho11NaWupugaTwsp1NKHMhRIgQXycEQQgaU0dPyiKampo4efIkubm5jBs3zmPjRl8RFaHgqktTuHiWnoLCL2i3j+F0cxxNnXHIVepBj3fYDFy3pJ0L53Z3fHM58rvivKKiIkRR7BXnjURZQVunjfs2G0GZ1e9zZDIFKDOoaIcnd4DToiM1poMl08O56Kzyiba2NgoLCxk3bhzZ2YEt5/WGuVPimDsFCsua+fyYkRptBGJ4KrIRbjPekyipkj9+LxW5PHg/w+G0unRl2o8fPx6VSoXNZnO3uiwsLEQQBLdPQ2JiotfX+2iK84JOXPDFD7enuOAiwk/Ctk8yF8Anxo2+QpIkqqurqaqqYvbsC0hO/qqd0PGyDnYcbKO8UcIunZv+JpeM/P72VDJTe7d1CQsLIy0tjbS0NERRpL293Z3RYLVaSUxMJDk5GbVa7RPDnOIznTz6RvuwWm8KgoAoRFKlhartDp77+L/lE1MjmZNtp7a6nBkzZpCamjqssYzGVpQjyeR0I7++ZYJPz+lXccGDzIWMManI5XIqKiowm83ntEAa7m895LkQIkSIrxvBIi4MJ3NBkiQqKiqoqqpi1qxZJCcnu3dHAxnnAdTX13P69GmmT5vWy5X+dHUL2w8bqGhRIYaldi/Oe+Cw6PnRBgeTsxJ7/V0ul/dqidjR0YFWq6WqqoqTJ0+SkJBAcnIyycnJPimTrWky8te3QK4aXkt7uUqNzq7m/ULYethItFzDBRNE8iaJ1FWXMmnSJDIzM70eXzAwe1IssyfFAqBr72TbgXaKqgWMYjLysJFbuMbLKrnvO6kBF2d2H2slLSl80GwVFwNlNXR2drr/7nA4UCgUpKamkp6e7n5cr9dTXV1NSUkJsbGx7qyGqKioYX0WLu+H0RLnBZ244Av6UrQjlH4qi5D55iMNFmHB1alCr9ezYMGCcy7sWZPimDWpu36vSWfmo716TlRY6bJGEB1u4c8/GLyVoEwmIzExkcTERCZNmoTJZEKr1dLU1ERpaSkxMTGo1WpSUlKIjo4e9mfxxTE9L24zI8i9Eync5RPH4JMjoJKP53SrlTVLjWSNCW41UfIic0EmE7hqKRw4aaCxbYjZKkMak0ROko7vb8r0ueO3P7UUTzwXkuJjyc3NJTc3F5PJ5Fa7KysrCQ8Pd5sFxcfHD5rF43A4sFqtoyZdLkSIEF9vfHWvDxZxQSaTYbPZBn2eq9NAR0cHixYtIjo6OijiPFenioaGBubOnUtCQu+OEpOzYpic1R37tXZ08fH+dk5UyTBJKcjFNu67OYLkhIEXPYIgEB8fT3x8vHve0+l0vcpkXUJDbGzssD+LwtOd/HtHBApV3PDe/FkowrvLJw7XwsEqB4JNSa7OxhV5Xe7P4HxBHa/kptXdm2N2h8ie/Dr2F9to6RpatspQiXGe5MdXxwe8s8vLHzdzpHY8gkyOw6InJaqdvKlhXDo/YUid63pmNRgMBoqLi8nKyiI8PLxPU8jY2Fji4+PJycnBYrG447yamhoUCoV7Q2mo2asmkymUuRBozhEX/JS5IPjIgdVqtSGXywI64djtdk6cOIHdbh9Sy510dQS3b+pWd80WB+FhsmEb8wmCQFRUFFFRUWRlZWGz2dwTUE1NDWFhYe60usTExEHTB9/a2cTHh/HIJ2LAccrkWKVYjlbAkTMG5GgZn9J3+cTZBCSJwIsXFQSBtRemsPbCFACKyjv49HAbZfUiVjHSI7dpSZKYmdnOillO8vPz3WUxrkW1t2UCfhUXxOGXRUREKLDZbO4WSGPHjmXs2LE4nU53C6TS0lLsdnuvFkh97e4YDAaAkLgQIkSIrxXBIi4MJXPB1VFKEIRexo2BFhacTicnT56kq6uLBQsWDLp4SYz7akFqszuRpBiPWopHRka6W//1LJPtGQ8MtUz200M63juqRqGMHPB5w0UmV0DEWM60w5me5RMzwrlojvfdJ4KJMIWMy/KSuCyv+9/lNRp2HOniTLMShzwVmdyzlP4URQkbl5g4caIWSZJ6xXn+9Ep58cNm8uuzEP67ZlCokmh1JrHtJHxUYEGFhimZdlYtijsn0/psDAYDR48eZezYseTkdPt6DNbqMjw8nIyMDDIyMtzZ2nq9/pzsVbVaTURE3936Qt0ivGCkFO3I4RnDeowvukUAGE1W4mID47ILYDabKSgoICIigvnz5w97sRfho/Yc4eHhjBkzhjFjxiCKIq2trWi1WkpKSnA4HO52MWq1+pwb1ZNv13K4PNx9MxkpBEFApGf5RD3JsTYWTI1k9RL1oJkb/sCbzIWzL8GZuXHMzI2jpqaGEyWn0FjGUVIDrUM0+5QkkYumO/j2hskA7hutTqejoqKCoqIiEhIS3JOQJ0qtP8UFyYPMhdjoCGQyWZ9qd2JiImq12p3Fo9fr0Wg0lJeXExkZ6RYa4uLikMlkGI1GwDNx4ciRI/z+979n//792O12Zs6cyc9+9jO++c1vDvkcVquVhx9+mJdffpm6ujoSExNZt24dDzzwACkpKcMeU4gQIUIMhWARFwbrFtHZ2cmxY8dISkpi+vTpCILgV+PG/rBarRw/fhxBEMjLyxv2Ys9XpnxDLZNNTk5GqewdzL+2o4X9FZnI/dAW0l0+UQBbD3WXT8zKllizOIH42MCaivqa3PHR5I6PprGxkfzCbegd2ZxuiqTDloRCGTvo8ZIkkZtQyV3fzHL/u6OjA51OR01NDcXFxcTFxbnjPE+ykofKc+83c7wxq9+1gDxMhZ1xFLXAiXdFJKuWMfEGls5QsnRWQi+PiL6EBei7fMIlNPQV58XHx5OYmNhn9qpSqXTHea7sVbvdPqIZqr6IBXsSdOKCrzh70hHtnUDSiL+ur3rHmix24uMCM+F0dHRQWFhIamoqkydPDniNlIueu9tTpkzBYDCg0Wioq6ujpKSEuLg4t9Dwt9c1VOmiz1kY+wNBrkRnVPLJUfiisI7Hf5rldWtF7/Eic4HeH6IkSVRWVlJXV8dFS+YSF9edhuh0iuzJb2VPYRd1WgGncK76KkkiK+eKXLfyq/rFs8tizGYzWq0WnU5HeXk5KpXK/b0mJCQMyezKn8khMmH4wk1CfDRKpXLQFkgRERHu3R2Hw+FugVRcXIzT6eTVV18lNTUVlUo1bBPUXbt2sXLlSlQqFddddx0xMTFs2bKFa6+9lrq6On7+858Peg5RFNm4cSPbt29n0aJFXHXVVZSXl/Pss8/y2WefcfDgwV4eLSFChAjhKxQKRdCIC/2No7m5maKiInJycsjKyjrHfT5QuFpox8fHM3369KDpgHB2PGA0Gs8pk3UJDS9+0kV5WzayAMRXrvKJQzVw8HQTf7lDHrDWiiNFXV0d5eXlLF44m6Sk7vWTJEkcPNnAnkIz9W0xCMrkc7JXJUlkRkoV37vyK9+OnmUxEydOxGKxoNPp0Ol0vcpB1Wo1iYmJPjN1f+adJk5qJgx5k1EQZAiqVJotqWw5Cm/sNxAt1zJzgsiFM8KoOlN0jrBwNn2ZQg6U1TBY9uq7777r/vxHwnPBF7Hg2XwtxIW6ujqqzjQAy0f8dX2WuWAevH5vJGhpaaG4uJiJEycybty4gIxhKAiCQExMDDExMe56Jp1OR2Ojhodf68IqDM9kcSSIDe/ioR+ODwJhwXeZC5IkUV5eTlNTE/Pnz++losrlMi5ZoOaSBd21ehX1BrYdaKWk2oHJ3p3Ov2GxwJWXjBnw9fpaUOt0OoqLi93ZKq5J6OxdjEBgt3uWuQDDa4EkCILbe0SSJLq6uti+fTvvv/8+FouF+fPns2bNGtauXUteXt6Ak7PD4eC73/0uMpmMPXv2MHv2bADuvfde8vLyuOeee7j66qsZP378gO9j8+bNbN++neuvv57//Oc/bjHpqaee4s477+S3v/0tTz/99LA/nxAhQpy/nG+eC32VRbhE+MrKSi644AJSUlKCxrhRr9dz4sSJoO+AIAgC0dHRREdHM2HCBHeZbHOLhn++b8cROScgG0i9xmit5/7bos87YcFl4j537lzi4+PdfxcEgcUzE1g8s9uXo17TxvaD7ZyqC8MipCCThTEvs4Zb1qX3c+ZuVCoVmZmZ7q4ibW1t6HQ6SktLsdls7gzO5ORkj03dn9zSxCmdd9e3IjwaC9H/bWHqRLIITGi0cIm9gzmTh+YN0l+cJ0nSoNmrRqOR/fv388EHHwCwZMkS1q1bx5o1a1i6dKnXHSh8FQuejSAFmY28KIoeBetnc/jwYdLT0+nq6qKpqYnsSXN59MM0H4xwYExdzZTu9z6YfuKB65k11X/utJIkUVNTQ2VlJTNnzhyVu43tXTbuebIeixj4mqS0WAN/vKPvjIV7X1HRYfKv4FCy959YjDqPjlUqFex89adIkuQ295w3bx6RkUOvbzSaHdQ1m5kywXPV1bWgdqndnZ2dbrPP5OTkXj2Ff/xMBOCfqKNw50OITuuwjnnrqe+Rljyw8dTZLZBct2rXBOT63z179nDHHXfw8MMP8/HHH7Nt2zaeeOIJrr/++n7PvWPHDlauXMm3v/1tnn/++V6Pbd68mVtvvZU//OEP3HvvvQOOccmSJRw4cIDq6upek48kSUycOJGWlha0Wq1PnMBDhAhxfuCrOO/48ePExMSQnZ3tg1F5TmNjI3V1dSxcuBD4ysegra2NuXPnEhMTExT+CgANDQ2UlpYydepUxowZWOgPRixWJ797To9NkRXooaB0VPPH25M88pwIVlzdTOrr65k7dy6xsYOXQLiwWJ1U1BuZnjP0Y/p6faPR6PZa6+joICoqyh3nxcXFDen388RbTZS1jqxw5rC2k6BsZW6ujCsWJnhUAn129mrPJblLlJDJZJw+fZoLL7yQzZs3s23bNj755BN+9atf8dOf/tSr9+CrWPBsztvMBUEQqKqqQi6Xs3jxYsJ9bPTSH77qFmEy9b9YsTudNGmsjEv3zXsSRZHS0lJ0Oh3z588f1s0kWKhtMnH/CxpEWeCFhcnpRn71rQlBtRvgVbcIQUAURYqLi+ns7GTBggXDVpKjIhReCQvQ/ZuOjY0lNjaW7Oxs9y6GTqejtrbWXTaTkJAMZHn1WsNBFIefZRQfM/hie6Cshp67dZ2dnURFRXHjjTdy44034nQ6B93N2717NwBXXHHFOY+tXLkSgC+++GLAc1gsFg4dOsTkyZPPUbUFQeDyyy/n6aef5ujRo1x44YWDvt8QIUKEGA7BlLngGofVaiU/Px+AxYsXe2zcKEkSNc1msnwU57k6QtTX1zNnzhwSExMHPyjI0LVb+ePLJlBmBXooJMgr+N130nrV4492JEni9OnTaDSaIZl7no1KKfdKWIDe2SpZWVlus0+dTkdhYSFAL1PIvnbuH3+jicqOnBHPalEo4+kini/KYVepDYVDw8R0K1csiCF3vPetLntmr3Z0dBAZGck111zDN7/5TZ8JtL6IBfvivBQXurq6aG9vJyIigoULF/YwI5QY6d1MX5VFmCx9L1jau2z85ql6TI4oFLSQnQ5X5MUzd2q8R4tZV0cIm802pI4Qwcjxsg4ef6sD5P4RkPpDkkQWTrLz/asmDPw8P42n12t62S3ixIkTmM1mFixY4FeH34E42+zTZQJVUlaNv8QFSRSH7R4ZFxuFSjW8z7CvGj6XiPD888/T2NjobvMkl8sHrVcsLy8HIDc395zH0tLSiI6Odj+nPyoqKhBFsc9z9Dx3eXl5SFwIESKEG1+WRbhSigOJy9Cxs7OT/Px8EhIS3D4Gnhg3miwO/vBCKxZ5Fk6LljFxnSyfrWLJBZ7FeU6n0705kJeXN2ra2fWkst7I/20VkKsyAjoOSZIYH1PJz28YOO1/tCFJEiUlJbS1tbFgwYKgyTbsafbpMoXUarVUVVVx8uTJXl5rUVFR/O31Jmq6Jvp9nDJ5OKI8k7JWKNsOYfYaHv6+eljiU39xniiKbN68mc7OTpxOJwqFAplM5pOyYF/Egn1x3okLLvOcyMhIkpOTvW5pN1x81YrSbD5XkSqvNfDQKzokWbdRoZMoypuh/H07vFPHmEQHF86K5tKFSYQNwQylZ0eIBQsW+P2z8gUHTrTyzIdmBHlgRRFJdLJ6PnzzirEBHUe/eJG5IIoiNpuN+fPne13fNVL0NIFKTIMPyvzzusNtQxkZGcnzj9zs9eu6JqHf//73lJSUsHfv3mEFnR0dHQBuM86ziY2NdT/Hm3P0fF6IECFC+BK5XI7NFhh/qp7IZDJsNhuHDh0iOzubCRMm9MowEwRhyPfnRq2Zh16zIaiyAJCrkmmxJvPmIXh1TwcJSj0Lp8i5YlHikNLxbTYbhYWFHneECAZOVXXxxIcRKFSBzaqVRCcXpFdz+8bzS1gQRZGTJ09iMBiYP39+0G4y9jSFzM3NxWw2u7NXKyoq+KwkDaNyQaCHicPSys+uifQ6q8UlSP7973/ngw8+4PPPP/f5Os0XsWBfBN1q0lNF21UnVFVVxQUXXIBerz/HYEcQRr5Fna8yF8zW3uLCF8f0vLjNjNDf7rxcRWMHvLEHXt/VRGKUlQVTI1izLJnYqHPH1LMjxKRJk4LGKXi4LJqZgNMJnx/roFYjIMr8n70giXauvySMKxYPse1eAFIXJC9eVCbA3LlzR434ZLH5L01RGoa4EBkZyUt/+xYpSd67/UqSxB//+EfeeOMNdu/ezeTJk70+Z4gQIUKMJoKhLEKSJFpaWrDZbMyePZvU1FSP/RUKSjt49tMIFKq+F68KZRxdxLGzFLYXWYgQWrggy8napQkkxp27i2kwGCgsLCQuLo5p06b5zIHf30zJiubbl3byeYGWutboPjsUjDSi08ZFkxq55rLzS1hwOp0cP37cvYE0msSniIgId5eFh15qxKj0f8bC2TgsrfzyGpHx6d5nB0mSxJNPPslf/vIXtm/fTl5eng9G6B9Gx2phEBwOB0VFRXR2drJo0SJiYmJob28/J11OJoBzpMUFH2UuWHqURbzyUQOfHZchyIf2oxfk4bRZwtlRANuP6YgMMzMzW8H6C9VkpESOmo4QQ0EQBJbNSWTZnO76wfJaAx/v11Na48QiRo74BCQ5bdy5KYq86Qkj+jpe40XmQlhY2KgRFgAsdv+JC6I4tMA2IiKCFx/9Fqlq3wgLDz30EC+88AK7du3ySFhwqdT9KdKdnZ0kJAx8TQ/lHD2fFyJEiBBw/nSLcO346nQ6FAqFV8LCB3u0bC9KRaEc2q6xPEyFjfEcrYfDrzmQ25uZmGZlzeJYsjOj3B0hXG3zgskDargIgsD86XHMn949l9Q06dl2oJPTjeHY5anIhhgbe4rTbmbTAh0r8oa4gTSCuMoffYHD4aCwsBBJkpg3b17QZqYOhCRJPPRyM82WIBAWrG384irRJz4pkiTx3HPP8cc//pGPP/54xIQFX8SCfTF6Vgz9YDKZyM/PJzw8vNu48b+qm0KhwGrtbYook4HT8zXWkBAEGYIg88pAD8BsdXT/aF6spqw5EkHm2c1EkMkxO6M5XA6HyrqQS00kRbSxdmnOqBcW+iJ3XDQ/HtdtpNLaYeOjvVryyyy0m1UIPsoqceM08+sb4pkyYXiLp9HmuSDz8NoLFFbvPW6GjCQO/mIRqghefPRm0lN8Iyz83//9H08++SSfffYZ06dP9+g8Pf0Q5s2b1+ux5uZmDAbDoJNZdnY2Mpms33q8gWr5QoQIEcJbAiku2Gw28vPzkSSJOXPmcOTIEY+FhX9taaJUm4U8zLPMAplMgaTMpLwNHvtIwmnREE0zl84dT05OcJlL+4Lx6VHc8Y3uneEuo5ltBxrIPyPQ6VCjCPetqbfD2sktl3SSNyPJp+cdLpIk8fsnjrD3wFFyciZyUV4OGy4ZS1y0Z8KK3W4nPz+fsLAwZs2aNSqzWiRJ4k8vNqO15wR6KDis7fz8SgcTMnyTsfDSSy/x29/+lvfff5+lS5f6YIR944tYsC+CTlwYzk1Qr9dTWFhIeno6U6ZM6ZXa39ekI5eBP9YdgjwMyTG81nRnYzRa+fljlbRbY3zmeCoIAqIQg9Yaw4ufw4s7axib5GT5nFiWz0vss23iaCYxLpyb12Zw81qw253sPKJn33EDja0K8NKjQXAa2DCngcaqCqydSW5DmWBNKfOqW8QoExcsNv/JN4NlLqhUKl549GbGpHq/ey9JEv/4xz/429/+xo4dO5g1a5bH51q+fDl//vOf2bFjB9ddd12vx7Zv3+5+zkBERESQl5fHwYMHqampOacV5aeffkpUVBTz58/3eJwhQoQ4PxEEwSvRGwInLnR1dZGfn09cXBwzZszAbre7sxhcscBQsv3sDpE/vqihQ8zBV0mWgiCgiEjFQiofn4L3C9tRR+hZNC2MyxYkEh52fsV5MVFhXLMilWtWgNMpsaegjr1FNlq64pGrvBME7GY9l07Ip6vFQoE9keTkZJKTk31ipDccJEniZw9/ydEjhwAoLTlOaclx/v2SnPQxWcyfncOmS7PJHT+0DQxXR5PIyEhmzpw5KsuiJUnijy80o3cEh7Dwk402sjO9F7YkSeK1117jl7/8Je+99x4XX3yx9wMcAF/Egn0hSN7e3UeAszMOzkaSJGpraykrK2PKlCmMHXuuiV5dXR0tLS29AttfvxCO0TLyC6UTux7BYTN6dY549QSSJ1zkoxENjuS0oY6xsnBaJKuXJhMVEXS6k8+QJIlDRVre29WAxhCDKIsZlqilFAz8+QeZxEWH0dXVhVarRavVYjAY3M61ycnJ/Toy//blCLrM/l2wH//sIZweCl7JSdFsfeZOH49o5LBYRXYc7iL/jITeFIssbOTak5o6myg98Eyfj6lUKp5/5GbGpsd7/TqSJPH0009z//33s23bNhYtWuTV+RwOB5MnT6ahoYGDBw8ye/ZsoDs1Li8vj+rqak6fPk1WVhYATU1NdHR0kJ6e3qvM4YUXXuC2227j+uuv5z//+Y/7d/TUU09x55138r3vfY+nn37aq7GGCBHi/MNms3ktLmg0GsrLy0d0Z6+v1zxx4gRZWVlkZ2e7+9N3dna6YwGz2Uxi4sCL0bZOG/dvNiAqM/02dqfdRJRMw6xsibVLEzze9R4tnChrY8tnTegsqcgjxiDIhr47L1pauOeGMNKSlBiNRvd329nZSUxMjPu7jY6OHtHMELtD5If37+RU8fFBnxsbn8qMaRNZeWE2y+el9mkoaDab3cLYtGnTRqWwAN1C0vaDeg6XOtAa41GoAtNa1WFt5ycbbENuPTkYb7/9Nj/4wQ946623WL16tU/OORDDjQWHSlCKCwNNOqIoUlJSgkajYc6cOf3WgjQ2NlJXV8fChQvdf/vN5nA6TCO/qDv5xWPYLN45pMckZZOWHZj2bZLoIDrcws+uT/VJik+wYTQayc/PJzExkalTp9Kks/DhXj1FlXaMtogBJ6DY8C4e+uF4VMpzxReLxeKegNra2lCpVO4JKC4uzn0T/81LERj8IHL1pHDnnxGdnrlqpybH8vZTd/h4RP5BkiQKy0zsLrRRo1MhKhJ86sNhaKuj7PDz5/xdqVTx/CM3MW6M914ckiTxwgsv8Jvf/IaPPvqIZcuWeX1OgF27drFy5UpUKhXXXXcdMTExbNmyhZqaGh555BF+/vOfu5976623snnzZl544QVuvfVW999FUWTNmjVs376dRYsWsXz5cs6cOcPWrVvJysri0KFDJCcn+2S8IUKEOH/whbig1+spLi7mootGfiNGkiSqq6s5c+YMM2bMIC0tzV0GIQhCr0WaazGq0Wjo7Ow8Z9OhvMbA4+/JkKvUIz7u/hCddhSOFm5dqWDWpMB2YRgJLBZLr915fYeDT/a3UVQjxyKkIlf0n70qWOv5w7ej+xRfbDabO87T6/WEh4e7v9uEhASfLtZNFgd3/O4TqitLh31suDKanIk5XJSXw/qLu8snXLGvWq1mypQp51W5TNGZTj47aqRKG4EYloJMNvIbpA5rBz9ab2FylvclrwDvvfcet99+O6+99hobNmzwyTmHwnBiwaEyqranrVYrhYWFOJ1OFi9ePGAf1r7S5RQKCRj5H5NM7n1tvzREo7gRQZAzaaz8vBQW2tvbKSwsJDMz021ylJESyR3f6DZgMZodfLJPy6ESE7ouZS8TzbRYA3+8Y0K/5SMqlcrtXOtwOGhtbUWr1XL8eLfirFar/7vQGo8/rsOeeFMWIR9lZRE9EQSBOZOjmDO5+1rWtHay/bCR4lo5RkcCMoV36Y1iH54LSqWS5/7iO2HhlVde4e677+aDDz7wmbAAcMkll7B3715+//vf88Ybb2C325k5cyYPP/ww11577ZDOIZPJeO+993jooYd4+eWX+dvf/kZiYiLf+c53eOCBB0LCQogQIfpkNJVFuDa1tFoteXl5xMbGDuivEBUVRVRUFFlZWVitVvdi9MyZM1TrYyjQLkChGrmMuqEgyBSkxVu5IDfIzag9wGAw9FpEy2QyUhLl3LIuDQCL1c6nh1s4XOqk1ZKEQvlVNp7SUc0f70jqt81neHg4GRkZZGRk4HQ63XFecXExDofDHeep1WqvDBI7DDZuv+cDmhsqPTreZjVwqvg4p4qP88xmOWnp48nKjGXl4jHnnbAAMHNiLDMndotkrR1dbDvYzokqgS5HMopw369lHNYO7lpv9Zmw8NFHH3H77bfz0ksv+VVYAN/EgmczajIXOjs7yc/PJz4+npkzZw5qPqLT6SgpKemlaD/wehjNbSOfAnRq/9OYu5q9OkdkXAYZk1b4aERDRxIdrFsocNV51m4HQKvVUlRUNOQuGU6nyN7jbew+1klMhMBPbxzv0Q1ZkiQ6OjrcAcY7JRdiE/1bs1ew4wEkybMgLDM9ntee+K6PRxR47HaR3QUGDpU6aemKRhY2fF+EDm0ZFfmvuf8dFhbGD6+fzrRJmajVahITEz02SpIkiTfffJO77rqLrVu3csUVV3h0nhAhQoQINlw+Bd7Q1dXFoUOHWLFi5GIlm81GQUEBTqeTuXPnolQqPTZufOmjJo7UjvPJBpQ3iE4H88bWcut/F9vnE+3t7RQUFDBu3Diys7MH/X4kSeJwcQe7C8yIEvzqxrQ+ywkGQ5Ikj8pk+6JFb+GO37yDXls/7HEMhdiEVGZOm8jKC3O4aG6KR+93tOB0SnxZ2Ma+IitNnbHIlGqvhRW7pYNlmYeYNTkBtVpNUlKSVx3VduzYwU033cSzzz57ju/BaCUoMxfOVrSbmpo4efIk2dnZQ7pZQN+Kdpif3q1PMhc8XAh69ZpOG99dF8mSWYGpXRpJGhoaKC0tZcaMGaSmpg7pGLlcxvK5SSyf650pkCAIxMfHEx8fT25uLh+Uh2Hzzu9z2Eh4HsQZzU7MFgcRqqC8XXhMWJiMy/Niufy/Rril1To+OdhFZYsSlKnIhlCfKTq/ancbHq7k6T9fT3y0gE6n4/Tp01itVhITE1Gr1ajV6gGzrc7mnXfe4a677uLNN98MCQshQoQIcRauOM+X7fl6YjAYOHbsGLGxscyYMQO5XO5ucT4cYUGSJP7yShMNphxkAV7IOe1m1s3RsmrJ+ScsaDQaTp48SW5ubp9ebH0hCAILZ8SzcEa8V68tCAKxsbHExsaSk5PTq0z2zJkzRERE9FkmezbVjQZ++LstdLZrvBrPQHS2tbBvXwv79u0jXBnNxInd3SfWXZx53vlwyOUCF89L5OL/NkKorNfx4T49pxvCEFRjkSuG934d1k7uXG0iI2kaOp2OiooKioqKSEhIcGetREYOvRXlrl27uOmmm/jXv/7lcZZAMBLUqwVJkigvL6e2tpZZs2aRkjL0HrN9iQvh/hIXfFDrI3mp6A8XQTTxm2+pyRkb2FQ9XyNJElVVVdTU1DBnzhwSEwMvnAh+LokAwIsEpY5OC1ff9R4pKUnMn5nOLRtyiI4M6luHR6TEWpiVUsy1F00hKsbAjiNGjlcKdFjjkIX1PVm4xIXw8HCeeegGcsZ319Cq1WokScJoNKLT6WhpaeH06dNERUW5J6C4uLh+g9MPPviAO+64g1dffZU1a9aMzBsOESJEiADhCzFALpcjSdKIiAuuksbx48eTk5ODJEnumFIQhCG/nsni4L4XWrHKJ/qs85enOKztfPcKC7MnB87rYaSor6+nrKyMGTNmDGutMFKcXSar1+v7LJPtuet9qrKTn/zhLUyGVr+N02Y1UFJcSElxIU9vVpCekUXe7Bxu3TSZpHj/Ztj6A3Wsk5kpFWxYOIHkVAs7DjVxrEykzZrYqzymLxy2Lr6/2sTMid3PS0xMZNKkSZhMJnQ6HTqdjvLyciIiItzfb3x8fL9C0pdffsl1113H448/zs0333xelaoE7QrB4XBw/PhxjEYjixYtIjp6eIvevsQFpcI/FSCjLXNBKRj40w8zSYw7vxRLSZI4ffq0u2tITIxvaqNGG15XPgnd12NLi4bK+EiiIkZfP+TBaG1tpbCwkClTpjBmzBgArrk0nmsu7U6rO1jcwr6TDhraIpEU8e5JQBLthIWH89Sfb3QLCy4EQSA6Opro6GiysrKw2+3o9Xp0Oh2FhYUAJCUlubMaXPWZ27Zt4zvf+Q4vvvgiGzdu9N+HECJEiBCjCFfJmcPh8Fkb6J7dyKZPn056ero7OwIYlmFfo9bMQ6/ZEFRZPhmbN4iWZu6+NozM1PPLvFGSJCorK6mtrR3Q5D2QKBQKUlNTSU1N7VUm69r1TkxMpKUrikef2YXV0hWwcUqig8a6MxRHqoiJmhGwcYwUnZ2dHDt2jAkTJri7H1x5cTJXXtx9HR0paeSLAjN1rVEQnoLQ47fusHVxx0qj29ehJ5GRkYwbN45x48a5/dZ0Oh1FRUU4nU6Sks5tV3/w4EG++c1v8vDDD3PbbbedV8ICBKm4YDKZOHLkCCqVisWLF3tkiuJStF11cQDhfipzE0ZR5kJSZBcPfD+rX/Oa0YrT6eTkyZMYDAby8vKGlY4+0vjd5MQLM8eezJ45kT/9aM55dxPsS1joiVwusPSCGJZe0P3v2pY2Pj1sorQhjIhwkacevIHcrMF3gsLCwkhLSyMtLc0dYOh0Oqqrq3nsscf44osvyM3N5ZNPPuHf//43V199ta/faogQIUKcN7jEBV+ZOoqiyKlTp2hpaWHBggXExcV57K8A8N6edpwkBDzQVthr+cPtcURHBtbrwddIksSpU6fQ6XQsWLBg2JuQgeDsMlmTycQne6p44sVPcdjNgR4e02fM5p/3rjjvfBj6EhZ6IggCedPjyZseD0CTrp1tB9oprpVjdkbz3ZV2LsgdXJhTKBSkpKSQkpLSy4ejrq6OF198kbfffpuZM2fyySef8MADD3DnnXeedzE1BKm4UFFRQXJyMpMmTfK4rYsrzcjpdLrPoQrzV+aCD8SFEc5ckCSJyWNM/PpbQ/OwGE3Y7XaOHz+OKIosWLDAZzsaoxXvPVsFFs2fzL3fn+WT8QQTgwkLfTEuVcV31rvaWE336HV7BhgTJ04kPT0dg8HAyy+/jFwu5ze/+Q0HDhxg3bp1rFq1yqPXCBEiRIhgxRdxh6sFpC/EBZvNRmFhIXa7ncWLF6NSqbwSFgDuvKrbGLugtImdR03UtkYjKFP8GnMlyCv43Xc8MykMZpxOJ0VFRZhMJvLy8lCp+m8tGcx8fqSVvz+/0+NW4b5k7rwFPHb38vNuTTCYsNAX6WoV317f05dk+BuUZ/twjBs3js7OTp588knkcjl/+ctfKC4uZu3ataxfv95j8+9gZORbJ3jAzJkz3e1jPKUvRVvlpzWmTOaLsoiRy1yQRCcXz7Dzv7dMCPhNpKLOwOb3Kmnr9I3DocVi4ejRo8jlcubNm/e1FxbA+2spLjYyJCyMMA0NDWzZsoUnn3yStrY2nnzySSRJ4sknnwzouEKECBEimPFFO0qDwcDBgwdRKBTk5eV51RGiL+ZMieOXN6Xzjx/F8JO1OnITKsDagDiCLcclUSQ3oYL7vpMecGGhWW/m2S2nadFbfHI+u91Ofn4+NpuNBQsWjFph4dWPK/nLE28GhbCwZMnSkLAwwuj1el599VXuu+8+Ojo6eOWVV4iJieGxxx7zar0bjARl5oJMJvO6RVFfira/xAXBB5kLsZGQl2ulqNKOyR6BMATn+qEgOm0sn6zh8nlp2Gy2gC6+jxa38scnvsRut/LGh8dQJyUxb8YYNl6SSVbG8NPbjEYj+fn5JCYmMnXq1KD9sfq/+at3LzguPfhTDYeLXq/n+PHjQSEsHD58mKuvvpoHH3yQ22+/HUEQWL16NatXrw7ouEKECBEi2PFWXHB54IwdO5bc3Nxexo2+EBbOJjsziv+5prstobatk4/2tXGyRoFFSEWu8I2BntNhZUrcMTYtVmO1WlEqA2fMV1rdyU//sAVDp46XXpORnDaOvNm5bFyRzZSs4fs/WCwW8vPziYyMHFJb+mDlqTdP8Z83PwpEQHgOl116Mff9cEGgh+FzgklYOHXqFOvWreMHP/gB99xzD4IgcOmll3LppZcGdFwjRVCKC77i7EknItxPZRE+yFxAkvj+Vd2tdNq7bHz0pZajpy20m1UInp7faeHO9UpSYhKoq6ujpKSE+Ph4kpOTSUlJ8asvwSd7G/nnSwcRxf+28pMkdDod23fr2L77BNExscyYnM6aC8cyb1rCoBN8e3s7hYWFZGZmkpOTc96pr97gbeaCXB6cIo2nBJOwkJ+fz5VXXsl9993HD3/4w9B1GyJEiK8FvrrXKRQKj8WF2tpaTp8+zbRp0xgzZozHxo2ekpyg5NZ13anXRrOVTw40cawMOh3JKMKjPDqnw9bF1XlaJqTE09TURGlpKbGxse44LyrKs/N6wr5CDff+dQs2iwHojkU0TdV82FTNh59AbEIqF0zPZc3yHJbNSR70mjAYDOTn56NWq73Obg4knx5o4rW3tgWFsLB29Qr+9/Y5gR6GzwkmYaGsrIx169Zx2223cd99930t4ryvlbgQ6Sfx1heeCz3HHR8Tzo1rMrj2CgfHjh3nSJmT2vZEtJ1KBPnQ3pQCI/d9L40xyd0CwoQJE3r14S0vLycqKoqUlBSSk5OJiYkZsR/Ai+9V8uaHxwa8sRq6Ojl4tJODR08Trowgd0Ialy7KYMXiNMLOWuxqtVqKioqYOHEi48aNG5Exj2q8nMAU55G4EEzCwokTJ9iwYQP/+7//y09+8pOvxYQTIkSIEL7Ek8wFURQpLS2lubmZ+fPnEx8f79MyCE+IilBw9aUpXLm820tg/0kTTaaxtFqTUSjjh3QOp0XHTzaJ5I7rFiyysrKw2WxotVo0Gg2VlZWoVCp3nDdQO2RveefzWh5/+h2cjv5T/jvbWti7t4W9e/eiioxj8qSJXLZ0ImuWZZxjMt7e3k5BQQHjxo0jO3t0e4VdvjidvBd+yPu76thz6AwVFWew20x+H8c1V67mRzedf10hOjo6yM/PJzs7m/Hjxwd0LJWVlaxbt47rrruOBx98cNQKYsMlKMUFX9005HI5DofD/W+/iQs+yFxwOHsvCC0WCwUFBSiVSu64bg5hYWFIksSeglZ2He2gTidHkvWdeRAT1sWDPxhPVETvr7tnH1673Y5Op0Or1VJTU0NYWJhb6R6oT+twefi5k3xxoGRYx9isZopLqygureJfL4cxNjOFpfMy2LA8g852DaWlpcyYMYPU1FSfjPF8Y7RmLrR32VCGyYhQ+eY2FUzCQklJCevXr+enP/0pv/rVr/weKBmNRiorKxk3bhxxcQP3dg4RIkSIYGW44oLdbqewsBCr1cqiRYuIiIgIuLDgwmazcfz4cSRJ4jvXzEGpVCJJEoeLG9mVb6a+PRa5Krnvg60N3H9LJIlxkb3+HB4eTkZGBhkZGTgcDvR6PVqtloKCAmQymTvOS0xM9Fmc99Sbp3j1zY+HFXtYTB0cLzzG8cJjPP60kqwJE7lw4UQ2XTIep62DkydPkpuby9ixY30yxkATFx3OzetzuHl9DnbH5ew63Mz2vZUUnyrH2Kkb2RcXBG6+dh3fu2bKyL7OEDCY7EgSxET5ppNJMAkLNTU1rF27lo0bN/Loo4/6XVgIZJwXlOKCrzgnc0Hln/aOvvBc6Ok50dnZSUFBAcnJyb1SwQRBYPncJJbPTQLgeFkH2w+2Ud4g4SASQRAYm2Dg3tsnDLpADAsLIz09nfT0dERRpLW1FY1GQ1FREZIkoVarSUlJISkpyaMaN6dT5Nd/O0pJafWwj+19HjvVNQ1U1zTw6jsy4uJimDcznSkzRk/vZn8nwnnbLSIQmQsNGhP3PqtBJJzocAszs8NYuyyJjJTIwQ/uA5ewMHXqVNLT03082uFx+vRp1q1bxx133MFvf/vbgASzv/rVr3jvvffcZUTXXnstGzZs8Ps4QoQIEcIbhiMuuHyZIiMjWbRokduXKxiEBaPRSEFBAbGxsUyfPt0dZwmCwMIZ8SycEQ/A6eoWth0yUKmJRApLQZDJiRSruO8O9aAtxRUKBampqaSmpiKKIu3t7Wg0Gk6dOoXdbketVpOcnIxarfaoBbwkSdz3r6N8/vnuYR/bE6fDSkV5MRXlxWz+j4yk5AzmzcpmfG6CV+cNVsIUMq5YMoYrlowBlnG8rI0PdlWRf7wcbUsdvowaBUHOzdeu5ParJ/vsnJ7S1mnj9y+akcLUKBwtTBpjZdWiOCZkeBbnBZOw0NDQwNq1a1m5ciX/+Mc/ApKxEMg4T5C871Pnc0RRxG63e32eQ4cOkZmZSUZGBgCNenjwzZFPX9DV51Nb/IFX51CGK9j52k/RaDScPHnS/WMZ6uRX3WikpNLImmUpXo1DkiQ6OjrcaXUWi4XExER3Wt1QDCHNFgd3PbifxsZmr8YyGLFx8VwwJZ21y8cya1L8iL6WN/z6hQgsdv8FMTZzByf3PObx8RcvnsQff7HRdwMahNomE394QXtOJo4kSSgwkZ0Oly2IZ8G0+CH9HoJJWDhz5gyrV6/mhhtu4OGHHw7IhON0Onn88cf58ssvOXjwIC0tLQA88sgj3HXXXR4FlSFChAgxHCRJwmbz3iW/sLCQuLg4JkyYMODz9Ho9hYWFZGRkMGnSJCRJcm/iCIIQUGGhra2N48ePk5GRwcSJE4c8liadhSMlXay/UO3V+CVJoquryx3nGY1GEhMTSU5OJjk5eUjdGOwOkZ88uIsTx/M9HsdQiE9MZ/bMXNZdkkPejKRRXR4xFJq0Zt7dVc3+oxXUVld41VlCkCm4duMSpmeaAdxiUlJSEgqFf/eaWzus/H6zFZkqrdffJUlCtGrJiO/iwplKls4e3HMNgktYaG5uZtWqVSxZsoTnnnsuIKajgY7zglJc8NWkc+zYMZKTk911+J0muGfzyIsLrY0nqC56x6tzKBQyXvzL1VRUVDB9+vSgSfk3Go1oNBq0Wi2dnZ3ExcW5hYbIyHPVRm2rhR89+CUd7W1+HacqIpJJ2WmsWDKWS+YnB5Upob/FBaupjeIv/+7x8fNmpPLL712GWq0ecdfp6kYj97+og35KfHrhtJAaZ2fRjChWLlajUp47OQaTsFBdXc2qVau48sor+dvf/hbQ2jtJkhAEgbKyMm666SY0Gg3PPPMMV1xxRcDGFCJEiK8PvorzioqKUKlU5Obm9vucuro6SktLmTp1KhkZGX43bhyIxsZGTp06xeTJk8nMzAzoWFyYTCa30NDR0UFMTIw7zouKijpnsddlsvP9331MbXWZX8cZEZXA1Cm5XL4shysWjyE8LHjivJGgvdPEC2/nU1TeQW1dPVZz55CPlcnD+eX/XMW6izKRJIn29na0Wi06nQ6TyTRsMckbtG1W7n/Zhkw1+LrGYesiLkzHnIkCqxcnEB157qI4mIQFjUbD6tWrmTNnDi+99JLfRZueBDLO+1qVRUT5qRWuTO69IiSKEtXV1cybNy+oaqKjoqKYMGFCv4aQrvq9mJgYztQa+PUje7CYjX4fp8Vs4kRxJSeKK3n8hXDmzMzi/h/O9vs4+sLvZRFevmKESkVDQwOnTp1yu073F2R4Q0W9gT9tbgX5ELuWyFW0GFS8dxDe3a8hRmlmZnY4a5epGZMcEVTCQl1dHWvWrGHt2rUBFxbgK1+bkpISysrKWLNmDbNnzwa+mpBc/99oNBIdff61Iw0RIsToZ6CyCEmSKC0tpbGxkXnz5pGQkIAoikFRBiFJEpWVldTW1jJ79mySkpICNpaziYyMZPz48YwfP95tCKnVavs0hGzWWfj+796lVVvv93GajW3kHztM/rHDPPpkBBfMnMn//foi5PLzL5vBarVScrKQS+fF8ONblyAIAvsKtXzyRSXHi8/Q0drU77HyMBW//cnVrFjUHQcJgkBCQgIJCQlMmjQJo9GIVqulpaWF06dPEx0d7Y7zfG3u3qK38Mf/OJAPQVgAUITHYCSGvRWwp8yGwtnCpDE2Vi+OIys9MqiEBb1ez4YNG5g+fTqbN28OqLAAgY3zvlbiQvfmtQSM7I1HkHn/sUqSRF5enl/bQw6Xsw0h9Xo9Go2Go0ePUqMN451dehwDOAX7C4VCwY1rsgM9jMDhpaFjfFwseXl5WK1Wt+lnZWUl4eHh7gkoISHBqwVzea2BP7/cCnLPFEBBpsBgj+HAadhf2olCaiJe2cblC7NIS0sb/AQjSFNTE2vXrmXFihU88cQTARcWXJNKe3s7n3zyCWazmXXr1pGS0l1C1TOQOHLkCK+++ioOh4MpU6awatUqJk6cGKihhwgR4jxhpIy7XTgcDgoLCzGbzSxevDiojBtFUaS4uJj29nYWLFgQ1OJtT0NIp9PpjvMKCwtpbBXY/F45JoN/M1P7Qi5TcNOGGeelsGA2mzl27BgJCQlMnTrVHUMsm5PCsjkpwCLO1Bl477NKDhecoamxGknsXvuEhUfyh19ew4Vz+y+RjoqKIioqyt1dxGX6WVNTg0KhcJdPJCYmepXi36Sz8KdXnchVnpVry+ThiPKxlOrg1PsSokVLJA0smZ4Z8E5xbW1tbNy4kQkTJvDqq68GvLw00HHe10pc8Be+yFyQJIJaWDibsLAw0tLSSEtL4/3d9bz92SH3zS2QRMfE8tg9y90tOL+OeG3oqOieTJRKZa8go7W1Fa1Wy8mTJxFFkaSkJI/MoE7XdPHwK20eCwtnIwgCTiEavT2a1/fC61/UkRrvYPGMKK5YlNRn+cRI0dLSwtq1a1myZAlPP/10QGrv+qOoqIidO3cyf/58FixY0OdzNBoNO3bsoLS01P23NWvW8PTTT7u9bEKECBHCEwRB8MH8pMBqtfb6m8lkIj8/H5VKxaJFi9yxYDAIC66OEKIokpeXN+Klhr5ELpeTkpJCSkoKu4808+wzW7Fb/Z+ZejZRMUn8/Q/XMGl8TKCH4nOMRiPHjh0jJSWFyZMn93vtThwbzc9vvQBuvYC2Thvv765l39FKvnvtPBZMH3pWTHh4eC9z97a2NrRaLaWlpdhstl5x3nCu3XqNmYdel/rvdjJMBEFAHpGClRR2VcKnpd3lE3NzBVYt6rt8YqTo6Ohg06ZNpKWl8eabbw7Ji85fBCrOC0pxwZeKdk9xQaPRIJCBNMKZCzIfZC6MVp57p4ItH+Xj/+T/c0lKSuIfv7mI+NggM6jze12Ed5kLCsW5O+1yudydtSBJEp2dnW6lu7i4mPj4ePfjfXlxuCiu7OSR1zoQfCQs9IlcRUsXvHsA3tn33/KJnHDWLlWPqOik1WpZv349s2fP5vnnnw8aYUEQBBwOB3v27KGqqorvfe97/ar+K1as4ODBg+h0Op555hn++te/Ul1dTVRUlJ9HHSJEiBDncnac19raSkFBAWPGjGHSpEndYvN/Hw+0sODqCBETE8OMGTOCZk4YLm/tqOaJZ99FdHpvvO4tCeoMnn7gStLPww2krq4ujh075nb7H+q1mxAbzi0bJnLLBu92n2UyGUlJSSQlJTF58mQMBgNarXbYZbJ1zSYeflNArlJ7NZ6BcJVPfHkGvjhtI+y/5ROr/ls+MVJ0dXVx1VVXER8fz5YtW4JGLAx0nBe0q2BfKNpyuRyr1YokdfsXnDlzBpksE+cId6T0ReYC9K6JCXYkSeLPz55k76FTgR4KAJmZ6Tx+9xIilME3eZ9vrSgFQSAuLo64uDgmTpyI2Wx2l0+Ul5cTGRnpnoDi4uLc13RReQf/92Yngtx/N2N3+UQp7D/VSZjQTE46rFmSyMxc33mbtLa2sn79eiZPnszLL78c8No7F657ypkzZ9i2bRvjxo1j+fLl/U6IKpWK8PBwYmNjCQsLQ5Ikbr75ZuLj4927gCFChAgRKHqKC/X19W5zxLFjx7qzFWB4HSHsDpFHX20hSiWxdkkc2Znei6medoQINp54rZg3tnzSnV4bYMZk5vDMn9YRFx08O8W+or29nYKCArKysgbthOIPBEEgJiaGmJgYsrOzsVqtbkPIyspKlEqlO86Lj493xwbVTSb++pYMhSrRb2OVycNxysdySgcl73/VfWLFvAgWTI/32esYjUauueYawsPDeffdd4Mm2zwY4rzgiHhHCFct3smTJ9HpdOTl5fFxNSMuLvjCcwHAZnOgVAbZrnsf2J0iv3r0CKfLagI9FACmTs7iLz+bH1QdIgKKl5kLYYrhCTQRERFuLw6Hw+Gu3yssLAS62x/pjNFs3in3q7BwNoIg4CCK0gY7y82+K+Fpb29n48aNjB8/ntdeey3gtXcueoqVhw4d4ujRo9xyyy1Mnjxwv2uZTEZrayvPPPMMGRkZbNzov7akIUKECDEQrjivtLSUhoYG5s6dS2JiosfGjW2dNu5/yYAYngMWeOwjCcmqYXxSF1fkRXNBbuywx9jU1ERJSUlQdYQYLpIk8bt/HOaLL/YEeigA5E6ewZP3XYEyPPg2kLyltbWVwsJCcnNzGTt2bKCH0ydKpZLMzEwyMzN7lckWFRW5y2QtYhyb96T6VVg4G0EQkKtSaDDE0drZ4rPzms1mrr32WkRR5KOPPgqabM5gifPOa3FBkiRaW1uJjIxk8eLFKJVK5AKMdCKXIsw3KqrBZB0V4sL7n9dTWe27H603LFkwhd98b+ao3RUYCbztFqEYprjQ+1gFqamppKamutsffZnfyNaDcmQBFBZcSKKd762LYNEFvpn8Ojs7ufLKK0lOTuatt94Kqto712+iqamJ7du3I5fLWb16NQkJCf0e45qo3nvvPbRaLbfffjtTpkwBAt/CLUSIEKMbX2SoAhgMBmw2G4sWLSIyMtJjf4XyGgOPvydDrvpKABAEAUGVSp0xled2gfMTHemxHVw6V8WimfEDnj+YO0IMl88ONXM0vzjQwwBg/vyFPPKrC89L80bXAn3KlCmMGTMm0MMZEn2VyeYXN/HW0VTCAigsuBCdNtbNbmHlYt+UZVgsFm644QZMJhPbt28nJiZ4vD6CJc4LWnHB20mnq6uLqqoqBEEgLy8PmUyG0+lELpfAPsLdIgTfCAJGs42k/q+HoOGqy8fxjRVjOXBCzydf1nGqvAmT0eD3caxdMYsfXjewOvd1RPI6c8E3i0hBEKhohHcOxiGTB37RLYl2bl8bwWIfCQsGg4Grr76a6Oho3nnnnRHvFT0cTpw4QXJyMunp6VRUVLB7926WLl3KrFmzBjzONVE988wzhIWFcdVVVwH89156/u0YhQgRYvRgNpspLy9HFEUWL17slXHj7mOtvHUgHoVq4M4NcpUajU3N6wfhlS/aUUe0smymgkvnJ/Va7IqiSElJCW1tbUHfEWIorFiUzopFt5F/qpX3Pq+g4EQ5bboGv4/j8hWXcO+d8/3+uv6gubmZ4uJiZsyYQWrq0Fo1BhuCINDcJuPtY9mEqeIDPRxEp401FzSxaolvjCRtNhvf+ta30Ol07Ny5k7g435XTekswxXlBKy54g1ar5fjx4yQlJWEymXoZ+vhonTQggsw3QbfJZB38SUGCIAgsmaVmySw1MIdTFZ28t7uW46ea6Ggf2TZFgiDjpm8s4PrVge1xC90K4JcFrSyeGU9YWN/Xgd8rFX3ULcJbDp5o5ekPzAhBIix8Z3UES2f5RlgwmUxcc801yOVy3nvvvaCpvQPQ6XR897vfRalUsmbNGs6cOUNLSwt/+tOfyMrKAhiwrm7//v0cOnSIFStWcOmllwKEhIUQIUIElLa2NgoKCkhISKCtra2X98JwhYWXP27mcM1YFOHD2xhSKONpF+P58Di8e8RAXJiGvMkCl86P4fSpk6OyI8RgzJ2ayNypicACKhsMbP20kkP55bQ0Vnu9kTEggsB1V63hh9dPG7nXGAZ7C9uYOyWGSJVvllH19fWUlZUxa9Ys1OqRMz4caUoquvjnxyoUysAvukWnnVUzm1i91DfCgt1u59Zbb6Wuro7PPvtswGwAfxNscd55JS5IkkRNTQ3l5eXMmDEDhULBqVOncDqdCIKATCbDR+ukAfGV54LRbPPJeQLB1JxYpubMAGbQ0GLm3V21HDnRiFar9+kEJJMpuHH9ZDZcFPibsdMpcs+/qtAaY3hhWzPxERbmTVax7sJk4mMCt6D2PnPB+x/NvuOtPPuRGcFHZqfeIIkOblulYtkc3wgLZrOZ6667DrvdzrZt24JuhyoyMpIVK1bw2GOPsXfvXgC38GoymYiMjOxzwnGlyj377LMAXHnllYSFhYWMHEOECOETPC1fbGhooKSkhEmTJhEfH8+RI0ew2+1uUWGo55UkiYdfaabRlI3MyxR7RXg0RqLZVQY7i80o7GOYP1nGFLvAeaQt9CI7I5pf/Lf9obbNwjs7q/nyyBlqqysQnb6LX2UyBdd9Yzk3rx8XcKNzSZJ4cHMzGlsOr++3oJI0TB/nYO3SBFISPfuia2pqqKysZM6cOUG1YB0uRWc6eeqTSBTK4fuS+BrRaeeK6Y2sXeYbYcHhcPDd736X8vJydu3aFXQCULDFeYLki4K3EcBut7tdfoeCKwVNq9UyZ84c4uLiMBqNHDp0CJlM5u7N+/Rn6TS3jbzCULDjASTJO5O4P//6SpbleddKJtjoMNh5b1cd+4410tCoQRQdHp9LERbOnddOIy3OiF6vJzIykpSUFJKTk4mNjfXrBGS1OfnVE9V02c6tvZJEJxEKM9OzFKxdlsQTn6ixO/03ti59FeVHX/L4+F/ccTkbr5jt8fFHi9v453smBFlwCAu3rlSyfJ5val+tVis33HADer2eHTt2EB8f75PzjhT/+c9/+Pvf/86RI0eIjIxk+fLl3HTTTWzcuLFXy1DXxNLU1MTEiRMZO3YsO3fuJDMzM+DBXYgQIc4PHA5HrzaSgyFJEuXl5b08DCwWCwcPHkQURZKTk0lNTSUxMXHQwNhkcXDf861YFVlevouBEZ12wpzNTB9nY93SBFKTgqdcbqQwmR28v7uOXQfOUF5eht1m8vhcijAVd96ygsljbOh0OpRKpTvOi48f2PPC1zidEvc930KnlH3OY6LoRGZvJifVwuqFMeSOH3yTweXJUVdX5163jFbKaw089n4EivDA+w+ITjsrpjWwcXmKT87ndDq58847OXr0KLt27SI9Pd0n5x0pgiHOC9rMheG8KZvNRmFhIXa7nUWLFqFSqXA6nYSHh3PhhRfS3t6ORqOhqKgIiykaiB+xcbuQKcJx2s1encNkGb2ZC/0RFx3Gt9Zn86312bS2d/LS1uOU1oo0trTjsA+9DESpiuShn1/E5AndCqmrK4FGoyE/P99tMJOSkkJCQsKI7rR2Gu387z/rsIh931QFmRyLGM2xSjhaYSAmMcmvE6K3mQvh/ZR3DJV50+K5wynx2dEOqloEnEQEZHEqiQ6+dXm4z4QFm83GLbfcQktLCzt37gx6YQHgxhtv5MYbb+TEiRP89a9/5fXXX0epVLJ+/Xqg+z0BbiPKV199FbPZzLp169wu5yFhIUSIEP7G4XBw4sQJDAYDixYtIioqyl0TvGzZMjo6OtBoNJw6dQqHw4FarSYlJQW1Wn1Oem+9xszDr9uRqbJGfNwyeRhO+VhONMPxt5wI9hZy08ysXRLHhIzIwU8wComMUHDd6glct3oCXcalvLzlGMfLxio9uQAAcwhJREFUjVTV1GM2Dr1MVqmK4c93X8OCGd1ztqsrgUaj4fjx4wDuOC8xMXFEy/WsNie/e1aPVXGusAAgk8lBmUFFOzyxHZwWLWPiOlk+W8WSC84VQVxCWVNTE/Pnzw+6jMfhkjsumu9e3snOoxpq9VEQnoIQgAxH0Wnnsqm+ExZEUeTHP/4xBw8eHBXCAgRHnBe0mQtDVbQNBgP5+fnExMQwc+ZMZDJZvy2IJEnib+8oqNGNfI5a0e7HsFs7PD5eLpPx2B+uZfa00dm2aDDa29spLCx093wG+DJfy7a9dZSeacZiNvZ7bHRMLI/ds5wxyX3XtYuiSFtbG1qtFo1Gg9PpRK1Wk5ycjFqtRqHwnaama7Nyz9ONOBh6G5rohHEIgv9uuh26M1Qc+4/Hx9/7k7VcfqHv6hyrGox8vE9PcbUDsyPCZx4lAyGJDm5eEc6leb5JZbPb7XznO9+hrKyMzz//POhS5IaKyxDtggsuwOl0snPnTl566SVWr17NhRdeyNq1a6mvr2f79u0sXLgQu90eNK01Q4QIMbpxOp04HINnL5rNZvLz8wkLC2P27NkoFIoB47zOzk40Gg0ajQaLxdJLaDhxxsjzOyNRKONH8J0NjiRJYG3idzdHkJxwftZNuOJztVrNlClTEASBQyf1fPj5GQpPltPR2tzvsVExSfz9D9cwaXzfmzau7lMajQatVovVanXHecnJyT6dp4xmB797rgNnuGdtIR3WDhKUehZOlXPFwkTCw2ScOnUKvV7PvHnzeu0mny/Ua8xsO9DBqToFVlkqcsXIX+Oi08ElU+r5xiW+ExZ+/vOfs2PHDnbt2uX2LhhtBCLOG9Xigk6no7CwkHHjxrkXqK5j+qu7e/qTcErqRj5ho/jLJ7Ca9B4dq1AouP/nG7kwr2+FdLTjarUzceJExo0b1+dzjpe18+HuOk6UNtLV+ZVIk5SUxD9+cxHxsUO78F2BhktoMJlMJCYmutPqvDFaqm8xcd9zGkTZ8CYGv4sL2jIq8l/z+Pg//mIjFy+e5MMRfUWnwc6He7UcKzXTalSOiNmjJDq48bIwViz0Xe3dHXfcwfHjx9m1a9eodXU+G6fTyT/+8Q9+9rOfoVAoyM7OpqysjMsuu4wdO3aEMhZChAjhU4YiLrS3t5Ofn09KSgpTp07tZdA9mL+CJEkYjUZaWlrQaDTsL5GosixFHhZ4w12n3cTG+TouXzg6henBaG9vp6CggHHjxpGdnd3n91RW08U7n1ZwuKAMTUut23w6QZ3B0w9cSXo/G0hn4/qeXYKSwWAgISHBLTR4Y7Dc2mHlvs1mBJVv2kI67WYU9nrSo1u4eX0uY1IDX0Yw0hjNDrYfbOVomUSHXT0ipROi6GB5bh1XX+abeEwURe6++27ee+89du3aRU5Ojk/OG2j8FecFrbgw2KRTU1NDWVkZ06dPJz09HafT6W5dOVAK/Is7wymoHHlx4dT+ZzB3NQ37uIiICP75wHXkZp2fE05DQwOlpaVMnz6dtLS0IR1T02Ti3c9radIY+P0P5hCh9Hyn22QyuZXujo4OYmNj3Wl1UVFDzz4oq+nioVfaQD78+kl/iwvtmtNUFrzu8fEP3f0Nls4f+Rur3elk95FWvizsor5VDjLvA0BJdDAn/QzzJyvcgUZcXJzHN1Cn08n//M//cODAAXbv3j1q+lAPh+bmZp544gn+/e9/o9VqiY6O5vbbb2fhwoWsWrVqVNeFhggRIngYLM5rbGykuLiY3Nxcxo3rNvNzeXENx7gR4Im3mijTZ/klU24wHNY27lhl5YLcwBvfjQQajYaTJ0+Sm5vL2LFD2+1v0pp557MqTldquf9Hi4mL9nyjwWw2o9Vq0Wq1tLW1ER0d7Y7zoqOjh3zdNGrNPPiaE7nKNzvhZyOKDuT2ZiamWVmzOJbszKHHoKMVSZLYW9jGnuNWmjpjkau83/QRRQdjFXtYMsXhjvPi4+M9LocWRZF7772X119/nd27dzNp0shsrgWSkY7zRp24IIoip06doqWlhTlz5hAfH48oijidziG1H3rtizAOnh75tN7Th17A2F47rGOSEuN5/q83khh//qVISZJEdXU11dXVzJo1i8RE3zj1e4PVakWn06HRaGhtbSUiIsI9AQ1kCFl4up3H3+5CkHuW9eB3caHlFJWFb3p8/P/dew0LZmX5bkBD5ER5Bx/saaaiSYYkH75BpyQ6uO5iBZflJaLX69Fqteh0OgD3BJSYmDjkMhlRFPnJT37Crl272LVrV79ZN+cTW7du5a9//SuHDh0C4PPPP+fiiy8O7KBChAhxXiCKIna7/Zy/S5LEmTNnqKmpcbfmczqdiKLo7vw1VOwOkT++oKGjDxO+QCBamrn7+rB+yzpHO66WitOnTw+KrD673e6O8/R6PeHh4e44Ly4urt9r6Uy9kb9tlaFQ+cajaTAkSUK0aslM6OLSOREsmO75JshoorzGwAd79ZxpiUAemYlsmN32RNHJspxarr5U3SvOE0XRXSaTlJQ05DR/SZJ44IEHeP7559m1axfTpgVH69ORZCTivFElLtjtdgoLC7FarcybN89t3NhX3V1/vLM/jN0nR15cOHP0FTr1FUN+fm52Bk89+E3Cw4LWY9NjJEni9OnTtLS0MHfuXGJigi8NzGUI6VK7XR1GXAtQ1wS0t6CV5z42eZW+729xoa25mKrjb3t8/BMPXM+sqf73/tBqtZw4cYIZM2YgymP5aK+eExVWuqwRg7Z7lUQn31wuZ/XS3jsOoijS0dHh/p4tFkuv9EmVqu9MFFEU+dWvfsXHH3/Mrl27mDBhgs/e52jg1KlTPPXUUzz++OOBHkqIECHOE/oSF5xOJydOnKCzs5N58+a5jRuHE+e5aOu0cf9LBsTw4PCuCrPX8IfbEoiKOD/jvMrKSncnj2BsqegyhHSVycJXGw1JSUluQ8gT5Z08vS0ChTJwWXoOazvqCD2Lp4Wxasn5mckMX5XPTJw4kajYFD7e386JKhkmKWXQ8iVRdLIku5brr+gtYvUsh9ZqtRiNRhISEtxiQ38eF5Ik8Ze//IV//vOffP7551xwwQU+e5+jAV/GeUErLpw96RiNRo4dO0ZUVBSzZs0a0LhxID45pmDbMd/XdZ9NRcEbdGhKh/Tc5Yun88efrz4vVUqn08nJkycxGAzMnTvXq9o3fyGKYi+jIIfDQVJSEqcbI/k4P3LQhe1g+FtcaG06SfWJLR4f/8zDNzF1on8dcnsKC2fvfpgtDrYf0HGg2ISmI+ycDBJJdHLNRXLWLBs8ldFoNLonoI6ODnf6ZHJyMjExMQiCgCiK/OY3v2HLli3s3r3b7e/ydSXUijJEiBC+4Ow4z2KxuLs9zZkzh7CwMI+FhdPVXfzjfTlyVXAszJIUFfzmljTk8vPv3ilJEqWlpWi1WubOnTsqOh9IkuTuMKLRaLBarSQlJdHYEctHRVkowgP/HiRJZHpyFXd8I/g7FHiCy0+lr/IZm13ksyOtHCxxoDMnnmPAKolOFmbVcOOqwcurzy6TiYyMPKdMVpIkHn/8cR555BE+/fRT5s2b58u3OurwNs4bFeKCXq+nsLCQzMxMcnNzgcGNG/ujpEbk3x87cMpGNuWo+sRWWpuKBnmWwE1XLeWOGxaP2DgCid1u5/jx4zidTubMmeNuezKakCSJrq4uXt9Wx4EziT6p1/S7uNB4guqidzw+/oVHb2Fi1sjUHPbFQMLC2UiSxP4Tbew62kF1i4ATJd9YJmP9RcNPx7TZuvtoa7Va9Ho9f/nLX0hJScFut3Po0CG++OILJk+e7OnbChEiRIgQPZAkyd0WraOjw91ZYNq0aW5h1xNhwWYXuecZPTb52IC0w+uJJDqZmlLNnefpAtHpdFJUVITJZGLOnDmjYgPpbFyGkB9+0cDe6ilBYfgpiU7mZtZw67qheZONNgYSFs5GkiTyT3fy+THTf9tcqlk4vo6bVg8/zrPb7b3KJ/75z38il8uJiopi27Zt7Nixg7y8PE/fVoj/EvTiQm1tLadPn2bq1KlkZGT0Mm4crrDQk6pGC58cNFHerMIpT/T5Yq/m5PvoGwr6fVwmk/PrH6xmzSVTffq6wYLFYqGgoAClUsmsWbNGtP/wSPPC+/XsKVb47BqJThjv151ffcNxak6+6/Hxr/z9NsZn+KfucDjCQl90Gu3ERnlf9iSKIu+//z4PPvggp06dQqlUsmrVKjZs2MDatWtJTvZN54kQIUKE+LriEheam5vdHaTGjx/vlXFjT+pbTHywr4PTDUqcYenI/Gzm6HRYWDGtmU0X+0+c9yeuUmVJktyZJqOVd3dr+OzUGGQj0LFquIiigyXZdeek+58vtLW1UVBQwKRJk8jMHH7JUpfRToyP4rydO3fy0EMPcfjwYcLCwlixYgUbNmxg3bp1ZGRkeP0aX1eCtvBLkiRKSkpoampi/vz5xMfHe5we1xcTxqj4wTe666sbNB18fNDIqQYlDsE3u9Myef8Xfni4kv+792pmTQ2807wkSZTXGvrtJewJRqOR/Px8EhMTmTp1qseOrcHAP96oIb9SNcrTwEWvjvaXD4i3wgLgE2EBugPaM2fO0NzczLFjx5DJZLz//vs8+eSTlJaW8tBDD/nkdUKECBHi64rLuNFl9JycnDzkzl9DITM1kju/0V1frWnt5IO9bRTXhmGXpw0Yo/kCh7WTmy/uYtHM4BAWymsMTBwX5bNYxlXCEhkZycyZM0f1BtIrn7RwqGYsMnngl0Si086lUxu48uKQsNAfvhAWoDvOa2xspKSkhF27dpGWlsYHH3zAf/7zHw4fPsxzzz3nk9f5OhK0mQsuk4/Zs2cTERHhU2FhIHTtNj7cb+RkrQIrScN2LnXRcPpTWqr3n/P3qMhI/vK/q5k+ZXzAb8Z2u5N7nqxGb4pBEM2MS3ayYkE8S2YlePwZt7e3U1hYSEZGBhMnThy1i3JJknhoczXlzb5vDeTvzAVdfT61xR94fPx7z/6AxISRbZHkC2HBV0iSxN///nf++te/smPHDubPn9/rcdd9KESIECFCeI7RaOTgwYPMmjWL6Ohov8V57Z02PtjbyvEqBRYhFbnCs85P/WE3tXDrxa3MmT4m4Lv5kiTxwIvN6Ow5OKztJEfqufCCcC6em+ix/4PBYKCgoICkpCSmTJkyqufDp7Y2UaKZEPDyGQCnw8raWc2sXnp+Zkb6QljwFZIk8eqrr/Kzn/2Md999l8suu6zX46E4zzuCVlyQJAmr1epOj/PHhHM2HV12Pj5ooLBSjklMHFa6VOOZ3TRXfNHrb2PS1Pz2+4vo7GzFYrGgVqtJSUlBrVb7fQLqNNi5+8k6zM5zTWskp5X0BDvLZ0dz6cIkwoYogmi1Wndq42hu0ydJEvc+XUVD+8gY+vhbXNDWHaOu5EOPj//k5buIjuy7i4IvCDZh4emnn+b+++9n27ZtLFq0KKDjCREiRIjzGYvFAuDuDuZNGYQnGM0OPtqn51i5gFFM9b7e3lLHrRfrsRj1GI1GEhMTSU1NJTk52e++U1abk3uf02ORZ53zmMPWRXy4jkVTZFyxKBFl+NDiPNfG39ixY8nJyRm1G0gAj77aRK0hJ9DDAMBpt3DVQi2XzPdPCaq/CTZh4e233+aHP/whb7/9NqtWrQroeM5HglpcsFgsHhs3+hqTxckb2xs4UROOQ5GBbBClu6VqLw1ln7n/PXdmDo/9/kq3K6nRaESj0dDS0uKegFJSUkhJSRnxCahBY+K+51pwCoPvRktOG+oYK4tnRLJmaTIqZd+ZHA0NDZSWljJ9+nTS0ka3AY0kSRwqamPnkW6TQFHWd9saT/G7uFB7hLpTH3t8/Gev/3TESiM0Gg1FRUVBIyy88MIL/OY3v+Gjjz5i2bJlAR1PiBAhQpzPuDaR/JWxMBhWm5O3dtRwpAwc4cPvGBAlVXLfbSmEh3XveLq6EWk0Gjo7O4mPj3fHef21PfYVbZ027ttsBOXgdeNOu5koWQtzciTWLk3sN+1co9Fw8uTJIZnwjQYKT3fy6VEjtfpoBGVKwK49p93I9cvaWTor+Np3+oJgEhYA3n33Xb73ve/x2muvsX79+kAP57wkaMWFp556io8++oiNGzeyevVq4uPjA/bDlySJsrIympqauss0ImP59EgXh0ol2q0JyBTnKt2amkPUl24DYMMV8/nlHZf0e36TyeRuhzPSE1DxmU4efaMd5MM/ryQ6iFOZmT9ZxbqLkomPCUeSJKqrq901k4mJiT4dbzBQWtXFx/v1nK6TsEmRXl+H/hYXNDWHqS/9xOPj97z9ixEZr0tYmDlzJikpga1LlSSJl19+mV/+8pd88MEHXHzxxQEdT4gQIUKc72zZsoWnn37abaCWnJwc0DjPFcvMnDmTuPhEPjvcyr5iB60WNQpl7IDHjo+p4GfXp/c7fovF4o7z2tvbiY2Ndcd5kZG+3cCobjLxyFsSctXw0+tFp41wZzMzxjtYtyyB5ITujbT6+nrKysqYPn16wDcCRoKqBhMfH+igvEmFMyzV45Lo4eKwdXHbZV3Mmxrvl9fzN8EmLHz44Yd8+9vf5uWXX+Yb3/hGoIdz3hK04kJ5eTmvvPIKW7dupaysjEsuuYRNmzaxdu1aEhMT/TYBudrsGI1G5syZc84kYHeK7DpmYH+xiN4UhyysOxtAV5dP3amP+OGtl3HtutlDfj2LxYJWq6WlpYX29nZiYmJISUkhNTXV6wnoi2N6XtxmRvCBG64kOokMMzM+yciUtFYuuXAuMTG+M4UMVhq1Zj74UseJCjsme4RH5p/+FxcOUl+63ePjv9zyS/71Vi11GgdLZkZxxSL1kFMo+x1TkAkLb7zxBj/60Y/YunUrV1xxRUDGYTQaqaysZNy4ccTFxQVkDCFChAjhL2pra3nllVd45513KCwsZNmyZWzcuJENGzaQmprqt3lSFEVOnTqFXq9nzpw558QyTqfEnoJW9hy3oTEloVDGf3Ws087CCXXctGroGZs2m80tNLS2thIVFeWO86KivDNdLCjt4NlPI1EovZ9DRNGB3N7CmBgtExKaWHHRBSQknJ+76z3RtVv5aG8bRTUj48nhwmHt4Purzcyc2L9w5U9e2dZMSY3A/EkCqxYnEqnyTmAJNmFh+/bt3HzzzTz77LNcd911ARnD1yXOC1pxwYUkSZw+fZotW7awZcsWioqKuOiii9i4cSPr168nJWXkUpmsVisFBQUoFApmzZo1qC+C0ymx74SBPUUOGhpauPFyJcvmT/D49W02mzulTq/XuyeglJQUoqOjh/W+39rZxMeH8UknjLORJBGlzMTUcXLWXZhETubIeBUEG50GOx9+qeFIqYV2swpBNjTfDH+LCy3VB2g4vcPj46+++psUVn/VMUMS7cRHWJg3ScXaC5NJiB2eWBVMwgLA1q1b+f73v8+bb77JmjVrAjaOH/7wh7z33ntkZmaSk5PDtddey4YNGwI2nhAhQoTwB5IkUVVVxZYtW3jnnXc4fPgwixYtYuPGjWzcuJGMjIwRmzPtdjvHjx/H4XAwe/bsQbNFJUni0Ml2Pjtmobkzik2L7Vy2wPM6ebvdjk6nQ6PRoNPpUKlU7jgvNjZ2WO/700M63juqRh7m20wI6I7zJKuGCclGVi+KZuqE838zCcBkcfDJ/laOlkl0OlJQhPvG3NpubuXCcYeYmZtEcnIyarU6oCbvmz9q5ljdePcawemwopJamD7OwdqlCaQkDk9gCTZhYdeuXVx77bX861//4uabbw5YhtTXJc4LenGhJ5IkUVFRwZYtW9i6dSvHjh1jyZIlbqV7zJgxPrtgurq6KCwsDJp2imdPQEqlktTU1CFNQP96q5YjZ8IRhJF/D5IkocDExDECq5ckcEHu+avM9cRqc7LjoI59Jwy0dIQhDFB24ndxoWofDWU7PT4+d8Et/T4mSSIRchPTshSsW5ZE1piBJ95gExY++OADbrvtNl599VU2btwYsHE4nU4ef/xxvvzySw4ePEhLSwsAjzzyCHfddVfAHcdDhAgRwh9IkkR9fT1bt25l69at7Nu3j3nz5rFp0yY2btzI+PG+mz9NJhOFhYVB007R6XT2ivMUCoVbaBisNPi1HS3sr8gc8Rab7rFatGTEd3LZvAgWTIsb1caOQ8XuENl9rJV9Jx1ojAmEqTzL4nBY9PziapGESLt7A9Fisbi91/xt/vn8B00UNvTfMUMUncjsLWSnmFm1MJrJWQMLS8EmLHz55ZdcffXVPPbYY9x2222B89b4GsV5o0pc6IkkSdTW1rqV7gMHDrBgwQK30j1u3DiPLyCdTkdRURHjx49nwoQJQXfTdDqd6PV6NBoNWq0WuVzunoASEr5qIylJEn98rppq3ci2ERwIQTQzPlnksrw4llzgeYvL0YAkSZSWlqLVarGFT2RfkYVarRxJ1tuTw9/iQnPlXhrLPxv8if0wkLjQE5ewlJ0Gly+MZ97U3sFQsAkLn3zyCd/61rfYvHkzV199daCHgyRJCIJAWVkZN910ExqNhmeeeSZgZRohQoQIEUgkSaK5uZl33nmHLVu2sGfPHmbOnMnGjRvZtGmTV+2uXW2z09PTmTRpUtDFJqIo0tra6i6fEASB5ORkUlJSSExM7LXh9Y83myhvm+CXDaS+cFjbSIlq46ILwrhojuctLkcDrk3Ouro6ZNFTOFAK9W0xyFVDi2mcFi33XC9jTHLvuNBl8q7Vauns7CQuLs4tNPjak6Mn/363maKWrGFdO06LlvTYTi6erWLJrN5xnktYmDx5MhkZg5uJjjQHDhzgyiuv5KGHHuLOO+8M+O/86xLnjVpxoSeSJNHY2OhWuvfu3cusWbPcSnd2dvaQL6i6ujrKy8uZOnUq6enpIzxy7zl7AgJISUkhLkHN/73RRZslOFLXJNHOd9dGsGTW+Wf4CN3fQ3FxMZ2dncybN69XauWJ8g62HWjjTKOEXYokJjHLrze4poo9NJ3Z5fHxQxUXzsFpYUyigwtnRTNzgsSpkpNBIyx89tlnXH/99fz73//muuuuC/iE05N3332XW2+9lTVr1vDYY4+RkpLinpBChAgR4uuIJEnodDreffddtmzZwq5du5g8eTIbNmxg06ZNTJ06dcj3yObmZkpKSkZN1wNRFGlvb3fHeU6nk+TkZJKSknnmYyetzomBHiLQbQa5ZlYzq5eoAz2UEcFl7t7S0sLcuXOJjv6qBLi8xsDHh7qobIlACkvtswRZtDRz781Kt0lmf7i817RarduTwyUsxcTE+CwWeGprEyVa70Qph7WDBKWehVPkLJgkUFJyImiEhaNHj7Jhwwb+8Ic/8KMf/SioYqjzPc47L8SFnkiShEajcU9Au3fvZurUqW6hYfLkyX1+eZIkUV5eTmNjI7NnzyY+Pt7/g/cSSZJob2+noqqRpz5RIMqDw3hHctq4c1MUedODYzy+RhRFTpw4gdlsZu7cuSiV/U8cNU1G/u8DNeBHceHMFzRV7Pb4eI/FhR6IThtxKhOLZkSzdlkysf20uvIHe/bs4ZprruGJJ57gW9/6VlDczF2TSnt7O7/+9a958cUXeeGFF7jhhhv6fJ5Op6O6upqSkhKWLFnCxInBEVyGCBEixEgjSRJtbW28//77bN26lR07djBhwgQ2bNjAlVdeyYwZM/osZXV1hKiqqmLmzJkkJw+/m0KgkSSJzs5O6uqbeWZ7JEL05EAPCehuZ7lpgY4VeZ77TwQzkiRRUlJCW1sbc+fOHTCboEVv4cN9bRTXhmOXpyKTh4OlkT/cGkn8MD2q7Ha7O1NZp9MRFhZGcnIyycnJJCQkeFyy/c+3mzitH/rG61Bw2s2EORuZM1Fg3dIEEuNGxghzKBQWFrJ27VruuecefvGLkel4Nly+TnHeeScu9ESSJFpbW3nvvffYsmULO3fuZOLEie6UumnTpiGTyejs7GTHjh2kp6f32RFiNFHbZOL+FzSIsiB5D6KZX9+YyOTxwZFB4WucTieFhYU4nU7mzJkzpJqpn/w7Akny342u8cwumiv2eHi0QO6Cb/l0PK5OIzOzFaxbpiYz1X/X6r59+7jqqqt49NFHuf3224NiwoGvJpMvv/ySW2+9lbS0NF588UVyc3PPee727dv5yU9+Qnl5OUqlEovFwqWXXsqf/vQn8vLyziv1O0SIECEGo6Ojgw8//JCtW7eybds20tPT3ULDnDlzkMlkWCwWPvzwQ1JSUvrsCDGa0LVb+ePLJlAGfncYutspfvvSLuZPiw/0UEYEURQ5efIkBoOBuXPnDqtFfJfRzvZDbaxalEB0pHebKq5MZZdPgyiKbqEhKSkJhWJo3R26y2h8KyycO1YHMnsLuWkW1iyOJTvTf+XZJ0+eZPXq1fzsZz/jnnvuCZp46OsU553X4kJPJEmio6ODDz74gC1btrBjxw4yMzO5+OKL2b59O+PHj+eDDz4Y1YYax8s6ePytDhjATNCfyCUjf7g97ZzasvMFu91OYWEhgiAwe/bsId/Y/S0uNJR9RkvVXg+P9r240BNJkggTug1AVy5KYNakkTMAPXToEJs2beLBBx/kBz/4QdDdmB0OBw8//DC/+93v+POf/8xPfvITlEolrlu0IAhs2bKFm2++mejoaG699VZmz55NWVkZzzzzDBMmTODjjz8+r9sbhQgRIsRAGAwGPv74Y7Zu3crHH39MYmIil19+OXv27CE8PJzdu3cTETF6Y5LKeiP/t1VArgqO0gOHpZWfbHSQO/787BLmdDo5ceIEVquVuXPn+tVocSBcGSwunwaz2UxiYqJbbOgvg/ax1xup6vTvDrgkSYhWLZkJXVw6J4IF00fOAPTUqVOsXr2aO++8k/vuuy8U5wWIr424cDZdXV08+eST3HfffdhsNjIzM9m4cSNXXnkl8+fPD3h3iOHy+WEdL++0Drkd4kijFAz8+QeZxMcEx43Y19hsNvLz81EqlVxwwQXDcpn2v7iwk5aqfZ4dLMjInX+zbwc0EKKZsWond98yDpXSux7LPcnPz2f9+vX8/ve/58c//nFQTTguBbq0tJTbb7+d+vp6Xn/9dRYtWtTrefX19VxyySVUVFTw3nvvsX79evdjTzzxBD/60Y+4++67+dOf/uTvtxAiRIgQQYfJZOLll1/m17/+NUajkaSkJK688ko2btzIkiVLhrwhECwcO9XO8zujUShjAz0UAERLC/fcEEa6Ojg2tHyNw+GgsLAQSZKYPXt2UG8+Go1Gd0aDyxDS5dPgysZ+9NVGag2BT613WNtJimjlp99MHHYr84EoKytj9erV3HLLLfz5z38OxXkBZHStoH3I/v37+dOf/sTdd99Ne3s7jz76KDqdzm0M9Mtf/pJ9+/bhdDoDPdRBeWNHIy/vtAeNsBAb3sXffjLuvBUWLBYLR48eJTIyklmzZgW8fdVgSJLo8bH+vjVLgor0pDCfCgsnTpxgw4YN3H333UErLEB3ZsWxY8dYtWoVkyd319GKYvd3ZzQa+fe//01FRQU/+tGP3BOO6/Hrr7+eMWPGUFlZ2evvIUKECPF15cSJE/zud7/jlltuob29neeeew6r1cpNN91Ebm4ud911F59//jl2uz3QQx2Ubft1vPB5QtAIC4K1ngduU563woLdbic/Px9BEJg7d25QCwsAUVFRZGVlkZeXx4UXXkh6ejqtra3s37+f/fv3c98zZ4JCWABQKOOJjRB9KixUVlaybt06rr/+eh588MFQnBdgRpds60P27dvHv/71L2688UYArrrqKq666irMZjOffvopW7du5dprr0WpVLJ+/Xo2bdrE0qVLg+4GYzQ7KCizgBQOBH6Rmx5r4P47JiCXn5+6ldls5tixYyQkJDBt2jTPbmD+zhXyKjnJfzdoSZLIy7Xy/avG+eycJSUlrFu3jp/+9Kf88pe/DKoJB3CPp6mpie3btyOXy1m9ejUJCd3mp64MqjNnzvDmm28ybdo0rrvuOqB7YnE9HhERQXt7O5WVlZjN5lGd9hsiRIgQvuDQoUP87ne/46677gJg7dq1rF27Frvdzu7du3n77be5/fbbsdvtrFu3jk2bNnHxxRcPaMocCOwOkcOldiTRDgT+3q50VPPHO5JQhgc+5hwJrFYr+fn5REREMHPmzKDfQDobpVJJZmYmmZmZOBwO/vRiA21MDfSw3GRGVvCLG8f47Hw1NTWsXbuWTZs28cgjjwRd5vnXMc772ooL999/f59/j4iIYMOGDWzYsAGbzcauXbt4++23ufXWW5EkyT0BLV++PChqr6IiFDz0P9nYnU4+P6Tni0IDTW1hCHL/T46T04386lsTgm4B5ysMBgP5+fmkpqYGZV/s/vAmc8FfSJLEgolW7rzad8JCaWkpa9eu5fvf/z6//e1vg+77OnHiBMnJyaSnp1NRUcHu3btZunQps2bNAr5Su51OJ4cOHeL06dP87Gc/Y/bs2UD3hOSaeA4cOIDNZiM9PZ2IiIheE1KIECFCfB358Y9/3Offw8LCuPzyy7n88sv55z//yd69e3n77be56667MBgMrFmzhk2bNnHZZZcFRQAfppBx723pSJLEnoJ6vii00mJMRKH0fweuBHkFv/tOGnJ5cM2nvsJisXDs2DFiY2OZPn36qJ5HJUni4Ve0tIrBIyyMiTjDL2/ynbDQ0NDA2rVrWblyJX//+9+D7vv6usZ5X1txYSiEh4ezcuVKVq5cyZNPPsmePXt46623uPPOOzGbzaxbt46NGzdy6aWXDss9diQIk8tZuSSFlUu6e6XuyW/lsyMd1OsVI27wKEkiCyfZ+f5VE0b0dYaK3e5k5xE9l8xL9Fl6fWdnJ/n5+WRmZpKTkxN0C9WB8MpWxQ/vU5Ik5uVY+cE1vhMWzpw5w7p167jlllu4//77g+770ul0fPe730WpVLJmzRoqKipoaWnhgQceICsrC/hq0pEkid27dxMTE8OyZctQqVTux1wTS0FBAQ6Hg8suuwwg6N5viBAhQgQjCoWCiy++mIsvvpjHH3+cAwcOsGXLFn71q1/R2trKypUr2bRpE1dccQVRUf5zvO8LQRBYPjeR5XO754cjxY3sPGamsSNuxA0eJUlifEwlP78hfURfZ6hIksT2A3ounBNPVIRv4jyTycSxY8dISkpi6tSpo3oelSSJB15sRmfPCfRQ3KSrKvj1zb4TFpqbm1mzZg0XXXQRTz75ZNAttL/OcV5IXBgiCoWCSy+9lEsvvZQnnniCffv28fbbb/Ozn/2Mjo4OVq1axaZNm7j88ssD3spSEASWz0ti+bwkJEnicHEbOw62U62RI8l8q8JLopP5WVquXj4mKFQ0s8XBr56oweiI4c3dLcRHWJg/RcX6C1OIjfaspKW9vZ2CggImTJjgviGMKrzKXBjZm5ckScydYOF/vjneZ+esqqpi3bp1XHPNNTz00EMBvyb7IjIykhUrVvDYY4+xd293J4+kpCTMZjMmk4nIyEj3uOVyObt372bMmDFutRu+mpQaGhr44osviIuLY/78+UBwTzohQoQIEYzI5XKWLVvGsmXLePTRRzly5Ahbtmzhvvvu43vf+x6XX345GzduZPXq1cTGBtb7QBAE8mbEkzcjHoDjZc3sOGykpjUGuSrFp68liU4yVQXcvEKN0+kMeJmA3SFy77NaTLIJfFhoRSW1MHO8g/UXJpAY51nWrsFg4NixY6Snp5Obmzuq51BJkrj/+WZancEjLKSpKvjfb/lOmNJoNKxdu5a8vDyeffbZgF+TffF1jvO+tt0ifIUoihw6dIi3336bd999l5aWFq644go2bdrEypUrg66X8vGyDj7Z38qZJgFR8E4EkUQ7GxfZmTLGgkajwel0ut1pk5KS/P5jb++y8b//qscmndsSSRKdRIWbmTUxjA0XJZOaOLRsDr1ez/Hjx8nNzWXs2LE+GeePn4nAn14GNcUfoK/P9+hYmTyMnLk3+HhEXzFrvJkfX+87YaG2tpZVq1axevVq/vnPfwalsHA2//nPf/j73//OkSNHiIyMZPny5dx8882sX7+eqKgoSkpKmDFjBkuWLHFPUD158803ueOOO7jssst48sknSU5ODsC7CBEiRIjzE1EUOX78OG+//TZbt26lqqqKFStWsGHDBtauXUt8fHxQBfrlNQY+OtBJpSYKlKkIgufzoOi0kTeugoW5VjQaDTabDbVaTUpKCmq12u8dNyxWJ799tg172LmZjqLTgdzRzJQMK+uWxpGZOrQYt6Ojg4KCAsaNG8eECaO/tPe+55poCyJhISW8gt/c6jthQafTsXbtWqZMmcKrr74adF54ffF1i/NC4oIPEUWR/Px8tmzZwtatW6mtrWXFihVs2rSJNWvWEBsbG1Q3rcPH63jn8/9v777DmjzXP4B/XwIIyB4BceEWURBn3XsgI8GqdVatWm21Q2vVelxVK2qHrT3abbXa1lYSUGQoCCi4FRcgbkBZAdmQkJA8vz/8kSOOlhGSgPfnus51rpK8yfMayH3nm+d9nhzkSm2g5MxrNTamlOMdYXP0c3tyzd/Te+7m5OSgoqJCXYAcHBwavADl5Mmw5qcsKLl/n7bImArNDMrh1pYH36H2cHF+8TESiQSJiYlwdXVFixaae2PUeriQeBiPM67W6VgDnjE69Jqm2QH9P/c2Unw4XXPBQmZmJsaPH4/hw4fjxx9/bBTBwtOuX7+Ozz//HAcPHoSfnx9+++03NG/eHJmZmRgyZAhcXV1x9OhRVFZWgjEGIyMjPH78GPPnz0dISAj++usvTJw4Ua/eYwghpClhjCEpKQmBgYEICgrCzZs3MXz4cAiFQvj4+MDOzk6v3oMTb+fgUGQWHitaw8DEGZxBzb/0USqkEPbNw+h+dgCenHtpaam6zysvL4ednZ26z2vodciKSuVY/2spWLNW/3pfplIB8hy055fB6zULdHF58Rd9BQUFuHr1Ktq3b4+2bTXXj+hSalY5ws4U4XamCZRGjjAw0N0kdQeje/jPHCeN/U0UFBTAx8cHbdq0waFDh/Ri7bvaeFX6PAoXGghjDImJiTh06BDEYjHu3LmDkSNHQiAQwNvbG7a2tjr95cjIyEBKSgrc3Nzg5OSEtKwyHDmVh6RUJSpUZv+cdKukWDnDFl3avvjN+ukCJJFI1PtLN1QBSs0sw6a9eXW65IMxBkOUo1NLDt4DbeHW8clUx6ysLNy8eRPdu3cHn6/ZKYbaDhdSbwQjP/NanY414DVDh15TNTwioHurciyb6aKxx8vOzoaXlxf69++PX3/9VS+nyNWUVCrFnTt34O7uDuD/d9Ho1w93795FVFQUevfurb7v1q1bsXr1agiFQvz55596t8o5IYQ0VYwx3L59W/2F0rVr1zB48GAIhUL4+vrC0dFRp31e1RckVTMvs/JkCIkvwM1HzVDJc4IB7+UfOivlJZg7sgR9ulm/9D5lZWXqPq+kpAQ2Njbg8/ng8/kar0W5BRXYuL8CBiZOdTpeKZOgtU0JRvcxRa+uVuA4Dnl5ebh+/Tq6dOmCli1banS8+iKvsAKhpwtwI9UQMo4PnqH21oezM7yHtXM1FywUFRXB19cXfD4fQUFBjbrfaep9HoULWsAYQ0pKijrpTkxMxNChQyEQCODr6wsHBwetFSDGGFJTU5GamgoPDw/Y2to+d5+sPCkOn8zD9XsKSJXVgwYeK8On853g7FDzD/IvK0AODg71Xggz6X4xvvyzUGOLVnKqcrSwlsHFWgLh2G6wt9f8IklaDxeui5GfdaNOxxoYmqCD5xsaHY9bq3J8pMFgITc3FxMmTIC7uzv279+v9WmaDanqervY2Fi88cYbaN++PebPnw8nJydERUVh165dcHZ2RkREBLp27arr4RJCyCuJMYYHDx6og4aLFy9iwIABEAgEEAgEcHZ21mrQ8OjRI9y+fRtubm5wdHR87vb8ogqExBXgepoh5AZOMOD970ufSlk+PhRUolPb5y8xfRmpVIrc3Fzk5OSgqKgIlpaW4PP5cHR0rPeOGw+zy7HtbwaeiWamglfK8mHbTAJns3QIR3fQ6MxUfVYuq0TE2Xxcus1QpHCAoXHNX9/asjW8h3UaDBZKSkogFAphbm6OkJAQnS+ir0lNsc+jcEHLGGO4d++eOmhISEjAwIEDIRAI4OfnhxYtWjRYAWKM4datW8jJyUGvXr1qtB5EfpEch09KkHBbDsaAzYtawdqi7jMPZDKZOmgoLCxUFyA+n1/rhTAvJBXgu+AycLwGmhallKGlXSWG9bLAiN524PE0M81e2+HCg2siFGQn1ulYnqEJ2mswXLA3TsOUoZx6bY76Nh2PHz+Gt7c3OnXqhIMHDzaKa+9qizGGyspK7Nu3D+vXr0d2djZMTEwglUoxatQobNy4EQMGDND1MAkhhODJe/bDhw8hFoshFotx5swZ9OnTRx00tG3btkH7vAcPHiAtLQ09e/aEjc2/b1dZUqbA0dP5SLjLQa40wqpppmhhX/cPbxUVFcjNzYVEIkF+fj7Mzc3VfZ65ee0+0KakluLbEKMG23azsqIYtiZ5GOBqiNH9bWFs1Lgup6wrpZIh5nI+4m/IkVuu2W1NeaVX8MagQvVrXt9dVsrKyvD666/DwMAAoaGhOt+1pSE0tT6PwgUdYowhLS0NIpEIQUFBOHfuHPr166cuQK1bt9ZYAVIqlUhKSkJJSQl69eqlF3s3y+VyddDwbAFq3rz5P557zMU8/BZZAc5AOx8mmVIOB0s5BvYwg9dABzQzrvu0e22HC/evHkJhTnKdjnWwNceyd9/AiUtFSJNwAK/ui4B2aVGOD95wUjcdBQUFaN68ebWmoza/74WFhfDx8UGrVq0QGBjY6K69q6vw8HDcv38fr732Gjp27AgrKytdD4kQQsgLMMaQlZWFoKAgiEQixMXFwd3dXd3ndezYUWN9XtUs2dzcXHh6eurFguIKhUJd8x8/fgxTU1N1zbewsPjHc09IKcIvUeYwNNbOeSgV5TDn5aB3Jw4TBtpqbItLfccYw+WbRThxWYqH+eYwMOHX+XfS2uAeVs+yRV5enrq3NzU1VX+hVNu156RSKSZPngy5XI7w8HC9+J3Whsbe51G4oCcYY8jIyFAn3adPn0bPnj0hFAohEAjqtYKtQqHAtWvXoFQq4enpqZcfwhQKhfrNKC8vDyYmJuoC9OybUcipHIjjleB0tEgNUylgbSpDX1cT+Azhw7J57QIO7YcLf6Mw52adjnW0t0DgD4uQnZ2NpKQkmFh3xpkkJe5kMiiYWY1/Jzs7lWHVnHbVflb1mufm5iIvLw9GRkbqy2Wsra3/cUHG4uJiCAQC2NjYIDg4uElNkauNqul0hBBC9BtjDHl5eeqgISYmBl27doVAIIBQKETXrl3r/H6uVCqRmJiIsrIyeHp66sUXSM+qrKzE48ePIZFIkJubq675fD7/uR034hLy8ddZW/CMdLO1u7Ly/7e4dKmE7+C6b3HZmFTtjmZm0wEX7xjjbo4pmJFjjRcBteLu49P51dcZqXrNc3NzkZubCwMDA3XQYGtr+499nkwmw7Rp01BUVIRjx441ug/YmtIY+zwKF/QQYww5OTkIDg6GSCTCyZMn0a1bN3UB6ty5c41/0WQyGa5cuYJmzZrBw8OjUSx0p1QqqwUNhoaG6gIUdq4cUVd59dpaSZM4VTl2fNCyVgGDtsOFe1cOokhyq07HtuBbYed6PyQnJ8Pd3b3aGhTpWeU4Gp+HxAeVz63N8bSO/DKsfqvdC2+rolKpkJ+fr246GGPq3Uae3da0tLQU/v7+MDExwdGjR/WyiSKEEEJehjGGgoICHD58GGKxGJGRkWjXrh0EAgH8/f3h5uZW4x2PFAoFrl69CsYYevbsqZdfID1LqVRWq/kcx6n7vHM3VQi/7qjVxQf/SWVFEdZMU9brUhF9VxUsPLs7Ws5jGY6eLkRyuiHkvOprczzNkruPjfP/eQFTlUqFwsJC9WuuUCiq9XlPX9Yql8sxc+ZMZGVlISoqqkaX9xD9QeGCnmOMIT8/Xx00nDhxAp06dYKfnx/8/f3h6ur60gJUVlaGhIQE2NjYoFu3bo1uaz7gyZtRVdJ9KLYUacUuepPgcSop1s55+VaWL6P1cCHhTxTl3q7TsU4OFnhnSufngoVnFRTLERKXi4RbMhTJTNWzStrzy7DmX4KFZzHGUFRUpJ5KWbVOR25uLry9vbFkyRIAQGhoaK2v3ySEEEL0TVFREUJCQiAWi3Hs2DG0aNFC/YWSp6fnS/u3qi+QTExM4O7u3ii+QHrW0x86j54uRpp8EAx4+rF+UmVFERZ5SdHj/3cSa4peFiw8q7RcgfAz+bh8FyhVOqpnlVjgPjYtqN3OKIwxlJSUqHu7srIylJaW4vbt2/D398f69evx4MEDREdHw87Ort7nSLSLwoVGpOpD15EjR9QFqE2bNuqgwd3dXV2AkpKSIJFI0KpVK41e06crXx1IxY2HpnpzHgaqcmxc4FirXTOqaDtcuHv5dxTn3a3TsXbWzfDztum12jVDVlGJiDN5yClQYOHE1nV63qeVlZVBJBLh66+/xq1bt2BhYYFVq1Zh6tSpaN++fb0fnxBCCNEXpaWlCAsLg0gkQlhYGOzs7ODn5wehUIi+ffuqA4SUlBTk5OTA3t7+H79oaiz2hGThaoZLjafhN7TKigJ86Keo1a4ZjU1Ng4VnyRUqRF/Mx90MBRZPqv+uEOXl5Th+/Di2bt2KGzduwMTEBMuWLcPMmTPrdbkQ0Q0KFxqx4uJihIaGQiwWIzw8HHw+H35+frCwsMCXX36J/fv3w8vLS9fDrBfGGDb9korUPP1ZHZbHyrBlkTMcbOp2DZ62w4U7l/aj5PH9Oh3b2tkaf3y7QMMjqr2KigpMnz4dmZmZePPNN3H8+HH19apnz55tkqsHE0IIebWVl5fj2LFjEIlEOHr0KMzNzeHn54eWLVti27Zt2LZtG958881G/+Hr278zcaegg96cR6XsMT6ezODSQjdrPmhDXYOFhqJUKrFo0SKcO3cOS5YsQWxsLI4fP442bdogOjoaLVu21PUQSQ1RuNBElJWVITw8HF988QXOnz8PGxsbTJ8+HUKhEP3792+UU+WUShXWfPcAOaX6szqsEVeGbe+2rNd2nFoPFy7+hpL8B3U6tkNbB+z9ao5mB1RLcrkcs2bNQkZGBqKiomBrawvgyW4R8fHx8PHx0en4CCGEkIYmk8kQFRWFHTt2IDo6Gs2bN8fUqVPh7++PwYMHN8qtmBlj2HYgG1nSDroeippSlovV0wzqNDO1sdDHYOH9999HfHw8YmNj1UFCWVkZoqKi4Ovr2+hn5rxKXo19Vl4BZmZmuHPnDm7evImwsDAoFAqIRCJMmTIFJiYm8PX1hVAoxKBBg2BoqP8ve4VciVW7UlFUoT/BgolBKbYvaQ1zs8ZVwBlT1flYnoFuv0VQKBSYN28e0tLSEB0drQ4WAMDa2pqCBUIIIa8EExMTZGdn4/z58/jrr79gbW2NwMBAvPXWW1AqlfD29oa/vz+GDx/eKBZ1ZIxhwy/ZKFTpT7CgkmVj/axmdZ6Z2hjk5eXh+vXrehMsqFQqfPTRR4iNja0WLABA8+bNIRAIdDg6Uhf6/ymT1EhaWhp++eUXnDx5Ej179gQA+Pn5QS6X48SJExCJROqpc1UFaOjQoXpbgHYfeohCWXPoyQw5NDcswfYlbWFq0vj+ZOozOcmAp7ukuLKyEgsXLsTNmzcRExNTq3UfCCGEkKYkPz8f27ZtQ1hYGIYOHQoAGDt2LHbv3o24uDgEBgZi8eLFKCsrg7e3NwQCAUaPHq23WzX/FpqDfEUb6MkSC2CyTGyaYwZrS/3sizVBH4OFVatWISIiAjExMWjbtq2uh0Q0gC6LaEIqKyv/cVZCZWUlTp48iUOHDuHw4cOoqKiAt7c3hEIhRowYoXcFKCdPhsOncnHtngLlClOdLfJjaVyCz99zgZGRZp5f25dF3Dr/C8oKH9Xp2O5dnPHdlhkaHtG/UyqVWLx4Mc6dO4eTJ0/qRREkhBBCdOnf+jylUokzZ85AJBIhKCgIBQUFGD9+PAQCAcaOHat36xMVFMsREp+P6w8MIeMcwTPUzYwBruIRNs+zaHQzU2ujKljo1q0bnJycdD0cqFQqrF27Fn///TdiYmLQuXNnXQ+JaAiFC68opVKJ+Ph4dQEqLi6Gl5cXhEIhRo8eDTMz/VrEpqBYjiMnJbh8uwIlFf/b6rCh2ZmVYMtiFxhpcM0KbYcLKed+RnlRRp2O9ejWCv/dNE3DI/pnKpUKH3zwAWJjYxETE4M2bdpo9fkJIYSQxk6lUuHixYsIDAxEUFAQsrKyMHbsWAgEAnh5ecHCQn8uOwWebHUYejofl+9yKFc5gWeknS+8DOXp2DTfGmZ6MjOVMabxhS31LVhgjGHTpk349ddfERMTg27duul6SESDKFwgUKlUOHfunDpoyM3NxdixYyEUCjFu3DiYm+vXNjyl5QqExOXiQrIUhdKGCxoczIoQsKSDxheR0Xq4cPZHlBdn1enYXt3b4JtP39DwiF5OpVLh448/Rnh4OGJiYtCuXTutPfeLpKamIikpCRYWFuppqIQQQkhjolKpcPXqVXXQkJqaitGjR8PPzw/e3t6wsrLSm50aAEBWoUT42ce4kMJQXMmHoXHDzLgwlN/HZwvsYdJMP4KF3IIKbNwvBwC0sS3FmL7N0bOLZb0eUx+Dhe3bt2P37t2Ijo5Gjx49dDoe6vM0j8IFUo1KpUJCQgICAwMhFovx6NEjjB49GgKBABMmTIClpaWeFaBKhJ3OxdlEKfJKjMHxNHOtnL2JBF4euTAwMACfzwefz4eNjY1GggZthws3z/wAaUl2nY7t6+GCr9ZN1vCIXkylUmH16tUICgpCTEwMOnbsqJXnfZHc3Fxs2rQJu3btAgDweDy0aNECa9aswZw5cxrlqtyEEEIIYwyJiYnqoOHWrVsYPnw4hEIhfHx8YGtrq1d9nlyhwokLj3E6SYkCuQMMjTUz48JQdgve3e/BwABwcHAAn8+Hra2tznZXy3ksw6bfK8Ez4Vf7eaXsMVpYFGK4pwkGeVjX6rXRx2Dh66+/xpdffomoqCj06tVLZ2OhPq/hULhAXkqlUuHGjRvqoOHu3bsYNWoU/Pz84OPjAxsbG70qQAqFEpHnHyP6ciHySk1hwKvbtXudHMvwydx2UKlUKCwshEQigUQigVKpVBcgOzu7OhcgrYcLp7+DtFRSp2Nf69Uen//ndQ2P6HmMMWzYsAEHDhxAbGwsunTp0uDP+TL5+flYsGABgoKC1IufymQyHDp0CJcvX8aePXswadIknY2PEEII0QTGGG7dugWRSASxWIzr169jyJAhEAqF8PX1BZ/P16s+T6lkOHUlH9EJUjyWOcDIxKZOj2PF3cen8x0BAEVFRZBIJMjJyYFCoYC9vT0cHR1hZ2entd3VMnOl2PKnCjwTh3+