ruch_drgajacy.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.patches\n",
    "from matplotlib.collections import PatchCollection\n",
    "def get_angle_plot(angle, offset = 0.5, color = None, origin = [0,0], len_x_axis = 1, len_y_axis = 1):\n",
    "\n",
    "    # angle = angle / 180 * np.pi\n",
    "\n",
    "    if color is None:\n",
    "        color = 'k' \n",
    "    \n",
    "    arc = matplotlib.patches.Arc(xy=origin,\n",
    "                                 width=len_x_axis*offset, \n",
    "                                 height=len_y_axis*offset,\n",
    "                                 angle=0,\n",
    "                                 theta1=0,\n",
    "                                 theta2=angle,\n",
    "                                 alpha=1,\n",
    "                                 color=color,\n",
    "                                 label=str(angle)+u\"\\u00b0\")\n",
    "                                 \n",
    "    p = PatchCollection([arc], alpha=0.4)\n",
    "    p.set_array(np.array('k'))\n",
    "\n",
    "    return p\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def add_angle(ax,\n",
    "              angle,\n",
    "              offset =[0.5],\n",
    "              color = None,\n",
    "              origin = [0,0],\n",
    "              len_x_axis = 1,\n",
    "              len_y_axis = 1,\n",
    "              up_angle_annot=True,\n",
    "              projections=True,\n",
    "              projection_annotation=True,\n",
    "              dot_annotation=True):\n",
    "\n",
    "    # angle = angle / 180 * np.pi\n",
    "\n",
    "    if color is None:\n",
    "        color = 'k' \n",
    "\n",
    "\n",
    "    if up_angle_annot:\n",
    "        for os in offset:\n",
    "            arc = matplotlib.patches.Arc(xy=origin,\n",
    "                                    width=len_x_axis*os, \n",
    "                                    height=len_y_axis*os,\n",
    "                                    angle=0,\n",
    "                                    theta1=0,\n",
    "                                    theta2=angle,\n",
    "                                    alpha=1,\n",
    "                                    color=color)\n",
    "            ax.add_patch(arc)\n",
    "    else:\n",
    "        for os in offset:\n",
    "            arc = matplotlib.patches.Arc(xy=origin,\n",
    "                                    width=len_x_axis*os, \n",
    "                                    height=len_y_axis*os,\n",
    "                                    angle=0,\n",
    "                                    theta1=-abs(angle),\n",
    "                                    theta2=0,\n",
    "                                    alpha=1,\n",
    "                                    color=color)\n",
    "            ax.add_patch(arc)\n",
    "\n",
    "    angle_rad = angle / 180 * np.pi\n",
    "    ax.text(x=len_x_axis*offset[-1]*.5*np.cos(angle_rad / 2),\n",
    "            y=len_x_axis*offset[-1]*.5*np.sin(angle_rad / 2),\n",
    "            s=str(angle)+u\"\\u00b0\",\n",
    "            color=color,\n",
    "            size=16)\n",
    "\n",
    "    ax.plot([0, np.cos(angle_rad)], [0, np.sin(angle_rad)], c=color, lw=1)\n",
    "\n",
    "    if dot_annotation:\n",
    "        ax.text(x=np.cos(angle_rad) + 0.05,\n",
    "                y=np.sin(angle_rad)+0.05,\n",
    "                s=r'$\\left(\\cos({angle}^\\circ), \\sin({angle}^\\circ)\\right)$'.format(angle=angle),\n",
    "                size=12,\n",
    "                color=color)\n",
    "\n",
    "\n",
    "    if projections:\n",
    "        ax.plot([np.cos(angle_rad), np.cos(angle_rad)], [0, np.sin(angle_rad)], c=color, lw=0.7, ls='--')\n",
    "        ax.plot([0, np.cos(angle_rad)], [np.sin(angle_rad), np.sin(angle_rad)], c=color, lw=0.7, ls='--')\n",
    "        if projection_annotation:\n",
    "            ax.text(x=np.cos(angle_rad),\n",
    "                    y=-0.08,\n",
    "                    s=f'$x$',\n",
    "                    size=12,\n",
    "                    color=color)\n",
    "            ax.text(x=-0.08,\n",
    "                    y=np.sin(angle_rad),\n",
    "                    s=f'$y$',\n",
    "                    size=12,\n",
    "                    color=color)\n",
    "\n",
    "\n",
    "\n",
    "                                "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x576 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"465.958125pt\" version=\"1.1\" viewBox=\"0 0 938.482812 465.958125\" width=\"938.482812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 465.958125 \nL 938.482812 465.958125 \nL 938.482812 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 38.482813 442.08 \nL 931.282812 442.08 \nL 931.282812 7.2 \nL 38.482813 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m129e57f047\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"79.064631\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(75.883381 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"180.519176\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(177.337926 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"281.973722\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(278.792472 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"383.428267\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(380.247017 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"484.882812\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(481.701562 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"586.337358\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(583.156108 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"687.791903\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(684.610653 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"789.246449\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 7 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(786.065199 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"890.700994\" xlink:href=\"#m129e57f047\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g transform=\"translate(887.519744 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mb6493989fb\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb6493989fb\" y=\"384.867676\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −1.0 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(7.2 388.666894)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb6493989fb\" y=\"304.753838\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −0.5 -->\n      <g transform=\"translate(7.2 308.553057)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb6493989fb\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.0 -->\n      <g transform=\"translate(15.579688 228.439219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb6493989fb\" y=\"144.526162\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.5 -->\n      <g transform=\"translate(15.579688 148.325381)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb6493989fb\" y=\"64.412324\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 1.0 -->\n      <g transform=\"translate(15.579688 68.211543)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 79.064631 466.958125 \nL 79.064631 7.200327 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 224.64 \nL 939.482812 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_17\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 384.867676 \nL 931.282812 384.867676 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_18\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 368.844908 \nL 931.282812 368.844908 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 352.822141 \nL 931.282812 352.822141 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 336.799373 \nL 931.282812 336.799373 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 320.776605 \nL 931.282812 320.776605 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 304.753838 \nL 931.282812 304.753838 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 288.73107 \nL 931.282812 288.73107 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 272.708303 \nL 931.282812 272.708303 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 256.685535 \nL 931.282812 256.685535 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 240.662768 \nL 931.282812 240.662768 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 224.64 \nL 931.282812 224.64 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 208.617232 \nL 931.282812 208.617232 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 192.594465 \nL 931.282812 192.594465 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 176.571697 \nL 931.282812 176.571697 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 160.54893 \nL 931.282812 160.54893 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 144.526162 \nL 931.282812 144.526162 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 128.503395 \nL 931.282812 128.503395 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_34\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 112.480627 \nL 931.282812 112.480627 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_35\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 96.457859 \nL 931.282812 96.457859 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_36\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 38.482813 80.435092 \nL 931.282812 80.435092 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_37\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 79.064631 229.44683 \nL 79.064631 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_38\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 180.519176 229.44683 \nL 180.519176 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_39\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 281.973722 229.44683 \nL 281.973722 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_40\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 383.428267 229.44683 \nL 383.428267 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_41\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 484.882812 229.44683 \nL 484.882812 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_42\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 586.337358 229.44683 \nL 586.337358 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_43\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 687.791903 229.44683 \nL 687.791903 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_44\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 789.246449 229.44683 \nL 789.246449 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_45\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 890.700994 229.44683 \nL 890.700994 219.83317 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_46\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 79.064631 224.64 \nL 93.688709 206.655132 \nL 101.813197 197.002846 \nL 108.312788 189.588352 \nL 113.99993 183.389121 \nL 119.687071 177.509513 \nL 124.561764 172.758849 \nL 129.436457 168.303574 \nL 134.31115 164.169056 \nL 138.373394 160.985686 \nL 142.435638 158.054034 \nL 146.497882 155.385693 \nL 150.560126 152.991214 \nL 154.62237 150.880066 \nL 158.684614 149.060598 \nL 161.93441 147.819907 \nL 165.184205 146.773659 \nL 168.434 145.924502 \nL 171.683795 145.274586 \nL 174.933591 144.825555 \nL 178.183386 144.578546 \nL 181.433181 144.534184 \nL 184.682976 144.692581 \nL 187.932772 145.053338 \nL 191.182567 145.615539 \nL 194.432362 146.377763 \nL 197.682157 147.33808 \nL 200.931953 148.49406 \nL 204.181748 149.842776 \nL 208.243992 151.79446 \nL 212.306236 154.034208 \nL 216.36848 156.553162 \nL 220.430724 159.341363 \nL 224.492968 162.387783 \nL 228.555212 165.680376 \nL 233.429905 169.938038 \nL 238.304598 174.50715 \nL 243.179291 179.361696 \nL 248.866432 185.349135 \nL 255.366023 192.561885 \nL 262.678062 201.060426 \nL 271.614999 211.846226 \nL 287.863975 231.936049 \nL 298.42581 244.82693 \nL 306.550298 254.394042 \nL 313.049889 261.716229 \nL 318.73703 267.817851 \nL 324.424172 273.58492 \nL 329.298865 278.227896 \nL 334.173558 282.565764 \nL 339.048251 286.573828 \nL 343.110495 289.645424 \nL 347.172739 292.45996 \nL 351.234983 295.006305 \nL 355.297227 297.274391 \nL 359.359471 299.255248 \nL 363.421715 300.941043 \nL 366.67151 302.072714 \nL 369.921306 303.008392 \nL 373.171101 303.745709 \nL 376.420896 304.282797 \nL 379.670691 304.618298 \nL 382.920487 304.751362 \nL 386.170282 304.681653 \nL 389.420077 304.409346 \nL 392.669872 303.935132 \nL 395.919668 303.26021 \nL 399.169463 302.386289 \nL 402.419258 301.315581 \nL 405.669053 300.050795 \nL 409.731297 298.201816 \nL 413.793541 296.061941 \nL 417.855785 293.639631 \nL 421.91803 290.944466 \nL 425.980274 287.987104 \nL 430.042518 284.779239 \nL 434.917211 280.617066 \nL 439.791903 276.136182 \nL 444.666596 271.362102 \nL 450.353738 265.458121 \nL 456.04088 259.23787 \nL 462.54047 251.803668 \nL 470.664958 242.133503 \nL 481.226793 229.172444 \nL 500.725564 205.185381 \nL 508.850052 195.589023 \nL 515.349643 188.235411 \nL 521.036785 182.100706 \nL 526.723926 176.295606 \nL 531.598619 171.616317 \nL 536.473312 167.238922 \nL 541.348005 163.188345 \nL 545.410249 160.079213 \nL 549.472493 157.225383 \nL 553.534737 154.638141 \nL 557.596981 152.327718 \nL 561.659225 150.303249 \nL 565.721469 148.572741 \nL 568.971265 147.404625 \nL 572.22106 146.432002 \nL 575.470855 145.657336 \nL 578.72065 145.082586 \nL 581.970446 144.709207 \nL 585.220241 144.538145 \nL 588.470036 144.569832 \nL 591.719831 144.804189 \nL 594.969627 145.240622 \nL 598.219422 145.878026 \nL 601.469217 146.714788 \nL 604.719012 147.74879 \nL 607.968808 148.977415 \nL 612.031052 150.7821 \nL 616.093296 152.878853 \nL 620.15554 155.259381 \nL 624.217784 157.914271 \nL 628.280028 160.833025 \nL 632.342272 164.004099 \nL 637.216965 168.124729 \nL 642.091658 172.567133 \nL 646.966351 177.306018 \nL 652.653492 183.173353 \nL 658.340634 189.361983 \nL 664.840224 196.766512 \nL 672.152264 205.429873 \nL 681.90165 217.343951 \nL 704.650216 245.314142 \nL 712.774704 254.861284 \nL 719.274295 262.16216 \nL 724.961437 268.241425 \nL 730.648578 273.982854 \nL 735.523271 278.601391 \nL 740.397964 282.912694 \nL 745.272657 286.892217 \nL 749.334901 289.938637 \nL 753.397145 292.726838 \nL 757.459389 295.245792 \nL 761.521633 297.48554 \nL 765.583877 299.437224 \nL 769.646121 301.093127 \nL 772.895917 302.200446 \nL 776.145712 303.111448 \nL 779.395507 303.823828 \nL 782.645302 304.335781 \nL 785.895098 304.646014 \nL 789.144893 304.753739 \nL 792.394688 304.658685 \nL 795.644483 304.361091 \nL 798.894279 303.861713 \nL 802.144074 303.161812 \nL 805.393869 302.263161 \nL 808.643664 301.168035 \nL 811.89346 299.879205 \nL 815.955704 298.000788 \nL 820.017948 295.83227 \nL 824.080192 293.382226 \nL 828.142436 290.660344 \nL 832.20468 287.677389 \nL 836.266924 284.445155 \nL 841.141617 280.255491 \nL 846.01631 275.749176 \nL 850.891003 270.951868 \nL 856.578144 265.023748 \nL 862.265286 258.782724 \nL 868.764876 251.329107 \nL 876.889365 241.641445 \nL 888.263648 227.662526 \nL 890.700994 224.64 \nL 890.700994 224.64 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_47\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 79.064631 98.797478 \nL 81.501977 98.887071 \nL 83.939324 99.155725 \nL 86.37667 99.603055 \nL 88.814016 100.228426 \nL 91.251363 101.030946 \nL 94.501158 102.374529 \nL 97.750953 104.027583 \nL 101.000749 105.985924 \nL 104.250544 108.244596 \nL 107.500339 110.797882 \nL 110.750134 113.639319 \nL 113.99993 116.761715 \nL 117.249725 120.157167 \nL 121.311969 124.772308 \nL 125.374213 129.782371 \nL 129.436457 135.167544 \nL 133.498701 140.90653 \nL 138.373394 148.228301 \nL 143.248087 155.985128 \nL 148.12278 164.132846 \nL 153.809921 174.070561 \nL 160.309512 185.903102 \nL 167.621551 199.677083 \nL 178.183386 220.089963 \nL 195.244811 253.08335 \nL 202.55685 266.749668 \nL 209.056441 278.450201 \nL 214.743582 288.245457 \nL 219.618275 296.251913 \nL 224.492968 303.850642 \nL 229.367661 310.998379 \nL 233.429905 316.580875 \nL 237.492149 321.799797 \nL 241.554393 326.634506 \nL 245.616637 331.065882 \nL 248.866432 334.308754 \nL 252.116228 337.274038 \nL 255.366023 339.954228 \nL 258.615818 342.342542 \nL 261.865613 344.432933 \nL 265.115409 346.220111 \nL 268.365204 347.699552 \nL 271.614999 348.867511 \nL 274.052346 349.537263 \nL 276.489692 350.029173 \nL 278.927039 350.342541 \nL 281.364385 350.476922 \nL 283.801731 350.432123 \nL 286.239078 350.208209 \nL 288.676424 349.805498 \nL 291.113771 349.224564 \nL 293.551117 348.466233 \nL 296.800912 347.181079 \nL 300.050708 345.585756 \nL 303.300503 343.684302 \nL 306.550298 341.481529 \nL 309.800093 338.983013 \nL 313.049889 336.195078 \nL 316.299684 333.124781 \nL 319.549479 329.779893 \nL 323.611723 325.225603 \nL 327.673967 320.273553 \nL 331.736211 314.943324 \nL 335.798455 309.255997 \nL 340.673148 301.991592 \nL 345.547841 294.286781 \nL 350.422534 286.18543 \nL 356.109676 276.294322 \nL 362.609266 264.504736 \nL 369.921306 250.765421 \nL 380.48314 230.376266 \nL 398.357014 195.81129 \nL 405.669053 182.157613 \nL 412.168644 170.472328 \nL 417.855785 160.693387 \nL 422.730478 152.703025 \nL 427.605171 145.122241 \nL 432.479864 137.994197 \nL 436.542108 132.429366 \nL 440.604352 127.229177 \nL 444.666596 122.414194 \nL 448.72884 118.003457 \nL 451.978636 114.777702 \nL 455.228431 111.830024 \nL 458.478226 109.167885 \nL 461.728021 106.798022 \nL 464.977817 104.726434 \nL 468.227612 102.958365 \nL 471.477407 101.49829 \nL 474.727202 100.349905 \nL 477.164549 99.694941 \nL 479.601895 99.217886 \nL 482.039242 98.919419 \nL 484.476588 98.799967 \nL 486.913935 98.859698 \nL 489.351281 99.098528 \nL 491.788627 99.516116 \nL 494.225974 100.111868 \nL 496.66332 100.884936 \nL 499.913116 102.189579 \nL 503.162911 103.804162 \nL 506.412706 105.724598 \nL 509.662501 107.946026 \nL 512.912297 110.462824 \nL 516.162092 113.26862 \nL 519.411887 116.356314 \nL 522.661682 119.71809 \nL 526.723926 124.292709 \nL 530.78617 129.264146 \nL 534.848414 134.612742 \nL 538.910659 140.317346 \nL 543.785351 147.600945 \nL 548.660044 155.323171 \nL 553.534737 163.440058 \nL 559.221879 173.346799 \nL 565.721469 185.15082 \nL 573.033509 198.901827 \nL 583.595343 219.299092 \nL 600.656768 252.311792 \nL 608.781256 267.494687 \nL 615.280847 279.164608 \nL 620.967989 288.927136 \nL 625.842681 296.901326 \nL 630.717374 304.464091 \nL 635.592067 311.572371 \nL 639.654311 317.119481 \nL 643.716555 322.300885 \nL 647.778799 327.096095 \nL 651.841043 331.486148 \nL 655.090839 334.694756 \nL 658.340634 337.624799 \nL 661.590429 340.268861 \nL 664.840224 342.620249 \nL 668.09002 344.673013 \nL 671.339815 346.421955 \nL 674.58961 347.862649 \nL 677.839405 348.991449 \nL 680.276752 349.63162 \nL 682.714098 350.093815 \nL 685.151445 350.377376 \nL 687.588791 350.4819 \nL 690.026138 350.407237 \nL 692.463484 350.153494 \nL 694.900831 349.721033 \nL 697.338177 349.110468 \nL 699.775523 348.32267 \nL 703.025319 346.998551 \nL 706.275114 345.364725 \nL 709.524909 343.425326 \nL 712.774704 341.185265 \nL 716.0245 338.650211 \nL 719.274295 335.82658 \nL 722.52409 332.72152 \nL 725.773885 329.34289 \nL 729.836129 324.747986 \nL 733.898374 319.757211 \nL 737.960618 314.390301 \nL 742.022862 308.668477 \nL 746.897555 301.365756 \nL 751.772247 293.626192 \nL 756.64694 285.493849 \nL 762.334082 275.571572 \nL 768.833672 263.753232 \nL 776.145712 249.99067 \nL 786.707546 229.585497 \nL 803.768971 196.58229 \nL 811.081011 182.903468 \nL 817.580601 171.187802 \nL 823.267743 161.376328 \nL 828.142436 153.353857 \nL 833.017129 145.737259 \nL 837.891822 138.5699 \nL 841.954066 132.969792 \nL 846.01631 127.732189 \nL 850.078554 122.877803 \nL 854.140798 118.42583 \nL 857.390593 115.165875 \nL 860.640388 112.183015 \nL 863.890184 109.484799 \nL 867.139979 107.078059 \nL 870.389774 104.968884 \nL 873.639569 103.162615 \nL 876.889365 101.663822 \nL 