ML-para-Data-Science/Notebooks/Clase3.ipynb

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   "source": [
    "#  Introducción a Matplotlib"
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   "source": [
    "<center>\n",
    "<img src=\"https://upload.wikimedia.org/wikipedia/en/thumb/5/56/Matplotlib_logo.svg/1280px-Matplotlib_logo.svg.png\" height = \"30%\" width = \"60%\">"
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   "source": [
    "## **Matplotlib**\n",
    "-----\n",
    "Librería que permite visualizar datos mediante gráficos, histogramas, espectros de potencia, gráficos de barras, gráficos de error, gráficos de dispersión, etc...\n",
    "<center>\n",
    "<img src=\"https://matplotlib.org/stable/_images/anatomy.png\" height = \"20%\" width = \"50%\">"
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   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
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  {
   "source": [
    "### Gráfico Lineal: Plot"
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def f(x):\n",
    "    return np.exp(-x)\n",
    "x = np.linspace(-1, 5, num=10)\n",
    "plt.plot(x, f(x), 'sg')# - 'gs' - 'go-' - 'rs' - 'r^' - 'g--'\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "t = np.arange(0., 5., 0.2)\n",
    "plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Estilo Orientado a objetos y Pyplot"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "**Orientado a objetos:**"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x27acc6a8048>"
      ]
     },
     "metadata": {},
     "execution_count": 4
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 100)\n",
    "\n",
    "fig, ax = plt.subplots()  # Crea una figure y un axes.\n",
    "ax.plot(x, x, label='linear')\n",
    "ax.plot(x, x**2, label='quadratic')\n",
    "ax.plot(x, x**3, label='cubic')\n",
    "ax.set_xlabel('x label')\n",
    "ax.set_ylabel('y label')\n",
    "ax.set_title(\"Simple Plot\")\n",
    "ax.grid()\n",
    "ax.legend()"
   ]
  },
  {
   "source": [
    "**Pyplot:**"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 100)\n",
    "\n",
    "plt.plot(x, x, label='linear')  # Plotea data implicita en el axes.\n",
    "plt.plot(x, x**2, label='quadratic')\n",
    "plt.plot(x, x**3, label='cubic')\n",
    "plt.xlabel('x label')\n",
    "plt.ylabel('y label')\n",
    "plt.title(\"Simple Plot\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Interactivo y No Interactivo"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "**Interactivo:** plt.ion(), plt.draw()"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.ion()\n",
    "for i in range(3):\n",
    "    plt.plot(np.random.rand(10))\n",
    "    plt.draw()"
   ]
  },
  {
   "source": [
    "**No Interactivo:** plt.ioff(), plt.show()"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.ioff()\n",
    "for i in range(3):\n",
    "    plt.plot(np.random.rand(10))\n",
    "    plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico de Barras: Bar y Barh"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "labels = ['G1', 'G2', 'G3', 'G4', 'G5']\n",
    "men_means = [20, 34, 30, 35, 27]\n",
    "women_means = [25, 32, 34, 20, 25]\n",
    "x = np.arange(len(labels))  # ubicacion en eje x\n",
    "width = 0.35  # ancho de barras\n",
    "\n",
    "plt.bar(x - width/2, men_means, width, label='Men')\n",
    "plt.bar(x + width/2, women_means, width, label='Women')\n",
    "\n",
    "# Labels en eje x\n",
    "plt.xticks(x, labels=labels)\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico de Dispersión: Scatter"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "D:\\Anaconda\\envs\\juli1\\lib\\site-packages\\matplotlib\\collections.py:1003: RuntimeWarning: invalid value encountered in sqrt\n  scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "N = 100\n",
    "x = np.random.randn(N)\n",
    "y = np.random.randn(N)\n",
    "#un parametro mas\n",
    "s = 50*np.random.randn(N) #tamaño\n",
    "c = 50*np.random.randn(N) #color\n",
    "plt.scatter(x, y, s=s, c=c)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Elipses: patches-Ellipse"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from matplotlib.patches import Ellipse\n",
    "\n",
    "NUM = 50\n",
    "\n",
    "for i in range(NUM):\n",
    "    e = Ellipse(xy=np.random.rand(2) * 10,    #posicion\n",
    "                width=np.random.rand(),       #ancho\n",
    "                height=np.random.rand(),      #alto\n",
    "                angle=np.random.rand() * 360) #rotacion\n",
    "\n",
    "    plt.gca().add_artist(e)\n",
    "    e.set_facecolor(np.random.rand(3))\n",
    "\n",
    "plt.xlim(0, 10)\n",
    "plt.ylim(0, 10)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Histograma: Hist"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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   "source": [
    "mu, sigma = 100, 15\n",
    "x = mu + sigma * np.random.randn(10000)\n",
    "\n",
    "n, bins, patches = plt.hist(x, 50, density=True, facecolor='g', alpha=0.75)\n",
    "\n",
    "#añadir texto\n",
    "plt.text(60, .025, '$\\mu=100,\\ \\sigma=15$')\n",
    "plt.xlim(40, 160)\n",
    "plt.ylim(0, 0.03)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico circular: Pie"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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e66/zSx+LRqSf8FHc3RcLcDG33IthuVmCG68BUhWnH0kSE74+cEUptOFwHx1WjO/AH9mUxtX0iJezuX6xmFLExDbsKlx3oHzbdqJ07Rp28+QOnF4l/PHV17ec19lZ7i0AkjuoL0lxWuzsi7+cySIMFcIeInDT0NgyoyuX/Gc2d35/tmS+m+yUUii8PCiQknGpXjEs+pTiLiTxv82KF/w4y8XcCpy7XkZzPD9eaNv3Qop/bU+CwMwle9MEv5Ntm9WNzUspxZGNVyRTgQAATKU22CwMr+/VS2xXnAPPI/uZZyh/zkotfbyd4DOExXtS9GY7+yYASf3dJSdOm4N97rekXAidcPDa0Fa8h4Im96xMltx3AlSuO92GDBHbDafBGY24PmUy0T/cnRrbMUhQ28euFiO7xOIGYLighu+B1C5EVx6Y+/meVI2QRtsEumFCp2Dij2XnCcYJCez1wfXkYopu10E6p5idgD39GrL/8xzeHRwBXxeVoLYX7UrRl1sd7wCQzOF2SYnTwXIz9182ENeKhNu6oEgC/5sYx57bc53LvyZ+ZPZO5KSWQuHl2Xg2O++A6eBBVOzYwf44qb2g09tdyXkw2ZhgAAlC2r0bUhInYWO4ucsOXBE0uX3pE+05zsQQJ7cJky9bVyqKrWDsHHQJkrl2nEbBwvepZjqSmp4QKphNjgcW707Vllscbwtm9B5I6YLsWWS06c9eLxXMYKcQT/SK8CF//yaJ5CRYVvN2si+XsG4PP1zn1+c6HJiUmYmh6VfxcPpVrC6pLMh10WrF2IxrGHktHY9du4a/7lDx7+OCAjycfhVD06/ivfx88DwPO8dh+vXrGJZ+FetKbqY3vpGXi+Q6VnDgjEbkvfY6/tsjmHfXCDdZ2HQ2m6ApohMA8U+IQ0LirLA6Xlp9NEPQneivxsZyJ7Zd5cXMAKoNmcnFlCI2rs7rTpog8F9fX2wPDcOPwcH4oaQEaTYbPjEUYLaXNzaFhGKOtzc+MVRtAHXWYsZZiwWbQ0KxJSQU560WnLSYcchsQnutBptDQrG1vAwAcMlqBQugtbruAfeKXbtgPXOW+268cPu7NobDb0l5vIPlJLGtIhVxeugV6PvKgFBi97Px7PB2TZxucFbPcKg4EOf2ZtU6ALBm/0d4adWjeO+nKTce+/XUKryyejQW/jwdC3+ejguZx+/4eo5j8f7PM7B0x8s3Hvt+zwIs2DAVW48vv/HY72fW4Fz6oRu/Z6eUQuHjVeehxIembwhGR1IIU6lQwDAgQMDEVQbCjBwHX7pqNhsBAjaeg4PnYed5MDzgRdGgQcDC8WB4/kZp9S8KC/GM9/0fC8t95RWqbYCeEvKI2YZT1zUWBztDMIN3QSriHE2k7bYQSzoh/PIK4rOhTfm0N7rz3zzZng/zqf/UWgVF4P8SwrnDP6cSfB2ms50jB+DpwVWLufVqMwrzR32D+aO+QVSz+Du+ft/5X+Dn0ezG79lFV6CglXj5seXIMFyGxWZEmakI1/Ivom3oQzeeV15oAcvw0HbpUmufbyfbYcdFqxVt1Gq85OuLjwwF6H0lDR8ZCjDXx6fK89tpNOik1aHHlTT0uJKGbjodwlUqdNXpkONwYGxmBsZ7eGCvsQKt1KpqBV5bmIICGBYt4j8f3kKwEPqJa8VwMJwvgLZC2bwT0hCnpXQ2Tn+vQ2kmiP0LSOKT5gT90xNEPxzn9jzTGWdf7MI+3z8Sarp+3H1rWBRvK7fjytm6nXaJaNIGWnXd6kSVGA24kHEcXVvezJWlSBoOxg6O58ByLEiSwq+nvseQjhOrvD4npYR1GzasTrb/wcRxeDY7G/N9/aCnKPxYWoqXfH2xNzwCL/r44rW83CqvybDbcdVuw97wCOwLj8BxswmnzGbQBIGPmjTBLyGhGODiitUlJXjK0xMfFORjbnY29hrv7zRPyY/rCT0YYmKX4Pt6n5rC88D6U9eVZjszWRCDd0EK4gwEpYhE2u6bj/A8kH4QxIaJFPFxc3j8+SY1J8rOXXy9B7bPjud6t6z7KQYlReCRNoE4tCGVrO8WNwfPb8aCDVOxZv9HMNuqvyg3HlmCEZ2nV3af/ht/j2Do1W74YONMxAR3hqEsGzzPIcgnssrrMy4UU8oOneq8DnPwPOZmZ2Ooqxv6ubgAALaUl6GfvvL/B7q4IKmaQM5uYwXaqjXQkSR0JInuOj3O3RY4+rG0BMNcXXHOYoWepPBJkyb4vvg+q8AzDAyLFmFeQjPBRs+Np7NpABMgcsaQFMQ5BGm7WXB3iHPYyoEzq0As7UoS3yQgKmsdVoxpjsuvPcQtHtOWD3SvXdDh7WFRKC8w85kX6rd1QPfWD+PNcavx0qhv4Kr1xC9HqxZ5S8o4CheNB5pVI7pR3Z7G/FHfoE/b0dh+ciWGxD2F38+sxYpdb+PwxV9vPC87pQQKX586XTQ8z+O1vFyEqZSY5Ol543FfmsZJS2VQ7JjZjGBF1SlpE1qBkxYzGJ6Hg+dx0mJGmOrmuYQylsV+oxHDXd1g4TiQqNzNt9VDXeSyLVsJlcNKPN6p2b2fXA9cMRiRU2qlAPQRxOAdEF+c5uJxSN5Ss4VlYSqIna+SxEdhUG2eQg7TXeAOPd8Nx+d1YWf2CLtnXriKJjCybSB/aENqvX9uV60nSJICSZDo1moIMgouVXnO1bwLSMo4gtfXPo6Vu99FSk4iVu25tQnWX9cOI8gnEjaHBYXlOZjS73WcvXoQdkflaFZWYAHHAZqOHWvt4xmLBVvLy3HcZMbIa+kYeS0dB4xGvOXnjw8LCjDyWjo+KzTgLf8AAMB5q+XGFLe/iwuCFEqM+Pt1LVUq9Pp7tAWApUWFmOHlBZIg8JBOh9MWM4ZfS8fDrvVQJpZlUfjFl3ghIUiwyO3GM1l6k415VCh71SF2xokGSl0XpO2p3as4FkjdBSJ1FwWNB3xjRpMvxs/g/9u7J3E2x8x9tCuNPFZNU50XB7ZCaZ6Zz00rq/cUrTJTEdx0XgCAc+mHEOAZUuU5w+OnYnj8VABASk4i9pz7CRP73IzYsiyDfUkbMWvgAhSUZ9/II+N5DgzH4J9xKie1lHUfMZyynDpVKx87aLVIblF92ZyfQ6pu+EerNYj2r8ykpAgCb/n73/G9X/K9WdFARZJYHlS/o1zZli1E83kvUL1b+mLvpapbPfXNn6kGYlaPcFEP0Yotzt7Iv2CDtbTuiZSWEhAnlhE4sQyEXzTad3iKXzdxLKx2htucXEZ+9EcKis2VvTAfbdOEPbY+9b7XESt3v4vU3HMwWsvw6poxGNxxIlJzziGr6AoIAJ4u/hjX/T8AgFJTIX448AlmVxPdvZ2DF7YgPrI/lAo1Aj3DYGdseG/DVEQFdYJWdXMLOONCMeXXtTMLiZ2icCa83Y6i71Zyb4wez++9VOD0z30hpxwUSXijMiEhy9n2qkPcXim2iu9x4IMJOPJF/Y5klAKIHAS+03QWTeOorBITuzetnBobG4TvXvizSifphoZHgBaj/tuBvxLbRjJJ2kJA+/ggfPcuxL6/H0J0Mls+oaOxb2u/OQBWOd1YNYi95hyEtN31f4GxDuDiVhCrhlLE4jZoeu5z8on2vjx4OwbPjuF8mrnc+z0kTGVGE0Go24q+FScojMEA66VL7LN9qgbUnMHui/n6MotjhCDGqkFMcfqCpN1hqBo4qVeM+SCOfE7wIIndK76C0ZDIj3w+BhMXxrEPPRYBpcgtAupK7pVS1m3kCLHdEJzS9T9RI1p6CBIYOpRWCCVF9oZIx8jEFGdn5CZaa93yuS7ETYOptIS/dGg/fl/6GfXV1CdwYM0yyqeZhX3qw3iMfqU9G9lJnBKNdSXjfDGl7tS1UdYVuhsVO3fC3UVDhXo7//BSVokFFVYHCSDK6caqQTxxMrZuuHpAkER3R/vJ7F97dt40bbfh0qH9WPfq89TK52Yh7fgOouujgfyUj+P5QTOjeXc/UVuy1Iic1BLQ/v5iL0sEhzMaYTp+gpnbN1KQwMGhtEISIp3xFG9OZzf1RdYJ519cBAXCM5S6dOSDav+53FCAIxvWkkd+/gFBraPRtt8QdswrcZS53MZePlFMnfntGhgJ9AK9ndJ8C0gFRfjNf4lXhoQYSVdXjqBogCJBEARs167R1qQknfnUaViTkwG28QyyZT9voHu/8bYg0epzWWXa/q394/QiLH/EEicNpT4KWaedbylyIGxmM19RaLj7uoHncf1CEq5fSKKUGg1adOlOxQ58mGvXpzNZnGNhT/12nbqWJH6pTHc/LToPDzMFR3vRrIMrdh8zZiupVh8AUAyA+fuHULduHeHSs2c8zzD9CJr2L16zlixetUrBFhWJ+wHqAeOBg2jiqqPc1AqUWR1OtXU5rxwOjotzqpE7INZWShTKc45iUSvnh01Hfo0USzN226cL63SX9QgIREzv/lxM7/4kzxFc5qUK4timq4SxRNiynS6easQPD7OExfqwJEkspGjyWwA1zdwPY02mVwiKerxsy1YULl2qZvLynOmu0wndtpX78JKd/O7wNafacdcqcOLlvlYlTWqB+s7GvjtirVlawHBZkA/q8O/IZp5PrPP0pyQ3GwfXriS/mvYEdiz5mFTQWdwTb8Xhibc6sLEDmoFw9jdIAHFDQhyPvxlvDo/1WaxQUk0pmlyAmgsTAK5SOt0UUq0OcRs2bEnYr9stroMaducy0+EjGNjaz+nrjVKzAxYHywEQJrH3X4g1rW2OgmRBKuxxen8yJ+X+t2t4jkN64imkJ56i1HoXtHqoB9lu4MN8x0FdCUOmiTuxPYPMqecu17SCxIBp0eYmzd1TaSU1GEDOfb5lPqlRvwBgXcC772zVtI/1yl/4vgqc9NbU98J88iQZNWy4IAvp1PwKR8cQzxgAGULY+wdxxGkta4vCVOc3j/EIAaVQEYWZ9fudWo0VOPv7duLs79vhExyKNn0G8oNn9QJjZ7lrSeXk8S1XYam4v7WQQkVh2Nx2Zs8A3Q6lmn4CQH3Oo0+TOl2M28iRO2hf35jsZ+cKWoq0PrCcPQuNTkMpKAIOJ2d8nbtequ0Q7BFDEMR2pxq6DXGmtRwbheIrzrcTMxqGjKsczztvZDBkpGPPd0upr6Y8jt3LPydd3AvZCe/FY9zr7dnohDqWWyGAIU+3MXkF6DYq1fRo1K8w/6GY0ut76Lp1u+I1c2aDq4fLFheDLSvje7Vwfoey5NxyRZnF0dnphm5DnJGTVgejyPni5EJ78tfOJAqS3cGxDNJOHEXaiaOUzt0DrRP6kLEDhvCdRzRDXrqZP74lnTRk1qwqQEyPppxPkEu6Qk1PBuDMOaeV0usHes+YnmS7eNHDeOCAE03VP+ZTp7jeLaOpncn5TrWTU2YFx0PYMvQQZ+TUgVLoUHG/y6d743CP4HIuJwueemUqLcHJrT8T3z79FLFxwWvEjZTBBR3vmTLo7qdFl5HhVqWGfhSV2yLOJpvUaIY0WfSJhfZrWFlStuSLVEtfrdMDW4UVNtAkUbWwkpMRQ5y+sJbZhEjbI1R6srSaejhCkpt6+WbK4NpvKJ8gMzfpw3iMfiW2asogAQycHm0iKeJFACkCunmUIMklPv+ZK2yDmvvEkZeLIC3p9KBQkckOJU16ONvO7YgxrfWEtUyQNQ6lVBLmv2upis0/KYOXDu0nXbx9EN2zH9H1kUF899EhyEkz4djmq4SrtwZ6T3UORZNLhPaP1Gjecx04cFbhl0vgyBLl+GKtceTmwVtBOX2AKTXboaBIDSo7YDs36+FfiDFyesEsQJaK2gMEQcJukV7B6IpCA47+/AP59cwJxJZP3iUclsvc6Jdj0XdSBKfS0Asg8Gb335SC57/xnDTJLoLtOsHk5YJWKpx+DXM8YLYzNgDCFdCFOOL0hLnI+Xa9wiUpzFvgeWQlJ2H7Zx9Q3z8/Gwq1igOwUSx3SI3mC7eRIxrMpqcjvwCkWgVVPZVMvRslZocDgKCLcnFGTmOB86fTHiGwGo0N5kJrFt0WDpv1DwD3V+j1/kgnAJMyNEREF2oBw4AzmdDc1/mHm4qMNh6A8/dt/oU4I6fJ4Pzmi25BsFSUNZgUtWYx7UxqnX6z2H7wDHNYE9tebDdqjKOwiGvu53xxFpvsBADPez6xHhFenKxDC4fF+XZdA2Asqd/atM5E7+HJABA3tAyAcnPbqYuPr77NmAThrRbeS+f8e72D5QgIXFCt8R7WdfGHsbiowRTA0rq5A7VLZncWF5QR4Q0mKMQ7GEHWnAzHExB4d6NhFtCpCWo32Mz5Debmo9a70JCGOM3KZs00gZ8uEtuPGqEMakqO8FOgVZN6KF59F9o381ADqP+uWneh8YqTdUCl0zWY2q4qrU4FwPnVku8NxWsIqqJNWYMonaDWcxRbkc1Z1eedGl9gqXgCCBK0fk3jFaelBBoX/wYTEOI5jgOgAmAS2RWlxZJpvHT5Fbe7PYllecyenQ1vLxrvLbi1Enx+PoMPPyiA0cSBY4Gp0zwRH6/F+fNWLP6sEAoF8PIrfmjaVAGjkcU7bxdg4fv+IMnar0L0Lq3Z39J3UysvrKz1a2vDhwkfmoJcggQtI9Fgpn21xmSAWidoo+z7orywwAJAmIKsdyfEYsm852xj0y9laNas+lN/a9eWoEdPPZYta4pXX/XF54sry7v8vKEUCxb6Y9Zsb2zfVl753DWlGPe4e52ECQAkoYCVdX7WIUVQPITJdb6B8CMnSdtBKXk4uxaoyQCVt65GNtafOIfk3ALoVUrMG9gDALD66BkYKioHMYvdAY1Sgef6d6/y2oOXr+J4+nUAQICbK8Z0agMFRWHtsbPIK6tAqwBfDG5T2Z9kd3Iq/N1cEB1YteeIIeMa7dmkaTSAY3X6vPUEx9naVlRcuOvaymBgcPy4GY8/4YGfN1RNjyQAmE2VW8wmEwcvr0qtUzQBm5WDzcaBooGcHAcKDAzatav7cVKCVBBWxvniVNNqHoCggTLhxUkQxdB521E5hXMeFXlQabU1EmfH0Kbo1jwE644n3njsyS439/q2JiZDXU1bvDKzFX+mXcN/B/SAgqbwvyNnkJiZg0APNygoCs8PSMCyA8dhsTvgYFlkFJWib+vm1fqQeT5RF9ImdoBKp1te7RMEgmWtQ8sr/rrr9/bVkiJMm+4Fs7n6HI8JEz3w4ou52Ly5DFYrjw8/quxaNm6cO97/wACVksBL832x7OsiPPXU/W0dkqSKMDucnwnmofLgUFlETTDEmNYWQe/r/DtQeQ6UGk2NxBnu4wWtsvopGs/zOHc9F7HNqj84zXE8HCwLluPgYFm4atSgSAIOlgXH82A5DiRB4I/zKRgQfedZa1byeRAU1RviBrCaAFR4m5hlaBOzjPXzHQqKunVpcOyoCe4eFCIj73xv3bfXiAH9XfDj+mAsWOCP9xcWgON4RESo8OWXgfhkURPk5jrg6UUBPI933snHwgUFKCmu/axRqfAkLhZdrPXraou7yp0A0OjXnEXQ+Tg/ra48GwpVzcR5N64WFsNFrYKPS9WZnptWjZ4twvDur3vx9rY9UCtotPD3gZ+rC/QqJT7bdQitm/ih0GgCDx5NPe4cYynOyUJZfq4SwOj79bmucBw37uLFq7Zly75DdrY3FRLyGpvQ/QQ6tP+JDQx8HCqlH85fsOHoEROeeDwT771bgMRECxYuuDXIvGNHBXr0rBR16yg17A4eZWU3/+Q8z2PtmlKMH++B/60uxfTpnhg8xAWbNpXXyl+K0oEklcg0Zt7/h78HLioXCgKLU4xobRG0AmRBleeAVt3/zDkxMwft7jBqmu0OnM/Jx8uDe0GjVOB/R87gdEYWOgQ3xfDYmxX8V/x5EqM6xmB3cipySisQ6eeNzuFVi7nt/99y/fAXXv1YqdFsgMDBBwB6hmFeOX78uKagoACbN28GAEqv16NLly5U69Zz2OYRr1LtYq9z+XlbCYPhD+LwkSRs+KkM81++NeXU15fG2TMWDBjogowMOxx2Hu7uN8eBXTuN6BSvhasrBZuVA0EQIAnAaqvdPVutDoSNMTo/fgFAR+tUeCBGTrW786duDjM4loHe06vOb8FyHJKy8tAuKKDaf0/NL4SXTgO9WgWKJBHT1B/XCktuec757Dw09XCDnWFQZDRjQtf2+CsrF3am6jZi5vlzKMrKdOU57sk6O11HHA7Ha6mpqars7OxbHjcajdi1axcWL15KLVz4EY4cvkrq9aO5jh03ITrqS16ri4CbWwd8v7IER45UBtBmzvTCb7+VY/q0LCx4rwDz/usDgqjUj9XK4Y8/KjB8eGXSwKhRbnj55Vx89VURHn64dokEGnVTVNjLnb5dpqJUIAmSgMDbXGKMnIVQuzk/GRIAazGy3s1CKGNx3W54qfmF8HXVw11bfTTRXatGRlEp7AwLBUUiNb8QQZ43p64sx+HPlHRM6d4JhUYT/r4+wf+9Fq1ueXlg9Qr9Iy+/9YFSrfkBzinsVR0hPM//3x9//HHXsCnDMDhy5AiOHDlCAUBMTAyx8rvNXECAF7FyJUEYDLvZ/ILtFEkeweLPldW+h1pN4pNFN2ciMW00WL68buV5NNoQ5JgMTh9g3FXusLG2Ci3p/JIo/0YMcZaB5x3QeStgcm57A9qUA++gYP5a4um7TnvWHD2LK4YimGx2vLNtD/pHNUd8WDMkXs9Fu6Bbp7RlFis2nPwLUxM6IdjLA22aBuDTXX+CJAgEerihc9jN6erhtAx0DGkKJU0hwM0FdobDx38cREt/H2juEIDKvpyMzKRzumbRbVYpNdpxcP7Ba5XNZvv58OHDdHl57dZ8SUlJSEpKIgEgJCQEnTvHky0ie3BKpZYsKTnG5udvpQqL9oFhave+NcXVtR13uiTV6eIMcgmCnbVnaRXCNrgSpx2Dufgi1o1tievHnWtn2JdIsYcx2z5d2KAyoWiVCk++v9js6uO3llYopjvRFGWz2X7KyMgYuG7dOm19XQteXl7o1q0bmjcPYnU6N6qiIpnNy99CGgy7CJut/g7edO68m3/z1FfE7+m/19t7VsejzR/Fcx2e+8lV5TrGqYZuQ5yLliAuwivC+eJM242APh83iNzafxMQ0QJuXn4agiGe4gnuOkGT76L+R1DaZrOtKigoGLhhw4Z6EyYAFBUVYevWrQBAabVadOnShYqKmsFGhL9IWW25XF7eFhgMf5AmU91rmBEEBY26KXEk+0i9+X0nQt1CHS5Kl7NON3Qb4ohT5XYW3s2Hwdl7epd3QDtyOaHW6WE1GZ1qqr4Ij+uMYf/3Esp2pMOaXEx7T4l+kXJTxZFq+nEA9fUhImw22y+5ubnhP/zwg9bhcF7NKrPZjD179mDPnj0URVGIi4sj27Z9lO3YYRpY1sIXFPzGFRh+o8rKzoDna55rr9WEgmGtfLm93OmR2kiPSAtBEEJWQwQgljhJMgW+UWYAzu0yxtrAmEpY/+YtqGuJArQbvE9aJ/TBgGnPoOSXVN6SWNmyMP+LszqPkc37aaK9U0gVNQvAVtR9FCVYlp3Csuziffv2qY4fP04JuaxhWRbHjh3DsWPHKABo3bo1ERf3EBEdNZyjKJosLNrL5udvp4qLD4Hj7p6S5+HZlc8x5VYfVatnQt1CCQhbqhSAeKdSUuAjTGdiRfFlMrBl63sGhcQmdtAw9Hx8CorXXYL1YvFNXxkeJRtS1ObEggCPkRFrSa3iEqmmFwLYhprnemoAzLZarU+Xl5f7btiwQWswiH90NDk5GcnJySQABAUFoUuXzmTziIWsSqWjSktP/h1Q2guHo6TKa319BvM/ZexzujApgoK3xlsLQID+IbciVn9ODVh7GRY2VYBx8m5B/AwUt32GW/mfmZI9gdNl1OPoPGwMiv53AbYrd6mzSwLaNj7QdwusoP20AMdvJ9X0bgDnUHlQuxSV7Rv8AATwPN+RszBDSQXVxcbaNYcOHSIOHTokwCe6Pzw8PNCtWzdERjZjdXo3ymRM5fLyNxMGwy7Cas0CSaqQkHAWvX7qhxJbVeHWJ5EekVg1cFWOXqkPdKqhahBr5LTAbsqAf0wEsk4519LpVXDp/TbpEdAEJbnObwFRW3pOnM7H9h5MFC5Pgv36PQrvcYA50QBzosGF8lRDHekxThXuNkzZRM+SGpomlJQCBAjOwlg5k4O1Z1aorGmlatvVUrgNCeODg4PZQ4cOST5AVlJSgu3btwMApVar0aVLFzI6egobHvYCZbMV8OXliTDaSvgSW4nTb7htfdqCBy/KHU28LQaSPozAjs4XJ2MFUZbJtHqoF3lkw1pJjZ6DZj/Ht4jrThi+PgdHXu1OVrDFVpiO5cJ0LLe6411VDrKWbb9KhLzYgXJ1dUVt9zPFxGq1Yt++fdi3bx9FkiQ6dOhA9OjZA38VnRdkmRLnH2dyUbrsEcLW7Yh3sapc9iE0QZAQKn1yGR3dq5+k1pwj5r3BtejwEGFYklhrYdYFzugAU2hhO3bs2GBq+d4Ox3