{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Detection - **Post-processing**\n",
    "\n",
    "**Content**\n",
    "\n",
    "- `clear_outside_frame_range` to remove the background off the track\n",
    "- `remove_outliers`\n",
    "- `interpolate_missing_coordinates` with `median_filter` and `Savitzky_Golay_filter`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "\n",
    "import pandas as pd\n",
    "from scipy.signal import medfilt\n",
    "from scipy.signal import savgol_filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Auxiliary data and functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trajectory(df):\n",
    "    plt.figure(figsize=(3, 6))\n",
    "    plt.plot(df[\"x\"], -df[\"y\"], \"o-\", label=\"Cleaned Trajectory\", markersize=5)\n",
    "    plt.xlabel(\"X Coordinate\")\n",
    "    plt.ylabel(\"Y Coordinate\")\n",
    "    plt.title(\"Cleaned Ball Trajectory\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trajectories(raw_df, cleaned_df):\n",
    "    # Create a figure with two subplots side by side\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(6, 6))\n",
    "\n",
    "    # Plot the original (raw) data on the left subplot\n",
    "    axes[0].plot(raw_df[\"x\"], -raw_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5)\n",
    "    axes[0].set_title(\"Previous Ball Trajectory\")\n",
    "    axes[0].set_xlabel(\"X Coordinate\")\n",
    "    axes[0].set_ylabel(\"Y Coordinate\")\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Plot the cleaned data on the right subplot\n",
    "    axes[1].plot(\n",
    "        cleaned_df[\"x\"], -cleaned_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5\n",
    "    )\n",
    "    axes[1].set_title(\"Processed Ball Trajectory\")\n",
    "    axes[1].set_xlabel(\"X Coordinate\")\n",
    "    axes[1].set_ylabel(\"Y Coordinate\")\n",
    "    axes[1].legend()\n",
    "\n",
    "    # Adjust layout for better appearance\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_comparison(df, df_cleaned):\n",
    "    # Create a mask identifying outlier rows (i.e. those with NaN in x or y in the cleaned version)\n",
    "    outlier_mask = df_cleaned[[\"x\", \"y\"]].isna().any(axis=1)\n",
    "\n",
    "    # Create a figure with two side-by-side subplots\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(6, 6))\n",
    "\n",
    "    # Plot 1: Original Data with Outliers Highlighted\n",
    "    # Plot valid points from the original data (non-outliers)\n",
    "    axes[0].plot(\n",
    "        df.loc[~outlier_mask, \"x\"],\n",
    "        -df.loc[~outlier_mask, \"y\"],\n",
    "        \"o-\",\n",
    "        label=\"Valid Points\",\n",
    "        color=\"blue\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    # Overlay the outliers in red\n",
    "    axes[0].plot(\n",
    "        df.loc[outlier_mask, \"x\"],\n",
    "        -df.loc[outlier_mask, \"y\"],\n",
    "        \"o\",\n",
    "        label=\"Outliers\",\n",
    "        color=\"red\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    axes[0].set_xlabel(\"X Coordinate\")\n",
    "    axes[0].set_ylabel(\"Y Coordinate\")\n",
    "    axes[0].set_title(\"Original Points with Outliers Highlighted\")\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Plot 2: Cleaned Data\n",
    "    # Plot only the non-NaN points from the cleaned DataFrame (which are the valid ones)\n",
    "    valid_cleaned = df_cleaned.dropna(subset=[\"x\", \"y\"])\n",
    "    axes[1].plot(\n",
    "        valid_cleaned[\"x\"],\n",
    "        -valid_cleaned[\"y\"],\n",
    "        \"o-\",\n",
    "        label=\"Cleaned Trajectory\",\n",
    "        color=\"green\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    axes[1].set_xlabel(\"X Coordinate\")\n",
    "    axes[1].set_ylabel(\"Y Coordinate\")\n",
    "    axes[1].set_title(\"Cleaned Points Only\")\n",
    "    axes[1].legend()\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_lines_on_frame(row, ax=None):\n",
    "    bl = np.array([row[\"bottom_left_x\"], row[\"bottom_left_y\"]])\n",
    "    br = np.array([row[\"bottom_right_x\"], row[\"bottom_right_y\"]])\n",
    "    ul = np.array([row[\"up_left_x\"], row[\"up_left_y\"]])\n",
    "    ur = np.array([row[\"up_right_x\"], row[\"up_right_y\"]])\n",
    "\n",
    "    mid_bottom = (bl + br) / 2\n",
    "    mid_upper = (ul + ur) / 2\n",
    "    lifted_mid = mid_bottom + (mid_upper - mid_bottom) / 5\n",
    "\n",
    "    # Direction vector along bottom line\n",
    "    dir_vector = br - bl\n",
    "    dir_vector = dir_vector / np.linalg.norm(dir_vector)\n",
    "\n",
    "    # Create new lifted line endpoints\n",
    "    p1 = lifted_mid - 200 * dir_vector\n",
    "    p2 = lifted_mid + 200 * dir_vector\n",
    "\n",
    "    # Create plot\n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "    # Plot bottom line\n",
    "    ax.plot([bl[0], br[0]], [bl[1], br[1]], \"b-\", label=\"Bottom Line\")\n",
    "\n",
    "    # Plot up line\n",
    "    ax.plot([ul[0], ur[0]], [ul[1], ur[1]], \"g-\", label=\"Up Line\")\n",
    "\n",
    "    # Plot lifted (new) line\n",
    "    ax.plot([p1[0], p2[0]], [p1[1], p2[1]], \"r--\", label=\"New (Lifted) Line\")\n",
    "\n",
    "    # Optionally plot ball position\n",
    "    if not np.isnan(row[\"x\"]) and not np.isnan(row[\"y\"]):\n",
    "        ax.plot(row[\"x\"], row[\"y\"], \"ro\", label=\"Ball\")\n",
    "\n",
    "    # ax.set_aspect('equal')\n",
    "    ax.invert_yaxis()  # Invert if image coordinate system\n",
    "    ax.legend()\n",
    "    ax.set_title(f\"Lines on Frame {row['frame']}\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clean the points before a certain frame and after another one"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I want to remove the points that cannot be the first ones. The first point must be upper a certain line and below another one, if the first are not in this range delete them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Example usage\n",
    "VIDEO_NUMBER = \"2\"\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "CSV_POSITIONS_FILE_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"reconstructed_positions\"\n",