880.13916 100.476301 \nL 882.576506 99.791769 \nL 885.013853 99.285008 \nL 887.451199 98.956741 \nL 889.888546 98.807434 \nL 890.700994 98.797478 \nL 890.700994 98.797478 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_48\">\n    <path clip-path=\"url(#p9b68798747)\" d=\"M 79.064631 224.64 \nL 92.87626 266.589384 \nL 100.1883 288.143103 \nL 106.68789 306.627787 \nL 112.375032 322.127578 \nL 117.249725 334.816307 \nL 122.124418 346.87774 \nL 126.186662 356.400088 \nL 130.248906 365.401398 \nL 134.31115 373.846075 \nL 138.373394 381.700724 \nL 141.623189 387.53867 \nL 144.872984 392.964295 \nL 148.12278 397.963867 \nL 151.372575 402.524731 \nL 154.62237 406.635343 \nL 157.059717 409.416521 \nL 159.497063 411.934596 \nL 161.93441 414.185982 \nL 164.371756 416.167474 \nL 166.809102 417.876249 \nL 169.246449 419.309875 \nL 171.683795 420.46631 \nL 174.121142 421.343909 \nL 176.558488 421.94142 \nL 178.995835 422.257994 \nL 181.433181 422.293179 \nL 183.870527 422.046926 \nL 186.307874 421.519585 \nL 188.74522 420.711907 \nL 191.182567 419.625042 \nL 193.619913 418.260537 \nL 196.05726 416.620336 \nL 198.494606 414.706775 \nL 200.931953 412.522577 \nL 203.369299 410.070853 \nL 205.806645 407.355093 \nL 209.056441 403.330097 \nL 212.306236 398.85281 \nL 215.556031 393.934565 \nL 218.805826 388.58781 \nL 222.055622 382.82608 \nL 225.305417 376.663958 \nL 229.367661 368.422109 \nL 233.429905 359.611682 \nL 237.492149 350.267516 \nL 241.554393 340.426563 \nL 246.429086 328.016583 \nL 251.303779 315.01802 \nL 256.990921 299.20803 \nL 263.490511 280.439348 \nL 271.614999 256.207371 \nL 284.61418 216.561066 \nL 296.800912 179.658573 \nL 304.112952 158.201473 \nL 310.612542 139.834272 \nL 316.299684 124.460715 \nL 321.174377 111.896827 \nL 326.04907 99.974851 \nL 330.111314 90.57931 \nL 334.173558 81.713905 \nL 338.235802 73.413694 \nL 341.485597 67.202599 \nL 344.735392 61.390001 \nL 347.985188 55.990613 \nL 351.234983 51.018101 \nL 354.484778 46.485051 \nL 357.734573 42.402937 \nL 360.17192 39.643538 \nL 362.609266 37.147555 \nL 365.046613 34.918543 \nL 367.483959 32.959676 \nL 369.921306 31.273742 \nL 372.358652 29.863143 \nL 374.795998 28.729886 \nL 377.233345 27.875587 \nL 379.670691 27.30146 \nL 382.108038 27.008323 \nL 384.545384 26.996595 \nL 386.982731 27.266291 \nL 389.420077 27.817028 \nL 391.857423 28.648021 \nL 394.29477 29.758087 \nL 396.732116 31.145646 \nL 399.169463 32.808721 \nL 401.606809 34.744945 \nL 404.044156 36.951561 \nL 406.481502 39.425427 \nL 408.918849 42.16302 \nL 412.168644 46.216595 \nL 415.418439 50.721786 \nL 418.668234 55.667189 \nL 421.91803 61.040286 \nL 425.167825 66.827479 \nL 428.41762 73.014118 \nL 432.479864 81.285189 \nL 436.542108 90.123149 \nL 440.604352 99.493049 \nL 445.479045 111.386779 \nL 450.353738 123.925324 \nL 455.228431 137.037297 \nL 460.915573 152.959587 \nL 467.415163 171.829172 \nL 475.539651 196.144664 \nL 505.600257 286.964497 \nL 512.099848 305.494895 \nL 517.786989 321.044109 \nL 522.661682 333.781899 \nL 527.536375 345.898281 \nL 531.598619 355.470694 \nL 535.660863 364.525745 \nL 539.723107 373.027625 \nL 543.785351 380.942715 \nL 547.035147 386.831182 \nL 550.284942 392.30912 \nL 553.534737 397.362663 \nL 556.784532 401.97902 \nL 560.034328 406.146506 \nL 562.471674 408.97116 \nL 564.909021 411.533345 \nL 567.346367 413.829412 \nL 569.783713 415.856092 \nL 572.22106 417.6105 \nL 574.658406 419.090136 \nL 577.095753 420.292895 \nL 579.533099 421.217064 \nL 581.970446 421.861326 \nL 584.407792 422.224765 \nL 586.845138 422.306863 \nL 589.282485 422.107502 \nL 591.719831 421.626968 \nL 594.157178 420.865944 \nL 596.594524 419.825513 \nL 599.031871 418.507158 \nL 601.469217 416.912755 \nL 603.906564 415.044574 \nL 606.34391 412.905277 \nL 608.781256 410.497908 \nL 611.218603 407.825896 \nL 613.655949 404.893046 \nL 616.905745 400.584101 \nL 620.15554 395.829815 \nL 623.405335 390.642223 \nL 626.65513 385.034456 \nL 629.904926 379.020707 \nL 633.96717 370.955892 \nL 638.029414 362.31248 \nL 642.091658 353.124649 \nL 646.153902 343.428733 \nL 651.028595 331.177078 \nL 655.903288 318.318847 \nL 661.590429 302.648773 \nL 668.09002 284.007297 \nL 675.402059 262.32727 \nL 685.963894 230.233919 \nL 702.21287 180.870098 \nL 709.524909 159.373712 \nL 716.0245 140.958971 \nL 721.711641 125.534463 \nL 726.586334 112.920264 \nL 731.461027 100.94215 \nL 735.523271 91.495605 \nL 739.585515 82.575573 \nL 743.647759 74.217327 \nL 747.710003 66.45392 \nL 750.959799 60.69219 \nL 754.209594 55.345435 \nL 757.459389 50.42719 \nL 760.709184 45.949903 \nL 763.95898 41.924907 \nL 766.396326 39.209147 \nL 768.833672 36.757423 \nL 771.271019 34.573225 \nL 773.708365 32.659664 \nL 776.145712 31.019463 \nL 778.583058 29.654958 \nL 781.020405 28.568093 \nL 783.457751 27.760415 \nL 785.895098 27.233074 \nL 788.332444 26.986821 \nL 790.76979 27.022006 \nL 793.207137 27.33858 \nL 795.644483 27.936091 \nL 798.08183 28.81369 \nL 800.519176 29.970125 \nL 802.956523 31.403751 \nL 805.393869 33.112526 \nL 807.831215 35.094018 \nL 810.268562 37.345404 \nL 812.705908 39.863479 \nL 815.143255 42.644657 \nL 818.39305 46.755269 \nL 821.642845 51.316133 \nL 824.892641 56.315705 \nL 828.142436 61.74133 \nL 831.392231 67.579276 \nL 834.642026 73.814765 \nL 838.70427 82.144035 \nL 842.766514 91.036797 \nL 846.828758 100.457886 \nL 851.703451 112.407991 \nL 856.578144 124.997096 \nL 862.265286 140.396205 \nL 867.952428 156.448056 \nL 874.452018 175.432565 \nL 883.388955 202.309107 \nL 890.700994 224.64 \nL 890.700994 224.64 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 38.482813 442.08 \nL 38.482813 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 931.282812 442.08 \nL 931.282812 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 38.482813 442.08 \nL 931.282812 442.08 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 38.482813 7.2 \nL 931.282812 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- $0s$ -->\n    <defs>\n     <path d=\"M 50 53.078125 \nL 48.296875 44.578125 \nQ 44.734375 46.53125 40.765625 47.5 \nQ 36.8125 48.484375 32.625 48.484375 \nQ 25.53125 48.484375 21.453125 46.0625 \nQ 17.390625 43.65625 17.390625 39.5 \nQ 17.390625 34.671875 26.859375 32.078125 \nQ 27.59375 31.890625 27.9375 31.78125 \nL 30.8125 30.90625 \nQ 39.796875 28.421875 42.796875 25.6875 \nQ 45.796875 22.953125 45.796875 18.21875 \nQ 45.796875 9.515625 38.890625 4.046875 \nQ 31.984375 -1.421875 20.796875 -1.421875 \nQ 16.453125 -1.421875 11.671875 -0.578125 \nQ 6.890625 0.25 1.125 2 \nL 2.875 11.28125 \nQ 7.8125 8.734375 12.59375 7.421875 \nQ 17.390625 6.109375 21.78125 6.109375 \nQ 28.375 6.109375 32.5 8.9375 \nQ 36.625 11.765625 36.625 16.109375 \nQ 36.625 20.796875 25.78125 23.6875 \nL 24.859375 23.921875 \nL 21.78125 24.703125 \nQ 14.9375 26.515625 11.765625 29.46875 \nQ 8.59375 32.421875 8.59375 37.015625 \nQ 8.59375 45.75 15.15625 50.875 \nQ 21.734375 56 33.015625 56 \nQ 37.453125 56 41.671875 55.265625 \nQ 45.90625 54.546875 50 53.078125 \nz\n\" id=\"DejaVuSans-Oblique-115\"/>\n    </defs>\n    <g transform=\"translate(81.093722 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- $1s$ -->\n    <g transform=\"translate(182.548267 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- $2s$ -->\n    <g transform=\"translate(284.002813 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- $3s$ -->\n    <g transform=\"translate(385.457358 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- $4s$ -->\n    <g transform=\"translate(486.911903 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- $5s$ -->\n    <g transform=\"translate(588.366449 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- $6s$ -->\n    <g transform=\"translate(689.820994 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- $7s$ -->\n    <g transform=\"translate(791.27554 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_23\">\n    <!-- $8s$ -->\n    <g transform=\"translate(892.730085 240.662768)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 874.382812 59.234375 \nL 924.282812 59.234375 \nQ 926.282812 59.234375 926.282812 57.234375 \nL 926.282812 14.2 \nQ 926.282812 12.2 924.282812 12.2 \nL 874.382812 12.2 \nQ 872.382812 12.2 872.382812 14.2 \nL 872.382812 57.234375 \nQ 872.382812 59.234375 874.382812 59.234375 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_49\">\n     <path d=\"M 876.382812 20.298437 \nL 896.382812 20.298437 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_50\"/>\n    <g id=\"text_24\">\n     <!-- $x(t)$ -->\n     <defs>\n      <path d=\"M 60.015625 54.6875 \nL 34.90625 27.875 \nL 50.296875 0 \nL 39.984375 0 \nL 28.421875 21.6875 \nL 8.296875 0 \nL -2.59375 0 \nL 24.3125 28.8125 \nL 10.015625 54.6875 \nL 20.3125 54.6875 \nL 30.8125 34.90625 \nL 49.125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-120\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 42.28125 54.6875 \nL 40.921875 47.703125 \nL 23 47.703125 \nL 17.1875 18.015625 \nQ 16.890625 16.359375 16.75 15.234375 \nQ 16.609375 14.109375 16.609375 13.484375 \nQ 16.609375 10.359375 18.484375 8.9375 \nQ 20.359375 7.515625 24.515625 7.515625 \nL 33.59375 7.515625 \nL 32.078125 0 \nL 23.484375 0 \nQ 15.484375 0 11.546875 3.125 \nQ 7.625 6.25 7.625 12.59375 \nQ 7.625 13.71875 7.765625 15.0625 \nQ 7.90625 16.40625 8.203125 18.015625 \nL 14.015625 47.703125 \nL 6.390625 47.703125 \nL 7.8125 54.6875 \nL 15.28125 54.6875 \nL 18.3125 70.21875 \nL 27.296875 70.21875 \nL 24.3125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-116\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(904.382812 23.798437)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n      <use transform=\"translate(59.179688 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(98.193359 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(137.402344 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_51\">\n     <path d=\"M 876.382812 34.976562 \nL 896.382812 34.976562 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_52\"/>\n    <g id=\"text_25\">\n     <!