{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "125e15b5",
   "metadata": {},
   "source": [
    "# Post-processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "343ddde5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "import numpy as np\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "VIDEO_NUMBER = \"5\"\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "INPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"spin\"\n",
    "    / \"intermediate_data\"\n",
    "    / f\"Rotation_data_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "INPUT_ORIGINAL_CSV = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / f\"Adjusted_positions_new_{VIDEO_NUMBER}.csv\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "43f1fef7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_plots(df):\n",
    "    # Create subplots (1 row, 3 columns)\n",
    "    fig, axes = plt.subplots(1, 3, figsize=(18, 5), sharex=True)\n",
    "\n",
    "    # Plot x_axis\n",
    "    axes[0].scatter(df[\"frame\"], df[\"x_axis\"], color=\"r\")\n",
    "    axes[0].set_title(\"X Axis per Frame\")\n",
    "    axes[0].set_xlabel(\"Frame\")\n",
    "    axes[0].set_ylabel(\"x_axis\")\n",
    "    axes[0].set_ylim(-1.1, 1.1)\n",
    "    axes[0].grid(True)\n",
    "\n",
    "    # Plot y_axis\n",
    "    axes[1].scatter(df[\"frame\"], df[\"y_axis\"], color=\"g\")\n",
    "    axes[1].set_title(\"Y Axis per Frame\")\n",
    "    axes[1].set_xlabel(\"Frame\")\n",
    "    axes[1].set_ylabel(\"y_axis\")\n",
    "    axes[1].set_ylim(-1.1, 1.1)\n",
    "    axes[1].grid(True)\n",
    "\n",
    "    # Plot z_axis\n",
    "    axes[2].scatter(df[\"frame\"], df[\"z_axis\"], color=\"b\")\n",
    "    axes[2].set_title(\"Z Axis per Frame\")\n",
    "    axes[2].set_xlabel(\"Frame\")\n",
    "    axes[2].set_ylabel(\"z_axis\")\n",
    "    axes[2].set_ylim(-1.1, 1.1)\n",
    "    axes[2].grid(True)\n",
    "\n",
    "    # Adjust layout\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d930f8c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read the CSV data\n",
    "df = pd.read_csv(INPUT_CSV_PATH)\n",
    "\n",
    "show_plots(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e7731ee4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average z_axis value: -0.09444377744781536\n",
      "Transformed rows where z_axis > 0.\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZQ5zMIU7mJLIvZZmkX//+/XXMMcdoxYoVOvPMMyVJra2tWrFihebOndvpc//4xz9q586dOu+887r8O+vWrdOWLVvkcDg6rDNgwAANGDAgqjw7Ozut3sjpdjyJQpy6RozMIU7mpGycHA7pq6/M1euD9qdsnFJEJsaGvlTfS9XjCbYGVVZTph2tO2I+bpNN5TXlKhlb0idLEqZqnFIJMTLHbJx8dT55n/NGJec++fITeZ/z9mhfxVQ7rzqTnZ2tE0efqH2/ta+ampti7utnk03OHKdOHH1i0tsb5tjLoa9au+5rOfZyxOV84bzrXCbGhr5U30u340kU4tQ1YmQOcTKHOJlDnDqXyNhkJeyVE2DevHn63e9+p4ULF6qurk6XX365tm/frtmzZ0uSLrjgAt1www1Rz3vsscd05plnat99940o37Ztm6699lr93//9n+rr67VixQqVlJTo4IMP1vTp0/vkmAAAacLtlpxOY+++WGw2KT/fqAckCX0pSJK/wa91zes6fDykkBqbG+Vv8Pdhq9CXgq1B1dbXavG7i1VbX6tgazDZTeozwdagyqrLYia6wmXl1eXdjonVzit7ll2VxZWSds9EDAvfryiuSJmEnyS5R7nlzHFGtTfMJpvyc/LlHkVfC4lDXwoAAKQ6y8z0k6RzzjlHn332mW6++WZt2LBBRx55pKqrq9s2UW5oaFBWVmQe88MPP9SqVau0fPnyqNez2+165513tHDhQn3xxRcaOXKkpk2bpttvvz3miCkAADpkt0uVlcbSnTab1H7L3HAisKLCqAckCX0pSFJgayCu9WAtvjqfyqrLIhJUzhynKosruz27zYq6k5wrdBWafl0rnleeAo+qZlbFfD9UFFek3PshnKj0LvHKJltE4jZVE5VIP/SlAABAqrNU0k+S5s6d2+GyCbW1tVFlY8aMUSgUPYpTkgYNGqRly5bFs3kAgEzm8Rh7+5WVSevaXVB0Oo2Enye1Lp4hM9GXgmNox8uF9aQerMNX55N3SfSylk3NTfIu6dmyllaTqOScVc8rT4FHJWNK5G/wK7A1IMdQh9yj3CmbOLNaohLpib4UAABIZZZL+gEAkNI8HqmkRPL7pUDA2MPP7WaGH4CUEV4ir6u9vFgiL710taylTTaVV5erZEzy95xLpEQl56x8Xtmz7N2a1ZhsVktUAgAAAH2JpB9SXzDIxXMgFs6N1GW3S4WFyW4FAMTEEnmZKVHLWlpNopJznFd9y2qJSgAAAKCvZHVdBUgin09yuaSiIqm01Lh1uYxyIJNxbgAAeiG8RF5eTl5EuTPHmRFLPGYiK+45lwjh5Jy0OxkX1tvkHOcVAAAAgGRjph9Sl88neb3SnmvfNzUZ5VVV7I+FzMS5AQCIA5bIyyxW3XMuERK5LxznFVJJsDXIexEAACDDkPRDagoGpbKy6KSGZJTZbFJ5ubFvFssZIpNwbgAA4ogl8jKHlfecS4REJuc4r5AKfHW+mIntyuJKZp0CAACkMZb3RGry+6V1He85olBIamw06gGZhHMDAAD0QCKXtbSqcHJu1vhZKnQVZtSxp7pga1C19bVa/O5i1dbXKtgaTHaTLMVX55N3iTdqH8+m5iZ5l3jlq2NLAAAAgHRF0g+pKWByLxGz9YB0wbkBAAB6iD3nYAW+Op9clS4VLSxSqa9URQuL5Kp0kagyKdgaVFl1WcwZveGy8upyEqkAAABpiuU9kZocJvcSMVsPSBecG9GCQWNmYyBgHLfbzdKmANjHCOgAe84hlYVnqO2ZsArPUCM53TV/gz9qhl97IYXU2Nwof4OfZWgBAADSEEk/pCa3W3I6paam2HuX2WzG4+7M2HMEaMO5EcnnM/Y4bL/kqdMpVVZKHi4IAZmKfYyAzrHnHFJRVzPUbLKpvLpcJWNKSFJ3IrDV3IofZusBAADAWljeE6nJbjcu2ktGEqO98P2KCmbzIPNwbuzm80leb/Qeh01NRrmPJaCATMQ+RgBgTd2ZoYaOOYaaW/HDbD0AAABYC0k/pC6PR6qqkvIi9xyR02mUM4sHmYpzw1jSs6ws9mzHcFl5uVEPQMZgHyMAsC5mqMWHe5RbzhynbLLFfNwmm/Jz8uUelSErgwAAAGQYkn5IbR6PVF8vrVwpLVpk3K5dmxlJDaAzmX5u+P3RM/zaC4WkxkajHoCMwSwRALAuZqjFhz3LrspiY2WQPRN/4fsVxRUskQoAAJCm2NMPqc9ulwoLk90KIPVk8rkRMDnC22w9AGmBWSIAYF3hGWpNzU0xZ2zbZJMzx8kMNRM8BR5VzayKub9tRXEF+9sCAACkMZJ+AADrcZgc4W22HoC0wCwRALCu8Aw17xKvbLJFJP6YodZ9ngKPSsaUyN/gV2BrQI6hDrlHuYkfAABAmmN5TwCA9bjdxh6Gtth7lchmk/LzjXoAMgb7GAGAtYVnqOXlRO5d7cxxqmpmFTPUusmeZVehq1Czxs9SoauQhB8AAEAGYKYfAMB67HapslLyeo0EX6jdElDhRGBFhVEPQMZglggAWB8z1AAAAICeY6YfAMCaPB6pqkrKixwJLqfTKPcwEhzIRMwSAQDrY4YaAAAA0DPM9AMAWJfHI5WUSH6/FAgYe/i53czwAzIcs0QAAAAAAEAmIukHIDGCQWnVKuP3VaukE08kEYPEsNulwsJktyL1BYMkR5FRwrNEAAAAAAAAMgXLewKIP59PcrmkGTOM+zNmGPd9vmS2Cshc4XOyqEgqLTVuOScBAAAAAACAtELSD0B8+XyS1yutWxdZ3tRklJNkAPoW5yQAAAAAAACQEUj6AYifYFAqK5NCoejHwmXl5UY9AInHOQkAAAAAAABkDJJ+AOLH74+eTdReKCQ1Nhr1ACQe5yQAAAAAAACQMUj6AYifQCC+9QD0DuckAAAAAAAAkDH6JbsBANKIwxHfegB6h3MSAGARwdag/A1+BbYG5BjqkHuUW/Yse7KbBQAAAACWQtIPQM8Fg8aygIGAkTQ4/njJ6ZSammLvIWazGY+73X3fViATud2ckwCAlOer86msukzrmncvSe3McaqyuFKeAk8SWwYAAAAA1sLyngB6xueTXC6pqEgqLTVuDzpImjXLeNxmi6wfvl9RIdkZtQ30Cbtdqqw0fuecBACkIF+dT94l3oiEnyQ1NTfJu8QrX50vSS0DAAAAAOsh6Qeg+3w+yeuV1kVenFFTk3TffdI110h5eZGPOZ1SVZXkYbQ20Kc8HuPc45wEYBHB1qBq62u1+N3Fqq2vVbA1mOwmIUGCrUGVVZcppOjZ6OGy8upy3gMAAAAAYBLLewLonmBQKiuLvVRgKGTMHnrmGemTT6S//11qbpaWLpVOPJHZRECyeDxSSUnkcrxuN+ckgJTDMo+Zxd/gj5rh115IITU2N8rf4Fehq7DvGgYAAAAAFsVMPwDd4/dHz/BrLxSSGhulV1+VJk0yyiZNIrkAJJvdLhUWGkvwFhZyTgJIOSzzmHkCWwNxrQcAAAAAmY6kH4DuCZi86GK2HgAAyHgs85iZHEMdca0HAAAAAJmOpB+A7nGYvOhith4AAMh43VnmEenDPcotZ45TNtliPm6TTfk5+XKPcvdxywAAAADAmkj6Aeget1tyOo29+2Kx2aT8fKMeAACACSzzmJnsWXZVFldKUlTiL3y/orhC9iyWpEb8BFuDqq2v1eJ3F6u2vpYZxAAAAEgrJP0AdI/dLlUaF2eiEn/h+xUV7BcGAABMY5nHzOUp8KhqZpXycvIiyp05TlXNrJKnwJOkliEd+ep8clW6VLSwSKW+UhUtLJKr0sWeoQAAAEgb/ZLdAAAW5PFIVVVSWZm0rt1SXE6nkfDzcHEGAACYF17msam5Kea+fjbZ5MxxssxjmvIUeFQypkT+Br8CWwNyDHXIPcrNDD/Ela/OJ+8Sb9RnTFNzk7xLvCSZAQAAkBYsN9PvwQcflMvl0sCBAzVhwgStWbOmw7pPPvmkbDZbxM/AgQMj6oRCId18881yOBwaNGiQpkyZoo8++ijRhwFYn8cj1ddLK1dKixYZt2vXkvADgBRHXwqpiGUeYc+yq9BVqFnjZ6nQVci/NeIq2BpUWXVZzEEF4bLy6nKW+oQp9KUAAEAqs1TS79lnn9W8efN0yy236M0339QRRxyh6dOna9OmTR0+JycnR4FAoO3n008/jXj8F7/4hX71q19pwYIFeu211zRkyBBNnz5dX3/9daIPB7A+u10qLJRmzTJuWdITAFIafSmkMpZ5BJAo/ga/1jWv6/DxkEJqbG6Uv8Hfh62CFdGXAgAAqc5SSb/7779fc+bM0ezZszV27FgtWLBAgwcP1uOPP97hc2w2m3Jzc9t+RowY0fZYKBRSRUWFbrrpJpWUlOjwww/X73//e61fv17PP/98HxwRAABA36EvhVTnKfCovqxeKy9cqUWeRVp54UqtLVtLwg9ArwS2BuJaD5mLvhQAAEh1lkn67dq1S2+88YamTJnSVpaVlaUpU6Zo9erVHT5v27ZtOuCAA5Sfn6+SkhK9//77bY+tXbtWGzZsiHjNvfbaSxMmTOj0NQEAAKyGvhSsgmUeAcSbY6gjrvWQmehLAQAAK+iX7AaYtXnzZgWDwYgRUZI0YsQIffDBBzGfM2bMGD3++OM6/PDD9eWXX+q+++7T8ccfr/fff19Op1MbNmxoe409XzP8WCw7d+7Uzp072+43NzdLklpaWtTS0tKj40sl4WNIh2NJpJSLUzAorV4tbdgg5eZKEycmfbnNlItRiiJO5hAnc4iTOZkYH/pSfYfz0Bzi1DViZA5xMieT43Sc4zgdvNfBWr91fcx9/WyyKW9ono5zHJfRceqOTIwPfam+w3loDnHqGjEyhziZQ5zMIU7mJDI+lkn69cTEiRM1ceLEtvvHH3+8CgoK9Mgjj+j222/v8evedddduu2226LKly9frsGDB/f4dVNNTU1NsptgCSkXp8GDpeZmadmyZLekTcrFKEURJ3OIkznEqXM7duxIdhMsgb5U73AemkOcukaMzCFO5mRqnO4bfV+XdZZV7/4OlalxMou+lDn0pXqH89Ac4tQ1YmQOcTKHOJlDnDqXyL6UZZJ+++23n+x2uzZu3BhRvnHjRuXm5pp6jezsbB111FH6+OOPJanteRs3bpTDsXsZj40bN+rII4/s8HVuuOEGzZs3r+1+c3Oz8vPzNW3aNOXk5Jg9pJTV0tKimpoaTZ06VdnZ2cluTspKmTi9+KJ0/vlSaI8RqzabcfuHP0inn9737VIKxSjFESdziJM5xMmcLVu2JLsJfY6+VN/hPDSnr+MUbA1q9brV2rBtg3K/lauJzokpv3Qo7yVziJM5xEl68cMXdd3L16lpa1NbmXOoU3dPuVunjzG+MxEnc+hL7UZfKv44D80hTl0jRuYQJ3OIkznEyZxE9qUsk/Tr37+/jjnmGK1YsUJnnnmmJKm1tVUrVqzQ3LlzTb1GMBjUu+++q1NPPVWSNHr0aOXm5mrFihVtnanm5ma99tpruvzyyzt8nQEDBmjAgAFR5dnZ2Wn1Rk6340mUpMYpGJTKyqSORgbYbFJ5uVRSktSlPnkvmUOczCFO5hCnzmVibOhL9b10O55E6Ys4+ep8Kqsu07rmdW1lzhynKosr5SnwJPRvxwPvJXOIkzmZHCfPOI9KxpbI3+BXYGtAjqEOuUe5Yw4AyOQ4mZGJsaEv1ffS7XgShTh1jRiZQ5zMIU7mEKfOJTI2lkn6SdK8efN04YUX6thjj9V3v/tdVVRUaPv27Zo9e7Yk6YILLlBeXp7uuusuSdL8+fN13HHH6eCDD9YXX3yhe++9V59++ql++MMfSpJsNpvKy8v185//XIcccohGjx6tn/3sZxo5cmRbBw5IaX6/tG5dx4+HQlJjo1GvsLBnfyMYNJ4fCEgOh+R2J32vQABAz9CXQiby1fnkXeKN2serqblJ3iVeVc2sskTiD0iWYGvQVJLMKuxZdhW6CpPdDFgUfSkAAJDqLJX0O+ecc/TZZ5/p5ptv1oYNG3TkkUequrq6bcPjhoYGZWVltdX/73//qzlz5mjDhg3ae++9dcwxx+jVV1/V2LFj2+r85Cc/0fbt23XJJZfoiy++0KRJk1RdXa2BAwf2+fEB3RYIxLfennw+YyZh+8Si0ylVVkoeLo4BgNXQl0KmCbYGVVZdFpXwk6SQQrLJpvLqcpWMKbF0EgNIFKvPkgXijb4UAABIdZZK+knS3LlzO1w2oba2NuL+Aw88oAceeKDT17PZbJo/f77mz58fryYCfafdmv9xqdeezyd5vdF7BTY1GeVVVST+AMCC6Eshk/gb/BHJij2FFFJjc6P8DX5m/gB7YJYsEBt9KQAAkMqyuq4CIGW53cbMO5st9uM2m5Sfb9TrjvBegXsm/KTdZeXlRj0AAIAUFdhqbrUDs/WATNHVLFlJKq8uV7CV7wMAAABAKiHpB1iZ3W4stSlFJ/7C9ysqur8HX3f2CgQAAEhRjqHmVjswWw/IFN2ZJQsAAAAgdZD0A6zO4zGW2szLiyx3Onu+BGei9woEAADoA+5RbjlznLIp9qoINtmUn5Mv96hurooApDlmyQIAAADWRNIPSAcej1RfL61cKS1aZNyuXdvzPfcSuVcgAABAH7Fn2VVZbKyKsGfiL3y/orhC9qxurooApDlmyQIAAADWRNIPSBd2u1RYKM2aZdx2d0nP9hK1VyAAAEAf8xR4VDWzSnk5kasiOHOcqppZJU9BDwdJAWmMWbIAAACANfVLdgMApKDwXoFer5HgC4V2P9abvQIBAACSwFPgUcmYEvkb/ApsDcgx1CH3KDcz/IAOhGfJepd4ZZNNIe3+PsAsWQAAACB1MdMPQGyJ2CsQAAAgSexZdhW6CjVr/CwVugpJVgBdYJYsAAAAYD3M9APQMY9HKimR/H4pEDD28HO7meEHAAAAZABmyQIAAADWQtIPQOfCewUCAAAAkCQFW4MZkwgLz5IFAAAAkPpI+gEA0JFgkJmuAAAggq/Op7LqMq1rXtdW5sxxqrK4kiUvAQAAACQVe/oBABCLzye5XFJRkVRaaty6XEY5AKBTwdagautrtfjdxaqtr1WwNZjsJgFx4avzybvEG5Hwk6Sm5iZ5l3jlq6OfAAAAACB5mOkHAMCefD7J65VCocjypiajvKrK2PMSABCFWVBIV8HWoMqqyxRSKOqxkEKyyaby6nKVjClJ26U+AQAAAKQ2ZvoBVhEMSrW10uLFxm2QEfNAQgSDUllZdMJP2l1WXs45CAAxMAsK6czf4I96b7cXUkiNzY3yN/j7sFUAAAAAsBtJP8AKWGYQ6Dt+v7Su4wt6CoWkxkajHhKLwQ6ApXQ1C0qSyqvLWeoTlhXYGohrPQAAAACIN5J+QKoLLzO4ZxIivMwgiT8gvgImL9SZrYeeYbADYDnMgkK6cwx1xLUeAAAAAMQbST8glbHMIND3HCYv1Jmth+5jsANgScyCQrpzj3LLmeOUTbaYj9tkU35Ovtyj3H3cMgAAAAAwkPQDUhnLDAJ9z+2WnE7JFvuCnmw2KT/fqIf4Y7ADYFnMgkK6s2fZVVlcKUlRib/w/YriCtmz7H3eNgAAAACQSPoBqY1lBoG+Z7dLlcYFvajEX/h+RYVRD/HHYAfAspgFhUzgKfCoamaV8nLyIsqdOU5VzaySp8CTpJYBAAAAgNQv2Q0A0AmWGQSSw+ORqqqMGWftE1BOp5Hw83BBL2EY7ABYVngWlHeJVzbZFNLuGbvMgkI68RR4VDKmRP4GvwJbA3IMdcg9ys17GwAAAEDSkfQDUll4mcGmpthL3dlsxuMsMwjEn8cjlZQYM8oCASO57nYzwy/RGOwAWFp4FlRZdZnWNe8eNOHMcaqiuIJZUEgb9iy7Cl2FyW4GAAAAAEQg6QeksvAyg16vkeBrn/hjmUEg8ex2qbAw2a2IFAymdyKSwQ6A5TELCgAAAACA5GBPPyDVhZcZzIvcN0ROp1HOMoNA5vD5JJdLKiqSSkuNW5fLKE8X7KkIpIXwLKhZ42ep0FVIwg8AAAAAgD5A0g+wAo9Hqq+XVq6UFi0ybteuJeEHZBKfz5j1236PQcmYEef1plfij8EOAAAAAAAAQLexvCdgFam4zCCAvhEMSmVlsZe7DIWMGXDl5cYehOmCPRUBAAAAAACAbiHpBwBAqvP7o2f4tRcKSY2NRr0TTui7diUagx0AAAAAAAAA00j6AQCQ6gKB+NYDkBTB1qD8DX4FtgbkGOqQe5Sbve4AAAAAAEDckPQDACDVORzxrQegz/nqfCqrLtO65t2zdp05TlUWV8pTwD6VAAAAAACg97KS3QAAANAFt1tyOo29+2Kx2aT8fKMegJTjq/PJu8QbkfCTpKbmJnmXeOWr8yWpZQAAAAAAIJ2Q9ANgPcGgVFsrLV5s3AaDyW4RkFh2u1RZafy+Z+IvfL+iwqgHIKUEW4Mqqy5TSKGox8Jl5dXlCrbyfxkAAAAAAOgdkn4ArMXnk1wuqahIKi01bl0uoxxIZx6PVFUl5eVFljudRrmH5QGBVORv8EfN8GsvpJAamxvlb/D3YasAAAAAAEA6Yk8/ANbh80lerxTaY7ZEU5NRTuID6c7jkUpKJL9fCgSMPfzcbmb4ASkssDUQ13oAAAAAAAAdIekHwBqCQamsLDrhJxllNptUXm4kREiAIJ3Z7VJhYbJbAcAkx1BHXOsBAAAAAAB0hOU9AViD3y+t63h5NIVCUmOjUQ8AgBThHuWWM8cpm2wxH7fJpvycfLlHufu4ZQAAAAAAIN2Q9ANgDQGTy56ZrQcAQB+wZ9lVWVwpSVGJv/D9iuIK2bOYpQ4AAAAAAHqHpB8Aa3CYXPbMbD2knmBQqq2VFi82boPBZLcIAOLCU+BR1cwq5eXkRZQ7c5yqmlklTwH70QIAAAAAgN6zXNLvwQcflMvl0sCBAzVhwgStWbOmw7q/+93v5Ha7tffee2vvvffWlClToupfdNFFstlsET/FxcWJPgwA3eV2S06nsXdfLDablJ9v1IP1+HySyyUVFUmlpcaty2WUA4gr+lLJ4SnwqL6sXisvXKlFnkVaeeFKrS1bS8IPAACLoS8FAABSmaWSfs8++6zmzZunW265RW+++aaOOOIITZ8+XZs2bYpZv7a2VrNmzdLKlSu1evVq5efna9q0aWpqaoqoV1xcrEAg0PazePHivjgcAN1ht0uVxvJoUYm/8P2KCqMerMXnk7ze6D0bm5qMchJ/QNzQl0oue5Zdha5CzRo/S4WuQpb0BADAYuhLAQCAVGeppN/999+vOXPmaPbs2Ro7dqwWLFigwYMH6/HHH49Z/+mnn9YVV1yhI488UoceeqgeffRRtba2asWKFRH1BgwYoNzc3Lafvffeuy8OB0B3eTxSVZWUF7k8mpxOo9zDbAnLCQalsjIpFIp+LFxWXs5Sn0Cc0JcCAADoOfpSAAAg1Vkm6bdr1y698cYbmjJlSltZVlaWpkyZotWrV5t6jR07dqilpUX77LNPRHltba2GDx+uMWPG6PLLL9eWLVvi2nYAceTxSPX10sqV0qJFxu3atST8rMrvj57h114oJDU2GvUA9Ap9KQAAgJ6jLwUAAKygX7IbYNbmzZsVDAY1YsSIiPIRI0bogw8+MPUa1113nUaOHBnRQSsuLpbH49Ho0aP1ySef6MYbb9Qpp5yi1atXy97BMoE7d+7Uzp072+43NzdLklpaWtTS0tLdQ0s54WNIh2NJJOLUtYTG6IQTdv/e2mr8WFRGv5cCAWnQIFP1MjpO3UCczMnE+NCX6juch+YQp64RI3OIkznEyRziZE4mxoe+VN/hPDSHOHWNGJlDnMwhTuYQJ3MSGR/LJP166+6779Yzzzyj2tpaDRw4sK383HPPbft9/PjxOvzww3XQQQeptrZWkydPjvlad911l2677bao8uXLl2vw4MHxb3yS1NTUJLsJlkCcukaMzMnIOA0eLJndr+J/8cnIOPUAcercjh07kt0Ey6Ev1X2ch+YQp64RI3OIkznEyRzi1Dn6Ut1HX6r7OA/NIU5dI0bmECdziJM5xKlziexLWSbpt99++8lut2vjxo0R5Rs3blRubm6nz73vvvt099136+WXX9bhhx/ead0DDzxQ++23nz7++OMOO1c33HCD5s2b13a/ubm5bTPmnJwck0eUulpaWlRTU6OpU6cqOzs72c1JWcSpa8TInIyOUzAojR8vrV8fe18/m83Yw/Gdd9TS2pq5ceqGjH4/dUMmLplEX6rvcB6aQ5y6RozMIU7mECdziJM59KV