{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Reconstruction - **Trajectory on deformed lane**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from pathlib import Path\n",
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import savgol_filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here the idea is to take the coordinates already transformed and convert them into the new reference system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "VIDEO_NUMBER = \"5\"\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "CSV_POINTS_POSITIONS_FILE_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"reconstructed_positions\"\n",
    "    / f\"Transformed_positions_processed_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "CSV_POINTS_POSITIONS_DEFORMED_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"reconstructed_positions\"\n",
    "    / f\"Transformed_positions_deformed_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "\n",
    "df = pd.read_csv(CSV_POINTS_POSITIONS_FILE_PATH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "def showImage(image, title=\"Image\"):\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    plt.imshow(cv2.cvtColor(image, cv2.COLOR_BGR2RGB))\n",
    "    plt.title(title)\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Template shape: 684x2340\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "template = cv2.imread(\"intermediate_data/Template_lane_1.png\")\n",
    "\n",
    "h, w = template.shape[:2]\n",
    "print(f\"Template shape: {w}x{h}\")\n",
    "\n",
    "cv2.line(template, (0, 65), (w, 65), (0, 0, 255), 4)\n",
    "\n",
    "showImage(template, \"Template\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original coordinates: (49, 1625)\n",
      "Transformed coordinates: (316, 2086)\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZdDxJceXaPl68vIsr1/aws3uEg8MpJtM8KkKh5XSuZzDsYXU0xOb6CGdOruK2c5s4e3INKyt9gOZLpRDlWvHlnUO8dGUXV6/t4/peTs/R8SxPn5iJzV2KYZE+2Vgf4fSJVZw7s4EzJ1axsuL7WE1pIyJkRLi+f4xnX9jGM89v4/LVPRNlz2YZZgVNOh+maVpfHeLk1iounNvEPXecxPkzG1gZ+mZvkbnOKriJzyAoZFmGvYNjPPHsVfzxV5/H089dw9WdA+wfzJAhQUa56QRyk5oooKcyrI76OLk1xl0XTuA7Xnc7VoZ9nB705sqP6Ynd25/g8Weu4MuPvoCnn7uGazsH2D+c4niaISNlnGgiggJh2FdYHfdxcnOMOy+cwIMPXMDKa27DcNADJfNPZpoSdveO8fjTV/BHX3kO33pxF/tHBNUfoddbQa/XR78/AIEwnUyQ0RTp5Dp6aoaTmwO89lVnsTLs4cTmGMOGDv2i4eY+8FL4Fdeuz7CH23HvG78Hb73zXpw9ex6bJ05iPB5j0B9CKWA6m+Lw8BDXd7Zx5cpLeOHZJ3Ht0uO4snOU3xFYIE3bu1NcPTqBM/d+Ox68/R6cPX8HNre2MB6vYTDMo9XpdIajw0PsXt/BpZeex0svPI3dl5/Cle2Jk4GfF5LCFG9Pz+Dbv/sH8cP3vQ7nzl/AxvpGnqLo9Wzgk2WYTqc4ODjA9vbL+NazT+HZJ/4Y2/tPo9dLFsikdlA7QHjpr74T51e3F9o5Ic9kP325j3te/UYMBoOcqJptZ7MZnnr8K7jzxL5JeLblp2bCdJri8RcJ97z6L2A0GtfCqdtOJhM8+diXcfeZiUl2zjO/Gu/O7jGOBvfi/G13NMKn/bknvvaf8arz+R2KGyFvLx2cwPl/9cnKerWF7dn/6X24a/PK3ISFgJCvyqee28ZTz+2gNzqBlZUN9Acj9IonvdPZDLPpEY6P9zA73MGd51dx38XTrVMoXvQo6JlMUzz6zUu4cj3FaO00hqMNDEerGPTzBTFLZ5gcHWJytIujg2vYWJnh215zHuORv2A4FTw6DdOniujWHnPIMsLL2wd47qXr2L5+hMk0her1C4Qp1sZDnD21ijuKOw4mIIhyYn545vpZ3P3rH62sV9uMXvqR/x53XXh8LqKiQIQEwL0ALqYZJrMsv5Uzsxnq3CFXWBn2MSgiUAl6c8Bslpkb3WlK1qlHEbH18v+JStDr5U61szmACEMA307AdJbi6HiG42mKWZrjA/L0ST9RGA6SItpLXAFmqQ8CkM4yTGY22p5MU8zSDJTx3AWQqAT9foJBP8Fw0M8j7n6+iQHI94SdKf5nWTG24taCDhKCfuINdNYuvXg/7q6u9sp4SJkzp9dLMO4lGK8MipJy7URFXu5oMsP13SNsXz/E7v4xDo7ye4/TYlL1jpR8Env5PVuzOYDf7IaTrhgOerXu4YYm2ETcxzNcvraPly7v4uXtA1zfO8L+4QTHkxSzNDUCp5S9Eb82HmJjfQVnTq3htjObOH1itYgmc21HRPnOENFXjJZXArwihI2Dz6hqxk1nKS5f3cOjj7+Ex4ub3XsHExwdTTGdZZjOUhDlwjPoJ2YXw/rqCk6fXMN9xeaAO85veemBuaPJLE9dfPOpK/jy157Hs89v49r1Qxwep5hMM2R5yFqY1Qz9hLAyTDBe6ePU1hgX7ziF73jd7RgN+xgMRkiMeQ0nkV/J8IoTtjagbyw/9a0dPPr0AbLeSWycOIsLW2ewsXkC49VV9Pt9zNIZDvcPsXd9G3t713D56ou4urcDqGu468IJpFkGYHE7UTQoAFd3ZthXd+LeN34vbrv9Is6ev4CtzS0MV6xfOptOcXx0iOu7O7j04vN48bmncP3lJ3Btb3rTI8lFwJ8JYev3E+weEO79rvfir3zgu3Hy5Kn8Hq0K+y/6JvxsNsP1nR185U/+P2xf/nSRZV8s9JLcz1RbD+J//LGfwMmTp4KbFiR9QB40Xb58Cb/7qY9gPIK5bXWrwp8NYesluP/uLfzx01/Fo1+aYOvMRWyeOIv19Q0MBivo93tQSWIEbDqZ4OBgF9e3r2L7ytOY7TyGb7tnCwO2E6XtE45ycwARYWN9Bd/zmh18/ff+N+xOt5CMTmM4OoGV1U2sjFbRS4qIO53i6OgAk8PrOD64huz4Ck6sXMcPPDjAeGXk4b/V4JYXNs38k5sr+N4HgaPjx7B9/U9w/YkU3zrKMM16yCgpfDZCggz9JMPaOMGZtR7uv20F44sDKGXf7Wa3HxVb34tt5r4AqnyHba/Yyp3ku4ATprn0Pchzp8Y4dwogmmGWvoDjybO5PzlN8+3hKDZ1jhMMN/NdxL0kgVIb3lhvVbjlhU2DTlmMV/oYn13Hhfjbq8AfCvF2QhTb3nf3j7G7f4y9g2McHs2KVEwhGEW00S92/I6KG95rxfby9bVhfruKyDOZSgHDpGeuSxr+LMOfGWEDmk5auO5kmuKFy7v4xpOX8fRzL+PqtQPsHRzj+HiGySw1eS2+42O8MsDG+grOnlrHq+46hde86izOnlorTTg3p/fWhz9TwrYImM0ybF8/xDeevIJHn9jGYbqC1fXbMN7YxMmNLYxXR0iSHmazGQ72D3Cwu4NLBzt49uo1bLx4CUop3H5+C6e2VnED4o1bGjphEzAY9HBtT+G1b3kffvivP4QzZ89iNBqhl/Sike1sNsPBwT5efPF5/Ml//RyOjr+Jfu/Pl9aqA52wCRgMenjVHRt4fPtFXHnpKVA2w+bWCYxGea4uSRLj8qVpitlsioODfexsv4xrl5/GydEubj+3bm4vdWChEzYGOsh41R3ruOu2bWxf/w+48vgxnjgCDicJUhoASX7LCCAgm2GgphivELbWFF57YoTNB4dIisj2z5tPVgWdsAnQAjLo93Dm5BhnTpa97n4Ybd+BD52wlUAnOIuFzrHoYGnQCVsHS4NO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg07YOlgadMLWwdKgE7YOlgadsHWwNOiErYOlQSdsHSwNOmHrYGnQCVsHS4NO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg07YOlgadMLWwdKgE7YOlgadsHWwNOiErYOlQSdsHSwNOmHrYGnQCVsHS4NO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg07YOlgadMLWwdKgE7YOlgadsHWwNOiErYOlQSdsHSwNOmHrYGnQCVsHS4NO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg07YOlgadMLWwdKgE7YOlgadsHWwNOiErYOlQSdsHSwNOmHrYGnQCVsHS4NO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg07YbkEgIhDRzSajMdxSwjaZppjO0ptNxk2HvYMJJtNbjw+3lLDt7B5i/2Bys8m46bC7f4zJpBO2GwpEuCXNx42BW48Pt5SwdcBB3WwCGkMnbB0sDTphu2WhM6MdLA06M9pBB1HohK2DpUEnbLcsdD5bB0uDzmfrYGnQabYOOohCJ2y3LHRmtIMlAXVmtIMO4tAJ2y0Kt54R7YTtFoZbT9w6YbtFofPZOuigBDph62Bp0AnbLQrqFvTZ+jebgCYwHPTQ63XrY311iOGwd7PJaAy3lLBtbYxuNgmvCNhYW7nZJLSCW0rYlLr1TMeNgFuVD51N6mBp0AlbB0uDTtg6WBp0wtbB0qATtg6WBp2wdbA06IStg6VBJ2wdLA06YetgadAJWwdLg8a3q+zL+MpumVDJ9bJrpT23bNfBYoDzP5eBprfNGglbLmgKKSVI0Yc7+Qr2wVmXCFXsK+U1bhyEenGZVF63Cm+bUZS1kdea4a9fO8aX8tZ5DbdeDzP0VAoiaiRwjTVbRgrb2W24lN6DlAZNm3dwi0OCFKd6z+NM72n01axR24bCppAhwXZ6G56cfDuOabWkZg4hXRdaS7n2U96xB3WsOJrqh2oTXYXPGa+0OMuw/qX9uBd9PV+TSAL6aop02Mep3nMAbqiw5eRl6GFGQ0yyoSWynZYOQ5120qLNY+VCfccsL+ALUqhfYmiqcFSVK+Rvr64SiLr8j/ZRjj5vopBSL64MSqDlfrbcByN2rEhfsaCIt/DnpXQhRopVrJ7un5orEgevFhIxnqp+y2gu7aesQaAsqPOVrOMKucdzCjSuJWgmNKiuHICGqQ9lO2KviJdhgoJPTqWA1ew9BpoR8whamQvfFMoUShs85P2t6Ixd0v2G+qcGDwXa9u1MRyszWl7Cr6igdq5QBkGoax3bsKFKUUlLXY6pbEr85RCywAGLHKWJg6qoW+bpVPmjQQFvuHpamFFLerk/KhxSRpxU5QoA8Wv8MpsNxSsE+ywpE/bQMLDM9wvgVTE8xZkiOxa/vXLLOE9kP2IoBm/ZJFPB9pI6uh9dJWjG2diVritxtlDTc9xBEOqX+wyh0JMvITFhvD5RYKVFOGMoCKlOChwHyCIVuN5AoJ0PzpDHlThdAEiRHTC/LmnWVeQikO24vSzz/dhvlSXw+pW4GkDrB14IPFXLiXH9CgVlS5TlgtaL5C1hi4egAh6tu3TJU3m6HwAs6UgAKEuRZYRer+/gJE9lWtWj+Dg1LUxTKcXEKySkXCUUavHocA8rK6tQSQJSrmTo/nTvbn+sI2VpDKp8h2/SpHDeC9WuAvVN2XxfA2yl2Vxxii3H4qqSS5C3CrWtUkv8mhQQ0U7lfWh6j48OcH3nSpBOj46CqaTKaYmzPj6OnWtXkGYpQtJpqQXCdOrykGdXohqjZaF+YvXnC/BaCBvTIFLKY3IhywiRthF7F+Vp3f6LqSMCsgYrM7x+2BxRoKz4U9qN5p3oICYLwf7JrVdnWJLumKw5dPr9UtXwItDOjFIxcY6AaDUrnMmgAxc+LR1B5FqeV+MLINZOMUFoyCqOQ2sVM2EBYcngKx7ePrZYDA7WuFTg/DJCwJnn5xkKr7+dwGlr1EbDzf+QMtcehStBIChSsoIPZszkxbbWb/HjXm68VNGp9iVUlMts+QfnmLeXs8XxAYSsuKqcdsTH4WhVfY2bv5xm47uyCSSPH4weT4jlGItK3qIjw0uizOnXpV93InFb1G1hrjsI7hECKyAWFsXqhy+HrnHM3Gn167rXKIJPti/0tCNE5ODyccdodWuTuML788u9cTjFASEzo5QZHfeaxB/3FQUPKhRuGbRMfSizMvgKzI+V+Wf1kvJat+/PlsVwluIXkyUzKvGsh6996y5z5fSjRLmNljX36oISU65gceQCopw+3LN6dMsxthEyDXOYUf9GBwXWhTR6oXYQ18N96aPwCnW1Tgl+c0M7rOOkNi3HW4f1KsAB3rudzBD38jYqOCafGt8BC+vNOK1+W2HFiFCyJ6cUWmg2AlGGLP+GtlOe/2iHMjQxzG9ihIOKCIeyon2BQ0dsTj+ZQMlxyv5sP4Y2XubMjZgob3yhMclLETq4u+DRIsYTaEuhMUs+mf4FP5xydsz5Zpqxfgxt5Pz3xbk+tNNsJlFqGWmNQfFL5XrDtCF7LRgG6D+kTbLUc9qP4A62psmlhzPa+DXO3PusVOSOIq5jWLRr6rIaxIKPYqKJfH7oIh4sIDg+zQ85RvCWYjhiz63Am9MZFiObx877WZJmCwFXvfYfh5jlV2zVhUyX9WOUuBLDaX9t0pjVNMJj2a5r6FrhZE1AEItz17OJa9ky6suWpr3utydRk+swXsOnMbxkHEVQQksb3dYyz2Y1TQ7usEIegq5Nor7rripvqJxxvosebisdcbeJG7rwUXAa/TFY0eJ+V9hNt+DShGhNX6/LOio4xZovEuwCctvxIIREXV1DzqA73vbQStiIrA7S5PAJcvWF1A12ap37pgZs0sHFL2tyPK6RkQLrmg4rIjbYsPVJYHHp8q/IBRSimY9W2gCZoJC8IOcaIKdc8oOPSD6oAo/fYZ7ZxK1i+pS7AGEBr4KWPps+cJlFvAgAkAGkxGJ32e0C1TgO4QnVCRhAknm2UB/C7DrX/Wt+L0B4u7D2QQs8VEZD6DzGA9+TK69f/5yC/Ss/bqoJ7Xw205kr7f4v/MWqrxvJZNeJX9PnAp/zS/a/KScXl9NfoB/vWLltnf6Uiy+Ih+DeDiJWJzBLTj9iHA7uwH8otw6nVQuhR2OAZmdMktdiToNCXA9aCZsyYSQVE6DsBWUqALFnCk17FsFJpcEFx+zgY+1J9OcJNrl0ONq4qMzDYRkhcNpNmKiF1vUVTVtVHITum5rqrqsuLrIfJc4pWNWOFT4PeZ+Oe618nJxXXPuqEA3tBK7dFiOnT7HcHC1ClnBT1apjR6DA2gW3JTEtJk2Rc864yrUNB7bfLTA6gVO00RPLhbTMrvB25pdrD6adZN+6H72wXLVm+9U08K6MlpXDY+253BPrz7CQ8zA+xLrQ/PULjDYSFxzvTRJHzF0l6T7nwK875eTX9QjiBUEZMpSFc0kOfVwYwmPx+mI4QwGJJM9PDwkBii3EwHhUgAaf1rLyiCYO0a58UupCY2HzFgrT3Y6gKREdFYT60aYybUircPbLBdidTtujKXPa+rQbOkJtISNgfUXlwmlodzGGTBeZlpZqk27Qd0t0vQK37UfaQ59OU6xZx8lWQtlKLV5mbvkANE1OZ5ya5iI3Z1KXdRi6bSQ1krc6YVUkd6qZKvdSxLqNh5f4CRxueqSRX12PgWQ1qQHIHas2NZFlKM/MtAkV7kTIjqZi+LkLIvxXdyEyweBC5vhtYliykrMouQnndZvB/HcQNNM8pUCcq3YcXFC0Uy38bRe5csfJfQzZRlkNEvIziPONn8dABiaaDkfL8QUHf04Y/QSyikYOU/cnmjp8jAmJ4k2Z2AXKGGJ7idfTWlzJi/N/Laudz1YQYpQSo4v7mQ6ISVZ8bz8BzuPzDF8wBQGfR/aQrccQd7jQGt6KRC3ZA1cT8XHYRcQ1iCuHrtGxT9mTUdDMs4C7m8IuFinvgEipikVj0sVSKUe8AEeOhaZ03kClAn03gFY+m3awuWlzman/Km9uINvoUz133HJwSyXbA55y86o49AAqSZD0et5ESDky9JMKKuOgVmKnyleqzvXReA1JooL1ed+ck1JS5FpULgK3LkGMIwO/VcfdFEXu7TctasRoio2tCubYz2Y9Tc0S1+mXhLnTRMHrXMhYXe/hTrvO/Vsqtq0ty4+GK2MMV0aMVrD6yqEuTL8gI6IuMlPqeuMa2+bWGaevMI+IYSG4fbn0kujD5YLy6nBdLvnm3x7jgw6Ntz60f26UModcV10ItaHtkEOrrBNaksWvp4aIzT359Vg/XopFFbdbFKNH2hKpipkdJW8upEhzFFLtwJhLITch01BodH1iGlucrC05POEgqAquD4JYFx4WXZSFymvCfA+8SA+7zHY0qVPnWlUZRarJ9dCWNqquUrt9xARSxF+NtqkrB2X08MUUxEdo+6DyK+QFztpM3Ai8detEZnweCWxFz6KhDZ3xKvPEpEsXttDGyhyUU0e2cn/lcagsJjzxfn0bU5yr0GKI5SEi5zzsjEKIN1ULkSrqBFI0lVCGs3002lrY7IPlYaJiAlP+fI+t4+KQjrMu89u6tNhAxa0nmRnDqaOwsv7c+lE7RHz/WoiO/JoSi856hKExEmygwKNXLrRyfiQNEvh1GQETMgq3qgPt8mwU0k9hwt2h1XHMJNa4BuMRX5iWpg6ZnDZbGg7662lgd6lU88DvnxxRCvUV2qPnx7lNLURIiei/zUWutWZTCCS/xEKNra0SDe3+xq4Xx/nGhoq8Tx03SuIN1DG9lFuYoMI0d7eoBg5dLFlbxq8aZaExRaFEFue5i9D6Rjzpx77KIhNzKZQni+jjJgJXVsb7dMxggA5ZLO9sV9Ea8sVi4wje141AlSKtLIuMz6kX8SMjAkdl+CpgYQECkTWsfmhMTj0gHD7LMhLtQjos3kbSQpGyKvNYh6vxOs6rISILs24qId8xEjaTZXSV8hXyWdE4rw3OFoIGzJln01/4IGYe8pvNKnw90l4fyzLHfIlz/mUR81KZ4sa5rBMTbE4bb+PgqxpzSZuyBRWiTdZXyn1xjUOvoNuDQmEppTz69HYmxTYaeLQW5R5tiv1vCK2FzW6T8o161Wpucj0GtTRjBZ42tFX1U3c8dWiNabFamlCv/xq0NtO4ihuJRtBC2HKx1ubQA68o4q85x6FlQoj6E8H7drxc4i+jSd43kv3HrpXRU3fZSxpC+Ktyc5yHkubQ9VB/QBgHvHPjqy9Hs2mfq0n92DlF6sTaNi2vU6/MP6vru9Xtt277JrgkD2O01BlLFQ4OzaXtFXK7qh209FNfkTDvWG4FXjQWNseLIP3Qb7gevxasQxYHRH3eJromRY6tjX6RNJr/Vf5eDAeLGGN1+LU6hrRK/8fax/7H6AnRba4X48rfjt7OaZv7gZdi261DVF7RRBDVzCKyD7sA7nGgbVSouPAVOCi281I8CBJjcHTnZowO3S/HGxgPP47R2FTgoPvKiY9WKeVlCT80WlVWoQSaazYCvHBbazhnS4wQujqIdf0mW1jy2wgAT5lwfDFcul0b8J4VCPQr+ypDF8LZFuS4Ani9lE7VuY+hFb2NhS36EEWMyW2FrgXM80EIB7ynw7E4YQgAST5VvlGgJi01NGZBQD18Ret8c0JzXrfSbHmX1T5ZqGEbax/yfZqxx8cTOjf4Q1qRmxcvAVrPzNah0VmgXuZfF5eYfkFXcOxO/s5vH7vfnPO9/aKb7w4C3EHrvfdVmSHUuF6n/o0SuCrcHFdVFitGdyiTVUaLzJ5FP7UQKKtSCI3K57AerT+6kfdLrgOsVJRxdVOTtdvwwEQEKdGyEA7TWQMzz4MfHhyJX4OalxW+ZSYDq6puy8oDpl7xa5GxhdLrQZoZ7aS/1bW021VyI4RQ+021kCqENGY2ohALSKqCgypcYSLDeCuit9C1oJluAV4UGzOPoaha3N+VuIjVc+nU0XZzeufQbHHrbYQHKGeoHgj5uGKm5mZA2WaCBkiik+7xKFAWMtGtI3jeNnYeKheasynM8QlI95erXSLvtTFBP6b07USArxHYcchXKjr38JSZC14n1CfHWeVblfWrcegxG/rFeWgM3A8O8dR+SinO85jWK/M1PR4TQT9u2GbptXunLvwO7YO5cK6VOaeE8EDL+xaCLcpjbXi7kPDnW699DJLu0Dhj/fK6MTwUOC+7m8DPQ7yNHcdorTOHLq1le93KYa4vvHBSQwyvY/qaquOo6TZ/w4xQkWP/3NcqTc7b9WnP25inmHYqo6fJdU5b4UG1goV8lc/ZeKiJkxl9FOZVRmAR/0VxH0e3hXI44jC4uI/ibUAs8Hp9B+tZvMpWzM8lDjZuTbsSeB1+GBrZeLQvqPg7RdzNmXIjqsSRk63sa91AznhDfHN5EI9D+VeoFwHNhU3ZMcU25sV8D14nCNyvCERszqsWeLOy/lh5Wd9S8D0TVIZD3w+NtXELveuybWwzZiyK9fgiaI3xTbeOnYf51V70Wm8xav8umz+DMG+kektB+5zAUvezvdKnpCl9Zc74rQLNx+z66k2guRklgCf1mKKudNIRvRL3G+oEGVUgneeqyLUch0srD5GCT3+Jvvi5e61JUsXSEjDUXi1uh5IAnTyqlXMYj2CbC9wcmo2QUfFkPLG0QknurI4IaieZlxIZGXcYw9cYifqxLrjbw/HxanH3puwNPtVT4LlcbMFSsYDNWOEeezSSq2VCWjZEkXnRGcX7CLyVjo2hvQ6f4+mq4jV8xeeCDAksoiuoywt1uTi3WXXdVr6oj3eaIybWjxuO2xcV5GhV4JrAB38yQSieUybAiahZdKbp9dSme7+Us0B0wYItplOUwC/xwNJEom8eXBL/ZdVI02dDZEsIm0c5PKfQGXB9mPsb8YV8FHRoc8rf4mhTlX72HOBfucuvK8tPrnmM9rTfGOVJUL6ZRpm/ggLGOdOOz6yy/ehSX03m49AzY7QH2a8BcgHic0qsHu/XvnI0X7xu2kWZtIz8hqDhHVuvVn26DORzYl4lqxckufNoR2Ffr2+/E98e5njzpHsfQaphuTC9ZyC5+maDNLqJmRg++cTrsP+OgGgamEA6VJLt19KXGdHQ5gUBvPwFoa5iYcaHHUhNIcv0uRLnXn2OPIA/k4uk+KvEuWmlWUEOG9xFqEQbgaUptLxd5R87KpfcxGReQbl1izrRlaLVPft1LoeeVoefjC2jlV9TQL7tJ4YvggdA4AUGbj8Gf6Qe78tLejuVCgEKPJGveVoUmPpyCxTnvYPXSVYz+klwaflmtKBLzpYWMi1YSvk3243PYLVIMNrRDBRbpB0GaPOh+2BblWYZkJLKV7w2GRY7O+L6wPYBVZg0Za/Jmx1gZs9hBV8bnuPj1uF1ewlhkDBTVVy0dwIEqpLdHq6LoYdIBV+ZMDK+Gf4YvAqAMjx2HwlYkmZT5petCNhV6QiPcv0KuZFPRX7ldRelci7yW0hQQEqE4yzB4bSHjAmJ6doIAkF70ATkj6nl3BeMZX4Na5O7bVTMT4GHIv1wOvQfLg2KMOwR1vsp+gnDJ8asmHZzFiPng+nDnQ/JNz03HJRlqsMzPr4WcgZgLjPKjH6gf8lvVrW47q5TqeGkqQrV8WmCeSMpkcKUlGMa+fcGrF9IPhKQePG4rENaPlytEeiHt+EQ+uZITxnMLrPEbTQtcHKXhuwyzkPf2Xf0Okl/lA1DCUvVAOYIEKyPIz9ILZ13nki0i9kXNMZ/JIXpIFgGaSzmWQfmu3AcusR5aom1s+ZWtDQqx2osp66YWXLUGIxaC6U6ZArIdk+2j+JU5iotD1g7p8xyNCnOeZAmcYU+3s35lrNIOXTkdRRLpSzVZyPm9JLDDcmMkCByUkOm03GAC2ySOaA4XhJfI1GBdh67AhqIJ6+s3+dedyaV7O4MVxjg4CCBQ57K+Mf3DDktebld1HZ8hgZf1kVrOG28TRbmb1u9NudOXbuSUPgvfDDKY4aeN736+LWqvhx1TkCi/Enx/b7yGzp8MYQWgT2PP9qmxHFYmO1Vb1F4NIfH5Oa67K+ntyI80Wm3yLMvTk9WaK25ldarDbR+BkFPo2ScZZ5rJgGYxCPFrkNMGsOd8TpK+w+CrKIxx+ybkLhJ4r+StjrnMRyh0qilBRwzzGnmGTp+7iwQyRN+XQk+snpKcM2KmtVqLurmgjdXUld3aboNLFOeAghNDAJlsXrWbMNRa2ZClGViVmTfXVxcV9WDkFBoWkpxyBUTqeyP1fd/ZX6ujHfedXL5EmtXhdOUSWluAHOY0fBNaQKKL7tJ30cfhPQXh/jMSE3KoyZnopxCaUbLjYFr7ATpgpYQtV4OC7m9rxROx1bYMdRZFOHHi4hXqNTQIXr8iFUh/AGSerDw/WzVeiPka7jXq/HHtE1Y+Ks0qqwfwlNW3z23wq15UaZVvPKKrstNNNXgf10I3Qcl0ByfSpvzgRffzFURkpsF62s0022y93CZXdvt2OLrNBkGVLV3eVMuIOwTmoUGCqZOgvRVX6vDy7qgo9q2hnSuPJtXhvKoJRA7hXHXpKFcP/IZc01K3rjEnBNsNKMLomEcuTIZW30yH+eUcTrsbM4jKAzbQsAJAlsiXdhzo9bHiIu+caECzGzD2GB9ElcEZ2R6wqmrGBWSo6H6MYLMk/6h9hVlgLlRXsmPEg3ozU1NdRScBwKLctuL8JzfG4U/iFACSWbP9Xzyxe4dsALnxnCgD9MPL48IWRnxDZdsdIHUwqPtgO9xKVmNdxhCE8Ab5JFU9gF8YdKZtMUTdZUwVzRqTYgyZYqdF4VspftRUly/Ma+LKDABglshaQ1Gy1Xcr1ID9nrECAfrh+JbN9gpxhi+xcB+FCvlT/FzvoHxSF9WbjV57I2mbGTtBG6OD6XZI+UcKb+OFEBTT5ZBlCu2560qgrVM0n4FN/b2b0w96F64t8Pxyr7zazL54o7GXiNBI/+2fRiDW9/+t7XckQS0otM2hNdv7/Yj2zaL1CXMbUYdTSEWhp50pc+Z9pHaWO/X8haqp7EoT1Lqvp36+twKSp77dTWYa9XdjswZWYtBxSCUg89lhLODRFlyOOh9YYZXDj0KRJnhmfUY2A4TVmaI5btp2XzYXVfkWFZ3SToFBoc+N6Fe8ceJmVpAy49uyHVdoqK1kAnTF4tmw6PhLMpNdb6Dwx+9ed09CaZz8ySspREs8rvncYEjlnyNiYXjRG6w93FlEOqmOFy+anck1KejpUWehD+jAaceww2ArDQbrZDXtHPJxDinxZnH5tDCjCrLRear2V9yywyFwRiWnVvxlcbFCrT13ZTTPmwaFMQk6/p60sw1si4lo8nb7ya1gS4NnOu2mgauRZ2dT05be4ONcwOCH742tnW4G2CVgTsnThu2G9LOpjtmYuVhTteDlj6bq9OUEAReD6YW9+7sYOXKtZuWrfqpctftLwWvWQrsFSVqVAdZbk+2vT/5oQXFW/kCbDUx51iYJLvcNE7uZUIc80+gW5wh/9keSy/NX+DtoKXPxvyf4hdcm2vGKbeWXeJkmxgfS9fXJoThZm1cE0iF+lfu85ZGQ8i9ZhyFEFO5Gzak0di5v7rDAmfvL8qFENnWpMfOEr76WQjnvm/BF7cMIL7FWJ8bQXaFnaRfpsSY46u1FbR+bjT/y22PZBsrkv6AM1lepOAwGpZXro9mlm7utxAJRnpk8B1g3hRzyRftrXjKNc+1UAAjG4+rp6UYCgYU804FPUxU7Z8CYQnvHep4DQLPW5LXRF8XOIwMCyFsAK2fQXD6U+YPO+fXI6o5xGv5BLqqsaicJ+qVDRIYxe5eNykWqgj3CL49ZWaruG40ZWBC2ayw8UhNqIkhPo/IjFZWLh2OHQvxOcAhpz3nv/Kva5qYcIcniAJ+bH1o5bM5tl9pIqQ5YlMdCj1l+sA0Y6rMaS/xifbCuXdWJzc9RlUWvwSzym3ymdy6Tn/cgVZFFY6TkcRvWxl0vE8417ieItmnx0OfT3NBMK8hC0IOQX1or9kYw7jJ0L/SmAWfe2R6xlswxCNP+zFd1y2MDJvPAzfh0rY6bSLCL8/JLXAMmKhT/hIWVyvmJXKR2XpK4LM8c9uETLn73Kw7NG9OvDXsUjXH3ap5fDYZIrtPUPFy3SbAKlZfDtvug+eG2zWDIbZp/yoDkDj6qBmIGZLApCw2rlBdvxc7SqU1WKCu5GmI0+FyZYQ2xGc3aODXtPmXvnDAqtSEObeFcy7yZc1WK2XuKwWIWAQadKnFOd81H6ur6+ksfM4k+SifDBNkb/K2uONQhUyKwM0Xhbt5QJvXmG4HUxn6LoUcc7CVLTF8tXWCLqjXNvZO84hQUcik14OWdxCk8CgzWGnenFs04lzf9rGZdeZ6kz4vVhgRu85fcMzrVjGBpyFcBiuGy6HVVBcRmhaGmA1yxqyktRPgC5VjQh2+KvZ0ui9gxq8iyWuXLPf1D4F3syDSPkJvHWghbIXiLxhoXgvAHteXLy7xbueUniunzLyARpGD1zKHvypBOQyy+FzjEnNz/RdS5/UIgXiG3MSFuwRdDVkmaJoymTqVb1oPaTqXx74m4/Pj4nGpjvlh9l0n+py8p7eaQPsb8cHo09V4pc5KHLFo405W7A3lOVgtaHHBpCycIIUvda7SnHKm//hM8iQpi1gyCA0bViO+moE1WvY2X5RBpVDOn+r64qpHR/n9nHJo+dyoDAW0uZMQKov5anxlhxjAHdgYXvZLwpUl4QqzSeef4zHCwJ5qB8Ph9UnmKFjH9MVoikaQhY9JXl7S6YG1kgvN9Oi1rgbftQjxe8kBQtVgqq7La3WENCRoktFRW+C1Ms9JcCHj11lKp0ysQ1Mj28VMrYNbuByuX6l/Ywst1AP/lXVCFIcojJy31LhAS58tDHyC5MpA5LwJCM0VvCauUrhVKJ8fghC1samQdWM4g3UcLcs7CVMfxihFvyk1VfhFNy2g4R2EkFZxz13nu3jtDPE9ZvK/hDKhcsutA09RlreBOtTJ83n683AFTHGMivAy86l3UYaplVu7gsdzKLeGwuavFjuInCAdIepXrQNkXCBTkziW0Aq0y9vi4W3tzio/B8p3ccWYWg9iznNIEL3zQNvqTynFeBHsAXbmXZGz6UW7yFVAW8rF7wRDBpe0Uu2X1Zzv1NWPnNnngsw9cZWT73gRLEWRt3beFe5cc3pyAkf7Zm332U99pKyjr7GInJdTJiJDmW8K5aD4B84Mldo3FAls0weP3gMJPc0/CXl1ob9YSiK4S1jwWaaWeM7O/81/cp1BrH6QvEYw12tOLQ2a+TA0B9eoljiGgJTGYDHb3RW6Lt8VphmgXM6a1Wvf5xsCT7sEUgVSIGPphNraK6bR+I1/njJxAgb35YIK8B6UMhsktRyzJQxel2ygbT1ru8gdJamf2wjEJW1lbr4n4o1Js4VmQeQFgYbiCksvOGtMph10P9o0F8e8TS7v1nTk8+jvXqseWz1TIfHW7oelQjRkmt5Y/+RyM2pcJX9hjZ9yuyw1iIaXrLJC/uqMtoZ0jv1sFH3VehUxZZMUZWIAD2/jeBZE+YubS/AtCurQWRdSyoXOfD80gLsqWVEGXOg0VL2XN3jeMuM8xx2E5tVDXlldqGqjQmdt0/A3AXQmraoOh9CiDdXjdUP167QPuUdNYSGvzIoxiQ/O6YirHFaP148ynuqbqltH1NxJDI1PlsV4piKqXAl+az6aV90XdWzQGt60Pk+M0C7PVjhsjqNMTJEUwpQXkynyI2fyypwMABkkFi/HZXDKOjde0Npus6nAanjmoOe8Nf2bS17WJBIahfwNG3hpJN5ckId0ST5boGNyJSE/5RWUaMNGKxnKCkK3Ia20FSGBswWBTDnDYnkVSEnwb67z+6OGwkjKQzE8eWCnfLyBfhztFXDKZOKV5AMtZGNIMvkJg9Gyhy9WMyqJ1xphd864wHGEmrcZ2i7mhsIWYFCwnl/qv/pUT26dW7tCEEi/TjC08U8howyUARn1iodIYLVkKLucZTYNwa9nmesXcWHje8qcgSqLj+EBa+P0rfN4ADJFyChFSoEHVASXvIdiQjyHFim5cSJiawNtOf55TCgwx9vCo5u8GfPMTJF9nE2gMe1lmcalGcp9iUma4nhKznepAJhUVUrA8YxwNFu8OXWEb8GQJQSVZuhFnBstW/1EYTRI0OPaGm5KzLGWRQWz/1Nc0ykRk5A3SAP8Z22bwnyfgCR3vViXzjeHOiVBsCZE5tIUlxyGkgpE+domTGaE60eELAuJUm46p5nCcSroC4BcwVXnsbI613gdSZcCME0IaZo5QhRqOxomGPYJiTTxgGuuvd23gr/BbVSuG2H5rgur7VAMWvlstnuxnoifF7Tpv8wnAhXPCzh48+cH5JqRAk2Ua7QsiwlbnnjMyP+kY3xE9c9jZXWuVeFMKB9TUNYYW7OMbz3gyW6BU0QZfpDBzam/dT30+KB5FLEFzPfKrIKA8nNdJtd8rF3N6RJC6GE3EXMFHtPahZBJqgPmTnHNho5HJi1FgFTtpuuo1aY+Ip25djGI0+RCvPqB83hPlTBfgEBgvpj74J0/WVazcfq5r6AvcN7kZtcVRc3oTC8yPbfEJ0OZVWhNtyt8Dm0MB2DHJReyI0MK9r1p1vbknGBKWn6lzz48wp+yJ2dcyukIvgAwfvFD+Suvm2Nn7gIypQuU28Z7GKMBtEt9MOCTrHghoyu4MwH2mmQM78nsboDrbvAcnhEoHXeRLXTzSCWjcQQinwlCXLuZCROInH7I+YHRRSQrsGixQGzTEVSsBbaDhop+mKRwPplzJkGeUMXmJKKRFTtqqu01LMCMuqswKPwRDZ03hjOjYkE5o9L9mAllpsXtKBcWpY9jHjknSmo8pSdZ9iHI9lR1yVjheqpOOVf14C+6ghlHThe758tRhc2Jez1CUwxFmNQl34gHtJZhSVNw2nhOzZ0Fj1AmH9YI+vwy25iIAGT2WMnpY1snRfLXUmQ1lxFIKbLmjwhYTIneecLsjDskhwNy3EpeLzS195oKpcnLS92FrL02vvi4T4Ji0bmJKsvlqEyCRD1Np/4tE9oYzPWFFzdX715B8Eo1TnskmcKnUME8KS/NY7EkbfbdVT2OCS8Vh5ioaTHTbfxplCpG6ypH2OuaIzNszgfetysM/lKt+8SF33FIENtqNWBBZlQTErJM0q/ltl8PJ1ZXr1z3rR/23a7BtVmYWb7itRZ2a3O7yTWD1HIhISTfgXfqZoZu75py6ZFHFOyRg/I8A58UcvrnvFDm3NOLgKA5CNRe6Fq/wJkrVXcN6fXFvQ4OIaUuW/Pallnk/KWA069sOWUgylPxTj0Z+uYV8mPTudSicFeCbuIR6mrK4IQEpYOgo9h8Lx5gdbtHCXJh1i/NkbrXJYq7M5yLLuHukX3Fszs3fnfNjOkcj/KFmOmqb7AzX6TyUp85vK1r9EyL4u5F2PDx00AduZ2CH5dJR1WCmLhAVNfNgftbZLpRgO+L6rEoFGkd3d61ArwT/w1Etg1vpWmRcxEciTO90h6Vw1x5NhJ/Q+ZQ0igH6XpSsTfqcDxMjxIEe4tfY0q5CbGrVadH9H59ez839sUUqXXtKLkOkyapjAsAc9xJm2UmNgTRJxtcMbIMmaP9vMXjnMVesB3yHF1FYfnS1oDmsDCfzVW1/tYcV3GIFaS4qdMTZ1cW14ra4ulJCvWpA1WbZddfU7Hip4AiKVz0x7L3PDMfC4LkhPh1QnrCremIBunvJRCbVm3ai1GYU/dmleJZb4bZOjSKiTavrxHKUMnyTH+1x1cizYVu7qQuDIPYRhbnPLby3Pbce8trSgOsj40UBVY8q8N6y8ROezLilPfrCpR1re13UX1tG3Kl3V5Do7F9uvokL8v00BRrR6FjZSrpD2zEdxtZoTHfapb1Ha3q8sFXfM38NA5zazZiqt+CJbLMw9Pt7SN77Jytbzt9hRYE/9qIAGV1k2tAudkGOFu5KNl1DFafRKkUHThXrHaQoueaOb9fgYjj1+vMuI+c7+FNntxIer6xWOD++9kKioWvWu4mlMMc0ag8tl6I4mZRSYJ9H8H1leQguKbS6oyxTy5TrfXk1pgCg6vjrPY1E09kvo1lnXS+3h1vy8HBR6NxOQ8yO9PP8eZHepcKkcsDJlvmGxFxVSbKi+dv+bvs3Dtq/iv35Vj52Tww94tlQl9Otlusw8RZodS+HF+VrBf+jUteL2RCTVcKhMzeUJfWVTPb3PvKERLvnMs0E3RtuMSuatGRKbC/jpYKa3il8vcH2GhUoNIbCQCEHh2RW9a9J//1KEjz3y5u36+zcxQXxuawkG3hDpFcHQdpZM5tEQXyj3PJdgQpWYVeI4LgI5xZBZB51/lvYNKZ3xLSRwZBQZKikjriUJIi5ZX7aiQbANB7AA1dekHrhcjGI5PGHKT/yf04O5ui6wUJ3IL2s2lPh6CC78H0Tadxkpl6z7GxgZlm3LfQ9yQ1w6XzzmJOLTyBHcAFMlsuSJRtQlNnvkRjhFT7qnyxuSqVy7wqaPDeLeLUED0L9oYFSwiHUeLh+xM88iw3lzJ90kwAW0SjLrFmizcASEEr6Pbeo+J4TfZ5BSNo0rSaXvn9A96JT6biGlFMSOhlgNp8mSmOJXGlOnIxOn0pZxwsd6YsJxXfmavkeHwhMnIs1yMsL3nAxdFIM+nKowwQAlZqnhfqYgE+W2hSHHuvQ3T5shbNFmUnxXVGpUKXtpT4