{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:02:25.436409Z",
     "start_time": "2021-06-16T12:02:25.434430Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:24:26.401623Z",
     "start_time": "2021-06-16T12:24:26.398960Z"
    }
   },
   "outputs": [],
   "source": [
    "pfm = pd.DataFrame(np.random.randint(10,1000,(10,4)),columns=list('ACGT'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:35:41.780228Z",
     "start_time": "2021-06-16T12:35:41.774502Z"
    }
   },
   "outputs": [],
   "source": [
    "pfm = [[0,0.8,0.2,0,],\n",
    "      [0,0.2,0.8,0,],\n",
    "       [0,0.8,0.2,0,],\n",
    "       [0.3,0.3,0.4,0,],\n",
    "      [0.2,0.4,0.3,0.1,],\n",
    "      [0.0,0.2,0.8,0.0,],\n",
    "      [0.0,0.8,0.2,0.0,],\n",
    "      [0.0,0.2,0.8,0.0,],]\n",
    "pfm = pd.DataFrame(pfm,columns=list('ACGT'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:36:01.925022Z",
     "start_time": "2021-06-16T12:36:01.918536Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>C</th>\n",
       "      <th>G</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.3</td>\n",
       "      <td>0.3</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.2</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.3</td>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     A    C    G    T\n",
       "0  0.0  0.8  0.2  0.0\n",
       "1  0.0  0.2  0.8  0.0\n",
       "2  0.0  0.8  0.2  0.0\n",
       "3  0.3  0.3  0.4  0.0\n",
       "4  0.2  0.4  0.3  0.1\n",
       "5  0.0  0.2  0.8  0.0\n",
       "6  0.0  0.8  0.2  0.0\n",
       "7  0.0  0.2  0.8  0.0"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pfm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:24:27.527251Z",
     "start_time": "2021-06-16T12:24:27.523268Z"
    }
   },
   "outputs": [],
   "source": [
    "import seqlogo\n",
    "def logo(a):\n",
    "    pfm = a.copy()\n",
    "    a = pfm.sum(axis=1)\n",
    "    for allele in 'ACGT':\n",
    "        pfm[allele] = pfm[allele]/a\n",
    "    pwm = seqlogo.pfm2pwm(pfm.values)\n",
    "    pwm = seqlogo.Pwm(pwm)\n",
    "    ppm = seqlogo.pwm2ppm(pwm)\n",
    "    ppm = seqlogo.Ppm(ppm.values)\n",
    "    a = seqlogo.seqlogo(ppm, ic_scale = True, format = 'png', size = 'large')\n",
    "    cpm = seqlogo.CompletePm(ppm = ppm)\n",
    "    print(cpm.consensus)\n",
    "    return a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:35:47.314660Z",
     "start_time": "2021-06-16T12:35:47.163536Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CGCGCGCG\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logo(pfm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-16T12:36:27.014357Z",
     "start_time": "2021-06-16T12:36:26.899173Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CGCG\n"
     ]
    },
    {
     "data": {
      "image/png": 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GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP68lf1HhmG4ubkpIvfv3799+3b2DwAAALxjDAYAAPhz6eXLl1qf3Ww2RaTVamk9AAAAcIoxGAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD9vZf+RYRhubm6KyP3792/fvp39AwAAAO8YgwEAAP5cevnypdZnN5tNEWm1WloPAAAAnGIMBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAPzQYAADgDw0GAAD4Q4MBAAD+0GAAAIA/NBgAAOAPDQYAAPhDgwEAAP7QYAAAgD80GAAA4A8NBgAA+EODAQAA/tBgAACAP29pP0BB9XqH/7e7+/pvdrsiIrXa678zPy8iEgTZPhyy9zQUEXmy+frv7HdFRKYGfje8PStXynKtKteq2T4cskAmAKO69PLlS63PbjabItJqtbQeIEvdrnS7sr0tvZ5sbY38Py+VpFaTWk1mZyUIpFxO4RGRpaehPNmUZz3Z78rzvZH/59fn5FpV3p6VqdobLQd+kAnAhGgwKYoi6XRke1vCUPZG/5I6x8yMBIEsLLzxcgbrDiJ53JEnm/L1vSR/2MsluVmXt2flZl2u8D1mGpkAJIgGk4pOR+7elXuJfk+dqlKRel2WlqTKxIJlj9rJF5dTvXtH3pmX9xupfxBGRCYAiaPBJCmKZHVVOp2E366GMTcnCwvS4JvLlINIvlyVR2150c/0c+NRmY9WWDGjjkwA0kODSUavd5hT/Wy/qo6pVGRpSRoNJsW1PevJl6uyu6H8GNfn5KMVucGyTwVkApA2dlNPKoqk2ZTpadnYUI4qEdnbk5UVqVYlF7XQp4NIHjblt9P69UVEvtmSP87LVnC41wmZIBOAbNBgJtJsSrUqa2vaz/Gmfv8wszod7Ucpmr+25DdV+crYb4i4xzxoyLOe9qPkH5kAZIYGM6YwPMwp9Xess+ztycKCBIH0+NrKwH5XPq/JX1ayXvIyvN0N+bwmD5vaz5FbZAKQMRrMyOIh4vl5haV5Y9jaklqNAeSUPWzKH2Yl2tF+jou86MtXa/J57fC4PCSETABU0GBG0+1KrWZuiPh88QAyL16peNaTz2vmpo3OF+3IH2YZjEkKmQBoocGMoNWS2Vkfr1knxS9ezIIn6VFbPq85GHo5VTwYw8qYyZAJgCIazFCiSOp1WVnRfo7J9PuysCBN3r0T8bApf16yu+plGNGOfF6Tx3yDjYNMANTRYC7W7UoQZHGYZjbW1iQIJIq0n8Ovg0i2AmczR2d50ZcvFuSvrIkYDZkAWECDuUAcVTs+JwrOsrUlQXB47S1G86wnW4F8M/pFfJb9ZUUecHTrsMgEwAgazHnabQkCu3sjJ7GzQ2CNLt4y7XThy/nivdYHvIZfgEwA7KDBnKndlqWlfEZVrN+XIGAd39D2u7IV+F74cr5oR7YCSsw5yATAFBrM6eKoyr14HV+7rf0c9uW+vsQoMWcjEwBraDCnKEhUHVlaIrDOVZD6EqPEnIZMAAyiwRxXtKiKEVhnKlR9iVFi3kQmADbRYN5QzKiKLS2xiO+EAtaXGCXmFTIBMIsG81q3W/STndiJ8Ib43JcC1pdYXGKKjUwgE2AZDeZQfMZDjncZDCPeicBVKSKFry+xaKfI58