    "    / f\"Transformed_positions_raw_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "# CSV_OUTPUT_CLEANED_PATH = str(PROJECT_ROOT / \"notebook\" / \"ball_detection\" / \"intermediate_data\" / f\"Circle_positions_nooutliers_{VIDEO_NUMBER}.csv\")\n",
    "\n",
    "df_ball = pd.read_csv(CSV_POSITIONS_FILE_PATH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uoo3SKEDqwdOnT+Hl5VXd1SCEqJGQkABPT0+l+ylA6oFseFVCQgI/pI0QUnNIJBJ4eXmpHQpJAVIPZJfVYrGYAiQhNZi6W2DUSUMIIUpQgCSEECUoQBJCiBIUIAkhRAkKkIQQogQFSEIIUYICJCGEKEEBkhBClKAASQghSlCAJIQQJShAEkKIEhQgCSFECQqQhBCiBAVIQghRgqY7I6SKxabmYH9kAhLT8+Bpb4HhAV7wc7Kq7moRBShAElKF9kcmYOGhaHAcB8YYOI7DD2ceYtXQFhgWQLPQ1zR0iU1IFYlNzcHCQ9GQMqBYyuT+XHAoGnGpOdVdRVIGBUhCqsj+yASlM1hzHId9kQlVXCOijtEEyLi4OEyaNAl+fn6wsLBAvXr1sGzZMhQUFMiVi46ORpcuXWBubg4vLy+sXr263LkOHDgAf39/mJubo3nz5vjrr7+q6mMQI5aYngfGmMJ9jDEkpudVcY2IOkYTIGNiYiCVSvHDDz/g1q1bWLduHbZs2YJPP/2ULyORSNCnTx/4+PjgypUrWLNmDZYvX46tW7fyZS5evIhRo0Zh0qRJuHbtGgYPHozBgwfj5s2b1fGxiBHxtLdQ2YL0tLeo4hoRdTim7L80I7BmzRp8//33ePToEQDg+++/x+LFi5GUlAQzMzMAwMKFC3HkyBHExMQAAEaMGIGcnBwcPXqUP88bb7yBVq1aYcuWLRq9r0Qiga2tLTIzM2nRLsKLTc1Br7WnIVXwixNwQPjc7vCl3uwqoelv1GhakIpkZmbCwcGBfx0REYGuXbvywREAgoKCcPfuXaSnp/NlevfuLXeeoKAgREREKH2f/Px8SCQSuQcxDrGpOVgVGoPpv1zDqtAYxFaiI8XPyQqrhraAgAOEAvmW5KqhLSg41kBGm+bz4MEDbNq0CV9//TW/LSkpCX5+fnLlXF1d+X329vZISkrit5Uuk5SUpPS9Vq5cic8++0yHtSc1gT5ScoYFeKGdrwP2RSbg1pNMnL2fCiEHdG3orOPaE12o8S3IhQsXguM4lQ/Z5bHMkydP0LdvXwwbNgxTpkzRex0XLVqEzMxM/pGQQL2Rhk6fKTm+TlZY0NcfuyZ1QHtfBxQz4OeIxzqsPdGVGt+CnDt3LoKDg1WWqVu3Lv/86dOn6NGjBzp27CjX+QIAbm5uSE5Oltsme+3m5qayjGy/IiKRCCKRSO1nIYaDT8lRcItelpKzoK9/pd9nYmdfXIpLw57/HuPjnvVhbiqs9DmJ7tT4AOns7AxnZ80uP548eYIePXqgbdu22LFjBwQC+QZyYGAgFi9ejMLCQpiamgIAwsLC0KhRI9jb2/NlTp48iVmzZvHHhYWFITAwUDcfiBiEqkrJebOJGzztLZCYnocj155gZHtvnZyX6EaNv8TW1JMnT9C9e3d4e3vj66+/RkpKCpKSkuTuHY4ePRpmZmaYNGkSbt26hX379mHDhg2YM2cOX2bmzJkIDQ3F2rVrERMTg+XLlyMyMhIff/xxdXwsUk1UpeRIGWAi0E0HjlDAYXygLwBg+4VYpUGZVA+jSfMJCQnBhAkTFO4r/RGjo6Mxbdo0XL58GU5OTpg+fToWLFggV/7AgQNYsmQJ4uLi0KBBA6xevRr9+vXTuC6U5mP4VKXkyHAABILXHTiMsQp14GTmFSJw5UnkFhRjz+QO6FTfqXKVJ2pp+hs1mgBZk1CANA4HIhOwoEwvNmMMjd3EuPVMcSpXRfMZl/1+EzsjHqOXvwt+Cm6ni+oTFTT9jdb4e5CEVJfSKTmyqclGBHhhX2QC7iRJFLYuNenAKT3dmY3IBAwMyZJ8AMDJmOeITc2h6c9qCAqQhKggS8kpTVUHjboOnNK5lVIpgyzGcq8eDMCS325gz5Q3Kl13UnlG00lDSFVR14FjbqL4Z1U2t7J0A5S9egDAhYcvMPan/yo9codUHgVIQrQ0PMBLZW/zkWtPsENBj7Sq6c7KOnc/FVvPPkKvtadxgKZBqzbUSaMH1Elj/JR14DRytcGdpCwAQE9/F6x5twUkL4uwPzIBv0c9xdMM7fMnBRywa2J7XHj4gr8X2rGeIy6Wek3LNmiHerGrEQXI2iEuNadcB46PoyV2RTzGir/uoKBIChtzE2TnF0FQ5p6jNgRcyaW78FVKEVDymuNe3busRIpRbUUBshpRgCR3nknw/s9XEJ+WW2XvSVOmaY6mOyOkGjV2FyOoqSs0u+OoG7Rsg+5Rmg8hepIkyVd5Se1hZ4Hur6Y5S5K8RHjM80q9Hy3boHsUIAnRE3V3r9p62+HLd5rzr8t2/MgS0WX5keooWraB1uCuHAqQhOjJw5RsrfaXHblzOTYNSZKXGr8fYwwjSnXS0BrclUf3IAnRk8y8IpX7MxTsl43c2TSqNf5vQBMAgKWZkF+mQcCVdMYAkLu/yXHyyzbQGty6QS1IQvTEVSxSmffoKlY9yXJQU1d42JrjaeZLzO/bCFkvi/hL5U71HHHh4Qv8djURSZJ8vNvGU65VWFUT/ho7CpCE6MmcNxti7E+XlO6f+2ZDlcebCAUY39EXK/+OwR9RT/H3zC5yI3E6N3BGG297TNkViaPRT5FbWAxvB0sMD/BCQloupErmaqtsZ05tuq9JAZIQPenSwBnDAzyxPzKx3L7hAZ7o3ED9TPkj23lj/T/3EZOUhYhHL9CxnvxckanZJbMA5RVK8deNZxBwHLaceQgrM6HSjp3KrMFd2+5r0j1IQvRo9bstsXtSe7T2toOHnQVae9th96T2WP1uS42Ot7U0xbttPQEA28/Hye2LTc3B4t9u8K+ZbBIMBmTnFys9Z9nOHE3Vxvua1IIkRM86N3DWqLWoTHAnX/z872OcjEnG4xc58HEsuZxVeZ8RQMd6joh49AIcx6H41eU2h4qvwb1fRRK6sd7XpBYkITVcPWdrdG/kDMaAkItx/HZVC4txHOBgLUL43O6Y2rUu3vBzAABYmQnxdksPrevAGMP5+ylKl6Aw1iR1akESYgAmdvLD6bspOBCZiDlvNoSNuenreSmV9FR72lvwaUNSKUOX1afwJCMPH++9CgszE5UdLKU7YpyszHA3OQs3niheZkKmovc1azIKkIQYgC4NnFDfxRoPnmdjf2QiJnX2w/AAL/xw5qHC8mXvMwoEHJp42OBJRh7+ufMcAg5KO1jkZj1njI+/qkb0SBnQqZ6jjj5tzUGX2IQYAI7jMLGTHwAg5GIsiqUMfk5WWDW0hVwSuezPsvcZY1NzcPLO67HeyjpYys16XioiqhruyHElM6EbG2pBEmIghrSug9XHY5CQlod/7iQjqKmb0oXFynbCaJo4rq7jR2nqEFSv1WOoKEASYiAszIQY3d4b351+iO3nYxHU1A2A4oXFylLVoVO6g0VVOUB5kKxMbmVNRpfYhBiQsYE+EAo4/BebhltPMzU+TtVCY6WDm6e9haLG46tyyluQFc2trOkoQBJiQNxtLdCvuTsAYMeFOI2PU7XQWOng5u1gqfJe44K+jeQmzADA3/NMSM/FkO8uoONX4Rjy3QWcu5+icf1qKgqQhBiYiZ18AQB/RD1FSla+RseU7tBRFNx8nayQV1CMb089AFByKa2o4+fD7vURPrc73u9WD7YWpgCAD7vXx6W4NIz96RKuxWfgaUYersVnYOxPlzD/4HVdfvQqR/cgCTEwrb3t0drbDtfiM7Dnv8eY1Vv1pBcysg6dkItxfML53ikd8EbdkvHdG8PvIzE9Dx625tg2PgB/Rj9T2PEju+dZx84CS47cxM6LsUqHNu6PTMTAlh6VGklUnagFSYgBkqX87P73MfKLlI+7LsvXyQrLBzZF+1cja24/LVmi9m5SFn48+wgA8NmgZmjiYcvPS7mgr7/CoYnSV5fsqsZ9A8DasHsa16+moQBJiAHq28wN7rbmSM0uwJ/Xn2l//Kse8NBbSZBKGT797QaKpAx9mrjizSauao+PTc3B8j9uafReyRLNbgPURBQgCTFApkIBxgX6AgB2XIhVu/5NWUHNSgLkpdg09Nt4Dlcep8PCVIDlA5tqdDyfL6kBdRMD12QUIAkxUKPae8HcVIBbTyW4FJum1bEXHqTyz2OSSi6zXxZK5baroi5fsjR1EwPXZBQgCTFQdpZmeKfNq7kiL8RqfJxsOGFZDJrP66gqr7K0dr72BttBA1CAJMSgTejoCwA4cTsZ8S9yNTpG1eWxbNihOqryKku78jgdcak5iE3NwarQGEz/5RpWhcYg1kAm16UASYgBa+Bqg64NS+aK3BkRp9Exmg47VKV0XqWqdiQD8MnB6+i19jS2nn2EY9FPsfXsI/RaexoHNAjE1Y0CJCEGTpY4vu9yArJeFqotr+mwQ3WGBXghfG531HOxVlqGMSAyLl3hMg3zD0ZjYsjlGt2ipABJiIHr2sAZ9ZytkJ1fhINXyi8QVpamww414etkhTebuEIo0KxHW+69AITHPMeW0w/R4+vTGPzthRoXLClAEmLgBAIOwfxckXFKl3uV0WYeSU2oux+pLnTKjoxKyMAPZx7WqMtvCpCEGIGhbepAbG6Cxy9yER7zXG152eXx1K510b+FB6Z2rYvwud0rtHSrqoDbo5EzBFq0LqUMNWqVRI5pm2FK1JJIJLC1tUVmZibEYnF1V4fUEiv/voMfzjxCx3qO2DvljSp//7jUnHIT9zIAvdaeVrrYlzJCAYepXevqbZVETX+jNFkFIUZiXKAvtp2LxcWHL3DnmQSN3av2P2dlE/euGtoCC16tcVOsYaSsKask0iU2IUaijp0F+r4aQrhDi8RxfSt9Oe/tYKnRMTVlhnIKkIQYEdksP0einuJFds2ZJELWutw5sb3aThvgdW96dSeY0yU2IUakjbcdWnrZ4XpCBvb+F4/pvRpU+pyl18hWtZa2JvycrLD63RaYf7BkqGPZC27hq2UdVg1tgUtxafzys4wxpcvU6hN10ugBddKQ6vR71BPM/DUKzjYiXFjQE2YmFb9QLL1GtixIMcYqHaRKd+jYiITYe6kkrSe4oy+CO/qq7NwRcED43O5apyOVpulv1CgvsfPz89GqVStwHIeoqCi5fdHR0ejSpQvMzc3h5eWF1atXlzv+wIED8Pf3h7m5OZo3b46//vqrimpOSOW91cwdrmIRUrLycezG0wqfp+wa2crW0q4I2SX3plGtsWJIc3779J714etkpZPx4rpglAFy/vz58PDwKLddIpGgT58+8PHxwZUrV7BmzRosX74cW7du5ctcvHgRo0aNwqRJk3Dt2jUMHjwYgwcPxs2bN6vyIxBSYWYmr+eK/Om89nNFylRHkIpPy8Wq0Bj8HvVUaY93VfZwG12A/Pvvv3HixAl8/fXX5fbt2bMHBQUF2L59O5o2bYqRI0dixowZ+Oabb/gyGzZsQN++fTFv3jw0btwYX3zxBdq0aYPNmzdX5ccgpFJGtfeGyESAm08kiHycXqFz6GJSC20N/f4itp59hGcZys9dlT3cRhUgk5OTMWXKFPz888+wtCyfThAREYGuXbvCzMyM3xYUFIS7d+8iPT2dL9O7d2+544KCghAREaH0ffPz8yGRSOQehFQnByszvNOmDgBg+/mKpfzoalILbcgu41W1eatyDW6jCZCMMQQHB+ODDz5AQECAwjJJSUlwdZVfb0P2OikpSWUZ2X5FVq5cCVtbW/7h5WV8C6gTwzPhVcrP8VtJSEzXbK7I0nQ5qYUuVGa8eEXV+AC5cOFCcByn8hETE4NNmzYhKysLixYtqvI6Llq0CJmZmfwjIaFmDLQntVtDVxt0ru8EKQN2RTzW+nhla2lzOg5S6nIbOQAedhaVGi9eUTU+D3Lu3LkIDg5WWaZu3boIDw9HREQERCL5BYICAgIwZswY7Ny5E25ubkhOTpbbL3vt5ubG/6mojGy/IiKRqNz7ElITTOzsi/MPUvHLpXjM7NUAViLtfvKytbT3RSbg+9MPAQCtvex0FqRkaUSqcBwwqJWH3sZlq1LjW5DOzs7w9/dX+TAzM8PGjRtx/fp1REVFISoqik/N2bdvH1asWAEACAwMxNmzZ1FY+HpS0bCwMDRq1Aj29vZ8mZMnT8rVISwsDIGBgVX0iQnRne4NXeDnZIWsl0U4dFX9XJGKlB1jfTU+Qyd1K51GpIqUAdfi06tlJE2ND5Ca8vb2RrNmzfhHw4YlK6nVq1cPnp4lCxuNHj0aZmZmmDRpEm7duoV9+/Zhw4YNmDNnDn+emTNnIjQ0FGvXrkVMTAyWL1+OyMhIfPzxx9XyuQipDIGAw4RXM47vuKB+rkhVPunzenXCwmJpZaum1dKx/z5Kww9nHqJnFU+sazQBUhO2trY4ceIEYmNj0bZtW8ydOxdLly7F1KlT+TIdO3bE3r17sXXrVrRs2RIHDx7EkSNH0KxZs2qsOSEVN7SNJ2zMTRCbmoPT99TPFanMpM51+ef7dZADqc3SsUBJS5KhaifWpaGGekBDDUlN8+Vfd7D17CN0aeCEnyd1qPB5fBceAwBYmglx+/O+larTqtAYbD37SOMp0BSp6LDDWj3UkBAib1ygDwQccO5+Ku4lZ1X4PP5uNgCA3ILiStdJ06VjVdH3sEMKkITUAp72lghqWvm5Iv9vQBP++bPMyo2kKbtUg/bLfgFSqX6HHVKAJKSWmNi5JHH88NUnSMspqNA5OtZz5J+vPXGv0nUqPZnugJYeGN3eG6Pbe6Onv4tGxzMAJ+8kY8h3F3Dufkql61MW3YPUA7oHSWoixhgGbr6AG08yMS+oEab1qF+h88juQwJA3Ff9dVW9cg5EJmDBoWgwVn7eSGWGB3hi9bst1Zaje5CEEDkcx2FiZ18AwK6IOBQUVSxVZ3QHb/55ZdKG1JG1LjVdpgEA9kcm4rwOW5IUIAmpRfo394CzjQjJknz8ffNZhc4xq9Qs5Wfu6f6ytjRfJys4WJupL1jK2rDKX/rLUIAkpBYxMxFg3Bs+AEpm+anIHTYXsTn//H/HbuusbsrYWWoXIJ/osNOGAiQhtczoDt4wMxHgemJmhYcN2lqYAgAepuh/NIu/mw00HHADAFqVVYcCJCG1jKO1CINblcy4v72CKT9L+jfmn2fmFaooWXnDA7y0SgGq6IJiilCAJKQWks0VGXozCU9UzN6tzKBWdfjnP1VwQl5NaZMvyQFo7W2vs/emAElILdTYXYyO9RxRLGXYFRGn9fGlV0rcePK+DmumWOl8yR4qciQZgMzcQp1NZEEBkpBaauKrVuQv/8Ujt6BI6+N7NHLmn1dFOrVs2rXtwe2w5t0WCluSHIB9kQk6m8iCAiQhtVRPfxf4OFpC8rIIh68+0fr4T4Ia8c9vPqnadZiGBXhhuIJJexl0tzQtQAGSkFpLIOAwoaMvgJLx2domfTdxfz0CZfXxGF1WTa15B6+rnaRCFxNZUIAkpBZ7N8ALNiITPEzJwVktR6CUnuz23P1UXVdNqXP3U3AgUv3s6LpYmpYCJCG1mLXIBMPblVyqbr8Qp/Xxc958Pcv4y8LKT4GmieV/3NKonC6WpqUASUgtF9zRFwIOOHsvBfe1nCty/KtLdAD47Zr29zErIj5NsyVsdbE0LQVIQmo5LwdLvNmkZC34HRfjtDpWNqIGAP53VP/DDjWlq/WzKUASQviUn8NXE5GRq91ckY1cS2YZz9HBLOOaUDe7j52Fqc7Wz6YASQhBez8HNPUQ42WhFL9c0q7nd+Fbr5eEjX+h2eVvZSwf2FTl/s2jW1e65ShDAZIQAo7j+OGHuyLitFrWtUsDJ/75t6ce6Lxu5d/PGcMDPBXuGx7gic4NnBXuqwgKkIQQAMDbLd3hZG2GZ5kvEXozSePjTISvw4g+F9AqbfW7LTHy1SW0gANcxSJ8PayFRrOJa4MCJCEEACAyEeI92VyRWs7yM6r96/t9FZ2pXBv7IxP4YCxlQGp2AeYfjNb5OtkUIAkhvDEdfGAmFOBafAauxadrfNwH3erxz8/qeZbx2NQcLDwULbdOjS6HF5ZGAZIQwnO2EWHgq7kid2iROO7j+LpTZFWofocd7lfTStTlZT4FSEKInAmdfAEAf914ptXa12JzEwDA/efZ+qgW725SFpQNG5eykv26QgGSECKnqYct3qjrgCIpw88RjzU+bnGpWcafZ73UR9UAAOlq8jTV7dcGBUhCSDmylJ+9l+KRp2ECeL/m7vzzPf/G66VegPpFvOy1XORLFQqQhJByejd2hZeDBTJyCzUeY21j/nrY4QY9zjLuXmpVRUXc1OzXBgVIQkg5QgGH4I4lrcjtFzRfHrZrw9dJ2sVazi+pKQb9z14uQwGSEKLQ8ABPWItM8OB5tsbzPc7s1YB/HpWgeZqQNrLzVV/yZ+Vrv3yEMhQgCSEK2ZibYtirIX07NEwcb+Vlxz/fcFI/ww5tRCaV2q8NCpCEEKWCO/qC44BTd1PwMEV9+o5Q8HqWcX0ljNMlNiGkRvBxtEIv/5K5IkM0TBwvfZmt7dRpmsjOL1a6NjYHusQmhFShiZ19AQAHryQiM7dQbfkR7V6Py/7rhuaTXmjK094CAoHiECkQVH6ZBbnz6exMhBCjFFjXEf5uNsgrLMavl9XnN3rYvQ5QK/++o/P6DA/wUroCo1Ra+WUWSqMASQhRieM4TOxckvKz82IcijSYK7KhqzUAIOtlkcYpQjURBUhCiFoDW3rA0coMTzNf4sTtZLXlS692GKPDsdFAyWQVqi6xabIKQkiVMjcVYoxsrsjz6lN+SieM74qIq/D7xqbmYFVoDKb/cg2rQmMQm5qDxPQ8pa1SXayFXRoFSEKIRt57wxumQg6Rj9NxPSFDZVlLs9e5iNqucSOzPzIBvdaextazj3As+im2nn2EXmtPI/tlIThOcQtSF2thl0YBkhCiERcbc7zdQjZXpPpWZOnOkhwtU29kk+JK2evJcGV/nrqbonQYoy7Wwi6NAiQhRGOyWX6ORj9DskT1lGZjA33459omje+PTFDaSlREKOB0thZ2aRQgCSEaa+5pi/a+ms0V2cRdzD9f/492s/uous9YlplQgBaettg1sb1O1sIujQIkIUQrssTxvZfi8bJQ+cQRAgEH61fjou8mZ2mV7uNpb6FxC7KgWIroxEyM236JFu1S59ixY+jQoQMsLCxgb2+PwYMHy+2Pj49H//79YWlpCRcXF8ybNw9FRfL3R06fPo02bdpAJBKhfv36CAkJqboPQEgN92YTN3jaWyAtpwC/R6meK3J+30b887gXuRq/x/AAL60CKi3apYFDhw5h7NixmDBhAq5fv44LFy5g9OjR/P7i4mL0798fBQUFuHjxInbu3ImQkBAsXbqULxMbG4v+/fujR48eiIqKwqxZszB58mQcP368Oj4SITVOyVyRvgCA7efjVAayvk3d+OdHNJx4FwD8nKzwbltPrevGcbrNg+SYIae5l1JUVARfX1989tlnmDRpksIyf//9NwYMGICnT5/C1bVkAP6WLVuwYMECpKSkwMzMDAsWLMCxY8dw8+ZN/riRI0ciIyMDoaGhGtVFIpHA1tYWmZmZEIvF6g8gxMBIXhYi8MuTyCkoxp7JHdCpvpPSsr4Lj/HP477qr9H5Y1Nz0GvtaaWLcykj4ID+LTywaVRrleU0/Y0aTQvy6tWrePLkCQQCAVq3bg13d3e89dZbcoEuIiICzZs354MjAAQFBUEikeDWrVt8md69e8udOygoCBEREUrfOz8/HxKJRO5BiDETm5vyLTx1ieNdGrwOnoruWZZOBv/08A0sOhyNKbsiUZGmG+VBKvHo0SMAwPLly7FkyRIcPXoU9vb26N69O9LS0gAASUlJcsERAP86KSlJZRmJRIK8PMUZ+itXroStrS3/8PLSbU8aITVR8KuUn5MxzxGr4r7f5C51+eeX49Lk9pVOBj96/Sn2XorHL5cS8OB5doVmfax1eZALFy4Ex3EqHzExMZBKSwbQL168GEOHDkXbtm2xY8cOcByHAwcO6LWOixYtQmZmJv9ISNBtTxohNZGfkxV6+bsAKJnEQpkOfg7889KtzbLJ4BW918dBf3mQupubXE/mzp2L4OBglWXq1q2LZ8+eAQCaNGnCbxeJRKhbty7i40umaHJzc8OlS5fkjk1OTub3yf6UbStdRiwWw8JCcdNdJBJBJBJp/qEIMRITO/vhZMxz7I9MwOw3G8LWwrRcGXNTIf/81N0UDPnuAua82RAXH74oSeWpZDeIu50FBrXywIgAL50GR8AAAqSzszOcnZ3Vlmvbti1EIhHu3r2Lzp07AwAKCwsRFxcHH5+SjP7AwECsWLECz58/h4tLyf98YWFhEIvFfGANDAzEX3/9JXfusLAwBAYG6vJjEWIUOtZzRCNXG9xNzsKByAS5y2mZeQevy72+Fp+BsT9dgpeDRaWnQhMKOAxq5YEFff0rdR5lavwltqbEYjE++OADLFu2DCdOnMDdu3fx4YcfAgCGDRsGAOjTpw+aNGmCsWPH4vr16zh+/DiWLFmCadOm8S3ADz74AI8ePcL8+fMRExOD7777Dvv378fs2bOr7bMRUlOVzBXpCwDYcaH8XJHn7qfgQGSiwmMT0io/646u7zmWZTQBEgDWrFmDkSNHYuzYsWjXrh0eP36M8PBw2NvbAwCEQiGOHj0KoVCIwMBAvPfeexg3bhw+//xz/hx+fn44duwYwsLC0LJlS6xduxbbtm1DUFBQdX0sQmq0Qa3qwN7SFE8y8vDPHfnbU9+E3VN5bEWXzuYAvdxzLPc+xpIHWZNQHiSpbb4+fhebTz1Ae18H7P/g9e2ojl+F42mG7uZnlKnvYo1t4wIqHBxrXR4kIaT6jA30gZADLsWlYdxP//GT27qKdd95KRRweLOJq15bjjIUIAkhlXbmXgqKX12Lnr2fyk9u29bbXufvpe/7jqVRgCSEVIosn7E02eQR2y/Eol8zNyVHak6fuY6q1Pg0H0JIzcZPbqugO4PjOPg4WWH3pPZYG3YP95KykFOgfIo0ZTrUdUBrb3u95DqqQgGSEFIpmiyi1bmBMzo3cEZsag56fH1aq/NzHNDa215vuY6q0CU2IaRSVE1uW3byCD8nK/RoJD/wgyvzZ7lzADpdqVAbFCAJIZWianJbRR0qjdxsFJZVNoG4rmfo0QYFSEJIpfg5WWHV0BYQcICwVJRT1KESm5qDrWcfyR0vC63Kksarste6LLoHSQiptGEBXmjn64BfL8dj69lHkDJgz+QOCKwnP5Gu6g4dAKxkLRvGGDiu5M+q7LUuiwIkIUQnfJ2ssPCtxgi7nYyHKTkoMywbgOoOHQ5Ad38XNHKzQWJ6HjztLaq817osCpCEEJ3ycbTCw5QcPE7LQWfItyD5Dh0lKUGN3GyqpbdaGboHSQjRKW8HSwBAvIJVDLXt0KluFCAJITrl41gSIB8rCJByHTqvRsZUxwgZTdElNiFEp/gAmaZ4HWxZh86+yIQac69RGQqQhBCd8nYoCXTxL3L43uiyfJ2satS9RmXoEpsQolNeDhbgOCCnoBgvcgqquzqVQgGSEKJTIhMh3MXmABTfhzQkFCAJITrn/eo+ZHya8vWyDQEFSEKIzvm8ug9JLUhCCCmDb0FSgCSEEHnqUn0MBQVIQojO0SU2IYQoIbvETs3OR05+UTXXpuIoQBJCdM7WwhR2lqYAgHgDvsymAEkI0QsHi5IAOebHfzHkuws4dz+lmmukPQqQhBCdm3fwOh69uv+YlluIa/EZGPvTJcw/eL2aa6YdCpCEEJ06dz8FByITFe7bH5mI8wbUkqQASQjRqW/C7qncv1bN/pqEZvMhhOhEbGoO9kcmIOZZlspyyZL8KqpR5VGAJIRU2v7IBCw8FA2O41CsbHnCV1zFoiqqVeVRgCRER2QtKNkksMMDvOBXAyeB1bXY1BwsPBRdsmyrkuUUSpv7ZkP9V0pHKEASogOlW1CySWJ/OPMQq4a2wLAats6KrqlayrWs4QGe6NzAuQpqpRsUIAmpJIUtqFd/LjgUjXa+DjVyOQFdUbWUKwBYmArh726DuW82NKjgCFAvNiGVxregFOA4DvsiE6q4RlXL085caeNRKOAQ3MkXv33UyeCCI0ABkpBKU9WCYowhMT2vimtUtfIKpVDWfqyJS7lqgy6xCakkT3sLpffgOI6Dp71FNdSqauz+9zFCLsYBADgAAsHre7CMsRq5lKs2KEASUknDA7zww5mHCvcZegtKlb9uPMP//X4TADCjVwO807qOQSzlqg2Oqbq7SipEIpHA1tYWmZmZEIvF1V0dUgUORCZggayjppRGrjbo2djF6FJ+Lj5IRfCOyygolmJMB2/8b3AzpfdhayJNf6MUIPWAAmTtFJeag4Gbz0Pysvz8hxyA1e8aR8rPzSeZGLn1X2TnF6FfczdsGtUGQoHhBEdA898oXWIToiO+TlZo4GKDK/