XDsKhVenwt4ZgSoO+F0rX9uE3TGz945sXSrw5UEFGX/OmRsjyHaMzvd2gzQX7eRCVXBdCCZtJvWEuPB4n06H1qYKlkqNUCsSJTSuFvYyLejD3GY0FCBw8O29r/389qG3fvM21mxraXHe3EMZMiQ2+ckFijiO4qKRVt0+1K991RTTVbauflSRb2diUuMaeeGcUcFHlfuZiaLi0UeJg/tnTFOzAMosdJlUN8ecB3CmQ7/dyAqv78G5ItcMFngHIQeZ7DT+AHtu1F2UQq1TxVohe+C+ZUevyLx1AuZfcE1karhq0Go9241ks+dCsf3eZLSnNc3GLHpaiHXC8RO5G1C0gBmmkN/M0AKHx9JM8pf6eeZUj1cLrHh8z20L51oTmDPPxlcqN4+uKeXlDkgTQO4qDFYEoGckrPnynvJXUMl8WIwS6+hbUQl4jSTaOIIT2ETAr2stKHGw0fn5L45fNymJCwuB40Oyl6wlMEkcdpvLdRtcQfRX2dI0W2ioxPI8rpD5rdmkB5K9TsqM4ZfdZyJD7vrs9v1tQRy2O+eaTfhyE+QKdVgzVpxzh1L065g1xYMM2CiA9St3u4gUIytn9zeV6+qoArccl/4bn8Myh6kaFvIWIwAmZyaJMQ4x40R+Q1kF61hPqhg4z8NpbaE1BBUCW/w6vkxE65n/zqwy0+fU5WhK6oD165y7WimYM/TXEbvGNDjZxSnfSESib08kSPNWBwFhq6A/31SWV7uJZpQvU62afXPg/kIIgirUPzdAfInqbgpWKW++PFqI7I6OWIwhBS2MtUJ7MY1F4ro5Es/xEShklQAAWZblWz9UuVA4mk3wy7kr41h/aRr9oeTtA9a+pF0TmNOMuoKmBSOUwrCaCgjma5jAeakPEuaMOHbdXOTeCH6KIDKaWqbBjM2zvu4xj+4QtZ4ebh0JcpPK/QMbWwRMmXE5ufm3fhl38GXSlgcINu/oB3mW8PaGdEHRaD4AnleTgYOpaRirz6lgtlDfbHzenQnlMkdT4OD0CuOU1xa5wIp3QQmaeOBU0qbQwE4dR+GypRS5GxLX4GKxBwROL3TrjUrr5WvQNrCw1EfOA+46u3u2uHq3N4PZxJAW2KK+NgWCAblbZjWXjF6tJhEMLYWmqzWGu8zsxlSsMIriLr9NnjIfzmnPAzNd4u7ygI5SleWz9vXIQ6hNuFUWLoXavAeGXwELzbOFIrf8Vy5bNyUh/Sau+uM6Jy8NvYhF3zY1PptOF/DJUsp+wKw4d961Ju57sgGK0QWAvf1HR35W63F7LHAbvEzbRSxByCYHo0ij5O0ccHaZPYKF1EkqLF+U27aFkpszGrU9ht5uoyNJ/q+o7WDIvycq69jISOOyfTENFhx0yBDEKGdIHQxwO4ndzDejCfk+xV9PqMgpM224j4nY2IoWyuWLFTHOS3jCZ5K9xh0Wiyd4TXK0lazNv3mSm0NnUOJOcWj6C59YmIFcaKVZ8BWJTQXo1W9/i0nTZp1rSeIHNsFpcFpv26ZzatgMMz4iuxtEj0cTSQAo86WIclKpoDV/caVdmO6LK10zC2J1NZ/J5tf0bS8bZVr+mg96cEXoBAlSgcyXZ2uxn034SEztayIBOKrXd07JGwz3RqL743i/jnLQvg4rJ3jtuOXxjX34vI6gBYlrel3Q5Ob37NiM0HC+iRyng13ZGbMRLzlC52ut+FajeUKE+R94Kcpdf0EIGVt5ZiCKO7JM1zG/r0yraC2gQX+2GkW5xqp9Een0WghoIVbXWk8qKecQ8jKFNjJ92XMdCOQ4JY648OqaNiDgbgiMtnNvxrt+mA0YrNLlaaf4uJrBggIELSpScwHW3Fkfwq7U8AoH2GAhz3UEJTUQnOhUn9uquS3ynG24bfJzS4wVYBdHHpgoZ2HY+hyntVO+D8Z0GdNssey+Ox7LDXvNNaEesLUkt2/ZxSkslLli/7aFhW0xMs81snwYXwu+oWVHjt8m/BFWx/EtEJ6U2M1545/AmiM5ITyxGporq6EJemIkXsMTT9NwGi3+UPomBLH7mIY25uNyoXFwaK2cV2F1uKbmdYurzDLNA/M/ysc8BUusHZCzC4EJlHFcBT7NNG+w5Ky/cr+IOTRSW7iCIc2qNXc+ep4D410RG7sCf9rUanV9LttJ7adA7POOdUEvVGk5IrULYWdLnmnyKH7lj70pLOhlgK7k5z4ZE7JIPc0cnvKoE+/ILAuPGg1LqB6usG8U8u1ideter6pv6XXTH5aB+Th1hXKJ9Bx/ktrPmma7UNw+fe3IgpAWcjfn01XM8nNBq8Li+TpMa3HnlXfnzH2u2YipKZldz+wluJNad4WSlTl/BAEcYbyua+A7FW6PIrHMalnNrJeoi0vm+eWjKaZUCK+lkdElFqqCcrSnqdoQ5tRs1nexUKhzrXqJDVIf84CiEAaeCrHpE9uPuyWpMDsUvgOrxTcsUw2WZJSh1VrKllLgejkNzlUhfPmYOTe4wLgLOHfMQjjtPOjMgP6B1IhOWwoV1oa5n67yF6k1jHyFuA6utaNmB44C/N0ggTaaCt1OpznEinVzUeGbyPH8UsAMNQDHJWD+kTPBobreqsm9dvNYobYIUee/OHZSQjaO5BG6XEmezSoCH+sH2p7awkJ26vr5MK3GA2ZF5niKIEJrOC1Itr71wXQElWUwTDeWjgszFfvZQgJeAmW3Z5qApxlK6ODnWUbIlEKi3HbmHi5p/mSwm0W5U4xCuJ0OfGtilAb3zZRtYH5CfkT79MfcT8Rrejw1rtWVsoPhN+ptRMqYTQTKCBllFrfpJmdYmmWYpSmyLMMstTfKJG1pSsFJLs+YO16o087nRODhEqFJmwisxqHAhC3A70QRZmmG6XSGJFFBHIlK7P1mkxYAeA7O1XAE68q4Y+DY51uCc/tsMmqxHDc5nYAPFkpvZBkhzVJMJ1NMpjOkaRocGGUZDvaPcXx8hGlWaESRJCKQp9ms5EpHnV/j10PXeBuJU5/L9rJc4oBTPy1u+kuMtnfCIJlhdw84Pu7BCFJRr9dLMBj0MRwO0UsSkNKvetXzYDWcaUr+bhGTotIukTBUTdMzwNy3q3yjwLUaF72CRNZKOaufiDCbznB97wDXdw9wPJlGkrbA0WSK/aMZ+zaV7UkfucLm+ky+UISFg//l7d3aRrU7qRfmKfFahh6XFhiOmF3h8OYXmqvZVGE2PUZffL5PQWE47GNjfYytTYXRylA2FryUlohzILQ5Ir4E68D8ZhSuzyZvwOcE86y1bmVFTq+q6WyG/f1DvLy9h4Oj4+KDYBLyj4nN0tS+OCYwK/Oo+7C3uTxQsMra21angGOlcHh4BJW4wpYohfEoF7DV8QpWhgMXMZP4UEChNRh3daLQgkHtP7pR0nHI0ba6LO4TZVmG6SzF0fEEB8cTpBl3ZF0dGbSKAEzCsyg3/NWaR27HARC+peTqJ9NIJDydfCDvW9Rx7jFqTWK0oevkO0lqs5AL/ysDUgVM09ShDAB6hY82naVmoXq3w4pxc21mOKs1aijX6dRtB63NqDK/ygiSvmAnSkiEcFkcM8luJ+VmkPsQgSHGfAblTpzj73jX4o5H/GHpkuvevVZuOEV95deR7eQvbyeWHoD8o75ZEaVrrR+77xrcq+fYer4oYfZ8zgML2qlL5l+++NnN9mK1ec+UambETDNgNYXXn3vMHd/mI5DtyvFkkyPMDvcatQn12vx6zTK2poM8VuYPuyugbHViB9x3NFpaW4OKIQRgTmGzZkI/4GpACxhz1HPNTQ5DyheLZyODxzZv1GYE9dsRZXjhv/xbPPsf/yUonUXoqtdr8+t1y0QNbjaN1eG8g5krubmDHOuiQQtqZdceNBS2kOnQhBXS7lWR2sk2U54wyUoLdtMpw5U/+Y+YHe6WVYpe2X/xSVx59Pex8/SXsf3kl1uRMN3fweU//V1A5xLRVidHQPEfslupyPUPrXII5SP5K7T8ZZ23b07a/LerdOe6RqGC7W0S1zmVN9j53i/dg4/VIs+mx0iGo0D/Np0Q01Y7T/8pnv3dj+Pw6rdw53/3Y0U0V9cZURifuh2vffffAQD0AjRUQpbhhf/8b3D10d/HysYpbF78tnxYXk/lFGWTIySDlcCMuws7DxCMSFne6wcemGWyfVtpNc+S6jZOBFtrxA4s5l0fxSIwO1+1AJG9xh0Cfc3ectHXhHiJAe0+93U8+e8+gnRy5JFgo94wFyjLcPTyizj5wFsApTA72jMt6wGhtzLGytYZrGydRX+8UbOdncDpwXUg6ePkA2/B4bUXQEy7uT3FMaXHh3jydz6CvRe+Gbwe6tc5ZsJn+7N+DU/uki0M8LW5tM1/b1T7BM6KsrGSfask8PTX/hhbp8/jxNkLcaGIdJUe7eO53/8EDl56Cpf/5PO47Tt/SLqIAa3IouckwfnvfHtgNG1uuDfTRRr/YP0E7v6+v9awL44ow6Uv/wdsP/klTA/38Oq//PPoraxW0MYj13yWrl1+HnsvX8GdDzxYUO/7YUYJKF2uLZX2v5vb0blfLCPzaFbD5aX6aOfqJfyb//3v4Pb7Xoe/8nP/K3qDIYuCmFDwXrhVUAnueOt7QKDChIV9wTCdZbXK6mkhcqhq3VcMe5Mam3d/G9YvvDo3oSpgmIxTVfzkYb3h9Wx6jH/3W7+Gl57+Bt73S/8cG6fOsq74PLi5QZ2CX/IT8XyCrc03ypcQFKLHv/QH2Dx9Fod7O7j0zGO4cN8bgnPoxpuWSb2VMTbufHWElvluEMehXsxcF/JJswJUI5YUCBTWzl8sr69cuSECksQmaV946hs42t/BxsnT+OaXvoC/8La/VJhRf7e0fPYXRtTqUS9hIberPMecCZFO+r7xbX8Jb/z+H84vq8QLDMp7KKMlNmipFUJ6pD6OuBaqG2DUF7FyvGX92SArFG4RCHfe