{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "57b20b67-4e25-4965-a52b-646444440043",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Align two tracks \n",
    "\n",
    "Align two tracks with different coordinate systems with a geometric affine transformation.\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\" style=\"padding:1em\">The function to map a track on a track is: <b><i>mapOn</i></b>.</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00056bc1-5ccf-49fd-b634-13603ba2664d",
   "metadata": {},
   "source": [
    "## Importing Tracklib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a1d8611a-73a6-418e-b5fd-16331bfb9201",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Code running in a no shapely environment\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import sys\n",
    "\n",
    "# Import the Tracklib library\n",
    "import tracklib as tkl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cfe6964f-fdff-40a0-9c05-47f4469432f2",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generated track from 05/02/2042 00:44:56 to 05/02/2042 01:44:56 [360 pts, 159.24m]\n",
      "360 360\n"
     ]
    },
    {
     "data": {
      "image/png": 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rVwPlywO7d0srCzmO1H5+a+/6ISLL27NHWk/i42XF2pAQ3RERPZvBAHz/vZTaP3QIGDFCd0SkCxMVIgcXESG1Uu7dAxo3lj/+LvyfT3YgIACYP1/2v/ySU5adFf9cETmwq1eBpk2lRH6lSlJUy81Nd1REqde8uYxVAWQW0K1bWsMhDZioEDmoBw+AN94ATp0CihSRvv4cOXRHRZR2U6ZIQbgrV4D+/XVHQ9bGRIXIASUkyGJv//wjiwuuXcv1e8h+ZcsmM9ZcXIAffwR++013RGRNTFSIHNDIkdLNkzUr8OuvQMmSuiMiypgaNYAhQ2S/Z0/gxg298ZD1MFEhcjDffw9Mniz78+YBderojYcos4wbJzVWoqKAvn11R0PWwkSFyIFs2gT06iX7Y8bIVGQiR+HhASxcCGTJAoSGSqshOT4mKkQO4sgR4O23gUePgPbt5dsnkaOpUsVcU6V3b5nZRo6NiQqRA7hxA3j9dcBoBGrXli4fg0F3VESWMXo08OKLsnAhZwE5PiYqRHYuLg5o3Ro4cwYoWlQGz7q7646KyHLc3KQQnIuLdAGtXq07IrIkJipEdm7AAODPPwEvL2DlSiBPHt0REVlepUrAoEGy37s3cOeO3njIcpioENmxb78FvvlGunl++gkoV053RETWM368FDO8cAEYNUp3NGQpTFSI7NTWrcBHH8n+xImy0iyRM/H0BGbPlv2ZM4Fdu/TGQ5bBRIXIDp05Y57h064dMHy47oiI9Hj1VanCrBTQvTsQG6s7IspsTFSI7MydO7KGz40bQOXKUuCNM3zImU2bJmOzwsNlXSByLExUiOyIaQ2f8HBZu2fFClkHhciZ5ckDfPml7E+YABw/rjUcymRMVIjsyLhxkpy4uck05AIFdEdEZBvatweaNpWunx49pCuIHAMTFSI7sWQJ8Mknsj9njizSRkTCYABmzZIBttu2ySrL5BiYqBDZgfBwoHNn2Q8OBt5/X2s4RDapcGFZ4woABg8Gbt3SGg5lEiYqRDbOaARatQLu3wcaNQI++0x3RES2a+BAoEwZ4No11lZxFExUiGxYQoK0npw8CRQsCPz8s6wcS0RP5uYGfP217M+aBfz7r954KOOYqBDZsM8/B377Tf74Ll3K8vhEqVG/vgyuVQr48EMgPl53RJQRTFSIbNTGjcDIkbL/1VdA1ap64yGyJ1OnAt7ewJ49wHff6Y6GMoKJCpENOn8eaNtWun66dgU++EB3RET2JW9e4NNPZX/ECODqVb3xUPoxUSGyMQ8fSnl8U+XZr79m5Vmi9OjdG6hQAbh9Gxg2THc0lF5MVIhsTL9+MgAwVy4Zl+LhoTsiIvvk6ioDagFgwQLg77+1hkPpxESFyIZ8/730pxsMMsOncGHdERHZtxo1gG7dZL9fPw6stUdMVIhsxN69QJ8+sv/JJ0DjxnrjIXIUkybJwNp9+4D583VHQ2nFRIXIBty6BbRuDcTEAC1ayOA/Isoc/v7A2LGy//HHMmaF7AcTFSLNlAK6dAHOngWKFAF++AFw4f9MokzVty9QqpRUrJ0wQXc0lBb8c0ik2Zdfmou6LVkC5MypOyIix+PmJv/XAGDmTODoUa3hUBowUSHSaNcuYOhQ2Z8+XaYjE5FlNG0KvP468OiRrAmklO6IKDWYqBBpcvMm8O678kezTRsp9Z3MkCGywE+pUkCdOkBEhJY4iRzJ9OlA1qzAunXAqlW6o6HUYKJCpIFSQOfOUoG2WDHzlGQAMn9y3z5gxgzgwgXgxAlg+3a5T0QZUqKEtKYAso2J0RsPPR8TFSINpk0Dfv8dcHeXcSk+PpCStCtWAFWqSB9QXJycHBws22XLpKa+ozp2zPw7E1nQqFFAYCBw6pR53ArZLoNS9t1LFx0dDR8fHxiNRnh7e+sOh+i5duyQnpz4eGBWkc/Rq/BawNMT2LoVuHs35RPCwoC6dQGjEVi9WlZZCwuTlQrz5097AErJssyHD8vPzZ4d8PMDXnoJeOUVwMvr6c9NSAD+9z8Zmdi795Nr+69fL0VhBg+WNvbUGD1aFmapUkWe7+ub9t+LKA0WLpRWTS8vabTMm1d3RM4n1Z/fys4ZjUYFQBmNRt2hED3XtWtKFSigFKBU22K7VYKkDeZb/vxKDR6slMFgPvbwoVKdOiU/D1Cqdev0BbF3b8rXMt1eeOHZz/3xR/O5u3alfPzePaV8fOTxAQNSF8/MmcljqFJFqZs30/xrEaVFfLxS1arJW+6DD3RH45xS+/nNrh8iK0lIADp1Ai5eBEqWBOZ49IMBAAYNkvbnf/6RQStTpgAjR8qTXnpJ+ofeecf8QkWLSqGVpUuBv/5KeyBr18q2UiVg3DgZtNu6tRwLD5d04fZtienMmeTP3bvXvL98ecrXXrxYWn4Aef6SJc+OZelSqWsOSAtNnjyy0FGzZsCDB2n7vYjSwMUF+OIL2Z83Dzh0SG889AxWSpwshi0qZC8mT5Zvbx4eSh3YcVcpFxc5cPlyypPj4pT65hulTp2S+wkJSk2frtTcuUrFxirVvbu59SE+Pm2B1Kkjz/3mG/Mxo9HconH/vlJdu8p+jhxKLVhgPu+tt8znNWmS8rVr1pTHSpSQbcGCT48vIcHcvNSnj9w/eFCpXLnkWM+eafu9iNKhdeunv53JslL7+c1EhcgKdu1SytVV/iDOmaOU2rRJ7hQqlL4XjIxUystLXmPRotQ/z2g0B2JKgpSS5MeUgERGKpUzZ/LumO++k/Nq1TIfy5cv+WsnJCjl7i6PHTpk7gLavPnJsVy4II9nySJdRibr1slxT0+l7t5N/e9GlA4REUplzSpvubVrdUfjXNj1Q2QjjEagXTupl/JOq0f4wCtUBo8CsrRregQESJcNAHToIDNmnmTDBqBiRakZ/uABsHu3BFK0qNxMsmYFsmSR/eBg6frx9zf/jL59gePHgVy5zM+5fFmmTZs8eGCe61m4sLm76ocfZHvjhtQvN9m9W7YvvCCDek1efVXWErh/39xNRWQhxYrJ2xuQ8d9cXdn2MFEhsiClgF69ZKhHYb97mP1HQRjat5OpPwDw5pvpf/GuXc37ZcrIDJzy5WXMS0yMJBJt28oMobFjJRl49VU5PzY25etlyybbRYtkO3my3OrVk9f75RcgX77kz+nQQSrV5c4NVK0qx7JmlZlE778v95culXmgFSoApUsDR44Aly6ZExXT80wMBuDtt2V/2bJ0XBiitBk1SiaahYfLeBWyMVZq4bEYdv2QLZs3z9S7kaB2BP43vqNoUaVGjpTukYx6++0nz9759VelGjWS/dKlZazI4+c8ztfX/FhIiPn4rFlyrHJlpapWlf1OnZQqXvzJPzsgQJ6XkCCziABzN5Xp5uGhlJub7CcdA2Oya5f5eY8eZfw6ET3H9Onmt++dO7qjcQ52MUalUKFCCkCyW0jSP5CpwESFbNWxYzLMAlBqYs9z5g/e+/cz9wedOqVU4cLyF9Y039I0SDVbNqWOHpUBrdeuPTtRSfpYTIz5eERE8se8vJTatk2pffuUKldOkqU1a5Tq10/Gv7RoYX7uuXNKlS//9OnQgFJnz6aM5ehR8+OxsZl7vYieICZGqWLF5C03erTuaJyD3YxRmTBhAq5cuZJ4++ijj3SHRJRhMTHS63L/PtCgATDM/Ut54M03zV0smaVoUVkH6MIFoFEjOXbxomynTZPuFhcXmfqbGo0aSUG3pK9fpIh5f9cuKQxXsaK0lS9dKtOJZ8wArl9PPm25YEGZQt2kidxv2dK8D0jBukKFUsaQdGpy9+4pH9++XaZWjx/ParaUKdzcgM8+k/2pU83/hcgGWClxeqJChQqpL774IkOvwRYVskX9+8s3s9y5lbp0IV5myABKrVxp2R9s6msCZIbO41ODn9WiMmGCUhUrPnm69Pr1SgUHK3X9evriio9X6uRJ6Q5SSqkVK6TraMOGpz9n/nyZEQQotXy5+fi33yb/PebOTV9MRI9JSFDq5ZflbdW5s+5oHF9qP7+1ltAvXLgwHj58iLi4OBQsWBDt27fHwIED4erqmurXYAl9silKYdWQrWgxrR4AWc/nde9tUgI/Z04gMlIKuFnKX39JawcAHDgAvPhi8se/+w7o0UNaQUwDVm3Zxx8DISEyWHfbNhkY3KFD8nNef10uNFEm+OcfmYxnMMjaoBUq6I7IcaX281tr10+/fv0QGhqKLVu2oGfPnpg0aRKGDh36zOfExMQgOjo62Y3I6rZvl6m/j7k8eha6TCsHAOj3kcLrrwNYs0YebNnSskkKANSqJXMsf/wxZZICSDfK/fv2kaQAMlupalWZ2tywoSRZgFSzPXhQ9jdsePIaSUTpUL26dNsqJTP17Xs1PAeR2U05w4YNSzFA9vHb0aNHn/jc77//Xrm6uqqHDx8+9fXHjh37xNdk1w9Zxb17UmLWxUXW49m/X45/+aV6NHSEaoCNClCqAvaph0HFlerSxdxFMWOG1tDt1vXryQfkNmggM4ESEmQGFaDUsmWyPtDs2VwniDLszBnzpLTff9cdjePS1vVz7do13Lhx45nnFC1aFG5JB+v95/Dhw3jhhRdw7NgxlCpV6onPjYmJQYypqBSk6SgoKIhdP2Qdb7yRvJvhjTeA334DDAZ8hqEYjs/giXvYi8oojePJn7tyJdCihXXjdRRXr8q1MxqBLVvMS9127w7MnQu0by9F7/btk7ouX3+tN16ye0OHyrJbpUvLOkBpGJFAqZTarh+tY1Qet2jRInTq1AnXr1+HbyqXeecYFbKKR4+kMusLL8j9XLmkemtCArBnD/ZW7Yka2IVHyIq56IZub96QNeR//NE8C+bgQSnIRumjlFxvUwVdQFaVGzQo+XmBgVJQzkX7pEayY7dvA8WLS6/jrFlSuJEyl82PUdm5cye+/PJLHDhwAKdPn8aiRYswcOBAdOzYMdVJCpHFnTgBREXJ2AhTkgLIKsf/Deq8P3IiOmARHiErWmEZup4eDaxYIWNSTPMdAfMUX0ofgyF5kgLIWBuDQfa9vQEvLxmwvGuX9eMjh5IzpwyRAmQmPIdB6aMtUXF3d0doaCjq1q2LcuXKYeLEiRg4cCDmzJmjKySi5G7ckBaQwEBg/nzzcXd3KRE/ZgyQJQsGr38Vx1Ea+XAJc9AThiKFzecWLw6EhsosGy8vq/8KDq9gQUkYfX2B1avNXWsrVmgNixxDz55SOigqShrvSA+b6vpJD3b9kMUcPAi89FLK4z16ALNnAwBWvRyCFjtGAADWZ2mGVy/Ol8SGrOvRIxlEsGSJLIZYvLi0hplaW4jSKTRUFhX18gJOnwb8/HRH5DhsvuuHSLu7d6Vy6x9/PPnxR4/M+7lyAefOAd98IysRQ75ldT3QDwAwAF/g1Q7+TFJ0MY10bNpUWrwiIqRqLlEGvfMOULmy/Ln45BPd0TgnJirknNaulTEngwdLWfvjx1Oek7SM+4YN0s3QuzcQEAClgG7dgGv3sqM8DiIEI4CBA60XPz1ZjhySrAAysIAog1xczEPNvv1WFgIn62KiQs4lLk5m4zRrJi0kLi5yrG/flJWdTp+Wbf36QKVKyR769lsZEuHmprAoe094vPMmS1jaigkTZNDt8uWSkBJlUMOGskRVXBwwapTuaJwPExVyLgsWAAsXSoIycCCwf790FWzcKOMbkjpxQrYlSyY7fOyYVKwEgMmTDSh/ezvw00+Wj51S58UXgf79ZX/QIJnSTJRBkyfLkKfQUGDvXt3ROBcmKuQ84uKASZNkf8oUYPp0+VD7+GM5NnAgcOeO+fzt22WbpPZJbKxMMnnwQBYZ7t8fMj7i8WmzpNfYsTJd+ehRtqpQpqhQwbzM1LBhLK1vTUxUyPHFxgJffSWDSs6eBfz9k1dvGjoUKFYMuHwZGD9ejt26JQv8AUDz5omnjh0rxU9z5TI3zJAN8vaWqrWAJKVsVaFM8MkngJsbsGnTE5f6Igvhn1lyfLNnAx99JFViAWDIEMDT0/y4h4e06wJSDh+QhQTj44Fy5RILtW3dah5UN2cOkC+fleKn9OnXD8iaFfjzT2nx+vBD3RGRnStcGOjTR/aHDWP+ay1MVMjxbdpk3q9USWbuPC4gQLYuLvLXZ+pUud+qFQApp92pkzT3duliP4sPO7WCBYGJE833Z83SFws5jI8/lga7sDDg5591R+McmKiQY0tIMI81+ftvYPduqSr7ONNCl+7uMqg2LEymuv43KLNvX6maX6wYMGOGdUKnTGAa9UyUSfLkAYYPl/1Ro8x/OshymKiQYztyBLh5U7p6qlZ9+qBX01+bqCjz4NrBg4HcubF0KbBokTS2/Pij5C9kJ1xcpJ8OSDF7iyi9+veXrt+zZ9lQZw1MVMixbdsm21q1ZLzC0xQpIo9fvSr1U/LkAQYORGSkedztiBFAzZqWD5kymenfvVgxvXGQw/D0NI+7//RTwGjUG4+jY6JCjunkSeD//g+YOVPu16nz7PPLlpXWl4EDgVKlgK++gvLKge7dZW3CChVkDUKyQ6YKw9my6Y2DHErnzkCZMvL34fPPdUfj2JiokHUYjTJeoFSplIXVMttXX0kz/3vvSXU2X19zAYRnKV5caqscOwa8+y7mzwdWrZLpiD/8IFuyQ/fvy9bTUz5VmjSRAdWcskEZ4OoKhITI/hdfSHUDsgxX3QGQE0hIkKJpFy7I/XfekcJqXl6Z/7MuXzaPdKtWTVpSgoPTvFjgmTPm4qaffpqs5hvZG1OLipubTN1av17uFypkfq8QpcMbbwAvvyzj9MeNMw+HoszFFhWyPKWkyFpSlvofPWIEcO+eDCbZtUuKfaUxSUlIkCnId+8CtWtLFXayYz4+sl24UOrjmAZUjxolnzBE6WQwmLt9vv9eCiFT5mOiQpaXJYuUdE1q6lQgOjpzf84//0gfDSBziA2GdL3MjBlS3C17dlkaiNXx7VyHDvKPGR8v3T9LlgDt28v9rl1lS5ROtWoBLVvKFxzThEHKXExUyDpWrJBtz55AgQLAlSvSytK8uRRk27xZphGn1tChQJUq5oUDExLMfTXvvy9TkdPhyBFplAFkuAonijiAXLmkOvFbb0kdnbfekjmlvr7y/jFVIyZKp5AQ+UKzYgUb6SzBoJR9L60UHR0NHx8fGI1GeHt76w6HniQ+HsibF7h2TVYpBoAPPpAiBEm5uEiCMXy4fEV5mgMHZBqOyY0b0qT/3nvyzfnEiXTVt4+LA2rUkLV8mjUDVq9Od6MM2YPRo2UAkp8f8PvvMqaJ/+CUTj17So92zZqSrPCt9Hyp/fxmiwpZ3q5dkqTkzCmDWxs2lFolu3cnPy8hQbpvRo+W1pXTp1POzDhyRJYtTurNN82DIkeOTPciPBMnSpLi6wvMncs/NA7vo49knadr1yRDLVpU3ntRUbojIzs0bpz0LO7cCfz6q+5oHAsTFbI8U7fPa6+Zi28ZDCm7Z+bPl214OJA7t/S7VK0qi8oBUoytSRPg+nXp9tm+XRbd+Osv4NIlKdo2cGC6QtyzR75cA9IrwAUHnYC/PxAaKlM3vLykhe/TTyVhGTFCVt0mSqW8ec0rNowYIS20lDmYqJDlrV0r2xYtUj42ZYpsJ02SGitJZckiTRz160tXUOvWwMWLct66dTIl59dfzcnPlCnyDTmNHjyQWavx8UDbtsC776b5JchevfmmjFGJipKkpVo1qbsyeTK/FlOaDRkiPYknTsgsIMocHKNClhUVZZ4efO2alKZPKiEB2L8fqFhRxqhcuCDfZPPlk/nB48bJQEjTzAwvL+kyKlPG/Bp//SUrBrZrl67+moEDgS+/lG9E4eEy9pKclFKyYvaKFZL4Dh6sOyKyM199Jb2KAQFARIRlykU5Co5RIduwebNsK1RImaQAkpxUrixbAAgKki6fbNnkq8nXXwOHDkm3UY4cUhY/aZICSMtK+/bpSlK2bJEkBZBvQExSnJzBIF2IgHQ1EqVRjx5S5DoqCpg2TXc0joGJClnWpk2ybdgw/a9RpozUsjcapak+k0RHS2E3QEbsN2uWaS9N9sxUnJCDaikd3NykJxuQRjm+jTKOiQpZVmYkKiaZPA1n8GDg3DkZOzl1aqa+NNmzgADZskWF0ql1axnudO+eeZVlSj8mKmQ5p0/LTIqsWYFXXtEdTTLr1wPffSf78+axH5mSMLWoMFGhdEpaWn/OHHNdSkofJipkOTt2yLZqVZvKBIxGoFs32e/XD6hbV288ZGOYqFAmqFsXeP11mQfA0voZw0SFLGf/ftlWrqw3jscEB8ss52LFzH3JRImSdv3Y96RI0mzyZJknsGyZFIKj9GGiQpYTFibbihW1hpHU2rUyu8dgkPpy2bPrjohsjp+fbGNjpfmNKJ3KlTMP2B86lHlvejFRIctQytyiknRdHo1u35YlhgBZv9DGhs2QrciWTabCA+z+oQwbP17eUn/9JUtKUdoxUSHLuHABuHULcHUFypbVHQ0AYNAgqbRfooSs60P0VKbuH84tpQzKnx8YMED2hw0DHj3SGo5dYqJClmHq9ilbFnB31xoKICshz59v7vLx9NQdEdk0U/fP9et64yCHMGyYLF927Jh5STNKPSYqZBk2ND7l1i2pFglIufyXX9YbD9kB05pRMTF64yCH4OMjC3MDwJgxUl+FUo+JCmWey5dlOg0AHD0q23Ll9MXzn4EDJbSSJc0rJBM9k2mhSy6BS5mkVy9ZnSEykqX104qJCmWO27dl0Gz58rL4oKnCUcmSOqPC778DCxfKFMEFC2RQG9FzMVGhTObuDoSEyP5nn8l4OUodJiqUMUoBo0YBvr6SoNy+DQwfLp2xgIxc1eTmTVnDB5CBtDVraguF7I2bm2zZ9UOZ6J13pOv5/n35M0mpw0SFMmbz5pRTaObNk/+JpUtrTVT69weuXAFKlQImTNAWBtkjHx/Z3r6tNQxyLAaDebX2//s/4J9/tIZjN5ioUMZ88415v1o182yJRo2AbdvMTehWtnKl/CFglw+lS+7csv34Y878oUxVpQrQubPsDxjAInCpwUSF0u/SJeC332Q/PBzYtUuSk2XLpASsKWmxshs3zF0+gwcDNWpoCYPsmSlRAYCZM/XFQQ5p0iSpir1rF/DTT7qjsX1MVCj9vvtOVtyqU0dm9xgM0t3TqhWQJYu2sPr1k5H1ZcpwiXVKp3r1zPtHjmgLgxxT3rzmhQqHDeN05edhokLpExcniQoA9O6tN5YkVqyQbyimLh9TOQyiNKlZ09xaGBGhNxZySIMGAYULS8P055/rjsa2MVGh9Fm5UoqT+PtLC4oNuHFDahUAsgBYtWp64yE7Z5paf/IkBxJQpvPwAKZMkf3PPwfOn9cbjy1jokJpp5R56PoHH5incmo2cKAszVKmDDB2rO5oyO4VLSpNc/fuSV8iUSZ7+23pOX/4ULqA6MmYqFDarVolS4F6eNhMt8/q1cCPP8rnyvz57PKhTODmZp5e/+OPemMhh2SarmwwAKGhwI4duiOyTUxUKPWUkm+WQ4fK/QEDgAIFtIYEAEajeZbPwIFA9ep64yEHYqrKNX482+bJIipWBLp2lf3+/YGEBL3x2CKLJSoTJ05ErVq14OnpiZw5cz7xnPPnz+O1116Dp6cn/P39MWTIEDziGti2SSmgSxcZrn7sGJAnj82UVhw8WAaklSgBfPKJ7mjIobz/PvDKK1LAsH9/3dGQg5o4EciRA/j3X6mXSclZLFGJjY1FmzZt0PspXQPx8fF47bXXEBsbix07dmDhwoVYsGABxowZY6mQKCN+/lkWzTEZM8ZcvVOjDRuAuXNl//vvWdiNMpnBAMyaBbi6ypSyP/7QHRE5oIAAYNw42R82jDUGU1AWNn/+fOXj45Pi+Jo1a5SLi4uKjIxMPDZr1izl7e2tYmJiUv36RqNRAVBGozEzwqWnKV9eKWlXUSpXLqXS8G9kKdHRShUqJCH17as7GnJo77wjb7Rhw3RHQg4qLk6pF1+Ut1nXrrqjsY7Ufn5rG6Oyc+dOlC9fHgEBAYnHmjRpgujoaBw+fFhXWPQkR48Chw5JOfwFC4CwMJuY6TN8OHDunNQiMK1KSmQRpkU2K1fWGwc5LFdX84ok8+YBf/+tNx5boi1RiYyMTJakAEi8H/mMqYAxMTGIjo5OdiML++UX2TZuLH32QUF64wGwdav5P/XcuYCXl954yMGZ+hTj4vTGQQ7t5ZeBbt1kv1cvvt1M0pSoDB8+HAaD4Zm3Y6ZvHhYSEhICHx+fxFuQDXxoOqyHDyU5MXWevvOO1nBM7t83/2fu0QNo2FBvPOQETNUD9+yRZSPWrpU3IlEm++wzWWoqPBz43/90R2Mb0pSoBAcH4+jRo8+8FS1aNFWvFRgYiKioqGTHTPcDAwOf+rwRI0bAaDQm3i5cuJCWX4HSYvVqGa0KSGGSN9/UG89/Ro0CTp2SmdEsPU1WUbWqbDdvBkaPBpo1MyfwRJkod27z37WxY4GzZ7WGYxNc03Kyn58f/DJpRdyaNWti4sSJuHr1Kvz9/QEAGzZsgLe3N8qWLfvU57m7u8Pd3T1TYqDnWLxYtt7esu6JDczy2bnTXBR3zhybCImcgSlROXhQboDUP2emTBbQubMMB9y+HejeHVi/XiagOSuLjVE5f/48wsLCcP78ecTHxyMsLAxhYWG4e/cuAKBx48YoW7Ys3nvvPRw4cADr1q3DqFGj0KdPHyYituDuXalACwCbNiVfTVaThw+lMJJSMlSmWTPdEZHTMK3787g7d57/3Fu3gJs3uV4QpZqLi5Rb8PAANm40l2BwVhZLVMaMGYOKFSti7NixuHv3LipWrIiKFSvi33//BQBkyZIFq1atQpYsWVCzZk107NgRnTp1woQJEywVEqXF6tXAgwey3omNzHQYP14mXwQGAl98oTsaciouLlJL6HHLlj37eRs2ALlySXv+yy8zWaFUK1FCCsEBQHAw4MyjHAxK2ff/nOjoaPj4+MBoNMLb21t3OI6jVSvg11+BESOASZN0R4N//wVq1JBxjCtW2MxwGXI2bdvKyuGtW5vX/xk+HGjXDoiJAfLnB/LlM59v+n9kcvo0UKSIdWMmuxUfL4WRd+4EmjYF1qxxrC6g1H5+M1Ehs4QEqcJ55Ii0NcbGSs2Ul17SGlZsrDTqhIfL58STvtgSWcWjR5KQAEChQsCNG8kfNxikFaVhQyA6WlpT4uPNj3fuLKtmEqXSsWNAhQrytps/X95CjiK1n99clJDEtWvAa68BfftKgZLYWKBUKeDFF3VHhkmTJEnx8wNmztQdDTk1V1cge3a5jR+f8nGlpIVFKRmAnjRJAYAzZ6wTJzmM0qXNb7X+/Z3zLcREheSPatOmUhsiqffe097OeOCAuZ/2q69kLUQim/Dhh8nHqHTqBHh6Sj/lp58CoaHmxzp0kO3ly9aNkRxCcLAMcYqOBtq3l4Y9Z8KuH5JZPY0aSXnXUqWAvXvl+JkzUp9ek7g4oHp1YP9+6epfulR73kSUUv78koDs2AFs2QKMHJn88cOHZcmJEiWkJebOHb6RKc3OnZNeeKNRakk5wkrx7Pqh1DOVP+zcGRg0SPYLFtSapABSpmL/funm//pr/m0nG7Vrl6zpULOmDD7/9lvzWljlywNlywJ588r9e/fkazFRGhUqBMyeLfsTJ8pbzlkwUXF2p08Dv/8u+337yuyFxYuBf/7RGtaRI+Z+2RkzZEoykU0KCgLq1JF9gwHo2VMqdb3+urkgXPbsQM6csm9qsSRKo3ffBbp0kd76du2AK1d0R2QdTFSc3TffmMeolColf2jfeUdrZhAfL4XdYmNlfK+pe5/IblSrJl8AmjY1H2vdWraDBjnfIAPKNP/7nzTSXbkCvP22eRKapSilv/wPExVnFh8PLFok+717640liS+/lAYdb29p6mSXDzmESZOkVeXAAeCvv3RHQ3bKy0tqSfn4SH2Vfv0s+/NWrJBezY0bLftznoWJijPbuhWIjAR8fZN/89MoIkIGigHA9OkyTpHIIfj5AS+8IPvXr+uNhexaiRJST8pgkDXPZs2yzM9JSJC1N//5B/jzT8v8jNRgouLMTJXTWrc2D/7TLCgIGDwYaN5cun+IHEqOHLL9b80zovRq1sxcNLxvXynbk9mWLJE1OL29zfMsdGCi4qxiY801INq21RtLEu7uMu3u99/Z5UMOyJSopGYxQ6LnGDYM6NZNWj7atgX+/jvzXvv+fWDIENkPDpbZl7owUXE2UVHATz9JMbdbt2TaZN26uqNKwYXvTHJETFQoExkMMhu+RQtZXb55cynnkxkmTJCFEAsVMicsuvDjwJls3gwUKCDTaH75RY516gRkyaI3LiJn4eUlWyYqlElcXaUIcp06UqKncWP5U58Rf/0ldawAKQ+RLVvG48wIJirO5OefZVpksWIyEOSPP8z16YnI8jhGhSzA01P+nL/6qtQUbN7cPKEzrS5elHotCQnA++/bxkr1TFScyaZNsv3f/yRdbtqUrSlE1pS06yc6Wv5PWroQBjkFT09g5UqgZUt5S3XsKANg0/L2unpVkpzLl4Fy5cxFy3VjouIszpyRm6uruYomEVmXKVExGoEqVWSNrZo19cZEDsPDQ9ZEGz5c7n/xBVC1auoG2R46BNSuLduAAGDVKpntYwuYqDgLU2tKjRrmfnIisq6SJWW7cSNw8qTs79+vLx5yOFmyACEhMl3Zz8+cgLRoAaxZk7KF5fx5YOhQyZtPnpRl3rZv177UWzKuugMgKzGVFWzYUG8cRM6sQQOgQgUgLEx3JOTg3ngDCA8HRo8G5s6VFpJVq2RgbJkysvzU5cvAqVPm57z+upwbEKAv7idhi4ozSEgwDwNnokKkj8EAjBmT8rjuxVTIIfn7yzIkR48CAwZIAvLgAbBvn7SanDolpSDq1pUkZuVK20tSAMCglH3/D4mOjoaPjw+MRiO8baVDzdZERZkXGYyJsZkqtEROKSFBSoleuCCfDoCMH7OltnZySEoBx47J2+3OHUlkXnpJXzG31H5+s+vHGWTPbt6Pi2OiQqSTi4usWg4AFStKN9D+/UxUyOIMBun2KVNGdyRpw64fZ5A9u3kastGoNxYiMjOtExEaqjcOIhvGRMUZGAzmeWbR0XpjISIz04yfX36RLiEiSoGJiqPatQt48UWZRN+qlXlOGltUiGzD48MDLbH8LZED4BgVR7VsmUygB4B//zUft++x00SO49Gj5PcHD5blLV58UU88RDaKiYqjio+X7RtvyCpVFy8COXMC1appDYuI/pM1K7BiBXD/vixPe/q0tICGhAADB5rHrxA5OSYqjsrUclK2LNCnj95YiOjJTCu+NWwIfPAB8PvvQHAw4OsLdOmiNzYiG8ExKo7KNDCP38qIbJ+/v4xRGTxY7s+frzceIhvCRMVRmVpUXPhPTGQXDAagXz/Z/+sv4NIlvfEQ2Qh+ijkqtqgQ2Z+gIODll+WLxuLFuqMhsglMVBwVW1SI7FOHDrKdMQOIjdUbC5EN4KeYI9q/XwpIATIoj4jsR+fOsjbX+fMcq0IEJiqOqXt34Pp1oEoV+aNHRPYjWzZg+HDZnzjRXKyRyEkxUXFEJ0/KduFCqZ1CRPalRw8gb15ZYXnhQt3REGnFRMXRxMWZ1/Px99cbCxGlT7ZsUgQOAL76ihWlyakxUXE09++b903VaYnI/nTuLAnLoUPAjh26oyHShomKo/HxkbEpAPB//6c3FiJKP19foF072f/uO72xEGnERMURmQbQLlmiNQwiyqCuXWW7cKHUVYmIAEaPBo4f1xsXkRVxrR9HtHu3bAsU0BsHEWVMrVoyVTkyEmjb1nw8PBz49Vd9cRFZEVtUHM3p08CiRbI/bJjeWIgoYwwGmQH0uG3bgHPngJIlgY4dgago68dGZCVsUXE0U6bIINrGjWXJeCKyb0OGyGy+mBigbl1pWbl5E+jWTUoRnDwJrFkDzJxprmpL5EAMStn3vLfo6Gj4+PjAaDTC29tbdzh6KQX4+QE3bgAbN8rS8UTkWBo0ALZsMd93d5ckxmAADh8GypTRFxtRGqT285tdP47kwgVJUlxdZWEzInI8j//fnjpVWk+VAvbu1RMTkQUxUXEk+/fLtlw5wMNDbyxEZBktWpj3PT2BNm2AihXlPmcDkQNiouJI9u2TremPFhE5nmrVgAMHgNu35RYQAJQqJY+tWiX7Q4fqjJAoU1ksUZk4cSJq1aoFT09P5HzKejMGgyHFLTQ01FIhOT7TtORKlfTGQUSW9eKLUtwxa1a5X7KkbMPCgBMngFmzWJmaHIbFEpXY2Fi0adMGvXv3fuZ58+fPx5UrVxJvLVu2tFRIju3mTWDTJtlv0EBvLERkXaVLJ79/964MrCVyABabnjx+/HgAwIIFC555Xs6cOREYGGipMJzH8uUyhbF8eRmjQkTOo1gxYMQImQG0ZQuwdSuwa5e0vBDZOe1jVPr06YM8efKgWrVqmDdvHp43WzomJgbR0dHJbgTg559l27693jiIyPoMBmDSJGDsWKB2bTm2a5femIgyidaCbxMmTECDBg3g6emJ9evX48MPP8Tdu3fRr1+/pz4nJCQksbWG/nP5srmuQtIy20TkfGrUkC0TFXIQaWpRGT58+BMHwCa9HTt2LNWvN3r0aLz88suoWLEihg0bhqFDh2LKlCnPfM6IESNgNBoTbxcuXEjLr+B44uOBadOkhkLNmkDhwrojIiKdqleX7dGjMiuIyM6lqUUlODgYnU0r8z5F0aJF0x1M9erV8cknnyAmJgbu7u5PPMfd3f2pjzmd2FgZOPv333LftNIqETkvPz8Zs3LqlMwEbNxYd0REGZKmRMXPzw9+fn6WigVhYWHw9fVlIpJay5dLkpIjB/Dpp7L2BxFRjRqSqOzYwUSF7J7FxqicP38eN2