E4deoUaEqFxYmfC2Kzg18HHoDz92uqQcyR5BCCuwpj/9QKqLQa+IaGC2LuXox940MuOCKGKPjiLJgi4XoHmXZep+Li4kiSlNQEolYEBwfDwTm45KJkp9vyUHnAXeVOAXC+sWoQM3PmKiiVAx4hQMk151rieVB5iXzrhN58QfoV8a5MksSEBYtZd70fWfBFIsGZBOuJAwCwXiyGngnlWrZsSSYnV15vW7ZsQUpKCnQ6HWbPng0A2Lt3Ly5fvgyCIKDT6TBixAi4uFTd9dq1axdSU1MBAAkJCYiOjgYA/PLLL8jPz0dkZCT69OkDADh48CB8fX3RsmXL+/oM7du3Z88WnhXkb9jWty3MjPmcklKKMtsQ8xbKg7XvR1gvQYxRBz8gWyf0Jm9knwsMSdOY8sky1k3lQxQsEV6Y/+A4V0x269btxsXWrl07jB8//pbndOvWDbNmzcLMmTMRGRmJA9U01U1JSUFeXh5mzpyJqVOn4ujRo7DZbMjPzwdN05g1axZycnJgtVpRUVGB7Ozs+xamVqtFq1atqMVnFwvyR+wc0NmuU+h2CGGrOsSd32jcf0T0I8L0Bkk/AJJnuKatogUx92+UajWmLf6O09i0hGHpOZK3ild1smxnBnx9fEgfn8pesMHBwdBobj2MovrXOVi7vfqtVIPBgGbNmoEkSSiVSvj6+iItLQ0kSYJhmMqTNywLkiSxb98+9OzZ8759j4uL43KMOWxKqTD5AP2D+9sVpGKrIMaqQezFx+8I6qSCou4FnmqDIm0HGT/iMUGnKGq9C6Yt/o6jCgHD8iSSd4gcj7FzcGSZuPj4+LveIfbs2YNPP/0USUlJ6NWr6uzG398fV65cgcPhgNlsxrVr11BWVgYfHx9otVosW7YMkZGRKC4uBs/zCAio/kxsTaEoCp07dyY/Ov2RIFtBYW5h0Cl0NlTuIYuC2Kc1SmE3JyG0RwekOPdkAQCQf8xH4NzLpF94c+RfSXW6Pb2nF576cCnHpJv44h8vUZBInLTi12tkmxltsHPnzjuOjH369EGfPn3w559/4sSJE1UEGh4ejuzsbKxYsQI6nQ5BQUH4J9A0cODAG89bt24dhg4dioMHDyI/Px9hYWHo0KFDrX2OioqCiTFxB7IPCDKg9ArqxQHYBHF6pQIQf+QE1G4/oNUwYRrnWEtBXz/E9hw/2enzSo+AQEz+eBlvTy7ji9dJR5gA4Mg2gjU52JiYmHteeG3atMHFi9UX0EpISMDMmTPx5JNPgud5eHndWnXi0qVLCAgIgN1uR0lJCR577DFcvHgRdUm0T0hIwHcXvxPseh0UOsioVWg3CGWvOsQXJ0ltRcshECpQQ2ycSvmGhlOBLVo7zYZvaAQmLvyCt5w08KWb0ijx7r13xnY0n+rWrVu1/1ZUdLNyxKVLl+DtXbWhM8dxMJsr92fz8/ORn5+P8PCbW1Usy+L48ePo1q3bLWLkOA4sW7t7Y3h4ODQ6Db/m4ppava6ueKo9EeIWogRQNRImIGJPawEgDQSRj2ZdQpAhwF6vtQSKS5v4nhOn8mtffq7eb05No2Iw6sW3eeO+LL5if5b4N787YDyUDZ/egdixYweSk5NhNpuxaNEi9OzZE2lpaSgsLARBEHB3d8eQIUMAADk5OTh16hSGDRsGjuOwcmVlCwSVSoVHHnkE/94/PXnyJNq2bQuFQgE/Pz8wDIOlS5ciIiICarW6xn6SJImhQ4fy31/6nuAFusv1adaHtzG2PSpKJVSZmGoRK/H9VjjmOVzY9A42ThWmDgSlhP35dH7LJwuJzPP1t97/11lM3nQsT1IZSdXhMb4ln0kVcuvXr5dsvm1cXBzfvVd3vtuGboLd6DYN31QR4R4xBoBo2yiAFKa1AEDSq9FyKAWVc4933oC1Q3nmW6LnhKn1dmdqndAbw56Zj5JNaQ1CmABQ9ms6ERERQel0gna2qzEajQZ9+/YlFp9bLNh12ty9OZromjAAdgpl805IQ5yAAYztAKJGCmdxz9tw8/JA8/jq1121IXbQMAyY9iyK113CP4ekGwJciQ1MsZVt3769hMJVN+nduzdbYClgfkr5STCboyJH2SiC+gaA6C0QpSJOQOP+JTrNECYhAQB4DsqdLxIDZj4DnbtHnd+my6hx6DluCopWXYD1Ys1baTz/2/to98Uw9Fkx8cZjyQVpGL56FvqumIinfn4JFbaqZVJzyvMxet2z6L38SfRZPgErTt0MKC7YvxT9vpuEudvfu/HYLxd2YvnJO1/c5r1ZVOfOnUlCpMypO+Ht7Y227dpSc/bPESwuoiAVGBY+jFfRqm+Esnk3pCNOYAc8wzh4C9gF768fQZdcYYY++1+mLtHinhOm8Z0fHoPC5Ul3PyRdDY/FDMTqxz665bF5Oz7ESz1mYPeUVRgQ2R1fH19X5XUUSeG1XrOxd+pqbHnya6w6swkphddQbjPifF4qdk3+HgqKxkXDFVgcNvyU9Bsmtn/kjn5YzhWCAsk1b159gyUxIEkSox4bxe/O3M1fLbsqmN2eQT3B8ux5AMIZvQtSEicDgliKrs8Id0wDALVmOO0bHELFDhxaq6ndwNn/4dv1GkwYvj5370PS1dA5qB3cNbdWOE8vvo7OQW0BAAkhHbEjpWok30/vjRj/FgAAvUqLCK9g5FUYQIKEg6tMm7M4bFCQNJad+BGT2j8KBXX3wYc5X0p269ZN9GncP/Tp04dV6pXc/EPzBR3OJ0VNMrqp3D4V0ubdkJI4AYVmEWJG8dD73vu59YWlGMrNk4nu4yaSXk2r9i+pjuHzXuNaduhe72cxI71D8Edq5aH77Zf2I6fi7l3or5fl4kJ+KmKbtIZepUXv8M4Y+P0U+Oo94aLSITE3GQMjq/YUvZ3SHVfRpEkTysOj7tP7+iI0NBRxcXHUtD3TKE7AzI22Pm0R4R5hASBq4sG/kZY4AQM4di26zBG0SSlSd4K+sIEfPu9VnqLvPsqMfeMDLiSiLVHwRWK9n8X8ePBL+N/ZTRj8/VSY7GYoyOqrwgOAyW7GjE2v4c0+/wcXVWW0dVb84/jjqe/weu85+PjPFXj+oclYd247Zm1+A4uPrLqzYSsHJtfEderUSdTRU6fTYfTo0fyKiyuQUiJssbvZ7WabVJTqbQDiHBeqBqmJE1DpFyBuKgdV7Zra3C/E1jmEnrbzCU9Mrv52TZKY8P4XrK9PKFHwZSLBltX//nSEVzB+GLMIv01ajuGt+yLYo/ruZg6WwfRNr2FE634Y1KJHlX8/n58CnucR7tkM2y/tw9IRbyGjJAfpxdfvaLvi90yyffv2FH2Pm5OzIAgCo0aNYrPMWexXiV8JajvCPQKxvrEsRVIrBDV8D6QnTiAdHLsDHZ2f/3o7ilWDyJjefcnwjvG3PE6S/zqL+dU5gjM65+ZaaKqsJMfxHD4/8j+Mbze8ynN4nse8HR+guVcwpneqvjvAx3+uwAvdp8LBMeD4ynsNSRCw3KXSof1qGTgrw0ZFRd3xOc4kISGB8/LzIsf/Pl7wu8PMtjPNFEF9BECYHO8aIkVxAmrXN/DQf2xCHSW7QUUOFJunY8j/zUOTyMqDwbRSjWmfr+A0di1h+PocyVvqp23m01vfwojVs3C1OBNxSx7Fj+e2Y8vF3Uj45nH0/HY8/PReGBMzGACQV1GICRvmAQBOZidh44U/cDjzDAasnIwBKydj75WjN97395Q/0ca/BfxdvOGmdkFr3wj0XTERNtaO1r4Rd/XJfqKQeuhfB7GFIiYmhu/StQvx5M4nCTPj/HpK/yZQH4geTXtASSm/ENRwDZBG+l51WMu34eiXA3HgA+HnWT3nw9bp/7Bx4RsY+fzrHPIZvmh1MgVGot9VfUECvm/E4/tV3yMnR5gyoqGhoRg3bhxm7puJk3knBbH5bz7u8bG5R9Mei9W0+mXBjd8DaY6cAKB2fQbd5jqg9xPe9v6FUKZs5ca+8j6Q40DRqguNX5gAwAFMegXXuXNnQZYUgYGBGDt2LN48/qYowoz2jkZC0wS7mlYvENx4DZCuOIF0AN+g75uirAOIzTNJInM/p2yqJyiX6hvBNkbKf00nW7VqRdXm5Ehd8PPzw5MTnsTivxZj29VtTrV1J17v/LpRRameR/01iKpXpCxOQKl9E1EjGPg67+zl3SB+eJQkc/bxvk+34ynXB0OgjMECpszKtmvXzmlThSZNmmDSU5Ow+tJqrE5e7Swzd2VAyAAEuQTlkgR5lz0mcZG2OIFSkMpXMOSTqkmmAkH8OIYks/fxvk+3A+WmuvcLGgGWA7lU165d4Yx828jISEyaNAnrr6znPxeoMPTtKEkl5neab9Yr9dMhgQT3OyF1cQIU/TX8YwrReoRoLhDrx5Dkta2839xYqMLdRPNDKMwn86GklXxoaGi9vm/Hjh35UaNG4f3T7+OTU5+Ilmn/VPRTjJJSHgKwXywfaoL0xQk4oHIZi2GfW6D1uveznQSxaSpBHv0AXhOjoO/RVLJ32/qCvVhGdOtaf/m2/fr14/r064MZe2ZgQ4p4GXKhrqGYEjPF7qJ0mS6aEzWkIYgTAI6BpJdj6KfCboLdzsGPQP78BFx7NSG9JrVmCZVkCwjcN2W/XiWaBTejXF3vL1NLqVRi9OjRfOt2rTF823DiVIGTG1fdBZIg8UHCByaaoF8CkCGaIzWkoYgTUOpeQkSfUrQYLK4fKTtAft6aUHlV8H5z2/O0j8CJEgLBmRkwBWY2Li6uzkkJgYGBmDNnDk/6kPyATQPIXFNufbpYa8a3Gs8GuQSlKCjFElEdqSENR5yAGUr9OIz4ygK1u8ieFIJc0pamrqyH75x20MR4N8pNUOPfjY8oqnYzBJIk0bNnT3bixIn4JfMXPPbbY6SFFTczLswtDHNi59j0Sv1jgJQKld6ZhiROADgIUrEGw7+URA4ksf0Zgtw4Hh6PhsHj0eYcqZVCMcP6w3a5BLyDY1u1alXj13h6emLGjBlcbKdYzN43G5+cFi/w8w80SeOTnp+YFKTieYjQPr6uNDRxAir9swjrmYVOM6QRlPl7mqsNyOf9X4yDPiGQAyX69VhvMGeKqG5d751vS1EUunbtys+cOROnjaeJhA0J1PG840K4eE9ejHvR5q/1P0aT9DKxfakN0s2tvTvhsJsTsWqoHtmnxfblJm3GgOv/CctzSrJkyxXCeqHo3q+ROjQJ39fjsHz5chQUVD38TRAEoqKiMHDgQJQypdy8Q/PI80XnRXC0egaHDubf6PJGnlahbQ2gVGx/akNDFScAjIDJsBZLOmlhrnlhLadDEECP+eDi5/JMkZ0v2ZRGOrIlmR1WY7ymRXMXy9L5rVu33rL4DAkJweAhgzmNXoNFZxeRP6f+LJaL1RLhHoG1g9eatQptV4jYkKiuNGRxAnbTp8g5Mx2rHtZCap+DpMEP/RR81OOwXi7mynZcI9kSUQuI1xk6QAevWTH4+JOPYbPZEBgYiD59+rCBgYHU1oyt/LtH3yWELClSE/QKPTYN32T20fjMpEhKnBzB+6RhixOgYas4ilMr22DXa9JMftV4gB+xHAjrBXuOkTUeyaUsF4oARloX873w+m8sezkzjQoICODc3N2IAzkH8Paxt4lye7nYrlWBAIGv+n5ljvWNXadT6KaK7U9daejiBAAv2I2J2P1WAE58I92sAJUbMOgDnosYxkGppiznDKzxeC7lyJL2lJf21UIX78/qOvpRdp7B6pTV+OrcV2C4+jl07gxejn/Z9nDYw+f1Sn1XAMLWo6pHGoM4ASAUdvNp/DLNHZe2Sz9UGtIdfI+XOD6gE8FZOBiP5sB8psBp5U9qBQEo/HVQhblBF+fHUZ5qkshL5Ij975CmMav5p/c9Q5zOl1AQ7jamxExhpsVMy9ApdB3RwAJAt9NYxAkA7WE3HcSaR3TIPCa2LzWn/QRwcf/HEd7hJFNi5awppbztSillu1aO+iqJclcIQNFED1WoG69u6cEpm7lSYFke5ZkcefFnCn9+ArCVgw/32Cr+gIsb98y+ZyQ5QxkRMYKb32l+oVahjQUgTCkHJ9KYxAkA/WEr34zlfTUwXBbbl9pBq4H2E8G3Hsnxnq15QutCsUY778g2sraMCsqRayQcuSbUeXQlAVKrAOWiBKlXQBGg5zWtPFhlUxeaZ5hKMabvpnB2NZB/ofr3cA2E7ZkzGLBxIIqs0tom6tG0Bz7q8VGZhtZ0AiBsXU0n0djECXDMk7CWL8OKfhoUpYntTd2hlECLQUBEX/B+sSzv0gyERk+BIsEzHHg7y/M2luesDM9ZGJ6zMODMDMmZHCShojjKTcXSrkqCdFGQpEZBEkoKPMMBDgcPh4UjrPkg0vdWirEgucZuWWcfY1dk7yW+/utrySSwdPTriCV9lpi0Cm1vACfE9qe+aHziBADWMRm2ii/wXX8tClPF9qZ+UbsD7sGA3hfQeQNaL0DjCWjcAbVb5Q8AGA1AaQZQdAUwXAIKL9+Ynt4XUSNR+vBn6PlTT7C8+ElaXZt0xac9PzVpFdphAPaK7U990jjFCQAcMwm2iiVYOVhbm5FB5t4Y/3uFe+XYO+Te6+JqoU+zPljYfaFRQ2v6Azh6zxc0MCQzNal3SPp7qN2mYPIfFgS2F9ubRoX+/C/kU9FPiTpsDg0byi/svrBMQ2sS0AiFCTRmcQIAQf4ItesYTNhmRngfsb1pPOx+Cy09W1DBrsGimH8s8jHu9S6vl2hoTVcAZ0VxQgAatzgr2QaVfgDGrClD/EzxF0mNAbsRVO457vGWjwv6fZIEiRc6vmB/oeMLBX9HZRv1eqXxrjmrEgqbcQ/O/xyAX59XQ8IZLg2CoHiYJ2xGj/U9YGWd31JVr9Djs16fmaO8opL0Sv0QANLay3ECD8LI+Q/pUOnbIfrRY5j0q0n0agoNnevHwVtK2EGhg5xuKtg1GBuHbTRHe0ev1Sv13fEACBN4sMQJAOVQufSFf8z3mHXYBL9osf1p0OhOfkdNiZ7s1KlXlyZd8OOQHy0+Gp/ndQrddEiof6azedDECQAslLo5cG0yE1N2mdB5lrwOrSuHFsFH440Y75h6f2uapPFch+fsi3stLtUr9QMVlOLrejcicR6kNWd1hMNWsQXZZ0KxcbIWpkKx/WlwsOPW87uV4F44OK/e8m1D3ULxWc/PTL5a32N6pf5xAFVLMDwAPIgj57+5ApVLLJrGfYU5py3ydkvtof6YT/QI6km5q9zr5f3GtRzHrR+y3tzMtdnzeqW+Hx5QYQKyOAHAAaV2HjTuQzBmdRFGfG2FxkNsnxoOxVfBl2WxIyNG3tcUzE/rh2/7f2t+JvaZyxqFJvbvYlwP9LROFudN9kGpC0Orh1fh2b8saPfEA31h1AbNn4uoiVETQKD2R2lpksbUmKnMtpHbLO182i3SK/Vt0UhOldwvD/qa8060h618NQrTgrF5lg6GS2L7I3mML17j5h1+mTyUfajGr+nSpAve6vqWSa/QH/+7d0mDqSkrBLI47wwFlpkJzv4BzqymcfBDlRwwugvDl+CEf3N2ys6p9wwM+ev88Ur8K+ZO/p0qtArtNADidM+VOLI4740fbMZ3QJBP4vhSCocXK2AtE9sn6aHxhPX5ixi+eThyTNUXIfDT+mFG2xm2h8Me5gAsUtPq9wBIonq/FJHFWXNCYKtYABAjcPhTBY4tpWEXraevJLFP38+uLU4kFp1edEssw1fri+ltptuGhw/nePDfaGjNAjzAUdiaIouz9rSAtfxDgO+H418rcHI5DaN8nQEAwnvBOGYNEtYnwME54Kf1w7SYabbhEcM5judWaBXadwHki+1mQ0EWZ92Jgq3ivyAVo3H5Vw5HvtAip9GeXqoxphdS2HXp26gI9whTl4AuJMuz3/0tyjyxfWtoyOK8fzzBOqaBtb+AoisqHP7MBZd/AxwP2FJK7Qa0Gcujx39tFbTSrFXo3qRI6nsAFWK71lCRxVl/0ACGwVI6D7QqFim/s0hcq8WVfWi0x9MUWqB5f6DtGBPCetNgbTuhdvsUwH484AkE9YEsTufgB557DNayGSAVEbiwCUj6SY3MowDbwA9VKHVA8wFA2zFGhPZUgLGcgcbjOwCbAch7TfWILE7nEwLWMQ5200Qo1KHIOmXF5d9ccGUf0SAKj5E00KQdEJrAoXl/I5rEquCwnPpbkFvwgJytFANZnMLiCaA3bBVDAQwEz7ni6n4OGYd1yDkL5CWJv1bVeAB+UUBgRx6R/SsQ2EENhzUblOJ3KHV/ADgIoERcJx8MZHGKSxiAXrBVdAfHdIVSHwJjvhV5fwHZZ/QovkqgLAsoywKMeQBXT0dPKQWg9wNc/AGv5oB/jAOBHczwaamAQkPCbkoDrTr8LzHKo6MIyOKUFkoALQG0AWONhd3cCkAIaFUAaLUrrKUWlOcwMBYQsBtJ2Coo2Cpo2Cpo2E0EWBtAqQBaCdAaDgoNW/mjZeHahIFLAAGdjwJKnRKMtRyMzQCCuAy121EQZBKAJACZkIM5kkAWZ8NBCaAJgGAA3gB0t/wwVjdwjAYkbQGlNIIgbQCs//rJR2VznxwABgByBQiJI4tTRkaiyOc5ZWQkiixOGRmJIotTRkaiyOKUkZEosjhlZCSKLE4ZGYkii1NGRqLI4pSRkSiyOGVkJIosThkZiSKLU0ZGosjilJGRKLI4ZWQkiixOGRmJIotTRkaiyOKUkZEosjhlZCSKLE4ZGYkii1NGRqLI4pSRkSiyOGVkJIosThkZiSKLU0ZGosjilJGRKLI4ZWQkiixOGRmJIotTRkai/D9f+XF2YmE98wAAAABJRU5ErkJggg==\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "vals = np.array([[60., 32.], [37., 40.], [29., 10.]])\n",
