QClassifier_EN.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quantum Classifier\n",
    "\n",
    "<em> Copyright (c) 2021 Institute for Quantum Computing, Baidu Inc. All Rights Reserved. </em>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview\n",
    "\n",
    "In this tutorial, we will discuss the workflow of Variational Quantum Classifiers (VQC) and how to use quantum neural networks (QNN) to accomplish a **binary classification** task. The main representatives of this approach include the [Quantum Circuit Learning (QCL)](https://arxiv.org/abs/1803.00745) [1] by Mitarai et al. (2018), Farhi & Neven ( 2018) [2] and [Circuit-Centric Quantum Classifiers](https://arxiv.org/abs/1804.00633) [3] by Schuld et al. (2018). Here, we mainly talk about classification in the language of supervised learning. Unlike classical methods, quantum classifiers require pre-processing to encode classical data into quantum data, and then train the parameters in the quantum neural network. Finally, we benchmark the optimal classification performance through test data.\n",
    "\n",
    "### Background\n",
    "\n",
    "In the language of supervised learning, we need to enter a data set composed of $N$ groups of labeled data points $D = \\{(x^k,y^k)\\}_{k=1}^{N}$ , Where $x^k\\in \\mathbb{R}^{m}$ is the data point, and $y^k \\in\\{0,1\\}$ is the label associated with the data point $x^k$. **The classification process is essentially a decision-making process, which determines the label attribution of a given data point**. For the quantum classifier framework, the realization of the classifier $\\mathcal{F}$ is a combination of a quantum neural network (or parameterized quantum circuit) with parameters $\\theta$, measurement, and data processing. An excellent classifier $\\mathcal{F}_\\theta$ should correctly map the data points in each data set to the corresponding labels as accurate as possible $\\mathcal{F}_\\theta(x^k ) \\rightarrow y^k$. Therefore, we use the cumulative distance between the predicted label $\\tilde{y}^{k} = \\mathcal{F}_\\theta(x^k)$ and the actual label $y^k$ as the loss function $\\mathcal {L}(\\theta)$ to be optimized. For binary classification tasks, we can choose the following loss function,\n",
    "\n",
    "$$\n",
    "\\mathcal{L}(\\theta) = \\sum_{k=1}^N |\\tilde{y}^{k}-y^k|^2. \\tag{1}\n",
    "$$\n",
    "\n",
    "### Pipeline\n",
    "\n",
    "Here we give the whole pipeline to implement a quantum classifier under the framework of quantum circuit learning (QCL).\n",
    "\n",
    "1. Apply the parameterized quantum circuit $U$ on the initialized qubit $\\lvert 0 \\rangle$ to encode the original classical data point $x^k$ into quantum data that can be processed on a quantum computer $\\lvert \\psi_{in}\\rangle^k$.\n",
    "2. Apply the parameterized circuit $U(\\theta)$ with the parameter $\\theta$ on input states $\\lvert \\psi_{in} \\rangle^k$, thereby obtaining the output state $\\lvert \\psi_{out} \\rangle^k = U(\\theta)\\lvert \\psi_{in} \\rangle^k$.\n",
    "3. Measure the quantum state $\\lvert \\psi_{out}\\rangle^k$ processed by the quantum neural network to get the estimated label $\\tilde{y}^{k}$.\n",
    "4. Repeat steps 2-3 until all data points in the data set have been processed. Then calculate the loss function $\\mathcal{L}(\\theta)$.\n",
    "5. Continuously adjust the parameter $\\theta$ through optimization methods such as gradient descent to minimize the loss function. Record the optimal parameters after optimization $\\theta^* $, and then we obtain the optimal classifier $\\mathcal{F}_{\\theta^*}$.\n",
    "\n",
    "![QCL](figures/qclassifier-fig-pipeline.png \"Figure 1: Flow chart of quantum classifier training\")\n",
    "<div style=\"text-align:center\">Figure 1: Flow chart of quantum classifier training </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Paddle Quantum Implementation\n",
    "\n",
    "Here, we first import the required packages:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:02.217962Z",
     "start_time": "2021-01-09T07:56:58.251453Z"
    }
   },
   "outputs": [],
   "source": [
    "import time\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "from numpy import pi as PI\n",
    "from matplotlib import pyplot as plt\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "from paddle import fluid\n",
    "from paddle.fluid.framework import ComplexVariable\n",
    "from paddle.complex import matmul, transpose\n",
    "from paddle_quantum.circuit import UAnsatz\n",
    "from paddle_quantum.utils import pauli_str_to_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:02.256389Z",
     "start_time": "2021-01-09T07:57:02.224609Z"
    }
   },
   "outputs": [],
   "source": [
    "# These are the main functions that will be used in the tutorial\n",
    "__all__ = [\n",
    "    \"circle_data_point_generator\",\n",
    "    \"data_point_plot\",\n",
    "    \"heatmap_plot\",\n",
    "    \"myRy\",\n",
    "    \"myRz\",\n",
    "    \"Observable\",\n",
    "    \"U_theta\",\n",
    "    \"Net\",\n",
    "    \"QClassifier\",\n",
    "    \"main\",\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data set generation\n",
    "\n",
    "One of the key parts in supervised learning is what data set to use? In this tutorial, we follow the exact approach introduced in QCL paper to generate a simple binary data set $\\{(x^{(i)}, y^{(i)})\\}$ with circular decision boundary, where the data point $x^{(i)}\\in \\mathbb{R}^{2}$, and the label $y^{(i)} \\in \\{0,1\\}$. The figure below provides us a concrete example.\n",
    "\n",
    "![QC-fig-data](./figures/qclassifier-fig-data.png \"Figure 2: Generated data set and the corresponding decision boundary\")\n",
    "<div style=\"text-align:center\">Figure 2: Generated data set and the corresponding decision boundary </div>\n",
    "\n",
    "For the generation method and visualization, please see the following code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:02.288592Z",
     "start_time": "2021-01-09T07:57:02.263439Z"
    }
   },
   "outputs": [],
   "source": [
    "# Generate a binary classification data set with circular decision boundary\n",
    "def circle_data_point_generator(Ntrain, Ntest, boundary_gap, seed_data):\n",
    "    \"\"\"\n",
    "    :param Ntrain: number of training samples\n",
    "    :param Ntest: number of test samples\n",
    "    :param boundary_gap: value in (0, 0.5), means the gap between two labels\n",
    "    :param seed_data: random seed\n",
    "    :return: 'Ntrain' samples for training and\n",
    "             'Ntest' samples for testing\n",
    "    \"\"\"\n",
    "    train_x, train_y = [], []\n",
    "    num_samples, seed_para = 0, 0\n",
    "    while num_samples <Ntrain + Ntest:\n",
    "        np.random.seed((seed_data + 10) * 1000 + seed_para + num_samples)\n",
    "        data_point = np.random.rand(2) * 2-1\n",
    "\n",
    "        # If the modulus of the data point is less than (0.7 - gap), mark it as 0\n",
    "        if np.linalg.norm(data_point) < 0.7-boundary_gap / 2:\n",
    "            train_x.append(data_point)\n",
    "            train_y.append(0.)\n",
    "            num_samples += 1\n",
    "\n",
    "        # If the modulus of the data point is greater than (0.7 + gap), mark it as 1\n",
    "        elif np.linalg.norm(data_point) > 0.7 + boundary_gap / 2:\n",
    "            train_x.append(data_point)\n",
    "            train_y.append(1.)\n",
    "            num_samples += 1\n",
    "        else:\n",
    "            seed_para += 1\n",
    "\n",
    "    train_x = np.array(train_x).astype(\"float64\")\n",
    "    train_y = np.array([train_y]).astype(\"float64\").T\n",
    "\n",
    "    print(\"The dimensions of the training set x {} and y {}\".format(np.shape(train_x[0:Ntrain]), np.shape(train_y[0:Ntrain])))\n",
    "    print(\"The dimensions of the test set x {} and y {}\".format(np.shape(train_x[Ntrain:]), np.shape(train_y[Ntrain:])), \"\\n\")\n",
    "\n",
    "    return train_x[0:Ntrain], train_y[0:Ntrain], train_x[Ntrain:], train_y[Ntrain:]\n",
    "\n",
    "\n",
    "# Visualize the generated data set\n",
    "def data_point_plot(data, label):\n",
    "    \"\"\"\n",
    "    :param data: shape [M, 2], means M 2-D data points\n",
    "    :param label: value 0 or 1\n",
    "    :return: plot these data points\n",
    "    \"\"\"\n",
    "    dim_samples, dim_useless = np.shape(data)\n",
    "    plt.figure(1)\n",
    "    for i in range(dim_samples):\n",
    "        if label[i] == 0:\n",
    "            plt.plot(data[i][0], data[i][1], color=\"r\", marker=\"o\")\n",
    "        elif label[i] == 1:\n",
    "            plt.plot(data[i][0], data[i][1], color=\"b\", marker=\"o\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:03.800472Z",
     "start_time": "2021-01-09T07:57:02.292591Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The dimensions of the training set x (200, 2) and y (200, 1)\n",
      "The dimensions of the test set x (100, 2) and y (100, 1) \n",
      "\n",
      "Visualization of 200 data points in the training set: \n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 386.845312 248.518125\" width=\"386.845312pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2021-01-09T15:57:03.003283</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 248.518125 \n",
       "L 386.845312 248.518125 \n",
       "L 386.845312 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 379.645313 224.64 \n",
       "L 379.645313 7.2 \n",
       "L 44.845313 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m0df2e39c7c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"58.87927\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −1.00 -->\n",
       "      <g transform=\"translate(43.556613 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"97.190332\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −0.75 -->\n",
       "      <g transform=\"translate(81.867676 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"135.501395\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(120.178739 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.812458\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(158.489802 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"212.123521\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(200.990708 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"250.434584\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(239.301771 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"288.745647\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(277.612834 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"327.05671\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(315.923897 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"365.367772\" xlink:href=\"#m0df2e39c7c\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(354.23496 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mecec36f1ce\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"215.275509\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −1.00 -->\n",
       "      <g transform=\"translate(7.2 219.074728)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"190.438687\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- −0.75 -->\n",
       "      <g transform=\"translate(7.2 194.237906)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"165.601865\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(7.2 169.401084)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"140.765042\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(7.2 144.564261)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"115.92822\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(15.579688 119.727439)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"91.091398\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(15.579688 94.890617)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"66.254575\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(15.579688 70.053794)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"41.417753\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(15.579688 45.216972)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mecec36f1ce\" y=\"16.580931\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(15.579688 20.38015)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 182.412304 134.80577 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m8d261a02d7\" style=\"stroke:#ff0000;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"182.412304\" xlink:href=\"#m8d261a02d7\" y=\"134.80577\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 357.404295 136.888804 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"ma9c244b348\" style=\"stroke:#0000ff;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"357.404295\" xlink:href=\"#ma9c244b348\" y=\"136.888804\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 235.677036 142.831932 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"235.677036\" xlink:href=\"#m8d261a02d7\" y=\"142.831932\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 214.739218 118.769172 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"214.739218\" xlink:href=\"#m8d261a02d7\" y=\"118.769172\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 96.384392 58.587825 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"96.384392\" xlink:href=\"#ma9c244b348\" y=\"58.587825\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 291.839179 18.096596 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"291.839179\" xlink:href=\"#ma9c244b348\" y=\"18.096596\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 201.741053 87.052595 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"201.741053\" xlink:href=\"#m8d261a02d7\" y=\"87.052595\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 305.49291 27.718478 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"305.49291\" xlink:href=\"#ma9c244b348\" y=\"27.718478\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 331.313763 50.060816 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"331.313763\" xlink:href=\"#ma9c244b348\" y=\"50.060816\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 124.407543 193.076996 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"124.407543\" xlink:href=\"#ma9c244b348\" y=\"193.076996\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 146.904421 214.756364 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"146.904421\" xlink:href=\"#ma9c244b348\" y=\"214.756364\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 113.303945 45.427453 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"113.303945\" xlink:href=\"#ma9c244b348\" y=\"45.427453\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 