/exPnz5xEfH4+wsDAAQPHixeHl5YXff/8dUVFRqFGjBjw8PLBhwwZMmjQJgwcPtlRIjufrr2UbHAw8Y1wPETmZOnVkFfWpU2Wa8unTwE8/mQvDEdkRiy1K2LlzZyxcuDDF8S1btqBevXpYu3YtRowYgYiICCilULx4cfTu3Rvdu3eHi0vqh8447aKEBw8CL70k6/qcOwfky6c7IiKyFTExwBtvAOvXm4/NmgX06qUvJqLHpPbzm6sn26uePYE5c2Sdj19+0R0NEdma27dlJeXISLm/YAHw/vs6IyJKhqsnO7Lbt4H/+z/Z79NHayhEZKNy5pT1v0ytrZ6eWsMhSi8mKvbohx+A+/elAm2dOrqjISJblTcvkD+/7DNRITvFRMUeffedbD/8UCpSEhE9zf37smWiQnaKiYq9uXsXCA+X/TZt9MZCRLaPiQrZOSYq9sa0ImpgoBR2IiJ6FiYqZOeYqNibQ4dkW7683jiIyD48eCDbkydlcG2JEsDSpXpjIkoDrYsSUhooBSxeDJjWQmKiQkSpYVph/u23zcfatJG/KUR2gC0q9uKHH4B27YATJ4Ds2YFWrXRHRES2Li7u6Y9FRFgvDqIMYKJiD+LjZS0fQAq9nT8PvPyy3piIyPZlyQKULSu1VHx8kj+2bJmemIjSiImKPVi6VL795Mola3fkyqU7IiKyBy4uwP79wJkz5i87Hh6yZaJCdoKJiq27dw8YNUr2+/cHvLz0xkNE9sXNTW59+8oaYSdOSP2lPXuAb7/lWBWyeUxUbN3gwdKaUqAAV0gmoowpXx4ICjJXtO7dGxg6VG9MRM/BRMVWKSXdPN9+K/cXLJC1O4iIMurrr80FI//3PyAqSm88RM/ARMVWjRoFDBli3m/YUG88ROQ4ypWTVderVwdiY4FZs3RHRPRUTFRs0Z49QEiI7E+bBnzyid54iMgxDRwo22++AR4+1BsL0VMwUbE1CQky6E0p4L33gEGDdEdERI7q7bdlzMq1a8DPP+uOhuiJmKjYmgULgN27gRw5gM8+0x0NETkyV1f5YgQAX3zBGUBkk5io2JKYGGDkSNkfOxbIm1dvPETk+Lp3l2rXhw4BK1fqjoYoBSYqtuSnn4DISCB/fuCjj3RHQ0TOwNfXXPpg5EiphE1kQ5io2AqlgOnTZb9fPynQRERkDUOHSsJy+DCwerXuaIiSYaJiK9avB8LDpfJsjx66oyEiZ5IzJ9C+veyvX681FKLHMVGxFabWlG7dWNiNiKzPVKtp61a9cRA9homKLTh0SL7FuLjIej5ERNYWFCTb6Gi9cRA9homKLZgxQ7atWgFFiuiNhYicU9KpyQkJ+uIgegwTFWs6cQIYMUK+uVStKisjKwWsWiWPf/ih3viIyHmZEpXz54GKFYFHj/TGQ/QfJirWMm4cUKoUMHkycPEi8O+/wOjRwMmTsiCYuztQq5buKImIgIMHgStXdEdBBICJinUsXAiMHy/7zZsDEybI/pdfmltRatSQZIWISIcyZYDixc3379/XFwtREkxULC0sTCo/AlJMafVqaUnp1EmaWjdtArJkAQYM0BklETm7HDmke9rkxx/1xUKUBBMVS1u/HoiLkxYTU0sKIOtqlCgBFCgAbNkCtGypLUQiIgCAwWDe37BBXxxESbjqDsDhlS0r2+homX5skiuXFHhzdU1+nIjIFrz7ru4IiACwRcXyTMXbHj5M+ZibG5MUIrItnTvLNjZWaxhEJvyUtLQLF2RrKqZERGTLsmeX7b17euMg+g8TFUu7eFG2BQrojYOIKDW8vGRrNOqNg+g/TFQsjYkKEdkT07i6X39l9w/ZBCYqlsZEhYjsybvvAoGB8rdr40bd0RAxUbE40xgVJipEZA/c3aWKNiCVs4k0Y6JiaaYWFQ6mJSJ7sXWrbFmIkmwAExVLiosDIiNlny0qRGSPuDghacZExZKuXJEy+S4uQJ48uqMhIkqdffvM+8uW6YuDCExULCtXLqlJkJAgpfSJiOxBxYrmhVQ//1y+cBFpwkTFkry8gJo1ZT/pYl9ERLbOtLL7vn1AvXpaQyHnxkTFkh48AP7+W/br19cbCxFRWiTtrt62ja0qpA0TFUvavFmSlaAgoHx53dEQEaXN/v3m/XPn9MVBTo2JiqWEhQHTp8v+668nXz6diMgeVKgg41UAYMcOraGQ82KikpmUAr7/Xv5jV6woLSoGA9Cune7IiIjSp25d2Zq6sYmszGKJytmzZ9GtWzcUKVIE2bJlQ7FixTB27FjEPrZ2xMGDB/HKK6/Aw8MDQUFB+Pzzzy0VkuUtWQJ88IG0pri5AW3aSAnqV17RHRkRUfrUqSPbTZv0xkFOy9VSL3zs2DEkJCRg9uzZKF68OMLDw9G9e3fcu3cPU6dOBQBER0ejcePGaNSoEb799lscOnQIXbt2Rc6cOdGjRw9LhWYZSgFTpsh+t27AZ58BuXPrjYmIKKPq1weyZAGOHwfOnwcKFtQdETkZg1LWG8o9ZcoUzJo1C6dPnwYAzJo1CyNHjkRkZCTc3NwAAMOHD8eKFStw7NixVL1mdHQ0fHx8YDQa4e3tbbHYn2v7dvnm4e4u6/v4+emLhYgoM9WqBezcCXz3nbQaE2WC1H5+W3WMitFoRK5cuRLv79y5E3Xq1ElMUgCgSZMmOH78OG7duvXE14iJiUF0dHSym00wDZzt1IlJChE5FlP39cGDeuMgp2S1RCUiIgIzZ85Ez549E49FRkYiICAg2Xmm+5GmNXIeExISAh8fn8RbkC0s9nfqFPDbb7I/cKDeWIiIMpu/v2xnztQbBzmlNCcqw4cPh8FgeObt8W6bS5cuoWnTpmjTpg26d++eoYBHjBgBo9GYeLtw4UKGXi9TrFolY1QaNgTKlNEdDRFR5kpIMO/fvasvDnJKaR5MGxwcjM6dOz/znKJFiybuX758GfXr10etWrUwZ86cZOcFBgYiKioq2THT/cDAwCe+tru7O9zd3dMatmX99ZdsGzTQGwcRkSVky2bej4mR5UGIrCTNiYqfnx/8UjkG49KlS6hfvz4qV66M+fPnw8UleQNOzZo1MXLkSMTFxSFr1qwAgA0bNqBUqVLw9fVNa2h6KGWuL/Dyy3pjISKyhKQDHR8+1BcHOSWLjVG5dOkS6tWrh4IFC2Lq1Km4du0aIiMjk409ad++Pdzc3NCtWzccPnwYixcvxowZMzBo0CBLhZV5QkKkNP7QocCVK4CrK1C1qu6oiIgyX9KxgA8e6IuDnJLF6qhs2LABERERiIiIQIECBZI9ZpoR7ePjg/Xr16NPnz6oXLky8uTJgzFjxthHDZUffgAuXgT+qwmDSpUAT0+9MRERWULS1ZM5RoWszKp1VCxBSx2VR48kKYmLA/LnBy5dAiZOBD7+2Do/n4jI2kqVAk6cALZuNVerJcqA1H5+W6xFxaGdOydJirs7EBEBHDvG1ZGJyLH5+MjWaNQbBzkdJirpceKEbEuUADw8ZIVRIiJHZkpUbKXIJjkNrp6cHqZEpWRJvXEQEVmLqWn+sZISRJbGRCU9mKgQkbMxtRxPnAj8t14bkTUwUUkPU+VdJipE5CyGDAGqVwdu3gTefJOzf8hqmKik1e7dwJYtsl+lit5YiIisxcMDWLYMCAwEwsOBHDnMfwuJLIiJSlo8egT06iXVaDt14kwfInIu+fMDY8ea7/fpoy8WchpMVFIrKgro2xfYvx/w9QWmTNEdERGR9d2+bd6PidEWBjkPTk9OjchIoGxZ4NYtuf/55+Zlz4mInEnSKrUXLkhNqf/WaiOyBLaopIarqzlJAYAPPtAXCxGRTjVqAPv2yX5cHHDvnt54yOExUUmNPHmAZs1k3x4WTCQisqQKFQCDQfa5SCFZGBOV1Lh3T9a3AIC2bfXGQkSkm8FgXoSViQpZGBOV1Fi1Crh/HyhalFOSiYgAIFs22W7bJjMhiSyEicqzxMcD06YBw4bJ/bZtzc2dRETOrFAh2XbpAvz2m95YyKExUXmWqVOBwYNlteTcuYFu3XRHRERkG1atApo0kX0WfiMLYqLyNHFxwMyZsv/xx8Dx49L1Q0REUqH2vfdkf88evbGQQ2MdladZvhy4dAkICADGjAHc3XVHRERkW6pWle3+/aynQhbDFpWn+f132fbqxSSFiOhJihcHcuYEHj4EDh3SHQ05KCYqT/PDD8DatUDv3rojISKyTS4uwMsvyz4H1JKFMFF5GhcXGSgWEKA7EiIi29Whg2wXLgQSEvTGQg6JiQoREaVfy5aAj4/MjjQVxiTKRExUiIgo/bJlM1fsbtAAWLpUbzzkcJioEBFRxvToYd5v0yb5Iq5EGcREhYiIMqZSJZl8YLJxo75YyOEwUSEiooxr0gQYMED2163TGgo5FiYqRESUOZo2la0pUYmNBW7e1BcPOQQmKkRElDlMlWovXgRiYoCOHYG8eYHDh/XGRXaNiQoREWWOHDnM+/v3A0uWSKvK3Ln6YiK7x0SFiIgyR9as5iVHWrUyH2d5fcoAJipERJR5SpeW7ZUr5mPXrumJhRwCV08mIqLMs3kzsGgREBkJVKwodVVu3NAdFdkxJipERJR5cuUCPvpI9s+ele2lS8C9e0D27NrCIvvFrh8iIrKMvHkBf3/Z//RTvbGQ3WKiQkREluHuDvzvf7I/eTLwzz964yG7xESFiIgsp00b836NGjJ2hSgNmKgQEZHluLgA3bqZ769erS8WsktMVIiIyLKSTk9miwqlERMVIiKyrA8/NO+PGiUzgIhSiYkKERFZVuPGQKdO5vszZuiLhewOExUiIrIsgwFYuBCYPVvur11r3Z8fHQ0kJFj3Z1KmYaJCRETWUayYbG/etN7PDAsDfHyA996z3s+kTMVEhYiIrCN3btlas6T+J5/I9qefrPczKVMxUSEiIuvIlUu2N28CSlnnZ1aoINuKFa3z8yjTMVEhIiLr8POTbWys5VtVdu6UYnPjx8v9evUs+/PIYpioEBGRdWTLBhQqJPtHjlju5+zYAdSuDSxdCsTHA/XrA336WO7nkUVZLFE5e/YsunXrhiJFiiBbtmwoVqwYxo4di9jY2GTnGAyGFLddu3ZZKiwiItLppZdk27s3cPiwZX7G4sUyy6dOHeDgQWDzZvNAXrI7rpZ64WPHjiEhIQGzZ89G8eLFER4eju7du+PevXuYOnVqsnM3btyIcuXKJd7PbRpwRUREjmX8eGDPHmlRqVpVkooWLTL3Z2zaJNuPPgLKl8/c1yarMyhlrRFNwJQpUzBr1iycPn0agLSoFClSBPv370cF04CnNIqOjoaPjw+MRiO8vb0zMVoiIrKIq1dluvD69UC5ckB4eMZf8+FDIC4OKFECiIqS2i3XrplnGpHNSe3nt1XHqBiNRuQyjfpO4o033oC/vz9q166NlStXPvM1YmJiEB0dnexGRER2xN8f+P572T98GPjnn4y93rFjMlDX21uSFADo2JFJioOwWqISERGBmTNnomfPnonHvLy8MG3aNCxZsgSrV69G7dq10bJly2cmKyEhIfDx8Um8BQUFWSN8IiLKTPnzA76+sl+jBrB/f/LHIyKkS2jDhpTPPXNGnhMaKmsHlSkD3L2b/ByW6XcYae76GT58OD777LNnnnP06FGULl068f6lS5dQt25d1KtXD3Pnzn3mczt16oQzZ85g+/btT3w8JiYGMTExifejo6MRFBTErh8iInuzcCHQpYvUVKlWDfj7b8DVVWbqBATIFOaCBYFz5+Scq1fl+PvvAz/8IK9hMKSsyXL4MFC2rPV/H0qT1Hb9pHkwbXBwMDp37vzMc4oWLZq4f/nyZdSvXx+1atXCnDlznvv61atXx4YnZdD/cXd3h7u7e6rjJSIiG/X++0CjRjJOZfduYNo0YNgwYOZMc52V8+eB27eB5cuBbt2kpeTff82voZQkMxERct6ZM0xSHEyaExU/Pz/4mYr2PMelS5dQv359VK5cGfPnz4eLy/N7msLCwpA3b960hkVERPYof37giy+Arl0lUWnZEvj44+TnbNkCjBkj+/37p3yNQoWArFllnEoqP5/IflhsevKlS5dQr149FCpUCFOnTsW1a9cSHwsMDAQALFy4EG5ubqj4X2nj5cuXY968ec/tHiIiIgfSsSPQr5/M0nnlFeDBA2lpiYkBtm8HWrV69vMbNrROnKSFxRKVDRs2ICIiAhEREShQoECyx5IOi/nkk09w7tw5uLq6onTp0li8eDFat25tqbCIiMjWZM0qJe5XrZJkpXBhmRU0cGDKc197TUrjz5kjFWgBYMgQa0ZLVmbVOiqWwDoqREQO4LffgM6dpb7KpEmAl5cUg2vbVh6vXh3YuhUwjVFs0kTqsADWW+CQMpXFBtMSERFlujfflFWVDQbzsaQVa0NCzEkKAEyZIosbmhYdJIfFRIWIiGxD0iQFADw9pXvn8mVZWDCpF1+UQbbk8JioEBGR7apZU3cEpJlVS+gTERERpQUTFSIiIrJZTFSIiIjIZjFRISIiIpvFRIWIiIhsFhMVIiIisllMVIiIiMhmMVEhIiIim8VEhYiIiGwWExUiIiKyWUxUiIiIyGYxUSEiIiKbxUSFiIiIbJbdr56slAIAREdHa46EiIiIUsv0uW36HH8au09U7ty5AwAICgrSHAkRERGl1Z07d+Dj4/PUxw3qeamMjUtISMDly5eRI0cOGAwGREdHIygoCBcuXIC3t7fu8GwSr9Hz8Ro9H6/Rs/H6PB+v0fM58jVSSuHOnTvIly8fXFyePhLF7ltUXFxcUKBAgRTHvb29He4fNbPxGj0fr9Hz8Ro9G6/P8/EaPZ+jXqNntaSYcDAtERER2SwmKkRERGSzHC5RcXd3x9ixY+Hu7q47FJvFa/R8vEbPx2v0bLw+z8dr9Hy8Rg4wmJaIiIgcl8O1qBAREZHjYKJCRERENouJChEREdksJipERERksxwqUTlx4gTefPNN5MmTB97e3qhduza2bNmS7Jzz58/jtddeg6enJ/z9/TFkyBA8evRIU8R6rF69GtWrV0e2bNng6+uLli1bJnuc10jExMSgQoUKMBgMCAsLS/bYwYMH8corr8DDwwNBQUH4/PPP9QSpwdmzZ9GtWzcUKVIE2bJlQ7FixTB27FjExsYmO8+ZrxEAfP311yhcuDA8PDxQvXp17N69W3dIWoSEhKBq1arIkSMH/P390bJlSxw/fjzZOQ8fPkSfPn2QO3dueHl54e2330ZUVJSmiPWbPHkyDAYDBgwYkHjMqa+RciAlSpRQzZs3VwcOHFAnTpxQH374ofL09FRXrlxRSin16NEj9cILL6hGjRqp/fv3qzVr1qg8efKoESNGaI7cepYuXap8fX3VrFmz1PHjx9Xhw4fV4sWLEx/nNTLr16+fatasmQKg9u/fn3jcaDSqgIAA1aFDBxUeHq5+/vlnlS1bNjV79mx9wVrRH3/8oTp37qzWrVunTp06pX777Tfl7++vgoODE89x9msUGhqq3Nzc1Lx589Thw4dV9+7dVc6cOVVUVJTu0KyuSZMmav78+So8PFyFhYWp5s2bq4IFC6q7d+8mntOrVy8VFBSkNm3apP79919Vo0YNVatWLY1R67N7925VuHBh9eKLL6r+/fsnHnfma+Qwicq1a9cUALVt27bEY9HR0QqA2rBhg1JKqTVr1igXFxcVGRmZeM6sWbOUt7e3iomJsXrM1hYXF6fy58+v5s6d+9RznP0amaxZs0aVLl1aHT58OEWi8s033yhfX99k12PYsGGqVKlSGiK1DZ9//rkqUqRI4n1nv0bVqlVTffr0SbwfHx+v8uXLp0JCQjRGZRuuXr2qAKitW7cqpZS6ffu2ypo1q1qyZEniOUePHlUA1M6dO3WFqcWdO3dUiRIl1IYNG1TdunUTExVnv0YO0/WTO3dulCpVCj/88APu3buHR48eYfbs2fD390flypUBADt37kT58uUREBCQ+LwmTZogOjoahw8f1hW61ezbtw+XLl2Ci4sLKlasiLx586JZs2YIDw9PPMfZrxEAREVFoXv37vjxxx/h6emZ4vGdO3eiTp06cHNzSzzWpEkTHD9+HLdu3bJmqDbDaDQiV65cifed+RrFxsZi7969aNSoUeIxFxcXNGrUCDt37tQYmW0wGo0AkPh+2bt3L+Li4pJdr9KlS6NgwYJOd7369OmD1157Ldm1AHiNHCZRMRgM2LhxI/bv348cOXLAw8MD06dPx9q1a+Hr6wsAiIyMTPYBDCDxfmRkpNVjtrbTp08DAMaNG4dRo0Zh1apV8PX1Rb169XDz5k0AvEZKKXTu3Bm9evVClSpVnniOs1+jx0VERGDmzJno2bNn4jFnvkbXr19HfHz8E39/R//dnychIQEDBgzAyy+/jBdeeAGAvB/c3NyQM2fOZOc62/UKDQ3Fvn37EBISkuIxZ79GNp+oDB8+HAaD4Zm3Y8eOQSmFPn36wN/fH9u3b8fu3bvRsmVLtGjRAleuXNH9a1hUaq9RQkICAGDkyJF4++23UblyZcyfPx8GgwFLlizR/FtYVmqv0cyZM3Hnzh2MGDFCd8hWl9prlNSlS5fQtGlTtGnTBt27d9cUOdmLPn36IDw8HKGhobpDsSkXLlxA//79sWjRInh4eOgOx+a46g7geYKDg9G5c+dnnlO0aFFs3rwZq1atwq1btxKXwv7mm2+wYcMGLFy4EMOHD0dgYGCKkfemUdOBgYEWid8aUnuNTAlb2bJlE4+7u7ujaNGiOH/+PAA4/TXavHkzdu7cmWJdjSpVqqBDhw5YuHAhAgMDU4y2d6ZrZHL58mXUr18ftWrVwpw5c5Kd56jXKDXy5MmDLFmyPPH3d/Tf/Vn69u2LVatWYdu2bShQoEDi8cDAQMTGxuL27dvJWgyc6Xrt3bsXV69eRaVKlRKPxcfHY9u2bfjqq6+wbt06575GugfJZJaVK1cqFxcXdefOnWTHS5YsqSZOnKiUMg8UTTryfvbs2crb21s9fPjQqvHqYDQalbu7e7LBtLGxscrf3z9xNoazX6Nz586pQ4cOJd7WrVunAKilS5eqCxcuKKXMA0VjY2MTnzdixAinGSiqlFIXL15UJUqUUG3btlWPHj1K8bizX6Nq1aqpvn37Jt6Pj49X+fPnd8rBtAkJCapPnz4qX7586sSJEykeNw0UXbp0aeKxY8eOOc1AUaVk4kfSvzuHDh1SVapUUR07dlSHDh1y+mvkMInKtWvXVO7cuVWrVq1UWFiYOn78uBo8eLDKmjWrCgsLU0qZp942btxYhYWFqbVr1yo/Pz+nmnrbv39/lT9/frVu3Tp17Ngx1a1bN+Xv769u3ryplOI1etyZM2dSzPq5ffu2CggIUO+9954KDw9XoaGhytPT02mm3l68eFEVL15cNWzYUF28eFFduXIl8Wbi7NcoNDRUubu7qwULFqgjR46oHj16qJw5cyabTecsevfurXx8fNSff/6Z7L1y//79xHN69eqlChYsqDZv3qz+/fdfVbNmTVWzZk2NUeuXdNaPUs59jRwmUVFKqT179qjGjRurXLlyqRw5cqgaNWqoNWvWJDvn7NmzqlmzZipbtmwqT548Kjg4WMXFxWmK2PpiY2NVcHCw8vf3Vzly5FCNGjVS4eHhyc5x9muU1JMSFaWUOnDggKpdu7Zyd3dX+fPnV5MnT9YToAbz589XAJ54S8qZr5FSSs2cOVMVLFhQubm5qWrVqqldu3bpDkmLp71X5s+fn3jOgwcP1Icffqh8fX2Vp6eneuutt5Ilvs7o8UTFma+RQSmlrN7fRERERJQKNj/rh4iIiJwXExUiIiKyWUxUiIiIyGYxUSEiIiKbxUSFiIiIbBYTFSIiIrJZTFSIiIjIZjFRISIiIpvFRIWIiIhsFhMVIiIisllMVIiIiMhmMVEhIiIim/X/gxsOdk+Jk2AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tkl.seed(123)\n",
    "\n",
    "reference = tkl.generate(0.2, dt=10)\n",
    "\n",
    "noised = tkl.noise(reference, 3, tkl.ExponentialKernel(100))\n",
    "noised = tkl.noise(noised, 20, tkl.GaussianKernel(1000))\n",
    "original = noised.copy()\n",
    "\n",
    "print (reference.size(), noised.size())\n",
    "\n",
    "plt.plot(noised['x'], noised['y'], 'r-')\n",
    "plt.plot(reference['x'], reference['y'], 'b-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b9a61fc1-e981-49fa-a997-2126282710b6",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Yu1f9eeGC+pg1Czw8oHdveOcdqFv3mT+CXHut5ms8Gv8Ia/PM2zs0K9uMPTf36BYYTOvK2n5tuyQ4QjxBZlEJIXIUEBGgWzU4ry044eEwZw40bKgmBjNnqsmNtTV0qfAGX5dKZni9TwFoV7kd0zpOAuDqwytM3jcZgInPTcTZxjnL+rMbQjiv0zzervc2l4ddzlWczs7QqRN89hkcOAB378KaNWpS4+Kidm3NmQP16qnv5ZtvIDIyTx9FntlY2GQ5JqhnnZ664wpOFfil+y8A/H3970xr8QhRnMkgYxlkLESW7sTc4ZM9n7Dk9BIUFMrYl+HysMs4WDvkeJ+iqK0gCxfC77+DVquet7RUu3x694YuXcDOLq28wqGQQ9R2q83B4IO8uvZVzDRmaBUt7nbu3PzwJiUsS2R4Dc1n6h/+6qWq5zqJeVZJSbB9O/z8M2zZAsn/LjZsbw/vvQcjRkCVKgUaQgaKotD0x6YERASw4+0dtKrYitKzS/Mo4RH/vPsPLSq0MFwwQhhYXv5+SwuOECKTv679RbUF1fjp9E8oKLxZ+02O9D+SY3ITHa0mNbVrQ/v2sGmTmtz4+cGiRWprzm+/weuvpyc3ABqNhucqPIdLCRfdgnhaRc2KRjYfmSm5eVJDj+y3QNAXKyt49VX49Vf1PXz7rfoeY2LUlpxq1aBrVzhqoFnbGo2GnW/v5PKwy7Sr3A4LMws6VukIIDuSC/EESXCEEJn8b8//iE6KpnGZxvzz7j+sfX0tFZ2znlb08CFMmqSObRk2DC5dUhOYwYPVcTeHDsGgQVAqF0vKVHZJX/HX3sqeQU0GZVnu9AenGd5sON++8O0zvb9nVaoUDB2qTmHfsQNeeEFtsfrjD3Ug8ksvqVPcC5pLCReqlExvNupStQsgCY4QT5IuKumiEiKDh/EPcZ3lioJC2OgwyjqUzbLc3bswd67aahPz77I0NWqoCUDfvuDk9Gyv7zbbjftx9xndfDRzOs15xndhOIGB6kDkn3+G1FT1XLduMHWq2tJjCHdi7uAxR50intN/MyFMnXRRCSGe2d6be1FQqOlaM8s/lI8ewbhxUKmSOmg4Jgbq14cNG+DiRRg+/NmTG4D3GrxHndJ1GOM35tkrMSBvb1i6VG256t0bNBq1K65ePfWzePiw4GNwt3fHz9MPgC8PflnwLyiECZAERwiRQdqeU+0rt89wPjFRnUlUpQrMng3x8dCkido9c/q0OrbGTA+/UWY+P5Nzg8+ZXCtEtWrqNPjz59UWHK1WHa9Tvbo6BimtdaegfNH2CwC+P/k9l+5dKtgXE8IESIIjhMhAl+B4qQmOVqtOmfb2ho8+UltwatdWZxQdPw6vvKK2WghVrVrqAOvdu6FOHXjwAIYMgcaN4eTJgnvdtpXb8mqNV0lVUvlo50cF90JCmAhJcIQQOqFRoVx5cAUzjRltKrUhIEDduqB3bwgKgrJlYckSOHNGHVAriU322rVTW7YWLFDX0jlzBnx8YMIEtfWrIMx+fjYWZhZsu7pNt+O6EMWVJDhCCJ3dN9TWm4buTZgywZnGjdXpz/b2MG0aXL2qrv1ibm7kQE2EhYU6s+zyZejVS20NmzkTGjRQZ5fpW7VS1eheU92d/YeTP+j/BYQwIZLgCCF00rqnAre35+uv1T/Ib76pzhT6+GOwtX1KBSJLbm5qN98ff0CZMnDlCrRsCePHqwsJ6lPa1PpV51YRnRit38qFMCGS4AhRDAXeD6TXr724/vC67tzt27DpmLolQ+z51lSrpq71snYtlCtnrEiLlldeUWeavfuuun7OrFlqF+C1a/p7jdYVW1OjVA1ikmJYeGIhP5/5mVuPb+nvBYQwEZLgCFEM1VxYk7Xn1zJs+zAURd1Bu3ZtiNWEAzD87UqcPQvPP2/kQIsgZ2d1WvmmTerYnJMn1f2t0nYxzy+NRsNYv7EATNw9kXd+fwefn3z0U7kQJkQSHCGKmUfxj3THf137C48xL9J39Wgee88HmygApo73wMbGSAEWE926qQOPW7VS1xLq21dt2UlIyH/d7zV8j05VOume34m9k/9KhTAxkuAIUQR9f/J7ys8tz5GQI7pze27uYcT2Eaw5tyZD2btO28B3HnQeBYCVuRWO1rLCtyF4esKePfD55+oaQsuXq2NzQkLyV69Go2HJK0v0EqMQpkoSHCGKmFPhpxixfQRh0WFM2D1Bd779z+1ZcHwBw7YPy1C+3Pm5vF11lO55UmoSGpn/bTDm5vDpp+p4p1Kl1C6rxo1h//781VvOsRzdvLsBULd0XT1EKoRpkQRHiCJksf9iGi9uTLI2GYADtw5wOORw1oWPjOLNhD3cXDOKn3vPxVwjc7+NqX17Nblp0ADu3VOff5vPvUTbVGoDQE23mvmOTwhTIwmOEEXIB1s/0B2nrYcy89BMFAVqWLfWXbO404y/Rs1l7fS2WFqq59J25u5Tr4/hAhYZVKqkro/Tu7e6tcPw4fDhh8++zUNyqproWppZ6i9IIUyEJDhCFBGKouiOf3z5R6a1m4YGDZsvb+aldy9yeV0/3fVPuvakU6eM9w9qMohD7x3i2y75bDYQ+WJrq86omjlTff7NN9C9O8TG5r2uFG0KAJbmkuCI4kcSHCGKgDXn1jBx90QAzDXm9K3flxquNXi+/GsAbIuchVm8m678IL+3sqzHz9MPJ5t8bAUu9EKjUXdsX78erK3VBQLbtIGIiLzVk9ZVmdaCoygKQY+DMiTDQhRVkuAIYeKuPbxGn019mHlI/crv5eKFlbkVf/wB/8wYrxaqt5omw74BYGCjgbjbuxsrXJEHPXqos6zSBh/7+uZtUcD/dlHNOzqPyl9XZvyu8QURrhCFiiQ4QpioqfunMuqvUcw5PAeF9G/kLjYufPYZdO0Kcdea4hjZHMxSOP5gBwC96vYyUsTiWfj5qfuBVa2qbnjasiWcO5e7e3UtOOaWhEeHM3nfZABmH56t23dMiKJKEhwhTFCKNoVJ+yYx/9h8vvf/PsO1u2eaMGWKejxiBPRonT5F2N3OnZYVWhowUqEPVavCP/9AvXpqN1Xr1nD8+NPvS2vBsTCzYOzOscQkxehac/r90S/Doo9CFDWS4AhhgrSKNsPzpmWbsr/7VUpdHUHQyglYW8OyZfD111C1lJeu3Ou1XsfcTKaDmyJ3d9i3D5o3h0eP1Gnke/fmfE95x/IA/OD/A6vPrUaDhu29t1OtZDVCo0IZ8deIgg9cCCMxeoIzffp0mjZtioODA6VLl6Zr165cvnw5x3uWL1+ORqPJ8LCRdeVFMfLfQaKveYzlzeer8mD115Sx8+TAAejXT73m6eipK/dG7TcMGKXQNxcX2LlTTW5iYqBLF9i1K/vyfer1wcbChpikGAC+6fIN7b3as7KbuvHV6rOrufZQjzt9ClGIGD3B2b9/P0OHDuXo0aPs3LmT5ORkOnbsSOxT5kQ6OjoSHh6ue9y6JbvliuLjyRacrm5j+azna0REQN26cOwYNGuWXrZhmYa64+cqPGfIMEUBsLeHrVvh5ZchMVHdoXzfvqzLlrItxfsN3wdgUqtJDGumrmLtU96HLlW7oKDw3YnvDBS5EIalUQrZfMF79+5RunRp9u/fT6tWrbIss3z5ckaOHMnjx4+f6TWioqJwcnIiMjISR0fZc0cULnHJcZy9cxafcj7ZbpnwOOExLjNd1CfT4iC5BJ07w7p1kNU/6T039+Dp6Em1UtUKMHJhSImJ8NprsG0b2NnBX3/Bc1nkr8mpyYREheDl4pXh/Par23lhzQs4WTsROjoUeyt7A0UuxLPLy99vo7fg/FdkZCQAJUuWzLFcTEwMFStWxNPTk1dffZULFy5kWzYxMZGoqKgMDyEKo9vRt2n2YzN8l/gy458Z2ZYLeRymHsS7QHIJPvgAtmzJOrkBaFe5nSQ3RYy1Nfz6Kzz/vLoI4AsvqLOt/svS3DJTcgPQqWonqpWsRmRiJDW+rcHLv7zMN8e+4fL9nIcICGEqClWCo9VqGTlyJC1atKBOnTrZlqtRowZLly7ljz/+YNWqVWi1Wvz8/AgNDc2y/PTp03FyctI9PD09sywnhDHdeHSDlstacuGemqxPOziN8OjwTOWSkmDEJ//+W48qz+zZsGgRWFgYMlpRGNjYwO+/Q9u2EB0NnTqp6+XkhpnGjAnPqZux3o6+zdYrW/nwrw/xXuhNq2Wt2Hx5c6bB7EKYkkLVRTV48GC2b9/OP//8Q/ny5XN9X3JyMjVr1qRXr15MnTo10/XExEQSExN1z6OiovD09JQuKlFonL97no4rOxIeE46XixdO1k6cjjhN/4b9+emVn3TlYmLUZft33FsCr75PfdsuBIzdZsTIRWEQG6sOOD54EJyd1TE59evn7t6wqDCCHgdxKOQQO67vYP+t/botHt6o/QbrXl9XYHELkVcm2UU1bNgwtm7dyt69e/OU3ABYWlrSsGFDrmWzxKe1tTWOjo4ZHkIUFiGRIbRe3prwmHDqlq7LP+/+w8IXFgKw9PRSzkScAeD+fXX2zI4dYFHuPADP1c7c9SCKHzs7+PNPdVHAx4+hc2e4eTN395ZzLEeLCi0Y12Icu/ruIujDIIY3Gw4giwEKk2b0BEdRFIYNG8Zvv/3Gnj17qFy5cp7rSE1N5dy5c5QpU6YAIhSiYP3g/wMP4x9S370++/rto4xDGXw9fXmz9psoKIzeMZrgYIWWLdXF3UqWhOrtDwHq3lFCADg4qAOO0xYD7NQJ7t3Lez3lHMvxSatPAHgY/1DXmiOEqTF6gjN06FBWrVrFmjVrcHBwICIigoiICOLj43Vl+vbty8SJE3XPP//8c3bs2MGNGzc4deoUffr04datW7z//vvGeAtCPLNUbSorzqwA4OOWH1OyRPrg+hkdZmBtbs2em3to8tafBAaCpyfs3BfHlejTgCQ4IiMnJ9i+HSpUgKtX4aWXnm0X8lIlSqFBg4LCg7gH+g9UCAMweoKzaNEiIiMjadOmDWXKlNE91q1L7/cNDg4mPDx9sOWjR48YMGAANWvW5IUXXiAqKorDhw9Tq1YtY7wFIZ7Z3qC9hEaF4mzjzCs1XslwrZJzJd6uNhKAew0/olp1LYcOQYzjSVK0KZR1KEtFp4pGiFoUZmXLwt9/qxt0Hj+ubtiZnJy3OszNzHG1dQXgbuzdAohSiIJn9HkXuRnjvO8/q1jNmzePefPmFVBEQhjO8oDlAPSq0wsbi4yrcZ87B7+P+RjenwWul9mw7Q6enmX4aa86LsLP0y/bdXJE8ebtrS4G2K6d2qIzeDD8+CPk5Z9LabvS3Iu7JwmOMFlGb8ERorhRFIUhfw6hzfI2rD63GoB+DfplKOPvD23awP0wR9CoXwI83M1I1aayLGAZAF1rdDVg1MLUNG8O69eDmRksWQKzZuXtfjc7N0BacITpkgRHCAO7cO8Ci04uYv+t/QDULV2XpmWb6q4fO6Z+8374EHyap69DYm5mzl/X/iIkKoSSJUrSvVZ3g8cuTMtLL8H8+erxhAmwcWPu7y1tVxqQBEeYLklwhDCwtGnfZR3K0rlqZ5a9ukzX1XTypDr7JSoKWrWCbdtTdfeZa8xZfGoxAO/UfydTl5YQWRk+XH0AvP22mkDnRmlbNcG5F/cMU7GEKAQkwRHCwM7cUROcrjW6sr33dhqXbQxAQAB07AiRkdCypTrl19Y+PcFJW20WYGDjgQaPW5iuefPgxRchIUHdnDM3exNLC44wdZLgCGFgaQlOA48GunPnz6t7Cj16BL6+6qJtdnagIX1UaOPFjdEqWlpVbIW3q7ehwxYmzNwcfvlFXd347l3o1g2eWIkjS5LgCFMnCY4QBhYQEQBAfQ91Lf3AQHWF4vv3oUkTddaLg4Na1trCmsmtJ+Ni40JiqrrdyKDGg4wRtjBxDg6weTO4usLp0zBwIOQ0iVUGGQtTJwmOEAYUERPB3di7mGnMqFO6DlevqgOK796FBg3UbRicnDLeM6XNFCI+imBrr62s7LaSnnV6GiV2YfoqVFBnVpmbw6pVsGBB9mWlBUeYOklwhDCgtAHG1UpW406oLe3aQXg41KkDO3eCi0vW91mZW/Fi9RfpU6+PrH0j8qVtW5g9Wz0ePRr278+6nCQ4wtRJgiOEAR0NPQpADacGtGsHoaHqomy7d6tdB0IYwsiR8NZbkJoKb7yh/jv8r7QEJzopmoSUBMMGKIQeSIIjhAHcj7vP9IPTmXpgKgDHNz5HUBBUraomN6VLGzc+UbxoNOrKxmmDjrt3V2dYPcnJ2glLM0sA7sXKVHFheiTBEaKAfbLnE8rNLcfHez4mVUnFNawPEVs/oGxZtVuqbFljRyiKI1tb+O03dXf648fhww8zXtdoNDLQWJg0SXCEKEABEQFMOziNpNQkGnk0pvb1n7j/0wpcnCzZsQMqVTJ2hKI4q1xZnT6u0cDixbBmTcbrdpZ2AMQlxxkhOiHyRxIcIQrQ18e+BuDN2j2pvu8kF1b2x7aEGX/+CbVrGzk4IVAXl/z0U/V44EB12YI0aatlpy1RIIQpkQRHiAJyJ+YOa86pX4m1h0axdi1YWMCvv6qL+QlRWEyapM6uio2FHj0g7t8GG2sLawAZZCxMkiQ4QhSQ709+T1JqEhU0zdkwvxkaDfz8M3TubOzIhMjI3FztnnJ3V1fVHjFCPW9triY4iSnSgiNMjyQ4oshTFIU9N/dw8d5Fg71mYkoii04uAiB4/UhA3Q+oVy+DhSBEnnh4wOrV6nicJUvUY+miEqZMEhxRpF1/eJ0S00rQ/uf2NPyhIVGJUQZ53XUX1nEn9g5ElYNLrzFqVOZZKkIUNu3bq91VAEOGgJKsJjjxyU/ZuEqIQkgSHFFkPU54TNUFVXXfPpNSk1h2epleXyMyIZJjocdQntjUR1EUZuybrz45PozXX7Pkq6/0+rJCFJhPPgE/P4iKgnMnnAF4lPDIuEEJ8QwkwRFFlgYNlZ0rZzj39bGvSdWm6u013tv8Hs2XNOfdP97Vnfv91D9cenwakkvQzGIAK1eCmfyfJkyEhQWsXKluznnvVikAHsQ9MHJUQuSd/NoVRZaTjRMnBpzIcO7m45tsubJFL/U/in/EpkubAFhxZgVbr2wlOhreXTxfff1bb7NtYylsbPTyckIYjJcXfPstEK8mODMPzeTKgyvGDUqIPJIERxRph0IOAeDt6s3E5yYC8OneT/np1E+cDj9NqjYVRVEydDHlhqIoDP5zcIZzPTf2pNXA34n0+B2A9aM/pFSp/L8HIYzh7behUU31H7CCwsDNg59yhxCFiyQ4okj7J/gfAFpWaMnQpkOxMrfi/N3zDNgygEaLG9Hu53Z4feNF6a9K03ZFW4ZtG4b/bf+n1rvq7CrWXViHucacQ+8dokPlDsQmxxLg3Q3MtPi4Pk/HhrUK+u0JUWA0Ghg7oKLu+f7gPUaMRoi8kwRHFGkHgw8C8FyF5yjnWI7dfXcz1m8sbSu1BeDArQMEPQ7iftx99gXtY+GJhfTf3D/HOm9H32botqEATGkzBT9PPzo82gh30xOaSR1HFswbEsKAXm/QmaFV5uqe//JrrBGjESJvNEpe2+aLgKioKJycnIiMjMTR0dHY4YgCEpcch9MMJ1K0KdwYcYPKLhkHHFdbUI1rD68B0L9hf0qWKMnsw7Op5FyJwU0Gs/3adpJSkxjebDhv1H4DM436feDt395m1dlVNCvXjEPvHWL3TgteeAG0jkGUHNWO2p7l2ddvn668EKbOZooLiZrHlFx7jssH6+DqauyIRHGVl7/fFgaKSQiDOxZ6jBRtCuUcylHJuVKm6+0rt9clOD3r9NTtmBz0OIjxu8bryh0OOcy0g9P4vM3nuNm5sersKjRoWPjCQq5dseDNN0Grhfdeq8TiT65hLlOmRBFTu0wVTkX481C5wbBhdVi71tgRCfF08ptYFFlp3VMtK7ZEo9Fkuu5Tzkd37Fvel7IOZQF19dYXqr3Agi4L+KzNZzhZO3H+7nleW/8a7Va0A9QWHy+bJrz8MkRGwnPPwXffIcmNKJKqlPQCQFPyBuvWwcaNRg5IiFyQFhxRZKUNMH7O87ksr79Z5002XNxA07JNsbOyo02lNtwaeQs3WzdKWJbQlRvebDhzj8xl/rH5xCTF4GTtxJRW0+jRHa5dg4oVYdMmsLY2yNsSwuC8XNQEp/Hz1zl5RF3luHVrcHMzcmBC5EASHFEkaRUtx8OOA9CiQossy9ha2rKt97YM5yo4VchUzqWEC1PbTeXD5h+y8sxKmpdvzrSPS7NnD9jbw5Yt8oteFG3VSlYDIMp1J3XqJXP+rCVDh8L69UYOTIgcSHu6KJKuP7xOZGIk1ubW1HarrZc6XW1dGeU7ilObfVm0SJ1Gu2YN1K2rl+qFKLS61+qOq60rVx5e5oVJP2BuDhs2SIIjCjdJcESR5B+urmVT36M+luaWeqt37970TTNnzICXX9Zb1UIUWs42znze5nMAfro+mdH/U/emGjIE7twxZmRCZE8SHFEkpS3W16RME73VGRICb7wBqanQpw+MHau3qoUo9AY0HkBtt9o8jH9Igs/n1K8PDx7AyJHGjkyIrBWKBGfhwoVUqlQJGxsbfHx8OH78eI7lN2zYgLe3NzY2NtStW5dt27blWF4UPyfDTwLQuGxjvdSXkADdu8P9+9CgASxerHZRCVFcWJhZMK/TPAAW+X/LpG8uY2YGa9eC/AoWhZHRE5x169YxevRoJk+ezKlTp6hfvz6dOnXi7t27WZY/fPgwvXr1on///pw+fZquXbvStWtXzp8/b+DIRWGlVbScCj8FQJOy+mnBGTECTpwAFxd1xlSJEk+/R4ii5vkqz/NCtRdI0aZwIG4Ro0ap54cMgZgY48YmxH8ZPcGZO3cuAwYM4N1336VWrVp8//332NrasnTp0izLf/3113Tu3JmxY8dSs2ZNpk6dSqNGjfj2228NHLkorK49vEZUYhQ2FjbUcsv/flA//QQ//qi22PzyC1Su/PR7hCiq3O3cAXCwcuCzz9RlEm7dgsmTjRyYEP9h1AQnKSkJf39/OnTooDtnZmZGhw4dOHLkSJb3HDlyJEN5gE6dOmVbHiAxMZGoqKgMD1F0pY2/qe9eHwuz/K2EcPw4DFW3nWLqVOjUKb/RCWHaTtw+AUCzcs2ws4NFi9Tz8+eD/9P3qRXCYIya4Ny/f5/U1FTc3d0znHd3dyciIiLLeyIiIvJUHmD69Ok4OTnpHp6envkPXhRaaTOo8ts9de8evP46JCXBq6/CxIn6iE4I06ZVtACYm5kD0KUL9OqlblcyYACkpBgzOiHSGb2LyhAmTpxIZGSk7hESEmLskEQBOnf3HAANPBo8cx0pKdCzpzpzqnp1WLECZBcGIdL/vwqICNCdmzdPHZ92+jR8/bVx4hLiv4z6K9vV1RVzc3Pu/GchhTt37uDh4ZHlPR4eHnkqD2BtbY2jo2OGhyi60jbQrF6q+jPX8fHHsGcP2Nmpg4qdnPQVnRCmrYF7AwBOR5xWf4afZsmVL5k5W226mTQJgoKMFJwQTzBqgmNlZUXjxo3ZvXu37pxWq2X37t34+vpmeY+vr2+G8gA7d+7MtrwoXpJSkwh6HARA1ZJVn6mODRtg9mz1eNkyqK2fhZCFKBIalmkIqIkNQKPFjfjfnv8RX2cRrVtDXFz6YphCGJPRG91Hjx7Njz/+yIoVK7h06RKDBw8mNjaWd999F4C+ffsy8YnBDx9++CF//fUXc+bMITAwkClTpnDy5EmGDRtmrLcgCpGgx0FoFS22lraUsS+T5/svXoR//+nx0UfQo4eeAxTCxKV1UV1/dJ1zd87pzh8LO8p334GFBWzeDFu35lyPVtHyMP4hjxMeF1ywolgzeoLz5ptv8tVXXzFp0iQaNGhAQEAAf/31l24gcXBwMOHh4bryfn5+rFmzhsWLF1O/fn02btzI77//Tp06dYz1FkQhcvXBVUBtvdHkcSW+mBh1UHFsLLRtC9OnF0SEQpg2V1tX3XG97+vpjm88ukGtWujWxhkxAuLjs67j6oOrlJ5dmlKzSlFqVikO3jpYkCGLYqpQ7CY+bNiwbFtg9u3bl+lcjx496CFfrUUW0sbfpO1+nFuKoi5WdukSlCmjrndjUSj+7xDCNAREBJCcmsykSZasWQM3b8LMmTBlSuaya8+v5UH8A0Btycnvcg5CZMXoLThC6FNagpPX8TdLl8LKlepMqV9+gf+sRCCEeELEmMzLciSkJLDt6jbs7dVZVaBuSHv9eub7d9/MOI7ytfWvEZUo65MJ/ZIERxQpVx+qXVR5acE5exbSGhCnToXWrQsiMiGKDnd7d+Z2nAtAGfsyjPMbB8CMQzMIiwqjyyuxdHheS6L5fT4YfQ9FSb83LjmOI6EZF2aNiIng/F3Zbkfol7QLiiIlry040dHqQOKEBOjcGSZMKMjohCg6BjcdTFh0GO0qt6NRmUZ8fexrjoYepfy88gDYtraHFjHsVjRMXb2TSX3aA/BP8D8kpSZlqi88OjzTOSHyQ1pwRJGRnJqsmyJerdTTW3AUBQYNgitXoFy59C4qIcTT2VjY8FXHr3ih2gt42HvwboN3M1yPS/l3902NwpeHPiMuTn2668YuXZkqLlVoXKYxAOExkuAI/ZJf56LICI0KJVVJxdrcOldTxH/6CdasAXNzWLcOXF2feosQIhvjWozDyTrjiphftVsAqZYkehzkw68OA+njb1Z2W8mV4VdoXr45IC04Qv8kwRFFRmhUKADlHcs/dYr4xYvpi5F9+SW0aFHQ0QlRtFV2qUzwqGB61+2tO9etzgu0LdkXgCWP+rDu+G7dAoHtK7fHTGOm+zISEZP9foJCPAtJcITJ0ipaZvwzg7+v/Q1AWHQYAOUcy+V4X0KCus9UfDx07Kgu6CeEyD9Ha0ddlxNAJedKLO83Geu4yijON+m5vQMKCrXcalHGQU1s0n5KF5XQN0lwhMn67dJvTNw9kTc2vkFcclyGFpycjB0L585B6dKyiaYQ+vZ+o/dpX7k9n7X5DDONGRWcPdne1R8uv6wr075ye91xWguOJDhC3+RXuzBJqdpUVp1bBUBUYhQrAlaw4eIGACo4Vsj2vs2b4dtv1ePlyyGHPVqFEM/AwdqBXX13Man1JN25tr4uvGP9O+yYhW1kQ95vOEB3rZJzJQAu3L3AjUc3DBytKMokwREmZ9qBaVhMteD3wN9154ZuG8rxsOM42zjzXsP3srwvLCx9n6nRo6FLFwMEK4QAYPqXZtifHUvcvFOc31NXd97b1ZvnvZ4nWZvMxN0Tc6hBiLyRBEeYFK2iZfbh2brnlZwrYa4xR0GhhEUJtvbamuUU8dRUePttePgQGjVSBxYLIQynTBn4+GP1ePx4dc83AI1Gw1cdv0KDhvUX1nPp3iXjBSmKFElwhEk5FnqMyMRIAOq71+f7F7+nb/2+2FrasqHHBlpUyHo61MyZsHcv2NmpWzFYWxsyaiEEqBtxVqoEoaEwO/17CvXc69GwTEMA6aYSeiMJjjApvwX+BkCvOr0IGBRAp6qdWPLKEh6Me8CL1V/M8p4jR2DSv8MBvv0Wqlc3VLRCiCfZ2KQnNrNmQUhI+rW0NXSik6KNEJkoiiTBESZDURRdgtPVu6vuvEajwcbCJst7Hj+GXr3ULqpeveCddwwQqBAiW927Q6tW6jINT26N4mjtCCCbbgq9kQRHmIyL9y5y7eE1rM2t6VL16SOE07ZiuHVLbRZftAiesv6fEKKAaTQwf776c80aOH5cPe9g7QBIgiP0RxIcYTLSWm86eHXQ/TLMybJl6hYM5ubquBsnp6feIoQwgIYNoa+6wDHjxqlfRhyt1Bac6ETpohL6IQmOMBlp08Kf7J7KzvXrMGKEejx1KjRvXnBxCSHybupUdbD//v3w55/SRSX0TxIcYRKCI4PxD/fHTGPGKzVeybFsaqr67TA2Vu3rHzfOQEEKIXLN0xNGjlSPx48He0tJcIR+SYIjTMIfgX8A0MKzBaXtSudYdtYsOHwYHBzUrRjMzQ0RoRAiryZMgJIl1c1vL5z+dwxOkiQ4Qj8kwREm4ddLvwLQzbtbjuVOn06fEv7NN+rgYiFE4eTsDJ9+qh5v+03G4Aj9kgRHFHqX719m/639mGnM6F6re7blEhKgTx9ISYFu3WRKuBCmYPBgqFwZIu9KF5XQL0lwRKH33YnvAHip+ktUcMp+I83//U9t6nZ3hx9+kCnhQpgCa+t/t05JVLuoHsaqCU69RfVwm+2WYc85IfJCEhxRqMUkxbD8zHIAhjYdmm25vXth7lz1+KefwM3NAMEJIfTijTegppfaghN2X92K5dzdc9yPu8+I7SOMGZowYZLgiEIrKTWJ1WdXE5UYRdWSVeng1SHLcpGR6d1RAwbASy8ZMEghRL6ZmcEXYyuC1pwY81C2ngzQXYtPiTdeYMKkSYIjCqWAiABcZ7ky6M9BAAxpMgQzTdb/XEeMUPe08fJKb8URQpiW1zqVxuNBDwBG/DJHd/5+3H1jhSRMnCQ4olDqvr67btM9a3Nr+jXol2W5X3+Fn39WvwGuXAn29gYMUgihV7O6jQHgpv0vRo5EFAWS4IhCZ1/QPm48uqF7/lyF53Ap4ZKpXHg4fPCBejxhAvj5GSpCIURBeLt9E9xi2oBZaobziqIYJyBh0iTBEYXO6rOrdcdO1k4s6LIgUxlFgfffhwcP1H1tJk82ZIRCiILy0+vfwJUXYfNizDXqKp1h0WFGjkqYIklwRKGzJ2gPAFt7beXe2HvUdKuZqczSpbBtmzrFdOVKsLIydJRCiILwik9d+pfYCqcGYB1TA4Bzd84ZOSphiiTBEYVK0OMgbjy6gbnGnFYVW2FpbpmpTEgIjB6tHn/xBdSubeAghRAFavJk9ctL3I16gDplXIi8kgRHFCp7bqqtN83KNcPB2iHTdUVRp4JHRYGvL4waZegIhRAFzdMThg4FFPVP1KZLm4wbkDBJRktwgoKC6N+/P5UrV6ZEiRJUqVKFyZMnk5SUlON9bdq0QaPRZHgMGjTIQFGLgpaW4LSv3D7L60uXwt9/q9/uli2TjTSFKKomTgTqrQHgWNgxklJz/tsgxH9ZGOuFAwMD0Wq1/PDDD1StWpXz588zYMAAYmNj+eqrr3K8d8CAAXz++ee657a2tgUdrihgoVGhvL7+dY6FHQOgXeV2mcr8t2uqRg1DRiiEMCRX14zP15/fSJ/6bxknGGGSjJbgdO7cmc6dO+uee3l5cfnyZRYtWvTUBMfW1hYPD4+CDlEY0LLTy3TJjZ2lHb6evhmuS9eUEMXb5L/m0bteLzSyyZzIpUI1BicyMpKSJUs+tdzq1atxdXWlTp06TJw4kbi4uBzLJyYmEhUVleEhCpfdN3cD4OXixe89f8fGwibD9SVL1K4pGxvpmhKiOPjv2jc3Ek4ydf80UrQpRopImBqjteD817Vr11iwYMFTW2/eeustKlasSNmyZTl79izjx4/n8uXLbNqU/SC06dOn89lnn+k7ZKEncclxHAk9AsBfvf+iWqlqGa4HB0vXlBDFjUajYUGXBSQkaPh0VigJTWcwef+nbL/+Jyu6rqB6qerGDlEUchpFz0tETpgwgZkzZ+ZY5tKlS3h7e+ueh4WF0bp1a9q0acNPP/2Up9fbs2cP7du359q1a1SpUiXLMomJiSQmJuqeR0VF4enpSWRkJI6Ojnl6PaF/O6/vpOOqjng6enJr5K0MTdCKAp06wc6datfUwYPSeiNEcfPFFwqfbvwZsxdHoLWKooRFCQ68e4AmZZsYOzRhYFFRUTg5OeXq77feW3DGjBlDv379cizj5eWlO759+zZt27bFz8+PxYsX5/n1fHx8AHJMcKytrbG2ts5z3cIw0rqn2lVul6l/fckSNbmRrikhiq8PP9Qwb947PFzYlqoTenEt8TALTyxk2avLjB2aKMT0nuC4ubnh5uaWq7JhYWG0bduWxo0bs2zZMszM8j4kKCAgAIAyZcrk+V5ROGQ3NTwsDMaoe+9J15QQxZiDA4wbBxMmVCBuyxfQsR1br2wlVZuKuZl86xFZM9og47CwMNq0aUOFChX46quvuHfvHhEREURERGQo4+3tzfHjxwG4fv06U6dOxd/fn6CgIDZv3kzfvn1p1aoV9erVM9ZbEfnwOOEx/uH+QMap4YqiLvQVFQU+PjBypJECFEIUCkOHgpsb3D7aEjszF+7H3edwyGFjhyUKMaMlODt37uTatWvs3r2b8uXLU6ZMGd0jTXJyMpcvX9bNkrKysmLXrl107NgRb29vxowZQ/fu3dmyZYux3obIp31B+9AqWmqUqkE5x3K68xs3wh9/gIUF/PSTdE0JUdzZ28P48YDWAq68BMAfl/8wblCiUNP7IGNTkJdBSqJgKIpCfEo8E3ZNYMHxBQxpMoSFLy4E4OFDqFkT7t6FTz+FJ9Z0FEIUY3Fx4OUFd0r+Cm++TkWnilwfcV26qYqRvPz9LlTr4IjiITYplnY/t8N1liuL/dWB5U92T330kZrc1KwJ//ufsaIUQhQ2trYwYQJwrQtmCSW5FXmL3wJ/M3ZYopCSBEcYVGJKIt3WdWNf0D7iU+JJTE3EXGNOey91gPGuXepsKY1G7ZqSyW9CiCd98AGUcbVFe2woALMOzcq0KKAQIAmOMCBFUej1ay923tiZ4Xzz8s1xtnEmLg4GDlTPDRkCfn5GCFIIUaiVKAEffwwcGw4pNpy4fYL9t/YbOyxRCEmCIwxmX9A+fgv8DWtza96s/abufKcqnQCYNAlu3gRPT5g+3VhRCiEKu/ffhzJObnDqPQBmHsp5cVlRPEmCIwwmbcbDW3Xf4v1G7+vOd6raiRMnYN489fn336vrXgghRFZsbGDsWODIGNCa8de1v7hw94KxwxKFjCQ4wiAURWHz5c0AvFLjFRqXaYyjtSMe9h7Uc23M+++DVgtvvQUvvGDkYIUQhd4HH4CbhRcEdgVg6emlxg1IFDqS4AiDCIgI4Objm9hY2PC81/O4lHDhwpALnBl0hrlzzDl7FkqVgvnzjR2pEMIU2Nr+u9J5wLsArDq3iuTUZOMGJQoVSXCEQfxy/hcAXqz2InZWdgCUdyzPo9DSunVu5s9XVyoVQojcGDIEnB90ghh37sbe5a9rfxk7JFGISIIjCpxW0bL2/FoAetXplX5eqw4WTEyELl2gd29jRSiEMEUODjBqhCWcVX95rDy7ysgRicJEEhxR4I6FHiMkKgQHKwdeqJY+wGbxYvjnH7Czg0WL1LVvhBAiL4YPB9sbPQHYEvgnccnq1j5XH1zlf7v/R1hUmDHDE0ak993Ehfivv6//DUDnqp0pYVkCgNBQdXdggC+/hIoVjRWdEMKUubjAh280YfrjiiQ438LuSzter/U6u2/s5lHCI6KTovmmyzfGDlMYgbTgiAK368YuAJ73eh5QdwofMgSio6F5c3WXYCGEeFajR2mwuPK67vnGixt5lPAIgCOhRwBYdXYV7Va04+9rfxslRmF4kuCIAhWVGMXR0KMAdPDqAMCGDbBlC1hayk7hQoj8c3WFHrVfz3CubaW2gDqDMz45njlH5rA3aC+dV3fm9fWvExIZYoxQhQFJgiMK1IFbB0hVUqniUoXKLpV5+FDtMwd1I83atY0bnxCiaJgzygfzXfPgjyV8U/8wO9/eibudOynaFA4GHyQgIkBX9tdLv1JnUR2CI4ONF7AocJLgiAKV1j2V1nozbpy6U3itWv/uCiyEEHpQpoyGwQ1Gwun32PS1L+Zm5viU9wGg06pOunLH3z9O1ZJViUqMkmnlRZwkOKJAPZngHDwIS5ao53/8UXYKF0Lo17hxatf3vn1w6BA0L9c8U5mm5ZryQlV1Nue1h9cMHKEwJElwRIEJiwrjwr0LaNDQomxbBg9Wzw8YIDuFCyH0z9MT3nlHPZ4xA5qXz5zgAFQtWRWQBKeokwRH6N2j+EdMOzCNhj80BKBRmUas+L4UFy6ogwFnzDBygEKIImvcODAzg61bwfZxMzzsPXCzdaN/w/4c7a9OeEhLcK4/uk5IZAhT9k0hIibCmGGLAiDr4Ai9Wh6wnBHbRxCdFA1AJedKTKj/DX3VCQ3MmQMlSxoxQCFEkVatGrz+OqxfD998ZcelJZfQoMHJxklX5skWnI6rOhJ4P5CoxCjmdpprrLBFAZAWHKE3KdoUhm4bSnRSNHVK12FVt1VcGXaVZZ/7ER8PbdrA228bO0ohRFGXNoFh7Vp4eNs5Q3IDUNG5IuYac+KS4wi8HwjA8bDjhg5TFDBJcITeBN4PJC45DnsrewI+CKB3vd5s/t2CbdvUgX+yHYMQwhAaNoROndT97r76KvN1K3MrKjqry6eba9SFuE5HnCZVm2rIMEUBkwRH6I3/bX9AHXNjbmZOVBSMGKFemzABvL2NGJwQoliZOFH9uXQpRGQxvKZ1xdaYa8xZ0XUFdpZ2GVpzRNEgCY7Qm5O3TwLQuExjACZNgtu3oUqV9F82QghhCK1aqVvBJCbC119nvr745cWEjg6ld73eNCrTCAD/cH8DRykKkiQ4Qm/Sfjk0LtOYU6dgwQL1/HffQYkSRgxMCFHsaDTpX6y++w4iIzNetzCzwMPeA0j/UpbWCi2KBklwhF6kaFN0S6E39GjCBx+o/d89e0LHjsaNTQhRPL30krodTFSUmuRkp3FZNcE5GX7SQJEJQ5AER+jFpXuXiE+Jx8HKgV3rqnHyJDg5wbx5xo5MCFFcmZmlz6iaPx/i47Mul9aCExARIAONixBJcIRepHVP1S7ZkE/+p/6z+vJL8PAwZlRCiOLuzTehYkV1D7xly7IuU71Udeyt7GWgcREjCY7Qi7S+64cXGhMdDc2awQcfGDkoIUSxZ2kJY8eqx7NnQ0pK5jLmZuY09FBXXk+bLCFMnyQ4Qi9ORZwC4Mq+xpiZqWvemJsbOSghhADeew/c3CAoSF38Lyu6gcYyk6rIkARH6EVc0r+d2wkuDB4MjRoZNx4hhEhTogSMHKkez54NipK5TJOyTQA4GHyQVG0q92LvcSr8lOGCFHonCY7Qi+h7zgA4uEUydapxYxFCiP8aPBjs7ODsWdixI/P11pVaY2lmSUBEAF3XdaX0V6VpvLgxQY+DDB6r0A+jJjiVKlVCo9FkeMx4ylbTCQkJDB06lFKlSmFvb0/37t25c+eOgSIWWQkNhaDL6l4vXd+MxMXFyAEJIcR/uLjAwIHq8axZma+XdyzP6tdWA7D1ylbd+Xux9wwRnigARm/B+fzzzwkPD9c9hg8fnmP5UaNGsWXLFjZs2MD+/fu5ffs2r732moGiFVn56CNIjVUTnJoNHxs3GCGEyMbIkerYwD17wD+LoTY9avdgaNOhGc5ZmlsaJjihd0ZPcBwcHPDw8NA97Ozssi0bGRnJkiVLmDt3Lu3ataNx48YsW7aMw4cPc/ToUQNGLdLs2QPr1gEJzgBEJUbmWF4IIYylQgXo1Us9nj076zJT205lRLMRuudW5lYGiEwUBKMnODNmzKBUqVI0bNiQ2bNnk5LVHL5/+fv7k5ycTIcOHXTnvL29qVChAkeOHMn2vsTERKKiojI8RP4lJcGwYepxk7pqC06kJDhCiELso4/Unxs2wI0bma+7lHDh6y5f42jtCIClmbTgmCoLY774iBEjaNSoESVLluTw4cNMnDiR8PBw5s6dm2X5iIgIrKyscHZ2znDe3d2diKy2i/3X9OnT+eyzz/QZerF34NYBPl61kUtVE7Cul0RixTNwHx4nPDZ2aEIIka369aFTJ/j7b3Wl9bQ98/4rOTUZkC4qU6b3FpwJEyZkGjj830dgoLpS5OjRo2nTpg316tVj0KBBzJkzhwULFpCYmKjXmCZOnEhkZKTuERISotf6i6N3NvXnUMoCaPwjiTVXcO5+AAB2ltl3MQohRGEwbpz6c8kSuH8/6zLJ2n8THGnBMVl6b8EZM2YM/fr1y7GMl5dXlud9fHxISUkhKCiIGjVqZLru4eFBUlISjx8/ztCKc+fOHTxy2BPA2toaa2vrXMUvcufOgziwBPfgwYx6txLWFlbYW9nTzbubsUMTQogctW2rrtV16hQsXAiTJ2e8rigKKVp1uIS04JguvSc4bm5uuLm5PdO9AQEBmJmZUbp06SyvN27cGEtLS3bv3k337t0BuHz5MsHBwfj6+j5zzCJv9u6F+DgzcII5vd+n93Oyqp8QwnRoNGorTs+e8O236lYOtrbp19Nab0BacEyZ0QYZHzlyhPnz53PmzBlu3LjB6tWrGTVqFH369MHl34VUwsLC8Pb25vjx4wA4OTnRv39/Ro8ezd69e/H39+fdd9/F19eX5s2bG+utFCvJyTB0KIAGgBreWqPGI4QQz6J7d6hcWe2iWr4847W08Tcgs6hMmdESHGtra9auXUvr1q2pXbs206ZNY9SoUSxevFhXJjk5mcuXLxMXF6c7N2/ePF566SW6d+9Oq1at8PDwYNOmTcZ4C8XS11/DpUtgplH/6WgVSXCEEKbHwgJGj1aP58yB1NT0axlacP7torry4Ao7rmexBLIotDSKktWuHEVbVFQUTk5OREZG4ujoaOxwTEZYGNSoAbGx4DrVi/upNzna/yg+5X2MHZoQQuRZbCxUrAgPHsD69dCjh3r+buxd3L9yByB1UipmGjNqLazFpfuXONL/CM3LS4+BseTl77fR18ERpuOjj9RfCM2bg6Oj2kUlLThCCFNlZ5fW5Q4zZ6ZvwvlkF5XDdAc2XNjApfuXAPjt0m+GDlM8I0lwRK7s3Qtr14KZmTrrQLqohBBFwbBhYGOjbt2wb5967skuqrjkOPr90U/3fOvVrQjTIAmOeKr0gcUwaJA6vTItwVEodj2cQogixM0N3n1XPf7qK/Xnky04oCY5aS7eu8jNRzcNFZ7IB0lwxFOlDSx2dYUvvlDPaZAuKiFE0TB6tDp1fNs2uHgR3O3dcbBywN3OnYGNBurK2VjYAPDn1T+NFarIA0lwRI5u34a0XS5mzgQXF3URrMRUdbVpSXCEEKaualXo2lU9njsXHK0duTXyFjc+vMHUdlNxsHLA1tJWtwnn1ivSTWUKJMEROZowAWJiwMcH0haonnd0HkGPg7Ayt6JayWpGjU8IIfRhzBj158qVEBGhbrppa2lLabvSnBx4kqP9j9KvQT8A9gbtJSYpxnjBilyRBEdk6+hR9X92gG++UQcYX7x3kfG7xgMwr9M8yjmWM2KEQgihH35+6gzRpCR1IsWTqpeqTl33uni7euPl4kVSahIO0x1Ye36tcYIVuSIJjsiSVgsj1NZY+vWDZs3U40PBh0jRptDCswWDmww2WnxCCKFPGk16K86iRfDE+rJPlNHQp24f3fO3fn2Lqw+uGihCkVeS4Igs/fwznDgB9vYwfXr6+bRm2YrOFdFoNEaKTggh9K9bN3X7hgcPYMWKrMtMbjOZC0Mu0LRsUxQUFvsvzrqgMDpJcEQmUVHq2BuATz+FJzdqj06KBsDe0t4IkQkhRMExN4dRo9TjuXMzbt+QxkxjRi23Wnza6lMAlp9ZTmJKogGjFLklCY7IZNo0uHNHnVnw4YcZr0UnqgmOg7WDESITQoiC9e674OwM167Bli3Zl+tSrQvlHctzP+4+my7JfoiFkSQ4IoOrV2HePPV43jywts543dpCPRESFWLgyIQQouDZ26sLmoK6CWd2LMwseL/h+wB87/+9ASITeSUJjshg9Gh15eJOneDFFzNf7+rdFYDNlzcTmRBp2OCEEMIAhg8HS0v45x84diz7cv0b9cdMY8aBWwe4dO+S4QIUuSIJjtD56y/YuhUsLGD+fHVWwX81LtOYmq41SUhJ4NdLvxo8RiGEKGhly8Jbb6nHObXilHcsz0vVXwKQwcaFkCQ4AlBbbdIG1w0fDt7eWZfTaDT4lvcF4OydswaKTgghDGv0aPXnr7/CzRy2nvqg8QcArDizgtikWANEJnJLEhwBwLffQmCguvHcpEnZl0tOTWbLFXXkXccqHQ0UnRBCGFa9etCxo7om2Pz52ZfrVKUTXi5ePEp4JK04hYwkOIK7d9P3m5o2TZ1BkJ2/r//Nvbh7lLYrLQmOEKJIS1v4b8kSePQo6zLmZuZMfG4iALMOzyI+Od5A0YmnkQRH8MknEBkJDRvCe+/lXPbnMz8D0LtubyzMLAwQnRBCGMfzz0PduhAbC4tzaJzpW78vFZwqEBETwYoz2awQKAxOEpxi7tQp+Okn9fjrr9WFrrLzKP4Rmy9vBtT/oYUQoih7cvuGb75R96nKipW5FUOaDAFg29VtBopOPI0kOMWYoqgL+SkK9OwJLVvmXH7LlS0kpiZSp3Qd6rvXN0yQQghhRL16QZkycPs2rM1hb822ldsC8E/wP2gVrYGiEzmRBKcYW7dOXeehRAmYNevp5c/fPQ9A20ptZR8qIUSxYGWVvvHwnDnqF8KsNPRoiK2lLY8SHsmaOIWEJDjFVGwsjB2rHk+YAJ6eT7/n6kN119zqpaoXYGRCCFG4fPAB2NnB2bOwa1fWZSzNLanoVBGAe3H3DBidyI4kOMXUrFkQGgoVK6YnOk9z5cEVAKqVrFaAkQkhROHi4pI+ASOnhf/MzdRBjKnaLHbpFAYnCU4xdOtWepfUV1+pXVRPk6pN5drDa4C04Aghip+RI8HMDP7+G86dy7qMmUb9kypjcAoHSXCKoY8+goQEaN0aunfP3T0hUSEkpSZhZW5FBacKBRugEEIUMl5e8Npr6vHcuVmXSUtwhmwbwp6bewwUmciOJDjFzL59sHGj+k3km2+y3m8qK2ndU1VcquiaYYUQojhJmzK+erU6q+q/ElISALj28Br/2/M/A0YmsiIJTjGSmqpOCwd10Fy9erm/90zEGQBquNYogMiEEKLwa94cWrRQ9+779tvM18OiwnTHAREBhgtMZEkSnGLkp5/UWQAuLjB1at7u3XVTnTrQpmIb/QcmhBAm4qOP1J+LFkFMTMZr41qM0x17OuZiaqooUJLgFBORkfDpp+rx5MlQqlTu701ISeDgrYMAdPDqUADRCSGEaXj5ZahWDR4/hqVLM177pNUn+A/0B9RlNZTsFs0RBiEJTjHx5Zdw7x7UqAFDhuTt3sMhh4lPiaeMfRlqudUqmACFEMIEmJunj8WZNw9SUjJetza31h2nLY4qjEMSnGLgxg2YP189/uorsLTM2/27bqjdUx28OsgKxkKIYq9vX3B1haAg+PXXjNcszdN/wcp0ceMyWoKzb98+NBpNlo8TJ05ke1+bNm0ylR80aJABIzc948erm8R16AAvvpj3+9MSnOe9ntdzZEIIYXpKlIBhw9Tj2bMzbt/w5Dph8SnxBo5MPMloCY6fnx/h4eEZHu+//z6VK1emSZMmOd47YMCADPfNys1GSsXUwYPp08Lnzs39tPA0D+MfcvL2SQDae7UvgAiFEML0DBkCNjbg7w8HDmS8Vs9dnaIanRhthMhEGgtjvbCVlRUeHh6658nJyfzxxx8MHz78qd0gtra2Ge4VWdNqYdQo9fj996Fu3bzXsffmXhQUarnVoqxDWf0GKIQQJsrNDfr1g++/V7v+W7dOv2ZvZQ9ATFJM1jcLgyg0Y3A2b97MgwcPePfdd59advXq1bi6ulKnTh0mTpxIXFxcjuUTExOJiorK8CgOVq5Uv104OMDnn+f9/uDIYKbsnwJAh8oye0oIIZ40apTaKr51K1x6YgNxBysHAKKTpAXHmApNgrNkyRI6depE+fLlcyz31ltvsWrVKvbu