Hp5fYxAPMORuNafAamdK1rUK3J0gnwNiIT/H3zGbLzixBY1xHrRrQyuOCoDQqQhOjQ86yXKvfvvRSPXy/HG0wCedkEeNktBA87c2wd1xYiE2H1VlDPKM2HEB1KyVY/EYOUlSSQx6XW7DWjSyfAF0uZ3P3VpMyXeJFdUH2VqyIUIAnRJQ3v6BtCAnltT4AHKEASolNO1mYalTOEBPLangAPGFmAvHfvHgYNGgQnJyeIxWJ07twZp06dkisTHx+P/v37w9LSEi4uLpg3bx6KiuR7HU+fPo02bdpAJBKhfv36CAkJqcJPQQxZE3dbjcoZQgI5nwCvgCHUXxeMKkAOGDAARUVFCA8Px5UrV9CyZUsMGDAASUlJAIDi4mL0798fBQUFuHjxInbu3ImQkBAsXbqUP0dsbCz69++PHj16ICoqCrNmzcLkyZNx/Pjx6vpYxICITDX7SRVLGd5t66nn2lTO8AAvlS1IY02AL61CeZBFRUU4ffo0Hj58iNGjR8PGxgZPnz6FWCyGtbW1PuqpVmpqKpydnXH27Fl06dIFAJCVlQWxWIywsDD07t0bf//9NwYMGICnT5/C1dUVALBlyxYsWLAAKSkpMDMzw4IFC3Ds2DHcvHmTP/fIkSORkZGB0NBQjepCeZC116rQGHx/WvGomrJaeNpiy3tt4WFXc1tisgT40hPhCjgYTC+8Mpr+RrVuQT5+/BjNmzfHoEGDMG3aNKSklCzAs2rVKnzyyScVr3ElOTo6olGjRti1axdycnJQVFSEH374AS4uLmjbti0AICIiAs2bN+eDIwAEBQVBIpHg1q1bfJnevXvLnTsoKAgRERFK3zs/Px8SiUTuQWqn4WqCRhP31z/G6MRMvLXhHP6+8Uzf1aqwYQFe2DWxPVp42sLMpCRcDGzpjkepOZj+yzWsCo1BbA3vja8MrQPkzJkzERAQgPT0dFhYvP6fb8iQITh58qROK6cNjuPwzz//4Nq1a7CxsYG5uTm++eYbhIaGwt7eHgCQlJQkFxwB8K9ll+HKykgkEuTlKb4pvXLlStja2vIPLy/D/Z+VVI6fkxW6NXRSuK+ukxX+nN5ZbltmXiE+3HMVCw5GI7eg/Aic6rY/MgHjtl9CdGImCoukAIAjUc/ww5mHOBb9FFvPPkKvtadxwEh7tLUOkOfOncOSJUtgZibfW+fr64snT57orGIyCxcuBMdxKh8xMTFgjGHatGlwcXHBuXPncOnSJQwePBhvv/02nj3T7//QixYtQmZmJv9ISDDOfyxEM70al/wHa17mfuSj1Bw8zcjD2Xk9yh2zLzIBAzaex43EzCqpoybK5kGWvhcnZZDLjzSEvM6K0DpASqVSFBcXl9uemJgIGxsbnVSqtLlz5+LOnTsqH3Xr1kV4eDiOHj2KX3/9FZ06dUKbNm3w3XffwcLCAjt37gQAuLm5ITk5We78stdubm4qy4jFYrkWc2kikQhisVjuQWovLwdLAICpsPzP6/eoJ/B2tMSyt5vIbXcTm+NRag7e+f4Ctpx5CKmaha+qgqo8yLKMNS9S6wDZp08frF+/nn/NcRyys7OxbNky9OvXT5d1AwA4OzvD399f5cPMzAy5ubkAAIFA/iMJBAJIpSWXBoGBgbhx4waeP3/O7w8LC4NYLEaTJk34MmVvFYSFhSEwMFDnn40YJ+9XATL/1SVpaYevPQFjDMEdfeFo9foqbFrP+ujb1A2FxQxf/R2Dsdv/Q1Km6mGL+qZuKYXSjDUvUusAuXbtWly4cAFNmjTBy5cvMXr0aP7yetWqVfqoo0YCAwNhb2+P8ePH4/r167h37x7mzZvHp+0AJcG9SZMmGDt2LK5fv47jx49jyZIlmDZtGkSikqUoP/jgAzx69Ajz589HTEwMvvvuO+zfvx+zZ8+uts9GDEudV73SBUVSlJ3H4VFKDq4nZoLjOITO6spv/78jN/G/Ic3w1TvNYWEqxIUHL/DWhrM4cSupKqsuR1UeZFnGmhepdYD09PTE9evXsXjxYsyePRutW7fGV199hWvXrsHFxUUfddSIk5MTQkNDkZ2djZ49eyIgIADnz5/H77//jpYtWwIAhEIhjh49CqFQiMDAQLz33nsYN24cPv/8c/48fn5+OHbsGMLCwtCyZUusXbsW27ZtQ1BQUHV9NGJgzE2FcBObA0C5+SEB4LeriQAAZxsRNo1qzW/vu/4cRrTzwtEZndHUQ4z03EJM/fkKFv92A3kF5W9r6ZuqPMiypFLjzIvUOg/y7Nmz6NixI0xM5CcCKioqwsWLF9G1a1clR9YelAdJhm25iMtx5ac9AwAHKzP8u6gXnzbz1oZzuPOsJDXsf4Ob4b03fJBfVIy1J+5h69lHAID6LtbYMLIVmnpoNlJHVw5EJmDewWi15TgApz7pbjAziOstD7JHjx5IS0srtz0zMxM9epTvnSOkNpJ11MjYW5ryz9NyCnDmXgr/et/7b/DPlxy5iaTMlxCZCPFpv8bYPakDXGxEePA8G0O+vYht5x5VaQfOsAAvOL8aX+5hZw5lF9wCAXXSAAC/IE9ZL168gJWVYfzvQYi+eZcJkL0by+fW/nYtkX8uNjfFnskd+NdvrDzJX9p2buCE0Fld0buxKwqKpfjfsTsYv+OS2nkndeVJRh5SsgsgFHBo5WUHZbckjbWTRuMJc9955x0AJTdjg4OD+U4NoGSMc3R0NDp27Kj7GhJigLzs5QNkclY+PO0t+CDyz+3nyMwthO2rlmWn+k7o0cgZp+6WtCy/PfUAH/dsAKDkkvzHcW2x5794fHH0Ns7dT8Vb689hzbAW6OkvH3h1LTKu5GqxibsYPo5WtW71Ro1bkLJRIowx2NjYyI0ccXNzw9SpU7F792591pUQg+HtKB8gkzLzEDKhHf+6oFiKY2WGGH7/Xlv++dcn7iH+RS7/muM4vPeGD45O74zG7mK8yCnAxJBILP39Jl4W6q8D58rjkvuoAb72tXLyCo1bkDt27ABQMmLmk08+octpQlQoe4mdlPkS9V3kB1L8di0Rozt486/NTYX48+POeHvzeQBA1zWn8PDLfnJrvjRwtcGRaR2xOvQufjofi10Rj/HvoxfYOKo1/N103yEY+aqjKcDHAX5OVlg1tAU/eYUxrX+tjNb3IJctW0bBkRA1nK1FfC81AEheFiG3oAiTOvvx2y7Hpcu1EgGguactRrV/3RL74ujtcucWmQjxfwOaIGRCOzhZi3AvORsDN19AyIVYjdNy1IlNzcEXR2/j9qvedRdxyS21YQFeCJ/bHVO71kX/Fh6Y2rUuwud2N+iZfVSp0HRnBw8exP79+xEfH4+CAvl1Ka5evaqzyhkqSvMhANBr7Wk8THk9Pjl8bjfUsbdAoyWvp82b3bshZvZuIHdcsZSh3qd/8a9PzO6Khq6Kh/GmZudj3oHr/L3LHo2csWZYSzhZixSW14RsoS7GXq8gYQxTnJWmtzSfjRs3YsKECXB1dcW1a9fQvn17ODo64tGjR3jrrbcqVWlCjEm5y2zJy3KrAP52LbFcq08o4HD6k+786z7rzqKwuPywRQBwshZhe3A7LH+7CcxMBDh1NwV915/D6bvPFZZXJzY1BwsOlkxQUXZyivkHjXNCClW0DpDfffcdtm7dik2bNsHMzAzz589HWFgYZsyYgczMmjMTCSHVrWwuZLKkJDXn50nt+W1xL3JxNT6j3LG+TlaY2et1y3LWviil78NxHII7+eGPjzuhkasNUrPzEbzjMj7/87bWHTg/nn2kdN0xBvCJ67WF1gEyPj6eT+exsLBAVlYWAGDs2LH45ZdfdFs7QgxY2Rbks1eTT3Rp4Cy3vXROZGmzSl16H4t+hmvxikfmyPi7ifH7x50wPtAHALD9QiwGf3sB95OzNK7z+QepldpvbLQOkG5ubvxIGm9vb/z7778AStZy0dUNYkKMQbkWZKnZeXr5v5634NCVJ8gvKt/S4zgOlxb34l8P+e6iwnKlmZsK8dmgZvhpfAAcrMwQk5SFAZvO4+d/H2v0+5S8LKzUfmOjdYDs2bMn/vjjDwDAhAkTMHv2bLz55psYMWIEhgwZovMKEmKoyiaLJ0leB8g1w1ryz/MKi3EqJgWKuNiYY8WQZvzr97b9p9F792rsitBZXdC1oTPyi6T4vyM3MWXXFaTlFKg8TmxuqnK/rZr9xkbrALl161YsXrwYADBt2jRs374djRs3xueff47vv/9e5xUkxFB5OciPLCk9v6ODlfyM/MouswFgTAcf2JiXpCxfjkvH2XuKg2lZLjbmCAluh/8b0ARmQgH+uZOMvuvP4vx95ZfJnesrXi5CppOa/cZG6wApEAjkZvIZOXIkNm7ciOnTp5dbhoGQ2szG3FRukorSLUgAWPlOc/758VvJSFfRuruwsCf/fNz2SxqvXyMQcJjU2Q+/TeuI+i7WeJ6Vj/d++g9f/nUHBQom9J3Sta7SCSk4AFO71tXofY1FhdbFzsjIwIkTJ7B7927s2rVL7kEIea10R01KVj6KSqXrlF0B8aiK1Q3F5qbYUmooYp91Z7WqR1MPW/z5cWeMeTVyZ+vZRxjy3QU8eJ4tV87PyQqr320hFyQ5lORBrn7XOEfLqKLxUEOZP//8E2PGjEF2djbEYrHczD4cx2HcuHE6rSAhhszLwRLXXy3EJWVASnY+3G1LLr2FAg51na3w6FUy+cEriRj7ho/Sc/Vt5oZGrja4m5yFxPQ8/HH9KQa29NC4LhZmQqwY0hxdGzpjwaFo3HoqwYBN57Ds7abo4OeAA1cSkZieB097C8wLaoTVx+9CbG6CMW/4YESAV60LjkAFRtI0bNgQ/fr1w5dffglLS0v1B9RCNJKGyKwKjcH3px/yr3/7qCNae9vzrx88z0bvb87wr0990h1+KgLRy8Ji+P/f65E40cv7qO1YUSRZ8hJz9kfhwoMX/DYhx4GhZHy1lDEwVjKLz18zu2h9/ppObyNpnjx5ghkzZlBwJEQDZXMhk8vch6zvYi33+rdrqpdONjcVYv/7rxeQa/XZiQrVy1Vsjp8ndsD7pe4pFjP2eonXV80mRfcpaxOtA2RQUBAiIyP1URdCjI6iWX3K+qBbPf751rMP1eYrtvdzQPdGJcnmUgbsvBhXoboJBFzJQ8W6XOm5qtOCjJ3W9yD79++PefPm4fbt22jevDlMTeWb9wMHDtRZ5QgxdGVzIZ9JygfImb0aYMuZksvwl4VSRD5ORztfB5Xn3TYuAPUX/w0AWPbHLfRv4V6hCSrUzQKubAx4baF1gJwyZQoAyK0EKMNxHIqLq371NUJqKnc7cwgFHIpfrSOTrKAFaWEmlCtz+Gqi2gBpIhTg+KyuCFpf0psd8L9/ELuyn8bLtMrwS7sqabWaCiuU6GI0tP70UqlU6YOCIyHyTIUCeNiZ86/L5kLK7JzwegKLXy4laDTJRCM3G4xq/3rC3bUn7mldP3VLu9pb1u7c5tr93wMhVaD0Zbaie5AA0Km+o9zr8BjNpiv7stQwxM2nHiAhLVdF6fJks4QLuJK0o7Ltz9KT/tZGGl1ib9y4EVOnToW5uTk2btyosuyMGTN0UjFCjIW3gyUuPixJp0mSvFS4MijHcejb1A2ht5IAlHS89GvurvbcHMfhwsKe6PRVOACgy+pTWl9qDwvwQjtfB+yLTMDjFzkIu52MwmKaeAbQMA/Sz88PkZGRcHR0hJ+fn9JyHMfh0aPaNV+cIpQHSUr79tQDrDl+l399fWkffjXD0lKy8tFuxT/86ytLesNRw46XDf/cx7p/Si6xhwd4YvW7LdUcodyiwzfwy6V4AOATxYcHeKnMzzQ0Os2DjI2NhaOjI/9c2YOCIyHllZ327JlEcc+xs418MDwarXzoYVmll23YH5mIu0mazwFZlpP16/uOkpdF2Hr2EXqtPY0DkQkVPqehqt03GAipAprkQsqsHtqCf/7Zn7e0ep+opW/yz4PWn4VUqv1lcmxqDr499UBuW7G0JIF8waHat+SCRvcg58yZo/EJv/nmmwpXhhBj5GUvP+1Z2dE0pb3Tpg7mH4oGUJIE/jAlG/WcrZWWL83O0gwr32mORYdvAACCQy5j18T2ao6Stz8yQWnaD8dx2BeZgAV9/bU6pyHTKEBeu3ZN7vXVq1dRVFSERo0aAQDu3bsHoVCItm3bKjqckFrNwcoMVmZC5BSUpO48U9GCNBEK4O9mg5hXl8i/XorH4v5NNH6vUe29seyPWygokuLsvRRExqUhQE1OZWmJ6XlK034YY2oTy42NRpfYp06d4h9vv/02unXrhsTERFy9ehVXr15FQkICevTogf79++u7voQYHI7j5O5DqmpBAsDGUa