/wa89xd+M68j9iLphRC6yxLrqwks5LlRuVdKZ6f5LZFE9UCBVIbPuvoO+3zXm/QFxCf5xujUeU02D7f4rmkoBaUSMxzf3+Y4Fju2hUSj2n8MEqfK10BY/GwQuzio8s3K27RnfNNRLHbUOUZrDrW74yRsFdz5KzIFOlnv3mUR1qsBLOR2lXJKmO03e7dtACF3hFhNXiPPVkrFPHCjtFMb3G0WRXlNuU8NUpsRvMSutVJc+zEV0IJlc2s2J5ejmBpznH6CWVMKZrVok1sgKn5cAa0DfixbNSmh66rkaltxLmtXB6esU4cjdjtXDKWeJxWaLFPiBkeeZi/tJAxz3xsN7zgTrrnZoiwSY04jFrOrcJU69Li/TbBQ4Che0hRn9bUQnYvTuPb5UIvatyJ8wcXo4ZqgGX3zazamzfQ9Xp3bKYOqtwPZyK1kidaCsFO/OO01L3Dt0oSGSF22VQsAguvbmEanoWd6udvjmdEWsLBX0+cgfQPYqIfdojIRBfwVxPQb/IEFHNW5KV0MvvZTQJHjlv0pV2ztsweFXnLcG9+PBkT9WK7gxgcI5T04Wg4F0Z7vZs+qevC3Di3WkV+kLqtHWRvNFW5TN/9ltnUVrazr4wZk/p5A5Vz1XJsbHyBEegjIhDUOvl9XmUYgnRJqGo2WacJgNzcJ6oxrMdTFvBVXd5mESFGaHwe3y89By+K+8KIJ5Q9LOBEP/CCBrRiLxxbL1zrE+/aPwufzQBN/pSpvVy+qrF833rtS1lSWbYPP66rAsfaDXFpuwk7dQiAUO0aYPbE348iVVxaMB7CaFu0yUE2haTKmaV9NfNJ4gGBcYuPSiLQTc3fcfJvw2YpHE+0jfU43jWGBAUIx6ebJCBVUNMpbZwGqvaIyTREX8HibNtCmXT2/ql0fEYFmz3/w9IYnVAT4H1ArZkXZEi2k3ghuhmYD7ArIT+yB9NfcjXnwzKwBJY2WdmjLRiid20XCovFVC1X9HitcB3IDtxy3CCLAkuwgs6lV2wy9+3peWICwuWGzf2ukAKbVeFlsCFqhu5jKBnzjolYXX5VQhxZFHdFx81ju+FsAzwLwAM4pd+fMT0OZ3WsmWm2j0TQs4M2T7sQ6T8eHVL1yfTvpD7jH9hUFy44c4zt4q4S6bpntyQ/n67SrC3YOYgFX/d3KBJk0bgJz59m8nQHErvB3gzETyqNSSXN5dqkNtMNkNUvTAKRdT1UQzoPVwRWOQhUgdnRE3BQlT9pzYv5o1DtnBoDsquHCSEwgy6AqVG9HYR3g2qY8AJmPwiaeGdd+sXYBYSiKQlaGb4IoXp7EmnFl0f7FiBxaJHWF2QRPZ/g2P/zUE5nnTMt8gMUazyZiEdO3ftl8FNZtLfuPmd04TusvWwEL1uNWxxHGomwO07O4D6XxwIBtYeFPyuuw2ihv8vNuzVMZLh1xqPKbmsKN8CIXkRIJvObCZKKsG2Mv221efP+hoceRa6qS1VKY+4EX6+TbRzm8l5XwiFWH4lQEAN4rUq2PVN+MLmLi2apfCP4yfDGoqq/5UVKP7w80nkv+ls/gS2zgpkX0wy+A+9Jt0LweWyvN5gsGv7Gbl8rj8AuU7UMv5b3MB3W13q2g+aroBExS11TlT8L7lsRNobnCzLeOywBlSY/yuWC0GqPT97VEkJAXRQRt7gxTEJ/T8cI1zisIxM5nwGomt5r4aqKxQIVlqZqfG++zRaIdWMLczXYugfkROb6Br/FUddDVGuoIWh1jMa9B4XhuUFvpewWu+UrBRuB8Pm00ai1Ym+U3dzSqVwQ3ifqemzSn/j6qSEgtBHhxUAdfDVNVq04dmAdHpK2SV/w8WjDZDng+nTG/Jhrl89kc5tRsTKVKhSfux5kyI3DsdU7R3han2hauJF+RwMTMG3Cxg4Mlcq0YhoIHFZhqZqFarJO5N0/afWyAWTlkTSXxemQDBl2vNLCKXmwuOov2BG88tKFVmajRlCjfv9IWhti/dr03o3HO21VylfiRizK1pAoHaxHCXQZhIQz6fzXaxeovVjTrY6v2ikpwidfJulkoP88W7z2sCLzAtQEs5FE+73WYejUV/537osKPY8E05KF/P7CaGlniQ5lAuimc+paizBWQ2EIBlAvV/daIoDQPTRWetsh9ztDGSVtbWCkBbcKEuc1oVCCYD+1GNGwgCDe1PTVxxKtXK8dcfT6/ps2vhLVr/VtxTcXSXfTFy8ONv2ZxqsItY/On60V7nM+LnnvXh3wCivtoZKXNRjT6OEq4j6uKhmpoE/W1NGPO9Tqpliqc7g7BRkD2wLs3DfJexs7vY8tnSPwn3ZrDQt5ixEEpGywo6GOrLezbmAot5332EYYBMWEMT2Hzj5PVgyYCY2lxf5u0mbeOEhSzdFPwPrRic1ZgkE82z+OoMZj7Rrz3RIHxB0K0kecDOMKhfVIyp0GIl9ec3DquXeiikaEW/ZQ1idHTRJlonhEJQeMQsEyBjIAzP863EubTbnO+DJDcuJrEfYPi/RJEmSNEEgiENE2RZhmyNENGWd4my/IPu+q2WlU2vVei23CzwSe0ifIKKa0ymng9+9mV8nqhdjXGrBPrWUagLEWaZlAqK89lmo+iGCSetXET9O212wK2hVvp52TxBydmaYrZdIY0S0EZ42KhvwlAOpvh4OAIk8kUs1mKbJbCbp7nElIlGaIuf+mFeeywwBFCbZxlYm1EmdR2KtCeI5f9gtPC0AUiR6cjguifL3QCKYW038Px8QQHB4dIlEK/34PzxJVuqRSSXoJBf4Ber4ckUWYHjhZa+SCMG73G6IzDgnw25R4xfqRpioODQ+zt7uHo8AhZmsGd5RxvlmU4Pp5gf+8Ak8Nj0HRqBihrw2CQznPhg7Aa/sQQ+8s9HP+T3a7Y+O3zlvyv7UcvOBF7m16J/YV3Hd5VeC2klOe/UxAOe4RrmOJgdw9JLwmGYipRGI1GWN9cx9rqKlTSZ5RE3Jw5/eEFfQLSpUW/K1drtYP9A1y9fAW713cxnc2M9ZWvQk+zDNPpFOk0BWUZRxkcprzW1BrG6oc8kzrnEmdVH3XpbNIuTY+xNzvE8cEe+r2ezQAwJiko9HoJ1tfXoZTCcDhAr9CADhQmldsrg0jxEdaDOTWb9ad42MyfmMqyDJPJBAf7B7h+fQ+T6VSsce53U/41Pp0caghlgllWv/Z1bk4j7SUNpNsFxlOLzkDbaDulkGUp0tkUx5OkKNJZAXLMab/fh1IJNo/z77rGwNsaxjR3U5jfZyOXIJ2f0T8ggLJCa81m+XcyF76bY0nQlu55xtukLVsEaZqWVlVK5Z9G1wubbLmJRgu/LHT3Z0mbJ10bbvwUkxsTORqvuR8gmGN9ve2TsNyplyC0Uml5WVmov9B5WdsqHpThD9FeBpFxyduLwabsr1vWbopa5NlKIiVZWib9mlrPT4gwt45pjeGSghzqQ5c7Cc1AGadDClasbZXwl9EUG1801RIQSI4/RItgM3/CKroJtoVqW8xrTlHoOKf/kJsdgJgmC6Uc9MSVDVTii+GW1+oIdkgwQn0Y08TwxASuTJvFxhnrL3RN1jPHHF+kG9NdZL9bQ5j7gRebY2PBQp2BGxSxkQqGx7RJkMQKU8wnuUz78b5DOCUN0mTFhIkfy/MqnsXwlQlgWXt5GbB3FfS0Mr1hBZCf1YOFvTIrp8n1BWqRUqZF+MSXmSyPmBJtVhf4xJf5ezHfLFYeMtWy3ypaQ0JdVh7rK4Q6Yo2Mb+6Q0IynC9kWrkXMvIJeR6bkVS3QlDC/koQSP6jMBDVZ+SHTF6OzSsDKNHJsHHIsZX3qunUXU9Q080PlTnNw6M19toV9u8psNTaDUVDFt6qUlFGg3FczjWJkRNo2iezKhCQWYVZBzCSH6oTOq1yEugJYFiWHBJybydKxcj88NKnlsJC3GBlSiBPCH+svQRmLnurUDV2rqw1CfZZprpB/JgOAkEZsY75j/Vb5jLF6sYVlrvPL7qOWHnmR6LQOLOZt4QJU4MhFU7Jya3VQYc5iprBpn2XmKZTakNpD+lMh4ZR9VAUVIRrLhKlFigKI27B5YCHfQfC3e1cMkE9Sld8i2+nyKiZKk1ZWr0qopOCGBCRGsywL+auxyLsKyoKAmKYPui7sMuzetbJcWhM3W8PCHuXj+53ME1dl8x1bgWU5o1gKYh4IaSANVRNVt24ZI8rSE3X8V44nxrsK0+mYUXOfMQz+e8Prw0L2s2kw90jzhRFfqFXOep1cUlUAUFUew9Om77L2IRpCC62NlqrbP7cipk8Ej/O9bHHStSQu4Q6CHrwsdQcYJMTEDgGm898Ys6Q5q0ptVJXXharUTJOgpa5Dz+uWuRgxX6+OIESCSf1gi05hKdGVncbmfG2X1JWLH/5OTidM4AMrE6y6/lUbqCMUbSCYSmjgL5WlYKr6jQlXmXbjUmMkR1ZVppycyrafNhxbSDTKXzpigwOqXmhlKz92LKPAkJYLpSHKUhgxqHL2OU38eszXDOEKafcQ7rJ0UJtUUVSWFZxbjqZy/l/Jug1gAdGoMn/lgxGlCkOap7LJKFv9MV+nziTFBLoKZLuyoEaWcf+ML4AyepsEJmXtYmXkntj3txCztr52awoL0Gz69Qu5hnM0WwxNzLmXzK8TIcaEJpauiE1qXc1X1zeMadY2C6Oqr7rgtFPhQ8Xf32LNafjpqmaCt5A3T5quheolZIEGgciotIOKiKxs8qs0QEVZjzKMZlOQUjjqDZAlSXmfms66kfI80MS/C7WrMLH8CSu7G3sevbYAYeNvxtEPRyC4ChjUcX5NB5E0Qd1JreorIMSKCH/hpSfx8Ff+I+7bfhGkFL589m78H2/4Pnzj5AUXJ/cd5cLgtJbRGKGjFMpSLFIQpUYvybvph5UctGZOSeTZmi2gObeFw9kh0Pixr1h+KZaHiwleHbxSGEL4C3jTi4/j1z7/MWxODg0779q9iodeehI/9YN/A0+cuC1ukuXk1hG0CB2lENJssYVWueDCBc5zpLIS6T/1aV7QtnAY4mLW3UBVTi1H5B5zzcEZGGJunTRECfMH6Qx//U8/5wiaHstt+9v48a/+v1BVkWWMDin8/H9Mm8ci2VD9WN0WwF9b6z5H2t4dWMDnhPST725Z/lsCZaYkVLfJqi8TrDKHnwhr02Pct/1iNO5+3cvfQj9L3UUQo7Es0Am1iQkZbx8LPCTORvyCmSz5/jxbQR41hwV+3LZiRVUtuNjKj52H2gNx81XVR3GNVPnqda7FhChGV2wRSHPHBUbWC2n2mLmsreWsUIVecxZceC2kboHCpkEPUK44/RuZ7CrHPqY5yoQwlnYo8Xf2ByM8evqOSJIH+NK5ezBLej5dZfm2qkmPmf6y8dUxmU2sR36RVeM80i6SW6cpzPnAC6dHfq2FwtIfC9lDzIsxq45zzMtCuCM+4yzp4Z8/+DZcGW944c5Tm2fxL1/33fmblaoEXfdfRwVIOkMaK2aCqyxAmW/ojI6hZjt33LsJhbprCXN+u8oSJ8kFqHLh5VWrIqVA5BjTWLG2oXRADD+APzlzN37qB38Sf+3R38MDL7+ATCl88dw9+D9f99341vopl446EV9ZtF0VocZwxNpWnZtyjid+XV/iX4RpCwt5sUzsxclR0mIarG6KI7TSJb7Yqpd9RvB/4+QFfOi//dE8GAAwTXouzqbCIunj9NTRuk2izLJAy9Qp/lAgnFPCjJom/P5Qc1jAAy9ai+WvvcqKtw+pJHEXD+Uv/Mtm09z+qwQqEVa8mEiizDBMqQTg9YQ/Q5T59QKTR4XQQKm8bnFsfgMLgMCEjJUHj0OghUYKJ29L/EU6ZPkiI1kgf7MT6bsyyuWfY4qz4j14ZMcraM3nI8N0OsN0MsVsZQilFJIkgX4OwZlPpdBLeoB2V1tI20K+Ef/yC8/isS/+Po72r6M/Wse9b/xvcfLsbej1eiAQrl95Hs988T9g59pVIBlg/fbXYLi6hZ7qA8oy7GjnEvZeeAzp9BjJYIyNO16D4XgTidB8RzuXi3pHSPorFh/6ucAV9dLpMa4/81VM96+BFDA+fRdWT9+JXm8A1eu5wsDw+0OseZ0D164h00aE492Xsfvc1+w4Lrwaw7Ut9NTA4Us+jq9gur8NqATjM3dhfOp29FCMQ9ebHGHnmT/F7OA6oBRWTt6OtbN32/EWMDs+xLVvfRUvI8X2qZOYPfQ9uOeBb0MvSZAkCfZ3ruHR//zvcbB9FWowxF1v+G9w7q57sTIU0WpDmFPYcis+Wt/A+Yv34+hgH73BClbGa4X2yikajtexfvYuTNQIGSn0+iuQ30KCUuitrGJ88nbMpsdIegMkvYHbXTFx/ZUxRidvQzqdQCU99PpDpz+DMulhZfMMeitjEBEG4w14rxKoYwbrmG0puCEQ13rDMcYnL+TjTXroDVbMvUjOmiTpYbR1Dr2VVRAR+qN1d7zFr+r1MT5xG6ajdQBAf3UToc86Jf0+Vk/djkGS4eT581jdOGHwEREGKyOcv/gaHJzeQZL0sbZxwix4g+rGa7bwpKxunMDF1z+ELMuMrdfqWEFhtLaJU3e+GtnoNKaTSaHaGbOKiRqM1jEYredmgJtRYe76o3Wsj9aZGQ3jS3p9rJ650zVVSrlmWUKZvxTz+WS9kKkNaNH+yhj986+Kj7doo5IexqfvwNhxG5Sj/QAg6fVZvdyMhusNsHb2LpzY3MDtd17AqXPnsbIyRC9JoJTCcDTGXQ98u2NGk8LEAml0+FUwp2bTO9jy1dNjqhqA85I57Q8oUcei4v5N4g6mZMKU6rl1dD3R1tvGHHLSQwFKLO1QJVi8XpWfFxuv7I+Ptwyk9g6MQyFXCL1eH71+D0nS89okhVnlbVrZzwIW4rNZMqzKJh3tVEHdUJ1fq0oDlAlW7FooIo5NWFXKIXRcZ1wSuNCWtY+NvcxFYOVB+Yd8xzCAue6MLuxzQvmReW0WuYQFx9tED4dSA1WpgLJEZx08UmD4ZLalXUTSXj+yfkjTVtEaGlMjnPl1J3ml7LU2KQ8N89+uMn4+QQuczNx44xI+WPM+a0x4zPwtCurSHXIBmmg5OdY6i6aMv8H2MWLImFYl5G4JebYISZQLWivZkY2COj0ySWVmppavVNPJD12Xx1VtQmauaVRcRU8VTs+nhPubXzRF5KEoGXsNWIiwmQ8zkHLOa/Eu5pjL8zJBq8JdNalS69RhZJn5qwNlDnxZsNPGx42abPEbQtHiSgzm3xZOhao1AYF1LGvxv432KSuvqlNHSKomMLYoYtopJkghHGULQ9apsgiy/6h/yg9tkBf4LgwnON5fBObMs2ll6xLW6tGIslRCrI7UilWCK1MSoeNQmyoNUUdzlo0j1F9sbGXRchnETKjsXgd5YF9Q1DlAF2H9vguY+0vK7pl+Mr4gp64ZDVWWidQqYazqrEzNxsxWSID5pNVR3SG/MhbglJVLOiWtZX2HcPFLuUGKQvBzRC3cy4VtnnTeZqTyo6hyq5NumIuYGoKlJzaWKohFfRxPXQGvk8Jomk4JCV4T4XMWEcxcyU2SVqu5/d3EaDT/1YJWmdCtayrLErV1zFWozypzWxb5NvUTY+a2Dq46jn9dfzc45jCv5LdGAaFIzMU4eTGYM6kb+DiDGVcgAVh38cYELFRHllVpkTopjTpC1ST6LNOSZcFGEzxlEPL3vDrhE2fXLpgELN+M2tiZYH02G5nGqkdMF+AzRNctY2ooqTlPzorj08dlQUJZyiaEs+kiCl2rgytEmyl3EItzpt1Mkj7XhkaF3HjNVgbiY2lNIWZyyrRcLKlbJqCxcokj5MzX1ZaxoIL7iE3MaNP0TFm7Gu3jAYGCVmltvOuFbDFyawSeng5WFP5E2UqNXW/j98R8sSr/UNJcp/9YJCr7lseh622gtK0MR/lZOCjgaqRNgDCnZnO/e+CSU/J4BBeeOuX6GoeYma2bPJV4y4KNOkJb1q5sTIuMUG8AWM9HC2B7WOCr6f1rpcOPmcmmQhLDF2pfpinK8FdFsFLAyvzHkH8Zo6EJLCRtZIM9nVnIPbXFCPLcmye52eRazRE1TxtTnMllvlkIqrRDDG+dgKKOlqwKRqoEtarPOqa0ziLyxh+sXPytDgLayPbcbzHKO5YPKBfl8SYSAUNfw4cqa6/PywQlNjnz+kh1aGtab156oi5LjabMNVJCx7VRwovZz8YIs8UhP4cdz+tjhPJRMr3QVEtKPFVai0eXsrxJn6FUSR2IBS4hOkvxxIqpMKV81249lCFYXOpDAfxWR9DOGytbMYGhOlUTWlZeligN4W+SpyvzyepGrTEz2zQZ3Cig4P3z7kUSlyJz2QLm/ASkAIemyBbiEDOldqjKKzVdwWV5MKnFoknQGgLLcS/CJNf1FWUKpa52DKGnSLlo0MYwLWQ/myXE/cJLkFehiS2L/MoEL5abCtWJaRlZr64vV+bIS/NaNr46fZXVqxMpR4XWNGJFBJA9N9aKnAbLCBBCQYByrhIARRXhcpPcUkxo9LUqZkuzXJYHi0XFdfJsMYEu06ohqDOLVQEQUO1zOsVyPuw5f8fuvC+WWdwDL8qeUkgXS3+tjl9UV1fXccBD+a1YIFDHp4xdKxPuuvRKukP9l/m0ZZo42I/ogv2zFciv2BDmfj8b/xCqfr4wV73iE4KG7hZmAogzWfou8jekrbhGLDPnZbhiZZI2jmMeCC2YUB3db+UCZMd8nTGt4Vsn14o1hYVEo5woBevHzaV2Y/4PUC1M/DykteriqhsMcAhpojoavEyLxRZolaDXDRaEISJwX1xWdDqpxs1gIS8DBMLELWA9F11W+GFV9csmUZ/HfEJdr8qp522aRKJVdUOaV2rlJpF01Azrn4ALFCe+Qd0F7Powj+3Ns70IqIiaxLWqKC8mXCGoG302aT9vyqMKX13/ktcJuQXmOq+q/MtKAUXQV+dWVgwW91W+IkiwjqUy9aMpEBdJpMuAnxSqXxX+hwm316sClzZ+V51+20Is6JH9yHGZc0mTxptbKf5qMe4WzeMaLfA7CORLP/xVYqCt5qgrlKHIMFY/dp0LdtPIOWSWQ/2GNHYV/iZ0SRxGs/ELyjk3L+Mmdj0onM0Eb25h8+6JNvFV+G+jTgOTWBZJxnBU9dHU76oTYIS0bt2cmaStTVolbGZcuVFyXu373niTpjD3Q8rup2b4G6UrVqn0I5pMTug41EfoOBYMhPpsshBiAl4nqq3TV5Xzr/uKLcQKX40bI/7uFvezQtYnz1l0QwMEId1CoPhnA827PpiLkHA/wGlYI9JbRK6qLr5F9bVoXPP0ZQQuF6IkSawPxmTGZhXyd7fkU2gVyDyhz0K+N6o1GsFVv7kCUej1exgOhxiNVtDr98wbKW0IAeSDA7IsQ1q8LjVUy9bmNLByChX652GskbZV+DTOmBJTtk2034p2MfJkmX7DZ794ZalEq12tQb+P4XCAXr9XvJ1cX9fKwOoxe7/bao82a6i1sClQ4fDZlQB2pJAzv9/rYTwe48TJExgM+kjTDO4MFiqa8lfXT6YzzKaz/P28YMKrtHtDmKQZJjO7P1hr9IXqkEpTWiquc9QN1zZlSqGfAKN+gl6inKsEIEkUBv0+BoMBer0ekiQsmkmSYLw6xnh1jEG/h36ikEA6Rhosc5UiM7dNobHPphSw1jvC7aNrOJgNK1tkK8BBf4brK4TZdCXXdoUY2UWbjyQlwsExMJkRMsfnMhWRpSl2Dqa4uk+YFZ9L0ItOkf1NCZhlTFwVqwv95iXxHJFCUZZ3ptisO4LNjpRzVeO31wha49ndrpKnukwVgpQoaysy4QUrAOtD4NxmH8PhEEYQCtoTBQwHPawOFVSiI0Dh7Bfz2B/0sL46w9p4D72aoeKwN8Nmfx+Jar60G/tsPZXhrvElnBzuIqVqCrVpnExnzgudQ5ARcDRLkJIKf9OzqLNzlODaYY8pHRmUKBzNEkzSG/AduBoQsrx1IFGE1UFaOZHjAeH06gzDvv8hJyB/Gfqwl6GflDvwSZJgOOgjSVRtTZWAsNo/wjCZ1mvAoJGwaW2w2j/Gav8YQDVjjZFlEU1VoFoFGREy9vl5cvRJEcaQgvzI9A2BJgFZBbNy16T6JYpK6WArVoF1If0+GbwWB1VD8IdpX4FaFxr7bLKDqu6CiZB5QpooglDZMiLBZv5YPXwLBhU5hj+fdVDESqqgtrA9sXcH0peqfbQO/vzB07vn8KYa9RSF95J00MHC4eZ40B38uYRO2DpYGnTC1sHSoBO2DpYGnbB1sDTohK2DpUEnbB0sDTph62Bp0AlbB0uD/x83JlyCQOOHXAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Original and new image sizes\n",