SQCUImwDYajIhIFEmjUfSoivX7Uq9zOqfIg0Y+z30Z1e5GMe+AJBOOkAkwiwYjIlKv5+2EzUns7Ei9rv0Quh425eu8nBg/ua/W5FHhlnSSCYPIBNhEg5FmU7bydUb85La2Cjz9/6idkzuPEvSwKfsFWg1BJpxU6EyAVUVvMO22rPFtdZq1tULupdzvFnPS5AIv+vKnekG2JpEJZyloJsCwQjcYNhqcr9ks2DaEg0j+VC/66t2zPN8rwqpeMuF8hcsE2FbcBsNKvQv1+9LI/3fWgAcNeb6n/RCGfX1P/trSfogUkQkXKlwmwLbiNpjVVVbqXWxnpzCvpH9tsXr3Yn9ZyfGCGDJhGAXKBJhX0AYThkx1D2ttTcJQ+yHStt+VL1e1H8KJnM4lkQnDK0QmwIMiNpgoYmfgaPJ/GsSDBstfhhXt5G+xM5kwqvxnAjwoYoNhqntUOZ/8ftjk8LrRfLUmT3P1Dk4mjCrnmQAnFBpMGIbNZrPZbN6/fz/7T+905B6rHUZ37550OtoPkYb9Lqe/jCNHc0lkwnhymwnwo1hjMPFeA4yn0cjjuHGOvokz9XwvH3NJZMIk8pkJ8EOhwQRB0Gq1Wq3W7du3M/7o1VXGisfX78tqzla7Mn80ia/W5Jn7G//IhEnkMBPgSoHGYNhrMLlc7UF41mP+aFLOR7DIhMnlKhPgTYEaDGcYJCI/P43Ov31N+GZLHjteCpGf38yq+GmElqI0mFaLs6qSsbMjrRycy/q4I99wd18SHjad3pdEJiQlJ5kAhwrRYKKIydokra46X753EOVjFaoJz/c8HgZIJiTLfSbAp0I0GBbrJcv98r0vV7n/KEmP2u6GYciEZLnPBPiU/wbT67FYL3lra9Jzug2FBbyJe9H3NaZFJqTBcSbArfw3GFaZpcTrK5fDKQ8Hdjcc7awmE1LiNRPgVs4bTBhy2mZaNjYc7qJ8GsruhvZD5JSTakgmpMdlJsCznDcY3glS5e+n18m3rEtOhmH8/aZ1hZ9eZCnPDSYMZYsNs2na2nL1yvU0ZAd1uswXRDIhbc4yAc7lucHwNpABTz/JrlabumR+GMbTb1e3+ElGZnLbYHjZyoabV65Hba5AyoLhYRgyIRtuMgH+5bbB8B6QGR8/1Ya/WXPF8DCMj9+oucBPNbKRzwbDy1aWHLxyPWpzhF12TJZFMiFLDjIBuZDPBsMbQMbW17Wf4Hwmv1Nz63HH4BG9ZELGrGcCciGHDYaXrezdu2f4OE4GYDL2om+tMpIJ2TOdCciLHDaYu3e1n6CQ7L7j/ge/ITL3uKP9BG8gE1TYzQTkRd4aTK8nG5y5qmFjw+TltJwBo+L5njxqaz/EITJBi9FMQI7krcEw+arI4iuXsemMAjEz9EUmKLKYCciRXDWYKJK2lRe/IurYmjoQedZjAEbNN1sWtlWTCbrMZQLyJVcNpt2Wfl/7IQpsb8/YtwUDMLoM/PyTCbrMZQLyJVcNhuFidYaWTB5EXEOtzMC2ajJBnaFMQO7kp8GEoeyxZ1bb1paZLZQGBgCK7kVfd1MSmWCBoUxA7uSnwfCyZYSVtXvGNvQWlOp6XjLBCCuZgNzJSYPp9eTePe2HgIgYWbvHKXZG6K3nJRPsMJEJyKOcNBhetuzo9w2s3TOzlRfyN50/nGSCHSYyAXmUkwZDxzdFee0em6hNUZrOIxNMYT0v0pCHBtPpsF7PFuW1e0ov/Tjd8z3Z72b8mWSCNaznRRry0GA2N7WfACdovgGbOc8ehzLvlGSCQYyKIXHuG0wUcemJRWqrEB615QVHmBmT7UQSmWATK5OQOPcNhl5v096edLOeOhAR1vCalO3BMGSCTWqZgPxy32Do9WYprN1jDa9ZT7Kb1yETzGI9L5Llu8H0erKzo/0QOIPCqzBreM3KagyGTLCM4TEky3eD4c+DZQqDxpzDa9aLfjY7ksgEy5hIQrJ8NxjGJI3L9Bfoacg5vKZlskSJTDCOXyAkyHGD6XYZLrYu0xdi1vAal/4IGZlgH4NkSJDjBkOXty/TQWOmkIxL/2g7MsE+JpKQIMcNhi7vQkZfKo87HAPjwNMw1R+eTHCBoomkvKX9AGPqdvN2anipJLXa6/83inIyHt7pSKuV/sdkuFk3dVcrcq36xt/JzRbxJ5vyYTOlH5tM8CKjTEABeG0wOWjxlYoEgczOSq32Rk4dE4bS7cr2toSh9B2OMsSDxuf8BybgIPI9hVSekRuBvD0rU7Xj3WXQ01D2u/LttjwNvQ44fbMlB5FcKafxY5MJXmSRCSgGrw0mTHc0OkWlktTrsrQ07B/gIJAgOPzrTkc2N6XTcRZbYZhyWjmdQrpakR8tyc36ea1l0I1Abrz6rfC4I082Zdfh4flPQ7lZT+MHJhMcST0TUAwu18E4PbSqVJLlZen1pN0e809vvS7ttvR6srwspVLSz5ea1F+O3U0hXZ+Tn27Kr3ryYXPY+nLMzbp80pY7+/LBslz281tB0vrFIhPIBBSQywbjcb1enFOtlpQnHkEvl6XVOswsF3Z2JIrS/ICv76X5oyfqakV+uilz4evRlElcKcutlvyq56nHpLOYl0wgE1BALhvMpqtX7kpFNjeTyalBcWZtb8vMTJI/bEpSHOF3tALmg2X5VS+Z7jIo7jE/78q7dxL+kdPwfE+e9RL/UckEIRNQPP4aTBTJlp+dGYuL0u2+nrROXK0mYSiLi2n9+ElJ8QvGxRRSeUZ+ti230tyAca0qn3bk43UHgzFJl04yYRCZgOLw12AcDRevr0u7nfBr1knlsrTb1u/jLfQYzPSizIUylcnCxfcb8vOulG2/g3+7neyPRyYcU/RMQGH4azDbCadfKkoluXtXGo3sPrHRMB1Ye3vSS37qwMMupA+W5ZN2SvuHT3etKnOh6RmlpJfCkAmnKmgmoEj8NRj771ulkoSh1FPZMXoe44GVyi9c0m/zCft4Pd2Zo7NcKcunHZm2OpGQ9D3VZMJZipgJKBJnDcb+CU5xVGkddWA5sFJ5UbY8hfTxuryf4Rv3SZ+07ZaY5IZhyITzFS4TUCTOGoz9xV9jn+uQlEZDVlc1H+AsyU9773fludVj5NXrS8xsiUlu8IxMuFCBMgEF46zBGP8dv76uMFB8UrNpcSdCv5/0nbQpXxM4vh+vmqgvMZslJrlZJDJhGEXJBBSMpwZj/GKz5eVMl+mdr9WyeCZEwl82/2HyXM/pxfQuLxzTrZa53UkJnQpDJgyvEJmAgvHUYCz/Xp+bs3Xbaryd0prd3eR+rINIInvfXdfn5BN7P+9XyjIXmjsnJokhNDJhePnPBBSPpwZjdsK7VLK4qL5WM3fEeJLfNwbX8F4uyaf2nioWlxhT/pHAdxeZMJKcZwKKx1ODMft7vdNJ/Yiq8VgbN97bS+4yFIP7qD/tZHruy6imavKBpa+vXI/BkAlDSjITUDxuGkyvJ3sm950sL6d4QPjkTI1jS4JfOdaW8X6wnPyFR4m71ZLrc9oP8crEk4BkwnhymwkoHjcNxubv8kpFVla0H+JcQWBrD0IyJ0BY20ddntE5uW4Mn7QNLYiZrIaSCePJZyagkNw0GJu/yxO/XTYNrZaUzHxnJbN50toAjMHVu2e5VpWPzHzBTranmkwYWw4zAYXkpsEYfN+6c8fESQ8XKpcNbelMJq1MLYL5YDmjWxuT8mHTylzSZIt5yYSx5TATUEg+GozNCW9r08nnWFmx8srV7ydxnZudMZirFUNDGsMzMuc1wRgMmTChvGUCCslHgzH4srW8LNWq9kMMLVevXE9DQ/dR32qZ3n90FiP7kiZYzEsmTChXmYCi8tFgrE14l0rWF+udZOeVa9JfzSdmzgC5Pic3PcwZnOqjFRNLescdTiMTJpefTEBR+Wgw1t63Gg0Hi/WOKZetzNBP+r6V3JU6k/I4f3TkStnE5U3j/mqSCZPLTyagqBw0mCiyNeFdqXia7R5k5B1x0jnvb7aSeY4JTS86OADmfB+tyNWK8jP81/4Y/yMyISk5yQQUlYMGY+1ly8if+TFUqzJnYA/KRN89dtbwuh6AiV0p6/9XjDUGQyYkJQ+ZgAJz0GBMTZGWSoaWv41haUn7CURkkm8gI4tgphflmp9Fm+d4v6E8DDPWiBqZkCD3mYACc9BgTE2Ruo4qEanXTazdG3/Q2MgiGPWhiwSp/7c8G/l3A5mQIPeZgAJz0GC2bCx7EJ/bDU6yELi7Y59kZqHBvHsnJwMwsfcbypuSRm8wZEKyfGcCCsx6gzE1tFiv+9tucNLCgvYTjP0Ovd81cRLMj2wMuydId1PSiDODZELiHGcCis16gzH12zoHL1siUqtJRXsDypgjxhaW8V6fc78F6STds2EOopH+dTIhcY4zAcVmvcHYGVqcm/N04Ob51Nfujbn1YLJrdJLxnoHX1cRdKWsezTfiLBKZkAavmYBis95g7Lxvqf8JT5CFY6zG+ZVVH4O5WjFxClwaFKfGRlzbRCakwWsmoNhMN5gokp3xL05JUqVi4k94UqpVmZlRfoZotKkDkYNInmu/pvm9Q+BCUzUpK/2eeNEffiKJTEiJy0xA4ZluMHYqeZ6iKhZor+XYHPVgF/UBGMnjGt5BHoZhyIT0+MsEFJ7pBmPnN3SehotjFnYfjOZb7VPMcraJ+iQPS2HIhPT4ywQU3nkNptvtBkEQ/0W5XL506VKz2czqwUTMrE6fmcnPer0jtZryMVYjv0yrnwSTyzW8g66U5d07Oh899BptMiE9/jIBhXdegwmCoFaricjq6mqj0dje3m63270MI8RIWuXvZSvmbBhc90LHy6U8L4I58s68zucOPQZDJqTKWSag8M5sML1er9/vt1otEbl3797S0lKtVqvValk2GCNL9vL6p3p2VvPTRztWVX0AJq9bkI7RamlDr+QlE1LlKROAcxpMtVoVkSiKOp1OpVKJ/98s64uRkzfv3MnDmZun8pTC6g0m91NIMa2JpOEG2MiEtHnKBOD8WaTl5eVardZoNOr1uojEM0pBVgvWjcyJzisNq2egXFbePznCF5LuWXZXKzJV03yALL2t+hp+LjIhbZ4yATi/wbRarXa73el04rmkIAjCDH9/GTl5M98vJer7J4elOwZThBUwR7T+Y4fYLU8mZMBNJgDnN5gwDIMgOBp0abVaURRFp506dOoepW6322g0ms3mqf+TC1lYspfj4eKY7rT3CK/Uust4CzKFFLtWlavad+ScgUzIgJtMAETeOvXvdrvdKIrm5+c33zx+odlstlqtwYmkMAzv3r17cn1MFEX1er3VavV6vSAIuqP/xrSwqkv3D3MGdN+39veH/PdUU61QU0ixm3X5ai3rD32yeeGVmWRCBnxkAiAiZzWYu3fvxp1jdXV18O+Xy+Xqm8cgbJ5xwlSn06nX6/ECmvhHi5fRDMnCy5bkfbhYRMplqVTU7lQbdmxuxJv/ElaoKaSYyaUwZEI2fGQCICJnNZjhF760Wq0wDI8VHRHZHZiyDoIgiqJ2ux3/zb///e9///vfReTrr7/+9a9/feoPa2EsMZeHVp0UBLKxofPRw34n6Z7Gq3VEiqKLxkJScVFPJRMy4yATABG5cB1MUh8z6lKYbe0T5EV7NDUzDkbFFWeRLpd0vs51XSkr3PJ40ZEwZEJmHGQCICKnjsHEy1zCMLx06dLJf/ry5ctRP6PX683Pz9dPDL+ec0eBhSae4z2Tg0aZ3EvYsG/Vig2mgFNIsRuBRNkeHnfRGAyZkBkHmQCIyKkN5mjoZYyycmRhYeGooIy6CEYMpFWpVJT3LcW06veH+JcOInkxzL+XDpMrQrLww+msP/H5BSsvyITMWM8E4JXzZpGiKGo2m7Va7dKlS7Vabch90fHITa1Wq1arjUYjCIJ6vV4ecQOi+tnhBYmq2Nyc9hOcg5NgVNibOyMTsmQ6E4BXTl/JG6vX671eb2VlpVqtRlG0vr5+6r7owTNjZGDkpt1ux//yqAMwFgYSCzUTXKup7VMNw4u+GJ6cvtktC+UZuZLroz/Oca0ql0tZj349Dc9qTmRCxkxnAvDKmQ0miqKtra39/f2j4ZN6vV6tVuNj7ob80UftLq8+eoz/UcJyv2dy0HTmMwYjGPrOv+TZG4fI1FRN+SDBAWRCxkxnAvDKebNIInJs9qeayVbCM46YyU6lUog9k0cUp70vpngYTAH3UQ/K/hy/s3+tyYSMmc4E4JUzG0y5XJ6bmxvcLtRut+MDdtN+JvX3raKNYSqm1cXfTIrDAAUfg8l+FfPZ93eSCRkznQnAK6c0mGazebS0ZW1trVwuB0FQLpeXlpZGXZA7HvVNB4Wa8I4ZXbinOABz3ebPSIYs3aVAJmTPaCYAA05ZB7OwsDD/6tyDlZWVbJ9HxMDtJ0V73xKRalX/p/0Uig3G0ve3jmuZz5qc/cut/puTTAAMOqXBjLf8Ninqw8WlUrEmvGNa1+1e8G6tuBGp4ItgYtfnMp3FO2PVNpmgwmgmAAMuWMmbPfVtkwV82RK9w0Yv+HJiI5IuG9Uetl8AACAASURBVANRZIIKo5kADDDXYNQLeAEnvEWsvmJqzSKxCCb2valMP+6MX24yQYXRTAAGmGswu2duR8hIMbcRGk0rrQN5bYw96Mv45+GMiwXIBBVGMwEYYK7BqL9vFXPEWERmMr+NWM5foal4I1Jhr0M6xsZUGpmgxVwmAG8y12B0J0FV/sQaYe6VS/FGJMZgjlwuZfpxp618IhO0mMsE4E3mGozuqr3CvmyJwbTSWgRztaKwkdisjMvcabWVTNBiLhOAN5lrMLq3qxf5NhBz/+1nn9CaLgZgBhn42SATtBT5vx0u2GowYaj8AMVcshfTet868w1bawyGAZhBGW9HOoFMUGQuE4A32Wow6oqcVlr/7WeuctA6DIaz7AZlPAajeALQGciE7HEkDIZkq8Ho3ulV8HtAtI7gPJPWnY4G5k0Myfhn49vtY3+DTFBkLhOAN51yq0BhsWxtZkZ2drQfIqb1Ln61IleI7QFXypme7/dDWysvyARDmQCcYKvB6E5/smzN0CuX1lZqFsGcNKe5FIVM0GUoE4ATbM0i6SryhHdM5Wfg9K8orTEYppAwgEwwlAnACbYajO5pjKSViv390/7uifUQGeE0XmPIhAI6PROAE2w1GEWlEuOllm6w0xqDYRYJr5AJYioTgBMMNRjdkUNetsTUnLfWYTDMIllCJqgzlAnACYYajO4ZAKSVmNp5odJgygW+AsckMkGdoUwATjDUYHTft6aUjx41wVBaPd9T+FCmkIwhE9QZygTgBEO7qXVXb/G+FTNxhBeLYCAiZIINJjIBOI2hBsOIsQXq19CI6B0Gw0YkY8gEC0xkAnAaQ7NIPaW1mzEWrBnCGAxEhEwAcC5DDUYRw6S2aB0Gw0YkvEImAPYZajCKR1exWg1ytaL9BDiOTABwDkMNRhHDxbaorINhCgkDyATAPisNRnfCm3MnwRSSNWQCgPPRYER437JGay8SLCETAJzPSoPRxbZJW170FT70nXmFD4VVZAJgn5UGo3v4Ju9bhmhtpb7CbwJbyAQA57PSYBQP32TbpC1aU0isgzGGTABwPisNBtB0uaT9BACA0VhpMIojxkx426IyBsMAjD1kAoDzWWkwwKH/0pg8YBEMAHhDg+HgB3CcHd5AJgAuWGkwiseHs+nAFg6DgYiQCQAuYqXBKOICFHAYDAaRCYALNBjSyhit82CAV8gEwAUTDSYM1T66xC5aa6IdhQ9lL5IxZAKAC5loMIrYNgkR9iLhNTIB8KLoDQa2qEwhcZwdADhkosFwdBUOcZwdRIRMADAEEw1G8QIUAAaRCQAuZKLBKJqa0n4CDFKZRWIMBgPIBMCLojcYRoxt+XZb+wlQdGQC4IWJBqM45w3AIDIBwIVMNBhFHF0FDuTFIDIB8IIGo/0EGPSsp/0EKDoyAfDCRIOJOEceMa4UgIiQCQCGYKLB7GicIy8ilYrO58KWG4H2E+A4MgHAhUw0GC0MFwMYRCYAjhS6wcCcb7a0nwAA4AMNBsVWntF+AgDAOPQbDBegQBO3UttDJgAYhn6DYdMBgEFkAoBh6DcY4JDKxdQAAJ8K3WCmp7WfAIO41hHayATAkUI3GHZOAhhEJgCO6DcYrnADMIhMADAM/Qazv6/9BAAsIRMADEO/wSgqs5HWlCebCh/69qzCh8IqMgFwpNANhrMfwHkwGEQmAI4UusEAAACnaDAAAMAf/QbT62k/AQBLyAQAw9BvMFoniJdKOp+LM6mcaHcjUPhQnItMADAM/QajhSV75jzj1RuayATAl+I2GAAA4BcNBgAA+EODAQAA/tBgAACAP8VtMBwfDinPaD8BDCETAF/0G8zWls7nVqs6n4szZb+bmisFTCITAAzjLe0HAF6JdrSfwLyHTdnvaj9Emt5bkPcb2g8BwAcaDODHfle+URqgyMYUR7IAGJb+LBIAAMCoaDAAAMAfhVmkMAw3NzdF5P79+7dv387+AQAAgHeMwQAAAH8UxmCCIAiCQESazWb2nw4AAHKguGMw09PaTwDAEjIB8KW4DYbTqyDX+E2A18gEwJfiNhiAM3kBwC8aDAAA8IcGAwAA/KHBwIbsr3UEAHim3GD+/vf3dR8AVuT7wkIMLQy1nwCAE4zBAAAAf2gwAADAHxoMAADwhwYDAAD8ocEAAAB/aDAAAMAfGgwAAPCHBgMAAPyhwQAAAH9oMAAAwB8aDAAA8IcGAxuulLWfAADgiXKD+f73v9N9AFgxVdN+AphQpsoCGI5yg7lx4//VfQAUGhdi21OjygIYDrNIAADAHxoMAADwhwYDAAD8ocEAAAB/aDAAAMAfGgwAAPCnuA0mirSfAIAlZALgS3EbzPa29hMAsIRMAHwpboMBONEOAPyiwaDAXvS1nwAAMCYaDMy4WtF+AgCAGzQYmHGtqv0EAAA39BtMqaT9BAAsIRMADEO/wXAVLYBBZAKAYeg3GEDT01D7CQAA46DBAAAAf4rbYLocBQJgAJkA+FLcBgNz2IsEABgaDQZmXCkrfOiznsKHAgAmRoNBsf1jV/sJAADj0G8wVaYOAAwgEwAMQ7/BlDWmDkQkinQ+F8D5yAQAw9BvMFp2drSfABYc8K2FQ2QC4EtxGwzMeWde4UNZyQsAPtFgAACAPzQYAADgj36DmZ5W+2gW7kG+2dJ+AhxHJgAYhn6DUdw5