2oy8Vf5yH5hCnrhEjc4iTOcTJHOJkTiL7UpZJ+vXv31/HHHOMVqxYoTPPPFOS2jY/njt3bofP+8UvfqE77rhDy5Yt07HHHtvl31m3bp22bNkih8PRYZ0BAwZowIABUeXZ2dlp9UZOt+NJFOLUNWJkTkbGKTtbuuceyes17rdP/Nlsxu3dd0sDB0r/m/aekXHqAeLUuUyMDX2pvpdux5MoxKlrxMgc4mQOcTKHOHUuE2NDX6rvpdvxJApx6lqmxygYlPx+Y4cVh0Nyu6VYqwdnepzMIk7mEKfOJTI2WQl75QSYN2+efve732nhwoWqq6vT5Zdfru3bt2v27NmSpAsuuEA33HBDW/177rlHP/vZz/T444/L5XJpw4YN2rBhg7Zt2yZJ2rZtm6699lr93//9n+rr67VixQqVlJTo4IMP1vTp05NyjACSKBiUamuN5SZra437SDyPR6qqMmb0ted0GuUeT3LaBaQh+lIAAAA9R18KgNX4fJLLJRUVSaWlxq3LZZQDSE+WmeknSeecc44+++wz3XzzzdqwYYOOPPJIVVdXt22i3NDQoKys3XnMhx9+WLt27ZI3PIPkf2655Rbdeuutstvteuedd7Rw4UJ98cUXGjlypKZNm6bbb7895ogpAGnM55PKyqR163aXOZ1SZSVJp77g8UglJeaGnqUDs8PsgDijLwUAANBz9KUAWInPZyystOduKk1NRjnjrIH0ZKmknyTNnTu3w2UTamtrI+7X19d3+lqDBg3SsmXL4tQyAJZFLyg12O1SYWGyW5F4JJiRZPSlAADoW8HWoPwNfgW2BuQY6pB7lFv2LAZ8WRV9KQBWEAwalx72vNQlGWU2m1Reboy/BpBeLLW8JwDEXVe9IMnoBbHUJ+IhnGBun/CTdieYWV8DAAAgrfjqfHJVulS0sEilvlIVLSySq9IlXx39PgBA4vj90Zce2guFpMZGox6A9ELSD0BmoxeEvkKCGQAAIKP46nzyLvFqXXPk942m5iZ5l3hJ/AEAEiYQiG89ANZB0g9AZotXLygYlGprpcWLjVsSN9gTCWYAAICMEWwNqqy6TCFFD/gKl5VXlyvYyvcGAED8ORzxrQfAOkj6Achs8egF+XySyyUVFUmlpcaty8VSjYjEMDsAAICM4W/wR83way+kkBqbG+VvYMAXACD+3G7J6TT27ovFZpPy8416ANILST8Ama23vSD2aINZDLMDAADIGIGt5gZyma0HAOieYFBatcr4fdWqzFuQyW6XKiuN3/e85BW+X1Fh1AOQXkj6AchsvekFxWOPtkzvhWYShtkBGSHYGtSqBuNzfVXDKpZtA4AM5RhqbiCX2XoAAPPCCzLNmGHcnzEjMxdk8nikqiopLy+y3Ok0yj2e5LQLQGKR9AOAnvaCertHG73QzMIwOyDt+ep8clW6NGOR8bk+Y9EMuSpd8tXxuQ4AmcY9yi1njlM2xR7wZZNN+Tn5co9iwBcAxBMLMkXyeKT6emnlSmnRIuN27VoSfkA6I+kHAFLPekG92aONXmhmYpgdkLZ8dT55l3ij9m9qam6Sd4mXxB8AZBh7ll2VxcaArz0Tf+H7FcUVsmcx4AsA4iUeCzKlI7tdKiyUZs0ybhlrDKQ3kn4AENbdXlBP92ijF5rZGGYHpJ1ga1Bl1WUKKfpzPVxWXl3OUp8AkGE8BR5VzaxSXk7kgC9njlNVM6vkKaD/BwDx1NsFmQAgHfRLdgMAwLLCe7Q1NcVO4NlsxuN77tHWnV5oYWFcm4wUEU4wA0gL/gZ/1Ay/9kIKqbG5Uf4GvwpdhX3XMABA0nkKPCoZUyJ/g1+BrQE5hjrkHuVmhh8AJEBvFmQCeioYNC7hBQLGuH+3m9mUSC6SfgDQU+E92rxeI8HXPvHX2R5t9EIBIK0Etpr7vDZbDwCQXuxZdgZ9AOgWkgg909MFmYCe8vmMxbzaj+13Oo3LhSzohGRheU8A6I2e7NFGLxQA0opjqLnPa7P1AAAAkLl8PsnlkoqKpNJS49blMsrRufCCTDZb7MdtNik/P3pBJqAnfD5jHsCei3k1NRnlmXjOBoPSqlXG76tWsXNRspD0A4De6u4ebfRCASCtuEe55cxxyqbYn+s22ZSfky/3KD7XEy3YGlRtfa0Wv7tYtfW17KMIAAAshSRC74QXZJKiL7l0tiAT0F3BoDHDL9ZuP+Gy8vLMSnqFByzMmGHcnzGDAQvJQtIPAOIhvEfbrFnGbWc9SHqhAJBW7Fl2VRYbn+t7Jv7C9yuKK9i/KcF8dT65Kl0qWlikUl+pihYWyVXpkq+Ob5kAACD1kUSIj54syAR0l98fnZxvLxSSGhuNepmAAQuphaQfACQDvVAASCueAo+qZlYpLyfyc92Z41TVzCp5CvhcTyRfnU/eJV6ta478ltnU3CTvEi+JPwAAkPJIIsRPeEGmpUuN+0uXdr4gE9BdAZPbtZutZ2UMWEg9JP0AIFnohQJAWvEUeFRfVq+lpcbn+tLSpVpbtpaEX4IFW4Mqqy5TSNHfMsNl5dXlLPUJAABSGkmE+LLbpUmTjN8nTWIxJcSXw+R27WbrWRkDFlIPST8ASCZ6oQCQVuxZdk0aZXyuTxo1iSU9+4C/wR81w6+9kEJqbG6Uv4FvmQAAIHWRRACsw+02Fuvac9eeMJtNys836qU7BiykHpJ+AJIjGJRqa6XFi41b5ngDAIAeCGw19+3RbD0AAIBkIIkAq8nkS3t2u1RpbOsedc6G71dUZMbYfgYspB6SfgD6ns8nuVxSUZFUWmrculzs6goAALrNMdTct0ez9QAAAJKBJAKshEt7xu48VVVSXuS27nI6jfJM2b2HAQuph6QfgL7l80leb/Riz01NRnkm9Q4AAECvuUe55cxxyqbY3zJtsik/J1/uUXzLBAAAqY0kAqyAS3u7eTxSfb20cqW0aJFxu3ZtZp2rDFhIPT1K+n311VfasWNH2/1PP/1UFRUVWr58edwaBiANBYNSWZmxg+uewmXl5Zm1HgCAjERfCogfe5ZdlcXGt8w9E3/h+xXFFeyvCAAALIEkAlIZl/ai2e1SYaE0a5Zxm4nJLQYspJYeJf1KSkr0+9//XpL0xRdfaMKECfrlL3+pkpISPfzww3FtIIA04vdHDwNqLxSSGhuNegCQxuhLAfHlKfCoamaV8nIiv2U6c5yqmlklTwHfMgEgnTQ2Nmpdu++Wa9asUXl5uX77298msVVA/JBEQKri0h46Eh6wsHSpcX/pUgYsJEuPkn5vvvmm3P9bhLWqqkojRozQp59+qt///vf61a9+FdcGAkgjgUB86wGARdGXAuLPU+BRfVm9Vl64Uos8i7TywpVaW7Y26Qm/YGtQtfW1WvzuYtXW1yrYmkHDngH0Gp8hsZWWlmrlypWSpA0bNmjq1Klas2aNfvrTn2r+/PlJbh0ApC8u7aEzdrs0aZLx+6RJ8RuwEAxKtbXS4sXGbSbNJO2Jfj150o4dOzR06FBJ0vLly+XxeJSVlaXjjjtOn376aVwbCCCNOBzxrQcAFkVfCkgMe5Zdha7CZDejja/Op7LqMq1r3j0c2pnjVGVxZdKTkQBSH58hHXvvvff03e9+V5K0ZMkSjRs3Tn//+9+1fPlyXXbZZbr55puT3EIASE9c2kNf8/mMJWXbzzB1Oo19BJlFGFuPZvodfPDBev7559XY2Khly5Zp2rRpkqRNmzYpJycnrg0EkEbcbuNTec9dXcNsNik/36gHAGmMvhSQ/nx1PnmXeCMu1ktSU3OTvEu88tX5ktQyAFbAZ0jnWlpaNGDAAEnSyy+/rDPOOEOSdOihhyrA9BIASBgu7aEv+XyS1xu9pGxTk1Huy+zuUId6lPS7+eabdc0118jlcmnChAmaOHGiJGOk+lFHHRXXBgJII3a7MQxDiu4dhO9XVLBYPYC0R18KSG/B1qDKqssUUijqsXBZeXU5y/QBiInPkK4ddthhWrBggfx+v2pqalRcXCxJWr9+vfbdd98ktw4A0heX9tBXgkFjhl8oujvUVlZezlKfsfQo6ef1etXQ0KDXX39d1dXVbeWTJ0/WAw88ELfGAUhDHo9UVSXl5UWWO51GOfOyAWQA+lJAevM3+KNm57QXUkiNzY3yN/j7sFUArILPkK7dc889euSRR1RYWKhZs2bpiCOOkCS98MILbct+AgASg0t76At+f/QMv/ZCIamx0aiHSD3a00+ScnNzlZubG1FGxwqAKR6PVFJifCoHAsZC3243w4AAZBT6UkD6Cmw1t7Sc2XoAMgufIV0rLCzU5s2b1dzcrL333rut/JJLLtHgwYOT2DIAyAxc2kOimV2tm1W9o5lO+nk8Hj355JPKycmRp4t0vY/FVAF0xW6XCguT3QoA6DP0pYDM4RjqiGs9AJmFzxBz7HZ7RMJPklwuV3IaAwAZiEt7SCSHyW6O2XqZxHTSb6+99pLtfwvz7rXXXglrEAAAQDqiLwVkDvcot5w5TjU1N8Xck8smm5w5TrlHuZPQOgCpjs+Q2I4++mitWLFCe++9t4466qi2flUsb775Zh+2DAAAxJvbbSwZ29QUe18/m8143J1Z3SFTTCf9nnjiiZi/AwAAoGv0pYDMYc+yq7K4Ut4lXtlki7hob5NxkbqiuEL2LNY/AhCNz5DYSkpKNGDAAEnSmWeemdzGAACAhLLbpcpKyes1EnztE3/hcT8VFSwpG0uP9vT74IMPdOihh8Z8bNmyZZo+fXqvGgUAAJDO6EsB6c9T4FHVzCqVVZdpXfPuHeidOU5VFFfIU9D5Mr8AMhufIdFuueWWmL8DAJDKgkH2Puwpj0eqqpLKyqR1u7tDcjqNhF8XO6dkrB4l/Y4++mjde++9uvLKK9vKdu7cqR//+Md69NFH9fXXX8etgQAAZBR6gxmBvhSQGTwFHpWMKZG/wa/A1oAcQx1yj3Jn3OwcAD3DZ0jHVq5cqaKiopiPPfLII7r00kv7uEUAAETz+WInrCorSViZ5fFIJSVcKuuOHiX9nnzySV1++eVaunSpnnjiCQUCAZWWlqq1tVV+vz/ebUS64wI3ABjoDWYM+lJA5rBn2VXoKkx2MwBYFJ8hsRUXF+uqq67SnXfeqezsbEnS5s2bNXv2bK1atYqkHwBL4hJpevH5jKUp99yPrqnJKK+q4lKPWXa7VFiY7FZYR1ZPnjRz5kz985//VEtLiw477DBNnDhRJ510kt5880195zvfiXcbkc58PsnlkoqKpNJS49blMsoBIJOEe4PtE37S7t4gn4tphb4UAABAz61cuVJ/+tOf9J3vfEf/+te/tHTpUo0bN07Nzc16++23k908AOg2LpGml2DQGNO9Z8JP2l1WXm7UA+KtR0m/sF27dikYDCoYDMrhcGjgwIHxaleHHnzwQblcLg0cOFATJkzQmjVrOq3/xz/+UYceeqgGDhyo8ePH66WXXop4PBQK6eabb5bD4dCgQYM0ZcoUffTRR4k8BIRxgRsADPQGMxZ9KQAAgO47/vjj9fbbb2vcuHE6+uijddZZZ+nqq69WbW2tDjjggIT+bfpSAOKNS6Tpx++P/vdsLxSSGhuNekC89Sjp98wzz2j8+PHaa6+99O9//1tLly7Vb3/7W7ndbv3nP/+JdxvbPPvss5o3b55uueUWvfnmmzriiCM0ffp0bdq0KWb9V199VbNmzdLFF1+st956S2eeeabOPPNMvffee211fvGLX+hXv/qVFixYoNdee01DhgzR9OnT2Usn0bjAnTqCQam2Vlq82Lgl5kDfozeYcehLAQC6K9gaVG19rRa/u1i19bUKttJvR2b797//rddff11Op1P9+vXThx9+qB07diT0b9KXAhBvqX6JlMuGPRMIxLce0B09SvpdfPHFuvPOO/XCCy9o//3319SpU/Xuu+8qLy9PRx55ZJybuNv999+vOXPmaPbs2Ro7dqwWLFigwYMH6/HHH49Zv7KyUsXFxbr22mtVUFCg22+/XUcffbR+85vfSDJGU1VUVOimm25SSUmJDj/8cP3+97/X+vXr9fzzzyfsOCAucKcK1g4AUgO9wYxDXwoA0B2+Op9clS4VLSxSqa9URQuL5Kp0yVdHvx2Z6e6779bEiRM1depUvffee1qzZo3eeustHX744Vq9enXC/i59KQDxlsqXSLls2HMOR3zrAd3Ro6Tfm2++qcsvvzyibO+999aSJUv04IMPxqVhe9q1a5feeOMNTZkypa0sKytLU6ZM6bBDt3r16oj6kjR9+vS2+mvXrtWGDRsi6uy1116aMGFCQjuJKS0YlFatMn5ftSpxwze4wJ18rB0ApA56gxmHvhQAwCxfnU/eJV6ta47stzc1N8m7xEviDxmpsrJSzz//vH79619r4MCBGjdunNasWSOPx6PCwsKE/E36UgASIVUvkXLZsHfcbsnplGy22I/bbFJ+vlEPiLd+PXnSmDFjOnzs/PPP73FjOrN582YFg0GNGDEionzEiBH64IMPYj5nw4YNMetv2LCh7fFwWUd1Ytm5c6d27tzZdr+5uVmS1NLSopaWFpNHlIJefFG67jq1fP659PjjavF6pX32ke65Rzr99Pj+rdxcadAgc/VSNKbhf2tL/psHg9J110kd7R1ls0nXXy+deqpkt/f4z1g6Rn2IOJmT1nE67jjp4IOl9etjr+lhs0l5eUa9Lo4/reMUR8mOD32pNO1L/Q/noTnEqWvEyJx0jlOwNajrll2ngVmx++022XT9sut16oGnyp7Veb89neMUT8TJnGTH591339V+++0XUZadna17771Xp512WkL+Jn2pvsN5aA5x6poVYpQKl0j3jFMfXTa0nO6+nyorpfDX+/aXesKJwIoKqbXV+EknVjjvUkEi49OjpJ8krVu3Ti+88IIaGhq0a9euiMfuv//+Xjcsld1111267bbbosqXL1+uwYMHJ6FFcWK3S/fd13a3pv3yFHtsNB0Xixd3Xae5OTF/O45qamqS3YSeafdv3aFly+Lypywboz5GnMxJ2zjF+ZxM2zjFSaL3ezGDvlQa9qX2wHloDnHqGjEyJ13jdN/orvsIy6rpI8QbcepcsvtSeyb82jvppJP6sCXJQV8K7RGnrqV6jFLlEmn7OPXhZUPLMft+stulRYs6r5Pil717JdXPu2RLZF+qR0m/FStW6IwzztCBBx6oDz74QOPGjVN9fb1CoZCOPvroeLdRktGhs9vt2rhxY0T5xo0blZubG/M5ubm5ndYP327cuFGOdkumbdy4sdP9dG644QbNmzev7X5zc7Py8/M1bdo05eTkdOu4UkIwKI0fb8zPltQyaJBqHn9cU3/wA2V/9dXuGSbvvBPf4Rsvvtj5cIc//CH+MwzjqKWlRTU1NZo6daqys7OT3ZzuqaqSLr6463qPPWbM2e8hS8eoDxEnczIiTv+bcR3+PJZkrAdx992mPw8zIk5xsGXLlqT+ffpSadaX2gPnoTnEqWvEyJx0jlPVv6p08Qtd99sfO+Mxecd23m9P5zjFE3EyJ9l9KUl6/fXXtWTJkpgDqHwJWHeOvlTf4Tw0hzh1zSoxSvYl0j3j1EeXDS2np++nYFBavVrasMGYsTlxYnrPkLTKeZdsiexL9Sjpd8MNN+iaa67RbbfdpqFDh+q5557T8OHD9f3vf1/FxcXxbqMkqX///jrmmGO0YsUKnXnmmZKk1tZWrVixQnPnzo35nIkTJ2rFihUqLy9vK6upqdHEiRMlSaNHj1Zubq5WrFjR1plqbm7Wa6+9FrXPTnsDBgzQgAEDosqzs7Ot+Ub++9+ljz+OKs7+6isj6SdJH30k/d//SfFcG9/jMW7LyiIXiM7PN+Y3hx9PcZb8d3c4pPC/bVf14nBsloxREhAnc9I6Th6PVFJi7NAdCBjnoNvdo95gWscpDpIdG/pSadaX6kC6HU+iEKeuESNz0jFOjr0c+qq16367Yy+H6WNPxzglAnHqXLJj88wzz+iCCy7Q9OnTtXz5ck2bNk3//ve/tXHjRp111lkJ+Zv0pfpeuh1PohCnrqV6jFLlEmk4Tn182dByuvt+ys6WiooS2KAUlernXbIlMjY9SvrV1dVp8f/mHffr109fffWVvvWtb2n+/PkqKSnptGPSG/PmzdOFF16oY489Vt/97ndVUVGh7du3a/bs2ZKkCy64QHl5ebrrrrskSWVlZTrppJP0y1/+UjNmzNAzzzyj119/Xb/97W8lSTabTeXl5fr5z3+uQw45RKNHj9bPfvYzjRw5sq0DlxGSuWNsHC9woxvCu8k2NXW8f5jTyW6yQDLY7fEdYIGURF8KAGCGe5RbzhynmpqbFFJ0v90mm5w5TrlH0W9HZrnzzjv1wAMP6Morr9TQoUNVWVmp0aNH69JLL42YMRdv9KUAJEoqXSLlsmG0YFBatcr4fdUq6cQTuXyN1NWjpN+QIUPalk5wOBz65JNPdNhhh0kyNjZOlHPOOUefffaZbr75Zm3YsEFHHnmkqqur2zY8bmhoUFZWVlv9448/XosWLdJNN92kG2+8UYcccoief/55jRs3rq3OT37yE23fvl2XXHKJvvjiC02aNEnV1dUa2NFOpenIbIc4UR1nLnD3Pbvd2E3W6zX+p+5oN1n+9wKAhKAvBQAww55lV2VxpbxLvLLJFpH4s8not1cUV8ieRb8dmeWTTz7RjBkzJBkz8LZv3y6bzaarr75aJ598csz97uKBvhSAREqVS6RcNozk8xmzMLdsMfZfnDFD2ndfI0YWWagOGaZHSb/jjjtOq1atUkFBgU499VT9+Mc/1rvvviufz6fjjjsu3m2MMHfu3A6XTaitrY0q+973vqfvfe97Hb6ezWbT/PnzNX/+/Hg10XoYvpGZPB5jb7891w5wOi21vCoAWBF9KQCAWZ4Cj6pmVqmsukzrmnf32505TlUUV8hTQL8dmWfvvffW1q1bJUl5eXl67733NH78eH3xxRfasWNHQv82fSkAmYDLhgafz0h+hkLSoEG7y5uajPKqqsyJBayjR0m/+++/X9u2bZMk3Xbbbdq2bZueffZZHXLIIbr//vvj2kD0gT2Hb7SXicM3MkkqrR0AABmEvhQAoDs8BR6VjCmRv8GvwNaAHEMdco9yM8MPGevEE09UTU2Nxo8fr+9973sqKyvTX//6V9XU1Gjy5MnJbh4ApIVMv2wYDBpJz1hzZEIh47J5ebkRo0yJCayhR0m/Aw88sO33IUOGaMGCBTHrLV68WGeccYaGDBnSs9ah77QfvrFly+7yTBu+kYlSZe0AAMgg9KUAAN1lz7Kr0FWY7GYAKeE3v/mNvv76a0nST3/6U2VnZ+vVV1/V2WefrZtuuinJrQOA9JHJlw39/shZjnsKhaTGRqNepsYIqalHST+zLr30Uk2YMCHiwhZSWHj4xiuvSM3N0tKl7EoKAEAS0ZcCAACIts8++7T9npWVpeuvvz5mvbvvvluXXXaZhg0b1kctAwCki0AgvvWAvpLVdZWeC8Wa+4rUZrdLkyYZv0+aFJnwCwal2lpjx9LaWuO+laXb8QDpLBiUVq0yfl+1ivMVGYO+FAAAQM/deeed+vzzz5PdDACABTkc8a0H9JWEJv2QRnw+yeWSioqk0lLj1uUyyq0o3Y4HSGfh83XGDOP+jBmcrwAAWEywNaja+lotfnexautrFWxlAA+AxGMAFQCgp9xuY+crmy324zablJ9v1ANSCUk/dM3nk7ze6EWMm5qMcqtdeE+34wHSGecrAACW56vzyVXpUtHCIpX6SlW0sEiuSpd8dfw/DgAAkImssACb3S5VVhq/75n4C9+vqGBnLKQekn7oXDAolZUZO5PuKVxWXp6an8yxpNvxAOmM8xUAAMvz1fnkXeLVuubIATxNzU3yLvGS+AMAAMgwVlqAzeORqqqkvLzIcqfTKPd4ktMuoDMk/dA5vz96hk17oZDU2GjUs4J0Ox4gnXG+AgBgacHWoMqqyxRS9ACecFl5dTlLfQIAAGQIKy7o5PFI9fXS0qXG/aVLpbVrSfghdfUo6bdy5coOH3vkkUfafj/ggAOUnZ3dkz+BVBEIxLdesqXb8QDpjPMVaezCCy/UK6+80mU9+lIArMzf4I+a4ddeSCE1NjfK38AAHqvqzV6N7PMIAEBmsfKCTna7NGmS8fukSam/pKcVlk9F4vQo6VdcXKxrr71WLS0tbWWbN2/W6aefruuvv76t7L333lN+fn7vW4nkcTjiWy/Zkn08fOIC5iX7fAUS6Msvv9SUKVN0yCGH6M4771RTU1PMevSlAPS1eCZiAlvNDcwxWw+ppTd7NbLPI3rr5JNP1m233RZV/t///lcnn3xy2323261Bgwb1ZdMAAB1gQae+YaXlU5EYPZ7p96c//Unf+c539K9//UtLly7VuHHj1NzcrLfffjvOTURSud3GIsV77lYaZrNJ+flGvWTobhItmcfDJy7QPan++QP0wvPPP6+mpiZdfvnlevbZZ+VyuXTKKaeoqqoqYlAVAPSleCdiHEPNDcwxWw+pozd7NbLPI+KhtrZWv/nNb3TmmWdq+/btbeW7du3S3/72t7b7L730khwMEgSAlMCCTolnxeVTEX89Svodf/zxevvttzVu3DgdffTROuuss3T11VertrZWBxxwQLzbiGSy26XKSuP3PS+8h+9XVCRnTnNPkmjJOh4+cYHuS+XPHyAO9t9/f82bN0///Oc/9dprr+nggw/W+eefr5EjR+rqq6/WRx99lOwmAsggiUjEuEe55cxxyqbYA3hssik/J1/uUQzgsZLe7NXIPo+Ip5dfflkbNmzQcccdp/r6+mQ3BwDQBRZ0SiwrL5+K+OpR0k+S/v3vf+v111+X0+lUv3799OGHH2rHjh3xbBtShccjVVVJeXmR5U6nUZ6MXUt7k0Tr6+PhExfouVT8/AHiLBAIqKamRjU1NbLb7Tr11FP17rvvauzYsXrggQeS3TwAGSBRiRh7ll2VxcYAnj0Tf+H7FcUVsmcxgMdKerNXI/s8Ip4cDof+9re/afz48frOd76j2traZDcJANAJFnRKLJZPRViPkn533323Jk6cqKlTp+q9997TmjVr9NZbb+nwww/X6tWr491GpAKPR6qvl1aulBYtMm7Xrk3OBfd4JNH68nj4xAV6J3y+Ll1q3F+6NHmfP0CctLS06LnnntNpp52mAw44QH/84x9VXl6u9evXa+HChXr55Ze1ZMkSzZ8/P9lNBZABEpmI8RR4VDWzSnk5kQN4nDlOVc2skqeA/8+tpjd7NbLPI+LF9r8rxgMGDNCiRYtUVlam4uJiPfTQQ0luGQCgIyzolFgsn4qwfj15UmVlpZ5//nmdcsopkqRx48ZpzZo1uvHGG1VYWKidO3fGtZFIEXa7VFiY7FZ0L4nWWXv76nj4xAV6z26XJk2SXnrJuKUHCItzOBxqbW3VrFmztGbNGh155JFRdYqKijRs2LA+bxuAzJPoRIynwKOSMSXyN/gV2BqQY6hD7lFuZvhZVG/2amSfR8RLaI9BwDfddJMKCgp04YUXJqlFAAAzwgs6lZVFXt51Oo2EH+O7e47lUxHWo6Tfu+++q/322y+iLDs7W/fee69OO+20uDQM6JDVkmh84qI3gkEjgR0IGO8Rt5uEF5AGHnjgAX3ve9/TwIEDO6wzbNgwrV27tg9bBSBT9UUixp5lV6GrsMfPR+oI79XY1NwUc0lYm2xy5jhj7tXYm+cC7a1du1b7779/RNnZZ5+tQw89VK+//nqSWgUAMMPjkUpKuNwVb+HlU5uaYi+QZ7MZj7N8avrr0fKeeyb82jvppJN63BjAFKsl0ViwGj3l80kul1RUJJWWGrcuV+d7VgKwhPPPP7/ThB8A9KVwImbPfffCbLIpPyefRAwk9W6vRvZ5RLwccMABbUt8tnfYYYcx2w8ALCC8ANusWcYtCb/eY/lUhPUo6QckldWSaHzioid8PsnrjV7KtqnJKCfxBwAA4oREDLqrN3s1ss8jAABAYoSXT82L7GbJ6TTKWT41M/RoeU8gqcJJNK/XSJq1n6+cqkk0FqxGdwSDxnsl1lz8UMh4n5eXG2shpNL7HAAAWFY4EVNWXaZ1zbv7q84cpyqKK5KaiAm2BtkPMAX1Zq9G9nncjfc3AACIJ5ZPBUk/WJMVk2h84sIsvz96hl97oZDU2GjUKyzss2YBAID0loqJGF+dL2YisrK4khlhKaA3ezWyzyPvbwAAkBjh5VORmUj6wbqsmETjExdmBALxrQcAAGBSKiVifHU+eZd4FVLk6gdNzU3yLvGyFCQsjfc3AAAAEoE9/WBt7PqKdORwxLceAACAxQRbgyqrLotKiEhqKyuvLlewNdjXTQN6jfc3AAAAEoWkHwCkGrfbWKo2vEflnmw2KT/fqAcAAJCG/A3+iCUP9xRSSI3NjfI3+PuwVUB88P4GAABAopD0A4BUY7dLlZXG73sm/sL3KyqY2QoAANJWYKu5ZczN1gNSCe9vAAAAJApJPwBIRR6PVFUl5eVFljudRrmH/T0AAED6cgw1t4y52XpAbwVbg6qtr9Xidxertr62V0tv8v4GAABAovRLdgMAAB3weKSSEsnvlwIBYw8/t5sZfgAQB8HWoPwNfgW2BuQY6pB7lFv2LD5fgVThHuWWM8eppuammPue2WSTM8cp9yi3WoOtSWghMomvzqey6rKIJTmdOU5VFlfKU9D9wXjdeX8DAAAA3cFMPwBIZXa7VFgozZpl3JLwA4Be89X55Kp0qWhhkUp9pSpaWCRXpUu+Ol+ymwbgf+xZdlUWG8ud2xS53Hn4fkVxBcl6JJyvzifvEm/UHnxNzU3yLvH26P8O3t8AAABIFJJ+AAAAyBiJuHgLIDE8BR5VzaxSXk7kcufOHKeqZlb1aIYV0B3B1qDKqstizsYLl5VXl/doqU/e3wAAAEgElvcEMkEwyBKRAICM19XFW5tsKq8uV8mYEmZXACnCU+BRyZgSluNFUvgb/FGDRNoLKaTG5kb5G/wqdBV2+/V5fwMAACDeSPoB6c7nk8rKpHXtvqw6nVJlpbFnHAAAGSLRF28BJIY9y845iaQIbA3EtV4svL8BAAAQTyzvCaQzn0/yeiMTfpLU1GSU+1jCDACQOfri4i0AIH04hjriWg8AAABINJJ+QLoKBo0ZfqHoJczaysrLjXoAAGQALt4CALrDPcotZ45TNtliPm6TTfk5+XKPcvdxywAAAIDYSPoB6crvj57h114oJDU2GvUAAMgAXLwFAHSHPcuuyuJKSYr6vyN8v6K4gj34AAAAkDJI+gHpKmByaTKz9QAAsDgu3gIAustT4FHVzCrl5eRFlDtznKqaWSVPAfukAwAAIHX0S3YDACSIw+TSZGbrAQCQBsIXb8uqy7SuefeMeGeOUxXFFVy8BQBE8RR4VDKmRP4GvwJbA3IMdcg9ys0gEQAAAKQcy8z0+/zzz/X9739fOTk5GjZsmC6++GJt27at0/o/+tGPNGbMGA0aNEijRo3SVVddpS+//DKins1mi/p55plnEn04QOK53ZLTKdliL2Emm03KzzfqAQDSHn2p3TwFHtWX1WvlhSu1yLNIKy9cqbVla0n4AQA6ZM+yq9BVqFnjZ6nQVUjCLwPRl0IqCQalVauM31etMu4DACBZaKbf97//fQUCAdXU1KilpUWzZ8/WJZdcokWLFsWsv379eq1fv1733Xefxo4dq08//VSXXXaZ1q9fr6qqqoi6TzzxhIqLi9vuDxs2LJGHAvQNu12qrJS8XiPBFwrtfiycCKyoMOoBANIefalI4Yu3AAAAZtCXQqrw+aSyMmnLFmnxYmnGDGnffY1LQB7GsAFAxrNE0q+urk7V1dX6xz/+oWOPPVaS9Otf/1qnnnqq7rvvPo0cOTLqOePGjdNzzz3Xdv+ggw7SHXfcofPOO0/ffPON+vXbfejDhg1Tbm5u4g8E6Gsej1RVZfQG1+1ewkxOp5HwozcIABmBvhQAAEDP0ZdCqvD5jLHdoZA0aNDu8qYmo7yqiks9AJDpLJH0W716tYYNG9bWsZKkKVOmKCsrS6+99prOOussU6/z5ZdfKicnJ6JjJUlXXnmlfvjDH+rAAw/UZZddptmzZ8vW0ZKIknbu3KmdO3e23W9ubpYktbS0qKWlpTuHlpLCx5AOx5JIlonT6adLp54qrV4tbdgg5eZKEycaM/wS3HbLxCjJiJM5xMkc4mROpsWHvlTf4jw0hzh1jRiZQ5zMIU7mECdzMi0+9KX6FudhbMGgdN110sCBxv1Bg1oibm026frrjUtALOpk4L1kDnEyhziZQ5zMSWR8LJH027Bhg4YPHx5R1q9fP+2zzz7asGGDqdfYvHmzbr/9dl1yySUR5fPnz9fJJ5+swYMHa/ny5briiiu0bds2XXXVVR2+1l133aXbbrstqnz58uUaPHiwqfZYQU1NTbKbYAmWitPgwVJzs7RsWZ/+WUvFKImIkznEyRzi1LkdO3Ykuwl9ir5UcnAemkOcukaMzCFO5hAnc4hT5+hL0ZfqC5yH0e67L7rs8ccj49THl3wsgfeSOcTJHOJkDnHqXCL7UklN+l1//fW65557Oq1TV1fX67/T3NysGTNmaOzYsbr11lsjHvvZz37W9vtRRx2l7du369577+20c3XDDTdo3rx5Ea+fn5+vadOmKScnp9ftTbaWlhbV1NRo6tSpys7OTnZzUhZx6hoxMoc4mUOczCFO5mzZsiXZTYgL+lKpifPQHOLUNWJkDnEyhziZQ5zMoS/VPfSluofzMLaqKunii3ffHzSoRY8/XqMf/GCqvvpqd5wee8xY6hO8l8wiTuZkSpyCwdgLxpmVKXHqrUT2pZKa9Pvxj3+siy66qNM6Bx54oHJzc7Vp06aI8m+++Uaff/55l2ueb926VcXFxRo6dKj+9Kc/dflGmzBhgm6//Xbt3LlTAwYMiFlnwIABMR/Lzs5Oqzdyuh1PosQ1TsGg5PdLgYDkcEhud1qsycB7yRziZA5xMoc4dS5dYkNfKrWl2/EkCnHqGjEyhziZQ5zMIU6dS5fY0JdKbel2PL3lcEhffRVd/tVX2RFJP4dDImyReC+ZQ5zMSec4+XxSWZm0bt3uMqdTqqzs/n6h6RyneEhkbJKa9Nt///21//77d1lv4sSJ+uKLL/TGG2/omGOOkST99a9/VWtrqyZMmNDh85qbmzV9+nQNGDBAL7zwggaGF73uxNtvv6299967w44VkDDx/FQFAGQE+lIAAAA9R18KVuJ2G5eJmpqkUCj6cZvNeNzt7vu2JUtvxs6n6bh7oMd8PmOW8J6fL01NRnlVFZeorSIr2Q0wo6CgQMXFxZozZ47WrFmjv//975o7d67OPfdcjRw5UpLU1NSkQw89VGvWrJFkdKymTZum7du367HHHlNzc7M2bNigDRs2KBgMSpJefPFFPfroo3rvvff08ccf6+GHH9add96pH/3oR0k7VmSo8Kdq+4SftPtT1edLTrsAAGmBvhQApL9ga1C19bVa/O5i1dbXKtgaTHaTgLRBXwqpwG43xoVLRoKvvfD9iorMSVz5fJLLJRUVSaWlxq3LZe4SWm+eC6SjYNCYixJrQEG4rLzcqIfUl9SZft3x9NNPa+7cuZo8ebKysrJ09tln61e/+lXb4y0tLfrwww/bNkB888039dprr0mSDj744IjXWrt2rVwul7Kzs/Xggw/q6quvVigU0sEHH6z7779fc+bM6bsDA7r6VLXZjE/VkpLM6bkBVsCwQFgMfSkASF++Op/Kqsu0rnn3IEJnjlOVxZXyFDAkG4gH+lLpy0pf7TweY7ZNWZnUfjsop9NI+GXKLJzezEhiNhMQze+PnovSXigkNTYa9QoL+6xZ6CHLJP322WcfLVq0qMPHXS6XQu0+rQsLCyPux1JcXKzi4uK4tRHoET5VAethOV5YEH0pAEhPvjqfvEu8CinyM7upuUneJV5Vzawi8QfEAX2p9GTFr3YejzEu/JVXpOZmaelS6cQTk5+o7KvkaXfGzvfmucmOJ9CXAoH41kNyWWJ5TyCt8akKWAvL8QIAgBQRbA2qrLosKuEnqa2svLqcpT4BIAYrf7Wz26VJk4zfJ01KfoKqL5fL7M7Y+Xg+F0hnDkd86yG5SPoBycanarRgUKqtlRYvNm5ZMBqpgkXOAQBACvE3+COW9NxTSCE1NjfK38DVSwBoj6928dPb5Gl3LwH1Zuw84+6B2NxuY5bznvuFhtlsUn6+US9RuBwcPyT9gGRLhU/VVMJuykhlDAsEAAAJFGwNqra+VovfXaza+touZ+gFtpq7Kmm2HgBkCr7axUdvk6c9uQTUm7HzjLsHYrPbjWWNpehL1OH7FRWJm1XM5eD4IukHJFuyP1VTiZXX1kBmYFggAABIEF+dT65Kl4oWFqnUV6qihUVyVbrkq+u4D+wYau6qpNl6AJAp+GoXH71Jnvb0ElBvxs4z7h7omMcjVVVJeXmR5U6nUZ6ofU65HBx/JP2AVJCsT9VUwtoasAKGBQIAgATw1fnkXeKNWqqzqblJ3iXeDhN/7lFuOXOcsin21UubbMrPyZd7FFcvAaC9TP1qF+/l83qaPO3NJaDejJ1n3H3fYalGa/J4pPp6aeVKadEi43bt2sRdmuZycGKQ9ANSRV9/qqYa1taAFTAsEAAAxFmwNaiy6jKFFH21I1xWXl0ec6lPe5ZdlcXG1cs9E3/h+xXFFbJncfUSANrLxK92iVg+r6fJ095eAurN2HnG3SceSzVam90uFRZKs2YZt4lMgnM5ODFI+gGppC8/VVMNa2vAChgWCAAA4szf4I+a4ddeSCE1NjfK3xD7aoenwKOqmVXKy4m8eunMcapqZpU8BVy9BIA9ZdpXu0Qtn9fT5Gk8LgH1Zux8po+7TySWakR3cDk4MfoluwEAIClz19aA9YSHBZaVRfZinU7jWyHfEgAAQDcEtpq7itFZPU+BRyVjSuRv8CuwNSDHUIfco9zM8AOATmTKV7uuls+z2Yzl80pKup/kDCdPvV7jddr/jc6Sp/G6BBQeO98TvXkuYkvkew3picvBiUHSD0BqCA8Pa2qK3Tuw2YzH02ltjXQUDBpz7gMB439ktzs9e3Iej9FLzYRjBQAACeUYau4qRlf17Fl2FboK49AiAMgcmfDVrjvL5/UkCdaT5CmXgNJTot9rSD98FiQGST8AqaGnw8OQOny+2L38ysr0GSLZHsMCAQBAHLhHueXMcaqpuSnmvn422eTMcco9iqsdAJAI6f7Vri+Wz+tu8pRLQOmJpRrRXXwWJAZ7+gFIHeymbF0s2g4AANAj9iy7KouNjaVsitwUKXy/oriCpToBAD3SV8vnhZOns2YZt11dpOcSUPphqUb0BJ8F8cdMPwCpJRPW1kg3LNoOAADQK54Cj6pmVqmsukzrmncPonLmOFVRXCFPAVc7AAA9k8rL53EJKL2k8nsNqY3Pgvgi6Qcg9aT72hrphkXbAQAAes1T4FHJmBL5G/wKbA3IMdQh9yg3M/wAIMmsvnV9qi+fxyWg9JHq7zWkNj4L4oflPQEAvcOi7QAAAHFhz7Kr0FWoWeNnqdBVSMIPAJLM55NcLqmoSCotNW5dLuvtYMHyeegrvNeA5GOmHwCYYfWhfYnEou0AAAAAgDQT3rp+z2UKw1vXWy2BwfJ56Cu814DkIukHAF3x+Yw969ovYel0GmsWWKmHnygs2g4AANJMsDXIMpsAkMHSdet6ls9DX+G9BiQPy3sCQGfCQ/v23LMuPLTPamt6JEJ40XZp9yLtYSzaDgAALMZX55Or0qWihUUq9ZWqaGGRXJUu+ero9wFApujO1vUAAKQSkn4A0JGuhvZJxtC+YLBPm5WSWLQdAACkAV+dT94lXq1rjrzS29TcJO8SL4k/AMgQbF0PALAqkn4A0JFMHdoXDEq1tdLixcat2aSmxyPV10srV0qLFhm3a9eS8AMAAJYQbA2qrLpMIUUP+AqXlVeXK9jKgC8ASHdsXQ8AsCr29AOAjmTi0L7e7l/Iou0AAMCi/A3+qBl+7YUUUmNzo/wNfhW6CvuuYQCAPsfW9QAAq2KmHwB0JNOG9rF/IQAAyGCBreYGcpmtBwCwLrauBwBYFUk/AOhIeGjfnj38MJtNys9Pj6F97F8IAAAynGOouYFcZusBAKyNresBAFZE0g8AOpJJQ/sydf9CAACA/3GPcsuZ45RNsQd82WRTfk6+3KPSYMAXAPRST7eCtxq2rgcAWA1JPwDoTKYM7cvE/QsBAADasWfZVVlsDPjaM/EXvl9RXCF7VhoM+AKAXvD5JJdLKiqSSkuNW5crfXeECG9dP2uWcZsO434BAOmLpB8AdCUThvZl2v6FAAAAMXgKPKqaWaW8nMgBX84cp6pmVslTkEb9PwDoAbaCBwAgtfVLdgOQAMGgsQRfIGBcoHe7M3cYErFAvISH9qWr8P6FTU2x9/Wz2YzH02H/QgAAgE54CjwqGVMif4Nfga0BOYY65B7lZoYfgIzX1VbwNpuxFXxJCZdeAABIFpJ+6cbnM3pg7YdcOZ3GvmTpNCvJDGIBmBfev9DrNb6ptf8Wl277FwIAAHTBnmVXoasw2c0AgJTSna3g03nMLAAAqYzlPdMJayzsRiyA7suU/QvTWTAorVpl/L5qlXEfAAAAAOKAreABIL6CQam2Vlq82LjlMg7igaRfuuhqjQXJWGMhEz45iAXQc5mwf2G68vkkl0uaMcO4P2OGcZ9BDgAAAADigK3gAVhZqiXYwpdxioqk0lLjlss4iAeSfumiO2sspDtiAfROeP/CWbOMW5b0TH3MbgYAAACQYOGt4MM7QOzJZpPy89kKHkDqSbUEG5dxkEgk/dIFayzsRiwAZBJmNwMAAADoA+Gt4KXoxB9bwQNIVamWYOMyDhKNpF+6YI2F3YgFgEzC7GYACRRsDaq2vlaL312s2vpaBVv55gkAQCZjK3gAVpKKCTYu4yDR+iW7AYiT8BoLTU2xP8VsNuPxTFhjgVgAyCTMbgaQIL46n8qqy7Suefc3UmeOU5XFlfIUcEUPAIBM5fFIJSXGBelAwBhT7Xabm+EXDPbseQDQE91JsBUW9k2buIyDRGOmX7pgjYXdiAWATMLsZgAJ4KvzybvEG5Hwk6Sm5iZ5l3jlq2OTCQAAMllPtoJPtT21AKS/VEywcRkHiUbSL52wxsJuxAJInGBQqq2VFi82bllkPLnCs5v3HOQQZrNJ+fnMbgZgWrA1qLLqMoUUvWJCuKy8upylPgEAgGmptqcWgMyQigk2LuMg0SyT9Pv888/1/e9/Xzk5ORo2bJguvvhibdu2rdPnFBYWymazRfxcdtllEXUaGho0Y8YMDR48WMOHD9e1116rb775JpGHklgej1RfL61cKS1aZNyuXZuZSS5iAcQfQzNTD7ObYRJ9KZjlb/BHzfBrL6SQGpsb5W9gkwkAQOagL9VzqbinFoDMkIoJNi7jINEss6ff97//fQUCAdXU1KilpUWzZ8/WJZdcokWLFnX6vDlz5mj+/Plt9wcPHtz2ezAY1IwZM5Sbm6tXX31VgUBAF1xwgbKzs3XnnXcm7FgSLrzGAogFEE/hoZl7flMLD81kFm3yhGc3l5VJW7bsLnc6jZ4i/y4QfSmYF9hqbm0bs/UAAEgH9KV6LhX31AKQGcIJNq/XSKi1v6SVzARb+8s47T8fuYyDeLDETL+6ujpVV1fr0Ucf1YQJEzRp0iT9+te/1jPPPKP169d3+tzBgwcrNze37ScnJ6ftseXLl+tf//qXnnrqKR155JE65ZRTdPvtt+vBBx/Url27En1YAGAdDM1MfeHZzUuXGveXLmV2M9rQl+qeYGtQtfW1WvzuYtXW12bcMpaOoebWtjFbDwAAq6Mv1TupuKcWgMyRqrtAsUgdEsUSM/1Wr16tYcOG6dhjj20rmzJlirKysvTaa6/prLPO6vC5Tz/9tJ566inl5ubq9NNP189+9rO2UVWrV6/W+PHjNWLEiLb606dP1+WXX673339fRx11VMzX3Llzp3bu3Nl2v7m5WZLU0tKilpaWXh1rKggfQzocSyIRp64RI3MsEadVq4wZZIMGdVxn82bplVekSZMS0gRLxCkFtEyYINXUGLetrcYPomTa+4i+lHkvfviirnv5OjVtbWoryxuap3um3KPTx5xu6jWs/nl1nOM4HbzXwVq/dX3Mff1ssilvaJ6OcxzXq2O0epz6AjEyhziZQ5zMIU7mZFp86Ev1Tm5u518l29draeE8NIs4dY0YmZMJcTr9dOnUU6XVq6UNG4zPm4kTjRl+Zg87UXE64YTdv6fDZZxMeD/FQyLjY4mk34YNGzR8+PCIsn79+mmfffbRhg0bOnxeaWmpDjjgAI0cOVLvvPOOrrvuOn344Yfy/W/vqQ0bNkR0rCS13e/sde+66y7ddtttUeXLly+PWKbB6mpqapLdBEsgTl0jRuakfJwWL+66TnOz9NJLCW1GyscpRRCnzu3YsSPZTehT9KXMs8uu+0bfF/3AJ9JLn3Tv883K52HMGOxhWfWyuPwtK8eprxAjc4iTOcTJHOLUOfpS9KW6qydfJzkPzSFOXSNG5mRKnAYPNj5vlvXw60ymxKm3iFPnEtmXSmrS7/rrr9c999zTaZ26uroev/4ll1zS9vv48ePlcDg0efJkffLJJzrooIN6/Lo33HCD5s2b13a/ublZ+fn5mjZtWsQyDVbV0tKimpoaTZ06VdnZ2cluTsoiTl0jRuZYIk6rVkkzZnRdb+nShM70S/k4pQDiZM6W9nsfWhh9qfgJtgY1/uHxETP82gvPbnvn8ndkz+p8w4d0OQ9jzXp0DnXq7il3S1JcZkSmQ5wSiRiZQ5zMIU7mECdz6EuZY9W+1IsvStddZ2zfHpaXJ91zjzFbpqevef75xu+x9tT6wx92vzbnoTnEqWvEqGvBoPTqqy3aurVGQ4dO1fHHZ/f5/nZWwfvJHOJkTiL7UklN+v34xz/WRRdd1GmdAw88ULm5udq0aVNE+TfffKPPP/9cubm5pv/ehAkTJEkff/yxDjroIOXm5mrNmjURdTZu3ChJnb7ugAEDNGDAgKjy7OzstHojp9vxJApx6hoxMiel43TiidK++xrf+mLt62ezGYuhn3hiwnc/Tuk4pRDi1Ll0iQ19qfj5e/3f9fGXH3da56MvP9L/Bf5Pha5CU69p9fPQM86jkrEl8jf4FdgakGOoQ+5Rbv35wz/Lu8QbtfTnJ19+Iu9zXlXNrJKnwPxGFFaPU18gRuYQJ3OIkznEqXPpEhv6UtF8Psnrjf7a98knRnlP978KP6esTFq3bnd5fr5UURH7NTkPzSFOXSNGsfl8xjm5ZYsxG/e007K1777ZqqxkX7nO8H4yhzh1LpGxSWrSb//999f+++/fZb2JEyfqiy++0BtvvKFjjjlGkvTXv/5Vra2tbR0mM95++21JksPhaHvdO+64Q5s2bWpbpqGmpkY5OTkaO3ZsN48GANKY3S5VVhrf8my22EMzKyoSnvADEIm+VPwEtgbiWi9d2LPsEUnOYGtQZdVlMff6Cykkm2wqry5XyZiSLmdEAgCQbPSlIgWDRgIg1jjPUMj46ldeLpWU9Oyrn8djPNfvlwIByeGQ3G6+RgLJ0D7B337Pzaam3iX4ASRfVrIbYEZBQYGKi4s1Z84crVmzRn//+981d+5cnXvuuRo5cqQkqampSYceemjbCKlPPvlEt99+u9544w3V19frhRde0AUXXKATTzxRhx9+uCRp2rRpGjt2rM4//3z985//1LJly3TTTTfpyiuvjDliCgAymsdj9Pry8iLLnU56g0CKoy/VNcdQR1zrpSt/g1/rmtd1+HhIITU2N8rf4O/DVgEAkFiZ0pfy+yNn4e0pFJIaG416PWW3S4WF0qxZxi0JP6DvdZXgl4wEfzDYp80CECdJnenXHU8//bTmzp2ryZMnKysrS2effbZ+9atftT3e0tKiDz/8sG0DxP79++vll19WRUWFtm/frvz8fJ199tm66aab2p5jt9v1//7f/9Pll1+uiRMnasiQIbrwwgs1f/78Pj++KMEgQ58ApB6GZgKWlXF9qW5yj3LLmeNUU3NTzFlsNtnkzHHKPcqdhNalDmZEAgAyVSb0pQIm//s2Ww9AaupOgr+wsM+a9f/bu//oqOo7/+OvyYAISESskh+TOKAV8m39WteeRZTxJCu1qaxGx5Tlx/H3j+OvmrTWak/XurZViro20bq6PesP1jVxMWfsruCiqESCZcGDZRdt1tWvSYMxaAvFAUGMk/v943ZChoTMJ8nM3HvnPh/ncIa588nkM+/cO/Oe+76fz6cfp8WBsfFM0W/atGlqamo67OPhcFjWgMsTysrK9Nprr6V93hNOOEEvvPBCRvqYMckJlQe++4ZCYkJlAK6QvDQTgKf4KpcahWBBUI3VjapdWauAAimFv4DsaYwbqht8P2UlIyIBAH7lh1yq2PDj27QdAHdyc4Gf0+LA2Hliek9fSU6ofOjlFskJlWMxZ/oFAACQ56IVUbUsbFFpYeo0xqHCkFoWtihawbfM5IjIZCH0UAEFVFZY5vsRkQAAeFEkYp9cDwz9Ma9AQCors9sBI5FISK2tUnOzfcu0kc5ya4Gf0+JAZlD0c5NcTKjMp2xmJBLShg32/zdsII4AAOSJaEVUnXWdWnfZOjVFm7TusnXqqOug4PdnyRGRkgYV/hgRCQCAtwWD9mgaaXDhL3m/oYFp9jAysZgUDktVVdKSJfZtOEwBx0luLPCzziCQORT93CTbKybzKZsZyTguWGDfX7AgNY4UVgEA8LRgQVCV4UotPmWxKsOVFLAOwYhIAADyVzQqtbRIpakf8wqF7O1Mr4eRYOSWO7mxwJ/t0+KAn3hmTT9fyOaEyslP2UMvl0h+ypK5mRkYx4kTD25PxvH737eLfUw8DQAA8li0IqqaWTVq62pTz54eFU8pVqQ8QoEUMJDoS3Ds5CH+rsgn0ahUU2OfXO/psaf4i0QY4YeRSTdyKxCwR27V1LBvOSFZ4K+rk3buPLg9FLILfrk+jenmdQYBr6Ho5ybZmlCZT9nMMBlnft99gx+jsAoAAPJQckQkAHOx9pjq1tTpg/jBiwRDhSE1VjcyStbD+LsiHwWDUmWl072Al41k5Bb7mjOSBf7166V4XFq9Wjr7bGdOD7t1nUHAi5je002yNaEy46MzI10cD4eJpwEAAADfi7XHVLuyNqUwJEnd8W7VrqxVrD3/5jhL9CXU2tmq5m3Nau1sVaIv/74P+fHvCgAmGLnlDcGgNG+e/f9585wbD+LGdQYBr6Lo5ybZmlCZT9nMGEt8KKwCAAAAvpXoS6huTZ0sDZ41JLmtfk19XhXFYu0xhRvDqlpRpSWxJapaUaVwYzivimB+/LsCgClGbmEk3LjOIOBVFP3cJhsrJvMpmxmZiA+FVQAAAMB32rraBo0EG8iSpe3x7Wrryo+LBP0y+s1vf1cAGAlGbmGksnFaHPAjin5uFI1KnZ3SunVSU5N929Ex+nc2PmUzI10cTVBYBQAAAHynZ4/ZxX+m7dzMT6Pf/PR3BYCRYuQWRiPTp8UBP6Lo51bJFZMXL7Zvx/IJyKdsZgwXx3QorAIAAAC+VTzF7OI/03Zu5qfRb376uwLwjkRCam2Vmpvt24SD11gwcgujkcnT4oAfUfTzCz5lM+NwcSwrk2691S7uUVgFAAAAMECkPKJQYUgBDX3xYEABlRWWKVLu/YsE/TT6zU9/VwDeEItJ4bBUVSUtWWLfhsP2dqcwcgsAcouin5/wKZsZyTiuXm3fX73ajuO991JYBQAArpPoS6i1s1XN25rV2tmaF1PqAV4TLAiqsdqeNeTQAlHyfkN1g4IF3r9I0E+j3/z0dwXgfrGYVFsrfXDIYOvubnu7k4U/Rm4BQO5Q9PMbPmUzIxiU5s2z/z9v3sE4UlgFAAAuEmuPKdwYVtWKKi2JLVHViiqFG8OKtTt41gfwqWhFVC0LW1RamHqRYKgwpJaFLYpW5Md3Br+NfvPL3xWAuyUSUl2dZA1eTrV/W329s1N9eombpkgFgJEa53QHgLyTLKwCAAA4KNYeU+3KWllKPfvTHe9W7cpaTkYDDohWRFUzq0ZtXW3q2dOj4inFipRH8mokWHL0W+3KWgUUSHkPytfRb374uwJwt7a2wSP8BrIsaft2ux2nrIYXi9kF1IHxDIWkxkau6QfgDRT9AAAAgDyT6Euobk3doIKfJFmyFFBA9WvqVTOrhpPSQI4FC4KqDFc63Y2sSo5+q1tTpw/iB8+ahgpDaqhuyMsLDvzwdwXgXj2Gy6SatvOr5BSph46YTE6Ryuo9yBeJhH0RQE+PVFwsRSJMCJhPKPoBAAAAeaatqy3lRPuhLFnaHt+utq42TlIDyApGvwFA7hQbLpNq2s6P0k2RGgjYU6TW1AxfHKGYkn3EeGwYzWrOq/saRT8AAAAgz/TsMbuM27QdAIwGo98AIDciEfukfXf30EWrQMB+PJIfy6lmxUimSI1Ehi4EUEzJPmI8NoxmNeflfa3A6Q4AAAAAyKziKWaXcZu2AwAAgHsFg/aJaMku8A2UvN/Q4I0RKk4xnfr03/5NCoelqippyRL7NhyWfvADu2hyaOEwWUyJxTLdY/9JFqyI8eikG80q2aNZE4mcdmvMEgmptVVqbrZvM9F/r+9rFP0AAACAPBMpjyhUGFJAgSEfDyigssIyRcq53BsAACAfRKP2KJ3S0tTtoRCjd0yYTn3a0DC4EPDBB9J99+VfMcVN8rVglUsjGc3qFbHY0EX4sRTl8mFfo+gHAAAAGEr0JdTa2armbc1q7WxVos+dmX6wIKjGavty70MLf8n7DdUNrK0FAACQR6JRqbNTWrdOamqybzs6KPiZSE6ReuhIyYFGO1LSi8UUt8nHglWumY5mNW3ntGyNxsuHfY2iHwAAAGAg1h5TuDGsqhVVWhJboqoVVQo3hhVrd+fcHtGKqFoWtqi0MPVy71BhSC0LWxSt4OwPAABAvgkGpcpKafFi+5YpPc2YTJE61pE9XimmuFG+FaycYDqa1bSdk7I5Gi8f9rVxTncAAAAAcLtYe0y1K2tlKfVbRXe8W7Ura11bRItWRFUzq0ZtXW3q2dOj4inFipRHGOEHAACQAYmEPdqjp8c+UR6JUGTzsuQUqXV1qSN9QiHp4ovtqT3HwgvFFLfKp4KVU5KjWbu7hy6WBQL24xEPrAAxktF4kcjI3qfzYV9jpB8AAAAwjERfQnVr6gYV/CT1b6tfU+/qqT4rw5VafMpiVYYrKfgBAABkQDbWkoLzDjdFak3N6J8zEJDKyrxRTHGrdNOvEuP0TEazNjR448IF01F2//ZvI3+fzod9jaIfAAAAMIy2rjZ9ED/8ZYSWLG2Pb1dbl4sn9QcAAEDGZGstKbjDUFOkmqz5J3m/mOJW+VSwclJyNGtp6goQCoXs7V5Z/9N0lF1Dw8jfp/NhX6PoBwAAAAyjZ4/ZZYSm7QAAAOBd2VxLCu6VrhAQCEi33ur9Yoqb5UvBymmHG83qpfiZFOEPV5QzeZ/2+r7Gmn4AAADAMIqnmF1GaNoOAAAA3jWStaQqK3PWLeTAcGv+NTTYjy9bxjqP2RSN2lOtEuOxSY5m9apkEb621i78DbwII3l/uAsvTN6nvbyvUfQDAAAAhhEpjyhUGFJ3vHvIdf0CCihUGFKk3MWT+gMAACAjTNeSMm0Hb0lXCPB6McULiDGk4YvwF19sF+LTSfc+7dV9jaIfAAAAMIxgQVCN1Y2qXVmrgAIphb+A7PlEGqobFCzwwCV/8IVEX0JtXW3q2dOj4inFipRH2D8BAMgQ07WkTNvBe7xaCID3JBLeHGmWK4crwre1mRX98vV9mqIfAAAAkEa0IqqWhS2qW1OnD+IHLyMMFYbUUN2gaIXLJ/WHb8TaY0Pup43VjeynAABkQHItqe7uodf1CwTsxyNMAgFgDGKxoUexNTa6f025XBqqCO/39+kCpzsAAAAAeEG0IqrOuk6tu2ydmqJNWnfZOnXUdVBIgWvE2mOqXVmbUvCTpO54t2pX1irWHnOoZwAA5I/kWlKSfeJ4oOT9hgZG4wAYvVjMXq/u0PVDu7vt7THS+mH5/X2aoh8AAABgKFgQVGW4UotPWazKcCVTJsI1En0J1a2pG3LdyeS2+jX1SvQNs6I9AAAwklxLqrQ0dXsoZG9nFA6A0Uok7BF+Q41QS26rr7fb4fD8/D7N9J4AACB7mIAeAHKiratt0Ai/gSxZ2h7frrauNlWGK3PXMQCA7/jlK8Dh1pLKx9cKIHfa2gaP8BvIsqTt2+12rC05PL++T1P0AwAAozfcN3omoAeAnOnZ05PRdgAAjIbfvgIMtZYUAIxFj2G6btrO7/z4Pk3RDwAAjM5w3+gle6L5Q+ejSE5An+9zKQBAjhVPKc5oOwAARiq5BhVfAQBg9IoN03XTdvAf1vQDAAAjN9yq0hdfLF17LRPQA0AORcojChWGFFBgyMcDCqissEyR8kiOewYA8APWoAKAzIhE7OupA0On9QoEpLIyux0wFM8U/Xbt2qWlS5eqsLBQU6dO1VVXXaW9e/cetn1nZ6cCgcCQ/5599tn+dkM9/swzz+TiJQHIhkRCam2VmpvtW75RAGZGcuyYfKPfufPwPz9wAnrkDLkUkN+CBUE1VtsjrQ8t/CXvN1Q3KFiQ5wtYAECWkEsNbyRrUPkJpygAjFQweHACpUMLf8n7DQ35vy4dRs8zRb+lS5fq7bff1tq1a7Vq1SqtX79e11577WHbl5WVqaenJ+XfXXfdpaOOOkrf+ta3Uto+8cQTKe0uvPDCLL8aAFkRi0nhsFRVJS1ZYt+Gw/Z2AIc30mMn3Td6U0xAn1PkUkD+i1ZE1bKwRaWFpSnbQ4UhtSxsUbSCOdUAYLTIpYbHGlSDcYoCwGhFo/aUyKWpab1CIaZKRnqeWNOvvb1da9as0RtvvKGvf/3rkqSHHnpI5513nu6//36VlJQM+plgMKiioqKUbc8995wWLlyoo446KmX71KlTB7UF4DEsHgCMzmiOnUx9U2cC+pwhlwL8I1oRVc2sGrV1talnT4+KpxQrUh5hhB8AjAG5VHqsQZWKUxQAxioalWpq7Ouue3rs989IhBF+SM8TRb+NGzdq6tSp/YmVJM2fP18FBQXatGmTLrroorTPsWXLFm3dulUPP/zwoMduvPFGXX311Zo5c6auu+46XXHFFQocbtJcSQcOHNCBAwf678fjcUlSb2+vent7R/LSXCn5GvLhtWQTcUovZzFKJKTbbpOOPHLoxwMB6fbbpfPOc+UnI/uSGeJkZkRxGu2xU1QkTZw4+k4GAvblamecITn09/TbfkQulVu8X5khTumNJUZnlZ7V//++RJ/6En0Z65fbsC+ZIU5miJMZv8WHXCq9M86QTjpJ+vDDoVcBGMlXAK8fh7k6ReH1OOUCMTJDnMw4FaezDqb16uuz/7kZ+5OZbMbHE0W/HTt26Pjjj0/ZNm7cOE2bNk07duwweo7HHntMFRUVOvPMM1O2/+QnP9Ff/dVfadKkSXrppZd0ww03aO/evbr55psP+1zLli3TXXfdNWj7Sy+9pEmTJhn1xwvWrl3rdBc8gTill5MY3X9/+jYvvpj9fowB+5IZ4mTGOE6jPXaam0fWIdPnzZF9+/Y59rudQC7lDN6vzBCn9IiRGeJkhjiZIU7DI5cilxpKpr+We/k4zOUpCi/HKVeIkRniZIY4mSFOw8tmLuVo0e/222/X8uXLh23T3t4+5t+zf/9+NTU16Y477hj02MBtp512mj799FPdd999wyZXP/zhD/W9732v/348HldZWZnOPfdcFRYWjrm/Tuvt7dXatWv1jW98Q+PHj3e6O65FnNLLWYxaWqSrrkrf7rHH7Hk0XIZ9yQxxMjOiOI3l2Hn+eemSS+z/D7yUN3lF8lNP2be33WbPYZMUCkk//7l0/vnpf28W7dy509HfnynkUu7E+5UZ4pQeMTJDnMwQJzPEyQy51Mj4KZd6/vmxfwXw+nGYq1MUXo9TLhAjM8TJDHEyc7g4JRLSxo3Sjh32BFJz57pyQracyWYu5WjR75ZbbtHll18+bJuZM2eqqKhIH3/8ccr2L774Qrt27TKa87ylpUX79u3TpZdemrbtnDlz9NOf/lQHDhzQhAkThmwzYcKEIR8bP358Xh3w+fZ6soU4pZf1GBUXS/v3m7Vz8d+KfckMcTJjFKexHDvJBSjq6qQPPji4vaxMamg4+LhLJ6DPl32IXMrd8u31ZAtxSo8YmSFOZoiTGeI0vHyJDblU5mVyDSo3vJ7RyPUpCq/GKZeIkRniZIY4mRkYp1hs8OmjUEhqbPTv+qbZ3IccLfodd9xxOu6449K2mzt3rnbv3q0tW7bo9NNPlyS9+uqr6uvr05w5c9L+/GOPPaYLLrjA6Hdt3bpVxxxzzGETKwAuFInYnxTd3YdfPCAUstsBOGisx47JN/pgUKqszEr3QS4F5LNEX0IbujZIkjZ0bdDZM85WsMD5iyYAIJ+QS2WH378CcIoCQD5LJEZ2YUcsZo9qPvT9sLvb3t7S4t/CX7YUON0BExUVFaqurtY111yjzZs36/XXX9dNN92kRYsWqaSkRJLU3d2t2bNna/PmzSk/+95772n9+vW6+uqrBz3v888/r3/6p3/SW2+9pffee0+PPPKI7rnnHn3nO9/JyesCkCHBoH1piHRwasGk5P2GBleMLgJcJRPHTvIb/eLF9i3HmSuRSwHeEmuPKdwY1oKmBZKkBU0LFG4MK9Yec7hnAOBP5FIYCU5RAMhXsZgUDktVVdKSJfZtOGxvH0oiYY/wG+oCiOS2+nq7HTLHE0U/SXr66ac1e/ZsnXPOOTrvvPM0b948/epXv+p/vLe3V++8886gBRAff/xxhUIhnXvuuYOec/z48Xr44Yc1d+5cfe1rX9M//uM/6oEHHtCdd96Z9dcDIMOiUfvSkNLS1O2hEJeMAMPh2PENcinAG2LtMdWurNUH8Q9StnfHu1W7spbCHwA4hFwKI5GPX7MSCam1VWputm85SQ/4S3LE3gepX1P6R+wNVfhraxvcfiDLkrZvt9shcxyd3nMkpk2bpqampsM+Hg6HZQ1RMr7nnnt0zz33DPkz1dXVqq6uzlgfATgsk4sHAH7CseML5FKA+yX6EqpbUydLg49FS5YCCqh+Tb1qZtUw1ScA5Bi5FEYqn75msR4X4G/pRuwFAvaIvZqa1Md6esye37QdzHim6AcARvy+eAAwWhw7AOC4tq62QSP8BrJkaXt8u9q62lQZrsxdxwAAwKjkw9cs1uPyhpGuswaMxEhG7J111sHtxcVmz2/aDmY8M70nAAAAAOSznj1ml7iatgMAABgL1uPyhpGuswaM1GhH7EUi9qjgQ9c3TQoEpLIyux0yh6IfAAAAAN9L9CXU2tmq5m3Nau1sVaIv92eviqeYXeJq2g4AAGAsWI/L/UazzhowUqMdsRcM2tMAS4MLf8n7DQ2MSs00in4AAAAAfC3WHlO4MayqFVVaEluiqhVVCjeGFWvP7VmSSHlEocKQAhr6UtiAAiorLFOknEthkxJ9CW3o2iBJ2tC1wZFiLQAA+Yr1uNyNkZjIlbGM2ItG7WmAS0tTt4dCTA+cLRT9AAAAAPhWrD2m2pW1g9bS6453q3ZlbU4Lf8GCoBqr7UthDy38Je83VDcoWMClsNLBYu2CpgWSpAVNCxwp1gIAkK9Yj8vdGImJXBnriL1oVOrslNatk5qa7NuODgp+2ULRDwAAAIAvJfoSqltTJ0uDL49ObqtfU5/T0WPRiqhaFraotDD1UthQYUgtC1sUreCbseSuYi0AAPmK9bjcjZGYyKWxjtgLBqXKSmnxYvuWKT2zh6IfAAAAAF9q62obVDQayJKl7fHtauvK7eXR0YqoOus6tXrJaknS6iWr1VHXQcHvz9xYrAUAYKQSCam1VWputm/dOAUj63G5GyMxkWuM2PMGin4AAAAAfKlnj9llz6btMilYENS88nmSpHnl85jScwC3FmsBADAVi0nhsFRVJS1ZYt+Gw/Z2t2E9LvdiJCacwIg996PoBwAAAMCXiqeYXfZs2g654eZiLQAA6cRiUm3t4LXYurvt7W4t/DG6x30YiQlgKBT9AAAAAPhSpDyiUGFIAQ19eXRAAZUVlilSzuXRbkKxFgDgVYmEVFcnWYNnqO7fVl/v3qk+Gd3jPozEBHAoin4AAAAAfClYEFRjtX159KGFv+T9huoGptZ0GYq1AACvamsbPMJvIMuStm+32wGmGIkJYCCKfgAAAAB8K1oRVcvCFpUWpl4eHSoMqWVhi6IVnC1xG4q1AACv6jGcedq0HZDESEwASeOc7gAAAAAAOClaEVXNrBq1dbWpZ0+PiqcUK1IeoWjkYslibd2aOu3cu7N/e6gwpIbqBoq1AABXKjacedq0HYBUiYQ9Uranxz6OIhEKoPAfin4AAP8iGwQA/FmwIKjKcKXT3cAIJIu16zvWK/5WXKuXrNbZM86mWAsAcK1IxF5rrbt76HX9AgH78QgzVAMjFovZa2YOnEI3FJIaG5nqFP7C9J4AAH+KxaRwWKqqkpYssW/DYXs7AADwhGBBUPPK50mS5pXPo+AHAHC1YNAuQEh2gW+g5P2GBq5FHSiRkFpbpeZm+zaRcLpHcKNYTKqtHbxmZne3vZ1TPfATin4AAP8hGwQAAAAAOCAalVpapNLU5YQVCtnbGZF0ENfqwkQiYY/wG2r0bHJbfT0FY/gHRT8AgL+QDQIAAAAAHBSNSp2d0rp1UlOTfdvRQcFvIK7Vham2tsH7yUCWJW3fbrcD/IA1/QAA/jKSbLCyMmfdAgAAAAD4RzDIV87DSXetbiBgX6tbU8NUqJB6ejLbDvA6RvoBAPyFbBAAAAAAANdi5BZGorg4s+0Ar2OkHwDAX8gGAQAAAABwLa7VHSyRsIucPT326YpIhFGOSZGIvSZmd/fQo0MDAfvxSCT3fQOcwEg/AIC/JLPBQGDoxwMBqayMbBAAAAAAAAdwrW6qWEwKh6WqKmnJEvs2HGZdw6RgUGpstP9/6Kme5P2GhvRF0kRCam2Vmpvt20Qiwx0FcoSiHwDAXzKVDQIAAAAAgIzjWt2DYjGptnbwdKfd3fZ2Cn+2aFRqaZFKS1O3h0L29mh0+J+nsIp8QtEPAOA/Y80GAQAAAABAVnCtri2RkOrqhp6yMrmtvp4RaUnRqNTZKa1bJzU12bcdHWYFPwqryCcU/QAA/jTabBAAAAAAAGQV1+raa/gdWogayLKk7dvtdrAFg1JlpbR4sX1rMqUnhVXkm3FOdwAAAMcks0EAAAAAAOAq0ahUU2MXtXp67DX8IpH8H+GX1NOT2XYYbCSF1bPOyl2/gLGg6AcAAAAAo5ToS6itq009e3pUPKVYkfKIggXZPxPl1O8FAMApiYR/iz+54sYY+/la3eLizLbDYF4urLrxeIU7UPQDAAAAgFGItcdUt6ZOH8QPXh4cKgypsbpR0YrszTnl1O8FAMApsZg9Bd/AETmhkL3umx+mecwFYuw+kYj9N+juHnr6yUDAfjwSyX3f8oVXC6scrxgOa/oBAAAAwAjF2mOqXVmbUniTpO54t2pX1irWHsur3wt4RaIvodbOVjVva1ZrZ6sSfSzCA3hdLCbV1g6egq+7294e46NvzIixOwWDdhFHsgt8AyXvNzQwumsskoXVQ+ObFAhIZWXuKqxyvCIdin4AAAAAMAKJvoTq1tTJ0uBLrpPb6tfUZ7zY4NTvBbwi1h5TuDGsqhVVWhJboqoVVQo3himGAx6WSNijWYYa5ZTcVl9vt8PoEGN3i0allhaptDR1eyhkb2dU19h4rbDK8QoTFP0AAAAAYATautoGjbQbyJKl7fHtautqy4vfC3gBo2CB/NTWNng0y0CWJW3fbrfD6BBj94tGpc5Oad06qanJvu3ooOCXKV4qrHK8wgRr+gEAgOGxOjQApOjZ05PRdm7/vYDbpRsFG1BA9WvqVTOrRsECchjAS3oMP9JM22EwYuwNwaBUWel0L/JXNCrV1Lj/1AfHK0xQ9AMAAIfH6tAAMEjxlOKMtnP77zWV6EuoratNPXt6VDylWJHyCAUW5MRIRsFWhitz1zEAY1Zs+JFm2g6DEWPA5oXCKscrTFD0AwAAQ0uuDn3oZPHJ1aHdNs8FAORIpDyiUGFI3fHuIUcWBRRQqDCkSHkkL36viVh7THVr6lIKL6HCkBqrGxWtcO6zgkKkPzAKFsgfiYS0YYP9/w0bpLPOsq857O4eeg2rQMB+PJL7j768EYkQY8ArOF5hgjX9AADAYKwODQCHFSwIqrG6UZJdaBsoeb+huiHjxSWnfm86bl1LLdYeU7gxrKoVVVoSW6KqFVUKN4ZZ2y0PuX0ULAAzsZgUDksLFtj3FyyQTjxRWrzYvh9I/ejrv9/Q4L4p+LwkGLQncpGIMeB2HK8wQdEPAAAMxurQADCsaEVULQtbVFpYmrI9VBhSy8KWrI1uc+r3Hk66tdQkqX5NvRJ9ub1IxK2FSKck+hLa0GUPndnQtSHnf49sS46CPbQYnhRQQGWFZY6MggVgJjnJyKFfQbq7pfvvl77/fak09aNPoRCTj2RKNGrHkhgD7sfxinQ8U/S7++67deaZZ2rSpEmaOnWq0c9YlqUf//jHKi4u1sSJEzV//ny9++67KW127dqlpUuXqrCwUFOnTtVVV12lvXv3ZuEVAADgIawOnXfIpYDMi1ZE1VnXqXWXrVNTtEnrLlunjrqOrBfenPq9QxnJWmq54tZCpFOSIx4XNNlDZxY0Lci7EY9uHQWL/EIulT0mk4w884z0//6ftG6d1NRk33Z0cHI7k6JRqbOTGANewPGK4Xim6Pf555/r29/+tq6//nrjn7n33nv14IMP6tFHH9WmTZs0efJkffOb39Rnn33W32bp0qV6++23tXbtWq1atUrr16/Xtddem42XAACAd7A6dN4hlwKyI1gQVGW4UotPWazKcGXOigpO/d5DuXEtNTcWIp3ipxGPbhsFi/xDLpU9ppOM/OY3UmWlPd1nZSXT12VDMEiMAa/geMXhjHO6A6buuusuSdKTTz5p1N6yLDU0NOhv//ZvVVNTI0n653/+Z02fPl2//vWvtWjRIrW3t2vNmjV644039PWvf12S9NBDD+m8887T/fffr5KSkqy8FgAAXI/VofMOuRSAbHDjWmpuLEQ6Id2Ix4ACql9Tr5pZNXkzAi5aEVXNrBq1dbWpZ0+PiqcUK1IeyZvXB2eRS2UPk4wAAJA5nin6jVRHR4d27Nih+fPn9287+uijNWfOHG3cuFGLFi3Sxo0bNXXq1P7ESpLmz5+vgoICbdq0SRdddNGQz33gwAEdOHCg/348Hpck9fb2qre3N0uvKHeSryEfXks2Eaf0iJEZ4mSGOJnJaJwaG6VLLrH/P7DwN3B16L4++5/HsB+lRy41erxfmSFO6XkhRmcUn6GTjj5JH+75cMjiUkABlU4p1RnFZ2TtdRwap6JJRZpYMDHtzxVNKnJ1bMdqQ9cG7dy7sz8Wh95K0h/3/lHrO9ZrXvk8R/qYLWeVntX//75En/oS5rmKF447NyA+6ZFLmSsqkiYOeNueOLE35XZgOw++vKzh/So9YmSGOJkhTmaIk5lsxidvi347duyQJE2fPj1l+/Tp0/sf27Fjh44//viUx8eNG6dp06b1txnKsmXL+q/wGuill17SpEmTxtp111i7dq3TXfAE4pQeMTJDnMwQJzMZiVMwaE8OP5wXXhj773HAvn37nO6C65FLjR3vV2aIU3puj9H9M+5P2+bFNS9mvR8D49T8f5vTto+/FdcLb3nzc8zUUHF4/KuPp9z3QxxGw+3HndPIpdIjlxqZ5iHeth9/PPU4jMc9+/Ujq3i/So8YmSFOZoiTGeI0vGzmUo4W/W6//XYtX7582Dbt7e2aPXt2jnpk5oc//KG+973v9d+Px+MqKyvTueeeq8LCQgd7lhm9vb1au3atvvGNb2j8+PFOd8e1iFN6xMgMcTJDnMxkJU6JhLRxo7Rjh3157dy5np8sfufOnU53ISPIpdyJ9yszxCk9L8Xo+Xee120v36buPd3920JTQvr5/J/r/FnnZ/V3DxWn5995Xpc8Z49WHzgCMSB7tPpTFz2V9X45bUPXBi1oWtB/f2LBRD3+1cd15VtXan/f/v7tq5eszruRfmPhpePOSeRSzsrHXOr55w9OMnLkkb16/PG1uvLKb+izz+zj8KmnpPPz+217xHi/So8YmSFOZoiTGeJkJpu5lKNFv1tuuUWXX375sG1mzpw5qucuKiqSJH300UcqLj64fsRHH32kr33ta/1tPv7445Sf++KLL7Rr167+nx/KhAkTNGHChEHbx48fn1c7cr69nmwhTukRIzPEyQxxMpPROI0fL1VVZea5XCJf9iFyKXfLt9eTLcQpPS/EKPrVqGr+j7NrqQ2MU/SrUSko1a2p0wfxD/rblBWWqaG6QdGKaM765ZSzZ5ytY486Vt3x7pTC5/6+/drft18BBRQqDOnsGWez5t0QvHDcOSlfYkMu5R7RP78t19VJyfOg+/eP15e+NF4NDQcfx2Be/rvnCjEyQ5zMECczxGl42YyNo0W/4447Tscdd1xWnnvGjBkqKirSK6+80p9MxeNxbdq0Sddff70kae7cudq9e7e2bNmi008/XZL06quvqq+vT3PmzMlKvwAAADKFXAqAmwQLgqoMVzrdjX7RiqhqZjlbiHRSsCCoxupG1a6s7R/hmJS831D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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate average of z_axis\n",
    "z_axis_avg = df[\"z_axis\"].mean()\n",
    "\n",
    "# Print the result\n",
    "print(f\"Average z_axis value: {z_axis_avg}\")\n",
    "\n",
    "if z_axis_avg < 0:\n",
    "    # For rows where z_axis > 0, change the sign of x_axis, y_axis, and z_axis\n",
    "    df.loc[df[\"z_axis\"] > 0.25, [\"x_axis\", \"y_axis\", \"z_axis\"]] *= -1\n",
    "    print(\"Transformed rows where z_axis > 0.\")\n",
    "else:\n",
    "    # For rows where z_axis < 0, change the sign of x_axis, y_axis, and z_axis\n",
    "    df.loc[df[\"z_axis\"] < 0.25, [\"x_axis\", \"y_axis\", \"z_axis\"]] *= -1\n",
    "    print(\"Transformed rows where z_axis < 0.\")\n",
    "\n",
    "show_plots(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cc6d7d77",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average y_axis value: 0.0008660297923382544\n",
      "Cleaned 30 rows where y_axis was outside the acceptable range.\n"
     ]
    },
    {
     "data": {
      "image/png": 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vPH3zzTe69dZbVV9fryOPPFKVlZXhBY/Xrl2rjIyMcP3//ve/mjZtmurr69W7d28dc8wx+vvf/65hw4aF6/z617/W9u3bddlll2nLli0aPXq0Kisr1a1bt04/PyDpeL1SSYm0bvdd8XI4pPJyyc3FMQCwGvpSSDeBpoBKKkuiEn6SFFRQNtlUWlmqoiFFlk5iAPFi9VGyQKzRlwIAAMnOUkk/SZo+fXqL0yZUV1dHbD/wwAN64IEHWj2ezWbT7NmzNXv27Fg1EUgNXq/k8UjBvS6S1dUZ5RUVJP4AwILoSyGd+Nb6IpIVewsqqNqGWvnW+hj5A+yFUbJA8+hLAQCAZJbRdhUAaScQMEb47Z3wk3aXlZYa9QAAAJKUf6s/pvWAdNHWKFlJKq0sVaCJvwcAAACAZELSD0A0ny9ySs+9BYNSba1RDwAAIEnl9syNaT0gXbRnlCwAAACA5EHSD0A0v8m73c3WAwAASADXAJcc2Q7ZZGt2v0025WfnyzXA1cktA5Ibo2QBAAAAayLpByBarsm73c3WAwAASAB7hl3lheWSFJX4C22XFZbJnmHv9LYByYxRsgAAAIA1kfQDEM3lkhwOydb8XfGy2aT8fKMeAABAEnMPdaticoXysvMiyh3ZDlVMrpB7qDtBLQOSF6NkAQAAAGvqkugGAEhCdrtUXi55PEaCLxjcvS+UCCwrM+oBAAAkOfdQt4qGFMm31if/Vr9ye+bKNcDFCD+gBaFRsp6FHtlkU1C7/x5glCwAAACQvBjpB6B5brdUUSHlRd4VL4fDKHdzVzwAALAOe4ZdBc4CTRkxRQXOApIVQBsYJQsAAABYDyP9ALTM7ZaKiiSfT/L7jTX8XC5G+AEAAABpgFGyAAAAgLWQ9APQOrtdKihIdCsAAACApBFoCqRNIiw0ShYAAABA8iPpBwAAAACASd7VXpVUlmhdw7pwmSPbofLCcqa8BAAAAJBQrOkHAAAAIKYCTQFV11RrwUcLVF1TrUBTINFNAmLCu9orz0JPRMJPkuoa6uRZ6JF3tTdBLQMAAAAARvoBAAAAiCFGQSFVBZoCKqksUVDBqH1BBWWTTaWVpSoaUpSyU30CAAAASG6M9AOsIhCQqqulBQuMxwB3zAMAgOTCKCikMt9aX9R7e09BBVXbUCvfWl8ntgoAAAAAdiPpB1iB1ys5ndKYMVJxsfHodBrlAJCquNkBsJS2RkFJUmllKVN9wrL8W/0xrQcAAAAAsUbSD0h2Xq/k8Ujr9rqruK7OKCfxByAVcbMDYDmMgkKqy+2ZG9N6AAAAABBrJP2AZBYISCUlUjD6jvlwWWkpo18ApBZudgAsiVFQSHWuAS45sh2yydbsfptsys/Ol2uAq5NbBgAAAAAGkn5AMvP5oi967ykYlGprjXoAkAq42QGwLEZBIdXZM+wqLyyXpKjEX2i7rLBM9gx7p7cNAAAAACSSfkBy85u8E95sPQBIdtzsAFgWo6CQDtxD3aqYXKG87LyIcke2QxWTK+Qe6k5QywAAAABA6pLoBgBoRa7JO+HN1gOAZMfNDoBlhUZBeRZ6ZJNNQe0escsoKKQS91C3ioYUybfWJ/9Wv3J75so1wMV7GwAAAEDCkfQDkpnLJTkcxjpWzU11Z7MZ+13cMQ8gRXCzA2BpoVFQJZUlWtewe9SuI9uhssIyRkEhZdgz7CpwFiS6GQAAAAAQgaQfkMzsdqm8XPJ4jATfnok/2/+mziorM+oBSA+BgDG1pd9vJL5crtT6DuBmB8DyGAUFAAAAAEBisKYfkOzcbqmiQsqLXDdEDodR7uaOeSBteL2S0ymNGSMVFxuPTqdRnipCNztIu29uCOFmB8AyQqOgpoyYogJnAQk/AAAAAAA6AUk/wArcbqmmRlq2TJo/33hcs4aEH5BOvF5j1O+6dZHldXVGeSol/rjZAQAAAAAAAGg3pvcErMJulwoKEt0KAIkQCEglJc1PdxkMGiPgSkuloqJOb1rcuN3G+aTyVKYAAAAAAABADJH0AwAg2fl80SP89hQMSrW1Rr2TTuq8dsUbNzsAAAAAAAAAppH0AwAg2fn9sa0HICECTQH51vrk3+pXbs9cuQa4WOsOAAAAAADEDEk/AACSXW5ubOsB6HTe1V6VVJZoXcPuUbuObIfKC8vlHso6lQAAAAAAYN9lJLoBAACgDS6X5HAYa/c1x2aT8vONegCSjne1V56FnoiEnyTVNdTJs9Aj72pvgloGAAAAAABSCUk/ANYTCEjV1dKCBcZjIJDoFgHxZbdL5eXG73sn/kLbZWVGPQBJJdAUUElliYIKRu0LlZVWlirQxP9lAAAAAABg35D0A2AtXq/kdEpjxkjFxcaj02mUA6nM7ZYqKqS8vMhyh8ModzM9IJCMfGt9USP89hRUULUNtfKt9XViqwAAAAAAQCpiTT8A1uH1Sh6PFNxrtERdnVFO4gOpzu2Wiookn0/y+401/FwuRvgBScy/1R/TegAAAAAAAC0h6QfAGgIBqaQkOuEnGWU2m1RaaiRESIAgldntUkFBolsBwKTcnrkxrQcAAAAAANASpvcEYA0+n7Su5enRFAxKtbVGPQAAkoRrgEuObIdssjW73yab8rPz5Rrg6uSWAQAAAACAVEPSD4A1+E1Oe2a2HgAAncCeYVd5YbkkRSX+QttlhWWyZzBKHQAAAAAA7BuSfgCsIdfktGdm6wEA0EncQ92qmFyhvOy8iHJHtkMVkyvkHsp6tAAAAAAAYN9ZLun30EMPyel0qlu3bho5cqRWrVrVYt0//elPcrlc6t27t3r37q1x48ZF1b/kkktks9kifgoLC+N9GgDay+WSHA5j7b7m2GxSfr5RDwDQIvpSieEe6lZNSY2WXbxM893zteziZVpTsoaEHwAAFkNfCgAAJDNLJf1eeOEFzZgxQ7fddpvee+89HXHEEZo4caI2bNjQbP3q6mpNmTJFy5Yt04oVK5Sfn68JEyaorq4uol5hYaH8fn/4Z8GCBZ1xOgDaw26Xyo3p0aISf6HtsjKjHgCgWfSlEsueYVeBs0BTRkxRgbOAKT0BALAY+lIAACDZWSrpd//992vatGmaOnWqhg0bprlz56pHjx6aN29es/Wfe+45XXXVVTryyCN16KGH6vHHH1dTU5OWLl0aUS8rK0s5OTnhn969e3fG6QBoL7dbqqiQ8iKnR5PDYZS7GS0BAK2hLwUAANBx9KUAAECys0zSb9euXXr33Xc1bty4cFlGRobGjRunFStWmDrGjh071NjYqD59+kSUV1dXq2/fvhoyZIiuvPJKbdq0KaZtBxBDbrdUUyMtWybNn288rllDwg8A2kBfCgAAoOPoSwEAACvokugGmLVx40YFAgH169cvorxfv3769NNPTR3jhhtuUP/+/SM6aIWFhXK73Ro4cKC+/PJL3XTTTTrttNO0YsUK2VuYJnDnzp3auXNneLuhoUGS1NjYqMbGxvaeWtIJnUMqnEs8Eae2xTVGJ520+/emJuPHongvmUOczCFO5qRjfOhLdR4+h+YQp7YRI3OIkznEyRziZE46xoe+VOfhc2gOcWobMTKHOJlDnMwhTubEMz6WSfrtq7vvvlvPP/+8qqur1a1bt3D5+eefH/59xIgROvzww3XwwQerurpaY8eObfZYd911l2bNmhVVvmTJEvXo0SP2jU+QqqqqRDfBEohT24iROcTJHOJkDnFq3Y4dOxLdBMuhL9V+fA7NIU5tI0bmECdziJM5xKl19KXaj75U+/E5NIc4tY0YmUOczCFO5hCn1sWzL2WZpN8BBxwgu92u9evXR5SvX79eOTk5rT73vvvu091336033nhDhx9+eKt1Bw0apAMOOEBffPFFi52rmTNnasaMGeHthoaG8GLM2dnZJs8oeTU2Nqqqqkrjx49XZmZmopuTtIhT24iROcTJHOJkDnEyJx2nTKIv1Xn4HJpDnNpGjMwhTuYQJ3OIkzn0pXajLxV7fA7NIU5tI0bmECdziJM5xMmcePalLJP069q1q4455hgtXbpUZ599tiSFFz+ePn16i8/73e9+pzvuuEOLFy/Wscce2+brrFu3Tps2bVJubm6LdbKyspSVlRVVnpmZmVJv5FQ7n3ghTm0jRuYQJ3OIkznEqXXpGBv6Up0v1c4nXohT24iROcTJHOJkDnFqXTrGhr5U50u184kX4tQ2YmQOcTKHOJlDnFoXz9hkxO3IcTBjxgz96U9/0tNPP63Vq1fryiuv1Pbt2zV16lRJ0kUXXaSZM2eG699zzz265ZZbNG/ePDmdTtXX16u+vl7btm2TJG3btk3XX3+9/t//+3+qqanR0qVLVVRUpMGDB2vixIkJOUcAAIB4oS8FAADQcfSlAABAsrPMSD9JOu+88/TNN9/o1ltvVX19vY488khVVlaGF1Feu3atMjJ25zEfeeQR7dq1Sx6PJ+I4t912m26//XbZ7XZ9+OGHevrpp7Vlyxb1799fEyZM0Jw5c5q9YwoAgJgIBCSfT/L7pdxcyeWS7PZEtwppgL4UAABAx9GXAgAAyc5SST9Jmj59eovTJlRXV0ds19TUtHqs7t27a/HixTFqGQAAJni9UkmJtG7d7jKHQyovl9zuxLULaYO+FAAAnSvQFJBvrU/+rX7l9syVa4BL9gxu+LIq+lIAACCZWS7pBwCAZXm9kscjBYOR5XV1RnlFBYk/AACAFOJd7VVJZYnWNey+4cuR7VB5YbncQ+n3AQAAILYstaYfAACWFQgYI/z2TvhJu8tKS416AAAAsDzvaq88Cz0RCT9Jqmuok2ehR97V3gS1DAAAAKmKpB8AxEIgIFVXSwsWGI8kbrA3ny9ySs+9BYNSba1RDwAAAJYWaAqopLJEQUXf8BUqK60sVaCJvxsAAAAQOyT9AGBfeb2S0ymNGSMVFxuPTqdRDoT4/bGtBwAAgKTlW+uLGuG3p6CCqm2olW8tN3wBAAAgdkj6AcC+CK3RtvcIrtAabST+EJKbG9t6AAAASFr+reZu5DJbDwAAADCDpB8AdBRrtKE9XC7J4ZBstub322xSfr5RD4BlBZoCWr52uSRp+drlTNsGAGkqt6e5G7nM1gMAAADMIOkHAB3FGm1oD7tdKi83ft878RfaLisz6gGwJO9qr5zlTk2aP0mSNGn+JDnLnfKuZtQ3AKQb1wCXHNkO2dT8DV822ZSfnS/XAG74AgAAQOyQ9AOAjmKNNrSX2y1VVEh5eZHlDodR7nYnpl0A9pl3tVeehZ6o9ZvqGurkWegh8QcAacaeYVd5oXHD196Jv9B2WWGZ7Bnc8AUAAIDYIekHAB3FGm3oCLdbqqmRli2T5s83HtesIeEHWFigKaCSyhIFFT3dc6istLKUqT4BIM24h7pVMblCedmRN3w5sh2qmFwh91D6fwAAAIitLoluAABYVmiNtrq65tf1s9mM/azRhr3Z7VJBQaJbASBGfGt9USP89hRUULUNtfKt9anAWdB5DQMAJJx7qFtFQ4rkW+uTf6tfuT1z5RrgYoQfAAApIhAwVvbx+437/l0uVm5BYpH0A4COCq3R5vEYCb49E3+s0QYAacO/1dw0zmbrAQBSiz3Dzk0fANqFJAJgDV6vVFIirdvjHlCHw7hcyIROSBSm9wSAfcEabQCQ9nJ7mpvG2Ww9AAAApC+vV3I6pTFjpOJi49HpNMoBJA+v1xgHsG6vSV/q6ozydPzMBgLS8uXG78uXG9vofCT9AGBfsUYbAKQ11wCXHNkO2WRrdr9NNuVn58s1gOme4y3QFFB1TbUWfLRA1TXVrKMIAAAshSQCYA2BgDHCr7nVfkJlpaXplfQK3bAwaZKxPWkSNywkCkk/AIiF0BptU6YYj8y7AQBpw55hV3lhuSRFJf5C22WFZazfFGfe1V45y50a8/QYFXuLNebpMXKWO+VdzV+ZAAAg+ZFEAKzD54tOzu8pGJRqa4166YAbFpILST8AAABgH7mHulUxuUJ52ZHTPTuyHaqYXCH3UEZ/x5N3tVeehR6ta4j8K7OuoU6ehR4SfwAAIOmRRACsw29yuXaz9ayMGxaSD0k/AAAAIAbcQ92qKanRouJFkqRFxYu0pmQNCb84CzQFVFJZoqCi/8oMlZVWljLVJwAASGokEQDryDW5XLvZelbGDQvJh6QfAAAAECP2DLtGDxgtSRo9YDRTenYC31pf1Ai/PQUVVG1DrXxr+SsTAAAkL5IIgHW4XJLDIdmaX9ZdNpuUn2/US3XcsJB8SPoBAAAAsCz/VnN/PZqtBwAAkAgkEWA1gYBUXS0tWGA8ptP0jXa7VG4s6x71mQ1tl5UZ9VIdNywkH5J+AAAAACwrt6e5vx7N1gMAAEgEkgiwEq9XcjqlMWOk4mLj0ek0ytOF2y1VVEh5kcu6y+Ewyt1pssoDNywkH5J+AAAAACzLNcAlR7ZDNjX/V6ZNNuVn58s1gL8yAQBAciOJACvweiWPJ3odt7o6ozzdEn81NdKyZdL8+cbjmjXp9VnlhoXk06Gk33fffacdO3aEt7/66iuVlZVpyZIlMWsYAABAqqIvBcSOPcOu8kLjr8y9E3+h7bLCMtZXBAAAlkASAcksEJBKSqRgMHpfqKy0NP2m+iwokKZMMR7TMbnFDQvJpUNJv6KiIj3zzDOSpC1btmjkyJH6/e9/r6KiIj3yyCMxbSAAAECqoS8FxJZ7qFsVkyuUlx35V6Yj26GKyRVyD+WvTABIJbW1tVq3xxCTVatWqbS0VI899lgCWwXEDkkEJCufL3qE356CQam21qiH9BK6YWHRImN70SJuWEiUDiX93nvvPbn+NwlrRUWF+vXrp6+++krPPPOM/vCHP8S0gQAAAKmGvhQQe+6hbtWU1GjZxcs03z1fyy5epjUlaxKe8As0BVRdU60FHy1QdU21Ak1pdNszgH3Gd0jziouLtWzZMklSfX29xo8fr1WrVuk3v/mNZs+eneDWAUDq8vtjWw+pxW6XRo82fh89OnY3LAQCUnW1tGCB8ZhOI0k7oktHnrRjxw717NlTkrRkyRK53W5lZGTohBNO0FdffRXTBgIAAKQa+lJAfNgz7CpwFiS6GWHe1V6VVJZoXcPu26Ed2Q6VF5YnPBkJIPnxHdKyjz/+WMcff7wkaeHChRo+fLj+9re/acmSJbriiit06623JriFAJCacnNjWw9oi9drTCm75whTh8NYR5BRhM3r0Ei/wYMH65VXXlFtba0WL16sCRMmSJI2bNig7OzsmDYQAAAg1dCXAlKfd7VXnoWeiIv1klTXUCfPQo+8q70JahkAK+A7pHWNjY3KysqSJL3xxhs666yzJEmHHnqo/AwvAYC4cbmMhIvN1vx+m03KzzfqAfvK65U8nugpZevqjHJveneHWtShpN+tt96q6667Tk6nUyNHjtSoUaMkGXeqH3XUUTFtIAAAQKqhLwWktkBTQCWVJQoqGLUvVFZaWco0fQCaxXdI2w477DDNnTtXPp9PVVVVKiwslCR9/fXX+vGPf5zg1gFA6rLbjRFWUnTiL7RdVsY6lNh3gYAxwi8Y3R0Kl5WWMtVnczqU9PN4PFq7dq3eeecdVVZWhsvHjh2rBx54IGaNAwAASEX0pYDU5lvrixqds6eggqptqJVvra8TWwXAKvgOads999yjRx99VAUFBZoyZYqOOOIISdKrr74anvYTABAfbrdUUSHl5UWWOxxGOVMuIhZ8vugRfnsKBqXaWqMeInVoTT9JysnJUU5OTkQZHSsAAABz6EsBqcu/1dzUcmbrAUgvfIe0raCgQBs3blRDQ4N69+4dLr/sssvUo0ePBLYMANKD2y0VFRkJF7/fWMPP5WKEH2LH7GzdzOodzXTSz+1266mnnlJ2drbcbaTrvUymCgAAEIG+FJA+cnvmxrQegPTCd4g5drs9IuEnSU6nMzGNAYA0ZLdLBQWJbgVSVa7Jbo7ZeunEdNJv//33l+1/E/Puv//+cWsQAABAKqIvBaQP1wCXHNkO1TXUNbsml002ObIdcg1wJaB1AJId3yHNO/roo7V06VL17t1bRx11VLhf1Zz33nuvE1sGAABizeUypoytq2t+XT+bzdjvSq/ukCmmk35PPvlks78DAACgbfSlgPRhz7CrvLBcnoUe2WSLuGhvk3GRuqywTPYM5j8CEI3vkOYVFRUpKytLknT22WcntjEAACCu7HapvFzyeIwE356Jv9B9P2VlTCnbnA6t6ffpp5/q0EMPbXbf4sWLNXHixH1qFAAAQCqjLwWkPvdQtyomV6ikskTrGnavQO/IdqissEzuoa1P8wsgvfEdEu22225r9ncAAJJZIMDahx3ldksVFVJJibRud3dIDoeR8Gtj5ZS01aGk39FHH617771XV199dbhs586d+tWvfqXHH39c33//fcwaCAAAkGroSwHpwT3UraIhRfKt9cm/1a/cnrlyDXCl3egcAB3Dd0jLli1bpjFjxjS779FHH9Xll1/eyS0CACCa19t8wqq8nISVWW63VFRE4rQ9OpT0e+qpp3TllVdq0aJFevLJJ+X3+1VcXKympib5fL5YtxGpjtsdAABphr4UkD7sGXYVOAsS3QwAFsV3SPMKCwt1zTXX6M4771RmZqYkaePGjZo6daqWL19O0g8AkHBerzE15d7r0dXVGeUVFST+zLLbpYKCRLfCOjI68qTJkyfrn//8pxobG3XYYYdp1KhROuWUU/Tee+/puOOOi3Ubkcq8XsnplMaMkYqLjUen0ygHACBF0ZcCAADouGXLlunll1/Wcccdp3/9619atGiRhg8froaGBn3wwQeJbh4AIM0FAsYIv70TftLustJSox4Qax1K+oXs2rVLgUBAgUBAubm56tatW6za1aKHHnpITqdT3bp108iRI7Vq1apW67/44os69NBD1a1bN40YMUKvv/56xP5gMKhbb71Vubm56t69u8aNG6fPP/88nqeAkNDtDnuOb5Z23+5A4g8AkOLoSwEAALTfiSeeqA8++EDDhw/X0UcfrXPOOUfXXnutqqurddBBB8X1telLAQDa4vNFX/LeUzAo1dYa9YBY61DS7/nnn9eIESO0//7769///rcWLVqkxx57TC6XS//5z39i3cawF154QTNmzNBtt92m9957T0cccYQmTpyoDRs2NFv/73//u6ZMmaJLL71U77//vs4++2ydffbZ+vjjj8N1fve73+kPf/iD5s6dq5UrV2q//fbTxIkTWUsn3rjdAQCQxuhLAQAA7Jt///vfeuedd+RwONSlSxd99tln2rFjR1xfk74UAMAMvz+29YD26FDS79JLL9Wdd96pV199VQceeKDGjx+vjz76SHl5eTryyCNj3MTd7r//fk2bNk1Tp07VsGHDNHfuXPXo0UPz5s1rtn55ebkKCwt1/fXXa+jQoZozZ46OPvpoPfjgg5KMu6nKysp08803q6ioSIcffrieeeYZff3113rllVfidh4QtzsAANIafSkAAICOu/vuuzVq1CiNHz9eH3/8sVatWqX3339fhx9+uFasWBG316UvBQAwIzc3tvWA9uhQ0u+9997TlVdeGVHWu3dvLVy4UA899FBMGra3Xbt26d1339W4cePCZRkZGRo3blyLHboVK1ZE1JekiRMnhuuvWbNG9fX1EXX2339/jRw5Mq6dxKQWCEjLlxu/L18ev5F23O4AAEhj9KUAAAA6rry8XK+88or++Mc/qlu3bho+fLhWrVolt9utgoKCuLwmfSkAgFkul+RwSDZb8/ttNik/36gHxFqXjjxpyJAhLe772c9+1uHGtGbjxo0KBALq169fRHm/fv306aefNvuc+vr6ZuvX19eH94fKWqrTnJ07d2rnzp3h7YaGBklSY2OjGhsbTZ5REnrtNemGG9S4ebM0b54aPR6pTx/pnnukM8+M7Wvl5Ejdu5url6QxDf1bW/rfPM6IkTnEyRziZA5xMifR8aEvlaJ9qf/hc2gOcWobMTKHOJlDnMwhTuYkOj4fffSRDjjggIiyzMxM3XvvvTrjjDPi8pr0pTo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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# y_axis_avg = df['y_axis'].mean()\n",
    "\n",
    "# # Print the result\n",
    "# print(f\"Average y_axis value: {y_axis_avg}\")\n",
    "\n",
    "# if y_axis_avg < 0:\n",
    "#     # Remove rows where y_axis > 0\n",
    "#     df_y = df[df['y_axis'] <= -y_axis_avg].reset_index(drop=True)\n",
    "#     removed = len(df) - len(df_y)\n",
    "#     print(f\"Removed {removed} rows where y_axis > 0.\")\n",
    "# else:\n",
    "#     df_y = df[df['y_axis'] >= -y_axis_avg].reset_index(drop=True)\n",
    "#     removed = len(df) - len(df_y)\n",
    "#     print(f\"Removed {removed} rows where y_axis < 0.\")\n",
    "\n",
    "y_axis_avg = df[\"y_axis\"].mean()\n",
    "print(f\"Average y_axis value: {y_axis_avg}\")\n",
    "\n",
    "df_y = df.copy()\n",
    "\n",
    "if y_axis_avg < 0:\n",
    "    condition = df_y[\"y_axis\"] > -y_axis_avg\n",
    "else:\n",
    "    condition = df_y[\"y_axis\"] < -y_axis_avg\n",
    "\n",
    "# Set values to NaN where the condition is met\n",
    "columns_to_clean = [\"x_axis\", \"y_axis\", \"z_axis\", \"angle\"]\n",
    "df_y.loc[condition, columns_to_clean] = np.nan\n",
    "\n",
    "# Report how many rows were affected\n",
    "cleaned = condition.sum()\n",
    "print(f\"Cleaned {cleaned} rows where y_axis was outside the acceptable range.\")\n",
    "\n",
    "\n",
    "show_plots(df_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b1ff302d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average x_axis value: 0.08687444511457201\n",
      "Cleaned 14 rows where x_axis was outside the acceptable range.\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# x_axis_avg = df_y['x_axis'].mean()\n",
    "\n",
    "# # Print the result\n",
    "# print(f\"Average x_axis value: {x_axis_avg}\")\n",
    "\n",
    "# if x_axis_avg < 0:\n",
    "#     # Remove rows where y_axis > 0\n",
    "#     df_x = df_y[df_y['x_axis'] <= -x_axis_avg].reset_index(drop=True)\n",
    "#     removed = len(df_y) - len(df_x)\n",
    "#     print(f\"Removed {removed} rows where x_axis > 0.\")\n",
    "# else:\n",
    "#     df_x = df_y[df_y['x_axis'] >= -x_axis_avg].reset_index(drop=True)\n",
    "#     removed = len(df_y) - len(df_x)\n",
    "#     print(f\"Removed {removed} rows where x_axis < 0.\")\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x_axis_avg = df_y[\"x_axis\"].mean()\n",
    "print(f\"Average x_axis value: {x_axis_avg}\")\n",
    "\n",
    "df_x = df_y.copy()\n",
    "\n",
    "if x_axis_avg < 0:\n",
    "    condition = df_x[\"x_axis\"] > -x_axis_avg + 0.1\n",
    "else:\n",
    "    condition = df_x[\"x_axis\"] < -x_axis_avg + 0.1\n",
    "\n",
    "# Set target columns to NaN where condition is met\n",
    "columns_to_clean = [\"x_axis\", \"y_axis\", \"z_axis\", \"angle\"]\n",
    "df_x.loc[condition, columns_to_clean] = np.nan\n",
    "\n",
    "# Report cleaned rows\n",
    "cleaned = condition.sum()\n",
    "print(f\"Cleaned {cleaned} rows where x_axis was outside the acceptable range.\")\n",
    "\n",
    "\n",
    "show_plots(df_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "63ec270d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_plots_with_regression(full_df, filtered_df, threshold):\n",
    "    # Drop rows with NaNs for regression fitting\n",
    "    reg_df = full_df.dropna(subset=[\"frame\", \"x_axis\", \"y_axis\"])\n",
    "\n",
    "    # Fit regression lines on clean data\n",
    "    x_model = LinearRegression()\n",
    "    y_model = LinearRegression()\n",
    "    x_model.fit(reg_df[[\"frame\"]], reg_df[\"x_axis\"])\n",
    "    y_model.fit(reg_df[[\"frame\"]], reg_df[\"y_axis\"])\n",
    "\n",
    "    # Predict over the same frames used in regression\n",
    "    frames = reg_df[\"frame\"].values.reshape(-1, 1)\n",
    "    x_line = x_model.predict(frames)\n",
    "    y_line = y_model.predict(frames)\n",
    "\n",
    "    # Compute prediction errors only on reg_df\n",
    "    x_error = np.abs(reg_df[\"x_axis\"].values - x_line)\n",
    "    y_error = np.abs(reg_df[\"y_axis\"].values - y_line)\n",
    "    is_outlier = (x_error > threshold) | (y_error > threshold)\n",
    "\n",
    "    # Create subplots (1 row, 3 columns)\n",
    "    fig, axes = plt.subplots(1, 3, figsize=(18, 5), sharex=True)\n",
    "\n",
    "    # X Axis plot\n",
    "    axes[0].scatter(\n",
    "        reg_df[\"frame\"][~is_outlier],\n",
    "        reg_df[\"x_axis\"][~is_outlier],\n",
    "        color=\"green\",\n",
    "        label=\"Kept\",\n",
    "    )\n",
    "    axes[0].scatter(\n",
    "        reg_df[\"frame\"][is_outlier],\n",
    "        reg_df[\"x_axis\"][is_outlier],\n",
    "        color=\"red\",\n",
    "        label=\"Outlier\",\n",
    "    )\n",
    "    axes[0].plot(\n",
    "        reg_df[\"frame\"], x_line, color=\"black\", linestyle=\"--\", label=\"Fit Line\"\n",
    "    )\n",
    "    axes[0].set_title(\"X Axis per Frame\")\n",
    "    axes[0].set_xlabel(\"Frame\")\n",
    "    axes[0].set_ylabel(\"x_axis\")\n",
    "    axes[0].set_ylim(-1.1, 1.1)\n",
    "    axes[0].grid(True)\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Y Axis plot\n",
    "    axes[1].scatter(\n",
    "        reg_df[\"frame\"][~is_outlier],\n",
    "        reg_df[\"y_axis\"][~is_outlier],\n",
    "        color=\"green\",\n",
    "        label=\"Kept\",\n",
    "    )\n",
    "    axes[1].scatter(\n",
    "        reg_df[\"frame\"][is_outlier],\n",
    "        reg_df[\"y_axis\"][is_outlier],\n",
    "        color=\"red\",\n",
    "        label=\"Outlier\",\n",
    "    )\n",
    "    axes[1].plot(\n",
    "        reg_df[\"frame\"], y_line, color=\"black\", linestyle=\"--\", label=\"Fit Line\"\n",
    "    )\n",
    "    axes[1].set_title(\"Y Axis per Frame\")\n",
    "    axes[1].set_xlabel(\"Frame\")\n",
    "    axes[1].set_ylabel(\"y_axis\")\n",
    "    axes[1].set_ylim(-1.1, 1.1)\n",
    "    axes[1].grid(True)\n",
    "    axes[1].legend()\n",
    "\n",
    "    # Z Axis plot (just show values from full_df)\n",
    "    axes[2].scatter(full_df[\"frame\"], full_df[\"z_axis\"], color=\"b\")\n",
    "    axes[2].set_title(\"Z Axis per Frame\")\n",
    "    axes[2].set_xlabel(\"Frame\")\n",
    "    axes[2].set_ylabel(\"z_axis\")\n",
    "    axes[2].set_ylim(-1.1, 1.1)\n",
    "    axes[2].grid(True)\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2eeb63ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_outliers(df, threshold=0.50):\n",
    "    df = df.copy()\n",
    "\n",
    "    # Identify rows where x_axis and y_axis are valid\n",
    "    valid_mask = df[\"x_axis\"].notna() & df[\"y_axis\"].notna()\n",
    "\n",
    "    # Subset for regression\n",
    "    valid_df = df[valid_mask]\n",
    "\n",
    "    # Fit a line to x_axis vs frame\n",
    "    x_model = LinearRegression()\n",
    "    x_model.fit(valid_df[[\"frame\"]], valid_df[\"x_axis\"])\n",
    "    x_pred = x_model.predict(valid_df[[\"frame\"]])\n",
    "\n",
    "    # Fit a line to y_axis vs frame\n",
    "    y_model = LinearRegression()\n",
    "    y_model.fit(valid_df[[\"frame\"]], valid_df[\"y_axis\"])\n",
    "    y_pred = y_model.predict(valid_df[[\"frame\"]])\n",
    "\n",
    "    # Compute errors only for valid rows\n",
    "    x_error = np.abs(valid_df[\"x_axis\"] - x_pred)\n",
    "    y_error = np.abs(valid_df[\"y_axis\"] - y_pred)\n",
    "\n",
    "    # Mask of values within threshold\n",
    "    within_threshold = (x_error <= threshold) & (y_error <= threshold)\n",
    "\n",
    "    # Set outliers in original DataFrame to NaN\n",
    "    outlier_indices = valid_df.index[~within_threshold]\n",
    "    df.loc[outlier_indices, [\"x_axis\", \"y_axis\", \"z_axis\", \"angle\"]] = np.nan\n",
    "\n",
    "    # Report\n",
    "    print(\n",
    "        f\"Cleaned {len(outlier_indices)} outlier rows based on threshold {threshold}.\"\n",
    "    )\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bcf69b64",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cleaned 0 outlier rows based on threshold 0.5.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "threshold = 0.5\n",
    "fil_df = remove_outliers(df_x, threshold)\n",
    "\n",
    "show_plots_with_regression(full_df=df_x, filtered_df=fil_df, threshold=threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6c486c48",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cleaned 6 outlier rows based on threshold 0.3.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "threshold = 0.3\n",
    "filt_df = remove_outliers(fil_df, threshold)\n",
    "\n",
    "show_plots_with_regression(full_df=fil_df, filtered_df=filt_df, threshold=threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dfb9f812",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cleaned 0 outlier rows based on threshold 0.3.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/davic/projects/IACV_project/bowling-analysis/.venv/lib/python3.12/site-packages/sklearn/utils/validation.py:2739: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "threshold = 0.3\n",
    "filtered_df = remove_outliers(filt_df, threshold)\n",
    "\n",
    "show_plots_with_regression(\n",
    "    full_df=filt_df, filtered_df=filtered_df, threshold=threshold\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d4e08b31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_plots(filtered_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e5ca1341",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.head of      frame   x   y  radius  x_axis  y_axis  z_axis  angle\n",
       "0        0 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "1        1 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "2        2 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "3        3 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "4        4 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "..     ...  ..  ..     ...     ...     ...     ...    ...\n",
       "150    150 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "151    151 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "152    152 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "153    153 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "154    154 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "\n",
       "[155 rows x 8 columns]>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filtered_df.head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4877f76e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def interpolate_axes_from_b(A, B):\n",
    "    # Ensure 'frame' column exists in both\n",
    "    if \"frame\" not in A.columns or \"frame\" not in B.columns:\n",
    "        raise ValueError(\"Both CSVs must contain a 'frame' column.\")\n",
    "\n",
    "    # Identify frames in B where x and y are not NaN\n",
    "    valid_frames = B.dropna(subset=[\"x\", \"y\"])[\"frame\"].unique()\n",
    "\n",
    "    # Make a copy to avoid modifying the original\n",
    "    A_interp = A.copy()\n",
    "\n",
    "    # Create a mask for valid frames in A\n",
    "    valid_mask = A_interp[\"frame\"].isin(valid_frames)\n",
    "\n",
    "    for axis in [\"x_axis\", \"y_axis\", \"z_axis\"]:\n",
    "        # Work only with rows in A that correspond to valid frames\n",
    "        axis_series = A_interp.loc[valid_mask, axis]\n",
    "\n",
    "        # Interpolate based only on this subset\n",
    "        interpolated_values = axis_series.interpolate(\n",
    "            method=\"linear\", limit_direction=\"both\"\n",
    "        )\n",
    "\n",
    "        # Assign the interpolated values back\n",
    "        A_interp.loc[valid_mask, axis] = interpolated_values\n",
    "\n",
    "    return A_interp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "38786ce5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.head of      frame   x   y  radius  x_axis  y_axis  z_axis  angle\n",
       "0        0 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "1        1 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "2        2 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "3        3 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "4        4 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "..     ...  ..  ..     ...     ...     ...     ...    ...\n",
       "150    150 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "151    151 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "152    152 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "153    153 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "154    154 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "\n",
       "[155 rows x 8 columns]>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_original = pd.read_csv(INPUT_ORIGINAL_CSV)\n",
    "\n",
    "result_df = interpolate_axes_from_b(filtered_df, df_original)\n",
    "show_plots(result_df)\n",
    "result_df.head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ab635d4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1uE0bz70IU1Olm26SZs82Htc12VlCuSIAQMMLdh8/6cQN+LsvvlvLly1X79N6k/RDvaq+B6PjuEO2RFud9v+ruvfftWddq7U71nqsamts7+HqK/v2HNqj4fnDveJZn2U7q6pazrV6aVdKCQMAAJgTiT8AMCt/JT1DqWoSrnpCLtTnSNKkSVJenmci02aTcnKM0pyulY3JyVJ6ulGq8/LLg0t+tm8vFRZ6Xw8AgHpUtK2ozvv4SdyAR2QIdv8/195/tjk27T68290erWVAfZXttMZYfa7ss1qsDbKqz/Xzqro/oHSiXLAkr7FRShgAAMCcSPwBgBk5HKEt6elvVZ0r6SZ5J9dcK+78JepqO8fX82RlSTNn+k7wSb5Lc2ZleSYF27eXRo0y9jT0FR+LRWrd2uhTfdy5ucb1AAAIoapJgG92fxPQOdX3Uqt6A76ysrK+hgrUyt/+f4GomvSTorMMqK/kni3RphHdRmj22tleST6H0xHS57fIotbxrRXfJF47Dngn8aqXb6266rKmYwAAADAPEn8AYAZV9/FLTjYeB1Pe05X0io+v26o6yf+xmhJ1NZ3z8cdSebm0ZInUp8+Jc6zWuu+9V/2c3FxjNaS/sqFVk44uxcXGOfn5JP8AACHjKwkQiEXZi2SNsXIDHhGp+v5/ZYfKNGH5hDpfx1UGdNzfx+nUuFO169AuU73fAy3buaN8h2atnVXv43GtDH516Ks1JvGqlm+tqnppVwAAAJgTiT8AiHS+9vFr3bru13GV03z11ZoTfP6Sbv4ScjUl6mo6p3dvaelS42uoS2xmZRkJvOpxS0mRjhzxnfhzOo0YjR9vxIeynwCAk2TfZFf2ouw6lfFz7eOXkZZhisQHGq+qSSLHcYeeXfdsnfb+c3HKqR0Hdqj/3/q728xQAjRSynYerjjsbq9empMkHgAAQONE4g8AIpm/ffz27fPdvyZVy2lKdV9VZzbVS4C6Vkr27+//HKdT2r7dOCfa4wMAqFeO4w6NWzauzkk/iX38YD7B7v3nT9USoOEuP+lrv773v3vfZ1I/HGU7P97yscq/KteSkUvUp1Mf/nYAAACAxB8ARKyT2cfPYjFWt82fL+3a5b2qr7GovuIwLy+w80pK6mU4AIDGo2hbUZ3Le1ZfrQOYib+9/9oltPPa2682rhKgd314l8b9fZxX0quhVgP6WtWX0iJFR385Wu8r+wIt29n7tN5a+tVS9T6tN0k/AAAASCLxBwCRpepefmVlwe/jJxn73PXrF9rxmV1ycmD9ysqMJGFjTZgCAOqs+qqg4vLigM6bmj5VXdt1NdW+ZoA/1ff+S26RrF62Xjrj+TPqXAbUKaf2HvEuz+5aDfh29ttq26ytJGnNtjUnvdot0P36ig8E9rtdV1aL1WPFIGU7AQAAECwSfwAQKXzt5ReI1q09S39WL+mJE9LTjfgUF/tfSWm1ShMmnHhssxlJVOIJAPDD16qgtgltAzq3X+d+3NBHVKm6959LKMuAus4fsXiEmlqaKu+8PA1ZOERtTmnjXgnoqzynNcbqt70h9+urHgPXyr68YXlq17xd2EqaAgAAIHqQ+AOASOBvL79ALFpkJKtc+9ixQs0/q9VI4mVnGysjfcXbUW1vluJio39+Psk/AIAX+ya7z72+9hzeU+N5FllkS7Qp/bT0+hweEBH8lQE9GQ6nQ//LmUk6sRJwUq9Jyvsqz+N5bIk2jeg2wm/77LWz63W/Pldyz9/YKPELAACAUCLxBwDhFuxefhaLsRotI4NEX11kZRlJvOqrK61W76SfZPxcLBZp/HgpM5NYAwDcHMcdGrdsXK2rgvyt8MkZnMOKHjQa1cuAtm/eXqPeG6XiA3UrAeqP6xqz1s7yOrajfEed2k9WTWU7Z/ab6Xe/PgAAACAUSPwBQLgVFdW9vKdrH7+cHBJRwcjKMpJ4VfdTrFreszqnU9q+3eifkdFgwwQARLaibUUBrV5qm9BWuw/vdj9mhQ8aq+plQHOvDl0J0EgQSNlOX6VQAQAAgFAi8QcA4VZSUvdz2Mfv5FmtJ5J4eXmBnRPMzwoAEFWq7hH2ze5vAjpnzqA5SklMYYUPUI2/EqC2FjYd+eWI9h3ZF5EJQYssah3fWvFN4rXjAGU7AQAAEFlI/AFAQ3M4pDVrjO/XrJHatw/svDlzpA4d2MevPiQnB9avfXupsJD9FAGgkbJvsge1R1lKYgorfAA/qpcAdSXH3//u/YhcDeha1ffq0Fd9jpukPgAAAMKNxB8ANCS73dhbbu9eY5XZkCFS69ZSmzbSvn2+9/lz7eX329+SZKov6elGjIuL/f8MWreWRo3yLMtqs0m5uay8BIBGwL7JruxF2XVKQFhkkS3RpvTT0utxZID5+Sp/6W81YPX98+p9bDXs1yeJpD4AAAAiDok/AGgodruUnW0kluLjT7Tv3Hki2WSxeCae2MuvYVitRgIvO9v3z8DpNJK11RUXG+fk55P8A4Ao5jju0Lhl4+qc9JOknME5rAACguRrNeCeQ3s0PH94yJ+r+srCQPbrAwAAACJRTLgHAACNgsNhrPTztZrM6TSSS23aSCkpnsdsNpJKDSUry4h19Z9BSorxs/HF9fMcP974GQMAolLRtqI6l/e0JdqUPzyfvb6Ak+RaDTii+whlpGUo+9xs5Q/PV0qi55wtNTFVk3tNluV//wuEq+/kXpO9ruf6Hf71ub/2eH6SfgAAAIh0rPgDgIZQVORZIrI614qylSuN1WfsIRceWVlSZqbx83L9DBwOqX9//+c4ndL27cY5GRkNNlQAQMMpOVASUL+p6VPVtV1XVgUB9cy1EvDjLR+r/KtyLRm5RH069ZE1xqrLbZd7lQdNTUzVTd1uUt5XeR7tVct2zuw3k/36AAAAEBVI/AFAQygJ7Iahdu2SRoyo37GgZlarZwIvLy+w8wL9GQMAIp7juMMjAdC+efuAzuvXuR/7fQENxBpjVe/TemvpV0vV+7Te7iSdr/KgriReTck9X/sMAgAAAGZE4g8A6ovDcWLlWFlZYOckJ9fvmFB3gf5MysqMJCErNQHA1Oyb7F6rhVJapKhNfBvtO7LP5z5/FllkS7Qp/bT0hhwqAD/8JfFI7gEAAKAxIPEHAPXBbjf29Kta3tNq9b8PnMVi7OeXzg3DiJOebvxsiot979EoGT/bCRNOPLbZpNxc9mYEAJOxb7Ire1G2V3Jv54Gd7jaLLB7HXXuJ5QzOoSwgAAAAACDsYsI9AACIOna7lJ3tvadfTUk/ScrJYZVYJLJajSSedOJnVV31n21xsfEesNvrd2wAgJBxHHdo3LJxPlf0OeWURRa1iW+jlBYpHsdsiTblD89XVhc+7AEAAAAACD9W/AFAKDkcxko/fyvDJO/kns1mJP1YHRa5srKk/PzAV3E6nUaScPx4KTOThC4AmEDRtiKP8p7VOeXU3iN7tfLWlbLGWH3uEQYAAAAAQLiR+AOAUCoq8l7pV53DIc2caXy/ZInUpw+JITPIyjKSeFX3baxa3rM6p1Pavt3on5HRYMMEAATOcdyhom1FKjlQom92fxPQObsO7dKI7iPqeWQAAAAAAATHdKU+X3zxRaWlpalZs2bq0aOHNmzY4Lfv/PnzZbFYPP41a9bMo4/T6dSjjz6q5ORkxcfHq3///vr+++/r+2UAiFYlJYH1a9/e+Nq7N0k/M7FajSTeiBFShw6BnRPoewJoIMylAIN9k11puWnq+3pfjbSP1B+L/hjQecktkut5ZACASMZcCgAARDpTJf7efvttTZw4UY899pg+++wznX/++Ro0aJB27drl95zExESVlJS4//34448ex5955hn96U9/0ty5c7V+/Xo1b95cgwYN0tGjR+v75QCIRskB3gxMSqrfcaD+Bfqzbt9eKiyU8vKMr/72egQaAHMpwGDfZFf2ouwaS3tWZ5FFqYmpSj8tvR5HBgCIZMylAACAGZgq8ffcc89pzJgxGj16tLp27aq5c+cqISFB8+bN83uOxWJRUlKS+1+HKis0nE6ncnJyNHXqVGVmZuq8887TG2+8oZ07d+q9995rgFcEwPQcDs+kTq9exp59Fovv/haLlJoq9ezZkKNEfUhPr/1n3aaNNGqU1LevNHKk8TUtTbLbG3KkgBtzKTRGjuMOFW4tVN6XeSrcWqhjvxzTuGXj5FQN+/FWY5Hxtz5ncA77+QFAI8ZcCgAAmIFpEn/Hjh3Tp59+qv79+7vbYmJi1L9/f61bt87veQcPHtTpp5+u1NRUZWZm6uuvv3Yf27Jli0pLSz2ueeqpp6pHjx41XhMAJBnJm7Q0z6TOGWcYZSAl74SQ63FODuU9o4HVKuXmGt/7+lk7ndLevd57PhYXS9nZJP/Q4JhLoTGqXs6z7+t9lTInpU4r/STJlmhT/vB8ZXXJqqeRAgAiHXMpAABgFk3CPYBA7dmzRw6Hw+OTUZLUoUMHffvttz7POfvsszVv3jydd955+vnnnzV79mz16tVLX3/9tWw2m0pLS93XqH5N1zFfKioqVFFR4X5cXl4uSaqsrFRlZaXf81zHauoT7YgBMZCiJAYffijdequR3ImPP9G+b5/04ovSgw9K+flGksfFZpOeekoaOjQ6YnCSoiIGQ4caP+cHH/T8WaekSEeOGO8HXywW6aGHVDlwoCSTx+Akmel9YIYx1oS5VHQgBv5j4Dju0Lod61R6sFRJpyRp7+G9uv292+WUU/ExJ/5bfejoIY/H/kzuNVnntD1HSackqaetp6wx1oiJO+8DYiARA4kYSOaKgRnGWBPmUtGBGBADiRhIxEAiBhIxkMwVg7qM0TSJv2D07NlTPauU0+vVq5e6dOmiV155RTNmzAj6ujNnztS0adO82lesWKGEhIRazy8oKAj6uaMFMSAGksljYLVKCxfW3Ofyy323L13q/tbUMQgR08fAapVmzw7u3FWrJEVBDELADDE4fPhwuIfQ4JhLRS5i4D8GCUpQucoVq1gtPK+W/1bX5KDxr1zlWv7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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "SMOOTHING_WINDOW = 10\n",
