tomography/xdesign

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docs/source/demos/FullReferenceMetrics.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quality Metrics and Reconstruction Demo\n",
    "\n",
    "Demonstrate the use of full reference metrics by comparing the reconstruction of a simulated phantom using SIRT, ART, and MLEM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from xdesign import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "NPIXEL = 128"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate a phantom\n",
    "\n",
    "Use one of XDesign's various pre-made and procedurally generated phantoms.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)\n",
    "soil_like_phantom = Softwood()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate a figure showing the phantom and save the discretized ground truth map for later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x300 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "discrete = sidebyside(soil_like_phantom, NPIXEL)\n",
    "if False:\n",
    "    plt.savefig('Soil_sidebyside.png', dpi='figure',\n",
    "        orientation='landscape', papertype=None, format=None,\n",
    "        transparent=True, bbox_inches='tight', pad_inches=0.0,\n",
    "        frameon=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate data acquisition\n",
    "\n",
    "Generate a list of probe coordinates to simulate data acquisition for parallel beam around 180 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "angles = np.linspace(0, np.pi, NPIXEL, endpoint=False),\n",
    "positions = np.linspace(0, 1, NPIXEL, endpoint=False) - 0.5 + 1/NPIXEL/2\n",
    "theta, h = np.meshgrid(angles, positions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Make a probe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "probe = Probe(size=1/NPIXEL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the probe to measure the phantom."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "sino = probe.measure(soil_like_phantom, theta, h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Transform data from attenuated intensity to attenuation coefficient\n",
    "sino = -np.log(sino)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(sino.reshape(NPIXEL, NPIXEL), cmap='viridis', origin='lower')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reconstruct\n",
    "\n",
    "Reconstruct the phantom using 3 different techniques: ART, SIRT, and MLEM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[##########] 100.00%\n",
      "[##########] 100.00%\n",
      "[##########] 100.00%\n"
     ]
    }
   ],
   "source": [
    "niter = 32  # number of iterations\n",
    "gmin = [-0.5, -0.5]\n",
    "gsize = [1, 1]\n",
    "data = sino\n",
    "\n",
    "init = np.full((NPIXEL, NPIXEL), 1e-12)\n",
    "rec_art = art(gmin, gsize, data, theta, h, init, niter)\n",
    "\n",
    "\n",
    "init = np.full((NPIXEL, NPIXEL), 1e-12)\n",
    "rec_sirt = sirt(gmin, gsize, data, theta, h, init, niter)\n",
    "\n",
    "\n",
    "init = np.full((NPIXEL, NPIXEL), 1e-12)\n",
    "rec_mlem = mlem(gmin, gsize, data, theta, h, init, niter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DgxSxWKyhXkDYmHanJ8TjcW5X15ihF3QylrLZLJe7tLSEdDodOb1iI+EzEuWUDNkW8rpJA0oaUVSWvHfldyrL52IsjUDfPj63Y9dAk67ErQw313iVuIMJrmuyr3x3fbtE1dNXP5oD3y6ua75s73bc6X11dK9Zs2PRflHu5fK7z609yu3dvWby90T2S9levuusKIqiKMrGR93LFUVRFEVRFEVRFGWdMBvRnc0YUwAwQ0FySO3J5/OsINB5LSwshBRpUnyttQ0uuL5gYIA/OJoMaiXbkBTOeDzuVd4vvPBCAMCBAwdC+5Ca6XMHvfjii/HQQw81LL/ooosABIHWKGI3KbjAigKaSCTYxbGVqiJdxqVSRipuPB5nVVqet3RLJ0V4ZmYm1HbSS4CgcpeWlpqqPNK1X+5HHgJHjx4NBVpzkaqvDH4GrAS5Ixf6/fv3Nw1o1NPTw4HYJicnQ4HpgEB9J3UcQMjLQN6LhGwvggLFVatVvs9kUCgA3msuozjX63W6n4vW2vDciS6B+vLy96butcYYr3sw4FdJWwWlkkp0s8Brcv1qgl6559UsuJkbTI629fVZ1/Oh3fpQG0qVF4DXc0DWw6fm+9z2o64T1S8ejzcEMJO450i0CnIXRat7Q653z0eq325Zbh2iAgFGnUOz51WTvtCVfVn2Y0VRWtKV/RjQvqwoHdJRX+5Y6TbGXG2M+aox5qgxxhpjXiHWJY0x/9MY8zNjzNzyNv/HGDPqlNFvjPmcMea0MWbaGPO/jTH+HFuKoqw52o8V5bGB9mVF2fhoP1aUxwGUzqbdD4AXAfgIgFcCsABeIdYVAXwbwK8BuBjA0wHcCeAup4xvALgHwFUAng3g5wA+30EdCgBsNpu1y3WwAGwymQz9T598Pm/z+XxoWaFQaNguHo+H/u/t7bW9vb38fy6Xs4lEwiYSCT4eHVMuB2C3bt3K33fv3t1wrFKpZOPxeMMx6VMsFvn74OCgdxt53rKswcFBOzg4aDOZjM1kMhZA6Dttm06nm5a7ZcsW73LaP5VKhdrGt21/f7/t7+8P1YHaSl6/QqHQ0N7UTqVSKbRsaGjIe21lG+zcudPu3LmTt6NzB9BQb/fa9fX12Z6eHtvT08PHk8eU2xpj+Pvo6KgdHR21AOzmzZvt5s2bQ+eza9euUB1SqVToPuzr6wuVK8umz44dO+yOHTssABuLxWwsFuN1sViM23hgYEDuV+jGfiz7su9DbeRbJ8/bXe6uk//72pWWueuirkG7dYnav1kd3LLonvadVzweb1qWe25uG7VbBzqWrw5u36GPfDa65+JuT+Wu9hxbXf9m+0U9f+WzxFc3+d33HG91H0Vd56j2FJ+u7Mto0o/1ox/9NHy6sh9rX9aPfjr+NPTlpv2rU6Pb6ZwW4sEQsc1Tl7fbvvz/pcv/Xym2eSGAOoDR1RjdIyMjdmRkJPQi4zPW5IuPNKLkSxEZrCMjIw1lyZch13ArFAoNhjyVBay8VEnDUr7IkZFG+yaTSV5PBmo2mw0ZZsPDw3Z4eLjhHOgTZdTLtqHvZGTKF2XfvnIAQJ6v3I/aImqwgOoV9cJLHzkokMvlQkZYOp226XQ6dN6ybV0D3v1O+0XVgdo7Ho/bgYEBOzAwEBq4aOPlOHQ8Oj4Z8NKoz+VyPGhBx21lPMhBHXlPRtSr6UPhfPVj3w+877ybGd+0j7vMZ+SQodnK8HLvTdfwc+tIhiota2WsRxlpvvuRrmeUQdpu+b717RrQtM5X36hBDp/RTdu6daPlvn2iBlLbHRCJuid816udARfZtq3q0Mmgja/tI54BXdmXoS/q+tFPJ5+u7Mfal/Wjn44/HRnd5yKQWnG5YtPL/z8DwLS19i6xzXcQPBiu8hVgjEkbYwr0AZBfzworitLAWfdjQPuyonQB+pusKBsf/U1WlA3GuqYMM8ZkAPxPAF+wKxPNRwCMy+2stUvGmJPL63y8B8AH3IULCwvo7e3lHNZGBBaiNE75fJ6DVqXTaQ4CNj4+zkHPKH+zm46LgoDJIGcyEBYF4Dp+/DgH4DHLQXP6+vo4IJnM6yyDt1H6ssnJyYaga9VqlcvK5/McxG15JBIAOAUWsJKjulwuczA4GWRJ5vGmtonFYhzUzA0OBQSpx+i4FPRH1lPm5e7v7+f6+AKlGWP4fKmNZUCzLVu28P7UVktLSxwoTQY+k8HeKNf5kSNHQm3r5gyX51UqlXjbTZs28f0jU0zJFGa0LZUhg7oVCoWG/O6SZDIZCholg8HRegqkNj8/z8eloHNzc3OhIF4U1GlsbIzblgLEVSoVDvAWj8fXLF3YGvZjIKIvE3SuMjAf9T83qJXcxzhBrawNp3TyBT8zIjgZ9RVrbUN6MRlwzDhB12gf2S/ltvJ/d72PqHVRy33HaBWIjP66gb9oW+MJ4uVL1yeXu8HfmgUUk3WS+7oB1ehcfOcY1bbNkNfcl7bN11a++jTbRtbLXe9rV8INDCjz0K8l6/2brCjK+nMuf5MVRVk71s3oNsYkAXwZgAHwlrMs7qMAbhD/5wGMkcEj8zq7LzWzs7P8IrSwsBAytMkooZe9o0eP8vdMJuPNvU0RptPpdCjaNL3E0fFPnjzJxpR8eZIvZdIociOpy7JkznBpjOzcuRMAcPDgQX4ZrFarDcbYpk2bOAJ2LBbjAYJKpYJt27YBWMkVvXv3bo6ULiNhk9Eu80tTPYAg8ja9gNN+1lo2fk+fPs3GNkXzludcrVb5xZPq19PTE2o7yvktI8xLY1xGEXej0MvBAjlYIQ1m2l9eV3k8usbJZDI04ELXgcpdWFjgui4uLnoj4hOJRIIjnff393MbyHpRu+ZyOR5k2Lt3L19fGR3dbS95jVbDGvdjIKIvA+HBqcXFRc7jTu3XLEK3u9w1plyDUxrwrrHlO0aziOO+40fVRS6XxqlcJpH1BRqjgbcyRFsZhpJm+cPdgY1Wxq5rWMvjuetkHnaXWCzmzegQdcxOBzzctmp2H7mDPs229Q08uOW7AwAA+J6X/ThqsKlTzsVv8lmWqShKC87lb7KiKGvLuhjd4qGwA8C1NhxO/TiAIWf7BID+5XUNWGvLAMpi+7WusqIoDmvdjwHty4pyPtDfZEXZ+OhvsqJsbNbc6BYPhScAeK61dsrZ5HYAJWPMU6y1dy8vuxZB+rI7OznW4uIi4vE4HnnkkYZ1Mj80qQ89PT0hpZvUA1Iqjx07xuphuVxmd+iTJ08CCBRQUq9Pnz7N5fb39/M2xJYtW3DkyJGGepECWi6XQ2qGm8O6VCqxOitd1aenpzk/88GDBwGEc2cDgfu1rPfExERIBSbVenx8vEGNke7PUqGVSh99z2azrFbn83lW08nF+eTJkyGl9YorrgAA3HvvvVxPam/pDu6eHxB26XZdxYFAcZbuqbSc2nB4eJiV6GKxyO0pc+SSwp3L5XjKAbCSM5vyYc/OznK527dvD9UTCOdFl0j1i+paLpf53OU9RN4CuVyO67W0tIS9e/cCCNqOFECqC6lkQHDtzkblPpf9mKjX6yEXf5/CGaU+Sxd8Wib3cRVk6VIu3cd9qqKbm9unyDZTlNtd3mqdD9lezcrzKeJu35fu9i5RirPP7XxpacnrKh7lot7snH37xOPxlu3drtt5O+q0r43lfr5c5b5c625edF8d5TNX5k0/G85HX1YUZW3RfqwoG5+OjW4T5PzbJRZdYIzZA+AkgGMA/hXA/wPgJQDixhiaS3LSWlux1j5ojPkmgE8ZY94MIAngEwC+aK09ig4gg4kMSmstz9+mecvxeJwNsKmpKTZOBwYG+LtrNNF+ZATJly4y5mdmZti4nZyc5DqQESkN7mQyyS9TVJY0FOS50HqqP21LDA4OsvEn5zOTMd/b28vHpnne6XSaDTD3BVcaakBg5JFbfalUYvdtOj9ZRzKyfeUSl1xyCYDAHVrOl6f6ycEEQrpWkxv3yZMn+eVVDjDIl1QyTjdv3tzgIi7LlHXdvHkzu9ZfdtllAIAHHnggNEef2puQAyqHDx/m6Q1UTrlcDt0bhLXWO0edXr7lfUIv8KdOneJBjIWFBa7X5OQk39f0Ul6r1XhQKR6PNzW6u6kfE/V6nQcg3HnUQPQ8bWks+eYoy22JWCzmNUSlgRNlwLu0MsTdYzUzCKP6kc+93GcgAisDWJVKpanLedTc63ZcowmfIU73qIsvboT8v93BDDnw59bbV5+o+4f+yuvsq0vUgAvt18r9PeqejKqju18brvxd15cVRekM7ceK8thnNUr3lQC+J/6nuSD/BOCDAF62/P89zn7PBXDr8vfrETwM/gNBZMUbAbxtFXVRFGV1aD9WlMcG2pcVZeOj/VhRHuN0bHRba29FEMAhipb+kdbakwBe2+mxo5ABufbs2QMAuOee4LkUi8VYVZRKolQaiVQqxQrl0aNH2cWXVOSZmRlWxZ/+9Kfjjjvu4H1JdXRVUSBQdEnJlUqaDLa1adMmACtqqXRZL5VK/F26YZPC0tfXx+r04uJiyJXcZXBwMORS7apSUoUirwE6d3k+VD6dD6mxVB8gUKelEk37kforVeBCocAu3TKAHUUWl+ryzp07cejQoVAbAGFVnb6Twi2jAcsAcVKFeuCBB/g7qUtLS0vYvHkzgJVAadKLoVgsYv/+/QDAKnNvb2/o3GSgP7rv6HpPTEyE2ohc68llfGZmpiGoEtWL7ik5ZYLuqVqt1lTp7rZ+TEHf6N501WFxzKBy4j5tV60F/O7YMoBb1DY+2g2uFrW8HRdoqoPPXTsqwFYzNVweN+r4vrZzXaMJGZRRlu87d1omo/DL5b6Ag1FR0KMU8E6Dm8ljuNMI5PkQUdHafXVtN7Cdb7lb11QqFWpjZ99b0UV9WVGUztF+rCiPfc5Fnm5FURRFURRFURRFeVyyrnm615uenp4GRY+CdBHVajWUo5qQSrIMuibTWpFiJFXeZz/72QCAH/zgB6GURq7CPTAwwOrU+Pg4K0JStSR1eHFxkRVuolAocP3kvOvBwUGuI5V54sSJkJpKCjcpMLt37+YAXG4+cHc+++TkJCs0UumWc+RlHm06B1KeAXAKrHw+7w3MJuee0jFkPmpS8zOZDCvVMrDZsWPHuAypjlGqs2QyyedL5HI5bk85v5vUdwDevOu1Wo0Vbp9KNjs7672/SLEeGxtjJVwqkzQfvre3l69XX19fw31kjOE2lmnutm7dytvS/Z9Op7n8mZmZpupYt7G4uBhSnH3zqKX67ZuPLZe718oX7ErOfZb41ONWqZ6a4dZVBtOjY7UKmtVK0Za0CvoWVe92z6dVHeQ5SqLOrdlxo+aSR3lBuCnW3IB5PuT1bLWt775sd55/VF50XxnudhulHyuKoiiK4se0G+W1mzDGFACwJSwDTdH3iy66CABw33338X7SwAHCbrlAYORJ912ZRxsAnvKUp+Duu4OgkMVikY2tQ4cOca5kMoDcKLTuy6mMkB2Px9mF2eeeLiN3U3lUByDsKn/hhRfiwIEDAKIDKlFU9mw2ywYyrU8kEg3nLenp6eEXQpmPemRkhA34qMBFdI50TOnyLduDBhmWlpb4ZVReu127drEhS8ePx+OhQQLpau4yNDTEhrccsJHBz6gOsViM24Pc0ovFIhvNsv/4jDh57WS+9CiDzy2rXq/zvbN582Y27BcWFnjAgO41WVZ/fz9mZmbI0Ck6qUW6BtmXo/Igd2Lk+u49+l8ip5pEbdfKDTxq/Wpyekft4wYMk+sTiYQ3gFwrZDBHXx2i6iGXubm1XSOxWXRx173cHXDotD2bIe8peQ6ruUbu+laB/prRLIidWy9n267sy+5vsqIoTenKfgxoX1aUDumoL6t7uaIoiqIoiqIoiqKsE48JpZvybE9MTLByKXNwSxdqUmjS6TQrqzLwGKmHc3NznN6JFM6jR4+yK/rc3JxXpZQu46R+G2PYrZsUTHKnBcIumrR/pVLhbaXbZLlcZnWX1NgzZ87w92QyyYov7T8yMsLu69I9HIA3hRWxbdu2Brd3dx9qG6mOk9ojFeWFhYUGzwJgJQBdMplsUIFle8gc6TMzM6FgaHR8n8pE7ZLJZPgauHnVSV2SCiC18dzcXEv1ys3nXigUQi7sst7yO0HHku7T5AFgjPG8OzyDAAAgAElEQVSmiwIQulcJ3z2FDTSq3kxtXd6+YVmzgGBUjk817yQAVrtEucBH1avZslZ1ksHVOsnlLNui3Tq43jqtvBB8ZUl1vBPVulmucXeZz728EyX6bBXw1dQ76rgRdenKvqzqmKJ0RFf2Y0D7sqJ0SEd9ecMb3QMDA16Dkebnjo+P88tLIpFoGtF59+7d2LdvH4DAUCJjiOb0Dg8Ps4vz3Nwcv9gVi8WQEQcEhnozN213vu0Tn/hEAMD999/fsG0ymWTDjupCxwACg1PO+ybjlspfWFgIGYa7d+8GAOzbt6/BYJQGaatzkO7hxWKRDUmfMQisDI7QIMj27dtx+PBhAGH3cRnV3Tdfure3l7ehutbrdVx88cUAAvd1MnrlS650W5eGLtVTTlOQbUmDBNINlsrN5/N83vIlmY4lI9fLaz40NAQAoWkDrdqbyqOyKMo7HTedTvMLen9/P7vxYwP8wEe5JAN+4yMqKjVtKweqpCu5c2zeloiKCN4JraKf+9a3GzHdpZkR2KxNm5UVVV4nx+/EhX41bvxR7eUew3UD99WzmSt8lFHfDs0iqbt1buXOL+jKvqwv6orSEV3ZjwHty4rSIeperiiKoiiKoiiKoijdwIaOXp7JZEIKswwiRvmdgRXVQ0bbXlhYYKWYVLB9+/aFooCTgkkK7bFjx1iJLBaLrIiePHmywXW6Wq2G1BhaLyODS1XGVbjz+TzXKxaLscIt3W8LhQKAIOo6uXwfP36c671t2zYAQe7v0dFRrqtUU8m13hcpfWhoiN3LpfpM6vj09DTXJyq/9/bt2wEAhw8fDqnV1J7yXEjpproeOHAglEecXPtnZmZ4Wzk1gBT0crmMCy+8kMsAwtdr8+bNoSj1hFT9aVvpjSDda0mxkm7idJ9J1X56eprvg0qlwko1KdzxeJyXnT59ukEd6+npCbUn3V9zc3MNXgBSoZdtuxFwFUCpOPtUS2utV+10cxsD4Wso+5xPhT1blTsqcrfEd9zVKqjN9mtHfW63rHaPQWU2y7He7nK3jnJ7uk7usdw8261cyttpo3brGbV9s5zlss5AtILfqcquKIqiKEp3oUq3oiiKoiiKoiiKoqwTG1rpXlxcDKVhOnDgQCjtExCoXaRmTk1N8Zxu31zwHTt2cCoqYCXIF6m9tVqNldWZmZlItcL9301VRlBQrVOnTnnnO1JdZa7mpaUlVsBJfXbTm1EdZRA0mYpMqrPuvGuppMt9ZL3c+euyLsCKUn306NFQG7tK9xVXXIG77rqLtyVonjew0gbJZJLnMJdKJS5LKvObNm3ietM9Ic+TlGpqHyCc2o28CZaWlrjcVCrVkJYpk8lwvXK5HH+ntjtz5gzXZWJiglUrOV9eekbQ/HN5L/typQMr6lkmk2loA3ku+XweqVTKG+9gI+DLr+yq21FqJxAohlLhbjVnupU6vdr0Ya1w1dCoXM7rpXKuVbmuF4JcTstatZ0vKFsnc64lvvn+reot92sn4Npq8rT7gvvJ4/nuz7WIM6AoiqIoyvllQxvdQGDUkMFXrVbZ2CYqlQq73cpAVtIYufzyywGEc3oXi8UGIxEIG0F03Hq9zoYXuQonk0neXxrc0lCWxu/w8DCAFbdgaUBt374dhw4dAhDO+yyjgMtAUnQ8aYxJA0RGB3cjYku3/Ewm43Wz9rntyv1k5G4JDWJQW5HBTcggYUAwGEHHj8Vi/GI6PT3N32XbynMhw5oilm/dupXdz+U9Il9mt27dCiAI9EbtX61W+UWZ2rNcLnujkNM1SKVSIeOZ3NanpqYaXMKl+/jExAQPGsl7j84rn8/z+SwuLjYEfpNlzc7O8vSDjYIxJmR4+XIq+wxtNyc3EL6ubl7o1dCuC3QnEbZ927QTuGu1AwCrDarWzr6duI67Ed59kbzlQEuziPWtjF9p3Ea5jPsGPFu1batyqW5uub6pErIMXzA7NbgVRVEUZeOj7uWKoiiKoiiKoiiKsk5saKU7l8uhWq1604CRcnzixAlWhAuFAquz8XicVUWpcMsc1KRU0LKJiQlWQx999NFQ4CpSQaUSTqpFPB5n91aqayKRYNV7fn4+pFoDQfoquS0xNzfHSrBUw10XaHc9BSGbn58PpamS5wCEVZtCodCwXtZHKt0yp7dU0l33aGClDWTKMbmt3GfLli0Awi7nMj2ZPEfp9u7W+/Dhw1xv6eZdKpVYlSYVGQDfG9VqlY8llWxaJusig83JfNk+F3tSoU+fPs33RiKRYBXep5LNzs5i8+bNAAKPCPcc5+bmQsEBozwOuhWpevqmbrgKaFQZhC9neas8zJJ2U1xFBU+LUql9imqUCutTU1vlL1+L9GFr7c4ur12U+3ir/OY+1qKeq3U/b3Vsn6eGLMeX3i7q2rUToE9RFEVRlO5lQxvd8/Pz6O/v57m+8iVV5rOWhjS5ko+NjfE25Ioci8VCBhK95EgXZjIs3Tnh7pxRmb85l8uxASRza5NRkMlkGl62crkcn5ckn8+zK7c0eqXBSEgj8MiRI7xcuiXTNlSWPC/ZhjKquxwgoPOW88el8Uv50o8fP9503vvo6GhoXjcQvGy6y4DApdvnWi3dMF2X1Hg8zga6dC+fmJgIzd8mqO1lmTQAIF3pZ2ZmGvKSu4MJcj0NflD5sr1lLnE5mCCj0Mtju0ZlIpFomee7W3ENC59bcb1eDxkwvkjkcm60NLZ984XlOp+x49vW584cZRx3Mh/bF2273X3b2e5cRr72tVErQ9vF1x7tGJ2+Nl9Nnm65b7My2zm+rLfs380GT6QLvhtpX1EURVGUjYe6lyuKoiiKoiiKoijKOmE24gi6MaYAYMZdnk6nG5S+ZDLJquHWrVtDEblJ4abgVlLZTSQSrFZKdVLmhaYI1LVazaswUrmnT5/mMkjVlEGv0uk0K6oyPzOp45dffnnIBd5VQ+U5AuEI5ECjQiTPxw2KJoN1bd68uWm+51wux6p3JpPh45ALNAV/I1xvgF27dnG0eFmWzy3YrXcz3PYAAndxUrjl976+Pi6P6heLxXj/eDzeoF5J9Vu6lxNSqUylUnw94vF4QxT7bDbL6+fm5nhfNxCcSz6f57J8fbi3txeZTIbOs2it7Upfc7cv+1xxfcqvq1DSPdPKhdk5dqjMZkQp7M3KjypnNdHJ1yOKeaugbueKTo8r691JFPHzhS9yfjweD90/zc7Bud+6si9H/SYriuKlK/sxoH1ZUTqko768oY3u7du348iRI6GXGTnnlfAZa6VSiQ0aX3RYaQSSS3ihUOD5vzJtlYQiVZfLZTaq5RzinTt3AggiZMt55z7IIC6VSjwPu1AotJyrG2W0+iCXaXI/9w1cyLoYY7zro9LaSLd0St1G7S7bRRrCPqLKl3OYyeV8bm4uNDjiIttQRrSX0Jzu2dlZPt+otFNkNNA0hsnJycjju9HL5Xn57inXqKBjpNNpdr2n+7tarXrPFxvgB57caX1GoMS3PpFINAyytHHcjubnEqtN39TJXPL1oNM53as9BtHsWO3UZbWu+evBWl07aWj7IrZLjDFR91lX9mV9UVeUjujKfgxoX1aUDumoL6t7uaIoiqIoiqIoiqKsExta6XaXS5dtQrpLx+NxVmyttRxFm1TNpaUlViBcl2FCqp3NAmS5as6FF14IADhw4IC3XCqL6lSr1SKVVVJFaJ/Z2dmQitxMmcnlcrzfxMREQxCw3t5eVkuHh4e9Kry7DxBWrUnBr1QqIe+CZnml5ffR0VEAgbeCbENyq5dtQ+fotlGz61EoFPgc6/V6g/oM+HORy3qQ4ry4uMhKuO+8+vr6eHmpVAoFQnORqrtU7+i8C4VCKHifi8/VnVZthFF1GTwqHo839dRIJBJeV3J5X/hU8XbyLJ9tULRWNHOh7zT3tlzfLOf3+UK2e1S9ZBRv3/puUb3X0h1feky0q/wvb9OVfVnVMUXpiK7sx4D2ZUXpEFW6FUVRFEVRFEVRFKUroHmU7X4AXA3gqwCOArAAXuGsNwA+BOAYgAUA3wHwBGebfgCfA3AawDSA/w2gt4M6FJaPbVOplKXvAGxfX5/t6+uzuVzO5nK50DoAtqenx/b09FgANpPJ2Ewm07ANfYaGhuzQ0BD/39/fb40x1hhjk8kkL08kEvx927Ztdtu2bRaALRQKtlAohOoRj8f5Mzg4aAcHByOPH4vFbCwWszt37ozcptknnU7bdDpts9msTSaTXGdqIwB2YGDADgwM2FQqZVOpFLeN++nt7bW9vb2hZbLti8Vix/WT5x7VDu41cK8jtTHVgepBbSfbwvddfkqlki2VSjaZTNpsNmuz2WzoPqH1sm3l/v39/ba/v98CsCMjI3ZkZKTltclkMtz2vb29fCy6XvIc3Gvj1qFUKtnh4WE7PDzs3vuFbuzHsi8bYxraiPpaIpGwiUTCxuNxXuZuS9v41sv+Kfuh77rIfaOO1e76ZmWeTbm0Xt4bG+ljjOFnYNR5ttu256q+a3EfRLWBXE7PrVgsxuU623RlX4b4TdaPfvTT8tOV/Vj7sn700/GnoS83+6wmT3cPgHsB/COAmzzr3w3gbQBeB+ARAB8GcIsx5jJr7eLyNp8DsBnA8wEkAXwawN8DeG2nlanX6+wKnEgkvJGtyX18cnKS3X597quDg4McPG1hYaHBVX12dpbdABOJBEcvn5mZYfduma+atp2fn0exWOT6UlkyMvXQ0BAAcMC0kZERdkV2XYbpuOSKvLS05HX5lgHPyEUZWHEP90Uv37RpE5exY8cOjkBOx7TW8nrpeu1zjxwaGmI37vn5eT4WuQDLa1UoFDiQGrmbGmO4PYAVl/HTp0/zdZLHledO9aXjy7YoFouhcinwnHQvl0GhyOWfjiVziksXfBnETAaFk1Ma6NypTHl8XxA0YwwKhQKft3TFdQPazc7Ohs4hkUg0c9Huqn5srUUsFgu57FJfiTqHVoHUqK3l/lFTNtx6AK0DZ/nu+VauwrFYrGUgNtpfBteSdYlyw94oWGu9bRB1voTPnbuT6OWrDSZH+0Ttv9oyqQ2SySSX4bvX2wjc11V9WVGUVaH9WFEe43RsdFtrvwHgG0BjdGETLPgDAB+x1t68vOy3AJwA8AoAXzTGXArghQCeaq29a3mbtwL4ujHmXdbao6s/HUVR2kH7saI8NtC+rCgbH+3HivLYZzVKdzMuADCCwO0FAGCtnTHG3AngGQC+uPx3mh4Ky3wHQB3AVQD+rd2DXXLJJdi7dy+rV/JBRer21NRUSHVsluvZTVlFyqkMAEbHWFhY4ABZUmmjbTOZDB8jk8mwWk2qJQBWvyuVSkh5BRAKuOU+gEnl9dU1k8mwMkLlT05Ocr2q1WpTRUmqNlIdl6p6JpPhc6VzzGaznIaLjjs+Ps6ps6RiS+0sg9zJelD9lpaWsG3bNgCBB0Gz/Nzbtm3jsqanpxvUIRmkTCriQ0ND3PYyzRede6VS4bRkpCwfPXo0lO6N2kOq19SOMsBcLpfje5WOdfLkSVa30uk0q95U5tzcXChFnGwnN197rVbjlHVzc3Pe1G5tck77MdA8VzG1mVS/JT6V21WU6Z5qJ93X2aSGclVYd3knZfu2XW1e6k5V3mZBwqLKWk1gMRlQbDWeBXJZq3O01rYdJM+37Gw9C6JSqsn7l/q0DPRHQQFXefxz3pcVRVlztB8rymOAtTa6R5b/uiGvT4h1IwBCFqa1dskYc1JsE8IYkwaQFovyALB37142XgC/e6+bh1kawmQkURnpdJoNt6WlJX4JlNGn6Xu5XMb27dsBAIcPH2YXYjKI5THJaANWXIkBhAxtMrJk9Grfy6g03Oh85cuYNPyoDUqlUqgMaXS6+WEHBwfZdXr//v28nAy4crnML4bSCKb6AysDG8lkMuQGTm3nQ9bpyiuvBADccccdIXd9Kjcej/O5kSEvtwPQcKwoV3gZDVy+/FLb03Wl8wGCe4Ncyrdu3YqxsTEAwMUXXwwgyMFO7UUGNxBcGzm9wKVcLvN+7tQGIBjMoDpWKhV+KSdX+vn5eT6eO1DTIevSj5fr5e3LxpjIHNg+4xnwR/+W6+Qy16BbrauxWwYQ7e7cSXRyiRxEdN2NowzT1Z5PJxHcW9HJwAbh21Y+I5tFsAdaG8Vuu0hXcfrf5z7eyqXch9zWt5/PqHe3jco3fxb9+Zz+JiuKsi6c899kRVHWno0Svfw9CFIY0Gfs/FZHUZRVon1ZUTY+2o8V5bGB9mVFOUestdJNPtHDCCIsQvx/j9hmSO5kjEkgiLoYlcT4owBuEP/nsfxgcINP7dy5E0CgNgKBIugLnrS0tMQKNJUhy0omk6wqkcI5PT0dUnQPHz7M3yk4GSmq+Xye3YJnZmZ4P1Iipfp8+vTpkELtItU96Vou3Zql2/zll18OALjvvvsAhAPAASvK/tTUFO937FhwuR588EHe7gUveAG+9a1vAQgrLdQeo6OjHGhNBvAitWZycpIDxM3Pz2PTpk0AVlTcRCLB5cpzvPvuuwGsKH5AoGj73Mul67XMhb5nzx4AwD33BLfdwMAAq9qFQoHbsVarcc5tWi8VRp/SlkwmWY0bGxtjpfmhhx7ibaT7OU11OHXqFO8n1VDaNp1Os5cBbbe4uMhtVK1Wud6Dg4Os9ksVn5T/ubk5r1LaJuvVj4GIvuy60LqqIdEswBbQWvlsN0haO/jKjyqXtnXVfHdqzNLSUlOlOMq9vJUa2yoIWJQi3C5R0wNaKea+ern3rHS5BtDQfs3aK+q4UW3h3h+dtIO7v6tOu+3rm34gkQElO/EecDjnv8mKoqw55/w3+WwqqyiKn7VWuh9B0LmfRwuMMQUE80luX150O4CSMeYpYr9rl+typ69Qa23ZWnuaPgAafXMVRVkr1qUfA9qXFeUco7/JirLx0d9kRXkM0LHSbYzpBbBLLLrAGLMHwElr7WFjzP8C8F5jzM+xktbgKICvAIC19kFjzDcBfMoY82YEaQ0+AeCLaxFd0Z3bKwMqpVIpVh/K5TIHFyMlJZ/Ps9odi8UaUnX19PSE5tpu3rwZQKDMTExMhLZ1VVlSsl0lHgin1qI5vaT8AcGcXVLIpcJJc8r37dsXUoWlAg8EqjopwvV6PTTfmZTTrVu3AggUlyNHjgAA7r//ft5OKtJUL1K5qW2ovehvMplk5XV8fLxhHnMikeCyKpVKQ9ozOe9eXostW7ZwHXfv3s1tIK/BT3/609Cx5NxtWVZ/fz+vkwHTfMqSVJxJzd+0aROr/JQ2bnFx0TvfvVarcRl078XjcZ4fLiG1r1AosOot54fLoH8yoJpU/pvRbf3Y9Xio1+stVWmfiio9CXz7+QL2dVL+ajDGhFRPedxmqbOigmetZh521DlEpVBrptL60p5ZkQ5PPruonGaB8lxk6rhardY0HZzsU50cIwra39curQLIyf0B//WRy3z3oq8urei2vqwoSudoP1aUxwH0YtfuB8A18CcI/8zyegPgQwhG5RYRRE/c7ZTRD+DzCEbUZhDkJeztoA4FADaVStlkMmlzuZzN5XKRycszmYzNZDLNkpt7P6lUyqZSKRuPx208HrcA7NDQkB0aGrI9PT2h8uk71SWbzdqBgQE7MDBgAYS+A7DJZLLpsUulUuj/RCJhE4mEBRCqDwBrjAm1gXusWCxm0+m0TafTFoAtFou2WCy2bJOdO3fa4eFhOzw8HGpDOlZvby+3hzyfwcFBOzg4aAHYvr4+29fXF1lv+r5jx47Qd/pffu/v77f9/f2hOsrzSiaTXA+q1+joqB0dHbX5fN4aY0LHlO0Ti8W819MYYzdt2mQ3bdoUKl/uk8/nbT6f533kd3kd4/G47enpCd07qVTKbt++3W7fvt2mUim+Nq3uTWMM18G3z6ZNm+yFF15I/xe6sR/Lvkzn0+q86RrI+6jVR5brXmtfu7ZbbrMy2i1H9mu3jr4yqA81O3/f8aPOmcqS640xvFyWRd99xzbGeM8l6vi+48p17bZVq/bu9Hr67g9f+bTM186t7q9mdfKV61zvruzLWO7H+tGPftr6dGU/1r6sH/10/Gnoy80+q8nTfSuCzh+13gJ4//InapuTAF7b6bEVRVkbtB8rymMD7cuKsvHRfqwoj33M2bpOng+W57LMuMuz2SyneKJgYceOHWNXXukans1m2XWZ2iAWi7E79PT0NLsLk1t0IpFgt9++vj52IR4cHOTl5ArpS/kkkWW5ac1cNm3axK7TxhiUSiUAK+6HMzMzIZdVmW+ajiVTmlEu55MnT4YCfgFBADD6nsvl2P2cXOmPHz/OgcFcl3pyyXzSk54EIAhiRu25sLDAAcsoVdrmzZvZTTyZTDa4Y/b394fSqkk3agpeRkiX1NnZWXYz9gUSk2m+YrEYt40MZifTcLl5ugFgZCTIwFGv17mOUTngqV0SiUTbubOp/rVajdtlcHCQ70VfOdLV3XHJLdpgrlbXQX2ZAmLRNUwkEg3BrMRIfIioNGJRrtPLx23pNu4L0NbOfj6oLul0OhQM0VdHOVXEbQPX9dp3jE7O17dPLBYL3X/uenlt6G8sFuOy5L0Xlf7LNw2Azisej7eddk1OQVktvjbwPT9auZe765pdDyCcgrDZtZHu+ujSvhz1m6woipeu7MeA9mVF6ZCO+vKGN7qHhobY6PFFsk2n02w0GWN4Pq80KOW2zYyiWCzGZcViMa9hTcbY8ePHeb7x1NQUzxuWxhwZpL55uFFRiuk8gZWXudHRUY56fdVVV+HOO4OYGZTv+q677grNfd6xYweAYE62a3TL9ty8eTNHNSfS6TQb9ZlMho28vr4+NmQll1xyCYAgp7o8d5c9e/ZwpHE5733XrmCK0/79+zn6+cTERMPceHntL7zwQhw4cKChDWjgQBrSs7OzTfOHS1q9RMtz3rt3L4DwIEYmk+F569QW9XqdX+zl3G46Vi6X8+b0TqVSGB0dBbASeb7Jvdv1P/DGydMdZVxLAzzKMAKC9qPlUX2pE2NpNfO7fXVx50o3u6eSySQPxsmBBWl0+wwz31z1qCjfPgNfIueXy2O5gwHxeNw7t1nOt5YxEdyI5LIN3Ovs1qXZc/Esonx77xO3THkfNLsnmj2/XYwx3B5UVq1Wi7p+XdmX9UVdUTqiK/sxoH1ZUTqko768UfJ0K4qiKIqiKIqiKMqGY8Mr3S5PfOITAaxEMZcqcn9/fygCNOWQJvW7XC6HFMjLLrsMAHDvvfcCCCJ0U3nGGFZ8K5VK227DboRuwlXtBgYGWOlIpVIhFVQqaLSPT0UmNTeVSrFamk6nsWXLFgBBPmtX6ZZu81L1pn2OHDniVXh6e3vZnZ1yZB86dIjPd2xsjNVpUuWf/OQn46677uJ6UXmk7vX09LDrqFSbSqUSnw+pX9VqNZSbmyK7u5HcgbBLqvRuILd5GRncx+joaCjKPHksUJknTpwIKZg0vSHKO0JCZVFbSrWrr6+PVXlrbcM9l8vlOFJ6LpeTngcbZlSd7q1kMslt2I4nAimFdJ/IPMlSlZTHka7R0n28mULZqYtxVP1oHzdqtXtst95LS0uhfeR3V013z4WeMVJFlm3gywst95HqNl0bqT7LyN90DFk+IacJyLJ89fLV2+fZINe7dKJI+7b1Kexyv6ho825EfteFv9V9Rn2Z+vpy2V3Zl1UdU5SO6Mp+DGhfVpQOUaVbURRFURRFURRFUbqBDa10p9NpZLNZnlcchQyE1Uz1iFKxKKDa3Nwctm3bBiBQaykA19zcHCuUpGouLS2xKl4sFluqp3IuOBCecy5zc8s6knJ86tQpVuv7+vpYWXFzfxMU0GxqaiqkpgDApZdeip/97GcAgIsuugj79u0DAD7vXC7H7W2tZSW8UCi0zBEt53e7SFVdzuMmb4JyuYxisQggUKqpnUglK5fLIS8CXz50KqtYLHIAt23btrFXBAWom56e5rKstbycvAGi5o1SWwIrqlg2mw3lBSdPDMqBLudzDgwM8PzsKI8I3/EuvPBCAMADDzwQWi+C9XX9qDrN+W2m/vkUVCBQkUn97KRfS2+EZvO4o8qNgp4LVCdZV+nRUavV+NkkVWSpuhNyjrQ7n5qQc6Lp/OQceamA01+p4koPGredZd50ec/KAJDyuK7qLusiz0tuK49J2ywtLTVcG3kubs5wGYgPaAgo6MXnGRCleLcK1BflZSDLoHNsty4OXdmXVR1TlI7oyn4MaF9WlA55fAVSA1aM4nw+z9/J0Jyfnw9FwCakkedjy5YtbGTJAED0Qm2MYSNQuhD7gomlUik2qskQrlar3gBZRLFYDBnS5PLtusgT0k2copOTEZxIJNj9/OTJkyGjVkYyb0bUSygF8yoWi/j5z38OYOVFPJVK4Rd+4RcABIa2ND4B4Oqrr8aDDz7I5/XQQw8BCA8KtApeRlMEml1LKp/asKenh6+DNMgo0NqxY8eaGr3JZJJf5n0B+QCEIsiTUTw2NtYQpT6dTrPR4TvHnp4ersPAwAAPeOTzee9gEx2rXq/j2LFj1A+6/gee3Jt9RokvuFpUsC1RbtuGsjSmpCHablCuqGPRs6JarfL6bDbL5SaTyQbXaRnBvVqt8vcoY08atTS9geofi8X4PpXRxWW7SUOavsuI49LAl3Whc6AyU6lUyGiWruZA2Him49FfelbLKTZyPzoHXyT0VCoVGlSUGQ5cfC7d7rVznzfuPr7gfa0M6aj1coDAN2hEdaFo7t08gKYv6orSEV3ZjwHty4rSIeperiiKoiiKoiiKoijdwIZWuttVs0iRrlarrIrUarUGlTcq5QztPzMz0zTtlaS3t5eVjDNnznA9SYkHVvJ/p1IpVkNIrZJKtwxSRiq1ZP/+/fw9l8uxmkrqyZVXXskBy/r7+1khrdfrnD6MVJVSqcSu11KVo7pcffXVuPXWWwEEbegLciXzm/uUJ1/ea4lUhkjJXlxc5LrMzc2xy7dU9Ukhf+ihh3DFFWWId6cAACAASURBVFcAAKvv1WqV6yADqWWzWe85SKW7mXomkR4ERKlU4vZOJpMcrI3cyHfu3Mku8DJPPHlOnDhxwqugpdNpVlJpn8nJyag27fpR9U7TPUUplFJtbaZAukp5VDAsuT3RzAXZdz8lk0neNp1O87SATCbDfYHKmJmZCQUMk4HhgLCyKxVlmb9btpEv/7cMkiaVbqko073lS0lWr9d5eZQS76Y6k9crlUp583TL/kX7V6vVUBlA8CyQ591sSkI7aSB9ec9b5emWKdLkNpLV5E2X3gbSK0Zs35V9WdUxRemIruzHgPZlRemQx5d7uZx/eOWVV/IcZDJoa7VaaK4uRbUeGxtjY4oMLACcC3phYYFfAsktWeZUvuyyy0Lu1FQWvYi1E81cRgSXhioAXH755bjvvvsABMbcW97yFgDByxgZxc95znMAAG9/+9t5EGB6eprrLV9iL774YgCBQUrznY8dO9YQMbwTkskkG70vfOEL2T2cuOeee7i9enp6eF44uV6/7GUvYwP+mmuuwY9//GMAwPe//30AgRHZ19cHAHjpS1/K7TUxMcFu/LfffjsANLiuN8uBPjQ0xO08MDDAZflcyqV7t49EIhGaV07LfBGW17qv+YxKcpFPpVKYmZkhg39D/MDLtqzX6w2DHFGu3745yPIa+NzW3YjVza5Nq/VR11tGYicKhQJPBZHGJ/2dmprie1m6VhOxWIzLK5fLocEGMvbl8ale8Xi8oe1isRgfN51O8wAA9U+qAxAMMsr2pONSXYrFYsgIpeeRz/W7VCqxUV+v13kAjPpkpVLh865UKqEMBVS+HDiQbS/rSOUT7rYuvoEfdx/fHHi5jNqwUqk0DM60ykPvQu1F+y2ff1f25cfzi3onU1kUZZmu7MfA47Mv/9mf/RmAsCj2hCc8AQDw53/+57jjjjvOS73o/Xr37t0N644dO4ZDhw41LCchjd4FCbInSMCTvPGNbwz97tM2n/rUp1ZZ88cV6l6uKIqiKIqiKIqiKN1AovUm3Y1UJn70ox/xd1JSarVaKOCUzNtMKoxUY5oFFOvt7WVFmEaNiHaVYqmKkGINoCGomiz/5MmT+Pa3vw0A+OY3v8nLDxw4ACCIbu4biZPHkio0BYgrl8us7JOiXKlU2N15x44d3L4UoGtycpK9CarVKp797GcDCNR4GnWjUbkrrrgCn/nMZwAESjQpeM973vMABNG2KeL2zp078V//9V98DCDwOiB3/oGBAXz1q18FEKiFpPzTaN53v/tdPPnJTwYA3HXXXSFXViBQ6qg9tm7div/+7/8GEM4BLaPUX3755QCC60CjjTT6l0ql+PvWrVu5vchtWHpX5PN5Pu94PM4KIQXWm5iY4PPN5/Psfk7qmswBH4/Heb+xsTFWCGXgOXJb32hQFGufEinddFu5ABNymXRh9tFKpZLu575ylpaWvDnBpds03YfJZJLLklNUaJRZuqdnMhmvm7ZUqml9PB7nviKDmNF66UUgFVraNplM8j1bKpV4P9q2VCqxx0+tVuP96H5Mp9PsEdLb28vnS8/TWCzG9SsUCnzvJhIJVv6pDebn5/n4c3NzoXOk9TJSOq335ciWNFO56bzc67y0tBS6z+T1l8HvCDovGeFdliU9onxeF4T09GgnArty/lCVW1E2NmQjfOADH+Blr371q89XdRh6Vy6VSpxViLjuuuvwF3/xFw37XHfddQDAXqQA8KQnPYm/+2yF3t5efPzjH+f/3/GOd5xVvZVoNrzRnUwm2ZV4amoq5CIBBC+u9LJ34sQJ/oFMJpNsSNL82UcffZSNqWw2i61btwJYMYjHx8f5JTOXy7Gx1NPTw8d4+OGHAQTpsSg1VrFY5Jc56Qb9tKc9DUAQ2ZvqQi9t1WqVX2JHRkZw/fXXAwhe1r773e/yMehcaL96vc4u1W9961sBAD/5yU/4AfLP//zP+NrXvsZ1mJiYCP2VSNcVGZVdRhEmA/7mm2/meeNHjx4FELi/k4vOfffdx3W47LLLAAC33XYbl5vP5znSOZUzMTHBRvW+fftCAxFkFNML+6ZNmzj114tf/GIepKDUYlHnNTMzw9dGbusOekjkAItMSUbXAFh5iEels5Mp5OhFfHp6umX6O1+Udmm80f05MjKC8fFxvhYbAem2LA0NadRIo6iVESXxGWFElLEmU3e57uju/nKOshsF3BjDRmg2m+XnTTKZbJjiIiOdLy0t8fNMGuVUl3K5zPdRpVLh9pCRsMndWbqX03oZF0DONZdTa+jZms/nQ88mOgf6u7CwwOVns9lQBHWCvvf09PA1TaVSbOxLo1u6ktM9T8ePx+M8EGWtjZx3TtA5Slf1qEEYN+p6rVYLuazLueS+e1WW7zOWOzGgqfxEIgFjTOj5oigbgfWaWqUo55v3v//9AFZSzQLBO9yHPvShNT/Wz372swZj+RnPeIZ3W/ptPBuXeMpKREIXTaUFgvN9wxvesOqyH++oe7miKIqiKIqiKIqirBMbXumuVqusROzYscMbWICUX5mbu1qtNgT+kpTLZa/qKN2RSaXyBevau3cvK0dukC9CusPfc889kXU5fvw4b3vdddfhhS98IYCVIAvZbJZHpLZv3443v/nNAFbcob/5zW/ixhtvBAB8/OMf53ofP36cg5uRW/LDDz/M+z3rWc/CI488AmBF7X3a