    "\n",
    "plt.pie(vals.sum(axis=1), radius=1, wedgeprops=dict(width=0.3, edgecolor='w'))\n",
    "plt.pie(vals.flatten(), radius=1-0.3, autopct='%1.1f%%',  wedgeprops=dict(width=0.5, edgecolor='w'))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Coordenadas Polares: Polar"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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0JUyfUgqDweAUNI1GA4vFgqioKMTHx0MulyM6OnpdCPXFixcxMjKCkpISt5CB8fFxXHPNNVMjIyM/npqaemrterh2BEXFBUJIWFJS0om7775796OPPhrleoceHx/H+fPnUVxc7DEBUKBgs9kwMTEBhUKB6elpxMXFQSaTISEhwWcB8QRXa38cQuNI3D07O4vExETI5XIkJCQE9NqoiYkJtLW1obCwEPHx8c79JpMJn/nMZ7SVlZVvzK0duqwusqCozEEIiZBKpe9///vf33nfffc5K3JRSnHhwgVMTU2huLg4IO0CJpMJSqUSCoUCRqMRSUlJzouSr7s+XwsKGYZxiuLU1BRiY2Mhl8shlUp5qbToLwaDAY2NjcjJyUFaWppzP8uy+OIXv6g7fvz4P1Qq1Z2UUnYNu7mqBEUF9gLmSUlJ5Y8++uj2L3zhC85Jvs1mw9mzZxEREYEtW7YE1F2TUgqVSoWBgQGYzWakpKQ4pw+rwWqsUqaUQqvVOpN9x8XFITMzc00SfS+F1WpFc3MzYmJisHnzZmffKKW477779G+88cYJtVp9K71McrRc9qJCCIlJSkqq/OUvf5l/++23O4chFosFdXV1yMjIgKuhdq0xm80YGBjA2NgYJBIJMjMzsVRNIL5Y7dQHlFJMTk5icHAQMzMzSE9PR0ZGRsB43ii1FzfT6/UoLi52GnAppXjggQdmXn755dNKpfLjlFLbGneVdy5rUSGERMlkstovf/nLW7/3ve8RhyfCbDajtrYW+fn5AWOQ1Wq16Ovrg16vx4YNG5CamrqmF9Ra5lOxWCwYHBzEyMgIkpKSkJWVhagon5ficEp/fz9UKhVKSkqcwqLT6XD//fcz//rXv95TKpUfu9RHLIEh82sAISQiKSnp9C9+8YtN11xzDamtrcXevXvBsizq6+uxZcsWJCUlrXU3odVq0dXVBUIIsrOzkZiYGFBD/7UgNDQUubm5yMnJgUKhwNmzZxEZGYn8/Pw1L12SnZ0NoVCIuro67N69G7Ozs2hqasKTTz4plEgkV7z00kuvEUJuuZRtLJelqMx5eU7+5Cc/2Xbbbbc5pzzV1fa4uB07dkAikaxZ/wC7AbC7uxtmsxmbN2928y4EsSMQCJCSkoLk5GSoVCo0NDRAIpEgNzd3TeNfMjMzIRAIUFVVBYZhsGvXLsTGxuLxxx+PNhqN1/75z39+iRDyuUvVK3TZiQohJCQpKenf//u//7vznnvucZ55MTExYBgGhJBVM3Z6wmw24/z589BoNMjPz0dSUtJlPzJZDkIIZDIZpFIpRkZGUF1djZSUFOTk5KzZFDEuLg5ms9kZWOjo59NPPx1jMpk+/vbbbz8H4Etr0jm+Wet1Aqu9SaXSl3/4wx8aqAsmk4mWl5fTiYkJqlQqaXl5OTWZFiz14RWLxUK7urpoWVkZHRkZCfhk2IG89sdms9G+vj566tQp2t/fTxlmQZYKXtFqtfTUqVNUq9XSoaEhWlVV5ZZClGEY+slPflITHx9/lAbANcH1tuYdWM0tPj7+q9dff/206wVrNptpeXk5ValUzn2rLSxKpXLNLgBfCWRRceAQ6tOnT9P5qT75wlVQHAwMDNCamhq339ZoNNLt27dPhoSEXEkD4NrgclvzDqzWJhQKD27dunVydnbW+cNaLBZaUVHhMV/GagiLxWKhZ8+epbW1tesu5eR6EBUHWq2WVlRU0K6uLl5F25OgOOjr66N1dXVuI9DR0VGampqqBJBFA+Aa4WoLnGguHiGEZMpksjffe++9hIgIe7AspRTNzc3Iysry6DaWSqXYvHkzamtrYTabOe+TSqVCZWUlJBIJdu/eHUw5ySOxsbHYv38/BAIBKisrodVyX+FUp9OhqakJxcXFiI2NXfB8dnY2YmJi0NXV5dyXkpKCv//971KpVPpfQkjgrv1YIZe8qMxFy/73b3/7m9Q1jLq7uxsxMTFuodXz4UNYrFYrWlpacPHiRZSWlnqsOxOEewQCATZt2oTCwkKcO3cO58+fB8ty49VdTlAc5OfnY2ZmBiMjI859JSUleOKJJ9KTkpKOE0IuievxkvgQi0EIEUil0n88/vjjmXv37nXuHx0dhU6nw+bNm5dtg0thmZycDI5O1hjHqIUQgsrKSszM+JeyxFtBAezen6KiIvT19WF6etq5/7Of/WzoZz/72eKkpKRf+NWZQGGt5198bomJiT+79957da5z2+npaVpeXr7iGjz+2lguXrxIKyoqqKtNZz2znmwqi6HRaGhZWdmCbG7espQNZSlmZmboqVOn3OxoNpuNHj58eComJuZWGgDXjj/bmneAry06OvqmAwcOTLm68oxGIy0rK6MzMzPUF3wRFoZhaGtrK21sbLwkKhM6uBREhVJ7OEFlZSXt7e1dkRvfV0FxoFar6ZkzZ9zOCa1WS3NycibgY5b+QNkuyekPISQzISHh2X/+85/xjvUXDMOgsbERW7du9XmdyEqnQhaLBbW1tYiIiEBRUZFblrAggUFYWBhKS0uh1+vR0tIChll+Wc5KpjyLkZiYiNTUVLS0tNjv7rBPzd577z2JTCZ725+6QmvNJScqhBAilUrfPHbsmMRRIJ1SinPnziElJcXv9TzeCotOp0N1dTWys7ORm5u77o2xlFIwDAOr1QqLxQJKKaxWKxiGcV4U6xWBQICCggKIxWLU1NTAZDIt+louBMVBVlYWRCIR+vr6nPs2btyIhx9+WCqTyZ71q/E15JJbpRwfH//1m2666ccvvPCC8xfv7++HTqdDQUEBZxe3SqVCV1cX9u7du2CdiUKhQHd3d8BniXOFZVnodDpn3lpPia+FQiEIISCEYHp6GmKx2Ck2wMLE15GRkRCLxesmRSQAqNVqdHR0oLCwEI6bkgMuBcUBy7KoqalBbm4upFIpALuAHzhwYKquru6TNpvtNCcHWkUuKVEhhGzIzMxs6OjoSHRMcWZmZtDU1IQDBw5wPv3wJCwjIyMYGBjA7t27AzJLHGA/afV6PaampqDVaqHVasGyLGJjYxEXF+eWBNufxNeOfLQGgwEikQhxcXEQi8VISEgImFQFnjAYDGhoaMCOHTuQkJAAgB9BcWAymVBTU4MDBw44s9sNDQ1h9+7dI0qlMp9SauD0gDxzyYjK3LSn4c033yw6ePAgAewXT1VVFbZu3crbKl9XYVEqlRgeHsaePXsCJnmQA4ZhMDk5ifHxcUxNTSEmJgYJCQkQi8WIjY1dcX9Xmk/FYrE4k11PTk7CZDKtStpLXzEajairq8O2bdsQGhrKm6A4GB4exsTEBHbu3Onc98ILL5gfeuihPyuVyjt4OShPXDKiEh8ff9+nP/3pHz3//PPOX72vrw9msxlbtmzh9dgqlQotLS2IiooKKEFhGAbj4+MYGxuDwWBwJpSWSCR+p8b0N0mTzWaDWq12JugWi8VITU2FVCoNGIExmUyorq4GwzDYs2cPb4IC2G+A9fX12LBhgzPCm1KKgwcPTtXU1HyKYZhy3g7OMYFx9vsJISQrMzPzf5988knnr+6IXDxw4ADvx3fUznEYLtdaVPR6PQYGBjAxMQG5XI78/HzExMQEzMUKACKRCMnJyUhOTgalFNPT0xgZGUFnZyeSk5ORmZkJx5KKtcJhkBYKhbBYLLweixCCgoIC1NTUICEhASEhISCE4PXXX08oKSl5lRCST9dLcbG19mn7uwEQSKXSpjNnzjiDDFiWpWfOnKFTU1OUb4aHh2lVVRW1Wq1rljaBUvtnHh8fp1VVVbS6upqOj4/zuniOrzgVm81Gh4aGaEVFBW1oaKCTk5O8HGc5XONQHPFNq9GX4eFh2tzc7LbvhRdeMMtkMrd6y4G8rXkH/N3i4+O/8eUvf9ktAqmnp4d2dHR4+Mm4ZWxsjJ45c8atMPtqCwvLslShUNDTp0/TlpYWqtPpln8TB6xG8Nvk5CStr6+nVVVVq3KDcOApsG12dpaWlZXR6elpXo/Nsiytq6tzWznPsiw9cODAlEAguIoGwDW33LbmHfCr80BCWlqaymD4IOeSTqej5eXlvEevOkK8PYX7r5awTE5O0srKStrU1ERdv4PVYDUjajUaDa2pqaH19fVUr9fzeqylImU9hdfzgdFopKdOnXI7t4aGhqhMJrsIQEgD4NpbalvXwW9SqfSnP/7xj8WOdH2UUrS2ti6occs1ZrMZZ8+exa5duzwWuOI7bYJer0d9fT16enqwfft2FBUVrXnCZz6Ji4vD3r17kZWVhbNnz6K1tXXJADVfWc5tHBUVhW3btqGxsdGryFtfCQ8PR25uLtrb25370tPTcfPNN0uio6Pv4u3AXLHWqubrBiAtJydH7ToiGRgYoO3t7UveBfyFYRhaWVnp1SI0rkcsDMPQ7u5uevr0aToxMcFJm76yVmt/WJalo6OjtKysjA4MDHCWdnMla3n6+vpoU1MTryk/WZaltbW1br/z1NQUlclkYwDCaQBcg4tt63akIpfLn3ryyScTXNf29Pf3Y9OmTbwdk1J7uL+jDOdycDli0el0qKysBCEEBw4cWPNs/2sFIQQpKSnYv38/NBoN6urqYDQa/WpzpYFtWVlZEAgE6O/v9+u4S0EIwZYtW9DV1eW4iSI+Ph5f/epX4+Lj4+/n7cAcsC5FhRCyWSaTHf7oRz/q7H9/fz/S09N5rbd78eJFUEqRnZ3t9Xv8FRaWZXH+/Hm0tLSgsLAQmzZtCqjyq2tFSEgICgoKkJOTg9raWgwNDTkvvpXgS6QsIQQ7duyAQqGASqVa8TG9JSYmBlFRUVAqlc59999/f2RERMR9hJDVL0vpJevy7JTL5c89++yzEkfchcViwcjICLKysng7plqtxtjYGHbs2LHieA9fhWV2dhZVVVUAgAMHDvAafLVeSUpKwoEDBzA9PY36+npYrVav3+tP6L1AIMCuXbvQ2dnpd6KnpcjPz8f58+edghkZGYkHH3xQnJSU9AhvB/WTdScqhJC9+fn52/bv3+/c19PT46wMxwdmsxnt7e3YtWuXz8dYqbBMTk6irq4OW7duRV5eXnB0sgSOUUtaWhqqq6u9usi5WMsTFhaGnTt3orm5mbPUlPOJiIhAYmIihoeHnfvuvvvu0KioqM8QQpJ5OaifrKszlRBCZDLZ87/5zW+cBgWj0YiJiQlkZGTwdty2tjbk5+f7nf7RW2EZHBxER0cH9u7d61zQFmR5UlNTUVBQgIaGhiWnJVwuDoyLi4NcLkdPT49f7SxFbm4u+vr6nB4nkUiEX/ziF/EymeyXhJAXCSEqQki7p/cSO78mhPQSQs4RQop46+gc60pURCLRtQcOHMjYtm2bc9/58+exadMm3kLQx8bGQAhBcjI3N4WlhIVlWbS1tUGtVmPfvn1rHqa+HhGLxSgtLcWFCxfQ19e3wM7Cx2rjjRs3QqVS8ZKlH7DXjk5NTcXAwIBz36c+9SmhRCL5MID/AvjIEm+/FkDu3PYFAM/x0kkX1o2oEEKIRCJ56oknnnAuN9br9ZiZmYFcLuflmI4SpNu3b+e0XU/CwjAM6uvrERYWhuLi4jVfP7SeCQ8PR2lpKXQ6Hdra2pzCwlf6AkeSp9bWVt6mQdnZ2RgaGnLajAgh+PWvfy1JTk7+DICpJd76MQDH5rzStQDEfE+b1o2oADhQWloqyczMdO7o6urC5s2beRulOKY9fORFcRUWg8GAuro6JCcn8zrqupwQCoUoLCyESCRCS0sLtFotr+kLYmNjIZfLceHCBc7bBuxTnqysLPT29jr3XXXVVSQuLm43gKXSGaYCGHZ5PDK3jzfWjaikpKT86H//93+dBgadTgeGYXiL1+B62uMJqVSKTZs2oby83LkyNwh3EEKwefNmCAQCVFVVoaioiFcP2saNG6FWq3mbBmVkZECpVLqNVr73ve/Fi8XiL/JyQB9ZF6JCCMlMTEzcWlxc7NzX39+PnJwcXo7H17RnPjabDf39/cjKysLQ0BAvIf2XO44Md6mpqejv7/cplsVb+J4GCQQCpKenY2hoyLnv5ptvFoWGhn4MwGLD21EA6S6P0+b28ca6EBWZTPa9H/zgB84hidlshkaj8TuJ9WI4jL98poNkWRYNDQ1IT0/Hli1beF0rxAWUUmeKSL1eD4ZhYDAYnDlHAhFXG8qOHTsQGhrqZmPhg9jYWEilUgwODvLSfkZGhlugX1hYGG644YZIAOJF3nIcwO1zXqC9ALSU0nFeOjdHwGd+I4REpKamDgwMDEgdxssLFy4gNDQUGzZs4Px4BoMBTU1NOHjwIK+2jdbWVkRFRWHjxo3OfUsl014tzGazM+2jRqOB0Wh0O4FFIhEIIVCpVEhMTITVanUOxwUCAaKiopy5aOPi4niNcF4KT0ZZSilaWloQFxe3oqjolWK1WlFZWYmDBw/yYnBva2tDYmIikpOTccstt+DkyZNQq9WAfQTyQwAhAEApfZ7YT+JnYPcQzQK4k1LayHmnXFnrxUfLbeHh4Z974IEHnNW/GIahp06dcsthwiWNjY0+V6zzlv7+/kUXpK12PhaGYahKpaLnzp2jZWVltLKykra3t9Ph4WGq1+sXTfTkaUGhzWajWq2WDg4O0tbWVlpRUUHLy8tpZ2cnnZqa4nUBnitLLQ602Wz0zJkzvP/Gvb29tLu72+NzJ06coJs2baI5OTn0scceW/D84OAgPXz4MC0sLKTbt2+n77zzjtvzer2eVlZWuu275ppr1ACKaQBcs2vegeW25OTk9sHBQeeXNzo6Stva2hb8EFyg0WhoVVUVL207UKlUCyrTzYdvYWFZlk5MTNCmpiZ66tQp2tLSQpVK5Ypy0Hi7StlisdDR0VHa2NhIT548SVtbW32u6ucN3qw2duQr4TM3i81mo6dOnaJms3nB/uzsbNrX10fNZjPdsWPHgoRi99xzD/3tb39LKaW0o6ODZmZmLmi/pqbGLSHXf/7zH5qcnPxnGgDXbEAHQxBC8vft2yd1jZYdHByEa/Abl3R2dnpVtN1XDAYD2tvbUVpaumS4v2MFdG1tLadTIYZhMDw8jMHBQcTExCAzM5P3TPYhISFISUlBSkoKWJZ1TvGsViuysrKQkpLC2fG9jUMJDw/Hzp070dTUhH379vEyRRMKhdi4cSMuXLjgdr7W19dj48aNzunXzTffjLffftstOTshBDqdDgCg1WqRkpKyoP3MzEy3a+Hqq6+GSCS6khASTdc4l21AG2plMtn93/rWt5wG2tnZWbAsy0uBromJCYhEIt5KeTjKrhYWFnoV7s9l2gSWZTEwMICKigqYzWbs3bsXRUVFkEgkqxoTIxAIIJfLsWfPHhQVFWF6ehoVFRUYHx+3D5v9YKWBbWKxGBs3bkRzc7Pfx16MtLQ0TE5OYnZ21rlvdHQU6enpbq8ZHXV3xjz88MN49dVXkZaWhiNHjuA3v/nNgrZlMhnUarVbIbfPf/7zUZGRkbfy8mFWQMCKCiFESAi5/rrrrnP2cWhoiJc1PpRSZyAdX3R3dyMtLW1FouWvsFBKMTY2hoqKChiNRhw4cAB5eXlrZgR2JTIyEtu2bcPu3buhVCpRVVWFyclJn9ryNVI2NTUVYWFhbov1uIQQgry8PHR3d6/ofa+//jo+97nPYWRkBO+++y5uu+22BS5qgUAAmUwGhULh3HfPPfdExsXF3cdJ5/0gYEUFwJ4rrrhC5BiaUkoxPj7ucSjoL2q1GtHR0YiOjua8bQCYmpqCRqPxyePgq7AYjUbU19dDqVRi79692Lx585p5YpYiIiIChYWFKCgoQE9PD1pbW1ctfQEAbN26FX19fX4neloMmUyG2dlZGAz2IoOpqaluIjYyMoLUVPcA1z/+8Y+46aabAAClpaUwmUyYmJhY0LZjCuQgJSUFCQkJSYQQfmItvCRgRUUmk33m1ltvdU59pqenERcXx0t6Az4D6RiGwblz51BYWOjzVGMlwkIpxfDwMGpra5GVlYWdO3f6vbp6NYiJicGePXsQHx+Pqqoqh4t0SbhYyxMSEoJt27ahtbWVl2kQIQTZ2dm4ePEiAKCkpAQ9PT24ePEiLBYL3njjDVx//fVu78nIyMDJkycB2JeiOKo5zicqKgoMw7jVJLr55pujQ0NDr+P8g6yEtbYUL7bJ5fJB1wzxHR0ddHR0dIEV3F90Oh2vHp/29nba19fHSVvLeYWsVittaGigzc3NHrP8cwmfOWpnZ2dpdXU17ejoWNQNvZKcst7Q0tJCXb2MXDI/DOKdd96hubm5NDs7mz766KOUUkoffPBB+vbbb1NK7ef6vn376I4dO2hBQQH997//vWjb58+fp0NDQ87HHR0dNC0t7TRdw2t3zcXDY6eAjQcOHFC5fnnl5eW8xKa0trbS8fFxztul1J6ouLKyktP4jMWEZXZ2lp4+fZoODAxwdqyl4DvxNcuytLOzk9bW1i4QSK4FhVK763up8hvLxZZQSumf//xnunnzZrplyxZ6yy23uD134cIF2t/fz1l/HWi1WlpfX+98zLIsTUtLUwEIo2t0/QakSzkuLu6Gz372s06LpsFgQGhoKOfRiTabDZOTk7ys8aGUorOzE9u3b+fUw+LJ3Tw1NYXW1lbs2LHDbYFlzXANygfKcXjDYQBA+UA5JJESTM5Oetzn+lxpeilnffYFx2LA0dFRVFdXY9euXYiKiuItfUFISAjy8vJw/vx5FBQUuD3HMAzuvfde/Pe//0VaWhpKSkpw/fXXu7mBe3p68Nhjj6Gqqgrx8fELkkRlZmaipqYGGzZs4PR8iImJwczMDFiWhUAgACEER44cCfnd7353GMC/OTvQCghIUYmKirr1+uuvd/ZNoVDwkjNldHSU0zgJV1QqFSIiInhZFesqLLm5ubhw4QL27t3rTOpUM1yDY63H8GLLi2BYBiKBCBQUNtYGlrIQQIAQYYjbPgICCup87s7CO7Ezeeeai0xqaiqioqJQX1+P/Px8dHd385a+IDk5GX19fZiZmXEz2nsTW/L73/8e9957r9O7N7/aQmhoKKKjozE9Pc1pNj9CCCQSCSYmJpzHvPnmm8X/+te/7kBQVOwQQuLz8/PlrikHFAoFioq4z4I3NDSEXbt2cd4upRTd3d0oKSnhvG0HUqkUWq0Wzc3NOHToEFomWpyjjqPvHYXJZgKF3fDIMnZ3pPMxWFgYi9s+1+fMjBkvNL2wQGRuL7h9TcRFLBYjPz8fjY2N2LVrF2/pCxyjo66uLrffzlNsSV1dndt7HXlU9u/fD4Zh8PDDD+MjH3FPyObw1nCdIlQul0OhUDhF5cCBA2AY5kpCCKGUrvrivoATlZCQkCM33XRTlOOx1WoFwzCcp1bU6XQIDQ3lJWXjyMgIJBIJr1UDJycnMTY2BjaFxW1v3Ib3VO+BYRkIiAAMyzhFgoAgVBjq9UjFgSeReanlJae4rCY6nQ7d3d3YtWsXuru7ERsbi6ioqOXf6AOJiYno6emBRqOBWCz2+n02mw09PT0oLy/HyMgIDh06hLa2Nrc2JBIJ2tvbYbVaOXXvJyYmoqOjA5RSEEIQEhKCXbt2id55550CAC2cHchLAk5UpFLpnZ/61KecV6NSqfSqcNdKGRsbQ1paGuftsiyLvr4+7Nu3j/O2HZzqOYXXq19H4aZCfPvEt91GJRTUPremBCKByE0EvLGpnB0/ixdbXnSKjQMK6iYuH5Z+GGE5YbyPXObbUCIiItDY2MhbeD0AbNmyBR0dHc7f0JvYkrS0NOzZswchISHIysrCpk2b0NPT4zbiIYRALpdDpVIteL8/CAQCREdHQ6fTIS7OXg7oM5/5jKS2tvZmrIGoBFTqA0KIMDU1dWx4eFjqsHM0NTUhJydnRXcNb6ioqEBpaSnnJ+bg4CCMRiPy8/M5bRew20pebnkZL519CSxY56iEhf3iJyAIF4XjqY885ZctxGHgdRUZK2N1G8kAQIggBM8ceQZfKP4CJ59vPosZZUdHRzEyMoLdu3fztsygoaEBOTk5SEhIgM1mw6ZNm3Dy5EmkpqaipKQEr732GrZu3ep8/XvvvYfXX38dr7zyCiYmJrBz5060tLQsyEyo0WjQ19cH14RjXDA8PIzZ2Vnk5eU5j7Nly5aesbEx/kp2LkKgjVTyduzYQRwnCqUUWq3Wqb5cYTQaIRKJOBcUSikGBgawZ88eTtsF7Bf61ceuXnJU8um8T2NP2B7cse0Ov0LxS9NL3cTo9oLbnYZfV3GxslZ85Z2v4Oz4Wc7tLUt5eVJTU6HT6dDV1eVmLOWSnJwc9Pf3IyEhASKRCM888wyuueYaMAyDu+66C1u3bsVDDz2EXbt24frrr8c111yD//znP9iyZQuEQiF+8YtfeEx1GhcXB51O5/TWcIVMJkNdXZ1TVMRiMSIiIsSEkDBK6epm/lorX7anjRBy22OPPeYMwNDpdG4+eK7o7+/nLCDNFbVaTZuamjhvt3qomn742IcpeZhQPAyKh0HJw4RGPBpBX2h8gf604qe0eqiaUspv2oTqoWr6pX9+iQofETr74ehLyI9C6AuNL3ByHG/iUFiWpdXV1VSlUnl83pu4EkopffPNNykA2tDQsKD9iooKOjs769uHWIKWlhaqVqs5b7esrMwt/82nPvUpNYBddJWv44AK009JSfnQnj17nLdYrVbL+bQH4M9FffHiRc5LrzpGKO/3v+/0xoQJw/DF4i/i5O0n8YXiL+CBgw84Rwlcrm6eT2l6KZ677jn89n9+CyH5YLkEBYWVteLed+9FzXCNX8fwNg6FEILCwkJ0dHTAZrO5PeeIKzlx4gQ6Ozvx+uuvo7Ozc0Eber0eTz/9tMeRJSFkwdoarnB4a7gmNjYWer3e+fiKK64Qh4SEcO/eXIaAEhWWZXfv3LnT+Vij0XA+9bHZbLBYLJx7ZsxmM4xGI2ciWDNcg8fOPIZjrcdgYSx2GwoE+FD2h1B2Rxmeu+65RacbfAoLAHyh+At4uuBpfKn4S27iYmNtONZ6zOd2VxrYFhERgaysLHR0dLjtd40rCQ0NdcaVzOfBBx/Ed7/73UXXRqWkpHCSlmE+iYmJmJiY4LzduLg4aDQa5+OSkhKRTCa7mtODeEHAiAohRCgSiRJcL0o+RioqlYoXb9Lw8DDS09M5MRw6RicPlj2Il1pegpAIIYQQYaIwPHz4Ya9sF1wLC6UURqMRGo0GU1NTyIvKw+MHH8evr/m1m7D8vvn3+F3T71bcvq+RshkZGTAajW5pE7zJWdLc3Izh4WH8z//8z6Jti0QiSCSSJUuo+oJQKERkZCTnhd3FYrGbqOzYsQM2m433MqfzCSRD7SbXfCaUUlgsFs4z2iuVSl7q64yPj3NioK0ZrsHD5Q/DbDPbvToscER+BLvzduPq7KtXZAz1J4McpRRqtRqTk5PQaDQwmUwIDw9HeHg4hEIhrFYr+vv7UWArwBHZEfxT8U8AAEMZ3Pvuvdgu3e51X/0JvSeEYOvWrWhtbcX+/fu9EnWWZXH//ffj5ZdfXva1aWlpGBgYgEwmW1G/lkMmk0GpVHKacCwuLs5t1BYZGYnw8PAYQkgopdSyxFs5JWBEhRBSfMUVVzjPKIPBwEuAEx+jH5PJBIFA4LcAOkYoZsbsnO6ECEJw247bcOPeG31qc6XCYjabcfHiRYyPjyMhIQFSqRQbNmxAeHi42wU7NTUFx1T1e+nfw4lXTsDG2m0bNtaGZ848g5KbSpZdr8XFWp6YmBhER0dDoVAgOTl52bgSvV6P9vZ2HD58GIDdxnb99dfj+PHjCyKs4+Pj0dLS4gws4wqJROLRzuMPIpEILMu6eZZ27txJBgYGtgFo5vRgSxAw05/k5OSr9+zZ45zcrjSi0RtsNhuEQiGnrjzAPvrx907mNkKh9hiUq7Kuwi+2/wKfLPmkX217MxViGAZdXV2oqalBREQEDh06hIKCAiQnJyMiImLJC2pfxj48e+RZt2nQn3v+jO/+5bu4ePHiorYDLhcH5uXl4cKFC6CULpuzJC4uDhMTExgYGMDAwAD27t3rUVAA+0goPj4e09PTfvVvPlFRUc7ETVwSExMz31gbFxISwt96EQ8EjKhQSve4ru/hQ1S0Wi0v60b89SY5PTwX33eOUMKEYfh8zudxXcF1nCSmWkpYNBoNKisrERoaiiuuuAKZmZkrPuYXir+Ae4ruAZkrlMeAwdO9T6NqqAo1NTVueVoB7oulR0REQCKRYHx83C2uZPPmzbjpppuccSXHjx9fcdt8eGsIIQgNDXVLsMQF8+0qJSUlIVKpdFWNtQEhKoQQgVAoTHTN38rHNIUPoWIYBkaj0a9UlOUD5XYPz9wI5UPZH8J/b/svZBaZm8HRX+YLC6UU58+fR3t7O4qLi5GTk+PXEP/2gtshIB+cUgxlUKWvQl5eHurr653lOhcTlPfeew95eXnYuHEjHn/88QXtP/nkk9iyZQt27NiBq6++eoG7NysrC/39/QCAI0eO4MKFC+jr68MPfvADAMCPfvSjBVnWAKC8vHzJhaVJSUmcG2uBhd4aLpgvKoWFhWAYZlWNtQEhKgBSMjIynAtN+DLS8iEqarXar/KrNcM1GNIOQSgQQkiECBPaPTwbhBsgk8k4T5/pEJaamho0NzfDarVi//79nOTnLU0vxUc3fdRtn2JGAYlEggMHDmB8fBzt7e0eBcWb2JKdO3eisbER586dww033IDvfOc7bs9HRUUhJCTEWd6CK0QiEcLDwzmfrswXAC5wROw6iIyMhEgk4r78xBIEiqgkZ2ZmOq8em83Gy2IxvV7PeXmPqakpj+HY3uCY9vy++fcgILin6B6cvP0kStNLMTg4yIuXCrDfeUNDQzExMYGNGzdyaoD8zv7vIETwwW/3Ts87qBmugUgkQl5eHgYHB5GUlLRgyuNNbMmVV17pjC/au3cvRkZGFhyfr4A1iUSCqakpTtsUi8XQarWctikSiZxlOxzExsaCEMLPsm4PBJKoOI20Dvcll9hsNggEAs6NtL6OflwNswxlYGNtyIjLQGl6KcxmMxiG4W15f1dXF+Li4lBYWIi6ujpOA+RK00vxP7kfxH5YWSuOtR6DTqfD2bNnsX//fhgMBudUyIE3sSWu/PGPf8S11167YL9UKoVareY8sIyPUUVUVBTnsSoOXD//nOcredEXc0xAiIpIJErJzMx0hrjyISquy8K5glIKs9m84r56MsyGCkOd6Qi48CYtxsTEBLRaLbZs2QKZTMZL5K082t1obbaYnVMesViM4uJi9Pf3LzDeesurr76KxsZGfPvb317wnEAg4MVWERcXx/mowpH7hGtjbVhYmNvvmZGRIcLlJioJCQm5KSkpzr7wISp8xL0YjUafkjx5Msw6pj0Af2uTbDYb2tvbUVBQ4Jzy8BHSvzN5p9vjeFO8mw1FJBJh+/btzvgPwLucJQDw/vvv4yc/+QmOHz++aMwNH96a0NBQWK1WzkdAUVFRPovrYoSHh8NkMjkfb9iwIQIA9wWzFiEgRCUsLGyDa5Ews9nMeRU9Ptr0deojibSXG3W4jl1D7xmGgcFg4KW0a2dnJ7Kyshase+JaWM6On3V7rAnXLLChSCQSxMbGYmBgAIB39XDOnj2LL37xizh+/PiSSy2kUikv3pro6GjOpyvzRxV8tJmRkRERERHBnRtxGQJCVCilaa45afkYqfDRpi+5XmqGa3D0vaNgKQuhQIinPvKUWzi7TqeDWCzmPPnQzMwMdDrdomVjuRQWxYz7KGHK4tnAmZ+fj4GBAdhsNq9iS7797W9jZmYGN954IwoLCz26hwF7ZnyBQLCiSofewIddZf6ogo82k5OTIRaLN3J6kCUIiDB9m80mdbUhrBdRMRgMK05J6Tr1ISCYnHWvH8yH2xsA+vr6lvX0+LNWyJX4UPd60fNtLA5EIhHS0tIwNDSE7OxsHDlyBEeOHHF7zY9+9CPn/++//77XfXDYQBITE1fQ86WJiopyi1blgvDwcN7bTE5ORkhICD+uRA8ExEhFKBSGua4R4UMAfDGoct3m/JgUV+OsAz4y3dlsNkxPT3tl/PV3xKLT6WCcdq9LPN/G4sqGDRswNDTESxoArg2rqzGq4KPN5ORkMAzDXVLcZVhzUSGECENDQ91GTI7hMJdYrdY1bXOpmBRX+BCVsbExJCcnez2l8lVYdDodjpUdw19H/+rc52k05kpISAiio6N5jyzlAj7sH+Hh4by06Soqc3l245d4C6esuagASExKSmLn7+QjofFatumY9syPSZkPpZTzKFq1Wr1ib9JKhcURev9v/b/B0A+CrwREsGA0Np/k5GSvCrKvhOjoaM4jYPkYVYSFhfHSputvNue65qf0gAcCQVQio6OjnVcm18Ng4IPVyWvZpqvHx9O0x5c2vcXXSGJvhcUhKEwyg3f73nV77qObPrpsXhU+4kqEQiFYdsG96rJtUygU8lN2wAPLigoh5EVCiIoQ0u6yr5AQUksIaSGENBJCds/tJ4SQXxNCegkh5wghRS7v+QYhpJkQ8ul5hxDNF1GuRxR8hP2vxO6znMfHAR9ub6vV6le6h+WExVVQ7jt5n7NcCAAIIMB39n9nwXvmw1caAICfmxQfbfINWcFFRQj5CCHk/Nx1/L25fVsJITWEkFcIIUueTN6caS8D+Mi8fT8H8AiltBDAQ3OPAeBaALlz2xcAPDfXoWgAJQB2A7h1XltuosKyLOeiwnWCHWBldh9Xjw9L2UVtDHxFEvubWmAxYXHYUJ4YeQLX/PkadE64LwC8Pu96r7K/OdIAcG1bCAkJ4dytLBAIOB9ZrBLEG2EhhAgBPAv7tbwFwC2EkC0A7gdwPYBGAB9eqo1lrwpKaQUhZMP83QAcZ2ocgLG5/z8G4Bi1S3ktIURMCEkGMOPyvgV9CAkJcZv+cL0+hy+h8rafzqkPXXzqA4DzcpiAPeqXiyTfru5mpANPnH8Cg2cH0aHrcBudOBASoVejFAeRkZEwmUycjtQcosLlaneBQLAuRypz02oBAGaZl+4G0Esp7QcAQsgbsF/XQtivXxbAkheTr+6QowD+TQj55VxHHTU+UwEMu7xuBEAqpbSRENIGu8r9Yn4fRCKRm6ispQCspE1v+unt1IevfjIMw5mdRiqVokHRgE+8+glY6eIjACER4rf/89sV5dOdmZmB0Wjk1POl1Wo5H6lMT0+DYRhOPYlcu749tdnX15cIIBzAcvNMT9fwHgBPA3gHQA+A55dqwNdv5ssAvkEp/Rsh5CYAfwTwoaXeQCl9DMBjHp4is7Oz0eXl5Y7XwWAwwPGYCxiGgdls5rRNm80Gq9W67HL4Pw396YMk1hRo6GjAJr3nSpSOYvTj4+Oc9dNisYBSumBVsK+8NfAWbNTm8TkCgv2S/bg5/WZs0m9a0fet1+tx7tw5dHd3c9JPAJidnUVjYyOnAsCyLKqqqjgXfy7PzSXa9PnuQik9C7u4LIuv3/YdAO6b+/+vAP4w9/8oANc1Bmlz+5bCFhYWpj98+HA4YL+w6urqcODAAR+7thCDwYDOzk63Ytn+MjU1heHhYRQUFCz5ugtNF/Dy4MsAC4SJwnDXlXctegdXKBSYnp6Ga1UBfxkZGYHJZMLGjf5Haet0OrRr2/HqyKuwMB+srBVAgOvzr8d39n3H59KnZ8+eRXZ2Nqcjlfr6emzdupXThaSVlZXYu3cvp0JVXl7uTMLNV5sbN25U9/b2erNy0Zdr2A1fv5kxAFcAKAdwFexDIgA4DuCrc/OwPQC0lNLlbrs216XffMxZ+TCuedPPlUx9AHvY+vxqe/4SGhrKibvW4eW546o7UFxUjMdOPAZbmA0h5hDc/6H7cUX2FX61bzKZOM/0x0cQJR/T89WAYRiC5e0pANAAIJcQkgW7mNyMhc6VJVn2GyeEvA7gMIBEQsgIgB8CuAfA04QQEQAT7J4eAHgXwBEAvQBmAdzpRR9sVqvVeXUSQjgXAEII50IlFAqXFYDl1vnMh4+ITbFYjAsXLvjVhkNQdu3ahZiYGJTGlOL+Tffj8OHDUKlU6OrqgjnVd3c4pZQXzxcfKUkZhuF86rMasCwL6sVFQCm1EUK+CuDfsE+XXqSUdizzNje88f7csshTxR5eSwHcu5IOALC6GtPWSgBWijfRlYc3HEaoMBQWxrKk12clba4U1zwgvtxh5wvKfLhYhOgQlEstijqQ8EZQXF77LuwDBJ8IhFXKZqPR6DZS4Ro+phXetnlHwR0A7Jnml7M3hISEcN5P4IPgspUmt15OUBz4Kyx8rMzmI4xgPbRZM1yDsotlEOvEOIzDzv2U0lULrgkEUVGr1Wpex5NrcbdyLCB0jFJuL7jd67ZdK8xxQWJiIlQq1YpExVtBceCPsKhUKrjm0+GC2dlZTuJzXOFrpTtXsTmu55yIiLBz506UppeCUgqr1cr93WoR1nxySCm1Go1GNwMSH9OV1W7TdQGhhbGgfKDcqzbnV5jjgtTUVI+Z5xdjpYLiwJfVzQzDYGpqyq8yJ57QaDScr/bmOjjP0SZXQjV/0arjnNPpdBAIBNzWLVmCNRcVAGAYxuJaVmC95q1wxZsFhJ7ga8l+ZGSkVyUmfBUUBysVlpGREaSkpHA+muRjShXoycMcNjwhESJEGOI85+aqNo4t/W7uCAhREQqFExMTE87HfOWt4FpUIiMjPSYtXqkr2RU+RAUAcnJy0Nvbu+Rr/BUUB94KC6UUFy9exIYNG3w+1mLwUeFydnbWp0TnS8GlqJSml+Lk7Sdx/8778eqHX3Wec+Pj47DZbNwXQ1qEgBAVgUAw6hpFylfeCq6FarEl+94uIFxJm/7iKCmrVCo9Ps+VoDjwRlj6+vogk8k4n1IwDMP5mh+An9EP1yvTS9NLcVfuXdiXvs+5b3x8HHq9vo+zgyxDQIiK1WodGBv7YHS2XqY/i6UsdB2GrmTqA9i9SiEhIZyXbQCAHTt2oLOzc8F6GK4FxcFSwqLX6zE6Ooq8vDzOjudgYmLC56qRS8FHhUsuRyo1wzV47MxjqBurc2tzeHjYrNfrV22kEgjeH0xNTfWMjY1RzK1+5CMZcEREBOcLtxYr2VCaXoqnPvIU/tb5N3xqy6dWHLruqFuTnZ3NVVcB2L/XTZs2oa2tDUVF9lQ3fAmKA09eIUopWltbUVBQwEsgmUKhgGvJFy7gq8IlV1Oq+Z6fzIxMHI4/DAAYGBiYxQeZBHgnIEYqFotldGhoyHlrXs1RhT8sVmHOYVM5efEkjr53FDXDNStql49iWA5SUlLAsiwGBgZ4FxQHriMWk8mEjo4OJCUl8VI1gFLqV33rxeAjd7CvFS494er5sbJWVI9VO58bHBy0AuBuleoyBISoABgfHBx0qggfeTtDQ0Nhs9lWpcaur+5kB5GRkWAYhvPvALAL4c6dOzE0NITa2lreBcWBVCpFfn4+ysvLYTabsWmT55Xa/jI1NYW4uLiAqZm9FL5WuPSEm+dHEIIrs650PjdXk3rVRCUgpj+wi4rTpxwaGsp5fVngg4LYXF5E8fHxmJqacquYt9LwfE+kp6djeHgYubm5nPXVgcFggM1mQ3h4OCYnJ1dFVCilmJiYQFxcHPR6PSwWC+cGWgAYHBxEZib3JW6mp6c5F0Iuhcrh+Tl18RTiNfFuU+65m97lFacCYHRgYMAZqEAIgUgk4qXCHNdToKSkpAUlNh02lauzrl6RO9kVR8Aa1yMrx5SnpKQE+/fvx8TEBJqbmzn/rl2ZnZ1FbW0tCCHYu3cvtmzZwnlReMDuSdHr9UhISOC0XZZleTHScj2lKk0vxVe2f8XtfLNYLLBYLKaVrP3xl4AQFUqp1Ww261yTH/NhA+HDXRsaGgqhUAij8YMCWv7aVAD7OqDExEROEzbNt6EIhUIUFxdDJpOhsrJyUXezr1BKMTAwgPr6emzatAlbtmwBIYSXovAAMDAwgMzMTM4D6SYnJyGRSAI2QM/h9akZrlnQZnt7O0QiUZvfB1kBASEqACAUCptaWlqcj/kQFT5GKoDdsOp6QfprU3GQk5ODnp4eTkYrixllCSFITU3Fvn37MDQ0hPr6eq8ib5eCUgqFQoGqqirodDocOHBggeGUa2GxWq0YGxtDejr3dcgVCsWK6yYtB1fpHhxenwfLHsTVx65GxcUKt9FPY2MjMzU1ddLf/q6EgBEVpVL5fn19vXMMzkdkqcNWw/VIcL63xp84FVciIyMhkUhWtG7HE954ecLCwlBSUoLc3Fz09/ejoqIC/f39mJmZ8er7YlkWWq0W58+fx+nTp6FUKlFYWIgdO3YsmiiJS2Hp6elBdnY253WTHLYgrr1JJpMJERERfo9+5t/Aqkaq3ESloqJCMzs7W+dvf1dCoBhqYbPZGisqKjTf+MY3kgB+Fta5tutv2QpXoqKiYDKZnJnG/I1TcSU3NxfV1dVITU31yaOxUrdxfHw8du3aBbPZjNHRUXR2dsJgMCAkJARisRjh4eEQCAQwm83o6enB7OwstFotWJZFTEwMkpKScODAAa8zrnGVj0WlUuHQoUMrfu9y6PV6REdHcy5WU1NTnEx95jsFCsWFbn1taGhgALT4faAVEDCiAqDDdfrjCDTiOiWgVCqFQqHgVFQAQCaTQaFQIC0tzWlTsTAWnBk6g+3S7T4LS1hYGFJSUtDf37/iPLP+xKGEhYUhOzvbGYBnsVig0WhgsVjAMAwIIYiIiEBCQgK2bt3q12/kr7B0dXVh06ZNvATSjY6Ocp6WAQBnwY0Or0/5QDmKE4uRZPpgtbfVaoVOpzNRSrkPz16CgJn+UEotZrNZ5xqezoddRSaTLfDWcEFGRgYGB+2R0FzZVBxs3LgRo6OjHqN3F4PrwLbQ0FBIpVKkpaUhMzMToaGhSEtLg0Qi4UT0fZ0KqVQqWCwWXi58lmWhUCg4b5tlWeh0Ok7dyQ8cfACbIja5TX06OjoQEhLSvsRbeSFgRAUAhELh2dbWVudjvtIAAODcnRkVFQWBQICZmRnnkFQAAQghkET6Nx8XCoXYsWMHWlpavLJvrFakLNesVFisVis6OjpQUFDASyIulUqFxMREzqc+09PTiI+P96vPrh4fB/M9P42NjezU1FSZP331hYASFaVS+X5DQwOvxlrgg6kK12RmZmJgYMBpUxEKhGAp67Nb2ZX4+HgkJCSgr2/pxabrVVAcrERY2tvbsXHjRs5znDjgKy2Dv96k+R4fx7k1v8RtRUXFtMFgqPW7wyskoETFarU2nD592jnfiYmJgU7HfSAgX2trkpOToVarYbVaMTk76Ux9wMUUCADy8vIwPj4O19wzrqx3QXHgjbAMDg6CYRikpaXx0geHk4CP71GtVvuV6c7T9NqxBMV1KlpfX89ilY20QICJCoD2pqYm5/heIBAgMjJyRbYEb4iOjobRaIRrtjkuIIQ4w+u5ciu7IhQKsWvXLrS1tS1IjXCpCIqDpYRlcnISg4ODKCws5C2zfX9/P+erxAG7WEVERPg1pfJ0bqnVaiQmJjpfYzQaodVqZyml3F48XhBQokIptdhstouuQ3w+RhWEECQmJi56x/eHzMxMDA4OoiS5BCdvP4l7iu5xZtTngoiICBQWFqKhocGZH/dSExQHnoRldnYW586dQ0lJCeeFwhw43OSu67m4QqlU+h1I5/D4/PjKH+Pk7SdRml66wKB88uRJUErf87e/vhBQogIA09PTr/zjH/9w3ppkMhnn4eOAfaoyt3qTU0JCQpCeno6LFy8CAF5pfQW/b/6929zXX+Lj45GTk4P6+npMT09fkoLiwFVYdDod6uvrUVBQwHlaR1e6u7uRl5fHyyhobGyMk+hch8fHkS1fo9E4s/sBwGuvvTalVCr/5PeBfCDgRGV2dvYfr732mtOuEh4eDpZlOV+1nJCQAJ1Ox8tCuqysLIyMjOBk30lOXcuuONy51dXV2Llz5yUpKA6kUilycnJQUVGBTZs2cb5g0BWdTgej0cjLKEWr1SI8PNzn1dmePD6A3ZsUFxfnFEGWZVFeXm4DwM1dbIUEnKhQSsfGx8d1rl4fqVTK+WiFEIK0tDQMDw9z2i5gt33k5OQgS5DFuV3FgU6nw9jYGDZu3IjOzk5eipAFCkajEb29vcjLy0NPTw/n4QCudHV1YfPmzbyMUhwLHn1hMY8PsNCb1NTUBKFQ2EgpXZOTIuBEBQAsFsubJ06ccBpsk5OTefHWOIyqfKwKT09PRxpNw7uffpdzu4qrDSUvLw8ZGRmoqqriJa/tWjM9PY3a2lps374dubm5vKxudjA5OQlCCC8jIZvNtiDvzkpYKqBSrVa7tfvmm2/OjI2NveRvn30lIEVlcnLyz6+++qrTihoTE4OZmRnOC7eHhYUhOjra71W5niCEIC8vD/0X+zm1q3gyyqalpWHHjh2oq6vjxfi8VgwPD6OtrQ179uxxLujjK20Cy7Lo6OjA5s2bOWvTFX/rGy3mTTQYDAgNDXUzWr/11ltGlmX/zUW/fSEgRQVAa3Nzs81h7yCEQCKR8HLBZGVlob+/n/N2AbvnqmmyiTO7ylJenvj4eOzduxddXV3o7e3lZfS1WthsNrS1tWF8fBz79u1bUL6UD2Hp6emBTCbjxTZFKcXg4KBfgXSePD7AwqnP4OAgZmdnhyml3K/G9ZKAFBVKKRUIBGWVlZXOfXwFrCUkJMBkMrklWeKST+/+NERE5LddxRu3cUREBPbt2weLxYKqqirO43tWg6mpKVRWViI6OnpJtzGXwqLVaqFUKnlJ3QnYS4bExsb6ZKB1Nc66enwczHdRv/3221atVvt/nHTcRwJplbIbY2Njx954440jV155pRiwFxnv6OjgvHg58MFoZevWrZy2CwCHsg/hrx/9K14++zKkSb7Np1cShyIUCrFlyxanqzk1NRXZ2dm8rODlEqvVivPnz0On06GkpARRUVHLvoeLtAksy6K1tRWFhYW8fUf9/f3Iz89f8ftcy26ECkPdRiiAff0awzBu7vVXX31VYzAY3uKk4z4SyGda+bvvvmt1DOMFAgESExN5WWGckpICtVrNS/Z6AEiUJOKdkXd8sqv4GtgWHx+PAwcOgGEYVFRU8GaQ9heGYdDb24vKykrExMSgtLTUK0Fx4O+IpaenB3K5nPNUGA6mp6dBKfUpF+1yq92HhobcMt1pNBoMDw/PUEqH/O23PwSsqFBKzQzDVJ4+fdq5zxGtyjUCgQC5ubm4cOEC520D9pPDRm0rtqv4GykrFAqRl5eH0tJSaLVaVFRUYGxsLCDEhWEYDAwMoKKiApRSHDx40Of8sr4Ky9TUFFQq1Yrz1HgLpRSdnZ0+G3+XWupBKcXo6ChSU1Od+/7v//7PYjKZ/uBvv/0lYKc/ADA+Pv6zJ5544tDhw4clABAbGwuLxcJpvRQHKSkp6Ovrg8FgWNGd0htcs3OJiAgH0g8s+x4uQ+/DwsKwbds2zM7Oor+/H+fPn0dqaioyMjJ4W+G7GDMzMxgcHIRKpUJKSgr279/PSc3jlU6FjEYjWltbsXfvXt6mPWq1GuHh4T5nzHdNwHR4w2G3qc/k5CTi4uIQEhICwC4yv/nNb7QajeZ3nHTeDwJaVADUNzQ06CYnJyUOl2JGRgaGhoY4r8FLCEF+fj66urqwa9cuTtt2PTmIieCNmjcgFAixL2Ofx9fztZYnMjIS27Ztg9VqxejoKBoaGiAUCiGXyyGXyxd4WbiAUgq9Xg+FQgGlUgmhUIjMzExs3ryZ84vZW2Gx2WxoaGjgNdyfUoru7m4UFxev+L01wzVuQuIpa+Dg4CCysrKcj5uammAwGFoppWseUxDQokIppbGxsc++9NJLP/nWt74VBtjr4Zw5cwa5ubm8nJS9vb28VKNznBhXH7saZpsZL/a9iFN3nFpwwqzG4sCQkBBs2LABGzZswOzsLJRKJVpbW2GxWCAWi51bTEzMir9jhmGg1Wqh0Wicf6OjoyGXy7F7925eCoi5spywUErR0tKCzMxMXsP9R0dHER8fv+JR73LGWcCek3dmZsZtrc+vfvWr6bGxscc56byfBLSoAIBer3/xt7/97Xe/+c1vJjmKjEmlUoyPj7vNJ7li8+bN6OrqQmmp78mqF8NheGNhz7FyvO242wmzFquNIyMjkZWVhaysLNhsNqcQ9Pb2OnOKiEQihIWFITw8HCKRCIQQmEwmdHV1wWq1wmQywWQyOT1zsbGxEIvF2LBhAy8lSJdjKWHp6elBWFgYL1UMHbAsi97eXp/OIU/G2fmiMjAwgA0bNjjtT3q9HidPnpwFsOpZ3jwR8KJCKZ1OSUk5c/LkyU9+6EMfAmB3ATc3N/MiKvHx8RCJRH4n0vGEq21FKBCic6QTJ9pP4Npt1wZE+gKRSASJRLKgHIXVaoXZbHZWDKCUQigUIiEhASKRCOHh4QgPD+c87aI/eBKWwcFBTE1NYffu3bwee3BwEHK53KdR2XIlcxmGwfj4uFvlgN///vdms9n8LKWU25BzHyGB4AlYDkLI9kOHDp06ffq0MwuNo+od19MUwB763NjYiAMHDnB+odQM1+BY6zG81PISbKwNIiLC69e+DrFevK7SF5SXl+Pw4cNr3Y1lUalU6OrqQkZGBsbHx7Fnzx5exc9kMqGmpgYHDhxwGlFXynybiivDw8OYmZlxepRYlkVWVpZ6aGhoE6VU42//uSBgXcquUErbenp6Rnt7e537cnJyls3X6itRUVFIS0tDd3c3522XppciIy4DNtbuYrZRG/5+9u/YuHHjuhGU9YRUKkViYiI6OztRUFDAq6BQStHa2oqtW7euSFDmpzTwFDnraH9+3tx33nmHWiyWfweKoADrRFQAQK1WP/zzn//cmWfFEV7PRw5bAMjOzoZGo+FlsaFr/IGIiHBL6S3o6+u7pBYDBgqDg4PQarUoKipCY2Mjr2kTRkZGEBYWtqKVyEulNJjP+Pg44uLi3DxWjz766IRCoXjUr45zzLoRFZvN9s/jx4/rJycnAdhdwA6jKh8QQlBQUIBz585xnsu2NL0Uxz91HHdm3omfX/VztEy3AOn2Oi1jY2OcHutyhVKK3t5ejI2NYc+ePUhOTuY1bYIj58tKl3p4WyOKZVlcuHABmzZtcu5rbW3F0NBQP6X0vD9955p1IyqUUmZmZubhhx9+2Dk0cbgE+RhNAPYE2enp6ZxPg3Q6HYTjQnx676fxvfLv4cGyB3HkjSMQZAgwNDSE7u7ugIh6Xa8wDIOzZ8/CYDC42VD4SptAKcW5c+dWPO0BvK+7PTw8DKlU6jZK+drXvjapUCi+7k/f+WDdiAoAGAyGl//yl79MumZrc4xW+LoIuZ4GuXp5GlQNbnepypFK7NmzBwzDuCW2DuI9JpMJ1dXViI+PR0FBwQJ3Nh/CMjw8vOJpj4PFUhq4wjAM+vv73VZRV1RUoKen5xyltN6vzvPAuhIVSikzNTV19Nvf/va0Y19sbCwiIyN5SY4N2KdBhYWFOHfunN8X+Xy3sae7FCEEW7duRXJyMqqrqy/JbG58MT09jZqaGmzevNkt2nQ+XAqL0WhEX1/fiqY93hpmHfT39yM9Pd0tJP+rX/3qpEKh+LJfneeJgI9TmY/NZvtneXn5aFdXV7zDrZafn4/6+nrIZDJecotGRUUhOzsbZ8+exa5du3w6hqc4FNfwfUmkxDmfLk0vRXp6OqKiolBXV4e8vDykpKRw+ZEuKSil6O/vx8jICHbv3r1qaRMYhkFjYyN27Njh9bTHm4hZV6xWK0ZGRtziUt5++21WpVKdDDRbioN1NVIB7KH7SqXyS1/72tec85GIiAhIJBKMjIzwdtyMjAxERET4tJJ5qcC20vRSHN5wGEffO7rAA5CQkID9+/djfHwcDQ0NvHou1iszMzOorq6GyWTCgQMHVi1tgiPcPyMjY0Gw4FJ4a5h10NPTg+zsbKddiGEYfOtb35pSKpX3r6jDq8i6ExUAoJRWdXR0dNbWflAmdtOmTejt7eXcU+PKli1bMDU1hfHxca/f402k7FInWmhoKIqLi5GWlobq6uqgd2gOSin6+vrQ2NiIzZs3Y+vWrT7FoPgqLL29vQgJCVlxuP9KKlcajUaoVCq3nCkvv/yyVa/X/4VSyn3RKo5YFxG1niCEbCsqKipvbGyUOKYjFy5ccJbH4Aur1YqqqioUFRUtm9jH29D7+UPipz7yFCZnJxdEVFosFrS1tYFSiq1bt/JaUGs51jKiVqfToa2tDWKxGPn5+ZwEtDkib72ZCikUCvT393udNmF+hOxSEbOutLS0QCaTOSsPmkwm5ObmqkdGRvIopdOLvnGtoZSu200ul//j3XffZegcVquVlpWV0ZmZGconOp2OlpWVUZPJtOhrtFotPXXqFNXpdF61WT1UTX9a8VP6QuMLNOLRCCp8REgjHo2g1UPVC147Pj5Oy8vLaXt7OzWbzT5/Dn8oKytb9WMaDAba1NREKysr6dTUFOftK5VKWl5evuzvWlZW5vX3Xj1Uvezv6Qm1Wk2rq6spy7LOfT/72c+MEonkhzQArr2ltnU5/XGgUCjuO3r06JRjyiMSibB9+3a0trbyGucRExODzZs3o7Gx0WPZEF8WBzo8AJOzk8vOueVyOQ4dOoSYmBhUVVXhwoULl7T72Ww2o729HY2NjUhNTcW+ffvclv1zxXJTIYvFgubmZhQVFXmdWGqlNhTAnu+lvb0dBQUFTqeARqPBr371K83k5OQvVvSh1oB1LSqU0sHp6ek//fKXv3SmwpdIJIiNjcXAwACvx5bJZJDL5WhubnYTMH9XG8+fc0siJR5LXRJCkJGRgUOHDkEoFOLMmTPo7+/npYzrWmEymdDd3Y2amhqIxWIcPHiQNw+fg8WExWq1or6+Hvn5+SvKZ7sSG4qDzs5OZGVluSXN+spXvqIxGAwPUEoDPsZg3dpUHBBCwqRSaWdFRUW2IxuczWZDZWWl11nZ/eH8+fMwGAzYuXMn9Ho9J+kLHHNuSaQER9876pX70Wq1YnBwEMPDw0hMTERWVhaio6N97sNy8GVToXPFxi9evAi9Xo8NGzYgPT191XOyuNpYhEIh6urqsGHDBq/SbfhqQwHsKSh7e3uxd+9ep3ieOHGCvfPOO88olcor6Tq4YNe9qAAAIaR4x44d/2lubk5wGO0mJyfR3d2Nffv28Xpno5Siq6sLBoMBer0eJSUlnK02fuzMY3iw7EEwlIGQCPHjK3+MBw4+sGx/xsfHMTg4CJZlkZmZCblcvmj9HF/hWlQsFgtGRkYwPDyMqKgobNiwARKJhNffbjlUKhU6OzsREhKC9PR0ZGRkLPuelcahuOK4Ge7Zs8dphNdqtdi2bZtqZGSkgFLKfeErHljX0x8HlNKm8fHx//v5z3/uNg2Ki4vjfRpECEFqaqqzYBSXowNvp0Lz+5OSkoLS0lLn6KmyshK1tbUYGBjgrWiaL+j1emd5jrq6OrAsi71792LXrl1ITExcU0EB7HFChBAYDAbIZDKv3uOLDcWBY9rj6tX70pe+pNFoNN9eL4ICXCIjFeCDadDp06ezHYWbGIbBmTNneJ0GOWwoxcXFGBkZgclkws6dOzm7IHyZCnnCYDBAoVBAoVCAYRhIpVIkJCRALBb7lM3el5GK0WiEVqvF5OQk1Go1IiIiIJfLIZPJVj2r/3LYbDbU1dUhPT0d4eHhXrubfR2pqNVq9PX1Yc+ePc5z591332XvuuuuCqVSedV6mPY4uGREBbBPg7Zv3/6fs2fPOqdBU1NT6Orq4mUaNN8oSynFhQsXoNfrUVRUxKkdwJep0GJYrVaoVCpMT09Dq9XCYrEgKirKmfA6MjISYWFhS4aeLyYqlFJn3lqDweDMeWs0Gp3lKhISEpCUlBRQ6SddsVqtThtKWloagMXjWDzZS1ZiQwE8T3s0Gg22bdumGh0dXTfTHgeXlKgAgFQqfeLo0aNf+v73v+80nXd0dCAkJMQtF4W/LOXl6evrg0KhwK5duzjLHu/pDghgRSfvYlBKYTAYnBnwZ2dnYTabnW5qRx5aoVAIgUAAQghGR0eRkpIClmWdOWwdrv2QkBCEh4cjMjIScXFxEIvFiIiIWPPpjDfMzMygsbEReXl5zqAzB/OFxR/7iQNKKZqbm5GUlORms7nppps0J06c+Jper3+Vkw+2ilxyokIICZVKpZ3l5eU5rnk86+rqkJWV5VbM2le8cRsrlUp0dXV5FXnrLa53QAB+n9DeQCmFzWaDyWQCwzCglIJlWZw9exbFxcUghCAkJARhYWGcG4NXG4dhdufOnYsWAHMVlifrn/R79Njb24vZ2Vns2LHDue9f//oXe/fdd5crlcoPradpj4P1fRZ4gFJqIYTceNNNN73f1NSUEBoaCoFAgOLiYlRXVyMyMtKvi9zbOBSZTIbIyEg0NTV5vOv5gmthqcfOPLZsKQcucIjG/KmQSCTiJQBtLaBzq5wVCgVKS0sXHV06RH1H/A7U1tZiX/q+JTPfL4dSqYRKpcLevXud+yYnJ/GlL31pQqlU3roeBQW4RLw/86GUnh0fH3/i7rvv1jl+F8fCvObmZlgsFp/aXWlgW0xMDPbt24eBgQGcP3+e0yhfXzxDQRbCMAxaWlqg1+uXFRRHLtkb/3kjZuJngGHgxC0nlkywtBh6vd5ZDdNhe7NarThy5Mj01NTU5yml/CQIWg3Wep0AXxsAIpVK33r66aeN1IXx8XFaVVVFGYahK2Gla3lcYRiGtrW10fr6emq1Wlf8/sVYyXohrlmLtT9cYzQa6ZkzZ2h/f7/bGhtP/LTip1T4iJDiYVDhI0L604qferVWyBNms5mWlZVRrVbrtv+uu+7SJiYm/pAGwPXjz3ZJjlQAe94VlUp1y6OPPtp38uRJ5wIduVyOpKQktLe3e92Wv6H3AoEA27Ztg0wmQ2VlJWepKVeyXiiIO2NjY6ipqUFeXh6ysrIWGJHnZ2fzFG7vS9oElmWdU2LXafizzz5r+te//nV6YmLiR9x9yrXhkjPUzocQIpfL5c1VVVXJ2dnZAD6wuEskErcaKp7gunKgwWBAS0sLp8v2+fQMLcZ6KSY2H9f0ETt27PAYo7OYV2cxV/FK0ia0tbUhLCzMzRN5+vRpeuONN3ar1eoiSqmJu0+7Rqz1UGk1NgDFubm5E65TF5vNRisqKqharaaL4c+UZylYlqV9fX20rKyMTk5OctKmYypUPVTt83L7lbAepz9jY2P01KlTdHR0dMnXeZrqLIc3U6GBgQHa0NDgNtW6ePEiTU5OHgOQQgPgWuFiu2SnP65QSpuUSuU3PvGJT0w7UhUIhULs2rULbW1t0Gq1C97DZ21jQgiys7NRUlKCrq4udHR0+J2xzjV5sqdQ8fnD+csJi8WCpqYmjI6OYt++fQvy/Xoz1VmO5aZCSqUSQ0NDKCwsdE61ZmZmcM0110yOj49/nFJ66aT0W2tVW80tKSnp19/61rfchh16vX7BaISvEYonWJalvb29tLy8nKpUKk7anD9S4cOQux5GKizL0uHh4SVHJ4uN6lxHfivB04hFqVTS06dPuyV2YhiGfvjDH56Oi4u7kwbAtcHldlmMVByo1eqjr7zySstrr73mTDoSHR2N4uJiNDY2YmZmhtcRiicIIcjJycGuXbswMDCAmpoaaDQav9qcX0tmMUPupTp6oZRCpVLhzJkzmJqachudzP/Miy0AXK5sxmLMH7FMTEygq6sLe/bscbPffP/73585e/bs6xqN5iVuPnXgcMkFvy0FpZQlhFx39OjRerFYvPHIkSNCwF47qKioCHV1dQCA3bt3r3qx9KioKJSUlECj0aCzsxOhoaHYvHmzzwshXQPlACwI0uIixDwQmZ6eRldXF8LCwlBcXOz2/Xn6zI6pjq8BbJ5wlP+orKyEQCBYEP/y1FNPGV988cUGtVr9Nb8PFoBcVqICAJRSHSFk/+c+97na1157LftDH/qQALCPGCilIISs6RoVsViMffv2Qa1Wo7m5GXFxcdi0aZNfq3hd6ws5PBeeInIBfj1GfDIzM4Ouri4wDIOtW7ciLi7O7q1p/uDzeBqVPHDwgQXfDRcIhUJQavesup5Pzz//vPmnP/1ps1qtvpZSyl/phzXkshMVAKCUThJC9n/mM5+p++tf/5pZWFhImpqasGfPHrAsi8bGRhQXF6/6aMWVpKQkJCYmYmxsDLW1tUhKSkJ2drbPGfTnj1zm36ElkZIVuVEDBZ1Oh76+PhgMBuTn5yMxMRHAykYl878bf1Gr1ejs7MT+/fuh1+udBctef/1180MPPXROrVZ/iFJ6yRZxuixFBQAopSpCyP6bbrqp/sEHH0y9/fbbnSJSVFTkFBauFgP6giMBVHJyMsbGxtDY2Ijw8HBkZ2c7Ewj5yvzRy2K2hUCcIlFKoVAocPHiRQgEAkxGTqKVtkJoFCIRdlFZzVGJK0qlEufPn3fGrDhuAo899hh97rnnutVq9ZX0UohFWYLLVlQAgFI6RggpffTRR6u3b9+eeujQIQLYbSwlJSVobGzEtm3bnHe/tUIgECAtLQ1paWmYnp5Gf38/2tvbkZ6e7lZjd6UsZ3fxdGE6Ri9/GvoTwobDfM4h4gtGoxFvN7+Nk70ncSjjED5R8gm0TbfhxmM3LhC+1RqVuDIyMoKLFy9i7969bkbZ9957z/L888+fV6lUBymlBl4OHkBc8hG13kAISZFKpVV/+tOfMhw2FsB+Ejc2NiI9PX3ZyNvVxmw2Y3h4GCMjI4iJiUFqaqrfiY88JWz2FKl79bGrYbaZESYKc9vnzdRpJUmNaoZrcLL/JLZHb4fcJsfZibP4xtlvwMpanccpHyhfNP3Aak3dKKXo7OyEwWBAUVGRWwqIF154wfzQQw+dU6lUV14OggJc5iMVB3Mjlj233npr1csvv5zl8ApFRERg3759aGlpgU6nw7Zt21Y9q/tihIWFYePGjcjJyXGWYu3u7vYrReP8u/hSBl4WrNs0yZupk7f7diTswLtt7+K2/97mFJB/3vBPTFumYWWtbsdZynvD56jEgdVqRVNTE8RiMUpKStympE8//bTxJz/5ydk5G0rgJAfmmaCozDFnY9n7uc99ruqpp57KvvXWW0MAuxW/qKgIvb29qK2txa5du3zK6coXhBBIJBJnkXC9Xg+FQoHGxkZQSp31iWJiYnyywSxm4DXbzG4XsTdTJ8Cz+Dj32Sx4qewl3LXpLtSr6mGjNrBgYWWtaFA3eBQQT8K3WszMzKCpqQkbN250K91BKcUjjzwy+9vf/rZerVZ/5FI2ynoiKCouzHmFdh89evSfzc3NRT//+c+jHekTc3NzERMTg+rqak6zuXFNTEwMYmJikJubC7PZDJVKhQsXLmBmZgYikQhisdiZ4jE6OnrFQuO4iF8sexF3XXmX8yL2dGF7GkE49oUIQpBqS7X3i4gACoQIQ3Dboduwd8Ne0GGKZ9ue9UpAVmNEMh+VSoWOjg7s3LkTYrHYuX92dhY333yzpq6u7u9qtfoLlNJLt3TkIgRtKh4ghAiSkpJ+tWPHjtv+/ve/x7u6lh0Fw/Lz8zlJTbmaWCwWZyJqjUYDg8EAkUiEuLg4Z7Lr8PBw57ZUesilEl870k+eGTiD04OnUZxQjLyoPGi1WrRNt6HL1IUrMq/AVblXIS4uDg3jDYvaVALNnU2pPUvc+Pg4du3a5TbFHBkZwTXXXDM1Njb24PT09G/XsJtryroTFUJIOoBjAGQAKIDfUUqfJoT8AsBHAVgA9AG4k1KqIYRsANAF4PxcE7WU0i/NtXUYwC8BnKKUfmf+seLi4m6XyWRPnjhxQpKTk+Pcb7FY0NjYiMTEROTm5q6LhM6LYbFYoNPpnMmuTSYTTCbTgsTXIpHIGRgoEAigUqmQmJjoXO9htVoXJL52FSlHGs/1nMeWYRi3tAmuRvHq6mp64403qpRK5Q02m63S9X2EkHAAFQDCYJ8dvEkp/SEh5KsAjgLIAZBEKZ2Ye/1hAG8DuDjXxFuU0h/NPXczgO8AOEYpfYq3D+sPa734aKUbgGQARXP/xwC4AGALgA8DEM3t/xmAn839vwFA+yJt/RlABIAnAOQv8ppiuVw+9v7777ulimMYhra3t9PKyko6MzNDL1VYlqUWi4UajUY6OztLDQYD1ev19P3336cGg4HOzs5So9HIaUa7QGRqaoqWl5d7zBL3hz/8wZyUlHQeQAb1fA4RANFz/4cAqAOwF8DOufNzAECiy+sPA/jXIm39A4AQwBuONgNtW3e3DUrpOIDxuf/1hJAuAKmU0v+4vKwWwA1eNCeAfbTDwv7DezpeEyGk6JZbbvnvD37wg41f//rXwx13661bt2JqagoNDQ3IyMjwmEFsvbNY4muhUOhWQPxShWEYnD9/HtPT0yguLnarQGmz2fD1r39d/