ySHitqicaAd7yAQAw9BvMMChqZr2EwAA3KDBoPCehtpPAAAYWaEbDHPeAAaRCYAj+g1Gcc57e1vto3G6yyXtJ4A+MgHAMArdYGCOylKYJ5sKH4qzkQkAhqHfYAAAAEZV6AbDnDdEuBoJr5EJgCOFbjA9rsSx5prG/AFXI+EVMgFwxESDmZvTfgIYwaF2EBEyAcAQTDQYQBMXCwCAQ4VuMFt8c1nzvSntJ0ChkQmAI4VuMDBH62KBfa7DAQBnTDSYGvfhQBfbkYwhEwBcyESDURRyJQ6E7Uh4jUwAvCh6g4EtNwKdz/3Hrs7nAgDGZaLBTE+rfTQHWEGEWSRzyAQAF3pL+wFEtC9yq9fVPh1WeJlF0lrpfCSrnedkAoALmWgwwGvX5xQOaPHSYG61lB/gf11SfgAAeMXELJIiDhGHiMjzPe0n8KAYc21kAuCFiQYTKC3fFOa8DdK6WMDLMIyiDE/NIRMAXMhEg1FEWpmjcrmj0GBwiEwAvCh6g9nZ0X4CGMGxvBARMgHww0qD4SpaHHp7Vudz/2tf53NxBjIBwPmsNBhFHMFpi9Y6GMZgLlSYiTYyAXCBBgNjtBpMMTbaTISTiwFYYqXBKF7k1uXd2xStQ9silj/YQiYAOJ+VBqNon/UPiDGRBBEhEwAnrJzJOzWl9tFsnhxUryv8hCwsSKMx8P+XZ3RGRJhIOl+262DIBCNMZAJwGisNRnHEmCM4B927p/Chx3/1tZbCPNlUuxzbhWwbHplghIlMAE7DLBJz3vZoHWrHGAxEhEwAnLDSYBQbd7+v9tGIzc+/+f9zsYBN2a4TIhOK7HgmAKex0mDKSt9ZMV65bPme0gqI7O/E9uVFpl/sZAKA81lpMCJSKql9NAv3YlYO8tLaUC0Mw9hCJqizkgnAaQw1GMVB481NtY/GKbRmkYQN1WfT+JkhEwCcw1CDAQ4pjsF8u6320caxzBmAMQq7qcMw3NzcFJH79+/fvn376O/XarKltA6BOe+YoZ+Hy6WMV10cYhbpLBo/M2SCOn4eYBljMCIc//CK1lGk1ZO7p7WGYZhFOkvBLkUiE2KGMgE4QWEMJgiCIAhEpNlsDv796ensn+XQ3p7aR0NOTSutpTDP9+Qg0lyIgwFkQmHRYDAMQ2Mwur9lGSwVU++dWofaCcMwZ9D4aSET1BnKBOAEQw1G9/gH/qCKqR2kWkfCiMgTdqGcRmMlL5mgzlAmACcYajC6F2FsswfFFI6EsUbjrk0yAcA5DDUYUT3AivctEZ19H5XKaX+XWSRT9LZSkwm6DGUCcIKtBsNttAV0+loHxQYTL+bFIL1WRyYUEMt4MSRbDUZx2ntHYYzcFnN5fVXvRewpR6m/SW9mjUxQZC4TgDfZajBsPVBkLq0Uh2E4mfcYvcNgyARF5jIBeJOtBqOr4GmltengzK8oxcW8LIU5pqg/IWSCCmaRMCRbDWZ+XvPTd4t16OhxWjsvdHfMnu4bpaPszdKbRSITFJEJMM5Wg9H9jVvw9y1z3lH97mIpzKDnaifUkgkAzmKrwege/1DwtDL3n6+4DkaKO29yCtUyRyYoKvh/Puyz1WBE9fiHfr/QK9e0/tvPnCbQbTAs5j2iXebIBC3mMgF4k7kGwyuXFotX2ZVn1D6aWaQj2rdSkwlaLGYCMMBcg9FdhV7Yc8SNxrTiMMyLvvrYgxXaPw9kggqjmQAMMNdgWLinQvH+tiA4+5/pTiQxDBPTuBFpEJmgwmgmAAPMNZjZWc1PL2xabdq8j/lt1d8NLIUREzWOTFBhNBOAAeYajO77Vr9f0MBSfN86j+4YzNf3ND/diCf632NkggqjmQAMMNdg1McPi5lWWpsO5ubO/ceKx/LGDIxAKNNeBCNkghKjmQAMMNdgRHXzpBR14d6W2UNoFbcjiYkRCGU2jicmE7JnNxOAVyw2GN3Nk2Hx3roVT7y4eJsJi3kVmfnPJxMyZjoTgFdoMMft7RVuAlgxrS5e4qDbYKIdxSuB9JkZgiITMmY6E4BXLDYYdUV75TK96UB3O5IYGodQUOT/9jeRCYBBFhuM+pHSRZv2VnzfuvjXWncMRgyNQ2TtIFI/CeYImZAx05kAvGKxwajPgxbtfcv0Vgv17UiF3VP9uKP9BK+RCRkznQnAKzSYU+zsFOg6tyjSvP1kqPUN17W3V1r6Ls+OpQP9yIQsOcgEQERsNhgxcCRAcV65dF+2hlq1x0SSCmO9jUzIjINMAETEbINRf+UqzrS34pK9SmW4f++H0+k+x4WMfZdn4XFHXvS1H+INZEJmHGQCICJmG4x6Ded9KwPDfiepL4V50S9cibE37EQmZMZBJgAiYrbBqC9H39srylo2B2l1Q/tUebH4jZ4ue42NTMiMg0wARMRsg7Hw+7gIr1zdrvT15gpGeKvWvVtALH6jp8jeFJKQCVlxkwmA5QajexOKiNy9q/wAGdBN5Onh17cwkZQlkwNOZEI23GQCYLbBiIE9dTs7+T9KXHdx4ghv1eqLecXo93ryDiLZ3dB+iNORCRlwkwkADeZ8nby/deu+b42QVupjMCKyuyEHef/6EtPzZWRCBtxkAmC5wVgYTsz35SC6E94yUlpZWMwrpr/dE/MfdmdKyIS0ecoEwHKDsfC+de9engeNdSf1Z0Zdm6u+mFdE/rau/QQpe9aTb7a0H+JMZELanGUCCo8Gc4EcDxrrDhePvOnAwkRStCP7ud5Qa7uikQlpc5YJKDy7DUZsVPK8DhpHkeyoXjw88rfR27OpPMeobH/HT+pRW/sJLkAmpMdfJqDwTDcYC7+h8zporP4eOfKaBgtjMCLyuJPb9byP2gaPgTmGTEiPv0xA4ZluMEZ+Q7etv5eOQ/09cuQle0YaTI4PhjG8hvcImZAef5mAwjPdYCy8b4n26rY0RJHcu6f8DOP84l7Xvp449uWq9hOkYL9reQ3vETIhJV4zAcVmusEENrbQ7uzk7T4U9eHiUmmsVXtGhmGe78nT3B0v72R9D5mQEq+ZgGIz3WDExsI9yd0rl/pw8ZgvW0YW80ruhmGe9cyew3sSmZAGr5mAYrPeYIy8cuVp2tvxcLGRc+1E5JstedbTfojkOBmAiZEJiXOcCSg26w3GyMK9fj8/gWXhP2Rqaqz/2ZWyiXPtYrkZhjmI7G+iHkQmJM7Cf8iYmYBis95g7BTzdU+vqeex8B8y/i+rnWGY3Y2cDMN8uWp/E/UgMiFxFv5D7PyywhEHDaZU0n4IERHZ2VE+sDIRYSh7e9oPMUlaWbik+kgOhmG8DcAImZA095mAArPeYMTS7+wcrN2z8J8w0aYDO2MwkothGG8DMDEyIUEW/hPYiITx0GBGsLEhPc9fWFEkGwZ2nEz0C3qtKlcriT3K5FwPwzzryVdr2g8xDjIhKXnIBBSYgwYzP6/9BANWPX9hGXn4SdPK2jCM37Nh3NYvMiEpRh6eBoPxOGgwRjZPxvy+ckWRiR0HIjI74akudk6FiTntAU9DR2fAHEMmJCI/mYCictBgxMwZVjEjby2jarelb2PBQ67GYETkmy2XNyU9bGo/wUTIhMnlJxNQVD4aDK9ck7OwYVJESqWJ72+zthRGRB42nV1Y/deWRDvaDzERMmFy+ckEFJWPBmNtjNHdK1erZWLDpCT1smVtGOb5nqe5pIPI09OegUyYUN4yAYXko8GYet8SkY0NT+dARJGheE0mrd6xtJIz9tWa7Du56+9Bw+MO6mPIhEnkMBNQSD4aTLlsa9pbRJp+VhGsrlqZ7ZakXp2tjcHEHjS0n2AIjzvytfYVOEkgEyaRw0xAIfloMGLvlWtnR1ot7YcYQq9nZbtBLJn3LVMXJB2Jdqwvj33W81GzhkMmjCefmYBCctNgDPb01VWJzC/fbDYNvWxVKskt2bM5DGN8LikX80dHyITx5DYTUDxuGoy19y0R6felYfuFttORe5ZmDJJ82TK4FCb2oGF0X9LDpnyzpf0QSSITxpDnTEDxuGkwBqe9ReTePelYPQokisyFaZIvzTcCuWzjfr9jbM4lPe44vUDgHGTCqHKeCSgeNw1GTL5yiUijYfQoiEbD0FhxLOH3LZsTSSKyuyF/tbQgYr+bp+Uvg8iEkeQ/E1AwnhqMqctQjvT7Uq9rP8QJrZatseJYwt83ZieSROQvK1buSzqI5E/1PC1/GUQmDK8QmYCC8dRgzP5e39mxNTbb7crKivZDnDA3l/SPaHYMJvanuv6q3oNItgJ5buPkshSQCUMqSiagYDw1GBG5c0f7Cc6wsWFlg2IUGY315IeLr1Ut7qk+8qIvW4FmiYnri/PbAy5EJlyoQJmAgnHWYCwv+1pa0l/BF0eVtanuWCoD/saHYV701UZiilFfhEy4SOEyAUXirMEYnF0e1GhIV++VO46qHavfWam8Bb63kMIPmqjnewojMYWpL0ImnKuImYAicdZgqlWpGLuWeFC/L0GgE1jGoyqtCe+pmrl7qk/KeDrpWa849UXIhLMVNBNQJM4ajJh/5YoDK+M73oxHlaQ64X3T9m+IWFxiHqW/LGK/K5/XilNfYmTCSYXOBBSGvwZjedo71u/L/Hx2i/i6XetRJSIL6c32WN5TPehFX/68JA