-- $v(t)$ -->\n     <defs>\n      <path d=\"M 7.171875 54.6875 \nL 16.703125 54.6875 \nL 24.703125 8.203125 \nL 50.875 54.6875 \nL 60.40625 54.6875 \nL 29.296875 0 \nL 17.1875 0 \nz\n\" id=\"DejaVuSans-Oblique-118\"/>\n     </defs>\n     <g transform=\"translate(904.382812 38.476562)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-118\"/>\n      <use transform=\"translate(59.179688 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(98.193359 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(137.402344 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_53\">\n     <path d=\"M 876.382812 49.654687 \nL 896.382812 49.654687 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_54\"/>\n    <g id=\"text_26\">\n     <!-- $a(t)$ -->\n     <defs>\n      <path d=\"M 53.71875 31.203125 \nL 47.609375 0 \nL 38.625 0 \nL 40.28125 8.296875 \nQ 36.328125 3.421875 31.265625 1 \nQ 26.21875 -1.421875 20.015625 -1.421875 \nQ 13.03125 -1.421875 8.5625 2.84375 \nQ 4.109375 7.125 4.109375 13.8125 \nQ 4.109375 23.390625 11.75 28.953125 \nQ 19.390625 34.515625 32.8125 34.515625 \nL 45.3125 34.515625 \nL 45.796875 36.921875 \nQ 45.90625 37.3125 45.953125 37.765625 \nQ 46 38.234375 46 39.203125 \nQ 46 43.5625 42.453125 45.96875 \nQ 38.921875 48.390625 32.515625 48.390625 \nQ 28.125 48.390625 23.5 47.265625 \nQ 18.890625 46.140625 14.015625 43.890625 \nL 15.578125 52.203125 \nQ 20.65625 54.109375 25.515625 55.046875 \nQ 30.375 56 34.90625 56 \nQ 44.578125 56 49.625 51.796875 \nQ 54.6875 47.609375 54.6875 39.59375 \nQ 54.6875 37.984375 54.4375 35.8125 \nQ 54.203125 33.640625 53.71875 31.203125 \nz\nM 44 27.484375 \nL 35.015625 27.484375 \nQ 23.96875 27.484375 18.671875 24.53125 \nQ 13.375 21.578125 13.375 15.375 \nQ 13.375 11.078125 16.078125 8.640625 \nQ 18.796875 6.203125 23.578125 6.203125 \nQ 30.90625 6.203125 36.375 11.453125 \nQ 41.84375 16.703125 43.609375 25.484375 \nz\n\" id=\"DejaVuSans-Oblique-97\"/>\n     </defs>\n     <g transform=\"translate(904.382812 53.154687)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-97\"/>\n      <use transform=\"translate(61.279297 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(100.292969 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(139.501953 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p9b68798747\">\n   <rect height=\"434.88\" width=\"892.8\" x=\"38.482813\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "xmin, xmax = 0, 8\n",
    "# xmin, xmax = 0, np.pi/2\n",
    "x = np.linspace(xmin, xmax, 1000)\n",
    "y = np.sin(x)\n",
    "ymin, ymax = np.min(y), np.max(y)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 8))\n",
    "ax = fig.gca()\n",
    "\n",
    "ax.axvline(x=0, ymin=ymin, ymax=ymax, lw=1, color='k')\n",
    "ax.axhline(y=0, xmin=xmin, xmax=xmax, lw=1, color='k')\n",
    "\n",
    "for xt in np.arange(0, xmin, xmax):\n",
    "    ax.axvline(x=xt, ymin=ymin, ymax=ymax, lw=1, ls='-.' if xt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for yt in np.arange(-1, 1, 0.1):\n",
    "    ax.axhline(y=yt, lw=1, ls='-.' if yt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for t,l in zip(np.arange(xmin, xmax+1, 1),\n",
    "[f'${a}s$' for a in np.arange(0, 9, 1)]):\n",
    "    ax.plot([t,t],[-0.03,0.03], c='k', lw=0.8)\n",
    "    ax.text(t+0.02, -0.1,s=l)\n",
    "\n",
    "# ax.plot(x, np.sin(x), c='g', label='$\\sin(x)$', lw=2)\n",
    "ax.plot(x, 0.5*np.sin(2*np.pi/4*x), c='r', label='$x(t)$', lw=2)\n",
    "ax.plot(x, 0.5*2*np.pi/4*np.cos(2*np.pi/4*x), c='g', label='$v(t)$', lw=2)\n",
    "ax.plot(x, -0.5*(2*np.pi/4)**2*np.sin(2*np.pi/4*x), c='b', label='$a(t)$', lw=2)\n",
    "\n",
    "ax.legend()\n",
    "plt.savefig('./pics/ruch_drag1.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x576 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"465.958125pt\" version=\"1.1\" viewBox=\"0 0 944.845312 465.958125\" width=\"944.845312pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 465.958125 \nL 944.845312 465.958125 \nL 944.845312 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 44.845313 442.08 \nL 937.645312 442.08 \nL 937.645312 7.2 \nL 44.845313 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m6278f9fdb8\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"85.427131\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(82.245881 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"186.881676\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(183.700426 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"288.336222\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(285.154972 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"389.790767\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(386.609517 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"491.245312\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(488.064062 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"592.699858\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(589.518608 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"694.154403\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(690.973153 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"795.608949\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 7 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(792.427699 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"897.063494\" xlink:href=\"#m6278f9fdb8\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g transform=\"translate(893.882244 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m34e6ad055b\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"422.312727\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −1.00 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(7.2 426.111946)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"370.293589\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −0.75 -->\n      <g transform=\"translate(7.2 374.092807)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"318.27445\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- −0.50 -->\n      <g transform=\"translate(7.2 322.073669)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"266.255311\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- −0.25 -->\n      <g transform=\"translate(7.2 270.05453)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"214.236172\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.00 -->\n      <g transform=\"translate(15.579688 218.035391)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"162.217033\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.25 -->\n      <g transform=\"translate(15.579688 166.016252)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"110.197895\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 0.50 -->\n      <g transform=\"translate(15.579688 113.997113)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_17\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m34e6ad055b\" y=\"58.178756\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 0.75 -->\n      <g transform=\"translate(15.579688 61.977975)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_18\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 85.427131 466.958125 \nL 85.427131 7.200327 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 214.236172 \nL 945.845312 214.236172 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 422.312727 \nL 937.645312 422.312727 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 401.505072 \nL 937.645312 401.505072 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 380.697416 \nL 937.645312 380.697416 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 359.889761 \nL 937.645312 359.889761 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 339.082105 \nL 937.645312 339.082105 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 318.27445 \nL 937.645312 318.27445 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 297.466794 \nL 937.645312 297.466794 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 276.659139 \nL 937.645312 276.659139 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 255.851483 \nL 937.645312 255.851483 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 235.043828 \nL 937.645312 235.043828 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 214.236172 \nL 937.645312 214.236172 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 193.428517 \nL 937.645312 193.428517 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 172.620861 \nL 937.645312 172.620861 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 151.813206 \nL 937.645312 151.813206 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_34\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 131.00555 \nL 937.645312 131.00555 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_35\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 110.197895 \nL 937.645312 110.197895 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_36\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 89.390239 \nL 937.645312 89.390239 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_37\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 68.582584 \nL 937.645312 68.582584 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_38\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 47.774928 \nL 937.645312 47.774928 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_39\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 44.845313 26.967273 \nL 937.645312 26.967273 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_40\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 85.427131 220.478469 \nL 85.427131 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_41\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 186.881676 220.478469 \nL 186.881676 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_42\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 288.336222 220.478469 \nL 288.336222 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_43\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 389.790767 220.478469 \nL 389.790767 