8X2VFEexMH2NgN0OM6mcLI8OXf+Glj8HCrl27EBAQgGPHjqFfv346Gwv1eQ1L78OFhrj2iNQeYww3b95UJ91JSUkYOnSougDZ29vrxeuUk5ODxMREdO3aDbcyjBCTUIyMx4YA79+v3WOMoUcbKZbNcHnhbVUFSCKRQC6Xw97eHnw+H/b29rUqQNoOF5Ljd0NWllunYwf37YiAVf4aHlF1jDEEBATgp59+QnR0NNzc3Br0+f5tLP/5z3+wbds2zJo1C9u3bwef/+RbhNTUVAwdOhTOzs44evQo7V5BCCEaQH2efmCM4f79++qg4dKlSxg4cCAEAgH8/Pzg7OysF69Tfn4+rl69ig4dOiCjyBIxCTJkFlvD0MSuRsfbG93DmjlOz50LYwwlJSXqPk8qlcLOzg58Ph8ODg4N9k32I4kUWw8y8Exq11NUystgaShB3y4cxg+wrbZmhD4GCz/99BPWr1+P8PBwDBw4UKdjoT6vYel9uED0D2MMd+/eVQcNV65cwcCBAyEUCuHn5wcnp+fftLUhMzMTKSkp6NGjBxwc/pf+MsZw5noBoi4UIi2XBxiYPncsYwx9O1bg3cn/vnggYwylpaXIyclRFyBbW1s4OjrWqABpfc2FMz+gvI6XRQwf0BmbljfcHsOMMXz55ZfYuXMnTpw4AQ8PjwZ7rpq4d+8e+vfvjzZt2uDAgQPo1q1btdW558yZg99++w3Xrl1TXyeYnJyM69evw9zcHJ6entX2aCaEEEIaG8YY0tPTIRaLIRaLcfbsWfTt2xd+fn4QCoVo06aNTvq83Nxc3LhxA127doWzs3O12xJSihB5sRwPCyxfOgPA2eweVs6s2e5TpaWlyM3NRU5ODkpLS2FjY6Pu85o108yuFg+zy7Htbw68GgYjL6OslMEUOfBop8KAriqk3k+Gm5ub3gQL+/btw6pVqxASEoJhw4bpdDzU5zU8/VjB5AVCQkKQnp6OvLw8jBw5Eh07dkSLFi2gUqk0vsAeqR2O49CpUyd88sknWLVqFdLS0iASiRAYGIiPP/4Y/fv3h0AggEAgQKtWrbRSgB4+fIg7d+7Aw8MDdnbV36Q5jsMgD1sM8rAFAFy+WYhjZwtwP5uDysAMjKkwpFsl3hLUbFcCjuNgYWEBCwsLdOzYEWVlZZBIJHj48CGSk5NhY2OjXqfhxQVIuwVZxZR1PtaQ13B/a4wx7Ny5E19//TUiIyN1HiwAwO7du5Gfn4+AgAD16sVPz0pp164dmjVrBqXyf/+mhw4dQkBAAORyOaysrODm5oZ169Zh7NixWh8/IYQ0FtTn6S+O49C2bVssXboUH374ITIzMxEUFASxWIx169bBw8ND3ed16NBBK31ednY2kpKS0L17dzg6Oj53e6+uVujV1QoAkHwvB+HnS5CaZwGu2ZNvpdtb3cOHU52fO+5lzM3NYW5ujnbt2kEqlUIikSArKwspKSmwsrJS93mmps9/YVUTqVnl+PyQAQxNbOt0/NN4hiaQoy0uPgTOpypgIDfE/RIlfAbL0MJed9vMM8bwxx9/YOXKlTh8+LDOgwWA+jxt0MuZC1OnTkVoaCikUqm6yHh6euKrr77CkCFDdD088hKMMWRkZEAsFkMkEuHMmTPw9PSEUCiEQCCAi4tLgxSgBw8eIDU1FZ6enrC2tq7VsUn3i5GVW4HR/f/5OreaqipAEokERUVFLyxAH/yo3W0+k+J3oaIsr07HjhvmhjXvT9DwiJ78rnz//ffYvHkzIiIi0L9/f40/R20VFxfDzc0NHMfhypUr1UIqpVIJHo8HPz8/REdHIzQ0FMOGDUNlZSXS0tKQnJyMmJgYnDhxAjdu3MCgQYNw+PBh2NrWv2kghJCmhvq8xokxBolEguDgYIjFYsTExMDV1RUCgQBCoRBdunRpkD4vIyMDt27dgru7e62nqt9/VIZbaeXwGqSZPq+iokLd5xUUFMDc3ByOjo7g8/lo3rxmu1rcf1SGL8U8jQQL/4SplOAUOejoKIXXQEt0bNUwu2688LkZw6FDh7BkyRIEBgZi/PjxWnvul6E+Tzv0LlyYPXs2AgMDsWjRIkyePBlFRUX466+/sHfvXnAch++//x5z587V2iIrpG4YY8jJyUFQUBBEIhFOnjyJ7t27qwtQp06d6l2AGGO4d+8eHj16hN69e+vdns0VFRXIzc2FRCJBfn4+zM3N4eDAx84T3bU6jsS4byEvz6/Tsd4je2DVYs0WBMYY9uzZgzVr1iA0NBSDBw/W6OPXVXh4OLy9vfHhhx/iq6++Uv+86nrg4uJitGjRAnw+H1euXHlhkLVkyRL8+uuvCAgIwPvvv6/F0RNCSONAfV7TwBhDQUEBDh8+DJFIhKioKLRv3x4CgQD+/v7o1q2bRmagpKen4969e+jZsydsbOq2gGNDUSgU6ksn8vPzYWpqCj6fD0dHR5ibm7+wz72TVoqvjxjDsJm1VsfKGAOrkKCNXSnG9m0Oj8712+Ly3wQHB2PBggU4ePAgfH19G/S5aor6PO3Qq3fuixcv4ujRo5gxYwbWrVsHK6sn05vGjRuH/v37IyAgAIsWLYJMJsOSJUv0YmEZ8mIcx8HJyQnvvPMOFi1ahMePH+Pw4cMIDAxEQEAAOnfuDD8/P/j7+8PV1bXWr2XVCscSiQR9+/atcVqsTc2aNUOrVq3QqlUrdQHKzq7brg31olLV+VDz5pqdTscYw/79+7F69WqEhIToTbDAGMP58+fBcdxz+xyrVCrweDwcPHgQUqkUI0aMgLW1dbWpu4wx3L59G4cPH0aHDh0wZswY9bE0vZcQQp6gPq/p4DgOtra2mDt3LubOnYvCwkKEhIRALBZj+PDhaNmypXrmas+ePWtdCxljePDgAdLT09GrVy/174o+MTIygrOzM5ydnVFZWYm8vDxIJBJcvHgRxsbG6pmrVlZW4DgOKaml+DakGQybaf9cOI4DZ+KIR2WO2BMLKCMeo4VlIaaNtkR7Dc9oOHr0KBYsWID9+/frTbBAfZ726FW4kJaWhoKCAgwbNgxWVlaorKwEx3Hg8XhYuHAhbG1tsXbtWixduhS2traYMWMGrTLcCHAcB3t7e8ybNw9vvfUWCgsLceTIEYjFYnz11Vdo06aNOunu0aPHv/6RMsaQnJyMgoIC9O3bt87Xu2lTVQHiOzoDl7T73HWdnNSyhQMWztTc9FTGGA4ePIjly5cjODgYw4cP19hj1xfHcZBIJDA1NYWlZfU0v2rL0Z9//hkAMG/ePADV/105jkNkZCQyMjIwdepUuLq6AgAVHEIIeQr1eU2XtbU1Zs2ahVmzZqGkpARhYWEQiUTw8vKCvb29ejHIvn371qjPu3PnDrKystCnTx+Ym5tr6SzqztDQEE5OTnBycoJSqUR+fj5ycnJw5coV8Hg8lKtsEXKji06ChRfhmdght0QKRzvNLE5Z5dixY5g7dy727NmDiRMnavSx64P6PO3Rq3Ch6sXOz38yhbtqSlxVKjR58mQolUq8//77mDt3Lrp27YrevXvrbLyk9jiOg42NDWbPno3Zs2ejuLgYR48ehVgsxpgxY8Dn89WXTvTu3fu5P1qVSoXExESUlpaiT58+MDHR3UI1daGTi5DqsKCjs5MDftsxE0aGPI0NQywW44MPPsDff/+N0aNHa+xxNUUqlaK8vFw9DU4ul8PIyAgcxyE4OBiXLl3CkCFDMGjQIAD/K0bAk/esP//8Ew4ODhg3bhwASrMJIeRZ1Oe9GiwsLPDGG2/gjTfeQHl5OSIiIiASieDv7w8LCwv4+vpCKBRiwIAB1Wop8OQDXUpKCvLy8tCnTx+9nJn6b3g8HhwcHODg4ACVSoVzVzMRctoJhs0a9lKEWqnIwGfzLdHcVHMfBaOjozFr1ix8//33mDJlisYeV1Ooz9MOnf+LPJ0K2dnZwdjYGDt37kRKSor65wYGBlD9/9TuqVOnYsWKFaisrMTXX3+NsrIyrY+ZaI6lpSWmT5+OwMBA5OTkYPv27cjOzoavry/c3NywcuVKnDlzBkqlEiUlJXjnnXeQn5/fKIMFANBFtqBitbssooWjPfZ/PRPGRporOEeOHMGiRYvw+++/Y8IEzS8QqQk+Pj4AgNjYWACAsbExOI7DtWvXsGHDBpiZmWH58uUAUG0VYQA4f/48zp49i+HDh2PAgAEAKM0mhBCA+rxXnZmZGSZOnIjff/8d2dnZ2L17N6RSKaZOnYrOnTvjgw8+QGxsLBQKBSoqKvDee+8hNTVVby95ra3rd0rx+5kW+hcszDPXaLAQFxeHadOm4ZtvvsHMmTP1crYR9XnaoXcLOi5ZsgS7d+/GypUrsWzZMjg4/G9116cTomHDhuHhw4e4ePHic1sPksZPKpXi+PHjEIlEOHr0KIyNjaFUKmFhYYHo6Gjw+XxdD7FOKhTAil+1u1vE1ehtUClkNbqvk6Mdfv/mTY0GC2FhYZg9ezb27duHSZMmaexxNa2kpARvvPEGzp49ixUrVqBnz54oLy/Hxx9/jNTUVGzZsgXLly9/bpExmUyGhQsX4s8//8SPP/6IOXPm0DReQgh5CerzCPDkW+OYmBiIRCIEBwdDpVLB2NgYjDFERkaiffv2uh5ivV2+WYg9JyxhaKxHl3VUZGDzW+awaG6ksYc8e/Ys/P39sW3bNixatEhv+x/q87RDZ+FCSEgI7ty5g5KSEvTr1w8eHh5wdnZGeno6Jk2ahFu3bmHTpk2YNWtWtdVh5XI5jI2NsWLFCnzxxReIjo7Wq2u3ieZlZWVh+PDhKCkpQUVFBXg8Hnx8fODv74+hQ4fCyEhzb5ANTSYHVu7VcrgQFQCVUv6v93Pk2+H3r99Es2aaCxaioqIwffp0/PTTT5g2bZrGHrehXLp0CStWrEBsbCyMjIygUCjg5OSE5cuXY9myZdXuW1VYbty4gWHDhsHV1RV//PEH2rZtS0WHEPLKoz6P1FRRURFGjRqF9PR0GBgYoKKiAt7e3hAKhRg5cmSjnKl6MakQe2OsYGisR7MvZJnYPK+5RoOFixcvQiAQYOPGjXjvvff0vvehPq/h6WTNhSlTpuDIkSOQy//3gWfAgAGYP38+5s6di08//RRLlizBhg0boFAoMG3aNPVKrMbGxgCAwsJCODk5wcXFRRenQLQkOzsbY8eOhZubG/78808YGBjg5MmTCAwMxIIFC6BQKNQFaMSIEWjWTLML02iaLqK8muSHfAdbjQcLJ0+exIwZM7B7925MnTpVY4/bkPr06YPo6GjcuHEDsbGxaNWqFXr27Im2bduq71NVUDiOg0qlQnBwMAoLCzFu3Dj1/ajgEEJeZdTnkZoqKiqCt7c3LCwscO/ePZiZmeH06dMQiURYtmwZioqKMH78eAgEAowdOxZmZtr9gqYuzt0owIFT1noVLDBZFja9ZabRYOHKlSsQCoVYs2ZNowgWAOrztEHrMxfmzp2LwMBALFmyBHPnzkVqairi4uIQEBAAlUqFtWvX4tNPP0VQUBBWrlyJzMxMTJ8+HYsXL4aHhwcAIDQ0FEuWLEH79u0hEoleuA8paRry8vLw9ddfY8OGDc9NU1IqlYiLi4NIJEJQUBBKS0vh5eUFoVCI0aNH6+UuEopKhq8PlSA93xQGRtpZMfjK8U1g/7DugoO9DX7/5k2Ymhhr7DlPnz6N119/HV999RXmzZvX6N+Eq6bqqlQqxMfHIyMjA0OHDoWZmRlGjBiBoqIiHDhwAIMGDaIFfgghrzTq80htlJaW4rPPPsO6deue69tUKhUuXLiAwMBABAUFIScnB2PGjIFQKMT48eNhYWGho1H/s+9EWUjKsADPRD8u4X0SLJjCylxzfd6NGzcwYcIEfPTRR/jkk0+ozyNqWg0XkpOTMWTIEPj6+mLHjh3VpsHFxsZiypQpyMvLw4oVK7B161bExsZi06ZNiImJQfPmzSEQCFBYWIhr165BKpUiLi5OvRUIebUplUqcO3dOHTTk5eVh3LhxEAgEGDdunF5uY3T9bhkiL1Ug7XFzcEY2/35AHSUc24iXLSVpb2eDP3ZqNlg4f/48hEIhtmzZgnfffbfRF5yn5eXl4b333sNff/2FwYMHo3Xr1jh48CDmzJmDX375BQCtHkwIeXVRn0caikqlwpUrVxAYGAixWIz09HSMHj0aAoEAEyZMgJWVld71GymppQg7W4wHuebgmvHBcdrvDZgsCxvnmMLaUnN9XnJyMiZMmIB33nkHGzZs0Lt/9/qgPq/+tBouREREYMKECQgMDMTEiRPV19VVvUiXLl3CpEmTkJ6ejs8++wyffPIJ5HI5tm/fjsOHDyMxMRF8Ph+enp7Ytm0bunTpoq2hk0ZEpVLh8uXL6qT70aNHGDNmjLoAPbu/rT64nS5FxHkp7ktMoTK00WgBSjj26Qt/bmdrjT92zoaZqeYKzuXLl+Hn54f169fjgw8+aFIFp0pubi4+//xz7Nu3D7m5uQCAMWPGYPny5fDw8Gi0i40SQkh9UZ9HtIExhsTERHXQcPv2bYwYMQJCoRDe3t6wtbXVu/7jQWY5Qk8X4U62KZiRIzgDzW31/TIqWTY2zjGBjQaDhdu3b8PLywuzZ89GQECA3v07awL1efWj1XAhLi4Ow4YNw8qVKxEQEFDttqrrWy5evIhRo0ZBoVDgwIEDeP311wEAZWVlKCoqgq2tLRhjejnlnegflUqF69evq4OGe/fuYdSoUfDz84OPjw+sra317o0xPUuG0HPluJ1lAqWBLbh6pKOMqXDl+Kbnfm5tZYEftryOFo72Gjv/a9euwdvbG6tWrcLHH3+sd/+uDSEoKAhfffUVTp8+DVNTUwwaNAg7d+5E165ddT00QgjROurziLYxxnDr1i2IRCKIRCIkJiZiyJAhEAqF8PX1hYODg971I5m5UhyNL0Tyo2ZQGjnBwEDzS+BVlmfiI/8KuLR20Ni37Pfu3YOXlxemTJmCL7744pX49p76vNrTariQmZmJHj16oE2bNti/fz+6d+9e7faqZPvIkSN4/fXXMWPGDOzduxcAaFVOUm+MMSQnJ6uDhuTkZAwbNgxCoRA+Pj6wt9fcB21NycqTI+xcKZIfGkPB2dU66WYqJa5Ebq72M2srS6xb/BpKi/PB4/HA5/PB5/NhbW1d50KRlJQELy8vfPDBB1izZo3e/Ts2tJSUFHz55ZeIi4tDQkJCo1hwihBCNI36PKJLjDHcu3cPIpEIYrEYCQkJGDBgAIRCIfz8/NCiRQu9+x3LK6zA0fgC3Eg1hJznBANe/WcZKKXZmDHoIeRleWCMwcHBAXw+H3Z2dnXu81JTU+Hl5QVfX1/s3LnzlQgWnkZ9Xs1pfUHHzZs3Y926dVi2bBm2bNmiXhW4CmMMMpkMU6ZMQUREBBITE2laHNE4xhju3LmjDhquXr2KQYMGqQuQo6Oj3hWgx4VyHIqS4GaGCVTGLWDA+/cVf1WqSlyN/Ez93zbWVvjj29kwN2sGlUqFgoICSCQSSCSSOheglJQUeHl54e2338bGjRv17t9Nm55eEOhVK7yEEAJQn0f0A2MM6enp6qDh3Llz6NevH/z8/CAUCtG6dWu961eKSuX4+3gGrj/ggZm6gGdY+y04VbIcrH/TGPbWzcAYQ2FhobrPq6yshL29Pfh8Puzt7cHj1ewLq4yMDIwdOxZjx47Fd99990r3N9Tn/TuthwvZ2dl4/fXXcfbsWWzduhUrVqyodntVch0QEID//Oc/iIuLw6BBg7Q5RPKKYYwhNTVVXYAuXLiA1157DQKBAAKBAC1bttSLApSRkYFbt27B09MTPGMLhJ8txZX7BihT2r406VYpFbgatQXAkxkLf+ycDQvz54sVYwxFRUXIycmBRCKBQqGoFjQ8u1NHlTt37sDLywszZ87E1q1b6Y2WEEJecdTnEX3DGENmZibEYjHEYjHi4+Ph4eEBoVAIgUCA9u3b60WfJ5FIcOPGDfTo0QPmlrYIO5OPS7cZSpWO4Bn9+zflSpkE62cZwcHm+W3ZGWMoKSmBRCJBTk4OZDJZtaDByOjFX1hlZWVh/PjxGDx4MH7++ecaBxLk1aX1cAF4shjI+PHjkZqais2bN2PJkiXPLbL34YcfYu/evThz5gy6deum7SE2CJryp/8YY3j06JG6AJ0+fRq9e/dWBw0uLi46eQ0fPXqE27dvw9PTs9rq2wAglSkRcb4El+5wKJbbwOCppFtZKce1EwGwtrLEgW9mw8ri31PwpwuQRCKBVCqFnZ0d+Hw+HBwc1AXowYMHGD9+vHrLSQoWCCGEANTnEf3FGENOTg6Cg4MhFosRGxsLV1dXddDQpUsXnbyGTwcLzy4YKFeocOzcY5y7qUKh3AGGxs/vgKaUSbBuphH4ts8HC89ijKGsrEzd55WWlsLW1lZ9mWzVbCOJRAIvLy/06tUL+/bte+kXTYQ8TSfhAgDcvHkTAoEAd+/exVtvvYUZM2ZgxIgRAICwsDB8+OGHcHJywpEjR5rE/sbPrphM9B9jDNnZ2QgKCoJIJMKpU6fQo0cPddDQqVMnrRSgfwoWnqVQqBB5qQTnbjLky2wAGCD14i78vnNOjYKFFyktLVUXoMjISJw4cQKDBw/GoUOH4Ovri//+97/0O00IIaQa6vOIvmOMIT8/H4cPH4ZIJEJUVBQ6duwIgUAAoVCIbt26aeW1/Kdg4VlKJUP0pceIv6FAntQehs2soJTlYu0MHhzt6tbnlZeXq/u8c+fO4a+//sLw4cMRFhYGd3d3/PHHHy+d2UDIs3QWLgBPVh398MMPERERATMzMwwcOBCMMVy7dg2VlZU4efJkk0izFy5cCHNzc2zatAlmZmZUeBohxhjy8vLUBSg6OhqdO3dWFyBXV9cGCRpqEyw8S6lkOJlQiF5dTGBtqZlVt+/fv4/du3fjl19+gUKhwODBgzFx4kRMnDgRbdq00chzEEIIaRqozyONRdXloSEhIRCJRDh+/DhatWql7vM8PDwa5DXNyclBYmJijYKFF405/moBOrY2Qwv7ugULz3r06BF++ukn7Nq1CzKZDH369MHrr7+OiRMnolOnThp5DtK06TRcAIDCwkKEhobiiy++QGZmJiwsLNC7d29s3LixSSzwM3PmTPzxxx9wdnbGokWL8NFHH8HU1JQKTyNWtUDO4cOHIRaLcfz4cbi4uEAgEMDf3x/du3fXyGtbn2ChoWRnZ8PLywuvvfYaNm/ejKNHj0IkEuHkyZO4ceMGbc1DCCGkGurzSGNUUlKC0NBQiEQihIeHw8HBAX5+fvD390efPn008tpWBQvu7u5wcHDQwKjrr6ioCL6+vnB0dMSPP/6IY8eOQSwWIzIyEpGRkRg6dKiuh0j0nM7DhSpSqRQVFRUwNDSEsbHxc6sLN0Y//PAD3n33XXh6eiI3Nxd5eXlYtWoVli9fToWnCSkqKsLRo0chFosREREBJycnddLdq1evOr3G+hgs5ObmYsKECXB3d8f+/furXXuXn58PGxsbutaUEELIC1GfRxqrsrIyREREQCQSITQ0FFZWVvD19YVQKMRrr71Wp0UO9TFYKCkpgUAggIWFBUJCQmBi8r/ZEMXFxTA1NaXLI8i/0ptwoam5desWZsyYgZs3b+Ly5csoKyvDpEmTkJeXhxUrVlDhaaJKS0sRHh4OkUiEsLAw2NjYqLc96tevX40KkD4GC48fP4a3tzc6deqEgwcPUnEhhBDySqM+79UklUoRGRkJsViMI0eOoFmzZvD19YW/vz8GDRpUo0UP9TFYKCsrw8SJE8Hj8RAaGormzZvrekikkaJ3uwYik8lgaWmJH3/8EV27doWHhwd++eUXODg4YPv27fjiiy8glUrVe6WSpsHc3ByTJ0/GwYMHkZ2djW+++QaFhYWYNGkSunbtimXLluHUqVOorKx84fH6GCwUFhaqd8r4888/KVgghBDyyqM+79VkamoKPz8/7N27F9nZ2fj111/BGMObb76JDh06YPHixYiMjIRcLn/h8foYLEilUkyZMgWMMYSEhFCwQOqFZi5o2NPbEKWkpKBly5awsLBQ3xYbG4t58+YhNze3WrKtUCiqfWij7YyaFplMhhMnTkAsFuPw4cPg8Xjw8fGBv78/hgwZAiMjI+zcuRPW1tbw8/PTm5Wzi4uL4efnBzs7OwQFBVWbIkcIIYS8aqjPIy9SWVmJU6dO4dChQwgODoZMJoOPjw8EAgFGjhwJExMT/Pbbb+oZLvoSLMhkMkydOhXFxcU4duwYrKysdD0k0shRuKBlLyo8S5cuhbn5kz1rRSIROnTogJ49e+p2oKTBKBQKxMbGQiQSITg4GAqFAi4uLkhKSsKBAwcwYcIEXQ8RwJNLPIRCIczMzBASEgJTU83sOEEIIYQ0VdTnEaVSidOnTyMwMBDBwcEoKiqCq6srEhISsHPnTrz55pu6HiIAoKKiAjNnzkROTg4iIyP1ZsYsadwoXNCQkJAQ3LlzByUlJejXrx969+6t3lJGqVRWu9b+2cKzevVqLFu2DEFBQViyZAlatmyJ8+fPo1mzZpRqN3GVlZX4+OOPsXv3blhaWkKhUGDChAkQCoUYNWqUzj7Ql5WV4fXXXwfHcQgNDVU3RYQQQsiriPo8UhcqlQoBAQH49NNPYW1tjfLycowdOxZCoRDjx4/XWX+lUCjw5ptvIjU1FdHR0bCzs9PJOEjTQ+GCBkyZMgVHjhypdn3VwIEDMXfuXMybNw/AiwvPiRMnsHDhQkgkEowfPx5xcXGoqKjAqVOn0KNHD62fB9G+7777DqtWrUJ4eDj69++Ps2fPQiQSISgoCI8fP8b48eMhEAgwbtw4rV0DV3XtnUwmQ0REhHq6p66lpqYiKSkJFhYWtBUSIYQQraE+j9RVYGAgZs+ejb///hteXl5ISEhAYGAgxGIxHj16hFGjRkEoFGLChAmwtLTUSthUWVmJt956CykpKYiOjlaHZLpGfV7TQOFCPc2dOxeBgYFYsmQJ5s6di9TUVMTFxSEgIAAqlQorVqzA1q1bATxfeADg5MmTmDZtGrKzs2FtbY1Tp06he/fuujgVomWMMbz33nuYPn06Bg4cWO02lUqFS5cuITAwEEFBQcjMzMSYMWMgEAjg5eUFS0vLBhlTRUUFpk2bhoKCAhw/flwvrr3Lzc3Fpk2bsGvXLgAAj8dDixYtsGbNGsyZM4cWmCSEENJgqM8j9bF27Vq89tpr8Pb2rvZzlUqFxMREddBw584djBw5EgKBAD4+Pg22vbdSqcSiRYuQkJCAmJgYODk5afw5aov6vKaFwoV6SE5OxpAhQ+Dr64sdO3ZUu1YpNjYWU6ZMQV5eHt5//318/fXXAJ68mXAcp37D2Lt3L95//30YGRkhPj4erq6uujgVosdUKhWuXbumDhru37+PUaNGQSAQwNvbG9bW1hopQHK5HLNmzUJGRgaioqJga2urgdHXT35+PhYsWICgoCB4e3vD398fMpkMhw4dwuXLl7Fnzx5MmjRJ18MkhBDSBFGfR7SBMYaUlBR10JCUlIShQ4dCIBDA19cXDg4OGunzlEol3nvvPZw+fRqxsbFo2bKlBkZfP9TnNUGM1Fl4eDjjOI6JRCLGGGMVFRWMMcaUSiVjjLGLFy+ytm3bMo7j2Pr16587ft++fczKyorZ2tqyxMRErY2bNF4qlYolJiayDRs2MHd3d2ZkZMTGjBnDdu3axdLS0lhpaSkrKyur9f8KCwuZv78/69GjB8vNzdX1aTLGnpzrJ598wgwMDNjs2bNZTk6O+rYHDx6w1q1bs/79++vNeAkhhDQt1OcRbVOpVOzOnTssICCA9e3blxkaGrKhQ4eyL7/8kt25c6fOfV5JSQmbP38+c3FxYampqbo+TcYY9XlNlYGuw43GrOoa+IsXLwIAjI2NAQAGBgZgjKFPnz44dOgQzM3NsX37dojFYvWxpaWlePToEYyNjRETEwM3NzftnwBpdDiOg5ubG9avX4+rV68iMTERw4cPx549e9ChQwf4+Pjgp59+QnZ2NlgNJyVVVlZi4cKFSElJQWRkJOzt7Rv4LGrm/v37+PHHH+Hh4YEVK1aAz+ejsrISAODi4oKRI0fiwoULyMrKAvAkka9SVFSE7OxsnYybEEJI00B9HtE2juPQsWNHrFq1CufPn8edO3fg5+cHsViMrl27YsyYMfj222+Rnp5e4z5PpVJh5cqVOHbsGKKiotC2bdsGPouaoT6vaaJwoR46dOgAGxsbREREIDExsdptHMdBpVKhb9++OHDgABQKBY4cOaK+3dzcHDNmzMCNGzfg7u6u7aGTJoDjOHTu3BmrV6/GxYsXcevWLUyYMAEHDx5E586dMX78eOzevRuPHj16aQFSKpVYvHgxEhIScOLECTg6Omr5LF5u9+7dyM/PxzvvvINu3boBAAwNDdW3t2vXDsbGxupCxOPxcP/+fUydOhWDBw9G3759MXTo0Gp/d4QQQkhNUZ9HdInjOLi4uOCjjz5CXFwcUlNTMXXqVISHh6NHjx4YPnw4duzYgfv377+0z1OpVFi7di2Cg4MRFRWFDh06aPksXo76vCZKl9MmmoJNmzYxjuPYRx99pJ4u9zSVSsXKy8uZj48PMzQ0ZCkpKToYJXmVqFQqlpaWxnbs2MGGDBnCeDwe69+/P9uyZQtLSkpST6krKSlhc+fOZR06dGDp6em6HnY1RUVFrFWrVqx169YsLy+v2m2VlZWMMcZ8fX2ZmZkZi4mJYYwxFhUVxdq0acMMDAzYkCFD2MyZM1mfPn2YiYkJ27hxo7ZPgRBCSBNAfR7RNyqVimVlZbHdu3ez0aNHM0NDQ+bh4cHWr1/PEhIS1H1eaWkpW7lyJXN0dGRJSUm6HnY11Oc1XRQu1FNWVhYbOHAg4ziObdu27bnbVSoVY4yxLVu2MI7jWHx8vLaHSF5hKpWKZWRksP/+979s5MiRzNDQkPXq1Ytt2LCBTZ06lbVt25Y9ePBA18N8TlhYGOM4ji1durTaz6v+noqKipiZmRlr27YtKy4uZpmZmczd3Z1xHMd27dqlvn9ycjIbMWIEc3BwYOfOndPqORBCCGn8qM8j+kylUrHc3Fz2888/My8vL2ZsbMzc3NzY6tWr2cKFC5m9vT27fv26rof5HOrzmi66LKKenJyc8Ouvv8LFxQWrVq3Cli1bUFxcrL69anXXnJwcWFpaVltpuCl5+joooj84joOzszMWL16MqKgoZGZmYuHChYiIiEBgYCAiIyPh4uKi62FWwxjD+fPnwXHcc/scq1QqAMDBgwchlUoxfvx4WFhYYMeOHUhMTMT777+Pd999V31/V1dXfPDBB8jLy0NsbKz68QkhhJCaoD7vCerz9BPHcbC3t8e8efMQGhqKnJwcrFixAufPn8dPP/2Eo0ePokePHroeZjXU5zVtFC5oQOfOnREaGoqOHTtizZo1WLZsGWJiYtS3h4WFISwsDO7u7nB2dtbhSBtOWVlZtf+mIqR/OI6Dg4MD3n77bZw5cwZ5eXno1KmTrof1HI7jIJFIYGpqCktLy2q3Ve0f/vPPPwMAFi5ciKSkJPz999/o2bMnZs2aBeBJYakqLj179gQASCQSKJXKBtk3mhBCSNNFfR71eY0Bx3GwtrbGm2++iaioKOTn56N///66HtZzqM9r2gz//S6kJlxdXREeHo4PP/wQ+/btw6FDhzBw4EAwxnDt2jVUVlYiODgY1tbWuh6qRn322Wc4e/Ysrl27hsGDB6NPnz5YtmyZ+s2B6CeO42BlZaXrYbyUVCpFeXm5+u9FLpfDyMgIHMchODgYly5dwvDhw+Hp6YnNmzcjPT0db7/9tno17qqFtjiOw/Xr19WPSb+XhBBC6oL6POrzGhvq84gu0MwFDerQoQP279+PvXv3on379khISMDdu3cxdOhQxMfHq1dCbSoEAgE2bdqEe/fuoWXLlggNDcXHH3+MoUOHIiEhAQqFQtdDJI2Uj48PAKinuBkbG4PjOFy7dg0bNmyAiYkJVqxYAblcjpiYGLRo0QJDhgyBiYmJ+jEMDJ68vZ06dQoAMGzYMAD/m3JHCCGE1Ab1edTnEc2gPq8J09ViD01deXk5KygoYCUlJS9cXbixW716NTM2NmZbtmxhBQUFjDHGUlNT2bRp05iRkRHr3LkzO3z4MJPJZLodKGmUiouLmZeXF7O2tmZbtmxhYWFhLDAwkLVr145xHMcCAgKYQqFg6enpjM/nswkTJrCMjAzG2JPFgKoWBHr48CEbOHAgs7KyYmlpabo8JUIIIU0I9XnU55G6oz6v6aJwgdRaZWUlGzx4MOvduzcrLi5mjDF1Yc3Pz2dbt25lDg4OrF27diw0NFT9BkBIbVy8eJGNGDGCcRzHjI2NGcdxrEWLFuzLL79U3+fMmTOM4zg2Z86cascqlUrGGGP79u1jxsbGbNq0aUwul2t1/IQQQkhjRH0e0Qbq85omWnOB1IpKpYJEIsGVK1cwdOhQWFhYQC6Xw9jYGIwx2NjYYPHixTA1NcXGjRvx8ccfo1u3bnBxcYFSqaRroUiN9enTB9HR0bhx4wZiY2PRqlUr9OzZE23btlXfRyKRAIB6Aa2KigoYGRnBwMAAUqkUBw8ehEKhwOzZs2FkZKST8yCEEEIaC+rziLZQn9c0UbhAasXAwAAtWrRAr169cPPmTUilUpiamkKlUsHAwACMMZibm2Pu3LnIz8/Hxo0b8f777+PIkSNUcEid9OjRo9o2SuypLYYGDBgAIyMjJCcnAwCaNWumvu23335DREQERo8ejXHjxmlvwIQQQkgjRX0e0Tbq85oWWtCR1ApjDEqlEu7u7khLS8OaNWugUCjUBYfjODDGYGFhgSVLlmDIkCE4evQowsLCdD100kRUbTHEGAOfz8e8efMQHh6OrVu3IiUlBQqFAr/88guWL18OW1tbbN68WX1/QgghhLwc9XlE16jPa9w4Rq8EqYGqglIlJycHr732GkpKSrB9+3bMmTOnWuGpSrhPnDiBcePGYdu2bfjoo490eAakqUpJScGiRYsQHx+P9u3bQyaT4dGjR+jSpQsCAgIgFAp1PURCCCFEr1GfR/QV9XmNC81cIP/o6tWrUCgU1QqOUqmEo6MjvvzySzDGsH37dvz1119QKpXqglPFyckJHMfh4cOHuhg+eQV07doVsbGx+PPPP+Hu7o4BAwZg8+bNOHToEBUcQggh5B9Qn0f0HfV5jQutuUBeasKECUhPT8eOHTswcuRI9bV0Vf8/evRobNiwAWvXrsW6deuQn5+PBQsWwNjYWP0Y586dg7GxsfpaqmeTcUI0ZfLkyZg8eTJkMlm1fZAJIYQQ8jzq80hjQn1e40DhAnmhpUuXIiIiAgCwdu1acByHESNGgMfjqQuHpaUlZsyYAUNDQ6xbtw7Lli3D6dOnsWbNGlhaWiI2NhbffPMNnJyc1AutUMEhDc3ExISaG0IIIeQfUJ9HGivq8/QbrblAnhMYGIh58+ahTZs2GDt2LH766Sd06dIFW7ZsUSfbT/9RS6VSnD9/Hu+99x6SkpJgamoKHo8HpVIJOzs7hIWFoXv37jo+K0IIIYQQQn0eIaShULhAqpFKpZg8eTKioqJw+fJluLq6YtOmTfj888/h6ur60sIDAKWlpTh48CCuXbuG/Px8eHh44I033qi2Xy0hhBBCCNEN6vMIIQ2JwgXynAsXLiA+Ph7Lli0DAGRnZ+PHH3/E9u3bX1h4gCfX2BkY0PqghBBCCCH6jPo8QkhDoXCBvJBCoYCRkZH6v3NycvDDDz+8sPBUKS4uhqWlZbV9kOl6KEIIIYQQ/UJ9HiGkIVAESV6oquBUZU+Ojo5YuHAhVqxYgZs3b2L16tWIiopS3//AgQNYu3Yt7t+/ry40VHAIIYQQQvQP9XmEkIZAMxdIrTydbHfr1g0BAQFIS0vDihUrYGZmhrNnz6Jly5a6HiYhhBBCCKkl6vMIIfVB4QKptczMTOzduxdbtmyBs7MzsrOzwePxcOrUKfU+x02JSqWi6wwJIYQQ8kqgPo8QUlf0l0RqRalUwtnZGQsWLMD48eNx9+5dGBkZIT4+vskVnNjYWACAgYEBVCqVbgdDCCGEENLAqM8jhNQHhQukVqoW9jl27Bji4uJgbW2N+Ph4uLm56XhkmjVp0iR4e3vjwIEDAKjwEEIIIaTpoz6PEFIfhroeAGl8IiIisGrVKpSWluLChQtwdXXV9ZA0atmyZRCLxeA4DqtWrQKPx8O0adPUhYemzhFCCCGkqaI+j/o8QuqK/npIrXXt2hWenp64cOFCk0uyRSIRfv75Z/Tt2xebNm1CZmYmli5dij/++AMAJduEEEIIadqoz6M+j5C6opkLpNZcXFwgEolgbGys66FoVHFxMSIjI1FaWopvv/0W/fr1g62tLd59910sW7YMADB9+nRKtgkhhBDSZFGfR30eIXVF4QKpk6ZWcACgefPm6N+/PwYPHox+/fpBqVRi0aJFMDAwwKJFi15YeDiOU+/zzBijPZ8JIYQQ0uhRn0d9HiF1QVtREvIUpVIJuVwOU1PTaj//8ccfsWjRIvD5fHz11VeYPn36C4+npJsQQgghRD9Rn0dIw6K/DvLKezpf4/F4zxUcAHj77bfx/fffQyKRYNmyZerVhQHgv//9L6ZOnQoAVHAIIYQQQvQI9XmEaA/NXCCvrKtXr8LNzQ1GRkY1PqYq2XZ0dMSOHTvAcRyWL1+OjIwM3L9/Hy4uLg03YEIIIYQQUiPU5xGifRQukFfShAkTkJ6ejh07dmDkyJHqfZ1rYs+ePZg/fz5sbW1RXl4OExMTnDp1Ct27d2/AERNCCCGEkJqgPo8Q3aC5PeSVs3TpUkRERCA5ORlr165FTEwMlErlvx5XdZ+33noLc+bMQX5+PkxNTREXF0cFhxBCCCFED1CfR4juULhAXimBgYHYs2cP3NzcsHTpUiQnJ+OTTz5BdHT0vxaeqtT7119/RVRUFKysrBAfH9/k9oAmhBBCCGmMqM8jRLcoXCCvDKlUir1796KiogIHDx7E559/jo8++gg3b97E6tWra1R4YmNjsXjxYhQWFiIuLg6urq5aGj0hhBBCCHkZ6vMI0T0KF8grw9TUFOvWrcOWLVvg5uYGAwMDLFy4ECtWrHhp4Xl2SZLWrVtjypQpNEWOEEIIIUSPUJ9HiO7Rgo7klaNQKKqtHJyTk4MffvgB27dvh6urK7Zs2fLc4j8lJSWwsLAAYwwKhQLGxsa6GDohhBBCCPkH1OcRojs0c4G8cqoKTlWu5ujo+FyyHRUVpb7/gQMHsGbNGty9exccx1HBIYQQQgjRU9TnEaI7NHOBkP/3dLLdrVs3BAQEIC0tDStWrICZmRnOnj2Lli1b6nqYhBBCCCGklqjPI6ThUbhAyFMyMzOxd+9ebNmyBc7OzsjOzgaPx8OpU6fQo0cPXQ+PEEIIIYTUEfV5hDQsChcI+X9KpRI8Hg+5ubl45513IBaLYWNjg1OnTtE2RIQQQgghjRj1eYQ0PENdD4AQfVG1sM+xY8cQFxcHa2trxMfH0zZEhBBCCCGNHPV5hDQ8mrlAyFMiIiIwf/58FBQU4MKFC5RkE0IIIYQ0EdTnEdKwaLcIQp7StWtXeHp6UsEhhBBCCGliqM8jpGHRzAVCniGXy2kbIkIIIYSQJoj6PEIaDoULhBBCCCGEEEIIqRe6LIIQQgghhBBCCCH1QuECIYQQQgghhBBC6oXCBUIIIYQQQgghhNQLhQuEEEIIIYQQQgipFwoXCCGEEEIIIYQQUi8ULhBCCCGEEEIIIaReKFwghBBCCCGEEEJIvVC4QAghhBBCCCGEkHqhcIEQQgghhBBCCCH1QuECIYQQQgghhBBC6oXCBUIIIYQQQgghhNTL/wFCYPT2cZi++wAAAABJRU5ErkJggg==", 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" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_state_city\n", "plot_state_city(vectorEstado)" ] }, { "cell_type": "markdown", "id": "eb05c908-5127-49aa-a5e4-ddab4642247e", "metadata": {}, "source": [ "#### Backend de la matriz unitaria\n", "\n", "Obtengamos