    "old_width, old_height = 106, 1829\n",
    "new_width, new_height = w, h - 65\n",
    "\n",
    "# Calculate scaling factors\n",
    "scale_x = new_width / old_width\n",
    "scale_y = new_height / old_height\n",
    "\n",
    "# Extract the point (for example, the first point in the CSV file)\n",
    "x_old, y_old = df.iloc[0][[\"x\", \"y\"]]\n",
    "\n",
    "# Transform the coordinates\n",
    "x_new = int(x_old * scale_x)\n",
    "y_new = int(y_old * scale_y) + 65\n",
    "\n",
    "# Print original and transformed coordinates\n",
    "print(f\"Original coordinates: ({x_old}, {y_old})\")\n",
    "print(f\"Transformed coordinates: ({x_new}, {y_new})\")\n",
    "\n",
    "cv2.circle(template, (x_new, y_new), 20, (0, 0, 255), -1)  # red dot\n",
    "showImage(template, \"Template\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "def transform_coordinates():\n",
    "    # Read CSV file\n",
    "    df = pd.read_csv(CSV_POINTS_POSITIONS_FILE_PATH)\n",
    "\n",
    "    # List to store the transformed points\n",
    "    transformed_points = []\n",
    "\n",
    "    # Iterate through each row and transform the coordinates\n",
    "    for _, row in df.iterrows():\n",
    "        x_old, y_old = row[\"x\"], row[\"y\"]\n",
    "\n",
    "        # Transform coordinates\n",
    "        x_new = int(x_old * scale_x)\n",
    "        y_new = int(y_old * scale_y) + 65\n",
    "\n",
    "        # Append the transformed point to the list\n",
    "        transformed_points.append([row[\"frame\"], x_new, y_new])\n",
    "\n",
    "    # Create a new DataFrame with transformed coordinates\n",
    "    transformed_df = pd.DataFrame(transformed_points, columns=[\"frame\", \"x\", \"y\"])\n",
    "\n",
    "    # Save the transformed coordinates to a new CSV file\n",
    "    transformed_df.to_csv(CSV_POINTS_POSITIONS_DEFORMED_PATH, index=False)\n",
    "    print(\n",
    "        f\"Transformed coordinates have been saved to: {CSV_POINTS_POSITIONS_DEFORMED_PATH}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transformed coordinates have been saved to: /home/davic/projects/IACV_project/bowling-analysis/data/auxiliary_data/reconstructed_positions/Transformed_positions_deformed_5.csv\n"
     ]
    }
   ],
   "source": [
    "transform_coordinates()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When trasforming from lower to higher resolution I need to smooth the coordinates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_coordinates(raw_df, cleaned_df):\n",
    "    # Create a figure with two subplots side by side\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(6, 6))\n",
    "\n",
    "    # Plot the original (raw) data on the left subplot\n",
    "    axes[0].plot(raw_df[\"x\"], -raw_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5)\n",
    "    axes[0].set_title(\"Previous Ball Trajectory\")\n",
    "    axes[0].set_xlabel(\"X Coordinate\")\n",
    "    axes[0].set_ylabel(\"Y Coordinate\")\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Plot the cleaned data on the right subplot\n",
    "    axes[1].plot(\n",
    "        cleaned_df[\"x\"], -cleaned_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5\n",
    "    )\n",
    "    axes[1].set_title(\"Processed Ball Trajectory\")\n",
    "    axes[1].set_xlabel(\"X Coordinate\")\n",
    "    axes[1].set_ylabel(\"Y Coordinate\")\n",
    "    axes[1].legend()\n",
    "\n",
    "    # Adjust layout for better appearance\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Savitzky_Golay_filter(df, window_length=45, polyorder=2):\n",
    "    df = df.copy()\n",
    "    df[\"x\"] = savgol_filter(df[\"x\"], window_length=window_length, polyorder=polyorder)\n",
    "    df[\"y\"] = savgol_filter(df[\"y\"], window_length=window_length, polyorder=polyorder)\n",
    "    # Round the smoothed coordinates to integers\n",
    "    df[\"x\"] = df[\"x\"].round().astype(int)\n",
    "    df[\"y\"] = df[\"y\"].round().astype(int)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.read_csv(CSV_POINTS_POSITIONS_DEFORMED_PATH)\n",
    "df_smooted = Savitzky_Golay_filter(df)\n",
    "plot_coordinates(df, df_smooted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save the smoothed DataFrame to a new CSV file\n",
    "df_smooted.to_csv(CSV_POINTS_POSITIONS_DEFORMED_PATH, index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