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_44\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 491.245312 220.478469 \nL 491.245312 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_45\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 592.699858 220.478469 \nL 592.699858 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_46\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 694.154403 220.478469 \nL 694.154403 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_47\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 795.608949 220.478469 \nL 795.608949 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_48\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 897.063494 220.478469 \nL 897.063494 207.993876 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_49\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 85.427131 214.236172 \nL 100.051209 190.880473 \nL 108.175697 178.34572 \nL 114.675288 168.717032 \nL 120.36243 160.666521 \nL 126.049571 153.031081 \nL 130.924264 146.861724 \nL 135.798957 141.075969 \nL 139.861201 136.57137 \nL 143.923445 132.373893 \nL 147.985689 128.500136 \nL 152.047933 124.965418 \nL 156.110177 121.783715 \nL 159.359973 119.501028 \nL 162.609768 117.45813 \nL 165.859563 115.660191 \nL 169.109358 114.111762 \nL 172.359154 112.816762 \nL 175.608949 111.77847 \nL 178.858744 110.999513 \nL 182.108539 110.481863 \nL 185.358335 110.22683 \nL 188.60813 110.235061 \nL 191.857925 110.506533 \nL 195.10772 111.04056 \nL 198.357516 111.835789 \nL 201.607311 112.89021 \nL 204.857106 114.201151 \nL 208.106901 115.765296 \nL 211.356697 117.578685 \nL 214.606492 119.636728 \nL 217.856287 121.934216 \nL 221.106082 124.465334 \nL 225.168326 127.947958 \nL 229.23057 131.771804 \nL 233.292815 135.92175 \nL 237.355059 140.381387 \nL 241.417303 145.133078 \nL 246.291996 151.194087 \nL 251.166688 157.61403 \nL 256.85383 165.508749 \nL 262.540972 173.78102 \nL 269.040562 183.615017 \nL 277.16505 196.331239 \nL 290.164231 217.180337 \nL 303.163412 237.910578 \nL 311.287901 250.433535 \nL 317.787491 260.049283 \nL 323.474633 268.086027 \nL 329.161774 275.705528 \nL 334.036467 281.859588 \nL 338.91116 287.62863 \nL 342.973404 292.118285 \nL 347.035648 296.29996 \nL 351.097892 300.157118 \nL 355.160136 303.674507 \nL 358.409932 306.234389 \nL 361.659727 308.561411 \nL 364.909522 310.649683 \nL 368.159317 312.493917 \nL 371.409113 314.089447 \nL 374.658908 315.432234 \nL 377.908703 316.518879 \nL 381.158498 317.346631 \nL 384.408294 317.913396 \nL 387.658089 318.217738 \nL 390.907884 318.258888 \nL 394.157679 318.036742 \nL 397.407475 317.551861 \nL 400.65727 316.805473 \nL 403.907065 315.799468 \nL 407.15686 314.536391 \nL 410.406656 313.019439 \nL 413.656451 311.252453 \nL 416.906246 309.239904 \nL 420.156041 306.986887 \nL 423.405837 304.499104 \nL 427.468081 301.068885 \nL 431.530325 297.295291 \nL 435.592569 293.193244 \nL 439.654813 288.778966 \nL 443.717057 284.069912 \nL 448.59175 278.056241 \nL 453.466443 271.679206 \nL 459.153584 263.828623 \nL 464.840726 255.593786 \nL 471.340317 245.793994 \nL 479.464805 233.107169 \nL 491.651537 213.58183 \nL 505.463167 191.518575 \nL 513.587655 178.960603 \nL 520.087245 169.306321 \nL 525.774387 161.228514 \nL 531.461529 153.561424 \nL 536.336222 147.361657 \nL 541.210914 141.542645 \nL 545.273159 137.008294 \nL 549.335403 132.779338 \nL 553.397647 128.872498 \nL 557.459891 125.303224 \nL 561.522135 122.08563 \nL 564.77193 119.773363 \nL 568.021725 117.700196 \nL 571.271521 115.871375 \nL 574.521316 114.29153 \nL 577.771111 112.964659 \nL 581.020906 111.894122 \nL 584.270702 111.082627 \nL 587.520497 110.532228 \nL 590.770292 110.244319 \nL 594.020087 110.219629 \nL 597.269883 110.45822 \nL 600.519678 110.959488 \nL 603.769473 111.722164 \nL 607.019268 112.744318 \nL 610.269064 114.023362 \nL 613.518859 115.55606 \nL 616.768654 117.338532 \nL 620.018449 119.366265 \nL 623.268245 121.634129 \nL 626.51804 124.136381 \nL 630.580284 127.584102 \nL 634.642528 131.374485 \nL 638.704772 135.492539 \nL 642.767016 139.921981 \nL 646.82926 144.645294 \nL 651.703953 150.674803 \nL 656.578646 157.066205 \nL 662.265788 164.931577 \nL 667.952929 173.178974 \nL 674.45252 182.990265 \nL 682.577008 195.687014 \nL 694.76374 215.217677 \nL 708.57537 237.272934 \nL 716.699858 249.819359 \nL 723.199448 259.460892 \nL 728.88659 267.525091 \nL 734.573732 275.176393 \nL 739.448425 281.360986 \nL 744.323118 287.163398 \nL 748.385362 291.682895 \nL 752.447606 295.896133 \nL 756.50985 299.786451 \nL 760.572094 303.338465 \nL 764.634338 306.538128 \nL 767.884133 308.835616 \nL 771.133928 310.893659 \nL 774.383724 312.707048 \nL 777.633519 314.271193 \nL 780.883314 315.582135 \nL 784.133109 316.636555 \nL 787.382905 317.431785 \nL 790.6327 317.965812 \nL 793.882495 318.237284 \nL 797.13229 318.245514 \nL 800.382086 317.990481 \nL 803.631881 317.472831 \nL 806.881676 316.693875 \nL 810.131471 315.655582 \nL 813.381267 314.360583 \nL 816.631062 312.812154 \nL 819.880857 311.014215 \nL 823.130652 308.971316 \nL 826.380448 306.688629 \nL 829.630243 304.171932 \nL 833.692487 300.706742 \nL 837.754731 296.899609 \nL 841.816975 292.765588 \nL 845.879219 288.321027 \nL 849.941463 283.583501 \nL 854.816156 277.538212 \nL 859.690849 271.132508 \nL 865.377991 263.252424 \nL 871.065132 254.992549 \nL 877.564723 245.169856 \nL 885.689211 232.463308 \nL 897.063494 214.236172 \nL 897.063494 214.236172 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_50\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 85.427131 140.670001 \nL 89.489375 136.191582 \nL 93.551619 132.021785 \nL 97.613863 128.177102 \nL 101.676107 124.672734 \nL 104.925902 122.123626 \nL 108.175697 119.807668 \nL 111.425493 117.730723 \nL 114.675288 115.898047 \nL 117.925083 114.314279 \nL 121.174878 112.983428 \nL 124.424674 111.908863 \nL 127.674469 111.093303 \nL 130.924264 110.538812 \nL 134.174059 110.246795 \nL 137.423855 110.217989 \nL 140.67365 110.452469 \nL 143.923445 110.949641 \nL 147.17324 111.708245 \nL 150.423036 112.726363 \nL 153.672831 114.001417 \nL 156.922626 115.53018 \nL 160.172421 117.308782 \nL 163.422217 119.332721 \nL 166.672012 121.596875 \nL 169.921807 124.095512 \nL 173.984051 127.538861 \nL 178.046295 131.32505 \nL 182.108539 135.439106 \nL 186.170783 139.864761 \nL 190.233027 144.584514 \nL 195.10772 150.610069 \nL 199.982413 156.997885 \nL 205.669555 164.859567 \nL 211.356697 173.103832 \nL 217.856287 182.912257 \nL 225.980775 195.606537 \nL 238.167507 215.135887 \nL 251.979137 237.193164 \nL 260.103625 249.742487 \nL 266.603216 259.387216 \nL 272.290358 267.454825 \nL 277.977499 275.110082 \nL 282.852192 281.298474 \nL 287.726885 287.105041 \nL 291.789129 291.628256 \nL 295.851373 295.845427 \nL 299.913617 299.739879 \nL 303.975861 303.296211 \nL 308.038105 306.50036 \nL 311.287901 308.801545 \nL 314.537696 310.863371 \nL 317.787491 312.68062 \nL 321.037286 314.248691 \nL 324.287082 315.563616 \nL 327.536877 316.622067 \nL 330.786672 317.421364 \nL 334.036467 317.959484 \nL 337.286263 318.235066 \nL 340.536058 318.247411 \nL 343.785853 317.996488 \nL 347.035648 317.482934 \nL 350.285444 316.708046 \nL 353.535239 315.673787 \nL 356.785034 314.382775 \nL 360.034829 312.838278 \nL 363.284625 311.044204 \nL 366.53442 309.005095 \nL 369.784215 306.726112 \nL 373.03401 304.213023 \nL 377.096254 300.752197 \nL 381.158498 296.949249 \nL 385.220742 292.819215 \nL 389.282987 288.37843 \nL 393.345231 283.644453 \nL 398.219923 277.603103 \nL 403.094616 271.200969 \nL 408.781758 263.324555 \nL 414.4689 255.067792 \nL 420.96849 245.247941 \nL 429.092978 232.543831 \nL 442.092159 211.700832 \nL 455.09134 190.960186 \nL 463.215828 178.422503 \nL 469.715419 168.790595 \nL 475.402561 160.736655 \nL 481.089702 153.097242 \nL 485.964395 146.92407 \nL 490.839088 141.134145 \nL 494.901332 136.625818 \nL 498.963576 132.424397 \nL 503.02582 128.546496 \nL 507.088064 125.00745 \nL 511.150308 121.821255 \nL 514.400104 119.534866 \nL 517.649899 117.488179 \nL 520.899694 115.686376 \nL 524.149489 114.134016 \nL 527.399285 112.83503 \nL 530.64908 111.792705 \nL 533.898875 111.009679 \nL 537.14867 110.487934 \nL 540.398466 110.228792 \nL 543.648261 110.232907 \nL 546.898056 110.500269 \nL 550.147851 111.030202 \nL 553.397647 111.821365 \nL 556.647442 112.871754 \nL 559.897237 114.178711 \nL 563.147032 115.738928 \nL 566.396828 117.548457 \nL 569.646623 119.602715 \nL 572.896418 121.896505 \nL 576.146213 124.42402 \nL 580.208457 127.902289 \nL 584.270702 131.72196 \nL 588.332946 135.867929 \nL 592.39519 140.323801 \nL 596.457434 145.071955 \nL 601.332127 151.12904 \nL 606.206819 157.545429 \nL 611.893961 165.436496 \nL 617.581103 173.705677 \nL 624.080693 183.536856 \nL 632.205181 196.250671 \nL 645.204362 217.098575 \nL 658.203543 237.830923 \nL 666.328032 250.356841 \nL 672.827622 259.975833 \nL 678.514764 268.016026 \nL 684.201905 275.639518 \nL 689.076598 281.797409 \nL 693.951291 287.570634 \nL 698.013535 292.064029 \nL 702.075779 296.249659 \nL 706.138023 300.11097 \nL 710.200267 303.632694 \nL 713.450063 306.196166 \nL 716.699858 308.526873 \nL 719.949653 310.618917 \nL 723.199448 312.467002 \nL 726.449244 314.066451 \nL 729.699039 315.413215 \nL 732.948834 316.503884 \nL 736.198629 317.3357 \nL 739.448425 317.906555 \nL 742.69822 318.215006 \nL 745.948015 318.260271 \nL 749.19781 318.042236 \nL 752.447606 317.561453 \nL 755.697401 316.819138 \nL 758.947196 315.817171 \nL 762.196991 314.558088 \nL 765.446787 313.045075 \nL 768.696582 311.281963 \nL 771.946377 309.273213 \nL 775.196172 307.023911 \nL 778.445968 304.53975 \nL 782.508212 301.113912 \nL 786.570456 297.344521 \nL 790.6327 293.246482 \nL 794.694944 288.836001 \nL 798.757188 284.13052 \nL 803.631881 278.120818 \nL 808.506574 271.747384 \nL 814.193715 263.900511 \nL 819.880857 255.668826 \nL 826.380448 245.871923 \nL 834.504936 233.1876 \nL 846.691668 213.663622 \nL 860.503298 191.598402 \nL 868.627786 179.037562 \nL 875.127376 169.380108 \nL 880.814518 161.298911 \nL 886.50166 153.627886 \nL 891.376353 147.424334 \nL 896.251046 141.601182 \nL 897.063494 140.670001 \nL 897.063494 140.670001 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_51\">\n    <path clip-path=\"url(#pa6b535b8b3)\" d=\"M 85.427131 318.27445 \nL 88.676926 318.142782 \nL 91.926721 317.748111 \nL 95.176516 317.091436 \nL 98.426312 316.17442 \nL 101.676107 314.999384 \nL 104.925902 313.569301 \nL 108.175697 311.887791 \nL 111.425493 309.959111 \nL 114.675288 307.788142 \nL 117.925083 305.38038 \nL 121.174878 302.741918 \nL 125.237122 299.129648 \nL 129.299367 295.181672 \nL 133.361611 290.913601 \nL 137.423855 286.342314 \nL 142.298548 280.482055 \nL 147.17324 274.24462 \nL 152.047933 267.665523 \nL 157.735075 259.608158 \nL 164.234665 249.973036 \nL 171.546705 238.706313 \nL 181.296091 223.222221 \nL 203.232208 188.179149 \nL 210.544248 176.967461 \nL 217.043838 167.39775 \nL 222.73098 159.409818 \nL 227.605673 152.898873 \nL 232.480366 146.737157 \nL 237.355059 140.959751 \nL 241.417303 136.462619 \nL 245.479547 132.273038 \nL 249.541791 128.407575 \nL 253.604035 124.881517 \nL 256.85383 122.314459 \nL 260.103625 119.980068 \nL 263.353421 117.884252 \nL 266.603216 116.032318 \nL 269.853011 114.428951 \nL 273.102806 113.078212 \nL 276.352602 111.983517 \nL 279.602397 111.14764 \nL 282.852192 110.572694 \nL 286.101987 110.260135 \nL 289.351783 110.210755 \nL 292.601578 110.424679 \nL 295.851373 110.901364 \nL 299.101168 111.639605 \nL 302.350964 112.637533 \nL 305.600759 113.892622 \nL 308.850554 115.401694 \nL 312.100349 117.160932 \nL 315.350145 119.165881 \nL 318.59994 121.411466 \nL 321.849735 123.892004 \nL 325.911979 127.313459 \nL 329.974223 131.078646 \nL 334.036467 135.172674 \nL 338.098711 139.579354 \nL 342.160955 144.281261 \nL 347.035648 150.28699 \nL 351.910341 156.656819 \nL 357.597483 164.499977 \nL 363.284625 172.728504 \nL 369.784215 182.522511 \nL 377.908703 195.204326 \nL 390.095435 214.72693 \nL 403.907065 236.794102 \nL 412.031553 249.357801 \nL 418.531144 259.018423 \nL 424.218285 267.103004 \nL 429.905427 274.777959 \nL 434.78012 280.985291 \nL 439.654813 286.812581 \nL 443.717057 291.354341 \nL 447.779301 295.591142 \nL 451.841545 299.506228 \nL 455.903789 303.084119 \nL 459.966033 306.310666 \nL 463.215828 308.630313 \nL 466.465624 310.711035 \nL 469.715419 312.547565 \nL 472.965214 314.135254 \nL 476.215009 315.470085 \nL 479.464805 316.548677 \nL 482.7146 317.368302 \nL 485.964395 317.926884 \nL 489.21419 318.22301 \nL 492.463986 318.255931 \nL 495.713781 318.025562 \nL 498.963576 317.532487 \nL 502.213371 316.777954 \nL 505.463167 315.763873 \nL 508.712962 314.49281 \nL 511.962757 312.967984 \nL 515.212552 311.193252 \nL 518.462348 309.173109 \nL 521.712143 306.912666 \nL 524.961938 304.417645 \nL 529.024182 300.978671 \nL 533.086426 297.196678 \nL 537.14867 293.086622 \nL 541.210914 288.664757 \nL 545.273159 283.948568 \nL 550.147851 277.92697 \nL 555.022544 271.542744 \nL 560.709686 263.684757 \nL 566.396828 255.443629 \nL 572.896418 245.638075 \nL 581.020906 232.946273 \nL 593.207638 213.418248 \nL 607.019268 191.358964 \nL 615.143756 178.806751 \nL 621.643347 169.158831 \nL 627.330489 161.087818 \nL 633.01763 153.428612 \nL 637.892323 147.236425 \nL 642.767016 141.425705 \nL 646.82926 136.898776 \nL 650.891504 132.677674 \nL 654.953748 128.77909 \nL 659.015992 125.218442 \nL 663.078236 122.009809 \nL 666.328032 119.704929 \nL 669.577827 117.639321 \nL 672.827622 115.818214 \nL 676.077417 114.246217 \nL 679.327213 112.927309 \nL 682.577008 111.864829 \nL 685.826803 111.061465 \nL 689.076598 110.519252 \nL 692.326394 110.239561 \nL 695.576189 110.223101 \nL 698.825984 110.469913 \nL 702.075779 110.979373 \nL 705.325575 111.75019 \nL 708.57537 112.780415 \nL 711.825165 114.067438 \nL 715.07496 115.608004 \nL 718.324756 117.398211 \nL 721.574551 119.43353 \nL 724.824346 121.708808 \nL 728.074141 124.218286 \nL 732.136385 127.674745 \nL 736.198629 131.473508 \nL 740.260874 135.59955 \nL 744.323118 140.036557 \nL 748.385362 144.766983 \nL 753.260055 150.804389 \nL 758.134747 157.20295 \nL 763.821889 165.075688 \nL 769.509031 173.329334 \nL 776.008621 183.146338 \nL 784.133109 195.848002 \nL 796.319842 215.381255 \nL 810.131471 237.432432 \nL 818.25596 249.973036 \nL 824.75555 259.608158 \nL 830.442692 267.665523 \nL 836.129833 275.308904 \nL 841.004526 281.485886 \nL 845.879219 287.279977 \nL 849.941463 291.79203 \nL 854.003707 295.997393 \nL 858.065951 299.879435 \nL 862.128195 303.422806 \nL 866.190439 306.613493 \nL 869.440235 308.903583 \nL 872.69003 310.954057 \nL 875.939825 312.759723 \nL 879.18962 314.316012 \nL 882.439416 315.618984 \nL 885.689211 316.665341 \nL 888.939006 317.452436 \nL 892.188801 317.978275 \nL 895.438597 318.241528 \nL 897.063494 318.27445 \nL 897.063494 318.27445 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 44.845313 442.08 \nL 44.845313 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 937.645312 442.08 \nL 937.645312 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 44.845313 442.08 \nL 937.645312 442.08 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 44.845313 7.2 \nL 937.645312 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_18\">\n    <!-- $0s$ -->\n    <defs>\n     <path d=\"M 50 53.078125 \nL 48.296875 44.578125 \nQ 44.734375 46.53125 40.765625 47.5 \nQ 36.8125 48.484375 32.625 48.484375 \nQ 25.53125 48.484375 21.453125 46.0625 \nQ 17.390625 43.65625 17.390625 39.5 \nQ 17.390625 34.671875 26.859375 32.078125 \nQ 27.59375 31.890625 27.9375 31.78125 \nL 30.8125 30.90625 \nQ 39.796875 28.421875 42.796875 25.6875 \nQ 45.796875 22.953125 45.796875 18.21875 \nQ 45.796875 9.515625 38.890625 4.046875 \nQ 31.984375 -1.421875 20.796875 -1.421875 \nQ 16.453125 -1.421875 11.671875 -0.578125 \nQ 6.890625 0.25 1.125 2 \nL 2.875 11.28125 \nQ 7.8125 8.734375 12.59375 7.421875 \nQ 17.390625 6.109375 21.78125 6.109375 \nQ 28.375 6.109375 32.5 8.9375 \nQ 36.625 11.765625 36.625 16.109375 \nQ 36.625 20.796875 25.78125 23.6875 \nL 24.859375 23.921875 \nL 21.78125 24.703125 \nQ 14.9375 26.515625 11.765625 29.46875 \nQ 8.59375 32.421875 8.59375 37.015625 \nQ 8.59375 45.75 15.15625 50.875 \nQ 21.734375 56 33.015625 56 \nQ 37.453125 56 41.671875 55.265625 \nQ 45.90625 54.546875 50 53.078125 \nz\n\" id=\"DejaVuSans-Oblique-115\"/>\n    </defs>\n    <g transform=\"translate(87.456222 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- $1s$ -->\n    <g transform=\"translate(188.910767 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- $2s$ -->\n    <g transform=\"translate(290.365312 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- $3s$ -->\n    <g transform=\"translate(391.819858 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- $4s$ -->\n    <g transform=\"translate(493.274403 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_23\">\n    <!-- $5s$ -->\n    <g transform=\"translate(594.728949 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_24\">\n    <!-- $6s$ -->\n    <g transform=\"translate(696.183494 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_25\">\n    <!-- $7s$ -->\n    <g transform=\"translate(797.63804 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_26\">\n    <!-- $8s$ -->\n    <g transform=\"translate(899.092585 235.043828)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 876.245312 59.234375 \nL 930.645312 59.234375 \nQ 932.645312 59.234375 932.645312 57.234375 \nL 932.645312 14.2 \nQ 932.645312 12.2 930.645312 12.2 \nL 876.245312 12.2 \nQ 874.245312 12.2 874.245312 14.2 \nL 874.245312 57.234375 \nQ 874.245312 59.234375 876.245312 59.234375 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_52\">\n     <path d=\"M 878.245312 20.298437 \nL 898.245312 20.298437 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_53\"/>\n    <g id=\"text_27\">\n     <!-- $x_1(t)$ -->\n     <defs>\n      <path d=\"M 60.015625 54.6875 \nL 34.90625 27.875 \nL 50.296875 0 \nL 39.984375 0 \nL 28.421875 21.6875 \nL 8.296875 0 \nL -2.59375 0 \nL 24.3125 28.8125 \nL 10.015625 54.6875 \nL 20.3125 54.6875 \nL 30.8125 34.90625 \nL 49.125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-120\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 42.28125 54.6875 \nL 40.921875 47.703125 \nL 23 47.703125 \nL 17.1875 18.015625 \nQ 16.890625 16.359375 16.75 15.234375 \nQ 16.609375 14.109375 16.609375 13.484375 \nQ 16.609375 10.359375 18.484375 8.9375 \nQ 20.359375 7.515625 24.515625 7.515625 \nL 33.59375 7.515625 \nL 32.078125 0 \nL 23.484375 0 \nQ 15.484375 0 11.546875 3.125 \nQ 7.625 6.25 7.625 12.59375 \nQ 7.625 13.71875 7.765625 15.0625 \nQ 7.90625 16.40625 8.203125 18.015625 \nL 14.015625 47.703125 \nL 6.390625 47.703125 \nL 7.8125 54.6875 \nL 15.28125 54.6875 \nL 18.3125 70.21875 \nL 27.296875 70.21875 \nL 24.3125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-116\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(906.245312 23.798437)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n      <use transform=\"translate(59.179688 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n      <use transform=\"translate(106.450195 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(145.463867 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(184.672852 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_54\">\n     <path d=\"M 878.245312 34.976562 \nL 898.245312 34.976562 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_55\"/>\n    <g id=\"text_28\">\n     <!-- $x_2(t)$ -->\n     <g transform=\"translate(906.245312 38.476562)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n      <use transform=\"translate(59.179688 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n      <use transform=\"translate(106.450195 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(145.463867 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(184.672852 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_56\">\n     <path d=\"M 878.245312 49.654687 \nL 898.245312 49.654687 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_57\"/>\n    <g id=\"text_29\">\n     <!-- $x_3(t)$ -->\n     <g transform=\"translate(906.245312 53.154687)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n      <use transform=\"translate(59.179688 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n      <use transform=\"translate(106.450195 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(145.463867 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(184.672852 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pa6b535b8b3\">\n   <rect height=\"434.88\" width=\"892.8\" x=\"44.845313\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "xmin, xmax = 0, 8\n",
    "# xmin, xmax = 0, np.pi/2\n",
    "x = np.linspace(xmin, xmax, 1000)\n",
    "y = np.sin(x)\n",
    "ymin, ymax = np.min(y), np.max(y)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 8))\n",
    "ax = fig.gca()\n",
    "\n",
    "ax.axvline(x=0, ymin=ymin, ymax=ymax, lw=1, color='k')\n",
    "ax.axhline(y=0, xmin=xmin, xmax=xmax, lw=1, color='k')\n",
    "\n",
    "for xt in np.arange(0, xmin, xmax):\n",
    "    ax.axvline(x=xt, ymin=ymin, ymax=ymax, lw=1, ls='-.' if xt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for yt in np.arange(-1, 1, 0.1):\n",
    "    ax.axhline(y=yt, lw=1, ls='-.' if yt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for t,l in zip(np.arange(xmin, xmax+1, 1),\n",
    "[f'${a}s$' for a in np.arange(0, 9, 1)]):\n",
    "    ax.plot([t,t],[-0.03,0.03], c='k', lw=0.8)\n",
    "    ax.text(t+0.02, -0.1,s=l)\n",
    "\n",
    "ax.plot(x, 0.5*np.sin(2*np.pi/4*x), c='r', label='$x_1(t)$', lw=2)\n",
    "ax.plot(x, 0.5*np.sin(2*np.pi/4*x+np.pi/4), c='g', label='$x_2(t)$', lw=2)\n",
    "ax.plot(x, 0.5*np.sin(2*np.pi/4*x+3*np.pi/2), c='b', label='$x_3(t)$', lw=2)\n",
    "\n",
    "ax.legend()\n",
    "plt.savefig('./pics/ruch_drag2.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x576 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"465.958125pt\" version=\"1.1\" viewBox=\"0 0 928.942187 465.958125\" width=\"928.942187pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 465.958125 \nL 928.942187 465.958125 \nL 928.942187 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 28.942188 442.08 \nL 921.742188 442.08 \nL 921.742188 7.2 \nL 28.942188 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m49af4716ca\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"69.524006\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(66.342756 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"170.978551\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(167.797301 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"272.433097\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(269.251847 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.887642\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(370.706392 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"475.342187\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(472.160937 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"576.796733\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(573.615483 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"678.251278\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(675.070028 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"779.705824\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 7 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(776.524574 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"881.160369\" xlink:href=\"#m49af4716ca\" y=\"442.08\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g transform=\"translate(877.979119 456.678437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m600f33a7b3\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m600f33a7b3\" y=\"403.486753\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −2 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g transform=\"translate(7.2 407.285972)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m600f33a7b3\" y=\"309.356883\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −1 -->\n      <g transform=\"translate(7.2 313.156102)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m600f33a7b3\" y=\"215.227013\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0 -->\n      <g transform=\"translate(15.579688 219.026232)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m600f33a7b3\" y=\"121.097143\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 1 -->\n      <g transform=\"translate(15.579688 124.896362)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m600f33a7b3\" y=\"26.967273\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 2 -->\n      <g transform=\"translate(15.579688 30.766491)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 69.524006 466.958125 \nL 69.524006 7.200327 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 215.227013 \nL 929.942187 215.227013 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_17\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 422.312727 \nL 921.742188 422.312727 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_18\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 403.486753 \nL 921.742188 403.486753 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 384.660779 \nL 921.742188 384.660779 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 365.834805 \nL 921.742188 365.834805 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 347.008831 \nL 921.742188 347.008831 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 328.182857 \nL 921.742188 328.182857 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 309.356883 \nL 921.742188 309.356883 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 290.530909 \nL 921.742188 290.530909 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 271.704935 \nL 921.742188 271.704935 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 252.878961 \nL 921.742188 252.878961 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 234.052987 \nL 921.742188 234.052987 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 215.227013 \nL 921.742188 215.227013 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 196.401039 \nL 921.742188 196.401039 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 177.575065 \nL 921.742188 177.575065 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 158.749091 \nL 921.742188 158.749091 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 139.923117 \nL 921.742188 139.923117 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 121.097143 \nL 921.742188 121.097143 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_34\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 102.271169 \nL 921.742188 102.271169 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_35\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 83.445195 \nL 921.742188 83.445195 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_36\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 64.619221 \nL 921.742188 64.619221 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_37\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 45.793247 \nL 921.742188 45.793247 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_38\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 28.942188 26.967273 \nL 921.742188 26.967273 \n\" style=\"fill:none;stroke:#d3d3d3;stroke-dasharray:6.4,1.6,1,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_39\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 69.524006 218.050909 \nL 69.524006 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_40\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 170.978551 218.050909 \nL 170.978551 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_41\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 272.433097 218.050909 \nL 272.433097 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_42\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 373.887642 218.050909 \nL 373.887642 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_43\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 475.342187 218.050909 \nL 475.342187 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_44\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 576.796733 218.050909 \nL 576.796733 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_45\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 678.251278 218.050909 \nL 678.251278 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_46\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 779.705824 218.050909 \nL 779.705824 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_47\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 881.160369 218.050909 \nL 881.160369 212.403117 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"line2d_48\">\n    <path clip-path=\"url(#p5784b56958)\" d=\"M 69.524006 26.967273 \nL 71.961352 27.101304 \nL 74.398699 27.503208 \nL 76.836045 28.172412 \nL 79.273391 29.107963 \nL 81.710738 30.30853 \nL 84.148084 31.772402 \nL 86.585431 33.497494 \nL 89.022777 35.481352 \nL 91.460124 37.72115 \nL 93.89747 40.213698 \nL 96.334816 42.955449 \nL 99.584612 46.991964 \nL 102.834407 51.454307 \nL 106.084202 56.331183 \nL 109.333997 61.610247 \nL 112.583793 67.278137 \nL 116.646037 74.887841 \nL 120.708281 83.052508 \nL 124.770525 91.739853 \nL 128.832769 100.91552 \nL 133.707462 112.519691 \nL 138.582155 124.708634 \nL 144.269296 139.575403 \nL 150.768887 157.27682 \nL 158.080926 177.882623 \nL 168.642761 208.420181 \nL 184.891737 255.46798 \nL 192.203776 275.986332 \nL 198.703367 293.579778 \nL 204.390509 308.329606 \nL 209.265201 320.40234 \nL 214.139894 331.87625 \nL 218.202138 340.933166 \nL 222.264382 349.492983 \nL 226.326626 357.521853 \nL 230.388871 364.988025 \nL 233.638666 370.535903 \nL 236.888461 375.690671 \nL 240.138256 380.439283 \nL 243.388052 384.769718 \nL 246.637847 388.671016 \nL 249.887642 392.133302 \nL 252.324988 394.4366 \nL 254.762335 396.484722 \nL 257.199681 398.274751 \nL 259.637028 399.804138 \nL 262.074374 401.070706 \nL 264.511721 402.07265 \nL 266.949067 402.808545 \nL 269.386414 403.277343 \nL 271.82376 403.478375 \nL 274.261106 403.411357 \nL 276.698453 403.076382 \nL 279.135799 402.473928 \nL 281.573146 401.604854 \nL 284.010492 400.470396 \nL 286.447839 399.07217 \nL 288.885185 397.412166 \nL 291.322531 395.492749 \nL 293.759878 393.316652 \nL 296.197224 390.886972 \nL 298.634571 388.20717 \nL 301.884366 384.251667 \nL 305.134161 379.868339 \nL 308.383957 375.068279 \nL 311.633752 369.863638 \nL 314.883547 364.267589 \nL 318.133342 358.294296 \nL 322.195586 350.320303 \nL 326.25783 341.812091 \nL 330.320074 332.803305 \nL 335.194767 321.382296 \nL 340.06946 309.356883 \nL 345.756602 294.654853 \nL 351.443744 279.337395 \nL 358.755783 258.930678 \nL 367.69272 233.256177 \nL 390.441287 167.503285 \nL 397.753326 147.235988 \nL 403.440468 132.061431 \nL 409.127609 117.531263 \nL 414.002302 105.675208 \nL 418.876995 94.442894 \nL 422.939239 85.605355 \nL 427.001483 77.280398 \nL 431.063727 69.500943 \nL 434.313522 63.69089 \nL 437.563318 58.264396 \nL 440.813113 53.235198 \nL 444.062908 48.616025 \nL 447.312703 44.418568 \nL 450.562499 40.653452 \nL 452.999845 38.119114 \nL 455.437192 35.83696 \nL 457.874538 33.810239 \nL 460.311884 32.041838 \nL 462.749231 30.534275 \nL 465.186577 29.289696 \nL 467.623924 28.309872 \nL 470.06127 27.596201 \nL 472.498617 27.149697 \nL 474.935963 26.970996 \nL 477.37331 27.060354 \nL 479.810656 27.417642 \nL 482.248002 28.042351 \nL 484.685349 28.933594 \nL 487.122695 30.090099 \nL 489.560042 31.510222 \nL 491.997388 33.191938 \nL 494.434735 35.132855 \nL 496.872081 37.330208 \nL 499.309427 39.780868 \nL 501.746774 42.481346 \nL 504.996569 46.463892 \nL 508.246364 50.873603 \nL 511.49616 55.699316 \nL 514.745955 60.928816 \nL 517.99575 66.548868 \nL 521.245545 72.545246 \nL 525.307789 80.546717 \nL 529.370034 89.080774 \nL 533.432278 98.113669 \nL 538.30697 109.561185 \nL 543.181663 121.610318 \nL 548.868805 136.336321 \nL 554.555947 151.673589 \nL 561.867986 172.099417 \nL 570.804923 197.787244 \nL 593.55349 263.523193 \nL 600.865529 283.76977 \nL 606.552671 298.92331 \nL 612.239812 313.42835 \nL 617.114505 325.259741 \nL 621.989198 336.464651 \nL 626.051442 345.277375 \nL 630.113686 353.575821 \nL 634.17593 361.327175 \nL 637.425726 367.113677 \nL 640.675521 372.515731 \nL 643.925316 377.519665 \nL 647.175111 382.112813 \nL 650.424907 386.283548 \nL 653.674702 390.021315 \nL 656.112048 392.534771 \nL 658.549395 394.795758 \nL 660.986741 396.801057 \nL 663.424088 398.547812 \nL 665.861434 400.033537 \nL 668.29878 401.256116 \nL 670.736127 402.213808 \nL 673.173473 402.905249 \nL 675.61082 403.329456 \nL 678.048166 403.485822 \nL 680.485513 403.374127 \nL 682.922859 402.99453 \nL 685.360206 402.347569 \nL 687.797552 401.434168 \nL 690.234898 400.255626 \nL 692.672245 398.813622 \nL 695.109591 397.110209 \nL 697.546938 395.147812 \nL 699.984284 392.929226 \nL 702.421631 390.457609 \nL 704.858977 387.736482 \nL 708.108772 383.726931 \nL 711.358568 379.290882 \nL 714.608363 374.439564 \nL 717.858158 369.185256 \nL 721.107953 363.541257 \nL 724.357749 357.521853 \nL 728.419993 349.492983 \nL 732.482237 340.933166 \nL 736.544481 331.87625 \nL 741.419174 320.40234 \nL 746.293866 308.329606 \nL 751.981008 293.579778 \nL 757.66815 278.222851 \nL 764.980189 257.778113 \nL 773.917126 232.077215 \nL 795.853244 168.6496 \nL 803.165283 148.341463 \nL 808.852425 133.125324 \nL 814.539567 118.54533 \nL 819.41426 106.640297 \nL 824.288952 95.353511 \nL 828.351197 86.466604 \nL 832.413441 78.088873 \nL 836.475685 70.253447 \nL 839.72548 64.396463 \nL 842.975275 58.921253 \nL 846.22507 53.841676 \nL 849.474866 49.170588 \nL 852.724661 44.919814 \nL 855.974456 41.100112 \nL 858.411803 38.524084 \nL 860.849149 36.199664 \nL 863.286495 34.130161 \nL 865.723842 32.318522 \nL 868.161188 30.767326 \nL 870.598535 29.478783 \nL 873.035881 28.454727 \nL 875.473228 27.696615 \nL 877.910574 27.205529 \nL 880.347921 26.982167 \nL 881.160369 26.967273 \nL 881.160369 26.967273 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:3;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 28.942188 442.08 \nL 28.942188 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 921.742188 442.08 \nL 921.742188 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 28.942188 442.08 \nL 921.742187 442.08 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 28.942188 7.2 \nL 921.742187 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- $0s$ -->\n    <defs>\n     <path d=\"M 50 53.078125 \nL 48.296875 44.578125 \nQ 44.734375 46.53125 40.765625 47.5 \nQ 36.8125 48.484375 32.625 48.484375 \nQ 25.53125 48.484375 21.453125 46.0625 \nQ 17.390625 43.65625 17.390625 39.5 \nQ 17.390625 34.671875 26.859375 32.078125 \nQ 27.59375 31.890625 27.9375 31.78125 \nL 30.8125 30.90625 \nQ 39.796875 28.421875 42.796875 25.6875 \nQ 45.796875 22.953125 45.796875 18.21875 \nQ 45.796875 9.515625 38.890625 4.046875 \nQ 31.984375 -1.421875 20.796875 -1.421875 \nQ 16.453125 -1.421875 11.671875 -0.578125 \nQ 6.890625 0.25 1.125 2 \nL 2.875 11.28125 \nQ 7.8125 8.734375 12.59375 7.421875 \nQ 17.390625 6.109375 21.78125 6.109375 \nQ 28.375 6.109375 32.5 8.9375 \nQ 36.625 11.765625 36.625 16.109375 \nQ 36.625 20.796875 25.78125 23.6875 \nL 24.859375 23.921875 \nL 21.78125 24.703125 \nQ 14.9375 26.515625 11.765625 29.46875 \nQ 8.59375 32.421875 8.59375 37.015625 \nQ 8.59375 45.75 15.15625 50.875 \nQ 21.734375 56 33.015625 56 \nQ 37.453125 56 41.671875 55.265625 \nQ 45.90625 54.546875 50 53.078125 \nz\n\" id=\"DejaVuSans-Oblique-115\"/>\n    </defs>\n    <g transform=\"translate(71.553097 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- $1s$ -->\n    <g transform=\"translate(173.007642 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- $2s$ -->\n    <g transform=\"translate(274.462187 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- $3s$ -->\n    <g transform=\"translate(375.916733 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- $4s$ -->\n    <g transform=\"translate(477.371278 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- $5s$ -->\n    <g transform=\"translate(578.825824 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- $6s$ -->\n    <g transform=\"translate(680.280369 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- $7s$ -->\n    <g transform=\"translate(781.734915 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\n     <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"text_23\">\n    <!-- $8s$ -->\n    <g transform=\"translate(883.18946 224.64)scale(0.1 -0.1)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n     <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 865.042187 437.08 \nL 914.742188 437.08 \nQ 916.742188 437.08 916.742188 435.08 \nL 916.742188 421.38 \nQ 916.742188 419.38 914.742188 419.38 \nL 865.042187 419.38 \nQ 863.042187 419.38 863.042187 421.38 \nL 863.042187 435.08 \nQ 863.042187 437.08 865.042187 437.08 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_49\">\n     <path d=\"M 867.042187 427.48 \nL 887.042187 427.48 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:3;\"/>\n    </g>\n    <g id=\"line2d_50\"/>\n    <g id=\"text_24\">\n     <!-- $y(t)$ -->\n     <defs>\n      <path d=\"M 24.8125 -5.078125 \nQ 18.5625 -15.578125 14.625 -18.1875 \nQ 10.6875 -20.796875 4.59375 -20.796875 \nL -2.484375 -20.796875 \nL -0.984375 -13.28125 \nL 4.203125 -13.28125 \nQ 7.953125 -13.28125 10.59375 -11.234375 \nQ 13.234375 -9.1875 16.5 -3.21875 \nL 19.28125 2 \nL 7.171875 54.6875 \nL 16.703125 54.6875 \nL 25.78125 12.796875 \nL 50.875 54.6875 \nL 60.296875 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-121\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 42.28125 54.6875 \nL 40.921875 47.703125 \nL 23 47.703125 \nL 17.1875 18.015625 \nQ 16.890625 16.359375 16.75 15.234375 \nQ 16.609375 14.109375 16.609375 13.484375 \nQ 16.609375 10.359375 18.484375 8.9375 \nQ 20.359375 7.515625 24.515625 7.515625 \nL 33.59375 7.515625 \nL 32.078125 0 \nL 23.484375 0 \nQ 15.484375 0 11.546875 3.125 \nQ 7.625 6.25 7.625 12.59375 \nQ 7.625 13.71875 7.765625 15.0625 \nQ 7.90625 16.40625 8.203125 18.015625 \nL 14.015625 47.703125 \nL 6.390625 47.703125 \nL 7.8125 54.6875 \nL 15.28125 54.6875 \nL 18.3125 70.21875 \nL 27.296875 70.21875 \nL 24.3125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-116\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(895.042187 430.98)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-121\"/>\n      <use transform=\"translate(59.179688 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n      <use transform=\"translate(98.193359 0.125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(137.402344 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p5784b56958\">\n   <rect height=\"434.88\" width=\"892.8\" x=\"28.942188\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "xmin, xmax = 0, 8\n",
    "# xmin, xmax = 0, np.pi/2\n",
    "x = np.linspace(xmin, xmax, 1000)\n",
    "y = np.sin(x)\n",
    "ymin, ymax = np.min(y), np.max(y)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 8))\n",
    "ax = fig.gca()\n",
    "\n",
    "ax.axvline(x=0, ymin=ymin, ymax=ymax, lw=1, color='k')\n",
    "ax.axhline(y=0, xmin=xmin, xmax=xmax, lw=1, color='k')\n",
    "\n",
    "for xt in np.arange(0, xmin, xmax):\n",
    "    ax.axvline(x=xt, ymin=ymin, ymax=ymax, lw=1, ls='-.' if xt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for yt in np.arange(-2.2, 2.2, 0.2):\n",
    "    ax.axhline(y=yt, lw=1, ls='-.' if yt != 0 else '-', color= 'lightgrey')\n",
    "\n",
    "for t,l in zip(np.arange(xmin, xmax+1, 1),\n",
    "[f'${a}s$' for a in np.arange(0, 9, 1)]):\n",
    "    ax.plot([t,t],[-0.03,0.03], c='k', lw=0.8)\n",
    "    ax.text(t+0.02, -0.1, s=l)\n",
    "\n",
    "ax.plot(x, 2*np.cos(2*np.pi/4*x), label='$y(t)$', lw=3)\n",
    "# ax.plot(x, 2*np.cos(2*np.pi/4*x), c='g', label='$z(t)$', lw=2)\n",
    "\n",
    "\n",
    "ax.legend()\n",
    "plt.savefig('./pics/ruch_drag7.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}