3cvEiRNZuXIlffr0yfGe6dOn4+TkpHt45mbrbBMXGwsff6wef/IJuLvn7f7QqFB8fvLh/N3zeNh7MMJnhP6DFEIIE1a9Orz6qnr85PYNDtb/JjjSRWVUek9wJkyYkO3g4bRHYGBghntCQ0P5+++/6d+//1PrHzhwIJ06daJu3br07t2bn3/+md9++43r169ne8/EiROJjIzUPUJCQvL9Pgu7WbPUpcQrV05fvTgvfjr1ExExEXi7enPs/WNUKVlF/0EKIYSJS1v47+efISJCPU7rorofd99IUQkogARnzJgxXLp0KceHl5dXhnuWLVtGqVKleOWVV/L8ej4+PgBcu3Yt2zLW1tY4OjpmeBRloaHqyH5QEx1r65zLZ2XTpU0ATGgxQTbXFEKIbPj5qVs4JCXBwoXquWZlmwGw5vwamSpuRHofZOzm5oabm1uuyyuKwrJly+jbty+WeV2gBQgICACgTJkyeb63qJo4EeLjoWXL3O8W/qRrD69x7u45zDXmvFzjZf0HKIQQRYRGA2PHqr9rv/sOJkyAPvX6MH7XeK48uMLem3tlBqqRGH0Mzp49e7h58ybvv/9+pmthYWF4e3tz/PhxAK5fv87UqVPx9/cnKCiIzZs307dvX1q1akW9vOwcWYQdPw6rVqnHzzItHOC3S78B0LZyW0qWKKnH6IQQouh59VWoUgUePoTly9UxOF2qdQFk001jMnqCs2TJEvz8/PD29s50LTk5mcuXL+tmSVlZWbFr1y46duyIt7c3Y8aMoXv37mzZssXQYRdKipI+LbxvX3jKckLZ2hSodk918+6mp8iEEKLoMjeH0aPV47lzITUVPOzUpUzCY8KNGFnxplGK4W5gUVFRODk5ERkZWaTG46xbBz17gq0tXLkC5crlvY6wqDDKz1NnsoWNDpO1b4QQIhfi4qBCBXjwADZsgK8eN+dY2DEAlMnF7s9sgcnL32+jt+AI/UhIULdkAPXnsyQ3AH9c/gMA3/K+ktwIIUQu2dqmb2Q8eza65AYgMSXRSFEVb5LgFBHz5sGtW1C+fPq0xWeRNntKuqeEECJvhg5VZ60ePw49K6T/It5zc48Royq+JMEpAu7cgS+/VI+nT1e/STyLB3EP2Be0D4BuNSXBEUKIvHB3V8c/AsT9MZNOVToB8OOpH40YVfElCU4RMGUKxMSog4rfeuvZ69l6ZSupSip1S9elasmqeotPCCGKi7TBxls2mzG8urq88R+X/yA4MtiIURVPkuCYuIsXYfFi9XjOHHXX8Ge16+YuAF6t8aoeIhNCiOLH2xteflmd1bplaS3aVmqLVtHy2b7PKIZzeoxKEhwTN26cumt4167QqlX+6rr+UN3uor5H/fwHJoQQxdTYserPFSugT/WhACwNWMrcI3NzuEvomyQ4Jmz3bvjzT7CwgJkz81/fjUc3APBy8XpKSSGEENl57jlo1kyd3Rr0d3qL+Ec78zEDROSZJDgmKjU1fbbU4MHqrrb5EZsUy53YO4AkOEIIkR8aTfrv50ULLShVopRxAyqmJMExUatWQUAAODnBpEn5ry/ocRAAzjbOONs4579CIYQoxrp1g8qV4f59+Mj2nO58dGK0EaMqXiTBMUFxcfC//6nH//sfuLrmv85rD9Xd2KX1Rggh8s/CIn3rnJ/ml8HT0ROAU+GnjBhV8SIJjgmaOxfCwqBiRRg+PP/1/R74O+9vUTc7reVWK/8VCiGE4L33oGRJuH4dPLTq5oAnbp8wclTFhyQ4JiYiAmbMUI9nzAAbm/zVt/rsarqt68b9uPs08GjAF22/yH+QQgghsLODESPU49CjPgAcDjlsxIiKF0lwTMzkyRAbq47Qf/PN/Nc3/9h8AN5v+D5H+x+lonPF/FcqhBACUFvZ7ewg/Ki6jseBWwfQKlojR1U8SIJjQi5cgJ9+Uo/nzFFH6udH4P1ATt4+ibnGnC/bf4m1hXX+gxRCCKFTsiR88AFwuwlmqbY8iH/AxXsXjR1WsSAJjglJW9TvtdfUdRbya9XZVQB0rtoZNzu3/FcohBAik9GjwdLcEm2QHwD7g/YbOaLiQRIcE7FrF2zbpo7MTxuDkx9aRatLcN6u93b+KxRCCJGlcuXgnXeAoDYAHAg+YNR4igtJcExAaiqMGaMeDxkC1arlv84tl7dwK/IWDlYOvFLjlfxXKIQQIlvjxoHmXh0ALt2+ZeRoigdJcEzAzz/D2bP6W9RPq2j5dO+nAAxrNowSliXyX6kQQohsVasGbZqXBCDw/mUjR1M8SIJTyMXGwiefqMeffAKl9LDi97rz6zh39xxO1k6M9Rub/wqFEEI81ZB+aoKTbP6Y1Yf2GTeYYkASnEJu7ly4fRsqVdLPon6P4h/x8Z6PARjrNxaXEi75r1QIIcRT+TVK/3074c8vjRhJ8SAJTiEWHp6+S/iMGWCdz1ncKdoUev7ak6DHQVR0qsiHzT/Mf5BCCCFyxcUmPcEJe3Sf8HAjBlMMSIJTiKUt6ufjA2+8oYf69k5mx/Ud2Fra8nvP37G3ss9/pUIIIXLlyfGOil048+YZMZhiQBKcQur8eViyRD3Wx6J+d2LuMOfIHACWvrKUBh4N8lehEEKIZ+cQwaJF8OiRsQMpuiTBKaTGjlUX9eveHVq0yH993534jsTURHzK+fBGbT00BwkhhHhmmlQbYmJg4UJjR1J0SYJTCO3YAX/9BZaW+lnULz45nu9OfgfAGN8xaPLbHCSEEOKZNPRoCEBL554AzJsHUVHGjKjokgSnkElNhY8+Uo+HDoWqVfNf58qzK7kfd5+KThXpVrNb/isUQgjxTNJWji/jmUD16vDwIXz7rZGDKqIkwSlkVqyAc+fA2Tl9/Zv80Cpa5h6ZC8DI5iOxMLPIf6VCCCGeiZONEwBRSZG6hVvnzJFWnIIgCU4hUhCL+u29uZfLDy7jaO3Iew3fy3+FQgghnpmzjTMAkYmR9OyJtOIUIElwCpE5c9S1bypXhmHD9FPn2vNrAehZuyeO1o76qVQIIcQzcbJWW3AiEyIxN0dacQqQJDiFREQEzJqlHk+fnv9F/QCSUpP49dKvAPSs0zP/FQohhMiXtC6qxwmPAaQVpwBJglNIfPaZ2kXVrJl+FvUD2Hl9J48SHuFh70Griq30U6kQQohnpmvBSYwEkFacAlRgCc60adPw8/PD1tYWZ2fnLMsEBwfz4osvYmtrS+nSpRk7diwpKSk51vvw4UN69+6No6Mjzs7O9O/fn5iYmAJ4B4YTGAg//qgez56d/0X90qy7sA6AHrV6YG5mrp9KhRBCPDM3OzfMNGbEJMWw5fIWQFpxCkqBJThJSUn06NGDwYMHZ3k9NTWVF198kaSkJA4fPsyKFStYvnw5k9JS2Wz07t2bCxcusHPnTrZu3cqBAwcYOHBgQbwFg5kwQZ0e/sor0EpPDS0JKQn8Hvg7IN1TQghRWDjbODOsqTrIsu/vfbnx6Ia04hQUpYAtW7ZMcXJyynR+27ZtipmZmRIREaE7t2jRIsXR0VFJTEzMsq6LFy8qgHLixAndue3btysajUYJCwvLdUyRkZEKoERGRub+jRSQAwcUBRTF3FxRLl7UX72bLm5SmILiOddTSdWm6q9iIYQQ+ZKYkqj4/OijMAWl0Q+NlPjkeCUlRVGqV1f/HkybZuwIC6+8/P022hicI0eOULduXdzd3XXnOnXqRFRUFBcuXMj2HmdnZ5o0aaI716FDB8zMzDh27Fi2r5WYmEhUVFSGR2GgKOqWDADvvw81a+qv7rUX1NlTb9Z+EzONDLUSQojCwsrcivU91lOqRClOhZ+ixLQSrL2wWlpx9Mxof/kiIiIyJDeA7nlERES295QuXTrDOQsLC0qWLJntPQDTp0/HyclJ9/D09Mxn9PqxcSMcOwZ2djBliv7qzdC3K91TQghR6FRwqsDs52frnvf5rU+GsTjz5xsvtqIiTwnOhAkT0Gg0OT4CAwMLKtZnNnHiRCIjI3WPkJAQY4dEUhJMnKgejx0LHh76q3vrla3Ep8RTxaUKjco00l/FQggh9KaMQ5kMz83N1Rm1AF99BffvGyGoIiRP6/aPGTOGfv365VjGy8srV3V5eHhw/PjxDOfu3Lmju5bdPXfv3s1wLiUlhYcPH2Z7D4C1tTXW+lhYRo++/x6uX1cTmzFj9Fv39mvbAXX2lGysKYQQhVOqNjXD88iESN54w4lZs+D0aXVNtDlzjBRcEZCnFhw3Nze8vb1zfFhZWeWqLl9fX86dO5chYdm5cyeOjo7UqlUr23seP36Mv7+/7tyePXvQarX4+Pjk5a0Y1ePH8Pnn6vFnn4G9/bPXFXg/kHXn12X4HyUgIgAAX0/fZ69YCCFEgXIp4ZLh+e+Bv2NmpiY2AAsXQnCwEQIrIgpsDE5wcDABAQEEBweTmppKQEAAAQEBujVrOnbsSK1atXj77bc5c+YMf//9N5988glDhw7VtbYcP34cb29vwsLCAKhZsyadO3dmwIABHD9+nEOHDjFs2DB69uxJ2bJlC+qt6N3MmfDggTqo+L1n3B4qLjmOibsmUndRXXr+2pOZh2YC6urFl+5dAqC+e319hSyEEELPfMv78tPLP1HTVZ1hci/uHgAdO0KbNpCYmN5lJfKuwBKcSZMm0bBhQyZPnkxMTAwNGzakYcOGnDx5EgBzc3O2bt2Kubk5vr6+9OnTh759+/J5WtMGEBcXx+XLl0lOTtadW716Nd7e3rRv354XXniB5557jsWLFxfU29C7kJD0wWMzZ4LFM2zuffDWQep8V4cZh2aQolUXRvziwBcEPQ7i4r2LJGuTcbZxpoJTBf0FLoQQQq80Gg39G/XXrTQfmxT77/n0Vpzly+HSJSMFaOKe4c9r7ixfvpzly5fnWKZixYps27Yt2+tt2rRBUZQM50qWLMmaNWv0EaJRfPopJCSoC/q99FLe74+IieDlX14mMjGS8o7lWdBlAV8f+5p9QfsYsX2ErlxDj4Yy/kYIIUyAnaUdALHJsbpzzZtD167w++/wySfw66/Gic2UFViCIzI7cwZ+/lk9ftYtGUb/PZrIxEgalWnEvnf24WDtQPVS1an/fX22XFGnhttY2PBFuy/0GLkQQoiCYmelJjhxyXEZzk+bBps3w6ZNcPSomvSI3JMV4Axo3Dh1cb8331Q31cyrHdd38Mv5XzDTmLH4pcU4WDsAUMutFqOajwLAXGPO+tfX4+fpp8/QhRBCFBBbS1sgYwsOQK1akDZxeeRI9e+HyD1pwTGQHTvUh6UlfPll3u9XFIVh29T9S4Y1HUbjso0zXJ/SZgolLErg5+lHp6qd9BGyEEIIA0jrogp6HER0YrTuyyvAF1/A+vXqorBr1kDv3saK0vRIC44BpKaqrTcAQ4dCLpcKyiA+JZ6rD68CMNp3dKbrtpa2fNb2M0luhBDCxLjZuQGwL2gf1RZUIzIhUnetTBn4+GP1ePx4iI3NqgaRFUlwDGD1anX8jZOTOljsWdha2lLFpQoAVx5c0WN0QgghjOm1mq8xo/0MnKyduBN7h6OhRzNcHzUKKlaEsDB1/KbIHUlwClh8fHpS8/HHUKrUs9dV170uoC7uJ4QQomiwMrdi/HPjdS3wpyNOZ7huY5Oe2MyapS43Ip5OEpwC9s036j9GT08YPjx/dSWkJABk6J8VQghRNDT0aAhkTnAAXn8dWrZUvzRPmGDoyEyTJDgF6P799AHFX3wBJUrkr757seoql662rvmMTAghRGGTluCkbbfzJI0G5s1Tf65ZAwcOGDg4EyQJTgH64guIioL69aFPn/zXdz9O3VpWEhwhhCh6GpZRE5yrD64SkxST6XrjxvD+++rx4MGQlGTI6EyPJDgF5Pp1+O479Xj2bDDTwyctCY4QQhRdpe1KU9ahLAoKZyLOZFlmxgxwc4OLF2Wn8aeRBKeAfPwxJCdDp07w/PP5ry8+OV63CJSbrVv+KxRCCFHo+JTzAWDXjV1ZXi9ZMj2x+fxzuHHDUJGZHklwCsCxY+rCTBqNOuJdHx7EPwDAwswCR2tH/VQqhBCiUHmlxisAbArclG2ZPn3U3cYTEmDYMFnhODuS4OiZoqQv6vfOO1Cvnn7qfXKAsWyiKYQQRdPL1V/GwsyCs3fOcvn+5SzLaDSwaJG6Mv727epaayIzSXD0bMsWdXS7jY3afKgvaeNvpHtKCCGKrlK2pehURV0PZ/W57DMXb2+YPFk9HjYMQkMNEV3WCmsLkiQ4epSSoi6lDerGaJ6e+qtbBhgLIUTx0LuuuuHU6nOrCYsKI1WbmmW58eOhaVOIjFRnVxkj0VAUtbts5Ei4d8/wr58TSXD0aMkSCAxUVyvW90JMkuAIIUTx8Kr3q9hb2XPj0Q3KzyvPh399mGU5Cwv4+We1x+Dvv+HHHw0cKGqPxYEDsHgxmJsb/vVzIgmOHpUrB1WqwKRJ6r5T+nQvThb5E0KI4sDW0pY5HdPngC88sTDbst7e6QvKjh6tfsk2pK+/Vn/27avO8CpMJMHRo5deUtcmGDxY/3XLGBwhhCg+BjYeyNH+6ZtuhkZlP8jmww+hbVt1p/EePSAuzhARws2b8Pvv6vGIEYZ5zbyQBEfPrKzUke369ijhEQDWFtb6r1wIIUSh41Peh6ZlmwKw9+bebMuZmanbN7i7w/nz+d/3MLfmzlXH4Dz/PNSqZZjXzAtJcExEs7LNAFh5diVaRWvkaIQQQhhC20ptAdgXtC/Hch4eapJjZgZLl8KKFQUbV3CwOu4G0ifXFDaS4JiIvvX7AhB4P1C3Jo4QQoiirW1lNcHZf2s/AIqiMPfIXLZe2ZqpbLt26VPHP/gADh0quLi++ELdC6ttW2jfvuBeJz8kwTER1x9dB6BkiZKUtitt5GiEEEIYQo1SNQC4HX0bgD+v/smYHWN4+ZeXSU5NzlT+f/+DV1+FxET155Ur+o/pzBm1lQhg6lT9168vkuCYiEPBairu5+knKxkLIUQx4WDtAEB8Sjwp2hS2Xd2mu3Yq/FSm8ubmaldV06bw4AF06aLf9Wm0WrV1KDUVXn8dWrTQX936JgmOiTgcehgAv/J+Ro5ECCGEoThYOeiOoxOj2Xx5s+75oZCs+6BsbdVV9StXVjfj7NBBf0nOt9+q+y06OMD8+fqps6BIgmMCFEXhcMi/CY6nJDhCCFFcWFtYY2mmTs19+7e3CYsO011L67bKiru7uk+VuzucPauOz7lzJ3+xHD8OH32kHk+frq79VphJgmMCrj+6zu3o21iYWdC0XFNjhyOEEMKAyjuWB9TxN2YaM7xcvAB4GP8wx/tq1IB9+6BMGXX6ePPm6s9nERKirrGTnAyvvQZDhjxbPYYkCU4hpigKq86uosVStZOzSdkm2FraGjkqIYQQhvTnW38yocUEOlftzLa3tjHObxwAD+IfPPVeb2/Yvx+8vCAoCPz8YMOGvL1+WJjaAhQcDNWqqQOMTWEoqCQ4hVTg/UDa/9yet397m7uxd/F29eb7F783dlhCCCEMrKZbTaZ3mM723tvpVLUTpWxLAfAg7ukJDqhJyfHj0Lo1REfDG29Az55wO/seLp1Dh8DHB65dg0qVYNcu/W9FVFAkwSmEdlzfQb1F9dgbtBcbCxumtZvGmUFnqO9R39ihCSGEMLJSJdQE51DIIR7FP8rdPaVgxw745BN1ptW6dWqrzpAh6qBh7RPrxyoKnDyp7i/VsqXaguPtDXv3QoUKBfGOCoYkOIXQzEMzSdYm075yey4OucjHLT/GytzK2GEJIYQoBBqVaaRLcmYfnp3r+6ys1HVrjh5Vp3cnJsKiRerYHDc3aNQIfH3VMTtNm8LKlWqy8+67agtQpUoF9IYKiEZRFMXYQRhaVFQUTk5OREZG4ujoaOxwMoiIiaDc3HJoFS03P7xJJedKxg5JCCFEIbPx4kZ6bOiBs40zoaNCsbOyy9P9iqIOQP7hB9i2Te26epKVlbrOzYgRahdVYZGXv98F1oIzbdo0/Pz8sLW1xdnZOdP1M2fO0KtXLzw9PSlRogQ1a9bk67R913NQqVIlNBpNhseMGTMK4B0Yx8aLG9EqWnzK+UhyI4QQIkvdvLvh5eLF44