math-multiana/scripts/norms.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6fc01cbe-c0f2-47cf-9e63-d36025f14198",
   "metadata": {},
   "source": [
    "# Normen"
   ]
  },
  {
   "attachments": {
    "d843217e-952b-46e6-8a43-0ab6e38fe50d.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "9c937dc2-2946-4835-bf9c-c53a0337e869",
   "metadata": {},
   "source": [
    "![grafik.png](attachment:d843217e-952b-46e6-8a43-0ab6e38fe50d.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0efc8c51-d7ee-4912-92a6-c3c0f93b4895",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sqrt\n",
    "\n",
    "def l1(x: list[float]) -> float:\n",
    "    a=0\n",
    "    for i in x:\n",
    "        a+= abs(i)\n",
    "    return a\n",
    "\n",
    "def l2(x: list[float]) -> float:\n",
    "    a=0\n",
    "    for i in x:\n",
    "        a+= i**2\n",
    "    return sqrt(a)\n",
    "\n",
    "def li(x: list[float]) -> float:\n",
    "    return max(x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a96e8b6e-563d-4a3c-9f74-865f19f69884",
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import display, Math, Latex\n",
    "\n",
    "def norms(x: list[float]):\n",
    "    display(Math(f\"$x = {x}$\"))\n",
    "    display(Math(f\"$||x||_{{l1}} = {l1(x)}$\"))\n",
    "    display(Math(f\"$||x||_{{l2}} = {l2(x)}$\"))\n",
    "    display(Math(f\"$||x||_{{l \\\\infty}} = {li(x)}$\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "d98ecf8f-0a20-4914-b183-a5a1ed347058",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x = (1, 3, 2)$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l1} = 6$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l2} = 3.7416573867739413$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l \\infty} = 3$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x = (20, 3, 2)$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l1} = 25$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l2} = 20.322401432901575$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle ||x||_{l \\infty} = 20$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = (1,3,2)\n",
    "norms(x)\n",
    "x = (20,3,2)\n",
    "norms(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "689e658e-1eb5-4e1a-93f4-82b0fa065eb9",
   "metadata": {},
   "source": [
    "# Metriken"
   ]
  },
  {
   "attachments": {
    "87611157-5376-4e9d-bc57-bc2072304dc7.png": {
     "image/png": 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9i8ROXpldzrU5wqwdGpkRMUeo7Xanl/0+fv/jYy6E1/2DxCXLq3972m+PmYl22Y2U3b6aROIoK+ryTkCVfJlL1XQZ9KE1IUvaQz+BrsGFMvHHcqjL3Hfl6+PsMrn2gUqYp9Y/1bMdUyTX7YOFvc6jsBS7dS3/t5e7uU4czXMq63yHYtmdxLN0ztIx34dvvfStUeV1XXtU5sAlny2XvafOjE+WNa9at2pMEj4bM1/olz8heXClLfa+eMXiXl8mti7LgNcuX9urK23vemn7/9z+P8csTxfblWWz+pEBbfE57O0cIaxi+xwp2oXLzur2jz7b5fdmCThF3T8d/6dWXWnwt+pv+3pPnVkloR9m1wh63uiHHTbvWNmQjkXntWonLO+7lgvmzRjao+khok7nserBLyEcXIIib5+Uq05DR+ukrsyZE10217JDl/CP2dzbJOryRvLz7hPst6iTerBtJu/AlLwDUvLsOk/U2bNHRRvU7bAuW8qbcfPZmOs9GWDZv3d/thTyD1f9oXPPb0g7LNMfaBErSwplH+EdI3f4sh70u8u2ui7q7DIV9S0SVmZ8XTyr9sFa1PmWKYf0g3nf1Ka+Q0V25xp4yRNrdtgyNuYz5Lw7P33v6d9d9hHSfvvtT1Rpu7JkfMuGLWrzns2j8NT5xoSwiu1zpGgXefZily/0uhef/U1T07inzgepwu9Fmsgp6o6feCqkk+yVn6qfnpB1f1sr/qZHW12bT4sOX7A/fv3shPMchJCOrYwTV9Wh8OXDJUB9H1ibv6tTc6Wb59SEiOpaBu14uS2izjW67dtXqDfAm8XyHchThV/R0kjXQIyrzeYdkFJG1Ln2nhbtY7D7E5fdxRR1eYM7JnNfO5SwrhMfU89Y23bhcsx9YsSMo+lvhxZMdjnMATTb4Qs9sdWOs2ofLPFIm5U9ekVPSD8YOlCa177k7+3BxVh2Z7f1omW7ru9OrCXEdUWd61CgkPYbQ9TV8SdcQqnqDGhKUZfC50jRLkJFnatNVfneflZ9FlFXBZznnQ/UB+pvTvzjehB1iZZflvkYSMXYSzVdTkcTnXDRCE1I+m0QdS6H2efE+fYP5TlaeSfohTgzsdt6W0Sdbfs+QRebQ1F8vv1uvgNTXB9aW6T40pD8lR30CZkFiCnqQi6h9fUHrmU9/Tguu0yf5LKdLog6ybcIjrkL56p//bl/7Vxm6ypbHVEX0m5D+iRXm6rzHYpldy5H3bdXLmRGPYSbHabq8kuZ8RZ7+Pyiz49J1td+zRdCvmex61HSjyXOJa6Uoi6Fz5GCZxlRF3ICtM+WEXU+QtV+R9Sd4Jb6w2yPyNkdpn39gF2V9nHk/RJ1RTNaIR+BMg5UVYfCl48yedD14HrH3v/oS7fsR7Bac85/K8SBip2mHZ8tjtsk6FzC3G5nvqWVRQekaBYhoi7PScqrn4PvHVTmnlpXO40p6kI2yvvaQ5WlUynss0p/YOaj6W+Hy07l70Jmo8x8izC6+tare6cAphR1+sh3feWLvrJCHzlvpm23ubJ20pTd5S3Lt4/AN8tmX9MTa8l9LBs08+rjWPZ7FrseQ9tBaJ+RUtRV6WN8PkcKnmVEXQzbRdSFWme5cIi6iKIu9FhqV4dZptoQdfm0fB+jWB2sXQe+dMt+BMvYQ0jYfos61540OWzHd4dgSNlihfEJLtcBC3q5j2vkPmSZdOhSyTJlTC3qQj7ovvZQ1ikpU/4yYav0BylEXei3I9SZzVueZbPJ2/frSse3TN2OW8q0Yc2GUQd96TAyoPPjd3485sqDLou6MnYnYUPaUUiciLpPKFVd0toFUWe2jbL9p68/LrIz17sxbBdRF9K6y4dB1EUUdaEXyLo2nurjpn1VKKdVLb17aaVTH3XcVZdLMFP3Se0g6nyW+snvITNY4bGlC+kTdZJy3oEptlOet5QwJA1X+yyaAbCJuE4bjDlTF/JB9zkRZZ2SVLXeFlEX+u0IFXUSTpZ93XXVXd674kIP3woVdbL/dOSWkVFiTh+qM+f35vROJQwZaCprJ03ZnStf+hqDEFuNedgPog5RJwTq+md5dutqU3lbS0JsX4dB1JWhFR4WURdR1LnWeNvL9Fwf5dCPZdnRlLxRK0Td6OsSfHvqQhw/nzNh1l0I//AmHBYyxIEKi6lcKJudb99Judjjhg4RXHkHpthXj+QdbBKSRlUBVkSjapxVbdXXHso663Fr+pPYQtp2UdqxHOrQb0cZUSdh9ZHt33/m+0r2XuZdYu9aUltlCbxrNjtvNjCkTyprJ03ZXZ2Zndi2HMsGzXz5OJb9nsWux7LtwMe8Tn36WFXpY3zvpOBZRtRVnRE100DU+ayy2u+IukiiLu/SVteGUvsDHuOAAF/H0oZO2NdRFX1UQoWvj0OZPOj8uO4UtJ12X7pl+VdrzvlvhThQsdO0Z69cAxyx06wTX4jgkvhtluIQ37/i/l7SRQeJhKThOpin7qmQiDq3ZbTh9Msy3466zqy+s8teFuk6ubGKqHOVJW+AI6RPiu28lo0vrz9xHbgSste0Tv+U9y6i7hMyVcVG20Sdz+coa8dl/BPbzuq8W2TviLoUvYE6cfYlp1/WPihFGtgdV9wxZhQ0b1YihdNWpuGFjL6n6DTKCCq7PKHC18ehbLmk2bnuU7KXH/jSHTZRZwu6oiP503Rt5WMNEVwSa97+J51i0WxkSBqu+Kse1a3z5GrzIUIxpK9wkQ5pDyFhXHGHHJcfWvtV+gMz7roOddlvR6ioE3HlOtVQ5911tUjIgV55d0kW2VneSXn9EHWh/ELsLsXgbKjdxrTBqu1Xv1f1vsG6ywWr9k2u/sPVD4SKdF8/VqWP8fkcZeP05bHI7ux3i67uKGO/iLoytMLDIupOsKr6YZYP4yvPvKL+ZOno5XyCv2i0vuqokHYARFDYB0yUabQhnWGKTqOOqBOmIaNwIRzso6Ul7jKXj4eMahflN4R/eBMOCxniQJXp2Is+yLYoEZETsifs10/69d5+GzMvVdtLGJlPQoUILh3aZUP6t6L9BiFpuJawhcxUi7Miy0DlAJpps6aNKn5Vm6v6Xkg7dA1u+cS/ngkK6QtC6t814xLCWsfd9LcjRJToJcLS7r648ou5hxGZdRt696aPu2uGwbUH02XjUrbUB6VIGrHszlX3IftNxYb/2zf/m/IJ5BD7lTBVbbBMf5/3PXO1Hwlrc0jhT7gGv3zL+7UP9a2XvqUmT5vcQ1A2fya7kL4uts9RNr8heXTZQ93+scjGEHWhLbxcOERdTqcojvtNK25y0vzlx79Uf73rr5VcNeB6ik4U0+FdzlKeQyMN66n1T6nH1jyWvR5yql5eJyx/H+Kopeg0yog63+ifdOirF69WG3ZuGCUEQjovVz5kJnDk8ZFRB9CIc7Ty6pVq/979o6rZVU8h6RbVfYgzUK5pjw7dlKhz2U2ZfLuWaLZR1LkOtpBy+maUQ0RdnqOW57DowaVvfvWb2WoB1x5RV37t09TkyPV/++V/O2qGJ6SvcNVvSHtw1av0nbbDJfHLoR9//uCf9/rcGBv1db5th6vMSLSrL0n97fCxNZ1dyctdD9ylLpp/0ahqsveGui4or9IHu5Zf2nGLvX73vu/2vmdmxpoQdbHsrsz+QSmjpCvfcO03+ARyaL+ZQtSF3gHnEvEuHyWFP5E3MOD6hoi9P/f/PdezOTuM6/Ric2De7GO3Hhnt9/naY15/XsfnSMHTZW91ZjB99ouo8xGq9jui7gQ3V6dYDeevLnm979n7nDMOZpyu5S/aKZx71Vx1yqmnKBGP2763bcyR0MMg6lyjqdLJyimhP9r7o57QqnoKZd7HSDra088+Xf388M+dR3HnOdYhHXtTok5s60+X/WnuoIPLtoXtyMaRMc6fDhu6v8YlAsq0JZcgaaOoyxuh9s00hYo6YeayUX2J9MRzJ2ZY5c4ve3DJxTBvyajMSpm2bs9SpRR1kv+8/WTmSYKuwbOYgyAuzqEOdz++Hb6+Ji9Perbc1be5lvdW6YPzHG0tdA/tP6SeffjZbPBBxN7T658e1T00Iepi2p3r4CSJX1jPunJWVjYp87Yt28YMDobamK//TCHqXHWvV1ycOuFU9bODP8sGWeSuQbnvUA8467w2MVMnaeXx176ChAm5D1HCuYSs7ofMOOyy+dqjZhLT52hK1Ln657pbATQPRJ2vZVf7HVF3gluMD3PeiGhRtVRxvvOW1JRZ9+zqXOyR77Kdhmt5gf3RcnUQeYdnhMz4uEb17Xy4lhVJnRSNFufVWdEa+9COPc9Zj+mkhrBzlbHMHoe8sHkfrtDuqU2iznewiwiltcvXZs6aPrL9xuU3FhbVthNfGnkzgnmJSL3cPnL7mEGlPGfbjsfOT0hf4bSls+aP2mOc1w6LHOy8MooYiHnHoatfCm2P/fh2+Pq4vBUGeTzzBqpC+hFXHyzpL529NPekTXln7ffWqp/s+8mYrQt1xUDId0hzyBtQKGt3ZXlL+b9875fVF5Z8IbRbLAyXQtTJoNXiCxd7r8OQQazDBw/3tR7z9qXmQZOB29WPrB7TR4a0Zdfsmq896nzE9DlS+GcuXq7vT8he7BDDRtSFUCofBlF3gpl0YHIa2C+O/qIUwc9c/Bn1m5N+U/32tN/2zswVRSwNVEajXaN58p44avJn6kVTx9xPZ36gzBHt37/z98fsq9Fh5SO0bvW6XpakHC5nVBq0LDPVj+v+K/2bOLhbHt3SCyv5tTfq607t4HsHs3By516Rc6aXWJrHcOuZit+57Hecs0p6mZbOyMKbF+bOPkkYvSzjr3b8Ve4luTJzesV1V+Syl3hCyp/HP+adRZKGzTnUqItsRpx7s33k2Yzw3Hj/xtJtSduD6w5GaZ8P3PXAqGL46jW0zGY4cfJ0G5I6KdqPVCV+eUccB5ldkyc0DSn/S0++5Jy1l3jE0RAbNe8Ac+XP5XyKgynt9KIrLlIz580cs//Krs+8erfTK9sOpYy7XtylnvvOc7XaYZV6cc26+sS2Tqcf345QthJux/M7cr8rIo5/90u/m/ud0P2aLHMv0wfLe5qLORMntiazOtfedm3Wl9rs8tpD7O+QaSMx7U6+AXlXR+h29vlrPq/On3l+7j7HqvZr+y9F3+rQNPS2Dz2zar4ntrN4xeLM73HV4x0jd4xJJmU96qs7xAdxzexrv0H8EnMvnZ1Jl4jR/av0j653Q9uj+f2XpaB1fY6UPHVe7SXYrmXaofZkh0PUVSVX/B6iLg3XWrFKB/WzAz/LBKN9IEqtiDv6snw0/uHYP9QSzmWKLiK7qOMvExdhIZCCgNioLIMS57jso/uXttt4nTKWZWIvM43pvJTNS6rw0o9+fPTjSnZTpw+WgQERNV35lsWyO8277e0s1N6kHuURIdeFp05+5d1/edK/rNS/VmHTRp/Dtc/Qt72gTNkRdWVohYdF1IWzIiQEIAABCAwgAXvPYdFy0QEsPkWCAAQgMIqAq090nbxeFRuiriq54vcQdWm4EisEIAABCHSIgH1QQqwDATqEgKxCAAIQyAjY+6ld+93roELU1aGX/y6iLg1XYoUABCAAgQ4RkL0xSy5Z0stxmfvqOlRMsgoBCECgkIC9z1j2JG7YsSHqEmpEXRojRNSl4UqsEIAABCDQMQL26HToKZgdKybZhQAEIJBLwL7SIsWqBURdGgNE1KXhSqwQgAAEINAxAvbVD8zWdawCyS4EIFCLgD1Ll3flSa1ETryMqKtL0P0+oi4NV2KFAAQgAIEOErDvWQu93qCDRSXLEIAABEYRME8CluscHt72cBJCiLokWBWiLg1XYoUABCAAgY4SME9+k5MwN+zc0Jmj3DuKnGxDAAJ9JmBewC6Cbu2WtVH30ZnFQ9SlqWxEXRquxAoBCEAAAh0mIHdH3XHFHdnF24N4b12Hq4asQwACkQmYyy5l2fkfP/THyQSdZB1RF7kC/zk6RF0arsQKAQhAAAIQgAAEIAABCFgEEHVpTOVJGOQAACAASURBVAJRl4YrsUIAAhCAAAQgAAEIQAACiLpGbABR1whmEoEABCAAAQhAAAIQgAAEmKlLYwOIujRciRUCEIAABCAAAQhAAAIQYKauERtA1DWCmUQgAAEIQAACEIAABCAAAWbq0tgAoi4NV2KFAAQgAAEIQAACEIAABJipa8QGEHWNYCYRCEAAAhCAAAQgAAEIQICZujQ2gKhLw5VYIQABCEAAAhCAAAQgAAFm6hqxAURdI5hJBAIQgAAEIAABCEAAAhBgpi6NDSDq0nAlVghAAAIQgAAEIAABCECAmbpGbABR1whmEoEABCAAAQhAAAIQgAAEmKlLYwOIujRciRUCEIAABCAAAQhAAAIQYKauERtA1DWCmUQgAAEIQAACEIAABCAAAWbq0tgAoi4NV2KFAAQgAAEIQAACEIAABJipa8QGEHWNYCYRCEAAAhCAAAQgAAEIQICZujQ2gKhLw5VYIQABCEAAAhCAAAQgAAFm6hqxAURdI5hJBAIQgAAEIAABCEAAAhBgpi6NDXRe1B1Wh9WRE//wQAACEIAABCAAAQhAAALtJnC+Ol/92ol/eOIS6Lyoi4uD2CAAAQhAAAIQgAAEIAABCHSLAKKuW/VFbiEAAQhAAAIQgAAEIAABCIwigKjDICAAAQhAAAIQgAAEIAABCHSYAKKuw5VH1iEAAQhAAAIQgAAEIAABCCDqsAEIQAACEIAABCAAAQhAAAIdJoCo63DlkXUIQAACEIAABCAAAQhAAAKIOmwAAhCAAAQgAAEIQAACEIBAhwkg6jpceWQdAhCAAAQgAAEIQAACEIAAog4bgAAEIAABCEAAAhCAAAQg0GECiLoOVx5ZhwAEIAABCEAAAhCAAAQggKjDBiAAAQhAAAIQgAAEIAABCHSYAKKuw5VH1iEAAQhAAAIQgAAEIAABCCDqsAEIQAACEIAABCAAAQhAAAIdJoCo63DlkXUIQAACEIAABCAAAQhAAAKIOmwAAhCAAAQgAAEIQAACEIBAhwkg6jpceWQdAhCAAAQgAAEIQAACEIAAog4bgAAEIAABCEAAAhCAAAQg0GECiLoOVx5ZhwAEIAABCEAAAhCAAAQggKjDBiAAAQhAAAIQgAAEIAABCHSYwP9S/0v97MQ/rmeCmqA+feIf8xl3/MTT4fKSdQhAAAIQgAAEIAABCEAAAgNF4G/U3yiZrUPUDVS1UhgIQAACEIAABCAAAQhAYFgIIOqGpaYpJwQgAAEIQAACEIAABCAwkAQQdQNZrRQKAhCAAAQgAAEIQAACEBgWAoi6YalpygkBCEAAAhCAAAQgAAEIDCQBRN1AViuFggAEIAABCEAAAhCAAASGhQCiblhqmnJCAAIQgAAEIAABCEAAAgNJAFE3kNVKoSAAAQhAAAIQgAAEIACBYSGAqBuWmqacEIAABCAAAQhAAAIQgMBAEkDUDWS1UigIQAACEIAABCAAAQhAYFgIIOqGpaYpJwQgAAEIQAACEIAABCAwkAQQdQNZrRQKAhCAAAQgAAEIQAACEBgWAoi6YalpygkBCEAAAhCAAAQgAAEIDCQBRN1AViuFggAEIAABCEAAAhCAAASGhQCiblhqmnJCAAIQgAAEIAABCEAAAgNJAFE3kNVKoSAAAQhAAAIQgAAEIACBYSGAqBuWmqacEIAABCAAAQhAAAIQgMBAEkDUDWS1UigIQAACEIAABCAAAQhAYFgIIOqGpaYpJwQgAAEIQAACEIAABCAwkAQQdQNZrRQKAhCAAAQgAAEIQAACEBgWAoi6YalpygkBCEAAAhCAAAQgAAEIDCQBRN1AViuFggAEIAABCEAAAhCAAASGhQCiblhqmnJCAAIQgAAEIAABCEAAAgNJAFE3kNVKoSAAAQhAAAIQgAAEIACBYSGAqBuWmqacEIAABCAAAQhAAAIQgMBAEkDUDWS1UigIQAACEIAABCAAAQhAYFgIIOqGpaYpJwQgAAEIQAACEIAABCAwkAQQdQNZrRQKAhCAAAQgAAEIQAACEBgWAoi6YalpygkBCEAAAhCAAAQgAAEIDCSBgRN1jz32WK+iFixYoCZOnDiQFVdUqPfee0+9+uqrvSBTpkxRs2bNKs3h9ddfV/v27cveO/XUU9W8efPU+PHjS8ejX3j77bfV7t27s/8d1rqpDI8XgwnY9n/NNdfUstvghAk4lAT0N0f6yEWLFg0lAwoNAQhAAAL9JzBwom7cuHE9qm+99ZaaNm1a/yn3IQdTp05Ve/fuzVI+88wz1bvvvlvKsd26dWsmvPT7O3fuVJMnT65VEnF+li5dmsUxzHVTCyIvewmsXr1arVmzphfuxRdfVPPnz/e+RwAIlCVw6NAhdc4552Sv3XbbbWrdunVloyA8BCAAAQhAIAoBRF0UjO2LRGbFpk+f3svYhg0b1JIlS4Iyago6eUEEYV1BJ/Eg6oLwE6gGgY8++kiddtppo2K47LLL1LZt22rEyqsxCNxwww1q8+bNWVRl+qMYaaeKQ1YzXHLJJdHKxKBkqpoiXtsnOH78OFAgAIEBI4CoG7AKNYtjOlGhs3WydO28887rRRNzlgNRN8DG1pKi6QEJsffzzz9fbd++PctZrIGJlhSzk9kYRFH3wAMPqBUrVmT1EWP1AaKuk6bdiUwj6jpRTWQSArUIIOpq4Wv3y+bSIMnp/fffr5YvX56baRF0s2fPVu+//34WJqagk/gQde22l0HI3dy5czMhJ0vhZHBCO9w+2x+Esre9DIMo6swyxZj5QNS13Yq7mz9EXXfrjpxDIJQAoi6UVI1w+sN//fXXq02bNtWIqfyr9v6igwcPOg+PSS3oEHXl665Nb5gOQYwZiRRlMwcxZEDiU5/6VG/WWWbujhw5kiLZgYiziT5K+phjx45lvCZMmDAQh1hpERZria+0M/1MmjSp1D7ogTBECpGMgCxNP3DgQC/+YT1vIBlgIoZACwgg6hqohCYcprxiSEcuMxZ69u3uu+9WIyMjo4I3IegQdQ0YWsIkuiDqzKVwH374YeYQmwcGvfbaa5VOgU2ItTVR97OPag2Ekhkxl6q7+tWS0REcAhCAAAQgUIsAoq4WvrCX++0wmcseJcfmbJ2Ivjlz5vROykx5gAHLL8PspY2huiDqtIAzTyE0hR6nE+ZbVr/7qDbavC9PTz/9tLr22muzYLGXqvvS5ncIQAACEICATQBR14BNtMFhMmcstHMrgm7hwoW9wyRSjzYj6howtkRJtF3UmacQmg62ffCPnsFLhKmz0bahj+oaPHNpOwfxdK32yC8EIACBwSOAqAusU3Fq5ThucRJfeeUVdfnll6srr7xS5V1sbO6N+MpXvpIJJ9l38Y1vfGNMik2sbbevKZClaKtWrWpM0Emh80Sdviz6448/Vrt27cq4lr2cXPZTPfnkk9n7un7kGgYRsCkuoBdB/MYbb2T8JP9yJ+AFF1yQXf0geydT1Kmk+fLLL2d2ePjwYfXOO+9kdiiPMLv00ku9V0+IHTzzzDPZpfIffPBBluebb77ZeY+bMD169GgWv5RRz0o89dRTY9Lp9x4p7WC79s6ZAxqS91QXRAtbmQWXR18fou1kz549mW1efPHF2Z9Zs2aN6QdEmEq9vPDCCxnfz33uc2revHnB+6rKtoE6fZSkJeJZnhkzZoyyd10OaR/mvW2mPYXsFxObe+655zJu+s5NsVfhJ1xStDGzUnS/JPUhaUqeL7rool5/og/lkXdiHJKi25ned1hUPt2OpX1KfyB9jjxF9hX4qRsTrB99nb7QXe4A1HdMiv384Ac/UD/84Q+z/iivz3O1OekDQu+qrFvePDuXPEubk++c2FTId87cB2f2sZKG9BXS30g7ky0WIW1Ct/mTTjrJ+a3Ia9e6LUha8lxxxRWj2oLPtsw6kQGQmTNnjvpeSbpSFimTPMKo6FA3X3r8DoFhJYCo89S8dEYiftavX+8MKU7kSy+9NMbBME8x8xlXLIfAl455UpsZNvUMnU7LFnXy9zfeeGPPYTPzJFw3btwY9CG2l5faHGI78r70JH1hunLlymCH3Fd34sQtXry4tzcyL3xeXcpH+ZZbbumJePt9GXB4/PHHRwngkHLqeFIu2/WxMe+mc5XfXCYX60ALV57skxCL6kzysWXLlsw+iupG2sHOnTu9Yt1XV642UKePMmdudd3L39nt2ezbQmfqfX2uZi8C79lnn/Wy8dmP/bsvfTlJ9brrrutdOh7zACzfaZpiK1dffbWzzzTLIWxkIKHu47OrFH2dxKltU7M1l1HbZTLbvAwoXHXVVc5+0mxzeVxilNf1nVuzZk3vjkY77aKlu3Y7k8FO8UUkPtfj+5bbXO047PRk0HrZsmXOvId+o4vqRAZdRcjpq2d0flL203XbBO9DoM0EEHUFtWMvT5QPpT4iXUaS7rnnnuzj4XK86jhMqQzGPtJYf5Dtg1NSpW9+7ORjrS8ilv+WEWYZkdd/p/PgO9zCXAIl9SAC/NRTT81eF+dLj/DH3POi61bSu/XWW7MZFZlZkdkz+djqD5TvAxvK2TzVUZdRRmXlESdPTjQTx1rK6hJX9kE4wltGieXZv39/z0GwnZ4QB0eXoZ+izpyFdtmLfbVHqqVypkMu9iYOmNSXnhl89dVXRznjUg/S9vQ1IvL/YkdSX2Y78N0xWbUN1OmjbOdPZlSkvOZjC4sQUWf3ubqNnXvuuT17FTGcol3r9mSLJmkXU6ZMUaeffnomxCVtyZc+fCqm7ftEnTnrLP3L7/7u76qTTz4563tkpuM73/lO1v/EEppN93XafkzxIW1C+lWxJ9kuoFfLaP7yjtSBtkGzzdmCwcclRnnzvnNiR2effXZmP9p+dXnzvk9mO5P3ZXWGlFtYyB+pd1sQFX13yog6iefhhx/O0pO0RSy7vtF5J2pL2cz8S36XLl2afZ9lptLs43Tfp9u5Pcsf+q0kHASGnQCirsACzNFBV0dpOiBFHwtfR9qkEd5+++29WcemR8NskSCjdMLVXB4pDvhNN93U+1AVObTmPqq8UVhzWZ448zIzUvcRxytvyaLtlMY4/t+0wyJBopfW2Mu2zGViLufBFH15DmqIQ16Xa9X3dfmKZidMBqnurLNnwsW+ZeDHtDl7GbTYtzz2bJwtxPNmm2O1gbJ9lO1sasdS2qGU2bW8NMSGzP7JxU/biKQvjr6IYnH6Yzz2oVFadNvx29fE+AaeyuStSNSZdV20+kAvzQtdbliUv6b7OlvUFQ0a2YMZWnzoGXD9rt3mivrQGOW1v3NiR2vXrh31nRP7lSWMWpjmfefsgVjp45544olRK4Psb6aUO++742vndnqulUh2enn9qXnytuv7bNZLzEHXMu2NsBAYNAKIupwaNUf3i07Nk3AXXnhh1jnnfSx8HWlTRmV/3CTdolG22PkyP3ZFTG1hlOfA6FFr+dDt2LEjV7Bphz7WMkzJX5E4NJ2vGLN12tGrcteaWedF5dd5zksjxCGPbS8h8ZnttEismUswq3AMyYvpkBcNRtjiL88BM+sur73EagNl+6gqs/4+G7KF4rZt20KwRwtj1ktRu7WviYnZhxaJOpNfqtlmG2bTfZ1L1OUNmNr1UNTmTAFY1A/GKK9ZT0UDp/bAjWtAzWwTUr4333zTuUfc/mbmMfO1c7td5w3ymd+4vLTM/iuvjwsZkIvWwIkIAkNAAFGXU8nmR8D30dZh8zpAX0fahJ25BJ2k2+Qx7+bHzrdkyV62Ye8PKTPKp8P6lt7ErAdd5zH2tpiOXtnTG02n37fHRod1fYB9DnlMdmXiCp3FNPfdSfwxZ1d0fs16KhKYJssi+zDbgMt2Y7aBsn2U7fyFtC2fDZn8Ysxwl7GjECfVjC9m+zbjDRV1Key3DK/ULMylwUVlDRXiZb49Pg6+ui+TljnY5OoLfH2AmVf7pF+X3+Jr53a7LvremHXkOhfA7Jvzzg0wWTV1toCvfvkdAl0mgKjLqT3t4IY4K9ohqDo6ltqATOdPRg4feeSR7LQs/TTlQJX52EnezP0j9sfFFN2+j4Hp0PvCxqoL3wevTDr2h18+lnJ6mG8pqTmL5RPRkh/9EXaF9TnkZcoTM6y2kZClxPbSPvNkxhh5Mh3MIkfUZFk0I+Rz6GK2AZ+zZ/OxnT/fwJe8X2RDZhuNMRBStj7NvsZXFrPssQfFikSd6bTLrM29995b+pTgslxCwsfs63R6ZpxFwsLex5q35LTst6eo3L7ylk3rrLPO6i3DtMvq6wPsfJp9nKsP8rXzMrPlPg6+/aF2n9DU7HOITRMGAl0lgKhz1Jw9qh9auW0UdbYjoPfumA5hiHANZVAUruzHrmjk3twjVSZvXRR19l4fXV4RMnJxvPzbJfLM2YcyjLoi6uzZFX34S15Z7c35ZWc9fQxDZ5pC24HPoYvZBnzOXpGoCxVhRaLOLGuMJcu+ujJ/N/vIEJFmDrKEDJaUyYvPETaddh2v8JfrTMoeM18mX3VETpV0fIJBxxm7zYXk1Ze30PYdUgZfH2Dn15e2r52XSc/HIWSmLiRMSJ0QBgIQ+BUBRJ3DElz7RUINxiUafB1paNxlw5lr9u0TOu0TAZvYqOz74BR9oOzZxDIn95nxxp6VFMY/+clPsr2JIhr0Y57sFUNI+q4kEMdOZmDNAyrKnF5pMnKJ/DbO1NkHVpRtH7H2WIY4Z2beQtuBz8GK2QbK9lG+vLnqosiGzNUEsYWSzy5MxzKkHzTtLnZ/4hN1vusW9AyevifRV/YyvzfV10mefIIhVZszeVQtb2j71mmFDnaEDL7ap9LaduBr52Xata+OzEG3vHZVZqVFGVslLASGlQCiziPqYjgYvo40hfEVCTqdnumchI6218lrzI9dP5iaZZfR+q997Wve+6LknRiiTqetLx2W9M0jvfXv5pKbmEIsZlx1bEi/ay/XE/sNeczjxEOWbIbEmcrB9DlYMdtA2bh8zmNZUZdy9stXh6aQClkCZi7VjNm2JZ8+UafLIvxl4Mi83sEsZ8wTXvvR1/kEQ6o2J/HWLW/Z75w5qGAPEvj6ANu2TSHl8l187bxMeiF1pFcTuK59Sjk44mvz/A6BQSWAqMupWd1hxfg4+jrS2MZln6qVN0pmz9bFELBFZSn7sTOXGtkfO+38xHbMfXVhz5jpu5P0HUQnnXRSdsR6yAfPl5bvd310+aOPPtq788cU5+YHuu7BCm0TdWUOCTE52ocJhDjxvnpI5WD6HKyYbaBsHxVb1PVz+WUZkWYOJqToe0JFnWmTkie5j+35558fdSm1b2+gz6772deF9p8xl1/GKm/Z71xRGXx9gF2HvrR97bxMeiF1ZJ/0K7ON8piDa00vt/bZPb9DoMsEEHU5tRfzqF1fRxrTgEIFnU7Tvusn1l1urjL5Pjj2O+YGcntE3BzdrOu8lOFv7mMqWr4X8sErk64vrEsAmw5o3Q9n20SdOQJ85MgRH55Rv5tOfIxBm36JuphtoGwfFVvU9fOglDJtNbX4rCLqTOOOOePZz74utE5iirpY5S3znbP379vfuTIiS+zALINrabCvnZdJz1dHegBND3iaWxIkrzJ7J4dVLVq0qFT/TWAIQCCfAKIuh435cay7b8LXkcYyUPuumpD9IfZdP3Wd/6KylPnY+e7oMmdcUs8w6jKZafrEgO+DF6vOdTzmx9isdy32iu5wCslLm0SdWQ9V7DXVnXUxHUypE5+DFbMNlO2jYos6Ka/v5L4QO60SxhT5vplbU0jH3pMpea8r6iQOXZdV2kZb+rrQ/jNWm4vZt5f5zplhXYf0+PoA097NsHl3cfraeZn0fHWky6a/z8JY4v/444/VjBkzRl2gXqXd8g4EIDCWAKIuxypMsRPiEOslMOZBFTrqMneFVTVSW9CV+aDbB2qkmvky0yna9G0Lzbylg6EfdM1UhGLekdch3M0PXpGos5e11t13Ix9DWdJZ9ORd9FrmIy3xS1ry2OlVXe4YwrVsmNC76fLiteun7tJUnU6oPYY6fSF1F5qmrw2U7aNSiDozTllGvGPHjsJrO6Qepa9y9bllbMoUk0X9pr0KwicAy+TBZUN2vyHlPeWUU7xMzjnnnCy6OoNd/errNAefYIjd5mKWN/Q7Z9uTqx+yhVreShr7+5/3feqHqPMNgFZpJ7wDAQi4CQy0qJORVJ8zbGKZNm3aKErmpmNxMp544okxo0vSmb788svZKPOtt96qRkZGxpDOc7zkI71+/frsAvCJEydWttE6gk4StUVUyClbVTJri0eXAyUfsRtvvLF3AElRXoTfhRdemB0YUrSUQwTJmjVr1AcffKB8F3D7yqU/ipLeSy+9NMYeJE833XST2r59ey+quqJObOvVV19VX//619W8efPGOHXiHFx99dUZM9cAhCmChOfatWvH2Jvk+8knn1QrVqxQrhneIoEh7WTXrl1q+fLlo/BJvmR5r342bdrkwxv0u16WW+dwnxR31oUKrJiiLlYbKNtHpRB1Uvmmreb1udpW77nnnuyutronPZoDFpIH1wyczO6KzZiHE9Vt1y5jL5qp03lYtWqVuu6668a0YenHly1b1ttfG2uFSZN9Xb9EnaQbq293fedWrlw5qt+WPvOqq67q2VPed85sZ5JHWcr4+OOPj6p7ey9g0SB0k6LObFci7OTb5XomTJhQy/8J+mgQCAJDQmCgRV3ZOnR9pO0PvnSqU6ZMyaI+evRo7wMq/593x5HpqEg46cAPHz7cc/xDlknmlaWuoNPx2h+iug6BK79mGvLhEQdJHDf5Ix27bPY3xZCwltPdii7Ztkc7dXwi5uW3V155pffhzFuSUsZO7GP0TXuw86/jrev8mcvD9If97LPPzqI37Uj+P2903s632KBmZMfhcmrtvR+as+brEli2Q1KXg5TPHGips/zNbtcx7qzrh6gTJjHaQNk+KpWok/LYtqptTX4z23NRn1umTUtY+84/ffeb9PH6UAdpM3pfUKqBryJRV8RFymDuWYqRv370dbremp6pc9ld1b7d9Z2Tb8/ll1+efedkgE5sSj9F3zl7pk4PKkj9ur6ZrlMmzbbQpKjLu1/V1TalvcmA4jXXXFP4vS/brgkPgWEjgKgzajzP6bRnj2wj0R1S3oixOZpuvyuds8zulZlRNOMwnZE6p7HZs3V14sprRPYMhYhjc7TSfE+4PPTQQ0EdvPC96667Rjk1ZlzyoZNZVHu0tEpjt0W0yxbkvrgHH3ywl5+6YkbsTzaUy6xu0eNbbuWabTDjkzqX2Y+85Wy246/fzbsbK4WoM2fY6gox8yCeOgJRc+iXqJP067aBsn1USlEn5fHZqq/PLdu2i+6BlHbxjW98IxtAWbBgQRZ1qiVlRaJOr+x4+OGHndeZ6DLL4KK046LBsBA+/ejrdL76IepilTfmd85eISG+wi233DJq8FMzkzbx7LPPFvoSTYo6e7ApxOZ8ojQkDsJAYJgJDJyok06w6mMvv7TjkVkCmY1544031Omnn67OPffc4A2/8kGWGTm5oPrKK69Usu9BRE2dZZcSp4wk62fSpEm1PuTSCR87dixafDY/M796yYV8SIWnvrxb2FTdRC35l1HQ/fv3q5///Odq5syZGWP5U9fBscsiMz2ylFP2OEg6p556arYUU4tzk6XPrkLtVe/bFBuUMkoaF198sZJ6v+iii4Jsyeat3zfzXpQfKbeeTfXZv6R14MCBXnQxOOj2ra+OCGXnCmfWUez4itqiqx248mfyC81fnTZQpo8y8xa6fMosd0hf5bJVaWdV+wefreil9D/84Q+zoGLfl156aa9Nh9abL52i30P7DWkHu3fvzg6dkKXP0u/Y+a2TD/PdfvR15ne8qN8wecVoc1LuuuXNW16t45X6Cv3O5S171/Uv/oT04bKaI2S/uK//LNPnFNWRKehEqMmSYcmjXmEinGWQRL778i0zBypirKiJZfvEA4GuERg4Ude1CiC/EIAABCAAAQgMBoHQPbMhpQ05LCkknqbDmKcuv/nmm94BRxGTIvz0apRYh1c1XW7Sg0C/CSDq+l0DpA8BCEAAAhCAwEAQQNQppZe2l9nbaZ5K7NtKMBCGQiEgkIAAoi4BVKKEAAQgAAEIQGD4CCDqVLbUUg6DKbM335yVjLHHefgsjxJDQClEHVYAAQhAAAIQgAAEIhBA1CllMpCri3yHlJkHFcmeupAlmxGqiiggMHAEEHUDV6UUCAIQgAAEIACBfhBA1P2KunlScd5hKSLm5L5X82TnOlc89aO+SRMCbSKAqGtTbZAXCEAAAhCAAAQ6SwBR90nVCYuvfvWrhVdw6NB1r3fqrMGQcQhEJICoiwiTqCAAAQhAAAIQGF4C+roBIVD3+g19zYjEJdcghVxb0Dby+moSuQpHZubkKgP5bxFx8sj1DubVIW3LP/mBQJcIIOq6VFvkFQIQgAAEIAABCEAAAhCAgEUAUYdJQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCAAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQhAAAIQgAAEIAABCEAAUYcNQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCAAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQhAAAIQgAAEIAABCEAAUYcNQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCA5cISkwAAIABJREFUAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQhAAAIQgAAEIAABCEAAUYcNQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCAAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQhAAAIQgAAEIAABCEAAUYcNQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCAAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQhAAAIQgAAEIAABCEAAUYcNQAACEIAABCAAAQhAAAIQ6DABRF2HK4+sQwACEIAABCAAAQhAAAIQQNRhAxCAAAQgAAEIQAACEIAABDpMAFHX4coj6xCAAAQgAAEIQAACEIAABBB12AAEIAABCEAAAhCAAAQgAIEOE0DUdbjyyDoEIAABCEAAAhCAAAQgAAFEHTYAAQhAAAIQgAAEIAABCECgwwQQdR2uPLIOAQgUE9i6dat69NFHs0B33323mjZtWt+RffTRR2rVqlXq6NGjWV4mTJig1q1bVzpfZtkkDinfxIkTS8fThhfMskh+7rzzTjVr1qxSWbO5Xn/99WrRokWl4uhS4Pfee0+9+uqrlbI8ZcoUdcYZZ6jJkydXep+XIAABCECgfQQQde2rE3IEAQhEInD77ber9evXZ7EdPHiwNaLnscceU0uXLu2V8sUXX1Tz588PLrWIoAULFmThzzzzTLVz585OO+giyM477zz1/vvvZ2W64IIL1J49e4J5yPsLFy5U27dvz94RgTsyMhL8fhcDPv3002rz5s1q79692R95RMjq5/Dhwz0ewlP+SHj7EVbyXhsGPLpYD+QZAhCAQFsIIOraUhPkAwIQiE5g6tSpmcMrwufIkSPR468Toc5bWRFjCjp596233hoIh9wuV6jQtQWdCJRNmzbVqZrOvfvAAw+oFStWjBq4ENF37bXXqqeeemrUjOXbb7+tbrzxxqxd3H///WrDhg3Zfwu3hx56SI0fP75z5SfDEIAABCCgFKIOK4AABAaSwKFDh9Q555yTle22226rtMQxJZjXX39dXXLJJb0kQkSMLLmbPXt2b0Yr5J2UZYgd99y5c0fNLoXM1q1evVqtWbMmy8pll12mtmzZMnTCRNvSa6+91lu2qmeDP/zwwzE8dNvQ7UIEoMxqn3XWWWrHjh1Dxy+2HRMfBCAAgX4QQNT1gzppQgACyQmYoklmI5YsWZI8zbIJ3HDDDb0lcTKb+O677+Y61IMu6ISdzCJNnz69h9FXbwi6X6HS3EJFnbyj2R0/fnxUHG0cACnbrggPAQhAYBgJIOqGsdYpMwSGgIC5b62tSxRDRcwwCDptkqFCF0H3SSOuIur08kyzbWimbdp/OgRdFUWEAAQgEIUAoi4KRiKBAATaRsAUB64laG3JrylOXLN1wyTopE7MZbPy/67ZOgTdaOutIupc77j+ri3thHxAAAIQgEAxAUQdFgIBCAwkgXHjxmXlkn1W27Zta20ZRcRceOGFvX1ypoixDwGRgy2WL18epSySrjx1rkEQEZDi1ER98Ifkzxa69smfb775Zq0yRIEZEInYY6pDXGKLOvtwlYDiEQQCEIAABPpMAFHX5wogeQhAID4Bmd2SI/Ll6cLx9uZSURExIlROOeWUpMf065nMqg68ni2r+n5RrdtXHGgx2+WrHPQhMClmjWOLOnNvXvzWSYwQgAAEIJCCAKIuBVXihAAEkhIQJ1bu3JKTDuWqgssvv1xdfPHF6rrrrstmbUznv47okHhkf5E8M2bMSDIrJXHbIkYOq9i3b1/Se9fMZZ1lGWlBJ4J55cqVSU5LtO/ykxlMfbdfF+/m07OPKU4srSLqdBsxBZzOoxzYw8XkSbswIocABCAQnQCiLjpSIoQABFISMJfmudIR53///v29Y+7rOKjmvjzfSYx1y2zf06bjSznTWEXYNSHodNnNu/z033VR0Ene9V7BFMuBq4g63Y70zKG2hUWLFql77rkniVCv20Z4HwIQgAAE8gkg6rAOCECgEwTs/WWSadmjdOWVV6opU6ZkM1uyTE8uUjYffWR7lUI2Keokf+Y9bfL/KQWd5lFG2DUp6CR/9l1+XRV0mrXmF3u2rqyo03UuM9xyUbsMKCxevDjL5s6dO5mlq9JZ8A4EIACBPhNA1PW5AkgeAhAII2CfePjII4+McT5F+M2ZM6cn7OoeTNHU8ktNwF5ymGL/lYt2iLBrWtBJPvP21oVZTPtCmYfixKzbUFEn4aSu5aLx999/X11wwQXZ8mX5b2krIyMjCLr2mQ05ggAEIBBEAFEXhIlAEIBAPwmYSxNl+ZrspRs/frwzS/r+Lfkx5mmRqcvvWn6ZesmnWaYiYdcvQbdw4cLevkLJq++C9tR1FCN+PfsogmrHjh1RljkWibqiPIuQk72o8+bNS7ZfNAYz4oAABCAAAT8BRJ2fESEgAIE+EjBna/TJkEXH8Jt77rpyip8p6MTZ10tIQ8obs2pcwq4Ngs5k0iWhnlc3ur6lXM8++2zt2bEiUSeXi3/lK19R77zzjvre976nTj75ZPXyyy+rFStWqK60j5g2TlwQgAAEBpUAom5Qa5ZyQWBACJgzbyEzV+Y+ODm5ss49bE0gtAWdzN4sW7YsO91Tnib21ZnlNIWdzIpu3749y0OqUy5txvbeSTmZU05inD59ei9oF+rVZzt6H5ssfRSh+od/+IeVZ+18yy8lDbniQ9uSXqYsSy/lIKG8WW9fGfgdAhCAAATaQwBR1566ICcQgICDgHl4SIgzry8dl1kucVrb/JgCyjwERDvpOu91TvCsUn7znj9ZovfQQw815vibeydNQWuKdbnyYd26dVWKlvuOmW7UiEtEVvUAFZ+oE9Gm92vq2Tn9ziDMfJZATFAIQAACA0sAUTewVUvBINB9AvoYeClJyFHwphhJ4fjHJJon6HQapoipe+BL2XzbAqfsPXZl09Ph8wSd/G4LXVlWOG3atKpJjXlP6uPVV1+NFp8voo8//jhbAimPLMOUZcNyimuVmeUQUWfOzunBDr1UOTZLX9n5HQIQgAAE4hNA1MVnSowQgEAkAqYjH7IMsexSzUjZLB2NKejkZddMXGoRk5dpcw+diMkrrrgiOx0xtbAzBV2eIO+n0C1dyQUvmEtMZabsuuuuqyTmdBIhos4Uxnp2jmWYMWuVuCAAAQj0lwCirr/8SR0CECggUFakmcKgrbMPtqArWnJnihiZzdmzZ09Se3EdihJy3UHdTNnXVeSdbmoL3arLFevmt877pqCLJZRDRZ3k256d0++GDJrUKTfvQgACEIBAWgKIurR8iR0CEKhBwLy3LeSQFHP/Xcx7wGoUYdSr5j1l8oNPlNgiJpYIcJWn6JTLlMLOPK3Ud12F5NsWurGuBYhVx754dP5j1mUZUadn5ySfepBA14HPHn1l43cIQAACEOgfAURd/9iTMgQg4CGg7/SSYL49deb+uyZmtcpWnutUx0WLFnmjMWexUt3TFnJtQQph5zr503cSo1nPAi9E7HshNxRAlzf2rFgZUSdF1e3KPCRFD4iEHEbUEC6SgQAEIACBEgQQdSVgERQCEGiWgO3A5y2ptAVTbKe5bqnr5C+1iAkRdLr8MYWdKejMkz9DWDchdEPyUTbM1KlTsxNZ33zzzVp76Ox0y4o6ef/2229X69evV1rE6Vnks846K9ql6GX5EB4CEIAABKoTQNRVZ8ebEIBAAwTM5Xbi/G/cuFHNnz+/l7J535f+y1hL28y0q84I1RF0ujz2aZSxZlPKCLqYwq6OoJN82EK3bSLe1Sx0mVNcIaDjNgc99NLlvGXIYpdyd93555+vtm3blmVZi3aEXQMdG0lAAAIQiEwAURcZKNFBAAJxCZjXFJgxi8CTUxnlkVMa5dEXdsc6JKWuqIsh6FKJGL2PqsrF4uaMnb73LLTW6wq61EI3tBxlw+mZsVh3DoqwPXr0qDp8+LBas2ZNdkm81MXJJ5+cZe3ll1/OrkyQtiF1LI99BYQ+iEiE5rx583ptSOLT1yyYAyhly0x4CEAAAhBojgCirjnWpAQBCFQkIMvL9NH6ZhTisN55551q1qxZSmYXtMg7fvx4xZRGv1ZH1ImgW7ZsWU9ohhwCUpRpe7aurnAVcSUzftdcc02li8VF2IkYELESel+cuUdSylrnYA57tq7pu/zKGti4ceOyfaF5J3uWjc88RCj0XZfNmDZuxyMDJ7GXiobmlXAQgAAEIFCOAKKuHC9CQwACfSIgIunAgQNq9+7dasaMGWrChAlR9yX1qVgkOyQERESfcsop2QAEDwQgAAEIQCA2AURdbKLEBwEIQAACEIAABCAAAQhAoEECiLoGYZMUBCAAAQhAAAIQgAAEIACB2AQQdbGJEh8EIAABCEAAAhCAAAQgAIEGCSDqGoRNUhCAAAQgAAEIQAACEIAABGITQNTFJkp8EIAABCAAAQhAAAIQgAAEGiSAqGsQNklBAAIQgAAEIAABCEAAAhCITQBRF5so8UEAAhCAAAQgAAEIQAACEGiQAKKuQdgkBQEIQAACEIAABCAAAQhAIDYBRF1sosQHAQhAAAIQgAAEIAABCECgQQKIugZhkxQEIAABCEAAAhCAAAQgAIHYBBB1sYkSHwQgAAEIQAACEIAABCAAgQYJIOoahE1SEIAABCAAAQhAAAIQgAAEYhNA1MUmSnwQgAAEIAABCEAAAhCAAAQaJICoaxA2SUEAAhCAAAQgAAEIQAACEIhNAFEXmyjxQQACEIAABCAAAQhAAAIQaJAAoq5B2CQFAQhAAAIQgAAEIAABCEAgNgFEXWyixAcBCEAAAhCAAAQgAAEIQKBBAoi6BmGTFAQgAAEIQAACEIAABCAAgdgEEHWxiRIfBCAAAQhAAAIQgAAEIACBBgkg6hqETVIQgAAEIAABCEAAAhCAAARiE0DUxSZKfBCAAAQgAAEIQAACEIAABBokgKhrEDZJQQACEIAABCAAAQhAAAIQiE0AURebKPFBAAIQgAAEIAABCEAAAhBokACirkHYJAUBCEAAAhCAAAQgAAEIQCA2AURdbKLEBwEIQAACEIAABCAAAQhAoEECiLoGYZMUBCAAAQhAAAIQgAAEIACB2AQQdbGJEh8EIACBhAQOHTqkjh49qk466SQ1efLkhCm1L+phLnvbauO9995Tx44dUxMmTFATJ05sW/aS5gc7TIqXyCEAgYoEEHUVwfEaBCAAgaYJiCM9e/Zs9f7776t333136ETdRx99pBYuXKi2b9+u7r77bjUyMtJ0FZDeCQJbt25VCxYsUBdccIHasWOHGj9+/FBxwQ6HqropLAQ6QwBR15mqIqMQgMAwEzAF3Ysvvqjmz58/lDhMh/qpp55SixYtGkoOKQotbH0CTQu6M888U+3cuXPoBhY0d+wwhQUSJwQgUIcAoq4OPd6FAAQg0AAB04G8//771fLlyxtItb1JiMA977zzsgy+9tpratasWe3NbMtz9thjj6mlS5dmuXzrrbfUtGnTcnNsDizAXSnssOXGTfYgMGQEEHVDVuEUFwIQ6B6BBx54QK1YsWJol7u5akyLEZkxkqWovhmm7tV6Mzm+4YYb1ObNm7PEPvzww0KOc+fOzZa+3nbbbWrdunXNZLDlqWCHLa8gsgeBISKAqBuiyqaoEIBA9wi8/fbbavr06VnGh3nZpavmpk6dqvbu3cv+uhpmfdZZZ2V7NGV/3J49e3JjMmf0Dh48OHSHoxQhxg5rGCCvQgAC0Qgg6qKhJCIIQAAC8QnomRSf0x0/5fbHqPd3SU59SwfbX5rmc2guHyw6eEaW/8pyVxF/HFAztp6ww+ZtlxQhAIGxBBB1WAUEIACBlhJglq64YkyxwZLA8kZsipGiQ2eYpcMOy1sXb0AAAk0TQNQ1TZz0IAABCAQSuP3229X69euz0L79ToFRDlyw1atXqzVr1mTlYllguerVezXlraKZTr1E87LLLlPbtm0rl8iQhMYOh6SiKSYEWkwAUdfiyiFrEIDA8BKQWajTTjstA8AsVL4dvP766+qSSy7JArT5igOZdW3bhfH64BNhd/z4cSfkrvDtd08Bp37XAOlDAAKIOmwAAhCAQAsJhC6Na2HWG8/SuHHjsjTbPJMkeZT8bdmypTUndWpu119/vdq0aZOz3swZqGG88L6MMXfBDsuUh7AQgEC3CCDqulVf5BYCEBgSAjjT4RVd5lj+8FjjhtR5bHqJ6KFDh9SxY8fGXBJu7tcsuvtQn+woV0ccOXIkLpQBi60LdjhgyCkOBCBgEEDUYQ4QgAAEWkhAO9OStbylca5sy4mGIgjlmTx5shoZGfGWTvZW7dq1KwsnpxsWXUDtjcwKIIdsvPDCC9nfSl4kT77HfOehhx7yzmyVuUA7L23h9pOf/ETNnDnTm54v/67fn376aXXttdc2tkRUmIhYkysf9CMzhVK/8+fPVzo/8lveVRkiCM8555zs9aLZPOzwVwRi2GEV2+IdCEAAAkIAUYcdQAACEGgZAXM/XVlnWopiHrDy2muvqVmzZuWW0JwRTHEPnikeNmzYoJYsWVJIO3QGyYzE3M8UkoYrA3qWJdWBNPqkTjl0ZMeOHUmEo5RLhNhNN92UXRKe94hNyaMvHc+bPazLFTsstvWWdTtkBwIQ6DgBRF3HK5DsQwACg0fAFDZV7gUzj/qXZXOyF2r8+PFjQKUWdJKgWZYQgaoP75B7+ULFj5lG1UNlUos6YaFncoqWO9axZhF0F154YXafnDzCcMWKFWrGjBlq0qRJ6sCBA2rdunW9E1UlTNGySnPmqYrgxw7X1alO3oUABCBQigCirhQuAkMAAhBIT6DuDInk0IzDJSK0oBOnfuPGjdmSvFSPPkDCty/LFBG+GUYzr3VnNiWuJkSd5HPhwoXZLFrsy9LNuKU8MhiwcuVKp5g3934VCe3QKw+K7AY7TNWqiBcCEIDAaAKIOiwCAhCAQMsImOKm6nJCKZK5/M0UEaag27lzZ9A+tzqITBGRd4KiOctUZbat7smDTYg6YSh792bPnp3hfOmll6LtXzRtxje7G7ok1qy3OiIUO6zTengXAhCAQBgBRF0YJ0JBAAIQaIyA6aDXuXvNXP6mj/tvWtAJNHPGJ28Zn3b8ZTbvzTffVBMnTizFW4s6eanMwTI6kaZEnS3sZDnkvHnzau2xMw80CVm2ai67LRJrIWI8pJKwwxBKhIEABCBQjwCirh4/3oYABCAQnUDMU/TM5W/i8MtpiCKcmpih02B8S/DMPXFVZybrirovfOEL6i/+4i/Uk08+qc4777zodWpHKDN2ImRl/5ssgbzzzjsLD7QpylCIaDbfNy8dLzoYxhR1VYSymSZ2mNykSAACEBhyAoi6ITcAig8BCLSPQExRJ6Uzl7+JsHv22WeTL7k0qfqOxtfXN9S5PLyuqDv//PPVvn37+moMVQWtef1FyOmdmpXYwp49e3LLHFPUYYd9NS0ShwAEhoAAom4IKpkiQgAC3SIQW9SZMzl1lnPWoZh3ibW5v6vOvq26ou6aa67JxK7M1slJkakfmamTe+vkkZm6tWvXll5yKu9KPHpmMeR00TInq8YWddhhaqsifghAYJgJIOqGufYpOwQg0EoCsQ5KkcKZe+hkqV/VPWt1QZn7uPRskrnXqu4x/3VFXT/21El9lDnl01UHZe/1K7NfM9ZBKdhh3dbD+xCAAAT8BBB1fkaEgAAEINAogViiTgspWda4ZcsWNWfOnGxPXciMTuwCu2bkdDmL7tILzUfoksK8+JoSdfr0SxF0eSeBhpZZwpW1lbyTKF1pxhJ12GGZGiUsBCAAgWoEEHXVuPEWBCAAgWQEYhwcYjvScvm4GW/TyzDNZYJyAuaUKVPUOeeckzGscrG1Cb9L99RpYR1D0NmiLmS209x/5zv8JMYyYOwwWTdBxBCAAARGEUDUYRAQgAAEWkbAFF9l72wTgXPfffepNWvWKD1DJ4JOP3r2pewyTIlXZpcmT55cmZaeTZMDQfbv35/lMcasYZl9YnmZb2KmToukqgeiuPJult138IkZNuRQmjJLNe28pbJDOXRHnrJXXpj5a7MdVm5cvAgBCAw9AUTd0JsAACAAgTYS0I5nGdEjjvTChQvV9u3bVd59Zb6TKF0szOPofRdbF7HUwklmlFasWJEFPXjwYC0HXeLYunWrWrBgQRZfVcGklyWGnB5ZxV70/kF598iRI1WicL5jzlJKgLwZWBF0V1xxRSbM5QmZ1as6Y5zKDste3ZAHuc12GM0wiAgCEBg6Aoi6oatyCgwBCHSBgHmXmG+ZnJTHdKR999CZMzAhSx/NvVWSVtWlg+YeOhEXVQWYXX8xlgmK2D127Fitmcgiu9J7ClMsezUPoZE8iPCWwYCTTjopK9PmzZuzWVGxCy3qQuq9yrLWlHZoHoYjZakqjttsh13om8gjBCDQTgKIunbWC7mCAASGnIDpqPtEVBlHWgtAOQZfn4Yp8ZtLNG30tmioKsbsC6iL7kgrU/2m6Ew101YmP66wWqTHmJm04zdPEXWlLQLo3nvvVS+88EIm8MoI87yrKFzppLZDcz+gpF/1CoxhtsO6dsz7EIBAewkg6tpbN+QMAhAYYgKm41k0uyOO9Le//W21a9eujNbIyEjQbJPE/+CDD2bvyKzOokWLcmnr/VE///nP1cyZM7NwS5YsKV075sxPVYfclWiVpaqlM1/zBcljyD62qskI22XLlvVEm8QjS3BlmassTZU9aCJ+9bNp06agpMwlj0WDC03YoRy2I8tGTz/99J7dTps2LagcZqBhtsPSsHgBAhDoDAFEXWeqioxCAALDRMB0PMselpKSk+yz2r17dyVRp5e9xSxPqPhNySQkblneecoppxTOiIbEExJG6qiK2HHF3Va+YkszZsyoVM5htsMQ+yEMBCDQTQKIum7WG7mGAASGgIDrwu5+F1scYrmKYP78+aWyIqLmwgsvzN7xLfcsE3EbGZXJfxfC6mWPKWcay3KQWce1a9eWPmQHOyxLmvAQgEBXCCDqulJT5BMCEBg6Av28Vy4PtpwSKQdxlD1SXp8uGfOgEHM2s86pnENnWCULbB5E49vfWTLqysFlj+K2bdtKv48dlkbGCxCAQEcIIOo6UlFkEwIQGE4C+hAQ3x1kTdCRWY677rpLhe7H0nnSS/jKXM8QUh5TbKQ4gCQkD8MQxjyIpQ3iWa6wkPouu68TOxwGa6WMEBheAoi64a17Sg4BCHSAgBwOISdVyhNyDH3KIsksh/wp2q9l7x2T/M+ePTvL1s6dO4MOcQkpgyk0Qu5cC4mTMPkE9JUMEqKfAlqfsLlly5bC/YnYIdYMAQgMGwFE3bDVOOWFAAQ6R8C8VyvmfrQyIGR2RC41l9M1ix6dV9l/dfbZZ/dOY4wtSPWpjHJcf7+YlOE3CGH1rHHsGdcybGQPpdiWb08ndliGKmEhAIFBIICoG4RapAwQgMDAE9D3nMU8OTIUmsx6yOXV69at876i9yzpgCK6Nm7c6HXCvREbAcy9hjGvRiiTh2EMqw8ZkfsNY+6NDGUpAwu/+MUvCq/f0HFhh6FUCQcBCAwKAUTdoNQk5YAABAaagCw7mzNnjtq7d2/fl2EWgRbH/+jRo70gkyZNinqMv7nsMvbs30AbUKTC6eXAItZjLqeNlL1eNNhhbKLEBwEItJ0Aoq7tNUT+IAABCPwzAXGor7766tYLu1QVpvdTyTJQBF0qyv54ZcZs8eLFWcA2Czt/SaqFwA6rceMtCEAgLQFEXVq+xA4BCEAAApEIiDM9fvz4SLERDQSqEcAOq3HjLQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCED2oT5JAAAgAElEQVQgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvEQOAQhAAAIQgAAEIAABCEAgLQFEXVq+xA4BCEAAAhCAAAQgAAEIQCApAURdUrxEDgEIQAACEIAABCAAAQhAIC0BRF1avsQOAQhAAAIQgAAEIAABCEAgKQFEXVK8RA4BCEAAAhCAAAQgAAEIQCAtAURdWr7EDgEIQAACEIAABCAAAQhAICkBRF1SvETeRQKHDh1S+/btUwcPHlSnnnqqmjx5spo0aZIaP358F4tDniEAAQhAAAIQgAAEBpwAoq5FFXzDDTeozZs3Zzk6fvx4i3KWn5Uu5jmvNO+9955avXp1rw7McBs2bFBLliyJVich3ELCRMsQEUEAAhCAAAQgAAEIdJYAoq5k1ckszosvvth7q2lHv2R2kwcfFOEhgm727Nnq/fffz5hdcMEF2Z+9e/dmfxB19UwpZbuplzPehsBYAlu3bs1m6uWZMWOGmjZtGpggAAEIQAACrSaAqCtZPW+//baaPn16762YM2pdFEhdzLOryufOnau2b9+uLrvsMvWNb3xjlBMnguTYsWPZMsxYTwi3kDCx8pM6npTtJnXeiX/4CJhtL/aAzvDRpMQQgAAEINAEAURdScopndMuOvFdzLNd5a+//rq65JJLsr9+6623GhmVD+EWEqak+fYteMp207dCkfDAEkDUDWzVUjAIQAACA0sAUVeyavW+K/3apk2bnDGYy80WLFigJk6c6E2p3058F/PshRoQQPbRrVmzJgsZc+a1KOmQug4JE1C8VgQJbTetyCyZGDgCejnlOeeco+bPn+8t3wMPPKB27dqVhbv55puD3vFGSgAIQAACEIBAQgKIukRwzZmJ0NmffjvxXcxzjOrrB/eQNEPCxCg/cUBg0AnotnT99dervIG4QWdA+SAAAQhAYLAJIOoS1W8XBVIX8xyj+vohnkLSDAkTo/zEAYFBJ4CoG/QapnwQgAAEIICoS2QDXRRIXcxzjOrrh3gKSTMkTIzyEwcEBp0Aom7Qa5jyQQACEIAAoi6RDcQWSLLf7ejRo0kvwW5bnnWZZT9WygvA64gnYfb3f//36pe//KU6++yzgw9ZCUkzJIxtvsJKTupMzSxRsymMVttDnePlpb5872t2Kcv40UcfZddn1D1RVeIR2yvas5vSJiTuM888U40fP74SLqmPw4cPq1NOOUWdccYZtXlIJlz114Soq9Nf6X7kpz/9aY+Bz04rAeclCEAAAhAYWAIDIerkoAv5kMtTtF9CPpz6QAzf5nfZWP/oo49mcY6MjIxyNsRBkOfiiy9Wy5cv7xmH+Y44KnJEvjxyTL44/ObjSt924sVhe+aZZ9T999+f3ZWmH9ex+1UttI15zrsEXJzHe++9N8ol4Ga5X3nlld79dLLnxnzsute/PfbYY+qrX/1q7z399zqP11xzTaGjGyLYQsLodOUEz1tuuWWUnejf7r77bnXbbbeNcfyffvrp3kXreeWUOMQOly1b5rR52+7MA1FsG89rN2Yc48aNy/5X730SR3n9+vXq4YcfHsVayiPlCjmASNisWrWq1x51m7znnnsyIfHcc89lh2Js3ry5l5W6B+aYB23oPknbnJmOz6ZdNmAzyTtyv4pNmHXhqkud9pYtW0bZmtRXkQ3ZdpLXfnzxyHtLly7NotN7le1+UtuOtjcJq9u48L788svHdJf2d6Oo/8+zebNeJYyvbnW+Xf2ITkPs/Pbbbx8zEMHBQ1W/eLwHAQhAYHAJDIyo02Lt3XffzR3tNU859G2Y186UfJiPHDkyygJsx1P/aDocPpNxOWKmA/fhhx+qhQsXjnJE7Thfe+01NWvWLF9Shb+3Lc/iTMlpoUWPODrr1q1rpNz2ITfiiPnqRYuGxx9/PFd0hAi2kDCSlmnXeVDEjl966aVRzqHJ+qmnnlKLFi1yvm7XSZHgMe3Jbot57cZM1Axz5513qquuumqMcNbhpUxvvvlmobALYeMqdFE/EmJ4Zt2JDd14441Owa3jEoEqosh+bBuQuli8ePEoJq6+JKTcLpsw0zdn7mVgSZ4VK1bkFl/i27lzZ+FsW0j7KcqXLepOOukkdfXVV48RmCLStC2F1Jdt0y7x6IqnTn+l78bU8eoBJXOQSX5z2QZXhITUKmEgAAEIDBeBgRB15j1j4nyYs2dmdZ511lmZMyROg/xbhJNr2ZA4Hqeddlr2quuDmuecyod29+7d2XsvvPBCb+Rf4jj33HNHWdaMGTPGjL6aDpzMxr3zzjvZzNSll16qxHnZt29fVjY9a3fBBReoPXv21LLYNuXZdFSkjjZu3Ng7SlyPautR+roXApvlNmdCJV7zMa+jsB1SewZMXwmh8yhlEHHgsrEQwRYSxh6okDzpZVuS3zfeeGOUCDBFqmnnYm/btm1z2pLMFMhsmW43RYMJ2lF12WYZUSfvi53Lv2XWa8qUKdmy0ldffXXUDGmeGJKCmA63WVdSTzIIJGWSR+r/937v93piRH6X5YBVlxRKnGbdyf8LO5ktnDdvXpamzLR87WtfGyVGfAM9L774Ym/AQ+K79dZbs37FvjKljk2YBmALB/lNhIfMwMrKA1l2/Pzzz/dWP+hy5tm8zcWebZX0vvKVr2QDWXltxxRbMhAhtil9uTwS38yZM5XuWyWsfnSbFHtyCdMlS5aMsv0QUVenv7Jtc+XKlaPsTbddWS0izO0BF0Rdrc8eL0MAAhAYSAIDIeqkZrRgy3NOxYk677zzekshZamMOEmuO4vMD64rTIhzGuIU2BZlO4KuqxDkYy/l0I5M3RkFMw/9zvPUqVMzJ7doxF+WDF577bW5Tl+VVhoiniReLW7kv/NsR34z7SdvRjgkTV8YzULSLBI3YvuzZ8/uDWiYTrdZprxBDt22RPyIQ5yXloghuQcsLz8h7cacXclz7G1n2p5J1zag8+2rgxiDI0VtWeL/y7/8yzEzivYggau8dp+gxYssHXWJzhg2octiC4e8gRR7tiokXJ4NCZM5c+Zk/YArHtfKAunzH3nkkcIZwhDbK9sX1umvzHbnW+orTOy6lr87cOBAL8vsv6vS8/MOBCAAgcEiMDCizvxIHjx4cIwDJaP92iGV0W0Zuc1bxmeOdLsc3RAHoa5AKloeauavSFyUNdV+5tknpM2y6NmgWGX3iSdJ23RwiwSUzqdZRy5xHpJmURhT3IeIEpOv6SybIsDFU8+CSxpPPPGEmj59eiaoXULKTMM1mxfSbkxRVzQbqx1q4e1q72Z95c0smvkNvUsytE2ZdVc0s2kP0tjLYG1RV2R7sWzCJeqKZnIlvNl35NmHrjOfvZo2Z69EsEWd5Ev29/lmVUNsr4yoq9tfFS3vD7UxwkEAAhCAAARMAgMj6nz7g0whIEurLrnkklznVI/w54m+EAehrkAq2uNkxl13GWIZR8bVdEyns06edTw+h0/yoIVIiLgKae4hAssUaSGzo+aslcuOQtIsCuOzd1e5zZkFLcp8+TQHQ2SJmF6W7GJgLtN0ib6QdmOKuiLO9p41e6bCFKt5gs0UfrEGCDR3X/7M+ima2TXjkbaxY8eOXAETyyZcos63B1neMYW2zbwsa90H24LdFnUhbVHyFmJ7ZfrCuv2V2Z8U9Zsh/RdhIAABCEAAAkJgYESduT/IdqJNx1WcBBF12jm1R9FDnI8QB6GuqCuaOWirqKuTZ800b8+L2Vz379+f7eMJcTRDmnmIwDL3Y+Yt97PTcokol9Oft/yqKF/mzHSoY5snTPWAh2uGRZdBix4d1rV3VddhntgOaTemqCtaluYTTWVFXYxDh8z69+XPDGv2XXYdmPH4BnBi2oTkz+wLQ9qaHgCQd22hYvZZrj3GdtvR+1ztPsWMJyRPOt4Q2ysj6ur2V/bSVun3ZPWInKgsS5hDTnUN6dsIAwEIQAACw0NgYESdVFne/iDt4JlLiLSzZDugpmPiWtYl6YQ4CIi60Y2oSIjq/Y5lm13IrF5InCGiLqTO7bTMeG1bCkmzKEzI+3Z+zDowZ6ZMAWSKG7Ne9DJkHYfN3jysKG/WK4RhLFFn5j0vP2a5Q4VxiD1JmDKiTsKbs1ymmC0TT0ybqCLq8pb42n1zKEMJZ9dd1QGtENsLFXWx+ivzW2Mzkfb19a9/PfdE2jIMCQsBCEAAAsNBYKBEXZ5zqsWeObugw9rOqXauivaQhDgIiLpwUWfPCFx55ZXBrc8+tS74RSOgzxk2Z3rLzA4UOeS+NG1hYM9a5YmAovLnOcSmk+pqI2ZbMMOaQtW3DzV0MCSWqDOFkmvZonkgh2+/WF2bCtmvl2cPRQMDdr5i2kQVUWe2Y3tW0Z5xDGVqnxKcNzDhiy+kzw4VdTH7q6K7BCU/oXsGfeXndwhAAAIQGHwCAyXqTOdbO6fm0iZzNN4Mq//edFiL9jmEOAiIunBRZ9aFb4lZiiYZIrB0nZcRAGa89kxQSJqhM3V5p1barOzj4M1j0l2DGXqppd0WdFjz7337UPsh6syZI6k3OTHy5JNPzo7iNy8jDxFdZe2uzAybxK35yX/nzdT5Tkk004xhE2WXX5qDanY7NkW/rxyhAxNl6i2kzw4VdSn6K/n2CO8f/vCH2cEv+toayVOsvcNlbZjwEIAABCDQLQIDJeoEvX1Pll4WVrRfSDunocuxQhwERF24qDOd2hgXi5dtgiECy3S6Qx3molmnkDRD99SF7gcrEhr2smNz36ktSLWDrusq5mBIzJk6s7wum7DvQixrN0Xhy4g6UyTYKwdC7ETnw1x+HsMmyoq6olN5Q/tWXx1U6VdDBxRCRV0T/ZWwv+KKK3pX1+RtBfDx4ncIQAACEBgeAgMn6syPvnwIn3zyydy7tbQjq5fUaQfKt1cLUfdJAwl1Xn17YUKW76VqliGOc9lrJMxZotSnX4aM5JvCwTXAYR8QpE+IdbUFc/+czLrYbS7vkIeQdhNL1Onyygzd448/nl00rmdA5O+uuuoqdd111yU7kCK0XYhN24eIjIyM9Ew9xDZ1YPtCazMeV9spYxO+Zcf21Qy2CHGtoqjSntsi6pror3xXhFThxzsQgAAEIDC4BAZO1NkHJDz66KNKLhp3jVzbzql2KF0n+5kmEOKcVnE+Qh1Bn0Cqaq79zHPZe+CkjK5LeauUPcRxNvPnO1revlQ69T11UmbfQR+mE5q3xFXPRurTCeU0PldbMJc0S9nkJFJpY76lqSHtJpao0/XlEyNV7CXkHdOmytxTZ9tKiG3q/NjCqq5NmDbvq9uQUyl1WWRQYefOnYWXhee17yp9lMQVYntmvfrSaaK/CrlrMcQWCQMBCEAAAsNBYOBEnVSb3vMjDqlcOC5P3pI57ciKoytOrDy+vRohDoL5QXY5xiI+J0+ePMrK+i3q+p1nc/mY7+4mcbrkaeKgFF1J5hLFvAMMxLG+7777MqEjT95y0hBn3RfGHJQocpTNpW9FglQLPynb2WefnTsYIuXSdWW2G99+yJB2E1vUhQqI2N29WXdFtrJw4UK1ffv2LHmXcPLZgJ3vmDZhH7ufd4qoOaMk+ckTseaAm55BzZvVlbC33HKL2rZt26gi+sRWXj0W7Td09cUh6dTpryR+ubpg/vz5uaZXdDem9DMHDhzovWvf0xjbnokPAhCAAATaT2AgRZ12vsWhe//993Mda9M51WFdS9PsagxxTk0HRu/dEUdZ/v6b3/xm5jRv2rSpVaKu33m2Z7hkluXOO+9UZ5xxRsbp2LFj6uWXX84OvJB6jTULE+o42/mTel23bl1PnAu/r33ta71DDopOrgtJMySM6fgJIxlAmDdvXsbr8OHDSs9Uy//7BI4tCOSdvDv5tFDU7UbC+maGQtpNLFEn+TH3QWqharflCRMmZHuXLrrooqhLMe39fCKmpV/61Kc+ldmx2IqIArHjoroJsQG7TLFswhZ1ko7M4kq7O+mkk9QHH3ygvvOd72RLW/XjWwpsCkCxnXvvvVfJCZdSD0ePHh1js0X31PkG30wupgCTgRb5fzkw5/nnn1cPP/yweumll5QpjEJEXZ3+ypy1lEN75H46OcRHHsmXydXVz9l1U+fwmfa7KeQQAhCAAARCCAykqDOdU4FQNOtjjzL7nBKJL8Q5lXDmEeN2ZbjEY79n6tqQZ3GUli1bls0SFT3C73vf+56aNWtWiJ0XhinjOEv+xAkzHVlX5OKIPfTQQ2r8+PHOtEPSDAkjkZsOaF5BRVQ8++yzhUvezGWVEk/RoTXmHikJ69uHGtpuYoq6onvAXJyk7a9cuTK3zsoYmll3IrT1QIQrjiKxHWoDdrwxbMJefjllypRCuw/pOyWf0ucuXry4J2jzuIr9CTezDYWILVd8dj9vhym6LL1IPFbtr3yH+Oj85dkGoq5MayQsBCAAgeEgMJCiTqpOPpr6Wbt2be4ovDind911Vy+sOCa+pSw6bhldXb58ea6lyGj81VdfPep4anH25Y/MptgOvzihu3btyuKTQw7s5Zk6IXFQZAZGnptvvrlwCU9ZM25LnqWMsoRRL03T5RB2UuaZM2dGcb4lXpO7PXuax0+cKpmls8WdOKJf+tKXvGIzJM2QMDp/YseSF5l10LM/8pvMUH35y18OvsTYTFNmSYtEs8x2yOyKPFIv5hUJLm4h7cZst0V14WsrthMvzvHll1/ey5bMYtq2pXnJgSp5Yjy0PdkDNJMmTVLf/va3x4g76W/EZvKWIZaxATtvdW3CdfqlDJg9+OCDowZd9Cxk0VLC0LxJXLIk9Q/+4A+c/Z/Z9xX1ka56skW+Tkts1+7zy6ZTpb+Svva5557LBqdsWxR7vfXWW3MHGeRdmZHVT2i/FWq/hIMABCAAge4RGFhR16aqEOdKnjzHrU15NUVCW/IsDows92orP8mfPHkivOn6FXsTseUbnGg6X02lZ4uRokEdmWl54403ssEZfTdY3t6xMvkvmnWX+pElmE3aSxWb8F1pIL+LWK0rgPX+sKbsVfKdMq2q/ZWuoxhMy9gqYSEAAQhAYDAIIOoGox4pBQQg8M8EzBmZ0DsFzeWkMe5KDF1K3eZK84m6NuedvEEAAhCAAASGjQCibthqnPJCYMAJVN2HNnfu3GwZXIwDeBB1A25kFA8CEIAABCDQMgKIupZVCNmBAATqETCvcAhdSum7zqNsjhB1ZYkRHgIQgAAEIACBOgQQdXXo8S4EINA6AvZR80WHkciySxF++o5KOaBCrmaou08MUdc6syBDEIAABCAAgYEmgKgb6OqlcBAYTgIi1m666aZRpwraJ2DKwSj6cBShJCeFPvLII1EOMEHUDafdUWoIQAACEIBAvwgg6vpFnnQhAIHkBPKOmjcTFjEns3lljuT3ZRxR5yPE7xCAAAQgAAEIxCSAqItJk7ggAIFWEtDH5kvmdu/ereQi7ZNPPjnKkfytLDCZggAEIAABCEBgqAgg6oaquiksBCAAAQhAAAIQgAAEIDBoBBB1g1ajlAcCEIAABCAAAQhAAAIQGCoCiLqhqm4KCwEIQAACEIAABCAAAQgMGgFE3aDVKOWBAAQgAAEIQAACEIAABIaKAKJuqKqbwkIAAhCAAAQgAAEIQAACg0YAUTdoNUp5IAABCEAAAhCAAAQgAIGhIoCoG6rqprAQgAAEIAABCEAAAhCAwKARQNQNWo1SHghAAAIQgAAEIAABCEBgqAgg6oaquiksBCAAAQhAAAIQgAAEIDBoBBB1g1ajlAcCEIAABCAAAQhAAAIQGCoCiLqhqm4KCwEIQAACEIAABCAAAQgMGgFE3aDVKOWBAAQgAAEIQAACEIAABIaKAKJuqKqbwkIAAhCAAAQgAAEIQAACg0YAUTdoNUp5IAABCEAAAhCAAAQgAIGhIoCoG6rqprAQgAAEIAABCEAAAhCAwKARQNQNWo1SHghAAAIQgAAEIAABCEBgqAgg6oaquiksBCAAAQhAAAIQgAAEIDBoBBB1g1ajlAcCEIAABCAAAQhAAAIQGCoCiLqhqm4KCwEIQAACEIAABCAAAQgMGgFE3aDVaIvL8/rrr6t9+/apKVOmqFmzZrU4p/Gz9t5776lXX31VnXrqqWrevHlq/Pjx8RMhRghAAAIQgAAEIACBoSSAqBvKam++0Fu3blULFixQZ555pnr33XeHUtSsXr1arVmzRl122WVqy5YtQ8mgecsjRQhAAAIQgAAEIDD4BBB1g1/H0Ut46NAhdfTo0SzeCRMmqIkTJxamITN0l1xySSbodu7cqSZPnhw9T12J8Pbbb1fr169Xd999txoZGelKtocinx999JF644031Pbt25XMrIptz5w5U1166aVDZ7Nl23iXDUTq/cCBA8H9WdvLqlcFvPDCC1lWL774YjVp0iS1aNGitmed/EEAAhCAQA0CiLoa8Ib11QceeECtWLEiK/5bb72lpk2blotCnMMLL7xQvf/+++qpp54aesdCHMjzzjsv47Fhwwa1ZMmSoTEjEfe7du3K/ohguuKKK9RFF13kHRRoApDMJC9evDirF/sZtnqS8j/22GNq6dKlGYpBL//bb7+tpk+f3vmySt+ybNkytXnzZmeTOX78eBNNiTQgAAEIQKBPBBB1fQLf5WRvuOGGnuPgcxR02Ouvv15t2rSpy8WOlnc9cykRylLUQZ+5lJmDW265JZsBcz3333+/Wr58eTS+EpEMPIh4lOfmm29W8+fPz43frA+ZTb711lvVueeeq/bv358tk5UBjGES34i6dgy0SLuRJdv68fWfc+fO7bUxWeL9pS99KXtVZuxE6Pn66qgNkMggAAEIQKBxAoi6xMi3vX1U/dWP/k79zZF/yP49/pR/kaU4/dOnnPjv/1P9u/n/T+/vEmclWvTjxo3L4hLHYdu2bbnx6n10EsA3oxctcx2JaFjErjims2fP7s2Aic1cddVVmZh9+umne38fezmqOfBQNNNkzpzedttt6p577hmz11HCDNvBNszU9b8jMWcQJTdFosysL1dfO4w23P8aJAcQgAAEmiWAqEvA+6Nf/qP6+sYfKS3ofEnMnTZB/cH8/ysTeG1/TEfDN8MydepUtXfvXsUs3dhaNWeHXnzxxcKZpLbbRF7+xJGcM2dOZgPyvPbaa6NOPZXfV61ale0xlCfmMr9QUWcOPBw8eLAVS0HbUN+Iuv7XQhlRp/va2IMj/adADiAAAQhAIJQAoi6UVGC4B5/9m0zQibAr+3z2t35DPbDs/1Ui8tr6yOzKtddem2WvSIyYzrLtzLe1bE3nSztivhnPpvMVKz1TGOTtpzSFX8yTUcX+RKTJM2PGjNx9n/9/e+8D9UdV3vtuWm2NoPkjkGqTaLGhl8INmJNc8w8hkoS23lVCEuHUICkJELm9ckjg9JqDLdqGBe0C8dDVG/6jSNqTCCTcW638K4lJAA+cKKzEXKFQDOgpAQlQMNZWuTyD++V5552ZvffMnvnN/H6fWYvVmnfPnmd/9p757e9+nv1sm7hGyhGe9lbPI+pivQXl65H9yPKNtVdeCLB4w2WfrlwxF0bKW86dEIAABCDQCwKIukjURcStuvZ75kv3/KByjSLsLjj1/ZXrqaMCm5Zf6i7aD2b3d8hEfd++fXWY0vk6dcKZftxbZ0Xr0UcfbXbt2pXbX3oBoOlkOiH7Qzs/4AIagKgLgNXjov2S6KXHGHk8BCAAgc4TQNRF6EIRdKf+2XfMD3/0E/P1tVPNB9/7TvPftv6z+YPLHvOufe9XPmImHvaOofsuWXqE+dwnf9P7/qYK2ol6kViTFeaJEycmJhEOlN8zeoXdFcraVP/Gek5o2+w+zaZDdRF12T2OqIv1JtRfD6KufsY8AQIQgEAXCCDqIvSSCLrND+wz//y3J5rxY3/FPPk/f2x+86ztw2o+9/cmmDM++t7k31498DPze3+yc9jff3f6oeb2PznOjPqVXxoSdpv+9DizcNbhESyMU4WEyo0dOzaprGjy7RuiGceqbtdy+OGHJ8lCXN6srrVSjwGf8NteiatePbft/Ymoa3sPvWUfoq47fYWlEIAABOokgKirSFf20EnY5SN/NcP8h8nvNgd++nNz3HkPmMd/8ONhNX/zijcOMT7mTUEk1+dufdJ8/o3/9PX1P59qRNzJtfLq75rrvv6s+fZfzzSy166pS7xse/bsMa+88kqSal8OrbWZ/3wnD3qfEskninuuX1n5hulaOr0KRW1K1Mm788gjjyTNlaMS5MgE30PN5V65Ro0aNez4C/GGPv3008newaJ9g3kjsOhdb0LU2UOyX375ZfOjH/0oiIk+HF1/o+xB4sJaogWOOuooZ/Ib3+9aU9/g0Od03f7Q9lIeAhCAAASyCSDqKoyMp587YD70Rw+a/7Tw/eZzZ3wwqWnbrv3mIxc9PKJWH1EnN+2/7aPJEQcS0jl2yT8kSVPu/8tpFaz0u1UmSRdeeGHmwbUSQnnRRReZO+64Y+hA4iLvi/U+he6nS2dL9BGEWjzE3o+l93r5hke6Uoune0OX9/Fo+fVm70uFiqVQbq4WFtWn/1ZUT9VjOGQ833zzzckxCVmHmsuzxeN97bXXFh6ZkDWHuh4AACAASURBVA5Nlcypcu6fzSpq2yDv25133jksw2hW+9JZR3UZedeXLVtmtm3bVtvh40XfGstk7dq1hec3pvtXhN0VV1xhLr300hFNzjuqwhYsEkV6HPvue/XdS+oaw/L3orBk+7eiemKEM+tQap+IAhlfCxcuTM7MkzF577335iYq8mHQpjL698b3e23HUMxEUG1igi0QgEB7CCDqKvSFeOjEU2eFmFT1Wyu2j/DSyb/7ijpd7u8ffiEJ06w7DFMmiXJ2WHriKVkZ7YHR8oMkYs1OJPfv3585EdX76cpMKPQEy3W//oGt41gA3RafDJW6vEwk161b5xxd/brKXkXUxRDnbRB1afEo43nGjBlm9OjR5pZbbhl6t2SivH379lxhpyf2cr8chi6X3CdJiNLvbZEY1RNuPTjTdel3P2ZGxfS5hfJc+U8u+bbY74tLoKYzq15yySVD92rbbRuLviVF76A+esRnf7AuH2Mct0HUCUNfz21a0O3YsaNQnDs/kC0rELrQ18skUC1DhzkQgEADBBB1JSGLJ+03/vCb5tI/nGz+j//9zaQgWXvpbPW+ok7CLyUMUy4J5Xzn79+b7KsTYVfHlT4LScSIhAROmTJl6HF6f5SdTOZlMww5xy6vPToUL0+s1S3orG3W6yj/25XyvsyKbIiIzeNlQ87qGB9SZzrsz+c52ovg4hYyafR5drq+tMjRoXvnn3/+kLiScvrSYX2+z9XlZEK3atUqI+N5+vTpI0SbHsNFgsGyFKEjAk7eUSk/YcKE5HEyhnQ7ihYUtNiW+i6//HKzaNGiIdtEdIkX0C7mSP2xRJ0WdPLs9evXjzifUdoyb968IaGa5x3TIkPqkkvXJ++EjiyQv+fV5VpYsZ43qSNvMcv2uw6ndpX1GVNFos6G5QpXe8yMjAsRsPYq8+7m2WUzGsvfs6IoYgk6/X76MAotM27cOGdIbl6d2mvpWnQUHnLUhLyzrrKhbaA8BCAAgSwCiLqS40ISo0iClH+8eU6S7VIu61nLqtJX1CUTh1+EYMr//3//3TPm4i89Yf7pSx9JwjJjXvLjOXXq1KEJVJG3SwutokmjXpksOxl0nV1mJ8Ou1fwYrPQkrcgDUmVFtmrmRy0OYrQ5qw4fYabva7Oo03aGehRD+Mr7dcghhxSGVvoIBs0yL/xNe4nFxqz+0mNU3p08L0ram1f2PU6z0secFHlwtPjLa2/aC+qz+JPXDpeo04taRSzqyPrr821w2R8yZovKFgkaPWbEU3r99deX9tDpdyKW7bqeqgLLd6EvdF9xHW2lTghAYLAIIOpK9rfNePn6NxYM1ZCV/MT+MUTUaaG4+/uvmmNWPlBLCKYWLK5QIZ+DpKWtvmE6Lux6oqK9GFrQNRHa49OeqiuyduLms18lixueupFUfPfo1SnqXGNc/q4XS/L26GhRV7Twoj0pWV4p3VZXuLLPuPdpny0Tutijn59lq/570XujwyHzFqNcoki/30XP8h1zIdzaJOrS33fbL2lBt3nz5sKFDFf72+ypE9v1e5S30OcaUy4G/B0CEIBAGQKIujLU3rhn7h8/Yk6YMnYoQYpUk7efTv4WIup0WZswJfaB5KFhf74eK9dkLAS3nvDKj+fGjRuTRAhFXoaQ+n3Kak55k8KqmRtDvVo+dve6TGibYosI3wl2r0WdT7s1y6LkQUWTTX0ciU8CIx+7QsZYaJZX1/Ep2r6i0FWf75zPBNwnJDxmghTLtm2iTuzSHtedO3eaM844IwnXFQ9dVUEXMqZ6VdZngdMycu2X7VUbeC4EINCfBBB1Jfv1N5ZtM7f852OGHVNw0O/cnVtbiKj76//zqKF9elYs/sGJvxb1MPLQLF46JKYoFM93Mu2DPZ0NU+5pUtClJ1ZZq/Shh2xntTtUAPmw63UZ3xAla2dsEeE7Drsm6orevSJR57M4ocdM7P4o443Wnsd0u33tiyXqXAmgYidIabOo0988a+egCDppb14UiWURekZnr7/VPB8CEOgfAoi6kn0pAs6eTSdVPLf/p+bX/mBLFFF3yRvHI9gjEqRCCev8/nM/MTdf+GaWuBhXyLEDetXclQXSdzLt2wb9A1p1r4bvM9PliiaXdiJdZUW2H0VdqFjyWf0O6T/fcRhqZ4gNWWVlPD/33HNJogm57rrrrqFjRPL2a/mOjyJRp0WHzx45X9Hky8PH45Suq+g4AV/7Yok6sa3I26jDwiX01Z7t6csnr5wPNx9PY1U70vdr/q4jI2I/u9f1FXmRdaiubwbkXreH50MAAv1DAFFXsi/FUyfet4mHvSOp4Znnf2ImffKbubWFeOqyRN3Lr/27kRDMGJfPREc/R08IXee16R9733N8itqkw55cgjIGm6w60mGgNjOo5lKlrb6T9rraV0e9oed75TEua1ubRJ2s3P/VX/3VsIySWe2qU9T5JvuwdvmKJp/+cXm58uooEqm+9vl863xFUV5mXz3J9zn2wIeZLdNGUSftXbly5dBihOs3IaS9XSmbt9Bnv2MSUSKhqTZDbVfahZ0QgEC3CSDqSvaf7KmT8MsmRJ1kwNy3/1+jhV9WWbVvMsGCXf0WMffd7343ydLp42Uo2aW5t2leuv02JLXqimw/irpQkaYn8D6Hzrv6uA2iTkTAJz7xiWGHhEvmvZNPPjkx/6ijjjJf+9rXhg7MrlPU+QqXOkSd1Fk1/DI9Jnoh6qQdWfvmdBIY3wPKXeO3raJOJ0WRsSz7nOUqygzs29YuldPfNzs29eKFK/FYl9qKrRCAQHcIIOpK9pUcPL560fsbEXUSfnncEe9KzquLcflOiOyzQrwuoR6BvPZoQSeb7/WZU7EnTi6m+sfaTrxtO2OsyNoJb1lPpNhiJ1eutpT5u5zr5HOQuq47NNthSDiwTxt6Ler0vqO8M9mkHT7voq/oL/JshZyv5WuXTz/YMnpPro9odyV28eEmz47pqZP69Li23nkblln2/S3i2CZPnRZ01iMZI/w83X759st4reuSRZXly5dXql6PAyto6xwHlYzlZghAYGAIIOpKdrWcU/cfJr+7EVF3+cZ/Mv/xhF8zHxg/qqS1w2/TwssnXCgk6UWoRyCrQWlBZ/en2IlhHZMnF1jtlbvsssuGDpWt6jksG5qm7RXmkhW0rmvy5Mlm7dq1QdXrdrn6SwsOn/HoY0ivRZ3vGVU+4iSGqBNm+j12CSsfu3z6wZbRng2fd8b1jfK1L7ao0xxlrF500UVm7NixSTNdUQwhvGzZtoi6LEEnNur3PFYYZt2LVOJhXLx4cZnuGLon7ZWTb+Sxxx6b/H3QvJaVQHIzBCAQlQCiriROOWrgyf/540TYyVVnopT/tvWfE1EX69ITHfEiFG3s15Mrn0NbQz0Cuk0ycVizZo255pprMtNjh4aN2rrlvh/+8IfmpJNOKp3AwK7C2vC5FStWJDZu2bKlUrfk7dOpVGlLbvY5z0lMDc3E6tO8Xos63wQsPmInlqjTz3KFDGvPmo8Ic/WJTIKnTp2ahFC7MtjqslJvlgDtpaizz5bkSHLI9qxZs5I2xUyQ0iZRJ9/0c845J9kTmrXoEhpq7RorXfm7XSSR98MmPIolbLvCADshAIF2EUDUVeiPx5/9sTlywjuHaqjrSIM7djxnFs0eX8HSkbfqVfs874ieOEkNvpO7MuGEeiW4aIIUEgoqNus2VBFhVtyKqNu9e3fyX4wVWS2a+20fRjpzadYZVrpM2cPXs16MXos6PdHN61eZLM+ePTsROkXvVyxRlxZLee+zFtkh773rA6XHurzj9957r7FJh+y9WkAUPbuXok57aUQcyyJULA9zmmGvPXV6jOYt6qUPZ9++fXvpxTPXGGrT3+1Cn/S9PT+1DmHfpjZjCwQg0G4CiLoK/fOTn/7cvONXfmmohjoOH3/1wM/MIaN+uYKV2bemBZtMqFevXm1Gjx5tXn75ZSMrjiJc5N/l/8rlm+HR10thLUsLuh07dhgJZ8m6QsMVtS0hbUg/W4sP+VusFdl+X+XWaeDTR1LIJF/+bkVNDJFs+63Xoi49XqyHd+LEiYnn6eGHH07EgL7qTJRin6P3Asm/2ffe2mXfexFdLrFZ5qOUFowiiqZPn55UlWZSJJR6KerE1nQ7XOGsZVjJPb0UdVrQuc6hC91DW5ZHm+5L/4b6/j62qQ3YAgEI9BcBRF3E/pSEJp9/47+sK+RIg13XzjJHv/+QpJrXfvIzc/A74os6qTsteLTd8iN+9dVXm/PPP38oFbvvxCVEqIQIOmufjxcka3Iv/+brbczqQzvBihlqZVNjS5379u2LOBrbUZXu3yKLYu9H6rWoy5r4p9tvBZWE8haNzVieurx3Qttlk7rIu+6yq+wIS4v5dD1iw+WXX16YzKLXoq5KmHkIt16JuhBBZ9uj0/w3ncwqhGmssj77NWM9i3ogAAEI+BBA1PlQ8iyzbdd+85GLHs4s/bvTDzVrTv+N5G/iffu9P9mZW+v+2z5qxhzyNs+nVismkyO7H0C8CeIhk/9rw6Lk7/byzRgWkixFVnjtQczHH398rodOt1KEgmTDlEs8i65N7/KMV155xbzvfe8ze/bsKZ35zE5aYgkQneHPtcepWi/3/m4ZR5/5zGeGvD/WIhlrkoQlzzNb1nIZg4888khy+4IFC3LPi9Ljz3d8h9gk9d9www3m/vvvN7/9279txo8fb2bMmJH8N3PmzCTRhIwnuaZNmzYiHFH+3fcd1G0parPUKXwko+m2bduSxYS5c+cm773dd6r55dkVwiFdVsb+fffdl2RtFTZyWRs+/OEPO8/38rVP8xVv5Pz580eY7dMHWW21+w5jfQ+ynmH7Ps92uaes/Xn9Z/tGIjbkWrRokVc4pQhBGU9yyXEdMr77+dLfb98Fz37mQdsgAIHeE0DURewD1wHkPo8S8ff1P5/qU7TVZeyevSr72GI3UBKmlBV1NrzIJ1mMr906ZKnOiaGvPU2Uk4nfgQMHkkdNmjTJa7LYhF08AwIhBGwYeL962ENYDGpZG4JbJfpjUNnRbghAoB4CiLrIXMUD9/cPv1C61geu+t/MzKPGlL6/LTdmHc7aa9tk1bvMCrJOBBBzRdaGvzIx7PXI4PkQCCNgv2+x9taGPZ3SvSZgo1FiJnfqdZt4PgQg0H0CiLrIffiDH/2rmbB0a6laj/vgu8x//68zzNvfdlCp+9t0Ux3nF1Vtn4RPZmVgdNVrJ3AxV2SzDjR32cHfIQCBdhCwkQgxF3na0TKs8CFgQ/FjJnfyeS5lIAABCBQRQNTVMD5e+fHPzH9a9/+ZL93zA6/aRcwtm/c+80e/P8m8/Ze7L+hso214SszEIl5AMwrJyqrs3wk9RLuuFdk2sSnLlPsgMIgE9PEmGzZsGEQEA91mm6SnrmMsBhoujYcABCoRQNRVwue+efMD+8x3nnzFfH/fv5qnnztgXnrt38wHxo8yYw5+u3n/4b9qFs4ab0TU9eOlwxZjernKsJKV1VtvvbUwAYN4z2TPnYRoTpgwIUkmMW/evCS5R8xsbtpL129n05XpG+6BQJsJyN5X+03QWSHx0rS51+LYJr8Br732WtL/Y8aMMVbQS9jloJzHF4cktUAAAk0QQNQ1QXmAnyHJSWbNmpUQiCmMQpCKV0wStmRlvtP1pM8Ws3+LncTE7qVrUxKZEJ6UhcAgEdBHSth2s5duMEZA+iw6abVEnhSdpToYZGglBCDQRgKIujb2Sp/ZZEMNeyFixCv2rW99y3nsgSC3q7AWv6zGXn/99VFTc9tnyMRg586dztTtfTYUaA4EOkfAHl2AoOtc11U2+LzzzjPXXHPNUD11HcFS2VAqgAAEIPAGAUQdw6ARAtY7Ncj7EOyBxaz0NjLkeAgEIAABCEAAAhAYGAKIuoHp6t42VPbXXXHFFUaEzdlnn+0MheyttfGfLh7DSy+91Lz44ou1HLYd32JqhAAEIAABCEAAAhDoCgFEXVd6CjshAAEIQAACEIAABCAAAQhkEEDUMSwgAAEIQAACEIAABCAAAQh0mACirsOdh+kQgAAEIAABCEAAAhCAAAQQdYwBCEAAAhCAAAQgAAEIQAACHSaAqOtw52E6BCAAAQhAAAIQgAAEIAABRB1jAAIQgAAEIAABCEAAAhCAQIcJIOo63HmYDgEIQAACEIAABCAAAQhAAFHHGIAABCAAAQhAAAIQgAAEINBhAoi6DncepkMAAhCAAAQgAAEIQAACEEDUMQYgAAEIQAACEIAABCAAAQh0mACirsOdh+kQgAAEIAABCEAAAhCAAAQQdYwBCEAAAhCAAAQgAAEIQAACHSaAqOtw52E6BCAAAQhAAAIQgAAEIAABRB1jAAIQgAAEIAABCEAAAhCAQIcJIOo63HmYDgEIQAACEIAABCAAAQhAAFHHGIAABCAAAQhAAAIQgAAEINBhAoi6DncepkMAAhCAAAQgAAEIQAACEEDUMQYgAAEIQAACEIAABCAAAQh0mACirsOdh+kQgAAEIAABCEAAAhCAAAQQdYyBIQKPPfZY8v+/9tpr5uCDDzajRo0ykydPhhAEIAABCEAAAhCAAAQg0GICiLoWd04Tpj377LPmmmuuMdddd515/vnnMx/5qU99ypx55plm5syZTZjEMyAQREDG8N133x10jy48ceJEM3/+/NL398ONN910U9KMIhY+ZfqBxaC34YknnjDbtm0bwnDUUUeV+vY/+OCDZs+ePUk9o0ePNieddJIZM2bMoOOl/RCAAARqI4Coqw1t+yu+5557zIIFC7wNPe2008yGDRu8y1MQAk0QEA/zscceW/pRjGtjDjrooIRfEQufMqU7gRtbReCYY44xu3fvTmw67LDDzOOPPx4kyPRvi9y/Y8cOoj5a1cMYAwEI9CMBRF0/9qpHm9KC7uKLLzYf+9jHkpX6CRMmGFmtfeGFF8zXvvY1c+mllyY1Hn300WbXrl0etVMEAs0RQNRVZ+0j2HzKVLeEGtpAIP1O3XjjjWb58uVepqV/W0QQEsbvhY5CEIAABCoRQNRVwld880uv/rv50j0/MHc++Lx56bV/M/K/5f+OOfjt5rgPvst8YPwoc8L/OtYsnHV4jVaMrFrC1US82VXYe++910yZMiXXBilvhd26desatZWHQcBFID0Bff3111238PcUAR/B5lMGsP1D4PTTTzcbN24c+p3w8dbJYuCRRx45BEHCogc9tLl/RgQtgQAE2k4AUVdDD2157EXzXzfvNfJ/Rcj5XBec+n5z1crf8ilaucxnP/vZIZEW8qMrP9isuFbGTwWRCSDqqgP1EWw+ZapbQg1tIaAX/8SmL3zhC2bVqlW55snvw+zZs4f2Zof8trSlzdgBAQhAoMsEEHURe08E3OfXP5l453zFXPrxIuxE4NV5HX744ckPr+x12LdvX52Pou6aCdjV9EHeF4aoqz7IfASbT5nqllBDmwjoBUCx65lnnknC89MXgq5NvYYtEIDAoBJA1EXq+e88+S9m1bXfS7xzVa86vXY6PGaQhUDVPmrL/Yg6YxB11Uejj2DzKVPdEmrQBMRb9q1vfctIiPyLLxb/towbN87EDo9/6aWXknBKmxlZ9l6vXbt2WCch6BizEIAABNpBAFEXoR9+8tOfm/d+Yktp71yWCWec9D7zlf98TATrhleR3k+Hpy464kYrRNQh6mIMOB/B5lMmhi3U8eaYln3Mek/b3LlzC9HMmDGjMDyyLFc5ymLFihVDt2tvnYi+OXPmDGXKDEmoUtYe7oMABCAAgWwCiLqKI+Pnb+RkOOn/emSYh+53px9qrj3/t4dqXvu3T5nrvv7siCd984rpSbIUufa99FMz7dMPDSuz4b8ca077yPiKFo683YZfyl/Y9xAdb6MVIuoQdTEGnI9g8ykTw5ZBr+Oqq64yq1evTsLjzz333OSYiaJEVk3w0kccyLml4hEUQbdw4UKzdevWxIQsL14TtvEMCEAAAhB4kwCiruJIuOqO75vV131vWC2XnPFB87k3/rPXtl37zUcuenjEk/Z+5SNm4mHvGPr3g35n5AHKL2yca97z7rdXtHL47XqfhEwcXNkvix4uK8r28p14SLjOgQMHktv0PfoQ6WnTpg39zR6G+/DDbzKcN2+e+fCHPzxib4cNVfr2t7+dHMlw8sknG11PXjskBbesPstl03bLhEWeJ0c4PPTQQ0ZWweW/rAPY7SG7d911V5JI5kMf+lDQQbti91e/+tXkOffff7+RFXmpRyZPWftXNPPzzz8/mVSdcMIJ5uqrrx7RxHSf5DGWG207pN0yaYvZt1K/rm/SpElB5165xqA+py5m9kvdN3Ju16GHHmrkMOZFixY5s/rlHdZtx/NTTz1lli1bFiX5kK1TxqBcYqscQSKCwOfQZx/B5lOmzIeqzLgoc4+PbfLe7927Nyk6atQo776x9oTck2XPeeedZ6655pqk3yTMsS2JqdLHFDzwwANmzZo1lQSdZp3+LfDpK8pAAAIQgMBwAoi6CiPitZ/8zByy8L4RNcQUdXOPHWf+4S+mVbBy5K0yUZ06derQPgkpYc+pyxItRQ/XAlF+6F336z0a6T19em+UhPHIxHnlypVDIUhpO7SXMR0ipMu6VpB16m4RBDKBWbp06TA+tj4RT5s3b04EiUykzznnnKGJjX6m74G7RXZLfbfddptZvHjxsKbbybXPoEgLnDRjEbHyb5/4xCeGQqikXrkvZt9KndruRx99NJr3oa49da6+EdG0adOm3Il3WgTJe3fhhRcOG89VORSNQTs+fBZufASbTxmfMZkuozn7hO+Vzd7rY5t8n8aOHZsU9T2X8/bbbzdLlixJ7qkS+WDbZT1hPvY2WUZ/J0O+r3k21vXeNsmEZ0EAAhBoEwFEXYXeuPL275uLrh/upZPqYoo6qW//bXPNmEPieuvSK68agwiXM8880xx//PHOleLQxCv6uekJkP6Rl/TZd95555AXSvZtyLPsHhNrr0yK5d9k/4lMwiQcSMqJp0L+s1fRZFFPVsSmBQsWJKFPVkxt27ZtWF12Fd2m75b/LSvqafukjqKzndIeU1n5Hj16dGKytN/an+YUU9TJeYXSXn3ZyWzMvpX6uyTqivpGPJniTZFL+nj9+vWZXjstgsTrotO923t37NjhfMeKPlFaENn3VjyJBx98sLnvvvuSMD6fZ/kINp8yZT+nJ5544tDiSNFh1XUKOmu7tiUv26MtW7RIFcJCvOSzZs1KPHQbNmwIubWxsmkRJg92LZgVGYeoa6zreBAEIDAgBBB1JTtazjf+pd8dGS4p1cUWdRv+y5Q39tb9WklL82+TicQpp5yS6ZGyd8kEX/Z4FB0gq0WRaxJkJ0xZxylkTRrSnoz0Pg6pRzKzZU0u0hPzvKQw6RVoWSm/7LLLhoUHpkWwPFeu9KQ8nQkuy9Mm99lJnPz/2vune8vaXyQOQyfamrE81+6Hkf9f2pz2tMbqW2mX1GWvmKFl6XEjE2PfK8sOu6fJTlovuuiiEaGiup/zvLK2b+QdkrFnjxERETh9+vQo4acyjm655ZZk/GeF6upxWyQYfMaRTxlf7ulyPgsITQg6sSvEQ23DJeU+17eviI3sWZMxUlXkl+Xve59ur3wztmzZ4nvriHLS58LaXm0Vs6UbyI0QgAAEGiaAqCsJ/Eev/Js59LT7M++OLeqO/PV3mu/dOKekpcW3iUi64447hnmGsu4oWpHVE8eicnrilnWQbXpynuddy5rE500I9Ab/PA+AFi5FAiot/vJC5zSPvFAqa5dM+Ldv3547wbciOE8chk60Q1fbY/VtLYP3F5Vmtcn3eek+1HW5wuBcQiTtUc0T7762ZpWT91dCgYsuH8+TzzjyKVOlLdrrmB7veoGjyh5gH/v0mC86cDsrlNmn/nQZu8BTxetV5rmh92RFd1QRsqHPpzwEIAABCBQTQNSVHCHf3fuaOfrcHY2IOnnIT/7feeZX3/5LJa31u032/OzZsyfx3si+MR2+KDUUTTqsSCkSRXoFPGsykJ6c79+/P3fCqifMRftYtBDLE2G6TNEkTk86i/bb6HZkeUeKQlDTPWXL5nlZQifaIYLY2hKjb/1GYLlSWYsBvjVJ6Kn2cIV6XvSYTo8vPUZdobi+9pYpp8dt3rviM458ypSxT9+jPfk2dFkLuiY8WS6xnn4vfPfe5bGx7au6v7Iq+6L788L1XQsfddpE3RCAAAQgMJwAoq7kiPjSPT80Z125qzFR98qmj5p3jXpbSWvL3SaTZZtd0daQlwxFJwvI8ir57D1JhwYWhfboCXPRanGoqCtK9qInx0UC1yXqtBBwZWrUiRuyyoZOtNMCyGelPUbflhuBfnfF2pujWfuGlqX3ga5atWrIaN+FB79Wli/lk4jEZxz5lClv5Zt3akElguE973lPsl/WN/FQ1efb+/WxL1nvnWZaVYzZb1TRIlasdpWpRws6eS+uv/765EBye1VtfxmbuAcCEIAABEYSQNSVHBVf3PR9s+rakUlSpLrY4ZdS5/dumGOOnPDOktaWvy29hy1vsqtFW9bKtY93yiWGdCv0hLlIGIWKuqIJis/kWGx0tUOHw4X0TGxR5+thiNG3Ie0MLRtL1BUJtCKb8sSO78JDaHtDy/uMWx/B5lMm1Las8umso00LOrFJfzfSYds6e3AMT5UISLlch4u72EqyJtkjGvPSIlv3g16YanNyl5gsqAsCEIBA2wkg6kr20Ngl/2BeevXfM+/uJ1EnDZRJjGRJtFeed6coFM1OkqqELfaLqAvJXqnbnCU4QyfaLsGZ9zpU7duSr5nXbbFEnU5e45Na3xqXt8Dgu/Dg1UiPQvbcr0ceecTIGXgyIZdLZ4LNa5fPOPIp42GmVxG95/Qb3/hGZhIYr4pKFtLCMu2990lgFPJY6xUMSfCTVX9sUVeUDCj9m1DlKIcQVpSFAAQgAIF8Aoi6kqPjQ3/0oPnOk//SQmxGowAAIABJREFUmKh78ubjzRHvHVXS2uq3ae9SnjdL/9Dr8ET970WT5RDB4TthbqOnLubkOLSusskdqvZt9RGYX0PbRV3dngzpGwlRtMcsFLHugqjTCwjSll6E9+W9J/rf85IXhY71NoZf+mR31f3k6/UPZUN5CEAAAhDwJ4Co82c1rOTcP37EbHnsxcZE3bPrTzC//p5fLWlt9dt8xJE8xZbTiSH0nqyiPVyDIuosI999W0W915Soq9q31Udg/aIuJPOltUaL3XR/hvZNGUbpUEURkCeffLKZNm1aUt2kSZOS7LYrVqxI/nfbRZ0VCsJSztsToerKEFuGm889tv90iKV9d2MKdXuERi/EaxaH9LEseV64tLcuxLvtw58yEIAABCAQRgBRF8ZrqLTsp5N9dVlXHeGXL2yca97z7rgHkIc0vWiPia5HT4ztZMB6+Vz7TwZF1Olz0HwSlbRF1FXp25CxFlo2lqdOJ0rJOkcxy66iIx/qFnXpsw5vvfXWzDDFruyp04JOsu+++uqrZurUqcn5fkVZaUPHi295+92yAk7zLjog3bd+W87W6/o+htZbpryvoLN1p88CtRlLyzybeyAAAQhAoBoBRF1Jfpsf2GdO/bPvNCLqxhzyNvP8hrnmbb98UElr37pNJq4ySZL9F76XXpH1CbOx+2FkkiJhmHY/XlFmSbFlUESdTj5QdXU7VDiUDb+0Y6Vs3/qOtTLlYok6ebY+0sBnn1BRWHJo34S2XdtalDmxC6IuLejs2Xsxs0yG8tWLL5KkyI79OgRmGw4fTyfF8hn/OomS8G37WXuhY4DyEIAABLpEAFFXsrdeO/AzM+GTWzOTpcT21C2cdbjZ9KfHlbR0+G0yAZ43b55Zv369mT9/vledevLoI0Ks90K8HfIcOQvMRwwOiqgT6L7hrLaDhGlWf+mEErt2ZR+xoTu5qqgr27deA61koZiiLi/bX5ZpWnBkhePVLer0GCoSddqb0rbwSxEFK1euNBs3bjRZh7PL3+fMmZMkewkJw5SQb6nzggsuMDNnziw1stIZe+13bPv27c4D30MfaMdwjJDs0GdL+bSgCxFn6RDgqtEHZeznHghAAAIQMAZRV2EUfO4r/2g+v/6pETXEFnX3/+U0c+KUcRUsfetWvb9NJkmyGj19+vTMSUo6AYPvpEqv3sokRQ4z9xGDgyTqdFp0Eb/r1q0zixcvHtHHMrGUJBgvvPCCyRJteeJQ6pf9SOIt1YdrVxV1ZfvWClnbQEm9HuItLhr8MUWdPEdPUqVv7rzzzmHCQBjcfPPNZvXq1YlZUmbnzp0jQh/rFnXpcxMvuuiiEe+xft/F1jaJOi0k8hiKzTrs0cdLlj4ou+xeNR2hIKJdRKIr2qDKR9p6BpsOw6wi6KwglHPrJAJELt/9hrKAIgsO9tqwYUMVfNwLAQhAYOAJIOoqDAE50kCyYD793IFhtcQUdTG9dGJkesJjDZcf4hkzZpjRo0cn//Twww8Py6YXelZUevXW52DdQRJ1wji9f0VEs/wnYkf+dv/99w9NlPL2eOkQMTuheu655xIhLVc6hKqqqJM6y/St3KczlpadaGe9rrFFnTwjnYHR9o38TSb39ip6L+oWdelEFWKLnHWWNX6svW0RdWlBt2PHjkKR77unN2t8hnid0uNLH0LehNiy407G26ZNm6ItfOT9zFUVdLbe9DfB5/2u472t8HPOrRCAAAQ6TwBRV7ELs/bWpUXd3z/8gvm9P9k54kl7v/IRM/GwdyT/fuCnPzfv/P17h5WRvXT3/8V0c9wH31XRyuG3Wy+OeIB8LvG2XX/99UETjLwU+EXPGzRRJyyE04UXXjhMKGhGMlE/99xzTZYXxt5vk0mk2YpQT3vEYoi6Mn0rtnVJ1Im94iE655xzktC/rMvuGdWeUF2ublEnz8pbpLF2iKD52Mc+ZmbNmpX8UxtEXaigE7t1WKwrRFF7wa0YL+sFsqHnRZ5En29oSBktkGSMnXnmmaVDSF3P1XtCXVyL6krvrfOpC1Hn6h3+DgEIQCCMAKIujFdm6bOu3G2+dM8Phv3t3N+bYN477s0jCD5/65OZ9x356+80fzD3vcnf/vv3XjYi/uwlgu7m1ccY8dTVdckPsXjkJOX5tm3bhk1eZRIj4YCLFi3y3nuXttPu9/JZtZV77eHJ8v+PGjWqUETKhMBeU6ZMyUUkk8EDB970pEp6d5uAQd/gU0bKy2TxxRffPMZi3LhxuQcih7TD2iE2SB/IodE/+tGPkpBYSeku/2XZrO0Xu8Qjd9dddyXp7CUxjdyXJTa0bUVtcI250L6V+nSf5fWF67lZf9dtkr8XjYcy9Yu427NnT8JXvGAf+tCHzIc//GHngdi2va6xXMamrP6Xd1nC4MTbrseOT5/72OpTxqct+n0LGYO+76n+lshYEC9fVVHnEz7u03bfMlkLbyKUxo8fn1tF6OHj+ntW9H30tVn3j099db+3vnZTDgIQgEC/EEDURepJyYQpXrsYlwi6q1b+lvnD+b8eo7qe1GFXYX0SpPTEQB5amgB9WxodNzZMwHrCy4i6XicvseJUxLokH5FFhaIrVNQ13BU8DgIQgAAEaiaAqIsIOC9xSsgjmvDQhdhTtqzdG3LbbbdlJgApWy/39Z4Afdv7PsACPwLWy7p8+XK/G1SpMt7o4IdwAwQgAAEIQCASAURdJJC2mu88+S/J+XXp5Ck+j5EMlzdfeLT5wPhRPsVbW0Yf4uyTIKW1DcGwEQToWwZFlwjIAsSyZcuC9gNL++y+Np9sm13iga0QgAAEINC/BBB1NfXtFzd939z54PNmy2Nv7sHKu8QzJ2LukqUfjJ4QpaamOau1GRmrZJ1zPoQCPSFA3/YEOw8tQaBs6KVNyiL7ih9//HHnntYSpnELBCAAAQhAIDoBRF10pCMrlCQqT//zm8k6vr/vX40Iufcf/o5EzIlXTv53ly9ZDbeb+GVCtGTJktyzu7rczkG0nb4dxF7vjzZLghRZWHIlzpEMl/PmzUu8eXIcyNKlS5OjRHwTPPUHLVoBAQhAAAJdJ4Co63oPtsB+narempM+H60FZmJCCQL0bQlo3NJzArIYIVlKJYNv0aXDiXU5vl8970IMgAAEIACBQAKIukBgFB9JQCZQ4qGz1wUXXFDbuUrwb5YAfdssb54Wh4BkrnR56ORJNkTTPlWOWBDPnc+9cSylFghAAAIQgEAcAoi6OBypBQIQgAAEIAABCEAAAhCAQE8IIOp6gp2HQgACEIAABCAAAQhAAAIQiEMAUReHI7VAAAIQgAAEIAABCEAAAhDoCQFEXU+w81AIQAACEIAABCAAAQhAAAJxCCDq4nCkFghAAAIQgAAEIAABCEAAAj0hgKjrCXYeCgEIQAACEIAABCAAAQhAIA4BRF0cjtQCAQhAAAIQgAAEIAABCECgJwQQdT3BzkMhAAEIQAACEIAABCAAAQjEIYCoi8ORWiAAAQhAAAIQgAAEIAABCPSEAKKuJ9h5KAQgAAEIQAACEIAABCAAgTgEEHVxOFILBCAAAQhAAAIQgAAEIACBnhBA1PUEOw+FAAQgAAEIQAACEIAABCAQhwCiLg5HaoEABCAAAQhAAAIQgAAEINATAoi6nmDnoRCAAAQgAAEIQAACEIAABOIQQNTF4UgtEIAABCAAAQhAAAIQgAAEekIAUdcT7DwUAhCAAAQgAAEIQAACEIBAHAKIujgcqQUCEIAABCAAAQhAAAIQgEBPCCDqeoKdh0IAAhCAAAQgAAEIQAACEIhDAFEXhyO1QAACEIAABCAAAQhAAAIQ6AkBRF1PsPNQCEAAAhCAAAQgAAEIQAACcQgg6uJwpBYIQAACEIAABCAAAQhAAAI9IYCo6wl2HgoBCEAAAhCAAAQgAAEIQCAOAURdHI7UAgEIQAACEIAABCAAAQhAoCcEEHU9wc5DIQABCEAAAhCAAAQgAAEIxCGAqIvDkVogAAEIQAACEIAABCAAAQj0hACirifYeSgEIAABCEAAAhCAAAQgAIE4BBB1cThSCwQgAAEIQAACEIAABCAAgZ4QQNT1BDsPhQAEIAABCEAAAhCAAAQgEIcAoi4OR2qBAAQgAAEIQAACEIAABCDQEwKIup5g56EQgAAEIAABCEAAAhCAAATiEEDUxeFILRCAAAQgAAEIQAACEIAABHpCAFHXE+w8FAIQgAAEIAABCEAAAhCAQBwCiLo4HKkFAhCAAAQgAAEIQAACEIBATwgg6nqCnYdCAAIQgAAEIAABCEAAAhCIQwBRF4cjtUAAAhCAAAQgAAEIQAACEOgJAURdT7DzUAhAAAIQgAAEIAABCEAAAnEIIOricKQWCEAAAhCAAAQgAAEIQAACPSGAqOsJdh4KAQhAAAIQgAAEIAABCEAgDgFEXRyO1AIBCEAAAhCAAAQgAAEIQKAnBBB1PcHOQyEAAQhAAAIQgAAEIAABCMQhgKiLw5FaIAABCEAAAhCAAAQgAAEI9IQAoq4n2HkoBCAAAQhAAAIQgAAEIACBOAQQdXE4UgsEIAABCEAAAhCAAAQgAIGeEEDU9QQ7D4UABCAAAQhAAAIQgAAEIBCHAKIuDkdqgQAEIAABCEAAAhCAAAQg0BMCiLqeYOehEIAABCAAAQhAAAIQgAAE4hBA1MXhSC0QgAAEOkvgiSeeMLNnz07s37Fjh5k8eXJn21LG8HvuuccsWLDAHH300WbTpk0D1/4yzMrcYzmfcMIJZvPmzWbMmDFlqunsPZ/97GfNpZdeak477TRz7bXXDlz7O9txGA6BjhBA1HWkozATAhCAQB0ErKB7/vnnzd13323mz59fx2NaX6cVHIcddph5/PHHmXBH7jHNdxAXDixOLew2bNgQmTLVQQACg0wAUTfIvU/bIQCBviNw1VVXmYceeihpl8sb8NJLL5k5c+aY3bt3mxtvvNEsX76873iENEjYrV692gyqJymE1emnn54UF6/u2rVrC2+VhYMjjzwyKfPoo4+aKVOmhDyq78qeeOKJZuvWrebiiy92suu7xtMgCECgNgKIutrQUjEEIACB5gkcfvjhRrxuEkq4a9euQgPOO+88c8011yQiZsuWLc0b27InapH7hS98waxataplFrbDHC3SXMIEpiP7TPN74IEHzMyZM9vRsVgBAQh0mgCirtPdh/EQgAAE3iLw7LPPmokTJyb/8KlPfcqsW7cuF8+DDz5oZs2alfwd78lbmB577DFz7LHHwqXgxbKhlFLktttuM4sXL84tbb2fhLUOR3TTTTeZFStWGLjwBYcABGIRQNTFIkk9EIAABHpMIGSyfcwxxyRhl5K0gb09wztOQgs3btyIBzNnPNt9YfJn2X+Yl1hHLzIQ3jscpngwJSRVvOp4hXv84eTxEOgTAoi6PulImgEBCEDAekWERJH3TYs/vHQjx43mM8jJY/LeKLsnTP7++uuv5754VvzhjcpGpMXxM888YyZMmMBHDAIQgEBpAoi60ui4EQIQgEC7CFgPk2uybb10Pvvu2tXC5qyxexPxZI5kftBBByX/WMRGe+lc++6a69V2PUnvrcOT2a6+wRoIdJEAoq6LvYbNEIAABDII2Ml2UeITPZEk7Ct/GOFFyWaj9xwWjZ/bb7/dLFmyJKmEZCD544wFFj7lEIBALAKIulgkqQcCEIBADwn4TrZ9QzR72JRWPFonknElA2mFwQ0ZYRN8uMSab4hmQ2a39jH6fSzan9jaBmAYBCDQGgKIutZ0BYZAAAIQKE9Ae0aK9oEx2fZjLIksxo4dmxQmBPMtZvYYDPmXvH1gsPMbY1JKLx4QgunPjZIQgMBIAog6RgUEIACBDhCQ5B133HGHEfEm+71kP5yIjZNOOsmMGTPG+GQkrDLZlrDNbdu2JaTk2IT58+c7qcmEdc+ePUm5adOmRT10WniIqJBrwYIFXkkmtD2LFi1KuBVdgyaAZXzcd999SeZPm/3zqKOOMsLK9rcNF5TkJ/v27cvEV0WoNNGvzoH7iwLCQ945ey1fvtx5a+h7UuWddBpDAQhAYKAIIOoGqrtpLAQg0DUCMulbuXJlMsnOumRyfeedd5pzzjknOaKgaLLtG6KZx0iLHFeomM4gWUeiDB0G6BMeKYk7pk6dmqSQ9/W8+Qjlro2nPHtFjJx66qnJGMq6ZJ/mZZddNnS2YdE5iL4hmlnPaaJfQ/pMh0e6xpkwnD17djLGhNfmzZudCwdii49QDrGZshCAwGASQNQNZr/TaghAoAME9CTRmisC6YgjjjDiQXnooYeSibZMIu1VJFhCJ8xpRDrJSlEylroFndilBarroHUpb8MGRfTu3LnTy7OnefXz0Qa6v4SVMFqzZo2ZNGmSefe73222bt1qLr300mHDoShUUGdhdYn/9Bhrol9DXn1ZVJkzZ87Qgkne2Ckr6MQWzYujDUJ6h7IQgIAmgKhjPEAAAhBoIQGZTC5cuDCZUMslwkUEXDpkUAstKVc02dYipez5dC5h2ISgk3bqsDXX0QxlwwF1W8rudxJPj4jvuq6TTz7Z+IQF5j0/vXCQ1069Z1PqKho/vkdrZNnURL+G9oVLaFYRdGKL9giXfS9D20R5CECg/wgg6vqvT2kRBCDQBwT0RM8VvqiTVxSlj9eT7SqTRxuGmfZ6NX1otw4HLUraYT0tRd7FrCGjJ/P9Kups6J+03+WNtGf3Sdn9+/fnhhbaozWkXNHh5Hmvad39WubzoMMw9TumBZ3rPc17bozFljJt4h4IQKC/CCDq+qs/aQ0EINAHBLSY8BEiehJcNNmOJeq0d9CGPjYt6NIejjwxW2XCrPvBdx9el4afZuM6s1B70Fxjsqqo0wsadfRrmT7SYZjiGd6+fXsS9mz30JUVdGKL7oeyiwdl2sQ9EIBAfxFA1PVXf9IaCECgDwhoz5uPR81Ool1hiFXC4tJY9URUJrR2z5XL2xOze1zhkZIcRTJ1ylVm0t3vos563sTjKnvfirKBahYulnY8lhXCdfdr2TGYDsOUkFQRdi4eruch6lyE+DsEIOBDAFHnQ4kyEIAABBoiELKnSExy7ffRZscUdVKv9hDK/25S0MnztMcwS0DY9vqIlqzu7WdRp/cZ+ogS115Kza+qqKu7X6u8yjoMs+xiQdECCZ66Kr3DvRAYbAKIusHuf1oPAQi0jID2UrhC4sR0ncDClXI9tqjzPfC8TsTW25T2UmpBVlZs9rOo8wlx1P2mvceujJZVRZ08t85+rTIeteD0EcM+z8JT50OJMhCAgIsAos5FiL9DAAIQaJBAaBr9kFDNKqnm0wjSafDtPiPXgd6xUer266QcNgFI2RBAsbOfRV1oGn2dJMWV/MSKuqIzE13joM5+dT077+9ZR4y4BK7PsxB1PpQoAwEIuAgg6lyE+DsEIACBBgmEiDQxS2cvdE22YyVKsYJOJu333nuvmTdvXrK3yMezGBtlViIULTirnPsVEtpaJAQOHDgQu9lD9Y0bN87rzL20ASEiTe9N9BHJVROliK119muZztCCTjy/N9xwg9m4cWNyyPiWLVvKVDl0T0hoa6UHcTMEINDXBBB1fd29NA4CEOgagRDhFZKRUDjo/UA+CViy2GlBt2PHDjN58uRhIaBl6y3bT1p4SaZEOZT9yCOPTERm1f1JMY40SO87LNvOvPt8RFbWvSHCS++/8xHuus2uhYa8dtXZr6F9kBZ08+fPH7afs+o4q5KhNbQtlIcABPqXAKKuf/uWlkEAAh0koIWXawIdetB3aGhnGl+WoLNlrMewF2GYVqDI5FquFStWmBh2xPCgiPDeu3dvbSNx0qRJhVkr8x6shVfR2YZyv95/57M/MTS0M8/Guvo1pDOyBJ29X3OpEoYZMyw6pG2UhQAE+osAoq6/+pPWQAACHSeghVpR1sb0/h6fybb2uIR6F+wEVmyyHjqNWntWXGLU3idtXbVqVfI/N23alHj9ylxWoEibPvOZzyReuhgewxiezTLtaeIeLUiKvH3pvZM+4ayxuMXqV7HnsssuM3PnzjXXXnuttwh2nb0ogt16hauEYcbwbDYxZngGBCDQbgKIunb3D9ZBAAIDRkBPFKXpMlm8+uqrzZQpUxIS8vc77rgj8Ubpy8dToPdG2UPDffD6empC9wPqfV2uM/aK7LQiQurYvXu3CWlbUb3ag1J0qLsPw7aV0SJcbBNmks1xwoQJiakyVuTswWuuuWbIdN/EJ1oMuTKy1t2vOlulPMs3Y6WvF1xngA1dKLFttx7JKsKwbeMLeyAAgeYJIOqaZ84TIQABCBQS0BNFXVAm1eKFkku8YeJ9sP/bd+9SXqr4PIN8BZ0VAvawb58JqhZ1cr+PMM2y09e7GTrsQlmF1t/r8lqEW1v0GJP/f82aNWb16tXJn33378VK+x+jX9OizkeY+go6y8yGHkvdO3fuDEpcE4tVr8cSz4cABHpPAFHX+z7AAghAAAIjCOQJO/E0LFu2LCkvoV8hk20pq0VaUSideASvuOKKxFsjl094p5QLSc8uk+elS5cmZ5KJl03aZj2SIUNCeyCreIb0M/Vk2zecNMTmNpRN97EWdiLmzjrrLHPfffeZJUuWJH8K8UTpPZa7du0q1dxY/Wo9uSJKxZNbZI9+73y9elWOvtDPc+1tLAWRmyAAgYEhgKgbmK6moRCAQNcIyKRWhNcPf/jDZL9Z2aQYut2ufUK9YiRicNq0aaVEnd0r6OMd9G3fIE22RcA+/fTTCZrx48eX6oM0V9/Fg6L+qKNfJaR2w4YNvsOg9nLaW9pvIb61w+MBEIDAMAKIOgYEBCAAgQEioPfsxdp7FgOfTG4lzC80WYq0Z86cOYkHpmz4Zpb9NnlFlb1+Mbh0tQ7tvSrjPa2rX8WDWNZzGLsv9JEkvl7B2DZQHwQg0D8EEHX905e0BAIQgIAXgRheFK8HBRQSEVXmEGcb7hkzRFKHXoaEHAY0dyCKVgnBrKNfbfKXdevWtYK/9gbHyNbaikZhBAQg0DMCiLqeoefBEIAABHpDQO9VaoNoEa/Oxo0bzdq1a4OAWPEV40w6/WB9fIN4/8aMGRNkF4XfJKBDfUNES139KkJREvnI4eFtuKzo9U1A0wabsQECEGgvAURde/sGyyAAAQjURsAmjyg6C6+2h6cqln1OV155ZVDWQAldW7hwodm6dauJmWCibYK3qT6o6zk2jNVXuNTVr7beMt7gOtiUFbx12EKdEIBAfxBA1PVHP9IKCEAAAkEE9J6lmKGLQUa8UVhC0Pbu3Tt0CHne/eJlueWWW8wpp5xiRo8enRzpIPvoYttuE1ewly60J7PL61DWLPHdZL+eeeaZZubMmXEaVqEW/e6xl64CSG6FAASGEUDUMSAgAAEIDCgBncwiJDwuFi7JbihCzWePk94HaJ8fe0Jssy1K/TGTrsTi1dV67P64LK9wE/0qXmnJHLt48eJWILRe8thhw61oHEZAAAI9I4Co6xl6HgwBCECg9wRsGFgvJpjisfDdryaCa8+ePUPAyh5/kEdcwi6nTp2aHObueyZf73uvOxZY8ZbOuFp3vwqhkHFWN1G7cCACd8eOHcHZXuu2j/ohAIHuEkDUdbfvsBwCEIBAFAJ2wi3nvG3evNlbaEV5eAsq0fu4EHT1dIhmHNvDWo/F8WuVUNTZs2cnFSPo4vOlRggMOgFE3aCPANoPAQhA4A0CMuE8cOCAGTduXFDCkn6AZ9s+atQoPCc1d6iE/Mol4ZC+XtqaTWqsetv2QXzHGoPMgyAwwAQQdQPc+TQdAhCAAAQgAAEIQAACEOg+AURd9/uQFkAAAhCAAAQgAAEIQAACA0wAUTfAnU/TIQABCEAAAhCAAAQgAIHuE0DUdb8PaQEEIAABCEAAAhCAAAQgMMAEEHUD3Pk0HQIQgAAEIAABCEAAAhDoPgFEXff7kBZAAAIQgAAEIAABCEAAAgNMAFE3wJ1P0yEAAQhAAAIQgAAEIACB7hNA1HW/D2kBBCAAAQhAAAIQgAAEIDDABBB1A9z5NB0CEIAABCAAAQhAAAIQ6D4BRF33+5AWQAACEIAABCAAAQhAAAIDTABRN8CdT9MhAAEIQAACEIAABCAAge4TQNR1vw9pAQQgAAEIQAACEIAABCAwwAQQdQPc+TQdAhCAAAQgAAEIQAACEOg+AURd9/uQFkAAAhCAAAQgAAEIQAACA0wAUTfAnU/TIQABCEAAAhCAAAQgAIHuE0DUdb8PaQEEIAABCEAAAhCAAAQgMMAEEHUD3Pk0HQIQgAAEIAABCEAAAhDoPgFEXff7kBZAAAIQgAAEIAABCEAAAgNMAFE3wJ1P0yEAAQhAAAIQgAAEIACB7hNA1HW/D2kBBCAAAQhAAAIQgAAEIDDABBB1A9z5NB0CEIAABCAAAQhAAAIQ6D4BRF33+5AWQAACEIAABCAAAQhAAAIDTABRN8CdT9MhAAEIQAACEIAABCAAge4TQNR1vw9pAQQgAAEIQAACEIAABCAwwAQQdQPc+TQdAhCAAAQgAAEIQAACEOg+AURd9/uQFkAAAhCAAAQgAAEIQAACA0wAUTfAnU/TIQABCEAAAhCAAAQgAIHuE0DUdb8PaQEEIAABCEAAAhCAAAQgMMAEEHUD3Pk0HQIQgAAEIAABCEAAAhDoPgFEXff7kBZAAAIQgAAEIAABCEAAAgNMAFE3wJ1P0yEAAQhAAAIQgAAEIACB7hNA1HW/D2kBBCAAAQhAAAIQgAAEIDDABBB1A9z5NB0CEIAABCAAAQhAAAIQ6D4BRF33+5AWQAACEIAABCAAAQhAAAIDTABRN8CdT9MhAAEIQAACEIAABCAAge4TQNR1vw9pAQQgAAEIQAACEIAABCAwwAQQdQPc+TQdAhCAAAQgAAEIQAACEOg+AURd9/uQFkAAAhCAAAQgAAEIQAACA0wAUTfAnU/TIQABCEAAAhCAAAQgAIHuE0DUdb8PaQEEIAABCEAAAhDSJF7NAAAgAElEQVSAAAQgMMAEEHUD3Pk0HQIQgAAEIAABCEAAAhDoPgFEXff7kBZAAAIQgAAEIAABCEAAAgNMAFE3wJ1P0yEAAQhAAAIQgAAEIACB7hNA1HW/D2kBBCAAAQhAAAIQgAAEIDDABBB1A9z5NB0CEIAABCAAAQhAAAIQ6D4BRF33+5AWQAACEIAABCAAAQhAAAIDTABRN2Cdf9NNN9XS4okTJ5r58+fXUne/V3rVVVeZhx56KGnmhg0b+r25tK8CgdNPPz25e8aMGWbVqlUVauqvW5944gnz2c9+tnSjBp2n5nf22Wdnfst9ypTuAG6EQAaBe+65x9xwww1Df7ngggvMzJkzg1i99NJLZs2aNebFF19M7jvttNPM4sWLg+qgMAS6QgBR15WeimTnQQcdFKmm4dXIh7KMIHn22WeHPrajRo0ykydPrsW+NlcqE/WNGzcmJr7++uutMfWxxx4bsmXSpElmzJgxrbFtUA2x72/e+yYTmL179w7hmTJlykCgkrF67LHHlm5r2e9X6Qe27EbN78YbbzTLly8fYaFPmZY1C3M6TkC+Z0ceeaR5/vnnk5YcffTRZteuXd6tkvsXLlxotm7dmtxz8cUXm7Vr13rfT0EIdI0Aoq6BHnvp1X83Tz93IPlPrjGHvM18YPyo5L+mL7vSX/Tc5557bugjKOVkwuO6yq50i+dwxYoVSfWDOrFqq6jTCwCPPvqoGRSB4Brrvfy7S9SlxU2bFgnq5JZut883S9tT9vtVZ5uarNtHsPmUadJmnjUYBMRbt2DBgqHG3n333V5RQWlBN6jzi8EYJbTSEkDU1TQWRMB96e4fmDsfej4RcyLssq6Fsw43p8w8zPzh/F+vyZLwapucGCLqjEHUhY/RQb0DUZfd801+s/px7PkINp8y/ciGNvWewIknnji00OzrrZNw7EsvvTQx/oQTTjCbN28m2qT3XYkFNRNA1EUGLOLt8+ufNF+65we5Qi7rkeK1u+SMI1oh7pqcICHqEHWRX8G+ri6mqLPhtePGjTMTJkzoNLcmv1mdBpVjvI9g8ynTj2xoU+8JpN/vvBBhaymCrvd9hgW9IYCoi8h9y2MvmrOu3D0UZlmm6uM++C5z/19MT0I0e3UxQWqWfFs9dc1S4Gk+BFyizqcOW8bW5ZoghdTZq7J8s6qR9xFsPmWqWcHdEMgnoH8nDzvsMPP4449net4QdIyiQSaAqIvU+1/c9P3EQ5cXZhnyGPHabfrT44wIvF5cTJCapY6oa5Z3l5+GqMvuPb5Z1Ua1j2DzKVPNCu5uKwFJaPatb30rSehlk3oV2fqpT33KrFu3LmpzxAbJsm2vrMUoBF1U5FTWQQKIugidJqGW4qGLeYmn7p++9JGeeOyYIMXsSXddiDo3I0q8SQBRh6ir413wEWw+ZeqwjTp7R0CSjVxxxRVDe9NkP5tkkzziiCMKjTr++ONryWQtx/+sXr06eXbaW6cTqsjfdu7c2fmw8t71PE/uKgFEXcWe+86T/2L+l4kHm3f8yi8lNf2PJ14x0z795plj+vr6n081vzv90OSfDvz052bxn3/H/P3DL4wo9+P/Z54Z9Yu69ux9zRw16eCKFobf3hVRJyt3Xd8LJL1TVtTJD+6rr77aFwzyRmm/tzF0DCPqeivq5Ky2Lhy7Iu+NXL7HkPgINp8y4b823NFWAjLWZ8+enRwnIJ63M888M/iMuNhtSx9x8IUvfCE5rzMt6Hbs2NGJ9zQ2H+qDAKKu4hiY+8ePmPv/ctpQLc88/xMz6ZPfHFHrN6+Ybo4/ZuzQv3/u1ifN59/4L329/o23UvdKXTd+41nzuU/+ZkUrw26vIuqyDkeWD/F9992XhG3s3r3b/M3f/M1QenyZ1EqKYrmmTZtWmDb/wQcfNF/72teSLFZSj71k9VBW7xYtWlQ4idEHmcpZNTI5k+d/9atfTQ7/FvvsSuSyZcu8fxSk3jvuuMNs27YtMUlWKcUWOYzdhq18+9vfNvIjKcdFyI+jPgcqRNRJfddcc4257rrrhs7ukWfK+TvywxtT5Eq7nnnmmaRNWedWyb9n9bfmIf0kqaRDDnyN0UYZK7fccou5/fbbzeGHHz6sT8RufVxDXtp/SeJjr7z2y981J0m9ndcHRSFM0nfnnXee89gIH1Fn7ZZQJRmD9tLvmvybPkrk5JNPHvaRkHunT5+ejGu5Ro8e7X1gb97zpR7NtIhV2BfLmCrfrKJnybdLGMjkMfSbk3dYt/7m3H///Wbfvn2hzR1RXp71d3/3d+bOO+8cdhyNeCzOPfdc57fBR7D5lCnTEMvY512zZaS99nubHudlbND3SDsfeeSR5J9cv0lZ9tThpdLvjW/7qrxfwlfOh5Pxs379eq8jBHztqlpOJ1eTuiQM037LxN4ygk73eezxVLW93A+BEAKIuhBaqbI27DItxGKKuinnPWC+/dczGz3TrsoEKT3plMn1KaecMkyA6DPPfCcKWvjkdZmkLb711ltzJ9X6x0BskB+uJUuW5I4A13k4MhlZuXJl7h4DEYh6ImgflD4A1VfUiXhYunTpMJbaePlBu/fee53CwHfI+9il+/vKK680Z5xxxrBJpX6WT1rpqm2UPlmzZk0ifLMuO0b03ow8Uecj/OQZmlPeeX5Z70GWfbfddluhePIRdXll0u910TiwZzrptonAdy0a6BXzrPenrrMPq3yz8jjI9+HUU0/NfIftPUWTyKxvW3pCKvVUPUswq850m1zfBp/vsE8Z329LupwOq3O9A9qD5PNNCbVJt9N3b5hNuV+UwCPUDls+vZfMtx5JJFLGqyzPmzp1avKYmL8nvnb7lDvmmGNGvJdlBZ08jyzcPtQp0wUCiLoKvfShP3rQSPhlnaJOBKKcYXfzhUdXsDTs1ioTJD2hPPvss4cdGio/wEcddVTiVbKTQ9+Jgq1XfmTFC/aBD3xgyNMmE3h9Hs2WLVsyG5z+cFvPnHj5xC7x1l122WVDosn1Ay2eFSseZCX/pJNOSp4r9Vp7pI7LL788qf/gg98MpRVvnfag+IgnEQWzZs1K7rd1yiqyrU9CUERAxtxL4GOX7Rfp2+9+97sJO+lf+d+vvPLKiI31RZkWY7RRn2ckbERYyyqueJqeeuqppF+EkdhpryZEnR171h4ZK5MmTUo8y2nB98ADD+SGOVURddpzJGNw69atCQKxSf7Tlz2MW4u09GJE1ktmx0zeu9MVUaeFg7RT2q4PNJfIA/2tyOqz9LfNjj/LTeqTSbdEDVS5LHN55z796U8ndU6ZMsXYCAm7cFX0bfD5DvuUKdsOsXXOnDnOb1jdgs7ab8epMHN5UiUawDIuenfLshHu9vckrw79PtvxWnZc2fFUR1vKMkjfp38r7G9iGQ+drRdRF6tnqKfXBBB1JXtAxJyIOrnqFnWSNGX/bR8taWn4bTFEnZ44y+RFvDhZq/y+EwVZyf34xz+e6ynQAivPw5Ze0c5ahdWTCyGXV5ee7GatLOsf+jzvje0Zl3jS+wjyViOljGxgl4m6z+TbZ1S47JI69CRd/nfW6rBmkXdwbIw2pvs3q1+yvFVNiDp5rkxIFy9enInehjvJH4sO160i6vSDfd87uceuirsWObRHIW8MNhV+6TO+bZn0++kzFuVeLTCyBJNmrL+HsgB01llnee93c7VF3i8r5LLK6vcvr198xoNPGZetRX93eciaEnRio14cKvJQW6+WLBJZ73YVBmXu1d9+ub/K99/2gfw2yqKF757MMnZXuSdvb13ZOgm/LEuO+9pGAFFXskc+95V/fOMIg6eSu+sWdfKMf/ry8Y2FYMYQdRar6wcm1kRBT4rzQmbSk/68H2s9CbIbsdPDxIrIogm47OWym8yL0ju7xFM6bFRW4bMuzWD//v2Vf5BddokNWtQV9bVlIfdk2Va1jekf+aIQrvQ4aELU+Xxm9MJEXuhUL0Sd5lXEVYfQlQ398uGUVSYktDR9f1rU6bTorgUZ/dz0+M+yyRXSXbb9rvvs+5fnefL5DvuUcdnh+rseQ9pTpAWd6zfF9Qyfv2s7ivrMvrMxIyR87LNlYgo6qdOOfde4D7Exdtl0m6V+14JTbBuoDwJtJYCoK9kzp/7Zd8zmB97c4N6EqLtq5W+ZC059f0lrw26LJeokHCgvFNJaFHOi4AqZ8Q2x0Dblrb5a70XR6qwOiyri4BJPdkLmsxJsV5hjhM647JI+9A2nc+07q9pG7Tl1cZJJwdixbyUtaouo8xFPvRB1WjD7LGL4vPdhXyR36fQ3SyalvpcNg5Xyemz4tiNv32HaprwFIl87q5TTNmYJbp/vsE+ZKjZa/jYMU8ba9u3bk4Uxm4WxCUEndujvSV6/NcGjiGdsQSfPku+w/Cfc2+ilS7dZ71vv5ftVddxzPwRiEUDUlST5G8u2maefO9CYqLtk6RGNZcGMJep8hEXMH0ZXYgs9aS7a2+Uj6nwm13YiVTQRlgFUJJ609y29rydr6Nr9fEXt8x3yoaKuKOFDkaiL0UbtXfHxhrjGSlqwlm2bL2sp5zM+fcadT5nQ907zzXqvXQlSQjiUKVvlm6Wfp9vh+w5pz74ee2mbYnjPy7BJf2OyvDA+48GnTFn79H3pMEzha/fqlt0nFmqXDiV2Ley5vu+hz/YpX4egs98816KYj311lEm3WaIGJOz42GOPHXqcTzKnOmyjTgi0hQCirmRPNC3qFs463Gz60+NKWht2W5UJkp4s+0xiYk4UXBN1n0mzkPIRdT5eOB9vnkvU6UlmSC/GWLVsStTFaKO21WfcucYKom74aNOT3KzwZh2GJp6gplf5q3yzdEt9w4DzRIh+77RNvl6/kHc8pKzLU+7zHfYpE2JTUVkd/ijlmvLQaZt0yHh6UafMOInFpi5BVyWEOd22OvpLLyzp+vXY9s1WGqsvqAcCbSOAqCvZI2OX/IN56dV/T+5uIvyyyQyYVSZIrhDINO7QiUL63DfxTGVdWZ6VmKLOlQhFt8uVortIPGmbZWI4fvx4rxFrsxd6Fc4p1JSoi9HGoglYVvN6Keokc9uePXvMXXfdlWT7yzr2Is9L5OOF8ykT+t6lFx/0irgWfDEWE8qM2SrfLP28kP109r68RaC0x6loX22ZNqfvkcn+ww8/bHbt2pVk8pUz8HSWV1u+7Z46sTPtvW/KQ6eZ6j2uerzrcOQ6xItrLOjvcszn2/fYnvvqsqPo777n+/k+I0/Qyf1Zodd5+859n0c5CHSVAKKuZM/Z4wyaEnWyn0721TVxVZkg+UwodRt8J5fygyNpnbPOH5NN0nPnzh12Xlzdoi6dgluf5yNtmjdvXjKh8gnNKRJPLvFY53hoStTFaKPOVudz7lcvRF3RGXwi2F944YUhgddGUafTiOuFCt1/vQp/qvLN0u9QGQ+Mj6jzDeUs8z7bw7vtAczpOiScTgu8tou69HES0p6mE+/IM/O+S1Zg9CI5R5G4KTN20vfId7HXXuW0TbrNeZ44/VvV1vDRGP1DHRBwEUDUuQjl/H3uHz9itjz2YvLXJjx1ck6deOuauKpMkOoQdelzvOw5aHL2mz4mwTVRj+mp8zkQ1vcw1CLxpPvCZ69YzPHRlKiL0UZXIoisyYv9tyYSpWj77Ep4ejXbZ3z6vF8+ZXwXU9LcbEixXqywgrqXk6kq36w8UecrxPTkX99TlnHIOyzfod/5nd8ZWgyQPpD/xFOhD57uSvilFnTyvbvhhhuSxbpeCI2s/tPf/aa/x3ULOhl3dpz0anGmSNAVHTSffv+b7puQd5ayEKiTAKKuJN2mjzT49l/PNMd98F0lrQ27rcoEyWdCqa3xmfjodNxFB4w2Kersng+ZxKUPFRYxd+6555qLLrrIa2+RSzz5Ho0Q1svu0i67pAYXc/sU16Syahv1HhyfybiP3T5l9ERI/v8sL4jPOWFybxdEnd7/KN6TUaNGmYkTJybd3MuJVJVvln4TdNifr5DQY1snkfH5trnfwuISPudz+oxRH1t9ylRpT1rQzZ8/f1gYps97XeX5Wffab4ANK7Z93fQCRhOCTtpvv1W9YJ3mr7/pRYIu6zfGZk5tem9v7PFHfRAIJYCoCyX2i/Kyn0721clVt6dOxJyIuqauKhOk2KIuZCLhmoT7TJqFcV44leZvf9z1JF7uk0muXiH36TOXeNI/6E2GIbnskra5mGf94GYJn6pt1KGBrrCo2EcaWO+VtDWrbT4c5V6f8enzfvmUCXmv9BjW+4lk4jd69GizZMmS5JyoffvePOKlF1eVb1baXld/6vJFh8aXZRzCz6evpT7XooqPrT5lQmxPc7THFqQXB6p+G8rapLmJiJMIEZtpscnvcFOCTtqr32+fhFNV2BbdqxePfAVaOnqmDcK0Lj7UC4E8Aoi6CmPDZsCsW9Q1eZyB4KgyQfKdZFjsromC74Z5H5t9Js3p9uetyNpJkisJis/wck365cdq6tSpQ3v0XGcIyWqrCMuqm8VddknbYom6GG3Uk/GiBAJ6kiRtqBJ+qcWk1JUl6vISLqTHhuZd9546LWyz9qnI3/NWue0KuqyeSwi07HPtVYKUrO9IUZ/6vI/6W1IUQq331Uq96aMeXN82H1tcZayHu2jvrp6o541RH1t9yrjszfq76zgMbb+v91R+N8455xzz3e9+16xfv96I16/MZce6/A6MGzcuGetlxILUc9lllyV7v6+99lqvCA6xt0lBZ/nYb1rT3kj7fD0efLcw2Hs1L9fiXpnxwD0QaDsBRF2FHpLDx+UQ8jpF3ZTzHjD/9KWPmDGHvK2CpWG3+gikvBpjizp5js5sKD+oixYtGvpRtBnfli5dOizTW92JUnRoiEyKp0+fnolEJr3yX1EYiI94Sv/QpScqloMkk9m6datpQmxKg2OJOqmrahvTAksmJZI1z3pO85Lt5Ik6nXwlS6xlJT5xhV/KpPTqq68eJrhlAiqiSCcBqlvUpfvO2m2zy15yySVJFsWsS6+I28N/fffg6PGSxSrsS/VW6SrfrKxn6vdbJoeSufKkk05K3uOsb07WIkJdIkjbqxcM5Dskduh9xvJOrFmzJvkm2KtNiVL0O1+0EJO3bzFvvGguUsZ3fKbrs98UO859vUa6Hr0wKf/um7FSCxT73XC9HyI8df+7yuf93T5bxpSI0abCGKsIOmlL2lvny1ov+PZKzJbtK+6DgCaAqKs4HiQLpg6NfOb5n5hJn/zmiFq/ecV0c/wxY4f+/XO3Pmk+/8Z/6SstEG/8xrONHTpubakyQapD1OkPrrVRJlpy2ZTd6f9dt6hLh/C5hpH8uMgPZNYPro+ok/qzznOzkw39fGFx5513mpkzq4Xs+tgVU9TFaGPaC6fHix0rIph0psA8UZced/Jjby97FIH2VsnfsibMaU+JrSPdd/p/NyHq0hPf9BguCjHzyUiX9U50RdSJ7emz0vLe8byJYxOiLv2t9hlbbRF1voLOtsl64uX7tnPnzkLxkh7bZRe50iKhzEJEWtT5hCr7jr30mCxjX9641lk+dXZn129d2b9XFXT2uenfAB9Bj6gr22vc1zYCiLqKPfL0cwfMmIPfPuRJ+x9PvGKmffqhEbX+7Zop5j+e8GvJvx/46c/N4j//jvn7h18YUW7/bR8dqmvP3tfMe8f9aqNeOjGobaKuaIJlk5KIYLrwwguHjjWoW9TliYei4ZQXSuIjnmy9MkGQZ2edzyf1y6r8xz/+8SirtT52xRZ10s6qbZRVfZnUpc/osvtiJCzVx24RYytXrsxkLWJOJvMS1uWTBl/adOqpp2aeSWfrkjMI7Z6dJkRdVup44a/bljee9TciHXZY9A50SdTZb6F4v7Petyyvq257E6JOnld0VIZ8F+VdeOSRR4YWMtog6nyTB+XxdHlT7Psm+zwXL16cRFIsX7681K+9FZNVDrbWYZyyIJTnBU8L2FCDY++D099SWXT6/Oc/HyW0P92udJRFlaRLaSHuGitiC6IudKRRvq0EEHURekaONpAjDmJeHxg/KvEANhl2GdP+OuqSj7Wsuv3whz9MfljKJCWJYZdeRZWJvfxoTJo0aViIikwqDhw4kAgUCWWzB0z77glx2SksXnzxxWSyJuGdhx56aHCCFtczev33Km0UQSYHfMt/cnRAun98RJ0W0k8//XTyP0V4pesK4SQTfRkT73vf+8zBBx9cqa6Q5+aVtZzsO+XbNut98DmHMYadva7DfntkPMn7Jhk/Y4S5xWqX9OPevXuT74GMd7mq7qmNZVuv65F3TriUEXV2r6+0weUd9G2nLJZt2LDBt3jPy9lzECVE3P6OuYzyDXt01cPfIQCBMAKIujBeuaXt/roY1Um2y01/epwRYcfVPgJWEISs3Gqvl084SPta3V8WhYi6/mp5nNZYT3WZpBFxLKAWCPgREG+TXOKxC71sGGfZ8M2s54nnz+WpC7WzqfKymPPCCy8ki2VFV/oMzqbs4zkQGHQCiLqII+A7T/5LkjhFQjLLXidOGZcIOjx0ZQnWe1/ZkCodXhJz30O9re3f2hF15ftW7xFkgaI8R+5shoAsQCxbtiw4ksF+62NFV0hrbbImSbzDBQEIQCA2AURdbKJv1PfFTd83q679XlDN4p27ZOkHzcJZhwfdR+FmCbhSwedZo/fgMRFuts+ynoaoK98HNqFBiKe6/NO4EwLlCcj3euHChWbLli1BlejjKmKeSSd7tyR0t+wRC0GNoDAEIDBwBBB1NXa5iLs7H3zeyJ67rEu8cQtnjjfL5r/XHHfEu/HO1dgXMatOH2eQTiOunyWTg5tvvtmsXr06+WcmwjF7onxdiLpy7LSXDo9zOYbc1RyBsiLKLsLFPH+xrMBsjhZPggAEuk4AUddQD0pIpg3LlGyZsl+OEMuG4NfwmHTKbEmWMmPGDDN69Oihp911113DsuZJmZCDZ2swmyp/QQBR5zcUJATt/PPPN6ecckoytm+55ZbkzDMWJ/z4Uap3BOwB5C4vnYzxT3ziE4lH74gjjjD2ux0z7FIoyG/GmWeeWfmomd4R5ckQgEDbCSDq2t5D2NdaAhKGtmrVKmdGMMkQKN49Qm7a05WIOr++yDoHTSa7mzdvbuxAYj9LKQWBtwjI3rUzzjjDa5xmnf8Ze4zL918yy5ZJ1kK/QgACEPAlgKjzJUU5COQQkBVhmfy+/PLL5qmnnjI/+tGPknORxLMhacXl+AWudhGQ/rIXqd/z+0ZCxu67775kbMslY/qkk05C0LVrOGNNBgEZu2PGjHGyke/3tm3bhsrVsefN1xansRSAAAQgUEAAUcfwgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIAABCEAAAhCAAAQgAAFEHWMAAhCAAAQgAAEIQAACEIBAhwkg6jrceZgOAQhAAAIQgAAEIAABCEAAUccYgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIAABCEAAAhCAAAQgAAFEHWMAAhCAAAQgAAEIQAACEIBAhwkg6jrceZgOAQhAAAIQgAAEIAABCEAAUccYgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIAABCEAAAhCAAAQgAAFEHWMAAhCAAAQgAAEIQAACEIBAhwkg6jrceZgOAQhAAAIQgAAEIAABCEAAUccYgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIAABCEAAAhCAAAQgAAFEHWMAAhCAAAQgAAEIQAACEIBAhwkg6jrceZgOAQhAAAIQgAAEIAABCEAAUccYgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIAABCEAAAhCAAAQgAAFEHWMAAhCAAAQgAAEIQAACEIBAhwkg6jrceZgOAQhAAAIQgAAEIAABCEAAUccYgAAEIAABCEAAAhCAAAQg0GECiLoOdx6mQwACEIAABCAAAQhAAAIQQNQxBiAAAQhAAAIQgAAEIAABCHSYAKKuw52H6RCAAAQgAAEIQAACEIAABBB1jAEIQAACEIAABCAAAQhAAAIdJoCo63DnYToEIOBP4IknnjAHDhww48aNMxMmTPC/sQ9KDnLbm+y+l156yezduzd55JQpU5p8dE+fxfiKi//ZZ581L774ohk1apSZPHly3MpbXNtjjz2WWDdp0iQzZsyYFluKaRBoJwFEXTv7BasgAIGIBO655x6zYMECc/TRR5vt27cP3IRBJt2zZ882zz//vLn77rvN/PnzI9KlKiEggm7hwoVm69at5rbbbjOLFy8eGDCMr3hdrVk+/vjjAyXq7Hf6sMMOMzt27BiotscbQdQ0yAQQdYPc+7QdAh0nIBNp14ouE4U3O3mQJ4tVhrnPGNOC7uKLLzZr166t8shO3sv4Ku42n3GEODZm0BfgOvnyY3RrCCDqWtMVGAIBCPgQOP30083Gjfl/MLQAABStSURBVBuToq+//nrhLXqS9MADD5iZM2f6PKJvy9x+++1myZIlRlbCd+7cOXBhqCEde9BBByXFTzvtNLNhw4bCWz/72c+aSy+91Jxwwglmy5YtIY/pq7KMr+HdKeGExx57bPKPN954o1m+fHluf+uFgS984Qtm1apVfTU2Qhpz3nnnmWuuuWbg36cQZpSFgBBA1DEOIACBThGwk22fCfSJJ56YhMN96lOfMuvWretUO+sy1opiH7FSlw1tr1dPxl0T7AcffNDMmjUradKghctl9SPj6y0qN910k1mxYkXyD65FpauuusqsXr16YEPE9VgSgXvkkUcm4eIuMdz2bwn2QaBJAoi6JmnzLAhAoBIB8bzJj71crjA3PaF65pln8Er9grwkYZg4cWLyv9q6v05ElYjwbdu29WQPpPU4uRjpyadrPFYa+B26uQvjqymc1uMkzyv6BulFhLa+k00xs8+xYZgudk3bxfMg0GYCiLo29w62QQACwwgw2Y4zIGy4oIRhinfJtS8xzlPdtYjX64tf/OJQeG2vhJLvZJyFg+w+bev4co/AuCUOP/zwxNskCZp27dqVW7n1brrKxbWu/bUdc8wxZvfu3V4h0O1vDRZCoH4CiLr6GfMECEAgEgE7WZTqikLdmGwXA9eegTZkapRVedlDJBM4uSTkatGiRT0Tm3YyKaJ33759mTDx0uWPsSbHlywErFmzpnV7GbXHsij8Gy9d/jjS33FCmyP9iFJNXxNA1PV199I4CPQXAbtHTlpVlCTFrpD77LvrL0L+rbHCpVfeARFFDz/8cKvEnNATu8aOHZuALNp3qL3Grv1S/r3SPyWbGl924u9KmtQ0Wb3XsmhfmPYK79+/v2cLGU3z8XmeFsa98tr72EkZCLSFAKKuLT2BHRCAQCEB38m2nky1wQvV1m61iRnEviZXwaUf77jjDvOZz3wmCU0Tb9j69evN9OnTWzGh9Z2M2wWGIm9eW/u+CbuaGl9tFXW6/Y8++mjmYfT6m0Yyp+xRyXvWxNvKM/qFAKKuX3qSdkCgzwn4pgf3DdHsc1zO5oVkeHRW5lEgT8y17SB0HfKVNxn3Da3zwNK3RZoaX20VdT5Hr+hkICxAZb8KIRlE+/ZlomEQ8CSAqPMERTEIQKAZApLhctSoUSOyVfr+uPvsh2qmJe1/SsjxEGVbIwJIzpySc9zkkpDYyy67rOdnBoromDRp0gjvoJ6M54XDMRn3Gw1NjK9eijpZqNi7d2+mF86n7SxAucdRU4sDbksoAYH2E0DUtb+PsBACfU9AJkdXXHGFue6665KQPHtJSJLsOZkyZUryf0UcyJWXHlx7UELPYRMxKZMsuSZPnmzWrl3r5C4hVg899FBSTvZ8iJ2xLpms3nXXXUl1YovY5Lr0Pddee60znNHHm+B6Zt7fs8Tc1VdfHZVRqG3Sx3LunB1Hcr+ET5577rnJWYYTJkwwPhkL9WQ8z5uXZ1vomNHjcsaMGeass85y9msIF11/yH2uA9mlrjrHl7W1F6LOJmeRMzDtJXtT5Zw5SfAj3zCfo1fsApTUUWZPoPANvXy/JT71yjt+4YUXJkVlbPocmK7vkW/04sWLnY+yAjn0m+6smAIQ6DMCiLo+61CaA4GuEZCV2Hnz5g0Tc+k2yERcvDuu9OC++6HyGGnh6Ep+oSf2dZwtpRNx+BzAW2ZF22ffT+h4EjvEK7dx48bkVi3MQ+uKWV7zzKpXxJ1kUZSJuVxFiRl8E/ZkPUeftehK5CNlZ8+enYx7Kbt58+aogk7sc3HJaoNvcp06xlfaniZFnV18sl7nPDYLFy4c8kznfRt89wjnvQN6HIW8J7HP7LSLIGKDjzC1Ql/et507d3qdH1rlfQthQ1kIdJ0Aoq7rPYj9EOgwAS3CpBkycZXJ9Pjx45PQuD179iQTbb0iXpRQQIdolhFaOk190RludQs6YaFFms8KtZ34yIR7+/btXpN/zavqnp4sMSd9Kd6vXl9aXFiheeaZZ5pDDz00CfWVcbZ06dJhCwtFPKznwFfc5AkR+fc8wd6EoJPnyzso7S+6brnllqF3UN6LHTt2eHuOV6xYkVRddXzl2dekqNPiwnp45d0cN26cOXDggNm2bZux7bX25iUh0u93mcyOMj7keUWXZJfVXuky30TXu6u9sS6vddkkVvoZTSZ1crWdv0OgbQQQdW3rEeyBwIAQ0JPWokmfFlpFk2D5WwzPgJ54iIcwHVKkD1aWrI11Jvqw4sGVYdF3v2F6aFX1bNr6tIdTmH384x9vhZgT+/T+N+F47733ZoaA6km23OeTsdBHbOe9zjqrX9pjod8NeYZPKG1dn400P19BZwXjrFmzEtN8vM1l2tCUqNMLObL4dOutt2aOcf0uSnvyvFex3r08Zunvax2CTp7tuzCkv+MuD3W6TTG+62XGFvdAoGsEEHVd6zHshUCfENCrr64JhxYNRavBIavGRRjznqcFXcjktmyX+axQyx6VqVOnJl6m0LToZUI2s9oiIXzCzIYJiuehDUcUpD2vrj7zCSUL9aAWTbrtvistDvVkvIwHp+xYy7qviqCT+mKNr6I2NSHqdDtcYbA6LLJI9GsxFFvwNiXo0n1c9P2pcsRF2UWrmO8CdUGgCwQQdV3oJWyEQJ8R0JNFHyHim1DARwT5oMxaVW5a0ImdeiKUJ3ytAA3Zo2IZxBIoUl/6yAIJTRT7eynutHfFFf7nm2RHM/MZuz6CRMrIHk4JB7V76Lou6NIT/ipeTR+GPvu5fN79rDL6++MK/9PftiKx5uvhCrW5SUFn3/uxY8cmZuaFI2uhmxX94GpjnQLY9Wz+DoEuEUDUdam3sBUCfUJA701xbdzXCQVcYTsxs+3p8CiZrOzevTvJlOjy9sTsIlcoqO/ZfXk2xRR19hnSX7KXR8JWhZnNCrhgwYJGQzL1uPHZ++ZinSWEY3hYdBimPEO8nf0g6KqIOhEBskfN55KEPJK4RDz4vlfWURZ59+px4dMveiGmKNmSz3mIvu2x5ZoWdPa5+nuedQyITo4ionjMmDFBTUPUBeGi8AATQNQNcOfTdAj0goD2iLhEWnpi6JpUxRR18mwdhinCYNOmTV4JImJxdXmPrAfBh2OWTXWIOv0c8VpYcSeC+PLLLzdNiTvtMfHxDvgm2akqpNP9kM5i6GNrrPGVVU/VkEtdZ5nxpcV4Xe0MEePa2+vKiCv26m9Q0YJVbFHXK0EnbS464kOPJx9+WX2OqKvrTaDefiOAqOu3HqU9EGg5gdBU/b6T7fSEKkY4ll51d4Xv1YU97zB1zdGVdS7PtjKT7jLtFG/HF7/4xeSYA5s1cNmyZbUKZN99mLY9vpPxOkTdqaeeOuTV9M1cWqYfXPdogRnDK112fNXtqQs5T9Jnn6Xm6psZNaaoEyE8Z86cZAzJ5dqj7BoHoX/Xwk1/J7VdVcJvEXWhPUL5QSWAqBvUnqfdEOgRgdBN7yH75GIlStGrzzK5lZC4MnvWYiDWq+A2tEnv+avi2Sk76S7brvSxB+J5rUvc6bGQFRKWboNvptGYzLR3xY6zKv1Ztl/kvrQtMcKMY7LKa1vdiVLsuPDxhofst4wlVORbIOfi2WNfmhZ00i86okCPX9vGqt/OWKyqvB/cC4EuEEDUdaGXsBECfUQgVHiFrJSH1p2H1Qopm+nOroJXWW0u24VZHjk9WSqzR8XaUvWsrLJtEgHx5S9/eeiAZkk4IufGzZw5s2yVI+6zk3H5g8tr65uxUOqKJVS0iJKJuFwSmipXWc9rWXh1CLo0K1fodFnb6xR1oX0dEoUQQ6i0QdDZfrPfafuN1AtPIeGuWeMgJFqj7DjiPgj0AwFEXT/0Im2AQIcIaOHl2mPh2lOWbnaMkKa0oJNN/Xpy13QYphYcMvk/6qijzMSJE5OmV12Vr/usLNewlP6Vw5El0YVcMiG84IILoog7LepcnjrfjIW2PbbusiI/LejsWYf23Qg5QN7F2PX3ugSdPLeJ8dWUqPPx1BXtLUv3Q9Uw3jYJOmmbDXe2SYksC58kRa4xyjl1LkL8HQJvEkDUMRIgAIFGCWjh5Vq912V9wtKqpAmXSdIVV1yRCIyss6h0Brf0YdFFAEW4yDVhwoTSnK2IkBXvp556KrGxrKDQRrRlBVwYiUD9zGc+E+2su5BzEEMWGoSfb6hmVofLZH7evHlJO9OivMq5bnJvyF4xsa1OQSf1NzG+6hR1uq/l/y9KfKI9U1LWtZAQEqqZHkd1CDoZCxImGZqZ0tqm+1o42YWnGF5n3/2upT+w3AiBPiGAqOuTjqQZEOgKAb16LzbnnfukQ5mknMurJ2XKrn7rSVKelyTUayj2+Jwz59NvdlIjwnb16tXJLa6jIHzqDfEs+NRXtUz6rDvXQc9Fz9Ps8/pUC3lbl2syLuXKZlnNSyih2xHaJ/rw+RBedQs6aVNoW8qMn7pFnU7Xn3cuofTBGWecMbSvzcerJ20t4/GtQ9DpYzXK7qVML0jId8q1aOfb377nlPrWRzkI9CsBRF2/9iztgkCLCegfaZvqftq0aWbUqFHmhRdeGJYpUTwaviJGp0P39WTpSZIr41+o50GHAErd+/btK9Ureg+d8Ki6R8UaUVaclGpE4E0igHbt2pUciVDm0iJc7reHoX/gAx9IzkB77rnnkrqlT+wY8w0VKxMOpgVd0WRXe3x87NFjUtrpEx6cTn8vYkUOiXddixYtCvLkNDG+6hZ1ut+Ejw0RloPiZRw98sgjiYdZLjuOfMWMFoyufZ9Sf1rQiXiUvaiu6/jjj8/NNKvFmNSTJ1xdz5C/aw+2/O8q+33188qIXx97KQOBfiOAqOu3HqU9EOgAgfREIm2yTGavv/56M2vWrORPIYIo7wiALCwhgs5Oqo488sihbJiuSYsWr3J/2VCk9EHoInZiXCGZ/WI8r+k60oIn/XyZoMt/S5YsSf7kO6H18bjpZ/kKOntPSBKNLNGxYcOGQtQ6+VBIn/gIj6zJuK/nKsSWNKtQ20KepcVp1n0i4t7znvcMedF9hLXUoz2ZeREL+nn6mI4Q+4u+O+nFD6m3LEstUqvu97XtqxKSHMKIshDoBwKIun7oRdoAgQ4SEG+BPZ/Lmi+TP5kgiddAVr1l0iPXjBkzvD022otSNFESQXfzzTebhx56KHnG2rVrvc5Ns2euyT0iCBYvXpxLX9ooIZMy4bPlQ/c9yX3aA1lWGKaNLBuq2rWhJqJn6dKlQ14UsV9n25S/33DDDUmzzj77bGOTlhS1U/eHSwjaYxxCx7FM4F988cXEjGuvvbbQQyYi8K677krsl7YUiTqZxF944YXB3RjyDkrlTY2vuj11FpT+rsi/pc9blL+X+ZbYhSsfIajHREgHukS+/aadfPLJ5pZbbjFbtmwJqX6orGXkGyXh85AYya98nkMZCPQDAURdP/QibYBAhwnIBFkE3OTJk6O0Qnu1fCZKUR7qUYlMTiTEtIyosxMbl4DwMGPEBEz+wcdLEFJ3G8vGSFij26X3IZUNq62Dk3iVXJP4Op6brtN3caWqLU2JOmtn1YQiur0hiwNVOfneX3b86LDhmN+Ttr5nvjwpB4EmCSDqmqTNsyAAgUYI2LDHOsO+Qhsik6Urr7wyOAumTYRhxVfZ7HRpe9vIKJRpL8vrsEefJD5N2CresY0bNyZe515fTY2vpkVdbK46BNMnSU/s52d9F8qEd1sRH2u/r9iVd6h53QyoHwJdJYCo62rPYTcEIJBLQIfsxFw1roJcVpzLhDXZfTQxvY7amxlr70sVNl28V3smYnpQq7CQjLHvfve7vUJIqzzHdW+T40ueJSGD69atc5nVyr/38gzMNBDxQn75y18OXhSwZ2nGPl9Re3tjZPtt5QDAKAhEJICoiwiTqiAAgXYQ0BNu30x0dVouXh2ZlCxfvjzoMXZyHHOPihigD7kusyqfboTelxbUQEdh2eMTmnEx5vNddaXP5qpyFqHrWT5/l4WDzZs3B2Wo9Kk3tEzs8RX6/K6Vbwsv8RrKtyY0RNyGSMba7yv917ZveNfGFPYOJgFE3WD2O62GQN8T0Ofc9XKV12bYdE22JdTokEMOGZqQ27Tz0lFlz47K6mTtGYgVNiiTQbE39jVu3LhWe2Ckb+fMmWN2794d7UyusgxlvL/88svBCwdln5d3Xx3jK7aNbavPerrErl55zsUGeY9d+zGlnN7/bMNHYy+e6WNcdu7cGRy23rY+xh4INEEAUdcEZZ4BAQj0hIBdAY/t6QppjEx6ZG+fK6uincRI2fHjxyd7o+qY5NlV9V4yCeHX9rJaxMT0VIS0207IXVkyQ+osW5bxVY6cFjGuo1LKPSH/LlmcWLlypVcGYDkGRTJ/zp07N1nMkP9CDr33sd3uI455JqfPcykDga4TQNR1vQexHwIQyCWgJwcx96T5IpewxFdeeaXw2ANbV/oMKpk4rV+/3ikGfW2Rcr2cOIbY2bWydu9P7D1Fvhxk7IinpNfhn4wv3x7LLmcFcdN7NGX8nnTSSc6wS+1RtC2QxaHYiwltWIyr1pPcDYHeEEDU9YY7T4UABBoiYCciIpJihjHGNl8EqD2XTOqeNGlS1L1R1qPUdg6xuTZVnxXlscPQmrK/6nMYX1UJvrmPzIbz9ioM09UK6Wd7jRo1KtpRNLZOHbHgCll32crfITBoBBB1g9bjtBcCA0jAHkAtTW+zsKura+ran1eXvV2s14awSdjsoAk7xle8ESssTz311CSssa3CLl5rh9dkjwmJHc5Zl73UC4G2EUDUta1HsAcCEIBAZAIiOGKdbxfZNKrrAwKMrz7oxBY0gXHUgk7AhE4TQNR1uvswHgIQgAAEIAABCEAAAhAYdAKIukEfAbQfAhCAAAQgAAEIQAACEOg0AURdp7sP4yEAAQhAAAIQgAAEIACBQSeAqBv0EUD7IQABCEAAAhCAAAQgAIFOE0DUdbr7MB4CEIAABCAAAQhAAAIQGHQCiLpBHwG0HwIQgAAEIAABCEAAAhDoNAFEXae7D+MhAAEIQAACEIAABCAAgUEngKgb9BFA+yEAAQhAAAIQgAAEIACBThMIFXX/Pzsd8Gvz3wigAAAAAElFTkSuQmCC"
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"
    }
   },
   "cell_type": "markdown",
   "id": "ec76ba02-f936-454e-9096-9aa0ce248091",
   "metadata": {},
   "source": [
    "![grafik.png](attachment:87611157-5376-4e9d-bc57-bc2072304dc7.png)\n",
    "\n",
    "---\n",
    "\n",
    "![grafik.png](attachment:ecffa3c8-4a1b-4041-99eb-dea0676bc39c.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "dddde255-6445-4913-b2c6-036331b4d318",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "def distance(x: list[float], y: list[float], norm = l2) -> float:\n",
    "    return abs(norm(np.array(x) - np.array(y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "0a0172b2-c513-4ad4-adb2-509146773140",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle a = (1, 2, 3)$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle b = (2, -1, 5)$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle d(a,b) = 3.7416573867739413$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle d(a,b)_{L1} = 6$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle d(a,b)_{L\\infty} = 3$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = (1,2,3)\n",
    "b = (2,-1,5)\n",
    "display(Math(f\"$a = {a}$\"))\n",
    "display(Math(f\"$b = {b}$\"))\n",
    "display(Math(f\"$d(a,b) = {distance(a,b)}$\"))\n",
    "display(Math(f\"$d(a,b)_{{L1}} = {distance(a,b, norm=l1)}$\"))\n",
    "display(Math(f\"$d(a,b)_{{L\\\\infty}} = {distance(a,b, norm=li)}$\"))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.2"
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 },
 "nbformat": 4,
 "nbformat_minor": 5
}