057GCv78/Dxe9rKXAQgCmpFCTUHb7r777pBKTIHSfvKTnwBYUdGAIMAbBYAgJiYm8JKXvAQA8MxnPpPb8bLLLsPzn/98ACvK0Q033MDeANdeey0HzKM6PetZz8LNN98MILheU1NTAAK3eXKXJ9fukydPspeDnI5A9fPdY8CKUre4uMgKY7Va5ZHQ8fFxDmJHqpWMFg+suPlT/WOxGLvC53K5kIswtR+1y8LCAqv1PoW/m3GjdEdFpZbBqaLycwOBOiijk7tBraKUTl+Z7jL6X7od030oVXHqZzJ6ubWWvWJKpRIr3PJZQveOPAZd91OnTnFb0b0CBO1FHg9UF6nSZjKZBmVWegWlUqlQEBl6zsko5nQfk7oty5Au6XR+wMp9vrS0xGWVSqXQsSg7BD1vT58+ze2Vz+f5OUrPpYWFBb7nZ2dneWRftr1Up1cTJFK68PvUczllQSrpvvtX5mKXXhvSzd8X4ZyWdRLVXzn3+LxoVNkNkN5C2iZKt0Lv0l/+8pd5Gb0b/+hHP4pUlQHgD//wD/n7at2y6bfZDX5GUwfJi7OTsugdFgg8Qq+99loAfoV89+7dePrTn87/077kVStdz2+88UbccMMNDWXcdtttAMDv2YofVboVRVEURVEURVEUZZ3Y8Eo3pUYCAsWPVAUZcIrm2Y2Pj3PgsEsvvZRHqEllvuCCC1jZ3L17N6uFFEBoZmaGg3U99NBDoRRRMi0ZgNAcvEQiwSNHNHd6bm6OR7VkvWSAop/+9KcAAtWTyspkMpwH+k1vehOAYOSKjnvw4EHObU3K7Ac+8AHOWz02NobXvva1AIB3vetdrKjSHI777rsPv/VbvwUgUHnp3D/72c8CCBTUO++8E0CQ6uzSSy8FAFx11VX41V/9VQBB6jYgGF178MEHAQCf/OQneR72O9/5Tr5+3/nOdwAAv/iLv8jXgUYLS6US12/Pnj34m7/5GwDB/G46Fs0tqVQq+PSnP83HJTWaRuoeeOABnjMulWpSuYHwPGupcBNRCjchUzHQPVepVELzsOUccKBRkaZtfXO3XY8Kd665jENAQdso2F63k0qlQoHS3LzPhEy5RMvlelI45dxZY0xLhVvSbB6iTPsUNafcTc1Vr9dDacNkgCwZfAwIlF2qY61WYxWYnmuVSoXr19vby+tPnjzJCjMdt1wuh1RnUtDJQ0KqwMYYHlUvlUr8vJHzy0n9npub4zrQczYej/M++XyenxsU8wFYib+Qz+dDqjup/VTm7Owsn0Mul+OYGrJdqL0qlQrXS6YSi7re7v+t8nzLdXJbqW76lPR6vd4Q6E/O7Zdz931KtkznZoxBPB4PxW5Qugv3WXE+ld1m8SsA/3NtLfdpx1tIUboJ+u36l3/5F15GAYFf9apX4WMf+xgvf+Mb3wggnF6M2LZtGwcwIw9FYOVd/Fd+5Vfwla98BcCKMgyAVeharRZa/va3vx1A8G7n/s7k8/lQqmH6Tso77QsE71dUrlxOcZb+6I/+CHv27Gmor/TGJUZHR7k95LxxDb7WHhve6C4UCvxAn5qa4hccGfhL/jg0CxwmXbzlzUQGcSqVYkMYCLuXSoPNZWlpiY0tmROcXkhlrlpptBOpVIpdsm+66SZ2jSYjr1Qqhdw/qAP/4z/+I4AgH/i9994LAPjwhz/MHennP/85v4i/8pWvBAA8+clPZvfx733ve2wskJv597//ffzDP/wDgMAQJhec+++/H7//+7/Py4HA2H/Pe97D7Ulu8fTwuOGGG7jdfumXfoldyWXURXL7ufTSS/HMZz4TQBDpnKKif+ITnwAA/PSnP8U3vvENAIFhS8b+F77wBQBBzkUyhi666CJ26b7uuut4G3KvueOOO/CCF7wAAPCtb32LXcKlCzHVe2BggMuih148Hg/l9qaBGnnPkbG0uLjIgyT79+/n9iYDJRaLcVA3YwwfwxgTcvMFgvtf3vcbCTdKt7XWa5RIQ5v2aeV+K8uSBrUMluVuL5Ev0L4I1zKXMxlI8lgyYFoqlQq5ktO2ZBz39vbyfVIul/k+kPnuiVKp5B1koLKstdxGlUqFjVc5DYIGcnK5HJ/P0aNHeSCTjjc4OMjPpsnJSR4wpOMeO3aMByFLpRKfo4zCT9vOzs6GoppLY5+2lTm96dlDdUokEmy8njlzhp9hMmib796Rkd99ke/bMcClKzkh7yNfADY6l2q1Goom38yQWVpaWpVbvHLuOVsjc60N9GZldWIor/Y4vkFLdS9Xuhka0JRGN70PvuQlLwm9V9HvoM/oBlbcq+U7uXTHJiFErqf36EcffTS0/Nd+7dcABAatGxjt0Ucf5Xf8sbExFlxoUIDKpHORbvAuX/ziF0Prqb70Li8judPvtbI61L1cURRFURRFURRFUdaJDa90uwozuU6SQjozM8OujnL96Ogoj27JoDlS4SGX67vvvhtAoLpQuqtDhw5xWbVaLaR8AoErp1SsCKmAkvvK3r17QymBgCBYEKlJ8/Pz+OM//mMAwSgbKZ80Evf617+eR9327dvHI2nkEn7rrbdycLNSqcQBzer1Oiv3dKxbbrkFv/7rv95QV6rX5s2bWUk7cOAA5w58xzvewSOA5LIdj8dD14cUY8rt/dnPfpbXX3LJJex+/ru/+7sAArf+l7/85QCAH/7wh1zOwYMH2ZWcruE73/lOvO1tbwMQKPz0nbjtttvYJf0///M/eTmp3EDYu+Fb3/oWfycl25fuRwZBo+vsKlTSO4KQ+bRdl3Mg7JZLqly1Wm2aR76np4dHN4vFIsbGxlqmIOsmWimNwNkHl5KB1lwXdMCfPkzm3pZB2QjpPl6v1xvUpEqlwgrowsICq6WpVIpVWuleTs8uYCX3O6nAhUIhFGSM7pN0Os1tIpVsUsqPHTvGqjUFYJO5pGOxGB/34MGDDTmi8/k8l2uM4XuS6letVkMqMpVFda3VauwxBKxMlbDWcrnUFgMDA6H0YPS8ob/JZDLUJ6Ta7+a+ltdDXtuoNHQ+pHpNfTudTocC1rnlxuPxUJ52l3bS3dFxqX6ar7v78aUcdJefqzqshbLcrKxW6vW5PGdFORvot0cGE6Pc1r29vaHl9B5LUxulClwqlTiVWLdB74ayvs0CxAHgaanSq1KV7rNjQxvdW7duRU9PDxteZ86cYQNbzn+VL0203BdxXHL69OmQYQQEBq90QZfGPCGNMCKdTrNBRq7E4+Pj7MYNoMEtOJlMhgwmMvz37NnDL7RkHD/yyCP8YvbiF78Yv/EbvwFgxaD8yEc+wuV86EMf4jkdsVgMf/InfwIgmPNMvOIVrwAQRConV296uf693/s9dhMHVuZvj4+P4/Of/zyfLxAYG+TWft111+Hqq68GsGJwDg8Pcx7pdDrNgxBklB89ehQvfvGLAQSu01SHkZERds+mdnn961/P9Xr44Yfxgx/8AADwH//xHwCCOecU4f3AgQOcd1DOk6Rc6ffeey8fS+bGpQePMYb3k/nYfe6g0kCpVqtsYJAr0MmTJ7m9Hn30UR78oH1ktHw5gHHRRRexwUT3ztLSEke57CTaZTdAc7p9yLzwUYaT7+WQ9qvVaqFrAIQNrKiXR7ms2culjGQt50nT/SLrT9sAwcAgfaf7IpPJ8I+atZbvc3qGzc3N8bMkm82yIRuPx0O5woFgEIieFbFYrMGATyaTbIjH43E+brVa5W2lIU/9Y2Jigvej+3VxcZHrNTg4yIa9nBMuc4bTfqlUiutI8Q0OHz7Mxy8UClwvut8XFxd5io0871qtFnLPJmQUe3eZ+92HHJSVbesaFcaYhvn8wMqz080TLqcnuNdODmJo9PLuJsq4bGZ0+qaw0HJ3v1Zu3J2ymmNFHTNqYNK3n0Z5V7oV+p2Vrt30m7xz587QcvrtovdrmZf7/e9/PwtF0r1bZuZ5whOeACBs/NKyN7zhDSE3b7IXhoeHQ9HIgeC3jwz8M2fOcH2jopfT+7U8Li2r1WohF/jnPOc5AIB/+qd/amiX22+/HZ/61Kf4uIScFqpEs+bu5caYuDHmw8aYR4wxC8aYh40x7zPiiWsCPmSMOba8zXeMMU9Y67ooirI6tB8rymMD7cuK8thA+7KibGzWQ+n+YwBvAfA6APcDuBLApwHMAPjr5W3eDeBty9s8AuDDAG4xxlxmrV1sKDECVx2WOe5kVD/plkjPpt7eXlaiSPXOZrOsoJRKJVx00UUAVlybK5UKu2vOzMxw5N6ZmRnej+jr62Plp7e3l9UKGUyL6lUul3lUitxFpcK6Z88erusPf/hDDqpGSvirXvUqHmX6q7/6K1Z3r7nmGgBhFTudTrO784kTJ/CWt7wldLxbbrmFR8Ky2Sye+9znAlhRn2+88Ub86Z/+KYAgHzcFcrj++uvZNf9FL3oRgMBVh4KuXXnllTxq97znPQ8A8PKXv5zduF/60pfi9ttvBwD85m/+JteX3Knf8IY3sNK7d+9ePPGJTwSwEgGyr68P3/zmNwEEHgB//dfBrfalL30JAPDUpz6VRwBJBXchVR4I52KWrsF0LGov6a0go0PTdY7FYqyuZjIZHhmU+8kAUK53RRQPP/ywdzmNds7Pz2NkZIQ9CVbBOevHQKOXgE/ddhU/Uj5loDRSCq21IbWzmWtuK5UGaD8Xr7W2wV15aWkpFL2czlUqulL1pHtAukZT/5+cnAwFZZMZFKh/0Kg9EA68Rooy3SMzMzOhKSSUp75YLHL70zNKRiSv1WohF3kqk8rt7e3l+5ye0VKRHhoa4qBuMmgalQWsPI+kdxKdX7lcDrl2UxvJfNe+3NoSeb3ldWzmau4G3/Plb5fR02k9nYsM5Cb3XVpaanA3j8fjoXOQwfpWwTnty483VuN67W7bar9WqrbPlX01QdNaKd9RwdE6qZ9yVmhfXgcoW4x0tyaX8o9//OOh5RSlm5RsaYecOXOG38ult6G0TWiqp1ScKWDZxz72MX5/B8CK8t///d83vCMNDQ3xu8L09DR7sNF7Nr1PA8HvOE37pOBs8lxe97rXheorM8L4oPdrml4KrNgbSnPWw+h+JoCbrbX/vvz/QWPMdQCeBgSjcAD+AMBHrLU3Ly/7LQAnALwCwBfXoU6KonSG9mNFeWygfVlRHhtoX1aUDcx6GN3/BeBNxpjd1tp9xpgrADwbAE1UuADACIDv0A7W2hljzJ0AngHPQ8EYkwaQFovyQKA4FotFVlWkSkhKSiwW4+8SV5kmSI2Znp7mAFdSFaFjFItFDljmG+WV8719+VVzuRwrIPV6vSEH9MUXX4yHHnoIQDiVmfxOo2ff/va3Q/MpaA6kVI4oKNzXv/51VtX/7u/+jkfYfvu3fxtAMMJFgdo+97nPsWJ7ySWXAAjmUNOyYrHIc6q/9KUvsYJMKuz3v/99fPSjH+X2oAAUNOflxhtv5FHC66+/nvNoS0gF279/P89Nz+fzfD5/+7d/y2347ne/G0AwF5zSdNFIYU9PD89J3bt3L1+f4eFhzntO89PvvfdeVvgqlQqrgRTo7YEHHgjl66X5OnS/TE1NcZC9eDzOaqa1luetUlljY2M8gklKIZ0PEMxfp/t7cXGR63X06FG+jrR+fn4+lALqLFRuYB36MRDdl2VaJSA60BTd00tLS2saWKqZEuOmBJNeEO7+sViMR4lpmQz8ZURKsWq12nC+lUqF95OBwWh9Nptlj4rTp0/ztpOTk6E60vHpfjh06BA/82iEfmpqip+NuVyOtz116hQr6HTv12o1VgOmpqYa8ngfP36cz2t2dhZbtmwBEH4G0bbj4+PcD8rlMvcPureHhoZCy6TCDgT9gJT/bDbrTZsmr43sq9ITAmjMve1TuGV7+uZ3u9vJ8iXNUii5Crsbr+AsVG7gHP4mK6ujlRLciVJ8Nkp21PbtxLxwFXZNGbYuaF/ucsj7Mipl2Ne+9jUACM3d/vKXvwwgCEIsA/rSu90b3/hGb8ower+VKcMowJucU/7qV7+6acqwffv2hepLyn5UyjBSuGWdWgVlUwLWw+j+CwAFAHuNMTUAcQD/w1r7ueX1I8t/Tzj7nRDrXN4D4APuwlOnTsEYwy7ImzZtYhdgmZ+WGBwc5JebRCLRkBN7cXGRX262bNnSkGf11KlTbBjJ6NJRPyYyFyy5otPL5vz8PBtmqVSqoVxpMO3Zswe/8zu/AyBwe7/zzjsBAH/wB38AIOgE73rXuwAA73vf+/CXf/mXoXpcfPHFbBjKbYeHh9mIv/HGGwEEkb137doFIDBuycCmF/0HHniAX3hlXmlgxf3z61//OgDgNa95DQc3+8IXvoCrrroKwEoAuNtuu42N7qGhIQ7wRsHTstksTxO4+eab+UV0enoaF1xwAYCV/OGXX345brrpJgDAe9/7Xn7IyYBk1PYLCwtsbMjI8nfddRd/pxf9dDrNdaDBCCAcCM2NPl6v1yMD9ZERIssifIMzzfK/02CBhAyX+fn5tqKBN2E9+jEQ0ZfbDRbVKnex74UvHo97I0C3ilrtq5vrFkzl+Axwqot0oZbb9ff38/1AA2X9/f0hw4tcxshlnK4vfaf7NJVK8X5UZiwW437b39/Phiyt7+npCbnuU31rtRo/U6m+AwMD/LxaWFjgtqO+US6XQ9HLya2dBtpisf+fvS8Pk6Mquz/V6/Ts+2QjCUkIBMIWE3YXQIUIAoqsKgISlRDAIOKHoCDrB4iA8AkE+LFLEEVAEAFZwi6BECBsSUzIOjOZzEzPZHp6pqeX3x/FefutmurZJ2TgnufJM53qWm7durf6vvece16flH3Lli0OB3a34Vx5ebmcq6CgoFugkJeXJ3WvJ1/S6bTDuA2wn71uE+72kctQT7cNL+kuJd8a/QmM3b8ZPbVBytoHYai21X6Tv+jIJbPuTX49mGv1ZMo22HO5v3fDy5CwN3m7waBg+vIwoCf38tGjR4sMG8iajHGZ5EhxLyfRo2XnJO7eeOMNz2N4rzRc08cYDAzDkaf7WADfB3AigBmw15Wca1nWjwZxzisBlKh/43re3cDAYJAYjn4MmL5sYLC1YX6TDQw+HzB92cBgBGM4mO5rAPxvJpOhjOU9y7ImwJ5NuxtA3afbawBo16gaAEvhgUwm0wlAKEk9g9rU1CRsizYp03mlKQnXrGEoFBLWzJ0eB/BO/QU4c1d7Qeey1bJ2sqycUQuHww421M1ojhkzRo5ftWqVlC0SichnssRjxoyRHNTHHHMMnnzySQAQY7P58+eLNHTBggXChO+8884iRSHj/cILL+Db3/62XJeMFWe6Fi1aJOf3+/1isJZIJEQ5cPjhhwOw5S2c9dthhx1w9NFHA7ANpACb2aICoKqqCtdccw0ACJP/zjvv4IYbbgBgy9+ZM3DdunUid6f52S9/+Ut85zvfAQDcfvvtwrYzJ3lVVZXIfpYvXy5tJZFICAPHGTxtUtbZ2SlsOA0wPv74424mfhqjRo0SpjCRSIjUFsgadnDWMZFIyHNKpVLClnHbqFGjhHXTBm6bNm0SZlwzbNxWUFDQa1vtBUPej4HcfdnN9GkjD96/m7nXUmEtESbIRGYyGU8pel/yMvP4npBOpz0ZeLarvLw8R7n4vikpKZF9yGRnMhlHSjCWhds2bNgg5RkzZoww5KlUSt4tREVFhZij+Xw+YarJnpeVlTkUHTRa03XFfXV6M51LnAx+dXW1I3c32x7fCbFYTNQpBQUFsjxEp0Vj31i3bp3jeXJfvoui0ahI5bXRoaXSEvFvMpnsM+PXW15lt0TWzWy7mXJ3qrJgMCh1qI3+dLnZ5oLBoENJMci0YVv1N/mLht6k030xYeyp/twKDfe+PbHrXkZnA3lWufpGXw0mdRvvbV+DHmH68jCgp5RhoVDIIdXmb2KulGEXXWSLBrScm79t++yzj4yPdUovSrO32247z5ReBx98sKMMgD2+ePTRRwHY40gq2LxShlVUVIgiU7P2J5xwAgDb/FhL4Ckr5/jbnTJMs+WE3scgN4Yj6M4H4B7NppBl1VfDfjEcjE9fApZlFQPYG8DN/b1YVVWVBFDjx4+XgI4y83g8Lo2xqqpKgplMJtPNgbejo0MCr+bmZlnjy8CtqKhIBnvV1dUyYNWBm85bN378eAD2gJMdhq7Vra2t2GuvvQDY0g7KWig71kF4OBzGXXfdBcDulE88YXtozJgxA4AdCLMOfvazn8k6ag7CA4GADGKDwSAWLrTf1z//+c9xxRVXAMi6k5eXl+Pyyy8HYMvP2ZHogH7bbbfJOo6ioiK5RmVlJebMmQMAMriuqKiQ8DdrOAAAIABJREFU3N1PPPGEBAhnnXUWAHsN9VNPPQXAdk/897/tZUg332w3g3Xr1knw3NjYKOte9t57b3lJ0rEcAP7+978DAE4//XScdNJJAIB7770XgB0I8LpLliyRY4qKimRyQwfbzH8cj8dFIstnY6nc2xUVFRII8zx1dXXyfUFBgecEjpe8nOUBsoMR7VOQayKIwYguVzQadbhIDwBbtR+7oQNpr4DD5/N5SiJ1IN3Tmu+eBsq5rqeP1dfSA2EtNef5E4mEBNrJZFIC0i1btsi+3FZdXS2fW1paHM73gN0eGYxlMhlZjtLS0iLXY98oKiqSyYBUKiXvFObQ7uzslLYbCATkvsPhsEyGaZk1352JREL2pVOqnhDSEz4MuvWa8OrqarmHQCAg+2qXb70MiO2e7qqpVMpRLta9nqhxr93mZx30en1PeLUB95IF9z652qEOqHvzIdBLErzONUB8pn35845cbainbRq9eQHkOp/XcX0JyHtyR+9LwKWv1Vf38lzXNeg3TF8eBvTmXq4D6N7cyxmocr01AAmOa2pqxKvpoYceku9JEjY1NcmabyArYT/ooIOEdNLH8BqNjY0yvtbjZw2O273WYW/cuNGxf29+QDxOn0sH8wa5MRxB9z8AXGBZ1lrYKQ32hG3y8P8AIJPJZCzLuh7AhZZlrUA2pcFGAI8MQ3kMDAz6D9OPDQw+HzB92cDg8wHTlw0MRjCGI+g+E3Yn/xOAatid/VYAl6h9rgZQAGABgFIALwM4dCA5BJubm4VtXbt2bTcX5LFjxwpTkosp1NDMIt24yY7QuA1wGqkBWVmvZt/IugNwMOSAzepo8wK3M+GYMWNktqmhoQGnnXYaAFvuQeaDzuFTp06V3NvFxcUiFae8RM/ExWIxrFixAoDNtDHvOM3L1qxZIwz973//e2GP7rzzTgC2TPyxxx4DYDNqlKffdtttMnNHacrZZ58tEpylS5cKI0tlwR133CHmZc8995w4juu6pYy1qKhIZiOvvPJKyaHOPOEzZ87E3LlzAdhqAsrPidmzZ8uzHTdunNSJXgLwpS99SepAuzaTlaasSDOQXDYAOGf73U7SvAdej4oKn88nrJZlWXKPhDYHDIfDctyWLVvkGmwnRUVFwizOnDnTYQw3AGzVfkw5rZfBlRcGy/5p1rMvZlo9uVprs65czBIZ7UAgIKx1W1ub9C+dT1vLlvm9dvPW7uZkW+PxuLRJSsp1ztC6ujopG2VzyWRS2m9eXp68O1taWkQ5wxn48ePHS9ttaWlxGBAC9gw927Hf75d3sjaQ47ZoNOpYCsR6Zv8KBALd1AL6czKZlHeI26VcS7IJzUj31m7cbSKXgVlvcm/teO/FqgPe5lVebCDb1yAczLdqXzbov1t3T+xzxpVLvqdjvMwCvc7Zl3P1tL/7mN6WZhgMGUxf3sbB31w97uZvY319vYy/NdNN5njdunWO7ZR8X3DBBZ7u5WTFtXv5BRdcAMDpXr7PPvv0KP9esmSJ43se+6Mf/chRPsBpqmbQfwx50J3JZLbAzhP48x72yQD47af/BoVRo0ZJ4x43bpwEbDqtDgdzWupbWloqAycGWFoiGQgEpBG///77fS4Pf3y22247GdBqSaE7qOK1KB3htfQAi27igO0yfvXVVwPIBom77rqrrA+/7LLLcNVVVznO/8Mf/lDSZWUyGdx9990A7AExZfFvv/02ADuA43qNYDAokwmzZ88GAPzqV7+S87a0tEh9RqNR+bHl4HzKlCkiZQWA/fbbz1FHDCQAe7LgF7/4BYBs6q5169ZJAL9y5UqHLPzDDz8EkE2/8OKLL8p93XbbbeLszXawePFiWUujX4bV1dXdJjEsldYpmUzKC4jyG+0HoMEBeyqVksBGy7v1uhs9uaOhZciA06egra0tZ6o7wG7rDHIGGXBv9X48yDWrnnCn7gKcUt9cgXRfJZNeEwR6KYcuhw4Y2XZKS0vlebFdFBUVSV/lPvoamUxG2nRRUZEscWlvb3c4fgN2P2R7KiwslL7MiazGxsZujuesGy8XcO6bn58vUjYd3PLd2dbWJuXmfsFg0OF+zvYfDAalnlkXOk3f6NGjuy0D0vJ2PVGj35m6PbGMlmXJ9lzBtzv4cKfu6im40Guv+xIg9xZoeZVhINjaffmLjMGunR7ItYZCtj0U7uU9fWcC8aGB6cvDA6910CSkpk6dKksb+X8AQvy43csZKOtz6d/Xzwo9uZcz848bXAeuj+GyWIOBYTjcyw0MDAwMDAwMDAwMDAwMDDA88vKtivXr10sO6mg02s2opqurS1iNaDQqM1rRaFSYFX7vZhFpHERmyLIsh+mPZl7c0KYEo0aNEtabs2NbtmyR6yWTSWFZCT0ztnLlSmG76+rq8NOf/hRANt81YOfEZpk5a0U5yqJFi4T5XbhwIc4880wAwDe/+U2HCgAArr76apGnrF69WtgpSr9feuklMUc78cQT5fplZWX4yle+AiArtS8tLRVWvqGhQRhwziACWcMyn88n8pYXXngBgD0Lx2d03HHHiYHctGnT5Dk8//zzAIAHH3xQjNxuueUWuceDDjpI7pVS9+nTp4tkPJ1Oi8GUlpZqporPklJWPWuvWW/tPKxzbvNZakku5e+bNm0SNjyRSDjMpFgmPpuioiK5RiqVkvap2zw/52Ljt1VoOS//eslxtYyb33d2djpMtHg+Let1u0P3Vo6+7Evo83d1dUk78XJdz8vLE3VJVVWVKEE0o63bozuzQiwWk/fG2LFjRVGRSqWkr7Au0um0mKq5c4kD9nuJrHlFRYXjHtjmeA+RSEQUH8FgUOqW8nP3fbP/6HKzbZaXl8v7LJ1OyzV439qIMBgMirkg3/OxWEwUQ7puQ6GQ9LFcRmqE26Heax833N/1xIpr6LapVRReSxJYbs2acynEcKhBDAaPvrDA7n3c3/XGBA/Uvbw/23vCYN3LvcptjNUMthUwQ4ZmdPk73djY6JB8UzHJ5aFu9/Kzzz4bAGTpJZBdVqqP10w4FZ2hUAjHHntst+POPvtsx3bAHjOwDKlUqtsYyM3a9+Refvzxxzsk5PytZUYhLT0/9thjxcBNKzk5bjfoGYbpNjAwMDAwMDAwMDAwMDAYJox4prugoABr1qyR/7uNcNLptMxYAVkWVueoJSZMmCCmVePHj5fvdSopDc0kkg3n9cPhsKx3rqurk7WNuc7lhs7hPXXqVFnDvGHDBmFs//GPfwCwmZRXX30VgM3Knn/++QCy7Nnbb78t5XriiSfEIE7P0N14440AgGeeeUZmuW677TZh6Gnk1tTUJIz1ddddJ7Nmu+66q5i5ce12TU2NrNNeu3YtZs2aBSA7e/a3v/1NZt+mTJki6/F1egY+x0gkIsz6N77xDWH5NfvD2bcNGzbglVdeAQBcf/31AGzDNa5p0em6dGo2zhSWlJTIsy8vL5d1L1xvn0qlhIHs6OgQtpHsu2ae9VpaILvGlanjNMaNGyf5vcnYFRQUSFvQpm8avH5hYaHcw4YNG/pt5rMtQDP5vUHnZ+4txVNv9aCZT6/1jZqVdOcE1/v5fD7HGmK9HXCu6a6trRV/AZoXlpWVyfP2+XzSh3nMxo0b5bxlZWXS5rT5INN9hcNhua/NmzdLmyW7bVmWzFR3dXWJAqW4uFjMYLQBHA37dIrEHXbYQc5F1UokEpHj+W5Op9Nyjx0dHWIy6fP5hEHnO7SlpUXut6SkRMrId1FnZ6f0D73GPZFISN3oNJBe6K196d8RL8O93qAZeF7LsizHunUv9pJtyV0+w3Jvu+hPmq/+fNcbg54r1VhvqcSGI2WY1znc34203yKDLx60+RjXap9zzjkOppsMcq6UYb/73e8AdM9tTTz55JMAsnm+AQg7nkgkHCnDmL7XC4WFhZg2bZr8n7/7VLi6Wfvly5c7vgeyBmmLFi2SVGe6PBx/uNen//GPfwQAvPfee7L9a1/7Ws6yGmQx4oNuwJZZAvagzD04CYfDjqCHaG5uFkkJB5M6eNeGZzx/MBh0uE/r4I3BEhEMBqXBaik5pZKWZUkwt2rVqm6mT1qKvHz5chnE6g654447AgDmzZsnA1YAuOiiiwAARx55JABbosIJgD322MMhCeE5eP0DDzxQ3M//85//SB1Rvr548WIJfidOnCgD6UsvvVReTBx8P/DAA3jxxRcB2HW7aNEiANmg/JxzzpGg+7jjjpNc4dqBfpdddpE6YoDxyCOPiNv6GWecAQD4yle+InnLOzs7RdZO2f7EiRNF2l9RUSHPIxKJyEQLXZ9ra2tF1rNp0yYJwPlS0+2soKCgW+7fyspKCeZDoZBIbTs6OuS6zP3t8/mkremXNwPp1tZWCXBKSkrkOekgiM8zEAhIO9lpp51QX1/fbWJpWwUHagzyestnDAw+EMklMXbD5/P16Kru9/ulDWjDMa9czclk0iEhdpuIFRYWyuctW7Z0M0crLS2VQFIbqbW2torUWwf4bCPRaFSCUwbfnZ2dEvxWVVXJO6S+vl7eF9xWUFAg100mk/KZfXLz5s3yzKqrq0U2z+BX10VLS4scFwgE5P3MNl9eXi73Eg6HZaKSpoKhUMjx7Piu1AN7/g2FQg6puVt2nisY8Hp2+rN7ooXbemonmUzGMVHb26SQe9LGBN4jB/0JMnPt21v76O38XscPl3u51zWMeZqBQXdwzKuDX0rH3e7lJKBuuOGGbu7l8+fPd4wZCZqUuicQNJnldYxXeXJJ5RlsewXwBj3DyMsNDAwMDAwMDAwMDAwMDIYJI57pDgQCjvzbZAU1u02WKBKJCAMZDAaFOaHsePny5cJQJJNJYTu98ntr07WxY8fKuchkdHV1CevIcgJOibCWkHNWatWqVQBs47LVq1cDAGbMmCFGZocddhgeeeQRAFkzrrffflty/73zzjsi86CUedy4cVIHs2fPFkn4XnvtJUw2GfhYLCafgawKgDLxxsZGYaQ++eQTMUTSKbB43UAgIPLTcDiMo48+GoDNprvroqWlRWbXqDjIz8+XzzSaIMh+3XfffQDsmTiaRt1xxx0iPycLXFhYKOyZfnZ+v1+YP95DYWGhQ3bOGXydk5usnjaQIvSxWgGRl5cnx3G2k/VE8Dmx3KFQSNqyl2KD9wDA0d685OvbMnTu6cFAS7s1q+l+Rslk0sEc6s9uBqe39FLatE0bmmkjLH7v9/uF/aUSBsgywlpu3dXVJX2R5ywqKpJ2HggEpC+OHTtW9uE7cOPGjcJUFxcXd8utrY3W3HnLeQ7WW1tbm/SfdDotrDmP0e10y5Ytcl2qhFKplJwznU476oj1y+M3btwo1x07dqzUkzYc5L5+v1/OFY/HHXUOdG8HbvSFjeypbfB+hgNDmTbMYOujP0xvT0tatoYseyDX6gtD7z6/gcG2DG0yxjHnhAkTJA0YAFFUMnWY24CMTPU+++wj2/k7/VmCylp9j1/96lcBZOMON3qTyhv0HyM+6G5paRGpbiwWk8EJB2WRSEQ+x2IxWbfY3NwsAbKWies8yV45tb2gg3KWpb29XZy/0+m0OGDr/LYMkrq6uro1+uXLl0sAsnTpUsmNN378eBx66KEAsmtO2tvbcd5558lnBmEMIhcvXozFixcDsNdOX3rppQDs9RgM/LfffnsAwLPPPitrry+++GLJH37UUUdJ2XTwyTp88skn8fHHHwOASEsnTZok59UTA1xbMnr0aNl3//33lwE8g459990Xu+66KwD7uTAgnTFjhkwW8L5ZpwTrhjLWM888U1zXd9ttN1l/Hg6HHXJ7AN3+74Zerwl0z8lbWlrqWBOr5eUEg5bOzk7H8W4H6kQiIft2dXXJRFBdXZ3I3Rnk66C+oqICzc3Ngw5iPytEIpFuUmHAuT5WL8nQEmPux/YQCASGtR50UA1k2wMDR7/f75CR60CVgSyXZAQCAWmzlmVJm9fOpHotO9tGKBTq5q4/duxY+b6jo0PebeyTyWRSguP29nbZd8qUKTJZxLKWlpZK8FtfXy/vUfb/QCAg348ZM0bui5ORqVRKlm/k5eU57ofH8b2SSCTkvMlkUoJ1PUlBWb2WumtpP59Bf577UK875fPQuc69zh8MBqU+9MRIT1J1g20Lvbl49+Ze3tN59Pb+5L4eSvfyXMf31b1c72vWdhtsa+Bvrg6gOVZPJBKObESTJk0CAFku6V4LzWWdOp814wIgG+hqMJA/9dRTHTJwjvceffRRz2w0Xn2J4369DruiokIm9rXsnL+pvbmXu+EVeOvA3CA3jLzcwMDAwMDAwMDAwMDAwGCYMKKZbpoKaamue+ZVS26BLNuYSCQcZlkEmcaOjg6Z6dJ5YLlvRUWFMIxjxowRqTSZHZ1LVoNyTs1sT548WWaxOHOlDRJisZgw1ffee68wQmR5586di3//+98AgI8//lhmrMgs3XnnnTLL9dRTT4mz95IlS6SMCxcuBGAzUjQva2pqwlVXXQUgm7P89ddfFzO3yspKvP322wDsGTpKvln26667DmeddRYAm42lfPzcc88FYJvC8fqRSEQM3GjeAEByfx922GEi2/nkk09wxRVXOO7xkEMOkXusqqrCtddeC8B2YweAa6+9FvPmzQMAMY8CnPJyPoNIJCKM0+jRox2znDyGM4SaXaNsvbOzUwzmvJYmAFkWbNSoUdLmmpqahGEkwxmLxRzGV2TuampqHIoDwMm491Wlsa3ArR6guV1PYF1o1lvLcL0MzQjNavr9/j7Ld/Xz5jWTyaTDCE5nMOD3fDaJREJm1Ts7O6UMVJxUV1dLO9KqFZ5/48aNct/hcFjabDQalXbC9hSLxRxu3pS4se2tWbNGrmtZlrzvNmzYIO9NytvT6bS0qbq6OrlHStaqqqocy0WoFqHKKB6PC/tdUFAgs/GhUEjqgOWvrq52PBu+U8lux+Nxue9wOCzn7ejo6KY6AbyNzrxYt96kve426nUdLwWMVx5uy7KkXG7Zv8HIQ39Mzfr6XV8ZaffxPTHKudQcA3Ev7+0cveW1NzDYVsBxl86FTXn4dddd58nikjF2G5CR+c4lyeZxmnGmcvOGG26QLDyAzXADwC233OJwCuc5tYM6mW2OV93jVpZTM+mUmk+bNq1bvnEgy9C7pfKMMfS9a9m6QW4YptvAwMDAwMDAwMDAwMDAYJgwopnuaDTazSDJPZtaUFAgawKbmpqEsdWpmjgzW1NTI99PmDBBTLzIwDQ3NwuzunnzZlmPTLMxjfHjxwtb19TUJEyaZrjJdOjc3XpdMlFaWopDDjkEgL1egwznd77zHQA2y8T11ICd6gvIpvvx+/3CDD3zzDOSsovsNgC89NJLAOy118wjeNlllwnrTRZs1113xS233ALAnl3jrNy7774r6bnI5h9xxBG44IILANisGvOKv/HGGwCAvffeW65/5ZVX4pRTTgEASR1WUFCAww8/HID9DN58803Zn8+JbP+LL74o7LM2zKOh2KRJk4RB1OqHTZs2CSPJ56nXWa9bt86Rf5jH8/qaIWV9x+NxYdPz8/OFeQwGg908B9auXdsrA8Drtra2OlI1kblkfWtDr1gsBr/f303psa0inU4jEAh0M8LqCzKZTL+NpgZqUuVlvqbfQZZlSdvhNSKRiKMN8HkGAgGHOgOw2zzZ0EAg4GB0AacyIx6Py7uro6NDGFP2A52iKhqNCkNOpj0vL89h8Mg23dTUJKy1vkeWNRQKySw6mfjW1laH8kC3Sb0fYLd9MgvJZFLOy3rJy8uT4woLC2Vf9hnLsqTciUTCYWrIOtfr2zX77OUT4IW+pBHzMtzriUF3G7L1td0NJE+4wWeLofAHGGjKsMFcNxdr3p9j+7JG3cDgiwquBdeMM1nqaDTqULny9/u9997rljIsF3h8f1KGtbW1dcs3DgDf/e53AeRen27Qf4zooJtBEgeRRUVF0lg4SG1ra5PvCwoKZEAciUS6GVE1NjbKAG7NmjUyCNSSRe1M3VMOZC1hBiCmaiyLNnpKp9NiXKBzhetr8vjXX3/d4cAO2BMElKesXLlSAnS6Kx5yyCFy3lNPPRUPP/wwALvz896+9KUvybUou4/H4xLoPvfccwDsvN40KaupqcH3vvc9AHagTyk1A73nn39e3IsnTZokQSnrtbS0VAaejz/+uDihz5w5U+qCgbkOuEOhkEwCMOg/88wz5Zk/9dRTEpjQgbKsrEwk2+PGjZPBQENDgwSyDFry8vLkeTQ1NYm8tTew7WhpdC7HcQ0tb+fAmu0EcBrX6e1s617Gb/2RTG8r8JIGDxQ6t7b+zOBvKIzVeE4tL9fu5fybyWTk3lKplOxbUVEh8m2di519ORwOS5tlGwmHw/LeKC8vl0B5zJgxcm86N7aW2PN79sNwOCzy8pKSErlWWVmZXIP3EAqFJPidPHmytC2+gzdv3ixl4fmA7PKPrq4umQzo7OyU/ptMJmW71wRBYWGh1DPrqr293TExwbLq58y+HA6Hh8UReigDHr1kQR+vJ3OGsm8YDC36Elj2ZDimv8tkMj2arvWnPEMp59bndJe3p+v2lh/cwGBbAMe8WgZOUmPMmDH4y1/+Its5ruYxbgMyGgXroJfjyd6wxx57yPgayJJducBx+7hx48TcNBdYbq974fjejd6k8gb9h5GXGxgYGBgYGBgYGBgYGBgME0Y00+1mmltaWoQRINMRiUSEJW5qahIGZvPmzd2kt+FwWNjWlStXCgPqNWM8duxYh0kWmSheKxKJSPlSqZQjJzdgy8/JggYCgW4M9/jx44WxWrlypdzXvHnz5Li5c+fKfTN398yZM0W+/cEHHwAALr/8cpm1+/DDD3HCCScAAK666iphv8hIlZeX41vf+hYA4E9/+pOk7KLku62tTZiphoYGYbrmzp0rBmic1Z4+fbrIZmtqamSGjHX8ta99TVj7n/70pyKX//DDD+WazFV++umnC2teVlYm56B8Hcg+87KyMikLJTmjR48W9YGW0WiQMevo6HA8D85oatMrL/MjbSSVC2x/epmDTiXGe+Tzqqurk+etWVSfzyeMOs2stOnapk2bEAwGR2zKsFAo1E1Oq5lMytEBp4yacKfx6slUbSjANp9Op7spDDQbC2TZ9lgsJmXUxnl8roFAoJs0WR8TDAaFIdema2xjfr9fzptMJuUzme4tW7ZI/6yqqpLjKyoqZF9ea9KkSXKP8XhcVCXaqI0SucrKSjkX+7dO21ZeXu54NrwH9p/Ozk6HsSRn+9n229ra5N2q6zudTndj6HOZlG3N9EVeigfLshyKBL0Ugfv2xUzQ4LNHf9J4eR2T6zsvmbYXE54Lg00ZlovRHsi59L7GUM1gWwN/z3Q+bjLYhx9+uJj48v9AVlHmThnG8ZgXTjjhBMyePRuAM6UXr5VKpYR9BrJju1zs8ve//335zN8Olkubn02dOlWWV3rdy5w5cxwMO8f4NFRzw6QMGzhGdNA9ZswYJBIJGdglk0lH0AzYg676+noA9kuf+1ZUVEjQrQd9PA7I/jhwYNrQ0CDBaUNDgwymCgoKROLr5Ro9ZswYGThy4OmWn1PqzoGn+3sOJv/85z9Lud5//30A9rrmBQsWAAAWLFiAo48+GkBWOvLmm29KJ7r66qtFXv7YY49Juc4//3wAwH777Sc/josXL5Y10VzD+corr+COO+4AYAenDBjfeOMN6cw77rgjAOCBBx7A/vvvD8DpXswg8uKLL5Yg6P3335dOqzs6g/2PP/4Yd999NwB70H3nnXcCsAN7ALj00kvlxVleXi75BfXa0T333BNuTJw4UdzvWZbJkydLO6mqqpI2ofPush2UlpbKs+F+EydOlPrq6upyLCNgsM0X4/bbby/r8cvLy3O6nQN28M/Jm3g8LmWgEzQAhxv1SAq4LctyrL/1yknphs7Z7V732pc12+48yr2VD3A6VPOaqVTKsXaZ5+X7QV8jk8lIn+no6JB3EM81fvx4Wc7Q2Ngo7wWes66uTt5XxcXF0pf0e4dlLSoqknosLi6WIE5ncOAP8YYNG2TCprS0VMrA91EgEJD3aGtrq5SBk0NVVVVyLT2JxPJ1dHQ46pvtNJlMSr/VGQFY1pKSEpkkY1/Wru8+n0/Oq4NX1oHOkZ5KpXpc092Xdbhe66u1a7NextBTrvBAIOA5IeC1HGUkT5590ZBLTj0Yd/Nc5xpIENsX9/KBltW4lxuMdOiAlNh3330d2xks53IvJ+mlg1AG1Q888AB23313AM7AlWP1u+++21PKPX/+/G5rutetW+dwW2e56BGlz1NYWOgZdPOYzs5OT/dyr5zio0ePxumnnw4AkskIQI9rxg2yMPJyAwMDAwMDAwMDAwMDA4Nhwohmur1cwzVTDXR3lKXZAFkbIMvmRCIRkUWOHz8eK1asAOA0r9KScTI0Xg7RkUhE2BqvclZVVQnbM3r0aEeucUKzKmROv/e974k5GKXsNB4jmCN6xowZAGw5N+vlxhtvlHvv6OgQZpV5rZ988knMmTMHgJ3fmzNhnJ1ra2tzSGUpSSELDUCY24KCAodEkkzzyy+/DAA48MADhV27+OKLJX83jShWrlwp7uQNDQ3C/nd1dckzO+200wDYRhC8ViwWw9NPPw0g614OwCHbIdavXy/1SKZOu8m3tLQ4jN8A+3mwDuPxuLQPMm6NjY2OWX3eY3t7u5hBsfzadb6pqUmYQzJeWlLd0NAgn8eOHSts/OTJkwHYDCRZ3dbWVpSUlMjs5rYOyia98m335die2JtcDEt/r+E+hp/z8vIcDCdZUG3MR2VDIBCQdhKJRETGTUl4KBQShly7dFOREo/HpZ1rhj2dTgv7zG0bN26U865evVrqVrdHljGVSkk7WrdunbC07BtdXV3CtiaTSXkHsJ3W1dXJuUaNGiXLTnjfWo2QSqWk//h8PlES8X2qFQKhUEhURGS69TNIJpNS94lEoltubK1M0OwzoZmMPolRAAAgAElEQVS9vjBxXssTvI7rTT2hmetcpod89oblHjnoTW7dW354jcEyzoN1PO+PlF2fw7iXG4xUaMl3byZmA8WSJUsAeDPhQwGq3vQ599lnnx7l37ncy+larpWHRUVFMq7MtVTTIDcM021gYGBgYGBgYGBgYGBgMEwY0Ux3WVkZMpmMgwngekKaX9XW1jpYKL2+m4yKZp7IQNKEDHAyDTpvrV6TRxZUr7klsxMIBIQt5Tadhkqz3DvttJPcB1n1lpYWmXE68MADZfZ4hx12AGCvC6aZw4477igzdGT1r7rqKkybNg0A5C8A/P3vf5cZrR/+8IcAgHvuuUfqaP/998crr7wCIMua77LLLsLOkv0GgC9/+cvC7uy2224A7OfDdSLNzc3CErHek8mkXP/cc8+VOmQdfP3rX5fnuGTJEmHE8vPzhe370Y9+BAB45JFHpI7feustnHzyyfIcADv9mJ7NJ8OYTqe7mdzpMnZ1dck5NGtPVk6bl7Ht6dRJwWDQ0U7Yvnh8V1eXpIjauHGj1AefXUNDg4Nd47X02m/NzGumeKSw3IR7nSzvxYuJ1AoW/Z3exuO98ifr9b+DhV7DDKBb3mmfz+dgMslIl5eXy7uH7TE/P1/WcRcWFsrz5rlqamrkvoqKihwpvQgapQUCAanTkpISKSfZ73A47DCcZBmKi4ulbtgn8/PzxUOgqKjIsS9gs+M8pqOjQ8rIdW/JZFJUHtFo1MFuu43UNm3aJOUqLy+Xa7EsqVRKGPZwOOxQmrjX9GsVhDtNo95vKOA+l15r7rUvn52Xf4Fm5UOhULffOYNtBwNJGZbrmP6kt+uL0ZnXMQNRBQ20vCZlmMFIAhWlGrW1tQ6DNY6Fma7LbUDG8Zhmmr1Ull5wr6GmkVpNTY2DhQfs34j+pBejsZpXH8/FglPB6l5nzmu5y2TQO4Yl6LYsayyAqwDMBpAPYCWAUzKZzJuffm8B+B2AOQBKAbwC4PRMJrOiP9dxu5dHIhFpUNpcig0kGo06ZJoczDE4aW9vd+RG5b783u/3O3LzanhJzBk41dbWdhtYVVZWSoNds2aNDKi0HJqGZC0tLXL+Rx55RPZhp/7jH/+It99+GwCwYsUKcTTkIPmiiy6S8h544IHiDh6JRESKQlO2J554Au+99x4A22mR0njW9aRJkySQDgaD8lL43e9+h9///vcAsnkAq6qqMHHiRAD2y4Pl4X1deOGFMvCcN2+eBAt88TQ1NYk7+a9//Wt5yb399tv45je/CSCbJ/ill16SgPX111+XwJ/l32WXXRzBEYOZxsZG2Zdy7Y0bNzoGuLwHPoNoNOoIpHleHajrz0QoFJJ2oI/XEh0GRHr5gwavxQAGyAaX0Wh0SHNzb61+7AXtdk1okzKdgxrobnCVSqUcddEfCfFAwEFlIBCQz+xzPp9P2lsqlZIgMZFIyHYGzRUVFVJundua99fa2uqQUOv2xPrSMnL2Dy5bALIBfH5+vtRna2urvOfGjh0r7z5OCI4ZM0bK2tbW1s0sbuzYsdI2db5Qtu1UKiUBeEVFhdyvrgM+u1Ao5Oir7BOs11gs5jDRI3S+dNaFe+nBcJo55QpovILuYDAo9+D3+2USjtv070tfTAX7ULbPrC9/3tFTENuXY/piXtZX2XpfjumrE3pv+bjd5+ppW0/bDfoH05eHHgy2ddtmQHvNNdc4gvFJkyYBAF544QUAEFMxALj55ptlWao2StM5u+fPn+/4q/H444879uXv5IIFC7r9DowePdoRdOvfdV1+wA76acSmJwNYhj/84Q+e5clljva73/0OgDN70MKFCz33NXBiyOXllmWVwe7kXbBfCjsD+AUAHSGfB+AsAD8DsDeAGICnLMvKG+ryGBgY9B+mHxsYfD5g+rKBwecDpi8bGIxsDAfT/SsA6zKZzClq22p++HQW7ucALstkMo9+uu0kAPUAjgLQ5+mSyspKRKNRYQW0/JfMTltbm0Nmqz97pWfRDINbnpuXl+cwVSPLa1mWSCOZZ3ndunVyfFlZmcxCkfWoq6sTZlWDcupNmzY5TLbIHtMgDMiy+XvttRfuuusu2U7WmozTsmXL5LunnnpKclAfe+yxImU96qijANis0vXXXw8AuOuuu4R5YRqEgw46yJG64P777wdgpzJ74oknAGSZ4T322AMXX3wxAJs9JntG9ktL1W+66SZhul988UU5/8033yzH/Otf/wJgS3iYX5AM4J133ins1ne/+11ceOGFALIpDSKRCH72s5/JecmKA8C7774LNyhxX716tbB9bFMVFRXCTG3evFlmIMn6pVIpYe+0SVIkEpF9yWBGo1G5h6lTp4qKgUx2SUmJ3Fd9fb3Ieb0k8bwekJW25spT3AdstX4M2M9R15VmubUBlxeT7/f7PaW3Q8moaPNAd2ocbSyWyWQcS1D4l9vC4bC0E83msl20t7eLoiIWi8nz1HmveV4t7dq4caO0SbbTeDzuSEHI47icoba2Vt5R48aNkzKsWbNGlr+wrHl5edJPmpqapB3usssush9n2P1+fzfZeyaTkXdfMpkUhY3f7xcmm8ePGjVK5OelpaVioMYyaaaddcprsL33haVzfzdY6HNpVQuh2W13e/X6LXIvrxhEjvmt2pcNumOw7WwgknAvuFn1gci/9TEDSXVmMCiYvryVUVtb6ym/JmOslYrxeFwYbp2aS7POPJdmkTm+f+ihhxzH8RpeKcMymUyPKcP0+SsqKnpcbvjQQw85zsXyXHTRRd3OVV1dLWpUXSYvptygO4Yj6D4C9qzaQwC+CmADgD9lMpnbPv1+ewCjAPybB2QymRbLsv4DYF/046UQi8WQTCYlcKyrq5PvdFCl88NysBiLxbrJQGtqamRQVFhY2M1R3D3g1xJ2QsvDiUQi0U0KD8AxMGUwz/XAeXl5Dqnx5ZdfDsBel8H15pS50M0csIP+Aw88EADw85//XMpJufI999wjOfgymYzUGd3NGxsbZZD7zjvvyHnPOOMMAPY6bwbtmzZtEmn2b37zG5lw4L22tbWJvLujo0MmHtj5FyxYIBMETz75JHbddVe5d8AOSJnn+/XXX8ezzz4r5dGydQBYunSpDMpHjRolEwD6HmbNmiWfOTgPhUIS7Ov2o58j2wnblG5bkUikW/7xvLw8CXY0Wlpa5JkysIpEIo6lBWwTPF6fx+/3S6A2ZswYaX8MUJqamqSNdnZ2SjAyQGy1fgxk11h7Df56CzaGUlKfCzo3t3s9cCAQkKCb+cb190A2MNTu5TU1NRIg8x1WXl4u7yggu9abk3Haodvn88lnvT5b5+PWgZ87v/jYsWOlL27cuBH77bcfAGDVqlXSB1m+zZs3y/1MmjRJ2im/r62tlX6hl87ozACcSNITE7FYzOE+DtjvD95XYWGhI685YLdt3SZ434lEopvE3rIsCfxTqZTnJJRemjAYCaxuG16S8FxrsvVxGqyjXN/3A1u1L3+RMRD38oFiIO7l/T1/f2TrPeUPN2u6hwymLw8D+HuxNdzLhxte7uXHHHOMxBB6AkDHDl6gV9Rtt90m2x599NEhK+sXEcPhXj4JwOkAVgA4BMDNAP5oWdaPPv1+1Kd/3YtW69V3DliWFbYsq5j/ABR57WdgYDBkGPJ+DJi+bGDwGcD8JhsYfD5g+rKBwQjGcDDdPgBvZjKZX3/6/7cty5oOe33J3bkP6xHnA7jIvZHMBxnKQCAgDA2l1U1NTcLKNDQ09OhUvWnTJpmd1dJvslQdHR3CPMViMWE4g8GgHEdmMhc7QVbV5/PJNTQD4mXQBWQZ2x133FGMG8iYlZWViflZR0eH1AcN03bbbTdxXDz55JNFet3W1uZgqgBbLn7rrbcCsPN7k6maN28eAOD888/HoYceCsCWsZDVvvXWW8XA7Te/+Q0A4IADDsC9994LwGa/WDfMw/3888/L/c2dOxe33347gKypxRlnnCGM8BFHHCEGE36/X+TlZ599NgDgvvvuk3PNnz8fJ554olwXsGcweS+77babyNoTiYSD4QZsBpDu4Pn5+cJgU5bb2NgodR+LxRx5hQGnFLmwsFDaQXt7uygZyL65WTsyAlQNNDU1CXNJCTZgM5O63RKcnW1paRksuzAc/RjI0ZcBp+lVIBCQe9XGYbwnzUq65d36L48bKmmjV5/Wpm6Wyq3NMoVCIYfxGNvkqFGj5B1CpjsYDGLKlClyHCXXRGVlpYMdJ6PqllwDtpqC7HJDQ4O8Z9gPOjs75b1QX18v+06aNEn6BMual5cn/a+1tVXeTXxGpaWl8u6trKwU9QXfl4FAQD63t7c7ZNasA76bW1tb5V4sy5IyaBNB9om8vDxHfnK2FdaLlrXzfLrcyWTS8f1g2om7bWj1A+BUZOilFOl02rP9avM9r/P3A1vtN/mLiN4My/ry3WANzXLJzwdi8tZbGfpTRq99jMx8UDB9eRjAsZ2Xe3lbW5vDFI3qSv5e6u+mTp2Kgw8+GAAcjuccl/3hD3+Q31wtx6a7+dSpU8VlHMgqyQ4++GCHwRpBGTiQNVLLBWY78irX8uXLPcvDe9MS+kQiIapUjUEqK78wGI6guxbAB65tHwI4+tPPjHBqPt0X6v9Lc5zzSgB/UP8vArA+EokgPz9fAj+fz+cpASYikYgMYEpLS6XTcLDX0NDgWIOoHaIB+0dDr73zSiVFlJWVySCpoKBAGi2l25SLAsD06dPlezp7x2IxRwDFzrdkyRJZ83HEEUcAAE455RQJOsvLy/HjH/8YQLZD7bzzzrLOIxqNyovl6quvFhk114pXV1fL4PaAAw6QcnE955VXXinB8uTJkzF+/HgA9rpxStj1unNKVh966CH5TJl3KpUS+fl///tfTJ8+HYC9/hQAZs6ciccee0zqaNGiRQCAjz/+WF4wrJdTTjkFixcvljo47rjjAGQl9p2dnbImnDIbN/hS0y/eSCQiz5xl5fkIBjOUjuuUYV7tEMjtSMztOiWYvo6eoHE76ANOHwKv7/uB4ejHQI6+DNiBiA6k+1N+r4CkJ9nwQANxfZxe2833SigU6rbmWwflyWRS+pcOPtmeSktLpQ0kk0l5T/BdtN1220n7qqqqkrappeT88dOTFFOmTJEycICxfv16uX5ZWRm23357APYkjp7gIvi5oaFBUg8y4A2FQvJuKy8v7zZZsGXLFnFSLyoqkrKGQiGZPNLuq6yj0tJSCdZ5/a6uLln6o1O/ZTIZ2UdPlHo950H2DU/oyTZ9Tb2en8+jo6ND9tdrvfmM9FKSIcBW+00eXDE//+hL4NnTOuv+Bvj9DbCHYv/e7rEvAbpBTpi+PIyYNWuWTDjPmTMHAPDb3/7WEdwyTS3H1zronj59ungo6eBWH88sPDpI5e/pZZddhssuu6xbuby2AdnYY+nSpSIV55hBl0tL5fX6bH6eMWNGt3XbQFZ+7k5NtmDBgm5lyZV2zMCJ4ZCXvwJgR9e2qQDWfPp5NewXw8H88lNJy94AXoMHMplMZyaTaeU/AN0XzBoYGAwlhrwfA6YvGxh8BjC/yQYGnw+YvmxgMIIxHEz3dQBetSzr1wD+AmAvAD/59B8ymUzGsqzrAVxoWdYK2C+JSwFsBPBIfy7U3t6O9vZ2YUo0e0ijrQ0bNgg7qBnpTZs2OWS5hD4HmRsvBAIBT7aEs7iNjY3yubm52ZGXltcntLv4f/7zH8/rkQk75JBDxFHwmWeekXOSIRk/fjwefvhhAJBc1g8//LDMrn3yySdyrsMOOwx//OMfAWTlI7FYTKQl77//Pr797W8DyDJtTz/9tJT3mWeewS9+8QsAdt3edNNNUgbAZtWvueYaALZcn/VPpvuss86S8x59NCdqgW9961sAgFdffVWMLf7zn/9IHe69994icT/ggAMA2Iw3FQ9lZWUys/iPf/xDyq8lMXQnX7NmDXbffXcAWSfG0tJSkcJ3dHTIrB9ZdcuysHr1ajkvpbQ0cisvL5c2p2W1nZ2dsrxAO9NTWhwOh4W55DGFhYWyraWlRWZHtYM0tyUSCWEO2tra4Pf7PQ3d+oit1o8JtyEa+4+W73uZiIVCIcd27teTbHigDIuX828qlRI5tJf5kM/nk3Jpg8QJEyYII8w2FA6HHW7VbC9kcBOJhByv5eR+v1/aqa4vtq2mpiapD8qWdS50XcbCwkJZ+sJrFRQUSP8qLCyUa2slh87DzfZL1qC0tFTOlclkpO36/f5u8nGfz+dQsrANk+FPp9NyD3r5RyAQkLqjMaVlWQ7FQ0/LEPoLPhPNUmvTTve5u7q6PKXuWjWjlR48v2bzB4it3pe/CBiITLsvz3FbMh3ryRRtsLnFDQYE05eHEVRLuqFNycgaczzodu3m+DlXjmv+nrkZcgB4+eWXHbmvuc+iRYvEwIyxzVlnnSXjg+22204+c5z83nvvye/zjBkzRF6uWXdizZo1YpoGZJdtnnTSSY6/BHNy85hdd91V2HqDnjHkQXcmk1lsWdZ3YEtWfgu70/88k8ncr3a7GkABgAUASgG8DODQTCYzZHo6AwODgcP0YwODzwdMXzYw+HzA9GUDg5ENaySuqflULtOyww47wOfzCWvs8/lkdpVMjWVZkhM5lUoJs9re3i5rGMmqrFy5UhiUeDwuM0bc1tTUJIxUY2OjMDdA93zIXV1dDoaF653J6jQ3NwtDotd300Shs7NTmJ3a2lpce+21AOwZKbK/ZGt32203MU2rqamRGS/i3XffFeZp8uTJsl2z3lxLXlJSItf929/+JmzL1772NakjMtYVFRXYeeedpW65L5lwzt7lwk033SR129HRIdd45BF7QvaDDz7A17/+dQDAnnvuKQZTL730knwmk71+/Xoxm7v++utlho95hP1+v6xf16nDNAZi9FJQUODI3f5ZQ68rV8+y5FPZ2DYH9mXAZmjJBA6VuVU/ytHva/EY/d6xLKvbuuJgMCjMbnV1NWbOnAnA7ots/1SHlJaWStuNx+PyvtGqGX4eM2aMfK6trRWWlWqalStXYs899wRg1yfPq9eJ00DRsix5byQSiW75rvPz8x3puPgO4LszGo3KtlQqJWyATvfFNd0FBQXij5BMJh3vZ8BWjPC6ZWVlUhb6FSSTSSxZsgSA/S7gu76jo0PK4GWU1tXVNaj0crnMMfVabv29fv+7oY3UciFHm9wm+7Lux18UbC0mN1fqroFgKE0lhxLbYpmGGdtkPwa+mH2Z668bGxvF6Jfs7uGHH+7IR00mm799jz/+uHx3+OGHy3t92bJlEkPQPG3fffcVbyKtdqU5m/ZQ6Quoxm1vb5fYhmPA2267zcF0M7e2Zu3pb3TQQQd5np9j6rvvznr06bXqGl75x78g6FdfHg55+VbDihUret0nk8k4cmRr93Kv3Nm9QUvOtcN5X+F1jO58NA5zgwPek08+WXJq68Ec8+hNmzZNgmYGxE899ZQcP336dJGlt7S0yKCf0vCDDz4Yzz33HAB70E/J9Fe+8hUAtrkZ82W/9tprco358+fjgQceAADp3HPnzhX5emFhoZzrqaeeAgB8//vfl3JVVFTIC4fPiC7rhJbCU4JOebsblBsvXbpU/urJCr7k2tvbZVDPfcvLy6Vuy8vLpTw0oAIg+cWrqqoksGCA39raKoGENnIqLS2V588AQgc4xcXFMinC/aqrqx1BPV/4mzZtkuMor00kEhJERSIRh6HbSECuPMZe0INQy7J6dHYe6oGmW6Kspdn6e+2UTcm3/lxQUCCBuZ5sYOCYn58vk2VeZlzpdFraZjwel3NRUt7e3i4/upZlySCBbSsvL0++LygokPupr6+XtsMf8kgkIlLx4uJiySqw2267AbDl3GyPY8eOlUkGLlvx+/3SvwOBgJQlkUiIxJ7Xb29vl3vMy8uTe2Q7j8ViMsFQXFws/S+RSEjdcl89+emWmvcVur4JHYDnOpd7uza2S6VSUha/3y/vK+3ansts0cCgr+gpd/bWxLYa7BsYaJx11lny3uUYDoCnkRpl3lom/s1vflN+G//yl7/IORh0AzZxBsAhI7/lllsA2Esq77nnnm7XPfbYY8VAmePYdevWSTD82muvSUYfThbQCM4NXV6iqakJP/vZz7qVh0sv3YE2J705gcDxtEHvGA4jNQMDAwMDAwMDAwMDAwMDA4xweXllZSXGjRsnbFBZWZlIKyjnBpxGN5pFIitCYwPNQre0tIhEUs94aYMtGinE43FhhLxYqB133FEYJaajCgaDwtBYliXXpkV/NBqVe3nllVfw6quvArCNicgukdU84IAD8MEHdhaJ4uJikY9qQwWaKJDZzoWTTz4Zd911FwDgz3/+s+S7puTm3XfflXqpr6/HIYccAgAiHQUg6Xw4E5gLc+bMkdRYJ554Ig477DAAdooGwGaTDjzwQAA2w05lQktLizDCDz74IADg9ttvF/Z54cKFYkjHuujs7MSkSZMAdDeFcCMYDPaLdR0syPp5pZ4bDEpLSznrus1L2dw5pjUzovN06/fVQFjLoUBPrFE4HHaw2oCTsa6oqJAlJJMnT5b2WVNTI/vyXeHz+UTyzfaol6VMmDBB2O3NmzeLIkKnJKO5WW1trUjYOZOfl5cn78lx48ZJuZPJpDDFvNakSZNk2UhNTY28Bznr/tZbbwm7rVlzMuYFBQUO+TqVHn6/32FQCNgKJpZx9OjR0i9Y1mg0ilWrVgGwmQGqj2KxmOyr2wQZeJ2ze7iYv63AKG6TffmLKEkdSsk3Mdzjsd5yd39W48GROA4dJLbJfgx8Mfsymdzdd99dfps4FufYeShw1FFHyfLJ4cZRRx2Ft956C4A9pibzreXfZO3JaLvhJRlft26dI1UZYI9rKEU38vKeMaLl5Zs3bx6QxLuvoBx6sKAcvC94+eWX5bN2IeaAt7m5WV4KOtCly/i5554rA+Vjjz0WgC3LZrC955574sknnwRgS5Q5aOe6lMmTJ0sA/9e//lXy8V1//fUAbJdx5tGeNm2alOH888+XyQnKZ+bNmyey90wmI/dDR3N+B9h1zXOdfvrpAGwnyaOOOkrKymBi4cKFIoffa6+9ANj5uCl/HTVqlOTpJtavXy/fT5kyRYKKUCgkgc8bb7wBwA5wuMa9vb1dZOUM/tauXeuQwvO+GGCMGzdOAiDtXq6dmBkohEIheZ6jR4+WNbyU3DY1NYlcOBgMiidAJpMRGROfd2Njo/SH9evXb9WJg8GiL3mT3QMzLyfoXHm4h3JQyXO43cP5nXY1B5xO1OFwWJ5tIBBwyI0Bu72xPViWJdfgBJre1tzcLBN76XRa+jIn67Rzvc/nk3XUY8eOBWC3J05cxONxCU6j0ajDQR2w37X8vGnTJvmeE381NTUyedTU1CRlYHttamqS/heJRORcnZ2dcu88ZzgclveVfgeyb8RiMfm+uLhY6sDv90vd8F2RSqUcdex2HB9q6PbFMvL68XjcIR/XyxMI7cLvrheDzye25vPNdS3TxgwMcoOT1wBw8803A8guNzzyyCPlu0cffVR+q+fMmSOT6Qy0DzroIBnLa/k3x8LhcFjG4oWFhbJPLvdyBsWvvfaarNWmm3qu4J5xgb6vXPJynsvt0M6xLq/p9/sl6DboGUZebmBgYGBgYGBgYGBgYGAwTBjR8vLq6mps3rwZ3/jGNwDYLAElyGQXCgsLhXHQxmHaRI0mACtXrhQJY0FBgTC3nA1qaGgQdnHMmDFigNbW1ibMDtmedDotM16rV6/GhAkTpAzcjyZDBQUFIill+dra2uT45uZmPP/88wBsQwbKOMnW5ufnO1yIee+Ucy5atEgMuCgxJWhGRzfwvLy8bk7sQNb4q6KiAv/9738BAB9++KGYN2zZskVkou+++y4AW7JCVnz8+PF44YUXAGSd0A899FBxOC8tLRXjtFtvvRUAMHv2bEe+azL03/rWt+Q+mO/6hRdeEPb7jTfewE9+8hMAWUlqMpkU9pqzeG64c6n3FdoxfFuCymG8zUvZaExFZtOdQxpwOlHrnMy5WMuhZLd7Opd2Lw8EAt3Yac1uV1dXy+zwlClT5N3CvlNYWOh4F/A4stZdXV3yjqioqHAw0ZR8UTGybNkyWYYRiUREfcFrdnZ2yrVKSkocbD3rnsxrRUWF9OXy8nJh1bW5Gc/v8/lEdk7VSyQSkfdpIBBwOJHzXKyvDRs2yLnKysrkXc2+3NTUJKz922+/Le/hLVu2CMPN8icSCccyBLck2N12BmO0pttGKBTyfI/0p01qw75QKMT38jbZl7+IklRiuF3Mh9K9PBc+K3n5SBx/DhG2yX4MfDH7MuXlbkZ3qLHvvvt6Gpn1hra2Nok9+Dupsx554ZJLLpFjjjzySDE49nJiLykpkRgCyMZEZOW1e/lFF10k/6d5ck1NjZzfyMt7hmG6DQwMDAwMDAwMDAwMDAyGCSN6TXd7ezvS6bSkoBoovNYibNmyRdYgMr+zBs3CCO6bC2R2vMDZKCC7ljccDjvSm3EW6txzz5V1u7vuuisA4Lvf/a7M0M2cORNHHHEEANtgDbDXEi5cuBCAbQ5BBubVV18Vhu3Xv/41AIhxGWCv/6aJBGcCb775ZmHzA4GAMEsvvfSSrBWlOdruu++OxYsXA7DZ5blz5zrq6pprrpGyVFdXOwykAHt2jXm6i4qKhKk+88wzcdlllwHIroWprKzEeeedB8Bm1e69995u9cy19U888YQwqjRkArIM98SJE4XtD4VCwvBRrfDJJ5/IWp36+nph1cgwBgIBYQBLSkoc6gjeI+u9trbWkV6MdUs2MxAICINZWFgo14hGo7IPWbkVK1ZI+6mvr5cyjBRYliV12dt6dL0GPJc50FCyKF5rxd2pw3R5NHw+n8xO5+Xlyeeuri6H8gWwZ7TJ7AYCAVnPT/PCrq4u8QOoq6tznEuv4Qbs9c6sp8bGRmkPVIm0tLRI/w0EAt1YdW4H7PrmfW7evFnWapoZsxUAACAASURBVLOsfr9f2mFFRYWDmQecKQMzmYzD0JJl5Lm6uroca5/Z11hHoVBI+hHrl/uy7sme69Rb2kgtFwZiysd60TlWNcut1/7zXnVOeg0vVQcAT/WRwWeLrZWne2vgs0wl9lle38BA4yc/+Qnee+89AMDZZ58NADj++OMd66DJ5JIldq+F5lhf5+/W67ep/rrhhhtk20UXXQTAHlt65cTesmWLKGM5dqyurpb0YkuXLhXjNxoFz5gxQ35ndbpbr/RnnZ2dkpKM9wxk4xG9pt3v9+Oss84CAPkLZE3XDHrGiA66OfCi854OXrWLLQesmUxGBqyWZclnNqx0Oi2DIu1CrI2uGDDqH4mioiJHsMN9OaDNz893yJwBYP/99xe37XA4LN9riYc2EeL90NjMDTp+77777uLcvXr1agB2YMlgetasWfjHP/4BwJaJMmc3g1s9gXHeeedJZ6Nc9PTTTxd5ipa6+v1+cUrUA0QOOK+44grccccdAIAf//jHAIBrr70Wp556KgDbYZ25t9nhLctyOMS/8sorAIDjjjtOJhyYuxtwvkwoVWebeO+99+Ra69atk2AFyErrGZTrCZUJEybIs9bbGSAoh3BHkMtAOh6Py/ZVq1Z5DrR1Hm4v9CZ51eZQvO7YsWMRiUT6ZeL3WYL3xueSTqdF+qsHZnqg63aiBrJ1tTWMsohgMOh4Bry2Lgv7fVtbm3zOz8933C9gtxseFw6HHTmoeX2+a/Lz8+UdlslkZNmJzh/NcmkTPpaPBn+A3YZ43q6uLmmTLF8mk5FzFRYWSh/nuzUajcr7Kp1OS7BNCVwqlZLvi4qKpNypVEquy7ZbUlIidZRKpURKThl5NBqV+tCBrv6/u974PPj83H/7Ap2b272d0O2O9+s1gZRrUkkfz3thHngTeG9bcOfANug/TLBtsC0h1/haS6a1JBtw5rAuKSmRDEX8Czjf68x0xGVmQPZ3durUqZ7y7NraWpGlU/o9ffp0CbC9MvKMGTNGfv84jnaXl1izZo2jvDyO4/5jjjlGvissLBQSjxMHWl5u0DOMvNzAwMDAwMDAwMDAwMDAYJgwopnuSZMmIZFIOOThZEvIPvr9fkdaMS2XJMNCViedTgtr4ff7Rd698847AwA++OADkWa2tbUJE5FIJBx5wQHbdI3nysvLE1MzSiTJ2gI248xz7bTTTnKt7bffHoCdI3vatGkA7Bk3yjS57fjjj8cTTzwBwJ6F2n///QFkZ9T22msvh3Ec04t9+9vfxrnnnuso9wknnOCoS+YEZz6+9vZ2ydldX1+PXXbZBQAkXzcAhyyeUvPjjz/eIXEBbJnqD37wAwB2SrIPP/wQAITxzsvLE0O0Y445RmbSlixZIooDpjILh8NSd0BW8sOZuoaGBlEAANmZvGAw2I0NLisrk/ZDlk3D7/fL8W4mDbDbkVZdUOrqxVTpXMzhcFjqS0Oza0yb1NraKtfWs6h6tnIkIRAIIJlMeppPaTbEixnR9eOVRizXcQOFW1aeSCTkWjoNl5ZIE4FAQGa1W1pahA3lsoGOjg6RZnd0dIi0mrPqn3zyibSjvLw8Ybfr6+vl3UI0NzfLDHcsFpP3Hcvd0dEhZW1ra5Oy6PR+hFaG1NbWCmvO91Z7e7uw06FQSI4nO93S0iKqmWQyKffg8/mkjFQUNTc3y3OsqqqS9wbLv379elE5JZNJR5otd+q5UCjkYJXd6gm/3y/b9Gcv5FKa6PRqrA+9VMIL2nzPsizP9GDcNlyqDYPBYSQy3LmW4nxWMPJyg20JF154oYxvyR4ffvjhjnEVx5T8DXPLsqm89WKUgazBsWaPifXr1zuM1rjPjBkzMGPGjG77U8K+YsUKWQpKc+NLLrlE4pKzzz7boSAlqA495phjPMtLo2UtlZ8/f76ci38BIy/vK0Z00K3X4xI62AG6D1j0oMxrzSsHVnrAxLzVAGR9b2/Q19GScQ1Ksym1BCCScwDS+fX2k08+WQapHIhXVFSIVOXpp5+WSQh2/meffVYGg6NHjxZJ+aZNm6Qz/d///R8AO084XzAfffSR3O9pp50GwM4HSFnqzJkzpQ5vvPFGeR6su0suuUTu/Yorrui2Nn7+/PkS1C9btkwmESiLd+O+++4DYK9lZZDyv//7v571RSm7XtvJ/IYAZP3L0qVLRSLLgXwsFpNBQDAYxGGHHQbAdkoG7ACJEx9+v7+bi7bf75c6yGQysr28vFwCMdZxOp12TAqxbjl5NHr0aClXNBqV59jZ2Snl1tJmTtTU1dWhsLDQ049gW0Rf8nT3Bb0F6LnQmzt5rsCexzLI1PvynvSa3kAgIO0hFAo5vgPsiTIG3ZZlOXJQA3Z75LXi8bjDIZ3thIF4S0uLTGLEYjFpWxws6Jzi2jm+paVF+jXfUZQ48zMDZLbTTCYjUvKmpqZu67CLi4vlc2dnp9y33++X8vD6xcXFDok+J6J0AM/7sixL6qCzs1PqST8Dfs5kMt2Waujfh76s59ZScn1elkVv00E175Vtordr+f1+OY7X7G9WBQMDN0xwa2CQG8cff7z8jtLDB4CspwaySz05/mIQDti/w1x+qYNYvfSR4329Fpzfx+Nxx7WIhQsXipSbSytzSeGJXHm6vd4BufJ0M5B3u7ozZ/iiRYsA2OMAknwGPcPIyw0MDAwMDAwMDAwMDAwMhgkjmuneb7/9sGHDBplhaWtrE+aFrM7atWvFeEDnki0sLJQZHzoIr1+/XtgasipA1jihpaVF5L11dXXCKGmDHrITWvrp8/nErIsS6kwmIzNaWk5JplLLRT766CNhjj766CORu+vc2WSkzj33XIcUlN+zDvLy8mSmDIC4gJN52mOPPUQGOnv2bJFsU0Gwxx574Etf+hIA4JlnnpFZvjPPPFOYd21uRJb4o48+EgaPUvfzzjsPe+65JwDb+Iv3SEnN6NGjxVQiEomIbD4WiwmDfeONNwKw5S9kxDRrvmTJEgC2KkDL3rV6we0sX11dLdva29u7zRjSfXIoEAwG5dmsXbtW2if/esnNc5U717aRgHA47DDgArJ9SS8J0dAztl5MtVYAeEGznj0xQJqV1G1bH8Oy+f1+B+udaz+C7ynOnre2tgoj7Pf7RdGhzdF4jM6nXVxcLDP07P+hUEjOpd8xLE9nZ6fjXCx3eXm5qGlY94WFhQ5FDtssJd9aFh8IBBzvX8BWh/D6Pp9P3tONjY1yD7x+XV2d1JNlWVKPfL+0tbXJPeglCV1dXXKcZsJ1O3AzzFqZ0B8W0KtNuNuR26ytJ3bb3VaNpPzzia0hp+7pGrnk5UbmbWCQG175u/mO1oZoJSUl2GeffQA42W0Nysu9vh83bpyn7Pz44493SLkJSsm9cPrpp8t48KSTTpJ9tVEb3ct33313z/I899xzAIALLrhAtr322mvy+81YobCw0JFRxCA3RnTQ/eqrr/Zpv/6sc9XBNqFly3rttpYF94aXX365T/tpObD+zA6+Zs0aCdYZoM+aNQv/+te/AAD33HMPTj/9dABZx8I33nhDnLePPvpo/P3vfwdgy084oKWc5JlnnpHB829+8xvMmjULAMT5+6233sKDDz4o5+eExAsvvCCB7lVXXQUA+Oc//ykdcfbs2bJWhYHEdddd53B45oQGz19VVSUy12QyiXnz5gGw04OdccYZAOxgn385eQJk06Ux1cOyZcvkvvx+v0xcrFmzRlKd8fh169ZJ0JCfn4/p06cDgCM44CTH66+/LsEA/zY2NsrLrqSkRO5x9913F1n6m2++KedkYDJx4kSR43PCZuedd3akaGObW7FiheMagNNdv6KiApFIBMuWLcNIgNd6dw4Ae0sfpvfV0IGLe1CppcD9gVcwpANDPajl30Ag4LlWV6cMY2qwoqIi/Pe//wVgt3m2M7aBeDwugXBFRYW8jxobGyVw12u2OdGkA1JOWHV1dUn/7OrqcqTs4vOgC/ikSZMc98i2x3MFg0FH3fJceuKB1yotLZUlJPF4XCZNtaSc2/Lz86V9a9d3HcCzPvRnvUyop/bT3zbg5Rmg24SWn7vbZCAQcPiA6OPd7SoYDEq5e8teYLDtYWukMcyFnq6R6zsTbBsY2EEmx8pHHnkkAHtcpQPryy+/HIDtlQQ413TPmTMHL7zwAgDIOBxwxiA9ycvfeecdT1n6448/LunBOOa+7LLLHCnD6HnEcs+ZM0cmn7VUXqc/Y9C8bNkyR1ozpuI96KCDAMCxzhyAEG+TJ08GYI+p6Whu0DOMvNzAwMDAwMDAwMDAwMDAYJhgjcQZTsuyigG0bLfddmhraxOpY3t7u7ADmiEi+xGNRuVzcXGxMA1kGpPJpByfn58vbAsZ46qqKmFrNm3a5GA1yMKQsQqFQrJvRUWFsDXvvvuufM+yrF69WmaMiJUrV8rss5Y477vvvmLgQEO0b3zjG8J+jxs3TthNMrQAHMwQGbG8vDxhyGfPng3ANkcjC/vvf/9b5PY0PNPo7OwUpmv9+vVSdyxfcXGxlHv77beX+qK8/e6775Z9S0tLhZ2++eabpazcd++99xZJ+KpVq2Q2j2qHpUuXipHbaaedhqeffhqAnZ8bsPMI7rjjjgC8cxpqlJeXO6S02yp6ckV3oSSTybT2ttNnAfZlLtHQ5lNeplf6e92mua+WJbN/5WI6+yOp1GVxH+fz+Ryyc37WMnG+QyorK2WZxE477eRwrgfgMCNJJpNyD+yHnZ2d0n8LCwuFUY7H41Iuysuj0ajMcNfV1ck7SBuq8T1pWZZs1874lI+XlJSIyiIWi4m8jM7iq1atkuvm5eUJc8u2qRn6/Px8YcoDgYCci32uqalJ7qWwsFCuSxVSa2urKEZefPFF+T4ejwszz+UZ2qjOi5HWbaq3dqCl6L05nfcXLKeXi7nrettkX2Y//qzL8VlgW3MxH0p5+daSnY/EceggsU32Y+CL2ZfJLnvJyPsL/j7rpX5chrnvvvuK6lUbLGsztqHCsmXLHKZwjJNo9AZkWfNQKORQRTJ24DY3+04DZjLtFRUVci6vPOOfc/SrLxum28DAwMDAwMDAwMDAwMBgmDCi13SvW7cOgUDAkYN6IOD6WW201dbW5rm+uzdwPUh/EA6HxfArF7gmZMWKFbLW++STTwZgrxd/+OGHAQDPP/88/vznPwMAnnrqKQA2I857ufDCC2UGrra2VnJUc+1GJBKR+iwpKZGZMjJIjz32mKzdyGQyuOKKKwDYs3pknGgWd84554gB25tvvilMFnP8avOl7bbbTq7BWbYDDjhA0nTV19dLuf1+P1566SUAWUZr//33F1O2nXbaSZ7pWWedBcB+nv/85z8B2Gt0yPrpnMNca/7mm286zOjIPjLNWCqVkvzd2qiJrJ5eX7vDDjsImx+Px6WOWC8+n09YzOXLlwvrx7Xs48aNE7YyHA7Lc1yzZo2s59W56WlGFwwGEYvFBt03thZ8Pl83oysvJtG9Xhqw2Wcep5mZntby9pep7M20Ta/35/fc5mbB2bba2tpkXzLGXV1dYp6Xn58vbYftpq2tzbFOmmx6Q0ODbGef2rx5szDV6XRa1o9r8zYyxl1dXZJSr6urS9ofzxUKhaSOt2zZIm2d99jQ0OBQEbFuyZjH43HpZ/X19dJv+R3gXNOtU+6RjWf/TKVS0vYDgYBjHTfrmsqCzs5OzzaTC17Pltv0+XOtr3anCdPIZDKiaND3q9fbe0G3H4NtB1uL4dYKIK/ru9v1UK7pHioG+rNc425g0FccddRRjtzWgD02prISyK7p5jhVf/foo4/K76w7tzXB7/U6aZqcPfvss55rwd955x3xluKY4KCDDsKFF14oxx188MEAsubIy5YtEzY9FAoJ0+2Vc9y9nax1rpzjLK82cjN5uvuGER10e8mAacal3WvZSIHsIFHLv2k+pXPk6pzOHKQGg0EZ/BYXF8vANBaLycCQg6qNGzeK0VlRUZEMqijd3mmnnSTID4VCcjwHWO+//74jlzQNzRobG6UD//WvfwUAfO9738P9998PwJaOsLMfffTRAGxpNgMzwJZ1A3aAzjpgbu9gMCidb8GCBRLIsj4OOeQQfPnLXwZgy/JpnnbvvffKhAPLHQ6HscsuuwCwOy/Py85/6qmnyvMrKCiQOqA7eCwWE7MK/Rw++eQT6ex8EVVWVjrM6vjCnDRpEgDbGIKmFLW1tQ5pDwfQNLAaO3asBD4TJkyQ8jz77LPoL/piZKYN+dyTHMuXL3cY+XmBwdaOO+4okwFsxyMFqVSqWx5l9oWeHKHd4HYdqHhJiNPptGfO5b4MDr0GwLqs7oDMPSnA94ZlWRI0c1s4HBYXb10WlrWoqEiun0gkJGBta2uT41iW/Px8ecf4fD75ntvS6bQjjzYD4Wg0KkE132ebN2+Wa2kjQZarsrJSJpJSqZS0X75v29vb5Z2s83Qnk0lHsM19+b70+XzS/zhYaW1tlfNrx3ud85t/9XKAUCjkmeu6t9zu2iBOl9Vr+UJv7ZPl7gv4vPpiJGgwcpHrnaO/98JIClhz9Svjmm6wLcErt3UikXAElAxIuTTMbTLGsWUuA2f+Nul83PxdOfzwwz0dyaPRqOyvyQIG2Pyr4eV2Djjd1jUh5AUSXfoejznmGFxyySUAsoZro0aNwoknnuh5DgMnjLzcwMDAwMDAwMDAwMDAwGCYMOxGapZl/Q+AKwHckMlkfv7ptjwA1wI4HkAYwFMA5mYymfqcJ3Ke02H0QDaTRlr9hc6RSjkmmaehBtnarq4uYV00A0Mp85YtWxxsEOUd06dPF/k2Z5YqKytl27PPPoujjjoKQJaluu6662TG6oorrhDW2+/3O3J9A8APf/hD3HvvvQBs9owyTZ2O68477wRgszb/8z//A8CuO0qZmQ5o1qxZ+NOf/gTAloZyho5S9nnz5gk7ts8++4gU/Pbbb5draekOJfjJZFJM0XTqLpqm3XrrrdIWWK+VlZV45ZVXANipGnhfGzduFNkrZy4/+OADeQ7aDIMqipKSEnk2a9euFfM8r/ZXVlYm7cvv94t0icfU1dWJtLilpUXYRt0mKZUvKSkR9isajfZq9jZu3DjOjg7atGU4+vGn55C+rPPd9/e91FNaJc0kacOq4Xj36fRgbJt5eXnS3mpqaiTdxvbbby/PlvsWFBQI+xOLxeQ4tsfm5maRp+sUVLFYTFhUqhySyaScv6ioyJFaC7DrirPumUxGlibouuHfUCgk7HMsFpNz8fptbW3SdvPz84WdZVlaW1vlXpiTndfiubhvZ2entPNwOCx9mO+PtrY2UaW88847IpGPRqMOVhqw+7/OcT4Y6HaUi530yimv2Txdb7yfZDLZK+MXCAR4zm2yL38RzZeI4ZaZ55KXfx7wBWa4t8l+/Ok5vnB9meNrv9/fLWXYV7/6VUdaMDLFjBV06q9bbrlFxpFe2Hfffbsx4xpLlizBokWL5P+9GbuRgX/ttdekXDxm1qxZouKdM2cOfvvb3wJwpgyj6dn06dM9jdQ4Pncz3YwHdBpeLjs1Rmo9Y1jl5ZZlzQLwUwDvur66DsBhAI6B3blvAvAwgP37c366yepgRzvkAnYgxU7k8/kk6NXyWw5+/H6/BNsVFRUySGMwqQeeuQZwHFi2t7dL0BuPx2VAy6DLsixZo9jc3CzrMbSEmdcKBALibj5t2jTJK81yVVZW4pe//CUAW1JON3ZKw+fOnSuD6/z8fCxYsACAnZOQA/Cf/OQnAGzJOSU2t99+O3bYYQcAwC9+8QupN3bItWvXSn3plxLlq7NmzRLX846ODgkSGWTed9998px4bSDrSF5ZWYmbbroJAHDKKafI8evWrZOchJdeeqnUBe/l+uuvx8yZMwFkJTyhUEjKyhcR64P1xb/BYFCC7SlTpkj74uCefwl+r9drsr7da6o54aHLQEk4rw1k3ap1ULJp0yZPp/Lx48cDsIMhLQHW8qXBYLj7MdB9jbVlWTLQ1GuY9T46wHH3x0Ag4Bls5QqGBgIt/+W5ksmktAOeN5lMOvLN83NXV5cjnzRgtwv2n0gkIoEsy51MJh35qvlu0zJtlqu5uVnaXzgclr6mszFoGb4OXhnoUn5eVlYmZQyHw3IP9EYIhUIS9MfjcZHW8Zza+bu6utpT4s53YyaTkXMVFBTIhCCPb21tlXbe1dUln3UfZ1145b/W9d0bdLndMnSdt5zbtCze7aivP7vXcPcUwHvdx0CxNfqywcCxrQbYfXFC7+19ui3e10iF6cfDAxI/buixFH9vuExSr3cuKSnBc889BwC44IILZDs9l6ZNmybBrc6L/eijjwKwJ8e9nMzvueceWTaq83T/6Ec/AmAHwnosDQCLFy92/J/rvzVY9nPOOcdxH2eccQYA4Ac/+EG3Y+6//34J4DlBwLow6B3DJi+3LKsQwP0A5gBoVttLAPwYwDmZTOa5TCbzFoBTAOxnWdY+w1UeAwOD/sP0YwODzwdMXzYwGPkw/djAYORiOJnu/wPwRCaT+bdlWXqK5UsAggD+zQ2ZTOYjy7LWAtgXwOtwwbKsMGypDFEE2OY/EydOxMcffwzAyS6QSdGyxlAoJLOwU6ZMESaBrE4sFhM5hZYVUy6izZ20NHvUqFHCKJFJSafTwgLF43EpD2WiZWVlwqyOGzdOGG6y38FgUFibtrY2mWnjOQEI+33ZZZfJ5wcffFBmvH7/+98DsGfp6FJ+6KGHShlOOukkMenitTZv3uzIL05JNSXlJ5xwgtThD37wA6n7t956SxgpMuXTpk0Tk7AddthByk4W6/zzzxdWcJ999sGvfvUrAJCy/v/2zjW4ruu67/993xf34g0QAAGSoEhRNElJHMmVbDnjpPUkTmq3TZ26STPjqT390kZup51pm/pTHh8at6mdNJEnaWdStx+SaSeTNJkm45ErO44by5YiaWiRtPWgKIokSLwIgHhcPO7j9MPBWlh7333uA8AF7qXWbwaDi/Pce5+zLs46/7XXAnZUuaWlJX6blkgkuK44bSuV0kKhwG8DKaKhUqlwW4GdaypDtKmvKysrrITJtpw+fZqXkRI9OztrZQ8nKFx4cHCQk7K52wDh9aQ+zs3N8b0o9/HR19dnhbgDoSpI11GqZHtk3+wYiLblSqWCfD7P7a9UKlbSMyC0b5+q6CZNA6oVbTertDx+I2HDPhVHKuhk977EYFK9qlQqfI2Xlpb4GLT/vXv3eAxkfymaoauri+0zm83ytQ+CgL9j6N5dXFy0wtPpHBSePjExwWOXTqf5Df7U1JSVcBIIv+MoSkhGHFDkxf37963oIYreoPZtbm5yXwcGBnhsMpkM2yB9n8rx6uvrs5KmAXbUTKFQ4Gsik8FIVc2XtE1Sa2qCu0zeB+79CdgJ9WplJJfTEGh791i+qIw90vL/yUpIs2pvo8n8dnvMettG0Uwm9HoRQ+7UD2XXHMj/5Pcj3/zmN/n/ECUE/vVf/3WeugiAE/L+7u/+Lu9DfPKTn+SkxDKM+4tf/CKA8DmanhdlQjM61uc//3kcO3YMQPi/l4516dIlVsDp+eBP//RP+f/N22+/zVGplIjtt37rt6xQefIxZJ1uoq+vz1LYKTGzL1pyYmKCfQjaZ3Bw0EpOrETTEqfbGPNzAJ4A8Dc8q0cBbAVBsOQsn9le5+MLAH5p/1qoKEo9WmDHgNqyohw4+j9ZUTof/Z+sKJ3NvjvdxphjAP4zgB8PgqDx+ii1+TUAslBcN4DbS0tLuHTpEi+Mx+Os7BD5fJ6VIUkj9YvpWPUSVklVUiZgk/N23ZT8UhWanZ1lhZvUKleRob8vX77M6hK17/nnn7fKZZHSffbsWQDhXGlK3nT69Gl85jOfqdkf3/qnn34aAPDkk0/ipZdeAgC88MILrG4/99xzVW+6Z2dnWdn9sz/7M34rRuXPPvWpT+GJJ54AAHzrW9/iN4tUi/qpp57CCy+EL23p7SIQRjh85CPhFCVSop988klOGvXOO+/wHHdq961bt1jpGxgY4LftNEYAuP65LBn2xBNP8JxtqXrL0nGkAJIqKOfaTk1N8fXIZDK8LSlaS0tLfK6+vj5W6Ok+Gh0dZWV0cXGRk9RJxVzmBiAymQzK5XJkKYh6tMiOgQhbNsZYZa9kSS+fCiiJmu/qUyWj1tdbXm/uopz369Zy3tjYYLV1dXWVr10mk2F7p4iPqakpS/GlN8qk9kr1O5FI8D1ZLBZZnZZluuieTKVSfA6y2Uwmw/dWLBbj76QbN27wMega3Lt3r+o+p2MAoSpLx1pYWGCFm/oaBAHf03fv3uVjlMtlvn50r9Icb3e85DL6Tt/c3GRF2BhjzakmoqIT3GVuxIO7r+9vua0sKQbYUU/uuWqp4PKY1Jd4PO4td9YIB/k/eZ+O/cDTygRizajTtVTnVrXxfZw8bU8c9P/kfTx+xzA7O8uKLUWPXr582asO+8ppPf7443UTifnqWdOz8U/8xE/w3OrBwUFOOhxVA5vWS6jE5lNPPWWV3PX5QQSV/mqE1157zXveTitTe1jse/ZyY8xPA/jfAOSTcBxAAKAC4OMIw1/65Rs5Y8x7AH4zCIK6FdYpu2IqlcLExAQ/4JXLZX7Yooef3t5eK9SXHoQymQw7xRTOcenSJd52Y2Oj6iY9ffo0O+DyQWplZYUdYAodyeVyvO3a2hqHRlPYZT6ftx6iaFtKuLa1tcUJ09544w18+tOf5m0pjOTrX/86AOCHP/whHn30UQDhFwD153Of+xyAMCEZOcrDw8OcHXx8fBw/+MEPAACf+MQnAIShJ3T81157jROSUXKzZ599lvt66tQp/sL56le/yg4sOa9dXV0cxv2Zz3wGX/rSl6zxrPcQKeump1KpyORI+wWFv8tM7c2s9227sbHhTX5GJBIJvudqfSm6pNNpPi6N8fLyMmdin56eRjabJUem6UypB2HH29v3ALifyWQQi8Ws0Opa2aZlSDmwY48ywZ1AtAAAIABJREFUlNitcS23awb3wdR1zJLJpHUvUxtou2QyyW3o7e1lp7evr4+danLC7t+/zw62dOLouvb29lrZzSlR2dbWVtXUAhkGnkql2Jmldo2Pj/O2mUyG7+uZmRkrMRwQfl/Rd5us6U39Xl9f57EtFArcB5lMjrY1xljf07RcZpiXjrB7rTc3N/mlgExM59bRpmPScaXNEDJjvmxDFPJeqLVtvfvXPWatRGrxeFwm3WtLW34/ZjxWlD3Qlna8vf37zpYff/xxADtJyiTf+MY3vMIbPTPLBGaFQgF//ud/3vT56ZlaJlcDwNM/fcccGxvDiRMnqpaT063h3gfGoWcv/waAR51lXwXwBoD/AOAWgCKAjwH4IwAwxjwC4DiA6Fz6iqIcJGrHivJgoLasKJ2P2rGidDgtr9MNAMaYbwG4JGoJ/g6Avw3gswCWAfw2AARB8EyDx+sBcD+ZTKJYLLJyJJOfUSgkKTIPMoODg1bfG+XMmTP8Jq1R3NJOsq45lQIj5Sqfz3OYtYTKfb3yyiuYnJwEAFy9epWXyzqFRDqd5kRn8Xic1XxqfywW4xJpL774Iqt2pL5vbGxwbexbt26x4lUsFlkBpMiH4eFhVhAHBgZYhaLw7UwmYyW1oDGga5BIJCzVkcJm8/l8VYgu1RsGgMnJSVYTSdlcXV1lxezOnTscih4EQc2a8gMDA1hdXaVrseeaoMD+2/H2Mfitejwe53GJCotvpsxXrQRZzSJDiKUKS1B7crlc1XdOIpFg1TKZTFplDSnyhiiXy94+ktorj1UsFtnWkskkjxnZp2wrsBO2Lc9PYyTrWZfLZStk2z2vLzRatnVjY4PbIKcGkPotlf9YLGYp+4Cd8FKOB+2zublpHV8q6G7burq6LCXcba8vCZ9Lvfsoaj0dW66XSQFrRezIdgXb9b3b2Zbfj+qYouyBtrTj7WOoLStK4zRly4fldGcAfAnAP0KYNfF5AL8QBMF05EHs4/UAuB+LxZBMJtmBisfj/IAj63HTw82xY8d4fXd3N89xpFDFmZkZa/4sOVY0RltbW7y+VCrxQ64Ma3zkkUcAhHMzaa6tDBmlB998Ps9zlzOZDD98y/bTuXK5HIcgX7lyhbMiynnO58+fBxDOx6SHY3r4f+yxx3gOcqFQ4M8ydJMc3m984xtch3t+fp7ntXznO9/hc1FI7MrKCo/R9PQ099etYw2EoTAU7iIf3n0vTIhjx45xvd9MJsNj6COVSvF4yTnZu3n5EpUHYDfIlxQ+h2y3pFIpvnbSKZEvEwSt+ge/JzvePkYPgPvpdNqqW+1DhuzKUGHpTPnmccvs5bSsme+9qPByX7sk9P2yubnJ1yqTyVhh7/TixPcdJs9Fx6e5+rRMOtj0Wc4pp7bH43H+jpF2RN8rxhjrnnFDuuW8dFmPXk75kGMsHWE6njyvDIGnbeX9LGusyxB5wK5VnkgkrJDxWi8G3BeGdK5m5vsTvmveSBb8evja75yrLW1ZH9QVpSna0o63j6G2rCiNc+jh5VUEQfBjzt8bAJ7d/lEUpQNQO1aUBwO1ZUXpfNSOFaWzOBCle7+hN3HGGGQyGVacZSghkUwmOUlBIxnLm2iDlfinXjZal76+Ps7Ku5v9oxDJs+ry9NNPc4I1WXe6FqlUipOE+RRtYCdr74c//GF8+9vfBhBm2Kbxp6Ryd+/etc4r62DTcaT6RgnDTp48iVdffbXqvD/zMz8DIMzmTko1ZW2/ffu2lbSKws9XVlZw7tw5AMDrr78OIMwYTqHm4+PjrE6TUre1tYWHHnqI2+omkDt16hRfg5mZGUs1pBB36sulS5c4Gcb09DR/lsk5KIR+cHCQlX+p7EtoPMvlMpaWlkjZ25e36q1AvlV3lWyyCalORoXyupnOgyCwtnWVy0QiURUC3QiN2CopsvL6yKRrchm1kdaXy2Xe35fBPZFI8LbFYpHXJ5NJ/u6TtaJlyDipqPTbjQDwhT7LMHCJqxjH43ErJFx+pnORLcfjcUsBlxnUCWrj+vp6VQi+7Ler0LvjXC9ZYyOKdL0s9zLc38duEvnFYjFr7EUYflvasqpjitIUbWnHgNqyojRJ+4WX7zf0pZDL5VAul7lUlCy9RQ4WZTYHwqy7FE6ZzWY5LJEebvL5PGcXX11d5fm15MhMT0/zQ+TGxgZnGl9dXeVjUFtu3rzJD35y3jA5Y9IJnZiY4CL09IKgVCpZpaYobP0v/uIvOKM4OYn9/f0cBv7yyy9XOZHSuZ6cnOR51jLcmbI2vvXWW5zJ8d1332Xn0Dc3+8iRI9zG2dlZDjv1vdw4f/48rl69CgCclX1qasoaFxm27sPnzBBnz55lp1dCTixldGyEqFB29xoCuw8j3Q/oXqN7OhaLWWXqBG3/D146gkBoM+5c3kqlYoVmy4zlriPshhLXc8ZkSPZunDDa3zcnm0o+AaFdy5cw1B6Z5VvOBaa+y3Bqn3PrC7EvFotWBmyCnENjDK+PxWJWmTC37Jk8VyKRsPrj4s5dpnPRtvKFCGXmlmMgr12lUqkaI/caybHfTai4D98+biZ1X993cy73Xgai+4I2tWV9UFeUpmhLOwbUlhWlSZqy5Vj9TRRFURRFURRFURRF2Q0drXTT37UU0PcjMoETYCckO3XqFGfMlqHolEXcVbSligREhzUD4PBwWXOYVG83KRoQRgtQArirV69y6DWptU899RRefvllALZSfvHiRVy6dAkAOGP6nTt3uJb5H/7hH7ICT9EKQFjHGgDOnTvH9ckzmQwf4/LlywDC0G6KABgZGamqOby8vMwqc6FQ4KzqNF1AZlK/fPkyj3GpVOKIAgrjT6fTnGAum82yqnf8+HEAYcg6Keybm5scyXHv3j2v0kbXMR6PY25ujvrc9m/V3cRUvqkiQHR4uQxXBsKxrqU6ylrQMunafiKzcctkX9QH2Qa6lrFYjNVOYOc7jb7j4vE4b+smSnNDvmWd7nQ6XZV1XYavuzWufYnnfGMv1XypyrsJ6+QYUDZu+uzWBJfJ5GTItgy3ltnV6RzJZNJS0/cLX81vaqc8VyOh43Jca92f8hrQNIDtsWhLW1Z1TFGaoi3tGFBbVpQmUaVbURRFURRFURRFUdqBjla6SV0hde/atWusJFKirJmZGVaJ0uk0KyyVSoVVEVI1h4eHLaWEknGRgjE4OMjJw3p7e3lu8vLyMitStN4Yw+WqCoUCq0ik5qbTaZ5nLMtpkeoaBAGrxIlEgo81MzPDc65J+a1UKjyP+/r169Y8TCCs+Ux9JLUXCOdx0zkoOdq1a9dYTV1cXGRFV+5HNaTn5+dZVZdKmS+hkExOJueP0xz2Rkp0PfbYY9xvV9WTx5dzsknpJhV6P5Bz8Gsp/42y25ryMmKgDm3/Vt0Yg1QqxfdOpVKpitjw7AsguuaxT5mtlxTLrW29X9Dxs9mspeC7JaLc5Gq+hGWytrZc7ib0kspsKpWqUtVpzGlbmejMbXexWOQoDKmw+8ZTzkeOqoNdqz52VJI737nqlRKM2m+3uJE/vvPQ572Up3P3EZEMbWnLqo4pSlO0pR0DasuK0iTvn0RqQ0NDXHMasEOYfURl9o5yXmQitHq4D2NR4bFRuKHVbriodMxk9u9GkG2Rx633wJrP5/khUCY3k46sTC7mJhqT4y2dYvlgeezYMQDArVu3ODydHNre3l7MzMwAsJNlyTrasu46vQyg8HnATqRG5yqVSuyArKyssPMiHRS6J5aXl/mFBI2BvB+Gh4f5hYSsj07Zze/cucNO4+joKF8HcihnZ2fZ8SmXy3yd6ff6+rrlDFG75NjT+v7+fk5GNzs7i/v377f1gzqwY8uUqd7nSPuc56gs4lGOeq3kZ40kT9sNUaHwsk2+zNe1nG43kZo8Fu3ncwh9TjdgJ3KTIe5u1vRyuWwleHO/E+U+0umOytxdL7Ta57BSW2X4um9f91x7pd6UBhmu7yOqr77s+oRbJ11cs7a0ZX1QV5SmaEs7BtSWFaVJNLxcURRFURRFURRFUdqBjla6AVtNNcawYkwKZ6lUwiuvvML7UoKtVCpl1ckGQsWB1MNkMlkVkpzP5/lcfX19WFhYABCqrBQaTOHY9+/fZ1VSltCh4/f09LBCeuLECS7vJcNNZQ1ranehUKhKenbs2DFWtzY3N3Hv3j0AO0rKkSNHuH3FYpHV7bGxMe7DM888AyBM/EXbrq+vV9XOPn36NH+WijOdh9oL2GW8BgYG+FyyL7XCNWUtcwC4cOECt8VV6KWaL8uxyfGU56VybzMzM1aIPBBGPNRql1s/fD+pdd5mSafTpPh2xFt1Oa6yljOpfG5kRlSCK3c94FcpZbktX7mqfegbt0/eh25IuYtbrouOAdTuUy2V1xcZINVxWadbLpfJ5tzzyPX1xs0trVfv2tULCZdjuJ82U49Gohfod63wcpk40P3sO36727KqY4rSFG1px4DasqI0SVO2nKi/SfsyODiIRCLBztS9e/c45NoXei2dOBn6LUNa5bxaepgjp0w6mOTY0rHogU/WqCYHQjpoFMpMc86BnXraLvIc0mF0Hy7v3r3LD9QUCg3sPLhNT097w25lrfLvfOc7VvsIOZcbsOueu/OwKbybnG7Z72PHjrHTTW0pFApcX/ytt95ip522c50EqqE+PDxcNY1gYGCAr6l0zCYmJgCELyjkcgpbB3bCVqk/VJscCF+o0LloPOXc40wmwyHddG9ls1m+d+T9IF880EuhO3fuWONE+8kM1oODg7ytfGlEL3DoGmUyGW7D4OAgX4dOIJvNYmtrywpRprGQL0NkPW/fiw/psPrCmQnpCLnzkfcLeVwZuu2b2yyzdfvqixO1wqbrrfM50nQuGc4slxPSMdxN6LbreLqZ1Gtt73tJIcdzN+3Z7Txv37nksXyOts+Rdl+ouOMgs9gHQRCZ10BRFEVRlM5Aw8sVRVEURVEURVEUpUV0tNItlWAgrOUsw5kB4OTJk7hy5QoAO4N1X18fh39Tgi8AnKTs3r17rDSQgmqMYXUxm81WhXHL8y4sLFhKHGXplonJSLXMZDKsgFKSsvn5eV6/srJiqbSkntL6zc1NVnRlYjni4x//OL7+9a9zW0llGR0dxfXr1wEADz/8MIAwM/jZs2cBhDWiZWIuIFTC6byJRILHY2ZmxlKPAVhqtGyXVMilku4qs/l8npX3ra0tHiP6LZHXMB6Ps3InIwpkjWsZXu4q9vL48jPtf//+fSuZHY0nXe9sNmsp3HTNZV8pcz1gJ+zzZUInhR/YuRcLhULV9AcZpUEJ2jqldv36+roVkivDocm+3HrXvprHPhXZlyhNKoutmmLjU1NdpZTaK9stp7vsV0Kwen10owKilOkodhshEBVaLpOTRYXh0/ootZyOVS8D+m5p9FhR6nitBGxBEFi220iWdkVRFEVR2hdVuhVFURRFURRFURSlRXS00v3oo4/iypUr+OhHPwoA+Mu//EtWI6le9tzcHJdfAlA1/1bS1dVlzQUnpYFKOuXzeVY+5ZxwUnsBWxmVZZ/ovPL4dAyplMu5laRcGmMstUeqvwQdt1wuV5VAe/7553m78fFxLslFEQCAX00FqtXnRCLBbVxeXrbUW6kkU7sJqeaQ6r+4uGipRDJKgLaTCjbxwQ9+kJPjUWmud999l9dL5Vqqv9QumURPtpvUaVmHe3h4mNsuIytku3zz4EkJX1lZ4fbIa0gJ6ubm5liNj1KzaA48sKOmHzlyhNtAyQPL5TLf9752tTPpdNoqBVUqlarmwm5ubrItun1zE43FYjGvQtqKklISN0EbnVOWP6t37lrKrk+FboR6+7hz3HejCO8moZlvPKKSq/mQERG+ZHHucfYzqsG9zvWO7yZXq5UcTyrhiURCVW5FURRF6XA6Pnu5Czmc5NTcunWLnZrJyUnO+O2rWyuzJ5NjCOzUnS6XyxxaXSwWef+oh0xyure2tqqSPnV3d3PdZ1lvXCYNooeudDrtzdpM2+bzeSsMnJw0cixPnDjB4czyvE888QRee+01AMBP/dRPAQC+9rWvWe18/PHHAQDf//73vX187LHHAITJ4HwP3RT2XiwWOfxcbvcjP/IjAIC/+qu/4v5Q+6XDLB1SX6bkkZGRqvB2YCeb/PLysuXU03itrKxUOfsS6RS4dcgBO2s6JbGTIe2yDYVCwetQ0fk3Nzd5DKh/bui7xOcYUdK1e/fu4QMf+AB++MMfAh2YKTUej/O4S5ugvsr7wRjD95Qc33pO4F5DzH3j73Mio8LmGzl+M+3az9Dp/WI3Lzlc+67Vr6gs9O04FoB9T/qmR8hEgm72++37pi1tWTMeK0pTtKUdA2rLitIkWqdbURRFURRFURRFUdqBjla6P/ShD+F73/seqwMDAwPeRGKyXJZMgOWDti2VSqy2SLVUQspnIpFg9VhCSrdUbElBX11drQprpj4Atuoq6+aWy2UrCVgjyFJpUs2XtcKl8kvq89WrV622AaGaSyG+MpQZqK7THaU+R7WfohRIDZLjlkwmuY2uUg0AjzzyCN5++23elhJuHT9+HEBY6ozCsKenp60SbG7I8vHjxzm8PJVKsaLqK7tG28j9qQ2AHRoqbU1OeZD9dMdCJmWT6u758+d5nN3r4G6LDnirTmPoSyxGxGIxK2Ga73rsNny8lcqoVL8bUa/rKbu1EnB1ArIPvlDyRvrYrkp2LWSUg4yySCaT3qkgtI2zvi1tWdUxRWmKtrRjQG1ZUZqkKVvuaKcbsB1KIAwhB3bqSUtHPJfLsYMzMTHBobv00C7DhoHq+rC5XI4drFKpxPvLMRweHgYQhnaTc9vX18cPTXK+tMR1RNPpND90lUoldtaXlpaqwphlyPjk5CTPz6ZzyjnBUfVen3rqKQDAyy+/bC0/evQoAHvOt5wzLttCbZTjSM7TxMQEXwfaf2lpCRcuXAAQzi+nzO10PUdHR3ne8vDwsNe5JAYHB6uy2bttlS80ZMZwFzcEeHx8HAAwNTUFwB5vH/39/VUvK+SxATsMmtq4ublZ14nwvaihe35qasrqj3jB0jH/4KUzRdeI7iHpgLlzefdSQ/qg2c2LgXpOpi+Ddzt8tzcSwt+K8WhXor533HrtMry8XC7LFzdtacv6oK4oTdGWdgyoLStKk2h4uaIoiqIoiqIoiqK0Ax2dvVxm+gZCVZYSpZHqOj8/z4rBxsYGJ1i7du2a93ik3BaLxSo1c21tzQoFpvMPDAxY2dJdpBJPoeqZTIZVjaWlJVa4o5Jx+dRjQrZzYWGhKlRxc3OTFevp6WlWlMbGxjjMXmYpl2HYbuizDP3MZrNWOynkmyIAjhw5wsednp62EtYRMgu4m6FXrpubm+Nw/kwmwxEDpNwnEglv4jpaZozhkP3u7m6OLLh27VqV+uQqbqRwU5SDzDYs+03XYXFx0VLvKOy+XC7zvSBVfepDEASsWtN9FAQB95WmUwB2sim652UbR0ZGrDrp7U4sFrNC+YGd60H3m+xzqVTyhpf7klO1Wg3dS8h4o22sV2u6kfMfhircyDl3E53QTO3tw1bF5XeBvKdlQky6h+tNq1AURVEUpTNRpVtRFEVRFEVRFEVRWsS+K93GmC8A+BSAswDWAbwI4BeDIHhTbJMB8CUAPwcgDeB5AL8QBEFjmcG2IeWQylLNzc1ZicqAsKQTqZ1zc3OscA8ODrIySepCMpm0EphRsi0il8tZ84ZJ6Z6bm+NtSalLpVKsanR1dfFcXpqL6yZlI6TSTUnf3JripBj75lNLZZpUz2QyyfOpK5UKKyxSIaR5xUBYwgwIlWZaTop2KpVi1b2vr89S4KlcFanncqwmJyetsQdCZZj6MD8/z0nP3nnnHQB2ffJ0Om2VbnNVq42NDR7vYrHIEQW+ed5uBIOvTjCp/Wtra6wy0TVzVSc6Ho23nI9cKBSsKAJaLq8pKeXLy8uWak1QWbbvfe97VhQCQYpvMpnk+/7WrVuRdb8b4SDtGAivgVsWj2yGIjfK5bIVlUD3r1TAfeWjWk0jCqusySzvt2bbWKtftRTdw1J5d1O7u1kajQJopEb6XvHNT5efZdJFmTRQRnMQ9N231zYftC0ritIa1JYVpbNpRXj5jwL4CoC/3j7+vwfwdWPMuSAIyCP8DQCfAPBphAkbngPwxwA+0uzJ3MRh9CAj6xVTeO7IyAg7QD5nrFwuW3Wn6QGKHJlCoeB9iDTGVCV7kg6EL+lWOp3msOM7d+7w/jJcOyrDOiUEk8nNqI0y9JmclVgsxp+lIya3lW2UGeBllm3AriXthllLRxAATp06hbfeeqvq+DJruUwoRNu60waAcIwpJHtlZaXqIX5tbc1y0N2XGsYYvifm5+f5hcbKygpPOXjzzfD/VhAEVl+ov9Suzc1Ndurj8TiPg7ynqF+xWIzD4kdGRqqmP2xtbfH96as/ns/n8frrrwMAzp49izfeeANA+MKF7hVyPjc3N3H27FkA4XQBX93xJjhQOwZCh0Q6InTPkqNdKpWscSVnqlKpVDlbVNuY9qvHXkOQG90/Kkx4N2Hmzaw7CHx9aKWz7UMmInPx3Sf7jXSQff8r5D0tM5nTfr4689TePTjfB27LiqK0BLVlRelg9t3pDoLgJ+XfxpjPApgF8CSAbxtjegH8EwA/HwTBN7e3+RyAHxpjPhQEwff2u02KojSH2rGiPBioLSvKg4HasqJ0NgeRSK13+zfJbk8CSAJ4gTYIguANY8xNAB8GUPWlYIxJIwyTIbqBUIGU4bj5fJ7Db69fv17VkJmZGVZus9ksq6GkRJZKJVYVjTGsHpPCura2xuGBa2trVsIyqcDRPrRsZWWlqv52MpnkRFdS4SNFOJlMshq6uLhole5yk6xJtTUWi1WVBevr62N1OZvNstItQ8pJFaRxJHzqCqkx2WzWSiIWFXYN2Ao+nXd9fd2rSNGy06dPc0j6xsYGt9stEweEKjIlPJP9l+MuFXxS1YEdhZvGIAiCquRosl2Af3oAjVulUrG2pZB/eU/SveEmvXPLk8l67qRyA+F4PvTQQwB2kuCtrq5a2+wze7ZjINqWZTQG/U1Kn1sGjZZFRZ3Q70YUbtH2hrd1kSHf7mf32LtNpNYJNNqHZkP/a42RGx0i66H79mn1OMvoCmqXjAiiz8Vi0apFTp9pfbP3b5O07H+yoigHitqyonQQLXW6jTExAL8J4DtBEFzZXjwKYCsIgiVn85ntdT6+AOCX3IWlUgljY2P8sH7v3r2qrORDQ0PsDN25c4cdoLW1NXasfBm45XxjcvDi8TjvH4vF2AHY3NxkZ5wcBDe01/1b1uGWc8kp5Hx6etqqxSxDyR9++GEAwKVLlwCETiy1K5vNVmV1np2d5YdNOQebQqTdMZCh1b4M2HT8qakpqwa4+0ArHfbx8XGeqy0d2VoPwe4UABrjpaWlqtBhOZf9xIkTeO+996x9ALtmt8xi7zrYsViMr/ng4CA72DRey8vLljNPbaGXNC70oieTyfCYyPuIlsmXDORob21tWfcBOZpdXV1VL5a6urp4fTabxdLSUpVTvxv20Y6BCFuuVCrWi59SqcTjIpdLB1zmYqDlMrz8MBxaeS7fCyu3Le4cYLfdvj745g3vdQ77Qc+Bj+oDrfe1q958afccLq3qo2y3rNDgq4Yg72m6f2W75AsEsuX9dMBb/T9ZUZSDQW1ZUTqPVmcv/wqACwgTOuyFX0P4Ro9+JvZ4PEVRGme/7BhQW1aUw0T/JyvKg4HasqJ0GC1Tuo0xzwH4JICPBkFwW6yaBpAyxvQ5b+NGttdVEQTBJgCOGZZhzHfv3uW/x8bGWJ2mMNv5+XlWcbPZLKsH+Xy+KkQ4nU6z2plIJHg/ykxeKBRY3a5UKlYYM4U+y22JTCbDSbxo+cbGhqXOktoqVeYTJ04AAN577z0rvFxmwwZs1X5tba1K/cnlclbSHkIeR9aNJmV2dXWVzysVbxrDvr4+qw9uYjWZhE2qsjIxllRxSYn2JZs6fvw4bt68WbUtKUMyVF4mapPHotrc7733nhURQe2kaz80NORNuCdVVnl9Cep/Lpfj9eVy2Yqu8HHmzBkAYcg7TXWgbaVSPTQ0xJEKMlqA7vnV1dWqaQp7ZT/tGIi25Xg8bql5xhhWuOW4R4Xq+lTQvaqazSQ3i1Jp3ba4Kq9cDlSHS/vO3YiCXovd1Pneb2r1wVW33cz0tNx3HLdvvmsQxW6VcLmPnP7gtlFGtbj3upwWQex3ErqD+p+sKEprUVtWlM6kFSXDDIDfBvD3AfxYEATvOpu8CqAI4GMA/mh7n0cAHAfw3WbPd+rUKZ7/evfu3aqM3xcuXMCVK2HkjXx4z2azVXOfi8Uih/VKB4kcqFwu53Wc5HJ6UBodHeUHq/n5eW4j0dXVxeHKmUyGnTw6/+LiojVvWYan+x5YyTmT68hpkeW0hoeHuT9DQ0M8z1k6rfIhks4r58/SOZaXl63zDQ8PA9hx5qVDfebMGZ47TU7i+vo6zp07BwB49dVXeTk5zTIUfnFx0SoH54ZyJxIJ7oN0VOX1ktdfhoq7Wdfly4j+/n7+J0THLRQK1jnc0M9CocAP3F1dXRyCb4zB3NwcXGh++eDgIDv5NN7pdJpf5Mg56bQ9sPNiIJlMWhm998JB2zGVTaJ+y0zlhAzZlSG3qVSKr0e9EOVm2KsjKh3HKGfcdbaiHK1GXgBEOaLuOdth/nij5c3K5TL3SzrSvj5GlQTzOfM+mpmSEHUsuj8TiUTV90KlUrG+R+VnOb9bnoN+x2KxXYeYH7QtK4rSGtSWFaWzaYXS/RUAPw/g7wFYMcbQPJL7QRCsB0Fw3xjzewC+bIxZALCM8Evku5pZUVHaBrVjRXkwUFtWlAcDtWVF6WSCINjXHwBBxM9nxTYZhF8eCwDWENYQHG3iHD0AglgsZp0jnU4HFy9eDC5evBjk8/kgn89XtePChQvBhQsXotrIP11dXfwxsRqYAAAgAElEQVS5p6cn6OnpCQAEiUQiSCQSQS6Xqzp3Op32HiuZTAaDg4PB4OAgb5fJZHi9MYY/x+PxIB6PB4lEIojFYtxH2YZcLhfkcjlrveyvXA4gmJiY4M+Tk5P8OZFI8Ofjx48Hx48fDwBwWwEEY2NjwdjYmHXMo0ePBkePHrXOZYwJhoaGgqGhIavvxpjAGGONTSaT4f7LY01OTlrt++AHP8ifR0ZG+DNtL49PY1Prp7u7O+ju7g5yuVwwMDAQDAwMWGNL7UqlUt796drTNU0mk8Hw8HCQSqWCVCrlveey2WzNYx05csRaTseiv/v7+617g9o4Pj7Oy+W1kddO7NvTjnYsbVnei+4Y0TV27yt3rHz3nbtfq3+k3UWdX14v2c69tpW+Ow6yv/v5U28MZP/c7zja3zfGB9lG+SO/L9z2yevku/eTyWTUcdvSlrFtx/qjP/rT0E/Tdqy2rD/605Y/TdlyK+p0150QEgTBBoBnt38URWkz1I4V5cFAbVlRHgzUlhWlszFBG8zvaxZjTA+A+0A4N5eST92/f58TmhG5XM4q2eRLxjU0NAQgTCJGc4Vl8jGa+93f32/NUyZisZhV/guwy4v5OHLkCM/RDYKA53JTcrdSqcRzdldWVuqWfpJziN35zj09PXxcOe8xl8vxfjLxFs0Fz2QykWWwfNCcbLeOOBCWDKP5zLIvvn1oDnRvby/Pr04kEnyd5Rx14siRIzy3OZ/P8/GoZJg8Zzwet0o0uWQyGb6PhoeH+TpRYru7d+9W5QNwoXnY6+vr3O5yucz7+WpMS8bGxgCE88tPnjwJAFXl8J5++mkAwEsvvVS1v1PLvDcIgurC4m2AtGXATrLnXptEIsHL3HGrNZ/ZN9d3P8tHucfyJfOS62u11be/RCZac49b657a73JZtdrYyLnkfOVm8w9EHV8ub3W5uKj54/VKvMlEaxLfcrqesVhMLm9LW3btWFGUmrSlHQNqy4rSJE3Zckc73clksurh/Pjx4wB2Emitrq6yo9Pb28sPpOvr694Hd/mARA9Vo6PhtJnp6WkrmZeEHEVfbVZgx7EnB87NUkzIBF9uLWo6D7WRHMMgCKzM35SAjNrU1dXF55IZ22UiNZkdXUJZ0Wn/QqFgtVFmPZfJ2GT7XGgMS6USf56fn69ywI8ePcrt29ra8maG9zka8oHY53QDOxnD3377bXaK6dq5D8S1iMViVfXcu7u7rXGWD+LUXmrX0NAQZ4bv6+vjtrgJAYHwJcnk5CQA4OrVq1Xrn3zySbz66qv8t7i+HfEPXiZEA3acFRozeV3cZGQ+B8iXqCrq+26/nLTdZsv2OeIyAZvcjrZpxpHeb6d7v4gag71ej3rXQR5/t+eq93Kl1kuQqBdIbq16D21py/qgrihN0ZZ2DKgtK0qTNGXLra7TrSiKoiiKoiiKoijvWzpa6Sa1mMLH8/m8VaOZOHv2LICd2t1AqAKTwkBhw++88461n6us9vT0sIKeSqUspZkgtXdjY4NVy/X19ciwQjoWradzBUHAJbjm5ua4j2tra1WloqRiPT4+XlWezIXU60qlwv0ZGBgAEJYIk8q+LGEG2CH2bgm1U6dOAdgZx+7ubg5blyHbdP6VlRXudxAEVcrOwMCAVSqNlHupANIxL168iEuXLgEI63HTfUDnWl1d5b4sLCxERiw0guy3LGNFypYsZyWJujakXt+4cYOXSdVfXg/iyJEjrLTJe54iD0qlkuxbx71V95VcouVAqA5GhV8Ddg3sBtrQ0tDrqPDz3YRWu+epFdZ+WOx3OL/bL18EgHuO/VCy67XJd65a6raMpJL3diwW80ZzEPI7Bm1qy6qOKUpTtKUdA2rLitIkTdlyK0qGHRjlchldXV3sAEkHkMLMZ2ZmLGebSKfTHAIsnW1ygIrFYpWDtLGxYYWnkwOQSqXYWSYnsKurywqDdpE1maXzOzIywu2Wdapl2KF7XBnWLfehMHAZXruxscGO8PDwMJ/3oYceAmA7pED1g6o899ramuVAuyHc/f39fK7x8XEeZ2rXysoKjhw5AgCYmpqqci4XFhaslxj0YFooFPiFBnH9+nX+TI48sOOEBUHATjuw45yurq7i2LFjAMBh3hL5QoPaOjc3Z71QoQdpujfkywYZfj41NeUN4ydn++jRo7ycQuzlnPLu7m52ZmQtcerv6Oio1Yfe3l7v/Pp2RL6UAaqdEvrtc8SpjjFgOzv1nNsoB6mZWs2+7erNK/a1laj3skGuk7kJ5EuGevkCosal1n5R02HIpmSOA9/c5SAIIq9jrTnuUePRTD32Vr1Q8bWbxshxlHk7Oe2Fvi/lcpkbhNYXi8WqqReKoiiKonQWGl6uKIqiKIqiKIqiKC2io5VuwFZYstksh2FTlnIZupdIJDhkfHFxsUqpGB0dZWVwcXGRQ65JZZLqYn9/PyfO8ikphULBUm5d1UOGNVNCOPccdP7V1VVLsSQ1nBTS27dvsyIsVSFSDlOpFJ9vYmICt2/fBhCGSVNGcVoG7CR9u3btWlWSsFgsxu1aXl62sp7T2BM0vm5/pTLvU6WJRCLBfZCKs9yWlCEZ5SCvByUsc88lIwcoaRmp19lslsPa5TnltaFz5HI5VreorXJMKpUKh+OnUilWsmWCt9OnTwOws5PLqQWEPO7Y2BhHSpACduvWLR6XZDLZMSo3YN+rgJ34jsbaVTyl/boqrFRmo0KwaX1URvB6WcZ3q6DWCimXCcAkdF3lGJRKpSqbkduWy2WvQk7ncMPAo85N2/qU7ij1Vdo+EdVvtw9uMjnfcahfcttGErA1mnW9kSgGV52W6nexWKw5zUCOmzGm6vpubW1ZUT4RSdUURVEURekQVOlWFEVRFEVRFEVRlBbR0Up3IpGAMYYVmIGBAZ6H7av/nEwmWXWUc6pJAZWJqo4dO8aqJB0/n8+zYru8vMzKqJznPDExASBUT+XxaFtSONw5kO52hUKBFeebN29ayqdMuAVUz4clSF2X85+lqiTnf9Nc9unp6chSX7SPLElG87MXFhaq9pM1zaVKJsthSYVaJk0DbGVaKs7AjnpEvzOZDB9LqsNSYafr7Z5L9oH6SMi5lKSuGWNY1ZfHJKSiJZOubW1teZOmSYWbrpXsA41DX18fL7979y63R97rNM6JRCLyvmhX4vG4tyxYVEIyqTTStrRM5jGQ+/nqJ5fLZe985t2U5vK1u9n1PnxKZzwe96rTctuoBG5Rx4zCPQ/9TfegG8njU8DpPnYVb/p7PxLfucvdbWudw5cIrdY8cd+21BdfMjm3nJjsN10LOReebHevCfcURVEURTl8Otrpdh8ap6en2WmhhxSZ0GZjY4MdFOks0fp8Ps+Zwd977z12rMhB3tzctLJ5k7Pd3d3ND5kyTFtmHJeOHGBn2JYOuHTgZQI46ZzKTOOyr7IvwI5TIV88yEzX3d3d/Ld8QSAdNZmtHQgfpmUSMWoLUF1buquri88tHX9KvlYoFPjz3Nxc1Ril02lrmcyOLscDCF+S0HgNDg5yW2QGermPTKrmJqbr6+vjMZBjQQ7GxsYG3z8TExMc9k19DYIAFy5cAABcuXLFSjZFzrZMmEfE43HuL4WW9vf3c1/m5uas+4/ufzpvb28v90XeU51CVJ1j6qfPoSJcpyQej/P2PofFrXfthgr7ztcojSZgawSy4ah9fI6zDIv3OZy+lxG0Pe0f5Ri7x/L1NZFIeB1pN8v/bgmCoOFr08w1lCH0cgyjphnIF1yAfS3kfr6xKpfLVevdYxCJRMKb1VxRFEVRlM5Bw8sVRVEURVEURVEUpUV0tNINhAqqrNlMKo4s2UThw8vLy1b4KJXGooRn165d43DkkZERVgtJ4VhfX7fCJinke2FhgUPBKQy6XC5XqbHAjsoklfa+vj5OVCbLV5FCWigULDXEDcOWbZJJoaRqQ32YmJjgcGaZGIza74auu2HdwM64bWxsWOHbJ0+eBLCj0Es1WZaykkqXVJlJ3aVxdxOiUckxX8inVIylai+3k/XNZei6qy4ZY1jhlmMnk33RMhnZQMc8deoUrly5wstJnZbtovYODAzwOMlIATrX3bt3LVXcVy+dohDcxGnpdLqjFG95HXxtd+sz+0KnfeW4pE1I1VKGB/vqOtcrD1WP/awPHaXW+8Kg650vqg++GtJElNLuS3QWleAt6li+hGSNtrXZsGvfOZqZWlArnF9+V/iiBdz71xeNJafL0HeAqtyKoiiK0vl0vNMdBAE/nGSzWXZAyJmrVCrWQyQ5ifl8np0kOaeWajEXCgUrWzQQOlOypjfNr5Wh4hKqBV0oFPgByxcqKx/k5DxoCoVfXFy05hXLMGeCHOFKpcLb0rLNzU0+v+yrzOwtnUfqS3d3N7dTOtdyvjGFl6+trVljA9gvB4aHh3k/6exLx9ztVz6fZ0dya2uLx2l4eNg6BhC+ECGnvVwu84OqfCFBzu+9e/ese4JeutAYFAoFKzs6jZ2cLkDImty03q0LL51t4ty5cwCAH/zgB9ZyCrencZmfn+frIcdwcXGRXyYRMjy9u7u7ozMey+vmqwUtkQ6O62y7y2g7t/6zrHHtZumOyvIts5z7nL/9cLbd2tu+mtDuuWS/fW2Qx5LH8IVJy3188+2jnF46VlStcEmtcPtmQvHr4bu2MieI6zQD1ZnUfS82osLL3ftPZleX5yoWi1X3eCflYlAURVEUpT4aXq4oiqIoiqIoiqIoLaLjlW6pCMjM2qQyjI+Pc81umeXYVze6q6vLUlDPnj0LYEeplEru0NAQH0uq3BSmvb6+ziHjPlKpFCtHUt2W6rMMvf7ABz4AIEzM5QvppP746l5LhWpiYoL7KI8vFSBSW2ncJMYYjI+PAwgVb8oWX6lUWL2l0Or+/n4sLy8DsMPUZTK7WrWkZ2ZmvKrd3NxcVTh/LpfjkH1Zg1tGK0glihT62dnZqoiGUqnE4zE+Ps59lAq3zBjuJrbr6uqqSs4GAI899hguX74MYEfhHh0d5furq6uL20K/z507x9vOzc1Z56Wx9RGPx6v61QlIhZHsy6dwS6VQqpF0v8g63PK4vprf7pQM176kaimTk0m11xeeTtRKAOcua6YmuDEmUmWVfYta76q+9D0RlUjNl6DN910UlW1b2qXENyVAnreZMP1aYedR0QhRUw6AanXcF91AY5tIJKxtfap6VEQC3eNy2W5D6BVFURRFaT862ukmh0U+lMnSWkDoOPoeFo8dO8bzjGWm6jNnzgAIHUI3TPjs2bM851k6kVHOJZUPW1hY4IcqehDb2tryPmTKh2PpbMgQZQqTJmc/m83yGMiwXHJo5cPg1NQUj0F3dzc7hzLMW7bLLb0WBIEVii7ny8uwcyDMAE+cOnWKQ9tlRnIa75dffrkqe3ksFuP+HD16lF9iFAqFqrnm9OIECKcIULk3eoGwsrJivXyg9cBOWDhdQ9l/criBnTHa2tri8Th69GiV8ysd7tHRUf779ddf5+kL5IDIdhQKBTzzzDMAgBdffBFA6JzTPktLS3zeVCpV5ZRmMhkeh6WlJWSz2aoxbXdqOYzSyXSz9NNYRIWXu2HBsmSTm0na3dbNdF5rvVzeSB/r7VMve3m98G3f+qhj0Xj5yn0BjTt/vhcPsi1R8719znfUuDT7csJdJ+ft+65dVDk530uhqBJssvyXe35fyTF3G3W2FUVRFOXBQcPLFUVRFEVRFEVRFKVFdLTSTeovqaXvvvtuldoK7GStnpubs7KDu5w5cwZvvfUW/02qIYUyv/nmm6xEnDhxglVKGR4uQ42lIjw5OQlgRzGW+8hkXFI1JQX2/v37lnLkZrMdHBzkcw0ODvIxSHnJ5XLeMG6pDsvQT0oANzU1VXUuGSEA2OH9bqjpiRMnWO2WSdUocdn169etcP4TJ07wciBUlkl1u3PnjhU670Y0yFB+2Wap9EpVmdTj5eVlazkAnD59mlV5GV4qIw9ojO7cuWPVIAeA8+fP49133wVgRygMDAxUJYCT5wJ2FO7z588DCBPfyX3oXLlcjtV+N7wdsGvHdxJSSZQKNxAqh7JPNBYbGxtVqmBUojRfOLZUveW2vpDvqEzmvvreUWHRvqRovuPIbXzKcaVS8Sr/8ny1QrejEsT5iFrXzPKobWv1MRaLRSZ2k/vS/lF1w4FwjNxrIs/pq9fuZoj3JeKLSsInw/VpOxm9QfeyjEhxE7e5yxRFURRF6UxU6VYURVEURVEURVGUFtHRSnd/fz8SiQTefPPNqnWkRK6urlpqJ6m0vb29rC6TUihV7vHxca6bLBVrUipu3brFCkQmk2FVmpJ5yTrK8hikjgwODnJirv7+fm4LlflaXV21VGSp4Lvq8507d1gVkfW/Calyy7JTUpn2qYLAjspC27qRBNTehYWFqnbJtpw8eZKVWFkLvKuriz+Twk3IpHLJZJLnVBeLxap51L29vTyeuVyuqp3d3d18jaanp/lc2WyW20DtlcqzVK4oMkDWJ/fNm7569ar1NyWem5qaspLQueeS9XrpGF1dXVapMjqXVOhoXGS990ql0nH1fd35ta4qLVXunp4e6x6g8fAlDpMKpFwepQL7FOpa6rZMwCWP51O/ZRtku3xz0uV+Ucqx7xo3Oi94P8pxRc2hrjWX3Fe/GvCXKosqeRYVJeCewx1jd862G8XgizTwzeMulUpVZdFkvXf3GAT1MZ/P83fI+vp61fzwSqWiCreiKIqiPEAcqtNtjHkWwL8BMArg+wD+eRAELze6/8rKCkqlEoeZbm1tWYmkCF/24/X1dX6okYmvaH+ZQIuW9fT0sHMsnZpSqcQO28jICIDqjOZu4q+lpSV+WLt58yaHvZOjn81mrXDhixcvAgAuXbrkHQtyHIMgYOeTHOKhoSF2dOWDLTlzst23b9+2HvZoG3oB4CZBkiHfbsbuhx56CK+//jr3kaDpAG+88Ya1DyWIo2snnapiscjXOZPJVNWxlSHiMms3Oe6rq6vW8rGxMQDhdfYlcJNjIF+EAKGTS/eUfPimkHeZub63t9e6l+RnwM5eLh0omQBOLqPrPDMzw32jewawa4lHZVHfb/Zqx4Rb+9h1wmKxGN9/8t7IZrPW9SB8iarkseQLJTfJFS0nfCHQ0jmXtZ5dhy4ej1tJyuSLAV/Nb3kOX4Z2d53bH7oft7a2vOHnvhcPlUrF+p50+xD1EkMeV74kca9dlCPuHlueg/ZzccdCJjj0ZY6X165WJnTfSxB5H8pjy7B3mezOd52ofbIqwurqqjVevkR/jdQ432/2y5YVRTk81I4VpT05tPByY8zPAvgygF8B8ATCL4bnjTFHDqtNiqI0h9qxojwYqC0rSuejdqwo7YtppPZpS05szEsA/joIgs9v/x0DcAvAbwdB8MU6+/YAuJ9Op1Eul71KiVT8iP7+flYSlpaWqhJQyfBcwK9aE1JFTCQSrJxS+PrExASfe3Nz06s4SoVUqpVAqE5TW2WYdjwerypx5SrptRLwRJWRknWvKaGZLPklS4eRwuom6nLV2ePHj7PCLZOqyXGlhGazs7M8JYCugTEGR48eBRAmnpNj6JbjGR4e5nHq6+uzogRoTKiE282bN7mta2trPE6kSG1ubrK6XSwWeb0vlDcej/PYuInM5FjQGEqli/pI/c5ms1VJ3STpdJrvsxs3blRdB2OMFTItVLreIAiii3rvgb3Y8fb2PQB4/oNPnY5SrGW4v4urFPpsIuq4PqVaquLulAtZitCn0MtpEltbW9Z1c9sgj59KpapsTKrybvi7q3TLKAzfd6S7rVSB3f3keMo+1qpxLYlKcuZTdN1611L9pePL9tF9UCwWq8qSyZBweSxpJzLRmRue7tqU7I9vuQw5d/ubTCa9deKjiFDl29KWXTtWFKUmbWnH29urLStK4zRly4cSXm6MSQF4EsCv0bIgCCrGmBcAfNizfRpAWizqBkInRDpi8mHQ5yCtra1ZD7Hug490uIeGhtjZJgdKPtQVCgV2ttbX19nZJkfenQdOjjKFSM/Pz1vhwRQ2TMd0nfBTp07xcd0H8Y2NDd6/v7+fQ5ilI02f4/E4O93j4+O8rcxkLueiE3JeuHwIpKzsN27cqHp4lseRGbjlSwwZwkvjL51yGY5NfZBzmwk5hzsej/PDrwzPlduQMywfyGV4LTng5BxLZHh7T08PO9v0oB8EAV8j6QzJMZSh8jROi4uLfB3pvk4mkzwP/MaNGzxNYHBw0HLo6bx0DQ6iRnezdry9j9eWCdexcZdJJ08623S9ab1rI254uBvu7Kvb7N5D9NmdNy5DyuX9JB0/OpZvXrEkHo97nVPpGNILJ5nhPZFI8Heez5GOcnp9YfXuZ3cMouaq+/pOYywzz8sQemkfvjn0sVisKgt4lCMtHWH5EoTa4GYPl8d0+ynHkJbJnAvS1mRf5f8U15abzbFQK/P8frNf/5MVRTk8WvE/WVGU/eOw5nQPAYgDcCXkGQBnPdt/AcAvuQuDIGj4odG3rJbK7yshFHW+Rs5Ly33HlZ+jkuf4HkzrHd/32TdftFa7fEQlaqo1vlHHrDdX1be8Xvuk8tjsPVGvDbWO6btPoo4ftd73d9QY1RqHA4pgadaOgQhb9tHM9ao33o3uH3XMWvdRI99Bjd4bUevr7d/Ifj4aXd5MH5vd37dto2NQa7nvWHu9dj6aXd4oB2TDxL78T1YU5VBp6f9kRVH2xqGElxtjjgKYAvBMEATfFcv/I4AfDYLgaWd7903cGIA3DqKtivIAMBEEwVT9zZqjWTveXufa8nEAl/e7bYrygNIWtqz/kxVlT7SFHW+vU1tWlN3TlC0fltI9D6AMYMRZPgJg2t04CIJNABz7a4xZQfjW7g0AEwBW3H2UmnQDuA0du93QaWPXDSB6ovjeaMqOAa8tU1r7ThnPdqLT7sV2ohPHrm1sWf8n7zudeD+2C502dm1jx4DacgvotPuxnei0sWvalg/F6Q6CYMsY8yqAjwH4E4CTPXwMwHMN7B8YY2jS80rQooQUDyoixFzHrkk6cOxa1sa92rFDp4xn29CB92Lb0KFj17a2rP+T90aH3o9tQQeOXdva8fYx1Jb3QAfej21DB45d0208zDrdXwbwP4wxrwB4GcC/BJAD8NVDbJOiKM2hdqwoDwZqy4rS+agdK0qbcmhOdxAE/8sYMwzgVwGMArgE4CeDIKiuz6UoSluidqwoDwZqy4rS+agdK0r7cphKN4IgeA7Nh6ESmwB+BWIuitIwOna7R8fOQe340NCx2z06dh7Ulg8NHbvdo2PnsEc7BnRM94KO3e554MfuULKXK4qiKIqiKIqiKMr7gdhhN0BRFEVRFEVRFEVRHlTU6VYURVEURVEURVGUFqFOt6IoiqIoiqIoiqK0CHW6FUVRFEVRFEVRFKVFdKTTbYx51hhzwxizYYx5yRjz1GG3qd0wxvyyMSZwft4Q6zPGmK8YY+4ZY1aNMX9kjBk5zDYfFsaYjxpj/o8x5s72OP20s94YY37VGHPXGLNujHnBGPOws82AMeb3jTHLxpglY8zvGWPyB9uTzkNtuT5qy42jtnx4qC3XRu24cdSODw+14/qoLTeO2rJNxzndxpifBfBlhGnlnwDwfQDPG2OOHGrD2pOrAMbEz4+Idb8B4O8A+DSAHwVwFMAfH3QD24Qcwvvo2Yj1/xbAvwDwTwE8DWAN4T2XEdv8PoDzAH4cwCcBfBTAf21Vgx8E1JabQm25MdSWDwG15YZRO24MteNDQO24KdSWG0NtWRIEQUf9AHgJwHPi7xiAKQD/7rDb1k4/AH4ZwKWIdb0AtgD8A7HsLIAAwIcOu+2HPG4BgJ8WfxsAdwH8a2f8NgD83PbfH9je74Nim58EUAFw9LD71K4/assNj5Pa8u7GTW354MZabbn+GKkd727c1I4PbqzVjhsbJ7Xl3Y3b+96WO0rpNsakADwJ4AVaFgRBZfvvDx9Wu9qYh7dDOq5vh2Yc317+JIAk7HF8A8BN6Di6nAQwCnus7iP850Rj9WEAS0EQvCL2ewHhl8LTB9TOjkJtuWnUlveO2nILUFtuCrXjvaN23ALUjptGbXnvvO9suaOcbgBDAOIAZpzlMwgvnLLDSwA+i/CN0D9DeHP/P2NMN8Kx2gqCYMnZR8exGhqPWvfcKIBZuTIIghKABeh4RqG23Dhqy/uD2nJrUFtuDLXj/UHtuDWoHTeO2vL+8L6z5cRhN0BpDUEQfE38+box5iUA7wH4hwDWD6dViqI0i9qyonQ+aseK8mCgtqzslk5TuucBlAG4WQBHAEwffHM6h+23bm8BOI1wrFLGmD5nMx3Hamg8at1z0wCsRCPGmASAAeh4RqG2vEvUlneN2nJrUFveBWrHu0btuDWoHe8SteVd876z5Y5yuoMg2ALwKoCP0TJjTGz77+8eVrs6ge30+qcQJi14FUAR9jg+AuA4dBxd3kVo2HKsehDOJaGx+i6APmPMk2K/v4XQvl46oHZ2FGrLu0dtedeoLbcAteXdoXa8a9SOW4Da8e5RW9417z9bPuxMbs3+APhZhJnt/jHCrHb/BcAigJHDbls7/QD4TwhLFUwCeAbA/wUwB2B4e/3vIAyH+ZsIEz+8CODFw273IY1VHsDF7Z8AwL/a/nx8e/0vbt9jfxfAowD+BMB1ABlxjK8BeA3AUwA+gvCt5x8cdt/a+UdtueFxUltufKzUlg9n3NWW64+R2nHjY6V2fDjjrnbc2DipLTc+VmrLcjwOuwG7vIif376hNxG+6Xj6sNvUbj8A/ieAO9tjdHv771NifQbAVxAmI1hDWENw9LDbfUhj9WPbXwbuz3/fXm8A/CrCN3IbCDMnnnGOMQDgDwCsALgP4L8ByB9239r9R225oTFSW258rNSWD2/s1ZZrj4/aceNjpXZ8eGOvdlx/jNSWGx8rtWXxY7Y7pCiKoiiKoiiKoijKPtNRc7oVRVEURc9z7TAAAACsSURBVFEURVEUpZNQp1tRFEVRFEVRFEVRWoQ63YqiKIqiKIqiKIrSItTpVhRFURRFURRFUZQWoU63oiiKoiiKoiiKorQIdboVRVEURVEURVEUpUWo060oiqIoiqIoiqIoLUKdbkVRFEVRFEVRFEVpEep0K4qiKIqiKIqiKEqLUKdbURRFURRFURRFUVqEOt2KoiiKoiiKoiiK0iLU6VYURVEURVEURVGUFvH/AXgviT96cnrdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1200x400 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4), dpi=100)\n",
    "plt.subplot(141)\n",
    "plt.imshow(rec_art, cmap='gray', origin='lower', vmin=0, vmax=1)\n",
    "plt.title('ART')\n",
    "plt.subplot(142)\n",
    "plt.imshow(rec_sirt, cmap='gray', interpolation='none', origin='lower', vmin=0, vmax=1)\n",
    "plt.title('SIRT')\n",
    "plt.subplot(143)\n",
    "plt.imshow(rec_mlem, cmap='gray', interpolation='none', origin='lower', vmin=0, vmax=1)\n",
    "plt.title('MLEM')\n",
    "plt.subplot(144)\n",
    "plt.imshow(discrete, cmap='gray', interpolation='none', origin='lower', vmin=0, vmax=1)\n",
    "plt.title('truth')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quality Metrics\n",
    "\n",
    "Compute local quality for each reconstruction using MS-SSIM, a convolution based quality metric."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "quality = list()\n",
    "for rec in [rec_art, rec_sirt, rec_mlem]:\n",
    "    scales, mscore, qmap = msssim(discrete, rec)\n",
    "    quality.append(mscore)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the average quality at for each reconstruction. Then display the local quality map for each reconstruction to see why certain reconstructions are ranked higher than others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAADYJJREFUeJzt3X1sXfddx/H3pwnhqRWCxX9MeaijEYGirSqrSUECto5OpCpKJq1AIiEWaRAhLWJQkEjVqazhn21MG5rIpEZQ0T3hdgUmQ83CBC1iEytxIWqVVileSEnCALcbQ2WjJezLHz7Z7hynPo6v7eSX90uyes+5v9z7dW/9zum5D05VIUlqyzWrPYAkafiMuyQ1yLhLUoOMuyQ1yLhLUoOMuyQ1yLhLUoOMuyQ1yLhLUoPWrtYdr1+/vkZHR1fr7iXpivTEE088X1UjC61btbiPjo4yNTW1WncvSVekJM/1WedpGUlqkHGXpAYZd0lqkHGXpAYZd0lqkHGXpAYZd0lqkHGXpAYZd0lq0Kq9Q1VXl9EDj6z2CM069Z7bV3sEXYY8cpekBhl3SWqQcZekBhl3SWqQcZekBvWKe5IdSU4kmU5yYJ7r9yaZSXKs+/rF4Y8qSeprwZdCJlkDHALeDJwBjiaZqKqn5yx9sKr2L8OMkqRF6nPkvh2YrqqTVfUyMA7sWt6xJElL0SfuG4DTA9tnun1zvTXJk0keTrJpKNNJki7JsJ5Q/TNgtKpuAD4DPDDfoiT7kkwlmZqZmRnSXUuS5uoT97PA4JH4xm7fN1TVC1X1Urf5+8BN891QVR2uqrGqGhsZWfCXd0uSLlGfuB8FtibZkmQdsBuYGFyQ5NUDmzuBZ4Y3oiRpsRZ8tUxVnUuyHzgCrAHur6rjSQ4CU1U1AfxKkp3AOeBLwN5lnFmStIBenwpZVZPA5Jx99wxcvgu4a7ijSZIule9QlaQGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJalCvuCfZkeREkukkB15h3VuTVJKx4Y0oSVqsBeOeZA1wCLgN2AbsSbJtnnXXAe8EHh/2kJKkxelz5L4dmK6qk1X1MjAO7Jpn3W8D7wX+Z4jzSZIuQZ+4bwBOD2yf6fZ9Q5LXA5uq6pEhziZJukRLfkI1yTXAB4Bf77F2X5KpJFMzMzNLvWtJ0kX0iftZYNPA9sZu33nXAa8FHktyCvgRYGK+J1Wr6nBVjVXV2MjIyKVPLUl6RX3ifhTYmmRLknXAbmDi/JVV9ZWqWl9Vo1U1Cnwe2FlVU8sysSRpQQvGvarOAfuBI8AzwENVdTzJwSQ7l3tASdLire2zqKomgck5++65yNo3Ln0sSdJS+A5VSWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWqQcZekBhl3SWpQr7gn2ZHkRJLpJAfmuf6XkzyV5FiSzybZNvxRJUl9LRj3JGuAQ8BtwDZgzzzx/kRVva6qbgTeB3xg6JNKknrrc+S+HZiuqpNV9TIwDuwaXFBV/zWw+d1ADW9ESdJire2xZgNwemD7DHDz3EVJ3gHcCawD3jTfDSXZB+wD2Lx582JnlST1NLQnVKvqUFW9BvhN4F0XWXO4qsaqamxkZGRYdy1JmqNP3M8Cmwa2N3b7LmYceMtShpIkLU2fuB8FtibZkmQdsBuYGFyQZOvA5u3APw1vREnSYi14zr2qziXZDxwB1gD3V9XxJAeBqaqaAPYnuRX4X+DLwNuWc2hJ0ivr84QqVTUJTM7Zd8/A5XcOeS5J0hL4DlVJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QGGXdJapBxl6QG9Yp7kh1JTiSZTnJgnuvvTPJ0kieT/FWS64c/qiSprwXjnmQNcAi4DdgG7Emybc6yfwTGquoG4GHgfcMeVJLUX58j9+3AdFWdrKqXgXFg1+CCqnq0qr7abX4e2DjcMSVJi9En7huA0wPbZ7p9F/N24C+WMpQkaWnWDvPGkvw8MAa84SLX7wP2AWzevHmYdy1JGtDnyP0ssGlge2O371skuRW4G9hZVS/Nd0NVdbiqxqpqbGRk5FLmlST10CfuR4GtSbYkWQfsBiYGFyT5IeA+ZsP+H8MfU5K0GAvGvarOAfuBI8AzwENVdTzJwSQ7u2W/A1wLfDLJsSQTF7k5SdIK6HXOvaomgck5++4ZuHzrkOeSJC2B71CVpAYZd0lqkHGXpAYZd0lqkHGXpAYN9R2qktoxeuCR1R6hWafec/uy34dH7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUIOMuSQ0y7pLUoCvyNzH5G2KWz0r8hhhJy88jd0lqkHGXpAYZd0lqkHGXpAYZd0lqkHGXpAYZd0lqUK+4J9mR5ESS6SQH5rn+J5L8Q5JzSe4Y/piSpMVYMO5J1gCHgNuAbcCeJNvmLPsXYC/wiWEPKElavD7vUN0OTFfVSYAk48Au4OnzC6rqVHfd15dhRknSIvU5LbMBOD2wfabbt2hJ9iWZSjI1MzNzKTchSephRZ9QrarDVTVWVWMjIyMredeSdFXpE/ezwKaB7Y3dPknSZapP3I8CW5NsSbIO2A1MLO9YkqSlWDDuVXUO2A8cAZ4BHqqq40kOJtkJkOSHk5wBfga4L8nx5RxakvTKen2ee1VNApNz9t0zcPkos6drJEmXAd+hKkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1CDjLkkNMu6S1KBecU+yI8mJJNNJDsxz/bcnebC7/vEko8MeVJLU34JxT7IGOATcBmwD9iTZNmfZ24EvV9X3Ax8E3jvsQSVJ/fU5ct8OTFfVyap6GRgHds1Zswt4oLv8MPCTSTK8MSVJi9En7huA0wPbZ7p9866pqnPAV4BXDWNASdLirV3JO0uyD9jXbb6Y5MRK3v8qWg88v9pD9BFPqMEV9HiBj1nnanrMru+zqE/czwKbBrY3dvvmW3MmyVrge4AX5t5QVR0GDvcZrCVJpqpqbLXnUD8+XlceH7ML9TktcxTYmmRLknXAbmBizpoJ4G3d5TuAv66qGt6YkqTFWPDIvarOJdkPHAHWAPdX1fEkB4GpqpoA/gD4aJJp4EvM/gUgSVol8QB7+SXZ152S0hXAx+vK42N2IeMuSQ3y4wckqUHGfQiSvCVJJfnBbns0ydeSHEvydJKPJPm2JD/V7TuW5MXuIx2OJfnIan8PV4skdyc5nuTJ7t/9zUkeSzLWXX8qyVPd9X+T5Pokrxp43P4tydmB7XWr/T21pvtZ+tjA9tokM0n+vNvem+T35vlz5x+784/Nh7r9f5jkq0muG1j7u939rF+J72k1rOjr3Bu2B/hs98/f6vZ9oapu7D6+4TPAz1bVx5l9YpokjwG/UVVTqzDvVSnJjwI/Dby+ql7qfrDni/MtVfV8knuBd1XVLwE3drfxbuDFqnr/Ss19Ffpv4LVJvrOqvga8mQtffn0xt1TVfK93n2b2nfQfS3IN8KZF3OYVySP3JUpyLfBjzH6+zgWvEqqq/wP+ngvf1auV92rg+ap6CaCqnq+qf32F9X+Hj9tqmQRu7y7vAf5oibc3Dvxcd/mNwOeAc0u8zcuacV+6XcCnq+pZ4IUkNw1emeQ7gJuBT6/GcPoWfwlsSvJskg8necMC63cAn1qBuXShcWB39/NzA/B4zz/36MBpmV8b2P8sMJLke5n9y2J8uONefoz70g3+hzLebQO8Jskx4N+BL1bVk6sxnL6pql4EbmL2IzBmgAeT7J1n6aNJzjL7SahLPWLUJeh+XkaZ/XmaXMQfvaWqbuy+Pjjnuj9h9v+ubwb+diiDXsY8574ESb6P2XN3r0tSzL7Jq5j9iOTz59zXA59LsrN7w5dWUXea7DHgsSRP8c13Vg+6BfhP4OPAvcCdKzagBk0A72f2NMowPojwQeAJ4IGq+nrrH1zrkfvS3AF8tKqur6rRqtoE/DMDn8XTPblzALhrlWZUJ8kPJNk6sOtG4Ln51nafbvqrwC90f4lr5d0P3FtVTw3jxqrqOeBu4MPDuL3LnXFfmj3An87Z98dcGPJPAd+V5MdXZCpdzLXAA93LU59k9pfPvPtii6vqi8yelnnHyoynQVV1pqo+dJGr9yY5M/C1sds/eM79gpcYV9V9VfWF5Zv68uE7VCWpQR65S1KDjLskNci4S1KDjLskNci4S1KDjLskNci4S1KDjLskNej/AWlxKoHkXSnaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.bar([\"ART\", \"SIRT\", \"MLEM\"], quality)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}