361.282813 56.145754 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"361.282813\" xlink:href=\"#ma9c244b348\" y=\"56.145754\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 170.115621 98.747775 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"170.115621\" xlink:href=\"#m8d261a02d7\" y=\"98.747775\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 72.308478 36.058159 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"72.308478\" xlink:href=\"#ma9c244b348\" y=\"36.058159\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_34\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 249.593113 93.804309 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"249.593113\" xlink:href=\"#m8d261a02d7\" y=\"93.804309\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_35\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 95.159441 18.327775 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"95.159441\" xlink:href=\"#ma9c244b348\" y=\"18.327775\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_36\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 122.193978 207.749802 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"122.193978\" xlink:href=\"#ma9c244b348\" y=\"207.749802\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_37\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 192.690056 94.878653 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"192.690056\" xlink:href=\"#m8d261a02d7\" y=\"94.878653\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_38\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 324.840458 46.554786 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"324.840458\" xlink:href=\"#ma9c244b348\" y=\"46.554786\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 229.586874 137.545482 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"229.586874\" xlink:href=\"#m8d261a02d7\" y=\"137.545482\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 309.604967 186.164662 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"309.604967\" xlink:href=\"#ma9c244b348\" y=\"186.164662\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_41\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 62.968855 58.614003 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"62.968855\" xlink:href=\"#ma9c244b348\" y=\"58.614003\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_42\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 192.753906 114.841003 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"192.753906\" xlink:href=\"#m8d261a02d7\" y=\"114.841003\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_43\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 225.057026 211.538659 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"225.057026\" xlink:href=\"#ma9c244b348\" y=\"211.538659\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 76.121784 185.6364 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"76.121784\" xlink:href=\"#ma9c244b348\" y=\"185.6364\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 338.486064 56.772165 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"338.486064\" xlink:href=\"#ma9c244b348\" y=\"56.772165\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 71.248553 157.872888 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"71.248553\" xlink:href=\"#ma9c244b348\" y=\"157.872888\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 258.044135 108.516137 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"258.044135\" xlink:href=\"#m8d261a02d7\" y=\"108.516137\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 231.510714 20.720013 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"231.510714\" xlink:href=\"#ma9c244b348\" y=\"20.720013\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 241.024799 98.768115 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"241.024799\" xlink:href=\"#m8d261a02d7\" y=\"98.768115\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 268.717902 133.145686 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"268.717902\" xlink:href=\"#m8d261a02d7\" y=\"133.145686\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 238.003776 152.745647 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"238.003776\" xlink:href=\"#m8d261a02d7\" y=\"152.745647\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 312.920684 47.362893 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"312.920684\" xlink:href=\"#ma9c244b348\" y=\"47.362893\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 263.510822 130.022234 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"263.510822\" xlink:href=\"#m8d261a02d7\" y=\"130.022234\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 196.934283 17.239859 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"196.934283\" xlink:href=\"#ma9c244b348\" y=\"17.239859\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 331.809882 24.438604 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"331.809882\" xlink:href=\"#ma9c244b348\" y=\"24.438604\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_56\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 167.597812 122.259085 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"167.597812\" xlink:href=\"#m8d261a02d7\" y=\"122.259085\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 347.005726 25.265809 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"347.005726\" xlink:href=\"#ma9c244b348\" y=\"25.265809\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 99.611838 202.671337 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"99.611838\" xlink:href=\"#ma9c244b348\" y=\"202.671337\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 355.110328 200.086303 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"355.110328\" xlink:href=\"#ma9c244b348\" y=\"200.086303\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 250.167905 125.387353 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"250.167905\" xlink:href=\"#m8d261a02d7\" y=\"125.387353\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_61\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 257.833772 94.980084 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"257.833772\" xlink:href=\"#m8d261a02d7\" y=\"94.980084\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_62\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 94.160393 191.540157 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"94.160393\" xlink:href=\"#ma9c244b348\" y=\"191.540157\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_63\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 120.449395 41.304275 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"120.449395\" xlink:href=\"#ma9c244b348\" y=\"41.304275\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 67.618354 25.011798 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"67.618354\" xlink:href=\"#ma9c244b348\" y=\"25.011798\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 104.259038 23.025283 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"104.259038\" xlink:href=\"#ma9c244b348\" y=\"23.025283\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 271.831145 28.146657 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"271.831145\" xlink:href=\"#ma9c244b348\" y=\"28.146657\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 170.526354 139.409279 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"170.526354\" xlink:href=\"#m8d261a02d7\" y=\"139.409279\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 352.380769 176.707895 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"352.380769\" xlink:href=\"#ma9c244b348\" y=\"176.707895\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 111.688008 47.438862 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"111.688008\" xlink:href=\"#ma9c244b348\" y=\"47.438862\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 70.910549 56.833144 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"70.910549\" xlink:href=\"#ma9c244b348\" y=\"56.833144\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 107.341154 36.719231 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"107.341154\" xlink:href=\"#ma9c244b348\" y=\"36.719231\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 311.746496 188.626932 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"311.746496\" xlink:href=\"#ma9c244b348\" y=\"188.626932\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_73\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 96.361555 36.932022 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"96.361555\" xlink:href=\"#ma9c244b348\" y=\"36.932022\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_74\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 268.6027 106.936766 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"268.6027\" xlink:href=\"#m8d261a02d7\" y=\"106.936766\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_75\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 310.708397 22.492712 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"310.708397\" xlink:href=\"#ma9c244b348\" y=\"22.492712\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_76\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 63.932637 116.300828 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"63.932637\" xlink:href=\"#ma9c244b348\" y=\"116.300828\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_77\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 275.048627 130.040431 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"275.048627\" xlink:href=\"#m8d261a02d7\" y=\"130.040431\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_78\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 201.158418 115.777351 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"201.158418\" xlink:href=\"#m8d261a02d7\" y=\"115.777351\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_79\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 247.18244 123.79476 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"247.18244\" xlink:href=\"#m8d261a02d7\" y=\"123.79476\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_80\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 351.77228 50.735817 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"351.77228\" xlink:href=\"#ma9c244b348\" y=\"50.735817\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_81\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 360.513278 130.568575 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"360.513278\" xlink:href=\"#ma9c244b348\" y=\"130.568575\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_82\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 356.478652 143.675778 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.478652\" xlink:href=\"#ma9c244b348\" y=\"143.675778\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_83\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 169.789858 146.720054 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"169.789858\" xlink:href=\"#m8d261a02d7\" y=\"146.720054\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_84\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 328.020482 38.662913 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"328.020482\" xlink:href=\"#ma9c244b348\" y=\"38.662913\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_85\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 341.874449 184.520171 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"341.874449\" xlink:href=\"#ma9c244b348\" y=\"184.520171\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_86\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 96.864326 207.247758 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"96.864326\" xlink:href=\"#ma9c244b348\" y=\"207.247758\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_87\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 279.027073 202.370376 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"279.027073\" xlink:href=\"#ma9c244b348\" y=\"202.370376\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_88\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 341.27348 182.589789 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"341.27348\" xlink:href=\"#ma9c244b348\" y=\"182.589789\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_89\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 102.383665 181.238971 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"102.383665\" xlink:href=\"#ma9c244b348\" y=\"181.238971\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_90\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 254.269485 210.487022 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"254.269485\" xlink:href=\"#ma9c244b348\" y=\"210.487022\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_91\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 149.941425 24.457447 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"149.941425\" xlink:href=\"#ma9c244b348\" y=\"24.457447\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_92\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 203.072616 131.841309 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"203.072616\" xlink:href=\"#m8d261a02d7\" y=\"131.841309\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_93\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 332.691754 173.09897 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"332.691754\" xlink:href=\"#ma9c244b348\" y=\"173.09897\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_94\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 218.080779 137.033852 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"218.080779\" xlink:href=\"#m8d261a02d7\" y=\"137.033852\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_95\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 204.656723 97.086299 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"204.656723\" xlink:href=\"#m8d261a02d7\" y=\"97.086299\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_96\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 209.39627 85.961098 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"209.39627\" xlink:href=\"#m8d261a02d7\" y=\"85.961098\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_97\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 167.45755 213.840093 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"167.45755\" xlink:href=\"#ma9c244b348\" y=\"213.840093\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_98\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 218.497217 111.165637 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"218.497217\" xlink:href=\"#m8d261a02d7\" y=\"111.165637\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_99\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 197.244576 132.768524 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"197.244576\" xlink:href=\"#m8d261a02d7\" y=\"132.768524\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_100\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 272.947835 121.128012 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"272.947835\" xlink:href=\"#m8d261a02d7\" y=\"121.128012\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_101\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 222.987704 83.653507 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"222.987704\" xlink:href=\"#m8d261a02d7\" y=\"83.653507\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_102\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 171.045052 81.479053 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"171.045052\" xlink:href=\"#m8d261a02d7\" y=\"81.479053\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_103\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 86.064388 174.131322 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"86.064388\" xlink:href=\"#ma9c244b348\" y=\"174.131322\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_104\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 159.935282 142.576477 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"159.935282\" xlink:href=\"#m8d261a02d7\" y=\"142.576477\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_105\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 150.102384 203.617971 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"150.102384\" xlink:href=\"#ma9c244b348\" y=\"203.617971\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_106\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 288.76131 20.934235 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.76131\" xlink:href=\"#ma9c244b348\" y=\"20.934235\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_107\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 185.702832 78.221159 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"185.702832\" xlink:href=\"#m8d261a02d7\" y=\"78.221159\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_108\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 353.881152 158.102641 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"353.881152\" xlink:href=\"#ma9c244b348\" y=\"158.102641\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_109\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 356.497552 65.506235 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.497552\" xlink:href=\"#ma9c244b348\" y=\"65.506235\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_110\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 207.567456 125.558331 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"207.567456\" xlink:href=\"#m8d261a02d7\" y=\"125.558331\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_111\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 334.565473 206.166889 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"334.565473\" xlink:href=\"#ma9c244b348\" y=\"206.166889\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_112\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 241.93548 110.240125 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"241.93548\" xlink:href=\"#m8d261a02d7\" y=\"110.240125\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_113\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 250.442586 127.783409 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"250.442586\" xlink:href=\"#m8d261a02d7\" y=\"127.783409\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_114\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 64.363099 22.626141 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"64.363099\" xlink:href=\"#ma9c244b348\" y=\"22.626141\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_115\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 241.426164 132.016058 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"241.426164\" xlink:href=\"#m8d261a02d7\" y=\"132.016058\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_116\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 338.449251 165.493153 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"338.449251\" xlink:href=\"#ma9c244b348\" y=\"165.493153\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_117\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 186.706581 85.925722 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"186.706581\" xlink:href=\"#m8d261a02d7\" y=\"85.925722\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_118\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 344.541912 180.400646 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"344.541912\" xlink:href=\"#ma9c244b348\" y=\"180.400646\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_119\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 356.558673 48.475635 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.558673\" xlink:href=\"#ma9c244b348\" y=\"48.475635\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_120\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 346.023285 70.329018 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"346.023285\" xlink:href=\"#ma9c244b348\" y=\"70.329018\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_121\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 269.839964 20.230812 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"269.839964\" xlink:href=\"#ma9c244b348\" y=\"20.230812\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_122\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 332.940164 37.472299 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"332.940164\" xlink:href=\"#ma9c244b348\" y=\"37.472299\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_123\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 60.811972 174.933604 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"60.811972\" xlink:href=\"#ma9c244b348\" y=\"174.933604\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_124\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 64.931886 151.289686 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"64.931886\" xlink:href=\"#ma9c244b348\" y=\"151.289686\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_125\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 196.055531 81.020617 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"196.055531\" xlink:href=\"#m8d261a02d7\" y=\"81.020617\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_126\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 347.698623 45.929867 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"347.698623\" xlink:href=\"#ma9c244b348\" y=\"45.929867\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_127\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 204.062954 77.66204 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"204.062954\" xlink:href=\"#m8d261a02d7\" y=\"77.66204\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_128\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 276.560422 122.341252 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"276.560422\" xlink:href=\"#m8d261a02d7\" y=\"122.341252\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_129\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 190.244263 95.462784 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"190.244263\" xlink:href=\"#m8d261a02d7\" y=\"95.462784\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_130\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 164.883691 88.814813 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"164.883691\" xlink:href=\"#m8d261a02d7\" y=\"88.814813\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_131\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 346.074692 64.124411 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"346.074692\" xlink:href=\"#ma9c244b348\" y=\"64.124411\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_132\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 82.688682 187.022308 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"82.688682\" xlink:href=\"#ma9c244b348\" y=\"187.022308\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_133\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 351.408783 36.093997 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"351.408783\" xlink:href=\"#ma9c244b348\" y=\"36.093997\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_134\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 95.072126 20.263936 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"95.072126\" xlink:href=\"#ma9c244b348\" y=\"20.263936\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_135\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 358.805454 45.796048 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"358.805454\" xlink:href=\"#ma9c244b348\" y=\"45.796048\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_136\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 324.024708 21.52818 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"324.024708\" xlink:href=\"#ma9c244b348\" y=\"21.52818\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_137\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 317.518015 192.632703 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"317.518015\" xlink:href=\"#ma9c244b348\" y=\"192.632703\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_138\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 310.065512 208.050763 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"310.065512\" xlink:href=\"#ma9c244b348\" y=\"208.050763\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_139\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 312.126242 206.048925 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"312.126242\" xlink:href=\"#ma9c244b348\" y=\"206.048925\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_140\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 242.849665 143.016117 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"242.849665\" xlink:href=\"#m8d261a02d7\" y=\"143.016117\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_141\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 149.376959 123.201747 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"149.376959\" xlink:href=\"#m8d261a02d7\" y=\"123.201747\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_142\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 194.781292 97.29777 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"194.781292\" xlink:href=\"#m8d261a02d7\" y=\"97.29777\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_143\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 184.676642 96.0922 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"184.676642\" xlink:href=\"#m8d261a02d7\" y=\"96.0922\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_144\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 79.097912 53.69454 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"79.097912\" xlink:href=\"#ma9c244b348\" y=\"53.69454\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_145\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 292.899751 195.454313 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"292.899751\" xlink:href=\"#ma9c244b348\" y=\"195.454313\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_146\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 270.709033 105.276417 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"270.709033\" xlink:href=\"#m8d261a02d7\" y=\"105.276417\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_147\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 120.763863 19.965576 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"120.763863\" xlink:href=\"#ma9c244b348\" y=\"19.965576\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_148\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 355.753116 197.436742 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"355.753116\" xlink:href=\"#ma9c244b348\" y=\"197.436742\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_149\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 141.497839 214.008261 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"141.497839\" xlink:href=\"#ma9c244b348\" y=\"214.008261\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_150\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 94.763422 20.702706 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"94.763422\" xlink:href=\"#ma9c244b348\" y=\"20.702706\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_151\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 238.115767 99.730079 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"238.115767\" xlink:href=\"#m8d261a02d7\" y=\"99.730079\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_152\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 252.812692 22.661359 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"252.812692\" xlink:href=\"#ma9c244b348\" y=\"22.661359\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_153\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 249.314915 111.076018 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"249.314915\" xlink:href=\"#m8d261a02d7\" y=\"111.076018\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_154\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 359.838863 83.873004 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"359.838863\" xlink:href=\"#ma9c244b348\" y=\"83.873004\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_155\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 315.455726 201.736671 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"315.455726\" xlink:href=\"#ma9c244b348\" y=\"201.736671\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_156\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 115.527416 214.173391 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"115.527416\" xlink:href=\"#ma9c244b348\" y=\"214.173391\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_157\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 156.291551 19.231876 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"156.291551\" xlink:href=\"#ma9c244b348\" y=\"19.231876\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_158\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 67.456802 27.047978 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"67.456802\" xlink:href=\"#ma9c244b348\" y=\"27.047978\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_159\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 355.764355 185.401278 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"355.764355\" xlink:href=\"#ma9c244b348\" y=\"185.401278\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_160\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 60.063494 174.090094 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"60.063494\" xlink:href=\"#ma9c244b348\" y=\"174.090094\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_161\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 267.88485 115.168153 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"267.88485\" xlink:href=\"#m8d261a02d7\" y=\"115.168153\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_162\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 334.750467 44.188414 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"334.750467\" xlink:href=\"#ma9c244b348\" y=\"44.188414\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_163\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 363.362084 68.054632 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"363.362084\" xlink:href=\"#ma9c244b348\" y=\"68.054632\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_164\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 185.967074 147.609378 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"185.967074\" xlink:href=\"#m8d261a02d7\" y=\"147.609378\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_165\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 362.895461 54.872966 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"362.895461\" xlink:href=\"#ma9c244b348\" y=\"54.872966\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_166\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 347.228919 171.716789 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"347.228919\" xlink:href=\"#ma9c244b348\" y=\"171.716789\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_167\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 274.386225 108.422944 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"274.386225\" xlink:href=\"#m8d261a02d7\" y=\"108.422944\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_168\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 172.485491 95.504051 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"172.485491\" xlink:href=\"#m8d261a02d7\" y=\"95.504051\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_169\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 319.595776 37.885887 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"319.595776\" xlink:href=\"#ma9c244b348\" y=\"37.885887\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_170\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 214.301086 143.040145 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"214.301086\" xlink:href=\"#m8d261a02d7\" y=\"143.040145\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_171\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 337.487416 31.668945 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"337.487416\" xlink:href=\"#ma9c244b348\" y=\"31.668945\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_172\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 176.221945 105.88726 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"176.221945\" xlink:href=\"#m8d261a02d7\" y=\"105.88726\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_173\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 344.796726 17.148763 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"344.796726\" xlink:href=\"#ma9c244b348\" y=\"17.148763\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_174\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 66.009992 26.843508 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"66.009992\" xlink:href=\"#ma9c244b348\" y=\"26.843508\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_175\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 96.458497 18.918573 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"96.458497\" xlink:href=\"#ma9c244b348\" y=\"18.918573\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_176\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 125.327866 30.985064 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"125.327866\" xlink:href=\"#ma9c244b348\" y=\"30.985064\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_177\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 68.424047 179.631036 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"68.424047\" xlink:href=\"#ma9c244b348\" y=\"179.631036\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_178\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 186.159561 98.759355 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"186.159561\" xlink:href=\"#m8d261a02d7\" y=\"98.759355\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_179\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 249.996216 97.508227 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"249.996216\" xlink:href=\"#m8d261a02d7\" y=\"97.508227\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_180\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 195.873078 98.962377 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"195.873078\" xlink:href=\"#m8d261a02d7\" y=\"98.962377\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_181\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 162.875673 108.394458 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"162.875673\" xlink:href=\"#m8d261a02d7\" y=\"108.394458\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_182\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 265.946666 116.807966 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"265.946666\" xlink:href=\"#m8d261a02d7\" y=\"116.807966\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_183\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 230.711164 137.243826 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"230.711164\" xlink:href=\"#m8d261a02d7\" y=\"137.243826\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_184\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 288.837499 208.724886 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.837499\" xlink:href=\"#ma9c244b348\" y=\"208.724886\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_185\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 356.964209 57.307117 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.964209\" xlink:href=\"#ma9c244b348\" y=\"57.307117\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_186\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 364.427131 150.394347 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"364.427131\" xlink:href=\"#ma9c244b348\" y=\"150.394347\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_187\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 231.926897 91.692704 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"231.926897\" xlink:href=\"#m8d261a02d7\" y=\"91.692704\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_188\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 68.491748 179.750622 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"68.491748\" xlink:href=\"#ma9c244b348\" y=\"179.750622\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_189\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 70.987454 78.835509 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"70.987454\" xlink:href=\"#ma9c244b348\" y=\"78.835509\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_190\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 251.731357 148.147579 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"251.731357\" xlink:href=\"#m8d261a02d7\" y=\"148.147579\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_191\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 351.315321 164.641077 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"351.315321\" xlink:href=\"#ma9c244b348\" y=\"164.641077\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_192\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 214.81765 92.064539 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"214.81765\" xlink:href=\"#m8d261a02d7\" y=\"92.064539\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_193\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 357.621209 167.490473 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"357.621209\" xlink:href=\"#ma9c244b348\" y=\"167.490473\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_194\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 155.935822 97.334673 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"155.935822\" xlink:href=\"#m8d261a02d7\" y=\"97.334673\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_195\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 96.830722 191.79587 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"96.830722\" xlink:href=\"#ma9c244b348\" y=\"191.79587\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_196\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 268.068103 212.82148 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"268.068103\" xlink:href=\"#ma9c244b348\" y=\"212.82148\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_197\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 156.40837 121.107663 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"156.40837\" xlink:href=\"#m8d261a02d7\" y=\"121.107663\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_198\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 210.512883 126.468817 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"210.512883\" xlink:href=\"#m8d261a02d7\" y=\"126.468817\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_199\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 330.230932 173.782144 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"330.230932\" xlink:href=\"#ma9c244b348\" y=\"173.782144\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_200\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 169.766263 96.612481 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"169.766263\" xlink:href=\"#m8d261a02d7\" y=\"96.612481\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_201\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 310.50613 17.083636 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"310.50613\" xlink:href=\"#ma9c244b348\" y=\"17.083636\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_202\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 338.819953 22.104317 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"338.819953\" xlink:href=\"#ma9c244b348\" y=\"22.104317\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_203\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 88.532005 63.922081 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"88.532005\" xlink:href=\"#ma9c244b348\" y=\"63.922081\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_204\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 345.712369 71.963108 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"345.712369\" xlink:href=\"#ma9c244b348\" y=\"71.963108\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_205\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 318.041709 199.335801 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"318.041709\" xlink:href=\"#ma9c244b348\" y=\"199.335801\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_206\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 170.852133 150.300732 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"170.852133\" xlink:href=\"#m8d261a02d7\" y=\"150.300732\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_207\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 200.710271 121.889755 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"200.710271\" xlink:href=\"#m8d261a02d7\" y=\"121.889755\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_208\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 78.516021 174.255985 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"78.516021\" xlink:href=\"#ma9c244b348\" y=\"174.255985\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_209\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 84.399597 188.928418 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"84.399597\" xlink:href=\"#ma9c244b348\" y=\"188.928418\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_210\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 309.364269 197.958638 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"309.364269\" xlink:href=\"#ma9c244b348\" y=\"197.958638\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_211\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 362.652268 144.47728 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"362.652268\" xlink:href=\"#ma9c244b348\" y=\"144.47728\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_212\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 267.55494 203.863588 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"267.55494\" xlink:href=\"#ma9c244b348\" y=\"203.863588\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_213\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 307.961591 40.764437 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"307.961591\" xlink:href=\"#ma9c244b348\" y=\"40.764437\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_214\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 270.913853 17.105948 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"270.913853\" xlink:href=\"#ma9c244b348\" y=\"17.105948\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_215\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 315.058286 188.959461 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"315.058286\" xlink:href=\"#ma9c244b348\" y=\"188.959461\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_216\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 197.31024 92.74273 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"197.31024\" xlink:href=\"#m8d261a02d7\" y=\"92.74273\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_217\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 73.02133 50.087277 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"73.02133\" xlink:href=\"#ma9c244b348\" y=\"50.087277\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_218\">\n",
       "    <path clip-path=\"url(#p3d2b09c380)\" d=\"M 232.78544 94.717379 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p3d2b09c380)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"232.78544\" xlink:href=\"#m8d261a02d7\" y=\"94.717379\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 44.845313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 379.645313 224.64 \n",
       "L 379.645313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 379.645313 224.64 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 44.845313 7.2 \n",
       "L 379.645313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p3d2b09c380\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"44.845313\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Visualization of 100 data points in the test set: \n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 386.845313 248.518125\" width=\"386.845313pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2021-01-09T15:57:03.559612</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 248.518125 \n",
       "L 386.845313 248.518125 \n",
       "L 386.845313 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 379.645313 224.64 \n",
       "L 379.645313 7.2 \n",
       "L 44.845313 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m3eb35d3afc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"59.675511\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −1.00 -->\n",
       "      <g transform=\"translate(44.352854 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"97.939129\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −0.75 -->\n",
       "      <g transform=\"translate(82.616473 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"136.202748\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(120.880091 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"174.466366\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(159.14371 239.238437)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"212.729984\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(201.597172 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"250.993603\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(239.86079 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.257221\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(278.124409 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"327.52084\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(316.388027 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"365.784458\" xlink:href=\"#m3eb35d3afc\" y=\"224.64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(354.651645 239.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mee062752f9\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"216.486486\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −1.00 -->\n",
       "      <g transform=\"translate(7.2 220.285704)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"191.490406\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- −0.75 -->\n",
       "      <g transform=\"translate(7.2 195.289625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"166.494327\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(7.2 170.293545)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"141.498247\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(7.2 145.297466)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"116.502168\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(15.579688 120.301387)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"91.506088\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(15.579688 95.305307)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"66.510009\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(15.579688 70.309228)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"41.51393\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(15.579688 45.313148)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#mee062752f9\" y=\"16.51785\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(15.579688 20.317069)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 94.360265 49.800853 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m8a6625077e\" style=\"stroke:#0000ff;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"94.360265\" xlink:href=\"#m8a6625077e\" y=\"49.800853\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 186.978982 150.102833 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"mdd4027eeba\" style=\"stroke:#ff0000;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"186.978982\" xlink:href=\"#mdd4027eeba\" y=\"150.102833\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 95.094559 44.106609 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"95.094559\" xlink:href=\"#m8a6625077e\" y=\"44.106609\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 314.710307 36.804664 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"314.710307\" xlink:href=\"#m8a6625077e\" y=\"36.804664\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 323.311824 20.683014 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"323.311824\" xlink:href=\"#m8a6625077e\" y=\"20.683014\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 84.572647 214.291097 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"84.572647\" xlink:href=\"#m8a6625077e\" y=\"214.291097\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 229.648225 82.58761 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"229.648225\" xlink:href=\"#mdd4027eeba\" y=\"82.58761\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 60.063494 176.271648 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"60.063494\" xlink:href=\"#m8a6625077e\" y=\"176.271648\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 197.305173 101.604893 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"197.305173\" xlink:href=\"#mdd4027eeba\" y=\"101.604893\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 342.181556 56.795048 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"342.181556\" xlink:href=\"#m8a6625077e\" y=\"56.795048\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 191.774443 212.647023 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"191.774443\" xlink:href=\"#m8a6625077e\" y=\"212.647023\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 357.851065 130.003033 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"357.851065\" xlink:href=\"#m8a6625077e\" y=\"130.003033\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 67.660109 93.507554 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"67.660109\" xlink:href=\"#m8a6625077e\" y=\"93.507554\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 71.544014 43.458222 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"71.544014\" xlink:href=\"#m8a6625077e\" y=\"43.458222\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 73.918481 149.036444 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"73.918481\" xlink:href=\"#m8a6625077e\" y=\"149.036444\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_34\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 321.661879 196.382438 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"321.661879\" xlink:href=\"#m8a6625077e\" y=\"196.382438\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_35\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 342.056904 59.797653 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"342.056904\" xlink:href=\"#m8a6625077e\" y=\"59.797653\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_36\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 151.771641 23.145238 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"151.771641\" xlink:href=\"#m8a6625077e\" y=\"23.145238\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_37\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 315.786268 24.289792 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"315.786268\" xlink:href=\"#m8a6625077e\" y=\"24.289792\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_38\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 362.938894 96.87905 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"362.938894\" xlink:href=\"#m8a6625077e\" y=\"96.87905\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 177.239896 152.972573 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"177.239896\" xlink:href=\"#mdd4027eeba\" y=\"152.972573\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 331.483238 22.620785 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"331.483238\" xlink:href=\"#m8a6625077e\" y=\"22.620785\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_41\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 357.78478 127.880135 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"357.78478\" xlink:href=\"#m8a6625077e\" y=\"127.880135\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_42\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 244.211507 105.365417 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"244.211507\" xlink:href=\"#mdd4027eeba\" y=\"105.365417\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_43\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 64.04719 160.828603 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"64.04719\" xlink:href=\"#m8a6625077e\" y=\"160.828603\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 126.668717 20.50302 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"126.668717\" xlink:href=\"#m8a6625077e\" y=\"20.50302\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 77.96693 65.465003 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"77.96693\" xlink:href=\"#m8a6625077e\" y=\"65.465003\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 237.24445 152.808514 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"237.24445\" xlink:href=\"#mdd4027eeba\" y=\"152.808514\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 210.498403 129.684127 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"210.498403\" xlink:href=\"#mdd4027eeba\" y=\"129.684127\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 259.70402 94.699953 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"259.70402\" xlink:href=\"#mdd4027eeba\" y=\"94.699953\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 92.149078 174.127074 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"92.149078\" xlink:href=\"#m8a6625077e\" y=\"174.127074\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 87.994667 31.23715 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"87.994667\" xlink:href=\"#m8a6625077e\" y=\"31.23715\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 344.926259 38.701538 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"344.926259\" xlink:href=\"#m8a6625077e\" y=\"38.701538\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 345.509043 202.842755 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"345.509043\" xlink:href=\"#m8a6625077e\" y=\"202.842755\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 261.758821 96.125941 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"261.758821\" xlink:href=\"#mdd4027eeba\" y=\"96.125941\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 223.343445 79.867953 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"223.343445\" xlink:href=\"#mdd4027eeba\" y=\"79.867953\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 267.331068 214.589038 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"267.331068\" xlink:href=\"#m8a6625077e\" y=\"214.589038\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_56\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 63.86082 23.385047 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"63.86082\" xlink:href=\"#m8a6625077e\" y=\"23.385047\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 234.425299 119.402558 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"234.425299\" xlink:href=\"#mdd4027eeba\" y=\"119.402558\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 252.323861 110.809164 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"252.323861\" xlink:href=\"#mdd4027eeba\" y=\"110.809164\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 360.497763 146.972833 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"360.497763\" xlink:href=\"#m8a6625077e\" y=\"146.972833\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 109.813496 204.479557 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"109.813496\" xlink:href=\"#m8a6625077e\" y=\"204.479557\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_61\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 268.947205 130.114106 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"268.947205\" xlink:href=\"#mdd4027eeba\" y=\"130.114106\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_62\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 179.914824 133.262815 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"179.914824\" xlink:href=\"#mdd4027eeba\" y=\"133.262815\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_63\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 319.249771 201.884703 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"319.249771\" xlink:href=\"#m8a6625077e\" y=\"201.884703\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 242.641957 91.723501 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"242.641957\" xlink:href=\"#mdd4027eeba\" y=\"91.723501\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 171.697338 89.724515 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"171.697338\" xlink:href=\"#mdd4027eeba\" y=\"89.724515\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 213.436928 111.490443 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"213.436928\" xlink:href=\"#mdd4027eeba\" y=\"111.490443\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 240.285524 92.80524 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"240.285524\" xlink:href=\"#mdd4027eeba\" y=\"92.80524\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 356.672662 135.320568 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.672662\" xlink:href=\"#m8a6625077e\" y=\"135.320568\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 171.215077 122.150527 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"171.215077\" xlink:href=\"#mdd4027eeba\" y=\"122.150527\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 68.99113 46.468798 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"68.99113\" xlink:href=\"#m8a6625077e\" y=\"46.468798\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 264.073372 17.083636 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"264.073372\" xlink:href=\"#m8a6625077e\" y=\"17.083636\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 202.812007 81.782017 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"202.812007\" xlink:href=\"#mdd4027eeba\" y=\"81.782017\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_73\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 350.782124 64.284874 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"350.782124\" xlink:href=\"#m8a6625077e\" y=\"64.284874\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_74\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 261.618866 21.506402 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"261.618866\" xlink:href=\"#m8a6625077e\" y=\"21.506402\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_75\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 351.851613 20.369507 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"351.851613\" xlink:href=\"#m8a6625077e\" y=\"20.369507\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_76\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 68.368862 30.285135 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"68.368862\" xlink:href=\"#m8a6625077e\" y=\"30.285135\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_77\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 109.902401 187.154031 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"109.902401\" xlink:href=\"#m8a6625077e\" y=\"187.154031\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_78\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 66.589325 132.013989 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"66.589325\" xlink:href=\"#m8a6625077e\" y=\"132.013989\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_79\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 129.00955 207.119979 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"129.00955\" xlink:href=\"#m8a6625077e\" y=\"207.119979\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_80\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 349.718633 182.346393 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"349.718633\" xlink:href=\"#m8a6625077e\" y=\"182.346393\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_81\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 180.229201 90.376069 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"180.229201\" xlink:href=\"#mdd4027eeba\" y=\"90.376069\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_82\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 293.646197 32.068976 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"293.646197\" xlink:href=\"#m8a6625077e\" y=\"32.068976\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_83\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 193.589849 105.596298 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"193.589849\" xlink:href=\"#mdd4027eeba\" y=\"105.596298\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_84\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 87.737107 22.395156 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"87.737107\" xlink:href=\"#m8a6625077e\" y=\"22.395156\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_85\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 214.701996 96.241649 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"214.701996\" xlink:href=\"#mdd4027eeba\" y=\"96.241649\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_86\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 354.893572 201.672037 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"354.893572\" xlink:href=\"#m8a6625077e\" y=\"201.672037\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_87\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 213.257684 128.950975 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"213.257684\" xlink:href=\"#mdd4027eeba\" y=\"128.950975\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_88\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 356.604818 199.344614 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"356.604818\" xlink:href=\"#m8a6625077e\" y=\"199.344614\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_89\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 158.138563 205.88181 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"158.138563\" xlink:href=\"#m8a6625077e\" y=\"205.88181\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_90\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 209.129858 141.060502 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"209.129858\" xlink:href=\"#mdd4027eeba\" y=\"141.060502\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_91\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 285.416073 26.401037 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"285.416073\" xlink:href=\"#m8a6625077e\" y=\"26.401037\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_92\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 136.460059 212.197445 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"136.460059\" xlink:href=\"#m8a6625077e\" y=\"212.197445\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_93\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 338.741136 177.427004 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"338.741136\" xlink:href=\"#m8a6625077e\" y=\"177.427004\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_94\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 73.825933 199.140787 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"73.825933\" xlink:href=\"#m8a6625077e\" y=\"199.140787\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_95\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 216.4115 73.059871 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"216.4115\" xlink:href=\"#mdd4027eeba\" y=\"73.059871\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_96\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 82.766225 160.292652 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"82.766225\" xlink:href=\"#m8a6625077e\" y=\"160.292652\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_97\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 328.287451 199.69078 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"328.287451\" xlink:href=\"#m8a6625077e\" y=\"199.69078\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_98\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 223.456764 87.804072 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"223.456764\" xlink:href=\"#mdd4027eeba\" y=\"87.804072\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_99\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 361.794067 49.176934 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"361.794067\" xlink:href=\"#m8a6625077e\" y=\"49.176934\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_100\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 125.471238 197.997745 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"125.471238\" xlink:href=\"#m8a6625077e\" y=\"197.997745\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_101\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 176.461887 84.761938 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"176.461887\" xlink:href=\"#mdd4027eeba\" y=\"84.761938\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_102\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 361.806234 89.64655 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"361.806234\" xlink:href=\"#m8a6625077e\" y=\"89.64655\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_103\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 83.321344 173.737268 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"83.321344\" xlink:href=\"#m8a6625077e\" y=\"173.737268\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_104\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 86.036089 19.265585 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"86.036089\" xlink:href=\"#m8a6625077e\" y=\"19.265585\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_105\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 223.17273 20.664605 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"223.17273\" xlink:href=\"#m8a6625077e\" y=\"20.664605\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_106\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 348.823401 22.631919 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"348.823401\" xlink:href=\"#m8a6625077e\" y=\"22.631919\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_107\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 307.685858 212.707961 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"307.685858\" xlink:href=\"#m8a6625077e\" y=\"212.707961\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_108\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 158.685717 210.859362 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"158.685717\" xlink:href=\"#m8a6625077e\" y=\"210.859362\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_109\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 75.957623 198.563011 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"75.957623\" xlink:href=\"#m8a6625077e\" y=\"198.563011\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_110\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 90.499472 178.387399 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"90.499472\" xlink:href=\"#m8a6625077e\" y=\"178.387399\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_111\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 255.979972 212.059644 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"255.979972\" xlink:href=\"#m8a6625077e\" y=\"212.059644\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_112\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 175.031406 126.71325 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"175.031406\" xlink:href=\"#mdd4027eeba\" y=\"126.71325\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_113\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 364.427131 182.406237 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"364.427131\" xlink:href=\"#m8a6625077e\" y=\"182.406237\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_114\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 279.60806 115.368745 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"279.60806\" xlink:href=\"#mdd4027eeba\" y=\"115.368745\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_115\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 112.990599 31.19807 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"112.990599\" xlink:href=\"#m8a6625077e\" y=\"31.19807\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_116\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 360.366601 214.756364 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"360.366601\" xlink:href=\"#m8a6625077e\" y=\"214.756364\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_117\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 100.5572 32.6823 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"100.5572\" xlink:href=\"#m8a6625077e\" y=\"32.6823\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_118\">\n",
       "    <path clip-path=\"url(#p12a7842cf6)\" d=\"M 330.169962 196.315046 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#p12a7842cf6)\">\n",
       "     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"330.169962\" xlink:href=\"#m8a6625077e\" y=\"196.315046\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 44.845313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 379.645313 224.64 \n",
       "L 379.645313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 44.845313 224.64 \n",
       "L 379.645313 224.64 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 44.845313 7.2 \n",
       "L 379.645313 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p12a7842cf6\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"44.845313\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " You may wish to adjust the parameter settings to generate your own data set!\n"
     ]
    }
   ],
   "source": [
    "# Set parameters\n",
    "Ntrain=200       # Specify the training set size\n",
    "Ntest=100        # Specify the test set size\n",
    "boundary_gap=0.5 # Set the width of the decision boundary\n",
    "seed_data=2      # Fixed random seed\n",
    "\n",
    "# Generate data set\n",
    "train_x, train_y, test_x, test_y = circle_data_point_generator(\n",
    "        Ntrain, Ntest, boundary_gap, seed_data)\n",
    "print(\"Visualization of {} data points in the training set: \".format(Ntrain))\n",
    "data_point_plot(train_x, train_y)\n",
    "print(\"Visualization of {} data points in the test set: \".format(Ntest))\n",
    "data_point_plot(test_x, test_y)\n",
    "print(\"\\n You may wish to adjust the parameter settings to generate your own data set!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data preprocessing\n",
    "Different from classical machine learning, quantum classifiers need to consider data preprocessing heavily. We need one more step to convert classical data into quantum information before running on a quantum computer. Now let's take a look at how it can be done. First, we determine the number of qubits that need to be used. Because our data $\\{x^{(i)} = (x^{(i)}_0, x^{(i)}_1)\\}$ is two-dimensional, according to the paper by Mitarai (2018) we need at least 2 qubits for encoding. Then prepare a group of initial quantum states $|00\\rangle$. Encode the classical information $\\{x^{(i)}\\}$ into a group of quantum gates $U(x^{(i)})$ and act them on the initial quantum states. Finally we get a group of quantum states $|\\psi^{(i)}\\rangle = U(x^{(i)})|00\\rangle$. In this way, we have completed the encoding from classical information into quantum information! Given $m$ qubits to encode a two-dimensional classical data point, the quantum gate is:\n",
    "\n",
    "$$\n",
    "U(x^{(i)}) = \\otimes_{j=0}^{m-1} R_j^z\\big[\\arccos(x^{(i)}_{j \\, \\text{mod} \\, 2}\\cdot x^{(i)}_{j \\, \\text{mod} \\, 2})\\big] R_j^y\\big[\\arcsin(x^{(i)}_{j \\, \\text{mod} \\, 2}) \\big],\n",
    "\\tag{2}\n",
    "$$\n",
    "\n",
    "**Note:** In this representation, we count the first qubit as $j = 0$. For more encoding methods, see [Robust data encodings for quantum classifiers](https://arxiv.org/pdf/2003.01695.pdf). Here we also encourage readers to try new encoding methods by themselves!\n",
    "\n",
    "Since this encoding method looks quite complicated, we might as well give a simple example. Suppose we are given a data point $x = (x_0, x_1)= (1,0)$. The label of this data point should be 1, corresponding to the **blue** point in the figure above. At the same time, the 2-qubit quantum gate $U(x)$ corresponding to the data point is,\n",
    "\n",
    "$$\n",
    "U(x) =\n",
    "\\bigg( R_0^z\\big[\\arccos(x_{0}\\cdot x_{0})\\big] R_0^y\\big[\\arcsin(x_{0}) \\big] \\bigg)\n",
    "\\otimes\n",
    "\\bigg( R_1^z\\big[\\arccos(x_{1}\\cdot x_{1})\\big] R_1^y\\big[\\arcsin(x_{1}) \\big] \\bigg),\n",
    "\\tag{3}\n",
    "$$\n",
    "\n",
    "Substituting in specific values, we get:\n",
    "\n",
    "$$\n",
    "U(x) =\n",
    "\\bigg( R_0^z\\big[0\\big] R_0^y\\big[\\pi/2 \\big] \\bigg)\n",
    "\\otimes\n",
    "\\bigg( R_1^z\\big[\\pi/2\\big] R_1^y\\big[0 \\big] \\bigg),\n",
    "\\tag{4}\n",
    "$$\n",
    "\n",
    "Recall the matrix form of rotation gates:\n",
    "\n",
    "$$\n",
    "R_x(\\theta) :=\n",
    "\\begin{bmatrix}\n",
    "\\cos \\frac{\\theta}{2} &-i\\sin \\frac{\\theta}{2} \\\\\n",
    "-i\\sin \\frac{\\theta}{2} &\\cos \\frac{\\theta}{2}\n",
    "\\end{bmatrix}\n",
    ",\\quad\n",
    "R_y(\\theta) :=\n",
    "\\begin{bmatrix}\n",
    "\\cos \\frac{\\theta}{2} &-\\sin \\frac{\\theta}{2} \\\\\n",
    "\\sin \\frac{\\theta}{2} &\\cos \\frac{\\theta}{2}\n",
    "\\end{bmatrix}\n",
    ",\\quad\n",
    "R_z(\\theta) :=\n",
    "\\begin{bmatrix}\n",
    "e^{-i\\frac{\\theta}{2}} & 0 \\\\\n",
    "0 & e^{i\\frac{\\theta}{2}}\n",
    "\\end{bmatrix}.\n",
    "\\tag{5}\n",
    "$$\n",
    "\n",
    "Then the matrix form of the two-qubit quantum gate $U(x)$ can be written as\n",
    "\n",
    "$$\n",
    "U(x) = \n",
    "\\bigg(\n",
    "\\begin{bmatrix}\n",
    "1 & 0 \\\\ \n",
    "0 & 1\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "\\cos \\frac{\\pi}{4} &-\\sin \\frac{\\pi}{4} \\\\ \n",
    "\\sin \\frac{\\pi}{4} &\\cos \\frac{\\pi}{4} \n",
    "\\end{bmatrix}\n",
    "\\bigg)\n",
    "\\otimes \n",
    "\\bigg(\n",
    "\\begin{bmatrix}\n",
    "e^{-i\\frac{\\pi}{4}} & 0 \\\\ \n",
    "0 & e^{i\\frac{\\pi}{4}}\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "1 &0 \\\\ \n",
    "0 &1\n",
    "\\end{bmatrix}\n",
    "\\bigg),\n",
    "\\tag{6}\n",
    "$$\n",
    "\n",
    "After simplification, we can get the encoded quantum state $|\\psi\\rangle$ by acting the quantum gate on the initialized quantum state $|00\\rangle$,\n",
    "\n",
    "$$\n",
    "|\\psi\\rangle =\n",
    "U(x)|00\\rangle = \\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "1-i &0 &-1+i &0 \\\\\n",
    "0 &1+i &0 &-1-i \\\\\n",
    "1-i &0 &1-i &0 \\\\\n",
    "0 &1+i &0 &1+i\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "1 \\\\\n",
    "0 \\\\\n",
    "0 \\\\\n",
    "0\n",
    "\\end{bmatrix}\n",
    "= \\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "1-i \\\\\n",
    "0 \\\\\n",
    "1-i \\\\\n",
    "0\n",
    "\\end{bmatrix}.\n",
    "\\tag{7}\n",
    "$$\n",
    "\n",
    "Then let us take a look at how to implement this encoding method in Paddle Quantum. Note that in the code, we use the following trick: \n",
    "\n",
    "$$\n",
    "(U_1 |0\\rangle)\\otimes (U_2 |0\\rangle) = (U_1 \\otimes U_2) |0\\rangle\\otimes|0\\rangle\n",
    "= (U_1 \\otimes U_2) |00\\rangle.\n",
    "\\tag{8}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:03.843138Z",
     "start_time": "2021-01-09T07:57:03.815273Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "As a test, we enter the classical information:\n",
      "(x_0, x_1) = (1, 0)\n",
      "The 2-qubit quantum state output after encoding is:\n",
      "[[[0.5-0.5j 0. +0.j  0.5-0.5j 0. +0.j ]]]\n"
     ]
    }
   ],
   "source": [
    "def myRy(theta):\n",
    "    \"\"\"\n",
    "    :param theta: parameter\n",
    "    :return: Y rotation matrix\n",
    "    \"\"\"\n",
    "    return np.array([[np.cos(theta/2), -np.sin(theta/2)],\n",
    "                     [np.sin(theta/2), np.cos(theta/2)]])\n",
    "\n",
    "def myRz(theta):\n",
    "    \"\"\"\n",
    "    :param theta: parameter\n",
    "    :return: Z rotation matrix\n",
    "    \"\"\"\n",
    "    return np.array([[np.cos(theta/2)-np.sin(theta/2) * 1j, 0],\n",
    "                     [0, np.cos(theta/2) + np.sin(theta/2) * 1j]])\n",
    "\n",
    "# Classical -> Quantum Data Encoder\n",
    "def datapoints_transform_to_state(data, n_qubits):\n",
    "    \"\"\"\n",
    "    :param data: shape [-1, 2]\n",
    "    :param n_qubits: the number of qubits to which\n",
    "    the data transformed\n",
    "    :return: shape [-1, 1, 2 ^ n_qubits]\n",
    "    \"\"\"\n",
    "    dim1, dim2 = data.shape\n",
    "    res = []\n",
    "    for sam in range(dim1):\n",
    "        res_state = 1.\n",
    "        zero_state = np.array([[1, 0]])\n",
    "        for i in range(n_qubits):\n",
    "            if i % 2 == 0:\n",
    "                state_tmp=np.dot(zero_state, myRy(np.arcsin(data[sam][0])).T)\n",
    "                state_tmp=np.dot(state_tmp, myRz(np.arccos(data[sam][0] ** 2)).T)\n",
    "                res_state=np.kron(res_state, state_tmp)\n",
    "            elif i% 2 == 1:\n",
    "                state_tmp=np.dot(zero_state, myRy(np.arcsin(data[sam][1])).T)\n",
    "                state_tmp=np.dot(state_tmp, myRz(np.arccos(data[sam][1] ** 2)).T)\n",
    "                res_state=np.kron(res_state, state_tmp)\n",
    "        res.append(res_state)\n",
    "\n",
    "    res = np.array(res)\n",
    "    return res.astype(\"complex128\")\n",
    "\n",
    "print(\"As a test, we enter the classical information:\")\n",
    "print(\"(x_0, x_1) = (1, 0)\")\n",
    "print(\"The 2-qubit quantum state output after encoding is:\")\n",
    "print(datapoints_transform_to_state(np.array([[1, 0]]), n_qubits=2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building Quantum Neural Network \n",
    "After completing the encoding from classical data to quantum data, we can now input these quantum states into the quantum computer. Before that, we also need to design the quantum neural network.\n",
    "\n",
    "![QC-fig-classifier_circuit](figures/qclassifier-fig-circuit.png)\n",
    "\n",
    "For convenience, we call the parameterized quantum neural network as $U(\\boldsymbol{\\theta})$. $U(\\boldsymbol{\\theta})$ is a key component of our classifier, and it needs a certain complex structure to fit our decision boundary. Similar to traditional neural networks, the structure of a quantum neural network is not unique. The structure shown above is just one case. You could design your own structure. Let’s take the previously mentioned data point $x = (x_0, x_1)= (1,0)$ as an example. After encoding, we have obtained a quantum state $|\\psi\\rangle$,\n",
    "\n",
    "$$\n",
    "|\\psi\\rangle =\n",
    "\\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "1-i \\\\\n",
    "0 \\\\\n",
    "1-i \\\\\n",
    "0\n",
    "\\end{bmatrix}.\n",
    "\\tag{9}\n",
    "$$\n",
    "\n",
    "Then we input this quantum state into our quantum neural network (QNN). That is, multiply a unitary matrix by a vector to get the processed quantum state $|\\varphi\\rangle$\n",
    "\n",
    "$$\n",
    "|\\varphi\\rangle = U(\\boldsymbol{\\theta})|\\psi\\rangle.\n",
    "\\tag{10}\n",
    "$$\n",
    "\n",
    "If we set all the QNN parameters to be $\\theta = \\pi$, then we can write down the resulting state:\n",
    "\n",
    "$$\n",
    "|\\varphi\\rangle =\n",
    "U(\\boldsymbol{\\theta} =\\pi)|\\psi\\rangle =\n",
    "\\begin{bmatrix}\n",
    "0 &0 &-1 &0 \\\\\n",
    "-1 &0 &0 &0 \\\\\n",
    "0 &1 &0 &0 \\\\\n",
    "0 &0 &0 &1\n",
    "\\end{bmatrix}\n",
    "\\cdot\n",
    "\\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "1-i \\\\\n",
    "0 \\\\\n",
    "1-i \\\\\n",
    "0\n",
    "\\end{bmatrix}\n",
    "= \\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "-1+i \\\\\n",
    "-1+i \\\\\n",
    "0 \\\\\n",
    "0\n",
    "\\end{bmatrix}.\n",
    "\\tag{11}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:03.865651Z",
     "start_time": "2021-01-09T07:57:03.854112Z"
    }
   },
   "outputs": [],
   "source": [
    "# Simulation of building a quantum neural network\n",
    "def U_theta(theta, n, depth):\n",
    "    \"\"\"\n",
    "    :param theta: dim: [n, depth + 3]\n",
    "    :param n: number of qubits\n",
    "    :param depth: circuit depth\n",
    "    :return: U_theta\n",
    "    \"\"\"\n",
    "    # Initialize the network\n",
    "    cir = UAnsatz(n)\n",
    "    \n",
    "    # Build a rotation layer\n",
    "    for i in range(n):\n",
    "        cir.rz(theta[i][0], i)\n",
    "        cir.ry(theta[i][1], i)\n",
    "        cir.rz(theta[i][2], i)\n",
    "\n",
    "    # The default depth is depth = 1\n",
    "    # Build the entangleed layer and Ry rotation layer\n",
    "    for d in range(3, depth + 3):\n",
    "        for i in range(n-1):\n",
    "            cir.cnot([i, i + 1])\n",
    "        cir.cnot([n-1, 0])\n",
    "        for i in range(n):\n",
    "            cir.ry(theta[i][d], i)\n",
    "\n",
    "    return cir.U"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Measurement and loss function\n",
    "After the initial quantum state, $|\\psi\\rangle$ has been processed with QNN on the quantum computer (QPU), we need to measure this new quantum state $|\\varphi\\rangle$ to obtain the classical information. These processed classical information can be used to calculate the loss function $\\mathcal{L}(\\boldsymbol{\\theta})$. Finally, we use the classical computer (CPU) to continuously update the QNN parameters $\\boldsymbol{\\theta}$ and optimize the loss function. Here we measure the expected value of the Pauli $Z$ operator on the first qubit. Specifically,\n",
    "\n",
    "$$\n",
    "\\langle Z \\rangle =\n",
    "\\langle \\varphi |Z\\otimes I\\cdots \\otimes I| \\varphi\\rangle.\n",
    "\\tag{12}\n",
    "$$\n",
    "\n",
    "Recall that the matrix of the Pauli $Z$ operator is defined as:\n",
    "\n",
    "$$\n",
    "Z := \\begin{bmatrix} 1 &0 \\\\ 0 &-1 \\end{bmatrix}.\n",
    "\\tag{13}\n",
    "$$\n",
    "\n",
    "Continuing our previous 2-qubit example, the expected value we get after the measurement is\n",
    "\n",
    "$$\n",
    "\\langle Z \\rangle =\n",
    "\\langle \\varphi |Z\\otimes I| \\varphi\\rangle =\n",
    "\\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "-1-i \\quad\n",
    "-1-i \\quad\n",
    "0 \\quad\n",
    "0\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "1 &0 &0 &0 \\\\\n",
    "0 &1 &0 &0 \\\\\n",
    "0 &0 &-1 &0 \\\\\n",
    "0 &0 &0 &-1\n",
    "\\end{bmatrix}\n",
    "\\cdot\n",
    "\\frac{1}{2}\n",
    "\\begin{bmatrix}\n",
    "-1+i \\\\\n",
    "-1+i \\\\\n",
    "0 \\\\\n",
    "0\n",
    "\\end{bmatrix}\n",
    "= 1. \\tag{14}\n",
    "$$\n",
    "\n",
    "This measurement result seems to be our original label 1. Does this mean that we have successfully classified this data point? This is not the case because the range of $\\langle Z \\rangle$ is usually between $[-1,1]$. To match it to our label range $y^{(i)} \\in \\{0,1\\}$, we need to map the upper and lower limits. The simplest mapping is \n",
    "\n",
    "$$\n",
    "\\tilde{y}^{(i)} = \\frac{\\langle Z \\rangle}{2} + \\frac{1}{2} + bias \\quad \\in [0, 1].\n",
    "\\tag{15}\n",
    "$$\n",
    "\n",
    "Using bias is a trick in machine learning. The purpose is to make the decision boundary not restricted by the origin or some hyperplane. Generally, the default bias is initialized to be 0, and the optimizer will continuously update it like all the other parameters $\\theta$ in the iterative process to ensure $\\tilde{y}^{k} \\in [0, 1]$. Of course, you can also choose other complex mappings (activation functions), such as the sigmoid function. After mapping, we can regard $\\tilde{y}^{k}$ as the label we estimated. $\\tilde{y}^{k}< 0.5$ corresponds to label 0, and $\\tilde{y}^{k}> 0.5$ corresponds to label 1. It's time to quickly review the whole process before we finish discussion,\n",
    "\n",
    "$$\n",
    "x^{(i)} \\rightarrow |\\psi\\rangle^{(i)} \\rightarrow U(\\boldsymbol{\\theta})|\\psi\\rangle^{(i)} \\rightarrow\n",
    "|\\varphi\\rangle^{(i)} \\rightarrow ^{(i)}\\langle \\varphi |Z\\otimes I\\cdots \\otimes I| \\varphi\\rangle^{(i)}\n",
    "\\rightarrow \\langle Z \\rangle  \\rightarrow \\tilde{y}^{(i)}. \\tag{16}\n",
    "$$\n",
    "\n",
    "Finally, we can define the loss function as a square loss function:\n",
    "\n",
    "$$\n",
    "\\mathcal{L} = \\sum_{(i)} |y^{(i)}-\\tilde{y}^{(i)}|^2. \\tag{17}\n",
    "$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:03.895356Z",
     "start_time": "2021-01-09T07:57:03.881315Z"
    }
   },
   "outputs": [],
   "source": [
    "# Generate Pauli Z operator that only acts on the first qubit\n",
    "# Act the identity matrix on rest of the qubits\n",
    "def Observable(n):\n",
    "    \"\"\"\n",
    "    :param n: number of qubits\n",
    "    :return: local observable: Z \\otimes I \\otimes ...\\otimes I\n",
    "    \"\"\"\n",
    "    Ob = pauli_str_to_matrix([[1.0,'z0']], n)\n",
    "    return Ob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:03.924958Z",
     "start_time": "2021-01-09T07:57:03.905210Z"
    }
   },
   "outputs": [],
   "source": [
    "# Build the computational graph\n",
    "class Net(fluid.dygraph.Layer):\n",
    "    \"\"\"\n",
    "    Construct the model net\n",
    "    \"\"\"\n",
    "    def __init__(self,\n",
    "                 n, # number of qubits\n",
    "                 depth, # circuit depth\n",
    "                 seed_paras=1,\n",
    "                 dtype='float64'):\n",
    "        super(Net, self).__init__()\n",
    "\n",
    "        self.n = n\n",
    "        self.depth = depth\n",
    "        \n",
    "        # Initialize the parameters theta with a uniform distribution of [0, 2*pi]\n",
    "        self.theta = self.create_parameter(\n",
    "            shape=[n, depth + 3],\n",
    "            attr=fluid.initializer.Uniform(low=0.0, high=2*PI, seed=seed_paras),\n",
    "            dtype=dtype,\n",
    "            is_bias=False)\n",
    "        \n",
    "        # Initialize bias\n",
    "        self.bias = self.create_parameter(\n",
    "            shape=[1],\n",
    "            attr=fluid.initializer.NormalInitializer(scale=0.01, seed=seed_paras + 10),\n",
    "            dtype=dtype,\n",
    "            is_bias=False)\n",
    "\n",
    "    # Define forward propagation mechanism, and then calculate loss function and cross-validation accuracy\n",
    "    def forward(self, state_in, label):\n",
    "        \"\"\"\n",
    "        Args:\n",
    "            state_in: The input quantum state, shape [-1, 1, 2^n]\n",
    "            label: label for the input state, shape [-1, 1]\n",
    "        Returns:\n",
    "            The loss:\n",
    "                L = ((<Z> + 1)/2 + bias-label)^2\n",
    "        \"\"\"\n",
    "        # Convert Numpy array to variable supported in PaddlePaddle dynamic graph mode\n",
    "        Ob = fluid.dygraph.to_variable(Observable(self.n))\n",
    "        label_pp = fluid.dygraph.to_variable(label)\n",
    "\n",
    "        # According to the randomly initialized parameters theta to build the quantum gate\n",
    "        Utheta = U_theta(self.theta, n=self.n, depth=self.depth)\n",
    "        \n",
    "        # Because Utheta is achieved by learning, we compute with row vectors to speed up without affecting the training effect\n",
    "        state_out = matmul(state_in, Utheta) # dimension [-1, 1, 2 ** n]\n",
    "        \n",
    "        # Measure the expected value of Pauli Z operator <Z>\n",
    "        E_Z = matmul(matmul(state_out, Ob),transpose(ComplexVariable(state_out.real, -state_out.imag), perm=[0, 2, 1]))\n",
    "        \n",
    "        # Mapping <Z> to the estimated value of the label\n",
    "        state_predict = E_Z.real[:, 0] * 0.5 + 0.5 + self.bias\n",
    "        loss = fluid.layers.reduce_mean((state_predict -label_pp) ** 2)\n",
    "        \n",
    "        # Calculate the accuracy of cross-validation\n",
    "        is_correct = fluid.layers.where(\n",
    "        fluid.layers.abs(state_predict-label_pp)< 0.5).shape[0]\n",
    "        acc = is_correct / label.shape[0]\n",
    "\n",
    "        return loss, acc, state_predict.numpy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training process\n",
    "\n",
    "After defining all the concepts above, we might take a look at the actual training process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:04.326512Z",
     "start_time": "2021-01-09T07:57:04.307569Z"
    }
   },
   "outputs": [],
   "source": [
    "def heatmap_plot(net, N):\n",
    "    # generate data points x_y_\n",
    "    Num_points = 30\n",
    "    x_y_ = []\n",
    "    for row_y in np.linspace(0.9, -0.9, Num_points):\n",
    "        row = []\n",
    "        for row_x in np.linspace(-0.9, 0.9, Num_points):\n",
    "            row.append([row_x, row_y])\n",
    "        x_y_.append(row)\n",
    "    x_y_ = np.array(x_y_).reshape(-1, 2).astype(\"float64\")\n",
    "\n",
    "    # make prediction: heat_data\n",
    "    input_state_test = fluid.dygraph.to_variable(\n",
    "        datapoints_transform_to_state(x_y_, N))\n",
    "    loss_useless, acc_useless, state_predict = net(state_in=input_state_test, label=x_y_[:, 0])\n",
    "    heat_data = state_predict.reshape(Num_points, Num_points)\n",
    "\n",
    "    # plot\n",
    "    fig = plt.figure(1)\n",
    "    ax = fig.add_subplot(111)\n",
    "    x_label = np.linspace(-0.9, 0.9, 3)\n",
    "    y_label = np.linspace(0.9, -0.9, 3)\n",
    "    ax.set_xticks([0, Num_points // 2, Num_points-1])\n",
    "    ax.set_xticklabels(x_label)\n",
    "    ax.set_yticks([0, Num_points // 2, Num_points-1])\n",
    "    ax.set_yticklabels(y_label)\n",
    "    im = ax.imshow(heat_data, cmap=plt.cm.RdBu)\n",
    "    plt.colorbar(im)\n",
    "    plt.show()\n",
    "\n",
    "def QClassifier(Ntrain, Ntest, gap, N, D, EPOCH, LR, BATCH, seed_paras, seed_data,):\n",
    "    \"\"\"\n",
    "    Quantum Binary Classifier\n",
    "    \"\"\"\n",
    "    # Initialize PaddlePaddle dynamic graph mechanism\n",
    "    with fluid.dygraph.guard():\n",
    "        \n",
    "        # Generate data set\n",
    "        train_x, train_y, test_x, test_y = circle_data_point_generator(Ntrain=Ntrain, Ntest=Ntest, boundary_gap=gap, seed_data=seed_data)\n",
    "        \n",
    "        # Read the dimension of the training set\n",
    "        N_train = train_x.shape[0]\n",
    "        \n",
    "        # Define optimization graph\n",
    "        net = Net(n=N, depth=D, seed_paras=seed_paras)\n",
    "        \n",
    "        # Generally, we use Adam optimizer to get relatively good convergence\n",
    "        # Of course, it can be changed to SGD or RMSprop\n",
    "        opt = fluid.optimizer.AdamOptimizer(learning_rate=LR, parameter_list=net.parameters())\n",
    "        \n",
    "        # Initialize the registers to store the accuracy rate and other information\n",
    "        summary_iter, summary_test_acc = [], []\n",
    "        \n",
    "        # Optimize iteration\n",
    "        for ep in range(EPOCH):\n",
    "            for itr in range(N_train // BATCH):\n",
    "                \n",
    "                # Encode classical data into a quantum state |psi>, dimension [-1, 2 ** N]\n",
    "                input_state = fluid.dygraph.to_variable(datapoints_transform_to_state(train_x[itr * BATCH:(itr + 1) * BATCH], N))\n",
    "                \n",
    "                # Run forward propagation to calculate loss function\n",
    "                loss, train_acc, state_predict_useless \\\n",
    "                    = net(state_in=input_state, label=train_y[itr * BATCH:(itr + 1) * BATCH])\n",
    "                if itr% 50 == 0:\n",
    "                    # Calculate the correct rate on the test set test_acc\n",
    "                    input_state_test = fluid.dygraph.to_variable(datapoints_transform_to_state(test_x, N))\n",
    "                    loss_useless, test_acc, state_predict_useless \\\n",
    "                        = net(state_in=input_state_test,label=test_y)\n",
    "                    print(\"epoch:\", ep, \"iter:\", itr,\n",
    "                          \"loss: %.4f\"% loss.numpy(),\n",
    "                          \"train acc: %.4f\"% train_acc,\n",
    "                          \"test acc: %.4f\"% test_acc)\n",
    "                    \n",
    "                    # Store accuracy rate and other information\n",
    "                    summary_iter.append(itr + ep * N_train)\n",
    "                    summary_test_acc.append(test_acc)\n",
    "                    \n",
    "                # Under the dynamic graph mechanism, run back propagation to minimize the loss function\n",
    "                loss.backward()\n",
    "                opt.minimize(loss)\n",
    "                net.clear_gradients()\n",
    "\n",
    "        # Draw the decision boundary represented by heatmap\n",
    "        heatmap_plot(net, N=N)\n",
    "\n",
    "    return summary_test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-01-09T07:57:45.788537Z",
     "start_time": "2021-01-09T07:57:05.493220Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The dimensions of the training set x (200, 2) and y (200, 1)\n",
      "The dimensions of the test set x (100, 2) and y (100, 1) \n",
      "\n",
      "epoch: 0 iter: 0 loss: 0.0249 train acc: 1.0000 test acc: 0.5200\n",
      "epoch: 0 iter: 50 loss: 0.1501 train acc: 1.0000 test acc: 0.7500\n",
      "epoch: 0 iter: 100 loss: 0.1369 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 0 iter: 150 loss: 0.0838 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 1 iter: 0 loss: 0.1815 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 1 iter: 50 loss: 0.1355 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 1 iter: 100 loss: 0.0649 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 1 iter: 150 loss: 0.0781 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 2 iter: 0 loss: 0.1762 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 2 iter: 50 loss: 0.1357 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 2 iter: 100 loss: 0.0608 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 2 iter: 150 loss: 0.0761 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 3 iter: 0 loss: 0.1759 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 3 iter: 50 loss: 0.1329 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 3 iter: 100 loss: 0.0603 train acc: 1.0000 test acc: 1.0000\n",
      "epoch: 3 iter: 150 loss: 0.0741 train acc: 1.0000 test acc: 1.0000\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"248.693344pt\" version=\"1.1\" viewBox=\"0 0 308.866062 248.693344\" width=\"308.866062pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2021-01-09T15:57:45.716119</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 248.693344 \n",
       "L 308.866062 248.693344 \n",
       "L 308.866062 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 33.710938 224.815219 \n",
       "L 251.150937 224.815219 \n",
       "L 251.150937 7.375219 \n",
       "L 33.710938 7.375219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pbf0dc4e4a4)\">\n",
       "    <image height=\"218\" id=\"image47ba4f50c6\" transform=\"scale(1 -1)translate(0 -218)\" width=\"218\" x=\"33.710938\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"-6.815219\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m0183eb4aac\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.334938\" xlink:href=\"#m0183eb4aac\" y=\"224.815219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- -0.9 -->\n",
       "      <g transform=\"translate(27.579469 239.413656)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 4.890625 31.390625 \n",
       "L 31.203125 31.390625 \n",
       "L 31.203125 23.390625 \n",
       "L 4.890625 23.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\"/>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "        <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-45\"/>\n",
       "       <use x=\"36.083984\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"99.707031\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"131.494141\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"146.054937\" xlink:href=\"#m0183eb4aac\" y=\"224.815219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(138.103375 239.413656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"247.526937\" xlink:href=\"#m0183eb4aac\" y=\"224.815219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.9 -->\n",
       "      <g transform=\"translate(239.575375 239.413656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"md0e638ed24\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.710938\" xlink:href=\"#md0e638ed24\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.9 -->\n",
       "      <g transform=\"translate(10.807812 14.798437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.710938\" xlink:href=\"#md0e638ed24\" y=\"119.719219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(10.807812 123.518437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.710938\" xlink:href=\"#md0e638ed24\" y=\"221.191219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- -0.9 -->\n",
       "      <g transform=\"translate(7.2 224.990437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-45\"/>\n",
       "       <use x=\"36.083984\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"99.707031\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"131.494141\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 33.710938 224.815219 \n",
       "L 33.710938 7.375219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 251.150937 224.815219 \n",
       "L 251.150937 7.375219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 33.710938 224.815219 \n",
       "L 251.150937 224.815219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 33.710938 7.375219 \n",
       "L 251.150937 7.375219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path clip-path=\"url(#p1f35133fba)\" d=\"M 267.890938 224.815219 \n",
       "L 267.890938 223.965844 \n",
       "L 267.890938 8.224594 \n",
       "L 267.890938 7.375219 \n",
       "L 278.762938 7.375219 \n",
       "L 278.762938 8.224594 \n",
       "L 278.762938 223.965844 \n",
       "L 278.762938 224.815219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n",
       "   </g>\n",
       "   <image height=\"217\" id=\"imagec546f14262\" transform=\"scale(1 -1)translate(0 -217)\" width=\"11\" x=\"268\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"-7\"/>\n",
       "   <g id=\"matplotlib.axis_3\"/>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 3.5 0 \n",
       "\" id=\"m94faaf3738\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.762938\" xlink:href=\"#m94faaf3738\" y=\"217.571834\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.4 -->\n",
       "      <g transform=\"translate(285.762938 221.371053)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.762938\" xlink:href=\"#m94faaf3738\" y=\"170.263708\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(285.762938 174.062927)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.762938\" xlink:href=\"#m94faaf3738\" y=\"122.955582\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.6 -->\n",
       "      <g transform=\"translate(285.762938 126.754801)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.762938\" xlink:href=\"#m94faaf3738\" y=\"75.647456\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.7 -->\n",
       "      <g transform=\"translate(285.762938 79.446674)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.762938\" xlink:href=\"#m94faaf3738\" y=\"28.339329\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.8 -->\n",
       "      <g transform=\"translate(285.762938 32.138548)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 267.890938 224.815219 \n",
       "L 267.890938 223.965844 \n",
       "L 267.890938 8.224594 \n",
       "L 267.890938 7.375219 \n",
       "L 278.762938 7.375219 \n",
       "L 278.762938 8.224594 \n",
       "L 278.762938 223.965844 \n",
       "L 278.762938 224.815219 \n",
       "z\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pbf0dc4e4a4\">\n",
       "   <rect height=\"217.44\" width=\"217.44\" x=\"33.710938\" y=\"7.375219\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p1f35133fba\">\n",
       "   <rect height=\"217.44\" width=\"10.872\" x=\"267.890938\" y=\"7.375219\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The main program finished running in  40.28910207748413 seconds.\n"
     ]
    }
   ],
   "source": [
    "def main():\n",
    "    \"\"\"\n",
    "    main\n",
    "    \"\"\"\n",
    "    time_start = time.time()\n",
    "    acc = QClassifier(\n",
    "        Ntrain = 200,    # Specify the training set size\n",
    "        Ntest = 100,     # Specify the test set size\n",
    "        gap = 0.5,       # Set the width of the decision boundary\n",
    "        N = 4,           # Number of qubits required\n",
    "        D = 1,           # Circuit depth\n",
    "        EPOCH = 4,       # Number of training epochs\n",
    "        LR = 0.01,       # Set the learning rate\n",
    "        BATCH = 1,       # Batch size during training\n",
    "        seed_paras = 19, # Set random seed to initialize various parameters\n",
    "        seed_data = 2,   # Fixed random seed required to generate the data set\n",
    "    )\n",
    "    \n",
    "    time_span = time.time()-time_start\n",
    "    print('The main program finished running in ', time_span, 'seconds.')\n",
    "if __name__ == '__main__':\n",
    "    main()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By printing out the training results, you can see that the classification accuracy in the test set and the data set after continuous optimization has reached $100\\%$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_______\n",
    "\n",
    "## References\n",
    "\n",
    "\n",
    "[1] Mitarai, Kosuke, et al. Quantum circuit learning. [Physical Review A 98.3 (2018): 032309.](https://arxiv.org/abs/1803.00745)\n",
    "\n",
    "[2] Farhi, Edward, and Hartmut Neven. Classification with quantum neural networks on near term processors. [arXiv preprint arXiv:1802.06002 (2018).](https://arxiv.org/abs/1802.06002)\n",
    "\n",
    "[3] [Schuld, Maria, et al. Circuit-centric quantum classifiers. [Physical Review A 101.3 (2020): 032308.](https://arxiv.org/abs/1804.00633)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}