7e//a1WrVZ/gi7iMqZ2NZiZexgyt1FK6VkAKz1nHC+mWOScXWsCwz/qI3NTm52wK78rdwE44fI4ixBylhBymhBy0GX/HwBUAxBQSrsWOw6lVKFWq3f99Kc/PXH77bdrXRNnJyQk4ODBg5idnUV1dTUMhssiFOGyYHp6GpWVlQgLC8O+ffvcBGV6ehqHDx+efvPNN59VqVTXLCYoDgghQkJICwAVgP9SSuefs/MpJYS0EkJOEEK2uux/C0AjgEZKqd63T8Yzaz1U8nUDEA2gCcAn5+3/AYC/4wN7URgAydz/xQCGAcT6eEwikUi+v23btsnOzk46n8nJSVpWVuZVIuX1znrIp+IrNpuNdnR00DNnzlC9Xr/g+bKyMjYjI0MVHR19I135OSQGUAZgm8u+AbhPf2LxwXTpCICelR5nLbc174BPnbYPH/8N4P55+z8HoAZA5BLvLQewy8/j75RKpb2PPvqowWazUVdsNhtta2ujVVVVl7St5VIVFYftpLe3d8GNYWZmht59991aqVRaj0XsJ95sAB4C8C2Xx26i4uH1Sz4faNuad8CHH4TA7v15at7+jwDohN2K7ro/CYBw7v9sAKMAEjjoR2hSUtIT27dvn+zq6qLzmZiYoGVlZbS3t5fOF55LgUtNVCwWC21vb190dFJeXs5mZmaqxWLx1xyjYG+3uXNQPPd/BIAzAK5zeX7+SEXuMtLeDWBopcdcy23NO7DiDgMHYDdSnQPQMrcdAdA7N7Vx7Ht+7vWfAtAxt68ZwEc57k+RVCrt+8lPfrJg1GK1Wun58+fpqVOn6NDQ0CU1JbpURMVms9Genh566tQpOjAw4HF0cs8992ilUmkDgEzq2zmyA8DZuXO2HcBDc/u/DmAEgA3AGIA/zO3/6tw52wq702GfL8ddq23dxakEIoSQ0MTExMdTUlJu/8tf/iLJy8tze95isaCnpwcTExPIy8uDTCZb916i9VqiwwHLshgeHkZ/fz/S0tKQnZ29YDFmRUUFvf322ye1Wu2PNRrNb2jwYvGKoKhwCCGkWCqV/uUb3/hG8re//e2I+Sep0WhEd3c3ZmdnsXnzZiQkJKxRT/1nvYoKpfZcLBcuXEBSUhJyc3MXuMtnZ2dx//336/7+97/3qFSqGyilA2vT2/VJUFQ4hhASlpSU9DOxWPyZp556KuHaa68VzB+V6HQ6dHXZPdibN28O2HVES7EeRWViYgLd3d2Ijo5GXl7egix6DMPg2LFj1oceekgzMzPzU41G83RwdLJygqLCE4SQTLlc/nRKSsr+Z599NnHv3r0LXjM1NYWuri5nNrf4+Pg16KlvrBdRoZRCrVajr68PIpEI+fn5C9KEUkpx/Phx9pvf/OaUXq//q0ql+l9KKTe1aS9DgqLCM4SQbXK5/LktW7ZseeaZZxI2b97s9jylFFNTU+jr64PFYkFWVhaSk5MDJm/LYgS6qNhsNgwPD2NwcBBisRjZ2dkeR4SVlZW49957J1QqVblCofgGpXRkDbp7SREUlVWCELJfJpM9f8UVV6T98pe/FKenpy94zezsLC5evAiVSoWUlBRkZGT4nOiabwJVVPR6PQYHB6FWq5GamooNGzZ4zH/T1taGr371q5MXLlxoUygUX6aUdq9Bdy9JgqKyihBCiEgkuk4ikTx9ww03SB555JFYR3IlV2w2G0ZHRzE8PAyRSITMzEzIZLKAGr0EkqjYbDaMjY1haGho2e9rYGAA999//3R1dfWQUqn8Il0+XD7ICgmKyhpACBFGRUXdER0d/ch1110X893vfjcuNzfX42t1Oh0GBwcxMTEBiUQCuVyOxMTENReYtRYVm80GlUoFhUIBrVaL5ORkZGRkLLrIsaGhAT/5yU+m6urqJlQq1X0sy/47aITlh6CorCGEEKFIJLouKSnp4Y0bN6Y99NBDiVdffbXHGBaWZTExMQGlUomJiQlER0c7c9GuRXrLtRAVo9EIhUIBhUIBi8WCpKQkyOVyxMfHe/zOrFYr3nrrLebRRx+dnpycbBsfH38IQFVQTPglKCoBAiFke3Jy8kPh4eFXfOUrX4m98847wzxNjQC7cdeRi1apVIIQArlcDrlc7raSlk9WQ1QopdBqtc7PGRIS4vycS6VdGBoawnPPPWc4duyYwWaz/U2lUj1OKR3itbNBnARFJcAghMTHxsbeGRkZ+dXi4uKYb37zm4mHDx9eMgLXZDJBqVRCoVBgdnYWsbGxEIvFzny0fGRb40NULBaLM9WlVquFXq9HXFwc5HI5pFLpkvWNrFYrjh8/zj7xxBOTAwMDyunp6V+YTKa/0ssoi32gEBSVAIXYVaQkOTn5uwKB4OCRI0dCbr75ZvHBgweXvLhYloVer3denDqdDgzDICYmxpnwOi4uzucCZA78FRWz2bwgX25oaKizj2KxGFFRUUuKqcFgwPvvv4/XXnttsqKiwkYpfVupVD5JKT2/6JuC8E5QVNYBhJAwAFekpKTczjDMVUVFRSGf/exnJddeey3xJmCOZVnMzMy4jQJsNhtCQ0PdEl1znfjadXPNf2u1WhEaGuqW2X85AXEwNjaG48eP21599dXpvr6+WZZl/6VSqf4EoJ5eogXP1xtBUVlnzI1gdkgkkk+HhobeKJfL4z7zmc/EfvzjHw9zTc69HJTak1UvdfE7ElnPHdeZ9JoQgunpaYjFYrAs67oaF4A98fV8gXJ97Eii7W0/z507h7/97W+zf/nLXwx6vX58ZmbmTzqd7m+U0j6vP3CQVSMoKuscQkhKZGTkx+Pj428XiUTZRUVF5IorrogrKSkJKSws5CSPrOMccQgIy7KoqqrCwYMH3YSGC6anp3H27FnU1dWZTp8+rW9vb6cAzikUipcYhjlBKZ3m5EBBeCMoKpcQhJBQAFtDQ0NLpFLp1QzDFIWFhcUVFhbi4MGD4t27d4cUFhZy4iHiwlA7NTWF5uZmh4Dourq6CMMwE4SQuvHx8ZOU0iYAF4LTmvVFUFQucQghIQC2ikSiXTKZ7EMsyxaHhobGZWZm0szMTGFmZmZ4RkZGZEpKCklJSUFycrJXhd6XExWr1QqlUomxsTGMj49jbGyMHRwcNAwODpqHhobYoaEhMAwzAaBOoVC4CgjL5ecPsvoEReUyZE5oUmCvoZQcGhqaGh8fnxsaGrqBUppqs9kShUJhWHh4uDApKYmNiIhASEgImSvVQUJCQsjMzEx0aGio3mq1UpvNBqvVSmdmZoharSZWq9XGMIxJJBKpCCEjJpNpYHJysodl2THYy6uMAxgPCsilSVBUgizKnPgkwl6RIAT26nqiuf9Z2NMgum5GABPB6crlTVBUggQJwimBs+w1SJAglwRBUQkSJAinBEUlSJAgnBIUlSBBgnBKUFSCBAnCKUFRCRIkCKcERSVIkCCcEhSVIEGCcEpQVII4IYSkE0LKCCGdhJAOQsh9c/v/TAhpmdsGCCEtLu95gBDSSwg5Twi5xmX/zYSQZkLI0dX/JEHWEu7zDAZZz9gAfJNS2kwIiQHQRAj5L6X0044XEEKeAKCd+38LgJsBbIV9LdH7hJBNc2H6NwMoAfAnQkg0pXRmtT9MkLUhOFIJ4oRSOk4pbZ77Xw+gC0Cq4/m5BFE3AXh9btfHALxBKTVTSi8C6AWw2/FyR7Mu/we5DAiKShCPEEI2ANgJwLXY1kEASkppz9zjVADDLs+P4AMRegtAI4DGOYEKcpkQnP4EWQAhJBrA3wAcpZTqXJ66BR+MUpaEUvoKgFd46F6QACcoKkHcmEt38DcAf6KUvuWyXwTgkwCKXV4+CsC1KHTa3L4glzHB6U8QJ3M2kz8C6KKUPjnv6Q8B6KaUjrjsOw7gZkJIGCEkC0AugPrV6W2QQCU4Ugniyn4AtwFoc3Ebf59S+i7s3hy3qQ+ltIMQ8hcAnbB7ju4NJmgKEkzSFCRIEE4JTn+CBAnCKUFRCRIkCKcERSVIkCCcEhSVIEGCcEpQVIIECcIpQVEJEiQIpwRFJUiQIJzy/wEIXCH8fdtHVAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "r = np.arange(0, 1, 0.01)\n",
    "theta = 2 * np.pi * r\n",
    "\n",
    "plt.polar(theta, r, 'g.')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico de contorno: Contour"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "\n",
    "delta = 0.025\n",
    "x = np.arange(-3.0, 3.0, delta)\n",
    "y = np.arange(-2.0, 2.0, delta)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z1 = np.exp(-X**2 - Y**2)\n",
    "Z2 = np.exp(-(X - 1)**2 - (Y - 1)**2)\n",
    "Z = (Z1 - Z2) * 2\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "CS = ax.contour(X, Y, Z)\n",
    "ax.clabel(CS, inline=True, fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Grafico de estructura alámbrica: Plot_wireframe"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import axes3d\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "X, Y, Z = axes3d.get_test_data(0.06)\n",
    "\n",
    "ax.plot_wireframe(X, Y, Z, rstride=10, cstride=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico 3D: Plot_surface"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from matplotlib import cm\n",
    "from mpl_toolkits.mplot3d.axes3d import get_test_data\n",
    "\n",
    "fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"})\n",
    "\n",
    "X = np.arange(-5, 5, 0.25)\n",
    "Y = np.arange(-5, 5, 0.25)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "R = np.sqrt(X**2 + Y**2)\n",
    "Z = np.sin(R)\n",
    "\n",
    "surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm, linewidth=0)\n",
    "\n",
    "plt.colorbar(surf, shrink=0.5, aspect=5)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Gráfico de error: Errobar"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ax = plt.figure().add_subplot(projection='3d')\n",
    "\n",
    "t = np.arange(0, np.pi/2, 0.01)\n",
    "x, y, z = 2*t, 3*t, np.cos(5*t)\n",
    "\n",
    "estep = 20\n",
    "i = np.arange(t.size)\n",
    "zuplims = (i % estep == 0) & (i // estep % 3 == 0)\n",
    "zlolims = (i % estep == 0) & (i // estep % 3 == 2)\n",
    "\n",
    "ax.errorbar(x, y, z, 0.2, zuplims=zuplims, zlolims=zlolims, errorevery=estep)\n",
    "\n",
    "ax.set_xlabel(\"X label\")\n",
    "ax.set_ylabel(\"Y label\")\n",
    "ax.set_zlabel(\"Z label\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Estilos disponibles"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "['Solarize_Light2', '_classic_test_patch', 'bmh', 'classic', 'dark_background', 'fast', 'fivethirtyeight', 'ggplot', 'grayscale', 'seaborn', 'seaborn-bright', 'seaborn-colorblind', 'seaborn-dark', 'seaborn-dark-palette', 'seaborn-darkgrid', 'seaborn-deep', 'seaborn-muted', 'seaborn-notebook', 'seaborn-paper', 'seaborn-pastel', 'seaborn-poster', 'seaborn-talk', 'seaborn-ticks', 'seaborn-white', 'seaborn-whitegrid', 'tableau-colorblind10']\n"
     ]
    }
   ],
   "source": [
    "print(plt.style.available)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {}
    }
   ],
   "source": [
    "x = np.random.randn(N)\n",
    "y = np.random.randn(N)\n",
    "\n",
    "plt.style.use('tableau-colorblind10')\n",
    "plt.scatter(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "### Subplot"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1440x216 with 4 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = np.random.randn(N)\n",
    "y = np.random.randn(N)\n",
    "\n",
    "plt.figure(figsize=(20, 3))\n",
    "\n",
    "plt.style.use('Solarize_Light2')\n",
    "plt.subplot(141)\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.style.use('seaborn-dark-palette')\n",
    "plt.subplot(142)\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.style.use('seaborn-ticks')\n",
    "plt.subplot(143)\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.style.use('classic')\n",
    "plt.subplot(1,4,4)\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.show()"
   ]
  }
 ]
}