TH2E+3f+qMqv/SaNRtFtauVdfIOX0atm6FTZvUFp7Hj2H16sKV3OSVRUFVnJSURI8ePfD19WXJkiWZrvv7+1O6dGlWrVqFp6cnhw8fZuDAgZibmzNs2LAc6/78888ZMGCA7rmDg0MOpU3L2vNrAehZp6eRIxFCCFFYmZuZM7TpUMbsGANA9/Xd2ftO9juO58TaGho0UB9FSYElOJ999hkAy5cvz/L6e++9l+G5l5cXR44cYdOmTU9NcBwcHPDw8NBLnIVJSGQIh0IOoUFDj1o9jB2OEEKIQszb1Vt3/LTdxoujQjXIODIykpIlSz613IwZMyhVqhQNGzZk9uzZpKSk5Fg+MTGRqKioDI/CaP2F9QC0rNiSco6FfIlIIYQQRuVi42LsELIUHBlM/z/6c/7uM64qqCcF1oKTV4cPH2bdunX8+eefOZYbMWIEjRo1omTJkhw+fJiJEycSHh7O3Llzs71n+vTpuhalwmzdhXUAvFn7TSNHIoQQorD778Kv8cnxlLAsYaRo0nVc2ZHLDy6z+cpm7o3V406feZSnFpwJEyZkGuD730dgYGCegzh//jyvvvoqkydPpmPHjjmWHT16NG3atKFevXoMGjSIOXPmsGDBAhITE7O9Z+LEiURGRuoeISEheY6xoMUlx3Hy9kkAXq3xqpGjEUIIUdjVdKuZ4fmQbYVj/4S7sXcBSNWmGjWOPCU4Y8aM4dKlSzk+vLy88hTAxYsXad++PQMHDuSTTz7J070APj4+pKSkEBQUlG0Za2trHB0dMzwKm4v3LqKg4GrrSlmHssYORwghRCFnZW7FzQ9v8rzX8wD8fOZnLt+/bOSo4KXqLwEw8bmJRo0jT11Ubm5uuLm56e3FL1y4QLt27XjnnXeYNm3aM9UREBCAmZkZpUuX1ltcxpDWV1m3dF00prDJhxBCCKOr5FyJHW/v4IXVL7D92nZ+vfQrH7f82GjxKIqi2/Hc2cbZaHFAAQ4yDg4OJiAggODgYFJTUwkICCAgIICYmBhA7ZZq27YtHTt2ZPTo0URERBAREcG9e+n9dcePH8fb25uwMPXDOnLkCPPnz+fMmTPcuHGD1atXM2rUKPr06YOLS+EcbJVb5+6cA9QERwghhMiL+u7qVj5p3UPGEHg/kDYr2rDn5h4gcxeaoRXYIONJkyaxYsUK3fOGDRsCsHfvXtq0acPGjRu5d+8eq1atYtWqVbpyFStW1HU3xcXFcfnyZZKTkwG1q2nt2rVMmTKFxMREKleuzKhRoxg9enRBvQ2DOXf33wTHXRIcIYQQeVOyhDoDOa8L/unLioAVDP5zMPEp8ViaWTLr+Vk8V+E5o8SSRrZqMOJ4nJ9O/cTt6NsMbDyQhj80JCImgqP9j+JT3oSXjhRCCGFwS08vpf/m/rxQ7QX+fCvn2cj6FhoVSqX5lUhVUmlfuT0LX1hIDdcaBfJaefn7XWimiRc38cnxDNo6iFQllS8PfkliqjoLrHbp2kaOTAghhKlJa8F5EPfA4K99LPQYqUoq9dzrsePtHZhpCscSe4UjimIoNCqUVEWdQpeW3FRxqYK9lb0xwxJCCGGCjNlFlbbEiU85n0KT3IC04BhNaFQoADVK1eDHl39k1dlVvFzjZSNHJYQQwhS527kDEB4TjqIoBp2N6x/uD0CTsk0M9pq5IQmOkaQlOJ5OnrSs2JKWFVsaOSIhhBCmqrJLZcw15sQkxRAeE26w9dT8b/uz68YuABqXaWyQ18ytwtOWVMyERKmrKZd3LG/kSIQQQpg6K3MrvFzUhXYv3btkkNfcdnUbTX5sgoKCp6Mn9dzrGeR1c0sSHCNJa8Ep7yAJjhBCiPxLSzD6/dGPg7cOFtjrbL68md6bevPimhd15z5t9SmW5pYF9prPQhIcI3myi0oIIYTIry/bf0m1ktUIjQqlzYo2TN0/FX2vBJOqTeWDrR+w5twa3bnqparTr0E/vb6OPkiCYyS6FhzpohJCCKEH1UtVx3+gP33r90WraJm0bxL7gvblq86k1CTuxNwBYPeN3Xh940VETESGMmcGnSl0rTcgCY7RyBgcIYQQ+uZg7cCKrivo5t0NgBO3T+SrvmHbhlF+XnkO3DrA7MOzCY4Mxlxjzujmo6lbui6NyzTG2txaH6HrncyiMoKElATux90HJMERQgihf43KNOK3wN9YFrCMd+q/g7u9e6YyCSkJfLTjI3zL+9K7Xu9M1xVF4cdTPwLQbV03YpNiATj9wWnqutdFURQUDDslPS+kBccIrj+8DkAJixK42Jj2JqFCCCEKn1putQB1A8wGPzQgMiEyU5nF/otZeGIhQ7cNJVWbqjsfnRgNQNDjIN25h/EPSUxNpJJzJeqUrgOARqMpVAv7/VfhjawI+8H/BwBaVmxZaDNfIYQQpqtd5Xa6WVURMRHMOjQrw/Xk1GS+OvwVAJGJkZy9cxaAjRc34jjDkW+Pf8uxsGOZ6q3pWtNk/m5JgmNg9+Pu89OpnwAY6zfWyNEIIYQoipxtnDkz6Ay/vfkbALMPz86wPs4v53/RjQUFOHDrAACf7/8cgOHbh9Pr116Z6r3y4EpBhq1XkuAY2LfHvyU+JZ5GZRrRvnJ7Y4cjhBCiCHu1xqu8WO1FkrXJfLD1AxRFIVWbyox/ZgBQybkSAPtv7QfAzsoux/qGNRtWoPHqkyQ4BhSbFMuC4wsAGN9ivMk08wkhhDBNGo2GhS8sxNrcmoPBB7l47yIrzqzg0v1LuNi48GW7LwF1w8xZh2ZxNPRohvt/6f4L3q7euufv1H/HoPHnhyQ4BhL0OIhOqzrxMP4hXi5evFbzNWOHJIQQohio6FyRFhVaALDk9BI+3v0xAP9r+T8SUhIAdZzO+F3jAXCyduLwe4dJ+TSFnnV6EhwZrKvLpYTpTIyRaeIGcDf2Lo1+aMSjhEcALHpxERZm8tELIYQwjNYVW7Pn5h7mHZ0HQG232gxtNpTA+4EAJGuTAajsXJnD/Q/jYe+hu9fFxoW45LhCu95NdqQFxwAURcHczFz3/Hmv540YjRBCiOKmdcXWuuMGHg3Y884ebCxsqO9en8rOlXXXvmj3RYbkBtRuKt/yvvzz3j8Gi1cfJMExAHd7dxa+sBCAaiWrydgbIYQQBuXr6UvLCi3pXLUze9/ZS2m70oA6Rqd7ze6AujbbKzVeyXRvy4otOdz/ME3KNjFozPkl/SQG8k+wmvl28Opg5EiEEEIUN1bmVhx490CW1/o36s+Pp37kvYbvYW9lb+DICo4kOAay++ZuAJkaLoQQolDxdvXm8YTHxg5D76SLygBuR9/m4r2LaNDQtnJbY4cjhBBCFHmS4BjAnpt7AHXzs5IlSho5GiGEEKLokwSngCmKwtYrWwEZfyOEEEIYiozBKUCX71+m/+b+HAo5BECnKp2MHJEQQghRPEiCU4B6b+qNf7g/JSxK8GmrT2lTqY2xQxJCCCGKBUlwCsjVB1fxD/fHXGPOhSEXqOxS+ek3CSGEEEIvZAxOAdl4cSMA7b3aS3IjhBBCGJgkOAVk4yU1wXm95utGjkQIIYQofiTBKQA3Ht3gVPgpzDXmdKvZzdjhCCGEEMWOjMEpAC42Lnzb5VuCHgfhautq7HCEEEKIYqfAWnCmTZuGn58ftra2ODs7Z1lGo9FkeqxduzbHeh8+fEjv3r1xdHTE2dmZ/v37ExMTUwDv4Nm5lHBhaLOhzO4429ihCCGEEMVSgSU4SUlJ9OjRg8GDB+dYbtmyZYSHh+seXbt2zbF87969uXDhAjt37mTr1q0cOHCAgQMH6jFyIYQQQpi6Auui+uyzzwBYvnx5juWcnZ3x8PDIVZ2XLl3ir7/+4sSJEzRpom7bvmDBAl544QW++uorypYtm6+YhRBCCFE0GH2Q8dChQ3F1daVZs2YsXboURVGyLXvkyBGcnZ11yQ1Ahw4dMDMz49ixY9nel5iYSFRUVIaHEEIIIYouow4y/vzzz2nXrh22trbs2LGDIUOGEBMTw4gRI7IsHxERQenSpTOcs7CwoGTJkkRERGT7OtOnT9e1KAkhhBCi6MtTC86ECROyHBj85CMwMDDX9X366ae0aNGChg0bMn78eMaNG8fs2fofmDtx4kQiIyN1j5CQEL2/hhBCCCEKjzy14IwZM4Z+/frlWMbLy+uZg/Hx8WHq1KkkJiZibW2d6bqHhwd3797NcC4lJYWHDx/mOI7H2to6y/qEEEIIUTTlKcFxc3PDzc2toGIhICAAFxeXbJMRX19fHj9+jL+/P40bNwZgz549aLVafHx8CiwuIYQQQpiWAhuDExwczMOHDwkODiY1NZWAgAAAqlatir29PVu2bOHOnTs0b94cGxsbdu7cyZdffslHH32kq+P48eP07duX3bt3U65cOWrWrEnnzp0ZMGAA33//PcnJyQwbNoyePXvKDCohhBBC6BRYgjNp0iRWrFihe96wYUMA9u7dS5s2bbC0tGThwoWMGjUKRVGoWrUqc+fOZcCAAbp74uLiuHz5MsnJybpzq1evZtiwYbRv3x4zMzO6d+/ON998U1BvQwghhBAmSKPkNC+7iIqKisLJyYnIyEgcHR2NHY4QQgghciEvf7+Nvg6OEEIIIYS+SYIjhBBCiCJHEhwhhBBCFDlGXcnYWNKGHcmWDUIIIYTpSPu7nZvhw8UywYmOjgbA09PTyJEIIYQQIq+io6NxcnLKsUyxnEWl1Wq5ffs2Dg4OaDQaY4djcFFRUXh6ehISEiKzyAqYfNaGI5+14chnbTjyWWekKArR0dGULVsWM7OcR9kUyxYcMzMzypcvb+wwjM7R0VH+hzEQ+awNRz5rw5HP2nDks073tJabNDLIWAghhBBFjiQ4QgghhChyJMEphqytrZk8ebLssG4A8lkbjnzWhiOfteHIZ/3siuUgYyGEEEIUbdKCI4QQQogiRxIcIYQQQhQ5kuAIIYQQosiRBEcIIYQQRY4kOMVUYmIiDRo0QKPREBAQkOHa2bNnadmyJTY2Nnh6ejJr1izjBGnCgoKC6N+/P5UrV6ZEiRJUqVKFyZMnk5SUlKGcfNb6s3DhQipVqoSNjQ0+Pj4cP37c2CGZtOnTp9O0aVMcHBwoXbo0Xbt25fLlyxnKJCQkMHToUEqVKoW9vT3du3fnzp07Roq46JgxYwYajYaRI0fqzslnnXeS4BRT48aNo2zZspnOR0VF0bFjRypWrIi/vz+zZ89mypQpLF682AhRmq7AwEC0Wi0//PADFy5cYN68eXz//fd8/PHHujLyWevPunXrGD16NJMnT+bUqVPUr1+fTp06cffuXWOHZrL279/P0KFDOXr0KDt37iQ5OZmOHTsSGxurKzNq1Ci2bNnChg0b2L9/P7dv3+a1114zYtSm78SJE/zwww/Uq1cvw3n5rJ+BIoqdbdu2Kd7e3sqFCxcUQDl9+rTu2nfffae4uLgoiYmJunPjx49XatSoYYRIi5ZZs2YplStX1j2Xz1p/mjVrpgwdOlT3PDU1VSlbtqwyffp0I0ZVtNy9e1cBlP379yuKoiiPHz9WLC0tlQ0bNujKXLp0SQGUI0eOGCtMkxYdHa1Uq1ZN2blzp9K6dWvlww8/VBRFPutnJS04xcydO3cYMGAAK1euxNbWNtP1I0eO0KpVK6ysrHTnOnXqxOXLl3n06JEhQy1yIiMjKVmypO65fNb6kZSUhL+/Px06dNCdMzMzo0OHDhw5csSIkRUtkZGRALp/w/7+/iQnJ2f43L29valQoYJ87s9o6NChvPjiixk+U5DP+llJglOMKIpCv379GDRoEE2aNMmyTEREBO7u7hnOpT2PiIgo8BiLqmvXrrFgwQI++OAD3Tn5rPXj/v37pKamZvlZyueoH1qtlpEjR9KiRQvq1KkDqP9GrayscHZ2zlBWPvdns3btWk6dOsX06dMzXZPP+tlIglMETJgwAY1Gk+MjMDCQBQsWEB0dzcSJE40dssnK7Wf9pLCwMDp37kyPHj0YMGCAkSIX4tkNHTqU8+fPs3btWmOHUiSFhITw4Ycfsnr1amxsbIwdTpFhYewARP6NGTOGfv365VjGy8uLPXv2cOTIkUx7mjRp0oTevXuzYsUKPDw8Mo3MT3vu4eGh17hNUW4/6zS3b9+mbdu2+Pn5ZRo8LJ+1fri6umJubp7lZymfY/4NGzaMrVu3cuDAAcqXL6877+HhQVJSEo8fP87QsiCfe975+/tz9+5dGjVqpDuXmprKgQMH+Pbbb/n777/ls34Wxh4EJAzn1q1byrlz53SPv//+WwGUjRs3KiEhIYqipA98TUpK0t03ceJEGfj6DEJDQ5Vq1aopPXv2VFJSUjJdl89af5o1a6YMGzZM9zw1NVUpV66cDDLOB61WqwwdOlQpW7ascuXKlUzX0wa+bty4UXcuMDBQBr4+g6ioqAy/m8+dO6c0adJE6dOnj3Lu3Dn5rJ+RJDjF2M2bNzPNonr8+LHi7u6uvP3228r58+eVtWvXKra2tsoPP/xgvEBNUGhoqFK1alWlffv2SmhoqBIeHq57pJHPWn/Wrl2rWFtbK8uXL1cuXryoDBw4UHF2dlYiIiKMHZrJGjx4sOLk5KTs27cvw7/fuLg4XZlBgwYpFSpUUPbs2aOcPHlS8fX1VXx9fY0YddHx5CwqRZHP+llIglOMZZXgKIqinDlzRnnuuecUa2trpVy5csqMGTOME6AJW7ZsmQJk+XiSfNb6s2DBAqVChQqKlZWV0qxZM+Xo0aPGDsmkZffvd9myZboy8fHxypAhQxQXFxfF1tZW6datW4YkXjy7/yY48lnnnUZRFMXg/WJCCCGEEAVIZlEJIYQQosiRBEcIIYQQRY4kOEIIIYQociTBEUIIIUSRIwmOEEIIIYocSXCEEEIIUeRIgiOEEEKIIkcSHCGEEEIUOZLgCCGEEKLIkQRHCCGEEEWOJDhCCCGEKHIkwRFCCCFEkfN/LuFqKN9+oq4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tkl.mapping.mapOn(noised, reference, TP1=range(len(noised)), verbose=False)\n",
    "\n",
    "plt.plot(reference['x'], reference['y'], 'b-')\n",
    "plt.plot(noised['x'], noised['y'], 'g-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7e2de41-995b-4a37-a077-b0b24e40e37f",
   "metadata": {},
   "source": [
    "## For gallery"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0af91c36-f81e-48bd-af05-7821b8a44d52",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 3))\n",
    "plt.subplots_adjust(top=1.3, wspace=0.2, hspace=0.5)\n",
    "\n",
    "#\n",
    "ax1 = plt.subplot2grid((1, 2), (0, 0))\n",
    "ax1.plot(original['x'], original['y'], 'r-')\n",
    "ax1.plot(reference['x'], reference['y'], 'b-')\n",
    "\n",
    "# \n",
    "ax2 = plt.subplot2grid((1, 2), (0, 1))\n",
    "ax2.plot(reference['x'], reference['y'], 'b-')\n",
    "ax2.plot(noised['x'], noised['y'], 'g-')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (tracklib)",
   "language": "python",
   "name": "tracklib-env"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