+bKZ7Y+7Apf5jN68bpc5AJxxQ9E1AY/hpMvS4lk2exHrO0JI1G6pekdDoOoqpUSvN9y+zhvKf6ak22guSPiolnjnJ36u6QyIRBZAKKw1+DET/rvzY2UpwCjyKp12Vhwegug0Gp/3q5mEg6Eu3IH+cTuz7pIJKHTfntdM7uPBoVmSBkAorHZYNxtAdvZ0dmZ6XZTPjFq9WSatXiCZunSv3Xy8tE0qDdDflNVR425dm458/H3eU31cIOvQwiE8gEFJDLBmN84d5Ja2tSrSaTWe22VKuysuLgNetIFmMwjiaSjrzoy1dr8ttpedCQx6McG/I0lAeNw+5SvFUvpyITyAQU0KWXL19qfXaz2RSRVmucO/DqdTdvG4NKJanXZWlp5DngblfW16XT8RRSsZmZTLaSPmjI7kb6H5Oy63MyVZO3Z+VK+Y3D+va7chDJfle+3ZanYZ5bywfLcmvMSzHJBC8yygTLnvVeD74+68k/do//C2McvjB14jdQnCSxK+VT/gX/3tJ+gDHNz7tMq35fNjZkY+MwtqanpVaTWk3K5eP/Zq8nvZ50u7K9LWHoL6SOZPSy9c58HhrMN1sFX84yCTLBi/wPwMTvGyLyZFNE5FnvcNHbfjfF14/ho+P6q6N44k7zw2m5VhUxf8T5abyOwUSRTE0l/UDa5uYkiqxvIhjV9nZWmw465TwPThTEBGMwZIIX2WVCBuLx0bipxH/t/TSmuN9M1eR7UzJVk2vVw35jktcxmHJZ7txx+cp1jq3cvX5numfyZj0PwzAYF5nggu991M96h5O58TSQ97Jyqngs59iIzvU5uVaVK2V5Z16maq8np7R5bTDidtC4UDJdX/mjJRpMwZEJ9jlbc30QydNQvt2W/W66c0DGHU1wxzsfr1YOh2femdede3LcYOLlb7As0z2T8R1Jz/cy/EjYQibY52Af9bPeYWt5GpInp3u+d/gzExea8ozcCOTtWbkRZDw847jB5HLQOE/ilYmZulnncJQiIxOMU8iEIcVjLU82aS3jiHZeT6jFbea9hWy2Prk8D+aIgzpfYApR9SNewDNk8lZwMsEyc/XlWU/+2pLPa3JvSr5YkN0N6sukoh35ak3+MCu/qY580tXofDcYc38eMEDhu+RaVcozmX9qUZm8zIFMsMxKv3zWOzzP+rfT8peVfC7IVfd8T3Y35IsF6ZTlQWOcE26G4LvBlMuyuKj9EDiN2nAxwzDZuFyyeZkDmWCW/hTSQXQ44vLbaflqjeGWjLzoy+7G4ajMo3Yy98G94rvBiJ1SjzepRZXTGwbcuVk3e0oEmWCTZn2JL+K4N8WIi6bne/LnpUnvg3uT+wZTr0vF4nR80al9i1wp25zdyJt35s02GDLBJp1MeNSW31Tlj7k4szsfBu+Dm7jHKOxFCsNwc3NTRO7fv3/79u3Jf8B6XdbYgGJJpaL6vvXeAmmVOtsHkJMJ1mSdCQeRfLkqj9ouT3C5Whnn9cDdcTW7G7K7IR8sy0crY+/Bdryb+sjSEmlli/Js942Ag2HS9e6dw8Sx+vNMJliTXSa46C7X5+RK+bCmxOvJkr158WkoInIQybfbIravO/hqTR615ZP2eGPnXu9FOiYIcnj8tl+7u1LVnWF41JY/s6Q3NR+vy/sNEZGtIOGrKCe4F+kYMsGUjDLhUVu+XDXXquM75+NrhnSP5I8vQ3iyeXj3pKlO8+4d+aQ96k9OHsZgRGRhgbSyYmZGu76IyM26PGyafglzzcNKIzLBjiwyYb8rD5tWrna/XDo8o3aqZmu+Nb6mcfCR4nP89rv6P3Vf35P9rnzaGWksyv1K3lijISU2oNhg4lh31vOm52gKScTsYl4hEyxJPRMeNuUPs/rfweUZ+WBZfrYt9Ug+7ciHTVv15VQ3ArnVkrlQ/s+X8pO7Mr2oeVLl8z3ZCuRRe/j/RU4ajIg0GtpPAAtHPhz5aEX7CXJq8BgYM1fUnopMsCDdTNjvyuc15btErlbkg2X55a78vCu3Wtmcpp+Km3X5pC2/6snPtmV6UedYihd9+fPS8CUmPw3GxKt/4dXrUjbypXatKtfntB8ij/wMbpEJFqSYCX9tyR9mNRdzvHtHfropv+rJrZbl8ciRTdUOq8zH6zpDMn9eGvI6gvw0mGpV7tzRfojCs/Wdwfm8iZtefGPc5YfTeo9yMTLBgrQy4UFD/qI3zjq9KL/clU87DuaJxnalLO83DntM9uMxw11EkJ8GI9a+PotnZkZqpgZQb9Zt3j7o2LGbBMy/d5IJulLJhINItgK1M5/evSO/3JVP2vZ/8ycm7jHvZvs28KIvDy6eBs5VgwkCzuLUZPHbgtUwCbpccjSFFCMTdCWfCXF9UVm0e7UiP92UTzsF6i5HrpTl0478eDXTD412LlwQk6sGIyIrfGEpKZVMLpzkmqQEnawvHqKcTNCSfCbE9UVl4cu7d+Tn3TzPGQ3jw6Z8vJ7pJ355QWfKW4Op19lCqcNifZFXU7lIxMl1RR4aDJmgJflMeNDQqS8/XpVPO8Z33mXk/UamJeb53vnDMDk50e5IuSyNBgeKK7D7pvvRivUjxl24WnG6TZRM0JJwJjxsytf3Ev0Rh3N0AjVi7zfs/ITkbQxGRFZWeOXK2uKimU3UJzEMk4izVsB4WCtNJmQv4Ux4Guoc+kJ9sS2HDSZ+5UKW7A7AxNhWPbmzfg49TCSRCdlLMhMOomG2pSSP+mJeDhuM2NwUk1+LiwYuQjrftapML2o/hGfv3nHRVM5BJmQp4UxQuaxxepH6Yl8+G0y1Kot8YWXF+gBMjG3Vk3hv4cx/5KTZkAlZSngAZpSLcpJxuZTUHelIVT4bjHj5WvVvbs78AEyMYZixXa2cdwyMnw0aZEI2Es6EL1cVluHfajn6jV1kuW0wvHJlw9O3wkcrnA0zDm+n2J2FTMhGwpkw3P04SbpaYf7Ii9w2GBFptdiAkK47dyRwdMLTtSrBNI7z10HbvhrpGDIhbQlnwtNQYQVMXip7EeS5wbABIW0tdzPFDMOM6sI1vE7WwcTIhLQlnAlPNhP94YZzzqovGJPnBiOcA5EmB1uQTuJsmFHlbiM6mZCe5DNhiNuJE3a55PTkxmLK25m8x3AcZ3o8rYAZ9NGKPO4oDE17dLVy8UUwrsZghExIU/KZkP0Nju7qi9Y9l5n5YPmcfWE5H4MRkVaLy2mTt7zscAAmdqXMzuphDfMT5a3BCJmQDseZMMjh7+ciy3+DEY/LNWwrldwOwMTeb8j1Oe2HMC/XOzLIhGSlkgnZTyGJp9MBIAVpMPW6zPGFlZxWy/AtSENiGOZCw+/I8HA10jFkQrJSyYSDKOkfEXlTiAYjvHIlZ24uF7s5bgQccHeey6URSp7PgXcyISlpZYLKkhRqkytFaTC1miwvaz9ELuQn92+12Fl9pvcbuR9OJxOSklYmqPwOfNZT+FCMqygNRkRWVli+N6nlZal5W6p/Jpb0nmWkARjxOgYjZEIS0s2E8kxqP/QZ8r2vJ3cK1GDK5RyNH2ioVJwv4D3pwyZLek8x6gCM29EaMmFCqWeCykRS9vcYYFwFajAiUq/LnTvaD+FWu+1/Ae9J3EB7zKgDMM6RCZNIPRPenk3zRz+DykHAGEuxGoyItNucyDmO5WVXVyANb6omH7AaYsAYK2BcXY10Epkwniwyq0yBxAAAIABJREFUQeWKot0NVsN4UbgGUy5Lu639EN7kcP5o0K2WwnS7TeMNwLhdBxMjE8aQUSZcKevsGXzYVPhQjK5wDUZE6nVZZCPtKPI5fzToE77BRKQQW5BORSaMKrtMULln8et7rIZxIef3Ip2l1ZIwlD3uxhlCbuePBk3V5Mer8pccDzQN4WplzFVBzsdgYmTC8DLNhPjopt2NrD7vlQcNuVZ1cE3SrZbmGTbPevJnzctfC9pgymXpdGRWY5WYL3Nzhdms8WFTnmwWei/l2Iuac9FgyIQhKWRCfBvri36mH/qiLw8aMhdaH5XU7Vja021FnEWK1Wqyuqr9ELaVStIp1Ejqp53innF3fU5n1aQlZMKFdDLhWlVnf1y0I1sBp/Se6SBSn2srboMRkWaTjZTn6XTyvvzlmCtl+bRQlW3AhLvKHV6NdCoy4XxqmfBhU97V+IWJS4zKHZP2fbkqz5WnXQvdYESk3ZYZtqGcZnW1AMtfTroRFHFz9QfLk45F52IiKUYmnEU5Ez5p6+wZjEvM01Dhoy171Jav1rQfovANJt5IyWkQxywuSrOw2wlvtXTe9rRcrRTqCLsLkQmn0s+EeIhUZZ73RV/+OC8Pm8woHXrU1l3Ae6ToDUZEajVOg3jDzEzhf0K03vZUfNJOYK1ijsZghEw4wUomXKvKXKi2WO2rNfm8VvTBmINIHjaN1BehwcTqdVbwHZqZkbDYf0JFRK6U5ZN2IVb1frAsN5KYGDC+X2N0ZMIRW5kwVdMsMc/35I/z8qd6QQ/tfdSWz2sWJo+O0GAONZscaXW40aBYq3fPMlXL/6pe5o/ORSaIzUyYqsmvepqjpF/fk99Oy4NGgXrM445sBfLnJfWlu8fQYF5rtwsdWKWShKFUczUbMJkbgXy8rv0Qafq0k9jYifOrkc5CJhjNhCtlmQuV16vtbshvp2UrUN9RnKKDSB615TdV+WLB5llZBT3R7izxXO9G5sc/qoujqmb+/Mmsvd+QgyifZ/X+eDXJs7DytQ5mEJlgVLyw968t5T+e32zJN1tytSI36/Kjpfz8QXjckSebCgcJjogxmOMKuJfSelTp+rCpc7dcqt69Ix8WdrPZyMgEuz5sys+29dfdP9+Tr9bkt9PyeU3+2nI8u/S4Iw8a0inLFwuyu2G8vghjMKcKQ6nXZcvimFny3ESVovjex+xvZklJeSb5myxz8+p5BjLBrqma/LwrD5vyqK3/jRvtSLQjf1mRqxW5Ecg783IjsL7O/Wko+12nd6rQYE5RLksYSqOR/6HjSkU6HT9RpSg3JeZyKZnt08fkvcGQCdbdasmPluRhU76+p/0oIiLyfE92Nw4TozwjUzX54bRM1ZLZ+jeh/a4868m327Lf9dhaBtFgzpT7+e94k6StXQaW5aDEXC7JXOjgul2ryATTrlXl0448DeXLVVtfzPHAzJHyjFyryrWq/HD68Prr9AZpDiLZ78pBJN9uy0Ekz3q2fmYmRoM5T7st5bKsGdr9npg7dw7/6zCCT9ryw2nHC3tvtVKsL1cr1nZapoFMsO5GIDcCiz3myLFCE7taORzIPPoT+r2pEf607nflv/Zf/7WIHESnfEru0GAu0GrJ9LQ0m9LXnmBN0PKytCa7yK+4PmzKlbKdIylH8PG6vN9I8ce/Vi1CgxEywQX7PeaY53uHf3xcPK0ZNJiLNRpSq0m9Lnv+8zk+n6qIVzYm6P2GTNVkK9BfNji8tOuLiNxqJXBrjJP1NGSCD3GP2e/K39Z9z//ad7kk7zfkvQX5w2yWH0uDGUqtJt2uNBpyz8YqsfHMzUm7bfJ8Knfi7Q9/qvsYp82gvogUbXkNmeDGVE0+acutljxqy9/WCzJSmJ24u3y0criaZ3oxy7LIeTDDKpel0/F6VUqpJKurVo/XdCq+ZM74UTGXS/Kz7SzqSyGRCZ5cKcuHTflVT362LdOLhbj1LG1XK/LBsvyqJ7darxcjZ3tRCQ1mNM2mbG87O95qbk66XWlygFni4gsgf3LXaBqWZ9h5lAEywZl4SKYeyU/uUmXGdH1OPl4/3l1i16pZvtfRYEYWjx6vrkrJ/O/8UknW14v0mqXiZl1+3pXrc9rP8abpRepLZsgEl27WD6vMTzflg2X9g33tiwddfrkrc+F5I7sZDsPQYMbUbEq3a/fWt1JJlpel15MGEwgZiGeUjAzGXC7JT+6mcmwdzkUmeHUjkFst+XlXfrkrH68zMHPc5ZJML8pP7h4Ouly43D7DYZhLL1++zOaTTmo2myLScr6HLx6MtXPceKkkjYasrPg/18Gjg0i+XJWv9E4LeffOUBGDNJEJebDflf2ufLstT8OCLv4tz8iNQN5bGGco91lPfpvQffUfLMutM0sCDSYZYSjr68q7EsgpK5715MvVrHdvXq3IJ20TZ5ZDRMiEPIlPtn2yeXgef44LTXyd09uzciOY9EXoQSOZDKTBZKbXk/V1abezPupqbk4WFhgcNuZZT/62nsVtc1cr8tEKG45sIhNyKC408TG48V84OhrqmKsVmarJtaq8M5/w/QZJDcPQYLLXbsvmZuqvXzMzsrAg9TqL8gw7iORxR/62nsrJMe/ekR8tMe7iApmQc0/Dw+uHRA6vIjJ4WFS84SC+ZvJaNfXoiH8eJhTfIXUGGkyKokjCUDY3JQwTO7uzUpEgkNlZCQJCypVnPXncSeYK+3fvyDvzcrPOWl13yITCeRqKyOtyI6/uLZIUri462hF5pXz4rR83FZG8vufQYDLS60m3K9vb0utJryc7Q/++nZuTclmqVZmdlVqNhMqFp6E82ZRnPXnWGyrCji6zfWc+r0lUQGRCQXS+7Gw/2b743xMRkfcP/j7kv/noyv8+5L+5VFuqlvP5u4QGoyaKpPvFE/nuyan/tPy/vaj9H/94/f+negM7VP37/9P7wf/XO/Ufffffq9/998PoKZelxvEuuUYm5E/ri9bKlvJt9qXvl8Jfh7V/yWF8cC9SCuJ1XiLyZPPw7xwNGw6s+SqLnPc2/a3IH8/+p5dLr3e4Hf3FO/MiF8waIhtRJN2uiEi3K/v7h38R6/VOTh9URcb5JZt7NWYcv5GLyPT04V/k86I+v8iEQmr8rrGxo3+jZP+f/eCzoP2Ldv2juvazJIwxmMnEEwFxKplavRXH2bWqXClntGirqLpdiSLZ3Hz918NPB6Qtrji1mkxNHU43MOOQOjIBItF3UfBZsPPExi/9K+u/WG/UcrU/jQYzoqeh7HflH7vyrJfAksyMXa3IterhQvSpGkfOjyEeXNncPPwLO2VleHNzUq3K9LTUagzVJIFMwJu6/9lt/L5hrb7EFmcW2//W1n6KxDCLdJFnPXkayj925Wlo5V1qbM/35PneGyF7fU6maofnFzGnfoZuV8JQdneT3D+iaGvrjeNiZ2akVjtcE8o6m6GQCThb2AvrnXr/n0ZPiNnY2Yj+GbV/0S7/IA+/uIzBnCZOqKKdJ12ekana4W6XwidX3Fq2tyUMsz6LTFGpdLgvlwNFjiMTCp8Jw2h320u/X9J+iovNvDMT/jrMQYmhwQyI97jm4L1qcuUZeW9BbgRFG1XudBI+q8Ov+JSR+Xmp523x3yjIhCNFzYThGVm3O6RKqdKpd7xvUKLByOE5Y487jk+GTs/Vitysj3m5lxNRdFhcdK+wMSsemImrTFGu1yETzlGATBhV9F1U79S39pytgip9v9Spd4Kq49VwBW4w+1352zohNaw4tn60lKdtmXFx2XDz1qSsVJJ6PdejMmTCSPKYCWPoRb16p25z3e4wXG9QKl6Die/be9wp0GR2sq7PyXsLru8RjC/b63SYKhpTpSL1uiwt5WWtDJkwIf+ZMLbuf3aDzwKz63aHtPyvy61AezJkLEVqME9D+Y+7ydz3jfj166MVX+v7wlDW15ktSsydO7K05HlLNpmQIJ+ZMAkv63aHsTiz2Apa7tb2FqPBPGrLl6u8YCXvcukws8wPI7fbsrrKoEsqZmZkaUkavt7AyYSU+MmECTXD5tq/r2k/RZI8blD6b9oPkLJHbflNVf68RFSl4kVfdjfkt9PyoJHALerpaLelWpWlJepLWnZ2DmeU2i4OyiITUuUhEyYUr9vNpr6Uvl8qfb+UwQeJyM6TneCzoPuf3Yv/VTPy22DIqSztbshvqvKwaSqz6C5Z2ts77DGdjvajnIVMyJLJTJhcL+oFnwX3/prFVHR8I2O30Z15ZyaDjxOHJSaPDeZxh5xS8KIvX63J5zV5rP8NFoYSBHQXBXt7srAgQfD6JksTyAQVljIhEd3/7NbatWy2HcVzOrV/qVXL1fDXYWYlpv/P/uzGbLvrYkA1Zw1mvytbgXyxQE6peb4nXyzIn+paL15RJI2GzM+/cXA+Mra1JbOz0mxKpP76TSao086EpLS77cy2HR3Vl/j/Lf+gHP46XJxZzOCjY0u/X2qGzcw+bmx5aTAHkTxsyh9m/d2slktf35PfVLN/8ep0pFrlfBcr1takVpMwVPp4MsEUpUxISjNsLv1+KZv6MleZO7mitvyDcvvf2lmWmLV/X2v8zvr6/Fw0mKehfF6Tr3K1LNy9F335YkEeZtTio0jqdVlYKNAdRi7s7cn8vDSzf5cjEwzKNhOSEn0XNX7XyGzb0eLMYvh/nbkhqP1v7eV/Xc7mSURkY2cj+J9B9J3dwTPnDSZ+zfrjPEPERsWz4CmPHoehVKuc8mJXPBjT62XyYWSCcZlkQlKi76LgsyCz246W/3W5/W8XLEBpBa31X6xn8zwisrW3FXwW9KJs/vSOzPN5MPtdedBwduPa5dLhZSLXqq/Pffre1Hk3jDzZfP3X+10RkYPI33/1XJjSLSrNpqz5fNOemZFyWcrlN062nZ8/89/fHPiN0OtJFEkUyY6f3wilknQ6KR9/RyZ4kWYmJCXj83ZHOt2/82Wn8ftGZs8W74oyeA2k2wbzqC1/Nn8YYnw3/ZWyvDMvV8oJ/3E9iGS/K8968o9dedaT/a7pl84UAitetOti6KVUklpNajWZmjr8iwSvSIwi6Xal15PdXel2pds1PZW2vp7a2XdkQuEzIUEZV4QxLifKuGCVvl9qBS1rNyj5bDAPGkYPAr9ckhuBvD0rUzW5kflZ63F+PdmU/a7F1YuJBla3K42G6RGISkWCQGZnDytLluIes7kpYWixzaRSYsiEUxUpExLU+qK1srWSzWdNMrzR/c9uvVPf62fXU1fnVps/MbSSyVuDOYhkKzA3XlqekfcW5EZg64/i01CebNq6ry6hwOp2JQgsfjeLyMzM4YEoGbeWs4Sh3L0rnY6tn64kSwyZMLz8ZkKCGr9rZLbwZfLZmXilTpY3Yy/OLF64WCczrhqMtai6WpEfLcnNuvUbQPa78h93rcTW5ZL8vDvJz5jN+mL/uuZ2W+7eNXRMTjIlhkwYT74yISkZt4Gk7iGKbznY2svuz/adD++0f9G2cIOSQoMJw3Bzc1NE7t+/f/v27WEbTHwy1QsbX1zTi4cvWL487sjf1vUHk8szMheOd4GtwfoyNydLS1Kvaz/HcMJQVlet9Jjt7clGqsiEyfnPhKRkPCOT+DWKWQ4diZlrIJ3spjYSVZdL8sGy/HJXPmn7iyoRuVmXuVB+uSvT2R2LdIpoZ7wzIazVl8VF2d2VMHRTX0QkCCQMZXNTZjI6o/w89foEh/aSCYlwnglJ6XzZCT4LMqsvizOLiX/9Z3xUzM6Tner/qKrfoORhFukgkt9U9aPqg2X5aEX3LSFJz3rysClf6+3k+clduTnCN3+vJ7WalfoyNyetlpWVLmOzsBF9eVnG2YxIJqTBWyYkpd1tL/0+u11sqa4jyfi/pfT9UvsX7fpHau9w5sdg4nlu3ah69478cldutfITVSJyrSqfduSnm3K1ovMAo1xaGx+5a6G+VCpy966Eofv6IiKtlmxvS0Xp1z+2tjb6HZBkQkpcZUJSGr9rZPmVvzq3muoy2EatkeV5d/1/9hfuLSheA2m+wegu07tckp/clU87FlaZpeJGIL/qyQfZjT2+9nxPvlwd8t81snH6zh3pdj3NGV2oVpNuV3lGaeQ7B8iEVDnJhMlF30XB/8zuvF0RWf/FegZbkRu1xvbidun7pbQ/6MjS75e0blCy3WB0j9e8Pie/6qmMambtVks+zq62v/bVmjy7+LDqVkv/2LpSSdbXpdNJ8iQ6I8plCUO5c0ftAba2RhmGIROyYTsTJhcfB5fZ/p3S90t379zN7Di42r/Uwl+HWZaYjZ2Nxu8a2d+gZLjBPGprHlH1wbL62vhMvd+Qn25e/K8l7m8XpGS3KysZnSx1pkpFwjC1k2QNKJel3dYciVkf8ruSTMiS1UyYXNgLs9w1HR/6kvFikdq/1Hr/d2/mnez+VG/sbASfZX0NpNUGs99VOyD8ckk+Xpdb497W5NeNQOGt61H7/Jlv9d4wMyPdbh5WvZwvHonRKjEbG0NsSiITsmcyEybU7rbnP5vP7DD+eNexyo1C5R+Uw1+HWZaYnSc7tXYtyw1KVhvMA6UvrviAyPe1vza1vN+QH2c3Dy0i8qIvjztn/cNmU3n5y8yMhGEOZ45OFY/ElLIbeH5D58zfBa+QCSqMZcKEmmEzy3W7ivUlFpeYxZnstsrv9feCz4KwF2bzcSYbzMOmzlS3vfOtFXzYlHezXRPx5PSR6l5Pea9voepLrFZTm7PbPH++gkxQZCYTJhEfXLv279llylxlzsKZb+UflNv/1s6yxPT/2Z//bD6bDUpvZfAZo3nWk6+Uvrg+7RQ9qmKftOVpmN1u1a/vyUF0cnnByFtUEhWvfSlUfYk1m7K5qXBob3jOOxuZoM5GJoytF/XqnXqWlwfF6p0CLPo+w9Lvl3aj3VaQ7tyrvQajNVb88brLIzXTcKUsn7Tli4XsPvFpeGx/Rxhq7j8qlfK57WhIrZbMzmb9of3+2euNyAR1BjJhbPG2o8wWvhzJ8qIim9b+fS36Lkr1/BtjDeZpqHNDx/Ricee5T3Wznuk2hBNHa6xmO/N+TA7O251ErSaLi7KR+aaf0xsMmWCEdiaMJ+MzanHMxs5G98n/3975+7Zxpnn867uNzoYcYKgUtjeIE468hZHKHGLTbHUkgQTIXhoNO1+n4X+g4Z8gutyOo+7ccdhkEyAHcFTFVyTgK1+TLJCIw4uDjZXCHCYrn31K4SveMS3rBzmkhvO8M/N8YASKaOulDfLL7/v8FMvLpinmYBIcZ/SK1WIeuwxmQnf7FIJy9eDGBn0DFDnNJoGDGQzO+i5rgjqkLSJle3aShS/Mmew93qverzofO8uoaFbJwVBdtj5wcjTjIQ1EnQ6yBDQNDtmAbIXQ9VmltUvgjLQdawKzEMGzwPbsJOftMlOQJmYZbVkqOZjlDzI6g3c2UnexyDZBQHD7n9Bs5rf85QRVFd4WrAnM/ATPgiQH1jFRGD8fl3fK7Y/b8Q4mVqab+tCn2YnKsWLFIAyBFIvEDVDMa7AmMPMjfhL6X3S2L2rS+LzRehDn+0sZB0Ny2VrfzOx6ttTS6ZAdTb6+gHkN1gRmThzhkLQdMdFp7jZjXAOpjINZ2hDGabzPH1lq4ftkQ3g1jQt4FYM1gZkHOW+X7Yv67OztVP8jng1KatTBjASeDpM+9FqFL1uqMW2s2ZJh+6IWrAnMPFifWQnX7VaKlSSPWzbB8yDJ1NvucLd6v+qarl640DtODQfzA0Xm4N0EpzMx0Ui+/2VCnV8OSsGawESDpG439opUFUi4+Vyugbxgg5IaWaQDiqt3TAMfmRihisEUi7keYacirAlMBMRPwnCMJO2LdlnLpH0B0Kq22h8nWnw2fj6u3q+63yyeL1bAwRwFBDvbrlV43oNqCIExUQrb5E8upWBNYCLgfuNW71eH4+SyjdplzbvrZdK+SCzDSt7E1Lv1hddAKuBgRoLgUN7Wph6+T3Z08muAmGmwJjCzaD1o1bv1JOt2i1pxGTPZVMMyrP5mX7usJXlo4/PGYg1KCjiYJSxSn82NGsGhzFT6fbKjlZjexkxgTWCmYn1mNXcT7Ror3SgJS2TevkiM3xveXS9hE7Ozt2O65rwNSgo4mKMYWqrmhu9b6kEVgykWeQ6vYrAmMOcQPAsMx0i47ah0o7S83YRqIk1MUSsmeWj32271/nxd1go4mEOKDy5OeKtHQPGxBUDn/lnVYE1gzkL8JJJvO9osbQpL5Mq+SIzfG8ISpRulJA/de7yn/0UXP0XNIyvQTZ18zvta2vr4H9o0lQGJ8W4dtyxB9FfkLiTlYE2YST404fg3PN8zXTPhgXWbpU3nz/nd9Vq4UvDuegm7xrBByXSr+uzsvgIO5jceoTiLkaDZ0JsYawZA1ojEKAdrwkzyoQkTHOE0Pm8k/BSy2jU9F9LEWJ9b3W+TW1I2fj6u3a9F+fdXIIuUPDx2kzkGNyIxrAkqY31msX0hpHCl4JruZmkz4XMbnzdsb8auXeIYzJV/fk5wKie81YOqCAbgMl7FICnjZU1QkuBZYLrm7jDRaJMc+pKTtqPoyGxawjXU9/7rXvAsaFVb59UhETuYt68c0D4BRhGoimAY5ch2eQczD4UrBe/f6ZalMa/j/NlRrSpIgToYhmEYhsk6QXDyqub7GAwi/UE5bCJi20Ht9dlGhUJm+xWIHczoKNGZOYyycCqHCeGSFCZt+H7oMITAaBR+R2bGfR/D+NYe7EbLp92bup+x8rLxTtdD4V1bCy2OrqdsukQuHQyHqdUjq1cEZm5IHAxrAjMLGUEJgnB6uIymRLQUSjF5zuc9eU0LBVn+t1xGoaDo4HLOIjF5h7CImGEYNRECvo9+P4ympNGpLMx4HP59T/+tK5UwclMuQ9fpb54KOJjVIp4mt1wU4PsW8xr9Pu+mVgzWBCZZZHyl1wu/2Et8M3pa2N09aWtKpTD3VKvBMJKuB1DAwVzVk1ar38Y4Crh/UjVKJRYOBgBrApMEQsDzMBjA8+IsVckbe3uhbsvim2IR1SrW11GtJhGhUcPBJD9c8sDDTb53qwVVMS83cisHawKzHKRr6ffheTwEfCkMh9h5OTJG01CtolyGaS6rQFiBmbxvrhMc+qRPcCgzFaqUKtVObOZcWBOYWHFdWBZ0HeUymk10u2xfkmA8RreLZhPr69B12DZcN+YjFIjBkCy1f+TiTovgXOZ81tZozh0OEQTczq0SrAnMhQkCuC56PXST2+fDnMtwGKaZNA2miVotnupDBRzMdYomradDHPo8eUIpCMvaPY+LeVWCNYG5AJ6HTgeum8pAS7G4eMIl3tkzS2I8xs4OdnZQLMI00WhcKMGkgIMBcK1CkPb+vs1XLqUgnDfA7UjKwZrAzEkQwHHQbiv9KS6nycnbmsytYDlz5CZD9iZjf+UwG3W6JWRU5t49bGyg0VhQ/9VwMDdqBGrFQWP1qFRo5i64Llr8WlAK1gQmMr6PdhuOo1bQRc6FM4xw4m3CncZTXJE0N70efB9C0Bu+bhfdLioVOM7cTk4NB3PTxH83kz706RD7Dm7x/nSFMAwaBzMcwvdTNk4747AmMBEIAtj2q+YXckqlV73EyuqJNDeTmIfvh/1ZtHm33V2sr2Nra77L5KUXL14s7SnNwLZtAC35fL8wECQe3lot4pM0NKKMBI7oBsceBXhQX+4Rt7fk3VcIlMvLPeo85n3nMEuHNWEKudGEKdi2EnEX2TNcqyntWiIiBNptYitTKsHzosar1IjBAHi3TqBWablykbRmTDhIbru9YaBYpIlqOg47GMVgTZhCbjThTDwPlkWf/tjYQL2eqRI6wwiV0HWxvU3zL7y3h2o1qolRYB6MhEoyHtqUV5lU8LiX5GlUcjAew3FojmbOhjVBWZLVhBPYNmo1SvtSLGJrC6MRXDdT9mVCoQDLgu9jexsaxfJlaWKioIyDWSlgfZPg3N/G+Er5+xYtyd636ksOTk9he5vsaAW5dIng12thMNYEZSGKwQQBqtVwrAgJxSLabfg+Wq1cTJCybfg+NjYIjt7bg23P/m3KOBgA7ydeuCf5sYtHcU8KzAyHfsKRfMNAqZTkga8YDjmRFOIRZQlOzgRiTVCQxDVBIu0L4Y7orS0IAStn5rZQgOtia4vgaMdBMCsYqpKDuarTXLkAfGXxctqz+YYgLtFoJH9myPb27PdMHugRZQlOOhjWBAWh0ARpX6hmmZRK6PfzEnc5k1YL7XbSh0bJ7KvkYEB35ZJxY05+n+DQx4CgT9GyUCwmfywAjMe5u2OdSezrS6JQLJ71CcGaoBQUmkBrXzY24HmUE8MVwbLw4kXSv2YmkhRzMFd13KYIVwEI9rBLNxRWTeiqAZpEH1sAut28l/Q6Dk2Z5Nm1e6wJSkGhCdvbZPZlcxOum9/Qi/oo5mAAvN/EGxTVzwCCPa7ge8W3LYKhqC8hDMMAsG2IHCcQqCqaa7VzHmBNUAQKTfA8stJdOSWWURn1HMxKAR/QvWoGOxw6BoB9h2Ai6usQFtWOxzDNnBbE2DZNAEZurD0b1gQVINKEKA0py0DTaHKpzFyo52AA3DTxDkX/lmSwg91qrgVr38FDItk4hmmGW9BIGA5RrebOxAhBdumcMVeDNYEWIk3wPLL8UZ7rdlOEkg4GwAcOWdwYQLCHL4ycdiLsO/i6gd+oJ3UDAByHZp6SRE5Vyo+JCQJYFtk08dkNaKwJVNBpQqeT/JkAoGlc0Z8OVHUwKwVUSAdXPx1it4r9PGVBjwJ8ZeFrulbmU+g6ZUkvXpoYPw17ci6OaZLddyuVCL0erAnJQ60JVHOJMjlpN5Oo6mAArBn4Y+Id6Mf5bYyvG/jSzEX0eCSwWyXpnZ6ObdNMhJywtwfDyH5hr2VRzgqL6lNZE5JEAU2gWh1AtV+WmReFHQyAWxbZPKsJP3bxqZ7lAZ1HAR7a+M8yyZzNKDgOZV8SgPEY5XJmx/UGAQwDO3SfUxsbUXegAKy2i5qYAAAKp0lEQVQJiaCGJhBeG9K+Yjo/qO1gAHzg0AvWb2M8qGO3isPMpRP2HXxh4G90i0YiIMdaExbESJrNDGaUhIBhkCWPAGja/NaQNWGppEETGEaivIMBcKeFAtGmnOP8vIu/ruMrKyOa9cjFpzq+buAp9Yr6CBiGEiGQ3V0YBll7Z+zYNsplyh2/AFqthe67rAnLQDFNIByDm5/6/bSTBgcjK/hUECwAg53Ua9a+g091PKgrolMRsSyCxRynGY9x7x50Pd2jrjwPuk6541eysbFoxwdrQryoqglU6eN+n+ZcZl7S4GCgmGDhpWbtVtOUCz/08dBW6o41L5ZFNi72BMMhGo1U+hjPQ7WKWo049AKgVLrYvx5rwsVRXhPmKJCKFaoeKGZeUuJg8FKwyPPfx/l5Fw/qcAt4aKs7KOIowL6D3Sr+uo6/3VNTp6Jj29hU5iUgfUyhANtOQX2M48AwUKtR9hxN0DQ4zoUnhrEmLEZ6NOHcRRNLZm8vBe9oBsClFy9eUJ1t2zaA1rwFDl9ZCjb9AsBqETdN3KjhugLb4A59PHLxpI8fu9RPJQK3t3BnjpeB40QYgJY4lQrqdZimWqM8XRe9HlyXbFTdaTQt7mW/rAlRSKcm6DpNvHBjg7cKpIAUOhi8nBGpLG9ouF7FW2WsGYkq10hgJPCkjwNP5XvVGczpYKCqiZGUSmGmhioG7vvwPPT7ahkXSfz2RcKacCbp1wTCd3q7zZN5VSedDgbAgYcvTUWG38/gWgVrBv5lDWsG1gysxHRDPwowEjj08Y8BRoJwj3QMzO9gAHgeTFO5T+gTyGmz5TJ0fYm9FUEAIdDrwfchBH2Ny3ksy75IWBMyqgnVKk3qc7kvVyYOUutgABwF+NJM5bu0UMJKAVf1ULneXMfVqR2lRwGevCyOl8n1NP6tp7CQgwHg+5Sz8BegVEKhEGpiuRzmmwwjUuJJ2hRJrwcAvo8gUKKuJQqydHe5nwesCZnhmCYEAXSd5q7CJmaC72N9neDcTmfakoffJfhM4kbW8T200zd8SU66zJjiUKDr8Dxsb9M3BkdEmq20eI4YqVTgusuvEGJNyCKFQthDl7yJkfO4OZ0E0PwLaNqMXHx6epHO404LH/YVaqrMPO+Qrik6RaGAVgudDv3QXuY8trbgeQkWOLMmJMzyNcEw4Hlk7/FGA6aZ6zF3VHvTLGuGbqTfwQBYM/CRwO0t6ueRdd7Q8KcOPlBxBIppwveJd0AypykW0etRzFNmTUiGBDVBmhiqGXfdLnQ9O/O4oxMEME2avWml0mzpyISDkdxp4d8GuFahfh4ZpVDCRwI3TawUVAvDSOT6pE6HeA0kM2FrC0KQNWQBrAlLJnFNkFviqS4qk3ncrVZe4jGOA11Hl6L7vlSKNFcwQw4GwFUdFQ9/6mCVP8Ri5fYWPhKvSgtvEM2ZioBpQghs8d2blFIpDL3Qj8ZhTVgSRJogLyrb22QZpeEQzSZ0HZZFuT17qQRB6F0aDZoCamlfoqhHthyM5KaJT3z8sc2aFQOrRfxr72Sj0M3zS8MVQFbGDAYKTe/ND5qGdps69HIa1oQYUUATbBtCUL7Bx2Ps7IRTEuSTyQauC8sKvQvVUIaNjTnK5rLoYCS3rDARzpq1MLe38Il/xgAuVRNJx5FLiwYDVDiHkAiahq0t+L7CXRusCRdHGU2Qb/Bej/gNPhzi3r1wMoJpotVKn5vxfThOOEy8XsfODtmQLU1DpzNf02Ka58FEZ9/BN9spG0lJy7UK7rSwdv4YhHhHoC46DyYivo/tbZpitDygabAsNJsK5Iyiw5owLwprghypoNSQAjnKcn0duq5YPBIQAr6Pfj8c3q3IUNCtrUU0JB8ORrLv4IcOT1yYwWoRd1qzY8JHAbprsR26ZAcj8X2023AcVd6xGaBYRLOpcNBlJqwJUUiJJgiBdlvFTRoAikXoOnQdhUJoa7D8zdtCIAgQBOj3X/2vgvM/NzfD0qIFyJODkYwEvm/jkZuO6eNJslrE+03civxx9KUZ24q4RByMJAjgumi3VXwnp4jNTdTryl0uF4Q14TxSqAmyCrXTSdMb/HgiTLqcuQiC1zZpC6GihztNsQjTvGjsNn8ORnIU4JGL79vhKMycM69OSWIMGifoYCYIgU6HQzLzUSqhXp89ZiqVsCYcJ/2aIGOurqvumrB8omkwzdjuP3l1MBPkxvkfOjmVrWsV/KGxYB9BjEFjCgczwXXR6ykafFYEaVxMc8FIb8pgTciWJggBz0Ovp1ahTN6QxqVWm7bkaAFy72AmSNl63MtFUny1iJsm/tCYsT1uJnEFjUkdzATXRb/Pl7ZXbGygXM6NcTkNa8ICKKwJQQDP4/d4osiK5np9Wdsx2cGc4ijAgYfHPRx4WWtVeEPDTRM3arENb4graKyGg5ng+6GbUadQPzGk4tRqWalxiQXWhOikRBMmbkYIjs3EidzFqOsJaQg7mKkc+jjw8KSfbuUqlHC9infr0zohFyOuoLFiDuY4MgQ9GMDzsnlvS1hxUg9rwnTSqQmeByEwGrGhmRvZZmUYKJdhGEnHay/qYIQQ7Xa7UCg0m83C69V9Ux6SpMDBHOcowEjgcQ+HPkZCdfG6VsGagbfKuF7FyjKrLkcCRxfeEXJVv2jsOhGCAEKg14Pvw/fT1OxwnFIpbOwkUZxMwZpwJunXBNl43OuFbT7saSZM/MraGgwDhkFc1H8hBxMEgWEYrVbL9/1OpyOODSOc8tCElDmYE0jxGgn83wgjgUOfUr/e0LBmYM3Am+u4qp8xMZNZDp4XjluQSqdaH+PxKRRyAvqSstEMwJqQZeTt5fhsFSDLzqZUQqEQSoc0K1JJVONCDsZxnMFgIC2IYRiO4xgvBXLKQxPS7WDO5NAPf/1jAACjl74trkpAuWV3pRDeTt4qY6XA2qQaUul8H4MBAPh+uMnW92POQ2naK0cy+aJWA6Co3OQR1oSsI9/vAHq9V9+ZfKHUlUZypm7IxQiFQsouOb+7yB8eSIUGAFSr1eDYxvHTD929e/e7774D8Msvv/z6668Anj59+uGHH0ofk1GMU1/g1tX/metH7B++d/6DfQBA7/zfkBqOjo5WVlaon8VSmDiJ49Lw/PmVg4O3F/hp16///fLlZ1N+Qy/lL4cMvxIAsCZEJ72vhNP+AMDBwdvPn1+Z/O94vDYev3XeT/j559nicO3a38976MqV/z3xqKaNNG005afJ2BKATmfmyUmzvr5unTP5+0IO5gTHHUyUh1ZXVw3DePLkSYzPQX1Oq4/rutVq9cxSISarXL787L339k98k18J+YQ1IQ9cv36u4ZgCvxKmE5uD8X2/JuPX5zx0//79uM7KHvV6/XSWjckh/EpgJPxKYCT8SpjChepghBC2bXueB0DXdSHExCpOeYhhGIZhGOaCXLSbWmanfN+XnUcALl0Kf+bphxiGYRiGYWIhhol2slP6zDDXlIcYhmEYhmEWhnImL8MwDMMwzGL8E/UTYBiGYRiGmRt2MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpA92MAzDMAzDpI//B2YCgAWVfXr/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logo(pfm[:4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.8.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}