    "\n",
    "# Apply rolling average to smooth each axis\n",
    "smoothed_df = result_df.copy()\n",
    "smoothed_df[\"x_axis\"] = (\n",
    "    smoothed_df[\"x_axis\"]\n",
    "    .rolling(window=SMOOTHING_WINDOW, center=True, min_periods=1)\n",
    "    .mean()\n",
    ")\n",
    "smoothed_df[\"y_axis\"] = (\n",
    "    smoothed_df[\"y_axis\"]\n",
    "    .rolling(window=SMOOTHING_WINDOW, center=True, min_periods=1)\n",
    "    .mean()\n",
    ")\n",
    "smoothed_df[\"z_axis\"] = (\n",
    "    smoothed_df[\"z_axis\"]\n",
    "    .rolling(window=SMOOTHING_WINDOW, center=True, min_periods=1)\n",
    "    .mean()\n",
    ")\n",
    "\n",
    "# Smoothed result\n",
    "show_plots(smoothed_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "136f0acc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "span = 5\n",
    "\n",
    "# Exponential Moving Average (EMA)\n",
    "smoothed_df = result_df.copy()\n",
    "smoothed_df[\"x_axis\"] = smoothed_df[\"x_axis\"].ewm(span=span, adjust=False).mean()\n",
    "smoothed_df[\"y_axis\"] = smoothed_df[\"y_axis\"].ewm(span=span, adjust=False).mean()\n",
    "smoothed_df[\"z_axis\"] = smoothed_df[\"z_axis\"].ewm(span=span, adjust=False).mean()\n",
    "\n",
    "# Smoothed result\n",
    "show_plots(smoothed_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "16aa17e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage import gaussian_filter1d\n",
    "\n",
    "# Parameters\n",
    "sigma = 10\n",
    "\n",
    "# Copy and interpolate missing values\n",
    "smoothed_df = result_df.copy()\n",
    "smoothed_df[\"x_axis\"] = gaussian_filter1d(\n",
    "    smoothed_df[\"x_axis\"].interpolate(), sigma=sigma\n",
    ")\n",
    "smoothed_df[\"y_axis\"] = gaussian_filter1d(\n",
    "    smoothed_df[\"y_axis\"].interpolate(), sigma=sigma\n",
    ")\n",
    "smoothed_df[\"z_axis\"] = gaussian_filter1d(\n",
    "    smoothed_df[\"z_axis\"].interpolate(), sigma=sigma\n",
    ")\n",
    "\n",
    "# Smoothed result\n",
    "show_plots(smoothed_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "48fe1aac",
   "metadata": {},
   "outputs": [],
   "source": [
    "def nullify_invalid_frames(A, B):\n",
    "    # Identify frames in B where both x and y are NaN\n",
    "    invalid_frames = B[B[\"x\"].isna() & B[\"y\"].isna()][\"frame\"].unique()\n",
    "\n",
    "    # Copy A to avoid modifying original\n",
    "    A_modified = A.copy()\n",
    "\n",
    "    # Mask rows in A with frames that are invalid\n",
    "    mask = A_modified[\"frame\"].isin(invalid_frames)\n",
    "\n",
    "    # Set all columns x_axis, y_axis, z_axis, angle to NaN for those rows\n",
    "    A_modified.loc[mask, [\"x_axis\", \"y_axis\", \"z_axis\", \"angle\"]] = np.nan\n",
    "\n",
    "    return A_modified"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "11389fda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smoothed_df = nullify_invalid_frames(smoothed_df, df_original)\n",
    "\n",
    "show_plots(smoothed_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fbd58111",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>frame</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>radius</th>\n",
       "      <th>x_axis</th>\n",
       "      <th>y_axis</th>\n",
       "      <th>z_axis</th>\n",
       "      <th>angle</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   frame   x   y  radius  x_axis  y_axis  z_axis  angle\n",
       "0      0 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "1      1 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "2      2 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "3      3 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "4      4 NaN NaN     NaN     NaN     NaN     NaN    NaN"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smoothed_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e29f7ea6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def scale_x_axis(df):\n",
    "    df = df.copy()\n",
    "\n",
    "    # Get index and values of first and last valid x_axis\n",
    "    valid_x = df[\"x_axis\"].dropna()\n",
    "    if valid_x.empty:\n",
    "        return df  # nothing to scale\n",
    "\n",
    "    first_idx = valid_x.index[0]\n",
    "    last_idx = valid_x.index[-1]\n",
    "    x_start = valid_x.iloc[0]\n",
    "    x_end = 1 / valid_x.iloc[-1]\n",
    "    num_rows = last_idx - first_idx + 1\n",
    "\n",
    "    # Generate scale factors\n",
    "    scale_factors = np.linspace(x_start, x_end, num_rows)\n",
    "\n",
    "    # Apply scaling\n",
    "    df.loc[first_idx:last_idx, \"x_axis\"] = (\n",
    "        df.loc[first_idx:last_idx, \"x_axis\"] * scale_factors\n",
    "    )\n",
    "\n",
    "    return df\n",
    "\n",
    "\n",
    "def scale_y_axis(df):\n",
    "    df = df.copy()\n",
    "\n",
    "    # Get index and values of first and last valid y_axis\n",
    "    valid_y = df[\"y_axis\"].dropna()\n",
    "    if valid_y.empty:\n",
    "        return df  # nothing to scale\n",
    "\n",
    "    first_idx = valid_y.index[0]\n",
    "    last_idx = valid_y.index[-1]\n",
    "    y_start = 1\n",
    "    y_end = 0\n",
    "    num_rows = last_idx - first_idx + 1\n",
    "\n",
    "    # Generate scale factors from y_start to y_end\n",
    "    scale_factors = np.linspace(y_start, y_end, num_rows)\n",
    "\n",
    "    # Apply scaling\n",
    "    df.loc[first_idx:last_idx, \"y_axis\"] = (\n",
    "        df.loc[first_idx:last_idx, \"y_axis\"] * scale_factors\n",
    "    )\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0160f05f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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oo1VZWRk4BLm2tlYpKSmB/t99952mT5+uDRs2qG/fvjruuOP07rvvatiwYYE+v/vd77Rz505dfvnl2rZtm/Lz81VZWakePXp0+Ovr8txuaf36tu/3+aS6OqNfQUGHTQsAgGRBLoVkZU2xqryoXM5FTllkCSr+WWSRJJUVlUW8Ss9V45JzkTOkmFjvqZdzkVMVkyoo/gFAF0IuBQAAEkFCFf4kacaMGW1uoVBdXR10/cADD+iBBx7Y63gWi0Vz5szRnDlzYjVFRKuhIbb9AABACHIpJCtHnkMVkypaXZ1XVlQWcYHO2+RVSWVJqysIffLJIotKK0tVPLTY9Nt+AgBih1wKAACYXcIV/pDEmh1kHZN+AAAA6FIceQ4VDy2OyXl87lp3UAGxJZ98qvPUyV3rVkFuQTtmDQAAAABA7FD4g3nY7ZLNJtXXt37On8Vi3G+P/GwWAAAAdA3WFGtMCnEN28PbZSLcfgAAAAAAdISUfXcBOojVKpWXGz9bLMH3+a/Lyox+AAAAQBxl9Q5vl4lw+7XkbfKqel21Fn68UNXrquVt8kY1DgAAAAAAzbHiD+3n9Uput3H2XlaWsSIv2uKcwyFVVEglJdL6Zlsr2WxG0c8R2dksAAAAQDTsg+yyZdhU76lv9Zw/iyyyZdhkHxT5bhSuGlerZxGWF5VHfBYhAAAAAADNseIP7eNySbm5UmGhNGWKcZuba7RHy+GQ1q2Tli2TFiwwbteupegHAACADmNNsaq8yNiNwqLg3Sj812VFZRGfH+iqccm5yBlyfmC9p17ORU65atqRRwMAAAAAujwKf4ieyyU5ncEr8yTjjD6ns33FP6tVKiiQJk82btneEwAAAB3MkedQxaQKZWdkB7XbMmyqmFQR8eo8b5NXJZUlra4g9LeVVpay7ScAAAAAIGps9YnoeL3Gdpy+0A8t5PMZZ/KVlkrFxRTtAAAAkLAceQ4VDy2Wu9athu0NyuqdJfsge8Qr/STJXesOWenXnE8+1Xnq5K51qyC3oB2zBgAAAAB0VRT+EB23O3SlX3M+n1RXZ/QrKOiwaQEAAACxZk2xxqQQ17C9Iab9AAAAAABoia0+EZ2GMD+MCLcfAAAAkOSyemfFtF9L3iavVtSukCStqF3BlqEAAAAA0AVR+EN0ssL8MCLcfgAAAECSsw+yy5Zhk0WWVu+3yKKcjBzZB9kjHttV41Juea4mLJggSZqwYIJyy3PlqmnHudsAAAAAgIRD4Q/Rsdslm804y681FouUk2P0AwAAACBrilXlReWSFFL881+XFZVFfH6gq8Yl5yJnyPmB9Z56ORc5Kf4BAAAAQBdC4Q/RsVqlcuNDi5Din/+6rMzoBwAAAECS5MhzqGJShbIzsoPabRk2VUyqkCPPEdF43iavSipL5JMv5D5/W2llKdt+AgAAAEAX0a2zJ4AO5vVKbrdx9l5WlrEiL9rinMMhVVRIJSXS+mbfLrbZjKKfI7IPLQAAAICuwJHnUPHQYrlr3WrY3qCs3lmyD7JHvNJPkty17pCVfs355FOdp07uWrcKcgvaMWsAAAAAQCKg8NeVuFytF+nKy6Mv0jkcUnFx7IqJAAAAQBdgTbHGpBDXsL0hpv0AAAAAAImNwl9X4XJJTqfka7EFUH290V5REX3xz2qVCgraPUUAAAAAkcnqnRXTfi15m7wxWZkIAAAAAOgYFP66Aq/XWOnXsugnGW0Wi1RaaqzcY6UeAAAAkDDsg+yyZdhU76lv9Zw/iyyyZdhkH2SPeGxXjUsllSVBW4naMmwqLyqP+CxCAAAAAEDHSOnsCaADuN3B23u25PNJdXVGPwAAAAAJw5piVXlRuSSjyNec/7qsqCziVXquGpeci5wh5wfWe+rlXOSUq8bVjlkDAAAAAOKFwl9X0BDmeR7h9gMAAABgGo48hyomVSg7Izuo3ZZhU8WkiohX53mbvCqpLGl1BaG/rbSyVN4mb/STBgAAAADEBVt9dgVZYZ7nEW4/AAAAAKbiyHOoeGixlq9dLs8nHi2eslinHHJKVOfxuWvdISv9mvPJpzpPndy1bhXkFrRj1gAAAACAWGPFX1dgt0s2m3GWX2ssFiknx+gHAAAAICFZU6zKH5QvScoflB9V0U+SGraHtxNIuP0AAAAAAB2Hwl9XYLVK5ca5HyHFP/91WZnRDwAAAECXltU7vJ1Awu3XkrfJq+p11Vr48UJVr6tmy1AAAAAAiCG2+jQzr1dyu42z97KyjBV50RbnHA6pokIqKZHWN9u2x2Yzin6OyM79AAAAAJCc7IPssmXYVO+pb/WcP4sssmXYZB8U+Y4hrhqXSipLgrYStWXYVF5UHvFZhAAAAACAUKz4MyuXS8rNlQoLpSlTjNvcXKM9Wg6HtG6dtGyZtGCBcbt2LUU/AAAAAAHWFKvKi4wdQywK3jHEf11WVBbxVqKuGpeci5wh5wfWe+rlXOSUq6Yd/68DAAAAAJBE4c+cXC7J6QxemSdJ9fVGe3uKf1arVFAgTZ5s3LK9JwAAAIAWHHkOVUyqUHZGdlC7LcOmikkVEa/O8zZ5VVJZ0uoKQn9baWUp234CAAAAQDux1afZeL3Gdpy+0P8hls9nnMlXWioVF1O0AwAAABA3jjyHiocWy13rVsP2BmX1zpJ9kD3ilX6S5K51h6z0a84nn+o8dXLXulWQW9COWQMAAABA10bhz2zc7tCVfs35fFJdndGvoKDDpgUAAACg67GmWGNSiGvY3hDTfi15m7wxKVACAAAAQKKj8Gc2DWH+j264/QAAAACgk2X1zoppv+ZcNS6VVJYErSi0ZdhUXlQe8ZakAAAAAJDoOOPPbLLC/B/dcPsBAAAAQCezD7LLlmGTRZZW77fIopyMHNkH2SMa11XjknORM2Qb0XpPvZyLnHLVtON8dAAAAABIQBT+zMZul2w24yy/1lgsUk6O0Q8AAAAAEoA1xaryonJJCin++a/Lisoi2p7T2+RVSWWJfAo9H93fVlpZKm+TN9ppAwAAAEDCofBnNlarVG78D3FI8c9/XVZm9AMAAACABOHIc6hiUoWyM7KD2m0ZNlVMqoh4W053rTtkpV9zPvlU56mTu9Yd1XwBAAAAIBFxxp8ZORxSRYVUUiKtb/Y/sjabUfRzcE4FAAAAgMTjyHOoeGix3LVuNWxvUFbvLNkH2SNa6efXsD28c8/D7QcAAAAAyYDCn1k5HFJxseR2Sw0Nxpl+djsr/QAAAAAkNGuKVQW5Be0eJ6t3eOeeh9uvJW+TNyYFSgAAAADoSBT+zMxqlQoKOnsWAAAAAGA69kF22TJsqvfUt3rOn0UW2TJssg+K/Hx0V41LJZUlQVuJ2jJsKi8qj3hLUgAAAADoSJzxBwAAAABIONYUq8qLjPPRLQo+H91/XVZUFvEqPVeNS85FzpDzA+s99XIucspV42rHrAEAAAAgvij8AQAAAAASkiPPoYpJFcrOyA5qt2XYVDGpIuLVed4mr0oqS1pdQehvK60slbfJG/2kAQAAACCOEq7w99BDDyk3N1c9evTQyJEjtXr16jb7Pv7447Lb7erbt6/69u2rMWPGhPS/5JJLZLFYgv4UFRXF+2UAAAB0CnIpAMnGkefQupJ1WnbxMi1wLNCyi5dpbcnaqLbkdNe6Q1b6NeeTT3WeOrlr3e2ZMoAERi4FAADMLqEKfy+++KJmzpyp2267TR988IGOOuoojR8/Xps2bWq1f3V1tSZPnqxly5Zp5cqVysnJ0bhx41RfXx/Ur6ioSA0NDYE/Cxcu7IiXAwAA0KHIpQAkK2uKVQW5BZo8YrIKcgsi3t7Tr2F7Q0z7AUgu5FIAACARJFThb968eZo+fbqmTZumYcOGaf78+UpPT9eTTz7Zav/nn39eV199tY4++mgdfvjh+utf/6qmpiYtXbo0qF9aWpoyMzMDf/r27dsRLwcAAKBDkUsBwN5l9c6Kab+WvE1erahdIUlaUbuCLUOBBEMuBQAAEkHCFP727Nmj999/X2PGjAm0paSkaMyYMVq5cmVYY+zatUuNjY064IADgtqrq6vVv39/DR06VFdddZW2bNkS07kDAAB0NnIpANg3+yC7bBk2WWRp9X6LLMrJyJF9kD3isV01LuWW52rCggmSpAkLJii3PFeuGle75gygY5BLAQCARNGtsycQrs2bN8vr9WrAgAFB7QMGDNBnn30W1hg33nijBg4cGJSkFRUVyeFw6JBDDtFXX32lW265RaeffrpWrlwpq7X17WF2796t3bt3B649Ho8kqbGxMegW5kOMzI8YmR8xMj9iFB+J/n6SSyEWiJH5EaP2Kx9broteuUiScaafn78YWDa2TE3eJjV5m8Ie8/XPX9dFr1wkn3zqmdJTktQzpae27tiqiyouks6RJg6dGMNXgfbg31F8JPr7SS6FWCBG5keMzI8YmR8xio9I3s+EKfy11913360XXnhB1dXV6tGjR6D9/PPPD/w8YsQIHXnkkTr00ENVXV2t0aNHtzrWXXfdpdmzZ4e0L1u2TOnp6aqqqor9C0BMESPzI0bmR4zMjxjF1q5duzp7Cp2KXArNESPzI0bRs8qqBUcuaLvDV9IbX73R7jGfHN5sa8AoxkT88e8otsilyKXwM2JkfsTI/IiR+RGj2Iokl0qYwt9BBx0kq9WqjRs3BrVv3LhRmZmZe33sfffdp7vvvltvvfWWjjzyyL32HTx4sA466CB9+eWXbSZYN998s2bOnBm49ng8ysnJUWFhoVatWqWxY8cqNTU1zFeGjtTY2KiqqipiZGLEyPyIkfkRo/jwf5M6UZFLIRb4/WJ+xCh2vE1erVy/Uht2bFDmfpkaZRsla0rrq2/2ZkXtisD2npKx0u/J4U/q15/8Wj80/RBoXzxlsfIH5cdk7mgf/h3FB7kUuRT4/ZIIiJH5ESPzI0bxEUkulTCFv+7du+u4447T0qVLdfbZZ0tS4EDkGTNmtPm4P/3pT7rjjju0ZMkSHX/88ft8nvXr12vLli3Kymr7sPa0tDSlpaWFtPv/EqempvIX2uSIkfkRI/MjRuZHjGIr0d9LcinEEjEyP2LUfqlKVeGhhe0eZ8OuDUEFPr8fmn4Iat+wa0NUMfM2eeWudathe4OyemfJPsgeVYESofh3FFuJ/l6SSyGWiJH5ESPzI0bmR4xiK5L3MmEKf5I0c+ZMXXzxxTr++ON14oknqqysTDt37tS0adMkSVOnTlV2drbuuusuSdI999yjWbNmacGCBcrNzdWGDRskSfvtt5/2228/7dixQ7Nnz9a5556rzMxMffXVV/rd736nIUOGaPz48Z32OgEAAOKBXAoAOl5W77Y/vI+mX3OuGpdKKku03rM+0GbLsKm8qFyOPEfE4wHYO3IpAACQCBKq8Hfeeefp22+/1axZs7RhwwYdffTRqqysDBysXFtbq5SUlED/Rx55RHv27JHT6Qwa57bbbtPtt98uq9Wqjz76SM8884y2bdumgQMHaty4cZo7d26r35wCAABIZORSANDx7IPssmXYVO+pl0++kPstssiWYZN9kD2icV01LjkXOUPGrPfUy7nIqYpJFRT/gBgjlwIAAIkgoQp/kjRjxow2t1Corq4Oul63bt1ex+rZs6eWLFkSo5kBAACYH7kUAHQsa4pV5UXlci5yyiJL0H3+67Kisoi25/Q2eVVSWdJqIdEnnyyyqLSyVMVDi9n2E4gxcikAAGB2KfvuAgAAAAAAouXIc6hiUoWyM7KD2m0ZtqhW5rlr3UHbe7bkk091njq5a91RzRcAAABA4kq4FX8AAAAAACQaR55DxUOLtXztcnk+8WjxlMU65ZBTolqR17C9Iab9AAAAACQPVvwBAAAAANABrClW5Q/KlyTlD8qPehvOrN5ZMe3XkrfJq+p11Vr48UJVr6uWt8kb1TgAAAAAOh4r/gAAAAAASCD2QXbZMmyq99S3es6fRRbZMmyyD7JHPLarxqWSypKgrURtGTaVF5VHvCUpAAAAgI7Hij8AAAAAABKINcWq8qJySUaRrzn/dVlRWcQrCl01LjkXOUPOD6z31Mu5yClXjasdswYAAADQESj8AQAAAACQYBx5DlVMqlB2RnZQuy3DpopJFRGvzvM2eVVSWdLqCkJ/W2llKdt+AgAAACbHVp8AAAAAACQgR55DxUOL5a51q2F7g7J6Z8k+yB7V2YHuWnfISr/mfPKpzlMnd61bBbkF7Zg1AAAAgHii8AcAAAAAQIKyplhjUohr2N4Q034teZu8MSlQAgAAANg7Cn8AAAAAAHRxWb2zYtqvOVeNSyWVJUErCm0ZNpUXlUe8JSkAAACAveOMPwAAAAAAujj7ILtsGTZZZGn1fossysnIkX2QPaJxXTUuORc5Q7YRrffUy7nIKVeNK+o5AwAAAAhF4Q8AAAAAgC7OmmJVeVG5JIUU//zXZUVlEW3P6W3yqqSyRD75Qu7zt5VWlsrb5I122gAAAABaoPAHAAAAAADkyHOoYlKFsjOyg9ptGTZVTKqIeFtOd607ZKVfcz75VOepk7vWHdV8AQAAAITijD8AAAAAACDJKP4VDy2Wu9athu0NyuqdJfsge0Qr/fwatjfEtB8AAACAfaPwBwAAAAAAAqwpVhXkFrR7nKzeWTHt15K3yRuTAiUAAACQTCj8AQAAAACAmLMPssuWYVO9p77Vc/4sssiWYZN9kD3isV01LpVUlgRtJWrLsKm8qDziLUkBAACAZMIZfwAAAAAAIOasKVaVF5VLMop8zfmvy4rKIl6l56pxybnIGXJ+YL2nXs5FTrlqXO2YNQAAAJDYKPwBAAAAAIC4cOQ5VDGpQtkZ2UHttgybKiZVRLw6z9vkVUllSasrCP1tpZWl8jZ5o580AAAAkMDY6hMAAAAAAMSNI8+h4qHFMTmPz13rDlnp15xPPtV56uSudcfknEIAAAAg0VD4AwAAAAAAcWVNscakENewvSGm/VryNnm1onaFJGlF7QqdcsgpURUoAQAAgM7CVp8AAAAAACAhZPXOimm/5lw1LuWW52rCggmSpAkLJii3PJczAwEAAJBQoir8/fDDD9q1a1fg+uuvv1ZZWZnefPPNmE0MAAAgWZFLAQAQHfsgu2wZNllkafV+iyzKyciRfZA9onFdNS45FzlDthGt99TLuchJ8Q8AAAAJI6rCX3FxsZ599llJ0rZt2zRy5Ejdf//9Ki4u1iOPPBLTCQIAACQbcikAAKJjTbGqvKhckkKKf/7rsqKyiLbn9DZ5VVJZIp98Iff520orS+Vt8kY7bcRYXV2d1q//uUi7evVqlZaW6rHHHuvEWQEAAJhDVIW/Dz74QHa78e25iooKDRgwQF9//bWeffZZ/fnPf47pBAEAAJINuRQAANFz5DlUMalC2RnZQe22DJsqJlXIkeeIaDx3rTtkpV9zPvlU56mTu9Yd1XwRe1OmTNGyZcskSRs2bNDYsWO1evVq/f73v9ecOXM6eXYAAACdq1s0D9q1a5d69+4tSXrzzTflcDiUkpKik046SV9//XVMJwgAAJBsyKUAAGgfR55DxUOL5a51q2F7g7J6Z8k+yB7RSj+/hu0NMe2H+Pvkk0904oknSpIWLVqk4cOH6x//+IfefPNNXXnllZo1a1YnzxAAAKDzRLXib8iQIXr11VdVV1enJUuWaNy4cZKkTZs2KSMjI6YTBAAASDbkUgAAtJ81xaqC3AJNHjFZBbkFURX9JCmrd1ZM+7XkbfKqel21Fn68UNXrqtkyNAYaGxuVlpYmSXrrrbd01llnSZIOP/xwNTRQoAUAAF1bVIW/WbNm6frrr1dubq5GjhypUaNGSTK+sX7MMcfEdIIAAADJhlwKAADzsA+yy5ZhCzkz0M8ii3IycmQfZI94bFeNS7nluSp8plBTXFNU+Eyhcstz5apxtXfaXdoRRxyh+fPny+12q6qqSkVFRZKkb775RgceeGAnzw4AAKBzRVX4czqdqq2t1XvvvafKyspA++jRo/XAAw/EbHIAAADJiFwKAADzsKZYVV5ULkkhxT//dVlRWcQrCl01LjkXOUPOD6z31Mu5yEnxrx3uuecePfrooyooKNDkyZN11FFHSZJee+21wBagAAAAXVVUZ/xJUmZmpjIzM4PaSK4AAADCQy4FAIB5OPIcqphUoZLKEm3ZsSXQbsuwqayoTI48R0TjeZu8KqkskU++kPt88skii0orS1U8tDjqLUq7soKCAm3evFkej0d9+/YNtF9++eVKT0/vxJkBAAB0vrALfw6HQ08//bQyMjLkcOw94XW5+NYaAABAc+RSAACYmyPPoeKhxVq+drk8n3i0eMpinXLIKVEV5ty17pCVfs355FOdp07uWrcKcgvaMeuuy2q1BhX9JCk3N7dzJgMAAGAiYRf+9t9/f1kslsDPAAAACB+5FAAA5mdNsSp/UL7e+OQN5Q/Kj3o1XsP2hpj2a8nb5JW71q2G7Q3K6p0l+yB70q8cPPbYY7V06VL17dtXxxxzTCCvas0HH3zQgTMDAAAwl7ALf0899VSrPwMAAGDfyKUAAOg6snpnxbRfc64al0oqS4JWFNoybCovKo94S9JEUlxcrLS0NEnS2Wef3bmTAQAAMLGozvj77LPPdPjhh7d635IlSzR+/Ph2TQoAACCZkUsBAJDc7IPssmXYVO+pb/WcP4sssmXYZB9kj2hcV41LzkXOkDHrPfVyLnKqYlJF0hb/brvttlZ/BgAAQLCUaB507LHH6qGHHgpq2717t2bMmKHi4uKYTAwAACBZkUsBAJDcrClWlReVSzKKfM35r8uKyiLantPb5FVJZUmrhUR/W2llqbxN3minnTCWLVvW5n2PPvpoB84EAADAfKIq/D399NOaNWuWzjjjDG3cuFFr1qzRMccco7feektutzvWcwQAAEgq5FIAACQ/R55DFZMqlJ2RHdRuy7BFtTLPXesO2t6zJZ98qvPUyV2b/LlEUVGRbrjhBjU2NgbaNm/erIkTJ+qmm27qxJkBAAB0vqgKf5MmTdK//vUvNTY26ogjjtCoUaN06qmn6oMPPtAJJ5wQ6zkCAAAkFXIpAAC6BkeeQ+tK1mnZxcu0wLFAyy5eprUla6PajrNhe0NM+yWyZcuW6ZVXXtEJJ5ygf//731q8eLGGDx8uj8ejNWvWdPb0AAAAOlVUhT+/PXv2yOv1yuv1KisrSz169IjVvNr00EMPKTc3Vz169NDIkSO1evXqvfZ/6aWXdPjhh6tHjx4aMWKE3njjjaD7fT6fZs2apaysLPXs2VNjxozRF198Ec+XAAAAIIlcCgCArsCaYlVBboEmj5isgtyCiLb3bC6rd1ZM+7XkbfKqel21Fn68UNXrqk29ZejJJ5+sNWvWaPjw4Tr22GN1zjnn6LrrrlN1dbUOPvjguD43uRQAADC7qAp/L7zwgkaMGKH9999f//nPf7R48WI99thjstvt+u9//xvrOQa8+OKLmjlzpm677TZ98MEHOuqoozR+/Hht2rSp1f7vvvuuJk+erEsvvVQffvihzj77bJ199tn65JNPAn3+9Kc/6c9//rPmz5+vVatWqVevXho/frx+/PHHuL0OAADQtZFLAQCASNkH2WXLsIWcGehnkUU5GTmyD7JHPLarxqXc8lwVPlOoKa4pKnymULnluXLVuNo77bj5z3/+o/fee082m03dunXT559/rl27dsX1OcmlAABAIoiq8HfppZfqzjvv1GuvvaZ+/fpp7Nix+vjjj5Wdna2jjz46xlP82bx58zR9+nRNmzZNw4YN0/z585Wenq4nn3yy1f7l5eWBfd/z8vI0d+5cHXvssXrwwQclGd+qKisr06233qri4mIdeeSRevbZZ/XNN9/o1VdfjdvrAAAAXRu5FAAAiJQ1xaryonJJCin++a/LisoiXlHoqnHJucgZcn5gvadezkVOUxb/7r77bo0aNUpjx47VJ598otWrV+vDDz/UkUceqZUrV8btecmlAABAIoiq8PfBBx/oqquuCmrr27evFi1apIceeigmE2tpz549ev/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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_scaled = scale_x_axis(smoothed_df)\n",
    "df_scaled = scale_y_axis(df_scaled)\n",
    "\n",
    "show_plots(df_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "95b77a6b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_z_axis_from_xy(df):\n",
    "    df = df.copy()\n",
    "\n",
    "    # Compute 1 - x^2 - y^2\n",
    "    squared_sum = df[\"x_axis\"] ** 2 + df[\"y_axis\"] ** 2\n",
    "    z_values = 1 - squared_sum\n",
    "\n",
    "    # Handle invalid values (e.g., where 1 - x^2 - y^2 < 0)\n",
    "    z_values[z_values < 0] = np.nan\n",
    "\n",
    "    # Calculate z = sqrt(1 - x^2 - y^2)\n",
    "    if y_axis_avg < 0:\n",
    "        df[\"z_axis\"] = np.sqrt(z_values)\n",
    "    else:\n",
    "        df[\"z_axis\"] = -np.sqrt(z_values)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2afaab84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_processed = compute_z_axis_from_xy(df_scaled)\n",
    "\n",
    "show_plots(df_processed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "64b24fd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.head of      frame   x   y  radius  x_axis  y_axis  z_axis  angle\n",
       "0        0 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "1        1 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "2        2 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "3        3 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "4        4 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "..     ...  ..  ..     ...     ...     ...     ...    ...\n",
       "150    150 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "151    151 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "152    152 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "153    153 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "154    154 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "\n",
       "[155 rows x 8 columns]>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_processed.head"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b92375b0",
   "metadata": {},
   "source": [
    "### Post-processing angle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "9dcb650a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_angle_over_index(df, title=\"Angle Over Index\"):\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    plt.plot(df.index, df[\"angle\"], label=\"Angle\", color=\"blue\")\n",
    "    plt.title(title)\n",
    "    plt.xlabel(\"Index\")\n",
    "    plt.ylabel(\"Angle (rad)\")\n",
    "    plt.grid(True)\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "e9836a3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_outliers(series, threshold=1):\n",
    "    # Apply an outlier removal using z-score\n",
    "    mean = series.mean()\n",
    "    std = series.std()\n",
    "    z_scores = (series - mean) / std\n",
    "    outliers_z = (\n",
    "        abs(z_scores) > threshold\n",
    "    )  # Consider values with z-score > threshold as outliers\n",
    "    series[outliers_z] = np.nan\n",
    "\n",
    "    return series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "552412f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth_series(series, first_valid_index, last_valid_index, window=5):\n",
    "    # Copia per non modificare l'originale\n",
    "    smoothed = series.copy()\n",
    "\n",
    "    # Applichi il rolling solo tra i validi\n",
    "    rolled = (\n",
    "        series[first_valid_index : last_valid_index + 1]\n",
    "        .rolling(window=window, center=True)\n",
    "        .mean()\n",
    "    )\n",
    "\n",
    "    # Interpolazione per stimare i bordi più precisamente\n",
    "    rolled = (\n",
    "        rolled.interpolate(method=\"cubic\", limit_direction=\"both\")\n",
    "        .fillna(method=\"bfill\")\n",
    "        .fillna(method=\"ffill\")\n",
    "    )\n",
    "\n",
    "    smoothed[first_valid_index : last_valid_index + 1] = rolled\n",
    "\n",
    "    # Rimetti i valori smussati nella serie originale\n",
    "    series.loc[first_valid_index:last_valid_index] = smoothed\n",
    "    return series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "baa509cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_angle_over_index(df, title=\"raw\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "32dd96c5",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_1003/3499710534.py:7: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  series[outliers_z] = np.nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove outliers\n",
    "df[\"angle\"] = remove_outliers(df[\"angle\"], threshold=0.5)\n",
    "plot_angle_over_index(df, title=\"outliers removed\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "29f585e6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "First valid index: 76, Last valid index: 137\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Find the first and last non-NaN indices\n",
    "first_valid_index = df_processed[\"x\"].first_valid_index()\n",
    "last_valid_index = df_processed[\"x\"].last_valid_index()\n",
    "print(f\"First valid index: {first_valid_index}, Last valid index: {last_valid_index}\")\n",
    "# Only interpolate between them\n",
    "df.loc[first_valid_index:last_valid_index, \"angle\"] = df.loc[\n",
    "    first_valid_index:last_valid_index, \"angle\"\n",
    "].interpolate(method=\"linear\", limit_direction=\"both\")\n",
    "plot_angle_over_index(df, title=\"interpolated\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4b925844",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_1003/4293600903.py:11: FutureWarning: Series.fillna with 'method' is deprecated and will raise in a future version. Use obj.ffill() or obj.bfill() instead.\n",
      "  rolled = rolled.interpolate(method='cubic', limit_direction='both').fillna(method='bfill').fillna(method='ffill')\n",
      "/tmp/ipykernel_1003/4293600903.py:16: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  series.loc[first_valid_index:last_valid_index] = smoothed\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Smooth the data\n",
    "df[\"angle\"] = smooth_series(df[\"angle\"], first_valid_index, last_valid_index, window=25)\n",
    "\n",
    "plot_angle_over_index(df, title=\"Smoothed Angle Over Index\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0c0e7a84",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_1003/4293600903.py:11: FutureWarning: Series.fillna with 'method' is deprecated and will raise in a future version. Use obj.ffill() or obj.bfill() instead.\n",
      "  rolled = rolled.interpolate(method='cubic', limit_direction='both').fillna(method='bfill').fillna(method='ffill')\n",
      "/tmp/ipykernel_1003/4293600903.py:16: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  series.loc[first_valid_index:last_valid_index] = smoothed\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Smooth the data\n",
    "df[\"angle\"] = smooth_series(df[\"angle\"], first_valid_index, last_valid_index, window=25)\n",
    "\n",
    "plot_angle_over_index(df, title=\"Smoothed Angle Over Index\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "cc213260",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.head of      frame   x   y  radius  x_axis  y_axis  z_axis  angle\n",
       "0        0 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "1        1 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "2        2 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "3        3 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "4        4 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "..     ...  ..  ..     ...     ...     ...     ...    ...\n",
       "150    150 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "151    151 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "152    152 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "153    153 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "154    154 NaN NaN     NaN     NaN     NaN     NaN    NaN\n",
       "\n",
       "[155 rows x 8 columns]>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_processed[\"angle\"] = df[\"angle\"]\n",
    "df_processed.head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e2e9f282",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved rotation data to /home/davic/projects/IACV_project/bowling-analysis/notebook/spin/intermediate_data/Rotation_data_processed_5.csv\n"
     ]
    }
   ],
   "source": [
    "OUTPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"spin\"\n",
    "    / \"intermediate_data\"\n",
    "    / f\"Rotation_data_processed_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "df_processed.to_csv(OUTPUT_CSV_PATH, index=False)\n",
    "print(f\"Saved rotation data to {OUTPUT_CSV_PATH}\")"
   ]
  }
 ],
 "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": 5
}