355z+ei9X6Uvn60j7883e3RMhNsaYOnziuAMdx8CzTGjZ2Wt+DXLt2LVauXAl7+9czktjb2+N///sf1q5dq9PKEWIsSgdIVfcgAZRbA/tSXJpW72VhJsTWsa+v5mSjbTShKnGcMYYRRrIutqa0DpASiQQpKeWnfE9JSeFXOCSEyCvdUaPqEltmes/6/PMN/9zX+v36NHVD3VdpOQ9TcvDP7WSNjiubOF76z1VDa9+EuVoHyCFDhmDChAk4fPgwEhMTkZiYiEOHDmHSpEl455139FFHQgyetxaX2ID80gYRj15ovb41AJyY3ZV/PnlXpMbnGBbghfC53TG1a130b+GBqV3rInxudwyrZa1HoAKTVWzZsgWffPIJRo8ejcLCkiUgTUxMMGnSJKxZs0bnFSTEGJRewCs9txAvC4thbipUWt7G3BQiEwHyX83HePxWEga1qqPVe5oIBTj4QSDe3RIBAGj9eRjufNFXo2N9naxqVW+1Mlq1IIuLixEZGYkVK1bgxYsXuHbtGq5du4a0tDR89913sLKqXc1vQjSlbuJcRbaND+Cfz/w1qkLvG+DrgC4NSlYizCssxv7LtS/ZuzK0CpBCoRB9+vRBRkYGrKys0KJFC7Ro0YICIyFqeJZdI1uD+5Bll2BNycqv0HuXzoWcfygakpeFFTpPbaT1PchmzZrRkEJCtGRuKoRLqaGEyqY9K43jOLlFuXZciK3Qe3Mch7BS9yNbLK/YMg21kdYB8n//+x8++eQTHD16FM+ePYNEIpF7EEIU89Yi1UdmUb/X9wG/K7X4l7YauNpgeIAn/7rscEKimNYBsl+/frh+/ToGDhwIT09P2Nvbw97eHnZ2dnK5kYQQeXIBUoMWJAB+iViZe8kVT6UrPcPPmuN38VzDOtRmWvdinzp1Sh/1IMToeWqZ6iOzemgLfnz2gkPR+O2jThWuw8WFPdHx1dyR7b88iQ+71+PXwja2Kc10QesA2a1bN33UgxCjp22yuMyg1h58gLwWnwGplEGgailCFTzsLDCjVwNsPFmSfL7l9ENwXMl9yh/OPMSqoS1qZb6jMhWa7iwjIwNr167F5MmTMXnyZKxbtw6ZmZm6rhshRqX0rD6KFu9SRmQihL/b6+GHJzQcFaPMkNav8ykZwK+FXVunNFNF6wAZGRmJevXqYd26dUhLS0NaWhq++eYb1KtXD1evXtVHHQkxCt6Or1uQz7Py+VUMNbF2+Ov7hx/svlKpeuyPTIBQxYQU+2rhxLjKaH2JPXv2bAwcOBA//vgjTExKDi8qKsLkyZMxa9YsnD2r+cB4QmoTVxtzmAkFKCiWokjK8CI7Hy5ic/UHAmjqYSv3Oq+gGBZmykfiqJKYngcGmtJMExVqQS5YsIAPjkDJUMP58+cjMjJSp5UrbcWKFejYsSMsLS1hZ2ensEx8fDz69+8PS0tLuLi4YN68eSgqKpIrc/r0abRp0wYikQj169dHSEhIufN8++238PX1hbm5OTp06IBLly7p4ROR2kYgkJ8uTNOebJkZvV4vq7D+pPZLvMrQlGaa0zpAisVixMfHl9uekJAAGxsbBUfoRkFBAYYNG4YPP/xQ4f7i4mL0798fBQUFuHjxInbu3ImQkBAsXbqULxMbG4v+/fujR48eiIqKwqxZszB58mQcP36cL7Nv3z7MmTMHy5Ytw9WrV9GyZUsEBQXh+XPNluEkRBVtpj0ra2InX/75D2cqPliDpjTTnNYBcsSIEZg0aRL27duHhIQEJCQk4Ndff8XkyZMxatQofdQRAPDZZ59h9uzZaN68ucL9J06cwO3bt7F79260atUKb731Fr744gt8++23KCgoAFAy0Yafnx/Wrl2Lxo0b4+OPP8a7776LdevW8ef55ptvMGXKFEyYMAFNmjTBli1bYGlpie3btyutW35+PiXME41oO6tPaXaWZnKvF/92A9N/uYZVoTGI1aJjhaY005zW9yC//vprcByHcePG8Zevpqam+PDDD/HVV1/pvIKaioiIQPPmzeHq6spvCwoKwocffohbt26hdevWiIiIQO/eveWOCwoKwqxZswCUtFKvXLmCRYsW8fsFAgF69+6NiIgIpe+9cuVKfPbZZ7r9QMQolZ7VR5tUH5kdE9phwo7LAIA9/8VDUMEUndJrYcvyIEcEeFFwLEPrAGlmZoYNGzZg5cqVePiwZOhTvXr1YGlpqeZI/UpKSpILjgD410lJSSrLSCQS5OXlIT09HcXFxQrLxMTEKH3vRYsWyS1sJpFI4OVFlymkvIqMpinNq8ykF1IGfoGtBYei0c7XQeMgR1OaqVfhZV8tLS35YYYVDY4LFy4Ex3EqH6oCU00hEokgFovlHoQoos3aNIocupqodB8DKEVHx7RuQUqlUn79mezsbACAjY0N5s6di8WLF0Mg0Dzmzp07F8HBwSrL1K1bV+V+GTc3t3K9zcnJyfw+2Z+ybaXLiMViWFhYQCgUQigUKiwjOwchleFVwdE0sak52B+ZgENXVARIBtxNomVPdEnrALl48WL89NNP+Oqrr9CpU8mY0PPnz2P58uV4+fIlVqxYofG5nJ2d4ezsrG0VFAoMDMSKFSvw/PlzuLi4AADCwsIgFovRpEkTvsxff/0ld1xYWBgCAwMBlNw+aNu2LU6ePInBgwcDKPkP4eTJk/j44491Uk9Su4nNTWFnaYqM3EKNR9Psj0zAwkPR4DhObXK5tj3jRDWtA+TOnTuxbds2DBw4kN/WokUL1KlTBx999JFWAVIb8fHxSEtLQ3x8PIqLixEVFQUAqF+/PqytrdGnTx80adIEY8eOxerVq5GUlIQlS5Zg2rRpEIlK5uH74IMPsHnzZsyfPx8TJ05EeHg49u/fj2PHjvHvM2fOHIwfPx4BAQFo37491q9fj5ycHEyYMEEvn4vUPt4OlsjIzUROQTGyXhbCxtxUadnY1BwsPBQtd69RlZz8IrVliOa0DpBpaWnw9y9/Y9ff3x9padotT6mNpUuXYufOnfzr1q1L1g4+deoUunfvDqFQiKNHj+LDDz9EYGAgrKysMH78eHz++ef8MX5+fjh27Bhmz56NDRs2wNPTE9u2bUNQUBBfZsSIEUhJScHSpUuRlJSEVq1aITQ0tFzHDSEV5WVviejEkrkLkjJfKg2Qsak5mLM/SpO4yDM1qXC3AlGAY8oyRpXo0KEDOnTogI0bN8ptnz59Oi5fvox///1XpxU0RBKJBLa2tsjMzKQOG1LOV3/HYMuZkgyQnye1R5cG5W8zyS6rtRiuDQAY3d4bX76jOFeYvKbpb1TrFuTq1avRv39//PPPP/y9u4iICCQkJJS7v0cIKa90LqSie4axqTlYcDBayWhp5TjILxdLKk/r9ni3bt1w7949DBkyBBkZGcjIyMA777yDu3fvokuXLvqoIyFGRd3SCz+efaRVcORePVa/S6NgdE3rFiQAeHh46K0zhhBjpy5Z/FKc+nv5HIDujZxhbW5Ko2D0SOMW5P379zFq1CiF44wzMzMxevRoWu2QEA142FlANiF4RZLF7SxNceqT7tgxoT02jWqNBX39KTjqicYBcs2aNfDy8lJ4Q9PW1hZeXl5Ys2aNTitHiDEyFQr4xbgUJYu381W9+F2/Zu4UEKuIxgHyzJkzGDZsmNL9w4cPR3h4uE4qRYixk11mK2pBTu1aD8pWnKGOmKqlcYCMj4/nR6go4uTkhIQEGgdKiCZkPdmp2QUoKJLK7fNzssLKMqk61BFTPTTupLG1tcXDhw/h4+OjcP+DBw8o548QDZWdF7L0GG0A8HEsCYLmpgL0buwKLwdL6oipBhoHyK5du2LTpk3o2bOnwv0bN26kNB9CNFR2Vp+yAfLMvRQAwFvN3LFuRKuqrBopReNL7EWLFuHvv//Gu+++i0uXLiEzMxOZmZn477//MHToUBw/flxuollCiHJealJ9ZAGyeyPdTOZCKkbjFmTr1q1x8OBBTJw4Eb/99pvcPkdHR+zfvx9t2rTReQUJMUaqksWTJS9x55kEHAd0ru9U1VUjpWiVKD5gwAA8fvwYoaGhePDgARhjaNiwIfr06VPtM4oTYkgcrcxgYSpEXmGxXIA8dz8Fi3+7AQCwMBXi9jOJwrHapGpoPZLGwsICQ4YM0UddCKk1OI6Dt4Ml7iZn8ZfY8w5ex4HI1xPi5hYUY+xPlzA8wBOr321ZXVWt1WhuJEKqiew+ZFLmS5y7nyIXHEvbH5mI8/dTqrJq5BUKkIRUE1ku5N3kLEz/5ZrKsmvD7lVFlUgZGgfIp0+f6rMehNQ6L7JL1mvPelmEjNxClWWTJflVUSVShsYBsmnTpti7d68+60JIrRGbmoM/ozVvdLiKRXqsDVFG4wC5YsUKvP/++xg2bJhel1YgpDbYr+XyrHPfbKinmhBVNA6QH330EaKjo/HixQs0adIEf/75pz7rRYhRu5uUpfFaM8MDPNGZUn2qhVZpPn5+fggPD8fmzZvxzjvvoHHjxjAxkT/F1atXdVpBQoxRem6Byv2mQg7N6thi7psNKThWI63zIB8/fozDhw/D3t4egwYNKhcgCSHq2VmaqdzfpYEztge3q6LaEGW0im4//vgj5s6di969e+PWrVtwdqb/2QjRVmxqDjJUtCA5DmjkZlOFNSLKaBwg+/bti0uXLmHz5s0YN26cPutEiNGSLeeqCgdgRIBX1VSIqKRxgCwuLkZ0dDQ8PT31WR9CjFZsao7Kta5l69SsGkqT4tYUGgfIsLAwfdaDEKO3PzIBHMdBWfe1s40Ia4e1pE6ZGoSGGhJSRRLT88BU5PY8l+Rj3PZLOKBljiTRHwqQhFQRT3uLkhakEgyAlAELDkUjLjWn6ipGlKIASUgVGR7gpbIFKcNxHPZRK7JGoABJSBXxc7LCorcaqy3HGENiel4V1IioQ1nehOhBbGoO9kcmIDE9D9YiIThwyMovQk5+EQDA0kyIvIJiKGpPchwHT3uLqq0wUYgCJCE6Jst15DgOUinjg2Dpu4/N6ogRGZeusEObMUZ5kDUEXWITokOlcx2LSwVHoKQTRvb6clw65gU1goADhAJO7k/Kg6w5qAVJiA6py3WUEYCD5GURwud2x75Xl+Ke9hYYEeBFwbEGoQBJiA6py3WUYSjpiPF1ssKCvv5VUDNSEXSJTYgOqct1lKGOGMNAAZIQHdI011EqpY4YQ0ABkhAd8nOywrttaUIXY0EBkhAdik3NwYErite3Lk0goNEyhoACJCE6pOliXDRaxjBQgCREh0p6sdWXo04aw0ABkhAdcrHRbP1qGi1jGCgPkhAd8nawVLmfZg03LBQgCdGRc/dTsPHkff61oFQ6pJQBrbxsEVjPiUbLGBCDucResWIFOnbsCEtLS9jZ2ZXbf/36dYwaNQpeXl6wsLBA48aNsWHDhnLlTp8+jTZt2kAkEqF+/foICQkpV+bbb7+Fr68vzM3N0aFDB1y6dEkPn4gYutjUHKwKjcH0X66h7/qzGPvTJbzIeb1aoZQBdewt8H63ejj9SXccmdYZC/r6U3A0IAbTgiwoKMCwYcMQGBiIn376qdz+K1euwMXFBbt374aXlxcuXryIqVOnQigU4uOPPwYAxMbGon///vjggw+wZ88enDx5EpMnT4a7uzuCgoIAAPv27cOcOXOwZcsWdOjQAevXr0dQUBDu3r0LFxeXKv3MpOYqPWNPsbJVuAAkpOWhUz1HCooGimOapP3XICEhIZg1axYyMjLUlp02bRru3LmD8PBwAMCCBQtw7Ngx3Lx5ky8zcuRIZGRkIDQ0FADQoUMHtGvXDps3bwYASKVSeHl5Yfr06Vi4cKFGdZRIJLC1tUVmZibEYrGWn5DUdLGpOei19rTS1QnLau1th98+6qTfShGtaPobNZhL7IrIzMyEg4MD/zoiIgK9e/eWKxMUFISIiAgAJa3UK1euyJURCATo3bs3X0aR/Px8SCQSuQcxXvyMPRpKluTrsTZEn4w2QF68eBH79u3D1KlT+W1JSUlwdXWVK+fq6gqJRIK8vDykpqaiuLhYYZmkpCSl77Vy5UrY2tryDy8vSt8wZprO2CPjKtYs9YfUPNUaIBcuXAiO41Q+YmJitD7vzZs3MWjQICxbtgx9+vTRQ83lLVq0CJmZmfwjIYGGkBmr2NQcJKbnanx5DQBz32yovwoRvarWTpq5c+ciODhYZZm6detqdc7bt2+jV69emDp1KpYsWSK3z83NDcnJyXLbkpOTIRaLYWFhAaFQCKFQqLCMm5ub0vcUiUQQiaiVYOxkHTMKF5JRYniAJzo3cNZfpYheVWuAdHZ2hrOz7v7x3Lp1Cz179sT48eOxYsWKcvsDAwPx119/yW0LCwtDYGAgAMDMzAxt27bFyZMnMXjwYAAlnTQnT57ke8JJ7VR6KQVFBFxJWo+3gwWKpCWX1XPfbEjB0cAZTJpPfHw80tLSEB8fj+LiYkRFRQEA6tevD2tra9y8eRM9e/ZEUFAQ5syZw98zFAqFfBD+4IMPsHnzZsyfPx8TJ05EeHg49u/fj2PHjvHvM2fOHIwfPx4BAQFo37491q9fj5ycHEyYMKHKPzOpOVQtpcABaOllh3XDW1E6j5ExmAC5dOlS7Ny5k3/dunVrAMCpU6fQvXt3HDx4ECkpKdi9ezd2797Nl/Px8UFcXBwAwM/PD8eOHcPs2bOxYcMGeHp6Ytu2bXwOJACMGDECKSkpWLp0KZKSktCqVSuEhoaW67ghtUtieh6kKm48etpbUnA0QgaXB2kIKA/SeMjWtz4W/QzxablKy41u740v32lehTUjlaHpb9RgWpCEVDVNR8sQ40UBkhAF5Dpl1FxkcQCy8ouqpF6kahltojghlaHNaBmBgCa/NVYUIAlRQJvRMjT5rfGiAEmIAurWt+YACAUcBBxNfmvM6B4kIQoMD/DCltMPle7v4e+CRm42NPmtkaMASYiWOABLBzShwFgL0CU2IQrsj0yAQKD4EpvWtK49KEASUkZsag7CbicrzX2kNa1rD7rEJqQUWXK4qg5sWtO69qAAScgr6mbskaG0ntqDLrEJeUVdcjgHUFpPLUMtSEKg/r4jANRzsca2cQEUHGsRCpCk1tPkvqNQwOHNJq4UHGsZCpCkVqP7jkQVCpCkVtuvJp+RA8DRfcdaiwIkqdXuJmWpbD16O1hi58T2FBxrKerFJrVaem6Byv0O1mYUHGsxCpCkVjM3Uf0TsLc0q6KakJqILrFJrSFbXyYxPQ+eduawFJkgMi5daXmOAxq52VRhDUlNQwGS1Ar7IxOwQE0qT1kcQD3XtRxdYhOjF5uag/kHlQfHeUGNIOBeT4BLE+ESGWpBEqO39sRdlftjnkkQPrc79skuv+0taCJcAoACJKkFzj9IVbn/3INUbBrdBgv6+ldRjYihoEtsYvSKilXfeFS3n9ReFCCJ0fNyUD13o7ea/aT2oktsYrRkaT025qr/mX/ar3EV1YgYGgqQxCjJZujhOA5SFWMJhwd4onMD5yqsGTEkFCCJUYlNzcHWsw/xy6VXk1AoyO1xsRGhjr0F5r7ZkIIjUYkCJDEams7rOLStJ/VYE41QgCRGQZt5HWlFQqIp6sUmRkHdejIytCIh0QYFSGIUEtPzwDQYaE0zgxNt0CU2MQrqWoU0MzipCGpBEqPQsZ6jyvuPA1q4I3xudwyj1iPRAgVIYhQuPnwBZbcgOQ7wdLCkliPRGgVIYhQS0/OgrIuGe7WfEG1RgCQGLzY1B4npuUovsannmlQUddIQgyZLDoeK+4/Uc00qigIkMTiySShikrJwOua50tgoeHXNTT3XpKIoQBKDUno4oaqsRw5ASy87rBveioIjqTAKkMRgxKbmYMHBaJWBUYbjAE976rkmlUOdNMQgxKbm4KM9VzQKjgB1zBDdoBYkqfFkl9XqJqIojTpmiC4YTAtyxYoV6NixIywtLWFnZ6ey7IsXL+Dp6QmO45CRkSG37/Tp02jTpg1EIhHq16+PkJCQcsd/++238PX1hbm5OTp06IBLly7p7oMQrWg6S48MLdlKdMlgAmRBQQGGDRuGDz/8UG3ZSZMmoUWLFuW2x8bGon///ujRoweioqIwa9YsTJ48GcePH+fL7Nu3D3PmzMGyZctw9epVtGzZEkFBQXj+/LlOPw/RjKaz9ACAj4MlpnatS0MKic5wTJMpUGqQkJAQzJo1q1zLUOb777/Hvn37sHTpUvTq1Qvp6el8i3PBggU4duwYbt68yZcfOXIkMjIyEBoaCgDo0KED2rVrh82bNwMApFIpvLy8MH36dCxcuFCjOkokEtja2iIzMxNisbjiH5Zg+i/XcCz6qdoWJAfg1CfdqdVINKLpb9RgWpCauH37Nj7//HPs2rULAkH5jxYREYHevXvLbQsKCkJERASAklbqlStX5MoIBAL07t2bL6NIfn4+JBKJ3IPohqe9BTilgwhLcABWv0uX1ET3jCZA5ufnY9SoUVizZg28vb0VlklKSoKrq6vcNldXV0gkEuTl5SE1NRXFxcUKyyQlJSl975UrV8LW1pZ/eHnR5Z2uDA/wglTFRc7o9t449QldUhP9qNYAuXDhQnAcp/IRExOj0bkWLVqExo0b47333tNzrRW/d2ZmJv9ISEio8joYKx8HSzhZmwEoyW0UcK87Yta82wJfvtOcWo5Eb6o1zWfu3LkIDg5WWaZu3boanSs8PBw3btzAwYMHAYCfXdrJyQmLFy/GZ599Bjc3NyQnJ8sdl5ycDLFYDAsLCwiFQgiFQoVl3NzclL63SCSCSCTSqJ5EM7LhhFcepyMluwAWJgKMfsMHz7Py4WlvgREBXhQYid5Va4B0dnaGs7Nult08dOgQ8vJeT2l1+fJlTJw4EefOnUO9evUAAIGBgfjrr7/kjgsLC0NgYCAAwMzMDG3btsXJkycxePBgACWdNCdPnsTHH3+sk3oS9UqvaV38qnfmZZEU/m42+L8BTaq5dqQ2MZhE8fj4eKSlpSE+Ph7FxcWIiooCANSvXx/W1tZ8EJRJTU0FADRu3Jjvxf7ggw+wefNmzJ8/HxMnTkR4eDj279+PY8eO8cfNmTMH48ePR0BAANq3b4/169cjJycHEyZMqJLPWdvJ5T2WuvfIACw4FI12vg7UciRVxmAC5NKlS7Fz507+devWrQEAp06dQvfu3TU6h5+fH44dO4bZs2djw4YN8PT0xLZt2xAUFMSXGTFiBFJSUrB06VIkJSWhVatWCA0NLddxQ/Rjf6Tq+7f7IhNoTWtSZQwuD9IQUB5kxcSm5mD89kuIT8tVWqanvwu2B7erwloRY6Tpb9RgWpDEuGk63jo9t6BqKkQIjCgPkhgubcZb21ua6b9ChLxCAZJUO03HW3Mc0MjNpgpqREgJCpCk2iWm50GqQfORA2gKM1Kl6B4kqXY2IhO1yydwNIUZqQYUIEm1kY2WOf8gVWW5xu5ifDemDQVHUuUoQJJqoWi0jCIcgHou1hQcSbWgAEmqVGxqDraefYhfLr1KCFeThisQ0NoypPpQgCRVpvSSrZqitWVIdaIASapERdaWYYxRxwypVhQgSZXgcx3VNB9l9xzfbOJKU5qRakcBklSJxPQ8aDLsn+OAbeMCKDCSGoESxUmVULe2DAfQcq2kxqEWJNG72NQcZOQWoFhFC3JUe29M7VqXgiOpUShAEr3i8x3LbOdQksIj64ihRbdITUQBkuiNqp5rhpJx1dRqJDUZ3YMkeqNqdnABB9hamlJwJDUaBUiiN3eTspTmPUpZyX5CajK6xCY6J5uE4mp8uspyNDs4qekoQBKd0nQSCoBmByc1HwVIojPKlmxVhGYHJ4aA7kESnYhNzcGc/VEaT0RBs4MTQ0AtSFJppWfpURcfaRIKYkgoQJJK0XSWHpqEghgiCpCkUjSepYcmoSAGiAIkqRR1KxLSglvEkFGAJJWibkVCWnCLGDLqxSaVwtR0y7TysqPgSAwWtSBJhchGy5y5p3zJVg5AVn5R1VWKEB2jAEm0puloGVqRkBg6CpBEY9ou2UorEhJDRwGSaETTJVvLToRL9x+JIaMASdTSZslWdzsLDGrlQcngxChQgCRqaZoMLhRwGNTKAwv6+ldRzQjRL0rzIWqpSwaXoXuOxNhQC5KoFJuagwfPs1RmO9JoGWKsKEASObL8xsT0PGS/LMSZeylq7z3SaBlirChAEl7p/EapVN0YmRKyWXooOBJjRAGSANBuNvDSKBmcGDPqpCEASvVUa4k6ZogxoxYkAVDSU820aDlSxwypDShAEgCAp72FRrmOMqPae2Nq17oUHIlRowBJEJuag4zcAtUTT3AAx70eQjiMLqtJLUABspbje64hf/9RNqZaKmXo3sgZ1uam8LS3oCGEpFYxmE6aFStWoGPHjrC0tISdnZ3SciEhIWjRogXMzc3h4uKCadOmye2Pjo5Gly5dYG5uDi8vL6xevbrcOQ4cOAB/f3+Ym5ujefPm+Ouvv3T9cWqE0j3XxWUurRlKlmU99Ul37JjQHptGtcaCvv4UHEmtYjABsqCgAMOGDcOHH36otMw333yDxYsXY+HChbh16xb++ecfBAUF8fslEgn69OkDHx8fXLlyBWvWrMHy5cuxdetWvszFixcxatQoTJo0CdeuXcPgwYMxePBg3Lx5U6+frzqo6rkWCjjYWppSQCS1Gse06bqsAUJCQjBr1ixkZGTIbU9PT0edOnXw559/olevXgqP/f7777F48WIkJSXBzMwMALBw4UIcOXIEMTExAIARI0YgJycHR48e5Y9744030KpVK2zZskWjOkokEtja2iIzMxNisbgCn7JqTP/lGo5FP1U4UkbAAf1beGDTqNZVXzFC9EzT36jBtCDVCQsLg1QqxZMnT9C4cWN4enpi+PDhSEhI4MtERESga9eufHAEgKCgINy9exfp6el8md69e8udOygoCBEREUrfOz8/HxKJRO5hCPieawU4jhLACTGaAPno0SNIpVJ8+eWXWL9+PQ4ePIi0tDS8+eabKCgoAAAkJSXB1dVV7jjZ66SkJJVlZPsVWblyJWxtbfmHl5dh9PAOD/BSOkuPVEoJ4IRUa4BcuHAhOI5T+ZBd+qojlUpRWFiIjRs3IigoCG+88QZ++eUX3L9/H6dOndLr51i0aBEyMzP5R+lWa00Um5qDVaEx+PzobY3GWxNSW1Vrms/cuXMRHBysskzdunU1Ope7uzsAoEmTJvw2Z2dnODk5IT4+HgDg5uaG5ORkueNkr93c3FSWke1XRCQSQSQSaVTP6qbNglv7IhNo8ltSq1VrgHR2doazs7NOztWpUycAwN27d+Hp6QkASEtLQ2pqKnx8fAAAgYGBWLx4MQoLC2Fqagqg5N5lo0aNYG9vz5c5efIkZs2axZ87LCwMgYGBOqlnddJmQgrGGBLT86qmYoTUUAZzDzI+Ph5RUVGIj49HcXExoqKiEBUVhezsbABAw4YNMWjQIMycORMXL17EzZs3MX78ePj7+6NHjx4AgNGjR8PMzAyTJk3CrVu3sG/fPmzYsAFz5szh32fmzJkIDQ3F2rVrERMTg+XLlyMyMhIff/xxtXxuXYlNzcGc/VEaT9RDnTSEGFCaT3BwMHbu3Flu+6lTp9C9e3cAJV33s2fPxuHDhyEQCNCtWzds2LBBrtMkOjoa06ZNw+XLl+Hk5ITp06djwYIFcuc8cOAAlixZgri4ODRo0ACrV69Gv379NK5rTUvzKb0ioaZ/2QIOCJ/bnfIgiVHS9DdqMAHSkNSkABmbmoNea09rtCJh2SVbabw1MVaa/kZpLLaR03RFQgDo4e+CRm42NN6akFcoQBqx2NQchN1OVtlbXXpeR2oxEiKPAqSR2h+ZgAUHo9WuRtjK2w7rhreiFiMhChhMLzbRXGxqjtrgCJS0HCk4EqIctSCNiGzJ1mPRz2gda0J0gAKkkdB0hAwA2Fqa4shHnSg4EqIGBUgjoO2SrU7WIgqOhGiA7kEaAW2XbG3v66DH2hBiPKgFaWBk9xkT0/PgaW+B4QFeWi3ZygGY2lWzCUAIqe0oQBqQ0vcZGWPgOA4/nHmIbg2d1SaDU8cMIdqjAGkgFN5nfPXn6bspgIor7J40QoaQCqEAaSDUDRk0NxEgr1AKgNawJkRXKEAaCFX3GRnAB0cAaOFpi8B6TtRiJKSSKEAaCH6BLQ06Y6ITM7F+ROsKBUfGGIqKilBcXFyRahJSIwiFQpiYmGiV3aEIBUgDMTzACz+ceahRWY6r2HIJBQUFePbsGXJzcytSRUJqFEtLS7i7u8utYqotCpAGws/JCquGtsACDUbLVGS5BKlUitjYWAiFQnh4eMDMzKzS//sSUh0YYygoKEBKSgpiY2PRoEEDCAQVS/mmAGlAhgV4oZ2vA/ZFJiDsdjIePs9WOOa6IsslFBQUQCqVwsvLC5aWlrqpMCHVxMLCAqampnj8+DEKCgpgbm5eofPQSBoD4+tkhQV9/fHjuAAoa+AxVvE1rSv6Py0hNY0u/i3Tr8FAyS65BRwgFHByf1IyOCG6QZfYBqz0Jbds6CGl9hCiO9SCNHCyS+5No1pjQV9/Co4qcByHI0eOVHc1NNK9e3e5tdmrwvLly9GqVasqfc+ajgJkNYpNzcGq0BhM/+UaVoXGIDY1p7qrpBPV8bmSkpIwffp01K1bFyKRCF5eXnj77bdx8uRJvb93