la matriz unitaria de esta composición" ] }, { "cell_type": "code", "execution_count": 32, "id": "908cf56e-37f8-40e0-bd16-cb5fa87e1c7c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Operator([[ 0.707+0.j, 0.707-0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0.707+0.j, -0.707+0.j],\n", " [ 0. +0.j, 0. +0.j, 0.707+0.j, 0.707-0.j],\n", " [ 0.707+0.j, -0.707+0.j, 0. +0.j, 0. +0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))\n" ] } ], "source": [ "\n", "\n", "backend = Aer.get_backend('unitary_simulator')\n", "job = backend.run(circ)\n", "result = job.result()\n", "print(result.get_unitary(circ, decimals=3))" ] }, { "cell_type": "markdown", "id": "a0b26cf5-7b40-41dc-a49b-141abda2b899", "metadata": {}, "source": [ "#### Backend OpenQASM\n", "\n", "Obtengamos ahora los resultados de medir las proyecciones sobre los elementos de la base. Para conseguir esta información, debemos añadir alguna instrucción al código anterior, para al final poder hacer una medición del circuito." ] }, { "cell_type": "code", "execution_count": 33, "id": "c66682a3-5793-4c23-a4c4-25ee0ce82659", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ = QuantumCircuit(2,2)\n", "circ.h(0)\n", "circ.cx(0,1)\n", "circ.measure(range(2),range(2))\n", "\n", "circ.draw('mpl')" ] }, { "cell_type": "code", "execution_count": 34, "id": "212771c0-01ae-40e1-82df-4b554379defb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'11': 503, '00': 521}\n" ] } ], "source": [ "backend_sim = Aer.get_backend('qasm_simulator')\n", "job_sim = backend_sim.run(transpile(circ, backend_sim), shots=1024)\n", "result_sim = job_sim.result()\n", "counts = result_sim.get_counts(circ)\n", "print(counts)" ] }, { "cell_type": "code", "execution_count": 35, "id": "73fb1048-4b53-4bda-ab1e-734f957c17dd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_histogram\n", "plot_histogram(counts)" ] }, { "cell_type": "markdown", "id": "c4712e22-8ca0-43cc-99d8-b0d2c0eba1e9", "metadata": {}, "source": [ "También se puede utilizar *AerSimulator* del paquete Aer para conseguir esta información" ] }, { "cell_type": "code", "execution_count": 36, "id": "3b54490d-282c-4756-9c1a-4329b5360974", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'11': 510, '00': 514}\n" ] } ], "source": [ "from qiskit.providers.aer import AerSimulator\n", "backend = AerSimulator()\n", "\n", "qc_compiled = transpile(circ, backend)\n", "\n", "job_sim = backend.run(qc_compiled, shots=1024)\n", "result_sim = job_sim.result()\n", "\n", "counts = result_sim.get_counts(qc_compiled)\n", "print(counts)\n", "\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "411f9e9c-e018-4607-9842-24e44e2235c5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_histogram\n", "plot_histogram(counts)" ] }, { "cell_type": "markdown", "id": "3e5f7e67", "metadata": {}, "source": [ "## Circuito para sumar\n", "\n", "A modo de introducción y con la finalidad de que el lector pueda ver una aplicación práctica de estos circuitos cuánticos, a continuación mostramos un código que sirve para obtener simples sumas. \n", "\n", "No es necesario que el lector conozca con detalle lo que se hace en el código anterior, simplemente se expone para que se pueda ver circuitos más complejos en funcionamiento." ] }, { "cell_type": "code", "execution_count": 38, "id": "9633af19", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
     ┌───┐ ░                 ░       \n",
       "q_0: ┤ X ├─░───■─────────■───░───────\n",
       "     ├───┤ ░   │         │   ░       \n",
       "q_1: ┤ X ├─░───┼────■────■───░───────\n",
       "     └───┘ ░ ┌─┴─┐┌─┴─┐  │   ░ ┌─┐   \n",
       "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n",
       "           ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n",
       "           ░           └───┘ ░  ║ └╥┘\n",
       "c: 2/═══════════════════════════╩══╩═\n",
       "                                0  1
" ], "text/plain": [ " ┌───┐ ░ ░ \n", "q_0: ┤ X ├─░───■─────────■───░───────\n", " ├───┤ ░ │ │ ░ \n", "q_1: ┤ X ├─░───┼────■────■───░───────\n", " └───┘ ░ ┌─┴─┐┌─┴─┐ │ ░ ┌─┐ \n", "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n", " ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n", "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n", " ░ └───┘ ░ ║ └╥┘\n", "c: 2/═══════════════════════════╩══╩═\n", " 0 1 " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# suma de 1+1 en base 2 que es 10 en base dos que es 2 en decimal\n", "qc_ha = QuantumCircuit(4,2)\n", "# encode inputs in qubits 0 and 1\n", "qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n", "qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n", "qc_ha.barrier()\n", "# use cnots to write the XOR of the inputs on qubit 2\n", "qc_ha.cx(0,2)\n", "qc_ha.cx(1,2)\n", "# use ccx to write the AND of the inputs on qubit 3\n", "qc_ha.ccx(0,1,3)\n", "qc_ha.barrier()\n", "# extract outputs\n", "qc_ha.measure(2,0) # extract XOR value\n", "qc_ha.measure(3,1) # extract AND value\n", "\n", "qc_ha.draw()" ] }, { "cell_type": "code", "execution_count": 39, "id": "10fbbf4c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
           ░                 ░       \n",
       "q_0: ──────░───■─────────■───░───────\n",
       "     ┌───┐ ░   │         │   ░       \n",
       "q_1: ┤ X ├─░───┼────■────■───░───────\n",
       "     └───┘ ░ ┌─┴─┐┌─┴─┐  │   ░ ┌─┐   \n",
       "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n",
       "           ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n",
       "           ░           └───┘ ░  ║ └╥┘\n",
       "c: 2/═══════════════════════════╩══╩═\n",
       "                                0  1
" ], "text/plain": [ " ░ ░ \n", "q_0: ──────░───■─────────■───░───────\n", " ┌───┐ ░ │ │ ░ \n", "q_1: ┤ X ├─░───┼────■────■───░───────\n", " └───┘ ░ ┌─┴─┐┌─┴─┐ │ ░ ┌─┐ \n", "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n", " ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n", "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n", " ░ └───┘ ░ ║ └╥┘\n", "c: 2/═══════════════════════════╩══╩═\n", " 0 1 " ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# suma de 0+1 en base 2 que es 1 o 01\n", "qc_ha = QuantumCircuit(4,2)\n", "# encode inputs in qubits 0 and 1\n", "#qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n", "qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n", "qc_ha.barrier()\n", "# use cnots to write the XOR of the inputs on qubit 2\n", "qc_ha.cx(0,2)\n", "qc_ha.cx(1,2)\n", "# use ccx to write the AND of the inputs on qubit 3\n", "qc_ha.ccx(0,1,3)\n", "qc_ha.barrier()\n", "# extract outputs\n", "qc_ha.measure(2,0) # extract XOR value\n", "qc_ha.measure(3,1) # extract AND value\n", "\n", "qc_ha.draw()" ] }, { "cell_type": "code", "execution_count": 40, "id": "47ad49b2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#qobj = assemble(qc_ha)\n", "sim = Aer.get_backend('aer_simulator') \n", "counts = sim.run(qc_ha).result().get_counts()\n", "#counts = sim.run(qobj).result().get_counts()\n", "plot_histogram(counts)" ] }, { "cell_type": "code", "execution_count": 41, "id": "77657528", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
     ┌───┐ ░                 ░       \n",
       "q_0: ┤ X ├─░───■─────────■───░───────\n",
       "     └───┘ ░   │         │   ░       \n",
       "q_1: ──────░───┼────■────■───░───────\n",
       "           ░ ┌─┴─┐┌─┴─┐  │   ░ ┌─┐   \n",
       "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n",
       "           ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n",
       "           ░           └───┘ ░  ║ └╥┘\n",
       "c: 2/═══════════════════════════╩══╩═\n",
       "                                0  1
" ], "text/plain": [ " ┌───┐ ░ ░ \n", "q_0: ┤ X ├─░───■─────────■───░───────\n", " └───┘ ░ │ │ ░ \n", "q_1: ──────░───┼────■────■───░───────\n", " ░ ┌─┴─┐┌─┴─┐ │ ░ ┌─┐ \n", "q_2: ──────░─┤ X ├┤ X ├──┼───░─┤M├───\n", " ░ └───┘└───┘┌─┴─┐ ░ └╥┘┌─┐\n", "q_3: ──────░───────────┤ X ├─░──╫─┤M├\n", " ░ └───┘ ░ ║ └╥┘\n", "c: 2/═══════════════════════════╩══╩═\n", " 0 1 " ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# suma de 1+0 en base 2 que es 1 \n", "qc_ha = QuantumCircuit(4,2)\n", "# encode inputs in qubits 0 and 1\n", "qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n", "#qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n", "qc_ha.barrier()\n", "# use cnots to write the XOR of the inputs on qubit 2\n", "qc_ha.cx(0,2)\n", "qc_ha.cx(1,2)\n", "# use ccx to write the AND of the inputs on qubit 3\n", "qc_ha.ccx(0,1,3)\n", "qc_ha.barrier()\n", "# extract outputs\n", "qc_ha.measure(2,0) # extract XOR value\n", "qc_ha.measure(3,1) # extract AND value\n", "\n", "qc_ha.draw()" ] }, { "cell_type": "code", "execution_count": 42, "id": "464ea8f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#qobj = assemble(qc_ha)\n", "sim = Aer.get_backend('aer_simulator') \n", "#counts = sim.run(qobj).result().get_counts()\n", "counts = sim.run(qc_ha).result().get_counts()\n", "plot_histogram(counts)" ] }, { "cell_type": "code", "execution_count": null, "id": "0ed7dc33", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }