practice/Counterexample.ipynb

{
 "nbformat": 4,
 "nbformat_minor": 2,
 "metadata": {
  "language_info": {
   "name": "python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "version": "3.7.0-final"
  },
  "orig_nbformat": 2,
  "file_extension": ".py",
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3,
  "kernelspec": {
   "name": "python37064bitbasecondaf1f4ce8bd9ee468caf98567667ef0765",
   "display_name": "Python 3.7.0 64-bit ('base': conda)"
  }
 },
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Page 261\n",
    "\n",
    "Baird 反例。\n",
    "\n",
    "所有的期望方法都不基于仿真。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#######################################################################\n",
    "# Copyright (C)                                                       #\n",
    "# 2016 - 2018 Shangtong Zhang(zhangshangtong.cpp@gmail.com)           #\n",
    "# 2016 Kenta Shimada(hyperkentakun@gmail.com)                         #\n",
    "# Permission given to modify the code as long as you keep this        #\n",
    "# declaration at the top                                              #\n",
    "#######################################################################\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "\n",
    "# all states: state 0-5 are upper states\n",
    "STATES = np.arange(0, 7)\n",
    "# state 6 is lower state\n",
    "LOWER_STATE = 6\n",
    "# discount factor\n",
    "DISCOUNT = 0.99\n",
    "\n",
    "# each state is represented by a vector of length 8\n",
    "FEATURE_SIZE = 8\n",
    "FEATURES = np.zeros((len(STATES), FEATURE_SIZE))\n",
    "\"\"\"\n",
    "s_1: w_1 w_2 w_3 ...\n",
    "s_2: ...\n",
    "\"\"\"\n",
    "for i in range(LOWER_STATE):\n",
    "    FEATURES[i, i] = 2\n",
    "    FEATURES[i, 7] = 1\n",
    "FEATURES[LOWER_STATE, 6] = 1\n",
    "FEATURES[LOWER_STATE, 7] = 2\n",
    "\n",
    "# all possible actions\n",
    "DASHED = 0\n",
    "SOLID = 1\n",
    "ACTIONS = [DASHED, SOLID]\n",
    "\n",
    "# reward is always zero\n",
    "REWARD = 0\n",
    "\n",
    "# take @action at @state, return the new state\n",
    "def step(state, action):\n",
    "    if action == SOLID:\n",
    "        return LOWER_STATE\n",
    "    return np.random.choice(STATES[: LOWER_STATE])\n",
    "\n",
    "# target policy\n",
    "def target_policy(state):\n",
    "    return SOLID\n",
    "\n",
    "# state distribution for the behavior policy\n",
    "STATE_DISTRIBUTION = np.ones(len(STATES)) / 7\n",
    "STATE_DISTRIBUTION_MAT = np.matrix(np.diag(STATE_DISTRIBUTION))\n",
    "\"\"\"\n",
    "diag 生成对角阵\n",
    "matrix 把 array 转成 matrix 变量\n",
    "\"\"\"\n",
    "# projection matrix for minimize MSVE\n",
    "PROJECTION_MAT = np.matrix(FEATURES) * \\\n",
    "                 np.linalg.pinv(np.matrix(FEATURES.T) * STATE_DISTRIBUTION_MAT * np.matrix(FEATURES)) * \\\n",
    "                 np.matrix(FEATURES.T) * \\\n",
    "                 STATE_DISTRIBUTION_MAT\n",
    "\"\"\"\n",
    "numpy.linalg 模块包含线性代数的函数\n",
    "pinv 广义逆\n",
    "\"\"\"\n",
    "\n",
    "# behavior policy\n",
    "BEHAVIOR_SOLID_PROBABILITY = 1.0 / 7\n",
    "def behavior_policy(state):\n",
    "    if np.random.binomial(1, BEHAVIOR_SOLID_PROBABILITY) == 1:\n",
    "        return SOLID\n",
    "    return DASHED\n",
    "\n",
    "# Semi-gradient off-policy temporal difference\n",
    "# @state: current state\n",
    "# @theta: weight for each component of the feature vector\n",
    "# @alpha: step size\n",
    "# @return: next state\n",
    "def semi_gradient_off_policy_TD(state, theta, alpha):\n",
    "    action = behavior_policy(state)\n",
    "    next_state = step(state, action)\n",
    "    # get the importance ratio\n",
    "    if action == DASHED:\n",
    "        rho = 0.0\n",
    "    else:\n",
    "        rho = 1.0 / BEHAVIOR_SOLID_PROBABILITY\n",
    "    delta = REWARD + DISCOUNT * np.dot(FEATURES[next_state, :], theta) - \\\n",
    "            np.dot(FEATURES[state, :], theta)\n",
    "    delta *= rho * alpha\n",
    "    # derivatives happen to be the same matrix due to the linearity\n",
    "    theta += FEATURES[state, :] * delta\n",
    "    return next_state\n",
    "\n",
    "# Semi-gradient DP\n",
    "# @theta: weight for each component of the feature vector\n",
    "# @alpha: step size\n",
    "def semi_gradient_DP(theta, alpha):\n",
    "    delta = 0.0\n",
    "    # go through all the states\n",
    "    for state in STATES:\n",
    "        expected_return = 0.0\n",
    "        # compute bellman error for each state\n",
    "        for next_state in STATES:\n",
    "            if next_state == LOWER_STATE:\n",
    "                expected_return += REWARD + DISCOUNT * np.dot(theta, FEATURES[next_state, :])\n",
    "        bellmanError = expected_return - np.dot(theta, FEATURES[state, :])\n",
    "        # accumulate gradients\n",
    "        delta += bellmanError * FEATURES[state, :]\n",
    "    # derivatives happen to be the same matrix due to the linearity\n",
    "    theta += alpha / len(STATES) * delta\n",
    "\n",
    "# temporal difference with gradient correction\n",
    "# @state: current state\n",
    "# @theta: weight of each component of the feature vector\n",
    "# @weight: auxiliary trace for gradient correction\n",
    "# @alpha: step size of @theta\n",
    "# @beta: step size of @weight\n",
    "def TDC(state, theta, weight, alpha, beta):\n",
    "    action = behavior_policy(state)\n",
    "    next_state = step(state, action)\n",
    "    # get the importance ratio\n",
    "    if action == DASHED:\n",
    "        rho = 0.0\n",
    "    else:\n",
    "        rho = 1.0 / BEHAVIOR_SOLID_PROBABILITY\n",
    "    delta = REWARD + DISCOUNT * np.dot(FEATURES[next_state, :], theta) - \\\n",
    "            np.dot(FEATURES[state, :], theta)\n",
    "    theta += alpha * rho * (delta * FEATURES[state, :] - DISCOUNT * FEATURES[next_state, :] * np.dot(FEATURES[state, :], weight))\n",
    "    weight += beta * rho * (delta - np.dot(FEATURES[state, :], weight)) * FEATURES[state, :]\n",
    "    return next_state\n",
    "\n",
    "# expected temporal difference with gradient correction\n",
    "# @theta: weight of each component of the feature vector\n",
    "# @weight: auxiliary trace for gradient correction\n",
    "# @alpha: step size of @theta\n",
    "# @beta: step size of @weight\n",
    "def expected_TDC(theta, weight, alpha, beta):\n",
    "    for state in STATES:\n",
    "        # When computing expected update target, if next state is not lower state, importance ratio will be 0,\n",
    "        # so we can safely ignore this case and assume next state is always lower state\n",
    "        delta = REWARD + DISCOUNT * np.dot(FEATURES[LOWER_STATE, :], theta) - np.dot(FEATURES[state, :], theta)\n",
    "        rho = 1 / BEHAVIOR_SOLID_PROBABILITY\n",
    "        # Under behavior policy, state distribution is uniform, so the probability for each state is 1.0 / len(STATES)\n",
    "        expected_update_theta = 1.0 / len(STATES) * BEHAVIOR_SOLID_PROBABILITY * rho * (\n",
    "            delta * FEATURES[state, :] - DISCOUNT * FEATURES[LOWER_STATE, :] * np.dot(weight, FEATURES[state, :]))\n",
    "        theta += alpha * expected_update_theta\n",
    "        expected_update_weight = 1.0 / len(STATES) * BEHAVIOR_SOLID_PROBABILITY * rho * (\n",
    "            delta - np.dot(weight, FEATURES[state, :])) * FEATURES[state, :]\n",
    "        weight += beta * expected_update_weight\n",
    "\n",
    "    # if *accumulate* expected update and actually apply update here, then it's synchronous\n",
    "    # theta += alpha * expectedUpdateTheta\n",
    "    # weight += beta * expectedUpdateWeight\n",
    "\n",
    "# interest is 1 for every state\n",
    "INTEREST = 1\n",
    "\n",
    "# expected update of ETD\n",
    "# @theta: weight of each component of the feature vector\n",
    "# @emphasis: current emphasis\n",
    "# @alpha: step size of @theta\n",
    "# @return: expected next emphasis\n",
    "def expected_emphatic_TD(theta, emphasis, alpha):\n",
    "    # we perform synchronous update for both theta and emphasis\n",
    "    expected_update = 0\n",
    "    expected_next_emphasis = 0.0\n",
    "    # go through all the states\n",
    "    for state in STATES:\n",
    "        # compute rho(t-1)\n",
    "        if state == LOWER_STATE:\n",
    "            rho = 1.0 / BEHAVIOR_SOLID_PROBABILITY\n",
    "        else:\n",
    "            rho = 0\n",
    "        # update emphasis\n",
    "        next_emphasis = DISCOUNT * rho * emphasis + INTEREST\n",
    "        expected_next_emphasis += next_emphasis\n",
    "        # When computing expected update target, if next state is not lower state, importance ratio will be 0,\n",
    "        # so we can safely ignore this case and assume next state is always lower state\n",
    "        next_state = LOWER_STATE\n",
    "        delta = REWARD + DISCOUNT * np.dot(FEATURES[next_state, :], theta) - np.dot(FEATURES[state, :], theta)\n",
    "        expected_update += 1.0 / len(STATES) * BEHAVIOR_SOLID_PROBABILITY * next_emphasis * 1 / BEHAVIOR_SOLID_PROBABILITY * delta * FEATURES[state, :]\n",
    "    theta += alpha * expected_update\n",
    "    return expected_next_emphasis / len(STATES)\n",
    "\n",
    "# compute RMSVE for a value function parameterized by @theta\n",
    "# true value function is always 0 in this example\n",
    "def compute_RMSVE(theta):\n",
    "    return np.sqrt(np.dot(np.power(np.dot(FEATURES, theta), 2), STATE_DISTRIBUTION))\n",
    "\n",
    "# compute RMSPBE for a value function parameterized by @theta\n",
    "# true value function is always 0 in this example\n",
    "def compute_RMSPBE(theta):\n",
    "    bellman_error = np.zeros(len(STATES))\n",
    "    for state in STATES:\n",
    "        for next_state in STATES:\n",
    "            if next_state == LOWER_STATE:\n",
    "                bellman_error[state] += REWARD + DISCOUNT * np.dot(theta, FEATURES[next_state, :]) - np.dot(theta, FEATURES[state, :])\n",
    "    bellman_error = np.dot(np.asarray(PROJECTION_MAT), bellman_error)\n",
    "    return np.sqrt(np.dot(np.power(bellman_error, 2), STATE_DISTRIBUTION))\n",
    "\n",
    "figureIndex = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure 11.2(left), semi-gradient off-policy TD\n",
    "def figure_11_2_left():\n",
    "    # Initialize the theta\n",
    "    theta = np.ones(FEATURE_SIZE)\n",
    "    theta[6] = 10\n",
    "\n",
    "    alpha = 0.01\n",
    "\n",
    "    steps = 1000\n",
    "    thetas = np.zeros((FEATURE_SIZE, steps))\n",
    "    state = np.random.choice(STATES)\n",
    "    for step in tqdm(range(steps)):\n",
    "        state = semi_gradient_off_policy_TD(state, theta, alpha)\n",
    "        thetas[:, step] = theta\n",
    "\n",
    "    for i in range(FEATURE_SIZE):\n",
    "        plt.plot(thetas[i, :], label='theta' + str(i + 1))\n",
    "    plt.xlabel('Steps')\n",
    "    plt.ylabel('Theta value')\n",
    "    plt.title('semi-gradient off-policy TD')\n",
    "    plt.legend()\n",
    "\n",
    "# Figure 11.2(right), semi-gradient DP\n",
    "def figure_11_2_right():\n",
    "    # Initialize the theta\n",
    "    theta = np.ones(FEATURE_SIZE)\n",
    "    theta[6] = 10\n",
    "\n",
    "    alpha = 0.01\n",
    "\n",
    "    sweeps = 1000\n",
    "    thetas = np.zeros((FEATURE_SIZE, sweeps))\n",
    "    for sweep in tqdm(range(sweeps)):\n",
    "        semi_gradient_DP(theta, alpha)\n",
    "        thetas[:, sweep] = theta\n",
    "\n",
    "    for i in range(FEATURE_SIZE):\n",
    "        plt.plot(thetas[i, :], label='theta' + str(i + 1))\n",
    "    plt.xlabel('Sweeps')\n",
    "    plt.ylabel('Theta value')\n",
    "    plt.title('semi-gradient DP')\n",
    "    plt.legend()\n",
    "\n",
    "def figure_11_2():\n",
    "    plt.figure(figsize=(10, 20))\n",
    "    plt.subplot(2, 1, 1)\n",
    "    figure_11_2_left()\n",
    "    plt.subplot(2, 1, 2)\n",
    "    figure_11_2_right()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": "100%|██████████| 1000/1000 [00:00<00:00, 17255.54it/s]\n100%|██████████| 1000/1000 [00:00<00:00, 16438.90it/s]\n"
    },
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n<svg height=\"1147.074375pt\" version=\"1.1\" viewBox=\"0 0 615.665625 1147.074375\" width=\"615.665625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 1147.074375 \r\nL 615.665625 1147.074375 \r\nL 615.665625 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 46.965625 516.499943 \r\nL 604.965625 516.499943 \r\nL 604.965625 22.318125 \r\nL 46.965625 22.318125 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"mad3895797d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"72.329261\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-30\"/>\r\n      </defs>\r\n      <g transform=\"translate(69.148011 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.885363\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 200 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-32\"/>\r\n      </defs>\r\n      <g transform=\"translate(164.341613 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"275.441464\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 400 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-34\"/>\r\n      </defs>\r\n      <g transform=\"translate(265.897714 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.997566\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 600 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-36\"/>\r\n      </defs>\r\n      <g transform=\"translate(367.453816 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"478.553668\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 800 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-38\"/>\r\n      </defs>\r\n      <g transform=\"translate(469.009918 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"580.109769\" xlink:href=\"#mad3895797d\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 1000 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-31\"/>\r\n      </defs>\r\n      <g transform=\"translate(567.384769 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_7\">\r\n     <!-- Steps -->\r\n     <defs>\r\n      <path d=\"M 53.515625 70.515625 \r\nL 53.515625 60.890625 \r\nQ 47.90625 63.578125 42.921875 64.890625 \r\nQ 37.9375 66.21875 33.296875 66.21875 \r\nQ 25.25 66.21875 20.875 63.09375 \r\nQ 16.5 59.96875 16.5 54.203125 \r\nQ 16.5 49.359375 19.40625 46.890625 \r\nQ 22.3125 44.4375 30.421875 42.921875 \r\nL 36.375 41.703125 \r\nQ 47.40625 39.59375 52.65625 34.296875 \r\nQ 57.90625 29 57.90625 20.125 \r\nQ 57.90625 9.515625 50.796875 4.046875 \r\nQ 43.703125 -1.421875 29.984375 -1.421875 \r\nQ 24.8125 -1.421875 18.96875 -0.25 \r\nQ 13.140625 0.921875 6.890625 3.21875 \r\nL 6.890625 13.375 \r\nQ 12.890625 10.015625 18.65625 8.296875 \r\nQ 24.421875 6.59375 29.984375 6.59375 \r\nQ 38.421875 6.59375 43.015625 9.90625 \r\nQ 47.609375 13.234375 47.609375 19.390625 \r\nQ 47.609375 24.75 44.3125 27.78125 \r\nQ 41.015625 30.8125 33.5 32.328125 \r\nL 27.484375 33.5 \r\nQ 16.453125 35.6875 11.515625 40.375 \r\nQ 6.59375 45.0625 6.59375 53.421875 \r\nQ 6.59375 63.09375 13.40625 68.65625 \r\nQ 20.21875 74.21875 32.171875 74.21875 \r\nQ 37.3125 74.21875 42.625 73.28125 \r\nQ 47.953125 72.359375 53.515625 70.515625 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-74\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-65\"/>\r\n      <path d=\"M 18.109375 8.203125 \r\nL 18.109375 -20.796875 \r\nL 9.078125 -20.796875 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.390625 \r\nQ 20.953125 51.265625 25.265625 53.625 \r\nQ 29.59375 56 35.59375 56 \r\nQ 45.5625 56 51.78125 48.09375 \r\nQ 58.015625 40.1875 58.015625 27.296875 \r\nQ 58.015625 14.40625 51.78125 6.484375 \r\nQ 45.5625 -1.421875 35.59375 -1.421875 \r\nQ 29.59375 -1.421875 25.265625 0.953125 \r\nQ 20.953125 3.328125 18.109375 8.203125 \r\nz\r\nM 48.6875 27.296875 \r\nQ 48.6875 37.203125 44.609375 42.84375 \r\nQ 40.53125 48.484375 33.40625 48.484375 \r\nQ 26.265625 48.484375 22.1875 42.84375 \r\nQ 18.109375 37.203125 18.109375 27.296875 \r\nQ 18.109375 17.390625 22.1875 11.75 \r\nQ 26.265625 6.109375 33.40625 6.109375 \r\nQ 40.53125 6.109375 44.609375 11.75 \r\nQ 48.6875 17.390625 48.6875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-70\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-73\"/>\r\n     </defs>\r\n     <g transform=\"translate(311.975781 544.776506)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"102.685547\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.208984\" xlink:href=\"#DejaVuSans-70\"/>\r\n      <use x=\"227.685547\" xlink:href=\"#DejaVuSans-73\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m7681e524da\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"495.174572\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(33.603125 498.973791)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"437.330862\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 50 -->\r\n      <defs>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-35\"/>\r\n      </defs>\r\n      <g transform=\"translate(27.240625 441.130081)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"379.487153\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 100 -->\r\n      <g transform=\"translate(20.878125 383.286372)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"321.643444\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 150 -->\r\n      <g transform=\"translate(20.878125 325.442662)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"263.799734\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 200 -->\r\n      <g transform=\"translate(20.878125 267.598953)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"205.956025\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 250 -->\r\n      <g transform=\"translate(20.878125 209.755243)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"148.112315\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 300 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-33\"/>\r\n      </defs>\r\n      <g transform=\"translate(20.878125 151.911534)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-33\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_8\">\r\n     <g id=\"line2d_14\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"90.268606\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_15\">\r\n      <!-- 350 -->\r\n      <g transform=\"translate(20.878125 94.067824)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-33\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_9\">\r\n     <g id=\"line2d_15\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"32.424896\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_16\">\r\n      <!-- 400 -->\r\n      <g transform=\"translate(20.878125 36.224115)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_17\">\r\n     <!-- Theta value -->\r\n     <defs>\r\n      <path d=\"M -0.296875 72.90625 \r\nL 61.375 72.90625 \r\nL 61.375 64.59375 \r\nL 35.5 64.59375 \r\nL 35.5 0 \r\nL 25.59375 0 \r\nL 25.59375 64.59375 \r\nL -0.296875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      <path d=\"M 54.890625 33.015625 \r\nL 54.890625 0 \r\nL 45.90625 0 \r\nL 45.90625 32.71875 \r\nQ 45.90625 40.484375 42.875 44.328125 \r\nQ 39.84375 48.1875 33.796875 48.1875 \r\nQ 26.515625 48.1875 22.3125 43.546875 \r\nQ 18.109375 38.921875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 75.984375 \r\nL 18.109375 75.984375 \r\nL 18.109375 46.1875 \r\nQ 21.34375 51.125 25.703125 53.5625 \r\nQ 30.078125 56 35.796875 56 \r\nQ 45.21875 56 50.046875 50.171875 \r\nQ 54.890625 44.34375 54.890625 33.015625 \r\nz\r\n\" id=\"DejaVuSans-68\"/>\r\n      <path d=\"M 34.28125 27.484375 \r\nQ 23.390625 27.484375 19.1875 25 \r\nQ 14.984375 22.515625 14.984375 16.5 \r\nQ 14.984375 11.71875 18.140625 8.90625 \r\nQ 21.296875 6.109375 26.703125 6.109375 \r\nQ 34.1875 6.109375 38.703125 11.40625 \r\nQ 43.21875 16.703125 43.21875 25.484375 \r\nL 43.21875 27.484375 \r\nz\r\nM 52.203125 31.203125 \r\nL 52.203125 0 \r\nL 43.21875 0 \r\nL 43.21875 8.296875 \r\nQ 40.140625 3.328125 35.546875 0.953125 \r\nQ 30.953125 -1.421875 24.3125 -1.421875 \r\nQ 15.921875 -1.421875 10.953125 3.296875 \r\nQ 6 8.015625 6 15.921875 \r\nQ 6 25.140625 12.171875 29.828125 \r\nQ 18.359375 34.515625 30.609375 34.515625 \r\nL 43.21875 34.515625 \r\nL 43.21875 35.40625 \r\nQ 43.21875 41.609375 39.140625 45 \r\nQ 35.0625 48.390625 27.6875 48.390625 \r\nQ 23 48.390625 18.546875 47.265625 \r\nQ 14.109375 46.140625 10.015625 43.890625 \r\nL 10.015625 52.203125 \r\nQ 14.9375 54.109375 19.578125 55.046875 \r\nQ 24.21875 56 28.609375 56 \r\nQ 40.484375 56 46.34375 49.84375 \r\nQ 52.203125 43.703125 52.203125 31.203125 \r\nz\r\n\" id=\"DejaVuSans-61\"/>\r\n      <path id=\"DejaVuSans-20\"/>\r\n      <path d=\"M 2.984375 54.6875 \r\nL 12.5 54.6875 \r\nL 29.59375 8.796875 \r\nL 46.6875 54.6875 \r\nL 56.203125 54.6875 \r\nL 35.6875 0 \r\nL 23.484375 0 \r\nz\r\n\" id=\"DejaVuSans-76\"/>\r\n      <path d=\"M 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\n\" id=\"DejaVuSans-6c\"/>\r\n      <path d=\"M 8.5 21.578125 \r\nL 8.5 54.6875 \r\nL 17.484375 54.6875 \r\nL 17.484375 21.921875 \r\nQ 17.484375 14.15625 20.5 10.265625 \r\nQ 23.53125 6.390625 29.59375 6.390625 \r\nQ 36.859375 6.390625 41.078125 11.03125 \r\nQ 45.3125 15.671875 45.3125 23.6875 \r\nL 45.3125 54.6875 \r\nL 54.296875 54.6875 \r\nL 54.296875 0 \r\nL 45.3125 0 \r\nL 45.3125 8.40625 \r\nQ 42.046875 3.421875 37.71875 1 \r\nQ 33.40625 -1.421875 27.6875 -1.421875 \r\nQ 18.265625 -1.421875 13.375 4.4375 \r\nQ 8.5 10.296875 8.5 21.578125 \r\nz\r\nM 31.109375 56 \r\nz\r\n\" id=\"DejaVuSans-75\"/>\r\n     </defs>\r\n     <g transform=\"translate(14.798437 298.979347)rotate(-90)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-54\"/>\r\n      <use x=\"61.083984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"124.462891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"185.986328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"225.195312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"286.474609\" xlink:href=\"#DejaVuSans-20\"/>\r\n      <use x=\"318.261719\" xlink:href=\"#DejaVuSans-76\"/>\r\n      <use x=\"377.441406\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"438.720703\" xlink:href=\"#DejaVuSans-6c\"/>\r\n      <use x=\"466.503906\" xlink:href=\"#DejaVuSans-75\"/>\r\n      <use x=\"529.882812\" xlink:href=\"#DejaVuSans-65\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_16\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 86.039335 494.017698 \r\nL 86.547116 492.179015 \r\nL 141.38741 492.179015 \r\nL 141.895191 489.166075 \r\nL 167.791997 489.166075 \r\nL 168.299777 485.848892 \r\nL 186.579876 485.848892 \r\nL 187.087656 482.749518 \r\nL 198.258827 482.749518 \r\nL 198.766608 479.45616 \r\nL 203.844413 479.45616 \r\nL 204.352193 476.673019 \r\nL 224.663414 476.673019 \r\nL 225.171194 473.429723 \r\nL 241.42017 473.429723 \r\nL 241.927951 469.483864 \r\nL 242.435731 469.483864 \r\nL 242.943512 466.372159 \r\nL 252.591342 466.372159 \r\nL 253.099122 463.560896 \r\nL 253.606903 463.560896 \r\nL 254.114683 461.343934 \r\nL 256.653586 461.343934 \r\nL 257.161366 459.218972 \r\nL 269.348098 459.218972 \r\nL 269.855879 457.543227 \r\nL 293.213782 457.543227 \r\nL 293.721563 454.766145 \r\nL 303.877173 454.766145 \r\nL 304.384953 452.629718 \r\nL 320.63393 452.629718 \r\nL 321.14171 449.690946 \r\nL 338.914028 449.690946 \r\nL 339.421808 444.070766 \r\nL 352.624102 444.070766 \r\nL 353.131882 438.191159 \r\nL 374.966444 438.191159 \r\nL 375.474225 428.836194 \r\nL 529.839499 428.836194 \r\nL 530.347279 401.133435 \r\nL 533.393962 401.133435 \r\nL 533.901743 378.484678 \r\nL 562.337451 378.484678 \r\nL 562.845232 355.128069 \r\nL 575.031964 355.128069 \r\nL 575.539745 334.918188 \r\nL 578.586428 334.918188 \r\nL 579.094208 317.983555 \r\nL 579.601989 317.983555 \r\nL 579.601989 317.983555 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_17\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 114.475044 494.017698 \r\nL 114.982824 491.125083 \r\nL 131.739581 491.125083 \r\nL 132.247361 488.70372 \r\nL 157.128606 488.70372 \r\nL 157.636387 486.182065 \r\nL 232.280121 486.182065 \r\nL 232.787902 479.767983 \r\nL 233.803463 479.767983 \r\nL 234.311243 474.709838 \r\nL 254.622464 474.709838 \r\nL 255.130244 469.219089 \r\nL 307.431636 469.219089 \r\nL 307.939417 462.94329 \r\nL 335.359564 462.94329 \r\nL 335.867345 454.632207 \r\nL 337.898467 454.632207 \r\nL 338.406247 448.078087 \r\nL 348.054077 448.078087 \r\nL 348.561858 441.96519 \r\nL 356.686346 441.96519 \r\nL 357.194126 435.737943 \r\nL 361.25637 435.737943 \r\nL 361.764151 430.097518 \r\nL 398.324347 430.097518 \r\nL 398.832128 419.45181 \r\nL 440.47013 419.45181 \r\nL 440.97791 406.494758 \r\nL 467.382496 406.494758 \r\nL 467.890277 393.606141 \r\nL 472.460301 393.606141 \r\nL 472.968082 383.442178 \r\nL 579.601989 383.442178 \r\nL 579.601989 383.442178 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_18\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 88.070457 494.017698 \r\nL 88.578238 492.052881 \r\nL 98.733848 492.052881 \r\nL 99.241628 490.174147 \r\nL 163.221972 490.174147 \r\nL 163.729753 486.805774 \r\nL 183.533193 486.805774 \r\nL 184.040973 483.654641 \r\nL 189.118778 483.654641 \r\nL 189.626559 480.95704 \r\nL 220.60117 480.95704 \r\nL 221.10895 476.886163 \r\nL 237.865707 476.886163 \r\nL 238.373487 472.287939 \r\nL 324.188393 472.287939 \r\nL 324.696174 463.284515 \r\nL 326.727296 463.284515 \r\nL 327.235076 456.184415 \r\nL 359.225248 456.184415 \r\nL 359.733029 445.548595 \r\nL 366.841956 445.548595 \r\nL 367.349736 436.123435 \r\nL 382.075371 436.123435 \r\nL 382.583152 426.04203 \r\nL 389.184298 426.04203 \r\nL 389.692079 417.352987 \r\nL 392.230981 417.352987 \r\nL 392.738762 410.618503 \r\nL 410.51108 410.618503 \r\nL 411.01886 404.696623 \r\nL 417.620007 404.696623 \r\nL 418.127787 398.410343 \r\nL 421.682251 398.410343 \r\nL 422.190031 393.452982 \r\nL 464.335813 393.452982 \r\nL 464.843594 384.809037 \r\nL 482.108131 384.809037 \r\nL 482.615912 374.528918 \r\nL 552.181841 374.528918 \r\nL 552.689622 355.429404 \r\nL 560.81411 355.429404 \r\nL 561.32189 339.613259 \r\nL 579.601989 339.613259 \r\nL 579.601989 339.613259 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_19\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 77.914847 494.017698 \r\nL 78.422627 492.583485 \r\nL 89.593799 492.583485 \r\nL 90.101579 490.885462 \r\nL 122.091751 490.885462 \r\nL 122.599532 488.67144 \r\nL 139.356288 488.67144 \r\nL 139.864069 486.770992 \r\nL 191.657681 486.770992 \r\nL 192.165461 483.015757 \r\nL 194.704364 483.015757 \r\nL 195.212144 479.864059 \r\nL 199.274388 479.864059 \r\nL 199.782169 477.152705 \r\nL 208.414437 477.152705 \r\nL 208.922218 474.851315 \r\nL 210.95334 474.851315 \r\nL 211.46112 473.036439 \r\nL 212.984462 473.036439 \r\nL 213.492243 471.605228 \r\nL 218.062267 471.605228 \r\nL 218.570048 470.246095 \r\nL 222.124511 470.246095 \r\nL 222.632292 468.895021 \r\nL 285.089294 468.895021 \r\nL 285.597075 463.94414 \r\nL 286.612636 463.94414 \r\nL 287.120416 460.039875 \r\nL 328.758418 460.039875 \r\nL 329.266198 453.361207 \r\nL 330.78954 453.361207 \r\nL 331.29732 448.094409 \r\nL 363.795273 448.094409 \r\nL 364.303053 438.607241 \r\nL 368.365297 438.607241 \r\nL 368.873078 430.479094 \r\nL 446.563496 430.479094 \r\nL 447.071276 413.545549 \r\nL 461.28913 413.545549 \r\nL 461.796911 400.191756 \r\nL 520.191669 400.191756 \r\nL 520.69945 382.580856 \r\nL 568.938598 382.580856 \r\nL 569.446378 356.475053 \r\nL 579.601989 356.475053 \r\nL 579.601989 356.475053 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_20\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 79.438188 494.017698 \r\nL 79.945969 492.485098 \r\nL 82.484872 492.485098 \r\nL 82.992652 491.27649 \r\nL 102.288311 491.27649 \r\nL 102.796092 489.486264 \r\nL 107.366116 489.486264 \r\nL 107.873897 488.083744 \r\nL 110.412799 488.083744 \r\nL 110.92058 486.977716 \r\nL 111.936141 486.977716 \r\nL 112.443921 486.115448 \r\nL 151.03524 486.115448 \r\nL 151.543021 484.593619 \r\nL 173.885363 484.593619 \r\nL 174.393143 482.347805 \r\nL 193.688803 482.347805 \r\nL 194.196583 479.573454 \r\nL 216.031145 479.573454 \r\nL 216.538926 476.213697 \r\nL 250.56022 476.213697 \r\nL 251.068 471.004177 \r\nL 314.540564 471.004177 \r\nL 315.048344 463.439494 \r\nL 322.665052 463.439494 \r\nL 323.172832 457.332569 \r\nL 341.45293 457.332569 \r\nL 341.960711 449.18719 \r\nL 351.608541 449.18719 \r\nL 352.116321 442.3444 \r\nL 386.137615 442.3444 \r\nL 386.645396 429.94153 \r\nL 413.557763 429.94153 \r\nL 414.065543 418.202962 \r\nL 432.853422 418.202962 \r\nL 433.361202 406.950021 \r\nL 477.030326 406.950021 \r\nL 477.538107 392.352524 \r\nL 508.512718 392.352524 \r\nL 509.020498 377.926251 \r\nL 523.238352 377.926251 \r\nL 523.746133 365.341585 \r\nL 535.425084 365.341585 \r\nL 535.932865 351.371157 \r\nL 539.487329 351.371157 \r\nL 539.995109 340.354077 \r\nL 579.601989 340.354077 \r\nL 579.601989 340.354077 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_21\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.017698 \r\nL 84.515994 494.017698 \r\nL 85.023774 492.297051 \r\nL 93.148262 492.297051 \r\nL 93.656043 490.562745 \r\nL 96.702726 490.562745 \r\nL 97.210506 489.195071 \r\nL 155.605265 489.195071 \r\nL 156.113045 486.706551 \r\nL 159.159728 486.706551 \r\nL 159.667509 484.571118 \r\nL 161.698631 484.571118 \r\nL 162.206411 482.887115 \r\nL 177.439826 482.887115 \r\nL 177.947607 480.965059 \r\nL 227.710097 480.965059 \r\nL 228.217877 476.297501 \r\nL 276.964806 476.297501 \r\nL 277.472587 469.724812 \r\nL 288.135977 469.724812 \r\nL 288.643758 463.934127 \r\nL 313.017222 463.934127 \r\nL 313.525003 458.707598 \r\nL 355.163004 458.707598 \r\nL 355.670785 448.493185 \r\nL 372.427541 448.493185 \r\nL 372.935322 437.039383 \r\nL 376.489786 437.039383 \r\nL 376.997566 427.365164 \r\nL 415.588885 427.365164 \r\nL 416.096665 415.542712 \r\nL 429.298958 415.542712 \r\nL 429.806739 405.581878 \r\nL 439.454568 405.581878 \r\nL 439.962349 397.090889 \r\nL 478.045887 397.090889 \r\nL 478.553668 384.25256 \r\nL 488.709278 384.25256 \r\nL 489.217058 373.423038 \r\nL 506.989376 373.423038 \r\nL 507.497157 364.882877 \r\nL 530.85506 364.882877 \r\nL 531.36284 353.186638 \r\nL 549.642939 353.186638 \r\nL 550.150719 340.905452 \r\nL 559.290768 340.905452 \r\nL 559.798549 329.910282 \r\nL 576.047525 329.910282 \r\nL 576.555306 315.374984 \r\nL 579.601989 315.374984 \r\nL 579.601989 315.374984 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_22\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 483.615548 \r\nL 168.299777 483.690202 \r\nL 169.823119 483.735337 \r\nL 228.217877 483.802423 \r\nL 229.233438 483.885794 \r\nL 293.721563 483.885794 \r\nL 294.229343 484.015531 \r\nL 304.384953 484.015531 \r\nL 304.892734 484.146308 \r\nL 321.14171 484.146308 \r\nL 321.649491 484.292032 \r\nL 353.131882 484.292032 \r\nL 354.147443 484.696023 \r\nL 382.583152 484.696023 \r\nL 383.090932 484.967184 \r\nL 389.692079 484.967184 \r\nL 390.199859 485.252161 \r\nL 392.738762 485.252161 \r\nL 393.246542 485.540854 \r\nL 422.190031 485.540854 \r\nL 422.697812 485.864498 \r\nL 429.806739 485.864498 \r\nL 430.314519 486.193981 \r\nL 533.901743 486.193981 \r\nL 534.409523 486.703219 \r\nL 579.094208 486.703219 \r\nL 579.601989 487.3397 \r\nL 579.601989 487.3397 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_23\">\r\n    <path clip-path=\"url(#p68be62cf3f)\" d=\"M 72.329261 494.037133 \r\nL 77.914847 494.037133 \r\nL 78.422627 493.320027 \r\nL 79.438188 493.320027 \r\nL 79.945969 492.553727 \r\nL 82.484872 492.553727 \r\nL 82.992652 491.949423 \r\nL 84.515994 491.949423 \r\nL 85.023774 491.0891 \r\nL 86.039335 491.0891 \r\nL 86.547116 490.169759 \r\nL 88.070457 490.169759 \r\nL 88.578238 489.18735 \r\nL 89.593799 489.18735 \r\nL 90.101579 488.338339 \r\nL 93.148262 488.338339 \r\nL 93.656043 487.471186 \r\nL 96.702726 487.471186 \r\nL 97.210506 486.787349 \r\nL 98.733848 486.787349 \r\nL 99.241628 485.847982 \r\nL 102.288311 485.847982 \r\nL 102.796092 484.952869 \r\nL 104.319433 484.997672 \r\nL 107.366116 484.997672 \r\nL 107.873897 484.296412 \r\nL 110.412799 484.296412 \r\nL 110.92058 483.743398 \r\nL 111.936141 483.791557 \r\nL 112.443921 483.360422 \r\nL 114.475044 483.360422 \r\nL 114.982824 481.914115 \r\nL 122.091751 481.914115 \r\nL 122.599532 480.807104 \r\nL 123.615093 480.86345 \r\nL 131.739581 480.86345 \r\nL 132.247361 479.652769 \r\nL 139.356288 479.652769 \r\nL 139.864069 478.702545 \r\nL 141.38741 478.702545 \r\nL 141.895191 477.196075 \r\nL 151.03524 477.196075 \r\nL 151.543021 476.43516 \r\nL 155.605265 476.43516 \r\nL 156.113045 475.1909 \r\nL 157.128606 475.1909 \r\nL 157.636387 473.930073 \r\nL 159.159728 473.930073 \r\nL 159.667509 472.862356 \r\nL 161.698631 472.862356 \r\nL 162.206411 472.020355 \r\nL 163.221972 472.020355 \r\nL 163.729753 470.336168 \r\nL 167.791997 470.336168 \r\nL 168.299777 468.677576 \r\nL 169.315338 468.767846 \r\nL 173.885363 468.767846 \r\nL 174.393143 467.644939 \r\nL 177.439826 467.644939 \r\nL 177.947607 466.683911 \r\nL 183.533193 466.683911 \r\nL 184.040973 465.108345 \r\nL 186.579876 465.108345 \r\nL 187.087656 463.558658 \r\nL 189.118778 463.558658 \r\nL 189.626559 462.209858 \r\nL 191.657681 462.209858 \r\nL 192.165461 460.33224 \r\nL 193.688803 460.33224 \r\nL 194.196583 458.945065 \r\nL 194.704364 458.945065 \r\nL 195.212144 457.369216 \r\nL 198.258827 457.369216 \r\nL 198.766608 455.722537 \r\nL 199.274388 455.722537 \r\nL 199.782169 454.36686 \r\nL 203.844413 454.36686 \r\nL 204.352193 452.97529 \r\nL 204.859974 453.109463 \r\nL 208.414437 453.109463 \r\nL 208.922218 451.958768 \r\nL 210.95334 451.958768 \r\nL 211.46112 451.051329 \r\nL 212.984462 451.051329 \r\nL 213.492243 450.335724 \r\nL 216.031145 450.335724 \r\nL 216.538926 448.655845 \r\nL 218.062267 448.655845 \r\nL 218.570048 447.976279 \r\nL 220.60117 447.976279 \r\nL 221.10895 445.940841 \r\nL 222.124511 445.940841 \r\nL 222.632292 445.265304 \r\nL 224.663414 445.265304 \r\nL 225.171194 443.643655 \r\nL 227.710097 443.643655 \r\nL 228.217877 441.309876 \r\nL 228.725658 441.476618 \r\nL 232.280121 441.476618 \r\nL 232.787902 438.269578 \r\nL 233.803463 438.269578 \r\nL 234.311243 435.740505 \r\nL 237.865707 435.740505 \r\nL 238.373487 433.441393 \r\nL 241.42017 433.441393 \r\nL 241.927951 431.468463 \r\nL 242.435731 431.468463 \r\nL 242.943512 429.912611 \r\nL 250.56022 429.912611 \r\nL 251.068 427.307851 \r\nL 252.591342 427.307851 \r\nL 253.099122 425.902219 \r\nL 253.606903 425.902219 \r\nL 254.114683 424.793738 \r\nL 254.622464 424.793738 \r\nL 255.130244 422.048364 \r\nL 256.653586 422.048364 \r\nL 257.161366 420.985883 \r\nL 269.348098 420.985883 \r\nL 269.855879 420.14801 \r\nL 276.964806 420.14801 \r\nL 277.472587 416.861666 \r\nL 285.089294 416.861666 \r\nL 285.597075 414.386225 \r\nL 286.612636 414.386225 \r\nL 287.120416 412.434093 \r\nL 288.135977 412.434093 \r\nL 288.643758 409.53875 \r\nL 293.213782 409.53875 \r\nL 293.721563 408.150209 \r\nL 294.229343 408.409681 \r\nL 303.877173 408.409681 \r\nL 304.384953 407.341468 \r\nL 304.892734 407.603023 \r\nL 307.431636 407.603023 \r\nL 307.939417 404.465124 \r\nL 313.017222 404.465124 \r\nL 313.525003 401.85186 \r\nL 314.540564 401.85186 \r\nL 315.048344 398.069518 \r\nL 320.63393 398.069518 \r\nL 321.14171 396.600132 \r\nL 321.649491 396.89158 \r\nL 322.665052 396.89158 \r\nL 323.172832 393.838118 \r\nL 324.188393 393.838118 \r\nL 324.696174 389.336406 \r\nL 326.727296 389.336406 \r\nL 327.235076 385.786356 \r\nL 328.758418 385.786356 \r\nL 329.266198 382.447022 \r\nL 330.78954 382.447022 \r\nL 331.29732 379.813623 \r\nL 335.359564 379.813623 \r\nL 335.867345 375.658081 \r\nL 337.898467 375.658081 \r\nL 338.406247 372.381021 \r\nL 338.914028 372.381021 \r\nL 339.421808 369.570931 \r\nL 341.45293 369.570931 \r\nL 341.960711 365.498242 \r\nL 348.054077 365.498242 \r\nL 348.561858 362.441793 \r\nL 351.608541 362.441793 \r\nL 352.116321 359.020398 \r\nL 352.624102 359.020398 \r\nL 353.131882 356.080594 \r\nL 354.147443 356.888575 \r\nL 355.163004 356.888575 \r\nL 355.670785 351.781369 \r\nL 356.686346 351.781369 \r\nL 357.194126 348.667745 \r\nL 359.225248 348.667745 \r\nL 359.733029 343.349836 \r\nL 361.25637 343.349836 \r\nL 361.764151 340.529623 \r\nL 363.795273 340.529623 \r\nL 364.303053 335.786039 \r\nL 366.841956 335.786039 \r\nL 367.349736 331.073459 \r\nL 368.365297 331.073459 \r\nL 368.873078 327.009386 \r\nL 372.427541 327.009386 \r\nL 372.935322 321.282485 \r\nL 374.966444 321.282485 \r\nL 375.474225 316.605002 \r\nL 376.489786 316.605002 \r\nL 376.997566 311.767892 \r\nL 382.075371 311.767892 \r\nL 382.583152 306.72719 \r\nL 383.090932 307.269512 \r\nL 386.137615 307.269512 \r\nL 386.645396 301.068077 \r\nL 389.184298 301.068077 \r\nL 389.692079 296.723556 \r\nL 390.199859 297.293509 \r\nL 392.230981 297.293509 \r\nL 392.738762 293.926267 \r\nL 393.246542 294.503653 \r\nL 398.324347 294.503653 \r\nL 398.832128 289.180799 \r\nL 410.51108 289.180799 \r\nL 411.01886 286.21986 \r\nL 413.557763 286.21986 \r\nL 414.065543 280.350575 \r\nL 415.588885 280.350575 \r\nL 416.096665 274.43935 \r\nL 417.620007 274.43935 \r\nL 418.127787 271.29621 \r\nL 421.682251 271.29621 \r\nL 422.190031 268.81753 \r\nL 422.697812 269.464816 \r\nL 429.298958 269.464816 \r\nL 429.806739 264.484399 \r\nL 430.314519 265.143366 \r\nL 432.853422 265.143366 \r\nL 433.361202 259.516896 \r\nL 439.454568 259.516896 \r\nL 439.962349 255.271401 \r\nL 440.47013 255.271401 \r\nL 440.97791 248.792875 \r\nL 446.563496 248.792875 \r\nL 447.071276 240.326103 \r\nL 461.28913 240.326103 \r\nL 461.796911 233.649206 \r\nL 464.335813 233.649206 \r\nL 464.843594 229.327234 \r\nL 467.382496 229.327234 \r\nL 467.890277 222.882925 \r\nL 472.460301 222.882925 \r\nL 472.968082 217.800944 \r\nL 477.030326 217.800944 \r\nL 477.538107 210.502195 \r\nL 478.045887 210.502195 \r\nL 478.553668 204.08303 \r\nL 482.108131 204.08303 \r\nL 482.615912 198.942971 \r\nL 488.709278 198.942971 \r\nL 489.217058 193.528209 \r\nL 506.989376 193.528209 \r\nL 507.497157 189.258129 \r\nL 508.512718 189.258129 \r\nL 509.020498 182.044992 \r\nL 520.191669 182.044992 \r\nL 520.69945 173.239543 \r\nL 523.238352 173.239543 \r\nL 523.746133 166.947209 \r\nL 529.839499 166.947209 \r\nL 530.347279 153.09583 \r\nL 530.85506 153.09583 \r\nL 531.36284 147.247711 \r\nL 533.393962 147.247711 \r\nL 533.901743 135.923333 \r\nL 534.409523 136.941809 \r\nL 535.425084 136.941809 \r\nL 535.932865 129.956595 \r\nL 539.487329 129.956595 \r\nL 539.995109 124.448055 \r\nL 549.642939 124.448055 \r\nL 550.150719 118.307462 \r\nL 552.181841 118.307462 \r\nL 552.689622 108.757705 \r\nL 559.290768 108.757705 \r\nL 559.798549 103.26012 \r\nL 560.81411 103.26012 \r\nL 561.32189 95.352047 \r\nL 562.337451 95.352047 \r\nL 562.845232 83.673742 \r\nL 568.938598 83.673742 \r\nL 569.446378 70.620841 \r\nL 575.031964 70.620841 \r\nL 575.539745 60.515901 \r\nL 576.047525 60.515901 \r\nL 576.555306 53.248252 \r\nL 578.586428 53.248252 \r\nL 579.094208 44.780935 \r\nL 579.601989 46.053897 \r\nL 579.601989 46.053897 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 46.965625 516.499943 \r\nL 46.965625 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 604.965625 516.499943 \r\nL 604.965625 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 46.965625 516.499943 \r\nL 604.965625 516.499943 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 46.965625 22.318125 \r\nL 604.965625 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"text_18\">\r\n    <!-- semi-gradient off-policy TD -->\r\n    <defs>\r\n     <path d=\"M 52 44.1875 \r\nQ 55.375 50.25 60.0625 53.125 \r\nQ 64.75 56 71.09375 56 \r\nQ 79.640625 56 84.28125 50.015625 \r\nQ 88.921875 44.046875 88.921875 33.015625 \r\nL 88.921875 0 \r\nL 79.890625 0 \r\nL 79.890625 32.71875 \r\nQ 79.890625 40.578125 77.09375 44.375 \r\nQ 74.3125 48.1875 68.609375 48.1875 \r\nQ 61.625 48.1875 57.5625 43.546875 \r\nQ 53.515625 38.921875 53.515625 30.90625 \r\nL 53.515625 0 \r\nL 44.484375 0 \r\nL 44.484375 32.71875 \r\nQ 44.484375 40.625 41.703125 44.40625 \r\nQ 38.921875 48.1875 33.109375 48.1875 \r\nQ 26.21875 48.1875 22.15625 43.53125 \r\nQ 18.109375 38.875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 21.1875 51.21875 25.484375 53.609375 \r\nQ 29.78125 56 35.6875 56 \r\nQ 41.65625 56 45.828125 52.96875 \r\nQ 50 49.953125 52 44.1875 \r\nz\r\n\" id=\"DejaVuSans-6d\"/>\r\n     <path d=\"M 9.421875 54.6875 \r\nL 18.40625 54.6875 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\nM 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 64.59375 \r\nL 9.421875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-69\"/>\r\n     <path d=\"M 4.890625 31.390625 \r\nL 31.203125 31.390625 \r\nL 31.203125 23.390625 \r\nL 4.890625 23.390625 \r\nz\r\n\" id=\"DejaVuSans-2d\"/>\r\n     <path d=\"M 45.40625 27.984375 \r\nQ 45.40625 37.75 41.375 43.109375 \r\nQ 37.359375 48.484375 30.078125 48.484375 \r\nQ 22.859375 48.484375 18.828125 43.109375 \r\nQ 14.796875 37.75 14.796875 27.984375 \r\nQ 14.796875 18.265625 18.828125 12.890625 \r\nQ 22.859375 7.515625 30.078125 7.515625 \r\nQ 37.359375 7.515625 41.375 12.890625 \r\nQ 45.40625 18.265625 45.40625 27.984375 \r\nz\r\nM 54.390625 6.78125 \r\nQ 54.390625 -7.171875 48.1875 -13.984375 \r\nQ 42 -20.796875 29.203125 -20.796875 \r\nQ 24.46875 -20.796875 20.265625 -20.09375 \r\nQ 16.0625 -19.390625 12.109375 -17.921875 \r\nL 12.109375 -9.1875 \r\nQ 16.0625 -11.328125 19.921875 -12.34375 \r\nQ 23.78125 -13.375 27.78125 -13.375 \r\nQ 36.625 -13.375 41.015625 -8.765625 \r\nQ 45.40625 -4.15625 45.40625 5.171875 \r\nL 45.40625 9.625 \r\nQ 42.625 4.78125 38.28125 2.390625 \r\nQ 33.9375 0 27.875 0 \r\nQ 17.828125 0 11.671875 7.65625 \r\nQ 5.515625 15.328125 5.515625 27.984375 \r\nQ 5.515625 40.671875 11.671875 48.328125 \r\nQ 17.828125 56 27.875 56 \r\nQ 33.9375 56 38.28125 53.609375 \r\nQ 42.625 51.21875 45.40625 46.390625 \r\nL 45.40625 54.6875 \r\nL 54.390625 54.6875 \r\nz\r\n\" id=\"DejaVuSans-67\"/>\r\n     <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-72\"/>\r\n     <path d=\"M 45.40625 46.390625 \r\nL 45.40625 75.984375 \r\nL 54.390625 75.984375 \r\nL 54.390625 0 \r\nL 45.40625 0 \r\nL 45.40625 8.203125 \r\nQ 42.578125 3.328125 38.25 0.953125 \r\nQ 33.9375 -1.421875 27.875 -1.421875 \r\nQ 17.96875 -1.421875 11.734375 6.484375 \r\nQ 5.515625 14.40625 5.515625 27.296875 \r\nQ 5.515625 40.1875 11.734375 48.09375 \r\nQ 17.96875 56 27.875 56 \r\nQ 33.9375 56 38.25 53.625 \r\nQ 42.578125 51.265625 45.40625 46.390625 \r\nz\r\nM 14.796875 27.296875 \r\nQ 14.796875 17.390625 18.875 11.75 \r\nQ 22.953125 6.109375 30.078125 6.109375 \r\nQ 37.203125 6.109375 41.296875 11.75 \r\nQ 45.40625 17.390625 45.40625 27.296875 \r\nQ 45.40625 37.203125 41.296875 42.84375 \r\nQ 37.203125 48.484375 30.078125 48.484375 \r\nQ 22.953125 48.484375 18.875 42.84375 \r\nQ 14.796875 37.203125 14.796875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-64\"/>\r\n     <path d=\"M 54.890625 33.015625 \r\nL 54.890625 0 \r\nL 45.90625 0 \r\nL 45.90625 32.71875 \r\nQ 45.90625 40.484375 42.875 44.328125 \r\nQ 39.84375 48.1875 33.796875 48.1875 \r\nQ 26.515625 48.1875 22.3125 43.546875 \r\nQ 18.109375 38.921875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 21.34375 51.125 25.703125 53.5625 \r\nQ 30.078125 56 35.796875 56 \r\nQ 45.21875 56 50.046875 50.171875 \r\nQ 54.890625 44.34375 54.890625 33.015625 \r\nz\r\n\" id=\"DejaVuSans-6e\"/>\r\n     <path d=\"M 30.609375 48.390625 \r\nQ 23.390625 48.390625 19.1875 42.75 \r\nQ 14.984375 37.109375 14.984375 27.296875 \r\nQ 14.984375 17.484375 19.15625 11.84375 \r\nQ 23.34375 6.203125 30.609375 6.203125 \r\nQ 37.796875 6.203125 41.984375 11.859375 \r\nQ 46.1875 17.53125 46.1875 27.296875 \r\nQ 46.1875 37.015625 41.984375 42.703125 \r\nQ 37.796875 48.390625 30.609375 48.390625 \r\nz\r\nM 30.609375 56 \r\nQ 42.328125 56 49.015625 48.375 \r\nQ 55.71875 40.765625 55.71875 27.296875 \r\nQ 55.71875 13.875 49.015625 6.21875 \r\nQ 42.328125 -1.421875 30.609375 -1.421875 \r\nQ 18.84375 -1.421875 12.171875 6.21875 \r\nQ 5.515625 13.875 5.515625 27.296875 \r\nQ 5.515625 40.765625 12.171875 48.375 \r\nQ 18.84375 56 30.609375 56 \r\nz\r\n\" id=\"DejaVuSans-6f\"/>\r\n     <path d=\"M 37.109375 75.984375 \r\nL 37.109375 68.5 \r\nL 28.515625 68.5 \r\nQ 23.6875 68.5 21.796875 66.546875 \r\nQ 19.921875 64.59375 19.921875 59.515625 \r\nL 19.921875 54.6875 \r\nL 34.71875 54.6875 \r\nL 34.71875 47.703125 \r\nL 19.921875 47.703125 \r\nL 19.921875 0 \r\nL 10.890625 0 \r\nL 10.890625 47.703125 \r\nL 2.296875 47.703125 \r\nL 2.296875 54.6875 \r\nL 10.890625 54.6875 \r\nL 10.890625 58.5 \r\nQ 10.890625 67.625 15.140625 71.796875 \r\nQ 19.390625 75.984375 28.609375 75.984375 \r\nz\r\n\" id=\"DejaVuSans-66\"/>\r\n     <path d=\"M 48.78125 52.59375 \r\nL 48.78125 44.1875 \r\nQ 44.96875 46.296875 41.140625 47.34375 \r\nQ 37.3125 48.390625 33.40625 48.390625 \r\nQ 24.65625 48.390625 19.8125 42.84375 \r\nQ 14.984375 37.3125 14.984375 27.296875 \r\nQ 14.984375 17.28125 19.8125 11.734375 \r\nQ 24.65625 6.203125 33.40625 6.203125 \r\nQ 37.3125 6.203125 41.140625 7.25 \r\nQ 44.96875 8.296875 48.78125 10.40625 \r\nL 48.78125 2.09375 \r\nQ 45.015625 0.34375 40.984375 -0.53125 \r\nQ 36.96875 -1.421875 32.421875 -1.421875 \r\nQ 20.0625 -1.421875 12.78125 6.34375 \r\nQ 5.515625 14.109375 5.515625 27.296875 \r\nQ 5.515625 40.671875 12.859375 48.328125 \r\nQ 20.21875 56 33.015625 56 \r\nQ 37.15625 56 41.109375 55.140625 \r\nQ 45.0625 54.296875 48.78125 52.59375 \r\nz\r\n\" id=\"DejaVuSans-63\"/>\r\n     <path d=\"M 32.171875 -5.078125 \r\nQ 28.375 -14.84375 24.75 -17.8125 \r\nQ 21.140625 -20.796875 15.09375 -20.796875 \r\nL 7.90625 -20.796875 \r\nL 7.90625 -13.28125 \r\nL 13.1875 -13.28125 \r\nQ 16.890625 -13.28125 18.9375 -11.515625 \r\nQ 21 -9.765625 23.484375 -3.21875 \r\nL 25.09375 0.875 \r\nL 2.984375 54.6875 \r\nL 12.5 54.6875 \r\nL 29.59375 11.921875 \r\nL 46.6875 54.6875 \r\nL 56.203125 54.6875 \r\nz\r\n\" id=\"DejaVuSans-79\"/>\r\n     <path d=\"M 19.671875 64.796875 \r\nL 19.671875 8.109375 \r\nL 31.59375 8.109375 \r\nQ 46.6875 8.109375 53.6875 14.9375 \r\nQ 60.6875 21.78125 60.6875 36.53125 \r\nQ 60.6875 51.171875 53.6875 57.984375 \r\nQ 46.6875 64.796875 31.59375 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 30.078125 72.90625 \r\nQ 51.265625 72.90625 61.171875 64.09375 \r\nQ 71.09375 55.28125 71.09375 36.53125 \r\nQ 71.09375 17.671875 61.125 8.828125 \r\nQ 51.171875 0 30.078125 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-44\"/>\r\n    </defs>\r\n    <g transform=\"translate(244.37875 16.318125)scale(0.12 -0.12)\">\r\n     <use xlink:href=\"#DejaVuSans-73\"/>\r\n     <use x=\"52.099609\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"113.623047\" xlink:href=\"#DejaVuSans-6d\"/>\r\n     <use x=\"211.035156\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"238.818359\" xlink:href=\"#DejaVuSans-2d\"/>\r\n     <use x=\"274.902344\" xlink:href=\"#DejaVuSans-67\"/>\r\n     <use x=\"338.378906\" xlink:href=\"#DejaVuSans-72\"/>\r\n     <use x=\"379.492188\" xlink:href=\"#DejaVuSans-61\"/>\r\n     <use x=\"440.771484\" xlink:href=\"#DejaVuSans-64\"/>\r\n     <use x=\"504.248047\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"532.03125\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"593.554688\" xlink:href=\"#DejaVuSans-6e\"/>\r\n     <use x=\"656.933594\" xlink:href=\"#DejaVuSans-74\"/>\r\n     <use x=\"696.142578\" xlink:href=\"#DejaVuSans-20\"/>\r\n     <use x=\"727.929688\" xlink:href=\"#DejaVuSans-6f\"/>\r\n     <use x=\"789.111328\" xlink:href=\"#DejaVuSans-66\"/>\r\n     <use x=\"824.316406\" xlink:href=\"#DejaVuSans-66\"/>\r\n     <use x=\"859.443359\" xlink:href=\"#DejaVuSans-2d\"/>\r\n     <use x=\"895.527344\" xlink:href=\"#DejaVuSans-70\"/>\r\n     <use x=\"959.003906\" xlink:href=\"#DejaVuSans-6f\"/>\r\n     <use x=\"1020.185547\" xlink:href=\"#DejaVuSans-6c\"/>\r\n     <use x=\"1047.96875\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"1075.751953\" xlink:href=\"#DejaVuSans-63\"/>\r\n     <use x=\"1130.732422\" xlink:href=\"#DejaVuSans-79\"/>\r\n     <use x=\"1189.912109\" xlink:href=\"#DejaVuSans-20\"/>\r\n     <use x=\"1221.699219\" xlink:href=\"#DejaVuSans-54\"/>\r\n     <use x=\"1282.783203\" xlink:href=\"#DejaVuSans-44\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 53.965625 147.743125 \r\nL 118.7875 147.743125 \r\nQ 120.7875 147.743125 120.7875 145.743125 \r\nL 120.7875 29.318125 \r\nQ 120.7875 27.318125 118.7875 27.318125 \r\nL 53.965625 27.318125 \r\nQ 51.965625 27.318125 51.965625 29.318125 \r\nL 51.965625 145.743125 \r\nQ 51.965625 147.743125 53.965625 147.743125 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_24\">\r\n     <path d=\"M 55.965625 35.416563 \r\nL 75.965625 35.416563 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_25\"/>\r\n    <g id=\"text_19\">\r\n     <!-- theta1 -->\r\n     <g transform=\"translate(83.965625 38.916563)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-31\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_26\">\r\n     <path d=\"M 55.965625 50.094687 \r\nL 75.965625 50.094687 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_27\"/>\r\n    <g id=\"text_20\">\r\n     <!-- theta2 -->\r\n     <g transform=\"translate(83.965625 53.594687)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-32\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_28\">\r\n     <path d=\"M 55.965625 64.772813 \r\nL 75.965625 64.772813 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_29\"/>\r\n    <g id=\"text_21\">\r\n     <!-- theta3 -->\r\n     <g transform=\"translate(83.965625 68.272813)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-33\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_30\">\r\n     <path d=\"M 55.965625 79.450938 \r\nL 75.965625 79.450938 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_31\"/>\r\n    <g id=\"text_22\">\r\n     <!-- theta4 -->\r\n     <g transform=\"translate(83.965625 82.950938)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-34\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_32\">\r\n     <path d=\"M 55.965625 94.129063 \r\nL 75.965625 94.129063 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_33\"/>\r\n    <g id=\"text_23\">\r\n     <!-- theta5 -->\r\n     <g transform=\"translate(83.965625 97.629063)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-35\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_34\">\r\n     <path d=\"M 55.965625 108.807188 \r\nL 75.965625 108.807188 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_35\"/>\r\n    <g id=\"text_24\">\r\n     <!-- theta6 -->\r\n     <g transform=\"translate(83.965625 112.307188)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-36\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_36\">\r\n     <path d=\"M 55.965625 123.485313 \r\nL 75.965625 123.485313 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_37\"/>\r\n    <g id=\"text_25\">\r\n     <!-- theta7 -->\r\n     <defs>\r\n      <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-37\"/>\r\n     </defs>\r\n     <g transform=\"translate(83.965625 126.985313)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-37\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_38\">\r\n     <path d=\"M 55.965625 138.163438 \r\nL 75.965625 138.163438 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_39\"/>\r\n    <g id=\"text_26\">\r\n     <!-- theta8 -->\r\n     <g transform=\"translate(83.965625 141.663438)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-38\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n  <g id=\"axes_2\">\r\n   <g id=\"patch_8\">\r\n    <path d=\"M 46.965625 1109.518125 \r\nL 604.965625 1109.518125 \r\nL 604.965625 615.336307 \r\nL 46.965625 615.336307 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_3\">\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_40\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"72.329261\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_27\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(69.148011 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_41\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.885363\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_28\">\r\n      <!-- 200 -->\r\n      <g transform=\"translate(164.341613 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_9\">\r\n     <g id=\"line2d_42\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"275.441464\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_29\">\r\n      <!-- 400 -->\r\n      <g transform=\"translate(265.897714 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_10\">\r\n     <g id=\"line2d_43\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.997566\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_30\">\r\n      <!-- 600 -->\r\n      <g transform=\"translate(367.453816 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_11\">\r\n     <g id=\"line2d_44\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"478.553668\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_31\">\r\n      <!-- 800 -->\r\n      <g transform=\"translate(469.009918 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_12\">\r\n     <g id=\"line2d_45\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"580.109769\" xlink:href=\"#mad3895797d\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_32\">\r\n      <!-- 1000 -->\r\n      <g transform=\"translate(567.384769 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_33\">\r\n     <!-- Sweeps -->\r\n     <defs>\r\n      <path d=\"M 4.203125 54.6875 \r\nL 13.1875 54.6875 \r\nL 24.421875 12.015625 \r\nL 35.59375 54.6875 \r\nL 46.1875 54.6875 \r\nL 57.421875 12.015625 \r\nL 68.609375 54.6875 \r\nL 77.59375 54.6875 \r\nL 63.28125 0 \r\nL 52.6875 0 \r\nL 40.921875 44.828125 \r\nL 29.109375 0 \r\nL 18.5 0 \r\nz\r\n\" id=\"DejaVuSans-77\"/>\r\n     </defs>\r\n     <g transform=\"translate(306.770312 1137.794688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-77\"/>\r\n      <use x=\"145.263672\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"206.787109\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"268.310547\" xlink:href=\"#DejaVuSans-70\"/>\r\n      <use x=\"331.787109\" xlink:href=\"#DejaVuSans-73\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_4\">\r\n    <g id=\"ytick_10\">\r\n     <g id=\"line2d_46\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"1088.43462\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_34\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(33.603125 1092.233839)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_11\">\r\n     <g id=\"line2d_47\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"1021.175832\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_35\">\r\n      <!-- 50 -->\r\n      <g transform=\"translate(27.240625 1024.975051)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_12\">\r\n     <g id=\"line2d_48\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"953.917045\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_36\">\r\n      <!-- 100 -->\r\n      <g transform=\"translate(20.878125 957.716263)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_13\">\r\n     <g id=\"line2d_49\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"886.658257\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_37\">\r\n      <!-- 150 -->\r\n      <g transform=\"translate(20.878125 890.457476)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_14\">\r\n     <g id=\"line2d_50\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"819.39947\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_38\">\r\n      <!-- 200 -->\r\n      <g transform=\"translate(20.878125 823.198688)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_15\">\r\n     <g id=\"line2d_51\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"752.140682\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_39\">\r\n      <!-- 250 -->\r\n      <g transform=\"translate(20.878125 755.939901)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_16\">\r\n     <g id=\"line2d_52\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"684.881894\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_40\">\r\n      <!-- 300 -->\r\n      <g transform=\"translate(20.878125 688.681113)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-33\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_17\">\r\n     <g id=\"line2d_53\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7681e524da\" y=\"617.623107\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_41\">\r\n      <!-- 350 -->\r\n      <g transform=\"translate(20.878125 621.422326)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-33\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_42\">\r\n     <!-- Theta value -->\r\n     <g transform=\"translate(14.798437 891.997528)rotate(-90)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-54\"/>\r\n      <use x=\"61.083984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"124.462891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"185.986328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"225.195312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"286.474609\" xlink:href=\"#DejaVuSans-20\"/>\r\n      <use x=\"318.261719\" xlink:href=\"#DejaVuSans-76\"/>\r\n      <use x=\"377.441406\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"438.720703\" xlink:href=\"#DejaVuSans-6c\"/>\r\n      <use x=\"466.503906\" xlink:href=\"#DejaVuSans-75\"/>\r\n      <use x=\"529.882812\" xlink:href=\"#DejaVuSans-65\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_54\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_55\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_56\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_57\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_58\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_59\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1087.055315 \r\nL 97.210506 1085.268725 \r\nL 120.56841 1083.371222 \r\nL 142.910752 1081.333068 \r\nL 163.729753 1079.215772 \r\nL 184.040973 1076.925999 \r\nL 203.336632 1074.525201 \r\nL 221.616731 1072.028722 \r\nL 239.389048 1069.375605 \r\nL 256.145805 1066.652336 \r\nL 272.394781 1063.788936 \r\nL 288.135977 1060.789287 \r\nL 303.369392 1057.658574 \r\nL 318.095027 1054.403329 \r\nL 332.312881 1051.031466 \r\nL 346.022955 1047.552304 \r\nL 359.225248 1043.976569 \r\nL 371.919761 1040.316383 \r\nL 384.614274 1036.424957 \r\nL 396.801006 1032.458402 \r\nL 408.987738 1028.252207 \r\nL 420.66669 1023.983293 \r\nL 431.837861 1019.669705 \r\nL 443.009032 1015.118593 \r\nL 453.672423 1010.540982 \r\nL 464.335813 1005.72349 \r\nL 474.999204 1000.653753 \r\nL 485.154814 995.579031 \r\nL 495.310424 990.251931 \r\nL 504.958254 984.946161 \r\nL 514.606084 979.390346 \r\nL 524.253913 973.572856 \r\nL 533.393962 967.809149 \r\nL 542.534012 961.788853 \r\nL 551.674061 955.500679 \r\nL 560.81411 948.932838 \r\nL 569.446378 942.462003 \r\nL 578.078647 935.719933 \r\nL 579.601989 934.50116 \r\nL 579.601989 934.50116 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_60\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1074.983093 \r\nL 197.751047 1075.151066 \r\nL 292.706002 1075.492776 \r\nL 369.380858 1075.985295 \r\nL 433.868983 1076.617488 \r\nL 489.217058 1077.376822 \r\nL 537.963987 1078.262023 \r\nL 579.601989 1079.220125 \r\nL 579.601989 1079.220125 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_61\">\r\n    <path clip-path=\"url(#p0f639a3fc8)\" d=\"M 72.329261 1086.987518 \r\nL 87.054896 1083.9145 \r\nL 101.27275 1080.722217 \r\nL 114.982824 1077.41979 \r\nL 128.185117 1074.017729 \r\nL 141.38741 1070.383689 \r\nL 154.081923 1066.656743 \r\nL 166.268655 1062.850991 \r\nL 178.455387 1058.808578 \r\nL 190.134339 1054.699546 \r\nL 201.30551 1050.541691 \r\nL 212.476682 1046.149174 \r\nL 223.140072 1041.725736 \r\nL 233.803463 1037.065257 \r\nL 244.466854 1032.155497 \r\nL 254.622464 1027.236004 \r\nL 264.778074 1022.067055 \r\nL 274.425903 1016.914343 \r\nL 284.073733 1011.514443 \r\nL 293.721563 1005.855837 \r\nL 302.861612 1000.245501 \r\nL 312.001661 994.381456 \r\nL 321.14171 988.252524 \r\nL 330.281759 981.847032 \r\nL 338.914028 975.532488 \r\nL 347.546297 968.949695 \r\nL 356.178565 962.087506 \r\nL 364.810834 954.934313 \r\nL 373.443102 947.478026 \r\nL 381.567591 940.1722 \r\nL 389.692079 932.575822 \r\nL 397.816567 924.677546 \r\nL 405.941055 916.465586 \r\nL 414.065543 907.927696 \r\nL 422.190031 899.05115 \r\nL 429.806739 890.410071 \r\nL 437.423446 881.448429 \r\nL 445.040154 872.154506 \r\nL 452.656862 862.516159 \r\nL 460.273569 852.5208 \r\nL 467.890277 842.155384 \r\nL 475.506985 831.406386 \r\nL 483.123692 820.25979 \r\nL 490.7404 808.70107 \r\nL 498.357107 796.715165 \r\nL 505.973815 784.28647 \r\nL 513.082742 772.272595 \r\nL 520.191669 759.845296 \r\nL 527.300596 746.990494 \r\nL 534.409523 733.693629 \r\nL 541.518451 719.939649 \r\nL 548.627378 705.712985 \r\nL 555.736305 690.997543 \r\nL 562.845232 675.776679 \r\nL 569.954159 660.033183 \r\nL 577.063086 643.749259 \r\nL 579.601989 637.799117 \r\nL 579.601989 637.799117 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_9\">\r\n    <path d=\"M 46.965625 1109.518125 \r\nL 46.965625 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_10\">\r\n    <path d=\"M 604.965625 1109.518125 \r\nL 604.965625 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_11\">\r\n    <path d=\"M 46.965625 1109.518125 \r\nL 604.965625 1109.518125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_12\">\r\n    <path d=\"M 46.965625 615.336307 \r\nL 604.965625 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"text_43\">\r\n    <!-- semi-gradient DP -->\r\n    <defs>\r\n     <path d=\"M 19.671875 64.796875 \r\nL 19.671875 37.40625 \r\nL 32.078125 37.40625 \r\nQ 38.96875 37.40625 42.71875 40.96875 \r\nQ 46.484375 44.53125 46.484375 51.125 \r\nQ 46.484375 57.671875 42.71875 61.234375 \r\nQ 38.96875 64.796875 32.078125 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.34375 72.90625 50.609375 67.359375 \r\nQ 56.890625 61.8125 56.890625 51.125 \r\nQ 56.890625 40.328125 50.609375 34.8125 \r\nQ 44.34375 29.296875 32.078125 29.296875 \r\nL 19.671875 29.296875 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n    </defs>\r\n    <g transform=\"translate(274.0525 609.336307)scale(0.12 -0.12)\">\r\n     <use xlink:href=\"#DejaVuSans-73\"/>\r\n     <use x=\"52.099609\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"113.623047\" xlink:href=\"#DejaVuSans-6d\"/>\r\n     <use x=\"211.035156\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"238.818359\" xlink:href=\"#DejaVuSans-2d\"/>\r\n     <use x=\"274.902344\" xlink:href=\"#DejaVuSans-67\"/>\r\n     <use x=\"338.378906\" xlink:href=\"#DejaVuSans-72\"/>\r\n     <use x=\"379.492188\" xlink:href=\"#DejaVuSans-61\"/>\r\n     <use x=\"440.771484\" xlink:href=\"#DejaVuSans-64\"/>\r\n     <use x=\"504.248047\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"532.03125\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"593.554688\" xlink:href=\"#DejaVuSans-6e\"/>\r\n     <use x=\"656.933594\" xlink:href=\"#DejaVuSans-74\"/>\r\n     <use x=\"696.142578\" xlink:href=\"#DejaVuSans-20\"/>\r\n     <use x=\"727.929688\" xlink:href=\"#DejaVuSans-44\"/>\r\n     <use x=\"804.931641\" xlink:href=\"#DejaVuSans-50\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"legend_2\">\r\n    <g id=\"patch_13\">\r\n     <path d=\"M 53.965625 740.761307 \r\nL 118.7875 740.761307 \r\nQ 120.7875 740.761307 120.7875 738.761307 \r\nL 120.7875 622.336307 \r\nQ 120.7875 620.336307 118.7875 620.336307 \r\nL 53.965625 620.336307 \r\nQ 51.965625 620.336307 51.965625 622.336307 \r\nL 51.965625 738.761307 \r\nQ 51.965625 740.761307 53.965625 740.761307 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_62\">\r\n     <path d=\"M 55.965625 628.434744 \r\nL 75.965625 628.434744 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_63\"/>\r\n    <g id=\"text_44\">\r\n     <!-- theta1 -->\r\n     <g transform=\"translate(83.965625 631.934744)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-31\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_64\">\r\n     <path d=\"M 55.965625 643.112869 \r\nL 75.965625 643.112869 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_65\"/>\r\n    <g id=\"text_45\">\r\n     <!-- theta2 -->\r\n     <g transform=\"translate(83.965625 646.612869)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-32\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_66\">\r\n     <path d=\"M 55.965625 657.790994 \r\nL 75.965625 657.790994 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_67\"/>\r\n    <g id=\"text_46\">\r\n     <!-- theta3 -->\r\n     <g transform=\"translate(83.965625 661.290994)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-33\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_68\">\r\n     <path d=\"M 55.965625 672.469119 \r\nL 75.965625 672.469119 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_69\"/>\r\n    <g id=\"text_47\">\r\n     <!-- theta4 -->\r\n     <g transform=\"translate(83.965625 675.969119)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-34\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_70\">\r\n     <path d=\"M 55.965625 687.147244 \r\nL 75.965625 687.147244 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_71\"/>\r\n    <g id=\"text_48\">\r\n     <!-- theta5 -->\r\n     <g transform=\"translate(83.965625 690.647244)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-35\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_72\">\r\n     <path d=\"M 55.965625 701.825369 \r\nL 75.965625 701.825369 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_73\"/>\r\n    <g id=\"text_49\">\r\n     <!-- theta6 -->\r\n     <g transform=\"translate(83.965625 705.325369)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-36\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_74\">\r\n     <path d=\"M 55.965625 716.503494 \r\nL 75.965625 716.503494 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_75\"/>\r\n    <g id=\"text_50\">\r\n     <!-- theta7 -->\r\n     <g transform=\"translate(83.965625 720.003494)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-37\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_76\">\r\n     <path d=\"M 55.965625 731.181619 \r\nL 75.965625 731.181619 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_77\"/>\r\n    <g id=\"text_51\">\r\n     <!-- theta8 -->\r\n     <g transform=\"translate(83.965625 734.681619)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-38\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p68be62cf3f\">\r\n   <rect height=\"494.181818\" width=\"558\" x=\"46.965625\" y=\"22.318125\"/>\r\n  </clipPath>\r\n  <clipPath id=\"p0f639a3fc8\">\r\n   <rect height=\"494.181818\" width=\"558\" x=\"46.965625\" y=\"615.336307\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "text/plain": "<Figure size 720x1440 with 2 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_11_2()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure 11.6(left), temporal difference with gradient correction\n",
    "def figure_11_5_left():\n",
    "    # Initialize the theta\n",
    "    theta = np.ones(FEATURE_SIZE)\n",
    "    theta[6] = 10\n",
    "    weight = np.zeros(FEATURE_SIZE)\n",
    "\n",
    "    alpha = 0.005\n",
    "    beta = 0.05\n",
    "\n",
    "    steps = 1000\n",
    "    thetas = np.zeros((FEATURE_SIZE, steps))\n",
    "    RMSVE = np.zeros(steps)\n",
    "    RMSPBE = np.zeros(steps)\n",
    "    state = np.random.choice(STATES)\n",
    "    for step in tqdm(range(steps)):\n",
    "        state = TDC(state, theta, weight, alpha, beta)\n",
    "        thetas[:, step] = theta\n",
    "        RMSVE[step] = compute_RMSVE(theta)\n",
    "        RMSPBE[step] = compute_RMSPBE(theta)\n",
    "\n",
    "    for i in range(FEATURE_SIZE):\n",
    "        plt.plot(thetas[i, :], label='theta' + str(i + 1))\n",
    "    plt.plot(RMSVE, label='RMSVE')\n",
    "    plt.plot(RMSPBE, label='RMSPBE')\n",
    "    plt.xlabel('Steps')\n",
    "    plt.title('TDC')\n",
    "    plt.legend()\n",
    "\n",
    "# Figure 11.6(right), expected temporal difference with gradient correction\n",
    "def figure_11_5_right():\n",
    "    # Initialize the theta\n",
    "    theta = np.ones(FEATURE_SIZE)\n",
    "    theta[6] = 10\n",
    "    weight = np.zeros(FEATURE_SIZE)\n",
    "\n",
    "    alpha = 0.005\n",
    "    beta = 0.05\n",
    "\n",
    "    sweeps = 1000\n",
    "    thetas = np.zeros((FEATURE_SIZE, sweeps))\n",
    "    RMSVE = np.zeros(sweeps)\n",
    "    RMSPBE = np.zeros(sweeps)\n",
    "    for sweep in tqdm(range(sweeps)):\n",
    "        expected_TDC(theta, weight, alpha, beta)\n",
    "        thetas[:, sweep] = theta\n",
    "        RMSVE[sweep] = compute_RMSVE(theta)\n",
    "        RMSPBE[sweep] = compute_RMSPBE(theta)\n",
    "\n",
    "    for i in range(FEATURE_SIZE):\n",
    "        plt.plot(thetas[i, :], label='theta' + str(i + 1))\n",
    "    plt.plot(RMSVE, label='RMSVE')\n",
    "    plt.plot(RMSPBE, label='RMSPBE')\n",
    "    plt.xlabel('Sweeps')\n",
    "    plt.title('Expected TDC')\n",
    "    plt.legend()\n",
    "\n",
    "def figure_11_5():\n",
    "    plt.figure(figsize=(10, 20))\n",
    "    plt.subplot(2, 1, 1)\n",
    "    figure_11_5_left()\n",
    "    plt.subplot(2, 1, 2)\n",
    "    figure_11_5_right()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": "100%|██████████| 1000/1000 [00:00<00:00, 12533.78it/s]\n100%|██████████| 1000/1000 [00:00<00:00, 6076.60it/s]\n"
    },
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n<svg height=\"1147.074375pt\" version=\"1.1\" viewBox=\"0 0 597.642187 1147.074375\" width=\"597.642187pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 1147.074375 \r\nL 597.642187 1147.074375 \r\nL 597.642187 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 28.942188 516.499943 \r\nL 586.942188 516.499943 \r\nL 586.942188 22.318125 \r\nL 28.942188 22.318125 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"mc8ad836601\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.305824\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-30\"/>\r\n      </defs>\r\n      <g transform=\"translate(51.124574 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"155.861925\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 200 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-32\"/>\r\n      </defs>\r\n      <g transform=\"translate(146.318175 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"257.418027\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 400 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-34\"/>\r\n      </defs>\r\n      <g transform=\"translate(247.874277 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"358.974129\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 600 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-36\"/>\r\n      </defs>\r\n      <g transform=\"translate(349.430379 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"460.53023\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 800 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-38\"/>\r\n      </defs>\r\n      <g transform=\"translate(450.98648 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"562.086332\" xlink:href=\"#mc8ad836601\" y=\"516.499943\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 1000 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-31\"/>\r\n      </defs>\r\n      <g transform=\"translate(549.361332 531.098381)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_7\">\r\n     <!-- Steps -->\r\n     <defs>\r\n      <path d=\"M 53.515625 70.515625 \r\nL 53.515625 60.890625 \r\nQ 47.90625 63.578125 42.921875 64.890625 \r\nQ 37.9375 66.21875 33.296875 66.21875 \r\nQ 25.25 66.21875 20.875 63.09375 \r\nQ 16.5 59.96875 16.5 54.203125 \r\nQ 16.5 49.359375 19.40625 46.890625 \r\nQ 22.3125 44.4375 30.421875 42.921875 \r\nL 36.375 41.703125 \r\nQ 47.40625 39.59375 52.65625 34.296875 \r\nQ 57.90625 29 57.90625 20.125 \r\nQ 57.90625 9.515625 50.796875 4.046875 \r\nQ 43.703125 -1.421875 29.984375 -1.421875 \r\nQ 24.8125 -1.421875 18.96875 -0.25 \r\nQ 13.140625 0.921875 6.890625 3.21875 \r\nL 6.890625 13.375 \r\nQ 12.890625 10.015625 18.65625 8.296875 \r\nQ 24.421875 6.59375 29.984375 6.59375 \r\nQ 38.421875 6.59375 43.015625 9.90625 \r\nQ 47.609375 13.234375 47.609375 19.390625 \r\nQ 47.609375 24.75 44.3125 27.78125 \r\nQ 41.015625 30.8125 33.5 32.328125 \r\nL 27.484375 33.5 \r\nQ 16.453125 35.6875 11.515625 40.375 \r\nQ 6.59375 45.0625 6.59375 53.421875 \r\nQ 6.59375 63.09375 13.40625 68.65625 \r\nQ 20.21875 74.21875 32.171875 74.21875 \r\nQ 37.3125 74.21875 42.625 73.28125 \r\nQ 47.953125 72.359375 53.515625 70.515625 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-74\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-65\"/>\r\n      <path d=\"M 18.109375 8.203125 \r\nL 18.109375 -20.796875 \r\nL 9.078125 -20.796875 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.390625 \r\nQ 20.953125 51.265625 25.265625 53.625 \r\nQ 29.59375 56 35.59375 56 \r\nQ 45.5625 56 51.78125 48.09375 \r\nQ 58.015625 40.1875 58.015625 27.296875 \r\nQ 58.015625 14.40625 51.78125 6.484375 \r\nQ 45.5625 -1.421875 35.59375 -1.421875 \r\nQ 29.59375 -1.421875 25.265625 0.953125 \r\nQ 20.953125 3.328125 18.109375 8.203125 \r\nz\r\nM 48.6875 27.296875 \r\nQ 48.6875 37.203125 44.609375 42.84375 \r\nQ 40.53125 48.484375 33.40625 48.484375 \r\nQ 26.265625 48.484375 22.1875 42.84375 \r\nQ 18.109375 37.203125 18.109375 27.296875 \r\nQ 18.109375 17.390625 22.1875 11.75 \r\nQ 26.265625 6.109375 33.40625 6.109375 \r\nQ 40.53125 6.109375 44.609375 11.75 \r\nQ 48.6875 17.390625 48.6875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-70\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-73\"/>\r\n     </defs>\r\n     <g transform=\"translate(293.952344 544.776506)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"102.685547\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.208984\" xlink:href=\"#DejaVuSans-70\"/>\r\n      <use x=\"227.685547\" xlink:href=\"#DejaVuSans-73\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m259e61e12e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"475.817597\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- −2 -->\r\n      <defs>\r\n       <path d=\"M 10.59375 35.5 \r\nL 73.1875 35.5 \r\nL 73.1875 27.203125 \r\nL 10.59375 27.203125 \r\nz\r\n\" id=\"DejaVuSans-2212\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 479.616816)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"403.978153\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(15.579688 407.777372)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"332.13871\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 2 -->\r\n      <g transform=\"translate(15.579688 335.937928)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"260.299266\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(15.579688 264.098485)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"188.459822\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(15.579688 192.259041)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"116.620379\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 8 -->\r\n      <g transform=\"translate(15.579688 120.419597)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"44.780935\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(9.217188 48.580154)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_14\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 81.218191 368.058431 \r\nL 81.725971 349.74071 \r\nL 92.897142 349.74071 \r\nL 93.404923 339.318942 \r\nL 102.037192 339.318942 \r\nL 102.544972 334.190282 \r\nL 117.778387 334.190282 \r\nL 118.286168 330.53792 \r\nL 140.12073 330.53792 \r\nL 140.62851 328.708307 \r\nL 155.354145 328.708307 \r\nL 155.861925 328.215469 \r\nL 177.188707 328.215469 \r\nL 177.696487 328.418414 \r\nL 184.805414 328.418414 \r\nL 185.313195 328.225325 \r\nL 198.007708 328.225325 \r\nL 198.515488 328.752905 \r\nL 204.608854 328.752905 \r\nL 205.116635 328.909514 \r\nL 238.122368 328.909514 \r\nL 238.630148 329.060168 \r\nL 255.386905 329.120499 \r\nL 255.894685 328.916653 \r\nL 302.102712 328.916653 \r\nL 302.610492 328.535809 \r\nL 320.89059 328.535809 \r\nL 321.398371 328.394588 \r\nL 328.507298 328.394588 \r\nL 329.015079 328.13739 \r\nL 344.756274 328.13739 \r\nL 345.264055 327.878278 \r\nL 354.911884 327.878278 \r\nL 355.419665 327.683888 \r\nL 374.207544 327.683888 \r\nL 374.715324 327.454829 \r\nL 532.127282 327.359692 \r\nL 535.173965 327.338498 \r\nL 561.578551 327.306971 \r\nL 561.578551 327.306971 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_15\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 97.974948 368.058431 \r\nL 98.482728 358.15266 \r\nL 172.110902 358.15266 \r\nL 172.618682 352.724758 \r\nL 188.867658 352.724758 \r\nL 189.375439 349.243243 \r\nL 195.976586 349.243243 \r\nL 196.484366 346.671332 \r\nL 211.717781 346.671332 \r\nL 212.225562 344.021861 \r\nL 218.826708 344.021861 \r\nL 219.334489 341.972544 \r\nL 232.029002 341.972544 \r\nL 232.536782 339.96326 \r\nL 262.495832 339.96326 \r\nL 263.003613 338.250314 \r\nL 314.797224 338.250314 \r\nL 315.305005 336.568418 \r\nL 342.725152 336.568418 \r\nL 343.232933 335.059051 \r\nL 386.394276 335.059051 \r\nL 386.902056 333.797887 \r\nL 387.409837 333.797887 \r\nL 387.917617 332.819112 \r\nL 401.627691 332.819112 \r\nL 402.135472 332.010443 \r\nL 402.643252 332.010443 \r\nL 403.151033 331.376788 \r\nL 447.835717 331.376788 \r\nL 448.343498 330.796047 \r\nL 498.105988 330.796047 \r\nL 498.613768 330.26552 \r\nL 501.660451 330.26552 \r\nL 502.168232 329.832945 \r\nL 561.578551 329.832945 \r\nL 561.578551 329.832945 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_16\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 58.368068 368.058431 \r\nL 58.875848 344.964892 \r\nL 68.015898 344.964892 \r\nL 68.523678 327.83501 \r\nL 87.311557 327.83501 \r\nL 87.819337 318.460191 \r\nL 91.373801 318.460191 \r\nL 91.881581 313.424863 \r\nL 145.706315 313.424863 \r\nL 146.214096 314.064939 \r\nL 167.033097 314.064939 \r\nL 167.540877 315.030227 \r\nL 170.07978 315.030227 \r\nL 170.58756 315.503205 \r\nL 181.758731 315.503205 \r\nL 182.266512 317.403624 \r\nL 221.365611 317.403624 \r\nL 221.873391 318.98136 \r\nL 276.713686 318.98136 \r\nL 277.221467 320.260024 \r\nL 280.26815 320.260024 \r\nL 280.77593 321.229468 \r\nL 326.476176 321.229468 \r\nL 326.983957 322.111836 \r\nL 334.600664 322.111836 \r\nL 335.108445 322.752479 \r\nL 337.647347 322.752479 \r\nL 338.155128 323.253622 \r\nL 353.896323 323.253622 \r\nL 354.404104 323.716413 \r\nL 367.098617 323.716413 \r\nL 367.606397 324.106483 \r\nL 372.684202 324.106483 \r\nL 373.191983 324.387608 \r\nL 382.332032 324.387608 \r\nL 382.839812 324.676342 \r\nL 394.518764 324.676342 \r\nL 395.026545 325.054796 \r\nL 398.073228 325.054796 \r\nL 398.581008 325.37908 \r\nL 427.016717 325.37908 \r\nL 427.524497 325.681031 \r\nL 484.395914 325.681031 \r\nL 484.903694 325.871864 \r\nL 529.080599 325.871864 \r\nL 529.588379 326.075219 \r\nL 536.189526 326.075219 \r\nL 536.697306 326.231661 \r\nL 561.578551 326.231661 \r\nL 561.578551 326.231661 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_17\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 76.648166 368.058431 \r\nL 77.155947 350.200444 \r\nL 84.264874 350.200444 \r\nL 84.772654 334.864479 \r\nL 85.788215 334.864479 \r\nL 86.295996 324.959322 \r\nL 101.021631 324.959322 \r\nL 101.529411 320.754996 \r\nL 216.287806 320.754996 \r\nL 216.795586 321.997659 \r\nL 252.848002 321.997659 \r\nL 253.355783 322.909573 \r\nL 256.910246 322.909573 \r\nL 257.418027 323.624095 \r\nL 292.454882 323.624095 \r\nL 292.962663 324.084533 \r\nL 316.828346 324.084533 \r\nL 317.336127 324.596865 \r\nL 327.491737 324.596865 \r\nL 327.999518 324.908009 \r\nL 335.616225 324.908009 \r\nL 336.124006 325.124023 \r\nL 365.067495 325.124023 \r\nL 365.575275 325.322716 \r\nL 432.602302 325.322716 \r\nL 433.110083 325.638207 \r\nL 453.929083 325.638207 \r\nL 454.436864 325.917819 \r\nL 469.162499 325.917819 \r\nL 469.670279 326.147259 \r\nL 476.779206 326.147259 \r\nL 477.286987 326.317992 \r\nL 487.442597 326.317992 \r\nL 487.950378 326.434345 \r\nL 561.578551 326.512327 \r\nL 561.578551 326.512327 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_18\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 56.336946 368.058431 \r\nL 56.844726 345.730732 \r\nL 71.570361 345.730732 \r\nL 72.078142 327.570683 \r\nL 123.363973 327.570683 \r\nL 123.871753 325.430079 \r\nL 128.949559 325.430079 \r\nL 129.457339 323.554262 \r\nL 135.042925 323.554262 \r\nL 135.550705 322.305715 \r\nL 138.089608 322.305715 \r\nL 138.597388 321.353552 \r\nL 161.955292 321.353552 \r\nL 162.463072 321.05421 \r\nL 213.748903 321.05421 \r\nL 214.256684 322.583921 \r\nL 239.137929 322.583921 \r\nL 239.645709 323.614604 \r\nL 249.293539 323.614604 \r\nL 249.801319 324.41593 \r\nL 286.869296 324.41593 \r\nL 287.377077 324.73862 \r\nL 300.57937 324.73862 \r\nL 301.087151 324.998848 \r\nL 323.429493 324.998848 \r\nL 323.937273 325.365255 \r\nL 358.974129 325.445246 \r\nL 359.481909 325.588269 \r\nL 412.798862 325.588269 \r\nL 413.306643 325.909486 \r\nL 424.477814 325.909486 \r\nL 424.985595 326.147012 \r\nL 481.349231 326.147012 \r\nL 481.857011 326.308435 \r\nL 510.8005 326.308435 \r\nL 511.308281 326.473809 \r\nL 513.847183 326.473809 \r\nL 514.354964 326.616638 \r\nL 561.578551 326.707852 \r\nL 561.578551 326.707852 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_19\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 78.679288 368.058431 \r\nL 79.187069 349.675455 \r\nL 93.912703 349.675455 \r\nL 94.420484 340.594703 \r\nL 111.685021 340.594703 \r\nL 112.192802 335.384275 \r\nL 113.716143 335.384275 \r\nL 114.223924 330.963589 \r\nL 130.4729 330.963589 \r\nL 130.980681 328.596276 \r\nL 139.105169 328.596276 \r\nL 139.612949 326.833951 \r\nL 178.712048 326.833951 \r\nL 179.219829 326.985896 \r\nL 209.178879 326.985896 \r\nL 209.686659 327.19214 \r\nL 243.707953 327.298705 \r\nL 244.215734 327.668225 \r\nL 246.754636 327.668225 \r\nL 247.262417 327.895593 \r\nL 307.688297 327.897381 \r\nL 308.196078 327.675244 \r\nL 381.316471 327.675244 \r\nL 381.824251 327.522885 \r\nL 561.578551 327.430388 \r\nL 561.578551 327.430388 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_20\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 44.780935 \r\nL 58.368068 44.780935 \r\nL 58.875848 48.649209 \r\nL 59.383629 61.839867 \r\nL 68.015898 61.839867 \r\nL 68.523678 69.711099 \r\nL 69.031459 60.215684 \r\nL 71.570361 60.215684 \r\nL 72.078142 79.832288 \r\nL 76.648166 79.832288 \r\nL 77.155947 80.256213 \r\nL 78.679288 80.256213 \r\nL 79.187069 83.625661 \r\nL 81.218191 83.625661 \r\nL 81.725971 89.000653 \r\nL 84.264874 89.000653 \r\nL 84.772654 107.450033 \r\nL 85.788215 107.450033 \r\nL 86.295996 106.897777 \r\nL 87.311557 106.897777 \r\nL 87.819337 123.113621 \r\nL 91.373801 123.113621 \r\nL 91.881581 119.072675 \r\nL 92.897142 119.072675 \r\nL 93.404923 127.253532 \r\nL 93.912703 127.253532 \r\nL 94.420484 137.229643 \r\nL 101.021631 137.26518 \r\nL 101.529411 143.222667 \r\nL 102.037192 143.222667 \r\nL 102.544972 144.543499 \r\nL 111.685021 144.543499 \r\nL 112.192802 145.700882 \r\nL 113.716143 145.700882 \r\nL 114.223924 149.346378 \r\nL 117.778387 149.346378 \r\nL 118.286168 152.786039 \r\nL 123.363973 152.786039 \r\nL 123.871753 153.606079 \r\nL 124.379534 152.972598 \r\nL 128.949559 152.972598 \r\nL 129.457339 154.655587 \r\nL 130.4729 154.655587 \r\nL 130.980681 155.443281 \r\nL 135.042925 155.443281 \r\nL 135.550705 155.94041 \r\nL 136.058486 156.239466 \r\nL 138.089608 156.239466 \r\nL 138.597388 156.739103 \r\nL 139.105169 156.739103 \r\nL 139.612949 158.022351 \r\nL 140.12073 158.022351 \r\nL 140.62851 158.683935 \r\nL 145.706315 158.683935 \r\nL 146.214096 163.453006 \r\nL 155.354145 163.453006 \r\nL 155.861925 162.761652 \r\nL 156.369706 159.485617 \r\nL 161.955292 159.485617 \r\nL 162.463072 160.718024 \r\nL 167.033097 160.718024 \r\nL 167.540877 158.828052 \r\nL 170.07978 158.828052 \r\nL 170.58756 159.40935 \r\nL 172.110902 159.40935 \r\nL 172.618682 167.282556 \r\nL 177.188707 167.282556 \r\nL 177.696487 168.53555 \r\nL 178.204268 166.06525 \r\nL 178.712048 166.06525 \r\nL 179.219829 166.825339 \r\nL 181.758731 166.825339 \r\nL 182.266512 165.127692 \r\nL 184.805414 165.127692 \r\nL 185.313195 165.714064 \r\nL 188.867658 165.714064 \r\nL 189.375439 165.567512 \r\nL 189.883219 168.33686 \r\nL 195.976586 168.33686 \r\nL 196.484366 169.524268 \r\nL 198.007708 169.524268 \r\nL 198.515488 167.997842 \r\nL 204.608854 167.997842 \r\nL 205.116635 168.685645 \r\nL 205.624415 167.014224 \r\nL 209.178879 167.014224 \r\nL 209.686659 166.496894 \r\nL 211.717781 166.496894 \r\nL 212.225562 169.324709 \r\nL 212.733342 169.807606 \r\nL 213.748903 169.807606 \r\nL 214.256684 167.960598 \r\nL 216.287806 167.960598 \r\nL 216.795586 166.80075 \r\nL 217.303367 167.586547 \r\nL 218.826708 167.586547 \r\nL 219.334489 167.445095 \r\nL 221.365611 167.445095 \r\nL 221.873391 166.695 \r\nL 231.013441 166.695 \r\nL 231.521221 166.451672 \r\nL 232.029002 166.451672 \r\nL 232.536782 168.388874 \r\nL 239.137929 168.336954 \r\nL 239.645709 168.160465 \r\nL 243.707953 168.160465 \r\nL 244.215734 167.796013 \r\nL 244.723514 167.796013 \r\nL 245.231295 167.651193 \r\nL 249.293539 167.644669 \r\nL 249.801319 166.950872 \r\nL 252.848002 166.950872 \r\nL 253.355783 166.370882 \r\nL 253.863563 166.225249 \r\nL 255.386905 166.225249 \r\nL 255.894685 166.495611 \r\nL 256.910246 166.495611 \r\nL 257.418027 166.183457 \r\nL 262.495832 166.183457 \r\nL 263.003613 166.590309 \r\nL 268.589198 166.590309 \r\nL 269.096979 166.729884 \r\nL 276.713686 166.729884 \r\nL 277.221467 165.886953 \r\nL 280.26815 165.886953 \r\nL 280.77593 165.411508 \r\nL 292.454882 165.488133 \r\nL 292.962663 165.197724 \r\nL 300.57937 165.197724 \r\nL 301.087151 164.882598 \r\nL 302.102712 164.882598 \r\nL 302.610492 165.023383 \r\nL 314.797224 165.010163 \r\nL 315.305005 166.275825 \r\nL 315.812785 166.417483 \r\nL 317.843907 166.079224 \r\nL 326.476176 166.045214 \r\nL 326.983957 165.415417 \r\nL 327.491737 165.415417 \r\nL 327.999518 165.1862 \r\nL 328.507298 165.1862 \r\nL 329.015079 165.317329 \r\nL 334.600664 165.317329 \r\nL 335.108445 165.05031 \r\nL 335.616225 165.05031 \r\nL 336.124006 164.933824 \r\nL 337.647347 164.933824 \r\nL 338.155128 164.582476 \r\nL 338.662908 164.582476 \r\nL 339.170689 164.46791 \r\nL 342.725152 164.46791 \r\nL 343.232933 165.057168 \r\nL 344.756274 165.057168 \r\nL 345.264055 165.285076 \r\nL 353.896323 165.285076 \r\nL 354.404104 165.161092 \r\nL 367.098617 165.145333 \r\nL 367.606397 164.81742 \r\nL 374.715324 164.864136 \r\nL 375.223105 165.129074 \r\nL 382.332032 165.061514 \r\nL 382.839812 164.742874 \r\nL 386.394276 164.742874 \r\nL 386.902056 165.464835 \r\nL 387.409837 165.464835 \r\nL 387.917617 166.015848 \r\nL 398.073228 165.947241 \r\nL 398.581008 165.67086 \r\nL 401.627691 165.67086 \r\nL 402.135472 166.10446 \r\nL 402.643252 166.10446 \r\nL 403.151033 166.47977 \r\nL 412.798862 166.47977 \r\nL 413.306643 166.177982 \r\nL 414.322204 166.163499 \r\nL 416.353326 166.163499 \r\nL 416.861106 166.376394 \r\nL 417.368887 166.194523 \r\nL 432.602302 166.124514 \r\nL 433.110083 165.893912 \r\nL 447.835717 165.844437 \r\nL 448.343498 166.20328 \r\nL 469.162499 166.114323 \r\nL 469.670279 165.947474 \r\nL 481.349231 165.873858 \r\nL 481.857011 165.673546 \r\nL 484.395914 165.673546 \r\nL 484.903694 165.490784 \r\nL 485.919255 165.490784 \r\nL 487.442597 165.727636 \r\nL 488.458158 165.556651 \r\nL 498.105988 165.61261 \r\nL 498.613768 165.815395 \r\nL 501.660451 165.815395 \r\nL 502.168232 166.122875 \r\nL 503.183793 166.026082 \r\nL 515.878305 165.952076 \r\nL 517.401647 165.900496 \r\nL 536.189526 165.803896 \r\nL 537.205087 165.72411 \r\nL 561.578551 165.755462 \r\nL 561.578551 165.755462 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_21\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 368.058431 \r\nL 56.336946 368.058431 \r\nL 56.844726 356.894582 \r\nL 58.368068 356.894582 \r\nL 58.875848 353.08436 \r\nL 59.383629 379.465676 \r\nL 68.015898 379.465676 \r\nL 68.523678 386.643199 \r\nL 69.031459 367.65237 \r\nL 71.570361 367.65237 \r\nL 72.078142 397.805552 \r\nL 76.648166 397.805552 \r\nL 77.155947 389.724409 \r\nL 78.679288 389.724409 \r\nL 79.187069 387.271817 \r\nL 81.218191 387.271817 \r\nL 81.725971 388.862939 \r\nL 84.264874 388.862939 \r\nL 84.772654 418.093717 \r\nL 85.788215 418.093717 \r\nL 86.295996 412.036628 \r\nL 87.311557 412.036628 \r\nL 87.819337 439.780906 \r\nL 91.373801 439.780906 \r\nL 91.881581 429.181349 \r\nL 92.897142 429.181349 \r\nL 93.404923 440.332179 \r\nL 93.912703 440.332179 \r\nL 94.420484 455.744026 \r\nL 97.974948 455.744026 \r\nL 98.482728 450.862214 \r\nL 101.021631 450.862214 \r\nL 101.529411 460.675025 \r\nL 111.685021 460.752358 \r\nL 112.192802 460.461911 \r\nL 113.716143 460.461911 \r\nL 114.223924 465.542559 \r\nL 117.778387 465.542559 \r\nL 118.286168 470.595701 \r\nL 123.363973 470.595701 \r\nL 123.871753 471.165479 \r\nL 124.379534 469.898516 \r\nL 128.949559 469.898516 \r\nL 129.457339 472.326586 \r\nL 130.4729 472.326586 \r\nL 130.980681 472.718317 \r\nL 135.042925 472.718317 \r\nL 135.550705 473.088302 \r\nL 136.058486 473.686414 \r\nL 138.089608 473.686414 \r\nL 138.597388 474.209606 \r\nL 139.105169 474.209606 \r\nL 139.612949 475.89494 \r\nL 140.12073 475.89494 \r\nL 140.62851 476.3033 \r\nL 145.706315 476.3033 \r\nL 146.214096 486.161481 \r\nL 155.354145 486.161481 \r\nL 155.861925 484.532355 \r\nL 156.369706 477.980285 \r\nL 161.955292 477.980285 \r\nL 162.463072 480.295427 \r\nL 167.033097 480.295427 \r\nL 167.540877 476.998126 \r\nL 170.07978 476.998126 \r\nL 170.58756 478.397212 \r\nL 172.110902 478.397212 \r\nL 172.618682 491.429673 \r\nL 177.188707 491.429673 \r\nL 177.696487 494.037133 \r\nL 178.204268 489.096534 \r\nL 178.712048 489.096534 \r\nL 179.219829 490.692685 \r\nL 181.758731 490.692685 \r\nL 182.266512 488.2476 \r\nL 184.805414 488.2476 \r\nL 185.313195 489.323799 \r\nL 188.867658 489.323799 \r\nL 189.375439 487.289938 \r\nL 189.883219 492.828634 \r\nL 195.976586 492.828634 \r\nL 196.484366 493.917495 \r\nL 198.007708 493.917495 \r\nL 198.515488 491.128432 \r\nL 204.608854 491.128432 \r\nL 205.116635 492.582343 \r\nL 205.624415 489.239501 \r\nL 209.178879 489.239501 \r\nL 209.686659 488.307963 \r\nL 211.717781 488.307963 \r\nL 212.225562 492.638858 \r\nL 212.733342 493.604651 \r\nL 213.748903 493.604651 \r\nL 214.256684 490.67549 \r\nL 216.287806 490.67549 \r\nL 216.795586 488.977126 \r\nL 217.303367 490.54872 \r\nL 218.826708 490.54872 \r\nL 219.334489 489.241159 \r\nL 221.365611 489.241159 \r\nL 221.873391 488.529835 \r\nL 231.013441 488.529835 \r\nL 231.521221 488.096462 \r\nL 232.029002 488.096462 \r\nL 232.536782 490.966224 \r\nL 239.137929 490.937712 \r\nL 239.645709 491.100074 \r\nL 243.707953 491.100074 \r\nL 244.215734 490.555931 \r\nL 244.723514 490.555931 \r\nL 245.231295 490.296457 \r\nL 249.293539 490.397092 \r\nL 249.801319 489.410161 \r\nL 252.848002 489.410161 \r\nL 253.355783 488.706138 \r\nL 253.863563 488.414872 \r\nL 255.386905 488.414872 \r\nL 255.894685 488.853673 \r\nL 256.910246 488.853673 \r\nL 257.418027 488.586627 \r\nL 268.589198 488.543857 \r\nL 269.096979 488.823902 \r\nL 276.713686 488.823902 \r\nL 277.221467 487.777371 \r\nL 280.26815 487.777371 \r\nL 280.77593 487.311204 \r\nL 286.869296 487.311204 \r\nL 287.377077 487.625799 \r\nL 292.454882 487.625799 \r\nL 292.962663 487.275201 \r\nL 300.57937 487.275201 \r\nL 301.087151 486.775061 \r\nL 314.797224 486.728701 \r\nL 315.305005 488.419078 \r\nL 315.812785 488.702392 \r\nL 316.320566 488.490254 \r\nL 316.828346 488.490254 \r\nL 317.336127 488.282041 \r\nL 326.476176 488.326614 \r\nL 326.983957 487.508205 \r\nL 327.491737 487.508205 \r\nL 327.999518 487.205343 \r\nL 328.507298 487.205343 \r\nL 329.015079 487.339002 \r\nL 334.600664 487.339002 \r\nL 335.108445 487.125286 \r\nL 335.616225 487.125286 \r\nL 336.124006 487.00032 \r\nL 337.647347 487.00032 \r\nL 338.155128 486.548196 \r\nL 338.662908 486.548196 \r\nL 339.170689 486.359059 \r\nL 342.725152 486.359059 \r\nL 343.232933 486.782891 \r\nL 344.756274 486.782891 \r\nL 345.264055 487.109151 \r\nL 367.098617 487.134723 \r\nL 367.606397 486.673932 \r\nL 374.207544 486.630568 \r\nL 374.715324 486.793398 \r\nL 375.223105 487.323274 \r\nL 381.316471 487.323274 \r\nL 381.824251 487.111974 \r\nL 382.332032 487.111974 \r\nL 382.839812 486.61906 \r\nL 386.394276 486.61906 \r\nL 386.902056 487.432402 \r\nL 387.409837 487.432402 \r\nL 387.917617 488.045039 \r\nL 398.073228 488.097053 \r\nL 398.581008 487.706433 \r\nL 401.627691 487.706433 \r\nL 402.135472 488.169299 \r\nL 402.643252 488.169299 \r\nL 403.151033 488.603091 \r\nL 412.798862 488.603091 \r\nL 413.306643 488.160123 \r\nL 413.814423 488.040012 \r\nL 414.829984 488.131156 \r\nL 416.353326 488.131156 \r\nL 416.861106 488.554986 \r\nL 417.368887 488.191245 \r\nL 424.477814 488.283315 \r\nL 425.493375 488.392237 \r\nL 426.001156 488.392237 \r\nL 426.508936 488.231188 \r\nL 432.602302 488.336568 \r\nL 433.110083 488.03311 \r\nL 443.265693 488.075347 \r\nL 443.773473 487.910137 \r\nL 447.835717 487.910137 \r\nL 448.343498 488.337452 \r\nL 469.162499 488.306963 \r\nL 469.670279 488.087985 \r\nL 481.349231 488.026121 \r\nL 481.857011 487.706208 \r\nL 484.395914 487.706208 \r\nL 484.903694 487.4361 \r\nL 485.919255 487.4361 \r\nL 486.934816 487.865784 \r\nL 487.442597 487.865784 \r\nL 487.950378 487.663822 \r\nL 488.965939 487.581991 \r\nL 498.105988 487.691135 \r\nL 498.613768 487.831441 \r\nL 501.660451 487.831441 \r\nL 502.168232 488.230114 \r\nL 502.676012 488.036527 \r\nL 503.691573 488.036527 \r\nL 504.199354 488.183229 \r\nL 513.847183 488.216858 \r\nL 514.354964 488.038555 \r\nL 529.080599 488.025743 \r\nL 529.588379 487.902444 \r\nL 561.578551 487.843262 \r\nL 561.578551 487.843262 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_22\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 212.941571 \r\nL 56.336946 212.941571 \r\nL 56.844726 195.922337 \r\nL 58.368068 195.922337 \r\nL 58.875848 188.252686 \r\nL 59.383629 222.577302 \r\nL 68.015898 222.577302 \r\nL 68.523678 228.884483 \r\nL 69.031459 204.289763 \r\nL 71.570361 204.289763 \r\nL 72.078142 240.115836 \r\nL 76.648166 240.115836 \r\nL 77.155947 227.996547 \r\nL 78.679288 227.996547 \r\nL 79.187069 223.000456 \r\nL 81.218191 223.000456 \r\nL 81.725971 223.272073 \r\nL 84.264874 223.272073 \r\nL 84.772654 259.123677 \r\nL 85.788215 259.123677 \r\nL 86.295996 249.311946 \r\nL 87.311557 249.311946 \r\nL 87.819337 282.916962 \r\nL 91.373801 282.916962 \r\nL 91.881581 268.073523 \r\nL 92.897142 268.073523 \r\nL 93.404923 280.882389 \r\nL 93.912703 280.882389 \r\nL 94.420484 299.154601 \r\nL 97.974948 299.154601 \r\nL 98.482728 292.698036 \r\nL 101.021631 292.698036 \r\nL 101.529411 304.062209 \r\nL 102.037192 304.062209 \r\nL 102.544972 303.291516 \r\nL 111.685021 303.291516 \r\nL 112.192802 302.087889 \r\nL 113.716143 302.087889 \r\nL 114.223924 307.589434 \r\nL 117.778387 307.589434 \r\nL 118.286168 313.115321 \r\nL 123.363973 313.115321 \r\nL 123.871753 313.318318 \r\nL 124.379534 311.766726 \r\nL 128.949559 311.766726 \r\nL 129.457339 314.277975 \r\nL 135.042925 314.257706 \r\nL 135.550705 314.390839 \r\nL 136.058486 315.115201 \r\nL 138.089608 315.115201 \r\nL 138.597388 315.499397 \r\nL 139.105169 315.499397 \r\nL 139.612949 317.134938 \r\nL 145.706315 317.239421 \r\nL 146.214096 329.053569 \r\nL 155.354145 329.053569 \r\nL 155.861925 327.05541 \r\nL 156.369706 319.337785 \r\nL 161.955292 319.337785 \r\nL 162.463072 322.005166 \r\nL 167.033097 322.005166 \r\nL 167.540877 318.386059 \r\nL 170.07978 318.386059 \r\nL 170.58756 320.204122 \r\nL 172.110902 320.204122 \r\nL 172.618682 335.303209 \r\nL 177.188707 335.303209 \r\nL 177.696487 338.296472 \r\nL 178.204268 332.676413 \r\nL 178.712048 332.676413 \r\nL 179.219829 334.546762 \r\nL 181.758731 334.546762 \r\nL 182.266512 332.351044 \r\nL 184.805414 332.351044 \r\nL 185.313195 333.554539 \r\nL 188.867658 333.554539 \r\nL 189.375439 331.003638 \r\nL 189.883219 337.423861 \r\nL 195.976586 337.423861 \r\nL 196.484366 338.492331 \r\nL 198.007708 338.492331 \r\nL 198.515488 335.411891 \r\nL 204.608854 335.411891 \r\nL 205.116635 337.125452 \r\nL 205.624415 333.250109 \r\nL 209.178879 333.250109 \r\nL 209.686659 332.208868 \r\nL 211.717781 332.208868 \r\nL 212.225562 336.999227 \r\nL 212.733342 338.109483 \r\nL 213.748903 338.109483 \r\nL 214.256684 335.166414 \r\nL 216.287806 335.166414 \r\nL 216.795586 333.536744 \r\nL 217.303367 335.383572 \r\nL 218.826708 335.383572 \r\nL 219.334489 333.611079 \r\nL 221.365611 333.611079 \r\nL 221.873391 333.269527 \r\nL 231.013441 333.269527 \r\nL 231.521221 332.780537 \r\nL 232.029002 332.780537 \r\nL 232.536782 335.908907 \r\nL 239.137929 335.910343 \r\nL 239.645709 336.392378 \r\nL 243.707953 336.392378 \r\nL 244.215734 335.841469 \r\nL 244.723514 335.841469 \r\nL 245.231295 335.548843 \r\nL 246.754636 335.548843 \r\nL 247.262417 335.723023 \r\nL 249.293539 335.723023 \r\nL 249.801319 334.772624 \r\nL 252.848002 334.772624 \r\nL 253.355783 334.194813 \r\nL 253.863563 333.846888 \r\nL 255.386905 333.846888 \r\nL 255.894685 334.323576 \r\nL 256.910246 334.323576 \r\nL 257.418027 334.204258 \r\nL 262.495832 334.204258 \r\nL 263.003613 333.896927 \r\nL 268.589198 333.896927 \r\nL 269.096979 334.232167 \r\nL 276.713686 334.232167 \r\nL 277.221467 333.371958 \r\nL 280.26815 333.371958 \r\nL 280.77593 333.100042 \r\nL 286.869296 333.100042 \r\nL 287.377077 333.566242 \r\nL 292.454882 333.566242 \r\nL 292.962663 333.269368 \r\nL 300.57937 333.269368 \r\nL 301.087151 332.733508 \r\nL 307.688297 332.754503 \r\nL 308.196078 332.534334 \r\nL 314.797224 332.534334 \r\nL 315.305005 334.297711 \r\nL 315.812785 334.638469 \r\nL 316.320566 334.383351 \r\nL 316.828346 334.383351 \r\nL 317.843907 334.271891 \r\nL 323.429493 334.355032 \r\nL 325.460615 334.389091 \r\nL 326.476176 334.389091 \r\nL 326.983957 333.659575 \r\nL 327.491737 333.659575 \r\nL 327.999518 333.376038 \r\nL 337.647347 333.306742 \r\nL 338.155128 332.898284 \r\nL 338.662908 332.898284 \r\nL 339.170689 332.688939 \r\nL 342.725152 332.688939 \r\nL 343.232933 332.935271 \r\nL 344.756274 332.935271 \r\nL 345.264055 333.269265 \r\nL 358.974129 333.253097 \r\nL 359.481909 333.445649 \r\nL 367.098617 333.471765 \r\nL 367.606397 333.018239 \r\nL 374.207544 333.041878 \r\nL 374.715324 333.184064 \r\nL 375.223105 333.828909 \r\nL 381.316471 333.828909 \r\nL 381.824251 333.534469 \r\nL 382.332032 333.534469 \r\nL 382.839812 333.01221 \r\nL 386.394276 333.01221 \r\nL 386.902056 333.762449 \r\nL 387.409837 333.762449 \r\nL 387.917617 334.311137 \r\nL 394.518764 334.311137 \r\nL 395.026545 334.475836 \r\nL 398.073228 334.475836 \r\nL 398.581008 334.08788 \r\nL 401.627691 334.08788 \r\nL 402.135472 334.482528 \r\nL 402.643252 334.482528 \r\nL 403.151033 334.873247 \r\nL 412.798862 334.873247 \r\nL 413.306643 334.420719 \r\nL 413.814423 334.275071 \r\nL 414.829984 334.385599 \r\nL 416.353326 334.385599 \r\nL 416.861106 334.898152 \r\nL 417.368887 334.45748 \r\nL 420.92335 334.45748 \r\nL 421.431131 334.572013 \r\nL 424.477814 334.572013 \r\nL 424.985595 334.765611 \r\nL 426.001156 334.765611 \r\nL 426.508936 334.575166 \r\nL 427.016717 334.575166 \r\nL 427.524497 334.782544 \r\nL 432.602302 334.782544 \r\nL 433.110083 334.497612 \r\nL 443.265693 334.541117 \r\nL 443.773473 334.336367 \r\nL 447.835717 334.336367 \r\nL 448.343498 334.728532 \r\nL 469.162499 334.768502 \r\nL 469.670279 334.562268 \r\nL 481.349231 334.531153 \r\nL 481.857011 334.183826 \r\nL 484.395914 334.183826 \r\nL 484.903694 333.904879 \r\nL 485.919255 333.904879 \r\nL 487.442597 334.40597 \r\nL 488.458158 334.090514 \r\nL 496.582646 334.161663 \r\nL 497.598207 334.22263 \r\nL 501.660451 334.275318 \r\nL 502.168232 334.661724 \r\nL 502.676012 334.426675 \r\nL 503.691573 334.426675 \r\nL 504.199354 334.602797 \r\nL 515.878305 334.505968 \r\nL 516.386086 334.378533 \r\nL 527.049477 334.42893 \r\nL 528.065038 334.512997 \r\nL 532.635062 334.420055 \r\nL 534.158404 334.380584 \r\nL 561.578551 334.371318 \r\nL 561.578551 334.371318 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_23\">\r\n    <path clip-path=\"url(#pead93c1800)\" d=\"M 54.305824 108.667479 \r\nL 56.336946 108.667479 \r\nL 56.844726 105.031218 \r\nL 58.368068 105.031218 \r\nL 58.875848 111.969693 \r\nL 59.383629 147.901623 \r\nL 68.015898 147.901623 \r\nL 68.523678 165.919603 \r\nL 69.031459 140.15876 \r\nL 71.570361 140.15876 \r\nL 72.078142 189.776287 \r\nL 76.648166 189.776287 \r\nL 77.155947 188.6476 \r\nL 78.679288 188.6476 \r\nL 79.187069 195.543293 \r\nL 81.218191 195.543293 \r\nL 81.725971 208.061128 \r\nL 84.264874 208.061128 \r\nL 84.772654 255.553484 \r\nL 85.788215 255.553484 \r\nL 86.295996 252.199121 \r\nL 87.311557 252.199121 \r\nL 87.819337 293.170944 \r\nL 91.373801 293.170944 \r\nL 91.881581 281.315357 \r\nL 92.897142 281.315357 \r\nL 93.404923 301.529553 \r\nL 93.912703 301.529553 \r\nL 94.420484 326.196537 \r\nL 97.974948 326.196537 \r\nL 98.482728 327.023732 \r\nL 101.021631 327.023732 \r\nL 101.529411 341.107213 \r\nL 102.037192 341.107213 \r\nL 102.544972 343.865479 \r\nL 111.685021 343.865479 \r\nL 112.192802 346.317163 \r\nL 113.716143 346.317163 \r\nL 114.223924 354.545851 \r\nL 117.778387 354.545851 \r\nL 118.286168 361.931397 \r\nL 123.363973 361.931397 \r\nL 123.871753 363.332395 \r\nL 124.379534 361.984846 \r\nL 128.949559 361.984846 \r\nL 129.457339 365.151234 \r\nL 130.4729 365.151234 \r\nL 130.980681 366.483771 \r\nL 135.042925 366.483771 \r\nL 136.058486 367.766884 \r\nL 138.089608 367.766884 \r\nL 138.597388 368.491447 \r\nL 139.105169 368.491447 \r\nL 139.612949 370.544822 \r\nL 140.12073 370.544822 \r\nL 140.62851 371.505295 \r\nL 145.706315 371.505295 \r\nL 146.214096 377.145432 \r\nL 155.354145 377.145432 \r\nL 155.861925 376.65777 \r\nL 156.369706 372.912724 \r\nL 161.955292 372.912724 \r\nL 162.463072 374.523589 \r\nL 167.033097 374.523589 \r\nL 167.540877 372.167009 \r\nL 170.07978 372.167009 \r\nL 170.58756 373.210002 \r\nL 172.110902 373.210002 \r\nL 172.618682 381.350027 \r\nL 177.188707 381.350027 \r\nL 177.696487 380.491844 \r\nL 178.204268 381.688266 \r\nL 178.712048 381.688266 \r\nL 179.219829 381.52815 \r\nL 181.758731 381.52815 \r\nL 182.266512 382.200941 \r\nL 188.867658 382.260438 \r\nL 189.375439 384.501958 \r\nL 189.883219 383.416713 \r\nL 195.976586 383.416713 \r\nL 196.484366 383.784224 \r\nL 198.007708 383.784224 \r\nL 198.515488 385.33547 \r\nL 204.608854 385.33547 \r\nL 205.116635 384.686833 \r\nL 205.624415 385.921456 \r\nL 209.178879 385.921456 \r\nL 209.686659 386.080494 \r\nL 211.717781 386.080494 \r\nL 212.225562 385.585469 \r\nL 212.733342 384.924481 \r\nL 213.748903 384.924481 \r\nL 214.256684 387.217275 \r\nL 216.287806 387.217275 \r\nL 216.795586 388.141661 \r\nL 217.303367 387.69983 \r\nL 218.826708 387.69983 \r\nL 219.334489 389.09047 \r\nL 221.365611 389.09047 \r\nL 221.873391 389.979277 \r\nL 239.137929 389.920495 \r\nL 239.645709 390.216413 \r\nL 243.707953 390.216413 \r\nL 244.215734 390.574237 \r\nL 244.723514 390.574237 \r\nL 245.231295 390.703026 \r\nL 249.293539 390.689425 \r\nL 249.801319 391.283341 \r\nL 252.848002 391.283341 \r\nL 253.355783 391.706345 \r\nL 255.386905 391.73979 \r\nL 256.910246 391.688525 \r\nL 257.418027 391.893325 \r\nL 262.495832 391.893325 \r\nL 263.003613 392.808483 \r\nL 276.713686 392.745569 \r\nL 277.221467 393.439116 \r\nL 280.26815 393.439116 \r\nL 280.77593 393.715285 \r\nL 314.797224 393.750665 \r\nL 315.305005 394.98133 \r\nL 316.320566 394.970638 \r\nL 316.828346 394.970638 \r\nL 317.336127 395.112703 \r\nL 326.476176 395.176425 \r\nL 326.983957 395.439141 \r\nL 334.600664 395.469737 \r\nL 335.616225 395.557909 \r\nL 337.139567 395.520295 \r\nL 337.647347 395.520295 \r\nL 338.155128 395.384982 \r\nL 342.725152 395.278808 \r\nL 343.232933 396.660753 \r\nL 344.756274 396.660753 \r\nL 345.264055 396.823099 \r\nL 358.974129 396.914715 \r\nL 360.49747 396.961864 \r\nL 367.098617 396.963658 \r\nL 367.606397 396.807757 \r\nL 374.207544 396.800459 \r\nL 375.730885 397.163178 \r\nL 382.332032 397.104792 \r\nL 382.839812 396.884573 \r\nL 386.394276 396.884573 \r\nL 386.902056 398.213062 \r\nL 387.409837 398.213062 \r\nL 387.917617 398.936407 \r\nL 398.073228 399.045909 \r\nL 399.596569 399.094743 \r\nL 401.627691 399.094743 \r\nL 402.135472 399.615422 \r\nL 402.643252 399.615422 \r\nL 403.151033 399.788136 \r\nL 412.798862 399.788136 \r\nL 413.306643 400.051045 \r\nL 415.337765 400.057459 \r\nL 416.353326 400.057459 \r\nL 416.861106 399.925517 \r\nL 417.368887 400.043552 \r\nL 427.016717 400.097334 \r\nL 428.032278 400.176656 \r\nL 432.602302 400.176656 \r\nL 433.110083 400.310615 \r\nL 447.835717 400.309638 \r\nL 448.343498 400.590504 \r\nL 453.929083 400.582388 \r\nL 454.436864 400.701956 \r\nL 469.162499 400.699055 \r\nL 470.17806 400.7952 \r\nL 498.105988 400.878093 \r\nL 498.613768 401.287735 \r\nL 501.660451 401.287735 \r\nL 502.168232 401.503955 \r\nL 503.691573 401.549855 \r\nL 505.722695 401.517119 \r\nL 526.541696 401.626096 \r\nL 533.142843 401.695389 \r\nL 561.578551 401.727176 \r\nL 561.578551 401.727176 \r\n\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 28.942188 516.499943 \r\nL 28.942188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 586.942188 516.499943 \r\nL 586.942188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 28.942187 516.499943 \r\nL 586.942188 516.499943 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 28.942187 22.318125 \r\nL 586.942188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"text_15\">\r\n    <!-- TDC -->\r\n    <defs>\r\n     <path d=\"M -0.296875 72.90625 \r\nL 61.375 72.90625 \r\nL 61.375 64.59375 \r\nL 35.5 64.59375 \r\nL 35.5 0 \r\nL 25.59375 0 \r\nL 25.59375 64.59375 \r\nL -0.296875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n     <path d=\"M 19.671875 64.796875 \r\nL 19.671875 8.109375 \r\nL 31.59375 8.109375 \r\nQ 46.6875 8.109375 53.6875 14.9375 \r\nQ 60.6875 21.78125 60.6875 36.53125 \r\nQ 60.6875 51.171875 53.6875 57.984375 \r\nQ 46.6875 64.796875 31.59375 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 30.078125 72.90625 \r\nQ 51.265625 72.90625 61.171875 64.09375 \r\nQ 71.09375 55.28125 71.09375 36.53125 \r\nQ 71.09375 17.671875 61.125 8.828125 \r\nQ 51.171875 0 30.078125 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-44\"/>\r\n     <path d=\"M 64.40625 67.28125 \r\nL 64.40625 56.890625 \r\nQ 59.421875 61.53125 53.78125 63.8125 \r\nQ 48.140625 66.109375 41.796875 66.109375 \r\nQ 29.296875 66.109375 22.65625 58.46875 \r\nQ 16.015625 50.828125 16.015625 36.375 \r\nQ 16.015625 21.96875 22.65625 14.328125 \r\nQ 29.296875 6.6875 41.796875 6.6875 \r\nQ 48.140625 6.6875 53.78125 8.984375 \r\nQ 59.421875 11.28125 64.40625 15.921875 \r\nL 64.40625 5.609375 \r\nQ 59.234375 2.09375 53.4375 0.328125 \r\nQ 47.65625 -1.421875 41.21875 -1.421875 \r\nQ 24.65625 -1.421875 15.125 8.703125 \r\nQ 5.609375 18.84375 5.609375 36.375 \r\nQ 5.609375 53.953125 15.125 64.078125 \r\nQ 24.65625 74.21875 41.21875 74.21875 \r\nQ 47.75 74.21875 53.53125 72.484375 \r\nQ 59.328125 70.75 64.40625 67.28125 \r\nz\r\n\" id=\"DejaVuSans-43\"/>\r\n    </defs>\r\n    <g transform=\"translate(295.467812 16.318125)scale(0.12 -0.12)\">\r\n     <use xlink:href=\"#DejaVuSans-54\"/>\r\n     <use x=\"61.083984\" xlink:href=\"#DejaVuSans-44\"/>\r\n     <use x=\"138.085938\" xlink:href=\"#DejaVuSans-43\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 506.807813 177.099375 \r\nL 579.942188 177.099375 \r\nQ 581.942188 177.099375 581.942188 175.099375 \r\nL 581.942188 29.318125 \r\nQ 581.942188 27.318125 579.942188 27.318125 \r\nL 506.807813 27.318125 \r\nQ 504.807813 27.318125 504.807813 29.318125 \r\nL 504.807813 175.099375 \r\nQ 504.807813 177.099375 506.807813 177.099375 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_24\">\r\n     <path d=\"M 508.807813 35.416563 \r\nL 528.807812 35.416563 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_25\"/>\r\n    <g id=\"text_16\">\r\n     <!-- theta1 -->\r\n     <defs>\r\n      <path d=\"M 54.890625 33.015625 \r\nL 54.890625 0 \r\nL 45.90625 0 \r\nL 45.90625 32.71875 \r\nQ 45.90625 40.484375 42.875 44.328125 \r\nQ 39.84375 48.1875 33.796875 48.1875 \r\nQ 26.515625 48.1875 22.3125 43.546875 \r\nQ 18.109375 38.921875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 75.984375 \r\nL 18.109375 75.984375 \r\nL 18.109375 46.1875 \r\nQ 21.34375 51.125 25.703125 53.5625 \r\nQ 30.078125 56 35.796875 56 \r\nQ 45.21875 56 50.046875 50.171875 \r\nQ 54.890625 44.34375 54.890625 33.015625 \r\nz\r\n\" id=\"DejaVuSans-68\"/>\r\n      <path d=\"M 34.28125 27.484375 \r\nQ 23.390625 27.484375 19.1875 25 \r\nQ 14.984375 22.515625 14.984375 16.5 \r\nQ 14.984375 11.71875 18.140625 8.90625 \r\nQ 21.296875 6.109375 26.703125 6.109375 \r\nQ 34.1875 6.109375 38.703125 11.40625 \r\nQ 43.21875 16.703125 43.21875 25.484375 \r\nL 43.21875 27.484375 \r\nz\r\nM 52.203125 31.203125 \r\nL 52.203125 0 \r\nL 43.21875 0 \r\nL 43.21875 8.296875 \r\nQ 40.140625 3.328125 35.546875 0.953125 \r\nQ 30.953125 -1.421875 24.3125 -1.421875 \r\nQ 15.921875 -1.421875 10.953125 3.296875 \r\nQ 6 8.015625 6 15.921875 \r\nQ 6 25.140625 12.171875 29.828125 \r\nQ 18.359375 34.515625 30.609375 34.515625 \r\nL 43.21875 34.515625 \r\nL 43.21875 35.40625 \r\nQ 43.21875 41.609375 39.140625 45 \r\nQ 35.0625 48.390625 27.6875 48.390625 \r\nQ 23 48.390625 18.546875 47.265625 \r\nQ 14.109375 46.140625 10.015625 43.890625 \r\nL 10.015625 52.203125 \r\nQ 14.9375 54.109375 19.578125 55.046875 \r\nQ 24.21875 56 28.609375 56 \r\nQ 40.484375 56 46.34375 49.84375 \r\nQ 52.203125 43.703125 52.203125 31.203125 \r\nz\r\n\" id=\"DejaVuSans-61\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 38.916563)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-31\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_26\">\r\n     <path d=\"M 508.807813 50.094688 \r\nL 528.807812 50.094688 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_27\"/>\r\n    <g id=\"text_17\">\r\n     <!-- theta2 -->\r\n     <g transform=\"translate(536.807812 53.594688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-32\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_28\">\r\n     <path d=\"M 508.807813 64.772813 \r\nL 528.807812 64.772813 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_29\"/>\r\n    <g id=\"text_18\">\r\n     <!-- theta3 -->\r\n     <defs>\r\n      <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-33\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 68.272813)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-33\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_30\">\r\n     <path d=\"M 508.807813 79.450938 \r\nL 528.807812 79.450938 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_31\"/>\r\n    <g id=\"text_19\">\r\n     <!-- theta4 -->\r\n     <g transform=\"translate(536.807812 82.950938)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-34\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_32\">\r\n     <path d=\"M 508.807813 94.129063 \r\nL 528.807812 94.129063 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_33\"/>\r\n    <g id=\"text_20\">\r\n     <!-- theta5 -->\r\n     <defs>\r\n      <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-35\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 97.629063)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-35\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_34\">\r\n     <path d=\"M 508.807813 108.807188 \r\nL 528.807812 108.807188 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_35\"/>\r\n    <g id=\"text_21\">\r\n     <!-- theta6 -->\r\n     <g transform=\"translate(536.807812 112.307188)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-36\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_36\">\r\n     <path d=\"M 508.807813 123.485313 \r\nL 528.807812 123.485313 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_37\"/>\r\n    <g id=\"text_22\">\r\n     <!-- theta7 -->\r\n     <defs>\r\n      <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-37\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 126.985313)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-37\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_38\">\r\n     <path d=\"M 508.807813 138.163438 \r\nL 528.807812 138.163438 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_39\"/>\r\n    <g id=\"text_23\">\r\n     <!-- theta8 -->\r\n     <g transform=\"translate(536.807812 141.663438)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-38\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_40\">\r\n     <path d=\"M 508.807813 152.841563 \r\nL 528.807812 152.841563 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_41\"/>\r\n    <g id=\"text_24\">\r\n     <!-- RMSVE -->\r\n     <defs>\r\n      <path d=\"M 44.390625 34.1875 \r\nQ 47.5625 33.109375 50.5625 29.59375 \r\nQ 53.5625 26.078125 56.59375 19.921875 \r\nL 66.609375 0 \r\nL 56 0 \r\nL 46.6875 18.703125 \r\nQ 43.0625 26.03125 39.671875 28.421875 \r\nQ 36.28125 30.8125 30.421875 30.8125 \r\nL 19.671875 30.8125 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nL 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.578125 72.90625 50.734375 67.671875 \r\nQ 56.890625 62.453125 56.890625 51.90625 \r\nQ 56.890625 45.015625 53.6875 40.46875 \r\nQ 50.484375 35.9375 44.390625 34.1875 \r\nz\r\nM 19.671875 64.796875 \r\nL 19.671875 38.921875 \r\nL 32.078125 38.921875 \r\nQ 39.203125 38.921875 42.84375 42.21875 \r\nQ 46.484375 45.515625 46.484375 51.90625 \r\nQ 46.484375 58.296875 42.84375 61.546875 \r\nQ 39.203125 64.796875 32.078125 64.796875 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      <path d=\"M 9.8125 72.90625 \r\nL 24.515625 72.90625 \r\nL 43.109375 23.296875 \r\nL 61.8125 72.90625 \r\nL 76.515625 72.90625 \r\nL 76.515625 0 \r\nL 66.890625 0 \r\nL 66.890625 64.015625 \r\nL 48.09375 14.015625 \r\nL 38.1875 14.015625 \r\nL 19.390625 64.015625 \r\nL 19.390625 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-4d\"/>\r\n      <path d=\"M 28.609375 0 \r\nL 0.78125 72.90625 \r\nL 11.078125 72.90625 \r\nL 34.1875 11.53125 \r\nL 57.328125 72.90625 \r\nL 67.578125 72.90625 \r\nL 39.796875 0 \r\nz\r\n\" id=\"DejaVuSans-56\"/>\r\n      <path d=\"M 9.8125 72.90625 \r\nL 55.90625 72.90625 \r\nL 55.90625 64.59375 \r\nL 19.671875 64.59375 \r\nL 19.671875 43.015625 \r\nL 54.390625 43.015625 \r\nL 54.390625 34.71875 \r\nL 19.671875 34.71875 \r\nL 19.671875 8.296875 \r\nL 56.78125 8.296875 \r\nL 56.78125 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-45\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 156.341563)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-52\"/>\r\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-4d\"/>\r\n      <use x=\"155.761719\" xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"219.238281\" xlink:href=\"#DejaVuSans-56\"/>\r\n      <use x=\"287.646484\" xlink:href=\"#DejaVuSans-45\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_42\">\r\n     <path d=\"M 508.807813 167.519688 \r\nL 528.807812 167.519688 \r\n\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_43\"/>\r\n    <g id=\"text_25\">\r\n     <!-- RMSPBE -->\r\n     <defs>\r\n      <path d=\"M 19.671875 64.796875 \r\nL 19.671875 37.40625 \r\nL 32.078125 37.40625 \r\nQ 38.96875 37.40625 42.71875 40.96875 \r\nQ 46.484375 44.53125 46.484375 51.125 \r\nQ 46.484375 57.671875 42.71875 61.234375 \r\nQ 38.96875 64.796875 32.078125 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.34375 72.90625 50.609375 67.359375 \r\nQ 56.890625 61.8125 56.890625 51.125 \r\nQ 56.890625 40.328125 50.609375 34.8125 \r\nQ 44.34375 29.296875 32.078125 29.296875 \r\nL 19.671875 29.296875 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      <path d=\"M 19.671875 34.8125 \r\nL 19.671875 8.109375 \r\nL 35.5 8.109375 \r\nQ 43.453125 8.109375 47.28125 11.40625 \r\nQ 51.125 14.703125 51.125 21.484375 \r\nQ 51.125 28.328125 47.28125 31.5625 \r\nQ 43.453125 34.8125 35.5 34.8125 \r\nz\r\nM 19.671875 64.796875 \r\nL 19.671875 42.828125 \r\nL 34.28125 42.828125 \r\nQ 41.5 42.828125 45.03125 45.53125 \r\nQ 48.578125 48.25 48.578125 53.8125 \r\nQ 48.578125 59.328125 45.03125 62.0625 \r\nQ 41.5 64.796875 34.28125 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 35.015625 72.90625 \r\nQ 46.296875 72.90625 52.390625 68.21875 \r\nQ 58.5 63.53125 58.5 54.890625 \r\nQ 58.5 48.1875 55.375 44.234375 \r\nQ 52.25 40.28125 46.1875 39.3125 \r\nQ 53.46875 37.75 57.5 32.78125 \r\nQ 61.53125 27.828125 61.53125 20.40625 \r\nQ 61.53125 10.640625 54.890625 5.3125 \r\nQ 48.25 0 35.984375 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-42\"/>\r\n     </defs>\r\n     <g transform=\"translate(536.807812 171.019688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-52\"/>\r\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-4d\"/>\r\n      <use x=\"155.761719\" xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"219.238281\" xlink:href=\"#DejaVuSans-50\"/>\r\n      <use x=\"279.541016\" xlink:href=\"#DejaVuSans-42\"/>\r\n      <use x=\"348.144531\" xlink:href=\"#DejaVuSans-45\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n  <g id=\"axes_2\">\r\n   <g id=\"patch_8\">\r\n    <path d=\"M 28.942188 1109.518125 \r\nL 586.942188 1109.518125 \r\nL 586.942188 615.336307 \r\nL 28.942188 615.336307 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_3\">\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_44\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.305824\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_26\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(51.124574 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_45\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"155.861925\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_27\">\r\n      <!-- 200 -->\r\n      <g transform=\"translate(146.318175 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_9\">\r\n     <g id=\"line2d_46\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"257.418027\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_28\">\r\n      <!-- 400 -->\r\n      <g transform=\"translate(247.874277 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_10\">\r\n     <g id=\"line2d_47\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"358.974129\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_29\">\r\n      <!-- 600 -->\r\n      <g transform=\"translate(349.430379 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_11\">\r\n     <g id=\"line2d_48\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"460.53023\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_30\">\r\n      <!-- 800 -->\r\n      <g transform=\"translate(450.98648 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_12\">\r\n     <g id=\"line2d_49\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"562.086332\" xlink:href=\"#mc8ad836601\" y=\"1109.518125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_31\">\r\n      <!-- 1000 -->\r\n      <g transform=\"translate(549.361332 1124.116562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_32\">\r\n     <!-- Sweeps -->\r\n     <defs>\r\n      <path d=\"M 4.203125 54.6875 \r\nL 13.1875 54.6875 \r\nL 24.421875 12.015625 \r\nL 35.59375 54.6875 \r\nL 46.1875 54.6875 \r\nL 57.421875 12.015625 \r\nL 68.609375 54.6875 \r\nL 77.59375 54.6875 \r\nL 63.28125 0 \r\nL 52.6875 0 \r\nL 40.921875 44.828125 \r\nL 29.109375 0 \r\nL 18.5 0 \r\nz\r\n\" id=\"DejaVuSans-77\"/>\r\n     </defs>\r\n     <g transform=\"translate(288.746875 1137.794688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-77\"/>\r\n      <use x=\"145.263672\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"206.787109\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"268.310547\" xlink:href=\"#DejaVuSans-70\"/>\r\n      <use x=\"331.787109\" xlink:href=\"#DejaVuSans-73\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_4\">\r\n    <g id=\"ytick_8\">\r\n     <g id=\"line2d_50\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"1074.714592\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_33\">\r\n      <!-- −2 -->\r\n      <g transform=\"translate(7.2 1078.513811)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_9\">\r\n     <g id=\"line2d_51\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"1001.88756\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_34\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(15.579688 1005.686779)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_10\">\r\n     <g id=\"line2d_52\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"929.060529\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_35\">\r\n      <!-- 2 -->\r\n      <g transform=\"translate(15.579688 932.859747)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_11\">\r\n     <g id=\"line2d_53\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"856.233497\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_36\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(15.579688 860.032716)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_12\">\r\n     <g id=\"line2d_54\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"783.406465\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_37\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(15.579688 787.205684)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_13\">\r\n     <g id=\"line2d_55\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"710.579434\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_38\">\r\n      <!-- 8 -->\r\n      <g transform=\"translate(15.579688 714.378652)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_14\">\r\n     <g id=\"line2d_56\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m259e61e12e\" y=\"637.752402\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_39\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(9.217188 641.551621)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_57\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.012113 \r\nL 61.414751 958.664374 \r\nL 65.984776 954.885562 \r\nL 70.04702 951.792167 \r\nL 74.109264 948.956878 \r\nL 78.171508 946.372736 \r\nL 82.233752 944.026194 \r\nL 86.803776 941.650042 \r\nL 91.373801 939.52979 \r\nL 95.943826 937.641735 \r\nL 101.021631 935.789012 \r\nL 106.099436 934.166867 \r\nL 111.685021 932.617982 \r\nL 117.778387 931.174439 \r\nL 124.379534 929.860414 \r\nL 131.488461 928.69187 \r\nL 139.105169 927.676777 \r\nL 147.229657 926.815801 \r\nL 156.369706 926.066989 \r\nL 167.033097 925.42211 \r\nL 179.727609 924.892351 \r\nL 194.961025 924.493172 \r\nL 214.256684 924.220093 \r\nL 242.184612 924.067049 \r\nL 294.993785 924.044343 \r\nL 561.578551 924.121664 \r\nL 561.578551 924.121664 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_58\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.01179 \r\nL 61.414751 958.664577 \r\nL 65.984776 954.888618 \r\nL 70.04702 951.798286 \r\nL 74.109264 948.966181 \r\nL 78.171508 946.385159 \r\nL 82.233752 944.041583 \r\nL 86.803776 941.668526 \r\nL 91.373801 939.551087 \r\nL 95.943826 937.66556 \r\nL 101.021631 935.815315 \r\nL 106.099436 934.195318 \r\nL 111.685021 932.648436 \r\nL 117.778387 931.206684 \r\nL 124.379534 929.894177 \r\nL 131.488461 928.726831 \r\nL 139.105169 927.712586 \r\nL 147.229657 926.852089 \r\nL 156.369706 926.103381 \r\nL 167.033097 925.458161 \r\nL 179.727609 924.927508 \r\nL 194.961025 924.526781 \r\nL 214.256684 924.251313 \r\nL 242.184612 924.094519 \r\nL 294.993785 924.065167 \r\nL 561.578551 924.126291 \r\nL 561.578551 924.126291 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_59\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.011473 \r\nL 61.414751 958.664831 \r\nL 65.984776 954.891728 \r\nL 70.04702 951.804454 \r\nL 74.109264 948.975524 \r\nL 78.171508 946.397613 \r\nL 82.233752 944.056992 \r\nL 86.803776 941.687018 \r\nL 91.373801 939.572382 \r\nL 95.943826 937.689372 \r\nL 101.021631 935.841597 \r\nL 106.099436 934.223739 \r\nL 111.685021 932.678854 \r\nL 117.778387 931.238886 \r\nL 124.379534 929.927891 \r\nL 131.488461 928.761741 \r\nL 139.105169 927.748341 \r\nL 147.229657 926.888322 \r\nL 156.369706 926.13972 \r\nL 167.033097 925.494162 \r\nL 179.727609 924.96262 \r\nL 194.961025 924.560349 \r\nL 214.764464 924.277586 \r\nL 242.692392 924.120554 \r\nL 296.009346 924.08633 \r\nL 561.578551 924.130928 \r\nL 561.578551 924.130928 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_60\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.011163 \r\nL 61.414751 958.665137 \r\nL 65.984776 954.894892 \r\nL 70.04702 951.810671 \r\nL 74.109264 948.984907 \r\nL 78.171508 946.410098 \r\nL 82.233752 944.072421 \r\nL 86.803776 941.705519 \r\nL 91.373801 939.593676 \r\nL 95.943826 937.713174 \r\nL 101.021631 935.867859 \r\nL 106.099436 934.252132 \r\nL 111.685021 932.709236 \r\nL 117.778387 931.271045 \r\nL 124.379534 929.961559 \r\nL 131.488461 928.7966 \r\nL 139.105169 927.784043 \r\nL 147.737437 926.877318 \r\nL 157.385267 926.104922 \r\nL 168.048658 925.479096 \r\nL 180.74317 924.963849 \r\nL 195.976586 924.573752 \r\nL 215.780025 924.299006 \r\nL 244.723514 924.142353 \r\nL 301.087151 924.108337 \r\nL 561.578551 924.135575 \r\nL 561.578551 924.135575 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_61\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.010859 \r\nL 61.414751 958.665494 \r\nL 65.984776 954.89811 \r\nL 70.04702 951.816937 \r\nL 74.109264 948.994331 \r\nL 78.171508 946.422613 \r\nL 82.233752 944.087871 \r\nL 86.803776 941.724029 \r\nL 91.373801 939.614967 \r\nL 95.943826 937.736963 \r\nL 101.021631 935.894099 \r\nL 106.099436 934.280496 \r\nL 111.685021 932.739582 \r\nL 117.778387 931.303162 \r\nL 124.379534 929.995179 \r\nL 131.488461 928.831408 \r\nL 139.105169 927.819692 \r\nL 147.737437 926.913462 \r\nL 157.385267 926.141144 \r\nL 168.048658 925.514943 \r\nL 180.74317 924.99878 \r\nL 195.976586 924.607127 \r\nL 215.780025 924.329935 \r\nL 244.723514 924.169423 \r\nL 300.57937 924.128381 \r\nL 561.578551 924.140233 \r\nL 561.578551 924.140233 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_62\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 965.010562 \r\nL 61.414751 958.665902 \r\nL 65.984776 954.901381 \r\nL 70.04702 951.823251 \r\nL 74.109264 949.003795 \r\nL 78.171508 946.435159 \r\nL 82.741532 943.827705 \r\nL 87.311557 941.49639 \r\nL 91.881581 939.416893 \r\nL 96.451606 937.565609 \r\nL 101.529411 935.749314 \r\nL 106.607216 934.159259 \r\nL 112.192802 932.641083 \r\nL 118.286168 931.226088 \r\nL 124.887314 929.937805 \r\nL 131.996242 928.79171 \r\nL 139.612949 927.795455 \r\nL 148.245218 926.903107 \r\nL 157.893047 926.142576 \r\nL 169.064219 925.501228 \r\nL 181.758731 925.00077 \r\nL 197.499927 924.611245 \r\nL 217.811147 924.342078 \r\nL 247.770197 924.188338 \r\nL 308.703858 924.149274 \r\nL 561.578551 924.144902 \r\nL 561.578551 924.144902 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_63\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 637.799117 \r\nL 55.321385 638.212878 \r\nL 56.336946 638.992421 \r\nL 57.352507 640.073985 \r\nL 58.875848 642.146692 \r\nL 60.39919 644.630397 \r\nL 62.430312 648.384735 \r\nL 65.476995 654.570918 \r\nL 76.648166 677.847015 \r\nL 80.71041 685.578363 \r\nL 84.264874 691.881053 \r\nL 87.819337 697.744302 \r\nL 91.373801 703.177413 \r\nL 94.928264 708.198096 \r\nL 98.482728 712.82817 \r\nL 102.037192 717.091137 \r\nL 105.591655 721.010819 \r\nL 109.146119 724.610609 \r\nL 112.700582 727.913061 \r\nL 116.255046 730.939682 \r\nL 120.31729 734.08699 \r\nL 124.379534 736.929096 \r\nL 128.441778 739.492521 \r\nL 132.504022 741.801852 \r\nL 137.074047 744.124368 \r\nL 141.644071 746.183745 \r\nL 146.214096 748.007067 \r\nL 151.291901 749.786003 \r\nL 156.369706 751.33436 \r\nL 161.955292 752.803745 \r\nL 168.048658 754.163999 \r\nL 174.649804 755.393063 \r\nL 181.758731 756.477151 \r\nL 189.375439 757.410392 \r\nL 198.007708 758.236743 \r\nL 207.655537 758.931093 \r\nL 218.826708 759.50601 \r\nL 232.029002 759.957387 \r\nL 248.785758 760.294254 \r\nL 271.128101 760.50476 \r\nL 306.672736 760.590914 \r\nL 449.866839 760.542465 \r\nL 561.578551 760.536931 \r\nL 561.578551 760.536931 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_64\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 964.179321 \r\nL 55.321385 962.229546 \r\nL 56.336946 961.01843 \r\nL 56.844726 960.651971 \r\nL 57.352507 960.427047 \r\nL 57.860287 960.331574 \r\nL 58.875848 960.485306 \r\nL 59.891409 961.034178 \r\nL 60.90697 961.91115 \r\nL 61.922531 963.05934 \r\nL 63.445873 965.186648 \r\nL 65.476995 968.580494 \r\nL 68.015898 973.398408 \r\nL 72.078142 981.737792 \r\nL 79.694849 997.440866 \r\nL 83.757093 1005.298562 \r\nL 87.819337 1012.652107 \r\nL 91.373801 1018.651012 \r\nL 94.928264 1024.245083 \r\nL 98.482728 1029.446079 \r\nL 102.037192 1034.270851 \r\nL 105.591655 1038.738731 \r\nL 109.146119 1042.870036 \r\nL 112.700582 1046.685207 \r\nL 116.255046 1050.204329 \r\nL 119.809509 1053.446846 \r\nL 123.871753 1056.837775 \r\nL 127.933997 1059.918223 \r\nL 131.996242 1062.713104 \r\nL 136.058486 1065.245778 \r\nL 140.12073 1067.538075 \r\nL 144.690754 1069.854856 \r\nL 149.260779 1071.919916 \r\nL 153.830803 1073.75787 \r\nL 158.908608 1075.561051 \r\nL 163.986414 1077.139795 \r\nL 169.571999 1078.647422 \r\nL 175.665365 1080.052853 \r\nL 182.266512 1081.332652 \r\nL 189.375439 1082.47134 \r\nL 196.992147 1083.461184 \r\nL 205.624415 1084.347672 \r\nL 215.272245 1085.102902 \r\nL 226.443416 1085.739194 \r\nL 239.137929 1086.234764 \r\nL 254.879124 1086.618913 \r\nL 275.190345 1086.881671 \r\nL 305.149395 1087.02648 \r\nL 366.590836 1087.049176 \r\nL 561.578551 1087.020764 \r\nL 561.578551 1087.020764 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_65\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 806.327737 \r\nL 55.321385 803.338265 \r\nL 56.336946 801.282584 \r\nL 57.352507 800.014601 \r\nL 57.860287 799.636155 \r\nL 58.368068 799.409196 \r\nL 58.875848 799.320906 \r\nL 59.383629 799.359444 \r\nL 60.39919 799.774112 \r\nL 61.414751 800.575454 \r\nL 62.430312 801.697278 \r\nL 63.953654 803.860095 \r\nL 65.476995 806.463589 \r\nL 67.508117 810.413828 \r\nL 70.5548 816.949104 \r\nL 82.741532 843.845209 \r\nL 86.803776 851.977542 \r\nL 90.35824 858.604385 \r\nL 93.912703 864.768495 \r\nL 97.467167 870.479816 \r\nL 101.021631 875.756494 \r\nL 104.576094 880.620875 \r\nL 108.130558 885.097203 \r\nL 111.685021 889.210294 \r\nL 115.239485 892.98475 \r\nL 118.793948 896.444511 \r\nL 122.348412 899.612587 \r\nL 125.902875 902.510903 \r\nL 129.96512 905.519525 \r\nL 134.027364 908.231945 \r\nL 138.089608 910.675155 \r\nL 142.151852 912.874106 \r\nL 146.721876 915.084485 \r\nL 151.291901 917.044583 \r\nL 156.369706 918.961644 \r\nL 161.447511 920.63609 \r\nL 167.033097 922.232759 \r\nL 172.618682 923.605815 \r\nL 178.712048 924.883839 \r\nL 185.313195 926.047292 \r\nL 192.929902 927.150209 \r\nL 201.054391 928.093916 \r\nL 210.19444 928.924871 \r\nL 220.35005 929.623508 \r\nL 232.536782 930.226507 \r\nL 246.754636 930.697393 \r\nL 264.526954 931.052496 \r\nL 288.392638 931.290151 \r\nL 325.460615 931.409927 \r\nL 422.446692 931.417459 \r\nL 561.578551 931.410474 \r\nL 561.578551 931.410474 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_66\">\r\n    <path clip-path=\"url(#p8b0978bfb2)\" d=\"M 54.305824 702.242052 \r\nL 54.813604 702.267201 \r\nL 55.321385 702.566359 \r\nL 55.829165 703.115313 \r\nL 56.336946 703.891758 \r\nL 57.352507 706.046599 \r\nL 58.368068 708.885336 \r\nL 59.891409 714.161119 \r\nL 61.414751 720.362689 \r\nL 63.445873 729.622874 \r\nL 66.492556 744.738544 \r\nL 77.155947 798.68735 \r\nL 80.71041 815.246781 \r\nL 84.264874 830.775714 \r\nL 87.819337 845.245905 \r\nL 91.373801 858.672818 \r\nL 94.420484 869.380209 \r\nL 97.467167 879.380842 \r\nL 100.51385 888.709268 \r\nL 103.560533 897.401211 \r\nL 106.607216 905.492419 \r\nL 109.653899 913.01797 \r\nL 112.700582 920.011866 \r\nL 115.747265 926.506798 \r\nL 118.793948 932.534023 \r\nL 121.840631 938.123312 \r\nL 124.887314 943.302935 \r\nL 127.933997 948.099679 \r\nL 130.980681 952.538876 \r\nL 134.535144 957.297878 \r\nL 138.089608 961.638372 \r\nL 141.644071 965.593598 \r\nL 145.198535 969.194501 \r\nL 148.752998 972.469853 \r\nL 152.307462 975.446369 \r\nL 155.861925 978.148827 \r\nL 159.416389 980.600179 \r\nL 163.478633 983.121418 \r\nL 167.540877 985.371512 \r\nL 171.603121 987.377063 \r\nL 176.173146 989.371103 \r\nL 180.74317 991.117514 \r\nL 185.820975 992.801577 \r\nL 190.89878 994.248826 \r\nL 196.484366 995.603388 \r\nL 202.577732 996.837577 \r\nL 209.178879 997.932415 \r\nL 216.287806 998.877472 \r\nL 223.904513 999.670099 \r\nL 232.536782 1000.348431 \r\nL 242.692392 1000.913501 \r\nL 254.371344 1001.326041 \r\nL 267.065857 1001.551068 \r\nL 284.330394 1001.608227 \r\nL 443.773473 1001.616876 \r\nL 561.578551 1001.618479 \r\nL 561.578551 1001.618479 \r\n\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_9\">\r\n    <path d=\"M 28.942188 1109.518125 \r\nL 28.942188 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_10\">\r\n    <path d=\"M 586.942188 1109.518125 \r\nL 586.942188 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_11\">\r\n    <path d=\"M 28.942187 1109.518125 \r\nL 586.942188 1109.518125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_12\">\r\n    <path d=\"M 28.942187 615.336307 \r\nL 586.942188 615.336307 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"text_40\">\r\n    <!-- Expected TDC -->\r\n    <defs>\r\n     <path d=\"M 54.890625 54.6875 \r\nL 35.109375 28.078125 \r\nL 55.90625 0 \r\nL 45.3125 0 \r\nL 29.390625 21.484375 \r\nL 13.484375 0 \r\nL 2.875 0 \r\nL 24.125 28.609375 \r\nL 4.6875 54.6875 \r\nL 15.28125 54.6875 \r\nL 29.78125 35.203125 \r\nL 44.28125 54.6875 \r\nz\r\n\" id=\"DejaVuSans-78\"/>\r\n     <path d=\"M 48.78125 52.59375 \r\nL 48.78125 44.1875 \r\nQ 44.96875 46.296875 41.140625 47.34375 \r\nQ 37.3125 48.390625 33.40625 48.390625 \r\nQ 24.65625 48.390625 19.8125 42.84375 \r\nQ 14.984375 37.3125 14.984375 27.296875 \r\nQ 14.984375 17.28125 19.8125 11.734375 \r\nQ 24.65625 6.203125 33.40625 6.203125 \r\nQ 37.3125 6.203125 41.140625 7.25 \r\nQ 44.96875 8.296875 48.78125 10.40625 \r\nL 48.78125 2.09375 \r\nQ 45.015625 0.34375 40.984375 -0.53125 \r\nQ 36.96875 -1.421875 32.421875 -1.421875 \r\nQ 20.0625 -1.421875 12.78125 6.34375 \r\nQ 5.515625 14.109375 5.515625 27.296875 \r\nQ 5.515625 40.671875 12.859375 48.328125 \r\nQ 20.21875 56 33.015625 56 \r\nQ 37.15625 56 41.109375 55.140625 \r\nQ 45.0625 54.296875 48.78125 52.59375 \r\nz\r\n\" id=\"DejaVuSans-63\"/>\r\n     <path d=\"M 45.40625 46.390625 \r\nL 45.40625 75.984375 \r\nL 54.390625 75.984375 \r\nL 54.390625 0 \r\nL 45.40625 0 \r\nL 45.40625 8.203125 \r\nQ 42.578125 3.328125 38.25 0.953125 \r\nQ 33.9375 -1.421875 27.875 -1.421875 \r\nQ 17.96875 -1.421875 11.734375 6.484375 \r\nQ 5.515625 14.40625 5.515625 27.296875 \r\nQ 5.515625 40.1875 11.734375 48.09375 \r\nQ 17.96875 56 27.875 56 \r\nQ 33.9375 56 38.25 53.625 \r\nQ 42.578125 51.265625 45.40625 46.390625 \r\nz\r\nM 14.796875 27.296875 \r\nQ 14.796875 17.390625 18.875 11.75 \r\nQ 22.953125 6.109375 30.078125 6.109375 \r\nQ 37.203125 6.109375 41.296875 11.75 \r\nQ 45.40625 17.390625 45.40625 27.296875 \r\nQ 45.40625 37.203125 41.296875 42.84375 \r\nQ 37.203125 48.484375 30.078125 48.484375 \r\nQ 22.953125 48.484375 18.875 42.84375 \r\nQ 14.796875 37.203125 14.796875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-64\"/>\r\n     <path id=\"DejaVuSans-20\"/>\r\n    </defs>\r\n    <g transform=\"translate(265.565313 609.336307)scale(0.12 -0.12)\">\r\n     <use xlink:href=\"#DejaVuSans-45\"/>\r\n     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-78\"/>\r\n     <use x=\"122.363281\" xlink:href=\"#DejaVuSans-70\"/>\r\n     <use x=\"185.839844\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"247.363281\" xlink:href=\"#DejaVuSans-63\"/>\r\n     <use x=\"302.34375\" xlink:href=\"#DejaVuSans-74\"/>\r\n     <use x=\"341.552734\" xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"403.076172\" xlink:href=\"#DejaVuSans-64\"/>\r\n     <use x=\"466.552734\" xlink:href=\"#DejaVuSans-20\"/>\r\n     <use x=\"498.339844\" xlink:href=\"#DejaVuSans-54\"/>\r\n     <use x=\"559.423828\" xlink:href=\"#DejaVuSans-44\"/>\r\n     <use x=\"636.425781\" xlink:href=\"#DejaVuSans-43\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"legend_2\">\r\n    <g id=\"patch_13\">\r\n     <path d=\"M 506.807813 770.117557 \r\nL 579.942188 770.117557 \r\nQ 581.942188 770.117557 581.942188 768.117557 \r\nL 581.942188 622.336307 \r\nQ 581.942188 620.336307 579.942188 620.336307 \r\nL 506.807813 620.336307 \r\nQ 504.807813 620.336307 504.807813 622.336307 \r\nL 504.807813 768.117557 \r\nQ 504.807813 770.117557 506.807813 770.117557 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_67\">\r\n     <path d=\"M 508.807813 628.434744 \r\nL 528.807812 628.434744 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_68\"/>\r\n    <g id=\"text_41\">\r\n     <!-- theta1 -->\r\n     <g transform=\"translate(536.807812 631.934744)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-31\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_69\">\r\n     <path d=\"M 508.807813 643.112869 \r\nL 528.807812 643.112869 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_70\"/>\r\n    <g id=\"text_42\">\r\n     <!-- theta2 -->\r\n     <g transform=\"translate(536.807812 646.612869)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-32\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_71\">\r\n     <path d=\"M 508.807813 657.790994 \r\nL 528.807812 657.790994 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_72\"/>\r\n    <g id=\"text_43\">\r\n     <!-- theta3 -->\r\n     <g transform=\"translate(536.807812 661.290994)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-33\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_73\">\r\n     <path d=\"M 508.807813 672.469119 \r\nL 528.807812 672.469119 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_74\"/>\r\n    <g id=\"text_44\">\r\n     <!-- theta4 -->\r\n     <g transform=\"translate(536.807812 675.969119)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-34\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_75\">\r\n     <path d=\"M 508.807813 687.147244 \r\nL 528.807812 687.147244 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_76\"/>\r\n    <g id=\"text_45\">\r\n     <!-- theta5 -->\r\n     <g transform=\"translate(536.807812 690.647244)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-35\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_77\">\r\n     <path d=\"M 508.807813 701.825369 \r\nL 528.807812 701.825369 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_78\"/>\r\n    <g id=\"text_46\">\r\n     <!-- theta6 -->\r\n     <g transform=\"translate(536.807812 705.325369)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-36\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_79\">\r\n     <path d=\"M 508.807813 716.503494 \r\nL 528.807812 716.503494 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_80\"/>\r\n    <g id=\"text_47\">\r\n     <!-- theta7 -->\r\n     <g transform=\"translate(536.807812 720.003494)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-37\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_81\">\r\n     <path d=\"M 508.807813 731.181619 \r\nL 528.807812 731.181619 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_82\"/>\r\n    <g id=\"text_48\">\r\n     <!-- theta8 -->\r\n     <g transform=\"translate(536.807812 734.681619)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-38\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_83\">\r\n     <path d=\"M 508.807813 745.859744 \r\nL 528.807812 745.859744 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_84\"/>\r\n    <g id=\"text_49\">\r\n     <!-- RMSVE -->\r\n     <g transform=\"translate(536.807812 749.359744)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-52\"/>\r\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-4d\"/>\r\n      <use x=\"155.761719\" xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"219.238281\" xlink:href=\"#DejaVuSans-56\"/>\r\n      <use x=\"287.646484\" xlink:href=\"#DejaVuSans-45\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_85\">\r\n     <path d=\"M 508.807813 760.537869 \r\nL 528.807812 760.537869 \r\n\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_86\"/>\r\n    <g id=\"text_50\">\r\n     <!-- RMSPBE -->\r\n     <g transform=\"translate(536.807812 764.037869)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-52\"/>\r\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-4d\"/>\r\n      <use x=\"155.761719\" xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"219.238281\" xlink:href=\"#DejaVuSans-50\"/>\r\n      <use x=\"279.541016\" xlink:href=\"#DejaVuSans-42\"/>\r\n      <use x=\"348.144531\" xlink:href=\"#DejaVuSans-45\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"pead93c1800\">\r\n   <rect height=\"494.181818\" width=\"558\" x=\"28.942188\" y=\"22.318125\"/>\r\n  </clipPath>\r\n  <clipPath id=\"p8b0978bfb2\">\r\n   <rect height=\"494.181818\" width=\"558\" x=\"28.942188\" y=\"615.336307\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "text/plain": "<Figure size 720x1440 with 2 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_11_5()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure 11.6, expected ETD\n",
    "def figure_11_6():\n",
    "    # Initialize the theta\n",
    "    theta = np.ones(FEATURE_SIZE)\n",
    "    theta[6] = 10\n",
    "\n",
    "    alpha = 0.03\n",
    "\n",
    "    sweeps = 1000\n",
    "    thetas = np.zeros((FEATURE_SIZE, sweeps))\n",
    "    RMSVE = np.zeros(sweeps)\n",
    "    emphasis = 0.0\n",
    "    for sweep in tqdm(range(sweeps)):\n",
    "        emphasis = expected_emphatic_TD(theta, emphasis, alpha)\n",
    "        thetas[:, sweep] = theta\n",
    "        RMSVE[sweep] = compute_RMSVE(theta)\n",
    "\n",
    "    for i in range(FEATURE_SIZE):\n",
    "        plt.plot(thetas[i, :], label='theta' + str(i + 1))\n",
    "    plt.plot(RMSVE, label='RMSVE')\n",
    "    plt.xlabel('Sweeps')\n",
    "    plt.title('emphatic TD')\n",
    "    plt.legend()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": "100%|██████████| 1000/1000 [00:00<00:00, 15184.98it/s]\n"
    },
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 374.442187 277.314375\" width=\"374.442187pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 277.314375 \r\nL 374.442187 277.314375 \r\nL 374.442187 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 28.942188 239.758125 \r\nL 363.742188 239.758125 \r\nL 363.742188 22.318125 \r\nL 28.942188 22.318125 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m56dd779e38\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.160369\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-30\"/>\r\n      </defs>\r\n      <g transform=\"translate(40.979119 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"105.09403\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 200 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-32\"/>\r\n      </defs>\r\n      <g transform=\"translate(95.55028 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"166.027691\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 400 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-34\"/>\r\n      </defs>\r\n      <g transform=\"translate(156.483941 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"226.961352\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 600 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-36\"/>\r\n      </defs>\r\n      <g transform=\"translate(217.417602 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"287.895013\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 800 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-38\"/>\r\n      </defs>\r\n      <g transform=\"translate(278.351263 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"348.828674\" xlink:href=\"#m56dd779e38\" y=\"239.758125\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 1000 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-31\"/>\r\n      </defs>\r\n      <g transform=\"translate(336.103674 254.356562)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_7\">\r\n     <!-- Sweeps -->\r\n     <defs>\r\n      <path d=\"M 53.515625 70.515625 \r\nL 53.515625 60.890625 \r\nQ 47.90625 63.578125 42.921875 64.890625 \r\nQ 37.9375 66.21875 33.296875 66.21875 \r\nQ 25.25 66.21875 20.875 63.09375 \r\nQ 16.5 59.96875 16.5 54.203125 \r\nQ 16.5 49.359375 19.40625 46.890625 \r\nQ 22.3125 44.4375 30.421875 42.921875 \r\nL 36.375 41.703125 \r\nQ 47.40625 39.59375 52.65625 34.296875 \r\nQ 57.90625 29 57.90625 20.125 \r\nQ 57.90625 9.515625 50.796875 4.046875 \r\nQ 43.703125 -1.421875 29.984375 -1.421875 \r\nQ 24.8125 -1.421875 18.96875 -0.25 \r\nQ 13.140625 0.921875 6.890625 3.21875 \r\nL 6.890625 13.375 \r\nQ 12.890625 10.015625 18.65625 8.296875 \r\nQ 24.421875 6.59375 29.984375 6.59375 \r\nQ 38.421875 6.59375 43.015625 9.90625 \r\nQ 47.609375 13.234375 47.609375 19.390625 \r\nQ 47.609375 24.75 44.3125 27.78125 \r\nQ 41.015625 30.8125 33.5 32.328125 \r\nL 27.484375 33.5 \r\nQ 16.453125 35.6875 11.515625 40.375 \r\nQ 6.59375 45.0625 6.59375 53.421875 \r\nQ 6.59375 63.09375 13.40625 68.65625 \r\nQ 20.21875 74.21875 32.171875 74.21875 \r\nQ 37.3125 74.21875 42.625 73.28125 \r\nQ 47.953125 72.359375 53.515625 70.515625 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      <path d=\"M 4.203125 54.6875 \r\nL 13.1875 54.6875 \r\nL 24.421875 12.015625 \r\nL 35.59375 54.6875 \r\nL 46.1875 54.6875 \r\nL 57.421875 12.015625 \r\nL 68.609375 54.6875 \r\nL 77.59375 54.6875 \r\nL 63.28125 0 \r\nL 52.6875 0 \r\nL 40.921875 44.828125 \r\nL 29.109375 0 \r\nL 18.5 0 \r\nz\r\n\" id=\"DejaVuSans-77\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-65\"/>\r\n      <path d=\"M 18.109375 8.203125 \r\nL 18.109375 -20.796875 \r\nL 9.078125 -20.796875 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.390625 \r\nQ 20.953125 51.265625 25.265625 53.625 \r\nQ 29.59375 56 35.59375 56 \r\nQ 45.5625 56 51.78125 48.09375 \r\nQ 58.015625 40.1875 58.015625 27.296875 \r\nQ 58.015625 14.40625 51.78125 6.484375 \r\nQ 45.5625 -1.421875 35.59375 -1.421875 \r\nQ 29.59375 -1.421875 25.265625 0.953125 \r\nQ 20.953125 3.328125 18.109375 8.203125 \r\nz\r\nM 48.6875 27.296875 \r\nQ 48.6875 37.203125 44.609375 42.84375 \r\nQ 40.53125 48.484375 33.40625 48.484375 \r\nQ 26.265625 48.484375 22.1875 42.84375 \r\nQ 18.109375 37.203125 18.109375 27.296875 \r\nQ 18.109375 17.390625 22.1875 11.75 \r\nQ 26.265625 6.109375 33.40625 6.109375 \r\nQ 40.53125 6.109375 44.609375 11.75 \r\nQ 48.6875 17.390625 48.6875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-70\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-73\"/>\r\n     </defs>\r\n     <g transform=\"translate(177.146875 268.034687)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-77\"/>\r\n      <use x=\"145.263672\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"206.787109\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"268.310547\" xlink:href=\"#DejaVuSans-70\"/>\r\n      <use x=\"331.787109\" xlink:href=\"#DejaVuSans-73\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m4f88ce02e7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"234.262969\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- −4 -->\r\n      <defs>\r\n       <path d=\"M 10.59375 35.5 \r\nL 73.1875 35.5 \r\nL 73.1875 27.203125 \r\nL 10.59375 27.203125 \r\nz\r\n\" id=\"DejaVuSans-2212\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 238.062188)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-34\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"206.689782\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- −2 -->\r\n      <g transform=\"translate(7.2 210.489001)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"179.116596\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(15.579688 182.915814)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"151.543409\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 2 -->\r\n      <g transform=\"translate(15.579688 155.342628)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-32\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"123.970222\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(15.579688 127.769441)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-34\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"96.397036\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(15.579688 100.196254)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-36\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"68.823849\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 8 -->\r\n      <g transform=\"translate(15.579688 72.623068)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-38\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_8\">\r\n     <g id=\"line2d_14\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m4f88ce02e7\" y=\"41.250662\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_15\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(9.217188 45.049881)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-31\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_15\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_16\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_17\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_18\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_19\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_20\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 164.280646 \r\nL 49.949067 144.488679 \r\nL 51.472409 140.166872 \r\nL 52.691082 137.239359 \r\nL 53.909755 134.855469 \r\nL 54.82376 133.448811 \r\nL 55.737765 132.376607 \r\nL 56.65177 131.636356 \r\nL 57.565775 131.217499 \r\nL 58.47978 131.10234 \r\nL 59.393785 131.267198 \r\nL 60.307789 131.683718 \r\nL 61.221794 132.320246 \r\nL 62.440468 133.452999 \r\nL 63.963809 135.211764 \r\nL 66.401156 138.468195 \r\nL 70.361844 143.808348 \r\nL 72.494522 146.313021 \r\nL 74.322531 148.158269 \r\nL 76.150541 149.714044 \r\nL 77.978551 150.994827 \r\nL 79.806561 152.029021 \r\nL 81.939239 152.970365 \r\nL 84.071917 153.6798 \r\nL 86.509264 154.272374 \r\nL 89.555947 154.777564 \r\nL 93.516635 155.180828 \r\nL 98.695996 155.4652 \r\nL 106.617372 155.656808 \r\nL 121.546119 155.759733 \r\nL 172.730394 155.785299 \r\nL 348.524006 155.785438 \r\nL 348.524006 155.785438 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_21\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 41.257753 \r\nL 44.769706 41.428782 \r\nL 45.379043 41.828059 \r\nL 45.988379 42.474658 \r\nL 46.597716 43.38273 \r\nL 47.511721 45.252785 \r\nL 48.425726 47.735317 \r\nL 49.33973 50.807051 \r\nL 50.558404 55.727478 \r\nL 52.081745 62.928639 \r\nL 55.128428 78.901875 \r\nL 57.261106 89.439744 \r\nL 58.784448 95.836259 \r\nL 60.003121 100.045903 \r\nL 61.221794 103.36524 \r\nL 62.135799 105.25929 \r\nL 63.049804 106.655501 \r\nL 63.963809 107.579994 \r\nL 64.573146 107.952105 \r\nL 65.182482 108.143765 \r\nL 65.791819 108.169136 \r\nL 66.705824 107.928308 \r\nL 67.619829 107.399432 \r\nL 68.838502 106.336729 \r\nL 70.361844 104.599733 \r\nL 72.79919 101.347922 \r\nL 76.150541 96.898525 \r\nL 78.283219 94.45169 \r\nL 80.111229 92.678355 \r\nL 81.939239 91.208121 \r\nL 83.767249 90.018284 \r\nL 85.595259 89.073307 \r\nL 87.727937 88.227268 \r\nL 90.165283 87.524697 \r\nL 92.907298 86.979821 \r\nL 96.258649 86.550576 \r\nL 100.828674 86.215162 \r\nL 107.226708 85.988498 \r\nL 118.194767 85.849701 \r\nL 145.005578 85.795448 \r\nL 348.524006 85.791964 \r\nL 348.524006 85.791964 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_22\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 162.196113 \r\nL 45.683711 147.884328 \r\nL 46.902384 138.599332 \r\nL 47.816389 133.210432 \r\nL 48.730394 129.327511 \r\nL 49.33973 127.617036 \r\nL 49.949067 126.620888 \r\nL 50.253735 126.390143 \r\nL 50.558404 126.335872 \r\nL 50.863072 126.455889 \r\nL 51.16774 126.747327 \r\nL 51.777077 127.829788 \r\nL 52.386414 129.547902 \r\nL 52.99575 131.857563 \r\nL 53.909755 136.316727 \r\nL 55.128428 143.805015 \r\nL 56.65177 154.912042 \r\nL 62.135799 196.786806 \r\nL 63.659141 205.991432 \r\nL 64.877814 212.151918 \r\nL 66.096487 217.22622 \r\nL 67.31516 221.262315 \r\nL 68.229165 223.661156 \r\nL 69.14317 225.574577 \r\nL 70.057175 227.055886 \r\nL 70.97118 228.160394 \r\nL 71.885185 228.943025 \r\nL 72.79919 229.456449 \r\nL 73.713195 229.749717 \r\nL 74.931868 229.874489 \r\nL 76.150541 229.777854 \r\nL 77.978551 229.37726 \r\nL 82.243907 228.074974 \r\nL 85.595259 227.205509 \r\nL 88.641942 226.652709 \r\nL 91.993293 226.268678 \r\nL 96.258649 226.006343 \r\nL 102.961352 225.846987 \r\nL 117.585431 225.785055 \r\nL 245.24145 225.778912 \r\nL 348.524006 225.778912 \r\nL 348.524006 225.778912 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_23\">\r\n    <path clip-path=\"url(#p1b3facdacc)\" d=\"M 44.160369 101.191792 \r\nL 46.293047 70.433082 \r\nL 47.511721 55.766111 \r\nL 48.425726 46.839855 \r\nL 49.33973 39.947253 \r\nL 49.949067 36.549072 \r\nL 50.558404 34.129138 \r\nL 51.16774 32.685915 \r\nL 51.472409 32.325654 \r\nL 51.777077 32.201761 \r\nL 52.081745 32.309719 \r\nL 52.386414 32.644174 \r\nL 52.99575 33.96728 \r\nL 53.605087 36.113542 \r\nL 54.214423 39.015617 \r\nL 55.128428 44.619776 \r\nL 56.347102 53.992377 \r\nL 57.870443 67.792719 \r\nL 63.049804 116.689433 \r\nL 64.573146 128.426813 \r\nL 66.096487 138.304252 \r\nL 67.31516 144.878971 \r\nL 68.533834 150.367739 \r\nL 69.752507 154.902936 \r\nL 70.97118 158.635735 \r\nL 72.189853 161.716039 \r\nL 73.408527 164.277888 \r\nL 74.931868 166.916707 \r\nL 76.45521 169.076296 \r\nL 77.978551 170.865025 \r\nL 79.501893 172.354496 \r\nL 81.329902 173.815053 \r\nL 83.157912 174.977516 \r\nL 84.985922 175.892772 \r\nL 87.1186 176.707581 \r\nL 89.555947 177.381215 \r\nL 92.297961 177.90274 \r\nL 95.953981 178.345111 \r\nL 100.828674 178.679143 \r\nL 107.836045 178.913986 \r\nL 119.718109 179.058706 \r\nL 147.442925 179.113202 \r\nL 348.524006 179.116596 \r\nL 348.524006 179.116596 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 28.942188 239.758125 \r\nL 28.942188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 363.742188 239.758125 \r\nL 363.742188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 28.942188 239.758125 \r\nL 363.742188 239.758125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 28.942188 22.318125 \r\nL 363.742188 22.318125 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"text_16\">\r\n    <!-- emphatic TD -->\r\n    <defs>\r\n     <path d=\"M 52 44.1875 \r\nQ 55.375 50.25 60.0625 53.125 \r\nQ 64.75 56 71.09375 56 \r\nQ 79.640625 56 84.28125 50.015625 \r\nQ 88.921875 44.046875 88.921875 33.015625 \r\nL 88.921875 0 \r\nL 79.890625 0 \r\nL 79.890625 32.71875 \r\nQ 79.890625 40.578125 77.09375 44.375 \r\nQ 74.3125 48.1875 68.609375 48.1875 \r\nQ 61.625 48.1875 57.5625 43.546875 \r\nQ 53.515625 38.921875 53.515625 30.90625 \r\nL 53.515625 0 \r\nL 44.484375 0 \r\nL 44.484375 32.71875 \r\nQ 44.484375 40.625 41.703125 44.40625 \r\nQ 38.921875 48.1875 33.109375 48.1875 \r\nQ 26.21875 48.1875 22.15625 43.53125 \r\nQ 18.109375 38.875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 21.1875 51.21875 25.484375 53.609375 \r\nQ 29.78125 56 35.6875 56 \r\nQ 41.65625 56 45.828125 52.96875 \r\nQ 50 49.953125 52 44.1875 \r\nz\r\n\" id=\"DejaVuSans-6d\"/>\r\n     <path d=\"M 54.890625 33.015625 \r\nL 54.890625 0 \r\nL 45.90625 0 \r\nL 45.90625 32.71875 \r\nQ 45.90625 40.484375 42.875 44.328125 \r\nQ 39.84375 48.1875 33.796875 48.1875 \r\nQ 26.515625 48.1875 22.3125 43.546875 \r\nQ 18.109375 38.921875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 75.984375 \r\nL 18.109375 75.984375 \r\nL 18.109375 46.1875 \r\nQ 21.34375 51.125 25.703125 53.5625 \r\nQ 30.078125 56 35.796875 56 \r\nQ 45.21875 56 50.046875 50.171875 \r\nQ 54.890625 44.34375 54.890625 33.015625 \r\nz\r\n\" id=\"DejaVuSans-68\"/>\r\n     <path d=\"M 34.28125 27.484375 \r\nQ 23.390625 27.484375 19.1875 25 \r\nQ 14.984375 22.515625 14.984375 16.5 \r\nQ 14.984375 11.71875 18.140625 8.90625 \r\nQ 21.296875 6.109375 26.703125 6.109375 \r\nQ 34.1875 6.109375 38.703125 11.40625 \r\nQ 43.21875 16.703125 43.21875 25.484375 \r\nL 43.21875 27.484375 \r\nz\r\nM 52.203125 31.203125 \r\nL 52.203125 0 \r\nL 43.21875 0 \r\nL 43.21875 8.296875 \r\nQ 40.140625 3.328125 35.546875 0.953125 \r\nQ 30.953125 -1.421875 24.3125 -1.421875 \r\nQ 15.921875 -1.421875 10.953125 3.296875 \r\nQ 6 8.015625 6 15.921875 \r\nQ 6 25.140625 12.171875 29.828125 \r\nQ 18.359375 34.515625 30.609375 34.515625 \r\nL 43.21875 34.515625 \r\nL 43.21875 35.40625 \r\nQ 43.21875 41.609375 39.140625 45 \r\nQ 35.0625 48.390625 27.6875 48.390625 \r\nQ 23 48.390625 18.546875 47.265625 \r\nQ 14.109375 46.140625 10.015625 43.890625 \r\nL 10.015625 52.203125 \r\nQ 14.9375 54.109375 19.578125 55.046875 \r\nQ 24.21875 56 28.609375 56 \r\nQ 40.484375 56 46.34375 49.84375 \r\nQ 52.203125 43.703125 52.203125 31.203125 \r\nz\r\n\" id=\"DejaVuSans-61\"/>\r\n     <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-74\"/>\r\n     <path d=\"M 9.421875 54.6875 \r\nL 18.40625 54.6875 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\nM 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 64.59375 \r\nL 9.421875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-69\"/>\r\n     <path d=\"M 48.78125 52.59375 \r\nL 48.78125 44.1875 \r\nQ 44.96875 46.296875 41.140625 47.34375 \r\nQ 37.3125 48.390625 33.40625 48.390625 \r\nQ 24.65625 48.390625 19.8125 42.84375 \r\nQ 14.984375 37.3125 14.984375 27.296875 \r\nQ 14.984375 17.28125 19.8125 11.734375 \r\nQ 24.65625 6.203125 33.40625 6.203125 \r\nQ 37.3125 6.203125 41.140625 7.25 \r\nQ 44.96875 8.296875 48.78125 10.40625 \r\nL 48.78125 2.09375 \r\nQ 45.015625 0.34375 40.984375 -0.53125 \r\nQ 36.96875 -1.421875 32.421875 -1.421875 \r\nQ 20.0625 -1.421875 12.78125 6.34375 \r\nQ 5.515625 14.109375 5.515625 27.296875 \r\nQ 5.515625 40.671875 12.859375 48.328125 \r\nQ 20.21875 56 33.015625 56 \r\nQ 37.15625 56 41.109375 55.140625 \r\nQ 45.0625 54.296875 48.78125 52.59375 \r\nz\r\n\" id=\"DejaVuSans-63\"/>\r\n     <path id=\"DejaVuSans-20\"/>\r\n     <path d=\"M -0.296875 72.90625 \r\nL 61.375 72.90625 \r\nL 61.375 64.59375 \r\nL 35.5 64.59375 \r\nL 35.5 0 \r\nL 25.59375 0 \r\nL 25.59375 64.59375 \r\nL -0.296875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n     <path d=\"M 19.671875 64.796875 \r\nL 19.671875 8.109375 \r\nL 31.59375 8.109375 \r\nQ 46.6875 8.109375 53.6875 14.9375 \r\nQ 60.6875 21.78125 60.6875 36.53125 \r\nQ 60.6875 51.171875 53.6875 57.984375 \r\nQ 46.6875 64.796875 31.59375 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 30.078125 72.90625 \r\nQ 51.265625 72.90625 61.171875 64.09375 \r\nQ 71.09375 55.28125 71.09375 36.53125 \r\nQ 71.09375 17.671875 61.125 8.828125 \r\nQ 51.171875 0 30.078125 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-44\"/>\r\n    </defs>\r\n    <g transform=\"translate(158.007813 16.318125)scale(0.12 -0.12)\">\r\n     <use xlink:href=\"#DejaVuSans-65\"/>\r\n     <use x=\"61.523438\" xlink:href=\"#DejaVuSans-6d\"/>\r\n     <use x=\"158.935547\" xlink:href=\"#DejaVuSans-70\"/>\r\n     <use x=\"222.412109\" xlink:href=\"#DejaVuSans-68\"/>\r\n     <use x=\"285.791016\" xlink:href=\"#DejaVuSans-61\"/>\r\n     <use x=\"347.070312\" xlink:href=\"#DejaVuSans-74\"/>\r\n     <use x=\"386.279297\" xlink:href=\"#DejaVuSans-69\"/>\r\n     <use x=\"414.0625\" xlink:href=\"#DejaVuSans-63\"/>\r\n     <use x=\"469.042969\" xlink:href=\"#DejaVuSans-20\"/>\r\n     <use x=\"500.830078\" xlink:href=\"#DejaVuSans-54\"/>\r\n     <use x=\"561.914062\" xlink:href=\"#DejaVuSans-44\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 289.657813 162.42125 \r\nL 356.742188 162.42125 \r\nQ 358.742188 162.42125 358.742188 160.42125 \r\nL 358.742188 29.318125 \r\nQ 358.742188 27.318125 356.742188 27.318125 \r\nL 289.657813 27.318125 \r\nQ 287.657813 27.318125 287.657813 29.318125 \r\nL 287.657813 160.42125 \r\nQ 287.657813 162.42125 289.657813 162.42125 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_24\">\r\n     <path d=\"M 291.657813 35.416562 \r\nL 311.657813 35.416562 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_25\"/>\r\n    <g id=\"text_17\">\r\n     <!-- theta1 -->\r\n     <g transform=\"translate(319.657813 38.916562)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-31\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_26\">\r\n     <path d=\"M 291.657813 50.094688 \r\nL 311.657813 50.094688 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_27\"/>\r\n    <g id=\"text_18\">\r\n     <!-- theta2 -->\r\n     <g transform=\"translate(319.657813 53.594688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-32\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_28\">\r\n     <path d=\"M 291.657813 64.772812 \r\nL 311.657813 64.772812 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_29\"/>\r\n    <g id=\"text_19\">\r\n     <!-- theta3 -->\r\n     <defs>\r\n      <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-33\"/>\r\n     </defs>\r\n     <g transform=\"translate(319.657813 68.272812)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-33\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_30\">\r\n     <path d=\"M 291.657813 79.450938 \r\nL 311.657813 79.450938 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_31\"/>\r\n    <g id=\"text_20\">\r\n     <!-- theta4 -->\r\n     <g transform=\"translate(319.657813 82.950938)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-34\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_32\">\r\n     <path d=\"M 291.657813 94.129063 \r\nL 311.657813 94.129063 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_33\"/>\r\n    <g id=\"text_21\">\r\n     <!-- theta5 -->\r\n     <defs>\r\n      <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-35\"/>\r\n     </defs>\r\n     <g transform=\"translate(319.657813 97.629063)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-35\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_34\">\r\n     <path d=\"M 291.657813 108.807187 \r\nL 311.657813 108.807187 \r\n\" style=\"fill:none;stroke:#8c564b;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_35\"/>\r\n    <g id=\"text_22\">\r\n     <!-- theta6 -->\r\n     <g transform=\"translate(319.657813 112.307187)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-36\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_36\">\r\n     <path d=\"M 291.657813 123.485312 \r\nL 311.657813 123.485312 \r\n\" style=\"fill:none;stroke:#e377c2;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_37\"/>\r\n    <g id=\"text_23\">\r\n     <!-- theta7 -->\r\n     <defs>\r\n      <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-37\"/>\r\n     </defs>\r\n     <g transform=\"translate(319.657813 126.985312)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-37\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_38\">\r\n     <path d=\"M 291.657813 138.163437 \r\nL 311.657813 138.163437 \r\n\" style=\"fill:none;stroke:#7f7f7f;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_39\"/>\r\n    <g id=\"text_24\">\r\n     <!-- theta8 -->\r\n     <g transform=\"translate(319.657813 141.663437)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-68\"/>\r\n      <use x=\"102.587891\" xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"164.111328\" xlink:href=\"#DejaVuSans-74\"/>\r\n      <use x=\"203.320312\" xlink:href=\"#DejaVuSans-61\"/>\r\n      <use x=\"264.599609\" xlink:href=\"#DejaVuSans-38\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_40\">\r\n     <path d=\"M 291.657813 152.841562 \r\nL 311.657813 152.841562 \r\n\" style=\"fill:none;stroke:#bcbd22;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_41\"/>\r\n    <g id=\"text_25\">\r\n     <!-- RMSVE -->\r\n     <defs>\r\n      <path d=\"M 44.390625 34.1875 \r\nQ 47.5625 33.109375 50.5625 29.59375 \r\nQ 53.5625 26.078125 56.59375 19.921875 \r\nL 66.609375 0 \r\nL 56 0 \r\nL 46.6875 18.703125 \r\nQ 43.0625 26.03125 39.671875 28.421875 \r\nQ 36.28125 30.8125 30.421875 30.8125 \r\nL 19.671875 30.8125 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nL 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.578125 72.90625 50.734375 67.671875 \r\nQ 56.890625 62.453125 56.890625 51.90625 \r\nQ 56.890625 45.015625 53.6875 40.46875 \r\nQ 50.484375 35.9375 44.390625 34.1875 \r\nz\r\nM 19.671875 64.796875 \r\nL 19.671875 38.921875 \r\nL 32.078125 38.921875 \r\nQ 39.203125 38.921875 42.84375 42.21875 \r\nQ 46.484375 45.515625 46.484375 51.90625 \r\nQ 46.484375 58.296875 42.84375 61.546875 \r\nQ 39.203125 64.796875 32.078125 64.796875 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      <path d=\"M 9.8125 72.90625 \r\nL 24.515625 72.90625 \r\nL 43.109375 23.296875 \r\nL 61.8125 72.90625 \r\nL 76.515625 72.90625 \r\nL 76.515625 0 \r\nL 66.890625 0 \r\nL 66.890625 64.015625 \r\nL 48.09375 14.015625 \r\nL 38.1875 14.015625 \r\nL 19.390625 64.015625 \r\nL 19.390625 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-4d\"/>\r\n      <path d=\"M 28.609375 0 \r\nL 0.78125 72.90625 \r\nL 11.078125 72.90625 \r\nL 34.1875 11.53125 \r\nL 57.328125 72.90625 \r\nL 67.578125 72.90625 \r\nL 39.796875 0 \r\nz\r\n\" id=\"DejaVuSans-56\"/>\r\n      <path d=\"M 9.8125 72.90625 \r\nL 55.90625 72.90625 \r\nL 55.90625 64.59375 \r\nL 19.671875 64.59375 \r\nL 19.671875 43.015625 \r\nL 54.390625 43.015625 \r\nL 54.390625 34.71875 \r\nL 19.671875 34.71875 \r\nL 19.671875 8.296875 \r\nL 56.78125 8.296875 \r\nL 56.78125 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-45\"/>\r\n     </defs>\r\n     <g transform=\"translate(319.657813 156.341562)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-52\"/>\r\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-4d\"/>\r\n      <use x=\"155.761719\" xlink:href=\"#DejaVuSans-53\"/>\r\n      <use x=\"219.238281\" xlink:href=\"#DejaVuSans-56\"/>\r\n      <use x=\"287.646484\" xlink:href=\"#DejaVuSans-45\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p1b3facdacc\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"28.942188\" y=\"22.318125\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_11_6()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}