VevevTs4jlP6kC2DrK1PPvlEp9+XMQRcusSuJsomnjD0oYHV8bni4uLQqVMn2NnZYc2aNWjevDkKCwtx/PhxTJs2DTExMXp53+py+PBhFBQUAAASEhLQvn17/PPPP2jatCkAlMv7KywshKmpqdrzWltbw9raWvcVrqSCgoJK5TJWBrUgq0HpiSeKpUzuzwWHohFXQ1qSjDHkFhRp/Lj9LFPl57rzLFPjc2mzXPtHH30EjuNw6dIlDB06FA0bNkTTpk0xZ84c/Pvvv0qPS0hIwPDhw2FnZwcHBwcMGjQIcXFx/P7Lly/jzTffhJOTE2xtbdGtWzdcvXpV7hwcx2Hbtm0YMmQILC0t0aBBA/zxxx9yZW7evIm33noL1tbWcHV1xdixY5Gamsrvz8nJwbhx42BtbQ13d3esXbtW5ed1cHCAm5sb3Nzc4OzsDABwdHTktzk6OuL777/HwIEDYWVlhRUrVqC4uBiTJk2Cn58fLCws0KhRI2zYsEHuvIpafNu2bUPjxo1hbm4Of39/fPfdd3L7ExMTMWrUKDg4OMDKygoBAQH477//EBISgs8++wzXr1/nW7YhISEAgPj4eAwaNAjW1tYQi8UYPnw4kpOTy9Vj27Zt8PPzg7m5OXbt2gVHR0fk5+fLvf/gwYMxduxYld9XZVALshqomniioqNg9CGvsBhNlh7XybmkDHhrw3mNy9/+PAiWZur/eaalpSE0NBQrVqyAlVX5+692dnYKjyssLERQUBACAwNx7tw5mJiY4H//+x/69u2L6OhomJmZISsrC+PHj8emTZvAGMPatWvRr18/3L9/HzY2Nvy5PvvsM6xevRpr1qzBpk2bMGbMGDx+/BgODg7IyMhAz549MXnyZKxbtw55eXlYsGABhg8fjvDwcADAvHnzcObMGfz+++9wcXHBp59+iqtXr1bq8nT58uX46quvsH79epiYmEAqlcLT0xMHDhyAo6MjLl68iKlTp8Ld3R3Dhw9XeI49e/Zg6dKl2Lx5M1q3bo1r165hypQpsLKywvjx45GdnY1u3bqhTp06+OOPP+Dm5oarV69CKpVixIgRuHnzJkJDQ/HPP/8AAGxtbSGVSvngeObMGRQVFWHatGkYMWIETp8+zb/3gwcPcOjQIRw+fBhCoRANGjTAjBkz8Mcff2DYsGEAgOfPn+PYsWM4ceJEhb8ndShAVgOVE09UYBRMbfbgwQMwxuDvr91/KPv27YNUKsW2bdv4EUM7duyAnZ0dTp8+jT59+qBnz55yx2zduhV2dnY4c+YMBgwYwG8PDg7GqFGjAABffvklNm7ciEuXLqFv3758cPnyyy/58tu3b4eXlxfu3bsHDw8P/PTTT9i9ezd69eoFANi5cyc8PT0r9H3IjB49GhMmTJDb9tlnn/HP/fz8EBERgf379ysNkMuWLcPatWvxzjvv8Mfcvn0bP/zwA8aPH4+9e/ciJSUFly9fhoNDySz19evX54+3traGiYkJ3Nzc+G1hYWG4ceMGYmNj4eVVcstl165daNq0KS5fvox27doBKLms3rVrF99Cln2mHTt28AFy9+7d8Pb2rvA9V01QgKwGqiaeqMgoGH2xMBXi9udBGpf/JuwedpyPQ7GCzyXkOEzo7Is5bzbU+L01oc2leGnXr1/HgwcP5FqCAPDy5Us8fFgy5j05ORlLlizB6dOn8fz5cxQXFyM3Nxfx8fFyx7Ro0YJ/bmVlBbFYjOfPn/Pvc+rUKYX39h4+fIi8vDwUFBSgQ4cO/HYHBwc0atSoQp9LJiAgoNy2b7/9Ftu3b0d8fDz/vspaqTk5OXj48CEmTZqEKVOm8NuLiopga2sLAIiKikLr1q354KiJO3fuwMvLiw+OANCkSRPY2dnhzp07fID08fGRC44AMGXKFLRr1w5PnjxBnTp1EBISguDgYL0OiaUAWQ1UTTxRmVEwusZxnEaXuTJjOvhg+/lYhfsYGN7r4KPV+TTRoEEDcByndUdMdnY22rZtiz179pTbJ/thjh8/Hi9evMCGDRvg4+MDkUiEwMBAvoNEpmwHCMdxkEql/Pu8/fbbWLVqVbn3cXd3x4MHD7Sqt6bK3m749ddf8cknn2Dt2rUIDAyEjY0N1qxZg//++0/h8dnZ2QCAH3/8US54AyUz5QAlw/n0RdHtktatW6Nly5bYtWsX+vTpg1u3buHYsWN6qwNAnTTVwlhHwVTH53JwcEBQUBC+/fZb5OSU79zKyMhQeFybNm1w//59uLi4oH79+nIPWQvpwoULmDFjBvr164emTZtCJBLJda5ook2bNrh16xZ8fX3LvY+VlRXq1asHU1NTuUCVnp6Oe/fuafU+6ly4cAEdO3bERx99hNatW6N+/fp8S1kRV1dXeHh44NGjR+Xq7efnB6Ck5RwVFYW0tDSF5zAzMys3bV7jxo2RkJCAhIQEftvt27eRkZGBJk2aqP0ckydPRkhICHbs2IHevXvLtUT1gQJkNRkW4IXwud0xtWtd9G/hgald6yJ8bneDTvEBqudzffvttyguLkb79u1x6NAh3L9/H3fu3MHGjRsRGBio8JgxY8bAyckJgwYNwrlz5xAbG4vTp09jxowZSExMBFDSOv35559x584d/PfffxgzZozWraZp06YhLS0No0aNwuXLl/Hw4UMcP34cEyZMQHFxMaytrTFp0iTMmzcP4eHhuHnzJoKDg3U+Jr5BgwaIjIzE8ePHce/ePfzf//0fLl++rPKYzz77DCtXrsTGjRtx79493LhxAzt27MA333wDABg1ahTc3NwwePBgXLhwAY8ePcKhQ4cQEREBAPD19UVsbCyioqKQmpqK/Px89O7dG82bN8eYMWNw9epVXLp0CePGjUO3bt0U3hYoa/To0UhMTMSPP/6IiRMnVv6LUYcRncvMzGQAWGZmZnVXRWN5eXns9u3bLC8vr7qrUiFPnz5l06ZNYz4+PszMzIzVqVOHDRw4kJ06dYovA4D99ttv/Otnz56xcePGMScnJyYSiVjdunXZlClT+L+3q1evsoCAAGZubs4aNGjADhw4wHx8fNi6deuUnpMxxmxtbdmOHTv41/fu3WNDhgxhdnZ2zMLCgvn7+7NZs2YxqVTKGGMsKyuLvffee8zS0pK5urqy1atXs27durGZM2eq/dyxsbEMALt27ZrKOr18+ZIFBwczW1tbZmdnxz788EO2cOFC1rJlS77MsmXL5F4zxtiePXtYq1atmJmZGbO3t2ddu3Zlhw8f5vfHxcWxoUOHMrFYzCwtLVlAQAD777//+PccOnQos7OzYwD47+Tx48ds4MCBzMrKitnY2LBhw4axpKQklfUobezYsczBwYG9fPlS5Xej6t+0pr9RjrEK3uUmSkkkEtja2iIzMxNisbi6q6ORly9fIjY2ls87I7XPokWLcO7cOZw/r3k6VnXo1asXmjZtio0bN6osp+rftKa/UeqkIaSWY4zh0aNHOHnyJFq3bl3d1VEqPT0dp0+fxunTp8slrOsLBUhCarnMzEw0adIE7dq1w6efflrd1VGqdevWSE9Px6pVqyqdBqUpCpCE1HJ2dnblhvDVRKWHgVYV6sUmhBAlKEASOdRnR4yFLv4tU4AkAF6PBqElX4mxkP1b1mSqN2XoHiQBUDJ8zM7Ojh9DbGlpScu+EoPEGENubi6eP38OOzs7fmhkRVCAJDzZrCuyIEmIIbOzs5ObSagiKEASHsdxcHd3h4uLCwoLC6u7OoRUmKmpaaVajjIUIEk5QqFQJ/+4CDF01ElDCCFKUIAkhBAlKEASQogSdA9SD2QJqhKJpJprQghRRPbbVJdMTgFSD7KysgBA77MdE0IqJysri59BXhGaD1IPpFIpnj59ChsbmxqVbC2RSODl5YWEhASDmadSn+j7kFebvg/GGLKysuDh4aFy9nZqQeqBQCCo9LKd+iQWi43+B6AN+j7k1ZbvQ1XLUYY6aQghRAkKkIQQogQFyFpEJBJh2bJlEIlE1V2VGoG+D3n0fZRHnTSEEKIEtSAJIUQJCpCEEKIEBUhCCFGCAiQhhChBAdLIffXVV+A4DrNmzeK3vXz5EtOmTYOjoyOsra0xdOhQJCcnV18l9ezJkyd477334OjoCAsLCzRv3hyRkZH8fsYYli5dCnd3d1hYWKB37964f/9+NdZYv4qLi/F///d/8PPzg4WFBerVq4cvvvhCblxybftOlGLEaF26dIn5+vqyFi1asJkzZ/LbP/jgA+bl5cVOnjzJIiMj2RtvvME6duxYfRXVo7S0NObj48OCg4PZf//9xx49esSOHz/OHjx4wJf56quvmK2tLTty5Ai7fv06GzhwIPPz82N5eXnVWHP9WbFiBXN0dGRHjx5lsbGx7MCBA8za2ppt2LCBL1PbvhNlKEAaqaysLNagQQMWFhbGunXrxgfIjIwMZmpqyg4cOMCXvXPnDgPAIiIiqqm2+rNgwQLWuXNnpfulUilzc3Nja9as4bdlZGQwkUjEfvnll6qoYpXr378/mzhxoty2d955h40ZM4YxVju/E2XoEttITZs2Df3790fv3r3ltl+5cgWFhYVy2/39/eHt7Y2IiIiqrqbe/fHHHwgICMCwYcPg4uKC1q1b48cff+T3x8bGIikpSe77sLW1RYcOHYzy+wCAjh074uTJk7h37x4A4Pr16zh//jzeeustALXzO1GGJqswQr/++iuuXr2Ky5cvl9uXlJQEMzMz2NnZyW13dXVFUlJSFdWw6jx69Ajff/895syZg08//RSXL1/GjBkzYGZmhvHjx/Of2dXVVe44Y/0+AGDhwoWQSCTw9/eHUChEcXExVqxYgTFjxgBArfxOlKEAaWQSEhIwc+ZMhIWFwdzcvLqrU+2kUikCAgLw5ZdfAgBat26NmzdvYsuWLRg/fnw116567N+/H3v27MHevXvRtGlTREVFYdasWfDw8Ki134kydIltZK5cuYLnz5+jTZs2MDExgYmJCc6cOYONGzfCxMQErq6uKCgoQEZGhtxxycnJlV5DuCZyd3dHkyZN5LY1btwY8fHxAF6vBV62F99Yvw8AmDdvHhYuXIiRI0eiefPmGDt2LGbPno2VK1cCqJ3fiTIUII1Mr169cOPGDURFRfGPgIAAjBkzhn9uamqKkydP8sfcvXsX8fHxCAwMrMaa60enTp1w9+5duW337t2Dj48PAMDPzw9ubm5y34dEIsF///1nlN8HAOTm5pabJFYoFEIqlQKond+JUtXdS0T0r3QvNmMlaT7e3t4sPDycRUZGssDAQBYYGFh9FdSjS5cuMRMTE7ZixQp2//59tmfPHmZpacl2797Nl/nqq6+YnZ0d+/3331l0dDQbNGiQUae0jB8/ntWpU4dP8zl8+DBzcnJi8+fP58vUtu9EGQqQtUDZAJmXl8c++ugjZm9vzywtLdmQIUPYs2fPqq+Cevbnn3+yZs2aMZFIxPz9/dnWrVvl9kulUvZ///d/zNXVlYlEItarVy929+7daqqt/kkkEjZz5kzm7e3NzM3NWd26ddnixYtZfn4+X6a2fSfK0HRnhBCiBN2DJIQQJShAEkKIEhQgCSFECQqQhBCiBAVIQghRggIkIYQoQQGSEEKUoABJCCFKUIAkpJKCg4MxePBg/nX37t3llrgghosCJKlyxcXF6NixI9555x257ZmZmfDy8sLixYtVHv/gwQNMmDABnp6eEIlE8PPzw6hRo+TWmalOhw8fxhdffKHTcy5fvhytWrXS6TmJehQgSZUTCoUICQlBaGgo9uzZw2+fPn06HBwcsGzZMqXHRkZGom3btrh37x5++OEH3L59G7/99hv8/f0xd+5cvda7sLBQo3IODg6wsbHRa11IFanuweCk9tqwYQOzt7dnT58+ZUeOHGGmpqYsKipKaXmpVMqaNm3K2rZty4qLi8vtT09P559HR0ezHj16MHNzc+bg4MCmTJnCsrKy+P3FxcXss88+Y3Xq1GFmZmasZcuW7O+//+b3x8bGMgDs119/ZV27dmUikYjt2LGDFRUVsdmzZzNbW1vm4ODA5s2bx8aNG8cGDRrEH1t2chAfHx+2YsUKNmHCBGZtbc28vLzYDz/8IFf3+fPnswYNGjALCwvm5+fHlixZwgoKChhjjO3YsYMBkHvs2LGD/8yTJk1iTk5OzMbGhvXo0UPld0i0QwGSVBupVMq6d+/OevXqxVxcXNgXX3yhsvzVq1cZALZ3716V5bKzs5m7uzt755132I0bN9jJkyeZn58fGz9+PF/mm2++YWKxmP3yyy8sJiaGzZ8/n5mamrJ79+4xxl4HSF9fX3bo0CH26NEj9vTpU7Zq1Spmb2/PDh06xG7fvs0mTZrEbGxs1AZIBwcH9u2337L79++zlStXMoFAwGJiYvgyX3zxBbtw4QKLjY1lf/zxB3N1dWWrVq1ijDGWm5vL5s6dy5o2bcqePXvGnj17xnJzcxljjPXu3Zu9/fbb7PLly+zevXts7ty5zNHRkb148UKTvwKiBgVIUq1kKyo2b96cFRYWqiy7b98+BoBdvXpVZbmtW7cye3t7lp2dzW87duwYEwgELCkpiTHGmIeHB1uxYoXcce3atWMfffQRY+x1gFy/fr1cGXd3d7Z69Wr+dWFhIfP09FQbIN977z3+tVQqZS4uLuz7779X+hnWrFnD2rZty79etmwZa9mypVyZc+fOMbFYzF6+fCm3vV69euVaqKRiaE0aUq22b98OS0tLxMbGIjExEb6+vkrLMg1n5rtz5w5atmwJKysrflunTp0glUpx9+5dWFhY4OnTp+jUqZPccZ06dcL169fltgUEBPDPMzMz8ezZM3To0IHfZmJigoCAALV1a9GiBf+c4zi4ubnh+fPn/LZ9+/Zh48aNePjwIbKzs1FUVASxWKzynNevX0d2djYcHR3ltufl5eHhw4cqjyWaoU4aUm0uXryIdevW4ejRo2jfvj0mTZqkMtA0bNgQABATE1NVVZQLspVhamoq95rjOH6Jg4iICIwZMwb9+vXD0aNHce3aNSxevBgFBQUqz5mdnQ13d3e55TWioqJw9+5dzJs3Tyf1ru0oQJJqkZubi+DgYHz44Yfo0aMHfvrpJ1y6dAlbtmxRekyrVq3QpEkTrF27lg8upckWImvcuDGuX7+OnJwcft+FCxcgEAjQqFEjiMVieHh44MKFC3LHX7hwodwCX6XZ2trC3d0d//33H7+tqKgIV65c0fRjK3Tx4kX4+Phg8eLFCAgIQIMGDfD48WO5MmZmZiguLpbb1qZNGyQlJcHExAT169eXezg5OVWqTqQEBUhSLRYtWgTGGL766isAgK+vL77++mvMnz8fcXFxCo/hOA47duzAvXv30KVLF/z111949OgRoqOjsWLFCgwaNAgAMGbMGJibm2P8+PG4efMmTp06henTp2Ps2LH8Ws/z5s3DqlWrsG/fPty9excLFy5EVFQUZs6cqbLeM2fOxFdffYUjR44gJiYGH330UbkVIrXVoEEDxMfH49dff8XDhw+xceNG/Pbbb3JlfH19ERsbi6ioKKSmpiI/Px+9e/dGYGAgBg8ejBMnTiAuLg4XL17E4sWLa0xOqMGr3lugpDY6ffo0EwqF7Ny5c+X29enTh/Xs2ZNJpVKlx9+9e5eNGzeOeXh4MDMzM+bj48NGjRol13mjSZrP8uXLWZ06dZipqanSNJ9r167JvXdhYSGbOXMmE4vFzM7Ojs2ZM0ejNJ9169bJnadly5Zs2bJl/Ot58+YxR0dHZm1tzUaMGMHWrVvHbG1t+f0vX75kQ4cOZXZ2dnJpPhKJhE2fPp15eHgwU1NT5uXlxcaMGcPi4+OVfn9Ec7QmDSGEKEGX2IQQogQFSEIIUYICJCGEKEEBkhBClKAASQghSlCAJIQQJShAEkKIEhQgCSFECQqQhBCiBAVIQghRggIkIYQo8f9ZJwTlgvKeUQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 300x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_trajectory(df_ball)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_low_y_coordinates(df):\n",
    "    # Copy to avoid modifying the original DataFrame\n",
    "    df_cleaned = df.copy()\n",
    "\n",
    "    # Convert 'y' to numeric in case it's not\n",
    "    df_cleaned[\"y\"] = pd.to_numeric(df_cleaned[\"y\"], errors=\"coerce\")\n",
    "\n",
    "    # Mask condition: where y < -1750\n",
    "    mask = (df_cleaned[\"y\"] > 1750) | (df_cleaned[\"y\"] < 0)\n",
    "\n",
    "    # Set x and y to NaN where the mask is True\n",
    "    df_cleaned.loc[mask, [\"x\", \"y\"]] = np.nan\n",
    "\n",
    "    return df_cleaned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_final = remove_low_y_coordinates(df_ball)\n",
    "plot_comparison(df_ball, df_final)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Post-processing on the points removing the outliers\n",
    "\n",
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Post-processing interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def median_filter(df, kernel_size=3):\n",
    "    df = df.copy()\n",
    "    # Apply a median filter to smooth the coordinates (kernel size 5 by default)\n",
    "    df[\"x\"] = medfilt(df[\"x\"], kernel_size=kernel_size)\n",
    "    df[\"y\"] = medfilt(df[\"y\"], kernel_size=kernel_size)\n",
    "\n",
    "    df = df[\n",
    "        df[\"x\"] > 0\n",
    "    ]  # Because I had the problem witht he point 0,0 (I don't know why)\n",
    "    df = df[df[\"y\"] > 0]\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Smooth the trajectory to reduce noise\n",
    "df_smoothed = median_filter(df_final)\n",
    "\n",
    "plot_trajectories(df_final, df_smoothed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Savitzky_Golay_filter(df, window_length=15, polyorder=1):\n",
    "    df = df.copy()\n",
    "    df[\"x\"] = savgol_filter(df[\"x\"], window_length=window_length, polyorder=polyorder)\n",
    "    df[\"y\"] = savgol_filter(df[\"y\"], window_length=window_length, polyorder=polyorder)\n",
    "    # Round the smoothed coordinates to integers\n",
    "    df[\"x\"] = df[\"x\"].round().astype(int)\n",
    "    df[\"y\"] = df[\"y\"].round().astype(int)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def interpolate_missing_coordinates(df):\n",
    "    # Copy and set \"frame\" as the index\n",
    "    df = df.copy().set_index(\"frame\")\n",
    "\n",
    "    # Create a new index that includes all frames from first to last\n",
    "    full_index = range(df.index.min(), df.index.max() + 1)\n",
    "    df_full = df.reindex(full_index)\n",
    "\n",
    "    # Interpolate missing 'x' and 'y' coordinates (linear interpolation)\n",
    "    df_full[\"x\"] = df_full[\"x\"].interpolate(method=\"linear\")\n",
    "    df_full[\"y\"] = df_full[\"y\"].interpolate(method=\"linear\")\n",
    "\n",
    "    # Fill any remaining NaN values using forward and backward filling\n",
    "    df_full[\"x\"] = df_full[\"x\"].bfill().ffill()\n",
    "    df_full[\"y\"] = df_full[\"y\"].bfill().ffill()\n",
    "\n",
    "    # Reset index to bring the \"frame\" column back\n",
    "    df_full = df_full.reset_index().rename(columns={\"index\": \"frame\"})\n",
    "\n",
    "    # Apply smoothing to ensure a smooth trajectory\n",
    "    df_full = Savitzky_Golay_filter(df_full)\n",
    "\n",
    "    return df_full"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Interpolate missing coordinates\n",
    "df_interpolated = interpolate_missing_coordinates(df_smoothed)\n",
    "\n",
    "# Now you can plot the result\n",
    "plot_trajectories(df_smoothed, df_interpolated)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save the smoothed and interpolated data\n",
    "# OUTPUT_CSV_PATH = str(PROJECT_ROOT / \"data\" / \"auxiliary_data\" / \"circle_positions\" / f\"Circle_positions_processed_{VIDEO_NUMBER}.csv\")\n",
    "# df_interpolated.to_csv(OUTPUT_CSV_PATH, index=False)\n",
    "\n",
    "# Save cleaned data\n",
    "# OUTPUT_CSV_PATH = str(PROJECT_ROOT / \"notebook\" / \"ball_detection\" / \"intermediate_data\" / f\"Circle_positions_cleaned_{VIDEO_NUMBER}.csv\")\n",
    "# df_cleaned.to_csv(OUTPUT_CSV_PATH, index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TODO: start and finish detection when the ball enters and exits the track (required track detection). How to know when the ball is arrived at the end?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do not do the interpolation with this data but with the data reconstructed on the lane reconstruction!!!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
